diff --git a/.gitignore b/.gitignore index e7eae09..6fc556a 100644 --- a/.gitignore +++ b/.gitignore @@ -2,4 +2,8 @@ .DS_Store *.eps *.pdf +*.tex +*.txt *.gph +*.ipynb_* +*.stswp diff --git a/README.md b/README.md index c5736a3..6ec20ac 100644 --- a/README.md +++ b/README.md @@ -1,13 +1,20 @@ -# 《数理统计》课程代码 -该项目中主要包含上海对外经贸大学司继春《数理统计》课程的相关代码,主要包括讲义中的示意性代码以及Python、Julia语言的Jupyter Notebook。 +# 《数理统计》、《随机过程》课程代码 +该项目中主要包含上海对外经贸大学司继春《数理统计》课程以及《随机过程》的相关代码,主要包括讲义中的示意性代码以及Python、Julia语言的Jupyter Notebook。 ## 讲义中代码 讲义中的代码主要包含在以下地址中:[Code in Notes](https://github.com/sijichun/MathStatsCode/tree/master/code_in_notes),其中Stata数据文件包含在以下地址中:[Datasets](https://github.com/sijichun/MathStatsCode/tree/master/code_in_notes/datasets)。 ## Python Notebook 除讲义中的代码以外,本课程还提供一些Jupyter Notebook。这些Notebooks可以作为编程作业的参考: +### 《数理统计》代码 * [Numpy+Matplotlib+random 介绍](https://github.com/sijichun/MathStatsCode/blob/master/notebook_python/Numpy%2BMatplotlib%2Brandom.ipynb) * [生成多元正态分布](https://github.com/sijichun/MathStatsCode/blob/master/notebook_python/Normal.ipynb) * [大数定律与中心极限定律](https://github.com/sijichun/MathStatsCode/blob/master/notebook_python/LLN_CLT.ipynb) * [矩估计、极大似然估计与区间估计](https://github.com/sijichun/MathStatsCode/blob/master/notebook_python/estimation.ipynb) * [假设检验](https://github.com/sijichun/MathStatsCode/blob/master/notebook_python/Testing.ipynb) +### 《随机过程》代码 + +* [马尔可夫链](https://github.com/sijichun/MathStatsCode/blob/master/notebook_python/DiscreteMarkov.ipynb) +* [泊松过程](https://github.com/sijichun/MathStatsCode/blob/master/notebook_python/Poisson_Process.ipynb) +* [布朗运动](https://github.com/sijichun/MathStatsCode/blob/master/notebook_python/Brownian.ipynb) +* [蒙特卡洛](https://github.com/sijichun/MathStatsCode/blob/master/notebook_python/MonteCarlo.ipynb) ## Julia Notebook * [Julia介绍](https://github.com/sijichun/MathStatsCode/blob/master/notebook_julia/Julia.ipynb) diff --git a/code_in_notes/Benford.do b/code_in_notes/Benford.do new file mode 100644 index 0000000..3775eac --- /dev/null +++ b/code_in_notes/Benford.do @@ -0,0 +1,29 @@ +// Benford.do +clear all +use datasets/citydata.dta +keep if Year==2011 + +// 将GDP转为字符串 +tostring v84, gen(gdp_string) +// 取出GDP数字字符串的第一位 +gen first_digit=substr(gdp_string, 1,1) +// 将第一位数字字符串转化为数字 +destring first_digit, replace +// 统计频数 +tab first_digit +// 创建一个数据框用于检验 +frame create chi2test Ng Ng_star +quietly: su first_digit +local N=r(N) +forvalues i=1/9{ + quietly: su first_digit if first_digit==`i' + local Ng=r(N) + local Ng_star=`N'*(log10(`i'+1)-log10(`i')) + frame post chi2test (`Ng') (`Ng_star') +} +frame chi2test: gen test_stat=(Ng-Ng_star)^2/Ng_star +frame chi2test: su test_stat +frame chi2test: local test_stat=r(sum) +di "test statistics= `test_stat'" +local p=1-chi2(8 ,`test_stat') +di "p-value= `p'" diff --git a/code_in_notes/CI_large_sample.do b/code_in_notes/CI_large_sample.do new file mode 100644 index 0000000..94e605a --- /dev/null +++ b/code_in_notes/CI_large_sample.do @@ -0,0 +1,28 @@ +// CI_large_sample.do +clear +set seed 97 +set more off +cap program drop CIz +program define CIz, rclass + syntax [, obs(integer 100) mu(real 3) confident_level(real 0.95)] + quietly{ + drop _all + set obs `obs' + tempvar d x + tempname lb ub alpha + local `alpha'=1-`confident_level' + gen `d'=runiform()<0.5 + gen `x'=`d'*(rnormal()+`mu')+(1-`d')*(rnormal()-`mu') + su `x' + local `lb'=r(mean)-invnormal(1-``alpha''/2)*r(sd)/sqrt(`obs') + local `ub'=r(mean)+invnormal(1-``alpha''/2)*r(sd)/sqrt(`obs') + return scalar lb=``lb'' + return scalar ub=``ub'' + return scalar include_true=(``lb''<=0 & ``ub''>=0) + } +end + +simulate it=r(include_true), reps(10000): CIz, obs(10) +su +simulate it=r(include_true), reps(10000): CIz, obs(100) +su diff --git a/code_in_notes/CI_large_sample.py b/code_in_notes/CI_large_sample.py deleted file mode 100644 index 2be8961..0000000 --- a/code_in_notes/CI_large_sample.py +++ /dev/null @@ -1,36 +0,0 @@ -#!/usr/bin/python3 -## file: CI_large_sample.py -import numpy as np -from numpy import random as nprd -from scipy import special as func - -def sampling(N): - ## 产生一组样本,以0.5的概率为z+3,0.5的概率为z-3, - #其中z~N(0,1),因而期望为0,方差为10 - d=nprd.rand(N)<0.5 - z=nprd.randn(N) - x=[z[i]+3 if d[i] else z[i]-3 for i in range(N)] - x=np.array(x) - return x - -## true value -N=[10,50,100,500,1000] # sample size -## iteration times -M=1000 -## confidence level -alpha=0.05 -for n in N: - ## results - included=np.zeros(M) - for i in range(M): - x=sampling(n) - xmean=np.mean(x) - xstd=np.std(x) - lower=xmean-1.96*xstd/np.sqrt(n) - upper=xmean+1.96*xstd/np.sqrt(n) - # 如果包含真值 - #print(mu, lower, upper, mu>=lower, mu<=upper) - if 0>=lower and 0<=upper: - included[i]=1 - print("Sample size=%s, the prob. of included=" % n,\ - np.mean(included)) diff --git a/code_in_notes/CI_small_sample.do b/code_in_notes/CI_small_sample.do new file mode 100644 index 0000000..b23a8d7 --- /dev/null +++ b/code_in_notes/CI_small_sample.do @@ -0,0 +1,26 @@ +// CI_small_sample.do +clear +set seed 97 +set more off +cap program drop CIt +program define CIt, rclass + syntax [, obs(integer 10) mu(real 0) sigma(real 1) confident_level(real 0.95)] + quietly{ + drop _all + set obs `obs' + tempvar x + tempname lb ub df alpha + local `alpha'=1-`confident_level' + local `df'=`obs'-1 + gen `x'=`sigma'*rnormal()+`mu' + su `x' + local `lb'=r(mean)-invttail(``df'',``alpha''/2)*r(sd)/sqrt(`obs') + local `ub'=r(mean)+invttail(``df'',``alpha''/2)*r(sd)/sqrt(`obs') + return scalar lb=``lb'' + return scalar ub=``ub'' + return scalar include_true=(``lb''<=`mu' & ``ub''>=`mu') + } +end + +simulate it=r(include_true), reps(10000): CIt, obs(10) mu(5) sigma(10) +su \ No newline at end of file diff --git a/code_in_notes/CI_small_sample.py b/code_in_notes/CI_small_sample.py deleted file mode 100644 index 5462185..0000000 --- a/code_in_notes/CI_small_sample.py +++ /dev/null @@ -1,31 +0,0 @@ -#!/usr/bin/python3 -## file: CI_small_sample.py -import numpy as np -from numpy import random as nprd -from scipy import special as func - -def sampling(mu, sigma2, N): - x=nprd.normal(mu,np.sqrt(sigma2),N) - return x - -## true value -mu=10 -sigma2=30 -N=10 # sample size -sqrtn=np.sqrt(N) -## iteration times -M=1000 -## confidence level -alpha=0.05 -## results -included=np.zeros(M) -for i in range(M): - x=sampling(mu,sigma2,10) - xmean=np.mean(x) - xstd=np.std(x) - lower=xmean-func.stdtrit(N-1,1-alpha/2)*xstd/sqrtn - upper=xmean+func.stdtrit(N-1,1-alpha/2)*xstd/sqrtn - # 如果包含真值 - if mu>=lower and mu<=upper: - included[i]=1 -print("The prob. of included=",np.mean(included)) diff --git a/code_in_notes/GMM_Poisson.do b/code_in_notes/GMM_Poisson.do new file mode 100644 index 0000000..14b33f0 --- /dev/null +++ b/code_in_notes/GMM_Poisson.do @@ -0,0 +1,31 @@ +// GMM_Poisson.do +clear all +set more off +set seed 20231130 +cap program drop est_lambda +program est_lambda, eclass + syntax varlist(max=1) [, lambda(real 1)] + tempvar x2 + quietly{ + gen `x2'=`varlist'^2 + gmm (`varlist'-{lambda=`lambda'}) (`x2'-({lambda}+{lambda}^2)), winit(identity) onestep + } + mat b=e(b) + mat V=e(V) + ereturn post b V + ereturn display +end + +frame create simulation lambda xmean +forvalues i=1/1000{ + clear + quietly{ + set obs 100 + gen x=rpoisson(10) + su x + local mean_x = r(mean) + est_lambda x + frame post simulation (_b[/lambda]) (`mean_x') + } +} +frame simulation: su diff --git a/code_in_notes/GMM_ettobit.do b/code_in_notes/GMM_ettobit.do new file mode 100644 index 0000000..6909600 --- /dev/null +++ b/code_in_notes/GMM_ettobit.do @@ -0,0 +1,23 @@ +// GMM_ettobit.do +clear +set more off +set obs 500 +set seed 8997 +// 生成数据 +gen x=rnormal(3,2) +local a=10 +local alpha=5 +local beta=3 +local sigma=2 +gen y = exp(`alpha'+`beta'*x+rnormal()*sqrt(`sigma'))-`a' +// 生成工具 +gen x2=x^2 +gen x3=x^3 +gen x_e=exp(x) +gen x_sin=sin(x) +// 计算a的初始值 +su y +local a_init=-1*r(min)+5 +// GMM估计 +gmm (log({a=`a_init'}+y)-{alpha=0}-{beta=0}*x) ((log({a}+y)-{alpha}-{beta}*x)*x) ((log({a}+y)-{alpha}-{beta}*x)*x2) ((log({a}+y)-{alpha}-{beta}*x)*x3) ((log({a}+y)-{alpha}-{beta}*x)*x_e) ((log({a}+y)-{alpha}-{beta}*x)*x_sin), winit(identity) + diff --git a/code_in_notes/GMM_mini_chi2.do b/code_in_notes/GMM_mini_chi2.do new file mode 100644 index 0000000..5cd69d9 --- /dev/null +++ b/code_in_notes/GMM_mini_chi2.do @@ -0,0 +1,50 @@ +// GMM_mini_chi2.do +clear all +set more off +set seed 20231213 +cap program drop est_lambda_chi2 +program est_lambda_chi2, rclass + syntax varname [, lambda(real 1) lambda0(real 10) n(integer 100)] + tempvar x2 m1_0 m2_0 + tempname mean_m1_0 mean_m2_0 vec_g chi2_est chi2_true wmatrix objf + quietly{ + gen `x2'=`varlist'^2 + gmm (`varlist'-{lambda=`lambda'}) (`x2'-({lambda}+{lambda}^2)), winit(identity) + local `chi2_est'=e(J) + mat `wmatrix'=e(W) + gen `m1_0'=`varlist'-`lambda0' + gen `m2_0'=`x2'-(`lambda0'+`lambda0'^2) + su `m1_0' + local `mean_m1_0'=r(sum) + su `m2_0' + local `mean_m2_0'=r(sum) + mat `vec_g'=(``mean_m1_0'' \ ``mean_m2_0'') + mat `objf'=`vec_g''*`wmatrix'*`vec_g' + local `chi2_true'=`objf'[1,1]/`n' + } + return scalar chi2_est = ``chi2_est'' + return scalar chi2_true = ``chi2_true'' +end + +frame create simulation chi2_est chi2_true +forvalues i=1/2000{ + quietly{ + clear + set obs 100 + gen x=rpoisson(10) + est_lambda_chi2 x, lambda0(10) n(100) + frame post simulation (r(chi2_est)) (r(chi2_true)) + } +} +frame change simulation +label variable chi2_est "估计值处的目标函数" +label variable chi2_true "真值处的目标函数" +gen density_chi2_1=chi2den(1,chi2_est) +label variable density_chi2_1 "Chi(1)密度函数" +gen density_chi2_2=chi2den(2,chi2_est) +label variable density_chi2_2 "Chi(2)密度函数" +sort chi2_est +twoway (hist chi2_est, density) (line density_chi2_1 chi2_est if chi2_est>0.3) (line density_chi2_2 chi2_est if chi2_est>0.3), legend(pos(1) ring(0) label(1 "估计值处的目标函数密度")) xtitle("") +graph export GMM_mini_chi2_1.pdf, replace +twoway (hist chi2_true, density) (line density_chi2_1 chi2_est if chi2_est>0.3) (line density_chi2_2 chi2_est if chi2_est>0.3), legend(pos(1) ring(0) label(1 "真值处的目标函数密度")) xtitle("") +graph export GMM_mini_chi2_2.pdf, replace \ No newline at end of file diff --git a/code_in_notes/MCMC_independent_integ.py b/code_in_notes/MCMC_independent_integ.py new file mode 100644 index 0000000..fcece5a --- /dev/null +++ b/code_in_notes/MCMC_independent_integ.py @@ -0,0 +1,22 @@ +## MCMC_independent_integ.py + +import numpy as np +from numpy import random as nprd +nprd.seed(19880505) + +##设定参数 +M = 10000 +h1 = lambda x: 0.5 * np.exp(-90 * (x[0] - 0.5)**2 - 45 * (x[1] + 0.1)**2) + +##抽样 +x = [(nprd.random() * 2 - 1, nprd.random() * 2 - 1) for i in range(M)] + +##计算h(x) +sample = list(map(h, x)) +integral = 4 * np.mean(sample) +se = 4 * np.std(sample) / np.sqrt(M) +subsample_001 = list(filter(lambda x: x > 0.01, sample)) +print("Intgral=", integral) +print("s.e. of Integral=", se) +print("95% C.I.:", integral - 1.96 * se, "~", integral + 1.96 * se) +print("Ratio of >0.01 samples:", len(subsample_001) / M) diff --git a/code_in_notes/MCMC_independent_mh.py b/code_in_notes/MCMC_independent_mh.py new file mode 100644 index 0000000..8f6c576 --- /dev/null +++ b/code_in_notes/MCMC_independent_mh.py @@ -0,0 +1,20 @@ +## mcmc_independent_mh.py +##独立的MCMC算法,输入: +## N_samples : 抽样次数 +## pai(x) : 目标密度函数 +## q(y) : 工具密度函数 +## q_sampler : 给定x,从q中抽样的函数 +## x0 : 初始值 +from numpy import random as nprd +def MH_independent(N_samples, pai, q, q_sampler, x0): + X = [] + x = x0 + for i in range(N_samples): + y = q_sampler() + rho = min(1, pai(y) * q(x) / (pai(x) * q(y))) + if nprd.uniform() <= rho: + X.append(y) + x = y + else: + X.append(x) + return X diff --git a/code_in_notes/MCMC_logistic.py b/code_in_notes/MCMC_logistic.py new file mode 100644 index 0000000..42a489f --- /dev/null +++ b/code_in_notes/MCMC_logistic.py @@ -0,0 +1,82 @@ +#!/usr/bin/python3 +## file: MonteCarlo.py + +import numpy as np +from numpy import random as nprd + +##设定参数 +M =20000 +#真值 +beta_0=1 +beta_1=1 +beta_2=-1 +#样本量 +N=200 +#Logistic函数 +Logistic=lambda x: 1.0/(1+np.exp(-1*x)) + +##产生数据 +def gen_logit(N): + Data=[] + for n in range(N): + x1=nprd.normal()*1.414+1 + x2=nprd.chisquare(2) + d_star=beta_0+beta_1*x1+beta_2*x2 + p_star=Logistic(d_star) + d=(1 if nprd.uniform() 0.01, sample)) +print("Intgral=", integral) +print("s.e. of Integral=", se) +print("95% C.I.:", integral - 1.96 * se, "~", integral + 1.96 * se) +print("Ratio of >0.01 samples:", len(subsample_001) / M) diff --git a/code_in_notes/RUN_ALL.do b/code_in_notes/RUN_ALL.do new file mode 100644 index 0000000..a818818 --- /dev/null +++ b/code_in_notes/RUN_ALL.do @@ -0,0 +1,33 @@ +clear +set more off +** begin +do uniform.do +do check_random.do +do exponential.do +do rejection_trunc.do +do rejection_trunc_optimal.do +do gaussian_mixture.do +do standard_normal_var.do +do standard_normal_mean.do +do test_power_function.do +do qqplot_hs300.do +do statistic_mean.do +do empirical_distribution.do +do simulate_LLN.do +do simulate_CLT.do +do histogram_kdensity.do +do charts_bar.do +do charts_cibar.do +do scatter_consump.do +do zipf_law.do +do bubble_chart.do +do box_plot.do +do bootstrap_lognormal.do +do test_power_function.do +do simulation_wald_test.do +do simulation_lm_test.do +do simulation_lm_ols_test.do +do simulation_lr_test.do +do GMM_mini_chi2.do +do dgp_mle_censor_simulate.do +do bayes_lambda_gamma.do \ No newline at end of file diff --git a/code_in_notes/Titanic.do b/code_in_notes/Titanic.do new file mode 100644 index 0000000..c9161c9 --- /dev/null +++ b/code_in_notes/Titanic.do @@ -0,0 +1,25 @@ +// Titanic.do +clear all +use datasets/titanic.dta +// 按照性别加总 +collapse (sum)num_aboard (sum)num_death, by(sex) +// 计算幸存人数 +gen num_survive=num_aboard-num_death +// 计算死亡总人数、幸存总人数 +qui: sum num_death +local death=r(sum) +qui: sum num_survive +local survive=r(sum) +local N=`death'+`survive' +// 计算理论死亡、幸存人数 +gen e_num_death=num_aboard*`death'/`N' +gen e_num_survive=num_aboard*`survive'/`N' +// 计算检验统计量 +gen chi2_death=(num_death-e_num_death)^2/e_num_death +gen chi2_survive=(num_survive-e_num_survive)^2/e_num_survive +gen chi2=chi2_death+chi2_survive +qui: su chi2 +local test_stat=r(sum) +di "test statistics= `test_stat'" +local p=1-chi2(2 ,`test_stat') +di "p-value= `p'" diff --git a/code_in_notes/ab_test.do b/code_in_notes/ab_test.do new file mode 100644 index 0000000..cbfd5d8 --- /dev/null +++ b/code_in_notes/ab_test.do @@ -0,0 +1,11 @@ +// ab_test.do +// 导入数据 +clear +set more off +import delimited "datasets/ba_sales_data.csv" + +// 加总用户交易量 +collapse (sum) sale_price (max) test_option, by(user_id) + +// 进行检验 +ttest sale_price, by(test_option) diff --git a/code_in_notes/bayes_lambda_gamma.do b/code_in_notes/bayes_lambda_gamma.do new file mode 100644 index 0000000..905b80a --- /dev/null +++ b/code_in_notes/bayes_lambda_gamma.do @@ -0,0 +1,28 @@ +// bayes_lambda_gamma.do +clear all +// generate data, P(10) +set obs 100 +set seed 15634145 +gen lambda = rgamma(5,2) +gen x = rpoisson(lambda) +sum x +local sum_x = r(sum) +local N = _N +// compute posterior +frame create posterior a b alpha beta posterior +forvalues a=5(0.03)15{ + forvalues b=1(0.05)40{ + local alpha = `a'^2/`b' + local beta = `b'/`a' + gen log_gamma_alpha_p_x = lngamma(`alpha'+x) + qui: su log_gamma_alpha_p_x + local log_gamma_alpha_p_x = r(sum) + drop log_gamma_alpha_p_x + local posterior = `sum_x'*log(`beta')+`log_gamma_alpha_p_x'-`N'*lngamma(`alpha')-(`alpha'*`N'+`sum_x')*log(1+`beta') + frame post posterior (`a') (`b') (`alpha') (`beta') (`posterior') + di "." _continue + } +} +gen scatter_label="(10.49, 25.2)" if _n==143408 +frame posterior: twoway (contourline posterior b a, levels(15)) (scatter b a if _n==143408, mlabel(scatter_label)) +graph export bayes_lambda_gamma.pdf, replace \ No newline at end of file diff --git a/code_in_notes/bootstrap_lognormal.do b/code_in_notes/bootstrap_lognormal.do new file mode 100644 index 0000000..ad0f977 --- /dev/null +++ b/code_in_notes/bootstrap_lognormal.do @@ -0,0 +1,32 @@ +// bootstrap_lognormal.do +clear all +set more off +set seed 1000 +set obs 10 +// 产生样本 +local mu=2 +gen z=rnormal(`mu',sqrt(2)) +gen x=exp(z) +// 进行估计 +su x +local mu_hat=log(r(mean))-1 +di `mu_hat' +// 进行再抽样,将再抽样结果放入到数据框bootstrap中 +frame create bootstrap mu_star +local B=10000 +forvalues i=1/`B'{ + quietly{ + gen z_star=rnormal(`mu_hat',sqrt(2)) + gen x_star=exp(z_star) + su x_star + local mu_star=log(r(mean))-1 + frame post bootstrap (`mu_star') + drop z_star + drop x_star + } +} +frame bootstrap: hist mu_star +graph export bootstrap_lognormal.pdf, replace +frame bootstrap: su mu_star, de +local mu_star_bar=r(mean) +di "mu_bc=" _skip 2*`mu_hat'-`mu_star_bar' \ No newline at end of file diff --git a/code_in_notes/bootstrap_lognormal_np.do b/code_in_notes/bootstrap_lognormal_np.do new file mode 100644 index 0000000..601a1e0 --- /dev/null +++ b/code_in_notes/bootstrap_lognormal_np.do @@ -0,0 +1,23 @@ +// bootstrap_lognormal_np.do +clear all +set more off +set seed 1000 +set obs 10 +// 产生样本 +local mu=2 +gen z=rnormal(`mu',sqrt(2)) +gen x=exp(z) +// 定义估计的program +cap drop program lognormalest +program define lognormalest, rclass + syntax varname + quietly { + su `varlist' + local mu=log(r(mean))-1 + return scalar mu=`mu' + } +end +// bootstrap +local B=1000 +bootstrap mu=r(mu), reps(`B'): lognormalest x +estat bootstrap \ No newline at end of file diff --git a/code_in_notes/bootstrap_student.do b/code_in_notes/bootstrap_student.do new file mode 100644 index 0000000..1645103 --- /dev/null +++ b/code_in_notes/bootstrap_student.do @@ -0,0 +1,22 @@ +// bootstrap_student.do +clear all +use datasets/OHIE_QJE.dta +// bootstrap +bootstrap b=_b[treatment] se=_se[treatment], reps(200) seed(55) cluster(household_id) saving(bootstrap_student.dta, replace): reg birthyear_list treatment, vce(bootstrap) +// 进行回归,保存系数和标准误 +reg birthyear_list treatment +local b=_b[treatment] +local se=_se[treatment] +// 打开一个数据框,装入bootstrap_student.dta +frame create bootstrap_sample +frame change bootstrap_sample +use bootstrap_student.dta +gen t=(b-`b')/se +sort t +local alpha_25=(t[floor(_N*0.025)]+t[ceil(_N*0.025)])/2 +local alpha_975=(t[floor(_N*0.975)]+t[ceil(_N*0.975)])/2 +// 计算好分位数,返回 +frame change default +rm bootstrap_student.dta +// 计算置信区间 +di "置信区间为:" _skip "[" `b'-`alpha_975'*`se' "," `b'-`alpha_25'*`se' "]" diff --git a/code_in_notes/box_plot.do b/code_in_notes/box_plot.do new file mode 100644 index 0000000..8fb511e --- /dev/null +++ b/code_in_notes/box_plot.do @@ -0,0 +1,14 @@ +// box_plot.do +use datasets/chfs_ind.dta, clear +// 生成对数变量 +gen log_income=log10(labor_inc) +label variable log_income "对数收入" +// 箱线图 +graph box log_income, noout +graph export box_plot.pdf, replace +// 加标签 +label def sex 1 "男性" +label def sex 2 "女性", add +label values a2003 sex +graph hbox log_income, over(a2003) +graph export box_plot_by_sex.pdf, replace diff --git a/code_in_notes/brownian.py b/code_in_notes/brownian.py new file mode 100644 index 0000000..1999817 --- /dev/null +++ b/code_in_notes/brownian.py @@ -0,0 +1,68 @@ +import numpy as np +import numpy.random as nprd + +t=np.linspace(0.0,5.0,5000) +B1=np.zeros(len(t)) +B2=np.zeros(len(t)) +B3=np.zeros(len(t)) +B4=np.zeros(len(t)) +B5=np.zeros(len(t)) +B6=np.zeros(len(t)) +b1=b2=b3=b4=b5=b6=0 +epsilon=np.sqrt(t[1]-t[0]) +for tt in range(len(t)): + B1[tt]=b1 + b1=b1+nprd.normal(0,epsilon) + B2[tt]=b2 + b2=b2+nprd.normal(0,epsilon) + B3[tt]=b3 + b3=b3+nprd.normal(0,epsilon) + B4[tt]=b4 + b4=b4+nprd.normal(0,epsilon) + B5[tt]=b5 + b5=b5+nprd.normal(0,epsilon) + B6[tt]=b6 + b6=b6+nprd.normal(0,epsilon) + +import matplotlib.pyplot as plt +# 设定图像大小 +plt.rcParams['figure.figsize'] = (10.0, 10.0) +plt.figure(0) +plt.plot(t,B1,label=r'Brownian Motion1',color='blue') +plt.plot(t,B2,label=r'Brownian Motion2',color='red') +plt.plot(t,B3,label=r'Brownian Motion3',color='pink') +plt.plot(t,B4,label=r'Brownian Motion4',color='green') +plt.plot(t,B5,label=r'Brownian Motion5',color='orange') +plt.plot(t,B6,label=r'Brownian Motion6',color='yellow') +plt.legend(loc='upper left', frameon=True) +plt.savefig("brownian_motion.eps") + +t=np.linspace(0.0,5.0,10000) +B1=np.zeros(len(t)) +B2=np.zeros(len(t)) +B3=np.zeros(len(t)) +B4=np.zeros(len(t)) +B5=np.zeros(len(t)) +B6=np.zeros(len(t)) +b1=b2=b3=b4=b5=b6=0 +epsilon=np.sqrt(t[1]-t[0]) +for tt in range(len(t)): + B1[tt]=b1 + b1=b1+nprd.normal(0,epsilon) + B2[tt]=b2 + b2=b2+nprd.normal(0,epsilon) + B3[tt]=b3 + b3=b3+nprd.normal(0,epsilon) + B4[tt]=b4 + b4=b4+nprd.normal(0,epsilon) + B5[tt]=b5 + b5=b5+nprd.normal(0,epsilon) + B6[tt]=b6 + b6=b6+nprd.normal(0,epsilon) + +plt.figure(1) +plt.plot(B1,B2,label=r'Brownian Motion1',color='blue') +plt.plot(B3,B4,label=r'Brownian Motion2',color='red') +plt.plot(B5,B6,label=r'Brownian Motion3',color='green') +plt.legend(loc='upper left', frameon=True) +plt.savefig("brownian_motion_2d.eps") diff --git a/code_in_notes/bubble_chart.do b/code_in_notes/bubble_chart.do new file mode 100644 index 0000000..44767d2 --- /dev/null +++ b/code_in_notes/bubble_chart.do @@ -0,0 +1,16 @@ +// bubble_chart.do +clear +use datasets/citydata.dta +keep if Year==2011 +// 省份代码、判断东中西部 +gen prov=floor(CityCode/10000) +gen east=inlist(prov,11,12,13,21,31,32,33,35,37,44,46) +gen middle=inlist(prov,14,22,23,34,36,41,43,42) +gen west=inlist(prov,15,45,50,51,52,53,54,61,62,63,64,65) +// 产生变量 +gen log_gdp_per_capita=log(v84)-log(v86) +gen log_pop=log(v86) +gen log_waste_water=log(v266) +// 画图 +twoway (scatter log_waste_water log_gdp_per_capita [fw=v86] if east, msize(tiny) mcolor(blue%30)) (scatter log_waste_water log_gdp_per_capita [fw=v86] if middle, msize(tiny) mcolor(green%30)) (scatter log_waste_water log_gdp_per_capita [fw=v86] if west, msize(tiny) mcolor(red%30)), legend(off) xtitle("对数人均GDP") ytitle("对数工业废水排放量") +graph export bubble_chart.pdf, replace diff --git a/code_in_notes/charts_bar.do b/code_in_notes/charts_bar.do new file mode 100644 index 0000000..09ae75e --- /dev/null +++ b/code_in_notes/charts_bar.do @@ -0,0 +1,23 @@ +// charts_bar.do +use datasets/chfs_ind.dta, clear +label def education 1 "文盲" +label def education 2 "小学", add +label def education 3 "初中", add +label def education 4 "高中", add +label def education 5 "中专/职高", add +label def education 6 "大专/高职", add +label def education 7 "大学本科", add +label def education 8 "硕士研究生", add +label def education 9 "博士研究生", add +label values a2012 education +graph bar, over(a2012, label(angle(15))) +graph export chart_bar1.pdf, replace +graph bar (count), over(a2012, label(angle(15))) +graph export chart_bar2.pdf, replace +graph hbar (mean) labor_inc, over(a2012) +graph export chart_bar3.pdf, replace +collapse (count) labor_inc (mean) mean_income = labor_inc (median) median_income = labor_inc, by(a2012) +gen edu_left=a2012-0.2 +gen edu_right=a2012+0.2 +twoway (bar mean_income edu_left, barw(0.2)) (bar median_income a2012, barw(0.2)) (bar labor_inc edu_right, yaxis(2) barw(0.2)), xlabel(1 "文盲" 2 "小学" 3 "初中" 4 "高中" 5 "中专/职高'" 6 "大专/高职" 7 "大学本科" 8 "硕士研究生" 9 "博士研究生", angle(20)) xtitle("文化程度") ytitle("金额", axis(1)) ytitle("人数", axis(2)) legend(pos(11) ring(0) label(1 "收入均值") label(2 "收入中位数") lab(3 "频数") row(3) symxsize(4)) +graph export chart_bar4.pdf, replace diff --git a/code_in_notes/charts_cibar.do b/code_in_notes/charts_cibar.do new file mode 100644 index 0000000..3b5a353 --- /dev/null +++ b/code_in_notes/charts_cibar.do @@ -0,0 +1,17 @@ +// charts_cibar.do +use datasets/chfs_ind.dta, clear +label def sex 1 "男" +label def sex 2 "女", add +label values a2003 sex +label def education 1 "文盲" +label def education 2 "小学", add +label def education 3 "初中", add +label def education 4 "高中", add +label def education 5 "中专/职高", add +label def education 6 "大专/高职", add +label def education 7 "大学本科", add +label def education 8 "硕士研究生", add +label def education 9 "博士研究生", add +label values a2012 education +cibar labor_inc , over1( a2003 ) over2( a2012 ) bargap(5) barcol(gs10 gs5) graphopts(xlabel(,angle(20))) +graph export charts_cibar.pdf, replace \ No newline at end of file diff --git a/code_in_notes/check_random.do b/code_in_notes/check_random.do index f8fcafd..8ecdc8e 100644 --- a/code_in_notes/check_random.do +++ b/code_in_notes/check_random.do @@ -12,4 +12,4 @@ reshape wide x, i(group) j(variable_id) // 画散点图 scatter x1 x0 , graphr(fcolor(white) color(white)) // 保存图片 -graph export check_random_stata.eps, replace +graph export check_random_stata.pdf, replace diff --git a/code_in_notes/check_random.py b/code_in_notes/check_random.py index ff38d1e..b7c52d7 100644 --- a/code_in_notes/check_random.py +++ b/code_in_notes/check_random.py @@ -1,15 +1,13 @@ -#!/usr/bin/python3 -## file: check_random.py import numpy as np import numpy.random as nprd # 获取序贯的1000个均匀分布随机数 -x=nprd.random(1000) +x = nprd.random(1000) # 将1000个均匀分布随机数按照奇偶数分成两个序列x0 和x1 -x0=np.array([x[i] for i in range(1000) if i%2==0]) -x1=np.array([x[i] for i in range(1000) if i%2==1]) +x0 = np.array([x[i] for i in range(1000) if i % 2 == 0]) +x1 = np.array([x[i] for i in range(1000) if i % 2 == 1]) # 画图 import matplotlib.pyplot as plt # 设定图像大小 plt.rcParams['figure.figsize'] = (8.0, 5.0) -plt.scatter(x0,x1,color='blue') ## 画出散点图 -plt.savefig("check_random_py.eps") +plt.scatter(x0, x1, color='blue') ## 画出散点图 +plt.savefig("check_random_py.pdf") \ No newline at end of file diff --git a/code_in_notes/clustering_wholesale.do b/code_in_notes/clustering_wholesale.do new file mode 100644 index 0000000..46aecc8 --- /dev/null +++ b/code_in_notes/clustering_wholesale.do @@ -0,0 +1,24 @@ +// clustering.do +// 导入数据 +clear +set more off +import delimited "datasets/wholesale.csv" + +/* 进行聚类,使用层次聚类: +average linkage +angular(角度,余弦相似度)*/ +cluster averagelinkage fresh milk grocery frozen detergents_paper delicassen, measure(angular) +// 画图 +//cluster dendrogram, cutnumber(30) +// 分5类 +cluster gen cluster1=groups(5) +// kmeans 聚类,使用层次聚类的结果作为初试类别 +cluster kmeans fresh milk grocery frozen, /* + */k(5) measure(angular) start(group(cluster1)) +rename _clus_2 cluster_kmeans +// 画图,比如fresh和grocery +twoway (scatter fresh grocery if cluster_kmeans==1)/* + */(scatter fresh grocery if cluster_kmeans==2)/* + */(scatter fresh grocery if cluster_kmeans==3)/* + */(scatter fresh grocery if cluster_kmeans==4)/* + */(scatter fresh grocery if cluster_kmeans==5), legend(off) diff --git "a/code_in_notes/datasets/2017\344\270\255\345\233\275\345\256\266\345\272\255\351\207\221\350\236\215\350\260\203\346\237\245\351\227\256\345\215\267.pdf" "b/code_in_notes/datasets/2017\344\270\255\345\233\275\345\256\266\345\272\255\351\207\221\350\236\215\350\260\203\346\237\245\351\227\256\345\215\267.pdf" new file mode 100644 index 0000000..e83cfeb Binary files /dev/null and "b/code_in_notes/datasets/2017\344\270\255\345\233\275\345\256\266\345\272\255\351\207\221\350\236\215\350\260\203\346\237\245\351\227\256\345\215\267.pdf" differ diff --git a/code_in_notes/datasets/OHIE_ED_visit.csv b/code_in_notes/datasets/OHIE_ED_visit.csv new file mode 100644 index 0000000..a8861a0 --- /dev/null +++ b/code_in_notes/datasets/OHIE_ED_visit.csv @@ -0,0 +1,24647 @@ +person_id,sample_ed,ed_visit_09mar2008,ed_visit_30sep2009,num_visit_pre_cens_ed +5,1,0,0,0 +8,1,0,1,0 +9,1,1,0,1 +16,1,1,1,1 +18,1,1,0,2 +23,1,0,0,0 +24,1,0,0,0 +29,1,1,1,7 +30,1,0,0,0 +34,1,0,0,0 +37,1,0,0,0 +45,1,1,0,1 +47,1,0,0,0 +48,1,0,0,0 +50,1,0,0,0 +51,1,1,1,5 +52,1,0,0,0 +53,1,0,0,0 +54,1,0,0,0 +59,1,0,0,0 +63,1,0,0,0 +68,1,0,0,0 +70,1,1,0,1 +73,1,1,1,1 +76,1,0,0,0 +77,1,0,0,0 +78,1,0,1,0 +79,1,0,0,0 +80,1,1,1,2 +83,1,0,1,0 +88,1,0,0,0 +89,1,1,1,1 +90,1,0,1,0 +101,1,0,1,0 +102,1,1,1,6 +104,1,1,0,6 +106,1,1,0,1 +108,1,0,0,0 +110,1,1,0,2 +111,1,0,0,0 +113,1,0,0,0 +119,1,1,1,3 +121,1,0,1,0 +127,1,1,1,1 +130,1,0,0,0 +140,1,0,0,0 +144,1,0,0,0 +145,1,0,0,0 +147,1,1,0,1 +148,1,1,0,2 +152,1,1,1,17 +156,1,0,0,0 +162,1,1,1,1 +164,1,1,1,1 +166,1,1,0,1 +168,1,1,0,1 +169,1,0,0,0 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+1,3,11243,2408,2593,15348,108,1886 +1,3,13134,9347,14316,3141,5079,1894 +1,3,31012,16687,5429,15082,439,1163 +1,3,3047,5970,4910,2198,850,317 +1,3,8607,1750,3580,47,84,2501 +1,3,3097,4230,16483,575,241,2080 +1,3,8533,5506,5160,13486,1377,1498 +1,3,21117,1162,4754,269,1328,395 +1,3,1982,3218,1493,1541,356,1449 +1,3,16731,3922,7994,688,2371,838 +1,3,29703,12051,16027,13135,182,2204 +1,3,39228,1431,764,4510,93,2346 +2,3,14531,15488,30243,437,14841,1867 +1,3,10290,1981,2232,1038,168,2125 +1,3,2787,1698,2510,65,477,52 diff --git a/code_in_notes/descriptive_income_and_log.do b/code_in_notes/descriptive_income_and_log.do new file mode 100644 index 0000000..f80f123 --- /dev/null +++ b/code_in_notes/descriptive_income_and_log.do @@ -0,0 +1,8 @@ +// descriptive_income_and_log.do +use datasets/chfs_ind.dta, clear +hist labor_inc, name(income_nolog) bin(100) +gen log_income = log10(labor_inc) +hist log_income, name(income_log) bin(100) +graph combine income_nolog income_log +graph export descriptive_income_and_log.pdf, replace +su log_income \ No newline at end of file diff --git a/code_in_notes/descriptive_mode.do b/code_in_notes/descriptive_mode.do new file mode 100644 index 0000000..55a14fe --- /dev/null +++ b/code_in_notes/descriptive_mode.do @@ -0,0 +1,11 @@ +// descriptive_mode.do +use datasets/chfs_hh.dta, clear +su total_consump +local min_total_consump=r(min) +local max_total_consump=r(max) +local n_group=100 +gen group=floor((total_consump-`min_total_consump')/(`max_total_consump'-`min_total_consump'+0.0001)*`n_group') +tab group +// 样本数最多的组为第2组 +di "众数=" `min_total_consump'+(2+0.5)/`n_group'*(`max_total_consump'-`min_total_consump'+0.0001) +su total_consump, de \ No newline at end of file diff --git a/code_in_notes/dgp_mle_censor.ado b/code_in_notes/dgp_mle_censor.ado new file mode 100644 index 0000000..0b05e4e --- /dev/null +++ b/code_in_notes/dgp_mle_censor.ado @@ -0,0 +1,16 @@ +// dgp_mle_censor.ado +// 数据生成过程 +cap program drop dgp_mle_censor +program dgp_mle_censor + syntax newvarlist(max=1) [, obs(integer 500) mu(real 3.2) sigma2(real 0.5)] + quietly{ + clear + set obs `obs' + tempvar xstar x + gen `xstar'=sqrt(`sigma2')*rnormal()+`mu' + gen `x'= `xstar' if `xstar'<4 & `xstar'>3 + replace `x'=4 if `xstar'>=4 + replace `x'=3 if `xstar'<=3 + gen `varlist'=10^`x' + } +end diff --git a/code_in_notes/dgp_mle_censor_simulate.do b/code_in_notes/dgp_mle_censor_simulate.do new file mode 100644 index 0000000..ca733c2 --- /dev/null +++ b/code_in_notes/dgp_mle_censor_simulate.do @@ -0,0 +1,10 @@ +// dgp_mle_censor_simulate.do +clear +set seed 8855 +dgp_mle_censor x , obs(500) mu(3.3) sigma2(1) +hist x +graph export dgp_mle_censor_hist.pdf, replace +sort x +gen p=_n/_N +line p x, xline(1000 10000, lpattern(dot)) +graph export dgp_mle_censor_cdf.pdf, replace diff --git a/code_in_notes/empirical_distribution.do b/code_in_notes/empirical_distribution.do new file mode 100644 index 0000000..1a3f87b --- /dev/null +++ b/code_in_notes/empirical_distribution.do @@ -0,0 +1,15 @@ +// empirical_distribution.do +use datasets/chfs_ind.dta, clear +// 生成对数变量 +gen log_income=log10(labor_inc) +// 排序 +sort log_income +// 生成排序序号,注意处理可能的缺失值 +gen notmissing=log_income~=. +qui: su notmissing +gen cum_log_income=_n/r(sum) if notmissing +// 画图 +qui: su log_income, de +local median_log_income=r(p50) +line cum_log_income log_income, xline(`median_log_income', lp(dot)) yline(0.5, lp(dot)) +graph export empirical_distribution.pdf, replace diff --git a/code_in_notes/gaussian_mixture.do b/code_in_notes/gaussian_mixture.do new file mode 100644 index 0000000..94ce583 --- /dev/null +++ b/code_in_notes/gaussian_mixture.do @@ -0,0 +1,13 @@ +// check_random.do +set more off +clear +set obs 1000 +// generate x1 and x0 +gen x0=rnormal(2.5,sqrt(0.8)) +gen x1=rnormal(-2,1) +// about 30% patient +gen d=runiform()<0.7 +// generate x +gen x=d*x1+(1-d)*x0 +// histogram +hist x diff --git a/code_in_notes/gencatutility.ado b/code_in_notes/gencatutility.ado new file mode 100644 index 0000000..ad4d92d --- /dev/null +++ b/code_in_notes/gencatutility.ado @@ -0,0 +1,64 @@ +// gencatutility.ado +// Chapter 2.6 in Happiness Quantified: a Satisfaction Calculus Approach, van Praag and Ferrer-i-Carbonell +cap program drop gencatutility +program define gencatutility + version 16 + syntax varname, Gen(name) [Verbose] + tempname level n_levels nl cum cum_nl sum_nl p_nl temp1 temp2 f last_f last_p u uu + local `n_levels' = 0 + local `cum'=0 + local `cum_nl' "" + local `sum_nl'=0 + local `p_nl' "" + local `f' "" + local `u' "" + quietly{ + levelsof `varlist', local(`level') + foreach l of local `level'{ + sum `varlist' if `varlist' == `l' + local `nl' = r(N) + local `cum'=``cum''+``nl'' + local `cum_nl' "``cum_nl'' ``cum''" + local `n_levels'=``n_levels''+1 + local `sum_nl'=``sum_nl''+r(N) + } + foreach l of local `cum_nl'{ + local `nl'=`l'/``sum_nl'' + local `p_nl' "``p_nl'' ``nl''" + local `temp1'=invnormal(``nl'') + local `temp2'=normalden(``temp1'',0,1) + if ``temp1''==.{ + local `temp2'=0 + } + local `f' "``f'' ``temp2''" + } + forvalues i=1/``n_levels''{ + local `temp1': word `i' of ``f'' + local `temp2': word `i' of ``p_nl'' + if `i'==1{ + local `uu'=(0-``temp1'')/(``temp2'') + local `u' "``u'' ``uu''" + local `last_f'=``temp1'' + local `last_p'=``temp2'' + } + else{ + local `uu'=(``last_f''-``temp1'')/(``temp2''-``last_p'') + local `u' "``u'' ``uu''" + local `last_f'=``temp1'' + local `last_p'=``temp2'' + } + } + gen `gen'=. + if "`verbose'" == "verbose"{ + noisily: di "level --- utility" + } + forvalues i=1/``n_levels''{ + local `temp1': word `i' of ``level'' + local `temp2': word `i' of ``u'' + replace `gen'=``temp2'' if `varlist'==``temp1'' + if "`verbose'" == "verbose"{ + noisily: di "``temp1'' --- ``temp2''" + } + } + } +end diff --git a/code_in_notes/geometric_mean.do b/code_in_notes/geometric_mean.do new file mode 100644 index 0000000..e110cce --- /dev/null +++ b/code_in_notes/geometric_mean.do @@ -0,0 +1,15 @@ +// geometric_mean.do +use datasets/hs300index.dta, clear +// 按照时间排序,用行号作为新的时间 +sort day +gen t=_n +tsset t +// 计算增长率 +gen r=clsindex/L.clsindex +gen log_r=log(r) +su log_r +local geo_mean=exp(r(mean)) +di "几何平均数=`geo_mean'" +di "第一天沪深300指数=" clsindex[1] +di "最后一天沪深300指数=" clsindex[_N] +di "使用几何平均数计算:" clsindex[1]*(`geo_mean'^(_N-1)) diff --git a/code_in_notes/ginindex.do b/code_in_notes/ginindex.do index 6da0d44..916dcf4 100644 --- a/code_in_notes/ginindex.do +++ b/code_in_notes/ginindex.do @@ -17,8 +17,7 @@ quietly{ egen `num'=count(`varlist'), by(`_byvars') egen `totalincome'=total(`varlist'), by(`_byvars') gen `cum'=`varlist' if `rank'==1 - by `_byvars': replace `cum'=/* - */ `cum'[_n-1]+`varlist'[_n] if `rank'>1 + by `_byvars': replace `cum'=`cum'[_n-1]+`varlist'[_n] if `rank'>1 gen `rat'=`cum'/`totalincome' // 计算每个个体的柱形面积 by `_byvars': gen `rect'=`rat'/`num' diff --git a/code_in_notes/histogram_kdensity.do b/code_in_notes/histogram_kdensity.do new file mode 100644 index 0000000..6f6e6c6 --- /dev/null +++ b/code_in_notes/histogram_kdensity.do @@ -0,0 +1,6 @@ +// histogram_kdensity.do +use datasets/chfs_ind.dta, clear +// 生成对数变量 +gen log_income=log10(labor_inc) +twoway (hist log_income,bin(100) density) (kdensity log_income) +graph export hist_kdens.pdf, replace diff --git a/code_in_notes/importance_sampling.py b/code_in_notes/importance_sampling.py new file mode 100644 index 0000000..92ae9e3 --- /dev/null +++ b/code_in_notes/importance_sampling.py @@ -0,0 +1,29 @@ +## importance_sampling.py +import numpy as np +from numpy import random as nprd +##设定参数 +M = 10000 +h1 = lambda x: 0.5 * np.exp(-90 * (x[0] - 0.5)**2 - 45 * (x[1] + 0.1)**2) +domain = lambda x: (x[0] >= -1) * (x[1] >= -1) * (x[0] <= 1) * (x[1] <= 1) +pai = lambda x: 1 / 4 * domain(x) +h1_star = lambda x: 4 * h1(x) +mu1 = 0.5 +mu2 = -0.1 +sigma1 = np.sqrt(1 / 180) +sigma2 = np.sqrt(1 / 90) +m = lambda x: 1/(2 * np.pi * sigma1 * sigma2) * \ + np.exp(-1 * (x[0]-mu1)**2/(2 * sigma1**2)\ + - (x[1]-mu2)**2 / (2 * sigma2**2)) + +#从m(x)中采样 +x = [(nprd.normal(mu1, sigma1), nprd.normal(mu2, sigma2))\ + for i in range(M)] + +## 计算积分 +H = list(map(lambda x: h1_star(x) * pai(x) / m(x), x)) +integral = np.mean(H) +se = np.std(H) / np.sqrt(M) +print("Intgral=", integral) +print("s.e. of Integral=", se) +print("95% C.I.:", integral - 1.96 * se, "~", integral + 1.96 * se) + diff --git a/code_in_notes/overid_nb_poi.do b/code_in_notes/overid_nb_poi.do new file mode 100644 index 0000000..5338f35 --- /dev/null +++ b/code_in_notes/overid_nb_poi.do @@ -0,0 +1,12 @@ +// overid_nb_poi.do +clear +set seed 250211 +set obs 100 +gen x = rnbinomial(5,0.2) // 期望为5×0.8/0.2=20 +gen x2 = x^2 +gmm (x-{lambda=1}) (x2-({lambda}+{lambda}^2)), winit(identity) igmm +estat overid +replace x = rpoisson(20) +replace x2 = x^2 +gmm (x-{lambda=1}) (x2-({lambda}+{lambda}^2)), winit(identity) igmm +estat overid \ No newline at end of file diff --git a/code_in_notes/overid_reg_sq.do b/code_in_notes/overid_reg_sq.do new file mode 100644 index 0000000..c3b1a5e --- /dev/null +++ b/code_in_notes/overid_reg_sq.do @@ -0,0 +1,12 @@ +// overid_reg_sq.do +clear +set seed 250211 +set obs 100 +// DGP +gen x = rnormal()*2 +gen x2 = x^2 +gen x3 = x^3 +gen y = 1+2*x+x2+rnormal()*2 +// GMM est and test +gmm (y-{xb: x}-{alpha}), instruments(x x2 x3) +estat overid \ No newline at end of file diff --git a/code_in_notes/qqplot_hs300.do b/code_in_notes/qqplot_hs300.do new file mode 100644 index 0000000..14d7bd5 --- /dev/null +++ b/code_in_notes/qqplot_hs300.do @@ -0,0 +1,22 @@ +// qqplot.do +clear +use datasets/hs300index.dta +// 计算quantile,为了避免出现0和1,减去了0.5 +sort retindex +gen q=(_n-0.5)/_N +// 计算均值、标准差 +sum retindex +local mu=r(mean) +local sd=r(sd) +// 计算正态分布的quantile +gen normal_q = `sd'*invnormal(q)+`mu' +// 画图 +twoway (scatter retindex normal_q) /* + */(line normal_q normal_q), legend(off) +graph export "qqplot_manual_hs300.pdf", replace +// 官方命令 +qnorm retindex +graph export "qqplot_hs300.pdf", replace +// 直方图 +hist retindex, norm +graph export "hist_hs300.pdf", replace diff --git a/code_in_notes/reg_small_b.do b/code_in_notes/reg_small_b.do deleted file mode 100644 index b99261e..0000000 --- a/code_in_notes/reg_small_b.do +++ /dev/null @@ -1,75 +0,0 @@ -** 设置样本容量与自由度 -local sample_size=4 -local d_of_f=`sample_size'-2 -local replications=1000 - -cap program drop random_b_reg -program define random_b_reg, rclass - version 12 - syntax [,obs(integer 4) random(real 0)] - drop _all - set obs `obs' - tempvar x y u - gen `x'=_n+(rnormal()^2-1)/sqrt(2)*`random' - gen `u'=rnormal() - gen `y'=`x'+`u' - reg `y' `x' - return scalar b=(_b[`x']-1) - return scalar std_b=(_b[`x']-1)/_se[`x'] -end - -simulate b=r(b) std_b=r(std_b), reps(`replications'): random_b_reg, obs(`sample_size') random(1.5) - -// dist. of b -quietly: su b -replace b=(b-r(mean))/r(sd) -sort b -gen b_empirical=_n/_N -gen dist_normal=normal(b) -label variable dist_normal "Normal Distribution" -twoway (line b_empirical b) /// - (line dist_normal b) /// - , graphr(fcolor(white) color(white)) xtitle("") /// - saving(reg_small_b_random, replace) - - -// dist. of standarized b -sort std_b -gen std_b_empirical=_n/_N -gen t_den=t(`d_of_f',std_b) -label variable t_den "t(`d_of_f') Distribution" -twoway (line std_b_empirical std_b) /// - (line t_den std_b) /// - , graphr(fcolor(white) color(white)) xtitle("") /// - saving(reg_small_stdb_random, replace) - - -simulate b=r(b) std_b=r(std_b), reps(`replications'): random_b_reg, obs(`sample_size') random(0) -// dist. of b -quietly: su b -replace b=(b-r(mean))/r(sd) -sort b -gen b_empirical=_n/_N -gen dist_normal=normal(b) -label variable dist_normal "Normal Distribution" -twoway (line b_empirical b) /// - (line dist_normal b) /// - , graphr(fcolor(white) color(white)) xtitle("") /// - saving(reg_small_b_fixed, replace) - - -// dist. of standarized b -sort std_b -gen std_b_empirical=_n/_N -gen t_den=t(`d_of_f',std_b) -label variable t_den "t(`d_of_f') Distribution" -twoway (line std_b_empirical std_b) /// - (line t_den std_b) /// - , graphr(fcolor(white) color(white)) xtitle("") /// - saving(reg_small_stdb_fixed, replace) - - -graph combine reg_small_b_random.gph reg_small_stdb_random.gph /// - reg_small_b_fixed.gph reg_small_stdb_fixed.gph, /// - graphr(fcolor(white) color(white)) col(2) -graph export reg_small.eps, replace diff --git a/code_in_notes/rejection_beta.do b/code_in_notes/rejection_beta.do new file mode 100644 index 0000000..6ec4a0b --- /dev/null +++ b/code_in_notes/rejection_beta.do @@ -0,0 +1,16 @@ +// rejection_beta.do +clear +set obs 10000 +set seed 505 +local alpha=4 +local beta=2 +// 求密度函数极值 +local M=betaden(`alpha',`beta',(`alpha'-1)/(`alpha'+`beta'-2)) +gen u=runiform()*`M' +gen x=runiform() +// 计算密度函数 +gen density=betaden(`alpha',`beta',x) +// 抽样 +keep if u=0.5 +gen x=d*rnormal(3,1)+(1-d)*rnormal(-3,1) +hist x +graph export simulate_CLT_mix.pdf, replace +// 模拟 +local graphs "" +foreach N in 2 3 4 10 100 1000{ + frame create mean`N' m + frame mean`N': label variable m "样本均值" + forvalues j=1/2000{ + clear + set obs `N' + gen d=runiform()>=0.5 + gen x=d*rnormal(3,1)+(1-d)*rnormal(-3,1) + su x + frame post mean`N' (r(mean)) + } + frame mean`N': hist m, normal saving(simulate_CLT`N', replace) title("N=`N'") + local graphs "`graphs' simulate_CLT`N'.gph" +} +graph combine `graphs', col(3) +graph export simulate_CLT.pdf, replace diff --git a/code_in_notes/simulate_CLT.py b/code_in_notes/simulate_CLT.py index 0f79b83..df44049 100644 --- a/code_in_notes/simulate_CLT.py +++ b/code_in_notes/simulate_CLT.py @@ -1,62 +1,63 @@ -#!/usr/bin/python3 -## file: simulate_CLT.py import numpy as np from numpy import random as nprd + def sampling(N): - ## 产生一组样本,以0.5的概率为z+3,0.5的概率为z-3 - ## 其中z~N(0,1) - d=nprd.rand(N)<0.5 - z=nprd.randn(N) - x=[z[i]+3 if d[i] else z[i]-3 for i in range(N)] - x=np.array(x) + ## 产生一组样本,以0.5的概率为z+3,0.5的概率为z-3,其中z~N(0,1) + d = nprd.rand(N) < 0.5 + z = nprd.randn(N) + x = np.array([z[i] + 3 if d[i] else z[i] - 3 for i in range(N)]) return x -N=[2,3,4,10,100,1000] # sample size -M=2000 -MEANS=[] + +N = [2, 3, 4, 10, 100, 1000] # sample size +M = 2000 +MEANS = [] for n in N: - mean_x=np.zeros(M) + mean_x = np.zeros(M) for i in range(M): - x=sampling(n) - ## 标准化,因为var(x)=10 - mean_x[i]=np.mean(x)/np.sqrt(10/n) + x = sampling(n) + mean_x[i] = np.mean(x) / np.sqrt(10 / n) ## 标准化,因为var(x)=10 MEANS.append(mean_x) ## 导入matplotlib import matplotlib.pyplot as plt -import matplotlib.mlab as mlab + # 设定图像大小 plt.rcParams['figure.figsize'] = (10.0, 8.0) -x=sampling(3000) +x = sampling(1000) plt.xlabel('x') plt.ylabel('Density') plt.title('Histogram of Mixed Normal') -plt.hist(x,bins=30,normed=1) ## histgram -plt.savefig("simulate_CLT_mix.eps") +plt.hist(x, bins=30, density=True) ## histgram +plt.savefig("simulate_CLT_mix.pdf") +plt.show() ## 均值 -ax1 = plt.subplot(2,3,1) -ax2 = plt.subplot(2,3,2) -ax3 = plt.subplot(2,3,3) -ax4 = plt.subplot(2,3,4) -ax5 = plt.subplot(2,3,5) -ax6 = plt.subplot(2,3,6) +ax1 = plt.subplot(2, 3, 1) +ax2 = plt.subplot(2, 3, 2) +ax3 = plt.subplot(2, 3, 3) +ax4 = plt.subplot(2, 3, 4) +ax5 = plt.subplot(2, 3, 5) +ax6 = plt.subplot(2, 3, 6) ## normal density -x=np.linspace(-3,3,100) -d=[1.0/np.sqrt(2*np.pi)*np.exp(-i**2/2) for i in x] +x = np.linspace(-3, 3, 100) +d = [1.0 / np.sqrt(2 * np.pi) * np.exp(-i**2 / 2) for i in x] -def plot_density(ax,data,N): - ax.hist(data,bins=30,normed=1) ## histgram - ax.plot(x,d) + +def plot_density(ax, data, N): + ax.hist(data, bins=30, density=True) ## histgram + ax.plot(x, d) ax.set_title(r'Histogram of $\bar{x}$:N=%d' % N) -plot_density(ax1,MEANS[0],N[0]) -plot_density(ax2,MEANS[1],N[1]) -plot_density(ax3,MEANS[2],N[2]) -plot_density(ax4,MEANS[3],N[3]) -plot_density(ax5,MEANS[4],N[4]) -plot_density(ax6,MEANS[5],N[5]) -plt.savefig("simulate_CLT.eps") + +plot_density(ax1, MEANS[0], N[0]) +plot_density(ax2, MEANS[1], N[1]) +plot_density(ax3, MEANS[2], N[2]) +plot_density(ax4, MEANS[3], N[3]) +plot_density(ax5, MEANS[4], N[4]) +plot_density(ax6, MEANS[5], N[5]) +plt.savefig("simulate_CLT.pdf") +plt.show() \ No newline at end of file diff --git a/code_in_notes/simulate_LLN.do b/code_in_notes/simulate_LLN.do new file mode 100644 index 0000000..d110668 --- /dev/null +++ b/code_in_notes/simulate_LLN.do @@ -0,0 +1,18 @@ +// simulate_LLN.do +clear +set more off +set seed 8855 +local M=5000 +set obs `M' +gen u=runiform() +gen x=u>=0.5 +gen x_bar=. +forvalues i=1/`M'{ + qui{ + su x if _n<=`i' + replace x_bar = r(mean) if _n==`i' + } +} +gen n=_n +line x_bar n, yline(0.5) +graph export simulate_LLN.pdf, replace diff --git a/code_in_notes/simulate_LLN.py b/code_in_notes/simulate_LLN.py index dc689a3..1703b3c 100644 --- a/code_in_notes/simulate_LLN.py +++ b/code_in_notes/simulate_LLN.py @@ -1,30 +1,35 @@ -#!/usr/bin/python3 -## file: simulate_LLN.py import numpy as np -import matplotlib.pyplot as plt -True_P=0.5 +from numpy import random as nprd + +True_P = 0.5 + + def sampling(N): ## 产生Bernouli样本 - x=np.random.rand(N)0.1 +sort chi2 +twoway (hist chi2, density) (line density chi2), xline(`cv') +graph export simulation_lm_ols_test0.pdf, replace +gen p_005=chi2>=`cv' +su p_005 +// simulation under H1 +clear +simulate chi2=r(chi2_stat),reps(5000): ols_lm_test_stat, beta(0.2) +gen density=chi2den(1,chi2) if chi2>0.1 +sort chi2 +twoway (hist chi2, density) (line density chi2), xline(`cv') +graph export simulation_lm_ols_test1.pdf, replace +gen p_005=chi2>=`cv' +su p_005 diff --git a/code_in_notes/simulation_lm_test.do b/code_in_notes/simulation_lm_test.do new file mode 100644 index 0000000..e3ca485 --- /dev/null +++ b/code_in_notes/simulation_lm_test.do @@ -0,0 +1,37 @@ +// simulation_lm_test.do +clear +set more off +set seed 42 +// test statistic +cap program drop lm_test_stat +program define lm_test_stat, rclass + syntax [,obs(integer 100) lambda(real 10)] + clear + tempvar x x_10 + quietly{ + set obs `obs' + gen `x'=rpoisson(`lambda') + gen `x_10'=`x'-10 + su `x_10' + return scalar chi2_stat=(r(sum))^2/(`obs'*10) + } +end +// upper tail of chi2(1) +local cv=invchi2tail(1,0.05) +// simulation under H0 +simulate chi2=r(chi2_stat),reps(5000): lm_test_stat +gen density=chi2den(1,chi2) if chi2>0.1 +sort chi2 +twoway (hist chi2, density) (line density chi2), xline(`cv') +graph export simulation_lm_test0.pdf, replace +gen p_005=chi2>=`cv' +su p_005 +// simulation under H1 +clear +simulate chi2=r(chi2_stat),reps(5000): lm_test_stat, lambda(11.5) +gen density=chi2den(1,chi2) if chi2>0.1 +sort chi2 +twoway (hist chi2, density) (line density chi2), xline(`cv') +graph export simulation_lm_test1.pdf, replace +gen p_005=chi2>=`cv' +su p_005 diff --git a/code_in_notes/simulation_lr_test.do b/code_in_notes/simulation_lr_test.do new file mode 100644 index 0000000..71fd453 --- /dev/null +++ b/code_in_notes/simulation_lr_test.do @@ -0,0 +1,36 @@ +// simulation_lr_test.do +clear +set more off +set seed 42 +// test statistic +cap program drop lr_test_stat +program define lr_test_stat, rclass + syntax [,obs(integer 100) lambda(real 1)] + clear + tempvar x + quietly{ + set obs `obs' + gen `x'=rpoisson(`lambda') + su `x' + return scalar chi2_stat=2*`obs'*(log(r(mean))*r(mean)-r(mean)+1) + } +end +// upper tail of chi2(1) +local cv=invchi2tail(1,0.05) +// simulation under H0 +simulate chi2=r(chi2_stat),reps(5000): lr_test_stat +gen density=chi2den(1,chi2) if chi2>0.1 +sort chi2 +twoway (hist chi2, density) (line density chi2), xline(`cv') +graph export simulation_lr_test0.pdf, replace +gen p_005=chi2>=`cv' +su p_005 +// simulation under H1 +clear +simulate chi2=r(chi2_stat),reps(5000): lr_test_stat, lambda(1.5) +gen density=chi2den(1,chi2) if chi2>0.1 +sort chi2 +twoway (hist chi2, density) (line density chi2), xline(`cv') +graph export simulation_lr_test1.pdf, replace +gen p_005=chi2>=`cv' +su p_005 diff --git a/code_in_notes/simulation_wald_test.do b/code_in_notes/simulation_wald_test.do new file mode 100644 index 0000000..e2cd028 --- /dev/null +++ b/code_in_notes/simulation_wald_test.do @@ -0,0 +1,36 @@ +// simulation_wald_test.do +clear +set more off +set seed 42 +// test statistic +cap program drop wald_test_stat +program define wald_test_stat, rclass + syntax [,obs(integer 100) mu(real -1) sigma2(real 1)] + clear + tempvar x + quietly{ + set obs `obs' + gen `x'=rnormal(`mu',sqrt(`sigma2')) + su `x' + return scalar chi2_stat=`obs'*(r(mean)^2-1)^2/(4*r(mean)^2*r(Var)) + } +end +// upper tail of chi2(1) +local cv=invchi2tail(1,0.05) +// simulation under H0 +simulate chi2=r(chi2_stat),reps(5000): wald_test_stat +gen density=chi2den(1,chi2) if chi2>0.1 +sort chi2 +twoway (hist chi2, density) (line density chi2), xline(`cv') +graph export simulation_wald_test0.pdf, replace +gen p_005=chi2>=`cv' +su p_005 +// simulation under H1 +clear +simulate chi2=r(chi2_stat),reps(5000): wald_test_stat, mu(1.5) +gen density=chi2den(1,chi2) if chi2>0.1 +sort chi2 +twoway (hist chi2, density) (line density chi2), xline(`cv') +graph export simulation_wald_test1.pdf, replace +gen p_005=chi2>=`cv' +su p_005 diff --git a/code_in_notes/st_call_py_tree.do b/code_in_notes/st_call_py_tree.do new file mode 100644 index 0000000..263a0da --- /dev/null +++ b/code_in_notes/st_call_py_tree.do @@ -0,0 +1,50 @@ +clear +set more off +use datasets/soep_female_labor.dta + +// 定义变量 +local y "employment" +local controls "chld6 chld16 age income husworkhour husemployment region edu husedu" + +// 首先做logit回归做初步探索 +logit `y' `controls' +predict ps_employment_logit +gen predict_employment_logit = ps_employment_logit>=0.5 +gen accuracy_logit = employment == predict_employment_logit + +//放到Python中去做回归树 +python +import numpy as np +import pandas as pd +from sfi import Data, Macro, Missing +def stata2numpy(varname): + data=Data.get(varname) + x=[d if not Missing.isMissing(d) else np.nan for d in data] + return np.array(x) + +y_var_name = Macro.getLocal("y") +x_var_name = Macro.getLocal("controls").split(" ") +y=stata2numpy(y_var_name) +X=pd.DataFrame() +for x in x_var_name: + X[x]=stata2numpy(x) +print(X) +from sklearn import tree +dtree=tree.DecisionTreeClassifier(max_depth=10) ##设定最大深度 +dtree.fit(X,y) ##训练 +prob_df=dtree.predict_proba(X)[:,1] +pred_df=dtree.predict(X) + +def array2stata(npname): + return [n if np.isfinite(n) else Missing.getValue() for n in npname] + +prob=array2stata(prob_df) +pred=array2stata(pred_df) +Data.addVarDouble("predict_employment_tree") +Data.addVarDouble("ps_employment_tree") +Data.store("predict_employment_tree",None,pred) +Data.store("ps_employment_tree",None,prob) +end + +gen accuracy_tree = employment == predict_employment_tree +su accuracy_logit accuracy_tree \ No newline at end of file diff --git a/code_in_notes/standard_normal_mean.do b/code_in_notes/standard_normal_mean.do index a46fca5..8a147ca 100644 --- a/code_in_notes/standard_normal_mean.do +++ b/code_in_notes/standard_normal_mean.do @@ -1,3 +1,4 @@ +// standard_normal_mean.do clear set more off cap program drop std_normal_mean @@ -7,15 +8,14 @@ program define std_normal_mean, rclass drop _all set obs `obs' tempvar x - gen `x'=`sigma'*(rnormal()+`mu') + gen `x'=`sigma'*rnormal()+`mu' su `x' return scalar mean1=sqrt(`obs')*(r(mean)-`mu')/`sigma' return scalar mean2=sqrt(`obs')*(r(mean)-`mu')/r(sd) end local N=8 local df=`N'-1 -simulate std_mean=r(mean1) sample_mean=r(mean2),/* -*/ reps(20000): std_normal_mean, obs(`N') +simulate std_mean=r(mean1) sample_mean=r(mean2), reps(20000): std_normal_mean, obs(`N') // standardised with sigma sort std_mean @@ -23,11 +23,7 @@ gen normal_den_std_mean=normalden(std_mean) label variable normal_den_std_mean "Std Normal Density" gen student_den_std_mean=tden(`df',std_mean) label variable student_den_std_mean "t(`df') Density" -twoway (hist std_mean, density) /// - (line normal_den_std_mean std_mean) /// - (line student_den_std_mean std_mean) /// - , graphr(fcolor(white) color(white)) xtitle("") /// - saving(standard_normal_mean_1, replace) +twoway (hist std_mean, density) (line normal_den_std_mean std_mean) (line student_den_std_mean std_mean) , graphr(fcolor(white) color(white)) xtitle("") saving(standard_normal_mean_1, replace) // standardised with std deviation sort sample_mean @@ -35,13 +31,7 @@ gen normal_den_std_mean2=normalden(sample_mean) label variable normal_den_std_mean2 "Std Normal Density" gen t_den_std_sample_mean=tden(`df',sample_mean) label variable t_den_std_sample_mean "t(`df') Density" -twoway (hist sample_mean, density) /// - (line normal_den_std_mean2 sample_mean) /// - (line t_den_std_sample_mean sample_mean) /// - , graphr(fcolor(white) color(white)) xtitle("") /// - saving(standard_normal_mean_2, replace) +twoway (hist sample_mean, density) (line normal_den_std_mean2 sample_mean) (line t_den_std_sample_mean sample_mean), graphr(fcolor(white) color(white)) xtitle("") saving(standard_normal_mean_2, replace) -graph combine standard_normal_mean_1.gph /* - */ standard_normal_mean_2.gph, /// - graphr(fcolor(white) color(white)) col(2) -graph export standard_normal_mean.eps, replace +graph combine standard_normal_mean_1.gph standard_normal_mean_2.gph, graphr(fcolor(white) color(white)) col(2) +graph export standard_normal_mean.pdf, replace diff --git a/code_in_notes/standard_normal_var.do b/code_in_notes/standard_normal_var.do index 3584d02..c53f807 100644 --- a/code_in_notes/standard_normal_var.do +++ b/code_in_notes/standard_normal_var.do @@ -1,3 +1,4 @@ +// standard_normal_var.do cap program drop std_normal_var program define std_normal_var, rclass version 12 @@ -5,9 +6,9 @@ program define std_normal_var, rclass drop _all set obs `obs' tempvar x - gen `x'=`sigma'*(rnormal()+`mu') + gen `x'=`sigma'*rnormal()+`mu' su `x' - return scalar std_var=(`obs'-1)*r(Var)/`sigma' + return scalar std_var=(`obs'-1)*r(Var)/(`sigma'^2) end simulate std_var=r(std_var), reps(20000): std_normal_var @@ -16,7 +17,5 @@ simulate std_var=r(std_var), reps(20000): std_normal_var sort std_var gen chi2_den=chi2den(9,std_var) label variable chi2_den "Chi2 Density" -twoway (hist std_var, density) /// - (line chi2_den std_var) /// - , graphr(fcolor(white) color(white)) xtitle("") -graph export standard_normal_var.eps, replace +twoway (hist std_var, density) (line chi2_den std_var), graphr(fcolor(white) color(white)) xtitle("") +graph export standard_normal_var.pdf, replace diff --git a/code_in_notes/statistic_mean.do b/code_in_notes/statistic_mean.do new file mode 100644 index 0000000..ca29a8f --- /dev/null +++ b/code_in_notes/statistic_mean.do @@ -0,0 +1,15 @@ +// statistic_mean.do +clear all +set seed 19880505 +frame create means m +forvalues i=1/10000{ + clear + set obs 100 + gen x=rnormal(1,2) + qui: su x + frame post means (r(mean)) +} +frame change means +su m +hist m +graph export statistc_mean.pdf, replace diff --git a/code_in_notes/test_power_function.do b/code_in_notes/test_power_function.do new file mode 100644 index 0000000..fb1d645 --- /dev/null +++ b/code_in_notes/test_power_function.do @@ -0,0 +1,67 @@ +// test_power_function.do +clear +set more off + +** test under H0: mu=mu0 at 5% significant level +cap program drop test_normal_mean +program define test_normal_mean, rclass + version 12 + syntax [,obs(integer 10) mu(real 0) mu0(real 0) sigma(real 1)] + drop _all + set obs `obs' + tempvar x + gen `x'=`sigma'*rnormal()+`mu' + quietly: su `x' + tempname std_mean rejected + scalar `std_mean'=sqrt(`obs')*(r(mean)-`mu0')/r(sd) + di `std_mean' + if abs(`std_mean')>invt(`obs'-1,1-0.05/2){ + scalar `rejected'=1 + } + else{ + scalar `rejected'=0 + } + return scalar rejected=`rejected' +end + +** replicate test for 1000 times by default +cap program drop compute_power +program define compute_power, rclass + version 12 + syntax [,obs(integer 10) mu(real 0) mu0(real 0)/* + */ sigma(real 1) reps(integer 1000)] + quietly{ + preserve // 缓存内存中现有的变量 + drop _all + simulate rejected=r(rejected),reps(`reps'):/* + */ test_normal_mean, obs(`obs') mu(`mu')/* + */ mu0(`mu0') sigma(`sigma') + quietly: su rejected + return scalar power=r(mean) + restore // 恢复preserve之前内存变量 + } +end + +** draw power function for sample size=[5 30 100] +set obs 100 +gen mu=-3+(_n-1)*6/99 +tempname mu +gen power5=. +gen power30=. +gen power100=. +foreach ss in 5 30 100{ + forvalues i= 1/100{ + ** mu in [-3,3] + local `mu'=-3+(`i'-1)*6/99 + compute_power, mu(``mu'') obs(`ss') + replace power`ss'=r(power) in `i' + } +} +label variable mu "Ture value of mu" +label variable power5 "Power 5 Samples" +label variable power30 "Power 30 Samples" +label variable power100 "Power 100 Samples" +twoway (line power5 mu, lpattern(solid))/* + */ (line power30 mu, lpattern(dash))/* + */ (line power100 mu, lpattern(dot)) +graph export power_function.pdf, replace diff --git a/code_in_notes/test_under_null.do b/code_in_notes/test_under_null.do new file mode 100644 index 0000000..2bc82fb --- /dev/null +++ b/code_in_notes/test_under_null.do @@ -0,0 +1,28 @@ +// test_under_null.do +clear +set more off +set seed 880505 +// test under H0: mu=mu0 at 5% significant level +cap program drop test_normal_mean +program define test_normal_mean, rclass + version 12 + syntax [,obs(integer 10) mu(real 0) mu0(real 0) sigma(real 1)] + drop _all + set obs `obs' + tempvar x + gen `x'=`sigma'*rnormal()+`mu' + quietly: su `x' + tempname std_mean rejected + scalar `std_mean'=sqrt(`obs')*(r(mean)-`mu0')/r(sd) + di `std_mean' + if abs(`std_mean')>invt(`obs'-1,1-0.05/2){ + scalar `rejected'=1 + } + else{ + scalar `rejected'=0 + } + return scalar rejected=`rejected' +end + +simulate rejected=r(rejected),reps(10000): test_normal_mean +su rejected diff --git a/code_in_notes/ttest_mean_comparison.do b/code_in_notes/ttest_mean_comparison.do new file mode 100644 index 0000000..108e286 --- /dev/null +++ b/code_in_notes/ttest_mean_comparison.do @@ -0,0 +1,8 @@ +// t-test of two means comparison +use datasets/cfps_adult.dta, clear +gen log_income=log(1+p_income) +// 方差相同假设下的检验 +ttest log_income, by(cfps_gender) +// 方差不相同假设下的检验 +ttest log_income, by(cfps_gender) unequal +// 方差不相同的假设下比较 diff --git a/code_in_notes/twosls_by_hand.do b/code_in_notes/twosls_by_hand.do new file mode 100644 index 0000000..625d783 --- /dev/null +++ b/code_in_notes/twosls_by_hand.do @@ -0,0 +1,56 @@ +// 2SLS by hand +cap program drop twosls +program twosls, eclass + version 15.0 + syntax varlist(max=1), endo(varlist) instru(varlist) /* + */control(varlist) + tempname dep Xhat XhhX pred_endo pred_var b sigma2 V + tempvar resid + local `dep' "`varlist'" + quietly{ + // get the predicted value of endo x + local `pred_var' "" + foreach x of varlist `endo'{ + reg `x' `instru' `control' + predict `pred_endo'_`x' + local `pred_var' "``pred_var'' `pred_endo'_`x'" + } + local `Xhat' "``pred_var'' `control'" + // ols of y on Xhat, get b + reg ``dep'' ``Xhat'' + matrix `b'=e(b) + mat colnames `b'= `endo' `control' _cons + ///// compute variance under homoskedasticity + // first compute residuals + gen `resid'=``dep'' + foreach x of varlist `endo' `control'{ + replace `resid'=`resid'-`b'[1,colnumb(`b',"`x'")]*`x' + } + replace `resid'=`resid'-`b'[1,colnumb(`b',"_cons")] + su `resid' + scalar `sigma2'=r(Var) + // then compute XhhX + matrix accum `XhhX'=``Xhat'' + matrix `V'=`sigma2'*invsym(`XhhX') + mat colnames `V'= `endo' `control' _cons + mat rownames `V'= `endo' `control' _cons + drop ``pred_var'' + } + ereturn clear + ereturn post `b' `V' + ereturn local depvar "``dep''" + ereturn display +end +// test the program +clear +set more off +set obs 1000 +// generate fake data +gen z=rnormal() +gen u=rnormal() +gen x1=z+rnormal()+u +gen x2=z+0.5*rnormal() +gen y=2+x1+x2+u +// compare it with ivregress commmand +ivregress 2sls y (x1=z) x2 +twosls y, endo(x1) instru(z) control(x2) diff --git a/code_in_notes/zipf_law.do b/code_in_notes/zipf_law.do new file mode 100644 index 0000000..ac052c6 --- /dev/null +++ b/code_in_notes/zipf_law.do @@ -0,0 +1,10 @@ +// zipf_law.do +clear +use datasets/citydata.dta +keep if Year==2011 +sort v87 +gen rank=_N-_n+1 +gen log_rank=log10(rank) +gen log_pop=log10(v87*10000) // 数据的单位为万人 +twoway (scatter log_pop log_rank if _n<_N-5) (scatter log_pop log_rank if _n>=_N-5, mlabel(City)), legend(off) xtitle("城市大小排序的对数(从大到小)") ytitle("人口的对数") +graph export zipf_law.pdf, replace diff --git a/notebook_python/Bayes.ipynb b/notebook_python/Bayes.ipynb new file mode 100644 index 0000000..9f13f2e --- /dev/null +++ b/notebook_python/Bayes.ipynb @@ -0,0 +1,1626 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 层次模型——泊松分布\n", + "\n", + "接下来我们对于模型:$$x_{i}\\sim P\\left(\\lambda_{i}\\right),\\lambda_{i}\\sim\\Gamma\\left(\\alpha,\\beta\\right)$$中的$\\alpha,\\beta$的后验分布进行画图。" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'numpy'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m/home/aragorn/Working/MathStat/MathStatsCode/notebook_python/Bayes.ipynb Cell 2\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mnumpy\u001b[39;00m \u001b[39mas\u001b[39;00m \u001b[39mnp\u001b[39;00m\n\u001b[1;32m 2\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mscipy\u001b[39;00m \u001b[39mimport\u001b[39;00m special\n\u001b[1;32m 3\u001b[0m np\u001b[39m.\u001b[39mrandom\u001b[39m.\u001b[39mseed(\u001b[39m19880505\u001b[39m)\n", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'numpy'" + ] + } + ], + "source": [ + "import numpy as np\n", + "from scipy import special\n", + "np.random.seed(19880505)\n", + "x=np.random.poisson(10,50)\n", + "x" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 第一种做法:计算贝叶斯后验分布" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## 计算后验\n", + "delta=0.005\n", + "## 重新参数化\n", + "a=np.arange(8,12,delta)\n", + "b=np.arange(0.001,9,delta)\n", + "A,B=np.meshgrid(a,b)\n", + "Alpha=A**2/B\n", + "Beta=B/A\n", + "## 计算log(pi)\n", + "log_pi=x.sum()*np.log(Beta)\n", + "log_pi-=len(x)*special.loggamma(Alpha)\n", + "for i in range(len(x)):\n", + " log_pi+=special.loggamma(Alpha+x[i])\n", + "log_pi-=(len(x)*Alpha+x.sum())*np.log(1+Beta)\n", + "pi=np.exp(log_pi)\n", + "## 画图\n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "plt.rcParams['figure.figsize'] = (10.0, 6.0)\n", + "fig, ax = plt.subplots()\n", + "ax.set_xlabel(r'$\\alpha\\beta$')\n", + "ax.set_ylabel(r'$\\alpha\\beta^2$')\n", + "CS = ax.contour(A, B, pi)\n", + "fig.savefig(\"possion_hier_bayes.eps\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 第二种方法:经验贝叶斯" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: -688.734221\n", + " Iterations: 162\n", + " Function evaluations: 306\n", + "alpha*beta= 10.3199994976331\n", + "alpha*beta^2= 1.82303028330377\n" + ] + } + ], + "source": [ + "from scipy.optimize import minimize\n", + "\n", + "def estimate(x):\n", + " sum_x=x.sum()\n", + " N=len(x)\n", + " ## 目标函数\n", + " def obj(theta):\n", + " alpha=theta[0]\n", + " beta=theta[1]\n", + " return -(sum_x*np.log(beta)+ \\\n", + " special.loggamma(alpha+x).sum() \\\n", + " -N*special.loggamma(alpha) \\\n", + " -(alpha*N+sum_x)*np.log(1+beta))\n", + " ## 求最优化\n", + " res=minimize(obj, np.array([1,1]), \\\n", + " method='nelder-mead', \\\n", + " options={'xtol': 1e-4, 'disp': True})\n", + " return res\n", + "\n", + "theta=estimate(x).x\n", + "print(\"alpha*beta=\",theta[0]*theta[1])\n", + "print(\"alpha*beta^2=\",theta[0]*theta[1]**2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[11. 10.42208782 1.25086596]\n", + " [ 7. 9.82156873 1.21429398]\n", + " [11. 10.42208782 1.25086596]\n", + " [10. 10.27195805 1.24182395]\n", + " [12. 10.57221759 1.25984309]\n", + " [10. 10.27195805 1.24182395]\n", + " [11. 10.42208782 1.25086596]\n", + " [13. 10.72234736 1.2687567 ]\n", + " [ 8. 9.9716985 1.22353946]\n", + " [10. 10.27195805 1.24182395]\n", + " [10. 10.27195805 1.24182395]\n", + " [15. 11.0226069 1.28639864]\n", + " [17. 11.32286645 1.30380188]\n", + " [17. 11.32286645 1.30380188]\n", + " [14. 10.87247713 1.27760812]\n", + " [ 8. 9.9716985 1.22353946]\n", + " [ 5. 9.52130919 1.19558855]\n", + " [ 8. 9.9716985 1.22353946]\n", + " [ 8. 9.9716985 1.22353946]\n", + " [ 7. 9.82156873 1.21429398]\n", + " [11. 10.42208782 1.25086596]\n", + " [ 7. 9.82156873 1.21429398]\n", + " [ 7. 9.82156873 1.21429398]\n", + " [14. 10.87247713 1.27760812]\n", + " [10. 10.27195805 1.24182395]\n", + " [ 5. 9.52130919 1.19558855]\n", + " [ 9. 10.12182828 1.23271561]\n", + " [14. 10.87247713 1.27760812]\n", + " [ 5. 9.52130919 1.19558855]\n", + " [ 4. 9.37117942 1.18612521]\n", + " [10. 10.27195805 1.24182395]\n", + " [ 8. 9.9716985 1.22353946]\n", + " [ 8. 9.9716985 1.22353946]\n", + " [ 9. 10.12182828 1.23271561]\n", + " [19. 11.62312599 1.32097587]\n", + " [11. 10.42208782 1.25086596]\n", + " [11. 10.42208782 1.25086596]\n", + " [13. 10.72234736 1.2687567 ]\n", + " [ 7. 9.82156873 1.21429398]\n", + " [14. 10.87247713 1.27760812]\n", + " [12. 10.57221759 1.25984309]\n", + " [ 4. 9.37117942 1.18612521]\n", + " [10. 10.27195805 1.24182395]\n", + " [12. 10.57221759 1.25984309]\n", + " [ 9. 10.12182828 1.23271561]\n", + " [14. 10.87247713 1.27760812]\n", + " [ 8. 9.9716985 1.22353946]\n", + " [17. 11.32286645 1.30380188]\n", + " [ 8. 9.9716985 1.22353946]\n", + " [14. 10.87247713 1.27760812]]\n" + ] + } + ], + "source": [ + "lambda_i=(x+theta[0])*(theta[1]/(theta[1]+1))\n", + "lambda_i_sd=np.sqrt((x+theta[0])*(theta[1]/(theta[1]+1))**2)\n", + "print(np.vstack([x,lambda_i,lambda_i_sd]).T)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 实际数据应用:OHIE中的急诊次数" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " person_id sample_ed ed_visit_09mar2008 ed_visit_30sep2009 \\\n", + "0 5 1 0 0 \n", + "1 8 1 0 1 \n", + "2 9 1 1 0 \n", + "3 16 1 1 1 \n", + "4 18 1 1 0 \n", + "5 23 1 0 0 \n", + "6 24 1 0 0 \n", + "7 29 1 1 1 \n", + "8 30 1 0 0 \n", + "9 34 1 0 0 \n", + "10 37 1 0 0 \n", + "11 45 1 1 0 \n", + "12 47 1 0 0 \n", + "13 48 1 0 0 \n", + "14 50 1 0 0 \n", + "15 51 1 1 1 \n", + "16 52 1 0 0 \n", + "17 53 1 0 0 \n", + "18 54 1 0 0 \n", + "19 59 1 0 0 \n", + "\n", + " num_visit_pre_cens_ed \n", + "0 0.0 \n", + "1 0.0 \n", + "2 1.0 \n", + "3 1.0 \n", + "4 2.0 \n", + "5 0.0 \n", + "6 0.0 \n", + "7 7.0 \n", + "8 0.0 \n", + "9 0.0 \n", + "10 0.0 \n", + "11 1.0 \n", + "12 0.0 \n", + "13 0.0 \n", + "14 0.0 \n", + "15 5.0 \n", + "16 0.0 \n", + "17 0.0 \n", + "18 0.0 \n", + "19 0.0 " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "data=pd.read_csv(\"../code_in_notes/datasets/OHIE_ED_visit.csv\")\n", + "data.head(20)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "count 24634.000000\n", + "mean 0.774133\n", + "std 1.863151\n", + "min 0.000000\n", + "25% 0.000000\n", + "50% 0.000000\n", + "75% 1.000000\n", + "max 17.000000\n", + "Name: num_visit_pre_cens_ed, dtype: float64" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['num_visit_pre_cens_ed'].describe()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "进行估计:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 12866.888199\n", + " Iterations: 45\n", + " Function evaluations: 87\n", + "alpha*beta= 0.7737660530364178\n", + "alpha*beta^2= 2.159100476763305\n" + ] + } + ], + "source": [ + "theta=estimate(data['num_visit_pre_cens_ed']).x\n", + "print(\"alpha*beta=\",theta[0]*theta[1])\n", + "print(\"alpha*beta^2=\",theta[0]*theta[1]**2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "预测每一个人的$\\lambda_i$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " person_id sample_ed ed_visit_09mar2008 ed_visit_30sep2009 \\\n", + "0 5 1 0 0 \n", + "1 8 1 0 1 \n", + "2 9 1 1 0 \n", + "3 16 1 1 1 \n", + "4 18 1 1 0 \n", + "5 23 1 0 0 \n", + "6 24 1 0 0 \n", + "7 29 1 1 1 \n", + "8 30 1 0 0 \n", + "9 34 1 0 0 \n", + "10 37 1 0 0 \n", + "11 45 1 1 0 \n", + "12 47 1 0 0 \n", + "13 48 1 0 0 \n", + "14 50 1 0 0 \n", + "15 51 1 1 1 \n", + "16 52 1 0 0 \n", + "17 53 1 0 0 \n", + "18 54 1 0 0 \n", + "19 59 1 0 0 \n", + "\n", + " num_visit_pre_cens_ed pred_lambda pred_lambda_sd \n", + "0 0.0 0.204139 0.387663 \n", + "1 0.0 0.204139 0.387663 \n", + "2 1.0 0.940314 0.832006 \n", + "3 1.0 0.940314 0.832006 \n", + "4 2.0 1.676488 1.110940 \n", + "5 0.0 0.204139 0.387663 \n", + "6 0.0 0.204139 0.387663 \n", + "7 7.0 5.357358 1.985938 \n", + "8 0.0 0.204139 0.387663 \n", + "9 0.0 0.204139 0.387663 \n", + "10 0.0 0.204139 0.387663 \n", + "11 1.0 0.940314 0.832006 \n", + "12 0.0 0.204139 0.387663 \n", + "13 0.0 0.204139 0.387663 \n", + "14 0.0 0.204139 0.387663 \n", + "15 5.0 3.885010 1.691166 \n", + "16 0.0 0.204139 0.387663 \n", + "17 0.0 0.204139 0.387663 \n", + "18 0.0 0.204139 0.387663 \n", + "19 0.0 0.204139 0.387663 " + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data['pred_lambda']=(data['num_visit_pre_cens_ed']+theta[0])*(theta[1]/(theta[1]+1))\n", + "data['pred_lambda_sd']=np.sqrt((data['num_visit_pre_cens_ed']+theta[0])*(theta[1]/(theta[1]+1))**2)\n", + "data.head(20)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "查看针对每一个visit次数的取值预测出的$\\lambda_i$:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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pred_lambdapred_lambda_sd
num_visit_pre_cens_ed
0.00.2041390.387663
1.00.9403140.832006
2.01.6764881.110940
3.02.4126621.332719
4.03.1488361.522528
5.03.8850101.691166
6.04.6211841.844450
7.05.3573581.985938
8.06.0935332.117995
9.06.8297072.242288
10.07.5658812.360044
11.08.3020552.472197
12.09.0382292.579479
13.09.7744032.682473
14.010.5105772.781657
15.011.2467522.877424
16.011.9829262.970104
17.012.7191003.059979
\n", + "
" + ], + "text/plain": [ + " pred_lambda pred_lambda_sd\n", + "num_visit_pre_cens_ed \n", + "0.0 0.204139 0.387663\n", + "1.0 0.940314 0.832006\n", + "2.0 1.676488 1.110940\n", + "3.0 2.412662 1.332719\n", + "4.0 3.148836 1.522528\n", + "5.0 3.885010 1.691166\n", + "6.0 4.621184 1.844450\n", + "7.0 5.357358 1.985938\n", + "8.0 6.093533 2.117995\n", + "9.0 6.829707 2.242288\n", + "10.0 7.565881 2.360044\n", + "11.0 8.302055 2.472197\n", + "12.0 9.038229 2.579479\n", + "13.0 9.774403 2.682473\n", + "14.0 10.510577 2.781657\n", + "15.0 11.246752 2.877424\n", + "16.0 11.982926 2.970104\n", + "17.0 12.719100 3.059979" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[['num_visit_pre_cens_ed','pred_lambda','pred_lambda_sd']].groupby('num_visit_pre_cens_ed').mean()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.stats import gamma\n", + "\n", + "fig, ax = plt.subplots(1,1)\n", + "lam=np.arange(0.15,20,0.01)\n", + "\n", + "for i in range(0,18,4):\n", + " pdf=gamma.pdf(lam, theta[0]+i, 0, theta[1]/(1+theta[1]))\n", + " ax.plot(lam,pdf, label=r\"$x_i=$\"+str(i))\n", + "ax.legend(loc='best', frameon=False)\n", + "plt.show()\n", + "fig.savefig(\"OHIE_bayes_posterior.eps\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "或者,使用Robbins公式:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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freq
num_visit_pre_cens_ed
0.00.687262
1.00.157546
2.00.064707
3.00.034059
4.00.018064
5.00.010798
6.00.007185
7.00.004912
8.00.003369
9.00.002030
10.00.001746
11.00.001461
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13.00.000893
14.00.000934
15.00.000731
16.00.000406
17.00.002720
\n", + "
" + ], + "text/plain": [ + " freq\n", + "num_visit_pre_cens_ed \n", + "0.0 0.687262\n", + "1.0 0.157546\n", + "2.0 0.064707\n", + "3.0 0.034059\n", + "4.0 0.018064\n", + "5.0 0.010798\n", + "6.0 0.007185\n", + "7.0 0.004912\n", + "8.0 0.003369\n", + "9.0 0.002030\n", + "10.0 0.001746\n", + "11.0 0.001461\n", + "12.0 0.001177\n", + "13.0 0.000893\n", + "14.0 0.000934\n", + "15.0 0.000731\n", + "16.0 0.000406\n", + "17.0 0.002720" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "count=data[['person_id','num_visit_pre_cens_ed']].groupby('num_visit_pre_cens_ed').count()\n", + "count['freq']=count['person_id']/count['person_id'].sum()\n", + "del count['person_id']\n", + "count" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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person_idsample_eded_visit_09mar2008ed_visit_30sep2009num_visit_pre_cens_edpred_lambdapred_lambda_sdfreqnump1freqp1pred_num
051000.00.2041390.3876630.6872621.00.1575460.229238
181010.00.2041390.3876630.6872621.00.1575460.229238
5231000.00.2041390.3876630.6872621.00.1575460.229238
6241000.00.2041390.3876630.6872621.00.1575460.229238
8301000.00.2041390.3876630.6872621.00.1575460.229238
....................................
151404597811114.010.5105772.7816570.00093415.00.00073111.739130
199936078611114.010.5105772.7816570.00093415.00.00073111.739130
226266869111114.010.5105772.7816570.00093415.00.00073111.739130
228436929211114.010.5105772.7816570.00093415.00.00073111.739130
231127018911114.010.5105772.7816570.00093415.00.00073111.739130
\n", + "

24567 rows × 11 columns

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pred_lambdapred_num
num_visit_pre_cens_ed
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1.00.9403140.821438
2.01.6764881.579046
3.02.4126622.121573
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14.010.51057711.739130
15.011.2467528.888889
16.011.982926113.900000
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" + ], + "text/plain": [ + " pred_lambda pred_num\n", + "num_visit_pre_cens_ed \n", + "0.0 0.204139 0.229238\n", + "1.0 0.940314 0.821438\n", + "2.0 1.676488 1.579046\n", + "3.0 2.412662 2.121573\n", + "4.0 3.148836 2.988764\n", + "5.0 3.885010 3.992481\n", + "6.0 4.621184 4.785311\n", + "7.0 5.357358 5.487603\n", + "8.0 6.093533 5.421687\n", + "9.0 6.829707 8.600000\n", + "10.0 7.565881 9.209302\n", + "11.0 8.302055 9.666667\n", + "12.0 9.038229 9.862069\n", + "13.0 9.774403 14.636364\n", + "14.0 10.510577 11.739130\n", + "15.0 11.246752 8.888889\n", + "16.0 11.982926 113.900000" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data[['num_visit_pre_cens_ed','pred_lambda','pred_num']].groupby('num_visit_pre_cens_ed').mean()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.10.4 64-bit", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.4" + }, + "vscode": { + "interpreter": { + "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1" + } + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebook_python/Brownian.ipynb b/notebook_python/Brownian.ipynb new file mode 100644 index 0000000..a3f182d --- /dev/null +++ b/notebook_python/Brownian.ipynb @@ -0,0 +1,415 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 布朗运动模拟" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "nprd.seed(19880505)\n", + "\n", + "t=np.linspace(0.0,5.0,5000)\n", + "B1=np.zeros(len(t))\n", + "B2=np.zeros(len(t))\n", + "B3=np.zeros(len(t))\n", + "B4=np.zeros(len(t))\n", + "B5=np.zeros(len(t))\n", + "B6=np.zeros(len(t))\n", + "b1=b2=b3=b4=b5=b6=0\n", + "epsilon=np.sqrt(t[1]-t[0])\n", + "## 为了方便,以下使用循环,更好的写法:\n", + "# increment=nprd.normal(0,epsilon,len(t))\n", + "# B=np.cumsum(increment)\n", + "for tt in range(len(t)):\n", + " B1[tt]=b1\n", + " b1=b1+nprd.normal(0,epsilon)\n", + " B2[tt]=b2\n", + " b2=b2+nprd.normal(0,epsilon)\n", + " B3[tt]=b3\n", + " b3=b3+nprd.normal(0,epsilon)\n", + " B4[tt]=b4\n", + " b4=b4+nprd.normal(0,epsilon)\n", + " B5[tt]=b5\n", + " b5=b5+nprd.normal(0,epsilon)\n", + " B6[tt]=b6\n", + " b6=b6+nprd.normal(0,epsilon)\n", + " \n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig=plt.figure()\n", + "plt.plot(t,B1,label=r'Brownian Motion1',color='blue')\n", + "plt.plot(t,B2,label=r'Brownian Motion2',color='red')\n", + "plt.plot(t,B3,label=r'Brownian Motion3',color='pink')\n", + "plt.plot(t,B4,label=r'Brownian Motion4',color='green')\n", + "plt.plot(t,B5,label=r'Brownian Motion5',color='orange')\n", + "plt.plot(t,B6,label=r'Brownian Motion6',color='yellow')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "fig.savefig(\"browina_motion.eps\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 重对数律" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_3459/528038580.py:20: RuntimeWarning: divide by zero encountered in log\n", + " plt.plot(t,np.sqrt(2*t*np.log(np.log(t))), color='black', linewidth=3)\n", + "/tmp/ipykernel_3459/528038580.py:20: RuntimeWarning: invalid value encountered in log\n", + " plt.plot(t,np.sqrt(2*t*np.log(np.log(t))), color='black', linewidth=3)\n", + "/tmp/ipykernel_3459/528038580.py:20: RuntimeWarning: invalid value encountered in sqrt\n", + " plt.plot(t,np.sqrt(2*t*np.log(np.log(t))), color='black', linewidth=3)\n", + "/tmp/ipykernel_3459/528038580.py:21: RuntimeWarning: divide by zero encountered in log\n", + " plt.plot(t,-np.sqrt(2*t*np.log(np.log(t))), color='black', linewidth=3)\n", + "/tmp/ipykernel_3459/528038580.py:21: RuntimeWarning: invalid value encountered in log\n", + " plt.plot(t,-np.sqrt(2*t*np.log(np.log(t))), color='black', linewidth=3)\n", + "/tmp/ipykernel_3459/528038580.py:21: RuntimeWarning: invalid value encountered in sqrt\n", + " plt.plot(t,-np.sqrt(2*t*np.log(np.log(t))), color='black', linewidth=3)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "nprd.seed(19880505)\n", + "N_path=40\n", + "t=np.linspace(0.0,1000,10000)\n", + "B=[]\n", + "epsilon=np.sqrt(t[1]-t[0])\n", + "for i in range(N_path):\n", + " increment=nprd.normal(0,epsilon,len(t))\n", + " B.append(np.cumsum(increment))\n", + " \n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig=plt.figure()\n", + "for b in B:\n", + " plt.plot(t,b, linewidth=0.5)\n", + "plt.plot(t,np.sqrt(2*t*np.log(np.log(t))), color='black', linewidth=3)\n", + "plt.plot(t,-np.sqrt(2*t*np.log(np.log(t))), color='black', linewidth=3)\n", + "plt.show() ## 画图\n", + "fig.savefig(\"browina_motion_loglog.eps\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# H-自相似" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "nprd.seed(19880505)\n", + "\n", + "N=50000\n", + "t=np.linspace(0.0,5.0,N)\n", + "epsilon=np.sqrt(t[1]-t[0])\n", + "increment=nprd.normal(0,epsilon,len(t))\n", + "B=np.cumsum(increment)\n", + "\n", + "plt.rcParams['figure.figsize'] = (15.0, 5.0)\n", + "fig, axs = plt.subplots(1, 3)\n", + "\n", + "axs[0].plot(t,B)\n", + "axs[0].plot(np.array([1,2]),np.array([-1,-1]),color='red')\n", + "axs[0].plot(np.array([1,2]),np.array([1,1]),color='red')\n", + "axs[0].plot(np.array([1,1]),np.array([-1,1]),color='red')\n", + "axs[0].plot(np.array([2,2]),np.array([-1,1]),color='red')\n", + "subt1=t[int(N*1/5):int(N*2/5)]\n", + "subB1=B[int(N*(1/5)):int(N*2/5)]\n", + "N1=len(subt1)\n", + "axs[1].plot(subt1,subB1)\n", + "axs[1].plot(np.array([1.2,1.4]),np.array([-0.6,-0.6]),color='red')\n", + "axs[1].plot(np.array([1.2,1.4]),np.array([0.4,0.4]),color='red')\n", + "axs[1].plot(np.array([1.2,1.2]),np.array([-0.6,0.4]),color='red')\n", + "axs[1].plot(np.array([1.4,1.4]),np.array([-0.6,0.4]),color='red')\n", + "subt2=subt1[int(N1*1/5):int(N1*2/5)]\n", + "subB2=subB1[int(N1*(1/5)):int(N1*2/5)]\n", + "axs[2].plot(subt2,subB2)\n", + "\n", + "import matplotlib.patches as mpatches\n", + "arrow = mpatches.FancyArrowPatch((2, 0.8), (5.2, 0.8),mutation_scale=30, color='red')\n", + "axs[0].add_patch(arrow)\n", + "arrow = mpatches.FancyArrowPatch((1.4, -0.5), (2.05, -0.5),mutation_scale=30, color='red')\n", + "axs[1].add_patch(arrow)\n", + "\n", + "fig.tight_layout()\n", + "fig.savefig(\"browina_motion_h_similar.eps\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 几何布朗运动模拟" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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QBBGJZEbHpkYzVDGqYDIMjqsf+wLvLNrsWSeHUMZECKVhOPLewsbnc9bsdJyH6P7sWL8WAGBYBXD8RNK4/Q8KPUbjlk12+CazHL1CtZah684QSut4gH9uHkEQRCkgAUcQBEEE8tDHKzHqupeQ0nSs3NZiL7/h2XmR9m9Ja3hpzgZ8/cHpnnUi7PGPZ09CXDhwBncMysNcDFH4BKBG3l2ZqEKnpWGHtI/poDVu2eTYps+QoQ43bcuqFeEHtQVcYWKLu4qYQHbgCjoiQRBEbkjAEQRBEIE88JE5AF6zvRWq5C5EJWxsLtoIjOhbbYsxTeeR2wPILiD1gevaRBFxbY1Zx1Vs/86D9zq2YUxxtASY9dpLjvWGobu2t+7pQnPgDMMRQkkOHEEQ7QEJOIIgCCIQhWWdsUIKheghA2MhumIqs0MoM7qBCYPr7G3CQjWvfXym/Zjyjbo2bmHlv43h+1hGUdXAdQBgaOZ5Dr3gawDkEMoiipg4QigpB44giPJDAo4gCIIIJNv3rTCXK2wfUcQkpjC7iIlucNz17jJ7m7Ax8LaWdPY8NFju0sh93YKQHa0gccQUxdkjzhXIKIqfKFYVyqIdON1ZxIRJYb3UB44giHJBAo4gCIIIRAgwgxfmwIU5aCKEMq4qUhsB14A7arEUGit3aaKEGzoEXMD2DRs3hDb51q3wStFGAMU6cEZIERMScARBlAkScARBEEQgTgcu/5yeMAdOrFMVhrhV/CGZcToxQbu7q05SFcqujagqGbpNBAGXSSVtl83czu3AmfeXojoduELFFtd1RxsEZwgl5cARBFEecgo4xtgDjLHNjLF50rJfMcbWMcZmWf9ODtj3RMbYYsbYUsbYdaW8cIIgCKK8zFnbgIY2M0yRc2fftqjIAs4t5jLW87jKoCgMqsLw0pwNriOY2+xszWBrc8pe6nbqUlruEDyi8yKLLvO5jjUL5sLQdfz7uu9h5awZDtEmcuZqfZply2LQLaL0TAZAKR04w1GFUg6hLKRHHUEQRBSiOHAPAjjRZ/lfOOdTrH8vu1cyxlQAfwdwEoDdAVzIGNu9mIslCIIg2gfD4Dj9zo+QzJgDYINzvLFgU469fI4jDYw1l2uiWQPtmOVgVMQUtAU4cFN++zr2+92bvscFgGsfn5X3tRGdB90l4Kb99zE89eufYcln07B5xTK8evftrhBK8/2vqu/lOZa8XdO2rY516bZWAECiqhqA5JgV6sC5GnlTEROCINqDnAKOc/4+gO0FHHsqgKWc8+Wc8zSAJwCcUcBxCIIgiHbGLZAMznHfh2ZLgd2sKpGfr3T+NKycMxPNO5zLZNfN7eBpUhVKAEjEFGR073kB7/ja7cClI4TgEZ0XufQ/AGxZvQoA0NrYYC7g3BlCKZw1H5Eku3lr5s9BsqXZfp5qNQVcRVUVgFJUoTQCc+BAIZQEQZSJYnLgrmGMzbFCLPv4rB8GYI30fK21zBfG2BWMsc8ZY59v2bKliMsiCIIgisUd/WVwQESHDe5VCQA45+5p9nrOOZ6+6UY8+cufuvaTHTiXgLOrUJo/RQlV8bh0nANtaW94JPV9617oLgGna2ao45w3XwVg3l++RUx8BZzzfkm3tdmPM6kkACBWad7DrMhG3oaugwX1gaNblCCIMlGogPsHgLEApgDYAOA2n238Or4Gfp1xzu/lnO/HOd9vwIABBV4WQRAEUQq81R85zt5nOFSF+YonMQBv2OTMYXtu1vrsNm4BZw3ChQNXEVeQ0ZwDaYNz/N+Ts7znIwHXLRiwy2gAXgHXurMBALB19Up7GZd6xQk3zq/nW1hPOSH8hGuWbSOQ33XL55JDKKFQEROCIMpPQQKOc76Jc65z89vpnzDDJd2sBTBCej4cwHqf7QiCIIhOjsHNXmtDelWib03Cs15LmwVG5Ip8APC3t5dmt5HCHJdtacaLVsESUYEyrigel45zYMbqHZ7z+Qm4dxZtjvpyiE5CwgpldIdQilw1AeccBvc6cH6hj5lUyrUku41hCzjrPi2BA6c4qlBSGwGCIMpPQQKOMTZEenomgHk+m00HsCtjbDRjLAHgAgDPF3I+giAIon1xO3Dn3j0NCzc0QVUYVOYNsNDSZrVKZpVn90MWZ8fc9h4+W2Hmy6mWA6cozGOEcA7f8/kJuM+snLwvVu/Av6etDLwOovMgnDARMimIV1Y5NwwIofRrJ5BqaXE8N6QKpUJUiYmGbAhlIVdvthEILGJSQNsNgiCIKERpI/A4gGkAJjDG1jLGLgfwR8bYXMbYHABHAfg/a9uhjLGXAYBzrgG4BsBrABYCeIpzPr9Mr4MgCIIoIX4D2oUbGqEw5hsgr2dMAdemedcJgtoQxKzkOpUx+9BTR/e1z6kqPgIuZMR91l0f48bn6OemKyDK7rtDIfsNMwN4xu53oL3Mrw+cn0gSbrBAd/SF063zlsiBM5xFTBSFqlASBFF+olShvJBzPoRzHuecD+ec3885v4RzvhfnfBLn/HTO+QZr2/Wc85OlfV/mnI/nnI/lnN9UzhdCEARBlA5vDpyJj5YCAOiWy8F93DKBu0CJIG710VIUhowVZnnI2P4AgJ88PQfyIT9dvs08n48YdF8y5cl1HRZ//L6j+IgQP8KZ44CrD1xwDpwbx3Gt7d0O3Iovphd03e4iJo4PCAk4giDKRDFVKAmCIIhuyoqtLb7LFZdAEyIpSrhYkKASY15VyVa/jMeYtD77eMlmsyR8JsL5mlMhdiDRObBCDme99hI+e+6/9mJxP+lWaC4MwxlCyYPvu0Fjxjmey/l17hw4sW7u268XdPmG4c6BIweOIIjyQwKOIAiC8HD6nR/5LlcVBibFUGp2KFtw5T+Bu8ebQLggqjQQjkuPU1IOU9zKlwsKx5QxyIHr9MhFP5q2ZVsIiZBGzQrNBdwhlLrjf5nzfnEzvnbrnfZzucKl24GTj18IhisHTr4eqkJJEES5IAFHEARBRIYxhgPH9LWfCyEVJZQtV0ijKpl7MenJpkZ3VcHgcEyZoDBQonPiLFJivndaxgqhDCpiIr3Htf36Y/fDjkKiqhr9R+yC2n5mGG6ypcmzny3g0oUJOG4YMAwd3DDApBy4oeMnYuoZ5zheA0EQRKkhAUcQBEFERlWAc/YdjisOHwMgW1kySghlLtElFysReXGBx4riwNH4udPjcK8kMSbcKz1AwPnlwF1514M46ZofAjAnGk62Hj97y6895xBhj55qlxF55pZf4S8XnmE5cNl7VVFVHHbRZQCAWa+9WNCxCYIgckECjiAIgoiMwhgYYxjW2xz4it5uonmyWzPFVTncMlxRyblu8n5+CDH40DeybUh1l0DkhXZnJsqOcMD2PeUr9jLZsbJz4KwQR865o0F3WBVK+xw+5VLFMUSu2rAJEwu5fKyc/YV1PMPZyJsgCKIdIAFHEARBYP76nXhy+uqc2wmRJUIccxUx2WdkH/uxcM2CijvIDlxM8f95EoNycay4tM/6hqRjW4qg7LzE4gnse+qZqKiqtpfJOWN2FUrbgXMWMVnw/tvm8hAB55eD5g6hLBau6442AgRBEO0BCTiCIAgCVzw8Az99em7Oyo2z1jQAyPZuyxjuHDin68F5dlvhmgWdwxFCGcsRQmmdV97H7bj966OVoccgOg7DMIt/yELKr8qkJgqQGNwj1rR0OjT30m+iIEzAiXy7fPC0ESAIgmgHSMARBEEQWNfQBgBIZnJXkwSyDpnoxyYGxgo3sOSzj7MOCudIWGJMiK6WlP85HCGUAQ3nhEgT/eJiUv6R6hqU3/3eskivhWh/DOFcSe/5wg/ftR9nQyhlB84pyDi8os5xDp917jYCMm/e9/foL8A+nk4hlARBtDsk4AiCIAibXKX3q+LmYFWEUIp+bKJZcgVP4/nbbsZyqzGyIQk4IfaaU/5OhyOEMqCIiaXb7NBNOVcuR9oc0UkQBUkUVXG0EXBs4xFw3CPIuGGElupXY7HA4/o5cKvnzY72AiQMCqEkCKIDIAFHEARB2EaIniNx7Pz9RwCQHLiAHLi2xp0ATEGYUIUDJ0IoIzhwAWpMFCoRPeVk0fe/Wes921Mz5c6H7dYqamAumnjfDN0MoWSMee4xQ9ftZXsedbznGMMn7gkAGDphd8+5fUMoC2gpIIQoQRBEe0LfOgRBEISduZar9P4ny7cByAonEcroHlxvWrHMPp43hDIoBy77OKiNgDiGEINxVcE3Dx0deL1BzcOJjkO4tUxVgx04l7PGmOJp2m32YjNw4Fnn44RvX+s5BmMMg8fuikRVlWMfcTw3YtIhX0pVEIUgCCIq9K1DEARB2APpXCGUa3eYuXJxVxVKd3ib6IGlG1IIpSFCKHMXMVEDcuDEMXSpiMnPT806LKOue8mxfVoPDrEjOgZRyl9RVV8hBfhUl2TMc48Zug5wHiqgmKqCGwZaG3di9hsvh+bAFQqFUBIE0d54A8QJgiCIHkfWgYvmWGUduPA2Am0ZHfVVcce2zUl/ASeHUCYCqlAK4Zax2wiED8TTmgFUhG5CtDNrF8wDIEIog3LgXPch895jmy2XN0zAKYoKQ9fx1v3/wJeffIhx+x+Uc598CStiYhiUI0cQROkhB44gCILI5sAZ3OPCTR3V17OdCHHMOnD+eW0tKQ29LAH32YptGHXdS1i4odF3WyEKR/atRmXMf9Brh1DaVSjDK5ekNXLgOhMbli7Gs3/4NQCEFzFxh1DCmwP36f+eMo8TIpAU1RRwmaTpHDfvMEOAixFw7usIFXBatKquBEEQ+UACjiAIgsiGUHLuKWQyvE82h0iILPG/FpADJ2hN66ivNIM9nvp8LQDgvg9X+G4rjllXGUO/2oRj3b2X7AvAFIyjrnsJ1z0zF0C2x1wQKRpAdypeufM2+7FfCOXOzRsBeIvPMMUbQmn7xgEi0NxPgWHotmAT+XfFhFC2NTknIIQT6IcowkIQBFFKSMARBEEQjiImekgenGoNlrPNuf1z4ARp3UBNIlq0vji2whgG1FbglElD7HXH7T7IcT5BULsBQdhrIdofLZ1tIcF8QigfveGHAPwmBJjXlbP2DRNjipUDZxdOse6xYhw4972uJhKebY7++pUAgNadhRVGIQiCCIMEHEEQBGGjG9yTByc/61VthkPGXK0Bghw4uYhJLoQDpzBAURj+ftE+9jrGGGIKs9sICKoT4flFUXP6iPahuldv+7GiqoglnAmKohKkOweOKWYIpZ/wCs+BU2Doui26DJ9j7HPS6Xm9BrerNvnYkzzbNG7dAgB4+W9/yuvYBEEQUSABRxAEQdgFRHSDe1wrzjme/c7BiCkMD319KgDJgdM57vtgOX705BeeY3JuHqvCJeAUbrohd128Dx65/IDscuuYQXlRqsI8Dpz72G7c2xMdy8RDj7AfK6qK6vpevtv55cAZhuFw20buOdk8TlgVSkUF13VbdBma5gnbrKipyes1uPPaYhXeKjm6ZjqN29evzevYBEEQUSABRxAEQdhpRJwDwuQa2qvSXr/3yD5YevPJGNG3GkC2eIhmcPzupYXmji6EdqqIZ39qBqS24OqV92JY2zqcvNcQHLprf3tdNoTS/xpVhUF39XULEnsCCqHsXMjhh4qi5GzkbcOEA5d1XBOVZm5mqAOnKjAMA4aVq7lt7eqiWwjoLgcunvAKOLEsk0oVdS6CIAg/SMARBEEQdg6cLhUxiVvulp8EEg7cjFU7zP19BNzY618GAFRIFSVHtJmOxNhWbyGTbAhldAcuFwGRnUQHIYfahlVv9OsDx61iJCdfY+bJ2XltYVUoFRWGYYDrWdfMK/jCJwHcGHpuB27KCacCAPY6+ri8jk0QBBEFEnAEQRCE7WTJIZSiVYBfGlnMGgTfb1WUZAhWSnGp0AgX1S59Bs0KCxdwMYXlndOmkYLrVMjih+Uh4BjLhlAOnTDRcaycRUx0PbDNhTh2Phhabgeutm8/AEBVfe+8jk0QBBEFEnAEQRCELac4zxYxSYRUeFRdcY6Kr09nIpf612EO2lXuHVCLsEx5PP3a9w/Hf759kHVOJdCBq6vwr3RJRUw6F7KAE/3bRu41xbOdp40AyxYxETls9rFytBHQNQ26JLrcx97nZLOIiVxgJQzdJeBiPlUoGWNQ1BgMLeNZRxAEUSwk4AiCIAhbwckOXE2Fai9zE3eJO8a9TpdYJoqTTNk5G7V6CwBA9dm+Mu51ZCYMrsP+ViPxmE8OXC50MuA6FVxywkQI5aEXXOKzndeBs6tQChfXykXL5cA1bduCratXZo/tuvcqqmuw2yFHIFFVhSik21qd1xZwfjUWg65TH0KCIEpPtOY8BEEQRLfGrw9c72rTWUhmvIPQKA5cjGvIsARiCkOt1oTDtn9sr9ujeaFne9ESIKX5q66wHLggWUdFTDoXfg7ckHETHNs0bdvqrUIphVCK/m/ZHLiwNgLeSQF3iwIAWP/lIjRu2YTm7dvs8Mcgki3Noevtc6uqJ9ySIAiiFJADRxAEQdh5QAbPOnAiLDGpeQVcXHUKOL8iJqNaVwEQDlzuPKMaS8D5CUbADLF094ETeKoWWpCA61x89tx/7cdKQIjuvd+5zFO9sXnHdrMFgBRCqUfIgfPLs3OLQwBo3LIJALBu8YIcrwBIRRRwjLHA+5IgCKIYSMARBEEQdhqRbmSrUNZYAq4tnduBYz4e2Ilb3jS3jVgkoiphni/QgWMMr8zbGOlYAp0G0J0GT15bSBGTdGurZ9n8995C8/Zt2ckGK4QyVyNvz3WEFLaJUtAk2dJiPw4Nu1QUBHvDBEEQhUMCjiAIgpBCKDkMy7Ua0dccnO4/uq9ne3cOnOLjaghiCvNd7x7Q2yGUAQ6cqrBAcffD4yf4LjfIges0uJ2vMOdMy6QD1wmRtX7xIvN5WBuBkEI8AQfPuUm6NSvg1Li3gEn2UMw3XJMgCKJYSMARBEEQzhBKS1gN71ON9358JH7sI46iOHACRWFQfNoMuKv5VVkCLh1QecR9TplvHDrad3m+feOI8uF1vvIr35/dzdxv0/Il5tOQ+yJM3PkfOvc1aZlolSXNEEqqokMQROkhAUcQBEFAsUMos3ljCmPYpV8NYj4uRiwPARfowLl6c1XHhQPnP+iNufLu7rxo78BzCvLJgUtmdJx39zTMW7cz8j5EdErlRrlDJkNDKEPCNP0PnlvA6XkIOIqgJAiiHJCAIwiCICDcEDOE0lwS5ni5nYqwEEolQMAZLqetWuTABTpwzp+sUycNDTynfY48cuBmrm7AZyu349cvzMeny7fhllcWRd6XyI3swO132lkYNGas/fyMH98Y+Tieey+siAnLrhuzz/45j/38n27KuU1YeKfz3OTAEQRRHkjAEQRBEBBWgSEVMcknfSinA+cTQmm4HDg7hDIgz012/SYN7xXpuvIJoZT16vn3foK731sWeV8iN4Yk4I746jegxuL283H7HRDpGHsdc4JDlAFALF4Rad+qumj3TC4cDlzYBAFVoSQIokyQgCMIgiDssEVdaiOgRKweCQBKyEBVYQEhlK4mx6JxeBCyIxglVwnIr4jJhp1Jcx9plzXbWzH+569QWGUJCKv+GJU+g4d6ct7CKkHKt8myGZ8WfX7AFHDinOEVLRUScARBlAUScARBEITd683g2bDDsBBKALhcKhzCfBw2QVAOnKG7c+Bioedz592Fce3R4wAAbRkdmYCQTDc/+e8cAMBcSax9sGQr0pqBf320MvK5CX/cjmshKGoMDNEFnKzg3PdboWiZNCpqagF4C/E4z41wh44gCKJASMARBEEQyOjmQPODL7fg3LunAcjdv+3GU3e3H/uFUIolap4hlEE4HLjQLYHz9h8BAPjZM3Nx2t8+zLG1ybn7DQcAHDtxYPY8TJw70iGIMCwxc8CZ5xd8iJo+fZyxrgDilZWR9lVj4RMEUXjjn3dixczPkag0RWOYgCMHjiCIckE/SQRBEITNf2astR8reTheTBqorq40hZBh/cSoEYuYJGLhP0mygLv9gimRt120sSl0W8HQ3uagvF9NNqdKuHd+lTiJ/BA5cHX9+hV8jLq+/RGTcucAIFFZHbJH9j4ohYCb8+arAIBta1cDAMYfeEjwmRXKgSMIojzQLxJBEAThS5SQxTd/cDgAOBw2wyoyocKAamgOB25l1cjsdgEhbQeP9R/gy9ezS7+a0Otyu4ebGpOh2wNZsSbvKgqq5BO+Sfgj8sXCyv7nPAY3wBQFEw46zF4W5sDpWrbgiBKLY5dJe2PIOG9fw7r+A/K+lqvufQQnfuf7gesZWEny/giCINyQgCMIgiB8ieLAjRtYh2e/c7CjiIkhKSAFhsOBm9bnALwy8HgA3j5wADDzxuPwwGX+5d6Fq3baZP/2AY998wDPtoIDbn4r52vRrDBS2TQRTcUf/XQ12tKlyaHqqZRCwA0auysAYJdJ2R6AYc5asqnRfhyvqMA5N/wWF910m2e7E779vbyvpbpXb0clTTdhDcYJgiCKgQQcQRBED2fp5mbf5bly4ARxVXE4cFz6aVG57hBwBlNgiJ5zPg5cn5oEKuP+uXAxa+CfCAhnPHhcf1QnVHzvmF1zFmDxI2MJDLn1wB9fXQzAbAj+x9eoL1wxiBBKRcmzubZEPGGGt4oqpNW9eodun2zO3ttqPFhsqWpWBEYJezz661fm3AZMIQeOIIiyUHxAOEEQBNGlOe+eab7Lo4qgyrgKFtCwWOU6mJbGSVveAAAYYHaIZb5VAV+auwFAeDjjgt+cCABoTGYCtwlCOHBBrQe2NUdr4Ez4IxzXYhw4QdRj9Bo02H4c1vBb7lHHuQHGwkVmXf+BoesBUYSScuAIgig95MARBEH0cFrT/pX0oraBq0qoUKQqlFwuHMENNK1eaj83mGqvL7SsvB5hUFxIzpqmex24fM9LBCMqNkYtJlI/wBRJ+556ZsHnPOT8SzBm36kAgF6DhgRuJztl7uI6figRitowRaE2AkSH896XW/CDp2Z19GUQJYYcOIIgiB6Ou6+WIGr0V3VcdVSZlIesKtehSoNdgymSA5dfeNllB4/Cgx+vjDQmzqcJuSBjCTcj4AT5NAUnvOgZ0xUNyxuT2fOo47DLXlMwdPxE7Fi/FtvWrbHXRXXgYvE4zvjRDfjk6Sew90mnB24nTyaYTmH4NUYJA2WMqlASHc+lD3wGAPjzeVM69kKIkkICjiAIoocTZFZFdZzqKmMOARfnWUfPLGKSHewaUOz2AjzPEMpdB9VG3raQHLhcDtzOtvzDMoksoiJkWC6ajKKoGDp+IgDgzJ/+0rGO5SHQFUXFwedeHLqNHM4bJW9NUSPk8TEGHhBaTBDtjWHwvFrDEJ0bCqEkCILo4QQNhvWIjlNMVbD/Lr3s56PaVmePzTkYzw6Ov3/8BPzwhN0A5B9CGbecPO7TNNxN1AIsMiIHLqP5D7q/3BStnxzhT74OXKjLVsD7G4Z8L0YKoYzswBV1WQRRMjJUUKdbkVPAMcYeYIxtZozNk5bdyhhbxBibwxh7ljHWO2DflYyxuYyxWYyxz0t43QRBEESJCArziirgAKA6nv05WVQzHtN77QMAYOCA1Ivr0kPH4sBxZs+tfIuY2GGRUUIoC6pCaR741fkbfddvpSImRaFlwh24o79+JaaecY79PMxlE+sMzT9/M18cOXARJhaihHAyppADR3QoT03Phh2LCSqiexDFgXsQwImuZW8A2JNzPgnAlwB+FrL/UZzzKZzz/Qq7RIIgCKKcBIVK7tKvOvIx5HDI9ZWDsbFyEABLwOlSSKWq2oPffB04MZwv1zBk0YbG3BsRBWPo4UVM9j7xNBx20WX28zAB17RtKwAg2eLfAiP/aytHCCWoiAnRofzk6Tn2YxJw3YucAo5z/j6A7a5lr3NuJzl8AmB4Ga6NIAiCaAeCjLZB9ZXRjyGJMY3F7EqTDBwwnAJOhJ/lW8TENuAKHBTn2m9JQD88mVHXvYTpK7fn3I7wIkRSJPGDcJer1P3V6vsPsB8/c8uvcm4f5TWYDhwNmonOQVIrrOov0TkpRQ7cNwC8ErCOA3idMTaDMXZF2EEYY1cwxj5njH2+ZcuWElwWQRAEEYVSDDJlB0NT4lkBxzm4w4GL2YPffIuY5BFB6Us+IaFhPD9rfUmO09MQoitqBcn2FHBDx0/E3iedBgDYvGJZzu0jhVAqjBp5E52GBz5c0dGXQJSQoqpQMsZuAKABeDRgk0M45+sZYwMBvMEYW2Q5eh445/cCuBcA9ttvP5qyIgiCaCfc+m2PofXYd5c+eR1DdtMyLAbOJAdOEnCMMVvA5R9CyXyvNyo65yUpvUz94ApDNMuOUgAECA+hLIcwGjhqrGfZipmfI9Xagt0OOcKxPIoDpyhq3nmeBFEuUgHFmYiuScG/ZYyxSwGcCuAYHjB9yzlfb/2/mTH2LICpAHwFHEEQBNExuMvmP3nlQaitiP7zwDmHoWtQYzHomobNFQMwIG3mKI1tWQ6um2JwygmnAgCYHULZNR04Lc/QT8JEOK6RHTgW4sCVQUT7iTIRTlmIgBOfB4LoCF6Y7YwUOGB03w66EqIcFBRCyRg7EcBPAZzOOW8N2KaGMVYnHgM4HsA8v20JgiCIzkMszwqOf7v0XGxZtQJj9pmK6cfcgKRahZiV97Z34xzAGsQe/tWvA8gOfvMVcGMHmH3gDhrTL6/9BLkEXF1lNNFKxQAKw3bgIufAhThwZajuGFVYRt1Wjcft3ncE0Z5wzvHdx2c6llHkQPciShuBxwFMAzCBMbaWMXY5gDsB1MEMi5zFGLvb2nYoY+xla9dBAD5kjM0G8BmAlzjnr5blVRAEQRAlI58m2IauI5NKAgB0Xcv2apPC3+a89jwAIGb1/1LUwqpQ7jmsFz69/hhcOHVEXvsJcgk4I6JD17cmUdD5exrvP/ov3Hb+qZj79usAsu+3EjkHLljolSOE0n1dm6RcuNbGnY51Ye6gQI3H7d53BNGeNLZ5nd9SRSAQnYOc042c8wt9Ft8fsO16ACdbj5cDmFzU1REEQRBlpTXt/aHPpwm2PLDV0mkkLHHGpNneNmsb4VqIHKgNSxZjr6OOz+t686mM6cYdKuom6gz1roNqC76GnsT0558GALx+zx3Y6+jj8y5iEtRuAMiGUA4YNabIq8zivq6mrdmCajs3b0R1fS/3LqGoMRJwRMfQ7PO9nqHIgW5FKapQEgRBEF2UA25+y7MsnybYWjrteLzvKDPfjYVkqokQurlvvRb5PKUgzGHb0pRCMhPN1aGBUH5kQ2bzC6EMFXCWGJxw4KFFXp18UNf7GtpIPPfh1FgMuk45cET7o/t8R+mSa92c0vDIJ6uozUUXhgQcQRBED6YpmR1gnrX3MKy85ZS89jfkASrnuOzgUQDCBRyLOIAvNWEO3O9fWRj5OBSKlB+KagoxbuRXxEQJEXBGnm5eFPSQnExD0/MO26QQSqKj8IsmkCeeLv7nJ/j5/+Zh2rJt7XlZRAkpRUVlgiAIohtw8Lj+ee8jFyLh4Hb+XJhBEbWMfKkJE17xPIRArlBMwokQbrYDF/H9D3Pg9j/9bDRsXI9Jx55Y/AVahPUl1NJpWzQCQG3f3J8VCqEkOgrdZ7JB/v6bvdYMa2/LUJuLrgoJOIIgCAJnTBmKc/Ydnvd+7kqSIn+OhYTmRC1iUWrCBFxVIlxUVMVVe7DjNzgighHCLV8HTlWDhyjV9b1wxo9+XvzFSYSFkxlG1oE79MJLQ8WlgKpQEh2FX6eTjLWwOSX35WyvKyJKDYVQEgRBEAUXB/EIOIVhdP8afPWA4EqRajxe0LmKRThnfgP16hwC7rz9suKWcuDyQ5T8z7YRKD6EshyMP+AQ+3GypdmxztC1vKtoUh84oqPQQhy4f76/3F7GQmMliM4MCTiCIAgCa3f4tvTMieEq0sAYwzs/OhLnnnEMACDZe5hnH0VV0X/kKIzZZ/+CzpkvJ+wxCABgcI6Zq3dg9M9exqjrXnJsUxPSuLx/bQUqJYFHOXCFka1CGS2Esr0FXLwyO4nx929c4HAnDD3rwEUtwpJOJqFnMti6ZhX+e9ONdrsNgig3fkECYgIrI9tzpN+6LCTgCIIgiMgVGD37uZwKQXV9L9T1H4B9J08EAOxz0umO9WosVvYKaBUx8ydul341AMwG3M/NWu+7be9q0xW8+6v7eNa9/aMjoEijecqBKwzbwYrowEUJUywncs6boeu22xw1BHTDl4sAAA/96GqsmjMT6xbOL/1FEoQPaZ8YSs2KHKBvr+4BCTiCIAgCsTxaB8i897BvW1AAplNhGDqYoiBeWeVYxxSlLM2YZYb3Mc8phJzBOR78eKW9XrQVmLt2Jx74cIW1T7W9/gfHjcdj3zoA9ZVxR4V5vWk72poay3rt3YHRU/YFANtpFblwUZpgA9nqlR2FXIDE0HW89+8HAEQvwjL1K+c6nieqqwO2JIjS8qfXFnuWidxd+buMDLiuCwk4giCIHsrijU3243hEV8TNmH2nZp+4HDVFUc3QM87BXAKRKYrD4SgH4nKEgHM7Z+L5+fdOw7ItLeZ1SZd57TG74uCxZrVBLs1bK0/+Dnd98yLqoZQDEQK5/Ivp+OSZJ8ENA4wpYBErJ3S0A9e4ZbP92NB1zH/vTQDRHbhEpTOvNJaoKN3FEUQI05Zn2wP837HjAQAvzt0AAOhfm+iQayJKCwk4giCIHsoHS7bYj/Np3i1T07uP/dgtaBRVNXPkOPe4Lko7OHCGdT0VMdMxceeuifVpLXsdw3o7nUIbH6226MN387qeLatW4KnfXI9MOpXXfl0V+f396Ml/wzD0yOGTQMcIuMFjd7Uff/DYg/ZjuVhP1Bw4t4NIgp/oCITzttyapBrSK/sdZ9A92WUhAUcQBNFDkcMmDxzTt6BjyIP0VEuLY52iKFj62Sf2Y5n2CKEUeq0ibp7bLeCEAyeLV0Vh+PtF++CqI8c6D+ajb5OtLd6FIbz9r3uwZv4cbFz6ZV77dVXcDis3jMgFTICOCaE88OwLfJfLxXoiNyJ3idVS3e8vzdmAY257F5ubqCgK4c8xuw20H7sjD+Qm31RRt+tCAo4gCKKHEo9lfwIu2H9kQceQB+n7n3G2Y11bU6NdQt496FXaI4TSss0SqgihdJ5PNzg2NSYdDpzKGE6ZNAQ/PXE3x7bfOXIczttvOCrj2dcRixcYitRDZr3dLSY+f+GZSA5cr4Fm1dBYov1DvYLEmcOBiyzgXA5cie73qx/7Asu2tOB7j88qyfGI7sdew3vZjz2RB9JzqqjbdaFG3gRBED2Qpz5fg/UNbfZztcAQSjEo/f6jz0KNOfu7Ne/Ybj92D4yZosLQy+sgiPFyQhQxcY2fdYPj0gc+cyxTAvKzelXF8cdzJuPdxVLYacRQOpseVjHAX7Dk/iOcfcNvsXbBPEd4bnshh/rWDxho58HJAo5FDqF0bicmM0pFU4qahBP+aJKzFpT767eO6DqQgCMIguhhcM7xk//OsZ/ffsGUwo9l+DtsgDkYFoNWd/5PRXUNmrZu8exTSsQ545IDd8i4fvhoqZngLxw4mVzmypErnpW2LSyIpYcYcB4HDgC0dDrnfn0GD0WfwUPLcUk5kQusZJLZe+Pdh++zH0d93z3NwEvsOJfZwCa6KIs3NuHOd5baz8McOM2n3QDRNaAQSoIgiB7Ai3/9AxZP+wCA9wd97xGFOx1iUOpXGl4Ol2vcvMmxrrKmFm3NTe5dSop4lXHVHJQbnKM6kZ23fOzT1djR6nQx1BwVEgc1rbIf59tomvUwC87PgXM3fu9syPdxJuVfbGZtxH5uHgexxG4HFaAg/Ljj7SWO557QcU4OXHeABBxBEEQPYPG0D/DiX/8AwJu4HrGquy9hpeHDQs16Dx6CtsadeOb3vyz85DkQA9yY5ZhoOnfMPv/lTW8xkXxCSaMWswDMUvprFsy1nvWMQZNo3N2VkNtdaEVWCx04aozjeakdONJvhB8vzdngeC5PHHHOHaKNcuC6LiTgCIIgehhpV9hMoflvAMCtRt1+hDU8rqyrAwCsmDUDa+bPCdyuGI6daBbD6FVt5ubpBs854xzWo6wYQfLsH35d8L5dEUPXu2S1TUPL7RAefN7FBR07nWwraSuBxZvK62ATXZ/LDh6FHx4/3n6uGZxCKLsJJOAIgiC6OXI/KwDIuH60gwp3RMGvSbcgTAzJTY3feuDugs8fxq9O3wOfXn8M+tWY1QyTml5U2Fkm6XRkeMTZ63Rba8Hn7Kp8/J9HO/oSCkJ3hXj6FaqprKkt6NjP3fpbzHr9pbz2MQyO4//yHv78+uKCzkn0bH51+h7oXZ2t5qrp3OG6UQhl14UEHEEQRDfns+f+63juEXBF/BIYhhHowIVV3WvettV+rMbjgdsVQ1xVMKi+EvVV5vEb2zRHdbZ8yaScBU+iVhVMJ3tev65Ny5fm3qgTYmhOl9WvF13YxEQuvpz2YV7bz1zTgC83NeOOt/3/nu7PMkGE0ZTMOCaxivk+JDoWEnAEQRA9jMY2p8uQq3BHGNwwAqvyyQ4Vd+V9lTKULBe9LAG3sy1TVM5HJtnmeB71NZS6fHxXQMvkrjbZGXE7cMXmwbnJ917IFd7c2EatBIjo7GjNOFy32WsbOu5ifNANjm3Npf3MdVdIwBEEQfQw1mx3hvQVFUIZ6sBlBwr7nHiaY93eJ53m3rxsxFUF1QkVjW0ZRwW2fNi0fCn+e9MvnAsjFqXQM05REDX0sivjV5W0KxAlBy4fzrruV87j51nIRFRQDaKBBByRB6/P3+iYxHrRVfCko/njq4uw7+/eRGOS7utcdM1vWIIgCKJg3GWllSKKmJghlP7FSoTbcPHNf0H/kaMc6+KJCozZZ39rw4JPH5n6yjh2tmUKzvl4+W9/QuMWZyuEqA6cnnEORrpidcZ8KSbMsCPJ9Z4OHrtrXscbvfd+OPv632QX5Hn/JdTwYRqFwBFROHff4QCA2974Ere+1jnzKTfuTOKe95cDADY39ryw83whAUcQBNHDcIuYIvQbuKEHNza2BsN+hSAAoLfVrLmytrCiEPlQEVeQ1g3ohlFQ1U3ZZVw64RQAeQg4zSng/PqjdUXampvw3iMPQPdxrfJpsdCZmHDQYaHrCzFwR03ex36crwOXSwhTGXhCpjnl7yCftNfgdr6S/Dn3no/tx03Jzt0vsjPQNb9hCYIgiIJxz9oXMwSMEkKpBjS8PuyiywAAQydMLOIKoqEqDJrBoRu5XQ0/ZJGagSlIDT2ak+YWcFH36+x8+PhD+PyFZ/DlJ97CHF3VgYslEo7nU0441bVFcYKpece2vLZ3TxIYLsFGAo6QWbcjm6f7p3Mn24/DJh5SWuf4PlqzPXvtdF/nhgQcQRBED8Ndua4qHtyvLRfhVSjDHbhYPA6mKEXnhHHO8fF/HkXjls2B26iMwTA4dMNAIpb/T58cJpph5uPX77kj536v/uOveOyGHzqvt5s4cMJ5W7twnmddV3Xg3MQrKx3PC71Xq3v1BuANp82F+3TuHM5CczqJ7okcXHCOFTYJhAu41lTnEHAy1N4gN93jG5YgCILwxS+8zf3jGC/AkRKEVqG0BZy/AweYxS6KrdK4YubnmPbfx/HCX28JOQ+wrqENmsE9Au7rh4zKeQ5F+htpiC5457/7pmdZd8mBEy7bnDdf9a7rwgJu6hnn2I/jFRWOdYXeq7tOPQgAoKXyq7Dn7lvodib0bjIZQJSGIOPbTw79+vQ9AJRnEuD1+Rtx2B/fzqvNhSw+W9MUQpmLrvsNSxAEQeTkwR9c5Xhu6Do06Uf1pjP3LOr4ZiPvHDlwsWDBwxRWdEuBZ//wawD+YlXw5aZmzFm7Exsakp4QyihtFOTXmGHBgjQK+eZBdVb6DRsRuK6rVqEEsqG9ABCvcDpwBSXBARg0xix+Ullfn9d+soD7+ztLPaenNnCETND9UFPh/Q4WucDusNxScONz87Bmexu25tESQM5N/va/vyj5NXU3uu43LEEQBJGThk3OMtGGYTgcuPGD6oo6PjeMnPlOaiy4UbeeyWDBe28Vfn5pRKsEVMOUacvoqIg7f/pOmzw0r3OmebSfziCnjXeTHDgtJBzQfU8ccv4l5b6csuDO3yxUfO951HEAnA3soyALtltfW2y7JUfvNhCAt6Is0bMJcrwOGtPPsyxmCaZyhCvGrAmvfKqkMmS/M9I0M5ETEnAEQRA9CG7ojh/VYipQAuFtBAQV1TWh61sadiCTTIY6aIHnl8RQmNMnIztwcZVh8ojeOffZsCRbentNU7TrzCT9Z5+7iwMnhxO+++/7HWKauW4skfcXc4UkdnYYUzByz0n280Lfu0KLurhDKMVz0R+um9xKRIkQAu6qI8c6ljPGUF/pnIwQ7WPKUTBELeDYJNrygwQcQRBED8LQDWSkUV+x1QK/nPYBdqxf67tu4GhzEBFUhVLmjkvPsUMh80F2uaI4cABQIeXAiQFG/9pE0OYeMizrKKbbWgO3CypW0l2qUMqvb8aLz8LQs8LWHULJOcdXb7kdl9/+z3a7vmLY86jjAZhC9Nwbb7aXl8I9zSdk2D3+FZpZ5K1+/cHP8Ninq4u+JqJ7INy0Q8b2D93u+N0H2aHj7kmCUiDcvYxuQNMNrN7Wim88OB3TluVXhZUIhgQcQRBED0Dk4HDDcDhwUfK/CuW8X9yc14B91ZyZeZ/DkEpgB1W7dFMhOXW16UZ88fJzeOdHR2L6DcdG2r9NrbIfL/lsWvC16f5OXXepQul+HfJ74Z4Y4Jxj0OixqO3Tt12urVjG7Gs2mR88drxjuRJhMiIX6xbNj7ytp4iJ9Vy4yBmd4/pn5xZ9TUT3IKOZn0nh0AYRUxlianlCKOesbcDyrS0AgJa0jh//dw4Ov/UdvL1oM656dEbgfm6HkAiHBBxBEEQ3Zsi4CQCA3Q8/GoDpWMk/2EoZBVxFdQ16Dx5StuMDTpEUVcDJVSjP2vAc3nnon6jgGQyoixbep7HsecKqLerdXcC5xYUUArvks4/dW7fDFZWOcfsdiO8++BQGjRnnWB6LR3dqA8njT+HpA2eHUNLwjfCSsb7bYz73h3wnxRTF/u4vdRGT0+/8yH78nUdm4NmZ6+znYROGew3vVdLr6O7QNwBBEEQ3pqq+HgNHjbVL/ZsOXFZAdOFq7wCcJeyjhGoCTgFXw5MA8isuyKVk+7AQVCOgQW53aSPgzgeTG5a7w0SL7fXX3jDGkKiqtp+PP+AQAMBuhx5R/LEjTjQA3hBKIeDqq8itILwIB85daddNTGF2mGM5ewmu35l0PFdCkq4zWvY6jtt9UNmuqbtA3wAEQRDdGG412hbuVHs6cO3B+iWL7MdRc4vkwU2MAQbyFFUsooDr7g6cO4RSEm2Jqiqk29qw/+lnY/rzTxfd66+jOe0HP0OqtRWJqqrcG+dAycM9c7sj4k8e1S0mehaiiEk8lqMysMJsMZVPpchiqYwH3/tyEZN8+sf1VLr43CtBEAQRhmEYUFTFDvXjhuH4cSxGwHW2YhyVtdFaIsgOnBBuRgEVMAEEd85F8N+ns/3dCsUt4Fp3NgAAUq0tSLe1Ydhue6CiptZ3265IRXV10UV/gPx65LkduHUNbQCAXlXBrTmInosdQpkjtCKmKmUtYhJE3+rgEGT5d6mhNbhFCWFCAo4gCKIbww0dTFEdAs5RxKSIX4FkSzMA4KjLrizqGoshUZl1RPoMjtbPTRZwInayHGGNaxbM813ebdoIuF7Hytlm8905b70GwCzWEYubQkMP6RnX08hHzG5qdIagfe8Js9CPW0j++fXFIIiwEErZzY0pDKoqKkW2n4ALmwBJa9nPxaw1De1wNV0bEnAEQRDdGMMwoCiKnQPnbuQNFO4otDU2AjDz7Aqlz5BhBe8LAMN228N+HDVMT24jIAjKVxPEK/1D5zIh+711/12+y7tLI2+3EO1tCWg5F1E0cZfz43oq59zwOwD5ObD/99Qsx/MNVk6RwhiuOHyMvfyOt5cWf4FEl0e4WDGfKpRyrltMZahJmJ/TtnRpvo8+WroVX6zeEbpNmFTM6AZOnxxtEo4gAUcQBNGt4SKE0sqB+9f3vw2jucFerxXhBmlps1F1vKKy4GPITZILwZCEQeQcOD8Bl8OBc4uuVVUjAAAsln9VQln4tDU1dllx46mQaP0NZQFX3bs3AKCytnCR310QuW/5uL1ikC0QfQtVBRhQS3lwhJOmpBkKXudTkl/+qo8pDDUV5m/CO4s3l+TcF9/3Kc66y1191snsNQ2BgjGjc6qumgf0lyIIgujGGLoZQlklcpG4gYqV2X5rcthKIccGADWPqnpuwsrwR0GTQvOiVjqcubrBsyyXA+cedH/SZ6p5zoCqamFikkvHuuubF+H5224O3LYzw11/EyFyhesGALtOPRgnfuf/cODZF7TrtXVGxCTKU7/+GTYtj+aYff2QUb7Lu3rxIaI87GhNI6Yw1FZ4BZzswKmKYhfCefDjle11eQCA5VubfZendQOJmIJrj9m1Xa+nq0ICjiAIohsjqlDW9R9oL9MNudpX4fkPos+ZohZe0NivoEPDpo1YPnN6tGtwuFfRXksy4xVrYa4I59xbFt8KPeUBAjgsTM4derj8i2ivtbMRVoVSwBjDHkccY+fC9WQUJTvR8fF/H4u0T9DnU2HMUbWPIAAgpRmojKu+uWa6NMGV0Q0MrKvE0F6VOGrCQM+25aQ56V8wKqMbSKgMYk6s1P3puhsk4AiCIDqY52evx7bmVFmOLXLgYonsALolpaGuIoZvHDIaU0b0LvzYlmulxIpw4HwGGvdf+008e8uvI16DBsYUqLFY5OIQfiXYw6pQuo/7tYN2gWEJz6AQVL/jHfvN75jrLKHT1fvBuV3GbevWYO47r+O1u28HAOwyae+OuKxOi1wlNWolyrRmoDqh4s6LnH/L1rRWstwlovugGxxqSK81wZrtrQDM78JiwugLIWhSIqMZiHdQdcyuCAk4giCIDmTVthZc+/hMXPPYzNwbFwC3QijVeDZXa+2OVjSlNPzitN0j/dgHYZTCgQsJoYwicLRMBmosBsaUyDlwvzxt97zOJTtLU044Bdtb0rYDpwcIP3n52Tf8Fqf94GeYfNzJiFdU2oIwaN+uglvYfv7CM3j97jvs52f8+OftfUmdmto+fezHUdsRpDQdVXEVp04aioHSxIOqKJhcxOQL0T3J6IbdoDsMEYKrKqxd+8AB/hEQgJUDF1Ps/nTlbDDeHSABRxAE0YH86vn5AIBpy7eV5fi2AycJOKVETZXLnQOXSSYD1wk+f+EZaJk0tEwa059/OtI5h/b2VpQMy4ET4u7wr34Dx3zjKmxvSSPDTNGaSflf487NG+3Hu+w5GeMPOAQAoKhq8b3nOgmGYTjuKzdh63oiiapq+3F0AWfYVVNlx40BOG73QfjL+ZPtZVEnMIjuS1QHTtx+MVVp96bZT0xf7VnWmMwgrZsOnBCXdDuHk1PAMcYeYIxtZozNk5b1ZYy9wRhbYv3fJ2DfExljixljSxlj15XywgmCILoDa3a0le3YTdu3Ytva1WCMQZVCKDVWuGMmY+fAxYrJgXMONlbM/Nx+nGptLfi4YYgeSYOTWZEV6sCJUFErh6klpSGlmm5IqqXFd5+nb/6F/VgWqUxRYOjdx4Grqu8VuL4UTa+7K3kJuHjwBIlcpZJShgjN4JEcOEFcZa62MuXnzYXeqpffe9yMQNnanLJz4HS6oUOJ4sA9COBE17LrALzFOd8VwFvWcweMMRXA3wGcBGB3ABcyxrxxKwRBED2Y8/YbDgA4cY/BJT/2m//8OwBg3ZcLEYuVvoiEcJDUEgq4RR+9Zz9Ot5VOwMn9hWKqgquOHItzNzxrLwsvOmIJOEv47T+qL9LMdJfSSX8B3tbU6LtcUVW7emNXbR8g4IaBWIJctoLIUX118cYmXPv4TLSlNduBkz8qJ+81BABw9G7ZAhTtnctEdD50g9sNusOwHThFgdYJiuF8ucmsTJnM6LaDSDlw4eQUcJzz9wFsdy0+A8BD1uOHAHzFZ9epAJZyzpdzztMAnrD2IwiCICxE35ve1aUXWHauVTrtcIFUXpriB0K8xCsL7wPHFKe7oEhCM4qA6zNkKCYcfHjO7W6/YIrj+U9P3M3xPFTA6ULAmUL1pyfthq8dPMpa5z/4CWpQrqhqtoiJ5MB1xfA3UeGUyJ9cDtz3npiJ52evx5sLN9sCTpGclaqE+bmJqQpOmWSKOXIsCNOBy/2ZZFYOb1xlRVUiLgfis0HzEeEU+s07iHO+AQCs//1qkA4DsEZ6vtZaRhAEQViUM4E8VmGG+blD9WI8WuheS8MONG3bGrg+0yYEnDenLCrMFe6zeNoH9uN0hBDKTDodyQV65e9/xpSdswPXhws4UazFHDTHVQVTRvSGARYYejl0/ETf5Yoas88lvy9RK2h2JjjnFCZZILn+bvL6Viv3TVTn+8mJExzb7m0VM2nvUDii86Eb0YqYCGKKUhbhf+zEQQXtpzAGYSBSEZNwyjl15ncHBb4bjLErGGOfM8Y+37JlSxkviyAIovOQsQbu5fitiif8BZwasYjJ3Vdegnu/c1ng+kzKbH0QryjCgXMNZDNSSGKqLXd+oJZOI5aowKRjTkR1r96B2y384B0ctv3jwPWr5szEusULcdv5p2LTimWOdcJlU6RiLWnNAAfDzhb/9g9C9LlRVCUr4KQm5HrA9p0ZUSCHyJ+WHe7AJpO2tI5db3gZCzdkQ3APGdcfQPazMsxVhMcOOSMB1+PR9GhFTMQIXVWZ/RtUSg4c0zev7ROWy6wyRiGUESn0m3cTY2wIAFj/ezMSTcdthPR8OID1QQfknN/LOd+Pc77fgAEDCrwsgiCIrkU5ezkJB84tJhSUtgqlyA0rhLAQvFSrf4EQGS2dQiyRAFOUolysma++gCd+8WMAwAt/vtmxLvs6swLurUWbYTAF05b6Tzg2bNrguzzQgQtxAItlyacfQ0unS35cbuieEFgiGsmAe3tdQ5snpK3SKmIixuXuAbpwXMiBIzbsTKI64f+ZvP/S/bDrwFoAWYclXqY2AkeM9x/Hn7n3MNRVeHOmD9vVnKT47jHjpBBKup/DKPRX93kAl1qPLwXwnM820wHsyhgbzRhLALjA2o8gCIKw+NvbSwGUZ7axoroGAKDGzbyyMfvsDwBQIuTARcnJ4paTF7UpsR9h++bKgeOcQ0unEc8h4PJtmO1+6dzwCriU5cDFfC7fMHRsWLIYAPCVn9zoWGfmwJnCTRZwQbl0xbJsxmd4/s834+P/PlbyY3POwRSGQ86/xLPuq7fcXvLzdQdE1U4lQPj+491lnmWVccudsISaO0ROtSZBKAeO2NmWwci+1b7rjpk4CNccPc6xLKaWpoiJ+/eiMqByau/qOJpSGp6esdaxvE+1GQY/rHeV5MAVfVndmihtBB4HMA3ABMbYWsbY5QBuAXAcY2wJgOOs52CMDWWMvQwAnHMNwDUAXgOwEMBTnPP55XkZBEEQXRNRvKQcvXhE8+5zfv47AMDpP/4FmtWaSH3gwnLCBJxzgLGi8qCCQg2BbC+12y85G2/ed5f/vpwjlqgAYwzJlmbf1gNya4Iardl+PGjMOM+2ADB0vLPAiRBa8qCbcw6DMcR8Xrrsdo3d9wDHOmcRk2wIZdjfoRhev8dsrN2wMTAApmBEEZMDzzrfsTxeWYVBo8eW/HzdiaBJhae/WOtZVldpfkeI/lgKIweO8EfTDcRCIiJ2G1wPADhqglm6Iq4yrN+ZxLuL/QLpouO+9SrjKk61iutcc1T2e1bcqz/8jzMf2eAcjJlhwgrlwEUiShXKCznnQzjncc75cM75/ZzzbZzzYzjnu1r/b7e2Xc85P1na92XO+XjO+VjO+U3lfCEEQRBdkQmD6gAAmTIMvgxdg6KqGL7bHuY5dAO1egv2aF6Ue98IrhU3ii9isXrenMB1OzeZAk5LpzD7jZc964VQUuNxW6R98Ni/PNulpVy6CiMrripr61Dbt59ne7f4EM4ekxy4Hx0/ARwKRvfzFnAJC1eUBZzTgStPCKUQo8Mm7FHyYxtBVShp4BWIyBeV8x9zMay3uU+2+bLzMyeqU+qdrJog0f5oBkc8pI3AhMF1mP3L43H2vmb7GlGx8rJ/TcfOtsLbmrgnICvjCv56/hQs+M0J+NEJE/DEFQfioW9Mtd1iNwbndpEehUIoI0HZxwRBEB1IMmMO3DNa6R04Q9ft0vcAkM7D5YuST8a5UVT4JABkUknf5YPHjYeeQ9QIoRRLVNgtDdJJ7/Fe/tuf7MeGdL26lvEtwPL+Yw/ig8cfyu5jXYcqCbj+dRXgYL75hJmA3nBAcA5cvmGeUamu7w0A5enXFvD+U2+4YM654TcAgIoq/zA3P+wCD5ZQcw+ChatBjgWhGbmLmPSqyrZqkScDLvvXZwWf1x2+WxlXEVMVVFuN5g8c0w9HjB/gCP99avoaaf/sRIQt4Oh+DoUEHEEQRAfSZgm4coQ/GZrmyNu65rGZ9uMnrzgwfN8oIZSG4WkDkC9ayr+KY6KyMqdLoaXNfWXBIL9eP+KGVPlR0+xCLzLcMPDZ//6T3c4Kb5QdOJUxVBttSG/xhibOfPXFwPPLVSiNdsiBE9UKytFnLqgK5aRjTyr5uboLfYYMw5h9p0LLo4l7kGDLrrcEXBdsRUGUFk03IvWBE7w+f5P9eObqhsLP6/r9igeEccri8idPZ6MvZAeOcuCiQQKOIAiiAxE9nsqRA6frOpRY1oF7/8tsxcRxVjWyIKLmwBXbyHnSsScCAA4+92LHcjWegJ4Jr5yYdeAStmOoqt4KZzLHbnnbfmxoWqQWCKJCpJwDJ152Zv1yz/aJquC+eE4Hrvw5cPLxF330HrQ8Qvdy4dfI+9qH/otDzrs4YA8CAGLxhO/kRErz/8ypLkdCFDWxj0c5cASAzY1JNCY1fLQ0uHenm42N/hEQ+RK1gE5Qjzpdcg5FqPBRf3q3FJfWbSEBRxAE0YGIEMpi8g+CMHTNEfYHAF/WjEOGxXLO0kYKoTSKD6Hc95Sv4IdPvojKWqegVGPxnGJj0cfvAzBDKIXDxHI4cINYtoiJrmmI+zhwbuw+cDFJwIXk/oW5XcFVKMvXRgAAln8xHS/dcSs+evLfJTumXw5kvLKyaFHf3VHjcd/JidvfXOK/vTWwFbdVRUz1XV+OcvBE12GB1TtwyebmHFtmqQqoFpkvWpHur25w3zYZq7blbiXTU6FvWYIgiA5E9IHbsLM0M6EyhubMgQOANrUSOlM9hRA8+0qCIkiQcF58EROB+zpjCa8DN++dNxzPP3n6CQBAorLKHt3K17N63hy7kqWASS9Fz2QQS0QRcN4qlGrI6w4L/VRU1c7tczpw5RVwrTsbAADN27eV7JiGodshqzW9+6Cytq5kx+7OxOJxzz2yff06NM7+0H971Sng3A5cNoSSBFxPphAxttewXiU5d0sq2vdXULEug2cdOHlybMVWEnBBkIAjCILoIB7/bDVaLAFXjopbZhVK59e8AQUKN3ImusuCIkhclCIHTuDOXVPjXgfutbv9e4tV1ddjwiFH2PsJ/vPb63H/tVc4ttUyaTRs2ohta9dgx4Z12LZ2Vc5rM3z6wCkKw+rK4WhWazzbhwo4RbVDMtvTgduyakXJj6mlUnYI6rf+/i98+57SuXvdGXFvG4ZuN6t/6tfXoc8X//Pt0Sg+q+MHmS61ez5FpSImBLK910Rrmij87sw97ce7D6kv+Nxbmvxzmd0E5WlmdMPOm5MFnFxwhXBCAo4gCKKD+HCJmauw2+C6sgy+dN3rwBlMgQIjMBfB3s6QBZx/flYpqlAK3AIuKE8IAFKtLWjesd1+XlVXj6Mvcwo14RpybqCu/wDHuvuv/SYe/OFVAICGjRtyXpsQVw4Bx4DWWDV0n9evWc7hV3//V886JRazHTijHQWcoFSOKWBW/IxXmgJOjcWgxsLzDwkTNZ6Alknj46cexZ1fPx+ZVBIZq5hPle6tYCo+q3+9YG/8/qy9PPmrMWrkTSCbI3nrOZMj71Nbkf3Mjs2RFx1GUP6mm6A8zZRmeKqthm1PkIAjCILoMCYMNkPOpo7uW5YeTlzXPcIosgMniQvZKXIc3yi+iEkQajwOLZ3GF68871n3z2u+gXu+/TX7eVVdHRRVRWVNrS36NCn8MtXSgr1PPK3ga/ETcKrC7L+lGz2TQV2/Ab6NwhVF8XfgytRGwBP+WkIBl0m2IV4ZXLCF8EdRTRf2i5fNe7t5x3a7kmrC8E5aCEeiV1UcF04d6RHhlANHAFkB7w6xDUP+eigmCkSePNh3lz7B20n36MC6CusaOJ75Yh3W7jAnL+SfJrqngyEBRxAE0UGkNB0xhSGhKmVx4NLJNtshEZgOHM/ZbHnnlmx5aSNIwHGjZI6OWwjGrEIP7zx4r2fbVIszL0KNmWE2qpQ3J7cn4IbhqMaZL8lmsyhARU02XFJhLPu3dF9fa2tgJUo1FrPbEsg5cLxMDpzbxSydfAMyySQSlbmreBJOFEWFYRioqDZ7waWam+3JgQoj5QmjzJWvSjlwBJB1q3JNzskMqq/A9SfvhtqKWFH3j9j3uasPwdNXHZzzGoGsY9iccv6+KNL1L93cVPA1dXdIwBEEQXQAWjoN44P/oBdSUBVWlsFXsrkJVa7CEqKRddQm2ea2QQKudA6ce8ihxhOBzl8QaixbHMKRw2fovv3KBEG949YumAcAaG1sAABU12cT/hXGwLiBGr0VrY07Hful21pRUe3NjRPn4j4hlLnej0JJtrgq0pVIcBu6Di2T9kwQELlhCgM3DLRYhWWe+OVP0LJjBwDg3A3P4oJ1/3Fsnyvc2XbgqA9cj0b8huTTB44xhisOH4vhfaqKapytRxSPomgXY1kx575tZSfwxufmF3xN3R0ScARBEB3A4mkfILbkU1y07H4oCivqxzOIdDKJeFW1/fzQcf0Rs9yqXH3HHFUoA3rUmW0ESuTpuB04qTl3VGJS4RNZ/Pn1K3Oe2l/AbV+/FgDQunMnKmtqbacPMAfVezQvAgA89bsbHftl0infBuGAuwpl9hrnvf16WZptp1tbHc9L9X5lUmbV1ASFUOZN01azH6No1aFrGrgUitsvs8OxfV1leCEHIfDK8R1CdB0KceAECivuNyiqgPvK3sMAAMfvPsjeJ+36fUlmaCIiCiTgCIIgOoC3/3WP/Vhl5XHgwA2H86QbHAN7mYLOyJF0Lof0BTpwBi9ZEROPAxfzH7SGFftQ43E7LNHpwJl/h10m7e3Z54wf3+gYPPvR2rgTVZL7BphhPht7jQEA7Niw3rGOG0ag46eosWwOnBTeuHjaB3Zfu1Life9KI+CEQ6vG8xfaPZ48RXRdZXj4L+XAEQCwZJMZbliIgCs2CkSz3b/wcx80th9W3nIKRvSpts+3tdkMd7/JqogpeqMS4ZCAIwiC6ADSbVlnRFUYDB7eALoQDJdDphkGYLlNuRy4FbNmZI8T1EaAhztbeeEa1MYS/gLOndM1+fhTsvvEE7awkPPLYIV6rpoz03O8ur797EbdAFDXL1uxUoRWtu7cgepevT37Tt3XHHAYGWcJbb8G19ljKki2NGPTimXOawSQbi19zyNPQ/YSGabCPaTKk/kTlFPqx2mTh+bs7yVy5CgHrmezeKMp4HoXUHpfsX6DCkW4d1HFo6oyW/T9+gUzTPKDL82qzMmIFS17OiTgCIIgOphyFSFwV4nUDA4lZg4Gg1w1wcIP380eJ0DAGXp4blk+yE7e+AMOCayxormae4+eso/9OMiBA8wwyb2OOcFzPDUWczhwx33ravuxqLDYunMnqnt5G94O3MM8d+3IXR3Lw4StaOvwyHXf8/S5K0dFT7eAk4XlnLdeRUvDDvcukfCrzElEI6xPoODsfYbjl6ftjr9duHfOsFfRVJ5KrvdsRvU3826H9M4/L1VhxYXgCvc3qoCLKczOdRNNwEUrgpQUQjmmv38uMUECjiAIosMpVyNeM0fNGULJhAOXxyynEVAcQUunC8pV80OMUcfsOxWnfv+ndo6Vm52bNzmey6GWajwOPZ3B6nlz8PCPr3EeX1Fw/BXf9RzPXZ0yUV2DgaPGAoBd0bK1caejgImg3+hdkWIJLEg7C8WEFXeRBY+nQmQZBJz7vRNioHHrZrxx75147rabCjuuNQFQTHXPnkquyRMAuO28yfj6IaMjHY+qUBKAlIdWQJ5rsWH8er4OHMs6cKLx+OBepvA8coIZBTGaxFsoJOAIgiA6gJF7TrIfiz5P8li7rbn48sluJyijczBLQORT4TEo5EvLpEuWAyWEpqKoYIqCXfaa4rvdo9f/n+O5GpcKiyQqoKVTWDl7hnu3nI6YQEuncMaPbgBgDrRfveuvSDY1IiEVg7HPrZitBBqaXWIzpLiLQ8BpGcSkv1+p8gllPO6pcGvSpnhsc1XQjIq4J1Ry4PImigOXD9TImwCiFxLxo9hCWvmeW7XuWcPgOGK8Kdh+cNwEAMCYAbVYecspmDy8F7nKIZCAIwiC6AD6DB1hP45bOSxpzVRwm5YvxV2XX+gIYywEs/pi9gdVNwywmFkdUUunwDm3Ky2GEdRkWkunSubAidwskQcYNbdKFlbrFy/AltUrfbcLLiriEiA8uyzd2or5771pXk/cm1eiKgxVRhKTmpylrg2X8+m8DqcDJ5fhL1U4qvtaHFh/XxFaWaho1O0QyvD36X8z16ExWVrB0tXJtz1GLlTKgSNgOf+ssEqzCvOW88+HfCtgqkp2P1GF0l2sRylTe53uAgk4giCIDkB2RuqtpHMx0N20YhkAYPW8OcWdg3OHKNAMDmYJrnSyDTNffQH/+r9vY8PSxaHHCSpiUsoQyvr+AwEAg8aY4Yu5wgm/+vu/4rCLLsPAUWPsZW1NjQDg6csGBOdqyULxkPMvwci9Jtthgem2Nmk7r4ALmrAODaGUzqdrmkPAsTK4We4cOPFecqO4HDYjQhGTNdtb8f0nZ+HqR7/wXb+1OYV3F28u6PxRmbt2Jz5aurWs58gXPze3GGJKeXPgWlIa3l60KfeGRIeic25Hc+SLqrCiQvgz1uRjQo0mK1TJNU4H7BsrU3ud7gIJOIIgiA5AzoOpt/o87WxzFuAo1pExDANw5cApcdOBy7S1YeVsc2DdajUUDjxOgIDLJJMl6wM2aMw4XPKHO3DAmecBCO7NBgC9Bg7CoDHjMPWMc3xnm+MV3iT+KDlp+59+NhhjtihJyZVCfRy4oNlhcybcfyAlCx49k3Fca8znHMXiFnDC/RH/b1u7uqDjbl65HEC4A5eyBmbz1vmHaV5y/2e47F/TkQnoM1gKTrvzQ1x836dlO34hHH+lNxfTTT4tJcSgXS9TI++fPTMX33jwcyzb0px7Y6LD0I3C8t+A4vvAic9wIhbtNysm5X2nNANxlUFxuXfFtjbo7pCAIwiC6ABkB66XcOBcAq5oR8bVj0zTORTLSZr+/NNo3rEdgJk75kZeFiTg0sk2h4NULANHjbGFW5gDF5R3d+w3zQqSfu0YWIAglAWIEHN2CKUs4HwcuMABT1gVSknAaZm04+9XjkbehmE4HB/hnLkrYObD5pXL8eZ9fwcAu6qpH8f++T0AwUJXCIJyCLj3vtyCUde9VPLjloLq+l4YOn5i6DYv3f7HyMcrtwMn3qfWFJV378x8tmKbpyl2VBSWrQqZL4bBsaPV/D6JR3TghFjTdY5UxkCFz/eIUq7+qN0EEnAEQRAdgJwHUw2z2qFw4BrbzL5izeniBrZyH7iPl27FuoY22wFas2Autlguip9bFEskMHjceOs4IQ5cVWkcODeyMzb+wEOd1xYg4Gr79rWuq82zLjAHTho4iL+DEHXpVlnAeQcYA+u8whfw9t+TUSXBuHnFciQkARfWpDwXhqHjrQfuxvb16wCYYjDZ0gxuGNj1gIPxtVvvxICRo+zcNV1qx9CwcUNe52rYmG1cnisHLgwx4S5CqNxoRQi7Bz5cUfC+7cGoyfvk3igi5c6BE/MKBZo7RDvxxeqGgvctJoTyppcX4u73zLD/XI28BbIDl9Z1X+eu2LDO7g4JOIIg8iadbPPNMyKik0lnmz9XKVY/nLQ5uJ650nTGvtxSXGNnORfrIiuMzM8x8RMOuqbZ+W1BLQfSbW0lC6F0Iwu4+gEDHesq6+rcmwPIumSycyaQe7059lFjOOnqH2D03vt5zi0fZ9TkfT37Dqz3d8/CGnnLzbsNXUOiKlsq29N0Ow+2rV2DWa+9aDs3c958BX//xgVo2rYFiqJgwMhRUGIxu/y/XAnxsRt/lNe53v33/fbjKFUog4ZgItzLzzV4YfZ6jLvhFSzPM2xv7Y5WbG5MdvrcmcnHnVSyY8XK3Eagc/8liVIQUxgyWmHv9FPT19iPoxZQUWzX2LAcOK8cURiDrtPdFwQJOIIg8ubhn3wX//jWxR19GV0aLZUVcAlLwCUzplDSLHcuERKeFgWzCqXza171cUz8quIZuoa4FUbp58DpWsbcpkwCTr7uiuoanHTND7HHEccCAGr79PXdRzhzrY2NnnVBveyYomD3w4/GWdf9KruMMShqDCtmZdsRBIWKZuJmeKIsgs32Df7vXUZ63wEgXpE7VDUSlmAR79XSz7N5X+JvqcRi9nstN0TPt5VA09Yt9uMofeCakv5VF0Xulp8D9+r8jQCAeeu972UQnHMc+od3MPXmtwILzHQWovT8e+yGH9phzmGoZQ6hFJMTnf1vShROn+oEtrWkc2/oQyEumTzpkNYNXweuOqGiLaN7Qss3NSbx0//OsX8veyok4AiCyJudmzZ29CV0eWQHLm6N9cUPku0WhRTyiIK7DxwAzNvgdTQMV2NhzrnpwFniwk9YiAqNiRLmwMnIRUxq+vTB7ocdhT5DhwEInuUVhUbWL17gWRfkbgX2a3OJ56AB99ZRBwJw/g1N59P/uFraKeDkKp7FOHDu90h+XULYqmrWgSsmB04marsHP8QsvJ+AiwtRkkcY5X9nZFtitKZLW6q/1PjdT0nFGRq8YelizHrtxZzHUll5HThBoflVROdneJ8qbG1OYWtzKvfGLgpxu4Xj1pbWAx243tVxaAZHc8r5Wf7BU7Pw5OdrMHtNQ97n7U6QgCMIIpS577yOrQG9tYjCkR24OJwOnN2Qp8jGztwnF2vhJm9YptuB44YBcG47cJ5m0Mg6OH4FUEqBIiXD72k5byK0MUhMuStFXnTTbfbjfMWR26kMqoq5bJspZBeub8guDMmB2/vE0zB47K72c7kKZVCuYRQySWczcfn8iWrTJVRiMTsc9vV/3F7wuWQKbUMAZJ2jjE+YVMx6/7U8QqjWN2T/Bg2tnbv33PeenO1Z9s9dLvcsS7V6w4HdlN+BM/8vZ7VQomMZ3Mv8HmpL5/8dVMhtV2dVXj76tvfw6vyNvg5c7ypzQsP9WRaOftSKl92Vnv3qCYLIyet334GHfnxNR19Gt0NLp+zcEhUGGMuWXYflwAW5OFExc7GcX/O6jyh0uzeixYFw4HQfASeEQDED+DBkYWOHAOaoUOkWcL0HD7Uf5x2e6PrTKwHV1XTrZ/QXz5o9+9Y3tEHTdfAAAVdVV49jLv9O9rixGC6+6c8AinPgkq2mMPfryyfyFFVVha5paNi00RFCWQzFFDHZboVs+TpwVmGOTB5/E/lPngoojNJZeGvRltwbIVs1NAzGGFSl8CqCueDWNxUJuM5Lse5rrMBCOO9/uSWwCFEY7qbdflUoe1c72+sIxKROTy9QSQKOIAiiA0glU0gzc7DNDQOqXDJZiI1UG+759tfsfm35YBg6ODc8IW7MpySBXFgDyA4a464QykUfvYenfnM9dE2zQ/Gi5EAVAlMU7HbIETjhqu87lgEhQsf10mTXLCgHLgjDNVgNEqqGJYi/XG/mkR18y9vY3pzCnHXBuVvysdYtXoD6gYOscxbuwKVazNBY4ZrKlSVFGwFRxGT7+jXeA+RBjZSDGNZGQDAgoFqnIO3zum13zhocRnEGZMnc1snzY4yI7jqPWEJEVVjZHbhCBupE+6BZ32+7DfYv8JQL0Vg733voaw98VtD5quLO7w2/EErh0jUmnb9PCzaY362dvVBRuSEBRxAE0QHsbGpBWjF/oHRdd5RM5pY4MjatRPOO7Zj+/NN5H1+ERSqxGNY3ZMvqtyneoiNv/+se331FeCS3QvteuuNWrJk/B62NDdlm42Vy4ADglGt/jD2PPNZ+vnW1WRp+3jtv+G5f33+A/XjioUc6XDO36OszZCjCcIeNBoVQioG4AsMW4Awcq7YFh77JLQ2q6urtYxfjwIl7RLim29dn88FEqwczB04v6jwAHNUs/Prjudl1YG3o+rRP9buYNKB8c8EmTPzFq5i7NrzYiuzAuQscvDhnPToThmv4NaPXFHz9kFHeDSMOUmMKQ0Y3yuLCiSOSA9d5Ea7UmXsPK2j/clcydeMOf/x42bbAbeSJg81N2TDpfMKruyMk4AiCCKQcjYV7OqJ4CdM1pK2iBVwIOJ1j1ZxZYC0NYmMAhRWKEGXiY/E4zvnHx9kVPqF9WiqFV+/6i/3ccAk43dVGINncbIs8v6qWZcO69qlfOdd3dbyyElX1vQAAg8dNcFSCdLtb59zwO3z/0f8FnsqdjxYUtikG4go37AGuynUYSvDfRW7QHq+otI9djAO3be1qAAEhlJaAM6tQZoqrdgnn90IsHizg+tWY1+I30JKP4VccQ4RQagbHu19uBgDMWtsQel01Fdm/+Yl7Dnas+3zlDqzd0YqWVCcpbsIY/jb6KvvpzF6T8Y1DRns2i/odrDKG+z9cgWufmFmyS9QNjhmrdtjXkO7hA+bOjHDOYhEbabtRpbL+7YGf4+YmYb0WOUdWfkwOHEEQRAC5ZuqLKbrQE1m7cB7uuORsrJwzEzGeFXCGoZshlFoG/73p51BXzwUAcM0UcGvmz8Vmq+l2VIQIU2NxrN+ZnbW8/YIpvtvPf++t7L7WAF+EUAoHTgiodFubffxyhVD6Ie7HXgMHB24z4aBs02+HA+fqAxdLJIqqoCiwHTiumwKOc8S4Dj1EwMmupdmywDyGX65hFNw96Ga/8bJjvciBU1S1NA6chBLiwAlh5ifQlmzOVkP1C83LFjHJrgvLCE1rBv43c132+Juc1VYzuoFD//AOzr93WshROo59R/XDiL7VnuWRBZwleF+cs6FkLsoxt72Ls//xMZZZ/ShFOOsXq3dg1HUv4ZZXFnU6Z7OnIj4nURtpuymFA3fLWXtF3rYinjtyQzhwsvObkpz1nl4VlQQcQRCB5MobilIhjTAZ//NXcN9TZujfnDdeAQBU62Zoo6HpUFXmGcDzJrMHlJZJ498/vTav84ky8W6B1ac6gcv+/A/ffcTAXuTECQduxwZrYGwNJvVM2r7WKI2cS4W4PiW0h1Z2ACMXcOGugYm74IkbPyfLD4OZr1+BgaakBgUGFHDoLETASc7gfqeeaQu6Dx9/KNI53cji1NA1vHnfXY71IgdOjcVgaJr9uT7zp78s6HxyzmTY+y8GXn6z+vI4szWt4ZQ7PsC7izfby+JShcooGmb8z1/BbCnEcu46Z7iluJZ5IbmJHUk8aDIhjxBKwV/e+LIUl4SVrjBg8Td8b7FZgOXu95bhmsdK5/gRhaPbDlxhAq7QSqbittttcB0umDoy8n6JCE6hcOHlCZ4HP15pP/75s/Min687QgKOIIhA/MrHy8gNfYlw0pqBBVahiyWfmSGNvTQrGdty4KJUnIuKGGS7XSaDc/QbNsJ3H+GoCgdOiJjZluAUgkjLpMtexMT/+kR1zuCfrmz5fA7GGM77xc3Y9YCDsd9pZzq2y5W7pcajCbixg8yiAQo3cNZdH6NOawIAaCxY2IjrV+NxDBozLlJT5zAMKcTV3SgckEIoVbORtxDCvQcPsbdp3LrZs5/vuXTdMXETdu0i3MlPNMmT5xt2JjF/fSN+8t859jJRhEQzjJJUlPRrVdCZSFiOxO6HH+1YHtWBU6TQ6Fll6o8lHI/ainYMmyYikRECrmAHzvwc3/XOMv/j64Yj/0wg9F6+90RFPIqAs3LgrPtONzgenrbKXr9Oyu3uiZCAIwgiEL8QSWe4Vs8OYcgXxXJK6geaA+eGWD0Ac1CsKszTUDsX/3x/Odbu8HdBV802Z8ZFGKQgbDxo6Dqatm2189vc+4q2Bno6U/Y2An4IQRmp95z1QkfsMQmn/+B6VNY4C2nkCp+UHbhL/nBH4HbfPXYCAEABx8bGJM7Y+BIAoCrjbZguEH/XPkNEY/IiBZx036xb5G1inq1C6QyhlMWXHrGxd7K5KZIrpBvcEY7lbsidkkSnmGHf3JQVn+JxKmM4GnQXyrNSeGVnJG5V8zzxqu/j6geesJdHFXByaqu78XGpEO9TQIcMogPRdSHgCvsuEbu9uXCTp2w/ANz4v3mYetNbnuJAgnynR9w5cH7Cs8IVQtmc7CT5q50EEnAEQQTiF0IpN32mHLj8UKyfuVitKdxm15s5A0LAuRtqh7G5MYmbXl6Iy/413TzWmgas2Z4Vc289YIZJusVOWFnydYsW4N7vXGaHa7pdKOFuORy4dixicvjFX8eBZ1+IXQ84KHAbUU5fiJYgcrleMem1Dxw1JnC72krz7yvEeVPMFIpbBkwM3Keqrh7HfvNqnHT1D8xryWNEzDlHa6MzPFAOvfWbBLD7wMXi0HXN3l9RFBx83sXWcaOd/4tXXoi0nbtioTs068np2VYGf/YJ+RNiQW4HUKi70BVIWBMKTFEcPRCjfifIf+5C8pg457jt9cWhrkZKM6tc/u6lhXkfnygvol9ioSGUsvBrSnoF3MtzzbYk7pL+gnxDL+UQyrP2GYbX/+9wzzbCgRO5l02paJNMPQUScARBBKKnvc1+5Zl6cuCC2bhsCZ77002Oin8M5t9r+/LFAGDnSRm6DoWx/KoDWr/TO6xmyGf8/SMc9sd3AABtTdmQNbeAC3vLRCVDgTtPTFR11OQcuHYMoaysqcUh510cWNIfACYdexIAYNSUfYs6l3DgzrwuPE9MhJAKAdcYq0eTWoN0X/8wVcHk405yCMNx+x+EvkOH57yuee++gX9862JsXrkc6TZTsOcKvRWtBRRVhaFpeO/f9wMwxYI4J484GaOlvSGafrgF3POzncUuHv3Uea/J/P6VhXhl3kYAQDJjoK9VzbLQCntdgYRU1EHO8Yz695adukKq8y3a2IS/vb0U1zyW7Tk5eXgvxzZpzbDfF6JzoRXpwKnS5EiTj9MlCoo0+rhzAPJuXyFPWp0xZRjGDPC2Golb5/zVC2ZUgdtZ7l8bIRKjG9N9vw0JgiiapdM/8SyTCxgUW468O/P8bTdj6fRpaNy6xR5cMdfA6mor/M4wdKxraMPMld5eOEEIIebXm0kezLnDIPWQwd27D9/neC47AYDkwKVlB679QiijMGy33fHDJ19ErdRsuhDqBwwEANT0Dj+OeP2qJc7jPIOMEkdlhCprMv2Gj8D2Detyutqr584GALzz0L3422XnYcfG9YGfw6Mu/RbOvuG39vumWH3gBExR7OuP6vTUDxgUaTt364A3FmyyH4cN9jjnuOe9bMXVpKb7FjMIIkpxhM7EzPpJAIBEPDsRIrvDufKQBfLnupDq6kL0yQ3TVZfjeftbSwJD6IiORRQKcr9nUZHdbT8HV7hhfuGV5vkLzzGNB1xz3OUmbtzpzMHb2hxtcqO7QpmoBEEEkk6a4TRBuTLkwAWTbDaLWSiKYhdQUOD8e1VUWG0ErMHz9qbwpGzOuT0YF8LNXZyhNa1BS2ffI3c1xXx6+7ldmWwOXDrbRqA9+8CVgEtvvRPb1q3Jud0JV30fiz58NzR8Esi+/j6VCtYAiBsZZFjcM/jIRXWv3gDnSDY3o7q+V+B2wvFcu8CswLZ11UpPSKWg16DBGDVpb8++9rUrqi3gon6W5QmcMNwTC/J91xYiApIZV65cRgeD8573Y+KQeizc0IhPrz8G594zDUulNgWVccVz3M7Ch30PxheDDsVFsYBG8RHfF1ncFuLAiSIo8q5+A/lbXl2U97GJ8iMmTPL93hHIws9PjIkJqYZW/89/McHNQeLPPRnjl8cq/yb2NLrWVBVBEO3KB489CACOAaUs4Iwe3oclDDFg1XXNHgi5HbiEEHCGgTH9a+wwvCBmLN+Mj5dtNY9rHVM3uGNwvPsvXsPf3lpsP3cLuHEDzVAVUZhj1OR9As83cPRYjNv/QNt1EcU21i5aYDs5SsDAs7PSf+QoTDjosJzbVdXWYe8TT8s5OBCiqDpmbhfjGjQlhoyW3yC6qs7Mi5TDX/1grvDR5/98M9687+/+1+YS1263lBuGLUB1TUPDpo247fxTseTTjxGEX1i1H+4eTfIYrSUd7Pa5HZ43F27GxkZz5v3W1xb77QLAdBCOmjAAfWoS+MPZzn5Ug+orA/bqBDCGlJENUXMTNbQ1yJ3c0ZLGsi3BBXU857NyZA2D+4reLU092/XorBTtwEnCz11wCMgKuNVWnvWjn67C7W8usdf//eLg35Egjp1oRjkETei4v3vH9PeGWQY5gj0BEnAEQeREkwZt8gx81MFFj8QSVYam2wnmGcUppqqqawAAqdYWnLDnYNuhW1k1Eq8NOMZzyEvufh8X/fNTcM7tH2wOjve+dLZzeH5mtmqf7JB98rNjMG6gWfZ+4Kgx+OGTL2KXvab4Xv6Egw5DorIKFdW1dp8xIRSXff4JmraZQrI9c+A6I0IUxZgVQmlkUFdb46iyGIWoAk4NEcwj95zseO52Wz3vFWN2PqFh6Hj34X8CMEVhEFomA8YU9Bse3vPJ7QzLbk5rKvhvE9actzmloaHVX0CmNcMWQeJlTx7RG7N/cTz61Tg/d/m+N+VGN3iggFs9bw4at+Ru8SC7GLJTeeLt7+OY297DpkZvCXj3NQBZoX3Fv2dg8aYmuPVADzU7Oj0pS2znG7otiOVw4Kqssv+/tvLRbnh2Hv7ypll86JS9hmB0/5q8z1lfZeZYu8Ot/eCcQ/dxo8Pc/O4OCTiCIHKSam2xhZsmO3A5HKOejJjJnvnqC9B0DsYNjG5d6dimV//+UONxNG7ZjJjCoHLzx2hW/SSsrxziPiRihulcvLN4sz1A5hxoTTt/xBx5M5KAG9zL60TEKvzdCZETJZo/A86cx7YmM2xPCI+eihDIMWaFMHENiCfy7l1WYYn5dKt/WwiB24GTcefPuQWcO3S0tk9f20E1IooaLZOGmojja7f+Df/32HOB27nDHd/7cgtembsBE37+ClZuawncL1ee28YAIZLRDTtPR8zcV8YU9KqO28sFLSECsj2Q35de1iA2SMABwBO/+mlex5fD3DY1mo7ZATe/Zbv3fgjhzDnHgx+twJsLzZzFIb2qXNee16UQ7UTS+vwWKuDkPoJ+gko+rvt75SWrQmW+3HjK7vjGIaNx3O6582pb0zpS1j067WfZXolFpN51eUjAEQQRib9ebDZC1jPZGXAKoQzB+pGb/cbL0HQDUxrnoG9mh2OTingMsUQCeiYDVWF2CKXBFGjM62yJNgRbm9L2j6xmcM9g2bCE3vgDD8UXW8IHq+4iJ/YxpEbdui3gsqFvWkZDZW2dp9BJT0OxxMFeX76AYW3rEDcyYLGKSAU3ZETFz1z92JSQKnPu5uTubcdPPdh+LHrQCeFotl/Iba/omQxi8YQjf86PacvMgjzfO2ZXe9nvXlqIlGbYrS/u+9p+nv1yFckIKpGfkhy4KSN64/JDR+O280xH0i2OOrqflOxOirLsNYlgJ7tp65bAdX7UVfof651FwU6eKNXOka36BwD77NIHj3/rwLzOT7Q/SduBK2xYL1ev1HycLvF7c+zEgUUVLJHpU5PAL07bPXTyQtCYzCCtGairjGFIryr86PjxAPKvftmdIAFHEGXi3cWbfWPJuzrOIiY9N3whF/IsZcbgOHT7NM82ibiKWKICWiaNuKrYIZSBAs4SeO8s3uzo1+TODYpZQm+3Q4/ImRMRJOBkB07XNHDDcDhwmWRbjw+fBJwhqmdtfB6VTIMST+RdrU/kKmqZ8Bwz5no/5X51cr7jvqecgV2kAiYA0NsSbQCwY4NZEKC2bz8AQNP2bZHC4/RMGjFXewk/fvn8fADAsN5ZB6fCNbjs4wptBICmHE2og4qRpHXDbvyrKgw3nro7hvcxewGu2+EsDhTW66w9kEWo+JqoTpQul9Tv75oLMSh3O2zJjI6DxvYL3ZcqU3Y8Iiy4osCcZFUNd+DE8VOaESnksdQ0JzWkNMN+fcIZLqRgT3eBBBxBlID1DW148KMV9vP3v9yCy/41HXe+sxQA8OaCTXhyenDfo45g3aIF+N+tv4tcVU5ARUyiIQu4uWv9qwQmYjHE4nHo6TRUhUENcOBmjD0NQLaK5SvzNuLbj8yw1691DVDrE9ZAVo2hyhoY1lX4i60gB028z2YIZcbRLBoA1i6c1+UqUJYDdxEX1cggVlmVU4i4Ee5ZLgfOHUIpC77xBxxiPz7kgq95mpW7C9oAZrEWRY2hecc2rJg1w7PejZbJePoDhiGXt1++xRk6OUQK6b3upN0AwNGMXubSg3YBYIoFw+D47uMz8dmK7fb6tGZ4QiUFa3Y4j7kjII+uvcj4OBw1AZ/PQpi5ugEL1jdivUuoho115RBKmSjibMPO8Pw6orw0pzRsbTLv6UIdOHleyM9hEyHhKc3w3L9RHLRi0QyOtOacpAEohLIgGGMTGGOzpH+NjLHvu7Y5kjG2U9rmF0VfMUF0Qr79yAz86oUF9syuSBhfvc0cOHzz4c/x06fndtj1+fHEL3+CZZ9/gr9efKZvGfKgflSa1C+KHLhg5ApastiSicdjUOMJaOk0YlIIpQ7FrhYwv3YidCu0jUXMORzZJ9u4WfDXC6b4bhtzOXBHXfotx3MlFoeuaR5h0bhlM5q25Rfa1R3xVHo0dFRUVqI5peUV3pN14HIJuJCfbemek505+9p89mWKgqr6erQ17swpHgGzCqU7VDOMqpCcnKGSO1drCZjvPTHLd9sz9jbdw7RuoDmt4YXZ63H5g9Pt9RndCOwB5y6o0tGz9sLBkAfbbgF32W3/QGVtXcHn2NKcwsG3vO1YFvaqRQjlym1OsRtFwG1vocqUHckJf3kfN728EABQWaADVyvdf34hlELgpzQDuuvz1B6RRrol4IRYFF91QSHVPYGCBRznfDHnfArnfAqAfQG0AnjWZ9MPxHac898Uej6C6My0WLPtrdb/W5vN2TClwJK+7c2STz/yLJOLGozZZ3/U9O4DgPrARUd676UB46qqEdktGIOqqtB13cyBk0IoAeDvo67A2/2PgGZ9VSeUaD9WQugpaszOjwua4XeHQcYSpqATQkGs19LmIG2PI7zVMXsyfi5korLSLC6TR2hZosoUM2YuWsj5QgSc/G3j1/6ABeSsVVTXYOuaVTmvccn0afjy04/QZvU4jAJjwFl7DwtcL0IHc4UQxq3XrescfvMY8uAuiMe+eYB5jA4e9LVabRTqKrNCuMb1+vsNH4GqkH6AuUjlGdb4Kyvk1c22ltxuZU8u5d4ZkEOC3WHKUamrjOPNHxwOwP/zIapcpjK6x4ErZ5sOkc+pGxzPz16PFVtNF184cPn0Ne1ulMr3PAbAMs557l8AguiGiDA1kZ/xB6vZKUPHDxai8OZ9d3mWiRyofU4+A70GDbZbCcghl1GbzPZE5PFzn0yD/fiFQSfbj2OJCjBFBTd0xFQFilWF0rC+mg2mAozB4NbBIv69M3aTbQVNVsGGoAavbkenqt6sKllZY/bcEQJONHWv69c/0jX0FPz64MUrzQFNPrlB8YpKVNbWoWn7ttDtwiZNcn3TBIm/yppauy1EEKnWVjz/p5sAAG0BjcP9MDgPdbyyAs4rhGX3TgzYNMMbwmUYHJrBA0MoX/v+4bjva/vZjl9HO3CiCmaf6qyA83v9YtIkCvuP6uMQgbe/tcSzTZjQWh8QBrmlMfc1vDi7sCqEROkp1IEDgIQ1weN2rIGsA5fWvTlw//n2QQWfMxd3XmT2l3OHdYqqmToJuKK5AMDjAesOYozNZoy9whjbo0TnI4hOhfjSdPckURjDLa8stJ935opJ7pBJIdR6DxpsFtqwBhOOHDgKoQxGUnBnbfif/Ziz7NduRXU1mKKAGwb0NYsRt6pHGsyV52R5K7s2fYkaLXdTXt0WcDFc/4wZutscUDpd9AFLVFXjlO/9BOP2OxAHn3cxjv3W1QCyAk70oiomrKs74lfIpaIAAQeYwk9LhQ+Y881ZlVECWhBU1NSgZcd233VaOg0tk8n7vP1rTSf32ImDcMXhYwO3E6KrwuWe/f6svXDpwaPs56LRsGZwzwBSDC6DHLgJg+tw7O6DbBHY0am7zVakhmghADhD2AT9hplufU2fvjmP+Z9vH4x5vz7Bfj5/vbefYCHxIFH6bD0zc10BRybKQTFRP6KQyd/e9op/UVV3+ZYWbG3OfkeNHVBjFwsqB6r1O+oO0xQC7rcvLvDs01MoWsAxxhIATgfwH5/VXwDYhXM+GcDfAPwv5DhXMMY+Z4x9vmUL5VUQXQvhwLl/7BgDXpqTnZ1s6uDy1TIiVE4w963XHc+bLSeAczOfRtc0GIbuDKHs6JFQJ4ZJw6Vqw392mykKFEXBhiWLse2/d+DQ7R8DAHTm/GoWIZSTmubjrA3BvbcAM3xy2+Zsk+1e1iz/gFr/apMDRo3GlBNOwVd//xfsdvDhYIqCg86+ENVW+NbOzWY/qPcf/RcAEnBufEMorXDIoIqJQcQSFcjkcF0yIQIv19BNdlsnHXui/Vi4rTLC6bv9krNw73cuc1QgjcKg+gocs9tA1FXGMaxPVeB2w6117v5VJ+85xO6lCGQbDes+bTOEgHOLQDfMNrI7biLt968sxNn/MD/nvaqyeYrVFV5xffK1PwYA9BkyNNKxGWN45PIDfNcN6VUZWPAhrOWFEJmTR/QGAFx5+BhMHeUVlF0h0oQIJ259xlZt8xYSku+RH/9njv1YKXNndzHpItzjsQNqrPOa6z9aGh6x0J0phQN3EoAvOOeb3Cs4542c82br8csA4owx3/gbzvm9nPP9OOf7DRgwoASXRRDthyht25Z2CzjmyEW54X/OQiaGwTsshttdgMQdFvX8n28GACydPs0usKCnMxRCGRE/d/K9vmaVwDtHXYlTbnsIgDmoTlp5Twlu/m0Nl4BrY1nxVRfgwPWzSodPbfgcx2x9F4BZxOSMyWb+0YTB/sJLUVQc842r7L5gblJt5o/55hXLAPhXMuzJ+OWaVRbowMUSicCwuad+cz0+fOLfgQ7d8Il7Ythu4UEuclGbiYcdlT2vTysJXSpW1Na4027mHhU5Jy3m4wrsZt2P//jqvvjD2Xth/1F9HOvjMYavTDHvyZeuPdTuU5XRvQKuNRWtibEYDK7aHtxIvNzc895y+/GnK7KDT78+cFW1dRgyfjesXTAPrTsbIh3/0F39Q5yrEqpdCt5N0HIAePoqs3fgA5fuhxe/eyh+dvJEPOUTMify+oiuS1jLmbT0mZNDccus32znfeU28zP7w+MnACi/cOwKlELAXYiA8EnG2GBm/boxxqZa5+u5cpnotohqYq1pzSHI3N+HL85x5goc+oe3ccDNb5X9+txwzh0DNMAbmrVz00ZzeSZju3WZdMrOhQOAhR++W94L7cL4ORZz6vcCYIZRThhmzmL7NUM24Fy2XvN3z2REsYGRbWvsZYqq2jkChUbWuAfuihQyeMCZ5xd20G5OZbUZUhQ2MPYjnqgIFGhr5s/Bp88+6XDg+o8cZT8+5+e/Q/2AgaHHlx04OZzST5S7vw9SrfmJnpRU8jvmk3+5v+Xi9K+twPn7j0RMVexiJzGFoSquYuKQeqy85RTsMbSXfYwf/Wd2NkfHOmxDm3nv96kOn1wQ4Vh/f2dZXq+lXMgRGUHl3zcvN1vRfPTkI5GPe9AYZ9+20ycPRUJV7FLwboIcuIsOGIlR/U3Ho19tBfYcFlxUxT15SZSfBz9agTPv8hYgK5RYQA6pbnCHwyr/lsTCquKWACEqN+40v/d6W45wrv6mPYGi/vKMsWoAxwF4Rlr2bcbYt62n5wCYxxibDeAOABfwnlwyhui2iGT7lrSORulHmbHwHIL1O5PY3NT+JZgN3Ttb6u4vJRi22+7ZEufpFD57LhstvX5xz40/z4VfGXd5ulI4N35l4d0OXIb5l20/cY/BnmVplj2voqowDA6F+TtFURCNngVyztdB51xQ0DG7O1VVwoHLN4QyYU+QcM59XVw5xHLioUfaj8X7cuZ1v8TpP7je9/jyPSBPHMjh1L0GDgLg7Uf38E++G/VlAHA7cNn7eURfM2TSbwBWYX2P9q5OeO5X2cVzO3DN1ndubWV4L7XOVhX4MMktC/p8Cne0aXt4kRmZKqmYyRHjB+COC/dGRVxFWjOwfEszRl33Et5ZtNneZlVA7718CBKHRPn41QsLMHN1Q8mOJ3/G5H6MQuCL+1UW8uUe0ItJlwesPrvi3iYDrkgBxzlv5Zz345zvlJbdzTm/23p8J+d8D875ZM75gZzzj4u9YILojIgvldaUZrcUAEybf3uEMsztjV+/J9EmwM3eJ52GuC3g0ki3tfluRzip6dsX1b16+67bfUi9/dgt4AwwRw5cIqY4Cp/I/PYre3qWcccgPQad86JmKw8+76uO56qaFZP59APrzpz6/evQOnKK/bzKcuDydSWYotjl/F+641b85cIzADjd3B0bsgUj/AqojNl7f+x6wME5z+UQcNJkwy6T9gaQux9dLtJ6VsDJ95+IuvYLqxSOnV/OnOwOCAHXlNRw2B/fth25oEqrgs4WdvXr03PXdRPvjd97HYT89xZ/k4qYgpSm2wP+52Zl76O/WRUrd3OFWX/jkFGB53jzB4fj35dPtZ+7RTXR9ZDvm5Nv/8B+LATcAaOtqBHpc3TwWOcEX6lxu/eiWqt8re3Rh64zUv726QTRAxANZJuSmuOHzD1cuOTAXdrxqoJxh08CwSWr1VjcnqHX0mkkqspXcao7Yei6I8RN5pnvZAfY7tLuKaUCBlNx/n4jcO0xu+KrBwTfM3LYlfg9G9wrO/hVYsKBK3zgGos7RZpf2fyezoSDDoU+cLT9vLrG/Iwk8wyhXDVnJtJtrbjnqkux+OP37eUfPvGw/ViENgPApGNORKHI950qvcdxy/EpptolYDlwPuHBB4wxB4GnTBriWScE36A6b8iwXLFRLim+ZnubHd6VK5xL7WQCTu4DF0SusFg/5FcpBrrrG9rwyfLt2UqcknVy5ATzHN85apy97MkrDsS4gcEFi8YNrLPDYAFnjhTRMVx30m5F7S/nkDZJE9Ep3ZljOmdtAwDgj+dMKvqcuZgwyHkPikke+TftNz20EiUJOIIoAWI8sWZHq0PAucMLOsv4QThww3bbAydf80MAwLsP32cX05BRYzE7hHLOm69gwC6jMHjsru13sV0UruuIV2QbnI4492r7sfxD6enDZlWs7F0dxw+OG4+qRPDXdIUkpp79ziFYecspjqaqiqLC4MUJOMDZvFuNxTByz8lFHa87okguVl2tmTeUbwiloNnVC279lwsdz6t79cYh519i95srBLmpt+oIpzSPqWcyBbcJmbduJ5pTGmat2WEvGzfQrHQ5ql8NVt5yCvYe6XX8B1rCzS/sXJ5xz7jC9TTL1vPLtZMpc7pO3iQCco5kTv/hDQCCIyT8kD/uQtSu3WFGToi/rVyJUzRLniSFxh0wJrezIr8nO1upmXdHcstZe+HKw8eU5djCgRPul+gZuEvf6sDei6Uipio4duIg6bl5z8n33stze2Yfwk72dUYQXRPRGLY5qTmaYLrDSlLWgI5zjl8+N6/9LtCFcOD2POo47Cbl0WxZZcaZy6mqTFHswhWz33gF6xYtcAgTwh/DMGw3AwAmjPAfEPnlwAHZnBi3a6Aie0/5hYwp0g+qEovhi9UNkXo5hRGT3m9FjeHsG36D7z3ybFHH7G6okoCrqRFtBPL7u+9z0umeZYauw3A5eaMm74MDz8oWkAkK1Q1DDqF05sNZFWczGbQ1enuJAcBxV4Tnw01bZgrQL6T8nDMmm6Xwwwq7jLYKZqQChO81R42DqjBkXCXrRV84v7BMmc4UQnniHoMRj+W+nto+fVHbtx/0PNzcqyUnzS1qd7SaIf1yzzz775dDALuR/943/K/jfs8Is/pooXnOuRACzj2Z2F45pXKkiZiQkAsWVfTQqBAScARRAoSAa8voDtH24VJn4rkIM3ly+ho8NG1V+12gCy1j/oir8bjjS1/0+OJSe4B4RSVUV68rJRbDAWeeD8aUDmuD0NnRNQ0bWrJ/x751VTh24kD8/JSJju2CmiuLt8XvR/LA7Z9a2zDccLJ5vIH1plhU5dA4VcWMVTs8++eLLER1TYOiqJ7Qyp6O/PeotGaq8xVwfYYO9yzTMxlsWLrYsUzuPfed+x/H5Xf8M6/zAM77Tj6eHELpF0Z52W13YdIxJ3iWy/iNI4XrHOZKimbWQRMOiZgC3eCev6sWMYSyo/Wb/NtwxIQBkd0LRVU9bV/CmDS8N0b2NcN43fmv931gTtI9KzXflv9+vzh1d+y7SzS3jzGGH59glnXfuNO/1yXRPpTTCcv2WXT+Vu1t9QYsN/J5xf3cpyb7fdvfJ+S6J0ACjiBKwNLNZuihW8Ct2e4s+CFmn0U4i5t731+Gqx/9okxXKV1Hi1kSvKLamc8mhJvo73boBV8ze9m5clkUVUUskQDnhm8+HQG0pjJ4b3mD/VyNxXDfpfvjm4c5w1yCwuDEuMsvb2f/nV+AcfM9+uZhozH7l8djiJX75nRWohc+CEN2XDt6ENxZScTNvzUfNsGeMc5XwCk+g7C2Jq8Llklmvz+qauuQqAxulB18Luk+ifk7cH6f7UL7AE61CiAcOs6/TxmQrUIZ1BRauEZyoSggeghldSJmV8Hc73dvRLjq/Fm1rSWwUfivX5hvPz5z72E5HUMBN3jexaPcPfh6V5sDXr+iWvLf7xuHjrZ7v0XhoqkjAZjfQ0THUVYBZzlw7pDfoLYDpUZ24ETUiXwtq7Z1XF/HjoQEHEHkyYX3foLLH5xuP1+6uQkfWyFDbWkdac3/xzumMDs0KOjL9uaXF+Gldojn3rZuNQCgsqbWsVwIOG4lLYvwPtUj4GL2TH1Q8ZOezHcfn2mGvknVI4MqNvYKKFIgwr2EA5dSnAPnKt2c8WaMOQo8yA5cqkR1BWSROWTX8iatd1UqDPNzoKsJJFQFcZWhOZWvgPMK7nnveoXG4mkfeJblS5DQFwWLnvrN9Vg9d7ZnP7nlQBAiD/OcfbOO4uQRvbHotyfiqN2Ci3IIsWEEuPqrrdLmcjNsICv4olRbvdASHFubS18deNmWZhxx67v429tLPevWbG/FI5+Y37tn7zMclXE1cshb07YtWPLZx2jesT3ytWR78Jn/HyflEQHAXlK+m13Fs4AkQdG6obMViOkJTBqefQ9zVWCNyrXHePPbbQEnhd3+82v7leR8UfBz4GTxWO5edJ2VnvmqCaIIpi3fhrekHjo7pORttwMnuPzQ0Zg0vJcdipBvrkGpef3uOwAAFT4C7vnZ6zF9hRn6qagqdrZlHM2bAVPQ2b3hAhoP92RemL0eCjdgSF+xfg27AWDHhvW+y+0cODEodY1pD93u38DVUVggWRp31OnA0UDNj+OPPwKbEgNw5MWma11fGUdjMr/CDn73SEV1DQaOGutYJnq1FQNzhdoKZIH25n1/9+wXRcBVW21V3FV35eI9foh7Nygqe6vVM3PxpibH8r+/YwqmKAJEhGkCCHTKCmWdFVlx7/veRuH3f7jCfiz3fwPM34coyBVIc+F24NziVnY5dWviTi3gd0kc352XSJQfeSK4ZA6cz4fPT8ANqm+/sEW/HDjZvc430qG7QAKOIIpEfLnVVcTQlvYXcImYgoqYKjlwnWMQXFFd43i+ensLrn18Jr7+gJljtXJ7EpN//TpmrXUOmCpqahytBQgvDNzhwAWFM65zVRjM7m9Saf1ozqvf3bG+0nJ8pr/wDN556J/Sftkf4LYCqyC6kXPgCH/GjRiIP/77XzhgipmTWF8VR1OeAtpPwLU1NaKy1jnRMnTC7p7t8kU+16aVWUcr13sdJYQyH0dMRswNBDlw9VX+LvaXm8wQ9igTYzWJ7Ocw3/cnF+K6W3z6/8mCSf67rLzlFNx4avj7uZeVc7ht7erI1yIcOHFN7r+pfD1R++j5ISZ05MbgRPsgjzVKJeDkNjRPTjfvt5SeFXDi3pXFXLnxc+Dk19uc0jBv3U7Pft0dEnAEUSDiy1MIuHGDah0O3PG7Z2fJF21oREVcsXPg0lq0gXUyo5c1ObyqzmwofeZ1vwIAXPuYmX+ncitXb6cpEuasdwq4un4DJAFHDpwHzqGAg0sdmfzymwCgur6Xc0G9OTsvQijFoPXjPgc6NqtRzUHX+488gC9efs5evvqLT+3HopH0cbsX59gUU66+p1JfGUNjW/EO3KfPPuVo5F3Tuw+O++bVnu3yRT7XxEOOsB/nas4e1lD6Ny8swKjrXipYwIl7vlAvJ5fDBwA1kgO3vbW0k09h190kubFRc98E4w84BADwxSvPR95nfYP5uyHCNt2aWJcWJDM6GIvW1iCIuet2ltzRJMKRK17n+1kL4oL9R9iPH/3UvHfkHDhxnvas/NjQlv2cBjnKp/7tw3a7ns4CCTiCKBBh26esL7e+1Qk0JTX85gWzqeRJew22t31n8RYkVMXeNldZ96emrwEAXPXIDBz4+7dKfu3xyirse8pX7MHYsm1mbsmUxjkAsu5O3HLoUq6vipo+feyZ+gwJOA+KVerfYAoaYqZIDqr+cbyrJHt9TRX61SRw1j7DAAB9ahL2/i8NzDZunjjQW7ji8xeesR9XnPdT+z4rtoF8gtpG5E19VSEhlP7iSBZww3bboySCWq5CWdd/gP04JjlwtX39W19wzvH4Z6s9xUQe+MgMExTiIH8BZ/4f5MAN6x1erKUigisginkAwPaW0n53hVXklUOP8y2/PmKPSQCACQcfFnkfIaLF38x9ZbID15bWUZVHTl4QxbYrIfLDL9qnWOR7U+RJCgFXEVNskV5fWZoCWVFYY+W+uq+vp0MCjiAisGB9I07724dolgYsoneOyGsTlr5oclklzQZffMBIVMRV+4uwLR3+xfuTp+dg9bZWvLN4i3Wu0n5R65m0MxTKCvXbtcXM3RAFGRLVZuhWKlHn2L+md59sDhyFUHoQDqbOVOT6uXE36I2rDDNuPA4jrDLguw+pt9cl1ezgmhnee+K9Rx4AAGxJ9IfWa5D9A19seM2AUeVpENudqa+MF+DA+b9PhqFDtdoUBImqfJEdODlsMlGVFUnuhuKCz1Zsx8+emYvrnpnru/4jq31Kvn3X+taY1+EuuCG45uhxvssFUQTcflKJ/O0tzvfnhdnr8dbCTTmPEYTPR9JmVL9suHq+DpyiqgBjMPKo+CsE2i1n7wXAx4GTBFxS0yO5l0GMsfr3tfqEjhLlQ3y/y5MSpUDksIoJGjkHbi+rcEpQOHM5uPxQ+v3xgwQcQUTgD68uwtx1O/Gx1NctY/1ap6xZx4sPHOnYR/5BPGuf4aiIyQ6c84fYb+ZWDnHZ3FS6mWJD12HouiNUSueuZtGWAEkkzG1SrsqaNb37UhGTEMTfT2MxLK8eBcBb8dPeNkdOkdywVEf2nuKG7ujXJ7OuejhSmmGH2CQiNAwOwy0yidzUV8WwzadkeygBBo6h69hlryk49fs/xWEXXlrUdQ0aY4oguYiJXKSmz+ChOOeG3/nuO2y3PQAASet77IXZ/gV4Hv/MjCDId7K8b00C0284Fj850b/SadhEhKqwSGXNY6qC5642QxJ3tKRhGByjrnsJv395Ib77+Exc/tDn+V20hBai4FrT2e/8/HMDGWKxOLRM9AkBMbgXIaPD+zjdy9XbW+2BeTJj2Lm2hfAdq3F4Ty0m0VFkNAMn7jEYH193dEmP++6PjkR1QkWjlSOalnLg/nXZ/njqyoPK2rbATVC+3R0X7o3/O3a8/byth00gkIAjiAiI5G456V3Mrosvt10H1mFUv2xfNdmBq4gpSMgCzvVFs2RzMw655W3HMnmG9GDXumLQrUGAGpcFnHMbxeoxFo8LAZe93j2POg6DxoyjIiYhTGw2Gy/rTMVHfQ/C/j+73c43dOPOKVJdDbITMQU/OG68dTznV/asN162H8uTAEyNIa0ZtnNbijLLZ133K1z421uLPk5PYUBtBRpaM9jWHH2CIygEb/OKZeCGgQkHHVZwHzbB2Tf8Fhf8+o+ecLmLbroN5//yFsQSCewyaYpD4AHAboccgQt+/QcA0UvGFxJSN6CuoqB8nqo8HKQxA0zHaGdbBi2WsLrn/eVhu0QiJeU2b2505i7Lf4teBbgXajzu21g9CPG7VGcJuGuOHofz9xvh2OYf7y6zr60YB044NuTAtS9pnaNvbQLVidKGMw6sr8TU0X3x2YrtyOiGLfTjqoLe1Qm7p2N7EVRc5/TJQx2tFLbm8V3bHSABRxAREAOKjdKP8vXPzAPgDC+QZ6WqEk4BZzpw5g+c+4fu5/+bh3UN/k2/BS/NKU1/OM0aBMRkAeeaOFYsK+BNK4QzpRk4/QfX45wbfocTvv09c0Y4QTlwQRy6fRoAwIACzhT0HRDcvFgWcAeefQFO/8H1nm2uOtIsI2+w7D21ZfVKbF210n5u6JKrawk44cCVom3F6L33w9DxE4s+Tk9hFytkriWvXnDBOVTpZGmKGVXV1mHYbt6qh0PGTcDw3fe0n4cVM5G/m8LyvvrVlK966cQhzgmRfASImNDQDI6nZ6wt2TXJxamm3uzMXc7oHLUVMdx18T7Ye2T+jrYaj0NPRxdwInxV/A7FVQUnSnnZAPDvT1YCMKNIihFwQjzLLiPhz7ItzZ7f9kLJ6EZRhWfCmDS8N5pTGna0pn3bCLQnYROQ8jirp+VgkoAjiBxkdAOvzTfzIm59bbG9fOHGRgBOAbdkc7O9Xp4RttsIBBQx+WyFt0Fr0lUC/urHvsDKrS3FvBQA/g5cWgrNqdWabAduzvpm61p07HrAwdhl0hR7O5E3s2Jm4SFH3R3OcpdclgtXHHLeV317fImJAeYa4BtG9j5atyjbjqApA/z7k1Uly4Ej8ke85/kM1oQWivsUjQkKly0XbmdYPr9cJv/u97zO1Ul7DkZCVTC4V+mL33x2wzEAgGuOGoejpabgiTwmKcSEnG4Y+JVVdErmb28twRJXr7kopEKqCxsGR02FipP3GpL3cQEg1dKMjcuWRN7+t1/ZE5VxBf1rsyLa3Sdva3Maa7a34s2Fm7FmR6v7EJERg+ieNoDOl51tGRxz23v42dP+uaP5ktGNvPMpo7KLlYPdltYxb71Zor9cYjEXYSkAcluQqNW9uwv0q04QOVi4odF3ubuNgPvLrZeUWJywQijTmgHOOZIZPWcVJ7+B35F/ehfrv1yILz/1b+IcBVvASTPsqebsYIWDgVlVFLkVspf2KaIielMt+ui9gq+lOyJXBhs4cTKO330QRvatDtw+auW3qriKc/Ye6ljWd1g2JOo/v806d7rl1IkqiCTg2p8KW8DlMagQ1Rt9SvXLYr09UKxrEBMKY/edaq9rlYo5PfrpKs++r8zb6PudUQoG1lVi5S2n4JRJQ/CdI7MNzvOpoJgVcP7rb3vjSxz3l/fzvraw91rnPHLoqe/+mobNK70NwgFgw9LFuO38U9GwMRulcfrkoVj025Mczppf6OYr88x9iumJJyYre1oOUr6Iv89Hy7bm2DIaGd1AvEyumAiLXb61Bc/NMnNdO0rARXXgyvWd01mhX3WCyEHQl0cyY6A5paEto0NhZpx2tfRl0lcqPpFQFXtAl9YNtKZ17D+qLz67/pjA86YCmjA/fuOP8cKff1/ISwEAO49CduBiI51FA4QDZ1hfEW43EPB3CQigLWW5mWoMD3/nKNz7tf2KCk8SLPztifjRuYeiuldve1lQRUIh4LY3m/mJ5ZqlJYJJFCDguOWwVtaZVV8ra7PVX+VWAu2BEJEDdhmNax/6LyYedpS9Tg4Bb051XNjcfqP6OkRcVMTHQQ8J/yyEZVuaA9cZnBddpj+IBe+bOdIrZoVHQwysd4a07tKvGloJerdVkwMXibAiN/nCOUdG52WbnKu1Jpi//q/p9rKOKuEf9vtZU5FdlyEHjiAImWRICNTD01Zic1MKA+oqwBjDeVaSeEJVHBXRKuKqY0a+LaOjMqFiYH0lJgyq8z32J8v9S3gXi28RE7k8PXhWwFkO3OYm//ybWKIC/UeOKst1dlWaWsxQpLpDTiv5gC1eWYmr7n3Efh4UVicEnKiCSA5c+yMa3eYTQhmzXPGhu+6Gb/7tfux/+tn2Ot7eAs76flBicU/fOTnXSTg3D09b2W7XJjO6f03ujVwwxqAwM6xxn5G9S3Idmm7gMavxsWCTlDNtGLxkzZYXfvAOVs7+ArrVVkCI7bf/dQ/Wf7kocD+5zcKw3lVYta0Vf3x1ceD2Uam0c+BIwIWRlxufA7vCcAnym/2YMNh/XNIRhIViV8ez0Qrn3/sJrn7si/a4pE4B/aoTRA6S1o+SXxPZuKKgKZmxQ1OE0+GumpRQFVRYP3JpzUBbWke19TweEN8tqqIdI+V5lAK/EMq0pmNNpdk4WuE824ja+ooICo0ZsusEVFTnP4DqrjRt34rV88xm6Imq4LDJUpFLwAnhHVTFiygfwoHLJy9j1OR9cOgFX8NRX78SvQYOcrb6aG8BZ+Vm+oVzyjlwolrux0vLM+GUCzmEKh9UhWHWmgZ8sbqhJNfR4vMdKU/C6Tz/9gF+ZFJJvHznbXj65l/gk2eeAODMo338xh8FFpaRJ3LcRbOKwXbgSMCFEhRVUwjCzSvX5Fz/MhYgKiXuz3+pir11BUjAEUQO/vS6OUM5oq9XwFXGzdYAYrZduG7uL5W4ylBhrVu0oQktKc1RHSwM0cenFDzw/Svw5v3/AOAcmGV0jgV1ZhilAgM1uukiJdVKJGJK4MyqoqrO6ocdgKYbeHPBptBqeO3Ffddcjo/vNkvtV1aXT8CJMMpX7/qL7/rvHW++l28u2AwAkfpjEaWlkBw4pig44Mzz7J6BSszZ9689Ed8PfgKuLa3b+TCHjx8AABg/yL/PYbnJp32AjMIYPlwanos0a01D5ONpPvk3fWuyYfSGwfPuiyczeu/9AABtjdmc7B3r1wHwvkepFv9iV6WoRusHFTGJRqmqTwJAxurNWi4B11HhkkHcceHeuO4kb3/IjqqM2Rnoua+cICIiZmjH+4Q6VsRVpDXDHqwJp8Mt4BhjqIib23z1/k/RmNRsUZTrC7gyXrqP6Y4N67FpuVnJzFGFUjdst41xA5V6EmkWQ0aJo091HK1p3bdEtCng2jfu/KU5G/C81ED4rneX4ZsPf453v9zSrtfhh5ynVFlTPmdyzyOPDV0/YVA9+lTH7aRucuDaH/G5LaYymjwwb+8cOMVy//wEXGtaQ9+aBKaM6G1PnPg5UO1BH0skGXlO4ETJC523bmfk4/nlksmL9CJDKEfsvhcAoHlHtmJxXX9TPMsOHGC6dH64q1DKvPjdQwu+tsoYhVBGoZQhlPZ3ezsJmK8fMqpdzhPE6ZOH4ttH+Oe7/uX8ye18NZ0DEnAEEYFjJw70nemtsCpLilkgUfCkIua/rUxDq6gQ6PxRX/ibEx3Ph/fJOjl9qvNvABuEHJ6VzOjg1rUr4BjRu8LuOTZuoDmzvma7N+SmIxy4qx/7Atc+PtN+vnq76RZuaepc/eiqyyjg1HjuZs71UsW5UjTyJvIjoYocuMIHbVoqe09rmeg9wEqBEG6KnwOXMVCdUO0IBAD4KIebVS6G9zEjI/bOM5ctisOg5JHDmvGZyJLFu855XsdzIybcWhqyAk704hS5cPZ52/xbAgS95pF9q7HnsF6+66KgKAxVcRVJcuBCEZ8VhhKE0uqi+nX5Judm/Dw7USgXZets7DuyfRuLdxboV50gQuCcgzFgt8H1dtIwAPSvNb/MdIMjJQs4VeTAeT9a1QnnQCibL+fc1u3eiRDKI8YP8BWG+bwWGdmB29yYQm2l+ZoO2v4phvdKQLcKmIgcFz8nQVHUdncG3HQWb6m10TlbX04BF0v4/5gOHG3OUHJwR8lncuDaH+G4FxM2JX9GDz7noqKvKR96Dzb7lbkbes9duxPNyQwq4yriqmL3sFy00dk37cZTvc3Cy8HAuko8ccWB+M0Ze+beWCKKG8ZDGqu7eejjlQCA/Uf1wY+OHw/A+d4XW8QkZk3atOzYYS+b9/ZrAICNy750bJuv2L/v0v0Kvi5BVUKlRt45uPSBz0p2rPbo8dmvtgIvfvdQnDFlKC7rYAcujJ4aRtkzXzVBRCSlGeDc/HF64KMV9vLHv3UgAEDTuW8Ipd+sWJ2r75v4Mc/ljohQrLjKivqi0jJpx/OYNDhsTmuoqjCfj25bheTcj1Cjm47b8bsPBgDfRq+KqsJoxwbDM1Z5G57bk9o5xlrJjO47S14q2pqc/QLr6sqXE+QeVAvq+1sFb7izvHS5ypcTwQgBXUwI5XArbK73oCGYdOyJObYuLWKSoHHzJnvZqm0tOO3OD/HO4i2oSqj4YInpuvl9LvN1xIrhwDH9HA2ro+DXk+0IK59PUF8ZPeLhnx+Yvw+XHDQKFx2wCwBg485sKKPOixNwfg6cCKdcNWemY9uwiqXXnbQbnvnOwY5lfv3h8qUqrjpCKDnneHjayg5tM9FZ2diYLPq3qD0EHADsOawXbr9gb9Tl8Vlob0jAEQThQeQ1JFTFkaQv8i5a0xrSuoGEKGKiCLHl/Wi5vwBFOEuusMgT9xiMYycOxM9P2R0D2zYW+Eqc4ViAUwRougEe95bqveLwMdhjaD0A4DuPesvzxioqkElGr2a2Y+N6rJw1I/L2brY0pT3LRGjr1pbwEMrdbnwVu97wiv38uVnrMGdtQ8HX4ibV4uwBVVNGARdL+N8zYpDHmNJjf9Q6C1kHrogcOCu3qT0nSQRNW82cUqZmXf+tzdnPmBxS7tcnsiZRuuJL5cBPTI0d4PzMFlIgRWUMfWsSqKuIYe2O7HejbhQZQmmFsjZLDhwAtDTs8Gwbdr98+4ix2GdkH1x9VDafqBQNmqsSzhDKD5ZsxS+em4/fvrCg6GN3B9wRMNtbvL9l+ZC2i5jQ5FxP/RvQLzxBhCAqi6kKww2nmCFBB47pi77VCSRiCjbsTCKV0T0OnBBwvz9rL1xlNZqtdzlwfS3hNqJvNsdNVC373Vf2dCy779L9Map/DQ5a8Ki9fM5br+b3WtLOHww5PEvTOTJV3hyIQfWVoUKgqq4eyaamyBUgX7/nDjz9+18iky4sX012Mb/3xEykNB39rJn3xrZoM70Z3cDGnUl874lZOP3Oj0oW9pNsdgq4XQb1ibzvSdf8ECd/90eRtw/KgTv6siuw90mnYcy+U+1B2flWb0KifSmFA6dY4imoXUQ5ESJgjyOOsZfJEygrtrZg6igz9yStGVAYMHl49jtkVP/yt9Eohnof16nCVTAqauNlWbgIjda/rsLuwwiYRVaKcuAsR9Q9UbTwg3c820a5X44Yn21PU4pCGNUJpwMnHm9vLU6ohDFj1Q7s/otXsa25c+U/+yGnYABAsUWT28uB6wr01MnKnvmqCSIi4ks3rjI75EZhDIrCUF8ZQ3NKOHAiB84SctbzC6eOxE9PNEvfCgeuMq7g56dMxE+tkrjiR72uIoanrzJDW756oBmCMzi5MbBIyBv33om1i+ajcWu06osZjwMntREwOJSYVxRcetAu6B2SvFxVVw8tkw6seuZm7YJ55vmS0bZ3I//oPTdrPT5dvh33Wv3yooak7GhNO3JTpq/0zmAXQrLZmQMUD3DJ/Nj9sKMw8dAjI28vi2+Z6l69cfRlV0KNxex7srOVg+4pxFQFqsJKkgNXVVdfqsuKzG6HHAEA6Dt0mL1MduDWNbTht9ZEU2MyA4M783eLyddtD5ZtafYsEx8VIb7dg243LSkNo657CZN+/bq9THzaEqqCjCTeMzqPVPkyCNHkfclnHzuWV/rcG0aElhOyGVhoKwbHdcTVdu8Dd+/7y9Ca1vHpCm8Ib2dDbuoOAI99tjpgy2iQgMsSVl21O9MzXzVBREQU8FAVBToXj81fvsq4isakhq3NaayxKiGKH2i/HLjKuIIrDx+Dp648CN88bIxd1ESE1Vx0wEiM7p8tfPGnQ6px7oZn8cUrLwRe35O//Cke/MFVkV6LO9RRFgG6YYD5VJuLqQpG9QueSa+qNwcPba4CHvleS1TSrtyOREyxcyyiDpRTGcNR8rtUieVpSZQ2q+Vtbh4LEHAywg0uZtBIFIducLy7uPD2FjW9++D4K6/FV356YwmvKhp7Hnksrv330+g1cLC9zF3pVdxj4jPYlQaTfg6ImAMSTlxbRg+NLnj001UA/F3WmMqQ0Q28Om8j0prhqFZcCO5Jm/1PPxtqPG4Xkart289eF8WBk6sil6LBeHVCdfSBa4+027gttNvfoc6Xqx51pg68ILXCKYTs5HLX+cyVi546SUnvPEGEIH4YYiqzc9V2HWj2g6uKq1i0wSxcIUpoiy9Tvy9Vxhh+dvJETBre27Xc/N89TBiXMEXhjg3rwq8xlcS7D/8z52tx50qIHLiPl27FR0u3IQXnLOwPHn/evu4gKqpNoZJuy0+QpVr9y1znwj1QkgdEj3yyGjNXe9201dta8dr8bO5gMqM7ZoqH9PLm/hWC7EJ+WTuuJMcMIhahjYD425RicEYURkxhRReI2Ovo41HXt3+Jrig/4glnYRA5b+fiA0ba33M728yqhyLv7bjdB7XTFRaO/L7sPsSciDp3v+EAgB+fMAEA8JP/zsGdby8NPEZb2iscxPdlXFUwa00Dvv3IDPziuXmmgCtisO0Om1bjceiZDNYuNKMajr/yWjuqIkplYPfvULG4QygFciGXUvPinA0AcjulnYENDc6/Q7Ffy3YbgRh9v/dUSMARRAjCgYspDJOG98Yjlx+A66zQx6qEih1WL7e/XrA3gGzZ6XxmxcQEryG5QmsXzMNbD/zDuUEIM156LvwchuGpkih+7C+671MAwLz1zhBAFhCW8M6izZh605toTWv2AM8dnhlEbT9zILptzapI27vZ0uzMp3D/dJ1518dwc9xf3sOV/87OfiYzhsOtO3LCAM8+hSBcxf8NPhXT+hxQkmMGEa90is59Tz0T3/jrPY5lotcQCbiO46Cx/bpVbyy5ouCh4/rbkwQ7re/Bw8b3xyUH7oKbzsyvpH9H8PYPj7Af//jECVh5yykYO6AWK285BZdYIewA8NSMNYHHqK30Ri2I+a5kRrdz4BZuaHSE2heE63dAt1oFiBy4QWPG4fxf/cHcNGLu3lNXHoS7v7pP4dckERRCOTePZuiF8tmKbcjoBjK6gcZk+/ZLjIpwiXa1+qoevdvAsM0dbG9Je14XhVAGEzUnv6vTuctEEUQHI5LYRW7bobtmZ8Ir46qdE9LfKj6i6c4wyyiITeUwgBWzs4Jj7tuvw9ANHHfF1QW8AuDLTU34+NbrPKLJLdCMkO+8bx02Go9+asbs//x/87C5KYV1O9pQWWEKuE+efhxn/ezXOa+leZvpVO7YmH/4yMdLt+LG/81zLIsy8+quApjUdEcomF8FvULIpFLQmIo1VSMcxRzKQaIqG9aqqCqOvORyzzavWq6j36w40T58snwbMjrH+oY2DO1d1dGXUzRfSA63ojA7PLfBEnD9airw26/s4rtvZ6NfbQWeuvIgDKircISuA9HbblTGfSItrP/lvniz15oiprWIkvruIlQrXa0D1FjM/k6PkgMHAFNHl64BsjuEsj156vO16FUVx+rtrXht/iasvOWUDrmOMI7bfRAe+3Q17r90fxx+6zt5fR/s89s3UJNQMf832VYidnRQD83/CkMzeI+oTEnvPEGEIHKl4j6CTE78Fs22xWyYFqaGXFwwdSRO3mswvnXYGHuZO3Rp/ntvYvXc2TDUOBbVjo987M2NSRz/l/c94m3knpN9t//qLbf7LlcVxX5N4vcimTHsUL4Vs2bYg4a1i+Zjw5LFodcV1bEDgNfmb8ST01djjs9Mrl8hAjfuQdZnK7Y7WiKUKvE+k0wiw8ywrBP2HJxj6+IQoasAMHbfcLdve472CkT5EBMMC9Y35tiy8/PZiu1YtS0b+qwyZhdramgzxUVNRecuXOJm6ui+HvGWDzc8Oy/3RhLriwgn7DdipON5otIpABRFtauWdkTbiSrJgXt13kbH3+bJ6cUV7IjCgg2NeG2+2bOwMzowFTEFdZUx9KkxfyP0PMYIANDi+p0SE5N+kwg9na6QE1kK6J0niBDCHDWngDMfD6w3hdfQPPKqelXFcdfF+2JAXVa0ffTUI57tFk/7EIqeQWOsDtrEQ32PtWPjesfsq/tLX7DX0cd7ls351fEYuMto3+1jCrNbKgiR2pzS0H9Edra9rdEcpD75y5/isZ//0PMa5B9V92xyGFf+ewZ++vRc30ppP3tmrmfZXe+aOStz1jbgoY9X2qGEgltfc4rLV+cX3ltPJpNKIsNMIV+Kvkph1PfPhn0GtR+462IzNKrYfkNE8VSWoMpfR7PcNVmiKsyu/iYGztWdvPdbe1Cu97q2T1/0HzkKgOnAV1Q7i0sxVbUduLBG3uWiKhFDW0ZHQ2sa335khqNi6U+f9n5Plxr5ez6fCdT2YOXWFny6fDsqYqrtmMmTOoVMIop95MqvPRk57LmY1i1dCRJwBBGC7cD5DMhXbmuxHwsH7uCx/XHPJfviB8dHd8miMv+9NwEAGRbHxoknetbv3LwJD3zvCnz0ZFY4+X2R/fDJF+0S4XIPtPrKeGDem6owGNzM0xPipDWtOXKx3GX0P3n6CQBAqtX8O8ntELSIfeCWbs4eM+oP1R9fXYymZAan3/kRfvn8/HYJ6zF0HQvefxsV3BRL5e5LwxQF5/3iZpxy7Y8RS/gXNBkzwHQW9hkZvR8dUVr+fflUANH7iXVm3ENiVWGe+7yrOXBRCHrr/Fyeyw4ehcOsMPu/nj+l5NeiKObf99wbb4KiOsWyqqqIV5jfx/kWlSoFYoJtym/eaPdzu3GHzXckmxqTOPJP72LBhkYoLDsZ/MxMszjZl5uaMPEXrwZWpQxy6sTvWilaQHQHfnPGHrjxVLNXb5ocOIIg5EbebmSbXgg4ADhhj8FF9UDKlb+gsRg45/aPtWDbOjNMZfYbL9vLcokXOU8jDJESktYNhwMn4y6SAgDLv5iOO79+PtYumu9w3aKGUB775/ftx2E/VO5WBxf989NIxxcYBc7YtjbuxG3nn4qHf/L/7J13eBRVF8bf2b6b3kMISQgEQgm9hd6ldwRpoqgoIEUUGygKKvqJIooiRQGpSkeQ3nsndEhCSO99k+3z/TE7szO7s+kJgczveXiYuXNn9u5md+aee855z7sAALmJeo9dQypGGKUo6jRpxhjifIT6OmP72+GMop5A1eNpLjJf1fWx2JAkiaErzuHgnaQyX+Pkw1SOt3tih0CE1/OwuS86vIAeuIRsfmOIL7rh7W71mPy5xn629dl+GtuiXGMRme+9JqMRzXpzF/EIkQgqFyr3tqCUZV0qAldV+dRWS4u1Ac1OW6xOHhh2/bcCndGmrAvtiTtkJxLkagx/jTv62f4iePcrAoIg4GSeh2krKK+9uiMYcAICRUDnsEh4EmIdWUZbRU5caHUxexhEEphIQGYVQrNrCSUiolWrcWnX3wDMCmBF5APcNT88Nr1hyaMa+fEXNoqGB+9QD5c3N1xlVt3VWuoBElFvAADgyt4dNtePvRsBAEh69ADH1v5meQ8l9MCxSYm4AgcD5c37e2o4Otaz1D2yzjkrqfLZ1K5U3mFZV2wzE+MBABnxlhyPQc1qIagceTUVSZsgd0aAR6DqUZm9xs9K3AEAMtQ63IrLxpxtt8p8jW8OPGC290zvhEXDmvJGJbAXsp53BoRZ7il8NSazC2xDk9kGLa02yIYuV1BW6rcNB0CFU9Zt0Rp1GocBoBQoATCLeqXJMa4o6vO8XzZrzkTjdrzlvpyp1mH9+Zgy56sV5WVJtGN0PwvYa4P5WoNNzTJ632Tnc6BLdFij0RlBENx6fjUdd7OYXEYNSRsQ/vICAkVgKSNg+1NhT4wrQqrdZDLCZDTCqC9aqUxPSKiaQkr7BbbPbt0AAFiw+w4UJvuJ89aqjgAQ1KI13GrV5u1/Mzabea/HH6QCAC7rKW9T9PUrNv3p1WiSJHH/7EnLeyhignEvMReRqdx8GxFpRM6/qzEiaTcASnygfV2LARfq68R4O0oDXQOurBNsvlyTF9ELIVA2aK9xRSqBZqp1iM0oeR3FLPNkpjy5MkbW5LJeERN11QuUj8MWN2k4/yC2X4vnHOfzqrK9UARBIOrrAZx6cyE+TuUaU7uho/D273/B2YuSoI+7R3lFferWZ15TJBZzwtWrCieekgpsFu+/j8G/nGX23/7rGj7fexexmaWrCWoykUjP19osuhEEgdpmZcffTkUhKad6GHEGHkMz2MuBMebF5mdkcaGS1n0KdEYopeISK6bWBDwcKQMuSzDgBAQE9EwZAdubpHUoRHn5acJI/DhuKMebAwAjP/mSs28gJNAYjJAri5Yhpotl+2nsi3TQk4t6XkWvnoabvV2eTnLmwXn0PiVcUCi2b0g+PH8GgG1doqJETAYsP4PeP5xiaksBgJikHmKuBkuYJnuyKBWLOEnz1jThCWcCLOEnZa3VZbDylqYoawlJ5QIM9HehIkMoWy06gq7/O8E7MeSD9lSURcwmX2vA+ah0zoKKyipky9/Nch96kbwBs3o14JQDef8frgeTr4SJtVdSLCKYSWVFQIhEcHC1zWnNz7aE2YnEkhIV8q5oXJWle59PzDnkpQ13XHk6Cm0WH8XX++9z2glYFBn3RyRhfCnD6CsLvsWbYNbiAJ0fazQBX+2/hz/OPuH0ZYcDPkm3/A4L9UYh/80K+n77ItXeLIoX524rIFAJGI10GQHbn0pFF9CkV03vnj4GAOj9xjS8s2ojgppzC60aRBK4KqXoPPbVIq/38MJpSE06yIvwwHWu74kQb0f4FqOa+cmARmhcyxkysQi5rJCORylUDt1jh3oAgKv7dnLOy8tIA2CVr0AQMFh54Pjy/u4kWsJtJKRlRXlce0pOmx2maO9v8e3IMPw9NRx7Z3TG46/62xwvvwHHnRTv9B74QnkhBMoHrcponS9aEZQ07JdtaJTme34lJhNNPz9kk09qHQJ29sOezPaL5A2QSUTwd+MuTm29bFlcK6kwDV0eZu+MThU3ODOjF3wFAAgN78K0icRimAxV74Er7hlC8yRdzTw3APtKyfY4YY782HqFW2DdQS7mhPBGp6urxUSeLRTmaTbm5RIxE5ZLG3hGkwmrzzzBl//e43iQ0lgLk4U6y3euUG8U8t+sUEiefch6VSIYcAICRUA/pPlCJOm270Y2K/fraPItK2t0DpyLty9ULq42fR0dVFBIxQhs1qLIax5Z9QuGZJ2A1ERdb4/PQLy69FdOH4PJVKLwT6lYhPrejtAZTZzJaN8fKZERFz1lbJ3a+Afv+WwPnMLRCXpWDlxMxA38+MpQpERHcs4Zv8YycZSwDLyZPUMAAN6ssgv2vKG1XJRoV9edkjy3MvIufNyTeQDau+EX6oyYvum6XSEDI8uTmC92gEEkfaHygATKh1hEJdbnaorOay0pbLGdkhtwln5FeamtuRmbXeK+EzoEYG6filfefdY4K7nCHB+xhFz23uSqBv7wMn9tzVfaBSBmyUA083et8PEFNG2O97buQ6MuPZg2g04LdXZWEWc9W3p8fxJ9fzyNtDzqu8g2cEqCvcLVOoOJk5cOAFsux/L2rUrYHrjXO1NleuRSETRmzxotDsSOoHxn0zVm+wpLxIT9nIrPKhQWC62weOAEERMBgRqPpYyArYFAt1k/5MvCiiljme17p48DgN08NJFUZhN20rL/YN6+noYsyEhq8hivrI3ND7kTOKOJ5A0P5UMqFkFnMCFfY/vAPe7Zvchz9VqLF1CuVHI8cLG3bwIAYm5dtz6Nge2Bo8drrfL2zYgwm/OsHQI73glntmu5KJmQG3s3/Pm772D/7SQs/vce73F2CKVeRE0ehLAWATbOSilyCyvGI8I22uh7wMaLTznlNqzRs8557U/bPFV7WHvaimLxsDC82yukxP2fF/gENlLzqHvZGnOo27IxLbD97XCMaOVfpWOjsfZ6moxGPLxw5pmMhY/5AxsVebxAWzpvib3n1dH7qTgflcFpe9b+4CsxmXhqzle9saAPpnWnchUpDxz3mcM2ztj1FPM1BuaZQodQno9Mx+UnmXhslSte0yluQfZFQzDgBASKoKhC3u90rw+lVIy2QWWvs5X46D5uHfmP95jCkT8vTSSVQWuV/6In+I1IEoDUpIcRIpgIMX448ohz3GAiIbazommNTEJAozeiUG+Em5VktEbEFRChVdFo5CpLuKOLtw/HAyd3oN6nRp2PmHQ1rJGKCSYHjtoXMf+vfbUNAKB5HVcMbeFX7HtoHejO2S8uhHLHdbPKpJ38IaOe64GjxysgQOMgF0NdQSGUbDXElaeikJGvxfzdd9D7h9McT5vJRCLKXHibrdZnPeHL0+iRnMMfYr3IzqJFTWKK2WPCZsBPZzHoZ4uBJJOI0CbI3abfs4YkyWeSC2dNcXmRBaWcbMusIinqFqH4+ywLyyfnaDB65QX8dOwxXJRSuDlYcgQVUpGNsuljVlhpQ1+L2E2h3ogQH+oZST+HSqqyXNOwLMg+++99VSAYcAICRXA+Kh0Af45V60A33F/UDx5lUD+k2bLgAxxds4L3mEjC//ARyVVMYvOAdz/ATecw/HMrlbevQaKAs9gIk8Ty8Ehl1aUxGMkSi7HIxCJkm/PfrL1MRsKy32vKNJtVYbpGXFCL1vCuW59TRkBhNuC06ny8vt7WQ/D96OYcDxzbQOrVyAcxSwbC01EOlUzCKS3QwMcRnet72lzvxoI+uL6gD+d9aPRGfL7nDpYefsj73vlUrfIzM3B0jSUkVW024HJ5PJQCNRcHuQTqUoaJ2YPtKV53PgatFx9l9r9iiTr0/uEUei09hUcpebxiGzRDfzmHDt8cs2lny73XZEJ8nBCzZCAnfzY9X4s7CRYxpepUc4zNzm8+x4/jhhZbV7Qi+Xq4bRSEdbF3awpKsLhBkiQTasn2wO2d0QnH59qvhSmXPrspbr7WEp1hHeool4ih1Zs4qpJZLNEutkBRod6IOu5ULib9+y/uM62pyMQiiAjBgCsRBEHEEARxmyCImwRBXOU5ThAEsZwgiEiCICIIgmjFdx0BgerK31cpD0xFlAmwJvpG0eFMYjsGHKFQMqvq9cO74IxHZ2QU8t+wNHIXuMtIODhYVikTWSvuJc2BA6ii3/QDZ1SbOpxjBoI7Vm0B15N2bf9uAEBwyzaQyOQwaLVMeFJqTBQA4M6TZESncc/zc1GgR6g3xwNXlMH5x+S2mNePKlwdVtuVV1TBzUHG1IuxeOBMWH/hKX4+HmnTH+BX8Dv511rO/mNHWsrb7vAEaiCOckmFiZjw1SOjORuZzmxHmz3Z2QX6Ig2MaB6PNwB8b2cho6bm3BQlWFVUPbJnQceXxwOwhKQX5uYW1b1CoQWm2FhHPVijZkQ87C80LDv6GI0/O4R8rYGTA9fM3/Ye36+JpX7f8mOPSzTuyoAdfWutTKyQimzyydlwhId0RjjIxJBLRNCaDRO5pGb+DouDIAgopeIKVf2tzlSEGd+DJMkWJEm24TnWH0CI+d9bAH7j6SMgUCYSswvxy/HHVbICWtI8sdJwcsPaIo+LRLY36dELvoJMKoPOwH3oGUH1bda7H95cwRISMeohJfWQKCwKYcNWnEPHb44hp0BP5cCV0IC79MSSTG1dtFUnliNKRYUbyRQKaNT8E0NHNw9IZJTxRCs4Rhw9CACITUq36T+jZwiUUjHHA0cUUeNIIRXD04HyiJbEkKJDLnZej7c5xp5Q8BXmZiu99fx2PWJUQQgP9sDrnWzDrgRqLg4ySanzfOxRVHI+3yKD0UTaGH1890uT1eTZXthbrRIqDb6IjGjJn5M8qFmtKh5J0VjX2DQaKkZAp6TQn9NXw5tidu8Q1Pd2xKY32tvtX6gz4FFKHup9cgDHzKVprKGl9XMK9YxX7f6X/Zjj7EVItncqKo3/OVQVsI0w64gV2gCLM9fA83HmRvGsOx/DbBeYywUopGLGs1QZ85EXBYVUDE0RC10vEpXthx0KYANJcRGAK0EQ1etuJ1BhFFy9CpPGvmR9RfPdwQf4/vAjnHqUVinXz2HJ5dtTvioPeemlH3dA0+aQS0VMAjQtsmIkzOMjAWdPb6a/SK+FxKiDTMGtGZeYo8H5qHTojCSnIHlRfDGkCbPtKLc1Lg979UJ6aB+EduqGwlz+ECwHNzdI5dTDSm/1XVGYbCegzkoJpGIR5ASrmKm+6AmJybz0WZJHHP1gPfbANgSVrdh37amtqpuJpaxpML/atB71BGlnAQ4qubhKPHDsXFxnc1HlVaejbMQSEnkUVU8+4n7/5azv8J+T2zLblXEffF7gi1QI8XZ8pnlWfOSkco2gompuVgZfjwjDv+92xvj2gZjdm1Im7VTfE0++GYCw2i42/dU6IyLMIbv7I5J4r5ln/v3kawzYeT0BANertWe6pUSDs9Ly92gTWPb89PLCNiKsPdf0wuETswec73OhUWsNUMjEUEhFjDgHne/aJcQ2RaCmo5CKOeUWXmTKezcmARwmCOIaQRBv8RyvDYBdrCPe3CbwgmHMycHTCRMRP+PdKnm9yNR87DbLOLNjzSuS97bdZLYrY8WLnQdWHP6NmzLbMrMaJGCpU2cyG3BGs3fKMyAIACAy6iA26aFQ2Rb9TlfrkJGvhYdDyQqwsr1uDjyTFoNICkWb3hCJxeg7dSbvNRSOzswK8elNfyI3zTJxVJpsPw9nBSWWohJbVjOL+9zoniXywBUREsaud8eHWGw5l/57WCfYCwg4VlIOnDVsQ4IO+TvxMI0Ju6L58xy3UDAAfL73Lmc/iiV20qiWRe21MkLJnxf4yjYYeVQqnzUdRozh7Fe1AaeQitGUxyAhCIJXfKNQZ2Q8vsV5Ts485l/0bFrbhVnAcFZIcfnTXvB3U1Z4rdbSwC7Abb2oR3vg6JxyN5XtM9hoIpGQXQi9kcTFqAyzB87EufbPr7SslLE/zyikIsEDV0I6kSTZClSo5HSCILpaHee72/Pe8QiCeIsgiKsEQVxNS6scj4pA5WEy1zFTX7xYJa+37QqroGoRSfrlge2V4SvkXZk06tydsz/i4y8wdeUGAFSIiI7xwJn/N6tQisXUJG7Sdz9DHtoWpE4DiVEHBx5Fy0N3kpGSq4GPc8nCotiriI4Ky2SxZYArvMw12eg6PGE9+2LWxl1oM3gE5xou3j6McuPdk0exesbrzDGpSQe5UYvQvAeWz8E8eayvt9Rcsl5htoaeUxEl8MGpeLxldOjkn6wwFuq63O+ZypWaMIz94juLAScklwtYoWSFPpUXunYWH7tuJDDiB+yJ68J9lJrkbrOXognP5Dolx3JdkiRxL4nKm3JSSKBiedutS3fUJAp48mqsQ0+rA0on7t+ouIiFZ41aa2C+rwduJ9scZ4f8LmYJ9VhD356dlVJ4OylQx01VZF5dZbMvwvLMOvOYmx5APy83X6LmMW48i6g6gwnJOZS3PLyeJ3MficsswG+nqLxxIdrDFqVMDI2QA1c8JEkmmv9PBbALQDurLvEA2GoH/gASwQNJkqtIkmxDkmQbLy+v8gxL4BlgKqBiuQmRCLrYWGRu2lSpr7f6jGUVuTJu0nqrxPSqXnluP/xlzr5UJoejG5UMLpdYQijp9x7lUBdJgeFID+2NVouO4HpsNq4mqCEz6SEy6CBXKHDMSq3rbGQ69EbSJv7eHsGeFiPQUS5BqFnq+LVOdXHl094AgJ+PRzKlACRSKbpNsBhoszfttivMAgAGsRR9046iT/oJuOqzseXNDsyDrlbqHabf1s/nlWi8JaljxRc+Wmh+SNIPVxprNT+9phBOnl6oHdqY+XsIBpyANfTKOV9NsdIyfbP9WomAZUWf735FF77ny4FrxDLMrsdawoVn9QphvO19Gvtg8bCmNufWFFrUsTV8J4YHVf1AioFW9aUx6LRIjYnG9f/2PqMR2TK1WzBm9KiPQA8VCvTGIkODH7Hk9Wna17UVRqHFZJzMi4sSMQG96dmF0lk/P9jQv8X75oUS9u/1zS5UDrXWYGSeOV0beEIuFUNjMGH+7jvMQo4Q8WGLQiIW6sAVB0EQDgRBONHbAPoCuGPVbS+ASWY1yg4AckiS5A9yFniuMRWa8yrEYjx9dTJSFi22tBWBLj4eBVeuwJidXebXrowwFuvwuaqo7RXWsy9ULq4AwAh92CM2s4ASISHpEEoxtota4IsjT5Cp1uHl3y/AQEggIQ0QGbSQKlWo58VfV44OUywOttdNJZPgv1ldsHFKewy2SuKf8/dN3vNp483en0tEkggqpB56344IQ7i5JABZyofw8Ja1Mbq1P97v26BU59EUaA2cScMr7ag1KI2BmmicfEh5ZrUFBZArKXlnevIgPFAFrKGNez6RkeK4GZeN7IKSn2e9sEMjERGMIcYOBaRraBWyQjwz8i2v90aXYIhFBGKWDMTqSW1q9Ir/293qYdFQSx6wi1LKWyfuWWP97DDo9fjrw5k4sW7VMxqRBVoh8s0uwXj/pYZwVkhRoDUU6aGONQt9sBnc3LbmJ92Pfp5JRMQz9cAVhfVCHx1C+lbXYAR6UL9JncHEfC4KqRgKiQgavZFzbkkWKWsaCqltkfQXlfLMNnwAnCUI4haAywD2kyR5kCCItwmCeNvc5wCAaACRAFYDmFau0QpUW2gPHFlYCEMSZaOXRNAkqncfPJ04CbGvTynza1fGTTqPVcurub8Lrxx9eeBbjQ/t1J0pvCqR2feK0bl/v56MtAkfFZnHaTSRjAEHbSFkZhXKPo19bK7nIC9ZEj57ldBNJQVBEOgc4mnz2dyIzebsv/q/X/DGzxbFzRZ9B/Bfn6U02SbQldk+s2V9icZHo5SJ8b/Rzctcny9fa+B45ugHqlZvwvv/RGDyn1cQm1GAyCsXkB73FDfjsjFzyw0AggdOwJaI+GwAwH93bMPDioIkSQxbcQ59fzwNwH64XpCHitmma2plF+o4BY4NJpJR72NPlulIA/Z9RFNDJj+lRSIWoZaLJZd4UTX2Rg557xMMnvMRAIvaLwAYDRWTi1lWfhjTHP+8HQ5P871ZLhHhxMM0/HDkEQDquWLNtE22XufhPIqg2eY6anRagVgkqrT0iuKITLX1GrKxfk6EeFPRLK0C3JhUBbXOyOS8KSSUCqVWb6ySxeTnGSpCSfDAFQlJktEkSTY3/2tCkuRX5vaVJEmuNG+TJElOJ0myHkmSYSRJ2tSKE3gxoA04NiTLgDOp1UV6UjT37tlNULbmQTK3rk1l3KRzNSwFykrwqpzZvM6mTeHoCJNZhKQ4DxxAPQQMVpM6dp6GQSSBCCQAEkmRVF2nWb1CbK7jWEIDjqZlgGupPhPPgCC4eFsMRwdXfmUwEavgLDvx/mnETZu+tKFbGeRpDJCyjFW6ZpxGb8QVcymFPFZtpWErzjHbggEnYM2XZq9NSct10NCTt1RzuNSKE7Y1Cp98MwAnP+jB7BfojNDoqYlfPS9u6Qt6lZ+9Ok3fO3M1eqZ2Uk3JHykLbDGaQWHVV1A7pH1HRsjKyLqXlkY4qzJQySRoG2QJf6Rz31JyqXGVZKF0cHM/3kXHIWavHO1ploqfnQduzrZbRR63jtQYEOaLg7O7oF9TX/iaS3Uk5RQyhohCKmJUKEuS212TkUtFHAGZFxlhtiFQbow5OSi8brtKZiqkDDhjbi4etm6D9BW/co6TrEm4nhDj91PRJXq9j3fe5r5OBYVQHridhPNRVLIx2wNX2olXSYi8coHZlpol/r2DghHYjFKVEkuLN+DWn49BQpb9MFU9q7h20iNKGMTbnO/Gli124CkJYI8bC/pgy5sdiu1Hf44lpUm33hCxinWzaxc5uLra9K+Mich7faiQyzyNgQlNaRXgyoSNUTkJ1IMhK5nyMp/w4Oo2CSGUAtZ4m0WC2PeUksBeRAKA81EZAIDmdVyZNnrCS8uS640mpvxJAx8nzvkEQXCKAQMWb0V6vg6dvj0OwKIEeHV+71KNtybANn6re/iaxPwMMXAMuKpVpCwOqdWCV0nyRJ0U/AuO349ujh/HNGeiTO4m5uJhSl6pQpArgnytgVHbfKd7PQC23lp2ncXd0zuBIAiE+lJ5qLQiZZZaj1lbbwKgwgKTcjR4lJLPlLepy1ObVIDyVgohlAICxWDMz0fe8RN41L4DMtbYFqUmNZRxYcykvBbpK1Zwj7PCOTQSGc5GlmzSbx2iZ+2FKivTNl3HuNWXAHBz4Coj7yMriQqD9GvQCDPX/4O52/4FAPSfMRdTfloNidR+Xtor7QKoMWoMyFDbN2RoZUr6ugDg7aTAvS9fwhtdLLkbpfHAuTnI7H4e/xvVjNmmP0d7OHtxQzldfWuZvYXmseuoz19XWIAnN6/ZnF+RE5E2gW6QiAj0bUKNKVejZ1ZuP+rfiPHGPUkvQIY5j+nOViqfpKEDd5Jd0nBUgZqDo9kjkFfKWnDsUMe7iTm4EE0ZcA28HXF1fm9c/qQXc/zPyZR+mM5oYkLJmvi5MEJDr4YHAuAKIBmMJmQVWL6/mWodNHojtl+jitpb164SAPryhKBXV8TmZ0gBqyandZHvZ431gldWgR53eEoNAEBtV2qh017OtkwiwvCW/syiBp0TdyXGtoZnZaJm/c57N/JGzJKBmNghkNPHWUm9h08HNEIL1oIMYHkeswWLFFIxUyvvkjkKpCQLqTURuVRUYaq/1R3BgBMoM4nzPkT8NPtpjTFjX0Hmxk0wsSbbbKMt7/BhZltMlnzFhJ3zAQBL/ntQ7h+s9UODvVqurGADjl3A2rpcgFQmh6tv0aE5c1niHHzS1jQGkcWYcPWxXFMlk3BkxivK6Bjdpg5GtLLkJhQVvvLq/37m7IutDFa61MDOJQt5z69IA27rWx1wf1E/ZmKQW6hnamXpjSZEm1U1l/xnkbAm5OZcGEduOGhNFnkQ4EckIuAolyC/lB44thLuwOVnme3PhzSBp6Oc8ewBltBdrd6El5ZROXOuKil+Gkt59AeZw8sUrJIGWQXUQgU772jJfw+YiaJCInyXrXFVySATiyolKqOiocPw8zIsC6MGrQYmoxGrpr2G6wf2PKuhMaTl2xqUg34+y5vv6WlWbrTngbNHVf+t2AacUso/VoVUjCffDMCbXYNtjvEZqAqpiCOg0ybQjQm1FOAiFzxwAgLFo334sMjjpE6HlMWLYczKZtroenEAoD5rmZQkOniW+HVpaXk2fFLDpWHW1hucfXb4Ep/iVXk4ssbiiWxuR9CjKNiPo13XE+z2M7BCKK3l+9khHBXpNXqjs+WBdOpRqt1+MqUK/ae/x+yLxNwx7FyyENqCAiQ8oGpYtRs1HiuC3sIhbyqsK+LYwQobs0QsglQsYlZFczV63E2kctwc5BJMaE+tng5sZvkeODVsAQBI8mxUYeMQeHFxUkiQpyldPS6dgX8BhM9jLmPqaFlEnl2UUjT0dULMkoFM3pFcavHA0eNhFxGm678B1T9E8Flx8/M+iFjY91kPo1hoA+7x5fNMm0GnQ0FONvIy0nBi/epnNTSGW3HZvO10GDAnpNK87VxCA46OCKmoCJ2Scs4c6gwU7cW2l+/nyPP+FBIxOodYymtdfVq1XsXnCUHERECgGEijEfoE+8YDm9TvvmO2DWlpSF+5EqTRyLk5F0jk8OUpKB0Rn433tt1kCtQC/DdkaTlzj6yLWdMFQ+9/2Q8Dm1VcsnpeRjrunzkBAKjXpkOZ1C1dlJYVussxmXb7sXPgRBLuqp6fq0VNzaECQ6Ua+zmjR0PqQfP6uqv4bM8d3I7nD4lp3LUnpvy0GpOX/gZSbLvqmJNqUe3zqVsfJkKMPCVl6F/a9XeFjZnGQSaGTCxChlqHsW2pMNVmtV3grJRAIiI4HhG9OcRTbbD8/ZrU4CLHAkXjKJcgv5QhlDpjyVeR6XIi/5jDHwHKA2eNQmLxwG27GgeAe++8n5hrc44AF5VMApWs+odK04ti6izLM0Kv03JCKp81o1v787bTqQH0s/79EkadsKEXLfK1/AsnBToDLkZnYMWJSMRm2IqwlZUFuy3VtJRleLZa13B8tLg/RCKC43kcWI0FdJ41dJh4RdTdrO4IBpxAmUh4by5vu/urk2zaDBmWFankL75E2rKfkH/qNKTe3ky7hDTyTjg+3HEbO28kMNL5AH9oXnlDKOkEYmvKcgMuilXTJjPbDdp3LNM1JGIROgRblLw8HeW49ZntinBRHjhaWZG+XkVCy+4DwIYLTzFm1QW7fV19a8HDvw5Iie3f3qDTonZoE8hVDmjQpi1m9qyPlW9XnrACQRBwc5AiW62HwWQCQVBeCIIgoGSFngGA3hzCma83oZY5lGVSeCDvdQUECIIqI5BVilpw+lIYcHU9bAUNXFW2QkhsDxwtGuXhaOlX2jw9geoL3+KgXqOBTmMRvoq+caUqh2SDvcXRtDzqd0LnsWUV6DHenEfmWcLyMLQny17o8vv/3MLYVRfxv0MP8ePRR6Uad0kpa3RLeDBVA7VNoBsTHs32vH82uHH5B/eCIpeKQZKlWwB7XhEMOIEykXfoEG87wVO/jGAZD7o4atUXpAnS2lS+1FOPOpAaDRzPEk23BpQ3JzrNEnqp44lvHv7reey7RRl5JhNZ6tUXkiWgYa3+Vlk07tqzzOfKWfkpeqMJKislyckdg6BSWbyK1mUJSls6oDS83Y1S3mpoVsEr0YqpxHayadDpYDIa4FufWn19r29DNA/2BQgCtRqEVtyAWYgIApkFOuiNJKQiy+1RJhFxChwfvZsEkhChQE+iS4gnzn7YAy+3qVMpYxJ4/nmUQt2/SjNR1Jcij8NFJWUES2j4POsKiRjHH6Qi6KP9TNucPmUreC/w/HFk1c+cHOxdS75ARnzsMxuPvQgU2ltN19fcejkWL7epgz3TO3HyrIuCfsbZW5S4FWfxRMbxFAsvL9+Pbl7m5+yWtzrg5PvdsZklVMJOe7COGBKwwFcu5a8LMfjtZNSzGlKlIRhwAhWG65gxIHiSdvXxlrAeQ0oKtUGSMJkVsTJFCkhNBvDdy2XmopXs1WjaE/LT2BaY3dtS1+yD7VTtlcafHyxWBdEauuZSLRdFpdzMKxq6NhRAfTbsMKhvR4Zh4ZAmmNnXskqndOJ6GOnY/MrwGvm6KNDM36VUcegmnhBKyoAz2ngPA5qEQSSqnFtXUo4GR+6lwGA0QcIqmCoSEYxKqsyohYshFwaIkJSjgUomgb+bqsKLvQu8OPQKpaINNlx4WuJzSruCzL4HNPBx5P0+0sW82TTwdsKnA7i5nFvfEhTuXkTyszJRaBVCqWHlpVc1XUM8OeIcNPQzns5FnhgeBIAqoVHS+6xcIoJUTNiU78gp0GPoinNIybUYspWRU9a+rnvxnYogyNOBU1eUIAh83D8U49sHlHdoLzRyuuwPqxbcgj138e3BB89qSJWGYMAJVAhBO7bD9/PPoLl7r0T9jfn5ILWUR0MtVUBqMuJitG0+l94cLsleTSnQGTGmTR0MbVEb/ZtaQjA0eqoGkkZvYiS3SwpdGynXfH515z5LbMA61IoO2+jWxLJSKRJzV+MJgsCDRf2wcLDtw7MikEtEyCxFuBgptnjgmvagwkENOi1MBgMIEXfsEpkc6qwsbP9qASdPriIxmEhOLkJanpZ5PwNTD6KB2lJUuTR19ARqJj+Pa1nqc/giDYqau0pZCw773u3M20dupSzpppLCxfyPTQdzCJfA8w2tPixXWUJsc9O44lKFec8u75EgCEwMD8LmN9tjECuc8pqVQTWqdcm8btbX5lN/HfzLWdyKy7bJpT92P6XUr2ENO1e/jruqiJ5lY2q3evhqeFiFX/dFgvbA8aXVGHgWxeIyC9D/pzN2BXWqM4IBJ1AuJN7ecB4wAIoGDUCIRDCqS7aal7NjJwquXQVACZhITdRN1jrRn/7BsX+MhTojk5tmLfH/5vqrZXofO29QgixqnZEplFmZBIS1qLBr0c8hP3MuFh22IeEJZ2WjkIorTWlOLhEjtxSy6UaWB07h6AiA8sAZjUaIrYxPiVyB7JQkPI24gTOb11fMgK0wmEx2hXH8NVSorpSk3t/zIGgg8GxRySQY2YoSbLCenNpDb+ROMCMW9kXE5/bVD9nfV2tDjca67lbfxr4AuEqUAi8OIz5eCAAQsaIYzv29kdOnMP/ZC9d0rOeJzwY3RnN/FwDAuvMxnONl1aNwVNiKB8XaibCZYyWWlphdWOpUDE0Nka+vztClfPhKCfDNSW4n5OB+Ui7+d6hoVfXqiGDACZQLVbt2qP3DUhDmOl7O/fqX6LyCK1egPn0GAKAXSSAxUQZaeh7XeKInMWyvWKHeyIQAWouMsFUZ52y7iQJd8UZEhpXBFmOu+8UWCqkI1NnUxE0klmDADH4RmJLSr4kvs00bsbS3kjbgpPKSJXtXBux4fXvkavTMqufuO2lMu8LBYsCZjAbO5AMAp8i5trCCw11JEmKTARsvxkLE5+7geaCH1Xap2DEIvJDQodkjfztfTE8Ka8+6s0IKJztFjAFLLbiO9ex7z6y/0nTuLFtA6qexLUo0PoHqj9x8L/WoXQet+g/hHBv75f8AAJq88pXgqSi8nRTYPb0TADCGHHOsjDlfjnIpJ4SSz6tNk6sxYMyqiwCA5BwNOi45jh+PlE7chF5oru/tWIbRClQEKvN8iC8KK6vANiqIztE/G5mOG7HPV3kGwYATKBcuw4dx9t3Gj0PDWzeZfa/Zs5lteSi/8IReJIHc7M1QWxlc9CSGzqfSGUwwmEjGgPNwsL9yvOtGAnbdKL7UQXYhV7QkyiyYsnhY02LPLQ103R332v5wcHUrpnfRLBvbAi+3oVb0aSOW/qzoEEqJ2YDzCqxbrtcqC9YFrb/cZxta22zhYUxZfxWJ2YXYf89ieNMeuCOrf0F2cpJN+Cd7VZQ0VeyKZ9vsa5j2dDVGJe6Ee/Jtpv1zs+qXlLQVuOkSUvIahgI1lwWDSqccR3sOmvg5l0g2nPauyYpYPHloVS/Twew9dmUJSDXw4YqhCDy/qJxdMGTuJxgy9xP41AvhHPMLaQiCEEFbUH1yvgmCQKivE1OkOtTXCX0b+/AKnJUEJzlVf/HIvRQYTSRTX84etHecLmOw9uyTUr1eodkYeKuLbYFugaqhdSA1t3pqXohnk11g+/dnF15/HtJn2AixPwJlQyqFx2uvwbFTJ04zQRAgWJ4ft/HjkLZsGRx79ICqfTukLuEmkuprB0AvkkBBUj8ctZYbt0z/oOj/6RskbSCIRAQ+GRCKAp0RzgopvvyXaygQKD5E8LHVpCbCXLfM2ggpL7oC6oZiLcpRFhRSMRYOaYK/r8ZjZi/qwUyXV6AnZSKRGKPmL34mBpy1B+6Pc08wu08InHk8CIV6I/Qiy2eicOROIK0NOJPBcsM1GSu2YGeHbEpWu5Y2BbXSUlCY/waUjk5MfLyLnhtutHBwY0G8RKBEhPkX76mNzyqAWESglosS8831pNa+2paZ0BZFLVeqj3WYJBuJVcg0XVuKXXJAMOBeLELaUeVqCJbwk1SuACESQa5SQVtgO9F9lihlYsYrkluoL9LrXByOCgmOP0jFpSeZ+HZkGB4mlyzFg56HqEtYc46GXmhWVHD5IYGS4+Ygg4tSCoOJREquBk9YhlxOoa0H7uRDS04oXymr6oxgwAmUGpIkAb2eUx7AHiKlEqF3bgNiMQiCgMTLC8bMLKR89RUA4MD7P4FYsQxivRYEabLxwMVlUauDdGhCgd427+itrpRs/dbLtnLIJZlbZ6otqzIiAkg2q1NZ59eVF9pv1KLvwAq5nkomQcwSy7U+GdAIH++8zanrFFiBuXalgU/tLj6zEI39bG+Qj5LzODXr2An3fPtGlgFX2WGiuoICKB2d0DrQDbtvJqKWliua0jKgfJ5UgZqJ1mDkzVPr/O0JAEDMkoEIcFchNrOA83suClcl1a8oD5yno5wpaQCAmRyzPRzWhYQFXgykrJxoqcJs7KscmIXF6gJdc5MkSaTla+HlVPZ7PLv4dWquFn+cK96jdvJhKkysKA+TiSxxrji90KwoQQqBQOXhKJcgT2PA4J/PchS7+TxwJx5a0jdKWmOwuiB8ywRKj3kCzVcywBpCIqH+mS0pl4ED4di1C3N85akojIo8BQAIT7rLuLPT87W4l5iLy0+o0LpLTzKx9PBDzN9FrUqreFa4+IpmluS2m8eq+yaXiJkfeUV74GJuXgMAhHbuXqHXpXmlXQBilgwsc/HQiiQm3TYshzbGrbn2NAskYbkVWdess943GdkGXMXVw+FLWH96+yYAoHtDb4hII7pnnOEcD/SoeKUxgReXBj5UeHBStobTbjSRWHWaW6eoeR1XBHmo7IrpWEOHUhuM9oUXZvfm1nyjJ7hFGX0CLwbBrdsy2zKFEgAgV6mgqYYGXKHeiFyNAXojCc8SLmDwwa7DpjeReKmJj02f+QO5JTQuRGcgnxUJxCeGYQ96obmi5w4CpUMiJrDjejzHeAOogvD2mNK5brkWC54Fwl1boNSQjAFXNnezNIBbxyRdQdUoMxIiFJhvnIOWn8WA5dzJ8s/HI3HsAeXuVkpFNhPuYC+upwYo2cSEVp3cO6MTCllqlxV5EzYZjQgIawGZUskR4XhR4UsgTsgq5O0bk8E17KzVM1sNGMrZ9w6i8gvEEgn0uopTDDXobcMrjqz6GSRJQi4V2YRPAtzQMwGB4lg4hCrbkZjD/S0cuZeMrw9YwsuzC3TYdyvR5rdRFFnmMhcH79ovrdGurjumdLaEVBsqOIdUoPoiEokR1pNSMXVwoyIH5A4O0KqrlwH3NLMAdxJyme9zeRRSHVkeODFBQG8k0bS2M46+1w2/jGuJO1+8hDes8tXEBIECVl5UIY8cvT3ovtbiagJVy1M7980cHhETmtLmKFcHBANOoNSQevMqRhlzuaxzhn5sNQYAoBVLMW9HBIwmkglj5B8AiYBRPZHyzTecZr78KqOpeBng2MwC1Pd2RDN/V057RYYS/ThuKGJv34Sje80QvGhRx9Wm7ct/7yHaLBBDC8UAQEI2dzLr4mNR2HT1qQWVMzd3qP3wMZj47XL41GsAg7biDDh7E5nCvFwopWL4aZI47Y4eNeNvKVBxOMmpe1SBVa6v9cpwiy+PlPrancxiOo7FeOAXDGqMRWaBJi/HivNgC1R/ZEoqYsDBlVJYVjo5Q5NfPVQoaSJTqWfDgj1UtI2bQzly4FipFkaShM5ggkwsQn1vRwxq5mfzW6nlokBqnpZTeqA0BpwlhFIw4KojfGUenOQSTO4YVPWDqQAEA06g1DAeOEnZb6xu48bB/bXXIJeI0Ls9JcIhM9eCi8ngTqRvLOjD2VcYqVWUrA1/cdt5PGZ84Q8nHqTi5ZUXGNXG5BwN/FyVZXwnxZOVnMhsq7Nti5W/iGx8oz2CPR3QJpCbI3Y+ivLMfb7nLtOWaGXAKVkiJkPe/9Tm2hKZDN5BwZDK5Yi9cwuHVv5UIWPOz+Qv/p4c+QhOCimmtfdi2rpPegMDZ7xfIa8rUHOgc0PZ9yW90YTfTkbx9n+9U8kFiHo09MaZeT1w8ZNexfad0D4A/83qgs6CgmqNQmyO/nB0sxhwBbk5z3JINkztSnnEzjxOB4ByiZiwc7G1BiNlwBURlePtJEdqnpYRUQH4C0LbwxJCKUytqyPWZST0RhPytIbnTryERviWCZQaYxYltSt2cbbbR+Rs/xgA+H62AE5z3oPWYIKDI7Uq2CLtMWRGPTZefMrp6+Yg40i1O2stBp4hPd3SrqRW0+b1a4h65nDK+bvv4E5CDib9cZm5uU7bdB2XYzLxNEONLt8dx634HKZ2yNpX2xT95svAH7PeYrZ1hfxhhC8ajnIJjr/fHV0beHHaaa8mW6yGT9r5tR9XYsj7n8IrIMjua4jMqmp3ThypkHICqTHRvO16s5fPgbCMufXAYfBvXLFlJgRefGh11umbrzNtB24n2S0uXNqJYB13VbEeOICKgmhUi3uPPvpeV+yf2blUryfwfEELQKlc6RBKRxTm5lQrIy7Ik5sK0cSv6LlEUbDzR7V6E3I1et7fxzcjwjCndwN4OyuQmqvhSMsXlkKJslDIgavW0CqhNLTegXsR5aiqM4IBJ1BqDGmU0STxtk0Ipgk5eQINrl4t8jq/HI8EAMhVVBjP8KgzmHnjH/x5Lsam728TWjPb7dwsoY1sA04uESNmyUBM614f+2dahFLmbY/A6UdpuGmWgqeNiPisQsRlUgaV1Dyx6tXIB3N6N8D49tw8vYoiuFXb4ju9QFgLMIgJAv9cjcON2Gybvn1mf4ou4yYDANz9/BHSNrzIa6fHWVRHEx89KKJnSeGG24aPGmd+HWpB4fHlCwCA1378vQJeS6Amwqc8eemJfa98RSvhFkV9byc08ROK0r/I0EW7lU6UUeTqQ9UXvLTr72c2JmvYiQt1PR04itOlhf38ScwuxIPkPF6hilfaBWBW7xDGA8deYCyNB04rGHDVgl6h3sw2OxUmIj6Ho51AF/Z+XnPZBQNOoNSQZuEIkcK+Yo9IpYLY0VZUhM2v5rChQlhudm1SH/L2dZRLsGhYU0zrXg9fdve3jMVOHTB2LSTaw/PbySgU6oxMfDtboYjtBZrVOwRfDQ8rcuwlRZNvyfWq27IN+r0zp0Ku+7yQYpXLOG9HBD7YHsHstwtyZ7YbtGmHdkNHlfjadBgQAJAoPtexOAw6S4Jz7dAmaNl/MADg4o4tAIDctBQAgLtf7XK/lkDNxEFuudcFfbQf3f93Apsv2ZY/oREmggIVSWE+JcSkdKLC1GlRE722iJzzKoYdXrz97aIX8YqjLsubd/gedf9uWESdQ28nBTLVOk5OKjsfrjiYHDghhPKZ8tuE1kx93KHN/fBwcT8AwN3EXOy+mcD0yzXP+8paKP5ZI3zLBEqNyRxSRsjKt2pBJ44ObWfJ83DRqaHSFyIg11ZJbWKHQMzrFwoyOpJpS5g5i/faIhHB3ERpkYxTj9KwL8KSj5bGMuDUpbhJl4aHF04z295BwVA4OlbK61RX+KT5aVxVUvi7UbmHYhFhU/y7OLpNeoPZjrx8HndPHSvbIM3QBlxQi9bo89YMRmobAI6vE7xuAuXHSSFFvyYWkR5rlcnGVmGNwkRQoCKhFxRpDxxBEPDwD0Bhrq3C7rOC/RzwKGddrk71PbFxSntmXyIiMK59oN3+nk7UnCY+s4ApsTH5zyslfr1cTeWUIBIoHTKJCL7OVGSX3kRyIh8eJFlEe/LM876ShJ1XR4Sng0CpIc0TXaKcRZQd5RIEFT7Fn+9NgY7lMVt8fg1+P/49RCZ+71rhrVvMtj4hgbcPAOx4p6NNmxPrh0qXDwDASVquSEys3CxrefyawJtdg9EqwBWrJra2OTa7VwjSzH8Do4m0USctjtoNGyG0UzcAwLX9e3Dw1x/LNVbagBv+4WfwqF0HYpbK6o3/9gEAPPwrJ7RWoOZgTzjk/Ec9sWdGJ06bWCQ8ogUqjj5vTkfDjl1RK6Qh0yZTKquVB25wcz8EuKvwwUsNi+9cAti/Nwe5pEgREzpk+VZ8TpFemT03E3DqUZpN+8/mtJCS1m4UqDxUTF1Mbn782UhL2s3yY48BcAu+P08I3zKBUkNqzQZcOT1wOqMJ/VMOAQDy5ZZrNcqico7+zD+DtYNtVdhMBSUTAuFLTN17y+KBo+vMAECBrnI8cAoHi8dNWk6D93nE302FndM68dbomxQehGDPosNsi6PVgCGcfZOdkFprDHo9SJJEXmY6Yu9QCwLaAjVkSiVEIvurp40qqQi7QM1hZCt/3nY/V6XNxM9aoVVAoDx41gnEoFnzIGYpSEsVSug01ed75iCX4PS8Hpjeo36FX1tvLFrsiu05Y6tffrwzgtNv1tabePWPyxU7OIEKhf5b6o3cKKC7ibkI+mg/gj7az+TiCx44gRoD44ErrwFnMEFCUhPu2w0C4NiLK3/tffxfBH420+Y8Y14eHDpavGuFt2/zXp92obP5744lNJNtzFWWWIBeY1nZrIkeOBrrRPTPBzeGSETglXKKxUitPtOSrCTnpKbgpwnDce/0cWyZ/wH+WfQp8jMzkPb0CRSO3PyIaWs2c19PUXnlJgRqBkqZGPe/7Gf3+M+vtMS07vXQMsAV4zsIHl+BykWmUHKeUy8yxUXasOcB7IL3Wy7HIT6LXylWoHoiFVMRPYYSKFQ7Ch44gZoCI2JSTgOOnaysJo1wHTnSpg87RNKYl4ekhQthSEmByNkZntOnAwB0T57wXp8gCCwa2sTu69M1vut6OuDX8a3K8haKRVtouenLlDV38l/LRcERLPE05zY4mA270ua/0VgbxSVZSU55QoW5PL58HnkZVBjM7++8iri7EUyhWxo6V4RGVUx5DAGBkqCU2V8wGtzcD/P6hWLXtE6o5VJz7xkCVYNMoYC+GnngKoP5AxuVqB+7bpyLUop2dS3PrIx8Hd8pHNxUUkwQFl2qBbS3tSThrA7lUDp9lggGnECpUZ+n5NRLkgO38eJTXLYjk60zmGAiqK+gW63akAXU4e1HC2Gk//ILsrduoww4Rwe4T5oIADCk8xdgBixGYtPa9ifex+d2Q7BX5YiL5KalMtueRdQ0e9EhCAJ/sxTFjGbrmc5HcC6jCpS1+qSuoBD3zpxA/L07ds8xmWshRV29ZHPM2qNnjdJZkFkXqBhOf9ADfRrbL8UiIFAViGUy5KSmIC8jvfjOzynePNE4fLA9cC5KKSe14tDdZOgMJk7b8QcpzLbJRCKnUA+351SS/kWD/juE1aae2Wfm9eDt17iWM6fUwPOEYMAJlAhtVBQMWVkgDQbknzwJoGQhlPN338HLv1/gPabT6yAiKQNLIpXavR5ZQHmx2IZazvYdEDk7Q+TsDF2cfRlueqV7Ro8Qu31KK55RGm4e+pfZrmkKlHxsfpNSBGsdSBWS9XKUY2KHQKx/rV2Zrufi7YMm3Xqj1YChAIB1c9/Bf78sxbYvPrKbD8cuF2ANUYxohLVHTkCgrAR4qLB6UptnPQyBGk7Cg3sAgM0L3n/GI6k8+pZwoYSdA+eslKBAa3mG/HoyCrO33eDUqX19naXWbZ7WABP5/ErSv2i0D/bA5jfbM7mUddxVvP2+G9WsKodVoQgGnECxZKxbh+iBg/A4vCNMhZZQC0JcdN6YyWTxjuy+kYC1Z58gMtUi4erw8CyzrddqQUj5b3xGs8QxaTXxJggCEm8vGDPsF8Id2zYAf08NR7+mFunuq/N7M9vz+lWM0hUfBTnZzHanMRPh6OZRaa/1vNCxnidilgxkbqYiEYFFw5qisV/ZDCORSIx+02bDJ9g24V2Tn8dzBnD8T/slAfQ6rU3bmC++ZbY969iXoBYQKCvP6wqwwPNPUHMqfSD/BfbAKaRijG7tj9c6BRXZz9oD18iqrMeB28k24f5rzkTj0N1kvLmBMuae16LQLyId63ly7q1n5vXADy83x/t9GzBt3s7PrzbB8xn4KVClqE9bapllbdpcRE8ueazaarO33QQALAIlYPFap7rwekjV7fIJro/8zIwiDLg8SGvVAqm3FNes9dVXAABdZBR0kVF2xyAWEZw4dgCcEIcBTWuV+P2UlvQ4Sk2z79SZTMFUgcqhUadu+O+XpZw2jTofKhdXThtpMpVaMts/tAmGf/Q5nD28ICpm0UJAoLSc/6hnkdLmAgKVSUi7cFw/sOdZD6PS+d/o5sX2Ucm4Btx3o5qhR6g33v/HUrooPoubL7h4/3271xCoXtRxV6GOuwrJORp8f/gRACoK6HlFMOAEikUe0oDJe0tfubLE59lTbfpi3z0MDfNm9h3dPZCVlGDXgDPl0R44i3dE0ZiblEySxdcRk0tE0BpMEIsILB7WFDmFegSVU8a+KOhQPa8anPtWVfCFPvKFSj69fbPoC9kpPB7csm1ZhiUgUCx+roJQicCzw79RU8gdHKBVq2EyGmv0IhW7cLhSKgZBEBzxLQBYdz6mikclUNH4uijQub4nWgW4VmoKTWUjLPsJFEvm+vXMNmmWG1a1Kz5naeDys7zt/oXx2PTJHGbf1ccXOo0GYD04nAcNQuDmTQAoDxwAGNVq5rjIgWt4kYXFq2gdm9sNW97sAACY0CGwUurMsDEaKI+hSCKskzwL9ny/GNoCy3fm4s5t2PH1Z0WfZMeAExAQEHhRCR/5CgCuanJNRCwisOXNDrj4cS9mYu/vpsQr7QJgHeVsr/hzAx8n3naB6sXGN9rjvb6Vl0JTFQgGnIBd9i//Hx6eP817LOCPtSW+TpAHN3m0T9ox6NKoGmwbgydD6ewKkCSMrBskqdVA4kHljBlzcwAAmluWYpoSX0tOGwAY8/OLHYe/mwrh9aouD81oVjtkF00VqHwGzpoHgFIAvXXkP6b93La/mG26IHdIu46ccwXzTUBAoKZBl0/5dcorHOVka9JiY7B0zCBkxMdV1dCqnPB6HvB1sahWikQEvhkRBh8rJcuIz23TIiZ0CEB9b0GsTKBqEAw4AV7U2Vl4cO4U/v3pO97jRCm8Sr+Ob83ZVxkt3rJ5g1tCKqdujAajEU59+gAA8k+egshcc8uUmwdjvppzDboGnd//qPGZ1NzjVU1KdCTunT7OaaNVEMWCB65KeGfVRkxbuwXOnpbwXAM77JZVpLvH5Lcw868dGDTnQ841ilOhFBAQEHjRSIu11FJ9YGfRFgAeXTxbbJ8XlSHN/QAAEhGB43O78Ybe+TiVrFyBgEBFIMwsBXiJvRth91hJygew8XCUIWbJQABA0Ef7IWL5ORRKOWRaswGn1UJSi/Ksebw9FWInasJtzMtF3pEjAACvWTOhaNyYOZ8OpTTl5JRqTBXNxo9nAwAad+3JtFlCKGtuTkFVQguWFLDCa0Uiy2fPFi+RSGVMzbdaIQ2R9PihTX8BAQGBmkBYj7648d8+AICDq5vdfjIFla95cccW+NSth/ptO1TJ+KoDH/UPRY9Qb7Sv6243b8peWKWAQGUgLDcL2JC5YQMer/wNACAx56XVWbvG0qEEeUJ6o4nZtq6LEqeoDQBYHTAZIoKAVEEZcHqtBoSYugGK5HLGy6d9+Ai66GgAgNvESXDs1o25lkhJPVBy/t1f8jdYiVzbT6l5pURH4vDK5QCEEMqqxsXLUvNHYl5syEyMh5GlYiqWWf4mQ9+fz0hpBzZrUTWDFBAQEKgmuPpY1JilcvuqfFKFRXBnz/eLK3VM1Q2CINAh2KNI0QtnoQacQBUiGHACHPQpKUj5+hsUJlE5agajEbkKGVStWjF9VB3Di71OvobK/3KUSzjFMa8v6AMHkQFxitrQiJWo465iVvy2LPgAGXqzl4SwfDXzDh9GYUQEJN7eEDtyxUtUbSl1QFJrW7+rKEiTCRnxsSBNpuI7l4KTG1YDsHjkAMuqpUDVIJHJ4OBGKYclR0cCoEKC2bA9bQ6ubhj5yZd4/adV6DRmQtUNVEBAQKAaIJHLEdyKepYaWAtd1ojEwpSRzeVPeuHWZ30xfyClim1dN05AoDIRfo0CHDLWUuIkRpbk0uV6fhAplQj8awN8PlsA/2XLir1OntmAWzikCaf9z9dHwL0gBT7aVDTxc0arADfUCqGUgLQFavx3+zLcJk6E2ytjOecVXLoEsYetAAkhkUDq52dT5LsoUmOi8cMrQ7Bu7jQc+n15ic+zh7Vc/ZOb1zj7tIdRoOqY8PWPAMCI8OjM6mptBo/A8I8+5z3HzddPCKEUEBCocRAEgV5T3gEATqQCG4NOB20BV6WyohdAnze8nRVwUUnxascgnPqgu2DACVQpggFXQ7hxcB9yUpOL7Sd2cQEA5Crl8PClkna9cimBEFXbtnAfN44JWyyKPC31EHCUW2LCU2OimW0ZqcfUbvWo17QKMfT99BOIVFzlSgCMKqU1IkfHEqlQ0tw+fojZvnvyaInPs0ehuU4dzbltG5lt/8ZNy319gdLj6G75rmjU+dCaRW6a9+4v1HQTEBAQsEKuotQTrZ9nNMsnjcLpjX9w2i7u2lbp43oekIpFCPSovJqyAgJ8CAZcDUBboMbxP3/H1s8/LLavMZsSAzGKCMhNJByNJES1a5f6NWkPHJ3US5Ik/vpwJnN8e61hNuUFaNbNncZI8LuNH8+0ixz55XlFTk4w5OXh4G/LkJ2SDJIkkXfiBEizCqQ1Epklxr9J996leFf8GPRcD1xK9GNmm66vI/DsuHPiCDRmA07GszAgICAgUNORq1SQKZWIuXkNyZGPOMdIkgRJ2nrbnly/WlXDExAQsEIw4GoAGrN3Kj8zA2mxMUX2NWZnQysWQSOTQnrvAaQaDXTS0isrZeRTRo27AyUicffUMeZYpqMfkhS14G1HcjcjPhbqrExqh50wbC932GjEkexE3D15FDuXLETeoUOIf2casjZttumqzs7iSCCzjbmyotdoeNs7jBiDgKbNy319gfJx6q+1uH38EAhCBLlKWCUVEBAQ4EOmUCLu3m1s+vQ9TvsPYwdz9unnWlLkwyobm4CAABfBgKuGZCYmYOPHs5GfmVEh19OoLeGF8ffv2O2X+OgB7pw7iWNN6wIAdGIR5HojUnKzsGXBB0W+xsUdW5EcZfE8xWRQHg8/V7NKZEoSc2zABwsxo0d9+DhbjKeJ33Jz0fIy0gEABCtp2nvWLN7XLrx5E3lK6lr5aanI3rkTAKBPTobJStxk5dSJyDdfGwD0hdyY/rKg01B17Xq+/janvXZoE77uAlXEGz9blFPTY2Pg4uMj1OQTEBAQsANbZdKg10NbwF9ftXZoY952AQGBqkMw4Kohu7/7EinRkfh92uQKuZ6WZcBlxMUy9cms2bLgfdypYymCnKuUQ6mjQhkTH9236U+SJC7v2Q51dhbO/b0Rmz6ZA9JcYiAmXY0AlQkO5vmyWGqpHdcp1A/vv9SQI8frHRSMIe9/yuwnPX4AAPCcPh3uU15HaMQtyIKCeMft89VXzLZer4P69BkAQOYff+Bh8xac8Vperx486wRCW2gpKl5WaA+cT916aD1oONOudBISmp8lLt6+cPayfJ8JQaBEQEBAwC5SuSUq5r8VP+CX18YgJzUZngFBnH7th4+p4pEJCAhYU2YDjiCIOgRBnCAI4j5BEHcJgrBxjxAE0Z0giByCIG6a/31WvuHWDLKSEqgNkuQNeUyLjSmRIAkN2wN368gBrJr2WonOC07NhqQIlamU6Eic2bwO//70LdNGF0ROzSnA0Lu/Y9U7r0JboGaUGt9c8afd64W0DUeTblROWr45hFLs7AyfDz4osni4pGtnZts9375BpmMZayM+Xgi5gwOjTlgeaONWplCi+8QpTLurby17pwhUEW/+Ykm6z0qMf4YjERAQEKjepMc9ZbYfXaAWQte8+wbSY2PQMLwLBrz7PsZ/9QPEEgkahHeBm5//sxqqgECNpzweOAOAuSRJNgLQAcB0giD4/OpnSJJsYf73ZTler8bgFViX2d7wwQyOkfHg/Gls+GAG1rz7hs15GnW+xfhjcWztb5z9gpxsRiQEoMIV+fK4CJDwGD7C7jgN5vDE+HuWsExaVlifSClOFublYs/3X0GjzofCwRHOnl52rwcA/abNhsrFFdf270Z2SsmM1ISH95jtTEdbhUyTWfqY9kT2fXsmHFzdIFMokZ2ShKVjBiH2TkSJXosP2mh18fbltAv5VtWDzq+8CgAYNLt4ER8BAQGBmorJaLB7TFdYgEadu8O3fgMAgEyhQFZifIUsggoICJSeMhtwJEkmkSR53bydB+A+gNLLFQrYQBDcP4uOZVzt/+k7ZttkMuLIql+YVbNV70zGH7On2lyvICcbAODhH8C00UbXnRNHsGraZFzbv9vmvKaLv4GyQQizzzZyTm38A8f+XGlzjl5HGXWiTIshGXc3Alp1PuR2VCTtjXftTFsjlY8DP3/P2U91UsFr9mzLmJKo/DvaE6lwoMYhlkqRl54GANi//DuUldz0NDQM7yLUe6umtB82GnO3/YuG4V2e9VAEBAQEnktUrm6c/cirlwAAl3b9/SyGIyBQ46mQHDiCIIIAtARwiedwOEEQtwiC+I8gCEHVoQToNAWcyaZeqzG3c8MD//nyU0QcO4h/l33L6Uf/D3BVotxqWezr7JREHPvjNxxa+RMArkokALyzaiNq9eoNPatI9T+LPkHklYs4vu53XN23E+k84Z07vloAnVaDlkkWpUcXH19ozR640pKbnlrkcZPJUiqg49DRAICrwbVgkltCLlO3/Y2Dvy5jPHUKRycA3Ly8gpxsnP/HVrWyJOi1GkjkFkGW/tPfQ4/Jtoa0gICAgIBAdWXAu++j3dBRaPHSIABAcCtLzczuk7gLqlKzgvPlPdurboACAgIM5TbgCIJwBLADwGySJK0rQF4HEEiSZHMAPwPYXcR13iII4ipBEFfT0tLKO6znGk1eHhQsAYzLu7cjOyUZN/7bx+lHK0pmxMeiIDfHcr7Z06QtKMDmT+cy7XJWDazc9DTcPLSf2c9mqUQCgNKZKugd1LwVp33P94ttxmHNz5NGcfZFIjE06nzIS2jAjf3yf8z2wV+XFdk36qplzaDtKEvNtVO3LO03D+7F3VNHcfwPymNIG5INO3I9Mhe2l82AM2i1kLIMuMZde6JV/8FFnCEgICAgIFC9aNS5O7qMm4wek99E90lvYtDsDzF6wdd4d/0/Nguw/We8Z+cqAgICVUG5DDiCIKSgjLdNJEnutD5OkmQuSZL55u0DAKQEQXjyXYskyVUkSbYhSbKNl1fReVIvMrrCAmjU+XD29EL3SW8CAO6cOIy1M9/A2a0bAACtBw6zOe+3Ny0Fr7MSE7B0zCD88trLTNuweZ+hMM9iX2cncw02Gr+sPPR9/R1GIdKnbj10HV8y0RM+WvUfgqykBCQ9flhiD1ztho3g16ARACr80h4kSWLv0q8BUCuFEpkMbQZTOXvp6jz4LJgPAHhUy4NzHu0tk/LUgDPo+RU67ZH29Ak0+XnIz8ws1XkCAgICAgLVEZFIjNYDh0IqVyCgaTPIFLa55XUahzHbGz+eU5XDExCoUG6k3sDJuJPPehilpjwqlASAtQDukyT5g50+vuZ+IAiinfn1Kqa42QsKXf/MydMLjbp05xwLbt0OgEWUAQBcvH1srvH09k2btrotW6OlOSwCAB5dPGvTxytXjRaxqQh7aSD3dVlhFOzC2k4eXug7dSazb+2tC5s4Aw5u7sx+aUIoB82xCE7w5ecB3FBR76BgAFTxbAAQicVwHz+e9zwXL+ozY5cVoLl3+phNW1FsmPcugKINTQEBAQEBgReVlOjHxXeyQ+KjB/j7y09KvXgqIFAcepMeaj1/LUMAyNPlgSRJTPpvEt49/m4VjqxiKI8HrhOAiQB6ssoEDCAI4m2CIOiKxqMA3CEI4haA5QDGknyzZgGGXLOohrOHFyfkEQDUWZlwq1UbEqmU8Yq9suh7m2tkJsRx9tsNGw2RSIygFq0xd9u/dl87ABI4dOtq0+7hH4C52/5F1wmvA6w/36DZHyKsZ1+M+nQxXl/2O15621JJ4ue676DrS32gcnFl2sQyaRHvnIuTuyej4nhh+xbePmxDtXlfyuikz6HLEFgjVzlAJKbqgRn0OpvjWUmJJR4jm/ptO5TpPAEBAQEBgRcJTX4+jAYD9DotzmxZz1lstebgb8sQdzeCV0FbQKA8tPqrFTps5p+bpRakouOWjthwb0MVj6riKI8K5VmSJAmSJJuxygQcIElyJUmSK819fiFJsglJks1JkuxAkuT5ihv6iwmtKOnmVxtiiRTho8YxxkFKdCRkSiqUoc2g4Zjx5zY4WClDAUDklYucfWv1PZFYwmy3HjgUXSe8Dt96IaiVp4GUx6NHwzYou014HX4NQgEAgc1awK1WbTi6e6D163Nw1LM7PhvUGAqpmPGMAUBmQunqcE3/YysAytP2+9uTmBIFNDE3rwEAWrw0EI4sTx9dS85o0MNl2DCITCQU5oLkbIOX7TEcMvcTAMDVfTvx+MqFYsdmNOhhMhnhbPbmsT2RAgICAgICLzqz/toJZy9vAFT6wYPzp6HJz8eKKWPx34ofcPvoQVze/Q+u7N2J3LRU3Dt9HEaDlafNvCj84Nypqh6+wAvMzdSbzPaDzAc2xzMKqWDA769a5oR60/PlBa4QFUqBiiMjLhYOrm5QmUVEOo4eh/BR45jjKdGRAABCJLKpM9bzNVvlw9YDh3GMKMBS6+WVRf9D90lvou3gERjSewhM6ekQOdivXSZTWgy4gLAWvH3k9VvgvlMjhNailB69g4LxkU7I0QAAeRFJREFUxs9rEdyqLfq8OcPutfkgCAIEIYLJaER+ViY2fDiTU79OaRZ66fHqW5zzXHwoo2r/8v9B9e50mEQEQt28MHP9dnj412H6SWVyBLduh0ZdeiCkXUemPfXhAxRGFB0SuWz8cPz4ylDIlUrUa9MeIrEYsfcykBabV6r3KCAgICAg8DwikcmYnPxja3/D/p++w4opYwEAD8+fZgJ2Io7+h9UzXsd/K37AsvHDceyP3/D4ygWQJMl43i7v/oc3rUFAoCz8/dBS3mL0vtF4++jbzL7epMfL/75sc06ONsemrTojGHDVjMykeLj7+XPaaNl7AJyQRJqX3p6FwGYt0bKfrfJhgw6dbdpamHPcaoWEMm3x06YBAPKOHLE7NqncUufMrZYfb5+sAios0d3BItHv4u2D4R9+zpuvVxwkafG6pcfG4MZBiwJmUuQjuPv5MyGRNCazkff40nncOHKAGoPSkbdO2/B5n2HADEqps7/5//wdOxDz8hjcD22E/LPnbM65d/o4s50WG8P8ffYtv4W/v75S6vcoICAgICDwPOLkTunS3Tlx2OYYIaJy5tXZWZz2m4f2Y+/3XyHh/l1OO10SSUCgvDhIuc6IcwnUXM5oMuLD0x/ynYK4vDje9uqKYMBVI7QFBUh69IAj/AEASieLATdhyTKb85r26INRny4CQImfAGBUHF19fG3695w8Fe+u3Qr1+fMgdTrOqpe0Th2b/jROHp7M67GNOTaZarMBp5LxHi8vIpHlK5sS9RgBYc1t+tAhlABw/b+9AAAjKwa/MCIC6suXbc5r1Lk7AOCB2FJbLu0nqk7e4ysXkJOagrSnT/DfCq5mT9zd20h4yH1ACQgICAgIvOh4WUX4sNFr7Oe+AUB2ajInkohPXE2gcriTfgdZmhd33qIx2n73tEYtHmY9xJGnXEfFhEYTMLrBaDhKS1+r+FkiKb6LQFVx8zBVl60gJ5vTzjaW6NUue0xe+iuMBgOULK+dNYRIhNzNW5D2ww/w+9//IA+pzxzzX/6T3fO8g4Lx2o+/w823lt0+WWYDzrWCDLimPfrgzgnLj02jVsNoMODRpXPQFqiZMEo2ckfbH6FXgUWw5Omrk0EWFqLRg/ucPnTpBAPLo6do1AipMdHY+/1XkCqUaNKtl821PQKGYPePN5j9tLg8eNWx//kLCAgICAi8CLj6+CKwWUs8jbgB76B6SI2JYo5Zi4lJ5HIYtFo06d4bd08eReKj+9BrtXDz80dWYuly5AXKjsFkwCv7X0Goeyj+GfzPsx5OpZBWaFtPeuO9jXBXuNu013Wpi5cb2oZUVncED1w1wmhWRRw4a16ZryFTKIs03gCANBqR9gPlRdI+eognw4YDAFThHSB2tjWI2Lj71QYh4v/amEwkzkdlwEkhgUxSMV+tl96ehfe27sPMv3ZAIpOjMC8XD86dwoHlVLFvucrWWFM6OqFpj77Mvjcpgvb6dcbTSBYWAgAM6emc8zT37qFuozCIjSboxSJIa9dG3OmT+OtDSqBErynEzUMWFc+xX3wHucubSIrmft5ntj2CUW/C1kWXkR4v5MQJCAgICLy4NOjQCQDg4OrKaWc/Lxt06IxZG3Zg7rZ/0e+d2fBr0Ai3jx2CyWhAg/YdGXG16BtCGkJlk6xOBsAv7vGikFGYgfBa4RhQdwCcZNQc7U76HaQUpDB9+gT2AQAMqTfkmYyxvAgGXDUiPzODI2DCZtSnizHpu58r5HXyjhxltjNWr2G2Pd54o1zXPfkoFReiM5CnMRTfuRQQBAGpTA4nDw/kpCTh6j5LzXhtQT7vOQ3NDxQA6BrWBgAQM3IUp8/jzl1AskRRnowYCcXREzCKRTjStC4eadXI1NsPAakd2hiEyGK8tR9KhZIkRebgwq4oZCTkY9ti4WEkICAgIPDi0rRHHwya/REGzfkIdZo0w5gvbHPZrBWzafVKAPCt3xBNulPRLbuWfFEja8IV6AuK7aPWqxG2Pgxh68OQr+Of+5SE2NxYZltr1Jb5OpWB3qjHnsg9MJGm4jtbcTf9Li4kXkCuLhcPMh/gRuoNfNv1W+wZugcA9V4zNRav8EftPkLEpAgoJPwpQdUdwYCrBmgLCnBo5U/ISk7kCJawCWzWAl6BdSvk9fTJSbzt8pCQcl33YTJ1Qwnxrpw4YoWTM57cvMaUWgBg90Yf0KwFOo+dhGlrNsN3/EQAlIfNpOYWdSy4dh0AoE+hVmXkLIPufm0P3PX3srl2n7dm4PVl60CauIpZwS28EBTmAQC4dfz5SoYVEBAQEBAoCyKRGA3DO0OmUOLlz76Gf2gTmz5qq9QQthBavdbtOEIn+ZkZlTbW6sjBJwfRfnN7PMp6VGS/x1mWgumvH3q9zK8Xm2cx4NpsbFMuY7Ci2Xh/I+afm48Zx2ZwDM2SMHb/WLx15C2suU05JgYGU4J9XiovdK7dGTdSbyC1IJXp7yh1ZFJnnkcEA64acHbrBtw5cQTx9+5AIqsc8Q82qUuo1TF540ZMm6JJE0i9LStiGYn5SH2aW6rr3k3MgVIqxu7pnYrvXAb48t3CR4zl7SsSidF++MtQOjlDHlwXHm9MAQBkbtrM6ac158Fl/vEnAMCp6JxrAEDsPSM2fxGBC7ujOO3utRzgFWBrgF/YFYm7ZxJwaW801DlaQSpZQEBAQKBG0H3SmwCosj1sfOs1AAAENmsJgiDQ580ZEEuoMEpNfs1JPUhWJ+OD0x8AAKKyo4rsO/G/icz2/cz7RfQsmtW3V3P2w7eEY8G5Bbx9z8SfQUxOTJlfq7QUGqgUlzMJZzBw10DczbhbzBm2/HmHms+91cxSYupR5iPk6/NxLPYYPJWemNVqFlRSlb1LPBcIBlwl88fZJ5j8p63iIU3MzWucOPGM+Mr13LCNh7p/W+pkSP24wiRbv7yMf765WuLrPkjOxb8RSfByksNBXjnaONYGnId/AG9pAD5cx1KGHp37V2f1akAshiGLWvUzpKcjz6E2rnT4Dg0cW0Est6hbSkgV6obNZvazUynX/o3D1OqQu58DpiyliqXXqudq89rXD8Xi5KaHuHogBus+PIeY2zVrdVFAQEBAoGbx1m/rMOGbZWjedwCa9x2ILuNe5RynQygdzKWRHN3cMWr+YgBAYV7pFo+fZ369+Suzza5DZjQZmVw1gMrfsqYshafvZdxjvFAtvVsy7bsjd9v01Rq1mHZsGgbvti1RVVm4yl05+2P/5V+kt+aPO3/YtPk5Wry8WpMlVLS1T2u8EVa+lKHqgGDAVRIkSaLn0pP48t97OPkwDWce2yriAMDB35Zx9lv2G1Sp4zKkpkEjd4PrB/NBSCyGFqFQ8vbPSSs6LjtLrcP5qHT0W3YGABCbWXwcd1khCO7XdfLSX+30tEXm7w9FE0tYh6xuEMQuLjBmZwMA8rJ1SAujPvtYaXdIlD2YvgaiEEnxltf2rssNZQ0fXg8KBykAwL8RN86fjzunBLUtAQEBAYEXFyd3T/gE14dEKkXvKe/Y5MB51gnE0A8WoOfrlgLL7rWpMkYZ8aULnavO5GhzcOzpMeiN/MbWjdQbCPMMAwCkF1qE1T47/xn6bO+D6OxoPM19ilf2vwIA+KbLN/gs/DMAlFAHAFxMuojFFxfjdPxpPM19iqKgwzBfCX0Fy3ss5xwzmoycXLy9UXtL81bLTWpBKqJzokvcX2/S4887fyJPl4cfr/3IOTah0QTO/vHRlvq91kbi84pgwFUSKblaRKdZ8q0mrr0MvZHy3Nw/cwJLxwzC0jGDmLjv8FHj0LLfYHQZN7lSx6WNjsL58MXYeYXrcaNDDK05+/dj3nYAOPkwFS0XHcG41ZeYtre71auYgfKgzs4svlMRKBo3Zralvr4Qu7nBkJqGnDQ1jkmHIUbRjDlOECLInakVGpkzFbYgdRyG8FGvwKjnhkD6hbiyzrPEU3vU5s8FfJ5jrgUEBAQEBCqC+m3ac+rAKZ2cIZZIbAp/P898fOZjzD45G603trY5ZjQZEZsXiw61OsBd4Y6zCZY6eLTxNHTPUESkRTDttR1rw0flAwCMouLy68ux7eE2TD82HYN2DSpSEOVx1mNICAnmtZ0HV4Urbk68ieH1KSXyOSfnoP3m9lDr1cjT5eHLC18y55XF21dahu8Zjm0Pt9m0sw1bNv89+Q8/XPsBHbd0tDnWxb8LZ18mljGG7/NYMoAPwYCrJNLybJV95my7CaPBgAO/LLU51nH0OPR8bWqlT+7zHltCNI1GE+rsPYDALZuhaNiQaSdJEgpHyqOk0xhtrgEAJpMJf/56A94G7nhf7xRU8YM202nMRIS074ipKzdg2totpT7foavlB01IJDCp1cg/fhy3h0yw6evoJodfwzpQuL0HkZiqvSeWBuPOOX9E3+B6U6UyMWd/2q890G5wXQyc3gxDZrewubZey/+ZCggICAgI1FQIgoDRYMDVfTthMr0Yz0m6oDQJ29z3TE0mTKQJPiofZGoycTfjLq6nXLdRhvzk7CfMtq/KF15KSlztcMxhABZPHM2p+FO8YzGYDFh/bz0MpAESERWBJRaJ0diDWtw+EXcCANBhcwf0/qc359y43MoXZsvVWUJnV/ddjdmtZgMAjsce5+0fmRVp91qh7qE2baMbjMbtV2+jgVuD8g20miAYcJUEO5SwfV2qcOC/EUk49+8+m74yJX/4YmXw8L5FpePYuvtY/8MTJJpqw8RSVLx5NA6afD1EEgIpMbkw6m3lXHt/cAjttFKMVFsSk7e+1QHezpUnx+pTtx6GvPcJHN3ci611x4dznz4IOX8O9U9QNwNDMhVfrlF4MH0c3eQYM78txn7WHn2nWEIu3c2JtHqWQSuRizH+iw4gRFwjlhARaDuwLpzcFagT6o5XPmuPZj39mePagponkSwgICAgIFBStFaK0c8rbDn8xRcXY86JOXjv5Hv48dqP6PlPTwCAp8qT6fPqwVcZQ8qaMQ3HwNfBF94qKn9ww70NuJl6E4nqRE6/eafn2Yh/5OpyMf7AeN7rdvKzFZ4rMFBz2G+6fAMA+PH6jzZ92MTnxTMCJGVBZ9Rx9jvU6oDXmr4GlUSFM/FncCHxAue4Wq/G34/+5rQt67GM2eYr2P2iIRhwlURMBnXzufxpL3wyQgXH0I8hdryP3w5ZXOEDZszFyI+/wJSfVtu7TIUTl2UJ63t8hXK/H1p9B9cPUnHTJqMJ53dQqxqh7X1h1Jvw+FoK5xpXjjxFWy21euNIUsbLuY96okOwB6o7End3SGtR4aMSHyoMIdcpkDne/+0wePo7Qa6UwNFNgUlfd0TPB9+g8YMNnOu0HVQXU3/qBlef4lWM3P0c0OXlBnj507YICvOARl2xdfIEBAQEBAReBIJbtwMA6DUlkISuhpyMO4ktD6gIIYPJgGsp15hj2x5uw9HYozjy9AhHdKOWQy3MajWL2VfrqPnjwZEHmbbvu32P+R3mgyAIuCks+YS0MmUr71b4vtv3TPsX57/gjKvTlk64l3GPd8w+Dj7M9vbB25nt9r7tMbDuQOZ92eNB5gP039kf7Ta1s9unOJ7kPAEAeCm9sG8Y5egQESKEuofiZPxJvHXkLWRpqNBavVGPDps7QK23GPkftPkAPer0wJIuSzjv4UVGMOAqieg0NXyc5fB2UmDqkakgCBK13Dahcc4tAMCcLXvQqEsPBLVoDZVZhakqyAX/a13aG429y28iJ82yglI7lLpJHFtnkas16k24vCMKAQZL2OBbLm6o7cr1IpIkicv7opGdUnmiJuWl/skTkDdvhkz3xvDzMWH8Fx3gHchVunRyV8B//oeQ6fPR/dS7EJOU96zNgKBSv55XHSe4+zlCna2FroKLnQsICAgICDzvNO5CeaVyUpOL6Vk9eff4u/j60tfo+XdPph5Zax/b/Dc2AU4BeCPsDbzcgMrN+vUWJdDmJndDa5/WmNpsKl4KeonpLyJEGBkyknON2a1nc/ooJZY5WbYmm9P3554/c/ZlYhk29N+A02NOo6F7Q+ZcL5UXCIJgPH5h68NsrgWAk6MXtj4Ml5MuI0WdAoOp5PMcupTCzFYzEeQSxLR3rt2Z2b6SfAU3U29i7Z21nHODXYIxqckkiAgRBgYPREP3hqgJCAZcBaM1GKE1GBGdno+6ng4IWx9GrRKQwPDTtaEyu4lFInExV+In9+BBxLwyDrlHjtgcM+iM2LroMs7viIRGbRumZ8iwxEmHdattczzuXia2Lb4CgBLgCG5hW8S6IE9n0+byVMMJs7x7JgFbvryMK/tjsOnzizAZbUMwqwMkCfznNhVahRsa929i15sm8fEFAIhIEwa7nsT0lT0hEpUtV9E7iAr9PLOt6IKdAgICAgICNQ1X8/O2sksqVQZs4yatMA0rbq4AAEYkxBqZSIa2vm3hKKMio4JdgwGAkflXSVVY128dZrScYXPuwo4LOfuBzlQk0cYBGwGAyXEDgIUXqL4tvFrAUeqIbv7dbK7X0rsl49mjQyHp3Li5recy/SLSI2zOTcznhnBue7gNvbf3xtKrtnoPAJWzF7Y+DJvub8Ka22uw9OpSxgPXJ7APp29X/67M9txTczHxv4nM5woAp8ecxo4hO3hf50VHMOAqkJwCPRrOP4iG8w/iRmw2fDwsCZlOBZYfk14ptTn3YXIeotLy7V47e9duJC1ciITZc1B44wYS3p0JUyH1IyNNJFa8fRy/zzyFjIR83DgSi7Vzz8BosBhOpMGAwoeUoqRKBXQZ2wCtXgpA17HcZE76nMHvNodEKmZyt3b/cB3aAj0Kci0GHO2hA4CV756E0WhCYb4OJzc9RFaSxbV9aPVdbF10iXNudUCTbzFyA5rYD/9UhjVF7R+WQh5SH9p7trVYSkPdZlSse05q2WPFBQQEBAQEXkS869aDVKFEZtLzV25n68OtvO2NPRqjX1A/Ttv1CddxbeI1/PGSJZSS7amjBTxKQmuf1nCTU/Ox5l7N4aPyweXky/jr3l8AgGOxxwAAa15agwvjLpRYLK9/3f4AgL5BfZk2ttAITUJ+Amo5WJTNLyZdBAD8G/2vTd/HWY8xYOcAAMCSy0vw0/WfsO7uOgCUwqaD1IHTv4FbA0xrPo13fMPqD4Obwo1jrNYkBAOuAmn+5WHOvkFOhR7+3XMjFvrOZNqPhcUjNoMbWvjSstPotdRWOcik06Hg2jUkffwxsrdy5VVz9uwBANw5ncA7nrS4PABA7pEjeNiqNZ6sohI+W/b0A0EQCB9eH2Hd/W3OE4kJqJxlAAA3s1cq4VE21rx3BtuXUMW9T9YRYdjslqjDqnu2cvpJ/PH+WZvrRd9MQ0aCGn9+eBaPr6ZwBFMqirxMTbE166yhDcqAJh5QOsmK7Os8YACcBw+B9nEkx5NZWkRiEYKaeUKvezEUtkqCMV/NFEwXEBAQEBCwB0EQcPX2QU5qSvGdnxEF+gKM2z+O8RrR3M+4Dxe5C0aGjMTQekMBUB6k+q718b9u/8PJl08CAELcQiAV2y7kh7qHYvvg7Tj58klMCeMv7cTm6KijmNd2Hv586U+OUTam4RgAwHdXvsM/j/4BADR0awi5WM57HWv+eOkPjG4wGh5mgTeJSIKL4yij7OMzH4MkuXO4yOxINHBrgLNjz8JH5cMYednabKbPO0ffwcLzCzFi7whGIIWNk9QJa19aa9NOEATeafGOTfuyHsuYsgA1FcGAqwAKdAYM/cVsuIg0gIiSgCUl6XAWOeLA+5/i9jbKxbuzawKSPTXo+v0hJOdosGD3HVx+Yr++WcrXX+PpeK7MvaodlSiavJBKUtUWUnHG7QbXRZcxIUy/U5sf4r9FB5GzazcyHIJxRkEVqq7bPpBzvX5vNUVoR25dOFpZ0cGV/wdvklNfnZ6TGvMeB4COI+pzG0jg8Jq7WP/ROeYGYNSbyiyrf35HJE5uegCSJLHhk/PYuOCizY2lKArNBlzrfoHF9KRQNqVUKbO3l89d7+QmR3pcPlKf2q5kvYg8atMGj8M7InPjJiR+8in0yc9nboOAgICAQOXj4O4B9TNY9LubfpcjjMGH3qRH+83tcTv9NobsHsK0pxWk4UzCGbT1aYuFHRfi846f4+ioo1jRawVjXHkoPfBLz1/w50t/2r1+Q/eG8FCWTBDOx8EHExtPtPGoseuc0bXcSlP7rK1vW3wW/hnnumzPGLtYeLYmG5HZkWji0QQuchcEOAdwrmUiTSjQF+BswlnseGx/7rSq7yrUdrRN7aFp6MbNa+sV0AtSka0RXJMQDLgK4OzjdNyKzwEhyYFTw4Vwavg5urV5gDMpe9D9ElfKtEfYMACASJ6KoSvO4vjZOBz/5jxCspMAUMYgDUmSHK+byMUFDW/dRJ3fVzJtOf/uh1ath4kA7rkBzXrUwdsrugMEkB6Xj+gEGWJvJOBm83eZc1y8uIIj9Vp5o9ekRhj2XksAgJOHpRRAnUbuUPP8RkKDXAFQsvujP25jc3zq8m5o2TcAjTvVsjlWkKvDr++cwJOIdOz56QZWzToFkiRBmsgixT3yMjXYt/wmMhLyEXEiHjeOxOLumUTE3rUYwE9vW7xjRoMJ+3+NQPKTHABAbkYhHl5KBkmS0Kj12Lv8JgDA2bNkpQ9Ezi4AgLQfLXK6psLCUhmNAFCnMfWdOLS6fOGY1R3SaMT90EbMfsrixcjZuROR3XuANNYcD6SAgICAQMkpzM1FSvRjLB0zCEdW/1Ilr6k36jF2/1h02NyhSPGNzfc3c/ZH7R2Ft4++jZ7/9ITepMfbzd8GAEhFUo66I023Ot3gInep2MFb4SJ3wYC6AzhtwS7BFXb9jfc3MkbcnigqEizEjXIefNnxS07fPF0eDsUc4rR92fFLXJ9wHQs6LMCn7T/FhVcuoKln0yJfk/ZIftvlW0alsqYjGHBlwGAy4OtLX+Ni0kXE5MTgaUYBABMcQ75h+lxXr0P7u25wT7OsYDQM74LXm1GSrwq/beiUSGJcvhxOIhXeffoQKhNw62k20z//OLd4Yf1jxyCSyyFSKuE6lnKRJ77/PhIu3Aepzca3Oyi5WkIEsGtG3mxOhW9KdXnoH8Jf+DAxuxDHk6gVL7bnTCITY7WzBgdUOtyRUje1JLEJX44IY/p4BzojfHg9KByk6D81DGMXtIPEXNy6x8RGmL6yJ+9rHvg1AkmRlHF15d8n+HXaCayefdquR+7BhSTE3svE1kWXceOwZQXo319uMds56VRumdFowtX/YhATkY59P90EABxadQdH/7yH1Kd5OL/T8jk4upXMgFM0obyNDl27IPfwYeTs24eHLVvhcafOxZxJETVwEOLnzEGQOQ/Oo7ZjMWc83xhS7IfA5B05ClKvR8aaNTDmvxj1fgQEBAQEyo9XYBCzHXH0ILKTkyr9NXN0Ocz2zOMzi+hJQYtrPMx6iHMJ55h2PgXEhAf3cOfEERxdswImoxExt66jIDfHpl9F8m3Xb9E30JK71sK7Rbmvef6V8wAokZJBuwbhesp1fH+VKl1AK1X6O/ljYuOJzDm7I3fjs/PcUMfhIcMhFUvxcsOXMTZ0LCPiUhT9gvrh+OjjGBA8gKNSWZOpmZl/5YAkSZxLOIctD7YwtT588j6GQ931Vh2BkDhLsekRH3+BgKbNIBJLAJJA/5jBCGZJ8WtUtTA9V4ndv9+Ac/4xBH/yLuKnU8pDytat4Tv/U4gdLS5sr3ffZbxzOZkG1M56gGURBzHsSzG+2fwJ0N2i0kPzp7MBPr0Ggm8dpvv3J6EzmNAizBXTrdQna7sqEdzUFc4yMbafT0CMxITFViqMrV4KRKuX7Icidh4dgqgbqRg+txXO/v0YESe4CcpX9scw24fW3MGg6c1trqFjFdHOz9Lyvk7KEyos8e7pBFw1X1OnMeLyvmikPqVyAjMT83H/HPVAePvn7nbHbA1BEFA0bgz16TNQnz7DtBszM0GSZJGJwcb8fOiioqCLikLhuHEIbOqBvMzns85NSaFDJZ0HDoSyVUukLFrMHCu4dg0Js2cDAIw5ufCe+x7yjp9A0mefwfOtt+A+aSLfJQUEBAQEXkD+uvcXbqfdxpKuS9Bl3GTcOWFR2j686meM/ORLiCXUlPXAL0vx4OwpjFv8PXzrN7B3SQ5Zmix03dYVb4S9wam5ZjQZ0W5TO+hMFpG1MwlnkKxOhq+Dr811ktXJUEqU+Lnnz2i+gTtPaeBmGYvRYMC/y76Fg6srbh35j2mnt72D6mHitz+VaOxlpU9gHxx+ehhtfNpUiNCHk8wJQc5BiMmNAUAVHafxc/Rjtue1nYdeAb0w+eBkxsADgEWdFnEKm5cGgiDgpbJVRq/JCAZcKVh79gkWH7wAVeBKiFiaFylO3zCuzI5+HXE+8TxqZftDYiIgkjaEVNUTzl4NIZZQsYgLmy1G8kXuikOmOb43IF+Mk+iLBzPXg84uC9q00WYsYncqDC/dvQl0clcoC9NQJz8Ns/dQk+TaCaeR5NsBbtmPkeHRBI+lRiTJFZi19Sb6NPbAr7d+QafanRDuFw6twQidWX3yZlw253UuP8lETEYBOtb3xKzeIbibnIeTY1uU+rNr3qsOmveqAwDoNKo+tIUGPLyYjC5jQnBm22NOX3YYJI1BZ8TNI7GctvZDghFxIg6FeXqMXdAOxzfcR3ZKAaJvptlck20gHt/wgNkWS0vnhNbc4y+EqY+LgywggPcYaTJB+8gyHs39B3D2ao+Ex9kgTSSTb/iikfwFFUrhOe0dyOvVg9TPD4rGTZD44YfI2bWL6WfIyoRJrUb8NEppKuXrr+EybCjEzs681xUQEBAQeHFIyk/Cd1e+AwAYSAOOPD2CybAsCMfdjcCy8cMwZO4n2Lv0a6Z906fvIazXS+j71rs217Tm7aNUaOOa22swqfEkRjI/KieKY7zRfHv5W/zY40dOm96ox+n40whxDYGIEOGbLt/AQeKA6JxoqKQqvBL6CtP36r+7EHnlgt3xmIyVXwu2b1Bf3Mu4h8H1BlfYNVf3XY0+2/vYtHkqPTlt1rXvLo27BJWUv1STQNkQQihLSFRaPr4+th+OId9AJMuCSe8MYwHX49TGvR06n56Mty/8hGnkdACAWNYQhEjJKB7qCg3wz7Ws0rQUHURgxgUYJdy8tGTfDtBLlPhz4kKm7d+IRHT4+hhi0qmQs+tjfkFEM2rS66imPEo+akrdp8Hjbeh6di7cnmzHUhc1djvoAAIATGi/pS3W31uPOSfnAABmbrnBee2gj/bjXiLlyRqziroBtajjCm8nBXZP74RAD67Ma2kRiUXoPbkx3lreDc161GHaazdwZbYNOiMMOiNi72WAJElE30wDQImqhLT1wZTvu6DNgCAMmNYMg2Y0h0dtRxTk6pAWm4f/Vt5mrjPqQ9v8PJouY0q2csdG1YZ7PYfOnQGRCFmbt4DU89Tey8pCwntz8XTcOKZNfeECPPwcYNAakZepgUmrrVRhD9JggD6pZCEoaXF5nGLuZUEXH4/7oY2gffgQABjD1qlHD0h9vCGvXx+mfEvJjJztO/CwNfdz1T19CgEBAYGqRmfUlTqvWaDskCSJvjssoX5HnlKet72dkjBsHjf0jm280dw+dgj5mfaVod85+g7C1ofhXoZl8bXrNir8MUWdgt2Ru5n2heELcWncJQBAemE6AEp1sePmjtAatWi1sRVi82IZQ2RQ8CD0COiBKWFTOMYbACQ+tLyeVKFEYLOWCGreCl5BVAyUysWSB5fyJAr7l/8PRoMeRoMe8Q/ucq51adffSHz0AKVFRIjwXpv3mPy0isDXwRfbB2/ntLXx4Z9nnXj5BDrV7oRNAzYJxlslIHjgSoBJq8WDXTvw1oMD2OMlgVOBBCnOOmQ/fRtdZB/iiS+BTk4dMVY5E+fTqAKMT29RhZpFEsoFv/enm2jVLxDXD1ompkeDf0DPP6Jg7PCK7YsCONP5e/ydU4C/P9qPsW3rYOsVqrDl/w49xOed6yM7hfLcOOfGwNOquOKMd8RIUXlCHUVVt/9udAjORiXjROF0po9cLEdcZgEO3aVylXyc5UjJpUITt16JxaxeIaCfY6Nb25YbKC9Sc55c17ENQJIkmvWog5iIdOz/NQLrPjoHbQG1QqV0kqJeS29IFWK8+nVHjsfKt67lJhg+oh6OrLXcNN9e0R1isQgt+wbgxmHKe+fsqUBuugbjv+hgt3B3UQT8sRYPmlFhE40e3AdJknjQrDky161D5rp18P38MxTevIVa33wNGI14HN6Rc75IpUL+iRMwSn0BdEbC6Qjgk8kAgIY3b8CUn4+CGzcgUqmgatsWUf36wXvOe3AZPKjUYzVkZiJmzFjo46jvjSIsDHX/+dtuf53GgL+/ugKJVIQeE0OhcpHDv6Gb3f5sUn/4EfqEBPh9/z+kfLMEgCUNk5ByVXBcXx6NrI2UV9nnk0+Q8rXloew2cSKy/voLMaNfRr0jhyGrUwcCAgICVUGuLhd9/umD3oG90cSjCVbfXo0DIw5AabXAKlB2ktXJcFO4MZL2sXmxvP0yXXQoDLT/jB63eCk2z6cKTB9f9zv6T3sPJpMRcpVlgflG6g2cTbCUNprabCp+j/gdABC23pLH765wx6kxljJOI0NGYsfjHZw+3bZZil9b1yrjIzctFXUah4EQEWjctReadOvFHNv34xI8ungW6uwspD6Jws4lCwEAzfv0R+SVC7i2fw8CmjbH6AVfwWgw4OzWDQCA97buK3ENt8qkoXtDrO27Fl9c+AIb+m+wG57pqfTEyt4reY8JlB/BgCsButgYPDj2DyQQYeQpSub0Sf3mmDqpGSQjTMhWqnC+QSKO4yOIJHUhdRwE0pQDQIKpvwzA4TX3EBORzjHeAGDanigAgEKXCtjR0QgyihEjMjHGGwDsv52E5tcsHox/Wu3Fdy+JMfmIEQOuknjUyBkZkjAQkmsQKRLw47DemH9rKOe6pEmMbG02uvzvMAApfhvfCiSAaZuuAwA2XHiKB0lUzthLTXwq9abBrkUX2JSSz6WNNwAozNPjzukESOTiIsMNG7T1Rdy9TDy4kIy3lneDWEw5mDuOqA/vQGekxeah3aC6yE4rKJPxBgCETIagrVugS6Bq7xEEAVWrVii4RK3a0WGD+WfOQKTkPvQ93nwDqnbtEPfmWyCO7QS6dMaV7ffQ1nz8YYuW0MqckezTDj6p16DQUqIyiR98AJFSAafevYsd39O7GZA9uAzcuQxDWhpjvAGA5vZt6GJj7YZ6rp59GgBg0Jtw5A/KEH7zx66QKYu+TagvXEDGqlXUe5z6FvJPU9e50XwWRA2aoF6BHnKVxYhTNGiA+sePoTAiAs79+nENuLFjkPUXVXw04f33UXcbt/ahgICAQGURlxuHAkMB9kbtxd6ovQCoULpeAb3QoVYH3tpdAvY59vQYfBx8GIXBHG0O+mzvg1berbC+/3o8zHyI6JxoAEBL75b4pP0nGL1vNNrXao9LSZdwLeUaRs1fjLz0NJhMRhxZRSlShnbqhlohDTFn8x78OG4oHl86j8eXKIGNqb+th6M7NY/Y8YgrW/9609fR2KMxZp2YxWnP1HBLOSkkthMydnmBeW3nFfm+0+OeIj3uKeq2aI0RH39hc9yzTiAeXTyLlVO5ud5HVv0CkZha2I69Q4mzZSZYnuF56Wlw9vIu8rWrina12mH/iP3Pehg1GqI6hgq0adOGvHr16rMeBkPKtRPY+N1STpvKpTFenvwK1i//HiTJVRPy0dRCqooSqHhvy1+4260PTjb6mNOnwaNt8E+kJrq3O9VFmvR9tOgTgOMnDuG4xA8SkQLDCiw12B5IDXDu4oN6KgV2H3uClwplyJDl4u+Wn+Hlem/jnye/MX33DN2Dw0/OYEUElTw6p9Vc/HjdMv7C+HEAKYayzl8ojB8HF1MbXFvQByYTiRtxWRj5GzduO/rrARBVYZ7W0zsZOPHXfahzuHHpfd9ogpA2trK8bEhzkfCqzCvTp6RC+/AB4t6aardP3Z07oGhMZTXGTX0b+adO4bhZaCb04Sb4JVEPn8ttPka+I2XQ+iWeReijLcw1Gj24b/f6j6+k4PBaKuxCWZCC8MsWKV9F82Zw6BCOjN+plceG169BpOIasEa9CSvfPcl7bZWzDENnt4T42gkkfvAB0x7w5x/QJyYi6dP5TJusfj3oIqOQ9vYvuP3A8jeglUh1hQYbgzBn715krluPgA3rIXZ0RMH163g6bjzErq4IOXcWhFgMAQEBgcpEa9SizUb7IfcSkQRXx1+FWCTcj0pCjjYHnbdSCs0TGk3AuEbj8CDzAd47+R4Aqgh17+2WRUk6RyoyKxKBLoEYsHMAmns1x/fdLCIYep0WUhm3Nu2BX5bi/pkTzH5gs5YY9ekiAMDofaPhrnDHFx2/gLPMGSqpCjqjDq03UvlZv/f+HTfTbqJT7U5o7mURJMnUZGLGsRm4nX4b1pwde7bYMgC3jhzA0TW/YuQnXyKoeSub41nJifhj1ltFXgMA3lzxB1ZPf53T1rL/YDTv3R8e/vwLsQIvHgRBXCNJ0ubmJBhwJWDP6fN4uu4OQEihz6dWdAixLwixO0w6flELACAktTG+aRAy129AunsTSIwaOOXFIsOjKbzSboIwB5l9s6gJNow2xxQXZmHcimM4n67EB9lFh22sb7oc+RIdzk7cDXcHGQ7GHITeqMfgeoNxJfkKXj/0us05Q+oNwaZ/OwIwwqH+dyANTtgz/G+E+FgUMw/cTmI8cd+ODMOYtlV/oyjI1eHPeWfR6qVABLf0gslIola9yq2dUl7YNc9oRE5OCN63F1JfrpoVqddjzbtHoQP1MGp79RvItTk422mJzTU80m9Doc1Ev9UzIPXyYDyLNIV5OvzxwVlOW8+TVKis+5TX4WM2uujxaToPg9vMuQhq5omMhHxsXXSZOa/r2AY4vfWRzRgUjhJ0/Ne+gcrGKJLhVFdu8ve0X3vg3rlEnNz0EPVbe+OlN4uu+ZK9YyeSPv0U/r/9CqcePUr0ugICAgJlZd7pefjviUUtcGzDsdj6cCunj5gQ48zYM3CSOVmfDrVeDREhEsItzdibg9CMCx2HzQ8sNdVuv8o1luadmof/Yqi/x9edv0ayOhltfdty5PA1Bg3SCtKQHxGFK3t3IO3pEwDA3G3/IiE/Af129MOkxpPwQdsPONdOVifDRe5S7N8qOicaBpMBH57+EF5KLyzqtIi3tps1x//8HXdOHsW76/7mjV4yGvT45bWxcPXxRZ+3ZuDM5vXQazVIiabKG3n4ByAjnj+0lGbWxl2QSAWPcE3AngEniJiUgAGd28KhMAJiaSDkLlMhljcHaUxmjDdC7IOWsWq0SpDBsdDiNWoR/RiZ66nYZc/Mu3DNiYLYpEejEe0Y4y2jrjsi9YkwmoyAJhf4Ngib86cgZslADJnVwu6YEp0iUegUhffDX4O7AyWJ2S+oH6M2xJazZTMudBzWvtoGgBiG/AYQK+ORpOeKmAwIq4Wr83tj4eDGGNX62eQgqZxlmL6yJ8KH14NPkHO1N94AIHDjX3Cf8jrqHaWSsMWenmh45bKN8QZQeWFTVrzE7F9p8zFjvDXtVpvTN8MzDAm1u2HtwttYOf0kMhLyOceTo1keYLNEb7YzlSjtPXcuc8hhzS5oZS44L+mD/b9GQJ2j5RhvACC9fAite1IPqCZ31zLtmnwDYgJegj2CDxyA65gxMBESxnhr1S8QXcdS38Nfp53AyU2UqEnktVTkphctlOLYjUoyj3+HEukhjUaoL14SxAUEnhkGvREGvVCA/kUjRZ2C90+9zxhvizotwq1Jt/Bph08xq9UsBDoHMqINRtKIjlu4ec1pBWkwkSZ03tIZ4w+Mr/LxV1fi86hSQZ1qd+I9zjbeApxsF4mH1rekfSw8vxDLbyzHxP8mIkuTxbTPODYDA3YNwMtR76Ljx7NQr00HAJSHa9fjXXav7evgWyJDO9glGA3cGmDX0F1Y1XdViYw3AMiIfwoP/zp2U0/EEilm/bUDr36/An4NGmHMwiWY8M0ydB47CQAwZO6nNud0Hf8aZz/iyIESjUXgxUXwwJWQa1cu4OJaatJp0EbAUHAUAFDb6IR2ny6DV9Y9yOoGIW3NGpy4dh6O7doh9O+9zPkNb90EDAZALIZIDBgLCpHw3ge4/05vvH/3K2xNSEYTHStksNdnQJe5MBpNgAlY/8k5FObpka6Kh2eBP674H8C1Oodwa9ItiAgrO/zYIiD2ItSj1qDDTkrdaVmPZehQqwOTfGs0kfh4zxn8l0t5aua0noPXm9pfLRMoOSRJIm35cjj16AFls2ZF9r20NxpXD8Rw2l77rjNUzjLcORWPU1tsvWG+ZDyG/zASIgcHGHRGrJ5zGtBp0OXch0jy7YBHDcYCAN5c2hF52QYkReWgUcdaWDnjZLFj73FyBrO4AFBCJHF1eiGy3ghIDAUIbeaABs1d4O7vgqfjxoMEELx7F2LiRUwIJ82UpV2QnVqAHd9es3mdkDbe6PtG0V442mNYoPCEXJcDsUmPWl99BdeRI4p9HwIC11KuYfLByZCL5egZ0BMftfsIkw9OxsTGEzG6wehSX2/jZxeQm67BtF8Fj/CLxKBdg/A0l8pP71mnJ37qyV+ba9fjXUxB4msTrmHMv2MQmR1p0+/ahGuQiWU27TWN5deX4887f+L4y8cx7/Q8XEy6CIBSJuzxt+U3tKrPKoT7hfNe40ryFXx27jPE51vqxjbzbIY/+v2Bg08OYv45S/h+59qd8bHvO/hn0ScAgD2dE5HlrK9S+XqDTgeSNOG3NyegYccueOntWcWfZIedSxbiyY2rGDT7Qzh5eMG3Xgi2f7UAcXctgnXjFi9FrRDbwuECLxZCCGUFcfNoLM7+cw/KxJ/glZOD8LET4GWuX2UNqdOBkFndyE1GYEU7ICMSGP470mLPoWfmSQDAd6np6G8uA8BcgxAjs99iOLeaglab26Bd7EC0SuiLa7UPoeUgf7zb0qr+idEALPJgdh/KpIjoPhejO8wDjHpAyk3OXXdnHZZeo/Ljvu/2PbrU7oKE/ATUd61fLdSOXnRIksTa98+gQVtf3D5JPaTofDEAMBpNWDn9pM15XmQSBn43CpsXnINOB3imR6DZnd+hkbvhfDhVC1DpJEVhHlXaQOUsY0pZWFM74RQCjY8giouETJ/P2yfRtwMehFIJ1yIRgXFftIezJ7WCmR6fj7+/usLp36JPADqNrA+dxsCIowDA1OXd8PtMSu3r9f91htLJ/kRHG/0ElyfOQ0TYOwCA+pE7UCv5Eur88hPcuvOv6grUTEykCZvub0K+Ph91XerCUeqId46+Y7c/Ha5lMBmQo82Bh9LDbl+Ayt1cPYf6Hncf3xBNutQusr9A1aE36bE7cjf6BvaFg9QBRtLIKBzS5GhzQBAEnGXc2pLsvLfZrWbjtaav2S6IslhxcwVW3ipeVc86HLCmUaAvwJh/xwAA9g3fBwDY+Xgnmno2RQO3BojOjsbQPUPRJ7APfuj+Q5HX2nR/E5ZcpqJTmnk2Q4SV4jaNXCzH6m4rcfz9hUzbjZBs/LXoTJXNZZaOsahF9506E2E9+xbRu2hIkkRhbg5ULq42x46v+x03/tsHD/8ATF76a5lf40Xj4aVk5GUUos2Aukh+kgNnDyVUzs//YopgwFUgBr0Rj8Mo70GDPb9DfOE7IOE6oFcD70cCjkVUi/+hMZCbwGnqHFAbOWahhktB46EqzAUuroAeQKu6lPt/rnsbLM28itfSpBAlToW/93KMGrsKCLKayD69APzZj/+1XQKAWTcBVhK2iTThw9Mf4mDMQZvux0cfFyrfVyGR11KhKzSgcWc/TrvJaIKxUIN74d2Q6xTI1P5j0/HCfDQ7/R8gEgFKh2K9bfUjdyCy/kg0vbsG3mk3bI4HrF8PZdMmIBQKZG/fAdIvEFs2qXmuZItvsDNGzrPca26fjIdea0STrrUhV0pw+2Q8k2endJZB5SRDncbu6DSyPnNOUmQ2Iq+lIuJEvM31AWDIK96o0436DZIkCYPOBKlcDNJEoiBPBwcXagJHmkxI/X4pZIGBcBvzconGL/D8kJSfhM/Pf44LSfYL5vLRuXZnfB7+OWYcm4GHWQ9x8uWT2BW5C4OCB8HXwTbkOepGKg7+fofZ7/dWU9RrVT3U4CoLjVoPg86I9R+fh6uPCtkpBegzpTEatLX9fCqCfVH78MnZT+AkdcLJMSdhMBlAEASe5DyBiBAh1D2U97ydj3fi8/Ofw1PpiZbeLXEu4RzOjD2DLE0W1t5Zi9ebvs4UHt4zdA++uPAFbqffxqxWs9DIvRGmHJ6Cj9t9jHGNxvFen02WJoupIUYjJsRo4tkEMpEMV1OoecsvPX9Btzrd+C5RIxjz7xjcy7iH5l7NsXHAxnJdizb2JjaeiClNp6D7392ZY619WmNdv3U4+OQgPjhN5bn5ZsjR75LlO9qy32D0fK1k+dulIebWdTy+dB7+TcLQMLwz1FlZWDVtMnO8Mr1jBr0eP00YDgBo2LErBsyYy6hXvuhoC/R4fDUVYgkBvxBXpDzJxe2T8UiOzuXtP+23Hs+9M0Iw4CqY3F8/hfHCH3CrV8DfwbcZ8OpeIOYsoM2nDK2zPwJX/zAfDwOSqVW6NGcfbOo2DWvvrMXC8IX45/5GfHLvLDLEYsz04RpQhwZsg9+Bj4An5poln2cDBAHkpwG6fGBNL6AgA3j9MCCSUMackcfz4uQHzLnDGHNzT87F4aeHOV2mNpuKd5q/U61Vt0iSfO5/nCWF/q3e2HgBF85pmPb2lxeh0Yqv4RBuCUNhG0lMvyHBCGrmAQcXOWTGAhRcvw5Vq1Z41IE6z2/p9yALC6G5dx++ny2wef3Ex1kozNPj4Ko7NscA4O1fuuPR5WT4hbjCxct+yIpea8SqWads2l/9piMc3RTIy9Rgwyfni/gkAAmpw8TZQbh5WY0bF6gcwCnfd8G+n28i9WkemrZ3g/e34+A5812kL/8ZABXGLJLLi7qswHMESZJotqHoEOVrE64hWZ0MjVGDby59Ay+lFyOMUBSOUkfk6/MhISQwkAZMV38J4r4bDHoT02fkvNbwDa7+ubkloTBPB0JEQOEghclows7vryPlCf+EaNLXHeHkrkBOWiGO/nkPvV5tVOayLDSn4k5hzsk50JuoiAFnmTNyddzX/6v/XxwBC5oJBybgVtotTtuiTouw4JztPcya+q71EZkdiYMjD6K2Y8m8qg8zH0ImliFbm43mXs05Hrtl15Zh7Z21CHYJxp5he0p0vReBv+79BaPJiMlNJwMAev3dC6mFqVjXbx1a+7Qu9/XzdHmMcEy7Te1QaCjE9QnXmbIObGVJAJAYCEw4bMl96zBiDDqN4Ur2lwRtQQFSoiPxz6JP0LRHHyYkkiRJ/DB2MKdvcKu2iL5ORaJUltHIhu3tA6pPjbjyUpinQ9yDTNRv7cOrfr510SVkJJRsMRkAxsxvB09/x4ocYpUjGHAVjckEfFmyIsc2jNkENBoEpNwDHH0ABw9kFGZwVpbYrE1KwS9uLujhG47Xhm4ANDnAElZi7pBfgL0zuCctyADEEiqkMuo48N88IOsJt8+oP4GmVD6RwWTAvqh9OPL0CGa2monR+yw5Ijcm3rBbqPFZkl6YjkG7BmFS40mY1oI/jPVFxJiXh4jOfXG30WtQ6LLw0rTWNjXiTEYTDqy8De8AJ/iHuiMnrRCNOtaq0HEU5umQGpsHNx8VE05ZUkgTid0/3kDi42y7fWRKCeo280SPSdTKe166Bud2RCImIh0A4Jr1CNkssR4HVznU2Vpm3zqfL2jrFpAmExRNmgiGXDUjU5OJh5kP4Sp3hdaohVQsRUO3htAZdUz+itao5YTGjdo7Cg+zKGGcFb1WoK5zXfg5+uGn6z/hpbovoYlHE97X2h+9Hx+d+ajEY3PQumDi9S/hEeiAMR+2w6/TLJLlPSaGonEnP97zDsccRkxuDNrXao8ApwDsjdoLpUSJlxtaPMEHnxzEjsc78EP3H3iVDSsT6/BmAPCs44iw7v448dcDTrtHbQeIpWKkxtgadQGN3TF4Zgu7r6M36bHp3iYoJArk6nIxImQENAYNll5diuEhw5GsTsaii4tKNOZL4y6hwFAAT6UndEYdll5dis0PNqOJRxPczbDk4DpIHTh1u4oiyDmICfOrCKYemYobqTdwesxpxOXF4ULiBbzS6BUU6AuKlZ9/HmHnBq7otQK/3PgF9zPvY0TICHzR0bYGWnlJzE+ExqBBsGswp12tV+NW6i3k6nNRx7EO3AsV0Ofk459FlCDInM17IBKLkZeRDkc3dxAi+6Gyeo0G+VkZ+GM21wib9N3P8Aqsi53ffI4nN21zux3c3DF6/lfw8K988beLO7fh3La/mP1Xv18B99r+EJkX3PUaDSRyebU26owGE2Ok5aQV4uTmB0h4mM0cf3NZV5iMJEQiAjG306FRG3Bmm60uAM3gmc2RHpePC7uimLbQcF/0erVxpb2HqkAw4CoDkqRy2h7sA+7tBdq8Djw9BzQbA6zsAujybM8ZuxkIHch7ufln52NPFHfVTkyIcbPRDMDRF2jY3xL+mHQL+L0rz1UANBkBjP7Ttl2nBraOB9wCgWvrqDZHH+Ctk4BYDijdqBA8AEuvLsW6u1Qff0d/rOq7CnWcno0ipT0WX1yMbQ+pQs//Dv8Xgc6Bz3hEVUfBtWsg9QYoQhtC7Or6rIdTbg6vvYvHV1KYfc86jhjzaTvevk8vRuHfdU+Z/eYRK3Cr2XTevmG3f4evNBXG5GSmjZBKEXL2DMQutpMpfWoq1GfOwGXEiGr94HuRKM6T5qGg8tMyNBn4sO2HmNB4AsYfGI+INCoXZs+wPQh2CbZ7Ph+Xky7js/OfYUGHBbiTfgdXUq7gt96/IaMwAxmaDIzdNxatfFrB91RbBGRTD//0oMcYPiUcIYpQnNn2CI+vpgIAmvesg7gHmXjpjaaIuZOOO7iKNG0KLt6/gSfuEXj16mLkKNNwpu4/SHSJhFyvwrv+HyCsZTBePfgqAMpjNKz+sNJ+dKXCaDDhxuGnuLT3CbqMaYD4B5l4civdbv/BM5ujTqg7U1OTJEnKeLWaMoglIvSZ0hjBzb1s6m9mFGbg03Of4lzCuRKNccvALTgccxh/3uV5frGY334+Fl9azOyfePkEcnW5WHh+ITQGDe5n3odEJMHRUUex6OIiTGsxDXNOzEFsXiwOjDgAJ6kTumzrAgDYPng7GrpXXKjbjkc7sPDCQt5jfM8pg8mAbG02PJWeFTaGqmL7o+344gK/kWbPY1rVHPx1Ge6eOoqG4V3w8MIZAECD9p0w+L2P7Z5j7d1i023iFJz6i1JonrZ2C2QKJbZ+Pg+ZCfGYsnw1VM5Va6RnJMRh3XvcfF+5ygHaAjX8GzXF4Pc+rvIx8UGaSMQ/yMKVA0+QkaCGrtBQ5mtN/rYTpHIx1NlauPk62BzPSMiHwlGKdR9S950pS7tA4cAtufA8RW8JBlxVY9AC538G/NsAT04DNzYC7sHA5AOMkWRNni4P/Xb0Q/ta7dHWty3CPMNQ16UuoxxpQ34acPYH4OKvwMAfAM8GQN0uxY+NJIEvXC37AeFArDmHpNdnQOf3AIJAsjqZyR0Aqkdi9qOsRxi5d6RN++xWs9HIvRGup17H4aeHEV4rHAdjDuKloJfwVrO3oDPq4OfIv1Juj31R+/A4+zG6+XfDkadHMKf1HJvkeIGKwWg0YZc5bEuukmDIrBbwDnS223/X0utIfJyN1o31cPl1NrJc6iOi2TQEPv0PAXEncLKbRUmubpAIbSRXkbFmLecagZs3QX3uPIw5OXAdOQKG9HTEvUkVV/WaPQuuL78Mibs7SJJE4qNseAU6QSwRQSwRqq9UFNb3mNJy8uWTxQqQFEdueiGSn+SgfitvGI0kdi+9jtSntotvf7b5GFppATPh33HoMJJ3FR2ZYCQMEJP8fbY1/wZZKmphYVSDUfg8/PNyvQ8a0kRyDCmDzohj6+8j8loqb/8mXfxQu6EbpDIx9v9KGcVKJyle/5/ts4QkSZz46wHun0/Cy5+0hclIYvu31LO648j6qNPIHZ7+jkhWJ2PN7TXMAhtNXZe6eJLzxOa6tR1rY/PAzXBXuHPa83X5iM+Ph6fSk6NcyGZg8EAs6WKpn3k6/jSmH5tu85kaTAZoDBo4yio3nCpXl4tOW+yLLB0YcYCzGDr1yFScTzyPzrU7Y3GnxRARItxJv4NQ99BqlYP+JOcJPJQeuJ5yHQqJAt9f+Z7xgP/S8xdsvL+RUZqc13YeJjYufchiZWAyGfHjK0Nt2t/4eQ1cvC25cnqtBuvmTkNumu3vZOK3y7F98XwU5lk80MPmLUC91u2Z18hKyoJbLQ/Go2Q0mJAWlwffupVrPBkNBiwbP6zIPnzhlTmpybh9/Agad+0Jt1p+ZTJm8jI1cHCVQyQikPIkFw8uJiF8WD3cOh4HDz9HKBylcHST46/5Jc9R7jkpFJp8A87vtFV4BYCB05shKKxkix2X9kXj6v4YAFTe8uG1d9FrciOos3S4vC8aoz5qA4/a1T+8UjDgnhOqdFUgPRI4/xNwfQO3fcIOoF4vgCA4BtPszCz07LYIQS0nV/nKRXRONE7EnsCy68s47aMajMKJ2BPI0GQUe41lPZahV0Av3mMkSSI6JxrD9gzD+23ex/3M+9gfvZ/TJ9glGI08GqGxe2NMajLJ5hpxeXGIyo6CTCxDR7+ONscFKg6D3oi4e5mo29wLGWvXIvV/33OO+6zZgDvxzrh9khIM6vZKA9T3zoNIqUTSgs9QcOUK9BIVpAbbHFatzAUahRtccmMg8fbG3VbTkaCxPDACGlNeCZWLDN3GNoRYWnKDriBXB7lKAnW2ttRhp88jcblx0Jv0NuFOSflJOBV/Cl9d+oppOz76ODyUHhARIur3mBUF3e07OP/PchzxTsHdQO7nvKbvGrSv1b5c4zMZTfiNR+WVjbufA5I7XMcfSRa1t/a+7XEp+RJCUzqge/QrZX59MjQLdxoeQ0TWTXzQ9gNsf7wdQc5B2Bu1F193/pqp61kS2CGRYd39UW+QA95e/T76PXzT7jkDpzVDUDPLd/vBxSQ4uMrh39CtRPd4o8mIC/se49Z/iZz2bc2XIEuVxOyzjZbDMYcx99RcHBt9DEaTEVqjFi5yF7gpik5JOBV3CjOOm1MFSAKtRB3xTvfXEerYGNf+jUPjjrVQq74rAEp1sirCFbWFBkgkIoilIqiztchIyIdcJYVbHSUmHpyABm4NsDB8IUSEiONlHlJvCPZG7S3iyhRXxl+BQqIotl9lQpIk5p+bb3e833T5BoOCKY/Vo6xH0Jv0dsOXnxWpMdH468OZUDg6IXzUOJxY9zsAoPMrryI7OQkBTcJw7M+V0Kq5Ybdjv/gOtUMpD3xhfh5+nUL91oe89wlC2lue8cnROdjxHRVSKXeQwMPPkUkP8PB3hIOzDFKFGN3Hh9p4gioCo0GPqKuX4O7nD1dfPzy+fB5O7p7Y9gUVKu7k4YXB732E3LQ0XDuwGx1GjMGuJVzPafdJb6JRl+6Qq5yQkZBf5AKqXmfEqpmWPHa24rU9DNoIgNTDZEyF3LE7Rs7rAqWzFARBgCCo35KHn8WYUudo8cf7++BRqwDjvpwETX4+Iq9eRFDzVhBLpVA6Fh9ybjKR+I0V8s5H4y5+uHcmEU4eCoz6sE21VK0UDDgBfrLjgFXdgeBuQM8FwPIWlmPu9YDMKERLJRjqz/VeLeiwAM29msND6QFPpSdIkkRqQSpkYhkMJkOFrhwejDmID059wOx/Hv45XOWukIllCPMMw67IXfjx2o/M8a7+XXE6/jTfpeAqd0W2Nhu/9voVXiovBDgF4KtLX5XoYcpmXOg4vN/mfZhgwoCdA5BawF21c5I54eDIg3CWOeNk3Em8e/xd/PHSH2jr27ZUryNQcrTRTyBSyCHx9WXyG3QaA3YtvY70uHy4eCsx4ctwkCSJ473exIMG4xCYchpOUg306Rl42KBsE/G3f+lerFfu3rlEXPn3CfKzLDl67n4O6P92GFTOMqTH5cEvpOgJbG56IURiERzd5FDnaJGfqYXJaEJ6fD6UTjLUaeQGuariJwel4UnOE9xMvYmmnk1Rx6kO2m6ivu/BLsEQESKs7rsaIkKEbtssCn0ftfsI/ev2Z7wvhowMPBk+AoZU7m+KdFDi/I8T0Lv5COTp8tDUs2mZF5JIksS9s4nISFTjNo/S6ZBZLaDXGBHU3JOTSE//lq3xUPshLKkbxGG5aP//9u47TI6zTvD4963q6tzTPTlLozDK2bKt4GzhIGQwJmNgze7CmrAHy93ewbIHGDaytyxhScYY1ngBrwGDI5ZzkmU5SmOlkTRKk/NMT+eqeu+Ptyd5ZhRsiZG07+d55unp7uqqt6qrqt/fGw+9g/olVbxwbxMwOl1Ge9MArz/dwtxVZSM1XQBFC7zcIb6FIU3aI00UJ6rpDbaRsZLc/fa7mVc4DyEEe7e1U7e0ZEIG0M46PH/PgSlHbB322Nyf0xJt5N/e/i/c/vLPwCs5Gj9Ca0IFX17Dy93X3U2Br4DdPbtp6G5geelylpYu5ZFDjxDPxrl8xuXMLJiJ4zrs6tnFhx5UIzf+bek/033v+EBjINDFqj8r4erFV5ySAj/HccnJLA1PNbPt7iOTLnP5hxdQXBOmbGbktBUypoayvLr5CEO96ZFmtDf983ru/L/PY2fVIDe+kIcPfvlCdj/Xyp6t7Wy4aRFt8XZ++4tn2F/4CpFMMbvLtzCrdxn1Xatxb2hi4KEQvcE2Xq55mGAuQiRTxOfX/BUbV19xrOSMM3YAKI/P5P1/cz7x3jSRIv+bGmjmaPwo77///cQn6w4CJ13IcKZ46s7beem+3054PVxcwqKLLmP9Bz4y0pfsWFzH5d7vvDau39bxFFaGWPm2WhauO7kWQW+G6zj824cm1j6eCF/kUjZ99mPUzC/E4zWxcw6bb9t5zGbXY0lpI51eED7c3AHs1JPj3vf4fFz3uS9QNW8hu597kt6WZqrq5/OHH3yLyvoFlM6cxWsP3z/l+v/HHb/GtCyQHHcEzuEWO2UzI5O2rhi28ZNLmbX8zKn1HqYDOG1qTg6EofrX/dMMNUjKG+ysv5TNhWXc3vXChPf8ph/btbHlaJvmhUULSdpJDg8epjpczZ0b76TYX4wQgudanuNrz3+N1kTrSK2YK90J8+9IKbln/z18ZctoM5hvXPINrp117YQ0fPm5L7OkZMnIAAE9qR4K/YV8YvMn2Nmzkx9f9WM++MDJZdC/d+X3uKTmElzp8uTRJ/nsE59lffX6cf05fKaPjDOaKS8PltORHO3LdVH1RTzb8uzI8+9c/h3mFs494/oTnsv62hP84qsTz9uTseaFWwimOhkomMXh2g0U1hWzLzH6HRZ7B6jq3EbXvLex4Io5ZDKw6KIq/CGL1n393POvr5zwtq68aSEL1owOOLN3axtP/bKRXMYB1Dx8rjv5fftDX71w0j4Bw6SUPP7zPezZ0sbMJcUcfr2H+vPLKSj28/rTLWSS6hqunBNl5tJiKmZFKZ0RwRs4dlNBV6qM6/I7lp/wfgLcce0drCxbCUDfXf9F17e+hdPXN/J+V/EyGpZ8HIRBcU8DS1+/Fat+PnPvuRvDNOlvHWTnD37PUNrAv3wFqzbOIdGfIRXPMmNRIe0H43gsQfxAC+5j92Id3c3hOZvY2TG+Cc7Hv3UJyYEswagXr//Y+5qyU2z67Saybpan3/04Tde/C2yb4ptvJrRuHVa5ml5gsDuFaRkjU1qM9ermI2z57X58IQ+ZxPH7gkgkAhWQzFxSxNE9fRQuNikLlbJ7y2hN18wlxVz0vnr+88tbR14rucTl73J/ddxtnKhH3vMI33nlO9zXNH7gj1AmisDgiv03UjVYD8Dc88q44qMLsXxvfiTjF+5t4qUHD53UZ+avqWDDTYvobh7iuV/vo3ZhEXueb2OgM8XHvnER/vD4ILi3LcG2+5pYemkNlXOjGObkBTKJgcxIv5rJxMqDhGI+Wvb2TbnMyUqvPEpgdZJDiYPcvPxmnjr6FBtmbhj3GyKlZHBwiPu/uZP+jslHxk5ftp+fZb7LXyz7C25efjPPtTzH9177Hl9eq347b2u4jZ80/ISkneQD8z/AJTWXcPOjN498fnX5aq6fez0XVl446VQbp9KerW10Nw8RivpYcWXthL6Vp8Lzv/kl2x95iFh5JS17dlK9YDEfuOWfp1y+7cAA2x87woFXutQLAgorQvS1qVq7mgWF1C0twbQMnvrFXiyfyfWfX8nLfziM6THG9fGGk2sK+GalEzl+9bXN9B75BdIdn6/zBDdgepdSVR9goPUP9LZM/htleGqJVS6hv20XpnchhlWLMCIYpuDd//s8Dm7vpu3AABs/uRTLZ9LXnsTypsZNqTCstG42XYeaTsm+GaYH11H3zpnLVrLxL//XMfv6peJZAhEvuYxDvDdNUWWIvS+00/jsARZU7MMsrGb2tRvUqO5nGB3AaSem+SXYeQ+s+RT8/lOqVs4KQnl+FJ87rucPHS/w60iYFwIn17Qj5osR8ARoS7RN+v4/XvyP+E0/d+29i8+s/Axfe/5rNPY14jf9/OYdv2FGwYxJP3eiOhIdfHnLl7lx4Y389VN/TXJM87kfbvghC4oWUOQvmrLktiPRQXmonJyT47rfXUfLkGqet7RkKbdddRsZJ0Ohv5Cck+PzT32eJ48+OfLZ+YXzR/oLAER9UR541wPn5KhkZ6LGbe08dsduXHv0fnf1x5fw4gMHcWyXgc4UlXOjVMyOIgSseeccXv7DIfwhi/nLIwzecw9d3/0unuJickePAuAYFttW/w2p4NTzgdUtKxkZNfO8a2eyfH0JxmAvXbkov//WaxMGhBjm97qks1PX6hmmwHUkvpCHoooQuaxD91E1CXtZXcHIaIHv/eJqymYWkE3bxHvT7Huxg5cfOjzleifj8Rp86KtriBSNv96llGTTNv/y0r/wfNdzdCY7STvpccu8u/7dfGXtV9jSuoW79t7FE0dVc5ZLay7lu1d8FyEEUkq6f/CDkekeJGAURGn/s++w89XJJ5Y/VfyZXubVpFlYkySwdAmhdZM3fZauC0IghCDT1ER692767/41ya1bxy0ngkHqn34KM3xi/SqG+jL8xxdPbICPY3EDWW5f+jfMKZnN3r69BLIR1nZs4qMb3sOqC+oZyA7w9y/8Peuq1o2MGPgni/6ExSWLqY/V4zW93PSHm+hKdU25jQ0zNvDokUfHveY1vHxyxSf59ivfJuaL8bt3/k41hZSC5369jx2PN+MPWWz6zHJVKzYy4lyS159qoaQ2Qu3CognNlhzH5XBDD5t/shNnzNQNwz789bUUFPtJJ3P4gxYSeO2RI+ze0jZlADPW1R9fQumMME/9Yi9Hd08Mti64bharr61joDvFEz/fQ6TYT1FliJ3PtDDYrc5xj2Ww8dPLuPdbrwEQinr5yD+swzQNWhr7+N031fyaBSX+kc+cd81M2g4MUFIbZsfjzccsjJnKkLeP1oL9dMzaw5cW3EK4yM9dDz9AZI8aHGVb7f3sqHyShZ3rWH/ohpHP2SLL83W/p6Z/PrP6lvH4nDvpCh9hTs8qVjeruWNfrn6YpuLtlCSq2Vu6DYTqenB57eUTClgHulKYHkG48MTyASfaPWTfix1s/snoiKLnb5rFBZtmndA2TsZw3lcIgZ3NghB4LIvEQIbmPX3seb6N5j3HD8TLZxWw4aZFJ1TDmRjI8MrDh9nx+Ght+emaU/KNhQ315wnCRS67nrNJD2URxviCPikl0mkH6XDpjYt45EdfnXS90fIZrLzmXbTvf42LP/gnFJSW4boOQhh0HNhHqKiIO7/wOZID/eM+t+lzX2D+2otGtpUc6OfXf/9/6T5yCIA5q9eQ6O/lvX/7dzzy4+8Rq6hkzQ3vxzA9qmmrAH8oTCo+yM6nHmPrb35FJjlxpNk5C2Zz3rJKaouApe8BK4hsfRWxcMzANI4Nu+9Ved3dY1pfved2WDJxjIXppgM47dRI9sI3Rm+mNvDtwhg7fV4+2T/AQa8PSubxddnJ7T1DLIvW88NZS/l996vjMgdfX/91asI1fPqxT48LpN7o+rnX88ULvjgylPip4rgOhjBojjdTW3DytWFZJ8uOrh10pbq4auZVk86V50qXX+z+BbOjs1lTtYZbd9zKltYtvNqpftgvq7mMW9bfMqHjvnb6dB4epLAyhMdjvOlSXTed5sDV12B3dOCbNw+3cibNPQESq66m90AXg1Yp3kw/WV9s5DNLslsp2/LzcevxzZtHV1saKztEINOLROCYXras+Rq2NRoAGG6OZQ0/oKhvLyl/EVmrgGj8EKWf/zz+RYvo/dnPwDTouOwTbHtqYu15xewo7U2jr5fNjLD+vfVsvecAbQcGuPzDC0gMZHBdSUGxn+r5hTxz1z66j8bHNfmsXVTE3FVlvHDfAZID4/s7/Gz1l0hbQ/hMH89/8PmR+ZneaLC7lUzAQ2jPUQ7f+GGMUAjh9+P0qD6s/g3Xsq3kBrrbR+euvPGWNVh+k199bRvpxMR+FpXpffhkEtnZzuGZV094P9q/n4HYXMJWBtsKUnn0KSobH8Kf6Z+wrBEKUbBpE8V/+jFyHR1YFRW4ySTtt3yN1KsTJ7wfOcZfu4X2L4+2FCj93GeJXn89VsXxayqGM7a59nYGHn2c4KKF+BfMx83mOOL0suPlJppad7Cn/QHc7GraI4chlsGfiVDVspC9pS/QGh3f4X/jrI3csu6WSftPSSlJ5BKTDuYhpWQoNzTllAa3PH8Lv278NQAP3fAQNZGaKfcrl3F4+q5G9uRrCOevqWDh2kpe2XyEIzvH91necNNCIsUB9r3UwZFdvQx2pca9/7FvXITlN7G8x6/Jy2UcHvjedloa+wHVZC2bzLH67bPYu7Vtygl/r/joQh6/Y/dx119VH2Pjp5bhO06tdHIwSy7jEC2dvK9rd/MQkWI/ls9ESolpGmTTNh7LGKkBfGLv09z3Hy8xa3AJhn38qXxeqL2fV2seAaDIX8T753+AdVVrue33d7Hw5ZMfLKj+I17etm79SOAlpaTtwAA7Hm/mwCudeAMe6pYW49guyy6vmbIZ+PBgEqbHYPXb66iYVUDNgiIcx8UQAmEItt1/kJceOMhwlvTSD87jqV+qIeOHm4O+1fkGp5JJ2Tx7976Rc3UywQIvK6+aQbwnjWO7VM6NkU3ZLL64asoa26m8sVXGjMXFzD2vjKO7e6mqj9HwZDN1S4spr4tieASHGnoomxlh1rIS/GFrQiAspSQ5mOXB7+9AGIJIsZ8Dr3QhXUnl3CibPrN8pGWBdCWDPSlS8RzBAi+N2zpUi4UlxbQfGGDeBeUUVoTob2/j1T/cx2ubHyRQUEWib/Jmy1M5b9O7WPfeD+H1H7uvt3TdY07pcMzPpgbhyX/god8+zu7B4wfBq2YZXLa6DPH63aMvWkHIJeGaf4LzP66m3zrD6ABOO3UcG174IQwchVmXwK8+dEIfa/B6+XlhEV/q6iRqBqBqJfLyv2F3sIAjfY389davUh2u5pq6a7hz9518vf5GrrJKMBe9E45shZ59sOqj4Pvjzpd0Oty5607+9aV/xZY2K0pX8P0N3ydshc+aYW218caWLuc6Oth/6WVkvAUcmX0tRR3bKe4bP6+WVV2N8Hiwe3sJrl5NaM2FIAQ9P/0ZubZ2rOveB7kMRVdvIPHbu0g8o4a/9i9bhnd+PYN3/2bSdPQULqRnybWULagkNK+OZx4Y34/MX5pg9tVe1q29DHMozdATT2AEg4TWrkVmMhiRCMLjIf7Y4wzedx+hjZtoiyzmxQcOjQvmukJHiaXKsVxVc+L4srTV7uLamreTHMiy9LIaIoUWrY+/gt3VSbKjn8jvvwO50QBMAkdqN5AMlBEiwf6qq0beKygNUFob4eL3149rgmhnHQa6UoRT7Rz5+jcovWET0XdcB1Iy9OSTeBcuJvXSS/gXzqc7G6Ww2CJUHpvwPbnpNMKyiG/ejDMwyOADDyD8fuzOTjJ7R2vKp1Lx1a9gVapmrqGLLkKYJtJx6Pr2d+i59dbR/dh4LYHzzqPg2msRXi99d95J73/cgW/BfKzKKqyaavwLFpI9eJCuf/93ZCo1YVuhSy4m8fQzI8+LfvzvlCw9DzMW45599/B3W/+O+sJ6fnrlj/FZARwhpwygT5Wcm8MyTmwbHQcHR0aqHCsU82F6xEjt1GTWv2cu9avLCcVObvRfKSVHd/VSMSc6rkmslJL+jiSvPnKE3c+1MX9NBZVzopTNLKB0hvpdyaZtnrxzz0j/tur5MYqqwhRXhRjsTnP+pjo81ptvEvpmdR2JEynyI6XkpYcOseW1V5FDHkK5KP7L+rjxuutIiQSGMIj5YhN+S47u6SWTsImWBti+Zw8tjX14ugvob0/iru7kI+/dyI6H2jnwSifZjIOdb7IdKPASKfQRKw+SHMyO1EoVVgTpa59Y+Gr5TXJpZ+T5VM2E/SFr0gKZwoog7/vS+Xgsk0wyx7b7Do7075x/YQWJgQyGISisCuHakrXvmnPcJrp2zuHo7j5mLFKjCu98upX2pgFCUR+W3xzXRNfrN5FA3dISll9ZS1FVCI9lnJbf5tb9/dzz/068ef1YJbVhEv0ZpAQ742BPUlN96Yfms/jiNzfC5GTsXI5HfvQdwsUlWD7/uHnoQPUhFEIwe9UFXPmnN4/frpRvvnlivF1NeTX8+aEuNWXX41+HHlV41ThYQsDM0Z0J8njH3ClXVeaP84GZO7AqFsCGr8KcK5GGyZGG7cxYuvyMzIPpAE47fQbbwBsEfzQ/N54NpgW9TWqEy2f/bfzywgTpTFzP0vdB2QI17ULTk1Nv78ZfQ+2FKpDrOwQeP0Qqxt8c4h3qfY9vdO68M8zunt18f/v3xzW1vO2q2+hMdtKeaOe6OddhCpMdXTu4reE2PIaHG+pv4O2z345lWONKRVN2akItZdpOc8/+e6grqGN713YODhwcqf2rDFXy0cUfxZUu55WfR8wXI22nT3lN51vRn+6nJdFCib+EiDcy7WlL5pI80/IMWSeL1/RS5C9iSckSAh5VwphzcgzlVJO/R3ffR/AXD1L5TCOB/hQP/+kSiq55O93pbjweL7Njs1lTuWbSuZ8mK5HMOBl+1vBTftRwq8o85yQffTnM1U8MsGWxSfbCpVx2+2sT1pXzBDgw+3oK4oepatsy7j3bI/DYJ3b/dwwvB2esJRmez6yDD2AVpAgOZnATCZL/6/u88IpETsw/TGDlhgjaA3iHOknUrSKZmLj96/7HcmYsemtTA7wVA/c/QPzhh5GuS3DVSnLtHYQvvojQ+vWkGxrwL1t2zBJjN5Wi+wc/JP7oo2SbTry/R/CCC4i9+wa6f/BDhGWRa2vDHTpGE1KPB2wbq7qa8KWXEn/0UezOToxgEE9lJcELzsdua6f4z/8MZ3CQ4OrVmAVqZDk3k6HnR7fiJoYIXXwJVnUV3rq6cfcUp78fMxYj9eqrZBr3qfc9Juldu/DOmk1w9XlkGhtJbd9B5Oqr8JSWTnlcsimbO760hYrZUarqY8xZVUq0VF3PTa91sfPpFqrnF5KMZ1m4rpJoSQDPCdS2vRWO7WKYYsoMm+u4NL3WzYzFRcftF3ku6m4e4nfffGWkX+yw4uow1968hGhpkFQ8y2uPHmHhuioOv97Ds3fvm7CespkRZiwuZtFFVbQ29tHTmiDRn8HOuXQeGsTjNenvSFJSG2bxRVXMWFw8YYTeXc+1TphcfqxggZfSmRGCES+x8iCt+/tZcWUthmmw67lW9m5V03X4gp4J+wNqFEXTMrjuL1dQVDl1H+LTITmY5aEf7sB1VfC6d2s7lXOjIFVz+HhPmlnLS0gN5djyGxWseHwmAtW8PRDx0tuqmhIuWl/JunfPpem1bgorglTMPr1dNHLpNKmhQUyPRSiWr311XYi3Qf9hKK6Hlpdh+y9h1++gsE7lE8uXqnzZwaeh/iqYdxV4IxAuVXMeWwHVtHHz30L/mJq/wjqV5xvr4v8JK26EA4+rfOd5N+HYObLpNAOtRwkFLfzhCId2vMrDP/0pmWSSUKyQK//8U3QfPsSWu/8Ty+cnl0mz6XP/h/lrT2Aqrj8yHcBp0++NJTDpAXjiH1RtXmEdpAch1Tv6/tL3QbQaOvdA+WIVEO6cOHIUAAXVsOJDqolny8vQ9tr49wtnQbAYimapidbnnjmdVZ9ufpofbf8RO7p3HH/hMS6ouICWoRbi2TiDWdUsqK6gDp/pI+fmaBqYPPMY88VwXId4bvLRmJaWLOWmxTdx+YzLaepvojRYqvoppbqpDFcSsU5+hLeMk8EUJh7DQ3O8mfZEO3t69zA7NpsVpSsIeAJk3SyPHn6U/kw/BwcOTphDqshfhN/0s7ZqLc+0PENNuIa6aB1zonMYyg3R0N3Arp5d3LjwRkoDpQzlhijwFrCuah0lgRISuQS7e3czkBnAkQ6udNndu5vKUCXxbJyORAeLiheRdbMMZYfIulkODhzkyOARBrODI30e32he4byRCaBPhilM5sTm4Df9HIkf4coZV7Jx1kYc6ZDMJRnMDtKWaMMQBo8cfoTGPtWcaFXZKizTYk/vHgYyY5pMSsmMLvDmYH6vj4WNKbw5eGGxSU9pADOe4FPPFxBp6SdrCXbWwpAfLt41+hvQGYWyAXh6seCFRSaX7HBYelASzLdoHJxfRam/BLenl1zzaD8O2/TTW7QQw83hT/dypOYKOstXM7ugG2/QornHz6AzscnenOUx1r9nHq1NQ4TMfqoXliJ8EVUI5D1zChPeLLuvj8H77mPwwYdwk0lKPvVJIlddRfyxx8js20euuQUjHCJ04YWErxg/WqOUEndgAGdoCCEEVnU1qYYGMgcO0PaFySch9i9ZQnrPHrAnHxjFU16O8PuQ6Qx2R8eE94XPR2DVSrKHDmO3Td2cbCq+hQspuOYaiv/0YwjrDRPnOg65lhZSOxrIHNhPZtdu7L4+gitX4Js3n+D5qxE+P56SYkR+VDnpushUivjjj5NpasI3ezZmQQHeujq8M2dO2H7ihW3IbIbAihUYweDIegDcZJJcRweewkKcgQHs7m6MSARPYSFmLDYhvaACXaTE8E/vUP5vlbRtME2EEDjxOP2/UTX4vtmzCa1dO+m+D8umbfZubWfB2sr88PKRKZsMOo7LzqdbmbOqlFDUR6I/QzDqPWW1GqmhLF6/CsLamwZ46hd7SQ5mj/9BVNNXKSVdR4dYsaGWoooQjS92sOadsymqCp2RNS+TcR33pJtsvil2RuWlShdA8A3dPBwbDj0DkUrIDEKiC5ysWn7Ld6deZ/kS6Hh95Gk2biJdgS9qkx0yGTwcwBuxCVdlSPVYSFfgKQjinTsf0bp1NMs2Y60qtF/2AZh/zTF3w00mET4fwjRJx+M0vfoiW+7+TwY6R+9/IX+A2dESLvrMXxGcN+9kj9Rpd1oCOCHENcC3ARO4TUr5T294X+Tf3wgkgZuklMetL9YB3H9TUqrqcDsNZYsnn/C8/wjse0QFcz37IVgCxbPh4DOq1s4KqmAv3qYu8paX1Hq9IejcPVrzV1ADNeeB4VGB5GArlC2CGWvUhOjRGlWaEyxRGcnMEHTtUTeqRBcMdUJ3I2TiqqavdD4EisAbhpJ6yA5BbCbEavMlUq1qeY8fiudCqHR8AOm6dA4c5OcNt7M4OodSw8edhx+kzhujLFTFyorzqQtVcFfbczzc+gwF3gJebH+RrJsl5osxJzYHy7DY2raVqlCVCrS8ES6puYSm/iYuqbmE5aXL6Un1UBmuJONk2HxoMz3pHhr7Gnm2+Vk2zNzAnt49tCZaGcgMYBkWOXfyuV0uq7mMpJ3E7/HT2NdIPBvHMiyCniD9mX5SdoqlJUupDFdyZPAI+/r3IaWkyF90zIEShvkNLzNDVVwYqiFsWLyabOX5/r2U+Yroyfbj5Kt7gp7gMftQvlVlgTI6U53UFdThSpcb6m/gstrL6Eh0cF/TfRwePExDdwNLipeMTCh9oP8A7573bq6ddS3PND/DzIKZ2K5NPBunLlpHfaye13te5/4D97O9aztNA01THudhMV+Mr6z9Cuuq1o2riRwOrIUQ7OjawYvtL7K2ai2XxBZAyyuqtLIlfy/1RWDfoxAsxHVyvGa6FKeTtPsCzM5m8LkOkWAxRKoRHQ3Qf4QckClbRDxWTWXvEfAXQNVKCJYgQ+XYvf0M3ncfue4+rGCWTJ9BoCZAwQX1mPMvhZnrIJeGoy+Q27WZpB3G58nRs/8oFd69mMJGDec2U6VVGOoasjPqOomUq0fXVteoLwKVK6CgShXGCAPsrLpWSxeANUVGO5dS94Huverai07dd+ts4CYSCK8XYVm46TRIifD7RzKhTjyO09ODm83S9a/fRLouvtmzyexXJfgyk6HwTz6Kd8YM0g0NZA4eZOiJJ3H6+3F6ewmtU9NtON09+OrnYoQjWFWVZBr3qSajXi89P/kJdlcXJTffjN3TzeDv7yXXqqYk8C9dSmjdOtxEgmzTAeyubpzBwQlBo6e0FLtr4v1geJuZ/ftx45MXNHkqKzELY5jhCJ6yMlINO8gdHi2tNwsLCSxbhptKIXM50jt3IrNTZ/aNcJjIVVdh1VSrdB86THLbtpHte6oqscrKcfr7cdNpfHPmELnqKoIXnI+3thbhGV9LZ/f2kmncR/ZgE2ZhIb558/GUlmBGVFNNKSUykyHX3EzmQBNuMokZLcAsLMQIhkCAGQ5jhMMIy0KYJnZ3N4MPbybX2ord2YnMZrF7epCZDL5588js3YubTuMpKsLp70f4/SAEmT17QAiMQACZy40/DqaJt66OwJLFOP0DeCoqsGqqMYJBgqtWjexX5kATdkc7dl8f7uAgwQsuxDtzBjKXQ3g8SFciU0mkbSN8PnBdjFAIT0UFMqNq64XPp5oeG6NNEqXj4Mbjaj89HpyhBMIQiEBADXLkOKRffx27pxc3MYSbSGL3dGMEgshcDrunm0TXEAPROQQW1FOyoIo9L/XiGF5SKZd58yzKywVWKKCarvt8kwdr/Udg170q/+ENq3tKqFTdO0yP+s3PpdR9yF+ggpdAoaotmn2ZymNMJZtUv/1CnHjBcTYJyW4wLCjIj0qcHgCEyl94/CqwcnKq8DsQG9/aKJsEK4C0bbK7X8Ld8xgEi7FqZ2GGQ1BUB3Ya4fEiPSGy2x7E2f0UmcZdxHf1YpDBtQW+AhtvWQFG5VzMaBTT6cbtOECuZwA3J0j3eUn1WBimxPS7CEOqvr92BrMwillehxOajR3PYnf3ggAGWrAHc6T3HQTAWxom25sE59jNOMxYDKu2Ft/cuZhFhXgKC7FqZ2D4fdjd3WQPHSbx3HOkd+3CCAZxk5M08Z0xg3R7G6+XF+KzbeZ09GO5arszfno7obVrT+z7+SM65QGcEMIEGoG3Ac3Ai8AHpZS7xiyzEfhLVAB3IfBtKeVxZ17VAZz2pgx1qZvoVCX3rgtDHSrQa/gvlWFM9KhmliX1KkBLTlKLEipVAZz9hv4pwRJVChRvVzfayUSqINU38bPCUD8A3pDaZqp/8malEwh1o0aodRTWQWzM6JzeoLrhWwF1Yzct9RfvgMEW6DmgOuwWzVKZYSsI0lXzARrqh9oZ6uD+aJQGO065FSbjj+I3vYSCpSTtJDsz3Wx3k9gCLGGy0CqkxPTTiUMCl2qrgBfjh2iz41R4wsy2oszxhPELDx1OmjphUeFC1M6x002QSXTxOhkc6bAyneYd8QS1ts1UDahyQHuggNpIDRlfmB5vkBJfjK5gAdVmiFcSzbTaQyyWHtKuw5PJo/SaBjEMZnnCxGKziOTSxAWYhpdKw0sJJmknw4FsH6T68YYrqBNeoo5DLj2I5WRU7W64TP1w2mkwLWSyhywSX0ENFM1Wtbz9R9QPrT+qlrX86vvIpcB11DLBYnW8TQ8IE5kepDF+mIZkK0ErRC0mUVdSatu42QSm6+A3PCpj4fGp7yxSoX6kc0n1WnpAfY9t21WBwdjz1DAhm1BpKJqtCh7slKqZLqhW6ZOuuiYygypo8vgBqV7LpdX5Znqg9xC8cV6o6tUqMzPYqkpi4+0Tl7GC+QKRENStV+kYaFGFLU4Wqs9TGZN4h9qf5m1qn5J94PGqApLBFrW/U10bVmC0wCZUms94dcFQ+/hFQ2XquwyVgBXK72NS7YMvrNIaKFKZrdhMFfBJB/wxlTYnB8PnRLpfbdtOg+lT37eZ77M1nMHz+NT37Yuo780Kqu9EmOp1w1TryAyq9Uj3DX9y/HM7o5ZL9alH11HfT7xdHTNvUK07m1D7YHrzj/nzJJfIpzWg0mL51fZTfWo9w1xbpUnK/L2mVpW+Z+Lg5vL7F1THQ7pIKem7/xm6796M0x9HeDx4q0qxaiqRmIRWLME7Zw7eOXOxqqoxQjFc2yH50ksknnkWEfCTPdBEprERaduE1q7BLC7Gv2gR3hkzVCA4MIDd0U5i2zZkKk2uuRknHse/aBGRK6/AU1lJprGRzN5GUg0NCMvCU1yMVVVFcM2FOD09mLFCzOIi3PgQdlcXdkeHag7a0IDMZBCWhRGJEFi5EjMaxU0kcNMpZDoDQmBGIiRffhmnV7UYEX4/Vk01uBIjHMYdGiJ78CBMkr8SlqUC70kylyfM48EMhxHBAGYshhsfGmnhYsZio+t2HITlIbT+IoTPh5tKgu0QWr8OIxQi195Oavt2FagmUwhD4CYSOP0TB0M6ZYTA8PsQXg9mJES2tRNcifBaIAQykw8uDQNPYQQ3mcZNZY65SiPgO+4yw8yCgLoWXIkV9WF6bXJ9CbBzGF4Xj9/BG3HwRmxMy8XJGthpAztlkkuaSEdgBR28BTbeAhs3KwCBCBdBQRXCHwbLj8ymMJ1eSHTj9PXiuH5wHDxlZRglVchMDjeVgGxKFQobPqSvAFL9OIks2TjkEiZ2ykQ6BsISCGnjOgLT52KYEikNPAEHpEQ6AidnYadMXFsibXBtgXSPFTBKMIBJljHDXpyhE6vd9JTEMKNR1Yzehezhw2Ca4IzmaYyCAtxEAm9NDSIQwPD5CF5wAQCZfaqJdviSixl44AGs6mo8JSUgQWaz5NrbwJXkWlvJHjyIMzCA09c3aYGMd84crIoKzGiU9J49BFevxggEVEGObWO3t+Grn0foovUEVq7ETSZx43GsigqM0B+3+eyJOh0B3Frgq1LKq/PPvwggpfzHMcv8CHhSSvnL/PO9wGVSymO2zdABnDZt+g6pDHAmrjJFiU6VKfb4YNalKmM43BRzeDAV11UZxES+JPnwFrVcZgiaX1SBWvFsKJmvMom9B9V6+w6rTJCvQK3TF85nIAvUo+HJl/551fK5lAr24vnMqJuD7n1qPVb+RykzNJqhs9PqNSlVpjFSoTLNoNZhZ1Qm3smpzBmoDJsvojJ+4TJV6jjQrLbdf1hl6gNFKhB2TuwHcwKPX+2fN6S2V75kNIgoX6Iyk6k+lTEsrMtnTNtUkCvymcye/SptmUH1XaUHVfqs4GiQY3pVZjc2Qz26tlpH916VEQe1D8LIZ6JVBmIkKEeojG60BjwBFZCletVxGw6igsXq+A62qDS5ttq+FVBBj5MdPU7CVBl158R+FBGm+i4Mj9ovISDRzcjcA8OBjMev0mR41PGqWgml89Rj5QqVxslKfd9sp3Ip1fkwkA/6YzMnjtwlJfQdVP0Skr2qVnz+xrfebNl1VcDU3aiOuTDz+26qayE7NHruDzSr10Ol+XMgfx2k8s2sHVtdt5khFZgEitT1lUuqcyybVN9xvI0p53sYR5zgcmcA03fi16/hAYS635wgKUHaAuGRx//Kh4NY0xr/iFBBs+uMPrqO+k483nwtiVddT3Y6H1RnR88H05sPoORoICUddS0bxuj1OCY4llIicyDIINx0PtC21HLDgbbhURlmIDtgkOqAdK8kFwdhCpy0RJiCQJkgUGFghSXZfhc3I7GTEictcfK3Xn+JwBs18Jb4MX0GubiDk5K4jgpynIyB6wik7SAdF9MnCZZL/MXkj4et9ml4/1xHHQM3p14bLigAdXyGlx8+liOfH1/z4WQFTsYg1e3NlxVKPEEHb9ghl1Trc3OCbNyD6VWflVh4AhIhJG7OVsGDI7DTBsKQmD6JawtyCRMna6iAI6tqeEyfi50yQYDhUesb3nchIFiaxRuxMSwXw5IYZn5/Rf508EnsjEG618JOGximJDvkQQiJx+/iugKkWufw6wjIJb0qsDJ9mMUlOLYPN2OTa25GZsef72ZhDE9xESIQxG5twe45dXP9TcYM+/AUR/GELYTMgesgDT/Ca+Kmcrg5B+Ha5PpTqlBAgOE38RZ6EX6f+totL4bPhxmNYi1cjcymsdtbcOIpSMcBB6S6Ts3yGoyapQTXX6aCTK9XTbXgumQPHcLp7cXNZJHZDDJn46uvx4wWgOviKR0/+bXM5VQf3VwOu7cXT1ERIr++U9VUVUqJ09dHetduhMeDp7wMMxJRgd855nQEcO8BrpFS/nn++UeAC6WUnxmzzP3AP0kpn80/fwz4P1LKCdGZEOITwCcAZsyYcd7hwyc3V5GmaVN4K6M/jeXkVOZFCPV/LjUasAgxGlCZ3nzmyVHveUP52hxU5mK4NuBUO1X7+WbZGXVcvKHx6bCzKpcx3Lwv0aNqp4YzUK6tPuOPjjbpDZVOfpyG99F1VXBphVRmdLr3/VyWGVKFM8JQgZ3rqEzxcEGEPwpI9dy1VTBhq75TIwG/k1V/mbgKCIdrY8dmppGjAy8NBxfCeMOfGC1w8ARUEyqPf7RgIFKlaugzcbWsNzx6jg1n7v1RFSRJqdKaS+WbmLpqf5zs6HUuzNHa2cFWFbSb3tGChcygOj6mNx90DQdLYx5BpWeoUy1jp1UBkWur7ToZ9b9jq8DDyY0GFWNrKEeOiVDXVDahPmv61DHz+PItDryj+ypU7cjoo5Hf1zGBocgHc8PHF6ECRE9gtEBg+BhKR6VzuGBspFbUGV9DKozR7Y397kbSAiMB//BxGDZ8fdup0XvK2ADSCub/f8NxGf6s6R0tjMrlCyEkqpBl+HPDnxle77jjnK+B9YbUtpH583c4HfkA2+NTxyY7pPYhmxj9vr1h9Sdddb4NFzBmk/kCKb8q2HRy6hoZHvzMV5A/v8ekzQrma4oDapnhAishVMFdJq5q0qVU9047nS+8HL5ezPz9NaZeCxaNnuOBokm7akjHIdfWjpsYwoxG8RQXT+gnaPf0kGtvVwMDCQGOCrKRLtJxEKaJMzgIEtU0NqoGFLG7u1W/LI8HIxwG1DQKqlBBnTNmOIQZi725+5V2zpkqgHsrQytNllt4YzR4IsuoF6W8FbgVVA3cW0iXpmljnaqM/dihyYebZo4VrQaqj70Oz8kNB35SpjuAGc5ETnh9/CTFhIrV31SONU3G8D4axvjlpnvfz2W+sPoD1VfvWIavi+HvJlx67OVPl0Bs9H/DBCY5L4UYzRgfjzBVLWXs5OfM1LSzjTBNvDXH/i3zFBfjKT750XLPxRoibXq8laFsmoGxd/MaoPVNLKNpmqZpmqZpmqadgLcSwL0I1AshZgkhvMAHgHvfsMy9wEeFsgYYOF7/N03TNE3TNE3TNG1yb7oJpZTSFkJ8BngYNY3A7VLKnUKIm/Pv/xB4EDUC5X7UNAIfe+tJ1jRN0zRN0zRN++/prfSBQ0r5ICpIG/vaD8f8L4FPv5VtaJqmaZqmaZqmacofYTp3TdM0TdM0TdM07VTQAZymaZqmaZqmadpZQgdwmqZpmqZpmqZpZwkdwGmapmmapmmapp0ldACnaZqmaZqmaZp2ltABnKZpmqZpmqZp2llCB3CapmmapmmapmlnCR3AaZqmaZqmaZqmnSV0AKdpmqZpmqZpmnaW0AGcpmmapmmapmnaWUIHcJqmaZqmaZqmaWcJHcBpmqZpmqZpmqadJXQAp2mapmmapmmadpbQAZymaZqmaZqmadpZQkgppzsNEwghuoDD052OSZQA3dOdCO2cpc8v7XTS55d2OunzSzud9PmlnW5n6jk2U0pZ+sYXz8gA7kwlhHhJSrl6utOhnZv0+aWdTvr80k4nfX5pp5M+v7TT7Ww7x3QTSk3TNE3TNE3TtLOEDuA0TdM0TdM0TdPOEjqAOzm3TncCtHOaPr+000mfX9rppM8v7XTS55d2up1V55juA6dpmqZpmqZpmnaW0DVwmqZpmqZpmqZpZwkdwJ0AIcQ1Qoi9Qoj9QogvTHd6tHOLEOJ2IUSnEOL16U6Ldu4RQtQKIZ4QQuwWQuwUQnx2utOknTuEEH4hxDYhxPb8+XXLdKdJO/cIIUwhxKtCiPunOy3auUUIcUgI0SCEeE0I8dJ0p+dE6SaUxyGEMIFG4G1AM/Ai8EEp5a5pTZh2zhBCXAIMAXdIKZdMd3q0c4sQohKolFK+IoSIAC8D1+t7mHYqCCEEEJJSDgkhLOBZ4LNSyq3TnDTtHCKE+DywGiiQUm6a7vRo5w4hxCFgtZTyTJwDbkq6Bu74LgD2SymbpJRZ4FfAO6c5Tdo5REr5NNA73enQzk1SyjYp5Sv5/+PAbqB6elOlnSukMpR/auX/dMmwdsoIIWqAtwO3TXdaNO1MoQO446sGjo553ozO/GiadhYSQtQBK4EXpjkp2jkk37ztNaATeERKqc8v7VT6FvC/AXea06GdmySwWQjxshDiE9OdmBOlA7jjE5O8pksXNU07qwghwsBvgM9JKQenOz3auUNK6UgpVwA1wAVCCN0UXDslhBCbgE4p5cvTnRbtnLVeSrkKuBb4dL5byxlPB3DH1wzUjnleA7ROU1o0TdNOWr5v0m+A/5RS/na606Odm6SU/cCTwDXTmxLtHLIeeEe+n9KvgCuEEHdOb5K0c4mUsjX/2Ancg+o6dcbTAdzxvQjUCyFmCSG8wAeAe6c5TZqmaSckP8jET4DdUspvTnd6tHOLEKJUCBHL/x8ANgB7pjVR2jlDSvlFKWWNlLIOlf96XEr54WlOlnaOEEKE8oN7IYQIAVcBZ8WI4DqAOw4ppQ18BngY1fn/v6SUO6c3Vdq5RAjxS+B5YL4QolkI8WfTnSbtnLIe+Aiq5Pq1/N/G6U6Uds6oBJ4QQuxAFXg+IqXUQ71rmnY2KAeeFUJsB7YBD0gp/zDNaTohehoBTdM0TdM0TdO0s4SugdM0TdM0TdM0TTtL6ABO0zRN0zRN0zTtLKEDOE3TNE3TNE3TtLOEDuA0TdM0TdM0TdPOEjqA0zRN0zRN0zRNO0voAE7TNE3TNE3TNO0soQM4TdM0TdM0TdO0s4QO4DRN0zRN0zRN084S/x+XZ8fzIp6D9wAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "nprd.seed(19880505)\n", + "N_path=6\n", + "t=np.linspace(0.0,5,5000)\n", + "B=[]\n", + "epsilon=np.sqrt(t[1]-t[0])\n", + "for i in range(N_path):\n", + " increment=nprd.normal(0,epsilon,len(t))\n", + " B.append(np.exp(np.cumsum(increment)))\n", + " \n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig=plt.figure()\n", + "for b in B:\n", + " plt.plot(t,b)\n", + "plt.show() ## 画图\n", + "fig.savefig(\"exponential_browina_motion.eps\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 布朗桥模拟" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "t=np.linspace(0.0,1.0,5000)\n", + "B=np.zeros(len(t))\n", + "BB=np.zeros(len(t))\n", + "b=0\n", + "epsilon=np.sqrt(t[1]-t[0])\n", + "for tt in range(len(t)):\n", + " B[tt]=b\n", + " b=b+nprd.normal(0,epsilon)\n", + "for tt in range(len(t)):\n", + " BB[tt]=B[tt]-t[tt]*B[-1]\n", + " \n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (10.0, 10.0)\n", + "\n", + "plt.plot(t,BB,label=r'Brownian Bridge',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 二维布朗运动" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "t=np.linspace(0.0,5.0,10000)\n", + "B1=np.zeros(len(t))\n", + "B2=np.zeros(len(t))\n", + "B3=np.zeros(len(t))\n", + "B4=np.zeros(len(t))\n", + "B5=np.zeros(len(t))\n", + "B6=np.zeros(len(t))\n", + "b1=b2=b3=b4=b5=b6=0\n", + "epsilon=np.sqrt(t[1]-t[0])\n", + "for tt in range(len(t)):\n", + " B1[tt]=b1\n", + " b1=b1+nprd.normal(0,epsilon)\n", + " B2[tt]=b2\n", + " b2=b2+nprd.normal(0,epsilon)\n", + " B3[tt]=b3\n", + " b3=b3+nprd.normal(0,epsilon)\n", + " B4[tt]=b4\n", + " b4=b4+nprd.normal(0,epsilon)\n", + " B5[tt]=b5\n", + " b5=b5+nprd.normal(0,epsilon)\n", + " B6[tt]=b6\n", + " b6=b6+nprd.normal(0,epsilon)\n", + "\n", + " \n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig=plt.figure()\n", + "plt.plot(B1,B2,label=r'Brownian Motion1',color='blue')\n", + "plt.plot(B3,B4,label=r'Brownian Motion2',color='red')\n", + "plt.plot(B5,B6,label=r'Brownian Motion3',color='green')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "fig.savefig(\"browina_motion_2d.eps\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Anaconda", + "language": "python", + "name": "anaconda" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/notebook_python/DiscreteMarkov.ipynb b/notebook_python/DiscreteMarkov.ipynb new file mode 100644 index 0000000..6f451c3 --- /dev/null +++ b/notebook_python/DiscreteMarkov.ipynb @@ -0,0 +1,559 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 马尔可夫链的模拟\n", + "\n", + "## 简单的马尔可夫链\n", + "\n", + "假设有3个状态,使用如下转移概率矩阵描述的马尔可夫链:$$Q=\\left[\\begin{array}{ccc}\n", + "0.3 & 0.4 & 0.3\\\\\n", + "0.3 & 0.1 & 0.6\\\\\n", + "0.3 & 0.2 & 0.5\n", + "\\end{array}\\right]$$的模拟如下:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "转移矩阵:\n", + " [[0.3 0.4 0.3]\n", + " [0.3 0.1 0.6]\n", + " [0.3 0.2 0.5]]\n", + "路径: [0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2]\n" + ] + }, + { + "data": { + "image/png": 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3RUufnXb6JewRf/iRoPu1wfe95Cz2Z47vnlAAcD4TxDPRIWCLwBjDLCuw086XCLBTUbzTVgeLK2bVdqaZent51Q2zM0qVy8nAxz3zNO6uyKvOnqywl6Th535nbPB7jVJM54X1PoDyXO2MHc/3yP06mWbleLPc/tzwfbavE36u+LZV65bLqcfNz6nrfcB/d936s/q3bh9P6u0e3BRM57nT/RIKWc6QO46H/3Yu1zi/9lzPxTQzu69HCXXajymygmHUSgmOEkJeuD23fCPLC2QFc34WrhsxONsizKoX1sTg4qtfco4v/Db4S1D3orEJSESog0rNS3ddyIpi6W8b8HNh9nulzsc8nRfO53ucEhJyu07qF5fzi2913BPDYJEHb6ZBk+t9wF/Kxtd9O9gc3RWDs8LpfgmFrCgwdxxPl2u8S2BXrm92X4+q+kvX/ZgiywuMkuXxjFIKvl9T8GeC67Nw3diMUUYYYSqZnYsw8RzkLBgIM0bDmcnxHFR2BX8ouzycZxYPi51x4nzMpjNsEYjImd3pHpzlK4GrKXPK9z3TXo/l9zPH+6BmzrRMXoGEsFJs3OV33VTMsmExZ3nRhTkrqm30MXnJ68mKCgvmLOx1lhUMabLKnA3lt+767lk3YnC2ReAPCtM0WbmOr+DMkDnrOHvxPe6u4LNCt7RGDiKsdG2KMBmnzqlcUXrQBq6sXZ22yV2DykKQBjQLzmfG12NH5qwwY+imVWqZqB2c3TWZM8bgHBD5xjxn7uxVdf20hUvN1u12f8zmq/eHCDzVGDytmbOVyccoTQbDksrY66EiBmdbBJuLj7/kdMyC+b6rl5RhLZA7c8aDs2Hc8F3Tmjuj1Re2CF3SX13SmuW+3dgdPl7Xl/Bsnq/UT5rWSi6uRzOGLXTNmYy9nIxT7T2zbVgwRsM47rxgzmPpco13WTcvGHZzs/uas1mh04t5wZC205qDYs542c9mhD2bMcoII/AXkUng47shYJFGMnsZmtDxIiyYk2GwDfzB6vZwNg+adsaJ80ucszaucGV3eKqwS9qmPe5xmiBNyCLoMktrZgVzYjB4Q4hJ+lTUqFMGvsO4ltcBXpQNDIc5y4qic1rTqayhQ1pzZvGsH1fMfOjznRXFKnOWJGAMKAbwW8e0ZkRvmNmkNX3XnFXbmRnU3pT7346GgHnHtKbpg8I1QOIdvCZNBzJMxm6dop3TmpLg1YTJW1yPZkFcuaz9OOu0psF+RL/1Tod09SaiOcFwSQWGQJav+imaYlHUb3/t8OvNjXWvnqMGnfmcOXNtejBBUTAUDKs1Z2n4fZvCJqAdAmJwtkWwmRn4Tmvy7Wi74zreIFxV29e4u4LPRl0bAsyDs8QpeLBpOlDve/3M2UySCtwZp9rxLK5HTW1a45y6BL/82HTXoyxAdv1dNxXNQHQIzBljDFmHhoDdzJ0569KtacWcVanGPGAwzI9/nK6mNYFh/NYzi4B2CNiMUUYYwabY3lSSwHzfZrU7/AZpW5eYgoiwZ5QMiDlzZ4fKbiuz8zAZpZVGnN1+Fue7A3M2SpyC4QVz5p4yEp2fiQVzZipxUa7jwJxZSGmIj+Wu1RDQPMeujKpP8KDB9r7i6EvnzKZ+Kl1Dtybfdps5q1m7AbCk/JnQJYuwTsTgbItgU89lKuZpClOmwkfef8cxWAiBLszZ1CLd6Fprt6hD7MKcuXZrujNnjDFpEb1JitdW2qX9b1OYpjVnshTtXUxKo3mOh1Ao3rX+bdopNdldI82k+Wu8hm5Nvu2RQEoDGAZz1rWkZt3YjFFGGMFWcb65jq99T7McpSOFZDkPef8hyQ/UOmeuNWeGzJlrl6qP9nHXTtEFM2D/4trNS7kFaYejYdClbVDpmtasmTM9kycNNAfCAq8DS8HZANiUpk6h6rklQyfmjKf9HVl3wOw5uo5uTb7tleCsFsDtfwISpTQieoNNCitJCHtSf7N2fuEzVr5Y5cv5qIEaUnDmHoDY2Cq5BtOL890lGO4opdEh5SNKBZrUwJlKacyWmDOXhgDztKbopTCka3kdaJ7jIUhpNK9NW3aHMdZRSmM9aU2u2h+WOavSmpKasyGwpD6ehetEDM62CLas1GTsr42/+dBVveS8MDkDSgXVIrSBpTT4Q9i2ML+rXVa5riNzxgU6HQNXvu+V8Rgwefw8zTW+iUvdml3SmiZSGorOUxfWZhPRPMdDeGE3r03b8czzskOxvR1TdOn0tHnW1yK0Adkr/hwcS5mz/n9rH8/CdWIzRhlhBNuLz6TrzXjfmdlLzg+TM5xUUKe0poWtUue0Zg9p5IW1jTszIE4FGjQEGNaSLU0qHK6pOq3pKKXBaw7vKh2bzfM0hBd289q0Dc6ax9LlGndZd2YxyV0He8WPQWTfVO67/+vbR0nNOhGDsy2CbeDjk4GaGqaHFk0LXRTrh5MK4rPRLg4BJnAVDfZh9jtxFMDlL5B5bl/Po2pksGkIKP+tCs78pDVNxJdlNWfl+v2/vNaBoaU1m12atsxS89px6UZssru2sCkPWUfdFz+PK1Iaa7KOMoGqVGKI2IxRRhhhOs+RJrRyg8jgM8gxZSCmWY49owRJorcskmEypLRml25NG4eAkZvhe1dHhnLfKXazwlrlu3lt2Z4eVfrbhDk1lchobsflXsjrmjNdQ0AhrA9adE0PY7IRGkPr1uzCnDUD6i7G512sn6waAvpkzgbAks4qORsTu7whIAZnWwSZRYwMPouRp/Mc/L5UbXNmOUYRhlRE3dX43D6t6Vpz1i2tCdin3poBi62OVOe0ZmZ2PU7nRWM5+xcsPy7VPoqCYTcrxIGm567poWOJORvAC7vJWtmOpytzxs9Fl3o1M/um8MEZP36RfVO57/4n011t7NaNGJxtEWxqmAC/ac1ZVuAeR4zLcWjSml1vkLJWrv+bHWh6a9qNx9ZWydW2ysbSS77vbhprgD07oKqfNBFunc6b16M6rWmynAw1c6b4XRYuDfK05lCY4NBYZs76P+Zl5sx98rFu43ObcoV0DVpjC+ZseTzpwNKam9IMAMTgbKtgG/j4LKyfznMcc7c99b9Vy3UOzgZkFj2vpTQsUyKWtWCLAMnyBeJJV665LeN9d9C0UjEDpR+lviFgcT2qpV3q5RzuhbmBzpkq0HQNfDcVQ2sIaDK61hOIpWNx77h0Zd0BQxFazl4FtW8qj3/UYs5q66ghBGeW5EXfiMHZFmEmqWuRoWQg/DUEcAZCxWr5mL0MJa1ZFAy8zt05+AjdEOAlrela7+Ze/K1iBnbGCXbzQvnAnzWYM1VH8izLcXe+nMO9kBf6tKYqQHb9XTcVXdkm32iOwTY12bV+jl9vrsbne1Kz2t0kIRCFtm8Si9Au7Jv6Z0ltGrCGgBicbRFmlhffzjhx0nYSoWQgDNJIHmYvQ9E5yzoUE1t31o661X11qfNb7NsypeohrSlqZFjUwInHkxcMu/nielQFXdN5jiPGibNfa2bQEKDqrOOfDSVNHxpD0zlrjsH+Gu0xrTnPrSbi4yQJK0JbOwQsj4nXoA0hEI9pzYjeYHvx+WKguA/iMYY1Pl1nLzwd27dwZ3Mm6tqGbytC68KcjRKq2+ld4K6x1mgIsO6EU4nQqpk8HrSZXY8Fdsaps18rfymptf3kLOnkLtcQ0C0V6BvNMdg3rXRsCKgCclcZDptJbppQWBFaSVpzHdZRpigD2sicRfQA23quySjxMmMvdazQqN2Rb9M29SrCZJSAMbeHmk90Yc74eTeVuODaPLZM53RedNb1mYzcA0MOWwun+vyIGgI0zBkPskxqyWZZOVlwnahwRkB1H6mOZSGl0X+gsg40z9MQmLO8A3PWPBbbhiDeweuyX6C8xm3u61FKazE+X5XSCG8dZYpZ1v1ZuE5szkgjtLDv1vTDnPGXX13jo2EqumhuAe4F6r6RLbXhh2XOiAiTkb0YrO0MW4SJY11U8+VlKxeg1jlTM2ft61GXctwZJ873Aj8uVQ1cZM4WGFq35nxpgtWBOesQ2LnUY9k+60cJrcX4fNxKa67DOsoUUUojojfYpzXdlN9X91ulkQxqzkqz745MzkCKqLMOvnwuhfouAQRP23WBe0NAjiP3lPt2qedJaFU3CdBrg01r5swwzT5OneoYeUMIP0YZk1fXzykdAu4qwVlRn68hpLrypdIEt3v4yD2pNTO8tG5gAWuglLgIK0JbVPuR2Tf1/1vPsu7PwnUiBmdbhOk8t2Kldkblg6FrJw1PIx01GSGhNeic1Sm+fmdjS8yZdRu+vf7YjoNR/TSzKxwW79etIWA6z3HUzgiAWz3PzjgVqnnrOhxXJwv669FFVoazZvwYpUyeQUPAEBpc1oFptrgmhvDCnne4hzn7ddTOyJ4Zrq61o3ZGyAoHezPL2t1xGrbmTCpCy62jBsCSludsc0KezRlphBYuDQHlet1m7U0WSMfuTDM/UhrN/faFLvUqLrZK5bm1TGt6asAAXGrOChw5KV/ELhpSsiB+oktrzttpTfX1OBknTlZm/Jj4McrWn0UpjRrTeV6fryEEZ52MzytXlJ2xPfvFr13n+8NykpsmtCYR2uHaN8W0ZkRvmNkyZ55m7U1ZCB0D4atbs7nfvjD30OllldZ0CCC86Mo5+HryDt6jJ5w5s395yWa5uprD5vWoksho2iq5+LXyYzpaE5ypfutxmiBNqPf6yXVhOi/q8zWEOqSuxuc749SpnotfE0c7Bqq29/U4Tazr4mywKcbnUUoDABEdR0QfJ6IriehyInq+YJlTiOii6s9lRJQT0T2r764hokur784PNc5tgm2RqK/arYXIZlKp94sfcowxP2nNgZhFd+r0crBVcqkR9GWXxbdlit28KOuxAjADte6aLBhqMFUqiYymrZJLPd8qc6ZJa8qCTcU9s21oMmdD0L7qxpyVNUzjNHFuJnBlEctyBVvmLNw1JmPO1mG6bgI+Wdwk5mwUcNsZgBcxxr5AREcDuICIPsIYu4IvwBh7LYDXAgAR/TyAFzLGvtPYxuMZYzcFHOPWoKwdY05pTdtaojaazMBE8ZKb5wwF6+bzyPfT3G9faLJB1syQg62S6tyq9sMV8F3hwlROG3WIgAsrIfcd1TG+tUbaSH09NjtmXfxa+THVwZmmIUAabA7E8WIdmGVFfU30LYUDtDuuXeq+kkpDzC2t6Xp/zOaFVQZilFDQ881ZOZl9U98sKZ8sblJwFow5Y4xdzxj7QvXv2wBcCWCvYpVfAfCuUOPZdrilyTynNUdpKfegkTjo3hAwjLTmMnO2hrTmOHXSOesaDKcJYZzapd74OI9yZAZKCRBNWlPTrVkGXfImijbDZhsg8WM6SpvWVLtBuNQSbiqm87w+XyGZHFMsaxXaW4xNxilGqX0nZN0Q4JzWtOt6H6WBa86q4KvtEJAOxCGA319R56wFIjoRwD4A50m+vxuAJwA4vfExA/BhIrqAiJ4beoybjoWWUn8NAZOagbCXFLDBUMyi552kNOxtlVzSX7785Gzr3fg47zapZBMcglfZuE27NSfjtBq3Ot04GSVVzZllcJbztCZPs8onJeOUVlI+HJOxm3XUJmI6z+trYhDMWeO6dEm9T0ZJWXNmeX3zyUt9f7iwdlY6Z0lQf8tMx5z1HJypHEeGipBpTQAAER2FMuh6AWPsVsliPw/gM62U5mMYY9cR0X0AfISIvsgY+5Rg+88F8FwAOP744z2PfnPQrJ8xha/C+qbIZunXKUs3dfd5BIaT1lyqV3F4uNraKrnIPajSgzaYWLI7C2agTKm6pH3ufZT48aRT1W9OVEwmCztVEGed1uRSGhN1V6guQN4Z2TOim4pplY4L3T1ois5pzXHqlNasZTj4/eHA2lkxZ4HPt874vO+0pq2X8RAQlDkjojHKwOwdjLH3KhZ9OlopTcbYddXf3wLwPgCPFK3IGHsTY+wkxthJxx57rJ+BbyDc0mR+GKimZpcqgHAZowgTzct5XVjq9HIsJraBi86ZD9Ffvm+bAIKP86iaOfPfECBPVzYL/RVp9lbN2XRu59e6SGvqu0dVAbKLAO4molmUPUrIWhssBLoISc+qkoGxgzXSyv1hEdzNKzcKq5qzwPZNeR2ctbo1B9IQ0Gxa2xSE7NYkAG8BcE4jyYIAACAASURBVCVj7HWK5e4B4LEA3t/47MiqiQBEdCSAnwNwWaixbgNUQpcy+LJBmq2kkdxqb0wxFFX1ZebMXoTS9kHhUrTuq0PJdt8LZsC9G0027iQh7ElNgi61tEuzVnJnnKCw9GvlL9SjNN2augBZxe5tExZF2WUq0FZVPwS61Zxx5syh5qzdEGCxvsskd5QkgUVoec3ZMnOWJISE+tc5U1moDRUh05qPAfAsAJcS0UXVZy8FcDwAMMbeWH32CwA+zBi7o7HufQG8r1IHHwF4J2Ps7IBj3XjwF5BNCstXYf0yA2HSENBVd2sYac1sqSHApV7Fljmzq/uqO3h91JxZsnZtqQD7hgl12kZVIzadF3WN12SU4qbbd8XLNe6Z5kRlj2Ha3VSEVhcg74xT3DbNjPa5yWhOzlyK6EMg79ytmVZMVjcpDZvnh8tEPHhDQMFAVAZjK/sObB1lgk1MawYLzhhj5wIQV8AuL/cPAP6h9dlXADwsyMC2FC4zA54e7Dprn2UFiIA9qdpAelYXYHe7QcYpgQjWLJJvNB/mLsbHtrZKvBOWMSa0NWqj2ajRFZORXb0bfxgeveMmm6ATVJ4oasRm2aLGS5WObWrNNTX/7r5jJj3C03L8GKXjmRfKLrGJQ6foJmLWCIZdiuhDoIvx+ayq+yoY6yylYVOsX5/HIUlp5GzF9Lzed2DrKBMsrr2Y1oxYM5xETT0yZzuj0gdRFZw1GbYuICIntXzfyJc6vcLbKi106cz25dLBK9+3XV1UF2YA4DIFqlSgPOhq1ngpJwstKQ3Azq+VH9Pd9nRnzu4K3ZrNhqDQTI4p8k4d13lDhNY+bT9Oqb7GXZgzm0BjlCSBmbNC2o2cJmHr3UzQLGHYFMTgbEvgUoew8CjsKqWxSEFNFCr2vnTOym30X0TdNPt1sidyYM4A8wDCpYNXBnspjZaOk8XMuWmrJB2PIqBp1nipXBXatWnNz0zQtKzZo9L30/zWQ7iW14Hm+S6lHfoPzrKc1WbdLuzXolvTTSomraUm7Cc+Vt6aadgGjHnOVmQ0OFwcFHzDFzGwTmzOSCOUcFKcHyVletCDzhnf784oxW5WoBDMlHzOXoagqs5nojsjF+Nj+0J92wYOX92xfBtWwVmHhgCToFJX29i8HrUNKpXkRvMzE/DffJySUsRWJ6UxGQALvA4s15wNgznLCoY9qZsW13SeYzJOnDohObs7djAGnzk860NLaeQFW2kG4BiCbIrPZ+G6EIOzLYGLAjIRlfUuHWu3Ss2dRRoJEKfefM5eSuakb+aMpxdSe+Nzhy5KW3bHpXBYBltj8NohYIczZy7daAq2SRN0LZgzuUTGMnNm79fKjylNSKunpktr2qRTNxXNhqA0oaCiqKbI8gKjtBKStRgPY6ysORu5GZ9zdtfFe9JFwLrs1gypc1ZINRvHgevdTMDfFbHmLGLtcJ0Z+GCguFJ2uT15qtSXQwAwjCLqmjkb29dzuKQ1dZ6SK/tw6OCV79tO7qGLsbMJC6yrbWw2BMgkMppMjktaM6uZM94II09r6urndivtqm1G8xk1DlwDZYqsKNOatkxek911tW/i6/JxGK/rJKURtgEjyxXM2QBY0k10CIjB2ZbAlSXxUVjfZAZ4B5GIgZhl/picIaQ153Vwljq34dvAVkLEp7aPygZJvO8CCQFHjLnIpt26gIY504jLmlyPTVsll+YYfkwlcyafLMwMGgL4ctuMZllDOgA2BSiDijQh6xq4JrvrEvjwyVkt0up0f1iK0AZlzhQ1Z4Gto0ywiTpnMTjbErhefD6KkWdLaSQ5uzOd57XkRleobKLWBW72uzO2L3h1sVWyZXdcOnjl+7bXOeNK8IAjM6Cq09KIy65ej2Imt8mwyZaTIWvUnKnqxrhlkQw8PbXtTQHNgGac0mCMz0cJ7x61D5Amo7K5wVZQl197PKBxY87s7JtCdkzy8yjCMGrOysniWBJADhExONsSTLMce9JEKAKogpe0ZrMAWxFANCU3umII8gP8YTdxaAhwsVXSeUq24bshICuY8QyfXxNEVLXS++1GK/0o5Q0BPPDlf4uWbUtuNPdtAn5MaaIRXzZwCLDd9yai+bsOQV4B4LVSZB28LDFnDp2Qi8lLlda0Ye1cGgLSsA4BWV5I05pDEBzm59vHu2ddiMHZlmCmqWuRYeKhsF5UcyZuCLCvs5JhCDpnWaPmzFpKYx0NAZ6lS8ptmgaGRc0I2b/49MW7yjRiQ/RVlTKcNa5b/rfNvcBfqKOqIUA0WcjyAlnBjNKafV/PodEsyg5doG6KrOoytDUvb95bLp2QdVqzZs4c0pqWIrShmTOZzplts0UI+LKxWydicLYl0NW1yKCSADBF08RbVRflIh8hwxC0ofgDx1ZKw9VWyTb15rNb075TdMFe2XazeWkIqK9HRZq94W+6YNjs05qjOq0p2odZ/ZxsjNuE2oO3Suf1rX0FcMYnsbYYat5bXH1f1BEswyzLq5SovZSGi/PHOuybxpJyldCm6yZoThY3BZs12ggpXFmpso3fQ0PAaDmNJAzOGpIbXTGEhoA6rTlOrNIarpIivLjdtNbOd0NAc5v6fS/YK9uak5nBuHXisotaMtVkoSkBI2d8ZeC/P28IEN1HJina+p7Z+oaAZSmNvl/YQBlUpAlZB4vNe4sLydocDu/g5WyT7f1BZCebxM3ZbQJIG8xzuUOAi9SIb/gkBtaFGJxtCVy6/wA/DFSzpkbXEGDzQFFhEMFZzpBUDQ529ivusieAeVefT7PfiWXw0mRyx6ldt5ZRt2bFVoq2O82Wdc6a21zez2KMe9JSkNmq5ow7BCRyT1mTAHnHMujeVEznCw/ecTqMtOa8cghwrTmbjBdF/bb+mNz6CYDd5C4rKgFx8/qpsUMQaIO8YNJi+9DWUSZwacDqGzE42xK4zgx8FNaLRWjDpjVVNlHrAu9QSi3rZ0xSXSJY65zVaaT1pzWbHby2zJlRQ4BkPPNKL6zNiMnT7OX3Ln6t/JjSlKRMnmn9HHDXYM54Q9DgmLPErmC+ndbk27JZn0uK2K9r/xxNHbpCbcAlSURwaZjwjVlm34DVNzZrtBFSuKY1u4q5ch9Ek663WVZ4Y84mCpuodSGvOr3GjimRiSXTObFNLTp28Ir3bS+A22TOnFgJxbUiY/LaWnoqyyuu8M5hyyLXUhpJUnWPivah/60X6eotD84aL8jhSGlUDgHWIrSNhgBHIdmdcYKxS7emQwai3k+o4KwoBi6l4S9rsy5s1mgjpHDtRimV390fkrt562WoeInPPDcENPffB+bVbNG208tVf2ycEhIyZ1hcO3hFqBlRi4YAHvjYGkMbeWtKAtU266YSl20zELap8mURWnHXs6mgrmyM24RZo8bPlm0OBa5sz4v6TTFrlAzYCsk2O3hTh27NmUPtbmo5RluoRGiHYHLvcs76RgzOtgRlAbZjWrPDjL1dU6MvwPYnpSHbz7rAO5SsmSFHWyWiKgiwSGv6bMAAzAPD5m9t261lUis3kQQ0q9ejKq25HLza+rXW3ZpVQ4CoBs7ENuauJKVRs6kDSWuWQUWCkW3dKGfORgs5DNP1m2UNriLNtvXF4zWkNaU6Z0n/LKlrTXafiMHZlsBF1BTgUhqFcxdP+0WqLMD2qDWj2s+6kBVFgzlz6/SyhU0wrRM/tduvfb0b/41cpDS4rZJ8PDLmbLnGS9U93JafsU3x84aQpGLOhOMxlAWRjXGb0Ewt2d4zoVCm48jaiL3J0PKgZG4anAnWtUtr2k9yU4f0qQ1Uac3Q1lEm8EkMrAubNdoIKVxZklrfyTG12ZaFSJOyBkvoZehx9uJit+MbWc4wrtvww6c1gUUwbbSfTG0bZLdfe52zRXBmX3OmG7es8WQlrakTRV6qObNMa1asC9AMAttMnkVas+cGl9BYuiYGoBoPLBifsWXN2XQprVn+fqYWTssyHG7MmS3rvmDowqU1U2las3+WNEppRPSGqWOx/aKWyDE4EzADMp9Br2nNAWhD8QeSu/VL2O7aIGlN44aARcrQXkNK3/Yuq22cta5HlURGm1m09WttWtYsxiMJFg2kNLadOWt28A7hhQ0saqXSJDFmvoDyt+Lsbi2lYXiNN9ldIrJW0HfRi6ydCEIxZ9VEVbzvsNZRJojBWURvcJfS6NbGL2IGZF1vvh0CmvvvA1nBMK7UxXMLgccutkoTC9Fgv8GwOVPJO3h50GFrb2OSotelNXmwRETCdKXIVslWVoZb/wBNBloyHsVvnSSEPWn/jheh0SxrKFNd/R9vXsnhjC3ropo1vjVz5pDWBOzV+2fz3Frt3oWhs0EpSSJJaw4gEG9OFjcFmzXaCCEYY871RV1n7SJmYDJKV15SjLFSSsNXcDYAtiGrVLFtdY662CrZyD0EqfEzCF7a3ZZlt5YNM6Aft4zJE7GSoo5kkdacrc4Zl2Eo19U0KGh+64nCK3Rb0ExXD+GFDZS6eK7ems1SDr4tE7TZXdtuRpdJ7riW+wgTEM/zQi5CG9g6Sof2ZHFTEIOzLcA8ZyiYe4E54M5ANZWyF9tcTQ+19ae6QlXovS7wmiNbgcdODQEWAYRrB68INjpn7YDE9uFswvjJmDwRUyU6Z+Igzo69yhvMWZeGAP69qfPDpqL5u6aWdYihkFdpTfuO4ry+t8a23Zotdndkqfnm1hAQNq3JxXxFsJ2c+YaJNM8QEYOzLUB7JmaDroX14rSm4mXovSGgx7RmNeu2FXjsYqtUKtGb6pz569bk6UGTlGo7IEktNaRsGgLa50LEVImCLtH1aBsgzXNRcCZuCNDVg/qwURs6mozPeCBpzVKrcFGaYIq2AwbfltG6K8wZ2dW7OTDitgGkLTKV8XnPIrSuXsZ9Y7NGGyFEtzRZNwZKpIAuqt3x6fPY3E6fbENWLERoAXOBxy62Sn3pnC32bRCctQIS24ezybhl4rJT2fWokdzg47VlzjhrKpvkzCr5CJ0Pom1KdRPRltIoGHp1+AAql49ahNZOSqOZliy3ZTc5mzSCO9NOz/a+TVFLaYTq1lQYn6epXfDpG11qfPtEDM62AKLUoim6tvFbMxW+uzX7ltKo7JsAC+Ysy7Fn5GarZKVzlvnV9jFld1YLnu2Nz01qtJr7aq7Lx7pYdlVcVmShZSulMc+LmjVVMXkmL4WuYtCbgCURWgfLoxDI8kVa01aEtlnQX27LbnK202goMO30LOuLC+uGgHHgtKbKIWDcs/F5F/KiT2zWaCOE6JLWtPVrbMO4xsfz7EVlE7Uu5DVzZifwOHN4uHLsjBNjTTrfqtimab92faE1c5bpdZxKNmrVTkpYSybo1lzcM8tB3CwzF2Ru1tlImTzD+iCb33UT0fbgdTH8DgHecZtaF+Uvy4LwbZmuC7h1a/JrxHYiHrpbs9m5LNq3TTe7b/guqVkXYnC2BWgXmNqgKwMl644zYTS6YAjM2bwoME4X9i2mKYMu6UaZhlwbiw5ej8HZyCylusIMWAqOzub6zqpaIqNtfC5IGe8I5EeEkwqFYK0I83whQittUDCsD9p25kwUsAPm2mChwDtubY3YlzpPLTshVxpmLDpFZ47lIS7m7KZgjGmlNELt2wRddCX7RAzOtgBdLj7+EnMWoRUEhhNFWrOP7sFQ4MyJrQVLqfDtdutNDIVSeQevS12bat8mzQjtNHspm2D34jM5P6JAlYsxN2u81Gn2Zca3+Z0OvF4JkHcPN+us1Mey3Q0Bq6m8ijnr2dZnwZxZSmm07MkAi/tfIKVhHNhlq5MPE9ias9uAB10qEdpy330FZ2ZNOUNDsNES0XFE9HEiupKILiei5wuWeRwR3UJEF1V/XtH47glEdBURXU1Ep4Ua5zagW/dft8L6WZaXBbVpi6nI2mkkv8zZKC1Ng3ttCMhLAUvbWWkXW6WdUYrdvNCmQUIUwZoWrbdZ0pFlwbPp+RFKtgjYQlGDiuh6tJWVadbZyFi3maGa+8RSAHfTsKJ9N4Cas6JgYKwMjsa27G7LAQNwaAhYktIIzZyFY6/42FX2TeW++5l81E1rG8acjQJuOwPwIsbYF4joaAAXENFHGGNXtJb7NGPsKc0PiCgF8AYAPwvgWgD/TkRnCNaNQLdi+66SFGXtRetlKEh/+WbOALvOxRDIGp1e/P8m6JJubAbTd9sjv31DtI9Pxglum2ba5VakAiy7tUwFlWVdwe11lTpno9W0pilzljWkNLhNlKgGzijQHKXO7PUmQJTKA/p7YQOLlOqosmGytRhrM2em13i7g3dkITUzFdRKmmAU0PicN/uMFcbnofZtgtgQ0AJj7HrG2Beqf98G4EoAew1XfySAqxljX2GM7QL4JwBPCzPSzUcXlqRzzVm2+iLdEaidh8j722h+hQBnTuzTmu5dlKbBNH/R+5wtmktprKZtTJkBka2SdDySxpNV5kyU1hTVnJm7IAAL6x+grIHbGYm6Qs1sY0T3zDZhJZXXc6oLWDA+pVahnQjtbMntgEtpuE3ORqn5/eFa3G5bF2uDmjmTitD2W3PWpWGuT6wllCSiEwHsA3Ce4OsfJaKLiehDRPRD1Wd7AXyjscy1kAR2RPRcIjqfiM6/8cYbPY56c7Co+7K/+MZpgjShDt6a+QobNhmlyAq2VN8wCzB7MS2ODwXOnNimDLrYKpkG02GC4VUbJPG+l+sQUwsNKZGtknw84lqy9n0wUYkityRgmuPXYV4US/IBsklJbAgQp7qBftOanK3iHdeMWaQmhfZNbpMzq/vDNa0ZUEqDH7fcvimsxpoOsSFAAiI6CsDpAF7AGLu19fUXAJzAGHsYgL8GcICvJtiU8KpijL2JMXYSY+ykY4891tewNwpdU1g7HYqRZ6I0kkA7LUgNlGFxfCjklX2T/czZ3VbJNPVW1/h4LIIVSVKI0H4Yji1qamwepOKgS5TWTFYkMkTXo31DwLJ8gGiyYFpzVrLAd4G0Zt3hyOu0+r1/AVh3XOcFwzxnDfsmSxHa1uTM7f5ws28KIV2yYM7EYwptHaVDFzWDPhF0tEQ0RhmYvYMx9t7294yxWxljt1f//iCAMRHdGyVTdlxj0QcAuC7kWDcZXURogW6zdhEzUNdFNbYZisnpVUojb9WcGbfDu9sqyfS02ujzfLdn92mSWHWyAmYs8I5EXLZ9H/D/N1k/UQeXrV8rt/5ZjEfG5BmwgKO0eulvZ4Am6uAFzNmmEODMfrPj2iR4aQdILg4hzes7TRLjejXX+5oHkCGkS/g1KxWhDWwdpUNkzlqgstrxLQCuZIy9TrLMd1fLgYgeWY3n2wD+HcADieh7iGgPgKcDOCPUWDcdtTChs7Cpe2G9rMan/G71ZeiVyem5w42bJtsKPPpoCNAdt2+7rHJbhg4BWY5x47yMU/Nia5GtknQ8Aq/PqYCpWkwWmmn2VVsl27RmXhRLqRyZp6xpWpMvv41opzVTS8ujEKglIBrXqkmwKGKGm9vTr7/M7o4Tc401m7R/E+tgzuQitH2nNf0/C9eBkN2ajwHwLACXEtFF1WcvBXA8ADDG3gjgFwH8NyLKABwG8HRW5h4yIvotAOcASAG8lTF2ecCxbjRm8xxE7sGZqX6VCMI0kuBFM52vSm50Rd9m0SVzZi+l0cVWSWZbtLKPAN2aPBhmjCm9IleZgYWPos6yymaWKwqGZvMcO0dPWsvxyUKOe2C8GKMsiDO8F7KcLRVBi22izB0C+PJH7xjtfqMg6uAF0CtTmOWLdJxNarIdINmm7WYtBwwbjTXXrvdxwG5N/tyTPdvHPdcXtieLm4JgwRlj7FyIa8eay/wNgL+RfPdBAB8MMLStg0h40wZlG797WvOYI8ZLn4ksoUSSG12xM0px6M65123agNcc2Qo8drFVErFAwn0EqfFLwRiwm6tr5soOxWZNzSJ43aN5QNp0VknTiAJpF/5dc4yySYVpHWNWsPrYyv0s1+QxxoybP2xTqpuG1Q7e/u2bOJPTfHGb3MOrzJnl5Gxe4O6NZ6aNxtrMMUWXBuzW5NtU2TcBfdac+bWxWxc2q0IuQoiuNj1dGCiRmrsoPSSS3OiK3mvOCoY0tevW7GqrZFq03qWDVwZTVwaeMuRYpH3tOz1VkOmctRlkkbjsNBN1GS8YNhNkebE0G2/bRO3mBRgzZwEBdzHooWNFeLVicnqtOWtIQNikJtvslUvNWfv+MF/XLa0ZsjuWB12y4Kxvk/v2ZHFTEIOzLUDXmUG3hoBVNXdZQ4BPAVpAbBO1TiyYM/OUAbdV6qxzpq05C5PWBFaFVtuYtdK2Ni+GrmlNZQ1k63o0Scer0DZ7bk9ybGxjdgZgRxYSK8xZz0XiwHJQkVrcw11lQdodvCMLjTXX4vaQUhqLtKaOOevJIaBDA1af2LwRR6ygi6gp0K2wvl0/wbcHLAcQIsmNrhDZRK0L3Oy3rDmzYIY6phuN05odO3iV+9ZIPqyIbFq8GGyKd7kEzJJEhmHQJXa2sAuQmvZNfD/L17xdoAlsP3O2M1oOaPo0Pl+k45IGc6YfT/t3JbJzGGh38I5Si5qzLK+YPreGgDD2TbzrVeIQMICas01rBgBicLYV6JrW7GK6LK7dEaQ1QzBnPZpFZ40OJbvgw824mGORWjTTOfNqfG647/bDMLUQobQ5P22JjDJlLOrWFHUPr7LN3K/V3L6pqFlTACuOBTbMmWnKeFMxbXnw1tqAQ0hrWnZciyZYqSX7tbyuec2ZKG1vAqLyORWCvapFaAdsfL5ppudADM62AtOsW07du86ZqAB7y2rO8kaH0sii06urrdKCldSzV106eJX71rJ2q1IBgGknnIUIbXVs/Jy2zbUXy4muR7Gtko2sTFuEdiWtadXcsP0NAcuWRf07BNQitEliVZogqvsaJ2QcaK7cH6mFlEaHibiNwboNdPZNNjWnIdCVvOgLMTjbApgKXcrg2hBQ+yBKas6a25wF6tZs20StC7XwYoM5M0nRdBVEtLFv6tLBK963eb1bW0oDcH/xyceznAqUsYWiczaTPLBt/Fp5Q0hzP7NWKr+5f5Nj2VrmbC6rQ+xXCgdYFqG1YXfb17hxQ1CbWbaS0iicn/WjJAnSgLEQoZVIafRufB5rziJ6guxFY4rJyK12ayYRRBQWYAfI+/P9mPg9+kbeKIK1kQXoaqvEO8vM2Cvf59s8MFy2pzHv1rKT0lgOaGQ1XvV10pwsSGyVbPxa84LV+lEAt5Na1MAtmDMbnbPtZM5mre5YG7Y5FBb2TXYd1yKGtpTD0D+HRB28VlIaHZ6jIwuGzgZ6Edq+jc9Xm9Y2ATE42wL4aAhw8aiUsUB1Gilbrr8JkdZsjmOdmDc6vWxkAXxYibRrm2T78f1AMreOWk4Z2mlIWXQ4tpg8WTOB+HoUs82mfq28ISRtpTWBxcvbtvO0PcZtQrshaBj2TYt0nF1aczXoNmW/RNe3XTOBewnLKCFjmygb1M9CqX1T3w4BMa0Z0RO6slI74wS7eWE9i5VZiYiKm4MEC4JC73VhuebM3MTZh5XIxKBLtYsLgQzmpuurxs6AISthkY5t1zbKmCq5lIYorWnGnDWtfzh4EMiDOxutOdPAd1Mhqznr0/h88RtadlzXAZY9+yVid8cWzQSzDrW7oyQJ0oCxYM7E4wppHWWC9mRxU7B5I45YgQ+dM8C+jV/GDCQJYc8oWdpeCCHAfpmzRb2KVaeXB/0xkxrBELNF87RmgbaxM2DOSpiOu53WlJmmi+RHZEyuqaxM0/pnsW6byTP/rU1tuTYVojoroG/mrJvxuYuQrGhyliYJGDPft+uzPk0oiHRJLUkiY84CWkeZoEsquE/E4GwL0Dmt6djGr/J5K02pl42mfTM5oi68dWGpXsWm4N2DrZIJuzPr2MErwsSQqWwX4NqyEqbXSZsRk7GS4zRBmlB97lW2SqbNMU3rn3rdNpNnkdYs2UK9wO+mYrUhoP+aM5Hxuek9vGeULPnEjlIz9kvE7oa6P9oI1a2pcwgIaR1lApFQ+iYgBmdbgK4zA1cGStVZ1w4gQjYE9JEKyhrCi3bMWXdbpTKAMKk5C1Pjpwog6g5ekQit4cvLnjnTM1U7DU08la3SjmFzTLNeaXU8FZPHu0cNXqZEVOr29ZCiXwfajM8gjM8b97BV04qgY3JkWHM2E9z/tjqJzg0BFl2hNlgwZ5Juzb5FaGO3ZkQf4MKbXfSsXIMzlQJ6MzjLC4Z5viq50RWmdkIhUM+6E7ISePSS1hzptbi6dvDK9guorxNRHaJtsbXpddKuOVQxVc3rUdV0YKpzljVqDlfGU+3H1qS6b6/YkJC5RgzHvsnO+Lz9m44MhWRFzPnIIjDsMsktxxgirWnYrdlDWlM0WdwUxOBsw1FrO3VsCAAc0pqKFF0zPRTC57G53z463NrMiWnKwIetkkldVIju2HFKSEh9nYgCpFBpm3ZaW9agwsejk9wAuF+rSUPAQueuuY+l8Uhq4GQw6cLdVLSLsuuAfQBpzVFqb3y+EpylZh2XomfhyCowHF5aUyelYRN8+obqmTB0bN6II5ZgI3Qpw8QxyNGmNVcKo7cprbno9ALMBR5l2nA2MGoICJBGJiItuyMKSGyNz00D1zZzqqqBnDTEZVUds8bMmaDOZpXJK5DQcl2a+nj6syMLjXbpRUgjblNkjS7DumnFcQIxSkwnZ6vXno0JfBcbvFFCgURo1d2aNsGnb4R696wDMTjbcNgIXcpgkq4S7lvZEJAaMRpd4DpuH2h2egHmAo/cVmmPpXFxE0ZSGgGkS4BKE09RFzUT1FlZpTUl4rDisSwH57OalRTVnKWLIC6T+3dORolRmrzJuizWXWXOdsapsUtD22Fgm9AuvUiSkoXt0yEgE7h8mDYEiNKaJvVzok7PhcOIYb2bswhtEog5U3dr9mnVZcteDwkxONtw+Lj4RArqZvuWB10TYVozlLRDf8wZf7CaCjzyoKmLrVIZaNj5eqSPbQAAIABJREFUW/pCWVivZ84mS1Ia5ppWM4tGhtU0oooRM7seTaU08kYxuXQ8luzlxJC120R0qdMKhdoT0tIhQDTxSY2ZM5FpetW5qgkM84JhN3e/r9OEgjRgzAXNMU3YTM58o64vjWnNiHXDi6hpR+ZMFBguF2DLmYouWIjd9ldzNmqkNU0EHn0IIprURdmkB+32nSo7CoWm0HVnnt+05qhiX1bS59rrUZGOH6WY50z7ouXHMhakNZsitDbX/EQT+G4qZB68o9SsiSYUFr9hYlUDJ7qHR6lZylDUwVvfH5rJyyyTZypMMO6p5ox/3IfgsCq7M3TE4GzD4UvUFHCoOVM2BKQNG5vuTQsi9NoQUCynNU0FHn2kG3WF44yxyk/O/+2tCyBExfY2CuE2xs6LGjguXZFLa7xMayBNXRBq1kXUENDYj82kaUcT+G4qZGUNpmbhoZA37mG7onwRC2gW+HS5P1STChOkSRLEvqld4tEGUdlwEWLfOsw8lP30hc0bccQSvHg1OqYHlZIEjZd4fYN4nr2IbKLWhaYILf/bKPjwYKu0M1brYfno4JXvW9MQIAjYbTSkbFOBzTotXo8jShk305oL83nxpALQB2fthpDmurPGfmyYsx3DerdNg+wZNQ5UA2WKZmmCTVH+TFAXOTK0bxI3zJil/bo+68dJGOPzrGAYVZJCMpimfX3DR2apL8TgbMPho9jeVS9sJlDK5mim3mYdZ3wyiGyi1oV2nYWp8bEP/bGdcVppx4kftCE7lHTG4KLZvY2GVNsgWzuehrisKrCbjFbT7OIuYzMXBBFbsNNKszsxZ1sYnMk6lNNA3YOmyHKGhMrnCA+QjDquBXWR5jqHqx28i25mXVqzK3MWSoSWSZsBOMaGDRO+MVNkd4aOGJxtOHzk1F0NxEVK2fU2G0KpQYOFkTpYCIW8xZyUxscGD2cPtkq61FvX9Id63+qCeSEzYFhsrbJVUo6nUUsmvR4tGgKay8gg6tYctWyirAPNLZXSkDJngZgcU5RBRVUzamHEXt7D7ZozMxZQ1MFren90bf4yNWe3RZYzqYwGRxqo3k2HkM/C0Ni8EUcswUtas0NDgGy/PN3EX7hdxyhDX2yDqObM3Li4a1pTnYYO2T6uq3cT6jjVaRv1i09lqyRDs8NRdT1OGrZMKlsl0+aYTKLtZMrkiWDaKbppkE0g0zQMk2OKLC9q1iqlbt2aI9OaU4kMRzmesGlNU3N2W2RFoWXO+urMjVIaEb3BR8owSQh7UvtZuzo4S1CwMk0QnMnpsVtznPBuTbMUjZe0piaACBsMq68ToQK6MTMgr2FUjacOuuZyVnJnvJAfUduOmdUxZhJtp3aXss1LYVvTmrL7v28pDV4rBTR01zT3cGmXJ2kIMOzWXkmJGjpodJWFMDVnt0XzPEr3HSgw1CHWnEX0Bl85dVPbmiZUWlrNzrWgTE5PqaCaOUu5CK1pWqN7QwB/OMtq7foMhoXegYYOAbZelMAyk1eq0MvTmrt5gbxgWskNvi0VRA4BfP0Fk+dWP8dYfwFLCMh+11FiZnkUCiXj05xE6IPFec5QMEGgadiNKGwmMBTA7TrpCmZ8nhfatGaowFCHUNaB68DmjThiCb5mBi7q5MoC7EbtTsjZS1+poKbxOWAu8OjDVkmX1nQJcmz2bZLWXFZAr0Q2jaUCbNim5Voy2QSgGXSpbJXaHZcyNK1/mli2ibIXoS3HuF11Z7KgIlSBuinyFuNjwu7IjmWUmNectdldHiDq1p91nOSmgZjKrGBSGQ2OUIGhDiGzCKERg7MNx4IF8CDP4JLWlL0MRwtBzlAitOV++k1r8oeSsZSGD50zTdF6SLPfiU7GY55jMkqWC565PY3xi88mrdlqCJAxZw3ZFZWtkqnOmTSt2bSJcujWBOydOoYOGZMbqkDdFPNcEJwZFuW3Ayzjydl8ld01vj86MuJjQ4s5W+QF0/rHhrKO0sGlVGIo2LwRRyxhmuWliGIHr0bALchRqd03A4ipQnKjKya9pTWXHQJMBR59pDV3NPpuIVWxd0YpdrMCheRYRQEJr+fRM2f2zEBbXFbVoMKXUbGXdT2fho2VqaIvMXmCrj4VXMWghw7Z79q/CC0TpDU1chY8QBq1A01TEdpC6JTAx6OCn4aAMN2aJsxZL1IagsnipiBYcEZExxHRx4noSiK6nIieL1jmmUR0SfXns0T0sMZ31xDRpUR0ERGdH2qcmw4bRXUVXIqRzV6GhVJyoyv6awhYmCYD5rIAtmyKCFrmLHBaE5Cn3mTBZ2kMHTitqQq6Wml2ueSGmSDzXNatWV2PRcGwm62+iJXH4tg1PXTIftdx7/ZNxQpz5hogpUliYZouYc4CB2fBpDSKYkmMWYRRb1Ia3Z+3fWEUcNsZgBcxxr5AREcDuICIPsIYu6KxzFcBPJYxdjMRPRHAmwA8qvH94xljNwUc48bD18XnktZUKaA3WYCQN0jTJmqdaOtcmcxKua1Sd50zdYAUSvS3uc1ZluOIPavHMctyIWM3MkipuBTvLovLGlyPVVpT9huY+rXmim7NW6fzhmCoQ1pz22rOJGUNw2DOloMz1wnEODVrbpjOV++PRU2mLu3vQYQ2hEOAAXMWyjpKBx+Zir4QbNSMsesZY1+o/n0bgCsB7G0t81nG2M3Vfz8P4AGhxrOtmM5Xu39c4FJYb5xGChmc9WQW3da5MpmVdlX45tCK0AbWlSv3bcecmajBuzADTYkMpc7ZUvewKoizZc7EaU2XQNO03m3TILsex2nSu/F5miynNbXMmaQuMk0IBYM03V+vL7g/0rrmzLDezVWENlAwbCql0YvxuYcGrL6wlpCSiE4EsA/AeYrF/j8AH2r8nwH4MBFdQETPVWz7uUR0PhGdf+ONN/oY7kZhmuXOujdNTEauOmdyh4BymUL5MuwKFwkQH+APGv5MMhF49FULNtHURYVswNAxS7KHoVHKiIvDWox7MlpIZMxUNZCNlOFMafNkypytGp/z/fC6tnJ7Ft2aI7PAcNMgK8ruy2+RIy9W05r6ony5LAhgpvK/6stpbnw+TknLUsmQJgkYM/MPtUFbkkQEUx1I35hWNWebiJBpTQAAER0F4HQAL2CM3SpZ5vEog7Mfb3z8GMbYdUR0HwAfIaIvMsY+1V6XMfYmlOlQnHTSSdslEGSAmYfuP6BkFmy9NaeC4laOJgsQcvbStIlaJ+ZVhxIvNDXR8fGlP6YTSg0tXQKoA0PRNWFSbO3KnAHA4XmO3Vx/PfLuYdlvwP1adSwyf4m3X0rcscDlt95W5mw2FzcEmdQhhkTbE9KkLqr+XVeK+iuV/6LAHgXnIRawNXPQ6Nrp3RS7TRN/zwajhoCUenlO+8os9YGgISURjVEGZu9gjL1Xssx/AvB3AJ7GGPs2/5wxdl3197cAvA/AI0OOdVPhK6du262p80Fs2uCoXoZdwdOx6xbuzFvaPiY6Pr7EeE0aAtKEtEW6bvvWB4Yi9srk/PDJgUuH4y2H59X/Ta5H9QPbxK9V1q05GSWYzfNOgea2BWcyyzITNjUkspaURmrUtCK+Ro2ZM5Evp6lIcyavlTSBqditLTITKY2knxS2D+mivhCyW5MAvAXAlYyx10mWOR7AewE8izH2pcbnR1ZNBCCiIwH8HIDLQo11k+G1IcCiEHnhg6hrCCiEqti+sDMuqfrdNd/4Wc5q6ybATF3cVy3YpNaQkzsEBOuO1VlHSa5HK1bCIaC55U4enOkbVGaZ+oFt0gEsMj7n686qa141HvUYty+tKbsm+nQIKEVoF7+PiQ6YbILFAx+VhZOsg9cmrdllkrtg9/wHZ6nOIaCn5g9bOZshIWRa8zEAngXgUiK6qPrspQCOBwDG2BsBvALAvQD8/1V6KGOMnQTgvgDeV302AvBOxtjZAce6sZhmOe5+xLjzdnYs05q6brRa7bxiKu51ZLhuTT6eELpeMmRFUVs3AWYFr766KImorBGUyVkETCNPNOyOLBAfGXRr1VZkVjpnZsxZU+BV95IzCs6kUhplDdydu1n5f6eas+1izmQ1fn29sDnmRYHJePEKNOkelQXdaRX4qMzPZc9Mfg3pWDtVraQJFsyZ34A4y4vaKUW6756kNGbzHDtHT9a+Xx8IFpwxxs4FoPzFGGO/DuDXBZ9/BcDDVteIaMNbWtOSOZMpZTe3B5QPpFnAtGYzWLj7Tvcg1RRZa9ZtIqXhU39MFUCElS7RC+DKU1h6BXSZrZJ0PFVAc8vh3aXxrY7bvHvYRFYmLwoQCRoCqu3eWgWLNmmoncaEZpsg7+A10wYLBbF9k5tDAA9OVAGIrIN3wZzp749uzJkZQ2eLdomHcN9J0o8IbcCsTWhsJt8XUUOXojHFzihFXjDjG0imlM2xJ01AtB4pjeZ41oWsJWBpIqXh01ZpR9Glqupa7L5fzlTaBYamUhoyWyXdeA7xtKauQSUrDIIzvc/sXCIfwK/HQ5o0q3KM29atKWF8TLXBQmFFSsPAH1PKnBnUc8mZM3MpjU4NAYZit7aY5wMXod3Qbs3NHHVEjbIA2w8TU27PbNauY4GIqCErEE4IsK8i6nanl4nAo09bpZ2xvEs1ZBGsvhlB/FuPDTWkbIN4HoQe0qU1mw0BmjoUkw7gdr1SvS4PFjXjEe53qxsCxAF731Ia41a3piotCZTHQlROPpsYG9RzyZgzIjI6F10nubXYrWe20oQ5M5mchcAmOwTE4GzD4asT0nbWblK83RTkDB8srL8hYIk5szBN9pLWVHTXiixifEHl66nq4DUxhnZpZGgzZ7KgK0kIe9KklNzQ2CqV5u56KQ0hc9Zm8ix+63GaIE1oC701xcHwOO1ZSiNf7bg2CpBGq+xualDPNVXUVKaJSWDoJ63pm61sT1RFGBuwkiEQHQIiesPMk46LrtC7DZlSdhO8LmotNVBrfqG1TZNNBB592iqpagR9XRPi/cqvk0UHrziFFYIZWK05UwddtxowWipWkqNt/bNYlzcoVOOxDTYdxKCHDlWqu1cpjYItpePMpDRkzLBeDkM1oR0npGW0ph2lNOoA0ne3Zq53CEh7SGHr5J6GjhicbTDygimFN22gqyVqw4QF2hmnuH2WoVBIbnRFX6mgFdNkg1mpT1uliaohIKTor4KplCnBA6YNE/Ypen5d6WrOymVTo1owk87ldr0Sx6QDc8aX37a0prSDN9WzqSGR5cUSc2YqpSEONLmQrD6tKWIRjTpFFaLfJhgZjNEFWWuiKkIo6ygVVJPFTUAMzjYYPJDyUfytSleJIFPKbmIySpxfUqZo2kStEyLTZMDs4eyrW1OpcxYoGC7FbcWpt5ni+MYGDgEzh3TsahpRFXSZXY8mfq3teqXFuj6Csy1kzoYoQtsSTzWaQCgCzXKbislZx/ujawnLQuzWd1pTnOJvoo/OXNVkcROwmaOOANAMkHykyVwbAtQMxCEHSQEb9GV5My9WTZMBw7SGj99rlNTdX6v7CauKvTNKhd2xKu07E2bAZdw2Bfg7o7SxnCYdr5GVkVnW7DQaFFx8ECfjxJi93hRIhYmTssN53e4eHFmrkN2o41ri1Wii8q+a0JpK8XRqCDBIvbogN7RvWndaUzVZ3ATE4GyD4ZuJKbdpypzpOw93xgluudOt9sYUfaU182JZeNFE4HE6zzFKSJsCMIFa58xPB68Mk8oya3W/csP1kcHM2YXxq2u8qutMNUveGaeN5dSMr4lDgEg+YOFYsOsUIPflFRsS03mhDGj6Ys9KOZy2VqFbWtMkZajKdJhK8XRjzsKkNeeFgZSGQfDpGyE9hteBGJxtMHwGZ5ORHQNlotm1DuasHveaLW/m7U4vA4FH2UvKBRNF4fhMMrv3BVnwonoYjgylRmxlRvjyRszZODFnzuZqv9bSPFrRrXl47lRusG3MmaooO5SdkCmyllZdqbtmUPcl8o7tmNbUBYbzvEBesE4yPKG6Nc1EaGntLCmfQMa0ZsTaMfXa/VcxUIYvhoVJtZqBuHOXt4+HdQhYt6q6rOZMJfDos1B/R8Je+d6PeN9iY3BVB29q8OJzkQDhNXD1daa8HtPG9agO4gqmFgWVdajxF8Gdu/aBJh/XNjUEqDx4TQ2/QyEr2JIFm1HqPRP/riadkKqyBp2VlUkZiQ4hjM8ZY5jnzMC+qdJYW+Nv7ZO86AMxONtg1DMDL2lN24YAs5oz0b99oq+as3ZKxETg0aekiMwhoHR5YEG1fWQpVWXBs2G3psv54YGWrsareU5U94zJREWm7bR8zdv/BibWUZsEJZua6ksBQqL0hFy+h83SmoK0pEW3ptQEXrlu9xRdiACJb0pnfB5KxkMFn+RFH9jMUUcAaNzsHqU0zBsCCqFS9tI2R+GDs4VN1JpFaNu+fAYpA5+2Sryrr50mWMdsUcbaqQueDRwCHINXHmjp7oOJYeBkovmXFWIpjeZ2nQLNLZPSUDHsfTJnRcFQsGVvVDMRWvEEIq3r51RpTVXDjLrmzMezfmET5e9ZybelFaEN5OupQmTOInqDV1HTEdc5M/TWzMRK2UvbXHpRhbnUuE3Uuut02mlNk5mhLx9UoKlLt/x7LR7iIZkzMbujYlNNfBRnGlsl1XgAPYNsOlkw8WttN4TY7kO6b0W6ehNRd/AKte/Wn+riyKtJzZKURkpa30nZPWwkQpvlUnZXp7HGz2OXyV0I43O+LRMpDcB/M4IKi2svBmcRa4bXhgDL9KBJZ9060prlttefCppL0pq61ISvIHUiCSCmCjkLX5DVRekLnuXnpiiY1lZJOh7OnGmvRzNWy4RFbjeEcHCbKJPxyMa4XWlNdSoP8MvkmIJfi03208RiSHYPmxifq6RidPVuPp71IYzP+fFqRWgDNSOo4KNOr09s5qgjAKh1pWwxGZXpQdPCepMU1FIaKaTuVg+pIKkIraZby2dDALBaF7W2tKYoOFPM7nVSAV2uZf7w1a27NFnQSG40xyRCLpHSABbH73LNT7asIUDXwQv0w5zx+7QtQptrOgpl97CJ8XnJDIuvibFGambmwV2krov1GCDx86hnzvqoOYtpzYie4HNmQESlRIJhWlOmlN3EOtKa5bb1oqG+IZPS0KU1vAdnc1lwFlBKQ8LuqEQfdVIBXcbNgyB/zJmeRW5b/yyvny79bYPS+WGLmDNFBy9nW/owP18wZ8tSGoD8HmaMSQMsI+NzhcJ/qpGa8SFgbcLu2aJOaxoYnwNrDs48pIL7xGaOOgKA34YAwI6BkillL22vMa6goqgGoqG+kRdspdMLWF9aU9ZdW1uWBGbORDV+qutxpJHS6OI7WgdDmvvAuObMQJC5bf2zvD6vgXNLa+5WmlbbAGVas1fmbDUdp6uLmim0HU0mZzNFN7L2/vDAApmwe7aYG9ecrb8zNzoERPQG3/VFNhpLJim6rrICpugjrZkVxZJGkqkIpbdAeiRmzmaeA3bZvmXG5wlBGLTodZzcm1ts05payQ3JuW1CZt/UXL9LoLktQrSqDt4Q3YOmEKXjdHVRyslHHdi5MWc6BX0fUhohUotcOmikkdIIZR2lgm/yYt2IwdkGQ2WX4wKbYmSZUnZ7ewC0khtdIRNFDYmsYBL7Jo1DQOi0piKN5AsyjTUesIs6eEdVsbWsnqfLg7SW0jC8HrUMG2cllTpnhbQI2pTJE647EjOimwpVujpE96Ap6kL2ZLnmrPldG0aabbqyBsk1MdLUZPoVofUopcGDXE1aM5R1lAqqyeImIAZnG4zpvMCeUYLE0lxZBqu0pkH9VPMlpZLc6Io+5AdK5qSR1jQQeJwpZs62WAQQyw/amYcZtn7fKbKCrTzkVdeETtOqS9qGv/B0gS//Xiu5YZjWlKVyFkyeCwtopzc4dKjTmjzN1gdztlorpbOTUgaahg4BqvtDybr5aAgIKKWhs29asHbr7daUTRY3AUZPDyK6GxH9PhG9ufr/A4noKWGHFqGDSd2XDSYWhfUmKbouLykb9GF5kxXF0ozMJEUToiGg3V3r4yGu33cl4yEIDGUFy7rgdVEr1yGtqb0ezRg2E1mZ0r5Jw5x1SmtuCXOmKMoOYSdkirxOazbrRjVpTcW9NTLQbFOmNVO1jIcqPWwKPkafDRi1CK0mrVmnjNfJnAW2sQsN0yfh3wOYAfjR6v/XAvijICOKMMbM88VnU1g/NVC7rxmNwDl/WfdgSLRrjnSzUm6r5NP4HFhlzuogJ6jxuSylKk/b6oLXhUmxm/wEoA/seOCoOzey42siKwopc1aPx+E3qH/XLWHOaocAYZPI+jv4OOaCtKYuWFTVRRpNzuZyv9VRQnWKULYu4EuE1t+z0lyEth/7pk01PQfMg7PvY4z9OYA5ADDGDgPYTK5wi+Cz+w/gbfwWDQFau5ztZM4YY6v2TRqBR9+aO3opjfDM2WpgKGdyF/Y2kk64LlIahszZxJDRkjGDTeQt0+zl/Zg1KIj3va1pTYVwax8OAYJ0nK5ubKoINJOEQKRjzuQT2jQhpS/vIsjtXnPmlzkzlNLggfgamz986kr2AdNfepeIjgDAAICIvg8lkxbRI3x2/wEls2BjfK5ND3XoWrOBrEA9FBbaPqtSGrJZqW9bJf6QX0lrrsHsVxUYyn7rcap+MXTpRjN2CBiZBU0Lv1a1Q4DIvqncj9l4RFikVLckranw4F2kutZ/rJzhGrvcw5LfdZwkysBHlekYa6yjpllRCYW7cyJEVAvt+sKCOVNf67rJWQhsOnM2MlzuVQDOBnAcEb0DwGMAPCfUoCLM4HtmYFNYbyZCa1aA3RXrFqHNBLNubaeXb9kTSdH6OtrHZWk/VQevzkexU0OApZSGLmjifq2q4CyXGJ/bjEc1xm3x1+QTSFFQMTjmTNu0wksGxL9rGfiohWRV9k36erXu93SqSZ/aIrM0Pl/nb+277GfdMArOGGMfJqILADwaZTrz+Yyxm4KOLEIL/2lNMwaK+yDqu954uins7GUyTrGbFSgK5q1zVQX+EB0Ldc7WlNaU1n3l2JP66+AV7lsmgJvluOeRe4Tr6HTgujCL5t6a5hIXOlmZdkOIaD8u9XN8bKblBUNHWZQt0/bSF9GHgqhbUzfB0lkomQjJqs6Fq0aaDcaa9KktMuOas/V35vo6Z33BtFvzo4yxbzPGzmKMnckYu4mIPhp6cBFq+O5GKZXf9TfPbm6WOuvStWYDPo7dNaVHRKbJI409ycxzunGcEhJaZVhmBo0aXSHtFFWk2XXF1p28NQ3T5zaMlk5WRilC20lKY7vSmjpVfKBf4/NmOk6noK+7h1VCslleICuYWkpD48vpiznzyV7VYr4aHcs+OnN9nbO+oDyjRLRDRPcEcG8i+i4iumf150QA99esexwRfZyIriSiy4no+YJliIj+ioiuJqJLiOhHGt89gYiuqr47ze3wthuzeeG1E9JU58w0dWbKaHSFiaK7T4hMk3UCj3U3oqeHBRFVv9dqWjN8MCxOvamYXL2GlHtwZmo0vkiz669H1USlbgiRidB6cAjYmoYAxQtyCMbnYubMXkqj3JZcSFZl/aRbF/BXXzxOE6/slUjMV4S+HAI21R0A0DNnvwHgAgA/WP3N/7wfwBs062YAXsQYezDKdOh/J6KHtJZ5IoAHVn+eC+B/AQARpdX2nwjgIQB+RbBu7zhw4UE85k8/hu857Sw85k8/hgMXHlzbNg9ceBBf+uZt+Ncrv+ll3wcuPIh3nfd1TOcFfuw1H1Vuj3/3B2deodz3OZfdUP59uZ8xysbyVx/9DwDAE/7np633ITrfut9AVHOmktI4cOFBPPcfzwcAnPLui71dJ9N5jrec+9Wlcb//outw422zYOcbAD57dVnR8P/+w/lL+7725jtx4KLrhPtWaUgduPAg3vzprwAAfvLPP2497ou/cQgA8OLTL1Ee90ev/CYA4L1fOKi9t77xnTtxxsXiY1HJBzSP5bffeaH1sXzsi98CAJz23kuNr0cVbJ4nIZ5lH7n8Bnz1pjvE10TdwSe+Z0zH43QPi6Q0FAHEgQsP4i/OuQoA8PN/fa5wPCoh2fd9oVz+Tz74Ren9IVv3wIUH8YmrbsRV37yt82+TamyibCFKD4ugyiyEuva+fOMdOPvyG4I+C0NCWXPGGHs9gNcT0W8zxv7aZsOMsesBXF/9+zYiuhLAXgBXNBZ7GoC3sdLT5fNEdAwR3Q/AiQCuZox9BQCI6J+qZZvr9ooDFx7ES957KQ5XM9yDhw7jJe+9FACwf9/eoNvky/ELveu+2/u97papdHsHLjyI13zoi/X/VWN8+YHLtMt1QXvcN9wqH7fJ+gcPHcbvvfsigABOmojGzc+7yPi83a3V3sdNd+x6u074c8503D5w4MKDeH0VDLf33RxPe9+ytEbX++jAhQfx9s9/fWk8suvxDz5whdFyuntL9kJqH8uNt8+sj+WPzlweY5ff1fZ5EuJZxhthlNdE4X5NdL2HR6LSBM01er3k+ThKxUX9By48iD88S33tjVJCwbBSN8v3PVOcRxuMNQydLUxrzmSZhZDXXu7p/dgXjPJNjLG/JqKHEtEvEdGz+R/TnVRp0H0Azmt9tRfANxr/v7b6TPb5YPDac66qLyiOw/Mcr61mVyG36XvfNtt77TlXraR71jFGEbruQ7R+xhYPddk2+QNGzJwtr7yu68Rk3D4g+v1N9i1jJXz8hu1aQ9n12O7odb1uZS8kH8fSHmOX37Wv54npNmVsqu3zyOkeFqQ1ZU0rpuMZJYlQDsPkmSkLVH3/Nv6lNMwcAkLd/yKs492zDhh1axLRKwE8DmWK8YMo043nAnibwbpHATgdwAsYY7e2vxaswhSfi7b/XJQpURx//PG64XjDdYcOW33uc5u+922zvb7GaLMt033YjKW5rNCXTyLwuM7rxPd+fO5bpiEV6jd0vR5NlssFxeQ2+5DB9+/a571qsk0ZU+XjeaRbX5SalrG7puMZSaSzbzgWAAAgAElEQVQ0jM6FxN7M928zSslrA8a8bo5yMz7v8z06dJhWav8igJ8GcANj7DkAHgZgoluJiMYoA7N3MMbeK1jkWgDHNf7/AADXKT5fAWPsTYyxkxhjJx177LEmx+IF9z/mCKvPfW7T975tttfXGG22ZboPm7E0lxV1eskEHtd5nfjej899y4LXUL+h6/VostxcwLrY7EMG379rn/eqyTZlTJWP55Fu/bngHpbVRZmOJ01IKEJrdC5qhxH3c2GCUSAR2rGuW1OSWejzPTp0mAZnhxljBYCMiO4O4FsAvle1ApWqg28BcCVj7HWSxc4A8Oyqa/PRAG6patX+HcADieh7iGgPgKdXyw4Gp5z8IBzR6to5YpzilJMf1GmbbSVt0TZPOflBK3pQXfZtcyw2Y/R9fkRj6bIP0XkcJ7SiX9XepiglAogFHkNdJ+1tmozbB1z3LWMGfPyGJuv7XE6mih7iWLr8rr7PjQ1MtikToe36PDI5Z7lFWtN0PGOJebnJM7PuXM393h9tpBoXA1uISjxEkE3OQl17Pt+PfcHUIeB8IjoGwJtRdmveDuDfNOs8BsCzAFxKRBdVn70UwPEAwBh7I8oU6ZMAXA3gTlSuA4yxjIh+C8A5AFIAb2WMXW56UOsALyw85V8uxjxn2HvMETjl5Ad1Kjjcv28vLjt4C/7u3K8CgHSb+/ftxXSe47SqyLHrvvl6f3DmFfjOHbs49qgJXvbkBwu3t3/fXlxy7SG89TPXaMcIlPn/6w4dxv09nB/ZuP/4rCtx4+0z3PNue/CKn3+I8T7279uL26cZXv7+y5aOBQBOO/0STLNCeHyy9nGRwCNf7xXvvwy3TjPc7x47OPUJP9j5OgFWz63oM98FsK77TuuHcyHc3qmnX4KZ5Hy7jMf1euT/f+n7LsWdu7lwPPwY2r9/12tedW5ffPol2LU8P3wZXnB936MneMmTVu9r/v9XnXE5Dh2e45gjxnjVU3/IyzX6u+++CAUTPyfGkm5NvszLD1yG22cZ7n3UHrz8yeL7ev++vbjy+lvxt58qO2Sb97Bq3yrj83aA1T6Pst+gZM5WU4b79+3F5dfdgjd/Wv5cT6tz0Z7c8WVe+O6LwCTHYoNxqnYxsIW5CK363L7sfZfijt1c+e4xxf59e3HHLMPLDiw/1zepGQAwdwj4zeqfbySiswHcnTF2iWadc6ExR6+6NP+75LsPogzeBov9+/biDR+/Gv/xrdvxqRc/Xjt7MMHDjjsGAPD8n34gXvizPyBd7qcffF8Al+IPn/ZDeNaPnth5v/v37cW9j5rg/3nLefibZ+zDo773Xtox/uvvPhbff5+jlNsMfUPs37cXD917D/zM6z6JVz71IXjaw+329/gH3wd4P/Bn/+WH8cv/eVGz+JErv4krr78VH3vR41bWWdScLc/OZAKP+/ftxVdvugOv/+h/4DOn/pQX9X7ZuV3HA8hl32OF1Mj+fXvxts9dgyP2pHjHrz/a23i6LHfh12/GgYuuw2dO+6mV73NBzaHtPmzHeOCig/jOHbs447d+3Hp7Z192A86+/Aa8/dcfhQfe92jpcofu3MWrPnAFXuTpRbZ/31684v2X4Rf27cWrn/bQle/5bSC7Zy6+9hD+/jPX4C9/6eF47A/IS1b2Hf9dAICzfufH8UP3v0f9+f/41y/h4ccdg9c/fd/KOip/XBGztH/fXnzg4utw/S1TfPD5PyEcx1jSrbkY41dx9gt+Aj/43XdfXVeh+bZ/316c9t5L8KxHn4CXPbmbopR3EVpL43ORddT+fXtx3le/jXf92zfwhmf+CB75PffsPK6fevB9gAPAn/zCD+MZj1pfLbpPGDsE8H8zxq5hjF0SHQJKcGHCmScvPC4+qfPW48v59K2s1ck1LgE6A+B1Y6Gqbv8byGyVdkZprQjeRiZhTlQCj+uwVRoyUklag0PlO9gHVILMpkXQXsej8fpUgT9LdK4D/L73aR2lEqElKtOPUtHXary645bZKqnO2dyi47oej8KKim9L6q2rEe5WWUcxxiqBZw8itEkSRufM1Phccf+Xf/t6j/p1ZOkDSuaMiHYA3A2VQwAWTNjdoXEIuKtgcVEVuJvYVtBue/UDUv0g1fm8ucBUnbyLmnsIyEzATVAHua2HpspnVGSazP8vmzmvw1ZpyND5KPq2IuuKSeUQwBhbMe2W1ZyFhM7rUwXbCZ+vF6SJB6/6njEbj3SCpThnym5NhYuF6hodJQnuzDLpuqIx1usqBHC7WJu1UTJn6zc+159bv9eeby/jPqBLa/4GgBegDMQuaHx+G/QOAXcJ+L6ozB9I1Q3r0VTclIEa2oXfxfJGNsNSMicC43OgfADJmaFhBR/rhs74fGjBK78eRP58c8MXkt/xdGDODFmJ5kTTB3SWRUClDSa7Z3hWQsf4SZ6FE8U5czE+n85z3OOIsXQcKuNzXbZhITWxeqz8+CcenvWjlDDN1i9Cy7vZpZmFegLh59obWnbHBbqRfxbAjwH4PcbY9wJ4NYDLAHwSwDsDj20jMPNOx3abLXYBZ49cH4Z9gY/D5aUyU826JQ8KnvZIW8zJSNKtVY5NnRLZduiMj4cWvKr8WlX2TcHG0yk4M0xrhmIvFOnqkaJAvQ4WDRm/1Xs4ld7DIjkcvf+r+h5WGZ9rfTkVzJJuXRuoxuiCrCiQJrTCLkv3rfHW9Z7WHFCphC10b4u/BTCrHAJ+EsBrAPwjgFsAvCn04IaOomC1OrnMJNkWfDv6B6n/1CLflq5+bprlGCUkNX5eN0ZpglFCTnV/spTBzihFXjBh95WsW3Mk6dYChldTtW7IpDQ4Ztmwzo8qVS5rCAmJiWKyoMNuZvbi4/ePLhgyhUk6Tv3CtmTOVu7hRFo/lxcFiFo1Zzrjc809PEpUkzM1+6W6P2Yen/U6g3VbZAUzrr00CV79vUf912SvG7q0ZsoY+071718G8CbG2OkATm/IY9xl0byQfM82dYHGouYsRFpTU+/mqTjVJ0pmwb3mTJTWBMrfuC2wKPNWlHnrldsZFjO0bshENjmGxiwu0pqr96GsISToeEYpdiU1cDosnin6+7r5d1eYpJZGigL1mUVQOU5pJUjYqeoGRZgXbHVypaj74uNR1s+lqzqHzTFORon0t1vogK2uP/X4rFcZrLsgy1ndaardtyKzsLj2YkMAh27kKRHxAO6nAXys8Z2pRtrWovnQ8FWnYVr3EZI506ZUNV1LfaBMQzrUnGXi1Iuq/k7WoaQSeCyLiYd1ztYJmYYUUAY7WcEGFbyqmLO+0pqAG7MwNQxy6q5OX3U/Buk4lbSDeSODmNHSNfW071+ZxRDHTDOBGGsagpQMokJqxiQ9bApVgOSC3JI5k2YW6o5iX6ztsOqiXaALsN4F4JNEdBOAwwA+DQBE9P0oU5t3aTQfGr5SAbadVT5TQeM0QZqQ0b7b3Y19Y+IoNVCnG1oP3Ymi5kgupaGon8lyHDW5685nVBpSU4PC8XVDFZzPJcxpSExGi/HYvnDM61jXL2cwTg2KxLUSILmwmUT1TJjnxcr9W9ZO6aQ0VIGmnAXUMcMqqRmfE3FVGtkFWbGaWZDuW5VZ8NyMMrSmNRco3xaMsT+u9MzuB+DDlWgsUDJuvx16cENH80LyRsea1pwFSGsCZZ2GWVpzOC9SoDwPLukYWZA7UaR4ZWlNNQtQ4F5Hbu6DoitUGlJDfJCqGwJ4cL5OKQ03uZhSI8ssrdlHQ4DunjEZj2yyqJPSEAXXo4Tq4Lu9/DxnymPRBZqq63usqDnz2XkYIq1pzpypMgu+r71hNa25QDuVZ4x9XvDZl8IMZ7MQJq3Ji2DNZrm+Cx5NusKG1lkHuHezSYuJFSleUacXoBZ41KVEth1qZsA/C9wV/L4Spfh6EaF1FFqe5wz8fW/aAe675kz1jBqniTRYqBsUHCeLZbdmLqzTm+dspdsakBf1mwRIahFadTNBqqjJ9Dl5Ucl9uCArmCVzppPSiDpnHHfdt4UHLAdnfUlpeGbODArrhyYYCiwexLZYiNDKGgIUzImQOXObOW871MyAOLXcJ1TBED8G05eSn/HwYNHuGl8qvTBNa3p7QerTmioRWhspDdG9tTNOwRjqjvom8qJY0SkE5HVRJi/7saITUlenO+YizYHT/qPEc7dmXhhPUlIJKwmYZ4xMMTShdBcM52m4gWheSP5EaPkDSTdbzEEE7PH8gpgYFNYPsbjdVUF9muXYM1q1VVJpp4lMkwGNCGU2vHO2TtQ+io4vvnVDxZyKrH/Cj8dNy8+G3e+jKHuU6lNd2iyCZLI4UdzDsnScrC7KJEBKFSnD6TzXOiUAYpFmmYuJC1RjdEEm6HqVYZSQMPic50V9zr2RHJIO3k3CXfdt4QHLDQF+O5z0nVWFsjXbFaWnpMFMdUApKMDde3A2L4R1CaqXs8g0GdDo+AzwnK0TtY+i0J5GzF72CT4WUYpvwZytV0oDsH95zSwmkH0UZY8kzBnv4DUZj2yyWLPfko5rEfMp67g2OhalQ0ChvL7HChkPPn4fzLL3hoBcXLsn3rfYezhUedDQmtZsMZyn4QZiNjdPGZiimdZc9F+IlwvBNJgwUENM0bnXnMlTIuX3AuasLghvM2filAEvyh7aOVs3ZMXfQ0xBqNKIWQ81ZxPFZEGFpRff2hsC9EXZ0jSihYakbOKjFhIWp+NkHdcm7JVOUPf/tPflQfclZ1nPe5bfvTOTZEbIsGUhsSqFBjSBmgogFARRSBCNa5mUW6lUqiwXQFkSKAigFmXFUlFQjDhGSw0ikCEiIXHHpVQmTkgmwEBMEGYGndEwWee7v7u0f5zb5/Tt08vbfbY+39dPVSrzu9+99/Q953Sft9/3eZ7XZykCmG08RlVrTmJCy+ecueY/4Pf35CLF6k4o1j36hXFZ1hy3Vn4SZvJ0975pMjEcSwrfLnAJbBgqUxPswZmDc+ToEGAqGUhSdmrnbG7YBBNrK2seFuGcxZY1w4Iczvv4x/YLAqxlxIugMpZzVlg/fziay3E2Uj+HFynFBKZNtalHq4ra0TpqVJ+z0cuaZu6e/dieaz0aPShnzm40phQEAO5FaaqdAcfMdXdw8yeWwKYuo3ZdvpKI6VxIUqu+87aRm8fsjbdmlBargRTdvF2cw0PbW3UJE9oJBQGSlD1a82l/5qwsCiNJPIgrtz8ZgyZXKfjgsNJwlRbd7Zsc/TH3R895sLeOujocUdA4ZfSqJJxE03pwDISZ0JrLmrsD/1pzkaJReijWPfqFISd9GdnX0fad8mZ3LabTlTUZas0EU8ZDBAHGXXdlL4kcLc1+bWqtqZS1a4PtwZeilYbs1+q2Upk/OIsta5YFOS0yJCm7LAi3D6dRHt6cHryNq749YC8t10CFrTWarz+q0UrD4qDP8ZUsPS7/Pu6dHFf/s03WbQx+ses4MdgfT63S1Htsa5aUf625kOdszbjZT4uBkDvMe+6oR4z4T7jnjhqA22/oytPnLRZbRgYqRf7UIM6ZISjYOMqa7pKIYWc4kSfd2tD0UTTtnNPjnAH2jcqhtVKZsazpyOS5IN9/zx21JxN/bN8HjNOAmrNO2MuI3Xj85rn29k3qd6k4HE/GnpB2Kw3/PVq3XTDMn3f2GJVlTeP8GG+9dTVYj0FI5qwsyCm28N2jIUjxGRWKHJwNgHzo3n1HPUrmTAiB24cT7r6zWSC9mbMJOEy+DFTbBzGhLAfQZF0OJxHMp2iaGZtavxQgsiu9TMGZTY2YIqdqCdgFAWlmFm0l/q63avqZM7ku3X1n7VlPTu37Yo5jPrY/w27LNnPHDcgHcZji+mAJKnwcOA6pX/+8EILR+smTORtprW8brFv8GEOxD1Br1raspHLvjWWAzLn3Use6R78wpJfKnRt/KZCDnZKJU/9te+8UD3ufIGCXYB9EoBtP6I7flv4mImyqwvh9TesXkwzfZhWx/lYiY6C2ekilGbxuqtJspbFAWdPl2eWCmjlzryeXmbMxMhgcOwMbT3OnjpuzWXQIAmxz2Gql4ZrDnj6hQD/A2h8FhPAZ2MaXREMg71mT31gMjgE+Z6UlK6nee2Nyt1NLIITiZj8tBkLeALEeW6bvA4B77rx18W8TpmoHtK3NDySJVLNA0ZmF/dGqorQFqqamyYC9bJfqOZsbXiVcYsGrLXNmE4RMiZYDFyoIUNYUTuasW3tG2GwyuKlVabPS6MZ9WzEp7R3jYL93Ni5BgMXZ3s6B8/MiJYdNv8flb3Hd377M2ViUiNKhCo3BwbJRNcG6OVPuvfHEKLmseaMhJ00s38n0fYCye/UESVP5nLkWwzFbiYyJTjYf7qBuO4+2Eq+rafJafLyWQFPCMnHyjpMYKg9Fs1ExmRA3wfnc4/VtnEy44PMwNl1d1n6czabvnreZ0OproW08ro3PxrEmNCa0Zt6omRfln8NVmzm7PB6r9ZMlsAMk52yc9bYuzGOMxcGyUTWhtLSOUu+90cQoFgXvmrDu0S8Mmb2KVQrqkDcpj3PmbqQbC59kP9UsULSazcFNsPXr3B9Fr+k5YDd4TJVTNTdc5O/U7ifAIQiwtP6Zfjx+mxsdMrPk426pHC9gnMwZpwevrX1Tfy20tEVybBadHQIs19DOi/Jnv1olpPZ7dozArigIRPb2TWOt9S6z2xjYKB4m1Jbew1favTeGGGVMEcVSuNlPi4GQi88msum26fsA4J47bl38237sCcqaHm7LmH3exoSrhOGCa+GzlauPp5M9c+Yo0ax9sRgKe/CaJnm32XSZyeRzGtBKcAyidVztmx68z9w2nDNb15EuU+WnVPCPzShreqw0fONxbRbdPmcnO2/UModNPXhVVJaSIXdzVlszS+PND5fZbQz2p5DMmZvWMPq9l9gzKhTprYgrgpw0WwtxOOb7AOAexu51Sp8z+f3m4yZe1gy4Dr62SraM6N6h9DIZPHZmnOteLIaicuycUwxct5V502XjK00+nrqIKmtuq9IrmOm4aeOpNTkZn8rTNcI3HtdmsS4JBZnXhFDFta0Hr4rKUjLkzn9rYDjiWt8pSscpax4Dssj29k3atR6tpJ7WMyoU6x79wlAXvnEFAe4FqQkqpmmh5AvOdo6d6pJwlTBskG2VbJN4Y+ESHo/CaLxoM3jMZc0GrvYtqYkBgIazZHuwz9n0XCKG26puIJt/uzddnI0h/9icsqblgX3Q10JbUGnfLBKR9ZwdLNSEIaV3W1mzFQQwxBG2czHW/JD3ras1YAj2AXPB6nN4zu4+644KwPB7Typ4U6vuhCK9FXFFkBN2PEHAufZ+hzs4axVKEwkCmmPbOB5pB2chuy7fb2k4Z2YTUnPmzGzwyOkxeBPganyc2v0E2Mvay3HOwukT6hrV/NudObt7VEGAn5Rtzaaex/msrTub4tss2s7ZwVKOqyyiFW6g2Xy3bXPmD+5sZb/xMmfLmtCag88m0eDbQHCRqmgtFOse/cJod6V1MYoEuDXj8/iccQimsdh4gpzrVNb0BU3bqrCa0Jp2izaDx1S94eZG5VBrpVjy3Vg7BJizLlMjRnh0dfZDdLnlN+/jbQxDwCFlu3pZbqrCT7PwbbCq8RTXfv6cDHziypouQdHYPmcm+5IYNLZCfCsNV1YyVtRl+j4gvQRCKCZbYYjofiJ6gogetvz9G4no3ef/PUxERyL6pPPffomI3nv+24NTjXEomnRz43N2PInBN7zcrT5zW4OIsyCNf/k6s8twjseSiBEEtEGupWTgKomYdostn0Mva5zT9rcWIJGnBLtgIk3Ze8PxspHJF8icRQoCLoIcz6brboaND//YfupFWRQQwpxtbsRWZ65cRFmzed3mVehqwWYrLfLKmnrJkEtrsM2P3Yi2EJXD7DYGYSa0diXstiqVlnnD7r3rQiOZcvRvBvAK2x+FEG8UQrxUCPFSAK8H8B+EEB9S3vJl57/fN+EYB0FOGlcfxhCoN9WmsvPYOIaIsei4W3GL4VIYkjkLFQTYlF4utVaKPl5zw9YaZ5eylYalfdOc3QEuxhMTnNWlt8NAiAF2yLH5pcB+tolT6vKthbbsp80ConYFEF7OmJvWwDkX+mdPJ4Hbx/GUh6UlgIzF4RhmQmsrYW/qottgDyypXxdfycmesEKInwLwIe8bG7wGwFumGstU4PI5+N/X3VQ2jyX9fWNDLgJen7PEMmcxfAXfebQ+nC27bpdaa+0LxRioisLSviXN87OtSuyPovfAPASUcsaETaDgglQZcoU+z9qOS8r2qzXtJHq1HGtXmfrmcGFcy2xdPkpHAMFp4i6/++KzLUfYXxbVW0d1lIhx5kc9cuNzG3fPhLKwqdk1RfFISY7UqjuhWDz9QUR3osmw/YjysgDwTiJ6FxG91vP51xLRg0T04JNPPjnlUHvYHU5t+yZg3Fq5q4QxZdr2ZgoCAsuaNisN24MmUU7V3LD1UWzOz+JLUQ82nlYICXrc8ZTBRH09yLFTJZpMVVUWqMvwNlGm72vGzMs2mbLNDZ+XmTmzzWGrV6HFhNbKOeOXNfV7nKtwLw2eb2Ov9aWFFxuD06lRu4c0PgcM1/pw0q71OPSg1Ko7oUhh9L8TwH/WSppfJIT4PACvBPCniehLbB8WQrxJCHGfEOK+e++9d+qxXkAuIBvP7o4LtUG2S2QwJeGR63OWmvWBHE+ID5RPWCHJxLpx5+F0MpqQWtVaji4ENwlNH8V1dQgA+nNhf1zISqOyZ9NtkP0tO06mfU2Rv3eMXsHcgKTb0JizzYMFAYZsoxDC2hOytPiu7RhzuLLYVHCrDZWhddTYm2FpATRG43O5zoVkzprP9QPQjXKthyqFpxTMzYkUnhivhlbSFEI8fv7/JwC8FcDLFhiXE23afmSVSVUQqrJw8kumlApzyh8+p+wlUBSEW1VYexsOXwXoB902QYBdrZVm8DE3XH0UUwxebf1al8uchfspdpkzP11B/l4bTyvsuNzMmTnbpJe67BtV92bRtI4eHUGFnRfFUZ7aOGcnFARvQG/inI3N8bUFSDGQ38HlnNl8ICXn1NedhotUqzuhWHRFJKK7AXwpgB9TXruLiJ4p/xvAVwAwKj6XhLr4jBXxq7yGTV06rDSmq6n7FsOmlJvegxSQ1hcBggCPOWSbjTM8nJ1WGnpvvcPpxnucAWarACFEuh0CLMbGNkHI1NhUJQ4nYVT02dDn8zjmtcycWVSqIQjx9gIMD+yzgtdHGdmd2yrZxDabquhvrmRwZml8PjRzpgc+0lLEJwgyWc2MzfGtLdn9GIRmzqy9Rw88XiQXqYrWQlFN9cVE9BYALwfwbCJ6FMAbANQAIIT4/vPbfg+AdwohPq589FMBvPV8I1cA/qkQ4ienGmcsLvlh40X88obautSaI5NEVXDUUSk+SIFwNZvPf+ji4Xy2GAAk58yu1jRnAda9UIwBk+Ho7eMJQqS5y7WVAg9HgVsLXE914/QMZnDYeTH6rDQ6XmSM2a3p+wD/BlJmm0w8zXufuWky4qVdCOFrq2RaE1xBhdxACCEugileKyob55QneDFZaYxNYSktvLgYyNIoOzhrOWfmysJ4wro0RWuhmCw4E0K8hvGeN6Ox3FBf+wCAl0wzqvGg3gBjljU3ygL51Cduu489wc7Atxher+DMLwho3qfvvE+oHYIAXa212x9bi4KbjKooDB5waXIYATUY6j/c71wgc6ZuFp6x4S3dXINPtbQc08PT9H3yu1ywZ5vUKoLbVsi1HhnLmm1QYW/BpprU+nrwdr9l2ObM1EGjnR8jNz4fw0pDigrK0LKmMXgtUBY0jhglc85uNtRJM5rKRFsg7bvFaWvq7sUwTX4QEO6g7u0QYHs42zhnVv5MuudsTlQl9bsnJOzmbQtoQuwDxh2Pm3KgQwjRltR92X1JygZgbfgeAr4gwKHWrORaaFep+oKmjUFYtW+5UvY5rI7H14O3+y1mJeTVgZs56/eeHJs/NWbjcxd3z31ss20KMI4YJZvQ3nBclDVHNKHteB/2BXLqnYFzMUyUHwSEl2N8bZVsJV670sui1kr4nM0JkyAg5V2uzZDZ5nM313i464x6f1dlgaogJ1XiYu2ZiZRdWrMp6lroyuS7Nz7bqsTtw+nCW6sLKuyZMzU44/4Wm5WGGvg6P28QBLRB7kglOpuiNAaHwLJml7WzC6bGEaOku+ELQQ7OIrE7qMHZSM7GzB1Ex+eY5vK5F8N0PbtCd12+tkrWsqbFwNJm8JjyOZsT0ipAtSZpRRkJljVtrcwOlr6M048nLDjTuTeuoGt3kakKV4X2j80ra9aODgEd/9alXPeXNYFLUY8MDsxG0n2rCV+GXf+syUqDc38brTRGLmvaFKUxcAkrTDBlzpqS8eni3hsuRmnO2drb5a179AuiI5OriqLhPA1OWfPqcDzX5ycKzpyBYZp9EIFwB3UZNNlUVLaMqO3hbDN4zGXNBjLbqD4XpvTsGwrbpuu4YONzgL/O6FnJxjvRXx7cBHI3bd8H+DM+pSFTpSt4nbZCno2PaQ4fHUFFm1lS5rCvB6/+Wb1kuGPO/8rQOmrs+dFlzkaw0miDXH77pubY3W+UQfNGvdYjlNRTtHsKRX5iREKdNGP21txUnAVpWjsL72KY4IMUiFNrOksiNs6Rp32TqfF5qudsTpja26Qse7cFQ7bWP9OPx2ztYYOeYd94Nl2tz1kV3ibK9H3qmG0wqTV1Ba9rPL7NoinAlsGBiTdqyu5wA6ShtIbSwMnsgtyxMmfjqTXDTWj7WTvdMDaUN2zCdVHHr/8XLAQ13dw0tR6nJ5hqBLk79N3pu/dN97B3ihES7YMISK5cYObMWRKxm5AaG58byM0qKfumozYIJnYJ80NsnMPjQmXNUPqEzr1xqTD1TNVwz0YeKduk1tQVvG7+LXMOK79b3n+mykNtmMPcQHMoraE2cDLH7q1pylTGouWccdWapmuttVoaRxCQ7jMqBDk4i4Sats/qCfoAACAASURBVCeiZnc3sH1TkxHrFlLA3BJq6ptvU7nVUSnygwC5ww7InHkCTRvHZ29R65kWnzZtn+g5mxOlIUvi85pbEjbO4f5o9rmbfjyxZU0lyGFkxGPaRPW+r+UShnuD6UpPV1Dp2yyaAmyZuXVlzlTVJJcXKb/O3IrKf7+YWkeNLZipLb5yMWg7BISa0JqykoyKERfXRYCVnxiR0HelrpIBF7tDp+pxkX+vDsdJeV9eQUCCJSggnMjsCzRNZaTTSUAI88JuKhmkzKmaG93irGZJ0pW92wQBx6WsNGIFAWp50LDpkqTszQSCAF9AY/IG0z+78WXOGHPYyDlzbrDC5zARnY2W42gNJpPmq8MRdUmjtQsrCgLRWO2bwgQBphK2LngYp6Se7jMqBOv/BQth19uVjrOgqd8nX+sfe1r1n3sxPCWZ5QDCd/wxJRHJCTE2PjeotVLmVM2NIQ++JWDr13o4LlzWZGfOtJKRRa2pl862dXibqN53MknZJuPmXjm2Ku3lWIbPWfO+7vOunpCuAIJF6jcayTKDs7LfOmoKpXdtaBMVg4ODu2eCuYRtyJyN2AZxzchPjEj0+RxhfCcTdpqVBmDJnE2s/rMthin3QQQ6royJp2eCr1+ea9ftNqG1Lz43GWYPqXGtAsaGqV/r4bSUz1mY8KgrqbtLRjstUxVqdms7NtcVH3Bnm10bX7aoR3ngu/y5nAEE20hWFwTwFO7mrNv4fNXS0CYqBgfHRtUEZ1lT6QYxtDvF7nA9rIvSXBFXgB5pdWBZ83gS2B/FxQ4CMJN/5xEE9I/bqajSvG22dYGT4Bss7jznsS6bliIXC7urJGJQa10XQ8QxYPKQSrlDAGAOaGyCkDnGAgQIAphBjmmjqX4+BiGlPMBGwHdz5TibRbme7gwbLNccPhh8zjgP/MZItgsuTieB2wdetaEq+1YauwlKdKbsXgwOjo2q8bimrOShf62Hi1HStXsKwfp/wULYnflK0iNrqAS4X4I4CwIsZYhpgzPLDnvChutjIPzhdfJyYjZa5sS963ZJxfNUM3lIpZ5ZNGXEbYKQqSFNNbnrTI96UZmz+z07g0Bumwn84EyqI1URjSGoNIy7MTR289rkQ/rChNbpc9ZXa/o6iVz+Hmq/H2g2tOpv8X7W0L5p7PXW1KkjBnKTVTPFMabKQk/8MYYY5ZpYF+UnRiT0G2CocWN/l+sqa05LeLQthlyn7KWwCdzxcxY+nQPh4quYfbzSzgzNCZM7+dX+hII6m43UoGebpCBkCRNayYFj+5zpoiUL50y3MzDxtELBVyiaMlWXCt5tVZ4rC/3ApRm3v0PAJTXBbp7aZc76c5jVgqkojN0FuHy1OfryVmUxTvsm2fg8UK25d2bOhnO3U7Z7CkEOziKhT5rmIT5gMTPcpOrrl++dtqZuWwy5TtlLQY6Ly1ngkG23mnrIlTkz+Xjp1/Umwxa8bmt7l4aloWeRXU2zZxlPgF2MqaxpCuxMpGz19RhwMz61IVNlEjKYxsMJmkwN310mtCbFdUjmrCxIywzzM2flmah/0d5sAkFAkzkbT63J3ViZlbmXlitjiFGyCe0Nh774bAN2tMbv68ne3YKAKbNXvsUw1V1J6EOFsyvVH85d6xd75sz0oPH5Pd0EmIPXtEsQepnFxVeaZTwBwqMrbTNlU8L12zydeVpDNpvMoMI1Z9SgUh2nBGez6BL1GBXXben9cjyuHrwqai37FZI5qy1WPKOXNQ2q0BgEqzUNmzOTpx0wTIySy5o3HPriM9Q8z7SDUF/X3zulqaltMRzbEHFsxFgN+H6LXgpyNU02GTymHtDOCVN7Gw7vb0lstH6UrqzLHAhZZ672R1QFtRuJbVVifxSO/o3yfTIDPWQ945Gy28bnF1YamvfVgM2iaU1wmdB2pXctu+vowauiUUL2BUGczVlptJoZf35UY1lptBsV3vjMrbH6goDm9YH3XsJrChfr/wULoV/WHCoIMJc1jYKAqTsE2BbDA38XuAS6XZd/YnPbKm3r4kI95GqabDJ4zIKADqb2NqnvcjeWzBnXPmBshKwzut+TzYrDyncdoJrjXlfTA7ufTZGZPH3c/s1iWRDq8lJxfXSU42wbCO78rcvC2IqKlzkzlHgnEgSMYkIrN6rssqY5KwmMJ0ZJ3e4pBPmJEYmr/fHiwT7UPG9ny5xp33k8Cdw+TuxzZl0M084Chey6uDwS3SJl7+Ccydf1xVUd202GsTVO4rtcnad1cGRd5hkPf525Olxm2K10BW0ujCEI4JKyzcbNlxy4jYE31oybt1nU57CrHGfzXePO317mLECNbJofuwlsIfQxxiK08XlnpXNpONwE0OPce6nbPYVg/b9gIVwdTr2FbyiBtvked3p3jkbRJhKt+u9kbQ/aXZd/YnMXTT1TcfSk8quisHBO0jxnc6I2lG12ie9y9XkdSoIefTwBfop6UGHj8/QoFWNZaQSZ0F4G7KqCdygHVqcmHFycM2P2il+pqMrCzDlliSPmmR91OVaHALty3QRzh5BLs+KhZc3UqTchyMFZJHQDU6nq47rT6+iRcr0B0pKZszRvmxAHde4ktqn1SsvDWfcqmuN6rQWlydNq4m4XQ6HbynRZl2XGvAkoa+pZF+uGz2rjMz0p22ivoCl4Ww5cL6jkbRZ72U+HBYTNSoOb3dVLhiFlzdLSOmrszXBp6EQQg3ATWrP443IDYX72cLELCIZTR7qrYuIw+ZwB8QonfRdYlQWqghZRTFrLCIkrD10KVx3cQFMvI7V8FVvmzKDWKhVS9k2G0X099cyZXhJrW9asQxCgPtht88PGd52DlE3UNPV2KXj9mbOwOXxwmKfa+r9yH/aVVjIMqXTYWkeN7nM2WvumQCsNi8+hnuSQr8fgOm2G1/8LFoKejt0EemyZvg+4XGg2VX+XPEdwxuWmpIYQGTaXC6aXNV1Kr+b1ok8mvgYLxRiwPfhSLZMDXTAkM+Kh2YIpxsO20jhcPthtfB6rUjwyexFKyjZ5g5m5cnFroT6HD47st6nF0C5gDuutkULWa33zcjiecDiJaaw0xugQEJk505vcq9c61Ehcx3Xi+OanRiR0LsDgdKy8qXR7DqtCafqyZt9XKO2UcZu95AgCmOdxU9l8zswLUq311ks9MzQnbH0UUw32geb+UPu1ukyIZxlPgAmtruo29ZkEmntU5XjZMudcyLZKbIVjQT1XfZbKVLPcsKGf/fQ3Po+dw2Whc874mRzd822qzXDTnH145kwGWdz2TUVBKKivzN0YrnVsBUpvRbZmpLsqJg5ThwD5euz3qd8j/9tmZzGtCa1Pcp/mbRMysfmCgJLdWxMwq7Wuw0IxBrqsRL9DQKrQs0gHR+ufucYT257MZjUjS0uS40VE556y82QvdA6UNXOmjVvnytnQE3W4+uNaOXD8QNPU+imsW8Ip+LMhMLWJisHxJEDUBF3sY5sqC+pzdKAYJXW7pxCs/xcsAFPaPsRjy4SutHBZhtDLpCHS7FjYFsOr/YntlL0EbpUFiJics3bX7S+J3D6e2sXMZ7yoK6GmkMKvFTY3+JSDM73M0pY1F+Ochfqc8cqD+jUYoj4PUSgCfW+wXlXCosKOVVy7StPmFkN8tWaPPxfUvumyrDnVWq/b/cTicBLsrFl7bL2yYDBzb14fh7u9ZuSnRgQ6LxXTAhIf8d+qiotdiEk2P4epqWsx5DplLwEiYlsNmIJhEyQP5/Y5mDt6eiuWmlprN3Ef1DXBaEJ7SDt41fu1+gQhU2NTNVQHjirc/uAzZM60eTDEVDu0B68e0OgK3o01k99sFn2E9E1VakbSJ1QFGdexNnMWOYd7m7PDEXVJLF6W3t5Mnv+x50dT1hzHSiOUe1kWdJE5a/zwLs3cgRGsNK7Bmpvuqpgw2knDIK1yYSKdNu70Gu9rBsKjbTHUJ1KK4D5UQsjE6vtZJrSR7uLXHbrJ5ukkcPswvlXAmNC5pD5ByPTjKSBEs0H0Qe/Bayv7m7y0hphqh2Yv6lIrdWnj2VRNRlwvs8qgybdZ1O1HDkdhvX5t4/PIOVz2ypr8+1u3mpkqC1SWI3UIOAl2dwCJuuz7QBqVuYPvvfWvuev/BQvAxHUYHvHzSgtzmOzZFsPUS1AAvxzDzUDqi4Wr8Xnzel+tlfo5mwu6yWbXpSHd86Nvulytf5YYjws7jStly+7rQZx871xGoP1S4GWmSnLg+ua5vKCpUbheCgJs7bfa9k2Rc7g3/w98G45aK2tOtRGvxyprHkWwMEavLJgCcSCXNYEJgzMiup+IniCihy1/fzkRfZiI3n3+37crf3sFET1CRO8notdNNcZY2Mj7zd9GDs4sRrBTtryxLoYBTtlLoTln41ppAN01dzU+b14veotz6udsLtg4NSm3b+oeFmfO2cKNz0MUyXa/MFPmbLyyZigpuyr7xs398Zg2qry5tdX6o7rKcUSEquh4UdwevO1vMQiCuPd3T61pqNCMgXKssuZJBJsx+yoLw8Uo05yzJTDlL3gzgFd43vMfhRAvPf/vuwCAiEoA3wfglQBeDOA1RPTiCccZDNPiE+KxZfxO44K0jM+Z/H7TYpj6Tb9hWg2wy5patsFnpaEbPOayZodOjSatAtLf5eoBjav1zyzjsbjl6zieBPZHoZnQ2lXYeulto2WbQhC6RlWmzBkjk8fdLDbrqJ45swfXquKa24NXQm/fFNIBo9Lnx0RrfT1WWfN4Cs4gmyoLuqn5EDFK6nZPIZhshRFC/BSAD0V89GUA3i+E+IAQ4jaAHwTwqlEHNxAmFU2IO73xOw+Gm9SyIAHT19SNx15BiY47sbn+Q3pGVJY77Ca0hrJmwpyqOaFzzubw7BsKna6QQuNzdTw2dIrJ7twWBeFWVVisNC6vgckAm4tQUnbfuLm/zpjaVnE3i9u6xOEk2mvn4pwBl2rGUMVkv31TQEl0pvmhl5FjcTy5z6MJemVB9+IDBmZtM+dsNHwhEf0MEb2diD77/NpzAPyK8p5Hz68ZQUSvJaIHiejBJ598csqxtjCpaLYB5Qbzd/ZLC3rDXvk+YHo1immCpN4HETiLKJiCgIrRVkl3VT96jBf7hFd+SeS6QzehnUPcMhR9n7N1cM66dULLxldme54prDTY3mA94+a+gnfIZlGvahxOwulTVylzOJQ/VxXFpZgggNagd9AwGZOPAV2AEYu9g7tng1oyPp4Ebh8tJezorG3adk8hWPIX/A8AnymEeAmAvwXggfPrplXPeicJId4khLhPCHHfvffeO8Ew+zClm3VuUvh3mncQfVL+CbfKIsj4LwY6iRZYB3+KO7G53kW2h7PN50pXa+mk7JsM2UexU6OtIHOm2cp0TbOXMqHl+SleWcQWNmNr0/vG6hPsg5pttil4jcr1AEGAOq7D6eRUGVZFx4ELDTSrst+Kiv1ZrXXUVOKv8TJnw6w0bJuzYWKUtO2eQrDYqiiE+IgQ4mPn//4JADURPRtNpux5ylufC+DxBYZohSl7NYYgwFh7NwgC5vCFsmXtUi/RsX3ODCRo2/cBXUa0zZxYM2d9tVbqAe2cGFIyWgL9subC7ZsCy5pcBXgvexHQJqp3bGZbJYlaIajbFLwbZlBpgs4bbTJnjuBMcdAP5UUa+XPckqjW+HyqEp0uwIjFPkKtWZuykiN67HHX9TVgsV9BRJ9G5/CWiF52Hsv/A/DTAF5ERC8kolsAXg3gbUuN0wQT76suC5QFRadjTR5i26rE/iguDRpnetibFuc1kNtDfM70YNj2fc37JV/FzTlSycQmUvZNh6rWCnWSXwK2DgGh/k5jwWYQrcP2YLeJjKYgZYdlztwBiUmFzQ18dGrC4XhylzUVDlxodrc6Z4akSXAc52xawYweQMbiGOFzVhqzkv5AnIuQbg6po5rqi4noLQBeDuDZRPQogDcAqAFACPH9AH4/gD9FRAcATwN4tWju6AMR/RkA7wBQArhfCPG+qcYZA9viM4xEaybByr/dtanO/z1PgLSpS3z46X1vjJyAZknojcptiC+JeExolVY0JlL2TYeZz5Pu+dGNW33tu+Yajz9zZm5PJjsMqDC1GBuDlM1Vdlcl4epwGZD0xVEFnojcLOpz2BdUqC2Gut/CzX414zkJoCTJOQ1Ta/Y6BExhpXFqAsgh5b+9J8g1oVazkpb1cVMV+MjVIWpMaxCtcTFZcCaEeI3n798L4Hstf/sJAD8xxbjGgC1tb+JpcWHOnJmCs3lKi+bFMP2UsYmbYgI3A9kLzo4ChaPZr7lsl/Y5mxMqn2cNggC9X+vB43M3NbhlTRuZXLeVaEnZFkpFzAN8dwgjZV9mU80B+yCfs16XB3c5riyoVWWHlhZbE9vjCWVRBlU69NZRu7MadWz+lDS7jcl8qTh6ysMmlKZrbbj3nvzoLmpMu8MpebsnLq7Hr5gZtszZdmjmzHCTArhI58+1MzATh9NPGYdYaUyi9FL4MzZS9k2GSkZeg5u33q/16BGETI2Ndj/aYOuAsdW4pFZSdl2y20TpCCVlq95gdq6cuRzL45xpimuPBUStKC677FVYgKVmv/iWIvpnp1nrS00VGovY9k1tZcFx7w0Ro6S8noQgB2cRsBGZY3kaQgirnF09XvPf85Q19cVQqqhS5gcB0jzz5G0Mzc0C6v51h6Nf6TV1b7w1Q5Xxc73mloY6F+TYl2p8zrXssfJ5tLK/LVM1pI1O6BqlGje7OWf9zSKnZNjzKjyenBY6KgcuNLvbGske1QCLL4xoxqcEdhOs9XXbw3NgcBZR1iwNlYW+bUq8GGUNdk9cXI9fMTOu9icU1Pc6MikcOdgfBU7CTN5tjqcspnMJArTFMNQpeynYmjvrMJn+mlAWhLokxUrBY2Bp4FSkfs7mRFn0+TypB6/qpuvYWmkslDmzuPzrsGclLsv+LlUnEOfbGJq9MPIQPRvfdrMYIQjwleNUxXWwlUbr5XfC4XjC4ST4wohSZs66zNIkmTNDc/cYxJRF1cpCl90d0WPvGqnj81MjAnLx0dP2zcIXsZhZFtK2j56ymO72vAVpKPQJMpUh4tiwNXfWEbIr3VYdl/DoMV6Uai2gu26pZxvnRHXx4FtHHzy1zOIThEyNjgPnU2vay5q7vX/TxTW7NR47kP6g8jTlPOs3Ym+ylzIjLsutQXY4ilehN3Pmsfaw/payK00Gt37q9dachl8skwr7gS2cYqw0KlNW0siLHI8etFakvSomClt0HmueZ7MUMAUaV4d5fM70xXAqQ8SxEeKgzp3Eakb04DFevMwCrCOgnRMX5O8Dr0vD0lD7tfoEIVND58DZYKdeFD0Oq+19AKKsgbhtlSQuy5qWMqu2UQ2ZW/3+qCePz1lfcR1O6hfhSk/dSiNA6RkCaaA81E4jpn1Tadic2UrYPmqKCVOdsyVwPX7FzGhInv1TFxvx7yzcm7ZEt7/MnM3xsLcuhonf+CFWA9yMltqp4XAUrdrJhAs14gqsIuaG2ltvLeTdjeKx5cu6zIEmwOJZafjc161lzQG9gsPLmv3Mmb3MqgdxIV6F3Rx2BmdGRWGYy//xKIL7IJczZc5kdm+oEe3+5ObumVAbfA6nEKNcB+SnRgRsi09srdyaOTMKAuaxs+gthiuwPQBUhavHaiDgPKr8u8NJOJV6a1Mjzo3mQdw9YNcQuG4vMmfurMss42FwW21eY3KN0jPiPa+pAe3oQknZJpK4yUMS6OZ1yGbR1ILNxZXSxxOS3a2UkmHo/CeiyywiU/AQCl1RGos4Kw1DZcF2raPEKOnbPXFxPX7FzLBlXWIbttrbWPQDjfmsNCSxXi6G68gCcXuchhBH1Yzo4SScSj1pCyCEWE1AOydUd/IdU5SxNFSelq/1z2zjYQheTD14t3WBk1AUgb5MVSSHNoxzVvTLmpa1MGazqD/sjx47HL3FUOhvkccILWsCl4Ki3URrvQw0hzY/bzKQ4Sa0nZWGm+8YJUZZgd0TF2k/aRNF81AZr6zpUlYBl4HGlcGsdgrobWLWwp/ilGNC2yqppaDD0cM5U3alawlo50TTGqcr+67h3FwG5+GlnLGxYVgNmFz/gf6Gb2eZ19w2USaElpaMxs22tTBis0hE2FQdNWHvyX5etBgK7NWomtDGzH+1ddRuokBjrMyZj7tnQmkqa9r8PQPvvbXYPXGR/sqYIGypU27rINP3AX7ex/54wvE0T69GfRFfQx9EoN8L0YRQ/pxarvZxjirF4HEtAe2c0K1G1rDLVTPiMaWcScbDEASYzq0+P+ykbB5303zsQJ+zCxNaO1fuctxhc+vSDsVd1tRbDIVkvmpVrRlBa9BbR03hAVgV43DODsdYE9ruWtuyu0C4GGUtdk9cXI9fMTNsqe6m/BFn2th83i1nn5PDpC/Oa8kCccqaoefxInPi2XWrcvi1KFznRKlYjazFk0jNnMbYB4w+nrrwrjO2DaR82O88awq3TZT92IGZMyVTVZfUy07b1sIQUY9qJFw6ynGlIlqJ4c/JY8TQGiqtddQ0Zc2xMmex7Zu6a2jM7kaKUa7bZjjtJ22isKXtt3WB2+fsVuj3NZ+3ESPnD5D0xXANfRABHlcmVEW10QQB7g4BilrLQsq+yejzedI/N+qD/ZiEWtPPbbW1DdKDLuvaw2wTZT52uFrzJJqylGttvRx32By+zH6eegbiKmqty0fIb6mV5uWxZc3jxB0CqrZDwNDMWXiJX1fm2pIcQHhZ87pxfNNfGROEqUk5EE+itUX8RUG4VRWLlBb7geE6Ag2Og3pw5qzqMqJeGb6q1rKQsm8yLvg8K5G9qyUxH19plvFwfM6YD76pSNmhPmdAl222ia2acZ+5coEP4kveqNuf64IXZeEXuz7bHONkXdd9n9+fTq2gaErO2WGoICAic3bJL7Q9R+NK6mup7nBxPX7FzLDyObSSAReuWnlDZJ0/e9XfYa+jRNcFyPZrIM8nl0vSZE5UzpGrQ0C3c7aRsm8ydD5P6vcTcNmvNaZlzdjgCI9s5TibJYU+F2JLS0KEk7KrUp0zdrFVM+44ikdPce3kjRZaABHOOYulNcj5cft4ghDTrLe6n1osYhqfV2crDdlP2rQGy9dCm5+vpbrDRX5yRMDlcwaEExldGTF11z5no+ihi+FS4HBluvR3uCCgMV70c872551z6udrbpTF5YNvDcGr2q/Vx1eaZzxjZM66NcXE8apLQsFoE6UjhpTdueqfrOrITU8QELYWbi5EPX7FtcqLCpnDpVIyjDHullm7KVubtc3ZBwRncqMSOhcus6QWXmTOnAHIwVkUbOaAXI8tHa4FTc3azBkgDV0Ml8KWYWAY6j+0qbqWN76WJSrZ9joZIo4FvbfeGoJXNYt0jLAPGBscK40rSw9efY2ylZaJiBUE9o8bXsprrR3OQYkrqNxpayE3Q6fOYV857rL/a9gcVkuGcYKApnVUjNIzdIzHAZwzmf12dUsxHlvj5HF4kVxkQcANh/RSMd5UA1QmRE1TY9N3dgvpfKXF3mK4kj6IVVmgKsh5DULbKm3r8uyNdjqr9VxKL0WtNVOrrTVBb42zhvOj8rRiSjlTjMdH1Ld1wDBxt2wBToypdswaVUpT1JM929wPKsM2i9JIuCmpwUNNiL9HK0NZM4h/V15mzqZUaw4xoZXBq6tbivHYamXBsjmLFaOsxe6Ji7SftAmiy3KNG/FvqxJE/Ru9cQO/JMHOQcrXF8NdIPdiSfja28TwVYDm2vsyJ6paay2ZoTmhZyXWUNZsuaSHo1cQMst46hK3DyecHGUpa5Cj8XlcVhFN26q4B2RItqkuumyzT2ylBpUhm0XZVUFmbZ3UBEVRvAvlzyllu93hiFtVYVzXXZ8/nLqs2yRlzREanx/azFm4WlMe23bvxYpRpiwFL4Hr8StmhGvxie1H55JMq0TWJTJnV0rmbC0lOl9j6NByg3ouOH35gM4hfC3nbC5IQvDh2GSh1pY58wlC5hlPt1mwwdZJpGdJ4dhARJU1I0p5pVoKtJRZ67JAWdBFh4CQY8j+qDIg8XkV7mXpPbisKQOfUxN8BAYKMjCcksIyRuNzyclzUTyMx9Z84Iw868gKVBYE3HC4Fp8hggAb/0ktLcTsSmPRXwzX0QcR8HdqCPZIUhYLX+ZEdQhfi8nqnJBWGqFec0tCDWh8gpBZxsN4eFmVcAZBgO0a3IrKnEUIArSuGrY5s1HGE7pZlIGmLOW5BQEFhPRdC5zDl7SG8Pnfzo8Jye1jtG+SmbPQuVBqanZzIB4nRpnz+TgHrsevmBGuSdOWDIJ3m/YFcqNyzmbeGWxVG48VZYF8DuqhxFE1I+ozIe3UWsJKyr7JkFYBUxKex4aaOU2lfRNg3wRKmwJX5mynqLBt80ClVHARJwjosk0uBa86ntDNoqxAtER2Rgu222eOachvuTShDQ/O2vkx4VrfqjWHcM6OMgMZV9Y8tPzC/ufjxSjrsHviYh1P24TgUvrFqjVdk7gJNHTF5EzBmZa1W8tN75vYoZNYfTj7TEg7tdYpuCRyE1AWxVnJtsLMWTJWGu51Zn8UOAnzOnGrLECkZs7ca0+sYi6Gp7U/unmaKgcudLMo1zJOOU7+7WO7w/mzsSa04RvasiiwVz3SJljrVV5cLFruXmRZ8+DJLMaJUdaz4eMg/ZUxMbhSp0MEAU7FVE8+Ps9lU4n1ayrR+SZ2aLcDtfODz4RULRmsKaCdC3VJmgdU+udHtZXxtf6ZA751xpVhJ6ILt3w339UtrDEeO6qs6bdX6MYTt1nc1iWEAD5xu/m86xrKOfyxq0P7WS4uTGgj1sy6oHMGcboSXRecDeGcxZU1VY81V8UoToyyDrsnLq7Hr5gRrh1NbHDmIo425PaOnEo0nxplc+Gxtq6yplOteVZRcdsqqd5pTebMXxLZexafm4qyaPooPn07zGtuSVwIQjytf+YZj1sQ4HuwX4iMXFYaVXhZM6Yc1zdutlA8Ebr52gAAIABJREFUBmwW5Zops2Gu7Gc1SubMLm7wfV5+tjn2FJmzEcqaJz93z3zs5v2SIsAJxLlYi90TF9fjV8yIVuLs8uIJ9WdxpvKV3eK5Z12INHsILj3W1tEHEbg8ZyaEqqhCOEeX/Jn1nLO5IDk5MQ++pdAGQ2efMxdfaZbxeAQBbXsyRjbeRspu3jfESiPcG6yxuhBuischbrMov1Ped87MWe8eDeecdX1Cw+6V+tw6Sj5DpqiSqLyvWMjPhs6FfuBrEX9EZW2vV6Ui/ZUxMbgMTIeY0LpLC0eF5DvfzXe5GK7nxvdzzsJLIs3nTtifhNN4caha67pDnp+PRzz4loJKwD8c3a1/5oCuuNThC5BUE1vO2hOCmNJS/56wlbq0smaQIKC8OIavfZP63pDsrt74PEatKfmq6rjHxBi9NQ8M1asJMjD0Xmvl2cPFmqo7HFyfXzITXGn7oiDcKuNq5a7d4kkoD/sZMzGXHI919EEEZDnWrdYMC846K4XjSTiNF+VO8mp/bEjZKzlnc4G7c04Jus/d8pwztyDAFyCp7Z+8pOzYFjoR2SbfPXHp+Rg3h+Ux3NSE+OzupQltuHG3NGmeshVRPYZas1W9hjc+B7pz6yqph9OD1mP3xMFkTw4iup+IniCihy1//0NE9J7z//4LEb1E+dsvEdF7iejdRPTgVGOMgW/x2VThEf/uYA+6WjLy4Tj7zkD1Fdod1nPjb6rSadBpcyG3QV7rp8/BWYjSay3nbC4M4fMsBZVzePBc/1nGowhUTPDxvtQm4JIqYX5fEUzRkPMuhBfbnzP+TF7oZlGur11wxhAERMxhoqaJfGsVEWpCqzQ+Lyg8+OFA/vQhmTPZlzO28bnvWm/qwrmGmxC6rqeOKX/JmwG8wvH3DwL4UiHEbwbwFwG8Sfv7lwkhXiqEuG+i8UXBuyuNVDi50rvNe44LlDV5qq7UoNqPmBC8664uSyIcE9pO6bWOczYXZB/F9vysIHhV+7UePIKQOeBVa3qsYqR/4f7Y+H65+K6+NlH9Y4eTsmUm2qeOVFXYoa3RWs7Z+RguakI1cA6XBXkNde2fLS4+OwW/mIhQnVWhsZBZt9jG595rHZE5u240kslWGSHETwH4kOPv/0UI8Wvnf/5XAM+daixjws/ncAcGtu907XKBhut2FdjnbShW7XPmtNKwZwtMkDv0NjhzmtBqfJWVnLO5UK+QcwZ0thKHBExoN0omzwS/WrM8Z+L97wPcbaL6xw4v5fXmDEOgMHQOu6gJOucsxg5DZr9CA7vWamZi6yLZYD0WsWpNLuc0SoyyIrsnDlLZ1v9JAG9X/i0AvJOI3kVEr11oTEZ4d6WB5nlCCGdzXXWXHJMmHwI5QdbUBxFodl37o7C2J4mV4X+UlTm7fO91WizGgFycP7qisiYgLW0azpkr6zLPWOJ9zprXi/N64lvLuqw9FzE9eGW22XdPbHRBQET2+6MsQcCwOSxJ/THBQlkQjjKwm3Ctr84Zulh07ZsGXmtGCZuLNVV3OKiWHgARfRma4OyLlZe/SAjxOBF9CoB/RUQ/f87EmT7/WgCvBYDnP//5k4/36nBEXZJ1codG/D6Ohsp32e2PuPvOW4EjjodcDNfk5g5cPlTu2vRv8av9CZ98VxiPZFMVSubMzzn7uGfxuamQwWuMEm5JyLlwOJ6cWZc5sPVmzjxryjkL6COdq3xXLmJ68HKzKZtzW7aYzeJWz5y55jBTUWhDXRZ4en+EEOGelHVZYH/mq02ZdW8yZ8Mbn4dmkfmZs7iy5t131EGfSRmLrjJE9JsB/ACAVwkh/p98XQjx+Pn/nwDwVgAvs32HEOJNQoj7hBD33XvvvVMP2auYDK2Vc2TvQMOx2B2m3U2Zjr3bTyvrngK+zEJMW6VtXeLju+b7nJmzQj4E1nXO5kK3OId1aVga0pD5JMJLOWOj5cBZgibvmnI2l915vLRi2tHF9OCtmHNmW5W4fTzhExHu+Z2VRvNZ1zXszeGIYDN2/peF7K0ZVrYNRXXmxcUi3oSWd61jxCguW5g1YrFfQkTPB/CjAP6IEOIXlNfvIqJnyv8G8BUAjIrPJdCohBzBWWDE72t3onpsLeFzdvt4aluerOXG95kBx5zHbV10Si8X50ySiXNZ04haOT8hXRqWxrbqgvOlrTQA9zrjy4jJ7D53Yxi62YyxjwD8Cl75vR95en/xbw5kANqZ0Pp5o7FzuC4Lr1WE9bMDxAQhqM49bmPRCgJCTWi51zpKjGI3VF4jJitrEtFbALwcwLOJ6FEAbwBQA4AQ4vsBfDuATwbwt8+KlMNZmfmpAN56fq0C8E+FED851ThD0Xip2G/IbV3gQx8PIdD6F1L5vrlr6u1ieBW+GC4JPycn/Dw2mbNwA8u1BLRzoWx3zodVlXy3daFc/+XH7aJP+DNiTWDns9yI55wFBmc9KoB7PB9ug7OYzBljDmtlzdAMVpM5i6M1lEUBcW5vNuXaUQ7OnPkbyJvAFVuoYpQ7bvHup52jFdkaMVlwJoR4jefvXwPgawyvfwDAS/qfSAM+wusmUBDgJ+8qPmczq1HkwvLhTzSL4Zr4QYDbQT10h7WtSl7rlxWarM4Jdee8pnOzrUt86OO3AaSROdtUpVUVfuXpwbupGx/Ap2+7bYG6jiehas3QbArXhLZ5Xa5HMYKA0Dkck92tSoqe/+r8+LS7t0GfDYFUhcaiy5xFWmkwA/Gr/ZEdnF03QcD1+SUzwScV31Zl2+KJ+32AO70r37eEzxkAPBWxU10SLq5MbBsstazpypz0SiIrCWjngvrgW1tw9jFG1mUuSPWoCVfn7L7NI0vOD19GfKNsDLmIbfYNcMqazetyPQrZLNYloSBu4/MugIjJ7lbFgOBMnR8Trh1DM2fHaM6ZZkLro/OE3nsrWlN8WMfTNiH4bgApUw/5vuZz7h3E07KsObMgAACeitipLok2JW64DvujiGqrtFEezi7jRWnwuCYH/Dlx8eBb0bnhcg7nglRcmsDZQAL+ed01fJ/2AVkzeZr9cfOvAxFdBNjODgEDs7tVUUTPfzWzNOX8qMtikFpzP0Ljc1d2N1SMsja7Jw6WX2VWBp8iJFwQ4Cbby93rR8+73HlNaOVO9fb53+u48V27Ll8Z2fWdHL6K/Hs2oTVD5fOs5X4CpCDA/2CfC9u6tLZv8irK24y4nNfjmtCG9uDtm9C6xxO7Hqlz2GWHo/KiooKzkrycqqmOzYVUhcYiPnPWcU6d2V0PNUXH2uyeOLg+v2QmNHYWnsxZ4GIGuF2xgTiexVDIwOLDETvVJeHadcnJHho0basCe6ZCqS67967lnM0F+fDZH9e1y93UZXtN0wjO7IIAn+CFu6bEqDVD2yoBnXXF/iicD+zNwLVQncOcxuf7o4iav1VB3fwPvMdl0Ngce0qfs+5cxKBdC0N7azJ/X+i956tArRH5yREIb1mzKnE8CeyZKWOfYupWWYAoLpU/FL0ywkoepq5dl+QDhpaH1evDyZwBAFFz/TI6qA/F0AzLklDnnSvrMhdcfop+6gVvXvvMbs3HDrczKAqCjMeCxh2huJbgND73jcf++W5c4Z5v3bGnnB/V4MzZWa0ZOBfUtdN1n2wCy5q+CtQacX1+yUzwpe1DSwE7jyCAiLCtyi6VP2OAtPaypuka+IJh+3fyH86SQ7OtpmlcvGao524t9xOgP9iXXzZd9AlXO7jms5fz2kvKDs6chZ8fmYFxZvzkZjFyLVTPibOsWfICCNbng8uaSmA34VrfmNAOUGue4rLIatXBRw8CYC3d69i1Zc31rCk+LL/KrAy+tH0X8XNr5f5gYVMXi5DyN1rmbDVu7pX9Gvj6CdoQ8nCWu8M1ZYbmwtCsxFJQH5QplDU3rrKmpwcvd16rBtgcNBUDEWW5084ZD2UEiBcoXWywGIprIG4OD/n8XJuXwY3PI0v86ttd13oTmLVt6Sorqe5wkJ8egfCl7YOJjIxa+bYqo4wXh6Jv+riOG9/1UOkmcaBaU3m/r6wpF/61lIHnxGVZYz3LjzrvUrDS2FR2QcCOoSgHmnnt4niVBaEu7W2idAwpLcmghJNN+fDTcZtF7hxWeVQxD/shG5CL+TGpCe04jc9D5wIRdZWFETNnPkuqNeL6/JKZ4FNrhtfK3U2KgeaGe2oBI1id45EzZw18xoucB81NhVrWWFNmUb33Q+0DpoBTELB392VUM2e+ebBxcNv6x40nZcuAxllBqIZmznjZz7IcFiCpViuha2Y1MDDkoh5a1jyeUBUURdvoKgvjCQJ2OXN2s9F6qYysMml2qO5dhE/2PgVU6fqa+iAWBeFWZTbpjN3dhwgCOA+amwouITg1hFz/OeDsremhXqjz2jcPXEFg/7jx2YuSkW3WrTRCAx/53QXBuZbVF4T++EAzRhBUzZY5G1bWPJ5E9DxoKwvOalFgkuOQBQE3GpzFJyYd6yvvbBTDyXk7BHQTZE0lKKCZ3KZODbE+ZyGZE7n4ZI+zPq6FICARtebhJIxGon4vRmVeMzJnXBPaIZkzmY3miK2u9qeozaL83T4T4aGlRfn9MYKgueZHXQ4ra+6PIjqD3FYWnNWi0CRHFgTcaPD4YeERv++GUm/iJaw0muOu66a3ZRbaSRzaWzPCSmNtAe0cGGIzsCS4ZPK50AZYBkWyt0OA8jffPHC1ieofN760VDKyzZIDB8TNLfndPhJ7NTC722XOYzzS5pkfw01oTwMyZ/5rHSpGyT5nNxwcMnlMWdMbnCl/n7OmXhTUpuXXdtPbg7PhZU2f8WJHeF3XOZsDa82ccW0Y5oJrneH6nDX/7Str2ttE9Y8bX9asmeuMDJZi7h1ucFYU1KoKp+LPWT870MYj5DhcL04T9icR3PS8PTbDNiVcjJIFATcanNRpaMS/Y7Q7UW+4uR9ocmxru+ltXJnoDgGqWs+zKJUDds7XHZcmm+sJzlKz0uhKk5cPLyHEuYuJyy9MFWX4N4ahpOyYNYqbbZbjjTnGhlnWBHgBhPWzAzZnc82PwSa0x3jOGSdLCsBptKyj3XSviMfqQ356BICTtrctmq7v9JcW+DvdsbEdsBguiW1dGnddu0jSsnqNXI3PAYVzsrJzNgcuTTbXs/ykV9Y0bwLl/e16sFdlwc7uNJuc8TwbrWMKGI/6/yGQc5gTXA8LsM6c04j7u2KatA7F4PZNp1P0POBWFjYhWdsB916qWH6VWRF2DEVIu2hy07EMR+0luV/tYriyHYlt13W1P0apqKLUmis7Z3NgtSa0iZU15QZRv8e53Jt20+UJIJp5NH1Zk2s/M2SzyC1rAjy7B99nh2bOJjWhLahtwRSD40lEzwNulnRbFwFiFL8l1dpwfX7JDGCVNSvzjtb1ndzdos9yYwrI37MmTyrA7qAuM5WhKqrL9k0etWYZv7u/7hjK51kKXI+suSDvLV0Vzg2QugwUo6wZakIbRaLnjid+s8hVawIKBy7iYc8xWbVhtg4BRTG4Q0DsPJDnllVS57Zv2h9XZffEQX56BIDTlzG4fVOAIGCJMtCqy5oWtWZUSSTg4Zx9ztwYwudZCqmWNXW7GG6AtGmJ9T6Ol9mSxoQhdgbssuaAzWJM5iyOPxdPa7hUik5Z1qSBHQLiy5pszlmIx56nZdkacb1+zcTg7EqbdigBjc8P/mBhCAl2KLg77NSwrUvctjQ+jyuJqJkzXnC2JsL7nBjC51kKF4KABMqaNvoEtwF0SOaM33x6ePsmX1lqWFlTZs78168eEJx1dh/xGcTYY/OPM7RDQHxZk1tZ2DpalOlonqPrWU84yMFZADi7UiLCpgqplXMEAcsFSEtm7YZgW5mJzJwysgmbC7Wer6yZ1ZoulCvk5KVa1tQzC1yrGG6QE8c5m6GsGROcne+3kpHxKQfM4SFq7XJGztnQ3pqx84DLyQ2zcYnbdKeM/PQIAHfxCetHd/JmWDYL8r7kTnaVnDOjQecxijQqrzkRv/H5derzNibqFXLy1HuGw1maGtuBgoB2XjNI2aF2BqFiG4CfOdsM2CzKc8Lx56oHzGGuZ5vrs3VJk7YJq8oCQgCnyACtEQTEzYOusuC51pYNtgmxdJWUcb1+zcTg70r5tfIdI1iQx1viYd8thusKNKxqzYM/GDah9UjiyPCzz5kTrRJuRfeUasicQm/NjS1zduCp1riZs42jTZSOq0M8KZvLORuyWZSf5Vy/MbJfMZvAueaGPM4+srS5Pw7oEMAs+4Z47F0djqtaTzjIT48AcL1UghROrPZNPPLuFBjiyL0k5MQW4nJnGEsc7UoiAR5J12yxGAtrDV5DAvSpMTRzJv/O3RiastA6dgN68PLLmvGbRbkp4/mcDSf1D/vstHNDHifWiPY4oKzJFUzYFPcm+PrJrhHX69dMDK6XCtfZ+HgS2B8Fnx+ywMN+iOnjktjWBU4CPaPFXSQ3oS4bCwhf6yZgmFrrJqAtYa3s/LRqv4QFASHZffV7vMdhrGdDeD9cjtew9k0yuPbP4SFehUMEQV15d9q5IYPPWCPa/YCyZs0MQEPEKLFc4pSxrifuwpAlSJ9HFresyd/lLhcgrdlKAzA9vOK4CUSEbV16WzcB680MzYU1WmkAYQ/3qSE3iL0OAe0GkpuN5609Uwdns3QICAiuB5U1B3Aq55obwzNnpwGZs5D2TfzMWS5r3mBwyeQbZq28U39OJx8fipbvtrLgbGPZ8XPKyDZs65K3616hVcScqAqK6tKwNBrz4jQ4Z0VBuGVQhXOpF509D2/t4W0240nZbVDCbGU3dYeAekB2tx6SdZtp7ZDH4XAJTRjDhJbH3Q6x0ljXeuLD9fo1E4ObOm04ZxwC7bieRFOg3WGv0EoDMJt0xpaHt1WRBQEjoCwoqkvD0miC83TGbLKLCS5rMs1qWZvNARsf7pwZslnctoIADjVhDCuNeflqMceJtdM4jNC+yZvdrQPEKNlK42aDu/hsmT5nfNn7goKAtZc1ew+v+B3Wti5ZC5LkYly3NPtYqMtilYHrti6SKGlKmHyguHY/bJ8zS5soE4ZsfLgZoyG+i0FWGmURnd0dYhVD1FhoTF/WbL4/toXT4RjfIYB/rflilCwICAAR3U9ETxDRw5a/ExH9TSJ6PxG9h4g+T/nbK4jokfPfXjfVGEPBvQG4EuBQw8glHvZr7hAAmE06Y3/Lhpk5ye2b3GgePus7N8llzgyq8Kv9kdWDl6sADy1rxvohcr2vhgkC+IrrIdndIZkz9dhToi1rRlppjGJCy773OM/S07VTx5NuNTDaFxN9CYCPAfhHQojPMfz9qwD8WQBfBeDzAXyPEOLziagE8AsAfjuARwH8NIDXCCF+1nfM++67Tzz44IMj/ooODzz0GL75R96D3eGE59xzB77xKz8Lv/tzn2N837e89b34xO1j+z4AeOM7HsHjTz2Nz1Be+0v/8mfxfz92G5981y1821e/2Ph9AHD/f/ogvuvHm5/vOvbYeOChx/Adb3sfnnp67x1javgrb/95/J3/8D8BdOdMCIGv/6GfuXiN+3seeOgxfOMP/wz2R+G9/t/2Yw/jo1cHfOqzNnj9K3/jas7ZHHjgocfwTT/8Htw+uudRanjgocfwuh95D64883/O8XzDP/8ZHE7iYp351gfei4/vjt579Nt/7GF85OqAe5+xwbf+Dvs9+j3/+hfw1//1LwKAdz3TxxMyt+S4P/3uLb75Fb/BOu7v/Bfvw699Yo9PuusWvj1wPXrgocfwdf/s3Re/xXac2Gv9wEOP4bv+xc/iQ5/wr+u2z3/9P3s3hGeMQ6CO8VOeucG3fFVz/R946DHjdTW99ud/6N04ibh1VD4fP+PuLb7Jca3ls0ddR01jHLKupwAiepcQ4r7e61MFZ+eDvgDAj1uCs78L4N8LId5y/vcjAF4O4AUAvkMI8ZXn118PAEKI7/Ydb6rg7IGHHsPrf/S9eFqJ4O+oS3z37/1NFzeB6X0VASBAzcyaXjN9n/xOuVD43jsmuL85RagBgETIOTd9X+z1X8s5mwNrPT+pjZu7zgy9R9UNqes4a5hbcxxnrjEOgekYm6rAKz/n0/D2h/93stc6ZIxrWFNU2IKzJYu0zwHwK8q/Hz2/Znt9MbzxHY9c3CgA8PT+iDe+4xHv+w7i8saxvWb6Pvmdes3d9t4xwf3NKeKN73jkIjADws656ftir/9aztkcWOv5SW3c3HVm6D36xnc8cvEgtB1nDXNrjuPMNcYhMB1jdzjhgXc/nvS1DhnjGtYUDpYMzkwFa+F43fwlRK8logeJ6MEnn3xytMGpePypp1mv29435DjcY4+NpY47BkLGyHnv0Ou/hnM2B9Z6flIb95D7O+S3TLGecd8z9tya4zhzjXEIprpn57jWY48ndSwZnD0K4HnKv58L4HHH60YIId4khLhPCHHfvffeO8lAP+OeO1iv29435DjcY4+NpY47BkLGyHnv0Ou/hnM2B9Z6flIb95D7O+S3TLGecd8z9tya4zhzjXEIbN9VDrS1meNah4wx9TWFgyWDs7cB+KNn1eYXAPiwEOJX0QgAXkRELySiWwBefX7vYvjGr/ws3KEpb+6oy5Yc6XpfXVBPum16zfR9IcceG0sddwxwrwP39wy5/ms5Z3NgrecntXEPub9DfssU6xnnGFPMrTmOM9cYh8B2jNd8/vOSv9bcMa5hTeGgmuqLiegtaAj+zyaiRwG8AUANAEKI7wfwE2iUmu8H8AkAf/z8twMR/RkA7wBQArhfCPG+qcbJgSQW6ioRnXBoex/3NROBkXvssbHUccdAyHXg/J6h138N52wOrPX8pDbuIfd3yG+ZYj3jHmPsuTXHceYa4xC4jnHfZ35S8teaO8bU1xQOJlVrzo0prTQyMjIyMjIyMsZEimrNjIyMjIyMjIwMDTk4y8jIyMjIyMhICDk4y8jIyMjIyMhICDk4y8jIyMjIyMhICDk4y8jIyMjIyMhICDk4y8jIyMjIyMhICDk4y8jIyMjIyMhICDk4y8jIyMjIyMhICDk4y8jIyMjIyMhICDk4y8jIyMjIyMhICDk4y8jIyMjIyMhICNeqtyYRPQngf018mGcD+L8THyMjHPm6pIt8bdJEvi7pIl+bNDHFdflMIcS9+ovXKjibA0T0oKlJacayyNclXeRrkybydUkX+dqkiTmvSy5rZmRkZGRkZGQkhBycZWRkZGRkZGQkhBycheNNSw8gw4h8XdJFvjZpIl+XdJGvTZqY7bpkzllGRkZGRkZGRkLImbOMjIyMjIyMjISQgzMmiOgVRPQIEb2fiF639HhuMojoeUT074jo54jofUT0tefXP4mI/hUR/eL5/3/d0mO9iSCikogeIqIfP/87X5cEQET3ENEPE9HPn+fOF+ZrszyI6OvP69jDRPQWItrm67IMiOh+InqCiB5WXrNeCyJ6/TkmeISIvnLMseTgjAEiKgF8H4BXAngxgNcQ0YuXHdWNxgHAXxBC/EYAXwDgT5+vx+sA/BshxIsA/JvzvzPmx9cC+Dnl3/m6pIHvAfCTQojfAOAlaK5RvjYLgoieA+DPAbhPCPE5AEoAr0a+LkvhzQBeob1mvBbnZ86rAXz2+TN/+xwrjIIcnPHwMgDvF0J8QAhxG8APAnjVwmO6sRBC/KoQ4n+c//ujaB4yz0FzTf7h+W3/EMDvXmaENxdE9FwAvwPADygv5+uyMIjoWQC+BMDfBwAhxG0hxFPI1yYFVADuIKIKwJ0AHke+LotACPFTAD6kvWy7Fq8C8INCiJ0Q4oMA3o8mVhgFOTjj4TkAfkX596Pn1zIWBhG9AMDnAvhvAD5VCPGrQBPAAfiU5UZ2Y/E3AHwTgJPyWr4uy+PXA3gSwD84l5x/gIjuQr42i0II8RiAvwrglwH8KoAPCyHeiXxdUoLtWkwaF+TgjAcyvJZlrguDiJ4B4EcAfJ0Q4iNLj+emg4i+GsATQoh3LT2WjB4qAJ8H4O8IIT4XwMeRS2WL48xfehWAFwL4DAB3EdEfXnZUGUxMGhfk4IyHRwE8T/n3c9GknjMWAhHVaAKzfyKE+NHzy/+HiD79/PdPB/DEUuO7ofgiAL+LiH4JTen/txLRP0a+LingUQCPCiH+2/nfP4wmWMvXZln8NgAfFEI8KYTYA/hRAL8F+bqkBNu1mDQuyMEZDz8N4EVE9EIiuoWGBPi2hcd0Y0FEhIY783NCiL+m/OltAP7Y+b//GIAfm3tsNxlCiNcLIZ4rhHgBmjnyb4UQfxj5uiwOIcT/BvArRPRZ55e+HMDPIl+bpfHLAL6AiO48r2tfjoZDm69LOrBdi7cBeDURbYjohQBeBOC/j3XQbELLBBF9FRo+TQngfiHEX154SDcWRPTFAP4jgPei4zZ9Cxre2Q8BeD6aRe8PCCF0cmfGDCCilwP4BiHEVxPRJyNfl8VBRC9FI9S4BeADAP44mg16vjYLgoi+E8AfRKNCfwjA1wB4BvJ1mR1E9BYALwfwbAD/B8AbADwAy7Ugom8F8CfQXLuvE0K8fbSx5OAsIyMjIyMjIyMd5LJmRkZGRkZGRkZCyMFZRkZGRkZGRkZCyMFZRkZGRkZGRkZCyMFZRkZGRkZGRkZCyMFZRkZGRkZGRkZCyMFZRkZGRkZGRkZCyMFZRkZGRkZGRkZCyMFZRkZGhgFE9AIi+jki+ntE9D4ieicR3bH0uDIyMq4/cnCWkZGRYceLAHyfEOKzATwF4PctPJ6MjIwbgBycZWRkZNjxQSHEu8///S4AL1hwLBkZGTcEOTjLyMjIsGOn/PcRQLXUQDIyMm4OcnCWkZGRkZGRkZEQcnCWkZGRkZGRkZEQSAix9BgyMjIyMjIyMjLOyJmzjIyMjIyMjIyEkIOzjIyMjIyMjIyEkIOzjIyMjIyMjIyEkIOzjIyMjIyMjIyEkIOzjIyMjIyMjIyEkIOzjIyMjIyMjIyEkIOzjIyMjIyMjIyEkIOzjIyMjIyMjIwmxfA2AAAACElEQVSE8P8B3g7AdaNj318AAAAASUVORK5CYII=", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "states=[0,1,2] # 状态空间,讲义中为1、2、3,这里方便起见记为0、1、2,最后画图的时候+1即可。\n", + "current_state=0 # 从0出发\n", + "Path=[0] # 初始化路径\n", + "Q=np.array([[0.3,0.4,0.3],[0.3,0.1,0.6],[0.3,0.2,0.5]])\n", + "print(\"转移矩阵:\\n\",Q)\n", + "## 定义转移函数\n", + "def trans(x,Q):\n", + " prob=Q[x] #提取出Q矩阵的第x行,比如第0行为[0.3,0.4,0.3]\n", + " cum_prob=np.add.accumulate(prob) #将prob累加,比如第0行累加后得到[0.3,0.7,1.0]\n", + " u=nprd.random() #产生一个(0,1)上的均匀分布随机数\n", + " s=0\n", + " while u>=cum_prob[s]:\n", + " s+=1\n", + " return s\n", + "\n", + "N=99 # 时间长度\n", + "for i in range(N):\n", + " current_state=trans(current_state, Q)\n", + " Path.append(current_state)\n", + "print(\"路径:\",Path)\n", + "\n", + "## 画图\n", + "## 导入matplotlib\n", + "import matplotlib.pyplot as plt \n", + "## 使图形直接插入到jupyter中\n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (10.0, 6.0)\n", + "fig=plt.figure()\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path)+1) ##画出路径点,\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path)+1) ##画出路径线\n", + "plt.xlabel('n')\n", + "plt.ylabel(\"State\")\n", + "plt.title('A simple Markov chain')\n", + "plt.show() ## 画图\n", + "fig.savefig(\"simple_markov.pdf\") ## 保存文件" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 随机游走的模拟\n", + "\n", + "接下来我们模拟随机游走,即转移概率为:$$P\\left(X_{n}=i+1|X_{n-1}=i\\right)=0.5$$ $$P\\left(X_{n}=i-1|X_{n-1}=i\\right)=0.5$$" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "def random_walk(N):\n", + " current_state=0 # 从0出发\n", + " Path=[0] # 初始化路径\n", + " ## 定义转移函数\n", + " def trans(x):\n", + " u=nprd.random() #产生一个(0,1)上的均匀分布随机数\n", + " if u<0.5:\n", + " return x+1\n", + " else:\n", + " return x-1\n", + "\n", + " for i in range(N):\n", + " current_state=trans(current_state)\n", + " Path.append(current_state)\n", + " return Path\n", + "\n", + "N=150\n", + "Path1=random_walk(N)\n", + "Path2=random_walk(N)\n", + "Path3=random_walk(N)\n", + "Path4=random_walk(N)\n", + "Path5=random_walk(N)\n", + "## 画图\n", + "## 导入matplotlib\n", + "import matplotlib.pyplot as plt \n", + "## 使图形直接插入到jupyter中\n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 10.0)\n", + "fig=plt.figure()\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path1)) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path1)) ##画出路径线\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path2)) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path2)) ##画出路径线\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path3)) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path3)) ##画出路径线\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path4)) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path4)) ##画出路径线\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path5)) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path5)) ##画出路径线\n", + "plt.xlabel('n')\n", + "plt.ylabel(\"State\")\n", + "plt.title('Random Walks')\n", + "plt.show() ## 画图\n", + "fig.savefig(\"markov_random_walk.pdf\") ## 保存文件" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt \n", + "## 使图形直接插入到jupyter中\n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 10.0)\n", + "fig=plt.figure()\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path1)) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path1)) ##画出路径线\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path2),alpha=0.3,s=20) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path2),alpha=0.3,linewidth=1) ##画出路径线\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path3),alpha=0.3,s=20) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path3),alpha=0.3,linewidth=1) ##画出路径线\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path4),alpha=0.3,s=20) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path4),alpha=0.3,linewidth=1) ##画出路径线\n", + "plt.scatter(np.linspace(0,N,N+1),np.array(Path5),alpha=0.3,s=20) ##画出路径点\n", + "plt.plot(np.linspace(0,N,N+1),np.array(Path5),alpha=0.3,linewidth=1) ##画出路径线\n", + "plt.plot(np.array([79.5,79.5]),np.array([-20,30]),color='black',linewidth=0.5)\n", + "plt.plot(np.array([80.5,80.5]),np.array([-20,30]),color='black',linewidth=0.5)\n", + "plt.xlabel('n')\n", + "plt.ylabel(\"State\")\n", + "plt.title('Random Walks')\n", + "plt.show() ## 画图\n", + "fig.savefig(\"stochastic_path.pdf\") ## 保存文件" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "而对于一个二维的随机游走:$$q_{\\left(i,j\\right),\\left(i,j+1\\right)}=q_{\\left(i,j\\right),\\left(i,j-1\\right)}=q_{\\left(i,j\\right),\\left(i+1,j\\right)}=q_{\\left(i,j\\right),\\left(i-1,j\\right)}=\\frac{1}{4}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "def random_walk(N):\n", + " current_state_x,current_state_y=0,0 # 从(0,0)出发\n", + " Path_x=[0] # 初始化路径\n", + " Path_y=[0] # 初始化路径\n", + " ## 定义转移函数\n", + " def trans(x,y):\n", + " u=nprd.random() #产生一个(0,1)上的均匀分布随机数\n", + " if u<0.25:\n", + " return x+1,y\n", + " elif u<0.5:\n", + " return x-1,y\n", + " elif u<0.75:\n", + " return x,y+1\n", + " else:\n", + " return x,y-1\n", + "\n", + " for i in range(N):\n", + " current_state_x,current_state_y=trans(current_state_x,current_state_y)\n", + " Path_x.append(current_state_x)\n", + " Path_y.append(current_state_y)\n", + " return Path_x,Path_y\n", + "\n", + "N=299\n", + "Path_x1,Path_y1=random_walk(N)\n", + "Path_x2,Path_y2=random_walk(N)\n", + "Path_x3,Path_y3=random_walk(N)\n", + "## 画图\n", + "## 导入matplotlib\n", + "import matplotlib.pyplot as plt \n", + "## 使图形直接插入到jupyter中\n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (10.0, 10.0)\n", + "fig=plt.figure()\n", + "plt.scatter(np.array(Path_x1),np.array(Path_y1)) ##画出路径点\n", + "plt.plot(np.array(Path_x1),np.array(Path_y1)) ##画出路径线\n", + "plt.scatter(np.array(Path_x2),np.array(Path_y2)) ##画出路径点\n", + "plt.plot(np.array(Path_x2),np.array(Path_y2)) ##画出路径线\n", + "plt.scatter(np.array(Path_x3),np.array(Path_y3)) ##画出路径点\n", + "plt.plot(np.array(Path_x3),np.array(Path_y3)) ##画出路径线\n", + "plt.xlabel('x')\n", + "plt.ylabel(\"y\")\n", + "plt.title('2D Random Walks')\n", + "plt.show() ## 画图\n", + "fig.savefig(\"markov_random_walk2d.pdf\") ## 保存文件" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 马尔可夫链的大数定律\n", + "\n", + "在马尔可夫链的大数定律中,有两个重要结论,其中第一个结论是:$$L_{n}\\left(j\\right)\\overset{\\textrm{a.s.}}{\\rightarrow}\\frac{V_{ij}}{\\mathbb{E}\\left(T_{i}|X_{0}=i\\right)}$$ 其中$L_{n}\\left(j\\right)$即马尔可夫链经过$n$步之后经过状态$j$的比例;$\\mathbb{E}\\left(T_{i}|X_{0}=i\\right)$为从状态$i$出发第一次回到状态$i$的平均时间长度;$V_{ij}$为从状态$i$出发第一次回到状态$i$这段时间经过状态$i$的平均次数。\n", + "\n", + "而第二个结论是,对于常返的状态$i$,有:$$L_{n}\\left(i\\right)\\overset{\\textrm{a.s.}}{\\rightarrow}\\frac{1}{\\mathbb{E}\\left(T_{i}|X_{0}=i\\right)}$$\n", + "\n", + "我们使用3个食堂的例子,验证以上结论。实际上,我们在讲义中已经计算出,$\\mathbb{E}\\left(T_{1}|X_{0}=1\\right)=\\frac{10}{3}$,我们下面将使用以下结论。" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5000步以内共有1486个状态1,占比0.2972\n", + "---------切割的eta-------------\n", + "[1, 3, 3, 3, 3, 2, 2, 3]\n", + "[1, 3, 3, 3, 3]\n", + "[1]\n", + "[1]\n", + "[1, 3]\n", + "[1, 3]\n", + "[1, 2, 2, 3]\n", + "[1, 3, 2, 3]\n", + "[1]\n", + "[1]\n", + "[1, 3]\n", + "[1, 2]\n", + "[1, 3, 3, 3]\n", + "[1]\n", + "[1, 2, 3]\n", + "[1, 3]\n", + "[1, 2, 3, 3, 3]\n", + "[1]\n", + "[1, 3, 2, 3]\n", + "......\n", + "从状态1返回状态1的平均时间长度为3.366329966329966,倒数为0.2970594118823765\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "Q=np.array([[0.3,0.4,0.3],[0.3,0.1,0.6],[0.3,0.2,0.5]])\n", + "\n", + "def get_path(N):\n", + " states=[0,1,2] # 状态空间,讲义中为1、2、3,这里方便起见记为0、1、2,最后画图的时候+1即可。\n", + " current_state=0 # 从0出发\n", + " Path=[0] # 初始化路径\n", + " ## 定义转移函数\n", + " def trans(x,Q):\n", + " prob=Q[x] #提取出Q矩阵的第x行,比如第0行为[0.3,0.4,0.3]\n", + " cum_prob=np.add.accumulate(prob) #将prob累加,比如第0行累加后得到[0.3,0.7,1.0]\n", + " u=nprd.random() #产生一个(0,1)上的均匀分布随机数\n", + " s=0\n", + " while u>=cum_prob[s]:\n", + " s+=1\n", + " return s\n", + "\n", + " for i in range(N-1):\n", + " current_state=trans(current_state, Q)\n", + " Path.append(current_state)\n", + " return [i+1 for i in Path]\n", + "\n", + "N=5000\n", + "Path=get_path(N) ## 产生路径\n", + "## 计算L_n(1),即5000步以内在状态1的比率\n", + "Nn1=sum([i==1 for i in Path])\n", + "Ln1=Nn1/len(Path)\n", + "print(\"%s步以内共有%s个状态1,占比%s\" % (N,Nn1,Ln1))\n", + "## 将马尔可夫链按照状态1进行分割\n", + "Eta=[]\n", + "eta=None #初始化\n", + "# 切割:\n", + "for s in Path:\n", + " if s==1:\n", + " Eta.append(eta)\n", + " eta=[1]\n", + " else:\n", + " eta.append(s)\n", + "del Eta[0]\n", + "lines=1 #仅仅是计数\n", + "print(\"---------切割的eta-------------\")\n", + "for eta in Eta:\n", + " lines+=1\n", + " if lines<=20: ## 只打印前20个。\n", + " print(eta)\n", + " else:\n", + " print(\"......\")\n", + " break\n", + " \n", + "## 计算每个eta的长度\n", + "ET1=sum([len(eta) for eta in Eta])/len(Eta)\n", + "print(\"从状态1返回状态1的平均时间长度为%s,倒数为%s\"%(ET1,1/ET1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 马尔可夫链的平稳分布\n", + "\n", + "### 平稳分布的含义\n", + "\n", + "平稳分布即当马尔可夫链运行了足够长的时间后,$X_n$的分布是否会达到一个不变的分布。在此我们用以下模拟来说明这个定义:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1000条马尔可夫链路径的第300个状态:\n", + "[3, 3, 1, 1, 1, 3, 1, 3, 1, 3, 1, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 3, 1, 2, 1, 3, 1, 1, 3, 2, 2, 3, 3, 3, 3, 1, 2, 1, 1, 3, 3, 1, 3, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 1, 3, 2, 3, 2, 1, 3, 3, 1, 3, 1, 3, 1, 3, 3, 3, 1, 1, 3, 3, 2, 2, 3, 1, 1, 1, 1, 1, 3, 1, 2, 1, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 3, 3, 1, 1, 1, 3, 2, 2, 3, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 1, 3, 3, 2, 3, 3, 1, 3, 3, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 1, 3, 1, 3, 3, 2, 3, 3, 2, 2, 1, 3, 3, 3, 2, 3, 3, 3, 1, 3, 1, 3, 1, 2, 2, 3, 3, 3, 2, 1, 3, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 1, 3, 2, 2, 1, 2, 3, 3, 3, 1, 3, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 3, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 1, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 3, 2, 2, 1, 1, 3, 1, 2, 3, 3, 1, 3, 1, 3, 3, 3, 1, 3, 2, 1, 1, 3, 3, 3, 2, 2, 3, 3, 3, 3, 1, 1, 2, 2, 1, 3, 3, 3, 3, 1, 2, 1, 2, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 2, 3, 3, 2, 3, 3, 3, 1, 3, 1, 3, 3, 1, 3, 1, 3, 3, 3, 3, 3, 1, 1, 2, 3, 1, 3, 2, 3, 1, 3, 1, 1, 3, 3, 1, 3, 1, 3, 2, 3, 3, 3, 2, 1, 3, 1, 2, 2, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 3, 1, 1, 3, 3, 3, 3, 3, 2, 1, 3, 3, 1, 3, 3, 3, 2, 2, 3, 1, 3, 3, 1, 2, 1, 2, 1, 3, 3, 2, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 1, 2, 3, 1, 3, 1, 3, 3, 3, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 1, 3, 2, 2, 1, 3, 3, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 1, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 2, 3, 3, 3, 1, 1, 1, 1, 3, 2, 3, 2, 1, 3, 3, 1, 3, 1, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 3, 3, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 3, 1, 1, 3, 3, 2, 3, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 2, 1, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3, 2, 1, 3, 2, 1, 1, 3, 3, 1, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 2, 3, 1, 1, 3, 3, 2, 3, 3, 1, 3, 3, 2, 3, 3, 1, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 1, 2, 3, 1, 3, 1, 1, 3, 3, 2, 1, 2, 1, 3, 2, 1, 2, 1, 3, 1, 3, 2, 1, 3, 2, 2, 3, 3, 3, 2, 1, 1, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 3, 1, 1, 1, 2, 3, 1, 1, 2, 2, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 2, 1, 1, 2, 2, 2, 2, 1, 3, 2, 1, 1, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 3, 3, 3, 1, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 1, 2, 3, 3, 2, 1, 1, 2, 2, 3, 3, 1, 1, 1, 2, 1, 3, 3, 2, 3, 2, 2, 3, 2, 3, 3, 1, 3, 3, 2, 2, 2, 1, 3, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 1, 3, 1, 3, 2, 3, 3, 3, 3, 1, 3, 2, 2, 3, 1, 3, 1, 3, 1, 3, 2, 3, 3, 3, 3, 2, 2, 3, 2, 3, 3, 1, 2, 2, 1, 1, 2, 3, 1, 1, 3, 3, 2, 1, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 3, 3, 3, 3, 2, 1, 2, 1, 1, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 1, 2, 3, 1, 2, 1, 2, 2, 2, 1, 3, 3, 3, 3, 2, 1, 2, 2, 3, 1, 3, 3, 3, 1, 1, 3, 2, 3, 1, 3, 3, 1, 1, 1, 3, 3, 2, 2, 2, 3, 3, 1, 1, 3, 1, 3, 1, 3, 3, 3, 1, 2, 2, 3, 2, 3, 3, 3, 3, 2, 3, 3, 1, 3, 3, 1, 2, 3, 2, 2, 1, 3, 3, 2, 1, 1, 3, 3, 1, 2, 1, 3, 2, 3, 3, 1, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 1, 3, 3, 1, 1, 3, 1, 2, 3, 1, 3, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2]\n", + "-------------\n", + "第300个状态的分布为:[0.284,0.253,0.463]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "Q=np.array([[0.3,0.4,0.3],[0.3,0.1,0.6],[0.3,0.2,0.5]])\n", + "\n", + "def get_path(N):\n", + " states=[0,1,2] # 状态空间,讲义中为1、2、3,这里方便起见记为0、1、2,最后画图的时候+1即可。\n", + " current_state=0 # 从0出发\n", + " Path=[0] # 初始化路径\n", + " ## 定义转移函数\n", + " def trans(x,Q):\n", + " prob=Q[x] #提取出Q矩阵的第x行,比如第0行为[0.3,0.4,0.3]\n", + " cum_prob=np.add.accumulate(prob) #将prob累加,比如第0行累加后得到[0.3,0.7,1.0]\n", + " u=nprd.random() #产生一个(0,1)上的均匀分布随机数\n", + " s=0\n", + " while u>=cum_prob[s]:\n", + " s+=1\n", + " return s\n", + "\n", + " for i in range(N-1):\n", + " current_state=trans(current_state, Q)\n", + " Path.append(current_state)\n", + " return [i+1 for i in Path]\n", + "\n", + "M=1000 ##产生1000条马尔可夫链\n", + "N=400 ##每条马尔可夫链的长度\n", + "Xfinal=[]\n", + "for i in range(M):\n", + " path=get_path(N) ##获取路径\n", + " x=path[300] ##每条马尔可夫链第300个状态\n", + " Xfinal.append(x)\n", + "print(\"%s条马尔可夫链路径的第300个状态:\" % M)\n", + "print(Xfinal)\n", + "## 计算每个状态的分布\n", + "print(\"-------------\")\n", + "p1=sum([i==1 for i in Xfinal])/len(Xfinal)\n", + "p2=sum([i==2 for i in Xfinal])/len(Xfinal)\n", + "p3=sum([i==3 for i in Xfinal])/len(Xfinal)\n", + "print(\"第300个状态的分布为:[%s,%s,%s]\" % (p1,p2,p3))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 平稳分布的计算\n", + "\n", + "根据理论,马尔可夫链的平稳分布应该满足:$$\\pi Q=\\pi$$对于遍历的马尔可夫链,为了计算平稳分布,可以通过:$$Q'\\pi'=\\pi'$$即计算$Q'$的特征向量实现:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Q的转置:\n", + " [[0.3 0.3 0.3]\n", + " [0.4 0.1 0.2]\n", + " [0.3 0.6 0.5]]\n", + "特征值: [ 1.00000000e+00 -2.10335221e-17 -1.00000000e-01]\n", + "特征向量:\n", + " [[ 0.49942707 0.26726124 0. ]\n", + " [ 0.39348799 0.53452248 -0.70710678]\n", + " [ 0.77184183 -0.80178373 0.70710678]]\n", + "平稳分布: [0.3 0.23636364 0.46363636]\n", + "-------------\n", + "Q的2次方:\n", + " [[0.3 0.22 0.48]\n", + " [0.3 0.25 0.45]\n", + " [0.3 0.24 0.46]]\n", + "Q的4次方:\n", + " [[0.3 0.2362 0.4638]\n", + " [0.3 0.2365 0.4635]\n", + " [0.3 0.2364 0.4636]]\n", + "Q的8次方:\n", + " [[0.3 0.23636362 0.46363638]\n", + " [0.3 0.23636365 0.46363635]\n", + " [0.3 0.23636364 0.46363636]]\n", + "Q的16次方:\n", + " [[0.3 0.23636364 0.46363636]\n", + " [0.3 0.23636364 0.46363636]\n", + " [0.3 0.23636364 0.46363636]]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "Q=np.array([[0.3,0.4,0.3],[0.3,0.1,0.6],[0.3,0.2,0.5]])\n", + "Qt=np.transpose(Q)\n", + "print(\"Q的转置:\\n\",Qt)\n", + "eig_value,eig_vector=np.linalg.eig(Qt)\n", + "print(\"特征值:\",eig_value)\n", + "print(\"特征向量:\\n\",eig_vector)\n", + "pi=eig_vector[:,0] ##取出第一列\n", + "pi=pi/sum(pi) ##标准化为概率分布\n", + "print(\"平稳分布:\",pi)\n", + "print(\"-------------\")\n", + "Q2=np.dot(Q,Q)\n", + "print(\"Q的2次方:\\n\",Q2)\n", + "Q4=np.dot(Q2,Q2)\n", + "print(\"Q的4次方:\\n\",Q4)\n", + "Q8=np.dot(Q4,Q4)\n", + "print(\"Q的8次方:\\n\",Q8)\n", + "Q16=np.dot(Q8,Q8)\n", + "print(\"Q的16次方:\\n\",Q16)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.8.10 64-bit", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + }, + "vscode": { + "interpreter": { + "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/notebook_python/LLN_CLT.ipynb b/notebook_python/LLN_CLT.ipynb index 56cb6b4..aa682c0 100644 --- a/notebook_python/LLN_CLT.ipynb +++ b/notebook_python/LLN_CLT.ipynb @@ -15,12 +15,14 @@ "outputs": [ { "data": { - "image/png": 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974oV7fOfmhoE9Yk2/8z7W71q9vOYCS/r1ibP7m/v6ehke/yhw+01Vk20XpHV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\nAKAT/z+MvTQkl7Ol0gAAAABJRU5ErkJggg==\n", 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", "text/plain": [ - "" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -28,37 +30,38 @@ "import numpy as np\n", "from numpy import random as nprd\n", "\n", - "True_P=0.5\n", + "True_P = 0.5\n", + "\n", "\n", "def sampling(N):\n", " ## 产生Bernouli样本\n", - " x=nprd.rand(N)" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" }, { "data": { - "image/png": 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PvPZ+Nm1sPCutWNm06k2o2wYadY39tdMr+jMEv5gGJw7G/voqZfV+4GU4sI0/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VjxfmyfoV1bYrvKt3w0vi/XZpfDmaP1nVaFrnNig+QFo2DVh9D8EajbAXy2cTDEJqoHiJDl/5wH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\nAAAAAElFTkSuQmCC\n", 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", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -99,72 +106,200 @@ "import numpy as np\n", "from numpy import random as nprd\n", "\n", + "\n", "def sampling(N):\n", " ## 产生一组样本,以0.5的概率为z+3,0.5的概率为z-3,其中z~N(0,1)\n", - " d=nprd.rand(N)<0.5\n", - " z=nprd.randn(N)\n", - " x=np.array([z[i]+3 if d[i] else z[i]-3 for i in range(N)])\n", + " d = nprd.rand(N) < 0.5\n", + " z = nprd.randn(N)\n", + " x = np.array([z[i] + 3 if d[i] else z[i] - 3 for i in range(N)])\n", " return x\n", "\n", - "N=[2,3,4,10,100,1000] # sample size\n", - "M=2000\n", - "MEANS=[]\n", + "\n", + "N = [2, 3, 4, 10, 100, 1000] # sample size\n", + "M = 2000\n", + "MEANS = []\n", "for n in N:\n", - " mean_x=np.zeros(M)\n", + " mean_x = np.zeros(M)\n", " for i in range(M):\n", - " x=sampling(n)\n", - " mean_x[i]=np.mean(x)/np.sqrt(10/n) ## 标准化,因为var(x)=10\n", + " x = sampling(n)\n", + " mean_x[i] = np.mean(x) / np.sqrt(10 / n) ## 标准化,因为var(x)=10\n", " MEANS.append(mean_x)\n", "\n", "## 导入matplotlib\n", "import matplotlib.pyplot as plt\n", - "import matplotlib.mlab as mlab\n", - "## 使图形直接插入到jupyter中\n", - "%matplotlib inline\n", + "\n", "# 设定图像大小\n", "plt.rcParams['figure.figsize'] = (10.0, 8.0)\n", "\n", - "x=sampling(1000)\n", + "x = sampling(1000)\n", "plt.xlabel('x')\n", "plt.ylabel('Density')\n", "plt.title('Histogram of Mixed Normal')\n", - "plt.hist(x,bins=30,normed=1) ## histgram\n", - "plt.show() ## 画图\n", + "plt.hist(x, bins=30, density=True) ## histgram\n", + "plt.savefig(\"simulate_CLT_mix.pdf\")\n", + "plt.show() \n", "\n", "## 均值\n", - "ax1 = plt.subplot(2,3,1)\n", - "ax2 = plt.subplot(2,3,2)\n", - "ax3 = plt.subplot(2,3,3)\n", - "ax4 = plt.subplot(2,3,4)\n", - "ax5 = plt.subplot(2,3,5)\n", - "ax6 = plt.subplot(2,3,6)\n", + "ax1 = plt.subplot(2, 3, 1)\n", + "ax2 = plt.subplot(2, 3, 2)\n", + "ax3 = plt.subplot(2, 3, 3)\n", + "ax4 = plt.subplot(2, 3, 4)\n", + "ax5 = plt.subplot(2, 3, 5)\n", + "ax6 = plt.subplot(2, 3, 6)\n", "\n", "## normal density\n", - "x=np.linspace(-3,3,100)\n", - "d=[1.0/np.sqrt(2*np.pi)*np.exp(-i**2/2) for i in x]\n", + "x = np.linspace(-3, 3, 100)\n", + "d = [1.0 / np.sqrt(2 * np.pi) * np.exp(-i**2 / 2) for i in x]\n", "\n", - "def plot_density(ax,data,N):\n", - " ax.hist(data,bins=30,normed=1) ## histgram\n", - " ax.plot(x,d)\n", + "\n", + "def plot_density(ax, data, N):\n", + " ax.hist(data, bins=30, density=True) ## histgram\n", + " ax.plot(x, d)\n", " ax.set_title(r'Histogram of $\\bar{x}$:N=%d' % N)\n", "\n", - "plot_density(ax1,MEANS[0],N[0])\n", - "plot_density(ax2,MEANS[1],N[1])\n", - "plot_density(ax3,MEANS[2],N[2])\n", - "plot_density(ax4,MEANS[3],N[3])\n", - "plot_density(ax5,MEANS[4],N[4])\n", - "plot_density(ax6,MEANS[5],N[5])\n", "\n", + "plot_density(ax1, MEANS[0], N[0])\n", + "plot_density(ax2, MEANS[1], N[1])\n", + "plot_density(ax3, MEANS[2], N[2])\n", + "plot_density(ax4, MEANS[3], N[3])\n", + "plot_density(ax5, MEANS[4], N[4])\n", + "plot_density(ax6, MEANS[5], N[5])\n", + "plt.savefig(\"simulate_CLT.pdf\")\n", + "plt.show() \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 重对数率\n", "\n", - "plt.show() ## 画图" + "重对数率(law of iterated logarithm)即,对于独立同分布的$Y_1, ... , Y_n$,其中$E\\left(Y_i\\right)=0, V\\left(Y_i\\right)=1$,有:$$\\limsup_{n\\rightarrow \\infty} \\frac{Y_1+...+Y_n}{\\sqrt{n\\ln\\ln n}}=\\sqrt{2}$$" ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_26631/2296696933.py:26: RuntimeWarning: divide by zero encountered in log\n", + " plt.plot(t, [np.sqrt(2 * (n + 1) * np.log(np.log(n + 1))) for n in t],\n", + "/tmp/ipykernel_26631/2296696933.py:26: RuntimeWarning: invalid value encountered in sqrt\n", + " plt.plot(t, [np.sqrt(2 * (n + 1) * np.log(np.log(n + 1))) for n in t],\n", + "/tmp/ipykernel_26631/2296696933.py:28: RuntimeWarning: divide by zero encountered in log\n", + " plt.plot(t, [-np.sqrt(2 * (n + 1) * np.log(np.log(n + 1))) for n in t],\n", + "/tmp/ipykernel_26631/2296696933.py:28: RuntimeWarning: invalid value encountered in sqrt\n", + " plt.plot(t, [-np.sqrt(2 * (n + 1) * np.log(np.log(n + 1))) for n in t],\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "\n", + "def gen_path(T):\n", + " X = []\n", + " x = 0\n", + " for t in range(T):\n", + " x += nprd.normal()\n", + " X.append(x)\n", + " return X\n", + "\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (8.0, 8.0)\n", + "fig = plt.figure()\n", + "N = 50\n", + "T = 20000\n", + "t = list(range(T))\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_path(T)\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n", + "plt.plot(t, [np.sqrt(2 * (n + 1) * np.log(np.log(n + 1))) for n in t],\n", + " color=(0, 0, 0))\n", + "plt.plot(t, [-np.sqrt(2 * (n + 1) * np.log(np.log(n + 1))) for n in t],\n", + " color=(0, 0, 0))\n", + "plt.show() \n", + "fig.savefig(\"law_iterated_log.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_26631/1083810875.py:6: RuntimeWarning: divide by zero encountered in log\n", + " plt.plot(t, [x[n] / np.sqrt((n + 1) * np.log(np.log(n + 1))) for n in t],\n", + "/tmp/ipykernel_26631/1083810875.py:6: RuntimeWarning: invalid value encountered in sqrt\n", + " plt.plot(t, [x[n] / np.sqrt((n + 1) * np.log(np.log(n + 1))) for n in t],\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "t = list(range(T))\n", + "fig1 = plt.figure()\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_path(T)\n", + " plt.plot(t, [x[n] / np.sqrt((n + 1) * np.log(np.log(n + 1))) for n in t],\n", + " color=(0.8, 1 - corlors[i], corlors[i]))\n", + "plt.plot(t, [np.sqrt(2) for n in t], color=(0, 0, 0))\n", + "plt.plot(t, [-np.sqrt(2) for n in t], color=(0, 0, 0))\n", + "plt.show() \n", + "fig1.savefig(\"law_iterated_log2.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Anaconda", "language": "python", - "name": "python3" + "name": "anaconda" }, "language_info": { "codemirror_mode": { @@ -176,7 +311,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.9.12" }, "latex_envs": { "LaTeX_envs_menu_present": true, @@ -194,6 +329,11 @@ "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false + }, + "vscode": { + "interpreter": { + "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1" + } } }, "nbformat": 4, diff --git a/notebook_python/Martingale.ipynb b/notebook_python/Martingale.ipynb new file mode 100644 index 0000000..4247df3 --- /dev/null +++ b/notebook_python/Martingale.ipynb @@ -0,0 +1,551 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 鞅\n", + "\n", + "在下面的代码中,我们将分别模拟抛硬币中的fair game以及unfair game。" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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b4e7s1lybfu0FMR/jeMOgjoiIiIgmHJdqCSMAbP/BH/2//hDV/YGAa+rlp2vaRY8X23/wR3TsORxyjzl14MArUVWjLhA4BidfAQD7vGlRjXM8Cl6K2vTedlT+59WI93h6lN+j4IDbYp84Ae9QMagjIiIioglHL1AaDJfDCcFoQEJBttyWqgq0Kv71ony88Gdfx5zvXBlV+vxZN16KOd9dC1NKItwOJ5o+2IGjT7yh6bPo5zcOa+xjnd7+wvYd5RHvcXcps3Plf3oy6HmJsRnYOMagjoiIiGgCcVbVw+fyDOle0eeTE3bo8Xm8cHUMvNdsLAgEDupMlQGiV78OnHxdFNFdWQdzarJmqWDG0lkhfWd8/SJYM+xInlYQ1bhMSTYkl+TDYk+Gq8OJ6ufela8JRgOSivMn1FLLcKZfez4MqiA4IT8rYv9IexzHe5mHWGCiFCIiIqIJwlFWhcMPPAcAWLFh3aDvr3vtEzS89RkW/fxG3cDi6JNvoK20DMt//90x/0Xa092LjJXzkDqnOOSau7NHTtahp/mDnXBW1sFgtcjBYfqSWTDrLPOzz58+pPGZ7clwtWkD6OW//96QnjUepS+djfSls7Hvd4+gr6kNwgAJTvSCuuX33gZBEOI1xHGFM3VERERE45C7qxul6zeiddt+ua1qk5Ic5NgzW+A4UDmoZza89RkAYM+vH9S93ra9THp3UKKKsUb0iXA5umEJs8ctUhIUAOg8eBQA4HN7IBgNWHTHN1Byzbkw2qwhfQXD0IIKg8kYsRzCZDH3tqtgnz9twGyjwf/N5t9+LQM6FQZ1REREROOIx9mL7uoGNGyR0vVX+bM8Oo/UwqOqrdb80S4cfvC/YTM1Dok/QWH3scbYPTMOPM4ewOeD2T/bOPPGS2DJtMvXG9/Zhs7yo5qMiz63B3Wvfwqfy43uaunnC6TJt6SnwGAyIbEwB7mnr0Te6ccNe4yOA1XycWJRLmZ8/aJhP3M8MtosSCzIgburB6JX/89qX2MbHPuOwJymzK4Otq7dRMegjoiIiGgcKb9vM8o2boJBtVzN3dWN8r88pdu/8d3SqJ7rc7m1527tvry+5g75+MgjL0U73FERmNUJZEW0z5uGRT/9Opb8+hYAQMeewzj092fRvl1JzlHxrxdR//onOHjf03JwnLtmhea5gsGAwgtOQcEFJ8NgNSNp2pQhjzH/7BPk4+yTliBt4YwhP2u8M9uTAVHUJENR23fXIwAAd4eUkbTggpNHbGzjBffUEREREY0T++99DH0NrQCAhrc/l9t3/+KBsPf0NbYN+Fxvvxs7f/wXAEBSST66q+rh7nTiyCMvI23RTOSfdTw8zrG95FItsJQveA+cMcmmOe9vc2DPb/6J3NNWykXBu481yNfzzlwV9h1L77wVwNCX/+WetgK1L30AADAlhC7rnEwC+zfdDics/tk4b78be371IPLOUGZFBaMBy373HWCIS14nMgZ1REREROOA6POht7ZpwH623IyoAjm1/hZlFi5leiG6q+rhKDuKnpom9NQ0wefxouHNrXIfg39Z4ljlChPUCYIAa046+pvaAQDtOw/C1daJ6me2wOgPrKxZaehv6UDeGcdF3LMlGIa34E39bPuCyTtLByj/nVwdTnTs+wgGswl1r34MAKh9+UO539zbroZg5EJDPfxdISIiIhoH3I7oZspMydqaXd6gZZW6z1Yte0sqlopjVz+zRW5TB3SZx80HRFGzH22scbV3AoIAc0po/bI5t14hH6sTlXh7pbp2gQB3JJZDpi2ZhcxVC4acbGWiCAR1/a0ONLz1mRzQBRuo7MFkxqCOiIiIaBzY87//CGkrunSNfFx40WoASlAW0LHrkBywhBMogwAAiUV5EXpKX6x9Ls+wi3vHU+OWbYAo6s6mmVOToyr3oFe+INZmfO0ClKw9O+7vGetMSQkAIC9H1bP83tsmffAbCYM6IiIiojHC1eFEzQvvh80CGMyYYEPJ1edg3vqrkbN6GWbdfBkKzj8ZeWeuwvTrLlQ9twvefjeqn3s3YjBWfOVZsKQlw5KeGrZPINjZ99uHox7nUDR9uBO7f/UgRJ8PDVu2obu6YeCbEH1iGAywfNKckhTdc2jYoilNwPIFkTGoIyIiIhojjj39FhrfLUX77kOadp9LyUSZOrcEs265DPYF05G2cAYyV85HYmEuBIMBqXOKIQgCCs47CemLZ8rZG5s/2YPGLZ+j6YMdqH3pQ3j7XHC1d8Ln8WqWUWadsBAAkLYwfEHtwKyKx9mLrsPVMfm5pTIN2jIJ1c++A7fDie6j9ah96QOUbdwU1bNqXngfAAbce7Xg9mtD2pJnFMrH3Ls1soyJtrDXZn7jkhEcyfjERClEREREY4S3zwUAqHz0FWQsmyO3uzulxB/Fa89G1qoFAIDU2cUDPi/7pMVofLcUzR/ulNuaP96Njr0VcHd2I+v4hUgqzgegDWgQZlbEmp0Oa4Yyixdc9mCodv38bwCAxb+8CeZU7QzZ4YdeGNIzp3/tgojXbTnpWLFhHRre/hy1L3+IBT+6Dt3HGuCsqBnS+2h4pl56Giofe1U+T5qah7m3XTWKIxpfGNQRERERjSDR68P2//kjMlbOw7Srz4Wzqh7lf3oCAGBRBUyi14uqJ99E1gkL0bHrsHR9kPu8zKn6/d2dUmKUlq170bJ1r9SoKlJusCjZLZfc+U24Wh0wp6XAYDbBaLXI1yoeegHzb792wELQDW9/BqPNiuyTlkTst/uXD8C+YLqmELe3uy/iPWqiKAICkFScH3Wik9zTViJ92WxYM+zorW8GAKQtmhn1Oyk21HsYF//qJs2fMxoY55WJiIiIRlCgDlrbtgMAIAd0AOBq65SP99/7GNq2HcChvz2Lpg92AADM9sHt8zKYTbDlZETVd9q158vHeaevhC0vE1MvPx2mBBsSC3NhTk6Uv2jPvFFZDrf/7n+j7rWPIXq9YZ/d8uletJYeiGocjn1H0PT+jtCfJYoyCq72LkAE0pfMjupdACAYBFgz7ACk0gK5a1ag+EtnRn0/xUYgqDMmWGFOSdL8wwINjEEdERER0Qgq//OTmnNbmFmuQJFxtUBh5sFY8KOvRdVPPQtotFmx4PZrw86s2edN05zXv7EVNS/qZy4URREuh1MuCB4ssORUreb590LafP1u+DzhA0cAOPjXzQAAg2Voi9EMJiMKL1oNU3LCkO6noQv8+cs9beUoj2R8YlBHREREFGcdew6jdP1G7PjRnzXtPo8X1kw7bLnhZ9NEfyCTvmwOjDbrsMaRsXKebvuUL35hWM8FoDu7BgDenn6IHi9cjm6IPlHuu/tXDwIADmx4bMBnB8o1BJaNBvM4e1G6fqNUnw6AKSF80g0amwwWE5bfcxvyzjhutIcyLjGoIyIiIoqzmpc/BCBlsVTvHXJ3OuHqcMLiX/4HALNuuUz3GUOZpQtWfMUZusvahvLsOd9dG9USOZejSzrw+XD4wedQ88L7qP7vu3A7nPD29cvFvnNWL0P+2SfoPsOWK81mugPPChKcOTNt8axofwwaQwSDwNIFQ8SgjoiIiCjO1PXc3A4njEnSTFJ/qwNuRxcsqr1yySVTMOvm0MBusElS1KZ88QtIKsmHwWLGvPVXAwAyls+Vrw9luWFyST7yzzpe0xaYiVNTL7vsLD+qqSPnaleCtOyTliJpaq58nrN6GfLOXIWUmUXyz+4Ks4TT53LLx6lzS1ikmiYdZr8kIiIiiiOfxwtXq0PTJvgLXx+6/xkAUpIIc1oy3B1OGCxmpM4pxooN61D1xBto/Wyf1Cd16MWw8886Xg7AbDkZWLFhnfzMxndLh1xo25opzTDa8jLR19AKT3cvzCmJmj7h9tIBwP7fPyofW+xJ8PUrhdFtOenI/oK0p8/jz4Dpdugvv1S/YzjBL9F4xaCOiIiIKI4CNebU1MXEAcBiT8G8ddfA3aUNWqZedroc1MWjGPaU806Cff50JBbmDOn+tCWzMOuWy+Ht68eRh19C++5DyAlKruLqCB/UBeSdfhwMFjMSC3Mx+9Yvwef2IHWOUofPmGiFYDah5vn30LG3ArNvuVz+/aj+77ua/XyCmV9vafLh8ksiIiKiOOo6HFrMeu731mrOzfZkmFMSkTglW9NusJiQf86JAKAJcmLFYDIiZWbhwB3DEAQBqbOnyrOI1c9skWrFqbgdTpiSEyMmg1HXhUuZWQj7PO0SSkEQYEqUlqw6K2rgPFoHAPD2u0MStHBLFk1GDOqIiIiI4qRjXwWOPvEGAGD+D74KAEgsypWKdauClkhLBqeccwJWbFg3put2qROttHyyR3PN5XDCkpaMBT/8mrTsUyfoMg9yyaSvX9pDt/PHfwm5ljRtyqCeRTQRcH6aiIiIKIZ8LjcqHnkZhReegp7qJrndnJaMxb++GUZ/cLbst9/Gjh9KJQ4GG9SMNeqg7tjTbyO5ZAoSpmQBkGbqLBmp8vUlv/kmAKC3phkH738aAGBO1e7DG8jhB/+LzFULNG2m5ATMve1qWFXvIposOFNHREREFENdR2rReaAS1c+9o2k3JlhhTk6UZ9wMZhPm//BaFJx/EoyJw6s/NyaoZuD23/Mo+pra4epwore+RTMTaUqwwZRggzU7XbnVEMVX0qAZvtbP9sFgs2g6MKCjyYpBHREREVEMiW4lCYqnp08+1qu/lZCbibwzVk2I2lzB5Q32/e5h7Pm1VGBcbyZysLNzuaeuCGnz9bmQvmyOdH1N6HWiyYLLL4mIiIhioKeuGQfu+Y983nWoGkabFbbcDMy//dpRHNnIyD/nRNS/sVX3WnCZA0CanVt+721RPz9n9TLkrF6G3tomHNjwuNxuMJsG9RyiiYhBHREREVEMtG07ENLW19QGsz15QszEDSTizxhmeeVgfl8Cfc32FE17f6tjUvz+EkXC5ZdEREREcdLX2DapimEXXrRatz2W5RhMSQkwJtmUd15wcsyeTTReMagjIiIiigGfxysfz/7Wl+Rjc1qKXvcJKXfNCqzYsA4zrr9QbksqyY9pYCsYBCz59S3K84vzY/ZsovGKQR0RERFRDLg7nfKxOoix+AtzTybqxCgzb7gk5s/ncksiLe6pIyIiIoqBrkPVAIDitWfDnKqamYomXf8Eow7qTKqlkrFUeNFqGKyWgTsSTQIM6oiIiIiGyVlVD29vPwAgK6godqK/CPdkopftMtZYwoBIwaCOiIiIaAhErxcVD7+EvDNWofxPT4RcX3THDXA5nJNyz1dUxcSJKGYY1BERERENQV9zBxz7jsBZVSe3zbrlcvnYkp4KS3rqaAxtTCi5+lyYJ+F+QqLRwKCOiIiIaAg8zh4AgLe7T25LmVE4WsMZczJXzhvtIRBNGpwbJyIiIhoCl8OpOS+6ZA0EI79aEdHI4988REREREPgDgrqsk9aMkojIaLJjkEdERER0RC4OrRBHWfpiGi08G8fIiIioiFQz9QtvfPWURwJEU12TJRCRERENEii14uOPYdhTkvBjOsvgDHBOtpDIqJJjEEdERER0SC4O7vRVVEjHXd0Iakob5RHRESTHYM6IiIiokHY/csH5GNrVtoojoSISMI9dURERERDNOuWy0Z7CEREDOqIiIiIouWsrNWcW9JSRmkkREQKBnVEREREUSr/81Oac8HAr1JENPr4NxERERGNOaXrN6J0/cbRHkZkDOiIaIyIyd9GgiA8JAhCkyAIe1VtGYIgvCkIwiH/Z7rq2o8FQTgsCEK5IAjnxGIMRERENDG4VPXfRFEcxZFoqcdinz8NS3550yiOhohIEat/YnoYwLlBbT8C8LYoirMAvO0/hyAI8wGsBbDAf899giAYYzQOIiIiGucO/e0Z+djb2z+KI5H4XB6IXh88XT0AgMKLT8XMb1wCU3LCKI+MiEgSk5IGoii+LwhCSVDzxQDW+I8fAfAugB/6258QRbEfQKUgCIcBrALwSSzGQkRERONbX2ObfOx2OGFKtI3iaIAdP/oz0hbPRMfuwwAAsz1pVMdDRBQsnovBc0VRrAcA/2eOv70AQLWqX42/jYiIiEjD1eEcuFMc+TweAJADOgCw2JNHazhERLpGY4evoNOmu2BeEISbBEHYJgjCtubm5jgPi4iIiK1P4ywAACAASURBVEabt8+lOXc7Rjeoczu6Q9rMdpYxIKKxJZ5BXaMgCPkA4P9s8rfXAChS9SsEUKf3AFEUHxBFcaUoiiuzs7PjOFQiIiIaCwJBXPHaswFok6aMBr2g0pzK5ZdENLbEM6h7AcDX/MdfA/C8qn2tIAhWQRCmAZgF4LM4joOIiIjGifq3tgIArBl26fz1T0Y1sAt+d86py2EwMb8bEY0tsSppsAlSopM5giDUCIJwA4DfAThLEIRDAM7yn0MUxX0AngKwH8BrAL4liqI3FuMgIiKi8a2ttAwAYFbtW9vzqwfRVVGj6eftd8Gxv1LT1rG3Aj63Jybj6KqogburG459RwAAKbOnwpSUgIIvfiEmzyciiqVYZb+8KsylM8L0vxPAnbF4NxEREU08wclIDv51M1ZsWCefH9v8Ntq2l2HBj6+HLTsNzqo6VDz0AnJWL0PRJWuG9W7R58PBv26GNTsd/c3tAIBZN18GQdBLC0BENPpGI1EKEREREcr/uhkVD72gaTOnJSPzuPkwWExYfs9tmmvqJCpt26UZvX2//RfqXvsYVZteB6AthzBUTe/vAAA5oAPAgI6IxjQGdURERDTifB4vnBU16NhbIbeJPh/cnd3y0kvBIKDg/JPk64GkJT01jZpn1b+xFf3NHdIzRBHtuw7h0APPQRR1k2sPqOaF9zXn6UtmDek5REQjhUEdERERjbiWT/aEtLm7egCfqFl6mXfGKhhsFgBK0pIDGx7X3GdOU0oM+FxuHHnkJXSWVaGvvhUAIHp98Lmi22vn7e0PyW6ZVDIlqnuJiEYLgzoiIiIacZ6ePvk4UOA7MBNnDtpPN2/dNfJ1T3dvyLPcHV0Q/Bkpu6vqQ95x+J/PY8eP/hzVuHb+9D64O7W16WzZ6VHdS0Q0WhjUERER0agKBFGuDimos6Rpg7rAzJ3L4YSrvUtuzzvjOPlY9IQm0g4EiZ1lVVIfry/iOLz92sLnU847CcVfPgv2+dOi+TGIiEZNTLJfEhEREQ2Guqi3u8MJ0e2F84hUtiB4ps5gMUEwGuGsqEHilGy5Pe/M4yEYDKh/c6vuO4JrzPW3OmDL0Z91621oBVR78IouPx05Jy0Z3A9FRDRKOFNHREREI87d6YRglL6G9DW1Yd9dj8hZJ01JiSH9Ra8XneVH4eroBAAsuuMGGK1mZB6/QO6TPL1APjZYzZrAEQDK/rgpzFi6sf/uf6PikZcAALO/eQUDOiIaVzhTR0RERCPO1eFE0tQ8OCvrUPfaJ5prgiF8+YBjT28BADmZiTlVmdXLP/t4WDPTYEpOxM4f/wVNH+yANcsuX/f29svHrdv2w3GgCtO/eh6aPvCXMGiSShiYg5Z/EhGNdZypIyIiohEler3orWuGLS8TADSJSRILc3TvyTl1ueZcMEqJUQwmI6aceyLSl85GyswiWDPtMFrNcr/q596VjxNUSzerHn8d7TvKIfp8aHj7c82zgwufExGNdZypIyIiohFV/4a0B66nujHkWvqS2br3ZCyfi6b3tuteyz/7hAHfabBa5GQqnl4l86a7q0fTz5hghcFiBhHReMKZOiIiIhpRvQ1S/TirTqkAsz0ppA0ALKr2xb+6ecB3zLjhIs15UnEe+praUPPSByFJWhLys+Rz9RJNIqLxgkEdERERjShrprTPreTLZ2HOt6+Ujq8+B5nHzUfG8nm695hTk5F90hJkn7wU5pTQRCrB7POna84TC6RlnY1btsHtUJZ7tu86GJIlk2gk1f8GOPbd0R4FjXdcfklEREQjqq+pDZaMVBgsZiRPL8CKDesAAJkr50e8b+rlp0f9DkEQUHL1uah6/DUAgCnRKl9TB3GN75YCAKzZaehv7kDakllRv4MoFurukD4LfwcYBv73CiJdDOqIiIhoxHh6++DYXzki78pYPhdVj7+GpGlTYMvNlNvdHV0hffPPXIXM4xaEtBPFk+hWjnckASvE8H2JImFQR0RERCOmY9ehEXuXYBAw//ZrYUlLhtFmRcrMIjgra+HqcMKUlABPd6/cN7jgOdFIqP/NaI+AJgruqSMiIqIRc/SptwCEliiIl4S8TBht0tLLtEUzIXp96KlrhtmejOIrz5L7Maijkeb8CKj/9WiPgiYKBnVEREQ04nJOXjLi7wwEbj3HGmBJS0b6UmX/nMWeMuLjocmrZxdQfrJynna59Olj8lUaIgZ1REREJGv9fD8q/vVi3J6fWJSLxMIcWDPT4vaOcNRFxc2pyfIMHgAYbZYRHw+ND9XfB0oFwN00+Hu7twIHVgLebm2766j2PGmV9OmuA2pu978vtIzjqOjeBhxYAXhDt6LSGMKgjoiIiGRVm15Hx57DmgLdQ+VyONF1qBoA0LG3AnWvfYye6kYkTMke9rOHQr3EMnA8d91VKLn6nFEZD419vh6gaYN03Hj34O+v/h7QUyr96nwDOHIV0F8JeNuVPrn/AyT4J67dtUDj76Xj9qeGN/ZYqVkP9GwHWh8BWh4CeveP9ohID4M6IiIiCnHkkZeH/YzyPz+Jg/c/jd76FlQ89ALq39gKAHBW1g772UNhTlXyxftcUtrBpKK8AUsp0OR15GrluPHeoT/H2wkcOgdofwLYOx1w+f8nYL8QKLwbsBRI5z07VDcJQ39fPFR/Bzh6A7CfSWLHJAZ1REREhLYd5Shdv1E+761vGfYzXW2dAID9v39U027LTh/2s4dCMChfe6yZqaMyBhpf+iLMSpUK0i8xTBkC54fS8ksAqLhQe63up9LnzBekT7M/qKtWFSH3tA1+vHGhE1z2HZZ+9q73R344pI9BHREREaFhyzbNeeqc4ri9a9pXz4/bswd891e+iOTpBcg6YdGojYHGj+RTtOe+3tA+6qWUgLRks3o9UH5KaN9wjDpbTOt/ISVUGU2iD3DqBG4Nv5U+K68a2fFQeAzqiIiIJjmfxwt3p1PT1tfQOqxnurt6dNuLLlkDo9U8rGcPR8byuZjz7Ss1s3ZEPhfgdYa2u+uAxJVK0FV3h5Shsv+Iqk/QauKGu4GmjRiQMUM5FsIstTywVEpQoi5SPpKcH+i3tz4kfbrrRm4sFBn/RiMiIprkDv3tGXiCgrCemib0NbeHuSMyZ1Uddv/i77rXclYvG9IzieKp7g6g/Auh7a4aaWmk3T+53HgvsMMG7J2h7aMWPHMXUPIwsEK1VHNJlNktd6YClddE1zfWAhkvBZs09pKHQ/s4Px3RIVEYDOqIiIgmsYYtn8N5RD9xSV9jdJt6XA4nqja9LicfqXlBf6PNwp9+fWiDJIqz3j1SVkfRK5033Qe0bZJm4SwFQPE/w98bPFMXbo+d4J+gnr8XmP0OIJi01xepnpN7u/Za++aBf4Z48DRIn/P8q7MFnUn2mtti977efcD+ZUDN/8TumZMFgzoiIqJJrPalD0Pa8s85EQDg7XNF+YwP0Pr5fnTsO4LO8qPorqqXr835zpXysTXTPszREsWHuwaAV6kNV/0toPJqadbNXAgYrOHvdamCMdEHNP9ZOS9+CJj6gHScdon0mbAASFkT+hzLFGD600DhBiD/J8P5aWKn6z3p0zpL+ky7BDAkaft0bwX6q2Lzvv0Lgd6dQOM9UoDnbo7NcycDBnVEREQEABCM0teCnFOWAgDcDp1NRjpErw8A4OnuxaG/Pyu3p84pRvI0Ka1fUnF+LIdKFFOBwMxdEzrTFig3oEewamfq6u5Qjm1zgazrgewbpaWLhsTQ+4OlXw7krgOMdiDj6oH7x1vbf6RPg8X/mQgs8/+1YJmu9Ns7bfjv6npHe75/IbB35vCfO1mYBu5CREREE5F6z5wtJwO23Aw4K+tgSrTBYLPAFSaoa/5kDzrLqpB1wiIcfvA5ub36We23shk3XAwAWPp/34Jg4r8j08gqP1XK3LisFzDYwvcrVSUpcdVqZ94ApdzAolpgT1CAJ/YDLQ8C2d+SkpqozduBYTFmKseCRZoFFPz/Mzp8CZB2IZB1w/DeEUmgHIOepU5AMAJlJwC9/gydnlZgV5Z0vCLMElQ9njagfDWQcnroNV9n9M+Z7BjUERERTVL1rysZDmbdchncDif626VvURZ7ctiZumOb3wIAdB2qDvvs6dddCIPJCAAw2iyxGjLpcH4oJbQwZQJJq0Z7NIPXXSoFXQkxLGotikoq/r5yIHGJfj9vUNDQ/Bega4u2zVLo/5wCFP0VsJ8DND8AiH1A05+ka8du1t4z6+3IgWQ0Cn7jr5MnSmPytEjlElyVgON56Zc6qOt6H7AUAdZBzpp1fSD9jMH3lZ0gfQo6S0+N/iWYRtWKaseryrHo1t9/p6fzNaBvn/QrnPbngNQzAWOKtt3bCbQ9AVimAvZzo3vfRMWgjoiIaJIyJScAAKZd80VY0lJgSUuRl0ma7clhZ+oCvH39Ya/Fs84daanroQ1mhmSsKFspfcZy7J2vK8eeCPuygmflurYAQgIgqurRmVWzczm3Sp+Fd0mfjpeB/grArWwjBQCk6sw6DZYxFZj9FtD+rDQud60UaIlhtroePFUKpJZHtxVWuW81ACOwwqN/fdYb4e/NXacEz54Wpd3dIAWY0QgkpwnI+Iqy7BOQ9tYduUxajjrtMW3fozcC7U9Jx8u6o1viOlFxLQQREdEk1fS+tD4sY8XckGt6M3WN721H6Xr9AlxFl50mH6/YsG5Ua9FNJr4+7Xm4zIvjxbHvAKUmaUlkaZjabdHwNCnHh86Sli7qCc5cCUjLCtWMyeHfM8O/+tgVx3ptgT19B5aHBnT9FdKnz1+RZLD17ORi6l7A2+1/ZqX29z5ldfj70y4Bpj0pHdesU9qDg+VIqq7Vnk97VHveu1f6bHs89N5e1ezesW9J496ZEdpvMuBMHRER0STU8PZnEa+b7clwd3ZD9PrkBCo1z7+n27d47dnIXDkPScV5MFgYzI2k4OLP3nbANI6+1PpUM2KNG6Tlj5H07AIOXwAsKFOWAOoJXlbpaQbMuaH9AjXmCu4Can/oH5MTSDoJMGUBaRdEHo88i+ef5UpcBUz9c9juQ2IuDH9t70xgym9CyyNESx187UwGsm8Fmu8b3DMsOuNz14S26Wl9TL991ttS0pnuj4HKtdpr/UeBqq8AeT/RLtlsfVj69LZr9x9OFgzqiIiIJhnR60Xtyx9F7GNJSwZEEb0NLUjIz4Zg0J82yTvjOGStkjZDJRXlxXysFFnwjEj7M0DGldq9TiPJ0y4tGwye7dLj7QJ6VMlEar4f2sfXp92bFkhGcuybQMkjgKDzx1J0S3vRBLMyc+Wu1Q/qAjN1Od+REn003i2dd38U3XJQY7pUmFvsA+wXAzP/O/A9g6U3brW6nw392cEzlcEBXaSllwFmneyg0czU+fql4EwtsA8v9XTpz1HZcdrr3i6g4hKp7MHh88I/212nH2xOZJMshiUiIiJ3Z498XHTpGt0+5lRpzdmBex9D/eufwOcO3XCTMqsIBeefHJcxUnSCv5QfuwnYmTY6Y/H1AXunAy0RCnWr7UyV9oFFcmC5cqxeQtn2KND6kP49lV8Bmu8HzKoqGuGCDHctYMwADAnKPjlAm64/EkFQJVKJUPpgOPRm4SIlIQmepYxEb/mpWupZAz9D/ftsvyC0zEM4O3QSyUx7QjnW+/101wKuYwM/+/CFA/eZaBjUERERTTL77npEPs4+ealuH4NZ+SZZ/+ZWuDu1++sW/OhrmPH1i+IzQIpa7Y+lz5J/x+8dXe8DNT8auJ+7FvB2KHugYqHvgHKsTsQBAEe/Aeywh+4jDCTOMKQCc/0JXsMtB3TV6M/ozN4S2hZOYKYq0jLJ4Zq3A5h6n5QoZEE5sLgOyFmv33cw+9lcEZZJzo1Q0kDNoEpuO+0J6fcj0nP1LO0C5pUC6Zcpbaac0H6uWsDbpm3Tm5Xu3Tm4908EDOqIiIgmGZ9LWpOWsXIeBL31awCSZ2i/oXYelMoXZH9hMQovPhW2nAwYrSxVMBDHzgbUPLoLPk+YTB3D5KqSPtO/rG3vOzi45/TuA7xhkp0ePBVovEtaLhdxLP4v8gPtp+r+TCrDEC1PhzS+QPkANV8n4G0Nf2/iSgDG8IGO40XAPEU5n7sNyFknpciPVmBGKV4zdQCQuBTI/qaUAdI2W9rvl3Glft9oZsnUfQ0pgDWoyPfsLYMrj5F2KWBbKO1ztBToj0EUgcZ7gZ6ggCvjK1IymsTl2nbBCOT/EkhYCkzb5B+vzp+tWW8BBb8DZrwIZN0ktdnmRT/2iYJ76oiIiCYRb7+SHq/oovBr3wI15gICtemyT16ChLys+AxugvG5vTj8fx8AAHqPOTDrpxHSCA6BeobKEBRf75sTfYkA0Q3sXwiknAXMfiP0WoC7LnINtMAX+YFmisqOj3x9+tNSzbp9/i/mu9K115PXAM53lXNXrRTkAED3Nm1fwQiY8/SDjM63/Z+vKW1JK6RfgyHP1MUxqNNjKZE+U04Dut4BSh4Gqq4b3CyZq1YKwhYcANo2AZVXA0knSs8cjBnPKsfmAqDn89A+bY8BNT+Qjme+JH0K5tBsl2pTfiH9CmT3bPmH9vqiY1LphCR/WYy0CwB3o5IVdDLhTB0REdEkEihTUHDhKXKdunCMCaFVh832CPndCQDQ/EYFDt/1IdztSr2Bzl2NKL1yM2r+sztm7wnMUE25U/pc2gUU3qtcP3ozUPfzgZ8TqLHW9aaUEn5XnlSQGpDqjQXU/UL6rPgS0PjH0OcEgrlIM0XhZvuW9QCLaoBFR4H0ywHb3PDJXkoeAmaqAjFXFXBgBeB4RbvfypynjKf1YaA06Ftv/yBnM8OJ9566cMy5wJJ2KVPkknZltnZQM3U1yrLRjKuk3/85HwxvXJZCKbAMXhbb/aly3L5Z+hSinOw3JEpJaQIzvIJV+pn1auFZCgf3ezBRMKgjIiKaJFwdXah6XPo2nFQ4QEo9AHO/uxb2+dqpGaMtNNAjrWP/2A5HaT0O3fl+yLXGF8pj9p5AEGWbLX0ak4HsbynXWx4A6v9Xe0/7c4DXoZx3bwWaH9T28TQCNbf536Ga9Wl7VPqi3vG0cl0tsDTOXQ+IOoWse3aHBpkzX5VmbQwJUlCkXva4IMxvlaUESD1bWiYJSMFCz3ag6nppTx8ApH4RmBa8z1AEOl5STp2fSJ9zI1f3GFD6WqDg94B1zvCeMxSmNClZiylNyhJqzBxcQBOYqQuwTI0uc2kk5gJA7Af6DwWNVbVHrtW/rXfuJ4N7bsDcrdLPHK6ft12Z3ZssGNQRERFNEmV/2ITuY9LUSzQzbrbcDEy94kxNW7g9eBSqvz7MJrUYCXx5V3/ZNViBgrvDjOcIcOQyKfgJKDsBaPjNwO8IUAeEweRllz5pCVywA0uUkgEB9nMB+/n6zzPnApnXadtM2VIQIwj+bJWCdsllYLwznlOyMiadpFyvUGVFbPMv+0sc5HLLkHHmAHk/0C+vMNIsg0hSInqlADzWy0YN/n/3KTtR2x5cUxGQ9uFFKxB8CjYgYfHA/QaTMGYiYFBHREQUJ6LPh9L1G1G6fiOaPhjddGyizwd3Z7d8Hu0ySktaMhbdcUO8hjUpde1tAgCUXrkZpVdu1hyXXrkZvdURIieVwJfW4GV/5qBygaUCsGe6Emh1PCftOQpeHqfWs1360h94R8pZgHWGNsjbkSI9O/Cr4xnl2p5CoGmAItbqWcVwgpdrJqiStQpmACLQJW33hKdJmQk0qCaU5wYlZdm/DNip2qc3kYpUm8MkKdHjbgTgjX1QFwimvW1AxRWq99UCCUu0fQcTCJtVy1wj3Rf4eSbbEswJ9MeYiIhobFHXg6t+7h049h+J37u6elD/1mcQfdpv6t4+F3b94u849MBzmnajNUKhqyDm1KSYjHEyCP79B4AFG89B7kXK2ryDv34P/Q3KLJ63T7tWcf/338DRB0oHfFfjPdKnuk4YoL98zlUJlH9BOW+4R8pEGEnFxUDvDmn/UuJiaQao7pfKdd8AE5HqGcDgALL4IaDw95HvBwCX6n8yBXcD058c+B496iWWvTuVZZoTjaUQ6D0A7MoBevdH7hsIemJdpNt+sXIcCPT7DgOOl7TvKhzgz18w+c/5ANFL4B01tw/u+eMdgzoiIqI4CSQlCTj8j+fj9q4jD7+Iulc+Cgkc6177GJ6uHnQdVDJIpMweRL52AILRiLRFM1Fy9bkxGetE5unUTi1lrC6GrSAVBVcvxrQbzgL8wc3e774q93G1hG7+aXlr4H8ACCT6CC5EnfrFgcfZ8jeg9n+U88QVQOIqYOrflTbHy9LeJ3O+NEsi9kv76SJJX6scu+uVYE5ddsCQJC2rNETO0wMAmPqAcpzzXcCUHr5vJEnHAUU6JRFmvTm0541V5gJA7AU8zcD+BZH76i3fjQX1LJrBvyDg0Dn+80Rg9jvSktjsbw/uuYEkOMF79YIFfp6ez6U9o5MFgzoiIqI4cTlCpzK6KgZZlTcKfc0dcFZKG1YqHnpBc83b59Kcz113FWbfcvmg3zHj+guRuXISFn8aJFdbr+Z82relYl/HbgYqz00D9iwKuafnSLvus4Jn8NQi1YwzpUvlDKItaQBINcnmbQWybwJmv6e95qqS9o1FozBoz1yzfwlmYBnn9M3AMmf0y+4SFys/i0EnR09wbTMAsM3Xf1bwslRDCpB6pn7f8SqaQDkgsPcuHlk7bf6AMlB2wVWpXEtZIy2JDS7DMZCUNdH1M6pWlpedoGR3negY1BEREcVBX2Mbjjz8IgBoSgc4j8R2o4ejrAr7fvsvTZt6CWBwWQKLPSWm7yctd6s06zbzJ6dg0f1KBhC5vlbFzJB7qv6in37RHRQgqnX4J32n/DryeIr/FdpmLggtFyCo/pik6JTTC5d63n4xMP0tZS2jOR9YUKZcr/62VA/uoL8kojnGS/1mvxPaNvdj/b5CUFA40iUIRoIQVIG6VNAmTul4UcmI6q4FYNJmpYyVuR8ByScDfXuBAyshz1ALtqE/M/M66R8FlnYN7r4Wnf8NTEQM6oiIiIagp7YJPlf4mZR9dz0iH3ucypdzg9mk113DWVUPMVIWC5XDQXvlAKCzrAq9Da1o33UQjgOVmmum5MSonkvR6/5MSioCAM5yaZ1hYrEdlkzl99ruz7ponRl+iirn/Fma856q8Bu/Kv01ySwRioEDQOY1QNYtyrLKzK8DmdcrWSwL7pba8n+qvS/vZ8px/h2A/QLV+S+U4+ybgGOb3gfWvIPcH7shmADbHMCkmhU7dKbyvlgHUsZUYOr9wPSngOnPAEV/DV/fLvUc7flIFwsfCVk3hrYdPh9wfirNWFVcpCSTcdUClinxSRRjtCsFwHtU20ML7xr6MwUBSL9COxMXTtFfleO6n4bvN5EwqCMiIhokt7MHB+59DEeffiuq/snTlW+P6gyUejr2HEb5n55A6+cDZDmI4PA//ov9d/8bRx55Gf1N2qV9gmEM5F2fQLo/A8qOBxr+TzoP1KEz2bVTEoGaWf1lRpjTpcQz+VdqNz3lXToPK576Ehb8Qdq7WPmHTxGW/z9j4tLwXQBpv13x/VLwtUIESv4p7Y0LsJZIbaYs7X0Fqvp2mddJNdACyyCn/FLZ62abC/jcXiC7BRnfUJYbZ31DfzzBSyBjIfsWIP1LQPplQM6t4fsZrNpacrFOEDIWGFOk/0bmKUpb726g/ERgt6rN2ynN1MUzsM35nvbcNi80qU/c3n0rsFi17DLScuWJgkEdERHRIHj7+rH759K0R9ehat0+wbNss2+9Aot+fiOsmXbdfXYAULXpdZSu34hjz2wBAPTWt+j269hbgf33/Aei1wcASJyqfEue850v696TkJ+FJXd+E8t+N8jMBBSRq0YK6ACg+3Og+c0K+Vpw8KxeAjf7h+di8YMXIv8y7R5Fc6q0PtCckQA0ZwGvnguvExDdwP4l0tK5gORTpFpdCYOo8xVgylSODRFmPQLL8tQBQkDWN4ClHYB1utJ27F875OMpvwJy7i+DkKCdzW79QDtzPNLm71K+7E/EmbqAmS9Hvr7TDvSVxzewzQ3KPqn35yie1P+AUHHpyL57NDCoIyIiGoT2nQeVE51JL2+/G80f7ZLPZ996BQSDAZa0ZJjtySEZMQFA9PrkmbnATF5b6QHdJZgVD72A3rpmNH+6R+rvf17eGcfBmpmqO+be+haYEmwwWKIvY0ASx/Z6uNp60frBUfhcXs21OtUSRceLwLEHtgMAEmdoUzT6+oD+cuW87WEDxG4bIArA1lWAMwkz150Jh/+LuNFmAnYtAZwp6N0NdJdKsy0VFynPcNeGTwgyEPUMSvCSRLU5H0qlBww6+6AEQVpi5yxrga9XCty6y5UUl4IBaNqyB2KKKu3lwj04+rdtwY8K0f5JNRpfOjhgv6EwWKUv+1P/rr9UcaJIWAIU/iFyn3jP1KmT4aScCUz7T/zeFc4Uf1mNzlcj95sIBl7YT0RERLKjT0Veclnz/Lto+XQvAGDatechZWaRfM1sT0b3sYaQexrfDa1J5nH2wrH/CNIWzJDb1EFe9TNbkH3CIri7upF35ioUnHcSRJ9Pd0xTvvgF3XaKzOfx4fDvlMrVPRXtKLpOWe/Y+kjQDRUzgJkVSDtO+0252h9EmbIAT4uUqKJtk38m41gxcKwYNceAvn3Ash4pg6EpzQZPO+BpE1FxofZfD0RR2g+VdsnQfi6DDUg6QfpCH2k/lW2W9CuS8p/rZCpRa8pVjueVwZQ2cKaMIxulZac5X5wJwRif+Yfsm+Ly2DFDEIDc7wHwADU/CN8v3rOVKWdIS4BnjVJQlXaJ8o8voji4YufjDYM6IiKiIXJ3ONHX2AZbbgZK129E7poV6G9xyNeDM01a0pLRsccJURQh+L9dlK7fGPb5nu4++VgURWz/vvaf3h0HKgGfCEuatIZOMChfgFdsWDf0H2yS23ndf2FfOQVTgva8tfxwNpp+2Aic+j6yluUtlQAAIABJREFUzpgGYKX2xh3LgelHYMnU5pVv8e8/Sz0PaPu3dNx/WKm7BUgBHQC466TkJ55KKclKcEDn7ZKWY4p9w8skOfeTod8bEDyTbEySZoLrNu9D/ebAnlARgABMl5am2vLDr/ese3o/6p/aJ5+7O/o0yWZo8HJuGyCoi8MeR7XZ0W07jht10Lrd/9fjYEp9jCdcfklERBRGx74jcOzX7gEyp2kDtbK/PAl3l5QFo/HdUjir6pS+du0XWLM9GaLHi9qXP4QoivC53BHf7+tXasx5ukPT2wdq0qnfM/e2q7Dwp9dHfC7pcx5sRemVm+HtcaPt/aPo+FxbfsLXlCjPPLVsVmWmPFGVQ9+bgIxTinWfX/yg9jy4aDgA1P8G6I6QH8VdG9/6YoPh6VL+fCZMtcPb7Ubbx9WqgA7Axc8DMw4DS3fCmpcMV1svRJ+Iuqf3w60q1N5zpF0T0AGRSzpQdASjcjzzVWD609r9dnp/BicSU5qU7VVN9Or3He8Y1BEREUHa1+Zx9qKvsQ0+j/T/+hX/fB6H//FfTT9fvwvZJy1ByVXSZiRvdx+qNr2uPMejfGMwpyZp7rX4g6/GLdvQU9OEzoPHNNeTSvKRedx82PKkTBbqpCrqvXh5Zx2vuc+cqgR1SVPzYM1Mi/KnJrXyn23RnNc8ouyNhE81Y+Y1AG/7q1Yv3AMUKsFfcu50TZIUr6qmVnCx5eb7Q8fQ+jBQflJou8E/YeWq9dcXw+gn+tAEXf4fOSRjp8UNLN8BGH1IO24K3G296NrXhPqn9qH6H9vlbgd+FDqlE1zI3dPtCtnXSAPLWQ8U3gPYzwXSLwfs5ynXIu2pnCgyrtaee5pGZxzxxqCOiIgIQPVz72DXz/+GfXc9gl0//5vmWvdRKV2et98Nb28/LGnJyFiu5EbvLKvSfabBZNScm1XLMcs2Pi7PtAXM/e5alFx1Dhbcfi0sGalwd+gHdVmrtBkyLHZt8EhxsGuJcvzs5cqxyQMIQOI3pX2Rzr9rM1ru9OeuyftR6CM9odsrtRbtlg/n+eNLd40S1I12Sn6Xv9A6AKSfWBRyvfjmFZpzc2YiRLcPrhbpPk+3K+QeNXerNqjbdf3zOHTn+0Md7qRVdC+Q+339a6ZJ8O8/lqA/mupMtBMJgzoiIiIAzR8rX6B9fS7NXreD9z8NQAmszPZkCEZtwBZs4c9uCGkzp+rvD8o5ZRkW/1KbucHb50Lb9jKIXmlmwqUK8Mz2ZMxddxWyvrAYM2+8RDNTR0NnK0gJaTPZpTIDqJgRcg0ADMlGQATST1PqBBzVy6roz2Kw6Ji2MHI4glUE5pYDJ3yCuduUpZZNz9Xg6MZ9gCCOWM2vcAIzdTN/ckpIeQaDzYTM05XK6Ev+eREsGdJew6P3Sxkwu/Y04cgfPoW7ow961DN1gRIezgP6pT5ocBbXAYsn6IxVMNscYMZzQNGfpPPGDaM7nnhhUEdERJOez+UZ8LrP49EEdZHMuvkyWDNCywtY0vRLDhRevDpkqaa3R/qi21MnfYmVSxecuQoGkwlJRXkovuIM2OdNA8WGx7/HS12SwOPoR/Gtx8G8uEP3Hl/2YQCAbZpVbmv5h1TcWS0wU2Ip0hbmzlLF8smnKMep5/rXMxbVwDKzD4YEwJgO9OztAxryAIMXIkZ3KWLXHikqSF2UE3ItYaodgiBg5k9OQeG1S2BKsUr194K0f1yN3Te9qG0UAHNmAtq31kD0ifC5vKj882fy5aZXDqFjWx1o6Mz5gDl7tEcxctIukQrUA0D7E6M7lnhhUEdERJNe1abXBuzjdnTD5ZA2SAWyWgb2vgWs2LAOKzasQ+oc/UQZgkHA8ntu07SVXHOuJmtlQCDI8/ZKwZ3L4YQ5NQkF5+lsuKJh87m88HS5MOXLCzDly0pF74yTpyJrTQkScjOQeBxgUE3mZW0oB0xSYGXJ0gYsrhrA588DMuXX2mVu6r112d9UvmyWPKq0WwqBKVdJ49hz68tyG7qTgLZMwGtC9b92Du+HHqb2T6V1bHplBzJOngoAsC/NQ+4FswFAnqkLx74iH+Z0G8xpNngc/XA1dqP+2QM4dOf7aP+4Wu5X/fBOVNz9Ebw9kRMNEamZQv/tYUJhUEdERJNecMISPXvvfAhVj0sJUQIzdfPWX4Ol/3froN6lTqKx5H+/icwV83T7zb71CgDKDJ3b4RxwhpCGzt0uLfUzZyTAvjQPS/99KRY/cCFKvr0KgJSgxFIATcF563SlMpQ5IwHzdijX+o8o++n0EprY5vqv5QPTHpfq01lV/xZgTAHM6VIQJLp98PV70HvACzQoay6dZaO3FFEvYYklV/qHiEV/uwDZ54QuVzWratQFgj61km+vgjkzEeaMBLlcQueO+rBLLoMTqRBFIhiAlLOk4+rbQq+7jgGlAlB5LbAjFWj518iOb7gY1BER0aQl+kSU/fEJeHv7w/aZojMzZrRKecANJiOMNitmf/tLmHnTpVG/d8YNF2Hu966CKSl8IebAUk2XoxuiT0Rn+VGYU1izK14CAUJgNsloM8GcZpODcHetFJwtLANgAAp+D9jylf9+5lQrrKo4puJCQPTnAdEL6ma9AUz9G2DOBQSTVHBcM5467T8A7L75JcCj2sdZUom+mk701XVhJPlcXlQ/slMu95CxWolEZ99xKopvWQlLRoJch1FNMClfOwu/ulgTIKcsyIYpyYLCqxeh4JrFMFqlgLn70P+zd97hcVRXH35nq1a9F6tatty7TG+mmB4gEAwhBEJIIQkQSiDAlxASEkKAQICEFlpIaKb3XkwzBktusi1bXVavq1XZvvP9Mbs7O9pZFVvVnvd5/Gjmzr0zdy3t7j33nPM7XRHnopU80Bgt/f76jG33hl+rPk/62fVf8PWCbprpT2lGnYaGhobGAUvXpvKgsiVAVEYy5nQpn8qYGEvKQQtIO2LJsPeJK8whYV7BiJ+buHAWMflDV/3VmQzoo6NwW3vp3robIKxmnsbYEVBaNKoUu/b2g9cqhT8as6DYC5m/IZgjZkqXVn/6OBDMYcNVVSpNuZD28/D2FL++TvoVELdATnryDrhhZrXccf5OALZfNXzo8FjS+Mw22t6qoObeDQCkhBh15vQYUo8bOscz56KlCEYdhsQoip8/N9g+5w+rAIhblE78onTJ6BsGzVOnMVryH1Fv9znD60NOdh3I0WIYvouGhoaGhsb+iad3QHG+8LcXh/UJhIFNBj6Xm/avtgaVOU0q4isaY0PNfZKRopb31XC19NMwSFjCmCR56qIL5IS5FQ4phEvRbxSLw4JHpX8S0Sy67xTKrnxHOl1ZAjWFACQen4h1Q//IbzxGuNqVz1QTPxmKjNPnBHPsAIrXnqvaL/X4QuoeLgmeL3vqu+ijpGWrz+Vl04Uva566AwxRFCk9T1IijvR3MxzJ34eeN6Hv68A9oTSCi2uy60COFs1Tp6GhoaFxwCL6fMHjjGNXqvZRCyObKEILmQPM+eXeLWQOJGof+JY9T2wavmMI/ZVyiJ/OEr7f3fFv/8GgPwVTSjSzbzqKgl8eNOT99Qmjmo6CwUZT+v01LNgxsr/L5hd3UHnHl8FyAGPB4D2O4cRPxoIZ5y8KGnQAOpMewaSn6bmySc0rHC32+h42/fDlYevzaajT9cXwuc8jwZgthVOLIvhsQ/SbMSaPmzA0o05DQ0ND44AlUPstpiCLzOPUjTqAtCOXAWDJTqPw4tMnZG5qmJLC66hpyIiiSOentbS9UzmqceU3fRQ8VjOWLNKvn8SzwscmLMtEH21UtM3x18e2LJZKFuzLvoDOpMeSJ1uFpgI3lkHaOqJPtrQ8/S58Tg+9O9ppWrudno1N2La07v0EBuNTWnVqRvBYUXjNYSQdnhtWAw9A9Au17Lr5k7BrUzUsc8dv3sfn9NLw5OSqlk5XakPKWvTt6qC/onOv7mPMBtEJ3k5wVimvmUL0e0JVaqcD4x5+KQhCLdALeAGPKIorBUFIBp4HCoBaYI0oit3jPRcNDQ0NDY1Q3D19RGUkM+/K84fsl3f2seSdfewEzUomcWkR1i0VwfPJ9BpOBzy9sgfE5/KiMw1dIB6gK0QqP35phmofnQXijgND8sjmEXcUFI9h1O6Cu06kc10ttf/6FkuuFIIbOy81WFKg4T+byb1kOQBbLnktbLyaUuXe4rY6iF+aETQUx/NvMunQHJIOVUlIHILOz+uovf8b5t12PDGzR/gLm2B87rHznB6o7Pq9ZMzPuu5wEg8aXZxkIFfO1Qg7i+X2BdvAsghKjMDQpUunJBPlqTtWFMVloigGtkFvAD4SRbEI+Mh/rqGhoaGhMaFM9TIBM79/MotuuoRZl57Jsr9ePtnTmfKE5lip5Vs1PrONnk3Nirbesrbg8ezfHhk2xmOVFPMEY9ilCSX56HwW/P1E4pdKAjtpp8wm8SApPqz9Q0lAJZKHyt3j2OvnWjc2UbLmBXp3tgefYVIRk5lMvA55Bd67VTI2y2/6aMzC9caK2HmpABjiVdR0NIbE2dqn2l5111ejvlcgV27nMrkt95+SQQewtBmWNIePm+pMVvjlmcB//Mf/AVQCGjQ0NDQ0NMYPT5+d/voWTFPYqNOZDJhTE0lcWBgso6ARGVenLHzTX60MABqo6abl1XIq//qFdF7dzUCdVWH8hUruBwjk09neG4cJjwJBELDkJijO8/25fIkrZzBQa2X3n9apjnV32nG299P1Zf2o8+uq7vgSgN1/+BRnWz8eqwNjsoW8nxUz6zeH7+Wr2Xfm3ip7zitv/wJRFKXw23V1wfaA+M1UweWvhRgoBxGgr7xDEUKrEU7E3+Ve/LepqdGm/UI+NqSCcWhx4inJRBh1IvC+IAglgiD8zN+WIYpiM4D/p2qNd0EQfiYIwkZBEDa2t7dPwFQ1NDQ0NA4Udt7zNMCU9tRpjI5QA63mH7I+uejxsfO3HwbPvXY3O2/4kJ3XfUBPqbQlr1YsO5S0X43xZMcAQ4yJ6MIkvANudl7/AU6VmnWCSY+ry07Zr96m5t4NNL+4Y6+fV3b524Ak3pJ2QiGJB0+ePGDs3FTil0sr774d7Vg3NNKzsSmsn885NeLoRFEM/n26O+1Br6qj0caumz/B+k3jUMMPeAwJktJs4TWH7fO9BhtsumipMPl0ZyJewhGiKK4ATgF+JQjC0SMdKIriI6IorhRFcWVaWtrwAzQ0NDQ0NEaIq1taABuiIxcA15he1P+7VHn+aCkla16g8bkyRXvrG7sV58YUSzAnbTA+v4J/7j1jN8+xxJBgjiiEsvy/3yU6PwF3t2zsDvZg7g0ToXg5EmZecUjwuPru9VTdGR6Kt+mHr9Bb1kbjM9uovnu96n18bi/brngbq4pROBaIPpGtP3sDMSSXzm2VQmKdrdIfmLNt4stTTCcMsSb0MUZFjmXKqgKAUQumCEbIukU+Nw+9nzNtGHejThTFJv/PNuAV4GCgVRCELAD/z7bId9DQ0NDQ0Ng3ujbvwtNvp/WzUjo2lA0/QGO/oP19Sdqu9fVdcmNbGs2P+8VR7FHQlIXH5kTQqQt+uBrAkDn5OXV7g85swJAQRe82eZll29RCx8cjK2IfKSRwquSE6WPUfyl5Pysm+0K5eHnD01tpebU8KCwzmK7P6nC19lP/WKnq9X2l4+MaPD1OABJWZAFg29wCyHmQ7s4B9cEagPT/ZM6S1H/n37mawmsPw+mvmbjnP1tGfb/MGyDnLsh7EGa/NaZTnTTG1agTBCFGEIS4wDFwIlAGvA4EKrxeDIRLNWloaGhoaIwBru5eap56m5r/vUPDq+uoe/4DxfWEhYWTNDONsSRU4VEXNYS497pV8N7J0nFFEXx5BHpLZG+tu1FWy5uKDFafzL5gMcZkC1nfWwCgGpJY99DGEd3bY3OqtkfNmBqlNQRBIMqvBhpK6vEzSSzOCu0YPBQ94TmFgSLn46XkWf+IXEQ95dgCAJr83uNASOZULcMwVXB32YMe4uj8RJIOyWHGuQsBMGeOPoReZ4aMayHtMjDljulUJ43xLmmQAbzif5MYgGdEUXxXEIRvgbWCIFwK1ANaNVUNDQ0NjTGh7C+PY4iLDpYp2HbrowDYdskCCp3fbgcg9dDFRKUlTfwkNcacQIhh/i9W0vlpLX07VYpSN4ck07x3IiT0AAKWFNXUflwNYHt3HCY7hkTlxAfzAgEyvjOHzLPmyddz43HsCa+w7PP40IUIw3j6XcFyCImHZDPr2sOpfeDbsHHLnjwrrC7fZLLw7ycBULLmBQAs+QkIgqAo2j4QUly+9IKXKF4rLzvFkGrq4uDK6mNAYF4BomcmqV5TU2vVkHF32YlbpHyfxi1Iw5hiiehlP9AYV0+dKIrVoigu9f9bKIriX/ztnaIoHi+KYpH/Z9dw99LQ0NDQ0BgJzs4e+mubaX7/a7wOdU9D3QtSsWlPnxbytL9QcdvnYI+i7vgCcs49ItgeKI4duyANU3dIUSpbAlGpUl26jNVyPl3vZ9D5FAyUwrZpsIM/4/xFweM5t6xC0CuXdnN+f0zwOLpQNij6tiszX1zt8nvBuqGRkjUvBEMEQ8UpppJBF8qs6w4n/bQiivyvV28Zep5eh4eGp7cqy2B02hmo2becw7Z3K4e8hynZgiU/Iaxd89RFxuvw4B1wq+ZyGpMsdH5aS8maF/D0uVRGHzjsB1ovGhoaGhoaEo52a/C46d311Dyt7mYRPVKoXs6ZI9bu0pjCuKwOnNUe+ORYEAXKF5vAJ+3eZ54pea2iZsRhmWtSjPP1SLlh3g4DjgrwdMHuY6D2YmVR4uy/Tczr2Bt0Bh0zf30IqcfNJG5BuKicMTEktDTEo1Hxl88V/QLCHWrEL8sk/5cHDasQOpkkHpRN7sXLMI4w36/t7QpaX9tF0/PbFe0BlVRPv0tR/24kiB4fex7fFLxH6Pi0k2eTfHQ+gkFH0mHhuwXuTvuoy00cKAz4xX2MKkadJ6QG454nN0/YnKYimlGnoaGhobFfIHp9bP/rE4q2nu3VQ44xpySO55Q0JgBRFNm2qhze/A4MhBTFLilG0AvoQ/Lrel5WZp24/boZnf+F7XNgS4r6M1J/OtazHluSj8gj/7KVQ/bRRxuJX5IR8fpQ4X/6KAOpqwrIu3TFXs9xsjFnxZJ9wWLA7/mxuwFwNIeXgQDYcslrlF3x9qieUfeoLLQienzB/9OCyw8m78fLmXn5wQCKv8lQ6h/bNKrnHSjsvuVTQF11NTR/Vi1f8kBivHPqNDQ0NDQ0JgS3LbIk+Pxrf4Cz04bo8VDzv3cmcFYa403LK+XQ7BfFEEP2qmtnouspYM9zAlCEO7tKvja3HHbNQ/RHa9mGWbvrp7ntv+SR7yAYdOijjaQcnc/2qyQPduUdX5L34+WYUqMVhdv3F5Y+dgZehwdXxwDR+YnBkgWbL3qF9FOLAHD5SwksvPdktv/6XWLmypZ9QLHS+k0j/dXdZIeEuqrRGaIquuc/m/E5pYiAwcaIYJT+TmMXpJF8RC7Olj5a39hNx8c15P+sGA2Z0DxHfawp7Hqogdz91R5sx88kfnHkzYv9Gc1TpzHtcVn7cLTve90dDQ2N6c1Ao5wjlHa4LGeuMxmIzk4naclskpbPDbZnn3YEGtMPURTp3dEeXOw1/b0LesJzlAC83XK4Yc8//KGDBjektY/4eTl/V4gnTkuMiVEYYk0IOkGhXNmzsYmmtVL4obvLDiqvs+jmY8IbpwmGODPmtBji5qehjzYqjKu2tysAcHc7QABTWgzJR+Zhr7UyUCuHcbs6Bqi66ytaXt4ZUUhFFEUan92maGt/r4rOT2uB8LDBlKPzSTtxFrOuPYy01bPIOkdSKk08aMY+v+bpiiiKdH1Zj6NRFvVxtvZRftNHwXNLXvj7fOYVhyiMvYpbPxv1s/uru2n439aIJTymC5pRpzHt2fanf7P9r09O9jQ0NDQmmarHXw8exxbKGvTzr70weCwIAskrpByrzOMPnrjJaYwZ1q8b2H3Lp3R+XIPtQ+CrI8A5igLyh38FFjnUUBcTuWvMYZBxzd7PdapiTJGNjMBC1tVlx1KQyJxbVgGSTHzx2nOJX6SuDDodUcvJAik0VWfQYUy24HN62Xm9XPZk2y/lImbeAbfq+O71DZLHeITP1ZkN5P1kBYY4c/D50bOS8I0yh29/omtdHTX3bmD71e8F28queIeBKmnTvvCaw1RVLs2ZsSx7/ExM6UO8kYeh/IYPaX19V9DQn65oRp2GhoaGxrSn4Q1Z9GHR7y4lOkdeiJoSlDWMCi44ieV3XDFhc9MYW6rv+RqQaotV3BBeb63oA1jSFtYcZMVHR7HosWOD59H+VDRTntxntl9fxziF69PtC6GKmADdGxqwbWrBGG8mbkEaS584k4X/OHmSZjd+RDLqAgIyajlboQRKPgzGXt8z5LhIOXShmFKiD2gFTEeTnNtY8ZfPqLzjS8V1U8rQv5vhaHxmW9g9B9Pw1BZ8bu+QfaYymlGnsd9Q98KHkz0FDQ2NSaL1E3lxb06Ox+g35PQWMzqTUtpc0OnQGbSU8mnPtkVQEi4OYp4JxjTIvEE6NwxKrxEMOkw5RoQoQIBofwqTIQ1mvwnzSyD+RMj9J+Q/PL4vYbIwpcqCMt4BN9V/X6+4bogx7Ze1v/RRBgouj+yhj2j0hdDjL/MQykCVXJlrzh9X7dXcjMkW3F12rBubcLZHzg/eXwkNbbVtaaXHn/8YYNjfTcifa9u7lcFjn9NDx8c1tLxaTs/GpjCjbbDCqavTTsfHNfic089rqhl1GtMan0d+c3as34an78Dd5dLQ0JDRm03oo8xB405jP8Ojh/L5qpeMOdLP7L9CsQhLW2BJq9Rmni39FAQwZUsGX0ABc6AEEk6D6BXS9fRfgSF5nF/HJKEz6YOLZHeoQMp0Tx4cASlH51NwhWTYRWVL+YWBVz3YcIjKjQ8bX3nb52Ftti3SH1jx2nOJmx9eVmIkmJItePvdVN3xJbt+/8le3WM64+1XD20F0Jn1ytIcKmR/f3HweM/jsopo4zPbqHtI3vRrfmmnYtxg1deudbXUPbSRhqeVOZLTAc2o05jWbL1ZuY3qsvVN0kw0NDQmi9AdXnOKnEhvSo7HnBy+KNOYvog+EbwmeOXssGtpv5CMOJ1KmTJjunRtUUjKjKkAzAVgWTZu053SLHnodFKPm8lAjSwKYsk5MN4vxiTJeIvzqyRGz5as98GGw6xrDw8exy/PDB77QqTz1cQ1iteeS+G1UsH2nIuWjmxOIQalu8tOyZoXaHxmG327OylZ8wL9FZ0jus90xe3P6RxMyrEFLP/v2Qj6oU2W5MNzyf2R/Gb22t2UrHmBtncqFf1cIV5QR1NvUAk2QMDoa3+3Eo/NOdqXMalo8Sca0xJnl43Ob7bjdSjfcF0bdxJ9hrRL5nU42XzTA6QftYzc7x6Lp99OyycbyT7lcAS9fjKmraGhMca4ewdoekfKkxAMeoUoyswfnIzOqH3NjRW7/7SO3rI2VjxzDoJh4veERRFqLvTBx+EF44veg9hR1pHPexBED0TNAV8vZFw7RhOdRujM8ndh9KwkZlyweIje+w/xi9KZfcORxC/JIOmQbKJnJgFgTo+h6HdHBwVRQg2twqsPY/NFrwDg7rZjTpOEORqf3gpA6upCxTMSD85m1m+PIGF51ojmpJbP1/JqOS2vSgIsPaXNxBRFKKS4H+DqsmNKtmAPUR4FyPvp3pV4CBQsH0zAoPc6PAqDruCKg6m9/xtFX0dLH7EjLGY/FdA8dRrTkpr/vU3z+18HzwM7OK2flgDg6rZR+7ykXtX2+WYAGt/8gtaPN9JVGlmhSkNDY3qx59VP6fi6DJCMOH2ULG1tyUrFnDrNC4xNEUSfSG+ZpD5iHZTrEtbX68PVZcfZ3o+rY+S1z0SfqCoU4W4FnwOcFdD9rB6sSYrrOXdJOXC6UQhgAkQVgWU+CHrIvg0M++96eUTkXLgE3SQY65NFwoosBIOOuIXp6KPlvNv4JRkkHZpD0qE56KMMJB+dz+wbj0QfZQjmIvbvlrxmnj4XrW/sBsLl9gVBILF4xohzE4fPGdt/Q2NFUcRea8WYbGHOHyQRH32cicUPnDaqv8nko/ODsbT9lV1h140pUt6iKIrU3LdBcS3p4HBVpOnmqTtw3r0a+xWeAYfifPHNPwket32+iW23PoZ1ixxnI/rEoFev9tn3J2aSGhoa44435LNAy58bP0IXN8OpwzU+vY1tl71J2a/eVsjBD0fj01vZdtmbimeJImzNhKqzoWJ1+Jjl/Qemh22sCPX8jEQk5EBk5uUHB71ts34r1basuXcDPZtb2PJjWQ3TkqteK3GkDPf/H6mcwv5A+/tVAHh6HMQtTKd47bkse+xMhaDPSDDEmlh4j6Ta2l+hNOqK156LOS0GV5edjg+qw4RYdObwqI7B+XZTHc2o05iytH+1ldZ1pcP2i52VgzFOrk+y55VPw/p4+u10b5ne9Uc0NDSGxpQQN3wnjb1i2+VvB49r7/8Ge4NNtZ+1pInWN3cr2kSvT7XvYLq/lhRLQr117k5prO0dcNUr+y8sB93o1nwag0g6Ijd4PJycv4ZUdiDAYE9Q3IK9E0gJMFzZg4Gabqru/BJPn2ufnjMV2fOYJGwieve9+HfAOLZ+0wjArOsOZ+njZwavuTsH6Ppqz5D3mH3jkcy+4UgSVk6vYvCaUacxpRhoasfdN4CjvZv6Fz+i4bV1tHz8LV6n/CE20NCKs02OlZ71o9MByPve8RHv67IqFyChwgoaGhrTF9EnGwzGeG2FP16ILqV3btfvPsbRaMPlV050tPThbO+n6m/hdaACxtpgfG4vvTvbEUURW1kbrnbpXjX3b8BtlTywfd+oG48AUXP36qVohCAIAvNuP4EZ5y1U9VRoKNHHyGGaoWUM5v7pWLXuo2bOH1eRfvocAGLnpQIw4/xFxC20BvwkAAAgAElEQVRMo29nB9Zvm+j4qHpMnjUVyb8svETJaBlsHCesnIEhVgrLNyVbcHXZiQ4RZCm85rCgGmqAmKIUElZkTbuNDu0drDGl2HnX/zAlxeHqlotQNr75BW1fbGbJzT+V+tz9jGKMIUZ60yUumU39ix+p3ndgj7ISbfemXSSvmDeWU9fQ0JgE3L1yzpYmgDQ+qIVbegfcbL/6PUAKa9p+5TsRx9fcu4HomUlEzVB6Uhue2kL7e1VknDGX1td3Bdsde2xs/dkbFK89F2fdyLx8GntPTGESMYVJw3fUQAjJa+spaQ4ex8wdm4TMuPlpxM1PI3eQYqbCK7if7UmHbrIPV7Zgbwj9nRmTLYhuH45maY2pjzWRdGhO8Hrq6kI6PqhWGO/TCc1TpzFlCHjjQg26AG5rH+3rh64ZEjDuQJIyD2WwsWdv2b+lgTU0phP21k5KrrmHkmvuoX39Vnb+41laPt44/EDA3dNH6qGLWH7HFeM8ywMXd7fkNcu9RF37v+PT2mHvUXXXV1T/42tFW2ChGmrQDb7e9HiVstHsgLNfYsX+F4GmMU3J+8kKheEw3kzHothDEci7zTxr7DbaF9x9kmq7KUVaJ9o2SQXkl/77O4rreZeuYPkz50zo73Ms0Yw6jSlDf23zkNfrX/gwqG4JkH/+icz79feD54IgUHjx6WSecDBzL1/DrB+foZA3B5j5w1MB0Jun5y6Mhsb+SP2LH8vHL3zEQH0LjW+GF/gdjKu7F6/diSk5AZ1BCzwZDT2lzex5YtOI8t16t0mFlc1Z6jmLdQ98qzjXWcJ/F44GG92D8ljU6nsF6U6k4upy2LFAOjc7IKYPjvuYwt8cjKB9hGtMEnP/fJxcrRxIPX7muD8z1MZoe7cycsdpRufndbg7pRxar33shGAsOfEkH5nHrN8crmgfLEYzuPadoBOmtQKs9i2oMWWoePjlYfs0vP4ZAPlrVpN68MKw60lLi0haWgSAKTF8ARI/Lx+9xYzLqhUp19AYTCAMZix3KUWfCELke4qiSF+Ves7VcOx+8EXpHu79a+d6Iqi8/QsAonLiSVs9a8i+dQ9Lm2mmZAszzl9E03NlQ/YXDDosMxNxNPaG5eKJXp+0QhVQXTyln1ZE21sV8OFqFCPPeAOAZU99d1hBCQ2N8SR2TgoJy7PoKW0m5+KlwxbFHgvST5+D9VtJrdHb78bn9qIzTu9wc1fngKIu3HCfQ6Nl5pWHhLWFGnVxC/dN2GYqMn3NUY39CtvuurC2hTdeErG/MXHk0uUJC+RdNIMlCq/DSfuXW+jZWTuqOWpo7O+U/+NZtt366JjdT/T6KD3/RZqe3x6xT81/3454bTicHVKRWnO6lg80GkJz5Or/XTqkxyxURt2YbCHr7PkUrz13yPvHFCZhTovBnB4Tdq30+y9Rev6LtL62K0xyHCD7+4tJP149zBOGVwjU0JhIAoWsx5u4+WmK910gJHo6E/oaMs+aF1bnbzwI/X3lXrJ83J830WhGncak4Oq20fj2l3jtThpe/4zOjTvD+phCak4NLiCsjzKP+FkzLzyF3HOOY/HvL5Ua/OuX7i27Iw/S0DgAGdjTinsMvdjuHqneWMsr4e/vAN2bI78Phypp4u6TBVLGS/So4i+fseepLeNy7/HG3mCj+ZWdqkq/gxeEgULKagTULYGgghzAvNtPIP+ylSSGFOydf+dqEg/NYdZ1R5Bz8VIKrzqU+XeqFJcDWl4tB8JDNXUmPXTFqw3R0JhyCBMcqpf/82IAutcPLck/HQitATdRNRJ1Bh1z/nAMhVcfOiFG5ESjbXlpTAoV/34VR0sn/fUt9O5WFh9KLp5HysEL0ZkMpB6yiMTFs4nJz2TL7x8K9onOGbnbXB9lJv2IpcN31NDQAMDZ2QOAOWXfvvScTeGiR6LXR291AzqjgdiCGejMJnxOFzH5WcTNyaPz2x24rb0gQsNLX5B+5DLV8Ka65z8IHo9HUrvP5cW2pRXbltYwJbrpwO4/rcNjdZC2epbCGPO5vAxUdyv67rr5k4jet4ABmH7KbEV7QDGxb2c7ANk/WEx0fiKzrjkMAHOa7KWLnZdKX3mHYnzAA2hKtuBolP5OMs+ahyjCwGfK0Pn8x0VsPbmkn6ycg4bGZJFz8VJEUSR+ScaEPjdmjqSy2fj0NjLOmDttBT1AWY9yIolbmD4pz50INKNOY1Jw+NUnBxt0iYtmMfMHpwTP88+Td3nnX3shO//+P3LOPGafRBGSlhbRvaVCUd9KQ+NAx+eR89LK/vI4AMV3X71P99z9p3VhbZWPvoptlxRunXPWMfj8qrfzfn0+ANmnHE731kqqH/gQupKxN3YRnZca8Rk5Zx6zT3OMhLtbXnB0fVFP8pF54/Kc8cJjk7yk7i67wqiruusrbJsl5be8n6yg/tFS0EVeGAY8demnFg35PH2MKeK1QA2vvvIOdt38ieJa8lH5ND1XRvJReWRfsJjG/4O+d5X1BlMvEUjl0CGfr6ExkURlxVF041ET/txQj1bbm7vJ+M70LdYY6qmz5O9/XrPJQAu/1JhwIhX+NsRaguqUakRnp7HwxktIP3rf4qALLjgZQ1w0npD6VvtKs+1eShpy8frG7p4aGhOJ29Yf1uZzjZEAiQg1//yGvl0dQYMOoCNCmRJTQiy4jYBA3bOfqvYxxkueoH39PIhE6C6ytaRpXJ4xrvjttNa3lOGtAYMOIOnwXPTRRuKXZLDnqS1Yv21U9O2v6qLuQam0RKTcIZ0/x20kinGx81IpvPaw4LkpNZrM785j8QOnBYsOd/1P7p//rJP5OzQRHA2NAIaQzRPb1tZJnIlM3SMl2La10rR2O52fhesjRMLVZUcfa2LOH1cRN3//Ey2ZDDRPncaE0r+jD32yulEXk5eJzjj0n2RUWuKQ10eCzmggJj8rKLIwFjTZ7gLA5viEpOjTxuy+Gvs/PpcHW0U9xthoYvIzJ20eA3vCFwhuW19YPuve0vVZHdYNDZiyc3E5GkAnIugkQyD37GOD/Tx9LqzrW8ErKbsN1LbL1/odOLusGGKi6a3cg2VG2riFH4XuIpszRi7MNGXwf8x2flJLwS8OAsIlw/UxRmIXpOFs7cO2uYW2N3ez4tlz6N3ZQfTMRMpvlOt76kzqSnsz1ixE0AkkHZ47omnFLZAXb64dMeARMKXKnrm446HzCYhbDannjzx3WkPjQMGQYMbT4yTC/ngYbpsTd5ed6IKx+SwPIHp8VN29np6NTXR8WB1sTzk6f2Tz6rITNSNOM+jGEM2o05gwRI+P8p9swzLHDMnh1w2x0eGN44QpIXavZdSHQkTbVdYYHfUvfUTntzsAWH7HFZNWb636P2+Ftbms+2bU6SwG8In4nJLaos/pxVUN6DMgqwV7s5RnFShDArDlx6/5j/w5WV49PpcHnclAxSMvK4zPUGXbscblr50kmPS4rdNLaU4URdRWfDX3bVCcC4KAKdlCz0bZE9n8SjnNayOrlQ7GEGcelYqcPhAK2pkM61bR9AfIvk2+7ukEy2KY8/6Ib6mhcUCRfmoRTc+Wqb7H1Si/6SNcbf3DqtaOlj1PblZ8dowWV5ed6P1QrGQy0cIvNSaE3qoGSn/4PAD23U7VPsIQeR1jjc5kwGt3UnbbEyPqv+UPD1NyzT042iSBgQFXGaUNs3F5Gqnr/m2wX03X5eMyX439l/46ORxu0/X373XI405W0sxtw3ccBe6evVfC7PqyDp/dgyFJJdfKa0Bvlr1fhhhpQ0c1NNtjwNXTR/OH34R5E43x4+dBc3fZ0Zn1WHLiFV67qYZ9Tw+lP3gJZ4v8u+r6oj7oqTMkyN6u3h3tg4crVee8Opp/mgXtyhzG5CPzqP8VVJ41/Hy2z4e2+5Rt7mYojYa+r6HzCQFeOBc+Ph6Alr9CiQCiBzoeh57Xwa4elauhoYEkKATQu62Njk9rh+xbdtW7uNqk0PrQ8iR7g7vHwaYfvkzv9ja2/vwN2t+vUu3X8vquYe8liiLuzoEJU708UNCMOo0JofmDDVBXoGibe/kaAFIOWjDh8wnkD400BDOQf7f99icpu/9eWm3/QcSJ1fEhHf3PKPqKolftFhr7ET6Ph/Yvt4yJ2I6jTVmrq/NbpZfE2WVj94Mv4otQYNuHk90cxwAlNPF/eNk7Q0zwhz7Pv/ZCCi+SQoi7t1bQVzvynVhHezfW7dIXfe1DUi5WpBIJ3qpE6JWMMtvWVto/rKb0vBfDO/p0dKzfStPbX4ZdMkRHjXhuo8XdZceYEo0hzoRtcwvO9vCcw4mm9c3d1Ny/gd6yNpwtfVi/aaTj4xpEt4+yK9+h9e0Kau7bQO0/5YK+nh4nbr9ois8u/w3NvvFIQFKfDNIXC9YkaJfDoeIWp5O8sJj2B6DnNYbENwCOctjza/A5oPO/4G6D3SeAaIe2u6HuUvWxLXdEvqahoSETGnJe98C3Efv5XF6FAvHmH71K88s799q46yvvwOf0svuP64ask9f4v60M1FmHzPnz2T34nF7NqBtjNKNOY9wJW/gK0nlMfibFd19N1kmHgSCQetiSCZtTxqqVqu1q9pjXofQsOmt8ODdHgU8guB0eQueAysJUY1ojiiI+jzfoSWr56FvqX/qYrtLhdySHwmMP/2Ksf+ljhceq7M+P0Vuxh8a3vlC9Rwt/oxdZUbCBa0c9j0C4XsaqYqKz00haNged2YR1WyW77nt+xPfZfvuTVD32OqIoIiJthBhyhghd7EkEESpv+5z6R0rU+3gMtH4Sck1EftuNo3Pf2TGAKdmCbYu0MCn71d4XSR8rGp7aQtfn9ez+0zp2/PYDqu76SvER1PDkZrq+qA/Wzor1569V3fElzjbZKJ3zx1UkLM8ClJ487BblT59A0Q3HUHmCHBIsepRRX6IXRB/4XOCsldtrL4Hai6D6PHDskNujV6i/tqb/A53f8Zp+1fD/FxoaBzJp/vIe0TPVw+NFUcSlshHV9FwZe57cvFfPDITRhxKVG8+8208Ia9953QdU/PkzxXxEn/zBERCiMqVoRt1Yohl1GuOKo7WL0t/cS+/OkPw1QQQRBL2UeG9Ojqf471cRkztx9V6is9PIWFWMYNAHF9B9X0CpQQoRCsWlEoLW/3Yy/ONq7M3dmA0FJFm+Q7RRMko9vq6w/hrTm5aPvmXT9ffR/L6Uk+T2e269KkbZaIgU3rjtj/8GoLdaft+0fbZJ/R4oc0NdjD5X1DvgRPR4MSbI4YymhNGFNvo8nqCBUfHwy+CUvGi6WHHIb5qYmPDNnOwLQ9pcZuj11y3zCdCYI3mUYMxEXAZj39PDQGUXA3VWpdEziXgdSk9twOvW9nZFWF/R7cOSn0CyX7zE3W2n7HLZKA0VJjAmhng7Q426mgJ46XuUDoqeLTVC1ZnS8UCp9JlZqodNZtixUO7X/Zy/zzfK8fqUIV6kD6IPhtx7huijoaFB3o+Xo48xMlBjpfvr8M/8ugc3sv3q91THBsqUjIbOdbWKCIAAjj02TEmRIyZ6SpsB2PPYJkrPlze8AyHtmqdubNGMOo0xp/21VraesRHRK9JXJ72hcflXBjov+PTknXPS5E3QjzEhFtHjxTsgLcytb0rttkEJ+kPlFXU84sHZ34RBl8Ls1KekRlGrf7c/4WjtCob+Nb+3nqrHX6fjq60AtEeQ5A/FVlEfsV/nxp0AZKwqljzWfgLhwT07aoa9vwHlKtnG23ixDTsulEDIpDFBLhgthriARhJm6u6Rd4VDN3GcHVZIb4a0Nojvgcxmxbj+3eGbIEmH5lD0u6NJWDnDf0O/UWeLl372xZK0tIiUgxeGjR0Lml6QXEveXheL7pPqZsbMHcoaGX9Gm9dnTLKQekIhAK52eRE3+yZlba3omUnySahRt3N+xHv3vAHlh0PvJxG7BAmt8uKxgjukasLCcsi6RdnXlD38PTU0NMDbL4VRqpUR6Bwm124o2t6tpGTNC4o83Y6PI38XGZMs5F+2kvl3rCYqN15xrfL2LyhZ80Iw/67zszo6P68LevFMmlE3pmhGncaYU/+3atwdbvq22Rio94tABIy6VEntLjotZ5JmJ2NKlHb7XRFyfgIMed1rgJJiBtxbMOpTEIQouuxvjOU0NcYQ0efD2TU6g2fH3U8rzq1lcnK4o6Vz2PEVD75E/Qsf4nW4cPdJK1zb7jqcnT20fizlnaUdsZQZJx1KTEFWcFz/nlYG6pU5CYOFRLzY6OaVsGe2cvegfv04fFV4vAGhn524vfLc656TdjKMIQq0Tr8oEMieSZBCRj394R5KV4+cuxEoR0CU3xAxeMHsgvheLPnJFP3fUehjjGH3CGBMthC/JEMWTxL9X1V9ccE++WtWj1s5A6t/53vmVYeitxhJOjwXzyQrYLpGadQJBp1SfMppAreB6MKksL75l61kxpqF6PV+z+dANKSFi6qE0r8e+jcM2UWBcQa4G8DVIIVZZv0RouZC1u+V/fTx6uM1NDSUBGpEqoVZRs+S3+dJh+dS8MuDgue9O9oRveobdQO1VvY8LkWFlF35Dj5PeL+kQ3OCm0MFlx8MQOpxM4kuSCT1uKEViWv/+Q2198sev0j1LzX2Ds2o0xhT7LXy4q/98+20+z0aQaMuVjKQPN2T780KhJoFPHGBHWVvj7Jf0FMX4/85e1C4k8dAkkUSlhBFB3b3djr7Xx6XOWvsG03vrqfsz4/hsvYO39mPGEGgJHh9CFnp0NDd7bc/ydabH8ZWUU/FQy9T9pfHg9cChbTnXXl+ME+s/J5n6K3co7ifd0CZ37mZBJyE5/X5UBoAuzmG7S1HsaV5CVb7++xsO5GtzcvCxpmSZKPJECN/2YZ6q7fe/DBbfv9g2NhQT13AqIs/OLx2ib2xnfilmcz5w6qwawEChazjFqUDkoFS8N2z5XmmJqC3jH9YZNLBktvIlGzB1WUf8nc93gQ8dbmXqpcPWHiPFP0QyLEJs3dfPxPeOwlDXLgaaepxM8n63gIMer+8uMtMwhLl4mzmM2HD6H4hvM2UD+m/Dm+POQQcu8Bng6zfwYybpXZh8Cpk4kSQNTSmNYHakPa6HqyDSgsENnTMGTEUXnUoKasKZEPPK1L19/Vh93PbnOy8/gNF2+Bc5/RTiyi85jASlmVSvPbcsJp0hrjRfS5Hqn+psXdoRt0Uw+4up6rzZ/hEJw53DRXtP6Ci/QfY3eF5E1MRZ6O86Ox+VpCT+P1G3ZwbTgXA3a5e1mAiCeQMBRbegbCgtruVQgBN73wlHVzyBFz2IIUXno2CjQeRHvszRVNt9681FcwpSMuH0g6hy9pH99YKSq65h9bPSsP62SrqqX3u/RGVF/D0R/agBDxgIIdUWrdWKvrEz81HZwypTadiNxR8/0TpHkOEAi8OyaVr5Y7gsYNdDPTuAp/05VnVKUsMOj3SGEt2GlEZyZhT5By1xTf/hJwzjwl7bmCHt7+uher/vh0MzQz0iYqaDf2SkaqPj/wFH12QSNqJsxRtM85fxJJHvhM8TztpFrHzUzEkmOkpCQnb9I2vcaWzGIhfnhkUHDEkmBHdPkrPe1GR7D+RBIy61FUFYdcKrjiYqOx4Ft1/ClnnSGrCgV38nB+FGO/26IjeTW8/ODfJRn3P6/K1OZ9B8veHnl/GtTBvIyzYBjl3waJaMMvlB7EsBvx7ecZBIZZLWiD9SulYF4OGhsYIyPuJrDrUXymFsftcXkrWvEB/RRfxyzKZf8fqYJ/QjbRAfTm31UHl7V/gsTlVQzY7P62lZ3MLfTs7MGfGkvPDoQXtdEbpM9NSkEjKMF47nVkz6MYazaibYtR2XYvV/g4Drm3s6bkFm/MzbM7PqLf+32RPbUQM7By06OxOgo4U2JMHQMxcadHY+XY71s+6sG3sGXyLCcMYHwMCuHt68faANcS55ukSabH9C6c9JAHE5CY17RyS4k+g8OLTIEY2TAMLpfwkeTHd2HP7uL8Gjb3Dbeun+kkpibLh1XX4PEoDvOLBl+j8Zjt9NY1qwwEp/A+g85vwQs223fX4PF5su8JzHdq/3KI4j8nPVJzP+cX3FOfJK+djTJUS0RUhjiHoScZENvOQ5a1FPHTyFOUcKqlMqrDH+jtEnw97YzuxBTMU13RGA8kr5gLQVS553EWv/P9Ufu+zdG/ahatbCme1bqsEERyVDnBYQIDc7x6BOS2RuDl5FFxwsvT6LpcL4MbOl+uhpZ9aRPqpRRgTo/DaoO9L6X0VOz8Nd7cDb78r2NfVPoCoEhY0Fnj6XfjsHmKL5Bw6b0gpgEDif195B93r94SNHy9cnQPoY4zozAbm3yn97S2460TST59D0mHSjr05I5aEFVlknD6HnIuWApB2QiF0Dy8oY3tXvT33fojzp+EVfQR5D6qrU8YdBzHFoI8DwQDmfJjtj0SPP1EqKh5AF60ca8yA7Dsg/WqY8cdhp6qhoYEc0QBgr5fWUr3b24JtUdlx6C1ymLs+ysDcPx0LQPzyTPqrumh8eis9pc20f1hN4/+2qj6n8rbPATAmRSHohzYbEg7KJv30ORT97mh8Tvlzc84fVxG/XPldN19FNVNj39CMuimKVxx5eNhUovnxQSpMu+dCpbxdG9jF6dvSS9UNu6i4cgc+x+R4tAS9HkNsNK6efqrOVV7rqv6CRtvtlD0uF3MuTHmE/KS/ApC0dA75N8hhB16ntOBMjZG3s1v7HsLu3jfJe42xI9TrNtjjVf/iR6pjKh5WD6Od9+vvY8mSFv2NbypLDQw0tFHx0Es0vLZuRPMyDlKZjJ2ldGPkr1lNa8ItANh75BCbUCGTDK4BIAa5VEc9v6CWi/ESuRajQZdC6ydSXt9AU3gOVaAoePd6yThteP3zsD5u2wCiKNJX0yTn0gGGOCPGuGgW3XgJcy47h5SV8ym++2riCuV82lDls9wfLUPv9y7VXAC7jpSENUzJFvCJwdICif6QyD1PKY3jsaLqTskzH5pzkrhSNnir7vgS0Sey6+ZPqL7nawaqu8PuMR64u+zB/6/o/ESK156LJS+B3IuWKhZ3gkFHzkVLMSb41UdNevhQ3q2PFEAg+ktXmWfLbZZlkH65fB5/HKRdJqlTpl2uHD/Y+wZSzlyxCEXvQdJ5cnt0eOQvOjPk3g2GydWj0dCYVgTEkAKeN587ZLNLxSsfOy+V2Pmp+Bweym/8iM51/o3HQV0TVmSFjR3OoAPJ0My9aCnGeDOpx0qeutj5qcTNT6PoRlmkacaahURlawm0Y41m1E0hRNHHgFvaKXF7WwdfHPPnOdyVlLWswu1tG77zOOLqcA3faZwwJcTi2C3S6w8jN/o/x+x7/GIaTf7F3JGfY9Ird5lSos8n/zxpp6n5A1kxYF76W8Fjt7eDjq/L2PKHhyctbEtDIjS/bc8rStk+a1kVpdfdR1+1umdu7hXnseLvV7Hizl+z4s5fE5OfiSFOdjeE3q/+5Y+BcI/cYKIypdXr4NIBgk7HijulpCRBr0Nn0DMQLxlTjWu/CYZ7epBEh3K4m0xuCo5PQQqv7OYlqcEeLjdtNhSiF+IRBBONb0nKnoG8PuVc5G/6kmvuoe3z8LIK1XW/kRRkbXHQIi8EPLbhC9xGyr/o89vJ7qZwyevAefu7laqqb3vLlktfo2TNC/TtkIxbQ4jUf8zsZAqvldVJt/0q5D3eMzECKq4u+6iU4hp+C7uOCm8vNUDvOig1gTskotXt17SaF5JqM+vVyPc3+ivQmP0RtKZhtK/iQuZiLhy6r4aGxsjI+6kcghn6+QVgjBD+bkyyyGscP03PlinOU1YVhBl6o60pF78kg+VPn82cW1YF2wLhm3qV3F6NfUcz6qYQDT23Bo9beh/E6akNnosMn9szWvpcG3F6qhhwhYeP7Q0Bo8UyK5r4s8IXdEX3qEtku9smz6gzJsZhf2aBfC5FMTHwpQXqc8HuX7gXl2AcZNQJgoDOIIU2BFQMAcz63OCxx9dG3doP8PQO0PLhBtVi0xpjj+gTKbvtCRoD+ZCo56NZZvjrdflERK+Xlk/VC2DHFGQhCAKCXhfcrTQnJwS/9No+l4u59tcqJfvTDlfPQdAZJK+WPlr5RdnPRkr1evjxYyReX0sTt+AxyMbLQIO0CROoT2ciHyHk2zeP+wAwIImMYJVD74wJcRQk3cOctOfQCVF09MrKngUXnEhb33/whmjQt/Q+CHlDG07usmRadrwFtoQh+6lhyYknZVVBmMx+gJ63QB8thw8ZEszkhNSwq/3nN2OyWdJX3oGnV/k5lHaC0vJIPEh2Rbk75TzKvvIOdv3xU1WVuH1FFKHjUSl0MdRTF7zug8rTof9b6HxKMsx8A1B5BrTeIRnHJSopdA3XSJ653hBnsrsRhChlHTnTjPCxATKug9x/wZx1UPC/kXnY5nwC874dvp+GhsbIGJwj2/Z2hRT6/uPlpJ8+R3WMKcWCty/yuivvJytIPDibhf84WdGee4m6SNNQ6Ix6xRzTTiki99LlYZ+vGmODZtSNMz7RgRhSt0wUPYrzAC5PE219jwbPnZ5qnJ7q4Pl4eNPcXmlr1uVt2idRD+k1iniskiGXemY6uozw8NH4Q6TFZdYlyjgdV8vkiaYYY+LwlctbzDl3ST/tX0bDiyExmXofRl0ag4krkgy40BA6nRiHDmmB6/TUB9ub3l1P3XMfBIUlfOLkquntb4heX/D/s3vrbpwdVlo+2BBsc3aF52+6e/uxzEjD6/D/Dfp8iryxAJHEJQovOk1+viiqPiPtyGVkf+coLFmpJK+UNjbSj17OjFOPQB9lxpKpVIgsxy89vWg73Wn/oBllklEg1NeF5FU0oXw/6YgminmyKqZRel/GpS9GF+cjJeZ7mPRZuH1tUD4vOK6f9eyx/o7GHink2Cc6pOMFO1Rfe5DqWbQ+E55blnjIyAqOFfzyIBKWKTdMAjZq4/WSoEqAohuPClNL6ylRqr7tDbtuDi+4NjjUSNAJ5IfIgo8Ll8AAACAASURBVAdoeaWcvu3ttL4x9qHW9i1Q91Oo+YGIu8uBKUXaZBJF8DnB+pJk+JYfDLUXQ9U50HSLVEduKFz+KHlvrxwE4qyVasQJAmTfKQmbCJGrTqAzQ/ovpTEpPxjZ64lbBTErh+2moaExCkI9YQCmlGjST56tCMsOZaiC35lnzSPtxFkIOoGorDhM6VIEhyHBrNhg21t0Bh3pJ80eUSinxujR/lfHEYe7kk2NRZQ2yrlXpY0zqem6Mqyv26dutKXHXkpG7M9xe1vH3ABw+UM86603sKP1xL26R5/zWzY1FrGj9ThsTdKixp2wG49N9ooU/G4WxV/JoUszfppH8VeHsewDqb5J7Z+rRhSqNdZ4bdBx/rHB8xW+kBChDYeG9RcEQ1ibMT6GuKJcTImSapzX4WLT9feTtesJAJpsdyn6W7dVUnr9/XQPvM2mxjlUd/50jF7NgY3oEym97l4aXv+MvupGap56O3jN63DS8XVZUIky/Rg5XCW2YAb2kFyynh01VD762oifa4yXjfnGt76g7M+Ph/UxJcSSeexKFlz3Q2ZecDLFd19N7lmrSJhXwLLbfok+Sg6R8TK8cJC9R1qRu/1GnZFw48lBuXQgIomWABbTXNw0KHLxAsWmLVmpVHZeDEB7/3+wOb5gU6M/FzZW6eGMK8plyZ9+rnygT/4qKV57LsVrz2XWtYcP+1oiEbrvFbqQUKuxFsiBGwsCBcZnrFEvap5yTL5qO4SHL40FO/0b47b3BHjx3OBirPlPsCkKqtco+zurlCGVoeTeLx97/F839T+D1juh4wmwvihfz/wNLFDXTNDQ0JhixC1IY8VzssCWq2NgiN5gTFSG5BtDwiqzL1isuBYQM4mdoyW7Tgc0o24cae79l+I84LXptr+mMNCs9g8pb/sOahj1mRj1WYg4qe2+hnrrzXh9YyOi4vbK3/4Oz258ouwxs7t3UdKQS0lDLu19/6XBeluYN6/yPy9Tu/5x//hKOt6Qdut7nd/QV9NE/Hk28v9vFsmnhHu4APQx8o67q3lsQjDt7nKabP+IaAC3Pwy2j6DredgcGi02o1GxuAeg3u/Bu/RR8hJvIxKmxLigKmGg/lnjW/6kIJfKzpbPR3WXtCi2Ot6jqedu7O7dw784jYh4/EW929aVsuufaxXXesqq6PhGXnDnnH4Usy49kxmnHM7MH54Sdq/BipXzro6s5R47cwbxc6WFfmgIbuws2furixp57kAV34188XdSeLbDKr3PXDQAOoxkRh4TYmwZmYGPfuxsRkQkKelEWLcKgKQLlZsqnQMvySfRIQuEpVuY/ZOz0McIcN5zMLcceuKhWYrTy7l46fAvchh8TqmWGcgqiYsfPI0Fd58U7LPoX6cqx7jCvavO1j4an9kWDM90NNooWfMCu29VCtg0vyh7IpOPyKPo90eT+d15qBHqsVWr9zaWqNWAsz6UgeiG1r9HHtf1P/V2UwHkqIxr/C10PCIdeyNXzNDQ0JjChOY/D9t3kJcs+/uLyf95MQvvC/8+NMSamHvrsRRcccg+z1Fj/NGMunGka0De+vT4uilrOSJ43u+SEgtcnmaqOi8JtmfFXUV2/I3Bc5M+IyjQ0TXwIu19T9Da95jiOV5fP73ODYwGp6cWl1cZttRi+2fweEerLDVbb72J1r4HGXCX0TXwGh6fFZ/PQ8/DWThvugg2FsPmpfS9Ie2i978r7fpE5ZtJPS09YuhaKLYNVtyjFExxeurCDM3d7RfQbPs7XlFd8a/+Mqg4AWrOH3ShsJrdD0irKEOB32jeuhTjsdUYkgykxAzaEg/BmBCL29aPo62L/vqWYLu5+Wh492T1QSE2Z3PvPVR2/Cji/acr9qaOURX53hdcQ9Rvq332fXxO2WgR9DoSFxaStfoQdAYD2acfqTouf80JJK+YR3R2+pDPDoRUhpJ3tuQBTjlowYj+/gP0IoUBCkQRy6pBD+qG5E4cPW2IiPSzHgPJCIR7kLP4vXTgka7FRx2LF8lS2sUxeGiju/GzYP8m7x8U4036jOCxOS0FLP0Q0wfHfYRHaKW26xrIboLZldArK5hFFelwuCvxiZFr9w2Hq0b6acyW8sMcFVI4kSVHfo45LYaZV8qLjEANt1Bq7ttAy6vlOBql1115u7TR0rutDdHjw9U5gKOpl6a1ck6xoBeIX5wxZGhQwJs3/2+rw665uuy4uux4evctpFz0hXvhAGwvxdD7KYxkX2/2m4BeCqNM/K6kXJl+tXrf/q+ln1qNOA2N6U/uj1TkZUOIX5aJYNQRlR1H4kEzSDw4m9TjC4nKjFXtHzs3NahMrDG10X5LE4CAmS1NSrGEXe3nsCjzS4WhB5AVfzWCoKNz4EUcngqM+kwElDvCgxdMm5ukXeU5aS8SZx5+N8XhqWF7y9Fh7c29/2BGwrURx+1uPw+fKBVQTvH8DPAbfnf8VtnRn8OjJqcbicaH6ml8qF4RpjkUTk89ZS1HkhV3lWLOXp8Uvub2tmDQKUO1fENplJhc6MzS/7Nn2YdQ+12omENB/F3Ez4hcQBn8+XQ+ke23/0c5x2eHSB5xmcAsG7GBee8viF4fO+76LwDFd0dYSY4hQxXlBrA3S0qRGccWh11LOXhhWFkCgIRFs0g9dHFY+2AGq1cCRKUnj/p1dyK7WBawlSiKaOQmWpDKaGRzJ40Jddh7umnhNnpRL8MAkMpPaeZWaJcM0qy4K/EiFQrTEy+Fbnoi50e0hEQZLMr+iJIKv9uoLp9tghyabLYeSqj5Uuk+E1ptxEcdS1HqUyN+7aGU+z8CjDMk8Y7tc2C5Q8rhCiX5yDxq7pM2s1xddsyDFiSefulzKCCA4u6RZ+q2Otj2y7cYjCVveLGXebceFzyOnpXEQFU3M85fRNNzZWy77M3gteK156oNHxHNf458zTcAggXU7GZPiGhywmlQrKKvFWksQNIQjmINDY2pjSktGlf7AOmnFg3ZTx9lYMXT50zQrDQmEs1TN47o/UaFiPqubWf/i2FtgqDzj5UWFwZdIib9oHohId4pUZS/tRustzIczbb7aez5W8Trfc5vaO9Tj98JGHQAnW+2qvbB5AyKHOhMwyfVLn1bafgMVPZH6CnR3vdfmm334fJK+UQ9jnCBA4Cqv26k5yupfpQoiuxsPZUtJRG8ZgAGD2L6Hmqffx/i5G3wgTLlqsjn9FJy+Hr23FsbbDMlxILDDOVzwTtMYc6j/KIPfeo7YvsLu+5/Pnhccs099OyoHqL3vjPYqCv6+dks/v1PMKfIi/SozBSyTw33yhljo1nwmx9iyUpVtBtiJI9zZcePKWnIpaHnr6rP1kcr8xMW3nDxXiWB9yDnAUYhfSnP4FYWUclcviKDayGhB3oSaOJ3Q95rcEimQZ9CAiehI4YYDpJCNzuToSEHMlpU72HS55H64QuUrAmJA2wL8Vp2J+J8ftCOsP+9Y4vwvhwJXr+T3RASte2OoIUSEAjYfcun1D74Lbat0ueS6BNxNklzaVq7HdHrw+eQ38tqBt2s648gdm5qWPtQzL1lFUv+/R1V4YGezer/r5FwNUHFqZLSZXOI43RZLyT9oTJ4bi+TjDJTHhR9CEuaYVElJF8kj8lXBnMo5/yp9NOiIsqaffuopqyhoTGFWHDXiSx99IzJnobGJKIZdeOE19eH19eNWR85sb65957gscU4j4Ik+Xxm8n1kxl1JlGEuRr0yJ63b/g6i6MbmWEe/S66FNeDegt29c8h5NdnuwGoPX9AE2NV+DvXWG5WNtfnQMShJ9pkIcmcm2fuUqeIVGYwhUWn47bxIzs732r00PlKPs9nBwC5p0V5vvYkm2530O0v9vWRvoM2xDhE3bFuE893ZVP6mHJ/LR9eGKgbc2/A1hxtSxkvek8LKVr+Pp9tF54btCmGIng+URl3fNula2/PN9G6SwrqMCbGSiqA1CVozwBoPXx0mG3g98ehP2wCnv4G3wP/76osFYewl0CcTn8eLbVcdnn67IgwVGJX4yN4wOPwyfm4+pqQ4TCFGXWx+VkRjyzIjldk/OZOMVdLfbNzsXARBwCfa6XFIRQxbex9gwBWuBGnJlA0BnclIVHpyWJ+REBBJWYyc0yegx8wsYjlMKluQ0AMdafDWqfDRccGadIMRMJLD3egEKSnNrC8AIIZDsPIq9VwOFf7d3JKV0qaEV0f0V9fAl4dD4wxM/QvpeHuQqqXHAB8dB92J8EF4+CG6vRdzctVDd0it98Jn5WO3evlAhTJm5ye1VPxZCikNFOIF6NvRjrNl+GSx2LmjFwLQmQ0YE6JUVeYqbwsv1K5G53+h6WbYsQBs70BHiEFmng36WBCSO4NtTX573lUP8ceDMVOqFecL2Q8zFUR+XvRKyPw/mPU6FL0vt8efAipaUBoaGtMEvcWIIUJtOo0DA+0jfJyo7rwMAJ0uFkLSvqKNixlwbwvrPyvlccwGub6Z2ZBLdsJ1/jPlgsHlrWdPz6209z0Rdp8drSdSnBMuLw6oiockWk7Dan+LwpRHqO78mfqLuf5OyQB53p+I5tGr9wNIl2TVcq4oVKj67Q27LivDXjFAy5PSim7uJ/Kfa6NNuaXc59xIRceF0uL01pvlfg/U0ba2He7Ihxal96LwJWg98l94b70C37tHwfZF0gWT7Fnte00ZjuWzy7/M3b/aztJ3Vvo9df6d+vp8KcfQbZIMt6M+h50L8H3aDT+/lz5rG3Ap+PwLdGvAmzvx6p9jTdO7XynEQhToxnf/KGL4ZcjfvFElTDIUU1I8OWccTc4ZcmhyTZcyhHJn20lh7y9BJ7D8jivZdP19ZB6393rtNr+nzkRe5E4J/jDdj/yKZHmHQIRImwyupkV4iuTos4J5fb1IhdHd7IGekL/tu34Dh2xg4J0cQFJRU/sf1W9cjbc2Ed46ncRjE7CGqHWaTtnFvsgdbQvZ/0o6D/RyCh2uCEZdJIntqruUipjWbyUjT9ALiF51w1Mfu/fCJ9Gz986Q7/0Mai9StokhHwXpV0g/XV12sLjALs8x43rluLSfSyUOAKLUdV4AEHSQ7Q/vNOdL3r6KEyBb3RGtoaGhoTFN0Dx1Y4zPZ6ekIRebU1JYsxjlb9f02J8yLz3cS7Yiu1Zh0KmxIlupyGdzfDrquXl8XWFtGbGXsiK7jiRLuOrRnLQXSKjzl18QdZKxAtAdkqv23HkUfhCSD5YuKUg2ma5jR6t8T5/oDKppDoe3XwpxtFcoZXmd/X4d7o+PhUseh5v/iP2of1Gih11RK+Geq6BTudvettbvMbr+TrjzOsW16t9vx+VtJsa0XCnb7jHCoevl5zaH5OK0K5etW07ZyNaTB2l/u/0Lr+2L0BukUgditT+ENvCcV85ReOp8op2azivY1nwYJaUrKBEI/utUpupNOUSfj5Jr74ls0AGx+UMoNI4Brp4+YvKkZwh6edPBlCRbBoaYqLBxw9HvKg1r63OGV0/WGfSsuOsqMlfvnUKYL0KI9mAKEh5SnAs9iRF6Su85j68D4+Dw7QDdIYZIVwq8c6p6Pz/GpCjJoPOjc8tGoeHuv+FZ/RwAsaZDETCPuARLr2N92OeCyS8eutT/kVVzfmRlxlDBFEC1XlzjM9JG2vw7ZO/i3D8fx4pnz2HF899jxXPfG5WgzWAiCQwMh1pYacATl3svpPmNOnfnAIl/KcUg69eQ/RfluPjVsMINKzxDFw0fTPzxsMIL0fsuXDpuiD4Pm75ZTWf7O6rXuzs/pvTrVfi8QyVOa2hoaOzfaEbdGOL2tlHTrdzZL0i6M3icnXA9giBQlBoSV4QBQRjC8+VHEHQUpT5LaowU9uj01CiuL8yUlewiLaYCxcYBMmJ/QX7SncSYVgbz+AYT5Sim57qQHKTnzyNj/csYmyShhJSf+shLvo0Ey2qYXw5LthA7Lx3OeA2faMfuLgvOJVRpM7QgN8D8p5ZQdN8C4g+TFoybV3+jOp/OTVskL+FDv4D+WHjix4gVeRCwje6+Fh7+uepY7FGSpy405DHehtvbTrRxqdKoc/0/e+cdJ0dd///nbL29XnM1yaVdeihHCR2kSBMQSehKsQI/FVREBEGlKEgT+CqCGAEpiUiHACJFIBC59FxySa73Xvd2d2Z35vfHZ3ZnZssVchjUfT0e97gpn6k7O/uur5dLVHV6hFO57ewN+Bt9yDQx2L0x/v7DiMpihqrmiIn62fD+ETCcAV16OW1HMeWFd5LrWgEbDqDP+wJyqAXePMGyj6ZYWcPPFdrf/NjC5hnGspu/QcGR+2NzORipb6PmgdX0bZx6geZAzwDDu5qwp3mYc/mZLLr24si66WcdC2Gq509htGe6BZGRTTJ6pmq6z2ZPz6UxhEWSTfrUjoEXQT+Yz9fHHGd3WIsrzKyeMfuUxbPqfbaY7jdrAViqa9uhStA6MXFwgIqfHYMUJfrd96GRsbTZ3ah61i7dXYlGgJA2gE/ZwYDv74nP8WNofOUlqJ1tWe7U/VC7yWcN1ELzNbB9qZX0KOdwq0PY8rgRZKn4+bGWdWHxbgBXfiqS3YYkSZOiAx8PafOEszyRzF9oLH4kSTyymqYJIpg8T6TaPG15/FJJyQET+DmJ3e5zbgnISjdqyEtzw31x19ftugFNkxkaTBxYmgpomkZ35/Ps2HI5I8NTr0uYRBJJJLE3+Jy/yv+zUNf7nZh+NUlyUphxBZnuY7BJIlOQmWI4SvMLnmWiyEw5ksL0+CWSKY5ZlGWJEG9Ii28phMlF5he8QFn29eSnnZfQCJ2bt4rd34vqz2ssp/OeIMqtol5o2lH7U5B+EapPhqwBys4/hIpvXIA0tyWySVhaQA4aBmBNt5V1KXVuGpkHZZG+LCPBlQsM33gcvKpnExIlAXbE0ssDsHUpyG5wByC3F4rahYGkhXA7ynBlm7KP+r49R+uOnuJk+/mbqFFOZLDrQ+yZY1hNNfOt8+bz/O334I5roW6O0K/zeWhQv4a04VB45zjYtkQY2/843rKLsGbX5xG+th7aX//IWKABqoR7Wi7OzHRmnH0cqiz6EkfqWql//FW00NT2Em67TZQhD+2oJ3vxbFIKjM/SnuJi4dUXYnM7yV48O9EuEkI4/cuYl/+kZfmg/++0myRAPi00FIIMsEuXL8hk7GxZ+iyrIxboTewV7OpeAbKToddsND0sMo4uSpjLq+L7ELKDPQ49YhSW/t9pZCyZhtwZRWKk678VnjEfOWQEajxOIdztV+qo7jzJItkSjZ3LIXDObXCsVTtO0qsqza+ngb9B1z3g3wYdpuprySYx+4exQudFZy0gbZ41c28u14wW4N1blH1tPzwzs1hw6/EUr1xMaERGVWL188xI1CsIkH2m+B/yKmiKKshY9PfJjIem6KT/Q6AEuiY0rrbm2vEH7QX8vnqa6u5g1LuDmm0J2hWSSCKJJPYRkk7dFCIQaoq7vCzrJ8wrsDJKVpY1U1nWTLr7wEkdw2mPLWObnSeUYx02kQFq6ItPpV7bK0gVYtg0dWS4hWF0QOlusjzHExoZ2+BzTROR6Pq/rBXnlpGKJEkWtk8l1MGQ/31291xoWRYPKTOsDHKLn46jtfKEnoXZMzf+STXqjTnHRrHvhfSwtt8Dm/eHG3WmUJ8Hp72YOTPvFvP2oEgFAAUrdeegSvRJycesgtdOxVUW3xH2zEuN6IJFIEdF62v181ac8N7RkBLAV6Ubl38/EVZdAm98kWgE++Nf7r5GWLYgjKyig6CtlMwCQwogfZa1FmzjdXvvDIVhzkqbmS7NSC0t4IDbr7KUYk4Ucqgdl704hqwIIKj2THp/0diAi80YTqiLsevmHOkeKu++OiKX0PlOFSP1CaghAX5q1OiF71UWpzDT9wSE7EguidmrjSDFkvtPQbJbn++xnB9nTgplF1lpFMPvl5rusyLLVG1iZXHhDF08og+fiaNGiXqF5BxSSu6R1l5Ed0lGXAITm1tc71Rm5wAKT6tg0Z0nAeDS2TCV/rGvW24R15yhx3FKTcTELv1ywhp8rjwP6Ufp6yZRXvnfgJrt3xETcapQ1NDeaQJOBsGgNYgSVD7HEbckkkjifw5Jp26KoGlaHGdl6m+v3WaUD1UUrKEs6yayUwRVf7iMc9CfuNwJiGugAszJe5gF016KZBTltrF/LGXvAM3Pv8PQzgZx/DhkGHKwg0H/P8bcTxjZx1rJBlJmeFjy7IHknRbnfHviXwPtJbgziuCbfzCWXRtHwiFXb9bpy8VlL0LS3PDRcvjAyKJ6FpoctI8PgXWHQU0FgR2p8PhFkVVl3ytn4aplLHhoCe6FemR+tih3Q3YJ9lB/FGnM1mVw2/UAjN5wJox6oKYCPjb1B51hMEbuPhGar05MGLEvsOePUYyWGgxWie9A9+u1kcXzvmXNzGqhEC0vvkfP+u3sLUKjxjO68IcXjzFyclA1H9WdX8Qf3IXTXoTbMZP5BX+zjOnxPkn3yJO0Dt454f6x8ZDG5Hvyaqq+R/+ooY+maRptq7eT0v5FI5iBodcGEAooELKTMb8YF2WR5c4cD0sePI1FdxuBBUl3jOZef1TMscNOS0WBIc8SL2ikhGIlUFQ19p4VXAXz3oKsLxnLFu8U/wdMCjB91sQpADO/YyWpyTvGyjy836Mi9bXkt6ew6K6TYncwhQhLHMQTRQ+j/RYYfBmcZTDnWViwHsKv95RKIysq945G9lm+CuavA8fklBf+q6Eo3ZFpT1rFZ3ssudsyL8uTk61IIokkkvgskXTqpgjRDl1+2vlUFDyTYPTUIMO9nMKMr0dKKLNSBAmAx7koZqwcbI9MSwl4q+22TNJcIjsmdxjG8owfzSLj4NgsSO0jL9D1ntFjlrlwFgCF6UZf24j8MUqoPWbbkBqrRydJEmXfK8eR62TWzSKj5S52M/P6mXDm83HPGYBlmy2zgTdmgU2F6U1Cg+ugKnDqWce7rhH/w07du8cwvDaV6nNjqepd002RfFXPZvTloX64GGbXwb3fI/ecFArPLSa1Ig1bih1Xbgb2Ur/Ro9dSBu0lSB2zEp8/wFvHw6unib8w5tSR/TURGR6tgq57ofYrKsHBfc+UqWkag9ut2nN5B8YRvgJsrtjnrfOdKhqffiPO6MnB3y0+x8wF5djd4+siThR9o8/jU8QzEc6Op7sPZkb27WSlGA5B08CP6Rj+LUG1O+5+xoLG2KV5E4Y3lbq+7xDUBewHP2mj/a/V+O+0ZnzDum2gs4WG7LiLMnFSCjf8kvQv+rG57LhyPXjKMim/6hBKzl0c2SZjidCoMwvbzrlW9BymOo2yZ6fdpGWnw6fsjl3WF1vZ4Lh4LRnHaZayy5T5McNQh2OX2Zz6d7Q7n8IjD0euk1D9kD3tGPIWHIFD73Fz5njwTB9fZHxvEM7UDW/vQjM5r/7dMPCiIH1puxGC3eAqBXsWpB0MeRcDJa34i/+B3COcubBj6Mz1YE+D9OUxh/ufgaoG0DSNoDJIb/da5EAnPp8gEXO6CvB5dxEKifsW8LfgG61HU4ME/FMTDZNla3ZekXsTjEwiiSSS+Pcj6dRNERTViERne05jZs4dZLg/m19fmxSfac1uSyXTfQxSHKWKrR2HAJCVcnzMunjYerbB+lfw5SJKv2Utbcpcnk1w1JrJCxvVZdk3cECpyNR0DD9Iv8/IIoT7bTa1xefcLjy3mP1ePojck4xM3O6ei+HCJ4WeHMCw6foXVsPK1XBDlPB63Wy464dw/3dBcUDQjuOav0BYSDns1L1wFi2/itOv8Z3/wzkWYWNfLhzyL0auOcuyWGmTyDg4hbIf6NkKXbLAnR/HiAyZevP2RPHS61m6AbtVoH70YxsNt9ayrxEaNcrKZqw4nsq7r2b4o8SlZrmV8T/v/k279uo8an4rAifFJx6yV/uJhqoZz7ZdMrLjBekXMTc/Vtk5XiZqPASxPnc2JlcemlGhfyc3i0DMto6jUPp91N75YdzxNT8zSpIDvcOg2XDlenBSCMu2k3659bPIO3omxV8xAkQ2h43K1SuYfsn+5BwmsntZB4rn3CaJfthM9zFIUqxzHa+vbufmy6wL9t9Ik/QNekefHuuyI4jLhjmQBe8cR+f3Stk2F7aWw8CD0+j9ZQlDYxcwTCnCmbq2Z7Zb2Di3V0DtmdD7qGmsqU3SngUc8SF4/Gy94pUISQqScEb/F6FpGpLNDdjRNJlQcIjNn5xCw55fsHXDl6ndKViNw8yXm9YLoqltG1dSvflCWhrvZ9vGFShKLPvzZBGdqYueTyKJJJLYl0g6dVMEWc9Gzc59iFm58Rm6pgrLitczP+NNdr93K6Gg1ZB22osZlbdQ9dbxDHaJLJo1Kzb+R973hhGNnHOnMMbTFhmO1Pw/LGHO7fNQA4lVqWxSfOY3zWQs+5W6uGOiMRz4QEykiesoucRUYpM9CK+cDke/C9mmxrO7fsCiwjdYUvQBFdqHoEmUzD83sjp/+sljH3RaFxscEvzwzvjr/yCa5GWakDF6mpQWYaS551oNW02WRInlusMg4BSEBx0JqOYBcnQDJGuI/G9Yy9SGny6Ms8G/DyMN7ey4x6h/s+mMjHK3IUFh81gDCzPPPYlZX40lARnaHb8PdbJwpKWOP2gC0DSVqpbpNA/cGFkmSbE9ZfsVW2Us2ocm/52XsWYPFrAuwcj4mHv5mcbMYCYhtZ9tO8+IHXedUVIc6Bhh1y3vEWgXHpEz16MHgVQ6uGXCxy6/6hCW/eFLkb40SZJYVryBOfmPALCseNP4O2kXz3/6rWspWvtP+NvZADT2X4umWft5M/Wk44yHYPr9Yrr3sdhdzvzqcZb5oMnXbkxAjDtV2DYXNuivPXua8f1vvUFh++l1qLLxPe5/ztjOMYbm+YZz/0r7mmrQiNsf+L+AUGgYTQ2Qli6ywbIcnzTF4TR6U83PT1eHCOTt3PoNqtYdHvNsTRTtLX+iq10EkZZVvghAY92v2LNTkLOMenexZ8cPUdV/vwKPzwAAIABJREFUX49fEkkkkYQZ/5u/Ep8BwpH6dPfB2KS9E90eD3ZbBvXv389Q52aGOjYz3LWNkOJDU0OofQ4YTYW+PPa8e7t+bkZpaHnOb8bdf/3NRqlUygzDoJ1zx3xm31pB+pIMAv0Dlm0WXH3BuPudm/848woMOYftncegqol7TsKIGNWXPQqnvErQIaKjKX8wGdIbKmHAxH/+8pdIcSzEPjCDptOE8egqczA3bxWzc39HWcGPYw90YJUxXaBHYH9+k7Hsy6aequsNpd4u7gUg5BUU5a4ycOVbndpAjQQNOknKhoPAPw7z3o+NPkDZaXV81OYcRt4fe/PPEvWPv4LcJwgC0meXknNABT1vGxIbJectQfUFGa0znGybw07OsnkUHltp2Zcz89Ppe4VhTxX30V2QzWjjAIFuI4ChDPjx7plYdL5/9BWa+m/EH7SWCaa7DiYv7eyY8Q57DukuIxM/4H+druFHLWXO40GhxTLvZnLsnDanyXF++TR4/wjUgdgsfeYBesrZLrHtu68xvKUT3ybx6g+XCYahMv73URzbHkOg4rQXRPpxnfY8ynPutci3DPqMTKGmqUJiBChZsZTMY51GiTQwqmy17Lv8MSj6CeRfZpCpNF8pyhl9O0BuA+8nMPxm4hJceWIxpE+NQK0QDh94Abruk0TWMOCCbUvxvzKbnYcaTl3IFH9S9EdmtK6f/nXNJGFFOBuWliGqPFob/y/uuPmLH4xMd7bFZnvlQLv+f/JZdYC25ocj006X0dQ42C9exju2XMbgwIcJtfSSSCKJJD5rJJ26KYIS6kDCicM2Rth1CiGPih862dfLrnd/QcO/HqR953P0b6yFLVYVWdnk1DnsVjKS8eAqMJyT7CNzyTlOXF9w2DD+ik86lLTpY2ePZuU+SFbKsbjsRdhM5Wy7es4fc7tgqB8tzJxX0AMnvEXXltdBUvEvMJUmKk6YaRVo731CY3MB+HWiBWcpZHmOJyf1dOy2DAovMGXK8nrggf9nzIedulQfzKqDyk/g5LXWk1OsBnSYntxZCq7iOI79oMmB2XRA/AvOHASPAhleOOl1AIaG340ZVnNUXCK4fwvMkgSzLjwZLQiNvxP6UNkHl+DKF5/vjuus9W6SzUbZGUdTcITxfCrDsb2Vk4Fkt5F/6BIkSWLHj95k25WvRtbt+PGb7Lz+rQntp67v23R7V1HdadUInD/tbxFHJRrTs2+yzDcP3hQpc54Iwpm6LER2zcbkKPY1TYVT9L7EqoPhb1+BV0RPpv1rL0XGSZJE/gmzIRT7wDjzrE5ddPZwb5CX9hVdhkWkyPb0fpXhgJC/CKo9EafOMz2fFMccy7Y7u6wZR+c0KL1N6LClmgiDt1dA9SKoXgY7D4a+ONm7fwdCpse49ixouRp48yR459jI8rAjDeAztQHn6vw+O677O3X3mORBkgBADjt1eqZuaPDjuOOcrjzsDlHC3NoU3/EDpqQMMz7Ee7Gp7o7PaP9JJJFEEmMj6dRNEeRQO057YUIh74lioO0TqtasJChPzNht2bQKAG9fLe3bV8es3/Ds+ezeeaUo+1t3GFVrVlK/fmxKeWepBLlDHPjBcmwp8TXZ5EFRvrX4uq9RcnKsRhSAXTL6yOw2o1/I4zT6q7yykR0b9L1NVct0gqYwduuQnrFSTcwJXdMgrxccBtFEHpdASTvcbmTgfDut5aHOKBrwsqvKqfzwMCo/PAxe0o3Icj3jVGDqlaibA58cTGGeVZfI3iFo+zUEcYnZqXNkGA6fmckvBvN3QrfJIV5cTcY3dC80xQ+75ol+u2//Dr7+B8umW2dAy4/G2PdnADUYRBkynk1nZpqF4c+Zl4orb+zenxlf+QKVd1+Np6QAZSAO48WEzyVEcHgUZ3Y6269eG7M+zMwY8o1NLBOKx7oxAaS6llBZ1hyRApksmrkKgDk8R2VC4cXE6PE+CQu3gdtUgt0lnqVQsVVjMtFnEs7UzeNNAPxUU4WNAV6IO/7TwG4zghkNfd8H9HL1zkJs+TKOFDdOewGVZdYs1agcX9zZHYdzKBTFV1EZdTunXQ22tM8uEJJQb24oMSGLPVucZ8ZRoAXH1m488Olz9uLs/rMwNPAxVesOp2rd4aiqjBIQ7+LUtAQapCZULBpfLkWeoOZdNBzOPPIKTqfysNie1WjRc02bIhKkJJJIIolJIOnUTRGUUAcOiujc9TKaOrEXes9qL3Kbtb6/vVqIkfuHWuJtAoAajK3ZV3zxWbg0NQS7rTTPfY3vjXleSlcA7H4LXXzMGN2pc2YlLp9bWPgqxZnXkOs5i0z3MZHlc/IeIcMdS4/eMSyaZTa3L6NrZBWaptHj/QuMpJGtrTAGdhdAfg/LKl9k8TOCJMJbLc5nxuGXkvZTkSHqe9JqKDmjVBAC1NLHk/RiaAguuO9IZt02G3tKKikYzH95XErJlyuZ/nCQ1JtFNij1SlF2oyAyobL+ke0uq8DLJyyqhjlvKoxKBulMDHL6YcAquj78rxHKcm6BObXQp2d+e/NAcUGFQbqgtEDnGNW0gXro1S9NQ2Urc2jiysQbTADhzz0MyW4XRA46HJluS1neWFT/zqx0BqvrqbrmHqquuQdVHp/VUwuqdL68C1UJseP6V8GXgjMzDX+r4ZhFCz6P7LAy1mmqRucruwj5g8ihDtqH7h33uGNhOGA18rqGH00wMj4kbAxv72L3bf+ckDTCSGADrYO/omngJwDYU+L0E2Zb3wfO3PhOnc0tgg9OBFtHOz8HNGo5C5nE76DJIKQZz4ccakXVfOzsOh3ai3GWWj+rBdNejEx3jayakuPPfVUwTKpeUD8jWbGxRMQTIWQ6F2XA2hudf/wsFtxukFpNtabe5xkdrcb7WJG7I5k6l9vKXFVQdA6zK27BZkulYpH47XC5rC/5WfN+QemMKyzLoslNhgY+xjs8tryKpgYJKn243LHMrgC7q79vmQ8qn1Nh0SSSSOK/GkmnbooghzpQWzJp2fwYvU3/TDhODYbQVJXgoErjD/rp/os1I6eGRHYpKAvjWZVjm7oD3klGGl3xnTONECrWbFZoNCicB5ccY8BbzqFnAFuKC7s7PiEKgNsxg5LMq5mVd39EdgFE701FgUG0Ec6UBE0WV/PAjfiUamxaLvTnMtCmk0ioEjSU4ynPxenKJ2W6B09FGv4GYTiml82g9Ee5kDFEsMEwZEvj8J3s4CDquZAGDH2ztIIZ5B5byP70sZhteBClgtO5F5tNYtrXHcw8UxB+DL+USjpH42MLIYaQW3UnsrSVnRyMe6GM94RfoPzEZFTMN5wye74KEkLOILcXig3ClZaGe7CNmmjxVBt40yCvTwikmzDaEr9HZNex0HAxqD4Y5CXkYCPdw4+h4v/UdPrKoPG8Zi8RJXNyl7FMksBVkBaZN2ujRSNagqD5+dgy02j0/KOelsc20/Dgv/A3+KE3H4LWbHLnizWW+T2/sjYgDqxvpeXPm2lbvZ3ansvoHLFmQLNTTsbjXMCM7NuJhkYwkpkNY07eI9brGLwJVQuI8sg4UPERwrhnmqax6+fvMrSpg6HN4/f71HSfSUevcc6hmjiEOy4F1ww70y8XZb7RvXMxw3WnbhQjALGbLyYaPinkp51nma/Xs3V0FOEqtf4EpbkOIMUhmGAdtsRZrukPJlxF1unW+fTDDYbJz0rncTL7jXBImR4POUrPrvTCZaTOysFdmEb5VVPL7Pr5hxHYUOQeFLkbhyMbm81JcZnBmFpUchE5eV/ggEP/TkaW6NUNl1+GkZN3LEWlF7H0wOew29P1fVqdut07rmbntm+MGVBRlF5As/TSzZzzU9MI63ddTrJiJpFEEvsASaduCiCEx9uRgiJDERqjdHLjtb+l/vFXUdqFUR3+L/aj4h8SJUiKr5feT3aw8br7CfRYSUmq3/jBuOfknG76gVIM4zmz6ADc6cIIrOUrbMTa+7XphH+JCXsIeTB+WdpgdR09H29D9Sc22CeCWbm/BYRDPOh7C3/QaoyH1EGcWlSv3gVPQmcRWrMRMXVNc1mmna48GDZ+3EufbKboh9bdaGiEsN7XeFjEJirRsJvo5s1lnCPeDfipZhNZtLU+CFkDkCZYIDfiFoyCyz8WfXkAO43SU3s4QffnS2D+Lig39QSOuFF7TM5KWym06iLR+1l1+Xbc/SSB3sGYc5d1fpWm70AtZwkiisxhNnaUs4fTY8ZPBOGy20XXXsycy0TJauPvjdIjd1E6Nped2T84DBhbfDkaPR9tHXdMcEQ8c4EOI+DQ+qiV3EQZDKDKiZ3W0KhwyoID/hhCDhC6dIsK36Qg/aKYdQ1cRi0rLMuyPV+ksqyZwnSjPHdj61yaB34Ws/0ga9lIKoOIjFQ5j9H6F+Mc9tyWOCAEEAg2CjH7634Nu+eS6lwKQREwKTlviWXsnNvmMe2LgpzHmWfK5pW1UHHrcipXG9dhjyOn4CdWu/HTIMVhrZf0KXp5cUcR7tJYYpPFRf8AiHG2zZh2RcJVzH5OvPvcukqILdNw6pSpST7GYKz9zn0FWLEGVqyhorqb2c/G2b7XYI5d+vvTcaS7kGwSS+4/lbyjZ8Zu8D8CWe5Clrtw6hmykulfp/KwD6k87MO4WTNJkkhNm2+aF5lol7uQ/Q95A3dKmcXhMjtyHa2rxjgPPVtoygTmTzuNhcv+FJl3OHNZsFRk6ZUEDJ1JJJFEEp8lkk7dFKDj6UbU1afiaxElF5qq0P1GLc2rP6bqmnsYaWiLlJgB9G/ejdwhjM7w/4G2TyKllwBNGx6hb4Poi/F1GKVUit/kiBz+ATmLl1rOJXfm0Uzf/xJSZrsh3KOi2bC705h92DWkZBSj+PqEeLTeN5Moa9P++kc0/fUtgj5radDAtqmhkQuLOiuhDnpGY/sBfcHdBAL11oVNwsDxbzcyf/Z0w/mxpdlJ8ViNIO2o2AxQC9+PWVbBOxM772mQFdYIbzVlSVpLoTRByH79IbDF+lnZUuKUVP1Rj0T35gktvHjwjFrng3a23frHCAlF++D/saXCcKZ6/wxIJie/fhZDrEVj7D6eeBir7LbipmPIOXw6YGSGZJOxGhyRaXpkAyG/yDRKtom9foaru+nQs29hIWczs2bIK5y0jKXCyOteu4fBTR2WfXhr+6hauYaBT9roWrsHgL73mwQ7oQ4JXZzaHlWna8IoG/ERn65f3pYLLxoNlN3eP8eMGUQQmPQhqNGdlMZkFhMhpI6yreNI2K17K7+7As1EvpN1kJFFoLWE/veMstPoTF3GvOkx+88gVsNSZWro2RcXvcfMnLsACATrxH3vzcdZNvYz0ONdrUtM3DTmOADWHwyvnYwqiXfkgnWwcLOePdadutqvCKbMqYbcqmvM6ZhjVJGSZVLy6P+gGb9aw/QHYHFDkKZHNhD0ypFM3dzrjhw3q/rfDlU1goX1u3/O0MC6mLLKsTBv0X3MXXg3i/b7S8w6p6sARe5msP8jqtYdzraNRmCju+M5y1hNC9Jcfy/NDfdRt+vGyPZmmB3IoNKHyyXeQdEi5UkkkUQS/w4knbq9hBpUaLugHK65FzpEVml44xBND2+g60+CZSsskGyG0mFk6vx7FGo/uIP26jXWMboDZ87CNH7ykDGgsJO0RWksOP42bA6RJSxbdjHT5p3KcNcmSDUM6uziQ8gpW47NI6GGArRsfixi0Mo0AFidt2ldeJs66P5wC53vRPeETQ3bgG24BJ46D3m0CzkYG+pu7r7ZQv1fmG8IGC80qQ8MfWzcH3OZJwC3X4fNHpsN6OK3Mcs8LJvwuU+7RvzPf9UQVqelDMoShOzze2GpIH4ofUR8rrOeijrXa38Ns3WH+ZODhK5dNDKGICXK0PamARK7ulbgU3bSVv8HlN1jGIY7BOGAn52JxySAPDiCzeXAniIyvGEnCyBj8bTI/Q/3cPV/0IyvZQhN06i960O636il/dlqvHv6KD3tCABKTj5MPFJBe9wSqF03v0PrE1vQNI3hbYkj4HN/bOix1f3G2ue28yeCBbP2jg/wNZgCI6+cFpnU9FLkoJqYHU+hFYW2uA5x/7UHwhMXW0h9wvqVBsT1hQMqTi2KvQfRE9jzVl0kKxlGbzjwMWRk1Xw36EapQ2HHPU9A2ggUdMEz59Hx6ibUoHjPqGowsq7iivikGxqxpd4KE5doGAspjllkp5iYRTvFu9JVFn+82yHkHRr7RVVC18ijMQLvM54eJO+nrfDTW+Cua3CWAUu2R9h+HXmQqn+lw9l1dUQwx/Y+PrWkKUqryAZmfxkkpygBnf6AUSZa9lVRxt39Ri2tT2yh4Nsqg1vrxPyTW1H6fEhOmyE/8T+CUMjHqHePhWhEUcwOkfiexRO0TwSHI5Os7OV4UmMZdVyuAmS5mz07xQtcDhgefsgkr6OqAfp63qSrYzVd7c+gyJ369rHZQXfKDOPYzmwkyZEUJU8iiST2CZJO3V6i5l6Tdtl374eOQoae88C2JbD2FBiMLWsCGNkhMg3+PUG2H9cJrbHGXWBE/JC0vGBkmiSbqSTPEaKFH5CWO5cDvvwYlStW40zRw8WnrIXTX4kMdXly0dDocP4cgK7dr8CLQry4hqMB2HrzKjF4epOFWVJTrMZe2JDPOWA+e4OdBTPh2jtpPuxQRhUh5lxZ1ixY8FRJiHOPiBrFA5f/k+Bt3wAEm6SZ1jz/dBE9zT7WyGxlnqc7ekd8QFCeGIW1nezxB+kIG6M9V1dQpOlldnqmzsPSxBsCRZdnU6lB6n6QMtvkfJ31Arh1Q37tKbDucJBUbAXe8AniOaELXFFlr8N6HWfATXXniRGq+IS4XJQIBZl8NFkZGMaZlRFx3oKDIhAQ7t0KI0yW0vd+E9XXvE7H8zsZ2S4Mnc4Xath5/VsE2gNU3n01xSctJy13EXQUE2iPLSMNo/PFGkaqExtLNlcsU6szZxyZgPePgpCNHM+ZhF+Hme6j4w5VGSVEPxoKQcYw2kxO19Z2az9UdA9r/wuGg55/4mzsGS5qbnybxoeq2HyZlYFS0/RtPziSGGQNiv7MnAHjGQKa/iqc2bpVL0XWpc+J70nlYsiLzEWwiUZr6e0N7DZDHDr8jDpL448ty/pJzLIt7QdZ5puOWELvt5fDtx+ClWuwSeK7pMQ40mAzPQZyHTR8dWySoclCbhHvhDl/gwNlkR2cdqVRJjrttHmW8c2rNkVKhHverEPu9eHK9cQGpf7LUVvzY3Zs+Sq7q7/LyPA2NE1FlrspKrl4/I0/BUSmLv57z2YzsvYNe26hYc8vY8bYHbF9njNnGxTEkmTD6cz71AybSSSRRBJ7g33m1EmSdLIkSTWSJO2RJOm6fXUee4PRtm5GX4oyoOvLxf+dOv3ySDp054PsFEH6llJoKaM3miAvTqmdGjCMs+q7niAUUHC4dYPxjFjKcQ2VzRRRhckwuOZuCLiwp6SLHjJHvGh8G53PtKNWCwsr59By8g5ZDG3F8PEhMdkTZciLMzuD8vM/PZHCyDrTde4yjMy25keoWne4cJBMGHrVTu8qfUaC/ldGafihcNZKvj2DBY8sZfYvDZbP6Q/LQpDZEaKj7XHLvsJEF1mcyX70sogtLKMTiYkbVGZjNG3tTaRsXwFtpaRkzqQCwwmfxVMsZlfC/SxaNUZ2cP2hkDmEete3mfO0m/1fO5gF3zuP9NmlcPB6WKL3YpW2QsgG8/bANx+yOnU/vBNuj/P1ev0klChNsioJtsRW5VkgD47gMpVehsvGokvGJLv11dL2VCw9vb/VIMYJNAnnsOH3n8SMC8PceyYQm2rJPXKGZd4zIz7ZRvbRRsS9zH435bl3c0DpLhZOe40szxfibmPWcIu+dxZ882G4LdYpEdu1G6d+99W0Pymejcz9CnHleggNy5bS0jA6XtjJ4Ev2xElye/wS6t712+nbVMNInXG+iRyHfL5JBW+zH90R4hSZVqqQqEKasDB5IliOqz+jrgROXbg0OxqaptE+dB9b24+IWed2lItzDnXErIuHgSlSbVA6YfRfY4+Jvufdr9fS9rTxnVD6fQkZSvc1lFAvNV0rkINTyzIT8LcxbMrQBfzNBJUB0EIxZY5hkpO9hctVgKbJOByxAbyg0k9QGUSRe+nvjdW3zMk7Me53JyOrkoXLVnHAoW8DRolnEkkkkcS/G/vEqZMkyQ48CJwCLALOlyRp0b44l0+LoByg5vsboCdKbPyFs6zzbSVQPwv6crDJuYBk1VwL40+XRcSsK469WSyTjcihb2uQmjtfQh7tE2Qcpmh8uBQsSDdBtQvuj6Ktf+EMlOFhRqmKLQ9sKcX53FW03NcgmASBlLJ0fFVukRFommkhuxjc0UCgZ4DU0gJsjvgadhNBTbS0V9BOvvsS2lvC3q7pHu2Zwx4zr4cGdd/uo/eZUUIjKpIkkbYoHclubONOy6dk/3Mj84ps6kvUJQiyOBUHuXhYipP4VNWJYDcIHqk91YZysR723z4fBzkU8kOy+Qo5rMSNIaxcjlUdWXLYcNx5F9x+HQV8hzLuth4ofQRSAtTazoRUHzaXk5ENoyKT6tE/l5AN2vXevtdOtZCxkNMvHPtoPHMuMq0Mvgr9a0DVE0ZKC2hjKAsog16cWcbFh5+NeAZpxuKx+2C0oMpoXT+Bbi/olO3enf34O0YiPXG+vgQR76wB7OUDzLtBZNUW3CocsemXWTOG5VfGZw70Og1GzDTf0dgkFzbJTaprSdzxYHXkxhXpNonLm4MikX140+CjwyLLZ31v+ZhGfetftjL8fCbcckP8AQmcOoD6xwxB9vILEgdiJCQyOBYH+RGJAz8G1Xs3v0+47USxqPBNXFu/BFcKcWhngvLLRE5dSBukbeg3yKGmmHWzcu4FJJQJOnVjPeeTQbd+W4be+PT7GKnpxZUXR5piH0LTNAZ8b9LrfYYR+SMa+6+d0v23t/zJMq+qAbxe0UfudBWQnrFfZF3ZzL2TYgkj7CwGg/FJsjranmBLVXxh0dS0eXGXi3UV2GyiJN3lnpZkv0wiiST2CfZVpu4QYI+maXWaqCl6GjhzH53Lp4LNbkddtwgGs0FSYYWpby5kuq2b9xPOUe1c1G79R1tJ0B/wlwsBiYyCRSIib3LqeOsEfH/aD3/jqKVXDoiUgim0wseHwB1RmZndFfTfV8JuTgSbJpjYFm0HNFi5BuXOCyzD0xcWMPq04YgEWoX1M9razZ6HnyPQM4Ar26qtNlmkRtva3QX07ImNjgJwh9WYyDdYran7Tnx9PkmSKC79amR+V/V3I9Nhg9xFAotyglhgSiqptcIpzL5a9GiUcSdz+CsSNiRsgIMczieP2LIi+xGb4Jj3yOMSCrmanONNgYJW4xzr+8Q1lF6hZ6PsISE8PZADa1Ya2/za9PmfvBZchvWacZw+8afL8H4Ce06DupXQZvIVWq+Pf72aqumZOuOzl3v1TF0cg3T2D8YW5Vb6/ey47u9su/JViw7X9u++xp7b/omveZDqP8ZqUUi5o5AxQtk5R5C5rJDK1StImyfumSPdRepcI+vtzE4h7wuxvTXKEsPRUfonxuJq1m2LLksMeWMz4JF1mpGRDDt19l6rdqQj3WXR9wOQ7JKlZxGAfnFts75vZa/EJgI7cy4/Y8xryDtoYrEzO9nYSMXLx5FlLVwzoW3Hgse5APnU/zOOk0C1wGkzAgJpLqPWumv4kXjDqSxrxmHPxWEriNPHKJB7oXV+dP3U9NWF272Kx+FymfOjMb4Pqva5y9QN+t+ktteQ/BgKjK1vurdQ5B5qd4pSRpe7gLLy7wEwf8lDOJyJ5S0mA3NPXF6BYLCZu+BuphWJ71JnWyy5Shjm8syxEM7UTURzMokkkkhiKrGvnLpSoNk036Iv+4+Bze4Qzf6tZZDiB2zglAXLoM/04xym1l9/qLFMd9bKbrb+UDn7llIZdg47C0GzCQbLj/RtZTfBYV8kQyPpcgRhYzOgtgiihmiE7MjvlcH0ZvEHsHsu3BPfSPOUWUtBR2sGkPuHCI4YzuREmQuj4d8lyvyCnZCy2MQSd+0d8TeQnYIJUkfpryHblAwd3Tp2uL18rmAt8/vqaWkQArVhg9y5l49cWqUxrY24oKyZnFPdccdWojCbJ+OucyN6Ex0I8ghzGakZo7LoOyy8UO+/lIDsEewDs+OfYPN0OHAj5ZuNMi/nTIPgY+BgQ+fB3F/U+RvxGVVFJZSD3lFQVSEavqmDqpVraH50IwBbhipoHbQ6YI50F5WrV5C+SBjoGUunUbl6RcQZ6XjeIGpReq0MqwDBoYD1u6RDSxVlt47U+P1yC2873nKcsMNYeoGp13FmE/z8Z/qxxXM9sL6VqpVrIpIHZtRzkUnPUIrJ1MndcRzDlauhblYkc6TiJ0gPJfySWX1Gv2uYRMORbjUatZBGcDjApkufj9l1dLlr5T1XU3n31WQvnhMzNoySU8Z2ss2QkFAJMIQ1/VSFhI/YUtpPi0QtZKKYQyDHcwbzCwQzcPvwfZHl4R46M1z2woSZullPQKUm/sLYMAW/gG26XFnxjWOPyz641OqIY3z2kFggfl8hfB+DavzA2VTDqNIApzOXtPQFVB72IekZY/coTwbmss6MrEoqD/uQrJzllMbJBB64/H0qD/uQkumilzteyWaiY6iqDzWUWNros8D2TRfQ0vDAv/WYSSSRxOcL+8qpi/dTHhPWkiTpm5IkfSJJ0ifd3Z+vcgY5MCBEusEQ9/b4hBEaxxAFwJcCjTMizG+tL6yzrFZabNTduBt/1wDU64b6SDo0G31CardHd+oczEUwL+7kIHxso2f46fjHHsg2zhXg1Jet2RwzQja2LIsyinwedtzzJLsfMkhhlOFP94PV96ww3uVGsGeaIvXvHBcZk5t/UmR6Ru4dMGpkgQqvFmVBYQHfzGPGJsLIzTfKzTrbn2LbhhUMDQjqTG/3Lvw+4eCFfApVK9dQtXKNcCaA4W1dDI9BzAFiRMPqAAAgAElEQVQw43f6hGrDVZoyKQbNMGbxOLN4CjeGFMOc1R6RhVu9QmSCgaDaT//oy/iDu5j7G73E0q4QeikOcQaA7MQmF9Dw5zfgvKfggr+Q/vXE/X3xYO59bHjgX/D34+m5toI9t0bpqdk0OoZjGUXBcEAmS9Wu9Pt1Zk8THIbDNdy7jc6qd8bfkR4xt6U4LIvdWcKpD0sc1OqMmY1/qIrJkPVhjuBrdGAVJlfiOXUA7x0dMY4V2kADb0cLe243yj/Dxnzq3FzKrzyY2dccRulF4jlqemRDRLLBjPA2i+46iYqbjrGsm3PZGRSdcAiLrrUGeAqPsxKNjI/4JZ39xMqPTASqHzpiE68JMTPnTlIcc5mW/rW45Ziq5mPhtFeZX2A4vU57EYo6fvll+lGJ1w28CKMbJ3aOqqloQppkNXrJeUssRD5TLWUwKm9lwGd1yrtHnkAJjU/iMRJYT/PAzTHL9zb7pGkhOtueIhTyEQwKUqSymVfFjHO5PxsWUKfLlMU3OXjRWbgUzywkSZhHhSUXMXPO9eTkn8BEEJZfMJdgBpUBujqeHfP+DfS9x6i3hvrdv6C3e+2EjiW2+yfdnS/g9zXQ2f7kpLZNIokk/ruwr5y6FsBMyVAGxKgHaZr2B03TDtI07aCCgonr1Pw7EOg0GTxhRyp1VDhQowl6I7YsFQQg3aIERLN7weMl8wpDdLp/lYeWB3Vaew2c70Rl3nryoT+LOTyHh8WRxdUsZajnY+uxS8LZhCgfeut+FqkAAObuxjXDBu1xslcj6QRHrCQJxSceGjsOCHplQv4gWkg4IiGvsKlDIbH9QJ9BIuJdB6n76zMOBfwiyxWJiMpO3IP7ixJXIP/bGkpPiNCASpgIUOlK3EsERH6YwwgM9tCz/T0IeWjacw/Vmy9AVRQaHzI0EnbeKMSPd/3iXXbd/M6Y+8//BqD7CqllBZMiWwnDQS65nGdZll42A97+ApS1Qr5ga7Pbs6nvv5rO4YfJPDwDV5lLkNmYUaAbbG4/fHg4apWeuSnugMIump59bVLnVnO4UaI2dP0xsHUZvo9SoSu2B9Flj5/5dOTq+m/j9Qw5rY5RoGsYZD3zmaoHEfJE1kBy2Ona8C4t771ISBFOePh/NPJPKceR5Sb74BKyDiym8BwRMCnIEPc80D5iGd//YTNDm8ZzDFQLcUjYqSu+LKqkdzQVv0/0f8m0wlAmg3dbM6thw16SJPKOKSdneRkZenZz4OP4vXthp84zPYuMxdbPInvJHEpPPQJPkaFbt+SGyz9dD6ziiPT6hhFiJIbFcyJovwVaTZXURQnKfMPITzuPxUVvI0kOnPbCmPWlWT8l1bWUdLeRMnfZi5GD48swzPyjMa0FIdgjnM7QCNSeCTsOTLytGa0/ndg4M2ZcsR8pMzIp+vICMpYa1zUuU+sksaPrVGp7L4/MB4JNNA38hLrexP1pIXWYkDpMTfdXIoRSZowl9zEReIe309J4P4P976PI3WRmH0ZhyQXjbzhFCIuRA2Nq31UsMmWEbU7yp50e81uSCGFn0e9rAEDTVPbU/Jjm+rvwjmxD04Koodh3VW3NdezYcil9PWtp2PMLgkosE7CmhVDVQNR2P6ap7teR+YY9v7Bo/SWRRBL/O9hXTt2/gHmSJM2SJMkFnAe8OM42nytkzDD1Pdl0q3cgG0bTrKWWYUgqNJWLMWEoDtg9n6Hrj7DkKSOlaJv2j9Ube+5sOG8NLkpxRJN7PHiV4WAe9S7YxxCX7jH9oC3/CPJ7Kf9lieU8Fr6m73+7lTyi8u6r8RTnE42edxrYfOkLbPrqc9T87G2ULtiUDk23N7Jp/fGMDG8lOGAcwJ4rsnWOE7eI7OPvroBti0lJnUXlYR+S+qN36brLeER7Xmhn6yHtbD/e0KsK6/2NibCz0JsrjnHf92G98CY1Lcjma56k/0OjGlhTVLx7Jma8SHZw6n5VIia/TwM7Jvp3twypXoJqJ5rmRwm1s4sTkVvG+OE+7RXh4Mtx+kCKrfGT3K/GDjGj43ZQg0EswQFTX2j6JbsB4hreAF02kZ6xZxuf1eyrl8cO9PgEkU9ZC0gqbS9/DMM6611Ov1juFL1rM88zhLI3PfATAoO9bHrgJ/RsXx+z29oZ+yE9fAWuvFTmXnckuWcJ59Jlyv4EvdZ7GRZIB+hLkJlSTHGocPll0cUlLH5qf2PQO8fRfNpcfXwrqLaYgIozJzZDE7cU7/v3RMpKbY6Jvbor7xZlme7c+NIqYyGdo+CB/wcP/D8WmgTXu7iHrZMsXe57CjpuNeZnPatSemvi8dGwSday5sqyZooyvh0zzmkvIqQNompjM3WmzDOcyg1O2FwAGz2waZKtwkE9GVPw/yY2XkOj6dj5pP/mr0iShDPTTf6JwsmP7qncGyghg7Zf0xlhwsvkUHz1dU0LsqltEZvaYvsuZ+c+pO9jYiQ0iSDLXfr/bmS5G5dLJ+fyGH2vZt23zwJZOSJN63TF/oYBpKYvSrhuIgg7i3W7foqmqdTvvgnvsGDurdn2LTZ8dDQb1x+Hphm/z73dscG2zZ+cghyw3u+6XTew8WOjqkVV47cfmInBkkgiif8d7BOnTtO0IHAV8DqwA1itadr2sbf6HOI4kdFBlYQz5DcZYk4ZLjQxHWr6rfaaqJkt02miPBMYrdcpzfckZttq/2MHIa+C/b6fwdPnit4zAG8qoBnlm2Y4on4APF64+M+R2ZY5RsS07OYsUpeYHAJfCnx0KNLvr6L7SS9V01uomt6CFjSctL73DUY67+4+Wn4ofrR6/iTGtP/Gj/KCEQKf/76+bcaw6D0MuODNk8ifdgaaBr7N4K+RwB7U//QyxG7xP3WpEzmBU+elilZuFBmF/TaLhXGyS3QVoHZaM0hp8/MY3m6UKLWtGfvRDBt2jimsGJKQWMQWY4E9FHmG5FArI7wjlh9scmKueDBCmIE7IGQ1wpnbE96A10+CDQfAOX/FseIduPjPTNu6Cslu8uTfOwp+9WM49KPIoq4HgjT+PoqzPWAY2SOeN/XzSmDwZekR5ywjI5Z1aDHZP2hg5k8qKFm5WJQbZgxbrzdkF3+2kPAn841ypnDmN4xwGWZ/jbVuLoQXhTYLc2XP6FMwnE7/R22UnCey3ZsvtfLb19/7EUNbO+l4sYYeHoosX8zuCINpr4nJtO0hERSwue04C2Id6eqfrKWe80UfX5NRpFB6YwYpRbF07c6sqN7ML7wFM5pjxn2WmBMylTWq1ozwZDUO+9ZYv6cB9+T78hYVvkV5zt0UTDuX4fDzH4Wwoz4RWQPnFHxfHXocY3ocgtl4CCHe7T0YhC/TL9mf+bd8AXfh1ND2A/SNPheZHvILgpNu72OJhjPge532oftilqe7lrOk6MNI+eundeoUuY+mujsJ+MX3UPa3E1T6I1mt+Yt/FxlbsSh+GfdUYda8m1iw9FHsdmtp95IDnqWg6BzmL3pwr/ZvdgiDSn9ceYTwujC6Op6NO6ax9ldUrTuc6s1fpWb7VZFKl4C/BU0LUb35wrjbhSUVgsFhGuvuIBT89/b3JZFEEvsG+0ynTtO0VzVNq9A0bY6maZOI2X6OMLNOlIXlDAjD83STYejxwZJqMZ0f1cMQljQwGcYM5AhJgZBNZNtCUR/NbdYeuIGbl7LlhscJNWbDB0fACzrrXV+uMIjDSZWDTMb4zEbLPjhwA6TrL/vyekY3iWn3XI3Cy6NC1i+fBusOR/M5abpmWDhgqkT/y36UDhGB9nebrlODvsf1a2gphKEMhn5xcKT0FMBeGEDTNIIf6yWCW4x+NO8HoMkQ7JFEdsMTG3lP29+FOqIRGo7NSO7iaDq4RfT/OIOwsJqYts2m6fCXiyyL0hfmo/T5kEyZkPY11ajBxFlPTU+shuKzZH9qeFjKXF6lkB9ZKOsDoQYxsfIZIW0wqw7OfUpk9L74OizYAQW6AxTW+ytuh6EsqJ0LjhCes/fA7Hq6llxK4S91dsYbfw6zGuDCJ+EQw1kMtjvoezdKCsPcu6k7bUqoyxJ9Br0HZ04t7LcJ51zDsAiEahko/S3dJT+h+JxFFJ0xn4orV5C9bC7uvCxxvf4U8R2xh8haNksnJBLw9u2xHKd78wdiv0NWjbc+njDORZf+6B75E3y0nP7NO3EVJy5J3P3L92h9Ygspmngul1BLCnNJRfSmtfMLRtmAqliv2Z5qx5ZuLcP1vZsFih3WL4euIvEonrOG1pxvxD12tM4fJ75JQfqlkVk1qNC9+QOCfisTrqaqdG38JyOtddbj93RMuh/K125kq9VRF/lYM2NaQtG8WMhY3z1tXzgUFeu5K7QzzD8tRCyjbMaPINRxOYtITzuIbtdd7OI44sFpF86nX6kZ95ykBCTEYfhDtePuQ2kB9zyQHOMOBWCIN2OW2Zx20ivy4oz+9GgZ/EVkek/vJQD0jcZ3HABqe79O+/C9McszU47C7ZiOS7+vgWAj3SOPEVRjSwPHwuDAh3R3Psdgv+gl7e56HtAibJQOZybZucdis6XEaNRNNez2VNLSF8Qsd6cUM2PWNdjs8cmuJoqwtAGIzGRa+uK448JZS4C0tIVxxwwNivewb3QPI0MbIst3bP06Q4P/IuBvibtdc8N9eEd20tX+DD2dz9PUcDe+0fGf5/9EKHKv0DdMIokk9p1T91+BOW2Q2y+chuaZkBJVDueW4e5rhJFsRpjNMZ5eXXuJMJjXR3H+V+yOGar99RQxUXUQ3PMDMS27rZpVsxqEhMGKNcIxmm6K9ksY5XknvQ5nigrYwDVXGGN+rTfBtJnKrXrzhHPWVkL9l1PYUgx92lMo7SYjb89cY9rvgZNft578ijUEB3z0fdAMOboDIontu55tpUYnMgh120SGKo4OV+p+4tzjZevCBmOEsTB7EDL1TJA9CH058Ow5Mds5czwofT6UASsbo9I/RjmX/jFmHp94yKdFFqdQxh0U2Q0xa00LiWfnRJ0EoahTlPYOZkJeH5yy1ii9rdYNih8b7KIZC8pxZWXDcIYIHpS2gCbBdXpfRmGHcBaPNFGYhx3uJVshRRACpRyn9y6FM3EECarWDE7nyO9F4OBrj6F6DCMm3JtjLpPLmFvGnEu+xJKfXgaBFPG5B52guCg/74tGoMKh0FcdW2YJEOjvsjgvGkb/SSumwEhQt8JTxi/fVbzDOJmOG5H9Nkth7KCSxtutxpKvZQg1uxmmRWU1ds03phdWw+FWoqQx4ZaZlva1yOz2x+6g6R/Psvl3Vt26xr+vpvmd56hZ/QCqIt5HQ427qH78Dnqrx1HIjsKuNYb0QHBkkJn8jjIMw38y2TqfqXyT6U3g8VOLlQlyCyXs4miqMdgOd7A/2xEGbw1HsY0ETK86wpm62t74zrIZqQeMvX5715Fx+8rMkFvBNQlllPqo3tl9AU3zjz9IR5pL3CSnvQCw0Tx4E00DP2VzW2I9x3gIZ468I3qgUxPfO6fLcGbnzL+NAw79R1yB7/80LFgqmjbHEiE3rwuFhi1MO/sdNDbZSSg4xJ4dBnv1wmWrmF1xW2R+1LuDnVsvi/TW9XW/RvXmixns/yhmX//pqNt1I421v9rXp5FEEp8LJJ26vcD08w+FYr2sSwMGswSzJAhnKVwSOTNKKDeQAhc8kZhQxeeBFlGilXO6B3bNA0dQlG6d+7RpPy549myLc2izZcR1gJbeeDm4dKezUBibBaXnwtal8O7RUGcyljw+RviQWr4C5z8llqmmjEYwHOKWCFvavZ9sNdYf844QXR8HNXe+RsNvP4YFOrW9Q/QxtawwW0li/9N/lcmiNwspukpkEPMvSMM9Qxjm5r66ei5mByatATP6dOazkAP+fImx3B7EecEH7L/qLFy5HuQ+n0VwHQyR7UCgnZ1bv4miGFmMA3ywaCtknsSnhqaGqFqzkl3v/jLuepcU1cPUnwOZQ9YxC0eZc2l84Vx2GH0yw4f9DHu6QzhNL59GdcvJory2TzewOvSasmWm8s+wQ+LxRVhe/afeBSufhosfZ5pdMNh1jRi05ACDPiMzYS7dCk/Hy/aI/j0rHCkechdUCge00OipnHVqbEPghnt/QPPbovwshFHyOcBz9I++LL6rI+I5anjLer77rzqL8qusARW5bxCXqYfMTgZujNLo/rdF/0ruqTlUrVxD4x8Fiya5fSayIuAbJo21946JEAP1jcZvJ17w8DL45Q3iD3BQwO6/PcRwSx3yoNEzY75f/bs3R6Z7dCfO1yuc79GOWMHuiWLnU/chD/czje9SjC4FoZe09vAojXybvqcNKYyt5VE76M0Tzlx9OewQTtoQr5IIVUhUmXo4hZTCFsuYQWL7kBKJlsdD2qEw62+xhBXSlTqLSmspCu0Eao3rUqNiO0orOCfYXuhjq2W+ContxM/i7C3czMPWNQunNp0M9+EEgsZnr6g9iA6IxJiWfjlLi/9FZoqIrkmSA6ctts9M0xSqWqazu2fsxlyDCdL6fbfZPl+C61OFcF9dY92vkeUesnJiGYpra65DU8XnIMvdpKcvYfH+T7H/IX/H7shAkuL0QydAaloFOXnHsrTSWkbe2faEZd7ns2bwpxr9oy9T1TKdqpbpbGiZS1XLdMuzN5UYGvyE3Tt+gN/XgN//7y1NTyKJzyuSTt1eIGf6YZCvG1c+j8h2hMWiNQl2xdcbw6GITIjsEuWbs6PKInqMH8+Zd2eBxy8M7OwBUV4XRl8uNM00iBdUCc1rymrtJ6LjrtxMXDmZ5B2pZ8/mCyeq+3cBeOdY6CqEm39u7PfYd6jlbAb4m/Cplm2OYSaMxvCvdUdq4S446BPRC5UIJwhDX+3VnUMJyBgitSRxyNuz2IZvwXO4v/sa6Vdux3nTKhxFIhsVduo0FPp4glGMMhU04PGLyFm7Ct6OX7LFrHqUwvXYU5048zxoioqvaRB3odFzIff6UFWZXdv/H96RbRbaaJsbPJMLXMcgMCqMnuGurXHXZ7lPFsQ64UCBL1UQ9JQZP2ZyqIWsJXPIPbkArrtdZO6qDoTCdhwHNRg7681l1Kk7Hp8cDJuWidLfMJ7U+zRkNxz+gfVEbKpw6jqL4LJHYcWzsO5wUmqEM9kx/KDFYEx1GVmX9uH7kIN6T43u1AWCtTFlgf7+Tlhk9DGWX3EwADO+cDaFBx9jEBMBORXxJSS6Nv0Tb0cT/qEWwvSkGRxLXd93rKWjJjKhudcdiT3VSe6RVqKG0Zp+1M0VlvMMoGfOty4hRa/k6tskyga92/WMsDddZJ/tcQxo2Q2rV8LzZ1LfF5+NsLHzJlF6nCayzv6uHoYaa6hf+wRpJQaxhL/PcJazZxtOQvM/9HI7/by9HU0MNuwkJMdnCTUjHpPormd/jxYKkYUQbR5S36Hp3Wdp3HEnPf4/UX++6fJM1ZZKB8KJPfJ9ZpRfjzPNIAHa4T2RrtZnURifZj8ae/TzMMNuM/rSokXIg+og2zqOpccrAmND/g+on2si7Ln4z3D9LWhf+72YbylDpoUWQ86RUYMkF02dnFPXwCUxy/xUR8qCpwqaphDoGkANBLGPTkMOddA6aNYBVRkJrGfYL94BQ36rPElRxpWUZF5rIRICsNlie/76fa/o+3g7Zt3QwHp6ul6hp/PFuEQgAOmZk5eA+U+Awyme8aDSjyJ34kmNn2EOBMQzqsjdOF0FpHhmYrenIkkSLnecHvA4mF1xS2R6LEZPgNbGB8btrxsZ3mqRY5gM6vq+IyZCNrR3DwVNZM3l1iDeTVPLyFlXcz1DA+sIBgfGzIgmkcT/EpJO3V7A6coU1PEgjGJvuiCoAChpE9mR5R/BF9dCmok2PegUbJjedGEgV26Ab/0ejtbp/jUjQt3tEeVONqcLzn5ORP/zo15gYSbCPXPQZAnsITIqM5n9LVEPOP+qcwHIOaIER7YDxzzdyPSmGsZ8mETkzh+KnitzBPkJve8sJXEJoi1HN0wufVicY3i/J0WVXZ72suhBjIbHhzbixuaK38/gKoV6zqXRcz4j151Me+o19BUJVsVw+aVCnCb+j5bDS2fQ/2iqyNDFQ6rR2xPWivI1DuKZZRifSp+PtuaHkQOCOW6qC4SC/rF7ApxSIXQUC2cqDM0GPzKorBnMQpIkZp60EqZ1i+dPccELX8Ypl4NHv85tS7Fl6I6/Nx3+cQJ0mYyBcD/eYLbIPpuR22eU4v7DqDe1jxjkHx3Dv49MK6Fu3I7yyPzWjuX6cuOzGg6YyjyBoM9ryUJmHSj6eexuD2VHnxFZnj13mZVmfGaDZT87n7qXvj+58bCQFJagoF9XtJyHU4acvshxwmLlEbx1Ar5/5DHUYIilF/JjMfGtP+DbrGHLVC3OJiA+Hwnjfkbj5S8JB7o1flbb90oJrBUl1vMLnqdmtS4srKqR0kqAoG/UNO3FniKCETaniPQrXnEvR7ta2PPcH2h885n452OCMiJKasu/aHhqgf5u2te9jlPPWrb+6ym6N3wgzvFHsQJ0QVmc487DxH1JLSmlgG8yy9TnOPr0DJpXf8Bu7ZRxz2micNjEu2xruzXjurX9EALBWhr7f4SmqezuOQ+y9RLSKx+A226AH/3GKFFvLUWhNUKGAhAyJceDPaApE2e9demlo5lRzmg3e0fMEY3WgTtENQhgk9JRQh047KJKIStFaK3t6jmXXT3nElJH2d1jEGSlOCoozboOe5wMWiBoZHlskgdN06jvS0z7uXvH92msvZXGul+hqbFBgvSM/Swi8/9NiL6uoDJATl5sfb6i9KJpms4EanXIEvUWZmQdbJnPyfuCZd6TOg9IfF+3bzo/4TpN06jZ9i12bLk04ZhEUM1p7L+dLcr53zgJn1LNtqM62PmlyQduxobxng6FRmLIs5JI4n8RSadub5Fi+rEayhCR9bIWYfwCrFsusiU5A9bSyVtvFCWW4XEhO6Trjl9HEfTmUnxFHq3l50BvLukcK9aljsKmA6ClzHBSOgpBA7enXAxZ6qHi/sXk7F9B5d1X48oWEdasw3PY79X/z957R7lRnu3/n1HXrrY3bfPa63XvXsA21RSH3mMgvEAgkACphISQEBIgQEISQg2QRkghoYfee+iYde/2rrf3ppW0kkYazfePZ6SZ0Wht85L8znn57XWOj6WZ0ez0ee77vu7rOpCGi7MMoLR1Nfj/gpsZxDAIUXRMEcFBcuLLJdmsBXFFI7DGQH80CpyUDkBOBL5tVVkj4iXSZIe+7FLSwSqrrHzMuxV7oY14jwhQZIPCYRo//Rl8sEKcg2YxqErJwtdcsAgA28ZD4aI/Mx7eaZKSd5V44YrbwZ4gPhxJ+w7xtd/Tuexwml46jqYPDp7giOw/wiMt7Hjzp+nvI13WfjGT/51sUHio7oHffA+pNARjYuBmw8WcHWbvNbkdXA1a4P3LHzKmZmTOHzT4IY7li+sLIGTIzp/xOPRVgMs6QEv26sI63WO/pKmzFlVViSu9OG2GQPTqW2iSYHyNHljFFXPQEw8FxPtaq3DZ88w0pBlnXAqAK18E3ZXfLYTv3i6SHhrSyYGkRETdRLRzlECnVmZ5PcNE+IAmmG0W1ph2haGCo/Wd7n7qjzQ/+wAANdzC3LBOK0rurfrlULJX61LICJxlpZemToON57g3PSgHEaRFBrrIqxUU0FQABiCHAviqp+GrmU4yLtN0+5UWg/aRneuRMwRlQIisNN1+JU23X8mWv4geFaev0LRMdKQfJ9r5NDAK2GEVnhh9c4QmCeRWce2O7xEBVB4rmcpfBG18TOx7ZKM4PuV817IeCwZL4LHVmtKvFSlRDyB9HKPxZpKqHvyu7aoTHySgo1bvJ004oFwbfH7zHlqk1Qzq4qfIhkdMXPvs3M+eOju5OKmhhPNN0yNsnfA3MZrZSC0xsotcbOheRPfY7QBs6jmY9pFr6Ot6KD3fJnlIquMoyTHsUj7lvktMvw/JH6U/Tyu+i3n+7EqNRrjs1STVCIpqFktJqvo9sDdRnty8BTSueJ9Z8++bcJnPA6qm6MJCLk8V9TNvpHHF+zSueD89PS4PMNT/HGoyhs1utjFJBXmz5v+epcvfSffc5eQKBlD1lMtM60ph7qK/0rjinXRfXybi8UHa9wi51raWX9H0wcHs3PodANZ+eAgAifhwmhq6vzApzqbaL7RkseaqQVNtJ+PbPnvFTlEiog/RgMlq3SQmMRnUfXb4DQ8yY2Uj1b/1+Gq4XzOAHcsXvXRG+EKAKoK7fG0gnrRDJIehd9ugbSpsnUs9D1HEWbB+kXUbwj5QJZR+Mfh0+fee/cytze4nBuCqtOOiBhkDDz5lCSC7RIURYPG6dG8eoPdhbZ0nxF4AfEGziuehQvmMgzNeRAeuF5YGQHLHVDFt/kb8v9BpIl0ea0Z4hEdw+BOGSl2noBxuFlVGz7tf1V8ushv6K6j8wgp6fxdEiSUJdoqBUvKD+RD2MdD2Ii6DQbaj0CEGfUkbfc/tJPhOEj48SCiVAuwRFDhFMav4ZUIZj9P33E7UZPaBzsBuc1N8y/u37nVQ5IxP0wbEefgSopHPUQqM+tLUmj03GIR1FBvKKDjrDds5WoQFt10BN10DazOcl8v6YcYOOPMJQdUtHrb8VDaKsN3/Fbj2RtpHriUkr8FhL9EHkxq1c/x3S3DYRA+fogbpDf4OJSm2T9aClPprltBwzWEW4YS8KTOZeuy5VB1yLL3cSgxDQPalf0LDLnOQZTTPNlyP9SdfaFpvuE+nsgajH4v+WHvC5PU3ulunx0bXGmmc+xBcSfUB5o1BfoZy4L9X0v63NYyMCVpyWF5nvm+eP4nInjG85eaSkLdEk+8PjRLYs5VQTyvxUACXrwCnd+/y+MHO3ZZp8fGgZZorr4Apy78srC60S1LCgTNZZxZ+Ua2167bjJn7OuHsOh60GPzSt6lvJxG7eRWjWLW+KyoS9b1bW5WaWPWT6nlRjdAV+MeF6LYh4s0+XhNplCqlrfn8rdVFncUcAACAASURBVDJduKgRz3EDQrw74W/CfEKcTsI0WeaNRd8hkRymZ+w2VDWJrHQwEP57+lkKwlgdUsqXEnlucxIqRUUFKPKeutftn+9/jyLvyVQViCr1aMT83OoO/Cb9OXPAbUTDrF9NOO/zBGPlzV9pNlifodk2yPIA7XvEcVMUMy0yValzucqQJDtOp0iiVFSdS930H1ORsc69/f2aqd8xLT/Q+zgAg33CtiQYWGMJ4uLxT+d1l2JfeG2L4WFRDbSr1mrjyLOfvaKWYsyYpsn/6UrgJCbxfw+TQd1nRM7x/TDTMKiMaEFBXBsIztusK1ee+jTcYrYmYLhYUDhjLjjTTIuSx7TMU3stdvKpUn8J5z6MBTEPjkIviRZBu4r17z3I2BucfrugVyk2kJ2U9F+vz/zGPcKbr7Jb2CPM26ILQXRXQ4XWw7JFo256I7B+Kfi7YcFGoRJ6zKuCprZS8/g783HmXH4BU1JJ2yEt2AgUMPjJOnDF8F+XwMchWbc35n+b8S1xFCVKjD3wyNnw6hewR2uI3n6sxXy75wboujlA52/3EBh9G8mrB0/SSBlSrh4MjCW0bdT84ZKvLofbDA02gXyIupFjfShynMjwIEklYTKuBmi9bw2df9vA2IbsHk9OT6Fl2rhBsj+ZiKEk9BdhoetEIZQSKEQeHEOyuXGVuSFQQGS4F7kvRrRVLO8sdaYrKolBQ+/OlvmQ6uVJSuJ8f3gwbFhsDiiccaHiOnMXTNECfYcCM3UqIoiqxbTiu8Sg+/ob4K8XMvjWNgBGIy9YjKKTFS3ke1YCDvqCv6dr5Od0jYjqUDwUwO72UrRgNgWLrcIXkiRRMvcAAo5n6OIqhvknXpbQiIrPPxvqNZqYZrvh3XKhvo8pcaKEHY97OizW+y+3//N2lFiUZCLO4Ib3YKRE2CikrqGkBEmJ8c5BEsEELVcbAmdtGZvHIZIdhRmVMJsqKvgFY7oKawpvHMnA7xK0PPoIcWVQ0JjCZg+tluf+ihI1D4ZsTid2Tw7xUIDdT/2JHQ/fhRKL4PQVMLLLLCqSCTVp7eMyVvxScPoKGP7RInjqdOioTf8uZ6PBCkSxwaj1GrZg5VvpjzsevhteNSsL+ViJnWK8iUaq1dtwUsMshEKonUKm8RD2tXqVVVGCKFlofXZbHh6Hrr4bV/oZjb5sWS6F2eUGoRrFjuOlr1iWkTzgKIOo4ZSnK3X7GdTF6cRJNRI2pvMMbkRQGjVYOFh/02X6HwTNTUkGTbTJeNIwoDX4kcajQ+lgXFEDSJJEoVenf8YSewCoLbzRRGVWUU0iQwBuxxTqS+5N99q1jVxlmt8X0itvcqwPC9xRcEdxOAus8/YDCiEUJg4WP/X6kuFPbfORDclkhLgyYBGfsdl1NoJkM1P/8/Ibsdm8xKKd5PjEdVBWcaZpmfyCA/HlL0373rlcpUiSC4ejkNLyEy3rzITDWYzHW0/9zJuoqDybmqnfTM+z2/Msyw/0PWn6LssDxBMBFMWqlpotkZnqYS1Zo/sMegYOgUQGFXVEPEOSaoSkHCcZ/fTnIC5bE4uTlbpJTGIyqPvMKPiC2yDpngWb58OL2kv00j9AbRf826CENXubqLR9vNwq5PGupuv/qOiJoyM7NREgsVPPzOct37eJrb1WNIfUPxeD43Qqnj1fIk4P/PoqOO8fDF2wTP/R3d+C11fBoe+BKy7UNCUVUAV9dMEmeOdQeECrTKaqFxX9Or1tSjtV3ARf/50Qijj7UXJ8syhNsYLGtSy54iA5ZoPyAcovl8i8VFMDIrbMI96tsP6kd+jqvDNt6O576Tr4eJnZEN6AwY8/AbdM7kn6iyDSGWDj+hPT30NJs4CAhe51z7fggr+z/R93s/7LT7L1u8+z7se3sv6CJ4n1i6xrfDTK6EdiQJaMZqezKIkodmcOjasfNUwTA3hVVVn35Pm0fqL33Qz0Pg7jYtAvx3pxucpwlXtgpIgdp/Wz6XQ9UFn4zAFp2mzMswn+R6sU3/QTeEy7rnY3wBtaX8ZQCfx7pb5xTm2AuGExfM/gsLziQ+ioZWlSIWepoKUV55yOY9AgfKBRN/Pdh+G0V+AfM8hOh3NJJIdx2suRlS544QQGHhaZYTkUwOnb98Avid7glFKnrOVOUf2OO+BHt8ALJxAZaoXXjhF9Hm8fIX5wza/YOiUXjnpL2FtoWH/vNay7+2r9j7hk3bNw61x4/2C2nbWLDcdm2ANovbR588uhfg/MMQS9kjWAclVm6R0N57KxZwmtI9+Bl4+zzJbHhqlo1J8RnuIKXL6CdGUzBYfbS96UGaZpkt08AMxWlcsW1CU63IS0Vl8iXuLjQVRVJfCmYVD3p4uF4E51Jzx5GuVDN1nWw6L14O/bK6XLqVQjhweIPFmPY89CFtKBj+U0orKYESQkvBFDP9H6JWx6OXvvz5QivTIXlj9Jf17g/8i0XH3xfWnZfnEQXCSy2JcsCUGiH0YeglQcKXcBNnBOXJA0QVTqxHVayMnMR79GBvnzhL8BPahT1STrumeyvnuuabmtvYZ+LVuS3DwxX472mWmyCK+5FCJxkXgpyzWbWPfxa9aTl9W2wmkz73BNwXXpz6kgafumDEuJ6k7R51s+QFz5dBWgFNaTx3ry973gfiCuDLC+ezb9oT/te+F9YF33TDb2LKVl6PL0tMHwI7SMivegv+p8y28kScLpKmOw7ynCQVH993jNPN78woOYNe+3SJoJottTjdtTtd+WD5JkY97iB009d07NF9DtqWIs8Ilp+Y5WQeMtKBTVXDnWxca1q9jQdKxpuWCgifUfH0MwsNY0PVWpk8b1Z3f48Wr4+r2m5QYfDBPdHWdd10w2HL+edTOztE3sA6YATqOlTgZ1k5jEZFD3meGkGu67zKRCmIaKJeO+kH5Kpq+E664XhtGrXtM9s9YdkP2PDBcT6mll2w/fzj4fhBy9TQGnTM3XaydeTkPOOTth1SvYPQ4K5ugDQEmSkOmEtVpfnEYx5PrrBBXRmHXLC4lpjoQI6mIeeMEgApAK6gzKijO+cE1aaCEFFdVq3mtTceYWggPipTsY5QnyOJqp/I0Fqay1im5mvnkOPKbTmgK7t+39AGiBTqhT71UJPzTVvExrnTB1zw0Kyf+gNbsJkPzZlTBYJKq0LcJIPdotBs2xPj3b3XLHh+lgL73vqsrA7pdQ4ubM565/38Rgy+socbH8aEd2XzYAp7MEd0We2XYC8M7QgtCUlcWsHXrfZgpnPiaqxYECcTxTleYPVoh/BiqXyavw9WOYU/6KoAXVCLXD9m+B+uFifRmtn6K+5Pe0XQa98wwDx799GTnRr/c/RXIERRbSFMK9Icp22tAHjnbE8i5qxD6maNBvHA3dfkGNRtL3L2EYGG3MosD30rFCfn+4CPXtFdQtuxSap4ueQg22vASgiqpcQYCZNx4uLEg0NNywlDn3HobkMpyXomEKT7cz7x+LqP3eNJzGW/WRc6C9FgZK4NHVIDspP8gshe705TPvoh8xddVFhO44ALvsJzKYQUWSbDScegkejZ6ZU17DoktvMC0SD1qFeeSQdVp4g35dStESxnvbkQOGLPk5/4QdmnFy/hjEXVQXXWNZD1eKhMCWl6+0GNQzTyid2sPVmlopDHcIinb7G0+w5a+/JBEN0/bqoyRls2+cEtKDxBhtNI98jabHzsKtzGBKoUgitI/oXn5Ou37+anw3E3hvnNi4NevPDT81fTXqXsS1w917E5DcP+NxhSBJgjgxD9w9miBVNrGUAC/TjzhuMuK4ZPpAptevjolERkctyG5zJUZLbE0tEoP2aNzqeSplOLGngsxYhmk8gMdpVnIs9B6L1ymugaQqnnuqmtE3JenVmM7xnzDEX7Pux0QwKoT28tnpmymZ/aHxxz/zulIYjep01JHxZ0Xis7yPqinZPRMdTnN1Oxjbu4dcTd23mP4ZqatzF/4FX95iZLmf0eF/Z10mxycSAl3Dd4LiQFXM91wqGNy9/QcERsU2j42/R9eWB5EixcSGMlgKm8TzteIyPdnc2SSUeZM7KzNdLvYLXR1/ENuaOxu3Szznutp/Z1pmePA11n50JNHIpN3BJP7/g8mg7jPChgcqBuCcLLTIw/4NI6K3LufoEfxci5MyyjwXwbytwpDbpuKYvXflQ7qq2fHQXSTb9YGu6+hW8UFTwrSX2CBpw16RQLLvO5NXd+5Kio+uxFdfjatIf7lE+keo3GroSUn1zZynVXj6M2SWc8JC5l6xw46ZegABwqgasPkkKk6aycyfHkG+7XDsmAPdOGbp8ZSoROyTfJzlSVrsZ0DEgxJSKeF8lPZcIRwS8okeqkzEHTg7l1unG5EKtsf1QbjapMnvL1onqJV3XQH/OA9e+wLsmqGrjGbD9jmmr6EBkYVPBAz0MBXa/mDujZHHzdnFugN0mmJb0+8JDhhEFBLZeyWTyRgev7VHzjtNBDC2HIcQN2mdBj4zlWbq1JtwKH5BMd2LEE4mnEv78TpnExnsxlUN0a0w8FtQvnO9vlCvH3Y1YFN8JrGJFGpH7rf4isXHg8T3o1KX6e8VQAyo7BRD3G7u1/qXmdZk9HUEhE/ibC0JEMgXx/mVY6GpER4/C7bOo+3m3SLoNATOyaBDCBf5wlA0gqMUWl/We2bzZ00jp9TPrJ8eCSWD4l/DbkZ738XmsVN+ph/v9Awlzu//Bm79Pny4AtYvprLxeAobFghPuy1zURUFT2EZ7sACBv8owdZZyNs9poFR8ewl2BwOypeISr+3tBK728vU486l5ohT8ZZWEu7rIBHRA/xIoAM5qFXqhoqhtY6qxrPpf1u3llAHxPW0+2lDdSNgGJg6EqBmiPpc/Ce47D5hywLEQr1Ehs2+VfYGUbmxhUrTyQ1lPMH4QDcDG94jOtzHnhf/weDmD4m0ZyQlgLg6Qpx+NjOV0dfEs7T5w1tw5YhnlaKKim5t4U0gqZTknc2M0gdJbC1jaPOHtL3+IHjD0KNdi5IqElbHvgQlgxTc9iaRwW5KtVsz8BxErS2Je0Wq0ubKSGjN0K5bGzkkkYkaqne70au1Y7wCZIhRZMJQkRsb/SjdtwVAOAePKp5Rcyqe3+f2ps5hIkNROBbtIhQ026447RX4874OCEEaIF1dmj7rF6KH1HBJDAeezWrvMBFU4oTQA5AuriZOFnrnp4BevTUoKCbHTVXM/UGqDziFWKKdUMzwjHfLKGo4beVihJQx/No5sHrvvdSuEks179PC4Swkr6CRRHwEh0Mk7NwecxI4J3c6kuRCHtErqma6ozhmyeQ4u7ddSTi4lV3N4uZQB3Ppf3N91r+dt9KBZ5EYHwTeHNXvN/hUFMzhwVeIa/1z5ZWrKav8YnqeqiaJRtrp6/4ne3b9FDUZY8v6s0lmoWlPYhKfR0wGdZ8RXrRAoNAQmKV67B7SKxM1l8+kGmEs7crRTJ61SlbiXQNVKouyIGP58MkBegP/0ibk8R5cp2wQ6ps2BaXPBkjkLpigyT8D7tJCpv3P8dicDvLma6IuZz3C1m++Ruv11hGLp0obMPz4Zn1ibbu+H4odnj7d3Cdz3Y0UnebGUWSj5oJFgpoGeDAHQLsQ9A5Xynqr0mBS3ZcUQhhvHkn0mRmMfNzF1u+/guf9r4rAzLAsQ9p+vHso8SdWWPah8HJDAJVSdXzqNOvBsSeF4IsRSVvaEJ7lH+j9gxOgd8fjJBJB5AwT82TMTD/b+Za5glI6zSxP3fL+rYaVVlIz9TuWvyVJDpOnXgr5BxUQGewhKUfFOdq0EEeoziT933P+bBK9WqAykbeg37yvkhNcthoGN37A1r/fyvguq++R5FRh/WI46k2Tz5cRe46qFv05BiGTjb+/jng4iMu39x4tN9NN38v4GgDj8gY46QXRA5ZC5n69ukr/7IgLyumBa6CzWgRzO4S6nMNtCJTfn0DlNFVln7PdVPWtOHk+kk08XnNnlIiexJm7RD8iMNYmnhGFK7J4UaW8LhU7dreH6SdfBNf8Au6/JF0VS6kwyu/Uw61XwfsHM+ucb9P43duwu0SgmFMmAoi8KWJ/SuYcQMXSI3D6Chjv62DD7wVtbny0ja2vfI+x7k1gs8HN18Jd36H3+GWE79TojvZEmn4cHRYD6llnf4uZA+beSoaL6d/1vLDP8I7Dsa/AUWYPs8io+Xpy5mn3YqgAOSIGj+Pbg2x7UL/2U8I3asiBr8x8b27ZcTwb0SpwGtV13PERuyVzz15xzql0cS1DBb/B5a6h9yMhTBPc3Qp/u1DQ3fvL9OTNsa/Aj39OgGfZ+vdbyT1TPO86vg1bzOzWfSJVactkKbi0yl2Id9lEHVuYQ5w+iz2LwogQTckI6uqKdHESVL1/uLj0WPILDMyP4ZI0JdLrnE1jNmaJAaqWJchUFN68bjU7Nl9KvqQHnDbJlU7ObB8QliN2RwEl5SdTWHyE6CP9DOjkanZibk3YiH+CpfeNpBqjM5CiCOvBRPPQV9jce6i1krwXZJ6Pzb2HsGPgNJLoyc3NPYekrVzMMAQymuVRfyg7Dfc/CZdGwRwP78Rmz2X+EnMvv9NVLvr4DAmsjU0npT8nMwRdtm++BEJaZVhFtD0Arqnm49jqXk30Du2efP4kk1pxqGvPfm17MNDEnl3Xp7+XlB1PReXZ6e9xeYgt68+hs+23pt9tWW+mF09iEp9XTAZ1nxE5LGYhPXhyxCDTfUCAaT+y0rkcRfqhdnoKWXDS7+CYDDqlIw6L18OBGVS7oVJhZD5YAqjpapg8MM7CtZXi4Rv2gQqlZ5R86n0oOnAKRfe/IhQtM+GO4lo8xhzvW0z599Z0z9q0K5fDGf8S2Xm7IiwROg1ZxHmbKCk7AVeVi3ifYspAepmvB8PoQgHzNoNjaS85iw0VMcUhqFB/uYjkU0fTcqugZTl2Hgq3XQktugkzf70QRgphna7eWHurh8LjvaJX0GhGvKde/L5Xo/+5NIrJWY/CPXpDeRoRQz+dBPj3kSnurmTDmmMJ9TSDoXKqJswqialKXf3y/ZByB7y2OTgDs0GF/MIV0DYFpTMPe4H2NzwRav4yzPQ/lNE7+ie2PvdDIRuv0Z+ciSoh2LNM0GZiu5L6y7tvgoHSE2eaKqKOEjvhT2SCOwQPTbVlUTMrHktbB/TfZZ417V9igJ7oFZLrVrVBdZ+VutT1M59mZvE+VYhkQyzRBk0ZNOaMCqt3QBtYHPsSjkX9eJouxHHMRnhrpQgw7xeDX+eoIfkwWgQDE/S0niEoXO29eoDucpj7jvwHmoP18QFx7EpPqoI/ZNCzQlqA/thZDD0g0XKOYV5XJeE1sEcbx8ifaPf7E19kR9VUYoaxUa5/Cgu/dj0lcwwWI6BTW1Om5P0t0FlDpHsAh0/v9UsXIbzjUN2VvvdTsHt87DzcMMEbgYiXQM86ivuvhLcPJxuiI+agzuUT+zDw8i7ikWEhcJOBULe+Y+M7Q/hn6dVXpccrLA4eW50WNaLPbzGT3CWdQB/CumBLdH7WbePtleJer7daCChuayKn5lbLpKzQK3UTV1pSVbEWvpjVniVGC20jV5umeRyG55+iP2PrpgtBrqkN15mW7+3SK8mLq3Ywp/xFFleZ7Ty0lQHQzqX6FINpdbHrdBZUfsyiKlG1c9j0BEhTRy2J+CAuVxlRTYglx7mQhsSr2C5+CEY1pWP2TwUxVaUEsKP/nVGe3a/fZ8IYiKXETQbDjxKMvQdAIpmFjmtAy9DlbO1bRdvI1WzpOyLrMtG4nhhNWT9kCqlIdnGt5vlnCysgICxbVU7/00ipaoZDW9MBnmm+sxSnK4s6MhCNtNHf+1j2Fd/1LXhZ77+rfaKb/KN0JkLCv9lsAWXArpUuEiPZFYR7ux6k6YODaW/5NTu36irYbs+U9OdpDdcDsGltdgVXOdb9vzZUn8Qk/i9hMqj7D8CJH+epH8N37qDqb60UrTQP/mzz9uCZYW68cHmLmVvyhp6syw2J4MieFNn8TPW8wVIx2HDHTIMVZ5mx2cOJq3I/GjyywF3pNfdMgRjgxjzYyoPY8NL+W12lrfDASqHod/B7VjN0VAgUUTvtSlx+O6oMwffND/MGXqKS69Pfx3iduLudxFAC9UCDxLc7qik1mjH4QpugE/b5YZ6BDvSAWbkuWdZBxaU+am8oxLloSFTZssB2fPb+Ags0A++G38wT8vTFhqb/ZR/ox6JjCowWMPJOl+i5Ofo1AMabR0mEZWLhfsJDu8gpFip9hdXCKHmiPgdkJ/RWsOvfNxEPhigrO4dpDT+Dniqi21XGRpvgkHfhpGcYH2yn+dV7ifYNwm+1l2BMDNaLZx9A/vQGqr8/segOICoznoguv79c7/eIaxYSIz9cCs+fQOE11h4dtW+CoOz2K8g/UVNQXAqiz81aXd5XT51MJ3kcg5t6fKxI08WMXmSAsNV491DKG4/AM1+FJWtxLdeqFA+fQ261n+h6B4kNVdBSL1RFU/vZJWEvNGTTd8/QKjmGe6xkCBZr+5+q7hYNUzjFHEj5l63Cv2wVs84W5yMyKAIESZKYNePP2K76g77wBr0vse1iGDEk0oNvwB6j7kKGlUCPufCLM9cqLOHw6lXdQOs22p/XB8eJ8SyiT0mbsLFI2bRokOKG83b883Dys2BLkoiFyO04B7bNTT/fph/yA6Ytv0LsQ4cWMBWMUn3kF3B5RGJFTSgM7nlTVE73gmRYwZe/EKZrA2fZGgQCoNgoLBc9iUXeUxiXPhDn7+GzRQC/NxQEqDzG3M8o+az+WmVZ8j/ZkArSnGQ3mjcixLv0GJ6NNkQwPRZ+29JT57T7qSn4idg+p3gXVNZcjM0m7neP10yt62q/l5ad17Jn189EkOaKE7d1kgl5NGS6znu5lVH51fT3cGg7LnslDpuoqHscM/UfK3ZAIk4vnaOiIqaoYYYejpHcOhWeFFX0OHovaJTtjLNhgiOiX+MlfDn9uZlTJlh+7zBSWOOKSM61jXzPMG1iimsiOcpI5Dki8e0MhvVEV13RrRnLDeCwmeX8I3ERPAdjH9AfeoBgznOQHyDoeNWwi/sngvJZkLI6SMSH08qa9TNvwmbzUD3lcpyuUiR7dtZGT+cD2Vca8YhK9581kbSjXiehDmDLdmvO2Jl1FaOvWFU2QVyzYFXnnDVfF2Bxe/etI9DVZu1bncQkPm+YDOr+Qyh3XQLf/w2+vEVIDvOD2XXQQFbFKq+rAdAenhffn87WAUItDqDAQOuUXaIypiGvUQzYJLdGc+iv2KdH3UQorD7QMi0/KqiJSkbiMndWCQlF29YTXoTSDDWz0kEKVnmw23Nwatuz6xzzYMRFFVXoWeRdHMPmwcNAgUidQWLcv5cekvQGTWzh0LXu78i+rZR8MRekBBz8QdaXSjK2n4aoVWIgUjBrGszfArN2prP69toYzNgtAqGYRwSYoTzUmAoLN6Xpqnvu+ojNL3yL7W/8GFWRKag6AMlmJxTcTPOOH4o+xUz0+OGdw9JVjJKSExjapKuXdb7+NFT1gGRj+CNDkJWqvmkKrcqoxIwzLsW/fOXE+1g8JNZVNiioU8+dBFP1SknJRdpIPe6CHbMZX5fAXqSpoKbgMDfXA/DAhbDsY9r2/IzC0yEZFSIL2YK6fVXq4prnVyZMPUfLPhS0oLAPxwcn4161C1a+TaD/Y5i1nYLCQ3EYkyIZ3n2JfnG8TGhuECb2U9sE1c+exF2W0Wt5zsM4beYMuN3ppvrg48mtnArA8Db93PncB7Hk9AcoPa1CnN/ExL2bY69ALFthJfV3sifYM6Dv0+4n/2ie1ZdFyjHmEUHdiB5sNZz+NVpfNvTeXvhXcR8m7URaR+h46RnBMAgU0HD4jymsOoCimhXY7G7CrVrFKzeMp7wUn6Qr7CbjEV1xdS9QFYXSpdoza2yCayXqYdT1MEtr2qkv0QZ0/zhP+Ghm9MBa4Izjm1GGlK9Xk+LhADMNTNKyb4Ati4hpNsTpwk4xNqzXejbD9QDPpT9P5W8gOxkaecaynNNeTnHOGQBISSdlFadTVXuxPt9VZvnNyNAbDA++xPaNF7ONpWxJKQlrkJVe1G3TYIeYHmMPXVxFq3xhepmUz1kKkiRhkzQ2g0Z3Hoz+lVBMqI368y9nRNX6zpN2UHVKKsAW5rCNxWSH/lxxse/B+75gDNoUNSAsRAzYW99i8+DFWacXeU+0TCvwrDR939Z/HKqaZOfAWXSM/lQkcAvGTHGcyj78Lv8DMF4TdrtI8BSVHMWSZW/grz4fSZIIJd7Tf5AfACSSyfjEPX93ZrQFrHwLWR6g/CtadV9LagJwxxXZ1/EpBFOWLn8Xp1NPMrmyXOcA02bcmP48PPhK1mUmMYnPEyaDuv8QCjmNRtSsA03HwMwsvxBwoVEIVGDpWr3S40zAig+EiAOqGPgGCtMD4JoflzDzblEZmPGyfhodpf+7U5pb3IDbJVTNpNUvULVkNWMvibdNXB6k6Swz5SIe07bT3wdHvaHPsCfAE6PuFjG6/FRB5rWaSp2/F9tTXxb7X7X33jXxN5Nw0EeWyc7Lngcb7Hnh72y6/0bi4yF8NdPhmNdMy7lP2CGoY0b4gvieud36t1xZgr9Zoq/IFZs28TKdNWn/t7FtraTeYJFAOy6veDkl4loAXzxirtQG8uHO78KmBenzv/21a+h8+2nr35kAjRuEaX3v30TFoO8hq3lrGke8LbiwKTx4Pgsa9NFs4flmsQq5L4Fy5U+gpkt4sdV0Cn+3TMwSwXQkvBunJq7SMnchrBFVytxTdUrrtrEj2HlJCzvOEA3xyWSEps7a9L94p5TuTwpE3hDTlH5kuVdcg9+8Gx5frW/jHhtutEaozhqo7sLNDFQ5YxDV3IAFhoAWgJEScnPnwfuHQI+fWKFZGhx3zCKCkIIxuZM5QKr7QT3OopzMn3wqqPsxJtxrwJxSeLVnWA8UDwtq85W3wQMXsnvNTwlfq1GtfvYTc4HBoWcsUAAAIABJREFUSNOMO3G6xDolSQwM07CpxCPDlHA+NYdrVZfuKhFEGpElQRAPBagji/oOiAo6pD0Jh/iz8Fy7PQvF+TCtMl7TwdIrDP1pLpldg+eS9xVd1GVo+1p2Pv/r9Pca/eNeoaIwwL0oZKf11WoKlwTyobvSNG8pcXISB0C/IdjODUFNJ3k1c7BJbpz2UpZU7iapRNOS9SkYB76ZiMezK2lu+lgEiQTz4YMV7O67GMbyROXVgHU7zYnAmWWaJUtqW+1KmnrYlnMO3PsNMf1PXwXFzk5W0oREDJ3q2pSlUqUa+tOcmI9Pgv23R9jYcyAdoz9LB3W1BaKsnRnENQ+ZbTJCsbXp505Izq5CbLdZbYRyXIss0yZSLy30HIfPtYyE8t830LY7dGXUpDpOU2ctW/uOT+9jUo2m6fp5ZQuFEBoq23efw8iQqNZ6c2fSuOJ9FjZqVf62OvMfKR6mp/NPdOR8lcaOGqbem3rm2MT7LYUH9V63tqsy2ElA+8hPLdNA2DV0jF7Hph7R6+xwmrNZCxqfpq79VfYsmUXtrpeyrWISk/hcYjKo+y9h/vt+HKU2ClZHkQcmrgJJMe1l0FchgoGUDUBqYGRTRYCXelFq/U99z+6k9ykRTPhSrSuu2H4pX04ENewAp4xKmG6jKvkMM71OkiQzP72xCY56Hd+310KZmD4y9hoDza+mK3UAatyaipvHLnj9KFj9KLx0vJiYFyS59A3LsnuFPaO5/cCPiXv1koY8NkK4ew8uXwFzL/12enrRSV5yTx2Eqa0Z++ikruFqOO1J+Jph8Dh3C7N+LvqjSr/kE0bsWqWyNEczZLZlbEvKaF3R6EyyuRLjTAV1CUNVNjcsKnYFo8JaAUTVKVXVmkjUxIjU4a7uZHREz7wOvdBP591tUGQdZDrnjYpjMXu72DcNrvxCOPsx+N7t9DaZM55KKKYLz6R6kabuEf++8JIw435Oz2Q78nNxaUxfudmW3s5osEf8fvpu8MQIvuwitEbrH1WsQWhkrI3RyEv0aV5T/W9uYejGKlAclDSYe10Gfw8le66HYK5QliwZoppbCHy4D+XZCRD+l0aje/cwce3N1VUi98WgKmwQ/YBKzBr4Jru1QXiDldI6EXIadQPsgbshbM1vmFC2cAXFczL6DvvK4aMDheIrwHU3UHxnE6x8E26/goqDDf1xmxaK3tMOLSGliUTVHnmG5W/ZnG5yikSyKJmQIaBRPzVBqJQwSjrQTPXEuQzRaZm1FyblzeedrVNJPaVaQOPVqN7avdLBtxlTJnieaOv2shhJkph+6sVUHnxMmiEQ7msWth+OpLCBMCSZbPunSbX/So3BfPF8Hy2A7kqciWlIOOgN3pt9cV5liAcZV7ewZcOXAGvFQjJ4MVRP+fqEfzqEeD4kk9Z3VbRjzKp6DCSHzM8xl91vVpa1G85hMCPoGdMDix5uZiIoBImh3wtFnE0duvpqhC3ZfmaBqirElV76Q39EVnqxSV48TpFs3dInrm1jdV01ZEeGxq09ZBJi34u9pzGjNIvyNeJ4zC5/xqTwm9kTmYLT7sdhLyYkryGZaQfxH4YxsZTqH4zE9SReMPYhdpumjOnQ+9YiQ/q1P2O2SEQ4XSXw/gqTbREgkkBAZFy8D2za8SrwHENp7pfSi1XU/A/87bz0951nD9BU20nHyy/T1FnLwPA/su7DaORV+kN/RlY6UFUVSbLTMPs2CooOo7TiNFyuMtq+L4LEjh+P4fZ8NtXQSUzi/womg7r/Ety1Dhatq8Iz3Ul8QDZl5dWEihIRL41Yt1b1COUJamVBlkGmUeihWlBW4kMRuv65CVVVScpR3PNlJJeDjF5sfRW9TDgvBZdUC94IrpxS3EZ1N5s5GKs+d0Ha6FOSvGIQe9nvCR16C/YDWuC0J+lYdz/ta/8IBXpVJ95vLSN4aBDUrQ8NapULNokesDJD1jJvTK9eVXeme9tS8J82WwQPgJQfhcPezTq4dubm4y3RX7L195XgKsgTy1boGVubzUsyIgsjaV8YvvgY9spxKk6Zja9B0NBKV8wVNDzN+y3RMUGVpVJ7GaaqXznmbU9V6syGqoiMZl7IHLCmgrrEfvROprzaFq2neftV6cmtNzVbt6OsHxxxCk6Li79tU4XJvBHVHaCqhHva9AoHkBiUYEAbTM7frG9/ZS8sWQ8vHCck4zWE4x+RCBsuRm2flPEoLNoAS9eZ7BvkSICY0mrdvbG3aB76KqmosHfVkXCXoAH58jWxorv0xvodJ44hfUUbJDx1GpLqQsnJrgLoO8pQHSoZsgpnGI5/KV8V1UkNfq4lE4pBALBopqCZpcy+kwmZZFwm0hxB2aYlbwqy9LZlwK7FfwWnwEJDW9T25SB3gDoBi1Gy2fEfeLSgeqYG4XdcAY/ogy1qO/CsaoOv38eUU04ib9ZeHLZLRfUhP8PwHMDp0SmbXe+9qFMltWsvNLANNZnAmWMe9Pv808ApCyqwPSmCwHz9mMhjI8RGB6ko11Vkpi27EldOGbMXCEppyfD3IGEnh4No2fpj63Yf8q4I3gpHqD1EVHUL6+dRteyE9LNDSYTFW3KaQRH4hOdh8TqTQqWaTGTIvuuQaRX7xKFZ5wNUo5ulExKek4k+O7LSy2D4QfPCBq/JVs5nW2g5ckxsSza6ZUnZCfirL8RffZ5lXgo7OJQk4/T3ZglQ4k5z7+YsXfF0XBbnL6GMYbP58EgGWqsxufWdO83r/IWeNRzC3KeloO9fO99If/bzIyRslHIxZYhmxkyV0IkQN1TAYolWnPZKEYQa4HMflP48Enlhr+tbWtNCY00H00ruJt9ziNi+vG9SkqMrMTrtFeS6lrCwcg0eh7g3AtHXsq7PZfczGnkRgMHQg1mX+U+isFioieaXLbXM2z14PuTGsDnclJafbHlfSTYHTlcxakIV7/Q7slTAHfq7PqnEyHMfgss+har8K6gr+hXT7i4mZ7GTvr6/gEcPYlO99/2XzBPvgFQyO1e/JvzVF9I8pPfOK0kxLigoWk7D7F9SV/8DUwI571A3JeVCvVNRJm7VmMQkPg+YDOr+y3CWulDjKolRfRDbevNu1h/9scgwyVrG0hsRA4mj9lGh0nq6UoOOgfXvs/7ea4jFWlFDdlrOsVbDgu/AxkpYvw9hzGTQhrMkByVoI6YlRyWXeX1V58zHN7sUWe5HkhzMX/ioab5ywZ1w+Dvp7wl5BL4qRCDkHmtQZ+HoH/quCGRCPpjenJYop74F5mwXlMwDDHS3I96i8dHVVJ+7QCj0AbbavaiXSeKSb+yoobFDZO9sDi1o/p9/wjeEFHL+YR7dtwtgSgeLP55JzVHHpyc5c7UBqkY17PnNGAwX6S9Bm7a/KWpnyQhMbbEEZE6vODFyLDv1xi1rAYojTuW0C1j6xUdgUBu8le+lCpBqWteqEdN+ljHothn64DwxqOzFNzeDrqV5DfavzSj/HPgJXHkbtvIoyrtzhRUAQEWfOGepffz3EXDGU/CVv0DjJ6I6GHPjWmSgTQUMdMBUBfLrenViU2MnuwcvnHA3VTWhVzM1uOvB42iA059KT0tuq0V9QShy4gvR/2gv5ETENbXMbPwbihiuMVecxubpNKqwNHUJG/q4KtQfp4Ow6sNOTluXpBDZDOsLYFhrQUuJwKTMvtfd/UPWnf0cWxsMpR9jX1mVpoSoXU9LE9CoQu0dYrJntvWYbJoCayfQDwFw2AvgR7fACyeICZmUx5xxujc/DEiUTj0S50SJ7pVvpgdw2WidakJcX8lEnP61utqv3SP2NTS4jbVPnKvfSxqSsgIV/eL8AJQPQF4wPX94exObH/g5HU+I5EL5jBPJyalnwYn3kFMklIiHdr0HT55BiLfSQkEAlcuPhe/eDgetAbdM/UUnklc1MUUeELYyKRzzOlzwdzaGphNCCC+t/ehwNjadRCRsVc3cgRj013KnZV4Kfn5omaaqUTb1GCiO1Rq12ZmRnTNU7V1ua1A3teFaqqcIyw+nU6uo1HQAqqmyto5cuhJaQsIk1CXpz5uCUZFs0gSitjVdzNqPDmfDx8exXiog3qsNKcr69aTamM9sdQN6EsiAAkQ1P25Q/lQQ2+HnWqr5eXp6JSJI38PZ7A+ah/ReuED0NVx2v8Uj0+c+CLemJppUjX3N+nur3HfJhHYQ1QVXM7X41nQlymnTEyGSZG6+XOD/yLQeu62AfLeoGCaS/zv2wKfB9Fk307jifaQJekIV+wAVM08mxzvPwoJRi3sYl7exbnYXGxut7REzHy2jrv5H6e/x+AAOexELKt8jxyVYCsWn5VD/WEK/Rr6Xhcu8bon+OWccajuoX/yT9LWcgqxYt2HX+TrNVXJKOOxinNW6e+Kq8CQm8XnAZFD3X4arXIys4gYK5vDL4oGTDCsUVB4gFB5tKjaPA6a37HV91d+sNlWUhjZthK6qdB/X6BPW8tSYxpZLjsG2A6D5TMsijH7SzXjLCHaPA6VHrwzW/stMe/OfJkaQcXkAp6uUeHTvL6C2T36fHvDKPebBiNyr0HK5OQBzjswTfnNBrXqW6k8z9qnJrjTnH3eM3e/+ktDgDjjzCfifv6OcZxg8ecexufQBa8o7zAhJMkxzy7i+8QJTbyuid032rGoKrrxCPCVm6XTPR19hwU8uxXVItwg+F26gouZc0/qJenEkdBW8rJW6Hj/c900KHvon6idaUJdw0nOtE3nY0NNmV6Csn8Klhl6w5mnCriEFpzCFVhZk4eVVdcOStVAyDJXdFB82xTxfC0g7vpk0UaYA5l/0Yy14MxyA3dMhNyaoZMNFgnalOMQ/Zxy6qqGnkvEj7tEDqdFCsQ2Ab2A1vlufERS/FIIZwYLbTFuUlQ7Ybe6FyzsCZpX/i3kVZo80xjW63oxd9P3DIBtvsyZD6v41CkvNEuNSliemY7iO2TVPM/Ocy6lotEqcj4tdY8+5EO+DHTX18PMfIY+MEetS4ZGzzGqMjri5yjylXQTXjU2weD0dd7SgJlWKz4NZ70OR1jpYN4EwXTYkesUfkD4+3Kzgmt7R1AcVyWZP02UzUTBlAZXzzmL+8Xel/fHEjFHwjqcFiOIhs1dZ/aHfNn13F5ozTkoszuyjbmbmyutN2zT3/KvSvntiuQizj/4FNQv13hyLKNXrR6U99hpO/yqVy1ZRjF61krCObGeVmZX2jKqoafRUMTDyKE3vHyqsVbbMpXP3/fT1PIKSDNM6/H3iin5P7035ciD09wnnAXid80zXRDW/EPdjR41J/TNbpS4FlSQFi2qEdY1LBiSL3Uf6uTpzJ3MW/g27I8P/cpZGaXdkoX3snoqS0BJh5X3g76GwYrkpoJ7Soilovn4MlaFbsaMnkXIRgjmD6F5tLurg6VNw/fMHjEXfo6mzlj1D38JBFn/HLEgmI7QOX8V4PNMw3W/qg7NJuZTlXsjMUiE1qyT1BILxHKZol3tDbeGNzC5/HpdD7/+zSYZzZK/E5TBfC5LkoL5E0Px7grczLm/bn937zMim9CmCXRWn3a+/G43PXLvCeHwjaoY7QeUVecx6uoy8FaIyVlRyNMCEVgLRiMHoPTeLOFiX4aGjWSGk1EqN2NaveyYmhhVavz9M8D1948bejKLGRJJxdPhNy+8nMYnPEyaDuv8ynGXiYT6+K0y0I5KmXQL0/qOb5JgtnY0unLaYuUse1KW6gfzlhczUmG4NL4D/gmpTpjYZcEB7nf4yzgK7Ick83gSj/0pbVKXR/CtBtYtuJy1dXvLtAMXHlFN82BRqLlxM9bkLkGwp8ZQBHPYSRrvX7HX/x0ea00HdeJu5Ebrr5lFGnzcLlMSDYzifv1xvvHbJYFPw1dWRP1UElHZHvujzq+mAvCCBniZ2vPkT8EahcR24DVWO3DALv3Z9+mvFUqt3VunCgymapWcFZfd25MigoBkiPMZmnHGp5XcAM874GsWzdQpLdJuK05tPwt4rMpy548THDUGY1nvmWKdnrlM9daaX3w9ugzcPJ/CkA3m7YdAZyaH5Vx/ocuO2JLhlph16Cf5lq5h69IXCBN60kbsg6qG9+WY4L2PwaE+KF6Z3HN/8YiRJov7EL1N9qGY2a6wYvXyc8FCLufAvOwalsIvkcAYNdPdMiGmVg7DPrCh53fXwyQGwfQ5DT/bAKm2AFygQwS4Q+lMDoSeyDEyN12vxEI4dh6S/ykqXLvBhgMNWhNs2HWZnDJCcMtiTJGMiAz3rvnmUnFBG1c1J3DNVmLMVAFtuAtwyU35Qbz5kJRnJiS7IpZG8yhnmBIGGWKv+OZ1QGSxj6PlB9lw2DB8thxFDhVSj6xZeNkDeGQExmM8LiYqYN8LAE33EB2QkCXwrIBXDFBv97DKQGCXtYTf6LLTdKipKqhqD311mWrb6Ditv014MZd+C/DPM96szp5SquV/E7RNVD3ehVgnyyORU1JGIhEkmEukeuBS8RVVMWXpJ+vtY/yYT9bzhtIvJLZlBXtlcfGVCoGPmEdfhLa3EU6wP6G1ON7nF05Fse6EjD5XA5gXgjlIwdQ6SzUYtd6Rn57PKtLiaTGBLFJrXcaQYDNqmjOjCOYEChrd/BBG3oIkF8xnb2EFn6510j9/K0Pgj7BnV6YMOzSBdVRX6gvczGnkNVVUIxT6mffQasiLugKREoecYGhD0PBdTKOZcYfXSWatXESt6Ue3ZZeEBYuxi0HmfeE5qSTJJzkiYBArAnsBjn0tObgPFJRkVtlTVJsv9xoAh0NKu11HH4/CO/swtc+oiJKPnnklJQE8+5XAQqNAXvy2tAhmnC755D+1XB9g1KC7w4chTaVXNfaE3eB9D41ZKacpXb2qxMNFcUPkRkiSJQAZ3OtgZibxIIPoaua4DKfKeSkVe9veAETbJTa7L7FU7tei29GefS+9nnVIofBOLvCebgsxMsZb/DRLJUcLy+r2qeWYGdXZbUXqayy6C0lllTwgKenohxdRzmELFpXn4lop3lSRJVNaI6mhaVC0DimJ4L7qz9BGuOVC8b9boxyuu9BKJZ7HQUeMkRhR2rB5g6BErxdK2TqM+u7L75E1iEp8XTAZ1/2W4tKCu7eZmtpy9nuYf6uIdvX/tYuzDgPADA6JDvXhzpjHt1yJDVXSymxm3zSHvMEG3KtCYf7nLdLpN9B1t8FGSJduuIZ7lmd6fRdgRoOCwgnRQN9RwLf3NzzDtW8uoOGFGukoHIgCJtobp3favvR8AENQJRxy52/xATUazBKLTm4mPRHUD8ZxxyBmnbtVZNJxyMSCJfqmciOi/ylJhMcGuoCZjNH73Nhq/exsOr1WlzOHxUn/C+RRM09Xdtvz1lvTn6kNPIr9uluV3AC5fIdOOPw93vT6obP/JKGWL9KBjeNNaXbCgVlBuosq29Hm3OwUVLS4PUFp+KrNz3oLYxIPUyLYoaGqWqey9ze6i+uDjaT0xgz555BsiCTBUKipi8zeb5xtecnavyEIXzVyE/8CjqFz2BRPlDYAXT4BnT4blH7KNRdiKDBYbX9Be9PEJeH8PXAwva4NETxTytepNoEBXUcusHKTw9ClgV5hZ8yDc800SxzwMHxuoadmk+IHO37ZB0SiUGFTntAGtElTw1HnxLcpn6rUNVF5jY/4OibKLPdh9duQBcWyKjzFXkSqvNVeC4labLxN6DP7PRnuQcGs34fYsP14qSnujG3bjOTj7fR0fsg6CbB6o0FsnkQyHcvsy2FwvRFSaT4Hw/dq1HvaZ+1kB/3es50CSYMpdUHi8eV7+0eblimeJ+3bR6b+jbIYQFIqHA8Q1qmmOX1SCHTk+yqZ/AbtTVIJ2v/NzyAtRd9pJNH73NjyFemA/a+X1NK5+lLxyofabMCRJHN7sfax1B1yufxnPAdltopg6EOfURR02zNTTzra72bbxAlNfJ/lB+O7tJA95ERq0pFsqWDHSqZPildqvCCXNYCTli+lIeyl2Bm6kM3A9zUMX0T12GzsGdOpEjnOR9v8CkcjorYThYpx2PwUcRyMqC2gzq0Cmgqn6PezmpKzHAyCOgd6dYj7IToo4S9t2SVTYFQfFqWkToKB84v5ASgb1quKD58Gvf5B1scg6B0On6AJKuRwonlF9fjqUq7VlDJRkw6N+58BZlESF8EuS7H1SqqrSE5zgRadtYEnO6TTWdOCwieBWkiRcjkpkpYdovIWWIUH18zimUV/yW5z2ffQwTACPc7opsEuhzHcujTUd2G3mimgiOWZZ9tNia9+xbO8/2UzhzUAmdTHPvTz9OUVP9bkPYl6VocJlSxJXenGW68PHihfewu4zDydToj0TVepkY7BXang+/1kLaN84Gr7ygLh+1i5BkjzISg9b+8RzpbpA75ONK/1sWNxDdGeGwbuWD1UTSrraGFf2XzF1EpP4v4bJoO6/DGeJeYAbXJNFAEHrwUpRA1255XDjtYwc9m3zg09D/iE+3ccuhfIBrU8C2i6H7uuhS6O1Zxt0dn4PejW/1OH3NW5/01IC3zpWSL4DFA8TGtxu+e32TV8lNjBCUtYfoItO/TNLzniQ+Sf8lsWn/415xxkokBJQEGBk8xZ6dzzD5peuYOdbN5htac56BC67Dxavh6SBwz+1FeZuxekr0AxRVQItQvGsYWX2wQKg97PZFfp3v0jTY2cxPrJn4uWB+pMvJK82i6T9fmDuy3pQEXglQvWhJ5JToXkqjRXovL3aTrFteUEoGcLbIILMXVuvIJEYxeUuJ9aehdpklJiXXSJw+mCFhRJpwqW/Qzrtdf172Kf71oGg3RnN2DNYa5UrjmXGRefBcS+aZ6g2QjZRPpb+qFV58gMUr94P8ZZdsyBhg5eOg4FSpJIwrs5D2Dg9IhQV3zBECb6gXr1ZcyCU9YvM/Ydi4FE1YlAF7KkEX5Dq9S+yxJA7GHxLO+cNu9MBrG+ZXvl0FFq32VXmRgkpdN3Tjs1rw5ZrVhp1FJm/y11MiMx5UWPR8P5LYGOG7Pm1N8LhugjNwBOCblS+2tz/s/2SzYT2WHtJqn8JczdDxdVCKCUl0BLTrBm3L7f8JI2Zb8PijBi+ZuH5pu/2PP14LeyHoi+al69c8QUWXfYzHF4frjyRcJKDgXSlbsZpX2XR5Teln3UzjviJ6fepqvXeYHPqz1Q5FEBVk5ZlSqaupHyG1i84kn2diwkyD3MVN5EYo79XqB02FD1EVb4WJY/lCVpzoADGM2QvjebnwyVZ/+ZM9PswENFp3b3Bu9Kffa7lzC5/loWV65ld/rTeKxfJSVdNUlAS2StyYT7MOh3MvWqpoE7dWceU5O8t++HXetZS8vel5aeyeNmbLKSfhfQzvfJuWLBxwr/Fo6uFrcgG/fpevNVKP1VaSqG1DnuiFAfFadXngR5Bg4yd8ivDzpkDn6HBZyCcQwtfMk2XlV629h1PJL51ws1LqTtmg9PmJ670mgIeSdqPZ9s+kPLxs9v27sEJkFSDn1kFM25QDM4M3jb1LKeps5ZIfCsFnqNZ4P+Q+f53yXXprBOX3U/wwxhNtZ1sqXfBWY9SN/QvkKBn5C7ig/p9lzPduk8p6m5X+z3s2Hw5wbF1pvld7QYz8CJDG4cvCxXzG/eivnQ4w+N6EtlhK6CuSFwf0VAvZDwGSr+Uy4IPxX0TGxwTrQq/vorhVyeDukl8fjEZ1P2XITmkfUqcp/qWpp8sFJ1crjJRibIn6Wy7y7K4v3Gl1VcNICoyzoO/g54boFcrNk006Oy6CuIjEfbc9hF0VkOLEBjgmVPFgNoVR1UVRjo/RFVVQsFNBPo/IdzaKzzzDHC4fNjsLty55dgdHjx5ldQdaJDQLghAoICujQ8SC3YTHNhCPCAGelJhTIic5ESsx6pwlNwpVdid1r4Xb/EEjT4AZQOUHbACbCo9W4VRbuuaeyZeHrDZHcTD5lHt/K9YlQyz/tYjMeUWcUzi/Unam/7CtBP1wYbaUgkvrxJ2BmUDgoYpu4hsizLY/xJjj+fBrVdii5TT9fNsyoc2ik7RBpOj+rGXNh3A7GPEiQ5+YBjoHfU6zNqJqhiuk4gH+g3URkdCqHs2ZvispdYtSULRMC9kmacigkxl6Wtw6Dtw9iMkQ9rjpGJiug8Ag6XQWg9vHQmKHXnLBIGpKun0z3zxUpbpgndFlcAuG4QIHj4fW65E+cKjsRnG2MmE2PbyL5emkyfe2foALUXBNCJFmQaw5dgtPVpFXwJHVZzaP4uIadTgwxzdDWEDI3kguxp9VuSsSAgRCgk89ebqUdWlU7DVmenLHX/eYFmHJIF3HuRo7K9w9lNrgb1ExXcY2LVC9syVN+DKKaWs4TjTckVngLsBZrwMziwsWUmypavhKfETUakLYHO6sXtycHj06lpO4TTT713efVdCao84Fbsnl7KFB0MySXTYKjAkSRLV87+Et3CqaXp4nUx0j7h27fhMZuAjQ2/T160bqquKrNPtAoXQ7xdBm2IY4IdyzUEdiIqX0XIk7tir8mUKPvdBGgWwBElyUpWrP3vskh6EjA6/S8vOjOeSJmySTwZd0gBjUFfs0Pt8N3x0Amydk6Zx+qsvTPss+qsvoLLmK9ROuxK7zY2TMpyUIUkSU333Zf9DURd87zZ4+rR05RLAnic+1z6Z8UIaKEPp9Yg+tlCukMgHOj/I8OF89mTh5WfESDGB8Gts6z+RHf1n0hn4BbsHLyAS30xX4BbTormuRvx536Ys98tU+CamUTrt5YTkNSSS/1nPuELvsVTmX0l1gVUUJ4XpJfenP8uJ7IIs+4PM3rPBkNkaQFb0cxCIvoXLUY3bUUcyqVc97bZCWr9n7nlvuzwBbxwp2DxJcC5vg3u+blESzUQouIGdW75Bd8efUVWF4UE9yeGv0hJHN14L39aSwZmUeYDrbzB9Lc45M13ZHl5vDeCTsoqjxIbkhmBns1D7fe9QRl7L7hU4if89knGZ7Q/fSah774nzSfz3MRnU/X+AnFm5lmnTrtcrQnkza5DsDpxxcMMuAAAgAElEQVQ+8cJyuvSBzcjQ65bf2pwuimYvSdP30pibPTMZ7wKHxtCZnyHOtv2nb8LWufDBweYZms9MsH8zLR/cxljvOnZsvpTdb/8KouZMdem0DA5WavrUlTSuflSoNWpBnRHjrUMwbzPqlTdlD3ydMuQHqTk6O6XImZtHbomZFlk85TBtZgJ/45GmeW6fOdudDVUH64PYmsNPwV2w78pBCmX/o1M7B/8oM9Txlj7zrivg5ePhydNFlS7kExTTPj9tzz0Cb6+Ej5fTedQi5E5rv0LdL0qo+4XWn9alSxEWzzqAXM0HbOdZ4mVVsMoNJz0PYOpb4o2jxN9ZpSnnOBJCHn2xqPqWrZo+8c5liJOEY1rk4lRg2UeUH9GoiwG54hSfnRGE2wz7tEM7Zz1VqKNa8JIwV78A0Tyf8roaKAcJRtQn0/5o8e6UBGwp6riLZJ/PJEiQjMfT/knhhn+kqxPOGv1ik5zWR6AxqCMLu9fmgkVdTsovEvdrSogIYMsM2H6QYVlt96p/aV1PJuru1YOFwsMMwY0ngs1rI+fSj00VW8llDUjT+6AVRXZlvzUFDtCjz0UDEsbYNa9sDgtOvBeb3Uy3lJwwfxfkTxw76NugqWHGQ6JS5/QVWALkzO/7U6mzu70svvxGcitF3+32f96RdTmbw83cVYZKT94Y20/pZ8vh1qRDaGwDLTt/RG/XX9PTZHkQm+Sm3HexeWEJihdoFY3NC5CSGZW7uNMc1PX500GSqiaIKW1kQ6ZhvVvSFV1tqh7MNO/4AcFARi+zpnCrMDFtT0anbFRKGUFhoBCaxTupuES/aOz2HKpqL8Fms1JySzif/8feeYfHUV5v+57t2lWXVr24ypI7Fs2mdwiYFkwIPbTwCwkJhhQgECAEQhJMQu+9BJuEFhxCCBiCMWDkbtmWbVm2ZPWuXW3f+f54Z3dmdmdlGYyBfH6uy5e103Z25p13TnnOc/LLDObmB9U6QtqTjf2c/cbBCxrxqG7xjK5qnQy33Swcwk43HWfX6ne896fYf/MC+a5z9cv7chkOrsET/IyOoQfxhYRDkJidKki/lNKsn1ORcztmU4r2M8CgX6i0tg6q1M1c5+kptx8tJMlCSeY1caqnEbLTjsduEfN5KGpMWxwNNnbqe0ZKmnkxUXG6LEvNlmennaTZR9IKf6q48Q5441Rxjt+9D2atTFISTYW2lsdp3raAbZvV7yyJqVlOaoi30XHfu8lod805/waTZItnsHs630zaxn2eC0mSkN2tDO9siYsdeVt2jOpc92H0aHzrWbxt29n08n1f96n8f499Tt1egL3ckbTMVqwuKzpiDrOuVo0PSbIw6+CP4p+NKJgVR50ZbwqeXpspZNnHJkdJVt3zO4I7I+RdLOry7HrNB4L1dtgwOWk/dugl4rd89HuVlqlBwcSTqdx/5OJxSZLImT5VOHWx98n8BdBWIpybfgNlOYACESm1OtTM1KyfiVoVs8OFZDJTfbQqH19YdQoVs1QDTLsfCCNvsH01axf/OCV9KWeiSheyukagNhrA26vpZbX4ZNrXvypUKDVKlK7o4cKRailT1/3mt9BgULM3exnlj/iobS4j//suTBkaA9gvnKae95uS99MYyvnjNCIQMeXHCZuFNLpJFg5m5hCWXzzDDn7CYL8qQOAbbqJu2RzI74JT34Tv/EM9Vrem2ezP/kL5EacR1Ci8lv4yk+KlKm2zdnsl1lgbg23j9E2KwbCZulTYr6rsLT0UypsZ/kA1LkM7obasmZy7VibtC7DhY1VhMZhTR/GPRGbPVgY1T4lUlsPo2SwYoRdACkQT6u/rJPGv9VbhCBVep64bu1BvVNXK4p9crgoA2Is1TvH/PcyKV76Hp6serr4PfnYPmMNEg6nrSS2a21OXcKnTz9kJC88m/wGVPpcoGLknYLY7MFlttHz4Bv2bV8dbOYy4j1UY20ODK6lbNodVy09MuW0sIxgNp6ap9W8RqodppXlI2am3C4WSVXybt4m5piQzmebd260+C3KLEjE7VGnlErSJYILfLsZ5czk9XeJZGMlQt5r1io7bNqvFmNGQGGCewRSURyWj7eUTWp/ZSl15S9L4CLETO1XUIuMguadg/FAJbREar+qh/jjj1imV5TdQO/tj3T9Li0rhM69OVoO1mt2CIfCcokB6xWOin+TsZWqd4mlvqDucpTb/Dm3MpjJnFBESIBgRTuzUoo+pLWsm1zl3VPs5rCK4FQhvwyQ5mVW6gwz77F3stecwPk80V9/aczlrWoVIyHBwrUKX3LUqpixHCUb0jktUHsYf2kpdSznb+/TjuSBd7fnmtNXo9wukmGMaFAVaJZhgNRvXNBeXXZK0rKtDVZYdV/U7JMlM7eyPdduUjb8qcTcd+n5+EPXHd2A2ZcOdvxKBAGDap0XxdkXpByhzqLsd3j0OfqqwnjoLCEX2Zev2JAa2paY678PexT6nbi9gzA3jyTkujxmLVRUna75qOFqyjYQJ1FuzdsVpdLS+xGC/Gp21pLkoOe4wis6vwH2qkoEyR0RjXA0ijZkQMmMuSGHQvDdSKH8UGKU1aC9xQNgq6iL8GoN1+xj174xB0ccsfmxlX5dq7EiSxMQzr2TyeRrJfgXhoAez1UnJ1HOYcOj1SYp4vds/xNOziaC3k6A3NbVm4nevpHj2CTpFzF0hHPSy8T83wDWaYvhPDzLYEOHU7RyBOqqBNVfNAmizGraQmukND4ZZe7C2/gPGHPhjKmqvUPfxaiLTb56m/p3uwV34XcKhXoKBVjxDqpDKQJ9ipI7dBhMb4MgP1OzOR1o6mZkhljDc2QpjtuG480VsbjuSyQZ3/oqJbwnHaeK9iiHgdanZxpiAidapO/U1eOoiJj0xHVetCyKaaepFNUrf8xQMfQh9ovyG8vv1186/QnHYTv4HoVA34WzhdFtLRfZ87G8nUj5fT/+DhEzdLoa3W2EYr3RAw9EGG0REbZtWFNNvWcOMLrCUhRj/gTreN773a0FddXeSc2IOTF4PlzyRfEwJyBgi0OGhZ/uHyeuBtKnJy+yKHe+PiAK78lnn47zmQypeGEreeA9AkiSsLjXDpKVdalFzrGqkx8Zrd6dwmiLhQaKJHrOCmBruSHWwW98UfR7ksITcpM4jnU95aDi3i1B3RAhqtBhcZwXRiEEAKGxQYxWjxPdnQ3eeyC4r43xn88N0ep6mdUDMD6WZ1zO58F3ynN9jTM4CxuT8RZeBikb1CqS93UIpdvPGa3XLyyqvxpkzVhUd2lBN26/F/BrqVNMsMlH6WKSjm06a+qjh7zWb1WCWHJXpe8OHb6M4n4H3fQwt8xPuj1JX3kLLb/vp/quXrhc9dH22moG2lYQDarYwMihjzpKYskRv9E8ufI+xVRoFoZcSsm9a/Gg3OMwaxHrNpXI4UmFCntobRMj6fwURjxEQozJGov2Eoh3IskyfT7zXW/r1fdZ6tn+Ib0DvwIWj6pxiNRdjMbkJRtpZ33Gk2EdRA81yHM/E/BeTfl91wVvUFAj6gTVfzMsz1pboe9rF1KkVp07LkNCiuPTiEX+rtgXH5OnPYbMVMn3/tzDZJCY8m0/57dnJO312AN63cvBtCDG4JCDKRWLHcxswPhT17Vi9Jpur6HxtB4Hwjl22EtmH3UdS7+F92KvY59TtBZjsZsbdWoUl24q9TBiaNreNqvsmkzbeiaMiOVsAxCWBQSiybd7wU/36g4+n9NSDyByrGDVDmeAa1sv2NorU3GC/WkBf8TCYdpWEOn0UqpaAe/woeFhAWrli3A1kwesap+LCp9W/swZF3ZMtEO+dlTfmyKRjZVZWYctUs3ul00XEt6haSPkX15xJVrGxQ9bfKvqO+YdaiUYNBEmAzIoqSg4+wVCeXgs5GiESEoZcyxrl5VCuUaVZlKwgF+qMkDZ0ZLz+MSUUWX1rjrqdHI2Qfr54gQfXZWJOFy/SnXf2E9ypGnDFP8skr/JwctyHERkOUTzlbEyf6mXbYxg3/RYcaeXxzwF/M9FoiEhoGFAMV3NU9LEzR+PS7vzlZ6RzpCKoEKGBo/B3t8G4RvxHCO8qFOzCPKmbzOkibZQ2Lk00Jtc2uo6p8NkDIquR1Q+yicypY6HFjffBafoeYUrdj8UtXhwNR4BFsQvy1NZjwiiOXf8q4cR0Fd2I6yBwzhSLc4/Jx+xMNgLMaWZc08UDMuaGESipQJYm+D80QgukgFfN0LS1P4wlH2Y0W8k+XOlR6O8HZKFUag8S9HXACe+IZ8IIGX6i7Wk0fXa/oVAIgCtBFMWm3OaY0W2y2KlZcDjuc3cvI707CPSrEfG+LcZZprSsiuSFGsOgpeleotEgvuEm3W+VJInMsqn4enoID4WJhoKEvENEAn7kaJTAoGrc5s2YBX/5Wfxz8839DP03wLarevE278Q30GR4bpHIMEF/jK6pMVZK9P07KdmpOnU7y2DLRN3moXAbzf03xQ3qTMdhpFknMSb3T+S55pHnOlNVyAUdDRSgq+NvAEQjehGJwpJzGFt1B2lDR1LC7XD8v+Pr/O19ogYV6Efs70Otw0zPmEpG5izKx+gDZFoj3/OpGgwMD0TZcmEPDWd3s/VycV87HvWw/ed97PhlPzsuMbPloztJRGRAxjFeH7hMs04kM//ApG2TcPkjogWDguiAhagvGm/UvWuYUjocqWAx52IxKeqoo6QV7kmYE17O4WgXsjKYBgMfEFHq3mQ5StNn91P/jqABRCNBopEg/lBDfN9J7oXYLRUEw8mUw/Lsm8h0HJa03GWbHs/YBdsjuC9wYck2UfhDzXntqBSU+uyR+9RKJgtjJtyccr1N49SlucYzrfZVrFYx32cd5aDgogS1aq9TzbgBWy7UZ9yiZn39d1QOitrtBLT/rIBu70vs6L9hrzR7/19GNKwPQIV9BkI3+7DXsM+p28uYunA/aj+ejWSRyKjNYvJzMzDZDaJLQEHxyLLSMVgcTqZddrNa93TaG3DSYvH3YiEZHU1XFZ/cP4T9UpVelCgF1Jc8hSlv5J4uEw67AUf66F56tlLxUp8w7U6y85RJ9ph3YUJCkZ+EUPJUeveN0YqtpEDRpFOpnbcQR0Zyzdz0ufpotH9QFJ83LlvAlv8mGyC7g6blD7LqtYuQZZmwXyNucvI/Uu4T3BnB9/CB4NmFIZ0tjmfNUSPrTe+8jCdXpa6UnyekqoNd6qQ64Zk8nFNtyLLM6kvfYNXFr1Ey+SzwJNT9AMxZit1epIuW9na/Q8O6n7DqtYvpb1qh23xCzQI16gmkMxsbSsZNBrrc4O4iDUFtDAY7dS9tsV3ClGOKCkevrQRaS4VTP24rrtDBbFbKO2zlqlHmGhBeVHiiSteJDMhkzQWzht23oU5DCY5lMSqaqf4ELKMok6x+eCq1H88ma3YKarACWzIj2RDrFl+lKtYaGEIhn16QoP4dkZGpqL1Ct9xkUe5jczF0u6E7j3DAONNWnqCxlBnz6yv2Xk2JUKwVyBpTY7yNSWxj0dGlVY+oq+NVVn56JPWrz6WxQa+WOXhPDeFnjmX1CctZeeftrHn0N6x68AYaFj3Auiduj29nbk/gnSsY+jjApkOAq9WLlZF1QNwQDQW72LhOqUs1awqM0vxwsBIoSx+CQz5WAxQxjJCNt5pT1/f29XxAW4towJ2RWZtyu/wC8Sz03ZeDb8pz5Pf9XLd+S9slrKWMHp6lUWlRIKGfB6qm3E9B8Vk6+qQWEa/qRK+eqjqynk8MmB8x8SxPOkxSVZOd05OZKOGgl9Wv/4Ditz9OWhfH3DegZhOZjqNgztL44pVVrUx0v6CrBQMYX3Y/tWWJ4iJfLMsWuz8j3ae9ha09lyPLqmO7qlVQ9ROf+7VvXcXqNy6hoft7AFQXvIHdMgabuRhvUB9QSbNWY7eMGfF7oz6ZSH8Ua7F4Pk2OhGsZNSsthUa+xnnuE6me+pjhOqt118JIzhnq+JksrUu9YW4Pq1on63robeo8Q1c7rEXAIxxCowbs+zB6bH9X0KPTS5VaUM8+J/nrxD6n7hsMiyXZ8A/4k2XMAWwZ2Zj20zhICeqYw551+FuH2PH4CuRIlPXXvE3apStIwq2/gWcuJGtiDVH0Lw1rvg13zdFMm/sA1cfcQVbRzFH/FluReDEE2yP0L1bO7aR/kulWjJbi1qR9KmZdPurjp4LVkU3NcX9g0lG3AaKxcAxDnWtp3/SG4X6RkI+m5Q8SCqTyfqF3h6AnNq96Sk9DzTJQr6waufA7FewFog6uZ0MdvRs+Fw2oY1BorLKsOt+mNHEezU+qdWZ1Zy8iGjCoeC9txSzl0NPwqS6r4O0XWcLhTr1Knc3mhjQ/ptJ+zPkRSrgNK6XQlQ83/g58TnB3MZF/ARAKdmO16euEdJj7Ojx/nt7RO+PvcMQHdHe8QaydUHCzGVqLoaUM/ybFyKxUxSbkoIRnXR91c5bF//l/qo6dGUcvBPRiAXsK1tGwaB9VzuXau+Hu+WCJxMehp3sjdYvOZsvSPxju6shQv2DCYTcw49THqDnuj+oGXW623V3HyqM/RY7qaS/WBHvU/RPgjuvhsP+OSjRoT8BsF05E0YHHMm7uxSm3m3rSvUw5/k/xz+FQP0bGYn+vmg6N9RGMQ9MQW6vCljflQAJrdhFEUQR1issuYUL1H+PBiPWrNHL5Sn1nWeVP1GXfewlOfxWK2pJPt0XNgCPp743FJCILbS1PMTjwOdGIn6YtvyMU7NGxKsZPupOsbCFiFfCL5zE79yhqpj9N+Vjh+Lf+ScxRoTZgmqYFjSJSsvOPA/CpyIpVj9DywAgdD+0mNdfjEr9b8/6Z9LfkOaC/RZxHT9OS5GOMV2qTlXl0fN7jlN+XbKoUpF/G+LwnGO9+FIpbaXt7BXX3zKcy+CKVObFnRL0pIf8ATcsfTFlPrYe4XxaTAf1vb2BHOQyJLJU3uIJOz5NJm2gDQZHoMOHAgK6+NCZeYjUXIqN/VmTZmKWiRbBdvDNi727Jmvw8Ti36mOnFdbs8litjCtXTnqBq8gMUFM1j+v7/YPKMF5JKJIxQ9aKbiruU9ig7jZRbFPxN9Hvc2nMZgXAz/tBWhkNr4O5rSf/VR0mbe+4X9kusOXsk6qGupZy2wT+zve96ZDmUtM8+JKN3g5BYtmWIAGisfY0W0XCYpn+/THCoL2nd1wlZDrO+/VjqWspZ2zZn1zt8C7DPqfuGY0KNvmHpupXfTbElTL5cQ880J1CysvtZ/7O36XpnK0P1nfh3DuEb3Aqnv0r6icPkxxIbkzZRcNgsocRm1k+grpIxVEy9EpvDjSt39/q5Wd1mkKDlt+oDn1NxOIObGzHZ7OSOO5T8cccx/hBRxO3ILCd/bDJt4ovAmT0mSdo8hp1rnjdc3rP9A3qaltC+4dWkdZ7uTXh7VFGLri1vK3RFgYIZyZTUzEub4cy/pTxH23QPOecr11uhXpb/QHWam97WSFIfptRRKY26h+rUyFisALzrXwkZUAVlF88QmatZ4kW86f2bGWhZocqyRyXwCUNcDqsv/sysg+IZvejElUQHLISCg1gpgvt/rFJc3F1YKGTYs0nJ1GkUO4C0qepL3Hn9J0hHfqpbz6yV2G3jCIUSCtmjwrCIbMsQtZdW/Qs30pzcVB4g/agwFmsWJeWXI8vBlPVZXxRmI5svpxfbsVvgF3fBOS/Fs644AnF67kD7KiIhH5veVzJCioGWXaqnpKXnTaSo+nSqjvgNWUUzMZltOLMrKYgxCbdMYOitNKL+KB3PtxINqs+9tQTcV4mMXeG1YHYhMuMSVCX0h9sdRAajBJpGNgpDHRFCHREmnH457pmHUjLnJEzm1AacPb0Ii11Qa/t7P2Jw4FOycpLbAKRnqM/E2tMSglIpGtfbs/KIDogAiP3gXsNtAPIa7qQw7xJMJpsuex1DdumB5OQdjbvwDCbULKCo7CIoaQd3jzpXliY0BfU6hUpxghCQJJmIRkO0Nj/G5vqrad/5HD1db9G09Q60ERazJZ2MLBH4aqiPze8yTlcVJpNN58iHOiJIXfkwb6FgbbQXQcBG6N4z4Cwx96RhUGxpAN/mEFGfjOez3eyV9mcxMKWNM+G01+CCZ8EijhHy9xNUxvn2OtEbLzjcjaUywcmKOcCKYyiHwxQUzKPqZXUuCTSFkSQT2WnHk2U/HswSwxuEA7r99VfJsMfGjnp92jb8jZ6mJfRu/++uf39ovfL/roVJ9jTCQY+g8K6bBv2ZIvDVoXeMZVlmuF8NXPT5NMFJ5SdbTWIMGylT+sNbkpYlIqQ4dVbFqXOf6yL3DLUuNuPCduyWciF8Mwq40mvIyNqP8rHXYLXmkuZMrmc2gjnTROYhgrI/vDbFeHzufDG/AgP+d9nRfyMbOhVuvC2E+wd2Kv+Yg2XuZ+rve16I+IQi7ciyTHO/mItbB++m2/s83uDaUZ3fVwFP6zZ8Pd/8DKKs6SlcdOCxALQseS3JefN1t9Kz7lMGtu3952kkDIfq8YdFwD0Yaf7SvSG/Cdjn1H3DkZV9MOmZ+vqwgN+gmzhgz0hBFRvbqGvcuvm3GnEFa5iyBwJUPgx8PAcsEdxFp5PrPl5EpqWoqG8ra8HrWf+Ff4dklUCGqFd9yfZ9IhyPaDDA2AN/TGXt5WSX7E/tvIVMOeHuUUXxRguzZRc1bAmIZVLkhLo7WY6y6f2b2Pjejbrlni7hiKXn1+A+WDWc7GMt1DaXMeH7F8GY7WALILkUAzC7L97TreSuYcbdWSkU4LIHmPXyWRSclEKhTmldEemXhCR/0AaZAzB7GdvuXcZQfQqFPZNE4Xeq4IR/wfhGQBPtVZwmutyiWXoMikhJScUVqoBC1gBySGbdRxdgoxI6NQZHQSeDfZ+wYe0PCId6k4zjit+KMTr+sTxqyp9LiiDntPycwHALrJti/BuQRD3iuASntdBYna/gPCGSEDuPUHDPqp7FE7R2jZPp8GM5+TPYvw7O1AcFJhx6PQBbl/6BtW8lU4srE+iWkslC6bRzySjQX4/iuYrC4BZ1jOx8eAc77t6m2Rcq7oeCn0DZn3S7Y3Pqne3dwcYzO1l32MgGx5r921izfxuuwnIqjjpz1GITPu9Wtm4SgZ2hgToS01+yorEe7DBwzn0GFGMgvWQMXU+IoEv6Lz+h5h1lvI7RqwX3/Ho8q2cIJkTiuHUXnsH4wocZV3U7JrODrOyDKS3XUHxjpzlnGVU/mqcuXztd0BFlU1zxVUI4mDsaVYGYtp1CnGOwf1k8i5LnPlk5F3G+0ahwcnLzj1X3+7PKJAi2RJA7c6G4TfxrK4YOVSTEFT46qW2CEaK+KPVHd7DmgGT2hBbF8zOZsTahobjSfL3g4gzGXDcN9lulceQeZdsnye0nwodqGj3m9sB0hSqoiHBsWnILAOmzVaUO7fiTMGOR9edhCom5yq0Rn5Ej4hnV0vNSwWUTomZ5zrN2ue2extaPNQ/rDXfCAz+G018nJ+0UyrJuASAS7WP75w/HN2vreUTdRxHxiTVMN0tqlroi+w4A0qwGitcJiGfqFPqlOdPE2HtzyT5RvEurfrd/yn33NKyF4hy8K4XRPf4plbZZfmsW1ip9RlmWA9gtaqY8zVpN/jkunJckOGqycOp6hl+mZ3iRblVU/moEpHYFWY6y6eX7qH/WmL3xTcLOpaownyNHvFMCAz2sffy3uu2CCiXTKIv3dSIS1Z/Pjr7rv6Yz2XPY59R9CxArHI4hqBimdcvmCMl5DWY8eRrTH5uLeUo7TFH456YobNNGxfSGki1XbwxZbW5y8o4WfPnitnjEVFvI/2VRcKlxZuWbgpbVzyp/6WlTfc2pa0DS82uYePivcYyzMuk1JUrqFo9Y3Kj94SPIlzwAFz0FkzYJZcn/e4Cm/7wIwIynTmP6o3OTjGCLU71eM38pVOOabxpA/vAgIZCjqedpuGUJALmHVjDpdlWSseb3qjGYhD6l0Cykpyg606YyY//FuNJrkCRJ1PEotCh52UzWnPsuDGuit01X0N2oUuQSjeP0/e3MWF1M9omaMedTHe6+y5RzvO8npETELCTRr9L0xClPbtRbeVsx9mIL9e/8HLNJZIHWrZwXV1bcU5jWEoV8jVNpihLqkMksVNtjODJKmXn607o+bJFQckF5LFsFsN+ZxllkAEua3XD50GfG9Qz+oVbqFOGYgirjvo+jhX+TcDqivijRgMyGuR36xve7iY4nhmi6ppe+niXUr7kgvlySTMw88F3SXFXxZaGgMPRD3QYR1bXTKTpAL0E6ZtyvaZqnPjthf69oPv/4pXDXL5MOIfvF8242J8+JRphBF5NZy2RUY9FiyqH0MFVBx7xRZI0m5i5kZkk9M0qE09Lft1Q4erf8Bj5Xa+d6uhZjseZSOV6cX4wKGr71Slg6R8zNCgaXqM7t8LqQaPZd1C7q+d48VdT6xa5F1+jGfdfzYlxGBpJV7PLOVp91c6aEOcvYWS+9Pis+1mOBo8BQG36PcMacORoBIrv4DdZDtzPutSgcslQ0os4X/GtffxMg5tBxjxrXYJkbpus+h70+ZpSspTxb0O77G9czWL8TZGheKaiMHY+LcWeESe5FTCn6kDzXPMP1XyViAUJA9JDVICbcsnqppm/eQ1cSPOQ5CClB0KCNGcVqDZ22J587/QKmFH1ITYFeJdsIiZm6GMY9mMfM9SVGu3xlMDkkzDkmvKvFc28rMjNzQwk17xTg/kE6U4s/YnKh2jBUliM4LOOQsDK9+HPSrKKe156XAQ9pgjGDmQQj7WxPqEcFQcsc9m5m/erzWd96It7g6qRtvixkWabunvmsfkRVgu1rUL/H3/fFexXuDcQyb7k1+8dro2PQCqaEFGcu9A1z6hLrKQf8yX2hv23Y59R9C1Ax9jpKKq4kO/dIABrW/wjfcFN8/dDASgIBEWG2pNuwZjmQ0v1qjy9Q5XwNEDA16j6bzZpm6SY57gNWTf7Ll/odWmEGW3gAACAASURBVJT8QjVeJ545cp+7PYUpJ/4ZiyObsQddjcWWgcUuMlJ9LZ/gH1JrFeWoGskNBQbZseLxuHrhtk/16hNa48TTsynerNk1y0bZr7MYe79qhORNOVCoG1rDkO5Vr21aABQag8Vlw5qtzypGQ0HCwx7MdgdTLvoVZqsBzSxRpAFIr84nvUr9fps7dcNdohITqu9OWhzq92GxqhxDR9pYtWbwrVOgaSxsVozujEGGAh/Q37hK/U6DmjpLbkJwwBHQNSPOuv+fIsMBcN0fSULUDIu/A3X7w/TVou+eBFmnqlSQrAsHyDumkpY1L+Ab2M5wl5rd3r71jpSX4Ysg4o2I+5g7hJTnBQnCXWZszjyqjrhZOPtH3ITZ6sQ2iuba1cfcwdiDrsZk3v0awGCHMX1EWzsqR744xUQrVx1sjxDYFmZ4VYiGs7vj64brg4bbp0LLLQP0vDJMY71CCY1K8PFsqqofwmxOw+EQajR2RzmhYDeyHKV7sXgeMw/OVttiAAUzj6P63GvE37OOoOnHw7o6nIG2FfiGG4UjMZAF5z0Px2m6x2tQM10jbZ/CqbOQTxpTSWMqY3LvJd12EA7LJBw56vYRTwACNprrnqZj58vIkRABfxuR8AC0lkD9FPjTdbrjRsJD8UyL1eaGLeNh1X46BU+AyLAY85JDovtFxYgqak8KzgAEGyX6/ulLWq7bpi1Cy216w6v6TfUZLrpKzfq4z09HkiTybmyHq/XvBskkxcd6LFMX9PUS9g8gR8N6YaDJ9XDSYibdN53sMTMw21xCxdkAaRNV9sb2X/YhR2QGmjYQWFyl2y7o7cdiyo5fw8FtGwj2eEAWL7OAt5OWW8W4M4IkWXBYRkcP1CLUE6Hh3C7WHtJGsG3XGcFE+DaGsL13KSydA+snx1kZAP43JhFuyIWGCdChoVTG5l8lK2uPVGMxq4HgnLRTcFgmMjFfKK86LGPj18UIsizTfFs/O/8gxoE5XW8mSlYJc+beNx3NGRLhLjHerUVmzOkmnDU2JEnCJKXhsKi9Xj3BTxnwLyHdfqCupYXN5oa8Ppgl6sDoctPtfQEjdHtfZvOGa/APN+L3NNLccxsDfSMI+3wBRALieQwPD8XrgLctVtssrH/6Toa7Rs6Y703IkQi9m1aJNhsNq+LqxhVHn5m07UCTWt/7dTp1wUgbQ/5lSctlWaapTyj/jssVWe9wtIdIdJANHd/BE/h8r57nnsI+p+5bAIs1m+LSC6kc96v4svrVqhHcUH8V9avO1+1TePBs8XKHXardbVp/GbIcRZKsFJaox8nKOUwY8QrsjtH1VksF90WigXZtcxmmNAnJbKGw9igyKw0ab38FcGSUMGPuo+RWHMqM056gcJKIpjcuW8D6t9V6xI4GNaLd3/IJXVvfEeqFgCNTL3dYPFml55TPuCj+tyRJFP4wI05dASg/6gx1RwMnLBWa/i0asWWOqcGRm0J4JJCcubEmZGDNTuEMpsrUZOVoGuyahEES6vXpnFybvcBYCAbgsieSxCJSGcMxFKJESM99Kb5s4EUN/fPUNwQt+GNNRtrphY8OE0a5axjc4sWSMU/tPTjuimN02c72da/F/97TgimhmPHmHEBOE7UEco8Da1ouGQVTmXTUrXED12xLDq6MP0SfMXLlTiC3IrmebCQ4j1TvSbh/5AJ/ozYho8Xge2pGLtQWIdSjjo3B98W6DSeo9yHca9xuwRAvnCf+X3oI/PkaBl8WYz02hlzpk5HlMEFPL92viszomF9PgKPVzPCOO5pwFZZTe80Cyo84TX/874ts+IbPfiR6yHkyoHYFTNUr6sV6sjld6rxkte7aGc9znsGkgleQJAlbekKx5bqp+Fc4aWt+kq0NN7JupTJv3KAEGKL6QIfZoga9rLZ8QcNLgCzL8ayp1tmhuA3nAckZtMYre2m8oid1XRKw8XR9/07JplevtJVYyDjMjnOaFZNdfIf98CZBLU+AmqnrIRLyEQ37AJngcA8hfz95Y5WMo0nGcspy7PkZSJIpPqem51cnH7NEvU7dL3rpfMrDllc1yoqnvg6Af0gv8uQf0PfDXLf4x/F1Ud9ujNFdYM3MNob+GyC4I8LaA41FzUZC/XEdBP8xBf52FjxxmU78x3fzWeyYWw4XqUa/NUsznyglFmmoDAEASbIypeg9Mh2HjOochpYG6HzMI3qqfoMQ3KHONZbcZNNVkkyYJfXdEZU9BvWEynMxT6H8dia/T21mQdv0BpcTDqnBB39HL1s2XqeIOO0ZaJUiN70smCeOPP05b3g+gTv/NaK/cT3bFj/LcMcOGt96FjkSxpFbiNkmAtFZYzWZZU29XXBoQPl/7ytjbuw4hYbus5MCjEMBVVE3x3ly/O9VrVMYDq1lU9cZfBuxz6n7FsFsoIYZQ6zeIobCg+dA5hDMWxSnsVCgUsTSD3CI+q3Zy6AnV6nlCOkk6CdU38WUmcZRrC+Cittz2K9eOIYRvxc5EsaanrWLvb46pMqa7Fxr/JvlaBhbmp7+k11SG8/4uSecOOL3ma0ax0uC2oXzqF04L07VigT0FLZoJEzdPfPp2ySULLXR//zzXbptSfNRu1BPFYrRamPfE3NyymdcSO28hfHtHJniJbbqdbUvYowSBdC2Ua0Ls9rcaouAUSBRKCURZah1A9mn69flXOrVq33+7Uyo3gC5ShG2tgH03dcyHBVUEHOGGZPJiizLDHUmF7s7XVVJy4wQ6oxQV95C/zu7yG60G0TkP98fM8lUsURabXbZwfGeirtb52bJVn7/z+4hcvjb6vkYURM1L7TdFTnSYsvFamuUYHskTtEC2HJRDysn6Y3pkNG1SYXP94ezF8J9VwOwc0ELA8v6sNmFkePKELWqG85RRR4s2RbGnXIxTBX3uX+JaoR1PJ5QE/PRYUK4pDvB4UoIUtQf10GdImiTXyAcQ4t19+Yp7bxmstrVzNmnB+P1bCJO6/argZfKoZfE7z97IZYlqkHR9VgytXXoYz8rKtRrbc5WX+XTC1Yz9k/JxmqkXxhZ21JQDuWoTKhVf7+shWYkkwjE1TaXYXJIVL3opmZxISF/P3WLzqZ1/UIstgwmPCfGbyybZ7amYbKksXPti6x+47L4MYf7GgEZV+4EauctpHbeQmacqjpm1jSlT1nxLMXBk+K1zWaniXEPq/N2oDHB86gTNNaWf79F3T3zxb9FZzPUqjjuMcGa+aoAmeHza4DY8aKR0Xs7Q59+SWGmLSnqqhW4JmvG8iNXwvwF9J9wBXXlLayaujP1jiNgtwIxXxMkkzHtd2apPkCT2GcwzhyJPfNdyUHHacUG2biefCIBMa82N4m60Nbmx9my8Re7c9pJSKwxq7tnPn4DgZTQsCdp2deBmABKwysPxZf5e1W7csLplzHzKhGoanpHDdSGvAO6//cmQlERqIpE9eItjT17hyG2t7HPqfsWQZKkuIy1EXRy/UMGqWNLWPRscXeSdaS2kWgFWzaKjIlRZmXyjOepnpYsqfxlEJvMbF+jU5dTrq9HDPn6aN/4WoqtYahzPYMdq8lwTyGzaCaV+/8fADXH3knVETePWgwCoPr7Ko0qdg0SJ/iQR+88FR+oNhAv/002eWc5cc5rBncnZTeK+1ZxhVqbk5ipS0TlAT8is2gmhVUiShUJqkZwyUxVyr1tveoAWq35ycqqAGe8rvtotuRQUnGljrqZCtUsZzLrGZvgS1tzErKPWQOiPjQGn1PYxjnCSB0cWIr56heZ/IyIVIvMgIqKsSLT7fWsIxoN4BtuZE3d6UQixhSs4XXiJb710h7D9QByRGb7dcYyzaZB4yxl9dG/i//tH9yJJJmYePhNTDr6dsPtU6HmqelM+EsVSBAYaoUT/wlA33vJ5xtW7m1iVnB3EOrUG7+dT3mSnLbosD4amrjeszygowBGfZrte5Kd4K5XO8h3n8z4Sb/H5RJ1MZE+dR/JJJE9YRpjfqaKNmz/QyP+Jh8ttxoYEN0GjnN6aoOpfMxPGVd1O8ElY6grb6Hj8SG8K3dtqFucatAlGkqQk99QAk/+ADr157L9UjULFX7pBAD6/jFMy+363zH0SYAtl6j3OPNola5tH2vBWmDGMc6qq3/TIpbdS0S42+C5HoE96+tXs3PhkJfMI+yMfSCX4mvULGMscCZH1exx4yf36NYlIqdsNmMPuprCqrlKtk+mZc0LNH7yZ5qWP8igXyNP79Q4vE4v/OeY5HMOWOGh/4OufLKLD423gomhftHvqFt0NgFvJ0YIDPZSd4/aoD1xXo7BiGrc88roGzFHd4cW/dCVULyT4ftSN3CPDMijoj8n76eOg+wTdk9g7KvEmHtH0WAU4jRTQEe9BMiJiQxl94MUJXvoEnVbUwFTCtWsf0zYSP0srmVv9ztEIwE8g6vxDK7SbeIdqqe3+10hlb/qPEXsKTVGS0fs22TQfsoAnsBy+nz/HNW2XwSx842GUo/VWNYOhBPYseKDeKYuEvATCe5ZBerRIphQPxeRxXMca39SU/B20j5f5Pn5urHPqfuWoaAodUuD3p53RSPs8CCbN/xMqF4mwhqGCVvJq5mlLstQjXmjGqg05zhc6clUmC+DkPKQWzO+PqdOkvTDf8vSu9i59sX457EH/VS3fvN/hTE+1LWeiYfdEG+5YHPmk1EwOqnwwtojKaw9EldRRXxZLKrv62ohMNCDv68LWY7i61a59GkFpbpGziaHxJh7cqn4cTWOo7rIP7oSgJzZgh4qmSUsmcZiGjHkjzmSiYfdoBPvAKg57o8Ul51HZtF+SfvY7G5c6cnKlEXHzdZ9Lim+guLSC0f8/vhvC0/DHpmAyQnlD6jLJclCZvbBlI+9ljTneCYd8BfMBQkvk8FMHDXiPoZDfdirgiBbCPdGCHgTnJthZ7yWpLPtFepXn08o2MnOHYJPL8syge3h+EQe8e56Qu9bPEIWb9B4bLvyJmJ1iGzEmANEYCCzcNqo6u20sBXayTogD2sse1wqIvPtT+sj9MHhHgKeDjKL9iO7JHUzayNEQ1Ei3gjhwVCSqMTwqlDKuqGcuSKgEFsfGYoSaAmz6cwuGq/QZ/viCCfUikYVkaFIGpnOQ7Da3TqDPX2WCExJkkTeZHU+636tg/XfWxOnEOtPWu/oVB9zB2Pn/FRk+ubqe1bKURmT2UFO3tE0/p/47S23DrDx1K5dvuwlyUT2hGnxhrw63HEjvH0S3Pzb5HUKwp0ywbZI/Hu1aJjXpVMRrvidGjgpu1kdc5V/EGPMVpFa4EqWZcK9EcIDUcN7GWxJncXyezT0QjmKJEnknuqM0zIBrM7UzaUT550YJEkit+JQJJM5/kx0bn6LvuaP6WlaQne32hqm+wPxjsuuHQNvnQyLT4bNCdmtV+aJZ/G5C7FFKzE9rg+Myu2KiJKGkhnqjBD2hAn7h3VN7CG1IT68Kpn2HLtPEa8QFYr65JR0z/YNKcRLjliSvGxzFdKCGwi+ODJNe3j17vda046D8lu/pj59Bsg+XjgLmUeN7Gim29UAT0xpNv459s63RCBrgMB2NSgw0f1XHFbBYsh3fT+pDYkW7a0vEAx2EQn4GOrcFJ8PNq67jG2bb6av5338vm001I8g+AV42pJpyyBojGn5ai/R5iWpg81abOo6k8aeK4hEB0fVi3C0CPu9+Pu7DOmTJYd8J+V+W//xDC0fvE6gvysu9rY36+q0LQp8ofXxz5GoGsjNcwqGk9OWbNckZve+Ddjn1H0LkZk923B5NOKjvfU5Vi9XaICnv86kxycx7jolI+VUB7I1PZPs7zhEDyVZ8xLeRQ3UnsI3IVMHYHOqv1fQggTSsirJrTiE2nkLqTlOLy38ZRo3lx1+KmWHn6o/B+UabPvnC6x78nesf/pOtr+7iK1vqNlRmyuFgzAuhyl3nxCvlzM7rZjsZqy5aSkpKonQOhPuCSfizBYO4sTDVHnfaFhE1yTJQvU0TQ2LXbwUc8cfrDumFB193drKVy9g/b+EoVXwIxj3d7E8bTpMrFlAQdF3mTzjOdIzpzLmVwnBhcEsosvVyTjwq8tZe2Abq2e00fmoPgO3o+7ReO+zSEQNZEQiIpre8tsB1h3aHs/waLNMqYz4bT9KNrqzLhfOuNyXWpxo+txHqJ238EtRIWMI+RQnyaVmBYKd4n4FvJ2sfev/8A82Y0tL0fJkBGy5biOrjvuM1Sd+TrBNqd+arDpfXc94cVQliy6U3ZQNJvUarprcyrrZaqQ01l9tRHpmrP5p3kpWnbhc1LVp2hbYr3xX/50/rlQ/tJbq69TMioHz9km6fayOHHLL55A2fwkctUS3LkZD8zcmG8Ydj+yaDjV+7g8omWNAyfYpjqUi/198bWbyNpBUk5U2NVkgKetYB/YyC+kHCOPVpqk5k8yCNjltaTHOaeq+iXVpq2e0sXpqK/7N6u9MpWoZQyTsj6tIjgSrI7VTEAtsjLi/keOnqTOTN1ZCfQ2OnGK1bc8/5kK7kqEJWYSgkoLOS6cSbUzI1iqqsADe3i0MfuRnTW0bq2vaWf3Qr5O+PpUs+8ZT1Uxf5hHifvS9KYI+q6pb2XRmJ+sOb2fVVGPhi1CnMkbPWkTp62ofVE56z3B7efkMw+VaRIZ2n0oZao9gLTZT21yGrXTPtRX6sjC7TNQ2lzHx2ZFp6ibJTnm2CJg4LGNSb5jbS6RL3CeXrZY0qxoMqMz5g+rUOZIDd5HIEEFfN3x+AA0vPMLOZW/q1ofDg4Z/a+Ft207Puk8N15UeejKTL/g50y+/JfX5JyAYVoN5q1qnsL3vVyNsvXtY/dBNrH/qTvq2rNEtn/S9qyk+MFlVu/xIQR/3datzmKtIzM97s61BQ5daktLUN5/NXaJue1WrqJd2uy4YUdU9Mbv3bcA+p+5biPGTfk9R6YVMrNH3/IlEffR2/Uu3bGhoFTkHllJ95zGQrxSLF7bT2baQ/t4loolz0AatxdCbg9W2+4bfF4GI1khYncYGzd5CzXF3UT7z4qTlEw9X+9AlZlAmH2+gyPglYE1PvgaJk73JNnLWLQZJkrDmpu2Seqn7fk2doNWudx5Lpgoa5spXL4jTe30DO+DyR0Vm49In4KKnsbv0EXk5LIyJrq3/pv6d6+hvTaYDe7o3xmX2g94OhvuE+lfOGVC9HHLP028f8vfTl/ME459Pp+hXqtEZbDTBwnmwYj8iG9Qaip77XLBtDNXHqGqXYyeIBrOSZIlnHC2WLKI+WYgDAJ1PeGi7f1CnAtj5eLIRH/Wrjl7Vwnyq3yqg6rUsBsYJhdTmn/uIBvccfUOOyOy4sQ/fhhTRdw0ttn7RbTQtf4iAR30pWdNSZ01SYWi5eg1iBqLJrpeyl0Mwc30J9kr15WgtNGF1mwi2RwyFOcLdUWRZpvEq4ZBaazQR4NwesAYh4GBgcZjQdityUCbikXGGlYDW8e8RkDbrD2pWzimRNlXcatjHsOa4P2BTMknaAEYMMYez49Hke9/3hhow8G8Ls/0Xfcih5Hutra3LnjAtaT1A9vmqM154ZepAQNn1yYGdsQ+Iuan46gxqFhfgnGwcTJn09wJKrssk72wnoc4IckSca7+GChvrATbhuXymryhhzL25zKzXS9fLsszKVy9i1atqFr585sXMOM3YwUtkQ2hhdew6oNf0j0XQpTHiZcQ4v+hpddnbJzHcv0UXnKRdmQc+1lPstSh8SlXn46VzIGxmx4d/Z/P3Nb0sn70A6mbp9tu2+Fn8vR3s/OgthlpEv8xQhxqcmPS6m9yb1R6IsXExvCZEqD1Cqv7G3SuUOT9rAHuh6riaXTLc8hvKnhjEeUZy6xaA8U8aP9ubz+2m/1+p2QSyLLP9+j42fKeDQJOY34PtEWxFqQ3dbwPcrouoLniLDEfy/Z+x/z8pKr0QcnuJdjuZUriEifnP6baRZRlznwi4ubrmQp8IThRXXAYydC77BLlHfcd2rHhH117K71MzcH3d+uBTDJ62pvjfNedfx/i5P4h/js0b1vRM7Nn52LNHdmQj0WHWtusDqz3DL4+4z2ihFUrTip/kTJxBeskYw31i5y+H1XdVjJ20tzJ1/vA2vEE9bdUT/AR/SA3eJwrplGYJu88kiXm4y/vMV3yWex77nLpvIUwmK6UVV5KZfSA5ecdis5dgMjnxeRvw+/QNdcNBkUlwjc/FXqA4bOXN8WJf7AHh1O2ohIZJI0odf1lEwyF6N63Es7ORoKcfqytDRyn8OmCxpeMyUFmzaJwbs019weaUH/KFpOZHgsmy6+PF+sGMBoUnV+E+fvyuN1RgtqqUtFBAP+E6MlSjbljpF7X147tFS4YJW8EepOCg2ZhMFoqqz8BRJq6bt1tsu2PFY/gGdrB16R8IBz20rl9EJCSMjE3v36z7rg3vqvVerv01jb0VbK97lN7tHxIq/5zSqxKUWF+ZB783aBx639WkZVVAbw54XJjMDqzWfIYGV+FTnpVQsIve1/RZvda79NHVRJl30Bty6QfacU234c/5FOyq1eat23P1A4EdEbqe9VJ/kt5BGXvQ1eqHI0VNSGRApqfpfXwDqhG4u/TORIS6hHE65p4cqt9Ua1UC28KYM01M/rfS6L1YiGtY3GYG/uOn4fvJvZZ8G0NE+uW4RLlpnOY3uYZVYZGB7HhGa+eDLcivniyctqr1hAL6Gqj8U5Ssu1ZAJ6dXUK20daAuD+MPvwZn9pj4Ios92cHo+bsYE90vJNdFycrhfBtCrD+8ne6XvPEeWlpomQjZ46Ym1XNR2kLTP5+n/HZhNJZcm8WYPycH1hzVZuT05DFodioUVbOEc5rxPBLyDjLQspbin2binG6DMHg+C9D650E8deo5dz0rfmfmYXZMNom8M5yYM/QmQjgwmFSrWjDxO1gMVF2NUL7fpaRlVTLh0F1nEeRoFF9XGwQcKu02lj3J6xWOv4LB9pVxui4g3mt53bosnf6kO+jofgYk5cDLD4TNExl+LmHe7HbDB0cm1emtf+Yu2pf/h4ZFgi++42Y1KJE20UrT6j/Fyx8S5xaAoNeA1tWsNMvO7ierSO27N/GImyioPYyC42qY+If9MZcnN8XOOsZBwSXpuB9aB5c/SvbF6ljZelnqmuBQR5Tu570Mrw2x+aJuAs1hfPWhpN503zZIkoTLNt1wncWaRWnFlZjcPsLb0hl+qxizSS9CFw73EwkPQsiCd70HNgkbITN7JgxmQnuxXsQmawB2lkC3mKu8Q+vjq3ZsM1avHGish75ssssPxOkuIaNCPZ7ZrjqMmWOqCfR3E/alZgf0+xanXLe7GGjaQGBAZaAE+o3HT9b4ZLpiDEYMrDRF1TPo2TsKmNt7jUVsNnaqPUQTnTqHRTjyMYGdbu+LfNuwz6n7lmNc1W1Mm/UKVls+vd3J/ZY621WRi4JjauDgT3SKgpLdJF6aewE7/vMK2xY/x6aF9xMc6v9alS+1SFQdzCmfoxM90f79ZQ3jVKg+56eGy21Z4iVRuN9hoz6W+/jx5B1WuesNFWh/X3aJ3ghKyyqP/x0JCeMkGtE7KqVKNq902veZfPCjAPRu/0Bk9DRY/foltNUvYtVrF/FFMKBk+3SRw13BFBFO+O03we03IctRrLZ8PIMriCoCKcFgF9t/sfvceW09mKRkiRLPTScE8iUR7laOnfDzcysOpXbeQmad9VeoVrJXHmFkt6xWI42WEahwu0TAFv9ex3grjrGq45RWI6h9pjRBj5r+maAn+9aFCHdHk8RTADaf162jXkYTxWoMKE/d91vwvVUOO8sga4BgUF/bZnZZqP14ttrDy90pgg8JmHnEG2QX6ins8WdgjBoU63zMo8u0pk1RKYySCcK9EeqPV53RiCf5d2oDNmkFpTjeSXjO0z1Ew2EKLkqPq0vmfdfFpFeFg2pyivMKV37Oln8v0O2adezo5u01j95C45tPM9y5M56BaTi7m7a7B4kanHNsLBtB118O0ftzJGQV67NcBRNOYPLxf0xaboSwVvEvRrnU1jlN0yjbysTHvDhRKzjUeqmcUxKYC+e/AG1uOOAzzRdaUtZR5UeupPaaBYbrAExp6jWLO8LHigxN0/zkuWXtX/V9CaPhAPxd1MvbSuyYzDZMLglLnglXzjjKZ16MJElYHFZmflyTdDzJJFF+azauqWlQs5H+6bfq1gdbjeurtIGpQGOYdXPaCfdEv/VO3WhgLghB1MS2n/Qm9W8MBZVAVJ2mBjm7j/ZPl8IGfUN4QDj/zRXC0fM5GPZuQJIM+skq8Pd2MNS8GZ66BN+9R4jz0QiM6GwOpfRizWO3pTyenKL/hD+0xXB5KoS8g2x59THWPanWkW78q3F/4pFKZ4xsuzR3CWZ72l7L1MmoQR+TpFUL11zbBCEdh1UEddzpqo0SCI/cEuybhn1O3f8IbCPUwsUMn/hEpYFk1VuIwcHRGbfRcJgNLyxgcMfmXW+sYHD7pvjfQzsaCPtGrwz2VcJqz2TayQ8y+YQFzDz9acYe+OOU25qso6c17g5cxZVM+cH1TL/8FnKrhcFTcsh3mPqD65n6gxspnj1yu4Q9hcxCfXTTkVHCxMNFU+hYE+FYpi0Gk0XNPmhfRt3b3mckpLuTI33RcIDBznXULTqb/lZj5bDmlU8QCSfLvCfB4YPxW1l/jEJBDNoIB4aw2vRUJe+21NLf1W+owkHeNfpMTMwpqX5D02hacXz5xV0AbPvZniu03nGTGuE0UmCUJBM4vKJ+zJOcOTFbdi94UzdH07B1BNGAmsUpeicqkBUGzrTPiqh5R922b7HqyEVQ/s5SfmNeQnQ40ffIHESWg6x443TqyltoOCd5bqOyCX51J9x+I9x+I2NuElHYYJcx/61k6jnwoweZulKlQ68cL8ZG1rEOqt8oYOaGEtIPsCGHYfNF3br9t1zQHac1ajHzqjuYfsWtON0l+LckGF/pHgL9XchRfe2TJU9cb+cUKzPWlhCe/D7YVCpTya8djH907JHengAAIABJREFU9+i0waH+L22sBzVO3YRDr9dl8o2QU3YwM057kmmnPMx+Zzw34rZJ36U1/vwOCJtFf8EYDv8QZilzxM5S6CgifbbiRL97HFyrOmFp1SkMbK2a7lOXpMzsdd/rxLvKeNw0vfNXAl4xTnR01VT9PAEevlL3UXtdJ58pjPcZK4uZtsy4fnv6KtUYnblR/U5dDeL3VBXI9geTs3uQuqbVnDF6JedvK6wF6rOaSBEPBbsgYkLXeLUvh4HVeiYUAK6EDNrqmdBRAPWT461kImFh60RDQeqf/xNbr+yGz4XDGNim3oMZV95G9Xduo668hfaHxT2LlWfISouj4WA9mzrPJBL1UNdSTl1LOf6QoAFPLvyP7lQ2dZ3F7iDkVRkq9c//iUgoEG+QHoNksSrnNYJT51Izn5XHn8PUS36NPSsPa3rWqJy6SNBP/XN/xJtCSGZXaO6/JU69dFgmMbNkPVMKPwAsOmfbJOkztA7LWGaUrMHtUp26UCSZuv9Nxj6n7n8EVoN+YHaHyLIEA8KoDQYNJJujerrlljfV2ghPWxP+3uR9wn4vHSuWMNzZwo53FyatT4XEPmzBQeN+SV8HbM580jLLMFudSKZkCqorb3S9zb4MHNlurOmZVBx9FiVzTqJo/6OQJBP27LzdapfwRVB15C2MP8SYrpCeL4qKQ8PC0La7VCcm3kDYAJ2bU6i5ATtWPomna33S8i1L/8DmD4RRs3XpXfTtFJH0RCeufcPfUx6bq/8C57wE1VuxBsbhb1ANaSEqok57Fks2dKgGkvMX/47/XXxNBs6Z6gtg48n6ZyGmEtftXUhb/SvsXPsSrUr7h0nfu0acd1/UkJb3ReBbrxr1TSnaKCAhBFO0Tp1kpnTauaS7kyP8qdD7rt5hiVPbblYzABOfz2fi8/lIFuOxWXqrvpeirdiiM67b/iyMlvLfZhGdthwyB+JKvJU3jtUfLGwBSWOAx9gG7xwPiIbJkYiPvp731Nq+Hz4iGtOn+SHNj61IBB+G6oyFCxwZJWCJMNC/DFup3vmxlZox2STM6SYck6z4NoQM1Q5DXcnCFGabQ2fk6KC0U/B1tzLU0kigv5uh5s30drxP2c1ZjH0gD9nm1dmWAP6xi2nd9DLbP3/Y+LgGiPiHsRUnO3UFl6aTdYxw+CvvHrmmOibKU1B1CplFM0f1vRZbOra0XF3wZzTQ9bSyBTH59FF1TDIUKQGbBUJoybfBIGMx52PVSXF6dc4OByw3/vKzFiUt2nmXsTHas/4zvJt7SKu2Ys4wxUWlEp26/PNdZJ2gXIP2Ypo+fUwNuCrX1ZQZxaxcJ1OaSZcB1MKapz5HZpc6n1m1YkgHLMdWJu531zPGAdRU6rXhnm9+r7ovC1OB6qyY09Xr3Nr8JFueXQg9CaycT/U1awBYQjqBqji2jUMeSBOKvj4HG15cwLqnf0/78vfwdbbiX5YFHx4R37zlTkWca7udjceKwNbO34llkllvj/T3/RfPlnb61jfAepE17PCIeSDNqrdTwtGe3ZLl1wZSfF2teFub4p9rzrsWW2YuUy78BaWHzcWenTqRIJnMZE+cgcliI2/y/tizxLW0pWcx0LQRb4dxbWgM3rYd+Lrb2LTo/lGfewyD/g/p9DwR/zzR/RySZMZhHUe6rZZwVLzb8l3n4rIlK3xbTDlIksSYXFEbH4oYtzr5pmKfU/c/gsEBvRCFJFlwF4rGuQ3rfwSI6JPFqo/uFk49XvfZ17kz3oOk6Z8vsHNpsmHe+NZztC5dHPuiUZ9jTNI2hrwpqXvsfNNQsZ/oZ5NIT/wqYLY7KD7oOCTT3qPAZLgnp/xtJrMNsy0jHk0O+vriynUx6qUWo6FWdW3R94QZN1v0gUpsFt748Z/wD7XS9Jl+cm/f+BqcqvTG+9O1sEDtI8WY7Zhmr6Gg9mBCO/QvxICnF0ljIVttbrhPkZ0+9L8MF6k9fkrmZyFJEhP/alykHmqPgC1Ad+ubtK5fSPvGV0EWRlJ6gSplv/GUPf9ScExITe0h3QOedMxW4VSVTT+PourTRxSt0CI8GGbbzWoGfsIfqzHnmgEZqjfGjYTMIxxkHpE6+7fz0U1JyyRJwjldf+45ZwNeK2QNggSTHppC/twEA76rSK1/AmhMcPqA5ob7aGz4NZFgCA7/ALLU7ER+4RnY3CKL03y3QbQdNcvRvPIJJjyVcM8105yR8EsMo222nn++uDdSjnAANrywgIZF97PuqTtoeOUh2pb9k9xzwVZsZsurGrXZ8h1Q1kzvzvdp3/B3ure9h2+wJeX3aDOAQe8AlvzkMZB7WhoTns6ntrmM/LNdSeu1EHOARNm0877yQFNMPl2yWDCbs7FnGBiRWfr6nPKbk7MHjuveVsfp3DehVKM+aQ1DvkGWt9Qgey9B0YHHkuRhA3jSsRaJaxvPujn1lOLyW7MpvFF1OnseMdPXLBpd+7tFkMZ9+ejnfPsYC7nf1bfo0JUSmGSqF4+sZh1qj4AFxt6nd2Dyzxl5HPwvwJSv3p9gu3hOotEAbZ+/CX/6OTx56a4PErbqajuTIEVh9UwCPX0E+jpp+/QdCCQHNzoeHGK4Pkj9cclZofTiMbrPg+t2wKcHs/07BXDZE0nbF6RfgoQ6x8b6sY0GsVZTMWz++yPxv50FpUy7VGTcRMB55Od//CkXsd9Pfq9771jTs5AjYTa+eM+I+0bD4prKkd0otQBkOczmbr3Cms2sZru1NXTl2beM+Buy7MLpDkUN5odvMPY5df8jcChZObujgpy8o7HaCrDahGEUDHZQt2wOQ4MryMhUZZCn175ByaRzk3opBb0DyLJM0NNv2JdE2z8t0N9N3T3zafibGjHe+saTrH/mLt0+/t5OgoO9Okel7PDTvsQv3rtw5oyjdt5CnbjC/0+Qo2G6G/9Nf+vnRIJDuMcfT+28hYYKdokiCLPO+mvSNolIyyxPuc432EK/krHLH3uMuuLID4QzZ0qORE6f+4gh1axxThH9Pz8EBjPg7IX4TvldXIgDs/ICWTAfFsynr1nQDzMPUR0X/5AY+0OfBuh8wgNBu6GNB5D//T1nGMmyjOSQKLhcBEb6U/THszndkO7BzoS4k5KqH5gRwoMhVp+oz16EeiUiW7MACSwRXZ1uKgS7grr7Yq0Zom7ZHGQ5gvPep3Tbrll9AgxkIdllZi09mPQZBoq4EUnfouBXd8HZC+H9o+KLes+ZC+umEG4zCfEnBbMOXkrluJ9jdavL6uYs09NL0dfLWgr1Y0or7Z5WpXdKZzWqoj0b56Z24KMBccziazPJOlKMqdKTjki5/ZpHfyPoVp0ap23eK3D2IujPEaqQLWXUP5G61qv9c1UOP+QZQDJJVP5Rn42LUT1Hg5CvF6sj+ysJOPn7uqi7Zz5DzZsJevppfl9k411FlTic5WTkT8Zks1N7zQImnPlDsVOGnlaYN89FbXMZ/EUVD7IWiTrQiuZ/6B26GC58DmxKdq1qE8xfIIR15i8Qx1IQ9ntov9WC/S2Rhef1U8VcsXq64tSJa7LtE1FnmFGkp7KbbBLNm+9VF3QWEPT1UFfewo4TRJDCUT76OWPqf4sY+2f9s222OKidt5ByJQjZ8NkvyT5RjLW68pb4vxXjxJgKdkSwFZrJPd1JbXNZ/J9r5p4VA/smQJZl6u6ZT+snQiHcUarOM11Peagrb2HlKxcIIRSAVkFrdc8coRdgazFcew888CN4fW7y+nUGireaOUuLwLbkLHOwPYItM0dXz+ldkzD3J7z+yrNvZVaZqvC4unUqdS3lo+pbt+O9V3a5zZdBIs08Ed72Zuruma9r51R3z3zaPjNWEE1EogOWZtWzU2ICKGYpC5M0cimN2ZTDzJINFKRfPKrv/qZgn1P3P4IJNXeT5z6FmmlPUFJ+JeMm3kpOnqDGWTUNxbV96CxW8XIfP/cHTDjj8vjy0NAAYZ8XORIxdOrCvmQ1r6EdDdTdM59oOEz/1nX4ezsIeQZp+/TfrH/m9/FiW62QhNm+dwRa9uHLI6Z411YvGv+O1FQYwJ4uJs+8yiOQJBMVtVeQP/YY0rL0Ai65FYdSdcRvRnQ8Gj9W1cMqZl2W+kt/+Xu4ZgE2VyFmq1Mnyx2vtQFYtR/Z63+T8jAxQZEODX3UeagY8562Jrpe9LDj+tS1crkVwgjQCqn4twmqXteLHhrO7cK7KkjHo0O0PziILMt4lgfo+0fycxWDb0MI2S/rflPEm/yCnHT0b8mumUqwM4jVoVBeDFoZdP/Va9gawb9dT3MtvbKCQIPme4bTaGn6C9u33klX+6vG57rVy9rTlFqn4layT7cQulbQ41qbH8MztFrd+FiF7jqQhSXfpIucTn6vkOq39PV6kj4xAUOqYSb3ZsBtyn1tK6as8mqqJj8QP6bJbhKOnUYIJBpUf5u2p1p/3xKKfpJB+oE2Sq7NpPAylWVQcYfqFGUeYUeySkzQ9M5KJY7T9bygWtqKzGQd7WDsg7m4TzRoTj5aaASuYvXKfZtXM9QiDDo5GlEZFaiZr7yznYx9IJcZa0sY/2Qe9opdKx4PdqylbtHZ9DQt2S12xmix86O3WP/0nYBgggx3qI6sLSOHkGeAoGcgLs5gdSp01kxjddn/x955R8dR3W//M7s721e992JJtuSKTDMBUw2YXkOoCSWElgBvQkIqnZACP0gIIQFCKKGHQCiJaQFCR8a9y5Zt9d5X2jbvH3d3Z2ZnV3IF29nnHB/PzL13ZnY05X7b8xSZVW3RodwnWMPX2MIVaofT/g6nv0DpMWGNuksfgroVcKyY8GdOP5DaC0U6evVz4ps5tiEAq2sZXwuZ+82AxrDG5AeHwIiLnqa3aPznXxjtF5FgZ1oZXKuPSHgHGuHScOQ1vY+Wd/SshbbCXVOzHXnmxwa3xo3OKn7oeHCI3udHYd/nRAEgOC7er20f/Zugf5zCmovgx7frO/3qBugNf4va8wEJ64ajYCD8nsnuhDkN8N7X4IN58HQ4U2XcDo1VgmVZi7E4f894RCvA0MfGe3nLjX2MbfATUrxYDtUwYGucDRF9xoIUPflOQYq+nKJ7ZGKJg6AvMVPzjMt+nrBte6AtudnwkogyKqEQbZ+8QUfDf2j96PW441o/eC2aQaaF17+WrmGVodIfUCV8bJYyqrKe1PWXw1E7q2VyrWFJkjCbto3Vd09C0qjbR2A2Oyib8mPMFhd2RxEuTx2SJJGSegB+TS2d1ZpNaeWPScs4Iiq6aHG4SC2bRkqpqJ3yDQ/gD9POBkaHDSFw8wSaaR2L/xNdXvvc/bR++DpjvZ3RYtvSBedQcuQZZEyt3+3pO0nsQoRTKEb7REH2ZCyg7izhIYvUImZXHE3p3Msp3f8KXb+C6efgyanDvI0ENBNGCHI7obiZ6vmC2EU7mcm9TF/T1H9PiXH8ceKDEhiLODLU+9N2iPAAehtH2PLDfsbWh72eM/RirACFM88H9Klg687uJtAXZMsP+xl6f5w1J3XSfOsALXcOMrrEx9rTu9h4RS+hcYVAXzAqzh3B2lPF8ZUgUbHveKl+VkcG7tICFJ+CJSQmo7EGsxJU2PyDPlYt6IhGjyIIDOgNvZyz81CsYc+wxQ+PXwBAd+c/2bLp1wTHxxhr1nuOV12guSaWIP0NmyBFXNP2lscYH2+Hg8JRsgsfE/8PpEbTIyNwVMm4ZlqRNXVg016KSctMhCsewOWpw5Oqr5nIPCEbNGQm/m4fgX4//j4/kskSrafdsvghCm9IpeaFHPKvTdHVDZrsEtP/m4djqkzZb8W1jYhNg55RUIvmm0Rqk5xnRpIlMk5yYjKZEurXxcIzrQhbevznbv3fHxS6f6/8lXXhOpT+DWoqsyMrP0pQIJkkMk52YkkzkXaMeO5CQd+E5EPr37tV/X3eXV8L3f6ZSvAQ8A7rSLSs7hR8IwP4hvqQw0yA9vQcXPmlVJ9xebSftl4zc77GWLb6GeEDsXzIf2HWEijbDKVbyJy+PxUnfhPs43DsIlEfZR2n5IjToxTsnoNspJ0ko/Sp76iedk36+JgDkMA9LK55+PZy51RDyVY49wn47r2qQ7N2tZBbGEiFh/UpfrtKH05bWzfwcXwHVPNt4n7wbdm+FLe9FVqCji1vvcBoewspcwqE7EkEHXnQpk74zSNFtNwyBCvDpF5T10BrIXx+QPwauyfDqX/jVhjWRF19spA7CJoMKcMRDP1XGFXZ33KTf70wIgfeHGPtGV00D9xJIHeF6KgAYX1XAEu3kFtwS4cQHFSdVBlOfSbUln6RQaP4FQIDRodgy/v/NGyLwOreCeZkDUqOPCO6PLBxJb6hPto+eYPWD1+n+b2XGWxak3Bs++d64jV/sIdVHUezpf+HBEMiYu8LqUZdiu0wZLM+/TgSqZNNeimDfQlJo24fhxzDiilbs8nKOZHKmtsNfStOFIw/Ea+ogIJ/VM3JHm5rMrAhaaH1DI/3G3ORM6fVkz3rEMqPP8/QlsSei9h6u8lS+lwZghrY5tF7xFzpFdFoW9X8n2NzxURiTDL1Zz0bpuiP71m0xoyJ6AiW1H+b+rOeje5TO0FyTp8kneikl6FyE87sMs1GdfKveMSHv/PbMWQj33qUollCiNmZXkn9Wc9GDV77FJmKB8Wyvz3I0pltcQ+97lyVlGT1wg6Wzmyj9bf6OoiIkeeYaqEkrGnmS1C/ZUkTk9uRR2swmW168gT0ZB5fTGmJadN7Q012M/7uUTAFBSnFuhpd+4qzlrHy7CX0/3eSiX6zmqKohMbh+nvg2bPFZBqEUZcbP/Ws9C71/B1T1Ws6ISo2xWUEjjUch5cOsXTh5yw74XP63+3VCdVPBFuphdo3cpFzxT0mmSSqnhTRukR/l+g5xEzcIyxyEadaXMg+fEoT465lglAmDtpWqJHT8YFeghrPtiuvRM8mGYNVb9ygExT/MhEKGtPCNr+hPvuyOxVCIbxdrVg94t43WSxMPed7eIqmRFMGIzqJAJa0BFObAz4j/8jDyUOIDDdzPelVM8maHp6gO0chp4u17+oj+f1DMXJBn8apBw+T3piG88koORSTK/z+mLsYvv8bVr/7A7Vv6oAw6vr1k+XI/bSz0L6f/SX/3SX73Nuhvf97V3/O2md+x+BHfXCUnjGSp86NLgYfDRtGEeIphxe8Ezgg/VZBsnP/1fCny4WmJsDvr4HHLoJ7rxX7KG0CwJyqOosizLh5V7jJ+aYaIQr0huga/ovwMTpGYZk+rdc9eAIAfQ/ksnqhWpMnm+M7wJqu72Xp9FYDgUrXMlHfmT3rkAnlO3YGjqx8qk5XHTHLH7qVtnA67GQI+lSn0/B4A8vaVKKmJa0i+ukPqkad0zrdsI9ITV2sPt2+hKRRt4/Das2ZcF0Ls9WOyWrHN9yv82otf+hWgn4x+dJSzDpzE9dBxd2/zfGlkn8ksetQfsA1uvXJInVZFccw7ehfkpJjfLEmaptxwh+YceID0XVtJLdg+jnMPPkhAOqOvVsnuD3zxAeYdvQv9fV2CKOq5sVsat/KxZpvxvOLj6EkAUVyjohmB4Iqlb4SUiebQUu3YUgEVkcmdcffF40QapG+MDZf0AitVliEqbP9vqFoeqUSUlAihHpHOKK1Oxu/HZ/ZTJLFdfOttzLt6F9iimFz9SdgvAOV7r/yzhqmPyuiXONtPsjqVgOXo+qkJqKd1/gjlRTFVRcnZaWl0LgN4O0j4L1DoS8DOTW+4R1hprOWiN9tYHBMGcZ0+y8N42TZSHAj5+izDJpuVXWcGm9cS/8/VYN38+cPbhdzXCSi2P6AkT4+OKRJ84wx6iL6VK68EsoXXkDR/FOYefnNeu3K7C7Gh8MTFg1hjDlH3W/7+x9Elze99hibF4la1qnf+B6yOzVu1gVAV+Mixofi1JqF0bHuFd367FMfTdh3RzCw0ciCG8Gs79wSjRIooSBm++TPUwQzF+dT96neaKrkRfL5CVJ46tPJ7wBBxqLFaG+MvldaTHTl2a8bDxiu7wsNmLE6M1EcGqp7nxVvt5pSmjK1Qhh0kfS8gha48v6EbJfbC6sjgylfu1GsLHwNU6p6n2R+XX8Nq5+fmExlX4CihPSEQ1qUbIXznojfNi7eSZ702VSefAl8ciDcdHP8vhEMabJCRuI4qkZc4Bmi6LF+Znycz7R/6edkzeYbkFITRM29TtgwRbep//LjmeJ/A/86B+Obg9H0b5NkzKgKKV56/yGc8i3viGhzz8rPdBwIxYefqhsz6zu3siuh1eNLhKrTv0PNOd/VbTNpWEBHfF/EHecLtCFhZWrOq2Q6zzG0R0hTtOQp+xqSRt0+DtlmjNRNBGtYR2SouVG3vX+9SOWJ1GVUnfEdppyipo5sC5OlPWMbU6eS2ONgsth03l+zPPHkSpIknOnx64UStVmdWcg2PUnG1KPuILf6JPKmnhZtM5mtZJR8jZL9LqX8wO9hMltxplfETed1z7VFiS3Kzz8a20xNeuFcDSFIRpjZc0g16kb7NhIYFxO1QJaRyZFDhAfcbPNgd+clvCaeQ7aPyj2Cvn+Kj29smmUk0hMcVPA1GyfpaV9TI1tWWz5KQGFktTrBnCiS5O/yIWdbSZufga3ITsirMPJ6qn5S+95h4v91Veq2EPS/K66hv8ePJUOm4NvFamrT1mIysxcaD/jqifCSmESMro9fU+iabSXrfBfVT4bTSWOMIsftzxCqWgwn6tOH4kmTyBkTsIYCbQ90YLGJyFn3prcI+kdRFIXuTe9Mqo0Y+bsMvm3sF6GOl/PNOu+8ONHIukRGzRxy95uP7PTgyi+l/PjzsZe69WRArhGc+fnYczKx56dGI3eKJpV2pF0VzHXmloSjgYpOhwqEVMiWxQ9F10NBfaRWURSalz4WXZ961B2TPvvbi42v/DVhm8Xh1ulhebvjR7vjQc42Y893U4ogXSjkLtI4FQkzOQi23DROAyD/wGPIrDuAquO/b9hPMDCWUHNOmqb5ToYjddi9yI4Mei2a36WZ3NcccSuOYo9K0ARwycMUnLr/Nv+2bUFUcsKkYL9NnIv9+6+TeoUanbdkmXDX73ukKLHQUvPHRW4nfO39hM3+Tom0yjr4hVEAvOSONDLP0TwTbaqzO7P8aKFZp8VQChRvJfvQGsxuE846/fXv8z1Hn/cl/ZjIo73g39ATvm/sasZU67Up0fe6Nv07b+QO8hY/g0lKh1cX0v7+x9G2jotmEPSP07ToKcZ61QhfxPFeecolFB12MhbHrmVCdeYWkTFtYhbxlNJqXDnFgASSCdmVEpNpEJ9wxR9qRzbn4rLOjDsfkM155LgvJt15/E78gj0bSaNuH4fFok+9iqdnp2sPG3V9a/WeEEURD1Hn4ncB8BRPQXaJSbYrv4yyBeeQf+Ax0f5lx55LLDJqjJogSew9KJsr6uGqD7/pSzumK2MKRbMuiPuCzq5cQEbJIdu8L9meRsn5mjqIo94Cj5jkShF6a/ewbszSl4XjwjuyTr+zW34GZwh2PptrYmeFOVX/mnXtLz7ixTenknZC4lSeiJC1v0P/ATM51P2tO8uY4myyqUZP020b6Hu7hzWXLGe8bSy8P/Wjb3Lrr6uv06djiVx1QlhPaF0NOedovJsjTnhQL6DceONaxlvG8Hf7yFyYTf43i+DGMGHFR/PIssRQhAf1vz3rxPhZBJIsUXpnOrYyYaTJ2WYwgXOGTP3WIuy14d9zYVjcer/4ovVAVKtuImijwH5vL53rX2Xz5w+w5MWLJhgFZk/iz2nEMC+/L8NwL3uKhOfdXVRpGJdeM4exYEydiUlh2jk/oO68nzDSs9pAnR8LSZKiBCOxKZixKZex9XLdG1XdxuLZ38SVoY8S7BKEr0ftBd9nyikqEVLRfJH6pjXqsnZABieLb1GPQh4qcYSFNJzMJYSo3ZOdHsoWnENKXl20z/iwmOj6vb2qUWfTG+y2b34YXU6prcSelQuKhNlhpZfH4chwap+G8dCdVaN3TJgUSO8ns+zw7f5tE0GSJCzh1PRR/3K4+3rMMzazcfGtMP8/AMz4OD+hzuS+hLXPqpI4dd9U2Znrr7sbDgobOgfEaBaWqdIncaVKTGArt5B9gZuyX2dQ84JwOqU0qaRzPT+ugCfPN47N7RAMqxHMXKpr3twXoxn7yokAWNMyYDgcCZyljhkdWBc9R63Trv3oI2i/qoS0J56E235G23kaR1xuO5tefVx3mIypqhxRWkUdufWHG899JyGZzJQfd+7ErKKAZDZjcbqRXR6sKem67DF/qMfQPxgaxRdsnzC1UpJMFKfdbGDF3JeQNOr2cZjNwoOUlnEEs/d/A5NpYq+c1Z3K+IDxgdm86Gka7lG1wCLaI3Ou/iXVZwkdPItDpF2lV88ms3YuMy+7iZnfvpnZV97B7Ctvn/QhTmLPRkreLGad8hc82fHZu/YGaOUJyO2MRqBq54epxl2jkNeGZFc/jF0b34SgBc7XfAA1grNaMfZtQWROL+dPzDq45Uf9BEdCbPmZIDqY+rLR6PG1BNl4tfF5zb9EsKP1vdVD53MiujHeInI4fW1BMEP2RS5CwwoNxc2MrvbRMO8jhj4biAobL65qYXy9+okouirMXBoyUZSuYUPTTHRXnPUFSkCJ1vV50lUSkLXnNmH2qWmY1tEy3TlnHr9t11GySMjZpmi6o7Z2btaafPj+bxINRU6fOFIHYLGqnmmft4ehzkh6oELjRxPXmkSM9Ah1/MqjRMpkZKIVT/w7paSKWVfcTkpJlaEt6I8vGq2DOXHkdfaVokZQDqcwrn3mPt17PBY+jVE33LNOF8WT47Co7ixCAR+EU1wdWQWkVtRiSxd/TwPTJfpJ587CShE+Emv89Wx5n4bnzmblv65V6+VK9KQjSsVqWDaDgmWv4z/pAfz+bgiakRzhjABHOJqikeMI0K2rq6x6KpvZpz46aUr7jiBW8H2kJ+ycOumfzF5VgMmW2KDz08kKpuBlxS5V7/JpAAAgAElEQVQ/r68K1WdegT09h5mX3cSc7/7K0J7+u/cofdwP1/1O5+ALDiiMLNNEsU0wZ02hro4z8j4KLC+Y/ESco6xbeTWhkJ9gaBjuvwpePJWUD+OnOppXHMrsgrXkf6pJhZ73IVx5v1hunIK/U6Turzury5A23vv7GFZOgMpGBjat0h9nO9KbdxoRfb85iym55ADSqoTcVvlC1dFkdadidaciu9N0DqmOoT8AMCPvU4pTRTrsktYahsc/ipKh/K8iadTt4/Ck1lNYciWllT/EbJk8jC67U6PMYxlT96PsOCOhiUsjhmmSrWquc3i2GpEqkN0pyC4PZptd1NMl2S73emgnvHsrpvw1k5JHghTPuZjcX/ZTdEsq9kIn2blhZi5LECVDZYzd0vAnsTB7iYgCnfG8TpsuEJhE3DXc15wiUfDDFHU9Jko25dFMsi9ykX2Reo0H3hxjdKmYIFqLzbq+EfS9ZCQuyjs/bDwpMPJpCBSRWhkaV+j4wxCSLBEaVT/8rb9S0yulMOW/MqaZGNx9HZJZQs6W4T9HYR3RGPYL9bTsAMp4CEUJMTS4WLc9fdkv8Lx9KyZzKuYRlZbbXrp9VO7Ft6aTf7WY7GuzDywuMxW1t1Ez/U8Jx059aAYVt1VTfG1ZdFvpjWo6sM1RijUcfe1v/kRs9Mmwror+5o8Z7W9i1aLv07LCqL84vlFP+jG2LoCiKGz+f8IYSESEYbHH//0RcWp31jTKDriGqsN+StVhP4221x13L1a3auxPO0812KrPvCL6LrZqol2givs604Q+Wmq+MJa0kbq1b/9UN2ZbGWq3B2N9xkhzpIbOFK69kUwmyo79RlRiYFdBphA/RpHxSKS2baVGjzGzB9elq6l+RBW9ly98h/GtY5DWT2vfnXi3dhMMDEBAZmDDegCc9tm6fXP0G3TyB0xuderlOdi2y1NaI6ien4CK3qQgOePrliko9PI3+niOcRpp59fbdcxO/sAmzsPPniHaHLnXAexhRlPZnRKdt9RM/xP5x8wDwO/vo6v1HyD5DVkbTdepz8aMT/IxOSSdURx5tkdfiMOsDHCThnzn2H8zMrQS33gbI74lYAlCXgeDkvouLf+nl6Iwg7KcJzG2zMLm74pygJT5NkqOOlMlmgJQ1HvKt3kSRlMpBF16J5rJaqfwkBMmHreT8Ae76fcKzbmh8r/C9OVQsZEtgz+g7JivU3jICaRXqUQwhV87gYJ5C7G6U/APDzDW18lAs1qDa7XkY5drRHrqiBOUfZsEZVuQNOr2cUiSibzC87FY4gj6xoH2459Zuz+Z0+oNfVIr4kdqIuxtmbW7tjYgiSR2JVKPdJB9TCk5U46j6LCF5H5LGAcZWUernUzBaG1VFJ4hOP9JOERNucI5QtN6Y52FFtnnCyOtdlEu+VenkPttcTzHNDnaBuA+wEbJbemU3KZ6VTddrU4kLBnq6zr1KP0EO1YbzWQL9x0K1+6MOvF3+Wi+TRhvyphC9oUqoYnk0I9XApr19F7SZwnabH+XH4ISW37dFP5xnbqoZQRp8zPo7QrTvk9ZH93e/dQQQ686cXYchXVcfY+kHb59UYr04x245ogohBSTfZCeOR+3x0jQE4Gr1k36kZlknSoMt5IbKsg6KZeyn4r0x0C3n7pjRUSue9NbDLQ1wFtHifq/rixWv3ED3oEttK/+O75RPYFOwQ3G9+zQ++rEy2TfPsdWJFJWOOMbZJYeSkruTFJy1UmP3ZPPjIVqapktQzXwXAWqARLrgd/8phAZDgV9pBUeSPmBgpQlEqkb7TcSCsVqTO4KBEbFvaN1FObsJ2o2ndlqVDezdv+oxMCugkwhQfoJor9/tdc3Cgmqf3IYrrIsXPtZSV1gxz87XMPZkwkNc+GzA8AvIsG9H2wEBSpMep0s0vtp4xc460Q/k0farc5OmzsvKkdjsetJY3wJpCmGeJNNnEdrmCHUoG49ARRCbOUqevkbjeF6xa8a2ghPvPowt2c6BdPPJL16tkjxi0S5xuOnalf+OTOu9ITJqv87ap1wXPww1GjqssMak35fF+u7vxH3OPLULnIudYt6755s1pykOhqLfpZG9qx5cccBrDm9k+DoBELfx/4burMwyeI+rD7zSuZcdceEclW7Al3Dj9HYczHB0BBjygqYtiZaL2y22ck74Cgkk/qdSymtIaW0GtmdSsg/zspHf8mG5x7W7dNqzhPspL2ZMOLaZZE6RVEI+Ae2iyxrT0DSqEtCB239QmS57qIf6fpYPXFC+YA9PZv66+7GrZlMJJHE3gKLLO5rUzhlWZE19TOmoN54yeqCombI6MPrbZpwvylfs1O/tQhrofAMpy1wUL+1CDnLHG2r31qkq8ma/r7+w+Q+0Ipk0k8aim9VJ2lfVOsjDmvP7IStxSr9dm8mLT9RGF2lobmfrRpD/f/0i/5BE/3mf7D4Xyfp9ldRrU8LCvT4hbf3+7+Jsv5p4ahw4vOJmiT79YsM7blpFzNwn+rRtubu+GQiwnJZUHz5JD31MFlN1H94MNlh4y5SS+jrGsdkjknTXBOuwYihM/eP6VkR0442RrM6/zps2LYtiOqaMXnqY+mpJ0JRM4Hx/mjGhJYtTpKkaFojgLenlYbnzmZsqAWrMxOz7MBkceAfFam8AZ/6N41IjMj2GCfHTmLzG8+w/u9/BKD8OLUGO62ijvrr7kZ2eRIN3SWwIiLFS3CzgROj2yMSKVpIJjmayjj1pRymPKypTX/nSM1ONZGTZTORKaD+LE3EL9KUbSFr683MWZWAFXYXov7Mp6k/61nyakSNos0tamMjf+tYBBCOiiCqrNG2IjIWwEt8hsJdhcX3/oAtb78wab+Nrwiin6ozvhMtG4kHqycN31C/+tyl61NtI8zEacdtW8S66jHNPZLRq6+hC2Ndu5F7QJKEwecLttE98jfozWDshanRdkuGCUeN5v10uvEaBLpChjpAaermKLlK1tQjoC+DUHAMKjew1Xr1Nv2mnYUv2AIo+DTSAxH0jgonyZh/Iw3NxSxvU41Wg06eAtXZ4rmSzXkQDBvQQTOyOTHD+6TnN95Fw0fzaPhoHmuWX8zSz4+nq/35Hd7fV4GkUZeEDlpPTSRqZ8/IIWfOYWTPOoScOYft0rqGJJLYU2B3lFA59ddUVIkc/WDKRrXRHKSg/HLdegTBoHHSrigK7S1P0tb8l+hHQlHipzvFQ4QUJILRVX5Dn+wLXGhZq1t/MxDVsxv+JGy8+WJqaj4V+6l9U3z4pr4a8wFsLYSNRSrDGmDSpm1r7UrFRE7RGVDZCN/8C1yi1l+NjmygdaugEK+uvZfpz+lJkgY/VY2hituqyTp5xz/EaRmHUVF9O3mFO6d9GTHqYrX62KKRbhlIhQ8PhoAZPjyYNSd20b5Cr7NU8Ud91HFgkXAOlN2bzkD7EvpbExO5aDHco5LzxGoNGs49XI/l9/Yy/Vs/MdCBA9ScdVVUI0oxj4p0pc7sqBETCvro3PA6Ad8wfq+Y0BbOjEPysIvQveIT9fzd25ZJsishoxpUA7zKKMvo4kEkSTJEJacff69hfOpRcYzOVE0q9vuHYiJsCB51B1XH69NHu3mILxVhY9/qFM/2pk9/T9NnD+i6+OmgGf159vIEyjYadtp01hATE/jsCELBAMsfuZ2BpjUooSBdSz+YdIy3S5zTZCyOsjsVJRhQGVZnLiP7W27q/rPtrN3Z31SPIWvrZ/PahSPw9h/D7zQGVNAY8YvQ7XePPBUVDNci0Ksah46sfLBrnI8aA2/rzWGjPFtE+NxF5ZT9u4eaF7OxF4Sft750cHjx+lcSUiZm990ViOjIef2rAXBZ52KzlAHQOvhbANqGRH27L7g1Ok6OSR+nJxPZJJxUZpMLj/3QaJOEkTeie/nHjHYZU61j4R1V37mjIyKyOhm54J6GpFGXhA7OPOE9tzjd0ZoGENolJUeeQfHhpyZr45LYZ5GWfgjulLDTQksjHzSTW3Smum5RDTSL2UMwqE/h8o230rLl/qhhA9DfO/kERAvXXPXjVPmgMVIjmSVmfqoyUrbdO8TAm9v2YR5aLrz0rplWsMQYjO/NV9n6HKOU3q2maU751VRd1+Lya4WhN2MFWUdMhf0/hTOeZ/UytdhdtmZiK9RrE3W9oFJopx+ZaYhCbg8kSSI98wgkaWLimclgzRYTcF+sUfeC5u/+1lHwyUFCAPgTwaTa8sAGAr4RQmFdw/QTnJizjUZ4xilONrx/B40f3KXbHgqME/Qb6yLX/UetwYnVGjSce9ioGxtqxZaagVuTzhiB7EohpbQGe0YOY11d0JcBPhu+/iGUUAgU4ajY9Ml90dq67MoFEx53V8Fk+fJp9a3oo2SrmcUWvkOIMSRNpLb8oGuxOo0TOyWtw7ANCTgonJ5dImQlgr5x7J5iUtxzKeB2Xfcgw4b0z92FjOJ5ONLKKZolnk2/t4eepneizNYAm7kUfxzymHE2GLbFg09j1FlJUFu2DRgf6IlL2Na35gt8Az1seFGtmR3r74rbF2CkXU0jtqdP7DiK1XDMnLE/JbekYa9U7wVL9sRTZvd+qhPN7FLJnDIOqRHGV9UGQdAVgc8q6nU1KEu/B7OUwrAv7PQ4+xldu8mlvisrTrgIxzSN465U/b1RaZU8YUjZ8hxkVhyEe64Ne37YITHsjpL5tA78dsLftisQidBt6r0KALPJw5RMEUl1WYXjr3dUNUwVJVxPHmvUvXMkVksJSjCIb7Q/eg3NwSw8dj0jthIKsfnNZ1n9hPH3hYJjBIMjBAPDjA/34Pf3GfrI8q4niNqdSBp1Sehglm3UX3c3sy6/JWm8JfE/CbNZm14TNuwkRWWONQdAgrrZT5GZvZDx8RaWfHqMbh9+v7FeJRTaPk9o0c/UD1nKofEFWy0ZZjyHqh/1xkvE5CYi1J0IW+9uUlfyjakwvBWuL/zdNaTPVye0qYek46mPH1UpKL4EznkG5n0Utz3n60bB10T7+ipgdpkxOc34O4VR50iNMykNkxHITapnGL/M0pe+ReMHKqFE/tOr4G49y+To4CbiYcXr32XJPxLLJdQcMXHNJqjpmZs//+OE/ZRQkLHeTgioE8meT5bR8t9XNH0C+Lw9mCwOzJbJhYL3VsjET33czOVR4hjcQ/iL49/PflMC5syiFhGVUcT3c+kDP2X5n8XfMJ8f67ouJYvlCc5jV0O2p1F7zF0408qQTOrfX6tDGEhAbpJoeywiBmEqJxNkx9KOg+NjrHjkdlY8cjvBcb2zIxjwGfqv/MudrHjkdnpW6iUJ/CODrHlKjbCaLBMz3zqyVdbK1PJayhao4tXug8S7v/SuiSPmtjLx3i36qXh3z/w0n/qtRZQX3UJ98VbjAK8TOvJg3EV90Vbqi7bittXryD7sP3hdNyT1aPWZtGfkUPvNa5FzxHvJU1ptPEbYqNMy71ojzMtDnqhR1zH8RxRlEoKVnYQ/Ju0yxTYfu1yOzVKGoowb+i9vF4zphkgdYJKsbPrXkyx/8BaG+j8HIDjix4w+IusfNZYHRLDii7NZ8ukxLFl0Niv+fDubF//e0Gcybec9DUmjLokkkkgiBgUlYQ22nLBX1SS82dMX3g95wmCTrdmY4xAQtW59mO6Olwzb25r/sl3n4N7PRs3fsw31dbGIjeItrmzGt2WCj7NLTLaabt/A2NbwpKkgQWqKZwhJ0huIU+6eRtH3ypj5iiBRmj7nearr7keWjWQnVbX3RZdjiQQi+9qTYPGY6XyunYZ5H+G/9+tUTvktlkyzQcvLv1lzTWxiMjLYrtYQxYp4gxCzj8A7oIqD+8eM3uHeLULYXjLJuLOmGtpjoWVPDPoTp73FOxZAz+rPmXWKEOm2uXLxe3t3C8V+BKGAGul25e14RGdnYMYdd3svj5E/7XTyD1oACxbRzI9oQKItJsqmTTU0y5qJZHEzhEywsZKlD/4CJRTUGSdOVK09hXGCDOywAbSj0NaWda4XjIv9vMIIn+j6ORGkZ/FYQuNBROpMOJhBkF5GWbbd56YlNtEuh4IBtk5QQ9e3fikbX3sc/7BIgV35mCpZUHLUWZMeN7VsKulhWn0pxgCMaIOanBM7ul1zbExblEPOZfHvrRn7/Z2isu8Zthc5fqFbl81ZmuVs5Fxx/PLfZ1D2G+NzWftmHjM+zsMkW+HEf+rarGXhGts08Z4aat5AZ2M4Zfy1E+BvKlGLP7T7GEuDoVGCip4pOsd9MQCyKS9q8Jkk9dr5g634g114QyuFtuIM9X5q+3gRfeuWiJVPDoI28Z1cv/o6xryqAd276nN1f6ND4h4ZEefh94drQDeE9TeH9X+3nLyzsdmNzsg9GUmjLokkkkgiBjl5Z5GZcxKyOxvcQ9F0Opsrm6kz/0Be4YWYzU68o43RMUpI0Ne3NT9MT5dKTe10iUn5+NgWgoHtm7y597cZ6utiYfaYsFWofZSwPWGvtpBxuh3XYX4Kf5pCwQ9SMDmJavP1vNrFqgvDH8k4RfwAxeVGTTOTbCL36/nIGcJ7bbMX4EmZY+gH4ElRKd1zzysg88Rs3HOEIZx5QjYmec/6BPk6VGMs0Bdg8886CA6G4kYZo9ikEkONj3Ti8/bStipcXH/hXwFwn9dCSJNiuWrR9w276Wv5VN3lJ8IYTs2Pf11joc2q2Pjx/zE21Bq3n8/bC5ndxgYFxrq7sXmK6N70FiO9jcjO3Zd2FJlUIZmoOHFiUfcvGyksRJJMOIpTw8+FMEBbUSUeQowRoJvUuUVIZiu1C36N1ZVLZvl80aFXXLuAJkqghMQzVomReKGPZwzbtBjtaiHoN0YydhSxNXJ9yos0opIj5fBdMrmYCoRsxyCLGGVJwv2N00g//8BPMzJ5+BH33wa2nyJ/tFONgGoFp0fbt8TrHsXAplX0rf2C1o+FwRIcU50bmbVzt+nYZcedR9aMgygOC99HUHJHGlnnu3DvPzmhk3OakdQqAqstj+ycU8jMOQm7Q5VRkaTYKKL2vShR/Vw22Re5SD/BEZdB15JuwlpooeSI03DM0ziUDvyYQOommL6c9t5HGdy8lnXP/YHuNW+rfZ5VI5L+YDu+QAu+QNukv3N7ERuls1nKou8tqzkPX7CDkOIjpAyT5lgY7dfUey3ru86HnC6YujZaLtD60b/0B9hcBsDQYAOb19/FaGcL/tFhWj54Ndpl3fO/o2/tFzS+It7LhCToyBE6tBpEyNJS0g5gb8Oe9UVNIokkktgDYDY7KKu8kYrqX0DaAOW16oTO5a6lMBzJy8pRJ0J+fzfBoDHVo7TyxujyutXX7pbznf6uMZqXe5mH8nuzmPpkOXmXp5D/3RTmrC2i+g9qdEwZV405k1vClDsC5erkKSf/THYG2jo3S4pM2Y+nYC8T6a3WnC+/jmpSxMyXAr1+FL+CnGWl7GdT4o/pzYQxMdlb8drVLH/lOyihcE3d7KVw9/UM1/+W5mWP64aN9jfpInobP/wNoaCP0T41TXOwfek2n3pGyaHhMUuEYHYc+L294DCmAQe8w6x95j7G23vD/Xp2a6TOPywcC1NOvTQhm/KXAZliTKjRdglrlOBjImHyiNGSVj6D/U5/AqszixkLf0fZ3KuoR4kbfYykuFopphJ9JF8hcWQ95Pex+onfsum1J7b9h20nNq69UbdezL2U8TBWhMOim4dYzRwCxJdBWMEUGjmNHh5FppB0zgZUhtHtQdO/VBkIbaQu6FON2vrr7qbihPjOAEUJEQqqkeCZl900aeplBCaLhdKjz8bq0bMt2ooslN6ZHjfbYHthMtspq7wR2ao+X9GIUQLYy2VKbks3ZAzEwupJp/aC78GRb4kNM5dROH8BLHiDgNLG+r8/KLbH7GZajnBC+oJtLG8/iOXtu96Y8QX1hmJN9j+iy7I5H3+wPWr4pdqPiLYNjr+nj/BZjVkQsRhbYWL1k79l+Z9v1m/vEdd5pHUTvuFeWFcNm1TjmoCFjKxj1fOy7jiB11eFpFGXRBJJJJEAbs8MZu//BqnpB8dtz8g6mtJKUSfTuvVh/D5j+opszSI7TxhHo8Or8I5uNPTZFah8WB9ZyTonPttbhOUxAslmYr/3DqLqAy+huy/DfNedzPg0nznrdrzWZ9b+/2bOAW/HbbNmWcPnsXs1kXYEtuL4NWTWHCuZx2dT9/xs8i+LE7VrMOp5AlQffpNuXbarBozf26sT+wZR37T6zR9G17UkFpOhdK5e0mHtOz+na+Obum0RbbLq8y6j7ls/wWyLoWfvy4iSDsi70aiLTNYNBAhfMqaznll0MIcRZtFDGqdGUw3jpRw2hGfDEUKQWLKVCCpPutiwraPhPzS/J1Lj0jiZ6TQxjcUABImfFgvQueR9AAY2qqLLXlbQgETDG8fQ/N7Lk/7OWNicok7IlVEVPkj8yasUM/tfSiabuVwcO9zmZZWuj0weqRyHhRxG+JgOjMyh2wptpE67DJBePSvumJHWJr64TzB4Fsw7/ithVt0WaNPVfTHfDS0tv2ze/pqu2Q+fy9SPrMz+0Y/Jmf01JPPENdYWSTB8jvgSR2N3Fk19+qwPiylDs5yGgo8V7YLkRDbnMqewUdNbRJZTbPNxpdWpmz+YB/8SRlhUi9MnE3h9f3jx1Kg8hT2OxuXyP98G/TEOpbYCSit/itUq+lv3MuZL2I1GnSRJN0mS1CJJ0pLwv4WathslSdogSdJaSZKOnWg/SSSRRBJfJcyWiamwHU4RwenpepX1q/+frq2k4gZkOR2TSTVgNm24hTFvM0MDi3fpeaYebce1nzCYDFIFGlhjjDpL/jjr1l5NZ/djIAcI0oM134zJsf1e6dpZj1NedRMWiweTOb6BFDEqY43LPQFV98Sv8Yucq73AgZwhDCE5x0rBZWG5g08PNIypnPd93Fn6/WlZFQPjQwYB6K5Gvabf9IW/2+ZzN5n113O4ew1bGv5EKOiPrg91LBN1etlTsadlMu3c67A4Y6j5O3MhJO3mSJ2YoMcjQPgyYcKGCTsmnFjIQKYQPy0oKHTyh7hjFJSowScniERZXGptjqe4Krrc0fBOdNlGKU5Eem03ekFlLVr+q6aPRRgaWyKpoCtm0NHwn7gCyWOsY4h3w+fsp4sH6OFJFBSmHHojJfXfpuzQS0Tn/jQYt0JLAXWsie5jqHMlrqGjdPvt7n8GetXJ8CplFqypAb+IyisjNvobV2LtmQ3vHUqz10jLHw/9jStp/UgvD9K94uPocsQRUH3mldFttRf+kLLj9FpvY70qK6nFEb+2bU9Acfn1FJVejctdZ3AGFqfdTGHqTyhM/Qme0DEEAoMJ9hIfZouMqygHc5jB3OqZ+FkObEhFQqZjSL3nB8b+s13HnHD/wV78QRHdnprzMuUZ9+lSxkOKnhBHNmVhkqxYzfrnqyLzASpOuIiUsqmwbIaopVtVhyt1qki3DUlCjuc/R4gIXPietKdvu2Ec8vmYMu3XlFTcgEVOm3zAHobdHam7R1GU2eF/rwFIklQLnAPUAccBf5BiK/GTSCKJJPYS2O3qh8fv69S1ZeeeCoiIXgTekXWsXHI261btWsFXySQx9aUc6rcWCamCBDDZzZhc6ivX3yQzPPgFfb3vJByzrXA4K8nImpgG31XnRs624qxyTtjvq4At307a/AzcszzknK16d7WGcMpcYYhU3FwV1deT4lzutMIDDJpnvpFO0otE1NenidRVHGysXZxz+hO7xLCKpH2ufefnDLQtRnZkRCdUtrQsUkriMOZ15ujIV3Y1fMMDmCxWY6TwK4aVQkKM4qMJBaPMBECQ/mhqZqJInZaIpPrMK7BnTJzGNc56FOJHZbWGSaQW0UqBThN8sGlN7DBWUsM6Dgegg/9jC1fSxPmM8DE2Vw7ZFUez0Xpa+ATs8PIp8OEhmMfU+37duzcz8q+Ye/CNBVF23HE2QmsOvL4Q3jsMgJEXc2h8+WFGH6uDhrnw6rbV1TW+/DBt4Xo42SWia77Bvmi0xT88gMXpwVOspkE7MnPJnDaX1PLauPuMe2/vIbBYUsgtOBfZmoNvXP/dsJjSyPN8h3T5FDavv4OmDbft+hM4+MPo4poTupDNej2+Dd0XbFemwERY2qbWVrusc8hwnqZrT3eeqFuPaNfluC/VjKvHbPJgdadSsv8F8KbKOD3yCxEzys74uv7A/97+mJF/uB+bLT/67d7b8FWkX54CPK0oyriiKJuADcDeV42YRBJJJAGYLfG9weVVt0aXna6aKGGKFqHQzpEfRMTNt/fjO+eNOK/cMJ21yzNjp85pMjjKncx8qR5rzp6XfglQeWcNNQ9MBw3ZgZypRthshXbqPzwY96wU5EwrKQelYStNTGZTu+DX5KZeDvdcBx05VBx8HWbZhd/bG43UuTKM9XqxkbdtQf1Zz1I9X8+kNz7coYvk+Eb0+mqOOKlJBM1YbLsnbW24ZSOdi98lFPDtcbI5kcjbCip021M4nvIwachSMvDTggmXrh5vIoz1qpP2iJESi4G2JTTcc72OKASE4R1BJFqlEIKnVNbCDf/4M0tRJ+UB+tXj4ddpz2lTPb1x2CkjDKl9zR9rNlrEv+f0LJIrqISxcER+mUiHDHbFPNdbS1j8xMU03HM9GyMEFTEYadfT/WvlBVo/FtFr33B/wnTdKadeSv11dxu229L2fI2xQGCA8bEtDA8tN7RtbhSMq2Pepp07SMxjVnrM2dQ/ezZTHhP3luIHX9BYQ7q4pdSwbXvQNfwYDc3FMIl4vUOu0a2bTSJ7wKoxNEvTfxldDvTGiQNtLKfrX03we42ztF9E2vpHF4FNU0u8X4NhePGRZwCw6vFf4+2JI/Ozl2B3G3VXS5K0TJKkRyRJisTrCwHtE9wc3pZEEkkksVeibvbT0eWUtIOoqL6D9MwjdX2mTDOKn37xyRH4xuOIGG8DRkfWRsXNA3FEUyfDjL/vh6NGhl/cpD/Pml/FH/A/huCQSrYgWRJ/KjWMprQAACAASURBVOVsK4EY/ghHWrl+w0ZhtOXI3wUgFPLT1fhvvP1NmCz2qM5cBBUHXbfD5+3O1kctvANbWPbypQl6Q+7cw8mZfah+o2LCkVK5w+eg25Wi0Pbpm/iGhKHRtSy+7tuegNjIWxlPUMW/KedvurZO/g8LuYaaMy1qL7yB2gt+YNjuHxFkSp1L3sfb3U4hQoy++S2RZtm7dglrnvkd3Ss/Zf2Lf2KkrQlbqrg/2lY/zyYuoJsHhb6ZBoFAD53cj5cVDKDW2flp07Fd+hHvm0QyCmvfEU6BjR+pRlLm6FUUtcYwdAbDz0SbWmNayJ1x96l0icl13/r4xD99677QrVeccCGZ00VKc/snb9C79gv8wwOTputOv/inE7bvifCOrAegp/NVQ9vQYLjmMriTAvUxNlXkOqYcbkvYJ4Ixv0rcNN4UoP2PQ3HTfeOhbeh+3frM/MQ1e9NyFpHmOJ663Hej2yRNCoRDVp2ivS/GkW1ZGa61W6+Jznbmgn0cirbAjOXgGaTklONA9huGu3LUjJu2mDTgvQk7ZdRJkvSmJEkr4vw7BXgAqARmA21AZEYT7y0Y9w6RJOnbkiR9LknS511du08/I4kkkkhiZ2B3lGCzi/qqguLLSM883BCFkOV0snNPM4xdufS87T5ewD/I6mXfiq57RzcQChk/VBPBmmcj71e9kKIydtpshVjkr7bOaU9B/sXi71lyQ8WE/azZVgK9gegk155SRMVBevbJyOQ/2GUiMBRACbNe9m75ry4dEsCVWUN6cXxinm2BJEkUzjyf3JqTsXsK8Xt7CPjUv3HB9HP0/U1mio84jdJj9KlLG1780w6fQwRB3xgjrZto/eA1Vj3xG8Z6Owh4hTGRXrNtcg1fJmIFyd3MI4UFWEgztPmYmPDIkZmHI0sYPMWHq6lc/uEBQgE/W995kVWP/woPgulvvEs4Zjo+f5uR1k1sXvR0NK1yfKAHgMFlrfT2vQKBOJGKYTdbuZo1HEQTKjOkjxaCaAhHYolgDtBr04UCXnyjejZGd9+pNH/6tG4bjZWCVGetGmXJGL4Ci3PiOjYtM2UEUZKLyLrVTuE8ldZ+02uP4+1um9Sos6VmkDNHpIGWHXvuhH33FFROFREoWTZGFSM6qLK8c4QdZceeg6d4SvT6RSKe2vdOSof4njjlmbqxazrV1Mg1Z3TScvsAgU5jZkhIGWNw7D0CIXEfB0J90To6gFT7UcjmxJFTp3UalZl/wi6r71uPbR4u6/7U5r6h69v5UByHxKgTRh1gj0mbTusBkwKWIHXn/ZzsigW4PNPF77dYmHLaZaSW1+LUGHWJnA97A3bKqFMU5WhFUabH+feSoigdiqIEFZEX9GfUFMtmoFizmyIgrqiOoih/UhRlrqIoc7Oz9y5V9ySSSOJ/CylpwrMsT8CY5XQbiTjMpu2vXVr6+XG69fWrr9vuuov+3vfYtOEmcQ7hyUNx+f+bYMT/Fmz5Nuo/PJjsU3Mn7CdnWYVbclT8HWsX/Ba7R8+QGRoTKXc9r3Wx9NjPdG3WcJSu7rj/A8CTU8fOIq/mZIpmnm9gsKw58jbyp50ed0zW9AN1KWyjHVujUaUdxdI//oy1z/4eELphK/96F4Ob1wJQsfCCndr37oBMQcL12DaYWD9Si5w5hzHtPPFs+Yb7dUyOFqUAOieZ31RomAAf/RY8cb6xT1g4OYQ+quOnRZd+GWHujPxfXfqoYVfLX71St775szikMUtnw0unQlA1MJf/+WYCGn04W74xPXXJ/TcatgW8I5gsVva79rfRe1B2eQz9tNpziVB8+KnUX3f3NmvTfdXwpMzBbHYTiCOHI8siwS24nUQpsXAXlFN95pXRiK/sNhKAZPguBCDVcQz1RVujWnFaOYGIMefvNKYQf9FSxfru81jaOhNFUVjaqjcOY2v2tgVmk5upOX/XRel0ePrrpJwQdma2FMEfr4AxB1RuUPvc8Jsoo6/dIaRGPKn1cNDH1F56Nall05hy6qVIZjM2DaHK+EB8+Y49HbuT/VL7VTsNWBFefhk4R5IkmyRJ5UAV8Gns+CSSSCKJvQnFpd+lbvbfsFoTT9Ays0+guvZ+KmvUNCW/v5uGj+bRvPl+goFhGj6ap/sXm+oSDMYncOjreSPu9kTYtP6W6LLdLj52ZvOeR16ypyOit1dW9xOmHX2XIUKrKAqdz+prNGaf+mh0WXaIiZvdU0DtsXdTUHf2Ljs3yaQ3PLaFeGXWFWotqG+4f4KekyPC1hi3TVFYcuynNP547U4dY1fChJqOVsty3boJG0WoKdQWti96EomStPz3NZ3+2or/+y00ViUaJnDiK5DRo673hf+Os5bAaX8Xy28eDY3GqHI3jzDE21gpDa//kV6e1jB4Jq5+yao4JmFbFMGYqGFIjeLIqUbmYCUY1L3TFEVJWGM57fzv63cdJ8q3L0C2ZhsYMP2+bsa8mwHw+bt3CWmJ7E5Fssg6gqKaf4jvldRdQG3um+R7rgHAJKl9QiEvoXH1b9bxsIiUBUPDbOy5El9AH5dZ3GLUaZTYObbj7mdH6HxkCH+XeKdYZwyDSaH4V3HYqd3DZF6muVd6M5h9gCrvUlB8KbWznowaeRFM+4aaYbHikd1ATvMlYHfW1P1KkqTlkiQtA44ArgNQFGUl8CywCvgXcJWiKInf/EkkkUQSewEkkwW7o2ziPpKEJ3UOqemHYXfoi9A7Wp9kyWdG5siBvvcZDdddAHG18CJIZPABDA8tR1HUD10opHq9y6tuIjvvTFye+CxySSRGRO7ANJKGM11fSxfyh2h7xEhAYDI7cKSKCYXW0HKkFOmYE3cWg+36WiXZPjlFt8Xuihogox2JBbgnw0R1N+k1cwiNBAkOBen/z57lEa/hfQq4FQfTDW1uDokuV/Gv7dqvxSEmn+P9XVHx9Sg+NkpiRHHyS2AOQUqcaE1WN+SHRZ37MgSDZaSJywAY5HUAfGyOtm3iG/QixMxlCimeLVLvSvfXR+g82bGZBSK1V4egGcx6Yyv3wMPImn4QxQdpUsuLt6hDNBG3iaJvjqx8rCnq81F41JEJ++7NkK1Z9Pe+y7pV32N8rIXWrQ+xbtV31Q5KkIG+DxPvYBuRNf1ACg4+Vmc82ytFFMvfFsQh1xAhoy9KvRE2l0BvOkPjHzO2QU3v731hlNEVPkZ8S+nz/pOukSeZHOr7wLvGT6B/+4zUzf+vj62/GKDxcuHc8G+VARO2OHINmQfUUny9arClrbwJ/2aV7EqSzDic5YZxZpuDkiPPVM84tGvYP79M7DajTlGUCxRFmaEoykxFUU5WFKVN03a7oiiViqLUKIry+u46hySSSCKJPRGSJFE3+6lt6tu49kesXnZRtGZOa9TVznpC1zeRwTc6vJa1Ky6nrfnRuO02ewEl5dcjSdueUpaEQETuwNflM7Q13bKBtoeNhlGg3493QExyg4ExQ/uuQvYUfZpubOQuEaZ+43sAbHnruR0+dsCbmNyh/Lhz8XWq12tbiRe+DLj5GvnEJ9ywok4EncQXv04E7UTaFyOkHYE9I06KWmW4dq96nbEtrx2sxvsOIJsrdOvp6JkrBxGskmZc5FQdT/1Zz5KWX6/rE5u+O+3oO8mrOZn6s54lpypc8xY0G87B4nZSeszZONLCZC4zl8KZL0Tbtb8/0bUAcc3KjlVZPhVX4r57MywW4WwZGviMFV+cRVvzI1HGS0/KfgA0rr2B8bG4lUrbjJSSavLm6g1jc6qEySHha9fHVmRzLpzzDHzjKTb0XMjq4/SyC6uP72R8WJDujPpXkAjlGfcBkGoXx1UUhVXHdLD+3B3jyRj5TNxrjrNWIFszkSQL6afopVE803Ixu01kPvE2AP0PZrJy/rYRkqXXqM91ywdG8po9HV+FpEESSSSRRBJATd0D29zX7+/GO9rIulUiPaZm+oM4nBXMPuBNyirFJDSRUbd1s/iwtjU/Qlf7i6xZftlOnnkSEZhThaHUfG8T/l795LbvrZ54Q/B3+WDQA3+6DKlv94l8F8/+FjNP+hP7nfEUc05/YvIBYcgaQfLA2I4x7y178OcAFM0/hTnXqHTks6++E8lkpvm+pui23kXdscP3SMjkMItu5rBjUiS5cwUpSsv7r8RtD57/IBXfXsCca+4yHruun+lX6dk05+RsZpYUc+3eOhLeOVyXVilTTDlPU8XErH4Wm4dZJz8U1Va0WD1MP/53ADhSS3Cmq+mdFqtH1AKGzORMOw4KWkAW97+iCEeFJJmYc/UvmXnEMxTySzjrWQBdTWFkufqsq6LbAvTRgEQDEgFHOMJYvEUld9nHMJG0R2GpGj1d8cWZNK75ER2tT7Nu1fd22bFDXoXOh4ZZdmAbDcXN9L48ysiS8LtsMBUuVKUobOWqY2isTfztRn2C1XJazr+ZlqPeY1NzXiXDeRqzC9bg6J/PquM78K4QzsnR5dtO7KWEjE6f0aPvwmQSxlz5vfp3qJwXjjbO0ZPlbLom/vtYC4vdRVqVMOw6Pn+Hzi/e3+bz3BOQNOqSSCKJJL4iWG1xNMKi0L+e/b5uNq2/KbrucAqafLPZicsjyDV8cYw672gjw4NqGt6WTb9mZHglAGkZ86mZvvMsh//L0E7INt+1kba/NMeNPFXfX0fWaSIS4+vykbLhGhhxw4qZhr678txkexqSybxduneSSa2TGm7ZNEHP+NDWPjky8zBZrNReeAPlCy/ALIs6tcFP1Yl9080b9qho3USwkIlpB+uDQj69MRiZPAJQvRa/eRMbXcdjsshwxvNRIyibq6jhQ2zWfKacJhwyMy77OSYcWMgEk+ZdsWwWLJmDWckgG2EoyeQgYcLD0ZP/PlsKVYf9lOI5F2NPKcLmzqVkv8uYcuiPdf1ya04Cn/hb+ocGyKs9BWdNBqT1MTK8jpFeQVZhkq3IpiwR5QynkG587THWPH0vzV88w9Cw0AyzpqRH9z2CKnuxMeMoOOJtWPgaffx90vPfGzHRvS/H1Gj3971H8+b7GBr4jGBwcuKY7YG/VUTrNl3Vy5qTNJG59dVYcsV7LvMMte56vF0cPxASKdRWSyEOWU3ZjRCcmE0uRpb48K7w0/easUSgf5EXX1uQnudGCHmN1yLQrU+DlLIHQAK/T5yjZJYouUNNLZezxfvLkqLPTOj9hzi2d7Wf4c8SO2bKFqgMweODe1Z6+GRIGnVJJJFEEl8R4tFYW61i4l817R4dG6VvvBPvqMqCZzarKSeRD3/kI6fFqqWJWQYzso7B7THWDiWxYxh4v4/WP29lqGGQ0Lh+IuKe4Sb/m4I229/pY/BdMcHYlTV0uxKZdYKwOhTYfnKKjs/eji47skXEyJGZR8YEMgYDH+4cKcvegKwZeqmKyhNV6QGOeEffuWQrFInIVD4/xxYmOkktm0b9dXdj1TAYVp32bcOxBtavNKRcSpio5B/q+XB53POU7ankTDku6rDIrjzGQLKjdRLk1h9O4YxzmXbMLZgzJAZaP2XNW3oj0EoRuETUN+QbZ6RtMx3/+YSO4fsBCdmlMmWG0Ez8JWD2UnB66eHhuOe7tyM7T0jdxJMukOXEkfymDbcmbNseyDmTv4MCHQrppzgIjalG13irXlrALKXonFwmjc6cP5zeGY0AhhEaU2i8pIflB7TRdH0frb81ptj62vSpoaYK4bw0W9SMguwL3JTfJ66VtTiO5IcGqxZ0sPb0xOmfZqtKkJRZu/+E+9rTsGd+TZJIIokk/gcQW+OUknogM+pfpP7gD0lJ21+na7dp/c+iy06XnuI5wlrZsuWP23V8i5w+eackJsXstw7QrQcHAyw98XMASn9cSf2HByNZTMgZMpj19XcdT7WxJ6Lo0JMA8I9sfx1TxLudVjULOYFumZwlk3miGoUIDu6bzIZaOHMKo3pYc675FUCUZh6Hasg0xMj5Tsa0mVJSTeXJF+u2BbwjWMgRu0aNBqdxCvUo1KNQyuTvi6B/nIZ7rqfhnut12xVFwWSxkrPffFz5KulT0Bdf1FymUBC+xKIvHZwjfGGWaUCin1cmTLNsQGIVsyc9770JnpTZ1B/8IWkZh0W31R/8IfUHf4gkmdnvoA/ijuvvfZeGj+bR1/N23PaJsJXrovfZzIYCrCUTG0IAppwB7BWa9Mufngevq3W7UYPu5ZPg4I8IDIRoKG6mobiZkWXinac16hqKm2m6Th8J87XoDbils1pZc6LeWRksFDpyTleNbnvGaU7qtxZhdqmmTf3WIuq3FmGvEue98iiViVhRFFbdsIiG4mb6mxfH/c3O7Fgpkz0bSaMuiSSSSOIrxNQZDzN9vxeomnYv5dW36NokyWSou5MkK1XT7iYRItTXoyPrWfzJERMe25Oy5wlA740wO/QTosBggNBImHo7W/VWS2YJgtD+V/2kdU9MPYwIQje/+xKtH/5ru5jgIoZcuYbkQgslEMLf48eabaXi9moAmm7dgK9zx2rV9iZUnf5tqs+6EpNFTDJrvn4NVWd/BxKXVSFtw1TNZNGnhG55+3nMg3lM4TVK+H3cMQHvMIvvu4Gx3sQkEv4h1aj39nSw+L4bCHhHCI6PEQr4okLW8RAKqYa6jFC5cu0Xk7rangduVaOtndvZysT1Yl6W4iUxOcfeiqKy75GSdhA1dXpje6KaO4C25r9O2B4PnQhdzCDCCPdtMZLQu+ZakTWs/4HMRtJPd8B5mvrcW35hGGd77kcAjG9W//6D74o6y9Cw/l3X94o+HVNRoP8NLw3FzfS8OEqgV33v1L6RS9YlVjhLEDiVTzEeOxHG1otzGVunnpN3jR/v08JB2vi4SgqlhIK4Z2SQPW/vcx4kjbokkkgiia8QLvc0bLZ8UtL2x2IxCu66U/Qse8Xl12KRjdT0lnCaTsDfB8DqZRehhNRJckGxnhylqPSanT73JOJjZJU6SZVzJq+/Cg7seVEq7USy7ZNF9K1fGl2Pp1/nHx5EUUIoisJI+1asKemY5Pi/3d/jBwXkbBtp89X0spXnLSU4Eojp68PXse8YexaHG0/RlOi67EohpbCacp6J29+xjVEpV0GpYdvG158gleMxEV9/csNLj6AEA6z8q0rMoigKo53N+Ab7UJQQo10q4+Kqx+5CCQZoWvQ0ox2CvVWOMepcGarm3vhQK0G/qLsyYcVCLtZ5MZHpgTRwh6N7Xjsjo+p9ZkNEYhzMpBpNNMonszrwtUSXYq+FySRTNe1u3CnGOtu8wgvJyf86ZrPHIJ1jtnjwjm7coWNGoqJTHhfR4MyvO8m/TnyHPAfaqH1bU9MXkBgPrYWr7zfsZ1rOa9FlKZx22fO8WvMX6No2p5DiV2i8WBCaNH1XH8WzV1nI+cEQmEO4PbMwW+Jo1CVA1VPGaPfqBZ2ghM2gP1zF2NZxgkMhBtq/YLhvGV1bXtkl+oBfJpJGXRJJJJHEXoTYwvkISisEM148spTSyh+TlXNSdL2o7HvkFsSPoiSxY8j9Rn50uecV9W8gZyU26lIPFemv8eQQ9jRseu1xAPobV7L8z7cwuFkVDfePDLLszzfR9tG/6Vr6AUNb1xMcTyzVEPm91mwrkkk1HkMjQZYc85mu77KTGlh+WvzUqH0JGZxNNe/qttWjUMsXCUboESGg0WIiWQmAkbYmw7buFR+z+sm7Wf7wrbR/8iabXnvM0EcJBVn/9wcBDJG6olkXRpdXLfo+S1++NLpupZA++TG47h5yv6mRb+gIL79yErx6YnTzdNaEr8FSPGiyDl46FWXRvAl/276GwpLvUFz2PWYf8G/qZv9N1zY8uJhVS8/HO9KYYHRi+MJGXerhduq3FlH2mwycdeKd5ZwhY7Gp95WppoVAyOjQ2S9vC07rDMP2rr/ET8V1zpTjbgcYWJT4vSGZpej3rbDkioT94iHla3Y8hxqfES1Wzuti6exWQkH1fewf27tqfZNGXRJJJJHEHo6Zc19Ftor6GJMp/ocpYuxtXCfkDdyeWZq2LGRrFjV1D1Bd+zty8s7ezWf8v4fCK0qp+//snXeYJGX1tu/q3D055xw3h1nCkkFABRFUQFAJ+omAKKgEBQxIEAVBARHFHECiwk9MIBJlAXc2h9mdsLOTdnKe6ZlO9f1R3VVd3dUTdmd3Z3bf+7r2oup93wqTmjp1znmep/RZldyrCrAk6PsmV/xjjbodt1gpU+x+en721RWc9jHdfu2Pvkbj/yliFWOdSqam+V9/YsvjdwCw771XaH1NUSgM+GIHqt5gUGfNMA54N5+3nsBkAE+nlqHzj0WXhx1pJHAKedy738evuOYuKi+8FnuK8lkR8ARL3nw+9vzjj0wMKL1J3RvfZPdzP9Udu/nn32HrL++i5d9aGVrHOr3BeigrN9xcp45ZnPqeyfj0KkqO/4q6Lwd8arbOitaf1BUf5gU47oKxsGziQDJLqKP5/UepffZitvw1TNClKegVOGbcq3m0sGJNtMWzO+htNx0eNO/MyP5FGZnGD7rg1TNIOlf/2WU6dhOdw8FS3pfOhTXKC5gNJe1MNHqRfTK1BW1qqWMs5Mg/5amrS3WEbHtivdyc+sLKfzI+G/t3R/aAp08LRr1uoX4pEAgEgjnEak2heunPyci+kIQE43IsWzDo80x2EAh4dBk7m1X5H2B84goSkmqm7dEQzB7JIuEojDDBXZ0Ytc6SpL2ljluilDn1/b2HgGf+lfnYU2ILdEz0d9G/axN9O/5nOG+yOmIeGzIetwVLU0vvrtTN+/q8jGwcZu/3tcyDdwFkM+eCLG5EwkZBjD64qbA440goqFDVMEOKkoON2+iv28Du536Gb2Kc1tdfYKS1QXesb3wEz8jAlOf3GhiFG/2OJGbpywf79oa8vsJ6T63ag3/yJ31Y379Am3v9NPz9Zvr2KplL78QA7dueIr/rCajVXoocrF5UPyN08zAy8/dFgsWaRF7hF3VjvkA/3TyCzNSfJS18Sd320s4o6wjgCe4HA77KetzBLHHGA03wnTsYcP+L4ck3ASirfJDUz2rfn+2ndTH8VuwsWzju7V5KfpKqipdkfCaOzM/Hk3KeM+YxOTcqv8seNaibWjxoKpJOsxO3KnYFRcc1WTCqlHZ6RFAnEAgEgrnGZs+isORrUYqZIcKVLL2eHrwezZTYas886PcnUEg+XesRi5WJChFXrfWENH69boqVhwdHqlIWl1SyOGquv26DYWleiMwVJ8ac8/Z6kGySatyecka0tYfsCajzAJ7eoyOok7CymkkyuW76xTGwJ6WStvgYvONKb2fo5+QdHaT+eb0IhyurYL+vU3ru5YaWHGZrZK+TEnxFCb4s26KcJ/sR4uyrtXGfNcoSoXPnn2l78wXdWE/Ty/t349OwhXxauYEOZi7EcTjIzvsMqRkfVvdbPV+lletVEZRYWND+XzHMq+ziBNq5BYDdnKHO+VGC+MKLTyH+o/0EZK1X2O9sJ6v0o7rzNlw+tbl30X3KdZPOdJB6vov0S4O/J2Yo+E4yCWu1KpTVzXnq9spdueR+RQnqvJ5uLNYUTKbYJZyxSL1AyQY7yq1k/r8psnXtafBtxS5CZOoEAoFAcMiRJO0t+LaNFyHLHnLyP8/KY14xFGARHBxK76xEsiv/a52qnw7AHK8FLcPvzd464GBjT0xl1Ze+T/kFn59+cQQ5az8Yc67riQ5kj6zLGK9+83gyPq71WXl7PZhd2u/00ZKpmyus8Ul4R4eiSijHu9t0+5EltpGkVK5k5RfvMZwz2YxLwSMrAVo3/hq/dxwr2brxFR94jlVf/gGSJDHY/p5y387YvmyRjPYfHAXMAIpJ+ihvHpTzzyXFZbex8phgcNuqSFW2cSPDxLY5MOFEwoGDJYzwbwDGeJdefsUkWgbXoyvN1P9Mm7kCa9b0NgjhpF8ax4otuZT9SnmJY05UPif7J1+gr+cfWLO180lmiVWNeazckYvZpYUqHk/P/pVeAumfjGPV7lzshRbM8cGvZ3Utkss4s2m+80Hi5ZP361qHCxHUCQQCwRFCZDmOLHtnpRAmOHAks8SSP6yg+NvlmGzG/4td/IfllH6vUt2ez4QULMvO/39krjR+wHFl5rPsKi2rUfXJ63UP9i0P7mF4vRK0RqpbhpAsEvlfLlazdi0/3EPvi91YUpQ38s13NTD49ty9NQ9M+On9W/e8tJOYC0Lm5PvefRlLDK/Ayouu03nMaePa54h/0o3ZrpXFLb786+p2YpHeJ2wqOrY/Q6b7G+TzIwp4lAyuwyIlY7JY8U5oLzQc8TlTnEUhobgUAJPz4DzCxqP8nruY/5YvkmTGbAn7+QZ/nffy2ZjHeGjDQSU2tGzYGO+xF/3Lm9amh6hddwJ9PRH9e+nBEsgMM6kXRiur5n87iWXv5+CosrDs/WwWvZxJ6ePK37UlxaSKI6V9wkXObTb85/6W5oa7sKTof54mm4Q5QT/m9fRi28+gDrTfmcTTHaTdMAAXPkf532RspcCZr+jW+gdh4C/zT5l4KkRQJxAIBEcI6Vnn6/ZT088+THdydGPPd5D2odgPHs6yOFJOS1O3Q/jd87eHJ7l0CVlrTjOcyzv5PGzxSdR89UFqvvog8bnF6txEq5ue5zqpv34HoClfmhzRjx8muym6v27Aq2433rIr8pD9ZuC1fvbe04i7fnz6xQsQc5hqoRyIDlwXfeZGEvLLkCSJ8mAPHsCqL/+AhPxystYoZXg5x+k/Q5xpWSQUVJBavdqw9DJEeumZuFI164bu+r/T9NbDZPEVMvmizjuv4e3vawea9NmfRWd+n0icySXgcONxd0fNzQWhskMv81PAaEo8QeVKVsdc4qUdK3mKIXwsfGYCXUrA1txwF5lxYWI1dk3AqORH+syqrdBM1lUJ2HLMLPl3NrYcC65FNlI+HN0vJ1kkki8fApvyN+6oUF7gmBJi93x7DyBTp7u2ScL50RZwTOIqSGXJfzLhnGjxGZN9YfWfi6BOIBAIjhDMZu2NrcnkgUwoKwAAIABJREFUwOkqOYx3I5gpRbcqmYfWH+05zHcyNbaEFGq++iBl5/8//fgUBtR7vqsX5AiVUZY/sGjubzCMumu2UXvCOmpPWMfQu9ECICGj8yPV8DwkkgLgnxjDmak9wCeVLsGVEbZfXK0G5CaL8mCdf/JHlAA9L/ozpPLCayn58GemvH5RzRdY9IHvsewjWg+fe6iFlg2/ilrrGesOHnM1UkSZnyullJqLnqHmomfUMYejECacjDQ3UvvsxYz27Z7yXmZDLRJulF4/T4Qy5HTsYAWd3D9n9zIdTVxCLUoJd271lcpgMKiT0ISKNmCjCU3x2EM7NvIIYPxCo4CH1fOo1+q6BiSlTDFROhuQkFGCMWe11t+27L/TZ1pD1I2dzc4tV6j7liQTNa35rNphHGwGApP4fIMHlKkLx+vuRzJZMdviMZmNS+Wzr19YrQsiqBMIBIIjhPCSt+pl0Q9PgnlK8OcW8rdre3Qvjd9QhFMC3gDtj+3FNzx/yoCSShbrAruQ1P3IxiFqT1hH60PNyD4lOzS+Q5MHH9k4rClfTiMiE2LZizXYcsOyTr4Aw+8N0v/v3pjHDLzex9gWTdSh/+Xotd7gfYT+e6SRUFBBXE6xuh9eOjs5GPt7F4uln72NxZfdNOvjrI5k3X5P47/wefT+ZQlZisdZWonmRReXVkXlqd82PKfFrBfW6W95e9b3ZYQPvSfZGO/EDHwiCTCBmy2MY6wGezAY4GnAj4zMmC3ocRgMxgZ4CpkAMjIyXgZ4Fg/tBPDgowsr+Xho1p9wZzWsW0vixMejgjq6siGrCzK7cHEMIOOlE4CKp9IpeTSV6pdmJ8g1tsXYxy4WIfGv/c3UybLMvp1/xj3UStuWJ5gYacfmTNX3gN5+N0W/C+BcZKX4oZQFpxQtgjqBQCA4gohPVMpuHM7oXhnB/CT5VK2EaXzXGF1PdDD45gDefi/jO0bp/EMHQ/+dWm7+UCJJEsmlS3CmK2/lzUHBjN3XKSWW3U/vY/CtftxN+gfi3ddtD/Ooi61eV/wdpWwv+4o8bBk2KsKyepOdk9R/dSd7vl2Pp8c4y9Z0W0TmRpLw9nqY3Dep9tCFykAjjd/9Yz7ce46Mksz0Zcer22abg/KPXQUoqpWzxZ6cjjM9d/qFERiVaHZse0rd9nvHmRjZR3z6IiTJRP7KK0jIXEbFKbeTkLlUd1xmxTkAJGYuh8Xbw64xO8GOWLRzc9RYN4/O6FgvHcDss3v7SwDtd99HLxabUqWR6dF6Hsd4Fz+aIuUuTlZLSm3kUczvACjiN9j8ZTCoqFPW77iBxKFPKgclBz934kfA4geblziOBbSv1ZpmJvWjLuJWzOxFDYDf744akwNTv7iamGhV7t2WQcDvYbS3DvdwG7I8MzsYr7uPjm1PsePlG+na9SJD+zbohHlyl15K3mkfIv2MQha/nEXaxxdeP7qxNrZAIBAIFiRVS2bvbyU4vIQblO/87BZ1e8tH1lNyZwUwP9UfF18W/RAcoul245I4b48Hc5IFkz32g3jaBzNI+6D2Nt5R5KT8/moabq5j+8Wb1PGt52+g5p21096nf9jHlo/WApB/QzFZn8zBG7RIiPy+bjpLybQse2E1tkxjdceFQnhZrD0pDVdmHjVfffAw3pFCyIwcYNMLVwKQUnACAM7EfCpP/ZbhcQUrr6RgpbKeJTuUf89eRHf93yhYeYXhMbMhQLjPmgkIEGBsRseGApxIM++DxR4uVbe9tNNneRyk45A8cZiIJ8AofkZ0QaYJl3p/VvJwUEVNUFklwXsm24Ilmp7JDjwdSpBK1S7YoVmalPOS2ot3IF9rc8NdUWOj3i0k2GP3Ajbs/Jpy77YMNv5ZK//Nrr6AvGWfmvaa3onBqLHwoC5n0dRKsAsBkakTCAQCgWCesufb9QBqVmrfb9vo+1fPVIccFvzjsUVe4pZqvZ49f+nSBbEzxeQyflyJFAEJTETfx/gurcyr7aFmAp6AWgYaytRNNLupPWGdus7TNf+C6Nlitmt9Va7MKUQxDjLLP/pLlp370ynXmK3RKopTkc8Duv3JsQMXTbGgPOAvZjurCP3OzEwdNWTa7WEv/Tw1zWro5Af0BTNls2WQFxnkL+p+I59QHAdkE10dT1CNYg/Rxf3sZKW6zsUKPMH7tJGvjvt9Y2zbqPXc6TDJijDKSCLUVbGv7nnkCeXvt4kLkfGykUR2M70o1yR7qUViH3cx2P86ANY0O5Q2AuD2bDc8rq35ETrb/6juBzz6zNxA23vTXhvAMx7tozfb37v5jgjqBAKBQCA4zJTdN7U8fO9fu+n8Qzsdj7fSHCE+Mh8YmsJuIFIUZbJtIsbK2MQvSzQc9w14kWWZ4f8NMrp5OKqcEsDb69XtN9/VgK9fGQtl6vb+oFG3xt00jrtxZlma+YorswCzw0X+qedPv/ggYrUnYnOls+is+wAI+CaR5QCtmzXz+rG++lmd0xkWrADsrX38gO/TQzsOqnGyGBNOLGTPuJwyfF14Fi0W7XyDZq7cr/ts5IKIazfp9i0+xQ9whFfVMRvFeGjTZepA6TPb2xStMApgdgQVK23Bv6mBVMYG6tjX/Hsl1h1KZEB+kQAjjPAKASbp4oGIjKdGO98AoEP+NiaTcu70sg/giFf89SY9rerarn1PM9D3OrLsp2vfn2hv0V4KtG/+k+68ckD/9x0LIyPx8f7591l6IIigTiAQCASCw0zySXpp8JQz9WIQskem/bGWQ3lLs0Kewo3BkmAh6zNaP5YpbvY9UJLFWLDA0+Oh98Vu6m/Yya5rtzP0ttIDVHJHRcxzDbyqvLE3OU1qECj79RmZlh80seOyLVHHLiQkk4mV195N1upTD/etAOBKLiYxawUedz/d9f+ge/dL6lxm5bmzOpfqsXaskqWx2A5cpVCR+tcyWDbyZlxiOJtSRJmDa13i8wxjQS8m4mINXtrx0o6EAzNK/1xf90sM9GnBX1Hprdr2kuuVDW9k/6sMPRmwYwl7+q5RRxv5OG3cRD1nxbiz4NfdWkAg4AYpgN1cRJntaQAmPcr30D3WSFvzQzTtvg2vR1+V4IyrhIgeOimGcmUkHoOgLtSneaQggjqBQCAQCOYRK185hqQTUw73bcwYv9tP813KG+/lf1vDot9EG6rnXVvI4j+uAMCR74ianwnWdOXhcsU/1lD50yUA1H1uKxPNWo/WWJ1SNueqimPVa8eRd21hzPO5FsUTGPPjH/Orap2R+Mfmr3fgQsTqTGV8oJG2zVrpYfExXyS9+LTZnScU1BW1YLI4MFv273cqxCR7g8IimiCRohDZNu2xMjLd/HjG1/KhlYp28oPZ3egUFCz+EgCtex5AQh/o2CnCQztdPIDMhGodMeFu1q2z2rVgMNn6ESxkapm6cNzBLF695is5zN8BGMVYjVSWZVi3FtrDA+d8bJZiAIaaNwLQtvcRdX7rho/rzmEOJDPSo5RpulLKSMpZDfIMS2TdfVidaay84LfqWFrx/HjhMVeIoE4gEAgEgnlA9a+WUf5gNeY4y7SS/1P1sB1KvP0e9v1Ge/C1JFt0FgSLn1ACOUmScJa6KLqtbNpS01hUPbaUkjvKsSRZdYFh9zOd6vbAK0oWzpphw2Q3YQ37PmZfru8rc1Uo6nbbLt7IeJ1xqWXXnzrw9s+svEswPUY9TDbX7CXqzcRjQSkzNNnM9O55dZojpmaAZwEYp1a7L3KZYBvNfJ69XIWXTho4nwnqdMeGK0xaSAf06pSRjPCGuh0qSZwpMlqWagn15HCHuu+yKWXOI8O1usxhPg9iJQ/ZoCxyeGi9ul1aeS+JSceSkX0hRaW3IklmqnmPwny9qEkgMEkKn455j8lcaDg+OBZh7m32YyUHU5hC6tj4doaH3o8+eDQORuKxTharQ+Un3oI9PpvJ0X0EfFP7TcqyTH/L21hscZitLhaddT9lJ94y5TELERHUCQQCgUAwD4hbFE/S8UqGLjwYcVVHS2vPFzXMxm/souuPHeq+JEmY481Yki3k31CMs0T/EJ/+kUxsGfunKmnPc5B6thIAWFJiWyIAmF1Kiac1VVuXd00h8Su0Mr34lcq2byB20Lbv12003b5rv+5XMDOcyftnv1LG8wD4xpWAfGJk337fgxQUg88LMw8fCwqO9PErevklW8hhiP9jO/oe0VA/nYVs8lD600LWAUbMpOcuFj6UcsQCHsFBOVl8VZ1z2qvVbRPKZ0Ym15PFV9WvD1BLLwHc41ovY0raqUiSicKSr5GedR4AdorJMF1BfMIKdZ3X04vZp/W42tD//EL3GM4Eu2FrRAa/aC829Jn0us1XGX/hgykwlIzNqQTNZls8VmcK7mHlhVLLxql9WccHgmIsQ0oJuyu5iOTcNVMesxARQZ1AIBAIBPOMUKYufkUCi369PEq630gQZK7o/GM72z+zafqFwNg2TVly6XOrACWwW/H3Y8j6ZM5BuT8AyTwzU2BLMKjL+HgWoGT7at5ZS807aw3LQI0sEkY3jzDZPkHtCet0CpmC2WOPz9bt11z0jOqxNlus6M/lmxze7/tqCwZHWXxFHVNMtqcnlBUr489qT942SqhFohaJYf4DwF6upZYDM7OOFDoxk0gNMjXImE1O0jKU3sTAuuXgsZLLnQC64Kmcv9LS9AC1606Y8XWrlj6mbns8PXhCvW5SgDj5lIh7jC5ZNQr0yBzARPClT4XeAiU1/Wyql/5C2WnTMuye8T7MVhcrz/81AHEppcHx3pj3XvvsxdS9epvh3BYKqGN6W5SFggjqBAKBQCCYZ5gcZip/uoSyH2hv36t/tYysTymBUvOd9XinyDAdCON1Y0w0uQlMTm3qK/v089b0mZsPzwWFt5Sq23nXFZJ/fXTGx1UeR8WPFpH/5eKoOWdZHKlnp6v7oV7Apc+uIudz+bq1zXdrKnkbz3wP35AoydwfMsrOIn/FgXvKAdgJ/vxPUcoZJ91dB3zO8IxWAQ8brgkFbj38ghHeCrMJyMNMUtT6Ji6kjZvp5We6cSerAGnGwim9/JJ+/qRey/DebFopa77755hJwj/mp/HkLPhfjdLT5nHQ0/W8ui4x+XiWrnp22usvWfkkaZnnEfCPMTwYfLkhm5BG4olDMbo3kchkt5vhoQ0ABHDTxs1MsBMSh3TnW0azul1i+6NuTpIsxCUsIdn5IQgLhMf6G/SG4UsUk3RHwswsOypP+65u30sbY7yLzJHx9yyCOoFAIBAI5iEJKxOxJGoPmXGL4sn9fAGgyPS3PdJ8UK4bygKGDLqNcO8Zx904rhsz2Q7tI0XaOdoDbNancsm6JJfsy/MourVUty7xuGRMduN7K/5WubrtKFXEH+x5DvX7HGJ084i6HRgP0PLDPQd8/0cjkmQiq/JcMss/TMnxX5n+gGnI4VuQrJhKjw3t2K9zxJLgN2HDSkHUeAA3MjItfIHdnBLMTElYycHFqqj1fgbo4oe6sTSuIIOrAFknnDIVe7lKPU+4Smc4trCgzjyZgX/cz65rt4FfhhsegYDEnjcf1R2TmX0xdsfUQZEckDEN5ZCQGG0O3r99EyU8RSJnK5nOxiLqdyiiLd08Shc/ZK/3WhhOIil1LfGZVSRXLdEFpnG2ZfrrITMZ2MNg/TbduGesSxfUSSYzjoQ8xvrrCfg9eCeUwFHZHmRitFN3fHyapoor41O3h4IiLwud2TuACgQCgUAgOCyYHJodwMFSZvR2K6IDnh4P9rzoEkX/mJ8dn958UK49G0w2U1S5ZN41sdUujZDMEs4KF+76cUzWmQelA6/2wV3TrxMYU7Dqs3NynlzuJM52Eg38kp6d/6Fw6TXTHxRBqKSxiN9EzS1H6cGqxUTIiNxPH/vQMj77uAsL2UhYkYCVjLCJqS0WsriFSZTsr4c2rExdqhxA/wLFSpbhOqtNs0LZ2/g99t6ot0bhtdPx/P1cuPV7kK4IvNjs0wvVdD3RQftjLRT/Kt1w3k4RFfyLnoD+e9jOzcrGeqWU1T3axLKav0QejtWmP28goZNtb10JBl/nSNdW3f7EiPLz2/HyTUyOdlJz0TM0rfsRQ/tqdevs8dlIJi3s8aJldgO4Db+uhYbI1AkEAoFAsBCZmZL37E4ZkPEEzbp7nu+k7dG9dD29j+7ntTfekSItlY8uYflLC1d0oOqxpSx7sSZqfNmfV5P/5f0T8RAcOmySlrXql5+fYqWeHh6niwdUoZNYJY0K+j+28KAu8lgz4T2Cxj10NvLUvriZeNxFmqBLGHs9hky9Deeyh+HvQT/Afi3bFV6yGaLryQ56XtCCnqF1itVD133B78OPvoL13ocwmZ3Y37qSvn8oPXOyR8t+BQKTsKsS3NqLIb/fWGXWZAqKJ8nAuBO3eRt0awFdxcm3h602/uCbDGbl6t+8JyqgS8pZzaIz9fYR3gjDeDc76eW37ONew/MvBERQJxAIBALBAiL7CuVhMNIwey4YfndQKdVCyUZ1PdFB20PNtD6glRt6IsoynaVOncrkQsPsMhtaSNiy7WRepIlx5H6hgEW/1xT8AhPzw1biaMdGntqvtcd3yYyPa+Fq2rgJN4rJvHWKoG4RSmY6XB0zHCu5huMZfMlw3ESiGghGBmxGRAZ+A2/0MbZ9JGpdQuIqMnM+aXiOQKemWMmYoo7pdFVgNmtZxdGtI/jdftp+speW+5q09cGPGvcuL/hN0FaAt9dHfNwxTL6wTPWpdHhWqod0dPwC+tNgi/Y3U7nkJ7G/yJR+8JuhP43J17SALi6tioQsrTyz4pRv6g4rWKnP+g53RVcRlBx3A2arFvCOs4lx9GJQO1jM3uHr6aj7XeThCwYR1AkEAoFAsIDIu7qQpJNSDoqtQcNNdTHnht5V3taHyjNDmBOP3E4OyWIibkk8JoeJnCvzcZXHkXGhEujtubNhmqMFhwITibBop7Iz7sI7wx61EK18GVCMsGPhYjk1yCRznuH8EH81HI8jOgMMICEpxt5YDNUiI9GZoPvMNN26m7qrtkWtk0wWCopvIK/wOpBBssVQ2xxKoqjsdhav+B2SpKzx9HjYdfU2Nn3AwCcunL98TN20jGnB7HjDGD6PZt7e1fqkshHQsoquOM2sPJLs6k/A4ui+yOoz7kIK87JLyFyqm08pmF69MjygA9jJKlq4Onrh9Q/D535DILAwX9iIoE4gEAgEggWGNcN2UG0NjPB0KtdrvrtRNx56KDxSqfrZUla+fKy6H1L5HN20/xL6grlDQgJnsCfq5Q/ipWPqA4B29NkeE/GYSYyxWsNBFfGcpu7HxZDDX42XVYyrVgKpXM4qJlmNj9VBpUUJE+CjM+htZ8RO1tDBHTRzmTJwwjtwylu6NSGrjdoT1jHZroi+2GwZ4HYie2TyvlRE3vX6gNXlX0t65rm6MW9f9OdJqBrA7w5Tut2kZePkNi2o23n5FvbU3xHza7Es7o85B5DL3RS4f6sfrIp+yRQK8AKMs5kseu2/MDxf4erPq9sTaJYJg7yonYuwCgMZ2F0FwMaBTGqRmGBheVSKoE4gEAgEggWGLd2Gf8jH4NtTPygZIQdkel7oIjCpfxsd8ExtYTD8v0GdjUH1r5ZR8eNFUxxxZCCZJSSLFrhmXaKIWiQen3y4bkkQQbFT81Hbs8m4RBIUpctazHRyj258qtLLSMp4lhQupZr3qOAfuDiW5RFm4xIWTDiJ5zQKeJRCHsGEDQmzzjYhxADRvYAyXsap1fr3xlxRazp/ry/L3HbRRsbrx5Q+uSZFBdaWZSMg63vZbBP6jNnQugFG1ustBwB8QdsUXVWAW7uPgR9GfN+mqAgvtf/RcHy4ayvjg3uRkJDdEb2CS7YjB0+66Kz7KD/pVnWqh8fx0U2HdEvUOV3pRaSXnknKSXlw1stspwov3ezmDBq5QLe2jBeUjZEwcZsepc+wD+N7nq+IoE4gEAgEggWGf1wJyBpvmf2b5PG6UVrua2LwjQHdeMjCoOjWUpwVyoObFGYFMPhaP11PaQ+vcYviSTz26AtsTDYTrsXxePu8B6WvUTB7UpwfVbcn6r0EAsZqhu18Awh/eaEEEVOVXkZiIZ1SniSOYzGTxCLeizJCDyEhkckXp80CNnFh1JgXvRx/KNAIp/1nLVFjO6/YgsWaDr/5HADWNDP2Gq3/Ln51Ip5OL7Ks/e423FhH+0+jz+XpmsTv9uMb8OosRGIS7NUzIs62wnC8/s272PmKopLpdWsvqbLOXAnmAD4UY3FXcjFJOZplRMgwXscZr8JFz+I5/bdIkgl7ThwkK8HqFrIY4TXdchkvyZxPBa/qv7/dmQCaOfoCQQR1AoFAIBAsMJwlsVXupsPTpQRvnojeuMavKwGiNcPO4t+toOadtax+7TidbUDowS/pxJT9vv6RgCXBzMj/hthw8rtqgC04fJjMeqGblomvR63xM0w3D+nG4lCk9meTqZtLSngy5lyUgEqvsZ2AEc1f1oKj3S1X0Nx3AzxwI4v/nY179xjjO0ZpulX5e+99KXYPYt1VWo+do3gGnznD+uC1au0D6rbJFC2mJMtagO2dGNQFdXaHUrpqpA4qE6OqIE05PhQIztSqIJEzKO9erw0EA7xsvjGj4+cLIqgTCAQCgWCBkfph7a1y+Bt3Iwb+08e2izeqmbhQKVV4SdXgG/2qmbg5PlouPfVs/QNlyXcrotYcVYR9y73dh7a3UWBM9Zlab1qf+wnauU338O+hVd22U0kxvyOVzwDT2RkcPFLQ1Dr75Kdo+M2LTDQrgYgumJGB6x+JeZ7EY5N0++M7xyGrEyxeyOhVx222DPyjykuIwTcHaLxtF3u/p++RjUV4CTJAyR0VmJwm+OiLxF0e7Fl74CYqK35H0upi0pbXEB+j5zCEb1LrS50Y6aC/5W3MtgQqT7sDp7McUERNapHo4/facfToT3TuS6SelakbGuaVafsrc8PMJsM/DzN6vkM17yn9mgsIEdQJBAKBQLDAkCSJ/C8pHmqhh7RYNH1zN5NtEzR9azfuxnFVYGV06whyQIlOGm/VyjhdldElVLZsu27f7DL2yTpqCHvWm2hz4+33Hr57EQAQl1JKyllBs+3BZDq99zPCa/hQsjfhD/hL2UUal6vB3OHK1ElIqvBKc+M3GfpFJvU3bcdHL+6gjUJy482k/1Mz7C7+VjmZn8wh53NayWjxt8upeHix/uRd2bBmvW7IZI7T9cEOvm7ckxu3PNo8Pe2cDMp/WA1A2Q+qSD07nVWvHofpjFrGCp9W1438xU65/UmK45QgNL/oS+QX32B4Hc94n3Yv7f8DwO8ZISFjcVRJbDNXMEkzAONs0M0VuX5CXvJtJPJhdayesxnib4bXzedBkjiXTK7X7iX4uWhJteLvcRHHsYbHzmdEUCcQCAQCwQLEGvRWm8raYHTzcNj2CDsu28xEi5IJGK8bo/N30aVNJlv0o0F82ENe8mmpUfNHG4nHaL2EjbfsYstH1k+xWnCoKHTep2xsqIFXzqKeM9mMEuh5DKwD7Chqhw6qD9k9RpLCx5WNy/8AgKd/hM1ksI+7wGth8LKP0XuX5tuW9uEMCm4oJvfzBdS8s5aad9ZiTbWRuCaJxU9G9K0N6nteJUki8dhkEtca98KG7EnyryuKmrMkWkk6IYWad9aSfLL2GWCzZUCi9jkTmNSXRmblfoqsGN554eWW3fVKACaZlHsw6lPcRgnjbKGBcwBwoNgbpHIpNnKp4O+69QGivfwA4jmRcl7S9Tp6ezxYUq3Yc+wHxS7mUHDkmssIBAKBQHAEEx7UOUu1hv6AN0Dzdxtwlrvo+GVr1HHjO0fV7aF3Bsj5bD7WdCu+IR8r/r7G8FpJJ4T10AltEDIvzcG1KJ7d121Xx2SfHFWiJji0mG3x2s5YvG4uVM64PCxj52QRS6jHTtkhuT8jMvgSrQPf1gYmHNp2RB9d8bfLpzyXs9iFZJOQPcofqdmUhB/ILbyG9MyPqOtsGbaoYysfWUz8qkQmOyZw5Gv9c4t+uxxrenQ/XAi/bxTMWiAnWabOF4307KCv+XWK1lyLxx2dKaw6/U7lPFiwkoM3Qll0As2fr5y/ImHChHa/pTxnKDyjMpxA3Yf8wDrK76+m4eY6kk9NJeAJYMuwYc2wMbFnZr148w2RqRMIBAKBYAFiy1QezEY26KXI3Q3jDPynj47HWzHSE/D2aqWCsl9mbPsI3l4vWZfkYI6L/a4361JFyr/wltI5uPuFjSRJJKxKxJyglaFOtC7MB8EjiSjPxG6l93RssImhhkZMvSVYydEtcVB+WHunJCR48GvaQH4rtOXBQ9dj+c+lurUJq6f30lvyhOYjV3n3yWTmfJKsnEuxWrXsmjUiqCu7v5qEmiQkk6QGdGX3VlFyRzmuyjisqdFBYAivN9izd9EzAFP6Z8qyzO7X76Cv+XX83jGG9m2IWuNK0T5frAaqpG3crG7bKFC9AEMk81HdfhkvUs7fYetS0v/zNPEvPKzONdys+OANvtHP6JYRrBk2bBk2Jva6kX0L7+2VCOoEAoFAIFiAhEywO/+gFwPwj/imPVayag+xdVcpb76tmfZYywHI/3KxUuqVEvut/dFG+MPxzs9tPYx3IjDkjdMAqHvlG4xtHCPwmnEm+rDz6pna9kAKXPwsPH0Jvkcv0i2bKrgKYc/TMn2u7EwKim+IUp4MvRACRck22UDNNvnUVFLPnt7GIC5hOQCWk3YRtzQeb4Sqbjh9zZqlgNfdz3DnxogVkmouDpDOVQCU8CftuLBMq0R0b6+EldwwH8JEPkgSH4arH6f3mwUkBs6MOgYgMObHlmFjslO5/7ZHmmN+HfMVEdQJBAKBQLAACe99qz1hHd3PK75WDbfURa0t+oY+u5Z9eR6Ja5MZr9NMiW3p0z8wCvRMNGnZOXlyavN2waHBVaUvu8Q//x51a09YR+0J62i8bRfevrDM1jWPRZWNAix/aQ2r3zx+zsp7Qy8j0s/LpOzXpuMYAAAgAElEQVQHVezb+Wdqn71Y/TcbqpY8xspjX2X5mpewZtimzNTtXf8zdXtiRCurXHH+rwFwJhXo1qfzeVbjwcmSqHMtYlPM61hQylZzuQcT+pdVHY9Hl6SHkGwmtTS1+9lOel7sirl2PjL/ftMFAoFAIBDMmtYH9jD8/qDaTxNO2jmZFNxYou77x/y6t/UAprijXNFyDghMCs+6w03Fkh8h2cN+Dh25unm/d/yQ3s/w/wYZrx8znBt8vZ+RDZrICFnGQYQ11TqrgK7yp0uoenxpzPlQ4GLLtiOZJDq2PTXjc0ciSRJmsxNJUgKiyZYJ1R5lKsb6GwBILz0Liy2ekuOup/ykW/XnRkLCioOlpHKZ/muIKLvUza2/EE54h7TBrwDgH5u+egHA2+sh/8uaSIwlYWFJj4igTiAQCASCBUrhTSW6/fqv7IxaU/7gIiSLROYnNDW59I9mMrpVrwznqnRFHiqYhsxP6vuzpspSGLEQ+3bmOxZzEotPD/N0e1fvlWYkznGgyAG/+k837pOpv2EnO6/YEjamz+jKXmU/69O5kBp9bwnHJEWNTUfCykTil0bbEoSw5zlwVriIXxl7zf4QKuHecdnmadeO9SnedikFys8ntfAkbK40w7USEiX8nlKeU8fMGCt4AjRcr1i07Lh0O7JfnvHfZfZncjHZtZdb1rSFVWougjqBQCAQCBYo6RdkGY6bnCZV7jzp+OiHH2exi/hl2gNdzTtrsSQurAeY+UDBDUqfYcVDivfXbKTQJ9sn2HDKu/T/u3f6xYJZ4UjI1ZmRA7BcCTS8cxzUDXVuYsPzl6r/BtreU+c2nPJu1HpvnyZUZM200Xy3Yv6dc2U+i1Nf180BFFxfPKf3C2BymFn8uxUkrDIOGAP+/ZP0n6rfVg74AImcxYoy5Wiv8gLK5py5RUoKn6AGmRrkGYnb+Id8bDm/Nurvsui2MuJXaaIzoc/KyNJdS+rC+kwUQZ1AIBAIBAsUySRRem9l1Hj1r5YZrl/6/CqWPKmo4xV8rcRwjWD2hHqUdl+3g/bH9tL7V+Myus4n2qk9YR37ftNG97NKT1H/P3sO2X0eTUQFC3mKpUF3/d8NVu8/e979sW6/v+VtgJj9WO3Bni5nZRzebi3YMMeZcZbFqfuFXy2h8pHFOMvmJoM+MbKP9m1PIcv67LAsR/eCet0D+3eRsKgiUpV3uGsrIGON+LlE7s81vn4vff/Q/43ZMmxUPFhN6tnp0d5+wJInV1J4SymOAmfU3HxGBHUCgUAgECxgUk5No/R7+sAu1sOIPceBo1iZM1lNZH06l9K7o4NCweywZWhiDJ1/6GDvvU0ATO6bVEssZV+A9kdbAOj4RSvdzyjCNpMdsdUCBfuPxZ4IUrCUrqAFnIqojZGM/oFg1KM33jBGyw+adGOBYJllfzDAiFscLYgCsOSplSSfkkLi8Ukk1My+9DIWje/cT+fOPzM+0Mhg+/vIssxIzw48431Raz3u6LHp8E4MkXC89rmz+0s7ACVDN9K9nYa37wXAZLbhTNL61swWB3OJfzy6r7X/n0o2POS3Z820YbKbKbmjAmdxdNDsKHaSEaMKYj6zsDoABQKBQCAQRJFyWho176xlx+WbcTeMI5lnJqqQf13R9IsE02I2EJnx9nnY9okNZH4yh4IbinX+gOFMNLsZfKOf5FMPbsbiaEOSTCAHH/CHknQG2aO9u4hPrzoo15UnJXZeviVq3NvrxZKsPXa7qrSsXNantN5MR6GTsu9Xz/l9+T2KWEvdq7cBYLbG4ffqBVwcCXlMjLTvV4nqlr9ehc2VQcpZNzDwihYU7n7jTkZ7NUVeR0IeecsupeHt7xud5oCJVQJtTrRgz3Pg7fUamq8fCYhMnUAgEAgERwhVP1vK8pdqDvdtHJXkXqWXY99yXi0Ag28pD8hTiTWM7RyNObf905vY9KH/6cZkX4DG23cxvmuMvn/00P7zlv297aMCm7+MFWiBhnto75ycN+BXAvX4DE1y39unzxSFVGe9vR5dwGHL0gILk+PgKs+2b30S74S+pDIyoCs78RYqT7sDmL2YTOeu/1OOG+8h7tNNmFwmnBVKBiw8oAOISy3DZJ7aE3M2ePs9qkXE6JZh9e+s7L4qSu+uRLIroY4tw4Y1w4bJaTpilX5FUCcQCAQCwRGC2WWekUGxYO7J+kzulPOdf2iPOTf8/qDhuOyTmdjjxj/sY+i/Awz9V3kwdze5GXytnz3fraf5rgY6fxf73AKoOPlbWEil8tTvAOAebpuT87qHlf64tKKTKVh5JTZXOuPbtQC9+FvlJAQVJj3dk4wF55JPTSVxTTIZn8gi5aw0si7NiT75HNJZ98K0a+JSy7HYEzFZHHjGehjunFrBcrh7myqo0r7lj+p42+Zfk3pWuhrAJoQFvCn5itJlfHo1VkcKRWuumfXXEo7sk9nykVp1v+GmOvW6jiInKWekkX6OYqBuzbSR+Yls8r5YhCTNjd/ffEMEdQKBQCAQCAQHiMlqIvvyPMM5/7ifobdji0+M141FCUsAugxcw811NNysZD18w0HfrbBn04BHmJ9HklZ8GgCOBCVois9QVEp7Gv45J+ev+/c3ALA6ksmsOAe/1w3/+pA6n3xyiiqi4+3x0HyX4s2Wd20hkkWi8MZSSr9biTnu8HdDWeyJSJKE1ZlKT+O/qH/rHka6txuudQ+3Uf/GnbRu+q2hqIo1w4Zv0EfAE9ApaWaUnQWAZDKz/Lyfk15yxgHdc8ev9EbiAU9AzdSFSixD339buo34FYk6a5cjjcP/WyQQCAQCgUBwBJB7dQEZH89i6wWaGIenY5JNZ76v7q9+63i2XFCLr8/LqjeOY+OpigS+t1d7+G1/vIWB//Qx2TIRdY2RjcPUX6+IUEzscavju67exqLfLJ/zr2khU7TmWl02SJIOTi7DbFVKDa3OFELFlytfOQZznEVVm2x7WCv5tB7Cni73kPJiICFjCRWn3I4sB2h4+/uMdG/TrQt9byZHOtQx78QAPY0v07LhlwBkVX2UrmCpJcD4wB7at/0p6poBh1Lq2ln7CmP99eq42WYsDrO/jO3Qly3LHhlvzyTmBLNa0mqNCO6OZESmTiAQCAQCgWAOkCQJW6adjAuzSTopJWo+8dgkJLNE9eNLKb2nEpNVewwbDMvkdf623TCgA+h43Lh/bnzXGCObhqPk249mJEmKCuQSMpcC4BmP7Q8YCPjY9MKVdE1jf+BMVvrl4tIU0ZWKU74JyGCV1exbZKmfZJMwO2ff0yXLMj2Nr+DzxO6/NGLPe4oR+/jgHiSTBZPZhsWuqGq6kqe2Ndnz3sNqQAfoAjqAgG+CvubXAchdeok6PjjyBgD73vsHoIijpBWdqlO9nAsm26L/Rnqe79IFcLag31/ov0cyIqgTCAQCgUAgmEMKv1ZC+X3V5N9QrBsPiWbYcxyknJ4GQPZlSi/ewL9nJiM/leDK7i9up/muBrz9+2cefTQQl6ZYeOx+486Ya7p2/R9+7zhtm3475bkC3nFSCk5QAzerPQVMMs7TYweMWZcY917KskzAF9veYnygkZYNv2Dv+p8r1/Z7kOWA+t9YhERhwjOWIVsH93ArSblryCjXSkZTC0+Kea5IJka0Xs6MsrOpOuNuAOzZQWXPUSUzF5++jKJjvrjfvWxyQFatQULWELIs49mnfL+ST9crx4arWzrL43CUOIlblrBf115IiKBOIBAIBAKB4CBgTbXq9o2k1POunTp7sfTZVQBIVuWBOJZkezix7BME4EzMB8A3OWw4P9D2Hh3bnlL3B9v/Z7hOlmU87n6dyblvwAsBE7JL3x9Z885adTv0c4yk8Z372fiXyxhof99wPuSHN9j+HmP9DWz882fY+Pyn2fjnz7DhuUsMjwkXhEnJP17djg8GtnFplZSfeAuFqz6nzuUt+5ThuabDYotXzzs8rGTqGI2HgETv9Ytof3T/FUf33tvIhlPexdM9ycZT36P3pW78Iz51vuyeKlVtExQhoRDWFCtLnliJs2RuTNznMyKoEwgEAoFAIDgISBb9A3ws6fqUM5SsXe9fu+h8Qq9kac2wUf3rZSx9WgnuZK+SsVj259UkHptE2Q+qqHh4se6YqbJ5RzspBScCSpA01LmJ+jfvob/lv4x0b6e74Z8MtP5Xt76n8WV12z3USu2zF1P77MVseO6TyAEvVmeaOu/pVr7vE4HtdGx72vD6sl82HB/qWK9cr+FfhvPh3nH9LW8r55I1+4RAwBd1TOfOPxueq+zEm8ldegkVJ98WNWd1JBseE07h6s/jTC6OvcA+CRYvjMaTlHIKAF1P7jNUgPWP+2l5cA/+0ej7B/AOeOn7m1JSPL5LsWHY+71G9Xud98VCAKp/vlQ75ij9/RdBnUAgEAgEAsFBIPH4ZJJPTSX36gKyrzRWxgQwJyn9V3vvbaL9UX3PnMlmIq46Hlu2HXO8EhQmnZiCLdtOxY8Xk3xyKolrkohfnage464fwzcssnVGhJcANrz1PYa7NrPnvYfY/cZ3ad3466j1jiTNf7D+rXui5sMzdWowETfGvp3Pq+Medz95N2cCkHVxDj7PmM6/TQ5owZkzqdDwvsO947oNev32vPuQTmnS5xlVg7+S467XrTWZbeQs+jgmc3TmWDJZyKw4h9ITbiIxawX2+Bxyl16C1aH0iFrsiWSUna3uA1Sc8q2IkwDxozAaT2rKB9Xh9sei+0F7X+ii57lOup7aZ/h1t/9MO8YdJgw0ukHJtMavUH7vTQ4zS55cCUDlT5dwNCLULwUCgUAgEAgOAmanmbJ7q6Zdl3RsMr1/6Zp2nTXDhn/UbazkF5YA6ni8lY5ftVLz1trodYIpGWh7V922OlLwhwmTGMr3hwV1aoY0Xi9msvWlYD/bVyFge4ytL14LwOIPPogzMR/vpFauGWkKrl17akPwwfb32Pjn96m56OngNa9V55Lzjpvy2EgKVl4JQEreseqYMzGfxnd+qGYmE7NXMNy5UdnOWqauS8hcqihrBoM6edipO3dgMoDJbtLth/83ksC4FvCObR9Rt1t/3AyANV37W3AUO3WlrkcbIlMnEAgEAoFAcBhJPjU1aqz0nkqW/7VGNxbqyTPqzQtl8VT8UUvmPe4949SesI7h9dGefXOJolI5NcvP+wXeiQH6ml8Py6RFl07aXFr5pbfHA6YAuJT+t4Dfg9+nV2jc/q+vqduesW5AX+LpGdcL5gx2rGdv7eN43P04EguYGlktDw34FRERV0opJrN1muOmJxTM2ZxKhi6z/MMsPvuHrDj/N7p15Scp3n1IMnTk0fwtfXYulM2UfTKNt+9idLOScet6ogP/mHEJZoihtwyC6vQD/9qOFERQJxAIBAKBQDDPSKhJxJqmD96m8twqurmU7MtydYIRC40dn94MQP31O1R/t4OBI8FYgTIcqyNJ3a77zzfprHsBgvYIy8/7hTo39C8P47tGGd06Qufv27Gm27A4lZJAr7s/KsMW8GklhCF7glDvm9WZpls/2P4+jf+9j96mfzPUsV4XQM6U8YGmWR9jRKjMNJSZlCQJZ1IhFlucbp3JbCO7+gJo1ZeRJp2oBIOhbOZkxwSDr/Uz/L4WwA8aBG2xMnjq9awilAkhvhMCgUAgEAgE8wxzQnSHjHWKTJ013UbetUU6cRb/+MJJ17mbxnX7g29OXW54IISLgaQWnRI17wgqZIb83MYHGmnf+iTIATIrztECvjEXLffvZednt7LrasXM29vto+S4LwNKH9xUZZORcwkZi3S9c43v/FA3b7HFI5lml5kK9487ECyOJKzONFwppdOuzVv2KbI+rQ+cQ4ImoUydt9+g5zMQHch7ezwkrp1evEUggjqBQCAQCASCw4690KFuW7Nshp5etky7Oj8TjFQAZb/MxrPep+fF6Xv4DiWRD/neLg/+MT+1J7/L4BtzG+BJJi1gTjMI6haf/QAA5SfeEjVnC5Yhrr7waarX/sTw/KFsltfdrwvSIgnNORLySM47FqszjYDPzUDrOja9cKXhMSsvUModbXGZ6tjqC5/GFpcVtTa18CSyqz8W8/qzQZJMLDv3p6SXfGBG60NBHEDVz5eq5t+enklkWWb3F7dHHeMdiA70PN0e3UsMySqx+u3jo9YJhFCKQCAQCAQCwWGn8uHFjG0fBRPEVcUbrkk9Kx3JIuEochrOAxAWDHp6PFFrvf1eAmN+Wn7QRPzyhHnj3+WLMEyXfTITrW7wyzTeuovib5eTcnoaG898n4KvFJP5iew5ua7FnsjSc35Cy4Zfkrv4IgIBrxpQu1LLtYV+E2xegWW1Vn5o5AcoWSS1VLG/5b8MdW5S5xKzVzHcuZGknBqGOjfS0/BPUgtPYmKknYSsZfg8ihBI07s/inG3EiazjdK1NxKXWsbEyD6sjiQkSaLqtO+wb8fzJGQuYc97DwNQWPOF/Tb8Nrz6LM4lSRJVjy2h58Uu4pbGI0kSJpcJb48H/6g+g1z186XUf3UH3h4PsizT+5cuUs5Mx+Q04RvwYs2wUfXzpey6ehsmpxnJJFHx8GIsySKMCUdk6gQCgUAgEAgOM7ZMOymnp5Fyahq2bLvhGnOcmfSPZE75cJ13tSam4e2eJOAJIPtl/ON+ApMBXfZux6c3E/BO3bMUQvbLyD5tbWDSH3WsHJDxDnin7YMyYnLfpH6/cxJvnxY0Nd/ZwL7ftIFfpvWBPbM+fyQ2VwYA9vhs7HGZVJx8G3FpFSRkaJ5/kiSRVXmesrN5BbxxGqP/0oJkzz69CApA0W1lmK0uTGY7Q/tqIeglZ7I4KV5zDTUXPUP5SV8HWfke7fqPItoy3t9IVuVHprznzMpzAUjJPw6bK53ErGWqBYLNlU7RmqtJLTxJXW+2OAzPc6iIX5FIybcr1N9Xa7oNT7eHyfaJsDUJxC9LwJZhx9PtYei/A7T8cA8tDzTh6VB+J2wZNuIWxWHNslF4cwkAiWuScJXHRV/0KEY6kEZUSZIuAu4AFgHHyrK8PmzuVuD/oegvXS/L8r+C4zXAbwEn8HfgBnkGN7FmzRp5/fr10y0TCAQCgUAgOKoJTPjZeMb76r6jxMlE0OOr+DvlNH+3Qbd+JjLw9TfuZHjdIDXvrEWWZTac+G7UsQ037WToncEZnzOc2hPWqceFtiNJOyeDvr8rRtSr/3v8nGahpkL2y2w4WbM6CH1tkfe59LlV2HOVQKr22Yt1czUXPaPbj5zPqjyP/BWXaeOSieyqj5K37FNz8jXMB3Zfv4ORCGXT0Pcycs6aacMbNBgvf7CapONTEChIklQry/KayPEDzdRtAz4OvBlxscXAJcAS4EPATyVJCmntPgZ8AagI/vvQAd6DQCAQCAQCgSCIyaG3N5gIM20O+XuFM/B6X9RYOHJAZnidEqx1/qGd4WDgBuAb9uJuGqf98RY1oAMY+M/U5wzH2xfd+2dEKKADGN8xOsXKuWVk4/CM1oV7poWTUR79qFt24td1+6HgLaMsaNYtB3QeeEcCZpc+7Ci7vzrmXCigA2NhIEE0BxTUybK8U5blXQZT5wNPybI8KcvyHqABOFaSpBwgUZbldcHs3O+BCw7kHgQCgUAgEAgEM8M/FO0F1nTb7imPGX5XC9baH2uh4eY63bH1X9tJ52/b9ef85u4Zl3Y23FSn27cXTF82WBdUmzyYTLZP4G4ap/76HbpxT9ekYYmpyaY9Vmcv+ri67UjIi1rrSilRtzMrzkUyKYG4PV4TPDnSgrrBN/WWBUnHJcecC8fIwkMQzcHqqcsDWsP224JjecHtyHFDJEn6giRJ6yVJWt/T0xNrmUAgEAgEAoFgFsymPDIy6ApnZMOwLqsSTmQwFIvxXWMAFN6kBDqFN2uy+fZCB2X3VkUdY0k8uCIZ/jE/2y7ayI7PbI6a2/qxDWpvYtE3jCX+85ZeQvGxirWBK7koaj7cViG8jNSVUqZu246woC71wxm6/XD7jbRzMiKXqxjZewiimTaokyTp35IkbTP4d/5UhxmMyVOMGyLL8uOyLK+RZXlNRkbsH7ZAIBAIBAKBQCPSJ6zkDk3JMeNCRTmy9N7Kac9zINoLo5tHYs65G8eou3obdddoGbf0jylZqsQ1mvH34j+sIPlULbgpvLkEc4KZuKUJ+31fckCm8fZdDEf0d4VjZAeRf0Oxut14u1KoZsu2s+SZlSx/KarFibSik1l27k+JT6+OmpMk7RHcFCZokpCxSN0+0jJ1xbeVUf7gIiofXcyq/xyrmyv8uhYcr3xFm1v63KpD1ju50Jk29JVl+cz9OG8bUBC2nw90BMfzDcYFAoFAIBAIBHNEzmeVx62uJ5THrJQz0thzhyKQIvuVQC35pFQkq4TslRnbOUrcomgrhUj5+emofHQxnX/sYHjdoC4TE8ne+/cwtlUL+mw5dt3De+n3KpEsEiarPv9gTbcRtyieobcH8A17sSTO3Izb0z2Jt9+LLcPG4Gv9DL7WH1NwJbLP0OQ04SzVlC/d9YpZujXNhiM/tsWEzZUec66w5gv0Nr2qKWxGEJ7NOxKQzBJJxxt/TSariYKvFhO/PAFznJnCW0pxlrlU4RnB9Bys8sv/Ay6RJMkuSVIJiiDK+7Is7wNGJEk6XlL+gi4HXjxI9yAQCAQCgUBwVGJ2mcm/roi0c5VKJ8miPfKlfVAJNCSzRPHtSrlf3f/banieUMaq+DvluvGUD6Tp9m3ZdmreWUvCqiQqHlCyTbJPNjSUNiLnCn03TsppaSSfFJ2pcpbHMfy+kmHb/KHZqaJvv3QTdZ/biicsC9f/z96odXJApuPxVt1Y+X3V2DKirSZs2fvf75VReiaLzrwXs1UfFKYWngzos3lHA5kX5eAKejRmXJBF/LL9z8YejRxQkaokSR8DHgEygL9JkrRJluUPyrK8XZKkZ4AdgA+4Tpbl0Kuea9EsDf4R/CcQCAQCgUAgmGOKby+n+HYlIDPqo5tOhCIU1NmDQVs4ta9qkv6l3zMu5dxy7npK7qwg9UwtY2VkWTDdfczWIiFE/7976fpTB7mfLyDgVsRN6j6nBbCersmoY3pf7IoaS6hJwj+mz1racu2Y4+a+36vkuC9TctyX5/y8giObA/pNlGX5L8BfYszdA9xjML4eWHog1xUIBAKBQCAQHDjWVC2YkgMykklfitj3spLJMgq6ljy1EnfDOIHJAK4qvRF0/vVFtD28F4COn7eoQZ1vOFp9E2YnfLL8pRq2fKSWuKXR5aKRjG4cZnznGA03Gou9dDzeyvD/hqh6dAmgfA9a7tfMzRf9fjn+ESWYM8eZKb2nkqbbFbXQkDm2QDAfOLryugKBQCAQCAQCFVuOVlLoG4wulez/h6I+buTB5ih0knJGGmkfzojqSwtXM/QHM2T+cT/1X9EUMU0OExU/XoQ13YqjxDXje7am2kg+LVUNtqbCYyB4EsnoxmHcjYoC59B/NWl9R5ETV3kcCasS1bGU09NIWK3sF95cgkAwXxBBnUAgEAgEAsFRislmUlUwjRQfw9fNhnABE1+/F9+Ij01nvs943Zg6XnJXJYnHJrP8/9ZgdpmNThMTW4ZtRgHbVF9TODsu24Knc1JXYrnkTysN11b+ZAk176wl42PZM7tZgeAQIII6gUAgEAgEgqMYW7C0MjJImtw3AUDSSSn7dd6lz61Stzd/8H+6ucqfLCb5xP07Lyiqk4FxP7UnrKP1oeao+Z4Xuth87nrVAw/0Ng+ld0f3AE7sdeMfUcpDK368KGpeIJjPiKBOIBAIBAKB4Cgm1C8XnkUD2HGZYrwtWffPJ8ye6yDlzLSocXOShYTVSQZHzBzfiNab1/30PuSA3k+v5b4mfBHKm7lf0Ny2Eo6Jvr5v1Ienx4NklUhYc2D3JxAcakRQJxAIBAKBQHAUExJL2ffrNnVsotVNYFzphUs5NTowmymRVgUAS540LmucDQk1+qArMoAzwmQ1qVlHc7yZ1A/pPeS83R683R6s6bYowRiBYL4jgjqBQCAQCASCoxjJrAUwLQ80AeDp0koxU8+ObaA9Hc4yvSrmkidXYk2ZuWF4LCJNrMNLR/1jxgqboJRdLv/bGiRJovi2Mpa/tIblL60BsyKS0v9yL5akubcpEAgONiKoEwgEAoFAIDjKcZQoBtg9zysebft+3TrV8llR/qDWn2YvcszZecOp+9xWht4ZYN/v26N6A0vvrqTs+1WAIvgSCioliwlrqhVrqhV7joORDcMAePtnZpguEMwnRFAnEAgEAoFAcJSTHSYi4umaZHTTCACuxdN7wU1H0vHJJJ+WislljrI+OBCST0/V7TfcVEfHz1p0tgT2QgcpZ6SRfEpq5OE6rJmaZcNslTgFgvmAyC8LBAKBQCAQHOWEm4tv/dgGdbv6F0vn5Pxl36uak/PoznlPFbJfZsPJ7+rGx3crgi9Ln1mFPX9mmUFbmA+fveDgZBMFgoOJyNQJBAKBQCAQHOVYDPrcUj6QNqeZtYOBZJbI+Vy+bmzglT4ArBkz790LV/gsvr18bm5OIDiEiKBOIBAIBAKB4CjHUeDAFFF2mHdt4WG6m9mR+/kCEo+NtiAw2WdfRll4SymWRFHIJlh4iKBOIBAIBAKB4CjHZDez6t/H6sasYSWJ8528LxUd0PHOckWl055rn4vbEQgOOeJVhEAgEAgEAoEAUPrQel/qJm5ZAibbwnn37yqPo+rnS9l19bb9Oj7zomziquOIX5E4x3cmEBwaFs5fq0AgEAgEAoHgoGLPd5B3TSHJJ6Yc7luZNfHLEqj+1TIASr5bMatjJZP0/9u7t1BL5ziM49/HOOYQckgzwsVcOJQRaTQ3SIwIN4pyuFBKFKWEG7lzJSmUkJFTU4iUw+SQC3ImxpDJcRrZJOGG8HOx/rTazYyx513W/Nd8P7Va7/tba+3+u5526+k9bAuduuaROkmSJM2EPY/ci+NfPWnay5D+dx6pkyRJkqSOWeokSYgc7SoAAASRSURBVJIkqWOWOkmSJEnqmKVOkiRJkjpmqZMkSZKkjlnqJEmSJKljljpJkiRJ6pilTpIkSZI6ZqmTJEmSpI5Z6iRJkiSpY5Y6SZIkSeqYpU6SJEmSOmapkyRJkqSOWeokSZIkqWOWOkmSJEnqmKVOkiRJkjpmqZMkSZKkjlnqJEmSJKljqappr2GrJPkO+HLa69iEA4Dvp70IzSzzpUkyX5ok86VJM2OapO01X4dV1YHzh92Uuu1Vkreq6oRpr0OzyXxpksyXJsl8adLMmCapt3x5+qUkSZIkdcxSJ0mSJEkds9Rtu7unvQDNNPOlSTJfmiTzpUkzY5qkrvLlNXWSJEmS1DGP1EmSJElSxyx1C5RkZZJPkqxPcv2016M+JLkvyVySD8dm+ydZk+TT9rzf2Gs3tIx9kuSMsfnxST5or92eJP/376LtT5JDk7yUZF2StUmubnMzpm2WZPckbyR5v+Xr5jY3XxpMkkVJ3k3ydNs3XxpMki9aNt5L8labzUTGLHULkGQRcAdwJnAUcGGSo6a7KnXifmDlvNn1wAtVtRR4oe3TMnUBcHT7zJ0tewB3AZcDS9tj/s/Ujul34NqqOhJYDlzZcmTGNIRfgVOr6lhgGbAyyXLMl4Z1NbBubN98aWinVNWysX9XMBMZs9QtzInA+qr6rKp+Ax4Fzp3ymtSBqnoF+GHe+FxgVdteBZw3Nn+0qn6tqs+B9cCJSQ4B9qmq12p0UewDY5/RDqyqvqmqd9r2z4y+GC3GjGkANfJL292lPQrzpYEkWQKcBdwzNjZfmrSZyJilbmEWA1+P7W9oM2khDq6qb2D0pRw4qM03l7PFbXv+XPpHksOB44DXMWMaSDs17j1gDlhTVeZLQ7oNuA74c2xmvjSkAp5P8naSy9tsJjK287QX0KlNnTfrbUQ1tM3lzPxpi5LsBTwGXFNVP23hVH8zpv+kqv4AliXZF3giyTFbeLv50lZLcjYwV1VvJzl5az6yiZn50r9ZUVUbkxwErEny8Rbe21XGPFK3MBuAQ8f2lwAbp7QW9e/bdiif9jzX5pvL2Ya2PX8ukWQXRoXuoap6vI3NmAZVVT8CLzO6jsR8aQgrgHOSfMHospZTkzyI+dKAqmpje54DnmB0SdVMZMxStzBvAkuTHJFkV0YXUT415TWpX08Bl7btS4Enx+YXJNktyRGMLsR9o50a8HOS5e1uS5eMfUY7sJaHe4F1VXXr2EtmTNssyYHtCB1J9gBOAz7GfGkAVXVDVS2pqsMZfa96saouwnxpIEn2TLL339vA6cCHzEjGPP1yAarq9yRXAc8Bi4D7qmrtlJelDiR5BDgZOCDJBuAm4BZgdZLLgK+A8wGqam2S1cBHjO5qeGU79QngCkZ30twDeKY9pBXAxcAH7bongBsxYxrGIcCqdve3nYDVVfV0ktcwX5oc/35pKAczOm0cRh3o4ap6NsmbzEDGMrppiyRJkiSpR55+KUmSJEkds9RJkiRJUscsdZIkSZLUMUudJEmSJHXMUidJkiRJHbPUSZIkSVLHLHWSJEmS1DFLnSRJkiR17C8RLFDVZAjVcQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "T = 5000\n", + "x0 = 0\n", + "\n", + "\n", + "def gen_martingale(p):\n", + " X = []\n", + " x = x0\n", + " for t in range(T):\n", + " x = x + (1 if nprd.uniform() < p else -1)\n", + " X.append(x)\n", + " return X\n", + "\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig = plt.figure()\n", + "N = 10\n", + "t = [t for t in range(T)]\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_martingale(0.5)\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n", + "fig.savefig(\"martingale_coin5.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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3hqqmYgLBXQuIhRBCCCGEAAnqPvPalkH336D7EfA2Q8vPQY1Y2dh4Ux9VxU0Mr/ZiyzfD9Fqw6pkpi2dfQMljI/CNx6BsGy5fLcXXaklG/J3Bsa+jb2ULPZ/soInr8NNHL0/RhzGj42hQFKseXWTbwNp2Gv68ih2//4TmJ6pRVZWBde3hIG/sEsXO14x7AFPm5RrOgy4/a7//XMyljbtKDap0vb4dc7INW24SAGXXH42iKJgStLKN3m5XzHszk84iLeErcZ9tMaVySEFN+LzX9TJrW+YTVL3Udp4BQHbSBVH3Oaxl2C0l4fN1rYcSCA5G9RNCCCGEECIWKT7+GeVrh76nofef2nnQBfXfg4FXwdcBedeDNUel4yF91ml4nRez/zl462E45gMAkksnQ4Wf+in3AlCafidWq55oJDAUxOzUY/ttt4cyMz5+B1iCtLt/D2+cQFnRQswJFpwVWXS9tQMAR4ygzpIcu4B229MbsSRZafq7Vsst4+hJtD2zKe7nn7S0kuzQHr2qxU8avzc9LmyZiXHvjWdgXTuuBq20Q2DQyyEPnW64Pue+r7L2u8/S8eJmEialMry5m8xFJbEeFZfZlIzNPAlvoIHt3UsB6HO9HL6en3IFJlMi7YP3ATAp7TYAlIi/rwTVQdoHH8RhLSPROguHtWy3P6sQQgghhPjikJm6A6D/VfA27bzfqN5/w7o8aLgEfKFa4gOvawEdQNcDsPUUldZ7jGsyJ92STsfQQ2DRp/LMCTbMJj0Acli15ZGOMi2eH61pB6GZs6ZC6EuFt79EO7+F5Yvh0fPZeuv71P7f2wB0h4I6W05S1NgVRWH2H0+J+blGAzoAX5+blieqw+eJU/Sac9NuXBQO6EDLsBmpf3UbI/V9DG/rifmeeLb8+j2aHl0LQNbx0bX5LElaQDq0sYvNv3ibunv/G3P/3c4Up/3ccB5ZqsBqzqQo9frweVbSYgDSE0413OMP9rGj5zJq2r9EVVMxXn/Lbo9DCCGEEEJ8MUhQt58NvgdbT4L1xcZlk/F0PgDbz43xnDHlz9wbFIJu4zJE52ERqf6P+hD7Ed3h08qiRiqLGsPnk+/NAKDpl/3h5YyeRjc0ToKNM+G1r8COUli1wPCO/lDmSACTNXZpAXt2EnP+9NW4nxFg3dLnw8dz7vsq+efMDJ8nlKYZ+mYuKqFy+bnhILLhwSo2XvM6m65/M+5SzOGtPfgHPKiqSuPDa+hf1Wq4XvjNueOOz9erZdv0tO/+/rYk2yGG887hRwCYnHFfuC076QLs5hIURQuubZZ8w7/PoOcjwzPWtx0+7js9/iZcvs27PVYhhBBCCHHwk6BuP1BVaP39EP2fdrI5ogxc44/Gv29oBTT8MLpdiZPPZOi/QSw5JuyTLTjKLbQM3KFfvPNqih/tivsue4m+8nbgLTeBER+t/9iud3ji67DofWgJFfn2WcBjY+ut7wNQfIExcBnLlpnIpB9oAeHcP58at1/uaRXYshJJjAjkrCn2mH1n33NSVFv9n1Yysr3X0Bb0Bth0w5ts/tW79H3STMdLW9i67ANDH4sz9jLR0TGP2pOsm1ZzLkWp/xfVnmSbo78n/WZm538Q1cdp02Yl3f7oAG3EuwF1zF8G3L5tDLo/orrtSDa0H4/H3xh1nxBCCCGE+HyToG4/6LgbWn7sZOth2Yb2zvvAVTeI2xU7G6Q3TpLIhBkRJ0nDgDY7NfJyBvY8K7PezmXma7l4/PUApDpOBCwkWKfHHWPkPrqtF3SzZskr9LzSHbc/a+fBqsrwaawkKWNlnTCFBY+fjTXVwYJ/nh2zT8ocrZaeLSuR+Y+dxYInzon7PMVsIudk4/6y7nfq2HidcRqz9v+0cgKuhn6Gt0Yv0Zy+7IS474hcBgqxM2Xuitzkpcwv3IzDoo/Xbind6X3l2U/Gvbax43/Z0XN5+FxVA9S0H8fmriXhtuq2o/ZovEIIIYQQ4uAlQd0+pqpBhj7xxb2+YXIyNS/8hEBgGDUAwYia2p7IyZn1WrkAUxI4F4Xa7F5I64Xc9nC34ZeyUcyK9p/iQMHO1MyHmJv/KTZL4bhjrXgqIuh0O2DHlOhOfjPK5Q+DLzSzFdRS9u9KUKcoCopF+xFTzCbmP3YWs+45yTBzlzIvL3xssppRTMq4zzQnxZ5h8/a4UFWVke29jOzQSxK0P1dr6Df9li+TNCZwi5Q0NUMfT4IlnFgFIOgPhuvp7QqTksDu/k9MUUwkWPVSEbNy38Zi0ovI97qexxMqUj4axI8VCI7s1juFEEIIIcTBTYK6fayx70b6zMbZlrJXIPvyyE7FeNwt1F0AqyOWVraM5tdYMw9m1zC71cOceii6E6Y+D2R1gAL2MuM+Mn8ohvH463DaK1EUBas5a6djdR4Wscxx04zYndwOlMe+qZ97tHtiJUnZGZPVjCM/GWuqQzu3x96TNx5HQXLM9vU/fIH2Z2sNQdhYzlnZJE3L3Ok75v7lNOb++VRMFhM979XT/Z4WPK37/nNsvOHN3Rqv064tp5yZ+9ou31OeraU8TbEvwmEtY0bOc4brbr+2TLam/dioeyF+sCeEEEIIIT6flL2p+XUgLVy4UF25cuVEDyNK1TEfk7skj6LLSrXzpmJY/C9YEbEMrqiJklsKqD8/FEOf9iw8Z0ynb0qCcM1pVZ+tmkcvFrT9ZtXHtOGp8zN/cyEttw/RfpMW4KR+DQqe2sDGjv8lwTqTmbmvGp69/rKXSCrLIDDiw9fvZuZtJ4av9X3UxbYlEdOFuW0UPtlAz2+Kcb2cD9M2w5by8OW0a7eTeUQZaQsL9uTbFeZuHsCcaMWavnsF0FVVZbCmE8Wk0Pdfbb/czuR8rZy0QwtwlmeimHf97xirvvU0qjc6u03l8hiZbOIIqm5GvDU47ZU77xxh2LsOh2UyZpP2b9w1vJw+18v0u9+I6puV9C0spjTaBrWyFVMyHyQ94eTdep8QQgghhPjsUxSlSlXVhWPbZaZuL3ha/PBxJe1/dLHx9DaqipvgicVaQFdeC0lDkKdlXazvulG/cUxAB3pAZz11raF9LelUoVAVNOFt9ZHzAyemBIXCnzvJuFArMt7/Amx85woAAkHjHjA1qOLtGKb3o0YG1rTh2tFH1eInaQ8FQ8GxS/WuuZ3EyU4q7taCEHNnheFy321TSJyZYnyHT2Xdoa30PLPry/4chSm7HdCBtqQzZXYOyTOzKfzGHKb85MiY/Wbe9b/h49RD8kiekb1bAR1A4uS0mO1qcNf/EGJSHLsd0AEk2eaGAzrQSh9MzXwoZt9JabdQmHotkzN+D8D27qVUNRVHJVURQgghhBCfTxLU7YXmOzvBb4VNMxh5Lk/LX3LjLdrF7VMgvU+vGZfWCj+9DZTx92RZHrg+9oX2XFSPgqNUy1qpKAqlf4nYX3bfJQBUZP/bcFvDg1UxH9f08Bp8fW4tEci8iEByYRXJnIg5SfvRCPRFBzDrK/qoXdwZPu/8xzC+tgD11/ZG9d2fTDYz6YcXYUqwRF1LKEohsUzbH7cnS0UBpl51JOYka1R7z3sTs7xRUaL/5zo54w/h9ozEM7GY9D2B1W2LCKqeAzY+IYQQQggxMSYsqFMU5SRFUWoVRdmqKMp1EzWOvdH70JiZJq8NPNp+MTLHZJJ863hozddm7+I58iNcjhUApDBm+dwDFwHQXPotqlBQUWlQLoInQpkP87T6cTZLfviWLbe+T1eoUHgsW2/7gNblNViK9MAtpWguCtHJSma+mWs4H1qhBwuNP9c29QVdE7OUd/qvv0zhN+aQf85MEqekU3KxNiM95cojKPzWXOy5exbUWdMTmPfX00mqMO7Dq7vvU/xD3r0e954oSf+t4Twj8QzDudWsJ1XxBhpY3VzGoOfjAzI2IYQQQggxMSYkqFMUxQz8ETgZmAl8XVGUmePf9RnUP2Z53kiifmz1a19PeF37+u5x8PaXwRJqn1mjfU3tA3OobVI9BLV/kmm8xByayGIpCcyHh74PQGDSGgB2sIQuHoQly6FsCzQWY0/VArqut3bQ+0kTAxGFwkclz8rGMVlLdjKyLTSzZtWXTQ7Y9aLghTekho8Tyq0ULTPWj6sqbtKWnI5+5ILdT3yyLyQUp5J3xnQKFs9ixrITyPrSZEArgp53WgWKMn5GzfEoisL0m7/MrN+fTNYJenbQtRc+S/sLB77Yd2biEvKSLwWgMCXWrG70Z93cuet7AIUQQgghxMFnombqDgO2qqq6XVVVL/AEEL3R7DPM64qof1bQHGoMLdVLi1iGOH+V8cbL/wBn/xuuvBMSRrS6czM2AmBKC8Bj3yB1m7Y/zkYhJTzAdE/EEspirbh0L6EMmx8fDtkdUD8Jz/2LqJ4/TP3v17L9zhUxx114cRnuM5Zp7w7xtytw+zVw483M4NNwe97FyeRe5KTsYW2mKveb2VHPi+TrCKD6Do7EO7vLkeekZKlxb1zTo2t3a3/dvqAoCoWp11FZ1EheyiW7dE+SbcHOOwkhhBBCiIPWRAV1hUBjxHlTqO2goQ47weHSZtpMKlh84AvNZCWFsp4segcCVkiPCADXz8G69G34YBFk9mj3mv2Q0k+wcCP89lr6j/tJuHv/my5WlzXr95vH7Ml75HxtX9/WafDTO/CsSYJnz4A2fbnkjDu+pB1YfNSlnKUdJ7j0Z3z7UTjjP8y86DISmW94fNGNaaQery8ztXzvRcwnrI79TfFD17+GY1/7nCi99FDDec8HcSrGT5CStNtw2g5lfuFmKosaSXUcT1B17/xGIYQQQghx0JqooC7WerioKQ9FUZYqirJSUZSVnZ2dMW6ZOEqiG7K6IXlIS37iiPjFWQFOfAVyO7RPdfZT+rWVh+H73vXw5gl6W3e2Nlu3SV+Bur3tSrqfH2DrBRF78y6+D4YiMk96rdCdBVavvpdv1PtaxfIZt59I66QfaoFlbjvurhbtek9on9j/fKB9jjXz8Q/4d/q5U276kMCtS6Pa8y7VMjU2XN8XdW1fGeRd2rlrvz1/V2QeW4qjWP83qLv3vxM4mmhJ9vlU5DwdKnwOdkspLt8GgqprJ3cKIYQQQoiD1UQFdU1AccR5EdAytpOqqg+qqrpQVdWF2dnjL/070Az1ywqawRxxftVdMKUOUMDtALsHfvAgpMQvjE1rPrynF5Pu/dJS6i4ZMPZZPR+608AXyvbYEUqKYY6Tul4FNbedPp6CmRu0wLFxknatYlNo7Pq3fXPNpTtNg2+nDHLb9YbGYmgsJue7znCTe6tv3GfsigCDDFOFl0a6+Ks2Po6jiZ/Qzj0EmbjZp1l3/i+z7z0lfO5pHyf5zQTzB7WlwDVtX5bATgghhBDic2qigrpPgWmKokxWFMUGnAc8N0Fj2SP2tHT95NwnwRoKZE56Sfs6mhClKxs6cqEvHQZSjQ+J2NdGcEySkaFk4/mcddoM4CPnk7PxfrLVK6GxSLvmjLPk8YOj2WSfoR1f/gc4LeJbfMrLcOXdUNRsuGVkqJahwfWxnwc4KNOWjJoCcKg+S2XJ0X+Uar7UHuvW3bKd89jEQtYziXq+xzD6u5q4gu0s3ut37A1bpr4ktfrylydwJONLTzgVAG+giQ3tX9mnSzF7P26i5V/VeDo/30tuhRBCCCE+6yYkqFNV1Q9cBrwKbASWq6paMxFj2SsPfxsu/YP2XXSGZmtG69BZYixltI/5hdri1/bk7czPb9IDt+o5dPw6BaUzG7aVaW2JEcFhqNg5AG35cMvPtON1c2GHnr0xLX1RzFdtqv4+tdUX4XY1EghEz+zYCb1zczks1wIrhQRQoHy5Ppvq7zPu/XPv8BH0qPh7d60g9gCvGs638BXDeT/PM5EUs4lpPztmQsewK5LVY8Gv/cHA46+jrufKcfv7g727VLS8b2UL2+9aQetTG6m+9CX8Q17UwPg1GIUQQgghxP4xYXXqVFV9SVXVclVVp6qqestEjWNvlMy5GpJCAdXk7bCgCvoytcCqZLtxl6AKZHdCbkSZAasPkgfh6Pf0tiM+in5RVndUU8fmF6ArS0uyYgq9yOaBdXOgPmJl68snY1IzwaWXW5g+9y9MLr8Zk8lOPDVrlrC+6oyoX/DtTA0deMOF1VVc+GkjYbpeBHztnJZwZqJ7jdcAACAASURBVMi+N1zULGpndVkza+e27lGWzADRS1eDTGxhbUexPvMacO98P+JEWHPBf+DPP4CA9j/1XtcLcfsGVTdrW+bS2PeLnT532+0fGs7XXvgsjY+sjdM71rs8qOrnM1OqEEIIIcSBNmFB3edBZvYpMHO7FsR983Et0AGoK4GmEvjkCH3/W1uetnzS5oPCJsjs0mbYFq6ESQ0wb7X2nOZifUYvrxVePEUL3hSwF0fUwfv9FdCdqe+JO+VFZmwMUJD9E5jUBIeHCk6vOAr1Ow+Q5JwdvjUxcTomk5U5ldpyzKTkOcyc9/eozxcIDLJu5amGNguZTGdl+NyMlnDFzVYs6WYyztTH2LxMC8QG3jbOUK6rbGXVlOY9KlY+k3WkhqpfeIlfWP1AsGUkkPu1cgDWfOeZCR1LLOHC81vK4Zo7YEvZuP09fi2TZ+fwIwx742Q4HUfnK1t3qV+/6y1WN5exrfvC3X6HEEIIIYSIJkHdXlAUhXnHPkHh4efiPE1fqmj+5GR4UluamF5xCEWnH4u5b7J+o0mFRJcW5Fn9WimE8q1aG0BWF+S0a9cai+D1r4AKQXXQOIDa6ZDZTc6PFcp+vYDEKYnkEypI/YaeXVP9x9m43smLGLf2z26xJFMx+wHKKn5LQuLUmJ/R7++jueEBQ1vLxsdJ2nghU3iact4EwMM2AErv1vcatv9piI6/DaHYYxf/9jTqs1s+bw9VK46ir/cDqlCAAE6OZQpPkcC8cL8E5pDHdQDUMCPmcw+k5Lm5O+80QTpe2mJs+NMlcNVd1Fz5SlRfV0M/G765FpoLABhwvxv3uaMzbEnTMii7wbgENTCy8yQ5XSNPANDvfoMRb/VO+wshhBBCiPFJULeXLJZk8qacxeTs38J1twKQUJQWvp46pYKktDIC/aFZKbMf8+I3SD8xA9NRY5arBUPBj0nVZ/1u+b/wZZ89emYqKXE+RUedRer8fOOFMclTgv/4KumZJzB99l+M3ZLnYLFqKfqnViyjoPiiqHe0NT+Ctg0SqlYcxUDfCob7NpLOmSQwEzDjQZulUcwK5f/W99Y1/ryPjj/Hzg7pqdODuuFhrQD7tk0/De8BS+F/Secs0kIzcylP/I2q4iZqS4rC9wUYE+geYCnz9KCu77/NbPrZm3S9U3fAx+HpHGbdxS/gbtYzpiaUpsXs624epPWZjeHzkbo+Nlz9mnZy59UABFVv9H2tg6y7+AWGt2h1FzOOKcGWlWjo42oaiLovUvfwv+lz6YllNnacHLfvtq7v0zpw77jPE0IIIYQQEtTtMzYKKTrxVLB5GFqlJy5xN7mpX7Zd7/i1F7BnJzHllxXMv+OHkBgKeHrS9eQqzkHI7tDvaSoCkwVOfB2Oexu+/nj4UmJKWXjmbdQ03tC+boyoEtGXhm2ogqTkmcSTlrGI/KLzmXXIP6OudXe8xPbNxr1WwaAPBSt2Smnnduq5GIDkw+3Yp1qinjGq4CdaEOmp14O6pro/6B2qtaWiuVwFQB7XUshvGbgmNPsYBAa07KATnQVTURTyz9G+p9vu+IjhLT3U3/fpPn+Pt2uELbe8h38w9j7Cng8a8HW76Hxtm35PxzCW1Nj7Jlv+WU3V4idRVZXmx6OznXr9jeFjX5+bqsVPUvPjV/B1u2h9UstpZM9z4ihMpvjC+RRfcIh2304yYdb1RidqCQSjA8Hu4X/T536VloHbCKoTu3dSCCGEEOKzToK6fSg3YSmYjd/Stoebcddryyrzf5KEPSeNKV89X+9w6X2QMAwjSZDWp9WyS+0H25iZkoY8uPEWrdZcTgdUrkSZsY3OyVfR2vSIoWsKx1OJSsr0AlJfvE9rDJhpf7dqlz6HI6GEBUe8R06eHjDVb19Gb/frhn5ej5b0xU4ZKj66uD+cvGT6MzmGvslHacHFrLdzyfuxFpA1/aqfHVtvJhhw43E36J1diRSoyzCh3WMikTyuJqnSpveZtQHWzGOAV/ChZfxs4w56iSj0foDknlaxX5/v6Rhm/SUvMrC2nZ73G3C3DFJ3/0pUf0S2yUD0/kR32xCpC/Ip+vbcuM9u3vZXBta0GdocmxbjCdSHz8cu4xxYq5WssOc5URSFnJPKyPyytrx4xz2f0PCXVbv1+fpcxkynquo3BH8u34bdep4QQgghxBeNBHX7mDLOd7Tg7LnM/u712NMy9cb8NtgSCgqsfkgZ1PbaKWjJVMb62a2UlF0Lg8moWybBQAot//kUNahnqRxua6Tq7qvwu4bp7/wE5q7Vyh88fH708+J9DsVC8eQrmFP5bNw+HncTEFHmAPBSB4Al3UT58qxwuz+nFhqLqSmz4VP0sgs9zW/Q2RH9jgzvd8LHrfcOUFXcxHDVmED31BfgiSXUs5RGfkIz17Cdc1DZtbIJ+4rZYSH9yKKdd9xD1Ze9FD5ufHgNNVe8QvdbO9h250fh5Y6eLm12uOPlrbS/sJmA24+/z409z0nuqRWYk6zaA84zzsK2/7NOPznzaQDcDx6B26+1q/4gbf/ZFHNc9oill2aHPjPb+do2gp7obKBbu/TEKKUZv2dq5kMA1PVeharqAermziWG+zZ1nEav67NbC1AIIYQQYqJJULePqc6I8gPJ+rKyrNP0mauut3bgadOWXU7jTcjpHPsUAEzpsYOT9iuL4a3joW4ybJoOPhuDTdoST1dXG5v+eTcANY8s02b8akNB47p5DP1Xe7ZrA1RPh8BO6kZbrVlRbdNm3AOAx60VLg+XOYDw3jqApCMV8mv+RfKXzbiu+Ua4vZqpOA8Lzbp15NBUpz2PjO5wQfaGbbfR1fEiW6qvpeW2cfZpXXMH/bxAB3eFm0bYtRnJfWnKlUcazrfc8l6cnrvH1RBdymFUf1UrW5d9ABD+eQJoenQt7lCw58hzAlB27dGkH1WsZVs97m39IetDs3gVm8ChZykNBHvxB/toq4r/ORRL/P/7GLuvUFVV+t3aTK/VlENm4pmkOvRkPi7fptB7hxny/pextncvlRIIQgghhBBxSFC3j+WcOUUrKO5wQeoAFDWRekaQkuu0wCcw4qP+/pVsvlnLLpjCl7E7ImZ5LEBmN1i9BAs2QOIwpkJjUOOuiygRMKT90t7T+haBgIsNf789fMnvGtYKkH/3b+G22sMVGq+EDbPAUwsb4myxU1WV7k83EPRGZzNMSp6NyZQYnqkzo9drc0cEdZ38idaUq/E/cgpM0vdoqbgpvFFbgsmy68Brhfsvgvsu0ZaXAgP9/6V+2y0MvGh8d+k96ViyxvzY1pUYTlu5lSDRhdP3t0nfXxA+HljbzvCW6PqCYw1v72Xr7R/S82FDzOvhBCZxeDu0qDwyqAMYWKcvkQRwTs9iyhVHaEl4jlyBKd1YZoKlD4a/9wB8fDgdH1TR8tqbeluW/seH1IUF9LvepLl/WcxxqV7jHyT8Qf3eyRla8pPIvaD9bm0faHO/XrLykIKI8QCeQF3MdwkhhBBCfNFJULePFSyeBclDhoLho794Awxu0H659XaO0P7SFjztQ3gaPJhSteVqKVevhwQ35HaA3wZz1xMs3gBHfAyVMRJwtGpZL7sbX2dHdexfsCnfQu5dTeHTjt/pl7wN4GuNvqXj3VXU/fNVmp4zztTY7HmYzQnYHYXhoC6Z48PXu3mEIT7ETzcBtCyJLtZEPT9YEEoe05GrFcd+63h4+mz4z7nGjsNJhtOMMxOZt7qAGa+GZj5VtNmnbr2UQj/P0sJNsb4T+1X2V6Yy4/YTw+ebfvbWTu/ZdN0b9K9sYcc9n+Bpj50lFKDwG3NIPyL2Es/6B6vw9bjIPK403DawNrTfMddp6OuwlEN2F+m/GbPvTYFJRT+n5KJK7Xz5Elrv7dFn8g7/GG74DRz7DgB5p1ewtfsC2gb/GA7sii+cj8luxmQ34+3WgmqXbzNbOr/Npo4zACjL+jvJDn1Wc16+lgG2ZeC39LvfoXNYq5c4NfNvmE1OKosacdoOBcDr13+GhRBCCCGEToK6fczssIBZr8tmclhwtw2Fl45tu/3D8LWmh9dQfbm2V8hWaIZzlzPgfoNZ14b2vgXNxodbA2QuMaaQZ8Ms7avbQf9bsdP7W5ISSFmUEHfMnu3Gc9/giBbMdWQz8FqQzKo/gMfG9Nl/Zs4Cbd+V3VGEOxTUWQI5zBzRsi66WE0tR7OWLMOs3agCbgZgi/sMvfHd4/Tjq5fBW1/Sz9fPAWBBfSGVjUUoiva9TZxpY+YbuVph9u4smG2sdza6t+9AG50ZG6UGglF9vD0u+v7bHBXEtb+4hcENndTdvxJPh3FdbMrcXKZcdSSVy88N/5d9kraXsesN7R8woTgl3H9oYxcmhwVzotXwnFl5b2I3l2gZJY8K/Sye/h8AnPZDo8YftmR5qO9zcNdV+CfpgXrb4B9x+baQc1IZ8/9+Fvb8ZDyhn/kN7ccz4HkHb0CbqXVYSg2PNZv0YHxr17fDx2kJ+tLMyRl/BMAT2ucnhBBCCCGMJKjbD2bd8RUASi5eSOE35qB6AwysbsPdFn8mJvmQVEABvwVTavx/FtuhMZKntOaC26Gfz1mn7ZEKqfj2xTjnpcLPfxnzmZ4xsde6XzwAw4mwfSremmS6H/di/s3tJCZNxzuivV+bqWsgGPSxY8sv2LD2WxAwjrsXPSmHmQwWECSZ47R+Ldlw8kvEdP/FOEe+BjUzYaU2S6OY9EBZVcFTB5ZUK3hCn3vYCZ8uhHZtBu9AJ0sZZXZYWPCvc8Ln/Wva8PXpSx1HdvSy/ocvsO2Oj8IB/ajOV7ay+aZ36H5rB9WXvRQu5F34jTkkTklnrMjvCWhLLBf86xwtyQ4QdEcnKwGwW0q0AGm69jNSsfAeFhTWk2CdFjOoyzi2hAWFdSwobCDJNh+Abd3fNfTxBrQA3x/sx5ZjYWBdK01vPR+uOTjKZi40fgZFwWk7POY4R1nNuSjYJagTQgghhIhDgrr9wFGYwry/nk7mcaU48rVfkrcu+4CaH8XP4JdxdKl24LfQ3/9O3H6t778GZz0FX3ter2U3kAodeiKWaYcuo7xSTxziSCjCZLFAWj/8Si9mnvcz7evImBrogDFIBAKDAZqr/8n6Fy/B5+rFbNaWRdZt/RX9vVqyjhLPE3HH7WAaCgpOjgZPqHba+Y/E7T90wXfglzfFvNb1IFRPhnWR9dYHU+CsZ2BhFQQVvDTGvPdAUBSFKddpwei22z5k3dLn8Q948PW52XjtG7v8nPYXNgPRs3+jnBWZhvOkaZnhmczx2C2ljPjWw+wacn7XgLMiK7y/zZoePaNbetFCFMWMoiiUZT0a85kev1YCYV3LAvqd/0L1Q8cDHm3PZARFsUbdm+I42nB+SIGxhIGimLBbJjHiq9npZxNCCCGE+CKSoG4/sThtKIoStacJIHFq9KyL3ZmnHQTM9PW8DwVaZkmcYzI/+i1gDmr77o55X2tbNw9eOBW2ToWyLaSkLiQ5dzoVS37EvIt/bbzfOawFhEDSQq2p425t9gtADYYOvDbDbYkzkuht/AiAze/djCOhFIDebj2RhuKODgisaJFXZIbMVLdW/84+zcycqryoe6KecYMx+BuIlzvEpQWi9l89YsjCeaD19bzH9u4fGNrWfv851i19Pmb/0ksPpeg786LaW/+tBTfxgrr0I4uZ9buTmH7r8cx76LSo6+W/PC7mfYqiFyR3phsz5Yyd/eP/fm3IcmkxpZFs14OwaVmPAebwLJqKF5Iilo72ZDIr9z1m5r7J7LyPYo4nL/nH4eOZua9jNiVH9XH7tzDo+RCPP3ZCGSGEEEKILzIJ6vYzW3ZiVFvemTOYtLSSOX/6KgD2fCcWewomiwP8Fgb6VsD8VTB1iza7ltkFuaEC0T4rWXOOYMa3rqb0q183Pnj1AsMv1M6CUiwO/f1WWwY0FcLR78Plv2dHiz5rt+r4N+ndso7qW/+qNdSXal/nroWMbjzN7vDSS/dAE2kZi6I+l8+tBaAmUlDQZmScHAMo2NELdDvdWjKRxPQSlIhyDrPfz6PsUePsE4CveCWqqi2nHB7aRF/P24brtsmhfWvdWeBy4P3n0QTowR9K1HIgVK8+j80bfgRAX88HxsBmjITSNMN50rRMMo6eFD6fdc9Jhutx97kBjoJkksoysCRHBGoVWhmKxDHvCT/PXBRxXBp1ffYfTsb5sw/g2mXMmv501PWUiKDOaT+CBGs5Hn89QTWUcTS9V+9c2ITDOpkEazl2S3HM8UTOLiZYp8fsM6q248xxrwshhBBCfBFZdt5F7A3FbGLajYvo/aiRrrd2AFrtsITDtL1F5b88Dkd+MoqiEPS7YShZ+w+0WTWvAxJDvyyb/eC3kDp5JonZBSRmF9A+bS2uLSP6C2+8ha7r28k6NTdqLLlzTqJp2/vgs8HkOoIeYNG78N6x8PbxbL//j7BigeEeU3oA3F4CmwNw9xVw+CfYjm6Jucyvuf5eJqc/izNhPiactHIThfyWLJaSiP5cr7sFzCq91n9gIw9eeYlJifdiLy3Ckhnj7wzpHaz6+Bjt+Pg3wKX/4p+4ECreNbF6NEnmcBJqghuKG1nLCMqP7uaQq36GyeyIfu4+5HE34HE3sK32evp63g3va4tl+s1fYqSuD0uKHU/bEI4C7d972o2LSCrLMCQ3SZiUaijsvSumXnMUI/X9mBOilzoCZDvPp7H/F4C2v24se66TsuxfM+xdhcM6Neq6zaIHoCbFht1Situ3RZ9Fm7cWvvtX2DgDPj6SqsVPMuf+r2HLiJ+sZ2buW0B0UplRM3JeYmPHKfiCHXH7CCGEEEJ8UclM3QGQMjeXkh8uxJyk/ZJtz9XT9CfPyMaaFifgSBhTa82iBXXWJH15WsV9s8mMKGwOUH/bmHSWIf4hDwCJWVO0BhWYv1o7nrwd2owzO/ZDe8n5n3kEGV0CqoDXhq9JQVXV8BLMSJ6ePmwUYyGdYu7BhI0UjseCvuTU7W5CcWgzb+3cAbM2kDJZCxTMyfqP5Kz38si/txdaCuCoj7T/XMaZT2s+mKInQ8PUh74ZztIZj5dGapiDhx3j9ovH79ezjvb1vKtfWPIEKRdHP9Nkt+CsyMKRn0zqfH1jYMrc3HBAV3bDMWSfVMaMZSdE3b8zlmQ7KbNz4l5XFD15iTnON89sSibFcWzMa1azNhNoMWlf7eZSPP4GGnqvD70AmFMNKfrS4cHq8YOxBOs0EqwVca8n2uaEj9e0zKGqqTg8eyuEEEII8UUnQd0BVHHzl5m0tBKTPfbMS/mxPzc2KFBy4hLt2rmXYU41Q9BMYq4+U2JOMlN63VSmPBixbDHOhIenqw8Ad90IDGRAf6pWjHrKNhhMhqAJ6idBl/YsT8I6bJkpYPPqD3E7UOvzWfP3S5lacTvO5HlUzH4gfHmwfyVVK46ievVifN4YmToBj7sZs8O4Z8+GPmM05f4MKv6TjTnBwtCfp8GdP4l+yF8uoWCZSvH9HqpWHAXXhIquRy79Axh2snG6A29rgACDbOUMqqlgFQkE0JZIdvE33FRTzRR6iJ/sJR6Puzn2hYJWBhz/YepP/4ey67Qli/nnxKn2PkbqIXlMunC+YT/bvlSR/QxTMh7YeccYnLbDKUy5jlm52n5Ku2USKl6GvFodxVznxZRlPUpG+snhewLD3pjP2hOBoPZz3DPyDM39y+gZib1XUQghhBDii0KWXx5ACUUpJBSlxL2enDObQ854hPUvXUbAO0jOtFPImn04WbO1lO+JxVkMdvTT8O4/6Op4nmzrRSTkZdPw5JukVJQw+ZeL2PGLLQC0/LWRggv1PUxBn5/eNVo2xaDXB96Iot5pfbB9KnxyOLSEUs576iC7E+wB4/6wxmJIrSG4YRLDHTuomP0nACpm/YnamosZ7F+p3e5uYv2qs5hS8RuC/mGCqpesnK8RDPrwetrIzjqdTvSafUrEj2L6V7XZo6ZrYfBFB3CE4fvkvG85QzPXkFnZhStUH48z/wPVs2HlQijfoNWv69dnHltu72f47qNxszHctgYnmVxIN38Nt+3g62RwXtx/o1g8MWYC5y18ibUrTwEgZX4GJrODyuXnRvWbKE77wj2+V1FM5KVcGj43m4x7/orSbtDecYqPkQ/exN08iKc9/h7DXVWR/TS1nWeFz+t6rwwfZySeutfPF0IIIYQ4WMlM3WeM2ZrAIac/ROW5yyk+5ALDtaBfW27W9XwHeG10vr+Ohie12ZKB2nqGh9aH+7b+pYmh9fqywP6a2EsyAezloYBqxxS9saFU+/LuP7XldId/rLWP7vfz2ql76XG66t4BwJkyD2eyMYOjqvrZtukadmy9ifpttxIMePB6WoEgSQmzGd14lsyXY45LHVtmraSO9G97yVuija22+iL8vr7w5bS5ZdCZAzfdBCe9At7QnrKggmt1Am5vdEbMyIBuVJCRqLbxjAZ1SU6tEHxe4XewWPWAsjdySebnUKrjK+Hj/IhMluYEK7PuPomE0jQ849Ro3FVJtviBaEv/nbIcUwghhBBfWBLUHUQmnaJlyyR5MKqOHEDH+2tguj4TVXtRNX3v9jBU00vbW5/GfW7a4dFJVQDYWhaOrJT0iOVzvlAQuKWc+k/vI+DT9v4pyvgTv50d/6G16W8A2B1FTOM10jiTabxO0AXt90Dn/TD0AfQsB7+eGBNLoZv01/7KlEdtOBK12USvp426rb8K93GUaT/O05PfgTuv1mbrADqzGXk3Aa5bNu74Rq1Gm8UcfBcG3995f4+7Castm+lz/kzlkR9ROOmHAJRM1WasgoHdCxIPNmZTIrlO7TMT42fAnufEvQ+CuvFq8LUO/o5Bzwo6hx7HF4i97HdfUVU/7YMP4Q200TH0COpoPRAhhBBCiAkiQd1BJDG7AFL6QVViBnWAVgIhwrbra6n9wSZGmrREFeWXaEsALU5tiePMq79N+9AfjO85T1vCyeZybTKtuBG1fDXOY0I/Lltm6J1HEljzzPlaYKeM/+PUVHcPPV2vAmC3F5LCCUzlaVSXidWJ0HQFNFwMtcfAjiXQ83f93pJ7HUwp1wI4mz06CLVYM0mepdW8a7oq1Bg0a4XOfaH9e3dfFe4/lefGHWuAATYfB5tDlRtUAvTwOCr6bJBrZAfDgxvwuJuxO4qinpGZfTKKYsXjaRn3XftaMOihp+uNAxpsZCWdh9mURmbiGVHXHHlOvO1Deg3EvVCe9S+sphym57wQda2p/xYa+q6lrufHMe4El28LDb037tb3xRtoY8D9HgC9rpcJBAfpcT1PU/9NrG89lMa+Gxn2rt6zDyOEEEIIsY/InrqDjcMDHTlg9+htmV1akDcc2tt0yGpYM994X3cGZPaQXFZE5V1XGi6ZTE6CR66AdXNIOMLDtAcmsfYJ4K3j4dBPIbcDU/ckhqyvA8djTXfgG725uRBS+6l94xcUHLGYwf5Pqch+Hos/E8vUftau1JNlEFRg1QKorMJi1bNhNv105x878VD9WFEslM/6I5tr9H1d8xY+jz9Ulm7ovYgbO7MNz8lQL6RPWU4ixu9PJSoqKqtCf+dwe7cDhwAwwho6+D3d/I0Aw6R6TmdocB07tmiJbSzWDFLTjooas6KYsdnz6e9dQXLKISQmTcdqi67Dt6/1dr9F3dabcTiKSXTGzyi5LzmsUzmkYH3Ma/bcJNSAykhdH0lT0mP22RUjdX040hYwt6AKgMqiRgbc77Kl61sAuHzVALj92xlwv0+y/WjD7N6Gdm2Zrz/YzeSM+8ad+Ru1uXMxHr+ewTQ94TSctkpDH1+wfY8/kxBCCCHEviAzdQcZZ3GoblhXNiSMwJEroHwL5Eb8YunwUHRlqfHGLeXQlxrzmeahXFBU5ncnMvONTCwpeiFrbrsOAiaCn87UEqqk9eLzdGCfatLHMZyEqyaIwzWfyTs+onZaJjUzwGwJJYUZSoRnT4WnzoYf/QGWXUdwUP+F2r0p/udNXwyVKtgKje12uz4zlpZxHACWjPjPGZV0/5+ZzyBWCgDI4UdUos3cKCjMYA0AtZP0/YUbe75MN9qyUR9NrF91RjigA/D7erAnRM/UATgcRbhd29m66RrWVe3fZB4+bzc+Xw9uVyMAHW1P4fMeuALs8dhytOWsm657g76VLQR9Adwtgzu5y0hVVTb+9HXWLX3eMOPnsJZH9fUGmtjS9Q16Rp5GVQO4fJvod78Tvt7reoGekafx+OsIBMdfGhsZ0AH0u9+kz/3GmD71u/VZhBBCCCH2NZmpO8hkTjuSoarXtBMlYhlZTgdkd5LhWELPu/Vgc0ffvGkGqqoaZihUVcXXYcaU5sdk12P8glsCtPwsVM/sL9+H2unaDOC0LdCWh5LQqD+3Tau1VlNsN5ZT8CscMvc91jjH/Jg9fxprUrVgDcDXFvuz5lwJRXfGvjY645WafgxTyn8dbk+shJGqGDdYfOC30n63l6wL7ARGVOZnelCw4OsAbx0kHQZ2psLG6ajtEVlK3/4SnP00AB62xRyPI8byS4CR4c2Gc5+3e7/N1o0Gjc4UrdB7d+cLdHe+QOWRH4X7qKofj7sFmy0Xk9ke8zn7miNfr6u47fYPUawmVF+Q2X84GUuqY6fF1T3tQwR9+g9W27ObyD9TWwJsM+dzSEEta1qiZyRHfOvo6XqGAU90oprO4ceo672CZPsxlGc/vsufJagOM+gxbrSUoE4IIYQQE01m6g4yjpyI6ajIoE4BTCo9HS8D0PTKKzHv71iuR1CqquIZaoVeJ9Z8Yz/HNL1ANbXTta/bpmrLPL023OtiFMMLmg2ndRfApiPG/xHz1INbWzWHKVRlYVYtzGmEojsg3go5RTExb+FLTCn/NUrEXr7pH0P5O1D28pgbMrsB8G5xsOFQD+sOaSU4ZCXQbWJdLmw6HDr/7kYdtsLGGcZ7z3kK/Npn61Efizkeu6MwZntS8mzDudtVRzC472q2xTI0sMpw7hrRZ5sadtxFzZrz2FS9CXXFxQAAIABJREFUdL+OIZItKxHnjKzwuRoK0Kovf5nqy14a996A20/15S+z4apXw21DGzoNfcymROYVVFOR/RTpCV8Lt3cM/dUY0Kmh/4DhUE29sQFapO7hf+ufwVwcdX1eQTUJ1ul4/HXjfgYhhBBCiP1NgrqDjLM0n5LztBTyqRUzmX3KH5l3+t8oOfQSrYMjNEOX4IbpG3F+sw1mVYfvb7qnLnzcUPUgNa9cAX1p2AuNsza20hgvH0wBmwc+OUKbvcqPSADSEP1Lb8/j4K6O/SNmCW1189TqbXPqYU4TOMrBVrTTvCtYrGmYTFZDm2KB5GMh9SRIX3crHPaJduHOqxj9jd5ToyWZWZussFaPNWj4joO1Tnt4Vo5X9VT95IWC4brScFNW7hk4ErSi6ZHLQSNNmfYrSst+Tm7BNwHYvOFyVn9y3PgfbA/4/QNxr/0/e+8dHkd5ve/fs321q957tSVZtlxkjG0gdGx6KCZA6KHjAIYACS0JoYUkmBAggYSSQALY9BbAFGOKbWy5yE2WZBWr9y5tn98f72pnR7uSTPvkC7+5r8uXZt55592Z1VrXnD3nPM/u7ecHtrvaXwNgdKT6W7+GybAXJoQd9ww4w46PEc4KIZzOiUEXjd28AIshf+LFmjKJHb0w9DU8+0PGvL7hgA+ezVRGScpaggsbMmN+h0EXjdVYrAV1GhoaGhoaGv9ztKDue0jCghKmX7OMvLNPxWxLxGCykZBzBNboLLWASkw/Q4nPw8Eb4WylxKz5CfEQ21X3IewsgdEIDFFW1WvYDoLsUAs3eNlvoF1VCAYvBrv/vOppB3z91tng6YLeV6F6iRgr3gqG+NDeuW+CdZYM7y6FdYdCXj3ogrKLvqlFMjh2DVz+uNjuToCZOwKlpvGJJ5KV+wuKZv6DgrQn2Wa0US4R+DeGpDMQn7iUtEx1ZsznnTyYUc91UL5+MeXrF+P1joad43Q0T7YCfT2fTRr4fdcY460THtty7ssTHttz85qQscGKdtwTBIOpUStIsJ2nHpSBRvGlQ2/3RyHKmTvbDmF7yxyqO5XgN7ikcnriKnSSiTlpFSTZLyM9+lYSbSI4lDDj8jZR3pSp+qehoaGhoaGh8X+JFtR9T4nMz0BnUPciRcTmiTLMDH+/m94j9qMHILUd0oVJdtszzZQ/fw6sXAFrRDbKEheqMpJwMRjCJ1jAYQWPHnOiX80wTpQ3Mn8TTKsKnV+0B/L2Ufilk+QVgAy1pyuH6/60Hc+gh5HeOra9/jNcoz00lP+d8tVnseu9Gw/sTRlHCrcQH/tjZix6RgxEBolztEwdPeZJr8ANDyoDu5RSyvj8I9gi6dlmsIfNUo7PJo3PKLY0PjHl6wN4PUNs/VIxZ9/25dFh540ZoEuSiYSkk5kx+zmmz1CsKvbtvZntm5aq1/4/9M8zRKozwdlXKAqSssdH+VmrKT9rNc0v7KTm95/R/PwOPEMTl6mO7u8POy5JerJj72NG8vuY9dkUxP+TnCi1ZUdl+VWAulTY4+tmwLmW7mF/76RXCep0konGuodoqPkjmTF3khJ5VaAvdSJvRo/3fy9Qo6GhoaGhofH/H7Sg7gdE5txLxEaS8KTDNO6hOKde2e5IUh1K/mla2DVn1kPEfCj8IszB7ngsibHw9EWw1h94GD2Q0E3CtUGZlPmbILYPkjuQDQ70YVQqHftGGK0epr36bbyuQQZat9JVK7I0joHGr+W5JmEgh6fxtEmwdzoc9z7Yx6ku2oaEJcR1K+GQL5Xx+35JLKdROP1fmBf0KeNHfAyHr6VKOhQiB0CS6fssVNK+cmHAtz1AVu4vAtvtrc+rjnW2vUJT/SOqsYG+L9m26TjVGMMR7N/yZGB3LIPX3fE2AHMOepfs/F9hjcgjMroMqy1UHTIuQaw5OrKP8vWLaaj9Q8icb5vYhRlkXjQH9CIYij0ki8K7jgyZ1/bKHvrLW2l7tTJQemmIMmObFkfJyiUU3HoYAO6uyQNSq7GYmamfEW09ChPZIcdnJK8hL+7xkPH63utwedsCJZUF8c/Q0vgUHW2r6O0OzRpmRt8ZMgZQ27Ocpr57J73GYHr2f0b56rNwDk2gGqShoaGhoaGhMQlaUPcDQm/wG5KbXJDVAIV7ic1YRPb8K4nPOQLmBpkkv3i26lydKfxHQW+D4k1gWxh6TPr7tbB+EfSFeo91fblFZAbnb4LETjhdlNhVXbMbc4m6hDDyPPEg27tzDz0NwmTO7ehTzdny0k9wfM0H3r59O6E3Dn78Khy8QX0wpk/0H768DBqCAtvD19HRupq9G1YQeVmQ4qXLb2Zenw1DQtWx69bQPq6RL8FZqx5LTDmdeQsVE72Wxn/Q2/0RXe1vsL/uj7S3/ge3qytwvHrP9eoFemOgN47Ofe9RU3kr5esVb7yB/i8xmhJpr3qH3sb1gfH86feEXFtiypkA7N15hbj+9le/kniL29VNbdUdeDyT2xK0Nv+L2qo72LHlTDrbV5N0wjRm/P5YMi+ag95iwJxsm/T8saBu+m+OoOieo7GkRxE1U3wZUf/YJvb96QtkTxjBnvHr+LOYwezefCEx1uMpTHw95NiOyqNp3vc4DMQQbT2a1qZ/BI5t/fIYytcvZsuGI/B5neh0VhJtomzToIsjP14E3IPOT2kf+uuU1zZG3caHAWjc/q/A2HB3NQ3lf/8/NZHX0NDQ0NDQ+H6iBXU/MIqP+b0ouUxvAauD7PlXkpB7FOmzzhVZtJPeDDln1qvzplxXkoQaZcQCsP1E9G/JPRF0P6zI1VO0Gyz+gE0Cshohthcu/CdkKhYINTftgkSRTUz9wyhEi9LNzs1Kpqxl14sh17Drv9ci+zwh41Ph7PMHSu2pcOJ/keL8wUhiB5zyhnpyfBdEi4CysX4lAF0FN0LxbvW83Pqwr2U7JOh6C6FxBYxUKGPB5XqtTU9RW3U7DbX3B8Yqyk8JZN9U+CTFXB7o7wxVbTSZ02nZ+QK1G1YGxsyWdNKzlwf2I2xFWCNyQ84dGqwIGZuItpbn6O3+kO7OiZUrB/u30LL/b/R2f4jL2UJj/UMAWLOiSTpB9F8aYiwknTQd2/R4zKn2kDV6NzaBBOYkJfiTDMqfrL6NzYzUi9+VZ9AZKOF0+INBWfbQWP8wgwPlSJKBWfNeR69XXmfrxiOwmeaQFnWL8qIyMBANoxHQHxkSEPr8Jauy7GJgYDMAWbH3UpbRyOy07URbjkbCFJjv9Q0w4FhH59C/mAyzXfRqSpKexm3/RPZ5qPzoNrpq1+B29E56roaGhoaGhoaGFtT9wIiIVR7Y8xbdiN4oBCqMlhgKj7wLCmpU88u+WIQp+cD8ypJvhOKNkPvnMI12yW0Q2w+2YfX4pf8g++CrQKdkG1yuVvCKnqbWf9bgaPYrdjZmBiTnx0idsUy1X/lx+HK3yQgEdX506X7BkGWr1SWpILJ2kUNqIRWzCx6+dsrXiT4Vcv+pHut4CKrHVVCmZ10lNkas8NcrYZX6HseTlHAOhr4i9aAntJfLqFd+Lz2NSr2sRZpOhG4upWVvUFz6FHp9aIbM4z7wHjDZ51b99HgGqdh8Co5RRUWyavfykPPK1y+mvkbJHEqSROYFsym6+yhm/vl4TIkRqvl9G5sxxljQmdT9bxH5Sma48tYPqbn/M7b/TAnO6/68gb2//piWD9bT0foCPV3vYzKnYjInUlCsGB/KshvHaAOpUcspy2ikIP5f4FP/SazcMbH1g9cd2tcnSXpklKyn09NAdddP2d93G17fxEI1Y19W9DVvpKP6bRq2KNlBrSRTQ0NDQ0NDYyq0oO4HiNEqzK1j0heoxiNickUGLVI8XBY/Xfq11jeHCwLz/F5og5GQXS+2o/pJm/FTaIsXwdocf/mnxwBpLaKfLWIEd7v/Ibg9BVPdMVgiFRGTlKIfq15mpKeGvpbNUz7oyrKPfW8+zUhHE87+btUxX5zfiiG+W2Qvf/5w6ALbZ0PVNKguEPu2kYANwxjGVBnDRcIPcFpFBwWvgTkfYsfFaJ6glrv9D+8l0rUEOhLg7tvh46PgpYmDusKZj9NTuQPPyLhSR39Ql5SqlNEO91UGtus2PERv0wbcjn72ffYAI/s7GelRsk5509X9XnXVv0GWlVLGjtbVtLe8EPaaxsouO1pX0dv9ETWVN+F2d7Fr29kMD+5maGDirF9359sM9m8Neyz3utAaX3evI2Ss6B61WEz/llbV/si+Xob2dNH2d+Uz4nKJzHBExDT0eiW73Nb8LNW7V+B0tmKRpmN1qDOkHo/IBM6cuwqbXe052NH2ElPhCLI7aOj9Vdg5Pq8b14j6i4fuuo8C21Vrf8tQVyU1nz+g+h1paGhoaGhoaIyhBXU/QEpP+itly1YFFPrG0BnMJE0/CfOJNeisOsxZlq/9GnNGvFC2GZDJ+EdQdu6QzyC1DRZugLlbGdzcT8OqD4joXgIWpyhv7I8R2bDSHaBXP6S6Xp+FpBdKkVEpcxneMUrp0c8Rn314YM6+zx9g53+vZahrLxPRV11BX80O9vz7QWSvumRTztoteg6j+0WgafSI3r+UVvSLRWCkf+NiuP0euO1eGLKRNfgcMm7QBxu+S0Q+/TTIEtWzknHTxgBriFr1JPYfqa9n3zKoOcNJ53WFVJ7cAf8+D2qCbCA6w8uMWq15eIL7CzM6ARk8BuITTyQ+5hRSki8DIC56ierc2vUPqkoxaz5VArnY+COIjT+GmDhFrGTLhkNprHuIuurf0li/kqaGh9m5VQRqAMNDlbQ1/zsgGOJ2d1FbdTvDQaWblTsvZe+uK8PeyxhVu68JO26fHk/ZqmWUTZG5lHQStmlh1HYmYSw7qdNbmD3/7cB4T9e7DPRvZOeWM9i5dRmjPUL1Mm/6farzzZYM0rPEfaX5f44MV4bt14u2KKnZ1gHl/R9x7wyZC+Aa7iAkRa1CZu/Hd9LfspmqT+6aZF4oXvcIjVufxuf9bg3vNTQ0NDQ0NP63SN+XJvz58+fLmzdv/l9fhsYU1L7zLL0ba4VRucFNZH42g3uDTMobM6A5jFG3bSjQM5b+kJvmhkconPMoey+swZxlYeYLc+lv3ULNZ/erTkvPvRJTZBy25AzMMSIwGm5toL18Lb3V20NfJ6ETukTKzZoRy2jm+9hHj2Zom780TjbDSnXQYTvIyPAmN/RFg9tI5EkOBl+OwZAsY6u4jP6kJ8e/CnNxsFWaoKzVNiQ88DYfpBqetz8dn3eYbZuOIyvvZhKTf8xgxy6qPvktAAZzNCnzj6Rp42oi4+Zhjc6ko1r0tc358TNUfnQ7joHQICOY2ac+hcGk7l8L6d8LQ9miLw5oXjApaeeTnn0VblcPFeUnhaw3GbLHx5ZzXyb93Fmk/Lgo7Jzys1ZPfRHXPAImN5k5N5CUeqayviyzZcMhE54256A1bNt07ITXG/xeTHQv4fzqipPeJcJUohrrayln3+e/p/Cou7HHT6d89VkAxGYspLdpQ8gac0//Nzq9MWQ8HDveWe4PGqFs2aoDOkdDQ0NDQ0Pj/10kSSqXZXn++HEtU6fxrRI3fQ7E9AuxEY+RodoO9QTzOKsDgLRmyFCCkebrjZQtW8XeC0X/n3O/KMEz21PUaznMNH/6FnXv/IudT4sslNfloPKFP4cEdPYMoVBpT1ck/qPyp1G28FPSp1+gTJRCTa2HN4neMWL6IbGLwfUiM+kZHaC/7Ddh3wcXdZTJUNoS5uCwHXpiwaPuFWu8pw3nUA/Fxf8hNvYYgEBAB5CYfyzJaecSnXgwgx07AgEdwLbXLgoEdJM9vPe3bKaz9gN8QYIz8w5eN+H8iTCZU6eck5Yl1DUNRqUHLiX9QkDPYP9WvJ6hCc+VDDrKVi2bMKADAlm9scxedFkq0fPV1hz5KX+lbNEXRBuOZ7RR6YEbn8Uej95gw2AUZcxFs0KD9vzC+0PGQhgNzYTv6ViKT1ZKSp2eBpxD4kNi8X++U4qFgWP2QVeTXnpeyBqOgcaQsYkYC+gARvrqD/g8DQ0NDQ0Nje8XWlCn8a0SUzCLvBMvAIMIGmS3uvQx42x/n59lFAxeOOhLoYwZ2weFSk/Y0A51D5lraABTxLimtnFiIbLPh6Mn1DMOYNrpVzBn+X2k5PqzNUYX8UWih2ssw3fA6GQRiI6ZmdeH+qANU46bTgwpIYcE646AtlSVIEvn41723Pc8e9bcTMUbl+FxKUFPydI/kzpDXHtIcBuGkiVK2V9kopIZqt/0GPvLn6Dyg18GxiSdgdnz3510veEhtfpn4cy/qfbtUXNDzpEknf+nuEeDIQazJQPwUrX7mlAPvq+I1zMcEBiZ++xp5P9iMRlXq+0l5N4oAHZe8w67b3wf2auU+5aWKUqwyWk/DVk/Ll707pktoUb1FmuW8hrjDQmBgfYK2DYXukRgOGZ1AODyiODb5W1lZ9uhdHW/ht4Ygd4kev3SSs5izmn/Qm+wkDz9ZEpPfoKSJSvJP+RmAPYE/e4mw+NSixYFB3gaGhoaGhoaPyy0oE7jW8eenhcI6oKZefslxB6cI3YKatDHy6KnbiyuCVLOHN4dFNRJPnbc/SgjHc3qBb3qTJdrsI/K5/8c9pp0egN6o1kJ4BK6MJlTkGUZvdUOko9AX1O8X7Ti7P9MfJM6OXDd+Q3bSUMtPFLPeVSQBJJM/PtBRuOZ+1XziByE3wYpetbmASDLXra/fklg2BKZGgiSJgvqMmZfKOZEKpk0ky2JkqXq92W0X30dBmMUcxZ8QNGspyia9Q/mHLSGkjnPk5mzAoDKHZcq65lTMZkSmTn3JUrmPE9x6TNMK3qQ0rI3KCh6kBmlzzJ7vpJFlGWZ0rJ3KJnzImZzaID0dZBlmW2bjqWuRvSY6cwGvL4Bdu0QWS704vPnbBtC9ikl5vv/sSWwbTSJgEv0y13NzLlC+CTCJrKDGTnLmTXvVQyGqJDXt1hzSEw+DWSor/k9siyr/ORGeoVJYYznLEpTy7EYCgLHHB4hKuT0iP49x2AjRltMIPiVJF3Ac1KSJIyWGCxR6djignowD4DxpcrO4c6vdL6GhoaGhobG94dQXXQNjW+IISJSFdRl//Q4ovKyMMWKTEThU4Xs3fow3rYs6PYHKNn15Bx2FfWjn8OeGTT9WTzw2mbZGN4xDAPR7H3hYYovfgCfx4HOYGHPi/eJh3ezE0Zs7HzqbtV1WOKSiS9ZQHSOUsJniU0k94yz0UdC666XaN/rl8I3JIHOB04L/ORFaE+Czw8bd2cypLTBsE30DPpxN+pJ5EpauBUz+ThRzMpb+TXdnTXAOWLgnlvhgueUJfcWCdEYs0O8thxaFmgwR6v2x4I6ozWetJJlNGxWsmZJ004AlCwZgNmWiCUytFzS4xpS9dfp9RHY7Mp7pTfYQkzJs3J/QVyCEGQxW9Sljjq9mWhTaNZz78d3MNxdpQwkGcHkt0WQ5SlLIcPh8Qjvtt7uDwAR2G3fLO6di58CsxPp2ctwtg/h6hoJnNf9SQPZVyhl6CVzXsRgiEaSJMyWNErmPI/RX3YpSQZM5uQJr8EeNZfO8k30NG+np+sQsvJuITH5VAC8HlFi2Ve3jfz5SRj1SWTHPkBD783s676EsozGQFCH04wuduo/xUZLNNboLNyOUCuFcAx3CyGh/ENupm7jX3AOh89ia2hoaGhoaHz/0TJ1Gt86kiRReM7Phbl3fBfmZGsgoAOwF8VhtEeB0Z+Z03uIPTifyNx0iFZ7eQ0P+BUDHSJzYTInIPfb2XPXq1CbK4LHqFD/r8KfXMv0ZVeTMv9IrAmplN+wkvIbREliXNYCaj74oxLQAcT1QIxfZdLiFAEWQEqrKBVNaofUVqGUaVf3gu1/71W2r76CrL2f4Fz8LCz9b+BYa8EFcMsDwscvuQ1uvV/8HGOaP9i53R+QblwIO9VCGsXHqJUYTREicLLFTyM6RZQ9Sjojs095UhUgzT7lSVKKfhzo0RrPgfifjS89TEw5Hb0h1OduMlQBHYBTEZDpbH9lyvPHzNi9fuPv3dvPp2LzSSHHA8T0Y4lLIyItEWfbEM425fcVOStJtbbFmonBGBW0n43eEGqEHnJPPTXUffyEMrByBft/7sLVPYIsy7TtUe7L5xUBbHyEYj/hcNfh9NSL8lunGYdhJ1ubi6a0LIhJX4DHOcBAewXlq88KsUIYI7h0NyZtPhZ7iuZ3p6GhoaGh8QNGC+o0vhPsaTkiOIoYpWr1IyGlkwZzVCCbFzkrjeyySzFG+x+mU4PUReL9ptgOC8gw1Lyfqkf9qodus8ia6b2qtSOzpmNPy8EYEYmrb5Addyv9TMMdDQF1QRVGD6Vn/I3ME/zZnrF+PaMHEruwXv8pRPgzPgbl9QypMmw8GFauoP9Jf8AwEI1e9md4xoJDo0f8G9u+7Xdw5EfQH0XeohvJWXq+ci1P/Ux1aWNB3BjWqAxyD76W7LIrMFpjyVu4glkn/RWDOVI1z2COJH3WuYGsnU4vgqm8RTcCULfxL6Hvwzj0+ghSMy4lJu4IZh80ed/deCo/uiPsex0VfSgWay4M2mnc/LTqmMczIGwUxvXwATgdQiBkdGRfyLHxpGVegjk1isFdnVTfLYRgdGY9A1vbqHng8690H+Px+TxUfngrfHkQ7C4Gt5Jl2/H6cmq3qjPGrhFR9ihJkui/rMthV/uPRFDXlgKyDp+xE588jNs7eTZNZGllqteJ1xjsVN6njup3qPn8AQB2vXdDyDUPtG3DPdr7dW9bQ0NDQ0ND4/9htKBO4ztj2hmKX1nTOpEVG+1qo+b1J0WfU1wP1hI9ukgn/fsqafrkNTE5a78wMJ9XDkY36Lwiu9Oayr7H3lO/SGua6G2zicxE4uxDyF16LgC9H3dT+7vduDqHoLIQRi1U3h8+MzTvjOcxmqNIKjyGuNwfwa4go+k5Wxnt2g/H/9dvmD4ssm3xXXh6HYEAsP+zXhiyQX8UhvPeFgIwE1Dy65/CoZ9BRwq1mQcz8JEbHr9cmdAvskfxLXdSntmEu1sduMZlHYrBJDJmsZmLMJqVbFMr99LBoyGvWXTMfeQsWE50qsjuOYdaQ+aEIy3zEvIL7w3bWzYRsiwHyv/GY5TiKS59WvgVjkZQ8+U9gWxbR+tqnI79tOz/u38dpYx3T8XF+Lyh6qTBzJz3MulZVxMTdzgGu0l1zOcU72H/5nCSpGp2/+J9ys9arSrdHMM51CaM6RtyxOfktdOUg+3J9O3bAYDZnqrMx589a00TAjlA7+hbYg0IfMHhDDIrD8d4OwpvUEaucdsz9LdsRvZ5At6GeYt/ASiKmeP77DQ0NDQ0NDR+GGhBncZ3RlSWYh9giRNZrP0frqa/dhfebh24jYwO1NNfv5O6/z5Hx7ZPmXHTecTOmSYMzE1uEbD59OJhOFjt0m2Amnzw6EnMXwIxfRg++gnez2djtIngo/a2KobX+2D3DOiLhQa/SuUHR8O20oCaJICkU0RXpKqg8sdFX8A0Ya2AyQ0n/BcK94rtiFGRJXSboCNRlNL1xsFANM4tEar3wnKl38ssuo/sx81YjHlY2hQftJ6fLhVrj/HBEiKTZtP9xxgAup5TKxkG46aDei7CixCXaeE2GlkeMs8alUF89o/Q6ZVgZ//WpyZc95vgcar7vqJTyyg6+l7sCcV0N3xC574PAsf6GxT7idYmtX2Ay6lWbOzqfCvs68XEHU5m7o2YzamkpJ+HJOmRDOo/b9N/rRjYj3SpA+6u2g8pX30WXo+DqrvXMbpfXH/Tv0K9Dp2D7bB9TtjrYEgJuqYffgcAjqE2ehvXq4Rv8Elqy4NYkUFzeuvDr+snKrlUfS1D7XTXr6Wr9sPA2O73bwpsj5XnFh75OwBG+uomXV9DQ0NDQ0Pj+4kW1Gl8p2QeKfq5XAO9eByjDLWIh0p3hwc6QkUodr9wHwPDG8MvVlMADn8/Vk+sMBHffBAW1zxwWPB0++j5byeVl++gfPF65Ty/qTl9sTBihR2l8PHRDL6QRrz1HAoOu5V9t+2lfPF6mv+2n+7XgvqUMsYpbgJkNyjbY4Gm0wIDQZmsoaBSyDvuwnHlVdCYCTtnkXBCIrIs49gaRhzjAyGjz+eLGFwVJJCiD50K4KadCpLp5p/UcyEOqgPHqjgm/EmAJVL0ynXWvDtlH9fXYXz/Vta8n2GLK8BojQOgadsz6hN8arEUnyz60JwOtZl6Y92fAEhMOZPM3Bspnf82cQlLyMm/DV1DIeU3rKT1/Q3IskzyKYWB84ruPRr7jET0UeI933P1BlpW7Qocbyh/HID95U8yWKGUQPZuaMLnUrKksuyj9sO/h79pyQfV00EGe0IxRms8OoMV51AbtRtWque2pgrLAxAiOTqhnNnQezM+eRSvd5Sm+kfwekUw7/UNUN6Uw7C7IvBlhCUqE8dQG/WbHgtcP4BjUHxmjdb4gEm5LV75gqXqk98xOoVJvYaGhoaGhsb3Cy2o0/hOSZpzKFE5RfTX7aZ1w3tTnwB4nUpWKuecJSSe4Q/+uhOgsgirYRZ0KgFh472NsElRNBzeObGpNRWzA5tDH+rp+UMKUQml9H0sevfa/qUEcQV/KqLonOuVcy2j4qfRAyf5Pc5ig3qUBsOUJ2Y2CA++MREWoPudDkZ2D4l1DvpSmduRCIVBoiJv/Diw6WpSl1+OsRPlYb2PV9kVtD/Ih8iEWksA5C1aoczr2Bl2zjdhLKjLKruc2MzFgWBuqKsy/AlD6rJCl7OVoYHtdLa/CkBx6T9Vx9MyLyUp5QyMxlhyp/0avcFOw4trAGh5dz2ewWGMUeaAObmtIA6f14nxmD2BNVpf2k3939fTusXfK9gVT8+6+pBL616nBPHDPTXIAyIw1EUEBaI5dSD7/5y2pDHUtUcoatpT6Nz3fuj97le8DQ36RBiOENlnGbZWHMLuHT+lvfU/1O69DYC9nWcAXvZ2nooj5WPmnfkfLFHpk4qflCz5U2BbkiT8q1GLAAAgAElEQVR0fpuEwY4d7H7vBtoqXxf3V7+Wui8foeaz39PbKL4McY/20lH9DnVfPkJ3/Sdh1+9t2sBIX0PYYxoaGhoaGhr/t2hBncZ3zkC9eJDv2LruwE+K78IQZSSurIjUCzOUcYeV0c9s6iBgMBLKDwq/jjR5Fkp2w7aTwwtnRC+KxRov7AMs8SnMu/wR5aDFATG9cMhUohs60HmgPRk2zSdh+Cbq795H5WX+QMrgFSqhAMkdRLEkzBJeuv49rPJBa+RGBvkYH6HKn8H0EN5rzxqtmGePiW58mziG2gCJ+JwjyFt4fUCsJaP4Z9Abo0yM6/afYAev8ufI5Wxl766r6OsRAYU1Qm0qPlV/X//uOgb3iWyUz+ehu/4TWna+gMO7SzWve00TLU/Ui52Pj4JNC0LWGqxoZ3BPJ47mAdpeqIV1oowzd3mQ4uZBmyHDX9L5xSHoPj6Rni8asdiTISgTmlbyk5D1PRG10BMvPiN9MTBiwTUqgrWB/i8Zdm1l1K0Ew72jb9E7+qZf0TJ8X2T2/KvQGyOQZTdN/fcx6NxI3iK1eErzjn8z3F1N/abH6GlYR39rObUbViLLPireuoLGbc/Q07CO+k2Pqj57ICwbatc/yJ41N6GhoaGhoaHxv+c7C+okSfqNJEnNkiRt8/87IejYryRJqpEkaa8kSWGeYjV+SGT86BTVfkKp8jCcuvA4Mn50CpJ+XH1hxCjTrj4NSafDEG+ceHGdV1GYBMitVR/PG7cfBl9/aBlk0jIRzOmMJspWPEjJBTcj6fWUrXiQucvvF71+x34A2fsxP/wo+rzuwLkxl3Up1wbwp5vgzJfhuodJbPq16nXy/2MX3nd+Ej9/Hlafob4YjwH6o2hf6UGWYZBP6eBBqjhqwnuajgiG6rlwwjmlJ09QRvgt4OhtQ9+TT/fG3Srz77pHP4XKYqjJxzJSxrwj/b11Lj2m4VlIOjM5BXeErCdJOuIsP4GafNIzfg6AZ8RBy7tfIHt9eJ1u1fyGVR8EVFLb975B/aZH6ah+J+CPp6InHjaqg7lp9y9g3ouizLF3QxNVv17LrhXv0f/JYGBOZEliYNtgiiT5HOXLB19XBHUPbUBvUcpwM0rPF/YS/VEiMwfii4G2FFF+KuvUZbt+KjtOCRnz+PonNaHv8jxD3+ga9vfdQfvgY1R1nkl0yhwknfr/UuVHt4Wcu+Wls0PGxko6x6jb+HBg2zXaM+F1aGhoaGhoaPzf8F2bj6+UZfmPwQOSJM0AzgZKgDTgA0mSpsuyHL6+TON7T9K8wwPqlwBZR55GV8UXpCw4hrRFSwFILjtiwvMnMqdOWm6i4xG1OXbAsy6hE7oSiT08jd59QPFukQVpTYP4LlHKOY6S1bPYtUwoF2auyJ3wesYCvfK//Bw8RqJi5tFZGx84nn/nHNpPX0vT5eaQc4cq1Jk1e1o+XPkLuOYxAPbduBd0DykTEjpg2zwAmm8EOaeSltN/pFojg5XEcxHbiQUgh2cxUxA47sOBDgsybkbZQwRCbMNoiSY2Y+F3UkI3+IUDb3si+/d+SO+2KtJPOARrepBHXGcSjk7omr4jMOQa6KZsyccMDe4IsyL0POsD5tHd6iblZth++1/FARkip4vMY865S6n/j2K94BkaxTWsFlvBOgLWURHMjRFUDglQvelmyvJenPQe9VYjZauW+ffEz5HStQxWdAbmdLW8CoisssHi75F83/891nHvgcsAr58Gac3wk1XhX8gnBXruxnB5W4myKSXHM4//C2Z7MuVb5sG+Aob1n7Kv+yP1MrKT1OLTaNk1wetMwu73bmDOj59Bb4zAOdzBYIeS8RxoryA2fQF6Y8QkK2hoaGhoaGh8l/wvyi9PBV6QZdkpy3IdUAOE1jxp/GAIDsrmXvsAkk7PvOv+QNri4w94jXmfLiTpLH9m4pTX4fSXyTy3TD0poROsDjh4AxTsY9b7JaScWUDxW2mw5D0R0AFR0wvEnMz9yrnzN1H34uvMW3cw8z5deEDXNPealehMFjq3rRcm5UD2n0RglTzzCOauDS0J7d/Qp9o3mCKYe9VDkO9X2Bwz5o7uA6dJiMEE0XLvIGokkrkeAzHYEBnQeM7DSGpghpN9uGikm2fZw1xcKFkXs7+Eb8wg+9vC26l8XzRY3Ujln19gtKUzZJ6zU/1+jPTWYTIpGajZ899l3sLP6K+sD4w52rpxdCi9jIP7mgJZOUtyrGq9vY+txjmk9n7LuiMdjvooNKs7xqGfBoKolNOKJrnLUMbKTAOMBgU6Jh+daxQhG95folgatKTDoL+kWO+B9Cai00Uwj0f02qXb7mJW4mZM+iwGHZ+is4qyzrSZZ2O2+3tMkzph4fqwGckh55ekFJ/BvDOeZ+7p//5K9wWw613Rh7nzneX4PKOB8YZNj7HttYvwehxfeU0NDQ0NDQ2Nb4fvOqhbLklShSRJT0mSNPa0lQ4E64k3+cc0fsDMvuoeZl32a3R68bAv6fQTZuDCIeklMn6eQ9GqAjC7QC8eaOeuPZgZz87GdPh+yPebUktgjIlkx38vZc+am6jb9DBIYEgTyeDIeVHMufdq0pYpoikYvIw0dSAjI+kP7Lp0OgOWWH/QdfYLpP+jg+iTlIyKzhSaCB9Y3xcyppNM2Bf55zpEKak1LxY6k6ApUz05pHdQeb3pfMQchBS/hEQBwiKhnkvYQRa97rdhMILhvn34/M/fY9mV+i//gs/nQfaFF1aZCq/Dhc8tzvW4hkCSQ+ZUPvR8yJjP7WHu6c8F9vd8cAttu99k1tw3KSl+BYMxCknS4WhXl/g5OnowxYq+uqHaoCA1PgbJqLzvjrZuBjuVrFJ22RUk5B/NzBMfhXlb1IE9EHFKi7DTQHjtpZ09U3Ucyyic8DZznz2NcETOGqfouuonkNpC9qEXUV9/K40bx70HYwqYAL2xWCOmUTLjJZBk+j3viHGPAfoTaa78Ozu2nIbLs58R9w729p8I8zeRXCgEdbw+f8A/7uNrNRYDUN11Lm5fO0ig0xuZseTBwJzZpz5F6clPhNyP3mTHZBP35Hb04naEfn4Dt/LqBareO49zENdI13eirqqhoaGhoaGh5hsFdZIkfSBJ0s4w/04F/grkA3OAVmBMii3cE3PoE6BY/3JJkjZLkrS5szP0W36N7w8GixWTPXrqiZMg6SUi0kXZpMUvYKIz6bDmRzDj1z9m5h0XB+aW3HR+YHvMeLn4mVIK/lhE8rlp6K1mUs8sIvf3mVhOUMoPd/z2q/WZjbT7v5/QyTTvfo6Kx+9kuFVZb86HC0hfnk3BH5WMjzHBSOHjMyl9S8k05t7vD94cFuiOY/TNcd9zJAaVEK5fEMjKBaPDjB5FQMSGCABHEAqbAwfdCVGD1Mb+iK1WMcccKbKXfc2bqHjzCnavueUr3T/AaHs32259lK23/AXwK1/qfJiSbGHnT7/qTIpvOBe9zYKzux+d3kTxMYopdmfNuzQ+/wW77nqe7k27AfCOiCg08wzRR7jvqTdw9YaKxBgiLJTeeSmlv71cGNdHijmS3kTBYbeSkHe0UKW0JTL7tCeZduMSCh9YjDVXfDYLTr2UmDTxvrVVvhb6xYPZiSFWj84cvnI9+aTpFN51JEX3K5546H001PvFaHSusOcB8PKZFOQ9xq5LNsKHRwcMyfEY0I0G/d/xBvWfGj345D68vgG2tcwAICVyOSXJiihRgu2cwPaO1oOoaBX3Z/Gbo9vipmEw2TFaYph10t8oPPIuSo5/mNKTn2Dm8Q+rjO33fPDLwPaYsXkwLbtEyapzuIPtb/yMHW9fzfY3Lpv4njU0NDQ0NDS+Fb5RUCfL8jGyLM8M8+91WZbbZVn2yuJr2r+jlFg2AcHphwygZYL1n5Bleb4sy/MTExPDTdH4/xmSJDHj/F9QuOwa1bjeYsYcp6gqbnvr/PGnYrJHEb04VvWgHndYBraCuMC+Z3g05LyvSuULf1auy6on5dw0ohcrZYE+pw/7rEiMcYoJuDHN/6Ben6vqhwuQUw9RfkPvxRvRP3APlnO3Yj5nEzU3h7cJ0BOHLijIY/ts1XFPH4EAJjJpJl7XYCAAHk/5S2fTuP1fYY+NNCrljZ5hB5V3vwluE/bcVGbedjE5P12qmm8vyCAiI5moaVk4u0XmxzKmxuk0wfpF9O0Q5aj1z79H+Q0rcXT1YYqLInGx2nw7mLHMncFmpeLdi4UIiT/zGZU0k+gUtWG4wWQnKm0m9px0Cn97FEX3HY0x0oY9UWS2umqFiIv+xC9gVgUA5vQIkeWbAEknYS9KwJYX1D/4vmIyT1+MCNBnKn2D0fOUUtkdP/Nn5945Uemj64/B53EG5mTaf696TYennrqe65T1LEdhMeaSbL8CEJm6GOsJwuz8hgfxXP8r6h7eyNYrn8Myb5SCw25V3kNrHPaEIiz2FIyWGAwmO9Zo5c+1O0gUJSImtO+0s0bYloz2KxlQr2t8ybCGhoaGhobGt813qX6ZGrR7GjBmhvUGcLYkSWZJknKBacCX48/X0JgIa0IaBmv4LJC+bB/M3vaV1ss87Uj0NkVBs+65/x7wubOv/B0JsxYRlV049WQ/1vxQQYnghJCzSsnE2A+D9Nf3EnOqDn2horA5cMsRODcm4Kx30/9ZL+GQkNDjf598oQly5z4RJMdkLGSgfXtgfHy5nMc1DLKPjqq3GOzcw9ZXL8Dt6FeODymB8PY7/hrYNtqjMcfHEF9WTOldV6C3Wcg557hAUG1OiMHZPUDTG+uoefw1cdI4v7rAtXb1YU6IQZIk7HlKFrPkFkXds/BaYRfQUO4vI7SOgttEZMIcchb8POy6Y+gtBmz5IrhPmiaEem1xIrj2RjRD0V6izhyh+Jc/QW+wTLhOWHb5SzgHIkUPncfAnFtvwVQi/BgjZyZhiA4V1eGGB2HlipBhyWsm2X55YH9v56n0Oz4I7JsNOQCkRd9EXvwT2E0Hkxq5HF45PTCn57P9yH0ROIzbMZjC/18aI3POxeQfcrNqLPfgazHbEik+9gESC5aSPf9KALzuYfZ+fCf7Pn8gMNdgiUFDQ0NDQ0Pju+W77Kl7QJKkHZIkVQBHAisAZFneBawCdgPvAtdoypca3xZeUwdEKEHG3NOfIyH3aPIXT+ynpTcbmXX7pYH9ni1K5svn9rD3kVUM1TWHOxWD1Ub2McsoOO0yso46A71ZPPCP9/UCKH66lLjjE8m7e3rIMYCcf4aOFa6DlFMKyb9tPkX/yVIdk7vtgVI8R1P4DKOMDC5joAcxGKdfm0U3TubeNdKlnjesZOKq1v4an8dBxZuXsevdFQx27sbRFT6oTFuilIga7RHM+d1VxB9UEhgzx0WBz0f72nIGqxtFJskd3r5ipLEdS4IIDuLnizLDmJn5WJLjyD77OJKPmo8pWgSEYxk2zCK7lTH9sikDl2AkSYfBEkNv03rKV58VGJ921oXoLQcuGDzrbycpO24D1OaJ7d449AYbM2+7gMxL5pK4tABr1iSlyf6AvGjWk0iSCedoExkxd5Ad+6ew0w06UaKsk8zEWo8X5aaGbCifHzq5P5oh5+TfqekMZmLS5mOJEhk7sy2ZuKxDAYiIySFr7iUk5Cr2GsEG88mFp+J1DiL7tD/xGhoaGhoa3yXfWVAny/L5sizPkmW5VJblU2RZbg06do8sy/myLBfKsnzgaRENjSmYseRBJJ0RSW+i6Oh70elNZM+/gpj0CczJ/ejNRoquU/y5nD397Pr9P9l6y18Yqm2m/oU1k54vSToSZx9C6kIhV+8ZHQ6ZE1FoI/eOAlXZZTDxF6j3Cz9T75tz9JCseNrRHwPNoieu+TG14McYBmJhT7GynzMCneKhPxDUjcs8OYeU15BlmcqgPqoA3XE43s+i5pV/4WjvEjYBwVhd6AyTB0B6izo7ZRs8lqjYxaLscOH6kPnGGOHhpreK909nFgFgwoISMk46TLlHswiQYvJFqWb7J+U0vzXuzZwCzySCIAeKKc4a2Da/v5zUVFEOmfEr8f5LBh1JSwvQGXTkXacoriYcm6daJy/tz+ROuwubvRizJR2nQ5iqJ9jOUs2zGkvIiX0okAkdHNhG+fpDKb/nNvo3j7N1GKMrgb2dZ7Cz9VAcnrpJ72dMVCd3UWj2EAjJ5gFY7CnIspf9W5+kfPVZ9DaG/l41NDQ0NDQ0vjn/C0sDDY3vDGtUBvPO+DfzTn8uUD53oERkKMqFO+9+KkRx8UAwx/gDpv6ukGNet5M9TzxF7469NL7+iUqWf4y0u8TPpOvAfoj6mGSQwOhRB3YtGaIHbc0A3tHQbEgeLxNdrzyEz9odgTUhEymtKxDUpc38CQZLDClFQkUxOKjzOIPESLriocPf21olyk19e5MZbW+HiBGhJJnnVyAtDu81F0x0iTp4iUjNQHLZsCQlCDmlkp3oo5TAUNKLP1fRM/JIPGQ2GScfxnhkWcbndZFYsJScwy4BoGfzHto/KUf2HbgKY+7B16n2ZxwXPis2FVmXCVsCZ5VE63+EnUHy3CND5hmilAA38dh8EpcWkLNctCHrh7OISzgGALMlnb7edQwPhfZRxlpPJM56Oo3/3MZwYxtVu64GhxG2z6Hu0c/DX+C7S+HjI3BWGmnq++2k95K74BqSpp1IRExO2OMxaepMoM5gDQSCY9nT2g0raa96a9LX0dDQ0NDQ0PjqaEGdhoYfSa+j5FcXT3A0rEBrCBZ/ULf3hYcZbNqnOrbtL79ipLKf2qffoeOTLey6/xnaPtrEQFWQ+fdYDDOZq4LRo4imBBafQ8+7oQqxVoqJrLkIgNk9oLMihFgKagNBndEcxeyTnyBt5tlIOqMqqAveNvTMgOZ0LOZpqtfwDvnA4iDpiFJI7oBF68lceN4kNyDQGQ0kHSbES8yJMfTvrqV/5z6MkREk5B0DUYN4iz7HlptKRFYKCQtmBs7LOuMojFGh/Xce5wA+zygWewp6qxmDXWTLZK8PV9+BC3bEZi4iNlOUj6bOOFMlFvJViDsse+pJforvP4a4H2VjzYwi65K5RM4QAbSzbSgwx2AQYjCVOy7B6x0h1v1T8Io/45JkZLSxn463q6m88VNxQr+/rNPvl5d9RRnRPwv6nNTlwZunwF+vpt/x4aTXZ7ankDnnwlAvvgnmlixdSVTq3JBjTRMI7mhoaGhoaGh8fbSgTkMjCEtieFEHZ2cfW3/5F2Tv5L1Bpqj4wHbVakUl0ed2qaXo/TS/9RnVf3slsJ9wMdgOhqTrw69vu7AafbIHEjshOiiL5jHSF0Ywpe0P0ORXnjf4BTjN5CMX7MBRo85cSZIOsz0FR5igbsaSlfiGJXBacKxNCL0wr57IJKVfLrjHajIyTzuSsgdXYI6LxtUj7mewujGQNUTvI+ZYC8XXn4PBNrVAydj1mu3C8sKcoPw+nV0HXlIpSTryFl5P2bJVpJWcNfUJE6C3GFT9cpJx4j+5EXmx5C5fEMhIGuOsSAadKqgLZtuXx9Dbtg778InYTHOJjzgdV2dQ4Coj1DbH0MkY53STdtixcPdtoQv6JHzyN1N/zVnwc+KyDmXm8Q9jssahN1iITA5VLB0daPpGr6OhoaGhoaGhRgvqNDTGEVWUE9ie96friZwmsjQ+l4fOzysmPTdcH1nL+vfoqdomTKSnwJgC0z/3MOLcHiK24uzrYjj+TbxLn4OkThhXTTjwWT+yR6bvsx68w15Gd0BzaJsTPgagoAZPm47+d9THzPZknEOKMIoIkiT0UhQ+hxtkCZ3Z3xOoV64vfmEJZrsieKvTh+8bnIiBvUq2MmvZ0ZgilMDR9xUM0b+toO7bZMYfjwu7PRWSTsIQaaLj7arAWFLKspB5XvcwRUlv4B3UU/uXLwLj+qEc0qKCfAd1HmqqrmPP9guhO4GMn5WoF3rpTLY2T8ft7ebrEp99GLkHX6sam/6j27FEZZIx+wLSZoq+1d3v3cBIX0O4JTQ0NDQ0NDS+BlpQp6ExjoLLRJYo9biFSJJE8hGKSXjnhh2MtoT2ywUz67I7A9vDbQ20bniPhvdfmDSo6yzfSvWrT+Aa7GP7X++g9u1/0r1rY+C4e2SIhg9fEjt2f+bGNu5nWyr7/1DLvpv3sv8PteyewNItnosgSmTFak6E4NjRYk/BMdCIzytMsp3D7Zhsibh7FOEXn9OFPT+DtNPnBcbsGRmY7aInMXPuJRPe50SknaA0ECYuKkWSdJQtW4XeaMPj6GOkrx6PK3zGKpi+lk0AmGzCJ84cHxzU9Yc95+vi6YORbeBqBEcNDK6DiXR8y1Yto2zVMiypkYGxsfPG8I3A8Eb1ee5eB7JXZrhG9HdG2AtJSVcr6oyOVNPR+gq7rn4feVT5k+596lR1ls+jVhbtcj2nfrENi2DTfCpa1X5+3wYlS/5E8vSTAj12AHvWTKxIq6GhoaGhofHV0II6DY1xSJJE2YMrSFu6CIDo4lzm/UnUQzrautn9x2dxD0wcYJjsMaQtPh6AyucVI/IxI2wyGiHT/y9WPKzv//daBuor2fGPu/C5hRR/w5pVgPCNq3j8Tgb3+zM2JhFwEd8DGU0Yj/KrFo5a6XpTqBwOf6nO8lmPVERfbCzAcoiy3/+mMm9Mer5u48PikofaMNtTQrJcQ/uaiC1QzMxNtiR0ehNly1aRVKA2Gz8QUo9ZQNmDKyh7UK2saLYn09e8iT1rbmb765fgcQ3jGGwJu4Ysy/Q1C3l+nU4E0LbsFCSDHoPdSvu6LVOWz34VdhXBnrmwIwt2TYOqw6HpAOIUTzcMroX9V0FtUGVn9YlQuRCcQSKUhhjxmam89cNA5jY968qQNRs/fCX0SwNZwtk+hD7CH8wZXerDMWGEgJ4/FwZFr6KzYxif88CzpAeCPV7t5+ga6WagvYKhbvHZdjsHcAeL82hoaGhoaGgcEFpQp6FxAEiSWrmk4jd/n3S+LXWcQIZMQKxCb1Gk7jG61XPGIcs+mta9qR4cu5TIQTjkU3zZO8W+xxBYw/lfvxeeQYa0ZkarR/C5ZDx9ombTOseHdJRQROxfozzsRybPAoTXmMc1jHOoTWTvuvpU4i2R07OEzxxAYgeWSKX08ttkpLcWt0PpFdz++sXsevd6Me4cwOMaxud143EOMNS5K+T86KIc5tx9lTBI98lUPfbSt3JdPid42kPHO1ZOfe72BKg6EvrfA0cluDvBWQ9Da8XxPUpimKK7ld7EzvcV4Z05B42z2AjunTt8LaQ3oYuUGdrTRczB6ST8ugWufiwwxWzJxBQX3rtPevQGZJ/MzuXvUPPHdVPf0FcgIjaXxHylBHXH21dRve5u9n50O66RLireuJSKNy5F/golt+APBh3hM7Fe9wg+rzvsMQ0NDQ0NjR8KWlCnofE18TpcEx6LyhpnMB6URSm9PEg63uyCCH9po0/931HSG2j5/B06tnwSGEuYJfzMkn47BCW7ILUVr64DJFm8hkcfUEMUJ7QJ3zeg7toets9qQZZlTL4C5NeEp17XIyactWL6mCy9xznA9tcvxusawmRLZrS9C2O0ojY57bLTkPR6Zv3mUmb+/EZVD9y3idEaH3Z8zwe/pOKNS9n++sVUfngr29+4lKpPhB9E7kK1yozOpJQdDtW1IPvkr2RvEI76C6aeI8sgB8UmshucwYKoHpBHoSIJduYqw95epSTWnKQEXsN7lV43vcFGadmbpGVe5j8o5klmL4UXXAMJXfgGxOdA9spkzbiG0oNeD5wfYZuO01nPzEdOYNbjx1P65CmknS3UReWOGBytftGa7d3IE9WUfk0y515CdOq8kPEdb18d2N79/k1fKbCreONSKt68LFA2HEzlR7fTvPP5r3exGhoaGhoa3xO0oE5D4wCx52eo9rfd+ihdG3ZOOD9xtr9PzG2ANpHJyrvgRHQGA+mHngSAzmgSHm+gCvxSFhyD7PXQtumjwJgpOp7sY86i+LwbiS+ZDVGDIijU+0CWYDAKiy0XvjxYuQiD8kDe97ZQNvR0+ei75ihYomR7RvdObNnQsaqJvm3VuPuGKLnzQkrvuiKg0GiKisRs/24COoCio++Zcs5ov1pwwxoVaj8w575rAtvVj7/M1lv+8o2uq3fVxMc8/qrGtnthixF8o+BuhS0mRYl0KoIzfqX/OAUAnUVdXmk0xZOSfiGZ+oegXATjpX87HXvkDOLTjw3MM6fYkSQDRlMCs8pep7TsLWSfG5ezlSHpU3ZUHkf34Muknq6Y1O9e8X5g2+UNX+76dZEkHfmLJ69TdQw2s+Xlcxntb5xyPa/HEdje+sp5DLQrHok+jxPHQBMjvZMbq2toaGhoaHzf0YI6DY0DJP+Sk8k8TW0c3fH5tpB5sk9m9x+eJcJeiKF/WiCgA4jIEqqMEUnpACSWLgaDPyPRIYRGLPEp2NNyxJhXB42Z0JiJa2cEnV9UsOe+VYpxudmpem3HJ4mB7dTfh5enr1veg3O7X7CicA8A3Q3vBY7nHnwtlM+DelFC6u5VHpqJ6cJoV8QuvmtM1rjAtiVMsDaexIKlYT3l9GYTqceJYHewuhHZ62OweuqAYbStm/IbVlJ+w0qc3UpfYeQx6nkJl0Piz8X2WDau5Xbxc2sEVKSJ7b7XpnxJANqDgjqj35i864NavA519kqSdDT+UQlq919qonIhRKQoX0AEB2smUyJGUxw6g8js1deI7GZHywsTXsvO1sU09P7ywC78AJF0erLKLp9y3nB31ZRzXMMdqv3qdb8DYN/nf6Di7asAtd+ihoaGhobGDxEtqNPQOEAMVgtJh80h9/wTsKaL4Gm0WW34PVTXzJabHmK0tYvBmiY8Aw7V8bE+tMis6eQe/1PSFh9P4fnLldfonUb6/NMwRyfAiBVa0lXn739JGEQ3vCiybJElIkjkR2tDrrf1mdqw9zH4RVAgGNcDeg99a/vY8suHKb9hJREx08Flhta0QGAHwMVP4USRa5TxUY5E+f/Rn5Gx0n4BraQAACAASURBVFCDOTrs8eTpJ5M1ifJmVFGuar/to02Tvl79i2vY/YBilD1QtT+w7ayF2LNh2ocwsw6yH4fEK/zHaqBxAp/BMayzwo/HnSt++ibwSXe2DeFsH2L75W9Sc/9n1D+m3IMhykzvC0JBU67KI2f5Aua9cCaSLtTJPjs31OtiZCvoPj4VHGb1gfWL6Br+9+Q39DWIzRBCRMFWGONxOtuoaJnPiGvijPju98OnP/taNuH1K6a6R7vDlmZqaGhoaGj8UNCCOg2Nr0jc3EJm3HheYD/YY635nS8CYiWDNWqD5eKgcyRJIq6oDJ3BiD01C71VPEh7hhx0rKtgzwOroHviskafUwg/GCNtkNYM+WECOH8vHce+H3rM53/QN7sguh82z0d2iVJNV2tQhm9vIVRNg8R2mLlTFdT1MlaDKLOFcYHAt8j0I37DtMPvJLX4dDJmX8Csk/6K0RJLXNahJBUcH5iXMfv8SdcxJ6iDweDf23i6Nuyge6M6kBh7z0cqwFUrPAWjjgJzjn/9PPHTWQMdf2ZSzNNAF6RTknonzO6CzEfEviFZPT/nmoMAaP53Bd3rGvD0Oejf0kr32vrAnOm/U0RVmq7TUX9kdtiADkCnV/++3O4u9swDX5cJdsyE3Fo45DNx8CXhjefxhZrbfxMMJht6UyRmewppM88hMf84MuZcxIwlDwbmtO18HbevnT0dx9Mx9EzIGhPZXOz54FchY7UbHmLvx3dStfa3uEbDKH9qaGhoaGh8j9GCOg2Nr4k9T2TRqh9/Ba8zVF3P3aekWxIPnUNEemLInDFSj1uo7MgyPpd6veiSvLDnjXa1ip66yKDUjnUEkltFj57OC5XF2E8aVqlX0pwB5lFw+h/u92cKkRWg/sWgIHBvIfTEi8DvwRtolK9jkI+p4cfUcY5yybjYRTHjGeZL9rMcOZy05wESmTiDqKSZ6AxmkqefhE5noPTkx8k9+Foy515MdGoZydNPnnIdg80a0hfp84QX42hY9UFgOyIzGb3VjLOrD58L9vidHNzj1C91VjBmqL3nwpG3GpJvgMyHIO13YP8RpP4GDPFgiIXkm8FVr/a8izlIfNYGtrfTumofbDgYnIrBe/aV8zHo7OoX8sHIlomvI7fgN2LDaYKbf68cqM+DM1+CI4RAj25aq5jm+fbNwjNnn09K4SmkFp9G1rxLSZ52AtaoDHIX3aBM8gv/NPbdEXK+c0j5JWTMviCQ9Rvp3Rcyt79lM0NdlQx27qKj+p1v+U40NDQ0NDT+t2hBnYbG16TgZ6cGtrf96hG23fYYQ/uaQuZFz8gl89TDJ13LnKBI0o/v9UpcXErehScCkBG0TvKR88k/2V9umNAFqS1gdgj/uohREdT5+/WGtvdQvCaWiLOCMno108FlEoGd2wzVBQC4+8JkP567AF4+E+69lSqOop/XQ6Y4qMRBtWqsmqV08ihuvl2xjWAKDr1lyiwdiOxo4TXLKHtwBVGFoqzU1R3qidb2oboss3jFuZgTYnB296vMwTPD2BeYC2Ak6PRpayDldmW/TIbYM8F+CCRcCqm3Q+EnEOyYYS4A2QWuoI+SPsIoSmFbU+DVE6AxC6oUhVW9zcieuaHXE2yPMIZ3UJSHRlv81gKb58Nnh6kneYwwEkF0WQrG0RwA2gcfD13sGxKfcwSRSSUh45GpBRDnV/vsUjLWbQOPMuISQiiy/P+xd97hcVRXH35n+6r3Xm1ZsmXLTRgwzRgMmBK6TSd008EOkPARCMGBUE0n1ABJIMQkdGPAtFCMA8hNlmzLsiSr9y5t3/n+uKudHe2uLGOTUOZ9Hj2auW3urFbSnD3n/I7Mto+ERy4x/whSC0+gaP7vg9ZKm3zKd9qb2zlEw8YXVEIsGhoaGhoaP1Q0o05D4zsyEjI5gsfmCDlu4kUn+dUiw2FODM4Ty128gNIVS8k5/Uh0BgOlK5aSOm82BZecRPJB08n6xaGY43yS/5FDcOY/ILlTnLtMwmAzKJ6orRduZti+WX2RtjRFdfO942BbkVDrBDhhVH08gFUnBDXloeSdVaGEAMrIeBAhew6CPSf/S9KPEflc2x77B4M1TfRWiP3JskzTqi/84yZdcRogjG57Zy+uFmUN46gQSQBzLtiF9gwTX4eYBZC5HFJ/DfnjTEuzCNua7r8pbZ4h4Jv9hfHl8f18GhRBmM7lGf69Tf4WIuaEX3/nqSI8tONPkJ51CYmmc5TOks3CuzsQBS+ejy5Wh6PRAZ8cTo/tHf+wQce39NreG98NfQd2dl0MGb4PAmom+tub+u9me8dpDDi+YnvT2f72nJkXAmC0xBGTpli3M09+kcwSxaM8gsveG9Q2mtZtb9C+4102vn4+w711OIba6dgZIpRZQ0NDQ0PjB4Bm1Glo7AVZJx4Wsj1+VhEAEVkpYfOaAgn01I0QO3ViiJEQWzyBnNOP9J+nlh6uhFYWblcGyjqVUQdAb7zw6AUSF/CAWz4dtk6GOf+BnjjFgAgkoA5eCsuI5VgkX06dFcXrYmer/zgwF++HgMX3enuG7Gx/bCU7n3sL2ePBPTjsHzPp8lOJmZQDiJ+Ps6uf2jNEX2oYRf6hMuXYXKAcZ92tiKDsjpF5zb8Vte06n4Xm20JdLIqkBRNIOXw6/auUn0nEdJjytTLME1CTW5ZhwBdZ2vRriGm6CFNngIvv5LfBq4clT8FTlzP0frRof/tEcOvxem24PT1s7ziFnV2Xju+G9hBZ9jLkXK+U+hiFV7ZR1bGYoTZFGVNnUD5gmXDgdf5jvdEK+BRdgZzZlxCdPFUVthkKp62b7l1K4fWta26i+ou7qV//LL1NYwvsaGhoaGho/C/QjDoNjb0g9fBSIrJSVG0z/3g1E847jtIVS5my7JwwM9XoDHpKVyxl5l1KPTVj9PhKB2QddiL5x/mqYc/YDCcqoZGx86PBEiB8UjsBDB6irt+AIcH36x/48Dxshc0zYPmtcJ9aITHpZp/xd8P9sGUqpchk8wAGkpiNnQhm08/7eBBWxABKjb1dXEwf7/NDQR9pCWpbf+Mj1L2i1O6LKVSUPy1JsbBTUc/Mujf0ulkBqWnm0GmQu8UYIHja/jjsuhTaV4Qem3ZUKe1XFfnPJ38Dkq/W+oTXxPfAguf9o34E2+eKflO+CA0tWniL6KgT9+qM2qQM7kqkom0Bm1qm+5u8cuiyGXuDy+MrP6D3kpAnwo0Lol6BwUgRflo9UYSi+jx4U499RDVfb4zAFJFExtQz/G0JOYdQumglyROPxhyVqipx0NeyIUgZc8dnd+Kyq4Vh7P0iHnbn2vv2zY1qaGhoaGjsQ0J8DK+hobEnjNdwGw96ixC/SDowjOZ9GBKKZlIb8Q4MR0CB8hSfdGYEckUv/WsbYIeSg1V43fGsf8jnsdN5hbplR6oQRQERkmmLgPRWch43kTyrlIENfXRSCf85UHytVe9hGKHKsZE4SqingWtU/dUsZDYepB/EZ0kS6ZkX0/L+OjA5oXAHeHT0r3FC71SK/6KOXzQnxUFbiHjLUcQepxzrvmM5P0kHab+BtgfAGaqUnnWY3MfM7LpYT+VMpXnKBogIOB8J47RXQ8RscewO4aCy71C8g4HeRUAI5eT5BFJ2TsSZ+pWqe8i5mWjzAYyFw12HTorGqE8cc9wIg07hZpyU9Aqt1cKtWL3mYWB6yPEGS7CBXnL8E2HXN0el4Xb04XEN4xhspfqLP5JcsFBVDsPeP3YNQ1n2Ikk/hPexhoaGhoaGQPuvpKHxA6N0xVJyFy/Y/cDRJHZDtlqoZednK5i05FSiZyhiEymL05AM6l99y5xR6p0evRDLAJJnCbUNc5ZF5Nv5VDLt9Ta8dkWiMZK5/uNyckJusYFrkfHu4Y3te7qeh5YbYmDN0SJPsDMRnrwcXl0Ma46m6Yo43AFRqeakOGHIAsUtweIqgZTK4mtvMBeI0MvhsuA+Y1IEkfuLn4E3YCuBBh2AKaDEwgiOXYAEM7qUtuFvFAPQMFqg9Zv94eJnxLGvtEEgVc1n4uwe21u3pfVQNrfMRA6U8xyD2m7xYYDFkEdCziFjD05vxu6pwuluRpaDFWhDYY4StR372zZj6xO1B3sb/xM2zy4+++CgNpdt35Z30NDQ0NDQ2Fs0o05D4yfCzKv/SMmlt2FNzoBrHoHLngKrUO4ruOYYSG4HQGcRBkHxGuF5SluSSMyCUVaIV/xpmPqSIp9oiDdCa7ooSg5UnLmRHUuVvLkiPg/aUwrXk8/f/ecdPE4r9+CkHg+D/lDNPcXrkPHaxZ5lWcbTv2eGom3TqIa/ni8Krvvoe0NiU7zSrY9U3G6V9z6Hq39oj/e8J5h96ZSD/w7uiz8VrNPUtezyXw4ep48EY7q6rIGjGkzZYEhQC7eMeOikUOmfvep8T6txCtNS/iNKITx9GeWXv4PsDW3FemVFPKi684KQY8Jh1KeRNOFIkPThB1nsbO84jfLWA2joDVa+DMWIUVfz1QrqvhEePZe9h81vXwaI95OkNxGfNZdZp72sUufMP1BUlQ8M3xwPXo9LK36uoaGhofG9ohl1Gho/EfRGM6aoOGLzi8HohihheMheDzqjgeyLRAyeJV+IR1gnG5n2eRoZv4ojosQCGYqXzxArvHQVh7X729wdAQ/uvsPBTUp9PAk9JTSp9mRmEgmcyVQUUYtm/o9yctlINBuJw0b5Ht9r5dFtbJohwke7Xhlm49RmHHWha86FQh6nJ22k5pynw2ft7C9qGji6dq+euDeEyscr/BSm1UKWL6VLHyCYap0Weh1XC/T+C9w+x5KjWjEYrTOUcSYlXZAZHTCjBwpW+RqasoQqJpAb9ThTUlbT+mIL3Hw37PSVwQjjrXO6lTDGfsen2FxVIceNMKKoaTbkI/mMuaT8+cEDdT6vn0UpN9BjC6HWGoIRoy4UHrcdl70H2eMkKrkYnc5AUr4QJdIZrEQmiPvdU6Ou8oMb2PTmxXs0R0NDQ0NDY0/QjDoNjZ8YGXMXqs7XP3wjPVWbSD4xi6KnppFwtBKKac4zIOkkEo5MgowWmLkeU66Mu8kCjaJQ98A64W1RGU2N2UJSv0X9gGwigyQuCzgXa1iYBPfdANkN8LJaYn6IEDGGY7Dr5h4cNW68w8Iy635TCL3YqsYXftf7NnQ8Ko5znlaHBCYtHVCd27eI7/4QRp/M/vZHV1K27EGaVo9KLBwnDbf3Upbd6N/7aEyjolcnr4PoeWDOU4RQIgPS/ky7EWWpWQxlEgx9BS6fnW6dqnj7TAE12Q1JYIiDCJ+T1tQ5F1Jb4dVFtJ87C0nS07mmRrW+vUX9um1tO46tbcexrf1kVbvNVTHmPntsqwGIMCo5pdkzL2TygrspOuIP/jYpSVzPEqncuNvbjce7ew+q3jA6B09xT258/XzK37lcrO0z/iRJYtqxjzDt2IcxWRORJD2OobHVMwNp3fYmjsEWvJ7QJU80NDQ0NDT2BZpRp6HxE0PS6Zh81vXkHaMYTx2b1yJJElEl0UghYuwkSaL4lWKmvjkFS1FAf2MWVXNFWKJjVwhPmNtIWXYjZdmNND8kErxyeJIJ/JMJvEYsv1DGPuKTmv/1vcK4++RwsQSde3R/nX9THtzLshsZ+FI8LO+8uCvcFPX8Z5Xj5EuV0L4J/4LcFdFM/gYSRdkznE2wZTJs96V26dLURljrmv8I4+7dLxne6qQsuxH7zmDjsuXDr9ly1/MA2GvdtD8nCrzXXt2Nuy906OjUHRB1qMh/iwyhRZLzpAihLPxEhFqGYkQBc6SMAahLHJTUQcE7agNxhM13PwhGJ6b2GUKAB7CtyqLnq2ARkR3brmbAsc5/PuwqZ9hVjkcWF8uJu0vcb/e1oTfqw6AToZ55CQ/423R6I5HxE4hKLGTKgnswzxnAWmil4JCbSUw6VjW/ofd3Y64filB17EDt0TNHpWG0xCHp9Miyh9ZtbyDLoX9uw711lL26mPr14o3WVK7EuZa9upiyVxez/ZM936eGhoaGhsZYaEadhsZPkMi0HKKzRksZjo11YiSWHCuGENFpm6a37ja8seUBYdRJSLhfO5ieW6ci+bwgsjtEvONd/wfseQ27yP1MezR+NH1vie8WX6qUPkF8N6aPrA+5zwn1StsmcASU/pvxcGil09YPv2br1SKnsGeVjaFdrVQ+8Dc8dmFwNr/7JY7OXoa3D1NxmDp0z1YZ2sNoKYCiz0T+Wyj0UaL2XfTh4e817uTgtuKAfEKdBWKPDx5TtuxB4cCK68W5JUbUPARAouH5LcETXl3Mrlc/pOJX7zNU3xHUnRR5rrJ2YzZurzqX0uHeRVljNu2Df8akz0YnBStaAkTE55OX/gdyEm8nNn0WZn2uqr9r+B/I44itnXzkH/3H1rg8fx27QEwRSUFtgbhs3ep7GGpny+rr2LpGlALp2PlB2GLlg51bVfuUvR6/wafl3mloaGhofBc0o05D4yeKMVoRuPC6xxeaCJD9ICRfoW5zN5ix17kx5xtIPj+0WyhihogLXD+hkfqbBun5qAtb3TAdfxmk/pbgHLSIEgtGsunkWeq4CJnxJbq5Wj2YJ4SuxmKvdVN9USeegdBeFE9AlGCBLwVr6jbIvEftDeve+g26jH46n1HP15lg4kUnYkkLIc8vCwO2+b5+tt32PramDoZ2qQ24ut82BU1ruje0WMzg1w5ql3arREjKD2xhy6Hjz+eSJEgIsEOzHneFNRJHkL0Br53eg/M/abDsQX+T6wvFkIq761v/seOtIuwN/bS8plahyY5bjiRJGHVKPcdBx39UY1oHnvQfOz0tY+4vylxKpEkUTDfqU4L6d3ZdFNQ2msiEicw46c9klpxNTOp0EnIOofDw2/39BnMMki60QMtI/bvyVVfidihvqM6aD3EMqvc+4q0LRV/Leho2vkBv87c4hxVD2N4f/B7R0NDQ0NDYHZpRp6HxE0WSJAoXiWLmjr7xhSaC8AzlPCHC8oj1hTrKEr2rbJjzDeTcGR80J2quEXe3F3evF9kFOCxgN1N76w7qb+ml82WxjjFDmaNvmkw0hwIeungeJzXUcQku1J6erteG6HxFzPc6ZJxNHuJPsBIzT1GrzF4uDNi667vpW2OncqE656np/6D9EdgYI84TzgGzTxzEmAxpN4n6cACyx0Pd+3/Hba1TrTHZF10YN20iU286n+KbzlM6ZVR1AFl7EACugSGcvYP+Zlu3kNAnYghO/RcAQ986/SGsXf8S91lzRRfbT+ug+5/D7LxE/Oxkl7h3R50b2TO2AWxr7aJs2YPY27rJfVppb9z2J8qWPUjZsgeRPaENX2dvgOXbmh48YGsxACVPHM+EiX/EtECdX+eR1XltyT4vXULEaf42t1ft5RoJu4TQhlo4Ik0zSY1awrS0r4g2i9e8z/4hQ86Nu51rMEWRNvlkf7256ORipv/iGVImHce0456gofcOhp2VQfMScg/zH3fWfuQ/bqt6J+y1Zp78gqoYOsDOL++hfce77PzyXrasVjyFgQaehoaGhobGeNGMOg2NnzDRWRPJPPh43MMDeJx7JtQQezxM22oBySvq1gGWPOEhy7wllrxH4iFqAFLaGKzoxNnkoeH3AfW7OlKwVdlVa055O53ShiwSTovAscuN95OD4F2RF7WFArp4ju0cjJtumrgFL07qruth141i3ZrLu0AG8wQ9kVetJ3O5mew/xGGdIryEQ+tF6Jqz3oOrU6bpZqEA2fpHaLhO2UfqDeHve7DFV2w7QTE8ZtmD89osKQEuL/uocEFZAqeRusVRlC9bqbQPR4jX7Ph3QR9sVNVd34Or3UPPO4qaZN8aO16bF2eTIurS/5k9aG4glff+BYCKe16k5eMvYOmD4sugrGFrCZ3L6OgUnsPCK0/HfOknSkdCwAcDXglTUgSSpGPS4b9G152tKKJ+5QQZUqOWkJ/wGJIk3jOp0UuIs4pYT4d7l+qaTreivFqQ+Cy93f+mt+fLMe8RQJIMZMX9FrMhiwmJivVa1XHGGLPCY7TEkj3zAjx00D74DFvbj8HurqW1/3F/uKQpwuellWHgqSIcNaIMguxVwpOzpp+HOUoYxFHJxeiNEaRNOYWkCUcxad5tY+5h59r7kb3jq+mnoaGhoaExgmbUaWj8xDHHidygvpqxlQdDzk3XY5kqwWA02CyYfUZd2uXRJJ4SiS5zAMxOMLjBC93/HCVt36nOSzIkiz855jwDziYPveefBEueVo1xsIMazqSVu6iVlVysHed00PehMGa8lh5a1r3PQMxrpPwyym9sBtJ4s53Wu6Hj6aAuv6x/KHp3+MIH+2P8bTpz8DhJp6N0xVLSjzoABqPUnU4TvHkyuHSiwPmXB8Gri4RqaJTiuSMp2Cuzef/g8MNtJ3ZgD8hprD4/vOfV41DnZLV+/E3IcT0bQ5cXcHSKUFlzUhw5NxZA4XY4+XV45Uz/mLS5osyA7IKKIvB+dKDKsJU68smMvYWEiJP8bUZ9IhMTn8RsyMfhrlNd0+6uI9p8KKVZDUSYSti5/WZ2brsx7D2GwqCLJTHidAC88jAuz/gFeHpsq7G5lORJe8D+2gaepqn/blweEfYqSTqSJx4D7Sn0PzSFmkXgcQrvpt4YSemilaQW/QKjVRj95ohk/7zc0kuJSQlTfyKAgY5gD2E4Bju30VT+MkNdO3A7B2mvfm9ceYUaGhoaGj8tNKNOQ+MnjjlWeBZqV//tuy3gyxWjKwl9nPpPxqwP9xcHhjAiKh4lL0myuhlcL8RULLmjjDC3On9pgDUA9HYqnqL+zxRPoytih/g+LAwkQ0rwn7LulcK46Xwj+OFeHx16uwDtG31F1BcIyciMO8KPBUjYrxidy+e1K/YZzvKo/TRnKseBRt30zcELhnDS2La5GPg8tHfOPWynt1wRm2keZ5mF1o+/UT38DzW00VdZQ8dX5UgGPcaYKCzJccKrmF8HVhtc+GcAuh8R76nO5wMWlLzoIsTP0dCXG1JlFcBsyMPh3kXzbTDwmWhzeOqwGPIAVKqSsizjcQ/S0fo6fT3rQqymJiXqUv9xZdsxYm13AwP2r8LOkWWZmq7LqGxbAECf7SOGnEqZjc6hv/n3OELO7IsxfLEIAFebl75WEe6Zf8A1/jGDHeK9MNSjhKc63I0M2NeSkHOovy02fXbQntyO/t3cqcL2T26jddsbbPv4FurXP0vDhj8z1L0Dl72Pvpb1u19AQ0NDQ+MngWbUaWj8xDHHJ/uPBxp37vF8KUBsMmpOsPKkzqoLNurSRT03PAbQuyG7ATmphaprKrE32vwePz/NItlOVQIBoC4v6HrZy+No3ajOXwo0IKxTfYXc3OIark1KmKR50XpmjVEvTHbL8MFR0JZCzIGxWB57krgz1SIzA1858DoUY8iSHEeUwWfcTtkKs3bzIO0z6nIWHQmJ3eiTXCSdG0nuA8G5ivmPKHtve3oQXYRynx0vDeIZ8FL38nvsfP5tnD3CEHD1h67VljJvNlH5GcQWK5XG2z/b4D/e9uDLVD/7JramdowxkUg6CWOM4oGMb1vqzwN01oOjFtyB9vIhX2K4WNRQcLW5cHeL8hGudhjo3+Cv02Y25GGrddKyHKrmgdvbg8fbi9mQx+BAOQ57vX9Jp6OJup13UV97H9XbluH1jB12GmEqJs6yEAaikK96AGcDVLYdRVXn4rDeK5dXyb/0ePup7rqA5v77gsaNhIzKLmi8Edz/mAeA2zlI3dePiXsLKIOQPnUxABm+7wBb2xZS1XkGeftfTemilZQuWknBIb8hMmEScZn7M+uUv4prjbMOnnOUAqdzSHh+XfZeNr99KdVf3I3HNUx/22a/4amhoaGh8dNEM+o0NH7i6E1K7GDVq49j72nfo/nJS5RjQ2xwmOOUP08HXUB+WHYD6APcTR71nIrFG4OMuvgvH4a+GPL5q3rxT0SYX+SRSkihoUBR0rR1NPkf1ksbsihtyGLK6hTh+fPVVgv0mjlq3VS+tjzsa1B9QzVsKYGXzsUcl4T97hOoPEJ5wLZVuaha3EHtVUr4o6vTQ/+/fYaiTlZ74gIwZfm8kVYbKfNmkzx3OpLRgGHRp2TeaiVpsVpVdFZVBgmnRKjavMMy5gJh2NX/ppetZ9TSV1kLwFC92OeIAEraUQdQumKp/yv7pHkUXXMGBZec7DfsGt/8N8ONbTS/p/buObt95Sl0EkXXivy0ni/r4eMF/jEN1wYUZQf4cAHOV+fAznx0Gw+j6kiZXZfC5lSoqriKhroVAFj0ecj1irE6YiwZSGb7liVs23K5v69y0/n0dn/qP7fbG7ANj/3BxMSkZ6B4K543Dqc8B7yV2VBRjNsbJocwINSyffDP/mOLYRIWQ5H/fMi5Cae7iZozoO1+Zb7cY4VWUcXdFKF8gJJRfDqli1YSnyWSMW2u7Xj6PfD+0bi96vff5CPvZOJBN6AzmDFaE3AMjk/hdKRQun+P3cKDXbNW2WD9+mfZ8dkfqH7jSdzj10vS0NDQ0PiRoRl1Gho/A2LyJvuPbZ3jl8QHSLoM8nyRm44Qz9OWXCuzPvF5qvRu8m4rYPbniqqIZIKip9V5RIZ48afHUiiMu56b5mA+cRt6YpmN8PpF954KjwpVQNOxm5HMIFkkar9ZoSzUmUjrv9fitg3hdbvwOOx4XQ6famNA+F/kICDDrjwcSy+n4uEnGOrY5VfadA314+jron9Ds3+Kx6V46EbUJp2NYm+979uxbXXhbPWweZaSA2dNTwpr1KVcLLxeU5afSNaJQkFRdrlxdPZScfeLAEx4UcSF5j+RIDygwOzaTNU6jilvKsflZnCJ17DmReG9HNrVQnRBNhkL54bcB0D+ecf5j7eueJmWD9QlBnQWxSNrTopT9fGwCDHsewe6ngdLMRhzPVCfAyvPgPX74b3nSmwbA17/oQgGB0R9O5MhU+WBHW4XEv6yz273uJXQQ69X7ZnbtuUyKjedx2B/iLBVI771RQAAIABJREFUH0EOuaPXwML3sbmC89Rk2cOgQ8k5bBl4HMqnQXM6JnsR9h6lvEDn0N8o33YMva+PWsRthGsfRZIi0OmNIffkcNeL8M7irXDJc3S+04PTE/r30ByZOm6jLiztydAv3kvd9V+ItiueZNPYpfc0NDQ0NH7EaEadhsbPgIknXOA/rnnnhT0SUpAksAoV+5BGHYDOoqfk2xSKP0wlcWEykkFH8i+F52nK6lSs+VbVeNkjM6M8gymrUv1tjhoP7l4Xnl4vJa4uBkoe9vf1bCmn5Os0itcq4iU4zXDXLTTPP5hNj/6eqn8+wcYnbmHzs38I3mBmE6S3CFEXgOcuYdv9r7B5OBfncA+bn76d2tUvgUnxCPbdfKByqWbhebRVKWGmlUe3UT5HMegmPpPI5OvOYsYD5wOiSHrek8KQMyTpSLk4iull6UQUWYLyzdyDw8heLzXv/JmoZRtJ+IXioZMMkl/d01g0AOZR4aNvnOI/7Fi7GVf/EPbO3rA5bQB6c/gC7tb0JGbcoXiAjFERJB88QxlgUguxmAu9uGiA1jRoC1G5HqApE9kt4RkAkz5PZdS1nFgKPXHsqngw9NwAZK+49+0Vl4cd4w4TubijYlnwtvrvpbn/XmX9LRPguNVwwNf0Fz4mjLARBqKgZFTh9cv/5D+MkvYPu6fRap9d326kvGUO/fZghU9zVBr2wVZk2YvX40T2upE94B1VkzywSPnEg3+tdNRnw9WPwyXP+RVJ+UzJ4XOoK1DgtYcwhDU0NDQ0fnRoRp2Gxs8AndHE5DMVTf+aVX/Zo/kjapGqcLtRmFJNWAsU4y3793EUf5yKtdCIPtLA1H/MJGNJNgANK2oxxOnQWdSGx6bjvmXTcd9SfpiiREjkIHy0gM0nfIOt2ffEXrADPlHqhfHrexmq6AdkvJ0Bf9YMPm+bRxdcQuDlc+CLg6l8/XYAhlrqoFfxSnk6lBBRe60LW5WLpjtDFwoH4XXUmQwYoi1M+yKNwpeTiCoRRl3cUVZRgDtFLQgz8UIlh3CkPtxgww76ttapxhX9K5nClUlEnVuvckCOpvM/wugwJ8SEH+Sj5NZLgtoKLj2Fydefhc6g3mf2qfOZ8EtRjiA24VBVX9/6BhiKhL5RHj0Ai08NtTELx/yn2BgDQy8WYWxUDGbXhjSYXg7zPgu718LiR4PavGFyI8O+R/crw1mvbuoeHuV22zpFOXaJ1yCz9p9QNltt4KU3E12xFA77t78pLTYgTnn0nty+C/vUTh294vuOzjODDDtzVBpuey9V/17OhtfOZfPbS6j7JWwIUGCVvW42vCaUYZMmLCAuo9TfJzVO8B/nFt0iDh5TBFzsAb9aniHYYIXWO8NuXUNDQ0PjR4Jm1Glo/EyITM/1H/tl+8dJ1TvCi9L0m/HPkfQS1klKOJol24o5Xcjed7zehr1ePPDHLgio8eaVYNgqpP9HGPEMyVAzswA+OgIO/hLeP1Z9wT/cCv93J/zOJ1d56GdI5wphD3p9IiTHvque8/xFeNp9Bkx7MrSmY5kS7LaoPqeLyiPDi1cknBqBZYJyr+ZcAzqrDnOOgaLXksm+I4TBA8SVFPjz24YblPWrn3mdzbc/zeY7ngFAH60jeq4Ft81XGHzBGpitKDQWXS3KDYyUIyi45OSwex3BFB8sARpTmI3OGJw3KUkS8TMKsaQmMFw5DL98Qek0O9Q5lYEcu1p8b8yCQeG57fozSLsK4cgPQTdK6rNafHoQHTuHomlP+ZsjIieTmaP2ztXXqsVMbJVQJsH2EZvz3VHvD6A8F3YsV5Qw5fZEkQOaVyu+L30oaE7TYQfAyW+qG/89j4GYf8KhX8KFPnXMWn3QXP9ee38DVz4Onb6cu8eugYXitdnxyR8ok8TenfVg8YmtDK6YBYtX4v6smO6XxLSqo8R3x7CSHxiXsR8A0457jGzn08gPXeXv67pmBlMW3KPaS+2qV6j1CbuMGMDNt4bduoaGhobGjwTNqNPQ+BkxfYkweCLT83Y7tq92K2UPLqPpy3cZbmvwt3sC1NbbN35B5V/VD9d9ddsoe3AZZQ/9KmjN+KMS/ccVZ26k7ZVmJvwpEWtWvHjwb0lT1YfD6MQwxSeM0uoL7Vt1AsT0w34h6q/ZA8I8D1xHwlk6UTTb4svNuutmuPsmZYwrIAdqm8g7lJ2h86ICSb5ALWoSd5QlzEiImmMO8kgGknSAyDeseXGVqt3VP4Srd9AvfAKK0UZ8LyUvHEHOPcJYNBhFspTHJrxXekv48MpAjHHCsJv2fxcy6fLTkPThDRMQ+XWu/iFI6IErnoCpW2Dhe7DoVYjrgex6OOoDZYIvr4snr/A32Qebce7QQWIXzBj14cL5fyV/0p0UFN1LVHQJuRNuZkLhH9AbIknLPJ/UjHOJjTsIgK6Od7Hb6vxT+94atdmi7YSi/7a5wohqzMa92Zdk5gk2ZMOhu+lxsAbk+v3ut0gmOayHUJY9InTz7RPVHRXTYNN0Ee7pozwXanLmqsevUH6PBj6E2jsrqFh9rb9tRHHTHJlC92PqDw8GPweL1ad2OlV4cT2Pn0n3LuEVrVGEOVlvBtuo6FINDQ0NjR8PmlGnofEzwhgRRcKU/XAO9u527K4PVwLQ+rWo18bhomZcYF5dwyevYetswW1Xio7Xf/iqOAhI1Kl59690VX7D+lGGXuMju+hc1YJtnc9Iqs9T1baLXOAg9fJY2FoEdYoUP06TMAKPfweO+Cj0DaS1kjP/ZIiwgQQx57VTnPQpnPN3+O1yMaYvVhnvU+zU/+MyEi8IMOzmfK1aNumRCnKWxzPpb0kU/SuZ7OVxxB2rzhncE4KESEYxEpZZtuxBnD0DxEzJZ9Llp2GKj/YXXXfuClHcbhwUXbWI/POOw5wUR0xhzm7HGyICjFeLQ4iQGDwQ04/+/TPhlTMxnlABh34GJZshPvh95tmSAbYIyGr0l7IIpDZ5PvWXiljDpNRfEJ94BBUlMmUSRLctYuJkJQeuYuPZlH11EJs+P5Omm9XrTM/9hpS3P6ZoXZiEsW1FcP5fg5otxZD7PKRcF2IOMG3ZVeoGvQd9Xi9t94YudO/0NMPp//SfW6/6XOk8YVXwBICHw1wc6P7tVNW5KTJFORn12YExE9qFUw7LSQFW5+KVNP8OHAH152UnVJYIj6eGhoaGxo8PzajT0PiZYY5LxDXQS9mDy8Y07qIyJ6gbSkW4n63KRdfWb2n+6j1/V8emLwLmKcaX7PXicdrp2b6Buvf/LhpHGWENl4wyiOpzhcHWmIWxdzIdF06H3gTVEOvHy4TCZXqzeDC+dNTT9NWPguTLJXwrmdz745l012yslIj+JU+LenIDwpOkm9IG/xF5XsOpbxP12w9F3tTfXoR5/4YZvhpfC9bQWfc+ADHzLETtbyblgigk/RiJbrvBnKgYloYoK1knzVP173zhHdxDimcoYXaR3wAz+4q4O3a5McULD2finOI9unbCrKLdD/Th6AqTU3jsajyeAZDAelQj3LocJm8XRkZGU+g5WY3w+FUhu7qeh/410PAr8PSBfYt4fWtuqUGSAv5tvX0C/GMx7m8U4zD2eMhYDkZ9ItknHEHUARL5rwDPjMohPOrDkNeOPw2SLoDs4EhMsh4AQwpYjcKrG2P21arLFr8b9UtEGGWZHvo/FjX4KluPhUphiJknQdGD+yOd9Ubo12SEzTOCmqKPDfAOusUHH6n8ioYrDf7PT+SAkoop14OnF5puFOeReRlKjinQckfoS1dOhWGtZrmGhobGjw7NqNPQ+JlhiVN0zcufuYMNj92sMtBGcA2OeoBPEnk8dWcZqHv6c1oOWgibhZHUvHY1fbWVlD24jO5tyhOhc6AXR++o4liJ6oLJY9H7qoRzV7DBFPOFT+Hy8E/F9xvug/mKsZh8ahpTLxSum8hZZpLOUMIlp1BGGjeTVHwIels6LH0Qr0EtIb/LfC58fQAJ8zLAq4cjP4ZlK4SgB1D24DKq33xu3PcxFjqT4hXMPO4QUufNJv98peSAramdjrVKmKIxSlHGNKbrkczgqHMz+fqziLDPo+f2adRe143Xvu8lDfPPVfLULFkBOXkGxVPY3/sVRA1BhK8I+v5fC+N7UpUqD5DMRqSsTrjsKXjiCiY0qD2iO46G9hXQ+qcBf5u3V4fslSma+qTIv/vj/8HD18M/T/ePKXgH0n+r3nfCGZB31kKMf/s1Y5F0CaQsVc4nvBbQKUHqMqEGW5i0kqTIc8hP8Am4RAyrF/LCjiOh4aWv8S58xd9cvAn0RjOJ0cE5j5aLv4JwUaBnvMLAhefDNPH+42uhtNm2+AA6n4K6X0LPP2H4W9Fd+DGYC8AbUIc+86wS+NMVjCYjhFjs1lJRYF3+bg5gDQ0NDY3/AZpRp6HxM8MYGas697octKz7QFXmwON0MNhUg2RQDI7JF1wpDmQJHvI9+b5woV82vfqNZ4Ou1VX5DY7egKLPMvDaKWAzEzHbKM5HREwstqD5o5EyhGpg/4gNWrwVlj4IhdWYP74SViwl5YlacuYvwhKXHHKNCGaTyV2Y84x4uvXQFwMXijpxHPK5aqyB8IW9+moqkOUwAiHfEb0vvDFhZhGz77/e3968WhQHt6QmEJWv1K2TdBKmLANtTw4y8AkMv52Cd1im+7Vhmu4Or9T5XTHFRZO2YH8mnH88U5ddQsbCueSedYy/PyZOUbXkYJ/31uiGQ76EmZsgS8nNnDr3eVLSFsMFL8LMTcRlziE7WOSS1psDjMfafJoe6CEqZrr4uY/wlcizy30Gujs/omLjOTTt+pNqncTI00k8IREaslXtKTe5KJWhVBbzDfFKX/wpMNsLSZcKQ2kEgz6e3Pi7MejjibMeH/b16j7/GJE7B+hiZHQ+p3R6gDBJ1An98OjV2G9fTKlLPb9oLbByMZzmsy6P8wn9PLSUvDjFldj9V6hZJI5NEyB6vjDqRog5FoxRVojth2cvVjr0Mq2TLxXCO7Hq90vb/WDXQjE1NDQ0fjRoRp2Gxs+MiLRsItOC86fcQ4pHpHmtEG8wRcaQNO1AsuadhDkutIETk3BAUJs5VgiitKx7n6HWgBpd3QnwxaGwcTaxJ8pCxGSE2IBQ0OgANZYA9DESmB3YRhxXE3dipoAI5jCFbyhd+iDZV+SHnBu0R1/oYsSdAe6YUeGA0RxGdLZ4Oo6dMBUuUnvngryZ35HE/UV4XvSkLH+bpJOwpKrDTqf86lx0JrU7x90p3Cm1V6k9oO3PhS6CvrdkHncw8TMLAUg/+kCS5hRTOnctpXPXEp94hH9c/i9+GTzZ7BICN9n1VPxqNVJZQJF6SSLlaij8LIyhbLFBVxJtNyVgKwe6gt+PiRd7qd1xK3ZbLa3NwflyyZHnAZBW96S/LevusYVxJAlyn4bow0P3D9i/gOtDxGqOomSn4nE2ZeE3JAvexK+u2WNTRFNmOSBqdP34YsXKqjs6OB8RYMLL4rslwKjL8KWQ5sy+lISSWUrHS2fi9fbBZc/AM5eSMaq0wegSEBoaGhoaP1w0o05D42eG3mhm8lnXB7U3f/UezsE+Gj55nfYNQh0v6/CTyT1qMamz52GwRAh1w1F424JrouUcqYTDtZV9iiEimtKlK5g0X4mLa32xDraL3CQSO0WxZBAP79c8Clc9pix4xROg92I9eAjMvtwio5OZum6msYMpfI29Ukf9/TUMlivG6ViY80Re0vDffTllye1C1dHHTAbRE0v+seci6fWkls4Xno4AQ7Rzy3/Gda3dkXfm0ZSuWIrBqlbRLLxqkf84MictqH4cgC7ih/Nn3GRSislHJ04LPSi/Dg4Ur1vrK7VMiHiR2QcotdpGF+r2E6cY/ZXTQ/Qf/w52m/r96XapPxwwGdIpzWogM1cpjzBGjfZxkRt/LxTugFd97/mpW5jtVbvcYo4FQxinr16n/P7UdF0Gyx7AOgt0PgHT1KITMUeli5OIsb3Z1lkQ6bOTTQGf21hG3uITjyJ//6uxnL8BiraBTh2im3azl7wXlPPuV9DQ0NDQ+JHww3ka0NDQ+K+SNP0g1XnnlnWUP/N72jcqIYhxE9RKexmvbocDfXW+SjcAEKFTRB3SDzyGaSeuwGoqIiJF8TqNeO7631fWkl9eBDuFOyHqtC6Ra7fkScjdJULBUgPqwk2oYUpLK/auTqU8gcVO9a+30/1BB85WB9suKafjtTa2L9mC7Nl9PtmIp86P1UYGd1GKTCkyekQenjEyhtnX3kd01gSSuQZ++Re4WISatqz7gAHHut1e67tiiFREZPLPC667BpB+jRKeaEzTYy0WnifJDLJ3z/LqhiuceIa+e0ipNULUmcuf9HuMxvjdjBbUPLfaXzTd6/TQ/l61yL8LWnw34blzvqah5jFVk8PRGHb4iKdsb4mPOI7ZmTVKCYVLn6Gm+xqSb1Q8pQVhRC5HKE5do5wsfYjcrzbQM7wKu6uWrOnnMnWh8ASmTT6Z2FHRntMDfk0KAso6SEbQx0PCeaCPUs9JvHkXLL8taB9t298m6hDlvPtvMPB50DANDQ0NjR8gmlGnofEzJffI0ylduoLZ1963+8E+zHFJfun/zEWzwAC63gwmnSY8H9HZk9hSAJuzIHHqHP+8ofpGbJXQFuZShU8WUbp0BfoZjbDkaYwJUUJsY8UyUv/9FqU33E9EcgbJJ6YqRp3ZweDmAWpvr6b8VLVcX9NTu48b00foSFykiI7EnNNNOjePMQNyeEQcRCkP7FVvPIibXgb4DA+hw0a/K1KAG8kUF+wRBUg+L4qZFRm+40iK308l5644ZAcMfuNkaKNzXNdy93rZurCdmivHL2QzGqMpgdK5a0lIElWyS1cuonTlIqbcd5R6YFoL0fv7XvvWdJw94nXb9eS32Gp7Rf7dolf9ypl5f4WkY0apsQKpNwjDbOL2HVBRwsBqtdvNYQ9v1O1LJMlIaUk5OQMvwWmv0WtbRce1U6Ahm8i2E3frDTTrc1Xn3bY3qem+nIq2w3C6W2gdeJypJ99FZsnZFLwDcQE6K4ZkYcBbZ4mwzkBmdkP+X0Jcz1fbDiB71kVklpwNQF/LeqT0TpWxW3XYuF4CDQ0NDY3/MZpRp6HxM0fS6zGPEhUpPP1KZl1zT9BYc2wSTBSF6iIPAHMuDHwKUcmFzLzqLqwW34O3F5JnHEL6AUcDoH/9ohFVd3E+f4Nyrc+UELiEybMBKD73BhKLhVGoMyiFtNMuyCTnd8KA0Se7IIxHzl4zHLI96N4N4sJpN1qYeEV4wYtAMrlbHbbWE08rd1LFPDYSG37id8ScLDxekj78n2t9jI6Z2zJI83ntzDnCC1l1egfbftHO0IbQhp0sy7h7hJFedZZPhOZjYTR77TK2HS6crXsvgWhOFa4iYwbCUDN4GKir9fe7bQ5kWab7C8UYt2RGQ5pQJbVODchpi1HyGDN9b1G51xe22pgFTiPTZokaiw57mHIK3xPJUecEtcVYjggxUo1Opy7r0T6o5G6Wt+5Pc/89VLTN94sZxSjaNEgSzOyFyXvgMA406pInHkNq0UkADHZupXyVEETKul8Z7/7udr6GhoaGxn+JvTLqJElaJElShSRJXkmS9hvVd7MkSdWSJG2XJOmYgPZSSZLKfX2PSNLeZjRoaGjsLbET1LXNorImojMEC0iY45Jg5iZin3+d6MNFIfKhtbAhErBb2BRoG3ol0uceQ9EZ1+JZN9nfHHcyGDOVX/uIAN2G7HknUXLJbRgsEcTkiTnWJOUBVJIkouaKfZkLgsMEc24UIin6qHDa8Goipou1okqi0Enj+3OYyk1MYRPGy1eJul/JHbShPAG76BjXOuNlyrKzmXHH5bsdp4/U+T17xhx17t22E9tx1Ln957JXRpZlOl4cYtP0Fhx1bmxb1HlgGyY1UXlEG+VzWvAM7J3Kp95ioOTJE0g8JlMxiE3K9ezNfbS9rYRcJi8sYMo9R1Hy4VSm1Yn3SMIZkPNmGxwVEKooe5FlGWeHLzSzJQMevxqzJQujKTmkUSf75oyXkfGhlE7Hs1Z6dPhC4ntKS/8DyLJM4mXimgbf75vOouTgiX3Jqn2Jc4+/zRwpch/jsw5EkiRG/xuWZRlrQKk8e4hoWA0NDQ2NHxZ766nbApwKfBbYKElSMXAmMBVYCDwhSdLIU8afgMuASb6vhXu5Bw0Njb0k65ATKDjlUgBMMfFBD3kjGCxWis+7gQnnjvJqybBxlJOq8SafEZaRp2qf8CqkHqUoXQTm+0g6PaboOADiC2cy+azriZukLsRsnQKTvwVDYbC6Y9zhiVgLIuj+oJPOt9qC+keTdE4kk99JIXa+Zbdj/XtEIoLplFgroKAaeuNU/Ts5cdxrjQe92YQhyrr7gQFszY9GSlErc9qqhRElyzLrc5uoWdJNw61CfGRwvUO5XlzwvwXHLndQ255iSrCSccyBTFl2ttIYL1xAg5+7afrbZn9z9gUz0Zn0mOItmAMiE5NPTBVG4S/eguPfYf1Z/2L9Gf/E0ap+L3idHsyWLOwhwi/XrzuE+trxhRx7PEOsX3cIddV3sH7dIQz2bwroG2b9ukNob12pmjMtba3qfLyfW05LW0tB4otjjukafp1NzSXs7DqfaTUwNUzJge0dp7GlVZHO3NRcwvqmPNY3CfUUvdFK8dH3kzcndPF3t6OPmAWQ59vO9rnCI6+hoaGh8cNlr4w6WZa3yrK8PUTXScArsiw7ZFmuBaqB/SVJSgdiZFn+ShYfGf4FCK7CqqGh8V9F0uuJzZtC4aKrmXLODWOOtSZl+EMii74MP659hXKs92lmlOwCyQCJ5+lI/x1Mbx5jT5JEZFpOyIfiyFKwZJkBMMQpXjlDnAHZLbwRu+6uGfM+/NeYYdrtuJBzMRBrOAH6Y+G5i/ztQ3x/winjQcaNjAN5mqhELfluz9Uswig7XxYVqXtXK8Ijddcpqp+eXi/uHrVXal8YdQCSTkdEViqmBF9+oCk4LLTkieORdOENIWOCFSwOlRJkx/s7VWNqVnzF4O8PZ2hrF2VfHUTZVwfR3fERG857DT4/hM7f5FN54we4+h2ULX7V/zWakZy87k6h8LO94oqgvrbml1VzzIZsZmVWi/tl/O8tsyGbWOsRTE39NKhvZob4N+v01OOR++h3fMoWYzZNelFM3eGuo6wxm7LGbJyeFoac3+D0NFHTJfbrkRUDv6wxmz7bJ1hjc9AZzP72kuOfIDJRyGRufvsyAOIXK3vo8VX+KNNBmQSefZs+qqGhoaGxl3xfOXWZQEPAeaOvLdN3PLpdQ0PjB0B01gQMlvF7haIOgvRgET0AYkQ6He5u8PRA1gOKzLokQcbtYEz/7nvNvDyHvFsLmP6OEvktSRKmdOVBdU/VH/cUI774t/5YqFeKWpch4cURZtb3ixNfXppPPTTx2a+QLBL2Ojfubg/1v+kNOzfpLKH4ObRB7N06VYSnBoZu7guKrlpM1knzmHTtSVhyIlR9pqSIMLMEru7dF6nvW98iDl5dDO3J8PSl1F7VjdfhgW9FrqZtVx+bL3lLNc/rVhuztTuWB6298ZuFDPRtYOvmC8JeXyeZmZT0MlPTPtrtXkdjMU6kOPUDJiY+DwgRFb0u9GvSOSQMyj77p/621v7H/cc9tnfwyvagec399we1mSKSyJtzpf9clr3oAhzYHY8i6gP6fqX6N/agoaGhofHDYbdGnSRJH0qStCXE10ljTQvRJo/RHu7al0mS9K0kSd92dOzbPBUNDY19Q8bvweizZxJ/CfmvQNxponDxwGewSVQzwFwQfo3vgs6iJ/HYZCSdxKRHipn0iMgLzLtFuZCr00n3R500PFQbbpm9Imue8mfQ9OmFxO66Ft47BmRwUE1vTQW71qwMv8AoZFzs4Fg2kYyd8IlMMl5qOJsB/h3U50B4ibjlTvjtcjrnnYExRUf7M4NsO7F9zOsnnSOMuuqLRS2+zJtiMCTrsO9jo84UH03qvNnETMoh5/IZ/tqDRXfM3+3caY8dF7K96I75zH7l9OCOl86Foajg9hA4O4b8x16PHbst2NvrcfdTVRkQthgmpy7GcihmQ964rjsaq3EKcdYF5Mbfy6RkYbjppMiQY2u6rqI/wKjrGFKHcLb2P8Zohl2b2dBU7PfubWoWAkWmSCUp1mULVkcJrA/YeKMrqF9DQ0ND43/Hbo06WZYXyLI8LcTXm2NMawSyA86zgGZfe1aI9nDXflqW5f1kWd4vOTk53DANDY3/MVMrIGUZZD8mBC1MWWDfBlXzlDGm7PDz95aY/WKJ2U8k9RkTjEx6eAoA/V/3UXvrDtpXtvrDMvclepOZyPQ8ceI20feaHrYWw0NLqXruJXa++RydW9bhcYX32u3gGCoRD9V2ttPPe7jppJFfhZ3Tx1v08Hd2hEhJto8YdbH9sORp0Mk460XopWOXWsky/VdKmYTUy6KwFvrEcXw2nDnPgDnPsM89dYGYk2IhuROyGomclLD78SmR/lIJM184GSQovP1woiYnIekkEufnfee9tL2pZBMMDij5czn5NzKp+JGQc9zuXmR57xVCQ5EUeRZmg3BvFyWL+McE68miLp6PHttb9NmDPYKJESJ2smXgYQDyE9TGnVce8B+7vR3IsgudzkBchvBklq+6krJXFzNxVWjjzfl1CvVXwvd06xoaGhoae8j3FX75FnCmJElmSZLyEYIoX8uy3AIMSJJ0oE/18nxgLONQQ0PjR4A+GrIfUERPHHXBY6wl/739mLNE3Niuu5Rcq9o7duAZdNP4aB2e4X33JJp3zJkA6E1qsRV3vxL25ujt8h/LskzzV+/h6O3ERQf9fICNDTiowUFdwArhjdCdnOIbERxa18jSoDYpYUB1PvGZREobssi4PoaCFxPJuCGGrFvj0FnVwRSmLAOmVD2D65x7rYAZDmOs4kWzt+2Zdr4+wkjpPxYRXax86Jdy3KTxTZ5WDsUVcNIb5Nzv8VuLAAAgAElEQVQtSkF0fiw8urIsU1/7IAA5E35NctopRMeUBi2RlXs1suzG6RjbA7oviDAVU5rVQH7io0iSkfyEx1X9Rl2K6jw7Th06Gm0+hPTopViNaqXbEZweoRSaPetCVfvOoXPgN38MOafjT+DYsUe3oaGhoaHxPbG3JQ1OkSSpEZgLrJIk6X0AWZYrgJVAJfAecJWsfJR5BfAsQjxlJ7B6b/agoaHxwyP7YfV5+u+EQMp/C1OKOait58Muau+opu3vLVRdW8nw9iFV/+CmfvrW9dDzaRcND9dRc2vVuIqYW+JTSJ5+EPbu8Gqbjt7OgOMOWtZ9wJbn76LOfTG8cgY0ZlLFkezkF/5xXhzYqKCbvwPQxyr6+YhW7sNMkX9cL29iZwe7WEI5ecgI8ZFSZJJYAoD83Hn+8WnXRBO3UMmbjD3CSvp1iscuokQpZaEzSQysFV7GlsfUhuG+QpIkUueLvMiqp/611+uN1MQDyLg4HwxeJKMOFqyBuUKZMvWkInIv3x+O+QAm1FLfeod/jtfrwOXswGEXP/vE5GP9+5xYpBg3sfEHExEpym50d36w1/veU0aHdrq87SRFngtAYfJK9LoIYi0L/P0GXQIZscsoTn0/5Hpdw68DYLSG8JbO3gArF8PKxUSsuRlydvm7ul/ZyxvR0NDQ0Ngn7K365euyLGfJsmyWZTlVluVjAvrulGV5oizLRbIsrw5o/9YXvjlRluWr5T0pGKShofGjwJyLv85V2m+EKMp/E0kfWj3RXi9ENoYrB9l64WZV3/YrKqheto2a/6ui/R8t9HzUReuLTQyW796YMcclIXvChyi2lX2Ka2gAR28nO99+wd/e/2iBqK326mKcO9V/jgf4kEqmUcvZ9PEu1ZzADhbQxE04UMIEd3Iy2zmETp7GyS7VGln4qnPvVybKAADmXAODrGMY9f2PkHOnKNEg+ezivIfEQ36gCGnfxzacLXsfkunp99Lw+15i02cC4B4YxtHVt5tZY6O3GIiemkzOpbNJP2Y/Sl8+g9kvnQYlW2DKVogZIunICSSlnMDUmT7lSgk4QKiW1my8h/raB/zr6QIKwMUlzCMrT9Sdy8hegtkisgmaG57aqz1/F8yGXNV5esyvyI3/I6VZDUSbRTmDgqTn/f2BKrJ6SYQqz86sY3q6UElt6V/hG6cjtfCEsNcd7tkJlz3tP2/5PXTt+gyve++EgVy2Hnqbv92rNTQ0NDR+znxf4ZcaGho/c0aEUfa1QMp4mfGu8P5MvEfxajka1OGK4/lMafuSLbsdo7co6oR5x5yNtPRJVf9QSx0733qOLc/fhb2rNfQib50EbSKELo3fqLqqOT7UDD9u1OF/U1gv9kUsWfgMlLw6QOTJbWcuW1HX/xshcpaZwoYaZlSLkMTY+RYMKTpcnSLYwrbdRfUvuyjfv5UBz1rcjC9k0jPsZWCt8vrbq11UndlB+7ODVJ3SB/3ieltXvDSu9cai8HeHk3zURFVb0bSnILafaY8dhSVNePMs1ryguX1PZND3l1jYlYP+26OD3iOp6WdQOnctEZEFGE1Je73X74pBF4tBl0R6zK8ozWogI+b6kONKsxoozWpQtc3M3EJpVgOSpMcwKmwTIGvG+ZQuCi/wk3xsPvxDqXdQ9/VjVH957x7fg20rtCyHpt9Ca+Vqdn55Hx53cEixhoaGhsbu0Yw6DQ2N7wW/UTdx7HHfF4Y4I6Vr5xJ3aAKla+diiDcGpan1rBG5bu7esZX8PLaxc/CiRsRSgMTi/ZjNMElLBzEs/au/fah196GcvHwOM+lDYvfF0COZG7Yvgln+42iOFAf7fQtRA0iFygP+IF8EzXXTQxXzaUfJ2TLnGOj6xzBem5fKBUqYadWfn6eq9iLcfbvPt9t2fDtVZ3Sy7eR2ej+wUTG/jeHygNf9fSH6Ihn0u13ruxAVXULp3LWYLeoqOjPnrBEHE3ziI/2xUD0JXjsNz+dT6fyoNqi4+QiSpCMtQ4S2ej3fTwkLWfbS1bE65PozMjaENebGiyRJpEVfA+joHPo7bQPP+Q3Z0kUr/V8zTnzWPycmdQbGiAQ41Rcua7Mw0F6+x9euLIbm26D1Tui7txCQcQyG+dBDQ0NDQ2NMNKNOQ0PjeyFyP5AsYAmty/BfZ0Q8JRBHi/AKbL+qQtU++7MDmP3ZAf7znTdtG3NtS0IKs6+9j9nXKfW/zBTgpjPsnLjC0J4ynRxNNIeNeT2AdG5jMv8Jao+gdNT5DGbjhCM+gS3T2B6vCIkMswkP6vBSURLBix3lnoe+FXl6GwpHiRXvmITtsMfYNK15TK/nwDoH9moRrjlU5mTnxV0hx0XmZ2JOjA27zveB3hDJrAM+hbTQOZH1T5ex5drVeOyhw00lX3jm9sAyB/uQ5oZnqKteTvn6U+jr+RJZ3vdKpCI/z8uunpto7LudHtsbQWP0pmhlfFSaKOVg9dUMvFt4lu2DreP2tPVX1anOnQ0il3Ogo3KP92+rgL73of8jUUpFQ0ND4+eIZtRpaGh8L8SdBtMbwRgc3fU/wZwpksTSzstg2krhyXJ1OpHdXuy16oLWkkGHZNAx8W4RujlcpRZVCYWk1yPplD+pZoSrsuias1TjjNkepl51HbqFn8OSJ0m+Uv1nuPnLd4lmPiU0MQ3hPTKSzUz6KKGR6bRSQiOxLCSS/f3zptPGTPooCuF9kzCSwNmgV3vUGriaCqYi48GFqAU6UufOX+8OsE4xEpK/n+0/bHsqtDcLwFEb3hCxTlbWNluScXTuXU7dd0GnMzFjTmgBkRG2XBta0ysySpTPGB7cc2NkPAz2i9IKbncv1dtuZFv5pfv8GpZRoivDzkpcng6VoS5JErEZIqTZHJVKXNYBkC/UQqV68V6vWH0tWz+4cVzX3FGkvqbsEh8cNG58Abejf9x79/RD5TSoXgg7FkB5LjjDFkrS0NDQ+OmiGXUaGhrfC5IEhsT/9S4URjx1lvwI/3HHv9pYf5ji7Sp6ahrTV+3nP487LAFdhJ6IyeMrXq26ns+ocxi2QbbiPnDlrqXClEe3/jmIsBFhnkbJxbeSWCIMzb5aYRyYyMBMPiXsYhrb0BODiUyMpGJCCSGcQScz6MBICnpi0IUJ3czjLyHbXTRQyXQ2k0I/a0IadZPfVlvmcScaIVUdJtf/aXgPjatDCV+NW6jenylbT/ZyIc7S/2we7sFhPPbvJ5RxLAyGaCb++uCw/e7e0PcXG3+Q/9jrde7TPcmyzODARlXb8NB2hgbH9hzvKaOVNNsGn2Rzy2xaBh5StU84cCnTjnsMnd5E9ozzmfbrS9HHgqVU+Xk5htpw7cYo84Sy27+dA31ChdUxGF5JdjQ7Tw1uK8+E/jXjXkJDQ0PjJ4Fm1P0/e2cdH0eZ//H3rMfdk0abpGmbSoqUw93taHGOu0N/wOEccnc4B4cddljhcDiKu7vT1Ns0TdK4u6/P749ns7OT3Y20CS1l3q9XXpl5bJ5Jt8l85ysfDQ2N3wSWGSGe74GNHlOSifC5ERhj1F6pqD2isTVOvniDGZFMWMMZcPRbSscidYW/OP6AKTKGzANEOXpLXLJ6X8xARyjBMBCHgfELdkjoyeC+gH1WhCHZw5vYENp+TtpxIR7OdWaJOd8o+0p+oAn2+E61Rv+3wQ2xEfHy4lUp5D4eT8bN0SSd5ylWMtNIxG7Ci+psEj/71df+Z9z7mQ6iS1IpuGk/Frzwewpu3s+vP1iIaWqG8J7Zbf4uor6eHyn9fg+sww2T3o/LGdhruWndnyj9fg82rD510msGwqBTdP5CjIXe444BddEand6IOUwY+JLOgDk8magjwFkXohpn628e83q9q33677xCOT57GVxzG5viZ1IauICtisGfod9fdx2AioNhy8mwJjlwv4aGhsbOhmbUaWho/CaI2TeWnH/mEzpLGBOpZ2eo+i3ZgQ0nc7oFe5ON+vtqJnU9PWHKickBS16Gcx4V5fM9RHIIkqdBkiQiMwtUmnZTTQIXkcy1zKacWE7362/nIfr5gpFNlrErWxAhluZMA3O+Sabw7UTsuioln+qE5d75th5hhLTxEKVI9HpkSG01TsJ3M2GMF0VQEs8MJ+3aKHIfjyP1skhveKdx5J9k/Ww2HNo4xXc/McIL49EZdIQXxGNKEJ+JkEyR59fpEScfTWSUCIO1WtV77u78gooyIQY/0L9mQtdvqn+SsrV/9Kw3tiFoHQ68n8kiSRIFCa8xN/knHC6lkmqYedEYswTmPHDUGcicfxHGEOGatw2O7WnrWeX5OZ3zKGTWwTW3KZ1VSrncunHSFH018nLfhPiz1P3dL4GzFeSx6xypcPXBqkjoeXviczQ0NDR2BDSjTkND4zeBZNARs0+cV68r+QwlhDFkZijZ/wisvWBOFZ69tv+N7X0Yl/RGCBtS7wm1Irs5Oh5bT/uEpBa2BgmJNG7FQj6ZPO5XVAXATi2hiId5G+V0e8TPQRh2YfNNIjQzpls0Lv4e/iI8gOvn9rPy4K+o50IA6hGVGa21TsxZ6nuVJInoQ0PQmcW/R+KfwnF1SaJCaVkR1g0ysnP7ypjm37AvOZctJm7fLABqHy2ld6XyOXANOShdupzWp8TPwjbKCNuy+VplrFMJSexb20r59Z8jO/2rhjY3LGNosJyKjZdQW3UrAAWzHyE8ckHAvD+XM3gu42QIN++CyZCC061IVPQMv4vTPXaOozkPcENt/l5Evv4QLH2Zmqy96X5F9LutUCqJr6rjoHxv6L5UfL5m3XQsMxaexdy//1/Atdv/AytDxFy7p2irLEPFodDzBug8Tve89yD6aJjxmPjSRarXcTRC9anQsYxxGV4H7n5oum78sRoaGho7EppRp6Gh8ZtE0ksknpgCQMJxyRiiAxcDMUQYArZPhGKUcLwZPEYkhwEQ5dGd0xGhGm+Ojsdls+Kyqo2/6UCHmQK+w0weMZxENCd4+yJQhx7KKNIDNfyZRq6BCx8j5fIIOPYNVXipXJZDCMUA2NiMa9CNs83tZ9SNxpShxz0owytLvG32xkm4WKYBc0IYMbunqzTvKm//htKlyyldupzVZ4oqkd1fN8O9l9L9vmK4dXd+oSw0FELDAzU4+kSIavV9PzBQ1sH6i5XiK0OD5VRX3OA97+v9CeuwEJMPDS+kYPZDGAwRZOVdT1j4bO84m3VqPZqzkz7HoFPCeQds34853leHsvNJ5ZFiyxIY/AnKfN4b9LwBA18r56FJSSTkHowpJDro+rIn8nndDOh+BZr+Bn0fCgPRViUkU6LEfyskCRLOhsgD1Gusy4SuF6D27PG9dk3/EN+H10H38rHHamhoaOxIaEadhobGb5aUM9NI+H0SsYcEz0mLXKw8cLqtkzMyjKQwkw/J4EESOJtsniOBC8jiWRL5iyIM7sEcJfax5b1nGWyp91uv5efP6KurmNQexkKHiTlUkMOL5KCITUsYMKKEp9oRhV5k3HTypGgM7yb1kiiyTU/BDHUd+eHzz/Me19XdAQgv31hIBv8kKmv12PqBvxQ6kx7JOP6fy8EPoqmtugOHvUvx0snAo+dBVR5tH5Qju2Wc/aKgir1dMd63bL6ero6PAl/fI5sAEJdwCIVzH2dWsSh8U7buj1Pq2bUY85iXuoqc2EcBcLp7xhwfVIeysILKY2SsEywKWvDd+GO2LIEWn0jN7v8Fvv6MR4KvYdvi39ZyJ/R94snR+8zneksnF7qpoaGhsT3RjDoNDY3fLIYoIzMuz0EfElzwWmfSkX2j0Hbr/rwr6LhgRHIwiYjkIAOxzOBBDMSQwX2YSFWNNUeLnKT+us1sfvVhVZ/sdtP4zTtUvPowzT99Qum9l1F672X01ZZPek+BkJDI4jkAkriUYurI50sA2rifUiTauNdvXiynUBKiloTgnaNg3RwAumq+AsAyjqcu7nj/nMbGxyppfbw/wOgdl46vNrG29EjveaJ8mffYaevF1qoOlxzoKqO99Q1VeKYvoWGFAdvNFuWz43R0b8uWAxIdcjBgwOasGXOcIQHC9wzQsWkmzpYJVDvxEL4Y5vnKF951+YTm6Xw+NrLbRdOGlyEyeMjoaKOu63/QeBVUHASbdvUfb92KQqOyDLXnibBRx8QLeWpoaGhsE5pRp6GhoTEOpmRRnbHm5spxRm4b5ihFA8JtF3Fnjd++R9vqr7H3Kx6Tpm/f8x5XvPYostvFmkevp+mHsbXWxiOOUylB9lbTHJFlaON+ABpQKhXm8JpqbsozNeiKfLyLh78PL54E5zwu1hrHU6eP1JG/PEHVNvx1DA039eLo3P7ukry/+lsuaacVU/LyEsJmxiqN7x8OL50IbmHQtN2neNE6qj+mr6YMAJ1ZvEgo//Yq6rb8C71Bkc2QJMUzl5UbOLlLr1esmdamF7bijsZGkgzoJAst/Q+NMw4KvoYij0dOnxZE0/HJPyrHu/5IzP3+YZ2GWKFvyRV3wox6om//YVJ77m9bT/PGV9j40RUU/ggR+8PsUUZZxygvXvVJY69p3QRtD8BkNN8d9dAhHJ1UHjHxeRoaGhrbgmbUaWhoaIxDSE5wSYGpRGdQ5/UNtTXS8tMn1H/++phVMVfedyXOoX6av/9wq0Px+huqsPerPT5GUgKOncMWYjhO1Za6354s+HAxoXN97uGqO72H+sjx/9xE7G4m8axwIvdX/xxstZN4op4mIouTKHl5CdG7pRExOwFdiIGY3dMBKLz1AOJOUwwxmlNhw2xmZF+JKd7z2QkbgPVzqV8jwlezL95dtPeI8F7fIitzFijJXCFhweIbYfZ8UcSmtfkFZNm/6Mq24paFV7Gy4890Db055tiQWVAiQ9qX38JZj/sPCB+EGbXwpyfgiruJPjbw5zT3FQg9RLjsemKfQB8N6aMcxLk+W4m7ZIANH16Gtb8Jp114dZ22XsJ2hfxPwTzTRXbddyxwiZ9Pzxvg6oemG6D9sSA3c+vfvYe1Z0P9X6DrxSBjRzHwDWzeXzk3pgUfq6GhoTGVaEadhoaGxjjow/TEHZGAMT5wMZXpoux5Jeeup2rdhObYeicniTDc0YS9v5vNyx+i7Pl7VH0SgcPnTGQEbAeY9V4SEXuZJ7UHXzKuj2bm00mqthGdux2B3Mv3IP/6fVnw9HGYExXZipDkUXmZrUnIrQnYO4aIXJAMgx5P3Geiikd4oWd8lWK06Q1COsFoiiMsfDYRUbuMuReTWTG6Hfb2rb2loFgM+QD0Wj+iuutCHK7OcWZAROJcOMhH+fvcR+DlpeL4rivhUOFNNoclBZgtyN3jSnEQ3UtBTT1Jl8BMHz260AUghToxLPmGqrY/Ye1rYMMHlzDcpxjGstuJY7ibulVPUP3Dv+mu/8bbV30KNN8Idef6X1s3sxlmljO7rwVdBLg87zmcE/xvVb6XKOAywsDX4J7+ukcaGhoamlGnoaGhMRHM6RYcHQ6cfdNbvCMqd07A9vY13yLpDSy85C5KLr2HkkvvIfOgpX7jNvz3n6pQzbGQZTcbn72LdctuBsA5HCR0Drz5duAvxTAaU8qoHMXNM7GxxatbNxEW1qXB8a8CMrba7R9+OR4R2TnqhnXF1N8q5A/617dBZo2q2xDu8extnA1WYQTPyL6UksXfIUk6Cuc+Tn5RYLH4EXwLqIyWU5gK8uKfUp0P2deOO8cSkULJ0pcJ++Q6Ycwd8JmqPypFlMM0hwdXBTeFxpFSJKqgbvxI5NZZfKpsWo3rkZ86BeeS+1XzWsqUkGDbUAdr3zmXji2fAOAY7iJVfMzpfUd9vbA9lGPdtWJN22ALbp90zoEJFHJxtKnPQ3cVRmFtAONRQ0NDY6rRjDoNDQ2NCWCMEw/Qmy/aiKPLPm3XyT3yTPKOOStgnzkqDklSfm3Hz9ld6YtJ9B6vW3bThK7V8JW/wvJAk1rQOprfAxDBPgCk8He/OaOR9MLDl3JJBGwqgBAr68mlksPp9DEOx1xDkkDvhtAhrFW2Cc3ZnoQmpFD81CHMf+5ov76Y3dOxLNmganPYfYruPHUmDIVAR4qojtk38fudPf9/wPhC5VuDSa8u5FPZecaE5+btebXqPCQ6G4DMknNYcPxzGExhgaZ5CY8v8B4PdG7GmO45WfQzFV+P8fn2/P/ob1uvanba+lXGmy9ZT/qMC6kOOL/nlfErYZbvpRxHHQGS591Hz1vgHg48R0NDQ2Oq0Iw6DQ0NjQlgmSGUjocrhlh7ZCnDNdMTUyXpdETlFJG+zzEAxM9d7O2zdvmX0pt33s3M/fPfKTr9ClW72zm+4TnQ6F/f3dqldjdk8zzFtGEinbk0ksIN464btkAYwOG7mMkNUxfxqOF0ZCYWTpl+zD4QPkDvismFlG4vjKGR6E3+oadZF+zKrBKfCh2HvysqZO7viSkcDoVHz6P6H5so/8fnrDnrLZx9Ntz28T2UZksqkmSccr06AEnSU5yyisLEd8YfPAqDOYI5hz3gPZ914D8pPvJRjCEx6PSmMWYKIpOKvcfWvgZhqy37M1x2j9/YGSXn+M3ra1mjGmMbbCVyfzB67NSwxVDwLcxrB0sBzFoJeWubQSdy71rL34KFpeo1qgiK2wa2zeI462nIeVXRy3P3wabdxr3lnR7ZCW67qA6qoaEx9WhGnYaGhsYECC+OVJ2X/WH8ULRtIWnhPsw67XJmHPB7lWE3GkNIGKbIGHR6A9mHn+5tt/WOL7/gW20zMkuUzncMqSUEdJgxIqpSmkhFmsCfjbiTQpn1QSKRe1sIwT+c1I6/Bl8gQlLiIXwAd/v4RsCOROZ5iwAwJYRSvOxoJJ2ETm8h787ZcMJyKPA8/cf556gNbhZta856i1WnvUb3D2N74CRJj9mSOi3hlwBGfTxhpnlEmvcGDJMqxGMOH8mbk5AkHcaQmElde97RywCoXfGIuG5kPxiEoWsMiWP+sU+Ts/hyEnIO9M4xhcaj05vpax1l1A20ABAuHM5E7A/he4DBk9oYugDkuFGG8SX/hutuYYanoMqGAhgOoLsnO2GVRTmPOwN0Zki5XmkbXvfbljeQZVhphFVmaL55e+9GQ2PnRDPqNDQ0NLYC2TH9r5tDE9KQJB0zDvg9qb87nHnnj/00FJakFDDZ+My/aPr+A1W/va/bq28HYOvpIDKzgJm/P5+8o/+MITRizCqbE0WSJEJnC0PMTC6Z/FfVv54crIyvrxeZPwOMDrCbaXs+uPbYjkbcflnM/NvezHngcIyRiucuKrMIMnyMr/RGpNyxPWydX9WOez3rcD09XV/gsE+fRzPMvAvgZGXjDEobghfKGU3RwXcz94j/bNU1DWblRUpruSh5aQqNJzp9d+Ye/gB6Ywgx6cIFllZ8mqc/AUlvxO0UkiCzDryDmIw9GO6to371U97cvJbuhyhdvpTS5Upe6ojh58Vig3lraQu5w9s06K/EgL1OOTYrUaNIo1JLt0bzbmfB5fOOqflGoeHX8cT224+Gxs6IZtRpaGhoTJCc2/K9x7rQ4ILlU40k6UjZ9UAMlrHzkMzR8WQeqDykNv/wEaX3XoatTzxRDTQp4ZbdFWux9XZgjo4ncsZMJL0eS3T8lBh1o4nnTHJ5ixkoIYi9vDfGDB8MIlSz/upfjwi5JElEFich6cYX37bsOhXGqggZHBwom4K1AqOXwlXnLvdAkJFqQqIyMIXGjT8wCFGpwuvZuE6E8SbPOp7cxZch6dTFepLyjyRr14tILjgKl13ZW2hMNmGxHr3Fivcw5XqkH5LVBlxH9Wc0rHkGvTGMooPvUvVZzUoYpjOAA9zmI19pHqVAMa9dCfmsUquA/Kbw/Rl5Pq7UBk4d1tDQ2Eo0o05DQ0NjgkTvE0vUnjGEFobhtrpw26deG2xbiZ+7u1/b+iduQZZlnMNKHuCWd57CZbNijlZK8Zuj47H1jl+2fmuI5igSOJcwhGelgSsnNC/zpmzv8dZq8O1IzJ7/kvd4Rs5VZMz/05jje1c0MbB57H+T/CIhEF5V/lfkyahkT4KEcHWRFJtzfA/iVBCXta/qPH7U+QiSpCMucy8kncGvsqbeqOhM1ur+CH94CvI3e9s2ffZ3aleIFw56UzghUTNYcPxzpBSd4B2T87UwAm0VUHGE8DTVelL5rB6DJeXvkPWUel+GeJhbI45H5BHqVj1JV903/JawVgZud09fzSkNjd8cmlGnoaGhMUEkSSLvX4UkLkkBN9ibd8yqjBn7He/XtvLfl1P/xeswSntutFHnGOilfe0E6rdvJYX84Dly4aBtzLEAMfNyIE54D52dO54RPVksITPILbid3ILbSUg6lrA0nwqTnqqhBTftR9IxShxf+d8+G72MivDIed7jjWtOH2Pk1qOTTCxIqyLSIpS1m/pEwRK3PEx118XYnBPLk5wsvnp2kckL/Dx0gcjb82oskenk73sDALEz9lQ6LcNwxHugkzGYhS7gYKd/KLBObyJ19lLS558JQI/xZfRR0PE49HmczB2Pi8qW9ReIc/1p79M7+IXfWpKPvOWqCJn2yg+o/vF+v3E7I7ITas4Sou8AEfup++v/Ir43XgPVp0LbQ7/s/jQ0diY0o05DQ0NjkpjTRVUEW4N1O+8kMInz9yQkIS1gX0iCuky9ZZRRB1D36SvTtzkfNgYoojIavdkIs0RY4Y4kQu5L68ov/aQgxiI6dm+iY/cGQGfSk3JCEfk37EvBjfuRfGwh4YXxpJ9aTO6VSg3+sbyUvjIX1uFa2lpe3Yq7GB+dZCInVjx191o/wi3b6bN+SdfQazT0TExGY7IoxVYgPnu/MUYqWCJSmX3IPUQkFAHCQCs88HbVmDmHP0jenn/1m+v7swSImyF0CrrqvsEVIFK26hjluGHNf6n9OXD+YLjHrnQPSOAQhmnNikcCjt2ZsJZB5xNCEgIg/zMo/AHCxcefjkeF3EPL7dD1AtRfCLXnbb/9bisDP0Dr3dt7Fxq/VTSjTkNDQ2OSmNM8Rl3jjmnUAeQcISML+yYAACAASURBVDw2hhB1LpQ5Op6YggXec1Okku9kCo/6RfY2C5Gj5KSdOi5AZpywynCRI1V+XDv1N/bQePv2L5oy3NHMuidvxWkdpuHLNyn/3wPjTwpC4tJUBoueICw/mrRT5nrbo3dRDHNn/9hxamkzlCfh+uq76Wx7j+GhMWrwbyV6nfJ5WtWYS1Xn2QC4mZ44Or1BKSsZmTx/q9cJi8lRhVOaQuP9wjRDomaQvfvF6uubfP7/HB/cWI5eOrYXWRWW2S6qyXZWj+2B3RmwBYjSDdsNcpYr58NqSUA6Hp3ePU0n5Yuh4QotrFRj+6AZdRoaGhqTxBBjQBeqx7qDeuoALDGJlFx6D3PPUouFmyKiSd39EO+5zqCEs4UkKkZE25pvp21voSz0HrfzHyo5jG5e97Y5aKWLl5XxRUoVxLZlA7Q81M/gqu371LTx2Tux93ayefmD27xWI1fRyDX08r5fX8RsYQDYWsYuTJKcdgbZMxVvWU3VLdMWipka6Z8PKcuOabkWQELuwaQUnaAy8LaG+GwhHJdceCySpMNgUr/wKDzwdsJiclRtkiQRFjtTnBz3OsFIW6YUXhnu85eXMOdC/jeelxctijHpdu6YIdxThW+BFMss5diQoBxvPsB/nuvXUxfJi68zvf9z6P8KhtYEH6+hMdVoRp2GhobGJJEkCXO6ZYf21I2gMxhV55IkYYqMDThWbzSTe9QfAaj/7FUq33py2vYVyyne4z4+ZAtKHuBa0qjmRG/OXdZJ/k99m44ePx/vl2C4o3mb1xgxaF34l1accZYwgMcz6kAIkY/G6Zz6p+OkiHP92uyuqRc/H2HGwrNInb10/IHjYAqNo2TJy6TNVT57EYlziM/en5IlL6MLkq/n9fCZ7fDyUvH14AXe/sSLZZUcwsYPL/Nbo7dlNa5Yj4XTkkz2bsIjONCxc+sc+Bp1M30UViQJCleIY3eAj+hYQu87Kn0+91d5KGzeB8rmw+BP229PGr8tNKNOQ0NDYyuwpFt22Jy60ZRceg+zThEPmtF5c9EZDEh6A7GFC/3G+hZO6a1aT2/N9JTJj+UMvzY3dk8ophCYbuJvOOnGHBcFR77tN75z+eC07G08BpprArbbByYfFirjwoWobmnDPy/PlChkLHpXjm88Wiwz/Nps1qk3tnSSGQkTsaEnEGIU7hebcwtu9/CUX2u6yd/nH2QuGjuJKyplAbm/G5V/l9gOOVWQvYWEW1rpa1G7ZPrbyxjurcPlGMI20ELl17dRvek2CBnC0FvozRWs+PrWKb2fHQ1bJYSWQIkMplEfz9HyDwA5ryrztifObhj2/Opz9UHHMrUnLuCcIO+ZNu02tXvT0AiGZtRpaGhobAXmdAu2Jhuy89dRZj80KZ2SS+8hPFVIBCz8y7/IPuw0v3HmKLWmWOXrj0/LfqI4hIWo85AqORKnT0XMDh5nDbHoTEYI8Tegay7rpvvdIb/26ab8pcCVC9ctG1scPhAOFKPLhv+TrM4o9BC7v6tnuH5so1FvCGfhbl+p2qbDqANYmF5Fduy9FCV9RErEJQBUdQkP3oDtZ1zu7WNwTxeWUfl3ANx+DdxxNRve/wttlerQ2c1fXM/Gj66g7JNrsA2Kz7TbOQjJLYQMLfLL59sZkWXo+wjMeYH7DdHKcdTRwvCLPEicdzwB7u34zmz9TNhYJHICV0dB7dnQMU5dG1sto4sLe+l5Z8q3qKHhh2bUaWhoaGwF5nQLuGTsrTtXTozOaAJA0ini6i7b8LRoxEmjnoD6+TigYeO0ejxAx78KR70FRyhPSFvO62K4pRPZ5Zry/QXCZfd/0tSZPLlesnvSPyerz/0GundfNl7+EW7n2AU5JJ2BeYveo3jRu2JNq39+11QTZhIe3z7rV3QMvkR5+/Gsbiqc9uv+kpjCEgGIzdyb4qOXMffIRyg84Da/cdm7/UV1bhtoxtrv42VNasW+xYDBFE502q4YLNHsrHQ8CsjgaAo+psCTujtizOkjxPe+D2B1zLRuLyjuYXB5pCHXZyntfR+BPMavGVslmDIg/wv/vqqjoHu5f7uGxlSiGXUaGhoaW8GvoQLm1lJ8zo3MO/8W7/nq/1xHy8+fTsu1DMSrzq2oc4yM/YWsefg6UpfMI/mQRWCxQYg6zG/jzS+x8spfRvfL1iOe9mILF2KOEQ/68UW7ePudw+PnvqnW8xhykRwW1KjLumhX73Htf34ed02DMRqjMQajMf4XMeqiQkakBlzUdk9MVP7Xhk5vZO4RD5O56DyM5khMIbGExapdUHFZ+6k18TwMtG9QTpJbsFVLyE4IjcnBae3B5dz5focA1J0vvofMCz4mfA+YUwUJF/j3yVaQt4M0pW1L4PaeNxRdvYDzKoVXMmIfpS3JJ2p34LelN6+xHdCMOg0NDY2tYESrruKSMty2X78oti/GsAj0JrOqoErnhunJ9i9iI3OoJBGR81fLWQAU8iPh7IWjSzzwNtU8Tsvhngfm0SFObwmxsK5V/iLSU42tRwihJy3aj6LTLiPzwKWk73MMmQeJQh5rH72e0nsvo2tT6cTWoxIJMxHsg5MOXPiHWIZmKt6crm/qJrxXsyUdm7WBmspbKf1+D0q/3wOHvWPC87cFCfMvcp1fElNoXNBiKnpjGJmL/AvIAHQ3/OA9Di0KBSfY6/GGYK5+3T+/9NeMowVKff6PZvx77PHmHFE4ZQS9TwS4Y9vrEE2asfL52gPLEDJYCoPfg8MTPT6nCnLfhLR/QsoNnkH6wHM1NKYKzajT0NDQ2AqM8UpVSVvzzvmmvfBE5bW02zk9JeuNJGAmlzB2VbWHsSuxnA596rLzksHzZ+vgD6HIxwPyxT60f7dWNXbzw69Q89JHU7bX6vefY8u7TwMi91BnMBE/d3cknY6w5EzV2LbVwSUhHLRSikQvH9LKncjYMCPK5tvwL/sXMiOKvGv38p6XLl3OUE3PuPt1u60M9K+hs/1db9va0qPHnbc1hBqLvccGXSIyNkobMihtyKCh55YxZv66KT7qcZIKjmHeMU94hcvnHP4g+fveSOai873jwmJnklRwNGkHikqu63OgesYefuttmAv1F8NKM3S99Mvcw1TjqzsXdSRIkzRmitZAvHi34zWwSvXCUCwNkrO2rdRdJNauOEK5Zr5Peqp5pv8cZ4eY03QDbFok2mSP0oo5B6KPFsZq6vWire1eqLtwevavoQGaUaehoaGxVUiSROzBInTw11IFc7IYwyNJKtkXAMdAL1veeXrarhXDEr82AzHQ4/FStaSA1UzaFaJqIFF9UOgTqtmeiLWlkw23P42jXxTp6K+op/OnDUwFzuEBujat9J7rTWrNtJD4FNX5YHMN1q7A5fBqPJU/61Ge8MyIUD5rkBDMqPnJSCbl6bjsqo9peWtsz6R1OLBXT3Y7x5y3NeTF/5e0qOvIi3uajOh/qPpaB37FatLjYLREkV58qtegAzCHJRKRMIu4LCUOz2COIL34NCwzR3n6lr4Md12O0z7A4I9gXQ9t9wvjoPGvQgqh4qtbkbdHHOJWYvf52MWePPn5pjRIvlYc2yqh5U7wrak0Dem9tHvkJvveE+LhABHKexSK1gAG0HuCFxytsMajtdd8ozKu4MtxrvPQlGxXQyMgmlGnoaGhsZVkXJoF7LxGHUD63opnp7ti+pR0JXTMpY4IDqAA4eWKko+GFUq+Gg3pyIm1WOZ7itPo3TBvtbfb+X0e1ocOoOyPa1l7k1K109bVN6E9dJVuovGdwIkvvdXjSzvkHXeO6rzphw8DjutDeA9HcujSuAMzor57NacGXd/skTdABrpiaFymNup6V7dQ+8gK7/ns+S8GXKd2y7+C38RWYtQnkhxxHlEh+2PUJfj1O92Tl3v4tSNJOmIyhDdObwwFwJgWYOBPu2EbaKHmLP+u3qZS+lrXYB/qnMadTi2+4YvBKl+OhykDJCMMb4TGq9R9ztat31swzPmB22ethuznQRcCabeBqwucPbA2SPFSY5D25KunZp8aGmOhGXUaGhoaW4k+0oA+Qu816gY39NPwUK1qjL3dRuke33u/Ot/bMUSzJ8PM3ythZG6HfdquYyKDfD4hHPEg7OgfVXTk/cNolK/GesY1cMwboi2/grBTPSGL5aLiouPHDBw9ytz1tzyB7B7b0yG73FQ//z4tn/0csIKly+e+w5L99eAAorIKKVh6EZY48WRnCo8a85ojxHIyejwGG8G9aLlX7AG9kdAXCUNh0JGAtVmRdKi87Ws6PqvGOSj2ajInkJkrXB66py+Cey+Fzlg626e3vnq4eVe/NpuzNsDInZ+sXS8kMf9I0ucJ76wkBTZ02h8TXjpf7HXQt0yE9fqKm++oOLuh5kxo+afStrVGnWQA2QFt9/j3TZWGXefTIqxz4HuwbVb3pd0pvofOg1iPVv3IvawJUpUza4xABm9eHaK6pobGdKAZdRoaGhpbiSRJmFMttL/WStlZ69h09npan2/C2afkn9XcpH4CqbmlalrkAaaTiIw8DCHC6LD1/jIeg6HWBhq+EIZbyDxPIo3TCBWe5JZ9viLm3B444BMGpe/GXc/WHjwHzdrezYY7lCey+tc+V/p62mn+6RMavnwTgJj8+eQddzYAMk4auQ4HiusgPC2b2WdcBZJEa+kXVL39FC3r32cDRfTyHjIuJEyq6xtJ83wXIZxVHO8RYYcuXqYXoYFmCLdAf6T48rBhyUpa36yj52cfvbtWRSMuPvFICpPexd3lCft75g+wcRZul1qKo/2jKgY2T82/rSQZyI59kLSo65iV6PFK/kaNOp3OQMa8MzD6SBfkvALxZ0PIXGVc5zWK9ZPvE8Jne/hAqMz9VRh1lUcIQ2mExIvBEBt8/GSZ5QkUaLlz29caXicMUNxQ7kltNMRD7GkwZwskX+E/xxLAQNWFQ+zpsGAY4saod6MzQ/YL4liTNtCYLjSjTkNDQ2MbcFuFB2hoo+IZ8g3HNKda/OY0/qcOR8f0ebymGkmSyDtWhBa2ln5By4rPqXj9sWnJ85FdLja9dD9lL9xDT5VwXeQuuk4Z8O6RAERzHFkFV8MR78GFD45eBVw64nab420ZKwSz6sm3sHUoRl/7t2to/Wolsltmw3//SdO37yG7hAet+4g/0Gz5G3Ya6ONjWriNei4NcCPCKOupXEvjxx9jlcuo5AjsNCCj/Nsn8H9Inj/FSYgnyR5ep5/PGWIt1ZxIJYcD0PpCgFKAbj0NdzRSdadi2Npa1B7OTVd/op7z4aHYbIoRKLtl6patpPxvnwX9GU2W2NBjSI44D7PB42ly1kzZ2r92QudB5mNQtBYKvlf3SRHDmHfpIvM5n98P1/6T5rLXsPaPIfi2HZFlaH9UVH8cIeqI8atejkeUT02fBcMQMksc974lvJilEvR/HnjuWLjtsLHYvz3vA8h+FszZgeeZctTnxc2woB+ynwGd/695//kZ4nvNHya3Xw2NiaIZdRoaGhrbgGTyL8e26az1uIaFSq2jx4Eh1qjqb32+ibXHTKzk/Y6COVrUGe/c+DONX79NX80mBhoVQSe300HXppVb5YUcam+i4eu3aVv9NeXLH2KwuUbVbwqPJqZggTgx2qExlfiuq9ARQiQHQ1oT/LAbAJJZBiRoT6B/yYVEzc0CUBlto7G2dvm1NbzxJX2bA3uX2vg3FRxMOw8D4MJ/fnjqqCfD4RAA2hGVElK4HhMzSEOJVYthqfe4ggMoQxH4avjfKlqeUQwxyRz8z7evURfs38M6WO89tncoIZyOnqnND9XrQgE9bQNPTOm6Owu+3joA+bYr2fDBJdRZ1PmZjuFOyj65Zkqu6bZB4zUwOL7k4YSwVUDdeeq2zP9u+7pZT4gcxMIfhdEk+fwaXecpNrt5f/95bjtsnA89bwVet+ORwO1hJWPvRx+mHMeeETx/Lhhj6fVpaEwFmlGnoaGhsQ2k/CE9YHv1PyoAIU4eVhTuP+DXFYGJwRLq17b5lUe8YtxN371P9fvP0V9X4TfOZRtmoLkm6Nplz91F64rPqf/8dT+DDkDS6cg5/HRi8ueDwwQvn0jl0y8z3NGEe8DzpJfWBPUZzHzRI2b+9d7YdZtxnHkXOpMBW6faqJNdLvoq6rD39KsvFqMYaAOto1SIT3nee2iljF7eBmCQn6jhz8g++XA5R4x6Hb9yIQCtiNixeP7MXGrRo4RSmkgnhAAuhNoZtN6nNrby7ihQj3EqlTF9jbrmVzZ6jxe+dIL3eKhJ8frYWpXxa895G0efDeeAncGKqQq1deF0d9Iz/CFueectKrQ16MPA8HdPdVCjHZLacDutyO4huOty1Vi3c2qSsZpvgpbbYZN/6uNWYR/17iP692D0r5UzaQzxUNwAYT77zBjtlAeGRxW4bfobDK+BqmOg4wlovVfpG1oFbQEqUJpzJ7an8L2FBzF7KwoB6yMg7swgxXI0NKYAzajT0NDQ2AZi9o+j5LvF3kqYI7htbmS3jK3RhiXDgiHaQNhstXHnm3v3q0R2s/6/t9K2+mus3e0AOIb6GWprZKhN8SpVvf0U5S/dj3N4wG+J1tIvxrxEaKJiNA+1q8PPNj57F4NPFaraWnLVHg5JcmGKjaLtq1X0ldfiHLJi6+qj6cMfqHj4VbY85VM0JKIPDIph1vK5R6jqmDfg0nshKXCRGxfddPIkjSgl7ozhkcw730ef7eddoUupsDCSRwei+Ez35tXIskwRawgdpdnHyf6CZZbsUCIXK3latKSQd+1eWGIT6fysFrfNyXBDH83LN4LDQO4Vv0PSSRTctB8APdXraW95neGhGtreV+d9rj3rLaru/JZN133mLboyFVR1nkV9z43jD/yNkX9SYNFyZtQTfrGnuuuwiO8b6NwceOwksPlIIW5rBLXbBj1vK+dZz0LuK9u25lgEKrxiH6Xc4exQjmvPgobLwOYxPMsWKkVRFroh6a/iePbY6iBeCr6EvDcnt2dfzHngaBRFZTQ0phrNqNPQ0NCYAhJOSGbhV7uhjxAeE9egE0enHdnmxpxuofjtRRQ8Mkc1Z3DDwK/fsAPqP3+d3i3idflAQyVlz99N2fN3e/v764X3bv1//6ma17Licxq+egvsRpWnCWD+Bbex8OI7KTz5Em9bbL5//JLscLPQJ0etz/IqHP4upAgDUE8c1hbhcap49DXW3/ok6295gr5y8ZQ3WCcKUJhnOSGqV2XUYTMLj2qs4r0LY/egPwdf4XA3wzgtdaRe4OPJffpM732O5NE5BvtY9eDVbHn3Ga+BO9JHXwQRLaepL/L8KSz8ajdMCSby7iwk707FqLU3uLGuNUFTGmvPe5fByi5wS9CaTPv/unH2OzEnixcL1iordVV3sfHTi+hd4Z+rNVAmnowrb/s66P1OlJFiKQBD9umTxfi1Yh7J1TrgUyKT53vb47P3J+F34jNv3LI39ERh6+sIsILA2QOuwaDdANgbQXYp59YyGPgGbNVbt/e6C6D9AXE8vw/iTht7/LbiW6wk+jjx3ddIBVSadiPYA9yfJEHaP2GhffIC6VuLIVF8DxQ2qqGxrWhGnYaGhsYUIEkSkkHH3DdEYsZQ2SA9XwhjwJxuQdJLSHqJ+R/vQuGTIpGm8vJNrDl0RdA1dzQWXHQ7KbsfMuaYjvU/eo+dVnW4mMs2TJ8nPNPtctL4xbvg0sGbx2JZfxKzTrmMWadcxrzzb0ZvsiDp9Eg65c9UyuJDA16zv7aauT29wjg86SX4Zk9oTiVi+CihBeezhmtYVH0cqleLXZnjozGERaCz6CGlCZ3ZADYLIEO0orE2kw8pRjGCfEXT3Qx5QzA3sQcbmEWT6XI4SDFq6I1iDpXIshundZi1j93g7Rpo3ILTOkSEfJBoOPRD+o//P2XuM6dDdg29hndFFU2dhHmGUqHB3qgYpK7yRGofXAEOEZ7a930faw75GUOUWdzTj7vDpwdAd5D67B4GK/zzBSeLxZDlPXbLdlxutcfWLVtxun67rgudBeY0W5n9UgnmsERve3hCEZaZImfXceNZcM7jtF0eONwbRKn90QVAZAe4h4Qh1/4YrEuHHh9P2sY5UL4XrM9RG3sTpdvHiayPmPz8yWLKVI7D9xTVJ30lDtx2sG7yn2erBGeAj7IkqXP1ppuQIvF9ePX0iKhr/LbRjDoNDQ2NKUQforzyrb+3BgBzmvLgrQ8zEJKtzk9z26e+iuR0oDOYSNn9YIpOv4ric28kImNsESpbbweyLKM3K/c/2CI8ZP0bW+C134svwFphJzQpndCkdAyWsIDrSZKkCsccoePTetYdvgH2/RI6ErzeNnP9ntipZv5t5xC7sNBv3giGiFDsfZ2Ep2YRlpIJBhduh6fkf4Nak05PJEZSKKaJeXSSzYvkIuKx+viIlRhx0ccwiig6aUooKj3RmMih7Pl7WPPwdaq1e7dsYM3Df8PxyWxmOTaq+iIOdmHME/loVRzNWlIBsGSEkHiSqNjQ8nSjag5NadCeiD+e4j7r58I7R4njk15k/jPHEXtIkt/o1vf88yQng04XQkHCa+ikcKzOclY3zVKJka9qnMma5mIGbD9t03V+zZiTLViiErFEihKJqXNOInbGXn65XkOvz2AwwHugkTBK+6g00DWJsCoMKg6COp8oT0mtqiHm1vu3jYWrH9zjeAanGskARqH8gTlXfPkadasjYfBHiDhAPc9aqYxLuAjmbSct9/DfKcetd22fPWjsvGhGnYaGhsYUU/Ss+nW5KdGsOteZdaqqmfZmYUBUXVfuFSl323ZMQ0+SJELikzGGRpB33Dmk7XUUllh/QwBg0wv/xmUdwmVTimM0ffse7Wu+o39t8DCyschfcgGFJ1+sauv+eFSu20gIZU0uMg6aTf9gxpID/RcL74fYToquOgNbbyfmqHhyj/6T6DMpIZ2We5Yxkw+ZKX9J6eX/pvG9bzGSgoFYJPREc7Rq2dWMEh2P6SN9bzEmqfdWJCSG2wOUp++LgOVL6LwnEl1Llqpr5t9/RxFK6KIT5Z6j94rzXysIjo4g4b7JLegtBsIO8Jd+aHhqNb2rWyhdulyEdG4F4eZdiDTv6T1f0zSH8val9A4rNenL23+/VWvvTCTkHkT+PteTXHgckiShj4DwvdRjApXxL39VUel2u4ULSJbB1RN4jjnff43Kwya3V19jak7N5OZuC1FC1QRjGljLofddqL9EhJHKnncxIXOEREHB12AuEHv1GnXnTa1+3tbS/p/tvQONnQ3NqNPQ0NCYYiw+nrjYwxKQDP6yB776dRtOXk33l530fK48MNuadvwqgTq9geRF+1F48sXkHv0nIjNFRcZZp41U7ZNZ9+StAGTsrzyw1332Cq3f+guGuwbHj//Sm8yEJWcSWn4yLF8ivmqz1IM8Rp27VnipWrkLvTlAjFV0D4QNsfax65BdLkyR0ehNHgM8TnmVb23oo+mBbhwr4kGWafnkJ5o+VAuMzSWA/MGrx8Mpz1NMC4kL9xF7+fInGr56WzUsdY/DiJ+zO7R4aqT3RrPhRMXTl3l1DpJewoBivOlRiqSY05WXBnFHJqBPVwuL+2JrsFJ0z6gQ2vh2kGDTurOpb77N2ywtWuc9Hsmt23Ttp/R1r6D0+z1oa3k16HUmwoDteyo7x1BsBqyOKkobMrxfPcOK5l5r/zJvu8PVvk172VGQJB0RibORJOV3Rv4og2x0AVH7UCeDt+3nPV+ll2jd/A4r//unoNcpCGAYjg5bLN8Hmm5SzssWQevdIi+vVBJFRwBy3wBzJr8YGf+GnNcgbJHys2i7T4SRjqCLgKhDRIimJU8YdNWnir5gOnS/FHM83lR7DWw5cbtuRWMnY5uMOkmSlkiStEGSJLckSYt82rMkSRqWJGm15+sRn74SSZLWSZJUKUnS/ZLvby4NDQ2NnQBJp/xaSzsvI+CYgkdmY0pVHsa3XKOuamdrnFqjztFhp3SP72l5tnH8wZNEb7IQnTuHrENPJfOgEwlNSPOGXLrt4j4i0n1CNRtTYfUC72lIvgi3nMw9D611Bu/UuUFyo6ue7W1y+xRTyb9gCaFzzN4oRN/7AMg6+GTQyeiP/9LbN1jdRM2LH3rPmz/8AbdTMUJNzCADT731rhg451G4+wqoyWbtHpWs/N0P3gqGraXqJ+r4ObsRV7QLrJnPaFLPziDuKCWEcg5VmMnFzaA3f8+UoHyOYg+MJ+GALL91DDHCqLU1WglJj6ToroOVzmRRLGZwwFMb/vRnIKOOyCNdJB1dMHopKs6thvcOo776bhz2iXvusmLvJcy0MGCfXieM1NKGDFY2zvS2dw4tV42r6vyj97ihV6mkubY58LoTYXP7SZQ2ZCDLO2bRIkkPMz+FuBc/gbgOrBXqlx+9zaWq/08ADffVKi8JAmCIhznVELYHLPCEUOoUdQ2G1sLAV9B8vchTcw3CUCk0XCHy8nyJ+IWLfuhCIcZTJGVugHcpIcWQ8jfl3JwnJA6880Omd3/j4WtUdr8s8h41NKaCbfXUrQeOB74K0Fcly/J8z5evLOXDwDnATM9X4Mx3DQ0NjV8x6RdnEbEoCmN8gOQVwBBpZM7yBQH7QHhUppK218SDe+PDdeOM3HqMoeHEzxEi4MmL1Ekt5qhYJL1BnHynJJaEFoaRdY0o/zdV9yzFDYPByeAqK7QmwrmPMNRTwczzjifnzCOJyE1nqLfSb96IwHnc7F2wXPohEXtKmOKi/MaN4GvkAejweGg/Oljkq40iwqqOb4udtYjIzAIMoRGEpQZ2dSSfmaby2pjJIZmrkXFQ5iN9YMkUT6qmVDMpf8hAF64j8/pMUs/OoPjtEorfLAG95P0ZmxKVvEXLoaMM/fhOOOFVHM4W0k71vw8AykWO4uaNfwncHwC9LpzCxDcpTlnl15caeZn3WJatOFytnmP/MOT2gedxuYf82t1ycA9lMFr6H6Hf9i0AVmfNpOf/UkTuDxGLzZDcQtcLMmsy/6e6UAAAIABJREFUHNR5fvRulx3Mo/7v/OcCeOEUcXypEpqZ894gOR472ZwFhd8KIyn5Gk9BlZHI5TOVpaxl/rl6vvwSBVKCYZrh31a0BnQ+Ee+BZBC2NzkvK8d+1Ts1NLaSbTLqZFkuk2V5guoeIElSChApy/L3sizLwDPAsduyBw0NDY0dkaQTU8i/v4ixghEkSaLg4dmqtsjdhcdiPANHdsrU31dD/b+r6fu5Z8yxADrTLxttL/uoq4en56IzGClYehFJc308RJZhZj1ZjDldGCQTNep88w0tuUZRQORIJaRRzl0HRgfD692w+Cd47wjqztcRmZ9JTPHMQEsSc5odt76fOi6kgyexshEzeeT96Wj0IcoToiVJScbpXqX+8xeLJ5bq9eMCXmN4VYiQNPCEjSZmHc3M489FkiTcQ/7GS+69eQE/P3pPzt4winGUc1s+SSenYE61oLPoWfDRbsQfkkrKH9MxxpmQDBLmVLP3Z6y3GAjNiyV2rxkUltyvWj8r52akv93B0PvxuJy96CKCf4atw1toa15Ob7d/OG0wjPp4ilOU8NKUiEuRUOedrmveAwCHq9lvfl3P1bQPPuPXbncGr/Thlu3U91yP3aler7H31gnN3xEwWqIgqRVcBpwNRtofgMory2n9Xz24dVhOWw23/1WZsMEjoVJSCktehluuw7hrIzEn+K9tzgOciubbsI/dba8RhUYCMfOjwO2/JPmKQ53MZf79vkbdnCD38UsTswRSbhDHG2ZpunUaU8N0/pXPliRplSRJX0qSNBLpnAY0+Ixp8LRpaGho/CYJnRXuFZHOuCSLmffMIrQwbNxQxKHNA7T9r5m2l1uouLgMeYz62NU3V9L0mPLAuunsdQxVTm/ZuoTixd7jrINOAiAsOYOYVKVYRtpNwpjTh+kxxBgnHH5paxbjsm/IY/aziyh+Zj9Krr2NqMMN8LtvRLXJkWIpDlGNdPgbxZ3gdopQzNTFh1Jy6T0kXGqnO/wJyu55ifbhJ6jlzwCYySMkJZ7i6xVB8+T9d2Hezed7z11W4R2S3TJtz3ST920X1KvdB+Y0YbA4Ox2Yyo70tm/60zrq7hIuEFuDWCfpLyFwyAeQXo8hLbDnKZLDlXtBjAnJDiX9oixV6O9oDNFGuj/rxG1z0fRkPTOv2Yfsi3ZDrw8jv0iIjaVmnI3rm9nIwwZ481jWrjwO95HPQ9EGuPjf6gWt4r7qa+6lctMVQa8bCKM+jpL0ekrS60mNuozYUFGFMz5MJD7J2JFlJ13DbxBqnEtJej2zk5SwVV9jLDPmXwB0DCr19YfsZarzftt3tA08SX3v9d620d6+lv6HJ3UPvzTh8YXeUNkReu8qwPGP88FhInHP+ZiLh2GvUcFTJgexV7RBfgW2AbWUxwgjhk/nc9DxpLqv7QFof1DdVtwGJTJEHrQtdzQ1ROwNabdD5hMQ/2f/ft8KoqOriW5PEnxi2Nru3X770Nh5GNeokyTpE0mS1gf4OmaMac3ADFmWFwCXAS9IkhSJXwYDAEGfRCRJOkeSpBWSJK1ob985kqA1NDQ0fNGZdMy8exYl3y0mcamo1W1Ot4zrtWp9Ue1xsDVaaX+jlaZlam+D7Jbpel/9+3NwwwBlZ6ydgt0Hx2AJY+bx5xKRMRNTpKKF1vmB2EvR8/NI3lMx/IyxRjrebmNgbR8933RhrRumf1UfgxsH/NYeyT80p1tU7Xl/24X0k3YBoxPi/KtrOq1DdKz/EVuPKIJijo4HYODfiyC/Avu9R0F+BdxxlbgH4hmuGaJ/RT8hKWJsVFE2hjDlurYOUZp/uGKIxkfqqLxSXW1iwZe7MWe5ku9l36QOx21/rZWB9f2U/VH8e0TPnYEUMwyLf6Bny0q/ewDQE0YWzwLQx8cBxwRicF0/ABvPWEvzsgY2X7jB2yfVzKQg4kNS0v9I/d2KUrPstkFyKxzyEejUf66jes6c8LXHQ6+LoCS9nsyY271tvVZRFGXIIQq2WIx5JEX8n2rewrQaoi2i8EvrwKO0DzxLaUMGZW0HU9t9pTdPzukWrhBfjTy7S52QNWD/gZquK9ncfjKyLDNk30ifddvF16cKnd5EzvGnBu03xMOcw+4neZ+9vW2Rt3xN2txTyCw5F5CwDbQEnDti1DVfD7Uew8jicfT1fwr9n4nj0EUwrwOMCdt6N1NL8l8hPkhdmJEcttBdA/dvLww+aiOt9yiyFBoaW8u4Rp0sywfKsjwnwNebY8yxybLc6TkuBaqAfIRnzjfFNh0IUNfZu85jsiwvkmV5UULCDvYbRENDQ2OaMKdbsLXYkJ3KX/mmZfVe75qzz0n3p2qhpQ1LV1P3ry00P9mA26HM6/1u+8X1RGYWkH/C+SoB8fZXxEOlb/VPgOEq4TUpP28DVVeVs+Gk1Wy+YAObzlqn8kL2fNuNtVaImo826gCSSvYVBwP+iT4blt1H7cf/o7JCVOc0R8fT8mQXw3ePkjt48CJw6QhnTzaesobKKzYx64rTKLnnUgxhwrs46/LTALB1iNBXe7vaq6YL0RE6KwydUdx7/gNFQX5KUH7Oeu9xSHYU884TJQdbS79gqK0Ra5e/d8VMFgBVHBVwTScd9CGMooHGalpWfE7iueJnYqsXLwyGK4bo+bqLjtK1lJ+/gfJz1tP8VIN6IasZ1s4VIvEAc9ZBrPjs9b6o1luU3eriNTZrAw01D4zpRQ5ERvTNYn8OESuXHHGhty896hrVWEnSo9cpLw3qeq5V9bcNCLeTzenRR7R9jcstjNuRHLpZie95x3cOvUS/7Rv6bV9R1nYIFR2n0DUU9HHnF2csT1O4xwk+kk+WdCXMvG4vkguPRac3YgqNC2rUGVNAGlVAJPMx9XnIPJj1MxgmrqCxQyAZhFdx1o/beydqJAkyPJHP7kFouBKGN4oiNRoaW8O0hF9KkpQgSZLec5yDKIiyRZblZqBfkqTdPVUvzwB2nN+WGhoaGjsAlnQLuKBpWQPtb7QysK6f5icbKDtjLW6ri853FI2yuW/4V/0bKhfGnyzLVF2l5H35VlHcHshO5eFeZ1b/+YneN7hwVOWlZVTfUIG93U6VjyfMEBlApgDQmSwwb7Vfu/OtEgDsP4iqgK6Qdhqv9y+4ARD56lMM/WQCmwlkcPWqDRZzvMhrs3qMutGe1YJH5zDrCUWvMKJEKbgSVhxByXeLyb7BP79PH6r3VuEEKHv+bjY8fYffOAuKkeiijyGP2HkXL2OlnPXkUcFBDLGK8pcfoPHrt2k7dh+/dar+Wk7tRUoo7kiYrj5chK3y3Gnw9Jnw0AXw/qFw4Cfo//CB3zoAQ4PCgyrLMv19q1m/aimtzS/S2z05b5fZIIrGtA2IBKmUyEsDjrMYhNiaJEmk+BRa8aWh9xZk2Y3NpwjK6qYiGnr/SZ/1K+/1UiOvUs2r6DjNe1zddeGkDdPpwpsfdvZjfn1Gj1zkiI5bzCjZP3N4Mt0NP+ByDOG0DzDcqxRNkiRR+t8XS6H63LeCpMbUkHiRctx2D2ycDWXztt9+NH7dbKukwXGSJDUAi4F3JUkaKQW2N7BWkqQ1wCvAebIsj9Q9Ph9YBlQiPHjvb8seNDQ0NHY2zGniob7lmUbq/rWFiks2evtW7f8TDQ8qYWOBqmuOeH46Xlc8PHNeXUDWNbmUfLeY1LOFzIJrYAxZgClGdsqsOugnAGIPjffrz/pb8BJ1fT/10vVRB+uOKfW2zXqmOOj4whP/AsXr4SLPa3CL8OxRVgS1Sr5bRcfS4Ne8fD8qz62BtiQYDGNw0wC2Jituu/CC6s0m9KEW+srFv0Xfz73euTEHxBGaF+a35ojgfNyhIvIktEA9puQ7JRw1bc8jVX0DTdWqcwOxxHI6RjKo4ljKWMAwG6nmRDZQiGvIDlYzZdXH+yzi79kMRuRuHh28Mo/xWJsFnxxEZtcbzF/8BgkH56IPNaoSKDatPwtZluloe5PNG5QwSbt9cukTZkMWAE638AjqJPVnfCQXb3byp942vRQedL3qrgvoGlJr6rX2/4eOwefQSRHodZFEmH8XZLbA5d4xKlnow4XXqeSxc1TtvmLiofPFmLDd1HONIbHIbger3ziTsk+uYeNHVyC7FXkEVZVIPRhioPBnpSl8TzSmgYgD/Nucnf5tGhrjsa3VL1+XZTldlmWzLMtJsiwf4ml/VZbl2bIsz5NleaEsy2/7zFnhCd/MlWX5QnlHef2loaGhsYMwOqzQPRw42WL+x7sg6SRy7xSv1JPPUNedGq5WvFCmRKW6oCFWeLgqLi3D2edAdk//r+Gqa8uRPVUrI3eJ9uvXh+qZ/+nEkl7CF0QGNJpGMEd7vH5GpzDsTnpR6ezy9FnNUOHxlD12duCFHEbv98rLNrH+hFXU3ibqj8tOGVefg4GyVgYreuj7Xnjsit9dRPaNgStszv94V+Z9sAvxxwiPqSUzhKIXAr+WN0WopRTsff56cGZycdBAP6KAyEZ8Kqk+eh48/H/Q4/Oz9jmOOtxA/InBvaPh8yMDtnd91IGjy4EpPgzXgJPC9LcoKn7e29/a9AIDfer4sf7eUpyO3tFLBcWsTx9/0ChCTYqRX5DwBgvSKrxhm93D73h6/NP63bIIxQw3Kx7vCPNefuN2RLmDeYNO5nU5mdcOszeOP16SlEc++6B44bP5q5u9bb5GXdwfxPewRTB/QBRG8a0yOdW4HEN+4bu/FWYGcHyv8X/vpaExLr9sjWsNDQ0NjXExxgXWthuNPkzovkX/Loa5ry0k7TzFCzVYNuANdyx+qwRJrzzQWmYIo3FwwwBrDl2hqow5XfSvUB7q4w4LnCOtD9ETUaIYEyEzQ/3GSCaJ/PuD56cB6Awmis74K5HZs4RhF9uD16XUHQ1uhI7X2SK8r2jXJ5m3NoWkm/vR5fvkHNk8hrBb553e5cllrL2jClbsAitL2PSHMu8UY4wxaAVKnVGHIdKgkikIyQql6Nl5zP9oF9XYkSIu3q30CU+R7HYju124nU5MrlwC1hrzbar10b/rjYKPDoK7L6X3/w6mo/n1gPsEfy/iCP0rell75Aoa/9UFTWlsuuJzut9RwjcH+lbR1aF+Su3p+oI1Kw4bvVRQJEkJq82O/c+E5kSYFbeUxZCDTrKIkEq35P15hBrnYhrDYDTphQc73EcgPTlCxMfZdkCjzhBqwBBjwBAvBMrHIyzW3xs+0L6R4d46ZNlNyGxAgsIfIfMRZYw+TBRGkabpiVGWZVa/cSZbfrhvei6wgyMZRPGZ0cgu/zYNjbHQjDoNDQ2NHZB57y0i+ybF4xM+LwJ9pMF7PutpdfihKVkYIPooMWbTn9fR8abIvRsdohmxIArJrENnEX8CWp4ZJT49xbhtbtxW4aUrem7shJH/Z++8w+Morz38znZpd9V7b65ykS0bsOm9h2qHhBZyCYEQOiSBhISSAJcbMKGEEFqABIiB0E0NAYMLRe5NltWs3vv2cv/4Vjs7ml1ZwsY4ybzPw6OZb74p28z85pzzO6X/O53CW4QbROKiZGa9PI8pf5gR3m4ttysEaiziUjPJmBORUnf+XwEwGNNh+XflcSmAJSULQ7IeX4uRgNNLWAW4Qs4RDis05yvEUs/b6pTC4jujR+j2eK2l8ehtBsWYNauQohO/R/7RIn2yddUKRtqbWPeHG1n3h5tY/9DPaHxwHTji1Ad0RozVi8buJPaLSJ1tRPQve+YSyOwEa8gN8njRcMw2186Mp+dgm2UPt2JIOjKFot/ESI8NSPR80sjcBcJsRKePcj2jUwPePb0VKuJNsyY8d1bWKqakPY9BL4xTgt4A3HgffCiMcKZlvMKMzBWUZ37CtPTXyUm4ibnZclRxRubbzMpahVGfHR5LtS4BpANS1E2WtJLo/Qe2vX8j614+j5TzYcZ6sB4EUvRy1W+E9h3i4UJ/ywHmZLIfMaTC7CaY0w7G0HOHdYbx99HQGIsm6jQ0NDQOQAxJRlKOSyPvmiJAGG3ElYnI1dSHZhI/JXokZebTsWvNIkk5NjUstAAC7m/usfBoXzmAuBJ19C0SfbyetNMymLJsBjmX5mHOsZCwMImSu0XRkCV/EnVhxTNIrzgMe/4Ucs5YDEYPvi/zoTUiTdXgC78PYbOTrOgOgTTnj3u+lGP3bc5U6syFZFTIhUw7XojSzGrNIlh2HXgi7sLfO1E9L6kfqqeLuUMRqZUnvA/HroSkATj6I4rvKgtH6WY8M5fsS3Ipvn0KqSemM+3PUQSWz4Cn28HG8z8gbuRQBvtF3aQ9cQHFU+7AaJKjsi27JxZ1AzDqc4DJpWKaDQUkWOTUyaZnQmY575yCSV+ATrJg0CVjMZZgM88nO+HqsAAEMOiSMRsKMOrFNVtNlVgMxZj0ubj9DRO+jm8b/4iPqsVrqFq8RjEuSRJzv/MEo2moeRU/UGwf6PiS7TuX4nMP7Z/r9LmoemkprVte3PPk/wJMecLsJjPC86dKAq1ISWOiaM8BNDQ0NA5gMpZkYUgwkHxsKhnnZjG0cVDhpDiW0YjdKMW3RY+wjJqxjOJudRNXPL7g+rqMiqWiW2OboYwlbNQRIumIFIpvKyPx8Nh1YGORJImCo2WjkFbq1JOCEo5twzTcXYunNdSWwDhObY8/qLpZBsi9oiDK5P3AplDk8xFRP5Z8VRd9Dcr0VsvSrbiqvdA4dmfA4IcZG0nPPpuuDasJBAcB8d3Qx+vJ+ZH8umyz7Ex9ZCY7r4wo4PIZRKP31lycv86DpR44+EtyC67AapuBzT6btpZn6e54lc62v5NfdM2EXtb09FdxeqsVqZgTIeDxs/6Cf6jG/b+8Eecdg8TlRa8VjCTRcjxFyQ+QHH8qINwx/50idc1/3B1zm8GcwJzT/8xIz04ScxbQvOEv4W21q/8PgI1v/A9zTv8zRou69nVv8Lr62fHPXxIM+vE61TWiSDqCwYCi9u+/EcOYf+J8B2BfQI0Dk//uX46GhobGAY6kk0g9OR2dSYchyUjykZNrEpVwSHLU8bFmLO4mV/jpfuPdtV/7eiMJBoPU/WZnOA00cdHXv0mUJImUE9LRx02geCgW+ijRSJ9oeh4WdCHy7rGQeJyF8pWZlDwWcZcV5am5qaI/3Dj+m2DmhT/b86QQfQ/Jd38zL/wZxadcyJTcpzDbokS8rnwYjv0QTn8T6zTxGt39UYp7IrDPG/NAoTcV2rPk9ZWibYLZIqKhJnMmBcVy6GG07cGeMBlySIw7WjFWtfQlqpa+xOBmdd8+AL/Lx+Yr3w6v6+NlQegf9tG5omZC55YkiVTrOeikkLiV7Ix41tMx9OSE9v82aX+2ReF6O9rTMRKjJZGk3IWK2s6xDLSt3+fXtunNH+NxdEUXdADBAOtePo/AfjBMCQYD1K19gKHOrd/4uSZLyvch+3Z53b1v/jnW+C9AE3UaGhoa/2GU/t90sn6QS+4VBRgSoidkGEMOmKOpdkMbBsPbut/sjLrPZBlY3U/fBz0MrOpDb9OH6/2+LbJ/HiVlNauN3vfVQiZhcTxlT6dhKTaSfEo8BXeFBGlrTljYJR2dgvVoF8GMJlXfvX1JXFoW866Se9VJegN5R54xof1Sps3DRC7phv9RbjzvBTB5Yc5msA/TkCRaKDgHWqnnIjw0RzmiYPqTs5UDgQihPWSHD47DYJAjYpKkx2QWwq+x9p49XvdY1l/4D6qWvhRer7lzZdR5Q1s68Q3I4tzv8GLJjx6Z23rdu9T8biXDO7ppenb8BmwjnnUANA/cNskr3/+0/EkZpdv6vQ2K/pBjKV18E0UH/VQ13vjVo4p2B3uLo6+OqE9EQkg6WYC7Br554yavs5e+ptXs/OR2fJ7hb/x8k0EyQs6voTzUktO969u9Ho1/HzRRp6GhofEfRtKhyeReVkDWhbkx51jn2Ek9PYOSO6eit+sZ/Lxfsd03MHlTi7FENgoPBoLjRgb2BzmX5oBO3Fim/lBH8ZNmDGPSmozpJpDAnKOMZOqsoWsP6Ek6IouUk9MpurmUxKOteAdH8Lv3/v0aD51Bvumd99O7yZx/JBU/vTvm/KnnXqFYTys/iJQZC5i29CrSZh0CGWOEe5wTTF5a+n9HL8+xmXyCRG+lYZ1hU/TUUzBig3fVTpc6nTBQCQYn9z4FPP6o9Z41v1MKO2+fk8bHvlLNS5idGV72DbnDx3S1DDG4sYPqX/+Lzrd24hv2xLyGtI1/hOvvh+3TcXp3xJy3L+l8pZ36O3ex+ex1BP17LqpyN7tofkTOr804T44cO2tHou0CQFLuQlILj4i6beMb/7NXUbOujasYbhEpz9Uf3z7uXLNNjvZ6HOIhi2uwhbZtL38jjd+76+Qeh501B2a7ZFMRIGmiTmPiaKJOQ0ND478QnVFH0c2lmPMs6O0GXPXKNK2NJ3+11zdTkS0JAo7oAmF/M/XvGSSfEUfhb7JFOmeE62TiYcnkXVVI2pmZqshb0vGyq2PqMVkU31qG3mbAnCbSERtefE8xf3DnbrpWbaTnywk0EJsgxadcREbF4Ug6ERnTG81UXnc/2YecSMGx55I8tSI8156vdOLUm+MoPun72HKLKTx+KejF5zGPUC9DCUjqVfSy20IJg3wQ83oKfl4Sc9vwNmWKXXHZr8VpdOZo02Pi7ogeRRkVZE1/2cDQ1k62XveeIko3imTQkXp0Eegk3O3iWO5OtcgZ3TaW4Z09tD0din49fhk7u86f1PV/HYL+IE331dP7Theedjetf45dIzdK3a076fhba3g9/+qi8LKnI7ZgHSWlQBjyJGTK7rR+r4O+3Z+xZcVVYaE1UYLBAE2fvE7n+k/xe50EfMp/X3LKl1K5ZDllh98CQOniG5h7xlMAuIeFUVFP4ye0bl2O1yU3fu9pXEnt6t/v9b9NbdvlZvSjv6cDDZ0ZTAWaqNOYOJqo09DQ0PgvJ7KebNpjssNhx3Ot+PrlyErvB934hyf25D7oD+KscWApFmJobGP0bwv7IWZKHk4N95IbNXFJOSmNsnunk3JcGoU3qcWK3q4j7XyRvtl632D4ptKcIkRd/8YaHM2d9G3axa4nX6fmT6+w+5WPaHjhPQK+fVMjlDKtgvyjz1KN5yw6kfQ5iyk59SISiqZTcMw5ezxWAY+RwAnoiGMGIZfIpH6FqPPQSA0nMMxnUY+RfkYmM58TIiD1LGXtZvX1wgXTPdBD3VvPEBdXRmrG6Xjc0evhYjFWbFmnyjWlwzu66VxRw87bP8HvkL+nqUcVydd4QilFVywk46QynI0DDKxriyrgelcrU/7cHcMMbmyn+lcfKcZ9gX2TmjweI1uV7pPtz7XGmCnjjfidFv1KtASZ+67ofRh2dR2H/Hk/xGzLJmfWd6k469nweMOXf8Q90sHmt38yoWsPX8/wIEG/D9dAN63b5NTZzKkizTe16CgAErMqqFyyHIs9B4PJBkDzpucY7NiEKyTuRkUeQMMXD9Pf8gUeh7qlyNelc1eU7t8HCOYyTdRpTBzN/VJDQ0Pjv5zUU9LpWSFukmyz7eHxlj/tZrBqgKl/mImz3kH9b2pIPjaVkjunxjyWb8BLx4ttmLNFRMZV74ydqncAkHZWJt2vdpBx7p6NTgrvSab7byM4t3sZWu3GlKUHj1yztf3+v0Xdz9MziCVz4q6de8OUsy6b0Lx0LiMdMdeMEAEk9cPOaeA2gVmO7lRzOFncQiY3YED5OuJK48Ofb2BwJ32fdIFPB4OJBINBtjz1OwAkvR5jWTo+bw9+vwO9Xu206mobgkAQS678nvatVdb2ld64mE2XvTnuayv6yUKKfjKmmXuWEAy77vmMhHlZqn0639pJ/kVylGrbzz4g4BwjxuMcSNLEW2p8XaovV5t3OKpHCLj92Obs2b0z5WSRU2xIMKBPMOBq2bOoM5hszDpZbv6dWnQMPdtXg8Ul0pFt0X8friEhOC120YLC2dOOTm/AMyTSuZ2dLTg3bILQx5039yLy5l5ER9XHAGRWHhX1uDUrf4veKB6iNHzxCKlFR5KYLTeF94x0YrZm7PF1ReJzD7LzkzvImXUeks5AxpRT6Kh+A5+rH7/Phd7wzX+2k8VcBn0vf9tXofHvghap09DQ0Pgvp+hXZZjzLcRPFzdRhhS5fmvoywEABteIm7RobnqRbDz5K9qfaaHxHlFLc6BE6GJReFMJlasXYZ1pm9R+vq4AW4/qYMcJvZRecrpy40ACdMk961zd/RzI6BGvPQ4hamyv36ea085dbGR859WSO6cy74NDwuu+3ogo7451dKwQ9WiO4e1R9996zbtsvU6Zxtr7qUg9jCtOwpxjx5hkYe7TsU1iUo4oVKy7+7vxOUfCog5gcL2I/FQuX0Ll8iXh8aHtcvQnUtClHlVE7gVzwBlPcFhHILhnkfR1GFo/SMujcl3c7NdlEbP9kk1UX74V32D0msSAU05vjqxdNeea6X61A8fOEZwNjpjnHvFsYMQjG8bYbQugJy1sDDQaRQMhjtwjImK59d1r2frutfS3fElP/Uq2PXsvW56+S+mi2psKPj3ZM8/FOzyIo7OZ5pVv0LzyDbo2rY55TX6vSJP1OLpo2/YyO/55S3jbQPsG2ne8RjA48bTujW9cinNgN7Wr7iUY8Cnq+NzDk4sg7y/MZeDvAd+B/U+IxgGCJuo0NDQ0NCh/sSLsajjn9UrFtr5Pemh+OFqTsz2Tc9n4Dbv/3bBMFQkuw1Vyyqqub0y7gPdPhI+PhpF46E/EUTdAwBPE0773boIBVxBv575vFD8fP3kF1wHgHRliPn5KeVU1L8j459aZ5fqkrhVNmBIiInuBAHiM7NxyNcFgkOGhzQQCXrzePnw+uc4tGBCprX6XLKxm3HMc5ctEU3WD1cT8F89l/ovnKs5tnZJC/qWz8bnEsYLBIFuevottf7tPIeqA0f7bAORdOAeAnb/5GE+3g6FtytQ+SSdhGd2/J5X6HrVb5N4S9AXYeeVWRaqlKd3MjGfnKObtvEovM7UpAAAgAElEQVSu0QwGgzh2jeBudeEf9JF7RQHzPztEMd+QJB7QbP/BJrZ9fyMBt1oEBYNBdnSezo7O08JjDe8+H9qog75kRnprwinHG9+4lC0rfqqoa6tdeT8Nr70WXm9dO8Z8pD2b1Lzj2PT4bWz/2/3h4d3/fBlnjyyoph97V/Q3aAwd1W/Qsvl5Wja/EHW7x9GDc7AZT6z2CYDZmsH044Qb63DXgdfaAMAcCqI7IwxaR76EQGx9rvFfjCbqNDQ0NDSQJCn8hF/SK10q626We4t5OtwEXLFv7C0lcYr10dq1/xRmrMhEFyfR9RdZhLjqfEy97HxwmcEbUdWw4lT44ATafpJOwzW9bF7YRsC9dwYP9T/tYVNlGwHXvnUElNCRkD8FU0IK5sQUJHRYmK6a18APFOvBYADvyKBizHqEEGNtj3biGRxzU72uEhoL6er4B9VbfsyW9UvZ9NWpbP3z78NTWp7fDIAnZGhSeMUCxfcTxPdK0klU/OVMpt0h+tklzstm27P/y8ZHbxXn//x9ALxD/ZjTxqR7Rrx9pnS51cXmn7yNo0EZFrFNT5NFYU8qDu++FwC7blK6apb9n3jv48usxE2Vr89ZI+7mA94A7c+1sv2iTWw5V/SUMxdY9vh7q7tV3SewdfD/wssef5u6lYFPpCU2bXg6nG4J0Fj1mFgIAu3K9EzvsLIuEGDLU7+Nek2ewZ7wcqw0z1g4+utVY4GAj81vX8G2965n81uX43UPKq5bPlcWllC0rmnDX/C6BiZ17v2BpUz83XmU+Dv0Kew4CNZH6c6ioaGJOg0NDQ0NFXPeWkDp/05TjfuH/Kw/5ouo+wSDQdwtagfC/yR0ZomAUymohj93s/N4D7z5HXhNbWQC0PeWSFv1NO+daUr/eyL1b8PMlr06TiysWQXh1DkL05nGp4rtA7ylWK9f8Vc2/fk2ujbKaXRTfq2MFqnoSqepXqR4ej0iSuOriaij+0KkXLpChiZxhbGb1uvjjdimp1H+4MlknT0jLDCDwSBta+RUTsmgY9Yjp4TXI+vqzJnKO+SRHeL1T7/7WMqXnUjKkYXynO5s4ozq38Xe4KxzMPi5LCgMyUYSD5WNZwIOWWTZ5oqa1y3nrKN1TE86S566JsxaroxQDnzWp5oz4PpXeHlz20FseuI2xfa4ZPFede16l63vXhse76kPmcgM2YlJZnvsbSHcA7LwN5iszDrlYWYcdw9TjvgV8UnFqvnxybKRkdGsrjH0jCjNbDa9cSnD3dWqeWZrBnqjLPZrPp1YlHB/MhqpG8VRJS/71bpZ478czShFQ0NDQ0OFMcVI0uEpSGYdwVDKVvx0K44dInriH/Yp2gEAeLu9BN0BMpZm0bm8PdzY/D+dUcE2ERoeX8WIZ314vfL+62h7aJDWeweZX5+LZJhYZHOS7d4mjiThHuihv24rSSXl2DiM6XyJiVw2kYMNYX2/48UHGWlrCO/Ws+0L0ucuBoTQkuxegkNGEcXZORU2zYVzXhZ9AgN6WHsIHLxWpEEGgRY5hdXjbaJq2fXklv4YgLaNbzLwunDoLD7lQlKmzWP37+vo+kcHJXdPJfnIVCxZNjY/KUeCBuqU0TS/24k53crM+0/E2+/CWiqLpvjiZEquO4S6ZWsB2ZzFWiqnjkpmA8aUOOgrx+VTp6U2r3yDjqqPmX/tfTH7MXp7vWw6TfTSm//pIeGIuGOH7MY54+nZWAqV0e7I9hrukOmJt1v9BTDlqEVd9sV5OHc56P9YCCf7wkTVHIuhBKd3S3jdNyJ+49acYgzmOIZb68GdBwQhL8rDhEH5mJlHLaDj41C/QIMXjD7mXHY7m/78G8UuksHI9POuZvtf71PW3yHEFiETlPgjS/A6ewkG/Ax1bcVsy6J9x+vy+xFRC1f10lIAig+5lrEMdYrob/mJy0DSoTfGqeY4o0T9vm108Yg7dR9Ujfla1V8IZa9F20vJ6H5z+8AQ+/mIxn8AWqROQ0NDQyMmFe8sCC9P+5Pc7mDzOetUc0et0xMXJTP14ZmU3T/jm7/Ab4HZa9XuiRNFYVf/0hKq8ptpvVdEl9oeiv3ovSq/map8pRNk0LvvmzLr9EKo177+JFXLrqdq2fUY+osxko2+eRYDy6bQ/MWrCkEHMNK+m+aVb4b3MRWENnxypBB0gHG1sgYOb8iQZ/NseSxhQBh0dKfS8tdNAAw0bAhv7twg2it0/UPczNfdvJPGu2sBFKmetW88pTiVu1+k+MXlJZAwKwN9nFGxPengMXWRIepWPEfd28Li39vrxLs2B/fvzqX5+Y2KeaNujuseuIEtf4neFL7+9prw8rrD1xJw+xlY1UfDb8X1l94zjfhpNnQWZd+0aY/NIv2cTLIuysXb7aVq8Zqox9fHqfutSXqJkjunkvHdbOzzE8KiMBK3rwGrSf6d620mAKacfRnmpFT87tGHFmqxmlksf6azLruF3IolkNoN1mFIF7WJRqscydNbxIOe5LLZxKfnEpeWzUD9NqqWXc+GP/5SdXyDyUZcYgHxycVkTj2NpJwFmG2ioXxcYiEjvTVUvbSUtu2y0K5f+4DqOL27xffGbM/BYs/GaJHVzcwT5Ro/n3tQte+3jUWdBQ3AwOsQq13fyOdCzEUKQbc68zYmo/sOR+9monGAook6DQ0NDY2Y6Cx6Zv5tLmX3z0Bn0pF7pbhb9w/5aX5EmKf0vNvFrpt2sPNKER0x51mwz0/EmGyMedx/Z0y5BmavzaLkMaW9f+pStU1/9k1j0sOGY7tstt0/uRvKzqejN8zeG6L1uOuv28Ku157A/9LxAHSs+lQ1B6CjSk7jc3tCUY8u2Xbe2zZmh90h5ffRMeJvakTEpi56Y/NgwI/fqaz56n6zUwidl5ZAnTJdb8rZlwPg6u8m4POy9Zl7qFp2PY7OZqpfeoTurV9Qtex6Wj57k+LrZGGTuDCbzU/cSV/1evp2bmD788siXmgmHa/txNU+zLab3sfb7xJupztEWqa7r0tEMtt3s/35Zfg9LoL+YNhJdpT1R3+hqKVLOiJ62wt9vJ6CG0qIK1N/vwp+FrsB/CiSXiL/miIsJfF4Wt1ULV6Du02Iu+6RF3F4NxFvnEGm/ScQBL/DSWblUeiNZsxJacqDDSQQr1sAg0KoedrlKLXZmobb1ww5rZDcT2JehYiMIT6HmRfexNzL76DwhPPC37NgIBCO1Pndzgm5WRbM+yGFCy4npfDw8FjrFqVhis4QR+mhP1O/F1GiqHEJsqAf6avb4/n3N1P/qVzPjHhZ/hg+MJ0PqcfcXyMQ2frrye+j8e2hiToNDQ0NjXGJK44n8RDxZDv9bDlK1fG3Vnr/2U3DHbsYWCXX6pgyzfv9Gvc3plwDyafEM2OFLFqK7kuh+MEUpr+ZQcHdSSQcbSH7Kjuz1qbDnI2Q1CdEXRD4YqHqmNZKk2ps96/76X1NaXVX+H8idbD5zvGNHQLuIHVX9ODcOfFcTZ3RhNGmzNHyuRwM1G+LsUcM7NEF6szzZVt6utMxGJIwlYRutMt2YUgMvQf+UGrvmJosCWj47TjdmKsWQJXcCsCaI1oc1K94lvUP/RxXr6i3anjvBYaba2l8/0VARNr6elZCjkgvTD0zBc+Q/J12dDSRdUEBkWy9+h2cjQP0rt4Nu6ZAXwr4xW3VSFsDO154AEdHEy2fvU3vh8oUw6+DeUzN3Nx3FpB2RgbWOXaK75ii2Fb75tNULbteIZL8Q3I9Z8fzwjikse8mAIz6HFI8F8PLSyCgx5Qo2leoRN1QAo7d7TCYyNQjbsdoF9+VuZffAUDb0IMwpQbyd5NVeRKWBNHSJKFwKnFp2UiSRFr5QejNIv3R1atsJdD8yRt7fB/0xnjSio8Jm5xEw2zLIilnAcUHXxMeS85fHHN+2WG/AMDrVNccftsYMyA51Hkj7XLIvQcybxTrHffH3m8sE21i7pc9oGJGCcfSfCP0v77neRrfLJqo09DQ0NCYMPo4PelnZ4bX62+tUc2ZaF3YfwLxs00U/SE5HLVLOSsea4WJ9AtsTHk2DUmSMOeaMR/eBSYPtGcT138sNBaJA5TVwOxNWA/z4WoaYbhBdukLOAN0PT1M/VXicXzpE6lUNuWRcpaI2MRNjx0JDTiDbD+5g763nGw7toOq/GbcTRMzaUmdMV+x3h2rl9jUaqhYDxf/JTyUMCvUl9DiAl0Ul9SheOZfKztdJnZfjKdWgvgROGQtvhP/qpyfKW76Z11yC2mzD8HVMUT/v2Lb1ANQVwp1xRQcuwS9McoDhtZsnI8eBh7l+9dfsxEKd8OiNdS99QT0JsOW8vD29prlUU/XuSLiN/DFwRBQfv+7Nq6i4XZxR516anrUY4xGwMfDnCuLupQT0jAkGpEkiel/mkXKcbL4Gm6pp3+XqCFrW/MefTtF+mr+tUXhOT1vj2nbENCz/a/y5+KLF1F4yTpqfKTO8+vZtAnPQA+W1CwMcSIC3et4GfQByGuhtu9/9viappxzhWK9c/3KPe4zijmKqNPpxedtMIk0z5SCQ0nMWRBaPizmsRIy54Kkxz28Z2OXb4OS5VAZhMJHQZIg9SIx3n6XSMHsfQG6n5bn+yK0aWUQjDkwshYaLwP/HgL8nohgpbthz9cW9ELHfVB75oRfjsY3hCbqNDQ0NDQmRcGNsVO+DvRm498EqWdbST5FnRoXyYxrvw+dQgw7P4xIs8ttgenVOIcb8XfpqX5AFg59K5QGLOYiEb3SmSWSz4jD74idqtb/rhNXjVLEbVk8sRvWjPlHivOYxA2yzxl6dC9JmEsibhtOXQFHfwwpfXDUv+D49xk8/ka46kEoqYNU2ap+2mOiHnPbhRuRpNAx/Dp6XgiJBodVmKjYx9xxmt0klc3GnJSGOSkN/1o5ImXMEFG9wl9E+T5WLSB9zqLoL3BV6Oa+Zgo05Ym0zX8eA7vGWA3+62jYPhNWLRbtKlYdCoPq9FlP55imYbvHCLQIPZR/fTHZlyh/I8W3TyHr/D3/bgx2A4YkQ+g4RartAZ+XllUrqF4u5961ff5BuCbQkGgk6xIRWQ64ArQ9I9domnoXKI7VFrhdvBTvDVBUD8d9qDpfz5bPcfV3q6N5IWzmBVHHI7Hnl5E+ZzHFJ58fHvMMjh8tCwaDtH3xIfjVkW1JJ+oKh3Y2UbfiOQDyK35Acv6hJGTOUc1X7Bf0077jVfobttCzTZi9+D0uqpZdT/PKPUcQ9yeWiHLlwXeh/vvQ+EN5zC3KNCkJ/XOiT4CBt6D7cegd89xkLK5QRM9cqozudT8Bu38K2+ZCZJZs/YXyct/LQuDFqvXT+GbRRJ2GhoaGxqQp+e1Uxbpk1pF0RDI5P/7Paja+r9BbTEx5IcrNb4qIOgUMvaLR88ojaLihl56vttFwrfLm1lwgu41aigx4dvtpe2iQ2st76P9QKQD9w3uuTYqFMd5O5XX3M+9KpeHH/KvvZfqpv0ZfMATf/xtgwEAoWjJvA8wKOU4a/PCTP4mU0/D1ym6DzjoHxSdfIOrmXKHxktrwdunMFWIhziGOFTLoMCelgdkdPl7pXVOxL0wk5cR04i+qRkpWvgfBKHeWlviImju3GdaGhF9vKqyfT/qUE6A/ERoKhUsnQGuuaFfRng2DSeC0qANXQzZozxR9CttysOUJgZhQPAMG5bpKfZyexLOC6I9dR9a1dipXLyLl+OiiKBrmXAt6ux5DgjpK27PtK9q/UIsvgLa17+MZHqB9+JHwWOtjTfD4peQn/Zaga0x0Pd5BVXM+QckJC7+C5H5KTvuB6rjugR7Micm0DT5MVbP47Wfbr8FqWkC/cwVef4dqn0gkSaLg2HNJnjovPFbz6mPj7uPu76J11Qoa3nuRlMIjSC89AYBpx/yWKUfcKiKlw3b6qtcT8PkwWzMoOeQadHq1CIxG7atP0fDe83SsW8mGR0S6cEfVxwR80dOYAz43O/75S1o2P493PxmtSAZIOFks75I7dRD0g68b3NWi9m40bdMV0QZxtHG5fxg6H1YKNICu0DOBhBNFHV7QJ+Y0/gi6HgHnJhEZHKXv7/Jy3RKRiulTBoI19hOaqNPQ0NDQmDRJRytNHaY+NJPSe6bHtHPXgITDLEgR2YA5TzZjn5EjVmyhCFVXBj3LHTQ8qnY41MXJ7+1o1K713kH633ZSe0kPrl1eRtZ7AGKmWk62aXn63EPDy5JOj8GQQMU5j1OZ2UElXgp4OPbOhY1g8FLw82IMdlmQbrtgI7QWQLecijj1yu+SniWcFIPF1VQuX8KcP56N3mIla6FoLm5OTAOXBUO6RPnzFVhn2pn6h5nozDp8xmYSf9KCKVO+ce99T9SxZU9fir76ENFuYM2R8vXVlqkuuf/PafDBCfDlQbFfV08a9CUrhd1AEviM0CGisdOWXEnldfcz5cwfgUNEcXWlop5vx3N/wJ9SS/uik2OfIwaJh6eQfFRq1G1+j9rZcpTWNe+y+XERfePYCOH3wQnoHWn0bBO9J7MOOg4pcyBsdOnxN4WnWksyKDvrMozWBNJmCzEc9HnxxjXQOvi/4XmBoBudJD6H2p7LJ/S6JJ2OmRf9HABXbyeDu2NbNY5G8nyOIYoP+ikF8y+lcslybKlTsaaUkp6+NDy3d0cVu157AmfP+OISIDlP2V+x+RNlv4C2te9H3W/r+zcw0ltD+47XaPhinN/DPqboL+qxdQbYEQpE++RAOTl3yMueUHvDvuXQdBU4vlQeYyjkdxRfCfhE5G3snIYLoO13sVM53bXRxzW+WTRRp6GhoaExaSRJwlIYR8oJaVSuXoRt1jgNiDXCzHxP3PTHzzaSfcIhTL3iXEp+cJos6kZZLyIXUpyfhKPMWBcoowymPHWb2a1Hd7DjO0I4uBv8WMoMVDblUdmUR9GDQoRPtK5ulNzDTh13u5WDY2/sT4asDoYbRX1W+fKK8Kb6X9Uoatrs+cWkpJ0QXg8GAxitdiquuBNrljA7MSWmQFMBwbhBRRTO0dmCZ7CXuOQ0Zr9aSfFtQqw13LELZ72DtjuD+Dfls+k7VTh3RrhARCFa/7eoOKwgBWDuhjE1dBKSSU8wIK6v6x/t8JlwaQyUr1G2O3CJGjnv8CDO7omlxmZflEvhzaVRt3mHZeOcmRfeGPsgKcoIsL5rJkNNIs8u99BTMB/ToNwuiUij29dIYtF0Si4+hbh02SBIsrsV81Piz2BUFTq9O5gocalyrW7NK39ipKMp6jxXyC0zVppm0C9/xxs/+DsD9dvY9uz/Rp0bScmi66OVDoYJeD2qMY+zV9HsfLB9g2rON4UxI/q4O9RnPf1H8lj2raK2Lm6unFI5+tcVkWIZKdLMoWceLb+AHUq9C0Drr6A11H6w+Pkx1zBBUxaNfYsm6jQ0NDQ0vhblL1RQfNuUPU/UCGMpNVLZlMeMFfINrDktSRiLRBJqBRA8/EMKlhmZ/qryDs5SphZ1owS9QdwNvnA0D8BSFKo1+tSFe/fEhZ3eJIRH8rR5UbebyKOSIJUEmY+cx1XMC3CEML3whppZW/LilM2v/eKaLPlCNNjss4iLF9+nlt1/Up1r+HORN+bfbWewfnt4fPvf7gNEQ2uA+Oly3du28+UUUF9PdMFW+IsSKldHr7+rXL0I6ywbkjkI576k3NhcAPFOKGpQDAc9frz9LjxdHnb/PsJH3uTB3ReRlzZsw+HZxqbHb2Pbc/dGPf9kiGzibUpMpfK6+2OLu9PlGrH+dx3glh8apNsuVExNsBwhju9rwOHZSnXXOQwYVoS3Sza5prAyr4l40yxS40Xen04av9Z0PHY8vwxPhFANeD24+rsUr3OwsVq1X8DnC38XJkucv1I9mNkOOj8+j4P+xs301VcR8Ici4sPqCKDf61CNfVOkXSr+zm5Wb7NGed5iLpNF3FhxB8paPHOUZwezd0PSWfJ61x/l46ZdFhqUNFH3baGJOg0NDQ0NjW8Rc2oSSJD402h3ZiO4e9WtC4xpeiq25yBZ1OmuIxs8QtQVyqJuVOA1/WaALYe2hyNJE2He1fcqjCxiISExDzfzcJDAiXDQl5DazZD5LbwDLjy9Tsy5EfmnPgNFVy5k5r3Hh4eSUkR6ZEer2s3BUR2KsuU24x7sUW23ZRcBYCmII/3c8RvET38q1PBcL5F6evSQR+Et4q522qOzqHj/YOZdfS+2a5RNxyV7AFaLFNWERaFWEAEJd/swjqZWlJPHnGDYRn+jHNmJFgmaDMOtdSSVzmLeVfeGXT/j0nLCaY0KLG74jvCg73llEN44g5JTLsFZ5yDdejHzcneSZr1AHMM4AzDQ53iL7Z0nAeC2bA4fymsWETW9Tm6FkWo9h5T4c4AoDqjjkDpT2eojnDIK1L3zV7Y+fTeuHjmq6R5Qfw/cA93YsgtV456hfrzDypo3n3OEQERkz++K8hkYfGDw0Ve7ntp/PE3da39j+7s3i3NFccuMJvS+KQoeg3luMOVCxQTK+cxlwt3S0wJDoXaTowLM2yYvm8vAmK3e35SP4nscdMnzCx4NXUuhln75baGJOg0NDQ0NjW8RvdnInNt/TOmNB5Fw02aYXyVvNPhxtkbvcaa36Zi7IZuKbTkUPZAcHq8+u4uAM6iI1OmTlP+797TEvtkOuJWCT6c3yI6Ve0CHCR1xGAhdT8FuaChi04/eZPPlbzG0WU5Vw2fAkpuApJePnZ13SXg5GPQTCLgJ+MWdY9tTIdF78Od4hgYIBgL43cIcJWX6fOz5co2cvWJM0/cQZfdNZ97HB2PJFwYtKcelhutApz0qty+Y/dp80k4TYk/SS+iMenQGA2Vn/oDyV2ajt4soY/CF08P72BaGTF+60+htXE3t1lsB0a5g1muz1BfTmkPbW1+FV6MJlInSW70ev9uFd2QQnUEZxY1LzaT84l9QfsnNzPnxHegsoSiWWSlg6i4ZZtsFG+lf2YtOisNmEgIr3jgL8DHo/jjioCLlMi49B0+gAbv5cGZnrVWe1zgNX6AHf0CpNgKe2CY+hcctpeT0HyjnhwxKBmq3ACI6Zy8QRk3RUjDdYxw5LalC4G9+4g42PX4bfbs2ieN6PWz8063UrxAPEILBICZbsmjFkdVG+hFzmfr9yyk97GfgMRF0y9ft2hmktepNHP0iEjv3jKeYdsxvAXAONIbTg4PBIIHA5FKeJ4OkA10oyKq3Q/4fxHJpjJ5xljLRgmBzHvhCetS9C3qXw6Yc6PmLGDOXimNHUhFKzbQdjgpDsnwt5jJxzGAQAm713D0R8EAgdnmoxjhook5DQ0NDQ+NbxmiPR9LrsM9Kg9I6WPgFU18XwqT5jZW4uqLXD+mtOvR2HannWCl7TumiGCnqxhrYxGpv0PeOk/VlLbhqJ96wfFwGE4RrZAh3d7+8zWfAnGlVTJckCXuisMJft/Zw1n9+NOu/OAavJ+L16wN0fPUR219YxoY//hKAxBKlaEo+JpXSu6eF1yveX8isV+aTuCgZnUmH3qqn/MUKCn8h55jZ5iZQ8tupTH9yNqaMKP3tAL3ZgiXbRtKoWYlTTi80FIbEi8fMSNtuaM8CnZ/M72ZjzrDDSe/AGa/BSe+I+sBWZRuDyLTCyVIfsu8fbRo+FktKBpakdIzxNjLPzZM3GNWRqbqbhUlJSvxZzMh4n8S4Y9QH1PlIOceO87CHcfkaiDfOQq9TfpZmQxEgavFG8XR5WH/U53S/GT2aJen1JJfNofCE88Jj6x/6udrJNLTe/uU/GWqWG6v53U58zhGFqEudrkypHGraRcDnY/3DouF4f0jktX/xIcPNdWD0gsFP/vyLsGdOJSlngYjWjaFt5b/o2vUuAAaTjbhE0cqi4cs/0l33gTjmjtdY/8r38fv2j0pJvwpmboKk70TfblZ7A+HeBfXfFcsDb4EhXbRAAJjdArNqYVY96EMfb8Y14hyxMJeKFM+O+2C9BfzqRIOYBJyw3gzr46D7LxPfT0OgiToNDQ0NDY0DhMyjFpB+6Fym3b8I+3w52uRo7hxnL0HiURb0yfL/1i1FyohNxfYcheFKVX4zzh2yePMNBKi7TESLth619ylkEkb1zbBtGBIGhMmI20LLH9Upp1bbTNXYpo++B6BIq3R2toSXLVF6pSUdmcKUB2dSdv909DYD5mylULMUxKEzK2+Dko9JxTpD3YtuLIU3FSsH7r0RQ4V8Pc5XSuDdk0AKsq69EH9gRPTgM3nBPowlWZ3y6R7ooWrZ9VQtu57qlx6h5h/jW/tHo+iE7+1xjtfQjP7Mz4QAPO0tKGiMOs+xfZjtR/XjrHNg0it773l8TfTqngq1nPBh1Geq9jfriwBw+RoAcLe42HyGiEI33l2nmh9JWvlBWEPptADrHrhBsV1nlL/HO196mKpl1wPQ8L7w1zcnpjH70lvJP+osUmcpnUy7NnzG+od+phirWnY9ravfASA+pYSpR/5G+SAkfc8e/XqD3Bx+97onAOiseRuADa9ehG8/tDuQJIibHXv7WFGX/WvRAiHaHJ97kM2rluIwrcVcpD7H7GbI+iXM2KDe398DLTeJ9YYxPei3HwS150S/PnfE16LxEvAemL3gD1g0UaehoaGhoXGAIOkkCs45BluRiG4Vfe9EAOqfW0HAs+fo2Zyv5KiYKU+v2Ka36Zj2UrpibNvxHTi2iWiNa5fy+P3vKfu+TZZyqkn65TbloAQkDomefED3651ULV5D1WK5hUN23pi7QIBuIdqSDk0m78gzVJvNSdEjVAkLEkk8JDnqtr1BMoy5fSraTV3PZbBotVjvSxFRvIAOgjDkXh2eqpcSFZGkwjNECmdkg+vh5loGG6vZ9MQdDDTIpjDRGK0Js+WWqFIvo+H2NWCx5hKXli1E2cFfyK8rJHID7gA7LhXpjgOr+5iW8TJT0p6nLPVZshNuIIjyu2LQqd9js0HUtfW+OkLV4jVsWbJesT3yM4/G1CU/ibmt5JQLFcIOYLi1IRx1M1rtmOzJZMw7HGO8nS7wmewAACAASURBVJzFE28fEZ+ajz2jXDFWfur90Sc350FzHlXLrme4tR69UY5WBvwehZDb+MalE76Gbwpjjrxc8CjEVajnSNndVL20lNatonN53Zr7owpSUy7k/hbi5yrHLWOEY/8rUCWJ//yDoj1C/z/EevPPYetM6HkWNpfCtjFZyo51X+dV/veiiToNDQ0NDY0DlJQFM8LLrs7oKZiR6ExydEEyqE1UJINE+sXKNLm2ZeKGzdOkrLNruKF3Utc6FjPFFFuegQxl1M+SY2f2a/NV873dQlzqdJHOhXrRMuCPVwIwZHqfhMLpqn315jjV2DfN7NdFWt+UByMiiz8d06csqIMRK7U9PwQg3foDpme8ickWcgEtq8GQHbu+0TvUT/Mnb8TcDuAZFJ9T2qxx2kuMHs/fxZB7NTrJTPGJ3ycuPZfZl97KzOfmUnr3NAquKwKg9fHd4X0CngAmfTYJlsNJjDsai0FpQqKT4kmJV+f76XXx6P91BgOPqE1Lwsf2xq6v0+kNzLta6Qpqyy1h5oU3ojOamHH+9Ypt1X9/MLwcGeUDyD74eKZ/71pSxqRiGuLVUdm8I9SvxWLPofwHN1N8yoVM++5VUa+3+u8PMeP434fXh7q2qeYEx3b63s9E1smlX64WYADDThFN7aqV+/I1hiKPowT8HmpW/g5HXz1jGRsN1EW8xRsSlds67gXXdmi4WBi4jMXbqh7TiI0m6jQ0NDQ0NA5QIlPAorlgRqPsuTRKHk2JuT3rSqWJiClXRHfcDSLiM2q64h8I4mmfnHvhWHSYyLjFhfmCNfDDJ2HxKkp+thhThpnU05RRw86X2gAY2TFMwgf3UVRyB+mrniGr84HwnPaRB7GkZJCz+GRKTr14r65tbzGlm6hcvYiEBRF3qkYfTIvozZbaHY4yAmQnXI3FWIzOMOpu4cfta8CUHjvl09XbEa4p87udVC27nk1PyN2kR2vxzFFSUCPZ1nEim9qEmB5yf47ebGHmBTdgsicTVxpP0pEp6G3iu9DxfFt4P0+rcLsIuPzU31ZD/MBx4W3zcncyL7caSYoeIfQ/qnZNLfhZSXi5953x0xp1eoOiLcOUsy8jLk2EmyzJGUg6vWqfopO+r6ohBbBmFVB88vmUniFHgnMPVfZhnHL25TEfEFiS00mZNg9bTjFzfnxH1Dmevn6mHPErAAbbN6q29zWNH53cH5S+CqVvimWT/FGQHTIaNSero679zWupW/sAXlc/fp+L9f+4gMGOjTRW/Vk11xxxzOTvQiBGg/LxSDpX/G380fjzNJTsOU6voaGhoaGh8a1RcO4x7H75I6XJyDgkHmUZd7sxS0fmZTb8jiDdfx2h88lhOp8Ud16GFGG60nCtiAo2395PyaPRUxsnSn7OjeR/Bzr4A80nXYsBYW5izlZe52jqX+0vqvF2gtFYTM9YQw19AEmSyD74eIIBP5JOT/aiE/fq+vYFxSkPUt97tVg57DOoDkUTLS4h6opE3ZpBJ4RXavlCHF0t9JV9hNvXgGfx87D2EDB5yKk4h8F1PQy3yKEL78gAJlsStW89I9aH+tn90StIOn24FYI5Mbao6xp+DqdXjhxNz3gt6rzEQ5MU6+YCCz0rukhYlMRQ1SC973cT9AcpuvlBgkE3Oil2hNQ3qEzRTDsjA0thHCknpNH2VBPebi+N99SR9h11PV4kcWk5VF4XI/1Rp4OA8sFD6owF4x4vqaQca3YhhjgbydMqGGlrIGfxKRit9nH3i8QYb2Pu5Xey8U+3Ksa9I4NY84QBzmgj8rlnPMVg+wbqP3+Q+s//gMmaji116oTPBcJFs23bSyTnLcI13Ebd6t8z76zn0BmiG/qMR9KZ8rLeKhqSW6ZB5nXgaQzQszh6LWdf02pcgy04B6LXYAJ0VL+JNXUqIEyK4udD398nd31TV4L9cJGeCRD0g6TW7hpR0CJ1GhoaGhoaBzDpi0XRSstbn+2T40mSRN6tSRTerX4i7+sV6WFZV4obXGPmvrubsiDystyIZliRqXeGVCOettGIkBjveXOMOcwRnwDg94l+dZJOz/xr/o/sg45jX9Lft4qhgao9T4wgJf4sKvOayE/6LdmnhNIgdaH/Pj8Yts7EZjokHEHSmywUnXAeFmsOLl+dMFA54lM45HNGkj4k8zil20XLqjfY1LqAod07w2NdG1fRuX4l3VvWgk4XNZVwlN39tyjWraa5UefpzHpsc2VxYw01cq+/tYbu14TA7vtnDw3HZZFq+a5q/+EtQ/R9JMx23M2y42P+75Io/HkpmefloI/XM2u5aGZvzDCpjjEZppz1Y1JnLhRpmj49bJhL29PNBANBRrYO0ftPEcVsfqSRpj80hPebft41lJ3xP+iNZgqP/+6kBN0ohjgrtjzh/T/vp/cAImpqihfi2jXUgk5vxmCykZgtp31Wf/Qr1r96MXVrH5hwOuZw93batr3Mrs/uoW61SPHs2f3ppK85GjM3QMnfRUuEoXOuhoQhxfa0Evn3NVbQOfpqadv+Kj73IB5HD82bnqP6X7eScxcUjAniFT0rL5fXQOLpMLcHyt6RxysGhKADMIfMa4f+tdcv8b8GTdRpaGhoaGj8mxC1OfJekHlFdCGQ+4tE9AkSnU8O4x/eN3VA5jGiLv1MEaHJ/mEeljyLQgREo/gGIZZ2br8Gj3vPbqB7omHXXVStWYzfJ+eHBQM+anfcxM5t0eum9kSG7WJysi+jcvUiKj9bhDElDmrL4MlLKU16WjXfbChiyK28OR9wvU/tyAWKsd5tG/C2qFMKwwQCUVMOPf42GvtuntRryPmx7HQ5vGUo5rzam6sJ+pWtBqov20Ldr3bS+kQTbc+E3EDvv47WqUsU83QWPcnHpeLt9IxbV7cn7HklFJ34PXR6A5bOI6FmKq2PNzG8aYgdP9pC/a01bPrOV3T8rZXOv7fhH963PeOmLbmSymt/L0xbJInW1e8Q9MnnCPjFgwq9URnRDPic9DWtprvunxM6z86PbwPA45DTVT0jnfQ2rY6xx+QJBgN4RpS/q/iUMhTdxqPQuuUFNr5xKTtX3hkey74Z0n8EqRfK8yKXLWVQ9gYYUiDxJMi4FrJvlVspAOTeLf7WHP91X9HXp695LR7n3tUUfxtook5DQ0NDQ+MAx2AX/dCGatUtAPaGvFuSFMYpBXfL6Xf+QXHDXnvZ12+KHYmJIkAXFnWOjA+Yt3o+OZfmY8614G5xEQwGCcZoTm2JF/3VHMPb2Lnt6gmfd4hP8aK8WfV5++npeguAjV+dFh7v6vhHeLlm+w10d7414fNEw9sjO4i2/KVatX20lxtAlv1KeYMELHkJznlZHvtMhDBsU9XtEGJR03UB3SOiuXa6VdxVWwzjp/7Fl4nvmiHJQP61RTHnDXzWR/uzLYxsVQu/tqeaGfg0ZOyT0YnJkK+aM7xJ7Nf+XItq22Tx9XtxrZLThH29cuqnt1terv3lTvYl7hYX7X9rwT/iC/fO2/3RK1HnphQeoRrbve7xr33u9h2vU7/2gX3WKsEbIWKmHvlrQKJ08Y2klxyrmhufUkZ62UmKMY9D3WfRmA2VQfEfQMpFkHiqahr5yyBnTJmibbH4O06G7z4n4PfQsuVF6tbcz65P79p/J95HaKJOQ0NDQ0PjAGfKj0QhTO2TrzNc36puxrwXFPw2mcqmPCqb8ki/QI7cmYv3bdm9DjMmCnCzi37eoJbTaR2tr8uz4O324mlxE3AFyL++iMrViyi8RTQHn/vuAswWuVm327U76jnGEsTLTo6gOngMw0Ob8fudOEZ20t8np7IGg3L0c6BPjnwM9q+hsfYuhoe2fP3XbJbTV7s/VNv7mcNOknpyEm5QbUen/pyN2fKtmy1XuFJkzD8y6vldPlnEmPR5VOY1UZ41fnRIbzNQuXoRc1csJOmwFKb8YUbMua2PN7HjR1vw9nrpfjt69NRmm48+yp159sXi8/QP7Z0Zz/CWITae8pVirOfdGAYsQXDsGsE/snfnHGXLkvW0PLKbHT/ags4kakQDPi/zzxWFZFnT5QK24oN+SvlJD6iO4eiPXaMG4BqKZQEpvhuu4X3TzG2oS7TOmHLErdgzZlG55O+Y4lKITy6hcsly5p/7IgDZ5UuZcexd5M1RRpODfvl3NNwTXTwXPwNlE3xOYsyEpLPBVLDnufuKpg3P0L5dPNhxDkzs35gDCU3UaWhoaGhoHOCY0+QIWvVDf6fnS7Vd+r5m1sosLNMM+LoDBH37RkSaKcXFLmoRveb6eV2M54kb4lFhMLqedloGlasXYUgwotfHT+pcAdwM8Sk4Lbg7uqne8mM2fHEs2zf9gMZa5VP4Qc/HjAxtZXDgC9VxvJ5OhgbX43TU4XI2TOoaMk6eolh3tSutAEcjdSZ9LpJkpDKvidyEXygPctqbilXJ7gDAml1A9nfmMf/a+8iP6N3n9O7A42tjLDbznlseRCNhofzdm7/qECpXL1LN2XTaVzT+rlY1nnJCGmZDES6fWrikn5WFzqrH1eD4WtcF0PthN9WXqUX3wGfq9h+SQWJo/QDbL9pE3a37NmLnanAy78q7MCWkMNLRhN/tonLJcnJnf18xz2LPoXLJciqXLA+Pbf/gpnGP7RlRC9SkXLmhunsfibqGLx4CwGzLirpdknRULllOzkxhTanTm6hcshyTVW10U/3Rr/C6JmbsNB7mMvDUC7OU/YGzvyFibfy00wMRTdRpaGhoaGgc4OgtSpe74X2chhkLQ4IO53Yvu3+59zdoIOrqnMhNqN3soo9XwiKuPVSHNbo+loqD/klq+qlIkimmyUQw6MfvG6aRH1LTvRQ2zIMmdfofQG6RaHBdU3ULg0Ofy9dpked3tL7Azq1Xsm3jBWzd8H3cromnC+acN4uKZ84k8wzh+rD16ncYWC8LLktI1Fki0jAz7eKa9KMNvS3KWkNffAvzrroH/xErqOk+j5aB34Ujt4Ggh20dx7O5/SD6nMKBwqBLYU72V9jMyh5tk6Hiw4OY++7CcN1exQcLY86NnyGn8xb+shSzoQhfoBN/YEQ1NzDiZ/DzAfwOP75BH55297gPEIKBIL4hUbMWDAap/3WNYvu8fx2kWC+7fzpz31vInLcqxXFD4mBw7d5/n3vfV4ot/7APz2AvnoEeNj76yz3ub8+QO22PVxvnHhEGNbNP/SNzTv8z8855XiG83MMdsXb9WpjiJ+d2W37SsvByZPP1TW9ettfXYi6DoAc8Uf658/WFM16/IYL7NCNif6CJOg0NDQ0NjX8Dpl/3vfByz5fbcLTsvVnIROl+Xn1D/nUwU0YQpdX9CJ9jzlWKOHNWdKt2vT4Oq72cYNCD16Ou4QFoaXyUDV+eQK//RRgKuRr6jNHn2q4IL7c2igbLkmRk5pxnKK8QKXQjw1sV++zY8uMYr06NpJPQxxmJL5SjXY46OYpk0GWg1yVhMcoRPUmSmJNdxeystaEBSDjXQcWVd2M/ewCvoQGdwYQrINLlOoYfo3NYXLvHJwvOEbdISbSbF2PUj982YE/o4/UYEuR0XL01dmpuyZ1TKf97BbNfn4/OqAsLVrcvdjpb/8peNp70JZvPXseW89bHnNf2VDMbT/wS35CPlkeVx7POsqEz6zGkyp+1pTAOg92AMWXvXDajMbRRWUvobhnf6GcsUw6/BZ1efM9HutX1lqO4htuR9CaMcakYLUnodIYxom7vI3WjD0hSCg5HkiYnDXQ6+buQVnwMyfmHyscN7F2IbbQ5unuXctxVAxtToOfJvTq8Cr/PSVxiIZlTTwfA555Yb9ADBU3UaWhoaGho/BsQl6XsQ+Zo+uZFXdws+WY44Nz7p9ZmSlVjXTzCRrtSdEmG2LcnZoswTNm87kyq1ixWbNvJMXR0PCdW3GYIjpNCNXMrmN2q4dmVr6HTW7DE5WM0qnu/+byTd8UzZ8m1igG3fKMrSRLT018lO+E6xXyjPgO9Tk43tdiz0ZvMxCUW4vI1EAwGsZrkyFvzwB3U917D1g7ZjKNjWHjKF6Wo67j2BZERuUhMWWYs+XGY0oVgGU0xdfsbVHNH6/Ua7pDv2j2tbqoWr6FqsbpRd/cbIiq18cQv6firXGtWeHMJU+4Xxyr/q9yuwZQhPxyo+EAZxZtMFKbj+VaqFq9h59Vy2rPOIL5bM54W7Se2X7KZ6d+7Rj7+HgSNpDNQcebToysx57mH2zFbMxXuphZ7Tmg34z4RdR6HMEOypceunxwPnUHUTObOOZ+UgsPC4+te+R5VLy2l4ctHv9ZxzSFRV3McBEIle87NsDXk9bMvm5MHgwHcwx0kZM3Fnik+032V2rq/0ESdhoaGhobGvwE6o4FpP10aXm9c/gHdX2yNOT8YDFJ1/TKqrl8Wc86eyLslkfgKIbg2H6au05osRrLDy7NG+9UhaqpKXgtiX5DInLfHbx4daZgCULVmMVVrFrNu7ZEMBeWmVjpXuhB2sUgYFP3hbHLEJTvvUoxGdf8+gJT0kwEwmbOjbh/3miNEXftrOwgGZEFhMZZh0CWOu39eougzZzEUEQy68AY6VJGvXsc/ou2KTpp8g+qJMOW+GUx7tFw1LumUQnrUDMbta1DNtc6M3VsPiCrsxjL9qdmknZ6J3iYiRoZE+QGBpJevRW9V9lz0D0ysvYGr2Unzw6ImcOirAaoWr2Hwi346XxI3/OYC2QTGmlVIUqlIq2xb+/4ejy3pDMQlFo4rHtzD7VjG1LnZ0mZQeujPSS08nJHeGtq2R//sJ8qWFcJ5dex5Jkr5ifcz/di7kSRd1PTNnoZ/UfXS0ih7jo8x4qfuaRB/Bz9QznFsmPRho9K+43WCAS/GuJRwJHRfmdDsLzRRp6GhoaGh8W+CrSSX8l9cHF5vXP5BzLn+ETkd7OvWhugsEgV3CpHj61TWsA2vc7P1mHb8g9Fr2wY+crL9lA6CXvncVg6miGepYBAzpSRyenhbIKOeqQ/OxJgcPVVyFJMpuqV/MOhF1zAXAuLmPVCdi+SIuMEsqofyLVC6CwobsEkhx8jyrWDwQlIf/rztynOZRdpiUdlvKC67lcyc8/F6eibcNHoUg81EyQ2ywYi3zznObJnyzH8xJe1FJEm8J6NRL6dnK75AF5kR6aPRKEi6Z1LXORkMSUZscxOY+kg5M5+by4yn5zDtsVmqeXqdHYMuLaqo01sNxE+LHvEbpWrxmnFTG0cbpEcy4y9zmPYnteAsf7GCjO8KUb7xlK/w9nlVc8YSbs0QQc218vdEH6dM+UyeJhqrt30e+7cZidmWGVPUjUaPxpqXSJJEUk4lBrN4GNC65cUJnSsakU6VJuvE22VEYopPxZoiovDxSUXkjnHGHMXnGY46HovIAOa2CqiSoHmMSWzXY5M6ZExat7wAgMEYDx1p6G98An1f8b45+H5CE3UaGhoaGhr/RlgyUsg6XjgZJs4siTnP1S2bQfiGvr7DoLlIrpmJFHAtvxvAVeNjeJ1sZe6q87Lrkm78IwF2XdyDY7MXd5McEZGQSOVC9NhD63IUqYHoN4JjkSQ9BcU3YU9Um3UE2pUOmUFPgLj4Uqz2cshqh4QhyOiCnDbKeB0bhxOvW8j/s3fe4XFUVx9+Z7u06l1Wd5ElF7kIDKaH3gkQmxZKAiH0TugJvYVeEyAECKHYoYSOTTGm2GDkKtuy1XtdadW3z/fHXe3saHdluYH5Mu/z6GHmzr0zd2dnzT1zzvkd9v4RiivokB5CRvmMEwvvIafgWpJSjhT3wpLlz+eLIJk/Bon7ZDPhNGFo1Lf9hT627cmxGCcTZ1FylEaMuirbeQBYTbOYnPIv1ZjitE/JTbiXxKgTSY05a7vnub3EzokjalI00VOtxMyMDdvHJw/RNfgaPlmEu/p8w5Q15VBjuxjp4pcC/SKVTyhfsIa6u6tUNecAUn8T3rMUXWglpiQupN2SGxUoeg9CMMXn9LL6V99TceGG8HOPUDcRYMIfhKBO+hkiHNLT7yFxSoky1rNto9FoScDR30xz+Rs0b3hNdWzzZzch+9yYY8LnRI4uaj4WPU0raVz7Ukh7/Y9/C2ybolPHfb6xyJh6ItakKSHt7Vu3v+5j/iviv/Ko9yAl/uhbQ3jHegBvL1QdD1sPhbWJMPh9+H6xqeK3mZR7ALZ/GvA2xDH0Vl74znsomlGnoaGhoaHxCyPrmP2Im5qH2x5a+HkEZ5BRF7y9vRgSdETPFJ4IZ31QyJrfAefpVHKHNh7cTu9nDtYWKflOqjGj0KEWSOnin+OaU2rGyRROe5yS0vfH0fc3FM14nizpPopZQxHfk80j6IlnKsspRr3Kc6GENZrMaaRlnBrIZxrJ53M6dkx9NOlAsUjsa1tNJUfhZvuMQ5N+gmrfqE8j3nIIZoPwkkxL/5xo0zRSY85mYvLTOzTH3YFPFi8VOvqFoEtz3wMA9Ax/wGDGf5DS+sm5Op/YveJJOCIW04ENpP9O7TWyfSTuVepvMkj/7QTSTs8k+9LtX3SbMpUXCfavu1nzqx+QnT4GyweovbNSFRoL4GwRhujUZ6eT+Tt16G/G2eL7MGeJc3a9146k05MwWeRkrXnyBnyescM8nf6SBW2b36at4l3KFi+kcvk9AAzbawFRPiAcqZOOCmzLskxX3TK6ar8M27dmxSN0VH4UUNoc7K6mcd0rRCeKF0OzTnpRlbe3sxQddg+TD7yZvL0vCRQqb9v8NnU/PI3HpQgvtW5+m7LFC5F94e9TUoR3PUZ/FHTbfWOrYNaeDb0fQv+X4LVDxb7h+7kddhKy5mF70YDtZdFmjSzyukeiGXUaGhoaGhq/QMwpCTi7eiOGVjpt9rDbO0LeQ+J1uKPOLyfvkRlYJTx0TfePrRDnrIssGJHFfSQFeejq+f12zctoSiYj51yYWqE+UKAU+tbrRXhfBjcSzWyszCMdtTBJIcuU+RJab22EkXw+h9+oc7k6aW74O/I4CmnJeOlIvgP0HmgXnpd2HtzmuGAkSa06GW0SoiATk54lxXoWFkOoEM2ewIS4PwHQ3Hc/bm8HHQNBsoU6Gfmp84k/2YMkSZiuXozr8utoP+aQsOdKPDSZ7EvyyLkiH515+5exOpOOjHPE92hfpha96f6kC1ebMOI6FrXS84UN2/sdWGfGEjMrjgl/yCX9LGHIZZ6fHRD0MaULo6756Qbq7qmi99FiWLwAthQy0Bz5eQLI2ytUTbWvfR32lrLAfkJ2eEtEb4wie/Z5AAx0baZ+1TPU//gs3Q3fRLxe7crHqPj8FiqX303H1g/orl9OdOIkDKax8xt3hPiM2aTkH0LOLCVk3Fb/FZ3VS2jf+gGD3dWB0NHB7qqw5whnZ+a/rN7v/yzyHHrDvPcJ/rkO2ippWPYujr8fhNGcTv0fwO1/Z5NwUujYPRnNqNPQ0NDQ0PgFYk5JwOtw4h100LOukqEWtdfH2WXHECvCEeteX4Ls3b48MNW18oQx0f6c8AwO/KCoRno6fAxtcNH9XvgQT2ddZE+FiWwK+BfTCF9MXZZlNh3RTvUfwpcvAEjM3geSekReHJCdfyXpGWcHjscnhBbLHk0sBzPT76FzEn5xCUo+X0PNX/H53GwoO4W25pdpqn8qpK+DSmy8GtgfZBUd+r9CWge0ibBBH+OXwe/f1ElfeQepMb8LtOkk4cGJNhWTl3g/kqSPNPxnJT1W1CyTMFNtuyBsn/I2oWRqG3pHafx9qGa9JUINw+0h66JcDBFyN6tv3IKrzUnjY3XU3OrPNwvy3qWflkns3vGknqyEREZNUsJ+bR92Ijv8/dfPoumB0Jy8YExRSeHn8a3wZubtfQl6Q+TPrPeXRdi67PZAW+33T+DzunAOdtJV+2VIDuhgdyVet+It294c0e1F0umJTZsZ2Hf0NdK07hUqPr8p0NbTGFkUJ8v/7iPjZki5CJLPEftxfkdl5ZGKOuZ4qD0TOp6Btoeg4tO/0HlTOrx7MoPvb1+Nvj2NnTLqJEn6qyRJFZIkrZck6R1JkhKCjt0kSVKVJElbJEk6Kqi9VJKkDf5jT0i70teroaGhoaHxP4I5RYgkrPvz36h5+QM2P/QqvZtFuJYsy3SXVWBOUeqj2co2hz3PeNBbxXJhaK0b37CPumvUC9XNx3ZQe6nwemRc7s+r0oE+QUfHi9sWR4iimHSuRcKiymkb3uRmuMKN/RMHnt7wC88RI8w8yYg+ykxq+slk81dK539H6fzv0BvGFuIYwUgWEmacVDHEWuy8Ty8fqvooRpOPrvZ3GKlm3dH6ZojHtIPHqeMcfIhkIDd+9dDUTlg5H2xJ2HhpXHMD2Hr7Mirv/Ip07w1EGaeTn/TEuMf+3OgkM8nRpyPjxKATC2ezoQCTPocUq+Kp9fqG8PqCnq2jP2Xml0reqDnXohIl2Rk8EURShquG2HDKalWbZFCWqsYUE4WPT1PVvtMZdao+qvOtlSnbf0WgaPr2EsnoGyF+Qvii8uvfv5Dyjy6l/sdnqfr6vjHPIel2/8uAgn2uCGyH8yR2VH0ccWzG9VAqQ9Y9kBdUHSE/KJ20M+i9iqsJej8B2Q3oIXrULepZBI2XQvP1wL/PEr9HYOiOYwN94o8b18fao9hZT91SYIYsyyXAVuAmAEmSpgGnA9OBo4FnJOVfwmeBC4Ep/r+jd3IOGhoaGhoa/3MEG2wjVD3/LoON7XStWA/AYK2S2+YdDq3JtiPU32zH1SyMmfxHQlUK4g+1UNqYTWl9Nl67MMSGNm37NbooTO6ghT/T9GAn3f8dwtWqxEn1fBjeE9jDfwAoTvqU2bO/RKfbsULTEjqMTKCdh9jMHKo5kSqOx00Hdv5LI9cioxhujXVqo2qgf51qXxibMt28hgc7dt4SB9b766hd/Dd8DNBbWcWmPy1loKKL4QZ1KKt3yM1ARRc93ys5fJV3LGda+if4vi0J6T8Wsk+m+bUN9KzcsXzAncXhEWGIvY7PiDJOY0bGcmZmfkdeomJwrG+dGzKuvu86yVrxAgAAIABJREFUTNl6jMetw/PIOfQ6xoi12w7i91N+P7F7x2NMiWwsjoRcjkXOVfmRD8qw+Zx1EQ8XH/FX5VqFx6uORSeMcV6E0Eo4vG7l99LXLq4dmxaqTgqQWfTrMa+xKzBa4ildsCisgMoOnzNI18Xbp2y3PQhVJ4gi5Xgh9TJhFM6sD3OSj0Ktt6JVMHn7NV1+dnbKqJNleYksyyOvHlYC2f7tk4A3ZFl2yrJcC1QB8yRJygTiZFleIYtXWq8Au/9J0tDQ0NDQ+H+GOSl8bbOKR1+j4T9fAJA0t4i5D10FQPtXq3e4tAHAxOeEh6X7P8piMWaf0BpolklK3lfUDLFQdmz10PmvAZxNYskwuN7FULna0DMjKg23vbOR9ied1F7WTdf7itR7ww32sPPv4U2AgKLmzuCiNqStwnMw1e+8RIfzKfpZSnLqyKJb7TncuvESvJ5BvN5huruW4pCFB7GeC1hHIt38W3Q89lNlUFMWVbesYbjOzpY/f8mm65bQ/W0DXoe4TzWPrmDLn7+k5mElNM3ZNkDnkmoanl/Npuu2raDp7Bikr7yDxhfX0PZuBTWPrGC4qQ+f00PrO5vxDGxH3NpOkBajhMSOqHiOkJf4EAA+WYQETk5+menpXwHQ51yG65FTcZ97D16fnWrb73fqOR5h8kPFlH43n9Lv5lP4+DRK3tsrbBkEfayehAPG9pYBpJ6SQXSxFWO6idLv5ocUO8egnrMsywy1CwM7OiGP0gWLKF2wiOxZ5wSERfJK/4jBHKriOZopB96yzT4AqROPCGwbLYmARELWPBKy5kUetIsZKc8wUrAcIGumUGkNNkRH8LgGcA52RDzfXB/o48ETFKHt3Ap4oP1hsW/xFzE3ZocMD4t17FKZeyyGbXcZN78H/7+skIUw8kZo8re5/duj28MiSdKFCK8eubm5u3CqGhoaGhoav2x0xm3/Lzzv9CMCxaDd9n46vl5D+kGh3pDxYMlXXy/tDzGYcw2YsvW4mhSPmiFRCeWa8koK6+e2Unu5IkgxtyGLiuPEIq1kTSbGFNHfzGToTIErngz07X1b7T3x2HyB/gBe+tiV6EnAi1pUxnXj+fDm6fDMJTiX1pE36SYGBzbiGBYG4IRZp9OyTog9bN10BcPDNcg+J7gHIUyd8jnn/o01H/nzxsIUhq99XKhxli5aQP/G8OqYDS8o4YHOzkHMqaEhpj6XF2f7AJuuDTX8XF1DbLntC7yDblpeL6d00YKw19mVJEWfTG23CMFzuNV5i9FGtQcpPupQfHJkY9Pj68CoDy/zvzOYg/L1cq7Jp/GROlJOGH/ttqLnlbwxvVXPrM9LWXeYEDxxuZsAxVpoL/uS5q8/oOCY35IweSY6g/Ks58z+HdklZ6PTjy/U1BwrPInZJWeTNuVYKr+5j/729SH9ErLmMffU18Orj/xEjBh1iTnzyZ3zeyRJj71lFQDOgXaiE9W14TYv/ROuoS5KFywKez5JAvMk6F+mtDn92jS2F/3X9Bt1kg7musA3DGvDvxPD9MsqTadim546SZI+kySpPMzfSUF9bgE8MPIainBPizxGe1hkWX5OluW9ZFneKzV119TO0NDQ0NDQ+P/C7HsvoeT2C5l5W3jxCZ1BbYg1vfvVDl/LlKfOu8m+RayKpn+RweyKCcz4OoM5ler3tIaU0GVGcD7e+jmtAa+L0ZcNc9eMOYfRoisjSpX5vDLOTzE2sxjlEfDq4Ef/QryiGDetyJIjYNABtFiuCmwPDW4WBh1Ab+iqMZdn0UkG9NZtL9bH640qv/QjZFkOePe8w268Dg8Vt3we1qADGKrtwTu47Rpqu4sYs9ozFG2ajl4SHqns+NsARQQmmFTreQBUdJyExze2AMmOEJwnZ50Ww6yP9yLr4vGXTZB0UuAlCoAhygQnvQs5DTCgVpds/lrE99V+/CqVb/1NfR5JGrdBB2C2plJy4gukFR6PpNMz5cCbScxWBIL0xmhRskCnF3+STvX3UzJi1FliMtDpTUg6faAtXBF215BwwXmckcu3DK0Gx0bo/RS8/eAcpXVkCLL/JSPo46CkS4b5PwCQeI4bywzxe5seXrPpF8E2v0lZlg+XZXlGmL//AkiSdC5wPHCWrPwL1ATkBJ0mG2jxt2eHadfQ0NDQ0NDYTvQWM8Y4K6bEWGbcGrkcwKy7Ltr5a0UrS4bcexOQ9GLxqouS0Ft1mPMN6Czqd7fhtNCCwzcB3O0ijNHTGuHCOpnCN1OAcEadWL1FMWv8H2QMJIzogsM4L3kGqicHdoeHt7CGoALnE5pBJ4tFu5+oaH/OUE8SDKg9aBZEeF/xA0eo2skNTfZp/McaVQEu/aN3M/vVE0ncLyekb/c3Daw95x26v21g7bnvsvacdxiuD823iykS97Hl9XLlvNG7RnhkPJRklpGX+DC5CXeHHDPoRYjjaK9dMCnW0wBweZtZ11LCkGvHxX8iMXvJ3kx5YhrWabEY4o2B53xHKbn0FogbgKFoOtcKI2KwvVHVZ6CldlyFysfCaI4L/N4kSUdCliiyljXzTGYe98xuKVmwI0TFiRc/lljlBdCIUecIY9SNsO6983E7w3vm9f60wqqjYW2YaNWwjklrL2SK7yHhOCNF30nMbATdzour/mzsrPrl0cANwImyLAf/K/0ecLokSWZJkgoQgig/yLLcCvRLkrSvX/XyHOC/OzMHDQ0NDQ0NDZFjV3LHhRRfexapB8xm+k2K9L3BGoU1VyycetZX7vA1Zq3PJOeuBFJ+Oz5FyWAyrwyf8zZiqDmCDbYlitGTseodrHuZQQd1V/ew5tSlrJ7cRO3V3dTkzId3fo2ZXVefbQZbKVi9BXIaQ0QU7MWiKDR7/4A53wS5fmMuqxmMIlxweCjo/m4ogRXzSW6+lSweIJYDATClRqNi5oaQeXQuqUb2ysQUpRD34Fd4s9bjMbUw8SqlZpklS9zTjg/FNTs+jlyOASBudgaSSe1x9Q65sf/YQtnCxdQ+9cOY43cWoz6NFOvCsKUXRow5k0F59z8z43tmZHxNbsIDlGT+SLRJbfBt7jiSsqZQI3dn0McYiNsrQmzeDmCMiSNuehYg0bVSfM8DzTUh/Rq+eCuw7RqwU/boNax99jbW/e22HbpuYs7+FB5yO+lTT0JvjN72gJ+I6MSJFB5yu0q1c6RkQ0v566q+HpdaOdfZH94PVDyGg3/0sa3L7qBs8ULWv38hTBDnsxSCPhZM48y521PZ2Zy6pwAzsNT/dmClLMsXybK8UZKkRcAmRFjmpbJSmfNi4CUgCvjY/6ehoaGhoaGxkxhjrRhjreSeEpoHFJ2TzmBDG22fryKxZMcU6AyJetLO2743/jO+ycBt82LOMdD6uBJClXh8FD0fDLN1QScZl8ViyhYL/YLnkhgu/jUj7+zb0q4kiysCuiS+H4qBII/f3y9Df7IwMu2fDlN9gQ2AuTVZSMbt97IYyWDwPQsQphSD179sMnhxZgaFskpAfC90+VNF4nqhTzEMbA2fQwM08y6l879DkiQK7ziErX9ZBjovnPE6TKmE7CboSYR7bg2MHT7hAbz5QlzFSRVmCpj+6FH4nF50Zj0br/6UoRoRiuhsjRyiBpBx0lRa3wqNL6t+8FsAupfX07+xA7dtmNkv/xp91E/nxctLfJCk6FMxGxQNBZNB5IqlxuSPOVaWvSpDsWfoQ2q6LyI/6QmSo0/eLfPdHjIO3Ze+RZvRe8Tz4XOLFwC5h54aMOZsG3/AtlFtVHsdQjimv6mK2OzJbA+SJBGbOm1np75bGGtem5feAEDxEQ/gHGhXHav8+l7mnBwaam3ODz1P8RoRahk1Svumv3OjsjN/BTn7/JaoWaEqvr9Edlb9crIsyzmyLM/2/10UdOweWZYnybI8VZblj4Paf/SHb06SZfkyebxB4xoaGhoaGho7TPYJwks01NjO+juexzPkQJZlql96H/vG6t12XXOegZi5ZoypevIfSyT/sUSKPkyj4ElFUbDtqX4abhQCJYlHRZHFfRQuToX/ngiAl8jGig5FgbPuOiXPyhkk3rLdBK1MdDESRR8EGcl9ao9jGleKjYlB3pekbnS6UGVQAJdLiJ/EFqdiLUpGShkkwXQi7LcCchth1no49PNAf2+i4n0bCTe1ZMURPTERU5raY+rpV8RFYqalMvOZ4yi4ch+K7z+cKbcehKTXYUoRXhtzupVJf9pfNT4qNx63TdTVa1m0kZ8SvS6WhKjDt9lvcsq/QtqG3Bsoa8qhrCmHPsc31HSL5Whd9xUhfUcYcP7Ilo4F+OTxF4DfUaLyxPfUv7GZskevoeWbT2DxArr/Hs/cqx7a5vim5e/v0HWbvn6fth8+33bHPYC4jDkADNlrGbLXiuLp/nDMmBTxIsfncbDm7bMpW7yQlvI3VeMnfwAG/zuV/FchenaoQRdichg9pJwZ+3PqxuxSftrsSA0NDQ0NDY2fBZ1J8bq4ewfo3VyLZ3AY+/oq7BuqGW7rouyaR+n4NnI9rZ0l+VQryadasZaYIhZrHhGaiN3XTMpckRe0ljj42x/D9/cIaXT7J8OBungAznoPPodMzaU2qv/Qhf3T4XHP09UmDMJpS9OZszkL6ywTMfv6RTSueizQr5gyJnAHVvYHvQ+ml4PJCentTN/7jbDn3lB2Ei6nEGSZsGA6BWcfRT4vqzvt9aOyHWQsOlCHV+qMoWGMUXnxZJ05k4LL52FKiSZp/1yiJyYSVyLUIibfdCDZ585ixpPHEj9XLc/p7lUMnJGQzj2NOPPBZMXfzPT0ZcSY9gGgouOEwPFqmzq3NJzvoLXvcbZ0nsyAayVrmyPn8O0q9HF+D++62eK/NaKg+sDafgbWju1dBYhO3XadvHC0//glzd9+uENjf2omzb9Gtd9Q9jy13z8OwJQDbw60+7xCiKh181vIPi/1P/6dga4K4o8Dq18bxhhBW9ETJidPp9uVhQB+XjSjTkNDQ0ND43+ECUcrinid367D2SW8Y/byajY9KDwgjW99QeN/v0L2+cKeY3cSs49a8TCVi5Wd4z6CdSUhY3ytCcg+meo/2FTtzjoPg6ud9Lw3jP0TB9UX2JB9YwcHOWrdlOU0Yf9omOiZRqKKgmTm7/SrMSw9MuDJi2YueuIp4hvRENcPpavJ0N2MSZfOtFn/QhdGeWHD6l8jyz7iZqaTuE82eqwUEWTIzVoHR30iDFmdMmcnoTlzeRftxcRr5wcEVPQxJjJ+XYQpOXwelSUjhvTjCgFhQE/60/7EFKVgyYnD06sUqDfE7lgR992NJElkxF6MxTiJgqQnQo77ZLXx3tb/dEiflj7FOybjDDkOMOTaQEvvQyFGoSx7KGvKYU1z4bgVSlWCQetnwhqlrMjWSzeRYjk7zCjIPXwBUalZdJV/T9uqL8Z1rRF8HsVr6+q30/Dl2/i8njFG/LzoDGrPtq3+K9Wx6ITQWgOr3zqTrtrP2bpcCO/kPiUKjcccEnp+r8fB+vf/AMDkA27EHDshUA/w/wuaUaehoaGhofE/QuaR+2KME6Fgg3WtOLuEQqJ3SB2C1vHVarrXbNnt85n4bBIJRylGT9rv1fl6IQIoST3w2hnwuxfhweshswW5z0z1+WqDDqDxNjtbT+tStbkaxw7J3HyUUtJgaINajdCcp7zRj3nzOaagLhcwmU8AmEEdWYhFZlT0JGbvvYSklCOZVqIOG3Q6mlX7VkpJQYQNmowT4PwXxecduSYH0st7DKMOi0w5tIDEfbIZ2CzCOgci1LaLRMJeE5h6569I3EdRiTClWfklJMcY9Rnb7NPS94D/v49SY7skbP27rs736e9VK2ps7Tyd1v7H8frUdQuHXELsxCcPM+RWvNrNbU+wYe0pbNp8ZohhCRA9w2+0bCkKvf6/HMy96mFKr36E6efeCMDUhZeROnM+PrcTVu1F87N1tKz8FPfgtj17APYqRXxnwwt30rn2G/ob9kzv63gomH91YFspXC4eUtnrQpZlTDmQ+yTogt5HOPpb6Kj8mO765YE2szWdGUc/Ru6cyIrBv0Q0o05DQ0NDQ+N/iJLbLwxsDzZElhCv+/cnu30uicdHM+mFlICaZtwBaq+WnljMKKIuSZwJB34Dd/6F4jNuxHzvPwHo/UwxSvMejCx64GyI7KmwLxlW1dXLvT9BPZdoHbpo4XEZuP4Y4lCXJYjnKEqRMaOuaybpDBRMuZ0o6yTSMk8LtLc2vciW8ktwOpRaDhlcTzR7U8T3xBMoB0wpMlGIMMEK9gs7/0nXi/y4STfsH/b4tkg9YmJgO25WOt4BF2ULF1P/fNkOnW9nGahpZqAuUp0LgbrGmnpJmx1/e2DbPryE1r5H6Bl6n6qKa8ApVv0Tk58DoL7qPrZuupSO/n/h9QmBHK8sQvXqe/6kOq/Lp/xmKjpOoHPgVQDaat/ANdzGsL2ONSsPo7vrM9W43KvGFify9IiXCJakNEqvfoSYLP/34YyCugKoKKb1rfXUf754zPOAEGKp/fjfIe0ev/DKnsqk/W8I5NaNkF0ivJiWmAxM0aIkx+QDbggZW/X1vWE9p1u/uovGtf/ENdwdaDPH7PrC9XsCmlGnoaGhoaHxP0bqfiKMsfObtePq37e1HvfA0LY77iB59yVS2piNPi50WTKDrZQiU4pMAf8mhycxU0g0s5icrw6/m7Uuk5QzIpdbGF3nbgTZJ1N9vk3lyUs5PfQ8xR8rgikdL4VRx9wGOflXEhsv8gS7uz5loH8t5WtODRw3M5FifsBIBpN5N/C5BeLe+Ahfq8s6OYnSRQtIKN2x/CtjYlRgOzpPMWi7ltbQv6mTzs9qKL/iY/rWt4cbvsvZ8tQitjwRPi9xBFmWSfKeDQ4zE5OVAt4J+uOJkebDUBTIUG07XxSSb82k374aOtKZmvoOFsMk8CmhkY2td7G183QUwXawOz7B61OefaenTjWHBvtN1HXfGDK32so/I8tKCLM5W/3CIufaAopemBnY769pZLBfKJO6PM0MOEU4rvMVpYQF3x6Au2cAn9tF/WeL8DqVlxlD7U04eoSnufqDl8LeL6c91KO9J5EwoZQpB95ETKpQOJl8wI2kT1XyJbNnn4feFIs1cRLRSWo10L72dfS3rw85p3tYfOa2zW8DMPc3byL9P8qjC0Yz6jQ0NDQ0NP7HSN47vKR41nH7Y4gVuVimRKHy6HW6qfzb22y48wV8bg8Dda30VzdtMz9td5HGZcxAhIaacpTFWd5fEzEkCeGQog8V42v68gzm1mchmYV4Sjj6Vyh5VfFHWChtzA5bdNqUrVyv8TY7vuHtvwdTiv1CKz4JNglVP6cjfP2tYJI4I7DtZvtCLMdL6aIFlC5aQGyJ2pOx9fZlNDxXhrNtgMq7l487l2xH8XnGp1za1/s93S3LoDONGP0+mAdLwW3AXreOig0XgC0Fuv0qqx1pSkkKwGzIF+UTHEHGli2FocFNrG7OF/teHbiMrG2ZCojSCc299yIxKv/Lvijs/Hq6PqO99U1k2YMhTsnPnLFoDmmnZmDJVa5du+IxKsovwO1tZ2P7YWzpPBlZDi1I7vxkCtXv/5OuDSvZ/NojgfbNrz3CxpfuZ7Ctnr66irDzaV35KU3L39vt39/OkjblGICQPLrErHnMPukfqvy7gn2vCmyPLk7u6FOHOMOo/MYwDLbW07H2a1wD9jH77YloRp2GhoaGhsb/GNY8teph6SNXU/rI1WQcNo9Zd/yRzKP2xdXTj9fhwmUTeXeyx8umB19hyxNvsPXpxdS++tHPMXUVOrOyQAv2rFlLTKRfKPLzzNl6JJ2EOc8Q8NR5+3zYPx3G1Sr2K08Pyr0bY82nM0lM/ldKYH+scM5IBBaVb54Gt98Bt9xN+YeXjznG2eRBt2FvohAe1vU9hXS2v4vLuXuMO0tGDKWLFlB032Fhj1fd9w3OjkF8zt0jvFH/hpKv6BkOX3JAlr30dCniIevLjsfZ3QFt6mebIf9z4VHX3PO5PQz2bxaGXzDtGcKYc5iROnLEvgy9w1/Q0vewuDZOSrMbyYz+kzDO2/25fUlqT1ht1e001T1OzdY/A5B+hpibKUOEf+pjDMz5ah+QfNAl5rG+YV98AzJ4ddQ23RLyub3NVvo2i6L3ss+Hq69H5bGreP3xwHZ66SGUXv0IpVc/gt4sPLHtZcuoX6L2gPatb8c75MbVPcxgVTc/N4lZ8yhdsAhjVORQ6pT8QwCISSnCmiyEf1yDHao+zqHt+3047J1UvPE4jV++w4bn79y+Se8B/P/0P2poaGhoaGiMSfaJB9H03nKmXR+qvGewigXglqcWkXmkEv7l9Bt4AD1rt+I55VCQJGSvNyDA8lOji5HEIngUWbfEM+G6+EABcnO+gd5lDnwumfKD2vDYRGjc3Jos1bj4Q0LVKoOxTFSWTs46D1FTt79Ad0npe6xf6F+IVxbCVY/DqZH7l88XeVypqxcy3OYDewINhgcBmLX3pxgMsZEH7wTm9PCF5vvWtlF+2UdYpyZT+OeDw5ZW2BG8DheSToejUxGIsVV9S3LRXhiM8aq+DTV/xdb5wfhO3BOUH2lygstM+ZpTIvdvEc+EHKh4r6PKdi4JFrVaYuuW1wFFYAazk8zi02jteUxlXNq7lwGQdWkeEy7MQTIoPhWdUQdJ3QGjjrZMv6GYTk+fMFLyb5tM7D6xbDh+jTBOPzweFizGHJ/Ehn/chSk21PhJKppL1oHHB/YlnfId2TatIudXJ6M3Wehd20bVvV+rxs585rhAPcM9lZSJR5CUdxB6g4Wph9zB+g/+GKhrN8Lo4uWFh9w+5jk3/vO+XT3NnxTNU6ehoaGhofE/SNrBc5n55wuIykwJOWZJFyFrwy2dODsjv7l32uysu+1Z1t/+3M8W0lXyQyazN4bmkUk6CV2U4nZzt3mRnbBmUnPAoAN1kfIZKzICoi2RMOcamLZEhCcOb3Uje7f/cxtNofe8szF8geng+9o591w49mO4V6nbtW7VUWFl93cFhhh1WYOpd/5KtT+4xUbVA9/ukmsBrL35aTY9/C9MCYqR2vTP9az78RhVv+GhWro63hv/iQeU8+Xl3xG+T1ZT5PFuI8gg+/MbZ0/YouTLeXXglYi2TmVm9ndkxl9BXtq9YFXnXMqyVzyTZrUB7JOdkNqpGHUA/zobHroenhO1GS0FUZiSRr1scBnpbxAlLlz9PYwmNrdQJSQTP0ldidtpFyU+Rht0ABsu+XCPD9GUJAm9QdwTSafHEpeDY6ANWfbh8wqFU0d/Mzq9mZSJQtTIEhs531T2hYb87un3YDSaUaehoaGhofE/iCRJqsVzMHFTcgPbzR+qF+2GmChS9hVKjO3LFRn41k9W7IZZbht9rC6swMpojBnhvUlD68QCMO+viZizDdvMuQGIKhbeuZYH+1idH5q3sy28fcIgME8ygFnkTdk2hS/67ukIUy+wfGZAwRGgveXVwPZg/yZWrzyI/r41oeN2guK/HkFMUQpT7z5U1d6/i4RTRhbQzk47zi47sVNyVMd9PiW/bNO6swLbsXGl477GjDmLiLWq+8fEzia76AKmpr/NjLlvhR/YmQZNOfRWbiJatzd6XTRulz+074w34Iw3iY3fG5NhApIkEWPaGyzqsNHVKw8Me2qXpwmSu8CWrDSun6XqY/TbIhPvCVLQ/O+v4bPDVf3yDl8Y2E6etrfqWO6vTmXa2X8K9HHau1h9+n/Cf16g4bmfR/V0RzHHpOMcaGP1f05nzdu/pbN6CZ1Vn+DzOsmZ8zumHfkQRktCxPGu/tAcOs/w9osh/ZxoRp2GhoaGhoZGCBOOVUvjT7/hXHJ/cxglf7mQnJOFx6YnqJZd25c/sicz8enksO21lwtPZPyhY4ddjsXWM7cvd2dEsCXrhnimvim8foOVbZSt2A+XS30uRwTFTv74j8Bmc8OzlK3Yj7IV+1FRfgEAvd27xoM2/fGjmf740QFFzJjC0PvoaFXXTmt7bwurz3xru8R0OoJeEDg6ezClRUG8nZFaZC5n+PIbk4v+SnbeFQBkZl/AhNyLKCl9j+mzX2PGnMWqMhImcxZmSyZZuZcG2vIm3Uh64u+JMe+F2ZxJ0YwXiIqegiSFL77ucYnP6nQ0gUMR7Og87ljlOoYciHIQlz0DEsfOUdvYdggkd4vcv6EoUZx8FN4oUdrBOiNOfcCuDrtMnjGPgmPPZurCy0JeTugMBqJSMkicOhuAwfqxjfGuz2vHPL6nYYnJwONUwsMbVr8Q2NbpDETF54YbFsBpF3m1WQccx4T9j1W1/VLQjDoNDQ0NDQ2NEGIKlFCljMP2xpKeROp+JUh6HTpjaEp+3NS8kLY9CZ1FYtpSRdVxwg3qBbIhdfuWRJP+oRg3/V87GVwTWtQ6EjWXioW+OV+PpcBvGGwuhoWLqL1SbdRVnz9qYan3G3lDZlj0m4jXaG99bdzzGQtLZiyWzLFz9nrXqA2u5lfXI3t8uO2Kt6rj63JWn7WIwepQI6d77Raa/vtVYF/2eJGsLsirByRwGVXF2kcMrumzX0Ont5CWuZD8ybeRkXU2mVnnYDSlYInKx2zJImPCWUHjhKGTkXUWs/b+lImFd2OJUi/2rbHTmDbrZeLi9wIgPkFdF9DtFN+Hw9EE7crz5OtVfhM6yYzJkMWA7iuwKrXhqirUNe/cnm5oyoFkIbCSZroc3ZKT1TdnciWb2oR31JRqYuJ9herjnyueU0nSkTR1TqDGXevbm6l6UG3cl1+6BFbMZ2BzUMhmXC8UboHJlZBXRySaX9tA2cLFlC1cTM/KMcJVfwbM1vC15/L2umhc40cMuKTiUhKnlPjb9uwSEKPRjDoNDQ0NDQ2NEGImKgIiibMKx+gJ8dMn0ruxhtal3+/uae0UUUWKqEncQYpnTh8vjSvsMpiEI6PIvl0R72h9Inz9uHA4a4VhZs4zoE/0L8XeE8XGBz6IoyxHWTB7e0d5u+66Tdn+z0IUy6APAAAgAElEQVS461awq0VERgiutxaMu93L1jM7cXeMr3TAaKY9fCQFV+3LtEeOAqDppbU0vLiGrmV1tH66KtCv8p7l4np2B41PbkZ2S1Tc9HnI+WpfCVVS7bEvgRh/+NtAjPCMAT6vE1l2kZl9AZaofEAYM8mpx6DThYrWGIzhPbQGQyyJyYeGPQZgtggBlPwpf1a1y91R2Lu/EvNpV4vslOU0UZbTRN313fjkYXzykFBTjRJ17np7vqGsKYfKzrPw+gbZ1HikGJgiDArr8P74WsV3WfT8DBIutMFZ/wavnn7nSgASD04m5+p85aLdybB4AaaE1JDP0PJGOb0/tgQ8ppv+tBRPryjfMVgpRFgS5qdB4VbhLUztgowRA13G51U/H23vKqUSap/Ys37rhqDQSoNJeQkRnzl3XOMd9i4kgxGjNQ5TXBIpM/fFHB/+2dlT0Yw6DQ0NDQ0NjRCCjRxzSqjRMPkPvw46LhZULR9/t/sntouIKjSKnDYg6eQdU/pLPz82kKvX+5mD1qfGNuz6vnKoDDZ9tC6iMVl7dTc+nz+fTu+BJy+DhW/CpGrMp61WOm4ogaVHhD2HvfurkDZZlql89Av6v3ZScXJHmFGRkb1e6t5cimTykrRfDlHZirez85Mq6p9ZRct7PwTaHI19lC1cTPPrGyKec6gpfBigN3uDYtR9fjiNz22gtuouOjveBcBsyQo7bjSSJJE78QamTn92XP1HSEk/kazcSzEY4phYeB+Tpt4fOFa95SYGBzZjsIkcN8Op36jG2t4YwuML8vIkBnnFmrLoa93A2pYiPG7/8+L31DU8rIQ8WqfHknpyFsT1Q18cWzsXUNaUQ0vfY6SckIZ1hlqZdPJhF0f8LCMe0+G6oLyx9gzQe7DL/wVjUIivToaCGkBiuEl5Pga2qD3GsidMrufPSEzK1MB2fMoBgRcdBnP4Fx6jcdq7MMcnI0k6dHoDeYcvJCarYNsD9yA0o05DQ0NDQ0MjLFMvX0jGoXujt5hDjsUXFzDhmP2Y8sdTMCcrCyefZ/fULttVFC5KIfOqWHQWieIP0kheEE3mFXHbHhiByS8pb/NbHujDbYvs/ar8rbIwzrpFuWdJ54YukLv/M8SWS/zG23kvYcmPgt+8BRIU3X8IsefXBPrqkyUys3+vnC9FeIBqtt5KU92TKpERj9vG8IDIhXQ1jN9T5/N42frsW9i+L2fLS/+M3HE4KqTJ9mWdat/ZMUjnZzWsu/B9Kp5SxDpyFxwOCxaLP70PrEFiI70JdL+op6lO1GEzGiPXMBtNavpJxMTN2nbHIKKiJ5KRJUI3E5MPJiHpINXxgb7V6DryMCTpSM09JmT8hE1vwYf+PDu9T4Q4Asg6GPQbZB7xUiF7ykUY00x4+8X3kXSkUMK0+L2Fgf5Aa9/D6Cx6Jt2rGDEAHpt6Se9oUfIcnW0DeAbChAdLcqAuo85oJnHqHLHjF3mpuHwVZcd+RNmRS9hys/oFgTFxx3NQdweSpGPi/GvInn0eth82CMXTtuxxiZ0MtNbRW7MRg2XPLuOwLTSjTkNDQ0NDQyMsMQVZZB1/QMTjmUfsQ9zUPPQWRVTC1T3+MMSfg9j5FiZcKwwqfYyO/EeSMKbueJ216OlqQY2Gm0NV9EYwZirXCXbQFdydS8pZVsxnfw8z1wfahz70F7XOaKNw+tNMKX6U5NTjMRjiyLtAyfXy2Q1MyLkgsJ+WeXpgu731dfp7Fe9Zt+1zsCuhaq1P9eFzbVvQpG9zLQM1Iq/N064sH3N+N1vdcSAWkMEyHPFclfcsp+G5Mjx2B2aT+Iwld1xI4l5B+W3taaQMXg39MaJsAIAjCnqFAR4Tu31G2nhxNnjofDW8IVAw+XbVvtyajjnfQOq5ofX8Ws6fAHffRnyD34NmGPWyozMFesX3kJ55JoZ4JScv/SyRzxqu9MUIhmQjSUenkHfzJDHvZrXa5pbblymfqW0AZ3uYzxRUkH3OZfcx8dizyTnkZEW5sytViLEMxEKPMKInXrcfGacU4+5z7nHeur6KBmR7kLHpgeavt13LcMsbTwAw0FyzjZ57NppRp6GhoaGhobFTxBcpYUrOrshGzQiyLGNbtRGv003X9+W0L/tlyaePJuUspbads95D3XXdqhpXPR8PU3tFN+5WxTOWeJLaK5B3fyKxF1TDbXfDwctUxwoPvRWjMYm4hH3Inyxq1JmCDET5jZOplk8nq+h8oq1FREdPVo33eBRDu6nucWjLCOy3PNBH053b/s48Q2qjoenjZfg8HnRJTuLmZEBisDEvQYoNogeD2mTIECqOklExBhwVPqJz0jHGWqmpDMoXfO0sul50CcOndcKICCYsOYqo6Cno9KHe411B+f5tNNxkx9Md6sVMSj2SvIk3BfZ9LfGY8w0Yk/WUNmZT2pitEtAB6D3tHLEx2qhzqD2aw5VDgW1LrjgmSRIZWeeKRq+yZO93rqTX8TkFf55C8tGpoJdwNinfT8u/a8BrEmqa+I26NmHUTXv4SKLy/F7iVBFemV56SGBs2pwDmXP93aE3RhZvIRLnZWHOiAGvTO/KLgY39dNbV/GzK0XWffo6XRtW0vyN2ohzD/bRtfGHMWvO6YziWSo45re7dY67G82o09DQ0NDQ0NgpDDFRlNwpCiV3rixnoKYZp603Yv+B6ibqXl/C2pueov7NpTS9txxH+9jS73sy2TfHB8LYhje6sb05RN9XTnq/FAvtmgttdL8jFu0Zl8VS2piNKUzdPGnkJEcsVbVbC0KV/SS9RNR0xdNi/66R5sQLKC55EUlnIDH5sMAxp6MZr2eATev8BkJbBsQqRljny4P0fyfm6h3y0bdcbcAB2BvUJSval65hzZ+epP7NpUhp3WAN46FN6gkYcgA5Cw4EowtHw5Cq21CdUPzU6yKHv5mmKXPKn3xLxH47Q3AJhpGyE6NJST9BbLgNeNtNmPPVSrCj9wGM+sxQo27kmEl8txlnC+9c4TPT0ZmV5flIIXmpKwcQ597auYBq2+8YdK5BMkgYEw20vdKMz+ml/cMqWp9ux7M5DrqTMVoTcLYN0P1to5hfegwTFvgLkefXAZB90ImqOekMesWIDkxEIm52mjgumcBtoPpP1VRcUE7VGy+x8ZUHg+YsY/+2B9nz0xTvdg8NYNu0Kuyxvvot1C95g6GOJrxOB30NlQA47J0Md/mLlbudJBbOJqlofKIqeyqaUaehoaGhoaGx0xiswivQW17NlqcWUX7Piww2tiH7FK9Md1kFnoFh3P1DIeNd9v6Qtl8K+jgdpQ3ZxAXVuqu7qpuqc7ro/UIdhqizRFbZDBhihZUwsRqA7Be70RlDVR0Bpn2STuzR/lypzlRYMxufLO73xMK7MJmFR6616UU2rD6V4aFKGLYI79csdbHzrad14bZ5abzFTuVZXfR8qHxHss9Db1P44ugAvRv9YWvpfuVEKSgsT+/3eMX1kXrAbHCH1n+LLRCeXhkflqiJzN03tMaea6nifdS5xp9Ptz0Ee1IddV4ctW48PRHyDmsLQJZCjbrcUKNuZtr3zM2tQ6+PRa9XlBmTUo+hpPQdALIuzqP0u/nEzlbndyYmHQKAzmulMHmx6lhF54k4PU24u0TO5Obfb6Dp4Qb1Z9oSQ39FF70/tojzmPQkzMuidNECrNlZmBPTwn4847716gaPgb6qarxDXmpvqhdCKyN8cDyyVzFae7+zU319Be2vi2u6bS6crc6w19kVOHtDvYQFx55N/MTpgX171QbWv3AnlW89i3uon40v3semZ56h4XNRcH6wvXG3ze+nQjPqNDQ0NDQ0NHaacCqOFY++Tv1iIWHfV9lA7b8/Zt2f/xbWi+cYR9jmno45R/G+eWzCsKk6V13rKmZe5LDB2Pi5lM7/jtL538GBX4v+hRkR+wPkP+5flL9yDpz4Plv/+n4g1Gzm3LcD/bxev9Hsr62We3KouIez3kPPp8IIrblIeE5dzR6aap8T49LbsJwT3iMCMPH8oyhdtICoecLImHju8cKDmd0Ecf3iGTEqgh2pCzIBSJo1Q1zf0YzFkh2Q3Q9BJ54xj338NQG3h+BC785aNxsPamddSSvDlW5Vv9kzv4Fb7wHAnKf2uAYb7SOqqk139SJJEtExRcQn7ke0VYicFEy+jW1hjZ1OtLUIr7ef2k2hYZHlbfORTOKajtrhkLBOAE93+PtZdMZVzDjvxrDH5BFxll99AUWbwaeHimLWHfNDaGefXlWIvXe5eHa6P7fR+W47608oo/zU1aHjdhF9m5rBoyf/6DMDbeaEFMwJ/pxEh5m27z/D5xLe3r6aKuGtLp9J10fCmEsu3mu3ze+nQjPqNDQ0NDQ0NHYbtu/LGWxsp3+L4kEYqA4tXDyeXLyfE5/Hg889trLnyOI6EglHWYidP75csNl3XMe01SaseeE9KSOYomMgtRtWzQNg8MlSmh7oxNUaOlejMYVs070AWKeHhjo6tnjw9Sshc+4OLxv2bcN2Zxa4zNCbQHHJy3DKW6JQNSAFFaIfKW1RfNWZzLj1fBJnTSEqUyys5zx4BQApJylF7b3OAUDG1TWMz+vEMVyL2ZIVyP/Kv2wes/5xIgnzRPmCoivPAhmGW3dPqO7AKsVYbH1U8RxvOrQd2avcl83HKVL/5rxQz9ys8gnMWj8h8F0PlYvzTp76AHmTbmTqjL8ze15ovb5IDA2K+nBuVwdRxukhx2cvnTP2CbrEdxAiajMK77AXR9MwHrsbs8fvGY0ZAJNyX2R3hMHvn4jX5WC4boiu98X9Gd46SMODivhIcHhrMLJPxt0jhFd8bi8+19iqrG5vOz6fC1e/HWfnIK1/b4FV84hOzAe3+D7M8cnCqOuLhTVzoUP5HdU9tA7q/HnATTngk8jc98jAXLzDkT7kno1m1GloaGhoaGjsEmbfc0nY9opHX6PtC8XD07dFhHZNvXwhxdf+FktG8h5v1NUv+ozqF98bs09wcfPRTHkjhYJnxl/MWK+3EJU6tkEXoDNJtdvxtIsN89roenNQZTzIeJHbxBzMeQZ47g/w0rnkPiK8O6Nz6fq+8efZrSoCwJhsQqczMmOvNwJFqtMPUfKQRuoZSnod5iQRRjj18tMouf1CkacF5C44BNLaSTohHmdPL5JZwtk2wJoffiU+tyEmYNRZpyRhiDVjShNCNBXXLoOONBoeU4pg7yocNW5aH46s3OpqUQwNZ41iMBuTQ3MjDfE6DIk6kk8XhrMxXfTR6S3odGZ0OhN6fahHLRI6ndJ3aupbFKW9R2bslYG2rT1nwGlvqMbMfH8uBbdP8U9eGJepR6sFdEaz9rAf2LhwLeuO/ZHBz6ygB8xOiB0jNDpKCdPt3VDPpjMjh+m6beE9rM3PNrD+uNVsuXM5G6/6hA2XfBjxHIOuNaxv3Ys1n53AhhfupPGTTwLHNl3xJfy4N1NPuwKDJRpLQgpsFF5g+oLCWoes6pM6LYFIg5Y3yll77rvbNCz3RDSjTkNDQ0NDQ2OXoI8yM+uui5h23dnj6h9TkEV0ViqWlISf1KjzeTysv+N5bD9uHveYoYZ2BhvaxuyTvCCaqe+kkvQbtRcsdj8zcftb0G3Dk7er6X57SGU86PVWHHUeDKk69DE6SOiF6GEasoX4R88HIvQy41KR91V3pb9odr8VmrIovkSI4Zgt2XDlE7B4AR03KYZnuHqGeosJY5yyiJYkCWOame41GxmsbUEfZ2C4RfG8mcwZONoGQCdhShXjzClB99Ofk1e2cLGqFtsIZTlNqr/eLyOXVhhh/cUfsPHw1jH7bD1diLkEqyjqosf+PiVJIu4gM33LnZTlNLGmsHmbcwlHyV7vBwy77o5PsZrmkBl3DfEW4V0adK0KKFkC8MxFkNAt6t3pAZOTlMMKQkKkW19qomy/FXS81YZ3IIwX2gsFx51NwfmHkn1thGLviT2gF2ObHoiggKkTBtKGk1ZTtt8KyvZbQe9K5ffe/prIvRv8zoOrcwhPn5Oq+78Je6oBp//lUI3wtPW+H1pWwf6ZCO82J6YqjXLk76rgsAsD223vihcGdc9GDjPeU9GMOg0NDQ0NDY1dhsEaRdSEFCaecxwTjt1fdcyanxnYnnHr+YFtc0oCTltvxPCsXY3L1oe7d4CBupaQYy2ffEfZNY9Sds2jrL3lGcqueZS6N5bgtPXiHXbiGVR7s2SfzLrb/kbnivVIkkTMXmYsfvGM1HOsZN0cz+RXItcb2xXMXBk+787V6qUsrwn+cxpc+HcKpz2Ls86DOd+ADxcUbwo7LunUMCqU1ZMwRoXWY/PZorBsPYVJvzth3PP1OhSPjSFex3D1ADx2JQxYSUw+ira3N4NPRmcQy9RIHqb+TZ3q8w6FLvBti0JFeQB6fmhm9W/fpmzhYty2YXD7l8STK4k6Rhh4hhQdeQ8KUZaRQu22N5Tzzfwhk21hzjfgtYt5+YbF8+1jmDXE0s3r2xwPoNdHk5ElXpS0Nr8MiGLb2fG3Kp10/s+e1Qgp3dR1XwNA8tGp6C1RdJ23P2VI2BGS/13vtdPynMgna3y4lvUnh895S5o6h6SiUtJOzRb5daPJaYQ44eF0Nylmxcy356Kf0gGZLZDaGTKs6prN1N1dJXZGfvZDVpGb15ZO7wobZfutoP6ZtYExXd9W0HRxNLSlwXBkpdT2D7aKe/WvqkCbKSqNKaf8kZyDfhPS390lcg6Dwy57vv3lCadoRp2GhoaGhobGLidxdiGZh88L7GefdDC5px4a2B8JzwNh1MkeL+7e8EWfdzUjoizhvIOtS74PbHuHxWLP9sNGZK837Bh3bz+ewWEaFithjiOKiAlHRpFxcSw68+710JmyDBQuSqHg6SR45mI4899irrUe8AGLTgV7IhsmDzOw0oWkAxd16rC6P98R2HQmrwy9SEc6XW+KunPOOrVXx7FOT1Rs/rjna0mND2xL0X4RD1lHlv4+vGFEUiSdxNS7Dw1p9w6pc5/ClSHo+WCYuusUT2Dzg72U5TTR+HgVssMH5dPBHu/3JsmQ2sVwTx35jyQyfVkGKWcIb6E+XnyH9TcK72X2rfEY4re9jA5X4qCN+/ExQC1nUoZEL0q4YQdPU4aEg600ci3NCDGV9AlnARATW6Kc25CtnPTt30CSjdS72wHod37DkGsD5mwL3j4f+MRcm7gaG69Sf7+60LZvUDzfGedkEVsaR+ze8RS9ODNwvIt/wAXP+/dk2O9bOPZDSOtQFE79ZJw9gc6qpXitzaD3gTF8Lqrto068gx708UEhrMNRoih6p/AAd706TNl+K2h8rJaGF1eJUNL/nhSYBgBRQ6SekB84hSUrlrKFi7F9FaTg6bBgTZ1I4wPCW2ou8jHtYeHpbHp5HWULF7P23HdV8+v4qDLsvPdUNKNOQ0NDQ0NDY7eTdtAczMlCSAOdevkxIrCx4a4X2PLUot0+F+cYRl1U1th5bKPHBKt2eh3CIIk/3MKE6+KIGacoyq4gdr6FpBOj4YQP4IHwioYjDHzvwkmVWHCPMGMjXPI0PHg91T/eBUcsEaUJCpTFf/11Pcg+mdanQnPP2p4Zf0kK068aIb8WogexzlXuUcebrTS/tgGAjFOKVWOsU5LIOW82GWfnQJowXEZy70Zw1oXPg7K9ORQIx2x7UszTvXwSDEVDfxxsniaMnmwh4GOIN5O8wBow2tJ+H4O3VxYqmP5blnpuqNcyHKONOu+Qj1buVLVVcTxexD1t5DIANjKVDh6hDaF4qdMZMZrS6bF9js8rvMWSZCQx6nhEjCUQPUxO4WWB89b33Igzy18eolmET1qZT92QEm44moxzsih8cjqFj0/DWqR8xgYuhIJ6uPluUUcxqwWsQ8Sd10nWBVNV5zDMaqfty++hKzUQesmEZjCFGuxrj1iFtzfoexsOn2vYsagN2e73zm3xPxsl/vy9zFayFsxhwmnTiZ+biaNZ/SymHD4Rl22IvvXtgbb8Mw8jKieecOjM4n56HWMLI+1paEadhoaGhoaGxm5jykWnkHPqoUiShN5iYsKx+1N05WmqPiNGHcBATTN9W+tHn2aXMNTcQdN7y2n671cAuLr7cHSolRS9Q2PnYDltdrxON/VvLsXdP4SzSynPMLKtt+rIvDLuJ8+hU3H3GAW6lx1GD37jeVKVUmbgkK8gvx6+30fk2/3mLdirDJKUsgzOGg+2N0UIovVqJe/JEyXUTT09Puqu78bbHxoKOYJ9+H3Y+0c47iPkeCUPy93jCHhXUg7JV42RJIm0Y6dgLUgFkxt0Xro+q0H2KtcZ8dQlL4ym5Mdth0ayoSRoRyLlpGxSDp+Ip89J1+eKMetqF0bHllOVMMKx6g0GY8pWC6kM14fPHbUj6tWZmBhyzIUwNt0uYZRUbr46cGxi8rMUOUTopCndiiRJFCQ9DUC0aTq27L+Ijs1ZRHn3oe/RaXD/DWHnkHpyOvroUOGXHt5Sdo7/SDwbAOe8jDHTS8aJU5Ui8wY3TSvfgK2FYt86CNYB0MmQ1gnxdpKOCycY5He7+UKvH2AgyJDuiw28lMg87GCahm8h5dcpmDPUxnb+ZfOIKU4BGWqf+gF8EnQnYk4TeaMjyqrBzHz2eFKPnkzaNoRl9jQ0o05DQ0NDQ0NjtxFXmEfa/rMC+5mHz8Oao84BMyWoF2KVf3ubgZpmbKs27vT1ZVmm4ok36Fi+hqrn36V9WZn6Wn9/J7Dtc3tw2fsxJsSSOFssSkfnirV8soL6RUvp+r6c1qXf0/zB14FjTtv2i704OrppX1amEuDYGabgDwM9NWgh/sL5xH74qNh+4nKYtBUbL6MjViy0E3vUJ4n3L9oP+RJy6yFJMXw3/krxdgxe9Ds4QHx++4vJrDt7KetKWrC9McTaaS3UXKyu0Qfg86kVEL1J9ehm1Ib0M6WGz5kyjYTt+hf/Q7XKPXfWeTAk68h/OAljup6My2PDnSIiyUek4WgWHrP6vyvPSc7t4qWDt0cYESm/tYYOjkDUFKGIGjNPCLzU1d0Rtp8XEdrq6zXCogXC+PBTiwi9zJt4EwAD/euQZcWYrbhZfOcpB+cDkBR9IgZdKl2DrwsPGcBN96P79lA8iw+Gz0TYIROriLn7CzLOyyDhgR9wX39t2LnVoOShJbJQORDfixdx/03z24WnM6MdehLB4/dQJvbA1CC10tgButetY85X+6gvkh/6DCjxlX6koP2NMwKlGvSFTXQNvkZL3yO4uoYCQzMO3wdXtR6cYi6yywuDVhiy0rFIPMej8zVzfjcbQ4yJ3N/PQR8dWc12T0Qz6jQ0NDQ0NDR+ViRd6HJky1OLqHt9yU4ZOwO1zdhWbWKwrpXGd5fh7hsMHDPECqPB1dOHzyVysxrfXQYyZP0fe/cdHUd1PXD8O7Ndu1q1Va+2JRe5WwZsCCVA6Nj0jgk9BELogRASSEJJQkwIBJIAP2roEEMIvfcAxpa7ZcmWLVm2qtWlXa12fn/MamdXu5KLLFuC+zlHxzNv3sy+lQRnr9579x57AGMXHEvJwqtJnFpIycKrKVlozI5sW7IWgJ7mttC+O4Daj5fs9BjX/fPfVL/6MVvf/Wq3BHZuDiWXe8HVodeT++fFcOQ7FE67Hapy4URj35CNQhxMhezN4G6B2V8zZdYivYaXoxNSG2C/r0j8xTps4/rtDcuvhLhueOjiUJP/w8glk9te64pKftPU8LYx1oR98fo2EvjRq9gmRe6PU0yxP6La04LlG+L14MvXZMys9iWB6ZP5Mzfug6KXwFrHxJ5FtBWYyb/UKELd8m0wYUpS5HvIuGzHg0XFrFBSlUPho57gGPWgdgJ6MKyi/0FjK3fRytv4Hz0KXjwVXp0HpfpMYjsf000ZyalHhZ7bWKfvwwv/nfEcbszy+QP6rKJqNwKTjhv7JbO55CHaHf/FcvzXNB94Fc0sCgWXoXswgtsUzmcszzH22AWkFO9DgvkYvFQAMG5B2LPXTgRL8Od52vP6njol8nu+tete4vfRlz+ax3Zizoj+3Z/56Wy48GE9WFR7wW/GebT+BwdLpgrv6/ssq5VrwWehc1Ee2Wfp3zOTxc3WxzZT81AVlb8O1sjUgBY9QA949fG4ipKJn5bOuOv2x1WcSvIBeVHjGC0kqBNCCCHEXufZfxrxRblR7d66bTF6R2pduxFfvyQrmqax9r7n2fjs2zHvKbxgfui4/JFX6K5touELfT+XLckd85643PSI8+YVFRHnHRuis2n217yyIiKDZl9ymJo3Pt+h97ojTAQDn3uvgqPfxEIOKnZMRC57s1NIMcsosXfD5FVg8dPTEPwwHpZdMPfQE5n8fuR75+OD9H9dHQPMsuh6aiM/zG9af7f+zIJrsNmz6epcBwTIvCKJmf86SR+/c+AZEtVsYuyCY0NJXrxb2+kob6KrujUqqFMdCkX/SqWkKoeSqhySjtf3a7nPMJbMZl6lB2hqvII5WcWeFU/GCXpdvvK7PqW1dCurrn/HWKIKWLMGWSI40LjdwX1jj/0YgDhKKEFjJm1YyKKHKtZxJLQFA8anz4bbg9ktW9ysXHIuqmp8XzauvxNN8+NvM8ZlSbSHjlPi9Nm1wED7wopXhhKY9PQas51tfBDRbQ1GkJvDnwFIGj+DgiPPxEYhXSxnG//GkZ5p7J8D6DXBgZ9D1haYuAbm/A/mfhG6vOWdTxl7VyEz3p2N39eEPxBWDmHiatjnK9Y3Xar/wQH0ZCydTtL2L8E9PR2z3Q2NwayyqgbfzqLzoZn4qvyUPH8qOWf3K8i+LRG8kfs3A94Aqs3M+F8dROK+2Uy49RDM7j23D3Z3k6BOCCGEEHtd/imHMf6yU8g4dJ+I9pV/eJw19z1H27oqOqqi68T1dnlZ94+XWfmHx+msMfY8NXyxbNDXs3kSUYIFsdvWVbHyD4+HrtnTYxcJH3PWUTHbJ/78jIjxtJZtQgtodNc3421sRusNUPdZKeUPL6LikVcjXiuct6mV1ncdc5YAACAASURBVLKNQ56xc3FgxHkP+gfjHP4EgIL+wdWGsfSsgCcBqGwJFpBPq8Vs0b8PFosHRQ3bQ/bSSaBqzKAVN0fBs8b7j3pPYZkyOzvK0DQ9CEnNOAmfz6itZrPn0PqBjwnXzWPGoycM+v6cBZn6B3m1F+/WdtZc+SWrrngfX01vzGyTfcY+kEJJVQ7+rjbUjFacJVYyr3GjxinYC8yhOm7hhafX3f6JnpBlwtpQm2Le+b2SXoL7RGuyGdvxJipGQpAewv4YsHJy5I01mXDXjXDndVQ/UUpW0/16xs5uG+s+uYNtn+mzUIU3/iDitsTEYLbQ1gQ48ONBx9bUY5RWqOB4NPxRwd0YnsFMUkSbH3157XpOooln4byw3+seK7njfkpJThVMXwZHvaG3jw9+H587g9LzXmHpj4MzxwEVTn1B/5q6Ai5+iJaGL/QkNtnVofqE7W/EYctw0bWh31LnrfqS7pqHq2hb0sK29/st/e1wQU/kHws2/TkyA+hoJ0GdEEIIIUaMrGP2j2rr2FBD2YMvsuaeZwj4e+msrqPq3x/gbWxmxV2PARDo9rH67qfwt+vL8Ta9GKOmVhiz086sP14Z1V5w1pGYnfYYd4A1JfYMnjM/k7HnHQdA3adLWff3l6h47D+svPNRVtz+KOv+8TJVL71Pyyp9Rsvf3om/Q1+aGL48sfyRRaz7+8s0L6+I+To7ykY+JWh6wAWo6HvAPJxPCRq5/DXYb1zYPeOgKQnvOwV6w5wvyR/7C0rmfh5VtJpxFYzhGUzEU8QbeibEqly45O/69afPhMcWAND09ja8HY00N31Md1dl6BGKopKSeqx+0u5Eqcuk4sJG1p5cj7+pF9+W2JksAayJ8SRMHoviUGhdVq8nPFk8GzSw5Q8c1PXx1nbgOqmRiYvSUBQF5ywrzhnW0PVYyTOw67OrGdfEzs643dfEqJmmbIxMhmJHnxlkU250opCr7oUKPfiufa2Mmscr4J0j4JX5tN0/iapH9TpuanoPTTyDj0208xkV6jzjGT+7HxL6BUGzjLp0vu7IP5as5zTKOJRmXsFECh4uJZmwP1z0dtDRvhrbNqNkSSXnwNFvRtSysyTr36uSnCrik2YF32xknceQ5MiERbxzhL43DyCvKpSIpf75JqxpYXsaL3sAAGuDvkevY2U7ZZevovWL6P2ttoTIvby9bQP/jo1G2//NF0IIIYTYQxRVpfCiEyh/eFHM676mFlYv1Ouw1X2yNOp66a//HrH/DaDwkhNx5WeCqqBaLBCWZCL72APY/F897Xvy7EmkzC4ecGyq2czMP16J5vejWq30dnVjsuvBQF8Gz5o39SVmLWFLM9vKowsZl97yd32GL3xWLhjg+ZpaovrvirE8z1LceLgwoj2OWcF/jSVqNgrh97cYnay9OOLGRdw3qzKbb31x4OjGQb8ZJYCb7tQzaJp7Q0ktGh7207DmA7jyvlC3qSWvABCvHoTLMYf2yxawptH4sF86Xf8AX1IVVoetH5snEc1Xhe/DyHT69gITPW2daP5erEnG3rfezh66a9pw5CXg3dpO/CSjIHzRkx4Ii1vji1MZ/+uDKfvtR6E2U5JK735f4jzkgAHHFIuGhp+telD32i/guP8SqEyHsF+zYlayiil0VyXpCVJ6LPryxbhBMrHWRAaeZYEDIJgls4Cngm+kVS/ZAHDwR/DqfHC3oPz6Hmbs9yrN/IcN5TfrpR3C9GXirECfMQ2f0QVYt+oqOtqDSYwmJoaKjwMwtgI+0GcJ7TnGH0GK0p/gW64fOKhLaNX3dbaGlRn4cq5xPOdLWHQiACZL2BJJTwN28wS0rdvPdurdpL/2rE/msGz+YhTLXsxOOwwkqBNCCCHEiJJQPIZpt15Ce+UW1j/2n4hrHRu3bPf+vjT3STMnkDv/YCzu/tkKjdkQm8dYUha3nRp1oO/pIrhs0+w0Zm1snuCH0Z1YOrnm3mcBGLvgWNY/YRSg9ncMXlZhR5mIZxp1mPv22AU5mc00tmDBmLkw44noM3X2C1itkTMbikkhzlGMRq+eYCUomzvZzE1gDugBHUTWwPv0QLjifn3JJPpyToDSaTXE/+BGaIzMiNlHC2iRyz7D35vVAh8fEtVuyVFZ9ht99mbqLRdiDe6PDC3zCwpPfR9rOWX8lMjfhUl/OJwVl79O98YWmDl4AKEFNHo7fJicVraqd1LDzcRzGIzVl8F612sR701BZQKfUnrve1AxTq/vBjB5Bbjb9ABZGyQAmbAmor5bD1V6UhBT2H66w96F4lWQ0EJ8UgmqyUYyp1Dv+C/tTWvBb2KC+WPWEh202ikkEPCiqjY0zW8EdABrgslxTH59/9zk1aFLjrCgTlGC/82ZYiSpsfhgn2+ZMudpeup8lL95P70t/fpZ/GT/PI/N925iywMNEJxMnzbpE1SsLFsf/QcegKJX4rAzkeXzjZlJxaQQVxhHZ1lH6Oegab1o9KIq1pjPGQ1k+aUQQgghRhyL24kjM3pvW8ua6Bp27kljjBNF4dvr7wX02ZzogC5SKEU+kfXydpbJNviHwZx5B1F8wwLyTjks6lpcbmQA4W3cPTN1ABZSUYhO7BEe0AH0doQVht7/M5Zbs6Lu0dDwUoGLyP1b6fyCYpYzjUESxZzxXOhQURT8zfqH9rZPYwd0AD1bB14eZ0tNitneGzAKT/cVhu+fgRPAlr794uHTHjqeKfcfw5S/Ho3Vo89mbX56OV3V0cXXwy27+FVKL3yVtbe8Tw16vcA23oP4FswelZpHy6l6NDJTas+m4M+oL6ADPW0/6AHdyS/CVffEfsGEyN+XTpZAbTosnw69qj7757fq2UytPYwbf0eob4r9ZP3g631x+KcTS6DdxJL//ZDW5q9YtniA/Y69YfNEC29m+sPzorpMveQW0ubuB7MWwz5fwVn/0guITy8lLiMLmzkLV1YBKYXGnlBboof8Y09hyk+vxV2i//cZSuYDWMyJLD2olEB7jKD38QX44lZjTTVm9vKu1/9f0dPYg3dTNyvP0oPB9U2Xs2TzuOhnjCIS1AkhhBBiRLKnJjH+ilOZedfPKPqJ/uGzr5zApGvPCfUrvHAeE648nexjfxAxU2bdTkAH4AzLaGkfQlAHMP6yUwa8ln5ICY6MFFL3n8a4CyI/8FoT3Uz51YWk/3A2ttREvA07X+9uKBZfcw+ltzwIQNxBXXDivwGN1r6ad0H13E8vLZj7ZdFUUHAwBQuZTJn5EhNm6MWvQwWp+7Q7ycw+HzAKhffnnGUEx+FJVvpzjxsf1ZZ4po91//w3VOdAm4t1jaeh0UNPU/TMZ1+QNhhLgh1bmhNbhitiX+Gq62JnVAVo/mpzKCNlx7qmyFJrSyfj9zZDXTr1t6axOLearX9rHfyZWzJg2VQYXwb7f6EXlT/ppcg+rnbosZDMWQB6YfkNwX17DR6jZhxAXAcVTfpy3E3bbqbJZ9Rp9HZXk4m+BFfFWLrqbdEzU65bfRX+nn5738JV5YLPAp5NLHMnsonLIy6rzgB1udeAzafP6JYsBmcnWPw4ko3lpFansQTTXTARz/j9sdmyiSt0osap2Mc4mPrAsUz+S2TiItsRFXDHTXD2U/Doj8HRjb83cryuacH3ZdJ/nn1LMpu79JnyioaLGa0kqBNCCCHEiBU/NgfVasY9PrJ+lD09ick3/ZgJV56Ooqq4CrJwZKVG9PHMncqOMLv0D/gDJULZ4bEW5TLxqjMp/sUCii49iWm3XkLawbMovv7ciH6JU4wZgbxTDkUxqdiS3eQcfyDuCQV0NzTvtmLk2+PbFjnr5JpjCS2Rq2VhxLXN3AiAiQQGYrNn4nTMQJlWBrfeCjcZs0Jc9iDb4h+nimsHDNjcBxuzKmWnN9D2pTfiejXXU8GJbP5tcHZqbDn86C0Yv4bm+g/pqQ/WWWtJhAYPa5jD2of0PWbhCTYceQO/h4GMuWqOfhBj5q/PlpdXRzZsC5tRvONmPctjmM13tbL4tBf0k4rIBCoAtLr1zI3OYGA6fh2khGV2PPp1mLocuu2kc73eFj48nw3TNv25ZpcLkpto9erZMFu9n9EVKA11Xb38fNIDv2YMz5COUYhcC0QvmVRNTvLG3hDVbvNPAZsXjW7qeYA2jH2JXayImFXMTrkRDn0PjnoDs2r8PMwO/edkT8kg58DjIp7vnp1A94Yuls8rxZ4VWS8w99oCKKyA+a/qwSLg7a0EwJqu/7HAmqWv25zwN31PqDXThs+/OfSM5u43WVydS1n96VHvbaSTPXVCCCGEGHVUsxl7ahKELcMLXz455VcXxCxqHsvEK0+no6oW1Tz0j0XOPH1ZoyNYFiF3/sEx+xVffy7expaIAA/0vXmBbh/+ji4sru3PJg3VttJ1EeeZyZfTxr/oopRWXqeHWkBjGcY+slSuGPSZCgqasxEO/ohU/5VYC7ex+cIk8NrpfiuH7v/OgA8jZ1Dy/5iE+xAb5kQTJrdK9W36h//q3zYz6XV9NrWXdmq5GzYUwIv6h3bGboDEVvDW6ksAW8MC8zeOpvPIn8MS/XfEMRl8dWBOjJ3ddCCNX6+ifUMN+acdzoZ7v4wMmsL4mrroXK/XGkyYnUXLNzVQm05+8p/xUsFW0AO0/npVPZCuM2aN03/iovbv7dCu9y/oWITKKhp4mO4frsf3bCsc/Tpx06z0ejPxttdg6c3Wt4uujwwOe33698qU4scfjM86favw+avQVB9Kkgdtm74nr8dXRbL9DAJ4aeVt8nmYrd4Xo4Y8reRVTCYH1ZX3Ewh0htqd1ul4FWMfbBmHkMXtZPJLqrhSr2t4xFuQv5HNcR0w1gUtiZhUI0BLnjiLXm8XnqlzUM2Ry5p9dcZyXc0foPwGfeY+6+Jc7I5eaAGLlkuPnjOGhtxnyE38LeP/NpmOFe2YHPoy14bAw5iOb8b31n5saY1+f23ez2noeBaPc+ByHSONzNQJIYQQYlSYcOUZJM+aqBefjsGWHB92vOMzMTZPIskzJ2y/427kyPREBXRgLAHdU0sw+2Zh3JPGkDS9CLM1jmKMpBPLyKCGWyPuUdnBZBKuDuoT76TxoPONtuvvhg9/aDwrTqH47XQ8ZzqxZppRHQrpFxk/R8dko7bYZoIzQ7+5zXheYvD7ZPbryww7w5bcbkuCT439fy1layGhmfG/jh1oh6v96Fsav9YTglQ+8xYNXy5n00vvg0uf2ewL3sLVv2mULcg5LzhLvDUDD+djeeM8/Xzmt1H39QVuapy+JHDaN5m49gnOWPr0f5WqPJI4iSJeZ4p5BTxyEZzyMmnjjyEr81IA/N5WEpgfCg5VU+Ty4wnpz4aOyxrOQEMPkDRXA32R6tYter1CFRsT+Yy69a/RVP9GxHNm7PseJpMeBE6Z+TwZ2eeFroXX+OtTw83U8Bu6CNaOnLxKD+5AXzoa30qay1j22KK+TtXMg+k1N1K35QUaao0gsfDuiaHjbw/6H61fGvsmraY8st03khQIWwbd6WDJ5iLMGQG69nuU5q53AKhu+T296WvBZ6Oh+rWoMQN4/Ztito9UEtQJIYQQYlRwFWQy5pyjSZoRvZ8KQDGZyDrmAMb/dOC9bSOdbQ8Hdd6GFsxOB0UXnxCqtddfA/8IHeeFHQ8mDaOshGZvg/zKmP1mrs3GMckS1V6wUJ9d8202goR6Hgxe1J+l3P57vb7Zfl9CZk3k3jEAvwUeDO7rim/VyxbEt2NL2/4MaPUrH1H5zNtUvWIsH6z/rDSUhbLsdx8R8PrZ9H9L8LcHg6OwJbOap0bPCPnacTR8sCFUTy51Xg5xC8oiX2z1JBzefQl0aqRd7MKSbsKaE5ncZsPlTZSdUU/z210omEnj59goIomTsdn10g/rVl9HQq0RQNsd+aHjwokLsZjSmJapB5W9gX5BaXotAI1b36ShVg9yAr3dNNTqe+5c8TMomfs5JXM/DwV0ABZrMmnZp0BuFapDpbnxQ/imJGo2cwu/jf2NVoCEVsrUg+gMBn0V6HtON3MTVZX3sHH9ncbrJVsZ98foP8Ckn56JoihkuC/HbArb89noAQ0qGi9ia9tfqWi8gPp2vSQKGcH6fMHC5eNSHop8Zvylscc8QklQJ4QQQojvjMzD9yW+MHdvD2OX9WXjrHz6Lbq2Nm6n99B5G5tjZv0cxytRbRn8klQu2aHnZvN74zUogzeO3qlxpZzqJPFIO22feOne4GfrP5qNQKEmC9P4RrQF/4Bbfg+nPw9HvENfsTnztK3RD3S1hw6rFn046GsHfMZ+v7qP+s2sxevZNXs7elj640XUv1lO6QWv4G/z0rNNT7pReNMP8Jkqgy+Wx8YHvzHe1yEFFPykRA9Ci4LBnabS9a0exNkL9MDUURQd6LZ95qXiQv13Ipe/MIUyVOKw2fUkIz2+Wjat/0Oo/9iiWwHIzLmIhCR9P6DFFLnvNMRiZJTcuF7fB7lpw59DbYqihwzNXe/S2v1pxK1ev/5e45376A09VjI7/0A60XvukjgVs7cAajIjAr/OjtWsXnEOmzp/EWpr8RqJesIDZvfsyFn4glsKMbmMgN7n7ZeFtcdCm/eT0OmmZn1vaHhQZ1ISsJr0/2/YTPmU5FRF7PMbDSSoE0IIIYQYIcL39a364xPD/nrehmajxl6YROaR2i97YTa37/BzVeLI4nehc0/8GaRdFLmfzPaPhf1vi9D6iZ4kZeVBW9n8+3YoDxbBriygN79fsJVkzDz55y6KXuaoGsk+Gr5cTlMwi2os1a99MuC18DprWq8RaJRe+Kpe1HxyKgkzM/Vi473RezQdeQnYMuOhYCN4ooN2WzCoUyxKaDnm9pjN0Ql+iibdi82eQ8ncz8nKvSDimt1cGNU/L+l2UIz35u2uprHeqJ2Yna/vo6xoPJ91DWeiacGSFN4vWVuvlzlwOIpC/eN8B5DDHyhBI55DQ+2Z/IaEunNgYwFO78GM5yN9T+Gy6dDmor70E/18/Rj83xp/nPH7jZlr1W5i4sN6uYe4iU6SjzBqLPb4mmio+w92R4Hx5toiE6qEpDTqs6lbM5iW+TV2SyFOawn5yX+K3X+Ek6BOCCGEEGIEUizDm8+uraIa37a2Aevz5XE/Y3gaAA8/2ennJ2EkmehiBZ7TwvZ4LZ2O95h7aOARAsSuVee5c31kw8cHkfTvZ2HtRCjYEHltXIVxnLEVznvcOLd6QYHJd54Yatrw5Os0dbxGB//Dh7F3KuDvpf7T6ELWGYfva5woMQpoAx1ljaH6d17KYVbkc/Ivm41qNaGaVczxsfcl2vKNn3ne7YmYklTy7oj8+fR2xn79cHHOgfeI5icZM3Bu20EAWExp5I65JtS+YslpoeNZcz7F6ZqIphlLYVu7PwCgrP7UUJvVmhM69nZXh47H8x52JpLNXTiYjNatz0Jmdf+JeA7CUjU3coDriqA2so5iY91/aax/A79f39PoLI6n5PO5TPq/aSjB8gSaprFssb6E2GL1MH32m/rNnU4IKCTHnUJynPE7MDX7C1S3Bm8djao6UBUbE9MWEW/rN55RQoI6IYQQQogRpGTh1SROGYfW4x/W0gZlf9NT6Sum6OLkfZI5kxI08vv2s+0EO4WkcSUA6VyHY5KFkqocZlVlQYqe/XIjF1HNtdTzIDXcRjtf0EsLZfyIupMOinzgrbex7coD9ON+sy/T3WFBXsZWCtKChboTmiGtHvb9Hz22SjIO3SfUbUPjT1nDHJZj7D1b/4QxO9XHmhRP9jEHULLwarKP+wGk1Q34nm0ZelDXyFPYb1zEhN8bs1SuicaMUuYpxQAknWDH5DZm5KzZxs8i5RQnM5ZlEf8DPVlKymn6XkDfxuhkJInJevKXOOckSuZ+jtkycHkOu7kgdJzq0sttxFmmkZZ+GrgjC5k7nHomza6edVQ1/ybU3hOInmV0u2eFjr1d1RHXJrOaDPSllX0BX9+/pub8iL5sS4569uZND1BZ/jvWl90y4Ptqbvog7EyJ/B74zeQl/pa8RGNZsNWcRWCbBbrsdJZ3DPjc0UKCOiGEEEKIEaZzcz2gp9MfbvGFOdvvtItyuZcSNJI4OdSmoDKBz0Ln9dzPJn7KFm5lLfuzlETaeDc4uNb+j9Qd9SYuDiYJfUbJTAocrmc2nJlUR4r5dGY9dwrEt5O4Tx6c8RxeylHMYR99KwtChz16wQFaVugzfnknG8HY1FsuCh1nHLoPWPxGYfXEbfoSviBzop0uVtBLI92swp6pB3nZZ03FnmkEomlHF1Hy/KmMvc/DjJXZlFTlUFKVg2KOXnJpH6MHw6kLgrOAMQq3j5twJyVzP2fStEdif7/CmFQ9CU2y4wQSHUdRklOF1ZwFQE76LyP6diV8Qn3H46yqPZT6DmP209e7GZ8/srh833LPOOcEvN7NDKTvmrd7M5qm0d0VDMgzawa8p09765KI8x5fI12dG+j1d9BQZ2SxTPb8KKLfGPdDmNR4TKqbkpwqSnKqAFCdehC9esEyfPWxZ4xHiyEFdYqi/ElRlDWKoixTFOXfiqIkBtsLFEXpUhRlafDr72H3lCiKslxRlHJFUf6qKMqOLRgWQgghhPieSCgeA0D3MCVL6e3WP8CmHTwLV0HWsLzGYFzsv2Mdl8yElcVwQb9g5bD3SeAoxvAvZqLPspgvegueOBdV1T+oK4rCzLuuYMzp8wCFVt7BmR/2XhcZS/G8rI+YFU09YDrTf3cZM//ws6gh2dOTwdwLWZvB2aEv9wzOcDly3XSiBx5mMjDH25jxxImkzx96yYy+pZndAxRu31GKojAzq4yC5HuirqV7zjYCaXsXmAJ0+lZG9Wvt/ojlW40lqS7rfsY47TkRyy+93Zvp7qoEoNffgb9H3//Y3b2J7q6NxkPzw477pDREnGqanx5fY2gZ5rLFx7Oq9GyWfv0jWpu/BGBayX/wpOnLMKfP1ssxDBRkTvq/qaHj5fMXE/Btf2nrSDXUmbp3gCmapk0DyoCbwq5VaJo2I/gVvhD7QeASoCj4ddQQxyCEEEII8Z2Se+IhgL7HSwtELsHUegNogeDXLi7P9DbqiSdcBZnb6Tl8pjHwMsYQmw/cbaSOmRdqmvqNhwl8Rjq/QMGMir4scYq6gun2yA/vqtWCqloAjW08T8+kd+HnfzE6BL99Xsrxt+lFtDN+pAcoZqcdNca+xvGXB/eRqRrjf3YqWcfsD/FtTLjjIGxjzFRqC0CDSfwPAJPdzO6YwzAnqpgSVbwbhhbUAaiqA0WJvWczx3OzfqDo3xx/jKWWHb7FoeP8pLsp8jwZOrfZs/F216AF/HR3bWTFklNZufQsWpq/xOvVgz1FsdCy7VNWlZ4FwJii3zJF2UBBobHEk5JvoNCo/WcKJoRZtvh4Sr8+irotz8ccv8VqlDQwWxIwW5LxdsWuOWfPdUScrzp76bAueR5OQwrqNE17W9O0vt+sL4FB5+8VRckE3JqmfaHp37EngBOGMgYhhBBCiO8aRVVRrWbqP13Kt9f9hY6NweWBqzbw7fX38u11+teSG+7bpef31cEbKEnKnmAhlSlUDng9PCW+O1svOp12oQtruh0X+6MQGSiZiNeXYQ6ilj9D/iY4IJiWv1MPCL2Us+zWfwLgzMsY6HZ93K44xl0wj7HnHUf82Byc+RmgwNoHnqb0ukfg2oXw1DlY2P2lNXqbAzQ83bFDyVJ2lcMezI4ZLHPQ0q0vhU1zXUBx+nsRfe3mIjzO01HV8Np1qUCATZUL6eo0Eti0bvsSb7cedLvc0yOeE+eciI0CnC5jRnOGtQFUDWYthgllJHuOiLinqvIv7Ah/TxON9a/T62/fbl/vZi/1L9fu0HNHmt25p+4CILzk/BhFUZYoivKRoigHBtuygfCdk9XBNiGEEEIIESa8Xtqae59h00vvU/7woog+Wm900ow+3qYWFl9zD+0bovcqrX9cTwhiS9l7QR2AjXwm8iXT2Eoxy0Ptkyglm7vI4FdMYwsJh9spfCyFnFt2rXZYMfrexG7WAJA14TwAXM/dj5UxdAeM4MOa6Ip+QD+JU8aRNF1P4R8zMF4yKyro3J2WTqhhcW41i3Or6Vrds/0bdkJ8wmwKJ97N5KL/4rBMCrUnx52AwzKeaZlG3b1Md/TyVItFT3TSULuI9WW/CrUrqiV07oqPDOpsNj2QttqyQv+acKPg0GdrkxsxW2Mnf+kLKG32PKbMfHHA99XdXR2zffobs1HtRkhU9ecNVP8txlLQEW67QZ2iKO8qirIixtf8sD43A34gWKKdLUCepmkzgWuApxVFcUPM3+4B5zgVRblEUZRvFEX5pr6+fmfelxBCCCHEqGZPj8wCWP9Z6U7d37pW/2C69r7nWHzNPSy+JnoPlckeO7X+nuRkPyyk42AK06lnLM8TxzQUFLL5HRYyUBSFhMMcofT1O8vBpIjz+AQ9U2P7imbMW2fQ1RIMfFWFuOy0nXq2NXGAOmjDIO8P0QFk0386d+trKIpCQtL+2K0FJDqOCbXHWWYAYDGlh9rManSmyr5MnK6wbJh2R35olg7Aao38HiuqvhRUVa2Mm/gnJkz+GwA2xob6+DK/Ii3zDOJcxRH3ztj3HfLH3Uzx9Mex2aP3h46bcBeg7+2r3vgAi7/Yn1Wl5xnvIcHCjPf2jbin9l/bT9oy0mw3qNM07XBN06bE+HoFQFGU84DjgLODSyrRNM2raVpj8HgxUAGMR5+ZC1+imQMM+F3TNO2fmqbN1jRtdmpq6q6+RyGEEEKIUafw4h3bobL4mntiFtMOeKNncBq/XsWae58FIC5n54KXPcGMhyRO3X7HXZDD3aFjZ46xUCzw4TS87+rnRZectNPPVVQV1xx7RBZMgEDP0Pe+9ec5wxnVpg08WTtkdrNebiDetn/EvsAiz1O4rPsQbzsw6h5FUUlKOZz2Vr0AvN0xBps9l84OfZbUGT+VlNSjcTjHk5N/BYUT7464PzHpAKw2PXAs5DWc6GUsDRSnOgAAIABJREFUGtWHyC24kklTH456PU/asaiqLeZ7iE/Qy1hUVvye2pqnAOjqXBexHFNRFKa/Pht7vj7rFzch+vs80g01++VRwC+AeZqmdYa1pyqKYgoej0VPiLJe07QtQJuiKHOCWS8XAK8MZQxCCCGEEN9FtuQExl0wj/wzjgDV+ECdf8YRJE4ZF9F3w5OvR93ft28uXOUzb9GxUU9F35dh8/sinWvJ4g4mUYqiKKH6fCputC9KALCl7PzyTj/NtJ/2U/jTDVC8EtWmP7f84UV01TRs5+6do6hKaLYu/gA9iKl9oI3md7t26+v0Mav6HkVFiQyY3PaDmZD2MooSO5ToC8oAMrLPxWbPxufV94WmZ56FopopnvYY6VlnkZA0cCZUGwVM4CN9LBjPHD/5AQAKJy3c7nswmRxYLB60gDeifWXp2RHn5kQLk5+ZQcIBSXSu7cDfunuXtQ63oe6pux+IB97pV7rgIGCZoiilwIvATzRNawpeuwx4GChHn8F7AyGEEEIIESVxyjg8+05m+m1GInHPvpMZd8E8pv/uJxF9G7+JrGnXHSOoC5d24KxBr38XZXITcUwDYPzlpwDQ+VVY8e+kgYt2D6SevxknFz1C0aX6bF/buioqHn9tgLt2XepZLkqqchj/rLGKreL84Sl94bLtR0rcqeQl/m6n7uvxGeMxWxKx2Y2Fejb7zqXTUDCRwgX4qcWPHk7Eu2dQMvdzEhLn7NAzYs3i9fjqqal6JCrbZev/9P9uap/eEnXPSDbU7JeFmqbl9i9doGnaS5qmTdY0bbqmabM0TftP2D3fBJdvjtM07Qqt/3dSCCGEEEJEMDvtMdocuCcZs22VT7+FpmnUfbqUnrYOvA3NJM2cQPENC3BkR25jictNj/nM7xNXQRYJk409WwmHxKGoO7dnz0c1DTyk389xlKBh9xgZOHtaO3bPYAfg2nd490Sqio2C5IXYgsswd1R2nvEHh/j4GZhMcaHznQ3qADrRSyispHg7PWMLr1M3a7+PQ8dbqh9h3aoraW8zkvQU/VV/DVvu6PrvY3dmvxRCCCGEEMMkedZEMn+0X0Rb1pGRMxVdm+upevkD1j/xOr5tbdg9iTgyUph0jbHUbMYdlzPp6rP2yJhHOkuCkemyo61sp+9fTi4+9IQ0hehzGKawYFm1mGPud9xdxj5oBJBa78iZJ7Ha0iiZ+zklcz9HNdlxJ+q/tyaTC5PJsZ27o+WhL7f0s2vlBrLzfgpA8fSnUFQzZktS6Fpb62LWrrg0dB4/w03J53PxHDvy9pwORoI6IYQQQohRYMw5R5N1dOT+I2deBoUXGQlVGv63AoD2imrQNGwefY+YoiiULLyakoVXj4iMlyNFePIP/w9eRMNPC2/t0L3aAAncFUUhLljrzt/eyYYnX6fuk6X4u7qHPuB+LGkm8u7S99h1rYreA9byYTeaf+8HexZLMiVzP2fGvm/v0v0ujN/7ADv/fczIPoeSuZ/jiNNnZifPeHaXxjGSSVAnhBBCCDGKObI8oeP+ZQ/2ZnHx0SBxWrDQ9jV6UfJqrqWco2jl/e3eO9is0aSrziRn/sGh86p/f8D6R/X9dZ2b69F6d1/xcFuOXg5g9TF1Ee2tH3dTfm4DVb8efG/laOHhYgAqWTDkZ5nN8ZTM/ZyMbONZgX6JVEYbCeqEEEIIIUYxa2J8VNKUPhLUDc5dlMesu3/OuBw92UkdfwWggy/QGDzw8mIULPdwUdT1/t/7tvIq2sqrWP3np6h49NWhDt14nXHmqLbe1gAt7+szWvVPDu++vj0lgWMBfR/jjuqp7yXQPfBMZVbupeSP+yUA3u7RlRilv+jfAiGEEEIIMaqYnQ5Um5WA1xfZ7oob4A7RR1FVbBRFtNXwK0Ajk18NeJ+XcgAm8j/iiM4kao8RUJc98CIALas20F3XhD0tunj3zrLlmHHNsdJTbwShSydHloHWNC1iqelolMh8zKRhIWOH+vc09rJs1hYSDrNT+JgnZh9FUbA7CgA9mYojrmA3jXbPk5k6IYQQQojvgL6ALmf+wRRffy5Tb7lo1H+Q31NsjI1qa2bRoPd0Uw6YcDADJcY8iTVl8PII3XXbdmqMg3HOsuGr8g+YLGXrfW277bX2JidzQsH0YJpe6WTZDH3mreW9wffg2YPlFrzdOz4DOBLJTJ0QQgghxHeILSUBR2bsmQkRm4odfa7DmO3S6KGXdpYSD8A4XiGReaHrXsqxko9K7MQzqtnMpGvPBhS8jc2sfyyyZp1v2+4LtKzpKpoPvi3YzNi/R8/+1fypFZNbxV5kZt0ZDSh2BS24LHHSW2nEFY+O5Dk2CmnlHTQ0FAb+g0Xjy507/EyTWU8mVF15L+mZp7Psm3m43DMZO/62IY93T5KZOiGEEEKI74Apvzyf9ENKImqviR2XxMkA5PGPUFv4rFAF8/GjJx3x08Q2nsVH5aDPjMtOIy47lcTJ46KuVf37g90wap052RQ6rr6jBQBrnomJrxpp+atuaabxBT3Y0cL2ma0+si6qAPdIZacQjS6+RSVA7MQm3Rv8tL4fOTs3WLmH8NnsxV/sT09PA9sa39k9A96DJKgTQgghhPgOsHkSyZl3kCy53EV5/IN8HsbDxaRxNV0sYzUzI/p0UUoV11BKX324HctiqZhUxp1/PFlHzWXarReH2pfd+s/dMvak443ab75NvQAU/DkZ58zIGbiml2LPYPXU7r5snMPJRmHo2Mv6mH2aFkW/x56tvYM+NzX95Kg2n3fXauLtLRLUCSGEEEKI7z0zSXi4EAUFG2Ni9injEOq4J3Q+lpd3+PmJUwvJPGIOFrcLs0sPwnpaO2grH/peLsWkkHdnZGIWW76+y2rcQymxbongrfQPeQx7QmRQVxGzjxKMbjznOEmar3+fu7fz/hKSD4hqq9vy/C6Ocu+QoE4IIYQQQogwKpFZQ8fwXMx+iczfpedPvuG80HHZAy+EisYPReo5LpKOM2bsLBn6x/zEoxxMX5YZ0TftAhepP3aSfqkLGD1BnZXc0HGshCmtn3RTc3crlnSV/DuTyL5R3y/n3Tj4+4t3l4SOLRZ9P6rLPXOg7iOSJEoRQgghhBAiTBKn0sjjaPRQyOuYSWIDp0f0GcuLKLs4P2J2OUg/pITaDxcDsPG5d/DsN2XI4279xNhLFr4M15xkIuc3CVTf1oI110TubfqsnubXqP1HOxtv2Eb9U+1kXe0m4TBH1HNHCgUzGdzEVu6MCup6GnpZd1YDAKZ4/edizTShWLcftKqqhZK5nw/PoPcQmakTQgghhBAijAk3E/iYiXyBmSQApoTt4bIyFjeHD+k1cuYdhLPAmEEL+Aff97UjCp/QZ5kKn4zOfpq6wEX8gTbG/MXIjqmYg4GfBp2lPZT/uHHIYxhu2dyBlbHU8zc0jAQoVbc0h467y/UgTjEpqHEqtQ+20/TqjmfEHI0kqBNCCCGEEGI7wpf+TaUCEwlDfmZH5ZbQsW9b65Cf55plo6Qqh4RD7FHXVKvC+KdTce1rG/QZTa924m8O0Px215DHM1x8wQB7MzeioaH5Nba9Zow386r40HFvs54EZsPlTfi2DD1wHqkkqBNCCCGEEGI7FMxYyCaF87bfeQelHTwrdOxtaKazug5/5+DFsne3CS+lRpxvuLyJ0qk1VFzYSOPLHXt0LDvKzZEA1PJHWnmDqluNWbq8OxPJutYIuB3FltDxmhPq9twg9zAJ6oQQQgghhNgB06imgMd22/Ny5x/MtFsvAaDu4yWsXvgvVt71+G57/o5w7WtDGaD2eOXPt+3RseyoMfwrdNzDFuofN4LP1HNcEX0LHzWyf2o9o6Me366QoE4IIYQQQoi9xByvZ9psXbsRAH97J1rvnl0mOGN1NsVvp8e8FvCNvEDIRHBfYGs8LZ+2hNpnbciO6mvJMAqz28aMvPeyu0hQJ4QQQgghxF4Sq1i8b1vbHh2DalWwjYmdFN+3aeSVO1BQmMpGmLyK5jNPA8CSqRqJX8L7qgrTlmTiOrGejsqttPk/RQsMHNxpAQ2td/QFfxLUCSGEEEIIsRdNvOrMiPPuhuYBeg4f1a4w4aVUxj+fStFTntBeu9XHj8x9aGZfbsS5460bB+xr8ZgIjF8GdemUjSmg8tqBl5WumV/H8n23DHh9pJI6dUIIIYQQQuxFzryMiHPvXgjqgIjMmD31+hLQQLvG4txqAKZ8koGtYO+FD0smbSbQHnsWrTXpSXp5ABOumNfVAqNcQ9OLnTS9aJQ4mLE6C5NLn+vqXNqj/7vSR9zkATYbjkAyUyeEEEIIIcReNv6npzL5ph8DUPXyB2x59yvqPy9lzV+f3SvjsaSaUOMilzOuOHBrRKbJPUnTtAEDuj5LiY/Z3s7ntOc/OuB93ev1JabhyzKbXh5dde0kqBNCCCGEEGIviy/MwZ6aFDqvef0zNr34Ph2VW2irqN4rY0o9xxnVVvdI+14YCbS+P0Cph8PfgUcuCJ2Wks5iFBajoKHPNtZwC+RvHPDZffsGl91sBH6JRzl2w6j3HAnqhBBCCCGEGMHK/vbCXnldf0sgZntvZ+z24VT+48aotuJ30+HRC+CId0Jtfow9gD6qAPTgzh2dfMb6w0oAKm9sYDEK/qeO0C88cwY9+7y+G0c//CSoE0IIIYQQYoQouvSkmO3+9q49PBLIvsko4j3+BaNIecs7e7ZAOkD8Afp+v9zbEvCc6STjZ/E4JliYyFekcx3jeDXqni38lsUotPMRAO7jfNiKgEv/Dq8di++JAwEItKiwz1fGjfkb0fAN+3vanRRNGx0pO2fPnq198803e3sYQgghhBBCDKvO6lpWL3w6ok21WZl55+Ux+2u9vWz9YDFpB87AZNu9yT1q7mnFmmnCc4aTxhc7qLx6G3l3JZJ6duyEJMNl9TG1mFNUip5MjXm9ixWsYuqA98exL5P4X+h8McH9ghNXQ0e/97Ixjwnqp7jYf8jj3t0URVmsadrs/u0yUyeEEEIIIcQIYk9PCR3nnXIYAAGvj+pXP2b946/R69VnkXwt7Wxbto6mb9dS8/pnbH33q5jPG4qsq914ztD31iWfGIdiAe+mwYujN/2nk56G3VdAXdM0uiv9g2betDGeOEoo5E1mEf3aykBJ/++5OuI06+NPcahTcTB9SGPe06SkgRBCCCGEECOIajFTstAINja9+B4AtR8uBvRgbsIVp7P8tocASJpeBIC/Y3iXaComBbPHRO0DbST80E78HFtUn8rrm2h8thPFBrPKc+ip78W70Y9rdnTfHeVvChBo0wYN6lSsTMJY1edgKl0sD51n8qv+7wbQoKAy1DLl0wxs+WeQyRm7PNa9RWbqhBBCCCGEGMHyTjk04ryjcgvVr3wUOt9Wug6AQI9/2MfSs0WfBSs7tZ5AV+Q2rq6yHhqf1UsBaF69RMCyWVtYe2I9mn/Xt3z17eGz70SNvDSu0u9hMiVoJHB0xPUsbtMPwrJi2vJH73yXBHVCCCGEEEKMYDZPYlRb3SdLotra19cQ8PvxNjbT2+2jY+OW3T4WU6IRPrR+Epkwxbc5MqgMz1jZuXznE49omoa30s/G67cB7FThcw8XUILGZFbEvJ7JLZSgURKnB6HuH9p3enwjiQR1QgghhBBCjGDhQV3mkXMG7Ofb1sqqPz3JitsfZekv/8aae5+lY+PW3TqWSa+lhY4rLmwkPOli1xo9qEv/iZ54pPUDI+hbM6+erjU99LZHl0PQ/Bq+LcY+uN7WAJqmUfuPdlYcaIzfmjM8M2kz1mRR+EjK9juOYBLUCSGEEEIIMYJZE+NDx/HjcmP28cyZAoC3vjmifc29z+zeseSaIs5rHzTqv22+owWAlJOii5YDrPpRLUsn1US1l87awvJ9t9D2hZeOJT6WTq5h3dkNbL69JaKfalOGOvyYTE4VxTI8z95TJKgTQgghhBBiBFNUlaLLTmbSNWdjS3GH2qf86oLQsT0tecD7/V27r66coioUv5eOY5IFgM13tuLb2kvzm0aSlr5rA2n5IHI8vdv02bvWT7pp/8YLQNsn3og+Rc94hjz277LRuxtQCCGEEEKI7wl3UV7ouOjSk3DmZ2KyW5l843logQD2tGSqX/045r3eumbM+RkA9HZ7Kb3l74w591iSphXu0lgc4y1MeiONbws2A9C1uoeKi/X9c86Zep28meuy2fzHFrKudtO5qoeyU+pD95cvaMAxxULXih4AFJueWGXrfW2knht7li9+7q5nz/w+kOLjQgghhBBCfAe0raui7MEXAZjws9Pwd3RT8X+vknnkXBq/WYWvMXI5Y8GZR5Cyz2QCfj9LbrgPgIlXn0nz8goCXh85JxzCugdfwjN3KskzJ0S93uLcagCseSZ8wdp1M8uyUR3RSxlbP+3GFK+y5ri6XXpvJVU5u3Tfd81Axcdlpk4IIYQQQojvANfYbON4TDYBnz4TtuWtL2L2r3zmbVL2mUx3bVOobePz79G1WQ+8etq7aCuvoq28itY1laTMLia+yNjTN/6FVMpOrQ8FdEDMgA7A/YOdyy5pyTRR/FY6XWt8UaUTRDTZUyeEEEIIIcR3gGJSyZl/MBOuOA0A1Tr43ra43HQAfE2tRlt2auh425K1oePGr1eFZgH79C8+Pvnj9O2Osfj92H0K/pIUcT7tq0zMSSrxc+0kHOrY7nO/7ySoE0IIIYQQ4jsi/eBZETN2sZgcNtwTC+isqqVpyVoqHv0PANZkN41frRz03q3vf0P1a5+EZgH7uA+xYR8zeBAJ4CiyMPkDI7CzjTFT9JSHlJOdTFuSCcC4UV5eYG+QoE4IIYQQQojvqOLrzgXAkZ1G+qGziR+fx5SbL6B1TSUAG558PdRXtWx/Z9bm1z6h9v1vqP9iOQCJRwdn0dQdLwlgL7SQeq6TMX9LZsrHGbgP1pdmWjwmSqpySDxCZuZ2luypE0IIIYQQ4jvKkeWhZOHVUe0FZx1F5dNvRrQpZiM0sKUm4q1vxpGdFtpjFy7g9QGQf1ciHd96yfx5fFSfweTdkbT9TnuYv72LqkUfkn/6j3YowB1JZKZOCCGEEEKI75nkkomY7MaeuJz5B5N5+D7G+byDASi8aD6WBBfWlASyjzswdL2nrRMAJa6XsS9ouGaN/pIDpb/+O03frmHJL+7b20PZaaMrBBVCCCGEEEIMmaIo2DwJdFbrs3Dx43KIy0mjZOH4UJ++GT5nfgaq2Ywl3lgW2by8nLyTD2XD02/SsqKC6b+7DLNz5zJcjiT9y7x112/DnjryZhMHIkGdEEIIIYQQ30M2TyKd1XUU33AujgzPgP3GLjgWgK4tDaG2ntYO2jfU0LKiAgBvYzNmZ8bwDngY9TS3R5z7mlpHVVAnyy+FEEIIIYT4HnJkelBtFmyewYMXRVVRVJW47DSm3XoJlkQXAGvvey7Ux1vfTMDvH/KYtIC2W56zs9bc+wwAGYfpS1C9jc17fAxDIUGdEEIIIYQQ30PpB5dQfO05qGbTDt9jcTuZeOWZUe0b/vUGS264b8gBWfUrH7LkhvvQAnu24HhPawcAyTMnMvbHx5NQPG6Pvv5QSVAnhBBCCCHE95BqNWPzJO70fdbgTF0sS264j6awouU7q+6TpQBsfO5tFl/7l6i9bsPFnpaMyW7DkeUhaVrhoO9xJBpSUKcoyu8URVmmKMpSRVHeVhQlK+zaTYqilCuKslZRlCPD2ksURVkevPZXRVF2vKiFEEIIIYQQYq9zjcsBIPfEQ6Ku1X7wzS49szm4Pw+g8etVoGn0dnTv0rN2RufmOrrrmogvyh321xouQ02U8idN024BUBTlSuDXwE8URSkGzgAmA1nAu4qijNc0rRd4ELgE+BJ4HTgKeGOI4xBCCCGEEELsIWPPPYaW1Rvw7DeFqn9/uMvP0QIa3173lwGvdzc043INbzHyLe9+BUBPe+ewvs5wGtJMnaZprWGnTqBvfnQ+8KymaV5N0zYA5cC+iqJkAm5N077Q9LnUJ4AThjIGIYQQQgghxJ5lcTvx7DcFgEnXnoMjOy10bUf3w3XXNlH2wAuD9tkTCUuaS9cBMO7Hxw37aw2XIZc0UBTldmAB0AL8MNicjT4T16c62NYTPO7fLoQQQgghhBiF4rJTKb72bCoe/Q/Ny8vpqqln+e3/h6+xBYvbSeoPZpB5+L6h/r5tbdR+uJiOjVvo2LR10Gd7G4Y3qNMCgdCxJd45rK81nLY7U6coyruKoqyI8TUfQNO0mzVNywX+BVzRd1uMR2mDtA/02pcoivKNoijf1NfXb//dCCGEEEIIIfaKcecfjyNTr3fna2wB9KySNa9/RsBnZMXc9PL71H2yJGZAl3rAdHJPOITcE3+INck97EGdr7kNIDTu0Wq7QZ2maYdrmjYlxtcr/bo+DZwcPK4Gwnca5gA1wfacGO0DvfY/NU2brWna7NTU1B15P0IIIYQQQoi9JP+MI2K2139eyrp/vEzT0rW0rFw/4P0Zh+1D2kEzSTtwBpYEJ02L14QCr+HQFzTGSvgymgw1+2VR2Ok8YE3w+FXgDEVRbIqijAGKgK80TdsCtCmKMieY9XIB0D84FEIIIYQQQoxCztz0mO3Vr35M69qNbHji9Yh2a7KbkoVXk3/a4VjcTixuo5RAR+UWAJb/9uFhG2/l028B7FJph5FkqHvq7lIUZQIQADYCPwHQNG2loijPA6sAP3B5MPMlwGXAY4ADPeulZL4UQgghhBDiO8I5JgvN38ukq8/C39lN6a8eHLBv4QXzAfDMmYpnztSIa6k/mEH9p3rduvbKLbgKMnfrODs314eKjocHk6PRkII6TdNOHuTa7cDtMdq/AaYM5XWFEEIIIYQQI9PEn50eOjbH2WP2cU8soHVNJdaUhAGfk3fSD0NB3dq/PsuM23+KyWHbbeMMX9apqKO7dPaQll8KIYQQQgghxM4qOOtIZtx5BSabZdB+Y8PKDKy481G03sAgvXdOV42eiHHKry7cbc/cW4Zc0kAIIYQQQgghBmJJcNHT0s602y5BtVrp7erG4orboXuTphkpPPztXaz8w+NM+eX5u2VcNW98DoA1KX63PG9vkqBOCCGEEEIIMWyKrzuH3m5fqA7c9mbn+pt6y0Us/52eLGV3lTgI9BglFvT8jaObLL8UQgghhBBCDBuz04FtkL1z22NNike16nNR9vTkHb6v+tWPWXzNPbSVV0e0+7u6WfKL+wC9hMJ3gQR1QgghhBBCiBGt+Ppzsacl42tuR9O07fb3NjZT++FiAMoeeCHiWvWij0LHrjFZu3ege4ksvxRCCCGEEEKMaLaURFL3n0bVog/xd3QNuCevZdUGyh9eFNVe/vAiUvYppu7TUtorjJk798SC4RryHiVBnRBCCCGEEGLE6ysQ7m1oHjCoixXQgR7stazaENE26+6rRn0pgz6y/FIIIYQQQggx4oUHdTvKs1/s8ti5Jx7ynQnoQII6IYQQQgghxChgTXYDsPW9rwfuFJbJMmW/KWQeOTdmt7QDZ+7Wse1tEtQJIYQQQgghRjzVbAKgu7aJjk1baV5eTk9rR+h6b7cPNA1nXgaO7DTyTzkMa6KLkoVXM+6CeaF+jkzPHh/7cJM9dUIIIYQQQohRZc1fngkdlyy8GtAzXgKk/7CEpOnjI/o78zMAKLzkRBK+I8lRwslMnRBCCCGEEGJUKLz4xKg2LaCXOGiv2AwYe+/CWeKdlCy8+jsZ0IEEdUIIIYQQQohRImFSAXE5aRFtPa3tAFQt+hDQyx9830hQJ4QQQgghhBg1EiaPBSD1gOlAdDZMk926x8e0t8meOiGEEEIIIcSokfmj/UieNRHFpFL/WSnehubQ7F3qD2bs5dHtHRLUCSGEEEIIIUYNRVWxpyahBQIoJpXq/37KxuffBSB+XM5eHt3eIcsvhRBCCCGEEKOOoqpYUxLo7egOtcVKkvJ9IEGdEEIIIYQQYlSyJbkjzz0Je2kke5cEdUIIIYQQQohRSTFFhjMm2/cvSQpIUCeEEEIIIYQYpRSzaW8PYUSQRClCCCGEEEKIUSln3kF64pT0ZGwp38+llyBBnRBCCCGEEGKUsiUnMHbBsXt7GHudLL8UQgghhBBCiFFMgjohhBBCCCGEGMUkqBNCCCGEEEKIUUyCOiGEEEIIIYQYxSSoE0IIIYQQQohRTII6IYQQQgghhBjFJKgTQgghhBBCiFFMgjohhBBCCCGEGMUkqBNCCCGEEEKIUUyCOiGEEEIIIYQYxSSoE0IIIYQQQohRTII6IYQQQgghhBjFJKgT4v/bu7+QPec4juPvj/mbPyHbWptwsAN/ykRrtROWmMicKMqfA6VETSmZEzlzJCmUkMm/VixL+bOGnMifMTEji2FNHpLMyTS+Du4f3T1tM8+u273r3vtVV/d1fa/7evo99enp+nb9ftcjSZIk9ZhNnSRJkiT1mE2dJEmSJPWYTZ0kSZIk9ZhNnSRJkiT1mE2dJEmSJPVYqmrcY9gvSX4Evhn3OPbgFOCncQ9CE8t8aZTMl0bJfGnUzJhG6WDN12lVNXt6sTdN3cEqyQdVdcG4x6HJZL40SuZLo2S+NGpmTKPUt3w5/VKSJEmSesymTpIkSZJ6zKbuwD067gFoopkvjZL50iiZL42aGdMo9SpfrqmTJEmSpB7zSZ0kSZIk9ZhN3QwlWZ7kiyRbk9w17vGoH5I8kWQqyadDtZOTrE/yZfs8aejcqpaxL5JcOlQ/P8kn7dyDSfJ//y46+CQ5NcmbSbYk2ZxkZaubMR2wJEcneS/Jxy1f97a6+VJnksxK8lGSl9ux+VJnkmxr2diU5INWm4iM2dTNQJJZwEPAZcBZwLVJzhrvqNQTTwLLp9XuAjZU1UJgQzumZeoa4Ox2zcMtewCPADcDC9s2/Wfq0LQbuKOqzgSWALe2HJkxdWEXsKyqzgUWAcuTLMF8qVsrgS1Dx+ZLXbuoqhYN/buCiciYTd3MLAZjAW8jAAACoUlEQVS2VtVXVfU78DywYsxjUg9U1dvAz9PKK4DVbX81cNVQ/fmq2lVVXwNbgcVJ5gEnVNU7NVgU+9TQNTqEVdX3VfVh29/J4MZoPmZMHaiB39rhEW0rzJc6kmQBcDnw2FDZfGnUJiJjNnUzMx/4buh4e6tJMzG3qr6HwU05MKfV95az+W1/el36R5LTgfOAdzFj6kibGrcJmALWV5X5UpceAO4E/hyqmS91qYDXk2xMcnOrTUTGDh/3AHpqT/NmfY2oura3nJk/7VOS44AXgNur6td9TPU3Y/pPquoPYFGSE4G1Sc7Zx9fNl/ZbkiuAqaramOTC/blkDzXzpX+ztKp2JJkDrE/y+T6+26uM+aRuZrYDpw4dLwB2jGks6r8f2qN82udUq+8tZ9vb/vS6RJIjGDR0z1TVi61sxtSpqvoFeIvBOhLzpS4sBa5Mso3BspZlSZ7GfKlDVbWjfU4BaxksqZqIjNnUzcz7wMIkZyQ5ksEiynVjHpP6ax1wY9u/EXhpqH5NkqOSnMFgIe57bWrAziRL2tuWbhi6RoewlofHgS1Vdf/QKTOmA5ZkdntCR5JjgIuBzzFf6kBVraqqBVV1OoP7qjeq6jrMlzqS5Ngkx/+9D1wCfMqEZMzplzNQVbuT3Aa8BswCnqiqzWMelnogyXPAhcApSbYD9wD3AWuS3AR8C1wNUFWbk6wBPmPwVsNb29QngFsYvEnzGOCVtklLgeuBT9q6J4C7MWPqxjxgdXv722HAmqp6Ock7mC+Njn+/1JW5DKaNw6AHeraqXk3yPhOQsQxe2iJJkiRJ6iOnX0qSJElSj9nUSZIkSVKP2dRJkiRJUo/Z1EmSJElSj9nUSZIkSVKP2dRJkiRJUo/Z1EmSJElSj9nUSZIkSVKP/QXwgmLpyfpi3gAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig = plt.figure()\n", + "N = 10\n", + "t = [t for t in range(T)]\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_martingale(0.48)\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n", + "fig.savefig(\"martingale_coin48.pdf\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 加倍赌注策略" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "\n", + "def gen_wealth(T):\n", + " Y = []\n", + " y = 1\n", + " for i in range(T):\n", + " c = (-2 * y if y < 0 else 1)\n", + " epsilon = (1 if nprd.uniform() < 0.5 else -1)\n", + " y = y + c * epsilon\n", + " Y.append(y)\n", + " return Y\n", + "\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig = plt.figure()\n", + "N = 20\n", + "T = 300\n", + "t = [t for t in range(T)]\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_wealth(T)\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n", + "fig.savefig(\"martingale_betting.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig = plt.figure()\n", + "T = 80\n", + "N = 1000000\n", + "PATH = [gen_wealth(T) for i in range(N)]\n", + "t = [t for t in range(T)]\n", + "m = [0 for t in range(T)]\n", + "for path in PATH:\n", + " for tt in range(T):\n", + " m[tt] += path[tt]\n", + "m = [mm / N for mm in m]\n", + "plt.plot(t, m)\n", + "fig.savefig(\"martingale_betting_average.pdf\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 停止的上鞅的模拟" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "T = 5000\n", + "x0 = 100\n", + "\n", + "\n", + "def gen_martingale():\n", + " X = []\n", + " x = x0\n", + " for t in range(T):\n", + " if x >= 130:\n", + " x = x\n", + " else:\n", + " x = x + (1 if nprd.uniform() < 0.51 else -1)\n", + " X.append(x)\n", + " return X\n", + "\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "N = 30\n", + "t = [t for t in range(T)]\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_martingale()\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 停止的鞅的模拟\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "x0 = 0\n", + "\n", + "\n", + "def gen_martingale(T):\n", + " X = []\n", + " x = x0\n", + " for t in range(T):\n", + " if x >= 20:\n", + " x = x\n", + " else:\n", + " x = x + (1 if nprd.uniform() > 0.5 else -1)\n", + " X.append(x)\n", + " return X\n", + "\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig = plt.figure()\n", + "N = 20\n", + "T = 500\n", + "t = [t for t in range(T)]\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_martingale(T)\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n", + "fig.savefig(\"martingale_stopped_martingale.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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iIiIiL2c0W1Hc2I3cVC7J9GcMd0REREREXu5wQzfMVoncFOecb0feya5wJ4TYKIQoE0JUCiHuG+P+PCHEXiHEoBDix6fcqxVCHBFCHBRCFIy6HiWE+FQIUTH8lf+bgYiIiIhoCvYPH16+gsVU/Nqk4U4IoQTwOIBNABYAuFYIseCUx/QA7gbw0DjNnC2lXCqlzB117T4An0spswB8PvwzERERERE5qLCuExkxwV5x4Di5jj0zd3kAKqWU1VJKE4DXAGwe/YCUsk1KuR+A2YG+NwN4Yfj7FwBc5sC7REREREQEwGaTKKzr5JJMsivcJQKoH/Vzw/A1e0kAnwghCoUQt426HielbAaA4a/+dxAFEREREXkMq02ix+jIXIVnqNT1oXvAjBUspuL37Al3Yoxr0oE+1kgpl2NoWecPhBDrHXgXQojbhBAFQogCnU7nyKtERERERHap1/fjiid2Y8Ofv4TRbHX3cBxSUMvDy2mIPeGuAUDyqJ+TADTZ24GUsmn4axuALRha5gkArUKIeAAY/to2zvtPSylzpZS5MTEx9nZLRERERGSXT4624KJHd6K4qQed/WYcbuh295Ackl/TgeiQAKRFB7t7KORm9oS7/QCyhBBpQggNgGsAbLWncSFEsBAidOR7ABcAKB6+vRXATcPf3wTgHUcGTkREREQ0HSaLDQ+8V4LbXipEyqxgbLlzNYChsOQtpJTYV6PHyrQoCDHWgjvyJ6rJHpBSWoQQdwH4GIASwD+llEeFEHcM339KCDEbQAGAMAA2IcQ9GKqsGQ1gy/AvNBWAf0kpPxpu+o8AXhdC3ALgOIArnfvRiIiIiIjG1tg1gB+8UoSD9V24aVUKfn7RfASolJgbF4p9NXrc5e4B2qmhcwDN3UbkpbGYCtkR7gBASvkBgA9OufbUqO9bMLRc81Q9AJaM02YHgHPtHikRERERkRN8XtqKH71+CFabxOPXLcdFi+NP3MtLi8JbRQ2wWG1QKe06Etqt8muGzrdjuCPAzkPMiYiIiIi8ndUm8T8fluKWFwqQGBGI9/7f2pOCHTAUkvpNVhxt6nHTKB2TX6NHmFaFuXGh7h4KeQCGOyIiIiLyC394vxT/2F6N61bOwdt3rkbqGAVIRmbARmbEPF1+rR55aVFQKLjfjhjuiIiIiMgP/HNXDf65uwbfWZOKBy9fBK1aOeZzcWFapM4Kwj4vCHdtPUbUtBu4JJNOYLgjIiIiIp/2UXELHni/BBcujMMvLlow6fN5aVHYX6uHzebI0c4zL792ZL/dLDePhDwFwx0RERER+awDxzvxw9cOYElSBB65ehmUdixfzEubhe4BM8rbemdghFO3v0aPII0SCxPC3D0U8hAMd0RERETkk+o6DPjeCwWIC9Pi2ZtyEagZeynmqVZ6yb67fTV6rEiJhNoLqnrSzOCvBCIiIiLyOZ0GE27+v/2wSonnv3MGokMC7H43KTIQ8eFaj95319VvQllrL/JSud+OvsZwR0REREQ+xWi24tYXC9DYNYBnbsxFekyIQ+8LIYb23dXoIaVn7rsrqO2ElDzfjk5m1yHmRERERESe4MW9tXjsi0pkxoRgXnwo5seHYf7sMGTFhUCrVsJmk7j3jUMoqOvEY9cuwxlTnNnKS4vCOwebUNfRP+aRCe6WX6uHRqnAkuQIdw+FPAjDHRERERF5jTcLG6AQQL/Zitfy6zFgtgIAlAqBtOhgRAapsb+2E/+9aR4uWZIw5X5G77vzxHC3r0aPpckR4x7pQP6J4Y6IiIiIvILeYMKRxm7cc242fnheFqw2ieP6fpQ29+BYcw9KW3pR2daHO8/KwG3r06fVV0ZMCKKCNdhXo8dVZyQ76RM4h2HQguLGbnx/Q4a7h0IehuGOiIiIiLzC7sp2SAmsz44G8PVsXVp0ML6xKN6pfQkhkJcahfzaDqe26wxFxzthtUnut6PTsKAKEREREXmFnRU6hGlVWJw0M/vM8tKiUK8fQFPXwIz0Z6/8Gj2UCoHlKZHuHgp5GIY7IiIiIvJ4UkrsrGjH2qxouw4id4aRmbH9tZ51JMK+Gj1yEsIQEsBFeHQyhjsiIiIi8nhVuj40dxuxLitmxvqcHx+G0ACVR513ZzRbcbC+a8pVQMm3MdwRERERkcfbUd4OAFibGT1jfSoVAitSI5HvQeHucEM3TBYb99vRmBjuiIiIiMjj7azQIT06GMlRQTPab15aFCrb+tDeNzij/Y4nv2aowAtn7mgsDHdERERE5NEGLVZ8Va3HuqyZm7UbMXLeXYGH7LvbV6PH3LhQRAZr3D0U8kAMd0RERETk0QprOzFgts7ofrsRixIjEKBSeMS+O4vVhqK6Ti7JpHEx3BERERHRjJFS4r/+fRBbDzXZ/c6OinaolQKrMma5cGRj06gUWD7HM/bdlTT3wGCyMtzRuBjuiIiIiGjG7Kxox5YDjfjjB6UwW212vqPD8jmRCHZT6f+8tCiUNPegx2h2S/8jRgImwx2Nh+GOiIiIiGbMMzuroVEq0NRtxPuHmyd9vr1vEEeberA+e+aXZI5YmRYFKYeWh7rTvho9UmcFIS5M69ZxkOdiuCMiIiKiGVHW0oudFe24+9xMZMaG4Okd1ZBSTvjO7sqhIxDcUUxlxLI5kVApBPLdWFTFZpPYX6vnrB1NiOGOiIiIiGbEszurEahW4oYzU3DrujSUNPdgT1XHhO/sKG9HZJAaCxPCZ2iUpwvUKLE4Kdyt++4q2vrQ1W9GXtrM7zsk78FwR0REREQu19ZrxDsHm3BlbhIigjTYvDQR0SEB+MeO6nHfkVJiZ4UOazKjoVSIGRzt6fLSZuFwQxcGTFa39D9yvt1KztzRBBjuiIiIiMjlXtpbB7PNhu+uSQMAaNVKfGdNKnaU61Da3DPmO+WtfWjrHcR6NxyBcKqVaVEwWyUO1Ltn392+Gj3iw7VIigx0S//kHRjuiIiIiMilBkxWvPxVHc6fH4fU6OAT169fOQeBaiWe3Vkz5ns7ynUAgHXZ7ttvN2JFaiSEgFuWZkopkV8ztN9OCPfOYJJnY7gjIiIiIpd6s6gBnf1m3Lo+/aTrEUEaXH1GMrYeakRLt/G093ZU6JAVG4L4cPfPVoVp1ViSFIF3DjbBYucRDs6yvVyHtt5BrMlwf8glz8ZwR0REREQuY7NJ/HNXDZYkhSM3JfK0+7esTYPVJvH8ntqTrhvNVuTX6LHOA5ZkjrjzrAzUtBvwVlHDjPVpsdrwh/dLkTorCJctS5yxfsk7MdwRERERkct8fqwNNe0GfG9d+phLCpOjgrBpUTxe2VeHvkHLiev7a/UYtNg8YknmiPMXxGHZnAg88lkFjOaZKazy2v56VLT14b5N86FR8Y/uNDH+CiEiIiIil3lmZzUSIwKxKWf2uM/cti4dvUYLXss/fuLazop2aJQKj6oOKYTATy6ci+ZuI17+qs7l/fUazfjbp+XIS4vChQvjXN4feT+GOyIiIiJyicMNXciv0eM7a1KhUo7/x84lyRHIS4vC/+2uhXl4P9uOch1yUyMRpFHN1HDtsjojGmszo/HEtqqTZhpd4YltVegwmPDLixawkArZheGOiIiIiFzi2Z01CAlQ4eozkid99vb16WjsGsAHR5rR1mPEsZZej9pvN9pPLpwLvcGE58ap8ukM9fp+PLerBlcsT8SiJPcd4E7eheGOiIiIyA/9/YsK/PiNQy5rv7FrAO8facY1ZyQjVKue9Pmz58YiIyYYT++oxs6KdgDAuizP2W832pLkCGxcOBvP7KyG3mBySR9//rgMCjEUJInsxXBHRERE5Ide21+PNwsbUN7a65L2n989NKt185pUu55XKARuXZeOo009+PuXlZgVrMGC+DCXjM0Z7r0gG/0mC57cVun0tgvrOvHuoSbcti7dI46BIO/BcEdERETkZxq7BtDQOQAAeGmv8wuD9BrNeC2/HptyZiMpMsju9y5blojokADUtBuwLisaCoXn7jPLigvF5cuS8MLeOjR3DzitXSklfv9+CWJCA3D7hgyntUv+geGOiIiIyM/sr9EDAHISw/B2UQN6jWantv9q/nH0Dlpw67r0yR8eRatW4ubVKQDgsfvtRrvnvCxIKfHo586bvXvvcDMOHO/CTy6Yi+AAzyomQ56P4Y6IiIjIz+yr6UCoVoXfbc6BwWTF20WNTmv7WEsPHv6kHBuyY7AkOcLh929ek4YfnZ+NTYvGPzrBUyRHBeG6vDl4vaAeNe2GabdnNFvxp4+OYX58GL65IskJIyR/w3BHRERE5Gf21eiRlxqF5XMisSQpHC/urYWUctrt9g1acOcrRQgLVOOhK5dMqY2QABXuPjfL445AGM9d52RBo1Tgr5+WT7ut5/fUoqFzAL+4aD6UHrwklTyXd/xbQ0REROSD+gYt2F+rx9lzY2esz7ZeI6p1BlydO3Q8wY2rUnHvG4ewp6oDazKnXp1SSon7txxBbbsBr3zvTMSEBjhryB4tJjQA312bise/rML3N2RgQcLXRWCklKhs68POinbsrNChpt2A5KggZMSEIC06GOkxwUiPCUF8mBb6fhMe/6IS582PndY/B/JvDHdEREREbvLczhr87bNy7LnvHCREzExVxP01nQCAvLQoAMBFi+Pxhw9K8cKe2mmFitf21+Odg0249/xsrMqY5ZSxeovb1mfgpb11eOiTMvzlW4uxq7IdOyvasauiHS09RgBAenQw5seHoaFzAG8WNpx0ALpWrUCoVo1+sxX3bZrvro9BPoDhjoiIiMhNdlcOnedW1to7Y+Euv6YDQRolchKHDsbWqpW4KjcZT++oQmPXABKnMI6Sph78eutRrMuKxg/OznT2kD1eeKAad5yVgT9/VIYVv//sxLW1mdFYmxWNtZnRSI76umqolBK63kFUtxtQrTOgWteHmnYDVmXMQmZsiLs+BvkAhjsiIiIiN+g3WXCgfmgWrbyld8aWZu6r0WNFSiTUyq9LL1y/cg6e3lGFf+2rw08unOdQe71GM37wryJEBqnxt6uXevTxBa70ndVpqNcPIDFCi3VZMchJDB9335wQArFhWsSGaXFmun/NcpJrMdwRERERuUF+jR5m61ARk/LWvhnps6vfhGMtvbh4cfxJ15OjgnDOvDi8ll+Pu8/NQoBKaVd7Ukr899tHUNdhwKu3nonoEP/YZzeWQI0S/3PFIncPg/wcq2USERERucGeqg5olAqsSIlERVvvjPSZP3y+XV7a6bNFN61OQYfBhA+ONNvd3sv7juO9w82494K5WMkZKCK3Y7gjIiIicoPdle1YnhKBxUnhqGjtg802/aMIJpNfo4dGpcDipPDT7q3JiEZ6dDBe2FNnV1vFjd144N0SnDU3Bt/fkOHsoRLRFDDcEREREc2wToMJJc09WJ0Rjey4UAyYrWjoHHB5v/m1eixLjoBWffqyS4VC4IYzU3CwvguHG7ombEfXO4gf/KsIs0I0+OtV/rvPjsjTMNwRERERzbCvqjsgJbAmcxay44aqI5a3unZpZq/RjOLGbqwcPgJhLN9ckYQgjRIv7h179k5KiX/vP45zH96G5m4jHrt2GaKCNa4aMhE5iOGOiIiIaIbtrmpHsEaJxUkRyIoLBQCUu3jfXWFdJ2xy7P12I8ID1bhsWSLePdSEToPppHvVuj5c+8xX+NlbRzBvdhg+uHsdclPHD4pENPPsCndCiI1CiDIhRKUQ4r4x7s8TQuwVQgwKIX486nqyEOJLIUSpEOKoEOKHo+79RgjRKIQ4OPzXN5zzkYiIiIg8257KDqxMnwW1UoEwrRrx4VqUt7g23O2r0UOlEFieEjHhczeuSsGgxYbXC+oBACaLDY99XoGN/7sTJU09+OMVi/DabWfyPDYiDzTpUQhCCCWAxwGcD6ABwH4hxFYpZcmox/QA7gZw2SmvWwDcK6UsEkKEAigUQnw66t2/SSkfmvanICIiIvISzd0DqG434LqVc05cy4oLdflxCPk1eixKCkeQZuI//s2bHYa8tCi89FUdlqdE4v4tR1De2oeLFsfj15csQGyo1qXjJKKps2fmLg9ApZSyWkppAvAagM2jH5BStkkp9wMwn3K9WUpZNPx9L4BSAIlOGTkRERGRF9pT2QEAWJ0RfeLa3OpmM10AACAASURBVLgQVOr6YHVRxcwBkxWHG7qwcoIlmaPdtCoVDZ0DuPKpvegzWvDcTbl4/LrlDHZEHs6eQ8wTAdSP+rkBwEpHOxJCpAJYBmDfqMt3CSFuBFCAoRm+TkfbJSIiIvImu6vaERWswbzZoSeuZcWFwmSxoa7DgPQY5y93PHC8E2arnLCYymgXLIzD+uwYZMaE4N4LshEcYM8fGYnI3eyZuRurtq1D/1tJCBEC4C0A90gpe4YvPwkgA8BSAM0AHh7n3duEEAVCiAKdTudIt0REREQeRUqJPZUdWJUx66TjA7JHiqq4aGnmvho9FAJYkRpp1/NqpQIvfjcPv7pkAYMdkRexJ9w1AEge9XMSgCZ7OxBCqDEU7F6RUr49cl1K2SqltEopbQCewdDyz9NIKZ+WUuZKKXNjYmLs7ZaIiIjI41S3G9DSY8SaUUsyASBruDhJhYuOQ9hX04EFCWEI06pd0j4ReQZ7wt1+AFlCiDQhhAbANQC22tO4EEIAeA5AqZTyr6fcix/14+UAiu0bMhEREZF32lPZDmDofLvRggNUSIoMRJkLwt2gxYoDx7uQl2rffjsi8l6TzrNLKS1CiLsAfAxACeCfUsqjQog7hu8/JYSYjaF9c2EAbEKIewAsALAYwLcBHBFCHBxu8udSyg8A/FkIsRRDSzxrAdzu3I9GRERE5Fl2V3YgMSIQc6KCTruXHReKChcsyzzS0I1Biw15du63IyLvZdci6uEw9sEp154a9X0LhpZrnmoXxt6zBynlt+0fJhEREZF3s9kk9lZ34IIFcRha3HSy7LhQ7KzQwWy1Qa206yhiu+yr0QMAwx2RH3De7xxERERENK6S5h50D5ixJjN6zPvZcSEwWyXqOgxO7XdfjR7ZcSGICtY4tV0i8jwMd0REREQzYPfwfrvVGWPvfRupmFnW4rylmRarDYW1ervPtyMi78ZwR0RERDQDdld1IDM2BLFhYx8EnhETAiGAcicWVTna1AODycolmUR+guGOiIiIyMVMFhv21+ixZpxZOwAI1CiREhWEijbnhbv84f129h5eTkTejeGOiIiIyMUOHO/EgNmK1ePstxuRFReKshbnhbt9NR1Iiw4ed7aQiHwLwx0RERGRi+2p6oBCAGemT7z3LTsuBLUd/Ri0WKfdp80mkV+jR14qZ+2I/AXDHREREZGL7alqx6LEcIQHqid8LjsuFFabRE379CtmHmvpRY/Rwv12RH6E4Y6IiIjIhQyDFhw43oVVGRMvyQRGV8yc/tLMLQcaIASwaoJ9fkTkWxjuiIiIiFwov1YPi01iTebkISs9JhhKhUBF6/SOQ2jqGsALe+twxbIkJEQETqstIvIeDHdERERE0zBgsqKr3zTu/T2V7dAoFchNmXx5ZIBKidRZQdM+DuGRz8oBCfzX+VnTaoeIvIvK3QMgIiIi8lY2m8SV/9iD4sYeRAVrkBYdjPToYKTFBCM9OgQZMcHYVdmB5SkRCNQo7WozOy4Ux6axLLOitRdvFjbg5tVpSIoMmnI7ROR9GO6IiIiIpuiLY20obuzB1bnJUCiAap0B28p1eKOw4aTn7j0/2+42s+JC8dHRFhjNVmjV9gXC0f7ycRmCNCrcdU6mw+8SkXdjuCMiIiKaAiklnthWicSIQPz+8hyolV/vdukxmlHbbkC1zoCm7gFcc8Ycu9vNjguBlEBlWx9yEsMdGlNhXSc+KWnFj87PRlSwxqF3icj7MdwRERERTcG+Gj2Kjnfhgc0LTwp2ABCmVWNxUgQWJ0U43O7c4YqZFW29DoU7KSX+9NExRIcE4Ja1aQ73S0TejwVViIiIyK9ZbRLvHGxEr9Hs0HtPbKtCdIgGV+YmO3U8qdHBUCsFylocq5i5rUyH/Bo97j43E8EB/P/3RP6I4Y6IiIj82vtHmvHD1w7i/i3Fdr9zpKEbO8p1+O7atCnti5uIWqlAWnQwKhyomGmzDc3azYkKcmgJKBH5FoY7IiIi8msv7KmFUiGw9VATPj7aYtc7T26vRGiACjecmeKSMWXHhaK8zf5wt/VQE4619OLeC7KhUfGPd0T+iv/2ExERkd8qbuxGYV0nfnrhXCyID8P9W4onPLMOAKp0ffiwuAU3rk5BmFbtknFlx4WiXj8Aw6Bl0mdNFhse/rQMC+LDcMniBJeMh4i8A8MdERER+a3n99QiUK3ENXlz8JcrF6Or34Tfvlsy4Tv/2F4FjVKB76xxXdGS7LgQAEMVMyfzr311qNcP4Kcb50KhEC4bExF5PoY7IiIi8ksdfYPYeqgJVyxPRHigGgsTwvGDszOx5UAjPi1pHfOdpq4BbDnQiGvOSEZ0SIDLxpY9XDGzfJJ9d32DFjz2RSXOTI/ChuwYl42HiLwDwx0RERH5pX8X1MNkseGm1aknrv3g7EzMmx2K+7ccQXf/6dUzn9lZDSmBW9enu3RsKbOCoVEpUDHJzN2zO6vRYTDhZxvnQQjO2hH5O4Y7IiIi8jsWqw0v763D6oxZJ2bJAECjUuChK5egw2DC7947eXmm3mDCa/n12Lw0EUmRQS4dn1IhkBETgrKW8WfuvjzWhqd3VGPjwtlYNifSpeMhIu/AcEdERER+57PSVjR1G0+atRuRkxiOO8/KwFtFDfji2NfLM5/fXQOjxYrvn+XaWbsRc+NCxjwOwWaTeOSzcnz3hf1ImRWMX1+6YEbGQ0Sej+GOiIiI/M7ze2qRGBGIc+fFjnn/rnMyMTcuFP/99hF0D5jRN2jB83tqccGCOGTGho75jrNlxYWiqdt40uHq3f1mfO/FAjzyWQUuX5aIt7+/GvHhgTMyHiLyfAx3RERE5FeOtfTgq2o9bjgzBSrl2H8UClAp8ZcrF6O9z4Q/vF+Cf+2rQ4/RgjvPypyxcX5dVGVo311pcw8u+fsu7KzQ4YHNC/HwlUsQqHHuAepE5N1U7h4AERER0Ux6cW8dAlQKXHNG8oTPLU6KwB0b0vH4l1UICVBhbWY0liRHzNAovz4OoaK1F8f1Bvz320cQHqjGa7etwooU7rEjotMx3BEREZHf6O43Y0tRIzYvTUBksGbS5+8+NwufHG1FRVsf7jwrYwZG+LXkyCBo1Qo88lkFWnqMyEuLwt+vW4bYUO2MjoOIvAfDHREREfmNNwrrMWC24sZVqXY9H6BS4ukbc7G7sh2rMma5dnCnUCgEsuNCcbihG7esTcN9m+ZBPc4yUiIigOGOiIiI/ITVJvHi3jrkpkQiJzHc7vfSooORFh3swpGN74HNOegeMGM9DygnIjsw3BEREZFf2F7ehuP6fvzkwrnuHordZnKPHxF5P87tExERkV94fk8d4sICsDFntruHQkTkEgx3RERE5POqdH3YUa7D9StTuG+NiHwWf3cjIiIin/fS3jqolQLX5s1x91CIiFyG4Y6IiIh8msliw9tFDdiUE4+Y0AB3D4eIyGUY7oiIiMin7a3uQI/RgkuWJLh7KERELsVwR0RERD7to+JmBGuUWJcV7e6hEBG5FMMdERER+SyrTeKTo604Z34ctGqlu4dDRORSDHdERETks/Jr9OgwmLCJxx8QkR9guCMiIiKf9VFxM7RqBc6aG+PuoRARuRzDHREREfkkm03iw+IWbMiOQZBG5e7hEBG5HMMdERER+aQD9Z1o6x3Eppx4dw+FiGhGMNwRERGRT/rwSAs0SgXOmR/r7qEQEc0IhjsiIiLyOVIOLclcmxWNMK3a3cMhIpoRDHdERETkEer1/TAMWpzSVnFjDxq7BrCRVTKJyI8w3BEREZHbvXOwEec8vA2//E+xU9r7sLgZSoXA+fPjnNIeEZE3YLgjIiIit3puVw1++NpBKITAh8Ut0569G1mSuSp9FiKDNU4aJRGR52O4IyIiIreQUuKPHx7DA++V4MKFcXj2plwMmK34rLR1Wu2Wtfaipt2ATYu4JJOI/AvDHREREc04s9WGH79xGE9tr8J1K+fgietXYE1GNBLCtXjnYNO02v7wSAuEAC5YwHBHRP6F4Y6IiIhm1IDJittfKsRbRQ2457ws/OGyHCgVAgqFwCVLE7CjXAe9wTTl9j8qbsEZqVGICQ1w4qiJiDyfXeFOCLFRCFEmhKgUQtw3xv15Qoi9QohBIcSP7XlXCBElhPhUCFEx/DVy+h+HiIiIPFmnwYTrnv0K28ra8PvLcnDPedkQQpy4v3lJIiw2ifePNE+p/WpdH8pae7GJVTKJyA+pJntACKEE8DiA8wE0ANgvhNgqpSwZ9ZgewN0ALnPg3fsAfC6l/ONw6LsPwM+c8JmIiIjIDZq6BvCj1w9CqRAIDVAjVKtCWODwV60aIVoV/rG9CvWdA3ji+uXYmBN/Whvz40ORHReCrQcb8e0zUxwew4fFLQDAIxCIyC9NGu4A5AGolFJWA4AQ4jUAmwGcCHdSyjYAbUKIixx4dzOAs4afewHANjDcERERea1dle34qlqPxUnh0PUOomfAgl6jGQaT9cQzoVoVXvxuHs5MnzVmG0IIbF6aiL98XIaGzn4kRQY5NIaPiluwbE4E4sMDp/VZiIi8kT3hLhFA/aifGwCstLP9id6Nk1I2A4CUslkIEWtnm0REROSBqnR90CgV2HLnGigVXy+1tFht6Bu0oNdoQXiQGmFa9YTtXLokAX/5uAxbDzXhzrMy7e6/Xt+PI43d+Pk35k35MxAReTN79tyJMa5JO9ufzrtDDQhxmxCiQAhRoNPpHHmViIiIZlBVWx/SooNPCnYAoFIqEBGkQXJU0KTBDgCSo4KwfE4EtjpYNfOj4SWZm8ZY7klE5A/sCXcNAJJH/ZwEwN7fbSd6t1UIEQ8Aw1/bxmpASvm0lDJXSpkbExNjZ7dEREQ006p0BmTEBjulrcuWJeJYSy+OtfTY/c6Hxc1YmBCG5CjHlnISEfkKe8LdfgBZQog0IYQGwDUAttrZ/kTvbgVw0/D3NwF4x/5hExERkScZtFhxXN+PjJgQp7T3jUXxUCqE3bN3Ld1GFB3vYpVMIvJrk4Y7KaUFwF0APgZQCuB1KeVRIcQdQog7AEAIMVsI0QDgRwB+IYRoEEKEjffucNN/BHC+EKICQ9U0/+jsD0dEREQz43hHP6w2icxY54S76JAArM2MxjsHm2CzTb6j452DjQCATYu4JJOI/Jc9BVUgpfwAwAenXHtq1PctGFpyade7w9c7AJzryGCJiIjIM1Xp+gDAaTN3ALB5aQJ+9PohFB3vRG5q1LjPFdZ14uFPyrEuK9qp/RMReRu7DjEnIiIimkhl21C4S4t2zp47ALhg4Wxo1Qq8M8HSzMauAdz+UgHiI7R47NplTuubiMgbMdwREZHfevzLSrx7yLGKjDS2Kp0BCeFaBAfYtSjILiEBKpw3Pw7vH2mG2Wo77X6/yYJbXyjAoNmG527KRUSQxml9ExF5I4Y7IiLySzXtBjz0SRlezT/u7qH4hCpdHzKctN9utM1LE6E3mLCrov2k6zabxL2vH8Kxlh48et0yZMaGOr1vIiJvw3BHRER+6bld1ZASqO/sd/dQvJ6UElVtfS7Z77YhOwbhgeoTBVNGPPJZOT4sbsHPvzEfZ8+NdXq/RETeiOGOiIj8TkffIN4oaIBKIdDcZYRljCV/ZL+WHiMMJqtLZu40KgW+sSgen5S0ot9kAQC8e6gJj35Riatyk3DL2jSn90lE5K0Y7oiIyO+89FUdBi023LQ6FRabREuP0d1D8mpVbQYAQEaM84qpjLZ5aQL6TVZ8WtKKww1d+PEbh3BGaiQeuCwHQgiX9ElE5I0Y7oiIyK8YzVa8uLcO58yLPbGcr6FzwM2j8m4jxyBkuugYgrzUKMwO0+LFvXW49cUCRIcE4KkbViBApXRJf0RE3orhjoiI/MpbRQ3QG0y4bX06kqMCAQD1eu67m44qXR9CA1SICQ1wSfsKhcClSxNQWNeJPqMFz92ci1khrumLiMibMdwREfmI1h4j6joM7h6GR7PaJJ7dWYPFSeFYmRaF+PBACMGZu+kaqZTpyiWSV+UmY05UEB65ZhnmzQ5zWT9ERN6M4Y6IyEf89M3DuOzx3dAbTO4eisf6rLQVNe0G3LouHUIIaFQKxIdpWTFzmipdVClztMzYEOz46dk4f0GcS/shIvJmDHdERD7AapMoqNWjs9+MBz8odfdwPNYzO6qRFBmITTmzT1xLigzizN009BrNaO0ZREasa4qpEBGR/RjuiIh8QHlrLwwmK7LjQvBmYQP2VnW4e0gep7CuEwV1nbhlbRpUyq//85cUFYgG7rmbsmrdSKVM187cERHR5BjuiIh8QGFdJwDgsWuXY05UEO7fcgSDFqubR+VZntlRjTCtClflJp90PSkyCC09RpgsPOtuKkYqZTLcERG5H8MdEZEPKKrrRHRIALLjQvDAZTmobjfgiS+r3D0sj1HbbsDHJS244cwUBAeoTrqXHBkImwSau7k0cyoq2/qgUgikzApy91CIiPwewx0RkQ8oOt6J5XMiIITAhuwYXLokAU9uq0JlW5+7h+YRnttVA7VCgZtXp552LylyKJRw393UVOn6kDIrCGol/0hBRORu/J2YiMjLtfcNorajHytSIk9c+8XF86FVK3D/liOQUrpxdO6nN5jwRmE9LluWgNgw7Wn3/fGsux6j2WltVekMXJJJROQhGO6IiLxc0fB+u9HhLjZUi/s2zce+Gj3eLGxw19A8wkt762A023DruvQx788O00KpEH4zc/eP7VVY9rtPnRJmzVYb6joMyIhluCMi8gQMd0REXq7oeBfUSoGcxPCTrl9zRjJyUyLx4Aelfnv2ndFsxYt7a3HOvFhkxYWO+YxKqUBChH+cdbezQoc/fXQMVps8UYRnOur1/TBbJWfuiIg8BMMdEZGXK6rrxMKEcGjVypOuKxQCD16xCL1GC/7wvn+effefA43oMJjGnbUbkRQR5PPLMuv1/bj71QPIjA2BVq3Akcbuabc5sqczkzN3REQegeGOiMiLmSw2HGroOmlJ5mjZcaG4fUM63ipqwJ6q9hkenft9fLQFqbOCcGZ61ITPJUcF+vSyTKPZiu+/UgiLVeIf387FgvgwHGmYfrirGj7jLj2GB5gTEXkChjsiIi9W0tyDQYtt3HAHAP/vnCzMiQrCL7YUw2j2n7PvjGYr9lZ34Ky5sRBCTPhsUmQQ2noHffLvj5QS928pRnFjD/529VKkRQdjcVIEipu6YbVNr9hOla4PsaEBCNOqnTRaIiKaDoY7IiIvNlYxlVNp1Ur84fKhs+8e+rhspobmdvtr9TCabdiQHTPpsyMVMxu7fG/27uWv6vBWUQPuPjcL5y2IAwAsSgxHv8mKat30jsqo0vVxvx0RkQdhuCMi8mKFxzuRGBGIuDFK/I+2LisGN65KwbO7avCfA40zNDr32l6mg0alwMpJlmQCX59152v77grr9PjtuyU4e24M7jk368T1RUlDxXems+9OSonKtj7utyMi8iAMd0REXqyorhPLJ5i1G+2XFy9AXloUfvbWYafst/J028t1WJkWhSCNatJnk33wIPO2HiO+/3IREiMD8cjVy6BQfL00NSMmBIFqJQ5P49eBrm8QvUYLMrjfjojIYzDcERF5qaauATR3G7FiToRdz6uVCjxx/XLMCtbg9pcK0N436OIRuk9j1wAq2vrsWpIJALGhAdAoFT5zHILJYsOdrxSh12jBUzesQHjQyXvilAqBnMSwac3cVbUNFVPhGXdERJ6D4Y6IyEsVHR/Zbzf5ssMR0SEBePrGXOj7Tbjz5SKYLDZXDc+tdpTrAMDucKdQCCRG+k7FzAc/KEVBXSf++M1FmB8fNuYzixIjcLSpGxbr1H4NVA3v1+OeOyIiz8FwR0TkpQrrOqFVKzAvfuzDuceTkxiOP31zMfJr9fjde0ddNDr32l6mQ0K41qH9YEmRgWjwgT13Rxq68fyeWty8OhWblyaO+9yipDAYzbYTxxk4qkrXhyCNEvHhE+/3JCKimcNwR0TkpYrqOrEkKQJqpeO/lW9emojb16fj5a+O49X84y4YnfuYrTbsrmzH+uyYSY9AGC0pMsgnZu4e/aICYVoVfnRB9oTPLUocWs57uKFrSv1Utg1VynTk7zEREbkWwx0RkRcymq042tQz4REIk/npxnlYnx2DX71TjIJavRNH514H67vQO2ixe0nmiKTIQHQYTDAMWlw0Mtc72tSNT0taccva9EnPnkuPDkawRjnlfXfVOgOLqRAReRiGOyIiL3S4oRsWm8TyOVMPd0qFwGPXLENiRCDueLkIzd3eP2sFDC3JVCoEVmdGO/RectRQxUxvPuvu0c8rEKpV4eY1qZM+q1AI5CSGT6liZr/JgsauAe63IyLyMAx3REReqHD48HJ7j0EYT3iQGk/fmIsBkwV3vFSIQYvVGcNzq+3lOiyfE4HwwIlnrk6VFDl0kLm3nnVX2tyDj4+24jtr0uz+7IsSw1Ha3AOzg0VVqnWslElE5IkY7oiIvFDR8U6kRwcjKlgz7bay40Lx8FVLcaihG3//otIJo3Of9r5BHGnsdnhJJuD9Z9099kUFQgJUuGVNmt3vLEoKx6DFhorWPof6YqVMIiLPxHBHRORlpJQOHV5uj405s3HF8kQ8ua0KJU09Tmt3pu2sGDkCIdbhd6NDNNCqFV45c1fW0osPjrTg5tWpp51pN5HFSUNFVY40OlZUpaqtDwoBpEYHOfQeERG5FsMdEZGXqevoR4fBNK39dmP55UULEBGkxk/fOjTls8/cbXuZDrOCNViYMPbZbhMRQnhtxczHvqhAsEaJW9baP2sHAClRQQgNUDm8765KZ8CcqCAEqJQOvUdERK7FcEdE5GW+PrzcueEuMliD323OQXFjD57ZWePUtmeCzSaxo2LoCASFYmrl+ZMiA1Hf6V0zdxWtvXj/SDNuXJ2KSAeX6Y4UVSl2sGJmla6PSzKJiDwQwx0RkZcprOtEaIAKWS4oZrEpZzYuXBiHv31WjmqdY/uw3K24qRt6g2lK++1GJHvhzN3fv6xEoFqJW9elT+n9xUnhKG3uhcli32yt1SZR3W5gMRUiIg/EcEdE5GUK6zqxLCVyyrNTExFC4IHNOdCqFLjvrSOw2aTT+3CV7WU6CAGsy3LsCITRkiID0T1gRo/R7MSROa6yrQ8/ev0gjrVMvP+xSteHdw814durUqZcXGdRUjhMVhvKW3vter6hsx8mi41n3BEReSCGOyIiL9JrNKOstRfL50S4rI/YMC1+cfEC5Nfq8cq+Opf142zby3XISQjHrJCAKbcxctZdg969s3cv7q3F20WNuPjRXXjo4zIYzWMfUfH3LyoRoJr6rB0wdBwCALv33Y1UyszkzB0RkcdhuCMickCv0YxvPbkHe6ra3dL/ofpuSOn8/XanunJFEtZlReOPHx7zikO9uwfMOFDfNa0lmcCos+7cuO9OSonPS9uwJnMWLl2agL9/WYlN/7vztF9zNe0GvHOwETecOQfR0wi0c6KCEKZV4Yid++6q2obOuEuPZrgjIvI0DHdERA7YXq5DQV0n/vvtI+POprhSYV0nhACWJrtu5g4YWp754OWLIAHcv+UIpPTs5Zl7KtthtUlsmDu9cOcJZ92VtfaisWsAly5JwF+vWoqXb1kJq03iumf24SdvHEKnwQRgaNZOrVTg1vVTn7UDhv5ZL06KsPs4hCpdH2YFaxwu3kJERK7HcEdE5IAvjrVBo1KgrqMfT++onvH+C493Ym5cKEK19p9lNlXJUUH4yYVzsa1Mhy0HGl3e33RsL9chVKvCsmmG3oggNYI1Sreedfd5aRsA4Oy5Q2f1rc2Kxsf3rMf3z8rA2wcacd5ft+PZndX4z8FGXL8yBbGh2mn3uSgpHGUtvXb9D4vKNlbKJCLyVAx3RER2stoktpXp8I2c2bhocTwe/7JyRkOAzSZx4LhzDy+fzI2rUrEiJRK/e68Eut7BGevXEVJKbC/XYW1mNFTK6f1nTQiB5Cj3Vsz8vLQVi5PCERv2dWgL1Cjxs43z8O5da5EUGYjfv18KpULgjg3Tm7UbsSgxHGarRFnLxEVVTBYbKtr6kBHLYipERJ6I4Y6IyE6HGrqgN5hw9rxY/PKiBVAqBH777tEZ679S14deowUrnHx4+USUCoE/fXMR+get+M3Wmfusjqho60Nzt3Ha++1GJEUGosFNe+7a+wZxoL4L586LG/P+goQwvH3nGjx4+SI8dOWSkwLgdIwUVZls392zu6rRPWDGxpx4p/RLRETOxXBHRGSnL4+1QSGADdkxmB2uxT3nZeGz0jZ8VtI6I/3vrhwqqJGbOnPhDgAyY0Pxw/Oy8P6RZnxU3DKjfdtje5kOALDeaeEuCPX6frfsM9xWpoOUwLnzY8d9RqkQuG7lHFy6JMFp/SZFBiIySI0jE1TMbOwawGOfV+LChXFOC9JERORcDHdERHb64lgbVqREIiJoqJDEd9akISs2BL997+iMFFfZcqARCxPCkDJr5pfE3bY+HfPjw/DLd4rR3e/eM+BOtb1ch+y4ECREBDqlvaTIQBhMVnS54XN+XtqKuLAALEwIm9F+hRDISQzH4Qlm7h54twQSEr+8eMEMjoyIiBzBcEdEZIfWHiOONvXg7Hlfz6iolQr8bnMO6vUDeGJblUv7r2jtxeGGblyxPMml/YxHrVTgL99aDL3BhD98UOKWMYyl32RBfo3eqTNJI2fdzfRxCCaLDTvKdThnXhyEcP4B9ZNZnBSO8taxi6psK2vDR0db8P/OyULScEVRIiLyPAx3RER2+PLYUAXDU/dCrcqYhc1LE/DU9irUthsmbMNmk3j/cPOUzsh7+0AjlArh1KV4jspJDMdt69PxekEDdlW455y/Ux2s74LJasPqzGintTly1t1MF1XZV9MBg8mK8yZYkulKixIjYLVJ/P/27ju8rurM+/53HfXebUmWbcm2XOTeAduADYSSEAcCCTUkBAgDcuwT3AAAIABJREFUhCRP5smQzDMzSSaTyTuTTNoQMpSEkEILhJIhodgmweBecJFcVSxZvfdydNb7h44cWZZtyTpNOr/Pdfmyzt7r7H0ftC+h22ut+y6oaD7teJezb7/ltNQY7lmT45fYRERkeJTciYgMw8ZD1UxKjGLmxDNLwH/jujmEhzj45usHz7pPa1dJPTf87H0e/N1uHvrdnhEt4+x1Wf6w+ySXz0wjLe7Cm1V7wpeuyGVaagyPvLyP9m6nX2MByC/vS0TmZSZ47Jr9M1O+boewoaCaiFAHl0z3XKI6Eguyhi6q8vhfCimua+db6+cSERrij9BERGSYlNyJiJxHl7OXzcdqWTs7bcjlchPj+4qrvHu4hrcGFVcpb+zg4Wf38MnHtlDR1MkXLptGfVs3L+0uG/b9txyvo7K5029LMgeKDAvhe59cQFlDB//55mF/h0N+RTMT4iI8mvQmRIURHxnq05k7ay0bDlWxekYqUeH+SaAyEiJJiQln34CiKqX17fz3pmN8dH4Ga3JVREVEJNANK7kzxlxjjDlsjDlmjHlkiPPGGPMT9/l9xpgl7uOzjDF7B/xpNsZ82X3um8aYkwPOXefZjyYi4hnbCutp7+5l3eyzL5f77CXZzE6P49uv59PR3UtHdy8/fPsI637wLm8erOSL62aw6e8v55FrZjNvUjxPbS7C5RpeNcaXd5cRFxl6zgqKvrQiJ5nPXDyVpz8oZldJg19jKahoYU6G54uPTE6O9umeu2PVrZTWd7DOj99jYwzzsxJOq5j57T/mE+Iw/L+PzfFbXCIiMnznTe6MMSHAo8C1QB5wqzFmcKmsa4Fc95/7gMcArLWHrbWLrLWLgKVAO/CHAe/7Yf95a+0bo/40IiJesPFQ33K5i6edfblcqLu4ysnGDh5+bg/rfvAuP95wlCvmTGTDVy/jqx+ZRUxEKMYY7l0zjcKaNjYdrj7vvVu7nPzpQCUfW5BJZFjgLIn72jWzyYiP5B9e2keX0/uVQofS7XRxrLqFPC9Uluzrdee7mbsNZ9nT6WsLJiVwtLqFju5eNh6q4u38Kh6+IpeMBM9UIhUREe8azszdCuCYtbbQWtsNPAesHzRmPfCM7bMVSDTGDO5wegVw3FpbMuqoRUR8xFrLpsPVXDI95bzL5VbkJHPj4km8nV9FamwEL95/MY/etuSM6oLXzc8gIyGSJ94rPO/9/3ygko6eXm5aOmlUn8PTYiNC+e6N8zlW3cqjG4/5JYaj1S309FryvDFzlxRNWYPvet1tKKhibmY86QmeaUp+oeZnJeKysPtEA//y2kFmTIjl7lUqoiIiMlYMJ7mbBJQOeF3mPjbSMbcAzw469pB7GecvjDG+7corIjIMhbVtlNS1n3NJ5kDfuWEev/78Cl59cBXLs5OHHBMW4uCzl2SztbCeA+foKwZ9SzKnpkSzZErg/Yi8fNYEblwyiZ+9e/xUYRNfKqhoAfDKssyspCg6e1zUtnZ7/NqDNbR1s6ukgSuG+Yx50/xJfUVVvvGH/ZTWd/Dtj88lPFTb80VExorh/MQeqtnO4H/KPOcYY0w48HHgxQHnHwOmA4uACuAHQ97cmPuMMTuNMTtramqGEa6IiOf0t0BYO8xfvKPDQ1mTm4bDce4+ZbesmEJMeAhPnmP27mRjB1sK67hxcZZf+p4Nxz99NI/E6DD+4aV9OHtdPr13fnkzkWEOclI939Tdl73u3j1SjcvCFXP8uyQTYGJ8X3Gakrp2rl+Y6dEWEyIi4n3DSe7KgMkDXmcB5SMccy2w21p7qoyctbbKWttrrXUBT9C3/PMM1trHrbXLrLXL0tJUqUtEfGvjoWpmToz1eOPmhKgwPr18Cn/cV0FF09B7u17ZcxJr4cYlgbUkc6CkmHC+9fF57D/ZxBPvFfn03vkVTcxOjyfkPIn0hej/fvti392GgmrS4iJOzZr5kzGGRZMTiQkP4R+vUxEVEZGxZjjJ3Q4g1xiT456BuwV4bdCY14DPuKtmXgQ0WWsrBpy/lUFLMgftybsBODDi6EVEvKils4ftRfXDnrUbqc+tysZlLU9/UHzGOWstL+0uY0VO8qlZpEB13fx0rp2Xzg/fPsKRqhaf3NNa67VKmfC3Rube7nXX0+viL0dqWDdrwnlne33lmx+fy4v3X+L3/X8iIjJy503urLVO4CHgTaAAeMFae9AYc78x5n73sDeAQuAYfbNwD/S/3xgTDVwFvDzo0v9hjNlvjNkHrAW+MtoPIyLiSe8drcXpsl6rYDg5OZpr52Xwu20naO06vSH43tJGCmva+GQAz9r1M8bwr5+YR2xkKF994UN6fLA8s7ypk6aOHq9UygSIiQglOSbc6zN3O4rrael0+rUFwmCTEqO89t9VRES8a1i7pK21b1hrZ1prp1tr/8197OfW2p+7v7bW2gfd5+dba3cOeG+7tTbFWts06Jp3uscusNZ+fNBMn4iI3208VE1CVBhLpiR67R73rMmhpdPJCztKTzv+8u6TRIQ6uHb+4MLDgSk1NoJ/+0Tf8syfbTru9fv1F3DxRqXMfpOToijz8p67DQXVhIc6WK29bSIi4gEqgSUiMgSXy/Lu4WounZlGaIj3flQunpLE0qlJ/OL9InrdTc27nL28vq+cj8xNJz4yzGv39rRr52ewflEmP9149LxVQEeroKIZY2B2epzX7pGVFO31mbuNh6q5eFoKMRGhXr2PiIgEByV3IiJD2H+yidrWbtbN9n4hp3vX5FDW0MGbBysB2HSohsb2njGxJHOwb318Lskx4fz9ix96tbl5fnkz2SkxXk2KspKjONnQgcvlnV53x2taKapt48oAWpIpIiJjm5I7EZEhbDxUjTFw2Uzv/+J9VV46U1OiT7VFeGl3GWlxEWNyqV5idDjf++R8DlW28JMNR712n/yKZq8uyYS+mbvuXhfVLV1euf7GgpG12RARETkfJXciIkPYdLiaxZMTSY4J9/q9QhyGu1flsPtEI+/kV7HpUDWfWJTp1eWg3rRu9kRuXprFY+8eZ8+JBo9fv6WzhxP17czJ8N6STOjbcwfe63X3TkEVs9PjPN5mQ0REgtfY/M1BRMSLqls62VfWxDofzqjctDSL+MhQvvL8Xpwuy41Lsnx2b2/4p+vzSI+P5Ksvfkhnj2eXZx6q7Gu34O2Kjv0tKE7UeT65a+roYWdJg0+fMRERGf+U3ImIDPLu4RrAt8vlYiJCuf2iqbR0OcnLiPda/zZfiY8M4z9uWkhhTRvff/OwR6/9t0qZ3m36PTkpGoeBkro2j1/7r0dq6HVZrpjjnTYbIiISnJTciYgMsqGgivT4SK/v6Rrss5dkExsRym0rp/j0vt6yOjeVOy6awlPvF7G9qN5j1y2oaCYpOoyJ8REeu+ZQwkMdTEqKosgLM3cbD1WTHBPOosnea7MhIiLBR8mdiMgAZQ3tbCio5rr5GRhjfHrvifGRbP/HK7h9nCR3AF+/dg6Tk6L5+xc/pKm9xyPXzK9oJi8z3iffn+yUGIprPTtz1+tus3HZzDRCHL59xkREZHxTciciMsDjfy3EmL7m4v4QHR7q86TSm2IiQvn+zQupaOpg/aObOVbdMqrrOXtdHKps8dmsak5qX3JnrefaIewtbaShvUdVMkVExOOU3ImIuFW3dPLcjlJuXJxFZmKUv8MZN1bkJPPcfRfR2tXLJx79gHfyqy74WkW1bXQ7XT7bk5idEkNLl5O6tm6PXXPToWpCHIbLcr3fQ1FERIKLkjsREben3ivC2evi7y6f7u9Qxp2lU5N57aFV5KTGcO+vd/LopmMXNBuWX+EupuLlSpn9clJjADy6NHPjoWqWTkkiITrMY9cUEREBJXciIgA0tnfzm60lfGxBJtnuX+jFszITo3jx/ov5+MJM/vPNwzz07B7au50jukZ+eTPhIQ6mp8V6KcrT9T8LRR5K7iqbOsmvaNaSTBER8QoldyIiwC/fL6atu5cH187wdyjjWmRYCD/69CK+fu1s3thfwU2PbaFsBE3C8yuayZ0YS5iPGrxnJUUR4jAUe6gdwqbD1QDqbyciIl6h5E5Egl5rl5OnPyjmqryJzEqP83c4454xhi9cNp1ffHY5pQ3trP/v94fVKsFaS355s09bVISFOJicFEVxrWfaIWw8VM2kxChmTvTNzKOIiAQXJXciEvR+s7WEpo4eHtKsnU+tnTWBVx5cRUJ0GHc/vYP68xQtqWnpoq6t22f77fplp8Z4ZFlml7OX94/VsnZ22riqiCoiIoFDyZ2IBLXOnl6efK+INbmpLFRDaZ+bnhbL43cupa3byeN/LTzn2P5iKr6qlNkvOyWG4rrRt0PYVlhPe3evlmSKiIjXKLkTkaD2/I5Salu7tNfOj2ZMiGP9wkx+9UExNS1dZx3nr+QuJzWG9u5eqs8R23BsPFRNRKiDi6eleigyERGR0ym5E5Gg1e108T9/Oc7SqUmszEn2dzhB7UtXzqS718XP/3L8rGPyy5vJSooiIcq3LQQ8UTHTWsvGQ9VcMj2FqPAQT4UmIiJyGiV3IhK0XtlzkvKmTh5aO0N7oPwsJzWGGxZP4jdbS6hq7hxyTEFFs89n7QCmeaDX3fGaNk7Ut7NuzkRPhSUiInIGJXciEpR6XZbH/nKcuZnxXD4rzd/hCPDwulx6XZafbTp2xrn2bieFtW0+rZTZLzMxivAQB0WjaIew6ZBaIIiIiPcpuRORoPS/+ysoqm3jQc3aBYwpKdHcvCyLZ7eXcrKx47RzhytbsBafV8oECHEYJidHjWrmbuOhamZNjGNSYpQHIxMRETmdkjsRCTou9+zQ9LQYrpmb7u9wZICH1uVisTw6aPauoKIFwC8zd9C3bPRCe901d/awo7ietZq1ExERL1NyJyJBZ9Phag5VtvDA5TNwODRrF0gmJUZxy/IpvLCjlNL6vyVT+RVNxEWEkpXkn5mv/nYILtfI2yFsPlqL02W1JFNERLxOyZ2IBJ03D1aSGB3Gxxdl+jsUGcKDa/uS7p9uPHrqWH55M3My4/22hDY7NYYup4vKsxR7OZeNh6pJiApjyRT1URQREe9SciciQWdHcQPLpiYTFqIfgYEoPSGS21dO4aXdJymu7ZstO1TZ4rclmdC3LBNGXjHT5bK8e7iaS2emEarnTUREvEz/pxGRoFLd0klRbRvLs5P8HYqcw99dPp2wEMOPNxylpL6d9u5evyZ3p3rdjbBi5v6TTdS2drNutiqyioiI94X6OwAREV/aVdwAwHI1LQ9oE+Ii+czF2Tz5XuGpWTN/VMrslxEfSUSoY8QzdxsPVWMMXDZT++1ERMT7NHMnIkFle3E9kWEO5mUm+DsUOY8vXDqNyLAQfrLhKCEOw4wJsX6LxeEwTE2JpmiEFTM3Ha5m8eREkmPCvRSZiIjI3yi5E5GgsqO4nkWTEwkP1Y+/QJcSG8FnL8nG6bLMSIslMizEr/H0V8wcrurmTvaVNalKpoiI+Ix+uxGRoNHa5SS/vJkV2VqSOVbcd+k04iJCWZDl/5nWnNQYTtS10zvMdgjvHq4BUH87ERHxGe25E5GgsbukAZeFZUruxozE6HD++PBqEqLC/B0K2akxdPe6KG/sYHJy9HnHbzxUTXp8pF8LwYiISHDRzJ2IBI2dxfU4DCyZqkqZY8nUlBgSo/2/Zy07xd0OYRhLM7udLjYfq2Xt7DS/9eYTEZHgo+RORILG9uJ65mYmEBuhRQsyciPpdberpIHWLieXz9KSTBER8R0ldyISFLqdLvacaGSZ+tvJBZoYH0FUWMiwKma+e7iasBDDqhmpPohMRESkj5I7EQkKB8qb6HK6VExFLpgxfe0QhrMsc9PhalbkJGuWWEREfErJnYgEhR1F9YCKqcjo5KTGnHdZZllDO0eqWlmrJZkiIuJjSu5EJCjsKG4gJzWGtLgIf4ciY1hOagwn6ttx9rrOOqa/BYL224mIiK8puRORcc/lsuwsqWe59tvJKGWnxuB0WU42dpx1zLuHa8hKimJ6WowPIxMREVFyJyJB4FhNK43tPVqSKaPWXzGz6CxLM7ucvbx/rJa1syaoBYKIiPickjsRGfd2FPftt1MxFRmt/l53Z0vuthfV09HTy9rZab4MS0REBFByJyJBYEdRPWlxEUxNifZ3KDLGpcaGExsRetaiKpsO1RAe6uDiaWqBICIivqfkTkTGvR3FDSzPTtIyORk1YwzZqdEU1Q3d6+7dw9VcPC2FqPAQH0cmIiKi5E5Exrnyxg5ONnawXEsyxUOyU4Zuh1BS10ZhbRuXz9KSTBER8Q8ldyIyrvXvt1NyJ56SkxpDWUM73c7T2yH0t0BQfzsREfEXJXciMq7tKK4nNiKUORnx/g5FxonslBhcFkobTl+auelwNTmpMWSnqgWCiIj4h5I7ERnXdhQ1sGRqEiEO7bcTz+hP3gYuzezo7mXL8TotyRQREb9Scici41ZTew+Hq1pYPlXNy8Vzhup1t7Wwji6nS0syRUTEr5TciUhAqmnpYldJ/aiusdP9/uU52m8nnpMUHUZ8ZCjFdX9L7t49XE1UWAgr9KyJiIgfKbkTkYD0728UcOvj22jrcl7wNbYX1xMWYlg0OdGDkUmwM8aQkxpDcW3fnjtrLZsO13DJ9BQiw9QCQURE/GdYyZ0x5hpjzGFjzDFjzCNDnDfGmJ+4z+8zxiwZcK7YGLPfGLPXGLNzwPFkY8zbxpij7r+1bkpEAOjpdfFOQRXdvS62F1347N3O4gbmT0rQL9zicdmpMaeWZRbWtnGivp3LZ2tJpoiI+Nd5kztjTAjwKHAtkAfcaozJGzTsWiDX/ec+4LFB59daaxdZa5cNOPYIsMFamwtscL8WEWFbYT3NnX0zdu8drb2ga3T29LKvrFFLMsUrslNiKG/qoLOnl02HqgG4fKaKqYiIiH8NZ+ZuBXDMWltore0GngPWDxqzHnjG9tkKJBpjMs5z3fXAr9xf/wr4xAjiFpFx7M2DlUSFhbA8O4nNx2ou6Bp7Sxvp6bUsn6rkTjwvJzUGa6G0vp2/HKkhd0Isk5Oj/R2WiIgEueEkd5OA0gGvy9zHhjvGAm8ZY3YZY+4bMGaitbYCwP231rOICC6X5a38Si6bmcaVcyZypKqVqubOEV9np7t5+bJsrfgWz+tvh5Bf0cy2wnq1QBARkYAwnORuqOZQdgRjVllrl9C3dPNBY8ylI4gPY8x9xpidxpidNTUX9i/4IjJ2fFjWSFVzF1fPm8jq3FQANl/A0sztxQ3MmhhHYnS4p0MUISelL7n77dYTdPeqBYKIiASG4SR3ZcDkAa+zgPLhjrHW9v9dDfyBvmWeAFX9Szfdf1cPdXNr7ePW2mXW2mVpafqXUZHx7s2DVYQ6DOtmTWROejwpMeFsPjay5K7XZdld0qBZO/GahOgwkmPC2V5cT0x4CMuytfxXRET8bzjJ3Q4g1xiTY4wJB24BXhs05jXgM+6qmRcBTdbaCmNMjDEmDsAYEwN8BDgw4D13ub++C3h1lJ9FRMY4ay1vHazk4ukpJESH4XAYVs1IZfOxWqwdvGDg7D4sa6S1y6meY+JV2Sl9e+xW56YSHqrOQiIi4n/n/b+RtdYJPAS8CRQAL1hrDxpj7jfG3O8e9gZQCBwDngAecB+fCGw2xnwIbAf+11r7Z/e57wFXGWOOAle5X4tIEDte00phbRsfmZt+6tjq3FRqWro4XNUy7Ou8uuckEaEO1qo0vXhR/747LckUEZFAETqcQdbaN+hL4AYe+/mAry3w4BDvKwQWnuWadcAVIwlWRMa3Nw9WAXDVnImnjq0ZsO9udnr8ea/R0+vi9X0VXJk3kfjIMO8EKgLkTojDYeAyFVMREZEAoXUkIhIw3jxYyaLJiaQnRJ46lpEQxfS0mGH3u3vvaA31bd3csGhwUV8Rz/rMxVN5+YFVZCRE+TsUERERQMmdiASI8sYO9pU1cfWAJZn91uSmsa2oji5n73mv8/LukyRFh3GpGkqLl8VEhLJocqK/wxARETlFyZ2IBIS3DlYCcPXciWecWz0jlc4eF7tKGs55jZbOHt7Or+JjCzJV4EJERESCjn77EZGA8FZ+FbkTYpmWFnvGuYumpxDqMOftd/fnA5V0OV3csERLMkVERCT4KLkTEb9raOtmW1E9Hxli1g4gNiKUxVMSz9vv7pW9J5maEs1iLZUTERGRIKTkTkT8bsOhanpddsj9dv1Wz0hj/8kmGtq6hzxf0dTBB8fr+MSiSRhjvBWqiIiISMBScicifvfmwUoyEyKZPynhrGNW56ZiLXxwvG7I86/tLcda+MRiLckUERGR4KTkTkT8qr3byV+P1PCRuennnHFbmJVAXGQom4/VDHn+D3tOsnhKIjnuxtIiIiIiwUbJnYj41V+P1NDldJ11v12/0BAHF09L4b2jtVhrTztXUNHMocoWbtCsnYiIiAQxJXci4ldvHawiMTqMFdnJ5x27JjeVsoYOSuraTzv+yp6ThDoMH52f4a0wRURERAKekjsR8ZueXhfvFFRxxeyJhIac/8fR6ty+xuTvDaia2euyvLq3nMtmppESG+G1WEVEREQCnZI7EfGbbYX1NHc6h2xcPpTslGgmJUax+ejf9t1tK6yjsrlTve1EREQk6Cm5ExG/efNgJVFhIVw6M21Y440xrMlN5YPjdTh7XUBfIZXYiFCunDO8BFFERERkvFJyJyJ+4XJZ3sqv5LKZaUSGhQz7fatzU2npdLLvZBOdPb386UAl185LH9E1RERERMajUH8HICLBaXtxPVXNXVw9b2QzbpdMT8UY2Hy0lpMNHbR2OVUlU0RERAQldyLiJ/+98RipseFcPTd9RO9LjglnbmY8m4/W8mFpIxkJkVw0LcVLUYqIiIiMHVqWKSI+t6O4ns3Harn/sulEh4/835hWz0hj94kG/nKkho8vysThOHvzcxEREZFgoeRORHzuh28fITU2gttXTr2g96/JTcXpsjhdVksyRURERNyU3ImIT20rrOOD43Xcf9k0osIvrAjK0qlJRIQ6mJ0ex+z0eA9HKCIiIjI2ac+diPjUj945SlpcBHdcdGGzdgCRYSF875PzyUyI8mBkIiIiImObkjsR8ZmthXVsKazjnz6WN+rWBTcszvJQVCIiIiLjg5ZliojP/OidI6TFRXD7yin+DkVERERk3FFyF6Re3FnKk+8V+jsMCSJbjtextbCev7tsuhqOi4iIiHiBlmUGGWst33/rMI9uOo4xcPXcdCYnR/s7LAkCP3rnCBPiIrhNs3YiIiIiXqGZuyDi7HXxDy/t49FNx/n4wkwM8LvtJ/wdlgSBD47Xsq2ongcu16ydiIiIiLcouQsSHd293P+bXbyws4wvXZHLj29ZxJVzJvL8jlK6nL3+Dk/GMWstP3rnKBPjI7hlhWbtRERERLxFyV0QaGzv5o6ntrHhUDXf+cQ8vnLVTIwx3HnxVOrbuvnT/kp/h+gx9z6zk2+/nu/vMGSALcfr2F5UzwOXz9CsnYiIiIgXKbkb58obO7j551vYX9bEz25bclpvsVXTU8lJjeHXW0v8GKHnNHf2sKGgil9vLaa6udPf4Qh9s3Y/fOcI6fGRfHr5ZH+HIyIiIjKuKbkbx45WtfDJxz6gsqmTX929gmvnZ5x23uEw3HHRVHaVNHCwvMlPUXrOruIGXBZ6ei2/2lLs73AE+OB4HTuKG3hgrfbaiYiIiHibkrtxpq61iz8fqOTbr+dz08+34HRZnv/CxVw8PWXI8TctySIyzMFvto79wirbiuoJCzFcNjON32w9QXu3098hBb0fbzhKenwkn1qmWTsRERERb1MrhDGuvLGDHcX1bCuqZ3tRPceqWwGICHWwIieZ794w/5ytDhKiw1i/cBKv7DnJ16+bTXxkmK9C97htRXUsyErki+tmcNPPt/DSrjLuvDjb32EFrYa2brYX1fN/rpqpWTsRERERH1ByN0Z1O13c+sRWdpU0ABAXEcrS7CRuXDKJlTnJzJuUQETo8H6hvvPiqTy/s5SXd5Xx2VU55x3f2dPLW/lVfHR+BiEOM6rP4Snt3U72lzVx76XTWDo1iUWTE3lqcxG3rZwaMDEGm+3F9QBnnTUWEREREc9ScjdGvVNQxa6SBh64fDrXzc9gTkb8BScx8yYlsGhyIr/eWsJdl2RjzNmvY63la7/fx2sflhMTHsIVcyZe6EfwqN0ljThdlpU5yRhjuHfNNB783W7eKaji6rnp/g4vKG0vqici1MGCrAR/hyIiIiISFLTnbox6dvsJJiVG8dWPzGLepIRRz07dedFUjte0saWw7pzjHt10jNc+LAf6fnkPFNuL6nAYWDo1CYCr505kUmIUT75X6OfIgte2ojoWT0kc9gyyiIiIiIyOkrsxqLS+nc3Harl5WZbHlhx+dEEGidFh/HrL2dsi/PlAJd9/6wjrF2WydGrSqWV3gWBbUT1zMxOIc+8ZDA1xcPfqHHYUN7C3tNHP0QWf5s4e8subWZGjJZkiIiIivqLkbgx6YWcpBjxagTAyLIRPL5vMW/lVVDad2SPuYHkTX3l+LwsnJ/L/fXIBK3OS2V/WFBAVKTt7etlT2sjKnOTTjn96+WTiIkI1e+cHu0r62lJcNOh7IiIiIiLeo+RujHH2unhhZymXzUwjMzHKo9e+beUUXNby7PbT2yLUtHRx7692khAVxhN3LiUyLITlOck4XZa9J/w/K7avrIlup4sVgxKJ2IhQbl05hT8dqKSsoX3U9ymtbx8y8ZUzbSusJ9RhWDwlyd+hiIiIiAQNJXdjzLuHa6hq7uKWFVM8fu2pKTFcNjONZ7efoKfXBUCXs5f7f7OL+vZunvjMMibERwJ9e9scpm85pL9tc+8THJzcAXz2kmwAnn6/eFT3KK1v52M/3cz6RzdT29o1qmsFg+1FdSzISiAqXPvtRERERHxFyd0Y89yOE6TFRbBu9gSvXP/Oi6ZS3dLxikOxAAAd30lEQVTF2/lVWGv5+sv72VXSwA9uXsT8AVUP4yPDmJMRz44A2He3vbie2elxJEaHn3EuMzGKj87P4LkdpTR39lzQ9Tu6e/nCr3fhspaG9h6+8vxeXC472rDHrfZuJ/vKmlg5TfvtRERERHxJyd0YUtnUycZD1dy8NIuwEO986y6fNYFJiVH8eksJT7xXyMu7T/KlK3L56IKMM8auyElm94kGup0ur8QyHD29LnaVNAw5a9fv3jXTaO1y8vz20hFf31rLP/5hPwWVzfzk1sV88/q5vHe0lkc3HRtN2B71/rFaVvzbOwEzo7jnRF9binN9T0RERETE85TcjSEv7izFZfsKhXhLiMNwx0VT2VJYx7//6RDXzU/nS1fkDjl2RXYynT0uDpQ3eS2e8zlwson27l5WnqMq4/ysBFbmJPPL94tw9o4sEX1mSwkv7znJV66cydpZE7h1xWTWL8rkh+8cYcvxc7eN8JVfvl9EdUsXewJg/yP0LdV1GFg2VfvtRERERHxJyd0Y4XJZnt9ZyqoZKUxNifHqvT61LIuIUAd5GfF8/+aFOM7SbmG5e2bGn/3u+u+9POfcicQ9a6ZR3tTJGwcqh33tHcX1/Osf87lyzgQeWjsDAGMM371hPtmpMTz83B5qWvw7W1bT0sWmwzUA5Jc3+zWWftsK605rSyEiIiIivqHkbozYfKyWsoYOblnu+UIqg6XERvC/D6/hufsuIjo89KzjUmMjmJYWww4/JnfbiuqZlhbDhLjIc467YvYEpqXG8OR7hVh7/v1yVc2dPPDb3UxOjua/Pr3otAQ3JiKUn92+hOaOHr78/B56/bj/7tW9J+l1WeIjQymo8H9y1+Xsa0uhJZkiIiIivqfkbox4bscJkqLD+MjciT6534wJscOaeVmZk8yO4nq/FBjpdVl2FNef0d9uKA6H4e7VOewra+I7/1twztYI3U4XD/x2N21dTn5+x1Lih/jvMDs9nm+vn8v7x+r46cajo/ocF8pay4s7y1g0OZE1uWnkB0By92FpX1uK4XxPRERERMSzlNz5UWdPL2/srzjVduBsalv7qld+ckkWEaGBVVp+eXYyzZ1ODle1+Pzehyqbael0DnuW6KalWVy/MJNfvl/Epf+xiXuf2cnmo7VnzOR953/z2VXSwH/ctIBZ6XFnvd6nlk3mxsWT+PGGo7x/rHZUn+VCHDjZzOGqFm5amkVeZjwn6ttpucCKoJ6yvahvH+LybCV3IiIiIr6m5M6PXtxZygO/3c3tT26juuXszbFf2lVGT6/llhXeK6RyoVb4cd/dtsK+e56rmMpAkWEh/PTWxbz3D+u4/7Lp7Cpp4I6ntnHlf/2FZ7YU09rl5Pe7ynhmSwn3XTqNjy3IPOf1jDF854Z5TE+L5UvP7aG62bcNzl/cVUp4qIPrF2SSlxEPwKFK3yfZA20r6mtLkRRzZlsKEREREfEuJXd+dLS6lfBQB/vKGrn+p5vZVXJmgmSt5fkdpSzPTmLGhLPPIvlLVlI0mQmRbPdDv7vtRfVkJUWRmRg1ovdNSozia9fM5oNH1vGDmxcSExHKP796kIu+u4Fv/GE/F09L4WtXzxrWtaLD+/bftXX18vBzvtt/1+Xs5dW95Vw9N52E6L6eg+DfoirDaUshIiIiIt6j5M6PCmvamJMex8t/t4qI0BBueXwrz2wpPm2Z4Laiegpr23xSSOVCrchJZntR/bAKlXiKtZbtxfXDnrUbSmRYCJ9cmsVrD63mlQdXcVXeROZmxvPT2xYTOoI+gjMnxvGvn5jH1sJ6vvtGwQXHMxLv5FfT1NHDTUuzAJgYH0FyTLhfk7uD5c20d/cquRMRERHxEyV3flRY08q0tFjyMuN5/aHVrMlN459fPcj/eeFDOrp7AXhu+wniIkO5bv6ZTcQDxfKcZGpauiipO3uREk87Vt1KfVu3xwp3LJqcyA8/vYg/PLCK1NiIEb//pqVZfPaSbJ7aXMTT7xd5JKZz+f2uUtLjI1k9IxXoWyKalxFPQaX/krtthX377ZTciYiIiPjHsJI7Y8w1xpjDxphjxphHhjhvjDE/cZ/fZ4xZ4j4+2RizyRhTYIw5aIz50oD3fNMYc9IYs9f95zrPfazA197tpLypk2mpfT3rEqLDePIzy/jKlTN5Ze9JbnzsA/aVNfLGgUpuWDyJqPDAKqQy0Eo/7Lvb5r5XICUS//SxPD6SN5Fv/TGftw4Ov5/eSFU1d/KXIzXcuGQSIQNaNMzJiONQZcuIG7V7yvaieqalnr8thYiIiIh4x3mTO2NMCPAocC2QB9xqjMkbNOxaINf95z7gMfdxJ/BVa+0c4CLgwUHv/aG1dpH7zxuj+yhjS1FtGwDT0mJPHXM4DF+6MpdffHY5JxvaWf/o+3Q7XQG9JBNgelosyTHhPt13t62ononxEUxNifbZPc8nxGH48S2LWZCVyMPP7WFvaaNX7vOHPSdxWU4tyeyXlxlPt9NFofvZ8qVel3uZ7LTASbZFREREgs1wZu5WAMestYXW2m7gOWD9oDHrgWdsn61AojEmw1pbYa3dDWCtbQEKgEkejH/MKqzpT+5izji3dtYE/vjFNczLTGDVjBTyMuN9Hd6IGGNYnp3ks5k7ay3bi+pYkZOCMeb8b/ChqPAQnrprGWlxEdzzqx2U1nt2qaq1lt/vKmPp1KTT/mEAIC8jAcAvzcxH2pZCRERERDxvOMndJKB0wOsyzkzQzjvGGJMNLAa2DTj8kHsZ5y+MMUnDjHlcKKxpwxjIST0zuQOYkhLN619cza/vXunjyC7M8uxkTtS3U9nk/XYAJXXtVDV3BWyj7NTYCJ7+3AqcLstdv9xOY3u3x669t7SRY9Wt3Dxo1g76/qEgPMThl6Iq208tk73wAjciIiIiMjrDSe6GmhoZXBbxnGOMMbHAS8CXrbX9v3k+BkwHFgEVwA+GvLkx9xljdhpjdtbU1Awj3LGhsLaVzIQoIsPOvZfO4Qismamz6a9a6Yulmf2JRKAmd9C3VPXxO5dRVt/Bfc/sorOn1yPX/f2uMiLDHFy34MwCO2EhDmamx5Lvh5m7bYV9bSkmjbAthYiIiIh4znCSuzJgYPfsLKB8uGOMMWH0JXa/tda+3D/AWltlre211rqAJ+hb/nkGa+3j1tpl1tplaWlpwwh3bCisaRtySeZYNScjjpjwEHb4YGnmtqJ6kmPCmTEh9vyD/WhFTjI/+NRCthfX839/vw/XKHvgdfb08tqH5VwzN534yLAhx+RlxJNf3uyXthRakikiIiLiX8NJ7nYAucaYHGNMOHAL8NqgMa8Bn3FXzbwIaLLWVpi+DVFPAQXW2v8a+AZjzMCphxuAAxf8KcYYay1FtW2nKmWOB6EhDpZmJ/tk3922ojpWZCcH3H67oVy/MJNHrp3N6x+W859vHR7Vtd7Kr6Kl08nNyyafdcycjHjq2rqpaeka1b1G4niNZ9tSiIiIiMiFOW9yZ611Ag8Bb9JXEOUFa+1BY8z9xpj73cPeAAqBY/TNwj3gPr4KuBNYN0TLg/8wxuw3xuwD1gJf8dinCnA1LV20djnPKIgx1q3ITuJwVYtH95gNdrKxg7KGjjE1S/SFS6dx+8opPPbu8VG1SHhxZymTEqO4eNrZ97XlZfQV3znow6WZWwv7l8lqv52IiIiIP4UOZ5C7TcEbg479fMDXFnhwiPdtZuj9eFhr7xxRpOPI8XNUyhzL+otp7Chu4Kq8iV65x/aivkbZY6nkvjGGf7l+LntONPL1l/ezZGrSiBulVzR1sPlYLV9cO+Oc+zDnuCurFlQ0s3bWhFHFPVzbi+qZEBdYbSlEREREgtGwmpiLZxXWtgKMu5m7BVkJhIc42OGloipFtW38+xuHyEiIZHZ6YLeHGCw81MEPP72Ilk4nX395/4j3xL28+yTWwieHqJI5UHxkGFlJUT6rmGmtZVtRHSunBV5bChEREZFgo+TODwpr2ogMc5ARH+nvUDwqMiyERZMT2eaFfXel9e3c9sRWnC7L059bQcgYqSI60Kz0OP7v1bN4O7+KF3eVDft9Xc5eXtxZyoqcZKamnH+2Ny8j3mcVM0/U97WlGEvLZEVERETGKyV3flBY00pOauyYaXMwEstzkjh4som2LqfHrnmysYNbHt9Ke3cvv/n8Smalx3ns2r72+dU5rMxJ5tuv5w+rwXlnTy/3PbOL4rp27l6VM6x75GXGU1TbRnu3574HZ7NtDLSlEBEREQkWSu78oLB2fLVBGGhFTgpOl2XPiUaPXK+yqZPbnthKc2cPv/n8SvIyx9ZyzMEcDsP3b14IwN+/+OE52yO0dzu5++kd/PVoDd+7cT7XzEsf1j3mZMRjLRyubPFIzOeys7iepOgwcgO8LYWIiIhIMFBy52Ndzl5K69uZPo7aIAy0ZEoiDuOZZubVLX2JXV1rN8/cvYL5WQkeiND/JidH88/X57GtqJ6nNhcNOaals4fPPLWdrYV1/NenFnLLiinDvn5/xUxfLM3Mr2hm3qQE7bcTERERCQBK7nzsRF07Ljv+iqn0i4sMY25mwqmqlheqrrWL25/YRmVzJ7/83HIWT0nyUISB4ealWVyVN5H/fPPwGTNsje3d3PHkNvaWNvLfty3hhsXnLqIyWFZSFHGRoV4vqtLT6+JIZStzMsb2bKqIiIjIeKHkzsfGaxuEgS6ZnsKukgbqWi+skXZDWze3P7mN0oZ2nrprOcuzx99+LmMM/37jfOKjQvny83vpdrqAvqT21ie2UVDRws/vWMp18zMu6NpzMuIp8PLMXWFNG929rlMzhSIiIiLiX0rufKy/DULOOF2WCXDT0ix6ei2/H0FFyH7t3U7u/MU2CmvbeOIzy7h4+vhtjJ0aG8F3b5hPQUUzP95whOrmTm55fCuFNa08cdcyrhxFr8C8jHgOVbbQe449faOVX9EEoJk7ERERkQCh5M7HimraSIuLIC4yzN+heE3uxDhWZCfzu+0nzlkwZCjPbS/lwMlm/vvWxazJTfNShIHjI3PTuXlpFo+9e5wbfvYBJxs7ePpzK7hs5ug+e15mPO3dvZTUtXko0jMVVLQQHuoY17PQIiIiImOJkjsfK6xtY9o4nrXrd9vKKZTUtfPB8eHvvXP2uvjF+0Usm5rER+YOrzLkePDP1+eRmRhFc0cPv/78Co/MVvYvlSyo8F7FzIKKZmZOjCUsRD9GRERERAKBfivzscKa1nFbTGWga+alkxQdxm+3lQz7PW8erKKsoYN71kzzYmSBJy4yjJcfuIS3/s+lLJ3qmf2FMybEEuowp5ZOepq1lvzyZuaka0mmiIiISKBQcudDDW3dNLT3MD0IlrFFhoVw09Is3s6vorq5c1jveXJzIVNTorlqFHvNxqoJcZFkJER57HqRYSHMmBDrtYqZNS1d1LV1j/m+gyIiIiLjiZI7H+ovphIse5RuXTEFp8vyws7S847dVVLPnhON3L0qhxCHeqZ5Ql/FTO8syzzorsSpYioiIiIigUPJnQ+daoOQOv6XZUJfL79Lpqfw7PbS81ZtfOKvRSREhXHzspH1dJOzy8uIp7K584JbUpxLgZI7ERERkYCj5M6HCmvaCAsxZCV5bvldoLt95VRONnbw1yM1Zx1TUtfGm/mV3L5yCtHhoT6MbnzrXzLpjdm7gooWJiVGkRA1fqu+ioiIiIw1Su58qLCmlakpMYQGUXXBq/Imkhobzm+3nTjrmF++X0yow3DXJdm+CywIzDlVMdPz++7yy5s0ayciIiISYIInywgAwdIGYaDwUAefWjaZjYeqKG/sOON8U3sPL+ws5fqFmUyMj/RDhONXckw46fGR5Hs4uevo7qWotk3FVEREREQCjJI7H3H2uiipawuKNgiD3bpiChZ4fseZhVV+t/0E7d293LM6uNof+EpeZrzHK2YermrBZSEvI86j1xURERGR0VFy5yNlDR309NqgqZQ50OTkaC7NTeO5HSdw9rpOHe92unj6gyJWzUjRLJCXzMmI43hNK509vR67Zv8yz7yMBI9dU0RERERGT8ndKHU7XVQ2nb+PW38bhGDocTeU21ZOoaq5i42Hqk8d++O+cqqau4Kuabkv5WUk4HRZjlW3euyaBRXNxEaEBlVhIBEREZGxQMndKN38P1v46ot7zzuuMMjaIAx2xewJTIyPOFVYxVrLk+8VkTshlstnpvk5uvFrjnvppCeXZuaXNzMnIw6H+hGKiIiIBBQld6N0zdx03j9Wx8HypnOOK6xtIzE6jKSYcB9FFlhCQxx8evkU/nq0htL6drYcryO/opl71uRgjJIEb5maEkN0eIjHiqq4XJZDlS2qlCkiIiISgJTcjdJtK6YQHR7CU5uLzjmusKY16CplDnbL8skY4NntJ3hycxGpseGsXzTJ32GNayEOw+z0OD4sa/TI9Uob2mntciq5ExEREQlASu5GKSE6jE8tm8zrH5ZT1Xz2vXeFNcFZKXOgzMQo1s2ewK+3lrDxUDV3XpRNZFiIv8Ma967KS2fPiUb+fKBy1Nf6WzEVJXciIiIigUbJnQfcvSoHp8vy9AfFQ55v6eyhuqUrKCtlDnb7yqm0dDqJCHVwx0VT/B1OULhnTQ55GfH8v1cO0NDWPapr5Ve04DAwK11tEEREREQCjZI7D5iSEs3Veen8dmsJbV3OM84X1QZ3MZWBLp2ZRu6EWG5fOZWU2Ah/hxMUwkIcfP/mhTS2d/Ot1w+O6lr55c1MS4vVjKuIiIhIAFJy5yH3XppDc6eT3+8qO+Ncf6XMYG2DMFCIw/Dmly/lnz42x9+hBJW8zHgeXDuDV/aW83Z+1QVfp6CiWfvtRERERAKUkjsPWTo1mcVTEnlqcxG9LnvaucKaVhymb4ZPwOEwqpDpBw+uncHs9Di+8Yf9NLaPfHlmU3sPJxs7TrVXEBEREZHAouTOg+5ZPY0T9e1nzIwcr21jcnI0EaFayib+Ex7atzyzvq2bb/8xf8TvL6hUMRURERGRQKbkzoOunjuRrKQonnyv8LTjhTVtQd8GQQLDvEkJPHD5dF7efZKNh0a2PLO/EbqSOxEREZHApOTOg0JDHNy9KoedJQ3sOdEA9DV9LqptDfo2CBI4Hlo3g1kT4/j6y/tp6ugZ9vsKKppJjQ0nLU6FcEREREQCkZI7D/vU8snERYbypLupeUVzJ509LrVBkIARERrCf968gNrWbr4zguWZBZV9xVS0X1JEREQkMCm587DYiFBuWzGFP+2voLS+naIatUGQwLMgK5EvXDqNF3eVselw9XnH9/S6OFLZqiWZIiIiIgFMyZ0XfHZVNg5j+OX7xRTWtgJqgyCB50tX5pI7IZZvvLyf5s5zL88srGmju9elNggiIiIiAUzJnRdkJETx0QUZPL/jBHtLG4kJD9E+JQk4fcszF1LV3Mk3Xz13c/P8iiYAJXciIiIiAUzJnZfcu2Yabd29vLLnJNPSYrVPSQLSosmJfHFdLi/vOclLu8rOOq6gooXwUIf2joqIiIgEMCV3XjJvUgIXTUvGZdEvxBLQHr4il5U5yfzTqwc4XtM65JiCimZmTowlLEQ/MkREREQClX5T86J7Vk8DVExFAluIw/DjWxYTEergod/tobOn97Tz1lryy5tVTEVEREQkwCm586J1syfwj9fN4aZlWf4OReSc0hMi+cGnFlJQ0cx33yg47VxNSxd1bd3abyciIiIS4JTceZHDYbj30mlMSozydygi57Vu9kTuWZ3DM1tK+POBylPHD1Y0AyqmIiIiIhLolNyJyClfu2Y2C7IS+NrvP6SsoR3o228HSu5EREREAp2SOxE5JTzUwU9vXYzLwsPP7qGn10VBRQuTEqNIiArzd3giIiIicg5K7kTkNFNTYvj3G+ez+0QjP3z7CPnlTeRlatZOREREJNCF+jsAEQk81y/M5P1jtTz2l+MAfHRBpp8jEhEREZHz0cydiAzpX66fS+6EWKxFbRBERERExgAldyIypKjwEH52+xKunjuRi6el+DscERERETkPLcsUkbOaMSGO/7lzmb/DEBEREZFh0MydiIiIiIjIOKDkTkREREREZBwYVnJnjLnGGHPYGHPMGPPIEOeNMeYn7vP7jDFLzvdeY0yyMeZtY8xR999JnvlIIiIiIiIiwee8yZ0xJgR4FLgWyANuNcbkDRp2LZDr/nMf8Ngw3vsIsMFamwtscL8WERERERGRCzCcmbsVwDFrbaG1tht4Dlg/aMx64BnbZyuQaIzJOM971wO/cn/9K+ATo/wsIiIiIiIiQWs4yd0koHTA6zL3seGMOdd7J1prKwDcf08YftgiIiIiIiIy0HCSOzPEMTvMMcN577lvbsx9xpidxpidNTU1I3mriIiIiIhI0BhOclcGTB7wOgsoH+aYc723yr10E/ff1UPd3Fr7uLV2mbV2WVpa2jDCFRERERERCT7DSe52ALnGmBxjTDhwC/DaoDGvAZ9xV828CGhyL7U813tfA+5yf30X8OooP4uIiIiIiEjQCj3fAGut0xjzEPAmEAL8wlp70Bhzv/v8z4E3gOuAY0A78Llzvdd96e8BLxhjPg+cAG726CcTEREREREJIsbaEW2B86tly5bZnTt3+jsMERERERERvzDG7LLWLhvq3LCamIuIiIiIiEhgU3InIiIiIiIyDii5ExERERERGQeU3ImIiIiIiIwDSu5ERERERETGASV3IiIiIiIi44CSOxERERERkXFgTPW5M8bUACX+jmMIqUCtv4OQcU/PmXibnjHxBT1n4gt6zsQX/PWcTbXWpg11Ykwld4HKGLPzbI0ERTxFz5l4m54x8QU9Z+ILes7EFwLxOdOyTBERERERkXFAyZ2IiIiIiMg4oOTOMx73dwASFPScibfpGRNf0HMmvqDnTHwh4J4z7bkTEREREREZBzRzJyIiIiIiMg4ouRsFY8w1xpjDxphjxphH/B2PjA/GmMnGmE3GmAJjzEFjzJfcx5ONMW8bY466/07yd6wythljQowxe4wxf3S/1jMmHmeMSTTG/N4Yc8j9c+1iPWviScaYr7j/f3nAGPOsMSZSz5iMljHmF8aYamPMgQHHzvpcGWO+7s4JDhtjrvZP1EruLpgxJgR4FLgWyANuNcbk+TcqGSecwFettXOAi4AH3c/WI8AGa20usMH9WmQ0vgQUDHitZ0y84cfAn621s4GF9D1zetbEI4wxk4CHgWXW2nlACHALesZk9J4Grhl0bMjnyv172i3AXPd7fubOFXxOyd2FWwEcs9YWWmu7geeA9X6OScYBa22FtXa3++sW+n4RmkTf8/Ur97BfAZ/wT4QyHhhjsoCPAk8OOKxnTDzKGBMPXAo8BWCt7bbWNqJnTTwrFIgyxoQC0UA5esZklKy1fwXqBx0+23O1HnjOWttlrS0CjtGXK/ickrsLNwkoHfC6zH1MxGOMMdnAYmAbMNFaWwF9CSAwwX+RyTjwI+BrgGvAMT1j4mnTgBrgl+4lwE8aY2LQsyYeYq09CXwfOAFUAE3W2rfQMybecbbnKmDyAiV3F84McUylR8VjjDGxwEvAl621zf6OR8YPY8zHgGpr7S5/xyLjXiiwBHjMWrsYaEPL48SD3Hue1gM5QCYQY4y5w79RSRAKmLxAyd2FKwMmD3idRd8yAJFRM8aE0ZfY/dZa+7L7cJUxJsN9PgOo9ld8MuatAj5ujCmmb0n5OmPMb9AzJp5XBpRZa7e5X/+evmRPz5p4ypVAkbW2xlrbA7wMXIKeMfGOsz1XAZMXKLm7cDuAXGNMjjEmnL5NlK/5OSYZB4wxhr79KQXW2v8acOo14C7313cBr/o6NhkfrLVft9ZmWWuz6fvZtdFaewd6xsTDrLWVQKkxZpb70BVAPnrWxHNOABcZY6Ld//+8gr696nrGxBvO9ly9BtxijIkwxuQAucB2P8SnJuajYYy5jr59KyHAL6y1/+bnkGQcMMasBt4D9vO3/VDfoG/f3QvAFPr+Z3aztXbwRl+RETHGXA78vbX2Y8aYFPSMiYcZYxbRV7gnHCgEPkffPy7rWROPMMZ8C/g0fdWm9wD3ALHoGZNRMMY8C1wOpAJVwL8Ar3CW58oY84/A3fQ9h1+21v7JD2EruRMRERERERkPtCxTRERERERkHFByJyIiIiIiMg4ouRMRERERERkHlNyJiIiIiIiMA0ruRERERERExgEldyIiIiIiIuOAkjsREREREZFxQMmdiIiIiIjIOPD/AzNY1rhTWrR3AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "T = 100\n", + "N = 10000\n", + "PATH = [gen_martingale(T) for i in range(N)]\n", + "t = [t for t in range(T)]\n", + "m = [0 for t in range(T)]\n", + "for path in PATH:\n", + " for tt in range(T):\n", + " m[tt] += path[tt]\n", + "m = [mm / N for mm in m]\n", + "plt.plot(t, m)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 鞅的收敛" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "T = 2000\n", + "x0 = 1\n", + "\n", + "\n", + "def gen_martingale(p):\n", + " X = []\n", + " x = x0\n", + " for t in range(T):\n", + " x *= (0.9 if nprd.uniform() < p else 1.1)\n", + " X.append(x)\n", + " return X\n", + "\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (5.0, 5.0)\n", + "fig = plt.figure()\n", + "N = 8\n", + "t = [t for t in range(T)]\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_martingale(0.5)\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n", + "fig.savefig(\"martingale_nonnegative_martingale5.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (5.0, 5.0)\n", + "fig = plt.figure()\n", + "N = 8\n", + "t = [t for t in range(T)]\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_martingale(0.53)\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n", + "fig.savefig(\"martingale_nonnegative_martingale53.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (5.0, 5.0)\n", + "fig = plt.figure()\n", + "N = 8\n", + "t = [t for t in range(T)]\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_martingale(0.47)\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n", + "fig.savefig(\"martingale_nonnegative_martingale47.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "T = 100\n", + "x0 = 1\n", + "rho = 0.8\n", + "\n", + "\n", + "def gen_martingale():\n", + " X = []\n", + " x = x0\n", + " z = 0\n", + " for t in range(T):\n", + " x *= np.exp(rho**(t + 1) * nprd.normal() - (rho**(2 * (t + 1))) / 2)\n", + " X.append(x)\n", + " return X\n", + "\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig = plt.figure()\n", + "N = 20\n", + "t = [t for t in range(T)]\n", + "corlors = np.linspace(0, 1, N)\n", + "for i in range(N):\n", + " x = gen_martingale()\n", + " plt.plot(t, x, color=(0.8, 1 - corlors[i], corlors[i]))\n", + "fig.savefig(\"martingale_nonnegative_doob_martingale.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.8.10 64-bit", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + }, + "vscode": { + "interpreter": { + "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/notebook_python/MonteCarlo.ipynb b/notebook_python/MonteCarlo.ipynb new file mode 100644 index 0000000..485aad5 --- /dev/null +++ b/notebook_python/MonteCarlo.ipynb @@ -0,0 +1,1152 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Monte Carlo法以及MCMC\n", + "## 简单的Monte Carlo\n", + "令$\\left(x_1,x_2\\right)\\in\\left[-1,1\\right]\\times\\left[-1,1\\right]$,以及:$$h\\left(x_1,x_2\\right)=\\frac{1}{2}\\exp\\left\\{ -90\\left(x_1-0.5\\right)^{2}-45\\left(x_2+0.1\\right)^{2}\\right\\} $$\n", + "为了计算:$$I=\\int h\\left(x\\right)dx$$\n", + "我们可以先在$\\left[-1,1\\right]\\times\\left[-1,1\\right]$的均匀分布中进行抽样,其密度函数为$f\\left(x\\right)=\\frac{1}{4}$,从而数值积分为:$$\\hat{I}=\\frac{1}{N}\\sum_{i=1}^{N}\\frac{h\\left(x_{i}\\right)}{f\\left(x_{i}\\right)}=\\frac{4}{N}\\sum_{i=1}^{N}h\\left(x_{i}\\right)$$" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'h' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m/home/aragorn/Working/MathStat/MathStatsCode/notebook_python/MonteCarlo.ipynb Cell 2\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 11\u001b[0m x \u001b[39m=\u001b[39m [(nprd\u001b[39m.\u001b[39mrandom() \u001b[39m*\u001b[39m \u001b[39m2\u001b[39m \u001b[39m-\u001b[39m \u001b[39m1\u001b[39m, nprd\u001b[39m.\u001b[39mrandom() \u001b[39m*\u001b[39m \u001b[39m2\u001b[39m \u001b[39m-\u001b[39m \u001b[39m1\u001b[39m) \u001b[39mfor\u001b[39;00m i \u001b[39min\u001b[39;00m \u001b[39mrange\u001b[39m(M)]\n\u001b[1;32m 13\u001b[0m \u001b[39m##计算h(x)\u001b[39;00m\n\u001b[0;32m---> 14\u001b[0m sample \u001b[39m=\u001b[39m \u001b[39mlist\u001b[39m(\u001b[39mmap\u001b[39m(h, x))\n\u001b[1;32m 15\u001b[0m integral \u001b[39m=\u001b[39m \u001b[39m4\u001b[39m \u001b[39m*\u001b[39m np\u001b[39m.\u001b[39mmean(sample)\n\u001b[1;32m 16\u001b[0m se \u001b[39m=\u001b[39m \u001b[39m4\u001b[39m \u001b[39m*\u001b[39m np\u001b[39m.\u001b[39mstd(sample) \u001b[39m/\u001b[39m np\u001b[39m.\u001b[39msqrt(M)\n", + "\u001b[0;31mNameError\u001b[0m: name 'h' is not defined" + ] + } + ], + "source": [ + "## MonteCarlo_simple.py\n", + "import numpy as np\n", + "from numpy import random as nprd\n", + "nprd.seed(19880505)\n", + "\n", + "##设定参数\n", + "M = 10000\n", + "h1 = lambda x: 0.5 * np.exp(-90 * (x[0] - 0.5)**2 - 45 * (x[1] + 0.1)**2)\n", + "\n", + "##抽样\n", + "x = [(nprd.random() * 2 - 1, nprd.random() * 2 - 1) for i in range(M)]\n", + "\n", + "##计算h(x)\n", + "sample = list(map(h, x))\n", + "integral = 4 * np.mean(sample)\n", + "se = 4 * np.std(sample) / np.sqrt(M)\n", + "subsample_001 = list(filter(lambda x: x > 0.01, sample))\n", + "print(\"Intgral=\", integral)\n", + "print(\"s.e. of Integral=\", se)\n", + "print(\"95% C.I.:\", integral - 1.96 * se, \"~\", integral + 1.96 * se)\n", + "print(\"Ratio of >0.01 samples:\", len(subsample_001) / M)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 重要性抽样\n", + "### 算法1\n", + "首先,我们可以使用一个工具分布,比如$x_1\\sim N\\left(0.5,\\frac{1}{180}\\right)$,$x_2\\sim N\\left(-0.1,\\frac{1}{90}\\right)$进行抽样,假设该联合分布函数为$m\\left(x_1,x_2\\right)$,然后计算$$\\hat{I}=\\frac{1}{N}\\sum_{i=1}^{N}h\\left(x_{i}\\right)\\frac{\\pi\\left(x_{i}\\right)}{m\\left(x_{i}\\right)}$$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intgral= 0.02468268298976871\n", + "s.e. of Integral= 7.83227169136638e-20\n", + "95% C.I.: 0.02468268298976871 ~ 0.02468268298976871\n" + ] + } + ], + "source": [ + "## importance_sampling.py\n", + "import numpy as np\n", + "from numpy import random as nprd\n", + "##设定参数\n", + "M = 10000\n", + "h1 = lambda x: 0.5 * np.exp(-90 * (x[0] - 0.5)**2 - 45 * (x[1] + 0.1)**2)\n", + "domain = lambda x: (x[0] >= -1) * (x[1] >= -1) * (x[0] <= 1) * (x[1] <= 1)\n", + "pai = lambda x: 1 / 4 * domain(x)\n", + "h1_star = lambda x: 4 * h1(x)\n", + "mu1 = 0.5\n", + "mu2 = -0.1\n", + "sigma1 = np.sqrt(1 / 180)\n", + "sigma2 = np.sqrt(1 / 90)\n", + "m = lambda x: 1/(2 * np.pi * sigma1 * sigma2) * \\\n", + " np.exp(-1 * (x[0]-mu1)**2/(2 * sigma1**2)\\\n", + " - (x[1]-mu2)**2 / (2 * sigma2**2))\n", + "\n", + "#从m(x)中采样\n", + "x = [(nprd.normal(mu1, sigma1), nprd.normal(mu2, sigma2))\\\n", + " for i in range(M)]\n", + "\n", + "## 计算积分\n", + "H = list(map(lambda x: h1_star(x) * pai(x) / m(x), x))\n", + "integral = np.mean(H)\n", + "se = np.std(H) / np.sqrt(M)\n", + "print(\"Intgral=\", integral)\n", + "print(\"s.e. of Integral=\", se)\n", + "print(\"95% C.I.:\", integral - 1.96 * se, \"~\", integral + 1.96 * se)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 算法2\n", + "在重要性抽样的第二种算法中,为了计算第一部分的积分,我们首先使用拒绝采样法,从$$g\\left(x_1,x_2\\right)\\propto\\exp\\left\\{ -90\\left(x_1-0.5\\right)^{2}-45\\left(x_2+0.1\\right)^{2}\\right\\} \\cdot1\\left\\{ -1\\leq x_1\\leq1\\right\\} \\cdot1\\left\\{ -1\\leq x_2\\leq1\\right\\}$$\n", + "中进行抽样,然后使用公式:$$\\check{I}=\\frac{\\sum_{i=1}^{N}\\frac{h\\left(x_{1i},x_{2i}\\right)}{\\left|h\\left(x_{1i},x_{2i}\\right)\\right|}}{\\sum_{i=1}^{N}\\frac{1}{\\left|h\\left(x_{1i},x_{2i}\\right)\\right|}}=\\frac{\\sum_{i=1}^{N}\\frac{h_{1}\\left(x_{1i},x_{2i}\\right)}{\\left|h_{1}\\left(x_{1i},x_{2i}\\right)\\right|}}{\\sum_{i=1}^{N}\\frac{1}{\\left|4h_{1}\\left(x_{1i},x_{2i}\\right)\\right|}}=\\frac{4}{\\frac{1}{N}\\sum_{i=1}^{N}\\frac{1}{\\left|h_{1}\\left(x_{1i},x_{2i}\\right)\\right|}}$$\n", + "计算该积分。(详细推导过程见讲义,注意该方法是错的。)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intgral= 0.14073695022511232\n" + ] + } + ], + "source": [ + "## importance_sampling2.py\n", + "import numpy as np\n", + "from numpy import random as nprd\n", + "\n", + "##设定参数\n", + "M = 10000\n", + "h1 = lambda x: 0.5 * np.exp(-90 * (x[0] - 0.5)**2 - 45 * (x[1] + 0.1)**2)\n", + "domain = lambda x: (x[0] >= -1) * (x[1] >= -1) * (x[0] <= 1) * (x[1] <= 1)\n", + "pai = lambda x: 1 / 4 * domain(x)\n", + "h = lambda x: 4 * h1(x)\n", + "l = lambda x: np.exp(-90 * (x[0] - 0.5)**2 - 45 * (x[1] + 0.1)**2) * domain(x)\n", + "\n", + "##拒绝采样法的参数\n", + "mu1 = 0.5\n", + "mu2 = -0.1\n", + "sigma1 = np.sqrt(1 / 180)\n", + "sigma2 = np.sqrt(1 / 90)\n", + "m=lambda x: 1/(2*np.pi*sigma1*sigma2)* \\\n", + " np.exp(-1*(x[0]-mu1)**2/(2*sigma1**2)\\\n", + " -(x[1]-mu2)**2/(2*sigma2**2))\n", + "x_star = mu1\n", + "y_star = mu2\n", + "R = l((x_star, y_star)) / m((x_star, y_star))\n", + "r = lambda x: l(x) / (R * m(x))\n", + "\n", + "\n", + "##拒绝采样,从g(x)∝l(x)中采样\n", + "def sampling(N_samples):\n", + " X = []\n", + " for i in range(N_samples):\n", + " while True:\n", + " #从m(x)中采样\n", + " x1 = nprd.normal(mu1, sigma1)\n", + " x2 = nprd.normal(mu2, sigma2)\n", + " #拒绝\n", + " if nprd.uniform() < r((x1, x2)):\n", + " X.append((x1, x2))\n", + " break\n", + " return X\n", + "\n", + "\n", + "## 计算积分\n", + "x = sampling(M)\n", + "H = list(map(h, x))\n", + "Weight = list(map(lambda x: pai(x) / l(x), x))\n", + "HW = [H[i] * Weight[i] for i in range(len(H))]\n", + "integral = np.mean(HW) / np.mean(Weight)\n", + "print(\"Intgral=\", integral)\n", + "\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 独立的Metropolis-Hastings算法\n", + "\n", + "我们可以使用如下的代码实现独立的Metropolis-Hastings算法:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "##独立的MCMC算法,输入:\n", + "## N_samples : 抽样次数\n", + "## pai(x) : 目标密度函数\n", + "## q(y) : 工具密度函数\n", + "## q_sampler : 给定x,从q中抽样的函数\n", + "## x0 : 初始值\n", + "def MH_independent(N_samples, pai, q, q_sampler, x0):\n", + " X = []\n", + " x = x0\n", + " for i in range(N_samples):\n", + " y = q_sampler()\n", + " rho = min(1, pai(y) * q(x) / (pai(x) * q(y)))\n", + " if nprd.uniform() <= rho:\n", + " X.append(y)\n", + " x = y\n", + " else:\n", + " X.append(x)\n", + " return X" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 使用独立的Metropolis-Hastings算法从Beta分布中采样\n", + "为了从Beta分布:$$f\\left(x|\\alpha,\\beta\\right)=\\frac{1}{B\\left(\\alpha,\\beta\\right)}x^{\\alpha-1}\\left(1-x\\right)^{\\beta-1}$$中抽样,注意到Beta分布的取值范围为$\\left[0,1\\right]$,不妨选取$q\\left(y\\right)$为$\\left[0,1\\right]$上的均匀分布,使用独立的Metropolis-Hastings算法从Beta分布中抽样。" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from numpy import random as nprd\n", + "\n", + "##设定参数\n", + "M =20000\n", + "alpha=0.5\n", + "beta=0.5\n", + "domain=lambda x:(x>0)*(x<1)\n", + "pai=lambda x: x**(alpha-1)*(1-x)**(beta-1)*domain(x)\n", + "q=lambda y: 1\n", + "#从均匀分布中采样\n", + "def sample_q():\n", + " return (nprd.uniform())\n", + "\n", + "\n", + "## 计算积分\n", + "x=MH_independent(M, pai, q, sample_q, 0.5)\n", + "## 取h后面80%的样本\n", + "subx=x[int(M*0.2):]\n", + "## 诊断图\n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "index=[i for i in range(len(x))]\n", + "plt.plot(index,x,label=r'MCMC Samples x',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "from scipy import special as scsp\n", + "index_den=np.linspace(0.005,0.995,500)\n", + "density=[1.0/scsp.beta(alpha,beta)*x**(alpha-1)*(1-x)**(beta-1) for x in index_den]\n", + "plt.hist(subx,label=r'Histogram of x',color='blue', bins=50,normed=1)\n", + "plt.plot(index_den,density,label=r'Beta Denstiy',color='red')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.acorr(subx,label=r'Auto corr of h2',color='blue', maxlags=2000)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 使用独立的Metropolis-Hastings算法计算积分\n", + "为了计算以上积分,我们将密度函数改写为:$$\\int\\int\\frac{\\pi}{90\\sqrt{2}}\\cdot1\\left\\{ -1\\leq x_1\\leq1\\right\\} \\cdot1\\left\\{ -1\\leq x_2\\leq1\\right\\} \\cdot f\\left(x_1,x_2\\right)dx_1dx_2\\overset{\\Delta}{=}\\frac{\\pi}{90\\sqrt{2}}\\int\\int h\\left(x_1,x_2\\right)\\cdot\\pi\\left(x,y\\right)dx_1dx_2$$\n", + "接下来使用独立的Metropolis-Hastings算法,选取工具密度$$p\\left(y|x\\right)=\\frac{1}{4}1\\left\\{ -1\\leq y_1\\leq1\\right\\} \\cdot1\\left\\{ -1\\leq y_2\\leq1\\right\\} $$进行抽样,得到$\\left\\{ x_{t},t=1,2,...\\right\\} $,最终计算积分为:$$\\hat{I}=\\frac{\\pi}{90\\sqrt{2}}\\frac{1}{M}\\sum_{t=1}^{M}h\\left(x_{1t},x_{2t}\\right)$$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intgral1= 0.0246826829898\n", + "Intgral2= -0.000539202684445\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## MCMC_independent_integ.py\n", + "\n", + "import numpy as np\n", + "from numpy import random as nprd\n", + "\n", + "##设定参数\n", + "M = 10000\n", + "pai_cons = 90 * np.sqrt(2) / (2 * np.pi)\n", + "pai = lambda x: pai_cons * \\\n", + " np.exp(-90 * (x[0] - 0.5)**2 - 45 * (x[1] + 0.1)**2)\n", + "domain = lambda x: (x[0] >= -1) * (x[1] >= -1) * (x[0] <= 1) * (x[1] <= 1)\n", + "q = lambda y: 1 / (2 * np.pi) * np.exp(-1 * y[0]**2 / 2 - y[1]**2 / 2)\n", + "h = lambda x: domain(x)\n", + "h2 = lambda x: np.sin(10 * x[0])**2 + np.log(abs(1 + x[1] * 10))\n", + "\n", + "#从均匀分布中采样\n", + "def sample_q():\n", + " return (nprd.normal(), nprd.normal())\n", + "\n", + "## 计算积分\n", + "x = MH_independent(M, pai, q, sample_q, (0, 0))\n", + "## 第一个积分\n", + "H = list(map(h, x))\n", + "## 取h后面80%的样本\n", + "subH = H[int(M * 0.2):]\n", + "integral = np.pi / (90 * np.sqrt(2)) * np.mean(subH)\n", + "print(\"Intgral1=\", integral)\n", + "## 第二个积分\n", + "H2 = list(map(h2, x))\n", + "subH2 = H2[int(M * 0.2):]\n", + "integral2 = np.pi / (90 * np.sqrt(2)) * np.mean(subH2)\n", + "print(\"Intgral2=\", integral2)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "直方图:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "plt.hist(x_x,label=r'Histogram of x',color='blue', bins=50)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.hist(x_y,label=r'Histogram of y',color='blue', bins=50)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "诊断图:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "average_H2=[np.mean(H2[:i]) for i in range(len(H)) if i!=0]\n", + "plt.plot(index[1:],average_H2,label=r'MCMC Samples Mean',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.acorr(subH2,label=r'Auto corr of h2',color='blue', maxlags=2000)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 使用随机游走的Metropolis-Hastings算法从Beta分布中采样\n", + "为了从Beta分布:$$f\\left(x|\\alpha,\\beta\\right)=\\frac{1}{B\\left(\\alpha,\\beta\\right)}x^{\\alpha-1}\\left(1-x\\right)^{\\beta-1}$$中抽样,在这里使用随机游走的Metropolis-Hastings算法,每一步令$y_t=x_t+\\epsilon_t$,其中$\\epsilon_t\\sim N\\left(0,0.05^2\\right)$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from numpy import random as nprd\n", + "\n", + "##设定参数\n", + "M =20000\n", + "alpha=0.5\n", + "beta=0.5\n", + "domain=lambda x:(x>0)*(x<1)\n", + "pai=lambda x: (x**(alpha-1)*(1-x)**(beta-1) if domain(x)==1 else 0)\n", + "\n", + "#随机游走\n", + "def sample_q(x):\n", + " return x+0.05*nprd.normal()\n", + "\n", + "\n", + "##独立的MCMC算法,输入:\n", + "## N_samples : 抽样次数\n", + "## pai(x) : 目标密度函数\n", + "## q_sampler(x): 给定x,从q中抽样的函数\n", + "## x0 : 初始值\n", + "def MH_RW(N_samples, pai, q_sampler, x0):\n", + " X=[]\n", + " x=x0\n", + " for i in range(N_samples):\n", + " y=q_sampler(x)\n", + " rho=min(1,pai(y)/pai(x))\n", + " if nprd.uniform()<=rho:\n", + " X.append(y)\n", + " x=y\n", + " else:\n", + " X.append(x)\n", + " return X\n", + "\n", + "## 计算积分\n", + "x=MH_RW(M, pai, sample_q, 0.5)\n", + "## 取后面80%的样本\n", + "subx=x[int(M*0.2):]\n", + "\n", + "## 诊断图\n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "index=[i for i in range(len(x))]\n", + "plt.plot(index,x,label=r'MCMC Samples x',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy import special as scsp\n", + "index_den=np.linspace(0.005,0.995,500)\n", + "density=[1.0/scsp.beta(alpha,beta)*x**(alpha-1)*(1-x)**(beta-1) for x in index_den]\n", + "plt.hist(subx,label=r'Histogram of x',color='blue', bins=50,normed=1)\n", + "plt.plot(index_den,density,label=r'Beta Denstiy',color='red')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.acorr(subx,label=r'Auto corr of h2',color='blue', maxlags=2000)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 使用随机游走的Metropolis-Hastings算法计算积分\n", + "在这里,我们令$\\epsilon_{1,t}\\sim N\\left(0,0.3^{2}\\right)$,$\\epsilon_{2,t}\\sim N\\left(0,0.3^{2}\\right)$以及:$$y_{1t}=x_{1t}+\\epsilon_{1,t}$$ $$y_{2t}=x_{2t}+\\epsilon_{2,t}$$\n", + "对马尔可夫链进行更新。" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intgral1= 0.0246826829898\n", + "Intgral2= 0.000607347351824\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from numpy import random as nprd\n", + "\n", + "##设定参数\n", + "M =10000\n", + "pai=lambda x: np.exp(-90*(x[0]-0.5)**2-45*(x[1]+0.1)**2)\n", + "domain=lambda x:(x[0]>=-1)*(x[1]>=-1)*(x[0]<=1)*(x[1]<=1)\n", + "h=lambda x: domain(x)\n", + "h2=lambda x: np.sin(10*x[0])**2+np.log(abs(1+x[1]*10))\n", + "\n", + "#随机游走\n", + "def sample_q(x):\n", + " return (x[0]+0.2*nprd.normal(),x[1]+0.2*nprd.normal())\n", + "\n", + "\n", + "##独立的MCMC算法,输入:\n", + "## N_samples : 抽样次数\n", + "## pai(x) : 目标密度函数\n", + "## q_sampler(x): 给定x,从q中抽样的函数\n", + "## x0 : 初始值\n", + "def MH_RW(N_samples, pai, q_sampler, x0):\n", + " X=[]\n", + " x=x0\n", + " for i in range(N_samples):\n", + " y=q_sampler(x)\n", + " rho=min(1,pai(y)/pai(x))\n", + " if nprd.uniform()<=rho:\n", + " X.append(y)\n", + " x=y\n", + " else:\n", + " X.append(x)\n", + " return X\n", + "\n", + "## 计算积分\n", + "x=MH_RW(M, pai, sample_q, (0,0))\n", + "## 第一个积分\n", + "H=list(map(h,x))\n", + "## 取h后面80%的样本\n", + "subH=H[int(M*0.2):]\n", + "integral=np.pi/(90*np.sqrt(2))*np.mean(subH)\n", + "print(\"Intgral1=\",integral)\n", + "## 第二个积分\n", + "H2=list(map(h2,x))\n", + "subH2=H2[int(M*0.2):]\n", + "integral2=np.pi/(90*np.sqrt(2))*np.mean(subH2)\n", + "print(\"Intgral2=\",integral2)\n", + "\n", + "## 诊断图\n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "index=[i for i in range(len(H))]\n", + "x_x=[x[i][0] for i in range(len(H))]\n", + "x_y=[x[i][1] for i in range(len(H))]\n", + "plt.plot(index,x_x,label=r'MCMC Samples x',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.plot(index,x_y,label=r'MCMC Samples y',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "直方图" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(x_x,label=r'Histogram of x',color='blue', bins=50)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.hist(x_y,label=r'Histogram of y',color='blue', bins=50)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "诊断图" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "average_H2=[np.mean(H2[:i]) for i in range(len(H)) if i!=0]\n", + "plt.plot(index[1:],average_H2,label=r'MCMC Samples Mean',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.acorr(subH2,label=r'Auto corr of h2',color='blue', maxlags=2000)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Logit回归的MCMC算法\n", + "假设$d_{i}$为一个0/1变量,且给定自变量$w_{1i},w_{2i}$,$d_{i}=1$的概率为:$$P\\left(d_{i}=1|w_{1i},w_{2i},\\beta\\right)=\\frac{\\exp\\left\\{ \\beta_{0}+\\beta_{1}w_{1i}+\\beta_{2}w_{2i}\\right\\} }{1+\\exp\\left\\{ \\beta_{0}+\\beta_{1}w_{1i}+\\beta_{2}w_{2i}\\right\\} }=F\\left(\\beta_{0}+\\beta_{1}w_{1i}+\\beta_{2}w_{2i}\\right)$$\n", + "因而:$$P\\left(d_{i}||w_{1i},w_{2i},\\beta\\right)=\\left[F\\left(\\beta_{0}+\\beta_{1}w_{1i}+\\beta_{2}w_{2i}\\right)\\right]^{d_{i}}\\left[1-F\\left(\\beta_{0}+\\beta_{1}w_{1i}+\\beta_{2}w_{2i}\\right)\\right]^{1-d_{i}}$$现在给定一个先验分布,比如:$\\beta_{j}\\sim N\\left(0,1\\right),j=0,1,2$,那么$\\beta$的后验分布为:$$\\pi\\left(\\beta|d,w_{1},w_{2}\\right)\t\\propto\\prod_{i=1}^{N}P\\left(d_{i}|w_{1i},w_{2i},\\beta\\right)\\cdot\\pi_{0}\\left(\\beta_{0}\\right)\\pi_{1}\\left(\\beta_{1}\\right)\\pi_{2}\\left(\\beta_{2}\\right) $$\n", + "接下来我们使用MCMC算法对以上后验分布进行采样。" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean beta0= 1.45208593007\n", + "Mean beta1= 0.993046102073\n", + "Mean beta2= -1.09819702089\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from numpy import random as nprd\n", + "\n", + "##设定参数\n", + "M =20000\n", + "#真值\n", + "beta_0=1\n", + "beta_1=1\n", + "beta_2=-1\n", + "#样本量\n", + "N=200\n", + "#Logistic函数\n", + "Logistic=lambda x: 1.0/(1+np.exp(-1*x))\n", + "\n", + "##产生数据\n", + "def gen_logit(N):\n", + " Data=[]\n", + " for n in range(N):\n", + " x1=nprd.normal()*1.414+1\n", + " x2=nprd.chisquare(2)\n", + " d_star=beta_0+beta_1*x1+beta_2*x2\n", + " p_star=Logistic(d_star)\n", + " d=(1 if nprd.uniform()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "index=[i for i in range(len(beta_post))]\n", + "plt.plot(index,beta0_post,label=r'Post samples of $\\beta_0$',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.plot(index,beta1_post,label=r'Post samples of $\\beta_1$',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.plot(index,beta2_post,label=r'Post samples of $\\beta_2$',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "收敛情况" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "average_beta0=[np.mean(beta0_post[:i]) for i in range(len(beta0_post)) if i!=0]\n", + "plt.plot(index[1:],average_beta0,label=r'MCMC Samples Mean of $\\beta_0$',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "average_beta1=[np.mean(beta1_post[:i]) for i in range(len(beta1_post)) if i!=0]\n", + "plt.plot(index[1:],average_beta1,label=r'MCMC Samples Mean of $\\beta_1$',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "average_beta2=[np.mean(beta2_post[:i]) for i in range(len(beta2_post)) if i!=0]\n", + "plt.plot(index[1:],average_beta2,label=r'MCMC Samples Mean of $\\beta_2$',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "自相关图" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.acorr(sub_beta0,label=r'Auto corr of $\\beta_0$',color='blue', maxlags=10000)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.acorr(sub_beta1,label=r'Auto corr of $\\beta_1$',color='blue', maxlags=10000)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "plt.acorr(sub_beta2,label=r'Auto corr of $\\beta_2$',color='blue', maxlags=10000)\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Anaconda", + "language": "python", + "name": "anaconda" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/notebook_python/Normal.ipynb b/notebook_python/Normal.ipynb index d53d618..7a6e759 100644 --- a/notebook_python/Normal.ipynb +++ b/notebook_python/Normal.ipynb @@ -17,21 +17,23 @@ "name": "stdout", "output_type": "stream", "text": [ - "P(|X|<1.65)= 0.8974\n", - "P(|X|<1.96)= 0.9472\n", - "P(|X|<2)= 0.9506\n", + "P(|X|<1.65)= 0.9064\n", + "P(|X|<1.96)= 0.9564\n", + "P(|X|<2)= 0.9604\n", "P(|X|<2.58)= 0.9906\n", - "P(|X|<3)= 0.9968\n" + "P(|X|<3)= 0.9984\n" ] }, { "data": { - "image/png": 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I4QYAMAjhBgAwCOEGADAI4QYAMAjhBgAwCOEGADAI4QYAMAjhBgAwCOEGADAI4QYAMIhl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\nYII=\n", + "image/png": 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uSXJ5Vf3fqvqRqjp0NQcEADhYrfhUZlU9PMkPJ/mxJO9P8mtZCrfLV2UyAICD3LqVbFRVb0ny2CR/kOT7uvuO6aY3VdXW1RoOAOBgtqJQS/Lb3f222YWqOqy77+7uTaswFwDAQW+lpz7/+zJr79qfgwAA8OXu94haVT0yyYYkh1fVE5PUdNMRSR60yrMBABzUdnfq89QsvYHguCSvnln/dJKXr9JMAABkN6HW3RcmubCq/mN3v3lOMwEAkN2f+nx+d/9hko1V9Z93vr27X73M3QAA2A92d+rzwdPvh6z2IAAAfLndnfr8ren3L89nHAAA7rPSL2X/n1V1RFUdWlVXVNXHqur5qz0cAMDBbKWfo/b07v5Ukmck2Z7k65L8/KpNBQDAikPtvi9e/94kb+zuT6zSPAAATFb6FVJ/XlU3JPlckp+sqvVJ/m31xgIAYEVH1Lp7c5JvTbKpu7+Q5F+TnLGagwEAHOxWeuozSR6X5DlV9YIkP5Dk6Xv7pFX1sKr6k6q6oaqur6pvraqjquryqrpp+n3kzPbnVtW2qrqxqk7d2+cFAFhLVvquzz9I8qtJvj3JN08/m/bheX8tyTu6+7FJviHJ9Uk2J7miu09McsV0PVV1UpIzkzw+yWlJXltVh+zDcwMArAkrfY3apiQndXfv6xNW1RFJvjNL3yGa7v58ks9X1RlJnjptdmGSK5O8LEunWC/q7ruT3FxV25KcnORd+zoLAMDIVnrq85okj9xPz/k1SXYk+d2qen9V/XZVPTjJI7r7jiSZfh8zbb8hyW0z998+rQEAHNBWekTt6CTXVdVVSe6+b7G7n7mXz/lNSX66u99TVb+W6TTnLtQya8se2auqs5OcnSSPfvSj92I0AIBxrDTUXrEfn3N7ku3d/Z7p+p9kKdTurKpju/uOqjo2yV0z2x8/c//jkty+3AN39wVJLkiSTZs27fNpWgCARVrpx3P8TZJbkhw6XX5vkvftzRN29z8lua2qHjMtnZLkuiSXJDlrWjsryVuny5ckObOqDquqE5KcmOSqvXluAIC1ZEVH1KrqRVk6pXhUkq/N0mvE/neWImtv/HSSN1TVA5J8OMmPZCkaL66qFya5Ncmzk6S7r62qi7MUc/ckOae7793L5wUAWDNWeurznCy90/I9SdLdN1XVMfd/l13r7g9k+Y/3WDb8untLki17+3wAAGvRSt/1eff0MRpJkqpal128oB8AgP1jpaH2N1X18iSHV9V3J/njJH++emMBALDSUNucpc8++2CS/5TkbUn+y2oNBQDACl+j1t1frKo/S/Jn3b1jdUcCACDZzRG1WvKKqvpYkhuS3FhVO6rql+YzHgDAwWt3pz5fmuQpSb65ux/e3Ucl+ZYkT6mqn1nt4QAADma7C7UXJHlud99830J3fzjJ86fbAABYJbsLtUO7+2M7L06vUzt0dUYCACDZfah9fi9vAwBgH+3uXZ/fUFWfWma9kjxwFeYBAGByv6HW3YfMaxAAAL7cSj/wFgCAORNqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAg1q36AHgQLdx86WLHgGANcoRNQCAQQk1AIBBCTUAgEEJNQCAQQk1AIBBCTUAgEEJNQCAQQk1AIBBCTUAgEEJNQCAQQk1AIBBCTUAgEEJNQCAQQk1AIBBCTUAgEEJNQCAQQk1AIBBCTUAgEEJNQCAQQk1AIBBCTUAgEEJNQCAQS0s1KrqkKp6f1X9xXT9qKq6vKpumn4fObPtuVW1rapurKpTFzUzAMA8LfKI2kuSXD9zfXOSK7r7xCRXTNdTVSclOTPJ45OcluS1VXXInGcFAJi7hYRaVR2X5PQkvz2zfEaSC6fLFyZ51sz6Rd19d3ffnGRbkpPnNCoAwMIs6ojaa5L8QpIvzqw9orvvSJLp9zHT+oYkt81st31a+wpVdXZVba2qrTt27NjvQwMAzNPcQ62qnpHkru6+eqV3WWatl9uwuy/o7k3dvWn9+vV7PSMAwAjWLeA5n5LkmVX1vUkemOSIqvrDJHdW1bHdfUdVHZvkrmn77UmOn7n/cUlun+vEAAALMPcjat19bncf190bs/Qmgb/q7ucnuSTJWdNmZyV563T5kiRnVtVhVXVCkhOTXDXnsQEA5m4RR9R25fwkF1fVC5PcmuTZSdLd11bVxUmuS3JPknO6+97FjQkAMB8LDbXuvjLJldPljyc5ZRfbbUmyZW6DAQAMwDcTAAAMSqgBAAxKqAEADEqoAQAMSqgBAAxKqAEADEqoAQAMSqgBAAxKqAEADGqkr5ACgLnZuPnSRY+wV245//RFj8AcOaIGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwqLmHWlUdX1V/XVXXV9W1VfWSaf2oqrq8qm6afh85c59zq2pbVd1YVafOe2YAgEVYxBG1e5L8bHc/LsmTk5xTVScl2Zzkiu4+MckV0/VMt52Z5PFJTkvy2qo6ZAFzAwDM1dxDrbvv6O73TZc/neT6JBuSnJHkwmmzC5M8a7p8RpKLuvvu7r45ybYkJ891aACABVjoa9SqamOSJyZ5T5JHdPcdyVLMJTlm2mxDkttm7rZ9WgMAOKAtLNSq6iFJ3pzkpd39qfvbdJm13sVjnl1VW6tq644dO/bHmAAAC7OQUKuqQ7MUaW/o7rdMy3dW1bHT7ccmuWta357k+Jm7H5fk9uUet7sv6O5N3b1p/fr1qzM8AMCcLOJdn5Xkd5Jc392vnrnpkiRnTZfPSvLWmfUzq+qwqjohyYlJrprXvAAAi7JuAc/5lCQ/lOSDVfWBae3lSc5PcnFVvTDJrUmenSTdfW1VXZzkuiy9Y/Sc7r537lMDAMzZ3EOtu/8uy7/uLElO2cV9tiTZsmpDAQAMyDcTAAAMSqgBAAxKqAEADEqoAQAMSqgBAAxKqAEADEqoAQAMSqgBAAxKqAEADGoRXyEFe2Xj5ksXPQIAzJUjagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDEmoAAIMSagAAgxJqAACDWrfoAQCAldu4+dJFj7BXbjn/9EWPsCY5ogYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMKh1ix6A+du4+dJFjwAArIBQAwBW3Vo9SHDL+acv9Pmd+gQAGJRQAwAYlFADABiUUAMAGJRQAwAYlFADABiUUAMAGNSaCbWqOq2qbqyqbVW1edHzAACstjXxgbdVdUiS/5Xku5NsT/Leqrqku69b5Fxr9cP7AIC1Ya0cUTs5ybbu/nB3fz7JRUnOWPBMAACraq2E2oYkt81c3z6tAQAcsNbEqc8ktcxaf8VGVWcnOXu6+pmqunFVpxrb0Uk+tugh1hD7a8/YX3vG/tpz9tmesb/2zIr3V71ylSf5kq9ebnGthNr2JMfPXD8uye07b9TdFyS5YF5Djayqtnb3pkXPsVbYX3vG/toz9tees8/2jP21Z9bS/lorpz7fm+TEqjqhqh6Q5Mwklyx4JgCAVbUmjqh19z1V9VNJ/k+SQ5K8vruvXfBYAACrak2EWpJ099uSvG3Rc6whTgHvGftrz9hfe8b+2nP22Z6xv/bMmtlf1f0Vr8kHAGAAa+U1agAABx2hdgCrql+pqn+sqg9U1WVV9ahFzzSyqnpVVd0w7bM/raqHLXqmkVXVs6vq2qr6YlWtiXdPLYKvv9szVfX6qrqrqq5Z9Cyjq6rjq+qvq+r66d/Flyx6ptFV1QOr6qqq+odpn/3yomfaHac+D2BVdUR3f2q6/OIkJ3X3jy94rGFV1dOT/NX05pVXJkl3v2zBYw2rqh6X5ItJfivJz3X31gWPNJzp6+8+lJmvv0vy3EV//d3Iquo7k3wmye939xMWPc/IqurYJMd29/uq6qFJrk7yLP987VpVVZIHd/dnqurQJH+X5CXd/e4Fj7ZLjqgdwO6LtMmDs8yHBPMl3X1Zd98zXX13lj6vj13o7uu7+2D+UOmV8PV3e6i735nkE4ueYy3o7ju6+33T5U8nuT6+ted+9ZLPTFcPnX6G/v9GoXaAq6otVXVbkucl+aVFz7OG/GiSty96CNY8X3/HXFTVxiRPTPKeBY8yvKo6pKo+kOSuJJd399D7TKitcVX1l1V1zTI/ZyRJd/9idx+f5A1Jfmqx0y7e7vbXtM0vJrknS/vsoLaS/cX9WtHX38G+qKqHJHlzkpfudCaFZXT3vd39jVk6a3JyVQ19in3NfI4ay+vup61w0z9KcmmS81ZxnOHtbn9V1VlJnpHklPYCzj3554vlrejr72BvTa+zenOSN3T3WxY9z1rS3Z+sqiuTnJZk2DevOKJ2AKuqE2euPjPJDYuaZS2oqtOSvCzJM7v7s4uehwOCr79j1UwvjP+dJNd396sXPc9aUFXr73tHf1UdnuRpGfz/G73r8wBWVW9O8pgsvTPvI0l+vLs/utipxlVV25IcluTj09K7vUt216rq+5P8RpL1ST6Z5APdfepChxpQVX1vktfkS19/t2WxE42tqt6Y5KlJjk5yZ5Lzuvt3FjrUoKrq25P8bZIPZum/80ny8umbfFhGVX19kguz9O/jVyW5uLv/22Knun9CDQBgUE59AgAMSqgBAAxKqAEADEqoAQAMSqgBAAxKqAHsRlUdX1U3V9VR0/Ujp+tfvejZgAObUAPYje6+Lcnrkpw/LZ2f5ILu/sjipgIOBj5HDWAFpq/quTrJ65O8KMkTu/vzi50KOND5rk+AFejuL1TVzyd5R5KnizRgHpz6BFi570lyR5InLHoQ4OAg1ABWoKq+Mcl3J3lykp+pqmMXOxFwMBBqALtRVZWlNxO8tLtvTfKqJL+62KmAg4FQA9i9FyW5tbsvn66/Nsljq+q7FjgTcBDwrk8AgEE5ogYAMCihBgAwKKEGADAooQYAMCihBgAwKKEGADAooQYAMCihBgAwqP8PsUfbsZoGHGIAAAAASUVORK5CYII=", "text/plain": [ - "" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -83,21 +85,23 @@ "output_type": "stream", "text": [ "X1,X2的协方差矩阵:\n", - " [[ 0.98665378 0.70444526]\n", - " [ 0.70444526 2.03890462]]\n", - "X1方差: 0.985667125823\n", - "X2方差: 2.03686571636\n", - "X1,X2相关系数: 0.496668259849\n" + " [[0.98689768 0.79191842]\n", + " [0.79191842 2.07261799]]\n", + "X1方差: 0.9859107810967768\n", + "X2方差: 2.070545376238102\n", + "X1,X2相关系数: 0.5537130391115133\n" ] }, { "data": { - "image/png": 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TMAiL0LZWYGC3vcHMS4hUU/BUuwRIrZBmnlwdexMptgghxSauwV2/Kd+QRJQXLamXzeXt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\nzgjptI9to2PAHAY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4xTSDBjh8DFMius25u4QpW5q9BCOV6NONPe79kCTnrmBs2ABcdRVw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\nACgRYQsAAKBEhC0AAIAS/X8x22bcv9VizwAAAABJRU5ErkJggg==\n", 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", "text/plain": [ - "" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -160,21 +164,23 @@ "output_type": "stream", "text": [ "X1,X2的协方差矩阵:\n", - " [[ 0.95536898 0.68892306]\n", - " [ 0.68892306 1.96590072]]\n", - "X1方差: 0.95441360962\n", - "X2方差: 1.96393481578\n", - "X1,X2相关系数: 0.502694769881\n" + " [[0.96330257 0.68609775]\n", + " [0.68609775 1.86384761]]\n", + "X1方差: 0.9623392702325657\n", + "X2方差: 1.8619837608073169\n", + "X1,X2相关系数: 0.5120347514948154\n" ] }, { "data": { - "image/png": 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0SVXFv+wyYMUKYNYsVSvszDOBcePqPpzaybJESAtAMUZIK2LblFknbrJ2Eybh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\nQmCC\n", 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", "text/plain": [ - "" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -232,9 +238,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Anaconda", "language": "python", - "name": "python3" + "name": "anaconda" }, "language_info": { "codemirror_mode": { @@ -246,7 +252,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.9.12" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/notebook_python/Numpy+Matplotlib+random.ipynb b/notebook_python/Numpy+Matplotlib+random.ipynb index 486f179..f414ac6 100644 --- a/notebook_python/Numpy+Matplotlib+random.ipynb +++ b/notebook_python/Numpy+Matplotlib+random.ipynb @@ -2,10 +2,7 @@ "cells": [ { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "# Python的安装\n", "由于我们会使用到一些Python的非标准库,比如NumPy, SciPy, Matplotlib等,在Windows系统上安装这些包比较繁琐,所以推荐直接安装Anaconda使用,下载地址:https://www.continuum.io/downloads 。对于Mac用户,可以安装Anaconda,也可以自行安装Python并使用pip安装所需要的包。Linux用户可以安装Anaconda,也可以使用apt-get, rpm等安装所需的包。\n", @@ -19,9 +16,6 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "collapsed": false, - "deletable": true, - "editable": true, "scrolled": false }, "outputs": [ @@ -51,10 +45,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "如果我们需要生成一个服从分布函数$F: R\\rightarrow [0,1]$的随机数,那么只要首先生成一个$(0,1)$的随机数$u$,并令$x=F^{-1}(u)$,那么新生成的$x$即服从$F$的分布。比如,指数分布的分布函数为$1-e^{-\\frac{1}{b}\\cdot x}$,其中b为一个参数,因而我们可以使用$x=-b\\cdot \\ln(u)$来生成服从指数分布的随机数。" ] @@ -62,11 +53,7 @@ { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -94,10 +81,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "我们可以使用经验分布函数(Empirical distribution function)与理论的分布函数比较,来判断我们生成的随机数是否满足某一分布。经验分布函数的定义为:$\\hat{F}(x)=\\frac{1}{N}\\cdot \\sum_{i=1}^N 1\\{X_i \\leq x\\}$,也就是给定一个$x$,其经验分布函数的值为样本中小于等于$x$的比例,比如:" ] @@ -105,11 +89,7 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -205,10 +185,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "# 使用NumPy\n", "虽然Python自带了一些基本的数学函数以及列表、元组等数据结构,然而并没有对向量运算的天然支持,因而我们需要NumPy这个包来支持Python中的向量运算。https://docs.scipy.org/doc/numpy-dev/user/quickstart.html 提供了一个简单的教程。\n", @@ -219,9 +196,6 @@ "cell_type": "code", "execution_count": 4, "metadata": { - "collapsed": false, - "deletable": true, - "editable": true, "scrolled": true }, "outputs": [ @@ -278,10 +252,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "下面展示如何使用NumPy操作矩阵:" ] @@ -289,11 +260,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -381,10 +348,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "此外,NumPy还支持很多常用函数的向量运算,比如:" ] @@ -392,11 +356,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -419,10 +379,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "最后,NumPy中的random模块也可以用来生成随机数:" ] @@ -430,11 +387,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -463,10 +416,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "使用NumPy,上面的指数分布的例子可以改写成如下更加简洁的方式:" ] @@ -474,11 +424,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -573,10 +519,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "# 使用matplotlib画图\n", "在Python中,可以方便的是用matplotlib画图。在使用前应该使用(sudo) pip install matplotlib进行安装,Python3可能需要使用pip3 install。matplotlib地址:http://matplotlib.org/2.0.0/index.html ,教程地址:http://www.labri.fr/perso/nrougier/teaching/matplotlib/ 。\n", @@ -587,9 +530,6 @@ "cell_type": "code", "execution_count": 9, "metadata": { - "collapsed": false, - "deletable": true, - "editable": true, "scrolled": false }, "outputs": [ @@ -621,10 +561,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "除此之外,matplotlib的图类型非常多,比如常见的直方图:" ] @@ -632,11 +569,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [ { "data": { @@ -660,10 +593,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "以及散点图:" ] @@ -671,11 +601,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false, - "deletable": true, - "editable": true - }, + "metadata": {}, "outputs": [ { "data": { @@ -701,10 +627,7 @@ }, { "cell_type": "markdown", - "metadata": { - "deletable": true, - "editable": true - }, + "metadata": {}, "source": [ "可以参考matplotlib的官方网站以及教程,组合使用这些图形可以画出各种符合自己要求的图像。" ] @@ -726,7 +649,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.8.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, @@ -747,5 +670,5 @@ } }, "nbformat": 4, - "nbformat_minor": 0 + "nbformat_minor": 1 } diff --git a/notebook_python/Poisson_Process.ipynb b/notebook_python/Poisson_Process.ipynb new file mode 100644 index 0000000..8203e84 --- /dev/null +++ b/notebook_python/Poisson_Process.ipynb @@ -0,0 +1,154 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 生成泊松过程\n", + "算法:首先生成一系列的指数分布,假设:$x_i\\sim E(0,1/\\lambda),i=0,1,...$,那么给定时间$t$,泊松分布可以由以下过程生成:$$ N(t)=\\arg \\min_t \\left\\{ \\sum _{i=0} ^{\\infty} x_i \\leq t \\right\\}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "\n", + "## 设定参数\n", + "b=1.0/100 #指数分布参数,一个小时平均到达100次\n", + "Nexp=2000 #生成足够多的指数分布\n", + "\n", + "## 生成N个x~F(x)=1-exp{-(1/b)*x}\n", + "X=-b*np.log(nprd.random(Nexp))\n", + "S=[]\n", + "s=0\n", + "# 产生累积和\n", + "for x in X:\n", + " s=s+x\n", + " S.append(s)\n", + "\n", + "## 给定一些时间点,比如从第一分钟到敌五分钟,在这些点上计算到达的个数\n", + "t=np.linspace(0.0,5.0/60,500) #0.1,0.3,...,9.9\n", + "N=np.zeros(len(t))\n", + "i=0\n", + "for tt in range(len(t)):\n", + " while t[tt]>=S[i]:\n", + " i=i+1\n", + " N[tt]=i\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## 导入matplotlib\n", + "import matplotlib.pyplot as plt \n", + "## 使图形直接插入到jupyter中\n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "\n", + "t_plot=[tt*60 for tt in t]\n", + "plt.plot(t_plot,N,label=r'$Poisson Process$',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 复合泊松过程\n", + "算法:给定$N(t)$为一个泊松过程,现在假设$Z_j\\sim N(0,1)$,那么复合泊松过程为:$$M(t)=\\sum _{j=1} ^{N(t)} Z_j$$" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# 生成一系列正态分布\n", + "Z=nprd.normal(0,1,int(N[-1]))\n", + "SZ=[]\n", + "s=0\n", + "for z in Z:\n", + " s=s+z\n", + " SZ.append(s)\n", + "\n", + "# 生成复合泊松过程\n", + "M=[]\n", + "for n in N:\n", + " if int(n)==0:\n", + " M.append(0)\n", + " else:\n", + " M.append(SZ[int(n)-1])\n", + "M=np.array(M)\n", + "\n", + "## 导入matplotlib\n", + "import matplotlib.pyplot as plt \n", + "## 使图形直接插入到jupyter中\n", + "%matplotlib inline\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "\n", + "t_plot=[tt*60 for tt in t]\n", + "plt.plot(t_plot,M,label=r'$Compound Poisson Process$',color='blue')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Anaconda", + "language": "python", + "name": "anaconda" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/notebook_python/Random_number.ipynb b/notebook_python/Random_number.ipynb new file mode 100644 index 0000000..c71c330 --- /dev/null +++ b/notebook_python/Random_number.ipynb @@ -0,0 +1,141 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "# 获取序贯的1000个均匀分布随机数\n", + "x = nprd.random(1000)\n", + "# 将1000个均匀分布随机数按照奇偶数分成两个序列x0 和x1\n", + "x0 = np.array([x[i] for i in range(1000) if i % 2 == 0])\n", + "x1 = np.array([x[i] for i in range(1000) if i % 2 == 1])\n", + "# 画图\n", + "import matplotlib.pyplot as plt\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (8.0, 5.0)\n", + "plt.scatter(x0, x1, color='blue') ## 画出散点图\n", + "plt.savefig(\"check_random_py.pdf\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.109375\n" + ] + }, + { + "data": { + "image/png": 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81kiRg9tdzd6z8MM1UVwkMvcKq0y+qfmG+fFZc5Oarp8EfATciCMwCLgCOMMYszSyjDTGXG+MuT5yzPRIhb8G+CfwfxElpRC4CXgPWAVMFpEVLshsO34a9pWILLGe6/chk9HEAvDTvfMjfrzHXg8HrZKD22HW2bD2BTjuPjjtbStQkIuUdDWMGeOjm2XqwIB/QbuRVgTF9a9Xe6gfnzU3cez649Ug/Lz40SLgpxZKIrLEeq6fNfhoZXPr3pWTRy0CgZOhRnZ9I/LWUSIT00TWvuyZGL60CJRweK/IewOtMvrhwyoP8f19dhinLAKeV9pOLH5UBPz0ACcii5+uI1H8NuytnDwuKALJeC89YfNHIq9mirzWvNqJgpQIB/JFpvUQeaWxyM5gKMJ+IRFFQOcaUJKWWB3KnHZAK5f+WufnGnB00iSX8a1z4PrXYd5l0LAzDH0HGh/ptUT+Z2+uFYq4XnM4+zNruKFSKzrXgKLEQaxzBTjdP2nn3AVQu2+DL/vR48TusrOFNf+EuT+3Zgw8a74qAdHS8AhraOHu1bDgF9YoiwATBB8jVQQUJUqCVnHWprj4svIMAyKw8i/w2Whocxac8T9H5wpwZH4Ar2lzBpw4FnJfg68e9VqahAiCg6OrkQWTFd+aLQOKV+Xp12Ag1eH3mAihfC9EYMmdVuXV6VIY8CKkpDmaZclIAAhJsKESjr0D8j+Fpb+1rCqtT/daorjw+3sIqgi4gkYbtBctz+jwu+ISuvsoxZYV4Nt/Qfcboe8T1tA4hykJMhSqYENgRRkcMB7eWwGfXALnLIYGHbyWKmb8/h6Cdg1ERaJ9PEEzKVeHV31dFfMNS3kmO6G6j8VFVn/2t/+CnvdC3ydjUgKqM+9HY/YvmR/AyTkIPCO1MQyeCkX7rbkJpLjSIXZ8lxJNo+z5QfAJqES8ww38vNg9fNDXQ5NcxKtySMryD1AcgaSn6LDI3GwrMt7yh+JKorrpfx2fFjgorHnBKt9V/6i0y47vQ6JplD2/urScHq5LUGYfDCpB6ONxA6/KQcs/OoLe5x5I+YsLYf4V8P0kOOGPccfKr868X3F7yWyETs9C6Du6Xg25U2DZ3dB2BDT5cVitHd+HRNOo6vyKafm6KyxeDcLPix8DCiUrYQpa4ypxWASCbjkJnPxFh0U+HmW1VFeMdSXLpLYQ7NtkBWaa0c8q+4ChFgElafG1FuwQXrVsg245CZT8xUUw/ypY/yqc9Agce7sr2YbWMTAa0ttYsxXOvQRWjoXjfue1RDHhZ6dBdRb0iEA6lMRBWBzCqrpf1d1Dr8YNBz0uQGDkF4GF18P3/4UT/+SaEgDhcAxMKO5Bp59Dpyz44iHYsdR22ZIVVQQ8IghBJmojGmUmMB/3WqjqflV3D7Oy4LHHYP/+8Ct6sRJ4BVgEPv81fPs89Pwd9Lzba4kCR8IzIPZ9Guq1gHlXQNEhe4VLUrRrwCMCZQatBjfN/l47ktXkDFTxHmZkQHq6VTbp6f41B3pBoLuKRGDZPbD6CTj6N3DC772WKJAk3L1RLxP6/xPmnAdfPwY97rJPuCRFJx1S4mLXLhg/3vp9zTXOV85BmyAnYcVlqfOTDnmB1wpdQqz4Eyy7F468zuqrNsZriZKbj34KP7wP566y5idIcnTSIZ/jB3Oo3TJMmgS//rXV4nXjgx40X4Nou0RiuS9+eI4Sxe2JlWxjzThLCeicDf2eUSXAQ0p8DDa1+wNIESyJ3UcjDO+Snagi4AJ+8AeoSYZ4Xgq3K+aw+BpUJJZnww/Pkd9wpUxyp8DCG6DtOVbIWxfCBivVU+JjcOeD860ojutfhU3/K90fzffMy3fJj0qI+gi4gB/8AWqSIZ5+Wz8PhQkS1d2XwiLYsgUadf1R+fHDc+Q3HC+TzbNg7qXQvD8MfhXqpDqUkRIt5XwM2qbB2n/Doptg5HJIqRfV98zLd8mPfjLqI6DY3m8b6H5gn7BxxlesXg2r04/xzcci6di+BN4/zep/Hvaxo1MJKwmw8V2YfQ4HjvkzLy0aw8iRMH26f78/Tn0fE/ERUIuAYnvr3o8ab9Bo1cpa9x7krRxJy561MHsEpDWD099TJcDPtBsBHS4kZdUf+OM9lwEdff3d8aM1VTu7FNsp6z/gx/6wIFA3Bdq19WeLJvQczIfZI615BE5/L5BT3yYdff5B3RRh1qN3addZHKgioNhOWce+6pxyVEFQYsWVZ6bogDUsbc86GPJmucltFB/TsBPm2NvolvoKGYWfeyJCkL9pjisCxpgXjDFbjDFfVrP/TmPM0sjypTGmyBiTGdm3zhjzRWRfUnb6B/nhgupHF1RUEJy8zqCXoV9xu1wd9/SWYmv+gK2fwMCXoNWpDmWkOMKxd0K95rC0crRHN57VQI/qiXe2omgXYAjQG/gyimPPAz4s838d0CLWPIMw+2C0M1EFbka2KKl4/U5eZyDLMI7ZB93G7XJ1fCbLxXdaMwmu/JtDGSiOs/JR6x5uer/c5mif1USeMa9nWiWB2QddmRYY6BylIvBf4Fdl/odWEXDjwXQaO2Vz8jr9XIbVEgBFIJDlWh1fP21VIJ/9n0hxsdfSBILc3ALJzs6R3FwfPQCF+0WmHiEyo2+5+5gMDa9QKAJAA2A7kFlm23fAYuBzYHS0+QVBEQjDRzTIL43vCYAiEBo2vCvy3xSRWecGcp57r8jOzhFAsrPd+wBEpXx8O95S6r6fHHP6Qf4uJ6II+MlZ8DxgrohsL7NtkIj0Bs4BbjTGDKnuZGPMaGPMImPMoq1btzota8KEIVJe0ML+hgH1d7CZgpUw9+fQpCcMmgh1Yh9RndC0ugFm7NgssrNz4p88KA6imrmw8xXW/Vx2LxQfjin9MHyX48FPikAWMLHsBhHZGFlvAaYCJ1d3soiME5G+ItK3ZcuWjgqqWCTrSxMtTlTagXZI8hsHtsLsn0BKOpz2NqQ2jiuZhKfVDSgdOmTw8suj6dDBvQ9AVMpHnRQ48U+w+xv49oWo0k12BdsXioAxpglwGvBmmW0NjTGNS34DZwFVjjyoSFFR1Tc12W+24i5OVNrVWWFifbaT/l0oOggfXwQHNlnDBBt2jDspL1rGYSIWi0rUykf786DlIPjyISjcV2u6bo5i8iXx9ilEu2C18jcBh4E84FrgeuD6MsdcDUyqcF5XYFlkWQHcG22eHTv2qbLvWvu0FTdJqL8xCh+BsunH+mwn9btQXCwy70qrH3ndK15Lk/Q45mvww2zrHn/1RK2HujmKySlIwEfA8RDDInJpFMe8CLxYYdta4MR48szMhHvvrdxq0klbFLuIJl6406FEy4ZyjvXZTup3YdUj8N1LcPxD0OnnXkuT9JSbRMhOWp8GLU+FVX+FI6+DlLRqD634rgbh/bBzzgKddEhRaqC6l23cOKsSzslxqLJf+pW17lV9ZDud3KlqaiyXjTNg9rnQcRQMmgTGeCKj4hKRCYno/zx0u9ZraWyl4jdIJx1SFIeobgIlP7QY3Jq8JGgKR7WTXu362ppSuNmJMOAFVQKSgbZnQ7PesGIsdLnaciQMCXZ+g3zhLKg4S9I5vthIdc55yTRiImgjFaq8Z4d2wpzzoU6a5RxYt2HSDvtLKoyBnvfAnjWw/lWvpbEVO79BqggkAUH7kPuJZKrwqyNo8SIq3bPiIssSsPc7GPx66QiBRIf9qSIREI64EDKOhZV/suaTUCqhikASELQPueIvAq8MLbsHNr0LfZ+CVoNLNyc67C9eRUIVCJcxdaDn3bDzC9gwzZUsa7LC+tFCqz4CSYBbfcmK4ju+nxzxGr8ejiz/EpSMSY+XeL3dSxQIIKH8lRjodCksfwBWPGzFGHDYP6RaP5Va9nmFWgQ8wo9aoaKEip1fwIJroMUp0Odx25MvG9wmlla+3QGI1MIQBXXqQo/fQv5nsPlDx7OryQrrRwutKgIeof32SllUMbSZQzvgowshrQkMfq3GMeR2EEs3gd2heZM1xHHMdL0a0tvByr84nlVN3Wl+7GrTrgGP8MPwM8U/+NFcGFiKi2BuNuxbD2fOhvS2jmfpWFAcn+cdKFLqwVE3WpMRFayEJj28lsg3hDKg0Ekn9ZUbblgUmHHPyo/UNGY9aOPZY6HStUURUEiphmX3wYo/Qr9nofv1Xkuj+IkD2+DNI6DLVXDyc15LYyuJBBQKZdfA9u3hMrsnk9m4pi6TMHen+NFcGEjy3rKUgG7XWmFlfYb253tM/RbQOdsKMX1we+3HJwmhVAQyM/3njJEIblWAflA4guZko/iI3Wtg/hWQ2ccaKujDyIHan+8Djr4VivbDt897LYlvCKWPQEpKuPpZ3fIn8EM/dU1DHXUYpFIthfvg45+BqWsFDUqp77VEgGUBGDNmEmPHZtGhQ4b25/uBpsdD69Nh9VNwzG3WiIIkJ5QWgbDhltnYyRb3gw8+iDGmdGnTpg0/+clPWL58eUzpXH311fTtG1c3WI389a9/Zfbs2ZW2G2N46qmnbM9PsRER+Ox6a7jgKROgYSevJSqlogXA7hEDyU7cXS1H3wr7ciHvjYTyd9OK6mReqggopdSkcNjxEDZp0oT58+czf/58HnvsMVavXs3w4cPZvj36vrr77ruPF198MX4hqqE6RWD+/PmMGjXK9vwUG1nzHKz7Dxz/ALQb4bU05bA7ZoCX+NG/Ie6ulnY/gYZd4OvE4kvU1m1rZ+XtZBex2kSSkHi87+3oNqhbty4DBgwAYMCAAXTu3JmBAwfy7rvvctlll0WVRrdu3eLLPE5K5FV8yrZP4fNboe05cNx9XktTiUSjF/oJP0ZEjLurpU4KHH0zLL4Nti+GzN5x5V9bt62d3a1OdhGrRaAWghYzOhri0Syd6DY48cQTAcjNzS3d9vzzz9OzZ0/q1atHp06d+Otf/1runKq6BtavX09WVhaZmZk0aNCAs88+m6+//rrcMfv37+euu+6iU6dO1KtXjy5dunD33XcD0LlzZ/Lz83nooYdKuy5KrAMlXQNl7/VTTz1F9+7dqVevHkceeST/+Mc/yuX14IMP0qJFC5YsWcKAAQNo0KABJ510Eh9//LEt5RZ2on6vDubDJ6MgvT2c8rIVU15xDD9aNxLqaun6C6jbKCGrQG3dtnZ+N53sItY3pxbCOJwtnofTiYdw/fr1AHTp0gWAv/3tb9xwww389Kc/Zdq0adxwww3cd999NfbRb9++nVNPPZWvv/6a5557jsmTJ7N3716GDRvG/v37ARARLrjgAp599lluvPFGpk+fzkMPPcS2bdsAmDp1Kk2aNOHaa68t7bro3bt8C6HkXt944z+5+eabOf/883n77bcZNWoUt99+O2PHji13/L59+7jqqqu47rrreP3116lXrx4XXngh+/bts638wkpU75UUw7wr4MBmK3JgvUzX5EtWQuffkNbEijb4/SQ4sMWRLAIzLFhEQrf06dNH7KKgQCQnx1rHss+J/NxMw24eeOABad68uRw+fFgOHz4sa9askWHDhkmvXr3kwIEDUlBQIA0bNpQHH3yw3Hn33XeftG7dWgoLC0VE5KqrrpKy9/d3v/udZGZmSn5+fum27du3S0ZGhjz11FMiIvLuu+8KIG+++Wa18jVv3lweeOCBStsBefLJJ6WgQOTZZ4ukbdt2cvXVV5c75oYbbpCMjAzZv39/6bUC8sEHH5Qes2TJEgFkxowZ0RXYklXWkoRE9fx+8UeRCYisfsY1uZKR3NwCyc7Okdzc2D8miZzrGjtXWc/Rir96LUnCAIskzjpTLQK14HbMaDusDH61VOTn55OamkpqaipHHnkkS5YsYcqUKdSrV4/58+ezd+9eRo0aRWFhYelyxhlnsHnzZvLy8qpM8/3332f48OFkZGSUntO4cWP69OnDokWLAPjwww/JzMzk/PPPj1v2jAwYOTKPTZs2VnIevOSSS9i1axdffPFF6bbU1FSGDh1a+r9HDyucaXXXofxIre/V5lnwxf3WjHJHauRAJ0kk7oEfYyZUcnhscgy0PNWKKRDCKLvRooqAz7CjT8mvgXeaNGnCwoULWbBgATk5ORw6dIjLLruM4uLiUjN9z549S5WF1NRUTj/9dKC8H0FZtm3bxiuvvFLunNTUVGbNmlV6Tn5+Pm3bJh5vftOmTQC0bt263PaS/2VHP2RkZFCnzo+vV1qaNenNgQMHEpYjqdm/CeZeCo2PgpPH2RY0yI8e8X6gJr+A2srMjz4FVSon3X4Fu1fDlo+8E8xjHB81YIx5AfgJsEVEjqti/1DgTeC7yKYpIvL7yL4RwONACvC8iIyteH7YsCNojl8D79StW7fU0a9///6kp6dz5ZVX8uqrr5KZafXxTps2rVJFC3D00UdXmWZJS/+++yp7jDdu3BiA5s2bl1biiVCiTGzZUr4/cfPmzaWyREuY501wjOJCSwk4vBvO+ABSG9mWtB894v1ATaMeaiszP46YqGqUwYaUs2h6OB2+eIaGrU/zSjRPcWP44IvAU8BLNRzzsYj8pOwGY0wK8DQwHMgDFhpj3hKRlU4JqrjL5Zdfzl/+8hf+8pe/8OGHH5Kens7GjRs599xzo07jzDPPZPLkyfTs2ZP09PRqj/nrX//KtGnTGDLkJ1VWwGlpaZVa6yVe6yWbO3ToQLt27Xj11Vc555xzSo+bPHkyGRkZHH/88VHL7YcojoHjiwdgyxwY+BI07Wlr0hrxL3aCWGZVKSe/vfctBtTdz+gzp1jzDySh46njioCIfGSM6RzHqScDa0RkLYAxZhJwAaCKQEgwxnDPPfeQnZ3N559/zoMPPsitt97K999/z5AhQyguLmb16tXMmjWLqVOnVpnGbbfdxssvv8wZZ5zBzTffTPv27dm8eTNz5szh1FNP5dJLL2X48OGcffbZXHbZZZx11v28/npvPv10E3XrfkROTg4AxxxzDO+88w4jRoygUaNGHH300UyaZFkUPv/cyqtOnTo8+OCDXHfddTRv3pzhw4czZ84cnn32Wf70pz9Rv37tYW3nzoUrr9RpqGNm43uw4k/Q7ZfQ5Qrbk/dj69XvhKXMxo7N4pmHc0lL+SOsexmOvsVrkdwnXi/DWBagM/BlNfuGAvnAMmAG0DOy/WKs7oCS464AnoomPztHDZTFj974QaFk1EBFCgsLpXv37nLWWWeJiMh//vMf6d27t9SvX1+aNm0qJ598sjz66KOlx1911VXSt2/fcmls2LBBrr76amnVqpWkpaVJp06dJDs7W7788svSY/bt2ye33367tGvXXurWTZOOHTvLPffcU7p/0aJF0r9/f2nQoIEAMmvWLCkosEYN/O1vT5bL78knn5Ru3bpJamqqdOnSRf7+979Hda2AwJOSkxNFgSXxqIFK7M0Tea2FyDvHixze57U0SliZ0U9k2nEixcUiktj33ou6ggRGDfhBEcgAGkV+jwS+ifweVYUi8GQNeYwGFgGLOnbsaGf5lpKTY5VYVB9yxREuuuiiUqUhaMT0cUhyRaC0rHYcFpk5WOSVhtZQL0Vxim/GWUMJt84XkcS+917UFYkoAp6HGBaRXWV+TzfGPGOMaYHlF3BEmUM7ABtrSGccMA6gb9++jowDUXOud+zYsYOPPvqI2bNnc/31wRwy5lcnTj9S4kPRL+0BTkr7GAa+bA31UhSn6JQFi38Da/4JLQYk9L0PWl3h+fBBY0wbY6wxQMaYk7FkygcWAt2NMV2MMWlAFvCWd5IGKEqUBzgdbnnOnDlcfvnlnHrqqdx+++3OZKJUwqsw2llZ8M7z73FSWolfQLa7AigJkZe3i4suepyLLno8OEMyUxtbsSm+nwSHdyX0vQ9aXeHG8MGJWH4ALYwxecADQCqAiDyH5QtwgzGmENgPZEXMHIXGmJuA97CGD74gIiuclleJD6e94H/605+ye/du+xNOYqIZwujV6IaMuhsZ2fRyqH8c9ElshjjFfcaMmcTUqb8GoEGD9OA4FXb7lRVcaN1E6H6d19K4hhujBi6tZf9TWMMLq9o3HZjuhFzJhtPj1oNmClOiq+Q9ua/FRTAvGwr3wamToW4DFzNX7GDs2Cz27dtf+tvP5OXtYsyYSYwdm0WH9v2g6fGw9kVVBBR/kkhl7nTLTvu/g0c0lbwn93XFH2HLbBjwIjQ51uXMFTvo0CGDKVNu9VqMqKgUGKnzFbD0Lti9Bhof6bF07uC5j4ASPYnMIeDXsMOKd/iyH3PzLPjiIetj3PUqr6XxLV6GRA5bOOZKoZA7XwoYWDfBU7ncRBWBGInXecoOp6tEKnNffvQVpSwHtlhdAo27Q79nHMsmDBWZlxP6+HEyoUSoNL1ygw7Q+nT47uWkmYhIuwZiJF4Tux2m+UTMtBrbXnEC254rKYb5V1khXofOsHUegYqEYV4BL8P7BjG0cMx0vhw+/QXkfwYt+nstjeOoIhAj8TpPee1M52Vse1VCwottz9WqR2HTu5YloNmJtshWHWGoyLwM7xuW0MI10vFnsOj/4Lv/qCKgVCbeVrnXznReKiI6wU54seW52vYpLLsHjvgZHOl8sKikqMiUxEjNgPYXwPpJ0OcfUCfVa4kcRX0EkgQvfQSi8W3wKnCNkhgJP1eHdsLcLGjQHvr/E6zYYooNhMEXwlO6XA4H82HTe15L4jiqCCiOU9YaUl1ln8iICCV4WIqfcHjuaNiXC6dMhLRmXosVKsLm1Oc6bc+Ges0tp8GQo4qA4ho1VfY6vDG5mDQJFk56ntRNr8IJf4SWA70WKXRUGhYXJ0lrWaiTCh2zYMObcKjAa2kcRX0EQoafHfNq6k/22odCcZfLzl3BLxreQmGL4dTtcZfX4oQSu3whwjDKIm66XA7fPA25U6DbNV5L4xhqEQgZfjaxayyDcJCwP0fhfhotvYS66RnUHfwSGP0MeU1Nrf4Sy8Ktt45MPstA8/7Q6EhYF+7uAX0DQ4aa2BWnqU7ZjFpBWHwbFKyAgf+B9DaOyalET03+BCWWhccfnx4YnwPbujOMsawCm2fBvg32CGcDtjtXi0jolj59+ohiLwUFIjk51tqN85KeJausxYdUd09zckTAWlfL96+JTEBk8Z2OyqjERm5ugWRn50hubvUvajTHxHKck2Rn5wgg2dk1PYxRUvCV9cx+9XjiadlEVe8asEjirDM9r7SdWFQRsJ+oPvI2npf0+FgRqI5alb4960QmNxWZ0U+k8KCrspXgh0oqiMRSbrZWwnFi+31+53iRmafak1YF4mksVXWOKgIuKwLJ2MpVi4DLxKgIeFnOUeVddFhk5iCRVxqL7P7WNdkqkmglFVZForbriqXcQllGyx8SmWBE9m6wPWm7GkuqCLisCGgrN/j4XkGJURHw8pmMKu9l91nm1e/+65pcVZFoJeWH1q4T1HZdblXuvlUidq6MdA88aXvSdn2LVBFwWRHwfSWi1IrvlbkwWQR+mG21puZf7apcTuDbiipKqpPfL9fla0VrWk+R/w3xWopqUUXAZUVACT6+V+Zs9hHw7HoPbBOZ0l7kraNEDu12OfOa8Uvl5ya+rmjF3/ek4OMxUvSykQ3frvZalCpJRBHQ4YNKJZIh7r+TMQ38WH6exJcQgQW/gINbYdAkR6cWrkg0w8f8HoLXiYh+FaMN+i1qYMlQxQ4d/Bds5OGX61HHCDOff8BrUewnXg3Cz4taBBIjFrO571vWLlJSFmPHWuX32GMJJBYGi8DXT1n9qqv+4WKmFtG0fP3c+hRxp/XudwuBn8jNLZC859rK/mmDvRalSkjAIqAhhpVKxDK1rE4x/CMlZfHznyeeVmERbNkCjbraY7VwPYTzjuWw+HZoNxKOvtXFjC1KWrw1xdn3+3TE0VxDEPIICx06ZMDAX8KKh2H/Zkhv7bVItmEsRSJc9O3bVxYtWuS1GEmBV3Mb+HFOhRKZRo6E6dMTk23jjK9YvRpWpx8TPAWrcB+82xcO7YCRy6B+K68lUhR72PkFTD8B+j0L3a+P6hS3vlXGmM9FpG885zruI2CMecEYs8UY82U1+7ONMcsjyzxjzIll9q0zxnxhjFlqjNGa3Yd4NX+AH+dUsLMsWrWCo44KaKjoxb+BXV/BKf9RJSCCG33xfuvvDyVNjoOMo2H9q1Gf4sdvVUXccBZ8ERhRw/7vgNNE5ATgD8C4CvtPF5Fe8Wo6YcWPDmnxEs+1+HlOBTte/Lop0K6tf6wdUbP+NVgzDo69E9oM81oa3+CGY6LfnR9DgTFwxMWwZTYc2BrVKXZ+q5z67jvuIyAiHxljOtewf16ZvwuADk7LFAbC1Dcfz7X4edriWHwsQsXe9fDpryCzH5z4R6+l8RXa3x8iOo6y/ATypsKRtX+E7PxWOfXd95uz4LXAjDL/BZhpjBEgR0QqWguSliBXNhX7zIJ8LVXhZyXFMYoLYV42SBEMmgh1Ur2WyFe44Zjod+dHN8jL28WYMZMYOzbLuSGITU+wpiZe/3pUioCdOPWt9E0cAWPM6ViKwG/LbB4kIr2Bc4AbjTFDajh/tDFmkTFm0dat0ZlsgoxXffN2UNF0HuRrCSNxmR+//CNs/cRyomrczTHZFKUmXOkeMQaO+ClsmQWH3e2bdepb6QtFwBhzAvA8cIGI5JdsF5GNkfUWYCpwcnVpiMg4EekrIn1btmzptMhKAvi5fz9ZqKmyj9nHYctHsOIP0OVK6JJtq5yKEgsVAyY5RvvzofgwbJrpbD4u4bkiYIzpCEwBrhCR1WW2NzTGNC75DZwFVDnyIBkIk3OgWgC8p2JlX/b5iklRO7jd6hJo2BX6PuWozH5FvfWrJ9aySbQsa4tMaNu9ajEQ6jWHvLcSS8cnOO4jYIyZCAwFWhhj8oAHgFQAEXkOuB9oDjxjjAEojIwQaA1MjWyrC/xXRN51Wl6/EmTnQD+O+U92KvY1Vny+onrGRODTX8L+H+Cs+ZDa2BFZ/U6JORpI+j76isRaNk6XpW3p16kL7c6FDdMs/5g6fnO3i5F4QxL6eQljiGE/hPKNVwbfz/TnR2wOMVwbcd3b1c9aIYRX/s0xuYKA30MVe0msZeN0Wdqa/vevWc//5jkJJeOHaYg1sqASNePGWa3GnJzYrBJqEYiDpV9Z617HeCtHdexcAe/1hVanwdDpYDzvZQwsrni6K/ZzeDe83gKOuhl6PxJ3MvF+VyuSSGTBgNszFDeJd+hKUg6nCyGlCt2o/WTMy4LUDBjwb1UCEkS7FgJKamNofQbkvQkn/c0aTRAHfhg+rYpAFWgLtmq0Qk9uSvwIBqXdQc+0L2Hou6GaeMUrNBBQgOlwPiz8P9j1NTSJz3rnh++qqvJVEITY0ErihGkkhhtkZcG7z79Bz7Rn4Ng7oN3ZXovke6LxUq/N012xH9tGD7Q/z1pvCPboAVUEqkDHuScHqvDFRkZKLmc3+QVk9oETHvZanEAQhvj/YRweadt9adABmvV2VRFwogGjXQNV4KSpRrsd/IMf+uYCQ0kI4eLDMGgSpKSpk1sUhMHsH0YfBlvvS4fz4YuH4MAWV2bbdGIouSoCLhPkeABhw62+uVAofysehq0fw8D/QOMjgXBWEHYThvj/YVBmKmLrfWl/PnzxIGx4B7pdY0+aNeBEA0YVAZfRVmiwsKMSD7zyt+Uj+PL30PkK6HJ56eYwVhBKZcKgzDhKs15WF8GGt1xRBCo2YEq+UZASd1e/+gi4jIbXDRZ2+BEE2ufkYP6PIYT7PV1uV6xObmHsa1YUjLGsAptmQuF+17P/saHRIjPeNFQRUJQasKMSD6zyJwKfXgsHNsOpk8qFEI6nUo/FQUuVBiVQtP8JFO2DLXNcz7rkGwXbtsebRq2KgDGmfryJK8lBmIfhBbYSt4NvnrGCpZw41hopUIZ4vK5jmRkuDN72ShLRaiik1IdN7k+H82NXQVFxvGlE4yOwyRizBVheZvlYROLWPpRwEfg+8JCSkH/DjmWw+HZoNxKO+XWl3fH4B8TS1xxN+jpqQfENddOtcNseKAJ2UKtFQESaASOAlyObLge+NMZMNMY0cVI4JRgEug88xMTt31C4F+ZeAvUyYcCLVYYQdjoITjTph81qoN0hAaftCCvC4J7vvJYkZqIaNSAi3wHfAW8CGGtu4HuBxwDn3SQVX1PTMLxQDJ0LKHGPUFl0M+xaDWd+APVb2i6XXYRt1IIOxww47c6Bxb+BTe9B9+u9liYm4ho+GJny8I/GmFU2y6OEDO028I644iR8NwHWjoeev4PWpzsil12EbVhb2BSbpKPxUdCws9U9EDBFIBpnwduMMcOMMa0qbK8HqCOhUiPabRAgdq+BhddDy0Fw/ANeS+M48ZjiEzXf13S+zjkQcIyxugd++ACKDtmSpFuO2NEMH2wD3AZ8boz5wRgz0xjzLDAXeN1R6ZTAk9Re90Gi6CDMzYI6qXDKf6FO+GONxeNjkKhfghN+Depb4CPajYDCPbBtni3JuTUfSq1vu4jcVfLbGNMUOB44GpgiIv9zTjRFUVxj6RjY/jkMngoNO3otjSvEY4pP1HzvhPlffQt8ROszwNSFjTOg9dCEk3MrEq2xuvvDRd++fWXRokVei6Eo8bP0K2vd6xhbHC6rSqNk2+VD36LBogvgqJuh7xP2yB8CgjI8saKcQZE7tLx/OhzaDiOXuZqtMeZzEekbz7kaWVBRfI4d5sGq0pg0Cf5wdy51Fl5jTaV60t8SF7YK/Ga6jlYePwxPjEbWir4FfpA7Fvz2fCRMuxGwczns22h70rt2weOPW4utfgMiErqlT58+UpGCApGcHGutKL5nySprEXue3arSKNhxWDa9NEiKJzUSKVidoMDVk52dI4BkZ+c4lkcsRCtPbm6BZGfnSG6udx+NeMrOD3LHgt+ej4TZvlRkAiJrXrA96ZwcESv2t/W7LMAiibPO9LzSdmKpShEoKcCKhacovqSMIuAYS++1PljfTXA0G79VTH6TpyaCJGu8BO0aa5W3uFhkSluRj39ue94FBSKPPWYtFRsGiSgCjvsIGGNeAH4CbBGR46rYb4DHgZHAPuBqEVkc2Tcisi8FeF5ExkaTZ1U+AjX1s2rQm2CQVPepjI+AI/zwPnx4FnT7BfR/3pk8FCWEXH75OCZMuI7s7JzqnTMX/ALy3oCLtrg2AsfvPgIvYoUoro5zgO6RZTTwLIAxJgV4OrK/B3CpMaZHvELUNIzNrSEaSmLofbKJ/ZusqYWbHAt91DlQUWIhqsmz2o6AQzsgf2HU6Xo5eZvjqoqIfGSM6VzDIRcAL0VMGwuMMU2NMW2BzsAaEVkLYIyZFDl2pd0yujVEw06SqnUcIYj3yXcUF1lKwOE9cOYsqNvAa4kUJTBEPSKjzTBrjo5NM6DlwKjS9jIKqx9GDbQHcsv8z4tsq2677QQx6E0yto6DeJ98x5d/gM2zoN/T0CRuA1vM+NUz3K9yxUIYriEoRD0io14mZJ4Mm6IPteNlFFY/hA8zVWyTGrZXnYgxo7G6FujYMfwBUbR1rMTMDx/Cl7+HLldC16tdzdqvQW/8KlcshOEagkJMAaHanAkrx8LhXZBae+slrrlBbMIPFoE84Igy/zsAG2vYXiUiMk5E+opI35Yt45sxzcs+mljR1rESE/t/gHmXQcbR0Pdp17OPql/VA/wqVyyE4RpK8Nq6UVv+Mc0H0eZMkCLYPMdmKe3HD4rAW8CVxmIAUCAim4CFQHdjTBdjTBqQFTnWMZLR3O41QVK+AktxEcy73GqZnPoqpDZyXQS/TqjjV7liIQzXUILXwZBszb/FQEipD5s/SDwth3G8a8AYMxEYCrQwxuQBDwCpACLyHDAda+jgGqzhg9dE9hUaY24C3sMaPviCiKxwUlY1t7uPTlPsAl/+wfoY9X8emlYawasoviHeuRjsCqts61wQKfWh5anWbIQ+R+caUDwlGUc/RIVdcQRK4gV0uQIGvGhNlaq4gsb8d4+oxvZ7wYqxsOxuuPAHSG/taFZ+jyOg2EispnS/m97V18FB9m2EuZdZ8QL6PaNKgMt4beZOJnzrJ9HmTGu9+UNv5agFVQQCRqx+DOr3kKQUF8K8S6FwL5z6GtRt6LVEoaQm5zLfVk4hxLd+Es16Q2pT3/sJ+GH4oBIDsfoxqN9DkrL8ftjyEQz8j2URUByhpqF7JZVT2NEukBqokwKth/reT0AtAj4hWhN+rKb0MJne/d7N4Rs2TIeVf4Zuv4Iul3stjSNDwrweZlaCtvq1C6RWWp8Je9fBnrVeS1ItahGoATcd2dR7vna0jKJgzzqYfzk06wV9HvdaGsCZgDd+CaKTLK3+mrDV0z6MlPgJ/PAhHNnVW1mqQRWBGnCz4klmE360CldQy8g1hbLoIHwyCqQ44heQ7mBm0eNERaGVj39QZahqSrtM/nwJHdLbWn4CR/7Sa7GqRBWBGnCz4vEyvKTXRKtwBbWMXFMoF/8Gti+CwVOhcTcHM4oNJyoKrXySl6D4JJSzWv3fmfDDTBDx5egdVQRqIKgVT9AIaks/Wly5vu8mwDfPwrF3whE/dTAjRfGWWLqFvFQaylmtDqXBupeh4Etoeny153gVV0UVAcVzwq5wOX59O1fAZ6Oh5WA48U8OZqQo3hNLt5CXviTlrFZ7z7DWP3xQoyLglR+UjhqwiUQ92oPoER9EmUPH4V3wyc8gtTGc+grUUd1eCTexxAwoO6rD05EmDTtCoyNrHUbo1VTE+tWwiUQ1uSB6xAdR5lAhAgt+AbvXwBnvQ3pbryVSFF9RtlVeEoYYPBpp0uZMWPdfK9hXNQq7V9ZRVQRsItF+4OrO93Ms/rD37fuerx6F3NfhpEesoCWKolSL5yNN2pwJa3Ish94WA7yRoRp00iGfM26c1erOydFWd1JR26RDm2fDh2dCh4vg1Mm+9ERWFKUMB7bAlNbQ6y/Q4y7bk09k0iG1CPgcbXUrldi3AeZeAo2PggEvqBKgKEGgfivIOMYK/e2AIpAI6izoE6pzvAtTiGDFBooOWUGDCvfB4CmWk6CiKMGg1RDY+gkUF3ktSTlUEfAJOkugEhWLfwPb5luWAJ1MSLEZv8zhEFpaDoHDBbBzudeSlEMVAZ/g1bARv+GHIYl+kKFKvh0P3zxjBQ3qOMpraZQQEtQJhOJVYFxXfFoNsdZbPnInvyhRRcAnaBeAhR8sI36QoRL5C2HhDdBmWGiDBmlr1HuCOptivAqM64pPwyOgYRfY6i9FQJ0FFV9QMkxy5EjvLSO+c9A8sAU+vgjS28CgSaENGuSXGQWTkbKheINY9vEODYz3vIRCF7caAhvf8de8AyISuqVPnz6iBIucHBGw1slGQYF13QUFZTYuWWUtRYdE/neayKT6IvmLvRLRFXJzCyQ7O0dycwtqPzjJcLpssrNzBJDs7CR8AeMgofJa8y+RCYjsXGGrTMAiibPODGfTQgkcXrbCvQ7aVGOExiV3wZY5MPAlyDwJCM7sa7GiMwpWj9PWEs+D7QSMhMqr1WnWestH0KSHjVIlQLwahJ8XtQgosZCoNaLKFn2i5y9ZJTJ/ttVyWHhLueO19eYv3LBkqLUkRBQXi0xpJ/LJpbYmi98tAsaYEcDjQArwvIiMrbD/TiA78rcucCzQUkS2G2PWAbuBIqBQ4oycpCjVkag1ItE5F6qKL75922Y4uJXM1mdA70fK7dPWm79ww7dBrSUhwhjLT2DLHN/4CTiuCBhjUoCngeFAHrDQGPOWiKwsOUZE/gb8LXL8ecBvRGR7mWROF5FtTsuqJCeJTvRhe7fG/k38kL8WMGQOmwx1Usvt1krBX6hipsRMq9Pg+0mwZy007ua1NK4MHzwZWCMia0XkEDAJuKCG4y8FJroglxJCvIgBYOvQz6KD8NFFfLb+Ez7bvRfqNbchUcVJYpkWVwk/UQ2DtSmegF3fOzcUgfZAbpn/eZFtlTDGNABGAK+X2SzATGPM58YYbQYpNeLLGADRImLFCshfYMUkr9vQa4kcReMGKGEkqtgEGcdCvRZW90AClHzv/u//AFLirs/dUASq6gCpbsrD84C5FboFBolIb+Ac4EZjzJAqMzFmtDFmkTFm0datWxOTuAp8G21OKUegIzR+/QSsHQ/H3Q/1WsadTFAqWDeDuSRSJm6WZ1DunVI9UQVlMgZaDk7YIpCVBdnZMGECQIvMuBOK18sw2gUYCLxX5v/dwN3VHDsVuKyGtB4E7qgtz+pGDSTi3R2tZ3miHuRKkrJhhsh/64jMuVCkuEjGjx8v48ePjyupoIwqcNMTPpEycbM8g3LvFBtY9Zg1KmjP+oSSKalzIGWxxFtPx3ti1BlYDolrgS5AGrAM6FnFcU2A7UDDMtsaAo3L/J4HjKgtz+oUgUSGiUVbwSdzYBw3CZXCtXOVyOQMkXdOFDm0W0QkIUVAh5pVJpEycbM89d4lEfmLLUVg7cu2JEcCwwcdVwQs+RgJrAa+Be6NbLseuL7MMVcDkyqc1zWiOCwDVpScW9vihEUgWkJVQfmY0ChcB/JF3jxS5PVWInu+L92ciCKgKErNRKtwOaqYFRVaDYAFv7IluUQUAVfiCIjIdGB6hW3PVfj/IvBihW1rgRPtkiPRYWJ+yUPx4XwA8VB8GD4ZBfvWw5mzoGFHryVSlKQg2tgPjsaIqJMCLQbBtnn2phsHGmJY8TXVhf8NvMIlAotugc0fwoB/Q8tTvJZIUZKGaGM/OB4jouUpsHwGHNoJaU2dySMKdBpixdcEejhgTXz9OKx5Do69C7pe6bU0ikfoKAFviDb2g+MxIlpEGgDbFjiTfpSoIqD4mkAPB6yOvLdh8W3Q4ULo9WevpVE8xM0hlH4nKZWi5ieDSfG8e0C7BnyK1zPi+YXAdwFUZPsSmHcpZPaBU14Go7p4MqPhiX/EjTkbfEdqI2h6Imyd66kY+hXyKaE1iScz+zbAnPMgrRmc9hbUbeC1RIrHaHjiH4kqEE+cxGttcMVK0fIUyP8Uigudy6MWVBGoBa8iCobSJJ7MFO61lIDDBXDaNEhv67VEUZOUJlslIeJ5ZqJRiuJ9FuPtgnGl66bFKdb3YecXzuVRC9o1UAuJTjEbL6EziSczxYXwSRbsXAZD3oJmto2IdYWkNNkqCeHUMxNvuvF2wbjSdVMyYmjbPMg8ybl8akAVgVoIxXj1JMdTfwsR+PwW2DgN+j4N7c91WYDEqfgxzMvbxZgxkxg7NktN2gpQ+ZlwqgKNN914p+52ZcrvBh0hvR1snQdH3ehsXtWgXQO1YOsUs4oneOpvsepv8M2z1jDBo/7PAwESp6LJVj3d/YGfumwqPhNO+T6E0qfCGKt7wMORA6oIKKHHM3+LdZNg6W+h4yWhGibopFNXmLG74vaTQubmM+EnBSgWapS75Smwdx3s2+i6XKBdA6FHhyF65G+x5SNYcJU11ejAF0M1TNAVc2kIsbvf3E9DD918JkrKce7cj/j442cCYx2o8f63GGStt82Hjj9zWTJVBEKPV86OSc3OFTDnAmjUBYa8ASn1vZZI8QF2V9zJqpCNHZvF3LkfsW7dBMaMGRKYMqjx/jfrZX0nts71RBEITzPFQbwaQmgHOgzRZfbmwuwRUDcdhr4L9TK9lijp8KvpOJT92x7QoUMGH3/8TOC6p2q8/ylpkNnPMz+BpFUEYqncgxzcR50da8ZWJe/gdph1NhzeZSkBjTrbkKgSK37qO1ecIZRKVctTYMdiKNzvetZJqwjEUrlrqzq82KbkFe63Agbt+RaGvAnNTrBFviDgtxa4OjMqgaTFKdbU5Ns/dz3rpFUEYqncq2pVu9ldEOSuCb9ji5JXXAhzsyxHn1MmQOuhdokXCPzWAvdja9FvypLXxFIeSVN2LQZa6wrdA258/5PWWTBRT3I3nfDU4c85Eh5RIAKfXQcb3oK+T0HHi22TzSnsDgjkJ+91v6LRGcsTS3kkTdnVbwmNu1dSBNz4/ietIpAobkYc1OiGPkUEltwBa1+A4+73LCpYrNj9YQ2y97pbURJVWSpPLOWRVGXXchBseMf6thgDuPT9F5HQLX369BFFcZwvHxaZgMjCm0WKi21Nevz48TJ+/Hhb0ywhN7dAsrNzJDe3wJH0g0R2do4Akp2d47UoviJsz0hgruebcdY3pWB1zKcCiyTOOjNpfQT8jPoEBIBvnoVl90Lny6HPY6XaexCoqg89afphK6COhVXjN7+PRAnM9bQYYK3zP3U1W+0a8CF29glpZEEHWPdfWHgjtD8PBrwQiqiBSdMPW4Egd2s4SdjM8YG5noweULch5H8GXS53LVtXvmDGmBHGmK+NMWuMMWOq2D/UGFNgjFkaWe6P9twwYudwxSDHQKgOTy0muW/A/Cuh1RAY9ArUSfVACPvRlrFSFr+MvLDLUuWX66mVOimQ2ddSBNzM1ukMjDEpwNPAOUAP4FJjTI8qDv1YRHpFlt/HeG6osDMIUBhjILit3JQoHnvXvAtzL7Fe1NPetqIH1kCQzO2B+VAqSUVgTPp20vxk2LEEig66lqUbFoGTgTUislZEDgGTgAtcOFfB3ciCbrXU3VZuJk2CiY/Pot6nF0KTnnD6u5DauNbz3P6IBUnxUJRoSEpLVfOTofgQ7FzuWpZuKALtgdwy//Mi2yoy0BizzBgzwxjTM8ZzFR/gVkvd7bDJ2WfNZeY952EyusHpMyGtaVTnVfyIOV1R33LLeCZMuI5bbhnvSPqKdySrkpeUlqrm/a21i90DbigCVblTS4X/i4FOInIi8CTwRgznWgcaM9oYs8gYs2jr1q3xyqokQJC6IaK2XuQvpOHCkaRmtCNl2PtQv0XUeVT8iMVrIUjWSkD5EaesS/ps+ZAGHaB+G9jm3sgBN0YN5AFHlPnfAdhY9gAR2VXm93RjzDPGmBbRnFvmvHHAOIC+fftWqSwozpJwlD4HqG7URFQjM/IXwYfDIa05nPEBpLdJSJZ4PZej9eh/4olraNAgPbnMqEmCU17vyTpaxNcYY3UPbHfPIuCGIrAQ6G6M6QJsALKAy8oeYIxpA2wWETHGnIxlqcgHdtZ2rqLURHUVfq3RuvIXwYfDKExpyu1v/4o7+zShQ8PEZIl3qFq0lYAOhbNwK1qgmzh1bwMzrC7JKEg9kSa73mLDd9/Tvksnx/NzvGtARAqBm4D3gFXAZBFZYYy53hhzfeSwi4EvjTHLgCeArEiwpCrPdVpmJX78Fgypuu6KGv0MSi0Bzbh9+nU88a97XHH4q85Mm5T9pAmQlJ7mcaLPVmy41ZXyzCu7AfjP4/9wNJ8SXAkoJCLTgekVtj1X5vdTwFPRnqv4F79NkBRzd0WpEtAUhs3mzj7NyD/Q3JUWU1kz7bBhaY7nF1a0las4hR1dKdFYrK78zW0w7zFu+Hnto5PsQCMLKrYS6AmSti2AWSMgrRkMmw0NO9GhoXt9p2UrsPffn+JKnmFEu0gUp7BDyYxGmWjf+Qj48hiaHF4Wdz6xoIqAYit+dBiMii0fwexzoX5rOPMDaOh8v1xFtAILDmH0Q1Bqx453NGplovnJsOm9cjMROkXwg6QrSqL88L5lCWjQAYZ95IkSoAQL9UNQ4iVqv4zm/eHAZti33nGZVBFQkpsN02D2T6Bxdxg2Bxq081oiJQCENeKdxhXwjkpl3/xka+1CYCFVBJTkZf2r8PFF0PR4OHMW1G9V7aFefyBry99r+ZKNsHrbq6XDOyqVfdMToE49VxQB9RFwGJ0G2KesGQefXQ8tT4HT3oG0JjUe7nXgldry91o+JRzoiAvvqFT2KWnQ7CRXIgyqIuAwfhtOl/SIwMqxsOweaHcunDoZ6jao9TSvP5C15e+1fEo4CJrDqt1Om146gVZZ9s1Phm+fh+JCqONcda1dAw4TpPj7YaDGgEYisOROSwnodBkMmRqVEgDem4Jry99r+RQlHhLt0rK7K8N3XSMt+kPRPihY6Wg2qgg4jBMz5fktep+fqHYGxOLD8Om18NWjcNRNcMp/oE6qJzI6hYjQpUsXjDGsWbPGa3GqZfXq1Tz44IPs3LnTa1EcRf02aifRitdup03fOYGWOgw62z2gikAAcWu63yBSpQXm8B6Ycz6sHQ/HPwh9ngATvkd//vz5rFu3DoBJPn44Vq9ezUMPPeSoIuCHSth3rUsbsLtcE6147baEOWlZi6vsGnWDtExVBJTKaHdD9VSywOz/Ad4/DX74H5z8Tzj+AceDc3jFxIkTadiwIf3792fixIlei+Mp0VbCTioMvmtd2oDdyk2Qu7RifXbiKjtjILOvFfrcSUQkdEufPn0kGgoKRHJyrLVSO4Err4KvRN7oLDKpgUjeO45mlZtbINnZOZKba0/hjB8/XsaPHx/18YWFhdK6dWu59NJLJScnRwBZtmxZuWPmzJkjQ4cOlYYNG0pGRoacdtppsnjx4tL969atk6ysLGnevLmkp6fL8ccfLxMmTCjdv3//frnzzjulQ4cOkpaWJieccIK88075cu3UqZPcfvvt8vvf/15at24tDRs2lMsuu0x27twpIiKzZs0SoNzSqVMnERHZuHGjXHPNNdKlSxepX7++dO/eXe699145ePBgafrfffedAPLKK6/I6NGjJSMjQ9q3by/333+/FBUVlR6Xm1sgI0feJ8OGjZAmTZpIw4YNpV+/fjJz5szSY/Lz8+XIIwcLIHXq1JWBAwfKggULoi7zZMTu5zzIZGdb71l2dk5Ux8dddkvuFvlvXZHC/TUeBiySOOtMzyttJ5ZoFYGcHKsEcqK7j0lPoMpr88cir2aKvNZSZNtnjmcX60ehNmJVBGbOnCmAvPnmm5Kfny+pqaly442/Kf3wzJo1S+rWrSvDhw+X1157TWbMmCG/+93v5O233xYRkc2bN0vbtm2lW7duMn78eHn//fflsccek7Fjx5bmce6550rLli3lmWeekffee0+uvfZaSUlJkSVLlpQe06lTJ2nXrp0MGTJE3nrrLcnJyZEmTZrIxRdfLCIiBQUF8sgjjwggU6ZMkfnz55cqI8uXL5fbb79dpk6dKrNnz5Zx48ZJu3btZPTo0aXplygCnTp1kttuu01mzpwpv/3tb0uVgxJWrVoljRo1kj59+sjEiRNl5syZ8qc//Un+9a9/iYjIgQMH5KSTTpKOHTvJwIFXy0svvS7nn3++NGrUSDZt2hTz/Uo2VCFwsQy+f01kAiJbP63xMFUE4lQEAtfC9ZjAlNe3/xaZmCby1lEiu9a4kqXXFoFrrrlGmjZtWtp6HjlypDRs2LxUOendu59kZnaU9et3Vnn+mDFjpEGDBrJx48Yq97///vsCyOzZs8ttHzx4cGklL2IpAs2aNZPdu3eXbnv55ZfFGCMrV64UEZG3335bAPnuu+9qvKbDhw/LhAkTpF69eqXXVaIIXHHFFeWOPfHEE+WSSy4p/Z+VlSXt27eXffv2VZn2888/L6mpqbJ69epy+XXt2lXuuOOOGuVS7Fd8lRrY/Z2lCKx+psbDElEEktpHwAmP/jDj+/KSYlj2O1hwFbQcBGfNh8bdXMnay77OgwcPMnXqVC688ELS0qzpiy+99FL27s3nrLPu4v77z2Px4kVs376eu+9+pco0PvzwQ0aMGEHbtm2r3P/+++/Tpk0bBg0aRGFhYely5plnsmhR+f7L4cOH06hRo9L/F110ESLCe+99xOWXj2Pbtn1V5iEiPPbYY/To0YP09HRSU1PJzs7m4MGDrF9fPt76WWedVe5/jx49yMvLK3c9l1xyCenp6dVeT58+fejSpUvptQCcdtppla6nKvzgjOglYfR/8C0NO1kOg9s/dywLDSikhIPCfTD/Ksh9Dbr9Evo9E7rhgdUxY8YMdu7cyciRI0s98YcOHUq9evU4+uj9NGhQBAiDB4+u9sOdn59Pv379qs1j27Zt/PDDD6SmVi7TlJSUcv9btSofqjk9PZ1GjRrx73+/x9KlU8nLu7HKPB577DHuuOMOxowZw2mnnUazZs1YuHAhN954IwcOHCh3bNOmTcv9T0tLK3dMfn5+tUpNyfUsWLCgyuvp1q125THZIzkGLfBQoDEGMvuoIqAoNbIvDz660HpRTnoUjvlNaEcGVEXJCIFRo0ZV2jd58mT+/Oc/U6dOHUaNOq5Ki0Ve3i527ixi7drqZznLzMykffv2vPHGG7XKs2XLlnL/9+/fz549e7jqqrPp2XMEw4Y1Zc6cpyud9+qrrzJq1Cgefvjh0m0rV8YXSKV58+Zs2rSp2v2ZmZn07duXZ599ttK+evXq1Zq+RnJU4iHuyIWZfWDVI1B0AFLq2y6XKgJKsNnyMXxyMRTuhyFvQofzvJbIVfbs2cO0adO49NJLGV0hhvWSJUu47bbbmD9/Pv379+ell17ipptuwlRQksaMmUR+/jr+979NbN68mdatW1fK58wzz+TRRx+lUaNGHHPMMTXK9L///Y89e/aUdg9MmTIFYwxnnTWYX/+6BzNnzgSo1Mrfv39/pUp4woQJ0RVEFfJOnjyZhx9+mPr1K384zzzzTGbOnEnHjh0rWTCiQVvESjzEbUnK7ANSCDu/gObVW+7iRRUBJZiIwDfPwue3QqOucOZsaHKs11K5zptvvsm+ffu49dZb6d+/f7l9gwYN4uGHH2bixImMHTuWYcOGcc455zB69GgaNmzI/Pnz6du3L2PHZnHgwG7mzv07gwcP5t577+WII45g1apV7N27l7vuuovhw4dz9tlnM3z4cH7729/Ss2dPdu3axdKlSzlw4AB//vOfS/NNT0/n3HPP5c4772TTpk3ceeedXHjhhfTo0QOAo48+GoCcnByysrJo0KABxx9/PMOHD+eJJ56gf//+dOvWjQkTJsQdIfGBBx6gX79+DBkyhNtvv53mzZuzZMkSmjdvzi9+8QuuvPJKnnvuOYYOHcodd9xB165dyc/P57PPPqNNmzb85je/ifOOuIeXcfH9it/LJG5LUmYfa739c0cUAc89/J1Yoh01oASUwgMiC661PGlnnStysGpP+Hiw0/s/kbSiHTVw7rnnSvfu3avN74YbbpCmTZvKgQMHZPbs2TJ48GBJT0+XJk2ayNChQ8sN/Vu3bp38/Oc/l6ZNm0p6erqccMIJMnHixNL9Bw4ckPvvv1+6desmqamp0rp1azn77LNl2rRppceUDOt74IEHpFWrVtKgQQPJysqSHTt2lJP7kUcekY4dO0pKSkppHIHdu3fL1VdfLc2aNZNmzZrJtddeWzrC4IsvvhARkXnzlgsg48e/Ui69q666Siq+98uWLZNzzjlHGjVqJI0aNZKTTz5Z3n///dL9O3fulFtuuUU6dOggqamp0r59e7nwwgvlk08+qbXc/YB67lcmtGVSXCzyajORBb+s9hB0+KAqAknD7rUiM/paSsDS34kUF9V+TgzY+SFJJK1Yhw8mmp9dlAQUcopErzFM49+DeC1OyxzEMomaD4aJTD+p2t2JKALaNaAEh7y3Yf6VgMDgqXDET6M/NUqToZ1OYG47lCWDA1ui1xgmb/8g+ik4Xf5BLJOoyewDX/0dig5CSu0OrTERrwYRywKMAL4G1gBjqtifDSyPLPOAE8vsWwd8ASwlSo1HLQIho+iQyOK7LCvA9JNEdn8bcxJBa0nGYxHwA4laBLTF6D1OlpGWfwJ8P9n6Bm5bWOXuaOvHqhbHLQLGmBTgaWA4kAcsNMa8JSJlxwV9B5wmIjuMMecA44Cynk+ni8g2p2UNM7t2WbMVZmX5OCBQVexdD/OyYesncOR10OexuIbPaEvSHUpmP4wXbTF6j5P3QMs/Aco5DPa1NWk3ugZOBtaIyFoAY8wk4AKgVBEQkXlljl8AdHBBrqSiZOpisKIDBoL1r8Gnv7KGzQx8Gbpkx51Uoh+gZDC7+4GwlbPfvdirImz3IDQ07AJpzRwJLORGiOH2QG6Z/3mRbdVxLTCjzH8BZhpjPjfGBKUK8x2Bmrq4cC98+kv4ZBRkHAXnLE1ICbCDIE+XGiTCVs52T9vrBmG7B0Gh1rDVxkCz3uUUgV27YNw4a50IbigCVYV4kyoPNOZ0LEXgt2U2DxKR3sA5wI3GmCHVnDvaGLPIGLNo69aticocOnw/T0AJ2z+Hd/vAty9Aj7th+CeuzRegBIMgxfnXmPzeEqRnJSqlMbMPFHxhOQzyo6V3UoJ6phuKQB5wRJn/HYCNFQ8yxpwAPA9cICL5JdtFZGNkvQWYitXVUAkRGScifUWkb8uWLW0UX3GFokOw/AF4rz8c3gNnvA+9/pQ08wVA+Y/WwYNFrFq1KRAfMLcJUitbW9feEqRnpSalseTbkM+xUHwYCr4E7LP0uuEjsBDobozpAmwAsoDLyh5gjOkITAGuEJHVZbY3BOqIyO7I77OA37sgs+ImO7+wJgzasQQ6XwF9H7f6wpKMsk5a7dvns2XLasaMmVTJtyGI/c52on3YSrQE6Vmpyo+p5F3ft28/U6f+mlYN/sjfhwLbF0Nmn1JLb6I4bhEQkULgJuA9YBUwWURWGGOuN8ZcHznsfqA58IwxZqkxpmQe0NbAJ8aYZcBnwDsi8q7TMisuUVwIK8bCu32tiYMGT4FTXkpKJQDKtwi6dm1Fq1ZHVfkBC1IrxwmC1MoOkmk6jFT1rATpnpRtHGRn53DbfTdBalPbHQZdCSgkItOB6RW2PVfm9y+BX1Zx3lrgRMcFVKIm3mGIlc7LXwSf/Qp2LIUjfgb9noX6yd2lU7ZFUK9eCsce27bKyi5IrZxkR4ed+o8g3ZOy73rpt2B1b9sVATd8BJQQEa9zSsl5r03aC5/fBjP7w4HNMPh1GPwaedvq1ailB0mLd5ogtYiTHbucBfX5t48gOXBW+a5n9oGdyy2/KpvQEMM2E9jAPVFS4pQSq3NKVhYckfIOZ2feBF+vs4ID9RoLaU2B2rX0IGnxilKCXQF09Pm3j8AHNcrsA8WHoGAFZJ5kS5KqCNhMIAP3xEBczim7vyVj8a85J30apB4Lgz6CVoPLHVKbuVvN4UqQsNuhU59/pZRmkcp/x1LbFAHtGrCZQAXucZrCfbD8fninJ2yZDSf9zQoOVEEJgOrN3SUmUUDN4RHUTOx/7Hbo9Ko7SJ81H9KoG9RtaCkCNqEWAZuxazhHoJFiWDcRlt0D+9ZDp8ssJaBBu5iTUpNoZbRM/E9YWvD6rPmQOinQ9ATYudS2JFURCDGe+CtsngNLbre8WpudBKf8B1pVGQwyKsLyQbUTJ8ok2WMT2E3g+6EjhO39C81z3qwXrPsviFihhxNEuwZCjF3hJ6OiYCXMuQA+GAoHtsDA/8CIRQkpAaAe8lXhRJk4GZtAzcvBJWzvX2hicDTrBYcLYO/3tiSnFoEQE6+Hf0zs+ga+fMjSTus2ghP/DEffCnXTHcxUsRsnW35qXlbcorYWf2gsHE17WesdS6FR54STU0UgxDjqr7BnHXz5B/ju31CnHvS4C469E+o1dyhDxUmcNGWH5uOr+J7alE63u2wc64poehyYOpGAbD9NODntGlBio2AVzL8a3u4O6ybAUTfD+WutmACqBChVEDbzcjRod4g3+CFYUNl771hXRN0G0Pgo2xwG1SKgREf+QljxZ8h7A1Lqw1E3wrF3QIMOXkumKL5Du0O8wQ9OmmXvvaPWsGa9YNt8W5JSRUCpnuIi2PAmfP0EbJljTXbR8144+pZQzwsQGs9ixXaifTa0OyR5qTg/gGOKSbNe8P0kOLQj4YnakrZrYNcuGDfOWisVOLQTVj0Cb3eDj38Ge9dZcQB++j2c+IdQKwFgr2exlyZiNU/bT7TPRjJ2hygWrt37UofBZQknlbQWgbCHAo4ZEcvM9O0/4fvJULTPGvrX++/Q/nyokzyPip2tOS9NxGqeth9t6Su+oVkva71jKbQemlBSyfN1r4ArQ+s8IqZAQge2wbqXLQWgYKU1BLBzNnS/wbY41kHDTnOelxWHG3knWzeKH/qglWBj2zuT3hrqt4GdahGImzCHAq7V2lG4D/LeshSATe+BFELzk+Hkf0KnSyC1saPyJVPl4WXF4UbeanVQlNiw9Z1p1suWOQeSVhEIM1VaOwr3ww//g/WvQd5UKNxjefwfcxt0uRyaHu+afFp5VE+JkjR4cAr16qV4LU6tqKlcUX4kmkaOre9Ms17w1aNQdCihZFQRCCGl1o5DBbBuBuRNgY3ToXCv5fnf6RLofLnlA2Dc9xeN5UVIJusB/KgktW//J449tq3X4tSKmsoV5UeiaeTY+s40PRGKD8OuVQklo4pAgKi1718Edi63Kv2NM2DbPJAiqN8aOl8BR1xkOZXUSXVEvmgr7VhehGSzHpQoR127+t8aoPibZFKi/XKtrlvIyjoMJkDSKAKezMRnM5X6/kVg9xrYMhs2z7KWAz9YBzTrBcfeBe3PheYDrKkrHcaJSjvZTM8lStKLL77otShKwEkmJTqaa3VDWXDdQta4O6SkqyIQLWEYLpg16iCt6ixhRN8F8MkC2PoJ7N9g7azfxmrttzkL2o2A9MTMyvG8NE5U2mp6VpT4SCYlOpprDaViVCcFmp6gikC0uD1cMGELROE+2PmFdYN3LIEdS8jYsZSfNjgEK4EGHaHlqdD6dEsBaHyULfNSlxDPS6OVtqL4h2R6H6O51tAqRs16wfevJJSEK4qAMWYE8DiQAjwvImMr7DeR/SOBfcDVIrI4mnOjxe3hglFZIETg4DbY8y3s+goKVnF4+yr2bVpFRp21GIqt41KbWjf76F9DiwHQvD80aOeo/KF9aRRFSUqCrBjVaKFt1gvW5CSUvuOKgDEmBXgaGA7kAQuNMW+JyMoyh50DdI8s/YFngf5RnutLsi4RUtnDxedthi0bYV8e7NsQWa+HPWutpXDPjyfVSWP34e58sKgXXU+6jD5nnmQF9WnQ0dbWfjQE+aUJE35xglIsgnI/giJnGHGi7Gu00JY4DCaAGxaBk4E1IrIWwBgzCbgAy8BdwgXASyIiwAJjTFNjTFugcxTnJoYISLEVVKf4MMhha118GIoORJb9kfU+q+I+vMdaF+624vIf2lFmnQ8HtpBxcCvXNDoAsyrkl5oBDY6ARl0ts36jrtbS+Gho1IW6e+qyYz90vwjQ97dKkukjF8p+zQATlPsRFDnDiOtO002PBwwgcafvhiLQHsgt8z8Pq9Vf2zHtozy3MjuWwORGP/4XwSok+fG3FFtD6xIoPABMXWvmp7RmkNYU6rWEJsdB/VbWUq8lNGgP6R2sdS1R+8Ic8dAukukjp100/iIo9yMocoYR152m6zaEjKOAr+NO31iNcOcwxowCzhaRX0b+XwGcLCI3lznmHeDPIvJJ5P8HwF1A19rOLZPGaKCkpI4DvnTuqhSgBbDNm6xTUq2wiPvyoOiwNzK4godlnDRoGbuDlrPzHC0iccWHd8MikAccUeZ/B2BjlMekRXEuACIyDhgHYIxZJCJ9ExNbqQktY+fRMnYeLWN30HJ2HmPMonjPdSO+7EKguzGmizEmDcgC3qpwzFvAlcZiAFAgIpuiPFdRFEVRlDhx3CIgIoXGmJuA97CGAL4gIiuMMddH9j8HTMcaOrgGa/jgNTWd67TMiqIoipIsuBJHQESmY1X2Zbc9V+a3ADdGe24UjItVRiVmtIydR8vYebSM3UHL2XniLmPHnQUVRVEURfEv7s9BqyiKoiiKbwisImCMGWGM+doYs8YYM6aK/cYY80Rk/3JjTG8v5AwyUZRxdqRslxtj5hljTvRCzqBTWzmXOa6fMabIGHOxm/KFgWjK2Bgz1Biz1Bizwhgzx20Zg04U34smxpi3jTHLImV8jRdyBhljzAvGmC3GmCqHx8dd74lI4BYsx8FvseIMpAHLgB4VjhkJzMAKuTQA+NRruYO0RFnGpwDNIr/P0TJ2ppzLHPchlr/MxV7LHaQlyme5KVbE0o6R/628ljtIS5RlfA/wl8jvlsB2IM1r2YO0AEOA3sCX1eyPq94LqkWgNGyxiBwCSkIPl6U0bLGILABKwhYr0VFrGYvIPBHZEfm7ACvOgxIb0TzLADcDrwNb3BQuJERTxpcBU0RkPYCIaDnHRjRlLEDjyCRzjbAUgUJ3xQw2IvIRVrlVR1z1XlAVgepCEsd6jFI9sZbftViaqBIbtZazMaY9cCHwHEo8RPMsHwU0M8bMNsZ8boy50jXpwkE0ZfwUcCxWULgvgFtFpNgd8ZKGuOo9V4YPOkBVU/FVHP4QzTFK9URdfsaY07EUgVMdlSicRFPOjwG/FZEi4/IslCEhmjKuC/QBzgTSgfnGmAUistpp4UJCNGV8NrAUOAPoBvzPGPOxiOxyWLZkIq56L6iKQCJhi5XoiKr8jDEnAM8D54hIvkuyhYloyrkvMCmiBLQARhpjCkXkDVckDD7Rfi+2icheYK8x5iPgREAVgeiIpoyvAcaK1Zm9xhjzHXAM8Jk7IiYFcdV7Qe0aSCRssRIdtZaxMaYjMAW4QltOcVNrOYtIFxHpLCKdgdeA/1MlICai+V68CQw2xtQ1xjTAmuV0lctyBployng9lsUFY0xr4GhgratShp+46r1AWgQkgbDFSnREWcb3A82BZyKt1ULRiUViIspyVhIgmjIWkVXGmHeB5UAx8LyI6AymURLlc/wH4EVjzBdYJuzfiojOSBgDxpiJwFCghTEmD3gASIXE6j2NLKgoiqIoSUxQuwYURVEURbEBVQQURVEUJYlRRUBRFEVRkhhVBBRFURQliVFFQFEURVGSGFUEFEVRFCWJUUVAURRFUZIYVQQURUkIY8wNxphnyvz/ozHmP17KpChK9GhAIUVREiISkvdr4Hisiaf+AJwiIvs9FUxRlKhQRUBRlIQxxvwVaAicAwwXkW89FklRlChRRUBRlIQxxhyDNUnPBSJScbIZRVF8jPoIKIpiB/cDWwnoRGaKksyoIqAoSkIYY24H6gM/B271WBxFUWJEtXdFUeLGGHMG1lSnA0VktzEmwxjTS0SWeiyaoihRohYBRVHiwhjTEXgeGCUiuyObHwd+7ZlQiqLEjDoLKoqiKEoSoxYBRVEURUliVBFQFEVRlCRGFQFFURRFSWJUEVAURVGUJEYVAUVRFEVJYlQRUBRFUZQkRhUBRVEURUliVBFQFEVRlCTm/wGi7mTTH7ujFwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#!/usr/bin/python3\n", + "## file: rejection_beta.py\n", + "import numpy as np\n", + "import numpy.random as nprd\n", + "import scipy.special as scisp\n", + "# 设定参数\n", + "alpha = 4\n", + "beta = 2\n", + "# beta分布密度函数\n", + "f=lambda x: 1/scisp.beta(alpha,beta)* \\\n", + " x**(alpha-1) * (1-x)**(beta-1)\n", + "# 计算密度函数最大值\n", + "M = f((1 - alpha) / (2 - alpha - beta))\n", + "print(M)\n", + "# 随机抽两个均匀分布,一个为(0,1),一个为(0,M),抽500个\n", + "N = 500\n", + "x = nprd.random(N)\n", + "u = nprd.random(N) * M\n", + "# 挑出使得u=0:\n", + " nprd.seed(seed)\n", + " def a(self, t,x):\n", + " return 0\n", + " def b(self, t,x):\n", + " return 1\n", + " def simulate(self):\n", + " \"\"\"\n", + " 返回结果为一个列表,第一个元素为时间划分,第二个元素开始为模拟的路径\n", + " \"\"\"\n", + " Paths=[]\n", + " t=self.np.array([j*self.Delta for j in range(self.N)])\n", + " Paths.append(t)\n", + " sqrtDelta=self.np.sqrt(self.Delta)\n", + " for i in range(self.num_path):\n", + " path=self.np.zeros(self.N)\n", + " dB=self.nprd.normal(0,sqrtDelta,self.N)\n", + " for j in range(self.N):\n", + " if j==0:\n", + " path[0]=self.x0\n", + " else:\n", + " path[j]=path[j-1]+self.a(t[j-1],path[j-1])*self.Delta+self.b(t[j-1],path[j-1])*dB[j-1]\n", + " Paths.append(path)\n", + " return Paths" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## 模拟Ornstein-Uhlenbeck模型\n", + "approximater=EulerApproximation(5,N=5000, x0=0, num_path=5)\n", + "mu=-0.2\n", + "sigma=1.414\n", + "def a(t,x):\n", + " return mu*x\n", + "def b(t,x):\n", + " return sigma\n", + "approximater.a=a\n", + "approximater.b=b\n", + "paths=approximater.simulate()\n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (8.0, 8.0)\n", + "fig=plt.figure()\n", + "for i in range(4):\n", + " plt.plot(paths[0],paths[i+1])\n", + "plt.show() ## 画图\n", + "fig.savefig(\"Ornstein-Uhlenbeck.eps\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "## 模拟随机的Logistic增长模型\n", + "approximater=EulerApproximation(100,N=5000, x0=2, num_path=5)\n", + "K=100\n", + "sigma=0.05\n", + "r=0.1\n", + "def a(t,x):\n", + " return r*(K-x)/K*x\n", + "def b(t,x):\n", + " return sigma*x\n", + "approximater.a=a\n", + "approximater.b=b\n", + "paths=approximater.simulate()\n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (8.0, 8.0)\n", + "fig=plt.figure()\n", + "for i in range(4):\n", + " plt.plot(paths[0],paths[i+1])\n", + "plt.show() ## 画图\n", + "fig.savefig(\"Stochastic_Logistic.eps\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Anaconda", + "language": "python", + "name": "anaconda" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebook_python/Stochastic_integral.ipynb b/notebook_python/Stochastic_integral.ipynb new file mode 100644 index 0000000..779d174 --- /dev/null +++ b/notebook_python/Stochastic_integral.ipynb @@ -0,0 +1,242 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 随机积分\n", + "\n", + "我们画出了如下随机积分的路径:$$I_{T}\\left(\\omega\\right)=\\int_{0}^{T}B_{t}\\left(\\omega\\right)dB_{t}\\left(\\omega\\right)\\approx\\sum_{i=1}^{n}B_{t_{i-1}}\\left(B_{t_{i}}-B_{t_{i-1}}\\right)$$" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "nprd.seed(19880505)\n", + "N_path=20\n", + "t=np.linspace(0.0,100,1000)\n", + "IBDB=[]\n", + "epsilon=np.sqrt(t[1]-t[0])\n", + "for i in range(N_path):\n", + " increment=nprd.normal(0,epsilon,len(t))\n", + " Bt=np.cumsum(increment)\n", + " Bt=Bt[0:-1]\n", + " increment=increment[1:]\n", + " BdB=Bt*increment\n", + " IBDB.append(np.cumsum(BdB))\n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig=plt.figure()\n", + "for b in IBDB:\n", + " plt.plot(t[1:],b, linewidth=0.5)\n", + "\n", + "plt.show() ## 画图\n", + "fig.savefig(\"sto_integral_BdB.eps\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "由于$$\\int_{0}^{T}B_{t}\\left(\\omega\\right)dB_{t}\\left(\\omega\\right)=\\frac{1}{2}B_{T}^{2}-\\frac{1}{2}T$$我们继续画出$\\frac{1}{2}B_{T}^{2}-\\frac{1}{2}T$的图像,是一样的" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "nprd.seed(19880505)\n", + "N_path=20\n", + "t=np.linspace(0.0,100,1000)\n", + "IBDB=[]\n", + "epsilon=np.sqrt(t[1]-t[0])\n", + "for i in range(N_path):\n", + " increment=nprd.normal(0,epsilon,len(t))\n", + " Bt=np.cumsum(increment)\n", + " IBDB.append(.5*(Bt**2-t))\n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (15.0, 8.0)\n", + "fig=plt.figure()\n", + "for b in IBDB:\n", + " plt.plot(t,b, linewidth=0.5)\n", + "\n", + "plt.show() ## 画图" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 简单过程" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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PlGF44xWoxsZG50GXCVZrgIoFq7YabBsV7tnSLBErjMtw0dDUhN4ZA9TO4N577025vaysjLPOOivpqjshhBAikyRWoBQhtIaV3zjN2W0rUB0GKMtCtemVsjsIRbFpfyw7gsv00NDUtMMVqMG4ULEsJtyJRYsWMW3atIE+DSGEEKLXWgOUF6UiaGDdurVA6h4oF07L0oQJE7j99tsBpwJlWMmN4KkWJTYNFwY2kyZNImKHMU0X9fX1vWoiT3reQViBkgDVibKyMu677z6WLUvz7KlCCCFEP4kHKDwowti6dQhPuV3oSOtiw4FAAJdS2GjKy8s5+2xnioIGy8bVpopUV1cXv53jzee8b/0vR+19Jv7alRQUFESH8NzUNTZ2q4l84cKFvPvuuxx22GEce+yxSY8NxgA1+Gpig8jcuXOZO3fuQJ+GEEII0WutPVBuUM4QXnNzM+Fw2LlCzmpTgVIKG8jNzaWgoAClFAFtY6IJh8O43W4Aamtr48f5PXksWf8xn3zzKpdNmkzh6FFstKpwmW7qGxoYYXVegXryySf57nc7vhZtMAYoqUAJIYQQWSxegVKeeBM5QFVVFcrlRoeTr8JzKYWtIScnB8MwKC4ujj9+yimnxCtPiQHK4/ISijhBLRKJUFhY6AzhGS7q6uu7PMfzzjuv08cHY4CSCpQQQgiRxWpqagAwlBdFHTqaoCorKxnnMtFtrsJzATY6Pnl0cXEx1dXVKJefb9eP4YWzf8vsUUH8W7ZwRF4erzU24nH7CEVaMIDmYLB1CM90Jw31dSR+VWAHBmOAkgqUEEIIMUh9/vnnXHXVVXz88cc9PvbNN99kyJAhvPzyywAow4OhQvEK1LZt21JehedJqEAB+P1+AC5/9WZ+997d/Hd7A2W/+DlbJk1iH7+zj8flBCiXUuQVFVFYWOhchWe4qe9GBaorgzFASQVKCCGEGKROO+00VqxYweOPP866det6dDn/H/7wB7Zv3x6/r3CjVDipAsXoMdD2KrxoE3ksQIXDTpN5g23TYNvUhUI0er1UuV3kmU4d5pijjmVdxSrC1hZGjh3jDOFZzlV43alAuVwuIpGO55kajAFKKlBCCCHEINTQ0MCKFSsAZ+3VzZs39+j42LExuTmFzjxQ0fuVlZUol9muApXYRA6tPVSJWlpaqG5pITc651NZ8RD+Pv8+Vi5bTnFZWTxAdWcILxwOdxqeYvsMNlKBEkIIIQahtoGpoqKC0aNHd/v42LIsh+/1XfyeXHJzyzBbmuOPx4fwrPZN5FbCEF6qANXc3ExVIMA4w6kM5ebk4/aYYDWDy0VBQUG3h/DWrFnT5XvpbNHigSIVKCGEEGIQ2rRpU9L97gSNGNu248N3PrefWSdOoLjoUwyjdbiusrLSmcYgofpTX18fbyLPy8sDOq5AbW9qIi9agfJ7c3F5nGqWcnuiFagQu42YRmlkd6rdwzo81wULFnT5foIp1uEbaBKghBBCiEGobYA688wzu31sdXV1fKkVr8/HL//3l9i2jVLOAJ5GRytQ7qSZyGtqauLTGMSmL/jtb3/b7vkbGhr42/3341bOUrk+bw4uj4EOh1EuF4WFhdja5q8v/oLPN73Kdk/HlbPPPvssfvvI8l25/bDLuf2wK/jzLpP484iR/HJo+aAMUDKEJ4QQQgxCiUN4J8+6mJZQEy/fv4ijzt+ry2O3bdsWvx3rZdKWTTTvYNkWXy1ewjvvv8/khHBSU1ODO9pEHgtQF1xwAevWreMPf/hDfL9HH3006fV8bj8uj0k4EkFFh/BiuhrCq6ysjN/ee/gUFn7zGsu1F9PIZW3lN9wxchQt2yrRWqNib2AQkApUN1x55ZUsXbqUCy64gFNOOSW+vampiXPPPZcLL7yQhx9+mIULF3LPPfcM4JkKIYTIFolX0LWEA7yw8CHc/u4dW1VVFb8d62VKClBWmPXrNnDZlVfw/jvvxPdtDVCtFSiPx8ONN97It7/97fh+Dz30UNLreb1eDEOhw5F4BSqmqybyxDX1Ro8ez+bmeiqa62ly+dgUiRBBo7UedH1QEqC6UF1djVKKyZMn8/e//z3psaeffppTTjmFe++9l2effZaZM2fy7rvvDtCZCiGEyCSWZfGf//yHDz74IOXj1dXV7baFunk1WmIo8Xq9ANi2xjCceZ0idgSX6SaiYWvCUGFNTQ0uFLbWSTOQA/h8vvjtUaNGOeeTW86Vk4/AXrmZqgfmU/f00+DuWYBKrFDl5hURCAdoDjXh9ziVs6Ct8SmVcvHigSQBKmrz5s2cdtpp7LPPPkycOJHDDjsMgC+++ILJkyenPCbxiojYHBU+n4+tW7f2z0kLIYTIWPfddx/z5s3joIMOYuHChe0eTxWgwikaulOJXYEH4ImuXadtpwI1ffp0IlaYGeMPYcK42eiEhX7jPVBASUlJ0nMmBqhY6HmzaAaVTVXMnO7HVVaGb8oUSr///R4N4SUGI7fLR0u4hZZwAJ/bCVBNtk2OYaRlQs50kgAVdfbZZ3PSSSexYMECVqxYwe233w44P8BFRUUpjxk1ahQVFRUA8Wa94uLiQfeXLIQQYvD50Y9+FL99xRVXtHt8RypQiUujuD0ewAlQhgEnnHACn3zzKis3L8LvK8KVNwKtnWEyJ0CBldBEHhMLUBrNtkqnx2pjMMAuZxzNuLPnUnjC8RSecDzeCRPw+XzxRYdDoVB88s5UEr8z3aZJWGtaQk34PM7QY0AC1OBlWRZvvfUWhxxySHzb1KlTAZg4cSJr166lqqqKH/3oR3z++efccMMNAJx88sk89dRTXHzxxZxwwgkAbNy4kTFjxvT/mxBCCJGx1q9f325bygpUNwNUqgoUtsZQ8NOf/pQzzjyNrbXr2VS1GsOTTyAQoLm5mVAohEspMFR8CZeY2H3btggnTH0wZcqUdq+vlEoaxtPa7vBckwOUQVhrbG1jROeYCmib3EEYoOQqPJzhtyOOOIJp06Yxb948zjnnHA466CDACVJ33XUXpaWl3H333UnH5ebm8sADD8TvNzY2UlBQEB9vFkIIIbojVZ9QqgC18ptvgG91+XyJAcrtjlagLBtDOU3h8+fP54UXXqChpQ7DO56GhgaM6JxObqVQKZZOiVWgLNvGVCY2FhqdNFyXqKCgIN4Ib9sdl6ASh/BchkG4za6DtQI1uALUi9fClsXpfc5hU+GYG7t+6Rdf5P333+fZZ5/l6KOP5h//+Afz5s1DKcWZZ55JIBCIX8nQkU2bNnHNNdek68yFEELsJFI1SCcFqOgY2PsffEBt7ekUFRW22z9RUgXKE+uBcprIY/Lz82nYWovhyaehoSHey+tWJspsP0AVC1C2tpzqkAUK1WGA6k4FyrbtpOFG03AqUIkCtk2OMvj66687e8v9TobwopRSzJ49m5tuuonTTjuNRYsWAU5D3Zw5c7oMT+AM9+266659fapCCCGy0BtvvIGOhodAIBAPFi7TTdhymscjVpgXnnuhy+dKVYHCslFtA1RzPYYnj8bGxvgxbsNEGZ0EKNvCNFrrL90JUB1VoBLDU15eHobWhKJ/Bj53DsfOPAf/+KPJNQz+53/+h/fff7+zt92vBlcFqhuVor7w8ssvc9hhh+HxeKisrOS9997j/vvvB+Cqq65i/vz5A3JeQgghss+TTz7JbbfdlrRt8oShPHnTdax69TmGDNM0NTUw99ARfJgXxqdy8eS4GTJqCP5cL0+sfoqmRY0dPLtjeeFyhhw/BIAq33buXXQvLZEg49yt++Tl5RHUFkqZ3HzzzVx++eUAuJTCSFGBivVAWXYEQ7UO8XUUoGJLwQDxYNhWTU0NACcdcBEenwuv3RyvQD394V8BmDLrAoq8ObgbG7jkwgv54osvAFDR5viBMrgC1AB58sknueSSS8jLy8Pr9XLdddcxa9YsXnrpJZYvX84tt9zC1VdfPdCnKYQQIsNVVVXxve99L37l9p5j9ifPV8jJMw7A1fIl1ZtM8r0mwcB6Lq3K5dOSerymn4gZwvAaWK4I9XW1BCKBTl+nxW7B8EZDkEsRiASYYOQxzq6J77N06VIiWmMqxbcrh1B96/M8MXYXTJeHz93t40G8iVxbmEbXASo/Pz9+u6MhvI0bNwIQjLSwoXEJ46xmwiSHrc9Wv81pM87gSNOHe8snrDvnXDAMdvnXw53+GfQ1CVDAvffem3J7WVkZZ511Fpdddlk/n5EQQohstGzZsnh4Ath95N68/dUzWMM38YK1jUkFu3Lm6b/gw0WvsezhjzGXV1Of46ZqyDa2rtxKzR41NFHDlX+8stPXeef/3mHr086chBP2ncD39z6OStfr5LAhvk+s+nPe638G4MGbXuDcJ/8PnzuHH+zbfsrzkSNHAs4yMEZCgEoMSom6U4GKBShwpgZSkQhXXXMNv77RGZG66qqruO2223ht620MKx7L8OKxnPvoI52+9/4iPVCdWLRoEdOmTRvo0xBCCJElEnt+AFpCTVQ1bCEvHKBB2ZSUFRMJWWzevJk1oSCzcvPYNSefEix29XjIx2bz5q189tlnnU5pkNQDFWsit2yU0bqW3He/+92kY0Jhp89KKYXH66atWI+vbVvxITzT5erwyvOkCpStU4ao2FyK4AQoHQ7zy1//mmeeeYbnn3+e3/3ud/HHI1YIl+np9lQOfU0CVCfKysq47777WLZs2UCfihBCiCyQuEad35NLc8gJOvmWokFpmlsCWBGbTz/9lKU5YzjwgMu4dPb3OHOImwtLSrm0uBCX4WLmzJnMnj27w8pO4kLEvljAsXVSE/mvf/3rpGNC0VnODWXiSdFfFA9QCUN4vk6m7UmsQNlak2o2zYqKCtymh0gkxMiRI9HhMIbbzbx58zj22GPJy8vjt7/9LQDhSBiPy8sTTzzR4Wv2JwlQnZg7dy4PPvggkyZNGuhTEUIIkQUSA1Sur4Czv38GAPkRRb2yaGpuIBKyeemll9isvNy24DEmXXsC53zwKv8oLWFrqIVClxNuPvnkE9auXdvuNZqamliyZAngVJOGDh0KODORJ37r77nnnrhcrZ08Lc0t0WMMvN72ASo/P5+SkhJnCC9ageps3sPECpSNBstqt8+2bdvwuH0Ew80MGzYMbLvdHFS/+tWv+MlPfkLYCuIyPXzyyScdvmZ/kh4oIYQQop8kBqjLL7mKw448mB//+Me433meENDY1EBLc5Dt27cztnAqFhFmzJgBQGlpKU11QYrcrWvSBYPBdq+xaNEicrTmFwecRU5uAeEPP2TzokcJfLOdwn1V0r4+ny8+rBgIOI3pSqn43FFtFRYWts4DRecBqm0FSmuNarNPXV0dHpePYKSFoqIiNKkrarvvvjthK4Tb9CQNTw4kqUAJIYQQ/SQ2MzdAUV4pvjw3Rx55ZDw2NDbVE2hsBsDt8uLxuVDKiR2lpaU0REIUultDSyz0JNq0aRMjPX7y/cWscK1n/7P3pei732XE6dPxlSbvm7hcS6DZeS5DmXh9qYNRXl5edB6oHlagbA12+yvx6urq8Lr9BMPNSfNGtZWbm0sk4vRADZYAJRUoIYQQoh9YlsXLL7/Mebvuz+xdZpH3VR011/6YUXVbWKkADfWNdQSanKE0r8uHx9v6NV1aWkpDuJICV+cBavv27XhMF4FQgJbx5eROd9Z2ZX0B1LevQMU0B5zgZhgGnhRDeOAEqLraxAqUL+V+sX1jbG2nHMKrq6vD6/IRirR0GaA0GkOpQROgpAIlhBBC9LG3334bl8vFqlWr2LV8Cv9c9CgH33Iqezx8L6Hf/oYrpwXQWlNVvY03XnsTAI/bh8ffOpRWWlpKfSRIQRcVqO3bt+M2XFg6wpAhQ1of0BroOEDFh/BQ+LqqQMV7oDqezLJtBUprTW1tLe+//z5WNEzV1dXhcfsJhVsoKChAtRvkcySuBjJYApRUoIQQQog+9pe//CV+23R5mHPowQyLzquUW1CANgANi79azGjvFwC4TQ9+T2uQKS0tZX04xIG7TOUKw6CpagXel1+mets2ik8/Pb78SqwCZds2ZWVlCWehQXUSoGJDeIbR4dBcbm4ult7WrR6o4cOHx2+HrQjB5mam7r03VZU1fP/c8wiGm1mzZg1TxhxAfaCawsJCOppfPTc3N357sAQoqUAJIYQQfezf//53/LZCMfvgOfH7eXl5TmEoRf904jDY8OHDeXHjEj5c9Q71kQju4fsQ8HioffRR7IT5pbZt24bbcGPZkeQAlaICldQDFWjtgfL5O69AGYaJabhSzhcVM27cuHj/Vjgc4fVXX6WiooIzDrmar95fj29tCVft+W1OGrc/x+d4sZ9+Bp1imA8kQAkhhBA7pbFjx8Zvl5SWcNCc5ACllOoyQI0fP55a2+Jf6z7n0TWfsMIy2LjrrrjKh6Ejkfh+zhCeiWVbyUN4XVSgWpqdHihnGoNOApR2hvBMw4XX1/EQns/ni89ertF8/5xzANhcs5Z3lz5L0YrHoaWKr1e/SUXjRvyjRzHs//1vyucajAFKhvCEEEKIPrZt27b47bGjx6ASlkIpLCxMmiE8UdsAFRMMN+P1+Glubka53eiE2blramooMV1YdoTi4uLWJ+uiBypGKYXfn7o5PC8vL76Ui8t0d1ipitl1112pqKhA41Rs3KaHcMSZesFvBXm64iuWB4OUl5dTcOyxHT7PYAxQUoESQggh+lBLSwsNDQ0AuFwuTMNAma1fv4Zh4PP5Us4qnhigysvL47c1GoUiEAigXC50uLUCFQgE8BhOgEo8Hm13WoGKn48y8XUSoGJLuZiGC19Ox1fhAYwYMSJ6vs7QpcftIxR2rjLMMQwC0akNEocSU5EAlaGuvPJK/vWvf3HhhRdy4okn8sorrwDOX+K5557LhRdeyMMPP8zChQu55557BvhshRBCDCaJ1achQ4Y4lSAj+evX5Xa1DuElhJzE4KCU4uKLL046LhAIoNxuiLRWoJqamjANk4htJV29FosxiVIFF0MZnQcobeFxefG6/fi7CFDx0KfBVMQnzYTkAOV2d9xLBcl/Do2NjR0uYdOfJEB1obq6GqUUZ5xxBvfeey/z58/nscceA+Dpp5/mlFNO4d577+XZZ59l5syZvPvuuwN8xkIIIQaT2OSZ3z3oMo6acRZ+1UzSonREr4CLZgLLinDszHMIRULJFSTgzjvv5Lzzzms9LhBAuV1JQ3iBQAB3dAgvMXg4+am7Q3ipK0IlJSVUNWyhJL+cvccfQunozitHw4YNA8DGCRxel59QLwKUy+XC4/Hg8+QyccR07r/jkU737w8SoKI2b97Maaedxj777MPEiRM57LDDAPjiiy+YPHlyfL/rr7+eSy+9FHAWQRw9ejQAZnTtHp/Px9atW/v57IUQQgxWsSGnpmADK2rfZ6x7Q9IQHoBt2/GqysufP8wLCx/itS8fZU5Cszk44WbmzJnx+4FAAFyupCbypqYmXMpFxI50WYFKDFDOGncGhjI6rCztscceBMPNvPrFo7zyxSMMGdXx5JfQWoGKTYLpTRjC8xuK5uh7TlyTryOhUIh3lvwHS1ssWbqky/37mgSoqLPPPpuTTjqJBQsWsGLFCm6//XbAqUAVFRWhteZnP/sZxxxzDHvvvTcAo0aNoqKiAnB++AGKi4upr68fmDchhBBi0Ens2cnNzQXLbjeEN2XKlHZX4b300ksceeSR7Z6vtLR1PZZvvvkmqYlcax2vQLUbwtPtr8JLrFBZtoVpunG7vR1WhCZNmpR0PzmgtRerQMWayD3RZVvA6YmKveWuKlAAN998M9vrN7Fq82KqAhVd7t/XJEDhTK//1ltvccghh8S3TZ3qTH0/ceJE1q5dy1/+8hdee+01nnzySe6++24ATj75ZJ566ikuvvhiTjjhBAA2btzImDFj+v9NCCGEGJQSZwvPyckBbccnvYwZN35cUoAqKCjgqKOOSvl8s2bNit9+//330YYRr0AFg0Fs28ZlmGjsNpWd9hWo5AAVxjRc5OXmth1hjCsqKkq6H2sS70jrNAZgoPC6fFz9s5+yaNGipP26E6DGjRsXv93Y2NGUm/1HpjHAGX474ogjmDZtGvPmzeOcc87hoIMOApwgddddd3H33XdzxRVXJB2Xm5vLAw88EL/f2NhIQUFBpzOzCiGE2LnEK1BaO2u62e2byN2e5AChVOppDcCZU2rkyJGs37aCQyedwvvbduPY6FV4sddyGa52w4ROBSp5U3KAimAaJiUlpR1OqwDw1ltvccstt3DqqadSUFDQ4X7QGno0YCi44PwLOeW7J1MyIpdvEv4MZsyY0enzQPIViYMhQEkFKurFF1/kqaeeorCwkKOPPjo+a6xSijPPPDPlekNtbdq0iWuuuaaPz1QIIUQmiX9/KOVUoCyrXYDSWqecSLMjQ4cO5av1H/HCwofwqYb4EF7stVyGC8PV9iu+qwpUBJfhpri4pNMAd8ghh/Df//6Xs88+u8vzjIUebdsYKILNYVxeA601E3bdlZycHEaOHMn111/f7eeCwRGgBl0FauqDU9P+nIvPXdzlPkopZs+ezezZs6mpqWHRokXMmzePmpqadk18HZk4ceKOnqoQQogs09TUhFIGWttOBSoSaTeEZ2MnXZpvGJ3XNxKH0sKWhY5OY5BYgbLNNomsyx6oCIZhUlxU3Dbf7TDLCnH5/udQsAVqbruFRoIUDB3Kli1b8Pv93WoilwDVhe6EnXR7+eWXOeyww/B4PFRWVvLee+9x//33A3DVVVcxf/78fj8nIYQQ2SEQCGAoA9u2nQpUTW27ChSapApUZxUgSA5QEdvCCjoB6qWXXgLANEy0q+26cp1XoCJWrAJV3OXr98Sf//xnrv/p1exRNoxHr/8+xcXOsJ+rtAR3fn63n0cC1CD05JNPcskll5CXl4fX6+W6665j1qxZvPTSSyxfvpxbbrmFq6++eqBPUwghRAZyKlAqXoGiqrr9EB66RwEqcYkWywphhZweqFgbictwsWbjuuSDulGBcru8FBUWd9oD1VOXX345hx12GKNGjUpeWqaHJEANQvfee2/K7WVlZZx11llcdtll/XxGQgghsoVTgTKxY0N4Ka7Cs7WN29XaSN7V1W1JQ3iRIJGgE6Ai0avxXIaLwuKiNkd1XoFaV7mcfXc7gmLfcIqGdj49QU8opeJXtu+IxABVWVm5w8+3o6SJvBOLFi1i2rRpA30aQgghMlhTU5MzhKejQ3gp5oHSaP73f/83fj/xCu9UEgNUKNxCpMUJTrHeKcMwOOqYY5IP6qICVd24lZc/f5j9jh+PL6/raQX6m9/vT6rM7bLLLixcuHDAzkcqUJ0oKyvjvvvuo6ysrN3kYUIIIUR3BAIBlDKwteUElhQVKI1m5syZfPHFF/h8PnbfffdOnzMxQAVDzUTCNpZlxRvRTdPFIYcf0uaozitQAB6PJy3Vor5gGAY5OTnxRvl169YlLbDc3yRAdWLu3LnMnTt3oE9DCCFEBmtqasIwnEv3c3Jy0KkqUFpjKKPbox6JAaol1EwkGKGuri4eoLxuHy6fJ/mgLipQAGPGjMHjaXPcINJ2EeHYRJ0DQYbwhBBCiD7U0tKCoUy0tp1Fem0bDDNpH601qu0sl51I7AcKhpuJhC2qq6vj27weL6an7TBc+wpU25nFhw4d2u1zGAhtJ6pO59WCPSUBSgghhOhDLS0tKKWwbQu/3x9tIk/+4tf0LEAlVo6aQ81YYTspQHncXkx3ckhLVYEqLExeDNg02xwzyPzud7+L3/7xj388cCeCDOEJIYQQfcqpQDlN5D6fL3UTudY9qqYkVqCaW5qIhG22bdsW3+Z2e7pVgUp1roPZhRdeyGeffUZNTQ3XXnvtgJ6LBCghhBCiDzkVqIQAZaduIu9JgEqsQDW2BLDCNitWrIhv83n9KHebr/gUFai2gsFgt89hIHi93vhE1wNNhvCEEEKIPpTYA+Xz+dB26mkMetsDtXb9atatrWDRokXxbT6fH9Obokai2n/t77///vHbxx57bLfPYWcnFSghhBCiDzU3NycN4dm2DW16jWxtY6QINx1JaiKPhNm8thq9Zik/3PMY3N48bLMUw91mCE+nHsKbP38+8+bNo6SkhJ///Oc9em87MwlQQgghRB9yhvA88QpUIEW/U9vL87uSOIT3Wc1GJm1YQK47h3DTZpqq6tjztINwDRvW5iidsgVqjz32YNmyZQN6RVsmkgAlhBBC9KGWlhZyDH+8AhVIsY9G96gClZPTutRKvW3x1xXvJj3+h3NPx2g7n1MHFSgY2OkAMpX0QHXDlVdeydKlS7ngggs45ZRT4tubmpo499xzufDCC3n44Yfb3QdYuHAh99xzz0CduhBCiAHW0tKCYRjYdrSJPIWezgMVm5W7I6kX7e26iVx0nwSoLlRXV6OUYvLkyfz9739Peuzpp5/mlFNO4d577+XZZ59tdx9g5syZvPvuu6meWgghRJazbZtQKBRfyqWjWb57ehUeJPdBtd3ubtv/BJ1WoETPSYCK2rx5M6eddhr77LMPEydO5LDDDgPgiy++YPLkySmPqaioYPTo0YAz+Vjb+zE+n4+tW7f28TsQQggx2MSmBTCUgcvt6jAk9bQCBR0HqJKSktQHaFsqUGkkASrq7LPP5qSTTmLBggWsWLGC22+/HXAqUG2nuo8ZNWoUFRUVgPNbRtv7McXFxdTX1/ftGxBCCDHoxCamNJSB29Vx23FvKlCph+k6CVDdmEhTdJ8EKMCyLN566y0OOaR15erYatQTJ05k7dq1VFVV8aMf/YjPP/+cG264AYCTTz6Zp556iosvvpgTTjih3f2YjRs3MmbMmP59U0IIIQZcLECpaAWqI72pQJWWlqbc3lGw6s5EmqL75Co8nOG2I444gmnTpjFv3jzOOeccDjroIMAJUnfddRelpaXcfffdScfl5ubywAMPJG1re7+xsZGCgoJ2CyAKIYTIfokVqM4ClE3P5oGCjitNEyZM6OAIqUClk1Sgol588UWeeuopCgsLOfroo/n3v/8NOJd2nnnmmQQCqS487dqmTZu45ppr0nimQgghMkW8AmUYuPupAnXllVd29CJSgUojqUBFKaWYPXs2s2fPpqamhkWLFjFv3jxqamqYM2dOr5934sSJaTxLIYQQmaS1AmV2GqCAHheHOqpA7bnnnh0cIRWodBp0AWr9Dy7EqqlJ2/OZxcWMue/eTvd5+eWXOeyww/B4PFRWVvLee+/FFyu86qqrmD9/ftrORwghxM4j8So802V2uJ+tbYweDgqlClDnn39+xwdIBSqtBl2A6irs9IUnn3ySSy65hLy8PLxeL9dddx2zZs3ipZdeYvny5dxyyy1cffXV/X5eQgghMls4HAacUY5Om8h7cRVeWVlZ0v3p06dz8803d3KEVKDSadAFqIFw772pQ1tZWRlnnXUWl112WT+fkRBCiGwQCoUAZwjP1UkFStPzHqjYvIMxt912WydTGCAVqDSTJvJOLFq0iGnTpg30aQghhMhQrQGq8yE8nWKB4a6MHz8+6b7f7+/GURKg0kUCVCfKysq47777WLZs2UCfihBCiAwUC1BKGZ1XoHpxFd6IESOS7kcikc4PkApUWskQXifmzp3L3LlzB/o0hBBCZKh4BcroYiJNdI/ngUpcMgzaB6pUryIVqPSRCpQQQgjRR+JN5HQ+D5St7R5XoMCZw3D69On86le/Yty4cZ3vLBWotJIKlBBCCNFHEitQnfVAAb0qDh199NEcffTR3dxb9/wFRIekAiWEEEL0Adu2Oe+884DoYsJdDeH19VeyVKDSSgKUEEII0QeeeeaZ+O2uFhO2td3jq/B6Tnqg0kkClBBCCNEHVqxYEb/d1VIuvbkKr8ekApVWEqCEEEKIPhDrfwJnCM/ldqE7CDG9mYm856QClU4SoIQQQiRZunQpl19+Ob///e+7nltIdCgxQCmlnAqUbYPR/qtXKlCZR67CE0IIEae1Zu7cuaxatSp+/5e//OUAn1Vmii0kDNEmco8bLAuVKkBJBSrjSIASQggRV1FREQ9Ps0tGsvqRF9g0eR/ycpwvXv/UKbi7nLBx5xaJRHj99ddZvXp1fJthmHg8bmcIr4MA1T9X4cnAU7rIn2Q3XHnllfzrX//iwgsv5MQTT+SVV14BoKmpiXPPPZcLL7yQhx9+uN19gIULF3LPPfcM5OkLIUSXLMvikUce4fTTT49vu3C/cykxCvn8k0ZCa9fS+MYb1D719ACeZWb4zW9+w9FHH93uKjxlKLCslAGq367CkyG8tJEA1YXq6mqUUpxxxhnce++9zJ8/n8ceewyAp59+mlNOOYV7772XZ599tt19gJkzZ/Luu+8O5FsQQoguPfbYY5xxxhm8//778W12uJFbFr9I/t6TKbvohxQcewzatgbwLDPD//3f/7XbZiiDiBVB2zrlEF6/zHGpZQgvnWQIL2rz5s1cddVVrFy5kvr6ekaOHMmbb77JF198weTJk+P7XX/99Vx66aWAU+qeOnUq4KxJ1PZ+jM/nY+vWrZSXl/fjOxJCiO77+OOPO3zMjoUmwwTL7qczyg7XTPk2k8snYflKmPjC86xb8BGeMWPa7debtfB6TipQ6SQVqKizzz6bk046iQULFrBixQpuv/12wKlAFRUVobXmZz/7Gccccwx77703AKNGjaKiogJwZpxtez+muLiY+vr6fn5HQgjRPU1NTfHPvFSsaGhSpgFSgerUpk2bku6PKtuNX79zFz94/te8dsShjH/maUb9+U/tjuvtWng9IhWotJIAhTP2/9Zbb3HIIYfEt8UqSRMnTmTt2rX85S9/4bXXXuPJJ5/k7rvvBuDkk0/mqaee4uKLL+aEE05odz9m48aNjEnxG4cQQgwGd9xxR7ttLsCODitZCRUoLRWoDn322WdMmjQpaZsJBLXzB9nZlBD9dhWeVKDSRobwcIbbjjjiCKZNm8a8efM455xzOOiggwAnSN11113cfffdXHHFFUnH5ebm8sADDyRta3u/sbGRgoICvF5v374JIYTopWuvvbbdNp/hjgcn23L+KxWozl111VXtRhtcStESHZEIh8OdHi8VqMwiFaioF198kaeeeorCwkKOPvpo/v3vfwPO5GdnnnkmgUCgV8+7adMmrrnmmjSeqRBC9L0CXy6RiPO5FxvCw5QKVGcSpy2IMZUi1I0KVL9chScTaaaVVKCilFLMnj2b2bNnU1NTw6JFi5g3bx41NTXMmTOn1887ceLENJ6lEEL0jwJPLla4GWhtIleGVKA6orWmsrKy3XYTFR/C23PPPTs+vj/mgeqXS/12HoMuQC37YDMNVc1pe778Uj+TDhze6T4vv/wyhx12GB6Ph8rKSt577z3uv/9+wCnJzp8/P23nI4QQg43H40ladgQgz5NLKOxUoGxtY9taKlCdqKqqavdnCM4wjw3MmTOHc889t8PjpQKVeQZdgOoq7PSFJ598kksuuYS8vDy8Xi/XXXcds2bN4qWXXmL58uXccsstXH311f1+XkII0R/8fn/8y39EyTj2n3gUJS4XocpPAbC1hRWJruEmFaiU2l59l0gpxdtvv915QOqX4pD0QKXToAtQA+Hee+9Nub2srIyzzjqLyy67rJ/PSAgh+o/H44nfHl68C5WRFbRsX8/IhgYANDZ2xEZJBapDHQUorZwLjrqqLvXLPFBSgUoraSLvxKJFi5g2bdpAn4YQIoN11jg8WOTl5cVvFxcM4ZU3XmBUeTkt0XkMLB3BikTXcLMG//sZCFVVVR0+lpOT0+Xx/TIPlFSg0koCVCfKysq47777WLZs2UCfihAiA73++uuUl5cza9YsgsHgQJ9OOz//+c8ZNmwYa9asiW/7wXkX4cv14DdNQtqpNsWG8KQC1bHq6uqU25V2KlBd6Zd5oKQClVYSoDoxd+5cHnzwwXYTowkhRHccddRRVFdX89FHH6WcrHIgbd68mRtvvJGtW7cmbR8xfDiGofCbZvzqMVtb2Jb0QHWmowAF3atAQT/MAyUVqLSSACWEEH3EslrDxqeffjqAZ9JebNmpttxupx/KaxjxAGVZzhCeVKA6lipAuQGL7lWg5Cq8zCNN5EII0Q9SXeI+kE499dSk+z/f6zjyc8uofvsjtnz5MPvV1rEyOoO2pSPRCpS501Sgtm3bxne+8x0sy+LJJ59k+PDOrxCvqalpt81rGETQFBQUdPl6WmupQGUYqUAJIUQ/eOaZZ5IWGR9IW7duZe3atfH7ShlMKp/E00ueZ84ZkymcO5d3x4zmP9FlSSw7ghXWKNPYaSpQV111Fe+++y4ffPABl19+eZf7J1ag3C4vc/e7gKNmnoMVbGDIkCFdHi9X4WUeqUAJIUQfu2DX/Tlg7P7858ybmKqW4yKMb889GfbLXwzI+ST2PSllMKxoDKphAxff9gfy95kBwLbiYpqigS9ihZ3lXAwTrJ2jAvXoo4/Gbz/11FNd7l9dXc2MgiHsVjic0vIpVG35FKN+PZGcXMr2PrnL46UClXkGRQVKa5leXiSTnwmRTXYbtif3fvoQS4b6GfLHPzPmgfsJLFwwYOcTu+R+2rjZnDzrYqaNm413+5KkXh232x2/HbHC0XmgDPQgqaL1tZ5+Bm3ZsoUL9zmD8UUjmLX7CPIaK8gxDP5VW9PtClTf5yepQKXTgAcon89HVVWVfGGKOK01VVVV+Hy+gT4VIdLCND00hoMMGV4OLg+G1zug5xMLUB6Xj7e/eoaXP/snhBvw+/3xfRIn1/zTn2/jtlv/RG19fdZXoJqbm/nlL3/Zo+FW27bZuHEjStvcvfRVjGOmc391NfdXV/NRIND9Ibx+WQtPAlS6DPgQ3qhRo6ioqGDbtm0DfSpiEPH5fIwaNWqgT0OIXguHw/HbhjIJ2RbKAB2dnLLvh2s6FuvXMZSJbVuYgK1J+qUlsQJV31RL9SqLf975Nkfqrq8oy2Tz58/n97//fY+O2bZtG6FQCAUUFBZSUlKS9Hh3AlT/XIWHVKDSaMADlNvtZty4cQN9GkIIkVZNTU3x24aCiHZmJbftga+2xypQhmFiawtTKSLoDgPU1tr1zH/j94z5bBT7zrug38+3P11yySU9PiY2JYRSMGzEiKTqHcBuu+3WreeRHqjMMuBDeEIIkY0aGxvjtw3AQhOxI/EK1ECKBShTGdjajlegOhrCixk9djSWzu4v4MQ/g5iuKkMbN24EnL/nYSNGsPfee1NYWAjA6aefzl577dXp8bEWFpkHKrMMeAVKCCGyUVIFCkVEayKR8OCrQNnRCpTuuAIVM3rsaLSd3V/ARUVFNDc3M6psN2ZPOg7Ltvhs9VudHvP+++8DTgWprLyc4uJiFi9ezJo1a5gzZ06Xr9k/6+CBVKDSq8sKlFLqfqVUpVLqq4Rtv1FKbVRKfRH937F9e5pCCJFZamtr47cNBeFogEpHBSoSiXD++efzrW99i9WrV/f4+MQeKMu2MACb5B6oVBdxhGwLO8srUDF5vgI+WfEqHyx7nsKckg7327BhAzfddBPgRJOSsjIARo8ezcEHH9ytqlK/zAEFUoFKs+5UoOYDdwAPtdl+m9b6lrSfkRBCZIH169fHbxsoIkDEimBbOx6gXn31VR544AEADjroIDZv3tyj41P1QFlaJw1fpWp8bmpuxC7M3i9gy7Lic2SZhgvLjhC2QnjcHV8R/Kc//Sl+21CK0m40jLel6Y85oJxXkgCVPl1GXq31O0DHqyQKIYRoZ82aNfHbCuJDeOmoQL3++uvx21u2bOnWRI+J4gFKmdEeKIVFctVp6NCh7Y5raglgZ3HrbHNzc3z6AidAWYQiLXhcHU870Xa6g7LeBCjdD3NAOS+EDOGlz478S7hMKbUoOsRXnLYzEkKILJC4VIqpwNKacCSUlh6oCRMmJN3/7W9/26PjWytQRrQHyjm/xABVXl7e7rimQBN2fww1DZDm5ub4bSdcWoQjnVeg2gbNtlMYdEf/zAHlvJJUoNKnt39jfwV2BaYDm4E/drSjUuqHSqkFSqkFMteTEGJnkRig4k3kVnquwkucY2pc+WRK9W689+xXnRzRSmvdfh4o1b4ClSpANTcH4s+xePFigsHgDryLwaelpSV+2zRMLDtCyAp2WoF68MEHAWdJHLQmEon0+HW11n1/BZ7zQkgFKn16FaC01lu11pbW2gbuBfbrZN+/aa330Vrv053JxIQQItN9/fXXvPjii/H7hoIwEAqnpwKVGFwmj96Pj1e8QmVFbbeOra+vx4rOJm4ohUZj4lSgXK7WtthUQ3ixgPHTn/6Uvfbai/3222/QLJCcDskByumBikRCuM32UzoAvP3226z8ZhUH7nEsh+w5D2W1MGvWrB6/br9ehScVqLTpVYBSSg1PuHsS0L1ffYQQYifwi1+kXiQ4HA6h05A3EgOU1jbNoUYiVqhbx9bU1LTb5lSgkoOdx+Nh0qRJSdtiQ1y33XYbAIsWLeKjjz7q9PWam5v5+uuvu3VuAy1xCC/WA6XRWB2ExOuvv548XxF+Ty4LV71J8Zb3GD16dK9eWypQmac70xg8AnwI7K6UqlBKXQDcpJRarJRaBBwGXNXH5ymEEBnj6aefTrk9XfNApRo6C4VD3RoeTJyfqqysjD322AMTGDZiZLt9n3rqKS666KL4/cSAEZNYtWmrubmZqVOnMmnSZH7/f78fFJOIdibxvYwbNx47mnZty0oaNo0JBAKYhklTsJ6G5hrKy3re/wT9eBWetqUClUZdTmOgtT49xea/98G5CCFExvv888/jt+fu9wMiVggj7PQOdTfkdCUUal9tCofD2JbGNDr/gkycId3j9fLmm2/y0aOPMn1DRbt9J02axJ/+9CfuuecewAlEVpvFhFMFi5h//OMfrFq1iouOuo53n17Gt6auYf+54zs9v4GUGBC9Hh8lJUXUNW0HYPPmzYwZMyZp/0AggGE4c2mB05TfG/2yDh4gE2mmV/ZeTiGEEAPgV7/6FeDMSh22gnhG15Oz7jUAQuFgWuaBSlmBigSxrK7HBxMrUB6Ph2HDhnHUkUfizWm/hAmA1+uNf7mHw+H4FXwxdXV1Hb7WrbfeikKxbtsKXvrsn6guwt1AS6xAeTxeRo5urcolXhQQ09zcjBmdzR1A9TJA9dtVeDKRZlpJgBJCiDTasmULAG6Xlz2nTOL888+PP1ZdXR1f92xHpB7C6144S6pAxZZrsSwwzJT7K6WSrs5rW4FKnHE90YYNG/j6669xu7yEI9Fgkob33pcSA5TX7WX06FHx++vWrWu3fyAQiM/mDr2vQPXbPFBSgUorCVBCCJFGsSkCPC4fRx97VNKacp8u+IRtldvj93sbplIN4YVC3QtQiRUod3TBYG1ZKDN1gALIz8/v8LGLLrqIc889NymYAbzxxhsAeN1+QpHMmO4gcQjP7fYwZmxrQ/g333yTcv/YbO6wYwGqf3qgkApUGsliwkIIkUaxAOV1+ygoyqPBVRt/zLItHn74Xxx47P+BYTiVH1fPP4aTrsKLXj3XEmrpeQUqGqCwLOgkQI0cOZLKysoOH3/ooYcoKCjgL3/5S3zbp59+6ryGy0soWoFqW70abBIrUG6Xhyl7TcXILWL0bruzetNq7v3HP+KPa6054NBDKTCH4FF+Rs8cRmDLlqR9uqtZBwjpcK+O7YlzwiEWrKrihWcW9+nr9JdJwws464CxA/b6EqCEECJNLMuK9wS5XV4KivIJhlrnELK1xWcLP3PumAbatntVd0g1hBcMtmD3tAcqWh3Tlt1pBWrUqFFJzfGp3HHHHVRVVTF//nw8Hg9LlixxXsPliweowTzx5tatWznvvPPi991uN8cddywHHHwIB1qbMWoK4d9fUrz9edwWvLy3Yt1xBuUNzbgtHxVFy6l5wOIv1h96/NpaKcaGw1xYcVk631JKC7eEebhifdc7ZoAjJ5dLgBJCiGxQV1cXH5YrLSrD63fj1q1DeLZtYxrOx64yTOjlJJSJQSQ29OMEqN5WoCJgdjz8NGrUqHbbcrz5HL33WbSEmpjo9VASCaBXBHn5e99jv/32Y5fNTi+Yx+UlGB78Aeriiy9Ouu8yXRQVFbHbEC9la1/j7b33ZWT+cTSNn0zxmjUc+s0qVr4Yosg1HAMDdwSKI1u4lPM7eIVOaMAFf9ulb4fXNAaVOZP4ntHx0jSZZPKIggF9fQlQQgiRJrHhO4DS4iG4PSbBmtbQYGsL0zSdkGVGh/B6IVUPVHOwuVtzTCX1QLljPVA2yuz46yBVgBpSOJLlFQtZuuETzh63G3fVNjF5z3l8sPC/LDVMZjU2Mh/wuP3xClTsvP/+97/z9NNP8/Of/5zZs2d3ec794Zlnnkm6H5uVvTzHyTdvrDP42bfKOeX7h9L00ccs3fYQz/71LnYbMR2tbSLeeobNmMGB3+9FgBIZSZrIhRAiTRIDVHFhKS6PSY7PF+9TsrWF0or6+nqUYaLTUIGKaWkJ9LoCpbuoQO22227tthXnDqE2OkeS2w7zbs0mVjdW88bmSn759FMURYcEvS5fvIm8JRhk8+bN/OAHP6B5g58bfnwvKxd23Fs1kNxuJ0AN8Tt/R9VBNw3RPzvlcdPc0AA4a+aVlJawaNGigTlRMWAkQAkhRJpUVLRORllaMgSX12DvadPILywCnCE8ZRhs3759hypQqQJUc0ugxz1Qbk90eNHuvAK1334Jy51GM9qZp36fiXuO4+c//SlDoxWqYLgZr8uHhbPOHji9YKHoEF4oGIr3Rvm9ebyw8CGqN7eez2ASq0CVukNYBtRHXDTFApTLRST6d2Aok/3336/TKxVFdpIhPCGESJNVq1bFbw8vH4HbY4JlsceUKUwKh1i9ci2mMqmqqmLYDlSgUg3hBZp3oAIViaA6qUCNGTOG/Px8GhoaQCn2zi9h95LhXHLHrUS2bqXBtjmhpJhtK1rwuv00trROrul1+whGnOkBgqEWIpFo39UgmhMq1YLIHq8XgCIVIuQGy4aamloAlNuNHf07MA0Tj9edlvm9RGaRACWEEGmSGKCGlg3D5THRkRaUy8Xo0aNZuWIVSpls376dYWmuQAWam3o8D5Qn2gOFbUMnFSilFI8//jjHHHMMn2z4jNOmnURp5Srqnv4YgILjTyD/7/dREa7A43IalEPK4sjRbkYOycEfiRAsNnE3VVJQW8+Bo01GFxocONqE2g2wfmtP3n7aLVm82DmXBCVGANZ/xBijhq/dQNBmxYqvnTmb3G50dAkbwzDxeD1gWc6FAWKnIQFKCCHSZM2aNZw+dgYzRs2kZKPF9j9cjxlqQXk8lJaWYmsb0zCoqqraoR6o2HxFShnY0cqHE6C6fr7EClRsCE9HrE4rUABHH300X375JXfddRdTTjyRA485JunxgiceJxhuweN2AlT4oAP5fmAkEXchpeY3GPZQVq9fzqW7vgS/24PwhjICZ+/BPWv+y0WRF7v/5hO4teaFik2UdeN9d2Yq8P75uUnbPqn/AO6/kolhF1+Z5aBtqqqrqKqqpsDlwg47FShDmXh9HmdKik6mghDZRwKUEEKkSVVVFceOO4jnP/8X11/6bYZOOw0As7SMgl//Ctu2UMp0hsJMs1cVqKamJtasWQOAy3QTsZxKSFOgsecVqNg0BnbnE2nG7LXXXtx9990pHysoKCAYacbr9qOAryaMpHT93ykZdhy3fbYMD4oflLm52ZrHjTf+Af+4fSlds5zzf3Ebdx/07S5fO5WTPruBhnn/S1lOea+Oj7npppt59bVXk7ZdftFh8J3TeOTxd7HdT6Bti3AkzLat2ygsyodoBco0XHijFaju/BmK7CEBSggh0qSurg6Vr1kWaKBw773w7b57/LG8vDxn0VilaGxsRBlGrypQn376KcqyOLConBHDx+I3NTP9foaFureYcKq18HRkx4ef8vPzCYVbKMotwzQgpGDqtMNYFp7B6yv/hQGcN1mxVu/C22sUZl6Q11da/LpgNO7d9ujVa5pL7sAevR8U7bpD5/7uptt4bXVymL2saAzsehDrjY0McSnQNhE7xPZt1UwYUoKOOPubhonX53WmgujlUi4iM0mAEkKINKmvr0ehsLWmsLAw6bHEq7R2pAK1atUqDh2yC6fuey7arGP9otcZmZfP/rk5hCq3A0M6Pb7DCpRrxwJUQUEBwXAzHpcPlwEhpSjy5JHvc963DWhb09jYiMv0xCtnViTS69c0lIGld3x5mKqqqnbbvNEmciPUQsilwLaJWGGqt1ej3G6IRHuglInP7+12FU9kD4nLQgixg7TWXHrppVRWVqJwwkJBQfIsyW0DlDIMdC96d2prayn0F7Fi7XssGWdz8+avuXFbJUsDTbTU1nd5fHIPVOwqPKvTaQy6o6CggFDEuQrPVNEA5S9I+nPQ2mbz5s24DDcR2wkgkR1YH89UJrbesf4nSJ6/KyYeoMItBN3KmSzTClNVVRMNULEFhKM9UFbXfWQiu8jfthBC7KAPPviAu+66C3AWuzdME7/fn7RPygqU3fPwUFdXR443j+ZgI0VFReTl5QHQZIV5/B8PJ11Ov3DhQu666y5qamri21JVoLS941/++fn5BMPN+Nw5eHwGBpDny0t6380tLdx00024TFe8AhUZBBWoVAHK44lVoIIEY0N4Vpja6jqUy4WyWofw/H6fcyWjXIW3U5EhPCGE2EELFixIuu/2elEqeV2zWNABpwqkyoZ0WYGqr68nHA5TWloKQDgc5rrrruPiqccRqF3L+MJCcnJyqKqqosEK0bhmLV988QUzZsygurqaw+bM4bSR07BeWcyJxx2M3x3ku7m5PFtfT7NSmLEhp4gF/h37OigvL6cl3Ixpujh8xtnUFCzB49uvXSUOkpvfd2QIz1RmyjmcekJrnRSgLt/jEApzSmn45Asq173A1K8+5qPRRnwI75F/PYo3TzMh0jqNgT/Hh7asTmdzF9lH/raFEGIHJYYEBTQ2tZ9du6cVqG+++Ybhw4czYsQIPvroIwDuuecewJnFuynYQFFRUTwENYbD+E0Py5cvB+DNN99kmGWzz8SjWLj4M1ZXFxJyudjD6+O4/AJyc3OJRbx0VKD2339/iouLePWLR/lg42OEclbj8eWkDlCGp3UIb0cqUMaOV6Bqa2uxEoYR9x27Py2lNvscMZycffbhk2mzeHuS1xnCs8NUbtnGZVdcQUN9dCkXZeKLVqBkHqidi1SghBBiBzVE10UDUChSfaW364EyO++B+tGPfkQgEADgjDPO4JNPPuHyyy8HwOfJpzHYQGFhIXvvvTdr166l3gpR4nJxxhlncP3111NbW8vuvhw21Vbw4OpP+P4uY7APnMpD9TX8dsZB7DIkl6XvvkjFki8pWVJB5f67suWztTv057DbebuxZs0a8oa4ybdtPD4/ZWVl7fZLrECFd7QCtYM9UGvXro3fHjVqFIUFufzuwX/Fh2C/XlZLg2FGK1AhXKY76fhYBQqpQO10JEAJIcQOqq9vbd5WkHJZj3YVKKPzCtRnn30Wv71mzRquv/76+H2X6aLFClNYWMjdd9/Nf//7XxrCYfzRL/elS5cCcPjQMdQGnabxym3bMNfWsD5fs2L6IeitC8gr24Dh8VE7cwKNe43Da3p79wcQ5XP50GGNrg5xUW0Yjy+HIUNarwq0NLiVwkzogbIiva8gpaMHKnH2+P2n70+BTyX1r9lagzbiTeTtApQyycnxOxNpSgVqpyIBSgghdlByBQpuufXWdvvEeqAiVpiRrmm8+rXJYZWVjO7gOdv29jzxxBPMnnQ8BTkleNy5tNiavLw8hgwZwl//+lfu+8n/kOdyU5gwF9GYnAI2BJ3hxMcff5xD9GSUqVidV4tdV8Af/ufGHXvjbXxw6we8/d+3yStSHDw5H+3zo7ytocxC41XKqUClYQjPVOYOB6jVq1fHb+8+aiL+luR1Bp3nV2BbRKwwOV4nCMeGP00jOoQnFaidjgQoIYTYQYkBqqiwkFMuuKDdPrEK1CtfPALAnNxLuO63v+VvRxzRbl+tdVJVC2DTpk1MH3EkLyx4kL2GDKVF2/H+ovHjx7OmuZECbwE3HnIpKtyEa+2rRHIKeK/ZeZ7mQIArrrgC3yg/traZNGlSet58And0Yk6X4cQLZSR/xVi2xq8M3IaHkOWs57ejV+HtaBP58uXLGV++J3uNO4gReXtSYC1sc842GEb8KryhhaOobdqOjr03pcjJyZEK1E5I4rIQQuygxADlcbvbXYEHyUN4ABrN5wsXttsP4Lzzzuv09XJcLuZ861vxEDR79my2hkNc8safufjNv/Bsi8UPKjZwc3UDW1sak471ef2EdAsHHHBAt95bT7hcTqhwxb5Z2gSKiI7gNd1JPVARa2ArUAsXLmRo0Sje+eo/7HWAj3xvOOlxGwuNQtsWW2rXUdNUyeiy3QiMnOXsoDVFRUVSgdoJyd+2EELsoKQeKKVSzkidk5OTdF8DplIEg8Gk7bZt8+CDD/Ldgy7j2JnncOYhVyccpJk1axbfP+MMbvjjH+Ob3W43TzzxRLvX9Lr9BMPNydu8OYRo4fDDD+/JW+yWWICK54holWaPPZylWiJ2hByXK6kHKhLewQpUmybyr7/+mueee45wONzBUa1aWlpYsmQJHpePUKSFPSdORHl9SftYtg20zgP15Zr3+OSbV9Ge6NWFSlFUVCQVqJ2QBCghhNhBiRUoQylnyKcNo802G+cDuO0yIrHnago28MLCh6hp2tb6oFKMHj0aFQ5j+JK/6E855RRuu+22pG1et5+WcCBpm8+dgzc/dZVsR7WrQCknUNx3332AU23yGy5chhsr2gMVCoVSNt13R9sK1Pr169l/5kzu/sFV3HfR/1D10us0vP46DW+8iR0KtTu+qqoKy7Lwuv0UlRSQ43KhvJ6kfWxtgzYYP25cfJvWNlo5b9Ln8zlTSUgFaqcjf9tCCLGDEmf6NpTqVjjRWmNgsG3btqTtdXV1sR0ACLQ0kOPNxzBMLCvCkCFD0C0t7SolAD/4wQ+S7vvcOe0qUD6PH1w7vvxJKrE5qVxtKlAHHXQQU6dOJWxbnD75aE4cty/fy8/l4tJSfFs3Y9u9C1BtK1A33XQTo3Bz0r7nsu6zlSz6YDsty5ez/c47Ca74pt3xseqf2/Tg8pjoYBDDm3wloh1tIv/5tT9LeQ6xvi9t7fiCzCKzSIASQogdtGnTpvhtwzBSVqDaioQD+Lw5bN++PWn7tdde69yIhrDqxq2U5JWT6y0gEGzA7/djB4MYvvZTDsSu9FMoivOGUpw3hJZQ+wqU8vYusHTl0EMPBZyhSSAeoAC+//3vc+8Xz/BBxWcsWPJvvqqp4OtgEO/Kb3j/3fdTPt/ChQv56KOPOqxQmUZyBeqzzz4jx5PDtsql/OHL5/DNnMmQSy/FP22v+OK/r776Ktdccw2rVq1KGj71er3YwRDKk/znatlOBcrjdnH88ce3blcGdxx2GYfkj2DDxZew9cY/oDzJ1SuR3eQqPCGE2AGhUIjKykrACU+mkXoIr61gSy2n7H0mdQ99yrrX38FtWBjl5TzyyCNJ+5UHNnH1vqcRscJ4t33J2PfeI1JUjNFmrb2Ys88+m1f/+ya7j9ybbfWbaAk50xjYWqOUgcfjx/Slf/gO4Pjjj+eSSy4hvOodYH3Sn8OPf/xjdt99dzZu3EhVVRW/+MUvADhXW5xwwlzqGmqSnuvdd9/l4IMPBuD555/n2GOPbfd6bStQNTU1DPXkYkWrbvHKoOlCWxbV1dV8+9vfBuDDDz/kjjvuiB/r9XrRwRZUm2Bq4/RAmYbin//8Jy+//DLf+973uPKNP5MbfX8/qKhwXqawsKd/ZCKDSQVKCCF2QGL1qby8HOjeEN5di57nzg//TvWwXIxvn0zJmWdS+8KLrTtEqy45LVW88tHdnP/qLZz5xau8M3cuu774QofVjptuuolRE4bw0dcv8ek3r6FxnicUaSHPV0iuu4DiIX3zRa+U4s477+Rvf3UWVk6sQBmGwXHHHccPf/hDRo0alfA+Layw3W46gquuuip++7jjjkv5em0n0ty2bRt+Tw6RiBMaY839yjTREYv33nsvvu/777+fogKVagjPCVCGUhQWFnLqqady3HHH0WTbVEYi5I0Zg7u8HHd5ebu+NJHdJEAJIUQvNTc3My6huXjEiBHdPrbBtvgqUM8WZWGOGotv0iRCKS7p9yhFOGEIy99B5Slm2LBhSZWVmKXrP2G/iUdy5GFH4ynumwpUXCzUGKkHORKndGiJhMl3uXnllVeS9on3gnUicSkXK1ph8rnziESHLYMtTkBSbhc6Em4XbNsGKN3JEJ5ptB575513kp+fj2EY3Jpi0lSxc5AhPCGE6KX7778fcJqQLzjy1/hLFUOC63r0HHX11VgRJwSEUlwp5lEGgYTqjK8bVY5p06a127aldh2+IsWV3z2Ldzau7NE59pgdDYIqdVN1UoCyIxS5PRx33HFJi/oOGTKElSs7P09DGVjR5XCqqqrQWuPz+AmHqgFobok20Eevkkt8fki+etIJUMF2Q3gaGx2tQMWMHTuWDRs2UFdXx5gxYzo9R5G9pAIlhBC9FFsGxDTdrNj4OXpIJcWRrR3u37a/CWDBZwuwwrEA1X7uIo9ShHpQgQInZMUWHjYMgxtuuIHzzz+fV155Ba00rg4qQ2ljd16Bis2gDtAcCVNketoN4cUWIS4vGs3EEdPZ8E3y1YqQXIGKXc3o8+QSivZ9BVtaAFCmCx2x2lW1EpvCvV4vOtR+CM/SNmiVVIECKCwslPC0k5MKlBBC9FJJSQnQ2oszZswYWLe+w/1PO+00pk6dyueff87ZZ58NwIpvvuarxUvZZerB2LbtLEaccExvAhQ4vVAzZsxg0qRJSbOOL/5mMWYHlaG0iQeo1L+jJ1agmqww+5SMxKMj1L73Hm63B7OotUfroEnH8+Xa93jkzhe55razk4bhYn/uWmuef/55ADzuHEIRZwivJRagokN4tbW1rccCdxz8Q0yXF1CM3PwVVQ/MZ+hPWnuvALS2AEOmeBLtSIASQoheis12bSgTre1uhZs999wzaZbsiBXi/r8/wPFnHEwEcLcJTM791upMdwOUz+dLuSRMxI70QwUqOoTXwesMGTIkfvv1dQs4esIcjhlzEGtf+IjhBRaNb75JY9gZzmwJNbFq82Lefu913p/3FP/5z3/ix8YqUD//+c/54823kustwO8rojnkDN3FAlRsCC+xAuUzTLwuL5e/eScAp5zyHe6//wGM3OQZ42MVKKMPJh4VmU0ytRBC9FLsC9kwDGzb4sQTT+zWcc7Veo6wFWLzxi0ARJTC0+aLum0Fqjs9UJ0ZDAGqtLQ0PkT3QXUFv/rkEe5b+hKhI4+h/NqfoXJzkvqTYp599lmqq6vj92PzQP3hD3/g6Jlnsc+Ew2lp3OKEHhIqUCmG8Erzy7ECVQS0TUDbqJwczLzcdo3mzhCh0W4ITwgJUEII0UuxISFDGczcZybDhw/v1nHDhw9n3rx5AESsMG7TQygUIgxJAWro0KHtKlLdrUB1JGJHcBvuHXqOLsUqZp0MFb799tvxxZABgqFmGmqb4vcbGxtTHUZzc+vM6qYy403ktm3x9pJ/s3nN64Sjg6DxAOVyoSORpCG8oQXDsQKt/Wpeb/uJSaF1GgNTKlCiDQlQQgjRS/EKlDKZuc/ePTr26aefxuv1ErZCuEw3VVVV8QBlGi6On3s8GzZsYHhZWY+mMehKRPdnBarjADV58mSWLl3K7NmzAWgJB3j8kSf5y1/+AqiUFShIDlCpFhN2o4hE/7zi0xS4TLAi1NfXM2P8Iczd7wdMHLUPVn1rv1rHAcpyhvCkAiXakAAlhBC9FK9AGQY5bXpnuqKUYvz48USsEG7Tw/bt2wmh4wHK43Hh8XgYUlSU9gpU/zWRdx3UCqOzdwfDzSxb8jVXXHEFNQ0NBLtbgdLJUxOYCqzoH1ckOm1BbAivqamJotwyXv3iEd5ZcD/hUGvFq6MApbVGyxCeSEEClBBC9FJiBaqnAQqcXqCIFcZlupkxYwZNwRAepXCZbky3E3JKCgrSWoGybGtQVKBiYlMaBMPNeN3Oe1u6ciXhpqak/TQaheqyAuVSrRWoSMQ5j9gQXlNTEy7TTcQKs+vYsUl/rh1WoJAmcpGaBCghhOilWI+NoUy83p4vJFtaWurcUArLsli3aVO8AuWKBqjhZaVpbSIP2+EBbyJPFAtQoUgLHpcTYprCYdxtFhAOR5yg2TZAta1AuZSK90BZ8QDlDOE1NTVhGk6AGjVsGJGEl+i8B0oqUKI9CVBCCNFL8WkMDAOXq+ehJHYlWkxIazzKwDRcuN3O85XkF3DAnDkA7L777gwbNmyHzrlfeqBiVaFuvM7YsWPbbQtqjTc6h9TQ8nKOPPJIInYIl+lpnZoA5yo8W9uYZmul68D99sdqU4EiYQjPUAqNZviQIV1WoGxbg9KAwiUBSrQhAUoIIXopFqCUMnB7et5X1DYMhXVrD5Qr+nw6FOLe+fN57rnn+PDDD7u1UHFnInYEl+qnCpTq+itm+vTprXei7y2obbxKYSiDvLxcfD4fkUiofQUKg/fefw/LsuKLJh95+OHxylK8Byo6hBcIBOLHtg1QqSp7ThCTITyRmgQoIYTopViAMpWJ293zqQESFyIGCGk72gPVWoHSoRB5xcUcd9xxFBcX7/A5928PVNevM2PGjHbbgrbGqxQu00Nefi5+v59wdLqHq6++On6F3ob1G3jjzTcAUCi8Xi8uBRHa9kCZ6OgQXkx5aWlSgMrJad/DZtkaZ154GcIT7UmAEkKIXopXoAwDl7vnoWT8+PFJ90Na4zEUpuHG7W0NUMrT8/6qjvTPRJqxq/C6rsoNGzaMH/7whwDUB6o5duY5eKaciVcZuE0P+YV5+P1+52pFl4dVq1Zxxx13ALBh3Yakb7FgMJjURG7Fh/BMiA7hxQwpLo4HLWgfZgFsrUHF1sLr0Z+A2AnIj4QQQvRS61IuRrxi1BOxxWiLcoew725H4C6dFB3CM/F4nIqWDodRvahudaR/54Hq3uv89a9/5U9/+hPvLf0vLyx8iEg4gNdwKlCFRfnRClQIV3QC0F/84hcAhIIhVJvKkKFJuAqvdQhv66ZNSf1TZYVFSRWoXXfdtd15WbZG4fRAyRCeaEvpNlc69KV99tlHL1iwoN9eTwgh+lJ+fj6NjY3sOnwqLzz3IhP3Hsmak7/DuKef6tbxtm0zYcIEtm+pxev28YtjLqFMv8aW8rF4XH60Zx0HvLWJl78zvusn66ZP87cyOVDC1Kayrnfupan2cqbrZcz2PIHdgzmnKjZWYNs2l1XX8Ym9nRWluzMpr4yvjABD6kO0YLNJOWvkjRk9hhr1PBGqaF5/KLPtQt4z6rh6ywJe9Q7ly+IxzLELWTu2kEmbv2bs8k+4d8Ih8f2OiVRRumE5/xx3EACjR4+hbUSyNVQZ72D41/PKWXcwtjQ3XX9EIkMopRZqrfdJ9ZgsJiyEEL0UCjlf5oYye1WBMgyDhQsXMmXKFLY2hLDHvkLLpukMqdb4Wj7CtOv5ZjxszPsqbec8UsOZzavZIza81UeW6LFU1IegXSzpmJFXhgFE6gLkuvPx5pVSbymaTR/k5OBR4HI5V/htqmvBXezF8PhwFQzFaHbh8ntpXhuGkhJcBUNRzS4217VQFoiwq9ubvN/GzVj+QlwFQwHYXNeS8pzcRTYuZVKal3qaA7HzkgAlhBC9lDSE5+ndx2lxcTEbN27k59ffzLa8f1Iz9AP+NL+Iv97+d4qGDCUfODmN5wywOfq/vnZ3D/e/4orLqajYSP2wyei69dQv+YTLr/4F/3rtMTYsWofX5aWyeiUul8ljjz3G1ff8mQa1ne0vL6Zp3OFUrnmDbx1zMC+/9QSVzRGaxh3Ozb85l8pXV1H57sdUftO63w+vuoT61SEa8yuYPXt265xcbbxfWUHIMMnzytelSCY/EUII0QuWZRFrgXAmvtyxj9MRI0ZS0eBc8dW86lOO2GMIw4fv2JxPmaawYS3ffLOA9cEmjp98HIdrmPbvexi14hO2WgUs9U9mtumjsWol3vl/ZP9Pl/DKHtD8zSYiBbvR/M2HjP7eEdjbV9O8aSORgt04cEwOb9nVVNZtoXnrViIFuzHB18he5bnYeRM4/uyzOj2nqmV5rK3r48WXRUaSJnIhhOiFWPUJwO127/D8TEVFhSQuSuJJ45V3mSIvLw+Ax9Yv4uyXbuCemteZ8fjf8N95Jz/9+mM2bFxI0HDhH743f77vPo5v8lMaSf5z15aFK2FW+JaWFrZVVWMmDCXec8896Ej3mvNtbWN242pCsfORACWEyGp9daFMcoDyoIwde62iomJAo7QCrXfqABVz++23A3DggQfy6Csv8481C3h09ScsjcCz9fUscYcZFjJRqPhEmjoSxvS09isFg0Eqq6pwRfPTsccey6xZs7p9daOtbYxuTAgqdj7yUyGEyFrnn38+I0eO5Jlnnkn7cycGKI/Lg2E6wQejdx+rhUVF0VvON/3OGKDaLpQ8ceJEAJRSHHrooRx22GEEIy14XM5+m40Iw0IK03RhWdGm+IiFGZ0CAqVoaWnhzXffwRWtEObl5QOx6SG6Hna1tY0hX5UiBemBEkJkpQ8//JAHHngAgJNPPjntlah2FSilwLZ7HaCKCguxlTOjNuhezWye6datW5d0v+3M64WFhYQjQTwuJ1xuVhbftvfAc/g48v1+inJHsOmbL9DTTUpHlJJT5Ocn//oJzRND5NTkULpXKds923lwyYMMr/iYYKiQ6iU1nZ7Tgq0L2LWo/RxRQkiAEkJkpbVr1/bp87frgTKcANXbXqj8ggJnGEo7xxu9DGKZrKu/s8LCwqT7S6t8zNx1H4byNS2BhYwvKmTdvqOor63DHXZjeA2+3vg1wwpduJoM3MVutFuzNbCVguY6GiyDrYGtnb7m2IKxHD768B19ayILSYASQmSltsNBWusdbvROlBSgXB4MQzlVrl4GH9Mw0coZwPvPf55N01lmll//+tdceumlAPzhD39o93jbANXS5GN5cx2RXB8bqnO557Z/MmXKFP5x4ol89OxCVu66lL2Lj6LEmwtVH9D06Vpmf2c/9t19JNuL7iF38n7k7XtIv7w3kX0kQAkhspJlWUn3a2tr07IYb0xsEk0AtytagbKsXgcoHf0/UMyZPTtNZ5lZzj33XNavX4/b7eYnP/lJu8fbBqhcbz5nnnMax5xyaNL2omg/2Wer3gKgwOXlwIN/yF92OwL1wr+oeK7C2e+kk9L+HsTOQwKUECIrNTY2Jt1/7LHHuOCCC9LWW5RYgXK53M5VeLZG7cDQmwaU3vmG7mJyc3O58cYbO3y8KN5o78jx5lNaXtRuv7ZBqz4S5JI3/sJHH33E/vvvn45TFUIuLRBCZKempqak+xdffDEzZsxg+fLlSdsty+LJJ5/kueee61GjefIQntvpWdK9byLXre1PPVn9ZKdSVpa8fl+ur4Ahw0ra7dc2aAH87Gc/k/Ak0koqUEKIrBQLUOOHTWHSqH0wDJO3Fj/NpEmTWLZsGXvssQcAjz/+OGeccQYAr7zyCkceeWS3nj+pAmU6FSjnKrzep5/YEJ5ILfZ3FpPjzWfo8PZLsOTk5LTb5nLJ151IL/mJEkJkpdgQ3i5DJ/Hal4/hVga3fOunuIO1LP/JHXhyK1GG4sZnWxu2Tz/9dLZv396t508ewnM5TeQRG7UDky7aAFqRxl73rDJp0qSk+y7TRW5ebrv9UlUSW1pSLxYsRG/JEJ4QIivFKlAuw4VlR1CRZrxfPcBFb9zOA9ubOeCNN1AHH8wEb+us1VVVVdi2s6BKc3Nzu2HARO0rUNF5oMzeLfuh4/9f0lNH8vOdSTA3bF/JsTPPobG5PuV+bS8gAJg2bVqfnpvY+UiAEkJkpVj4MQwXlm3hUoqQrYkAn61+h/3Gn8DTH0QYUTIeAJ87h8mj92PfPQ5j4aefM2rUKIYNG8bnn3+e8vlTVaB2eAgvPpGm6EhhYSGL133ACwsf4q2vnk65z9ChQ5PuH3HEEZx++un9cXpiJyIBSgiRlVoDlIHWNm6lCEfrPBVVK3l+wXyWLn+B0qLhAEwavQ9+Ty4ew8853/kR1dXVNDY2cvLJJ6d8/lQVKG3rXg/haa2xFc4QXq+eYecQq0J15pxzzmHMmDGAs57eq6++Kj1QIu3kJ0oIkZXaTmPgVopwm96YLfWVTC7fE4ACfwkLVr1Bnq+IkaXj4/t0NDt2qiZyvQNX4UF0GG8nnsagOwoKCrrcx+fzsWLFCjZt2sS4ceP64azEzkj+pQohslJDQ0PSfTftA9SGms3k+IsA55L4QEsDLaEAPnf7q7jaeuqpp1qf2+3e4SE8TetVeOmcMT3b/PjHP47fPu+88zrcz+v1SngSfUoqUEKIrFJVVcWNN97Ia6+9lrR97KiR6ISqEcCG2u1oK/p7pFJoNC3hJnye9ld2JVqyZAn/+Mc/4vfz8wqiQ3g2yuhdEzlEr8ITnTr//PNZunQpmzdv5vrrrx/o0xE7MQlQQoisctppp7ULTx9++CFTc3P5+3dPTdreYFnkGAa7uD0UGSa7uD2ATY47eR29tv76178m3c/Pz3OqRvYODuEpZyZyqT91zDRNbrvttoE+DSFkCE8IkT1Wr17dLjwBjBo1CsOyMBOmLACIABvrNnPFgT9gZqSKS8pKuW5YOVN8rQEq11fAS8+9im23Dv+1nek6Ny/PuWHbznQGvaC1U4HSEp+EyAhSgRJCZI2VK1em3F5YWIjesqVdgAL45YLHk+7P9Ps5ZZwzDLfb8GlMGXsAbz21iAnDpzFhpnN5fHl5edIxXo/zvNrWsAMTaUY7oHp9vBCi/0iAEkJkjdra2nbbFM4itc3hMLobk1xWhMPkm04IGlEyjle/eJTVdRM570dnxveJRCIA/PGAMynNLaXoi69Y85370bZN3qGH9PLsNVqBlpnIhcgIEqCEEFkjVYDyer3OXFDhMOMmTICPPuzw+Pz8fCobGihweTiweBi7Fw2nQYUorq0hVFcPDAMgGAwCkJdTwiVv3EGT3X7m696wkQqUEJlCeqCEEFmjowAFoCMR9t5/Py666KKUx44bN478/Hw0sLDic46d+C1GNq7lqPx8Ts7Jofa99+P7xgKUAfzPtdem5dy1dqYx0NqQECVEBpAKlBAia6QOUD4AdCiM4fZw9913s2XLFv7zn//E99l111156KGHOO644wD487I3k57jKNvDHsHWKRBiC9MaKNx+X9rO35bcJETGkAqUECJrpApQefnOFXI6HEa53QDceuut7L///gC89NJLrFy5kgMPPJBAIJDyecOWhRVpHaaLVaCUAq+/8ykPuksTW1DYkB4oITKABCghRNZIFaBGDHfWuksMUOPHj+ejjz5Ca81RRx0V33fevHkpnzeiI4RDkfj9eIACvL70VaA0oGUpFyEygvxLFUJkjVQBalgsQEVaA1RHbrrpppTbgx1UoKC1xyodbOUMCwohBj8JUEKIrFFXV9duW2zxWacC1Xnb59ixYzn44IPbbY/YyQEq1gMF6QtQMpGmEJlFApQQIms0Nja225YT7VFKHMLrTFNTU7ttYTuCZbXORN5nFSiUs56LEGLQkwAlhMgaqQKUPyfHuRGJdCtANTQ0tNsWti3sSOtSv4kBypemHiiNRiuNliZyITKCBCghRNZIFX5iAUeHw+DqeuaW+vr6dtvC2sa2+6EHCgUyhCdERpAAJYTIGqkqUCpazunuEN7YsWPbbbMAbbVWoLZt2xa/nbYeKFtjA2glE2kKkQEkQAkhsoJlWTQ3N3f4uA53bwjvzjvvxDCcj8ZDDnHWtYtojbacCtRNN93E559/Ht8/fRWo2Fp48rEsRCaQmciFEFkhsfpUbJrcftQvCQdrCT9yH2vmr8AOtlBw/HFdPs/MmTNZvXo1tm3z2GOP8fbbb2NpjY4O4f3lL39J2j9dPVBoG+cVpPokRCaQACWEyAqJASrPdNEYaWDCtScw+4gjevxcsWG82BQIYQ22ZRGJRKioqEjaN33TGGg0ylkLTzKUEIOeBCghRFZIDFC7jZvAHhN35dBehKdEI0eOBMBCY4UjbNq0Kf6YYZiYaCZMmLBDrxGjtB1dC0+G8ITIBPIvVQiRFRKvwCvML8IwdCd7d8/o0aMBpwfKikRYv359/DG36aF8SHEaK1CtQ3hSgBJi8JMKlBAiKyRWoPJz83GlNUBBJBxizpw5uE0Pc/Y8kRlTZ+BVwS6eoSd0dC08iU9CZAKpQAkhskJiBSrPn4+ZhgBVVlaGz+fDQsc/LIvzhhIINjBmLy9jIt/s8GvE2TaWUoARn3pBCDF4SYASQmSFpCZyfx6muePPqZSiuLiYiNbxRX7dpoeColzOO+9sDDONH6HaRhObTFMIMdhJgBJCZIXEAJXjy8U0d7wCBZCTk4MFGNFc43H7uO32W8nxers1s3m3aTs6kaYpEUqIDCABSgiRFRKH8Py+HEwjPTHEH12MOGbmjH0pKi5AWxYqHWWuOC1LuQiRQSRACSGyQmIFyufxp2UID5wKVKLRI8fg8hjO0jBprEAprbEVCd1WQojBTP6lCiGyQmKA8rr9aRtdaxugCvKLcLlNsKy0DuFp2xnCk4k0hcgMEqCEEFkhcQjP6/b1WQUq15/nVKD6ZAgPZAhPiMwgAUoIkRUSK1BulxeX2Tc9UD5vDi6PCZEIypXGAKUtbKVAyzQGQmQCCVBCiKyQWIFymR7MPhrC83ty4hWo9F6F51SgZBoDITKDzEQuhMgKjY2N+D25FOcNBZ2Dy92cludtG6C8Hj8ut0EoEkGlK6UBsSE8TTqHBYUQfUUqUEKIrFBdXc1he53C0MJRlBaFMV19M4Tn9XgxTAOd5iE8bVloJdMYCJEpJEAJIbLCli1bAPhizbuMH2VgpKnBu10FyutzblgWaetUB7S2MLRGS4ASIiPIEJ4QIuPZtk1lZSWMdO4X5OehWtIzhBerQCmXwYEzRlK7fS3vvrYC9+qNuJq3sHz9m2l5nbU1qzEAW36vFSIjSIASQmS86upqLMsCrSksLMRtmESM9FSHIpEIACtHreG7+SegVn/M1lVLAFi71xDWffN0Wl6noaGeExubaOh6VyHEICABSgiR8WLDdwDl5eVoK4JK00K/++67LwBPzVzBrMWl/P2uv6bledta8tXn7PnFv7lKKlBCZAT5lyqEyHgbN250bihFeXk5WDakqQJ19NFHc8cdd+Dxebj15lvT8pypKO1Moyk9UEJkBglQQoiMt3jx4vjtPfbYA21babtCzjRNLr30UjAh15+bludMTTv/X8nHshCZoMt/qUqp+5VSlUqprxK2lSilXlVKfRP9b3HfnqYQQnTsyy+/jN+eNm2ac4VcmipQAJZtYWsbU/XhHE06GqCkAiVERujOrzrzgaPbbLsWeF1rvRvwevS+EEIMiHiA0prp06dH16lLXyUnoiO4DXffLrESHcKztQQoITJBl58wWut3gOo2m08EHozefhCYl97TEkKI7gkGgyxbtix+f6+99kprDxRA2ArjNt1pe75UtC09UEJkkt7+ilautd4MEP3v0PSdkhBCdN/SpUvjUw2UlJSQn5+f1h4ogLAdxm30bYBSyBCeEJmkz7sVlVI/VEotUEot2LZtW1+/nBBiJ1NRURG/XVJa6txIcw9UfwSo2BCe7sthQiFE2vQ2QG1VSg0HiP63sqMdtdZ/01rvo7XeZ8iQIb18OSGESK2hoXXqSZ/XC4C27LT2QPVngLKlAiVERujtJ8yzwLnR2+cC/0nP6QghRM8kBihPNEBhp3eduv7ogWq9Ck+mMRAiE3RnGoNHgA+B3ZVSFUqpC4AbgSOVUt8AR0bvCyFEv0sMUF6PBwAdsVDpDFD9UYHCjv5XKlBCZIIul3LRWp/ewUPfSvO5CCFEjzU2NsZve6IBCtsCI7OG8JQM4QmRUaRWLITIaElDeJ7EHqjMqkBFR/CwZSZyITKC/EsVQmS05B6oaAXKiqS9B8pl9O3a6wqpQAmRSSRACSEyWnIFKtoD1RcVqH6aSFN6oITIDBKghBAZLbEHyutJuAovQ3ugZCJNITKDBCghREZLNYSnLRvlSt+QW//0QMlM5EJkEglQQoiMlrjCgc/nA0BbEVSmVaCQCpQQmUQClBAiY9m2zerVq+P3i4uKnBuWnYETaUoTuRCZRAKUECJjbdq0iZaWFgBKS0vxxipQae6BitiRfhzCk49lITJB316XK4QQfWjVqlUcu5ePk6Z/C8PwsPz5u9n4wisMXxbm+dwXafgoPVWo5UaEkdqEJe+l5flSGddYA8gQnhCZQgKUECJjVVVVceAew/EEpxHJ+5SCvE8xlY9t+/lwlfsocqUnjBwA7K9yweNLy/Ol0kI+r9WUs1KN7rPXEEKkjwQoIUTGCgQCKO3Cdm/h9eYhPHzfwwN9Sr22fFUVl9/7ETme9PVuCSH6jgy2CyEyViAQQCk3ECEnJ2egT2eHaJweKBnAEyIzSIASQmSsQCCAgQeVBQFKCJFZJEAJITJWawUqnDUBSimpQQmRCSRACSEyVlYFKD3QJyCE6AkJUEKIjBUIBFC40TKEJ4ToZxKghBAZywlQLpTK/ApUrAAlA3hCZAYJUEKIjOUEKI9UoIQQ/U4ClBAiY8V7oFQEv98/0KezQ7SUoITIKBKghBAZKxAIYGRLE7kQIqNIgBJCZKzm5mbAjVbZM4QnBSghMoMEKCFExqqurkbhBp35FSgt8xgIkVEkQAkhMtKaNWtYvHgxKDfKCDNq1KiBPiUhxE5EApQQIqNYlsVFF13E+PHj0Vo780AZVsYHqFgTucxELkRmkAAlhMgoL7zwAn/7298StrhQyhqw8xFC7JwkQAkhMspjjz2WdF8phTIyv38oPouBFKCEyAiugT4BIYToiViz+PRxcxhRMg5lDpXUIYTod1KBEkJklHXr1gEwomQcLyx8CFV3b1Zd+59Fb0WIrCYBSgiRUdavX590XwE6Cz7JtM78YUghdiZZ8LEjhNiZ1NbWJt33+30YpnyUCSH6l3zqCCEySkNDQ/z2hg0bGDV8ZFaMe7U2kWfBmxFiJyABSgiRMWzbpqmpKX5/xIgRoDVaMocQop9JgBJCZIzGxsb4bY/Hg2EYYOusqEDFSlDZ8FaE2BlIgBJCZIz6+vr4bY/X69zIlgAlhMgoEqCEEBkjsf/JGwtQmqwYwostJiwtUEJkBglQQoiMkRSgPB7nhtbySSaE6HfysSOEyBiJASpxCE+uXBNC9DcJUEKIjJHYA+X1xAIUWdED1TqPZha8GSF2AhKghBAZIylAeVuH8LKhB0oIkVkkQAkhMsb27dvjt2OLCqN1VjRexypQ2fBehNgZSIASQmSMbdu2xW/HA5QNWlKHEKKfSYASQmSMxAqUP9sqUNH/ZsFbEWKnIAFKCJExEgNUbk6uc8MGLZ9kQoh+Jh87QoiMkTyE53duaC2NQ0KIficBSgiRMZKG8PzOEJ7S2bGUi9YyE7kQmUQClBAiYyQuJuzzZdc8UEKIzCIBSgiRMQKBQPy22+12bmRLBSr6X5UNb0aInYAEKCFExkgZoOzsuApPCJFZJEAJITJCJBIhFAoBoJTCdLmc25qs+CSTiTSFyCxZ8LEjhNgZNDc3x2/n5OS0DnRpLZ9kQoh+Jx87QoiMkDh8F5+FHMDOrr6h7HknQmQ3CVBCiIzQtgIVlzWLCeuudxFCDBoSoIQQGSGxAuX356CMaGrSgJEVCUoIkUEkQAkhMkJigMrLzYsHKGVnyTQG8SbyLHgzQuwEJEAJITJCYoDKzcnDSKhASeYQQvQ3CVBCiIyQHKByMcxYgNKtw3kZTDqghMgsEqCEEBkh+Sq83IQhPLKkiVwIkUlcA30CQgjRHYFAgGLTxWkTDmR3ewgtCxdQvekdcmoiKJU9vwvKcKQQmSF7PnWEEFmturqaA8snsOewySh3mHGjwfD7WXVgPpGcro8f7LSM4QmRUaQCJYTICJWVleT4ilm3ZQk5hx7O0NNOAqCi5U6GNDZ3cbQQQqSXVKCEEBlh69at+P2FBFvqKC8vj2/X2TGLATraRi5DeEJkBglQQoiMsHXrVvzeIoLB2uQAhc6qpVyEEJlBApQQYlDbsGEDN9xwAy+//DJebx7hYFObAJUdVZv4RJoSBoXICNIDJYQY1E4//XTWLNvE7sP3ISdvKLXYDB06NP64U4ESQoj+JRUoIcSg9v7777PvbkdQ01jJuiVPYWmyeggvG6ppQuwMJEAJIQatYDAIQDgSpKJqJaGmLSiXi/z8/Pg+NtnSRC6EyCQSoIQQg1ZNTU3SfReKnPy85AV3s+QqPCFEZpEAJYQYtNoGKFNBTkL1CbJnCE9Hu8gz/50IsXOQACWEGLSqq6uT7ptKsb06OVRp5INMCNH/5Co8IcSglWoIb+q++yZtsyGrOq9VFr0XIbKZ/OImhBi02lagRg4fzlHHHN1mL42SDmwhRD+TCpQQYtBauXJl/PaPf/xjrtx9dzxjxybto8mOySdbJ9IUQmQCqUAJIQat1157LX571qxZ6IiFciX/3qfR8kEmhOh38rkjhBi0Fi9eHL99yCGHoK0IyjST9rF1VrVACSEyhAQoIcSgFA6HaWxsBJzG6iFDhkDEArNtBSo7aGQMT4hMIgFKCDEoJV6B5/P7MQwDbVkol9lmT40hqUMI0c8kQAkhBqXEK/D8Pp9zI9UQHtlRtJEmciEyiwQoIcSglFiB8vv9AOiIBW0ClDMTuRBC9C8JUEKIQantEB6Qsok8WxZAiVegpCNeiIwgAUoIMSglDeFFAxRW6iZy+SATQvQ3+dwRQgxKqXqgtGW3ayLXaKnaCCH6nQSoQWbNmjUsWbJkoE9DiAGltebDDz+M38/NzXVudDCElxUzkUf/m/nvRIidgwSoQWTx4sXsuuuuTJkyhRdeeGGgT0eIAfPDH/6QRx99FHDCUV5+HhBrIm8/E7mEDiFEf5MANYhceOGF6Ggn6UknnTTAZyPEwLnvvvvit03DRX4sQKWYB0rrLKlARf/ty2ikEJlBAtQgsnbt2vjtUCg0cCcixACKBYkYwzDJL8x37qQcwpMKlBCi/7m63kX0tWAwyIcffkhDQ8NAn4oQA+rTTz+lubk5aZtpmBQWFgAdzQOVHX1DrT1Q2fBuhMh+EqAGgXnz5vHSSy+1227bNoYhRUKxc3jttdc48sgj2203DReFRdEA1UETuSHjXkKIfibfzgPMsqyU4Qngn//8Zz+fjRAD56KLLkq53TRceLxu507EAlf7JvJsIllQiMwgAWqAaK159dVXeeaZZzrc57zzzuvHMxJiYG3ZsiXldsMwUYaTKrRlZe00BlmWA4XIejKEN0D++9//cuKJJ7bb7jY9uF1eIlaYUKRlAM5MiIGRl5dHIBBot900TEwzFqA6mgdKCCH6lwSoAZIqPAHMO+AiKusqGDNkIs9/eW8/n5UQ/SMcDvPEE09QWFjIsccei1KqdbLMNkzDhWFGi+Uph/Cyowcq24Yihch2EqAGmaZgPW9/9QzHzjyHkpKSgT4dIfrEgw8+yIUXXgjAu+++y+zZs/F4PACcuP8PCVtBxrk9zM7NRftyaLr5V6yJbEe53ag2AcqWaQyEEANAAtQgZWvNqFGjCQaDeL3egT4dIdIqFp4ALrnkEhYtWkRNTQ0AYSvICwse5NTCIv4N3Lp0CSNGjOjwuaLTT/bl6faL2PRXsq6fEJlBmsgHEb8nl+ZgIwDNoUY+/XAhI0eO5IknnhjgMxOi72itCYVCSYsHA/gMxYQpe3YanqLPgJEFAUoIkVmkAjUITMkv5dRJR2H6CgnXbWC/IUPBZbPUm8+2qo2ceuqpBAIB/H7/QJ+qEGnncrl45513iEQiSdv9ykB3o/rqLOWSPbLpvQiRzaQCNQjMHj2DcONmtvs38q1L5vJaYwMTVJjxea09UOvXrx/AMxRix9TV1XHdddfxwAMPtHvMNE1ee+21dttzDAO6EaBssmMaA2khFyKzSAVqEPDllLJm4yf8bcESKisrWdjcTKWq5gf77coJ7nrQLax6+koqCwuJjEh9pVJvTfMUU2L0cY9V3lA46EqZIXAndt111/HHP/4RgF133TXpMZfLxZdfftnuGJ+hMLpRdZXgIYQYCBKgBgGvtxC/38Tv98eH6cL7biES2JsRegyG3UjTwvcYslbx2FmaoC89r7vabXJSU5AfNAbT84SpWCGwgrDXqVDQVS+LyFax8ATw+9//Pukx0zTjAUqh0NoGnCG8kK97P+xZMY1BvIl8YM9DCNE9EqAGAaUUhcVFAPEA1ZjfTP3457j1Z+s5dp9zOe9n/8ewV1/jhtN/h7t8aFpe9/bPbsd2+WCvH6bl+VL67B/w7GVgW333GiKjtF3fsaWlhc2bNwPgcnkIR0IA+A2Dr9at6/L5tExjIIQYABKgBkA4HAZgv92OpKxgOF5fMbn+YqA1QKEUSscu0FZUVFRwgMeDDofSdh5KKezob/t9JvbrdF+/jsgYbS/T37ZtW/y21+WLz8DvV4r95szp8vmypwcq+u8989+KEDsFaSIfALH5bsoKhvPCwofY8NnfKIpOmumKThKYuDyFYZj8v5//lrDbjw6lL0AZykDrvu4gib0L6VQRqW3YsCF+e6+p05m57wwAhhYWcurZZ3d5vEbmThJC9D8JUAOg7Xw3JlBcWpq8kyKeOZas/5gZ4w/mtU0j0MH09SsZGNj0VwVKApRwNDc3d/jY+LG7cvGlP0Jrzb5TpzJywoQuny/bhvCyoZomxM5AAtQAaBeglKK4rCx+/6CDDgLVWrtZveUr3l36LNWbV7Al4bf1HdU/Q3ixHzEJUMJRV1fX4WNDhwzH7XEWC7bDIZTb3a3nzIbIIb9jCJFZpAdqALSvQClKEwLU/PnzeerZ79BE8sr0ltZUrFnLLmk6j34dwpNvBxG1devWdttOHLkn8yYfhb8yh9rrf8mayHbsuvpuDc05PVBCCNG/JEANgLYBygBKhgyJ358wYQJlQ4dgNifvF7FCBBs7Hv7oKUMZ/dhELgFqZ9V2hvFNmza122fSqJk8vfBfnPu3O5j+nV/06Pk1OjumMYj+NwveihA7hR0awlNKrVVKLVZKfaGUWpCuk8p27YfwoCShAgXO+mCmMjj++OPj28JWkIaajoc/ekqh+r4HSprId0pbt27lpz/9Kffffz+NjY1Jj6Wqeno8uQRCjUyfPr3HryU/WUKIgZCOCtRhWuvtaXienUbbADVx1wn4cnKSttloDODaa6/lueeeAyAcaaGpLvnLaEf0yxCeVKB2SldccQWPP/44ABUVFR3ud9w+30drG2UFweVi3LhxPX4t54rVLCjbxKctEUJkAhnCGwCJAer0009n3pSpYJhJ+9jRK4sOOuggxo4dy7p16whFgrQ0ZOgQntQJdiqx8ATw61//GoCzDv0fqhu2YNkWL3/+MAC2tggXb2ZEoJnf/N//tZtkszuyJkAJITLKjl6Fp4FXlFILlVJ9OJ11dqmqqorfPvbYY1FolJn8V5E4t81VV10FQCgSZPU3a3j00UcJpmE6A0U/XIUnTeQC8Llz2Fy9hhcWPpQUkr57ynd59dVXmXvMMey9//69em6tdVZcThz/FyJNUEJkhB393DlIa703cAxwqVLq4LY7KKV+qJRaoJRakDjj8M4ssQJVWloKlg1mcgUq8UuhNDpHVDAcZPvWbZx++uncfPPNO3wehjLisx/3GZmJfKcTm2k/UWn+MLY3bG63PTbzvg6FUB5Pr15PKlBCiIGwQ0N4WutN0f9WKqWeAfYD3mmzz9+AvwHss88+UoYgOUCVlJSgrQjKbD+EZ0a/FAoKCgAIRoIUuZ3FVf/f//t//O///u8OnUe/zAMlTeQ7ndi6dgDDhuew67ASRhVPoTZQgTe/hNJyH/kz8gGoNWp5Y/0bFNas45uqL4is7/kvWfUqcd5+IYToH70OUEqpXMDQWjdEb38b+F3aziyLtQ1QWHb7HiitcUW/FPLznS+blkgLHn9B2s5DpjEQfWHLli3x29fMOoNc5SegW7CMryG3mHIzl3fmOGs/bghXsGTl2xxZs5ZPN79JrZ3b49ebpF0MN7o34eZgFvsnIlFQiMywIxWocuCZaJ+OC/iX1vqltJxVlmsboIK2lbIHKrYlFqCaIy14XL0b5kjFoD+uwpOZyHc2idMWmMrLA6se5+MvWifPnH+4zfrb12MYJsc8eTSzD9+Dimcu5+g51+IZNbLnL3jvt8Al18MIIfpXrz91tNargWlpPJedQkNDA7W1tfH7RUVFbE3RA+VMY9C2AhXE7fKl7VyU6sd5oKQHaqcRCLTOoK+Ui7CdPJFmLEr7PH5y85weKDsUwvD29peD7AjnsV9mpIdciMwgv7b1s4ceeih+u6SkBNM00ZbVrgdKo+NX4cUCVG1LAxNGzeTuguGYVUtZfdbZuDxuRvzxj7iKi3t8LjIPlOgLTU1N8dudTdY6pHQoLrfzc78jTeTOC0nqEEL0r2y4+jejfP311/HbU6dOdW5YVrseqMS22FiAWlC/nR89+0uufvsu/useifnLX2AUFGLV1PTqXPqlB0qayHc6iQHKAOzoX/0RRxyRtF9pyRBMt/MRpIM7EKCyJJzHl3IZ0LMQQnSXBKh+FvtyMZRBQaHTEK5tu10PVOIQXm5ua2NtQNs02hYRoKq5GcPnQ6e4bLw7+mUeKKlA7XSSKlAaItFo8J3vfAeAiNZ4laK0uAyXJxqgdrQCJbFDCNHPJED1s1h/iGGYeDzRK4csq30PlNbxuW1Szs6sFNdccw1By0KHI+0f74b+mQdKmsh3Nkk9UCgsNIcccgh5eXkAhNHkGAYlxWW4XNGfe9tuN4zdffKzJYTofxKg+lk8QCkTj9cJUKl7oOhyhfk33niDTz//DCK9q0D16xCeVKB2Gsk9UM4Q3n333dcaoKww+S4PxUUlmJ40fARpnRU9UPFpDLLgvQixM5AA1c/iQ3iGiSd21VGKHqjYYsJd+XzR4t4P4fXHRJoyhLfTSe6BUvzlrjuZMGFCPECFIiEK3D6K8otxudL1ESShQwjRvyRA9bNYBcpUrQEqVQ9U2+Up/va3v6V8vggaHenlEF5/zAMlTeQ7ncQA5XG7yS8oAlp7+UKRIPkuHwX5hempQGXJz5Y0kQuRWWQag36W2APlTaxApZrGIOGj9MILL+Too49mzJgxSftF9A4EKGX0/TxQ8fyUHV9yomuJPVCGBhXt4YtVoFoiLZw69XhKtygaHvknhrcFe0cXx5ZhLyFEP5MKVD9r7YEy8PqiFSjLin/JxNi6fQ/U6NGj+dWvfhU/ftbux5AzajbBhN/4e6J/hvCkiXxn07YHimijeGxNx3sWPcdzy15hwr6FDDt4GjkHHMDIm2/q/QtmSTiXiTSFyCxSgepniT1QXp/X2WhZYCb/VdjolKX82JxQr3z+CDnefL6975nUbq+itBfn0i8TacpM5DudtgEqdoHEmDFj2H///fn444/Z9eSjmHXxOWl8VUkdQoj+JQGqnyVeheeLBqiOeqBSXYVnWRYAoUiL879gHTXbezmRJrKYsEi/urq6+G2lFUR/tpVSvPPOO6xbt44JEyak8RWz62dLSRgUIiNIgOpnyUN4iRWojtfCS7Rt27ak+xErRNW2ql6dS7+uhZdlX3KiY4lrPSpAJVxh6vF42G233dL7ghoZ9xJC9DvpgepHkUiEUCgEgMvlTp4Hyuj8KryYo446Kul+2ApRvb26V+cja+GJvpAcoDSG2R+/p0mAEkL0LwlQ/Sjx6qQcfw5mbNjOtlNehZfqL+eII47gpz/9afx+JBKivrouxZ5d65eJNKWJfKeTOIRnaAWpZtJPq+z42dIyj4EQGUUCVD+qrm6tFBUVFqGM1k/KtrMP21qnnJFYKcUtt9zCI488AjizOtfXNfbqfBT9OIQnTeQ7hWAwSHNzMwBm9JeC3i/R0gMyhCeE6GfSA9WPqqpae5WKiooxjI4/9G06byYtLy8HnCG8UHPv/hplCE+kW2L1qaioCNDthqfTLkt+tmLrUkoUFCIzSAWqH7UNUMp0PipTLeirO2gij4lNZxC2gthW76o7/TIPlDSR71QS+5+cAKXkqjIhRFaSClQ/SgpQhcWdLhZsQ7cCVDASQvduInKpQIm0iw1T7zPhW0wYv5szn36fD69lx2LCMVn0VoTIalKB6iOBQKBdOEkMUIUFhfEKVKrf0J0rszv+JI2vbB8J9bq9yKA/lnKRJvKdyZdffgnA6LLdUIUBymre6PsKVJaE8yx5G0LsNCRA9YFXX32VoUOHsvvuuyf1hCQHqKJOe6C6O4QXtIKge/cF1a9DePLtsFP4+OOPMZRBINjAjH2nYNihfnplKdsIIfqXBKg+cOGFF9LU1MQ333zDb37zm/j2qqoqxnjzOGvcTMbUQ+D9d6n7z3+wo1ctJbJJPRN5TOvK9mHQJrbd8yCkUDKEJ9Jq9erVuEwPlh1h2rRpQOeV1PTIjp+t1lkMJAwKkQkkQPWBdevWxW8///zz8dtVVVWcvsdhTBkykQKjmQJdg1VXR9mll7Z7DmctvI4/SE3TJCcnh6AVxDTdSXNMdZehjJQN7OklTeQ7k/r6ekzDRcQKU1xc3OGEsGknjUNCiH4mTeRp1tymmpQYpqqqqtjNU8wrq95lyq/OZOhxx3X4PFp3/Zt7Xl4eoVAYl+mhoaEh3hfVXf0zkWb0v1KB2ik0NjbiMt1E7DD5+fnU0w8BKkt+tmJvQ7KgEJlBKlBpFIlEOPTQQ5O2xZZuASdAed051AYbKS0t7fS5bNX5VXjg9EG1RCtQjY09n0xTqf4YwpMm8p1JQ0MDLtONZUXifXp9P4QH0gMlhOhvEqDS6I9//COffPJJysdCoRCVlZV43X7qQ4EuA5TWnTeRg1OBaokE8bm83Pn//h+h9eud/23YgO5GT5Tx/9t77zi5yrL//32fc6btzvZsei8kRDqREnoJvUmVKiAo/h4fEAtfEAXlEVCxgaKIIFIERBREKUoPLYQgnQRI78km2b475Zxz//44M7Mzs7PZnd3Z2ZLr/XrxYs6ZU+6ZM9nzOZ/ruq+Lzg7Uc889xwknnMAjjzzS7f49QyqR70g0Nzd7IbyEA0U3oejCIGUMBEEoPhLCKyBXX311zvVvvvkmxxxzDA0NDfimKtpc3b0DRffP1K7rsjHajoNiZv1YXv3pP9nJWkrk448Z97NbCO2223b3N1TnMgbz5s3j+j1Pou6OV3jpuZVMM1YAUPGFL1B+9FHdjCgHkkS+w+C6Lq2trZRVjsB24h0h5X7XT8Pjt9X/+YiCIBQScaCKwGGHHZaq0GwpRbvWVFRUbHcfzfZn4QF861vfotF1uXL+HVz/zgOEjz6W8b/6JeFDD0HHup8+nh3Ci8fjAEyunswP59+Bs+/BjP7hD6k46UQiH7zf7fG6OEvaJxKGM8kwsmX6sHwmRqKFS3FmlYltIwhCcREBVQTSE8t9SuEvL0s1Wu2K7mbhAZx33nn4fD4A6urqUvlWyrTQdvflybOTyLds2ZJ4pahzbNxAAN+okZjVNehetosRB2p4oLXmd7/7Hd///vczapul09zcDIBpWvgD3u+yOLPwhsdvK5VELmJQEIYEIqCKjKUUJZWV3W7XkxuPaZpMnDgxtZx0uZRloW2n23MoVEYIr0NAecQTIkyZBrjdHy/3SSSJfDjw7LPPcvn/XsFLf3uX2294kMa6zmUzkgLKMnwEgr7U+qIkkUvikCAIRUYEVIHobjZbZWktoyonoA2r2/AddF9IM8mMGTNSr9ev3+C9sEy0He923+xeeHV1dUBHLoaddLFMs/cOlCSRDwuuu+46qsOjQCl+fc9PWP3Rtk7bpASU6SMQDKTWSxmD/BAtKAhDAxFQBaKpqanL9yzDxwmfv5DxNdMJbny7RwKqu1YuSdLLJvzjH4+zbNkylGWB071jlB3CSwqo5FntRE6UMvriQEkIbzigtcZn+mlq20ZD6xYcu7MgTjqYpmFRUhpKiPNiXXdRHYIgFBeZhVcg0lu2nPD5i3Bdh9GWyZh4I/7SUbRtWkh140cE7TDlk3ft9nguPQt9HH/88Rmz/7773e9y+2GHo+Pd50Bl98JLCqjkzaigDpSE8IY0Wmssy4/txLGdWE4BtXz5csBzoMaMHQWui1aqOK1choFt0+812QRBKCjiQBWIJ554AoCAL0R7rJUt5hKmr32R1Rs/5I1P/s3rqxfxTns7127c0EMHqvtCmgC77LILBx10UGr5k08+QfkstNODJHIyW7msXLky4307mUclDtQOT9KBijsxHMfGiXcWUCtWeCUvLNPHuAnj0I6DqySEJwjC8EQEVIHYuHEjANXhUey2984sWLCACYbL3zZ8xjObl/NKayuvtLayOBrtYQ6U7lEOFMAf/vCH1Ov33nuPPz/8MG68ZzlQ6Q7U0qVLMQE3cUOKJ/KoVF8cKCU/seGA67r4TD+2E0OjiUQinbZJOlCmYTFh4nhwHFxDyhgIgjA8kbtbAfjwww9TzXxrykZz5VX/g1KKimCQthxPx5bVfeTU26tnN4XsHnhvLlrEh+++1+1+2SG8zz77DEsp3OwkcsPoUU5VF2fx/idJ5EOaxsZGLNNP3PZKZfzkpz/lmWeeydhm/fr1AFimn7HjxqAdF9dQGP0uooeHA9XRC0/EoCAMBSQHqgBcdtllXDJ9f/acMAdKRxP5xQ2sJkbN2LHw2aedtk9vMNwV3iy8nt14sgWUo2HlsqUc1MX2SbJn4a1cuZKQ5cd1POfJjifLGJg9ag2TEwnhDQvq6uqYXjuBuJMo0Ko1p556aurBAbxejwCWYVEzohpcL4RXHANKRIcgCMVFBFQB+O9//8vp+17MXQvuYnUsxlcS4byxwSAkGqqmc+GFF3Z7zJ7mQAGUlpZmLMfRhEMl3e5n0NHKxbZt2traqAiV47jx1DqtdR8dqCQioIYq0WiUpqYmfKO9EF6S9AKxAGvWrAG8Qpo1I6q9HKhihPCGiThPfgqRgoIwNJAQXi9wXZf58+ezefNmAGbPno2JYrNtc8X112ONGOH9Fw5TXV2dse+NN97I8ccf3/056LmVnx0SdLQm2tba7X7pIbxkG46gGcS1owDE7RhaiwO1o5MsT2AlksiBTo7P/fffTywaxQcEDD/VFWF0LIYuRhK5N6AinEMQBKEDcaB6wfe+9z1uvvlmRo4cydKlS4nH4xhKEXM1J5xwQsa2Tz75JMcddxzV1dUsXLiwk6DqinwcqGxsDZHWzpWim5qauOyyy3j11Ve57rrrOOmck1IhvKSACvkCOMkQnmOjHQ2G2XsHSiqRD3mSDwq+tByobC644AJ+vv/5VJdU4Rg+Nn7lUhSaVRMC7CllDHpERw7UwI5DEISeIQKqF9x8882Ad2O5+eabiUQimEBMu4RCoYxt99tvPzZu3IhlWanmqj0hnxyobBw0r85/mS9pneFi3XLLLTz00EOAJwJPOfcUXO3y7rvvMm/ePACCVgDH8Rwo247jao0yjd47UJJEPuRJ1gezzLQQXg5HsSRYyZUv3U6D46SE+TN/O5Yv9HsIr38PLwiCkAsJ4fWRm2++mU8//RRTKeJaEwwGO23j9/vzEk/Qs2bCXRHXGgvFG2+8kbF+7dq1qdebNm0CDS4uJ598Mjrq45T9vsKeM48l3ua16YjFYwVwoCSEN1Rpbm7mzTffZPXq1QD4LB+201Eeo6amJmN7v1K0Zglt3YffcX6IbSMIQnERB6oPGIbJl4+8jnVblxGs/4yo1p0cqN6i6f10Zkd7TYtffPFF5s6d27E+SwRF2iM4jsPq1auZPWEf3ln2MiVNK5lUWQXA1m1bcF2NZRro3hbSlErkQ5Lly5czd+5cT2gnUCiOOfYYnn76aaCjcnayJpShPPF++eWXZx6s37XN8Pht6byKlwiCMNCIA9UH/FaQpRve56m37yO0bTEO5HSgeoNL/jlQrnYpCZSBGcBSMHr06Iz3s2dNtTS3pGo9lQTCtMda8SWcNIA1a1bjOhpME3pdSFMcqKHIE088kSGekuyxxx6p18m8ucsuuyxjm2SIGzyRVRQHShKHBEEoMiKg+oDfChBLzFhLUigBla8DdfbZZ/P+ytfZb6ej+fzcy/H5yzoJpuzq0cuXL09VGw/5w7RFW7DSBNTmus00NzejjD44UIMgiVxrTWNj44CdfyjS0NCQc/2ECRNS4ehYLEZ9fT333ntvxjYlJR0lNDS6/wtDas1w8G2kkKYgDC1EQPUBvxUkZneIEqUUfr+/IMfWKj8H6mc/+xmnn3cC76x9njVr38LnC3USUNnLJx5/IpGYN/5QIEwk4UDZCbHjug712xr65kANcBK51prjjz+e6upqbrnllgEZw1Ckubk59fq4UdP5yowD2bNyNDutWMH5I0dSZZoAPPfcc9s9TvFyoARBEIqLCKg8iaf1mMsWUMFgsGBPj94svJ4fa+zYsdx66618/etfJ2pH8FnBjCrR0NmBIu3B3TIsbDeOjw4HytUOTU19daAGNoT39ttv8/TTT+O6LlddddWAjGEokgzPAZyx+6k42mHt0n8TLi9nRCDInITLtGHDBgBCShHXcPXVV2ccpzghPD0cDCgppCkIQwwRUHmS7uJkh/AKlUAOiUKavbg8JSUlxOLtWL4QbW1tRKPRVPJ4tgOldefwSnoIz3EdmhubC+NADVAIL9nkWciPdAGFE+XupW9w76r3CJ54Ik/5fVQYngOVLHFQahjYwA033JBxnOKF8ARBEIqLCKg8yRBQvkwHKj3s0Vc0+TlQSUKhEO2xdkwzyNNPP01NTQ0zZ86koaEhtwOV+AWUhsO8+eab/OTGHzFlxgzvbe3S3NxSmByoAbrJRaOZOWqxWO5CkIXgpptu4uSTT2bx4sX9do5ikSGgEoTDYaZNm0agtBRMi6/vfDj1f53P+VVVnFNVRUlFBT6fL3Onol324ePbSAqUIAwNpIxBnqQLqKAvREx3hMnSw3t9pbd1oEpKSoja7Vi+MXzw7gfsMeUgJtbM5N4bn8XSnkM2c9xe7DZ5Lm2xFua9Ph7/6UdjBWtY+/MrKW+I0jjLZsphU6iJ1fDgtgd57D8P8aVty/jB01/K/4M4cWbUVPG9/PcsCEmHJEl9fT2jRo0q+HmWLFnCtddeyzF7nce1l/6KX915ExNn13S/4yAl82HAU0EPP/ww4XCYcDjMb996kFmV4/AHKxi567k4doz1VZ1/r8XJgRomDpQ4aYIwpBABlSfpAmri+Mn4yl0+WfVuqoZLofAcqPwNwlAoRHs8gml5swFHVU7kyUV/YvLsURiu5w6Ul1Tz4gd/Z0vTer7SMJU/7zGeq664CmXsCcDy+//Epr89yYgR2zhw/NEcN+cIAiXf5/K9Lu/yvF1RV7+cX218Z8CSyLMF1LZt2/pFQK1cuRLwrtljr93Jha9fyMTZ+xf8PMUi24F6+eWXOfjggwHPiXq1YSOLGhLh0SUvAHDVgZ1zzIoSwgOxbQRBKDoioPIkPTG7JBRmzORy/EoRdQsvoHrrQEVibSkBZZoWjmujlYN2veMlk98VEI9rHvjzcxmhl7EPvUjbp220R9oINZew96i9WWGVsMuovfMez3ojhKMYsKfrXAKqP7BtG8MwcRKhzv46T7FIF1A1NTUp8QRQWlqac59cOYBFSSIfLmUMUq+G/mcRhB0ByYHKk3QHKhQo4UsXXUAgkXh99tlnF+w8LuTd/gW8m1hbPIJhZdajWr9xHdrx/jAHrCCxeISgUvjLyjrlrZSXl3tj0C4tza29+wAJDGXgeU8DI6C2bNmSsdxfwiYSiWAqE1d7Aqq1tW/f20CTHsIzEyULkoTD4Zz75BRQxXKgBEEQiowIqDxZs2ZN6nUoUMouu83mj7//PWMnTeLHP/5xwc7jzcLrpQNlt2NagYz16zasQWnvcieT30OGgev3dTpGRUWFNwbXoampKf/Bp2EaFg5qwByopJMyaeQsTvj8RWz4r0OkpXC5akkikUiGA9U2xAVUugOVLYDycaCKgx4WIbyOQpoDOw5BEHqGhPDy5NFHH+WMg3dnVuV0qstrePyH5+Fvj2NNDPHAhgdgQ2HO02qoXj25h0Ih4q6Dz7AY5/NRbhiM8/kwGrYQ9HmtXQxleG1fDB+xHHlWU6dOBcDRDqtXren0fj4YhuWF8AbIgUoKgamjPsfz7/2VQ47el9bGKMFwZ+HYFyKRCKZh4brDw4FKd1pV1m8kLweqaCE8QRCE4iICKk8+++wzLt/pKP7b9jpjx62gZMo0ABqOqmFS+ciCnee7je1U1wa63zCLiooKml2X1mgLVx3wFXTDcvatrWWi3+LJkkreTNs2pAwasksbALvuuivgOVArV6xKNY3tDaYyEw7UwCSRJwVUyF9KJNbKtvptXn+/AhOJRDCUieN6vQWHsoDSWmeUf+ipA5WrjVHxQnjDx7YZPp9EEIY3IqDypL29HUNr/vrRe1zxy3uYOXNm/5zo8WugFzlQkyZNIqY133ztjxnrz6nRjKrcJWNdyFAQ7CzSJk6cSHl5Oa52aG1tZfPmzXmPI4lhmLgDmESeCkUphUazrX5rvwko0xiYHCjXdXuVL9cV6bWyOtV1omsHKhcajdHvmQLDw4Eq9ExeQRD6F8mBypP29nZMDTHX7eecj97NLAoGg52SfgHqYq2EfSUZ60oNg30OOrjTtkopJk2ahOs6GMpk7dq1eY8jianMAU0iz56Ov3XrFtxeV1XvmuwcqELWBOuKeDzOYYcdxujRo3n++ecLdtz0gquBQGeB3ZUDZdt2p3WudqWMgSAIwxJxoPIkEolgaIhp3b8CSvc+MXafffbhjTfeyFi3zY4TSgirmpoa3n77bQLvvcfI1rZch2DcuHHUb1iGaZisW7eO6l6NBAzDNyiSyJNs2VbXrw5UMoSXbJ/Tn9xxxx289NJLAMybNw/XLYwwTA/feWG5zO+rKwcq52cuxmUfLmUMJIlcEIYU4kDlSTK5Vuv+nnXU+5vCiSee2GndVtshlAjzWD4fe+21F+NH1GKUlHTaFmD8+PGeA5UQUL3FTIbwBsCB+vjjj6mvr89Y19zcjFvgml3QOYncLoKAevPNjow2rTUvv/xyQURUuoDK5UDNnTs3534DmwMlCIJQXERA5YHWOk1A6Zw3jAKerNePot/85jd5+OGHWbBgASNGjACg3rEpNQxGmCZh08Suq8Ouq8MoyS0Cx40bh6sdDGX0MYRn4UDRk8ibm5vZ5/Of57xJe/Dl6fuzS0kZp1dUsLdrE2/sW2mGXLS3t2Ok1YEqhgOV7a4deuih3HzzzX0+bnoIL9dvfMqUKey2226d1p9++umd1hWtlcswEGlJWd//35cgCIVABFQexOPx1Iw00zCxrP6MgPbeJQkEApx11lnsu+++qRtgk+vSFmnihwd/jc83r2f9975H65sLCHSRBD969GgaW7cwvmY6Vt1Y1gem92oshmGilUIXKLzUU5599lmsSIQjdzkFU5lsXPofTBS7mQZtSz4t+Pmyc6AGQkABfO97fe862J0DBR2lLpKsW7cutwMlZQwEQRimSA5UHmQ0Evb3o/sEfXKg0kne1DTwjdfvBeDYY4/l/N8/td39wuEw7bFW/vnWH6mc4RAxpvXq/EoZGFrj4Bbtx6a15rTTTqPaNGlt28Kdn72aem9EdSv7tbZvZ+/ekR3CGygBVQgyHKguBFS2WBo7dmzO7aSMQf4MAzNNEHYIxIHKg6SAUkDAn3+NpvwoTGJsruntPXHO0mdaNbc14qheFp5U3iR2t4guwcKFCwEwUZ18vKhtE23vXPuqr2Qnkdt2/8/C6y8Ble5AhQIhjBxuaD6iqCghvGGAGGmCMLQQAZUHKQdKdR3aKBgFcqDWr1/faV1P3JGStOTytrY2dG9vgkphao1TxByoZAkBS0F2vnjctWlv6chjW716dZ8KhSZJFdJM5ECll0ror5IGxXCgSkOlKNX776cQ322PENtGEIQiIwIqDzJDG/0cwiuQA5XrJpurXk826QKqb0UhVcKB6v+QVpLk5/MZFq6b+Vljrs2/nvgnmzZt4rTTTmPSpEkYhsEtt9zSpxlsLS0t3ozDrBDeGWecQUVFBXfddVevj52LSCTCqlWrCnrMJOkOVEkgiNGHn2FRQnjDpYxBwkkTLSgIQwMRUFnU1dVx1113sXLlSgA2b97MbbfdxgcffOAV0cSTNv0uoPrxyT1fAfXaa6/1PqdHKUwoqgOVFLp+00K7Nrvuuiv77rsvADHHxjIsvvGNb/DYY4+l9rnqqqu4++67e3U+rTUfffRRIoncTq1buHAhjz76KCfP+SqP3fEK7/xndR8/WQcvvfQS04Kl3HPMd/njEZdz/+dP4ZFJk3hs8mTiGzf26didQng5HKijjjoq9XrGjBldHqsoSeSCIAgDgAioLM477zwuvfRSDj/8cBzH4atf/SpXXHEFhx12GNu2bcOvFI5RpByofnoUzVdAAWzZsiUjib7HKIWhNW4RBVRSAPhNP/6Axfvvv091tVcKNOrYWIbJK6+80mm/Bx98sFfnW7t2LVu3bs1IIgfYtGkTAE1t23jq7fuIRbv/3nvKpk2bGBksZ339ai5+/jYe0hWcuWoVH0eiOH0s05DutIb8wZwC6vzzz+fcc89lzpw5/PWvf+3yWMVJIh8eZQySqVwiOAVhaCCz8LL4z3/+A8CKFStYvnw5jz/+OABbt27lpZdewq8UruE9mfcr/RiW6ElOTraAsh2HBa+9xmFHHpn3+QbKgfKZPkKJXn/J6tlRN45l+DqJyPMn78WYhlI++dV9jCjzvp/wwQcT2I67kuSzzz4DSORAdXxOpRSGMlLi0S5gLlRDQwM+08JxM4/pao3uYwJ7RiVyfxCV4zHLNE0eeOCBbo9VlDpQknwtCMIAIAIqjWxhkd5UFbzKzz6lcFXuAoMFZxA5UFoprj39HP719FOEQt7PxjduHFZtbbfHMgCXAQjhGVYqAbqsrAzwQng+0+x0rY+cdQxPffwkH24O0vDeS1Rs2sTctjbG9kBANTc3A4mq68kQHpqmpiYCvhKicc+5a2kpXIPhhoYG/JYfx8n8HA6aWCRCX+R9pgMV6FMOFLpYjsrQd21SOnDofxRB2CHYIUJ4q1at4tRTT0UpRU1NDR999FHO7ZqaMkMfyTyoJM899xx+ZeAYMKJmRH8NN0FhHKhcycs9EVDZDWMXrHqTE3Y+lmfvW0zjE/9k6733UnfbbT0ag6lJFZgsBikBZflQhndbOuigg7z3nDimYbFt27bU9qXBcnRbHX9Z/R7/eHsBl/zpHn73ynwWvPZ6j86XTNQ3DSvjczY2NhLwhYgkBVRr4WbNNTQ04DN8OE6myLc1RNty9zfsKRmFNH2BnCG8nqI9BdXPDJMQniAIQ4phL6Acx+GAAw7gscceY/LInTloxun84Cu/Y+Gr73batrGxMWN52bJlnbbxQniKyZMn99OIExSojMHFF1/Miy++mLFu55137na/bIftrqULuHbBfcRnjGT0dd9nxGWXoe2eiSKD4uZApUJ4hi/1FZ533nneewkBBTBxxE58Yb+vcswe52Bu/RiArQlhFdeal59/rkfnSwqo9CRyhaKxsZGgr4RovC1ju0LgOVA+bCdTDDvoPgmotrY2HnvsMUaUj+GMA75OhTmdEqP3xytOKxdBEITiM+wF1Lp161LNcMdUTWb+R4/z4eoF3H7r7ztt29DQkLF86623dtrGb3ghvPHjxvfLeDsojAOllOLQQw/llVdeIRQKMWLECH72s591u1+uApzQ4dIp00Q7PUuKNgGniCG8pINimT4M0/sOLcvirrvuIqZdzERSz8jKCby2+EmeXXgnsUZvhpzj2BiGia01Vg+//5SAUmZGEnljYyMBf4hIzBMgvUrC74KGhgb8ph9bZ4XwNET7cJ6TTjqJl19+mfKSGt5f+Tr+mrVUG43d79gFxWvlMvRFWrJm1tD/JIKwYzDsc6CS+SkAoUCYtmgzjuvQWN/5ppDtQC1fvpzr9ziJsdWTUK6Df9m/KDUM1lowftSYfh97IcMSBx54IBs2bCAYDPapCGhTY5P3h94wwemZKDJ0cSuRdzhQFiotgSccDhPXGjOxHPKX0h5rpcQwaE/UgGqPtVDiLyOuo/h6mPyTkQOlMwVUMC0HKhqJ5ty/NzQ2NjLa8OMkEsYVit0mH4AvXEK0rXcCyrZtnn/+eQAsw8J241RXVkJ9fa/HWbxWLoIgCMVl2DtQ6XlNQV+IaLwd13UYMaJz8nO2gAKYUjOFK1+8nSdbWvmfdev50urVvDcJDj/s8P4bdEpsFPbGU1FRkZd4Sq/1k6SpuQHX0SjLRPewNtTAzcKzMM2O7zAUCnkCKrEq6C8hkhBQ/vJyAFojTZQGy4hrTdC3/fY1Cxcu5IgjjuCHP/whQEYzYVe73H//AwQSv7n0cRWChoYGfJZFPJFE/uIHf2Nr0wZCo/Yg0ksBVZ8mlEzTh+PYVFdWonJNw+sBHY6KlDHoCcl/9iI4BWFoMOwFVLoDlfwj67g2wRxlCLJDeAovkNamXba11WMEymjTLobPwmf1sjdcT+j4S9p/5+gB99xzDz/96U+59tprU+si0QiO7SYcqJ4LqGJWIk8vY2BYmQIqpjVm4obuM/3EnRh/+/OD1IwbB0BbrIWSQBm2hlA3PQOPOeYYXnjhhdRyRjNh1ybSHkkkkbdljKsQNDQ0eOUYEmUM2qLNrNu2nFjb1l4LqPTEetOwsF2byopKMM2ud9oOHZW1ixHCEwRBKC47VAgviePatGXdZDZt2sSiRYsy1lWZZiq009i2lYqSGloijWilMXr5VN4z+seBypexY8fyne98h3/+85+pdbF4FNfRmHk4UIYeGAfKMnyYVsd1SjpQ2ZG5cr+PkkShzfVbV3DwLiczeuY8/C2fbfc89VmhLTOtF96ubgvnHvZ17EAFZe46zCo/jX2sEJ5Ea83mzZvxTZ6JnTULz9E2q5av5IBeHDddQFmGhePEqaooR3WRD9eTcQo9Z3D8qxcEoacMWwHV2trKr3/9a5599tlO7zmuQ6Stww145513mDt3LrFIJOMLmeAP0poIkTS1baO8pJqNDatwld2/T9WDxIFKkj4jLxr3HCjTMPJMIi9+DpRlWphWh3tSUlKS4UAlKbUsghUVADS2beGfC+9m79qpzJy4BytWrGDKlCmdzpFLHKTPwtuz/n2++sFTtKUJx4c+1/ccqNbWVvbbbz9aW1uxTB+R7DpQjs3ST7Yv/Loi24FyXJvK8vI+OVD9+6DRcabB8m9FEIQdh2EroG6++WZuvPHGzJWJm54XXum4mT3yyCNEIhHuOeIbuNpF+0owoo1ow8db29YAUN9Sx2G7nsbkkbOImVGMfo1+Dq5n0QwBFYskcqCsnieRU9wk8uQsPJ/hw/JlOlAxrTGzbrYhFCU11ZnHsGOYpo877riDn/zkJ52On6wrlY5pmBx44AG8+NILlBpGhngCClLK4ZZbbuHDDz8EvFmGcSe7ErlNQ44JEj0hw4EyfYTLwlRWVNDYy0qaUsJAEIThzLAVUEnxpIB7jrwSrR2UHeGiSZMxS0fxbNQLfdi2zY9//OPEXpovv+AVh/RbnmiI21H+93//lz/96U/c9+KPueuuu/i5+nn/PlmnHKj+O0U+hEId+WKRaDtO3EUF8nSgihjCS5YLsEwflq/DPUmF8LK215EI4azCqFE7imn6OuXFAdxxxx28984HnHfoVWxr2cShpWFGWRa2r4S5VjN1n9+Hf65c0Wk/7fZdRL711lup15bhI5YdwnMdnB5el2yyHajf/PbXntg0eudAFa0K+bApY+D9X8w0QRgaDMsk8tbWjpYZFmC7Dhc9fxsXvnwnZ6xayRMN2wja3g39z3/+c85jxOwIMTuCRjN16lRWrVrFx4s/4ksXXgCqv6dmD14HKhJtx3Fc6MaBct2O9zwHqvt8qcbGRm688Uauv/76PtVMqqurAzwRECrpGHtpaSkOYCrFH4+4nDNL/Sw46CC23n03FVktW9rtGIbpz5n4/eGHHxLwhVi5eTFPLbqX8NJ/8O2Xbsf+wmRm/fMJqv54N7ckxpCO4zqsXbu2158LvMKwSUzTRzyr753jOthxT0B98MEH7L///lxwwQUZ+3VFulg84fgTOfTQg72JAmYvc6CKUoVcEARhYBiWDlT6TcpQqlP2TdS10Y6L1ppXX3017Z3cDkEgEKCqqoqqqioc1+n/vI5B9iiaIaBi7bi2RhldJ5G//PLLnHnmmUyfPp0XXngh4UB1776ceuqpqVltlZWVXHnllXmPtaGhIXVNLcNHRVVl6r2amhosy+LC5zsKpC5ZsoRpM2dmCD6AiBPDNCza2ztPQggEAphpJQssBTaaCy+8EIBddtmFa6+9tlMIOe7YTJ80mW9d/f86h5d7SLoQskwfVtDizDPPZObMmfzf//0ftmvjxL1tzjnnHD788EMWLFjAkUceyQUXXLDdY7elVTAP+IMYloHruKheOlDFC+ENjxyo1KzFAR6HIAg9Y1g6UOm9vExUqgZ2sr9bzLGxDIvW1lY+/thr4WEZPpSbO/SRLiBc3H7Of4JB7UBF0h2o3ALq1FNPZfPmzbz++uv87Gc/8wppdlOJ3HGcjJIAmcK251x//fXUlI1m72mHUVk7k6qaytR7hmEwZkxmAdRkk2HDMPjVr37FmDFj2H///YkmHKhcTlgwGMQ0fKlGvhaKuNb4/f7UNj/60Y9499132XvvvVPrYk6cCsvPTTfd1KvPBlkOlOFj+oxp/OUvf+Gqq65KvG/jJtzVZK4UwFNPPdXtsdMFlM8KeDW0tEtvuwkXpQq5d6L+P4cgCEIWw1JAxWIdeSGm8v6Q//3vf6elpYXRo0cTc+L4DJONGzfy3nvvAV5D2fKgoqSkpNPx0gWE1kWorDyIHaj2SCuu7aIMo0sHKj2XZv78+T1yoLJLAnTV8Lk7brvtNuZMP4J125azbvHfKa/ILBw6fnxmC55wOJx6fcUVV7B+/Xp+8IMfENMuhlI5BZRlWQkHyhPcPqWwc3y+3XffnUWLFnHqqacCEHfilFn+TtvlQ6aAMiir9GYPJn+3jmujXd0pZNeT32y6gPL7/BiWd4375EAV7Tc8OP6t9AUppCkIQ4thKaAyHKhECO+UU04BvGrcEddzoO644w7iUYfZE/bh0L1OYFRVmKamJubMmZNxvPTq3a52izA1e/A6UG3tbTi29qa29yCvpr6+HgPVrQNVl5Uz9Mknn/Duu+/2arymYbKxfhXxlk0oMzNKPXbs2IzldAGVJBQKYWuNQW4B1dbWhmX6MgTUyaed1uV4JkyYAHgz+yp83m8pV32ynpA+HgVUjvCS3w3DoLS0FDvx227LaijcVW/DdNL3sSwfhqHAdXtfxqBYDtQwCeEJgjC0GJYCKt2BspSB1m7qqa6iooKoHccyLJ588kmmjJpNVbiWfebuzCi9HtM0U6G+JBkhvGIIqEHsQLVFWnFst8dPydu2bcOg+1l4W7Zs6bTuvvvu6/EYHcfh0EMPzVh31JFHoKzMm//kyZMzlnMJi1AohIP39edKIm9ubsZI1EkCT6T/Ikfj6SSjR48GIOLEmRoMM9nn5yvHn0B0+Qrimzf34NN1UFdXxyGfO4Xj9r4A0wxQmmhBA54YtF0Hy7A6CdJ4PJ59qAxisRgPP/xwatmXaGPjOVC9/72Lm5I/8o0JwtBgWAqodAfKZ/gYM2ZUarmiooKIY2MaFkuWLMFvBVhd9ynTZtZi+b2bbbaASnegipMYO7gcKMuysBJtTeJ2jHh0+zfjdLZt25Zo5ZKfAwWwZs2aHp/n0Ucf5eWXX/YWEjftvffYs5N78u1vf5vaWq8PYrbgSpIRsszhQLW0tHiVuhNJ5H6/r5OzlU5SQL259h3mzjqGbxz1Pfbe2MqW229nzZcv6dkHxCu5sWbNGkpDFTz19n00ffQQ5VVVqffD4TCO6/22P/jgg4x9c32/6dx///0Zy0kBhauht5XIi1U8dZiUMRAEYWgxLGfhpQuoo484ksqKstRyRUUFddrFTLhIPitAzI4yduRIVOKmIQ5UZ4LBIC0tLdhOnPb2ritqp4ueo/c8F9MwKW+I4tRs/2aay4Fat25dj8eXnAyQjt80OoXwRo8ezVtvvcXzzz/PF77whZzHSq97lUtANTc3J3rFeUIyV2PqdJKJ609u+JQnN3zK1FGfI+AL8e2f/4wVp3Yd+stm7dq1Xm5T4vdRGgxw4CGHpN4Ph8PYTTaWEUqFrJNs7sbpuuSSTCHnS/YBdB1Ub8sYFC2EJwiCUHyGpQOVHsIL+IMZD9AVFRXEtJuqRu23AsTtKGNra1GJWVTZeTHZAqr/wxKDy4GCju/AceNEuxBQ9957L7MmTWa8z8feo3fGbtnA++8/RLhpfLcO1NatWzlm9E786ajv8Mcjv8mfdz+Cq7dsZcUZZ/aop1qG0ElsbxlGpxAewKRJk7j44oupSnNv0kkXUCtXruSzzzJbozQ3N2OaXgjvmmuuSTlMXVFZWZmx3NS+jbJQ7nNvj5UrV3ovEr+/U08+hbJECxoglQNl5MhZ6k5AZdMRwnN7XUizeEnkwyMHSg+yArqCIGyfYSmg0h2ooC+AYXTcgD0BpUneEvxWkJgdZWRVVZcOVEYITxehv9cgdaAAbMfm2Wef75SkDHDhhRdy/X7nc+1B/x8XzDqcEyIr+FZtLTOWdN8Lr7m5mRljduGFDx7nkud/xYO+CZyerObdg2T1XLlKPsPoVQJ0UkAlv/3DDjssJdBs2+azzz7zesU5NmeddVa397vddtuNkSNHppab2uopK8lfQC1dujT1+uyzz6amssIrJ5EgHA4Td2xM1dlY3rp1a4+KaSZJhfD6UsagWHWgpIyBIAgDwLAUUBkOlC+AmfY3vKKigrjWqXU+K8A5530Rv2Gg/D0I4e2AdaCgQ1Q4rs27byzh1h/dRcToXPLB5y/hltd+zxUv3c6Va1Zw5fr1KFcTi8Y6bQteJfiDDjqIu+++m5KSWlpa63C1S2PbVubtdjbvBfdD2923JkkvnZDEUsrr2Zcn6dcbvFDi66+/DsCLL75IXV0dlmFRVh5m1qxZ3R4vFAoxf/781HLMjhCwgixevDivcaXqOmnN7Nmz0baT8fm8JHIbM4djpLVm69atPT5XZhL5YJ+FB4Pp30pv6fhXP/Q/iyDsCAz7HKiAFcgwIVICKvFHakRVLb/7/a+JLVmccqDSQzjZy0UJ4Q1iB6q5vZ43P/0P/132EnOOOIuds7azlEnUTXM6DIuoP8amRSv4+Qcn4qKxTIN4wCISsmhubmHefgdyzOePZsQ2xeRpuzJ1UhiwgTqiH23mx784D9u//Zv4hBlt3PLNUzFQmLHZHHHIaXz0+jM0rlhA0/z7t7tvLn7+zdMoXxrk59/0cpQ+ffFPrFnwF96JjGHspXcyglJipT6Ovu11rtnUzEW3vNjtMWd+86FU+YLxqpbv3PYhlzRX9mhfgHXMYeyld1KmqnjcDjL+/Ud45r632Vi5HoBNU85gN2s5pdEoY/c5qdP+J//hHQJpxT6P2WUMVx87i+XLl3fatiOJ3O11KxegSLpmeITwBEEYWgxLAZXuQPksP6pTDpRORSUqK6swDIWOx1M5UJ9++mnG8dKrVxenDlSSwXNTSHdlVtd9AoCrzum0naEgmtYWJTBmOm21yyjbfDilKoBlb8Af+5TaLe08cE4LlIF/w0w2jHmUmrcUjRWwdWxHSMb+ZBbrQu/RHup0qgxWVll8Z1sDx7a2sbC5mn3KnmWTXU7YiVAaz+1+bZcy+Lcaz5Ulz3asi8DRqop/VN+OP2bSYLps29pG1HZZubVzSLMTvjJ81d6Ehpdd8OGnqXRKz/YFCFbhC1ZhtltsidhEInFWN8ZY7yT2t8rQZVWYbgO+6rGEXRjlGGhgheWyodnGE6Yed7y8jG/O2ymjXISFV5bBUgo3EsGNRFCDvg7U8EK0oCAMDYalgMpwoEx/hgNVXl6eyIHy/kr5EmE7HYulHKgjjzySBx98EIBZs2Zl1ArakWfh9YRkW5MkyvRzU+n/4PqjbH36VmZX70TIN4crxk+ixh7Pb3/7W+ZNKuPZVWMJ61aWYVEV+iKPPfYYAHOnhjhuj7/hVI/o8pxr16zhPw/8L8+WTuPf9QHKgtX84ZMpnKmqWbTrHmyctv0k71w8/dRTfE23sOG9S3GtMirWPMJYn4F/XAt1H/2UCSN34/Bj9ufgYw9lwnsl3Hb2nj067tlnn52xXL7rUT3a96UXX+T3d94JQGTK4dz6oy8zdv0/mHjyrtgjPYH/0IMPUrfoOZyqydR99Ay7TjyIz+qXMat6J2Ib/8uXvnoh++2/P5saI9z4lBc+dFydMYPxj0d9h6gdwX7yMVY/7m1TfdGFPfps2RQtiXyYlDGQVC5BGFoMSwGV4UCZlldROUEqiTw5C8/nuU46HsdIOFBnnHEGf/nLX9i6dSt/+ctfMo5dlCTyQZgD1VMBZSqIpd8JEmUEtB2lbfF8FuHlAl173o/xb3iftsXziZdMpm3xfKgZQUuknYv3msCfb/K2i47Zg3kzqvGP77rO0nN1HxN85kN2OeK7fBCZz9amp8Gup+WE/anaYwLlJfm3T3H23YXfNf6HxsZGDik5nZfHb+GkCSUcu85H++L5ODrMgdOO4cTdxrAy5GPP3bseXzpti+dnLFu7HckJ3ewbjUY5eY/zAC9njxEzOXnP8awJ+9hj13H4ErMA3/1HGytWvQ/BEbQtno9bOoVPFj1MydRD0PWrmGrVc9LuY1le15ISUHHXzWik7DhRSr68H4ee09ldzBdXu+JACYIwbBmWAiqjkKbl75QDlTELL+FAubFYRhmDZ555Juexi5JEPggdqOy8sFxUVFRgoDIEVCoBOWsGmOu6nZKaLeW5V1OmTKGsrIzm5mZsx6F+61ZGZfWwS6elpQUratBQt5ZfvdIRcvvDS7/ryUfLzR6gz9aUl5fTOrOFzW9vpvykGpSuIeTz2sWMHjMKbBt8vf9n5Loa7brbrfb93HPPMcLyc95OB2P6SpgxZiRb7/4jsZUrM8Jr4XCYmBvHSEv6Pvfcc3ln/mcE/SU0NTUB4EvLaXIcnZGAX11dw0kFEE9QxFl4wyQHKll4dOh/EkHYMRiWs/AyBJTp6+RAuXT8vfX5OxyoZAhvexS3DtTgoScOlE7klmVIJSPhQLmZM+m063aaOec15YWysrJU7SRXQXvixt8VLS0t+E0fjtvzCuk9QSmVqloO0BqzMeOKsF9hGT5qR47o8e+mK2zX9UTYdvjss8/Yr3YyU0ZMZ139auYd9zmsUaOovfxyzJqa1HbJWXhG4js//LDDmDZtGpF4GwFfKCWgzLR/D7abOTvPLPBvW5oJC4IwXBmWDlR6CM80LEwzU0CB9+e2RCmCponb2orb0ppyoLbHjl4HanvkqsWUdEi0m+VAaU19fX3GOl/CgQqHw5SUlKS2a2tu2e55W1pa8BkWbto5br755m7H2xPKyspSeW/N7Q6mBWG/50DVjKhG2zbK6r2AcrX2SgVsZ5tly5bhtwKsrV/JrItPYeqXzs65XTgcJuZ0CKgpU6eyonUL0Vgb5aGqlICyMgRUppDtbdXxXPSkAKrQwSD8Zy8IwnYY/g6UYWFYHX+RktWn69vq+eVhX2enlUtYc9nXaPz73wnMmNHtsYszC2/o5UC5rpshXJOoxM0cx+60fUMnBwriWlNWVpYSUI4Tp70HAspzoGy+9rWvsWTJEq6++uruPlKPCIfDxOwofitIU6uNlXCg/L4A4XBpnx0oF7Zb52rlypX85je/wWf4cewYI0Z0nUwfCASIu3YqhFdbW0t5eXnCgeoI4VlpIsl2Mh2oXM2Ve0tRQniiOgRBGCCGrQMV8pcyumoS2i3HNDvafPh8Pi666CKuvOceAO655x4mXXhhj4/tUsTE2EF0U8gtoFQqfyddtGZgdOFAAU05HKjaMaMpKSlJFTN1XJv25u1P829tbcVvWjhOnNraWmbOnNmjz9QTysrKaG2I4LMCtLe04JZAqU8RLi3DtAxs2+5Vsc4kLnq7Auq6664DwLL82M72BVRjYyO26xAOVXHK2FnoNesY37COOT5FzBfi7rvv5o477sgI4bW2t6eqrPt9fowC/uaKM+Fi+CGJ94IwNBiWAioajTJn+hG0RBoJBZopzbr3//a3v2XMmDFYlsUXv/jFvI5d1BDeIPpDmlNAGcrL3/H7c4bvgI5mvlk5UA6a1oaG1PJzzz1H+003ccwVV2AYRpoDZRNp7dzQN52WlhYsw4er7U59DPtKOBymPt6E3wrS2tqEC5QGIBQqQSXrh/XFgdJ6u61qFi1aBIDf8mM7ke0KqGOPPZbLgU/XLOKoOUcyzl3BpsZGvhAO8H64iheBZ555hsOPOia1z6bNHU2cJ44Zj6V63u6lO4rqQA2ifyu9RQKegjC0GJYCKhaLYZk+lqxdRFnJ4ZhmZt+xYDDIjTfe2KtjFzWEN4gcqFyz8DReMriic/7T3LlzvfYnSQcqSyTYrktbUxOGYeK4Doceeigb/vkvRu6xB0BKQNmuTbQHAspzoAovoEpLS4nZdfitAK1RjQGUhM3U96Hj8b45UHr7IbxkErZl+IhHm7tsgAxewdd/PP00Cxcu5PRLLqG2tpaNr73GX++6i4Mmef0cTzzxRBqbW1P7bK7rEFATRo3DNLbf9Dlv+v0nLLJDEISBYVgKqGg0is8sxXbi+E2zb60osihqK5dB9FSdy4HSKLTtCaN0ATV58mRee+01vv/973Pr0+9722Y5UG2RKH6lsJRFqDSIaZoZYiTlQLlxou253a0kLS0t+Ewftlt4AWXbNjE7gt8K0BLTOFaIY+fsCobLv284Al+DTWhdhAUPn9yj4337ipEZy9aGNp5+7GLiVR0uVliZHG3VYDsO1+2yhvjMIAE7RCDiMOvjn8OKzj0IkxwBHLETMP+7AMzaupWvHAJucCJ/O/4MAtF1rL5gf+53Qzw0+Ug2b9knte/oEaOxjMIJkqJWIh9EDxu9RdK5BGFoMSwFlOdAVWI7cSzD7AgjFQCNLl4z4UH0lzS3gAISuU3t7e2YeI5Kctv/+7//w7/bG9z99rbUdkla2to8AWX4GDnSKxWg4x3V4JM5ULZrE2vffisWT0BZOK7dqRF0X2lrayOeSCJftU2zdsoR+GPrMdWnNC3bCEDddMWmphU9Op49IdPJszdpPmlaQ0vaTNF/+DWHNC7Dbm1j71EasFhTF2BMuY+SrR/lNf5qNHtNhfaGu3ADftb5jyCs/07lJj9fbHiRF7ZOT207asRorAI6UEWpRD4IHzYEQdgxGJYCKhqNElIKjfaKBhbYgZIcKI9YPJ4KzUUiEfxK4ZIZ7qseUQts6+RA2a6DXxlYpo9RYxKujG2nBFQqhOfEsSNdJKgnaGlpodrwYfdDCK+1tZWYHaE0WEHMgbrgNPTEMi6//PJUrap8yBYUfzgxwOWnP05g2rTUun8/uB/2157jd7f+jqt+fRUAv/3iTGYddw6c84X8zgf8+JJLuPv+uwE4bu992GJO4I9TWvG5Nlu3eYn8fitIbcVIzFjhamkVr5DmcCFRSFO+MkEYEgxfAZV47TOMjmrYBUDrYvT3Gnx5HZs3b+60bsPGDdRt3MiYqira29vxK4WtdYbYsp3EZ8nOgXLihCw/pmF5Fb0BHYvnEFA28cj2b+ptbW2MNExs107tVyhaW1uJ2hHGh6dTFR7JsccdzZzjphTs+I7rpsKgSSzDwnZtGhsbU+uCgRCmv3fCfXxWFfdYLIZjmFiuzZq169h5/BxmT9yXqtJxVDof9uocuShOCC/p1vbzaQRBELLok5WilDpGKfWJUmqpUqowhXcKQHo9Iss0UVbhBJSrd8xWLnvvvXendS6Ks/ady/uP/5PokiXMDgZx8Kb+J7ETfdayHSjHiRM0/fhMP2PHec1wdTwO2QLKtbGj8VQNo1y0t7cncqDiPWo5kw833HADW5s2oLXmW1+5jhmfz78x8fZwXRdtZwpES1nE3XiGgLKsAKa/d8872e6hJ6AsTNfl388+R8BXwhtLnmK3fSoIWtuvip4PRWsmPEzoqDsq35kgDAV6rQSUUiZwO3AsMBs4Wyk1u1AD6wsZhTSVkZoJVghcdsxCmvPmzeOUU07JWPfWygWcuPvpvHTvJ/iff5njyspZHo1mhNHiCQcquw6U7cYJJByocYlGwelJ5Mlcprgb5803FlBRUcH555+fc2zt7e1YhoXjOAUXUIcffji/vv02jj57Xy7/wQVU1Bb2+LZj48QyRUvSgWpIK/NgWX6sXvbcCwQCGcuxWAzbNPE5DhgmlukjbseYNWOnPs0o7EQxjNRBGO4WBGHHoC9KYB9gqdZ6udY6BjwM9GwqUj8Ti8VSf1gtQxU0B6ooIbxB6ED5/X4ee+wxbrjhhtS6e1e8xVWv3sW9HzzJvWY539+0kSWxTAFlO4mk5KxK5HbCgSovq6RmRHVqfbKpbrLeUdyJY5meK/XAAw+watWqTmNrb2/HMj3XptACSinFV7/6Va677roMZ61Q2HYMJ5YpLn2Gr1MIzzIsDF/vHgSyHah4PI5tWpiugzJMfKafuBMjHAyg+tAYOZvi5EANvnC3IAg7Bn1RFuOANWnLaxPrBpx0B6rQs/B21FYuSS677LJO67Y2bWDB/LdTyxkCyk0IWdNg4sSJqfVxJ0bQ8jF1yjQsn/d96rSb4SGHHJLYzsZndFy/DRs2dDp/0oGyXbvgAqrQ3H333RnLthPDjXd2oOI6nulAmQaYhRFQsVgM2zAxXRcME5/lZ8ZO07x6VAWesVq0EN4getjoLYPwuUkQhO3QFyWQ6595p8dBpdRXlFKLlFKL6urq+nC6nuG6LmvWdOg6UxW2Qaqri9DKZRD/Ja2treX000/PWLeleQOTR+3M6KpJKFRWCM9zoM4+60xWrFjBpEmTEuvj+E0/UyZNwbA6X5+JEycyffp04k4cn9FRI2nLli2dtvUElM9LTB/kAuqCCy7gD3/4Q2o5bseJR2I88MADPPjgg7iu6wkoJysHyjB7HV7LKaDSHCjL9HPDj25A205BQ3hFSSKXEJ4gCANEX5TFWmBC2vJ4YH32RlrrO7XWc7TWc2pra/twuu5xHIf9998fJ23Gl2UUOAeqKA5UksF5UxgzZkzGcmukiVWblzCmahJvffZcVgjPu8EFAz4Mw0iFwVbWr+Lk2cdxSEs5jddeyYpTT8Oqrsk47t57703ctVMhPIBsEb548WKam5sxTYu4M/gdKMuyOPfcc1PLsXiUN157g/PPP59zzz2Xxx9/3AvhabuTA6V66UBl5EApRTQaJW5YGAkHyjJ9zDvqCLQdL+iEC0kiz4+kAyvfmCAMDfryuPkWMEMpNQVYB3wROKcgo+olTz31FAsXLsxYZ0JhZ+EVI4l8EDtQXfHBqjdSrzMcqMQsPF+igW15eTkAf13zIX9d8yGPPPIInzvj+zmPueeee/Lii2/yuSkH8tsR0zA2vs3UP/+ZNW8tYtwvfs6m+np23313AEzDwtY2vj70pSsW6Y5Q3I7xh9/fmVo+66yzOOPxM9iwaQNr1qzhmL3Ow1AGAUv1OryW7UC1t7d7AsrRKMNk55k7Y5jKKzUx1ByoQVh0VhCEHYNeKwGttQ18Hfg3sBh4RGudX5nkAvPpp592LCT+oJqFnoW3g+dAgXdj3B7pIibpQFmJMGp2IvbMmTO7PM5RRx3Fvzev5JtPfp8b37yfJ3xjeP5zn0PH4zj19fzyl78kHvdKAFiGD0w1JBwPpVTKKXNdG5OO36dt2/gMH6+8+orXuNowaQ2vYnbFxl4/CGSLSsdxiBlmwoGy8Pv9KKXQto2yCidAtSR458UQfG4ShB2aPikBrfVTWuudtNbTtNa9685bQLZt29ZpXaFzoLTWO7wD5brbb/fR3Nycep2sA2UlWpVkC5wZM2Z0eZw999yTAw88kG2Ow4b2JlwrxJqmJszKSha89BK33HJLalvTMDF6GeIaCNILhaYnyYOXRL55a6JwqdYcfPDB4Ni9DuGl47reA0AUA+VqlGHgT4T4dLww50hS1Bmrg/RhQxCE4UuxknmKQka17MQfVuW6vZ69lIuiNBMe5E/u3Qmo9FmQyTpQvkR5go8+yjQpu8tZevTRR5k3b57n/BkmW7ZswSgp4e7f3J6xnWn6UDmS0Qcryc/tuDa1/gCTfL7UfxVNDg3NDd6GSjFixAivWnkvQ3jpjmHciWKZfpqiDkZSQPn83naOLWUMBEEQesjQueP0gPfee6/TOu24hX2qLkYz4UHuQHUXwrv44otTr5N1oJIO1CWXXJJ675prrun2XKNGjeL6669PLdfV1WGUlLD4nXcytjOUidHLVicDQdKBenvTEmZO2p9vHHI5l+96PF8fUctZv3iXppaOyusjRozwxE0vQ3jp18u2Y/gsP60uaFfht0wCAX/yzYI+bBS1F94g/beSDx1e2tD/LIKwIzBseuG1tLQQnDCNy/fxGtPWODsxfb/jeePVf7Ft2Wts+uCJgpxnrW8La/yb+MMvvleQ4+Wi0t3GGcAvn1vKG6+90e32xWbLhOMZdfZkAIKhEJH29tR75RUVfPvpdXjzCmDJBk8I+BJh1K997WssW7aMiooKfvjDH/bofOmzN5MCqiThaB38uZMJByuw/KXYWdXOBzNJB2r+ltXMf8lz084++Eoax5YzfUyYxqZ3vQ219oqK2k6vxc2sWbNSr2NODJ/pJ4qB6ygClsLvTzhQtlPYHCgJ4QmCMIwZNgLqjTfeYL9xzey+YSpa+fDH3qekdSkAr+6+gk2lhTvXvLY2Lm16q3AHzIGrFa9vsnhLd87rGngMghN3TS2lz/GKAQtXdB5zbZmXZ1NbW8u9996b19nSBdTy5ctRJSFqSkugtYVwsIKn3r6P3UeOpDVrttlgJlfT44fm/xKAC6ZdQ1vSgVKKmpoatNP7Gk2TJk3i1ltv5YorrmD5xg+Zu/PxWMbnafQ1ErAhFPLG4iWRD508suHGIDeeBUHIYtgIqJKSEt5tmMLfNyxNWzuVH/7gBxzWD+f7cz8cMx3H8HO0r5yj+/k8hWDJkk946KEHGT9+PF++5BKMrDtAdamf43cb08Xe3VNRUZGx/NKCBRhpDaMBTFSqZMJQIJeAShJzHezW1tRyKoTXh/Da5Zdfzplnnskll1zCk0/ey567WTRbYwhaEaqqqryNHLuwhTSLUgdKVIcgCAPDsBFQBxxwAP854AD23HNP3n333dT6c498auAGtaNw0FRuueSYfrtZGolwnWX4mDJqNi+8+QmhrHNZSnHW2QNahiwvtpc83xaP4rYlwqJaU11dTWMfksiTjB49mn/961/U1tbSRDOtvlqCZj1GKMzyuhac+laIOjTUtfTpPEnWNrZi27C8QMfLhYq1MgXY2hKlsR/PUwyaI15JDpGCgjA0GDYCKsm8efNSAio9mVnoX4pRf+n1JU9RWz6WijEHwaZlQD0oxd57780uZeUcc8EF/T6GQrE9B8pWYLkd/fFKS0tpcJyChdfC4TBt2qXBGsnXKzdTv/CfvPLGRYzcqFk/XvFp5FcFOU+jCa5f0/LrAwtyvFyYuGDAb19ezt0vvNxv5xEEQchm2Amoa665hmAwyKhRozJmfAlDm4ceeoizzz6bLU3rmRUIsHPVNNi8nqrKKp58dhHr/9//w0rOJhsCbM+BiuNSalgoZWD5LAzD6HMIL50NGzYwf80mgnvVsWtjOYrXiFkB1k6CjWNNLLswsxlrbJjdbFKn+/e6rHVqecXdrV/PUSz8lsEB00cM9DAEQegBw05AVVVVccMNNwz0MIQCM2FCR9vFDzd8yEkHXcY94/eitG0tK049Da01ZmXlwA0wT7IdqOuuuy71u427EcrMEizT57VYAW8WXoHyk6LRKGuXLeKZA8dxx22LqK+vL8hxB5K5Az2AAuEzDYI+SeQXhKHAsBNQwvAkXXB81tbIRf/+CQAHHnggr/z9lYEaVq/JToz/+te/zn333cfKlSuJ6XbCRgi/GcD0eW6QdpyCOVCnnHIKz614DrspzlcuuoCy4ODvHygIgjDYGDqVB4Udmq5CXtm99YYKO+20U8ZyOBymtNSrtRFx2yk1S7BMf0pAYRcuhHfzzTczfsZ4qgJV3HzzzQU5piAIwo6GOFDCkKArATVq1Kgij6QwZAuoYDBIMFHHKupGKDFD+CwfPr8nmrRTuBDerFmz+M7132Fb+7ZOTpggCILQM0RACUOCrmatpedGDSVmz56dsayUSonEdredXcOfo/ywCZSWtvH3n36VyWuX8q8P7kAXqDH2wg0LOWxif1RIEwRB2DEQASUMCbpyoMrLy4s8ksJQVVXFnXfeyd133823v/1tgJQD9fiHb8Eu3na+UBTD2oMVZx+AZfkLVjDygHEHMG/ivIIcSxAEYUdEBJQwJOhKQKWqaA9BLr30Ui699NLUcvIzrl3XzG/WvQDAl770JX70zd8MyPgEQRCErpEkcmFIYOZIoK6srOS0004bgNH0D7lEYjgcHoCRCIIgCN0hAkoYkhx55JG89tprVA6h2k/dEczRDHnq1KkDMBJBEAShO0RACUOSSy65pFMi9lAnlwN14YUXFn8ggiAIQreIgBKGJIFAYKCHUHCyBdRNN91EdXX1AI1GEARB2B4ioIQhw/nnnw9AbW0tRx999ACPpvBkh/COOOKIARqJIAiC0B0yC08YMtx+++0ceeSRzJ07d7vNeIcq2Z9pqFZZFwRB2BEQASUMGcrKyrjgggsGehj9xqRJkzKWRUAJgiAMXiSEJwiDhLlz52YsSwkDQRCEwYsIKEEYJEyfPj3VI2/y5MlDtsq6IAjCjoCE8ARhkKCU4h//+AcPP/wwp512GoYhzzeCIAiDFaW1LtrJ5syZoxctWlS08wmCIAiCIPQWpdTbWus5ud6TR1xBEARBEIQ8EQElCIIgCIKQJyKgBEEQBEEQ8kQElCAIgiAIQp6IgBIEQRAEQcgTEVCCIAiCIAh5IgJKEARBEAQhT0RACYIgCIIg5IkIKEEQBEEQhDwRASUIgiAIgpAnIqAEQRAEQRDyRASUIAiCIAhCnoiAEgRBEARByBMRUIIgCIIgCHkiAkoQBEEQBCFPREAJgiAIgiDkiQgoQRAEQRCEPBEBJQiCIAiCkCcioARBEARBEPJEBJQgCIIgCEKeiIASBEEQBEHIExFQgiAIgiAIeaK01sU7mVJ1wKp+Ps0IYEs/n0PIH7kugw+5JoMTuS6DD7kmg5NiXJdJWuvaXG8UVUAVA6XUIq31nIEeh5CJXJfBh1yTwYlcl8GHXJPByUBfFwnhCYIgCIIg5IkIKEEQBEEQhDwZjgLqzoEegJATuS6DD7kmgxO5LoMPuSaDkwG9LsMuB0oQBEEQBKG/GY4OlCAIgiAIQr8yrASUUuoYpdQnSqmlSqmrB3o8OyJKqQlKqReVUouVUh8ppa5IrK9WSj2rlPos8f+qgR7rjoZSylRKvaOU+ldiWa7JAKOUqlRKPaqUWpL4N7O/XJeBRSl1ZeJv14dKqYeUUkG5JsVHKfVHpdRmpdSHaeu6vA5KqWsS9/5PlFJHF2OMw0ZAKaVM4HbgWGA2cLZSavbAjmqHxAa+pbXeGdgP+J/EdbgaeF5rPQN4PrEsFJcrgMVpy3JNBp5bgWe01rOA3fGuj1yXAUIpNQ64HJijtd4FMIEvItdkIPgTcEzWupzXIXGP+SLwucQ+v01ogn5l2AgoYB9gqdZ6udY6BjwMnDzAY9rh0Fpv0Fr/N/G6Ge+GMA7vWtyb2Oxe4JQBGeAOilJqPHA8cFfaarkmA4hSqhw4GLgbQGsd01o3INdloLGAkFLKAkqA9cg1KTpa6/nAtqzVXV2Hk4GHtdZRrfUKYCmeJuhXhpOAGgesSVtem1gnDBBKqcnAnsCbwCit9QbwRBYwcgCHtiPyK+AqwE1bJ9dkYJkK1AH3JEKrdymlSpHrMmBordcBPwNWAxuARq31f5BrMljo6joMyP1/OAkolWOdTDEcIJRSYeBvwDe01k0DPZ4dGaXUCcBmrfXbAz0WIQML2Av4ndZ6T6AVCQ0NKImcmpOBKcBYoFQpdd7AjkroAQNy/x9OAmotMCFteTye9SoUGaWUD088/Vlr/ffE6k1KqTGJ98cAmwdqfDsgBwAnKaVW4oW2D1dKPYBck4FmLbBWa/1mYvlRPEEl12XgOBJYobWu01rHgb8Dc5FrMljo6joMyP1/OAmot4AZSqkpSik/XkLZEwM8ph0OpZTCy+lYrLX+RdpbTwBfSrz+EvCPYo9tR0VrfY3WerzWejLev4sXtNbnIddkQNFabwTWKKVmJlYdAXyMXJeBZDWwn1KqJPG37Ai8PE65JoODrq7DE8AXlVIBpdQUYAawsL8HM6wKaSqljsPL9TCBP2qtbxzYEe14KKUOBF4BPqAj3+a7eHlQjwAT8f5InaG1zk4QFPoZpdShwLe11icopWqQazKgKKX2wEvs9wPLgYvwHmzlugwQSqkfAmfhzSh+B7gECCPXpKgopR4CDgVGAJuA64HH6eI6KKWuBS7Gu27f0Fo/3e9jHE4CShAEQRAEoRgMpxCeIAiCIAhCURABJQiCIAiCkCcioARBEARBEPJEBJQgCIIgCEKeiIASBEEQBEHIExFQgiAIgiAIeSICShAEQRAEIU9EQAmCIAiCIOTJ/w831KAdb775bwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import numpy.random as nprd\n", + "nprd.seed(19880505)\n", + "N_path=1\n", + "t=np.linspace(0.0,100,1000)\n", + "epsilon=np.sqrt(t[1]-t[0])\n", + "increment=nprd.normal(0,epsilon,len(t))\n", + "Bt=np.cumsum(increment)\n", + "S1=np.zeros(len(t))\n", + "S2=np.zeros(len(t))\n", + "S3=np.zeros(len(t))\n", + "S4=np.zeros(len(t))\n", + "S5=np.zeros(len(t))\n", + "for i in range(len(t)):\n", + " S1[i]=Bt[200*int(i/200)]\n", + " S2[i]=Bt[100*int(i/100)]\n", + " S3[i]=Bt[50*int(i/50)]\n", + " S4[i]=Bt[10*int(i/10)]\n", + " S5[i]=Bt[5*int(i/5)]\n", + "import matplotlib.pyplot as plt \n", + "%matplotlib inline\n", + "\n", + "# 设定图像大小\n", + "plt.rcParams['figure.figsize'] = (10.0, 10.0)\n", + "fig=plt.figure()\n", + "plt.plot(t,Bt, linewidth=3, c='black', label=r'Brownian Motion $B_t$')\n", + "plt.plot(t,S1, linewidth=2.2, label=r'$S_{t}^{(5)}$')\n", + "plt.plot(t,S2, linewidth=1.5, label=r'$S_{t}^{(10)}$')\n", + "plt.plot(t,S3, linewidth=1, label=r'$S_{t}^{(20)}$')\n", + "plt.plot(t,S4, linewidth=0.8, label=r'$S_{t}^{(100)}$')\n", + "plt.plot(t,S5, linewidth=0.5, label=r'$S_{t}^{(200)}$')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "fig.savefig(\"sto_simple_process.eps\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "The PostScript backend does not support transparency; partially transparent artists will be rendered opaque.\n" + ] + } + ], + "source": [ + "plt.rcParams['figure.figsize'] = (10.0, 10.0)\n", + "fig=plt.figure()\n", + "plt.plot(t,(S1-S2)**2, linewidth=2, label=r'$\\left(S_{t}^{(5)}-S_{t}^{(10)}\\right)^2$')\n", + "plt.plot(t,(S2-S3)**2, linewidth=1.5, label=r'$\\left(S_{t}^{(10)}-S_{t}^{(20)}\\right)^2$')\n", + "plt.plot(t,(S3-S4)**2, linewidth=1, label=r'$\\left(S_{t}^{(20)}-S_{t}^{(100)}\\right)^2$')\n", + "plt.plot(t,(S4-S5)**2, linewidth=1, label=r'$\\left(S_{t}^{(100)}-S_{t}^{(200)}\\right)^2$')\n", + "plt.legend(loc='upper left', frameon=True)\n", + "plt.show() ## 画图\n", + "fig.savefig(\"sto_delta_simple_process.eps\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Anaconda", + "language": "python", + "name": "anaconda" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.12" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebook_python/Testing.ipynb b/notebook_python/Testing.ipynb index 47f7db3..59244dd 100644 --- a/notebook_python/Testing.ipynb +++ b/notebook_python/Testing.ipynb @@ -19,12 +19,14 @@ "outputs": [ { "data": { - "image/png": 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Xuo4CBJyvv/5aa9asOfRYGiAUUNCAADBs2DBFRESwzAkcwcHzailoCCUUNCAA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\nrGBcoJmZmZkVjAs0MzMzs4L5H5EBC9sDmRNUAAAAAElFTkSuQmCC\n", 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", "text/plain": [ - "" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -109,29 +111,36 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/ipykernel_launcher.py:29: RuntimeWarning: divide by zero encountered in double_scalars\n", - "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/ipykernel_launcher.py:44: RuntimeWarning: divide by zero encountered in log\n", - "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/ipykernel_launcher.py:44: RuntimeWarning: invalid value encountered in multiply\n" + "/tmp/ipykernel_5634/2438217076.py:29: RuntimeWarning: divide by zero encountered in double_scalars\n", + " z=np.sqrt(len(x))*(phat-p0)/np.sqrt(phat*(1-phat))\n", + "/tmp/ipykernel_5634/2438217076.py:44: RuntimeWarning: divide by zero encountered in log\n", + " L=N1*np.log(phat)+(N-N1)*np.log(1-phat)\n", + "/tmp/ipykernel_5634/2438217076.py:44: RuntimeWarning: invalid value encountered in multiply\n", + " L=N1*np.log(phat)+(N-N1)*np.log(1-phat)\n" ] }, { "data": { - "image/png": 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CaQVkpbu+lT5UU1PDvHnzvrkc0N7uVs8OOQTOOMPreHtNBVqwTJ4M8fHbraKN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\n/s3hzz4jEAiQ5TXcnjMLtEig5P9YqcX3nUEpNVw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HA37dar7sl1Gkncgz3Zu1Izxux4BT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\nOxz8fOONnDx50uq34B68vKBZfdMS9cceOHzM2jyn98D0K/0emIEBZtX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IBg4IIUrFLySE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", 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KReNcp0iI0ECTkLZ8j73ouGQxaxYtdp0iIn6s27x51PXpS3xGhusUCREaaBLS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\nxpixxpjPjDG7jTGzG3j9F8aYT40x240x7xhjejqRM5B4UNP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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -282,9 +291,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Anaconda", "language": "python", - "name": "python3" + "name": "anaconda" }, "language_info": { "codemirror_mode": { @@ -296,7 +305,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.9.12" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/notebook_python/estimation.ipynb b/notebook_python/estimation.ipynb index 7ec3e0e..b6ee114 100644 --- a/notebook_python/estimation.ipynb +++ b/notebook_python/estimation.ipynb @@ -18,9 +18,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "Bias = [ 0.0392831 0.01443088]\n", - "s.e. = [ 0.35045361 0.10847059]\n", - "RMSE = [ 0.3526484 0.10942632]\n" + "Bias = [0.04160227 0.0142872 ]\n", + "s.e. = [0.33877233 0.10751308]\n", + "RMSE = [0.34131722 0.10845823]\n" ] } ], @@ -83,9 +83,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "Bias = [ 0.0677773 0.0104206]\n", - "s.e. = [ 0.31265354 0.0886861 ]\n", - "RMSE = [ 0.31991561 0.08929621]\n" + "Bias = [0.04085049 0.00445378]\n", + "s.e. = [0.3179479 0.08854558]\n", + "RMSE = [0.32056143 0.08865752]\n" ] } ], @@ -153,7 +153,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "The prob. of included= 0.943\n" + "The prob. of included= 0.942\n" ] } ], @@ -207,11 +207,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "Sample size=10, the prob. of included= 0.909\n", - "Sample size=50, the prob. of included= 0.951\n", - "Sample size=100, the prob. of included= 0.95\n", - "Sample size=500, the prob. of included= 0.942\n", - "Sample size=1000, the prob. of included= 0.95\n" + "Sample size=10, the prob. of included= 0.93\n", + "Sample size=50, the prob. of included= 0.94\n", + "Sample size=100, the prob. of included= 0.94\n", + "Sample size=500, the prob. of included= 0.955\n", + "Sample size=1000, the prob. of included= 0.948\n" ] } ], @@ -261,9 +261,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Anaconda", "language": "python", - "name": "python3" + "name": "anaconda" }, "language_info": { "codemirror_mode": { @@ -275,7 +275,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.9.12" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/notebook_python/rejection_beta.pdf b/notebook_python/rejection_beta.pdf new file mode 100644 index 0000000..af9b5ea Binary files /dev/null and b/notebook_python/rejection_beta.pdf differ