diff --git a/.gitmodules b/.gitmodules new file mode 100644 index 00000000..6e1bee63 --- /dev/null +++ b/.gitmodules @@ -0,0 +1,3 @@ +[submodule "assMath/probStat/aakashks/kalman_assignment"] + path = assMath/probStat/aakashks/kalman_assignment + url = https://github.com/aakashks/kalman_filter_assignment diff --git a/README.md b/README.md index 422082cd..fdbd59be 100644 --- a/README.md +++ b/README.md @@ -18,5 +18,11 @@ https://www.kaggle.com/datasets/ahmedmohameddawoud/ecommerce-ab-testing Look at the code contributions in the link to get an idea of how its implemented. -## MATH-2 +## MATH & ML + +The assignment has been divided into 3 parts and you are expected to: +### -Complete atleast one part by 21st - https://hackmd.io/1GLPNImwQbCbYNeIHc5Bww?view +### -Complete atleast two parts by 25th -https://drive.google.com/file/d/1yD35uuig5mYxQlbi3mnPl0htKtcCheHp/view?usp=sharing +### -Complete the entire assignment by 28th - https://hackmd.io/rRMAoU02RbyASZGMrubPPA?view + ## ML-0 diff --git a/aakashks/Git-Bash_aakashks/ML_automation/ML_script.py b/aakashks/Git-Bash_aakashks/ML_automation/ML_script.py new file mode 100644 index 00000000..b4d0858f --- /dev/null +++ b/aakashks/Git-Bash_aakashks/ML_automation/ML_script.py @@ -0,0 +1,38 @@ +import argparse +import pandas as pd +from sklearn.ensemble import RandomForestClassifier + +parser = argparse.ArgumentParser() +parser.add_argument('-d', '--train-data') +parser.add_argument('-t', '--test-data') +parser.add_argument('-f', '--target-feature') +parser.add_argument('-p', '--parameters', nargs=2, type=int) + +args = parser.parse_args() + +# Assuming that the data file train_data is preprocessed +train_data = pd.read_csv(args.train_data_path) +test_data = pd.read_csv(args.test_data_path) + +# Separating X and y +y = train_data[args.target_feature] +X = train_data.drop(args.target_feature) +X_test = test_data.drop(args.target_feature) + +model = RandomForestClassifier( + n_estimators=args.parameters[0], + max_depth=args.parameters[1], + random_state=42 +) + +print('Fitting model') +model.fit(X, y) + +print('generating predictions') +predictions = model.predict(X_test) +output_predictions = pd.DataFrame( + {'ID': test_data.index, args.target_feature: predictions} +) + +print('Saving predictions in a file') +output_predictions.to_csv('./submissions.csv', index=False) \ No newline at end of file diff --git a/aakashks/Git-Bash_aakashks/ML_automation/README.md b/aakashks/Git-Bash_aakashks/ML_automation/README.md new file mode 100644 index 00000000..20c7f42d --- /dev/null +++ b/aakashks/Git-Bash_aakashks/ML_automation/README.md @@ -0,0 +1,7 @@ +# ML automation script using bash and argparse + +The script is supposed to take preprocessed csv file paths and fit the model with user defined parameters +then the predictions are output to submissions file and the logs are logged into output.txt. + +It uses a Random Forest Classifier on the data. User needs to specify the n_estimators and max_depth +parameters of the sklearn model. diff --git a/aakashks/Git-Bash_aakashks/ML_automation/automate_script.sh b/aakashks/Git-Bash_aakashks/ML_automation/automate_script.sh new file mode 100644 index 00000000..deb46bca --- /dev/null +++ b/aakashks/Git-Bash_aakashks/ML_automation/automate_script.sh @@ -0,0 +1,16 @@ +#!/bin/bash + +output_path=./output.txt + +# Getting input from user +echo 'path of training data: ' +read train_data_path +echo 'path of test data: ' +read test_data_path + +read -p 'target feature name: ' target_feature +read -p 'model parameters: ' n_estimators max_depth + +# Running python script +python ML_script.py -d $train_data_path -t $test_data_path \ + -f $target_feature -p $n_estimators $max_depth &> $output_path diff --git a/aakashks/Git-Bash_aakashks/README.md b/aakashks/Git-Bash_aakashks/README.md new file mode 100644 index 00000000..a99a8c21 --- /dev/null +++ b/aakashks/Git-Bash_aakashks/README.md @@ -0,0 +1,8 @@ +## task 1 & 2 +in respective .md files + +## task 4 +[automate_script](automate_script.sh) + +## task 5 +done diff --git a/aakashks/Git-Bash_aakashks/bandit.md b/aakashks/Git-Bash_aakashks/bandit.md new file mode 100644 index 00000000..c061dd0f --- /dev/null +++ b/aakashks/Git-Bash_aakashks/bandit.md @@ -0,0 +1,68 @@ +# bandit solutions + +```bash +ssh bandit0@bandit.labs.overthewire.org -p 2220 +``` + +0. cat readme +1. cat ./- +2. cat "spaces in this filename" +3. + +```bash +ls -al +cat .hidden +``` + +4. + +```bash +ll +find . -type f | xargs file | grep text +cat ./-file07 +``` + +5. find . -type f -size 1033c ! -executable +6. find / -type f -size 33c ! -executable -user bandit7 -group bandit6 2>/dev/null + +for this one handling error stream is very important as it was displaying errors with the required output. hence 2> :error stream, /dev/null is what prints null + +7. cat data.txt | grep millionth +8. sort data.txt | uniq -u +9. strings data.txt | grep === +10. base64 --decode data.txt | cat +11. cat data.txt | tr 'a-zA-Z' 'n-za-mN-ZA-M' +12. + +```bash +# make folder +mkdir /tmp/temp +mkdir /tmp/t11 +cd /tmp/t11 +cp ~/data.txt . +mv data.txt hex_dump.txt + +# convert hex dump to ASCII +xxd -r hex_dump.txt > compressed.bin + +# now we'll check zip type with +file filename + +# and use zcat, bzcat to get tar file +# for tar file we use tar -xvf +# after many times we get the text + +zcat compressed.bin > compressed2 +bzcat compressed2 > compressed3 +tar -xvf compressed4 +``` + +13. ssh -i sshkey.private bandit14@bandit.labs.overthewire.org -p 2220 + +14. +cat /etc/bandit_pass/bandit14 +echo fGrHPx402xGC7U7rXKDaxiWFTOiF0ENq | nc localhost 30000 + +15.echo jN2kgmIXJ6fShzhT2avhotn4Zcka6tnt | openssl s_client -connect localhost:30001 -ign_eof + +password for 16 => JQttfApK4SeyHwDlI9SXGR50qclOAil1 diff --git a/aakashks/Git-Bash_aakashks/git-immersion.md b/aakashks/Git-Bash_aakashks/git-immersion.md new file mode 100644 index 00000000..f23a3051 --- /dev/null +++ b/aakashks/Git-Bash_aakashks/git-immersion.md @@ -0,0 +1,744 @@ +```bash +aks ~/git_tutorial +$ cd work/ + +aks ~/git_tutorial/work +$ mkdir hello + +aks ~/git_tutorial/work +$ cd hello + +aks ~/git_tutorial/work/hello +$ git init + +aks ~/git_tutorial/work/hello (master) +$ touch hello.py + +aks ~/git_tutorial/work/hello (master) +$ vim hello.py + +aks ~/git_tutorial/work/hello (master) +$ git add hello.py +fatal: LF would be replaced by CRLF in hello.py + +aks ~/git_tutorial/work/hello (master) +$ git config --global core.safecrlf warn + +aks ~/git_tutorial/work/hello (master) +$ git add hello.py +warning: in the working copy of 'hello.py', LF will be replaced by CRLF the next time Git touches it + +aks ~/git_tutorial/work/hello (master) +$ git commit -m "first commit" +[master (root-commit) 8b084ab] first commit + 1 file changed, 1 insertion(+) + create mode 100644 hello.py + +aks ~/git_tutorial/work/hello (master) +$ git status +On branch master +nothing to commit, working tree clean + +aks ~/git_tutorial/work/hello (master) +$ git status +On branch master +Changes not staged for commit: + (use "git add ..." to update what will be committed) + (use "git restore ..." to discard changes in working directory) + modified: hello.py + +no changes added to commit (use "git add" and/or "git commit -a") + +aks ~/git_tutorial/work/hello (master) +$ + +aks ~/git_tutorial/work/hello (master) +$ git add hello.py +warning: in the working copy of 'hello.py', LF will be replaced by CRLF the next time Git touches it + +aks ~/git_tutorial/work/hello (master) +$ rm hello.py + +aks ~/git_tutorial/work/hello (master) +$ touch hello.py + +aks ~/git_tutorial/work/hello (master) +$ git add hello.py + +aks ~/git_tutorial/work/hello (master) +$ git status +On branch master +Changes to be committed: + (use "git restore --staged ..." to unstage) + modified: hello.py + + +aks ~/git_tutorial/work/hello (master) +$ git commit +hint: Waiting for your editor to close the file... "C:\Softwares\Microsoft VS Code\Code.exe" --wait: line 1: C:\Softwares\Microsoft VS Code\Code.exe: No such file or directory +error: There was a problem with the editor '"C:\Softwares\Microsoft VS Code\Code.exe" --wait'. +Please supply the message using either -m or -F option. + +aks ~/git_tutorial/work/hello (master) +$ git commit +hint: Waiting for your editor to close the file... "C:\Softwares\Microsoft VS Code\Code.exe" --wait: line 1: C:\Softwares\Microsoft VS Code\Code.exe: No such file or directory +error: There was a problem with the editor '"C:\Softwares\Microsoft VS Code\Code.exe" --wait'. +Please supply the message using either -m or -F option. + +aks ~/git_tutorial/work/hello (master) +$ nano --version + GNU nano, version 7.0 + (C) 2022 the Free Software Foundation and various contributors + Compiled options: --enable-utf8 + +aks ~/git_tutorial/work/hello (master) +$ git config core.editor "nano" + +aks ~/git_tutorial/work/hello (master) +$ git commit +[master dcfb54d] fixed CRLF issue didn't use Vim (which was the reason) + 1 file changed, 1 insertion(+), 1 deletion(-) + +aks ~/git_tutorial/work/hello (master) +$ emacsclient +bash: emacsclient: command not found + +aks ~/git_tutorial/work/hello (master) +$ git status +On branch master +nothing to commit, working tree clean + + +aks ~/git_tutorial/work/hello (master) +$ git hist +* ffb9efe 2023-05-02 | Added a comment (HEAD -> master) [aakashks] +* e6c326a 2023-05-02 | Added a default value [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git checkout 8b084ab +Note: switching to '8b084ab'. + +You are in 'detached HEAD' state. You can look around, make experimental +changes and commit them, and you can discard any commits you make in this +state without impacting any branches by switching back to a branch. + +If you want to create a new branch to retain commits you create, you may +do so (now or later) by using -c with the switch command. Example: + + git switch -c + +Or undo this operation with: + + git switch - + +Turn off this advice by setting config variable advice.detachedHead to false + +HEAD is now at 8b084ab first commit + +aks ~/git_tutorial/work/hello ((8b084ab...)) +$ cat hello.py +print('hello world') + +aks ~/git_tutorial/work/hello ((8b084ab...)) +$ git checkout master +Previous HEAD position was 8b084ab first commit +Switched to branch 'master' + +aks ~/git_tutorial/work/hello (master) +$ cat hello.py +import sys + +# Default is "World" +name = "World" if len(sys.argv)==1 else sys.argv[1] + +print(f'Hello, {name}!') +aks ~/git_tutorial/work/hello (master) +$ git tag v1 + +aks ~/git_tutorial/work/hello (master) +$ git checkout v1^ +Note: switching to 'v1^'. + +You are in 'detached HEAD' state. You can look around, make experimental +changes and commit them, and you can discard any commits you make in this +state without impacting any branches by switching back to a branch. + +If you want to create a new branch to retain commits you create, you may +do so (now or later) by using -c with the switch command. Example: + + git switch -c + +Or undo this operation with: + + git switch - + +Turn off this advice by setting config variable advice.detachedHead to false + +HEAD is now at e6c326a Added a default value + +aks ~/git_tutorial/work/hello ((e6c326a...)) +$ cat hello.py +import sys + +name = "World" if len(sys.argv)==1 else sys.argv[1] + +print(f'Hello, {name}!') +aks ~/git_tutorial/work/hello ((e6c326a...)) +$ git tag v1-beta + +aks ~/git_tutorial/work/hello ((v1-beta)) +$ git checkout v1 +Previous HEAD position was e6c326a Added a default value +HEAD is now at ffb9efe Added a comment + +aks ~/git_tutorial/work/hello ((v1)) +$ git checkout v1-beta +Previous HEAD position was ffb9efe Added a comment +HEAD is now at e6c326a Added a default value + +aks ~/git_tutorial/work/hello ((v1-beta)) +$ git tag +v1 +v1-beta + +aks ~/git_tutorial/work/hello ((v1-beta)) +$ git hist master --all +* ffb9efe 2023-05-02 | Added a comment (tag: v1, master) [aakashks] +* e6c326a 2023-05-02 | Added a default value (HEAD, tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello ((v1-beta)) +$ git checkout master +Previous HEAD position was e6c326a Added a default value +Switched to branch 'master' + +aks ~/git_tutorial/work/hello (master) +$ git status +On branch master +Changes not staged for commit: + (use "git add ..." to update what will be committed) + (use "git restore ..." to discard changes in working directory) + modified: hello.py + +no changes added to commit (use "git add" and/or "git commit -a") + +aks ~/git_tutorial/work/hello (master) +$ git restore hello.py + +aks ~/git_tutorial/work/hello (master) +$ git status +On branch master +nothing to commit, working tree clean + +aks ~/git_tutorial/work/hello (master) +$ cat hello.py +import sys + +# Default is "World" +name = "World" if len(sys.argv)==1 else sys.argv[1] + +print(f'Hello, {name}!') +aks ~/git_tutorial/work/hello (master) +$ + + +aks ~/git_tutorial/work/hello (master) +$ git add hello.py + +aks ~/git_tutorial/work/hello (master) +$ git status +On branch master +Changes to be committed: + (use "git restore --staged ..." to unstage) + modified: hello.py + + +aks ~/git_tutorial/work/hello (master) +$ git restore --staged hello.py + +aks ~/git_tutorial/work/hello (master) +$ git checkout hello.py +Updated 1 path from the index + +aks ~/git_tutorial/work/hello (master) +$ git status +On branch master +nothing to commit, working tree clean + +aks ~/git_tutorial/work/hello (master) +$ git add hello.py + +aks ~/git_tutorial/work/hello (master) +$ git commit -m "Oops, we didn't want this commit" +[master eb7f05b] Oops, we didn't want this commit + 1 file changed, 1 insertion(+), 1 deletion(-) + +aks ~/git_tutorial/work/hello (master) +$ git reflog +eb7f05b (HEAD -> master) HEAD@{0}: commit: Oops, we didn't want this commit +ffb9efe (tag: v1) HEAD@{1}: checkout: moving from e6c326af6f1ec5a9809b5421686cf1beffa01860 to master +e6c326a (tag: v1-beta) HEAD@{2}: checkout: moving from ffb9efeb1222e907a60bb1d154bacf42db9256ba to v1-beta +ffb9efe (tag: v1) HEAD@{3}: checkout: moving from e6c326af6f1ec5a9809b5421686cf1beffa01860 to v1 +e6c326a (tag: v1-beta) HEAD@{4}: checkout: moving from master to v1^ +ffb9efe (tag: v1) HEAD@{5}: checkout: moving from 8b084ab5e1ea1483263125b8d628fe0f199d27f1 to master +8b084ab HEAD@{6}: checkout: moving from master to 8b084ab +ffb9efe (tag: v1) HEAD@{7}: commit: Added a comment +e6c326a (tag: v1-beta) HEAD@{8}: commit: Added a default value +dcfb54d HEAD@{9}: commit: fixed CRLF issue +8b084ab HEAD@{10}: commit (initial): first commit + +aks ~/git_tutorial/work/hello (master) +$ git revert HEAD +[master e5eb51a] Revert "Oops, we didn't want this commit" + 1 file changed, 1 insertion(+), 1 deletion(-) + +aks ~/git_tutorial/work/hello (master) +$ git hist +* e5eb51a 2023-05-03 | Revert "Oops, we didn't want this commit" (HEAD -> master) [aakashks] +* eb7f05b 2023-05-03 | Oops, we didn't want this commit [aakashks] +* ffb9efe 2023-05-02 | Added a comment (tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git tag oops + +aks ~/git_tutorial/work/hello (master) +$ git reflog +e5eb51a (HEAD -> master, tag: oops) HEAD@{0}: revert: Revert "Oops, we didn't want this commit" +eb7f05b HEAD@{1}: commit: Oops, we didn't want this commit +ffb9efe (tag: v1) HEAD@{2}: checkout: moving from e6c326af6f1ec5a9809b5421686cf1beffa01860 to master +e6c326a (tag: v1-beta) HEAD@{3}: checkout: moving from ffb9efeb1222e907a60bb1d154bacf42db9256ba to v1-beta +ffb9efe (tag: v1) HEAD@{4}: checkout: moving from e6c326af6f1ec5a9809b5421686cf1beffa01860 to v1 +e6c326a (tag: v1-beta) HEAD@{5}: checkout: moving from master to v1^ +ffb9efe (tag: v1) HEAD@{6}: checkout: moving from 8b084ab5e1ea1483263125b8d628fe0f199d27f1 to master +8b084ab HEAD@{7}: checkout: moving from master to 8b084ab +ffb9efe (tag: v1) HEAD@{8}: commit: Added a comment +e6c326a (tag: v1-beta) HEAD@{9}: commit: Added a default value +dcfb54d HEAD@{10}: commit: fixed CRLF issue +8b084ab HEAD@{11}: commit (initial): first commit + +aks ~/git_tutorial/work/hello (master) +$ git reset --hard v1 +HEAD is now at ffb9efe Added a comment + +aks ~/git_tutorial/work/hello (master) +$ git hist +* ffb9efe 2023-05-02 | Added a comment (HEAD -> master, tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git hist --all +* e5eb51a 2023-05-03 | Revert "Oops, we didn't want this commit" (tag: oops) [aakashks] +* eb7f05b 2023-05-03 | Oops, we didn't want this commit [aakashks] +* ffb9efe 2023-05-02 | Added a comment (HEAD -> master, tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git tag -d oops +Deleted tag 'oops' (was e5eb51a) + +aks ~/git_tutorial/work/hello (master) +$ git hist --all +* ffb9efe 2023-05-02 | Added a comment (HEAD -> master, tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git add hello.py + +aks ~/git_tutorial/work/hello (master) +$ git commit -m "add an author comment" +[master 440a1c9] add an author comment + 1 file changed, 1 insertion(+) + +aks ~/git_tutorial/work/hello (master) +$ git add hello.py + +aks ~/git_tutorial/work/hello (master) +$ git commit --amend -m "Add author/email comment" +[master 30ba952] Add author/email comment + Date: Wed May 3 12:35:12 2023 +0530 + 1 file changed, 1 insertion(+) + +aks ~/git_tutorial/work/hello (master) +$ git hist +* 30ba952 2023-05-03 | Add author/email comment (HEAD -> master) [aakashks] +* ffb9efe 2023-05-02 | Added a comment (tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git log +commit 30ba9528d0ee1c2dbe04db216df8a5432a999da6 (HEAD -> master) +Author: aakashks <114357454+aakashks@users.noreply.github.com> +Date: Wed May 3 12:35:12 2023 +0530 + + Add author/email comment + +commit ffb9efeb1222e907a60bb1d154bacf42db9256ba (tag: v1) +Author: aakashks <114357454+aakashks@users.noreply.github.com> +Date: Tue May 2 23:50:06 2023 +0530 + + Added a comment + +commit e6c326af6f1ec5a9809b5421686cf1beffa01860 (tag: v1-beta) +Author: aakashks <114357454+aakashks@users.noreply.github.com> +Date: Tue May 2 23:49:08 2023 +0530 + + Added a default value + +commit dcfb54d9753d2027fcd1a8b8d0e520eedafea90a +Author: aakashks <114357454+aakashks@users.noreply.github.com> +Date: Tue May 2 22:27:25 2023 +0530 + + fixed CRLF issue + didn't use Vim (which was the reason) + +commit 8b084ab5e1ea1483263125b8d628fe0f199d27f1 +Author: aakashks <114357454+aakashks@users.noreply.github.com> +Date: Tue May 2 17:35:05 2023 +0530 + + first commit + +aks ~/git_tutorial/work/hello (master) +$ mkdir lib + +aks ~/git_tutorial/work/hello (master) +$ git mv hello.py lib + +aks ~/git_tutorial/work/hello (master) +$ git status +On branch master +Changes to be committed: + (use "git restore --staged ..." to unstage) + renamed: hello.py -> lib/hello.py + + +aks ~/git_tutorial/work/hello (master) +$ git commit -m "Moved hello.py to lib" +[master dddb219] Moved hello.py to lib + 1 file changed, 0 insertions(+), 0 deletions(-) + rename hello.py => lib/hello.py (100%) + +aks ~/git_tutorial/work/hello (master) +$ ls -C .git +COMMIT_EDITMSG description hooks/ info/ objects/ packed-refs +config HEAD index logs/ ORIG_HEAD refs/ + +aks ~/git_tutorial/work/hello (master) +$ ls -C .git/objects/ +0b/ 24/ 44/ 72/ 79/ 8b/ b0/ be/ c8/ dd/ e6/ ed/ fe/ info/ +1c/ 30/ 48/ 75/ 7b/ 9a/ b7/ c1/ dc/ e5/ eb/ f4/ ff/ pack/ + +aks ~/git_tutorial/work/hello (master) +$ ls -C .git/objects/0b +22a851ca4343f463ecc250179f8552b3551408 + +aks ~/git_tutorial/work/hello (master) +$ cat .git/config +[core] + repositoryformatversion = 0 + filemode = false + bare = false + logallrefupdates = true + ignorecase = true + editor = nano +[alias] + co = checkout + ci = commit + st = status + br = branch + hist = log --pretty=format:'%h %ad | %s%d [%an]' --graph --date=short + type = cat-file -t + dump = cat-file -p +aks ~/git_tutorial/work/hello (master) +$ ls .git/refs/ +heads/ tags/ + +aks ~/git_tutorial/work/hello (master) +$ ls .git/refs/heads/ +master + +aks ~/git_tutorial/work/hello (master) +$ ls .git/refs/tags/ +v1 v1-beta + +aks ~/git_tutorial/work/hello (master) +$ cat .git/refs/tags/v1 +ffb9efeb1222e907a60bb1d154bacf42db9256ba + +aks ~/git_tutorial/work/hello (master) +$ cat .git/HEAD +ref: refs/heads/master + +aks ~/git_tutorial/work/hello (master) +$ git hist --max-count=1 +* dddb219 2023-05-03 | Moved hello.py to lib (HEAD -> master) [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git cat-file -t dddb219 +commit + +aks ~/git_tutorial/work/hello (master) +$ git cat-file -p dddb219 +tree 48e5a58f91d7c074a5418f37bd21d5928e57094b +parent 30ba9528d0ee1c2dbe04db216df8a5432a999da6 +author aakashks <114357454+aakashks@users.noreply.github.com> 1683097839 +0530 +committer aakashks <114357454+aakashks@users.noreply.github.com> 1683097839 +0530 + +Moved hello.py to lib + +aks ~/git_tutorial/work/hello (master) +$ git hist +* dddb219 2023-05-03 | Moved hello.py to lib (HEAD -> master) [aakashks] +* 30ba952 2023-05-03 | Add author/email comment [aakashks] +* ffb9efe 2023-05-02 | Added a comment (tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git cat-file -p 48e5a58f91d7c074a5418f37bd21d5928e57094b +040000 tree b01b1a1b8a8fb7bc0431190075399748331d981a lib + +aks ~/git_tutorial/work/hello (master) +$ git cat-file -p b01b1a1b8a8fb7bc0431190075399748331d981a +100644 blob beab0445092483a354afe792719f9dd9f7f85ccc hello.py + +aks ~/git_tutorial/work/hello (master) +$ git cat-file -p beab0445092483a354afe792719f9dd9f7f85ccc +import sys + +# Default is "World" +# Author: Jim Weirich (jim@gamil.com) +name = "World" if len(sys.argv)==1 else sys.argv[1] + +print(f'Hello, {name}!') +aks ~/git_tutorial/work/hello (master) +$ git checkout -b greet +Switched to a new branch 'greet' + +aks ~/git_tutorial/work/hello (greet) +$ git status +On branch greet +nothing to commit, working tree clean + +aks ~/git_tutorial/work/hello (greet) +$ cd lib/ + +aks ~/git_tutorial/work/hello/lib (greet) +$ touch greeter.py + +aks ~/git_tutorial/work/hello/lib (greet) +$ nano greeter.py + +aks ~/git_tutorial/work/hello/lib (greet) +$ cd .. + +aks ~/git_tutorial/work/hello (greet) +$ git add . +warning: in the working copy of 'lib/greeter.py', LF will be replaced by CRLF the next time Git touches it + +aks ~/git_tutorial/work/hello (greet) +$ git commit -m "Added greeter class" +[greet c325ccf] Added greeter class + 1 file changed, 6 insertions(+) + create mode 100644 lib/greeter.py + +aks ~/git_tutorial/work/hello (greet) +$ git add . +warning: in the working copy of 'lib/greeter.py', LF will be replaced by CRLF the next time Git touches it + +aks ~/git_tutorial/work/hello (greet) +$ git add . + +aks ~/git_tutorial/work/hello (greet) +$ git commit -m "Hello uses Greeter" +[greet f62f430] Hello uses Greeter + 2 files changed, 4 insertions(+), 2 deletions(-) + +aks ~/git_tutorial/work/hello (greet) +$ git hist +* f62f430 2023-05-03 | Hello uses Greeter (HEAD -> greet) [aakashks] +* c325ccf 2023-05-03 | Added greeter class [aakashks] +* dddb219 2023-05-03 | Moved hello.py to lib (master) [aakashks] +* 30ba952 2023-05-03 | Add author/email comment [aakashks] +* ffb9efe 2023-05-02 | Added a comment (tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (greet) +$ git checkout master +Switched to branch 'master' + +aks ~/git_tutorial/work/hello (master) +$ cat lib/hello.py +import sys + +# Default is "World" +# Author: Jim Weirich (jim@gamil.com) +name = "World" if len(sys.argv)==1 else sys.argv[1] + +print(f'Hello, {name}!') +aks ~/git_tutorial/work/hello (master) +$ git checkout greet +Switched to branch 'greet' + +aks ~/git_tutorial/work/hello (greet) +$ cat lib/hello.py +import sys +from greeter import Greeter + +# Default is "World" +# Author: Jim Weirich (jim@gamil.com) +name = "World" if len(sys.argv)==1 else sys.argv[1] + +greeter = Greeter(name) +print(greeter.greet) +aks ~/git_tutorial/work/hello (greet) +$ git checkout master +Switched to branch 'master' + +aks ~/git_tutorial/work/hello (master) +$ git add README.md + +aks ~/git_tutorial/work/hello (master) +$ git commit -m "Added README" +[master 75fa565] Added README + 1 file changed, 1 insertion(+) + create mode 100644 README.md + +aks ~/git_tutorial/work/hello (master) +$ git hist --all +* 75fa565 2023-05-03 | Added README (HEAD -> master) [aakashks] +| * f62f430 2023-05-03 | Hello uses Greeter (greet) [aakashks] +| * c325ccf 2023-05-03 | Added greeter class [aakashks] +|/ +* dddb219 2023-05-03 | Moved hello.py to lib [aakashks] +* 30ba952 2023-05-03 | Add author/email comment [aakashks] +* ffb9efe 2023-05-02 | Added a comment (tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git checkout greet +Switched to branch 'greet' + +aks ~/git_tutorial/work/hello (greet) +$ git merge master +Merge made by the 'ort' strategy. + README.md | 1 + + 1 file changed, 1 insertion(+) + create mode 100644 README.md + +aks ~/git_tutorial/work/hello (greet) +$ git hist --all +* a8308a1 2023-05-03 | Merge branch 'master' into greet (HEAD -> greet) [aakashks] +|\ +| * 75fa565 2023-05-03 | Added README (master) [aakashks] +* | f62f430 2023-05-03 | Hello uses Greeter [aakashks] +* | c325ccf 2023-05-03 | Added greeter class [aakashks] +|/ +* dddb219 2023-05-03 | Moved hello.py to lib [aakashks] +* 30ba952 2023-05-03 | Add author/email comment [aakashks] +* ffb9efe 2023-05-02 | Added a comment (tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (greet) +$ git hist --all +* a8308a1 2023-05-03 | Merge branch 'master' into greet (HEAD -> greet) [aakashks] +|\ +| * 75fa565 2023-05-03 | Added README (master) [aakashks] +* | f62f430 2023-05-03 | Hello uses Greeter [aakashks] +* | c325ccf 2023-05-03 | Added greeter class [aakashks] +|/ +* dddb219 2023-05-03 | Moved hello.py to lib [aakashks] +* 30ba952 2023-05-03 | Add author/email comment [aakashks] +* ffb9efe 2023-05-02 | Added a comment (tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (greet) +$ git checkout master +Switched to branch 'master' + +aks ~/git_tutorial/work/hello (master) +$ git add lib/hello.py + +aks ~/git_tutorial/work/hello (master) +$ git commit -m "Made interactive" +[master 4e235ae] Made interactive + 1 file changed, 2 insertions(+), 6 deletions(-) + +aks ~/git_tutorial/work/hello (master) +$ git hist --all +* 4e235ae 2023-05-03 | Made interactive (HEAD -> master) [aakashks] +| * a8308a1 2023-05-03 | Merge branch 'master' into greet (greet) [aakashks] +| |\ +| |/ +|/| +* | 75fa565 2023-05-03 | Added README [aakashks] +| * f62f430 2023-05-03 | Hello uses Greeter [aakashks] +| * c325ccf 2023-05-03 | Added greeter class [aakashks] +|/ +* dddb219 2023-05-03 | Moved hello.py to lib [aakashks] +* 30ba952 2023-05-03 | Add author/email comment [aakashks] +* ffb9efe 2023-05-02 | Added a comment (tag: v1) [aakashks] +* e6c326a 2023-05-02 | Added a default value (tag: v1-beta) [aakashks] +* dcfb54d 2023-05-02 | fixed CRLF issue didn't use Vim (which was the reason) [aakashks] +* 8b084ab 2023-05-02 | first commit [aakashks] + +aks ~/git_tutorial/work/hello (master) +$ git checkout greet +Switched to branch 'greet' + +aks ~/git_tutorial/work/hello (greet) +$ git merge master +Auto-merging lib/hello.py +CONFLICT (content): Merge conflict in lib/hello.py +Automatic merge failed; fix conflicts and then commit the result. + +aks ~/git_tutorial/work/hello (greet|MERGING) +$ cat lib/hello.py +<<<<<<< HEAD +import sys +from greeter import Greeter + +# Default is "World" +# Author: Jim Weirich (jim@gamil.com) +name = "World" if len(sys.argv)==1 else sys.argv[1] + +greeter = Greeter(name) +print(greeter.greet) +======= +my_name = input("What's your name") + +print(f"Hello, {my_name}!") +>>>>>>> master + +aks ~/git_tutorial/work/hello (greet|MERGING) +$ git add lib/ + +aks ~/git_tutorial/work/hello (greet|MERGING) +$ git commit -m "Merged master fixed conflict." +[greet e6c66bf] Merged master fixed conflict. + +aks ~/git_tutorial/work/hello (greet) +$ +``` \ No newline at end of file diff --git a/aakashks/Git-Bash_aakashks/missing_sem.md b/aakashks/Git-Bash_aakashks/missing_sem.md new file mode 100644 index 00000000..716bf6c1 --- /dev/null +++ b/aakashks/Git-Bash_aakashks/missing_sem.md @@ -0,0 +1,70 @@ +# Solutions to Missing semester problems + +## lecture 1 + +```bash +cd /tmp +mkdir missing +cd missing +touch semester +echo '#!/bin/sh' > semester +echo 'curl --head --silent https://missing.csail.mit.edu' >> semester +sh semester +chmod +x semester +./semester +./semester | grep -i last-modified | cut -d' ' -f2- > last-modified.txt +``` + +x permission not allowed for anybody +hence file not executing + +now we use the shell interpreter program (sh) to run the bash script + +because it is mentioned after shebang the program which needs to be run for this file (it's path /bin/sh is mentioned) + +### To check the battery level (in WSL) + +```bash +cd /sys/class/power_supply/BAT1 +cat capacity +``` + +## lecture 2 + +1. ls -al -h -t --color=auto + +2. +```bash +#!/bin/sh +marco() { + export MARCO=$(pwd) +} + +polo() { + cd "$MARCO" +} +``` + +3. + +```bash +#!/usr/bin/env bash + +count=0 +rm output.txt error.txt +while true; +do + count=$((count+1)) + if ./script.sh >> output.txt 2>> error.txt ; then + echo "Run #$count: Script succeeded" + else + echo "Run #$count: Script failed" + cat output.txt + cat error.txt + echo "It took $count runs to fail" + exit 1 + fi +done +``` + +4. find . -type f -name "*.html" -print0 | xargs -0 tar -czf zipped.tar.gz diff --git a/aakashks/README.md b/aakashks/README.md new file mode 100644 index 00000000..e69de29b diff --git a/aakashks/assets/img/output.png b/aakashks/assets/img/output.png new file mode 100644 index 00000000..9d9f98b1 Binary files /dev/null and b/aakashks/assets/img/output.png 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a/aakashks/kaggle-challenges/README.md b/aakashks/kaggle-challenges/README.md new file mode 100644 index 00000000..8837b737 --- /dev/null +++ b/aakashks/kaggle-challenges/README.md @@ -0,0 +1,12 @@ +# Kaggle Challenges + +## Challenge 1 - gesture phase segmentation + +### Results of EDA + +features related to the head and spine were primarily irrelevant and thus removed\ +hand and wrist features were highly correlated, and so, were merged\ + +### Final Model + +The Final model, giving the highest accuracy, was an XGBoost model with tuned hyperparameters. diff --git a/aakashks/kaggle-challenges/hand_gesture_supervised_ml/EDA1.ipynb b/aakashks/kaggle-challenges/hand_gesture_supervised_ml/EDA1.ipynb new file mode 100644 index 00000000..63fb4424 --- /dev/null +++ b/aakashks/kaggle-challenges/hand_gesture_supervised_ml/EDA1.ipynb @@ -0,0 +1,1404 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# EDA 1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this notebook, we look into data of 1 video. So the relationship of different features are explored." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "## Initial Steps" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "### Importing libraries and loading data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:11:59.296246200Z", + "start_time": "2023-08-11T16:11:58.843121300Z" + } + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import time" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:11:59.718438900Z", + "start_time": "2023-08-11T16:11:58.858773300Z" + } + }, + "outputs": [], + "source": [ + "data_path = 'hand_gesture_data'" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:11:59.765263500Z", + "start_time": "2023-08-11T16:11:58.874383300Z" + } + }, + "outputs": [], + "source": [ + "a1_raw = pd.read_csv(f'{data_path}/a1_raw.csv')\n", + "a1_va3 = pd.read_csv(f'{data_path}/a1_va3.csv')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "### Viewing dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:11:59.827764400Z", + "start_time": "2023-08-11T16:11:58.905618900Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 1747 entries, 0 to 1746\n", + "Data columns (total 20 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 lhx 1747 non-null float64\n", + " 1 lhy 1747 non-null float64\n", + " 2 lhz 1747 non-null float64\n", + " 3 rhx 1747 non-null float64\n", + " 4 rhy 1747 non-null float64\n", + " 5 rhz 1747 non-null float64\n", + " 6 hx 1747 non-null float64\n", + " 7 hy 1747 non-null float64\n", + " 8 hz 1747 non-null float64\n", + " 9 sx 1747 non-null float64\n", + " 10 sy 1747 non-null float64\n", + " 11 sz 1747 non-null float64\n", + " 12 lwx 1747 non-null float64\n", + " 13 lwy 1747 non-null float64\n", + " 14 lwz 1747 non-null float64\n", + " 15 rwx 1747 non-null float64\n", + " 16 rwy 1747 non-null float64\n", + " 17 rwz 1747 non-null float64\n", + " 18 timestamp 1747 non-null int64 \n", + " 19 phase 1747 non-null object \n", + "dtypes: float64(18), int64(1), object(1)\n", + "memory usage: 273.1+ KB\n" + ] + }, + { + "data": { + "text/plain": [ + "None" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 1743 entries, 0 to 1742\n", + "Data columns (total 33 columns):\n", + " # Column Non-Null Count Dtype \n", + "--- ------ -------------- ----- \n", + " 0 1 1743 non-null float64\n", + " 1 2 1743 non-null float64\n", + " 2 3 1743 non-null float64\n", + " 3 4 1743 non-null float64\n", + " 4 5 1743 non-null float64\n", + " 5 6 1743 non-null float64\n", + " 6 7 1743 non-null float64\n", + " 7 8 1743 non-null float64\n", + " 8 9 1743 non-null float64\n", + " 9 10 1743 non-null float64\n", + " 10 11 1743 non-null float64\n", + " 11 12 1743 non-null float64\n", + " 12 13 1743 non-null float64\n", + " 13 14 1743 non-null float64\n", + " 14 15 1743 non-null float64\n", + " 15 16 1743 non-null float64\n", + " 16 17 1743 non-null float64\n", + " 17 18 1743 non-null float64\n", + " 18 19 1743 non-null float64\n", + " 19 20 1743 non-null float64\n", + " 20 21 1743 non-null float64\n", + " 21 22 1743 non-null float64\n", + " 22 23 1743 non-null float64\n", + " 23 24 1743 non-null float64\n", + " 24 25 1743 non-null float64\n", + " 25 26 1743 non-null float64\n", + " 26 27 1743 non-null float64\n", + " 27 28 1743 non-null float64\n", + " 28 29 1743 non-null float64\n", + " 29 30 1743 non-null float64\n", + " 30 31 1743 non-null float64\n", + " 31 32 1743 non-null float64\n", + " 32 Phase 1743 non-null object \n", + "dtypes: float64(32), object(1)\n", + "memory usage: 449.5+ KB\n" + ] + }, + { + "data": { + "text/plain": [ + "None" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "display(a1_raw.info())\n", + "display(a1_va3.info())" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:11:59.905923700Z", + "start_time": "2023-08-11T16:11:58.936867500Z" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.bar(a1_va3.Phase.value_counts().index, a1_va3.Phase.value_counts().values);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "- D and S have a lot of data\n", + "- but H P R have very less population\n", + "- this causes all models to have significantly lower F1 score for these 3 classes\n", + "- 1 way to tackle is balance the data" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "#### checking if the datasets have same timestamps" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:00.359288600Z", + "start_time": "2023-08-11T16:11:59.639992600Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "True 1743\n", + "Name: count, dtype: int64" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "p1 = a1_va3.Phase\n", + "p2 = a1_raw.phase.map({'Rest': 'D', 'Stroke': 'S', 'Retraction': 'R', 'Preparation':'P', 'Hold': 'H'}).iloc[4:].reset_index(drop=True)\n", + "diff = (p1 == p2)\n", + "diff.value_counts()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:00.359288600Z", + "start_time": "2023-08-11T16:11:59.655851100Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['lhx', 'lhy', 'lhz', 'rhx', 'rhy', 'rhz', 'hx', 'hy', 'hz', 'sx', 'sy',\n", + " 'sz', 'lwx', 'lwy', 'lwz', 'rwx', 'rwy', 'rwz', 'timestamp', 'phase'],\n", + " dtype='object')" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a1_raw.columns" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "## Preprocessing" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:00.359288600Z", + "start_time": "2023-08-11T16:11:59.671552400Z" + } + }, + "outputs": [], + "source": [ + "# joining the raw data and processed data\n", + "\n", + "def join_raw_va3(data_raw, data_va3):\n", + " # redundant column in both\n", + " data_va3_new = data_va3.drop('Phase', axis=1)\n", + " \n", + " # reindex to account for the time gap for processed data\n", + " data_raw = data_raw.iloc[4:].reset_index(drop=True)\n", + " \n", + " # add column names for the processed data (as it didn't have)\n", + " data_va3_new.columns=['vlhx', 'vlhy', 'vlhz', 'vrhx', 'vrhy', 'vrhz', 'vlwx', 'vlwy', 'vlwz', 'vrwx', 'vrwy', 'vrwz', 'alhx', 'alhy', 'alhz', 'arhx', 'arhy', 'arhz', 'alwx', 'alwy', 'alwz', 'arwx', 'arwy', 'arwz', 'vlh', 'vrh', 'vlw', 'vrw', 'alh', 'arh', 'alw', 'arw']\n", + " \n", + " # outer join merge of the 2 datas\n", + " final_data = pd.concat([data_raw, data_va3_new], axis=1)\n", + " \n", + " # make a common and labeled phase\n", + " final_data['phase'] = final_data['phase'].map({'Rest': 'D', 'Stroke': 'S', 'Retraction': 'R', 'Preparation':'P', 'Hold': 'H'})\n", + " return final_data" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:00.359288600Z", + "start_time": "2023-08-11T16:11:59.687149500Z" + } + }, + "outputs": [], + "source": [ + "a1 = join_raw_va3(a1_raw, a1_va3)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:00.359288600Z", + "start_time": "2023-08-11T16:11:59.702767400Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "phase\n", + "D 694\n", + "S 656\n", + "R 191\n", + "P 163\n", + "H 39\n", + "Name: count, dtype: int64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a1['phase'].value_counts()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:00.520184300Z", + "start_time": "2023-08-11T16:11:59.718438900Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a1.timestamp.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "there is no data from 5.76 to 5.8 (e6) timestamps\\\n", + "otherwise the timesteps are almost constant spaced" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## EDA" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "### Data Distribution (Boxplots)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:00.739577400Z", + "start_time": "2023-08-11T16:12:00.124911700Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(12, 3))\n", + "a1.loc[:, 'lhx': 'rwz'].boxplot(sym='.', whis=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "head and spine data largely irrelevant??" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:02.001137500Z", + "start_time": "2023-08-11T16:12:00.958421100Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(12, 6))\n", + "a1.loc[:, 'vlhx': 'vrwz'].boxplot(sym='.', whis=3, ax=ax1)\n", + "a1.loc[:, 'alhx': 'arwz'].boxplot(sym='.', whis=3, ax=ax2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "Data has a lot of outliers" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "### Distribution of features with phase" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:03.752915900Z", + "start_time": "2023-08-11T16:12:01.967195800Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(2, 3, figsize=(15, 7), sharey=True)\n", + "\n", + "for i, col in enumerate(['hx', 'hy', 'hz', 'sx', 'sy', 'sz']):\n", + " sns.violinplot(a1, x=col, y='phase', inner=None, ax=axes[i//3, i%3])" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:05.170960600Z", + "start_time": "2023-08-11T16:12:03.768543400Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(2, 4, figsize=(15, 7), sharey=True)\n", + "\n", + "for i, col in enumerate(['vlh', 'vrh', 'vlw', 'vrw', 'alh', 'arh', 'alw', 'arw']):\n", + " sns.violinplot(a1, x=col, y='phase', inner=None, ax=axes[i%2, i//2])" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:07.759999300Z", + "start_time": "2023-08-11T16:12:05.186940200Z" + }, + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(3, 4, figsize=(15, 9), sharey=True)\n", + "\n", + "for i, body_part in enumerate(['vlh', 'vrh', 'vlw', 'vrw']):\n", + " for j, coord in enumerate(['x', 'y', 'z']):\n", + " sns.violinplot(a1, x=body_part+coord, y='phase', inner=None, ax=axes[j, i])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "#### Correlation Matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:07.877903400Z", + "start_time": "2023-08-11T16:12:07.752583400Z" + }, + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(9, 7))\n", + "sns.heatmap(a1.drop(['timestamp', 'phase'], axis=1).corr())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "by carefully considering various factors, we can significantly reduce the no of features \\\n", + "an example is that the wrist and corresponding hand are highly correlated" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "#### highly correlated features" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:07.980240900Z", + "start_time": "2023-08-11T16:12:07.862289Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "correlation_matrix = a1.drop(['timestamp', 'phase'], axis=1).corr()\n", + "\n", + "# find pair of highly correlated features\n", + "threshold = 0.8\n", + "\n", + "# Find the features whose correlation with any other feature is greater than the threshold\n", + "high_correlation_features = correlation_matrix[\n", + " (correlation_matrix.abs() > threshold) & (correlation_matrix.abs() < 1)\n", + "].stack().index.tolist()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "hand and wrist are highly correlated" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "### Hist and Density Plots" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:31.558977600Z", + "start_time": "2023-08-11T16:12:12.656387500Z" + }, + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plotting hist of all features simultaneously\n", + "\n", + "features_to_plot_hist = ['vlhx', 'vlhy', 'vlhz', 'vrhx', 'vrhy', 'vrhz', 'vlh', 'vrh', 'alh', 'arh']\n", + "\n", + "num_cols = 2\n", + "num_rows = np.ceil(len(features_to_plot_hist) / num_cols).astype(int)\n", + "fig, axes = plt.subplots(ncols=num_cols, nrows=num_rows, figsize=(6*num_cols, 3*num_rows))\n", + "\n", + "for col, ax in zip(features_to_plot_hist, axes.flatten()):\n", + " sns.histplot(a1, x=col, hue='phase', ax=ax)\n", + " \n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:12:35.352150600Z", + "start_time": "2023-08-11T16:12:31.574561300Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plotting kde of all features simultaneously\n", + "\n", + "features_to_plot_hist = ['vlhx', 'vlhy', 'vlhz', 'vrhx', 'vrhy', 'vrhz', 'vlh', 'vrh', 'alh', 'arh']\n", + "\n", + "num_cols = 2\n", + "num_rows = np.ceil(len(features_to_plot_hist) / num_cols).astype(int)\n", + "fig, axes = plt.subplots(ncols=num_cols, nrows=num_rows, figsize=(6*num_cols, 3*num_rows))\n", + "\n", + "for col, ax in zip(features_to_plot_hist, axes.flatten()):\n", + " sns.kdeplot(a1, x=col, hue='phase', common_norm=False, ax=ax)\n", + " \n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "### Visualizing the whole dataset using dimensionality reduction" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-11T16:44:06.445624300Z", + "start_time": "2023-08-11T16:44:05.622036200Z" + }, + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "\n", + "pca = PCA(n_components=2, random_state=42)\n", + "\n", + "a1_pc = pd.DataFrame(pca.fit_transform(a1.drop('phase', axis=1)), columns=['x', 'y'])\n", + "a1_pc['phase'] = a1['phase']\n", + "\n", + "sns.scatterplot(a1_pc, x='x', y='y', hue='phase', alpha=0.5)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.8" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/aakashks/kaggle-challenges/hand_gesture_supervised_ml/model1.ipynb b/aakashks/kaggle-challenges/hand_gesture_supervised_ml/model1.ipynb new file mode 100644 index 00000000..6feccb43 --- /dev/null +++ b/aakashks/kaggle-challenges/hand_gesture_supervised_ml/model1.ipynb @@ -0,0 +1,535 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "b394cd02", + "metadata": {}, + "source": [ + "## Importing modules and data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "initial_id", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.106312600Z", + "start_time": "2023-08-12T17:31:51.945489600Z" + }, + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "from sklearn.metrics import confusion_matrix, ConfusionMatrixDisplay, accuracy_score, classification_report, \\\n", + " precision_score, roc_auc_score\n", + "from sklearn.model_selection import cross_val_score\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "3f3e3fdc6c9838f0", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.169534400Z", + "start_time": "2023-08-12T17:31:51.962648200Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "INPUT_PATH = 'hand_gesture_data'\n", + "features = ['vlhx', 'vlhy', 'vlhz', 'vrhx', 'vrhy', 'vrhz', 'vlwx', 'vlwy', 'vlwz', \n", + " 'vrwx', 'vrwy', 'vrwz', 'alhx', 'alhy', 'alhz', 'arhx', 'arhy', 'arhz', \n", + " 'alwx', 'alwy', 'alwz', 'arwx', 'arwy', 'arwz', \n", + " 'vlh', 'vrh', 'vlw', 'vrw', 'alh', 'arh', 'alw', 'arw']" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "3fa33c98b5d50d", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.169534400Z", + "start_time": "2023-08-12T17:31:51.975650100Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "def join_raw_va3(data_raw, data_va3, testData=False):\n", + " # redundant column in both\n", + " data_raw = data_raw.drop('phase', axis=1) if not testData else data_raw.drop(['phase', 'timestamp'], axis=1)\n", + " \n", + " # add column names for the processed data (as it didn't have)\n", + " data_va3.columns = features + ['Phase'] if not testData else features\n", + " \n", + " # outer join merge of the 2 datas\n", + " final_data = pd.concat([data_raw.iloc[4:].reset_index(drop=True), data_va3], axis=1)\n", + " \n", + " return final_data\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "3e441487b7b50ef", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.169534400Z", + "start_time": "2023-08-12T17:31:51.990474900Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "a1_raw = pd.read_csv(INPUT_PATH + '/a1_raw.csv')\n", + "a1_va3 = pd.read_csv(INPUT_PATH + '/a1_va3.csv')\n", + "\n", + "a1 = join_raw_va3(a1_raw, a1_va3)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "64ed1eb14c5a6440", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.169534400Z", + "start_time": "2023-08-12T17:31:52.038035100Z" + }, + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['lhx', 'lhy', 'lhz', 'rhx', 'rhy', 'rhz', 'hx', 'hy', 'hz', 'sx', 'sy',\n", + " 'sz', 'lwx', 'lwy', 'lwz', 'rwx', 'rwy', 'rwz', 'timestamp', 'vlhx',\n", + " 'vlhy', 'vlhz', 'vrhx', 'vrhy', 'vrhz', 'vlwx', 'vlwy', 'vlwz', 'vrwx',\n", + " 'vrwy', 'vrwz', 'alhx', 'alhy', 'alhz', 'arhx', 'arhy', 'arhz', 'alwx',\n", + " 'alwy', 'alwz', 'arwx', 'arwy', 'arwz', 'vlh', 'vrh', 'vlw', 'vrw',\n", + " 'alh', 'arh', 'alw', 'arw', 'Phase'],\n", + " dtype='object')" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a1.columns" + ] + }, + { + "cell_type": "markdown", + "id": "320054e6", + "metadata": {}, + "source": [ + "## Preprocessing" + ] + }, + { + "cell_type": "markdown", + "id": "1e9aa0fb", + "metadata": {}, + "source": [ + "### Feature Engineering" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "4c3f5435cf0918da", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.169534400Z", + "start_time": "2023-08-12T17:31:52.053644500Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "for col in ['', 'v', 'a']:\n", + " for pos in 'lr':\n", + " for coord in 'xyz':\n", + " a1[col + pos + coord] = (a1[col + pos + 'h' + coord] + a1[col + pos + 'w' + coord])/2" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "3da1c683f7fa0965", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.169534400Z", + "start_time": "2023-08-12T17:31:52.079615400Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "X_ = a1.loc[:, [col + pos + coord for col in ['', 'v', 'a'] for pos in 'lr' for coord in 'xyz'] + ['vlh', 'vrh', 'alh', 'arh']]\n", + "y_ = a1['Phase']" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "093f48fb", + "metadata": {}, + "outputs": [], + "source": [ + "X_.columns" + ] + }, + { + "cell_type": "markdown", + "id": "eeb55e11", + "metadata": {}, + "source": [ + "### Encoding and Scaling" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "dc7734276d29b568", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.169534400Z", + "start_time": "2023-08-12T17:31:52.095418800Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler, LabelEncoder\n", + "\n", + "encoder = LabelEncoder()\n", + "scaler = StandardScaler()\n", + "\n", + "y = encoder.fit_transform(y_)\n", + "X = scaler.fit_transform(X_)" + ] + }, + { + "cell_type": "markdown", + "id": "83fea121", + "metadata": {}, + "source": [ + "### Train Test Split" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "21f4c3832c7c22d2", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.169534400Z", + "start_time": "2023-08-12T17:31:52.132220300Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.model_selection import train_test_split\n", + "\n", + "X_train, X_test, y_train, y_test = train_test_split(X, y, stratify=y, test_size=0.25, random_state=42)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "e9aa0036b6c3d599", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:52.171831600Z", + "start_time": "2023-08-12T17:31:52.148650300Z" + }, + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "((1307, 22), (436, 22), (1307,), (436,))" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_train.shape, X_test.shape, y_train.shape, y_test.shape" + ] + }, + { + "cell_type": "markdown", + "id": "d767ea52", + "metadata": {}, + "source": [ + "## Checking on validation set" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e47ad17cc2ba134a", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:53.003467800Z", + "start_time": "2023-08-12T17:31:52.165010200Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "model = RandomForestClassifier(random_state=42)\n", + "\n", + "model.fit(X_train, y_train)\n", + "y_pred = encoder.inverse_transform(model.predict(X_test))\n", + "y_test = encoder.inverse_transform(y_test)\n", + "y_pred_proba = model.predict_proba(X_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "7e9a5f926426d496", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:53.030593100Z", + "start_time": "2023-08-12T17:31:53.008509900Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "def plot_metrics(y_true, y_pred, y_pred_proba):\n", + " # Show metrics like F1 score precision etc\n", + " print(f'Accuracy: {accuracy_score(y_true, y_pred)*100:.4f}%')\n", + "\n", + " print(f'ROC-AUC score: {roc_auc_score(y_true, y_pred_proba, multi_class=\"ovr\"):.4f}')\n", + " print(classification_report(y_true, y_pred))\n", + " \n", + " # Plot confusion matrix\n", + " fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n", + " \n", + " cm_list = [confusion_matrix(y_true, y_pred, normalize='true'), confusion_matrix(y_true, y_pred)]\n", + " \n", + " for cm, ax in zip(cm_list, axes):\n", + " ConfusionMatrixDisplay(confusion_matrix=cm).plot(ax=ax)\n", + " ax.grid(False)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "b00cc7617506c956", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:53.566171300Z", + "start_time": "2023-08-12T17:31:53.022289500Z" + }, + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy: 88.7615%\n", + "ROC-AUC score: 0.9720\n", + " precision recall f1-score support\n", + "\n", + " D 0.90 0.98 0.94 173\n", + " H 0.67 0.40 0.50 10\n", + " P 0.95 0.44 0.60 41\n", + " R 0.94 0.69 0.80 48\n", + " S 0.87 0.99 0.92 164\n", + "\n", + " accuracy 0.89 436\n", + " macro avg 0.86 0.70 0.75 436\n", + "weighted avg 0.89 0.89 0.88 436\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_metrics(y_test, y_pred, y_pred_proba)" + ] + }, + { + "cell_type": "markdown", + "id": "c7485e85", + "metadata": {}, + "source": [ + "## Final Test" + ] + }, + { + "cell_type": "markdown", + "id": "4d1ef5a9", + "metadata": {}, + "source": [ + "### Importing and transforming test data" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "55534c53262ec840", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:31:53.633358400Z", + "start_time": "2023-08-12T17:31:53.570442700Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "submission_va3 = pd.read_csv(INPUT_PATH+ '/test.csv')\n", + "submission_raw = pd.read_csv(INPUT_PATH + '/a2_raw.csv')\n", + "final_test_data = join_raw_va3(submission_raw, submission_va3, testData=True)\n", + "\n", + "for col in ['', 'v', 'a']:\n", + " for pos in 'lr':\n", + " for coord in 'xyz':\n", + " final_test_data[col + pos + coord] = (final_test_data[col + pos + 'h' + coord] + final_test_data[col + pos + 'w' + coord]) / 2\n", + "\n", + "X_submission = scaler.transform(final_test_data.loc[:, [col + pos + coord for col in ['', 'v', 'a'] for pos in 'lr' for coord in 'xyz'] + ['vlh', 'vrh', 'alh', 'arh']])" + ] + }, + { + "cell_type": "markdown", + "id": "cb715d19", + "metadata": {}, + "source": [ + "### Running Final Model" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "cb983ba28adffd63", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:43:00.090331800Z", + "start_time": "2023-08-12T17:42:56.016100100Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "from xgboost import XGBClassifier\n", + "\n", + "params = {\n", + " 'booster': 'gbtree', \n", + " 'lambda': 0.2475451263113875, \n", + " 'alpha': 8.772147097117102e-06, \n", + " 'subsample': 0.8931113403774391, \n", + " 'colsample_bytree': 0.720784592951692, \n", + " 'max_depth': 9, \n", + " 'min_child_weight': 2, \n", + " 'eta': 0.37168889056708165, \n", + " 'gamma': 0.31960236227919525, \n", + " 'grow_policy': 'depthwise'\n", + "}\n", + "\n", + "model = XGBClassifier(**params)\n", + "\n", + "\n", + "model.fit(X, y)\n", + "\n", + "y_pred_submission = encoder.inverse_transform(model.predict(X_submission))\n", + "y_pred_proba = model.predict_proba(X_submission)" + ] + }, + { + "cell_type": "markdown", + "id": "8d5f13fe", + "metadata": {}, + "source": [ + "### Submitting Predictions" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "2185da49d9342279", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:43:00.116283700Z", + "start_time": "2023-08-12T17:43:00.090331800Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "def submit_prediction(y_pred, name='try'):\n", + " submission = pd.DataFrame({'ID': range(1, y_pred.size+1), 'Phase': y_pred})\n", + " submission.to_csv(f'submissions/{name}.csv', index=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "8573a656dcc429f8", + "metadata": { + "ExecuteTime": { + "end_time": "2023-08-12T17:46:29.088433900Z", + "start_time": "2023-08-12T17:46:29.065753900Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "# submit_prediction(y_pred_submission, 'hpt_xgb_69_6')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.10.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/aakashks/pre-lecture-1/README.md b/aakashks/pre-lecture-1/README.md new file mode 100644 index 00000000..5715a6e5 --- /dev/null +++ b/aakashks/pre-lecture-1/README.md @@ -0,0 +1,41 @@ +# Prob Stats pre lecture + +## Random walk + +A purely random walk with epsiloni is a randomly -1 or 1 +we are generating a random variable X's path + +![random_walk](/aakashks/assets/img/output.png "Random Walk") + +## Irregular walk + +here we have set the probability of going towards one side is higher. +hence, for a bigger path it eventually becomes a straight line + +![irregular_walk](/aakashks/assets/img/output1.png "irregular walk") + +## Central Limit theorem + +ran multiple walks and +plotted the frequency that a particular point in the +2d space is reached in the walks. +proof of central limit theorem as the no of the +random walks increases + +![CLT](/aakashks/assets/img/output2.png) + +## Poisson process + +Random walk such that Xi+1 - Xi = ei +and ei ~ exp(1/lambda) + +so now X will represent a stochastic process (which is poisson process) + +![Poisson_process](/aakashks/assets/img/output4.png) + +## 2D Random Walk + +Xi+1 = Xi + exp(i:theta:) +radially the theta is varying randomly +formally, theta ~ uniform(0, 2pi) +then we get a random walk. diff --git a/aakashks/pre-lecture-1/randomness.ipynb b/aakashks/pre-lecture-1/randomness.ipynb new file mode 100644 index 00000000..2b0e7cbc --- /dev/null +++ b/aakashks/pre-lecture-1/randomness.ipynb @@ -0,0 +1,429 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 4, + "id": "bc289d24-8e5e-4308-83d9-36f9b50deac0", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "bcdf7e63-6cc8-4b61-bfd6-9aeccde5ef36", + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib import pyplot as plt" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "20c49f76", + "metadata": {}, + "source": [ + "# Random walk\n", + "Xi+1 = Xi + epsilon i" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b07edd16-1463-4668-a302-df8f029ba4fa", + "metadata": {}, + "outputs": [], + "source": [ + "def walk(p, q, n):\n", + " epsi = np.random.choice([p,q], size=n)\n", + " x_arr=[epsi[:i].sum() for i in range(n)]\n", + " return x_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "129289bf-8764-45f1-b661-fa2fd9f5dccc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Random Walk')" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(walk(-1, 1, 10000))\n", + "plt.title('Random Walk')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "4182ea46", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Irregular Walk')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(walk(-2,10,10000))\n", + "plt.title('Irregular Walk')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "4228e363-9a80-406b-b64a-c094e3113186", + "metadata": {}, + "outputs": [], + "source": [ + "def normal(p, q, n):\n", + " matrix = []\n", + " for i in range(n):\n", + " matrix.append(walk(p,q,n))\n", + " \n", + " dic = {}\n", + " for i in range(-n//4, n//4+1):\n", + " dic[i] = 0\n", + " \n", + " for i in range(n):\n", + " for j in range(n):\n", + " dic[matrix[i][j]] += 1\n", + " \n", + " return dic\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "0b177b1f-8273-4ea6-834d-0b4109d225ed", + "metadata": {}, + "outputs": [], + "source": [ + "dic = normal(-1,1,1000)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "373b1321-fe4a-4630-866c-e4bd08e21bba", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Central Limit Theory')" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(dic.keys(), dic.values())\n", + "plt.title('Central Limit Theory')" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "13980d21-2194-4b5d-bf4a-80ab5767939a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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H/SiKwqiRpxEdNR/jxmZCLvdAUNAc9Oz5rq1PV+caOuQP0XaatnQ67n+JhoYjN/T8RDgiEAgEwj+egoJlXfYZNzYLAf4zBO1FRV+hsHC5cIAdERHP2LYlUqdO+yoU3oiIeAoSidLWRtOcP9OpUzc5HJs07ABcXWMxflyu4JhGc6rT8/63oteXirbfyFQHRDgiEAgEwj+ektKV3eoXF7foiuaXSjlBR6X0v+zxgQGzunEOFzg7hwMAKEoqOH4+9X6cTbn9ss/9b6Cqagdyct8Dw9CCYydOimsEpVKXa70shxDhiEAgEAj/aBxpFuzpEfMmAFbI6egX1F0S4r9CWNij8PGZeNljOzp0i9E34Vvefns0nD1NTefQ2lpw2ef/p5OR+RLKyn5CXd0+XjvDWMEwJkH/nj3fBUXdOBGFCEcEAoFA+EdTV7e/yz5hYQ/ZtimKQq9eHzvs2zfhO9F2P7+b0CPm9St+KItFs9mnCPDw4JcuGTH8CPz8bhGMybt0ec7c/3TstUUXM55HVtYbsFp1AIBDhweIjgkNuf+6rM0RRDgiEAgEwj8Wo7EWuXkf2PZHDD9q21YqWPOXWDh9UOAcjB93SaBFGj/uEnx9L18z1B0COpjWBg7YCF8/NjeSROIkcBiXSBRIiP9CICB1lmX734ZOV4yDhxJs+zRtQkXlJhQULgfD0LzcT5GRzyMi4hn07vXJjVgqD1nXXQgEAoFAuDHkXeL7EKlUgWy0FyWBi3M0GjWnoHbtJTqWoqhutV0t7P2WAMDNrS8kEgUGDtwElSrY4bjevZbwUg24u4lrU/6NFBQuA00LS6SUlKxApJ0TPACEhz0GqVRY6PdGQDRHBAKBQPjHYp/HSKUKAQC4usbC1aUHKEoCL88kh/XP2unffw0Aoc/PtUCt7gMA8PQYZtMUebgPhEoZ4HCMVKqEt/c4235F5UZRx+V/I53loTKbNbZtL69R/xjBCCCaIwKBQCD8Sxg65LcrGuftNRITxudf5dWIM2jgVjQ2noC7e//LGhffZzmOnxgLs7kBNG1CVdUOBAbOvDaL/IdQbact69Xrn1VjjmiOCAQC4X8cmjYi/cJTyM559x+rsQgPewwymfpGL6NLJBIZvL1HXfZaZTIXBAXOse1nZokXw/23YDY38YQfMfLzOd+izjRrN4J/jXC0ePFiDB48GGq1Gn5+fpgxYwZycnJ4fRiGwYIFCxAUFAQnJyeMHTsWGRkZvD5GoxHPPvssfHx84OLigttuuw1lZWXX81IIBALhumIy1SE7+y00OyiRcebsLNTW/oXy8l+QX/BZt+ZkGOZqLrHLc3SVmPG/AX//aTd6CVeNc+fvwcWLz/LaPDyGwNNj2A1a0eXxrxGODh06hKeffhonT57E3r17YbFYMHnyZLS2chWZP/nkE3z22Wf48ssvcebMGQQEBGDSpEloaeGybL7wwgvYtm0bNmzYgKNHj0Kr1WLq1KmwWq034rIIBALhmmGxtODChWdw5OhQlFesx5mz4mYarTbbtl3coXaZxdKK/IKlMJkabG2VlVtx5OhgaDRnr83C27B3Ug4Pc1y49b8FlSrwRi/hqkDTFmi1WYJ2mcwNiYm/3IAVXT7/GuFo9+7dmDdvHvr06YN+/fph9erVKCkpQUpKCgD2DWPZsmV48803MWvWLMTHx2PNmjXQ6XRYt24dAKCpqQkrV67Ep59+iokTJyIxMRG//PILLly4gH379nV2egKBQPhX0aLNxqHD/VFT+yevvTv1u7TaHOw/EI3y8g04dLgvioq+xJGjg23HM7NegdnciIsZz4uOvxytUmd98/OX2Lal/wOaI7nck1ejzWCouIGrEdLd/6tWm+nwmFi04OhR5654TdeKf41w1JGmpiYAgJcXm9+isLAQVVVVmDyZS0OuVCoxZswYHD9+HACQkpICs9nM6xMUFIT4+HhbHwKBQPhv4PTpW0Xbkw/G2h66ZnMjNE0pgj6nTrN5d7Jz3uS163SF0Go5dwajsYp3nKbN2H8gGgeSY1BZubXLNdK0EQeSY3A25Q7BMZ2uCHpDSZdzXA2qi5rR2mTsuuN1wNtrjG27/f/wT6CmZjeOHB2ChoZjXfbNznlHtN3Pl605FxPzOq+9O9nFrzf/ymg1hmHw0ksvYeTIkYiPjwcAVFWxP1J/f35NHH9/fxQXF9v6KBQKeHp6Cvq0jxfDaDTCaOR+OM3NzVflOggEAqE7MAzTrfw87W/2BkPnfpRZ2f9B/36rcfjIoE77deTESWHyRI3mrC3z89Fjw23tmVmvICBgZqfrPpsyFwDQ1HQWxSUrEB72SNt10DhxcoKtn7Nz9GWt83KoL9di80eseXDm/EQE9fDsYsS1xd6R28kp7Jqfr7TsZwCMLSM1a0b9FP5+t9j+rwxD48LFpwGw9d8AOIz+o2kjWlou2Pb791sFtboPmlsuwttrNAAgNORBuDjHAGDg7Bx5ja7s7/Gv1Bw988wzSE9Px/r16wXHOv4Qu3NT6arP4sWL4e7ubvsLDQ29soUTCATCZdLcfIH1GSrfgJaWTFRWbYfVKtRy6PVlOJAcgwPJMait69xNwNk5EgeSY67K+qprfrdtm80NvGNdRVy1tFy0bV+6tNgWKddxnqioF/7mKh2z4YPTtu1tn56/ZufpLgqFF6RSZwBAS0tGF73/HhZLC3JzFyA39z2YzexL/6HDfVFWtgYp5zhtnlj5lpYWcdMZK2yxhIU+DG/vMVAofODjPdZWlkUikcHHZxx8fMYT4ehq8eyzz2Lnzp1ITk5GSEiIrT0ggA0D7KgBqqmpsWmTAgICYDKZ0NjY6LCPGG+88Qaamppsf6WlXRdBJBAIhMvBYmlBTu77aGpK5bWfOTsDZnM9snPexOkz05CZOR+5uQsE40+fuc22nZfXeW2usrKfrsaSbXPl5L4n+rCsqtrucJyY/4rFwpaSyMrmm/Mk1LUxchh15msy79/Fx2dC152uAu0CEbtdD5oWNy2aLU2CtlIH36FGO7Ob0VT7N1d44/jXCEcMw+CZZ57B1q1bceDAAURG8qXNyMhIBAQEYO/evbY2k8mEQ4cOYfhwVtU7cOBAyOVyXp/KykpcvHjR1kcMpVIJNzc33h+BQCBcTQ4d7o+ysjU4mzK7y74VlZsEwoVF5AEGAFGRLyAq8kUkDes66CS253vdW2wHysp+wukzlxeGbrW2Ctrq6vaBps2Cyu0uLj2uaF2O+OuHi9i06Ax+fvsEr10ipdBUq7uq57oSIsKfui7nsf/O1DccQXn5Bt7x/QeiUVeXDAklF4ytrPwV+w9Eg2G4SO/akhbUNxy27et0Bddg1deHf43P0dNPP41169Zhx44dUKvVNg2Ru7s7nJycQFEUXnjhBSxatAg9evRAjx49sGjRIjg7O+Puu++29X344Ycxf/58eHt7w8vLCy+//DISEhIwceK1KURIIBAIV4rVqnd4rKZ2N/z9bgbgOAJt4ICNgkrwneHlNbL7fT1HoKGxa+fcjjQ0nkB9/SEE+E8XHMvMekWwhj69P7uqphfaSuNSSo2DYwx+efsknvhqLKTSG6c7sA/pt1p1NjPb1USnK0J6+uO2/dxcccE4Lf0RBAXOdTjPgeSeGD/uEupKtdi06Azi7Lr2ivtnZb2+HP41mqNvvvkGTU1NGDt2LAIDA21/GzdutPV59dVX8cILL+Cpp57CoEGDUF5ejj179kCt5hzcli5dihkzZmDu3LkYMWIEnJ2dsWvXLkil0htxWQQCgYCCwi94+zU1u1Fa9hMMhkqHY0pKfrBtV1fvEu3j4tKTt9+37/cO5wsKugMKha9tf8gQzpdoQOI6Xl9X1zhERDztcK6RI9qjfyWCjNvnz9+LkpIfcPrMVNGx9hXpgwLnIiBAKET9HfTark1pZVmNXfa5lkilrrbt4uIfOul55Zw5OxMGY/dSBVRUbrJte7gPFhyvbziEnJwliJvL5aJycgqDWi1eEPjfwL9Gc9Sd/AoURWHBggVYsGCBwz4qlQpffPEFvvjiC4d9CAQC4XpSWLiMt98eGaRQ+Dgc4+bW17YtlYlrFjqWsPDtxJclMGAWZDIXDBq0FRQoqF3jMGjgr6AkCrip45HY/ycolYFwcYnq9Fqiol6CTNYemk3Dam29rFIaaemP2bbj4hZ1e1x30bd0LRz99mUa7l80HGqvG1MI1T5AqLDoc0RFieeT+jtYLFcWdd2v3w84dLg/r02vL4VRyk/uGBX5whWu7J/Bv0ZzRCAQCP+NOHKCBfhalHZCQx8EAJSV/QxDW54hq4X1k/H0HA5lW40qD/fBXUbq9opbbNt2cmKjcN3d+tkEL3f3AXBTs+lSvLxGCAQjiUQoPEgoOa+6ekXlZgBAff1h7D8gHpLfN+Fb27bRWNl27kHdSl9wuVQVCH2zpr+YKGhL+bMIGUfKseqVI8g4Ug6GvvblUq4XNN25gEhRUtv3yJ6gwLmQydQIa0u50E5BwVJBXxfX2Mta0549e/Dll1/CYDBc1rhrBRGOCAQC4QZiX5ajMyaMz8eE8fmQSJS2tnY/EZO5HgCraRo8eAcS4r9yWKahT2/uQSaRqDBk8G8YkLgeSqXjiF1H0LTwQdbUnMrbb4+cS017UHQOT8/hotFZTU3XpjTJoXU5graQWE8MuCmc15ZxpAIH1+ZA32LGwbU5uHDov6cGp1hovj2DBm7BiOGHBe09e7LJHaMiX0JM9Ku2drFgALVr3GWt6fjx46irq0NqaupljbtWEOGIQCAQbgBabS5Ky37CseOsA7JM5gZ39244T9v58MhkbOTspUusBoimjVAqfODndxMkEnGviYAALuTf1TUWanUveHoOuaJrCAq6U9Dm7y/0JarsJKS/f79VoCiJqKbiaiMWuj9iDpvvKWlGNKY928/h2CMb8wAA+hYTGiqEkXZXm9jYD2zbZrN4JKLBUInKyq0Cv6528vM/xYmTk2E2a3jt7WZbQFi6w99/GtzcEkBRQj/c9hIuUqkS4eGPg6IUoudtzB8t2t4d2kuC3WiIcEQgEAjXmdbWApw6fTMvQshiaYZa3Ue0f79+K23bISH32bZVqhBeOY+mpu4lMRw6dDf691sN18s0fXQkru0BLpGo0LvXJ4gIfxJ+vjcL+mVmzhe0xfdZjlEjz0AiYcPE7TUR1wp7f6O+40Mw5dF49B3H5csL6+ONHoP8HI7fuyoDq145ivXvn0JTreNIwqtBgD+XGuHwkQGifY4dH4nMrFdw8pTwMweAouKvodPlo7x8nehxQFi6o0fMG7ZtdZtJFQCcnCIEY708hSlw8v/4ENUp94G+DDOkxcJFW9bW/jNyIxHhiEAg/FdhterQ0pLRZRCHVpuDsvJ1N6S4Z139AdH2qMjnbNsjRxyHl9co9O71CXy8x9raVaoghIU+DADQaE7h9JkZtmNxdtqGznB16QFv7yt/u2+HoiQYPy4XY0anIjBwNqKjX7b5CY0cecrhuLCwR+HvPxUKhZetTSLl+y8NGSwegfd3aGlgzYBylRSj5vZEzEA/SDqE7I+Y4zinUu7patt2Zb7mqq/PHvuINQA4c3YOz1dIpyu0277kUHsEcMk1AX5wU58+ywR97YMATEZOUIntuQAA0KoxorakBV89cQCFB4Uh/mYtK1w21XQ/X1R2dna3+14v/jXRagQCgdAV9fWHbb4t/fr+AB+f8bZjJaWrkZe3EGFhj8JkrEVV9XYAQA4c14m6VrSbweyRy70hl3tg0MDNoBkLlEp/JPb/UXR8uwmqsZGfxNDdXVzDcC2hKKmoCUYh9xLpzUazhXdw6AUAWQdhwNm586i4K2Hn8lQAgNlgddjH2U3cVNSRa+Es3tn8zc3nUVe3H35+N0GrzcWp03xtUUtLBtzcEmz79sJSccl3iIlhNXMWi8bW7uzE+ln5+Ey0Jd60/19SEu6zcHfvD4Zh8OPrXG6rimw5qvKXo+dMNpquuYQL89+7KhNz/yMM+xdDJuNEEQ8Pj26NudYQ4YhAIPzXYO/0m5b+qE3oMZkabI7B9vmBrjcMwzisaTZwAFsr0t1dGDnVEblcvDiqXO5xxWvriE6ng06ng4+P43QCndFeR6sjkQ7yI3l6JsHLcyQaGo/C0zOJF/F2PaEk3RN6zAbxxJtXE1/fyait3WPbv5jxAsb7ZQsEI4AtM2Mv5BuN4sXUNZoztm21mhWm+vX9DkZjDRQKb9BWGivnH4HKVY7bXv4cZ8/NBMBqsi4cLBfMR5udkbP5a4Ci4R3kBYD1x6otaUFtSQu8Q1wh6eIzNZlMtm2r1bHgej0hZjUCgfCvpEWbjfz8JTaTgaOEiRZLC44c7fwN1mplTQCm0haUv3cCurSr7/dQUrq602Kv7aH03UGuEBeOHAkkV8Ly5cvx5Zdfor6ejYTT6/XYt28famrEs0uLMSBRWBzcERQlQWLiGkwYn48BDiLtrhcPfjIS4+6Nw/j74/Dwp6PwwOIRgj7dSSb5d/HxHs/bZxgzLJYWh/0rKjahqmoHAPDMrQCgaWIdndMvPGlrs9dOKZV+oCgp0pPLYDJY0VxnwKGfaCT2/xmDB22DQWvGkY25oudlaDkYqxJTn+nPa9+06AzO7S5yuF6apnHo0CFkZHAFdnU6XbfyGl5riHBEIBD+dTAMjdOnb0VR8Te4lP8JACDl3F2CfvsPRAsS1olhMrECQM1XqWD0FjSsz4axQANLw9XLudJZMdhxYzMhkXTPnAMITVAAMGZ06pUsCwD75p6Wlgaa5kwxRiObf6mwkPVt2bFjB44ePYqvv/662/O6uvIzdI8edeOq3pvsND2+YZ0npXR2U6D3yCD0Gh4ElYscTm7C2mKNVde+BltAwAxB2+nTtwk7tpGV/QYyMl8CTZtgbkvv0E51Vfd8uI5tvmTbLs1sgJfXcLi59UV9JxF6ccMD8eiy0XBxVyI41oN37NTOQvFBADIyMpCcnIycHC6owGq18jRJNwoiHBEIhH80pWU/8UwLANDccsG2XV6+FgBgMJRe8Tm0rbkwFmh4bbXfX0DVJ2dAX4XK7TpdUafH7XMXdYeOGafV6j6XlYW6I4sWLcK2bdvw5ZdfAuCbNgoLC3Ho0CGe06zZzH4mqampSEtLczivXO6BAYlrMWjgr5gwPh9y+Y0r2n329yLb9tRnHIfsiyGVSjDr5QGY8WIiEieFAQDyzlR3MervI5HIBVnS9YYS3r5YQWExLWq7L5GHx1AAQIxdVFo75/eUCNpam1ghuTNtztBpkVCoWC+dKY/EO+xnT3FxMbZu3Sp6TKe78cV/iXBEIBD+sTQ1nUdu7ns8UwAAFBYu5+1bLH8v70x6+mMoSv4JVplwnor3T8Jc9/fCtjWa04K2QQN/xciRpzB+3CWREZ3j4tITwcH3gKJk8PO7BYMHbf9b62unoYFNSGmfpbj97d6e48ePw2AwYPv27di2bZtNyySGp+ewG+Io3pHze7kHf3edru0JjPFAcKwnNHZRWJcTrn6lDBq4Gc7O4ubYfv1WQqUSmmOzc94StFVWbQPAJe5sd8a25/hW4Xfxx9dYB+yqfC7X0r0fDOP1cfXk/MOc1N37bFevXu1Q4MrMzOzWHNcSIhwRCIR/LGdT5ti27SvUNzdf5PXT22mNIiOegyPGjE5FKFiH4IDae3nHyiKX49J4cWfh6iV/L1uzWDSXu/sAKBU+VxT1RFEU4mLfx/hxOUiI/+Kq+hoB6LKEQ3Z2NvR67v9xtd70zdU1yBk4CI0bN3Xd+TLQVF89TcTQ27goOpP+2jtlOzmFImnYXwgOEpqNfbzHiib7bGw8LmizWJqg15fBbGKL6soV4tGEYpz5vRCnd3HmMXdfZzz4yUiE9vbCXe8M7XSsi7tQWOrK6Xrv3r3dXtu1gghHBALhqmI2NyIr+z/YfyAa+w9EI/lgn05zsFzOvO10zMJ8+vSttu2IiCfg6ztFMD5p2AHIZGo47xmMmP3fwP38RMT5fvy319UdWrRZvP0bWZSzoaEBBoMB69atw4IFC/Dpp5/ajrWHUdsLPmJUVlbyBKjmOg0sjQYYLjXC2uRYi9QZ5vJyXBozBnRrK6refRdW7dXLQp1ziovcGjBFqDG5HLyDOX8vQ+u1d8pup2M9s6FD/gQAmE2dCxo92/ITAcCRgzfbzHIdUy10ZjazF4w8A9gix85uCtz2XH94BbkI+geN06M24DC06gJb9F9znd4mTC5a1HVB4YULF97QOmtEOCIQCFcFbWsesnPexeEjg1BRsdHWTtMGHEjugYLCLzotstqRjjXH2oWj0rKfUFfr+M1SIlGiV9xHAACZzAODB21Dv74/wNmZeyhKrWwZBMMO4cOtLmoH3O+KELQz1isX8EpLV/P2xWqJXQ/q6urw+eef46OPPkJuLht51NLCRT9pNBoAXQtHANDUxJlZ/ly7E1Ufn0HdiouoXCw0IXaFIScXlyZM5LU1//nHZc/jCLU3Z/ZJmile/PZKuHhIGNp+NbG2mlH7fToat1+CUhnEO9bu7L5jaedO7u5unH+VVMlp0OQdhCOzkS9kTZjXS3S+jtqy4vpWLN2bC42OdaKurKxEWhabLkDvUoaWRj0uHCzDz2+dwA8vHgZN06KaoyeeeALOzs62fYvFAoXi8s2fVwsiHBEIhKvCqVM3obzccQh2YeEyFBd3P8dQVjbfYdRkbkRG5svIzX0PBmPnWa3lcjeMHXMBo0aegptbX14ySHsU2mBBW33MNpyuH4viYR+AlnLCHN16ZSYUsQroCqXjEhXXEvuoIEcYDIZu+Xxs2LDBtl2FRt4xxkKDYRjU/ZSJhg1dZz8unD5d0CZROYn2NZlMNt8oR2iqdVj16lF89cQBFKTWwtKmXYnsd2U5mxyRtv/KgwC6Q+OmHBgLmtB6shLGzCZ4eiYBYLWg7VQXNqPi5MMO56j/TNynre7LPGhPcY7brRruux47NACxQ8Rr3UUl8r+7t397Asv35+HtHWw4/nfffcc7rnMtweENXAoAscKyzzzzDAICAjBoEL+2oERy40QUkgSSQCBcNwoKl0KpDEBQ0ByHffT6UlRWbYO2hf+ALin+Hg2NxxyMEiKVOgvaGCvfdEDBsb+PwS0fLYGn4F7GltmgdWZIr8CR12QXUh0R/hQ8PAZDqbi6D+musFqt+OCD7pUW0el0OH+er43o06cPdDodxo8fj5UrVwrGhFi9efv6rHoogtUwZLLX7jEzBhLl5T1urI2NtrUfP34cUVFRCA4Oxg8//IDa2lo8/vjjCAwMFIwzGSxY++5J2/6f315ARF/283Zxv7yowBuNIYcTOhvWZmPAR+IvH80lQyF3rQUlscA9/CTkLqzwKG/1h9QsHiFordZDs+0SXIeyn2F79nAAmPhgbwDAvR8k4Ze3+VnYR87lyqswDIOaFlaoOphdw6uR1o5Zzi+am5dRZNueOXMm+vXjNFtK5T/n/0OEIwKBcMXQtAmVVdvg4tx9U0VW9mvw8hoOlSpI9PjxE2NF28UEo7DQh1FSyj2sw8Me6/Tc5kptp8c7UtV7Fap6r0LU4U9RueoYXCLD4DLTHWfOzkBY6EMID3+8yzlamrm0A9HRwgKs14OjR492u++ZZ54FenIPwJlbtqLvm2+CksvR2iruB1QmrUe+tQrRNKttMOY3wWyXB8iY3wSn3nwBylxRgdInn4LnvfeIzmlpbEBubi7WrWOLpu7fvx9PPvmkrTBpRkaGqHB0eL0wUWFReh0AQOUqzFd0JTi7K6BrYs1IZpMVcoXQ4b67mAwW/PDCYQDA45+PgaxtLlrEl0h/sQ5O8ZxgbbWZeinUZ7KFausuzoBE0YpR3i3w0IeJnlNq8ODOX65F1pFyGDVCk3fHz2vk3B62bNctBjMSFnApNlqMFtHvmayDcNaq5Uy2vXpxpjurVQdQHwBgI+HkCh0slpa/laLi70DMagQC4YpJPtgL2dn/Qcq5Oy5rXHvSxb9LQMAM+PhwvioREU857KvPrEfNl6mC9pCUl7s8T8Ho+cgb9iRaL5YgO/MdmEx1tuSTXZFf8GnXna4xVVXipSQCAoSmkxN2glG/86lQmM3ITugLAFDoHT8ykhVclmO5vzMkTty7d/1PQjNd6RNPwpiTg6q337G1eT/5BJwGDgQAaI8eswlG7XzzzTe2bUcOxPbO1x25WsLR2HvibNvav5ko9Kf/cJFlhWl13LzHhabj+l+yeA7vyT+LmSwp0CZX6JpCHJ4zIHOebbvmi/PwTq3BLe7Cz0bpJIOrF6vNmfP6IPQbz6UN2HS2zLbtShnQV1qBgwcPCuYwKzS8/doCTsCWy7lzlpX9AoMhD3Fxh+HpVYahQ7dCKhU6e18viOaIQCBcddzUfdHcko6ePd5BaOgDaGg4hvOp99uOm80a0XH24frdQS73RL++38FkagBFyUTfMhkrg6pPz8Lq4CHmUh+PAdJdqA3ahtLSVZ2er6r3GrRoOJNNVdUOBAQI/WVs52YYtLbmAQAo6uo8mK+ErKwsQdvDDz+M0NBQMAwDvV6PTz4RCntuLc22bdpoZFMadKPkmbXJBErF16aUvX4E3vf3tmmQjLmchodSKsEYjfCYPRste1hn+9xmvjlGcA4Rp96OTsUdUblcnf9BeDynBfvtyzTc+35SlzXZGqta8dcPGYgZ5IeBU8JBSSjUlrbAqONMUUY7Z+dmB2U3KhefhjzYFeoH+iDnpLggmOAkQZCCE2T9su5DTa+fAQCu1QPhWtdfdJycAuZ0CM2//8PhMOosts+uQqOHp7MCBjP3Wc9RXkBHtIwSrpQRFkULLLJWyCysoKN3YYW+wYMHg6IoMDSDplo9LuWzkaO+fsXw9SsGcHXL4VwuRHNEIBAum9bWfBQVfSt6rHevJRg8eBsmjM9HaOgDAABX11hen+bmVNGx9uH67cTHf+FwHe0FWBUKL4fZl41FTaKCUfCHI23bzpEhiI56CT1i3nR4LgBoCTzJ28/IfAl19Qcd9m+/4QOATHb9s0PTNI1vvxX+nxISEhAaymoBKIriRQnZI7PzIcnp1x+WmkxMbGUTEno2NOCODRtFx7UcLBV9uLdrkIyX+E7CTFsSSZmnJzxmsYVOrZLOTVUnT560lZkoSK1F8m+nsXjRR7BKHQvY2sarExpuX0i1uc6A49vyO+nNcmh9DurLtTi1owA/vXkcBam1gizbh9axDvO69M5r+5nLtTj7O78sx5i7Y3Hn20Mw5u5YRCn5n51n6QREH1wG/8wHEHjRsen5ZjcZXDyV+P5wPi6Ws8IpRVFQuchR22LEy7+mYfhHB9Drnd349hB7zTKIC6Q5Fl/bdpPnRcHx3Bz2peH074VY++5JMPQ/S1dDhCMCgXDZnDw1GfkF/yd6LDBwpqAt70Qqb7+gcBkMBqHZoKNwFBP9Gtzd+jtcR7cqt4tkMZZ5q0BJKajHh8K5vy8UIWpIpU4IC3uo6/k6kJb2sEMTT0kJF50nkwnroV1LTp48iffff1/UpDZq1ChBm7+/v6BNpecLE/rjy+C960PM2LoNk9o0POP2s5FTCqMRUs/uOdTq04WaBgCgnJ2hnjwZJrkcemfxaDV7kpOTYbFY8dsPp3Ho7B+gKTMafNkw8lF39BT0949079b6uoOr3bWm7hWW3ehIg11tMm2jEX9+ewHVhc28PjQYFJY1oWEdZy7zmC7uz1d2lPv93PR4POJHB8M72BXxo/kRmKUm1i9JZvKAR9k4SKyO/0cURWFTajkW/ZGNqV8cxR3fncDMr4+hXmvE4A/3YXMKZ0praatVNytQqOHbbuyDWoYzidFSo8CkyRQHw9BqtpV1oSR8Z26xpJfXEyIcEQiEa0pDRRl2f71M0H7s+ChotXznWfvcRlKpC0JD50GlCkJ01HwEBszG+HGX4O097rLOz5iF+Yl8H2d9aNwnR8DrzjieSWTggI0ICbnvss5RXPxdl32GDvn9sub8O6SlpWH37t2C9lmzZuH222+Hn58wlUCSjzCCzs0uB5I9SpPJFuenbNP6mJRKOI3uXPhQtBV8pbXijvEURUHm749dt03DxYSETucCgBMnTmDhwg9sApE94fHCDNAhsZ5dztldTAa+xuTioTIHPVl8Q4Um34o8DW//D2czxn15FPeC+3yKC5tRfWsY1sMICzghfLRaBi8p+1+ItguvP5RTg99hggUMPoQedym0yGzT7jglBeKsvyt2aMxIcZCaIqOcE3ZOFTbgfIkGAxcK67e1I9PytV/NtBIaxhn1NN9f6K53h+DJr8dy48wuWDn/CAAgcLDQnH2jcoG188/SYxEIhH88NO04349YAdXdXy8FAJSf9EPwsBresZqaP3iV2wuL2MKnTk7hGDJ4l61Svb2jdd+Er5By7m5BlmzRtZqsMOZreG1B7ybxnIU74uExCO7uiTCZ6uHiHAOF0heX8hbDSjsuQZFf8H+IiHhC0O7q2gtabRb69V0BqVSoCfn999/R0tKCuXPnXrWcLnV1ddi2bZvosYSEBIflSiTvvQ/MmW3bj8sU+imJobLLYrz/8/cwNPxJh32ZNi1GdScZkg0WCyx2jroJsbFIiInBut+7L1wylBWuHio88tkomI1WmI1WuPuJmw6vlPjRQTj3F6cxOrcxF54HS6GaEgGvoQGCz7krnySNhEaWghViikBjD8yYDDlOH6vAe2rWVJgCK5aAu45IpQQNOnYMbbSifk0GHihgcy8tBvd/eQytOAo3KHycMGN6DLYvPYeyHA1qm8ygAZ4ztlJ2md9DKz+P1zYTK9SaIcXA0ZOQcpjVMH717ec2Uy4AtDJyOIOBDBTcI7l0AX5+t4JhrPD2Hn1567jKEM0RgUC4LBobTzg8plIJI2Qq81g/ito0b1xY04N3rKj4W9C0BSUlq9DSkoWmJraGmV5fDJlMPFJFIlFi8KAtCAt9sMu1VrxzHNpjnPnBY1ZMp4JROxQlRUL8F4iKeh4hwXdj6NAr0/q0mwkVCm/BMYvFgjNnziA7OxuVlcIq6vn5+aIJ87pi9erVDo/ZP7AZsxkF02eg4aefALD+RUqDARRNY/avmzG4mTX5OI97B7IAx1XslW1+PwBwIbYn1iiTUSqpA8MwMBUcgNsE7sFrbS+3IRX6E3nex2rr/viDnxnbtGMHrPfdj5GHj6Df+VQMOn0GHg1C3zR7dC6lkMolUDrL4eqpgmeAC89P6GowZFoUb3+8mxyM3gL99ks4vULoY1N80XGEpqunEttdTLy298EKRO2CEQCcBP/FhAaX2LLi3ePQFGg6XbPUmf1f9BwSAJlzPVxi/4RVpsOBZvb/0gwGa04UdzoHAERK6hEsYc/lauf4/ZcpFoxd7rBDFdyx1tZWZGdz5sLv3E341ZV/zQAQ32cp+iZ8JVqP8HpChCMCgdBtzOZmpKbN47WNH5eLAYnr4OE+GPHxn3c63mrgCyYMY0ZF5SbkXfoQp890rQn6u7gOEebF6Q7tjt/29KhY2ukYhmFswlHHUg0Av1jr4cOHBWN//vlnbN++3ZbXpzvodDqHuYgef5zLyWRpaEDJo4/BmJOD6kWL2TUGBGDqrt8wc+s2OIeHI/SnjXC9ZSmk7iFwGvY0XKd3bToEADNF4y9FGiyV52FM34DyZx9EwOuDAQB0iwm0yQrXkawzfMB77yFs9SpE7tyBgDf/AwC4eJEvWFBtPmPBFRWIy8lBdEEBBp3tvBBwQp9r/2iTyiR47PMxoseC8zXY9uk5nG/zRTLqOq/B1mOQP2qlQr+1UUyzoG07OIGCYYApj8XDXM3+zx+A4zxe+ghXOLUlw3RWKxAxYRH8+m6F781vI+KuHmBkFO7uZHw7bpQeYxQFmKTIg5oywGRghTe5XI4eMdGYlcj5PG27WOdoGgBAmYyG2YPLMq6r6Qmj7u/XYbwaELMagUDoNmVla3j7E8azESuenkMxcOAGsSECaCsFid2DICfnbUGfq1GYle7wQFLFdb8KeUekUr4ztVfhLZDkeSI0/HGUmlmhwWxuglzO+dzQtN5WS05MuPrtt99s24WF/Mgje4GooaEBvr6+6A4nT/Kj6WJiYhATE4PExERb9mFrSwvyho/g9WPMZliqqiADoL7pJvi/8TqqP0sDpeC0dxRFwfW2r+HSvxLa43LojiwBY2Qf3r4MUNtBMWM4/7NtW2oXQq9Pr4WlrfyHzNcHLklJnV6TwiTULqi6KEh6Li8XN3fa4+ogV0hx/6LhWGuXq6idijwNKvI0oCigqZbT/tz8RAL+/JbvkF4fqgCEblNgRJRdS2DADLDmZg8/J0ilElQuPceeE+KBAQBAzeoBSsoKjSq1HOnNEfjqSHsx23T0hAQaB+MVsKCHtBaFVm/MUnLC62y7EP7g4GC8OW8IWlvzsbUtwbrVgf6lQKlEu9VvGXzwfwYPeKk0KDn4ClYePILpL/RHyN/4vV4NiOaIQCB0C6OxFgWFyy57nEzBPpSHzWajT9JXxKL0sHjdpnYiIp6+7PN0pPITvnbB83Zh9FJ36eg/4lzfBwCg+nOgra2gcBmamlJx5uwsaDRnbbmcKEohKGVSUlJiK/wKsPXCkpOTbftmMyfYrV+/HgzDoKmpqdPK6QCQnp7O27/nnnswbNgwm2DEmM1oXC8UYlv2cQ63btPuh2ZntaAPAFASGbzuvhsuIxPgNHI+ZIGxCF2xAg/dMVfQlzFzGqyW/azfSZ6kEmuPb0dTVRUsUinqO/hZVVcLzxtzSVgbrKNwNHPLVszcstW2b7YrWKrVanmf59XGWSmFm1Qoxcjbmo5tvsQrUBvkLMOtfip4SykoKEAhBZ7dapdFve2xrIIZUohrUVLbciO5G62iAQdinCnigh1OlezAV2mP8I7nOjgXAAyXF2GwvAzPhDtOsDlxIpuMtbp6F6/9Z8MAQd8jTfG8/dQavvP9jmWpDs9zvSDCEYFwA2hpacHx48e7Vf38RnBk/Rps++R9MDR7w2xtvYSjx4bx+thnpnaE2WSExcRqTwZNnYH5G3/D7P98AE1h5yUBrkbyN8bA+WeoJ4TxtBd/l/ZwaAltX2uNwdmU2WhuTkPKubtgMrMPI4XcUyBciZVZOHTokG27Y6bh9957D0uXLsXp051XvNdoNLbtF198UXDewlmzUfvZZ4Jx5S++xM2xqwLGfPEEjLK26vae02PgddcIRO3YBNeRI+DUuzd6dShWe2jsGNAUhdyePZD1zjvIlVbgkCITFQ1VONo3AVtun4MfDx7kfRb2GbAn7/4Ld2zYCLlIvS4pzX+Qm2VeUHQQgP744w80NzdjyZIlgmKoVwtrswmVH5zEaLXQCBMgEwpMvmFq1K26CJnJipFqGW52lyNezf+uh0ACZ5hwpyoVtyiETvGRZglM7TKywYLqz1mtkdZO6zMBMviplVgwrbet7Y02AaxFm43n/xT6wIkxA3K8DydESFnzcI2I8NpOeykXidQJT/Tlos+skCLFzPdFZDqIHmuzbxfMZxYpn3I9IcIRgXAD2LBhA/bs2YNdu3Z13fk6o2tuwuntv6Ig5TRyTx0DTVtw8tQUQb/QkPtFRvPRtzn1SqQyKJxY7Yl3aBisJsfOloV/OS57cDk4D+DCm90miteYulJUTZwzbnDQ3QCAsrKf7XrQMJva/Y08eGOTk5N5WiN7mpqasGbNGuTl5Yke//PPPx2uqbmZ809JTEyEu7swrN7oYF57JCp+skplT84k6DGLdaiXOMmgHhnMK8Q7cS6/hEx1QAB+vWMuzg8YgD9vuQWH5dyDvs7OTLhvn3iYuL12yOcpYQTc+P374WIwwqMuEbnTPwL9/V4MrObMgKdPn8YXX7AJROvqOvd9uVIqF51yeGyAiwwh8g4CkkgyUnsvHyeYQIHBQDnrh+MtYf3ShhhkuK2V/aybJAyMdrKhpc1kl2mXjPFxqHD6zYmYNyIS8g5arZOnuvbt+wNqbIcrXoIK49H1S8WkSZMglUrBMDQKCj7D4IBUJPhw5WQuWLv29as88wBvP/1AqYOe1wciHBEIN4DyclbNnpkprDnVFUVFRQLzydWktbFN46E2oab+V/z6qTAZm7//NHh6Du9yrqYaVg1PWy02LYbaywegKVSe4efVqcv0QOr3cWgqurJCkwzNQHuiwuacSreZHjxn9XAYvn45ODmFAwAU2kBQ9rfOSvFkhbl57wMAtK05vHZ7DVFHvvvuO4H/UVcwDIMvv/wSn9lphLy8rsxfQ+obJ2jzvrcXnAf5w2VwAFTRHg7Hes2c4TBjdldYLBZBiRMnO+HI97nnEHv+HBQx0fC4ndUy+NbWYVzcLZBb1AiM8UCf0SGY9CnfHGtvTruWpjVHDHTha5Si4zwEfVraND49pLW4Q5WGCNVJREvt8n3BiuFDAuHcJhA1SBlo7ExgjaCxCUa8BM7BP3wAZ7ZWSLnvKsPQKGwK73LdbqDgAwkk6N7vxqctR9aB5B5gGPZ398IAvrau1ZPVRmZZuJcWpZT7H9/6ML/G4cntBbDcQO0REY4IhBsMTXc/OsNqteLHH3/E1q1bRf0zrgaNVRUAxaD33fkwOf8Ol8gMQZ8eMW90S+D440vxoquPfLEC1ef4TsZlRwJtHqiG1q6jZjrSeroSmh35qG5zTjVksw8YifPViTtJGrYPAwdsRFz917x2TctJQV+JRAmdrkDQbhJxLnZz4zQ1CoVCcLwjzc3NWL16NU6ePAmappGRkSHQjAwcOFAwju6GCZcx8KOjPGf3gEQhhdecnvCc3cPBKBZKKkWPE8cR7yD7dWe0trZi586dtv0RI0Yg6P/YDOztIf4SJydE//YbAj94H3Hpaehx5DDS276atIX9DSmdHGfVto8O7Ii5Roey14+g5ru0bq/Zoa9PID8FRbRSAhkFTPeQw/+ShhsPBu9DbwvZHyEvEp3OlTLBJdAFCjtB5aLUCgsY/AYTpkGLz2HkjVFPiYDVQsNssmLBTb1s7dXVu2Bl+I/9WyL38PaXge8fZxEpDyKVSuFk91mrVCqUla8T9LOfe2Kf3zBg8FacsnBa3KVjuXI9VpUUYb35Qv3VeKm5UohwRCBcZzoKQ/Z+Il1xyc459dixY1drSTa0jQ3Y9dli9H+My0fi5MW/8fr7TYVSKSw1ITpfvbg5w90vACPvekD0GAB89dCd3ZrfntaTXK4gfQZ3XovGKNb9sqEoCTw8BsFrbi+o7aqTeynGCvq2R6kBgNq1j237bIcQ9Llz5+KRRzjH2K6+C56entizZw+Ki4uxe/duvP/++6LfA2dnZzSsXYuSxx+HVctq0owF5bw+/m+/Ba958/jrbuGXdHEe2L3/czsyT08k3nL5cWIZGRk8/zu1Wg33aVPRKzvLFuJvD6VQQObrC30Lqw3KOcVqKDt7mDY1OS5kW/1ZCgDAVNgMRqTcjBj67AZBm+cdsQIjVLyTFLeKVLzPhBV7YHYYIdbOTOVF3JoYhMTenKb1d2cz5kpa8RGEZjpfK4XVrx3DpkVn8MvbJ1DzUz7kDKBWyVBXfxCVraxWyd+5Gqmv+2N2j9+wZPwK23h78TLo3SQUSYSpJB72uxVP3sPVaJPL5aJRp7N7/IaVk5/DysnPQSah4eLUCtgJeUqpGc4y9vup0Zkw7bn+vPFSOSk8SyD816PT6WCxWGDoEGmzefPmbs+Rlsa92aanp6OxsRFaB6UYuovZ3AiaZh8y3z3RuR+Rk/ZxxMcvd3hcq9XyfF8i+rMaDM8goR9Rv0k3I3c7q+K/tOvv+wRJ7Byu63/mTDQugxw/4K0aDRgRbU5nSF3kcJ8cAde2GlYeLcI6ZfbExLxm296zh/+W3qtXL57mqCNPPsn3tWlsbERjIz8BolgCSUtdHao/WIjWQ4dRvXgRaKMRRbOncWvavw+ed98NeSj//+I0gnPMdh7o32VWZzGChndtbu1Ix89lwIABYBgGrU3dE2xH38UVNn5OpG4cANFyKmK0nnEckWWPRMX5zSnC1FCPCYFLoh+knl3X+3MZGoDl7qxQpIAFkk4ixQAgyMMJM5/uz2urEWicGUyRZ2NeC3v+hopW6JrY77a/VYIWgwVGqxN+ymRfPKp1/lAjBiNHHMesiRtxc9RpJPqloRe466JUUrRQfI2jP+0OurAVzV9eREJCAqKjoxEQwI8+9fUV+ii289HIBQCAAFf2f6tWsMJRQ1uCUL+I61+gWQwiHBEI14GWlhZ88sknWLhwIQoK+OaWigphAVZHdPRRWr58OZYsWdJlFJMj9PpyHD4yCOfO39Nl3+L9QTix9rDD4yaTCUuWLMFnn31mM2HUlRQBABKn3MrrW1PcjMK0ZuiqnZH6XS9oK1zQf8qVJ4FkzLTDCCuJStysZqmrQ+6wJBTdc+8VnVPu22Z+qLUgKO0mbi0MUF0VhZYWL+j1amzYkCZa/DUggCsxERMTI3oOf39/PPTQQ7xCse3+ao549vbbkTeS69+0ZSty+vXnrz04GBRFQT2OrVMnUQdBPeN7yOx8jpx6XZnfkjI8HLdv3NRlv8Fm8WseM2YM0GLF3leP4KfXjqEgVTwJ5tHNnHN5YDTnfO41YQKSjgnzDrm6Oi7869SPM/EaMuth1ZqgPVYuyJVlT7tPmyLSDX5P9Yf7zZEAAPWoYIdj2jHX6JDZpIc7pcfdqvO4X5XSaX+LSMReRxJl5QiUiCcAbU8r9tIfg3jtucOSILe4QiJRYE7ML3im/0qenxFFUUiRc/erIeYY3GxKtO3Pnj0b9913n+177FaRhAjVS+ib8DUoStxEPKL/syhcfAuOvj4FMdGvIdCLfUFqaGUFuVueTEDSzGg89H8ju7zmawkRjgiE64B9dFJHTVFUVFTH7gBYM8Bnn32Gc+fOwWg0dqoh+uOPPy5bg1RSuhrHT4xuO1cKjMYaAAxoFyekpU1GczPfYbrxEvtG11Qj7uv0119/2bbz89nkkNoGtmRCfTlXlNNqpvHr4rM48FM2ZCouGeGgqTMx8s6uI+DEaN7XdcmDdhiGQcVbb9kECMOFC53mD6qoqMDq1atRVsYvLCpxloNhaDSuWQB8dwBue30gb3KGRhOA3NwRSD1/K86emYGamhp8++23vLHR0dF46KGHbPuTJk0SnDciIgIAEBYWhtGju1dn6pmnnkLN7Dld9rO2msHQDORBQYg5fAheTywR9FFdoXAkcXGBhGFwx4aNuG37Prg2R8O7rg6Td/+FuRs2IqKwEK5WFXpbgzHAHCkYH1npjZr/O4veUgpxKgn+/PYCvn32IHYsOw+9ln2AVuQ1Im0fF83UseJ7WKkw0kms2G47tM4M2tgChmFgyGlE5cJT0OwqQMX7J2HVimsW6TZNR8cUEcpIdwS8PhjOnWgsm6taATCYaZdQ0R6pVIr77uOKH9fXOy490k6stBYuLcLPEwDUNCu8FGu42ofTCtgUCoYOkZMmpxrQunq0bH8MWXG94N/IvnR40a7oaw2HlJGANrIFia0t7GeTk/suVE2RCLz4OJQ7+6Ls9SNITPhJdC2hIfezBYZlLggPfwzermwARqOOncvFXYkBU8LhpO7a/+5aQoQjAuE60JkvhP2DOTMzE9999x2+++47LF26FM3Nzdi5cycWL16MJUuEDzB7lixZghYHVdTtKU5PRebpdcjLWwgAsFjkSE+bhBUrX4bfWB30oT3Q3OSPixc65jFir2HFsw/bNEL2pKRwb79btmyx5UgCgJiBQ2zb3z570LYtcxqKqAGDcfMz8+Hu54/Y4ZwQkHfGcQ23jujSxLULrsODePvNu3ejetFiNG3ewmunm/mOyPZ8//33KC4uxurvv4epjNPaSFxkMKauBd3Elohw3dYM3zcs0OaJhy3bm79mzpzJc7729+c/SPv27YvZs7kisHJ51+HUr776Ksxtoeud4TT8BVR+cBLl/znKCkh+fpA4s54mbpPC4X5zBAJeHmTLpnwl9DhyGK2T7sfZAa/ASRcMhX4yGjzHoDhsMqSmUXCrGwI5ZOhtFZpbZemcBrCHSgoKrEBdlt2IVS8fhcVkRW0J/0XAybXrz6eznGLaQ8lo/XM+DGeE+ZAqF55Ca4rwhaC9Tpy9OZdhGGw8U4J8gxmqWKFwWQ8aP8KIifpGREiEPksA8NZbb+Htt99GdHS0ra29vMzKBwaJjlkAJ6goC5x14lqrm/UKdHRtmljC+r/V2eWWAoDSfh+hdc8btv1GZ9ZMF2cNBsMw0O54HK1/zoe55AQqPzwFhmZQXr4Wch3/O9y6xIBRffhRtREiRYk9XdjfQbtw9E+BCEcEwnWgs4i0wsJC0DQNjUaDTZs2obKyUtSPpDtkZHCRZX/99Rc2bdoEg8GA9evXY+vWrbBaLNj84Vuo1HLOk+lpk9HUFIDamijkV48B3aYOt1rl0DcoBecAgDWvPNPlWn567Tnbdmg8W7g0+4Twuma+9i56j2LNOyoXzvSxc8mHsDQaUPHBCZS9fgTGYk6AMZW2oHrZOZjKWsBYaMiDxE0mHrexDxhLYyMMObkof+FFNP78s6BfxauvCdoAvuBqlUhw4u67wDAM6urqQDnLYC4+AgDQOTnBLGPNd0WGeNG57BM7uriIF9VtZ8qUKVCruZQGdDf8opydnaH5tWv/NYk750xesYAVQGk9a7aRuiuhHhMKmY/jqK/uIPXxwSnzUJgV7DXEjOmB4vDJKIiajmb3KJjbPlZlN3LoxKkkCFdQmO4hR5RSgvR3jkPZocCqRESQG3LyFJx0OvTUsMJWSkqKaCHf1vM5MJz+BqWhIdjXU42m4v2CPo2bWe0KbbSAaYuMa0lmtVOUnPPR2ZVeide2XMCUZYd5ZkkdGFSAxnNOJqxoiywLk/KvAQDi4+Mha/seWSzci46nF3vOkVEemD+RE5rcKD1my3OgkuUL5uqIigGkoOHSdv6eGlYT2nqY/Q4P6bcTlAFQpnDrYgCY2rKrW2CFuYDL4m44xxY41lcUAlaAouXQFh1D6/FloPXsHDVLz2HsmAtIGrYPAwZsQFTUfMG6pG0vjt8fZs13ja2mLjPBXw9IbTUC4TrQWRgxwDpXb9++vdvzzZ8/H59+KgyTb/dHqaqqwokT7IPP3k+pQcQk1trq2HySubMXAmIrMOPZ73H++zdhdveCTNsEicWMc3/uxICbbwPAphjoSHVNLaRgBR5p2w1//xphxl97lM78MOLGbZdAt7IP7tpv0uAxIwZOCT6o+SoVAFDzZSqvv+uIIGiPtflwtT0va5YsQf2KlZCIJEVsR+sg91BH/57k8eOR/N57AFht4MCoKGg8PXCpBxvmPui0SIGsNuz9RroKUaZPnQbGj7Pt5w0fAe9hQ1Hvw5k6Y8LDcanYsTlR0WsGTFnb+W29Z0Ki5IQuxmSFPqcBxlzWyVvidHUeCZYOYe4T7u+FkFhPXDxUjqoCVlgpMFoRpeQnAx0i4ocUJJfAtS2RYYJTW/98je14eIIw23Pk1i3ArNmILCpCUUQ4MIzN7r59+3b0798fAGsSqlq8DM1b2Yf88RGsifesrgCjCqVQRI7lJmQA2mCxCZMhH40C2qLa9Bfr4DE1ClaawXPrz9uGUDIJQj4aBaPejNj32hzO7ZRXUVKh5mjOHM4kWlK6Gh4eldBoAnH0SBYGDmjE8uVsMMSDI27H6mNFGCEvglqiRTaaBZqhjjgxwJ1tvk3+5/nCVMOaNaj77nsEmt2AFi5gpNYuWSdFW2Gp4af1sNTloXjiY/CKluFCxH1o8aAAjyEYcPIzBPaeCsbUAgoj4OwcCUmlJ2p+SYXvowmQKLnv2eE8Vuur0Znx9vaL+PlkMVRyCf58fjQifTp/ibiWEM0RgXAdEBOObrvtNtv25QhGAHhaBXsuXLgArVaLTZvEHWLLqqqhD+b8EpqbOi9oagiMQrEmCfX1rrAER8IYGAFdGBsZlPzj9zAZ9LBazGisE5q1LGoPAGz+GwAwtIo7tzbX6WHUmUHTDCi7Wluxw0bZHtrtaLZfQt0PjvPoWJtNUM/rCWmAM3wf6wsAqF+xEgBAdxLK7YjOEjYyDIOzQwbbBCMAODtksMP+7X5YCQkJosfffPNN3HvvvZi7YSPKnnoKxra0DQzDgNZqMX7/ATi3cg63tw7galYNGjQITAenXUVPzklcETsV6hnfQ9lTGGZfv5p74Flbr45pQ2cXZeYfyfqqxQ4NwOxXByJ6APudyzMItakJVmHUosKBHDnJTYaIeC/c+lRfwTFV794wyeVgAMjM/M+FsdCwak2o+Ggvan5fh4133oGNd3LZvfVOTjCmrYO1gR840biFcwDXnuI0oPJgVmv561m+nxPDMEhLS8d3q1bABUaHddIAtmjr66+/zmszmzXQaDgTbbtgBAB3xSqw98XR8Jdw5kWKcZx1HgDiKI1tuymWb26uXvwRtDodDg4cirJgzjSXPGG8bTsy7QSk3vxcV/pjbOLRhtYRaLFy/6hziS9Bf2I5DCmr0Hr4GKzNRtT9cAHmMi0q3j3BS5fw6k1cpOHPJ1lh32CmMW7JwU6v51pDhCMC4Tog5u/g6CH5d1myZAka2qqee3hWwN2dHymlDORuYml2UVZi0E4usLq4Yc2aNbB4sg81RsmFKn857w4su2cmVr0sNLMluo9GT7dBMDQ3Iz25DCvnHxE9x/al57Fi/hHsWcE+pG9+hlW9964UJjIEAHOVeEQOAGCkN5Zu+Ab7fbKgjHCsKWqH6qCp6oijMh5/Bw8PD9F2uVyOECttixUqmDoNxfMehLHNYVbCMOiVyWne9OvW4+1X3sSzPe/AGI9Y1H3NOX07j3sbFCUB5cSW/gh87wmEfDQKki58c5ThVyeM+oJdodWZL/ELj/q1ncPQ9nx0ozkTHtV29ZcMnCZS4SCdgLOEggvDiGrhGhsbsWPObBwfPhyUEz+0vmLRKVS8m4ydjb9jx8wZgrFVgYFgAOgOf8RrN5VwZi7NNi7fmOdMVtv1+la+0K4zWbFt21Y01FbjdlU6blNkoF29c6eS0zBNmDABjz76KFQq/jotlmZERYtrIvPychHpzTd9UjT3v9V4pgIAWl2LbG39GO53Y3B2QvBnfM1zWv9+qA4IwLFRI2FQKqHvsB6m4BAspcngN1phlrkgO85xxKc+7SIqF/GjaevXct/jpCifjkNs0N3MOXUtIMIRgXCN0Wg0vPxEAHDzzTc7dLJtL+DYFbNnz4ZMJsPTT4tXsJfJjEhI2I++/fZCKuU0AgMG/o4mjR+OHL5PdJwjxMKJGYZ9G2bazGbuNCdsnJLnIdF7AsJce+PIRvFaYgDQUm8AGCD/XA3yzlZD39wEhcQJCom4v1M7NMPA0sE3IaOQveleunQJ1pYWMCLmvnbi0tMQ+vVXAABFOL+kgqZahzX/93un5++K/ufPQy2S8dpZRCBjLBZYta2oX7GC1647eRKF02fY9iOKiuBdV4f4CxfQtGMHKj84CX16HcoeuQ11bdcCANI2vyKX8e8hJvkAnPuzfiq0tvMSGnL/Kzdj6FtMMLUV+/WyyxLdMZFf/GhOM7FLY8ZIYzw8aVdMMnEaoEITjRyD4/9dOx5V7aViuOsyNuuxfPly0AyDsrBQlHnzzW7Nldmw1l9CbSfRa0WREYI2eYi4X5vUteP/mIErZURlPd/J311igAw0QiWNUFHcb2m4SF6oS/lLUFW1DUFB2YJjAHDmzBmc3ZsHr5qh8KjvB5nZFZI24UjmXA+zshm1AYehcy2xjVG3dDBZdshNpLfLeL1j5gzkzxRG29EtfE2uXiFDtd8AQT+As/JpD3IvRebKVOiOL4cuhTPrebk4jkrTGq9/yZd2iM8RgXCN+f137iF75513Ii5OWL/KnrvuYmuZffPNN7jllltsGqampiZ88cUXuL2ttlRCQoLtWGJiIs6fP8+bR6nk3hTDwtNRWDAIajVr/kpPd5ykrTvQUhkkVgsCnaLgJFOjXmlFGYQOtjoYMcx3KnZohDc5v3A1aor50XV7VmRg7N2RUCgcf0Y0w6DUxCDDYAXDAFPcZZC1aQ/qGzk/jpwhQxG5+VfROWT+/rYsywBgKi5GVlwvyMPCELbiB+xdW41Co2P/oa6Ys+lXSGkaScOSkDdxIq+4akfnfGNBAQpuubXjFOLrtloxcR/fYZihHefAoeQqyO2EbWUPDxjzNAAAv2f683y21ONCcaW0aoz48XU2U/cTX42Fqc3Bu8cgoQCisPNrogGcaXLCbI+hvD4GGigx0YhVdW4q8rEyqPkmDabiZjgn+kE9NgT7P98G+69hUSQ/vP2k/hC8DAAQ4XDerF69EFlYBGvDWVCKUEhc/WHIcBxOX1nSjDiTFNlyKyYq8hAibcIv3wvrH06Q5yFQyv/OS6X8a8zLW4SSUtYU3JlrWsqOSkihhJRWwrN+AMwydl4Z3bl/YzsHy8pgbySjJXwhNoMZZtvu3+He0k5mn+fQ5B4teqzGdwD8a8/BmH0eijjWzGg4xZbeMWZshUUzGTIPJRQycR1NYk0uXJlxAG5MSD/RHBEI1wir1QqTycQzzYhpDex59dVX4ebmBjc3N7z22ms805u7uzveeustxMbGCsZNnNgx7J7VELUTEpKFmB4n0T+xe1mCu8IYFAm13BujA27HYJ+bEOHRHwCgYuSIsHJ+TDsVZ0XH3/R4PCL7ifs7HVxXD4vTODRbxVXqhSYaqXorzAxgAVBrYftpZ3jwNHRmmQza5IOC8R6vz8dbT7sjYU0CquR6MACyet6NvOhZMJeUIH/yFDRV80PFXVok8K7tfmV3aZsARJvNGNKfH37dMd1CdwUjAJD6RUAWxtc0WOsca+U64n1fb1AqKdRjQ6AIUcN//kD4PJqAgNcHw31KRJfjKy5psOvzVDR2MG2e/p0rlnv+rxKk7Wf9b6QOHnz3vD+Mt79LY8YprQWuT/bD7iYzaABWB8k7O2Jqi2LUna9BzVdpOC2/1Gn/4ogInI+L6LRPi5sbmtVq6A5/j+YD74rWFwO48ipbF53FNJ0C4RYJQqSOfds6Ckb2ua4AwGSqtwlGneHaJKxzJ7ewfogGg2MhV2bifBXPnTsHOiwMDZ6eODRmNOp8xX+PANAzR/gdY0AJBKOYS1yKjIw+D3N9aStM2bts+5bSkyi64wGYq6rAMAxuKhLWJ5zgxYDqRq3BawURjgiEa8TKlSuxaNEiXltHv4KXX+YqUSsUii6FJ0e4uLjg3XfftWsROn8GBnbff8a9k8guALC4umNYIJeH56icVf9XSTSYYOYEOq2EjXzx8Oeu676FSYhO9IOTunP/l+QWC3RWBn7P9IfnHbFwHcE6kVab+ULT6VYrFNOisWE3P3dRk5s/yqRRMCg9UBkwDDTFPmznFy1FeYMWPWoHYtr+O6F1CUZl0AiUhk5ASQgbIVbtxNcaqfRD0C+tDnds2Nhl5fkguwg33VkNahbzBUQxM0p3oJyd4Tz8P7woKqumFMYM/nVTCjVcR7KmK6+7+Ro4iUKK4AXD4X4Tq02R+zpDFe0BmUfXJS8AYNuScyjJbMBfK/hRS5lHuCzvGUfLoW1kHbJLs8Rz+Xj48b/nNIAqCwOPcDcY2/69Ex7oBbeJrIO2Ks4Lfs9xmZm1DgRn2tR1JunusnfyJNAUhd9vnYqt1lxoaRoMQ0MRWARFJA1lDw84TwjFd89zTvtRlu6XW3FyckJYGN8B3WQSCuBhYUKNlZO+c9P7QLsafg3eXP4xuYn/u/51eBL2TpmMqk5M+R4eFTCH8u8nLb4MzHKhmTGs7IDoHPqTX8KU8xuvzVychqoPFsJSWYnnUzfDT8d9V+7P/BOPL3walOzGGbeIWY1AuAbQNC1aFsSpQ9VwV1dXvPvuu2hqaoJSKe5jYzYaIJXJOXMMZYDJVAcnpwibMyrDMDAaa8Fa+inEXWF243b69u2LI0fEHajb2eeUhbmm4dDZVQQ3URaAAeRWJcxSrr1VqwMDBuPUMpjTK4HxUWiu67pK/IEWM54IUUMRogYS/eA2JQKyj88C5XzNRX6F8G39XOJTkKcpgaQPAQCV/kMwIO1zZIdI8PDZN0G3+X3Q0hrbmEsxc2CRKmFWcqYJt8bekNAKuN59P6TrFsNaxz3AQmgaRn9/xMfHIzmZdVatCuJ8aky5f0DZewbPzGOf48hqFK8dFr1vH7QHDqDaTrh2Hsg6qFMq7gGnO/gBbxzl7I2AD1bB49YoeEwVz7x+pbSbygCgvkwLxoEztLaBu6bhc8RLhADAw5+OQt6ZahzewNdKPPHFWDTX6+EZ4AKGYeCU4AOZtxNg55jtOzEM+mRhFuyz3cj3010scjkMKhWAHlC2ROGIsRYjT38ArZX13+uVnYU9KzNgMXJapUFGBeqscjASs62+ajXtyosq6wyTWShMymSFAITpChwhM2sRfSkfvjW1ULe0YNdtXE09V20U9C5l9rVfu8TDowrGBAaKto87OYHCgX5SvPgbX6Aaevp9rB8tgb2nklWigJQ2wdohBUA72v37cWk/ayaeVHIWa+MmAwDuyt0Puapzn8NrDRGOCIRrQElJiaBtwIABoiH4FEU5jGAyGwxY8dwjUHv7wtDaAiefFgSM5N4KBySug6fnUOTmvYeysp8xajQgk66Cp9cW1IonjQYAyOV6mM3CRH9yuRzDhw/n+UFERESgqKhI0NcZ7M2r2a4yeD9LBGvmkqqANuGoHi2ocD0DlSQQR1UGVB5OxkTFRASE9XS8wDasdnfxmuJmbPm/FNAWodZAl5qGjvkENT5p8K3iMm5rPFlz5MNnl6PZPRtGpxoMqxqNlAERvHFnkvhv1woj+2C6pPHF7UcOI7tXb4zbfwD13t4YGt8HqofuxP4czg/Im+FHfNEGDWCnmLH/bA8++Tn4QdUscj9feN1/H084Cly8CNVLsiBpi0ATw3XyYlhqr54Tq1FvQdaxChzbLDRVff/cITz+xVhcSqkRGckS1svxQ13lIkfC2BAUX6xH8cV6TH2GTRQqlUvgGcAKkBRF8ZzEQz5iS760plRDTLROk3F5n241DsDvynOdXl9X/HXTFLg3skKmSekFWLnAhpYDB5An4pbmU5sEAKgNYLNae1J6ePabiMa0fbx+HbXEVqsBJSVCk1pYmBvayzEmJUXgxImiTtc85OxiUADc27K+37ZjJ5LHcj6GnrUD0OpWBJNKXKs3+PRpnBnCZbSXy42QF3G/wzM9KeSEUkjt/7ytrV55AduG1mLnUArPpktg1rEvciaFK5wM4ufpyJy8ZFAMg2FVGXAdP77rAdcYYlYjEK4BYhlexfyCRMfSNMwGVuCovJQLXZMG1QV5aKqu4glGAHDu/N2oq0tGWRmX9blXLwNqax1HWtE0ZROM/Pz8MDTACxFt2h+z2QxnZ2ccOMCpx+0Fo/EmLvuzD80KersVnJ+PF+2CYmM5nLWcuSBFVghQDAwuFahsS3y3b98+UBu5SBzGxQRGJu7X0R4B9evis6KCEQBYdawmSWY2I6KwEMOPHYPUYoFJruH1M8vkMMubYXRiH+j20TwAwHTIpOfUGmwLL68tabFpSvxqa9ErOxveTz2JsZvG4oNUToMzfdJUKONvt+0bM7eLrlnbaEDQ8VWix9p9LUJ/+J69roAASNWOhSJ73CYIcwVdKT+/eVxUMALYRI9FF+rw1w/i9cEAQOnS9fv3TY/H4653hiKsT/e1nY6SVToznLbBl3HDHYYkKEwm9LnoeI321NH8FwaTA20uAJQ8/ZzDYwAgsSoBBqDA4PmZI/Hwww+jV69emD59Ory9vXnlYQCgsPBz1Nez2ke1mvudjRq1CgMHbUe/frsRHlGEwYO32Y5Z5S2QKTmTV6+sn6AyanjzUgDkJs7XSUa7wl0TD+9qcfPuhG/5JVTkcgMax3G/zbM9hGqnLf1XYecwCUBR+D3+a1t76YgnRM8hhspqxj05exHdVIGQZUu7Pe5aQYQjAuEaIGaS6uhv5IhN7/8Hnz8wB41VFbCauTdVmbO4RiAt/RHe/oWLT9m2W6uF56yp5pwoH374YYy5/xFUKjltx59//ikYI2EoPGKYgCja35bF+KKsFBZYYZFw60pWZCDNJxegOe1IjUTcQVUpodDfSYqBzlJ81/cVaEPFEy62asRNT/bkGELhVV+P2Vu2Yuip0wgtLcPQk6dgVmpsfRgw+G3q7dB4pzqch6H4ApprC/dZBUSxn1Hw0s9sbYP3tuWJooAtkVvQOLoRwSN7oLx3L24SUyvCKKGz65o3+JXj5W3+JxFbuBIgrqNGoVd2FnocTLYVOgUASiEMuVcNYR9E8sArD8fviFHXuQ/P718JI7LaiR7g22UmcACQyaXwCnLpVt92GDP//+T9XF8cDkmDGex6Q63ekEEKNZxxP30zBnvchMmXuk5wecwchTUG8fxaAGCVsEKZVu6Kg2M+73Qu79qh8K5JwnmK1TyFhobijjvuQGJiIp599lkEBXVIxFi9y26PwoTx+ZgwPh9SqQrOzi1gGqNxZosSRbs4wSH6prcw75N+6DHYH64tpQio5ucTasfFVVg7UMLIIDMJ81ptbT2CJ5/iaqD90sTgeTcn/DBFgiWzWAFIauXUtBKpBffE32PbL5ByOYzKrMEoCxoFq6TrMjHthK1aeUMdsdshwhGBcA0oaNeDt0FRFCQS4c/NZOLqCJ3ZuQU7l3+C0my23Meq5x9D8YVUW18n766FhI4YGrk3X6m5B4YnHYKXNxdFolAokJOTA6MD3xfbuRnuZmUv7ByXijt5N/mkcmuQiD+ULLAiXClBiIL9XO5tnIIhLsLQ7XULTuH3r/h5ohgwiM5fCwCgJSbU+x/HpL18s0VoWRkk1jbhkGEgM2tgUnIPeyedDnds2IhBKR9za3XiEmbKTe7okcelAqgqaAZttcJ56DBE7tyBsBRhYdx6Qz3WZa/D/IhPUdiTffhZ6vMwbOO3SDp+HLM2b4GmshnbPj0HqUljG1ccOgmRW7ci6o8/4NSnj62dNlpR9voRVH16liccud622LZNOTsj5JtvEPjmfQh4dTAoBxFi14N+E7hIqaSZjv2N/i4yL07D4zmnJ36u24jF6u9gbhNuQ2l+YkGZTyzCQoTZwe2hGaCRcQbT4bFI231/D41eDgbA+jGL0B0kjBwVcJzk0B6jiSvt09LCTyjJMBQqTz+M5hJ+ygOVkw4KhQ/iC9ZhSMpHoNo0n+rXXuDlAfgp8nvRc3o29EfikAE4HHAYLfIWnPY9jcWnFyO5hkv2WN8Wqbd3gASnY9nPRmXhTILDZ/fCq4NfdXhduT3vRGHELQCAHPG6uDycBzvOMn89IcIRgXCVsTdJuTs7oXd4KN56801Bv+bmZixZsgSbN28GwzA4tP4nnGvUQRs3ABZnNWTOZuRnrwEk7A0v+hahA2pXGBqUqM9xh6FRgdGTfsPx4zk4dZKrtUZRFAwGQyczsLRKOOEpMI4z2+TKy8W6d4tqcwV0Jz4H3VoHJc0KX4FyCaZ7CN8yiy7wI3bqAo7g5IhQ1PscQbOH43ptcsspuDUXon/aMow59hbGHOS0U0NPngIAuLWUQGbW4duhz6PVjRNqg0pdMODOAZg5n0tyl9MnHnnDh0O7fz+GbR4lOF+sZyw+Ov0R9FIjPMvbHPLNOlC0BWElpZBbLDj80rcoy74E1HMZra1SBcqLDVBG8XPyNO8pAgBYavVo3MI6LsuDXRGycJKtT/CS/4N63FioYr0g8+qedrIdhmFwKaUGTbVCDx59y+WXEhl5ew88/e14PP3teLj7/r3itZ2hCFVDEe4GVawnNHEWfHH+C7jZaUH8ZB68/lLvrj+XsxYHIfAM/zFZGTgc0Ra+EL/Ns8zhvN9t+Q/o1laHx9tRKDjtolTKav+qC5ux+7sLsOg9RMdMGJ+Pyjf+g6YtW3ntN0u+xNzXpVh+mwTf3ixBhZcGO3t/KTrHZ0VfodapFntC9qDUlb3HfH/wZ8iNrO+dTibMm9TLziQX3kfoV7ap78e8/bK2KNDNIyR4+knHuat6ZWeBcpAc93pDhCMCoY3MzEz89NNP2LhxIxYsWIDS0ssXRgDg8OHDtm1TTjpKd29DxqF9gn67du2CyWRCRkYGTHo9rM5caKw+PBbx911CxMQK+CYIHRpbyrsX8u/kY0TpwSDI65+CRCITmPvMZjP++usv0bEFar72q9JMgw5QYfzczkuOtKNq7TzcOKNhL6zVF9G69z/4Ju81tup38TG0bH8MkXZv0R2xSLkHOS1jYFY4ziszee8eDDq3BF4a1m8moLoa0rZM3/41nCOx3KxFiC6EN3bYmaWgpDIonKSQWE1QGrjswLXLP4d3k9D/aVPuJiT6sSHnP48Tv73qzXJMPPIuxuRw3y+p1cQrucFYGZhadZC6c5o/cxX7kJI4s6Ydz7vvgqpfX7iMHOnw+rtiz4oM/PXDRfzytlALdnyr0NcoMMYd8z4eITpXSFz3fKKulMKmQkzbNg0j1o9ARn0GPB7uBZd7ovFi8osAgH71/Wx9vY2scKHq4w3/Fwcg4OVB8HsuEZ6e3BrnzZsHT09P3HHHHZg1axYyrVzG6HJrm6BFSyBh+P5N2bH3oCMjlQUwy4WmKwDQe/RC8969XV6fUsElzEwaegS0lcbmj88i/3wt8n/7RND/5icSYMjKQlMndRmP9ZHgQH/2e2iS6nEuaC8ORW2AlbKAbkv3MTf9Nf4gBph9cT48Gvsh2f8ILBK+aVVmlWNQOXcPaE/T8fk4zszY4MKP1KUlclR5AmnREtR6ULj7FSk+uFOCCjs3s8idOwAAZtoMM33jMmO3Q6LVCDcUq9WKrKwshIWFwc3t6tR1uhJomhYUa125ciWefvppNDQ0iCZeLCsrg8ViQUREhMN5qbYH8d7vv0TMoGFwdvcAwAol9skhC/PzoA8VJnYDgOBhNWDs8qc0l7ig4M8wqDwNiJvLJd9L/S4O/R/nlxtorWLf3vuMniDQEFEUhQ8//FD0nHXKOpz3Po+oFi4cPJm6BJ2mFPiwe2U1pNbONQcl4eEIKy5BcEUFzAeW4qfJk9HTmo1+ACKPv4/ypA9hUnoIxjX6imeu1qtUcBLRgu0Y1wPTk7nPes7mLTB28GmIy/oYTzQGISPeCJNSiZjctv4UBReJHmOPvCiY9/E/aSy6k30LfnHgi1iawvqCnK9hswnnhIj70PiV/yFoq/Xth54hrmgwNOBkxUnEb3aDvkYDlYsrpOC/abdnuA545x3R+S+HziLNsk9wJsbHlo+BXMmt476FSdj44RlbeL9noAsmPdRHMMfV5IXkF1DUXAQAeOeXd5DQyObTyg3PBST86PR2J3pDRj187usNAFjXsBkr3VeiF9MLC6cvREREBJ5/no24SiluBMAJqxetAQiWNsNJJxZLyMfaJqw3eWTAWReCnTFrMCSzFlFmtlBsXsxsBC78EB4zZnQ6T3NLOhpyJkKiuxMrNqV02hcAIvv5oHmXUKid+4b4Y10n1+J0OJtrKMufHTfzwovw10bw+gW0cNpLKc3XuAU0R2Ja5rOi848LG4dTd5/C0HVDRY+vuikCAKths8goXIik8MLjEmxabIE8PAyqnj1hpa2YtWMWpJQUW6dvhYS6cfobojkiXBeqqqqwbt06VFZy1az37duHDz74AJs3b8Z3333XyeirT2FhIVavXo3GRlYb0DFrcTtfffUV1q9fj7y8PJjN3NvM3r17sWLFCvz444+2orJmsxnWDrW8KCs3JvcU54C7fv16AKzvjJWyYsOWbegITXO3+5CRnCYlI5/NBWIxdlRPixTgvMQKnE5u7gKtUaZbJrI6mKQa5Y3YF7QPRwOOQsrIcNyPW7PO1U6TxnTtPGuR8XO7UIwEJS4lqFdyeYKOj2DV83tumgJaQiHbzpG570Xhd8K1RVybR9G0qGAEgCcYtaM08U1Gni0G9MwrwMxt2wEAfrWs0KA9dQZNK8S/m/0LGUw8T+OXyWsQ4hoCeYdIuloP0WEIaBSaYKr8XHH2jyI88tvj+OjAh5A0MHCRuUMq+B93jcVsFY2WBADaLleRxcT/rrY0ODavyhT8R4WbjxMeXToajy0fg7lvDsZd7wyBs9uVO9FqtVps/+ILZN91F3TnxEtVFDRxmsx2wQgAAvSsxsfXwGpelAxnlqHa6ro1GZvwacqnYCgGmZ6ZqJDxNRsFtfzvanVbJKartvNcUU2eF9Doza6XkZrRqi4EZa3BI3u5z9mk9IBJb3b4PzHqLTCbtDC3eqEm7Q5U5XWv2CpFUcBlCA86u+CEdrYlLIW1QxDC2Py7bNuzL8zHM3mfYUbkLADAjIwXIGW47+SoO/gvdM5yZyTPZf2V/ojj+zkNq3wFcosSUpovvD35XDj29J2P5a/9ht9T9qKouQj5TfnQdIi6u94Q4YhwXVi7di1yc3Px3XffgaZpmM1mHD161Ha8tbXVlkTvWsMwDNasWYPi4mIsX74cDMNAp+u8HtHatWvx4Ycfory8HDRN49ixY7Zjp06dwoEDB/Dhhx/igw86JOWzcjdJmZ0tvd1h+6+Qv7A9Yju0MmGSuLq6cEEbAFikLjD6BsHa9uCkLQpUnrkflDQINemcnrrgTCxoM9vHKygYzc2c2t9EmZDplYk891xEWH2gbDMdJAcno0nZhF7VI/DQ6U8g65BRl7sw8Ru4ez1XPNTozGkllHo/bI3YijN+Z+Bt5BxUaakUNR3KFljbHNfdWoS5onpl/yh63qGnTvH2y4KE/kCXQ8xNbJ4V3cEDaFy3zmG/x3bTUIy7Bz3fXIO1/2fFXQe5Bw1zGdFXd6mCMN1DjkvaHKy79BFSXDJRrBAmEQUAqydgMZtx8KcVyD11jHesvlyL7549hL9+ECbdq/0hHRXvnUD5guMoSK1F6j7+52sfFWg1c+HhwbGeDiPJ5EopfEPVlxVpJsbhNWsQ+9XXYM6novjuu9H02++wNoubqToyrGYYvAzc995qV+qDabuOs9X8FBhvH3ubt//KZi7q7pXhUYg0y3DI1HUSTZOiEYyd2alV1oqH9giz0+f2mIuyZ4Ual/TkUqx48TC+f+40ajOmd3k+AAjqpcfM+azplm7tXnLJzjDZmalj6gbAw8AvOGupkyJg3Rg84v58x6GIHSY0nfs4+WDZuGUo8czAj4P+wzv28JlP8OipT+FkV8bk9vRXwbTIIGtyRto6zoVAY9Bc6SVdFYhwRLgu2GtmMjMzRc05hw6Jh3JfbbKy+NqSjRs3orUbDpMA8MMPPwjMUwcPHuT5GfGwKzKqb2mG2WCwCVYahQatcva8ee5C7UZzs6NaRxTCk0ajNYTVspQdeRZNhaOgdLsTNalzkLMlAmk/xKL5HP/nbZ+Ass6J1d7cVzcVE839MNnUDyaJCUyb0DOyaDakjBRj8+92sAZxFGYP3r5bY2+4NsUg2mMQZsbOgNzCQN3hoZc8gZ/w7bdpU23bweWH4KItR8LF7zH47GLIrBrbsZtGj8bEI0cRn34B4cXcg/7MgFeR2+OOy1q3PaVOl2D84afLGqNPYZMNzjzBFxrPxnBCg9RLvECnoidXW21641gUKyrxVtiXeCJ6oWj/Lec+wcpnH0bK79ux67PFaNVwvlAbPmBDufPPsYKpvZBjzGd9sxiDFedWXMSpnYWwx2xghYrCtFp8++xBW7tY8dirBW0ygTaZEPkF31m44uWXkTtE3DzjoxNGf42rHGfbti9fAwDLNyzGC8kv8Noajfzq8u0MMsiAPyoxq1UJi5H7/VlkWjb7e0c6yIQ57jkIbGC/A4GVnOBaFTAMLfv2I6uef+85spH73TcXdV1WxjdMjZnP34qgHqzvlLWRfx1rJggf6VKqc+2jUaaDhJZgVMFcTMx7wGE/2W6hsKhwUBh4QtgE/DX7Lxhk4vfVXjVsosy4an6NPS99APxbIgCwkZ83EiIcEa45HdXJmzdvdtATNjPXtcReYwUA2dnZ+OWXX7o9vrtrdCrOBgXWpAUAh9euxtLH78feNufMM3a+MxJG+FOsrGDrYhmNzqirCwXDAKnnb8KECRNwzz334o1FHyM3JRG6Wq5+lkw1GPp6HzA0f76tW7fi+HHORHaizedgooa9OfkzHmgaJHRs9rR0XmPNHrnRQ9AmsargpA8C/Goxf9B8LEqNxcS9Qud0ewxOTigNDYFRoUBs3iYMPbsIvnVpUGvLcDGBS47n9+WX8C4vR5/MTN74FrfwzsuZd4FHTbHDYyeGvAuts7/D4wDgoeW+719NlaDMGzjei8K50f1F+8tCuWzEI5oT8XngWtu+tc1p1u3lOFxoPILDVb+CBo1MeRlanNiH9beP3yc677oFJ/HtswfRWNUKuoMJbZir0C/lzB+FoGkGf3zDDyOPG965Y/2VYm1uRk7ffsjp289hH1Mx+7+o0LJaNFezK8ZUj+l03mCaHz01O3UknK3CaLX12ett25N6+wMMMM7AaXfvbOWc4Y2qWmi9+ea+ZrccwZyF6kLIrKz/W3p/a4f+kXh1xe0wWNiXq+Zmxzmi7BlzN+fv2FEYsWo0tu0e6an4fQj3u7+/9/34febvsDLiyVXbMcp0UOW9hD7V4o72ndGZxjDINQiggGalUMiJqxkKMMDYgrsEx2ZeZP373j38933q/g7/KuHo8OHDmDZtGoKCgkBRFLZ38NJnGAYLFixAUFAQnJycMHbsWGRk8NXLRqMRzz77LHx8fODi4oLbbrsNZWWOwzAJf4+ioiK899573e6/fPnyy5rfYrHAYrEI2jpDrObZ5fDDDz90q59Mp0X0oKFg2rRHZk8f6CJ72443K7o2G2RmjMHpU7ORlTkWtbURuP321zBsGCvQUJBAUzdOMIaihL4f6eniN2KJ3avv4Vqh9svUPfcHdq1uuVgz8C1UOnF+ZRqfc2jwOYPM0jNQK9QI35sJhdmMEUeOdjITcHzECOybNBEHHrkHLz7LpQ4oiOa0L8ZMYQh/nVe8oK2dHdNvQ4/jx2BRs1GBDX37YPuM6dC6uNhMeQDwyO/C4p8AcKHPo9A7+6EsZEKna592iv1//zbzN2y/bx9qJ63GshlS7AoQd7KVKN3AMAxqZA14JeIzZDpzvjUt0lYYrDr88PSDyNQcR6W+AGV+ehwYVIst48rR3JYY1Gw02GrVFXtkYE/PVShtYL/n53YXo+nPQuGJAfRzkiCizZ+oIq8Bp3aw59YqNNjTYzUq1fmQSq/sMWG1dB5x1NhFAV8AoPV6MBYLpmyZAhkjxZSyKV2OkYj43r1e/hAAoJcX59O26BSXq0hvsqK/ybGGRe9cAatMj1YXoeB895iR2Bu8F1sit2B2z9kI7NGPFeI7LMMsc8Ynq6348c4BSH/sAfz8qvj3rCPxo4Mx7t44uHoqMeoOtuQOwzA4W3UWJ7L2AAD8Xp6PjCYuGCPENQSvDH4FoWoH6QnsMMr0iGsN6LJfR/pP7HruU3efwrrE9wXtbkYfPHGy83t9qb4MrabuafSvBf8q4ai1tRX9+vXDl1+K52v45JNP8Nlnn+HLL7/EmTNnEBAQgEmTJvFMOi+88AK2bduGDRs24OjRo9BqtZg6darAkZZwdfjxxx87Pd63b1+MHTv2subUarXIyspCSUkJFi5ciIULF6K+nn07yczMxOLFix0KA6dPi2eQvVb4RUQhMKYnKCkNQ0CEw36X3C8hNCwdPXseQ3QM5z9TX88JBgb9VJw7lY4PP/wQG37ejO9ePAC3pl7CySg2SowBYHF1R2s4P9LOTLEPrd66KLhbOVOb0uyMyPp+kNCOHxKUVQ6FwRvtVTbSPdOxJXILtkRuQXrQEegVLTjuz8/8bJUJc+ioHTjA26NVq1GrtWBYbRIefU6KXUP4TxtlL+G1G1RcqHbRrY/yjzk5QerpiT1R/vijXzROUgYYVSr8Pm0qNs+9veNUDunKl2jaaQZ9C2iEu4UjwCUAkf1Y80y+Wz2U/e6Bsv+9cL3lM8ij2VxF2j9ehHbH4/jVe49grrt6voYdJV/w2tKim+Bfz2o1to5lBaDP75+Doxt/RqOqGn/2+h4F3mn4ZeC7OB6+DVYLjdYTlYK5Y1USRCil6OcshdKSBaPmS5z5jRWQ1yW+jwKfVOyI/xx7i/fCaDEi9+RRrH7pSZzYst4m8DuivrwUy+6ZiVUvPO6wb+1nn4m221M4Yyay4xMwr2oqtmd378Wp8eQSbCp9nNc2uDUefVt74sWBL0JJy/F54eu4qXEEzlSx2tujl+oQb3IcvM1I2OeDScVpQSxtKST2rXoFcj27LW2WIoWR24T4Bu8UuznY39WYiwwasjt/3sR0MGX2HhmEBxaPgHcwK9g/vvdxPPjXg2itZwM1pJ6euPePe239N9/GaudfO8IP0w925aerAACjVAe5lO+7lH3LcQx7OxjTnhXX6j397XiMmCMeXduO1qTFwdKDAAWsTez+CzIAKCzsPYw237jn8r9KOLr55puxcOFCzJo1S3CMYRgsW7YMb775JmbNmoX4+HisWbMGOp0O69ocKpuamrBy5Up8+umnmDhxIhITE/HLL7/gwoUL2Levc1U/wTEm0+Uni2tn6tSpAuHIXlClaZqrRt/GypUrsXHjRqxaxdWlao/+2rRpE6xWK7Zu5SdFAwCdToc//hCGUV8TaPYa+k26Bbe+8BqCRtaCAWPLLWISyRq9TJqHJo8i+Prn2frxYDyRmsE6lmbnX0SN13FhHwCUhL2BWlw9oA/pCdrJFRQtg1rTC65NPUDpgiChpfi0+GVuaobB1KynMCX3IYwv5vsZeVcPh0ftQCTUjYFPbRLcNX2gbmJNeXkeIhmyHcgOn770km1bYTQKkut1RrOzBD+P5wttdSJCV3smXgDIqsxCaSj7MLBKJFBVFGLPd/ySD2FtJTu8vLzg2oWQblCygleN7wC0Ogegxqe/w75vbaRBt2Udt1po3HUgEa1SPRSRY6CIGA1K4Qp5GOt3kR5BYfltEviahXmCvJqFCfGmngjEzacC4KJnP48aD9ZMk35sOzYm2mVuZoCMwMNwl4n/Q+LsTDQ9FDR8VYG4ySsQ4d5VoNuEgahyF2z+/EN8/emL2LX0IzSUl+L4prXIPJIMq9WKwtQU7Fr2MQxa7uFqtVjw40ts+YnGynIcWPO96Munc9IwQZsjpv6WAx3Dz+I+0hwn6NfHEgpFawtuTmFQJ+Obvz8ueQHqFhXW536MHoYwPF91D179bT7if2SDCGh0rSa1yLXQeF6AxisNVpkB8RcuYNwZA7762gowDKwnrci3025a5a0wtpmVLsQ/DkNbagqzzHGJl7yY45j0UB+MuqMH5n08AiatFls2bcLFthc+C23BiUrWLK7WsWuWenhgaADno+UiZ+f/s5ArBdTLqxfKtUIrSZ7vWSTquO/eEnc9dh1PxOwvLuH7vAo8+dVYXn+ZvHu/26T1STbhrEXVgB8HvQmZqnvmbr+22oyUo5vJdeBfJRx1RmFhIaqqqjB58mRbm1KpxJgxY2y+FikpKTCbzbw+QUFBiI+P5/ljELpPSkoKFi1ahPffF6pOO2PEiBFYsGABFCI1dD744ANs3boVNE1jxYoV+Oabb2wCkslkEvX5qaurcxgq205BBt+cVuzVue9IV8TFCW/O7UjMJgybex9KKqtw+Fg/OAUD+4L3YVvkNpgpM/RS4YMdAL6uVeGVCidsi9yG437HYZBwzt/FJUX8c9DimWQVrlMBKECpE+FbPQrqpt7wqRkOlcEXTvpABDb1woyLz0Nr5T6v061W+LayavKYqkH88zAyyK0uqLILVVcZ/LA9fLvo+YObekJiEfp4xF9gi3+a5GqcSPoMvtUjodR3738wvXg6Qlq5t95aYzLUF4ps+xpnCf4aPBdmhV2uLMaElIEDkdOzJ/ZOngRZcyMuJrP+XpQ0AJTUF70DvBEbEYY75syBPEjoW9PswkVBjXiFdZy2ylQ4NeRtXIx/FAfGfgXqrS/h9eCDgrGN61iBXdvYBKWhAUqTBMsCON82XTL7m1l4lxTH+kiw2n+HYI4hmY6LsUZWsA/AP4ZXY9eICqydwk9z8GrFPPyW/SXqT3edMyfarT9GBN2O2fGv4I2eXGmS0Wk+6FnmCvocP7Jt99dL2d/p4neRe+IIvnr4TuSnsFrZZffM4PU9lp2PDz74wFaixmg0IisrC7oTJwXrODCObybOie2JovBw0LVZSG7m0l0MNEch1hoE57ayNkFWTyRYwjDEEgPGyGolNxmWCOb3WK2FE8N9N0OMfgir7w9XGtA7eA5vcOX/Vs3KRlvi0dhs1u9IAuCnpY40T9zv5njShzg55B3k9uQHDKxJ5PJopTofhURCoe+4UFD5GVj10nxcyMzE5q1bQev1uFh1EUGtQZDSUqjblpZlKYNawWqBX0h4Adu3b0erjm+ScuR7VOLJ99mzz9Lxy8kS5HZIczDmod64EgxyLcJ7d6+UytQstj6kQu648O+15r9GOKqqYhOW+fvzb7b+/v62Y1VVVVAoFLwsqR37iGE0GtHc3Mz7+1/HbGbzduzaxRZL7KjdacfFhXtD8vX1xU033YT58+dj0qRJvH5TpvB9CdLT03Hw4EFUVFSgtrYWmjbHQ/sK8R3p6AtUWMj5WbQ0GLDvJ35l7kM9+zucqztkZ2djxowZmDx5MmJc7IQ8RoII9SSk5tVg48aNKC7uh/RLiTYfo7O+Z2GQdl2yo9KlEr+HO064KLU4zpKt8nwGrgY23FdlEEa9+bWGY3+LxSZQVjmodt8Zo/PvxBMnluOJE8sRSkWgj3scwhr7YFrm0/CuY52MJVYl1JpekJldcWL4cOhVKpwZyNVhcmuKBWV3N1ZB/HORMlIMreXejJ/ZxqUJ0D53N96+1wlWUwoMGu47wDBGSCsLkTogEU0eHqCYtu8opYTS7W4o3e7DsTUrUPHnVvzy0uPQaerx9S0SHO1N4YEXpZj7hgxn4zjTQa5OvP5cJYLh89J8RP22i9fetHULACBj/wIAgFFBY4/HCTAMA4bunrkgoMFx2YtBOdx9rN5d6N8zrpn9H/R145L6fRK02uF8P/ny19+VIkVZyfe/2f7J+9j99TLBFLQTew9YvHgxMjIysGPHDmzcsEEwX8ozL6DW3w/NbVGVDZ6eSE1MxKmkYTDJ5eiXxtXX628JBxgGtxuScKthIG4yJ2JQnQK67U+AMbEP8/l9H0Hz3M6L8PatGoNb8+bhyWYnxFjEzcmlnaRKllmtsFKAlQIyejt6WaJA2f2/dR0c+oeeeg9P/GnGj4P+gy3x/wetvAyt+mYwDIPCe+5FlZ3QrjtzBtu3b0dSTRIml01GgIZtf+fi/2FfCWv9OLHvBFJTUzH/i/m23xbFUMhtzO30s+Dgfzff3cH3231g7VkwDAMLbcGpylN49dCr3Q67HzZDPGLzx0H/QXrAQUG72Mvz9eK/LkN2R+95hmG6zMHRVZ/FixdfllPxfzvr169HTo4wUiM7O5unTWEYxhYiHxcXh5tvvhnu7uLRT0lJSYIyFvbh8e1vnZ1phzo6Wq9ZswbPP/88PD09UZbdyKvGnhEYAZ3SCbv7DMVNGadwpRQUFCA8PBxl2ZlAKFto06k1GC3VEgB9gIDDKCuN5yVTrHCpQEVbev0ohRUFnTiCAkCjohGeJr5AT9EyeNglwqNhhQSdzyNGrYWB9xXeBWLruCirW4+/iNEX/4PD8ZxZR6XXQ900mt02+IKBFacHO8MqZbUhMgC3esgB43j8qjiBkZJd6IFCLMMjANjIn0i7bL3tuNXz67llhgLV9UYYXYxQtgLm1j0AJQcYLaQGQJ3Fz3Ejlfe0bVOyIDCWcoBhsLbxEA6OleCgnZvF57OGotHNE38MH4taTS1eEPkcMo9WIPNoBe55fxhCvv4aZU+xb73GvEswt5UocTaa0buYRma4BNkpryKghXJ48518jsZDf9FYPv3K313ltPjsZ1yF+Y/asU8GGFincpTKyoZCUytoE5TJ6ZCk8Ndf2UK+/lX88jDZcbEYUB6BS8pK/HnrLXDXaBBezAlfBpUK8rYkrBRNQ5f8ASCRI3Pwq6i3uGCCG2A4yE8PQslk6JWYiPJNjp3/nWuFWb0vBBwGwCCyejQ2u/IF4lraBb4S9p42/cg+rJkgsYsQy8CE8gB4mDz452htxIgTi1AeNAr50TN4x1T6Orjoa5CUDWweocWnK1mNVMmnQ3F29izk3zGX179x5y7AlRX4nK3cy1Fz26bcKoeXkf19mSVmzCqaBRo0JJCg0LUQ53zPiX4ORqkeSqsTNvZfCLVTLbS5b4KxqkHJNDhbk4vR4H4UZpd8PLnvSVzSXEK1jv0//ln0J6Lco/Dx6I8R5xUHk1XoNtDfvT9WlXyLJz57Aqtf4rSGydHrYJC34njkNugULRhWMg0AcFvUbaJrvV7812iOAgJYb/uOGqCamhqbNikgIEDULGPfR4w33ngDTU1Ntr8rrbn13wDDMKKCEQBs2LCBVxLDPgpwzpw5DgWj7qDT6UDTNHJzu/v2w/LDDz/ARNPYu5Z/Uzgfxj4gHQlGb731FubNm4e33nqr0/nT09Oxa9cuGEK5CuROOu5NT9rmWFjpInSIBdClYAQAB4IP8BsYCj41/JwoVpkOTDd8JjpiYRjUmTt3ru0uxerRvP1Rh/ilTChIYZVyJrvRau4BfrspCf1kgNstCxDuLoFOUYlz3sIbuUdjI27ey3/YrS7aCFBA6YAiAIDVdBFWIxd2rXDilzGRu3BaS5X7LPR/PAtxc/NxTqSIvEFpxZdzH0BBSDhanCUoCUsTdmpj7Tsnsf0A3wyQN2UKwDAYm12CBetobFpsQUhZE2RNGnatIu9kR3tTkAB4dDf33bgUfHnJ/p4u5CcUbE8JoJOIm3MBINDEahj9GpSYctofk8/8PbMz7eUHfYi4pkBl5DSEv94+B2n9+8OVcUKchS3XYVQqodJzfS7FxKC67R49ttoZdHM5rJoiVJgZGBkgpVWoibM2NIKiKEi8L880k+l/FKVBx/GNuwG1UvY3dcwcAT0jgzvFfX57B8htghFFs/06fmd9aDWiivZCZjUgvFRYX21wykcAKCj73Y3le9qq0VMSMKCQL1KAdaWruCastU3BeFvJbTahKbTNTC5pe8xHaiPhbhS/B6cHJuOvnivR6MQKvK49P4TCZx9cYj6Gc9gq/OqXARo0rJQFVNjPOFZxzCYYtVPQVIDbd90OvUWPjw/zC8/GmeOQ2pSK1Rmr8cIXL6DO7xgMqhoci9iKHF/uHpztxwlNz4W/IrrW68V/jXAUGRmJgIAAWw4ZgPVPOXToEIYPZx8kAwcOhFwu5/WprKzExYsXbX3EUCqVcHNz4/39L8IwTJcatLVr19pSLKTZqcFlsr+npLxw4QLef/99pKR07T9hj06nw10rfkZDh3pcWpUzxnqq0awSmqZmz54NmUyGiIgISCQ0hgx1nJdJDPt6RF51g+HUGtxp/1vdu3Zol1Nc5li1RljnTeNzHgYncQGsM4oqc1GXtUX0WIySf3uQm5ox7uDTDucqDucXpE3tL8yoa49aypcMarSLIBnyCOYNdsME2Q5Rx+4pfwkjuurd2I5H1Sq8FHcEI3yLeMeH334P7v/kC8E4AAgZybarPE0Y3k+YJZ2h+A/WP4J+RGrQfkFphHaa6ww43+852z6lN+CW9ALRvgBQKeJSNDmfhjGWhlbJmRTO9dSIjpc4kGuP+mchV1WMNb478WboF5ja6xk8GvUeaIrBCV0jynWXYKXZlBdV+iI0mWrR1JalfVC24wKy+UHdE9JouQKt/mGwugofxkNPnoTKLpEqLWWFQAkojLT0gi/tBqNSCZOdSSUvtidcW9hzW/L2gKYoNHpyv4NqCwNK5cE7j6WB/c34PchPCtnOeYin/FhT+A6+K3gHc2B3fqsvTlni4dvE/Q7r3AZDQkuQUEjjp0+teHGbFXIj9x2aYRwMFaMAQ3FuGFQHc6rcooeix2QoIsfCaeBDcEp6Durp3+Ls7eL1yzqiV7H3GlrC/ViMEiOqVOJuIqOrRkNX/DC0WYsws3CmrT0l9C8UevMjfJW++0C1qQ/rI37G90kv4odh83kZtcUYsnYINpXw61TWWjktY4m6BIzEihaPbFwIPMT7nXvoOIH88DqRYI/ryL9KONJqtUhNTUVqaioA1qckNTUVJSUloCgKL7zwAhYtWoRt27bh4sWLmDdvHpydnXH33Wz0jbu7Ox5++GHMnz8f+/fvx/nz53HvvfciISEBEydOvIFX9u/AUXh8R1JTU7F3716cPcuZMxz5JNnzxBNPdDrnlZJQwc/xkhybCIpmMOrbYrgZ2JuZSSrDvOdexLx58xAfz+XKadFmQans/GZgj8wkFJxdW6IxquB2xNQOFBzzkdGY5GbBzcWdV7rfGH4QzW1VvxmK/1m2hwtr3S+h0Uu8LlU72/ssh4eC80+pdY/BpfCZon0VHfO0yF2vS+wIZTVjsk6PHyuqu+z72LN8zRtFAcN8+JpdmUwGn7AI0fEuAVyupAHOVlAdtG9OLXxhTO86GifDd2LIYJEUCm2YZZ0X3LXnaB/+LdhZwmDsTUbUP2+B9dUmSBVWtCot0CvFfZTu+SsMEZWsgO+sl2JUqg+8NQqcdc3E85EfY4PPbpxzzQJFA2WKaoABKur+wtHqLUjJ/pItnWNpxu7yVTirZ83YfhpxTcuRvnU40q97WYtbY/o6PsgAOXFx2HjnHaho86fxcPOwHb7ZlAhGIoFBxfe3OjRuLLuO0aNxKSYGJjn/t5YRPhU0JcW5/s/j4KilaKxmf7cyHycEvc9/+a2fG4MPLOK/6/bgvofB/xw+tnpitor7rThbnZFUk4S3N9BQWoCkbAZvrWuF0VKHmNImOJkYqCBHWCnnzD6ijq1vyFBWNPscw8Y770BJAre2i0GuWKHajwJp1999AMgOVSB7QJuTc9tX91DgIQQYxPMWKWgFGKsL+kirbRqlbmEvEF3mTcDN5AYfPeeIXe7CmcXjNJwbhqfOHzMyuReLmqKu031cS/5VwtHZs2eRmJiIxETW0fSll15CYmIi3mmrTv3qq6/ihRdewFNPPYVBgwahvLwce/bs4ZVNWLp0KWbMmIG5c+dixIgRcHZ2xq5duyCVXr6/xv8a5893/uC1x772GACbua2+vh4lJSWwWCzIycmx+RIBrNnz3Xffxauvvoq/w5RJN4Ny4HNxLrQnCrzD8NavrGlVpWNvItVqL3y9NA3H11QjPbkMhelsgjbayq5v+Ij1CAzKRkLCX+jl3QC5g5pjSqN4dFGf6pGYeOl+RDTwkxQ+7WtEdtZIuDCumD9wPt4e9jbS709H+v3pUErZm3NC5Rg8ePojpLnngLLK4WR349N4psEq56JSLIoWNLsLkyO2E1l2CRZ9187gAJBp6CDQtvmPJJ14W6T35eHoxkObrADFBvAONBrxGNY66An8cGsiGty43/biGvGkesGn3wBFUZjy5AtImsPPJq0pGMnbj3eyYpzajFilFb4yGo+5pqEfk4J+uZnwr6+FwXVU5xcAgJF0X0saXM8JY9OzLVgUzD2EKC8aCQ/mosbTyMt6MDKHE/6kDIWx533hZJBibnIIoitcMO14IHwbOa2Hb6MCD+wOx7w/wyGzUrBYWV+eQicjys5+hgxlBS4FtyIvVDzhnsXFDS1xA5Ef0gpQQFY4pwkx+Anz5lCBIvZJO07ZhfAfGT0aEl0LPFs5QUgBGawUvwhxR4oiI6DtkLOnKjAJB8d8Do1HT9BSBU4YOBOuRCGF8yBWKxH0bhJSDUaEWsT/ie3+p2pQOAK17S8YEoFA0V70th1PrRQ+eUWo1uZhffMWDPyVn5uppWo/hlZuRKh7EYwyVuA9pMhEPcUKAmfl+Q6vWYytE0MxLHosRgWPgpJm7xctis6FCsbqgngZq1myr0l3LfDV+2Ji+USYpeIJQWPttOAP+z4jOK5rvvI0MX+Xf5VwNHbsWDbSo8Nfe6JBiqKwYMECVFZWwmAw4NChQzwtAACoVCp88cUXqK+vh06nw65duxAa2nWmTwLg7Mw3QfXsyfrtxMYKzTwdWb9+PYqLi/HFF19g1apVWLhwIdavXy/Ick5RlOA8l8tfe//kFYMEwL5VMYCnrgWvb+V8ztTN7DWcD41DeK0FjZWtOLopD398nY7S7AYUFX0FAJDJJOjbtx50bQLqMmbAo6EfIJKLyLk1TNBmz005XGLCZaE6eMoYmMwqvP7665gXPw9zY+eCoihQFIWP4tkkeSOKZkFBqzDr4nz41Cbx5pt2lzBbs1HFqbDptsgTo1SPPVGL8fgeb2ilasGYy8HJ2IBbktgbMEV3no2cg/usKADTPMTTENAtJtAD5gFuwUDsrQga/xgWPDoNg5AG2DnjV3n5YP0tL6M+5BtbW7iZW8ujbYk0/5+9s46O48q2/q+au9ViZrQlk8wMMceQxA7jJJ4wTZgzYeZMkglzMmFwEjt2YmZmkEGymJmau+v7o1qqLnW3rMybeW/mW95eXqtVdYur7j33nH32STK2EuOWZu6Dp84kJEbpQRB6dNqTzC4WRDi5Ic7Og4k2hpnc3MPTPP/DY3z2yC1E1kqFhb879h2/9f9AyfMS3ICHTpNywBQFsbtmXU9sHCgNxBqXyKDxgQeQlHrJE1UZV87EY+WE2RwYHcq2F65WGgrzt0gemfAOTfdvgItWKtttjnFhqdzHzjwpXKRz+rsFbEmZIAhMr5Rq4G0b2MzysTX8Y1YZcR0OYtotRHTaOK2glElHy2mLiAh4HcGgcjooa1XyGFtMvb+jzVFRlKX17u23aSNoXbKk+++o8/qT8uxkRI2KPT8Ukef0N2I1PUK9gs+/Lph6jNcOH27QqkEZgNTdmNvq+e68c/n5rDPxABa9npWzZ7FkeCLN1Ure3I/67ZyXE5xjo3EGfjcGNw/mT0lbWDRoEXaPnu8zvz9plmF/0YLBWyduQu3J67n9TzC0cSgCAnaVPAmO8CkzpBE1zC+dz9SqqVTt8K9coDP+3zkt/quMo1P4v8VhnxpWjzzyCJdccgmPPPIIF198Mddcc00vW0r46CP/NOKeRWCBPheBBVi4cCGPPvoojzzySPBGIkQ0Die8aSiZDUpejscrxugR/EMJP7+6l6ZmqRMTRQdjR/9G3d6LutfnRbZjbs1B8GjQ2iPR2fqm4TH5xPkMbhhCXOz9uFyzmD/vTvR6/+MffduFxt17Kmt+foDwhQD1Cetxalq7M9j0biOzT9zP1rGP9ukcA2Hwofe7f4fZqrj6wf5M2XgXKdUbyB8hG7Sx9UoP40DTUww48zq0CXtZEKHlrCCGEcDGLw6StKOC49fugou/gCl3Q9xAzmA1D1hlAcfLH30Z0VvyQxT0DPaoGewjRhqmdXBH3gYuzvCGgr1h3Y0+hT4/CrURnq4k5CdrA4d/raM9XHqPcjAtjt7PO+NvAyB+xOfknX89eRdcByo4PO0sas5S4zGKVP/dSfXfnXgMIjvvOp1L7lZTEgfVkbAnR7oGl0Ygzhx4VDNoRAYY3Kwc5SbcKl2jVRf8HnZhzKFIzl6v5LtpPIG7/En7Y0hsMHDGJn+tJ1EjHSvSEcmMyhkgQE20HadWRN2yh9EnqhlfWEmIw0WYLfBMX9dQhcrmz+kCQKXC0EMWwKmW73VFROACzEbrZuz6ekQChxwBKu6+l8o77lQs27+mgn4dAklu/3sxd5J0/QXG4DyxDJXSwLR6Cf8uH96PNbUfHQNG4dZosJpM/Dx1HKuGy5PIkkz/LMw5FYFD6/E1NcTXBg+zTaqdxFW/XwXesLvWR/+sXSNNYjar5P5lvFZOlNF79Oh7mdAJokC8JR6tO/j7Fm2LxujyDyVPqJlAuFPysFea5VBai75FUWLI4DEQbY9WSHp0H///TgPylHF0Cn2DbwmWqKiobtezIAgUFRWxa9eu/zHpugvr1q3rc9thw4Z1n0cwqNwGtK5QdM5wBFE5E1F5dBg6E5ly8OS6Mzt+LVH83VhwJkZrEjF1E4hoHkJ4iyyO1mCq4ONRDwbcz6DaSUw6fjVZWRdz+uy3uz1w3fut7GDVJ5Ihet6+4LPJ+Pjfu5W4e2Jv2FGORx0MuK43DN/7KhqnchAbt/URhu99VWH0uLZ9haepEbXHycDWtUy+dhymzhpUbgc5JT8qtvecUYJohOwpfw94zG2dsscnp9LGzt/aWfZDAWKXaJ1W6niLfpY9Mk6f2fryyla+vGgtwhW/QLbsSVO8Eq+PoO3v5xGesYnY/O8AD81qf6+XUwjsteycLhtNAwxuLoh0oPFO0YUxKiJz5He2/zk3EXH+d3jmWKl5SZ7xq99dyPPaVbg0AvdcpeHW66XvRUAkOhizGhiy6BjXxdo5J8LJEe+4HN9ycmL0wNK+J46k1Bs5fXs8YRb5vqqjk8nPXsh8+4juZWE9OHXZVTZEZBqKxaQcJJMqKhm1bTu6+mo8AZIfAFyhkQgeNyIiO0Kkd9buYxxtyfZPtwcoy3TRFllAQ8Im6hPWI3qlCERE6hPWU5+wnkN5l9HmVcX3eDw47C42/1AYNLPT5PVOrg/dzXn9lUaViMjn+vUc1ihVpjvMkiL9rgzJsHLrjX5EdHtCOm6jOeAxg8Hc1s6FX33N1LXrGLZnb69tBR+vqslH/2xdgvRehoUFTmTZ4MikoexGxCA0hOy2bCbVTuKssrPQu/wncOH2cKZWT2Ve+TzOLT5XYeB0hRwDqf1vTvAXXdY45XvWVU2gs6PvfM9/Nf6/0zk6hX89CgoK+PpruUjkVVdd1f1779693aGxoUOHKjLU+oqeOlN9qX92yy23+Il5BoMvDyimzr/ydGh7P3Lb/QfKsDQ5rVSjCWfn0pI+HQ9ged772LQdWDXtGF2BQwRGo/9sq9LmYPET8vVH2OP82nThscxfmfPE2+CjvqPFydYheynpKKMupJqBAa63N4S1FTNu26NsnPR89zKTrQGTTeLzROV20HTUTNPmOpo2S140V00N7PqY8wz30FGjJ35eO1u8kT3fEB9InZ5viGJLh4s6l0iDy0OMRp6rDUo5n9VrID//XWJjei/0evugR3hXYyYycwqkjoMnA3gamov53TKOxDkfAxCd9xuvuGSvnNthQq2zEKkK4t0A+undHLeruS7Wy0Mzu7it3IRjWB20yO1UAYwugMqObwF54JpaNRVrv5WcHeHA0GOa6naoUOuUg8rkUBdvTTPyxGduYtst1Eb8scH2j+KszsHQVI8uQ/Z4qFChc+twqCUP0c03SkPIsx+5sEYNpD1UPqezFv+E0ZuVdnRoj5R+twt8DKCO3OF8wGqKIw8zunMwpXHZpDdLGlEWtRacDtD27kVtiN9EdO0E2iLlSUFpZjJDCsDZ3MKXNy+mPTQNt9ranb0aVT8aQW1ggKDGqBKw7q+nUtXEGQMXoI+IBa9yiMfRwUehWwPW1dsyYTznffc9jaHS92zJCmzM2eP/GH1j9E45w9bc2ckF3kK9+4YO5Vhu/27PKcDnLwp8eEYsq/MaGNwsU0kGt0i/za7A74rRW2ex4+iToOokNPeJ7nUqj4qhTbK+0fDG4SwbOp/IGolzGOYIY0qNUr5jSvUU1iVJBtkPmf4lnHzhxE1EWw4WcwUiboxeY0rEQ1PMTqITQwmL+L9LlDrlOTqFk8LXMAIl98iXM/TPGEag9EqdrARIF0JCQvy8RYPPDJx1ZW7vnSAaDB63PFOaNHEzAyb6hxyCoUMv8Zp+GhQ4hRwCe7v+/HXfSO+H4zaBIDI+I5VsSrqXp1KFxd4CgEXbt8wiX3Te/xG7RtwVcF30gHY6qoJoxvxyKyqNCG4B0WdMD536rKJZe4IyjFWmkcIFHrcTl7aNmoEf0h4rz3L3779WWh+AC9OFDeZBPLrhXqqrfwCNDu4qRJx4K+J9FbhFgQm217jE9RTfGZUE3xCNHAJS64IbRV24Kc5Ovx5ZYypE2sqfDrKFEqV22WvZJdZ3cZS/YXRieQoHPupPIDSkixwOUHDXFy5D37PlgiEvbDT2bW9i3/sp7uYStiVs4liYxAuaVz7Pr/19f9ZwYugQSjIzupdtmDzJr10XzMf2BgyzmeskEvWUo1u6lw0+ugdTRWGfzrsxfjNOnUwY7wyTwmP7pi+gPTQNEVEh69EUu4NRGoE8o5p0vYqj6iqW6/aybOt6hjUMY0WYNEGq2flq0ILDbo2GY2Pm/RMqY8ExbdVq4uqUEwvB+3/Yvn3MX6JUzv95wVlEGKZwxqEccLR0L0/vSAfApraxIX6D33FOuKMBePmCoSzM78ePU5aS0Z4BQH6TMmSfbEnGpcvAbpAMplmVs9B5lAZrjL1v1AKATXE7MFlSiakbT1irnLXm1Lbh0dior6//Py0If8o4OoU/jK4X1uU6ORl3zpw5LFq0qNc2L/tU5+4p4hlMUyoQR+fmNmX3tHTweN6essCvXW/QhjSgC5OIgR2VwxG9FerVagPHd9b1tmk3lg+QNXBajPI2K3M+VbR784Y1ir8dNhcLtvSNb1UeIQssnqX6iev4HLP2KG+kHqLOKQ0Ol6wN3rHE1e0ivsZfALPgoA2rSfZWZRZLhNa8C6uIG9pOVP/g51e2JoaWEyEU/xZPzqg49iauIitMWWqnLk+uLbaj+iuMFun5OgUtRdNuoTVlPVXD/Q1Kl03uqr6eOV+xbgCHOIvFHC6QQpDvNcMY/WzW7pjNyuwspulLGewSubif8n77ov7AwqDrfHFTnFIxOUQFE0P7lnKcrncDIiEqkUvaRtGmbQ3Yrq00lGD50g8l2Tg2PplIn1ImgyrqiW2TnostIY3oALSfTkOQbzXIZCTEh7fiaa/G3GTnQLTkkVGLgUmyn2V8r/AKNkdHd/9Oa2hF2yh/2wKgbfHPLoxVWXhapeQfTd26HLXNgrlgJ+aCnaisfeckAvw262k2T7iH+oT1NCT4GwhlJjlD7Jha5sLs3LmTI1RR3+9rtub7G6uxXvXzqIYG9iVr6BgwivY/WJLIVHQQXb2SiBxXWUFMg7/6uC9CLBZyC+Q+wOUNM+tC8klwS4ZGUmVl9/Owq+3Umfz7L7XgIUVv55wRKbx60XCiI0LJbMskrT2N7HZ/Ac8xJw5j1l6Bzuxft64LKR0yJ0sQBeKscai9/WhGq7zPRp+Ufp09CoeuGREPFrP8/Psyxvy7cMo4OoU/jNdek4ixK1euPElLGDNmDBkZGZx77rndyxYsWECSSVmHqMtjZLXKMearr76aM8888w+d27bMgWjtEZjbcqgOj+P2n1qCtm2M8Q/fZc55iNghsjvY2pTR/dtl79sspjxM6mAd5mkgiJREHqDZUEu/ADpHToe7+9p/eCmwtH/AY/gYR39OiCOeej5JOYjVW6l+WutoztyuHPhERKpDT/D2+Ft5fMGnNOb6k7n1eg8mr/KtwdZIZukyVFpPN38nYsFsv23i7rsXl13uSpwdKsQIG4ey/AupunUdiIjsafmGvG2rMVolD9t+T+9eLs8wmfD//oKLFOtmIpedcbk6eaiwktGuX/E469CktKIV3IS3DMKcdCDo/u1tgb2C2zt7z5ZZFBO43lowPJJo46lkK8PzV5Gc7f/+la5K6v5d/Jt/mjzA0PxVhNocjD9ewbTDpaQ3tjG6uIZ5+4o457c15B1Telk+nlfKt9MrA6psa4Jw1nStsiHjrNzF0ILea5SdDKIgoK+rQFdfiemEVMJE2xr4mcfpAnuJujwn+to/VqGgJXqfnwisLwo0lRxWSzyinvwYoyOc8rgNdPZQph66dy/pJdIg3hQTg0fv9dapT85UMRUdJOT4fkwlBagdNnTNMtla3d6Cpb2O4/EnT7EfdhJPfVVyMtWNkmenMFy6p+4e5PVz9QeYKezvToIpKCggyhHF6IbRAfc5ovwYZ+3fxJkHtgRcDzC2fiwaL4cptyWXyTWTGVM/hjliHDOOBNaya4neS2vUAdoiChg5RpLqSUlJCTgJ/t/CKePoFHqFb/HWLrS1tWG1Wtm61b+qti/y8vJQeePiAwfKZOXU1FScJ+LAJ3PG4c00OnRIrv2UnJxMTk7fQmJVx5sx2TzsSetPRHM+RksSE47YMNsDz4zbw44Rl+DvAlapXejD5Zlc2er7qDpyLc8dkWc5Uy/N5cY3p5F7/rUB9+1SSQN+W/g5ACzPfZ+vhz0TkD80+6tdJK7dx4vFNTSWByfZXvS0TIp9e9xtuNSye+C4XsfQzDSFF+D2HZLhM2XDnSRWbyG+djvvjL+NnwbLuitfpsvZX11oqnPh0EkDQUaxVIg0ZWYjpZ0RuEUBob+yQLBhyBCiFy3C0S4bEaKg4u7OPxOtCUwyfi/7VR4YvxaAvKNfAJA89aWg115YupfiRMkoK0lIxqXRcIvawoBjexndYGMcMrlz6/6bGCdu5FzkULA2b3nQfQO8fSKNjsphimX73j+N3e8O4Ium3jvnbL18jSvaAg+MeyzyvYnUyM9oeJx/BlJbeQit5ggAWktCuaXl79zI+4o2TR2RLL/iNFr6x/Dz6cOo7+FcDbHLJPDGMMl4G1LsYePQRj6eW8rHc0spiZcGwy9mKuvUdSHioFxFwF27nzve+JKzNwqct6uOXFskjyz1NyZzeyi3X2mb3v3b49Wu0jdUo7Z7J0B9KL4bctzfAFA5+qbT9UewWSuFDFsEf6/U7l1nY/cRpNQ4neQdOaoogdIbTM2yqrYoihgsnahcDtReD5jgdqOvLUdXV4mpohBB9FAUH8mKoVrKo4y06wUeuKE/Gwf/MYmT1LIyblvxGUtTlnUvKw71788B1h0s4Ojy3/j9d38F+n8Gk2qkkGq/Nqlwc5IlidzK6XSGH2H6gdv92ru0Ut/nMDTiUEtGc7NThcP1rylt9M/glHF0CkHR1tbGJ598EnDdu+8GLp/Qhdtvv52LLpJn+Gq1mltuuYUrr7ySmBjJKPHNHGttbUUURUV5kC69n5Oh4kgTP760h+t+U4YpJh0L3nl5wpu46po/kzRalrlvOFMqo6EzK13abftHY35V1mFprOzAbu1k/weBeSFdKsuiyty1AAQRo9OfmH3e5g4GlNpoejdwvTqA2Pq9REaE8d2QF/hq6NOcrCJouMuMbcc7AGjcNgYc/ZzqUH9xuTZ94Jm7SyOd94phUuf9dtU4rkmIY1hWKkc64nCGyc8k9vbbcJw4TunKWJrMcMH9Gi68T+pWfLk0+nUy0bPO6zZ3aMBkle61PixwuQOA+1bcyqYvJSPKGZnKO9stzPzuOOduXMWbu5XP2N6ygb/wimLZuLgGBE3gd+GzRh1HtA307Aq1pumoRLhvwB109JH2sLxVy0cN0kzd7ZQH09VBjKZAeG7R07x72V18cOEtTO5XT2NkAq2CMvHAJUL+2BXory3m+yF7uekm5f4NLjdjCyvZPqCJX8dL9/WuHzzc942b3IZUEGDtyAY+nleKxQifzyrjcLoy/Nnzq3Pv2MnFG5yoj69h2OK3STyh9N5E2CMUROApzgGoEDCOlcrNVEb7h0cmxi0gxjoUwRlc6E/lkg298sQMHBodKrcLU/FhTEUHMVQFHuybPX+cd3VCVYtLOPlgHOUtS1IdHlh7qAuT1m9g6OafGb5HnkQ6VA7SLP7fr66pFn2jUmbESRoHUpP4x2mJ9GvL5Zcx/n1heklJ0OPnecNuLh+Dr00bOAS8fdkSvtwa2Bu0JmF1wOWK7Z1Ksnmot69T+aiXVjidOPUtRJplxfD6kHJcGuWkcPduycO7r6oTTx85qP8OnDKOTiEoTpwIrvXRs3hvl97R8OHDuf/++wMWmY2KiiItLQ27VeoojRY5hPDZu9/S2X7ytM38/HxuuOEGQJqFVRW2ULBF6lTMNuWHpHYGSdcN1/HAgw+AqpOwzBXknn8tuedfS6Zd2s9nLOr1HPavKWXjF58gulWg+pSwDP+0VIBr1y9R/K1zGwK2O2+rheTm4CNwbP0erFu3ool30WKSvA39KgNcm9eQXFjrb7S9O8Pfy+dUyyGhgUb/opg7+zn4dWg2TrWH6hjJuHj610fZkCzropRfeRVF86Tq2U9epAxBhaikc+yozSPDLneeLm/or8MAGtfJidCXpdZ2V3EfkXslI5pdRCS5mJN2Hh0xJ08CONRuInGUbOT/3HA1e354kdvLjeyyaPCopetpLR0DQNOxGQgq6f0d9U0UA7Y9TpPr5Ea6G4GDHVqe2xvB9Z53cDkNdLqh3Nn3blb0qpA3RcYxUC8Zkdl1FWxYf2l3m9Ro2ZA8zSwN0G/OV/H7cLn4SXSnjcOZ7bjV8PTHLnROFa9l3UeD5dJu5XVBFBhdN5oFFecQq0lD4+USpjYqDSWAipuVtb7CezhYZlQpMwrT3FLGoCZxKNfeHcPns9o5ltJOWZyFtmQT87NuJiUklxcFHXVVbZgLdtITQg8P0VcLrmbJ6VJ4VW2zoHbY0LY2Utmj3UZnJkscA+kNF3z1NYMPKMOsq3V9k75ote9g3WCBz6b03l+FNleRV2Zla78OCiIK2Be1D4fGQWSHhVkHlH3r2MLAHjyAtFojRkcrxfH+IdyxWwMXzgYI8YbKwiySLmRT4rNsH/IYNs3JNbJ88cCXFvYmZQVdX5CQToE+id1OWVNL59Gh8qjQiIEnBqPrpLBdq6EeuyGwsn2EYMWg/b8TgTyVyn8KQdHXemaTJ09GEARyc3P7pJa9d4U0czB1pmIJlQaATls7f3vmHbrKGV122WXd7e+++27WrVvH5MmTu0vBtDVYWfzyHtqblB2jNohBBHDOXSM4vrOOCedKpMDSMsm70lVcMcotDQph1ZG0mFREWALPIl3W9ZQdlrgztsYGbI0NbB62l8nlV7E5Y3F3O53TzDkHn+NozBKGVU4PuK9gGLf1IdpD0xEFNfF1O3FWV/P4hMe5doUUyrvqNzcJLbDoDv9PeHjHFODkcggIUBS9h/j2DB4Y+DuX7ZqlWN1oqgSSKEqWR8I9ua04tB5GayDUO7Z06dxUxCoNiC7jKKbimGL5xdF2jtsN1EaIRHW4MUT5eLWcgBbcBy5FPUQqHRKqdZLSJuBB4k0dm/3nk1+bD3KMTvSh8uCrOjoKvQtEr3/kzAPz2ZRnYNLOy2krG4OldiCCShpAQjRR0BHF2LXvcHymHEY1NQ3AEiULmO72hs4m74smoyaEmOZ7uTl/BobONX+4FhWAdl8TgsvDiOYjjCk4AqiocAik6JTv99mRTtZ1aFmbr2JtPngEN3N2i/hWxrhlwmOIbi9nxgJnG15hZeeNDGweSJpXANCgy2FIfTkqawcxfZikqEUYXuShOjGce2qvZxM9JlKCB0TpebVoWgDYnN9EriWD1aYC9tr+xmPF9wFQYkwny1LidwxTmX/h0REl/h6hvKKDrJt9MRM7Wvm5NpxKTzggUNigJidGOemIqjAyZfuXCMDAQ4ex6/Qczw3sAQ6E1vASVp5mB9SATSHhEFK4X1FT7urbNLzzmotvpqgBSbcsuTOZvcOHMft35WQkqrP3EN0POdIE7KexAjP2iZi9zXt7tfReqkK4BUoyrsGtlYyXY/Gp5FcGn/j2RLJhCP2OF1KXEEVce4tiXWlUPOtyh6OKsnFgt5sRWtnIG1Z8Baj8DW2AtM40drADwdWK2hW4MHdML7Ia/xs45Tk6haDoK98nkF5PMNScaGWnV0xR8Hn9PBobTr0cFvvtxTJ+f/8g+9dUoFXpmTdvnqJG3vJ3D/oZRoCiNEhPJOZEMOWi/mi8s5HS0rcV69U6yb077LCOSKsHq9a/6xlQ8ClNuhI2mWr5ZF4ZH88rRaUbwLGko3w45l4K4mUvUmTjCOLaDUwuPo9Qh0SwLEg5+axt5K7nMdmaiK/fQ0LdTgSg6sEHGZ80nmvSLuaSNW6yasFkh+xqf2PwttxXu3+bpj3MGzeOVay318m8oRX9PuYfIx6jQ+egQ9eiaOdSO/l4XilbBzcplh/KauetfOnZPX+uigvv11AXoNRcl3Gk6gDRoXQ1PJxkI/wBJxV3a8iYKaf7t775Z7b88hjhZVMV7auv8OAxqf6wYQSg1yjDHzmValSomVB8NsMrZpHamsf6QUY6nWV0Vg9F9GZqxbTJnbPKoyNjsxwajD98BQkHriW84jSu9vyDl0xfEecYQkaNZIQMLg4jsnE9i5alc/GKNEp8iNaB8HjJo1wqSGFd9Yl21DVWGsRw7Dvkb+KHlsA6P133GeDD06V3u8WHPyy6ld/njzulASvPJ30a4GB+PvFtFtR9DGXc942Hd4/cwwCbv9rzdVnSvarXKL/Ho6YSAE4YKngO6fu1qqXzCzm2V9HWHpLNlKN1JDW38+VZkrZaXlXgCcv2rEGsCImlQozA4LaT37qf4fXbMPQwAt6IzEXvkDwwAjAiSL3IvIICUsr9id+JGbuYEerk7AgHl6QMJtqyB01rIyHH9jIyxN+Ye/ls5RC7LmkdWzOUWWMTjlf02X7+x3Q1V92q5rPp8n6nrvbPwoxwdVDl5XRfs9zN8GIzIRbpGyyPjO/j0WCoK4OI4Vdyq3oW7tgJOFU9rqcrO08lICKwziF7mDKDGEa+sAhFHE8OrP690tEPq/sU5+gU/gPhWxS2C4FUsLtUqk+GpupOvn++h1JrAMn4LhzfWceGr4/xwV0b/PSP6sv+WMXmkXPS/ZZpNEomqy5U4r9c+MBMbnxrOgMGRfPEhcqskcTabbx30Y1s7y+74I/2G+O9FPkc3Rr/wTBlSBQbBhrZn96LmJ3HTWhHRcBVlh07mLM/nIVbpeOYpj/CTUsCD2TfTZTuqysijvXh8j0f356Po3Ea9tq50gJBPu+V/T4Ofl49UJYFVW86UA2TOq8uMUAJ0v7OOiCtU3WC6LQQdeIMv/2oMpWzw+rECURak7rLnnTBnXWEmhf/GBH3s0b/++xbaDa/Zipjy6VzuuL794is/pa8o3Kh29HFNYg+ok1qe7jid3j1BBIO/5mJFVae+Xofc1oyutfrnWomHMny/hZoKQxn7zsD2P9BLieWp9BcJBv6RcuuIL0pk+QGJwPqjqIplAaVz9wzqBFlQcsKa+D3ZlyIP5/n7wt9Jzb+3bxvlfQuNEVH4+pRgPulu4N7VQ7ln8dyo3QdZlEKGReGFfJbym/U6Zq4Ob+OK/r9Nej2W5DO2+0NJarcLkwnDmGoa2XU1lLOXfcLZls7w8rqePatV9FWS+9KV8hTAVHkYHY/HGNiuabsI05rkgpfa9uausNz2zLycKi1vDTiQsWmw3b7G0hD9+1nzDal9zWkvZlQvY0zwp2cFupiNNuJjK7BWFVMREoz4nkWEuskDtQyLwn6aKr/vT8YLSWdTD1cypiiKiK8sgyzDhQzsriaWQeVPCp3jy5SVAksHS0vbFG5CC3Yib66pHvZAcd24lqkNjnV8MybL/DCa88AUBkRg6fdRlhj4InkEFca9ZnzuNo2g9EuOfX+ocN2+jmV741FrzS8m8W+k8ZVoorV0QkkdLYEXF/hiUD1T3hd/1U4ZRydQlAEqnEWqIZaXwvFVhe2+C0LbT25S9vjFnnzhjWc2FdPdVFrn4UifZGS56+m7XIFntlotREAzL8+n/KJQ7qTX7OLpLIYMZXXKdpf9svDir9tpvHMO6T0cEQnm4mIM3H1ijZ2ZevYmR04C2ra+ltRectmTHvzCyyhkgEnINC+ciXut97obqsOSyZvwt/5esdDfhykb6aoWTZS4K9pbyiWH6uTsr4cTadhb5imWFcTVsyxGCnl+dORDwU8vy48kCgNOJf0ENW5NsbGq6lWztrtRvD2m6oOAUFnRuMIMKgFQaJWha49cCp7X7G/3Z/jVbPzioBtk1r0hDjUJNTI3KxV867hSLhs9GmcYUQXnk3oz1q2HpJCsqLo4Ybly5gZmsLAIiXhPrXG30vocaloKw3FZZX362yfxNhCB1euamfApjDGWTXoQvfyTcZBcvTyQDm7fC772qSbesJHOsF3/BA80ntwKKUk4HV24bSa0wIut/qU/3jjyjfYLcohz4Pp8pE6dXruzhrH67SxWV1Oh9cLVBRaRIc386jI+Wiv5yBopO+v1Chz2NR2K6GeM8kuUXLk3s0+g5s2S8fQmv21y/ReA2hkqX842Vx0EPORXXS43YhGFeeeWEGDyUB5ZCgi0P+YMuw7d6lUbkTrchHnrWk2+MABlqat4t16PbdXmFjbruGZGgO1uyXj1YCL6Nc0jD2+lR8yfsCiPXlIyOR0EeNTHkPr8RDfZkHbw1siSPFJQAqnTzok4vGxGoripb5N29KAxVGJofIEA0vD2NBfSZIeUFoEosiFK5dw8dKfmLvid05fpszk1Ihqxrr6cX9BYImKmc4h3b8PueXsW0+0HlEt0CkG94y3egx8bBvV/ffZJWeTJQY+jlsUSMzqRO35Y5pW/0qcMo5OISi6OEe+YbPYWGVphilTlPLxvcHarhxIx5yZidrlb1hF1473Wwaw7K0D/PDCLgr7KMbYhbSBUaTkyR4gURQ5cPAvQdtrtfIgrtWpiYktZvram0gvD6zrtGmg3FHVp35Ce8yNZDYp0/bNUXq2batCJcKC7RaWjQqhPErZMWQUL+nOdFs6YRoIAtffIRte7jZ/b5mgUhNmTuSpT93ENysNpI9mqzloUmrGlDjk++CoPx1PD0Xb1f0+5+3xt2LRndwl3hMqRAYapY59oduFbWSX50iFoDUSVhX4uXah6Ncnu3+XOTyk7Xigz8eOK7iUtsPKQfOssr4LgMY6khlY2YhK9CCK0nv6zpQp/Gl8CL5c7JgTCwhdLlCYkMqo00NprNpE2IHf2VtygCPNm5Q7FYN37HX7onHbVTQdU5ZHGOTQM8Wm5dby8UxqzGe4ID9zvUdPx/4FfNCg45162biOtMhp9aJKYMuou4j3qhx3wZkjG27qALWuunAkTwq1rZv0EnnFAgYxjLcuGsF3kwz8Y056N0/rq3ypmvsFhn0c1h7rttAc6uCZZz1h7udVFhcEXpt9J2r9CHShl/jV9gN4bNuHJLRIfBZBFU1jZDL1UfE4vORiozctftqWwLINgiiy8PcvueXw3zmcHsn2fskcSItjWz8zAhBfLZHcQ47tVUgFTNy4iYkbNpJXcIQ2sw6X90IXt+io8yF2tR0PRX9chb5cxciQk/Mub7gpONF44/inFH+rRAGdS4WjZRSn7xa5+Rc3F1dOoWa4UoFcAFytJ9C2SWFwq97fUFl106Vcu/ir7r8jWltJqpB5QpfYg6uad8MFU9au4/FvX8dklZ+VY2Q0zgA05vWOTMJqJvO7bQggYPUhaY+zyOOJyy2LhjaIIXx7IhG1+n+mr/U/wSnj6BSCwuOtZG6zyZ2FSqXinHMk/Z4JEyYwfXrficbbfla6iyPiTagCZDOoepl9APz+wSG/ZbuzlCEHU7iOG/4+lRv+PpUzbxnWvdzlaqe4+DXq6n4Nun9BUHZcbftlzZxAw8r3E30+IyHwJ1W6r46kimNENh/hzN/v48z1K5i09VVFm9TK9d2/X7r0agDK45MQvf9af5QLuqoT/AUcX3/75DnnhpTP8ZjUeIzSNXaeCFwqpCf6lZ28jleM2sezMMOngKlTMoDVLjNxDwcPKTo7ZC5ElcOD2mUia/0Lfu2MTXlUblN65iLKZ2CwyIVpD7dLx2w6Lr+fpauDF/GtjxuB1mXBpVLTHCp5nJKapLDPuNmhtIgiJ+xu3A4r7aYQXr9wEcOLbGwKGceG0bdRGtUv6L4DX6uWA58MpG6vMsQjAAsitCyI0BJnUxrYalGFx6NldMHl2EWBLR3SM5yYVMZt1nHytURFonFL99laeQEAf8u6o3t9lKA0PjbHyTy5guwMVk95DbfGgEqEGZUziaIf7pQFDKq+kPkLnmX+Wc/xfco8RmnK6Il2c2DxQIDLSgNPSM7u0HHPDhGtaSoqTQJD978RsN3YnZIxJQgCH55/LZ+cdxM6b6r/kKO7ufvt4CG8YGgyxfPr0GxSD++V1LfdLtbnpfHr0Gx+HZrNvpRokisrUXs8OH24a8OOhbPoVzlUn9QsG7H3hAQuY+SLxjCBRy+R+4oL7tdw6V1qvjzjHhz6CLQhyhItke1aVKFdWYaQu3IftQ3H+LVHzbrkBmWY63ic0mOuCuB1n7B5M1m17cxwDEHXhxytq10zyIiRJsXJK2QJEjFSOr9it/KYJzzRfGVspNN7uUYhsOr1Op/torwkbSFIf/q/gVPG0SkERJdhBP71zvLz83n00UeZPVtWS6442syWHwtx95FAlz4kGo1WpdA6AoiqG/OHz1UElo1QzjBCowyo1CpUaukVP7ShkgNrK9i77yqKS/zFD3vDeJ80244A3HOrXjIKYltEBE+P6xdFkivWMmLvq4zc+wrD972O3tHKHV9+SHZVGaN2PovBWk9VpBqNS/Y0ZIZ4D+RNzxd6UDZ1OcrMsi5cvbx3A0kTVohjcgKOKQnddK8RjWeicsPow5H0C81GI2i4co/So5RZbeLClSn0K/efyZm8hOC7YuRrd4fLBnVjnkwA1zRA85danq1WhrxOLH9M8XeXdqfWFouxSTkT32d38FLiNxw9eAZOj4oDjXEIqEhrGI3TKRkFxUcmgShQt+diytbewYllT2BtUIZwxR6mrtUYw1ezzyCqQ1q+YLv0PPKL7axrdXHA6uGXToEdY55n3N59zNmwFo+7Gav1O+yt7/jdl2Bwezle+rCr/NYN6FlozQeX2iczwzGEs63jeb7kdsZr5GeR0V/Wovku/zkqI6RQkeiWjNpImrl14rs4hkQyRqs0aorbxlFhknhuJeGFoJK/SbXPEKE1lTBCW4VHpWaoporBmgAiltGLAp77lKbTeMsS7+epRBTJcSn7gPB2ZfmQnjgcr8ZQt01R62zcnvW9bHFyHE2KCUiKrg8LwaXyfybDCiMUf2c2yMT5v619ir7gcLqKRy5Vc8fV0vU7tQKNpkq2py6lIs6NJvrm7rYDikM5Y49U+mR3ejwlsRFURgUuaO2L44knV9peNmEq6bosMj2Bi1y3L74Wd6uSnK7LkTyeqY3Kd+CuFiM3WGS9q8X2QYBAnf7kHqByTwTf2IbS4sjjeo9kHDkdp2qrncJ/GI4cOXLyRj746ZU97P6tjK+fCJxCXlsih2kyh8Yw/8Z8wuNMqHoULlR7AmsBBYMH+HKKGY9a2bXNvlqujO2wuVj7j6Ps3vAVra09COE9MHiQ0nA6WlCAzsfg8+Vd9ET/SpHPHr2DqRs34XFVIYoeDLYmcgu/JaItcOpsWEc5qpJv+IfWwo4EKaSxIzOB6h/lzJcdM2SeTNsCF7WPOLBHKu+Trt8c6br3iAzvUGYh+cLjQ2YVDVKnXFaczGW/pzHymInZn1h4P+FxPNUhxPmoQ1/75JvkT0hiVp2RuB7K148mWsnQudHpAhOms5C9CU/9+SZ2GgdR41J1CyZ+06Tl9YFKD1GLWzbIk3beTXiFHL7dWp6DRxB5K3w191bqWeuWxEbDVRosS/7OI8dT0NsjiGqQZvOWugE4W5WDcmdIKVaTUlvm6ITH+KBHaZLTKuxcs1v2tHR5FSdv/RaXbSPODv/K41rTnID3AeCTOaV8NqeMmNibEFT+3rh+3mfiQaTIHU2jx0SdJ4QBzlR0aMjwxHIMMGatAoMy9BnVKXnObD58F0Elh25TQqrwJJmIVSnDfc6WsXRqpWW5rbn8bJJ4MJ4AM/whmhoEEYZpqvzWAUw76MESquTkmdwhmGsXABo6T9yOpUp6n0dUzObuVhM6eyvT197U/b83hLaVsnhCB6GOtzhtY2D+mC/K4ixUJPSeKXgyVEeEcPHdvQ+VWp8CqYlNvTTsgYI0QSGBsT77a3an/M6yAe9i08jPKaM2hJwK6dutjTi5F9cXVp2OQh9tsi7URMXwzGXn88YFV5Bt9PdEAzhLN/H5nIV0rHnSb50QEssDOz5TLLNrBWI1AlfapnGVbTotAQja+h71M332iN5mo7nFIteEs52qrXYK/2EIpEztq3jti6LdMgeoucbCtl9OIHqU3qa2Bpl4OGxWGoIgEJUYwvhzstFrvQO9T+baFyF9y0z6YHYYRYne+kEJsku4skPevqlK6mRSJr7lt/3gQa9hMMjE37CwIYr1K19QVpV/9ezgXIGSeIHk+lqGH/odR/tXuO27MdgCC5wBNBjCmLvwRR4bfyU4PDwy7mo25GZQH2picpMc6vh4pByy6Tjdgzsefh75DnsscsehG3g2hrE3EjL7Ge6tvBprpTJc0wWPWs7Qc0xJQERkbEUhjZGZFPcby6RjFRQ/+zwA4w/Ks84oQxQhuWvJDtPyULuSK6VTwW0BBOoA1PYwtDaZV7ByzCQ+XnAPAPusGm4rN7G5U4sYQJn4pxYnP7U4cax/mYTDV5K6/X7SNz/OmJLzAUhu6c+Yo9eStkWuUj8mREuIPRq9W4/aLYcmMkp/Y8qGO0mLaMAYU4AltJTOMDnMm6wVmBAmvT87ciSjMFwNLx1yMN6sIdlH1sE3g030+BePVeuVAoS6sEWodAMYn3MZogoQIMnYe1mSC2hjgzOLXxyD+NUxkHvdkuGzBhfX0sljxXP9thnbU5kRcHX058wsKXPKjH95miV26d4Z7TLfY4RZEta0GQMPYhNtvQ8byceV11977CEyvUONaHRCbh2htijGlEsFhPsXfhtwP7uH3sqyfkpDc/Tu55m26X4ABpe6MNscaExOksbXoguT+U5Lx1dTkNbOuuENbM3rg+ZXLziYGodb43PNAfJBfNQUuGDjvyb93Krt4FiqHK7r0EUFOvRJoXc4yKn0D4G+eOcrhOrDeHTFKsVy214pY9NRvB7b/i/5ZP65qBDxWJXZbeZZT1GdNJIpB+W+vTJawy/6XahQISCQHsDE+FPEpZxjH+u3HJWFL5Y/zn2rX6D9p+t5yLgRs/bkmlv/Lpwyjv4/Qp2ljpLWkv/RPtxuN6WlpXz99dd+6/Ly/D0SFUebWf6uUll259ISfvvwEDm/7iZhzV525w/Dfs1ZRLQcx6oVuLGtnvxNBxm66SArcnTsP30BSybM4auEiTxxYRQf5QgssPSt4GBNpGwQ5dTIxsLqL6WwgtPh5vvnd6E2tATc3mzOIzlJNiSM3syZ+vp6Kp57nmmbt3M0IhWrWodNq4zH/2mV0uXbZIbyqFA03mwzl3U9DSZH0A7tT3Me9lvWZlCDIDC07SAq0c0Qy0EcBn+DzGBoo8whsqpN4kE4VS4uGHaAn8Md3OHx4GofiCCK/PVLN/d+6+6uu9YZcb5iP/bTU/j4liv4+IKr+Xzu2fwwbQ6DqhpAFIns0DG4Iolzci/nxcVL4N5EUr8rR4ztexft1svejU0x3utQ6dG13U/7kcc5c5U8kH468iFKIg/y88DXadfLnbnHewdNLbnYWqQMHJVHzZkFNzGsaTAD7Mrnctbhm4mtVSYKvDU0j5D8CxlOIrNd8izZLUgDap5BTbNOMoCWj5RCAMlauXvM0PsOjr0Xm9U62kn3hll0YX+iOLaMJWMPc11/OdwyQK2lQKucFR8wOVne6mR9h5M5hp0sMuwgRdWiuA8PIw0WxZZImm3K7L/TEwPoxYh6wnQdiMCfhS9R+dQzq3CH0yBKXohddlmfRq+S7olT52/4AQxVB6kY357IjmwPx8ZEYW+YCkBnsRQaavM+Q13OSkzty2g3yO6VuPrAWkMFaWo+Om8ln54+WLF89h4XarfIeZtEJhwvZ/CfConLb2LgxUV0WS71kQ62DW7CrRbpMLl579w0fph9TuDz9iJMG41eZSJMG4NepYyfR3s1pjpUi0ix+4dD/6cY3DTYb1lZxCFUHuUk1aILzAlKbVQ+q8y6lu7fHQZ/nt+rd77G0/ts3N84lllqmYTtqj2Is2Qd7T/dgH3f51z86Au89uKjAHSueNBvPwNGX8Nph2QD5ovTQnl22ixGnR7K6/10PBbExIgSzbRr5b5hSdoS4iNlGQ1ED/d8+SmuPijT/7twyjj6/wgzvp3BmYvPpNHae4XzYGhvb+eJJ57go48+6vM2v7y+N+Dyop113P5zCxqXiNFhR21tI//AW7w9N5ytrZ3UOVzUOly8UlrLmnY7FVoDLXlS6OPsKoEQHy/SEpODF8Ot/BThYnem/KEf8NELSmrs4X4t6cTa7uDbZyRlZI3ef9asrgWtkEha2jUMHvw6kydJUvzNzc385eWvWPL7bjYm5XPb1Ft5eMLlXO7DXVa7Rb+q9+OOihxIVcbtXZYVlMb0PYW905udEZ7Rxnvuy5m4o5BZx/YhotRRGhjWAYKLDg+s77SxIO9WbFFbeCfnCcJD1xIZuoe4FsgvERlZKNLliNM4JO7AleLbvCNegbbHQP/m+ZdTHR2LxsudWjPhOd6xzuKbfTEktXvfq3+y19DXSqFaldtNQ20EiDq+TZC9kRZdG8vz3qMqvBBTm+wFWZMvk4kL7dLgnlsvzzx95+lWT2DDbWBaJrr0iX7Lm+KllHGNAC09RD/7+RilMT6eA7GXLDRd2BWM2v0CgyobmLeviJkbHmVlvw+pC/Wfuaf34Nqc59ZjF6HZBebWdIbs289FrbIHsb2HmX3X+idYf0xJ3D0r3IHB+55YyqRBXKNy8QPnM0jcxwM1L9B1xzY7ZUJxu8efv+IwyP1ITEwJQ4ctIym5oLtIaBe+teXjru3kgqWv8stdktSHvWEO7QXP4rFJXtk3saMylGNwbQxw1wLjp8FSiHvJCGWIf/Rxkb+9I70HrdcpBT4HXlLI2uH+2axa6wbaNK/wwvVP8vUZf2b3oLHM2VdE/2rpGkM04cxNuZqF6X9hbspVLEy/BY0g9y/T9sQzqDiT9B0GZq6Ws1bdKpHMOmkf6wbL74/e4f8eju+RhXvprkfQuvUMqB3P8MP+fcSOtGXkVCpDaOsG+Ou1AYRZHUw8JvOCBJ93pTRGqedmGH0dDxUZiA5wjtYd3pqZ3gnelw/dKkkAAHhctC++FrFHNqEuiP3ySZaetYYtjHQV88WyR7lu/0+8WboXR4nED7vQOpkkdQg/ZvyIXW3HGuX/jdidpzhHp/AH0GBtoKxN+SIdapAzuP62+2/8XPQzLbaWP7TfYEVmARYtWtT92+PxUFlZyauvvorH1bsXYeoBeVahcdu57ocP/NqoPCKz99Yx5mgbF65v9yvbcUzrRhTgGE6Wjgrh2wlmDqbpWDpKJvldtdI/9fzDuzfSXC0NZIZIf5Jn/GM6jr70Au2//EqUaxg6nWSc/bhyM1vFLJ4d/Sd+zZCygEonfazYNsk78X3rDRdGu0hEh8ilawK70w8nK/kuokpk31nhGDX+Kcvroqczb18RWZn1dPjIAbRMUmMZ50FbItDUkEx52WBaU1fQFn6EUpNSp6UqdhOz3HZiW+Vnc8G2KZy9/06sYXPQi1ZmsAIzHVzCpwCoRSeZYiFa0c5jj9zIR3Nu4uV594HTA6JIuq0T04zH0OWdhbrRywdoPTmXI3n3bd2/t3bs4a63/8qwxasQvO+NW9AR0xat3KYtBbWzpftv37va5uUinXZCGTbc0O4VFAzyOl5eo/RE2j16vrcP4YBLClcZVAKt3l4+M0ilWSFeysBzWfwVibswfePjGG3KyckZ2wOf1AajMu291qcCudGaTk5hGTNWrebq8t9Qe9x8o/b35HxSMgdHh/x+TQ9z8VCiFXvDacRh5oPZtzAk5hB7GckDPM6AxB2kpUmeXgvyPRFdZvQdcni5Pn6D4jgDBm4gLKyB7OydRCbv7V6+2ZFGmKWNS9Ys6SY0p1VXgtfrFuYRuLvFyOionwjJ/Ds6QSRZKxWCUblambZWJh17DCLOZOkePH5x70NTXKtUmsQ+RHlvdaEubhvTiBqRVJ1bYSQAqB2llKVks3rifFRAjtfDMijC33A+K1p+x8xWFaMLPJxZu0zRpimyhJRmaR9Lxsjn/OxHbpIbRBKao7huy6tcuf055vWXn5PKoyLUEcWiHU8z5cSFzNm8LuB1Hsrom6SG1u0hzCq/T5E+tILyaKXhZdvxDh57O666w7jbe4ROXb3TGQrDkrD0oK4Pay+gf0VwCYcnl/ydSHsHC09sIHPP59j3fo67rYqEFjfzOsfhETwMKvGQV+W/D3fIH+NX/Stxyjj6L8S0b6Yx/8f53R6ix7Y8xkVL5Rn4j4U/8uDGB5n3w7xguwiIhobg/JiE+Dj4dCG8P5PNG9bx3nvv0dqonEHr7C1+240/qjQAztjoX+H5rp+PkdW6mRHVa+hfrZwJ6sMrFAqxgsXFkVQdP44349T00eUquEgc8zEA1sZMyjfcTNwj0kBn++57qu69j8LpM7AdldJS2z78pntThzqwrECpZihzF75IsTGXT1528+7rbsJ6CY93ddH7RkdS/YaT2Dn1vDH9Pr92J0KkAWp9zYUUFMhCfY0LtaAB+xcZHDo8nZKS4TgcIdiNdVRGFCj20apvRevR8vCX8mA7d8sawuwS9+cl5JTqbAoJFVv5lIt4knv5mEt4WPMgY5xr0Ba0YlhdTfr6I7xZdQx1aCLaQbNwZklX03JiMtU7LlccO2nPLRha5XIShlYpXHMabXwVPodlcadz2CyT5adZtUwrVoYpwgpHc9rOLxTLVrc52dzhoj0IncPhDRt2Rb9y9Spifd6P8B6OxVhnLu2iAUutm0kbbsdZsYMPvV7JCIfIGJN/13iWHdaNCsHj8i8roTFMZMLxWlSiP4E0rV45QJ9RNYb2xdfy4LrnFctbethkTq00MJy7awVvrn6JT9yB+W7/qLha8XeIGhz1c3lyoqSIHGlo4wnkdy09Yx9arTwIaiO2Ei+6CO308Ur4eCnzByi9PdkDZePw0tI1PLzvc8X6i1b8gjtZIuJe1ybxCY/EbyFK7eH5FCt3J9gYaPCgantHYbw03OOk/kEXm+90czBDef9XDvP/1junBuf2PJFs5c54OzNClc8jquavCB4Py29dpFieGarkGgJoQ09u/F+x2kOo91Y2+Tjfkpvg5ffcLDzyCAICOrcB89H1PJVk4fJoO1fueA4Ataghjg1ogzhIdg5o5qgP76gLITo3Q69WfvcCMLWglBHFNcS1K/vdowlRVEbKhkbnsjuxbn4V0f7H9MxKwhO5X6u874kp+dzy9XssWPc7ly5bzJobLiasQzpnjS1wCNqy+lE6Vz7EIU07KcdzeeRLD4/9Q3kTHrxcjb7jFOfoFPqI/fX7u38fbzlOp7OT7459F7Btu7OdNkffXn63242IyPqE9Xyf+T1uwfdFFdGveRROrIGKHbSteRWAkHa5s3ZpOhm941HqwpQdeEql/4zoiiXy+RpsbtoivR+5IOIRnLjU8oetj1JqI2kPSqRAodmO0CLPNPZl+MfVE8d8QN4F15B3/g3y8SKk+lmaeqmzNdtlY6x4wUIshYW8OvSC7mU2tQ7BWzjTF2L1LMKcrTw0QVYMd6R6GHZdAalT/DN5CuMi2JsaR+yfA9cR8sXchS/6LasoHcSS5EvYNEkp0uYSXKxL8r/HTXqZ06EKTQKNnsqIZhaJ7xGJTKw8xGCuxp+ofmHuYqIjpVn/PTv2U5sscXjq+8tctBFiIq3Fk9F1SINIZMkcQutH8PDOGwFwWmLwOEN5HVu3ynhRiLK69wiHhmiLsvDkduNY1HjILF7SvazdA/W9eCm7U/8FgTSdQJ5RzQSzxM/YPdA/A/ICMZYwwcbLG95A53Zg2/keLZ1lqN0uQlyQqAtsiDx9NHDJBUv4ICIs/qFbkLIYu2C0i1z+iRQqCzlJ+LvLOAJI6wgufLqxPMFvWZQPpycQjGOKGKozoAnbiz7hZyJtsQiimlBjG5OnfMbkKZ8hmfQewmOV36DNKlkBIe2ZjN61k4xaZdZfYUoGnnAdsV67RPQaQA8nyQbZHJOTtBqlN9frxCMj201P1vO7c9XU9og8tV0QPOTSZdueEeH0W7f6pku79ZEAvp7mb+x2IUrnf2+7kN2WxYYJz9ASJr3TnQbYM+Qq9gz9CyICreFKDaKQHyIIUcNwg4jGJ0s3b+MSRbuRx30I/wJEWRvQhF2iaOMOCad6hzypMNukvtDkcJHQ1omnR0JNUXwk+9LiEU3RCHr5Rno65P7Isjm4xIkItBl0iMYO+lV+xcEmpbjsoMKN3PbVR1z9s9Q/fPXgX5i4dwfnLl4cdJ8AlZVf8epv/u/qDTepOZ4s4Owb9fTfglPG0X8Zblx1Y/dvp9tJk7X3TnBJkfThWa1WVq5cSV1d4E62oKAAm9pGvVEiWy72qS5/GlsRtss6LqmOUozVpQzftROntpX6hPU0x+zi+3PO4Z254fw2TE7fDFQnbNHS7zHapBlBqFU5C2mM30Jz7E7camn9yw1KUTlVqxNsbvTbG9BvqweHtH2+URoAq9PlgTA8Q1mCAEBQSx2qVR9FYdYCrAalDkjJmWcp/j4RkYw+VllB21Z9NleVfMcVFV9gcFvxIODRizTcL40G0QNa6dm5H0+MRhPECzVZe4KpWmVn4+pRc662PnAR4GpTdcDlx0OlMKs6uj8hMx7FNPk+jiTDLJQKwrGuTkaxI+A+KsdIRk9N2jRMg36gfORztKTKnr+QhqFk6VVkbn6a3N8/Ju7YRbzssPKJO5bc3z/m7o0P80bLP/iaIC53n1vk6pS8TYIocvGRFVgN0aSX/aZoHtV0mORKZbinC05R1uMablKSVk8LcvgbxE40yfL79c6zD3L14q+xeMSgJWr2NvqH1Kx6E68tUJY6KU2VdagSfeypqfvl/ao9/gO3LxxaZUjBGOQ+ntNuoGLjjYplL0x5tNd954hFzKoTMCZ9hSB4cCIiqJwMG/1Td5vIyCpycvwzvTo6pG9G5dbi0vjr1/zl20/wxBu5uknyGnQGIHanhXjICG7vYQjgFP7LjYHJyCeDzql8lusHKXfeEunvNerCYP2goOsq0xfi1IWxe8SddJoSUIsGmqNH0ByZR0NMPlaDMpx+IvMM7C6o2X1p97LsM+7BOUKawE447EHvELl2mbJP3JInsDlnHYJGnkTYmjtoKxvHL7OvZtSJasJsynfDkD0LS54cOdCrTIyInkXY7Gcwz/XKZmhD0GVMBsBRtAp3nTKxxhfFsRFszE3FaXQR52igoehrRJd0TF8DqwtGh50n33k56P66MNO8kJAZj6EKV5Y6aQyTnpFaDO4d/HfjlHH0XwK7286c7+fQapc7mlZHK4223mefz2x/huUly/ntt9/YuHEj7733HgCiy4OjqkMaBCxNDP5uIn9SfxhwH9NQGhm/F6Wgaalnb5KNluh93cu9eovs6Kfj+9EtCB437WZ50LDrdJSlpiICd30unceiFcpZaRc2DO7gw4QaWo21oFLGwWP2ygaXpt1JfLOLqDbJ6KnBxQsRVl6IsOLy+M/+28pHALB7xB2Upc1m/xDloCKIIrlN0ow2yVbFX4rfIqdT1hzqPHEbgiUOtd6FLsxBjKOeMy68DXuPDC5HWC3VUUrXdlm4vwcjK7yYbHUj4YLSfezog1KtiMj2uCC6UuZm6sLBMPJKANThyUzdv9mv3XjNCr9lXViyuoylI57ENOUFOrKXYonu6cYXGGJU3uO5bnlGnIaavbljFKUrfGESoU7fyKfDnsRtycZUm8Mtn6dz+ZHfMNqkUh6+GLr/TZKrAnMzAHD7u/DVwPSGwB6GM8nEOPoahar5RSuXYHF7uqUsjtjcdIiyEVPaKXP75u4rYvaBEyydeQliD6HAYzkLsOnkScIHex+j/+FM/ryy7539wcHXdpfrAIhU+YcYBjrUZLvUdFQNp7mo76V8HCXDEACdW3oncw2H0RhbFG0GD1lNYpJ/pfm4+GJAxKNyUjJmAqJa+e6LCIwuKMWliwBgc4akBXWkhwSA6M1/F1UiHzyqvC/Pplh5NdVCpFq5fPV0EY9RxJEuL3d44OW9BhLuDDz5eHubg+wq+RzrvY4TTeIwzPNfY/We6wJuB5AYM0ohwKpCTWKWmmHXFZB3wTWY4g8DsG3MQ8w5InuRDwy+lsokpZe3JaI/K1fraT0hPyetqRntHum+3PqThw/+5iayE678XSTLloIgClzaeQlX2sYTqc9QkMQB2sNTuOyptzj3mTdRhaWASoM6uh+GwefxZ/sQcsNGc2HmvZyZegP9wkbIG2r0qEJlRXp1dHCF980JgziSpOQFhjgt2HZ7xwvVP2e0AqhCpFC/JnF4975U4akIosC168dgMEf80/v+n+KUcfRfgs2Vm6nsULqv99btpcl2csWxu9fdTUlJCQBOp9TRN35eQN1re2j95QRHv5RSNK9PUNZNOxp+lJ5wifLH6TYGVj09Z81y/v7Cg+Qd/Zj+hVIIrS0slMXnnM2WiRP45qILGVR6nM8evh0dEQH3YdPqaRY7Ccl+mZCsVxXrOlrlj/GKtRVc+3sbzZWdeFw1tJeswuxqZ3zTVk5U+Wd2VO+Qyk7Y9ZJUfWdIol+bo1HSdudWS7PoafsiGXo8nLgmPR5nJNGJHzDoskIGXlxERuLXmLNeZ/UYZWjo99Os/DZOmfIsqP0HxsvTJc+eXlAO4LYAZVV64li4kohtcppI8SHV3nyjBpVJ9ozN2+vP9+oNrdNu586cUtLi/QUsBY//+YmiyAAfYykJgcPDRuLOkowjlQgTbBoSvem5FhV8N/gNLMZ69LEr+fjDI0ysCCyWGd5ahICIzidMPHT/37t/Zxf9iKDxNz6Tg6XS+ECffzGqiIzuv/M75IFUa2rgK+N6PtdLGTYhmojudQKg8Yi0hMnLAJwaIy+cHcWih2WNrNBlD/LkT/6GxslQmiZ7oE7XHEGNh0QEXnaFMMqjYb5F/h6LCkcE2kVAaAzSJCurYQRi6PNUp0xAF9p7yLe9RQ4xTZ7yOYnJhwm5bCn1i5T3vTRtNnP2ywbxCe8Eqqc3yDpK+h623ulhblxgsb9HkmzcHmfj4kg78RoPeec5KX/CScO9cvtX6gzUhgqorIGfddvFbv7yi/x95XrnVsaxNyJo/d+Znhgbe0b37/Mz7yJ+luxhSTvtFVKnvAJAcpvSwGgLV4aQAc5b6+8B1jq7VPBB572sBa6L+XvxA7xy/C/Ma5nMIGs2s+ImMStJ4vhpTZLqfEyrG6dWx5Q2EyHTH8Z85hvo8s7s3vewaKl8jrqHASPowxDU8rW7m0uCXv8T4/7st6wmyoDolIx1lSk6qIEkmKLRDViIoA8wQfIp06QKk7zUhqGXEjLtIRaV/YnG1NSAenv/WzhlHP2XwC36z36/Pvo1v5XIoYcxCWPYdsk2tl2yjUWDFina+r5kX7/1NPYjUpy9Y3MVFWWSp6RVLb+sBpeBrLYswIXHZ+a0p3Nh929Lhiy+14WLtq/kiqXSTLEx1s5vp8/GodWybJ6SHL525gwMbgfuABlbABn1ezEkScRolbaFcH05WsHfM7DdOztfbbDgaP+CMS27+HP554xq3YNlnTJgHfm2BtEVuDN0qaW2zXoplDG1QemhGH48gnlbE8CjY/b2OFQaaQD985hybomzMXymkj8x2Cg9r++nVhCb38iw6woYcKH/wB8TLoXFdCgHB3sA46hV28oPGT9QGCqF4A5GyZ20ANyojcbS4342+PClmv7yr1ObjSj1L1/SsyN7BBM/bJB4OKJexTCHmok2LZd1yM9ApZON+6oAlQ4OuEpp1bcxbN/rAGh90ojNHRVklCwlvnYHaUGKAsdplF2cJwABVZd5GiFT5SK3XTXVAMrVUpJCrajG5XGiVUnGyIBW+VrbzNI7c/Ndj1GcksqxpCzUHju10crJRiAYrUE0g7w4kSUXzx146DCnaYt4Rwihw1jAHP1Rpoeq0Wst1Cesx2psZMvmC4Lua/OmCyk8LpXnCU3ZyxMXRLJhzA00RCZisoskjX+793P9TTkZShwuTXxcIyXy7boRY7znrAxNaxB5NdVChr5HuZYRHqredJCe2Xu6drrew1izm/sTJQ+ytofocrtbwN5lBAdxzKU4EtB7eT6Dy4Jz1y7PeIzLMx7jmjy5jmG6WdLi0qtM3fwpX4QkHCbvgmvQBNFS88WeYbcp/q4KYtDpMiXvUq5bqS0XpotGpzJg1Ulnsi9L6rf+WiCFuARBhSY2uEJ+9znPeBzTRPlcHEekiWBTDyNme1weUdYWv+0teh0ei5zAIxgipO0j+iOExKGOyes+jj53Hua5L/ntw+TzzWmTRiAYo9B65TYusEhZwm537+/GvxOnjKP/Emyt9ufPAPxaLBdQ/eD0DzBpTZi0JsYmKhVIm5qlQWg4B7mw9jmSDReClybbz4egC5IHYn75fLSiFtDwG1LW1AH6s9Pd+4cXYe1A8GbsHBo8mJbISLaOHxew7arZsxQlHPRWyc0rIrI26XvUBinN1Owwc7ZQwzkG/9Ifx3UeVhscTKgO0LF3wPFmOXPKuD/w6y4isH6yFB9v04WAKDKk/XDAtjM7viDcrgwlZen9e+SFkU50gsjCFAvJ4yVyhS5U8tp5nALNRVIn1NQoeXo0gshMreyp2+5KQxRh4gY5U2hzwmZEQWRfzD7Cm1vIrZCv5/4EC8kpR0k3KEMLj6dI98VpaMSVIHfsZeXBeRZ9QWmbv0JzIKRZRKbVuSBcTZy79+7mniv9w6A/nTmI1xZmdPNzBERG7nqBWsMe9I42skp+ZVDBxwHrYgGYrbI3RHTZsW569aTnPLBKNsAKVdI7uNyRy/elL9PikJ5lWPY8rAYDTRHhrLz5T/x8x9Ucycgis6KcQWWHWHab/2w7EMZuf4KQTpnAH1O/h9E7ngafkGJTpPTNDT50iERVG2bRwwl1LRXqJvbqj+KJkI1ul8ufwepx6jkkDsbt1hEeId+PM1jc/dtk96DW9i5umbLVX4em+xiCmhUT/MN6bsHNBVGBuVLO9H9G79kfd38qG7MJdwcOrZlmPsbXBx/htP0e0JrQDTgrYLurVp/D31+tpEnnX1DbqDLSGXMg6HnEDf8q6LpAGHzofQ7+GoBxrAlQwNEHmaH5bM76lSaz9D2ZnX/8Pgoq5bcm2iUDN8quzIwbU3eEl7cE5g6JnbJhrx8sicu2haZjnvUkpkl3oI7KQfDhWaqjcxABTdIIQua+iLoHz8h8urIaQZwn/JRxdAq9w+F28PVRf8VqX8zNkAer3bt3U7ruccV6l+AihxIWIHNMUgwLELCRJhymXRCIbxIx2kXmVigHvm0M55A6mu+ZT214Ox71SUI+ajWtPqqs1UnBU2K1Tq9Amegh5XgVgtPAD5k/kNGewdnFZxNuDyfBKrnzjaIWLf4k1l2G4B/QG1uUac7JFWvwOMvxOCsQPZJb+JeJj/NChJW5C1+k3hzCX0qCz6AH1LcRkd23DMDnU6yMDPE/N5VWxNogeU+SU44QHS0NOinqNtJVkhHbLJpQVzlZNljNquifWZLyi8IrNGvFCo6mSAPovHAHcVqpRu0VqUoOV01IKR0x+6kcpsxEeRklATxjs3/tpN7weXK83zLR48Ky4QVs+5Rp+OeUOzkvZh35NpHY+r2o3F3PsAdPSytwwf0ainwShMQw6T165+yLAWg2h3Hu7Q9xItF/UOlc6a84Hh4uh00tW/+Op80/QaAL+kHnYppyHyFOSaLimKoaBDjhisLpVppferWJTfMvIKpFCk+FWjtZefOfFG3MnYGz1wAEoxTWVYluxux4unt5/qH3Ce2sJK5ud/eyvUNl6YWimBQKPW3orXFE146nstNElboJRBVqlzSoVmyU65N1VA/i+M8v8U2DlNlUWjK0e93FfI7RK2h54Zje65SVbRtKVUwKht2BzdCzn/+QgbW1NEYpS4eURO4npUfqt3mZNOx4+q6N2isGlAt884yLp89XBQ2tNacvR6+N5KblGkLnv4o+9wzF+vMnmhg9K4QR+yUP5ceP381yn3JEZ+tnMY0htKQqS234wtoQmLeTX7yYCLXgN9iGtRWzaJX/xEplDlwAtnu7iFROxFfy5jzpBt53uG+llv4oWo061uWmUhYti0hOPSx7yNeMvbX7tzZpOJqkEbQbZJa9buBCxf60Y29A0JowjrkelV4pTBkIZzlGYa3/A4Xq/sU4ZRz9F2BjpVJn5Iez/ItdhunDqKioYP369ezc9SwJCUW8mmpBLUqP+Ez1Yi7jR7/tkg3nAVB3zMzr77j54NXAhsa3blnPRvQaR4Jd+ijVnUpjYe3kSawbruwkg6J1L7qGKkKP7aFOu4dii+RJGtkwEhUqplcpZ3DzTDtAZUMXswJB13tIAsDothH2kaZb18hlWYuj41scHd9gb30Lc8V3fJC3kZEdG0i2VlIXd/IYd/q0wBliAB1V/oUWA8FllTvegYPWMXX1GsZv2kxOuWTczKxfja7lCBVR7SzcmMSMHZGK7X+YdW33b0uPgfvFShuZOuk5PpFspXLEy9jDeopgChRYpXfj7Xo9+o4UlrUGnnV3YZkoGc0P8Vx3qQ1fuOuP4G48jrN4rWL5+EY3V+yfzbT1tzHk0HtM3XAbiC5CY5WZc4giT37iojpK2rcHGLdrDQl1FXw7Yx7PXn49193/NIl6LR1G//vs6ahBdAcPHYpew6hjxV+x7ngP0aNsq+t3OuqoLGJsknfF7i0tEu00cfYJ5TVpVToWOgN7RLvQpRYdCJtGyJ5dAZGRu19k2D7ZgA2xBH7HJh/K4HhbKGGteahELUZrEogQWzuJqIbRGDuT6agahrUxE7dTT9WW6xDdemYWSMaW1aq0SHI5wu2icsYeskKF9QM5Db21NZZSez6bJk+iaJ9S5bkLb4VcTENIHXvyr+9e1mSsYUXuxxzr4WkVe6H5HD0ykYaG1OANfM9zjYqYZ+TvaOY+pbFt3CYPb/W5X2MNL0QfwGP09/ivKDarmbVd2c9uMsoedV3SCHSpY7FE+vMwu6DS+Bspc2NsZA4/n9NCNUw0K++D1hlEaV3ofVjOUuWAAIbONYQ6RebUBH7nXfTN62Ld+X7A5QdS4+g06KgPk8OpRqd8LKFjvaK9OiqHCYNkw1wT01+xXqsLpXPQ7D6dUxd04YF5rf8b+Odp5qfwvwarS85SeWzCY/SL9J+hROgieP/99zGbGxkxbCcRLU46TBoMHg2dagehKmXerEcAq0GNyeqmpdSEY5cU5tEEidn7QtRowWFD1Eu9nL62DEd0Iq5wKaOhMyISIiL9tlOrHWg0Tux2IyZTGxZLOKK9BH2H7M4fUlXMrmHyNipUJPsoKEd6tFzW8hOHTMcozF4FhX9i0THlR+oLg6qB8sIMcpvLWDYkC1GlHNRX9avjup1dnVrwVNYuBCJV++JHtZs/9dpCgsum7CijGurQekAf5cDgtjKg4yioYOxhiYgT16IcUb4dIXdoGYXpaJKKcCVLg4NmnIdbsXNXeWD3/Ot1ktfl3QY9WgEc3vpN8/b9lSeyXuLN+isozPoOk5cP9XWTjh2damoTz+B7zSVYBRPpPV4Ud3s17hbZABPdToVLPdJjU5Q9Nee8CLoWxT4GlEP/KuhfJeIBfhs2gMk7VjF5xypeuP5Jfhsvi2KmlQd+DkIvXk3R4eU/ddbh6qzDptZiHLHIr12EWbrnNkHycGW1peG2/Y7bJ7PeoDYjBuBinAy33fZXxlYdQ6USuPLR5/nwUakI7+JJw8kpK2aidzzel6nBd269eurf/XfmhdFHJ8rcLhk1pavvRVC5cIsCjQnBv4+7edpvWchGNeH15bQej+HAiEFUJsgk/xPZ2YjlLaSk+oedzxvzC415W6j//Qk0lgr2pL0MCMT2eFdU7YEnINu3nY3dbqauLhOdzsrYcd8Hv+YtKsK/VT7rjIY0oJTI9zRYxrkJ/0aNdax87LKxTxKaPpqk/coBeknkeuAaLl+qPF5s5Q5AOTkTAxhAXVDrlSGpZK2AziVzeKI0KvAxWIJJORiGXhJwuS/eL3yU+9Jf5bPC0QHX/xC1ivfiv8fsNvHqwefp9Igc6qxjkKaS/uGjutsVl20kpsI/43V90hA6jP58UN8nZ/Op+wegy5l50vNOyPhjwsQG0/+dcXTKc/RfAKfPRzQ4RipQqBGUHcNnuz8DQKuzMuxgGyP2tzFlaxMpLmlAaFYrH/XBvFC2jo7kSD8zNVsi/tD52GOTEX1i1oLbjaHavzxHT0yY+DVjxv7AgAEbGDnqFyZP+Zyosf6dTZRNycyNcSk1ZDRxWUw6IGmInFkTmIjbhYUVa3lr5FyWD832M4wAUtv/mEKsOSkwgRzA5RAw6wIP2vW18kz8u3Xx9EzC+Nt50oLdcTlcVhGYu3D+6mQCFK9HX3xPt2Hki7nh/p3vMZuKIu9MXkTAIQrEuCRDtr8tnc8Ov0Zo/UiGb3uG52oMfNSgY0unBhcCKo+FeG99tUqjfAHV1lIsqx7BUSBr5Nhr9uMLZ9mm7t+tJhB6GEYAaXXyNXwyaBqiGLwkwd7+smfyiodf5KtzrsI8/2/cPrx3voYvXGVbsB9b5rdcHSqF4tSiGrXLiErU4DbLzz3XE4++9hiWjS/0+VhdeOm1p3l32tkAOHR6brv9Ie689UE+PvN8fj5D9s4m15ax36d2YG/oMogUENWIbj2Ncf5cRYul95BGl0BqeFsbk9ZuIa5W6aEtLh4ZdNvosAY8iWuYsvUFnvrUTWaTh0HGHmG1FYGHHbu9y/oUcDhM7Ni+kJaWeHbtOoPaYwNIuFNL0o06km7UEfmZvxF8IN2BQxOCcY+K6Le0AUNs7Qk78KiVfY7OKz+R3NBjAtm5FACHqYaGrMW4NbKnJ/aYP/G9p3GUb/L33NTFSOft6vAnKHfvJ0LOsq3QSV7MYwZl/5rsjONP9WcSDO/FS4Zeh9rCToubApsHlTqG/c3KRJMnQyP8tt2TNIpnxlyBXRv4+4vyqlZ7VCpWV38RsM0fwc6G5QGX76hfhqD6vzNRThlH/wXw1TbqFyF5jdbMV4rhTa2eCoBK5SaqRR4UI7wFRFtUKlyijlavDG19rOQ9qExQeiR8lVU3x/nr4gB4TGY6cod3/y243QiiB5UtuOHgm0YSEysTOzMGKYtKetQaplVP62U/ErqG0ei2kw8gc+qDG1BR7cG37zS46NQrXdaqXjxHfz00iR2WwJ6LSfseInzp/ex9ZwBOqwZbs/K4s5P0FLzgZqb5A4weGxqTE3WPY4fYNFyxPJ1BJ5SDm8YQ2MCbEebvbv+qyf96Q92BQ4FiZywZlbPItklhDpW7mWcOvUx6iwuXSmDiTDMzp4Vg/s3f++Dc8Q4VVmkQcgP2g992rzue5D9oPfehi6tWyPd25Mj9fm0AwjraiGxrIdTSybnP/J2zXnyPssRk3pk1k9FnxLEhru/OcNNpD6Drd3rQ9XFiGLGp++h/7g2K5f2KT2Db+T6iNbBadm9Qe7/HPak5mBx29vUfyO68wczYvonnnr29u93ogv38NPZ/NmuuiAscmrPZgterCpAQyrQ1a3GolANlEI1MAAZOlMvv3DpUaYhEvaFh3Vil5EBraxxFRbLBFdqSi8GSgNCYy4H9s7F0RnKsZlRQPtHBdGm5wWFF51KGqmLfSfZr79K3KP7+/AULgkf5XbtiRc4c1kRr4mbKRj9NY85i6nK/Aq92Wmj1WGKPXkho9TgifpQmc+Hp2+l/7Eumr72JBRFadII/L25ghPR+pjecQAiJU6SzA2yYpDSarsl+jM/bl3Br5nM8mPq6Yt3MVmXSzVPJ77Er5DB3pSv34fHpewXDOL4pfp6l5e/ybcmL9HNt44V5afw6NJu6UKkfaMi5kAsqv0PvVPYVXYVtIzvlZ1pvC64u3lc02OSEhF/K3+Lr4uf4vuQVjnYeDCrG+r+BU8bRfwF21kiV5c/vfz6CIGBpc/CPB5WuUKNbmjHre6RyR3jZ/i1qNT83PcLnDW/xfIxc5Xxtu3IwcejkD6LG1KMoYRAI3swaQ1VgQUeAjIy9Qde5QuXBvrP/sD4d0x0Shsb179PAaDM5+WViNUsn1NBpbODr6RXURtowxUkdQ3uN0qis2BhPfd15NJZfzCuHzmRbg5wlp3JIg1yCNheAgvR27K3KjjOmfxvhIW4mT6pFG+Jk8J8KGbIosC7O6CORxDgjubh+LlGuEPqddVefr6vJh58U4XX5dxk/PfHGiYepirmAIoPUAYY3vMpEWxPfb7Py8dZO7GqB7KKD9CRWd8FSvZ+PMnV82fiNYnmgpLXMHhI78UuUHXPyuhou3tLMT3dfxw/33sBXf72F7++/ibwSJbE8wi4PBG0OWSD190r/osqCPhShF37HVs1x+vXbhkotG5kzw+cTMvNxdAPPDrrdmS++F3QdgMrjYVvWYI7HpzK48Ajnr1zKXz96w69ddOsfN758oVcFfn/KSvODbhP7ZGDe2eEIH22fklJC35TeaadTz+5O/yxDT4iIx6R8LxJv0lLTmUltWn88Hvm+7993OlWVsifQYIsntK0/5vYcNM6TFx7d1l96pycealEsv+sqNcaGdLSdyuSB4kn+NQ37lyg9bK3nu3Ali9QMeRe3Xpp8tCVvAJXUn7p2/ERU6VySDlyPc6B8jqq/ru6VMzSxwY1JBQkTBmCe9SShC96iMkWeDMYYZc/nXekvkVIvsmDVzyR0JrDbrBRhVfUYvreZD/DXtDc4ZCpSLF+d+7H8h6BHRKTD1YxHdJPZ0cCgSumZ78xKZGf/qeyP+jvxDn8+5+aB0qS7OUTZ9zk8vWc59oYVlZ/Q6qxnc/X3/ND+OxZXG66QcJyig62D6+h0nMpWO4VesLZiLQDfHpNm33UlSk/BIkMoen0HOp2FMTYlF6DLc3TQlU+1U+qArKUSd8Mpwk8tys7QZpBefMGjRhRELviq9yw5gJg2C8lN7agc/h+JoaKIkML9xEUWBdhSgjtV8maJQROy/WFN689pe2NoDZE+2A35DRSNlwfKmpjgpOmf4+exZVDvyuKb8hux6T2EuJP4dlonVoObZeNriR8ubReaYEPldehVb4+l4VAUCAKutmEcrJzF59tu4G9rb+B4Yy6pu2Xj5YtZZRh0YezNbWfvu3k4O5RGgMboZtBl8nWoevA1jGozC9Ju5rPCp7i84UyeDfXPGusdAiOrIll85FU+KnycmDaBO6svD9gyRNTySsmFimUtTolwG+0tZnbeKv+wVBcS979P/nePsWCD7LkTgT3ZJ3/OVkHpAbihejm3VvrXm3j+DamAZ2xTI4vf/5GVa+XtVlV/ztfFz/FD6as0O/wNfV+BzEDQI30bbod8vtFRUlhb338umqSRoNJKHgAfdPSoJK6OH8zOAbJ0wqxtstf39Zce48bvlYVbu/Dd/TcxbO9rTF97E9PX3kRomzK04rZvCrgdwEczAquSA7S3x1J4eKrfctNaFZrGwM8m60R5t8bP+K1bCTvkJOEuLVu3nM+3zf7eyJoXnNS8qAzrCqLAiWxvHbLOiIDHia5VktxFH69HU6TMY9yfqWNPlsArC1VEdPob549eoqIsTgBRJHPTM37rt9gk8rX9yC8AXLVYMk5FQaRzghv74N49Fq4TsjEV23C9Yp17rvIafnF9rPh7VpiWaJWsX9Vv2LkA1MSNZkyIPFmt0NVy8xLJOFA7LQx2BvckXpX9CE6VbMSPP3APcU16Fv2ajr7FR1+tl1A1QJ2xnAHF/sau4PGgd0jnltKkDB/uafT3zG+rX9rrcRptVXxf8gptoZfw2p8f5On5c3j6nLNZNnEUms5WBMCu86BRnTKOTqEPuKC/FOf2eKQP9/x993JZlJ2hMbXkD/2dseO+Z1iLUoskwi11Lqui5FlogluaFey1qBl7VNkJ/DZ3DgCiys3VaybQodeibZbaJ6p2ENujCGViaTGjiqvRuaTQmrHMV7VZJD6ngtCYFvShwYmMMYmSW7VjQHAuQyCk1pkw2KVXuCHcQYW6PwcGuukMqeLKVRbiW/1Tqcs8gyk1pVMdEnzwAKiNkgy9KIu/gnb3eT+vpWVZJHX7ojiU3sKETjkU9MGKZ3jumw+I234bhjbZi3TWlkl8UvQkf1ZdgyMvE625984qfkSD4u/5KddhUEudZEP2D1hiTk4i78Ihb3bavZ82Iu7+Etdvj3P90t47nzCX8rk5RMk4SLSJvLtkN+MO7e11+/7lyvfll7ECq4dJ56F1iYw87uHt1/3Df60mpWettaWQ0sPBC2Ne9fPXpKQqCaEOj3TuTu/Mti8OeusuuYROTJfqb3ngUJ1xzHWYptwj6brMeBSAqtT+XL3hZ7ZOl4in2qzpmMbfQmg/mR9y36dvM3/jKpLqT16EOKpFzo4avft5xm99iCEH32Hk7heZtSU436MipvfMw4ZWpUCltkwg/LvAxXYBRh63sy5xHdEN8vuosghoOpOx9eHGRr0l3UOVtz8qPiF96xXlsscorHkQKlFpaIU3y0bl6hnTqYmPZ8PkSRSMPZutk2eyZYAKUeUfvqqIkYw81eDzEVARtVepwVSk1dK++FocXuNo9HHpIuoed9J62R8bkPWdSqmShtmyHpt15/tMXeJPTzB2yOrZao10zfWRyuO2ajoI8wYCFmxs5qC2k5pAReeAGq00afv8RT2Ze1/gsMspidYCo4/IkwC17uQCkYEgqlSonFJfmNzcTmSnnCRU0qHsg5p/uYGSjoP8VvkRNdYSlpa/S5NdOTnZ1fg7Vn0Cz5wfhV1vpCY2gZEHtzJ3087uNsl1Bjziv0649o/ilHH0X4A4kzQzXZAjzTaaqqXZcXJUOaNC3AgCGAydDDjaHnQfNm0H6shC8i64hpwzJLey1Slw549SZ+XQavnmvAWKbWZvXU95dBj6mlJCj+8iZ9IR8gZsRKuVB8zk2gZUQPSgFgA0nW2EHJfKBUREVJM2pox+Z/VO1o6IqGZ0We+eHMHj8Qvbtfcfht4ldeg6wcyIxhFkiGM5a6fUyQwr9fc0XH9AIg3bdMpZbW1kYONtQo3MrVL5DK9xj2pRN8PAXzqZsb+UPQPaGRGRTgICuU4nscmjCF34LmPUSoLwVbGSXk9/Wzp/sim9MoEQP1xS19aMMWDWRHSXAbCGnaAx++eTbg/wfr2OByuNvN/gHURED87STagM4UzID54FBbDX/gl3Vy4KuK7f0j9GSH5n4YV8Pt1nABbh3u88RAWQAwrtUUizNcRJXLW/5okmeTRbl9aRGED8MLG5nZxaeZv6AUpD137QPxvKVSEX4U1WG0je8gDZBx+RjhVAkK6LPKsOTcI87xUYfSEDHfHMCluIed7L6IdIz3iETWmM3/WP95m9NXgWWTAYbU3ENuwnvE36FkbtkjxnMfV7+cckN0XxGlYMNaL2iIR7JA6J0KPGYKemk69SlDP7mBc1CB554D3cI9I6okikUd9AStEexfKfcj/sk8fXcEAaamoTJE9na2sCWzZfQHGxzD/S26Ws1Caj7PVVe+Tn6tZoWDdtKlXJEo8oyh7FkMYhVGXJ32gX2o3QvzEfvdc7GFt3JZEfyPdh9Ny3WH/zMCxRKn4dms2vQ7P5bXAm7mi/XQXEhgnPcqRcNgrU9fJQ6tZJ/bC7rQqXNxPs7OG98TFB0JkZkSH3v25vVluY1xE69YCI2i1y1yB/g3qf6RgewcO5++/iutP+QqmqibOrlXIva9XHEUUPgioUXdgNfvvoCyx6LVffouHX064lryp4f931nbQ46lhX8zUdrmZWVH3Cj6V/Y9RsM7+2OrEYz+Vvlys16KZtVnqhB5SHYbUEkTv4X8Ap4+g/HIsLF1NnkQZ5k9aE2+lh208naDcXkTHBR59CFEmq9Q9rOXwI1lHTnsctwuo2DRUOgWS5Zixrpk9D9KlNpXZJFrvZ5pBqSGllY8LXOFJ5w3ahPu5Pwas1YzT1nglma5c6vra2WJpjlTNZlbUTfVWJvMDjRtvaiKnIZ5bik7Y9/aA841x8ztl4BAF1DzLflCOSV03jceEIVXpkiqdWYRwsffD1EfJ9XJMnc0HG1kkVrD0IFOszugtSrhomMrYjn9OdUXxHKB9oozEMvZS+QN/mX/8tEAYP38P81OsQETk6exFl45Qin8Zjp5G27a8AaDsTyNgok6RbPQKdHsFvEDNOuE2hlPtt44PUNZbSXCXP3oo0tRQ5W7r/dp9EO6VwYRSORH8ZB4Cfx8rPY1yBh3+8GHxfLm92pUslvV/hnVo8AcZg4+hr0GiMTEz1zx4aXlZH/xrZY7pTZ8JXEqq69je+jl5Om1q2zgSfYrFpnbmY2/ujN6YwIW4hMfSuWijoQsj1pDLFNdD7t7m7pIrK5D/q1gQqL6LSokkNrCUUCGHtZUxfexP5h97jgydvYcko2Jpn5P7DdmxenSaNQ0ngX57qnx0k+PD37FoVj16m4apblUbV7Ys97E5rUSwbVCIZAsVeD64nwCevqfS56T79kaTm7f9Qvxn2LC2GOjx42Jz+I3pr8DIs/dv641H7e8lElcDf6pThrp4SAjkDt9PypI1h1xWQNq0SdUTfvBROWxhOXSiFobndy6Kazle0cZhq8PiUY/r0kdsoPv5l0H2a572MwSgb7xf1lyQedD6fyENfuqlVuxl1utLQ/iFKCmtFt8WR7Crj8gp/j+K4hl+wt7zKCxFWHEFKNvUF2RURNEYYqIgKJa2+maXjJK9/jVUy1lsPSxO25Cb/ibrDYwNBwOO0IagMfsWahUClWXSBk0X+N3DKOPoPx0ObHur+fdF3l9JYX4OgayVKraFq61Xd6zSuwL7twXZpoBc8IptLtGzrVPNzq47XqyIY971sULREKge0qMJDHEmM6s5eU+vlr3TkqF+YNFmSDghra0N9SyvtE53dGkDX5GxBlbqZnJwd9IbWsghAMqKO5uYq1oWUFKBtk2cnXQaX2qH08Ihe8uPoQuWrXJSdjQiEWqXrT25qw2yXDLxBYUdBgM9OL+ObaRV8OqeE6+Ps5E6sY9/cUpaOl13AJTq5463IkfRBOgjloetkUvsb513OcPFGIvnj2UUJh+QyE25n7zNwp76JmsHvBlxX1HgMY2sOd615hkWb7mdVdSzlBXOxHUqh3OH/masi0hE0yhDG6RvqMW54Cs12+RjjXP1BlLf/LnoFbjys1qyg3ccp9tSfb2Lh8+9w3azX0VX7E4k9Gh1L7/+Ge79xk1ovcsdi/6y/VqMOi1bDzyMTKIyXZvxOn3TiE7ERgFQ0k9DABlgX1h7wz6ADOJAmc7RuuFnDx3E/87buA36v/JhGWxXuxMBlVVJDcjkt56aA6/oK34KgAJfU/kPxt3H8rZjP+BvGkX0rPRIIeSUSv2RITRV2QfpmcjSBB5jfvAWcIz5VGkFPXSmFXtpNAo0+9KnxR0Tm7VQ+t3u/k/5+vU7P7lVnEfuefwgy9tnAYclstyyF/iebFPb6fsiLAHwz9Fk+Gn0f+5PWotf4e4B9EW+NV3i6OgyQbFfywHa1trMjJXjduaj+bQy8JDgv0hfPNjl4e/ytbEtehts7AYuoUOohFU+6D21IvKLUW2xx30PgHWopbFXhY1MPLAe3JoGI1kY63HIGs8MjcOmuR9hgggnN23rdr0p083OKvxhwXzG0KJwmYzX70428N99BfZSTpeNr+MrxKbeFPUhVwxJEwKEJblrsyKjky8lKXl5Uc2BBX52h79Ic/2qcMo7+g+FwK0MLi3Y+xYEjk0md8C7O1nTaysah3WxGv19A5wycYj7LIn1kT33i5rqXQbVVjc6t44yyM/jhvHP5+qILOZ7jXynaooaytFAa5gtojC50mh7kSgHGN6wguqmJ8jwjrliRiCxp2hiucTIxM3BHU75e7hDV8S0AJCQUMXLuD8QnSNk1IUUH0IU5iMtvICHmMKPH/ICpMXC1dldoBI7IWOwGZVhl96iRrJ4xnTEnqhlYUY9KkD1Fj3/5EQButYg+xMnL6XL8/Io0S6DJLACLwt4EoJ0waqPjOP/pN6iMDkFrOp35Vf9cbNzQnkHS3r/Q+vtkKjcl9Nq2JXU1bUlbAq4bYZbKITQ7Q1B5XNS1r+SVExO4qfIefC/o6Y+l8wyZ+qBie9FpCRocEXzWfBz3M2cMuJkX+v3IVbdpeGue1IW4BRWtoWHkHy8IuA+VS3qXRxaJvPS+v8eo1ahjU/9U1g5MR+OSjczhxbJb/ViiNFJUDJ9N6Izn0EcFT9tXewvUhiTaSDW1dC9fPxCWD8lkTa7sjUg/bKPZUcvK6s9YHl5LQW3v2ln/LAS18h1N/V0ZT1yrT0Xwhk0NY3oPfTSFBfZiabyTiDVamf8WTCnZtkFD0o06TFtl46g0LY34TtnwjOwR8owIEOXQuEQmV01FbQFVD6eEuNeM4HXXHRqkVM2P9pi52jaDq20z0KNluEmNXWPh3ngrHpUbp0aa2OyNCp4FC1LWVkuUbPR+PFPF3VWLFG0eHnU/bY17+CMoW5uIo1N6Hj+1aPmwQcdt5SYavemWO9OW4/DOSVVuPfGHFvntY/lQWYNKtCrDwvajS056Dm/Nk5/N8ZQMckoOcc2Xr9BkldPfZx65mlBHFBHtKwLtQoGxtl84a3/ftN3cgodOkz8PbWvaj/w0pZrqGGmiWh9p57dxtRxNbuaO6zQcTIlVqGr7QnC3snTiaAqTlBOziNbABrBKFZwH9+/GKePoPxg9y4aoNNIA4/FI3gyto43Yzx1Ev61F1ynSfNxExVFlBs7xdDPfPOMix+sMOecHyGlVGkO7R/kToY1hnWSfUUbSuHoyZ1eQfa6/noXmnBpsA2SjLC60HVNaJeUEJjG3FptpOhrBkXYNSxt0xMQow4D9+29Fp+9k5t4CBp5bRPK4OvoN3IXB0Mnwi6TyB3P3KY0uW3IW9oR0do/0v4aG2Fj0LjcZjW18eLr8qrt8vrdHkv25K5/BUAABAABJREFURjGtIt884+KbZ1zc8600sKTr3EQLLQAkU4FGdNIQEcVlT75PxEkKP7qbS3A1BC87EFo3kkFluYS0yCfWvldFwsGrFO2asoJ3poKo5sl+0jWOa96O0bmfC6u+82uXEySJT+hR6lz0yAPquC2BDTKANUNVrBwmUB0rzdRzKk4uBhoIxV6vUE/UhypnjkcSo7h3wk885vkr2kmB1YG31S9B53KjnasidUoTC1PkDM4Qu4bPZ9Xw1jnB0+QPWAIPok7cLNHtYp+6pPeL8eL3yo/5uvg53nWvpMMVnA8IUBMWQmPzWyxvkawPTUI+msThlPRL5sKnXvdrf9GTr3NWAMmAWw9/zre/PKpY1uVBAhRV5W/4tYe2j1rN7pEjyKi38+ErLr54ztWnASLUKkmJaJ1ONNVKE7v+kFxC4uAQpVduu1Ypw5Cg86DXWrB4Lua+SHlwPRx5mCZdM6EtSu+yL9Q+YcE92QKpDmUW5+zCK/twJTL2f5BL09EIDn+ewwM1A9jcqKegTfYiCyLM2BGL3Sl7PMKqJyj30SQJLjaYve+w6MZ2UPom7UeX4igIzBns0jNK0Hg4niJdlwgsGZ3PjE0SV2y3N0PMLbrp8D7G3M5jfvvqiVE1yg7gSFo7gkapBbV4UhW/jqvmsznlROr+gj78ejRGWW4gsamX+i9AebQyjBvmo4sU16i0to3WTvKKjzD3YOAoQ2N771zUfydOGUf/wbh1za2Kvz0miYzn9irJ6hxyh2t4ykRBdCQpufLsxKUWeI+L/fY7oHVAr8dNSTnIgPOLMEZLxktIgjVo26a/yB3voMha3hzs4gMCE43fNbr4aE4Zb7foWGHV8Mlxf4/V2LE/0PQ3OwTQZkyZVI0A5BwPrN8SCEdyc3Gp1dSHyy5qU+8JYry0UfaSjSoUSWwUuT5Wacjdx+Pd/IkIR+8lRWz7/oEmRu7YLRtfon3xtbQvvhZX7SEAQtImMTRFLhuQ8w8N4VWTT3p9XVC59ewJkzqhVJtUn07vkS5U7EHIVU1S8iOkc1TyIawbX+z+nV4avBq7zilSFSVwk1ESnrvpu8/6fM77UuP4dWg2Vq2aqsjA2YMJrZ1Et8vv34m4SBx6ka2DmhBU/uGnE+37Kek4REVyMinhdQgC6NSyoZfYaKAp7pxez0vEQ6ujwW/5cXUVNaoWdmj7Fn5pcdRLYd9B/bBpBNAGDhEci49kd6bkNWxtljhugkqNcewNbI+OoS4qht/HSu9CaXwSr59/OVN3b8UWoOBo3PpaYn5VGuJdZVA01lg2x+zy26YLv51+Oiq3mzkrdmO29a2UEECYBQxuAzqHAwEBfYH0XezccRbHkgewc+RIls47edmI3zPf48GMRrINX5BgrmeCV6bDrrazJnk1Bls8xh6ZYV3oDJPS4VXhKVxaeyUmj3yvN7a7SG+UxHMPftoPW7OOpmNhtJwInrHqcXUNjQJhNXYuXJnC2euTulMez9yYSGq9iQi9HL5TeXS0WeVw0ZFWiYy9PVs+Z2fh71KWnFdN3u6jKl+kL+fZpA/YbS7gzHAH9yXaGGhwc8Vlk1g7fDS5Jw51t7V7LHxd/BzflbzIMqODT81/vPisWxAxuhvRh16INkQuxNsa6qQuygECqAQVgko5cZq1I75vqZ9epDXJnqqsMvndVLtd3PzJM5z52+eYKgr9thNVasI0vWdd/jtxyjj6D0WHQ2lhn1t0EbmzJL0Ol02yzH0LF9a86uSL+Qu7/7Y1azj+j0SufM5fb8LQ4d/xAyQmHmXylM/IzPpj7ucu/Jg6AQGREHPgSsqVTvl1S7AkkFE9NmC7YIjxZsSN2LW794Y+2Dd8GL/On8ekKBfNZnl2KXhEErUevM4gBZqvd+GKkb/+m/a5MPb4UgYgeyOy2wOPItbtb9Ox7E48LUpvirNDVgUX9HJnqvUpm6JynDzWfvT7DFp2Z2KuG05IQz6vbJUuJsahnG252gcT64xkSkUqoQvfJSRmlt++nKVKL6W73SdjKG4w1/8qcveWwbz9lppQi3xvPn/RzeWrPQx+tIUhx5Vq58HgFuBEbDiVUdLgtGZgRtC2aY1tjCiR3J4Z5sHMSLyMSGcYV9YGFmG0u6W4jj3EgAEHJbZQto2IwBQrG1gDj8oz9hFHIwLux6zxX+7wCU9VDXyPDgIPSPvUpXyuXoVHJWCPS0ZVUshiwza0qeNQxw/2ax9uVRrelRZpoKixlmC2dpBRdozl4yROTmxLE3/59lMe+PhN7lW/6rcvEWgNC8Fgl663JryEVqGTUnMpXw98m5rQ4J49h17Hgp9/6Vbx7sLiM/xrOT51ofxBvPChG41bQOeQjHHV59Fs3XI+Vms4okpFUb8cOsICGyLvG1axQVNAubqOfv2UfJkLopzoBPldOx69C40zSOkT3QAqEocRMu1hFtiUHsVGt4goSu+Fy6rhyDfZlK1JpmRFCqWrk7C3KQfgyq1KvtKcbXpUCJjsGsI7pLaBlPWvGHaEF5rkd0Tbi3xJFxxHl9Kx7C4uzrmHmzOfYV24ZLwWe3mC88Md1HUs5KPTg4uOHtI5uaD8zYDrSuN7IV9ri7nuVzfppctR6/qjC/sz/5hVhhggvi6oY5SbugSGH41gxo5YZUmjAEZTYos8Tk3auZq8Y9uJqryV6Lrfgp8bIHjcuBynUvlPoQfaHLK1rXPpWZj/NoW/pLD3nQHU7T1PWu6UPEeiRnoj8yvlOHTxb8oP3Bc2c0zA5Tn9/AsQ/hEM1e/jlVQrI0b82r2sonwgHR2RDCqQr2ewzcXE2ol+Cq99RW+05XiHf+zaajIxypLJp9Pl4+VVwESzEzEi8H7a58udXP9tgY8oeDxcsmYVDxRIg5u7vRrbvi/oXPcMdSkf8f6ENER7O61nu2iJko3Umpdlz5RvHSWdJYHEfTfQ9F02mijJq5a++Qlij/p74va+MwBrg5HynWaS996KIKpJ08aR12NgM7htPFB1BZ8WPsX97ff7X6fXg6VS98h0dMqdqmnCLSzIfIvpETeSPvV1Pvibm6xqkdffUnZcr738WMD75It9AyP4LT+bI0mB38GeEACN95rGxs4nxpDMDWULOb/J38AD0Kkkl7+6uYEPd4zhHPtTrCxNwBDlIz9R3xXmgPyiwNyd36o+BsDm7mRxqaSv1CHI+9jSrOcrwyYuGdrMXcOUYYYd2kJsWrDHJuH04cJY1B60429ixYILKMqSdW6EHgPK9vql7G5cydY6yYg7a8XX5BbuBcBkl89hZKd/qHbL+HEsn3cGNr10jXVCG3bBxc7YnYp2l67x5yEZDf4GjOr0x/iT5m6/5fuyVLT6OBQu+OZb4mqlb6/DHIbT2XvoxRdHNVVsjw8sJjpbbyBZKz3/NTn/QG+LxdyaQ2TDCGJqJnt/jwRB4FjuNX7bV3m9uh5nYKOw+Xg4BV8qPdgtRcFrzw0tDCe8Q+a6HW2Vw0F268/dIS5AQfC+4H55myvukD25y0YKnH+HhRZth6JjG2yQnk+yTno5Yk8EN2rTrErKg8Y4DW3IPAyRd3A4R8O2AYEnq/2qRFSAySqFBlXqSJxa+WW8YO+93b/V2lTcGvn9MDjUDC0KJ7XeRL9yKQQqeGDRMv/sW02PPunM1T+jdjcR2fCDX9uC7CGsmjCPyP4tJIyuw31K5+gUemJbtTyLWlx9ghabgc5aEx6NFpPlaaJUe4itlzw8HhM028IwaE9OtAvmDVWrTxJr8iLyMxXx9/Td1VlcPJI9u88god7BmzV1DLfZmNomz0Rr1w/sZWt/1N8tGRZzfg3cmZ6pW0UI/qzRosKxDI+KQ5s1DeOkOwl16plkDp5Krqk9uXbL6VvXccNGHy+W04azeC0NZx+neeA6xk1bjtss0jnTQ0PGt3SueZz2n66HwMW4AQirHcv4sIcwjf8LAIaOVKJK55K2Tc5arD8gE2Z7dh7vqyIUf2fYqpnOyQcqj7PvXYF+2GU8+7EbL58+IBbdrubhy9QU9uCY70i/NfAGvUAATi+UOUKTHUoF4oM18gw0NSSve6tms55Lq75F3DOcpqPyPcstD8VoV5FWq/TO+fJx2p2NLC59jZ/L3kTX0ULV2rs5oqnsXt/cLPE0TivcwzWxF3Uv961j5dEr979Gd5Dluj00GQV2jhlNY5TkKdyfqkxVd3hsHG/bhd0jeX/0Tjs5ATKdIr5QEtItJiPl6crBKb8lX3FOXViw1b8nmGMdBRqZNK4fciEh3vRy48Q7EAwRAIjjrkArCmh7jFtZxRJx2qGVvCpn2keiEdVkuZUTtXPtyucHIhERgUsVzYxt5u4EG+Hlf8GjctOpa8VoTULjMiMgeH8HzxLdafGW+7CuUSxv7z8Ma1ImImBJ7YfTIX0jjUfCcXYE799i2owMKBva/ffhFlngsVMoD6D5JN3n8A4Nl92l5s+3qbHqBS66V83199zFR7MCf3djQ6Tz3lAp3au82sCJDgBxdmWml8YwvFvsMcqaSXWCkdXJSgNwxehawrzOVLcqcH3JJKOVvAuuIe+Ca0BwYzLLYeyMatkynnBImuiMOxRYcb4y0r8EzLBj4RgCZNEumXkBu/Mn8O20RawfcToh4cFlHP7dOGUc/YfizbV/48KG07mg4XQi6xKoOByDPSGNsH4JXJm9i4vjHiczTQqFrEkdzl3rn6T6iPQifR09O+A+W0zQFCW/wDnHj6NtlHhMKaG9p90D6GtMDDA3o+4QUAfOvAwKF2omW218Wl1HvqaZXWkSB+f59HKCqBAEhDNTxKMTCW9rY8JG//IJRaTRj8DZLZnqcAz5F6OJyeUq2xl+69U+Tqd9/WHDIC8ZUqM8QVUrxDyr4fYl7yuWq6MkJWzbSGkwChPaqH3eCQJ4zOBprQDRo6hK3rn65N4WAK1V9rREOJUdXa29qmdz5qVcw1mpN3KdxX9dF6zb36HT0LfK777QZUxB0JnRJI9CHRuYv2YxCBxJFbjvCuUsvNgROOswEJK9XAVVaCIRs54N2KZYW8FXCXKl8S31v/i1MXZW+C0bdiwCdQ/hpE/mlVE/WvoesuqaGXH0OP2r6pl8vILowa1++wDQYVfM+BsEmQfoDlFee42qhVqVvJ+Vs2exMyMeh1aDoFLqIOnCHMQMbkLo0nka2hLw+L7YOHGS3zKVyolNffLwTkeYmVCMhJ7xOqh1aLNnoEmSBRo1sXmY5zyPLm8BofET+KDwyaDcva76jPFiBIvsU5nmHNztHZvtGEqkqDRm+vXfQkpK8MEf4JbhkrzEV8Oe9Ft3XCMZEnEa/wlNmeFXv2WGyDtArcEVHo0jaxaxOXVoddI9qjhJxmhYp4q8EpmW4PDY2Fj7A9/aPiO8Tc35q5MRfWxRlbfvOHt9Mg6tQKdROkePSqAoOQpRCJxx2SUH9cnBixjSdpDkFskwbzZG8HrmDSyfJSKoRDLnlLEgU54oqnWDlNcfeZiL9j7IXWu347SFsWRCNR/PK6Uy1kbYRedSEhNGZJNseI8slwoxp9oFMmbK31ze+dcTP1wuHj3ymFJKI6xDQ265v+fxyxnlnBhnpv+5yu9+WGEEBkcPLmSIp/vC9wij+Ek4t1sn7P8Cp4yj/1B8VPQEi+oX8Of6BbSY3qGuKBJ1rI7JouxRSu/XSu2rNl7qdxmxtBDrJdC4K/2tjZ9uFnnxHAPVSXIm2chdu9HXlUuK1s0nFwZL66zDEOUkNNXK+g1n8RfepYjsoO1dLnkG9gNzun9nWSvYkTkAEXCr3NxTYeThyuDejZ6FmdsXurGMdWM8v5jJO5Qzwv2e0zkkDsUg+s/+WprlrIwwm7/7JuI1eZvaFDh2CQi6UBpuU06RE+7XoStToWv2IGjljt5VvY/aRxwB436iTxZ3yHq5U/C0VdLx651YNrzov5EP1D5CfgObriHJKN/3mh5ZKudl3EmoNgqjJpTRsXOD7tNVewDrtcEVaK3bAvMYQBKtM46+FtPE2/1qi30+TepWjHUT6Tz6EFfNvBd3tIqUyY1MagxeDwyg3SjNMvUqE7aweOqmXkvIjOAG5CrrLwwpDuf7kpdZXvEBNdYTuBH5eF4pH88rVXiDfBHeqaV/lb/HYWmsjYGXHKcjTUWkxU52fQsAn6UETjJwuyVDoEFo42fdTn7W7wzYLhhqE5JQG8aiC7scrVkiiockWBh4cRFJ4+uIHi4ZiEmTTz4b6Urj90VW9maWpQWvf9eF2AFXdP825F+MYciFqIz+WlL6vPkIgkCsKxJ1fOACtklVSoNcQOBK+3Qutk0kzSMZ+fE1siE3qGMoub9/TNSJM7uLNCtgF5h1rIQzjs3AVjfdb/Vqo5NXwq0khPh/eLHVR/wru6sKCSsqJLJhBObWbPr1l+ukJYwYRMosK4OvCJ5d6ot2o4tKy3Gq7Cc4c1MiITYNnT4eSVN88GSWM1Z8Rmin1s+d79TJIdfcjmNMbZRr8UVaWxiV9i33ZR0hbXol4emdJI6pR2OUnn38iGpUukay5j5A7OT7OO/o+eQVfEKCpZkFR/dwwUb5fNZu2sPh5FgaQuT3ZlTFXM5fncydOf79QlT/1UGv5Zz1yX7LjqS1Y9d7SJlfRnu4AzFFyaOdsk8ZWjdFyOem79yIylWHzdG3iMa/A6eMo/9ANJ7wz7e+Y8Am7nN9xEBBmSkzcXsL8xw1/Kx6jSs1kvLt8MVyVkPxmUNpvMqJdkMOEw4kUxHqLSzrdlEcE44AqFxONHppunOiOoMlB+fxNjez+duzFMfSOkUEAVImNvPmuVfQJETzsPA83xX5Z50B7O2QCNcicDRSdvfHO5pAFGkwh9MZfh6tUdfQoBvKJuTsrPKNMlej5+Shc6qHlivcOPqJdFwpf1AqlZOpCa1cIgzmMvsUrrbNQCvKobO2dvljdPeoXK0/JPDJaDXhX0iGy3izm1t2v4Z53ks4swIPsII5HsPwP8nnVfY1MS9pcXsCfFY+16BuU16Q6GhHdARO9e5KqRcQyP39Y3J//xiVR8ewaHmQMFUe5vuSV+T9B5mNKvbrtIDbgSc8uNvOVb33pPsBMM9SzuZ/Hidd/9bOLxmnKqDKHMPgWRWEJtsRfdiem8ct4M0/ybyGTaOmE2rtICt0KAvT/8LMfreQHTGq12OHlkvGg0t00uqUZvTLfEQ823w6frdWfhcSmgwk1smhge0+vIydgkhYRg39z6kmblgrOWcFDvl0oaR4GL+atlCnCuxd6hXp+WgMExAEgbiJyyA9nOwzpezAw4emUWyZibuHhlcwuNX+mjAjn6ghsVH5jIe2Zvi10yTKoSJt+sQ+Hc84MnB6/ImsLIa7MhXLBARCfMK7Hp+hJ+aE1M/EFp5Lv7V/p/jQdIqL5ZIguw/NJbLVyTPaj8gvNpFx+sOKfbepRFIEFZmC8vpvyHwSu8aN23Gge5lK6ybvvOcYcN4OzGFvEZurlLswJxUQll6FxuAh9/wTmOKsZM0rY9B8/2wqp0bD5iFS8oPeJ0RUs0vuZzJPl/lAD4c6mWSWJ2W1EVWcty6e07fJfV1HxEW0xt7BynWLsFjCiLf7cygvipEMt8hsuc/oMo5CU3bSf+F96ELriU5sZPj8vxGaL0tx6H3mhBqNSMzgJioz5O9AQMDcS4jdN3O0N6wcWcfWwdI3dV+liWdqjHyS33tafvww6fvV2g4R1vgO0VV3UtUcPFP2341TxtF/IHb8eHIxry5oPR4uF3byQ9MzOD3+nah+7g46B8sDktUkzWo0bc0UJMsfccEwaRZ4JHEIXw65ivZjcczfrPTKBFLh/tOyB4mvHMceRrKdcZSTBsBR8vhSSMeuslMWFc/v2crMtPkN6/l1UD6W8AXYzKfRGncPbwq3cSPvU3UwhsZDyllrdXVgD5U5Uv7gMrN2U5f3BeWjZXfwEJfScPtdu492TRMNs+UZfsyLGsLe1HLVbx4sPnopdblKBWO/Y898QvF303nVqDsEor74465gsUd2Yhc6lt7KG6K/Vy9UG8Xc5KuZfqgEXc0RXCeptu2L9qW307H8Xo6FJ/Nkya3seTQcbfpk0Ci9dx7gcOXJheq6YBixCOOku4lwhXJWbT/cFhVf6Z7kHs3XAds/8c7LvP/0A7xw/ZO8feldbB4paamMjpkTsH1fICLSECnfi18myhMNV1Zg46U+ws7hDHmg+aZZz1+zDKh1ItF5nahNvcd9y8uH4HAHN0g1uuBhrQ7BxujJH5Cz4DaOlA2i3dSPw4ek+9DFa7JkDsFiCaUhKzB5fOX06YhAU7QyNDd+k8SH+du7slE4Y4+HB9/0H+j/GQg6E5okf32x4UkXMaKHceQW5VHZ6fXkxEfUEBHpH/bV1A2jolzO6tNq7d2sqUtnfk+nzsYKo8/7LsDnKHkty8I20H+fC71Ljcsii3qa4qTBXRfqImPmMeKGbFBsFxJfgM7LvzRG2el/dglhqZ1oU/w9zctPO5u2UKl/ieyQw9MdlfK5qH0IzuXfZXFepLyfSQek/jexyQAi2A3DsIbNR1SHs0rsz+4Ds7FnRiiOaTrfSWSMZDDZWmRPt8boJiSxs9tI8kX72W6cydIdjL44mqR6A8OOhTPosuOkTKwl9fJynJ0rEN1t2FreRB8evC+xjzw5Byg2v5FbRgQ2hJxqf/5b7JBGchaUEJoi9XMRdXL/nR6T6df+fwunjKP/MDjrLewRD/ktd3niA7SWkKaXiNlfNLzuF4ICaC+TP1bRW4dIcDtR69zEDG4iZUo1MwxSB9JGGDEtTbzy6pMY7XbadsrhHCHAzk+fcwS93sKLwgP8Tbib+4RXuFT4nseFp6iJOIefsrawbMh4jodk8GaKTFw1emxYDf71plqFSN4NGYKvq6WqNI111YGFJX2RlPT/2DvvKDmqa+v/qnOYnPOMNEojaZRzFkISAowAkTOYnJNtMBhjsMFEAyZnDAYkkTNIQjnnrJFGmpxTT+jcXfX9UT1TXVPdI/Ge8fP7HnstLU1X3Qpdfevec8/ZZx85vOS3KpyAQlHNIagx1XFw7KOqbaZjOlYM78eRkYkkupSJpD1nDUGD2r0cTowOR7Cjlphl8srVsj/yaxXfT23kBGMl2hfJg5nk7cS95RXV/q4f7oWgjyuWKZ6ZQEspvkp5JRjjC2AJBEl0Hp9T0uatR3S1yKEyvxOCXga113Cks5AlO85DF5eFaZA6BLetOIO9PnVfLEXL3wHQJfbDmDcFQ8pAPjjyGDe03sHRZUNpdNzGJdiRJBDDuk+/RgfG7HEkjrqcxV/uY9yeDdz16h97ss1OBEfa1Zo9XRaJdb1Wp4FuvlgqmEdHHrBXzx/Er3vpWIWjDKU2xbDqFSd8f90odhUxoJcyQ4qo8DO8MTV0OBXDp61NG6LYvu1M9swfxM7Ro1h+8pye7XuKh9OSlspH5yzq2aYLBpm4cRN5VeospsuWB7nuO+3kZB51qWbbicI4QJs1GGtKUqmq72pdyVdVr9AQUvFf3iH3+YHDlzMxU+uVs4Vi0MGg/D4VF6/AHfI62ZPcfFZ6KrvMQb61+vjQ7sUgqg2XoOBnpedrslq0chh60wmKN0WAIKmPPTRwJF5z32VswiGFlLWHW7QGTHHVRAxGxRNXU5DF+/0XaMbchKQwbbsE5XsXzKkhaWAHRlvkJJOm+wI0zRL48ICV0YcTGFWagD4ULdAbJYK+vXg7XkdvcjLk3OiK5A2CVgy4NzLHNWGKYll8eLJ2/GjYl8SaDgPtQbhcUvM4Bc9P12/6V+EX4+g/CJIkMeabyNo/zuDJmm1+UYcvqCfN2IyJAJ3BFF6qnMY3IwtpjrFSc7Y8yFb8qAy2/qQQP0SUyJtdS87UBlKKHD37T9+4gg9/f3PP58IPvBh9IvHtfpIc8su4KU5RuhWACRM/4ZxtkePRrdnP9Pz9UKFSEmGyY3eE1jIaYoMYYwv56/JLeXjr1WTmVbIpJbq2kSAEmVmkliFo6ScTc+MlG3N9CjeiX/9txMdr+RtBnY5jJPHslEWq7ZXjFUMqf8PDWNtlD1ZvInLNzH9gOSS/Tvp2gfR7jFh2yxOE0ScydXMrKcPUoTPXJBHDOC9tl8uDZaB2O66Nf0fyu3Ct/xuSS57MJVczkt+DJIm41z6Od8dbuNc+gHPFg/L3j/pkFKxv/BznD/dqQmXj6w/w6Bev4d27GN8BpeZS+hgHzTot/6PKEFlZ2j5TKxMQM/+v+Cxz6QhcjEeciNOrrHQHd5mwjr+WlLjBFJryubDCixEd8XGFfGXaTn0kAaowdPpb2dG6HAlwZ/fHm5JJVVoXR3O0XIlPp9dyYNZR3u4w8cHJ2sH9wmovwyzaSUUE+k/7jmsHKTXVZqWUYmquQ9914iE0s2RgZttJGINy+GLogC2kxiiZpa2Ci/375qiO8Xq19dBMNg/VY9JoSUnhm1MXsHbaVA4Okwm4okHxXJ3y7XcUVKhTv9M9Eqdt1S5u6h/zYSo4cbHR3jAk9Wfp+AsQQyEt00CZ0OsRJZoDIqWeICXtW/AEnayqeYHPHf6ekhuCTiJ3h1YmYEpATtbQh4l3NpHEOyxi6cbL2N0se5X2mYNUGUUK3OrQy9q6TxhTojVadIJI/knRExSOh+KrFW5f6jj53WxLHBSxbfWGMB5emFbDrleHcGGS1jMzZn8nC75SPFzBfrG0p8Yzbq+SDff2uTcTQ+Twu8EaJHGQo8/795/n5eqZR8nwRC/JkTszioR+CBlOA0MvUUR4B5xRrtpfeFoFOmN0T2tQL+Hpr86qPpzbxQ/WIA/XWikQlRBotrk/gvnEQso/B34xjv6DUOeUO+alzXImVZlZSR3WCeqXotlj47mSqSyuPIN671ssSLBCsB63S54qtxRmYckqRwrLyPGmKEqtQXsc8QXaUE5acwd1mdMJ6C24LRY+WXgeMza1Mm53OzoJSgtsVBcFWdCyjLckxRMU6z2xWHQ3Lq7XilN2QxKMNC5YTf3gjxlqO8TXZcNAgL81RH5RJo5bipiqJlA2D/y45+/ksFV6ZqY2pLBv2DAI1fCZ0qwWvPPFKisdc0id15A9DtvUO3q2d2RsJOYV9Xn1HQJJrxjJu1vHjE2tWLwiBot65Zk2rIMRBzpwT1C2Bxv2kth1KR29KoT7ji6nqklRsQ601IOkntA3NCpqu86VD6n2uQKRJ/OHNr0ZcbslVRnAG9zKRHtMqmFHYA9r6peyu3VVxGMjocX/B/Z9n9Pz+WihPKkECLLVUIo/PZ8zC26nMtVMvc7BVyatknO4wdQW4mJ403IIxCXhS81m++DIhlt7rJ8toRpZXpPIgQL14Gy1taMTYHSvkMQpQ2/FpbcyqVQ2po34SbW4OMOwksuETzA1RvaiAZzvVUpJOAUvAgKX+ydztWcOU/bdS2LOrp79x45qy6Bs2bxIs621NRurVb73zrg4anNyNG0AYrq073VifDCiER32akTFc3j4LS72EVlzJj97OpvH/56KwRdQmn86B9xBLDqBFIOOARY9ZmPoPiUXknj8xI9IteC+SJ5CGXlkBMDpVxvtCxp/UB8v+ugy2+lIUn85UdL1ZI/1RkWFllzeuq+AffuUshk6g6QQn4e18JZ0AZ6YGbTGqT1UmRMbyByvcIXsaWFjoyRgDuiwu9UGiiA5+Th1MiMObOWsb9/DEPAT41TG/KrMfJqSM7AS/fmdaBmy4ZcdIZqoS0K/vsvc5M6qw2QPUDC3moJ51cRkujHFyWNF5sTGntBYX9iYaaUuW/EQbxsiv7cBBF6sUbh/t6UeQDAcnz/5c+F/7sq/QIMuv3pQK/BmYtbtwSuOoCtwJrEGWRTuc3EypWXyT1eUoBBz9R61yvHO3Y+S5NlNyrAfyZnWQEtLJ0cOJ+H3mzE1RR7YS9tupGPQYI4MnE5jZimxqO+pIs9GIo1cYn5Ztd16AoMewDpLEdM8B6kxR49dd6bcyGeVW7i57gJOd8jKwJ7s11gXt5P0DZ0U6v1smKhIEhitfQgHARYUj4Xfb8ZoVEIouaufwBW3HilQjuALMi8wGN+6v1I27R7NeQRJHn2s469VbRfffxNjR+R1RsBl4Ju231HnK0IniEzi/p59BfWhQbPXrBWT6SUpoQtvWJUU36EvyE7340KbhdcNR5gApuhSh5AkJLYVZLAieTZ19hSeWaOt1xWOAz5l5buq/kPSLfk0eiqJQeKwsBdBEqlzH2Nk0qyedmsNB3EKHub7R6nCKt04OKQYRHkgdFnlCWWLoZQDBrkvlukbCQih5xhhJv/KvJ3CYDrFrjR2t60kYI/Dn6yETfNd/Tkaf/zSHg1D2hharoSL+/eXvZIXJ/uoKs2g2SKHZat9q4FFGEOkeH/o2Q9PkNP9TdVN+NKiGCiSMviPCGiF8fJq57IB+TodHdEFW8PhdscTH99w3HaRjKCUVvBnihjrlH4qWrQTZLC1jI6Rx2jO/4ZGRP669XbavLIXpgWRN3pxewDmYOTJ+FRmZuRg1gkc6dgLVsW7PCPjQpZVPUGsMYmurs8w2uZgS/8KW4va+1oubqRAN5kmQTYA9+6dQ3GxHMYcNmwVXq+NLZsXEYeTDkIGUoRQ/0GDD9+UJHKWqb2EWQWROVsAFrPWoEwaXs7+NWqvWtGFpYh+HQZLEAjyNhdyxJ6Pr0PmHFlT3KSPUosubk0bw9AGRT3e3WJhUKXWKk33NTJ/jbzAmbnxO+rSlb51YOAoAPydRkyxfY93x4OgQ8Mr0lsC2McfPyPSFNJfSuivGFFF5x/F12XAHKc2ns9N9LG0TSsVUtg1hJi4RD4o+hSJsNB372sJIpIk/Y+l8//iOfoPwqH2RjJ9itGQbHwMryivaIKkUZUZg9Om53GfIiUfb1RI1bEG9dLB1/EOnVUDyZkmD6jJydVMmryUgoKd5I7Quk/1LdBhkV3akpCFLmgiLsyN20z0+HpurpYn1Rs/3nAhBStkjkGXxUS+dIwF0pc8Jt3Gwpbvmd6mkKT7dd7SYxgB3Fcjq992SjqsXpGhPx7fUyWFCm4aUJ5LuGHU3JyL32cnTp+Is7CYgC2GJqEDkyuDxLLoKfDh8JWvVWWfpY91aNqUeSfhkeJxiYn4bPIEO+BX6knONUFZLTutelqkdApO7j1Y9c2X6PS3srnpa7o2PkfHAu1g3xhvpyneSmVsdP5aNzZ61B60Bo+SFh/OvTjUvoVqXQvfGndSYqilWt/Kfn1kXsK8/Gt7MunMOit1QluPYQRqBepwfG7ayusWeZI8qm/gM+tOXIEO3HnqkEZBV0HP36f3oVdziSQw9IpSsiY2MPjcMGMqaGRm3cyej/pgGxaf2uh3oExqo+KqiDmo9FmrzUF8fAPT0hyUT76/p+K8NUKhwJjmkZptJ4L6+shhnEhYO1Tpl7c+h8owAmj4s3qSrYt5mMrRD9FY9C6irYUUWxs3jZI5IIKhg2N99L+77RbMOvl6A8PC7gBJBh1zsy7j1JxrOC/vcvYU7cKSUErm3uuVa2d+SXOb7N3MlBIZFMgkoXkkHo/iJTKbXeh0AfZYrkFPEBN+Hm77jH4xiten03sni9POpTjlAAkD1N5S+6hdUe+/vUatSRX8JD10TfV7pDdKPbweUQQjAQJNio+huw7lQ5vu7tk2o3gTLUZ57BR0InqjyAxRO+GfV6soRo/Zv5nTflS833uHyMR3X+eJCfAe9erwthvwtkduX3SBWndo0Jll9B/qOKFz94agQ2MYAUyNCTAvzk+uMchISXlvYv3y30n+dHzH4YAFjlOw+efEL8bRfxB+qChjrkNWRA0auzAItQT1HT2TfHXSWDaNS+SheY8z6rqD6A0GrGGS7rMytFosuTO04nm5eftJH1Wj2pb4ioG0B9QvksmTTCFKPP8FLsfvixzaEvTqgfY0nzbLSQCCXrnLFXbW8Ai/4RLepp+vklf2PcLSPXcxukMWgytI1q5i5nc6mRx04/D/mmAgcgZUOOqL3gbgWM2L6PU+BEHtru/sSKFF6CQuTs44GVvYRqokD5KGsDpnADnbtNwI0GaZJQ1UT6bpJ6kn/Pcn/pkBZ9RjtIfVYPLJ0gTNt/qpfdbHpvGJ2Eet4ZXR6lWrK0pYEWBgXQuSTk951z6khn10nayc3y8qBmFsoBO34fhx/JXmyBXve2NX22q+M+2iRq+slg/oq/GFQjB+ndqIPTv/dmz6WKyGWLYdp4DrQX015bqmHk+CvXQv5vpKYkoj89USfAkA9G9IxpQ1JWIbgNQCJw2NA0gb1Yo1jP9Re1jr4RlUrebSPcPVtOtl78mcjKMIQEzJTrJNGxk79ktGjPwBYciX+GJrODxH9jB2v7//Lnw/WqA6GZ7/Vd/Du2QDa6tibDnHNuEbrF7F94uXDV1T7Db8KOU4fgj8NO9FkllJqNifM520Uc0YfIonp1a/FZte+TwjMJST/SPQteSpzhMT04JX0HOt/mv2m66ksb2eCWFaXj/U5XBWwVfkx1WHFY8Fg82PLS06ubelLpXqatmTVXZsNOk/tlO9I5+tZLBj+2ma9lu3LMTjlA238OvYUuRrWMOEN3Ni6/gsQ5Yr6L+gCluqh37zlPHXfwLSG8ltjVzw+esIvbK9nA3aBIbmABSaRczxAY5+k8euV/ouNA7giULk/u/ilNggs2tORmhRso0NkgG93sNJnUMRkLD2rp8DPJ3jwmbrj16v5d79u/CLcfQfhKINx7iwZQGt+d9ROvtm6nLaKZ1zK4fnXo2ERNaOW1XtB08/fgaXJfH4Kd6HlrxGXfsZPDnlLtApA7nNncmEoOIOlhDYvv1XEc/hECy8I51Pms/J9dJzXGR8S9Om89Rgj3FkECGuQx5gMxuUgeTzXTIZ/NlDT2uO/13tnfjFfLqCsucse8ftmjZCUFmld+SsY1/KVfiv3MKUqYsZP+Gznn2VlcOpqSniR9M+Uk3ZbM8bxO1hWWwH29WDjr1VrTzbcz2DNiOm8LQGUos7GLSojg/EN1T7MiU7G3up2A465gQBfEMkuqNmdRkWivvtwTrjbk4EjQOH0jV4NINbvRwt7I+o0+E1yQbm9zXKbzG+fQcCEg5T9JILhxJzMYUygKx6H7/Kjq5e3LtEBkCHzs0/LKvZ7ljFl2XqDDydoOdXeTcyPHGaSi06EtYbS1hu2gMCWKqPovN7MbU1IkgSoim6gdec6EdAYHaE8MMNqXJf83q14SHnXnniye1SstMKHNpJ46tUWcBQEGDruNkIYpDkzDqNHpek91Ey7wpKZ92qOQfAWd4JUb9DOAYPWRt1n9GoNj4rYip44xQ9d15rQNJFD0d0l+FJK7moZ1vQFHmVPkv6kdP3t5PhqWerK8jnDj/uLlje9V8L7yzZGU9i3QzVNp/BQUXXAU3beKv6+Y8c9QPrpidyXeIX7Oy8kiHpaiJ7QPLzR9cSADrK5YVjwbxqhl9aqvl9wvGReQ5lx8axds2lVFcP58/TF/LH5rvY0V6E05nEzh2nqtp7PHGUbpE9ZOljlYVc4qB2lldM51DbINZWK2VSJvXbxu64YhUnxxjSPDIep36YXzBw5dLnya0rx56uNvDKftCGdTd0KsaWOcQHaiuNXi8OIL4PEnUkiCdgS3k8No4cmYQkCUxJcjDO5sfut2EweJgydSnjx3/Jg5luHs1xk9zL6NMJMG7sEnS6/znmz/9Z4+jFF1+kX79+WCwWxo4dy9q10QegfxdKQ96XpsEfyp8HKD9PxaQHcBSoiYcdSX1L7mdP6Vu8LhzlBQsYaywEUemM+kAMHzQ/R1DSU4lsiPn9Vhyr+muOL87ehYEAfzNexnTkcg6XSmqyb+fpQbwxygg1dlc75gMC9qPKi2mSAgxwVeCXCjTX8IojafC90PPZ6NbylqReNeKMY5SXzmxWBqaK8tFIIQ5Rp+Bma7+hvLxNnmgCBDno87FzxwKCQX1P4dfGQR+gQVCbAm6KDVJXlMIycZZmnxGBVzr/wJLmJ/m89UEkCdIbvcR0RR4gpZS+U4X9BgOiIFCdK0/o26ZOZdv48axfdzEV0+7DMfQmjIK6H1iDbv566tWsnzIFURAQYuQQQp0tiRtm38WdM24hJihnfY1OrGNQXDNTzdpQ2el5JXiyCqLe20GxFL/o5eOOpZp97cKJcNSUfmHoVMjWmRMbsE+JvKJcVLaICQ2y0TE5TADyvgw3D8bG0l8v9299bRyj97RjdyptPA4L+o5WkkJew5yuHLI6tZNGkVUhiy8c+xEDzyzD1RB9hSsaXSzPfZsjs2+ktUApZ5EsxTLP1zu8pp4kkpMrSUiInGE1vHg54yd8RkbGYZKSqhk0+nO2p2iJ7L3RdI8ffz/5e1k6C5QdEVbwAGcMW0aWt55z6z7F2/Vaz/aM+b/t8zotvsgFTwEyDihp653pW3E1WenwN2vaJbVEDgs1Bh4my3wWI21akdBdR3IRwnQjxAg1vLqha4IVlTNwSGojf2uiIoTpk/R0dSVTWSEbQzXVct2ydqMces4Y04wl0Uttcga3rn2UD0rOBeDTUsXjdHHRRwg29W+b0K+D4NTjh8mSx7Qx6rqDKkFJgIBXR8BlZN87Azn2nWIkjQ3zSvdvkd+bihVZ1G7519UpOxHyt8XiYvDgDYwd9xWD8g9wSbKfGywJTJ6ijAfxoenmNxke4nTyb/bXbBf5eTdgNJ64TMLPgf+TxtHixYu5/fbbue+++9i5cyfTp09nwYIFVFb+z6lxAuR78qLu88ZVqTKwAFJSqnAI6tTlKbnzGHRWC4kDHaQWR87eCUfdliv63O+T7Lzc8BHeJgPzv/2O8z9cTNES5SU11IQtx3qFj+eilC1YKMn3Xnuf0kgHpL2mIyss9NJmiOVXTavoCFx83Hs3O7P5hHOP2y4S0kTFhb/WcBAkiQKnfG/fmGSCbldXChvWX0RKhbwC7LDVYNapy0NIoer1puEeCubJK8j3Aydxp+dujrZF9hhM8RppChRS7RuJIMjhxjF7IntRghbF+HJbLBzt359ASAnZYzbzyTmLWHr+eRGPlQw+GnKcnDleHYZK8rcx2lJPdV4uzWc9RMzJD9N+cjaZrlbK4zPJdVdT1CVn/zmdZo4IsRxIULxdsW4vlxTsYIC9OaLnSLkBebALtByjsusQVbpmvjfuwkeAj0yboh/XAwFTYzWm5jqCMfEEYuIBCV9SFo0NipveUqvWZYkPxDFu/KekGSUuSPRydYqXVKNEQkIDWzeeg+1QPFezmCSHn0nbHT3HOQcUE4xLYkDnADJcGUxsiiyrUZMYx5F+NraMjieNRswJPhp3K5pdBz/sT91WdWmE3KJViEYXTQPU73CemEJaQgMeUxubUzfTanao9hcWbsVk0np/i4auIjGxjti2wYxIaWfY8JUckFxIvQycK2/vNYsZrWQ0/A5r20BszZG9ob1htoc00Ya1MvKqLWROfJ2sKS9htLfhsddEPW6jvZWu4PE9EjWZn9J8IJG4gvFsblJnsSaUn61pLwRM2ByDo55ve2sO3q8Tej7bwrLFnH4r62omIIaU2g/oB/L+oXMAgbKgPBnvDaj5al/6htIWtFBRMYq1ay7l2DEl5Lxp4zlUVo6kPW8UDckjyfS5iQ1x59p9am/N3GlrVJ+zpzQydvieqN8DQGcQ6T9O5uX1zi7urmoQ8BjoqFDoFdkm5ZlbjN3ePYHmff8+Y8PpjOypysmKLEBq0cFD2W6eyXVh0cGR8pfYt/8OgsETS/T5OfB/0jh6+umn+fWvf83VV19NUVERzzzzDLm5ubz00kv/o/c1yZPOUuvOn3TMR2ZlkvHaanGd+iy2tEbyT1ITruvqBrBl81m9D8fVFJng2buGo+1oJwnt8gQuIPCHT/7Aa+9cS9ynyuBr3abuTnpEXpUu5R7pT5zL+z3b22MV79Sgs9TE5MRAJ78rfxNTWJkUq25VxHsE2N9xLqVHH4m6PxpGBBRDtFbfxvVrPu8hHDfq1KnezebHOTbtDo7tPwVv9rME28qRfF0E28rxHVuF5zQfhcNbsSbJA1F7+68Z7otcoToSNgUHY4xSfdeZtgf9TXKo8IszF7Jtwnh2j5K9DRumRufVAIgh0mdQJ/B6/hU92xfWK8VZ/UIFGxp+T1mXl7aEBK6wbGVhgzJB7c1Kp3K6mfwzN9M1cCSdA0cxtaqKdKsTfS9r2NCh9hRIYeUsNjZ9zvem3VTpW/iHZbVmEu/GOL9aCd2XloMvJRN37kDcuQPpHDKG8vLR6oP8auPBbm/FapUnkkkxQYaHQjOVFcVcwVImN6q5TpIk4PebkIxKSHZqQ/QSGl6/jcpcG52x8qrfYBaRRIE9bw1i/3sDcHYaeV+Q+HR9rvZgXZDdk9QelzPqL2Jt+mYabPWszFJU6ceM/QKzRTs5TJv+HikpVej8NnJ3/Ia8bfcgiAbWO7UhCEuMROu1SvgrZsHT2NqGkLf1PtJKlAVI9WhtGLvnlo0iBXOrexI74vM3E5cjLyAqJz3I+XTyGh68vdLD3yp4iS3O4/OtSjdYQBRwidnUudRE4YBUSME+RYVb57eRfvDy3qcAYAfvUXhaJcYYPwdqFdmScGrBvese4K39l7C+RjZ8D7Qo499qfyGfeoezPaAOVXVKFj73F+MrPcrQwWoOmt9vpbJyBD6fnQH6Fqabylhk3ssM41FN1mBmsrYUCEDeLNnA3Dt4NB+dfim68DI3c7XetG54S44vmKoL4xKNiGlg2qYWpmyO7tH7V8Fu7zh+oyj4W4OZL9qNNDR8wYmpuP08+D9nHPl8PrZv3868eerK9fPmzWPDhg1Rjvr5seS9lzhzbj6PzZhBLVnHP6AHEmt9sjhZ+bTfR21VUz00orBch7GFPJOg0nQYaNZxWryR/malezjCVibf5k+kNiaVg0n5mA+ElSaZ0Mt1BNhxUcweVRdvTDl+JXgpdEcx+o+JM3wYtd17m1ycdjSLxPL5mLqy0TWAbVXf3fqz4DkM1r+j2d4uuDik166EPxFOxm9ro1BMpjZHxLv5Ybq+uRPX6kdwnN/J6FhlAAsKkDTkOwZ41B6VG9O1hilAZ2AhF/jlWlHDl92v2d88aAl5nWqPZunAgTTf5sdr7fs5+v3y4FmVbeU9w2GCJgv+uCQkq8I3Ota1hSpXPLXueJbNmY3BoR6MMzMU41UwCWAwUP+UPNn2pFMD+q52LDVqD07QouyX+hjk7NQxfPhyhmRUkTlwLbm5e6O2pVf9LJ3fi2GO+txJSerfUAzVuqutHUwu6kWDGzPr1l7Cpo2RC8tGwr69J9PRrg5R9D+1kszxTST07+DbyQ1UpbtZnddCJMeJK2DgU9Nm1bbFR57gi5LnsIhmxJDR2doqi7du3XJmTzubxYkQMiwN3gRle8swkvQhT51TCXsLuok8OTLkwRT0CGHxEEFS3hNdMPpEa4oJRNWvkfR+CrLX8g4+zjFX8ungt3k35UvOHXQXLoObTdkGDrijE1Qc2avpis3GnV2IL2jCL2gXFebaWxi4/FXsTSMZuPJF4usiG672ecuJzXEy7OJSBIN2LIpvEHs0kg60yp6nr8vmh7UQaJesRJuQVydPZ/7eQ8SWRBek7UZ/fSsjfaWs3Xh8XlnSYNmQ+G72Ii7JfpcRVx0mtbgFgzVAWl70emS6z7UVBnrDvVAxTlPMTiQE9g85AXGrE8Tgw//6bLK2gK4nv1iv78Mz/TPj/5xx1NzcTDAYJD1dnc6cnp5OfX1kjo7X66Wjo0P1718NvajEnr/izD7blpeN6vk7ObmKw/HllMy7Imr7lpZs3O44Iv3c04VsRtsMnJagXH+oNSTbb9VjABL1AoHTXqBzwOkg6BBCJUjazbER9WyOh+osbYf3ikNp9D6BX8wmKMURlORBUid0YNRFF9vrRtrhC+m34S8kvG6iZZXaaDDvUd/jUv0FPFI0kWLUnC2n4GWd8RCRULJjIQXBdAJOHcGQwqwrJwHvRPXKePfwOOJy5NCbKARoTttIU8YamoQkzky6BwmJzthSumLKeDPWQwALIDDW8wp+SV0HLqPBw4j9HVh8IoJZPdj7Bkt0xCb0+UwaG+W6RE12Oy2z38ZVOBxPdn/8ccoEVJtYhBTSFoop3YO1rlx1jqTBDioqijlyeBLJKWFikPk2tqLwZSxdLQiCyNSp7/ZsCySk9PgSpChibiNHfcuYGctJTKojddAqHHkryM7REnOjQTSaGZ21mVGjFS5PVZWS2l12bAybN53D5s1n4/dr+937LDzha4Vj9+5TeiR2fCLos5ykDm8jUNxKS5iGzF3VNno7BUtLJ9Cii1xL79OSv3GKfxRGSU952VjWrrkUj0eezKoTfCz1KGnythYlLJaz8w4Oe+V+GS8EKKjvh9/Uj0Pp17BRN4P5z77DmovUwqAmlxI+uufYTHrDERYW6nRbEYOR3/XhybIgV5s3kadKzuajoJ3GmgsRA3aqMjs44hX53OGnNF1dq7Fx0Ic0DHsLjzWTtDgvi2wvkJkUOUtSJ5rI2XlHxH0Ajf3U2avWJCUc/cCGe3h+y68ZuUehGWypl71RaVY5FJ5u03p1bhn1qupzjTUbu8HH+IQKTdtIyPI1ELPnxIwHv8EAksSQ0JiUPaUxJNYYGY9xP1f87rmez+ntXaQ8Hvkdkz1RcidcPymJ9vgTkwMIR8Ou8+hs1yYAlQz61xla3egQwfg/5zDqwf8546gbvYWl+hKbevTRR4mPj+/5l5sbwV3+34TPpxhc6fRNpK6uHtrzt8HoZdr09/toDQf2n0S01VC21Hf457QEIzNiDSQbdGQNP4PYhS9z7ojL6PZBXT2nb1JmJIh67b00+R7HJxXR4HuFOu/7uEV5sNYjP5eXhn1/3PN+k2ngjkse5mimMhttYjKxr1tJ+Ic8cexwjgdBYL+/P0Wo49/fmqKHNBu74vjYtImEVxSXe7K3gVkb1C7qtgQjplh5wHXGHkPSyV6WJZxOsqEaUe/BY6/FHVNFuz7AdzGy4WdAG6MfVtJFaouPDux8eNaFqn3hBnI4UoxVYW3G0thYwKaN57NhvZKV5E9SLwx8yWqORc/2dBM6g0RlxSjq6weSk3OQ7ORdOOutlOXbKBWU1Pe7Mr5gXGINwaWJ2PXKROPOC+lm6SMP3HFx2rCBwXDiWVDmPPldiY1Vr7Crq4vw+034AyYCATM+rx0T6vBbDelUoa1j1hsOk4ND8YcYOEjtWXa74/BL8NsaG/fV2vi0NoUlXdqJ570WtbHuDRk7pbrI73leMJXLvbMYGvYcvvQOZXn9VPweE/EH5fcnvUTNyxviLuDbgy/yUcU9nJ5wGY6Mh5B0skHoM5k4zRmZkHuEIMe6clkTll31AI/ynen0ns+tnlT2vD4ESeuQocWtHkNa2sYRdA7C0DKX2/JvJ7X4Y/SmToIj36Hk5KtoGvAxFRMeJtX1Bd5tc8gP1HM5H9PfcIgLUu4kxfgH7PpvtReKgJqRz9M04CPaBnyn2q4LZT/9veB6arqyuHnpN5R+qp3c483y+HLWgK/oH694Ps9KXsaotH2a9m7Bwoz0cq7k+FIiqQZX1KWjr1P9PqSazBSz67jn7MYeRgEwprOOolRZrVrUJmAiBCSKrzhM5oQm8u2OEz5/OCp+vIu2w3OpXRa5ruS/Eh4ngMDyTiNeVwKBn1h54V+J/3PGUUpKCnq9XuMlamxs1HiTunHvvffS3t7e86+qSpu589/FhVffyWhJ9jjoCOLGQnV1EV31Vva8oZAPt245E0nSo/PIhOJBg/omtobzjBZ5J0KrUuU4plHN3bDqwHyCFvuEUNirJjYN49+0g27Sc/+aFMzusilv5Jxz3LYPFls4VDCAF88exetcTzU5fMBlvHnGeVg36Uh92MBbkiwmed2H7zOIY32er9OsDjV06NwIDcoknDXBodrfkGKiO1/YHF+Nx6b0sWaSecJwJa2pW3u2xQse7nXIdbsuRE5Nz9l2N5n1Hkbtlfldf+FmnkatyA1yJfjemMsabvZ/pNpWcuj4dbN8qeowriTokID9/YsIBpXJPhg00LIrhiOfFyBJUCcpRpUOiZnpZZySdYQxbQoBPGiPRUIgEMHLZbVGJqHLYaO+xeHGjvucMWO/ZHz+sp5teXnKdcuOjWPTxvPp7FSI0beilpdYxrQ+rwHwY9aPrMpcxf6k/Uix6pDc9m0L+TysMvrqoIuagPYF2uWW3wWfz8KG9Ur4boOxRNM2HPPcXUwat5glnpG0SHbGC4fYZbmOY9sij1N/K1cWKqeVpXPnIQ/bvu/kjOq+jc1u3+c7By7iphWPce/aP3BUGEQlyliRn1jJ8CtK8LsM7HDq8YjwUoectTUjJzIdob11EoIgkVz0HSnDZXV/dCKt/b9EMB8mt7mDU12LuZRPMIcZrhb9ThKNL9BG34rNZVN+T1f6Nlr7f6XJtDN0SwCE3sd2k50mq1ohu96ZSlcozBZrclKUpNROuzxXFmQcalbz0xb6HqZEzCGfWpZ4RnI4kIJfijyNCgnRCdD6XlHKxPNLuYc/R24c8eTy9xLvdmA+uxPvKInWG7X8LskgIOggfXQLCaafXsS19IsncDfLv7Mk/nSPU5+IEHKucOiIl4Kcm+ijWteB369NRvh34f+ccWQymRg7dizLli1TbV+2bBlTpkQmuJrNZuLi4lT/fg5khPgQHwqXcbXwT9a3zGfn4XMIigaCP4zmyOGJeDyxXOKZgWiJrhFTUS6HO3w+S4+eyym+USRKMSS1RxcEmxdnZG7861H3hyN86irJ1Z7TckhHlFJMGButNO+X7yvg0SFK0ePKOqGDh/pfD5LEfpPMJTnkCfJOhFWS2D0Qpv2WlcJcfic8S7OQxuK5v2Jr0Uh2JYykNVaO0yd0dvBBwzzuDERevVcnpLJ4vLbYrxjmXTTFqrkUu4NKKRdPjNb1Huw1uIw1VDMBPX8O01C2tQ5l6OEuktv87KKop2RFXxhi3c/dvMxU5DTueE68KGo3usepoMlC1+DReDPymZu/FqdTGeD37D4Fk+gAoHzjAO1JQiiOU6eedxWNxZeqeGgMIbmF4cXL6Q1neTqz1jUzecoS1fbpM96leIQiZWGzdWC3O1TaNfkF2swfV+j+rZUlxITqUu1mCA9yB+Vos0OHDf2RuJC3MjnuA9rMbQR18u/cIvTyPNlqWBfBUxQJ2516Sg5NI9itwyUGWR/3A+8nfxP1mK7gOZyyrZbT9LLxsdQsh8WqXIl0VkXXqerGRRWyUfTAfg8ZrdGJvV+EGSaeoJXGkERGXK9+ZDCL+DqNvNdq4p4aG1VxVwNgN0Zf3bd54tlYO47EAatU293W4+eCO/VL+tzvs0cvIttvfC35Q109GZMdJjuvDT9D1abdG0edUzbwY4xdnNb/B85M/ZYXfnwKR5J8f2+k/5m1ptt6jjkmZfFr/90sDczAhYkNgX780zuWaJAQ6KzRcj316erBMd7k6PO7hsODvGjLl/pe3PWG778Qq6oJqhcpzQdOrHLAicAYocbt4GyRP+V5mRoToNAi4o42ifwb8H/OOAK48847ef3113nzzTc5ePAgd9xxB5WVlVx//fXHP/hnhL9cPVivHSgbOV0Dx7HBMryndIAFo4pvEI59+2ZTWTmCrVsWsm2rwqfIEWWjIK5GWS2nHbxUc3ya8cS0kWwhh/F84yFq0tT3bdkh73N0aVe4YlAgf88z1Pafx7FvUznyeTql5dFX8JcW/54Xcy/k9p1fUtqYxsoOPyUekYRqP0/lGGgzCgQaDzD15AjWUhh+d+u9/PZWhbCe2NnO2JV7sOmXkSEmaNqXZOQSiBAKctqjT0qNHuU3aQ4eXyUtXufmaezMwsgZIfPIotuNBLzIJXzGKcc9B8D57h+IQZmgFrKsj9aREYhNRCIUYhME/Imp5MTX0NykVo0etPAoMRkuqgOTe7ZdyOeqNin0nQ1zV/B1xo3/FEtYJpbPa2HnjlPZUTmPKjEbfZjiekqI65SQ0MD4CR8zaXLfk2YkxHjkezpMPz5FO8Avsn3M1GGfkmir507e4EH+xvlOtedicZtiCLWYW9iUHt1rm+lUh3DeazEx7EvZC2GtKCG2ZCeVKW18m7i+z/t2+K/kCaPCffEG9ejQ41s9t8/jeuOrrYpo5pdV6qzcrwiJEQJ64K6xz/M794NsR0smjsl04004Hwnw++PJ3nE7sXWTWZC3inXEsY44upc6FuDuNQ/z+r7LftK9dmOS8Vt+0C/lQLR3qY+5XkqQSJxegS0gvxdNtkRazWp+zKY6RSMp1tSFWe/nV6O/ZYiugqBBnhoDBoFcnbofVEtp/CagzBVXDHuf8RNkiYZ+/barRDu7isbiNv7r9IUA9iJz6h4hsmp/NHzYODtSKbo+8fu061hrleViAki0l0Ufq53O6LXreiOtyYv/BPKOLJ7j801/LpywcfTAAw8QCES34iorK5k796e9sP9TOP/883nmmWd46KGHGDVqFGvWrOGbb74hP19bPuDfiUa9unO12UMeKp02xOCqH6rZBtDWKnNiPJ64nlWqQVJWaWZXFun7ryBz9w0YvVq+UYv/Tyd0rzdg4grLVjL1nYDAkcWKUq19jR6X1crBAzM0xxWteAu9aCZJuIqyRyVqX/AjDDpV064be+Jkj0PcUTn1tiPsUQzY5+bc8UHcG55h+lpt6Mnoj06GTBp7PTpLPAahmYvF9dj96tDDkTSZV1aWnMmebCX7JxAiFmdP0RoA7WVTCQb1NDb00+yLBLvgx6xbCWFVyBNNf+RP3EEjJzag3sQ7mjmiP1XM5Pg6QsZWJRPNk1OIO2cAgQS1Po/drtbK2rbrfOoS1b/r4F7hSR1wI/+IeM1UWrDiJSZMjbmmegibN59LV5dswK/IG4IgwJCi1QwYsImWgFKY1WJxYTR66ehQ32dNTd81x/pnyr/vZ8yLuH+oq5q5+8spLlO+b1qvSblTFNCFFORdpr5DPpMbJzO2SfEoxDkhp6aG8z9czJS9h+gMVXdvNvStRdYVXIRPLGCRTtbI2daaz6k51zAl7cyeNt8mrItydGTEGBJ7SspsafoGCdmQWUkcX0gx6Hfoif0glfe+Ohzx+Bdi36Yl5xUWVtiJaR5F1t7rWBSWRbiMOM7GyHLimI6BSPGTqZtOLJ38KuM7iL7IM3r99pSIHKhwzB24klN1m/hy1FT2p6jFa9fUKFlv6Y1KfxSvVhYaCe3H579Ny9qExeJi+ox3yck9QFpaea8W/1p28Xi2cJL7py+AfLaWPlXCI8EVKzDHJvOrDAgEPNENoN7j/do1F2Fr1hq2Uza3Unywk45jxw+ZibFaweF/F07YOHr77bcZP348e/dq02xfffVVhg8fjiFKRsp/Im688UbKy8vxer1s376dGTO0E/m/G4NrtWnk7RatS3Zlp5/Dh2ULfhejeYz7aSeOulpZsXWStANBEpjiH8TZ3olc4FWnvibUzCKuQRG4i9VHTpUPCj4Opn+HKEk9NZW6kYweQRKwCvKEUZ+ZRcbtRnJenUtC0m0YJ1zDQI9asyZ33V96/paQiK+eQdaum7B2KkVOHcHlJBsf7Pn8oP5mXpSuihrvvuqHKu67PJnd/bSu/fTO6AJihrRhxJzyBHWMJ9bwA3kxvVL7Q6NIS0wcGwaMoDlkqHosskvbFCq06NLJK/JN8SN4eo6NfWXTKSk5PpelG3Wmr/jRtIJ2wYWeJlYxOWpbQQgyIkadRpxM5Ml1NhtVnxewkhzUYQhzg5o7F+zFC9J5BJK0XfKEkEYLxlZtBtBCZGL9wKNKtpbVps7+rKocwYMbf4sY7+HjrNMwqHVOASg5pPTpuroB+H2yv8JiiZxJmhsrT34utO/T7bzeo9mU3hJ9wE7Ui0yc9BFjx33ORCLXd+uGgEB+V37PuqY9TBk+0enl49k13Q35OmEtQSnAR+VPcXX/B7myUE18bfdfyVOmlwHwi7nYjeoJ6t2Ur/AKJ87NmJ15AUadmW+qXqOsSx7P7wiFauIFHYFyM6dkX0aeKXroNFbwk+2Sv5w7/ijC4KWUTb4fUZCNiTtD/qO7+/3INcP/2XNcXpWLOWuasfiiWzWVotrw9YQ17fZ67WpZSf22VIReM1hjY4Hq8xmDvueOwa+zxnwHOkSESEQXIM4sG4tJrT4GVjvJr5THjhhnkKP5Nm4Y+UbE44DjGhwpKf96ceFfW17+ycf0m/vTX+adI+K50qDUyZSCZnY49Rz1aE0HjyeWLVvOZO/eOaxbexGgZ+L+Nop/UGdm+r0WHIKJJ4QE8PZtgpiNfUcEfk6csHG0b98+iouLGT9+PI8++iiiKFJZWcnJJ5/Mb3/7W55++mm+/fbEMgx+QWTcWq4tB7IzbxBdZiulqdlIgLFzAq9PiqHGHsvj/j/xhHA/e4TR3Ci8RVnZGABOEVZzn/RPhgZzSZJisGAk3XRdxGsmGJ7Fpl8VcV/pnBvQjfyQb8f+ma2uIKs71Z5DEwYK0ysZOEieiHU+AXvBxRgyiklKHM7UwBAcDiW09iH78IZc+Pt0VWQcuIrYRnXq7urOmbxvlUnEEhKpugbiaceaEjmt1R7IYk7FQyAIJNSpJ5VYz/HVVVtC2V3nezvJRR48mroUr8C2AplP5TPIxllHXBw6g4gpRn4Wm+NHsDZhDI9mXsOl+7+no1adyTh0mFo0DmBPlmIMfsKpHNPpWWreSLvlYdZFCGV0Y/KUxcQNU0i8V/EhuiiDPcBveJlUmhnPLiayi3koCr2m5rrjrmdXb7mEza7oxhrAfFZF3Xdf0j8xhHmnADKQuS/Z9UqqdW3NEM2xVZ05/H7V/WwUpvfoNXXD5zPj9SrhzaOlE8jNkzOLhhevID9zL3fyCvNMK3raeENhy2y0RIcEonsY36hrYJhXvte2oA6DwY/N1oGuVyr+8NbhGEKld4a2DaUm0MW3WV8i9hph260mvi8uUG17PvMDlpY/SVAKUGNupN6kzrwLonh406zqlHsfftqMHZw55HZuK3iMIEG2Naszt8Kxr03xMvlEeUFxRv1XTA1TOhsUp4SbcrZFzkZNpYF2WxftWWuonPiwfL7YatoKlGtLiDQP/IhJWVt6tqU39W3EPR84gzhBvdCp8UscdAdZWfcBrkAHi8seo6RjCwMXlve0qawczob153O0VPv+VObacOsNXGjewSLzHkbpKviVbgO6kEE8QThIdr1MVh69TzauB5S7ECSJ1WPSKM+3kWCOzOO7tvjtPr+P1dqBLszzf+RIZNX1SKhrKiJ59/8c56Ybq2cmozMqK5SDu86iPUIBcknS4/XE4mjL6inNJJFAmsVD9g5ZhiF/w8M8K93AM9JNzKo9n9aykWTXRuesGfuoD/hz44SNo7i4OP7xj3+wePFinn32WcaMGUNxcTEGg4G9e/dy9dVX/5z3+X8CBX+6n6El6nTyQ5kFfDh+DsuHjmd/Vj/+fnoWJTkmXp8fz27TcFXbYNDEDncigz1vowtVMv8u08A9o1sI6rVhAB0txBiWRdQRkoI+YkMJJgNSjnLEEMQRlFjRobiZLZKRHMdIUlPL5fPFaYsg5h6WU8g9jmxiWkbwvn4br1tWcMzQoGl7zCu7YD2VM1jW4ee79gDulm63qmwEmOOryZv9uOZYAKO/XGUgpXU6yOrUToZnVckD9E39HiFOUoiql/IJ1/MuQwMjNMdktcsT1q4xo+k4L5HueojT2nYw3bGD0YcikyOTk9Wrtf2ZBWwYGJkv9mEfmjtFlJF+9Czyt9/Xs82O2vhr8aqJ7Xbc3MS7nIasL5NHHSnxVRj1LkzN8nPp/v+/glSaMbY28PKR6Abd4K7d/I4XseKmmIMYwkKIBZuMlO+bQFubmnxQFZQ9IwISxoAfEKirk70YwaCe7dsWIkl6Nm8+m82bz0aS9ATRIUlgtXYx07SBOFxM8e0hWSf/vjuRn7mRn1YsdYLHy1UOxRt1e5UNtjn5JFYxzrKcWQxuH8zCioWcX7aQ/Co9Q44c4twVat7RndfoePpME5/MVD/zKxtdnJu3j3Py9jJrh+w1uTv/qZ79G2xd+MUM3BiJM6mf9edJinbQExV3okfP0c7dpBgfQC9o+YMWvV3zd767iganImsxPFHxfNpatYYrwOW8zqDsx6gfrq6f2DzwYxoHy56ilv5fao6L6exbuPRmwxckhJVEagkmo8dLicdLo0ftgUnzydm2eZseoKJ8NMGgLNvQ1KilR1SZUzEKEjGCj1GmRi4wbeQivWw832P8gCSHtl+kN3oJxsiGTYwxgvsSGJGqaHINPNqFp1H+/WRNMIlx4xU+XnnZKOrrBqm8nn1hfuNmRrU7ej5vc0+K3hio4l8jMTNzfQtZdWqDZdBZtwPygnVMzVyG+NNU+zdt1GYTJ4ox1HnfAyCmeSSDf3gbS1cuZ3snkRdI5c1pp3NKy3q67NEjTl3e/0WE7IkTJ1JcXMyePXsQRZHf/va3P4vuz/9FGDMy+KD8Pp5+VU206yYGrxvYu0ilGl69kd3GgXgxoRPc2PXfcf8IK8vTChg/SRs6SzPf1fP33oQHVPv22cuwbVC6x1d22aDoEumpl3SGdwIZzv5YO/oxbcB+uk4+jd7IcowkEDBQsfI3mL0pJLSOxOxOpSCgJWuXhvnPXSL4JPC0yX3L3SxzStJGf4glUZsJltcmc7CM/nKGHnub0RUHmHasGo9f/ZInekXuPeDlU3zsa5zLX5KVbCwTATJoZp5ZTTDuDb2oYy+D+J7p/IVb2U3kCaQbjaIyIeWJu/psGwlzjSVkTVxDcvnpWLv6McluoLBwC3umKoNKtSuODyuU/nFgUAzbR6jDL+smJFI0chWTpn6MECJrmJqjZ/wcDzfyLuVdSTgDyiqyXVBPfhnZUCmmcrf0CotQezQKfXWc3LqL3pwMsyAPiJdbtvHr9XIpk9Ijk7nZ9RZv7L+YT5zypOjz2vF57QQNHm5Y8RR/3yXLNBj9Sj9qCYVoqkOq870z1PKIHGr4MqBMRHNc6j50e3oqVUYlzDu5UfauLWAl9/N3JjnKSTK50PX6XtUpOg4WeOiIUQb8ZZU13OlsJt/uwKILUFBvp6DOxn7bUZYkyyHICc5iGnyvcyCgzSR9O03pqyZJvieLPoaD7XVkmq9mVafaUzMgTpHvmJ15EQUxw7DoYxhsj8zZEtCRtesmUg9dyMDlCjG8kKPYrGURj2nLX4bXVkvLgE81+9oDP42cnaxv4fqMC4jXaT3HOYeuJfdPY2is9WALU2c/dGgGh3oZIFXj/Eyb/i5ms+zxW8YMTtXL2Z3OAg/fx4+mN1t5WIniHUy0ODTXjzF2YTXIHqcR+zvIq/Gw4JAsIltUtIbpM95Tte8WZW1s7I+zKyHqdw74DYgOO0ktssE2fnsb1k0C817ZitGpDkeWfFzAq9zAK9zE5yyKes7j4euG88mvcjF1UyuGoERmg7agdlDvpCNhP80Z67AlK2Nw2bExKoHV0YF+jAjkM88vLzIlyaAy1OOxMi8wguIj+9kUW8zAY5ENT0SwGP7ncsZ+0pU/+OADhg0bhiiKHDx4kBtuuIEFCxZw22234Xb/z4k1/f+E+JMv57z8bZy+VpvmfDy8Ne00vNPTmRVfRgXZxBlf7NnXZEpmt+P3pJluI9t8OjmW0zEIitfkhRT1avbTgixOfuJD6t4aSdo9RvQZX/BOouzt8YcGEbOgx+CPJ3/zHxmy71bSxcgprRvXX4jktyMAZ8XbuJhiRoraNOpIvMuGHZdwaIlSCdxg7kRn0LrmTz10HYmuTKbWT2VGVQITyw8jtgQ4bbfCX3h4j5tlq5zogDfwEnT1p8qoXbXE6JtZsvU+rqhRBvdDGcr9fsE8PuY0NiKHHyJlPwH4M+V34uyZL1M4YDPDhy/n1MFfcmfb+Yw/juDbtOnvcoVnFmd6xxMorqB8VzruoDyIGMe+RVZ2CaJeYE1hKhua8lhSMQJPSJPIL+qoTrTRGmvEY5Jf8e1puXgt2vRpQZK4k1c123vjIj7lMj4K+/wZQve1bJl8XTcIt1nHvsGxvBcmUPly5ynM9z2OPkottXxquYU3cUrGnmKgaTonC01qAT5REGizxbK5fhytkjpj8J9d8kS4u6mYfv8MkFur6LnMQQkj1aJe7QJMJLLw568Mm7jc9zsA+ko6v6O1jaHIxOXuLL2zc/dzZeH2Po5SkBFG+k61yJNxeabsEcz0qUn56QF1uYgvElchRniuC/Nu4seGAQREgYtTzkcKXsynFc9q2pn1Viamns7CvJv6vMfYxvEkVc5HJ5rQ+Y4vIQAgGl1Y2rWJCc7g6RFaRzmHAC2JRlbMSMFt+yhim2BLKdvrPuP0tVuY+/0PzFi1GpAN594QBJgwUXmnf9DJSSRduUEMI6tIr47gpZAkBFHCrPfz2PQ/8tj0B3t29YtXDITUEFdNB0zbGJn47PMpBkRHh7YvdsNgDLB+z9lsYBxBATpjDbgnSbTeHmTSTjWRfbt+Iu+tfYR7dy5m4wnodkWCgwR22UcxoMzVwwWL69Q+i8RJL+GzaIn01dVDGdQ0k8FNM7naM4exgf5MCAwgNiTRsla3AJ+kfYtu3HKAIwfNEa8FgA4M+v8FxtE555zDtddey4MPPsiKFSsYPHgwjz/+OKtWreK7775j5MiRbNy48fgn+gV9wjDrPm7Mm4dk6ZvrEQ120UuBt5lvmM0naWqdnqct5zLI9zDnmy5gp1m9wq8wqgnPX+TLK+27r3qA1+acjylpA+4hcoFX709MB73aKw9CY23yC6KLwmA8fvI76E1dmLqymGDXvmzJrkzS3MqgYzDOpKBRefFGtylXcCCBZKRdp30FMk0lzHCt46+lzzC/WZ5c92YXatr1hWZ7HG8OvIAgOgQBsrIOk5gkG6Dj4vyc0gdXJ94kD66ujK3ExLThpYPGXSl8Ufk8X1S+QFtpHG1HYxEDAns3FLCxOb+ndtmxzkSeK5nK3rcHs+f1ItaNT+LpuIv5svEcSsPCX5kTZLJ00iAHcTi5kX8whW38lheZylbNPeVSR3+qOItvOZUfGYS8Uk+a38jpl/5IGQmsGpaGO1WgwaOkTF/l+YwrnJ/0+aySaWepdxRf+xS9rESderGlkyRmScqCYV/I8+hygoiOk3Q7yBUa6J/rUB03EMWj8CqKovRprGAWGykiMpetRMxhp3j83/yMLifnIXu30nuJFubaHJiPw5PeYrTgbjHSXmFFJ8DweGWFneqPLiJ4X+7feSmjb0mDpZWXU+35iG1tl9I/tm+vczQsLnuMfW2K3EDWnhtP6Ljmws/wxKs9S5GMpWiQgJXTU9hVHE/Qq6OzWk3MnZ0hK8bHnv4ccw9UIgBJbW1khsR929vTKIuiIm80KeFoMz5MIdkIi6QNrc1Z20LRYdloTbG2kWJVjIMFBXJYLrZTfZzZH3mA/GTkrJ6/y8pGU1UVOeMYwGDw0JRmYNX0FA6FlegImNTj1fkJ25EkgdGdh+jnUSdYvMitUc8fjre5mmyvuu/qInyFrOwSEhJrsdkcPduamvIBAbMAmZGEi4D+7uvQR8i+HZc8n0RfIe3+a0mpLtDsd/XiGv67ccLGUV1dHTt37uSWW25RbZ88eTK7d+9mwYIFzJyprc/zC34aDIYYLsiu5kjiV8dvHAHnrv0S09H9VDb5uaXoPtW+I+ly+GdL5xlclpXBSpts2Z+RncmtdUp5iecGqQ2nJfPURVOjZNb2QJQk9rnUpk6BSUe2KXp3c0aq0BkB/XfeRd6W+8g06liYoDborq87F12ELn3XZ20MWdvI/Z5O6hH5k9iJIMFYj56uCMZRON7ZLz/Dlm5ZhRPEx2NnIwkCX3IWsZ0Bhh/owB6qUD5+Zzt6JP7AMz0k8HAMHS0bAXUjXqZi8h/ZuzgbT1oO3uQM3MEuKlZkU7E8h/rtKXha1QPIp9VqHpqrydqzSq2rU0InaSNbGHhWGTkz5AEtjRbmsRYbXk5iPefxJTfxDnF0kk0dFrwsSR+DcWA1E8IytQwhMbvU0a2ULO1PyUfqCXBqagUPJkde9YMSybjLtZhWSZtJFo5Ny4ZixoeeINsCuXzlLeJj/Vim6fbypulJ1pq1tbfSiFy4cyx7mMUmdMD7gdma/f2FOsx+FzVS38U9U0IieYmNNSqtKYDz8vdyzarIpVkALv02j1c6BlO+LJW3m2QZlJMzSzl3hSxf8WSWtjhyN/bY1Wn2Ldl/V3226O1MzzgHQdAzPuUURibN6vN7REK3UbTfsQ6PUTamTa7I6ty94UrRlt5I338VALuHxNKUZOJQMDqH5oeUIvxOA+XLsnEcU797i4btIs2qeHKNhXMQzb3HD4HqqmJM7dpFVFqabLTp8bPXdiUmnzxWVeTZWDEjhapM9Tt1oFeh1i3x1/DApMcZlFhKSouPMXs66LTr2VMUi8uqwx1lnGuIT+ZImszLDAZNlJdFF4+cPGUp8UO0hvvGCWr5lQ26yTyCPCe/WK4Urv49T1LKQE4EW4XJvLtfW7R8xvoW0prU4bXi4hUUDlAI9iWHpjLdX4RJBwMsCr3m3hHHF/kUBIHp6YvoCp5B0kFt0e3frn3whO7/58IJG0dr165lwIDIqZ0Wi4Vnn32W5ct/eijoF2ghWDoRhNVk160hsb2e1JYTE2YE+GDGGTx31X28dY52hecvSiCYbkEy6RD9sdyankpxvzwSfSNY4JhGs0lgZZqBf/SLkIkQFlzwH0dJbHVngKO9UnVH2rQvi1dUzrM5ZDj0j3NEPW+BScDalY8+YGebU+uKtQZjKPbIpVaSGpWsEJtXYlAzHELkgY6tDK54mTua6hjp7mDGjuju7W5Ygl5O27uRC8xaDkU0SILAr5pW8sj6d5mw00F6s49J2x3MWdNMbOje9UicGyzXHPuC+RZWcRK+UIZV2mQv/uQMfGk5qty0xl0pmmN7o3Zz+PdTPHaCDuxpHnQRxjA9EkMpJZVW7uR1ruFDBKAzGKQubOIIho0eLbYkgj59j7HW5JENHYte/TutmKG+524n4i1Jn/d4v6Jhlm4XJZYrOGq5FB0SzVIMo4XDXKb/Ieox0bL5wge+Fe2j+Swoq+N3hEIBRiFIkzGN38TJQqkPNmmNrHubFS+CrTMy/2ZsUg3PNSir8s1Hahl3MIFZO1LQSwJDy+N4dtTp/G34BQDoBQm7N1Sax6yVQuhGQFAvPs7qWoboVbLuFubdHPXYE8UBh+IxqpgtZ63pfdpFghA08Cjaya0bJo+Jok1zsTv1mHXb8flPYs/wOGL891Pr+QcO/9WIktxv5nif4LXAqRiGNlG9LgPHsTiq1ijEdmuqmwJRnV2oHz2b+r/5ab7NT+qIDuZ/q3DbKl1qY10XlJhk34gZL5fxCSZRItgrI+rwwBg6YqKThL3WJPLjqmUtrsOdGIISO0bG05RqZs/QOMpytEb+A01yWHNF0TjNvv8e5P7dQgJZouK5qRD60cHxRRm9konYQOQiyMagRGa9tuRIQoKSTCNJelqETop7KZ6P8P40oVZBUp63yZnExB/H8UAg4Sed41+NEzaOdMdZYQP/EVpB/z9g6qy1vFP6ey765mX+cPRWzqr/lMnbVkY/IMxY8Zqjl+KQYo34RyXjnZ2Jr/ROYjqSaMp7l++H/p4luUZOmR3Db0ZHPr4t81EANg38Z58cDFGSeoQav46QARKOIPB9u58VHX46Q8cU61KZEaNndARjakTYC3iPVXaND7Mo/dIjQoMjndT6GehFtYE3wisxt3EFc1pWISDid36G3fEPpnUqBNUqb+TQQ3H9QfLa6hjiLe/z+yzgR5JpZW92P/LdNbx24EFig33LCbyjL+KcUFimG1uEKbwm3MTryCq8tc4xPfskw0+rb+SsVw/U+/apvST19YV86VCvYGsyFAPoSIfiOXHukPtGaT/5nFtHJ/TsayCN2EQdp+fJYpxmffQgaUk/O86A9nt4ZmsLg4bjbZOSpZglNJNCOx+ZH2Kevm9+zy2oM6qMvQrQ3rDyU74om8jFznu53a8sKka072H0Hrne4VldTv5Zq16knNmlEEmnp5QjRrDD4oweZrvcfFZdy8rKamyGAPf4ahnYoDzj7/Jlj/sYz8vM9/4VgBjX8Vfe4Vinn0zlgN+dUNv2oI+vGrQUiOpeYSUpzLAcfqCDFveH6ES1V9naNghBNHEvf8ZD5Ey0ydvryPJ9QKb5WlJNfyT/wDQsDjkLVSSJruCZ1An3MmjqVxyYOppHAt0ZrtrzDTqzXLNNNPpAkvANEjEmBBg3Q5G7qKwsxu9XzjNhp4Pikk7u5UXyQ7pfkTLVto1SDAuzV92XW7MdCKEf2xQKoQVCxGGn3UBXm3oMbTsay9E0JZPXH7Yi2bNHpj74/doF6Ylg+oz3iItrZBOje9Y+DcjePTc2KkMJCB4in3//jhFcUKuUsKk2pvNwgSKom+TwE9PVd8bYsGAuBkEgIMimWrzhTX5T8ZamXVVYZnBfyG2sIsbwHWcan0T0nQjZ4ufB/8nyIf/pMJnjMRDLqdskRr+m5+yXNjFt2wpVm23fh62ejqdC1h2yClshdc4fQFeqMpg+PrTv+G7QKE9cu1K2UGBWXu7Pew0syzqUFykANPjVHqRw2HQCHknOgAtHokFHnknH7FgDhWYdA806xtr0CGHfs1uDrL9Z6cJHvGJU1Z+gZztDnFrF36npZxIIhU62dCjlOna1KRP1ZYe+5o88B8Ak1CKMAJaaY+Q5DjCR3dzCO3xccyubt1ykadcbXzKHFpIw96/mzAFvUxpXzkdjZvXsXy/MRJIE3G5lte4cOJKg+cRj8aJJGRSNbU201yTS0iIP1H6/mYoNBZTU2VmaUUhNhpmgDvamJfBVzWDWNBbwTe1gtrZk80H5SPxOI22lcVTkyuEHZ1gK7oCEMoafeoicpCuQ4gw0uKOLt/ksOrakjtLuCAtHCEjEBRuJQV7V7uuV3bjOfDuX67+Peo1dO/pRv01+bsmaWnNKP1oRHI094OU32xZz/5fvcPcPH/Ts+63tI8Za5QlUB4zwqo0qW9iiZEh8E5EkWQbFyR6nAl+wJwQ3OK6Zi/spRPChoWG4lThKpDx8gpFzVuVwxTf5fFX1Mp8mreDl9KU97WuNao9SoGsg7esF7k54JOrz6EaC4XmG2c/GbyhgcdljVHYd6tm3tfJFNjXK6ff17vKe7admHSK92UeW9RPWNXyCrVkJ3RpdqYhGeQFgQUuwij8q4nSrjRyT7iCWdjWfS/KMZUS7yB22p3h93u1IIngd2gk9u0H2ZMQblMk3LriLOWtbmLq5DVO+F6NdGVC83hg2bTyftWsupb05HbtLO9lKEX43SSfQadfTFmfAa1YbqvlVbk5a14LVFZSTEgzqE3QWq0chb6H6Xfh+mML9a3dksnbNpWzaeB77982io/2nlxoZOep79tvz2ZAgL3Kqu1P6BYF7hb9xsfAxa2vP5cHaxxECao/YRN9eHi57oefzD/6ZdHYq441Ogok7HBj7EO2Mk6x06eG0mXZ+O8qCPpToY9Wp388j9T/w57RjtHgiZ8jmbvk9SWWzya2Ww9NW/SactZE9sv8O/GIc/cdCR/ZU2W1vDsqDzkmhtObffLci6lERoY9sPDWl913cxrxTK0oJ8EaaOrwUCJskPL2skwOevi3/Ieddw+BF12OMkV2137f7qQsZVHF6geFWPUOtenLCJs7O0KrtCdxRyd09CJW/lsToxVgbvM/T4P0blR1tbOm8gJaAjU3NuQRDo+a5BiVsM5e1FKEYWfszCzB2tKJv7bucRCRspxiAgwlZrHXMZn3RBTT3UqkOr4/XjfAirgAx2U4SB2q/n6g34Cws7vlsrq/EVllCxbepvLjlOva9VYi5qRYBieq1GexKS+bbIdkcWDqAko40trbkEpD0rGnsT23IQKtYEbnPZMU0MG5vI3ZvkNsyV/NX4WJNG1fIy9eYakbsLW0MjGvfy4pkeeIdlbCOO/X/5Fo+IAYnVwlaUvctxs8i3stM79N8ET+DgCey90UUFQP+o6Da212ZOo8X6j/lsHsa02JLOSlDrV/1YEMnqYEAb9Vpdbr6Qu9svWSzwk/qktQZQNVW5fd1Btp5Nf1jjliUzKjrCh9WGvtj8DbIGWAOfd+cLQCbXs7msobCne1+pd/6RA8VzgMsr32XAw652G2evY2ieLlNktlNjesIddVKGCb94OVIYa94bId6sbR6+TBePzpBlSUv4Ce9RNs/ntmmY2woGcDVpF0ApGU56Fchv8+xho+x6uRkCZ0/FML1iaAT2DfYzoW6jzXHLzxwQLMNILdaGzra3jCCLWMT2TEqQbOvMseKBEzaLqvTHy6MnsHXQhJ3Cc/3fM4+ehR/FEdMa2suu3fPx+X66YXNi4evIC5T5iiNZVvPdp0oj6XjP6vm6aceIfMO9XNtrleHuduJxd6i9aSlRlCOT912ORd4piIgsDrNQItZx8p0I59U5rGxOY9drZvwBZVnK0kSAzcvZXNz5GLLNscgRlZ+gz6sr8Tk/S8oH/IL/r2Im5tPR+pHpI9x9Gwbu3cjv3n5fihfyZ7WNdEPDsO4fbvB+19zTcYlP0JinUxIFoIO3jnyZwA+TlrOB8nf0hQyYg6H9ImqIqwuOk7g0oI+iD9UpNYjwc4Iq7twPBsqJrkyVLF5VB8VvnOmvtJ9Fc0+m0EehCRi8UsDQfSwthbePjIWZ8AcMf1cj0gsLjx6IzXxKWQ6muksGkdT/5/OJWiMlbORduz4FS3N+bgtWvLunrgivL1CaVIvwyJlaBt5s9WrsWHx9fjS1EaUgIQgiuicHsZlbkYIm7HEgI5Diwsp+bg/kqh9Vp1Wf89ZmvZGzqJyhX4Ho07EYUpQ7WtJMLKrWAlVvJ11pub4r3bdzO+Ed3h55pkMdsrfJ44u7uZVTtVv0bSPhgopgzez5+MfqXgsMlCMmQ3+gp6/M5OrablJ/m6ioOdovmyMLmu/i3KvHM4MDwEucrXxY1Ut4zwyUTUYye1wguhWaHYElf77qekPHIwZrGl7wHqMf6TIXp0r9siZrM80NPFUhRXRJ787vp3aEO6RDsXTmWE6H11IfXpy7EfMSS+lpH0LJe1bWFGraPK0eGs5KfMiZkxs5dw8hVitFyTOz99NxXYzieXzydt8HwdatlK/Q/Z22J0BJuxqZ8xuB679dna/rnwPd1B5hhLRPZ9Gl3yuI59pM9vS5jayfpJCSLbotofOp3hmrF4Rl81AcEArwzjEAMqJo5MCKtFH8SsntftBkmQ+4IoEAAZao+t/NaWY+XFGCiunp9Aea6A+PfL30QdEPm/9tYr20FUi0LVDMRj0zg4Eb7hxJrB71ynU1Q6ksTObDcgyFfXb+04MMIUZ225RDuuddHAb1679gmu++JCh+zYQ43ZBUDFyOmtsfGNSh9nbiUOKYBb0JmYDDOr8EZMke/f8YW5TJ142NOWzq83CZ5XPKNfzt4b+783f82HRbUTAiU5Qax4J4k8Tbf1X4hfj6D8UvkpZlddR8BjZU1rJaVHXjFqbUMbzf3864rFXfrGED39/MzcveZvfvPUSgvOndzAhKF9PCJEfJV0sib54Ju9JJrPrJhandPBhzmL0QKlXZG1ngF2uIBKyPkk4vnb42ekKsF2o4ocOP87QaqbLVsXq6in8+ofnVO39Eqzo8HPQHdlI+s4oG0VdocEuxxR9guqsll3NQV+JZl+evUj1WQzW0xrvQjgOMTiIDkvQT3Z7M0nurtC9HH/V/k7mGT1/3zHot3wyZhZVifJk0BiTEPGYH4vG8dZUtbhmMCYeX1iB2NjcLgQB+i2oRG/UMSejlBlpZfjjtIWFuzEybj96y/EJ3d2weJUJvKMqcshs+6iEHsL1x+aHerZvHpPArhHxuEPGU/H+DpYlTWbmuLc15zi9eQ0Tj+ylXt83/ygSPq6ayhzvEwBcol9Gv1jFIKr2WzFIPpoMAjWS8lwGppbiHSb3I59JvWL/uk1eGFj74E+tqDvxlW1dMEH1eVKo5laiX/ZAXKH/jicD53HM1o/d8cMRQsZ5kssGAnyQKpdnWqj7hr1llcxxuZmn304abegJIgo67vMo3l7H+icp69zT8znQoUxwaaajjEqq46ZBq9nVupJmrzprMsdyOuM79mu+Q46tgzsGrmdkxZesPbCe/Y51NOxIAUli0naH/H3aAxxel4cUxti3GZQxqFu9HyTiDW8So/+iZ19i5Vx8nVoy9Om5+zFY1L+DTpDHJo+oXphM2NlOY4qJ0w0/cAmfcgtvUYhWODYcWXWygbIx+VwA4uJOjB+zLYx31xtTNjn4577fUb9mFtdXycVbvXozQcFA/hBZINFSX4GlrrznmJHOrVzlW8yBtbncEfccLwh3crHwMdurxnD4s3wsWxOorhoT6XI9KD80nhu+bmJQo1z5QB8vG2/BEG84/kM9fqeemvXp5NkUY+lttCrX3Uh2+Bm309HzOcHhx6LfiYt2AgK8VqgsRD6fqOgtjUuqJsN8BQbuwivKxruARIJB8aaJ0rOkmP6CP+YJ1TU7Ahdw3MrCPyN+MY7+Q2GfIE8OJjGHuDwP505RF7rcn9vISzOP9nx+ZJeycli4ZjnpbS0sWvk9QaMRKfGnk/2sjvUEnP0xdFe2F/S8UBDEmXAyu4dNpLrgar5JWsuWfu/hSNxDa1BCBN6dHctfzkvCHTJYLImH8Pq20pz0Jg1+HW4RNnYFOSDUsS/vE/5xQM7S8fVa1XWJsNcb5FWnB3+vfQNFeXDtfm30fYTW2o/NQJKCEKFshLcXWTrWYCW/S+Cs/NsYnjidY13jNccAVKAtkwICP4q/0mw9Y9TfyZixioyZq/lbvqIO3G6Q04O/HiGvDD8ZOyvqd4gEb2ZBz996Y+j5SAKx+V5iR7XLYZNIqWhyQxzHkjCYzz7h6xnDioR1Vtlp3p8Qta0njAe2eVQ8XWGZPyP2d7DceDIIAiX2yLo3xc3HaI2Lfv5IKPshhaHryzgqyd6yPxvVhNAVwVG87p3CKeOX4NUr9xO0yRNu3S1+Vo7prXSu48f2G3mr8S2cwQRa/Hk0+JT06HWN+ext7zs0HY5MvYMF3kd7Pk9OlXVpZrbI4aEhQiX/ND3KEtNDvJP5ErcPWsfbuRdz257TObtlDo9UyLo1BTEO1Xm3WG7iqOVSLk//ke8XTuD+ZJHX9V7uvOQCanQ2NjXtw73tddoOK+GfVGM5IHv5TstSeEexBg+3DV7H8aAXOmjzKcbn4MNKqO143jRdiANmFEqJNXxCgvFVrLpVCHQi6r20Hk7oaWtLdzHy2oPE7NVOkmKYB0qS1AbVrA2tOJLkbUaCTA8LNfXmCAEUlTo5KmayToi+kFwqXdDn9+oNk6jc84PHXkTXrHiI2ircvO0Zx35zIXp3F6amGiw1R/E2dVDSGI/Zp87Ie/+s62lImsEy96+4qGwFe3bPi3pdr8+KFLNetW3puefw0Xnn8u0pp2Bfo+fgu4W42+3E6eV78qPHo1ekeJ7gOjYzihe5lHeCMpctvjPApK1t5NS4GXZIvr+3ikTmzo6hwaq88zuKRvX8PSO9HIPQTIalBL0gP48BsS202ndRlv4H9rjXkm6V77UgoPxG7f6LgWpafT8tMeFfiV+Mo/9QWIZ2r25ld3TvZMGy2DIqsorJbmukqM3NSQ0B7H6J/LpqEgQ7lrFX0Zk+kEeuuZk/vB7yzEgSRo+WRzS0ZBcAF372KpMPuYlzBgnuHoW78lpmbFCEyt4rSmbFtDCFW0lHjN6IzySvfCWgIk2+37cWxDM8vZqgfwl+51paD7bh65TbOUXY54IjtfLkqJPAEyGE9VyCh3/Yfcymk7vi9tKEyOt4yOu3gz9NlieZk+jgZtSu2IB7k+qzNSlyBWuTXp1VMiJxBqfmXINRZ2ZYwhTiTKdqjukQB9JMZI/MRp1S06krcAoN3md4cVO/HsJ8vTmV7bFD8Qt6Vicqq90PxqvFOhfuWqs5t+3wLs020WBCAqTQZORpNeM4aqA8z0qboE7jDXfd59sd1G1Jwtep6A+ljz6xlXLobFSvyyC+VSS+3U9ci/q38xsEnFY9+wfH0BWnhFPyfhBJagnwTF7fJST+7HuaaU2RlaujYdHtz3PlHx5n4dHI4eY6krl6+LsMaHZwU+ISpnmfYa73cQSzbBztKdDhjp+rOe6gey4eKY5PW//Chy3P8lHr43hE2bDd3KJWeXdFyMDrjesN2tI01ZZMBEQuMKwCYIK+BEGQ3/lOQxyPx4/hmsZFjHYNod0XmQcI8Kd2ubzId+PiSe23lB/qrmf1ounsS6/EMu4AmRMi8+6GxDdxUcFObhi4iWsHbsUQSQEwAgbGKn0mJ6zchMMnGy359jZOySyhMEYdRun2HIWHUJJNT5JqegBJkGg7onjwYjJd8uujg7FLu0heLrJruLw/XOFfjJC2ntmoDQUBrJ2UxPYRWl5Poa6Oe9o+JbEtsnLnEUEb7gxHNx8qGq71PEt+bCXBRBOPTxhGIMvOmuRpCIC5uQ5jhzw+7mjLxhMh63jNwJFIwF+4lbb2dNauuRTjQW24ze/ThvlEvWxkdCTEUzJoEKPL6wnEJ2ILaXO5sHK6sx/povwcndj4ltk0S6mMDSjkebs7SOGRmB4l7X/m59NpjGwM61AbtJkW+XfXCyITJi3m3FHP8NbMNMxoSVg641YEaQuJtp+WnfuvxC/G0X8owjOzOgOyR2JUl/zyzThYyeK/BrjUFcepDWuYVfI5BmDVj118tCeemJMfwpg7iazJv2GsUEChv4OCqr1Y2z8lvvERDJ1HVdcqbcyg8LPN5NRX0n+fg4yVjQghPlFHH8UMR7U8hbF1ALYymejYHKt0pxaLjj3Wj+kMC8F4HV8TlNysH2KhJiEDX+1JnOwycle7lThJ3RU3mNUruM0d+ZxFF2/jo8MXS7JVHkh8wC6CvBAnv+Qpwz8j4NmA37ms51jHscirQbNOPQDl2NWDX1DSDqBt/qsingvAj5F3WMRGRuMIXIdfGsDisse44Z2/9rQ5bcxL5E5fgdOghOHabeowVaKzg2E1aiLwvkGjSG7bptrmzinEnT+YZZt/ReOepFB4Q2Dnq0U8h/o+bVWKoNw5IR6JJCpEYGOMn5xpJ16E9tcDdzBuXytjd7czbr968vMbdWwZk9DDxXA2DOHQktf4wfEGC/K+pdKayf2SXCB41tg3NecGSOtFUu4NX6d6RbnjwAUUmco4v2wVN+xRk7c/D0ymzHwRk7O2kXkwlrEtTqqlNI5IOWTYZbLxklYTR5N3Rb1ee1DxEHUGk1kXHEaX3k6lJYe3jo5lV2sm75aN5ovqIkqaows/LtQrhvtBr3zO36V+SZnlkojtBX2nSnc7wRg9Q68bT5U8zk3Vci3F5TuuYbplBqnGvsO+mdYuVegrEoICVOQo78yUlMihqmSzm7uK1nJO3j6GJTRyZq6aCG3Sb6dhyD/oSlH3Z5PuCDp3LN52xdOdProFnSiRPdFBQrqHUaZWpAZ5cWISFD7UHvtCNo9J6PP+uyHpBBwJJtZO1HLnxuqOMmZvh2b7PUSmMISjf4WL4jVOmvYl0PqFNmQ9O20T909+Gv8EOZQeKE4kkKAeg2rcsnHitshePpPo4y9HnqG/q4oDWf1oiEvicFour848k0PpeQxu0iaChJcpCYeAxADKODxmMBOnVHFPxqfEhbJBXcjHNOjUBvSV3tkkSHaafH+mM7CQas+ntAeuPO6zOFQ4HHuvMk+L8vZj0gWQihXttbWJkbmaw6c/z4+JE1Tz4L8bvxhH/wsghibp2aN3cOruo8T4/AjAH8te4eGGv3O170dAphz37kq3HPExvPB2nOLjxHR8igAktD2kaiO4gtRYc6iw5vJxrEilUbH4TX0Q4paNSaGgIY2AKPLleDtvz1EbE2/nKRO0KOj4buaZPHJBNj+OtPHPWXHU5MQy2qd2hx8zBGnWiWyyRNfWONJW2FPwsRsuHbRPf4mkwXImRNC3t2efzlggf0+deiVjPk52T/hq1C9m0+h9Er1UzFneCcRUl0c8pow8vmcWIga+rpJrlsW4uxga7vkRBOze6LUIY+srmVh2gDi3srLeOWwiyYX1qgCjaLUTtMVi9cVTvT0PMSC/zt50tUcjpmQnOr+8ik41d4c/1N6BhP6dWJIjr7R7Y5TYRIKhmz8g/5u5vqWHeOozCoihDElJFKharRQ4XrhFPs6Km9ulxzhqU5PGuyFJikcs2v7eeGv/H3jinuvpGq549h7yX0qs4EYQYM6aZv7Z/CK72u7kPf3f2Gy+kVF72yksddIpCpiC8gQhGhx9fv9D7jlc67+Lt/Iu4/PMX1Gbej1Hun5FV8DMkc4UEq0uSr9UJoDeYaa/+2XF+RxDC5f328ZgS/TMt0PGWxklKN6iFHPkQrndECSRi+vVulnXTInHot/V53EnAgGI7QzgC40y1jBjan3jiRcfN+BlbPkSPOla0eCkOoUgLBhE9EaJEfvUE/Y3dtnTKs+bsucvtfVsPLpUDd+xNzZ09eMx7uMx7uPtbdfzdVoU/k6og03Z3MqcNc2kdDopoShy2zAca06hZn0m5yYc0uwbVtLJctThMN+kVJ64Xk50SRvfRMH8KrJn1uGKkY2jb3bcwK9rP2XDVtl43lA4nB+LZB7lqiFjsPhPIdio3FdV5TBEUfa2CEgIiCxgJcUc5Fy+4hI+4w7ewJog/3YXIJP8DWJkb/ikubKX1CuOoj1wDWDELcoJAYE+FO++nHsB09IqEBF4oPAmlqTPx6ATuW7gZq4u/nNPu1RfZAV7r87MdWP/gt93YmPSz4FfjKP/BeiepHWGsKwHi7I6yJa0ZOPeGOBRBi+hl7uzezz5IkNbFHJ56kmY1kUfvH1dS9k2fh67+ptVXBOAmkw5zNSUlM5T1z3E3l7qsF9MjMHf6/362O7jrVgvwT4GuSuHvR9x+6t7r6Bhn9bNLOjkF1wS1ffX23PUG6IUZhxJA/BJMiclWYplsFDQ57HvN71KhxCSEQCmh5EuAcz+6EW3zE012BuruerjsMLBKZncWfw6r8w8EzECYbwmPZ/Fp19Je2wC/iS1JpAgKkTW2emyR6qfvU3VxmAJHoeGrmDOMO3AbwhKPeHD/UWKkRxwR85sS6GJ8WzhLeFiXnOOxBWmvyJJ8EnrIyxteQJRijxEmeMik6QfP/QED9tko7RdsvFmcAEzhd1UeUfSGVAmgMygnnTBQWxrkI9WyBNkcb2c1u9L2BD1uwPscZ2OK4zv8prJzoTUUxkYN5ZFuXtJsnTidxrYsziHAs8/GexVlwE5KMmctVi9lxRL3wW7zXj52PwwScYnidV/gClkKH2TPI3+077TtC9fq+WiHFsXuTDyT4VOkjO7TCHD2qpXjKNE80+fxIqORFZm7kZGcSdDlz9CskO9ULqv/PWwT8oAklg1n5XT+s7qOlhQzB5hDHuEMWQFPGxtnEkVWvK/IRD6jl55rPx25w1YwjK9hh7q1BwDvZccaqS0+tnA9Ij76gfk85uxr/DH/Ce4vegNvj7pXOpXz2S4s7SnTbLPQWOvJIt3My4nXlQ8z42NcoKAjiB/5Bn+yLNMZBeL+I6hyOcyRghjGUNab/N9ihCu22DSqIfLkJ95mzE2wj4FQ+Mb+STtZF7NOY9bh8jlSWps6med6+m7+oP3f7Cg/S/G0X8yQh1TDAvvDFxYT8qwTjLmqpn9boO2WGg4/l5+L7qwFWx65R/BJ2I44Dj+bUQo1dENCQFDRvTsCZfFxtvn3RJ1/wfTe71gIVfEKRi52xA5UyHdJovgzcv/UX2oJNKwSRFRkyR5wBZ0yoCitwRILW4hfUzTcT1H4SnHPnGQat/o5DnEiPL+mT5tAUlP7gCcA2SNIXfuIATg/C3KSjmjoxWTX+39iulqZ+T+LQiAtbkTY1c7Fo+Wx9B7WA4KAh+edhmVOYW8evHdqn1noZ5AM61yyGBghGyco/WTEAyJgA6DZYpmv6TTY0m8U7O9L3TWjNZs+3PgN9ilLtorJtKw40L6za/FZlD6mFeyU+8voilQyNau83/S9QYGFM+KN6Bjct7vKPdN5Iu2B1na+mTPvu8cv+O9phf4UZpMTaoXXZjhnNV1/Pphv3FYOc1pZKxHT5wEesHAmOSTKYhxYAgJtSwZNAcQCKD2jt5k+CLCGfuGTb+KeOM/e/Rer9ffhUtvZXusuu+ZIxRP/e+iS4q8iAifN4fGRy910o1K5/HLWSQYnqcwRDhPLhuAJPUteKoLq52XVHEKrcfu7qM1tNrCvKoBeXxYgnZROKi0iymb1aHdvx96hJt4nQf5Cxm9+Ez6Grn/DI/vW/+qNpgXcfu7J18DQLNO9jh+tFv7np3ZpNW3+/NwC2anEvI1dGUyOtCP2fy0IvDGUFgtW1SMy7050TMxRXTsiIteOBegyZjIzUVKWZkgOiZPVBa2giRiErVzi1unZL5J9r4NsJ8TvxhH/8FIOF3unEJYppXBKpJa3Iler55YJcsz/Ghd3ef5vj70Ah8cfoyJ+xM5dZ0L88o6DFXOPo85Hp68/mHWpEUnzb1whbagYTgq0pVjO8wiE9GjB+7HypmBBN4b/Zqq/Zy81aTa5EFr5J7dTGtRsjLGO9RlJARB5i4YLKPRGeW6gMWXHyF7SiOZ45tJscghnQPuPUSGQJPvIaozLeyc+Ql7Jl6j2nuBbyq/9pzEQDGTQYHIqecSEIyRjdtEdxf9mmT9lMlH93HbG4p7Oautkevfe4J5a78A9AgG+d5mbNbWDTsUVorg5Zln8toMrVAkQHLTYUaiJvB2k22Lw+ojFZ4mp5S3d+RgLMgkPXcCHbl6BF2C6lhr/G0Rr9MNXYTiwUabljv01Td38fjXz1O3+WocpSdR8tGrHOlvIyCZqPCO4YBbIUZvc57X5zX7QsAvMG51ASUuOSPQLaq9WO3BLI423o0nbhATKpUJsqG58oTOP9Rv4CSPievarRz1BPlk1APsHB5HUAcPTriS94rmRzxumK7vtPLjwWGIwVckG/yesInkRHD403SOfvPTVJiDFeALRq811re/RME3tX0TmgG5bETuXnSItHniMAjRPQtLTDN4ZKTaaz75aDGiZEaSlHGl3X8ujb4H6AqczoWH5/Rsf2emHN6MJMOR2eTr8Rp1Y0HLOhxCIkeEIdw++B7VvqGl8qIj1ujjriIloeKRgqtV7cK5hn1hcvtuzbZglOk6qfxU7FVDce08g4W+8YwN9Gea9NMSGmw6+Z51CLQ2tNPRFWBPjjxmnj/FxncZvX5/CS4f/qhq082V/2T/ekWupHjKZ6r954x8mgR/BzNbt1LgrqZs3XweKX1Gcy9NRmUxa/tv6Ij9d/GLcfQfDPukTFKuGo5+ypmafVkWdXmKJKmTJwoWc1XhA1Sboq9eEoKxDK6IJaXDzHk1WhXZaNBXKC7w+atOvADr8RAXkuCfbNdzicXEU9h5Puw9LNh5F2N0SgjloiHyPTcfSMDTamF0h2zYCJLIRIdC8My2qStSm2LOYMLpBtL3X4EQMCGEidI5upTJqs57hIohigaHVxxDycAYRIOAOd6vUnwFejSRRgcip6X3roU2/8AWrl/9GcZQqGvG9pWY/V5OWvdVT1jLFHdVj+fG7NOq9+4sil7NG8Crl6/pa+6gug+13QFnlDPs0sPE5jjxVCYAcIvxFS6JeYJYQz2G+Isw2s9Abx6POf7q0PdVh7PebFIyATu2aVfgQa9WE2mu28RCl1peYnPJ71juuI2v2v7Axs7L+/x+J4punaBj3sl9thveei6j6pRJM+gvw9tx4u8GwD6PiMWTQGuSiR8npdAY+/OteM8YpfTP+wfcSpvhxK91401/ouFMxTN2nBrSMgQJkz6y97hq0ghMusghzt5wBsy8eHiiZvu2Fi3vbFCwhckegTTzb3q21W5K6Pm72hXHUzmX81HGfHYmdIfWJEBimfdRuoJKKLEzeDk+cQKOwPWAkRFt8v36jKbQUToOoi5n0o2ne2VWdnNklqTPpy2oTOI76iJ7hF7PWURbvFYN/L+CG0MkexUkCau0j0llazi9403SDS9iEKpwBWf9pHMHUfrQF/En84lhMvM/lbWZjsbquX+klZlzYvgk28jVk2v4Mm2m6vj61TO5v+xVkgPRKxFsTBjNpi0Xsnjv3WzacjEW0cdQpxzmD/cW5Xnr+WLnTTz6zWakE+qgPw9+MY7+gyHoBCyDEok/fQTkageVcCSE6jbVmZq5pvBPLBp0J18naFPCASw6efWS4Wvk5rKXCEZReA2H8VA7yV8f4q6X/8DY6siGQDdOrYnu2l/0zT/4zcv3c9a37wLgNuk4Oc5AmlHXk5lQHFBP6M+FVvzZMYpqbcIemJ8/Sd7uqsIiqo0IT9BJhVV9H/Zdd2CvmsmAVX8nplHhPzUl7KFx0AfUDljKG4P20JBeQku/rwDoyJCzi4J++d72jvptxO8Vi5Xco1UYW9XhBV9yZI+SuV72TkzcuoKb33iYzFB2mmDIRqePRQrKWShClMGhNj6ZdkvkVeiXI6f2/L24IqyYbq8U7ZSELlL8HurqBrCrdg66MMPnAr7AYmpAbxqA0TYdQReHDj83ZihCcZ+3/gl3UCEeN1Wq1XZXOheyoUom5e/q17eHo71lBEe92lAeyMTsDZ7+PHVwGqWditv/65q+PRGZ1i7EmNMRhJ+ulWKK1Rp6E+19n8e/6RbEoMCeN4ooi1VPlkc3pkU5SsHLhyPranXj1/2WkDFzNYfD9KEOxhRSNOVLfjfwDlXbFmM8C0ZrJSwCaUam+JQsr1YiG1YSSkZgZ5U2rFZGDi/kXMCHI88lvUDpVx+Uj+Spg9M07d8old83d9DEUwfVvJsNzVrD4rThh8gvUmtVfR4/hSdi5TCrRScSE5DDdI8XCbTErCbDcgE5ll8x33InsaHQpTOglskAmFevjAv1cUm4jSaeTriKa+Mfxt8rBFpiL1B9HuwsB2SV+j/r/8RK5rD2m4lUeCMTml16G84GWU8s/O27WnqRSZ7IoS+zqITs1ptHchj5987z1JPikz2xlx2RjZCj6xaQavojIFP+Fo0/h1TzTdgNWrJ7X2j0PqfZVilks2ClskhwGgRy3SIBQeC6oQ/+pPN3IyEQmWdmFdUczAkd+/B25mMw/aJz9AuOh8u/gkuirGbvLsUw6SbVJpfew/OZH/Bcxj81zU/LUaouC4B/hDrccEnV+5xV9zmzHOqUf6chlv3D7sCktzNln7YAazd+f8DDdXsje6/6Vcp1yQwBeSXqNwhYIpL+1LjP/SoX++WVjNUdZH5WKUMsMofk7IavuKVFrW00MfU0rjKoB/WNziArOgPoRDNZe6/r2T7ktCO0FXzPeaXz+a5iLneu/gvNhZ9SNeZJ6ofKqeYH3huIt8PI93Hz+Kb6dXpDlEQcvgaNp8ifFHlSNLUpRlT4SyiFODOSJBMR+1UeIRK+GDWdDyZGFoJrjk3A0K5wMTyxSfh1BsTxJloTlPuburWNcbvbsR1JYLZvKw+gDJAZNHNpgjokOj1O/b2rfSMAgXeti9g8JoHsBY/1eCKCfguZX59O/0b5d3aZ/+tDzRuN79A53Ez+KTUcGyvff6MlhkMdyrPd0JTH0U7tBHXEruZNSCcSAtJn9oRkAVINMD1GT3oE8cDeeHP7xTSY1GGr045tIFDb9/ff50jDGbRw0C17UUrFTOZ7H8UbJm74gyNK+FoQ+DR1jmrT9PH/YGecNrvqxiq19yFZ6ORmn5YTKADly1KoWJlMZ7WF6nXyGFG7JZ6DH2ax3jCdhwtvAEHgPLPy7m2LHYop1s+7/qGsz0zlz66zeergdBx+9bu4z6F4r/ziiU2ALjoZcEDOQq1JySbGGwOSxJUNrzAy8AQGtBSBSEZCtU35LZYNHc8no2fy5chpfDFqBouG/03Vts2gXqh9tEfhAtULWbwu3MjLp/2WN069XnOdN7LOCv1lpsH7DK9lKguLweJ+zm//iMs2fKs5LtOrpOd/5Vdrb11XvZSZiTHMaDUyrn0fdlFNWM72NnLUGkmkVsY23194lQt5kDtYHOJaSZKB/Q1y8seHKIaZxS8x+Kiikn5riYfJnZ8wzbFLdc5l29Whw38Vxm9+FNH536N9/Hfwi3H0vwUGEww4GWy9sjEm3wwxqXDKIzw7+1nOGaSWgP82cT1xYVLtACa9hUX5d5JtG8jsjAv5eL0Laao80Vji/Rhj+vHVuVeSnDaKa3zqyXlZrpHKIUkcqYs86b++2YVFhK7YyFlKApBszuLi+HN7tnWegM5XR30Q9yELuqUxTNkqZ1p5wkJjbqfCPViVOo9YYxIxeoH4XkV3vSfopfWKelwp+5BCWh0Bn4HvVs/jc8s5dPpb+Kb6NSq9AQ6FSpzoBB3DEqYgRCAY9kaCGJ13oDPK4UAhlBFiCvi48W05tp9XfTTqcb1RnazwXXYkjePlvKt5ofFqDgzWhrnO5jumoDV2rTo1GXyIdWXP386g8vs21ZwaUsEOUrL0NWo3Xc3B7x9THZvmCPL9qBPjW/SGV4olR19FYn4n+owA34/vx+Z+xdjSXXxcOYxdbZk4T/GwvX8Szx5SvE8/BMcyspdUhIBAZR/lQFrtOp6/7Dq2DlCMo6YAJBlkz6b1OPbRtPKZbExT86Su2/s5ol871D4bOJNPfZP5R9lovq+TvWD9TTLHZoCuju/N92IW5P7kFoz4R0QvB9NhjOW8Ynmx0H/ad3i9kbOpzmtZptl2QMqP0BL6n9ZIR6sNEOistnLww0zaj9nRGUWGCF50UpC5LerMvqzGavJPrqGlKp5NPw7BWhG5IPP3dYN4+uC0kJdJOCEBzcHxEwhKcr9L8rcz1/QO9WtmcVVt9DD/33Mu0my7uNxHtktkcEcQp9lKp1VRDt+SPIJbEv7Q8/nh/c/yql8tBmvd14b+mPr5VqYWqD9bMrhv4O1cUyobGy1k8Vi+YkQc3LiA9tYMbH4vJx1U6ADx/k42bVHCcCYxqEqZvzYph7+v72KUI8hXu9QLYoA3D/yBQW6FM9fqv51qzxdUe76k2vMl6eIIapF1uA4ykB3edznqXczc/PWcqnfwfJhx5BTsnLH9ICtuvIjN33dyeXk7GfrXePDYiyT4FS2owc4y1T18sVN7XwCGExgbw2FzNyKYfhqn7l+JX4yj/204R+1q5iTlRT4p7yT+OPmPqt0T3R5i9d8Tb1Cv+g06I9PSzybNmke+S+KMVgnP/Gwckwp46YJz6LRb+efsOH4fqz6fvsrJe51+WRdmUyMERHQNbswr63hh/XpGOeSJ55wqxU2a2OrniuUd3PSlPFCenHUpOW7FSjkUe/yVY6JJXmmaBImnDk7n86oivGJkkui1dqUS/QjriXXxQ700TDr9aiNi3+DRLDnjKoIGI6+ffxuPXHw9ixMMNAWU7zE0YQoDTNFDPZP9gzBKemb4h7J3sJzhF26rGQJBjHa5jlp3ph2A3ePkNy/fz3lf9frtw3D67nVktykT0WdTczDaT8OdWYDDEN+TZu81/1Q3tXyHFqEDQ1hphTJxQM/fQaPsKj/2jWwQdVROxOBSG0Ltdh0JLepaXdvMAZ6Mj5yqOyX2bdXnxiR5kHQ1DaD0y6epXPlbsqeYKXcm8fnsiejsIomD2glIevZ2TeaF+k850nR/hDNDSyibbHaKNllgydQY3GYD341VJswUnXKPM2INeDo/psSzNOK5AS5wKobVQzs/ImbEhQi2FHa41BmP5kw9d4i38FacsqD5oS1yBpBV8nNTpZzpc1vFu9SvnskNvbxAaxLHUTRoGsN//IT0HV0gRs727I0KKZ39Yj6b9UM5Y6TiPTSYJYoXVWFJ6n6X5T40eFE94/yfcFHd17y7717VuRL6d1C9LoOgty8CtwwpTJnt7WNj2euIHlZs9d/KqKTZTE2/AoBcbz03V31w3Gs80v8a1TsmAZkeic/XOnlvo4tkr/YZLR2heOEGi1U8FTyPQJikhFTjxHikl1BkL7HCvFCK+syQ53SJeWNPMgaAKRigvlFeCA1zHGah7xMmVNSyfKPaCyMAP6IY/KZdT+Orimz4RoSkQ57m5Wfdu25kmpRIpvEvAMyR1CVHyhMyCZxiYvDCOoz+g+hQQmKJIePopsr3MUlqo2dCxz5eef335DSERGVD7uSEgFZcMxzuVrnPiMBDyYlsOTkHwfiLQvYvOFH0VxPhMGr5QjeOvLHn77OqT0MQJGINn2HT/ahp243fHYysU9JsSuQT0wM9n6U4I7pub0m7H/OKOky7WhF8Ip6uIv4eCgfluiQMBx3oj3YyYU0ruS0BEp2Ru9tN4yN7FJxJirLuvOwrANjUkkdjUjpbdYMocadSkd2fYKiG2Kk513B2wW8YLSgDsy1CyG5FhzLJe2Pk+lYPB9XCmM+suY4jbf2p7UrH2WDhu9lKHbK2xFQ8FhtfTrDjFJWh98e6D3DUbsPYpl0tT/YPYlgwl8u8MzEYE/hu9tk8ee2fePL6PzOyshWjZObo2Bk0Z6zDa2oFSUvE7stpkeNo5tS96lX891OTaIs/GzHsGezZM4em5BNfjZ2f/msAfp2uJknvM2bgtsqDnySIuFr6rt+XULec4oNq4+ioIYgkaENdV6ReResp6yg8XeF3+aUY2ismULnydz3bGnZcjM4gMs66BQBdyOhZ0xWZF9aNwX49zxf/nXP7aZ+oK4IxXdO2pOfvi6aYIFBBvruqZ1tXhNI33Thp9FWY+s0gZt4jNGSpJ/9382SvRoc1noqs/oiCjq2+AZFOA8Afyl4B4N6Qzs8fj73Us88WdLFh68W8dHgXqcSyQbqe+rWzI56nN1ab7+B0318433kf6T5tdmHqiFDxaWDvIMXAe/LIU6p2Lx6eSHz/DtxNWo5Spz2O+tTodejcQSM/1Fmo9WhDxTWej3AF5e2RVOujodqchiToOHeqjVvHWPkmw8CZ0+38ZpSFZweZGT8/Fqc+wlslCGTMXM3j+VcSQE8SnVzgUwztcsvFnKdfiaEkOvk4iI7UjjZyO7VSHKND1IJuJCbWcab3e07ZZCRX0mbnNaNECwSh2xA5McPXJxVoti3wjWZgMIPLPPJcYtfLXuNCnVpg9AXjs4xIKMdgEcmK/Q2ZFkXUd1Gj7IG8uDyyLMXo6oN88PitLL/pYt58WH4fk/3a5+UNK3VijpXnlSsy01gaF8uT4+vp8vWthfVz4hfj6H8jzg2Jyg3Qkg0Brh95PacduIFLtz2Eu10ppqkXIquR9iAC+bd4ymfUp2YiWmQDROi10gofWu43VrN6gJKePqjSxWWrXsNBO7tMAQRBQC9EXgk4Izg0jvR7Rrm10P+O2ETeOe8WXr/oTs5e+A+W/Ooqnr72T8QYk4k1JmEU1F06Ep+pSwQx9F0rx/0VCRB86u9VJ2Ty162384cN97GvfVjEe3ZZdHgl2OIMsMsZoMVbQ5e/lXyHgLXXAGiVZINEQODmsfLkIYWMuiv/9AyP3PAHlkxegNtooiPxAEF/ecRrLtq+UrNtQIM8UeslSUXg3t5/MP+clcTBOSN6nt/elqGktkQXoOyNFKGN4Rl/1Ww/RCGiTjYyBdHIoc+ie8wkoKA9l4NJp/CjRb72XlOgR4ndG/qJjEKAWQl/p67QC4KA0aYIVdZvv4S6zWopBV9HFrF5BsxhZQrcuuMnF9gkAXfV1TiP3sW2bHU5DpdJ6S9dFgGd53tOStuEQajg7lEWHILiRfI7f0CUfHwzOIi3l4EkSPCH8MKowD1D1IV+Lb549BLEj81hyRlXsXXkVMp0kRXDlRP1vo78DOe2bKS/u4ZZdPGG6alIR6rwbhhROUdoRgp5F5469JjmMoZQ/bm3LziLMXP3EQ3uoAmjNXLo5OVLf8u7i26kNV5bVqMbXbYYHu2l2+QTC/GFCpZKwLMDI4frw1FukY2wuWNlI7I8Rs+GVAMPjLRSY9OxMt3Iu6EEAU8fPLKnC67gL/2vYazuMAd6GRmPG19TZfACXFj8eM99NpDMop2r+cCynq6LZOPGE8qOs/jVC1GXMwFn/TBSDeqSQdVELkNj0W1Dp1E7i4x00+3E6peSZru9Z1u2mMQr/nzSjM+RalK2X6f/SnXsAn107by7K96mqOso/aXIJYfyZrcy8IxGske3MqClgstXdPDrNVp1941rT6ZqrfybCqEC2jstyntjO07Zm58Tx/d9/oL/PAw7E4paQYhs2wqCQG7IKGpAWWnFGf5JZ/DciMcADO4UKYnTWilXDf9zj0q2LkpRRgDJn4zL6ADgM3wcQ+JYTreIn58EKchtBQqhMd0t9lRzbrTo6OcUafc1ER8itJZ81J9R/WDcfDmj5rrPi/hkurY4KMC2UdM5LUrt1AVxBr5y+9H7lYHwy/YAA9LLcJr03Ch8jOCL/r2ej4mu7yMBdX4JSVKOb/CUa4T1LShGobPXgOw3mhhSugeXxU5DfBJ2t4fYYC294c7qT2pXO9et/gwJqE1I5XB6LifvbiOkR8ltX7TxzEItN8U7Pxvz6nqO+FI4qC+kCC1/qdWfy9LWx7ku/ULV9plslu9TNLPLtZD9Nj3oBKSQcaQTjZSNPImiY5pTcijbyIAaH7XWXKoNAQ6bRHaY3YTLl7gFCYsk4JcM1M/dDYJ2QOysihxy8bbdTnXnH7EYvMw7fJQHsn/NRREWmxvMfqZ4ld9AkGC0O4ZxrWotIinMmN6fa+Kd+JcRBHAJv2fYt5MZ71EIokHfPj6aPZLSfkVs0bmYfkDx9lklmC/Ik+GrhSZeHWAGYvl75uUsqtjCJxmzOXtZJ2DlscQEANZMmo+5s5bvg5uYr9+GU2dBEgRigopBVr9mlup+EwMdtBoT0Ekn5knoxgGpENCSlV2ihWv8v+WwmMGl+uUs0q8hyywvqubPWMyANdELFKeOaMGeqQ2TtiQoBtGaOadx5ifvaNoAxLi6iN+7FULruRrPYo51VfDI7GSuK/Vx/QS5XzxRFfFwxk5cQp05BREdAhJSlPHxp+Cl3AupPzaTYZ43NPsECfSVXQTz5BD8+or+HKI/H6LWHfvwE9nz2BBSt7b2Gmu6upLJTXWSF6dOnvkIhev0KfM4C1nzLMX04AnfvyCIxBvfAREcM1vYujqO9/BydICdAYV/JN9dw+YtsgdTJ0icb9vGWN92Hg5cetxzr9wevc5kNxIHuhD0EnnNASbHf6PZH+OsISjpcAsC52VlMMKrNhx1/4Lf8L+KXzxH/1uh02vi3OFIy5cNiiFTsmCanOYrCAFyfrWDWH3kWP3v92tDOd0QAic2+EqhFfSTaM+11K4+x51bFGn8ttCK/fuat1lb/xGfVDwDCCyvfbenzSsLL6YlSvbXl2MjFzAEMOkEnrZ7GGtTmyy7PB727roVXVDqKbQb8fh9jqj7vhsjD9hSsEUVHBIAc4MyiltCnqNmk0BdL1ZvQdURfrV8Ced/9RZlFjvm6nCvkw5Blwyp5xKIT+o5tw7IcTQxb28pDTF5SJIJszuVmOg/If5hCaTqnHxL5HBLkrGKgGSh0j8o4v5XGz9kS9eFOBvPo9lvQd8phwAaYmMpOhbZu2YzNbHC6mdxjI/DJvkZ9wuoh521YXX0DGEp0YUr/x79y4Thy1X3cc+6P7JscH/OckYOGW60BNhlUq7zK8nKGJ2Fb8fYaLNHHgZXFdt6XjGb1I4tZBhJCKyZMJfD/YZSFxLkXDPUyofTYgiEekF2/3gk4PsMQ8gwklFfvohPWx9BOKAY+UVh/DzvzHRu0Mvv65WDnuZ97x9oCyjepN7O3WSfA0BlQPXGe4E5lItKdliVmIpTl8B71t4Gp8Qk7/NsFgez3nw7dxo/5jNxGgaziASktEQvEbJ2aApSUMDrMGFOULd784Lbe/4+kjaQvhCUdPzj2BgavM8iYacuNZOdSYYewwjg/YxTIx5bY0lHFORx8V9hGIVjv+XXEbcbDod4NL4gukafxjDqhgg9xO+5rFHt61+4BYsnhWSD4oV5gUtxEM+NyIbkbqKrUc8a9xZnjXz2uN8hcfJ8/oSbo4gEC+PI9dT1GEYge10fE5/mPMNqVpp/mhJ+X0jo72bWkd8z0KrmNL1/7HHsrgYyn3yeNVYL5SYjX8QqXM9L2/vmKP3c+MU4+v8U5947nuufn8Wcy4pgWlhHj8vGfpFSAdwTVFbC3kjx9xCCSX1zSrrRV7HQcAREP5aKTQzqkF32ZaEJSkKk1n0Uf0jro9l7YpXip5eWa7Ytxct3+LghlOKbYVLfW0x7ESmH8xlX6kVf34sboHOhs1bQE9CLYjxtG2ihPeEApSllPHn9n1k/7iS5eWwihg6Fv2GWjAQRWTDLjtjLqB0Rlq1yxvLFZDco2Sam2Msxx1+OJZBLQstIeiPeMZSs2kO8OuMUPpg4oe/6aD6RoCTQQSz1wVwWp89nT4wyWbX4ZMPzi5ZHeI4r+joTezwj0XfJzzU/AsekG3llCewxq7PDMgM67FmK0VtiCvbwdlK33klJyZnsWvkE73tPjBt1kseEIMFft9yGNUL/8yAhCrDXrtzH4A546+Q4tg208OF0eUB+9nR1eYuz69UcvfFJVUjAllHT2DxmJp/PvwhnqLyBqBc4km2iM6SFlCc4GT8/lvtGKs/m1i8cZLVpM+XO2OrE7BPJafKDUYdrZg6PuB9m5qpM/M1FvN/8PB7RzpuNb/Fiw6f4JeW5rN12OTEBJ/keracR4Brfndwf+DVX+H/Ll8FJzPf+lZm+v5FVupm/Dbm9p92vdBvYbr6eH013ISBiE+T37zbDp4gGqL8wgZH7o9cT2/JxEc37kzi0pBDfcdJPJyb3rUDe5LXjl2RRxqYIiyGLqDa+vkyZyaQJWsmSfxW6axmul0ZRhyLTkBgUEIIS5u9rMK/su0aYx6iMn7ltV3NfmGxGYSCNxMp5mHSyvIdfMtNEChfyOWm0Mpnt9MU4PGTvz8aEUTTY5SjB56mRFz/ZUhNjhMOARIG7mq2bL1DtjxHd3D3wLpw6CynCv9YwGTZdrdS/f0kO86YKpNx4A+biiRwzafvMrx0dJ6hS+vPgF+Po/2PoDaGf1xwm9KYzoC+ajDHLjj7DwueVz+MLDTZjIgzc3ZAsaq/L8FDgSA/oYxTidNCdx205L0Q9T/fKutPfSrXrMIdDYbxHh1mo6Nquae81nZhRlmnUkj2fxcuf8bA3JG7oQMKdcFDTLqUziL5WWXkHU8zY8l/BXvAS+hi5vXlD5NpRyV3tuKz1fDXBgcF7mA3jTiKgNxCIiUcI+DF6/SSLMdgw8XpSCVIEb9/gY/sjnFmGzqBwLIx+bW0qnWjCEjAh6XQ0xRtojBAW7YaYZWNbvyK66gdwT8zfuG3I75k39nVcOvkZL6vNIODZjoCeVhI5KsoCli3+XH5sV6fnnu80Y4qZR5vQt0ex3KDtU7XmDs6tWEBSWHXhb2yy9+TbhjQerziJv/vNvKrzUmI4sfTfiV4DNqda5uLh8xJ5f0YMR1L1XNpp5tT/x95bhsdxZdvfv2oGMZNlmZmZ2U6cOHYYHWaaME+YccLMcZgTJ4Y4MTMzW5YlWQwtNXdVvR+qrepSdcvK3Jnkvf+r9Tx61F11CrrgnH32XnttSTVUZMBtU96PqkSFXeByaLtDq0FrDIzNLCRuWDJLh0cvCwKQ7Faux8BNZrqUqB6h7JoQid7Y1+qO7+q45PcGLlisHDOxvrdm/bsVn+CVkgB4q/wLTUHey3d8HjVzq4PvExZKike1UM7mhuCN7JHzkTDwrysfojRefWdetrxCqtBAR0MZ6ajE2aBsZFenBISRWt2yyhTVQGv+RMuiem5VXfUE85R8ge+mnU+Pci8rB42PcjVgV90aAlKA9zrqDeRjQozHcEWvhym3aO/9w0Ur2bTq9Kj7/rMosyhhwTohmTe5gDriWZw8mLITsgnlOSJy7mKjPEF9j7s3QH3gPq7hIy7nMzrsOQ2DqPZzRmTukz+iG0qcehpLyZckHuN63X5H91dDlJLVx3c9+3Nztzt5P2eW/iRe7MO31ge5YUSpRi4gEs/ue45+I77VLHu4o17D6X8KgySRdtWVpN94I9iTeSdR37d9JF0EMSQp/gq0GUf/FxA5IGf1QTAIZFw/gKwblY6zwquWz3hxg+pBufXN++lS42b9/AbWHDLQM+JxuRAL3+FEBCzJa5qWByqnsaE4drz6S5QB42iKvnq2KOspcLWJLVfZbtpvewubk1TDIFLMLPLYZpM+/DDogNpWzLITHJSG0aYMBuYEpcaR4NMO8s46hUfgMpXwQ8EP2Bt/x1GvZG6kZnVjf04HJIMB68EtdPMPYIFpG8XWoJKS/9N73Pj5Iu76/Pg1tjZ0siIK0flQTpcicBjyLGXs6nnIBoGvhgeV2ZYkYyj3YijVesTETvF80S2beUPVGXBFeGC56cKXeOKiKTx1ig9jZSmVJFHoG8zn1S+xyxud/L/FGtugBvgqTn/uKaKDipROlE7PwTctF9kAh80SXkHmSDMV77lOrcr584lenkn0csSu7TT7+o10Daj3P2QJgCBwINvCD+OdDDIY6Zxo5tvhSmhj7mAtr+nLUXEgCKQE6pheuRiAGrO+w367x/mtns2es7wRh08xiLoXt44E36EixPT1xxe++71eHSjvqvtIt77j6HkEc+KQ4s2YLSIja/RqzLFCTwMMarjbLIh8GxqNJSJhYWfXOJJcwWibAlAfn8QzVz/KM1c/yvsTL9at/yLnRPZ36MHHJ53OiiGTefbKh3B113o7ttYuZuyUREoc+nM8L0x8Bvg1VVHj3rf8pKZl02rXMn1Xd0TX+6xeUM3GVapUQvvyP1+Yd01iX7bFdeEklGSIctI5p+9zyAaBUK/kiHC6+umgtz1JxV2xhNP35/certmnTxpCJtXkUUaS+R3Ntm5xOqZmyTPnCZ8TROtdKSaLiZu30K3sMJN3rSW7JoAtuQKP0c7dzRTTI3HrpttjrgPYv0Ibtnyt3bm0H7OAKnNSi9u1Fn6Xtp8vLCoiECVxpp4k7cT+L0abcfR/Bdetg4vnQqrirhYMAoJBYNBJZ7C1Vo2Bj6pSBzuDLPHZOrVTfIs4viGOp7EzAhOnhsNV/nL1ZRI9WkXia7HyDOqM/UA4BfXx3kooY2BE+vm22mVs6zaQZ65+lNoweXFrj+hcom7hcFz3o4VNyy4fpg54deHO5hmTWkLhUwJ8J6gaSJG4vc6OQQZzwlpsDapQnjlRLQApNBzLznIjhz1nQZvCBWhIuQJXhlIR/L6TTmXekEmsHDwRAfhOXsgRUyUZhxQvVPuSg1jr/kCse5sbfqqLej7H8MtgJwY5epjC6lMMHFOwmmGbl3P7G/eRVl2qGMNBCcvmGizbaum7XuuRk+3azumsvs/RcfS8JiM6YM/hq2EWHg2ez9y6e1s8v/E+7bmVJxopMoocMYq8mRCdANU/YOPbkSq3QEpT2OQ7LCI7LVpPkYwSFjsGMTxN/9xq4ki+WlzzqElicITgo2WyyleSDWYGO00E7AaOObI2ddJmte3JUzwUNZYkRtYp97zWrE8bL7FlxQyxAjTTnGTAQcXw9ptbX0Az0liPhT2+CWxx60ucfJAzk94jvsdjtBPqk0xgZAYNE/Lp6j/A9PJfCfRJxj9W5R+tSNG/D29atCrR/uJUzBF6XsklIc335njr/NtaPPf3cpSsvQS3wpyXDUYyxs9kUU+Vh1UXn4w5Sl1BgHJrGsW+7/g5/n5u63IX7278DVHqwtyN13BJqo3nzBMBMyBgki1Irve5eJGLK+fVM3tx6zwRJlntB6/peT9TBr3DAx2vZXO7ThylWcZdrpXR1Stp51dDm2uEZMSGT7FWlRIfETaPBodxCXaD2ge7QnrhSpugTNbW0wc/Zn5mInM4FQMyE/ZsonOFcuwTV6jncF33lt/d1mDc4A8A8BusTBr0LrN7Pc5hm7Yk0sWBO9guFbR6n4fmpZN0pmKwut1u3vhIX+ZmWLlSLktspVbXfwNtxtH/FaR3hQJ9zaOU3Cwags1S/GWZbge2kWrVh6oyMTASMzMiBMFEKXrKKcC5WBgRMePZh8iwKXHsTjKzLGUkh2tUToFPdDfpCb1z3i28fPE9bO2pz1L6elkjc1Z5GFQdwlEbPXV7Pcoge6ZpKfYIcnhhMEQgRgmJM91mnMY5xNeqM3FZsCIlWpR0f7diHDnrvsYYUjkGMkb8zojipuF08tUDxwPQ+fB23BYrBPXeg0R37LDRa7MVTZ+jRplhMztiBIqS1YHNKOlDjns791U+WI1IDmWkfny8NkQjJZjIrQphDoblDOw5eIxa3pDbYmK7rDV0W4OfJTdfxAf4PD6AyxD9Or96WjNvYHjWuNESaiJtH4NNhhqDxE5ziG+cWqPhc1d3toWNqe5BrVWyLm6o5vvOBAMvdrWypaOVR86OrTQNcF8XJTux0J5LwegFTWGF749xOaLVe/Io5/HRBK1B1e+Qcs6Ttuo9lvuz/mcCd8sbLuPzqheoDKr36YPsmVRZ9Onui6ecSJfAQaQch8Y4dneLrmAdieuDczGHDcIGp5FMjw/XEfW9WzZQvZ5Vyem67QEe3acShoNGxRD9YZyiXTTa6aDBF2JHsAufzlREEL898QK8Dr2aO8BrOx8CzPSvHMrcJdCvchiVgWcZ1LCTJ74dRnDFNizCboTwey8hcZb0EUN9Kzg1PbbhdvU+9fkyBvXv5ZvtzsaXZuLDglM0y/2900h31DLdpRo4YsRjHDAd/z6nWp5p+mw1bGv6HJTUPniocJR348/kEeMNrKcfXqL3fcfwTWb08kLNkTt2Ed9mTIq6bo+joOlzuTWNhWmjMMkhNhjP4PfRqfwxKpXZk9/jbEkvqBoN1Q02um7cTPYjjwBQUVHBsmxtDdBBlYPI8yiJDqHQn1PV/k+izTj6Pw5bnN5tecaCL5m2+Hs6xveNuV1dhIFhaxe9TX+MOkXWg0iI4cFwc2I/GlE7wPr4JE1bX0RhVWNAYv38BtbPb6DAE1ZcDcrs6aIlbD7Zw8pLXS3s7hfHQvPdeA0WGtprB+PvndFDHPkhfVivPv0mAsPTEds7kbKU8xGkBqweNZToc47SbdccP/YaxoF8faZO0LNAbTP5bL45cTZvnn8rz1z9aBPZ95vxCSydexAR+K3nIOb3HIKxrj8AgeDupu33xmkriwcHKb978BBt0WIp28mli1ycvTz2LFquiS7YVxKj9EaJUWROnJ8aY3SDKFUUMMtwqSsKhyz8iNRH2dZjgIWOIHOdQQ6a9bPIXoHoHKtfBG3W0IUjnByNEqJpgqjfd7EtC5/RymvtziV/zEKubqnYpskAkkx5ovZ8UhslHL9HTyr4doQz6vLmCLoXxFxXHSrgy+rnqAnlhb9HD0Pszu1LpxmHGbdqnrpQljGaQ6zrrw8fRiJbqEHwK9cuaDZgkCGhnY/9BQ62dYln7RwlU9Ftc/L+2dFlLxJrXORURCctL3e5eWPJAYSQTEl2gfI7UjKjti1bMo7TKlWivCnikTmWDJJpvYYM623k2hTvxHu2P/jRksfB5HIWtIvuOQY4tTjISxs8DKkOIRqjGzQfb7+b9wvvI82vnVB+NutK1gxXjRG7qE7I9nZUMznv2KqEuT8uMOvq4R1DmkUxHNYn9OKeApUTWJnu4buB4/ipj36SCxAMe7PXrz6T4WHv54rE/jF/L8BFvR5DFEw82/6S6A2icCRz/ZUYeyxANghI4SSee4ZpvY2PFVyh2w4gNd6HIULH6Nuib3FZVPL31OKpFDQWsDZ9Lb+0+wVRbOMcteFvQufBSix8WdnXTct6HynCGvRTH4guGvkc6ixYFqC+Szb+oXpxt52jkvgxS2l7Cc2Ilcc4DBEhiqKc2J4KY5RQRrpf5qwiLYfg63wLH3Ww4suK5xPjaczu/gFys5n+YbPEp3F+9kUhCwvNsp2CNsXrEuqe1LTMILkRIozDxtToHQFATZgzdeWnzzNi4xLdeimgktnPWJ9NpjcfV7O6dHVpFn7vqxhmY7YFcXriyGlYTI33Hd6c0ZXlgydSnHshP4/X1vQSPC3PujpUhLh0YT2zVjUiiA0aLo1sNmGL4tH+xRHk6VR9uKPeIFNqiu0CP7fRyg31NsxRypcE+6YgOWNLrlWYYodwtlv09zB3ZutmsRoYW+4KAwY9Mdiyohzj4UZMu+vIEuGtNW4ko8CuPO3AelOldts6g8SzGX6C1S3oLoTx9YAjiIHYwovH8G314wA8udbAs5uip/U7M3z0Emu5w/0+c+TTmYNiPLgSzBS2i51xCNB/Xx0AQbPAjx5FWkAAtpaqMgNrBoyNub23zMzMpdErxZt21zV9vnfR83jiY/NMgpKBKr+DBOONunUeUQnLGSKEOqsFNWO0hmQNF2dE5eamz+ccDpAakBlZJRIXkrl/h58hB9V38xiO2BQveZVVz4Vc3bkvwbCwa3zomKq4wIpBE5vaTKyW2B9n4MVuNq7peT9Z45bgjfJsAZw84DU+7uDk1XaK7th32YoxVR7uUwawjQtQi5F7wvSFPH8Fn29VPGSn93+Rf+VfwDcZ0TmDG+KU0iQHHe14kJuYXaAVfL1Lfqjp8+1fVVC6ZDygFAyPRJazktdCqkft5fYX0GNkdPVsHkxkR4MbWZb5oPCDpsUFDR2JD8azIXUDR+KO4DV5Mf+NIpBtxtH/cRiMRv7xyXeUeg/gCde+sRiUl2xA6sSo23yHapBcfPQTRVckWesRsGb+iLXmCl5PvpXpg1ewJFftAMz1ATV1XlQHPqMYezDvUCuxpCHEtogx9Lbdfs4sik10XVfQg91xDgRJP7iWmCS+jwvwYqKX/RFGUpI3+ow1EoJ0/EHtGN49NzYxsjkC9ko61i3FHArSo7RQs259Fxv/mpHEogFOypOcTEs/nQODTqYuMY1Vfcfx2YyuiHlaT4TgDnF56YctEohza0T6FAUwyXGaWaJ0pAfOZoZiZYKBeoOMf3IOdc28MPUxQmgANgnssoARgRdPia5wHOynDXWd0di6NP7lNj3B9jHr3VFa/uchNIYw765HSrZy9X4/A10ypp11fJ8qsimCO2WM8J7OH2Tk4zg/ckDCsrUWvz+2qCLAySvDwnm+3S2288vxrAj1pZ9sZUCt/j3qX1VCxZbTGTHsR/o5ftatP9DByZKR2ntQY9IPTMm1QU5xKErHHQs9uMtVo2pDv9geVPOBAJu79oi6znhUNWYO976RPSfPiNqu86GdrKlqx4cHB/HegQLd+pCsD+/L7f/g117DeGPcLFZ00nqN+u/az5Qda/nt90Zu262G1HrVS0w/GmLQEb1Q6vSBb2gKwTZHYapyDqeX/QDA9v6TcCWq1zXZL9HQzLCYlzom5v4Adjh7scfRntVJ/TXLT+E3OlNEXJj76YngdtrkQJP36skOV3Bdj3+SNW4JWeOWMHDYV6w39OY5ruDXJW6e3eRl1cpbAIEGWe1Dfk8eSm+28k3NnfzzixpuzTgTQ3hSGGr2G0IYeTF0GtcFbqS/7w1SvWXUmhMZPnQOr+VpJQMAPvv+CbZddqVm2aGUeH7P/p3ChMKmZW3GURv+VpjCxf38YSE5q8lBhi16pe79tkLN9wRvA+aAlgsiWCqxpKhEa9k9h4o41Ugwrq4k0aV04AJgqFRe4m3dB8U8xz15Fh45IYFLJmlnlRkB+Gp59Oyeje27UWVPRmiB1xMQYJ5DNbCMEcVs5RgJuqaAks3jqNemvCJHP47L2XLYAkAwJNKQuId4v5eLV/4KO/R1iBrCBklloolTBtuZ1ycsDBeNAwOI7eN45ZJ7yFq8Jer6SEzcqs1qC3ZP5NIG1f39+BnJvDktEdGuHKskVevpWTo+GdkAUqJZw+iaKtZwvev4JT0MFT7EbDu+sZmMT0ngk9PT8U3LxT8inUDv2CUjPOFb5DfB86ck8cYJbo4I6rN7ReC14x7734V/Sg6+KTlImXayw4WUhx3xYTrsJiWGI2ZYx3dw56gri1FDCmOX3Yrdq3KAHJk76XbyNhI7uOhpfY3tyfPoevo1Mc9nbdWDAMQ187IaJJkZi+zU7DmB6t0nRN125bcDcf+mJcZuTRyga2eJIGILQMMRJSzeXLurOfrt28X4Dav1+1tVgRAxQZrcO4/4zsN17QC6FO5iXbUSPhRlvVHcIJ6lW1YTPMThNIVAvC1PDTtn+quQRYEuR/axU9bKe1x8SOkPZvkH0r3ZJAVgebL+uhxDwGSmwe1qkiCZN3y8Zr1BELhimHbA9xu0nsYdzk5kjVO9zBIC44ZoMxKtwZKm3smB8u66JG0o3GuM/t6V2jL4WZpCA3FIuJlauR1rUBGs7VNU2NRuYu1aBMCXvJ/uZ2m942IzTTwTIq9NvY2eA9dyeu8fSLQpnNRCex4Pd7qGt3O1sgonVS0lt+N8th0qYoRXGXd8liRqbbXkBUNsO1TEHdW1/J1oM47aAEB25274JeUhHZd5JhOyVWu/wlzMwpIPWepYxy3tn9dte80nSmptQoGIkRC27K91bQSDtjPzlKgGjeBXPDdFeVrOTHPUxSkD87fNwhaJwZZTq4NdWy5W6Y14C2whdeYkG/SEUGOgqKlTctZ/p1kX31hDetFs0otmYwoUNi1/c3bLqbMAuZVHmrg3RlmiQopvKtkSDaWpscNQx4MlyvXKaqZxFZ+g9QSKRgHZIBAYp8yMl/ZSB/gnTk8mkGRBHCgRGJ6BmBfBFbOXU5W1DI+9guo4bXfT/6DqgRM7xRPsmwJ2E/OGqAawnGBBynUgOU2cbHbi7JyIrXNiUxjumHNre3srbruBykQtAa6jWVvjTtko/PslGcHV+jpzkRBcAYVIbhDo79rFkHqFRPsIDh7Czln5ywjm62tTDRdWap5HuWEvhUn7yY9bikn0MXTdoxSYPyRz0MfkjngTe6qfDlNLkM72cnb77zEYYxv6FgS21v1BWa836C1vJkmu4U75Ye79Sh1kGo9G5xH+M20BYyyfN33f0Hgau3bcpGsXWZ0+Euv7jtR8tywto98PijE0fv0qBGDK2uUAmEIyE7d6aL+oAjHLjmxW9zm8yMOkStW4M0ckMfTasxkpYsj646he2ykkawnh5/V+SNcGoENRKfF7NuEs3MUeb3SdsTQ5gcd2wJQda3FGELTP6Ru7dt2yrv2ZM/1CXrr0nyyOoofVGOW13e/I13yfNPg9zfc1Br1WVO9stW841h/9YIhuVDbH5J1rmz4n2K4gw3obqxkIKH3PMaxLjaiX2Mz77LdEfw66p+xnZM46LuIdTBEG7CvttBl4I+q3kBpSJoBvlVUyq6GRM+vLMMgGfi1WMu5mu/4+vhG0GUdtCOPcR58lEKMEQcchQ5n97ms80f59goYQcSnKTKuzW3E7WwN+Niw4hU1lFzHfeRUmx/H1eyJxLKuqNXDUf8cfpoc1y1ICx9GdsZvwTcrGNyUH3yRtGqoBWEg8KWE3sTWkDux56Ou42dzL8B2d1fTddETtpBrj0gjteoygqxf2Bi2J9pg0AcCGbvoZUa1TO8vzYcLgDmGbX4L1t1LMG6o0Icj/CQJmAVFQ6p4dM1gKM7T3YOjelkOHVYlGnjotmUfPTG5ysYdSFcMk1CuZwNRczhzWjmfvVDwdz83oxmvTVQ/aoP0+hh9sOcVZc86jM/l6YhLVneKo6xRHYHQmvUNGfGMzKcww8cvg6OTmHJqRoWWJroRDVAYBQ4X2d1oX6otjRoMQrjH45XI376zKQ5J64os/TNWY2xmcvY76Hp/SK5wG3Rxmm4jDrrxr3108i0lj38A29QvqH/ua3PvvxTBhJcmdlmK0NNOo6qoYsIkdlKwoMXgIX62aBSZLHnbVrqWocQ938igvcg0JtdrwZKBBHzY+FnaON6me0EP+QfijaII9GlLFA4tE1RBZOVQ1BPqUBTB4RfZac5l/w4Xc/66iBn1sEB+9y8uoXT4urDLRR7ZwRYONVFHgpe55NC4twbROFVy96d2HufG9R7jtjfs0PD+AxqD+PQpKnakxJbDPnh8jJ1XB8MXqb3UU72dhSfR6b+2lVB4p7sqrG44vr3AMNlFpu66/Plx2OEqpmlfyz6fCnNIU9mqO+lS95zTS2CgPq3Z7cLCP9shAUMrj6QjumS3Cu9+pUk3334xCFk9H5Zd+x1S205WGcCajKSQxaZm6fm9HJwgCBb+9Tpff3tSdG0Bn9vE2it5dnM+DW3YociEx8EhVDU8cWciWwkLtimDrKQz/abQZR20AlGK1+XHROQFxo3MxWSyMzVMIl3MunMGL5/TnkcsGsXBIOR9MP0yutR4jEp1bqPFkc8QoP9DK0iQAzvpvKbLqs14SArHJwICSTWQQlP9hpBgMLCUBOwIeszKLsQVVb9GWvFN1u7E3LEAKpCPveJKGXU9iKFHdy7JgwIuRUEN3rO6Vmu1+nqy4/D+eVsS2Tnpp/oGHy8k4WNz0PZLXIIgyxio/tt+il4hoDvP6lnksAI+flcJXo+N57aQkZKBnuL6X2aeQUH0RM8MPJkYnyAbMgqZQayQkAT5OkrALFiYEeil8pojQy4bONgqzTGTXHf9cY+Fikx3sJj6eEN0zaJYD/Aut1+5kfuByIsJHJgGhTvVOHEfwW20XDl11dKsbHB7xAEF7FWV93gLAYNJ6pZzZWwH4gPN4ecydvDv1Rp7Y9wNmWz0GU4BDRR+SfM45WJJaPonkpKMMtBsIun8BRIIeRZxQMDgwWnpTvXc0BmQMIQO+hVpehxyyUSNpycR9dmrfS5/YjwaLl8FpL/GrpGZG3R+8iA/EE5u+P12nEnCDEYT2vduVeyoLBiyhoCY4/WC7ZAbvVwfqGevcJPtkLm20MbRBMf5qw5pQA2tCjM08E2vAHzXA7REb+OPo55pkEo9oZuTQOYwZ+jHPxMjA6rVnI+Zm/MaaQBm/H/00ansTRnrWt15v590d98Vc988+0eOtr+SfG3V5LFjl6B7POZzGXjogyhlMrAjx2LpyZm1awqzNSzFKIkPrNmiu5RKGE8DEItT7vIVefM1JOGo6ADBsQ53mGEdybRQW9uMj504MUeREjsFCkMfEW7lgzQIuWLMAPxY+yTopZvv/v6HNOGpDi7B1T8GUong1Xp30KuvOX0e/rG7M7J9L3179KUlXLPvHug3H13kS3LyTO2PEir199NlvRudujEeacYaauXCNhY1YlpWDV+nQAoYg53a5k4OIeI6VI/G3rNQcDY+GS9nvsB9gQ4ISFokMqzWHOeglVDcA0dNRreEVJYvOFL8HAe35lGXk8eGJhxGNMjImVvSLa5rZFpS7sAQkns45lU99A/jANxgpTd/pNC/h0hxCjR/rwhIMdX8uVORyGEhrkEg7cinOOiW0Ei51xtb2Fo6kx9BpCR1/Vrfv1U3cPjw6f02QZcbv2RR1XWvgTm+ZtB0ULGwStCKiY/mDXFQj9LTyNVjWVmIo92Lapjy3pp11xz222DmBzBbKgRxDQr4q+ZDSbb5ufUa/ryM+f8O7dx+/RphRNtPOaiQprFgsS+qExOyciuidxcFfH2Dvt9HL+DxV8yorGIPJm8L45VWk12ifF5txCxfEP8lo1pNlqGGQ73W6+D7iI1EbJkoI1LCp11AanFrjNJJD9PDQi6m1xtGYmEXWo29xdef21EUr9CvD8no/NRaBlWmKFzMpIJPtaFlrq0w8Sqn3AEc9SqmNpRV9qQuLdz5fcLGmbe7Rw9z09oOc+Me3zXcDgCTHvp/RBsoLS3+I2tYSg3sIcCRGkeN3mnFyjoe1iX0p9v1MTfAfZMhaD+NnzKJCVrxNRzyryHLVkuR1c8mKuQzYckS3r7lET7wp2TuRUMiMzS9RZTRQbAr3P4JARXlHhGAdEhLtlyoaTW53EqKo9UCnNKp6eBev+oVlybELhDfHjP6vEPL9eUXz/xTajKM2NKGqf41uWepsrTfJZlLDP06zk/envc/HJ37MvefOx3bBt5CYyzmuBp6qqOLTEq2HJ971jua7JW0h9tzPMB1o5klpFj4y76nH4AlhOqCSlKsCaVyIm+tx82KCiHVlBcb9xy+W2LlB5GOcPImdvigv8m0Fz+E3KQaaLeSkt3wtszyPaLZ7fqOHu7/1kll0NiAw2WPGJoHgVY0ga1jPxldyAb7yk0gpvVWzj5BJmbG70q5j5Yi7+HpKF76aUMytw+/k6olK6m0AE8gCI4MW8oPq6ykbwD8uttimUONHTrESGJaOmGaFcKgky+OnR7VCID99RXTP3UszkpRrU9kbg6RcB4dfGSjqnQbM3i0gRTG4TMcnWo8bbKEoProREzSaSPAdv1RGLDzU9/jHb47EcN0wc3jmneprRMq0Y9lcgylcasVQH924NBZqr9/JpWrH7U6JzlvJHPRJ02dHehT+UzMUTLm/6XPukdfotuADXZsMi3Jvx2YqA6oU3KNrE2jIi3mMM1c28ppwE93WTcYYwx4wh0VUB7CTahIJog56a+J6849ud/HeOTfx25hTeGP2HU3rbtjjJzfCN7EqpzfnnfggL064C/d6qGjwkR2jhmN5sZepE+L4KcwpLG5JlyoMQ5iT5BXDg7A5unDkSYu+4rRfP8YshmLWQasNxC4eG2xW7FaQJZ7e9zzvbb+PKSUrmb/h8qZ1D3S6rvnmUfHVFjVJRRL0E58ZJXrD4OyyXzXfPeIU8gIDde1uzp/F95na59gkSVF/+xZUHabMTLV0zDYpxKqV5yAiMCE/jxPb5VIf9hT7/Qr94JM8kT+SsylaNo6NG2awdYtWeHLLZtXTaBZFzkp7JcoZREeVOZnyGHpTfwX+fVZnG/6fQ/9zZuI/0Y3ZbkMOShidx38wB2fpZwKmHjOYvusnANYWHuGkThOpFPchoJ1RWdMXAeDMfQYW3gZGpexFYGQccnyYnxLhRRIiyJnBGoV8uBeJvS5lgDUfaMBU2Ih/eBrE6Qfk35b+TpxvCPvsh2mwliLXjWoSqfSFjaP6uDz+aD84XEVJwQWHAoytFJkvyFzjP0q5OwcTRq532fAI8OoChaciRNh0ojcfW2gucdXv0JiqdJxp+U9ywFuFaFEGrsJOF5FWtAgMfsriVJ2orkEDYw+HACufxfkpNklImXp3vOAKICcov9PoCdG1EQozzJzcaEFa0ciSPnZOW+EltTGFgLEGi0iEKooWmzpambLvYg6k3qSca7g8i9tqIGjvF2OrMOQQCK3vStpVH+VIajZ+k/m4WU4twWP6c9tOlecSF1Z2f5vZXMwXgCIjICU2YN6jGNdClLphpl11mIrciAVqiPHrdhauOthI0FFO8eBndNsAGM0+up52LYIhFE1Pr0Xkj+tPza4oBlU49mdpUjU/Phftt352Jm9RPExuq2J0ZPHnM/lkYOag2IWlO7hFnsXBubg5Awtfh2sprgq/+0MfW8TtxEjla4ZjRal7J41me93yFtv6RcWwFeOiK3T33Hf8jE1Jju19Nhu0ntyfNykG0PTqZUyv1io874zTE6ijYWTd5hbXP7Ddx0+5ah+8cu15zEtVw19+A1gl+KhPR5Znd29anlVfTVliKiuAy5caMLXgEWuODh03Ul6uPf9HuIljPcdVBVlc6DcBBqqdCXzVS+FSXrasA2ZZpLFRmQCavKl0XP4Uy6xaDlV5eScOOSbSwfMVL+XOYHdoNa+UV/Ips7AQ5EzmNhlwNeZE0q2tk/T4b6DNc9QGDayJTgwWY6sMo5gYfGnTR7ssEwqoGi2W1DA/QlAHIKO1EqO5BCGozGwSi17DsqsQwRvCtF+drRsr1Jc81BB9wBZEGevK6CURjsRX4xM83FLwLC9lf8q9+eqA5jMrxtEfg/TG3jlhLaUx8ZWck3Yz12deTnebgTiDgFMWEGStYQQgedvjPTIbcZdaxmKvaGsyjI6hKv8jLF2UrLc0wcgor0lTCuPcRiuSSVAyuZrBeMRNx3W1XP1rHXev8HP6Kje3/lBHt5IgPUqDXD3fRWpjeCAN9/vXzq2Lem1+HuJEBmxhQnqHClVq4Xi4IT/7+I0i4PAohm9hZic+HDn9OK3/c7gINQvITIirNn2OIAs8urqQ3gl2RrUrZbplFwJgWVaOoUIxJoyHGjAWhQ3wTRGhYUFi3+QrKRz5zxaPazAFEVrQgYoFs03xgnRc+hz27UqoSJYhqUgR9KsMqd13yLdWv4Mw0k0Cq7rb2ZavDDRHwmErl1ENIdcEbqUmGF3d+hGTet2OF9rNr63ld8s6TrFs56hBJcO3Nuid4FFb5rslbD1T6Zk0soUtFNiMTgodAi+P1qfZnxAjjHYMJsFC76QxJJrTmHvkLVZX6HWgAM4+HECQZR5dfZBBDXqByGhIDdRw1ZHPGejSehbf334vRo5vtHQNT1Ie2/cv8twOxh6+sGldg0lAApZnaw2Isohi3QfToyvdd2+vL0TcpcsqakxOcpsnMQAFDQUArHdM4lLbJ3jNFlZG6EYt6dq/6XPNoeF0XPYMoqzvPfbuHUVjXA4L6p7jueyRLHPYuSW5F/vpwE66EogoNVVvisNyHHHW/ybajKM2/OfRcQIMvAiGXAHOdGY0qqETa8Z8AmMcOLtpBxRnx5cwWJQsFV/xhRiKzFiXlmM6+OfTOZsbKsdQ4ThCoVUlNW9yFrLPVgRAwBibSJ7lU3boMOTiCp5JXfB6utmMTE5QXuQLG2UM1lIwaDk4ocZeyG69km5zuApu5fY6O5fUWhjpN9MtqB2AQgOi78PQEOScgxLprtbPDFMbJc7cXoLFs0EX9tuTa2bE4VkkH32waVl8K3g11RFpzs4WCpICjKiHFLfSaTYKllbVnfpPYT3aOn1j+39Fb0MSJ9Sn8u46L10qS8izKaEVgyeEZVMNtvklmPe6mozEyOy2erOxFT4bFdlZsXklJSuv1i0TUpVrY/alkl/6EtnX22n/+gwsXqVkzga3akhIYmxie3rYw3Y0RXmuBh/wY/dLdB39S1MbjzQBjxhdRXm26Tc2Wy9HzLI3STnEwm+mdQQNblIMXrpYDnJl8+CEDGKzq/bReNUb1/FoRPp3vwKcw7LIvltb/iYaUq05XDTCyZ4EvfHWa28MXptgxWDuTO+kMfRKHskJeZeRZEmnQ3z0EiO37fZz1do9nFCfjlfUSyIkBvV91bTqlTx08HV+3HSDZvmJ1cupC16qaz+mRpF/+DwcAp+3/m4OLJvGZaXfURF4gaSgjDEcMj9hQhxvdG7Zs2INKdezRyhXszyt3X5d26zs/SypVX9Dvc1JwKjcv0FVigbdsWoAH46cTklEHb39maqExo4jXfjMupIPbIujntPRLp9jPOUJEqpfByCpVg3FuYnQgPofeJX/E2gzjtrwn4cgwCkvwUnPwtXLuXH0o5rVpxbfFvW5lwIZ+oWRMCkvutEwtOV2QFwUUu1reWcxP/UVgq4+BOuUl/3GDopcviNwfKFGAJd4EV5JVQK2C5ARsuPs+BJ5nZ6lS7NX6kfisDXq03Ob40iaiaU9bYSivJFSlGy+jK21hPIcGvXl48FnFnhjWgKLE+4isepfGEMVmAKHmtaXJ5noVjmULmWqR2Fd5+NnEi6vVUmX9233cd/22IbmhHlV2MLSC7UJrc9SbC3Gb/PQ51D0tOsXhLv4hrM1y5LGvIQcnsEnJpYxbPh30TZtwjfEUVClclM8aAn8GeknNt+kCQUFsQUcG0r0pPUND3yp+W7O6kdo1+Km77kW9d4bDLETCQ6H+WORWla3fV/XFLJeFT8OCZkX8LErpBdSFDEwZvCnOhXz5uh+5JBumWTZwlTzbkDmCCIWVMXwLZ1L+WxMHIcjZCRO2KSSizNe20H1+zsoezK2V+wY1lb9irtZmLXXYT/XfPQchhgK8bak67DEnYLfonqbRmWeSqY9RgIBkLddkehwhS7SrV+x7nzdsmO6QSZEftl4NSeVrua939+jyn87jeJpuvbDv/yBsiXjKHAXcsC1GYdxDc5mivxiRIboe51afod8ZsV46htqjyGsUXWWfyQFax7UtZ1fb2KFP4dEGqi1x/HZsCl8MSR6/bfjwSPElj6orcmNuc6DnWJrBlnjlnCB/O6/dez/FNqMozb8dxGfhXXgbEZ51AFzqe3fE947phXXISK9OBZu7pmHNdyJzEhPAqDSlspaWxBfyfn4jp6JFIxHBkKmHPalKZyEjLo/VwV6aqKZWUkWJtcNY3L9cN6NGCyvxUoKBtrX7Tvufj6YlMCSPg7mjFNn0ZIAh5rpDyXXBpn+axWdiwJcv+nPnesn4+KpTNLuL2RWB4KEsJdo2t7Lmpa5nC2HUQCK/EHu65DNiaVBJpaHWBNDoDKt6CICJg/B49hzZx1WOtaLDvp5dIvW0Bpb3nL2SrxX4pR1bnodjt45fxeuJxaJmg5KGKVvv4XK8bsqBtLDWDAK6jX+JqWQLAzkV6thhyuFj1gZkQadnT2blSvOYdnS2RStU8JBadV+xg5bhuyL4MPs0noefDWfUbu/f9N3IWQlV9IO0rZBl2Lrf0HTd0OkYRxSDbag53d8tS/jq/0XAO6wbbAnV+tlGL/dywFzAS8NvZ0dBU6+Ici7ITXMWdiYxOuHR5I77g8q46KrlEfKIOz3642nkMFDjrGBM61bWEyIET712chp3M/+HIvGQ2AW4f7f3byyLoRRkllj2sc7tkUEE6N7TwedNAuAar9Wn6pDWZDTVrtJFkZhTboewZiOLfkWrEn60OGh48mARKAxpCStBOVuBJrdn7SgVtX++8038MQ+ldc1sGEXA5d15VDlLPb4FA2kN9Z5GFq2kXO/f4u73nyIOJNynR3ynWyuUT17cpQQVWvgNVsZFOxIPHYu8I/hMt9EErBjayhgZEgV3bVaG/nVZcGVdD572+XyxVDFi+i22lnapR+iYAD53y/l4TVFZNRFuPZTfdr7+oF1FoOHfwXAJ8JlNPi0mXh/JdqMozb8JXiuIrrb/7d2Z9AuXnHJCiZ9yYxIBANmvEcuxCJFz0jRtBUl/GH380+VdQB4jHbaV6pcJVl04HcMpzbnKaozlVi+x6p9Ja7c3zrxt1uPXsTlFadhQGA5CSwngfNQZnVzdpwNUuv2U5ShhpnmDXTwSYSGT7utLq5f0MAgl4FJbjOJntZ36gCVCXpjqsAtYw7LEezO1Ye4TIFCHPXfQwxdlWPINhh5ZJtPEdXMjh4qE5AoTNzHygx9R3/OYXX/5xQFWT+/gRv2BRhZpT3n8eVB7t8Wo7BqSKZ7SRAIMm37DhK82ky4UdUbeWP9I9gPaZ+fqi7fIkeEeqYV/MHvDjc9en3C8+Pvw27yMqvzz5jjFKOoe5lW5PRVIaI0jpCHKCq/X/TambS0in47GjAHgtQ9O42hG2rpu8PFxIjK8keWZgFBunZUSzRY3Hoel2C0YG4XPcQUb1C9QnahFAgCEjOTlHO5+DcXu5spy4/Z6WPekRd4cOAQ0tIVo34hVj6Tz+EDzuCbI31Y1D16mnfTea6vgpDy/BhLvPjl6Ma0UwjyPm6G+rXncNHKXxi/eyMemyr/IVf6KT/ooiggs82khL2DCVrDS7Q5ufWLnxl/4eV0HTEGo0lrkE/eogyqRktXBMGCNUERJBQEIybbCARDUlNbayvsjtWVP/P70TmIEWn6ZqFI02aPT1sZYHj9VkwRRbrL/KqhtDmc5Tq4RuTmZS4G1RmYkH0OJ7W7Er/YiQybG4dJnQhIHL/Pi3renXpzOKsroyfF4TeZlASU8KNukdRsz74nKfsPOAbxSketB2xnTgcW9hyCxaIXxY3ET+1+jbp8bfpafmn3K/FYEAWBp6WTWOzvgtMgM/7oeE3bEouWIxVqhVzIfwttxlEb/hI47yrWLbug3kXm+H/yy2m/sPLclXTq1/W4+wk19mTNnugzGFOCmpHyr9/03hqhxsca1ywAZLOBmq7P0pCmZJ34nSOQAU84VLF47SUsXtTAlQf+PS9X0/kis9xcChHZLhPKgixa1MATm2PUhOtoZV6qyIbO2lT1nMp//1yCBj8Wt5ZoGrR0oodLIhh2ye3PseCxCDTYBKriDYQMkFz2T5z13zBhT/RsrGMo+XE/IQHe6dKym39x1w+jZt55/YubPrfzqIZKXIRtdEpxgFOOipxSGoqqMfTr4kZSQjKNCfvxxBVx3tqFvLvtXgbV7+LHdc/x9bbbGFk3ltSA/jmTzNp7UdnlG1y5y4kze3hl4p3M6LgAV+5y1pn2YzJE99j16vA5/pfVyvRn8ZO68sW+5Fq2E+8WSa8OaIKh3mobFzz5Ih1sfWi39h4cVb3J2XZV1GNEwhFqJCPxTLLsHeiZNIIC4SgnpATpn6B4smxhwnV/u5F21SG2dehAZke9YGZXh5W8MXmYZbiyzkZN+dksSL4EV1wSy4cqA+KgfT7++UUNl88PT2AkGev8EiUBYtFRrL+VIvhElgZj6xKdZ9Nzf+zBAN3Li/A5D+rWbY6QyZAs2ufK6HPj3V5F8b3LGT3pEk65TZt519LEwWQfgTVR5fvYDOCLUpz6h2yB6QMb+OLQUxxu3EGlT+nDvjyklEsSIjwg6+mDFTM37lEG82x/hW5/y8q3ar67w5IlXRIGMT77bFKtimHgCgttxoVFRIOSgU21qnhimjf689evNsSYCv26R3vb8JkEzhmpDb12lDLoIGYwffp07EljCZliJ1YUpmVTkq33ukaiMusyvm//vW75EaeirbQ9bh+7sgsoyZzC27YnCVj1HLct7bSZcgn21tEd/htoS+Vvw18Dq37mc8f4Z8GgDMzxlngWnD6Ijht+0bVzFLyMp/AG3fLmsOd+RoMrdtq5sSaAKCsGR6iD/nx6JhiRwgUVExtPQA65kEggyfQwdaH7de1bg+fw8VMwDqExiBynzJovOxggMQRDSkQmCh5+76c19uYOcQJ6DsmoBiPR0rYlAY7G7yPX1QWA1fk/sDn3dzpVDaDOXk6aux2lCfsx+zM0xXEbUq/gstV+FmWaCIR/93OnasMn6eHJ8XbHbtqVvEBpxrmIZj0p9/FeNh7vFVt3KOmoQsCXDXq17dTi61hpcwFTsYracr+Rs7cxFapxOGeVh0d6WdmWZKQm7O1ziGAWwG9XsxXX1QxhSM0eAoFTqZAnEpQ7Yz3aGbpt1JxDWc8PNN8bM/WlTfzxR9hjPYDZpJ/NlpHFsg9/hnDJBIAEWg4JDN1Qy+/uDky56HEyO3Si+M1lOOiKY+NtLW53DPmV60kIhsjofhZl3iL2+6roJ+VjNSrPk0900xiso701iUZJJr1DEqfeMpA3rl+s2c9r1/xB+z6pdA+oXp9RuwJgvpQxO7xs7Ghl+kblt2TXiVz4u4tCUyPHmEACNGmTlUhJrTp3j0M7WZIN0cOldncuXkcJskX7bLXvN5DqT3YhyzKfvrpdeSvOSgZBYObqRuzHKykUgXoR5rtCnJhgwhIOxVeHJBabLFSk6Q0GGZmtNUtJzpyA06hk3y5nCGdg5LzDQQKNR3H6tf2YTxxAkecwtojI5m8NoSbPXiT80gnAK5yZrxhTZoNElkMNpw7bvZq5A/TUgnfXql6qJ3tY+TpfG0Ytt2t9IQYMTAr2IW/oULa5GqnNeTra5Wk1Ao6hiIaX+abgG04vVJIPNqVuImjtgN8xkl2WBCqS1YlJafrFwPeafViD2glgvSSTcvzI/n8FbZ6jNvxtEJzaeLPBILDyron0bmfFlqMWwTTYote7suWohSctaQpfpFOOSg7uFaftUEOdEwh2T8Q3LRexg36Q9ocrzpuDMh7/iUgos2yb4TDXoHiiZFmmQZSRY5A8I7EXkZ9QOn3bdjUFvHuDMqtd5Q7Rvbj13iCnP/oxDTJ8m7WRd4fewXtD7mJzrhKyOZC2iWpnKXsy1tBgq8bi34VBVIUyFy6No8Ajc/7h2Ofgt6vSBj5xI4kVj7X6fCPRIewEkKIU8zVI4XOSQ0zauYpv87Td0rV73PQsLyOvVn0OkoIyz2328cFqD8OqQryyXhm8T702emHV3yxbCcrKrNQUSKL9qgex1XdoWh/NGIqGIaM+w2Lx8rJ8BXmyGl77Yf9lRAofNK8DFg3xbpGZ7MdutxCq8VFrFqgz+8m2nkeC6ePjbi9Y4khJUgzVBGs7TNY+bPeK2IyqsT23+E2+OPQU28uexeduxFi+mSzzVt2+Dm+rpm9AP1cev93LLT/WaZa1rwwx5qiFPKGOFFHQ2euJkoPZvrE0hzGonlfAVsXkgHqvJGP0ZzCuoROWKFymMecoYfBjvqU6p6GJu9TzSICEf2Nk2xL2VHklmeWNIuO3eZmwzcuojFkkmNM0bXfVr+JFx9l4xUFsl8bRJagIMZpkuLwqjRt82lT/TTUDMRj1Gkyx+hG/aMQUQ/5h69FEjMVuTebku2u0ns9zivTGpi0kszDThAwUC2p/5N1dw5QN++l6YDuzv46tYRUNuSVva77LgpX69Bt4d1g3vin4hYMJB6nLehhvwgkUZo3EY42ucdWrl9JnHXuD0l21zF41jyTT32QZ0WYcteEvxMkdT9YucOhJljlJdn6+bjJXjRpIfI+7iO9xV8yMzhvGjMTR8TlsOV9gSVMEJcvsrzetnyD+qNtGbB87dn/nMKXzDpoF5rlUD4tBcFEU9uTs9En83hBidUQadTRsJ8SlqB2WXC/y+CYPH6xWlwXk2AZPc1y+oGU+liQIBI1+AiYv/srJuA/eFLVdQpVaqDQhnBp35f7YxpErXUtgNYp1fLnczRtrPby0wcNJUVR8dcf0ruH1U15WztMYvQ4aQPaRh7CEgkxp1HrppLKFjN29mpUmvSBijk/m1Q1ehlcr96OxuuXrdAy2hgLar3mgVW2bY/CQGlKo4SluwSgpxzWFJQys3gwsvjRNIc/jId2/m9PW7GHKxDgmT0xDFtwkmBSByroWpBHM7YZhylI8pY6wx+OAX2KnL3p696uXnkPN+xdxpD76NcoRWz8cyIYAM/0hLmuw0T+gHcCmBQZgxcwFvrGMDqrihAZJPS9ZEEmR1XcxRYrDb41+zeJcXZgeGEineDWrzFafwB6fSG1IZlFfO6+cnNS0rsAoMCLuzwdFSoMyj9gXs6yusGnZ6F0+HMndOTHvMk7O08ot/Jprojr4EEmB2+knFmjWNYraGmId4z7HEq+v1VgTq5i00AVZNuEKnUlA6kCpRynyvatuNZXGFMw76rBsqsa8oYoZG7bTr04bRixwS9iaPTs+k8Dd/e1cNNxBnpzK3obNVPmKqf5A0WCaufBz4jzhyaUsk1Z0IcZAy0XEA+JSjMGI7M34qQQcQwnaelDZ/i0q81s28qvilLCZw1lHx07r2JmjTFjifR6Syosw/I3p/G3GURv+MthN6qxhhNcL9ugZMAA3D7oZV6raGdnbv65Z//DMXlw34FoWnTeHZZc/R4fEAkBL6n7n+15Y57euyjpARTO3cyDMQxDwssWmFPDcH06LrgjJrHc3sLQhhBSe/S1PFWjMUlzTt0UJqbxbUUfnWpFgxGzRGjy+cWQJipo07OZwm+uwpqwAQPTmEaiajOTPwnPkYl1bc0DP7TAf5xQCtj7IEV1FR7fEFvNX/OR4nhNKWyZMdmwMsXHKhRSE74/czHOUVPZQ0+cQhazM/I0evvWkmh/GQA0ZFtU4CyKyJtHNdYPsvJp+IOrxgr/oi/MaZIFhwS5R28eVD2rx/AFs9VoeTSikppZ3CFc4D1iM3Ca/xRRxA10azVzL8T0/x/D1qo2stak3IW/c75ww4A1A4seQlxfMu9hrO0yNUXm2fZs/0e2jorEeY0gJqxwVY2vfzNnRDdG/CTFYFLNNayCavDg8SiLFFK/2eErCPtgw0zGYw3j3EATRTFKt6ik6PzQYu6yGlKyyib4jovcHRsnK3vo4jPbxZNs7MTjtBJa9v5PdPon5osTKHlpvRG+7EZtB4KREE9MTo5OEYyFbhJ2Z+Zpl1wxW9u80J3JSnsoFG1ys1wo6hsghXZYNZNii8wv3+aJzoxpCp1EXuhxX6CIqAi8Tb1E8V8tN2hC8scrPwir9dXsEL2kl0QtV70xUjNmu8f1ZXPZF0/LaxFR+HR824ASBeI+R1BJ9Ed2CKq1IZELVS02fo4XNW8LXgyYgCgI2m5segjpZFo1GTK5afO5/v7zQ/xRtxlEb/jJc0EONmz9VUQ3xLSsrfz1iVtNnk+Mwjo7Pc8E4iUNPTOfCEQUAZMdlk+5Ip0uyMvgJzciyAmrNs2i441BsLY094Y7r2ORFauYCLwnaqBVlVjaKPNLLyq0DnYzv/TAf46ex+c6AGklmvivEL/WhJne6ABjCFcKTiqMrLY9b9YNOzag4IhBfkqh20ka7yuUQG7sRrD9O6Y8wujTENr7qM+6gKv9DPPEn4k44hUpzgK9Tf2Ozcw9bzC2rD1dbDFhr1AEgYOsNQNfaSmZtfx5zQDvArN2vlGKwG9eSY7sQt+kQ+xP2U2VVsh3fy6pjTaoRa0Mh31rW0BpMDfajj5gfdV18M+MoLq6nrk37dfcT79HXr6qp6oQtzJFY3qk/XouFwXFfc2baHbq2x+AOTSEgFWiWbUjWk043J/Tg9c4CL83MZM7EodzY4RnO73o3pbu/RA7qs/USDvzCuOW34XSXMmpyO8xCdAMpIPmAEMHGr6nI+veLeloC2gH5C9nZlE9Vj4woy+z1ifzqCrGjwU5q5fCmtmkmAbNgwoyJBEkxPMYPGk1ip0TqUjZTn7Qdr0M7qakXoSgo4LPPJGjuTXlQwmUXWNhfn5xxTP7JJAg4DR2YlvgxueYyZJuI19yyJ8IgmbE3uywH4o0sDktqxJmTGJd1NiMzT+cEd3uCMbS/vdIYyv0v4xWHIwgSRQG9cjdAeQzPoEmoxC2qnvZ4k/KMrI/rFLX9P5tNxuYTxCrFvr+vdrEQEOCMgluRZBlBEnnn3JspzFc5QWcszuWi+QVc80sdjnBfeM7SBqbtWMP43RtJLr2TPu4uzNyZiDWcVeZNiK3zFQtvj51J5s6LyNyl8vWGHNqB0efGbPj7aqu1GUdt+MvQMakjy89ZzpZZ80i+swiOU1RwSKpWLMxoreDEvikIUVyt9wy7J+Z+hKCEQ46e/n1K6SLdsv4HlbR7d7MMlkUN0b0k1aLMD3kWRIOAeUctb6JN2x/sM3Feg4VT3OqAtSmiTIJjYTnWRaV4d+hVkgFWerTp258P3coHkxKwZL3B0fiDrIrIEJlemYOVY2EyAV/puTTsejLqfo/Y1ev46UoPN+320bNe5MyiAIkevTvdnXwenqQzmT5eDY39kPIbi3+LrmJulEO8t/NmNn5yNkVeP5X5H+OLV0Tl9iansyJBn7201qbNSpqel8OW1C0syVGENIcc3k1erUK4rjE08rF1CY1o74tVVgay9mIanUOZ5EmxVcrjy0Zgdmc2fc9In0ZejprK3KvnC+T8cwQdkrUk6VWNRl7ylDBCVGt+9Rn5PT+kT9AdY6/vA4p9P1Dq+5Ta0I1UBF6hzP8mADd1vZM52SfrtgF4t5N6nYNWZdD6qVNvQqUbdW2lesUTNGzdY6SuO8q4PL0gYXPYSzZHXf7jECdvTosd/oyG9fUSF9fbEGSokyV+rg+xK8IrIkSY91URBsGZgRFcZJ9Ct1mDycjIIGhxEbDV4Lfqi2ADeGVl0nIk3sCLpySzo732eTl/p0/TP0j29tiESxnsbMcsm42zHUYSIiJupySacEbYV6lVQ8mq03tzbu+v8hfjLe3JtXeil9gOM7E5MUG5A6KsGJE/16qh4g2WEEeMyvsfFGRWyUGWEmSuWM8CSemnGsWZUfcZiMFl+yOibmUhIg5kxhRHL4YM8H5HK/8YpBimBkFANkT/HdakG0hrkLjlhzpu/a6WLkeDCECSay2mUClPFP2DK/yXML7yf8YNspVOQBZtCOFJY69DVQiShMHaZhy14f8IEq2JGBJzwdo692vXZG3adZItKWq7NHta1OXHcJ5loW6ZaUctkxufYcWq8zTL9+YoL2ScUaAsSSm4uN83Ao8Um8fQ76CfnjsaMR7VG2ETfGZyRSP5otqBHIkIp4UEEEJKlpZpR61mW4tnHWIzW7DO+C5fbbuZL9pt44feL+K1qMbJU42r2WO7uOn7yLDoXuN+7eD+cNF1fNfOzAvdlMFFAC44HOSj1R7u3OXnic11MX+r3Gw254zBmxhVu4lR9ZsZ1rCMGcv1JOBouC4rg+/i1Ey9xii1lU7etrLps18I8bltBXUR/K7Z/nGc4h/MlGA/xod6t3g8AYGOK55i+Gof3fY10t45gU6LF9JtXyOjV9eQlTkDg92E/yeVl+WR4ItaK3WCgU+bqXxf1fNBzfelxpP51LaFCqExTPBXbmZIzmW39CKfZ7eutpwrTQkvrs9fyPcz9cZUsXyA74cL+MyALHFBnwd1bZrDFohu7Nc7DVQkmfhsjDYEWpe8laDZFXUbALssMNFrpuY4hdTS01RDQ0Cg4LYRALRv357TTjuNK664AmtKELczeuhvT46ZN05MirruijdvIFS+rel7yKM18gRBYEKcmSEOI6PjjAiCwFTLvBbPd8ABH9ZggF3GYiqCEr81hNjoOc6PRCFbL6yfzi+1d2mWL7UH2RMudmiWBX73hLgHL08YBSoNLQ/Jh1uox3YqDTyDl8twMztYi00KMnvxXGzzSzDt1fPM1oXFWv1RDtmpcBcAQrigtAA4IjIAdyUp640YsBrtrEltvXGUX12mW/ZDnhmXWUAOG7aF1h6c9eDTCIaWPX3/TfyvMY4ee+wxRo4cicPhICkpKWqboqIiZsyYgdPpJC0tjRtvvJFAQEs23bZtG+PGjcNut5Obm8vDDz/cqsyjNvw9+PJkbQmFZGtsntIXJyvxc2fnJzTL47r9E6fZTNqRy0g7cjmZJgPWRaWYihVX9A/u4UypWtfU/pKtioEjyrAxtQFZhvl1sUMlAKesc3P69gCW/+GjZCz2YKjyITR6Mft2EF89B4CvnH4qDRJzer4BQKZ7O+URwnfd/QE2HlIHk5RxZkJTMik/V1HxlUJpnFatlgLo6muPLDTwbOEUdmX8oDuP9j6BhMp/teqcrwgntBmC5RhCir5LaqCOyTWrm9p0qNIWA7Y1/tH0Oc+vLRtzf3oqq21WXcCi0RQtWKlglVlL1s6Q/5w+itHbibyjPgyvjcRUtpO8oz6sAQkCjbjXKZ15+5UPA/BFjeoBlEz6TKojJiMSAhttPfhd7ExpYipL42ua5vz1gocGwcvOuOPreh2DbFQMleKkPfht2izM4JE13HehkU8nGHl9ugHXIoUnsqZnDZWJfr6coNcYA5BD6j35cpRqCBVmmHjzwet49vnrGCQog2qn/unc+sDVZI9qObtyYMBEQ+zbBMDpDwzXLogYAPv27Utubi5XDj6LCzvrQ8LliUa+HBN7YiUHGvGuehlDXMsehxyLgVSTMvxlWVvmh5283sPsVfNYZzrAqnAiRklQJiDJ7PeJLGsIYRaWkGc7mXijmmVbGJAoDeZxyK96frdZQoQEuFZQjereEYWm646T5Rh59U3NwmaVyPxAkE4Yya5VeHEO0Yggg+lQI9bf9BykYrvAqCn663niH9+CEF2ao50nmReP3Mpne55qWvbGOv2k8NfFjXy9rJHPV7i55IDqTZ+2Qx8Of6aHjSkT1WfwBmsHhA+rkfx/rgrAfxL/a4yjQCDAmWeeyTXXRK9PJIoiJ510Em63m+XLl/P555/zzTffcOutanFNl8vFlClTyMnJYd26dbz88ss8++yzPP/883/Vz2jDn4Sxmbs32RbbOOqZ2pNXJr7C6yc8ji1bMaqsGb8gGIJ8uvtTBDnApLxR5DpsCBGu/bfFkxjkUgUk29WWA0rn9k3STLZ5Wh9Ht0vamc5zxpbrQhUbtSaAAFg2VGNbfYS7NpYTLFe4LoVmiQ8S/JSWXoQUSOa0PJWvZTdk8lVpGZHDwcY1Z/LLpqvZ4fERah+Hf2ou/dzdmtbHiXYeOvgcggAT6vW8ocxgB2YfSeXkPV/o1tGs1tNuyzriq98k9ehtpJbeSoK/lB2rZnJliaIY7BUsrM7SKt/G1c5Rf7Os74auyM5kYEE7zbL57ebrzyWMEmP0MExrURV8jKhzJE81td8oMg62RoW3tMWrDmb2Bv05lRktXN/9XqYPe4M3xp3Kj/3H8OSIvnzdzswhQwUPtS/lhYw91AlansinW+7l/KPRK8IDBKy9ANiZpE0TN6b3oMGhPHerehrYnKVci10FDcwdVYbHLvLhCfowqRQqZFNuOW9PTWBPnoVvhzt5b1ICJy9fRNfyGhLdjaQdXsgZvZI54eo+2Gw2zj5HX3stEvtMLXtUxp3bCaPZoGEsu1crnMBQtZfyf23Es7US1/zDhA430jNZy516d0rscN+E9apHMW5sXovnEQmDoE+eaI44dzYBtAP1r64QO3wSNaLMHl/v8L5UD01ZlGSL+WFCU7IQfeh1NTOOavx6L8sxjPBGl58wAJMzziKlrBsZVUM5rzHs/RFlHIe1lustA6On1nc2tSfZqWopyWJd0+cugb6khZJJklSjqnOjxFkRkiC2oERJbZDG6hCdGyWu2x9g/fwGLlm2EaMsYw20rmKAYG5L5T8uHnroIW6++Wb69IleMXnBggXs3LmTTz75hAEDBjB58mSee+453n77bVwuxRU8Z84cfD4fH3zwAb179+a0007jnnvu4fnnn2/zHv0vQWTGWzSMazeOsXljMSdtxNnlUcwpSzXrXQEXU1IT8I1XhQy92Lis9Jum76keVV37lEVxLGu4sul7T/sCJiS8EvP47UIGrqq30i1g5PY6O2XV41o83/3mGG5y0cHihp4EIrw9x+A5rOUmnVEbvXZb38Z9/LjoIXof9vDEH3VkBVXujREjhLOKjKgderxRNYYuqZzFg4XTWZjWvCCw1gCMr/0Am1vl3hS4VlItpNMQbldiLdC0Ty57BEFWOsfTqyfjNUTvKKU/kcablZrOPHOM6uuthF9SPRVBKZ+QlE2oXPGElQt1zLEqZPG8iHtmDFWQfPRezX6+yBzHt5n6UgtP9bRx/bBklnYbwI/9x3DPYG0oeELdcp7bG1uJvDHlIhpSLmdV1xm8EqeGggw2rcHw5Fn6ASWK/QlAYsUSypKVwTPv0C+cNP8lbv1UTVIIHvyDjGu0Hpzx53cjFmzH6Ubnv66Ed+0D1Weq7gcl87DsmfUEy9zUfLq7aV1CQDW2tra3IBqjPxOvPXkf976nvpdGW/RMLd35GhQvxqkp97bYLq6hM4IcO6xeG0pEkg0YBTXs2KwOLrUGCVkAQ5qV5jzsYxmjkZ4jSZbZUqtOrr4O+426NO7jkqMfkWqs48Ijn5CYrPXa5HgMrGwMYUTh0uWI6rRJ3FuPpV41Yg7G6Z+VtJpKRmfMpHeiSiL3uz5s+uyNUedtf7z6kI3Z7uNwQKa4Wd26QnMBb4ybhb+Z4nks+EJ/rkTSfxL/a4yj42HVqlX07t2bnBx1hjpt2jT8fj8bNmxoajNu3DisVqumTWlpKYWFhTH37ff7cblcmr82/HXokxbdIG4Jz4x9BoOpUaeRdNuQ27g2P4PHeucj2dWOIV70ULZkHGVLxjEsbg6xMCHxdXrYF9HDrucwAZzotZAgGzjFEzudOhIbrMps9F5sLCOeexMUr4CMwLoYmTByKBHRq86Mz2gWxwjKRob4XmW472XOCl3ObiQeCrhJDmTRsOtJOu55EACrQSH2CkIIo1AGiNiMG3THS/31By4rVo1HDFZkIXbndtT7A+ML7Izs0I6VNhuPpKphhfS65SzcchNz9zzMr7te4/KK03Ab/73ikomJieTlKdfBmZhAsaGGaiE6ORzgZ4v627wE2Nqs3z1mHPnEvpQHXqMs8DZlHyiG20/WDXiFABvWz8Do04bskn2FJFSq+lGfdLg75jmUJ+jDcADTDlzLV/FKWOG0VIVzZfLt0RheojkbX9w4gvY+fNu1hFJzBfe0e4l33Lc36Sy1hIVDyqlK8DOlk8rJMYrqM9Zn90YSG/QeuH0TxlFyyy0cvmA2ktdLrzG5nHXPEEacqs+caidqB9teNu0QYw5zZozO1hFtLRHv7w/DtRyok2qDfPbAs/xxzbn0OHwAY8QEV6xpnSdRDheJyLHs1K37xaENIcY1xC6NUhyUmVP1KkJELTV7M77MUaPy2305DhzNCrr1DGtF1UcYR+s9Ii7biVSFDYQkBB6Z1ZuplYsIWG1IBgOJoQa6ygfxTVOSVywy9AuYqGz2PNyDEiITJDCs1oa4m+Of25Rtj1GMxMABQGwSNt3vlzga1BstvgjDdcg+xbvcXMbtmXozzlY8qwA/EcAX/PczKv+n+H/GOCorKyMzM1OzLDk5GYvFQllZWcw2x74faxMNTzzxBImJiU1/7dq1i9m2Df95PDPuGTondebpsa2Xtz+hwwn8fubvOk9TjjMHq8HAZXnphHokNS2fJw5p+vyJPDLqPv3IrI7rTSVJTEx8jeuy9KJufxbHonBGBAQETnQNpzW1rz2F1yOH3QF5/gLNuqdCs6kkmTK0WVonoxgOWyQbL+DVzHKzLNeSYz0Pk6CfcUs1vXlo/8e8v1LlCVW1ewefY7iubdM2hgR8ztFcmZ3BH7nqtTUGDuAwzqed+WL2Ohv5JXkrR7NvxRHXct0mAFkyEzAqg1lKSgqnX3A6Q0cNxSVZeWhnIvulVL6zrmWZaZdu223GIsoMdXxoXcyXlpXMsS1j8sMjOOBXjIMNzp1c1q6QPSYLVcHHY56Dx5NEfUgZyKa4FaOuwWjAGiPE0VpsNDfwSFoK2ywWXq2fy8UVj5Jc8Shn1+zk1PLfdO29cROZOT6HZe0G8/VgD6HmbgogJ6g1rkvSffw8uoxVacamKvcZ1Ufpvm8rQzYv06h6CxG8JrGyCtcvv+JZv54j11wLQHp+PP2n5JNZvY3Rax6k8wF9aNYiQGebkXjUJIMBqZOQRJHGpSWEkKkKG0uxPPe2Fgi5p+VbyKrQG/MA5U8+G3M77f7V7X93qsWxA8jssGivn82rL5sTCZeYRYldvW7NzfQik/JbDWVeGgwyJ0SkzfUJq5Pvl0XqJQlZljkaDssd8Em8ho/PJTej7AYMCFSmZtG+RNEsG7M3nrOWNxDon8y1rug8oU7+44enlixwUbCwjJFeZR/+8D2RZS9Wg53Iwj67vPqJ2zObFMMw0ythbMH+6RwpG+LWGz+rFyhX7hl8yMGWOW7/TfytxtGDDz6IIAgt/q1f3/pOJ1qKtyzLmuXN2zTpzbTgwr/77rupr69v+jty5Eirz6kN/3PkxuXy3czvOLHDn9PQSHek4w1pXc6JVnXWf1t/Vfvm6qBSWd0tW3lJmhF1f9/EBTjXey9D/a+xW1IM5Ky4uX/qnAB+Cs9IV1vVjmFiRJnDRJ2qkQIL2o5E8ubxw+4XqQj8S9lvxmQk2UmdGD01PLI7+6bZvgQhwK5vkihfF71Xc4UuoGujtjTHsaK9zSFjoDrvVRpSr6Iq/2MCdjUs07VuGSnmlxEEOG90NvcPHUXQ1oMsQwFvHy2Pur9jaNzzCJ+6B/CP2+/hohEOTvrlJG7beA3fBvoSwsjycNHTnJ7tSZrRkcxb9QKPQUHEZVCeCaNZ4JjX/778V9hjL+SGXL2ekaeZNEMgXOrC/V9Q7y02mxAWPYCUpfyWToEgaxP1ntOgvS+ywY43fhqu9Ft16wHOi+HhdkgCvqx8fJnt8OZ3Y8aiLxm/WuVOJc6cSfI550Td1rN6Nd4tCj8vsH8fw9p1I2XqIzgz9fpQ48Iq1XlCCUlGgf52Ix3i++Daq0xE78PLLBrZToiSu5frtgfF+9LBYiDf0szT4rQxtrE26jYAtsF3xVwXibhLroLTlBIYsqWEZ5K8PJPk5cUkxfOx0vrnPBdjhz3M/CwTH7UzURYWjHUJEnvMItvDxpapwsf5YiNTDQ1NdcOynEr4tr/fxGKXyOGIzLAGZD4lwG6DgadfmYMt+SZ+nHouXqsdhDiMlm50KwmS5LBijhHy2t3MYBm4S++t/a02xOwaCz/Wh/ihLsjusBSD0ZTNrPY3ato2RIl2Zfpl1s9vYO5St6YHW1CvvYb/Wu/lyU0eVi1ooNNyNZHinvnVrJ/fgCl8nnfYnKQk/TlJif8k/lbj6Prrr2fXrl0t/vXu3XIq7jFkZWXpvD+1tbUEg8Em71C0NhUVykPZ3KMUCavVSkJCguavDf87YYggQt7YWStCOXbwh3zjnAACvB2vT3OuMUjIbuXNvSN4JQW+T7nVNJHXE6JrKB3DIId21rbbIvJ6gpdlNpXgmWz8qunz0RgZK59bHtF8H1k/FEtYZbg6cCcDim6iOOHDmMZVLEzxP00P33vcP+QyGrx2cq2nkGG5GSNqZXFJTsUq60OFQ92jNN8lQwKSMXroCKB7aa+mz5tXnsrGVWewas15pAbrGeLzMyBgwucco9nm0rp6Qp6Cpu8DHlnIWXOVCUqJW3tOJWICOUM6EjcqF1Oq6jWMl/Uzaq/Xy8FmnIg6WQ3HhBDxEuBTm3bg9piUgeWSeq3xEV/9Vszf3RKSytX7ekdGGpPa5fBroaLsnCBJPL3vuRa3jzQ+L/xNNYE3FSewfHUZ19bWaTcw+MFgJJiSSUqjl0nbD2lWG1NSSJwV1tkx2cGoDaFWPP8CsixT9fo7CBYngmCgXa62n/7e4ccRDrM4TXGMizfRPlwguPH7w+xDZHmY4PwZLXsH+jqMmLLV+3x9fga/D+2O68efcJ7wDPGz3kKwJ4PZTvyst5TvppY5LYLNRPIZXRE6jYa+Z/GH2I+NspI9eLPpK06oUbx1a21/LlvqmoUbubefnbeKapoG17W2ED86AzS3W0RgpVnZ/65wQsEYn/I+b4nwzFSJMkK4S5iX2gc53D8UtuuMyaoaztllLZOcUyM0QU7a6uOyBfWM2e4lqVHk6l/rYm5nNCoTyu622OZCoJkmXL5F4JqXxpFoVLSpIhEvweQKEbMMX5DPwt8bWbmggdPQvss9TH+fxhH8zcZRWloa3bt3b/HPZovuJmyOESNGsH37do4eVdWQFyxYgNVqZdCgQU1tli5dqknvX7BgATk5ORQUFPxHf1sb/v8PUzOX/f7GTO6vUQpa1kXxC/simm+VVb5Fo0HrBYrEzCQz7a1lnDjdTbZ1HZ/F+Zu2ibRhEs0ftXiuw4WdDDRo1aQP1A1t+uyVFIPCUGmjrgUtlGjYJ+fhxcaGzO68mHEGgiBhMewjxaKSg33S4Kjbzu1xNS8ffokry85glPQk1XmvUpP7QtS2Y47OITeoTkKygjXkBCrJCFSTGqzDCJzny6Yh9Up8jhFN7a6uc4GoHez2+IYiBVJxH9TqNy0MdmPGR/t5b/khPBFhpRpBn19eXV1Ng62Ug5Jq5HiNqlH8gW0xc2zLNNt4IvhR3QPae25zL8NR93XU357U2MwrJgVADhBX8wFmv1aGoCJCoiFBkphUc3wl8GMhj1PrOjctS3FB6R9pjCzO5qFDPckIKQPx06nJjLpwFKX2UpLrarGKEuOyzibenMJJyadhiI/D1r07Qlwm8Se/SPyMl7ENvlz9nb17UfX663jWquFLYzMvWnWEpkWus1nplnqRSyJ0qZYQ3QApalT3f8lwVfvqylKJUI0P16/zMdiUgds5+VHiTohNZgdwhEngiSd1JPfBETgHK8/igcpGLgneqZ5PVWc61SvvWrS3utQosbi3jUfOTqG4mb5PWp++2BeWaIZ5kdiE+MOC8q6aG2KT3O2ywMwIDmOtQaZjWZD1fUdhsqvvyWkbWy7lc1GjDWSY6lGMjpxakfE7vNwwt550V+w+Y7BTefe6WLU/IrIM0qKGEAtd6tVqn2Ch9P6VjI83Mzm+5Tp3yUE5qgRKp0YJ8W9MlPrz1fn+JhQVFVFTU0NRURGiKLJ582YAOnfuTFxcHFOnTqVnz57Mnj2bZ555hpqaGm677TauuOKKJk/Peeedx0MPPcTFF1/MPffcw759+3j88ce5//77WwyrteF/L2Z0nMFPB38CYNnZy3TrR57QgZXzlJmzZXPLJM4YHmsAjpgkhocnbsPjPmZ142wGOr8m2/oTBnwIGwN0TIZbfJ/qtr24Qx3ErnACwA0GfSj3EBKP4CWAzEPYMYQHyIpWVIQH+FYczVSDNmz9S4eRnOtP4F3LczgM6uD0Gj52I/L8BgO3DHJqtlmU7WBW8SQeK4hd1Bfg7f1fkmSp0y13Sj7SgkqIpNqcBMD5a89FMnTjhrhHscsyORVDaV5NzX3g9qjH8QUlHv55Jw//vJONJ/cjtKOaajkEzWiFb3z4BubUBvJDfxA5TzxsKSUQin6zyxJVyYdESTugnH7odFymBj7VOtNw1n7O2P0u9udM5nBqGtaqezBKrSuQGy9JLGHYcdvJBgeC5KbDZ59yzo1DWdXdwIw1ynOwo7gjju6ixui6ZdktkAXnFCv3MstewPS8KwAIVisFYOMmqx4tc95QxNpDBA8soubd9xHsycRN0yqvT080sS0kcqPJo5l1u5DxIZOCgCmGV1NGblLR/ubQc6RLcdSFKsnvdh++ZoZFYO4hyuYewtpHlRUQYqjtu5DJPr8HST3TQICEaQUYEyzMfncNy/ZVkZukz34NGswYkLm19m2eS75Ct36tNci+4lro5eD3vg4u/ENlF0nLGiARBvnVa73DInJHl208s0cfHvWGXUJdQkb6tsAL6hJU9IpsMjQ0zOGsucmY46KHzwFeT/DSKMAy4vmxXjU+b69vOds3GuLCk0iDIDDUYWRtWACzQZRJCXPdArJK4AZIjsgyc8bIMGwNPCGRePPfY6b8ryFk33///QwYMIAHHniAxsZGBgwYwIABA5o4SUajkblz52Kz2Rg1ahRnnXUWs2bN4tlnVWJeYmIiCxcupLi4mMGDB3Pttddyyy23cMstt/xdP6sN/2XcPexubht8GwvPWBhVXfv5wdFrFQG8H+9jkT3Ar/YATGiezq5FoUlibPwbnJ5yJ/0nd+W6NyYy4u6bMQouBEH1VHYW9IJ858/UcpxGR5mzpItn4BP78XozuvZ8gvxBiB1hRtF+RJbFmIk3xy3Ba1kl6zvsVXJvRvlfQgpbg2VIfEqAjYgEqvw8sVkbRny7s5Xv847vAk+U6mKuu7PwPQD6NewBIK1BJrN+AOmi0skeCPSKuW1LGPjzFjKu6sfpXaaQIyrhviJnEcszl/Nz+5/5rt0S6qwVmm0eznuTJRHZS/kU05vdDAwJbEpUCesCcPJOhaA8NFzDLi7kJLHiaeKrXiG59E6ctXOwN8zjqOMIY/dvJb7sxqiGUTtPUtTzN8jwByO5YsX33H/gNTasjk5cdyedy+jBP/FFg5/TVso8856ILTyRN4dCbKMbV9Xoj2sMKMv8e1TunOROpe7XQ7q2tj5nA+Cc/LDOMAIwCwL5YQ0jCdjkOkwdEtNp4DQaGR+mKHuiGO9vhHldiZd3ZeqWPQzYtoEJuxRR07oIvtHlEWKClo76Ui2RcCEznQZOnrsNwSggGARMiVaemreHZfsU8nVJnZeSOu3zPLRWGVPS/NXMMmhDqhssIfaFpRw2jOjJ4QwzPwx14Dap73iuaKAgqA6togBpB1ZFPUdvxAg8zdtyhutt9Xaud9nxJcxEDBbi80ffJ6ie6f/ppH+gw0h8hHGzpV59Lzz/5Sx7WVsd6+AAAHI7SURBVJZxSn+f0+J/jXH0wQcfIMuy7m/8+PFNbfLz8/n555/xeDxUV1fz8ssva9L2Afr06cPSpUvx+XwcPXqUBx54oM1r9P8w4i3xXNTrIrKc0TNNsuKicxPEHDtVRpmNVpHtVpFrzmx5cD7FuII+zvlkWfZinBiuJJ+mrwT/q0VN895tvYg11mvpkpUAI64n1fwgBmp4ZKw2z2UucTgQcIXOoQ8mOkV5bfeEQ2kXR4QrjocTOpi4InBz1HW1xLNHVtLkL4vY52KCTCnXG19vd26Z45ESqGsVE6qjt5hxe7ycfn1fTEBt8PpWbAWmhC0x1xXftQzXwsMMEHMJmWpYl7GOcoca5pqdo302Sq1qqrOZIJfyFWfwK5Wpb2va7aAL58qd+XDvo4yqVLw7BgycW52NzbMGU6gUR8M8BEQK4wsBEA3aLJ+TD5/MCUdOYEj5xKjn/oNfEb01hiC7uJZcfyU7V5xMUtkDpBSr18YXN47vKuq4ZfcRGi/TFjntvX0Hw0eNw9Zffy3rw05Ac0RGIUDjkuiq2rZBl2GIi83PTIq4yzckJPNNMz7RbkT2RZGomEOAADK7v/0KGRAFgbq4eHzbv+JLi/q8xZIFi4b3wgZXSZ2XHaWqYfjGkuY+SBW94kM4wvXN3CEL30uj+d0W4IhR5MVEL787gk3hcLGyDMEdYu/eapwh1bAZ4DeS10zS4M6QqpV27eQUpo1VDBu/8OfDRt3EBCxxs7BZRxy37afF7+Fv+KrFNu6gGrY1AtMTTIyLN5KXCIkWgQAyXmTW1CylvlE1ojd4RCRJ4oc6NZxm7RpbpLe1OFbSKCiDYPr7TJT/NcZRG9rwVyLYLUnz3WAQGFKgf/GX3j6BwidP4qWLxioLzvoYLLGT8c2CSKHtPApt52ETgmSOvUxZYXFiN64nx3Yh7UeoXKKbsZEYfk0DYS/Pyzh1+/0Xer7BuzjJQ2CEoIbHLjX+wsOm9wFYVNSymvGJgadIMH2o0V5ZTIgtrfRMCXXKwPj4jmfZuSp6IU2f2F/73XctzxWGED/ZxUlJZtziNKoDqiq+KVGfvWp0HMCa+dNxz6ef6XHONH7WqnM/GH8QGRlT3GJ2WxSv2HfxatgwPxjkJyaDMUSGmEKRsbppXfch+ow3gNHB7rplVsmKM+RUZByKTqR3jZbYHFmwdQtKRlhKqIH5B5Zzx4DLiYa3M/X8sC4ffkTXO9/XLX/gfCO788CU3jryq7mdPsSXOKM969zKM9E8bPZ+M+PoctyEYoR938LPmTUduHbCLTx8+T849Zm32BI8xGcRxtGIstZlj60i2CSaCHDSS9Gz4Zrjvm4qp6w+aKeLXMQGm8jn8QECzaz7h+YspMuW/TRH96DW8zta0NYV/LjkSlZWKiV76gz/HqfGYI6tAB6pUv5a3hl8nT4Qf0MUpXvg6+63Y2xc0fTdLMBvhiAnGxv5h+BlOg1MpIFTaeCOpN6IzUyGn1zqsRIN0Lg7NjWhPkYNxub4NdvUdC5/MrfkP4o246gNbYgGs8CLlyuz6dfPVwa7OZcPZ+VdE1l190S23D+VtfdOIj81bAh1OwEerIeep2j308Ism7G3w8R/Kp/rVE6R4eeb2Gi9ip/N/+Rc4aBuswQEBlKtW+5uNuh0w8jSswN8Zn2EZZYbWRr/T+4zzSE1rG8UbEVnFW/Uzzqvw8NTm44v3GhZW4l1SRn7jsYOSXokrYJ4QG4e5hTYI53Q9C03XU94tue/g8HUiLPTM9hy9MaPkt0jYzHsp/44hT2PYVPaJo7aj/JJuoszc5WsxsNm1YAYXdEfHzaKDfr7kJ4R3UvZTdSWULmo7B+a7w7RQbd6lZg7vFyrI3XPPfdCL0Vbq30oxMVf/wODrDdwf2w3kbhcbajIu3496S646hdt+5BJ4P7ZJrLvOSnqObcGziG5jJ+tGn6T7S0n0ayIIW76ddhjU5iYw9KBihF23V2PIGUqPBmhIchnnuN7RuWZHbkdr2751BeW4AnENuzPLf6ClV9pBWAnHl6ARfTTy6UXidxY56SoQSmhUWGI7tLaagmxRVANGWtWhJiqECAo6OUCDiTuYa01iA+ZFxNbzoQ9hnfifbwX7+PjOB+/W7Qij6W2HDY7knEZ9d7AuHBhaklSvNUOY5DP/fp2jYBoMHHIUYAkRpdQqJdgaxT9o6ZjyUEajtPn/JBrYsQf3+CR/XgkkIMtT+D+m2gzjtrwfx6nDVTUZfvmJfLIzF5cd2oP3uxdwMzOGRQ+eRIn9lEGR4vJQE6SnexEO4kOMxnxrcikvKyZknakKOWgi2mS8E4uUJcfWESK0EBv4wHSLA/qdmlwmrjY+qVu+bRmsnNJMzth6D8TTniKdld+Sf4tv2OYfD9Jp0XPJouGRVJ0L4irwsuqBbHVqAV3EEEGwSfymTiJElkrSIlF8cKkmF/ULA7J7XX7ei7CK7akuIgLTapr3xS/HSEcmjBYqjHFb9dtvx+pSbl4p7V1yuUAdda6mOuEQAEAa837+cyqeiUSDc6o3DaA2zpoazhaD+VrvicmKplX40vH06+6Hzke1ZhKcFiwWCww5WHNNvcc0ob6jiF7jIvuZ+sFPSdtiT44BQ0ieU+O0S2PH59HwgkFUbc5BoPFSEIP9f5mV7Q8AH4ZI3U/VrkYMU/xlMrxZv4gRN2+nwhV7o7a9lNDgDE/bI66bm95Iz3vj16fr6P7IGlBvdfDIge5qug97hqTwbAOWomKWtTaYp/FR0+jX2UN0SCp2xnMamZkfPf7AVhpCxGMmNgsLfiOJfYQLyf5CAjHNw5+sweoNcpUG2X6m0xcWKJP+liaOoapeU9SbFeNeZe1mmFFirEdbPiCoGcZpZVvMq1yY8xj/Zo5jUALYbriKPXkjiGw4R3ijQKunLgmTyPAdq9I1u2DebmLhS8b97NIGMlUwc/PRU9jsP59OWP/a7LV2tCG/xaeOaMfN0/uSruU1mhT/0kkNxvsz/sc8oaAzwUJETpLw6+BxXplZsNtG+Axbe20xOkdSbW+DJ/oZ7PH8MN1o4hrlxTed0QttjG3kFbWABRq2vcIGNljFmnOf7w8qE2VP4bn8LG34SigDQNZF5YgJVkx1GgHi1H+lym0nYdHtnJu4F7Ocezl3MAnmjbFPr3KMsCGCE9DSMrmYdMcJsoSS2rPINM7DHf7+XwgKrNlwSAS1+VhTq+T+LDyQQDm4OMeQxU+QeDV5KSox4iGXclqOPLsHNUDeEvBKRw+pHqR3IL6WycOGUu8NTrvYqdNy3UxYMLmySJobuDGO67E4XAwd+5cNm/eTKpfa0x2SQsbdfFaba7LSr7h0Y7aWnsAteYE0oO1WHv2wL9Tqxj+0bMhbr/MSHmyerOrvdVkx2n3nX5lH6wdkwCIG5pF6cOro/4uAGO8hXn1QUIytCCH0yKksAaZHEXtOxLmozvw7vgJwZGK7K0lfuYbTetek1pOZ4/EJ5cNo3HRp6xatgpnKLZH6tQ7H6DjwCGMAYqqPfz6whU8ETpP0yYgwPOJXm5plg3maiYJIhi1E4pBYiMbjHG8meDj3EYrU6d14PVaNXXVmvkL33e9mFlro3tqf3EE2GERiQs1curRH+hrzaMIxdg76NSWOzk/vg++egcFBj9jfWaWdn2P07ZeT5DlyJILwZgIBDhg1YftNZD1shixIHmqcC+8D8GeguypouH7KxGAmmEPsSCUhl9WyPvTUmx82NGKbZ9qSO6O64okyRhaUEn/b6LNc9SG//MwGoT/jmEUDR3GgcWpNYwAmhUPBcCZDvFZmDLUDteQYME5KJPklFR9+wj0O2YYRUG3rHjN96mZSZzssXBrvZ2x3tbPl36KS8a8LWK27RcRJDDW+GNSBSb7n2GL3Jm7a6ZrlnvEkcSN7UjiDG2HvrKZ0kxl4DHqgxfSRZxJP6MR0S8xMOlSTRvB5GFDojoI/YbIKV2eZ0hB9LI/59U3kCiKfFzkoltZf2RRTy7fGZHYMa7XeSRL0QeQpB5ZMT1HkZixQyFHx7u6klI9iMTERMxmM7NmzWL27Nm69lOKnlI+NEtZt0vRvTBVFsVAi8/Xz+QdZgc9jmiXT/1mKmuOrqHqUhtL45WSGuY89TkR7OpzYUyxkXXHEBKmtSf7n2rozy8rmj5xUTKM7l77EWKOA8l5/Ocr1CW6yK5puxLOWWZ1sCu5PbKnmsyTOpE2bD/Jk2xRPV9PLXs15nEGZ9swGgwkhBowNtMG6z1hKqff8zBTr7qRjgNVsnp+qoPqpL7NdwWCH1GAb50tCzEa7Vpv3rgGpfiw1wC/5MLwmZ0QBBDMSjadKW4XhzLUc/swTjX+tllC7LCIjK5ewSVHPiYp5KLCp2T4DY8oWHsMvmJFw63QLPFRvJ+iyllkmUvonebE7DwZgzEdgPnpo3TbRqLIltvi+mOQJRH3gntAlpA9VZp1Aze/gDdsGB1NNjJstb7kz8L0SVQ3tN7Y/U+jzThqQxv+SvyZzMhJDwCQecNADHFm7P3SyblH4WKkxcUODw1t5v6PhvtO6tH0+aHz+qvb+k1c7mpdxWwAQ5naeZn2tlyQeaXYk1LSoq4Lye1Imt6B+FG5SL1SmEeAS2nkjmbcEZEMGsSzkIljcHig3flzjm5/kfwgAMmv5T05wxpFPxSXMqimN/8qSuExz42srz0H39HTWvwdCc5MTk6OXn8vLj6ORItaoua5QdHrAea6tJmMoihx3ZyNPPzTTtJy8rn0KrU0yxV8io0A1JfAm+Oa74pzjyphxuf3PNW0rNqcCDfvIDXuD1379p9/xsXb9ffh8gWXM3vVpTyR9y611yVgsKgZV5EZvcmzOmNKsZEwIV9TQPak6xSjIZqWUTDLQbBPMoHRmVHp2LJJrewmpenD1dZCF6YSxXvy6LCLuWXcDVw85R42iF6sMy8iMLIfZ7+pT22vcMR+F358/WWEGBy08RdeTkG/gfSZOFW3rv9Q7T0wOg5isCiG2yGTasgstEc3XJ+sqMIpC5y1+W6MCDwxtis9shN452LFCLu237U4O76Is/PjGCw1eC0uXj7Rzhf9HqfC4uGFRC9fOP3MsysTh/4ulfAdChvLVqllIw1A8uVxVtrtTEufh9HSFQQ79ab44273a9YpBBqie3kB3GFekeyP3R/Y/HXK+RrgnamJFPmiXytb6P9obbU2tOH/BKY+qvwfeWPL7U5/V/vdrsz+BbOBnPuGk3quSnrNSLDx/Fn9eHP2IJ2hdNXY2NXDj+HyMR0pfPIkCp88iax01WsmIJAsGTinQW98JUQhnQoRZQOEKGTL3lUqofy84H2adUflCC5GumK81HuDnLCniEfxsbfZbP65KCV54wxKqYJbPD1066YZ1cFSlrXG0s/FpWw7VETHYIhqkiklk3Wycn1DDf1oCYmWRDpcN5yZfm36u8FgIDU1FaPByL8m/IvHRz/O1N4nsvXCrTH2pOLtt7cwd9tR3ltxiH4PLWDsi2uZMvMsZpiWk0tYduCFnnB0s3bDQZfwwt6nKVsyjvPKfqGfS+Hi3DDwBT5otNFoddDjHK23wtYunUHzl7R4Puf9fgH3Lr+Xr/aq/JL0K/uSOKMj1i5JUbcp6JPGabcr1Qg6Rej8PLfsdX4fqnojAiMzkJwmQjkOxBw7YrYd/6QcAqOUZ0B2qN4lwR3CtKOW0Zv1xORyZwpXWG9i9+bNDHhkIWsO6TlDWf+4IeZvvKO6L7vc6nNhDom0q3Zx/n2PYXXE9iSf2F8bKrflfILkV0j4kkBTfbbNVi1fyNlJMV5PcntYXXiYDK/yfo9sn8Kv/xhD71zFqD7dmoNgCDbxk1KO3o5PWEGtoxxb1veEBCgySyBA94Y9GlPUY1Suk60VxhGAN1wSqC7lW5Y7bCxMn6RtEEWhOiDAi+20dS5lUQ0FHpJk7P3SMWceP+HjiTMjjNcox4pPTdQt+6vQZhy1oQ3/bYy4Hq5fD5MfarldrwiPRVwmdNHPWiNx2sA8pvXK4rtrtW7wST1ayJCLAiFKTL97N/2Me853d/HKH8/rlhsPNiDU+DFUKh3z1eM6se7eyWy+fwpPrHhD1/4YPgpNAZQ+8eoDOdz5r59Zub8KTyh65s9QFE+GYA/iWfUSwSNr6Gg1MMBhYvLh6/mxuJQXytVMnWXtVGJpqEGrU5UmqsfYT3sqYni0osFsNGOwGOn30Ancea5q8E6bNq3p86T8SczopIh7NtdRm7RPHzY7sL1Kt2yby8qg8+7TLddgt7bw8ZYExcA7KgrctbeY27oqnLGMforOT+cZ5XBoKQA3DmjZWP/xwI88vOph+nzYhwpPBbcduo+vExe0qAuX3UkZzE5xWzinwcIFDVbKe93Ayn6qvIAcbyYwOpNQn2SCfVII9lWeNTnOTLC7OhgaS9xYl5djKvaQH4o9VJ3+428x171dsqDF3/jc0Rx2xyk11absKKRPcSWht99D8vuRfNFDOoIzXfPdvf/+Fo/RtJ25nsyQSkRONR8GIC9SGyjkJ/mLC3XbWj2KFpEpQWtoT6xarPluCSnvSC8RBhvL6eA+xDklsQnUBy7fzfYeN/O2dCJr7DJHbWq4P89bzKyyH1v123wuNUv0gFsk2MeMd9OmpmXOE5/VbfOvs7XUgOz9WuHRcX8zJbrNOGpDG/7bEARFEPJ4aeQGA5z3JZz8L7htL5hal1n1n+ZLzX50BKdcplfONskSnepLGVG6TbPcvM+FdV0VggS3TunKDRM7kx5vJclhwSRLjD8SPfvldXEm0vh7mVL+FMsd7fmiTOCDlYUxz+uY5o/ZuRGxfDu+De/SwWpsWpcfiGOSR/UwGO2qPEKwZgySP41g3UBkWYBb9yBjoThwGyImCmVtaK41JZ0MFiP2bikkJSUBSimjWLhk7ZMMPnIi5266jy5Veh0iXxQxwNI6L+QN1S3XwK1V9872a7//mKGIS6b2cNPjnFLMThE2fAhBH1f0vYJtF23joxNbrusHMPXrqSwuXszzG56n2quXL2gOEwLtRCPZogHZ0PoComL7iBI0PtXzYm+hdo/HF12g1ZbzOXsPRc+2jMTC9EmaG96wYAF7+vVnT/8ByMEoukpGE89n/QatrGFoy/4SW+4nxNnH8P5RVXxUCG9vNEf0C9u/xQw8X65Nx7f4FY+gIMiIvRp58rQ+FD55EgU3nMrGrrWs6KO9J3sMIiP2f8vJFfOwi1oyt6OjOsFx+WVuLY0uQDqz7GfyfPqMx2PYGqE/9UqHaxAjAqbfvHIY/zZVW8lgTSB+1lvYhqqaZUG/1huYU6K+r0vlOB7DQaiudR6w/wbajKM2tOH/T+g6DQZf8pcf9vQ7BzV9diRYSLBpZ21XbFNnkFdu/ylqTarTB+Zxw6QuOJul33api662DPDjga7sT1KJ0tFCIwCTEhQCtDHRSuBwUdQ2Zf63KPO9F/NY7oO34Tt6FuflPQfxWbhGrgNpPGf7RvKJX2uwfFAo8kNxKV+WHKV7fHtuG3wbr016jRXnrtDt95prruEf//gHqamxSfJW0c7g4hNI9KVHXb/eqtff+WjVYTze2PW2mjDjpaaPT+5rhUzDgUXwnurlGpAxgDcmx/bwAYgRekrXL2pZtdyRaMElSOwyh3iyq8wjZx+fAxcN+QfUQb0l4yga+qR/iilhc6vbi2L0iUiwrEy3rNpbzbzuIaINn87Oj2GK02aRmpM2Mqp7GhmdrqNdSL2ONoMLE344xqsJeOD7qwl6DEys89HPG90wsOZ3Z8YghRR91uhLqB+YgtsWW7+pJllbNua9mm0Mz1bO/bx31rCnXC/JMbZ6GQZkbEk3xeQgrrAFqTBI7A5XPTTGrJsHQclPjvUs0tqpGY+/3qT0c6Y99Zh21XHYreqDecOkfmNi66U3/tNoM47a0Ib/B3DrFCU0cNW44/ONoiGrQyKTL+7B1Mt6YbIYMRkN3DhJJQ1PKVrX9HnEZ++x4q6J/HHbeEDJ9vvHpC7cf3JP3X67LF+GMYpQ4THctO/4XoUxiRKvntuZhMn5pF3Wk4aFC6O2k3EgksGXe9Tq7JY0fcjlrd+UwShhQjsSprSn4416cvUd/pvZ5htCd3+Qr07+kot6XcSYvDEkWNRMqreXHuSRn3ditVpJTv5zZRNMZgMXPj6SaVf0pkGQOWqK7qp64p5liMJxCPI/qeGx5KCeBCv3nAXAISmL78VRipOkGXepV2rra9dtr96OJMf2mpQMTuTNRD8/O4MEB7ScVdkSHjtJPSfbnxCSFsxVbKs6g2Dt8OM3DuOT/HOiLg8UHtYte2nTSyzdqzfi51ruZmXpLrIiis6aE5X35vmxj5JmtTF+sKpSflLyE1yVdQ51r43CHQzB5jmUrEpi/49Z7P02m+ve1hvGUspZFDhs9F6+nfpgiLmVdaxPfACHGDv9vibJjS3nUwzWUgZnvsxwn5/VR1v2esV7gkzfcoDOB38kNRiiW6aeqN1ogA8T/PyUpHhdIzPpIrGjdwE/FD3PBnMeS7K1hlj60QpMhY2Yitw0mlSv4W8NIZLP6PK3lvZqM47a0Ib/B3DdhM4suHksd07Tl6hoLboNz6bLkAg9nyld2Xz/FH6fkUl8UHWB27opKs4d0pwsvX0Cm++fws1TupLo0Bs6prQ0rnztwX/7nABSNi7n0IlTqP/qCQ5fcLpmnSzqs1niI9Ps5ei8BVmWuX/uLt4KeVlSq9dtOSjn8I/gDSyasTJqOZiKBh+P/bKLd5cfYmNRdMXgY/A2as/xin+N5aqXxxOfYiO3WxJvJGoHlVSDOih+HO+nLtB6DllGQD9oX55yJjIwIfA8NwWv42dJbzQk2ZK4sKfCdTm729nHPU5DILYA6Dsbonv2AEz79MVvY2HCqDwuE+K53GXFgMBwn3ovDZZyXXtr1rfYOzyHHEwD2YK/fFarj+WyxtFg1ntDj1xxBWKjooEkSiKeoIdv932Lr1SrczTKVkgvw2ESJYniYFf1nDJ/5vQup5NoTcQoCOx2duSrTC2XMKlmL5NWbkBqrMV1WH3WkqJIL7mMBWxv9OKVZLot385l2wtBMHHvnNihTp9Fom+HIJ16f8kHrthaVZG4cOtiANofWcj4ZTfzxVXHNzQrTDJLwtWO6wXF+AoZBIqMRkTZwNOmM7m81yOabRq2xigHI4BzcHSl+b8KbcZRG9rw/wAMBoGumfH/ccG0JIeF9r1VD1LuS1pF6/xUB/G2lr0/KQWx60C1BhOOKMTOxiVLCBZpB17Zrxg2RwISP9UFWZ8ZBwmqK96UuCHqPs9/Zw0frz7MK3/s55o5sRWBL/+6kHWFWoMj6Be5+T4122tDYXTjSJZlfv94FwvfU8MsV708DktkyNKi7YIvbLByXq32en4itlx9PhIFvlLOKvtVs2yuMY9N8Wo232qp57ET1LS7fcjtbLtoG3cMuYNBmYM4scOJjM8bH/U4rkDsNO2C1NgcONPBRrob9AZrtlX9zYZqH5alZewqq6PbiVswm5RjDfeZGBX3E44OL+Ls9AKCSWtoGR2HMJqjCxQmGfSK2p/98qDm+8c9TtC1Adg7eDD+ffu4dtG1DPt0GLKkD/U8If2r6fOdJpWcvO3wPh4cqRznp8o6AKpN+gysMQfmsedafe27y+Zrva5BW29dGwBnIMTK3tENpPM6nM6XM75k4biXiBt+LZzyCjdOjM2PA0gINuMpVcTmHkXigFk530TZwHs9prOgj+rJ7rdT8aLtbIGbB3Bmo4WeI7NbbPNXoM04akMb2tAijImJdPzpR9p/9ikJU1vOoIuFUweownFXb/2eB1e920Lr8HElkbd/e4puEXXnmkMONHLIL7LRIyIBJXtqsZ/Xg+s2P6jsw1qJYNIbLysPqAOJGCFHcLFxnq7tmW+sIhCScPtDlLt8/Pz2No5G6Nkk2/SDfcAXYsuiI+xacZQjO1XjymQ2UtXoRwofs9ajnTmniQK2ZvyaF5jGn8ELe56mv0srqndhj8eaPs8RJzPT/zCFR/UZcgAWo4UPTviAp8c+zV3D7tKsizMroY+WjCObWfF8hfK1oR4hXDLinrQ0LspRw22Lh3Zj44iedNhQi2VZGZb11Ri8Ii9teJ1HDr3FJ4MeoMpRzK89X0XuXoXRpqSN2/M+1uzfaK2kce8D+hMy+Ah2+Il2rnImHFGN5fiAm0dXvtX0PWiIze9a+u4jrCxdCRBVByvfoBLhrzb+xHvmp1ltuZZ3Sj9g44LDLHx/B+3DpWtqzHrj6NKnP4963Ml7mnGJWggznbw+ulfO/P1iJfPuteGw6lXwu5pkA1qL8qefOX4jwBORWLC80yRcRjVUZvd7cXga+ceNSnZfKMZErn3IgKv67xN/PIY246gNbWjDcWHt0gXHgAH/9vYvnN2foQUpTMiPY+bB5Qwr1w7enQ1evv75PnpUFzKidBvn7PmN139/lrzGyhh7VOBx17DNqxoqXYZkklqQQMib1LTMUfB6q87RaTJiDUZP6e9636/0emA+wx5fxM3FJRw0q8f8ZY7WK7Hg3R28fdNSVnytr9j+05ZSBj/6Gx3v+QWAu7/VZv4dI7XeWKcKIRqb820mPwSpnaHDWBplG9+IY6iXHRH7kJi3SVtSpMqu5f5skTsz/iW9inJz5Mbl8vGJihFydrezaQwqnpkPtn8Qtb0oyewuU0JuoR5JTctNe+qxLFdCYalxVh7tksftBVnMHdiF7k47giCQbjFg8KiekiWHVY/e1/2eoTRxH9vce9TfaS/GFL8FUHhGIXfzosUKrOnzMFiqeXnpM5xRtJBpHjNnVDdiRGZQxd6mdnXWOJ68+W08V+i1kW7poaalh1z91d/l2McFDVaWuq5oWiYI0G/fPmq/dDB62T3sffsH9q4pZ+QCxSBvbhy5y2OTjo3u4xPyDaJyzQbulylL0RsV7XcfYE//AdQX2nGXWSh54BmSLHrDJMMTOzxs69GDhRf25ILGXTy57DXO3x1dIsEbYVGc5rbyYf5sjejndR89ySVfvUSN08aC3h2ID2g9fROqFiMgULy7lrmvbSXUVni2DW1ow//r+PLqEbx/7Tg6zVPCPqfuV0NTr57Vh57vv8Xzy17h/rUfctGuebQ7jmEEYDj4pabznXyJEjISIjJnBJOLKYb19ApFr091DBNzkrG5Wi6dEA1bLNrZ/b51ej7MMdzwmTrI7i5zsWRv9N9oRWCgXxkYuwWNeKUwIfbqFTD6JrhhA1zwHfcWfM6twWu4I28ODFEHaK5aSi/3Qc0+ZbO+uy87qoRLjtR4OP+d1aw5qA/N9M/oz7aLtnHfcFVzaV6h3sMGUN0YPcPKVNjYdEcSbCbMAtyam8CgBAd4ayHg5qmq6+ggqGKCocYuUfcVibnXnMGP14/gkn478RZdEaWFhDlRMbK+G5pBYc8H6Rsw0cGYztbeVwFgDWeLrc7uzZJD9Zxe2Z6ua1RuztZ8A7KkeAebSzxcU9aVbNHADs8UygJd2W86lWrHZCo2qwZQv22KcZ7cqAz03Xfv58iyZEI+5X4U/aE1yA9NyOe7E07R/RJ3wsyo1yCjVrlnFhEWDqng+zGlHI0wkkxhL2Xp6mSKFqfhKrITfOYJzT5GG+sZEDYUTWIIS6dOdF29CsGu8LAEi4XQadM5/7d36Vd9kAtiGEeRcMgCyLDXqdzH99vN5uUO1xDvqmd151wkwUCDJU6zzQBJ5WsVbo3u2fyr0GYctaENbfhLYSkoIPXKK7ly+0/cs/YjrtvyLd36d8MxZEjU9rae+iy4Y5Cqq7jujYmMPacr067oreFcXbL2Ca6oq+fHklLetjzPbJ+LYb7YwnJdtjZiwcBc04PMNh6/8z+GaqNMfTg8Fgy0PNPtHlHX7oJ3tJ6biyNSpged2J7JJyvcjJ0WkfcqPuLVsu8gK4JzYjTxwx7F4Jt/wAsnPAnj74FL5kF2P5JytTXAgr21GXVSvJmJn6yHh9MY8/QfrNhfzdlvtY6wGwsun3IdxEx9CZBjyE6yw7Nd4PFseH86PFUAj+fQw3CEP6y3qudbO/q4x+uW0pW+eSncf8ZTUdfPDtQiGBXjp8Fu0oSlqtKU6+OPoid28y8HkcMlaO4c+DSNex5Flsy499+jaZeZplxTCTPf1DyF+dTnqN4QPXMstVFi5C4vo75aR2OJndI1SQAIBq3FNeTRj7n9bvU6fLC3kqtr63k4Kbqx2EtWjfOygveoiw+ydEAlFWl5jN+lz7YDSFk6n4dN7/Oa+V8U2s7jvl+e5fIdP3H2nt/4ZnwCneb+jDEpieTzzgWg8gW9RMSZexdF3XckRvpMlFqzCQqmpmy0tcmDcRvtLE8Zof3dtes5/QLtM2syt0LK4r+ENuOoDW1ow18O53ClRtyY0q1c+0C0GX+43ahRdPj2m+Pur8/4PDoPUuunzX5sBFbRwY219XQMKoNHdag9Y3wmLmzQp8bfNqlTU0hrZfX9dKsbRMdg67vHQY8uxBcU8bpi14I6+YZ+TSEngKoIL0tfv5F0STleen48w2d2YmOxGub4yumnqln5lvpmfCWMJhh/J7RXBp0numqJ8FKGarDIKGU8agbn84tpELIAvmm5+CZEzxByh0T8kkSWs+UMosnPK+rbwf5qGO+OTNUzsvzOCcR5j4I77DErWqnbxwjDDkBfwT4SuXG5PDvmWV69+ndevfp3lu7Ril+e2mjhCpeVLI96DRYOreCNEf/gjRH/QI7wN9688Qua48ctpRR98guFo1W+V7B2GHJIlXI42W3m3H8O02yX196KuGUdzWH1KbyzqRvVe+o+aqPrqJ+Jz1O9PB2nV5Cako45U32WCw4YuLa2nguW3EjxuH4sHNyV0zKTSbeY+KxvR97MUbxUB3LbgWCiKvdlijs8y4enX4UjEFv/aLZxIdONioEeN24scUEfF++aR9/p45vaiPWxswsv3fkr96xtWUB0lN+Mz9GHeblXMdNtwSlBSDDxec5ZbElUy/RcUvQhw+rW4br24hb391eizThqQxva8JfDMWIE6TffTLs338A5XE0T7rxksaZdysUXAZB+yy1Ny9JuuJ6kc6Pr0hxDQqqd696YCJ0nRyw1ICCQKRro7zcSBzjDEgWd77kaq08ZuAKyk3oxj9PdVjq30kAKSTIXvreWop36VPoeI7M59baBJBTELup586iOnPfgMK57YyJn3aN40GaPKGhaX2iWeD/Bz45lJU3LznhDa1h0vVebpdbVaePwOO1MvEOa4tWQ41QP2lXm2wkOChswFiNbGxRv1Oq6RjbUu5lXWU+nZdtov2Qr750wJ+I3xx54Nb+tR25THb+8ZAfUHGix/dnGxco5ivH4yk8iUDtM12be6fMoeV3lWV3+nmqQXFtvo3PISJIU+97lhzPx93Q5myHN+G/H8MW2bXw5akbTd3/FyZr1cZKgUbcWpBB7B0f3fo5a/U8mLr6OgZu1HhiXKZ7lCQqXL3NQHdaEEIZmpOuKzYns+0GRczAh0SfewWs927NtVG8mpCZQcqviZYrzKPdNNiYhmdKPW+R69xc5lG9KIOQXaJg3H1Des0htIdkXW6H6w+mnMeu0MQyrUbMxJ5as4mhIK4LZz2/iTLeVrkEj471myqyZeEzajMb38y/ilQ6Kena7I7HLwfyV+HuLl7ShDW34PwlBEEi76krdcnNmJj1270JyuwkcOYI1rKmUesXlWPLzsfXuhSUvD//Bg9R9pmT4yMEggllNBQ8UF1P2wIMEDh0i8x+XEp9yiJ2+yZrjTPFauKBwPfn7P6fWGk9+YwVy6TIOdjyFfpPbseU3JUNuotfMfnP0AeLjy4Yy+101NLb2UA33FDaSZ5bpFVS61s4jMpl4oZJGX3DX3Kj7mdozkwlndNUtH9tFTw5fPGcPvcYomX/7KrRk1oAoEQhJWEzqgG0RBIz7XYidExAagvgcRnzTcjXbhXomaYq9Tl2/l/mDuzJrk55QfshvRUBARqbOX0eaXT3HSL6RodyLlGnnopxUrZCfLMOPsYvBAqSieiuCNWMAMNpKm8rBJHkzWPvTQbwNQbyCzK+OAAmSQFWYue5slu2X6E2n3q7ldu23beWWN27m1ask6hIKop7HivK5BCpPjLoOIEcMq0w/OIzPH1nLkK5uWBrxU41mBFHr3Ytv1KvFG9xKKNZklegwej6HdC1A9BkJuo2Yd3wHfc5QFgZ9YLYhhb07mbVavlhS0EWXU4/iqbBydG0SUhRDv2ZPHDV7VN6Pf88ezfqMW27G9fPPUX//BzPOZIHVTHlXD6//82461ZdiQGZD527U56mh8I4hNTSWKAmUHcf72PHgT1Sn9qbPOXpx1r8SbZ6jNrShDf+/g8HpxNa9e9PAKggCCSdMw5KnhElMGWrYwbVAyw8quvAi3CtWECwtpfjOR+HGjXS/9Un6jNMaBaaQm/igl/xGJSSTXrkZ0BJBEyUDt9fZua1Oz6FJsuu5KlvlAL84g8jIlBslrtpVyO1fbSEoxlYkfv2CQVGXR1MHPhYOOlITnVze9b5f8UeUqNhT3oCxSjFa5Hgzh3rovVeRhtExTFu/V7cMoE6Um87hyz1fatbd+LlKNs9OVzxUo5KbHe/oZqiLLRJJ/kjcRv218hRex4DiyVy96kXO2Xwv6+YWAvBhvJ8DZqnJMBrkVwdiU7juXrSSLe/vUsrMZHZMwh2fH/VUWjKMLmiwUtBDKYuSnOXkmlcnkLrqM02bLouPz8mxBvz0PrQPgHOGPMe8Ef2b1tn6aOsbBt3/X3v3Hd5U+cUB/Huz05XukS5aVgttKbQguywZAoIoCCKIisoGUUFwgIoCDkQRRdAfKKg4GKIgS9l7U2gLBVooHbR075G8vz/SJrnNTZpi6cDzeZ4+Jve+9+bmppLTd5wjBooqeyZPrgEWe4PFC2eLB4Afo+dAImdw8C1Bs37WTW526sofipWq1YLtVg/X9dymlJZDI5VCIddAVPl78cb0eWbP76UR4ZFCKTwqODxaKINQYngxq0Dnk++hXTvra/LdDxQcEUKaHJGtYdJr9SCiPIWfsC5p2jRUpKai24hmAABlcQZCLq1B63j+l7tt8R2IK4rh6mMaQKhTj6PfrVNwKTb0anAPd8WTakfB67sm0eJ7e11Q8uuZ24hN5ecFOjSnN94cHIz9r/aC2ELizh7Veo8SJVqs2RWPHh/uM3vMRzuvILdY12Ox5WwyUIfLoV+8nIjCGzMBAF9d4KdIOHLN0HMhrQy4XKXVAq9db0KQrRvwxFpg2BfIsksWbBJ6e7DJtvxqk5nTjZ5HDPQHAASnC2d3Zozh0ZnhGDW/IyYF6QLn5uUiuDhYTnHgrOHQOisRQadWouzmTTDGwMrKUBJtSMug/uRjSN3ccKuT5TqJO2dO0D/eEN4CrW0NQbjDQH5SypwEG0BTBvwwCtjxKqCtgObbUfr9irBQ7IpshU3hzXEiohk65BuGC+WqCgQOSsfn856FzMFMVmoANtELgEOf8N/vc88BAPw3rEfgXzvw4rwP8FN//mq6iW8sxZLxkzDso69RKpNjZ7jwhHwROLQtl2B8gQKty8WYkctvV1aZILSCEyHtS+tScNwvFBwRQpocjuNg17cvAKAkVnjOSJWCvX/jer9+uNouHE/1zUTby/+D+93zgm3tRYXo92wwRCIOLYMUcEs/C05bgeArG/DK2Z+xYdd7+Gvrq/hr66sQMy2cdq4TPE9qC34pike/MBSs/eeVKPg622Bij0A0czVfEwsAvhjDryp/VarB+/v4vTqJS/hBwzeHE9Dund1YuO0yWnrYgyuxrnq8tbSlXqgo0A13ZhabLv1nIg6JJbqJ6c6yaquNCqqlOej3DrAwF3jtGhAyArD3QqlAzxEArFSVooAT6GowUlgZHEU+0gwRA3TBkVeecEbm1w6+BplCAjc/e0we3Aqv5SgxolCOAkW6YPsq47MqEHnuE2hOH8H1AQMRF9wGcWHteG1Ug3WfSf91r1o8lzGH1vyh1ar5dlVyE2yA3W8A8br5QdnXbRC/1TBE5btyJdrZ26Bb6U34L/M3Ob9cVYEtfv3R/JEM2KktJFn8+12g0PC5esx5DcFxsbCJjESKhxrxfgEm85nKZDLs6hKFPDvdhPVTrZT6UiKWiMHBRcPpFz/kyWxQJhLjhX5z8VI6lQ8hhJBaK76oSwCYueYbsArd5ODyZOFehyppb70NhwLzwzq9h3tBIhXjxQ87wnfV8wiN+RaRZz40277frdOC20+kmV/lE+hmZ3ZfdSobqb7ALwBclFvfC7TuaCIyC0rBaS0HFPeiOEnXI9Lrl14A+CvvKh42DMXYi42CI60WyIw3PJ95UZezyZjMBsucnaDw/lHwdQ8ZfeFmi0yDqEeKZHji9Uh0GhoArrJHTlFhi0cvTYdXbgs0v2tIZLorcZf+scrNBhpO9zukKRYeZqsy4Mhci/uNcSIRWh45rF8Sb4nE2Zl/rFiM1ufP8baV5unuZ26iEmmnHPXbpfaAxEkFaMqBVaa5um4pPBH5kG5V3j9OneDTIwvNHs6AfZAhOHdqYVTMbe1A4LN2wEIVoDFMvO9yIhYRuZewOmYB1CXCQaRKIsY3igpcMJ1GJ+i5fAUeL5RjaKEUuXI77PTvjDRbF8S4BKDMwoTw+42CI0JIk6TJMMyjKNi/HwCQMKrmoqnVnQubpn+s3fkbACDdqFyCfaH5gMu2ogSr/rautMK9CqihdwkA9rzcU3D74r902bvVBfyg6mkXR3wb0qzG8w520y0T5/INQQkT64IOTYknStKGIb2gAGP+dwIaDwWYiIPxK3krjOZlxRuCEQz7EnAy7d2oIrGPFtx+Sa5BKRgKOYa19qZfnJ4aDh7NHPRDrY9M0a3WmzltNL4bvA7P+gmnjVh5fiXWdnwdd+wSIXXi53qyCfwEUonu/T9/6Q+z11zF5aWX+O/FxQXyloYcRW6vzK5+iFkiBX/Y6cYOD2grOKQc5+esKs8HsMgNeM90Ev+zbd9Dp4d+xm2FricmIi8GHAcoXcqhfv8dfTvn1kYT/O9eBbITdY9/Gc873/bzU/Foxn58clX4j4ZOcjGaPzceWz+fBUW69XmzgsolmNZ7Nr5q95h+W1mJ+dQY9xsFR4SQJsm2Rw/9Y21JKRhj0GSar05uTo5Rcr383btRkZ2NnF9+sXAEn6pUoHy6GU4l5muS3Yt3KmvUtfSwx6dPtjPbTnE5F/MDdcU8X/Rxw8dhzfCIqwrOnCGUmX5zPWRHDcNe4tuF+Pr2//BEqhayk4bVXlX5kooSZqE8uws6LTqAy64SlIe7oCyCX6aEJ8loLo+tcJmW2EzdECnHMbwzWot9r/ZCO19HXpvv7EvxpaoEGoGpWs992IP3PCDMFVNX9YG7vwO8mqswbCR//5qLawAAqy6sQoW4HFtCP4XE9gbENobs4mJ5BuTN38GyAysw4tpB1MRthulqPNUwQ3ZrVloG+2o1CkUq87XO/NfzcwkVpZsvNyKkbcRIANBnKN/pakiuKWo7GC0PHUTAtx9BZm+mV/LKdmBZW2ChChOSt+g3d75zAbumj8eQQ/yl93sKDQGNd35ara61eqkcO0fz6S/uN1rKTwhpkrw/+hBXO1dm2dVqeBNia4NVqxIf36V2S4jtyy2XJanSI/kCxsfuBNOMAieuXebf6mkDZl85jodjdb1cWes3wHnc0yalLYwtfTwUPfzdMMPfQ7+N4zjEdGwGfGSonP6YZC/64Dvd/vxytLjcGUAq71waDyXEqcW8bVovXd4a5myU5duBn8sGh5cZHksMPSJF5UU4lnIMXdRdMOpPwwTjZ8J1OYbs5fzPJ7faN6i3oxJHXu8j9LYF7R+1Xz8c+Pm5zxHoGGjSxsZ/NRTltiiR6gJfv7wW8GBl+hVZlgh9tiIbG0jc3FCRkQG7nj3gNPYp5FeuslQ98ThcJkwwe77qmeOTDloIQKubl4xX5XZ4tTIw9tx3HgubT0GOxB4vDZkBAJC4uUHiNgTolqsbRhOSp0tBsOTacv0mpawMsopyvLTlJ/zZw5AqwzXHkOvLOTsW1zHc6stVMqCgMoob3dHX6uPuB+o5IoQ0SWJHRygjdMvgC/YfwK0XDHmTHEeORFBsDGy7Wa6VpmgXhrHvdIbNYyPv/TqYYe6LXZn5QOn1UxvgU5CB1Pnzkfzqa6jIMk0YaU6YtyPveasCw5ymO++/j4qMDLjamWb+rtLa08xf4Lb8L9rWFcLzsYw7abQe/Mnm5sKFLe2NJkLfOlHtdV1Rri2HRqvBO8fewaz9s/DBiQ8Ez/P20DawrT6x20hyTrHZfUJclC68/Eyz9s0SbDfuzLv6x/2vPIf4lvzfEY+33kTLY0fhuXCBfpvEzTRtQJWAbb+j2a+/QhkWBomTE5rv2onmO/+CetEiyFsITxrXqyGho0d7gTlub2UCctP5bdlSFRa0mIYcV4GyPC+YXwUpeFkiBrviImx91TBcuXTFEv1j30e64pHJoRg+uz26H5mLTmc+gCgvXuhUAAAbreF9fvBYqNl29YGCI0JIk1V85gwAIG/HDn0yPABQDXsUHMfB79tvELDtdziNG2dyrG1UT/h/9x0cPWygnvaSyf7q7AcORHBcLILjYhEUGwPXadPgMnkSACDkrm4YZuJlfsK8tbs/wPBrB/HRoZX6Xofc37ch788/kTLPfD6Y6hyUht6TJwpkYBw/WChLSkKPlq6Y0bclVj3dofrhcLaxMBRja/hCF8NoknMNE7kZgAofG1S0cRTcLxNVfr0U3gW2G82zcQpAkXMAOqzvgPD14diRsAMA8Pv13wXP08rDHpffHQipWDhAeH1QkMXrFDKvk+V73zq9E8RMgknHPsOkY59BqpWj0FaNi21fQIGNF1ynTIbTU09B4uQEp9Gj0eLAATg9/TT8vltn9pwSJycoQw218WT+/pA1a2bV9VYfWjMmta2AU8tqQ7tyB105GQvSygRWk3nWLiBxDNT9MaAqLMC+yWOwb/IYBKYk6ferhg5BQDs3eLdyQrvHr6Lj4FMYXvQBmmUdw9AZpsPAdpUJPNfvfLemePC+o+CIEPLAsYmM1D9WtGoFzzfmo9XxY2i28Se0OHgAzTb9Br+vv9ZPeBU7OZk7lZ73h4biphzHwW3aVLg8q1u19c7xb/HRwS/w8E1+XS2Poiy8dGkbQjJN8x4XHhCev8LKysCqjZFxHIfh4Wr42yngWyGCpILfQ5U8cxYKjx7F7IdbYWCIF3bM4M+tkYgt/FM//Szv6bPJm8EVVkCcxu+RaV5hVFYCgNZNgYq2TtD4mk4Yb6406sX6tj9w55LheZ83se36NvPXA2D9oPUm2y4s6C/QEmjmUvOE9eqcFJY/70Ht+gluv+sWjtBDu+A2YwYvv5bUwx2eb74BeaDpEF1dMP59Nub+0lNoMTQdXNXHO/pHYMIO4DXhEi3XexqCn5zK/FcaxvBpYho+S7wDiGuXeFHmYL6EjCI01DAkWG5IHeAVnoP+yyfAr43p8GC/IimeuLoPriV5KDx0qFbXUtcoOCKENFlus2aabDMX6IgdHaEMD4fU3R3Ktm15+0Q2NvBc8LbZ11FGRICTmfa+iOx0wxY2FaUIyUo0mZNS2z9+83bsQFxYO8QFmw55LB/dHvvf6AMJOEjL+T0FFRkZSHp+ov55C3fr0wVA4cB7uvjaZ5AdvgOugv9eZoca5oCUDvBGeQfzc1++CwsAYwxHko8gPTdRd40ADigVyNWWYX2MafBjLNw93GSbjUy4JyTUx/xkZnNcFJbn7fTv0l1wu61KBoWtaQCRl1mMpDjrh0nvhWu1id5eH3wAl5ffAh77GujzFrAgBwgaDDTrBkiEewptjeZD/ZaWjWWJafDefwFLE9KwOCEVeRUa4Hld1u2yGgJIAFBEmp+f5/ftN4YnhRm8fdLVbYDNL8FBzJ/P5iYqx/MxujI7JXH8Uib1jYIjQkiT5TR2rMm25nvMl1SweK4xprloWvzzN9xemQ3/tf8TPIYT8f8J9Vq8GBMrl3t/tn+5frvrlMkQu1T7Qq42cZeVlyN59isWr5HjOKjclZBWWF4hZ1xfbdNkKyaYD1gMSAxziYyDulmS33DMfQn6u1ofhDhyBej6U1dM2jsJw3x0k4Hnurlgmqc7Rlz5Bj19hFMP1OTga7rM4psmd8XWqd2wfUZ3eDsqaz6wmpp6jnztfRHQznRFXWGu8NLy9W8cw7bl5xF/6o7g/rrgWi1FgGp45Qq4dqOBnq/WOC+pug2pmfgwgb+aLLu8AvDtBDy/Fx3arzV7bH6yrmdQGRYGeVAQIJWi+a6d+oLQft9/B7GDUdCdcs70JBc3YpTLq3jMeT7a2+pWwTWX6XqLSmUOSFv+ea3eT12j4IgQ0mSJ7e31vTf6bXa1H2YR0nznX5Cq1XB94QXBXqPqJG5u4GRSPH7tAHZsfRWtcgxFRqVqNZpt5NfegkaD8nRdIr2K7GzEhYbxdrNy4QzDdk4Kk54jIYlLBiNh8SOI8K+5BwBdpgBvpAIv/AMAeFNi6NmZJdkMr7yLsJdYt8Lui2A/9P6lNwrKdXlzCkQiVADYXfm5pBdnILnAcrJOc/xcdJnFI/ydEO7riLbq2vcaAbrg6IVQ3STimR1m4ungp/FZ788wrs04nB2nG2bs8lhzq85lPAS6+9vL93Q91uDEYqg/0uUW8lu3ziQwt4a2sBADYT530Mpb6diUlgX4dsRdmRP6RnyDdephCOmyBTtcdL1pN+I9UJKl+/+BK85EwJbNCLp4ATJ/f3gtWKBbCNGpk+6Et44DWQnAL6Zz/gBALiqCWhYLB7EuqCzR2kEjkuJI18U40PMzlBabH7a73yg4IoQ0bXU4c7PlsaNQPT4C/uu/t3qybIv9++D2ymwE/vUXJK66yc1VV2T/cD9Ivb1hP2AAZL6+8FvH/2v8Ws8oMMZwc+zTJufV5OQIvp6r2gbSysAjLaA3bx/TaPT/ZRoNOI4Dq6gAKy8H0/IzSuds3oI7i5cYvtw5DvCOAB77GhMlf+G3AeU42/wbWENeeBQXu7bF9g4t8YSns8n+9gH8rNP7kmq3Kup+mNFhBqKficbE0ImY22ku+vj1wZyOcyAV6YbNnDxtMXJeJMZ/0BU9R+vSPQ9/2ZBhmzEGrZbh8iF+Lb/cjCJcOZGGgxuvQqtluH0lG39/H4vSoprLaVjCystRdOYMvD9dBtvOD1l9TOo77yBvly5tQPLcuXD5a7vZ9t+nZGJq7C0cyc4HAFy2a4nXW87GXZkzpgW/icfDPkWZTQ9oyip/w8+sA1eUpft9r/z94jhO9zjjKvC/AcDn4TVep0Kky/9VonWATF0ZhDMtZPLapbyoS5TniBDSpGnz8+vsXBInJ6jff79Wx0g9PeH6gq4XwqZTR0j9/VB+8xY8F7wNpzFjwBjTT9617dwZQbExvDlFRSdOoOzGDZPzVty9a7I0nFVUwGvDHJSVZgMACjj+fKG4tiGAVAqY6XVqeeggJG5u0JaVIXX+fN01d34I9r2Ngqx2o4GwJxHJcUALb+BbXW8SskyvEQBss9bDpmA33OVT4J56EiXRlgu31uTQkw07EdeYu7/u/ob28kFIlLf+c2Rahp/eO4nsVNMevA1vGbJCayq0iDmsC57KSzQY+GKISXtrpbw+D3nbtyNn489wGDTIqmNytm5Fzk8bkfPTRtjHXEbB3r9RNGpCjcc9ft4woXuomyOuFJbgahFwxKkDlKUHYONu1PtUlSfL0R+YcR4oygS+6gqUWZ8cVcnpgqNirQOUzXX3WKotAacpAUS1HzatC9RzRAh5YPhvsDzR937jOA4tdu1CcFysfg4TV61nq/rz1LcXQMjdr1aZbCu9cQNl8YbCs0U2AsU5zQRGABDfQzfX5857i4xeX2AietU1GmeyPrQMC6+vBAAsj1us3yzS5gAA0jKvAuseQeJB64PLP4b/gTNPn+Ftc1Q4Wn18fTL+3PKzSgQDo+qqAiMAuH42Xd+zV5Ois2eRMm8+KrJ1QXDWDz8gb7uhx6f6asbqqnoJjWsNJk3UBfDjd2wyaa8Qme99HePljO0Ruizyg1xV0GRnI/uawNB1zk2gIA04/T+gMB0QGvp9dIXptsBeUAycAwAo1qpQJNX9QVAuttHVimsgFBwRQpo0494Vc0ueGxvv5Z/qH5ffEk68mL97N+5+9ZX+uaagEClz+EVP77qEItFPeIm7Odk//4KcX381nNeoRp0J5wDD43PrMen2L0g9EIXRd3bim8tv4YXbv0BepEtfkJyg62Fa6GoYVnsvw3I5l2aqZpCJDfO55na0vqhrbRVfuICSK1dQcOiw2flc1irKq33Nr56HXkFc2xBkrl1XY9ubT41F7pYtiO/SFZq8PF4wC5gfcgWApClTEdemLXI2bQKMgrHCo0cBAI4F/J7WiVs3YrSb+blbjhIx7CVipPZqh7WhAajIyUZZvpnhrtxkQGthnlCb4cDCagkrHbyhDNYlay1l9thbYfgdYNK6mT94Lyg4IoQ0ac13/gXXKZPR4p+/G/pSrOYwcKDgdvXSJZCovfTPMz77XN9LkDJnDkrj4vgHcBxuBA5DbaQtEO6pslZVH8OQuwfx3vWV4CrTF1w6qPsCvyw35Dh6qLiEd+zux3cLnnP7Y9vx85Cf8XQb07lXdaE0IQGJT45GwrDhSHrhBWR++22NxzDGBHtoGGM4tkU4j5AlEo3uXqQvXWqxXfXXzNm82aRNfJeuJnPIqo4t+EcXpKa+8SYy1wjPGet60dBbN+TwP0j640/BdgCgkuoCIY7jkLdrNzQZd1FRZCY42vm6rmitOVVpI6YaDb26NIei+krOStrMFMHt9YGCI0JIkyaytYXbjBmQqtUNfSm1IpSjyeHRR+H42AjetrjgNkiaMlX/pVelTFqLXEY1iA0Krv1BYU/ynn7sYroqzqvaMJKXnRdmdtC9723DDYkg/Rz80MZFoJxFHSg+fx43Bj3C25b9w48Wj9FqtFj3+hF8PeMAL1i5fCgZX07eh5T4HJNjQnv5mD2fuIKfUPNOokC5DwCl8fEmOa7SlwgHUwUHTZOIavOsK2z85v9WYMihvfh4+SKoCvPxdyfhvE4AYF+ZcoKVlSF5ZtXvLAftzDhejTwAQPJpIGZrzRfg1hoYuwmIfA7oPAUigSSlcq4AYveGq69GwREhhDQAm6rlzpVanz2jm9ci0FtRPTACgCsjP9M/Zhz/n3KPhQvgNH4cvN5fBO/PPkPzvXurH27C7DyWVgK9XGM36eaPTD4K73LDMMqHzo76xyvSMoCuphXqJ4ZORPQz0QhQBZjsE1KQXYJ9G+KQmVxgVXtj2Rs3InG0af4qTmo5E/TBn+NRlFsGTbkWX07eh/ysEpzanoD9P/ATEzqrbSGRiuCstkW3kYb6aGIJ//NQpx7jn3/2auTdNa0Jd2PoozW+pypVgVBFVhZS316A4osXUZFpXSJKZWkpXvnxW0Rc0aUeGL3LEKjaVAtUXCuTb6Z/soy3XeTkBbwuPCQsaNCH/Oct+wFDPgWkwhOuB7svt/7c9wGtViOEkIZgNCziu2YNRDaVVeytyF/TYv8+qMUO+pVRpzq8hof945EW9hiO7cuB/KQMz338JESVE221ReYL4uovJzcXYkdH0x2dJwNXdxqej/gGaNkPxdG6kiCj8/LxSWWv0XqVYfXcQyUlQP9FOFnxBpacXIKH/R+u8RqEfDdPN1cm5nAKpnzV22RCe5Xi6GhIXF0h9dINS2oKCpG28B3BthUZGYLbASD5SjYuH+TnYfp+/lHBtgpbKUa/1QlgACfiMOK1CMQeSUGXEc0hloiwZpaud6fldf4k6JCY/+HCfA16rH7d7HVUJ3Fzg+833yBhmG4YtWre1LW+/cCKi5Hzyy9wf+01q89nbOK2nyEfMwbdvNwwxE2FLsdjcbNEN69KVHm/s777TuCi5MDb2cBvz9bcY9TpRYu7O/Rxxdl/dPPf/GRn4fXyutq+jTpFPUeEENIAFGFhENnZgZNKYdfDMKzh9OQocAqFhSMBibs7VG42+ucF9n5Qf/A+ju3PAzgRSosqUJhTqt+vD7wsSHv/AwACPUhK/nAZC30CZYmJSBw5EokjR8LdzJxrJWPQFBRCKVHina7voLu3+aEba/254oJgD1fp9etIHDkK13r3gbZU976LTppPKSBv3drsvj++uGD19fQc3Qocx4GrDEK9mqvQZ3wwlHYyyBQShPXxgf/NnYLHuh7kBxs1TRJXhodD0boV5C11K8cqsrJ086KKDT1Q6R99JHhs9ZQQAOAwZAj8f9gAABBrtZjw5KN41N0RIo7DZ8F+sBWL8GEr4aHCFgcPGJ6IRICbmeK/U0/pJmAvzK0xH1lOlmH/rbIOgKOfhdb3HwVHhBDSAEQyGVqdPIHWF/lfxhI3N7Q+ewZBly8JHuf92Wf67MjGdb6+m3+E167GpIMcB59VhtVweX/8gZIYXQ6mtHffNbRTGeZ9aJ/fjxuDh+D6QEOenYFS83mmrkZGIm+38CRsa2i1/EDoVkwWbl4yjcaKzxnKU2Sv16VzYBrzq6ZKLgnfWwDQlGvhcecUnLLjzLap4uJted5Xp/Ycmif8YXa/caCXs3mLxXOVJesyrtv20BUVzvhkGeJ71lyGxeGRQfD/6Seohg9HwO9b4bPqK6ieeBxei96DTUSE4DGdHe0Q3yMU4711qRzydu7i7Ze6u/MP6DbD9CSTjwFurWq8viqtOxvSUnQb5Gj1cfcLBUeEENJAOJFIcJiIE4nAicVovmc37KKi4PnOO3CdMgXN9+6FwwDD0v1hL4frHxdklfLOcerPRN5zVeVwTOCO7fBdsxotjxyGfa9evDYJIx4HAGT/aFTqxMZZV1ZkynGkffGzScLKnKumy607lBhWqSXPMJ14bq3ofbdNth362cJqKAAlV3T7NZmGIMrmIdOM0nc+FO5lsctPQtvYdWh/YQVkYuEAS2kvxdPvdTZ7DXdXr8GdDz8ynUMkk/OelpcZJqxX3OHXOfP5gp8TyOsd3RBh0alT+m2W0jC4Tp0KkZ0dXKdMgczHG+oli6Fo3Rr2vXpBvWgRRAK9k1e7dNWlAADAabW4Of4ZxAYFI3nWLH0bz4UCqx1ltsD0s/xttqa16SwJaOcKqVwMkZhDm/5hNR9wn1FwRAghjZTM1xe+X6+C05Oj4DZjOmQ+3rz9xkNr1d04z59Xo166BEGXL0EeGAi7Hj0gcdblI7KLihI8nlUYBQbeEShnzsj9/XeTdnfOOeB/qYaCqw5FDJ8fz0fCrtp9OQo5/Gu8ybbifNMeMW2JITDM+0PXU1M130jRpg38v1sH2678ArxZ/zMtJlyYWwr/JEPh4lGDDfdAXpINu/wkAMCzH3Y3e+9Lrl5FxrJlguf3mMOfE3S9XShuv/wyAEBkVKg16PIl2Pfrx2urDA0FAP3nZonDI4PgNn0aWp04DnmLFhbbSox6gTTZ2Uh9400wxnBnyVLBoUnHJ5802QYAcGkOzDMKZpWmqxct4TgOLyzviZdW9IJM2fDToSk4IoSQJkpqofaUT5DplxMnFpvM2XF4RLgUxZ2lhtVFBUeO4FpUL+EXYhw6lpTi8M3bWJGWga8/1yDlmBNKsg3JHc3lDLoXrTp5oOzmTaS9twjlycm6L/JF/CSJRUbDbCUxMQAA78+Ww/vzz3jtsn/iFwM+8ts1uN6N1j9Pmf2K/nG342+i05klUJRkmp0UDgAZn5uvJu809imTbfl/7UTGii94S/Y5sfnP1XXqFLP7DG2m1nieKgFbTPMoafPy9MOT1Vl675DbAy/uByYdBsSWVwSaO7fIQrbu+kTBESGEPIBux2Xj6OZriDmcog9MNBotfl18GrvWGObciOwdBI/PXr8eKfN09deSnp9o8bXyJAOh0moR8KcNxAIxUFxwG8QFt0H+/v21eg/NwnS9T56BhgzOmckFuD5gILJ/+AHX+vYzyQsEgJdZvCqpptjeHg79+8NxzGj9vrR33kW+UZqD+FN3kOLF72ECADDDysJuEabJF6skPv00CvaaJiOVuLsjKOYyOI5DUGyM6fWuXCl4vqCLF6B67DFeRnVJ9fk+AiQeAmVlzLUVSMBYeOy4QEvAf/33NZ9Q3R7wDLX69RsrCo4IIaQJG/+BwJd5pXO7b2HfhjjcuqzLf5N0OQsZt/Jx7Uw6flx4HEzLcOrXi2aPz92yBQWHj5jdX8VuznrEblSjKENusd3tSZNr1YNUUTknJyTKG91H6lZppcdbKHdSqfCgoXht87/+4u3zqpYh/Pa06Si/cwepi96HsugORNXKX/RzPoXgeEMPE1u50GyNtOLTZ0y2OQwdiuZ79+gn0XMch5Rmfcxeu+sUQ88QJ5NBvfgDXkZ1oWG1Zht/QtClaLhOnQrfr1dBbPfvym4kC6QEaHnoIGw6dvxX521KGn5gjxBCyD2zdzZMrPVu7Yjwfn7YvpIf8PwpsDw9O60Ix7Zcx81Cd3iZ7DVImsjvNVJ/9CHy//4HTmPGIOfnn+EwdAhEMhm8l3+K/N17IGvWDHe//BKKtm1RcvmyyfkKDx2CnRWrrACguEA3v0hpJ9UnTWx5zbRwqiUiueWADYB+yLCLwD7t5nUm9yd/zx6TEjDmgj7vjz402Ra4dCFuTc2E+13Tz0XWzN/itXIyGe+52+zZUIaH6x5Pn2bxWHN8vvwSt42CMuPixb5rVsP2oYdMXvdBR8ERIYQ8IEQiDs1CrZ8IfW7PLcDGg7ftpu/DvEnJxprv2Q2Zry9UQ4cCAGwfMmT5dhg4EA4DB4KVl0PRJhjKiAjEdzHt1Up68SUEx8VadX2Zt3VZsRV2Uji46jIpe6ceturY+6kiPd1kW0l0tMk21YgRJtsAQKqQ4FLIi2h+favJvbbvX3MhYafx45D9/Xr4fvsN7Lp1s/KqzbPv0xtBly8hrm2IyT5laOh/LjACaFiNEEKaPHsXXe9RYHvdfJSeo63PLwMA0W11vUOpHg/heuCjkPqZJuArCeoMmW/Nta44qRT2/fpB4mR+tVLh8RPQFpuWzzCWlmCoP6awk6JlpDtv7o+QC6GTec+N5+oYc6gM7u6d6aThvO3bec/9f/wBXu8vMmkHAN4tHQEAmc6m86WElthX5zl/PoKiL9ZJYFTF3ORtwazp/wEUHBFCSBP3+JwIDHopFG2664rvhvbywROvR1p9fIZbe/zTayVig8cDnAhuX601aXNOJVBjrQZCmZkB4NaECbjSvoPZuTsAkJ9pyJWksJWC44Cow6/w2qR4dkax3DAHJ9MlBJqHdGVKZP7+JkNfVbzefcds4GSJuHK+jyaXXzi25OpVZH1nmKzsu2YNbDp0MLuyqyqjdo5TK2hEtV/VBdRcH+5eVO/pcp8zp85fo6mg4IgQQpo4W5Ucge3deMugPZo5YOj0doLtx75rPoEhACQkmCY/LJWpoNFY7rmprsXBA/ohmVYnT5jsz98jPHwHAHdvGwrNyhQS5P/9N8SaMv22E5FvIC5oHI4/tBBp7pGICRoHADigHI7WFy+g+S7hsh0AIFIq4TBwIOTBwYL7lZERcJk8yWS745OjAACZa9ag5MoVVGRnA4BJDTfjcjDmRD2lK2FyoMen8N57GA6PDILaTPmP+uLx+lzec6enTIv23g+MMaTfzENZifms5vWNgiNCCHlA+bV1wUOPBsBWZZgz0vXxFnB0t1xr7chv1+D4FD8nj1Ysw4mtN8wcIYzjOARdvIDguFiIHUxTBuSbKS2SdiMXZ3feBAD4h+qWmlekpPDaFNrpesmYSIyYNs8izdMQ8ImsnCPj9+03cBz5hMl2+3794Dp5ssmwWNUEc1ZWhoRhw/VzqorPnjU5R02qevnAcShlMngvWwbV0CG1Pk9dEjs4oMX+ffD+7DMExVy2aoivLiScv4tfF58WXDjQUCg4IoSQB1jkIwGYsLQ7pq7qg0kreqH9w7r5RK066SZit+8vXOAzp+dYZDu2BAOHc+10tbPO7bn1r65FZMtfYp634y9+Ju5Kmz40LIm/GZ0JTX4+cn/fpt92y8ewFL5qib+x7LRCq65H4uwMr/feQ1D0RRSoDPfBafRoiGQyOD7+uH6b/4b1YCWlJueofv3W9raIRBxcvHX3o6Sghjp49Ujq6QmHAf31qQfqWmlxBa9XsKSwHDsr826lXss1d1i9o+CIEEL+I8RSwz/5Dz/XFlNX9UHXES0w5m3T2mNJ14txLnwW9vX6AtlO5qvY14b38uUm26pXki8v5c9DUrd0xNWOnfSZrkvkjkgKM5Sw8GqhwtRVfXhBUm2DDU4qhV2uIfAz7jEJ2LoFfuvWwiYyEi4Tnzc5tvCEYbjQpnNnuL/6qtWvq7CT3tP1NmWblp7Gz4tOIu2GLhD68Z0TYNq6yZ5el5pEcJSYmIjnn38eAQEBUCqVaN68ORYsWICysjJeu1u3bmHo0KGwtbWFq6srZsyYYdImOjoaUVFRUCqV8Pb2xrvvvltnae0JIaQpclbbYtLKXvAIMAx9xZ+6Y9LO0cPycFxN7Hp0R+sL56F67DH9NuOJzABQlMf/N3vIhGa854rSHIx4zVBNXmmvG0IL6WmoO5dyLadW11VepkG5RPi9KYKCYNtZN2Rn2910LpFx9nD10qUQ2Vh/jxS2uuCo+D8UHGWnFQHQ9Q6mXs9FcbXPu7FoEsFRXFwctFotvv76a1y+fBmffvopVq1ahfnz5+vbaDQaDB48GIWFhTh8+DA2btyITZs24ZVXDKsb8vLy8PDDD0OtVuPUqVNYsWIFPv74Yyxbtqwh3hYhhDQaYrEIw2e3F9zX9xndxOWcO0VIS8jFiW03UFFufqWZJSK5HJ5vvyW4L2/PHmR//53++Quf9kTGJ5/w2jiOGQ2ZwrDsvKr3xbhX7Hgt50YlxWThcvAEMHBwecU0O3QVTiRC6zOnze6XetRc2sNY1QT6lPjsWh3XVFXviNj8kWlG8UO/XK2vy7GoSSSBHDhwIAYaLckMDAzElStX8NVXX+Hjjz8GAOzevRsxMTFISkqCWq2b6PbJJ59gwoQJeP/99+Hg4IAffvgBJSUlWLduHeRyOUJCQnD16lUsW7YMs2fPtlxQjxBCHnASqXCum6oABAA2LdV9oUnlYnQYYDmbszkipZL3nDEGjuOQPF03t8kjeALueHSETCmBxJWf1NJx2DAonRQIf9gPEpkIUpnwNWsqtBBLrPv7P+HiXWS5tMWBHssw+QXLKQtEtrZoffECroQJrwSsjfjTumSS189m6O/Bg+x2bM1B4MV/buPS/mRM/rJ3PVyReU2i50hIbm4unI1qzBw7dgwhISH6wAgABgwYgNLSUpw5c0bfJioqCnKjdPIDBgxASkoKEhMTzb5WaWkp8vLyeD+EEPIgav0Qv2jpS59Hwa+taXHSi/tu/6vXMS5iWrBvHzSFRfrnLa/9pn9cvdCqqHLVW7fHW+ChoYG8fXIbw9/7q6btx4W/kwRf++yum/jfa4dQkK2bYB13NBWAbkWeNUQyGdxffaXmhjVoEWl4b1s+qf2Kt6Zm2+fnrWqn1eqW9jekJhkcXb9+HStWrMCkSYY8FGlpafDw4KfBd3JygkwmQ1pamtk2Vc+r2ghZvHgxVCqV/sfXiiyxhBDSFLXry//3TSIT8/InVSnMKf1X8zXFRtXgb0+Ziuifj+mfp3l0BKfVoCQuDncWGZbTO40dC1lAgNlzdh3Rgvf88K/xJm12ro7GsS3XUZxfju/m1VxU1+z1V8sA3nznX2Zamtehv6HnrTGt1LofqooIC5FITUORpNis+3k5NWrQ4GjhwoXgOM7iz+nT/PHdlJQUDBw4ECNHjsTEagURhbokq3dVVm9T9T+3pe7MefPmITc3V/+TlCT81wghhDR1MqX1sy1+WHD8nl+nenAh/9BQNNU18xIGlP2KhOGP8dp4vvWmxX+rm0eYzvmp6h2qcv1sBu+58QTwx+dGwFp2ffrwnotdhbOBW+LmZ897/iAuDiotrsBfq6Lx9YwDZtsoHWQYs4C/YvL41hsotxBQ3W8NOudo2rRpGD16tMU2zZo10z9OSUlB79690aVLF6xevZrXztPTEydO8DOwZmdno7y8XN875OnpadJDlF5ZQLB6j5IxuVzOG4ojhJAHlfH8ogEvGAqROrgpkZfBr4eWm265PpolYpXK7D6b4gyUHecHMfYDBtR4TrlAYPfXqosYOa8jcjOKoLQzHTZbO8dQyNbO0fp/5yVOTmh99gzSP10OkVIJsZ1tzQcJ6PdsG+xdq0tTcDM6E75tnbF/QxzijqXhibmRvBWETdHRzddw4zz/s3xmcTder13LSHc4e9lCYStFSaFh5Z5I3HBzsBq058jV1RVBQUEWfxSV+SaSk5PRq1cvdOjQAWvXroWoWoKqLl264NKlS0hNTdVv2717N+RyOSIiIvRtDh48yFvev3v3bqjVal4QRggh/1VypQTDXm6Px17pgBZGPTGPvxaBTkMD0Hl4oIWjrceJRHCfO7fmhpWql7Ywx8mLH6Sk38xHzp0ibHjrONa8fNDisTYOtas+L7Kxgecb8+E+++VaHWesVUfDH+ZXT93BwZ+uIu6Y7o/435aebtDek7qQUC0wcnBVwM5JjtFvddJv6zhEN1RqvA3QraBsKBxrAv14KSkpiIqKgp+fH77//nuIjaoHe3rqJg9qNBqEh4fDw8MDH330EbKysjBhwgQMHz4cK1asAKCbxN26dWv06dMH8+fPR3x8PCZMmIC3336bt+S/Jnl5eVCpVMjNzYWDQEp8Qgh5kG1cdBKZlVmOx3/QFfbO915mIjZIuL6ZMZGdHVqfPmXV+eKOp+LvdbG8bRK5GBWlNQcZU1f1qbHN/bBy0j9m9415+yE4q++tV6oxqP7e+owPQnBX3cKpspIKSGVifSHeKjnpRbB3Vli92rA2rP3+bhITsnfv3o1r167hn3/+gY+PD7y8vPQ/VcRiMbZv3w6FQoFu3bph1KhRGD58uH6pPwCoVCrs2bMHt2/fRmRkJKZMmYLZs2dj9uzZDfG2CCGkSRo1L1L/uLTo3yUwzLMXLl9iTBkWavX5AtqZzv0RCoyqTzIfNb+j1a9RnzYuOtnQl3DPtAKZr6uSdgK6gsLVAyMAcHS3uS+BUW00ieBowoQJYIwJ/hjz8/PDn3/+iaKiImRmZmLFihUmc4VCQ0Nx8OBBlJSUIDU1FQsWLHjgc0sQQkhdEolFcHDV9RaVFOpqizHGkJ1WCK1Ga/V5GGM40342NCKpxXae775r9TnlSgnCH/aDnZPl+UODp4bxnlfVOWsI1VcIGmNa1mTLixTnm2a/limaRHrFphEcEUIIaVzsnHTBUXF+GbQaLb6cvA8/LjyBda9bvzy+MKcMTCTFgZ7LcS1wGGxHmhZtDY6LhczHp1bX1u1x4XpxVSYs7QavFo6QyHVTNIbPbg9RA85v6fZEC4v7iwsaZ4mNmgjlmZLKhZN2NjZNI4QjhBDSqCgrV7Xt/uYyb3txfjk0Gq1Vk2l/W2KYR2Q/dgJ8n2qN2+kpKDigW/Yt+hdzOoVSEni3ckSLSA/YqnS9Ss992B0iMdfgQzjVRy9GvNoB5aUa/LHiAgDdPXXyFDqycbp7uwC/fHCKV1A2vJ8vivLK4Opr14BXZj0KjgghhNRaUpz5UhCrpu3H1K/MT26OP33HJKjqNTYIAKD+cCly//wTrKTEquX7loT29kF0ZSbvkfMi4e7PD7Yaay+GRCaGVwtH/fOslAKoWzqabd+YJF/NxtZl50y2d3uiZQNczb2j4IgQQkitKWwlKCuuEN7JgMLcUn0PjbHDv8abLesB6PIfOY8dWyfX2PPJVug4uJlgfqPGxj/UBTejMwGYphQ48NNVHPhJV5D16fe6QOWmNDm+sTjy2zWTbXLbphdq0JwjQgghtTbqjU4W92fcygcAJF68iysndHl7GGOCgVFwVy+TbXWlKQRGANDrqdb6x7YWklFufO+E2X2NgZu/vcm2kJ7eDXAl/07TC+cIIYQ0OKFs1Ma2r7yIySt7YfuXFwEAXi1UZjNq9x4XVOfX19TYOSnw/Cc9IFNYHur7Nzml6oNQHb423dQCLRs3Co4IIYTcF6e2J+ofr3/jmGCbTkMDKJ1KJYUtP6VBlxHNcWzzdd62wPa1r+FWnxIv3jXZVtvM440BDasRQgi5J0Ont4Obnz3aP+wH79ZOePbD7rz9p3ck1niO9v1rTgL5XxUQ5mqyrbTIzDyveqLVMuRl6noA/1kfi93fXtbnHMy5U6Qv9CsxmuwukTXOie+WUM8RIYSQe+LX1gV+bV1424wLqVrSprsavZ+m4TRL7F1Mh9AaOjja930s4o6noe+EYMQe0dUy7fJYc+SkFWHb5+f17fqMC0LLSPMF3Rs7Co4IIYTUGUd3G6va9RrbuuZG/3ESqRgvfNoTeZnFSL2Wi4MbryL+1B3En7qDoTPawa+NS80nqWNxx3WT6w/8eEW/7fv5R03a+bVxrrdruh9oWI0QQkidsaZIqkQupnlGVpIpJXD1sTdZwfbH5xfq/Vrys0r0jyvKLJeJEUrC2ZRQcEQIIaTOSOVitO1hWJ004tUO8AgwJF9UuSnxZCMt8tqYicSmwWT0/tv1eg1CPUTmNPXgt2mHdoQQQhqdXmOD4BHgAEcPW3g1V+GJuZENfUlNnkRq2pdxcONVhPaqXd05a5UUliPuWCpadvTAnYQ8weDMnBeW97wv11SfKDgihBBS54K7Nr3cNo2ZupVTvb7e/h/icP1shmDG65rIFE0/tKBhNUIIIaSRE4k4jJwXiZ6jW5ltc3pHArZ/eVG/tP7fuH42456Oa925CVXItaDph3eEEELIf4C7vwPc/R3g4KbEnyv4E7IryjQ4sS0BABB/6g5adap9kJKfVVKreUUA8NgrHbDlk7P6533GB9f6dRsjCo4IIYSQJsTD3zDB/ca5DJz+KxG+wYZht/jT6SgpLEdQF68ah7gYY4g5nAKPABV+XnTSqtd/ZnFXXD11B226qaGwlWLc+11w/UwG2vZQC5YPaYooOCKEEEKaELmNBBwHMAb89XU0AEOhX0BXwiPx4l3kpBej55Pmh+EA4NqZdOz/4YrFNsbc/Oxh56RAh/7++m0OLsoHLtM5zTkihBBCmhBOxMGaaUXR+2pe6m9NNvPOwwMR/rAf/No6Y8RrHay5xCaPeo4IIYSQB5RWo4VILNwPUlZcAa2m5igrqLOXSRLKBx0FR4QQQsgD6tLBFIT1Fs6FdOOC5RVpgyaFoqJc858LjAAKjgghhJAHQsQgf4T09MHtuCz8/V0sAODQz1fNBkd/r4u1eL7AcLc6v8amgoIjQgghpInpMz4I/3wfBwBo29Mb9s5yhPX2hVQuhn8ovyBtZnIBXLztrDpvcFcvqNyV/+nACKDgiBBCCGlygrp4waOZCiIxB0cPG94+pZ0MzTu46RM5bnzvJKau6mPVeSMfaQYHV2WdX29TQ6vVCCGEkCaG4zg4q21NAqMq4Q/zl9bnZ5XwnpeXavSPH3o0UP/Y3kVRh1fZdFHPESGEEPKAsXGQ8Z5/P/8oHp0RDt82zgCAjCRDXiSv5ipMWNINYqkIHPdgJHH8t6jniBBCCHnAOLiYDo1t+/y8/nF+pqEnydnbFraOcihspfVxaU0C9RwRQgghD6ApX/bGl1P28batnPSPSTulncxk238d9RwRQgghDyBOxKHnaMvlQ4gwCo4IIYSQB1RoLx90GOBfc0PCQ8ERIYQQ8gDr8lhzs/ueWvhQPV5J00HBESGEEPIf5eRp29CX0ChRcEQIIYQQYoRWqxFCCCEPuEGTQvHXqmgAgNJeikcmh8HZi3qNzKHgiBBCCHnAyZSGr/sJS7tDJKJkj5ZQcEQIIYQ84LxaqOAZqIKjpw0FRlag4IgQQgh5wInFIjw+J6KhL6PJoAnZhBBCCCFGKDgihBBCCDFCwREhhBBCiBEKjgghhBBCjFBwRAghhBBihIIjQgghhBAjFBwRQgghhBih4IgQQgghxAgFR4QQQgghRig4IoQQQggxQsERIYQQQogRCo4IIYQQQoxQcEQIIYQQYoSCI0IIIYQQI5KGvoCmiDEGAMjLy2vgKyGEEEKItaq+t6u+x82h4Oge5OfnAwB8fX0b+EoIIYQQUlv5+flQqVRm93OspvCJmNBqtUhJSYG9vT04jquz8+bl5cHX1xdJSUlwcHCos/MSPrrP9YPuc/2he10/6D7Xj/t5nxljyM/Ph1qthkhkfmYR9RzdA5FIBB8fn/t2fgcHB/ofrx7Qfa4fdJ/rD93r+kH3uX7cr/tsqceoCk3IJoQQQggxQsERIYQQQogRCo4aEblcjgULFkAulzf0pTzQ6D7XD7rP9Yfudf2g+1w/GsN9pgnZhBBCCCFGqOeIEEIIIcQIBUeEEEIIIUYoOCKEEEIIMULBESGEEEKIEQqOGpEvv/wSAQEBUCgUiIiIwKFDhxr6khqtxYsXo2PHjrC3t4e7uzuGDx+OK1eu8NowxrBw4UKo1WoolUr06tULly9f5rUpLS3F9OnT4erqCltbWzz66KO4ffs2r012djbGjRsHlUoFlUqFcePGIScn536/xUZn8eLF4DgOs2bN0m+je1x3kpOT8fTTT8PFxQU2NjYIDw/HmTNn9PvpXv97FRUVePPNNxEQEAClUonAwEC8++670Gq1+jZ0n2vv4MGDGDp0KNRqNTiOw9atW3n76/Oe3rp1C0OHDoWtrS1cXV0xY8YMlJWV1f5NMdIobNy4kUmlUrZmzRoWExPDZs6cyWxtbdnNmzcb+tIapQEDBrC1a9eyS5cusfPnz7PBgwczPz8/VlBQoG+zZMkSZm9vzzZt2sSio6PZk08+yby8vFheXp6+zaRJk5i3tzfbs2cPO3v2LOvduzdr164dq6io0LcZOHAgCwkJYUePHmVHjx5lISEhbMiQIfX6fhvayZMnWbNmzVhYWBibOXOmfjvd47qRlZXF/P392YQJE9iJEydYQkIC27t3L7t27Zq+Dd3rf2/RokXMxcWF/fnnnywhIYH9+uuvzM7Oji1fvlzfhu5z7e3YsYO98cYbbNOmTQwA27JlC29/fd3TiooKFhISwnr37s3Onj3L9uzZw9RqNZs2bVqt3xMFR41Ep06d2KRJk3jbgoKC2Ouvv95AV9S0pKenMwDswIEDjDHGtFot8/T0ZEuWLNG3KSkpYSqViq1atYoxxlhOTg6TSqVs48aN+jbJyclMJBKxnTt3MsYYi4mJYQDY8ePH9W2OHTvGALC4uLj6eGsNLj8/n7Vs2ZLt2bOHRUVF6YMjusd1Z+7cuax79+5m99O9rhuDBw9mzz33HG/biBEj2NNPP80Yo/tcF6oHR/V5T3fs2MFEIhFLTk7Wt/npp5+YXC5nubm5tXofNKzWCJSVleHMmTPo378/b3v//v1x9OjRBrqqpiU3NxcA4OzsDABISEhAWloa757K5XJERUXp7+mZM2dQXl7Oa6NWqxESEqJvc+zYMahUKjz00EP6Np07d4ZKpfrPfDZTp07F4MGD0a9fP952usd1Z9u2bYiMjMTIkSPh7u6O9u3bY82aNfr9dK/rRvfu3fH333/j6tWrAIALFy7g8OHDeOSRRwDQfb4f6vOeHjt2DCEhIVCr1fo2AwYMQGlpKW+I2hpUeLYRuHv3LjQaDTw8PHjbPTw8kJaW1kBX1XQwxjB79mx0794dISEhAKC/b0L39ObNm/o2MpkMTk5OJm2qjk9LS4O7u7vJa7q7u/8nPpuNGzfi7NmzOHXqlMk+usd158aNG/jqq68we/ZszJ8/HydPnsSMGTMgl8sxfvx4utd1ZO7cucjNzUVQUBDEYjE0Gg3ef/99jBkzBgD9Tt8P9XlP09LSTF7HyckJMpms1vedgqNGhOM43nPGmMk2YmratGm4ePEiDh8+bLLvXu5p9TZC7f8Ln01SUhJmzpyJ3bt3Q6FQmG1H9/jf02q1iIyMxAcffAAAaN++PS5fvoyvvvoK48eP17eje/3v/Pzzz9iwYQN+/PFHtG3bFufPn8esWbOgVqvxzDPP6NvRfa579XVP6+q+07BaI+Dq6gqxWGwS2aanp5tEwYRv+vTp2LZtG/bt2wcfHx/9dk9PTwCweE89PT1RVlaG7Oxsi23u3Llj8roZGRkP/Gdz5swZpKenIyIiAhKJBBKJBAcOHMDnn38OiUSif/90j/89Ly8vtGnThrctODgYt27dAkC/z3Xltddew+uvv47Ro0cjNDQU48aNw8svv4zFixcDoPt8P9TnPfX09DR5nezsbJSXl9f6vlNw1AjIZDJERERgz549vO179uxB165dG+iqGjfGGKZNm4bNmzfjn3/+QUBAAG9/QEAAPD09efe0rKwMBw4c0N/TiIgISKVSXpvU1FRcunRJ36ZLly7Izc3FyZMn9W1OnDiB3NzcB/6z6du3L6Kjo3H+/Hn9T2RkJMaOHYvz588jMDCQ7nEd6datm0kqiqtXr8Lf3x8A/T7XlaKiIohE/K89sVisX8pP97nu1ec97dKlCy5duoTU1FR9m927d0MulyMiIqJ2F16r6dvkvqlayv/tt9+ymJgYNmvWLGZra8sSExMb+tIapcmTJzOVSsX279/PUlNT9T9FRUX6NkuWLGEqlYpt3ryZRUdHszFjxgguH/Xx8WF79+5lZ8+eZX369BFcPhoWFsaOHTvGjh07xkJDQx/YJbk1MV6txhjd47py8uRJJpFI2Pvvv8/i4+PZDz/8wGxsbNiGDRv0behe/3vPPPMM8/b21i/l37x5M3N1dWVz5szRt6H7XHv5+fns3Llz7Ny5cwwAW7ZsGTt37pw+FU193dOqpfx9+/ZlZ8+eZXv37mU+Pj60lL+pW7lyJfP392cymYx16NBBvyydmAIg+LN27Vp9G61WyxYsWMA8PT2ZXC5nPXv2ZNHR0bzzFBcXs2nTpjFnZ2emVCrZkCFD2K1bt3htMjMz2dixY5m9vT2zt7dnY8eOZdnZ2fXwLhuf6sER3eO688cff7CQkBAml8tZUFAQW716NW8/3et/Ly8vj82cOZP5+fkxhULBAgMD2RtvvMFKS0v1beg+196+ffsE/z1+5plnGGP1e09v3rzJBg8ezJRKJXN2dmbTpk1jJSUltX5PHGOM1a6viRBCCCHkwUVzjgghhBBCjFBwRAghhBBihIIjQgghhBAjFBwRQgghhBih4IgQQgghxAgFR4QQQgghRig4IoQQQggxQsERIeQ/aeHChfDw8ADHcdi6dWtDXw4hpBGhJJCEkP+c2NhYtGnTBlu2bEHnzp3h5OQEuVxu9fGJiYkICAjAuXPnEB4efv8ulBDSICQNfQGEEFLfrl+/DgAYNmwYOI5r4KshhDQ2NKxGCGkwvXr1wowZMzBnzhw4OzvD09MTCxcu5LW5desWhg0bBjs7Ozg4OGDUqFG4c+eOxfNGR0ejT58+UCqVcHFxwYsvvoiCggIAuuG0oUOHAgBEIpHZ4Cg7Oxtjx46Fm5sblEolWrZsibVr1wLQVRoHgPbt24PjOPTq1Ut/3Nq1axEcHAyFQoGgoCB8+eWX+n2JiYngOA4bN25E165doVAo0LZtW+zfv9+q1yWE1JNaV2MjhJA6EhUVxRwcHNjChQvZ1atX2Xfffcc4jmO7d+9mjOkKVrZv3551796dnT59mh0/fpx16NCBRUVFmT1nYWEhU6vVbMSIESw6Opr9/fffLCAgQF8EMz8/n61du5YBYKmpqSw1NVXwPFOnTmXh4eHs1KlTLCEhge3Zs4dt27aNMcbYyZMnGQC2d+9elpqayjIzMxljjK1evZp5eXmxTZs2sRs3brBNmzYxZ2dntm7dOsYYYwkJCQwA8/HxYb/99huLiYlhEydOZPb29uzu3bs1vi4hpH5QcEQIaTBRUVGse/fuvG0dO3Zkc+fOZYwxtnv3biYWi3nVuS9fvswAsJMnTwqec/Xq1czJyYkVFBTot23fvp2JRCKWlpbGGGNsy5YtrKa/DYcOHcqeffZZwX1VQc65c+d42319fdmPP/7I2/bee++xLl268I5bsmSJfn95eTnz8fFhS5curfF1CSH1g4bVCCENKiwsjPfcy8sL6enpAHQTp319feHr66vf36ZNGzg6OiI2NlbwfLGxsWjXrh1sbW3127p16watVosrV65YfV2TJ0/Gxo0bER4ejjlz5uDo0aMW22dkZCApKQnPP/887Ozs9D+LFi3Sz3Gq0qVLF/1jiUSCyMhI/fup7esSQuoeBUeEkAYllUp5zzmOg1arBQAwxgTnBJnbXtO+2ky+HjRoEG7evIlZs2YhJSUFffv2xauvvmq2fdU1r1mzBufPn9f/XLp0CcePH6/x9aqurbavSwipexQcEUIarTZt2uDWrVtISkrSb4uJiUFubi6Cg4PNHnP+/HkUFhbqtx05cgQikQitWrWq1eu7ublhwoQJ2LBhA5YvX47Vq1cDAGQyGQBAo9Ho23p4eMDb2xs3btxAixYteD9VE7irGAdLFRUVOHPmDIKCgmp8XUJI/aCl/ISQRqtfv34ICwvD2LFjsXz5clRUVGDKlCmIiopCZGSk4DFjx47FggUL8Mwzz2DhwoXIyMjA9OnTMW7cOHh4eFj92m+//TYiIiLQtm1blJaW4s8//9QHZO7u7lAqldi5cyd8fHygUCigUqmwcOFCzJgxAw4ODhg0aBBKS0tx+vRpZGdnY/bs2fpzr1y5Ei1btkRwcDA+/fRTZGdn47nnnqvxdQkh9YN6jgghjVZV9monJyf07NkT/fr1Q2BgIH7++Wezx9jY2GDXrl3IyspCx44d8cQTT6Bv37744osvavXaMpkM8+bNQ1hYGHr27AmxWIyNGzcC0M0T+vzzz/H1119DrVZj2LBhAICJEyfim2++wbp16xAaGoqoqCisW7fOpOdoyZIlWLp0Kdq1a4dDhw7h999/h6ura42vSwipH5QhmxBC6gll1iakaaCeI0IIIYQQIxQcEUIIIYQYoWE1QgghhBAj1HNECCGEEGKEgiNCCCGEECMUHBFCCCGEGKHgiBBCCCHECAVHhBBCCCFGKDgihBBCCDFCwREhhBBCiBEKjgghhBBCjFBwRAghhBBi5P8qjyw+b7LzZgAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for i in range(100):\n", + " plt.plot(walk(-1,1,10000))\n", + "\n", + "plt.title('Multiple Walks')\n", + "plt.xlabel('no of steps')\n", + "plt.ylabel('X')\n", + "plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "d1a44390", + "metadata": {}, + "source": [ + "Making random walk such that Xi+1 - Xi = ei\n", + "and ei ~ exp(1/lambda)\n", + "\n", + "so now X will represent a stochastic process (which is poisson process)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "22969e14", + "metadata": {}, + "outputs": [], + "source": [ + "def poisson_process(scale, n):\n", + " ei = np.random.exponential(scale, size=n)\n", + " x_arr = [ei[:i].sum() for i in range(n)]\n", + " return x_arr\n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "55a9c6a4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'X')" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(poisson_process(4, 10000))\n", + "plt.title('Poisson process stimulation')\n", + "plt.xlabel('no of steps')\n", + "plt.ylabel('X')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "26cc4018", + "metadata": {}, + "outputs": [], + "source": [ + "def poisson_process_1(scale, n):\n", + " ei = np.random.exponential(scale, size=n)\n", + " x_arr = np.array([ei[:i].sum() for i in range(n)])\n", + " Nx = [x_arr[:i].sum() for i in range(n)]\n", + " return Nx" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "39abd98c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ZGYnIyEgAQFxcHCIjI82X6ebl5SE7O9s8/pNPPoHBYMCsWbMQEBBgfjz77LNN9BKIiIha1uvfZeDEBQ08XRzw4aS+cFTyPJFbcUvrjLQUrjNCREStxbX1RABg1fR+GN7t+hdk2LuGvn+zyhERETXQ2ctlmL/5BICa9URYRJoGywgREVEDVOqNeHrtMZTrjRjY0Qtz7+Z6Ik2FZYSIiKgB/u/rk/j9Uil83FR4f2Ik1xNpQpxJIiKim/jy1xx8lXwBchnwwcRI+Lo7SR3JprCMEBER3UBGnhb/9/VJAMA/YrphUCdviRPZHpYRIiKi6yitqsbT645BZzDhjm5t8dTtnaSOZJNYRoiIiOohhMD8zWnIKixHoNoJ/xnfB3K5TOpYNollhIiIqB5rDp3Hd2l5UMpl+PDRvmjj6ih1JJvFMkJERPQXqTkleO27dABA/Kgw9A1uI3Ei28YyQkRE9CfF5XrMWncM1UaBe3v6Y8aQDlJHsnksI0RERFcZTQLPfpGC3JJKdPB2wVvjekMm43kizY1lhIiI6KolP57GvjOFcHKQ4+MpUfBwcpA6kl1gGSEiIgLwU8YlfLA7EwDwxt96o7s/b8zaUlhGiIjI7p0vKsfcjakAgGmDQjA2sp20gewMywgREdm1Sr0RsWuPobTKgL7BnlgwuofUkewOywgREdktIQQWbE1DRp4WPm6OWPpoFByVfGtsaZxxIiKyW2uPZGNLSi4Uchk+mNgX/mreAE8KLCNERGSXUrKvYPE3pwAAL97LG+BJiWWEiIjsTlGZDk9fXdhsZLg/nhjWUepIdo1lhIiI7IrBaMIzG1KQp6lCx7aueOthLmwmNZYRIiKyK+8knsbBs0VwcVTgk8lRcOfCZpJjGSEiIrux82Q+lv1yFgDw5kO90cXPXeJEBLCMEBGRnTh9qRRxX6YCAGYODcWYiEBpA5EZywgREdk8TUU1/r4mCRV6IwZ38kb8yO5SR6I/YRkhIiKbZjQJzPkiBX8UVaCdpzM+nNQXSgXf/loT/m0QEZFNe2fX79hz+jKcHOT4dGoUvFwdpY5Ef8EyQkRENuvbExex9E8nrPYMVEuciOrDMkJERDYpI0+L5zedAAA8eVtHPNCHd+JtrVhGiIjI5pRU6PH3z5NQWW3EsC4+eOFenrDamrGMEBGRTbm2wmpOcSWCvVzwwcRIKORcYbU1YxkhIiKb8tYPv2PfmUI4Oyjw6dQoeLrwhNXWjmWEiIhsxtepufh07zkAwNvjItDd30PiRNQQLCNERGQTTuZq8OLmmhNWn76jE0b3DpA4ETUUywgREVm9ojIdnvw8GVXVJtzRrS3+EdNN6khkAYvLyN69ezFmzBgEBgZCJpNh27ZtN91nz549iIqKgpOTEzp27IiPP/64MVmJiIjq0BtMeGrtMeSWVKKDtwvee4QnrFobi8tIeXk5IiIi8OGHHzZofFZWFkaNGoVhw4YhJSUFL730EubMmYPNmzdbHJaIiOjPhBD4v20ncfSPYrirlPhsWjTUzg5SxyILKS3dYeTIkRg5cmSDx3/88ccIDg7GkiVLAABhYWFISkrC22+/jYceesjSpyciIjJbdeAPbEzKgVwGvD8pEp193aWORI3Q7OeMHDp0CDExMbW23XPPPUhKSkJ1dXW9++h0Omi12loPIiKiP9tz+jJe+y4dAPDSqDAM7+YrcSJqrGYvI/n5+fDz86u1zc/PDwaDAYWFhfXuk5CQALVabX4EBQU1d0wiIrIimQVlmL3+GEwCGB/dHjOHhkodiW5Bi1xNI5PVPpFICFHv9mvi4+Oh0WjMj5ycnGbPSERE1qGkQo/H//srSqsM6NehDf45Nvy67ydkHSw+Z8RS/v7+yM/Pr7WtoKAASqUS3t7e9e6jUqmgUqmaOxoREVmZaqMJs9Yfwx9FFWjn6Yxlk6OgUiqkjkW3qNmPjAwaNAiJiYm1tu3atQvR0dFwcOAZz0RE1HD//DYdBzKL4OqowIrHouHjxv9xtQUWl5GysjKkpqYiNTUVQM2lu6mpqcjOzgZQ8xHL1KlTzeNjY2Nx/vx5xMXFISMjAytXrsSKFSvw3HPPNc0rICIiu/D54fNYc+g8ZDJgySORXOrdhlj8MU1SUhKGDx9u/nNcXBwAYNq0aVi9ejXy8vLMxQQAQkNDsWPHDsybNw8fffQRAgMD8f777/OyXiIiarCDmYV4dfspAMDz93TDiB5+N9mDrIlMXDubtBXTarVQq9XQaDTw8GATJiKyJ2cvl+FvSw9CU1mNsX0C8Z8JfXjCqpVo6Ps3701DREStVnG5HjNW/wpNZTUigz3xxkO9WURsEMsIERG1SlXVRvx9TRLOF1UgyMsZy6dGw8mBV87YIpYRIiJqdYQQeHHzCSSdvwJ3JyVWPdaPV87YMJYRIiJqdf7z4xl8nXoRSrkMH0+O4j1nbBzLCBERtSpbjl3A+z+dAQC8/mA4hnT2kTgRNTeWESIiajWOnCvCi5tPAABib++ECf2CJU5ELYFlhIiIWoWswnI8uTYZ1UaBUb388cI93aSORC2EZYSIiCR35eolvCUV1YgI8sS74/tALuclvPaCZYSIiCSlMxjx5NpkZBWWo52nMz7jJbx2h2WEiIgkI4RA/OY0HM0qhrtKiVXT+6GtOy/htTcsI0REJJkPdmdiS0ouFHIZlk7ui65+vITXHrGMEBGRJLYcu4B3E08DAP75QDiGdWkrcSKSCssIERG1uAOZhXjhq5pLeJ+8rSMmDeAlvPaMZYSIiFpURp4WsZ8nw2ASGBMRiBfv7S51JJIYywgREbWYiyWVmL7qV5TqDBgQ6oW3x/XmJbzEMkJERC1DU1mNx1YdRb62Cl183fDplGiolLyEl1hGiIioBegMRjz5eRJOXyqDr7sKq2f0h9rFQepY1EqwjBARUbMymQSe33QCh88Vw+3qWiLtPJ2ljkWtCMsIERE1q7d++B3bj1+EUi7Dssl90TNQLXUkamVYRoiIqNl8fugPfLznLADgjYd6cy0RqhfLCBERNYtdp/KxcPspAMA/RnTFw1HtJU5ErRXLCBERNblj2Vcw54sUmAQwsX8QZt/ZWepI1IqxjBARUZPKKizH4/9NQlW1CcO7tcU/HwiHTMa1ROj6WEaIiKjJFJbp8Niqoygu16N3ezU+nNQXSgXfaujG+BNCRERNolxnwMz/JuF8UQWCvJyxYlo/uKqUUsciK8AyQkREt6zaaMJT647heE4JPF0csHp6f7R1V0kdi6wEywgREd2SmkXNjmPv6ctwdlBg1WP90Kmtm9SxyIqwjBARUaMJIfD6jgxsS61Z1Gzp5L6IDG4jdSyyMiwjRETUaJ/sPYcV+7MAAG893BvDu/lKnIisEcsIERE1yqakHLzx/W8AgAWjwvC3vlzUjBqHZYSIiCz2U8YlzN+SBgB48raOeOK2jhInImvGMkJERBZJPl+MWeuPwWgSeKhve8wf2V3qSGTlWEaIiKjBTl8qxYzVNaur3tndF2881Iurq9ItYxkhIqIGyS2pxNQVR6GprEZksCc+mtQXDlxdlZpAo36Kli5ditDQUDg5OSEqKgr79u274fh169YhIiICLi4uCAgIwPTp01FUVNSowERE1PKulOsxdcUR5Gur0NnXDSun9YOzo0LqWGQjLC4jGzduxNy5c7FgwQKkpKRg2LBhGDlyJLKzs+sdv3//fkydOhUzZ87EqVOnsGnTJvz66694/PHHbzk8ERE1v9KqakxbdRRnL5cjQO2ENTP6o42ro9SxyIZYXEbeffddzJw5E48//jjCwsKwZMkSBAUFYdmyZfWOP3z4MDp06IA5c+YgNDQUQ4cOxZNPPomkpKRbDk9ERM2rUm/EzP8m4cQFDbxcHfH5zP4I9HSWOhbZGIvKiF6vR3JyMmJiYmptj4mJwcGDB+vdZ/Dgwbhw4QJ27NgBIQQuXbqEr776CqNHj77u8+h0Omi12loPIiJqWXqDCU+tS8bRrGK4q5RYM6M/Ovu6Sx2LbJBFZaSwsBBGoxF+fn61tvv5+SE/P7/efQYPHox169ZhwoQJcHR0hL+/Pzw9PfHBBx9c93kSEhKgVqvNj6CgIEtiEhHRLTKaBOZtTMUvv1+Gk4McK6f3Q3g7tdSxyEY16gTWv17GJYS47qVd6enpmDNnDl555RUkJydj586dyMrKQmxs7HW/f3x8PDQajfmRk5PTmJhERNQIQgi8tCUN36XlwUEhwydTotGvg5fUsciGKS0Z7OPjA4VCUecoSEFBQZ2jJdckJCRgyJAheP755wEAvXv3hqurK4YNG4bXXnsNAQEBdfZRqVRQqXjraSKiliaEwGvfZWBjUg7kMuD9RyJxe9e2UsciG2fRkRFHR0dERUUhMTGx1vbExEQMHjy43n0qKiogl9d+GoWi5nIwIYQlT09ERM3svZ/OmG989+ZDvTGyV93/YSRqahZ/TBMXF4fPPvsMK1euREZGBubNm4fs7Gzzxy7x8fGYOnWqefyYMWOwZcsWLFu2DOfOncOBAwcwZ84c9O/fH4GBgU33SoiI6Jas2J+FJT+eAQAsHNMD46J5vh61DIs+pgGACRMmoKioCIsXL0ZeXh7Cw8OxY8cOhISEAADy8vJqrTny2GOPobS0FB9++CH+8Y9/wNPTE3feeSfefPPNpnsVRER0S778NQf//DYdAPCPEV0xfUioxInInsiEFXxWotVqoVarodFo4OHhIXUcIiKb8t2JPDyz4RhMAvj7bR0RP7I77zdDTaKh79+8qQARkR3b/dslzN2YApMAJvYPZhEhSbCMEBHZqX1nLiN27TFUGwXGRATitbHhLCIkCZYRIiI7dPhcEZ5YkwS9wYSYHn54d3wEFHIWEZIGywgRkZ1JPn8FM1f/iqpqE4Z3a4sPJkXCQcG3A5IOf/qIiOzIiQsleGzlUZTrjRjS2RvLJkdBpVRIHYvsHMsIEZGdyMjTYsqKoyjVGdC/gxeWT42GkwOLCEmPZYSIyA5kFpRi8mdHoKmsRp8gT6yc3g8ujhYvNUXULFhGiIhsXFZhOSYtP4Kicj3C23ngvzP6w03FIkKtB8sIEZENyymuwKPLD6OgVIfu/u74fMYAqJ0dpI5FVAvLCBGRjcrTVGLSZ4dxUVOFTm1d8fnMAWjj6ih1LKI6WEaIiGxQgbYKk5YfQU5xJUK8XbDu8YFo666SOhZRvVhGiIhsTFGZDo9+dgRZheVo5+mM9U8MhL/aSepYRNfFMkJEZEOKy/V49LMjOFNQBj8PFdY/MQDtPJ2ljkV0QywjREQ2orhcj0nLD+O3/FL4uKmw7vGBCPF2lToW0U2xjBAR2YArV4+IXCsiX/x9IDr7ukkdi6hBWEaIiKzclXI9Jn12BBl52qtFZACLCFkVlhEiIitWfxFxlzoWkUVYRoiIrNS1j2ZqiogjNjzBIkLWiWWEiMgKlVToMXnFEaSbi8hAdPFjESHrxDJCRGRlSipqjoiculhTRNaziJCVYxkhIrIify4i3q41RaQriwhZOZYRIiIrce2jmWtFZMPfWUTINvAe0kREVuDaEu+/5ZfyiAjZHJYRIqJWrkBbZV7i3cetZol3FhGyJSwjREStWL6mCpOWH8a5wvKr95oZiE5tuaAZ2RaWESKiVurClQpMWn4E2cUVV+++O4D3miGbxDJCRNQKZRdVYOLyw8gtqUSwlwvWPzEA7du4SB2LqFmwjBARtTLnLpdh0vIjyNdWoaOPK9Y9MQABamepYxE1G5YRIqJW5MylUkxcfgSFZTp08XXDuscHwNfDSepYRM2KZYSIqJXIyNNi8mdHUFSuR3d/d6x7fAC83VRSxyJqdiwjREStQEr2FUxbeRTaKgPC23ng8xkD0MbVUepYRC2CZYSISGIHzxbi8f8moUJvRN9gT6ya3h9qZwepYxG1GJYRIiIJ/Zh+CU+vPwa9wYShnX3wyZQouKr4TzPZF/7EExFJ5OvUXMR9eRxGk0BMDz+8PzESTg4KqWMRtbhG3Shv6dKlCA0NhZOTE6KiorBv374bjtfpdFiwYAFCQkKgUqnQqVMnrFy5slGBiYhswfoj2Zi7MRVGk8CDke2w9NG+LCJktyw+MrJx40bMnTsXS5cuxZAhQ/DJJ59g5MiRSE9PR3BwcL37jB8/HpcuXcKKFSvQuXNnFBQUwGAw3HJ4IiJr9Mmes0j4/jcAwOSBwVh8fzjkcpnEqYikIxNCCEt2GDBgAPr27Ytly5aZt4WFhWHs2LFISEioM37nzp145JFHcO7cOXh5eTUqpFarhVqthkajgYeHR6O+BxGR1IQQeGfXaXz4cyYA4Kk7OuGFe7pBJmMRIdvU0Pdviz6m0ev1SE5ORkxMTK3tMTExOHjwYL37bN++HdHR0XjrrbfQrl07dO3aFc899xwqKyuv+zw6nQ5arbbWg4jImplMAou+STcXkRfu7YYX7+3OIkIECz+mKSwshNFohJ+fX63tfn5+yM/Pr3efc+fOYf/+/XBycsLWrVtRWFiIp59+GsXFxdc9byQhIQGLFi2yJBoRUatlMJowf0savkq+AAD45wM9MWVQB2lDEbUijTqB9a9NXghx3XZvMpkgk8mwbt069O/fH6NGjcK7776L1atXX/foSHx8PDQajfmRk5PTmJhERJLTGYx4ZkMKvkq+AIVchv9MiGARIfoLi46M+Pj4QKFQ1DkKUlBQUOdoyTUBAQFo164d1Gq1eVtYWBiEELhw4QK6dOlSZx+VSgWViksgE5F1K9MZEPt5MvZnFsJRIccHkyJxT09/qWMRtToWHRlxdHREVFQUEhMTa21PTEzE4MGD691nyJAhuHjxIsrKyszbTp8+Dblcjvbt2zciMhFR61dUpsOk5YexP7MQLo4KrHgsmkWE6Dos/pgmLi4On332GVauXImMjAzMmzcP2dnZiI2NBVDzEcvUqVPN4ydNmgRvb29Mnz4d6enp2Lt3L55//nnMmDEDzs68JTYR2Z6c4gqM+/gQTlzQoI2LA9Y/MRDDurSVOhZRq2XxOiMTJkxAUVERFi9ejLy8PISHh2PHjh0ICQkBAOTl5SE7O9s83s3NDYmJiXjmmWcQHR0Nb29vjB8/Hq+99lrTvQoiolbit3wtpq08iktaHdp5OmPNzP7o1NZN6lhErZrF64xIgeuMEJE1+PWPYsxc/Su0VQZ09XPDmhkD4K92kjoWkWQa+v7Ne9MQETWBH9MvYdb6Y9AZTIgKaYMV06Lh6eIodSwiq8AyQkR0izYl5WD+ljQYTQJ3dvfFR5P6wtmR95khaiiWESKiW/Dn+8w81Lc93nioFxwUjVrCichusYwQETWCySSQ8H0Glu/LAgD8/baOiB/J5d2JGoNlhIjIQnqDCS98dRzbUi8CAOJHdseTt3eSOBWR9WIZISKygKayGrGfJ+PQuSIo5TK88VBvPBzFBRyJbgXLCBFRA10sqcRjq47i9KUyuDoqsGxyFG7rysXMiG4VywgRUQOkX9Ri+uqaxcx83VVYNb0fegaqb74jEd0UywgR0U3sP1OI2LXJKNMZ0MXXDatn9Ec7T97OgqipsIwQEd3A5uQLeHHzCRhMAgNCvfDplGioXRykjkVkU1hGiIjqIYTAh7sz8U7iaQDA/RGB+Pe43lApuZgZUVNjGSEi+guD0YSXt53EF7/mAABib++EF+7pBrmca4gQNQeWESKiPynXGTB7/TH8/PtlyGXAovt7YsqgDlLHIrJpLCNERFddLKnEzP8mISNPCycHOT6Y2BcjevhJHYvI5rGMEBEBOHGhBI//NwkFpTr4uDli+dRoRAa3kToWkV1gGSEiu7fzZB7mbkxFVbUJ3fzcseKxaLRv4yJ1LCK7wTJCRHZLCIFle87irZ2/AwDu6NYWH0yMhLsTL90lakksI0Rkl/QGExZsTcOm5AsAgMcGd8DLo8OgVMglTkZkf1hGiMjulFToEbs2GYfPFUMuAxaO6YlpgztIHYvIbrGMEJFdySosx4zVvyKrsBxuKiU+mBSJ4d18pY5FZNdYRojIbhw6W4TYtcnQVFajnaczVj7WD9383aWORWT3WEaIyC5sOJqNV74+iWqjQJ8gTyyfGo227iqpYxERWEaIyMZVG03457fpWHPoPADgvt4BeHtcBJwceI8ZotaCZYSIbFZRmQ6z1h/D4XPFkMmA52K64ek7OkEm4z1miFoTlhEisknpF7V4Yk0Scksq4aZSYsmEPribS7sTtUosI0Rkc75Py0Pcl8dRWW1EB28XLJ8ajS5+PFGVqLViGSEim2EyCSz58TTe350JABjWxQcfTuwLtQtXVCVqzVhGiMgmlOkMmLcxFYnplwAAjw8NxfyR3bmiKpEVYBkhIqt3vqgcT6xJwulLZXBUypHwYC88FNVe6lhE1EAsI0Rk1fafKcSs9cegqayGr7sKn0yJQmRwG6ljEZEFWEaIyCoJIfDJ3nN4a+dvMAmgT5AnPpkSBT8PJ6mjEZGFWEaIyOqUVlXj+U0nsPNUPgDg4aj2eG1sOBcyI7JSLCNEZFXOXCrFk2uTce5yORwUMrx6f09M6h/MhcyIrBjLCBFZjW9PXMQLX51Ahd6IALUTlj7al+eHENmARl3ztnTpUoSGhsLJyQlRUVHYt29fg/Y7cOAAlEol+vTp05inJSI7de3+MrPXp6BCb8TgTt749pmhLCJENsLiMrJx40bMnTsXCxYsQEpKCoYNG4aRI0ciOzv7hvtpNBpMnToVd911V6PDEpH9KSitwqPLj2DF/iwAwFN3dMKaGf3h7cY77hLZCpkQQliyw4ABA9C3b18sW7bMvC0sLAxjx45FQkLCdfd75JFH0KVLFygUCmzbtg2pqakNfk6tVgu1Wg2NRgMPDw9L4hKRFUv6oxhPrzuGglId3FRKvD0uAveG+0sdi4gaqKHv3xYdGdHr9UhOTkZMTEyt7TExMTh48OB191u1ahXOnj2LhQsXNuh5dDodtFptrQcR2Q8hBFYdyMIjnx5GQakOXXzdsH32EBYRIhtl0QmshYWFMBqN8POrfedLPz8/5Ofn17vPmTNnMH/+fOzbtw9KZcOeLiEhAYsWLbIkGhHZiNKqasRvScO3J/IAAPf1DsCbD/WGq4rn2xPZqkadwPrXS+iEEPVeVmc0GjFp0iQsWrQIXbt2bfD3j4+Ph0ajMT9ycnIaE5OIrEz6RS3u//AAvj2RB6Vchv+7rwc+mBjJIkJk4yz6L9zHxwcKhaLOUZCCgoI6R0sAoLS0FElJSUhJScHs2bMBACaTCUIIKJVK7Nq1C3feeWed/VQqFVQqnpxGZC+EENhwNAevfnMKeoMJgWonfDCpL6JCeLUMkT2wqIw4OjoiKioKiYmJePDBB83bExMT8cADD9QZ7+HhgbS0tFrbli5dit27d+Orr75CaGhoI2MTka0o1xnw0tY0fJ16EQBwZ3dfvDMuAm1cHSVORkQtxeJjn3FxcZgyZQqio6MxaNAgfPrpp8jOzkZsbCyAmo9YcnNzsWbNGsjlcoSHh9fa39fXF05OTnW2E5H9+S1fi6fXHcO5y+VQyGV4/p5u+PuwjpDLuZoqkT2xuIxMmDABRUVFWLx4MfLy8hAeHo4dO3YgJCQEAJCXl3fTNUeIyL4JIbAp6QJe2X4SVdUm+Hs44YNJkejXwUvqaEQkAYvXGZEC1xkhsh3aqmos2HoS3xyv+Vjmtq5t8Z/xEVzEjMgGNfT9m6eoE1GLOZZ9BXM2pODClUoo5DLEjeiKp27vxI9liOwcywgRNTujSeDjPWfxbuJpGE0C7ds44/2JkejLe8sQEVhGiKiZ5WuqMHdjCg6fKwYA3B8RiNceDIeHk4PEyYiotWAZIaJms+tUPl7YfAIlFdVwcVRg8QPheKhvu3oXSSQi+8UyQkRNrlJvxL92ZODzw+cBAL3aqfHeI33Qsa2bxMmIqDViGSGiJnXiQgnmbUzF2cvlAIC/39YRz8V0g6OyUXefICI7wDJCRE3CYDRh6S9n8f5PZ2AwCfi6q/D2uAjc1rWt1NGIqJVjGSGiW3buchnivjyO1JwSAMDoXgF4bWw4l3QnogZhGSGiRhNCYO2RbPzruwxUVhvh7qTEPx8IxwN9AnmSKhE1GMsIETVKgbYKL2w+gV9+vwwAGNzJG2+Pi0Cgp7PEyYjI2rCMEJHFdqTl4aWtaSipqIajUo7593bHY4M7cCVVImoUlhEiarDicj0Wbj9lvq9Mz0APLJnQB1383CVORkTWjGWEiBpk58k8vLztJArL9JDLgKfv6Iw5d3XhJbtEdMtYRojohorKdFi4/RS+PZEHAOjq54Z/PxyBiCBPaYMRkc1gGSGi69qRlof/23YSReV6KOQyPHV7JzxzV2eolAqpoxGRDWEZIaI6Cst0WPj1KXyXVnM0pJufO94eF4Fe7dUSJyMiW8QyQkRmQgh8l5aHV74+heKrR0Nm3dEJs+/kuSFE1HxYRogIAHC5VIdXvj6J70/mAwC6+9ccDQlvx6MhRNS8WEaI7JwQApuSL+D17zKgqayGUi7DrOGdMWt4Zx4NIaIWwTJCZMfOF5Xjpa1pOJBZBADoEeCBf4/rjZ6BPBpCRC2HZYTIDhmMJny2Pwv/STwNncEElVKOuBFdMXNoKJQKHg0hopbFMkJkZ9IuaPDi5hNIz9MCAIZ09sa/HuyFEG9XiZMRkb1iGSGyE+U6A5b8eBor9mfBJAC1swNeHh2Gh6Pa8w67RCQplhEiGyeEwM6T+Vj0TTrytVUAgPsjAvHKmB7wcVNJnI6IiGWEyKadLyrHK1+fwp7TlwEAwV4uWPRATwzv5itxMiKi/2EZIbJBVdVGfLLnHD76JRN6gwmOCjlib++Ip4d3hpMDl3InotaFZYTIxuw7cxmvfH0KWYXlAIChnX2w+IGe6NjWTeJkRET1YxkhshHni8rx+ncZ2JV+CQDg667C/93XA/f1DuAJqkTUqrGMEFm5Mp0BH/2ciRX7sqA3mqCQyzB1UAjmjegKDycHqeMREd0UywiRlTKZBLam5OLNnb+hoFQHABjWxQev3NcDXfzcJU5HRNRwLCNEVuhY9hUs+iYdx3NKAAAh3i54eXQP3B3my49kiMjqsIwQWZFL2iq8+f1v2JKSCwBwdVTgmbu6YPqQDlApeZUMEVknlhEiK1ChN+CzfVn4eM9ZVOiNAIBxUe3x/L3d4OvuJHE6IqJbwzJC1IoZjCZsTMrBkh/P4PLV80L6Bnti4ZieiAjylDYcEVETadTtOZcuXYrQ0FA4OTkhKioK+/btu+7YLVu2YMSIEWjbti08PDwwaNAg/PDDD40OTGQPhBD44VQ+7lmyFwu2nsTlUh2CvVzw/sRIbH5qMIsIEdkUi8vIxo0bMXfuXCxYsAApKSkYNmwYRo4ciezs7HrH7927FyNGjMCOHTuQnJyM4cOHY8yYMUhJSbnl8ES2KPl8McZ9fAhPfp6Ms5fL4eXqiIVjeuDHuNtxf0QgT1AlIpsjE0IIS3YYMGAA+vbti2XLlpm3hYWFYezYsUhISGjQ9+jZsycmTJiAV155pUHjtVot1Go1NBoNPDw8LIlLZDXOXi7DWzt/ww+nahYtc3KQY+bQUDx5eyeuF0JEVqmh798WnTOi1+uRnJyM+fPn19oeExODgwcPNuh7mEwmlJaWwsvL67pjdDoddDqd+c9ardaSmERWpaC0Cu/9eAZf/JoDo0lALgPGRwdh7t1d4a/myalEZPssKiOFhYUwGo3w8/Ortd3Pzw/5+fkN+h7vvPMOysvLMX78+OuOSUhIwKJFiyyJRmR1Sir0+GTvOaw+8Acqq2uukLk7zBcv3tudi5YRkV1p1NU0f/3MWgjRoM+xN2zYgFdffRVff/01fH2vfwvz+Ph4xMXFmf+s1WoRFBTUmKhErU6ZzoBV+7Pw6d5zKNUZAAB9gjzx0qgw9A+9/hFDIiJbZVEZ8fHxgUKhqHMUpKCgoM7Rkr/auHEjZs6ciU2bNuHuu+++4ViVSgWVSmVJNKJWr6raiLWHz2PpL2dRXK4HAHT3d8dzMd1wF1dOJSI7ZlEZcXR0RFRUFBITE/Hggw+atycmJuKBBx647n4bNmzAjBkzsGHDBowePbrxaYmsULXRhC+TcvDBT5nI11YBAEJ9XDFvRFfc1ysAcjlLCBHZN4s/pomLi8OUKVMQHR2NQYMG4dNPP0V2djZiY2MB1HzEkpubizVr1gCoKSJTp07Fe++9h4EDB5qPqjg7O0OtVjfhSyFqXYwmga9Tc7HkxzPILq4AALTzdMazd3XB3/q2g1LRqGV+iIhsjsVlZMKECSgqKsLixYuRl5eH8PBw7NixAyEhIQCAvLy8WmuOfPLJJzAYDJg1axZmzZpl3j5t2jSsXr361l8BUStjNAl8e+IiPtidicyCMgCAj5sKs4d3wsQBwbyHDBHRX1i8zogUuM4IWQOD0YRvrpaQc5fLAQBqZwfE3t4J0waHwMWRd18gIvvSLOuMEFFdBqMJ21Iv4qOfM5FVWFNCPF0c8PjQUEwb3AHuXLCMiOiGWEaIGqnaaMLWlFx89HMmzhfVnBPSxsUBjw/riGmDO8BNxf+8iIgagv9aEllIZzBiy7FcLP0lEznFlQAAL1dH/P22jpgyMASuLCFERBbhv5pEDVRaVY31R7KxYn8WCkprblfg41ZTQiYP5DkhRESNxX89iW7icqkOqw5k4fPD51FaVbNiqr+HEx4fFopHB4TA2ZFXxxAR3QqWEaLryC6qwKf7zuLLpAvQG0wAgE5tXRF7eyc80KcdHJVcJ4SIqCmwjBD9iRACv/5xBSv3Z2FXej5MVy987xPkiafu6IQRYX5cMZWIqImxjBAB0BtM+PbERaw8kIWTuVrz9tu6tsXTd3TCgFAv3juGiKiZsIyQXSsq02H9kWysOXwel6+elKpSyvG3vu0xfUgHdPVzlzghEZHtYxkhu5R+UYv/HvwDW1NzzeeD+HmoMHVQB0zsHwwvV0eJExIR2Q+WEbIbVdVG7EjLw9rD53Esu8S8vXd7NWYODcXI8ACelEpEJAGWEbJ5WYXlWH/kPDYlX0BJRTUAQCmX4Z5wf8wY0gF9g9vwfBAiIgmxjJBNqjaa8GP6Jaw7ko39mYXm7e08nTFpQDDGRbeHr7uThAmJiOgalhGyKX8UluOr5Av4MinHvEqqTAYM7+aLyQODcXtXXyh4aS4RUavCMkJWr1xnwI60PGxKvoCjWcXm7T5ujpjQLwgT+wejfRsXCRMSEdGNsIyQVRJCIOn8FWxKysF3J/JQrjcCAOQyYFiXthgfHYQRPfx4QioRkRVgGSGrkqepxJZjufgq+QKyCsvN2zt4u2BcdBD+1rcdAtTOEiYkIiJLsYxQq1dSocf3J/PxdWoujmQVQ1xdot3FUYHRvQIwvl8QokN4RQwRkbViGaFWqUJvwI8ZBdiemos9py+j2ijMX+vfwQsPR7fH6F4BcFXxR5iIyNrxX3JqNaqNJuw/U4ivU3OxK/0SKq6eBwIAYQEeeKBPIMZEBKKdJz+GISKyJSwjJCmTSeBY9hVsS83FdyfycOXqomQAEOTljAci2uH+PoG8RwwRkQ1jGaEWZzQJJP1RjO9P5mPnyXzka6vMX/Nxc8R9vQNxf59ARAZ58jwQIiI7wDJCLcJgNOFIVjF2pOXhh1P5KCzTm7/mplLinp7+eKBPIAZ38oZSwctxiYjsCcsINRudwYhDZ4vwfVo+dqXn1/oIxsNJiZie/hgZ7o+hXXygUiokTEpERFJiGaEmdblUh59/L8DujALsO3PZvBgZAHi5OuKenn64NzwAgzp6c0EyIiICwDJCt0gIgVMXtdj9WwF++q0Ax3NKan3d112Fe64eAekf6sWPYIiIqA6WEbKYtqoah88W1RwB+a0Al7S6Wl/v3V6NO7v74q7ufugZ6AE5b0xHREQ3wDJCN1VtNCE1pwT7zhTiQGYhUnNKYDT9bxEyF0cFhnb2wV1hvhjezRe+Hk4SpiUiImvDMkJ1GE0CGXlaHMkqxqGzhTh8rhhlOkOtMaE+rritiw/uDPPDwI5ePAGViIgajWWEoDMYceKCBkezinE0qxjJ56/UKR9tXBwwpLMPhnXxwZDOPmjfxkWitEREZGtYRuzQJW0VUrJLkJpTgmPZV5CaUwK9wVRrjLtKiegObdA/1BvDuvigRwDP/SAioubBMmLjNJXVyMjT4sSFmvKRml2Ci5qqOuN83BzRP9QL/Tp4oX+oF7r7e0DB8kFERC2AZcRGCCGQW1KJ9ItapOdpzb9euFJZZ6xcBnT1c0dksCf6BHmiXwcvhPq4cul1IiKSBMuIlTGaBHKvVOLs5TJkFlx9XC7DmUul0FYZ6t2nnaczegZ6oE+wJyKD2qB3ezVcVfyrJyKi1qFR70hLly7Fv//9b+Tl5aFnz55YsmQJhg0bdt3xe/bsQVxcHE6dOoXAwEC88MILiI2NbXRoWyeEwJWKamQXVyC7uALnrhaPs5fLce5yGXR/Ob/jGqVchi5+7ugR4IEegR41vwZ4QO3i0MKvgIiIqOEsLiMbN27E3LlzsXTpUgwZMgSffPIJRo4cifT0dAQHB9cZn5WVhVGjRuGJJ57A2rVrceDAATz99NNo27YtHnrooSZ5EdbGaBIoKtPhklaHgtIq5GmqkFNcgfNFNeUjp7gCpbr6j3IAgKNCjlAfV3T2dUMnXzd0alvz+86+brzEloiIrI5MCCFuPux/BgwYgL59+2LZsmXmbWFhYRg7diwSEhLqjH/xxRexfft2ZGRkmLfFxsbi+PHjOHToUIOeU6vVQq1WQ6PRwMPDw5K4LcJkEiitMqC4Qo/icj1KzL9Wo7hCjyvlelwu1eFSaRUKtDoUlulgasCs+3moEOLlimBvl5qy0bamcAR5ufDkUiIiavUa+v5t0ZERvV6P5ORkzJ8/v9b2mJgYHDx4sN59Dh06hJiYmFrb7rnnHqxYsQLV1dVwcKj7EYJOp4NO978lxrVarSUxG2xz8gWk5WpgEgJGkzD/ajThf78XAiaTgN5gQmW1seahN6LqT78v1xtrrUjaEHIZ4OOmgp+HE/w8VAjyckHw1UeItwvat3GBkwOPchARke2zqIwUFhbCaDTCz8+v1nY/Pz/k5+fXu09+fn694w0GAwoLCxEQEFBnn4SEBCxatMiSaI3yy+nL+Ob4xSb7fq6OCrRxdUQbF8ervzrU/N7FEW3dVfDzUMHXvaZ8eLupeHSDiIgIjTyB9a+XgAohbnhZaH3j69t+TXx8POLi4sx/1mq1CAoKakzUG4rp4YdgL2coZDLI5bL//frn38sAhVwGR6UcTg4KODso4OxY86vT1d+7qZTwdHHg+RpERESNYFEZ8fHxgUKhqHMUpKCgoM7Rj2v8/f3rHa9UKuHt7V3vPiqVCiqVypJojTImIhBjIgKb/XmIiIjo+uSWDHZ0dERUVBQSExNrbU9MTMTgwYPr3WfQoEF1xu/atQvR0dH1ni9CRERE9sWiMgIAcXFx+Oyzz7By5UpkZGRg3rx5yM7ONq8bEh8fj6lTp5rHx8bG4vz584iLi0NGRgZWrlyJFStW4Lnnnmu6V0FERERWy+JzRiZMmICioiIsXrwYeXl5CA8Px44dOxASEgIAyMvLQ3Z2tnl8aGgoduzYgXnz5uGjjz5CYGAg3n//fbtdY4SIiIhqs3idESm09nVGiIiIqK6Gvn9b/DENERERUVNiGSEiIiJJsYwQERGRpFhGiIiISFIsI0RERCQplhEiIiKSFMsIERERSYplhIiIiCTFMkJERESSsng5eClcWyRWq9VKnISIiIga6tr79s0We7eKMlJaWgoACAoKkjgJERERWaq0tBRqtfq6X7eKe9OYTCZcvHgR7u7ukMlkTfZ9tVotgoKCkJOTw3veNDPOdcvgPLcMznPL4Dy3nOaaayEESktLERgYCLn8+meGWMWREblcjvbt2zfb9/fw8OAPegvhXLcMznPL4Dy3DM5zy2mOub7REZFreAIrERERSYplhIiIiCRl12VEpVJh4cKFUKlUUkexeZzrlsF5bhmc55bBeW45Us+1VZzASkRERLbLro+MEBERkfRYRoiIiEhSLCNEREQkKZYRIiIikpRdl5GlS5ciNDQUTk5OiIqKwr59+6SOZDUSEhLQr18/uLu7w9fXF2PHjsXvv/9ea4wQAq+++ioCAwPh7OyMO+64A6dOnao1RqfT4ZlnnoGPjw9cXV1x//3348KFCy35UqxKQkICZDIZ5s6da97GeW46ubm5mDx5Mry9veHi4oI+ffogOTnZ/HXO9a0zGAx4+eWXERoaCmdnZ3Ts2BGLFy+GyWQyj+E8N87evXsxZswYBAYGQiaTYdu2bbW+3lTzeuXKFUyZMgVqtRpqtRpTpkxBSUnJrYUXduqLL74QDg4OYvny5SI9PV08++yzwtXVVZw/f17qaFbhnnvuEatWrRInT54UqampYvTo0SI4OFiUlZWZx7zxxhvC3d1dbN68WaSlpYkJEyaIgIAAodVqzWNiY2NFu3btRGJiojh27JgYPny4iIiIEAaDQYqX1aodPXpUdOjQQfTu3Vs8++yz5u2c56ZRXFwsQkJCxGOPPSaOHDkisrKyxI8//igyMzPNYzjXt+61114T3t7e4ttvvxVZWVli06ZNws3NTSxZssQ8hvPcODt27BALFiwQmzdvFgDE1q1ba329qeb13nvvFeHh4eLgwYPi4MGDIjw8XNx33323lN1uy0j//v1FbGxsrW3du3cX8+fPlyiRdSsoKBAAxJ49e4QQQphMJuHv7y/eeOMN85iqqiqhVqvFxx9/LIQQoqSkRDg4OIgvvvjCPCY3N1fI5XKxc+fOln0BrVxpaano0qWLSExMFLfffru5jHCem86LL74ohg4det2vc66bxujRo8WMGTNqbfvb3/4mJk+eLITgPDeVv5aRpprX9PR0AUAcPnzYPObQoUMCgPjtt98andcuP6bR6/VITk5GTExMre0xMTE4ePCgRKmsm0ajAQB4eXkBALKyspCfn19rjlUqFW6//XbzHCcnJ6O6urrWmMDAQISHh/Pv4S9mzZqF0aNH4+677661nfPcdLZv347o6GiMGzcOvr6+iIyMxPLly81f51w3jaFDh+Knn37C6dOnAQDHjx/H/v37MWrUKACc5+bSVPN66NAhqNVqDBgwwDxm4MCBUKvVtzT3VnGjvKZWWFgIo9EIPz+/Wtv9/PyQn58vUSrrJYRAXFwchg4divDwcAAwz2N9c3z+/HnzGEdHR7Rp06bOGP49/M8XX3yBY8eO4ddff63zNc5z0zl37hyWLVuGuLg4vPTSSzh69CjmzJkDlUqFqVOncq6byIsvvgiNRoPu3btDoVDAaDTi9ddfx8SJEwHwZ7q5NNW85ufnw9fXt8739/X1vaW5t8syco1MJqv1ZyFEnW10c7Nnz8aJEyewf//+Ol9rzBzz7+F/cnJy8Oyzz2LXrl1wcnK67jjO860zmUyIjo7Gv/71LwBAZGQkTp06hWXLlmHq1KnmcZzrW7Nx40asXbsW69evR8+ePZGamoq5c+ciMDAQ06ZNM4/jPDePppjX+sbf6tzb5cc0Pj4+UCgUdVpcQUFBndZIN/bMM89g+/bt+Pnnn9G+fXvzdn9/fwC44Rz7+/tDr9fjypUr1x1j75KTk1FQUICoqCgolUoolUrs2bMH77//PpRKpXmeOM+3LiAgAD169Ki1LSwsDNnZ2QD4M91Unn/+ecyfPx+PPPIIevXqhSlTpmDevHlISEgAwHluLk01r/7+/rh06VKd73/58uVbmnu7LCOOjo6IiopCYmJire2JiYkYPHiwRKmsixACs2fPxpYtW7B7926EhobW+npoaCj8/f1rzbFer8eePXvMcxwVFQUHB4daY/Ly8nDy5En+PVx11113IS0tDampqeZHdHQ0Hn30UaSmpqJjx46c5yYyZMiQOpennz59GiEhIQD4M91UKioqIJfXfutRKBTmS3s5z82jqeZ10KBB0Gg0OHr0qHnMkSNHoNFobm3uG33qq5W7dmnvihUrRHp6upg7d65wdXUVf/zxh9TRrMJTTz0l1Gq1+OWXX0ReXp75UVFRYR7zxhtvCLVaLbZs2SLS0tLExIkT672MrH379uLHH38Ux44dE3feeafdX553M3++mkYIznNTOXr0qFAqleL1118XZ86cEevWrRMuLi5i7dq15jGc61s3bdo00a5dO/OlvVu2bBE+Pj7ihRdeMI/hPDdOaWmpSElJESkpKQKAePfdd0VKSop5yYqmmtd7771X9O7dWxw6dEgcOnRI9OrVi5f23oqPPvpIhISECEdHR9G3b1/zZal0cwDqfaxatco8xmQyiYULFwp/f3+hUqnEbbfdJtLS0mp9n8rKSjF79mzh5eUlnJ2dxX333Seys7Nb+NVYl7+WEc5z0/nmm29EeHi4UKlUonv37uLTTz+t9XXO9a3TarXi2WefFcHBwcLJyUl07NhRLFiwQOh0OvMYznPj/Pzzz/X+uzxt2jQhRNPNa1FRkXj00UeFu7u7cHd3F48++qi4cuXKLWWXCSFE44+rEBEREd0auzxnhIiIiFoPlhEiIiKSFMsIERERSYplhIiIiCTFMkJERESSYhkhIiIiSbGMEBERkaRYRoiIiEhSLCNEREQkKZYRIiIikhTLCBEREUmKZYSIiIgk9f8evzB9vGVuUQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(poisson_process_1(3, 1000))\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "544262c6", + "metadata": {}, + "source": [ + "2D Random walk" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "21210a83", + "metadata": {}, + "outputs": [], + "source": [ + "def walk_2d(n):\n", + " x_arr = [0]\n", + " y_arr = [0]\n", + " for i in range(n):\n", + " theta = np.random.uniform(0, 2 * np.pi)\n", + " dx = np.cos(theta)\n", + " dy = np.sin(theta)\n", + " \n", + " x_arr.append(x_arr[-1] + dx)\n", + " y_arr.append(y_arr[-1] + dy)\n", + "\n", + " plt.plot(x_arr, y_arr)\n", + " plt.title('2D walk')\n", + " plt.xlabel('x')\n", + " plt.ylabel('y')\n", + "\n", + " # return x_arr, y_arr\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "bbed1243", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "walk_2d(2000)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "f7be9f12", + "metadata": {}, + "outputs": [], + "source": [ + "def walk_2d_1(n):\n", + " theta_arr = np.random.random(n) * 2* np.pi\n", + " arr = np.exp(theta_arr * 1j).cumsum()\n", + " plt.plot(arr.real, arr.imag)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "d598afe8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+125.77389303622144,495.0156866006064 +436.974343207291,1694.8826223111957 +323.1883826636308,1254.5454258907803 diff --git a/assMath/ass2B/aakashks/2B-q1.ipynb b/assMath/ass2B/aakashks/2B-q1.ipynb new file mode 100644 index 00000000..eea5e4f3 --- /dev/null +++ b/assMath/ass2B/aakashks/2B-q1.ipynb @@ -0,0 +1,572 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "from scipy.stats import norm, poisson\n", + "\n", + "np.random.seed(42)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Linear Regression" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$$ Y = X\\theta + \\epsilon $$\n", + "as we take error $\\epsilon$ to be guassian\n", + "\n", + "$$ Y \\sim N(\\mu, \\Sigma) \\text{ where } \\mu = X\\theta$$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# create toy data where X has 2 features and sample size is 1000\n", + "x = np.random.random(1000) * 10\n", + "# x" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a = 2\n", + "b = 5\n", + "error_std = 2\n", + "\n", + "# add guassian noise\n", + "y = a * x + b + np.random.normal(loc=0, scale=error_std, size=1000)\n", + "plt.scatter(x, y, s=10)\n", + "x_axis = np.linspace(0, 10, 100)\n", + "plt.plot(x_axis, a*x_axis + b, color='yellow')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "using normal equation to find the parameters\n", + "$$ \\theta = (X^TX)^{-1} X^Ty $$" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[3.74540119, 1. ],\n", + " [9.50714306, 1. ],\n", + " [7.31993942, 1. ],\n", + " ...,\n", + " [1.36818631, 1. ],\n", + " [9.50237354, 1. ],\n", + " [4.46005773, 1. ]])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X = np.column_stack([x, np.ones(x.shape[0])])\n", + "X" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1.96904297, 5.34956052])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "theta = np.linalg.multi_dot([np.linalg.inv(X.T.dot(X)), X.T, y])\n", + "theta" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sigma = 1\n", + "\n", + "plt.scatter(x, y, s=10, label='data')\n", + "x_axis = np.linspace(0, 10, 100)\n", + "y_pred = theta[0]*x_axis + theta[1]\n", + "plt.plot(x_axis, a*x_axis + b, color='yellow', label='actual')\n", + "plt.plot(x_axis, y_pred, color='red', label='predicted')\n", + "\n", + "# showing 95 % confidence interval using 2sigma\n", + "plt.fill_between(x_axis, y_pred - 2*sigma, y_pred + 2*sigma, alpha=0.3, label='confidence_interval')\n", + "\n", + "plt.legend()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Q1\n", + "(A) the expected value of p(y|x) is the predicted line or it tells what is most likely to be the y for that given x. it is relatively simple and often provides a good approximation of the underlying distribution. Also, its like we are essentially trying to minimize our loss function (MSE). it corresponds to finding the optimal value of MLE estimators\n", + "\n", + "(B) sigma has no role, it is only deciding the bounding confidence interval. it is the standard deviation of errors in the dataset. it represents the level of uncertainty in the data and how much it is spread apart. \n", + "\n", + "(C) taking poisson dist" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Regression by Poisson y\n", + "\n", + "poisson distribution belongs to the exponential family\n", + "\n", + "so if we use poisson distribution to make our linear model\\\n", + "we are considering that the error is poisson distributed or \n", + "$$ y|x ;\\theta \\sim Poisson(\\lambda) $$\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "by applying the concepts of GLM, we find that\n", + "\n", + "$$ \\lambda = e^{\\theta^T x} $$\n", + "$$ E(y|x;\\theta) = \\lambda $$\n", + "$$ \\implies h_\\theta(x) = e^{\\theta^T x} $$" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# visualising poisson distribution\n", + "\n", + "poisson_x_axis = np.arange(0, 50)\n", + "\n", + "for i in range(5, 30, 5):\n", + " plt.plot(poisson_x_axis, poisson.pmf(poisson_x_axis, mu=i), marker='.', label=f'$\\lambda=${i}')\n", + "\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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YdHkTRvZ8mn2X1iv9WCvnLYM08yEiIo5nNTSap8jw5vnz8Oqr0KIFrF0LVavC9Ol8PmdJgcIj2EKjVqjJmIiIOJrVjp8pqRnFhze//x4GDIBvvjG3u3Uz26Q3alT6sVbO60DufH6r+BAREcfyWcfPs2fhlVfgxRfh9GmoVs1sFPb442bHUinEnc9vZT5ERMSxSgpvelx87NoFDz9s9uoA6N4d5s2D+q6vGSMlU/kmIiKO5dXw5pkz8I9/QEyMWXiEh8OCBfDppyo8vEzFh4hIgHLisun+HrM3wpspqRl8/u4qTrZuCy+8YBYhd9wBu3ebMyAhId4etmVOfG9cSF+7iIgEICcum27XmK10/Jzy0TYqJUxiyMb3qXj+HKfCwqkyZxbcd19AFh3gzPfGxTTzISISYLzRAdPf7B6zJx0/9370Gf/3yP/x9Pr3qHj+HJ9ccx3X95tBSpeeAVt42H2dvUXFh4hIgHFiB0xHjfnUKRg5kqvv7ME1v6ZytGoNBvcazdDeY/j1kpqBOeb/cdR1LoG+dhERCTBO7IDpmDF/843Zt+P77wkBljXtxks3P87xKn/cGurOmP3d58Mx17kUKj5ERAJMXojywun1QO+AGVO/Jq2jw9malpm/r3V0eOCM+cQJeO45eO01MAyIioI5c9hb4SqOe3idrWQvPD024K+zi1R8iIgEIKctm56SmlHgAxFga1omKakZ9o/9iy/MNVn27ze3H3kE/vlPqFGD0eDRdS4ue9GjWWSpz2H12IC9zm5Q5kNEJEA5adn0gMwiZGXBoEFw001m4VG/PqxaZbZHr1Ej/2GeXGcrr9euYwOJW8VHXFwcISEhBX4iIyPzf28YBnFxcURFRVGlShW6devGrl27vD5oEREJLAGXRfj0U2jWDF5/3dwePBh27jS7lXqBlddr17GBxO2Zj2bNmnH48OH8nx07duT/bvLkyUydOpUZM2aQnJxMZGQksbGxZGdne3XQIiISWLzV7Mty46yMDLMxWM+ecPAgXHmluRLtrFkQFlbkIVNW7eG+uRuYsmqPy6ex8nrtOjaQuJ35qFChQoHZjjyGYTBt2jTGjh1Lnz59AFi0aBEREREsXryYgQMHWh+tiIgErI37jhXY3nDRdkm80jjrww/Nr1nS080+HU8/bbZLv6T4WYH2E9ZwNDv3f+P9jSWb0kgeG+veef/HnVVarWR6nJYHKorbMx8//PADUVFRNGzYkL/85S/s22e+Wfbv3096ejrdL5jSCg0NpWvXrqxfX3jFwTw5OTlkZWUV+BEREWdJTE4tMgiZmJxa6rGWG2cdPWp2JO3d2yw8rrkGvv7aXJW2hMJjyqo9+YVH/lNl57o0A+KNZl9WMj1OygMVxa3io0OHDrz11lusWrWKefPmkZ6eTufOnTl27Bjp6ekAREREFDgmIiIi/3dFiY+PJzw8PP8nOjrag5chIiJ22pZ23K39F/I4RGkYsGSJme147z1zqfvRo2HrVujcudTzbjlQdKFQ3H5Xxua04Kdd3Co+evbsyV133UWLFi24+eab+eSTTwDz65U8IRe1pDUMo9C+C40ZM4bMzMz8n7S0NHeGJCIiAaBVdA239l/IoxBlejrcdRf07WvOfDRvDv/v/0F8PFSu7MKIoU2DomcNittvecySz9KttpdccgktWrTghx9+yM+BXDzLceTIkUKzIRcKDQ2levXqBX5ERMQ+ngQ/+7avT+vo8AL7YqLD6du+9KXo3QpRGga89RY0bQrLlkGFCjBuHGzeDO3auTxegGd7XEvtsEoF9tUJq8SzPa717pilEEtNxnJycvjuu++4/vrradiwIZGRkaxZs4aYmBgAcnNzSUpKIiEhwSuDFRER37IS/Fw+tAuJyalsSztOq+gaLhUeeVwKUR48CAMHwooV5nZMDCxcCK1auXyeiyWPjWXKqj1sOZBBmwY1XSo83BqzFCnEMAyXA7p/+9vfuOOOO6hfvz5HjhzhH//4B0lJSezYsYMGDRqQkJBAfHw8CxcupHHjxkycOJF169axd+9ewoq5xeliWVlZhIeHk5mZqVkQERE/SknN4M5ZhW8QWDaks70frIYB8+fDiBFm47BKlSAuDv72N6hY0b5xSQHufH67NfNx8OBB7rvvPn799Vdq165Nx44d2bhxIw0aNABg5MiRnDp1iiFDhpCRkUGHDh1YvXq1y4WHiIjYp6QQpW3Fx08/ma3RP//c3O7QARYsML92Ecdya+bDHzTzISJij4Ca+Th/HmbPhlGjzEXhKleGCRPM3h3ly/t3LOISdz6/tbaLiIgAARSi/OEH6NYNnnjCLDyuvx62b4fhwwOu8PBKV9YgpFVtRUQkn60hynPnYNo0eP55OH3abBCWkGCuy1Iu8P6t7JWurEFKxYeIiBQQU7+m/2c7du82l7rfuNHcvvlmmDcPrrjCv+NwUXEdTns0i9RdLy4IvFJSRESCx5kzMHGiedvsxo1QvbpZdKxeHbCFB6jDqVWa+RAREXts2wYDBsCWLeb2rbfC669DvXr2jssF6nBqjWY+RCQoKBjoOivXyqVjc3PNrqTt2pmFR82a8NZbpMz6F0uP4Ii/UcCEcx1KMx8iUuYpGOg6K9fKpWM3bYKHH4adO83tO++EWbOYlJLBnNkbPDqvXdTh1HOa+RCRMs0bS58HCyvXqtRjT582V5zt0MEsPC67DBIT4YMPSMkNdezfyOlL29tFxYeIlGkKBrrOyrUq8dj166F1a/O22fPn4S9/Me9uufdeCAnR3ygI6WsXESnTFAx0nZVrVdRjKp85TZdZE2DB6+b6LJGRZtfS3r29dl5xJs18iEiZpmCg66xcq4uP7Zi6nQ3vPkOd+XPMwqNfP3O246LCw+p5xZm0touIBIWU1AwFA11k5Vpt251K2LjnufLf/zJ31KsHc+dCz54+Pa/Yz53PbxUfIiLiHatXw2OPQWqquT1wIEyebDYOkzLPnc9vZT5ERMSa48dhxAhzqXswO5O+8QbcdJOdo5IApsyHiIh47uOPoVmzPwqPJ5+EHTtUeEiJNPMhIkHBiXmCKav2sOVABm0a1OTZHte6dazPX++xY/D00/DOO+Z248Ywfz5cf733z+WCxORUtqUdp1V0Dfq2r2/LGNzlxPektyjzISJlnhM7nLafsIaj2bn527XDKpE8NtalY33+ej/4AIYMgSNHzKXuhw+H8eOhShXvncMNvWd+zda0zPzt1tHhLB/axZaxuMqJ78nSuPP5ra9dRKRMc2KH0ymr9hQoPACOZucyZdWeUo/16es9cgTuuQfuvtv876ZNzQZiU6bYVngkJqcWKDwAtqZlkpicast4XOHE96S3qfgQkTLNid0ztxwo+kOouP0X8snrNQxYvNgsNv79byhfHp5/3lwUrkMHz5/XC7alHXdrfyBw4nvS21R8iEiZ5sTumW0aFP39f3H7L+T113voEPTqBQ88YOY8WrWC5GT4+98hNNSz5/SiVtE13NofCJz4nvQ2FR8i4hiJyak8t3S7W1PqTuye+WyPa6kdVqnAvjphlVwKnXrt9RoGLFxoznb85z9QsaKZ60hOhpgY957Lh/q2r0/r6PAC+2Kiw/0WOg2W96S3KXAqIo5gNVToxDsLbLvbJTUVHn8cVq0yt9u1MwuR5s3dex4/suNul2B8T5ZEHU5FpExJTE5l1Ac7Cu1PuKuFY26rdITz581W6CNHQna2+bXK+PHm3SwV1JnhQnpPFqa7XUSkTHFiqNBx9u2Dm2+GwYPNwqNzZ9i2zSxEVHgUovekNSo+RCTgOTFU6BjnzsH06dCiBaxda94yO20afPklXHON3aMLWHpPWqPiQ0QCnt2hQitSUjNYuuWgRz0cfH7s3r1www0wbBicPAndupmt0Z9+2ryd1gNTVu3hvrkbXOpJEig8uc5Ofk8GAmU+RMQxnNZC20oXS58ee/YsTJ0KL74IOTlQrZrZKOzxx82OpR6y0pXVLlY7jTrtPelLCpyKiNgsJTWDO2etL7R/2ZDOpd7Z4NNjd+6EAQPMW2YBuneHefOgvrUPzimr9jBz7Y+F9g/9cyO379TxFyvXWQpT4FRExGZWulj64tifDh83G4O1aWMWHuHh5kq0n35qufAAa11Z7aJOo/ZRhFlExAesdLH09rHNfvmRHgNGw+6d5o477oA5cyAqqtTnc1WbBjXZsO+3IvcHKnUatY9mPkREfMBKF0tvHVvp7BlGfPkv/vPWcKru3gm1asE778CHH5ZYeHgSwLTSldUu6jRqH818iIj4iTsBu9E9m9CjWaTHHTBbH9rL5BXTufrY/9p+33MPvPYaRESUeJyVAOZdbeoVOLZPm3pujdkOVq+zeEaBUxERH7ArzLj1+0P8v4ee5NHk5ZQ3znO0ag1e6D6YgdOftTfoKmWeAqciIjazJcz49dc0iu3CwG+XUt44z7Km3Yh9dBafXnOdbUFXhTelKPraRUTEB/waZvz9d3juOZgxgzDDIL1aLcb2GMrnV3Vw67x2hWQl+GjmQ0T8xkrHTqvH+/tYb4QZXTrv55+brdFfew0MAx55hHcXrChQePg76OrusXms/I08Wdreblb/9+BkmvkQEb+w2kkyYLuFlmDjvmMFtjdctG3pvJmZ5qJvc+ea2/XrwxtvQGwsOSu/A37Nf6i/gq5WjrVynS9c2n7xt2m8+22qW0vb28Hq/x6cTjMfIuJzKakZBf6PFmBO0j6X/8Vn5Xi7jk1MTs3/QMyzNS3TpX+Zl3relSuhefM/Co8hQ8zOpbGxlq81mLMYfdrU8ygo6smxdl1nu3jjb+R0Kj5ExOeshhEDrVuoK8daWXK9uOc/+ONB6N8fbr0VDh6ERo1g3TqYORPCwiyP2S52XWe7OPFv5G2Wio/4+HhCQkIYNmxY/j7DMIiLiyMqKooqVarQrVs3du3aZXWcIuJgVsOIgdQt1NVjrSy5XtTzd/9+A7f0jYVFiyAkBIYPh+3boWtXr43ZLnZdZ7s48W/kbR4XH8nJycydO5eWLVsW2D958mSmTp3KjBkzSE5OJjIyktjYWLKzsy0PVkT+4KSwmtUwYiB0C3X3WCtLrl943lonM3n1o8nMXTaBikd/gWuvhW++gZdfhqpVvTrmPE4K5zpxaXu7/0aBwKPA6e+//84DDzzAvHnz+Mc//pG/3zAMpk2bxtixY+nTpw8AixYtIiIigsWLFzNw4EDvjFokyJWFsJq73Q2thDe92cXSnXEvH9rF4yXXR99yLX33b6Du8yOpnHEMypc3A6YvvgiVK5d8rE3BTyvHWhmzletsF7v+RoHCow6n/fr1o1atWrzyyit069aN1q1bM23aNPbt20ejRo3YsmULMTEx+Y/v1asXNWrUYNGiRYWeKycnh5ycnPztrKwsoqOj1eFUpBhO7CRpdcyJyamM+mBHof0Jd7Xw6QeNbdc6Pd0MkS5bZm63aAELF0Lbtr47J+pw6gSBfJ192uH0vffeY8uWLcTHxxf6XXp6OgARF60dEBERkf+7i8XHxxMeHp7/Ex0d7e6QRIKKE8NqVsdsV6jQ79faMOCtt6BpU7PwqFABxo2DTZt8XniAOpw6QVm5zm4VH2lpaTz99NO8/fbbVC5h2i8kJKTAtmEYhfblGTNmDJmZmfk/aWlp7gxJJOg4Maxmdcx2hQr9eq0PHoTbb4d+/SAjwyw2Nm+GuDioVKnUw71BHU4DX1m5zm4VH5s3b+bIkSO0bduWChUqUKFCBZKSknj11VepUKFC/ozHxbMcR44cKTQbkic0NJTq1asX+BGR4jlxGXCrY7YrVOiXYKBhwLx50KwZrFhhFhrx8bBxI1wU6HeHv4OfTnxfOlFZuc5uZT6ys7M5cOBAgX0PP/ww1157LaNGjaJZs2ZERUXxzDPPMHLkSAByc3OpU6cOCQkJLgVOtaqtiGtSUjMctwy4lTHbGbLzdNyljnn/fnjsMbNFOkDHjrBgATSx9rqsXisrfycnvi+dKBCvszuf3x4FTi90YeAUICEhgfj4eBYuXEjjxo2ZOHEi69atY+/evYT9rwmOtwYvIsEhkEN2xSlxzPXCYdYsGD0aTpyAKlVgwgR46inzrhZfnTdAr5WUDe58fnt9bZeRI0dy6tQphgwZQkZGBh06dGD16tUuFR4iIkUpKWQXqB+oxY35yJad8OBY+Oorc8cNN8D8+XDVVT49byBfKwk+louPdevWFdgOCQkhLi6OuLg4q08tIgI4M2R38djKnT/HgE0fEjttMeSchksugcmTYdAgKOe9lS6ceK0k+GhtFxEJeHaH7Kas2sN9czcwZdUel4+5cMxX/ZrKB2+P5Pm1CyiXcxpiY82F4IYMKbHw8GSZeCd3z3R6105xneXMh7cp8yEixbEjZNd+whqOZufmb9cOq0Ty2FjXDj5zhkNjxxMxbTLlz+RC9eowdSoMGGCuz1KCC5eJB2gdHe7WMvE+C8n6SFno2hnsfNpkTETELlaWevfElFV7ChQeAEezc12bAdm2DTp2JGrKP8zC47bbYPdueOSRUgsPbywT7++l7a3QEvPBR8WHiEgxthwo+sOvuP0A5OaaXUnbtYMtW6BmTfjXv+A//4HLL3fpvEHT0dXm84p9VHyIiBSjTYOiZw2K25/fBn38eDh7Fvr0MWc7Hnyw1NmOCwVFR9cAOK/YR8WHiLjFqaFAT8b9bI9rqR1WsLV5nbBKPNvj2oIPPH3a7NnRoYMZJK1dG5YsgX//GyIj3R6rkzu6Oum8Yh+v9/kQkbLLqaFAK+NOHhvLlFV72HIggzYNahYuPNavNwOke/ea2/fdB6++CpddZmnMHa+8tEDuo8OVl1p6PldZWerdiecVe+huFxFxiVM7Z/ps3CdPwtixMH26uT5L3bowezb06mVhtCanXmsJbrrbRUS8zqmhQJ+Me906c9G3adPMwuPhh2HXLq8UHiWNLdCvtYirVHyIiEucGgr06rizs2HoUPjzn+HHHyE6GlauNBeDq+m9GQmnXmsRV6n4EBGXODUU6LVxr14NzZubC8IBDBxohktvuaXEw+zqUmqFU0PF4hwKnIqIxwIqMFYCS2HG48dhxAhzdgOgYUN44w248cZSD72wS+nib9N499tUl7uU2hXAdGqoWJxFMx8i4hKnd6H0qDvqxx9Ds2Zm4RESYi55v327S4WHXV1KrXD631icQ8WHiLgkqEKQx46ZjcHuuAMOHYKrr4YvvzTvbKlWzaWnsKtLqRVB9TcWW6n4EBGXBE0I8oMPoGlTeOcdc8XZZ5+FrVuhi+uLuoF9XUqtCJq/sdhOxYeIuCQQlmofsWQrN7+8jhFLtrp9bKnn/uUXuOceuPtuOHLE/LplwwaYPBmqVHH7fHZ1KbXC7qCrBA81GRMRt9i1VHuTF1Zy6sz5/O0qFcvx3d97Wj+3YcC775p5jmPHoHx5GDMGnn8eQkNdHl9xEpNT2ZZ2nFbRNQK68LiQp39jCW7ufH6r+BARn7PasXPEkq18sOXnQvvvanM5L9/b2vNzlz8JgwebK84CtG5thktjYkodk4gUpA6nIhJQrAYZrYQ3izyHYXB+/nzzq5X//AcqVoS//x2+/VaFh4gfqM+HiEPZNTXuyXmtBhlbRdfgv0cLFxGuhDcvPsflmUeI//Q12v6UYu5o3x4WLjQLkWLY9dWJvv6Qskpfu4g4kF2NoKyc9+JjB3e9klF+zHy8vu6/PLD1U0avW0i13FNmnuPvf4dnnoEKxf877MJGYQCto8NdbhRmhZp9idMo8yFShtm14qk3zmv1X/IjlmzNn4EoLetRwI8/kv1gf8I2fm1uX3cdzJ8P11xT4mGJyamM+mBHof0Jd7Xw6QyIVrUVJ3Ln81tfu4g4TEn5CV9+MHnjvDH1a1oao1sFB8C5c/Daa/Dcc4SdOgVVq0J8PDzxhNnDoxQlZU18WXzY9TcW8RcFTkUcxq5GUI5rQLVnD9xwg/m1yqlT5kq0O3aYt9S6UHiAfY3CHHetRdyk4kPEYexqBBUITcZcWiH27FlISDBvm12/HsLCYM4cEuMX8NzW391aW8WuRmF2N/vSqrbia/raRaQM8Fdwa+O+YwW2N1y0XRKrAUqXVojdsQMefhg2bza3e/SAuXPp/Z9Uti7bVfKxxVg+tIstd7toVVspyzTzIeIwdq08amWVVqtjLvXcubkwfjy0bWsWHjVqwJtvwsqVJP6C5dVl+7avz8Q+Lf3eoVSr2kpZpeJDxGHsWnnU642+Stjv1rm3bDF7dYwbB2fOwP/9H+zaBf36QUiII1eXtYtWtRV/UfEh4jB2hRGthC+90WTsYqFnc3nwP3PhT3+C7dvh0kth8WJYvhyiokodXyCvLmsXBV3FX1R8iDiMXcFPK+FLq2O++NwxP+/hs3eeoembM83bae+9F3bvhvvug5AQr43byTz5G9sddJXgoSZjIg5l1+qyVsKXVpqMtZ+whuzfshj+1Ts8sulDyhvnISICZs2CPn18Om6nsfo3Vlt38YQ6nIpIkZzaOXPKqj18+9aHTF45nYYZhwH4oNmfOTRuAk/e08nm0QUWp/6Nxfm0qq2IFMmRgcLff6flpBd4f/FoGmYc5nC1S3n47nGMuH0E63UTRiGO/BtL0FGfD5Eg4rhA4WefwWOP0eOnnwB4t2V34v88gKzK1QBo00D/kr+Y4/7GEpQ08yHiUE4MFLo85sxMePxxiI2Fn36CBg0Y2j+eMT2fyi886oRV4tke13r/3F4+1t/s/huLuEIzHyIO5M0ulP4Kfbk85hUrzMLj55/N7aFDIT6emWFhXLFqD1sOZNCmQU23Cg8r16ssdPwMqGCfCJr5EHEcK10o7epg6dJ5f/vNbAx2221m4dGoESQlwYwZ5voswLM9ruXdxzu5PePhtOtlhRPHLMFHxYeIw1gJFNoVRiz1vMuWQdOm8NZbZp+O4cPNxmE33OD7c/voWLs4ccwSfNwqPmbPnk3Lli2pXr061atXp1OnTqxcuTL/94ZhEBcXR1RUFFWqVKFbt27s2rXL64MWCWZWAoV2hRGLe/7GIaegb1+zT8cvv8C115or0b78MlSt6tNzB/L1ssKJY5bg41bxUa9ePSZNmsSmTZvYtGkTN954I7169covMCZPnszUqVOZMWMGycnJREZGEhsbS3Z2tk8GLxKMrAQK7QojFjqvYfAqe2jRvTMsWQLly8OYMZCSAh07+vbcBP71ssKJY5bgY7nJWK1atZgyZQoDBgwgKiqKYcOGMWrUKABycnKIiIggISGBgQMHuvR8ajIm4horXSjt6mCZkprB4e/20Xnqi9RYvcLc2bIlLFhgrkjr43Pb0RHWLupSKv7mlw6n586d4/3336dfv36kpKRQuXJlGjVqxJYtW4iJicl/XK9evahRowaLFi0q8nlycnLIyckpMPjo6GgVHyJljWGYmY5hw+D4cahQAZ5/3pzxqFTJ7tEVSd1CRVzn0w6nO3bsoFq1aoSGhjJo0CCWLVtG06ZNSU9PByAiIqLA4yMiIvJ/V5T4+HjCw8Pzf6Kjo90dkogEurQ08y6W/v3NwqNtW9i8GcaNC9jCAxTeFPEVt4uPa665hq1bt7Jx40YGDx5Mv3792L17d/7vQy5aUdIwjEL7LjRmzBgyMzPzf9LS0twdkogEKsOAuXOhWTNYuRJCQyE+HjZuNL9uCXAKb4r4httNxipVqsRVV10FQLt27UhOTmb69On5OY/09HTq1q2b//gjR44Umg25UGhoKKGhoe4OQyTo2ZnbcOm8+/fDo4/CF1+Y2x07mtmOJvbkJTy5XnnhzQszH+6GN52YvXDimMVZLHc4NQyDnJwcGjZsSGRkJGvWrMnPfOTm5pKUlERCQoLlgYrIH+wKQbp03vPnYeZMGD0aTp6EKlVgwgR46inzrhYbWLleo3s2oUezyKAJqzpxzOI8bn3t8txzz/HVV1/x008/sWPHDsaOHcu6det44IEHCAkJYdiwYUycOJFly5axc+dO+vfvT9WqVbn//vt9NX6RoBPQXUq//x66djULjZMnzSZh27fDM8/YVnh443rF1K9Jnzb13J7xcFqnUSeOWZzJrZmPX375hYceeojDhw8THh5Oy5Yt+fTTT4mNjQVg5MiRnDp1iiFDhpCRkUGHDh1YvXo1Yf9rjSwi1pUUgvTlFHmJ5728OrzyCrzwApw+DZdcApMnw6BBUM7eRsoBeb0C9KsMJ45ZnMmt4mP+/Pkl/j4kJIS4uDji4uKsjElEShBoXUqb/JYGne+Cb781d8TGmiHTK67w6XhcFWjXK5DDqk4csziT1nYRcZhA6VJa4dxZFqWvoclt3czCo3p1eOMNWLXKZ4WHJ0vbB8r18td5rXDimMWZLHc49TZ1OBVxjZ13u/z2zbd0mjCSqru2mztvvRVefx3q1fPZea0GIQP+7qAA4sQxi/380uHUV1R8iASw3FzzzpWJE+HsWahZE159FR54wFyN1kfUaVQk8Pm0w6mIBKnkZLMz6fjxZuHRpw/s3g0PPujTwgPUaVSkrFHxISIlO3XK7NnRsSPs3Am1a5sr0f773xAZ6ZchKAgpUrao+BBxqMTkVJ5bup3E5FTfnWT9eoiJgYQEs3nYffexY9U3LG3UiZS0474770UUhBQpWyx3OBUR/+s982u2pmUCsPjbNN79NpXlQ7t47wQnTsDYsWaewzCgbl2YPZtJla5mTuL3+Q+zs/tlQIXVRMQtmvkQcZjE5NT8wiPP1rRM782ArF1rLvo2fbpZePTvD7t2kRJzg23dL9V5U6RsUfEh4jDbivm6o7j9LsvOhsGD4cYbYd8+iI42V6JduBBq1rQ19KnAqUjZouJDxGFaRddwa79LVq2C5s1hzhxze+BAM1x6yy35D7Ez9KnAqUjZouJDxEaedOzs274+raPDC+yLiQ6nb/v6Lj9HXlh16ec7YMAAs8hITYWGDeHzz80i5KL79O0MfSpwKlK2qMmYiE2sduxMTE5lW9pxWkXXcKvwyAur3vTf/8fEVTOJ+P03s0/Hk0+azcMuKXk2wc7ul+q8KRK41OFUJMDZ1bEzMTmVSf/6mnGfz6X37iQAfqx1OT9Nms5Nj93ls/OKSNmnDqciAc6uAOW5Je+zev5Qeu9O4lxIOeb8qQ+39n+Vzy9t7NPziohcSH0+RGzg9wDlL7/A0KHc/8EHAOy9rD4jez7NtqhrAIthVRERN2nmQ8SigF7m3TDgnXegaVP44AMoX54lt/Tjjn7T8wsPd8OqnrxeEZELaeZDxAIrodHRPZvQo1mk7wKUP/8MgwbBxx+b261bw4IF3BsTg+FhWNVqSFZEBBQ4FfFYwC7zbhhmY7DhwyEzEypWhHHjYORI8789FLCvV0QCggKnIn4QkF03DxyAHj3gkUfMwqN9e0hJMddpsVB4QIC+XhFxJBUfIh4KqK6b58/D7Nlml9I1a6ByZZgyxVyVtlkzr5wioF6viDiaMh9SZvi7AVVeaPTCDIS7odEpq/aw5UAGbRrU5Nke17p1/rwmY9dxnNtefRGSzL4dXHcdLFgAV19d6rHuZD688XpFRECZDykj7ApCtp+whqPZufnbtcMqkTw21ufH9p75NdsP/MbDm//D3778F1XO5kDVqjBpEgwdCuWKn9TM63Cap3V0OMuHdnHpvKAuoyJSNGU+JKjYtdz6lFV7ChQPAEezc5myao9Pj01MTiV7606WLB7NC1+8QZWzOXzToCUfv7PKbJFeQuGRmJxaoPAA2JqWSWJyaqnnzRNTvyZ92tRT4SEiHlPxIY5nVxByy4Gii5vi9nvl2LNnCX91KisWPkW7n78ju1IVnusxlAf6TmD9+dJnCrelHXdrv4iIL6j4EMezKwjZpkHR//Ivbr/lY3fsgI4dueXt6YSeO8O6hm3p8chMFrfuCSEhLnUpLe4x6nAqIv6k4kO8zt8dMO1abv3ZHtdSO6xSgX11wiq5FBx169jcXBg/Htq2hc2boUYNpj/4HP3vieNQ9TqA611K+7avT+vo8AL73O1wKiJile52Ea+yK/jp826hxbirTb0Cr7dPm3rePXbzZhgwALZvN7d79YLZs3l7wU64IDNy8Pgpl8/b8cpLC+Q+Olx5qcvHioh4g2Y+xGvsCn7m8XcQ0srrLfXY06fhueegQwez8Lj0Unj3XVi2jCnbMz0Oq9r9NxIRARUf4kXB1gHTyust8diNG6FNG4iPh3PnoG9f2L0b/vIXCAmxFHQNtr+RiAQmFR/iNcHWAdPK6y3qMZXPnOa6OZPMJmHffQcREbB0Kbz3HtSpk/84K0HXYPsbiUhgUvEhXmNX8DOPlaDrlFV7uG/uBpe+ushj5fVefOyf0nay/r3hRMybabZK/+tfzdmOO+8sdKyVoKvdfyMREVCHU/EBOzpgWgm6Wuk0CtZe77bv0qj20os0SnzT3HH55TB3Ltx6a4nHqUupiAQadz6/VXyI41lZ6n3Kqj3MXPtjof1D/9zI7bVW3PbZZ/Doo+ZKtACPPWYuBhceXuJhicmpjPpgR6H9CXe10C2zImIbtVeXoGIlRGklvOmxzEyz0IiNNQuPBg3MlWjnzi218AB1KRUR51PxIY5nJURpJbzpkRUrzCXu33jD3H7iCdi5E26+2eWnUJdSEXE6FR/ieFZClFbCm3lcCqv+9hv06we33QY//wxXXQVffgmvvQbVqrl8LlCXUhFxPnU4lTLJnSBT8thYpqzaw5YDGbRpUNOtwuPCsOqGfb+xZFNa4bDqsmUweDD88ou54uwzz5jt0qtWdWOUBS0f2oXE5FS2pR2nVXQNFR4i4igKnIrjWQmcWlFqWPXoUfNrlSVLzF80aQILFkDHjj4bk4iIXXwWOI2Pj6d9+/aEhYVRp04devfuzd69ews8xjAM4uLiiIqKokqVKnTr1o1du3a5/ypEXGRX185iw6o//WY2Bmva1Cw8ypc3W6Vv2aLCQ0QEN4uPpKQkhg4dysaNG1mzZg1nz56le/funDjxx//JT548malTpzJjxgySk5OJjIwkNjaW7Oxsrw9eBOzr2llUKLX2778x/q0X4b774NdfoWVL+PZbmDABKlf26XhERJzC0tcuR48epU6dOiQlJXHDDTdgGAZRUVEMGzaMUaNGAZCTk0NERAQJCQkMHDiw1OfU1y7iiYubjA3ueiWj/LCabn7mwzC4a+cXjPtiHtVP/w4VK8Lzz8Po0VCpUrHHW2n2ZVejMDUoE5GiuPP5bSlwmplpdlisVasWAPv37yc9PZ3u3bvnPyY0NJSuXbuyfv16l4oPEU+M7tmEHs0i/f6hmDw2ljlvr6VDwlhidm4wd7ZtCwsXQosWJR5rpSurlWOtsOu8IlK2eHyrrWEYDB8+nC5dutC8eXMA0tPTAYiIiCjw2IiIiPzfXSwnJ4esrKwCPyKeiKlfkz5t6vnvX+OGAXPnMmhIL7PwCA2FSZPMVWlLKTysLG1v5Vgr7DqviJQ9HhcfTzzxBNu3b+fdd98t9LuQkJAC24ZhFNqXJz4+nvDw8Pyf6OhoT4ck4j/795uNwQYOhOxs6NQJtm6FUaOgQukTilZCsnYFbO06r4iUPR4VH08++SQfffQRa9eupV69evn7IyMjAQrNchw5cqTQbEieMWPGkJmZmf+TlpbmyZBE/OP8ebMxWPPm8MUXUKUKvPIKfPUVXOt6fxArIVm7ArZ2nVdEyh63ig/DMHjiiSdYunQpX3zxBQ0bNizw+4YNGxIZGcmaNWvy9+Xm5pKUlETnzp2LfM7Q0FCqV69e4EfEEympGSzdctCjrwESk1N5bul2EpNTi3/Q999D167w1FNw8qT539u3w7Bh5u20brDSldXKsVbYdV4RKXvcCpwOHTqUxYsX8+GHHxIWFpY/wxEeHk6VKlUICQlh2LBhTJw4kcaNG9O4cWMmTpxI1apVuf/++33yAkTAWhDywuXpF3+bxrvfphZcnv7cOXN244UX4PRpsx365MnmVy7lPF+hwEpIduO+YwW2N1y07St2BXtFpGxx61bb4nIbCxcupH///oA5O/LSSy/x+uuvk5GRQYcOHZg5c2Z+KLU0utVW3GWlw2mpy9Pv3g0PP2z26gDo3t1cfbZBA6+M3ROljllExAY+63BqGEaRP3mFB5gFSlxcHIcPH+b06dMkJSW5XHiIeMJKELK4Zeh37D9qNgaLiTELj/BwmD8fPv3U1sIDih9zcftFRAKNVrUVx7MShCxqGfqmv+xjxIv9zCZhublw++2waxcMGADFzP75U1FjLmm/iEigUfEhAcWl4OdFrAQhL1yevuK5Mzzz1dt89NYz1Ny7C2rVgrffho8+gssvL/Y5rARdPTn2wjHniYkO99tXLlZer4gIWOxwKuJNpQY/3eDOmgHLh3ZhzaL/0OLFZ4lM/a+58667YOZMKOYW8Tx2dSldPrQLicmpbEs7TqvoGn4rPNThVES8QTMfEhASk1PzC488W9MyXZoBsdR589QpGDWK2AG9zcKjdm14/334979LLTzs7lLat319JvZp6dcZD3U4FRFvUPEhAcFKiNLjwOk335iB0smTzeZh999v3t1y992lntPSeS0eaxcnjllEApOKDwkIVkKUbgdOT5wwG4Ndfz3s3Qt16/LjG++wdEQCKSddbxbmxC6lVjhxzCISmFR8SECwEqJ0K3C6di20bAnTp5sLwz38MK9MX8ZNP4QzfMk27py1nkkrv3NpzDH1axYac+vo8IDuUmqFE8csIoHJrSZj/qAmY8HNSogyJTWj+M6bWVnmom9z5pjb0dEwbx4pTf7kcYMyK83NXBpzgHLimEXE99z5/NbdLhJQ+rav73GAMqZ+zaI/DD/9FB5/HPIWLRw8GCZNgurV2b/lYJHPtf/XE6V+sJaUgXD1Q7nYMQcwJ45ZRAKLig8puzIyYPhwePNNc/vKK+GNN+DPf85/SLDlNkREAoEyH1Ikn68Q6wNTVu3hvrkbmLJqj9kYrFkzs/AICTEDptu3Fyg8wJmry+ZRsy8RcSplPqQQb60QC2YA09NGYe5oP2ENR7NzqXkyk7jP5tLruyTzF1dfDQsWwHXXlXi8lRyDHRkINfsSkUDjs4XlpOyz0kjKSqMwK6as2sPRrBxu3fM1a+YPodd3SZwLKcf/u/dR2Lq11MIDzFmMPm3qeVQ8WDnWE2r2JSJOp+JDCvDFCrG+Xm31x+3/ZfbyeGZ9OInLTmay57IG3PnQP5l20wCoUsWn57aDmn2JiNMpcCoFWF0hdvG3aUXu9wnDgHfe4ZW/P0GV7EzOlCvPrI73MLNTX3IrVGRog7J5R4aCriLidJr5kAK8tUJs/vO5udqqy2HVgwfhjjvgoYeokp3JnrpX0euvr/DK9Q+SW6EidcIq8WyPa10+r5PYHXQVEbFKMx9SyOieTejRLNKjEGXHKy8tkPvocOWlLh/r0qq2hmEGSIcPNxuHVaoE48bxUYvb2f3NH7MufdrUc/m8TmTlbyQiYjfNfEiRPAlR+jys+tNP0L07PPqoWXj86U+wZQspDw5m1jcFv+4JhgCmv4OuIiLeouJDvMZnYdXz52HmTGjeHD77DCpXhn/+E9avh2bNFMAUEXEYFR/iNVbDqkW5juNmY7AnnjBXo73+erNZ2IgRUL685fOKiIj/qfgQr/FmWLXc+XO8+MOn3PbgLfDll3DJJfDaa7BuHTRu7LXz2i3YupQG2+sVkaIpcCpe5Y2waqNf05iychptDu01f3HjjeaaLA0buvxcAdW2txjB1qU02F6viBRPMx/idZ6GVeet/YEhG5aw4s2naHNoL9mVqpA66RUz51FC4eHEjp9OHLMVwfZ6RaRkKj4kIBzbsInlbw1n5JdvEXruDGuvbEv3R2axKfZuc2G4EjgxcOrEMVsRbK9XREqmr13EXrm5MHEiN02YQMjZs2SGXsL4mx7ng+Y3QkhImV3a3oljtiLYXq+IlEwzH2WYlXCfy51GrRy7eTO0awcvvUTI2bN83+kmbn50Nh+0uAlCQhyztL0nnDhmK4Lt9YpIyUIMwwiobJ47S/JK8ayE+y7sNArQOjq8cKdRK8eePg3jx8PkyXDuHFx2GcyYAffeS0racUctbW+VE8dsRbC9XpFg4s7nt4qPMiglNYM7Z60vtH/ZkM6l/h9+YnIqoz7YUWh/wl0tSl2jxaVjN2yAAQNgzx5zu29f8xba2rVLfG4REQls7nx+62uXMshnnUatHHvypLkey3XXmYVHRAQsXQrvvafCQ0QkyKj4KIN80Wm0uP2uPObmo3ugZUt45RVzYbi//hV274Y77yz1OUVEpOxR8VEGebPTKEBMdHipX7kUdewlOSeZtWEBNw7qCz/+CJdfDp98AosWQa1aLr4a16l7poiIM+hW2zJq475jBbY3XLTtDndCQcuHdiExOZUTH6+k71v/4JLDB81fPPYYTJkC4eElP4GH1D1TRMQ5NPNRBrm0PL0PjgUgM5O+c//OgPGDzMLjiitgzRqYO9dnhYe6Z4qIOIuKjzLIZ6HR0nzyCTRrZq7DAuZKtDt2wM03l36sBeqeKSLiLCo+yiBfhEZLPPa33+Chh+D22+Hnn+GqqyApybyFtlq1Us9plbpniog4i4qPMsibodFSj126FJo2hbffhnLlYMQI2LYNbrjBo7F7Ehq1u3umgq4iIu5R4LSMygt+bks7TqvoGi4VHnnylrbP0+HKSws/6MgRePJJWLLE3G7SBBYsgI4dPR6zldDo6J5N6NEs0u/dMxV0FRFxnzqcSgGldkc1DLMx2JNPwrFjUL48jBoFL7wAlSv77rwByIljFhHxFXU4FY+VGN48fNhsDHb//Wbh0bIlfPstTJhgqfAo9bwByoljFhEJBG4XH19++SV33HEHUVFRhISEsHz58gK/NwyDuLg4oqKiqFKlCt26dWPXrl3eGq/4WJEhTcOg7doPzWzHhx9CxYrw0kuQnAxt2vjuvCXsDwROHLOISCBwu/g4ceIErVq1YsaMGUX+fvLkyUydOpUZM2aQnJxMZGQksbGxZGdnWx5sMPLL0vYXuDi8GZV1hC8+T6DB356A48ehXTvYvBlefBEqVXJ7TK6eF9wPjfo7+Gl30FVExKncDpz27NmTnj17Fvk7wzCYNm0aY8eOpU+fPgAsWrSIiIgIFi9ezMCBA62NNshcuDz94m/TePfbVI+Wtnf3WAAMg/u3fcqYtQsIyz0FoaHmbMeIEVDBPzlld8JIdgU/7Qq6iog4mVczH/v37yc9PZ3u3bvn7wsNDaVr166sX184mAeQk5NDVlZWgR+xr0tpSmoGn3y4nncSxzJx1UzCck+xOepadq9IMoOlPio8rHQptbvDaUz9mvRpU0+Fh4iIi7xafKSnpwMQERFRYH9ERET+7y4WHx9PeHh4/k90dLQ3h+RYtnQpPX+ecq+9xqoFQ7nuwHZOVQhl/I2Pcc8DCeypcXmp57XCSnhTwU8REWfxyd0uISEhBbYNwyi0L8+YMWPIzMzM/0lLS/PFkBzH711Kv/8ebriBVv8cR9UzOWyMbk6PATNY0L4X58uV93mI0kp4U8FPERFn8WrxERkZCVBoluPIkSOFZkPyhIaGUr169QI/4scupWfPmqvNtmoF33wD1aqxauiL3HffRFJr1gX8E/y0Et60O/ipDqciIu7x6hf4DRs2JDIykjVr1hATEwNAbm4uSUlJJCQkePNUQcGlTqNWjt21Cx5+2LxlFqB7d5g7lx4NGrA0NcOjEKU3g5/uBE7V4VRExDncnvn4/fff2bp1K1u3bgXMkOnWrVtJTU0lJCSEYcOGMXHiRJYtW8bOnTvp378/VatW5f777/f22Ms0nwYwz5yBf/wDYmLMwiM8HObPh08/hQYNAM9ClHaHRv0d/LQ76Coi4lRuz3xs2rSJP//5z/nbw4cPB6Bfv368+eabjBw5klOnTjFkyBAyMjLo0KEDq1evJiwszHujDgIlhShL+3At8dhjP8GAAfC/4pHbb4c5c+By64FSn405QO8iceKYRUQCgdvFR7du3ShpOZiQkBDi4uKIi4uzMq6g5+0AZqWzZ+j85jSYPd3MedSqBa++arZKLyYM7K5gC406ccwiIoFAa7sEKG8GMFsd2ss3/36WyNdeNguPu+6C3bvhgQe8Vnh4e8zuHOsN/g7JiogEM/+0qhSPWAlRbtx3jNAzOTzz9Ts8lryc8sZ5qFMHZs6Eu+/24agLcic0unHfsQLbGy7a9hUroVF1OBURcZ+KjwAXU7+m2x9oicmplN+wgRUrp9Pot58BWNa0G0x7hTtjW3t/kP9TXACzR7PIUl9DSV1ZXbm92FNWxpzHk7+RiEgw09cuZc2JE0THjeH9d0bR6Lef+aVaLR7t8wLP3PE3krN9++e20mnUSkdXK9QdVUTE/1R8lCVffAEtWtB5xWLKYZDYIpbYR2bxWeMOgGvdUa2wEsC00tHVCoVGRUT8T8WHH/i8A2ZWFgwaBDfdBPv3Q/36xA19mVG3Pk1W5WqA691R8yQmp/Lc0u0uLUaXx0oA00pHVysUGhUR8b8Qo6T7Zm2QlZVFeHg4mZmZZaLVus87YH76KTz2GBw8aG4PHgwJCfR+a1uBDEXr6HCWD+3i0lP2nvm1x8eCWWx5GsBMTE5lW9pxWkXX8HnhcSErYxYREfc+v1V8+FBKagZ3zlpfaP+yIZ2tf8BlZMDw4fDmm+b2lVeaXUq7dSMxOZVRH+wodEjCXS1K/UC3cqyIiAQvdz6/9bWLD/kszPjhh9C0qVl4hITAsGGwfTt06wZYC2/aFfwUEZHgoeLDh7weZvz1V7jvPujdG9LT4Zpr4Ouv4ZVX4JI/ntNKeNOu4KeIiAQPFR8+5I0w45RVe7jv9fV8NPYVc7bjvfegXDkYPdpcn6Vz50LHWAlv2hX8FBGR4KEmY37mTsCm/YQ1cPgXxq+ZTc/v/5cdadECFiyAdu1KPLbjlZcWCI12uPJSl8+7fGgX24KfIiJS9ilw6kNWAqdTPv2OQzPeYNznc6lx+nfOlCvPzE73cm70aEbc3tJn5xUREfGEO5/fmvnwIY+XXD94kJtGPkqbHWYBsSOiESNvfZrv6lxJp0Olh1W11LuIiAQyFR8+5Hbg1DDMr1SGD6dNVhY55Ssw/br7eb3DXZwrVx6ANg1KLx7UtVNERAKZAqc+5Fbg9KefoHt3ePRRs2Npx448OHQOszrdm1941AmrxLM9rvXueUVERPxMMx9+Vihgc/48zJ4No0bBiRNQuTJMmABPP03b1d+TfEF31D5t6rl8Hi31LiIigUozHz5U3HLt+Wu8/Pe/8Oc/wxNPmIXHDTeYzcKGDyfl56ySj3VBTP2a9GlTT4WHiIgEFBUfPlRs8POXLLMxWMuW8OWXZoOwGTNg7Vpo3LjkY7XUu4iIOJy+dvGhogKejX5No8fAOEjZZO64+WaYNw+uuKLUY0vaLyIi4hSa+fChC4Of5c+fY8iGJaxa9BSXpGyC6tXNomP16kKFx8XH5nE3NJqSmsHSLQfd+qpGRETE1zTz4WMfbDnINUd/YsqKabRM/6+589ZbYc4ciI5267nc6QY3aeV3BTIjg7peyeieTdw6n4iIiC9o5sOHXv54O/evfJP/vDmMlun/5Xjlajxz23CmPPnPUguPUsOqPjpWRETE1zTz4SubN3PPoL7U//lHAFY17sjz3YdwtFotOqUeL/VwK11K1eFUREQCmYoPbzt9GsaPh8mTqX/uHMeqVOfF2MF8cm0XCAkBfN+lVGFVEREJZPraxUUjlmzl5pfXMWLJ1uIftGEDxMRAfDycOwd/+Qt/GfYGnzS5Pr/w8EeXUnU4FRGRQKaZDxc0eWElp86cB+C/R0+wYsdhvvt7zz8ecPIkPP88TJtmrs8SGWl2Le3dm0tmfg0XLG0fVaOKy+e10qVUHU5FRCRQaeajFCOWbM0vPPKcOnP+jxmQpCSzWdgrr5iFR79+sGsX9O5NYnIqWy8oPAC2pmWSmJzq8vmtdClVh1MREQlEKj5KsS3teJH7v//hEAwdCt26wY8/Qr16sGIFvPkm1KpV4rHF7RcREQkGKj5K0Sq6RqF9XfansGj6ozBrlrnj8cdh507o2bPUY0vaLyIiEgxUfJTi5XtbU6WieZnCck4Qv/JV3l7yArWOHjY7k372Gbz+OoSHFzq2b/v6tI4uuD8mOpy+7eu7fH4rXUrV4VRERAKRAqcuqFa5Ah33fMPET2dQ9/dj5s4nn4SJE6FatRKP7XjlpQVyHx2uvNTl81rpUqoOpyIiEqg081GK1/69kTHvxrPw3y9R9/dj7KsZxT33T2LKbUNKLTzs6lKqDqciIhLINPNRkqVLeeiRx6iR9RvnQsrxRvveTO3yADkVQ6lwoPQPcru6lKrDqYiIBDIVH0U5cgSeeALef58awPeX1mfkrU+zNeqa/IcEcpdSdTgVEZFApq9dLmQY8O670LQpvP8+lC8PY8fS/8lZBQqPQO9Sqg6nIiISyDTzkefQIRg8GD76yNxu1QoWLoSYGOrM/JpDHnYp3bjvWIHtDRdtl0QdTkVEpCzSzIdhmI3BmjUzC4+KFc2F4ZKTISbGUpdSdTgVEREpzGfFx6xZs2jYsCGVK1embdu2fPXVV746ledSU83GYA8/DMePQ7t2sGULvPCCWYRgrUupOpyKiIgU5pPiIzExkWHDhjF27FhSUlK4/vrr6dmzJ6mprv+L3xdajvuUK0Z/QqsXV8CcOeZsx6pVEBoKCQnmqrTNmxc4xkqXUnU4FRERKcwnxcfUqVN55JFHePTRR2nSpAnTpk0jOjqa2bNn++J0Lrli9Cdk5Zwj+ng6sxeNMfMdv/8OnTvDtm0wciRUKByBsdKl1BsdTkVERMoarwdOc3Nz2bx5M6NHjy6wv3v37qxfv77Q43NycsjJycnfzsrK8vaQaDnuU8qdP0e/LR/z7JdvUfVMDqcqhPLqTf0Z9clM866WEiwf2oXE5FS2pR2nVXQNt4oHK8eKiIiURV4vPn799VfOnTtHREREgf0RERGkp6cXenx8fDwvvfSSt4dRQFbOOZod/YkXPn+DchhsqN+CUbc8RWrNuowqpfDI07d9fY8LByvHioiIlDU+u9U2JCSkwLZhGIX2AYwZM4bhw4fnb2dlZREdHe3VsVQPLc+uiEbM7HQv6WGXsrj1LRgh5age6lrhISIiIt7j9eLjsssuo3z58oVmOY4cOVJoNgQgNDSU0NBQbw+jgO0v3cIVoz/h5RseKrRfRERE/MvrgdNKlSrRtm1b1qxZU2D/mjVr6Ny5s7dP57KfJt2WP9NRPbQ8P026zbaxiIiIBDOffO0yfPhwHnroIdq1a0enTp2YO3cuqampDBo0yBenc5lmOkREROznk+Kjb9++HDt2jPHjx3P48GGaN2/OihUraNCggS9OJyIiIg4SYhiGYfcgLpSVlUV4eDiZmZlUr17d7uGIiIiIC9z5/NbaLiIiIuJXKj5ERETEr1R8iIiIiF+p+BARERG/UvEhIiIifqXiQ0RERPxKxYeIiIj4lYoPERER8SsVHyIiIuJXPmmvbkVew9WsrCybRyIiIiKuyvvcdqVxesAVH9nZ2QBER0fbPBIRERFxV3Z2NuHh4SU+JuDWdjl//jyHDh0iLCyMkJAQrz53VlYW0dHRpKWlad2YUuhauU7XynW6Vu7R9XKdrpXrfHWtDMMgOzubqKgoypUrOdURcDMf5cqVo169ej49R/Xq1fXmdJGulet0rVyna+UeXS/X6Vq5zhfXqrQZjzwKnIqIiIhfqfgQERERvwqq4iM0NJRx48YRGhpq91ACnq6V63StXKdr5R5dL9fpWrkuEK5VwAVORUREpGwLqpkPERERsZ+KDxEREfErFR8iIiLiVyo+RERExK+CpviYNWsWDRs2pHLlyrRt25avvvrK7iEFpLi4OEJCQgr8REZG2j2sgPDll19yxx13EBUVRUhICMuXLy/we8MwiIuLIyoqiipVqtCtWzd27dplz2BtVtq16t+/f6H3WceOHe0ZrM3i4+Np3749YWFh1KlTh969e7N3794Cj9F7y+TKtdJ7yzR79mxatmyZ30isU6dOrFy5Mv/3dr+ngqL4SExMZNiwYYwdO5aUlBSuv/56evbsSWpqqt1DC0jNmjXj8OHD+T87duywe0gB4cSJE7Rq1YoZM2YU+fvJkyczdepUZsyYQXJyMpGRkcTGxuavVxRMSrtWALfcckuB99mKFSv8OMLAkZSUxNChQ9m4cSNr1qzh7NmzdO/enRMnTuQ/Ru8tkyvXCvTeAqhXrx6TJk1i06ZNbNq0iRtvvJFevXrlFxi2v6eMIPCnP/3JGDRoUIF91157rTF69GibRhS4xo0bZ7Rq1cruYQQ8wFi2bFn+9vnz543IyEhj0qRJ+ftOnz5thIeHG3PmzLFhhIHj4mtlGIbRr18/o1evXraMJ9AdOXLEAIykpCTDMPTeKsnF18ow9N4qSc2aNY033ngjIN5TZX7mIzc3l82bN9O9e/cC+7t378769ettGlVg++GHH4iKiqJhw4b85S9/Yd++fXYPKeDt37+f9PT0Au+z0NBQunbtqvdZMdatW0edOnW4+uqreeyxxzhy5IjdQwoImZmZANSqVQvQe6skF1+rPHpvFXTu3Dnee+89Tpw4QadOnQLiPVXmi49ff/2Vc+fOERERUWB/REQE6enpNo0qcHXo0IG33nqLVatWMW/ePNLT0+ncuTPHjh2ze2gBLe+9pPeZa3r27Mk777zDF198wcsvv0xycjI33ngjOTk5dg/NVoZhMHz4cLp06ULz5s0BvbeKU9S1Ar23LrRjxw6qVatGaGgogwYNYtmyZTRt2jQg3lMBt6qtr4SEhBTYNgyj0D4x/4ebp0WLFnTq1IlGjRqxaNEihg8fbuPInEHvM9f07ds3/7+bN29Ou3btaNCgAZ988gl9+vSxcWT2euKJJ9i+fTtff/11od/pvVVQcddK760/XHPNNWzdupXjx4/zwQcf0K9fP5KSkvJ/b+d7qszPfFx22WWUL1++UDV35MiRQlWfFHbJJZfQokULfvjhB7uHEtDy7gjS+8wzdevWpUGDBkH9PnvyySf56KOPWLt2LfXq1cvfr/dWYcVdq6IE83urUqVKXHXVVbRr1474+HhatWrF9OnTA+I9VeaLj0qVKtG2bVvWrFlTYP+aNWvo3LmzTaNyjpycHL777jvq1q1r91ACWsOGDYmMjCzwPsvNzSUpKUnvMxccO3aMtLS0oHyfGYbBE088wdKlS/niiy9o2LBhgd/rvfWH0q5VUYL5vXUxwzDIyckJjPeUX2KtNnvvvfeMihUrGvPnzzd2795tDBs2zLjkkkuMn376ye6hBZwRI0YY69atM/bt22ds3LjRuP32242wsDBdK8MwsrOzjZSUFCMlJcUAjKlTpxopKSnGgQMHDMMwjEmTJhnh4eHG0qVLjR07dhj33XefUbduXSMrK8vmkftfSdcqOzvbGDFihLF+/Xpj//79xtq1a41OnToZl19+eVBeq8GDBxvh4eHGunXrjMOHD+f/nDx5Mv8xem+ZSrtWem/9YcyYMcaXX35p7N+/39i+fbvx3HPPGeXKlTNWr15tGIb976mgKD4MwzBmzpxpNGjQwKhUqZLRpk2bArdmyR/69u1r1K1b16hYsaIRFRVl9OnTx9i1a5fdwwoIa9euNYBCP/369TMMw7wlcty4cUZkZKQRGhpq3HDDDcaOHTvsHbRNSrpWJ0+eNLp3727Url3bqFixolG/fn2jX79+Rmpqqt3DtkVR1wkwFi5cmP8YvbdMpV0rvbf+MGDAgPzPvNq1axs33XRTfuFhGPa/p0IMwzD8M8ciIiIiEgSZDxEREQksKj5ERETEr1R8iIiIiF+p+BARERG/UvEhIiIifqXiQ0RERPxKxYeIiIj4lYoPERER8SsVHyIiIuJXKj5ERETEr1R8iIiIiF+p+BARERG/+v9z3c8mOcQigwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# creating toy data\n", + "\n", + "a = 2\n", + "lam = 3 # lambda of poisson\n", + "b = 0\n", + "n = 300\n", + "\n", + "x = np.random.randint(0, 30, size=(n))\n", + "\n", + "# I think it has to be done this way. (I'm not very sure)\n", + "# by following the assumption of GLM, y given some x follows the poisson dist\n", + "\n", + "# hence we should do something like this\n", + "y = np.random.poisson(lam=a*x + b, size=(n))\n", + "\n", + "plt.scatter(x, y, s=10)\n", + "\n", + "x_plot = np.arange(0, 31)\n", + "plt.plot(x_plot, a*x_plot + b , c='r')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "as mentioned on [wikipedia](https://en.wikipedia.org/wiki/Poisson_regression#:~:text=Poisson%20regression%20assumes%20the%20response,used%20to%20model%20contingency%20tables.)\n", + "solving exact theta isn't possible as equation has no closed form solution \\\n", + "hence we need to perform convex optimisation\n", + "\n", + "the negative log likelihood (NLL) \n", + "$J(\\theta)=-\\sum_{i=1}^{m}(-e^{\\theta^Tx^i}+\\theta^Tx^iy^i + f(y))$\n", + "\n", + "common update rule for GLMs\n", + "$$\\theta:=\\theta-\\alpha \\sum_{i=1}^{m}(h_{\\theta}(x^{(i)})-y^{(i)})x^{(i)}$$\n", + "so\n", + "$$\\theta:=\\theta-\\alpha \\sum_{i=1}^{m}(e^{\\theta^T x^{(i)}}-y^{(i)})x^{(i)}$$\n", + "\n", + "in matrix form\n", + "$$\\theta:=\\theta-\\alpha (X^Texp(X\\theta)-X^T y)$$" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0., 0.])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X = np.column_stack([x, np.ones(x.shape)])\n", + "theta_initial = np.zeros(2)\n", + "theta_initial" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def batch_GD(X, y, theta_initial, learning_rate, epochs):\n", + " theta = theta_initial.copy()\n", + "\n", + " history_theta = np.zeros((epochs+1, theta.shape[0]))\n", + " for epoch in range(epochs):\n", + " history_theta[epoch] = theta\n", + "\n", + " grad = X.T.dot(np.exp(X.dot(theta))) - X.T.dot(y)\n", + " theta -= learning_rate * grad\n", + "\n", + " history_theta[epochs] = theta\n", + "\n", + " return theta, history_theta\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "theta, history_theta = batch_GD(X, y, theta_initial, learning_rate=1e-7, epochs=100000)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n", + "\n", + "for i in range(2):\n", + " axes[i].plot(history_theta[:, i])" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.510411637285407" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_pred = np.exp(X.dot(theta))\n", + "\n", + "def rmse(y, X, theta):\n", + " y_pred = np.exp(X.dot(theta))\n", + " return np.sqrt(np.square(y - y_pred).sum() / y.shape[0])\n", + "\n", + "rmse(y, X, theta)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'RMSE')" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([rmse(y, X, theta_epoch) for theta_epoch in history_theta])\n", + "plt.xlabel('epoch')\n", + "plt.ylabel('RMSE')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(x, y, s=10)\n", + "\n", + "x_plot = np.arange(0, 31)\n", + "plt.plot(x_plot, a*x_plot + b , c='y', label='actual')\n", + "\n", + "y_pred_plot = np.exp(np.column_stack([x_plot, np.ones(x_plot.shape)]).dot(theta))\n", + "\n", + "plt.scatter(x_plot, y_pred_plot, c='r', s=10, label='predicted')\n", + "plt.fill_between(x_plot, y_pred_plot - 2*np.sqrt(y_pred_plot), y_pred_plot + 2*np.sqrt(y_pred_plot), alpha=0.1, label='0.95 confidence')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import PoissonRegressor\n", + "\n", + "regr = PoissonRegressor().fit(x.reshape(-1,1), y)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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g29OD29g958NR57U1We0ihBBCWODVkZ0Y0Tm4fiqcGuFU9TJMJMGHEEIIYaHYiIB6DTpqSzgd0TnYpe5+yLSLEEII4SIk4VTUG5VKxRdffAHAyZMnUalU1RrI1ba/OYYMGcLUqVMtGqMQQgj7u1ESThvutItGAzt26NoPh4TomvE4aYW43NxcAgJMv51Wdf+TJ08SFRVFamoqPXr0sNMIhRDCseqtu6yDVSacVp16kYRTV7F+PTz/vGFt/LAwWLYMxoxx3LhqERwcbNf961N5eTkeHh5O91r1+dqWunLlCu7u7o4ehhBOZ8F3hwy+jCcNbsOrIzs5cEQmsOE/gF0x4bThTbusXw9/+5th4AFw+rRu+/r1djv1f//7X7p27YqXlxfNmzfntttu4+JF3TzdP//5Tzp37oynpychISE888wz+uOMTaNotVqeeOIJ2rdvz6lTp6rtHxUVBUBsbCwqlYohQ4aYPN7y8nJeeeUVWrVqRdOmTenbty/btm3TP3/u3DnGjRtHWFgYTZo0oWvXrvpuu5WGDBnCM888w7Rp02jRogXDhg1j27ZtqFQqfvjhB3r16kWTJk3o378/R44cMTqeiRMnMnr0aObPn09oaCjt27cH4PTp04wdO5aAgACaN2/O3XffzcmTJ/XHVVRU8Nxzz+Hv70/z5s2ZPn06EyZMYPTo0UbHCZCens6oUaPw9vYmKCiIhx56iIKCAv1xxn6n27Zto0+fPjRt2hR/f38GDBig/x0BvPvuu7Rt2xYPDw86dOjAv/71L4P3q1KpeO+997j77rtp2rRptY7FQgjXq/iZkABJ49KhdWsYOhTGj9f9t3Vrksal19kYztXeb20aVvCh0ejueNTUyLdy29Spuv1sLDc3l3HjxvHoo49y6NAhtm3bxpgxY1AUhXfffZcpU6bw5JNPcuDAAb788kvatWtX52uWl5dz//33s2fPHnbu3ElkZGS1fZKTkwH4/vvvyc3NZb0ZwdUjjzzCrl27WLNmDfv37+e+++7j9ttv59ixY4Cuo+pNN93E119/ze+//86TTz7JQw89xK+//mrwOp988gmNGjVi165dvP/++/rtM2fOZPHixezZs4dGjRrx6KOP1jmmH374gUOHDrFlyxa+/vprLl26xNChQ/H29uann35i586deHt7c/vtt1NeXg7AwoUL+fe//83KlSvZtWsXxcXFNQZz148zNzeXwYMH06NHD/bs2cPGjRv5448/uP/++wHjv9OKigpGjx7N4MGD2b9/Pz///DNPPvkkKpUKgA0bNvD888/z4osv8vvvv/PUU0/xyCOPsHXrVoMxzZ49m7vvvpsDBw6YdH2EaGhcLQFTfSSd+DUxJOVMNNielPMI8WtiUB9JN3q8q73fWilOpqioSAGUoqKias9dvnxZSU9PVy5fvmzZi2/dqii6MMP4z9atVr2Hmuzdu1cBlJMnT1Z7LjQ0VJk5c2atxwLKhg0bFEVRlMzMTAVQduzYodx2223KgAEDlPPnz9e5f2pqap1jHDx4sPL8888riqIoGRkZikqlUk6fPm2wz6233qrMmDGj1tcYNWqU8uKLLxq8Zo8ePQz22bp1qwIo33//vX7bN998owBGf7cTJkxQgoKClLKyMv22jz/+WOnQoYOi1Wr128rKyhQvLy9l06ZNiqIoSlBQkLJo0SL98xUVFUpERIRy9913Gx1nXFycMnz4cINt2dnZCqAcOXLE6O/03LlzCqBs27atxvfSv39/5YknnjDYdt999ymjRo3SPwaUqVOn1nY5FEWxwd8JIZzIvlN/Kp/vzVb2nfrTrGMip39d7cec16g3FRWKEhamJDJLAUVJZJaiQJXHcYoSHq7brxbO/H6NfX9fr2Hd+cjNte1+ZujevTu33norXbt25b777uPDDz+ksLCQ/Px8zpw5w6233mrW640bN44LFy6wefNm/Pz86j6gih07duDt7a3/+fe//11tn3379qEoCu3btzfYd/v27Rw/fhwAjUbD66+/Trdu3WjevDne3t5s3ryZrKwsg9fq1atXjePo1q2b/s8hISEA5Ofnk5WVZXDOefPm6ffr2rWrQS7G3r17ycjIwMfHR79/s2bNKC0t5fjx4xQVFfHHH3/Qp08f/TFqtZqbbrqp2niuH+fevXvZunWrwVg6duwIwPHjx2v9nQI0a9aMiRMnMmLECO68806WLVtGbpXP1aFDhxgwYIDB+QYMGMChQ4dMunZC3GgWfHeIe1bsZtq637hnxW4WfHeo7oNwsYqfO3ZATg5xzCWROOJJwpNS4kkikTjiSILsbN1+tXCp92tEw0o4vfoFZ7P9zKBWq9myZQu7d+9m8+bNvP3228ycOZMffvjBotcbNWoUn376Kb/88gt/+ctfzDq2V69eBkt1g4KCqu2j1WpRq9Xs3bsX9XVJUN7e3gAsXryYf/zjHyxdupSuXbvStGlTpk6dqp/uqNS0ac1LwKomT1ZOR2i1WsLCwgzG16xZs1pfS6vVctNNN9UYQLVs2bLa61dSaph6q+m177zzThYuXFht35CQkFp/p7/++itRUVGsXLmS5557jo0bN7J27VpmzZrFli1buPnmm2sd0/Xbart2QtxIrC2c5SyVRutU5R8gccxlLrMoxxMPyohjbo371cRl3q8RDSv4GDRIt6rl9Oma8z5UKt3zgwbZ5fQqlYoBAwYwYMAA4uPjiYyMZMuWLbRu3ZoffviBoUOHmvxaTz/9NF26dOGuu+7im2++YfDgwTXuV3mXQFMlj8XLy6vOnJLY2Fg0Gg35+fkMquV67Nixg7vvvpu///3vgO7L+tixY3TqZF2WeaNGjUzKeQHo2bMna9euJTAwEF9f3xr3CQoKIjk5Wf8+NBqNSUuPe/bsyeeff07r1q1p1Kjmvyo1/U43bNjAtGnTAN11jI2NZcaMGfTr14/Vq1dz880306lTJ3bu3MnDDz+sf63du3dbfe2EcEXG8hhM/WKt70qjFqnyD9ukKoFHOZ4kMetaAGLCP4Bd4v0a0bCmXdRq3XJa0AUaVVU+XrrULvU+fv31V+bNm8eePXvIyspi/fr1nD17lk6dOpGQkMDixYt56623OHbsGPv27ePtt9+u8zWfffZZ5s6dy1//+ld27txZ4z6BgYF4eXnpkyWLiopMGm/79u158MEHefjhh1m/fj2ZmZmkpKSwcOFCvv32WwDatWun/5f/oUOHeOqpp8jLyzP9otjAgw8+SIsWLbj77rvZsWMHmZmZbN++neeff56cqyuann32WebPn8///vc/jhw5wvPPP09hYWG1uwzXmzJlCn/++Sfjxo0jOTmZEydOsHnzZh599FE0Go3R32lmZiYzZszg559/5tSpU2zevJmjR4/qg4uXX36ZVatW8d5773Hs2DGWLFnC+vXreemll+x+zYRwNjdK4aw6Xf0HcOWUSyJxlNHY4DHh4Xb7B7AzaVh3PkBXx+O//625zsfSpXar8+Hr68tPP/3E0qVLKS4uJjIyksWLFzNy5EhAt3LkH//4By+99BItWrTgb3/7m0mvO3XqVLRaLaNGjWLjxo3079/f4PlGjRrx1ltvkZiYSHx8PIMGDTJYLmvMypUrmTt3Li+++CKnT5+mefPm9OvXj1GjRgEQFxdHZmYmI0aMoEmTJjz55JOMHj3a5ADHFpo0acJPP/3E9OnTGTNmDCUlJbRq1Ypbb71Vfydk+vTp5OXl8fDDD6NWq3nyyScZMWJEtemk64WGhrJr1y6mT5/OiBEjKCsrIzIykttvvx03Nzejv9M//viDw4cP88knn3Du3Dn98umnnnoKgNGjR7Ns2TIWLVrEc889p5+mMWcptBA3ihulcFad1GqSBm5i9poY5hCvv9MRx1wUVMwmEdWAB4hz0oKXtqRSapr8dqDi4mL8/PwoKiqqdhu9tLSUzMxMoqKiaNy4sXUncqEKp8K2tFotnTp14v777ycpKcnRw7GKTf9OCOFgDaFKaUKCbrlt3M4Rhv8ADg8nacBGNB1i6qz14ayMfX9fr+Hd+aikVoP8K7NBqJz2GDx4MGVlZSxfvpzMzEzGjx/v6KEJIapw9TwGU+gCixjQnKz2D+CGcMejUsMNPkSD4ebmxqpVq3jppZdQFIUuXbrw/fffS3KnEMJxGvg/gCX4EDe88PBwdu3a5ehhCCGclKOmexrCNFNtJPgQQgjRYDmqKZ1LNsOzoYa11FYIIYS4ylFN2m6U5nDWkOBDCCFEg+SoJm03THM4K0jwIYQQokFyVHGzBlNUzQgJPoQQQjRItmjSlppVyPp9OWZNmTjqvM5EEk6FEEI0WNY0abMmadRR53UWEnwIIYRo0CwpbmZtJ15HntcZmD3tcvr0af7+97/TvHlzmjRpQo8ePdi7d6/+eUVRSEhIIDQ0FC8vL4YMGcLBgwdtOmghhBDCkSRZ1TpmBR+FhYUMGDAAd3d3vvvuO9LT01m8eDH+/v76fd544w2WLFnC8uXLSUlJITg4mGHDhlFSUmLrsVskIQFqa+eRlITL1tSviUajQavV2uW1r1y5YpfXtUZ5ebmjhyCEcBBrciAsOTaqRVPctBpuztrPXenbuTlrP25ajVlJo5ae15ztTksxw/Tp05WBAwfW+rxWq1WCg4OVBQsW6LeVlpYqfn5+ynvvvWfSOYqKihRAKSoqqvbc5cuXlfT0dOXy5cvmDNtAYqKigO6/pmy3lcGDByvPPPOM8vzzzyv+/v5KYGCg8v777ysXLlxQJk6cqHh7eytt2rRRvv32W0Wr1Spt27ZVFi1aZPAaBw4cUFQqlZKRkVHjOVauXKn4+fkpX331ldKpUydFrVYrJ06cUMrKypSXX35ZCQ0NVZo0aaL06dNH2bp1q8GxH3zwgRIWFqZ4eXkpo0ePVhYvXqz4+fnpn589e7bSvXt35eOPP1aioqIUlUqlaLVa5fz588oTTzyhtGzZUvHx8VGGDh2qpKWl6Y9LS0tThgwZonh7eys+Pj5Kz549lZSUFEVRFOXkyZPKX//6V8Xf319p0qSJEhMTo3zzzTf6Y7dt26b07t1b8fDwUIKDg5Xp06crV65cMbimU6ZMUV544QWlefPmyi233GLpr8dl2eLvhBCubv636Urk9K/1P/O/TbfrsbNnK0riAweVohZBui+Oqz9FLYKUxAcOKrNn1++YF5hxrKLovquvXCkx6xhTGPv+vp5Zdz6+/PJLevXqxX333UdgYCCxsbF8+OGH+uczMzPJy8tj+PDh+m2enp4MHjyY3bt31/iaZWVlFBcXG/zYU1wcJCZCfPy1OyBJSbrHiYm65+3lk08+oUWLFiQnJ/Pss8/y9NNPc99999G/f3/27dvHiBEjeOihh7h8+TKPPvooK1euNDj+n//8J4MGDaJt27a1nuPSpUvMnz+fjz76iIMHDxIYGMgjjzzCrl27WLNmDfv37+e+++7j9ttv59ixYwDs2rWLSZMm8fzzz5OWlsawYcN4/fXXq712RkYG69at4/PPPyctLQ2AO+64g7y8PL799lv27t1Lz549ufXWW/nzzz8BePDBBwkLCyMlJYW9e/fy6quv4u7uDsCUKVMoKyvjp59+4sCBAyxcuBBvb29AN703atQoevfuzW+//ca7777Lxx9/zNy5c6td00aNGrFr1y7ef/99y34xQgiXZU3BLkuPVR9JJ35NDMsKnjDYvqzgSeLXxKA+km63MYMuWXXD5P4sub87Gyb3Z7oZyaYXLx7mt9+GkZ4+FsWRTe3NiWo8PT0VT09PZcaMGcq+ffuU9957T2ncuLHyySefKIqiKLt27VIA5fTp0wbHPfHEE8rw4cNrfM3Zs2crQLUfe935qFR5p8PDw753PCoNHjzY4K5RRUWF0rRpU+Whhx7Sb8vNzVUA5eeff1bOnDmjqNVq5ddff1UURVHKy8uVli1bKqtWrar1HCtXrlQAgzsPGRkZikqlqvY7ufXWW5UZM2YoiqIoY8eOVe644w6D5x988MFqdz7c3d2V/Px8/bYffvhB8fX1VUpLSw2Obdu2rfL+++8riqIoPj4+tY65a9euSkJCQo3Pvfbaa0qHDh0UrVar3/bOO+8o3t7eikajURRFd0179OhR4/ENhdz5EA3d53uzDe4CVP58vjfbPsdWVChKWJiSyCzddwezFAWqPI5TlPBw3X52GLOlKiouKMePv6ps2+aubN2Ksn17Y+XixaM2PYfd7nxotVp69uzJvHnziI2N5amnnuKJJ57g3XffNdhPpVJdH+BU21ZpxowZFBUV6X+ys7PNGZLF4uLAwwPKy3X/tecdj0rdunXT/1mtVtO8eXO6du2q3xYUFARAfn4+ISEh3HHHHfzzn/8E4Ouvv6a0tJT77rsPgM6dO+Pt7Y23tzcjR47Uv4aHh4fBefbt24eiKLRv316/v7e3N9u3b+f48eMAHDlyhD59+hiM9frHAJGRkbRs2VL/eO/evVy4cIHmzZsbvHZmZqb+tadNm8bjjz/ObbfdxoIFC/TbAZ577jnmzp3LgAEDmD17Nvv379c/d+jQIfr162fwuRkwYAAXLlwgJydHv61Xr161X3AhxA3PmhwIi47dsQNycohjLonEEU8SnpQSTxKJxBFHEmRn6/azw5jNpSgKZ8+uJzm5E1lZC1CUKzRrdge9ex+kSZNom5/PVGYFHyEhIcTExBhs69SpE1lZWQAEBwcDkJeXZ7BPfn6+/ov1ep6envj6+hr81IekpGuBR3l57UmotlQ53VBJpVIZbKv8oq1MEn388cdZs2YNly9fZuXKlYwdO5YmTZoA8O2335KWlkZaWhofffSR/jW8vLwMvrC1Wi1qtZq9e/fq909LS+PQoUMsW7YMqDk4VGq4Hde0qeFfDK1WS0hIiMHrpqWlceTIEV5++WUAEhISOHjwIHfccQc//vgjMTExbNiwQf/+Tpw4wUMPPcSBAwfo1asXb7/9dp1jqrr9+jEJIRoWawp2WXRsbq7+j3HMxYMyyvHEgzLimFvjfrYccyVTklUvXTrG/v0jOXjwXsrKsvH0jKRLl//RrdvXeHm1qfW4+mBWnY8BAwZw5MgRg21Hjx4lMjISgKioKIKDg9myZQuxsbGAbgXC9u3bWbhwoY2GbL3rczwqH0P93AEx1ahRo2jatCnvvvsu3333HT/99JP+ucprXpfY2Fg0Gg35+fkMGjSoxn06duxIcnKywbY9e/bU+do9e/YkLy+PRo0a0bp161r3a9++Pe3bt+eFF15g3LhxrFy5knvuuQfQtbufNGkSkyZNYsaMGXz44Yc8++yzxMTE8PnnnxsEIbt378bHx4dWrVqZ9N6FEA2DNQW7zD42JET/xyRm6QOPcjxJYta1AKTKfrYec11FxjSaS2RlzScr6w0UpRyVyoOIiFeIiJiBWt3E5PPYk1nBxwsvvED//v2ZN28e999/P8nJyXzwwQd88MEHgO5fpFOnTmXevHlER0cTHR3NvHnzaNKkCePHj7fLGzBXTcmllf91tgBErVYzceJEZsyYQbt27ejXr5/Zr9G+fXsefPBBHn74YRYvXkxsbCwFBQX8+OOPdO3alVGjRvHss89yyy23sGTJEu68805+/PFHvvvuu1qnyirddttt9OvXj9GjR7Nw4UI6dOjAmTNn+Pbbbxk9ejSdO3fm5Zdf5m9/+xtRUVHk5OSQkpLCvffeC8DUqVMZOXIk7du3p7CwkB9//JFOnXR/gSZPnszSpUt59tlneeaZZzhy5AizZ89m2rRpuLlJVwAhhCFLCnZZdOygQRAWRmLOI8wm8epUy1ySmEU8SSioiA9fpdvPDmOuq8hYQcFXZGQ8R2npSQACAkYQHf22Q6dYamJW8NG7d282bNjAjBkzSExMJCoqiqVLl/Lggw/q93nllVe4fPkykydPprCwkL59+7J582Z8fHxsPnhLaDQ1r2qpfKzR1P+YjHnssceYN28ejz76qMWvsXLlSubOncuLL77I6dOnad68Of369WPUqFGA7o7We++9x5w5c5g1axYjRozghRdeYPny5UZfV6VS8e233zJz5kweffRRzp49S3BwMLfccgtBQUGo1WrOnTvHww8/zB9//EGLFi0YM2YMc+bMAXR1SKZMmUJOTg6+vr7cfvvt/OMf/wCgVatWfPvtt7z88st0796dZs2a8dhjjzFr1iyLr4MQQlhNrSZp4CZmr4lhztXAA3RTMAowmyRUAx4gTq22y+lrKyZ2Kv8QjYrmc+7c1wB4eobRrt1SWrQYU+c/JB1BpdQ0ue9AxcXF+Pn5UVRUVC3/o7S0lMzMTKKiomjcuLGDRli/du3axZAhQ8jJyak1b8YennjiCQ4fPswOI0lTwvEa4t8JIWwtNavQrOmPhATI2Z1C4i+jCC0p0G8/49OC+Ju/Jax/b7sVrEzNKuSeFddKV7i7lTMy6nPGtP8clFJUqkaEhb1I69ZxqNX1mxNn7Pv7etLbxUmVlZWRnZ1NXFwc999/v90DjzfffJNhw4bRtGlTvvvuOz755BNWrFhh13MKIYSjWdKkTRdY9GbM2//F4+fdBF4oJN87gCv9+vP5s73tOt7YiABa+nhwtqScri328PdO7xPUNBcU8Pf/C9HRy2na1PmbzEnw4aQ+++wzHnvsMXr06MG//vUvu58vOTmZN954g5KSEtq0acNbb73F448/bvfzCiGEo1jbpG39s4NZe3MUv2WfZ0C4P2N7R9hrqHprU7LQXMnhmR4f0iv4ZwAKS5uh8ktkcPfJTjnFUhMJPpzUxIkTmThxYr2db926dfV2LiGEcAbGmrSZmgg6tndEvQQdAFptOcVnFzN/0Pt4qsvQaN3YfOpu/pcxjjE3dWC0iwQeIMGHEEKIBsqVmrT9+ef3HDv2DNFNdOUuDv/ZhX+lT+L0hdYAdA/3d9zgLCDBhxBCiAapsthX1akXc4t9WcOURNfS0hyOH3+Rs2d1d6fd3YP4KvMJ1vzeF9Dd6YgN96u3uy+24pLBh5Mt0BHCYeTvghC2VV9/o+pKdNVqr5CTs4yTJxPQai8CbrRq9QytW89hUdrvQFG9j9mWXKpaU2Up8kuXLjl4JEI4h8q/C9eX7hdC1M3a7rL2Om9h4Tb27OnBiRMvo9VexNe3HzfdtJfo6GWsTysmLbvI4Ni07CLWpmTZdcy25lJ3PtRqNf7+/uTn5wPQpEkTl8nsFcKWFEXh0qVL5Ofn4+/vj9pOBY2EuJHZIuHUluc9mX8Czwv/ID//3wC4u7egTZuFBAdPRKXS3Sv4Lft8jcf+ln3epaZeXCr4gGvN6yoDECEaMn9/f/3fCSFcnbnFvqpam5LFb9nn6W7GkteoFk1x02rok3NQX6sjOayzWQmnloz5+td3U2m4NeJrAi6uIf9CCaAiNPQpoqJex929mcG+3cP9WZ1cvfu7JJzamUqlIiQkhMDAQK5cueLo4QjhMO7u7nLHQ9wwLCn2VWn0Ozv1UxGrk7P5LDmLL6YMNHpMQgKoj+SSvPFxWpw/q99e4N+Sd7O38b8OAXVWKbV0zLERAfQI9yMtu4h2/uk8HLOCCN+ToICPT2+io1fg69urxmPH9o7gs+Qsg6kXSTitR2q1Wv7HK4QQNwBrin2tTcmqNQfC2Bey+kg68WtiUHiK+MpOtMCK808xe00MiQ+kAzF2GXNqViHH/zjF411XMrDVDwBcKPemZWgiPTs/h0pl/LvtiykDLbrT40xcNvgQQghxY7Am98KiHAiNhridI1CYqGsEB/rOtLNJYg7xxO1aBZpMqOUfuZaOWVE0nDmzggWD5tPUXfca27OH85+jE0i855Y6A49K9VnczB4k+BBCCOFQ1hT7sigHYscOyMkhnrmogHiSmMssyvEksbJTbfbV/YYMsdmYi4t/5ejRyTQt3QfucLKoLf9Kf5rjRR3rPPZG41JLbYUQQtx4Kot9VWVqsa+xvSPoEe5n+Hp15UDk5ur/GMdcPCijHE88KNMFHjXsZ82Yy8sLOHLkCfbtu5kLF/ahVvuRWT6LOT8v0Qce5hY3S80qZP2+HLsvC7YXufMhhBDC4V4d2YkRnYMtWu1idg5ESIj+j0lX73hUBiBJzLoWgFTZzxTXF/tSFC25uR9x4sQMKir+BCAoaAJt2y5k1w9/onCi1mONsSY511moFCcrkVhcXIyfnx9FRUX4+vo6ejhCCCFuNBoNtG5NUs4jxJOon2pJYhbxJJFIPHHhqyCz9pyP1KxC7lmxu9r2DZP7ExsRQEnJXo4enUxJSTIATZt2JTr6Hfz9B9V5rDHWHGtv5nx/y50PIYQQDYtaTdLATcSvidEFGlfvdOj+qyKeRBjwAHFGVlTWWijsbA5NS2dy5sx7gIJa7UPr1om0avUMbm6NjB5rSoKtowqj2ZoEH0IIIRocTQfdctq4nSsh59r2uPBVMOABNB1qX2YL1ZNDVWgZ0OoHml38lDMl5wAIDBxP27Zv4ukZYvTYurbb6lhnIsGHEEKIBkdXQCyGhV9/R+rqr/QVTmPH30ncX40HHmBYKCzC5wQPxbxLdMAhFC00aRJDdPQ7BAQMqfPYSj3C/Uy6c+HoTry2IsGHEEKIBik1q5B3d56CiG76bb/sPMXwbq1Myr04knuG8R0/5bbIb3BTaSmtaIx/4Ax6dZmBm1vtzR5TswprLIyWmlVoUhBhTXKus5DgQwghRINkeaEwhdNn/sWCQbPx8zwPwK+5g1hz+DHi7r7VaOBhzXmrio0IcMmgo5IEH0IIIRokS/InLlz4nWPHpuBd+hN4Qu7FVnyaPomD52LrPNaa895opMiYEEIIl2dJ0S1zCoVVVJSQkfESe/b0oKjoJ9zcvMi6MpW4ncv1gYepuRfWFFW7UUidDyGEEC7N2qJbqVmFteZPKIrC2bPryMiYRnn5GQBatLiHdu3+QePGkUaPtea8rsic728JPoQQQrgsexbdunjxMMeOPcP587rOs40btyU6+m2aNx9p1eveqKTImBBCiAbBHkW3NJqLnDo1l+zsxSjKFdzcGhMRMYPw8FdQqxtbM1xxlQQfQgghXFZUi6a4aTX0yTmor9WRHNbZouRNRVEoKNhARsZUysp0nXKbNbuD6Oi38PJqU8fRwhwSfAghhJNyxZyA+hxzQgKoj+SS9v2T+Bb8od9e3CKIZdk/8r8OAVeLiRmXmlXIqT9+p4U2gYrLPwLg6RlJdPRbtGhxl30GbyVX/GxUJcGHEEI4IVfsXFrfY1YfSSd+TQzwxLVOtMCygid1fVseSAeMVyt947t95J5exKg2/6XCrQKt4k5U6+lERMxArW5it7FbwxU/G9eTpbZCCOFkUrMKDb5cAN7bfsKsZaT1rd7HrNEQt3MEicQRTxJJzAK42pk2Udcwbtftug62tUg+9BlRyijubrcGd7cKDpztyYwdyzmvnua0gYcrfjZqInc+hBDCybhi59J6H/OOHZCTo7/jEU8Sc5lFOZ4kEqfbnn11vyFDDA69fDmTjIznuXTuK1o2gXOXW/DZ4SfY80d/QCXXuR5I8CGEEE7GFStg1vuYc3P1f4xjrj7w8KDMYAqm6n4aTSnZ2YvIypqHVlsKNOKbE6P53/EHKNdcW8Vizpjru86HK342aiLBhxBCOBlX7FxqTadWi4Rca1OfVCXwKMeTJGZdC0Cu7nfu3EYyMp7l8uUMAPz9/0J09HJ+uQzlRy27ztbkXlh6bL1fZzuR4EMIIZyQq3UutbZTq9kGDYKwMJJyHrma46GbatHlfCQBKuLCV1HaO5KM3++loGA9AB4eobRrt4SWLe9HpVLx6kgsus615V6M6BxsUkdca46t1+tsJ2YlnCYkJKBSqQx+goOD9c8rikJCQgKhoaF4eXkxZMgQDh48aPNBCyFEQxAbEcCYnmEu8aViLBfBLtRqkgZuupZcevVORxxzSSSeeBJ5tccSkvd2uRp4qAkLe5E+fQ4TGDgWlUqlfylLrrM179dRxzoTs+98dO7cme+//17/WK1W6//8xhtvsGTJElatWkX79u2ZO3cuw4YN48iRI/j4+NhmxEIIIZyOI3IRNB10y2njdq6EnGvbZ7Z6j4JOPuQ1u4hWewk/v1uIjn4Hb+8uNju3Ne/XUcc6E7ODj0aNGhnc7aikKApLly5l5syZjBkzBoBPPvmEoKAgVq9ezVNPPWX9aIUQQjglW+SpmJuAqSsgFgOak7BjB1eyDpKj+S+nIrZxj/oV3N2DaNv2XwQFPWhwp+N6izYdZt+pQnpGBvDyiI4mjdWa9+uoY52J2cHHsWPHCA0NxdPTk759+zJv3jzatGlDZmYmeXl5DB8+XL+vp6cngwcPZvfu3RJ8CCHEDe6XE+cMHv983WNjrEne1Kq0nG67l5PqBDSaC4AbrVo9Q1RUIo0a+Rk9tvfrWzhbUn51vH+ybk82KTOHmTzuqszp0mpNTo+r5QPVxKycj759+/J///d/bNq0iQ8//JC8vDz69+/PuXPnyMvLAyAoKMjgmKCgIP1zNSkrK6O4uNjgRwghhGtZm5JVYyLk2pSsOo+1pnDW+fPb2bMnluPHX0KjuYCvb3969dpHdPSyOgOPRZsO6wOPSmdLylm06bBdx1zJmpweV8oHqolZwcfIkSO599576dq1K7fddhvffPMNoJteqXT9rS1FUYze7po/fz5+fn76n/DwcHOGJIQQwgn8ln3erO1VWZJEWVaWR3r630lLG8KlSwdxd29Bhw7/JDZ2B97e3U0ZMvtO1Rwo1Lbd2jGLa6wqr960aVO6du3KsWPH9Hkg19/lyM/Pr3Y3pKoZM2ZQVFSk/8nOzrZmSEIIIayUmlXI+n05Zv0rvnu4v1nbqzIniVKrrSAnZxnJyR3Iz/83oCI09Gn69DlKSMgjqFSmf631jKz5rkFt2y0ds6jOquCjrKyMQ4cOERISQlRUFMHBwWzZskX/fHl5Odu3b6d///61voanpye+vr4GP0IIIRxjwXeHuGfFbqat+417VuxmwXeHTDpubO8IeoQbTnPEhvsxtndEncdWJlFWVVMSZVHRLvbuvYmMjKloNMX4+PSmZ89k2rdfgbu7+dMPL4/oSEsfD4NtgT4eJiWdmjpmUTOVoigm58i89NJL3HnnnURERJCfn8/cuXPZvn07Bw4cIDIykoULFzJ//nxWrlxJdHQ08+bNY9u2bWYttS0uLsbPz4+ioiIJRIQQoh6lZhVyz4rd1bZvmNzf5C/VtSlZ/JZ9nu7h/iYFHnoaDcf++y2Fx08R0DaS6L+NgqulHMrL8zlxYjp5easAaNSoGW3azCck5HGz7nTUxpLVLpVcvbW9LZnz/W3WapecnBzGjRtHQUEBLVu25Oabb+aXX34hMjISgFdeeYXLly8zefJkCgsL6du3L5s3b5YaH0II4QJs0bRsbO8Is4KOhARQH0knbucIonOqFOsICyNxwEbOh15izJjhVFScByAk5HGioubj4dHC5HPUxdyAo6rYiIAGH3RYwqzgY82aNUafV6lUJCQkkKBbfC2EEMKFOCKPQX0knfg1McBEg4ZwiTkTmb22M1OGxlFx13m8vWOJjl6Bn9/NdhuLqD/S20UIIQTggAJWGg1xO0cAE6/2Y0Hfn2U2ScwhjlcOvs65Nm8RGj4ZlUpt/PUcQKZdLCPBhxBCCL16LWC1Ywfk5OjveMSTxNyrHWorG8WRD61OdIUI5ws8rCmM1tBZn6kjhBDihlJvBaxyc/V/jGMuHpRRjicelBlMwVTdz1nYoshYQybBhxBCCIeoaOmt/3PS1TselQFIErOu7RgS4oDRGSdFxqwjwYcQokGwpHBWQ2XNtTLlWEXRkpu7kl89HqG0JSQyi3iSSCSOMhqTSBzxJJFEHISHw6BB1rwdu5AiY9aRnA8hxA1P5uZNZ821MuXYkpI0jh2bQnGxrp7Iqz3eYNmWl5lDvH6qJY65KKiIJxEGPECc2vnyPW6U7rKOIsGHEOKGVtvc/IjOwfJFcR1rrlVdx1ZUFJGZGc/p08sBLW5uTWndejZ+/aYxtXEqj297F0quHfu4z7sUDrkHTYdYW709m7sRuss6igQfQogbmi0KZzUU1lyrWo89e4EQj284fvwlrlz5A4CWLe+jbdslNG4cxpw5sH5fSwau+Zg+OQcJvFBIvncAyWGdefOBlozpad17sjcpMmYZCT6EEDc0mZs3nTXXqqZ9WnmfpOWVeRw+rJti8fJqT3T02zRrNrzasVo3Nb9EdDP7vMI1ScKpEOKGJg3ATGfNtap6bGP1JcZ2+Ji5A55HU7obNzcvoqJep3fv/dUCD2vPK1yTWY3l6oM0lhNC2INUojSdpddKURSSD/2Ti2dn4qboplhatBhNu3ZLadw40m7nFc7BnO9vCT6EEEJY7eLFwxw79gznz/8AQOPGbYmOfovmzUc5eGSivtitq60QQghRlUZzkVOn5pKdvRil4gr+B9xp5XYXzTo/idr/VkcPTzgpCT6EEA2CK97SX7TpMPtOFdIzMsDstu/2fr+KolBQsIGMjKm8//6jeGdNZ0n6m3j8UQp8rvsJCyNp4CY0HWKwd7PztSlZ/JZ9nu7h/oztHWHfk9mIK34mbUWCDyHEDc8Vi4z1fn0LZ0vKAfj5xJ+s25NNysxhJh1r7/d76dIxjh17lsLCTQD4nW7MW1tfJRCIr9KTJSnnEeLXxJD4QDoQY7PzX2/0OztJyy4CYHVyNp8lZ/HFlIF2O58tuOJn0pZktYsQ4obmig3AFm06rA88Kp0tKWfRpsN1HmvP96vRXCYzM56UlC4UFm5CpfIgMuw1lh5eTiJxzCZJ35MliVnEk0gi8cTtuh00GqvPX5O1KVn6wKNSWnYRa1Oy7HI+W3DFz6StSfAhhLihuWIDsH2nav4Sqm17VfZ6vwUFX5GSEsOpU0koSjkBAcPp3fsAUTnDUOWcJo65+p4snpTqe7XEkQTZ2bBjh1Xnr81v2efN2u4MXPEzaWsSfAghbmiuWGSsZ2TN8/+1ba/K1u/38uVMDhy4i99/v4vS0pN4eobRufN/6dZtI02atDdodx/HXH1XWg/K9L1aAIP9bKl7uL9Z252BK34mbU2CDyGEy1ibksVr6/ebdUvdFQtYvTyiIy19PAy2Bfp4mJR0aqv3q9GUcvJkEikpMZw79xUqVSPCw6fTp89hWra8F5VKpduxSrv7JGbpA49yPPVTMNfvZ0tje0fQI9zPYFtsuF+9JZ02lM+krUmdDyGES6iaVAjQI9zPrKRCV1xZ4KjVLufObSQj41kuX84AwN//L0RHL6dp0xoSIjUaaN1al1xK4tWplrlXcz6SdDkf4asgMxPs2J3WEatdGuJn0hgpMiaEuKGsTcli+ucHqm1feG9Xl1lW6QpKS7PIyHiBgoL1AHh4hNKu3RJatrz/2p2OGiSNS9etaiFel+NRuZ04XUDyQDpxn9lvtYsjyGeyOnO+v2XaRQjh9FwxqdCVaLXlnDq1gOTkTlcDDzVhYdPo0+cwgYFjjQYeAJoOuuW0cWErDbbHha8i8YF0NB1urMAD5DNpLanzIYRwet3D/VmdnF3jdmdnza31+ji2sPAHjh6dwuXLRwDw87uF6Oh38PbuYvK5dAXEYkBzkjWL/83Zo5m0bB/FAy8+SJwdp1psxZLr7MqfSWcg0y5CCJdw/fx6bLgfG27gQlL2Pras7DQZGdM4e3YdAO7uQbRt+yZBQQ/WeaejNlULowG09PEwuTCao1hznV3xM2lPkvMhhLghuVIJ7dSsQu5Zsbva9g2T+9f5r2t7HqvVXuH06bc4eTIBjeYC4EarVs/QuvUc3N39jb62MYs2HeadrcerbZ8ytK3ZybL1xZrrXMmVPpP2Jo3lhBA3pLG9I1zmf/DGCknV9cVmr2OjfPdz9OgULl06CICvbz+io1fg49PD6GuawprCaI5izXWu5EqfSWciwYcQQtiBNYWkbH2sn0chQdpppKX9BwB39xa0afMGwcETUKmuW3eg0eiqkebm6mpzDBpk0hLZnpEB/Hzizxq3Oysp9uU4stpFCCHswJpCUrY61k2lYVjk/1g89GmuXPgPoCI09Gn69DlCSMgjBoFHQoJuySytW8PQoTB+vO6/rVuTNC69zq601hRGcxQp9uU4cudDCCHqiTkJdq+O7MSIzsEWr3Zp55/OwzEriPA9CYCPT2+io1fg69urxv3VR3S1OhQmGnSmTcx5hNkmdqa9t2eYQfLmmJ5hZo3ZEay9zsIyEnwIIYQd1Na5dETnYJO/4GIjAsz+MtybeZTyc88x6+bvAbhQ7sN/jk7g+TsT8PVtXvNBGg1xO0egMJHZJKECfZXS2SQyh3jidq0CTe1VSm3xfh3FkussrCPBhxBC2IEtkhnNoSgazpx5n6JTr3FLmG755/bs4fzn6AQuXPHj7nOX6RlZy8E7dkBODvHMRQXEk8Tcq31aKsulk311vyFDan1ftW2XL3ZxPQk+hBD1xtpeFs5esKsqWyQzmnre4uJfOXp0Mhcu7MMNOFnUln+lP83xomv5FkbPe11n2rlVGsSZ2pm2Pt9vTVxxyeuN1tvFHBJ8CCHqhTXFnKw93hHHxkYE0NLHw6DoVqCPh8lfMqac98qVc5w4MYPc3I8ABbXajzZtXmfZF104XnRBv1+PcD/j562jM60+ADHSmbYyebPqmM1J3rRVsa/Vydl8lpxlVoM3R7D274Ork9UuQgi7qy0fIDXLtBoQ1hzvqGPXpmQZBB4A+SXlJrVer+u8iqLlzJkP+fXX9uTmfggoBAVNoG/fo+RrxpOafcHg2LTsIuNjHjQIwsKuNoJLIpE4ymhM4tXHScRBeLhuPyNeHdmJDZP7s+T+7myY3J/pJn6ZWnudq1YZBd37NafFfX2z9u/DjUCCDyGE3RnLB7D38Y461prGY8bOW1Kyl337+nH06JNUVPxJ06bd6NFjB506rcLDI9CyMavVJA3cpOtAS7z+Tkccc0kknngSSRqw0aR6H7ERAYzpGWbWNIKjrrOjWPv34UZgVfAxf/58VCoVU6dO1W9TFIWEhARCQ0Px8vJiyJAhHDx40NpxCiFcmLX5AM5UsMvUY2trMGZK47GaXr9JowsEk8Devb0pKUlGrfahXbul3HTTXvz9Bxo91pQxO7IzraOus6NIcTMrgo+UlBQ++OADunXrZrD9jTfeYMmSJSxfvpyUlBSCg4MZNmwYJSUlVg9WCHFNalYh6/fluMStWmuLOTlDwS5zjx3bO4Ie4X6GrxfuZ1IyZNXzqtAysNX3LLt1MuXFHwMKgYHj6dPnCGFhz+Pm1qjWY80Zc0ICxH0WAydPcmzNlyS//jbH1nwJmZnEfRZTZ5GxSpZ8Lh11nR3FFsXNXOnvf00sSji9cOECDz74IB9++CFz517LhFYUhaVLlzJz5kzGjBkDwCeffEJQUBCrV6/mqaeess2ohWjgboRkNXM7Wv5y4pzB45+ve2yMLQtJmTPuL6YMtHgVxqsjO3FbuwIK817EXZMCQJMmMURHv0NAwJA6j7X0/S7YfJT3Ut2AKEiFSb5H6yWx15oxW3OdHcWq39EN8Pffoq62EyZMoFmzZvzjH/9gyJAh9OjRg6VLl3LixAnatm3Lvn37iI2N1e9/99134+/vzyeffFLttcrKyigrK9M/Li4uJjw8XLraClELW3TirG/WjnltShbTPz9QbfvCe7va9YvGUde6oqKIzMzZnD79NqDFza0prVsnXL3T4W638zqqE68wnTNfZ3O62po97bJmzRr27dvH/Pnzqz2Xl5cHQFBQkMH2oKAg/XPXmz9/Pn5+fvqf8PBwc4ckRIPiislq1o7ZUUmF9X2tFUXhjz/+TXJyR06fXgZoadnyPvr0OUxExEumBx4aDWzbBp99pvuvRmPSYY5KzhWmu1Gus1nTLtnZ2Tz//PNs3ryZxo0b17qfSqUyeKwoSrVtlWbMmMG0adP0jyvvfAghauaKyWrWjrl7uD+rk7Nr3G5P9XmtL148yNGjUygq2g6Al1d7oqOX06zZMJNfIyFB16MlbucIyMm59kRYGEkDN6HpYDx3w1HJucJ0N8p1NuvOx969e8nPz+emm26iUaNGNGrUiO3bt/PWW2/RqFEj/R2P6+9y5OfnV7sbUsnT0xNfX1+DHyFE7VyxE6e1Y3ZUUmF9JAZWVJSQkfESe/b0oKhoO25uXkRFzaN37/1mBR5wrTlcUs5Eg+1JOY8QvyYG9ZF0o8c7KjlXmO5Guc5m5XyUlJRw6tQpg22PPPIIHTt2ZPr06XTu3JnQ0FBeeOEFXnnlFQDKy8sJDAxk4cKFJiWcmjNnJERD5oqlma0ZsyOT7Cwdt7ExK4rC2bPryMiYRnn5GQBatBhNu3ZLady4tiYsRmg00Lo1STkT9YXCKpvD6R7HExe+CjJrbw5n7fu19lhhOme8zuZ8f1uUcFpV1YRTgIULFzJ//nxWrlxJdHQ08+bNY9u2bRw5cgQfHx+bDl4I0TA4c5JdbYyNuX3zP8jIeJbCQl3n2caN2xId/RbNm4+y/ITbtsHQoQD6gKOyRLq+ORzA1q21NocTwhrmfH/bvLfLK6+8wuXLl5k8eTKFhYX07duXzZs3mxR4CCFETVyxY2pNY/ZQl5KXE0dx5gcoyhVUKk8iI2cQHj4dtbr2PDqT2KA5nBD1xergY9u2bQaPVSoVCQkJJJhakUYIIerg6CS7RZsOs+9UIT0jA3h5RMe6D+D6sSncFPQz4zt+iFf5WRSgWbM7iI5+Cy+vNrW9hHm1K2zQHK6So27pO+NUgrAPq6ddbE2mXYQQNbk+f+LpwW1Mblxmjd6vbzFoENfSx4OUmaYlgi747hAbUnbw907v07XlPgA8PSOvTrHcWesqQDDs1Aq6zrRGO7Xqcz4eudqjxbKcD0fl1twIhbMaOodOuwghhD3YskqpqRZtOlytM+3ZknIWbTpc5x0QjeYSYzt+xs1eC4FywIPIyFeIiJiBWt3E6LHGOrXWegeksjncmphqzeFARTyJMOAB4owEHrV1Wx3ROdiu19tR5xWOI8GHEMJlxEYE1OuX0b5TNS+PrW17pYKCr8jIeI7S0pMABAQMJzr6bZo0aW/SeY0VVTM2/aJvDrdzJVQp8xEXvgoGPFBnczhH5da4Yk6PsI4EH0IIUYuekQH8fOLPGrfX5PLlTDIynuPcua8B8PQMo127pbRoMcboFMv1LC2qpku1iwHNSdixQ5dcGhICgwYZveNRyVG5NY7O6RH1z+KutkKIhslVu2laMu6XR3SkpY+HwbZAH49qUy4aTSknTyaSkhLDuXNfo1I1Ijx8Or17H6Jly3vNCjzABkXV1Grdctpx43T/NSHwAMcVsLpRCmcJ08mdDyGEyVw1KdCacafMHGZ0tcu5c99x7NizlJYeB8DffyjR0e/QtKl11+XmNs0N8j76tmlu1euZyhG5NY48r3AMWe0ihDCJKxb6AvuNu7Q0i4yMqRQUbADAwyOEtm2XEBg41uw7HddLzSrk3uU76JNzkMALheR7B5Ac1pnPnxnk1NdaNGyy2kUIYXOumhRo63FrteVkZy/m1KkktNrLgJqwsOdp3Xo2jRpZ/w+mhAQ48/Nxdv78GKElBfrtZ3xakPDbd4T262W0OZwQrkCCDyGESVw1KdCW4/7zz+85duwZLl8+AoCf3yCio9/B27trrceYVSgMXXO4Dzf3IoxJxFepTPpRySQ+3NyLxGbpgPFVK9aSYl/C3iT4EEKYJDYigB7hftUKXzn7l1NlMuP1BcrMGXdpaQ7Hj7/I2bPrAHB3D6Rt2zcJCvq7yYXCVidn81lyVp2FwuJ2jgB0zeFUoC8UNruyUNiuVaCpuzmcpVw1r0e4Fgk+hBAmSc0qrLHwVWpWodMHIJYmM2q1V8jJWcapU3PQaC4AbrRqNYXWrRNxd/c3eqxFhcJ27ICcHH2BsHiS9D1a9M3hsq/uZ4fmcFLsS9QXWWorhDCJsdwJVxAbEcCYnmEmf4kWFm5jz54enDjxMhrNBXx9+3HTTXuJjn6rzsADjBcKq9V1zeEqe7PUV3M4V/8dC9chwYcQwiSumvNhrrKyPNLT/85vvw3l0qV03N1b0KHDx8TG7sTHp4fJr1NbQTCjhcLqaA5X03621FB+x8LxJPgQQpjEFoWgrC1Q9uK6NG5bvI0X16WZfWxd59ZqK8jJWUZycgfy8/8NqAgNnUSfPkcICXkUlcq8/11aVChs0CAICyOJuKvN4OIoozGJVx8nEQfh4br97ECKfYn6InU+hBBmsXQlhLWJjJ3ivuPyFa3+sZe7G4eSRtrk3EVFuzh6dDIXL+4HwMenN9HRK/D17WXy+Gpj7mqXpHHpVZrDJV3bTpyuW+0D6cR9JqtdhPMx5/tbgg8hhN1ZW+jrxXVpfL7vdLXt9/ZsxeL7e1h87s7BVzhxYjp5easAaNQogDZtFhAS8hgqlX1Wk9QlIUG33DZu5wjIqdIdLjycpAEb0XSIkTofwilJkTEhhFOxttCXRcmbRs6tQsOZMyu4mPUmFRW61wgJeZyoqPl4eLSo8zXtydrmcEK4Agk+hHBRjro1bsl5rU1k7B7uT8bZ6kFEXV1eazpHlN8RHo55l6alGVQA3t6xREevwM/v5lpfw9ypEz2NploAYXJ9DrWa1DbdyfRtp7vWEniIG4hMuwjhghxVCMqa815/7NOD2zC9HnM+/rU7jfvaf8ItYZtxUymo1X60afM6oaGTjE6xVC0UBrrCakYLhWFk6iQsjKSBm0yaOpFiX8LVmPP9LatdhHAxtRWCsneLe2vP++rITmyY3J8l93dnw+T+ZgUeAIeSRnJvz1a0a9mUe3u2MjnwUBQtD3ffxYphzzAkfBNuKoWgoAn07XuUVq2mGA08jBUKM0Z9RJc0mpQz0WB7Us4jxK+JQX0k3ejxjvodC1FfZNpFCBfjqAZvtjhvbESAVWOsK7n0eiUl+zh6dDIlJb8C0LRpN6Kj38Hf3/idi0rGck1qnX65rkQ6XCuRHk+iSSXSXbWJnxCmkuBDCBfjqEJQrlSA6sqVQjIzZ3HmzLuAglrtQ+vWibRq9Qxubqb/b697uD+rk7Nr3F4rG5RId6VrLYQlZNpFCBfjqEJQzlBkbG1KFq+t31/rtIeiaMnNXUVycgfOnFkBKAQGjqdPnyPszhvDrC/S65wyqcqiQmE2KJHu6GJf1v6ehKiL3PkQ4gZQX1njv5w4Z/D45+seG2NtAmVdHWIvXNjP0aOTKS7eBUCTJjFER79DQMAQ87vLVvHFlIHmrXapo0S6PgCpo0S6pc3wrCWJrqI+yJ0PIVyMo5IRLU2+BOvHbOzcFRVFHDs2lT17elJcvAs3t6a0abOIXr3SCAgYYtW4K43tHcG8Md1MW2ZrwxLp5jbDs5Ykuor6IsGHEC7GUZ1HbV3oy9h2086h8Mcf/yY5uSOnTy8DNLRseT99+hwmIuIl3NzcrR63RdRqkgZuupZcevVORxxzSSSeeBJJGrDR9Hof9Ui62or6IsGHEC7GFsmIlszpW9Sl9SpbFBmrKtT7FK/2mUE379coL8/Dy6s93bptpnPntTRuHGbS+EwZt6U0HWJ0PVjCVhpsjwtfReID6Wg62Lc3C1j2O5ZEV1FfpMiYEC7ImoJd1szpX19wKzbcjw0m5k5YW2Ss7YxvcHe7xN3t1jAs8n80ctPg5uZFZGQc4eHTcHPztMu4rapSas2xVnBkMTjRcEljOSEaAEvKnFvb4A2sKDVu4ZgBFm06RPKhTxjf8UMCGv8JwJ68frgHJPH8iFvtMm5bVCl1BFv8jqWrrbCENJYTogGwpGCXLYpXje0dYXbQUcmSMV+8eJiQiglM6ZECwB8XQ/j00FMcKOhFvzZNeN7E1zF33JVVSmGiwRLZyiqliQ+kA/afPjGXMxSDE6IuEnwI0YC40py+RnORU6fmkp29mLCmVyjXePD1ifv4LvNermg9AOgZaacvSBtUKXUUV/odi4ZLgg8hXJQlt8Yri1ddP6dfn0s56xqzoigUFGwgI2MqZWW66qLNmt3By5vv50hBc/1+gT4evDyio03PrWeDKqWO4ujfsRCmkOBDCBdky0JQ9ZX0ZcqYL106RkbGc/z550YAPD0jiY5+ixYt7mJTN1i06TD7ThXSMzLArMDD7Ot1XZXSuVWKhZlapdSZOFVinxDIUlshXI41haCctSOuRnOZzMx4UlK68OefG1GpPIiMnEWfPum0aHGX/piXR3Tksyf7mX3Hw+z3XEeV0pr2cxZSKEy4ArOCj3fffZdu3brh6+uLr68v/fr147vvvtM/rygKCQkJhIaG4uXlxZAhQzh48KDNBy1EQ2ZNIShHFZEydt6Cgq9ISYnh1KkkFKWcgIDh9O59gKioJNTqJnY9d62uVilNrKVKaaIZVUrrmxQKE67ArOAjLCyMBQsWsGfPHvbs2cNf/vIX7r77bn2A8cYbb7BkyRKWL19OSkoKwcHBDBs2jJKSErsMXoiGyJqEQmfqiNvCK4/Aiif4/fe7KC09iadnGJ07/5du3TbSpEl7u57b2HZAX6V0NonMqczxQDcFM4c4ZjtxlVJJOBWuwKzg484772TUqFG0b9+e9u3b8/rrr+Pt7c0vv/yCoigsXbqUmTNnMmbMGLp06cInn3zCpUuXWL16tb3GL0SDY03HU2foiOvuVs5dbT/jjVumUHFpIypVI8LDp9O79yFatrwXlUplt3NXMuU9V1Ypnez/vuGx/h/UW5VSSzi6I64QprC4yJhGo+E///kPEyZMIDU1lcaNG9O2bVv27dtHbGysfr+7774bf39/Pvnkkxpfp6ysjLKyMv3j4uJiwsPDpciYEHWwphCUo4pIJR/+DyX5r6DWngTA338o0dHv0LSpnStoajQc+++3FB4/RUDbSKL/NsqkuxapWYXcu3wHfXIOEnihkHzvAJLDOvP5M4Oc/stcCoWJ+mbXImMHDhygX79+lJaW4u3tzYYNG4iJiWH3bl1FvaCgIIP9g4KCOHXqVK2vN3/+fObMmWPuMIRo8KwpBFXfRaRKS7PIyHiBSwXrUQMeHiG0bbuYwMAHbH6no6qqVUqjLahSmllwEa2bml8iulXb7uxf6FIoTDgzs1e7dOjQgbS0NH755ReefvppJkyYQHp6uv756/9HoiiK0f+5zJgxg6KiIv1Pdna2uUMSQjgprbacU6cWkJzciYKC9YCasLAX6NPnMEFB4+waeMC1KqVJORMNtldWKVUfSa/5wKskf0II+zD7zoeHhwft2rUDoFevXqSkpLBs2TKmT58OQF5eHiFVlp/l5+dXuxtSlaenJ56etTeEEkLUzFG31U09b2HhDxw9OoXLl48A4Oc3iOjod/D27lo/A7VBlVJbFOxyxekPVxyzcC1WFxlTFIWysjKioqIIDg5my5Yt+pyP8vJytm/fzsKFC60eqBDiGlsWGbP1ecvKTpORMY2zZ9cB4O4eSNu2bxIU9He73+kwYKMqpa+O7MSIzsEWfRk76vdkDVccs3A9Zk27vPbaa+zYsYOTJ09y4MABZs6cybZt23jwwQdRqVRMnTqVefPmsWHDBn7//XcmTpxIkyZNGD9+vL3GL0SD46yFwrTaK2RnLyY5uePVwMONVq2eoU+fIwQHP1S/gQdUq1JaWSTMkiqlsREBjOkZZvYdD1cr9uWKYxauyaw7H3/88QcPPfQQubm5+Pn50a1bNzZu3MiwYcMAeOWVV7h8+TKTJ0+msLCQvn37snnzZnx8fOwyeCEaIlt0LbX1eaN893P06BQuXdLV/PH1vZno6BX4+MTWeEy9qKNKqT4AsVOVUkf9nqzhimMWrsms4OPjjz82+rxKpSIhIYEEY+njQgirOFOhMD/PPwnSTiMt7T8AuLu3oE2bhQQHT0Slsn33BrNyESqrlOY8wmwS9VMtupyPJBRUxIevsluVUldMVnXFMQvXJL1dhHAxzlAozE2lYVjk/1g8ZDJXLvwHUBEaOok+fY4QEvKoXQKPBd8d4p4Vu5m27jfuWbGbBd8dMn6AQZXS+OuqlMbbvUqpKxb7csUxC9dkcZExezGnSIkQDZmjViSkHP2OorwXaaTVffn7+PQmOnoFvr697HZOS4t9Va3zQdU6H+HhJA3YWGedD1uN3dVWjrjimIXjmfP9LcGHEMIk5eX5HD/+Cn/8oatW3KhRAG3aLCAk5DFUKvv1OElIgDM/7yHh55GElhTot5/xaUFCv+8I7der7gBCo9GtasnN1eV4DBrklH1ZhHBldq1wKoRoWBRFw5kz75OZOZOKivMABAc/Rps2C/DwaGH386uPpPPh5l6EMYn4KqtUPiqZxIebe5HYLB2oo8+KWm10Oa0Qon5J8CGEi1qbksVv2efpHu7P2N4RdjlHcfGvHD06mQsX9gHg7R2L4ruA9AsxXM5TE2uf015zXaEwFdcKhc0myaRCYUII5yPTLkK4oNHv7CQtu0j/uEe4H19MGWiz179y5RwnTswgN/cjQEGt9qNNm9f51/7BvLf9Wq8muxeg2rYNhg4F0K9SqVwum1il1T1bt8qdDSEczJzvb1ntIoSLWZuSZRB4AKRlF7E2Jcvq11YULWfOfMivv7YnN/dDQCEoaAJ9+x4hXzPeIPCAeihAZcNCYUII5yHBhxAu5rfs82ZtN1VJyV727evH0aNPUlHxJ02bdqVHj5/o1GkVHh5BRgtQ2U0dhcJq2k8I4fwk+BDCxXQP9zdre12uXCnk6NEp7N3bm5KSZNRqH9q2/Qc33bQPf/9rBbgcUoCqslAYccSTRCJxlNHY4DHh4XYrFCaEsA9JOBXCgSyppzC2dwSfJRtOvcSG+5mVdKpLVv2TvsE/0EJZyJUrZwEIDBxP27aL8PQMrXaMLTq8mq2yUNiamGqFwhRUzCYR1YAHiJNkUyFcigQfQjiINd1Dv5gy0OLVLqPf2cm586k8FPMefuXpXAGaNOlEdPQ7BAQMNXqsNR1eLa21oekQQ+ID6cTtXAlV6oTFh69CNeABNB3qWGYrhHA6stpFCAdIzSrknhW7q23fMLm/Xe8krEv+nbT0mdwW+TVuKi2lFY35X8Y4hvR8jbF92tnlnLVWGQ0LI2ngJtOrjEqhMCGcmhQZE8LJ1Xf3UEVRyM9fjd+FqQxvrasSmpI3gNWHnqCwrAUBgZcY28fmpwV0gUf8mhhgosEKlaScR4hfo7urUWeRMJBCYULcQCT4EMJKluRt1Gfy5sWLBzl6dApFRdvxdIPci634NP0pDp7rqd/HnGRVs97vdUXCgCqdZROlSJgQDZQEH0JYwdK8jfpI3qyoKOHkyTmcPr0MRanAzc2LyMhZvP3NzRw8d/naWMxIVjX7/e7YATk5+jse8SQx9+qSWX2RsOyr+8ldDSEaDMn5EMJCtsjbsEf3UEVROHv2P2RkvEB5+RkAWrQYTbt2S2ncOBKwrDS7Re/3s89g/Hj9Q09K9bU6ymh8bb/Vq2HcOBPfoRDCGUnOhxD1wBZ5G7ERATa923Hp0hGOHXuGwsLvAWjcuC3R0W/RvPkog/3G9o4wux+MRe+3jiJh+hwQKRImRIMiRcaEsJBDim7VQqO5yIkTr5GS0pXCwu9xc2tM69Zz6N3792qBh6User9Xi4Ql1VIkLEmKhAnRIMmdD3HDsMcUhjG2yNtYtOkw+04V0jMygJdHdDTr/Lqpk0L6hPxKEK9TVqbr7dKs2R1ER7+Fl1ebOo41b9olNiKApwdGkrr6KwIvFJLvHUDP8Xcaf79Xi4TFr4nRJZdWKRIGKuJJBCkSJkSDIzkf4oZgTcEua/R+fQtnS8r1j1v6eJAyc5jdjx39zk7OnDvEg53ep3vLvQB4ekYSHf0WLVrcVeex5nbEtaZWR63HhoeTNGCj6XU+hBBOTbraigYlNavQIPCAeui2iu6uRdXgAeBsSTmLNh2267Frk4/S2nMFrw+YQveWe7mibcSXGWPJUm+qM/CwtCNuZa2OpJyJBtsra3Woj6TXemxCAsR9FgMnT8LWrbrk0q1bITOTuM8k8BCiIZJpF+Hy6rtgV6V9p2oObmrbbotjCwq+xqdkEqPbnQbgQEEsn6ZP4o9LrWjcrKzOQmHGOuLWOv1iq1odUiRMCHGVBB/C5uo798JRiZ89IwP4+cSfNW639bGXL2eSkfE85859RRM1nLvcgs8OP8GeP/oDKsC0QmHdw/1ZnZxd4/ZaSa0OIYSNybSLsKkF3x3inhW7mbbuN+5ZsZsF3x2y+zkrEz+rsnu3VeDlER3xcjf8K+Tl7mZS4qipx2o0pZw8mURKSgznzn2FStWI8PDpzNr1Hnv+GEBl4KFWYVLi6NjeEbT08TDYFujjYfzY3Fz9H+OYq18q60GZQbn0qvsJIYQxEnwIm3FU7gXouq1umNyfJfd3Z8Pk/kyvh2TT1KxCLl/RGmy7fEVr0vs15dg//9zEnj1dOXkyHq22FH//v9Cr137WZ0zkckVjg2M1Cibli6RmFVbLNckvKTc+5jpqddS0nxBCGCPBh7AZY7kX9SE2IoAxPcPqZaoHrHu/xo4tLc3i99/vZf/+27l8OQMPj1BiYtbQvfv3NG3ayapck8yCi7hpNdyctZ+70rdzc9Z+3LQa42OWWh1CCBuTnA9hM85UdKs+WPN+a9pHrbpCSKMPSU5+E632EqAmLOx5WrdOoFEjH/1+luaaJCRA0b6z7Nz2GKElBfrtZ3xasOjwZvb3DKt55YnU6hBC2Jjc+RA246jci0qpWYWs35dj0TTPok2HGffBzyZNXVSy5v1ef2ynZmksHzaNsj8T0Wov4ec3iF69UmnXbrFB4AG6fJGa8jbqyjVRH0ln6VexfFQyyWD7RyVPs/SrWKPLZTUdYkh8IJ24sJUG2+PCV5H4QDqaDjFGzy2EEFVJkTFhc/W92gWsKzJmTbEvsO797j1xkIIzM/Cs+AoAd/dA2rZ9k6Cgv6NSqWo9zuxCYRoNtG5NUs5E/dTJteWySbo7GuGrILOO5bIajW5VS26uLsdj0CDj+wshGgxzvr8l+BAuz5rusos2HeadrcerbZ8ytK3Z5c7NodVe4fTptzh5MgGN5gLgRqtWU2jdOhF3d3+jx65NyWL65weqbV94b9faV61s2wZDhwLoA47KpFH9clnQFf+S5bJCCAtIhVPRoFiT+GlN8qalzp/fzp49sRw//hIazQV8fftx0017iI5+q87AA4wXCquVLJcVQjgRCT6Ey7Mm8bO2JE1TCoVVMjVfpKwsj/T0v5OWNoRLlw7i7t6CDh0+JjZ2Jz4+sSafr7aCYEYLhclyWSGEE5HVLsLlxUYE0CPcr1oOhCn5Fy+P6Mi6PdkGOR+mJG9Wqpov8vOJP1m3J7tavohWW8GZM++QmRmPRlMMqAgNfYqoqNdxd29m0nmqGts7grW/ZOLx8259d9kr/fobLxRWuVw255GrJdENcz5Apcv5kOWyQoh6IMGHcHmpWYU1NktLzSo0KQBJmTnMotb2xprDVb5GUdEujh6dzMWL+wHw8elNdPQKfH17mXSO61V2iF2/8++GHWJ3hJG020h3WVkuK4RwIhJ8CJdni8ZyliSXGssXKS/P58SJ6eTlrQKgUaMA2rRZQEjIY6hUln/BV3aXhYkGuRqV3WUTH0gHal72ql8uu3MlVIlb4sJXwYAHZLmsEKLemJXzMX/+fHr37o2Pjw+BgYGMHj2aI0eOGOyjKAoJCQmEhobi5eXFkCFDOHjwoE0HLURVjmwsdz0VGkZEfUdycgd94BEc/Bh9+hwlNPRJqwKPyu6y1yqL6nI1DLvL3q5bDlsDaW0vhHAWZgUf27dvZ8qUKfzyyy9s2bKFiooKhg8fzsWL1/7l+cYbb7BkyRKWL19OSkoKwcHBDBs2jJKSEpsPXghwbGO5qsW+2vgdIWngi7R2T6Ki4jze3rHExv5Mx44f4eHRosbXMKswWpXuspUBiCelVep2JEF2tm4/Yypb248bp/uvmVMt1hRzE0IIsLLOx9mzZwkMDGT79u3ccsstKIpCaGgoU6dOZfr06QCUlZURFBTEwoULeeqpp+p8TanzISzliOJmAEs2/YzX5QV09PsKlUpBrfYjKmourVo9bfROh9mF0T77DMaP1z/0pFS/aqWMKo3mVq/WBRZ2YE0xNyHEja3e6nwUFemS/Jo102XsZ2ZmkpeXx/Dhw/X7eHp6MnjwYHbvrl4ECnTBSXFxscGPEJao78ZyiqLlzJkP6dP0r3Ty/xKVSiEo6GH69j1CWNgzRgOP1KxCPth6zKDB2wdbjzl1d1lHdi0WQtxYLE44VRSFadOmMXDgQLp06QJAXl4eAEFBQQb7BgUFcerUqRpfZ/78+cyZM8fSYQjhECUlezl6dDIlJckANG3ahejoFfj7m7ZUtWzdf9n53mvVGrxlBc6Dl56o+aCry2UTcx5hdg3LZRVUxNtxuawtEnuFEAKsCD6eeeYZ9u/fz86dO6s9d31PCkVRau1TMWPGDKZNm6Z/XFxcTHh4uKXDEg2YNdMua1Oy+C37PN3D/Y3Wy7hypZDMzFmcOfMuoKBW+9C69RxatXoGNzd3k86VMPYQbuuymUWBwfbgkgI+ejmbjSmHSFhbw1TG1eWys9fEMKdKSfQ45qIAs0lCZcflsg2ta7EQwn4sCj6effZZvvzyS3766SfCwsL024ODgwHdHZCQKrd+8/Pzq90NqeTp6Ymnp6clwxBCz5pchKpN2lYnZ/NZcla1Jm2KoiUv7/84ceIVrlw5C0Bg4Djatn0TT89Q0weq0aDe+A3xJKJCMVgu+zqzdHc0Nr4JmvY1JoJWLpd98tv3oMoM5ZN+76MaOc6uy2UrE3urXuf67FoshLhxmBV8KIrCs88+y4YNG9i2bRtRUVEGz0dFRREcHMyWLVuIjdWViy4vL2f79u0sXLjQdqMWoorachFGdA6u84txbUpWjQXK1qZk6e+AXLjwG0ePTqG4eBcATZp0Ijr6HQIChpo/2B07iCt+GSi6WlmU67rLxhFXPBd29KqxwVtCAqxN8aZf+Mf0yTmor3CaHNaZ+fd5M7a3+UMyx6sjOzGic7BDEnuFEDcOs4KPKVOmsHr1av73v//h4+Ojz/Hw8/PDy8sLlUrF1KlTmTdvHtHR0URHRzNv3jyaNGnC+CpZ+kLYkjW5CMaatN0b60dm5mxOn34b0OLm1pTWreMJC5uKm5tHjcfV6Wrjtso7HvEkMfdq8qhBd1kjDd5+yz6P1k3NLxHdqm03WmLdRmIjAiToEEJYxazVLu+++y5FRUUMGTKEkJAQ/c/atWv1+7zyyitMnTqVyZMn06tXL06fPs3mzZvx8fGx+eCFAOtyEWpuxqbQN2QryckdOX16GaClZcu/0afPISIiXjEMPDQaXbv6zz7T/beWAl96VaYjjXaXNbJixaLGckII4USsqvNhD1Lno2EzNfHzetfnfDw9uA3TLcj5CPU+xeTYDwlrmgaAl1d7oqPfplmz4QbHVPZYids5wrDHSlgYSQON9FjRaKB1azh9miRlJvEk6QOQROKIU70OYWGQmWm0+FfVMQPEhvux4bo8FXtxVD0VIYRzM+f7W3q7CKdhSuKnqcyJqL+YMpB1yelcOreQSK/VqKjAzc2LyMhZhIe/iJtb9YToyh4rChOJr3LHIjHnEWYb67GiVsOyZSTdm1Zzd1lFRdzSHnVWHf1iykCLAzVrSJExIYQtSPAhnIIpiZ+1sSbhVFEUzp5dR1jFNMq9zgDQosVo2rVbSuPGkTUfdLXHisJE3fJWriWNziaROcQTt2sVaGq+e5F0cAzxjOElj/nElV9bLlvs0YT48kQ4CHFjjA4bgLG9I+ot6ADrrrMQQlQlwYdwCsYSP+v6grU04fTixcNkZDxLYeH3ADRu3Ibo6Ldp3nyU8cFe7bESz1xU1JI0mn11vxpWrGg08MCkIj736Ux2zjyDFSsPlBSh0fgZP7+DSJExIYStSPAhnEL3cH9WJ2fXuL0u5iacajQXOXVqLtnZi1GUK6hUnnj4T+VMxeN4XmxO8+Z1nLDKSpQ45uoDj2pJo7WsWElIgNQsLfesqL5i5ZUZWmLr72aGWaTImBDCVqzq7SKErYztHUGPcMN/8ceG+5k0rWBqV1vdFMt6kpM7kZW1AEW5QrNmd5B6YQPLFvqxbc4HLHz1PRZ+/bvxE9qgx4qjOvFawxXHLIRwTrLaRTgVa5Ioja3CuHTpGBkZz/HnnxsB8PSMZMOGTVw5fImXtw2v1mNl0ZDN+PWMNbpipbYeK3OI1/VYqWPFSl1jdlauOGYhhP3JahfhsqxJoqyp+JVGc5msrPlkZS1EUcpRqTyIiHiFiIgZfP/WSeK/iiWASQYrVj4qmcTSr2JJbFr7ihVb9VhxxYJdrjhmIYRzkeBD3LAKCr4iI+M5SktPAhAQMJzo6Ldp0qR9HStWkupcsaLpEMPUO1N5fNt7UHJt++M+71E4ZAyaDrH18h6FEMIVybSLqFF9dIi1tUWbDrPvVCE3R17kL6Fvce7cVwB4eobRrt1SWrQYc6278rZtMFTXm6VyusSg2FflnZCtW2tcsVJp4de/k7r6K/2KlZ7j7+SVv3ax47u8RqY/hBDOxJzvbwk+RDW26hAL0CPcz+JCYebom7SRdodTGNZkE507/srFHhWoGjUiLOxFIiNn0aiRt+EBn30GVfoNeVKqTxwto/G1/VavhnHjjJ7bEUGAFPsSQjgbyfkQFrN3h1hbS0iAo9t+5uu0sbQsutZj/kJzd57u8i1th9xWc9JoHStW9Hc+jKxYqVTfORBS7EsI4epkqa0wYKyQVF2MFQqzm/QUPtvej3eLnjPYvOTcdD7dfhvqI+k1HzdokK4PC3H6VvZlNCbx6uMk4iA8XLefk7HmdySEEM5A7nwIA9Z2iLW0UFglU/NFtNpysk++yYxts3BjpvlJo1dXrMSviSGReIMVK6AinkQwccVKfZNiX0IIVyd3PoQBawpJje0dQUsfD4NtgT4eJk+5jH5nJ9M/P8Dq5Gymf36A0e/srHG/wsIfSEnpRuGXM/E8qxDPXP0dC09K9Xcy4kmC7GxdmfMaaDroGsDFha002B4XvorEB9LRdKhhma0TkGJfQghXJwmnokaWJFGmZhVyz4rd1bZvmNzfpHyRGf9Jo0/OQYNeJ/Pv66EPXsrKTpORMY2zZ9cBELLNlw5zruV5WJw0qtHoApTcXF2Ox6BBdRYHcway2kUI4Uwk4VRYzZIkSksbjyUkwO/fZ7Nz/2PVKo0+t/sL0m9txeOPL+XkyQQ0mguAG61aTSFq4HDgTsDKpFG12uhyWmclxb6EEK5Kpl2EzViai6A+ks7nuwbwUckkg+0flUzi810DKPr5Hxw//hIazQV8fftx0017iY5+i0ZDR0JYmH6K5fqk0UQnThoVQoiGTO58CJupzEWougy0zlyEq5VGYSLxNSaNxvFK2lz2ujWnTfQbBAdPRKW6GjMblDmPv67MuYrZJJpc5txRGtrUSUN7v0KImknwIWzq1eHtubc4g8LjpwhoG0n08PbGD9ixA3Jy9IFDPEn6FvX6SqNnoW/5P2kUcle1wyuTRp///gO4NmPD1BYforrtAadNGoWGVyisob1fIUTtJOFU2ERCgm76JG7nCMjJufZEWBhJAzeh6RBTc7EvG1QaTc0q5N7lO6olq37+zCCn/de1Ncm5rqihvV8hGiJzvr8l50PYhPpIOvFrYkjKmWiwPSnnEeLXxNRe7KuOSqM17Xe9zIKLaN3U/BLRjS9jBvNLRDe0bmqnLrrV0AqFNbT3K4QwToKPG1hqViHr9+WQmlVo9rFrU7J4bf1+1qZk1b3z1byNa9VBdUGDrmFboq6I167bdUtaq1AUDafbHKSspYrEq83dLEkadcWiW644Zms0tPcrhDBOcj5uULZqDrc6OZvPkrOMN4czJW8j++p+V5e0Fhcnc/ToZC5c2Mv8LrN4Z6suudSSpFGLEl0dzBXHbI2G9n6FEMZJzscNyN7FvqoxI2/jyt+Gc+LEDHJzPwIU1Go/NmzYjP+ZpsTvut0wXyQ8nKQBG2vPF6nhfbvaSgpXHLM1Gtr7FaIhkSJjDZy9in0dui3Cqg6xBe77OPzrs1RUnAMgKGgCbdsuZNCgIN3BmpPVKo2as0zWFYtuueKYrdHQ3q8QomaS83EDslexr7o6xNZe7GsW5UEe/B7wJhUV52jatCs9evxEp06r8PAIqjKAq5VGx43T/deJ63MIIYSwnNz5uAHFRgTw9MBIUld/pZ866Tn+TquKfSWa0CFWV+zr+rwNmE0S+TEw1mMZrVsn0qrVM7i52f6jJ7f0hRDCNUjwcYOprLfx9Ma/0OL8Wf32gu/+QdLt22rPn7AgabQqfYfYnaugStrGKy3nkt8FlE496NPnMJ6eoTZ8t9dIASshhHAdEnzcYCrrbSg8RXxlYzVgxfmnmL1GFyBADVU/c3P1f4xjrj7w8KDsWoO26/arShfQxHCh6H+cWTuBiuzfKW8O5X07ktTxLwQEDLXJ+6tJalahQeAB8N72E4zoHCx3QIQQwglJzseN5OrUyRzimH1dvQ1dn5Sa620AVhf7qqgo4tixqexJ7c2Z9r9TMKwpzca8Qa++v9k18AApYCWEEK5G7nw4M42m2uoPo0mYV6dO4pmLCjOnTiqTRnMeYTaJ+v2Trhb/UlARH76qWrEvRVHIz1/N8eMvUV6eB0DLlvfRtu0SGjcOs+XVqJUUsBJCCNciwYcTsrhPijVTJyYkjV5f7OvixYMcPTqFoqLtAHh5tSc6+m2aNRtu8Xu3JGnU0QWsJNFVCCHMI8GHE6rM24CJBkFDZZ+UWvM2TKy3UdvUybUOsR9e1yH2I1S3jdN3iK2oKOHkyTmcPr0MRanAzc2LyMhZhIe/iJubp8Xv25qk0VdHdmJE5+B6DwIk0VUIIcwnwYe9mTt1ct2SV6DK9Eei8SWvV6dOknIeubqv4dQJqIirYeqkUkICpGaF0GP5BzV0iA2hR7hCfv46MjKmUV5+BoAWLUbTrt1SGjeOtOoy2SJptL4LWEmiqxBCWMbshNOffvqJO++8k9DQUFQqFV988YXB84qikJCQQGhoKF5eXgwZMoSDBw/aarwuIyEBksalQ+vWMHSorvz40KHQujVJ49JrLxdeZclrZZEuT0r1xbviSILsbN1+17s6daIPUqpMnSQSTzyJJA3YaDT4qa1D7Kk/fmP//uGkpz9AefkZGjduS9eu39ClywarA4/K85qz3Rm44piFEMIZmB18XLx4ke7du7N8+fIan3/jjTdYsmQJy5cvJyUlheDgYIYNG0ZJSYnVg3UlFreYvy5vo3LaxNQlr/p6G2ErDbbHha8i8YF0/dRJba5P0vRQl/K39qvwvzicwsLvUak8ad06gd69f6d581FGX8sctkgataaLryUk0VUIISxj9rTLyJEjGTlyZI3PKYrC0qVLmTlzJmPGjAHgk08+ISgoiNWrV/PUU09ZN1pHqc+pEyvzNirrbYx5+1M8ft6tnzop79ef9c8aDzxAN3XRI9yPtOzz3BT0M+M7fkhzL12xsmbN7iA6+i28vNrU+TrmunbeIv22HuF+Jk9fOCL3wtGJrkII4apsmvORmZlJXl4ew4dfW+3g6enJ4MGD2b17d43BR1lZGWVlZfrHxcXFthyS9davh+efr7bqhGXL4GqAVY011UItXPJa1dqULPadvgAR3a5tPH2BtSlZtXemvSo1q5Az5w4x7ab36dZyLwAFlwOJaL2Erh3Ho1KpjB5vqdSsQoPAAyAtu4jUrMI6v8wdmXvhqERXIYRwZTYtMpaXp6vzEBQUZLA9KChI/9z15s+fj5+fn/4nPDzclkOySsLYQyTdm2YYeACcPk3SvWkkjD1U84HWTJ1ULnklsdqSV13xsLrzNn7LPm/W9koazWXycubw+sDJdGu5lyvaRnx5fCyv7VhBzuXBdgs8wLr8CUfnXsRGBDCmZ5gEHkIIYSK7VDi9/ktKUZRav7hmzJhBUVGR/ic7O9seQ9JNnWzbBp99pvtvTVU+r9tfvfEbXZJm1QqfQJIyk3gSUW/8xi7VQjUdYnhsWAqP+7xnsP1xn/d4bFhKnXkb3cP9zdoOUFDwFSkpMXiVL8PdrYLfC2KZtfMd1h97iHJtY7vnMViTPyG5F0II4VpsOu0SHBwM6O6AhFT5Ys3Pz692N6SSp6cnnp6W14aoi8UFu3bsIK74ZaCohryNqytPiufCjl61Tp1Ys+QVejPm7f8a5G1c6defz5/tXed7Hts7gs+SswymMWLD/Wqccrl8OZOMjOc5d+4rADw9wzhQ/CJv7mkH6AJGc/MY6rtQmKNzL6TImBBCmMemwUdUVBTBwcFs2bKF2NhYAMrLy9m+fTsLFy605alMZnHBrqtTIkbzNqrsZ3jSq0te18RUW/IKKuJJhOuqhdakT7tA3jt9LW9jUrtAk9/3zW2aGwQffds0N3heoyklO3sRWVnz0GpLUakaERY2jcjIOPo18qZ3J8u+UG2Z+KmYsa8UGRNCCNdh9rTLhQsXSEtLIy0tDdAlmaalpZGVlYVKpWLq1KnMmzePDRs28PvvvzNx4kSaNGnC+PHjbT32ul1ddVJZL6Nqo7Vrq07qbrRmNG+jjmqhli55rS2J0pRlpHUde+7cRvbs6crJk/FotaX4+w+lV6/9tG27kEaNvAHL8hjsOWZT1HfuhS3GLIQQDZHZdz727NnD0KHXupROmzYNgAkTJrBq1SpeeeUVLl++zOTJkyksLKRv375s3rwZHx8f243aVDZYdcLp0yQpM6sveVW9rnve6NRJDGhOVlumW9cdDzCeRFnXl2ttx57KP4p78RsUFKwHwMMjhLZtFxMY+IBNkkntMWZTjnUUVxyzEEI4A7ODjyFDhqAotd8QV6lUJCQkkFBrCc96ZGWjNZYtI+netJrzNhQVcUt7GK/3Ufk61wc2JrBlAqZadYXbW3+B/8X/UHDhEqAmLOx5WreeTaNGvmaPzdTz1rXdVsfagiV5G44esxBCuKobu7eLlQW7kg6OIZ4xJPq+qUsu5Wrehq8f8cWJcBDiain1YS1rEzBb+nhwtqScTs3SeDjmPUK8c0ABP79BREe/g7d3V7uM2dJCYVXHXCnQx6Ne7iBYmrfh6ERXIYRwVTd28GHlqhONBhITIe61F3SrWq5OncQNGgTz6l6tay1LkyjXpmRxpfwMT3f/mL4huh4wRWX+4DObwT2ed8pCYWtTsgwCD4D8knKTCqNZw9oCZVJkTAghzHdjBx9Wrjq5NnNUfeokLs5egzZkbqdWrfYK588uY/6gd/FqdBmt4sYPWXew4diDjO7ZibsdVCisrvdgrDCaPYMPW+Rt1Hc3XSGEcHU3dvBBlVUnO1dClTIfceGrYMADda46cSXnz2/n6NEpdGii6yJ8rLAj/0p/mqyStoDxImO2YE0ORPdwf1YnVy8w58xjFkIIYZkbPviwdtWJLdi7CFVZWR7Hj79Efv6/AXB3b8E3Jx/nswP9Ua6upq6tyFht1qZk8Vv2ebqH+5t8nDU5EOYURrMlydsQQoj6p1KMLV1xgOLiYvz8/CgqKsLX13YrMRzFnkWotNoKzpx5h8zMeDSaYkBFaOhTREW9zn0fpFdL/PxiykCTXnf0OzstPhasC7YsCXpsQaqUCiGEdcz5/pbgw45Sswq5Z8Xuats3TO5v9RdcUdEujh6dzMWL+wHw8elFdPQKfH17szYli+mfH6h2zMJ7u9b5hW7NsUIIIRouc76/7dJYTujYo9tqeXk+hw8/QmrqQC5e3E+jRgG0b/8ePXv+gq+vru+LpV1trT1WCCGEMMUNn/PhSLZIZly06TD7ThXSM9KX8V22k5k5k4qK8wAEBz9Gmzbz8fBoaXCMNcmbjkr8FEII0XDInQ87qiy6VZWpRbcAer++hXe2HuePcz/TsvRujh2bQkXFeby9exAbu5uOHT+qFniALnmzpY+HwbZAHw+Tpk3G9o6oNub6SPwUQgjRcMidDzuypujWok2HuVRawMTOn3BL2GbcVAqXrjTlLC/w8E0JqFS1r9RJzSqssWCXKecF+GLKQIclfgohhLjxSfBhR5YWsFIULZfOr2LhoBV4e5QAsPP0X1h35BE6h7VlgpHAw5rzVjW2d4QEHUIIIexCgg87siTno6RkL0ePTmZwUDIA2SWR/Cv9aY4WdgGgZ2TdwYMUzhJCCOHMJOfDjioLWFVVWwGrK1cKOXp0Cnv39qakJBm12ocvM58iYfcyfeAR6OPByyM62vS8QgghRH2TOx/17PqiKoqiJS/v/zhx4hWuXDkLQGDgONq2fZNdF4rQHLlWoGxMzzCTzyMNz4QQQjgrufNhR7V1TE3NKgTgwoXfSE29hSNHHuHKlbM0adKJ7t1/JCZmNel/eBk91hSxEQGM6RkmgYcQQginInc+7Ki2xM+TZ3PxLpvD6dPLAQ1ubk1p3Xo2YWHP4+bmYfRYc5JGhRBCCGckwYcdVU/wVOgXso1mlx7jdMkfALRseR9t2y6hceOwOo41vr0m0q9ECCGEM5Lgw45iIwLwcnfj8hUtod6neDjmXTo2+x1FA15e7YmOfptmzYbXemyPcL9qDd5MDSLs2dBOCCGEsIbkfNjRok2HUbQXGNvhnyT2f46OzX6nTONJTsVUevfeX2vgAcYLlNWlrlwTIYQQwpEk+LATRVE4f+6/zBv0NCOj1tPITcPeP27mtR3v8s2J+3Fz8zR6vDVN6ezR0E4IIYSwFZl2sYNLl45w7NgzDAv9HoD8S8F8mv4U+wt0XWftXShMiowJIYRwZnLnw0QvrkvjtsXbeHFdWq37aDQXOXHiNVJSulJY+D0qlSebsx5i5s4V+sCjPgqFSZExIYQQzkylKMr1da8cqri4GD8/P4qKivD19XX0cADoFPcdl69o9Y+93N04lDRS/1hRFAoKviAjYyplZVkANGt2B9HRbzHun2eqJY1+MWWgyee2ZsWKrHYRQghRX8z5/pY7H3V4cV2aQeABcPmKVn8H5NKlDA4cuIODB8dQVpaFp2ckXbr8j65dv+LL3xvVmDS6NiXL5PNbUyhMiowJIYRwRhJ81OG37PM1bj+Y8weZmbNJSenCn39+h0rlQWTkLPr0SadFi7tQqVS1HlvbdiGEEKIhkITTOnQP9yfjrOEqke4tk3my+8ecOnUagICA4URHv02TJu2rHbs6ObvG1zSVTLsIIYS40UjwUYfF9/fg8326IKOFVx4PdvqA2EBdu3tPzzDatVtKixZjUKlU1Y4d2zuCNzcf4WxJuX5boI8HY3tHmHRuawqFSZExIYQQzkqmXeqwaNNh3N3KuavtZ8wbOJnYwGQqtGpyKx6nd+9DtGx5b42BB+juPFQNPADyS8rtXihMiowJIYRwZhJ81OHs2e9IGjCFMdH/xkNdTvq5bsTtWs6XJx6lUSNvo8c6qlCYFBkTQgjhzGTapRalpVlkZLzAqLD1ABSWNmPN4cf4Ne8WQMUYJy4UJkXGhBBCODO583EdrbacU6cWkJzciYKC9YCa7afvZcaO9/g1bzCgcvpCYVJkTAghhDOTOx9VFBb+wNGjU7h8+QgAfn6DiI5+h6UHiyjVXKvXEervZfJr/nLinMHjn697bMyrIzsxonOwRStWrDlWCCGEsCcJPoCystNkZEzj7Nl1ALi7B9K27ZsEBf2ddXuyScs2LApWWSisrlUra1Oyai0yZuqKl9iIAIsDB2uOFUIIIezFbtMuK1asICoqisaNG3PTTTexY8cOe53KYlrtFbKzF5Oc3PFq4OFGq1bP0qfPEYKDH7K6UJgUGRNCCCGqs0vwsXbtWqZOncrMmTNJTU1l0KBBjBw5kqws08uK20O32Rtp/eo3dJu9kfPnt7NnTyzHj7+ERnMBX99+3HTTXqKj38Ld3V9/TG0FwUwpFGbNsUIIIcSNyi7Bx5IlS3jsscd4/PHH6dSpE0uXLiU8PJx3333XHqczSetXv6G4TIOfRyEPdFhIWtoQLl06iLt7Czp0+JjY2J34+PSodtzY3hH0CPcz2BYb7mfStIk1xwohhBA3KpvnfJSXl7N3715effVVg+3Dhw9n9+7d1fYvKyujrKxM/7i4uNjWQ6Lb7I24qTTcGvE197T7N03cL6FVVOw+M5Lp9/8Ld/dmRo//YspA1qZk8Vv2ebqH+5sVPFhzrBBCCHEjsnnwUVBQgEajISgoyGB7UFAQeXl51fafP38+c+bMsfUwDBSXaQj3OcW4jh/hplI4cT6a/0ufzMniaGY9aDzwqDS2d4TFgYM1xwohhBA3Grutdrm+5LiiKDWWIZ8xYwbTpk3TPy4uLiY8PNymY/H1VJNd0oZvTvyNc6WBbM8ejoIaX0+1Tc8jhBBCiLrZPPho0aIFarW62l2O/Pz8andDADw9PfH09LT1MAzsn3M7rV/9hs+PTai2XQghhBD1y+YJpx4eHtx0001s2bLFYPuWLVvo37+/rU9nspML7tDf6fD1VHNywR0OG4sQQgjRkNll2mXatGk89NBD9OrVi379+vHBBx+QlZXFpEmT7HE6k8mdDiGEEMLx7BJ8jB07lnPnzpGYmEhubi5dunTh22+/JTIy0h6nE0IIIYQLUSmKojh6EFUVFxfj5+dHUVERvr6+jh6OEEIIIUxgzve3dLUVQgghRL2S4EMIIYQQ9UqCDyGEEELUKwk+hBBCCFGvJPgQQgghRL2S4EMIIYQQ9UqCDyGEEELUKwk+hBBCCFGvJPgQQgghRL2yS3l1a1QWXC0uLnbwSIQQQghhqsrvbVMKpztd8FFSUgJAeHi4g0cihBBCCHOVlJTg5+dndB+n6+2i1Wo5c+YMPj4+qFQqm752cXEx4eHhZGdnS9+YOsi1Mp1cK9PJtTKPXC/TybUynb2ulaIolJSUEBoaipub8awOp7vz4ebmRlhYmF3P4evrKx9OE8m1Mp1cK9PJtTKPXC/TybUynT2uVV13PCpJwqkQQggh6pUEH0IIIYSoVw0q+PD09GT27Nl4eno6eihOT66V6eRamU6ulXnkeplOrpXpnOFaOV3CqRBCCCFubA3qzocQQgghHE+CDyGEEELUKwk+hBBCCFGvJPgQQgghRL1qMMHHihUriIqKonHjxtx0003s2LHD0UNySgkJCahUKoOf4OBgRw/LKfz000/ceeedhIaGolKp+OKLLwyeVxSFhIQEQkND8fLyYsiQIRw8eNAxg3Wwuq7VxIkTq33Obr75ZscM1sHmz59P79698fHxITAwkNGjR3PkyBGDfeSzpWPKtZLPls67775Lt27d9IXE+vXrx3fffad/3tGfqQYRfKxdu5apU6cyc+ZMUlNTGTRoECNHjiQrK8vRQ3NKnTt3Jjc3V/9z4MABRw/JKVy8eJHu3buzfPnyGp9/4403WLJkCcuXLyclJYXg4GCGDRum71fUkNR1rQBuv/12g8/Zt99+W48jdB7bt29nypQp/PLLL2zZsoWKigqGDx/OxYsX9fvIZ0vHlGsF8tkCCAsLY8GCBezZs4c9e/bwl7/8hbvvvlsfYDj8M6U0AH369FEmTZpksK1jx47Kq6++6qAROa/Zs2cr3bt3d/QwnB6gbNiwQf9Yq9UqwcHByoIFC/TbSktLFT8/P+W9995zwAidx/XXSlEUZcKECcrdd9/tkPE4u/z8fAVQtm/friiKfLaMuf5aKYp8towJCAhQPvroI6f4TN3wdz7Ky8vZu3cvw4cPN9g+fPhwdu/e7aBRObdjx44RGhpKVFQUDzzwACdOnHD0kJxeZmYmeXl5Bp8zT09PBg8eLJ+zWmzbto3AwEDat2/PE088QX5+vqOH5BSKiooAaNasGSCfLWOuv1aV5LNlSKPRsGbNGi5evEi/fv2c4jN1wwcfBQUFaDQagoKCDLYHBQWRl5fnoFE5r759+/J///d/bNq0iQ8//JC8vDz69+/PuXPnHD00p1b5WZLPmWlGjhzJv//9b3788UcWL15MSkoKf/nLXygrK3P00BxKURSmTZvGwIED6dKlCyCfrdrUdK1APltVHThwAG9vbzw9PZk0aRIbNmwgJibGKT5TTtfV1l5UKpXBY0VRqm0Tur+4lbp27Uq/fv1o27Ytn3zyCdOmTXPgyFyDfM5MM3bsWP2fu3TpQq9evYiMjOSbb75hzJgxDhyZYz3zzDPs37+fnTt3VntOPluGartW8tm6pkOHDqSlpXH+/Hk+//xzJkyYwPbt2/XPO/IzdcPf+WjRogVqtbpaNJefn18t6hPVNW3alK5du3Ls2DFHD8WpVa4Iks+ZZUJCQoiMjGzQn7Nnn32WL7/8kq1btxIWFqbfLp+t6mq7VjVpyJ8tDw8P2rVrR69evZg/fz7du3dn2bJlTvGZuuGDDw8PD2666Sa2bNlisH3Lli3079/fQaNyHWVlZRw6dIiQkBBHD8WpRUVFERwcbPA5Ky8vZ/v27fI5M8G5c+fIzs5ukJ8zRVF45plnWL9+PT/++CNRUVEGz8tn65q6rlVNGvJn63qKolBWVuYcn6l6SWt1sDVr1iju7u7Kxx9/rKSnpytTp05VmjZtqpw8edLRQ3M6L774orJt2zblxIkTyi+//KL89a9/VXx8fORaKYpSUlKipKamKqmpqQqgLFmyRElNTVVOnTqlKIqiLFiwQPHz81PWr1+vHDhwQBk3bpwSEhKiFBcXO3jk9c/YtSopKVFefPFFZffu3UpmZqaydetWpV+/fkqrVq0a5LV6+umnFT8/P2Xbtm1Kbm6u/ufSpUv6feSzpVPXtZLP1jUzZsxQfvrpJyUzM1PZv3+/8tprrylubm7K5s2bFUVx/GeqQQQfiqIo77zzjhIZGal4eHgoPXv2NFiaJa4ZO3asEhISori7uyuhoaHKmDFjlIMHDzp6WE5h69atClDtZ8KECYqi6JZEzp49WwkODlY8PT2VW265RTlw4IBjB+0gxq7VpUuXlOHDhystW7ZU3N3dlYiICGXChAlKVlaWo4ftEDVdJ0BZuXKlfh/5bOnUda3ks3XNo48+qv/Oa9mypXLrrbfqAw9FcfxnSqUoilI/91iEEEIIIRpAzocQQgghnIsEH0IIIYSoVxJ8CCGEEKJeSfAhhBBCiHolwYcQQggh6pUEH0IIIYSoVxJ8CCGEEKJeSfAhhBBCiHolwYcQQggh6pUEH0IIIYSoVxJ8CCGEEKJeSfAhhBBCiHr1/9+pEcBMoWhEAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y_pred_plot_regr = regr.predict(x_plot.reshape(-1,1))\n", + "\n", + "plt.scatter(x, y, s=10, label='data')\n", + "plt.plot(x_plot, a*x_plot + b , c='y', label='actual')\n", + "\n", + "plt.plot(x_plot, y_pred_plot_regr, 'ro', label='scikit-learn-regressor')\n", + "plt.plot(x_plot, y_pred_plot, 'bx', label='my-regressor')\n", + "\n", + "plt.legend()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "ds", + "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": "3.9.16" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/assMath/ass2B/aakashks/2B-q2.ipynb b/assMath/ass2B/aakashks/2B-q2.ipynb new file mode 100644 index 00000000..33b2b212 --- /dev/null +++ b/assMath/ass2B/aakashks/2B-q2.ipynb @@ -0,0 +1,640 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 122, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import math\n", + "from scipy.stats import norm\n", + "import tqdm\n", + "import time\n", + "\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.metrics import mean_absolute_error , mean_squared_error\n", + "\n", + "np.random.seed(42)" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": {}, + "outputs": [], + "source": [ + "# method to reshape so that we don't write that again and again\n", + "def reshape(x: pd.Series) -> np.ndarray:\n", + " return x.values.reshape(-1,1)" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [], + "source": [ + "train = [pd.read_csv(f'./2B-dataset/train_set_{x}.csv') for x in ['A', 'B', 'C']]\n", + "test = [pd.read_csv(f'./2B-dataset/test_set_{x}.csv') for x in ['A', 'B', 'C']]" + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 125, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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IyEDv3r2lPunp6eVeKzMzEw4ODhWOS6FQQKFQVHY6RESyK1v+26KeGS4v837k5hDpMtRNPK5NRFQXlZQItC6zefeAqYQkoAqX3pUlhNC5/vpht2/fRkpKCpycnAAA7u7usLS0RFhYmNQnLS0NiYmJUlDy8PCAWq1GdHS01Of06dNQq9VSHyIiY/HX7bs6IcmjdTNcWT6MIamSHmzide/eHQEBAejatSs+//xzvX0ftYn3sIyMDGmDrqqbeEREdY0mv5Ah6X8qFZTmz5+PkydP4tq1a0hISMCCBQtw/PhxvPXWW8jNzcWcOXMQGRmJa9eu4fjx4xgxYgTs7Ozw+uuvAwCUSiUmTJiA2bNn48iRI4iLi8PYsWPRuXNn6Qu0HTp0gJeXFyZOnIioqChERUVh4sSJ8PHxeeKKd0REdUHkn7fRb9Vx6XhK/+fw/aReFT+Bnhg38YiIKi816x66lLnB+QOmFpKASl56l56eDj8/P6SlpUGpVKJLly4IDQ3FkCFDkJeXh4SEBHz33XfIzs6Gk5MTBgwYgB9++AE2NjbSa6xduxYWFhYYNWoU8vLyMGjQIAQGBkrlVwFg165dmDlzpvTFWl9fX6xfv76apkxEJL+dUX9h4Z5E6fjzN17Aqy88I+OI6q758+fD29sbLi4uyMnJQXBwMI4fP47Q0FDk5uZi0aJF+Nvf/gYnJydcu3YN8+fPr3ATr1mzZrC1tcWcOXMq3MR7cKn5pEmTuIlHREbj2MUMvBMYo7fNFEMSUA33UTJUvFcFERmq+SEJCDpdWtluz7SX8YJLE/kGVM1q+/13woQJOHLkiM4m3kcffSRt4r322muIi4vT2cT79NNPdYoq5Ofn44MPPkBQUJC0ibdhwwadPnfu3MHMmTOxd+9eAKWbeE2aNHnisXJtIiJDNGVnLA4mli9M89OU3nBvaRyVV6vy/sugRERUi7zWncBFVY50HDVvEByV9WUcUfXj+2/F+LshIkPyqKINyQHG9X3ZWr3hLBERPTl95b8vfuqF+pYs/01ERLXvXkEROv7rV71tpnqpXVlPXfWOiIgeTZNfqBOSrMzrITlgGEMSERHJQqXOZ0h6AgxKREQ16NqtuzoVhPo8b4dLvEcSERHJ5OjFdPQKOKK3jSFJFy+9IyKqIRFXbmHMN6el4+kDnsecoayQRkRE8vjq2BWs+jVJbxtDUnkMSkRENWBH5DV8/PM56fiLN7vBt6uzjCMiIiJTNuLLU0i4odbbxpCkH4MSEVE1m/vTHwiOSZGO905/GV1aNJFvQEREZLKEEHCdp7+yXaj/K2jvyAqcFWFQIiKqRkPWhONyRq50fHr+IDg0Nq7y30REVDfoq7j6AD9FejwGJSKialBUXILnFxzUOcfy30REJJf8wmK0/zhUbxtD0pNh1TsioqekzivUCUn1LVn+m4iI5JOZo2VIqgYMSkRETyH51l10XVxa/rtv2+a4+CnLfxMRkTwupGnQY9lhvW0MSZXDS++IiKro1OVbGLu1tPz3jIHPY7Yny38TEZE89v+RhmlBZ/W2MSRVHoMSEVEVbI+4hk/2lpb/Xj+mG3y6sPw3ERHJY1rQWez/I01vG0NS1TAoERFV0of//R3/OZMqHe+b3gedWyhlHBEREZmyVnP36z3PyqtPh0GJiKgSBq4+jquZd6Xj6PmDYM9FiIiIZPCoeyTxU6Snx6BERPQEWP6biIgMib516QGGpOrBqndERI9Rtvy3tZU5y38TEZFscvILGZJqAYMSEdEjXM3M1Sn/3b9dc5xb4sXy30REJIuUO/fQedEhvW0MSdWLl94REVXgxKVMvP1ttHQ8c1AbzBrSVsYRERGRKSt7W4qHMSRVPwYlIiI9tv2WjMX7zkvHX415EcO7OMk4IiIiMmUf/fcP/HAmRW8bQ1LNYFAiIipj9n9+x09nS8t//zKjD9yeYflvIiKSR0XlvxMWecKmvmUtj8Z0MCgRET1kwL+PI/nWQ+W/FwyCvQ3LfxMRkTwqCkn8FKnmMSgREYHlv4mIyLDwHknyY9U7IjJ56nu6ZVZt6luw/DcREckmv7CYIckAMCgRkUm7kpGLrktKy6wOam+PhEVDWf6biIhkoVLno/3HoXrbGJJqV6WC0saNG9GlSxc0btwYjRs3hoeHBw4eLN2FFUJg0aJFcHZ2RoMGDdC/f3+cO3dO5zW0Wi1mzJgBOzs7WFtbw9fXF6mpqTp9srKy4OfnB6VSCaVSCT8/P2RnZ1d9lkREeoRfysTgNeHS8T8Ht8XW8T1kHBEREZmyoxfT0SvgiN42hqTaV6mg1KJFC6xYsQJnzpzBmTNnMHDgQLz66qtSGFq5ciXWrFmD9evXIyYmBo6OjhgyZAhycnKk1/D390dISAiCg4Nx6tQp5ObmwsfHB8XFxVKfMWPGID4+HqGhoQgNDUV8fDz8/PyqacpERMDWU8kY99A9kr4e+yLeH9xGxhFRVXETj4iMwdhvTuPdwDPlzvdqbcuQJBMzIYR4mhewtbXFqlWr8O6778LZ2Rn+/v746KOPANxfeBwcHPDZZ5/hvffeg1qtRvPmzbFjxw6MHj0aAHDz5k24uLjgwIEDGDp0KC5cuICOHTsiKioKPXv2BABERUXBw8MDFy9eRLt27Z5oXBqNBkqlEmq1Go0bN36aKRKRkZn1Qzx2x92QjvfP7INOziz/XV1q+/133759MDc3x/PPPw8A2L59O1atWoW4uDh06tQJn332GZYtW4bAwEC0bdsWS5cuxYkTJ5CUlAQbGxsAwJQpU7Bv3z4EBgaiWbNmmD17Nu7cuYPY2FiYm9//rpq3tzdSU1OxefNmAMCkSZPQqlUr7Nu374nHyrWJiPSpqLJd0lIvKCz4fdnqUJX33yp/R6m4uBjBwcG4e/cuPDw8kJycDJVKBU9PT6mPQqFAv379EBERAQCIjY1FYWGhTh9nZ2e4ublJfSIjI6FUKqWQBAC9evWCUqmU+uij1Wqh0Wh0HkREZfVdeUwnJMUsGMyQVMeNGDECw4YNQ9u2bdG2bVssW7YMjRo1QlRUFIQQWLduHRYsWICRI0fCzc0N27dvx7179xAUFAQAUKvV2Lp1K1avXo3BgwejW7du2LlzJxISEnD48GEAwIULFxAaGopvvvkGHh4e8PDwwJYtW/DLL78gKSmpwrFxbSKix3lU+W+GJHlVOiglJCSgUaNGUCgUmDx5MkJCQtCxY0eoVCoAgIODg05/BwcHqU2lUsHKygpNmzZ9ZB97e/tyP9fe3l7qo09AQIB0OYRSqYSLi0tlp0ZERqywuASt5u7H9Tv3pHNJS73Q3EYh46iouhnaJh7XJiJ6FN4jybBVOii1a9cO8fHxiIqKwpQpUzBu3DicP39eai9bKUoI8djqUWX76Ov/uNeZN28e1Gq19EhJSXnSKRGRkcu+V4A2D5X/btLQEskBw7hTZ0QMdROPaxMR6VNcIhiS6oBK33DWyspKug68e/fuiImJweeffy59L0mlUsHJyUnqn5GRIS1Qjo6OKCgoQFZWls6ClJGRgd69e0t90tPTy/3czMzMcgvdwxQKBRQK7gwTka4rGTkYvOaEdDykowO2vN1dxhFRTXiwiZednY2ffvoJ48aNQ3h4aUVDuTbxuDYRUVnqvEJ0XXxIbxtDkmF56vsoCSGg1Wrh6uoKR0dHhIWFSW0FBQUIDw+XQpC7uzssLS11+qSlpSExMVHq4+HhAbVajejo0mpUp0+fhlqtlvoQET2J40kZOiFp9pC2DElG6sEmXvfu3REQEICuXbvi888/h6OjIwCU+9Snok28R/WpyiYeEdHDElLVDEl1SKWC0vz583Hy5Elcu3YNCQkJWLBgAY4fP4633noLZmZm8Pf3x/LlyxESEoLExESMHz8eDRs2xJgxYwAASqUSEyZMwOzZs3HkyBHExcVh7Nix6Ny5MwYPHgwA6NChA7y8vDBx4kRERUUhKioKEydOhI+PzxNXvCMi+ubkVYzfFiMdfz3WHTMGsfy3qeAmHhEZmsX7zmHE+lPlzo/zaMmQZKAqdeldeno6/Pz8kJaWBqVSiS5duiA0NBRDhgwBAHz44YfIy8vD1KlTkZWVhZ49e+LQoUNS+VUAWLt2LSwsLDBq1Cjk5eVh0KBBCAwMlMqvAsCuXbswc+ZM6Yu1vr6+WL9+fXXMl4hMgH9wHPbE35SOD8x8BR2dWYrZWM2fPx/e3t5wcXFBTk4OgoODcfz4cYSGhups4rVp0wZt2rTB8uXLK9zEa9asGWxtbTFnzpwKN/E2bdoE4H55cG7iEdGTqOj7SFeXD0O9eo++DJjk89T3UTJUvFcFkekRQqDPZ8dwIztPOndm4WDYNeJ3RGpTbb//TpgwAUeOHNHZxPvoo4+kTTwhBBYvXoxNmzZJm3hfffUV3NzcpNfIz8/HBx98gKCgIGkTb8OGDTpV6u7cuYOZM2di7969AEo38Zo0afLEY+XaRGR6WLTBMFTl/ZdBiYiMQmFxiU5lO4A36pML338rxt8NkWlhSDIctXrDWSIiQ5F1V7f8dzNrK5b/JiIi2QjB8t/GgEGJiOq0y+k56PZp6Zfwh3ZyQOzHQx5b+pmIiKgm5BUUw3XeAb1tDEl1S6Xvo0REZCiOXczAO4Glle0+GNoO0wY8L+OIiIjIlJW9d9/DGJLqHgYlIqqTNp/4E8sPXCw99nOHZydHGUdERESmLODABWw6cbXc+S/e7Abfrs4yjIieFoMSEdU5M76Pw77fS8t/H3z/FXRw4hfjiYhIHhV9Hyk5YBgvBa/DGJSIqM4QQqD3iqNIU+dL52IXDkYzlv8mIiKZsGiD8WJQIqI6oaCoBG0X6pb/vrTUG1YWrElDRETyYEgybvwLg4gM3p27BTohqbmNAskBwxiSiIhIFiz/bRr4VwYRGbRL6Tl48aHy38M6OyJmwWBe801ERLJQ3ytk+W8TwUvviMhgHbmQjgnbz0jHH3q1w9T+LP9NRETy2Pf7Tcz4Pk5vG0OS8WFQIiKD9HX4n1hxsLT895a3u2NIRwcZR0RERKasx7LDyMzRljv/42QP9GhlK8OIqKYxKBGRwZkWdBb7/0iTjn/174t2jjYyjoiIiEwZv49kmhiUiMhgCCHQK+AI0jWlO3ZnPx4CW2srGUdFRESmjCHJdDEoEZFBYPlvIiIyJEIIFm0wcfwLhIhkdztXqxOSHBqz/DcREcmnsLiEIYkYlIhIXhdVGrgvPSwdD+/ihNPzWf6biIjkcStXizYLDuptY0gyLbz0johkE3Y+HRO/Ky3/Pde7PSb3e07GERERkSn79ZwK7+2I1dvGkGR6GJSISBYbjl/BytAk6XjruO4Y1IHlv4mISB4vfhqGO3cLyp0/PX8QHBrXl2FEJDcGJSKqdVN2xuJgoko6PvTPvmjrwPLfREQkD1a2I30YlIio1ggh0GPZYdzKLd2xY/lvIiKSE0MSVYRBiYhqhb7y35eXecPSnDVliIhIHgxJ9Cj8C4WIalzZ8t/OyvpIDhjGkERERLIoLhEMSfRY/CuFiGrUhTTd8t++XZ0RMW8Qy38TEZEs0jX5eG4+75FEj8dL74ioxpQtszp/WHtM6svy30REJI/jSRkYvy1GbxtDEpVVqU+UAgIC0KNHD9jY2MDe3h6vvfYakpKSdPqMHz8eZmZmOo9evXrp9NFqtZgxYwbs7OxgbW0NX19fpKam6vTJysqCn58flEollEol/Pz8kJ2dXbVZElGt++rYFZ2QtG18D4YkIiKSzZA14XpD0oUlXgxJpFelglJ4eDimTZuGqKgohIWFoaioCJ6enrh7965OPy8vL6SlpUmPAwd0P9709/dHSEgIgoODcerUKeTm5sLHxwfFxcVSnzFjxiA+Ph6hoaEIDQ1FfHw8/Pz8nmKqRFRb3ttxBqt+Ld1ECftnXwxoby/jiMiYcROPiB6n1dz9uJyRW+78tRXD0cDKXIYRUV1gJoQQVX1yZmYm7O3tER4ejr59+wK4vxhlZ2djz549ep+jVqvRvHlz7NixA6NHjwYA3Lx5Ey4uLjhw4ACGDh2KCxcuoGPHjoiKikLPnj0BAFFRUfDw8MDFixfRrl27x45No9FAqVRCrVajcePGVZ0iEVWCEALuSw/r3LAv7uMhaMry3yaltt9/vby88MYbb6BHjx4oKirCggULkJCQgPPnz8Pa2hrA/bUpPT0d27Ztk55nZWUFW1tb6XjKlCnYt28fAgMD0axZM8yePRt37txBbGwszM3v/yHl7e2N1NRUbN68GQAwadIktGrVCvv27XuisXJtIqp9LNpAQNXef5/qO0pqtRoAdBYaADh+/Djs7e3RpEkT9OvXD8uWLYO9/f3d5NjYWBQWFsLT01Pq7+zsDDc3N0RERGDo0KGIjIyEUqmUQhIA9OrVC0qlEhEREXqDklarhVarlY41Gs3TTI2IKklbVIx2C0N1zrH8N9WG0FDd/+62bdsGe3t7xMbGSpt4AKBQKODo6Kj3NdRqNbZu3YodO3Zg8ODBAICdO3fCxcUFhw8fljbxQkNDdTbxtmzZAg8PDyQlJXFtIjJADEn0NKr8F4wQArNmzUKfPn3g5uYmnff29sauXbtw9OhRrF69GjExMRg4cKC0UKhUKlhZWaFp06Y6r+fg4ACVSiX1eRCsHmZvby/1KSsgIEC6FEKpVMLFxaWqUyOiSsrM0eqEpBZNG7D8N8nmcZt4bdu2xcSJE5GRkSG1PW4TD8BjN/H04dpEJI8Slv+malDlv2KmT5+OP/74A99//73O+dGjR2P48OFwc3PDiBEjcPDgQVy6dAn79+v/j/UBIYROuWB9pYPL9nnYvHnzoFarpUdKSkoVZkVElXX+pgY9lpWW/37tBWec+mggy3+TLAxtE49rE1HtU+cVojXLf1M1qNKldzNmzMDevXtx4sQJtGjR4pF9nZyc0LJlS1y+fBkA4OjoiIKCAmRlZeksSBkZGejdu7fUJz09vdxrZWZmwsHBQe/PUSgUUCgUVZkOEVVRaKIKk3eWVrZbOLwD/vFKaxlHRKbuwSbeqVOndM4/+E4sALi5uaF79+5o2bIl9u/fj5EjR1b4ek+7ice1iah2/XblFt765nS580M6OmDL291lGBHVZZX6REkIgenTp2P37t04evQoXF1dH/uc27dvIyUlBU5OTgAAd3d3WFpaIiwsTOqTlpaGxMREKSh5eHhArVYjOjpa6nP69Gmo1WqpDxHJ68sjl3VCUuA7PRiSSFYPNvGOHTv2VJt4D8vIyJA26KqyiUdEtefV9af0hqQ/lw9jSKIqqVRQmjZtGnbu3ImgoCDY2NhApVJBpVIhLy8PAJCbm4s5c+YgMjIS165dw/HjxzFixAjY2dnh9ddfBwAolUpMmDABs2fPxpEjRxAXF4exY8eic+fO0hdoO3ToAC8vL0ycOBFRUVGIiorCxIkT4ePj80QV74ioZv1j+xmsDrskHR+e1Rf927H8N8mDm3hE1Grufvyeqi53/tqK4TCvx0vBqWoqVR68oksLtm3bhvHjxyMvLw+vvfYa4uLikJ2dDScnJwwYMACffvqpzhdY8/Pz8cEHHyAoKAh5eXkYNGgQNmzYoNPnzp07mDlzJvbu3QsA8PX1xfr169GkSZMnGitLsBJVPyEEui4+BE1+kXQu/l9D0KQhy39Tqdp+/506dSqCgoLw888/62ymKZVKNGjQALm5uVi0aBH+9re/wcnJCdeuXcP8+fNx/fp1XLhwATY2NgDulwf/5ZdfEBgYCFtbW8yZMwe3b98uVx785s2b2LRpE4D75cFbtmzJ8uBEMmLRBnoSVXn/far7KBkyLkZE1Su/sBjtP2b5b3q82n7/5SYekWkSQsB1Hos20JNhUHoIFyOi6pOZo9WpbNeyWUOEfzBAxhGRIeP7b8X4uyGqHvo27x5gSCJ9qvL+y61gInqkczfVOiFpZLdnGJKIiEg2iTfUDElUK6pUHpyITMPBhDRM2XVWOv7YpyMm9Hn8F+WJiIhqwqpfL+KrY3+WO8/bU1BNYFAiIr3WHb6EdYcvS8fb330J/do2l3FERERkyioq2pAcMIw3OacawaBEROW8GxiDoxczpOMjs/vhueaNZBwRERGZMla2IzkwKBGRRAiBzosOIVdbWv779395QtnQUsZRERGRqWJlO5ITgxIRAdBfQejKMm9YsPw3ERHJoLhE4Ln5DEkkH/4FRETIyMnXCUmudta4tmI4QxIREclCk1/IkESy419BRCYu8YYaLy07Ih3/n3sLHJvTX74BERGRSUu8oUaXRYf0tjEkUW3ipXdEJmz/H2mYFlRa/vuTER3xzsss/01ERPL4969JWH/sSrnzQRN7ovdzdjKMiEwZgxKRiVoTdglfHCkt/71jwkt4pQ3LfxMRkTxY2Y4MDYMSkQkavy0ax5MypeOjs/uhNct/ExGRTBiSyBAxKBGZECEEOn3yK+4VFEvnfv/EE8oGLP9NRES1r6REoDWLNpCBYlAiMhEs/01ERIZE37r0AEMSGQL+hURkAjI0uuW/n2vO8t9ERCSfsreleBhDEhkK/pVEZOQSUtV4aXlp+e9R3VvgyOz+8g2IiIhMWnTyHZ3bUjyMIYkMCS+9IzJi+36/iRnfx0nHi307YVzvVvINiIiITNrCPQnYGXW93PmTHw6Ai21DGUZEVDEGJSIjtfpQEr48Wnovil3/6ImXn+c9KIiISB6sbEd1DYMSkRHy23oaJy/fko6PzekPVztrGUdERESmSggB13msbEd1D4MSkRERQqD9x6HQFpVI51j+m4iI5KItKka7hSzaQHUTgxKRkSgqLsGCkESdkMTy30REJJfsewV4YUmY3jaGJKoLGJSIjECutgjTg87ieFImAOClVrb4z2QPmUdFRESm6tqtu+j/7+P62xiSqI5gUCKq49I1+Xg3MAbnbmpQ37IevnijGzw7Oco9LCIiMlG/nlPhvR2xetsYkqguYVAiqsMupedg/LfRuKnORzNrK2wd3wMvuDSRe1hERGSipu6KxYEEVbnziYuHopGCf3ZS3cL/YonqqIg/b+G9HbHIyS9CaztrBL7zEp5txntQEBFR7WNlOzJGlfqWd0BAAHr06AEbGxvY29vjtddeQ1JSkk4fIQQWLVoEZ2dnNGjQAP3798e5c+d0+mi1WsyYMQN2dnawtraGr68vUlNTdfpkZWXBz88PSqUSSqUSfn5+yM7OrtosiYxMSFwqxn0bjZz8InRv2RQ/TenNkERERLIoLC5hSCKjVKmgFB4ejmnTpiEqKgphYWEoKiqCp6cn7t69K/VZuXIl1qxZg/Xr1yMmJgaOjo4YMmQIcnJypD7+/v4ICQlBcHAwTp06hdzcXPj4+KC4uFjqM2bMGMTHxyM0NBShoaGIj4+Hn59fNUyZqO4SQmD90cv45w+/o7BYYHhnJ+z8R080tbaSe2hEsuEmHpF8cvIL0WbBQb1tDElU15kJIURVn5yZmQl7e3uEh4ejb9++EELA2dkZ/v7++OijjwDcX3gcHBzw2Wef4b333oNarUbz5s2xY8cOjB49GgBw8+ZNuLi44MCBAxg6dCguXLiAjh07IioqCj179gQAREVFwcPDAxcvXkS7du0eOzaNRgOlUgm1Wo3GjRtXdYpEBqOwuAQf70lEcEwKAGBS39aY69Ue9eqZyTwyIl21/f7r5eWFN954Az169EBRUREWLFiAhIQEnD9/HtbW92+0/Nlnn2HZsmUIDAxE27ZtsXTpUpw4cQJJSUmwsbEBAEyZMgX79u1DYGAgmjVrhtmzZ+POnTuIjY2Fubk5AMDb2xupqanYvHkzAGDSpElo1aoV9u3b90Rj5dpExuRmdh56rziqt40hiQxNVd5/n+o7Smq1GgBga2sLAEhOToZKpYKnp6fUR6FQoF+/foiIiMB7772H2NhYFBYW6vRxdnaGm5sbIiIiMHToUERGRkKpVEohCQB69eoFpVKJiIgIvUFJq9VCq9VKxxqN5mmmRmRQcrVFmLrrLE5cykQ9M2CRbye87dFK7mERGYTQUN2bWW7btg329vaIjY2VNvHWrVuHBQsWYOTIkQCA7du3w8HBAUFBQdIm3tatW7Fjxw4MHjwYALBz5064uLjg8OHD0iZeaGiozibeli1b4OHhgaSkJK5NZFJ+T8nGq1/9preNIYmMRZXvRCmEwKxZs9CnTx+4ubkBAFSq+1VOHBwcdPo6ODhIbSqVClZWVmjatOkj+9jb25f7mfb29lKfsgICAqRLIZRKJVxcXKo6NSKDkq7Jx6ivI3HiUibqW9bDJr/uDElEj1DZTTwAj93EA/DYTTx9uDaRMdoZ9ZfekORqZ82QREalyp8oTZ8+HX/88QdOnTpVrs3MTPdSICFEuXNlle2jr/+jXmfevHmYNWuWdKzRaLggUZ2XpMrBO9vul/+2a2SFreN6oCvLfxNVqLKbeH/99ZfUpyY28bg2kbHpt+oY/rp9r9z5K8u8YWFe5f13IoNUpaA0Y8YM7N27FydOnECLFi2k846O929yqVKp4OTkJJ3PyMiQFihHR0cUFBQgKytLZ0HKyMhA7969pT7p6enlfm5mZma5he4BhUIBhUJRlekQGaSIK/8r/60tQuvm1ggcz/LfRI9jaJt4XJvIWBSXCDw3n5XtyLRUKvoLITB9+nTs3r0bR48ehaurq067q6srHB0dERYWJp0rKChAeHi4FILc3d1haWmp0yctLQ2JiYlSHw8PD6jVakRHR0t9Tp8+DbVaLfUhMma7z6Zi3LZo5GiL0KNVU+xm+W+ix3qwiXfs2LEKN/EeVtEm3qP6VHYTj8gY3CsoYkgik1SpoDRt2jTs3LkTQUFBsLGxgUqlgkqlQl5eHoD7O23+/v5Yvnw5QkJCkJiYiPHjx6Nhw4YYM2YMAECpVGLChAmYPXs2jhw5gri4OIwdOxadO3eWvkDboUMHeHl5YeLEiYiKikJUVBQmTpwIHx+fJ6p4R1RXCSHw5ZHLmPWf++W/fbo4YceEnmjSkOW/iSrCTTyimpORk4+O//pVbxtDEhm7Sl16t3HjRgBA//79dc5v27YN48ePBwB8+OGHyMvLw9SpU5GVlYWePXvi0KFDUvlVAFi7di0sLCwwatQo5OXlYdCgQQgMDJTKrwLArl27MHPmTOmLtb6+vli/fn1V5khUJxQWl2BhSCJ+OHO//Pd7/Vrjo6Es/030ONOmTUNQUBB+/vlnaRMPuL8x16BBA51NvDZt2qBNmzZYvnx5hZt4zZo1g62tLebMmVPhJt6mTZsA3C8Pzk08MlZJqhwMXXdCbxtDEpmCp7qPkiHjvSqoLsnJL8S0oDip/Pdi307wY2U7qqNq+/23ou8HPbyJJ4TA4sWLsWnTJmkT76uvvpIKPgBAfn4+PvjgAwQFBUmbeBs2bNApvnDnzh3MnDkTe/fuBVC6idekSZMnGivXJqorjlxIx4TtZ/S2MSRRXVSV918GJSKZqdT5eCcwBhfSNGhgaY4v3+yGwR35fQequ/j+WzH+bqguWLLvPL79Lbnc+bc9WmLJq256nkFk+Gr9hrNE9HQuqjR4Z1sM0v5X/vvb8T3QpUUTuYdFREQmqKREoHUFRRuSA4Y9tkokkbFhUCKSyW9XbmHy/8p/P9fcGoHvvAQXW1a2IyKi2pdfWIz2H4fqbeOldmSqGJSIZPBTbCo++ukPFJUIvNTKFpvfdmdlOyIiksWduwV48dMwvW0MSWTKGJSIapEQAl8cuYK1hy8BAEZ0dcaq/+uC+pbmj3kmERFR9buamYuBq8P1tjEkkaljUCKqJYXFJZi/OwE/xqYCACb3ew4fDm3H8t9ERCSLqKu38cbmKL1tDElEDEpEtSInvxBTd53Fycu3UM8MWPKqG8b2ain3sIiIyETtjPoLC/ck6m1jSCK6j0GJqIap1PkYvy0aF1U5aGBpjvVjumFQB5b/JiKi2ieEwLhtMThxKbNc29djX4SXm5MMoyIyTAxKRDVIt/y3At+O787y30REJIuCohK0XXhQbxvLfxOVx6BEVENOXb6FKTtZ/puIiOSnzitE18WH9LbxUjsi/RiUiGrAj2dSMG93wv3y36622OLXHcqGlnIPi4iITFDKnXt4ZeUxvW0MSUQVY1AiqkZCCHx+5DLWHb4MAPDt6oxVf+8ChQXLfxMRUe2Lu56F1zdE6G1jSCJ6NAYlompSWFyCebsT8N//lf+e2v85zPFk+W8iIpLHvt9vYsb3cXrbGJKIHo9BiagalC3//elrbnirJ8t/ExFR7RNCYOn+C9h6KllvO0MS0ZNhUCJ6SmnqPLyzLQYXVTloaHW//PfA9iz/TUREta+ouATPL9Bf2e6XGX3g9oyylkdEVHcxKBE9hfM3NXg3MAYqTT6a2yjw7bge6NyCixAREdW+ewVF6PivX/W28VMkospjUCKqopOXMzFl51nkaovwvH0jBL7TAy2asvw3ERHVvqy7Bej2aZjeNoYkoqphUCKqgv+cScH8/5X/7ulqi80s/01ERDK5kZ2Hl1cc1dvGkERUdQxKRJUghMC6w5fx+ZH75b9ffcEZK/+P5b+JiEgeF1UaeK07qbeNIYno6TAoET2hgqL75b9/Onu//Pe0Ac9h9hCW/yYiInmcvJwJv63RetsYkoieHoMS0RPQ5Bdiys5Y/HblNszrmeHTV90wpuezcg+LiIhM1Nfhf2LFwYt62xiSiKoHgxLRY9zMvl/+Oyn9fvnvr956EQPa2cs9LCIiMlHun4bh9t2CcuejFwyCvU19GUZEZJwYlIge4fxNDd4JjEa6RovmNgpsG9+D96AgIiLZtJq7X+95fopEVP0YlIgqcOJSJqbuul/+u419I2xj+W8iIpKJEAKu8w7obWNIIqoZDEpEevwnJgXzQhJQXCLQq7UtNvl1h7IBy38TEVHtKywuQZsFB/W2MSQR1RwGJaKHCCGwNuwSvjh6BQDw2gvO+Izlv4mISCbqe4XouuSQ3jaGJKKaVa+yTzhx4gRGjBgBZ2dnmJmZYc+ePTrt48ePh5mZmc6jV69eOn20Wi1mzJgBOzs7WFtbw9fXF6mpqTp9srKy4OfnB6VSCaVSCT8/P2RnZ1d6gkRPqqCoBLP/87sUkqYPeB5rR7/AkERk4LgukbFKvKFmSCKSUaWD0t27d9G1a1esX7++wj5eXl5IS0uTHgcO6F5T6+/vj5CQEAQHB+PUqVPIzc2Fj48PiouLpT5jxoxBfHw8QkNDERoaivj4ePj5+VV2uERPRJNfiPHborE77gbM65khYGRnzBnaDmZmvEcSkaHjukTGyD84Dj5fnip33tLcjCGJqJZU+tI7b29veHt7P7KPQqGAo6Oj3ja1Wo2tW7dix44dGDx4MABg586dcHFxweHDhzF06FBcuHABoaGhiIqKQs+ePQEAW7ZsgYeHB5KSktCuXbtyr6vVaqHVaqVjjUZT2amRiXq4/Le1lTnWs/w3UZ1iqOsSwLWJqqaiynZJS714lQNRLar0J0pP4vjx47C3t0fbtm0xceJEZGRkSG2xsbEoLCyEp6endM7Z2Rlubm6IiIgAAERGRkKpVEqLEQD06tULSqVS6lNWQECAdDmEUqmEi4tLTUyNjMy5m2q8vuE3JKXnwN5GgR/e82BIIjJCcqxLANcmqrxHlf9mSCKqXdUelLy9vbFr1y4cPXoUq1evRkxMDAYOHCjtqKlUKlhZWaFp06Y6z3NwcIBKpZL62NuX/2PV3t5e6lPWvHnzoFarpUdKSko1z4yMzfGkDIz6OhLpGi3aOjRCyLSXeY8kIiMk17oEcG2iJyeE4D2SiAxMtVe9Gz16tPTPbm5u6N69O1q2bIn9+/dj5MiRFT5PCKHzfRB93w0p2+dhCoUCCoXiKUZOpuSHmOuYH5KI4hIBj9bN8LWfO8t/ExkpudYlgGsTPRmW/yYyTDVy6d3DnJyc0LJlS1y+fBkA4OjoiIKCAmRlZen0y8jIgIODg9QnPT293GtlZmZKfYiqQgiB1YeS8NFP9++RNLLbM9j+7ksMSUQmhOsSGZI7dwsYkogMVI0Hpdu3byMlJQVOTk4AAHd3d1haWiIsLEzqk5aWhsTERPTu3RsA4OHhAbVajejoaKnP6dOnoVarpT5ElfWg/PeX/yv/PWPg81g9qiusLGr8fwMiMiBcl8hQRCffwYufhultY0gikl+lL73Lzc3FlStXpOPk5GTEx8fD1tYWtra2WLRoEf72t7/ByckJ165dw/z582FnZ4fXX38dAKBUKjFhwgTMnj0bzZo1g62tLebMmYPOnTtL1YY6dOgALy8vTJw4EZs2bQIATJo0CT4+PhVWFiJ6FHVeISbviEXk1dswr2eG5a+7YXSPZ+UeFhFVA65LVBfN+fF3/Dc2tdz5kd2ewZrRL9T+gIionEoHpTNnzmDAgAHS8axZswAA48aNw8aNG5GQkIDvvvsO2dnZcHJywoABA/DDDz/AxsZGes7atWthYWGBUaNGIS8vD4MGDUJgYCDMzUuruezatQszZ86UqhD5+vo+8h4ZRBW5kZ2Hd7ZF41J6LqytzLFhrDv6tW0u97CIqJpwXaK6pqKiDVeXD0O9erx/H5GhMBNCCLkHURM0Gg2USiXUajUaN24s93BIJok31Hg3MAYZOVrY2yiw7Z0e6OTMynZENYnvvxXj74ZY2Y5IHlV5/632qndEhuJYUgam7zqLuwXFaOvQCNveeQnPNGkg97CIiMgEFZcIPDf/gN42hiQiw8SgREbp++jrWLjnfvnv3s81w8axLP9NRETyyMkvROdFh/S2MSQRGS4GJTIqQgj8+1ASvjr2JwBg5IvPYMXILqxsR0REskhS5WDouhN62xiSiAwbgxIZjYKiEnz439+xJ/4mAGDmoDb45+A2j7wZJBERUU1ZE3YJXxy5rLeNIYnI8DEokVEoW/474PXOGNXDRe5hERGRiaqoaMOnr7nBr1fLWh4NEVUFgxLVealZ9/DOthhczmD5byIikl9FISk5YBivciCqQxiUqE5LvKHGO4ExyMzRwqGxAt+OZ/lvIiKSR35hMdp/HKq3jZfaEdU9DEpUZx27mIFpQWdxr6AY7R1t8O34HnBm+W8iIpLBuZtqDP/ilN42hiSiuolBieqkUV9HIvraHQBAn+ftsGHsi2hcn+W/iYio9l27dZchicgIMShRnVJSItD6oRv2De/shLWjX2D5byIikkXkn7fx5pYovW0MSUR1G4MS1Rm52iK4ffKrzrkv3+yGevX4xVgiIqp9G45fwcrQJL1tDElEdR+DEtUJKXfu4ZWVx6Tjl1rZ4j+TPWQcERERmbJ2Cw9CW1RS7vzuqb3x4rNNZRgREVU3BiUyeKev3sbozaWXNUzq2xrzh3WQcURERGSqhBBwnXdAbxs/RSIyLgxKZNCCo69j7u4E6XjNqK4Y+WILGUdERESmqqi4BM8vOKi3jSGJyPgwKJHB+tfPifgu8i/pmJczEBGRXO5qi9CpzPdkH2BIIjJODEpkkHy+PInEGxrpOGLuQN4jiYiIZHEjOw8vrziqt40hich4MSiRQSkuEXhuvu613+eXDEVDK/6nSkREtS/iyi2M+ea03jaGJCLjxr8+yWDk5Bei86JD0nE9M+DP5cNgZsby30REVPuWH7iAzSeu6m1jSCIyfgxKZBCu376HvqtKy3/3am2L4Eks/01ERPJoNXe/3vOR8wbCSclLwYlMAYMSyS7q6m288VD57/f6tcY8b5b/JiKi2ldSItB6Pst/ExGDEsls1+m/sCAkUTpeO7orXu/G8t9ERFT78guL0f7jUL1tDElEpodBiWSzICQBu05fl45DpvZGN5b/JiIiGdzO1cJ96WG9bQxJRKaJQYlk4f35SVxIKy3/zWu+iYhILpfSc+C59oTeNoYkItPFoES1Sl/57wtLvNDAylymERERkSnb/0capgWd1dvGkERk2hiUqNaULf9tUc8Ml5d5s/w3ERHJ4h/bz+DwhXS9bQxJRFSvsk84ceIERowYAWdnZ5iZmWHPnj067UIILFq0CM7OzmjQoAH69++Pc+fO6fTRarWYMWMG7OzsYG1tDV9fX6Smpur0ycrKgp+fH5RKJZRKJfz8/JCdnV3pCZJh+Ov2XZ2Q5NG6Ga7wHklEVA24LlFlCSHQau5+vSEpcfFQhiQiAlCFoHT37l107doV69ev19u+cuVKrFmzBuvXr0dMTAwcHR0xZMgQ5OTkSH38/f0REhKC4OBgnDp1Crm5ufDx8UFxcbHUZ8yYMYiPj0doaChCQ0MRHx8PPz+/KkyR5Bbx5y30W3VcOp7a/zl8P6mXfAMiIqPCdYkqo7C4BK7zKi7/3UjBi22I6H/EUwAgQkJCpOOSkhLh6OgoVqxYIZ3Lz88XSqVSfP3110IIIbKzs4WlpaUIDg6W+ty4cUPUq1dPhIaGCiGEOH/+vAAgoqKipD6RkZECgLh48aLeseTn5wu1Wi09UlJSBAChVqufZor0lHZEXhMtP/pFeuyJS5V7SERUw9RqtWzvv4a0Lj34WVybDIc6r0BnTXr4QUTGrSprU6U/UXqU5ORkqFQqeHp6SucUCgX69euHiIgIAEBsbCwKCwt1+jg7O8PNzU3qExkZCaVSiZ49e0p9evXqBaVSKfUpKyAgQLocQqlUwsXFpTqnRlUwb3cCFu4pvUfSz9NexqsvPCPjiIjI1Mi5LgFcmwxJyp176PLQJeAP46V2RKRPtQYllUoFAHBwcNA57+DgILWpVCpYWVmhadOmj+xjb29f7vXt7e2lPmXNmzcParVaeqSkpDz1fKjqvNadwPfRpfdIipo3CF1dmsg3ICIySXKuSwDXJkMRc+0OXll5TG8bQxIRVaRGLsQt+wV9IcRjv7Rfto++/o96HYVCAYVCUYXRUnXSV/774qdeqG/J8t9EJB851iWAa5Mh2HziTyw/cFFvG0MSET1KtX6i5OjoCADldtcyMjKk3TxHR0cUFBQgKyvrkX3S08tXosnMzCy3K0iGQ5NfqBOSrCzqITlgGEMSEcmG65Jp6/SvUL0hqVdrW4YkInqsag1Krq6ucHR0RFhYmHSuoKAA4eHh6N27NwDA3d0dlpaWOn3S0tKQmJgo9fHw8IBarUZ0dLTU5/Tp01Cr1VIfMizXbt3Vufb7lTZ2uLSU90giInlxXTJNxSX3y3/fLSgu13ZlmTeCJ3nIMCoiqmsqfeldbm4urly5Ih0nJycjPj4etra2ePbZZ+Hv74/ly5ejTZs2aNOmDZYvX46GDRtizJgxAAClUokJEyZg9uzZaNasGWxtbTFnzhx07twZgwcPBgB06NABXl5emDhxIjZt2gQAmDRpEnx8fNCuXbvqmDdVo4grtzDmm9PS8fQBz2POUP57IqLawXWJHnavoAgd//Wr3jZ+ikRElVHpoHTmzBkMGDBAOp41axYAYNy4cQgMDMSHH36IvLw8TJ06FVlZWejZsycOHToEGxsb6Tlr166FhYUFRo0ahby8PAwaNAiBgYEwNy+9RGvXrl2YOXOmVIXI19e3wntkkHx2RF7Dxz+X3rjxize7wbers4wjIiJTw3WJHsjIycdLy47obWNIIqLKMhNCCLkHURM0Gg2USiXUajUaN24s93CM0tyf/kBwTGkFp73TX0aXFk3kGxARGQS+/1aMv5uac/6mBsO+OKm3jSGJiKry/svbT1OVDFkTjssZudLx6fmD4NC4vowjIiIiU/Vz/A28Hxyvt40hiYiqikGJKqWouATPLzioc47lv4mISC7v7TiDX8+Vr0gIMCQR0dNhUKInps4rRNfFpZXt6lvWw4UlXqxsR0REtU4IAdd5B/S2BYzsjDdferaWR0RExoZBiZ5I8q27GPDv49Jx37bN8d27L8k3ICIiMlnaomK0Wxiqty05YBg38IioWjAo0WOdunwLY7eWlv+eMfB5zPZkOVwiIqp92fcK8MKSML1tvNSOiKoTgxI90vaIa/hkb2n57/VjusGnC8t/ExFR7buUngPPtSf0tjEkEVF1Y1CiCn3439/xnzOp0vG+6X3QuYVSxhEREZGp2vv7Tcz8Pk5vG0MSEdUEBiXSa+Dq47iaeVc6jp4/CPYs/01ERDKY9UM8dsfd0NvGkERENYVBiXSw/DcRERmKR1W2AxiSiKhmMSiRRH2vEF2XlJb/trYyR+LioaweREREta6wuARtymzcPfDTFA+4t7St5RERkalhUCIAwNXMXAxcHS4dD2jXHNveYflvIiKqfbdztXBfelhvGz9FIqLawqBEOHEpE29/Gy0dvz+oDf45pK2MIyIiIlOVkKrGiPWn9LYxJBFRbWJQMnHbfkvG4n3npeOvxryI4V2cZBwRERGZqpQ79xiSiMhgMCiZsDk//o7/xpaW//5lRh+4PcPy30REVPtu52rxyspjetsYkohIDgxKJqr/qmO4dvuedBy9YBDsbVj+m4iIal/iDTV8vuQnSURkWBiUTAzLfxMRkSH55uRVLN1/QW8bQxIRyYlByYSULf9tU98Cf3ziyfLfREQkiwH/Po7kW3fLnQ//oD9aNrOWYURERKUYlEzEn5m5GPRQ+e9B7e2xdXwPGUdERESmrNXc/XrP81MkIjIUDEomIPxSJsY9VP77n4Pb4v3BbWQcERERmaqSEoHW8w/obWNIIiJDwqBk5LaeSsanv5SW/9741ovw7szy30REVPtytUVw++RXvW0MSURkaBiUjNisH+KxO+6GdLx/Zh90cmb5byIiqn1/3b6LfquO621jSCIiQ8SgZKT6rjyG63dKy3/HLBiM5jYKGUdERESm6sSlTLz90CXgD2NIIiJDxaBkZAqLS9CmTPnvpKVeUFiw/DcREdW+tWGX8PmRy3rbGJKIyJAxKBmR7HsFeGFJmHTcpKEl4j4ewvLfREQki5dXHMWN7Lxy53//xBPKBpYyjIiI6MkxKBmJKxk5GLzmhHQ8uIMDvhnXXcYRERGRqRJCwHUeK9sRUd1Wr7pfcNGiRTAzM9N5ODo6Su1CCCxatAjOzs5o0KAB+vfvj3Pnzum8hlarxYwZM2BnZwdra2v4+voiNTW1uodqNI4nZeiEpNlD2jIkERE9hGtT7ckvLGZIIiKjUO1BCQA6deqEtLQ06ZGQkCC1rVy5EmvWrMH69esRExMDR0dHDBkyBDk5OVIff39/hISEIDg4GKdOnUJubi58fHxQXFxcE8Ot0745eRXjt8VIx1+PdceMQbxHEhFRWVybal66Jh/tPw7V28aQRER1TY1cemdhYaGzU/eAEALr1q3DggULMHLkSADA9u3b4eDggKCgILz33ntQq9XYunUrduzYgcGDBwMAdu7cCRcXFxw+fBhDhw7V+zO1Wi20Wq10rNFoamBmhsU/OA574m9KxwdmvoKOzo1lHBERkeGSY20yJXHXs/D6hgi9bQxJRFQX1cgnSpcvX4azszNcXV3xxhtv4OrVqwCA5ORkqFQqeHp6Sn0VCgX69euHiIj7b66xsbEoLCzU6ePs7Aw3Nzepjz4BAQFQKpXSw8XFpSamZjBeXnFUJySdWTiYIYmI6BHkWJu0Wi00Go3Owxh9H32dIYmIjE61B6WePXviu+++w6+//ootW7ZApVKhd+/euH37NlQqFQDAwcFB5zkODg5Sm0qlgpWVFZo2bVphH33mzZsHtVotPVJSUqp5ZoahsLgErebu16kilLTUC3aNeI8kIqKKyLU2mcIm3u6zqZi3O6Hc+eFdnBiSiKhOq/ZL77y9vaV/7ty5Mzw8PPDcc89h+/bt6NWrFwCUK1cthHhsCevH9VEoFFAojDssZN0tQLdPS8t/21pbIXbhYJb/JiJ6DLnWpnnz5mHWrFnSsUajMaqwdDAhDbP+83u585eXecPSvEYuWiEiqjU1/i5mbW2Nzp074/Lly9K14WV33zIyMqSdPEdHRxQUFCArK6vCPqbocnqOTkga2skBZ3mPJCKiKqmttUmhUKBx48Y6D2PRbckhTNl1ttz5ayuGMyQRkVGo8XcyrVaLCxcuwMnJCa6urnB0dERYWOkf/AUFBQgPD0fv3r0BAO7u7rC0tNTpk5aWhsTERKmPqTl2MQND1paW//5gaDts8mP5byKiquLa9HRazd2PrHuF5c7zUjsiMibVfundnDlzMGLECDz77LPIyMjA0qVLodFoMG7cOJiZmcHf3x/Lly9HmzZt0KZNGyxfvhwNGzbEmDFjAABKpRITJkzA7Nmz0axZM9ja2mLOnDno3LmzVGnIlGw+8SeWH7hYeuznDs9O5as2ERFRxbg2VZ9Wc/frPc+QRETGptqDUmpqKt58803cunULzZs3R69evRAVFYWWLVsCAD788EPk5eVh6tSpyMrKQs+ePXHo0CHY2NhIr7F27VpYWFhg1KhRyMvLw6BBgxAYGAhzc/PqHq5Bm/l9HPb+XlrZ7uD7r6CDk/FctkFEVFu4Nj29khKB1vN5I1kiMh1mQggh9yBqgkajgVKphFqtrnPXhAsh8PKKo7ipzpfOnVk4mJXtiKhOqMvvvzWtrv5ucvIL0XnRIb1tDElEVBdU5f23Rm44S1VXUFSCtgsP6py7tNQbVhb8YiwREdW+xBtq+Hx5qtz5daNfwGvdnpFhREREtYNByYDcuVuAFx+qbGfXSIGYBYNY2Y6IiGSx5lASvjh6pdz55IBhXJuIyOgxKBmIS+k58Hyosp23myM2jnWXcURERGTKWLSBiEwdg5IBOHIhHRO2n5GOP/Rqh6n9n5dxREREZMoYkoiIGJRk93X4n1hxsLT895a3u2NIR9O9sS4REclHCAHXeaxsR0QEMCjJalrQWez/I006DvV/Be0d604VJCIiMh7aomK0Wxiqt40hiYhMEYOSDIQQ6Ln8CDJytNK52IWD0Yzlv4mISAZXMnIweM0JvW0MSURkqhiUahnLfxMRkSGJu56F1zdElDv/0xQPuLe0lWFERESGgUGpFpUt/21vo8Dp+Sz/TURE8lgTdglfHLlc7jzLfxMRMSjVmiRVDoauK72sYXgXJ3w15kUZR0RERKaMle2IiB6NQakWhJ1Px8TvSst/z/Vuj8n9npNxREREZMoYkoiIHo9BqYZtOH4FK0OTpOOt47pjUAeW/yYiotrH8t9ERE+OQakGTd0ViwMJKun40D/7oq2DjYwjIiIiU5VfWIz2H7P8NxHRk2JQqgFCCPRYdgS3ckvLf5/9eAhsra1kHBUREZmq67fvoe+qY+XO2ygskLB4qAwjIiIyfAxK1Yzlv4mIyJDs/f0mZn4fV+581LxBcFTWl2FERER1A4NSNbqVq0X3pYelY2dlffw2dyBLrBIRkSze/jYaJy5lljvPS+2IiB6PQamaXFRp4LXupHQ8oqszvnyzm4wjIiIiU+b9+UlcSNOUO8+QRET0ZBiUqkHZ8t/zh7XHpL4s/01ERPJg+W8ioqfHoPSUvjp2Bat+LS3//e347hjYnuW/iYhIHgxJRETVg0HpKby34wx+PZcuHYf9sy/asPw3ERHJoKREoPV83iOJiKi6MChVgRAC7ksP487dAulc3MdD0JTlv4mISAbZ9wrwwpKwcueXvNoJb3u0qv0BEREZAQalStIWFaPdQt0b9l1e5g1Lc5b/JiKi2nf2ehZGbogod/7CEi80sDKXYURERMaBQakSypb/fqZJA/w2d6CMIyIiIlO25cRVLDtwodx5XmpHRPT0GJSe0PmbGgz7orT896svOOPzN1j+m4iI5DFyw284ez273HmGJCKi6sGg9ARCE1WYvDNWOl44vAP+8UprGUdERESmbHrQWYYkIqIaZvBfrNmwYQNcXV1Rv359uLu74+TJk49/UjX68shlnZC07Z0eDElERCZM7nUpJ78Qv/yRVu48QxIRUfUy6KD0ww8/wN/fHwsWLEBcXBxeeeUVeHt74/r167Xy8yd+dwarwy5Jx4dn9cWAdva18rOJiMjwyL0uZeZo0XnRIZ1zi0Z0ZEgiIqoBZkIIIfcgKtKzZ0+8+OKL2Lhxo3SuQ4cOeO211xAQEKDTV6vVQqvVSscajQYuLi5Qq9Vo3LhxpX/2v35OxHeRf0nH8f8agiYNWf6biOhxNBoNlEplld9/DVll1iV9nuZ3I4SA6zzd+yRxbSIiejJVef812E+UCgoKEBsbC09PT53znp6eiIgoXwY1ICAASqVSeri4uDzVz1ep86V/vrzMmwsREZGJq+y6BNzfxNNoNDqPqiou0d3XTA4YxrWJiKgGGWwxh1u3bqG4uBgODg465x0cHKBSqcr1nzdvHmbNmiUdP/hEqapWj+qKa7fuoXMLZZVfg4iIjEdl1yXg/ibe4sWLq+XnW5jXw4+TPZCh0WJ4F6dqeU0iIqqYwQalB8zMzHSOhRDlzgGAQqGAQqGotp9rU9+SIYmIiMp50nUJqP5NvB6tbKv8XCIiqhyDDUp2dnYwNzcvt0uXkZFRbjePiIioplVlXaruTTwiIqo9BvsdJSsrK7i7uyMsLEznfFhYGHr37i3TqIiIyFRxXSIiMi0G+4kSAMyaNQt+fn7o3r07PDw8sHnzZly/fh2TJ0+We2hERGSCuC4REZkOgw5Ko0ePxu3bt7FkyRKkpaXBzc0NBw4cQMuWLeUeGhERmSCuS0REpsOg76P0NIz5Ph5ERIaM778V4++GiEgeRnUfJSIiIiIiIrkwKBEREREREZXBoERERERERFQGgxIREREREVEZDEpERERERERlGHR58KfxoJifRqOReSRERKblwfuukRZVfSpcm4iI5FGVtclog1JOTg4AwMXFReaREBGZppycHCiVSrmHYVC4NhERyasya5PR3keppKQEN2/ehI2NDczMzCr9fI1GAxcXF6SkpJjkvS44f86f8+f8qzp/IQRycnLg7OyMevV4hffDuDY9Hc6f8+f8Of/aXJuM9hOlevXqoUWLFk/9Oo0bNzbJ/xgf4Pw5f86f868KfpKkH9em6sH5c/6cP+dfFZVdm7jVR0REREREVAaDEhERERERURkMShVQKBT45JNPoFAo5B6KLDh/zp/z5/xNdf6GzNT/3XD+nD/nz/nX5vyNtpgDERERERFRVfETJSIiIiIiojIYlIiIiIiIiMpgUCIiIiIiIiqDQYmIiIiIiKgMBiUiIiIiIqIyGJQqsGHDBri6uqJ+/fpwd3fHyZMn5R7SUwsICECPHj1gY2MDe3t7vPbaa0hKStLpI4TAokWL4OzsjAYNGqB///44d+6cTh+tVosZM2bAzs4O1tbW8PX1RWpqam1OpVoEBATAzMwM/v7+0jljn/+NGzcwduxYNGvWDA0bNsQLL7yA2NhYqd2Y519UVISFCxfC1dUVDRo0QOvWrbFkyRKUlJRIfYxp/idOnMCIESPg7OwMMzMz7NmzR6e9uuaalZUFPz8/KJVKKJVK+Pn5ITs7u4ZnZ5qMcV0CuDY9zBTXJYBrE9emUga3NgkqJzg4WFhaWootW7aI8+fPi/fff19YW1uLv/76S+6hPZWhQ4eKbdu2icTERBEfHy+GDx8unn32WZGbmyv1WbFihbCxsRE//fSTSEhIEKNHjxZOTk5Co9FIfSZPniyeeeYZERYWJs6ePSsGDBggunbtKoqKiuSYVpVER0eLVq1aiS5duoj3339fOm/M879z545o2bKlGD9+vDh9+rRITk4Whw8fFleuXJH6GPP8ly5dKpo1ayZ++eUXkZycLH788UfRqFEjsW7dOqmPMc3/wIEDYsGCBeKnn34SAERISIhOe3XN1cvLS7i5uYmIiAgREREh3NzchI+PT21N02QY67okBNemB0xxXRKCaxPXphCddkNbmxiU9HjppZfE5MmTdc61b99ezJ07V6YR1YyMjAwBQISHhwshhCgpKRGOjo5ixYoVUp/8/HyhVCrF119/LYQQIjs7W1haWorg4GCpz40bN0S9evVEaGho7U6ginJyckSbNm1EWFiY6Nevn7QgGfv8P/roI9GnT58K2419/sOHDxfvvvuuzrmRI0eKsWPHCiGMe/5lF6Pqmuv58+cFABEVFSX1iYyMFADExYsXa3hWpsVU1iUhTHNtMtV1SQiuTVybQqRjQ1ybeOldGQUFBYiNjYWnp6fOeU9PT0RERMg0qpqhVqsBALa2tgCA5ORkqFQqnbkrFAr069dPmntsbCwKCwt1+jg7O8PNza3O/H6mTZuG4cOHY/DgwTrnjX3+e/fuRffu3fH3v/8d9vb26NatG7Zs2SK1G/v8+/TpgyNHjuDSpUsAgN9//x2nTp3CsGHDABj//B9WXXONjIyEUqlEz549pT69evWCUqmsU78PQ2dK6xJgmmuTqa5LANcmrk2lDHFtsniaCRmjW7duobi4GA4ODjrnHRwcoFKpZBpV9RNCYNasWejTpw/c3NwAQJqfvrn/9ddfUh8rKys0bdq0XJ+68PsJDg7G2bNnERMTU67N2Od/9epVbNy4EbNmzcL8+fMRHR2NmTNnQqFQ4O233zb6+X/00UdQq9Vo3749zM3NUVxcjGXLluHNN98EYPz//h9WXXNVqVSwt7cv9/r29vZ16vdh6ExlXQJMc20y5XUJ4NrEtamUIa5NDEoVMDMz0zkWQpQ7V5dNnz4df/zxB06dOlWurSpzrwu/n5SUFLz//vs4dOgQ6tevX2E/Y51/SUkJunfvjuXLlwMAunXrhnPnzmHjxo14++23pX7GOv8ffvgBO3fuRFBQEDp16oT4+Hj4+/vD2dkZ48aNk/oZ6/z1qY656utfV38fhs7Y1yXA9NYmU1+XAK5NXJvKM6S1iZfelWFnZwdzc/NyiTMjI6Ncwq2rZsyYgb179+LYsWNo0aKFdN7R0REAHjl3R0dHFBQUICsrq8I+hio2NhYZGRlwd3eHhYUFLCwsEB4eji+++AIWFhbS+I11/k5OTujYsaPOuQ4dOuD69esAjP/f/wcffIC5c+fijTfeQOfOneHn54d//vOfCAgIAGD8839Ydc3V0dER6enp5V4/MzOzTv0+DJ0prEuAaa5Npr4uAVybuDaVMsS1iUGpDCsrK7i7uyMsLEznfFhYGHr37i3TqKqHEALTp0/H7t27cfToUbi6uuq0u7q6wtHRUWfuBQUFCA8Pl+bu7u4OS0tLnT5paWlITEw0+N/PoEGDkJCQgPj4eOnRvXt3vPXWW4iPj0fr1q2Nev4vv/xyuZK7ly5dQsuWLQEY/7//e/fuoV493bc8c3NzqQSrsc//YdU1Vw8PD6jVakRHR0t9Tp8+DbVaXad+H4bOmNclwLTXJlNflwCuTVybShnk2lSp0g8m4kEZ1q1bt4rz588Lf39/YW1tLa5duyb30J7KlClThFKpFMePHxdpaWnS4969e1KfFStWCKVSKXbv3i0SEhLEm2++qbcsY4sWLcThw4fF2bNnxcCBAw2yBOWTeLi6kBDGPf/o6GhhYWEhli1bJi5fvix27dolGjZsKHbu3Cn1Meb5jxs3TjzzzDNSCdbdu3cLOzs78eGHH0p9jGn+OTk5Ii4uTsTFxQkAYs2aNSIuLk4qJ11dc/Xy8hJdunQRkZGRIjIyUnTu3JnlwWuAsa5LQnBtKsuU1iUhuDZxbTLstYlBqQJfffWVaNmypbCyshIvvviiVKa0LgOg97Ft2zapT0lJifjkk0+Eo6OjUCgUom/fviIhIUHndfLy8sT06dOFra2taNCggfDx8RHXr1+v5dlUj7ILkrHPf9++fcLNzU0oFArRvn17sXnzZp12Y56/RqMR77//vnj22WdF/fr1RevWrcWCBQuEVquV+hjT/I8dO6b3//dx48YJIapvrrdv3xZvvfWWsLGxETY2NuKtt94SWVlZtTRL02KM65IQXJvKMrV1SQiuTVybDHdtMhNCiMp9BkVERERERGTc+B0lIiIiIiKiMhiUiIiIiIiIymBQIiIiIiIiKoNBiYiIiIiIqAwGJSIiIiIiojIYlIiIiIiIiMpgUCIiIiIiIiqDQYmIiIiIiKgMBiUiIiIiIqIyGJSIiIiIiIjKYFAiIiIiIiIq4/8B2LnnuVC5mSgAAAAASUVORK5CYII=", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 4))\n", + "plt.subplot(1,2,1)\n", + "plt.plot(train[0].x, train[0].y)\n", + "plt.subplot(1,2,2)\n", + "plt.plot(test[0].x, test[0].y)" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 3, figsize=(11, 4))\n", + "for i in range(3):\n", + " axes[i].plot(train[i].x, train[i].y)" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(100000, 1)" + ] + }, + "execution_count": 127, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X = train[0].x.values\n", + "X.reshape(-1,1).shape" + ] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": {}, + "outputs": [], + "source": [ + "reg = [LinearRegression(n_jobs=-1) for _ in range(3)]\n", + "\n", + "for i in range(3):\n", + " reg[i].fit(reshape(train[i].x), reshape(train[i].y))" + ] + }, + { + "cell_type": "code", + "execution_count": 129, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 [[3.87690246]] [1.59928255]\n", + "1 [[3.8769]] [-6.82121026e-13]\n", + "2 [[3.87691727]] [3.96302162]\n" + ] + } + ], + "source": [ + "for i in range(3):\n", + " print(i, reg[i].coef_, reg[i].intercept_)" + ] + }, + { + "cell_type": "code", + "execution_count": 130, + "metadata": {}, + "outputs": [], + "source": [ + "# error term by y_pred - a * x - b\n", + "\n", + "for i in range(3):\n", + " train[i]['error'] = train[i].y - reg[i].coef_[0] * train[i].x - reg[i].intercept_" + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 1947.3119691099018 5043882.595597386\n", + "1 1945.7114496596207 5037650.144272449\n", + "2 1949.68313834488 5053132.591569721\n" + ] + } + ], + "source": [ + "for i in range(3):\n", + " mse = mean_squared_error(train[i].y, train[i].error)\n", + " mae = mean_absolute_error(train[i].y, train[i].error)\n", + " print(i, mae, mse)" + ] + }, + { + "cell_type": "code", + "execution_count": 151, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1,3, figsize=(11,4))\n", + "\n", + "for i in range(3):\n", + " axes[i].scatter(train[i].y, train[i].error, alpha=0.1, s=0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1,3, figsize=(11,4))\n", + "\n", + "for i in range(3):\n", + " axes[i].hist2d(train[i].y, train[i].error, (40, 40), cmap='jet')" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1,3, figsize=(11,4))\n", + "\n", + "for i in range(3):\n", + " sns.kdeplot(train[i], x='error', ax=axes[i])" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "the error in training set A is likely from guassian distribution\n", + "error in C is likely from exponential distribution" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(3):\n", + " test[i]['error'] = test[i].y - reg[i].coef_[0] * test[i].x - reg[i].intercept_" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 1943.393755620297 5050585.82422067\n", + "1 1941.7932386608404 5044365.897018204\n", + "2 1945.7649098926358 5059817.348097435\n" + ] + } + ], + "source": [ + "for i in range(3):\n", + " mse = mean_squared_error(test[i].y, test[i].error)\n", + " mae = mean_absolute_error(test[i].y, test[i].error)\n", + " print(i, mae, mse)" + ] + }, + { + "cell_type": "code", + "execution_count": 155, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1,3, figsize=(11,4))\n", + "\n", + "for i in range(3):\n", + " axes[i].scatter(test[i].y, test[i].error, alpha=0.5, s=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1,3, figsize=(11,4))\n", + "\n", + "for i in range(3):\n", + " axes[i].hist2d(test[i].y, test[i].error, (40, 40), cmap='jet')" + ] + }, + { + "cell_type": "code", + "execution_count": 139, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1,3, figsize=(11,4))\n", + "\n", + "for i in range(3):\n", + " sns.kdeplot(test[i], x='error', ax=axes[i])" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "here A resembles exp dist and C resembles guassian" + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 140, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1,3, figsize=(11,4))\n", + "\n", + "for i in range(3):\n", + " sns.kdeplot(train[i], x='error', ax=axes[i], label='train_data')\n", + " sns.kdeplot(test[i], x='error', ax=axes[i], label='test_data')\n", + "\n", + "plt.legend()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "it can be concluded that the set B is from the actual distribution as the error term in both train and test data is consistently distributed \\\n", + "also the fact that the error term in B is the minimum with the error being in the order of 1e-12 strengthens the hypothesis" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1,3, figsize=(11,4))\n", + "\n", + "for i in range(3):\n", + " sns.histplot(test[i], x='error', ax=axes[i])" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "error term in test_A is approx exponential\n", + "\n", + "$$ f(x) = \\frac{1}{\\theta} e^{-\\frac{x}{\\theta}} $$\n", + "from MLE we know that $$ \\theta_{MLE} = \\bar{x} $$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "count 1000.000000\n", + "mean 2.471923\n", + "std 4.020381\n", + "min -1.596484\n", + "25% -0.413482\n", + "50% 1.229794\n", + "75% 3.873647\n", + "max 23.285666\n", + "Name: error, dtype: float64" + ] + }, + "execution_count": 142, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# exp parameters of A's error dist\n", + "# but we need to make sure that all data have error > 0\n", + "\n", + "test[0].error.describe()" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "metadata": {}, + "outputs": [], + "source": [ + "exp_data = test[0].error - test[0].error.min()" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.07\n" + ] + } + ], + "source": [ + "theta_mle = exp_data.mean()\n", + "print(f'{theta_mle:.2f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 145, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.histplot(exp_data, bins=100, stat='density')\n", + "\n", + "x_error_exp = np.linspace(0, 25, 100)\n", + "plt.plot(x_error_exp, np.exp(-x_error_exp/theta_mle)/theta_mle, color='red')" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "count 1000.000000\n", + "mean -2.374282\n", + "std 0.250285\n", + "min -3.211892\n", + "25% -2.541861\n", + "50% -2.378567\n", + "75% -2.204513\n", + "max -1.523240\n", + "Name: error, dtype: float64" + ] + }, + "execution_count": 146, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test[2].error.describe()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "hence for test_C\n", + "$$ error \\sim N(-2.37, 0.25) $$" + ] + }, + { + "cell_type": "code", + "execution_count": 147, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 147, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.histplot(test[2].error,bins=50, stat='density')\n", + "sns.kdeplot(test[2].error, color='yellow', label='sns_kde')\n", + "\n", + "x_error_norm = np.linspace(-3.5, -1, 100)\n", + "plt.plot(x_error_norm, norm.pdf(x_error_norm, loc=test[2].error.mean(), scale=test[2].error.std()), color='red', label='normal')\n", + "plt.legend()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "myEnv", + "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": "3.11.3" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/assMath/ass2B/aakashks/2B-q3.ipynb b/assMath/ass2B/aakashks/2B-q3.ipynb new file mode 100644 index 00000000..dfcb2e93 --- /dev/null +++ b/assMath/ass2B/aakashks/2B-q3.ipynb @@ -0,0 +1,491 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "import math\n", + "from scipy.stats import norm\n", + "import tqdm\n", + "import time\n", + "\n", + "np.random.seed(42)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Implement logistic regression from scratch.\n", + "\n", + "\n", + "$$\\textrm{log-likelihood, }\\ell(\\theta) = \\log L(\\theta) = \\sum_{i=1}^n \\left[ y^{(i)} \\log h_\\theta(x^{(i)}) + (1 - y^{(i)}) \\log (1 - h_\\theta(x^{(i)})) \\right]$$\n", + "\n", + "$$ \\mathbf{\\implies \\ell(\\theta)} = \\mathbf{Y}.log(\\mathbf{h_\\theta(X)}) + (1 - \\mathbf{Y}). log(\\mathbf{1 - h_\\theta(X)}) $$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 136, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 136, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# for simplicity the dimensions of the data , X is 100, 1 only\n", + "\n", + "# creating custom binary classification data\n", + "data_x = np.arange(0, 100)\n", + "X = np.column_stack([data_x, np.ones(data_x.shape)])\n", + "\n", + "# using the gaussian cdf to generate desired probabilities\n", + "probabilities = norm.cdf(data_x, loc=40, scale=5)\n", + "random_vals = np.random.random(data_x.shape)\n", + "\n", + "data_y = np.where(random_vals < probabilities, 1, 0)\n", + "\n", + "df = pd.DataFrame({'x': data_x, 'y': data_y})\n", + "sns.lmplot(x=\"x\", y=\"y\", data=df, logistic=True, ci=None, y_jitter=0.03)\n", + "plt.plot(data_x, probabilities, color='red', label='original')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": {}, + "outputs": [], + "source": [ + "# intial theta\n", + "# theta_initial = np.array([-10, -60], dtype='float64')\n", + "theta_initial = np.array([0, 0], dtype='float64')\n", + "\n", + "# writing the function to be maximised\n", + "def sigmoid(x):\n", + " return 1/(1 + np.exp(-x))\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "for gradient ascent\n", + "$$ \\theta : = \\theta + \\alpha \\nabla_\\theta \\ell (\\theta )$$\n", + "for stochastic gradient ascent\n", + "$$ \\theta_j : = \\theta_j + \\alpha \\big( y^{(i)} - h(x^{(i)}) \\big)x_j^{(i)} $$\n", + "\n", + "where $\\alpha$ is the learning rate\n", + "$\\theta$ in our case is of dimensions $(2,1)$" + ] + }, + { + "cell_type": "code", + "execution_count": 232, + "metadata": {}, + "outputs": [], + "source": [ + "# class of all optimizers\n", + "\n", + "class optimize:\n", + " def __init__(self, x, y):\n", + " \"\"\"\n", + " x and y should be 1d array of same size\n", + " \"\"\"\n", + " self.x = x\n", + " self.y = y\n", + " self.X = np.column_stack([self.x, np.ones(self.x.shape[0])])\n", + "\n", + " def _batch_gradient_ascent_update(self, theta, alpha): \n", + " h = sigmoid(np.dot(self.X, theta))\n", + " grad = np.dot(self.X.T, (self.y-h))\n", + "\n", + " return theta + alpha * grad\n", + " \n", + " def _fisher_update(self, theta, alpha, epsilon=1e-8):\n", + " p = np.vectorize(sigmoid)(self.X.dot(theta))\n", + " w = np.multiply(p, 1-p)\n", + " \n", + " W = np.diag(np.clip(w, epsilon, None)) # prevents any 0 value in the diagonal which can cause singular matrix error\n", + "\n", + " z = self.X.dot(theta) + alpha * np.linalg.inv(W).dot(self.y - p)\n", + " return np.linalg.inv(self.X.T @ W @ self.X) @ self.X.T @ W @ z\n", + " \n", + " def calculate_mse(self, theta):\n", + " loss_arr = np.square(self.y - sigmoid(np.dot(self.X, theta)))\n", + "\n", + " return loss_arr.sum()/loss_arr.shape[0]\n", + "\n", + " def _train_epochs(self, update_rule, theta_initial, learning_rate, epochs):\n", + " t0 = time.time()\n", + " theta = theta_initial.copy()\n", + "\n", + " # storing history for displaying graph\n", + " history_theta = np.zeros((epochs+1, theta.shape[0]))\n", + " history_theta[0] = theta\n", + "\n", + " history_loss = np.zeros(epochs+1,)\n", + " history_loss[0] = self.calculate_mse(theta)\n", + "\n", + " # to run through dataset fixed iterations\n", + "\n", + " for epoch in range(epochs):\n", + " theta = update_rule(theta, learning_rate)\n", + " \n", + " history_theta[epoch+1] = theta\n", + " history_loss[epoch+1] = self.calculate_mse(theta)\n", + "\n", + " \n", + " print(f'done in {time.time() - t0:.3f}s')\n", + " return {'theta': theta, 'history_theta': history_theta, 'history_loss': history_loss}\n", + " \n", + " def _train_epsilon(self, update_rule, theta_initial, learning_rate, epsilon):\n", + " t0 = time.time()\n", + " theta = theta_initial.copy()\n", + "\n", + " # storing history for displaying graph\n", + " history_theta = []\n", + " history_theta.append(theta)\n", + "\n", + " history_loss = []\n", + " history_loss.append(self.calculate_mse(theta))\n", + "\n", + " # to stop when theta converges\n", + " while True:\n", + " theta_new = update_rule(theta, learning_rate)\n", + " if np.linalg.norm(theta_new - theta) < epsilon:\n", + " break\n", + " theta = theta_new\n", + "\n", + " history_theta.append(theta)\n", + " history_loss.append(self.calculate_mse(theta)) \n", + "\n", + " print(f'done in {time.time() - t0:.3f}s')\n", + " return {'theta': theta, 'history_theta': history_theta, 'history_loss': history_loss}\n", + "\n", + " def batch_gradient_ascent(self, theta_initial, learning_rate, epochs, epsilon=None):\n", + " if epochs==None:\n", + " return self._train_epsilon(self._batch_gradient_ascent_update, theta_initial, learning_rate, epsilon)\n", + " else:\n", + " return self._train_epochs(self._batch_gradient_ascent_update, theta_initial, learning_rate, epochs)\n", + " \n", + " def fisher_scoring(self, theta_initial, learning_rate, epochs, epsilon=None):\n", + " if epochs==None:\n", + " return self._train_epsilon(self._fisher_update, theta_initial, learning_rate, epsilon)\n", + " else:\n", + " return self._train_epochs(self._fisher_update, theta_initial, learning_rate, epochs)\n", + " \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 238, + "metadata": {}, + "outputs": [], + "source": [ + "optimizer = optimize(data_x, data_y)" + ] + }, + { + "cell_type": "code", + "execution_count": 239, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "done in 27.313s\n" + ] + } + ], + "source": [ + "bgd = optimizer.batch_gradient_ascent(theta_initial, learning_rate=5e-4, epochs=1000000)" + ] + }, + { + "cell_type": "code", + "execution_count": 240, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'loss')" + ] + }, + "execution_count": 240, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(bgd['history_loss'])\n", + "plt.title('loss')" + ] + }, + { + "cell_type": "code", + "execution_count": 241, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'prediction')" + ] + }, + "execution_count": 241, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.lmplot(x=\"x\", y=\"y\", data=df, logistic=True, ci=None, y_jitter=0.03)\n", + "plt.plot(data_x, sigmoid(np.dot(X, bgd['theta'])), color='green', label='predicted')\n", + "plt.legend()\n", + "plt.title('prediction')" + ] + }, + { + "cell_type": "code", + "execution_count": 242, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'theta1(intercept)')" + ] + }, + "execution_count": 242, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(11, 3))\n", + "plt.subplot(1,2,1)\n", + "plt.plot(bgd['history_theta'][:, 0], color='red')\n", + "plt.xlabel('epochs')\n", + "plt.ylabel('theta0(slope)')\n", + "\n", + "\n", + "plt.subplot(1,2,2)\n", + "plt.plot(bgd['history_theta'][:, 1], color='green')\n", + "plt.xlabel('epochs')\n", + "plt.ylabel('theta1(intercept)')" + ] + }, + { + "cell_type": "code", + "execution_count": 243, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "done in 0.005s\n" + ] + } + ], + "source": [ + "fisher = optimizer.fisher_scoring(theta_initial, learning_rate=1, epochs=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 244, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'loss')" + ] + }, + "execution_count": 244, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(fisher['history_loss'])\n", + "plt.title('loss')" + ] + }, + { + "cell_type": "code", + "execution_count": 245, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'prediction')" + ] + }, + "execution_count": 245, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.lmplot(x=\"x\", y=\"y\", data=df, logistic=True, ci=None, y_jitter=0.03)\n", + "plt.plot(data_x, sigmoid(np.dot(X, fisher['theta'])), 'g', label='predicted')\n", + "plt.legend()\n", + "plt.title('prediction')" + ] + }, + { + "cell_type": "code", + "execution_count": 246, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'theta1(intercept)')" + ] + }, + "execution_count": 246, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(11, 3))\n", + "plt.subplot(1,2,1)\n", + "plt.plot(fisher['history_theta'][:, 0], color='red')\n", + "plt.xlabel('epochs')\n", + "plt.ylabel('theta0(slope)')\n", + "\n", + "\n", + "plt.subplot(1,2,2)\n", + "plt.plot(fisher['history_theta'][:, 1], color='green')\n", + "plt.xlabel('epochs')\n", + "plt.ylabel('theta1(intercept)')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "as we see newton-fisher's method took only 10 epochs and around 5 ms to converge, as compared to the batch gradient ascent which took around 1e6 epochs and 30 seconds\n", + "\n", + "also I observed that bgd was highly dependent on the learning rate whereas it has hardly any effect on the newton's method" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "myEnv", + "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": "3.11.3" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/assMath/ass2B/aakashks/2B-q4.ipynb b/assMath/ass2B/aakashks/2B-q4.ipynb new file mode 100644 index 00000000..7650b483 --- /dev/null +++ b/assMath/ass2B/aakashks/2B-q4.ipynb @@ -0,0 +1,48 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Q4\n", + "\n", + "A. flexible\n", + "- larger datasets would have complex patterns which need a more flexible model\n", + "- the variance of a flexible model will be much less for such a data\n", + "- inflexible model will have high bias\n", + "\n", + "B. inflexible\n", + "- in such a data flexible models are likely to overfit\n", + "- inflexible model will generalize well and not overfit\n", + "- flexible model will have high variance\n", + "\n", + "C. flexible\n", + "- non-linear data will need complex and flexible methods\n", + "- infexible models will have high bias" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "myEnv", + "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": "3.11.3" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/assMath/ass2B/readme.md b/assMath/ass2B/readme.md new file mode 100644 index 00000000..1be4f583 --- /dev/null +++ b/assMath/ass2B/readme.md @@ -0,0 +1,29 @@ +# Assignment 2B + +Q1: a) We usually estimate the mean of the distribution $p(y|x)$, why ?. + +b) In vanilla Linear Regression, we consider $p(y|x) = \mathcal{N}(y; \mu, \sigma)$ we usually take $\mu = w*x$ and $\sigma = I$. Code a vanilla linear regression under this setting. Discuss the effect of choice of sigma over final objective. Is parameterizing sigma really helpful? Explain. + +c) Consider any Exponential family distribution and create a regression model from that. Clearly state what you are trying to estimate. Obtain a loss function for it and generate a simple dataset corresponding to it. Train the corresponding regression model on the created dataset. + +**Note:** For this part you need to code your model from scratch. + + +Q2 : You are given 2 varibles x and y and corresponding to them you are given 3 different train sets and test sets. Their name is A, B, C. Out of these three one train set and one test set is from the actual data distribution without any errors. Train 3 different linear regression models using [this](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LinearRegression.html). Your task is to determine from the given datasets which set is from the actual distribution by assessing each model on each type of test set. For the other datasets find out how do the differ from the actual data distribution. Plot the error terms of these datasets and determine its distribution type and parameters. You might use scikitlearn's Mean Squared Error functions or Mean Absolute Error. Dataset can be found [here](https://drive.google.com/drive/folders/1MiN546HNZm6EKa1Mj3vP3ZeETHIZI3B0?usp=sharing). + +**Note:** The dataset whose files name is A in test set as well as train set may not correspond to the same data distribution. + + +Q3 : Implement logistic regression from scratch. Generate your custom toy dataset for the same using NumPy. Taking the log likelihood loss function $l(\theta$), use 2 iterative optimization algorithms, (a) Batch Gradient Descent and (b) Fisher scoring (Newton's method) for minimising the loss. Code both these algorithms from scratch too and derive important comparative conclusions from the 2 optimization techniques over the same training dataset (example- convergence speed, runtime complexity etc.) and represent them in any way you like. + +*Reading link for [Fisher scoring method](https://hua-zhou.github.io/teaching/biostatm280-2017spring/slides/18-newton/newton.html). You may also refer CS229 notes (topic 7) to read about this. +(**Please note:** Do not use any pre-defined Python class to code any part of the above question such as the ones in Sklearn. The solution should be a step-wise version coded by you representing the mathematical aspect of each step. You can, however use Sklearn for quantifying the comparative conclusions if you wish.) + +Q 4: For each of parts, indicate whether we would generally expect the performance of a flexible statistical learning method to be better or worse than an inflexible method. Justify your answer using concepts covered during the lecture and try to hit upon certain key-terms. Also, discuss the bias and variance tradeoff in each scenario. +a. The sample size n is extremely large, and the number of predictors p is small. +b. The number of predictors p is extremely large, and the number of observations n is small. +c. The relationship between the predictors and response is highly non-linear. + +**You have to submit your solutions in a Jupyter Notebook. For theretical questions ypu have to use markdown in the notebook itself. Explain things clearly and provide comments wherever you seem necessary.** + + diff --git a/assMath/ass2a/aakashks/2A-q6.ipynb b/assMath/ass2a/aakashks/2A-q6.ipynb new file mode 100644 index 00000000..231a8277 --- /dev/null +++ b/assMath/ass2a/aakashks/2A-q6.ipynb @@ -0,0 +1,343 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 188, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import seaborn as sns\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "from scipy.stats import norm\n", + "\n", + "from tqdm.notebook import trange, tqdm" + ] + }, + { + "cell_type": "code", + "execution_count": 189, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " x\n", + "count 200000.000000\n", + "mean 3.499169\n", + "std 2.217177\n", + "min -5.534819\n", + "25% 1.938795\n", + "50% 2.316471\n", + "75% 5.002645\n", + "max 14.743792" + ] + }, + "execution_count": 189, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pd.read_csv('./mixed_guassian_dataset.csv')\n", + "df.describe()" + ] + }, + { + "cell_type": "code", + "execution_count": 270, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1.95114156, 3.05669659, 7.37366354, ..., 8.80098378, 1.81541894,\n", + " 1.83684851])" + ] + }, + "execution_count": 270, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x = df.x.values\n", + "x" + ] + }, + { + "cell_type": "code", + "execution_count": 271, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 271, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + 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ADgg3gE31draU1LqaMasUA7Aywg1gU8HtF/pUliLcALAuwg1gU71dxK/53JYBxU2MuQFgXYQbwKZay1J9WOeGnhsAFka4AWwq0HPj6cWA4sDgY8pSAKyMcAPYkGEYqu/DOjdRbqaCA7A+wg1gQ/Vtxsz0pizlYRE/ADZAuAFsqG046d1U8JaeG/aWAmBhhBvAhgJlJZfToUgXKxQDGFoIN4ANBaeB92JHcKm1hMUifgCszPRws379emVkZMjr9SozM1M7duzo0XX//Oc/FRERoQsuuGBgGwhYUOsCfj0vSbU9n6ngAKzM1HCzZcsWLV++XKtWrdLu3bs1f/585eTkqLCwsNvrKioqdPPNN+uyyy4bpJYC1tKXrReazw8MKKYsBcC6TA03a9eu1eLFi7VkyRJNmTJF69atU2pqqjZs2NDtdbfffrtuuukmZWVlDVJLAWsJrnHTi5lSEuvcALAH08JNQ0OD8vPzlZ2d3e54dna2du3a1eV1Tz31lA4cOKB77rmnR69TX1+vysrKdjfA7ur6sCO41GZAMbOlAFiYaeGmrKxMPp9PSUlJ7Y4nJSWppKSk02s++eQT3XXXXXr66acVERHRo9dZs2aNYmNjg7fU1NR+tx0Id33ZekFqu84NZSkA1mX6gGKHw9HuvmEYHY5Jks/n00033aT77rtP55xzTo+ff+XKlaqoqAjeioqK+t1mINzV93FAcRS7ggOwgZ51fwyAhIQEuVyuDr00paWlHXpzJKmqqkpvv/22du/ere9+97uSJL/fL8MwFBERoRdffFGXXnpph+s8Ho88Hs/A/BBAmOrLjuBtz6fnBoCVmdZz43a7lZmZqby8vHbH8/LyNHfu3A7nx8TE6P3339eePXuCt6VLl2rSpEnas2ePZs+ePVhNB8JeX8tSTAUHYAem9dxIUm5urhYtWqSZM2cqKytLGzduVGFhoZYuXSqpuaR05MgRbd68WU6nU9OmTWt3fWJiorxeb4fjwFDX954bFvEDYH2mhpuFCxfqxIkTWr16tYqLizVt2jRt3bpV6enpkqTi4uIzrnkDoKM+r3PTMruqyW+oyedXRC+2bgCAcOEwDMMwuxGDqbKyUrGxsaqoqFBMTIzZzQEGxAMvfKgNrxzQN+dl6O6rz+3xdbUNPk25+wVJ0gf3XanhHlP//gGAoN78+82fZYANtZalejkVvM1eVMyYAmBVhBvAhvpalnI6HXJHBNa6IdwAsCbCDWBD9X3suZFadxJnOjgAqyLcADbU113BJSnKzUJ+AKyNcAPYULAs1cu9paQ2a92wvxQAiyLcADbU113BpbY7g1OWAmBNhBvAhmr7uIhf8zUMKAZgbYQbwIb6OltKkjwt17BKMQCr6lO4KSgoCHU7AIRQcLZURB/KUmyeCcDi+hRuzj77bC1YsEC/+c1vVFdXF+o2Aeinvu4tJbWdCk7PDQBr6lO4effddzVjxgz9+7//u5KTk3X77bfrzTffDHXbAPRRXVPfy1KtPTeEGwDW1KdwM23aNK1du1ZHjhzRU089pZKSEn3hC1/Q1KlTtXbtWh0/fjzU7QTQC33dfqHtNfVNlKUAWFO/BhRHRETo2muv1f/+7//qgQce0IEDB7RixQqNGzdON998s4qLi0PVTgA9ZBhGv8pSUfTcALC4foWbt99+W8uWLVNKSorWrl2rFStW6MCBA/rHP/6hI0eO6JprrglVOwH0UKPPkN9o/r4/i/gRbgBYVURfLlq7dq2eeuopffTRR7rqqqu0efNmXXXVVXI6m7NSRkaGHnvsMU2ePDmkjQVwZnVtVhbuyyJ+HmZLAbC4PoWbDRs26Jvf/KZuu+02JScnd3pOWlqannjiiX41DkDvBXpcHA7J06ep4MyWAmBtfQo3eXl5SktLC/bUBBiGoaKiIqWlpcntduuWW24JSSMB9Fx9S4+LJ8Iph8PR6+sDpSwW8QNgVX0aczNhwgSVlZV1OF5eXq6MjIx+NwpA3/VnMHHb6yhLAbCqPoUbwzA6PX769Gl5vd5+NQhA//RnR3Cp7VRwem4AWFOvylK5ubmSJIfDobvvvlvDhg0LPubz+fTGG2/oggsuCGkDAfROYEBxX9a4ab6O2VIArK1X4Wb37t2Smntu3n//fbnd7uBjbrdb06dP14oVK0LbQgC90v+yVGBAMWUpANbUq3Dz8ssvS5Juu+02PfLII4qJiRmQRgHou0Ao8fQ13ETQcwPA2vo0W+qpp54KdTsAhEhdP3YElySvuyXcMOYGgEX1ONxcd9112rRpk2JiYnTdddd1e+6zzz7b74YB6Jt+l6UimC0FwNp6HG5iY2ODa2bExsYOWIMA9E/rjuB9HVDMIn4ArK3H4aZtKYqyFBC+6kO2zg3hBoA19elPu9raWtXU1ATvHz58WOvWrdOLL74YsoYB6JvWMTd9CzeBXcEbfYaafJSmAFhPn8LNNddco82bN0uSTp06pVmzZunhhx/WNddcow0bNoS0gQB6J7iIXx/LUlHu1lAUKHEBgJX06dPvnXfe0fz58yVJf/jDH5ScnKzDhw9r8+bNevTRR0PaQAC9E+y5cfet56btZpu1DZSmAFhPn8JNTU2NRowYIUl68cUXdd1118npdGrOnDk6fPhwSBsIoHeCKxT3sSzlcDiCpSnG3QCwoj6Fm7PPPlvPPfecioqKtG3bNmVnZ0uSSktLWdgPMFlrWapv4UZqLU2xMzgAK+pTuLn77ru1YsUKjR8/XrNnz1ZWVpak5l6cGTNmhLSBAHqndZ2bvo25kVoHFddQlgJgQX1aofhrX/uavvCFL6i4uFjTp08PHr/ssst07bXXhqxxAHovpD03hBsAFtSncCNJycnJSk5Obnds1qxZ/W4QgP6p7+eu4JIYcwPA0voUbqqrq/XTn/5UL730kkpLS+X3t58uevDgwZA0DkDv9XedG6k13DDmBoAV9SncLFmyRK+++qoWLVqklJSU4LYMAMwXirKUl7IUAAvrU7j529/+pueff17z5s0LdXsA9FOg58bTr7JU87X03ACwoj59+o0aNUpxcXGhbguAEKjt595SkjTM3fx3Dz03AKyoT+HmRz/6ke6+++52+0sBCA/BslQ/xtx4GXMDwML6VJZ6+OGHdeDAASUlJWn8+PGKjIxs9/g777wTksYB6L36EK5zQ7gBYEV9Cjdf/epXQ9wMAKES3H6hX+vctIy5oSwFwIL6FG7uueeeULcDQAj4/IYafYakfoYb1rkBYGF97rc+deqUHn/8ca1cuVLl5eWSmstRR44cCVnjAPRO2zDSn7IUY24AWFmfem7ee+89XX755YqNjdWhQ4f0rW99S3FxcfrTn/6kw4cPa/PmzaFuJ4AeaBdu+jGgODBbir2lAFhRn/60y83N1a233qpPPvlEXq83eDwnJ0fbt28PWeMA9E5dU/NMKbfLKaez74trBsbcUJYCYEV9CjdvvfWWbr/99g7Hx44dq5KSkl491/r165WRkSGv16vMzEzt2LGjy3N37typefPmKT4+XlFRUZo8ebJ+/vOf97r9gF2FYgE/qc1sKXpuAFhQn8pSXq9XlZWVHY5/9NFHGj16dI+fZ8uWLVq+fLnWr1+vefPm6bHHHlNOTo727duntLS0DudHR0fru9/9rs4//3xFR0dr586duv322xUdHa1vf/vbfflRAFupC8ECfm2vZ8wNACvq059311xzjVavXq3GxkZJksPhUGFhoe666y5df/31PX6etWvXavHixVqyZImmTJmidevWKTU1VRs2bOj0/BkzZujrX/+6pk6dqvHjx+sb3/iGrrzyym57e4ChpHVfqRD13BBuAFhQnz4BH3roIR0/flyJiYmqra3VJZdcorPPPlsjRozQj3/84x49R0NDg/Lz85Wdnd3ueHZ2tnbt2tWj59i9e7d27dqlSy65pMtz6uvrVVlZ2e4G2FV9CHYEl6QoNs4EYGF9KkvFxMRo586devnll5Wfny+/368LL7xQl19+eY+fo6ysTD6fT0lJSe2OJyUlnXHczrhx43T8+HE1NTXp3nvv1ZIlS7o8d82aNbrvvvt63C7AykKxgJ8kDXPTcwPAunodbvx+vzZt2qRnn31Whw4dksPhUEZGhpKTk2UYhhyO3s3Q+Pz5PXmOHTt26PTp03r99dd111136eyzz9bXv/71Ts9duXKlcnNzg/crKyuVmpraqzYCVhGqspSXAcUALKxX4cYwDH3lK1/R1q1bNX36dJ133nkyDEP79+/XrbfeqmeffVbPPfdcj54rISFBLperQy9NaWlph96cz8vIyJAknXfeeTp27JjuvffeLsONx+ORx+PpUZsAqwvVgOLAmJv6Jr/8fqNf08oBYLD16s+7TZs2afv27XrppZe0e/duPfPMM/rd736nd999V3//+9/1j3/8o8cL+LndbmVmZiovL6/d8by8PM2dO7fHbTIMQ/X19b35MQDbCvTceEI05kZqLXUBgFX0qufmmWee0Q9/+EMtWLCgw2OXXnqp7rrrLj399NO6+eabe/R8ubm5WrRokWbOnKmsrCxt3LhRhYWFWrp0qaTmktKRI0eCgemXv/yl0tLSNHnyZEnN69489NBD+t73vtebHwOwrboQ7AgutR+QXNvgC65YDABW0KtPrPfee08PPvhgl4/n5OTo0Ucf7fHzLVy4UCdOnNDq1atVXFysadOmaevWrUpPT5ckFRcXq7CwMHi+3+/XypUrVVBQoIiICE2YMEE//elPO11QEBiKQjWg2Ol0yBPhVH2TXzUNPsWHonEAMEh6FW7Ky8u7HQ+TlJSkkydP9qoBy5Yt07Jlyzp9bNOmTe3uf+9736OXBuhGqAYUS80zpuqb/GzBAMByevUJ6PP5FBHRdR5yuVxqamrqd6MA9E2o1rmRWMgPgHX1erbUrbfe2uXsIwb2AuYK1WwpSfKykB8Ai+pVuLnlllvOeE5PBxMDCL1QlqXouQFgVb0KN0899dRAtQNACIRqQLHUGm4YcwPAavr/5x2AsBHKslRgrZsaylIALIZwA9hIa1mKAcUAhi7CDWAjoVrET2JncADWRbgBbKSuqaXnJoRTwRlzA8BqCDeAjdSHcio4ZSkAFkW4AWxkYMpS/n4/FwAMJsINYCMDM6CYVccBWAvhBrCR2hD23AxjQDEAiyLcADYSKEt5QjCgmDE3AKyKcAPYhGEYqm8aiLIUY24AWAvhBrCJQLCRQjuguI6yFACLIdwANtF2PRpWKAYwlBFuAJsIzJRyOR2KdPX/rR0ISDUNzJYCYC2EG8AmgmvcRITmbR2YLVXHmBsAFkO4AWyiril0qxNLbRbxoywFwGIIN4BNhHIBP6nNmBsGFAOwGMINYBOBEBLocemvtuvcGIYRkucEgMFAuAFsIjDwd1iIwk3bkNR2mjkAhDvCDWATNS09NyELN23KWzWUpgBYCOEGsInWnpuIkDyfy+mQu2XmFYOKAVgJ4QawiVD33EgMKgZgTYQbwCYGMtzU0XMDwEIIN4BNhLosJbHWDQBrItwANjGQPTen69mCAYB1EG4Am6ipD324Ge5t7gWqJtwAsBDCDWATNY2BcBO6stRwD+EGgPUQbgCbqKkP7SJ+Umu4qaoj3ACwDsINYBPBMTee0PXcRAd7bhhQDMA6CDeATQRnS4Vo40xJGhEYc9NAzw0A6yDcADYxELOlot2UpQBYD+EGsImBKEsxWwqAFRFuAJsI9a7gkjTcwzo3AKyHcAPYxECUpYZ7IiURbgBYC+EGsAGf31B9k19SaNe5iQ703DDmBoCFEG4AG6hpM5splD03zJYCYEWEG8AGAiUpp0PyRITubR1Y54aeGwBWQrgBbKB1vE2EHA5HyJ43sEIxY24AWAnhBrCB6gHYekFqDTf1TX41+vwhfW4AGCiEG8AGahtDP1NKai1LSax1A8A6CDeADbQtS4VSpMsZHMPDKsUArIJwA9jAQOwIHhAoTTFjCoBVmB5u1q9fr4yMDHm9XmVmZmrHjh1dnvvss8/qiiuu0OjRoxUTE6OsrCxt27ZtEFsLhKeB2HohILAFAzOmAFiFqeFmy5YtWr58uVatWqXdu3dr/vz5ysnJUWFhYafnb9++XVdccYW2bt2q/Px8LViwQFdffbV27949yC0HwstA7AgeENg8kxlTAKzC1HCzdu1aLV68WEuWLNGUKVO0bt06paamasOGDZ2ev27dOt1555266KKLNHHiRP3kJz/RxIkT9Ze//GWQWw6El9aemwEoSwU3z/SF/LkBYCCYFm4aGhqUn5+v7Ozsdsezs7O1a9euHj2H3+9XVVWV4uLiujynvr5elZWV7W6A3VQPwL5SAa1r3TSG/LkBYCCYFm7Kysrk8/mUlJTU7nhSUpJKSkp69BwPP/ywqqurdcMNN3R5zpo1axQbGxu8paam9qvdQDiqDe4IPgBjboLhhp4bANZg+oDiz6+mahhGj1ZYfeaZZ3Tvvfdqy5YtSkxM7PK8lStXqqKiIngrKirqd5uBcDOQPTdswQDAakL/Z14PJSQkyOVydeilKS0t7dCb83lbtmzR4sWL9fvf/16XX355t+d6PB55PJ5+txcIZ7UDGG7YPBOA1ZjWc+N2u5WZmam8vLx2x/Py8jR37twur3vmmWd066236re//a2+/OUvD3QzAUuoGcCyVGC2FIv4AbAK03puJCk3N1eLFi3SzJkzlZWVpY0bN6qwsFBLly6V1FxSOnLkiDZv3iypOdjcfPPNeuSRRzRnzpxgr09UVJRiY2NN+zkAs9UM5IDi4Gwpwg0AazA13CxcuFAnTpzQ6tWrVVxcrGnTpmnr1q1KT0+XJBUXF7db8+axxx5TU1OTvvOd7+g73/lO8Pgtt9yiTZs2DXbzgbAxUNsvSNLwlunlrHMDwCpMDTeStGzZMi1btqzTxz4fWF555ZWBbxBgQQO1K7gkDfdESiLcALAO02dLAei/gdoVXJKiAz03jLkBYBGEG8AGAqsHD0RZitlSAKyGcAPYQOsifqxzAwCEG8DiDMNQTePA7S3FxpkArIZwA1hcXaNfhtH8/UCWpeqb/Gr0+UP+/AAQaoQbwOJq2oyFiYocuLKUxFo3AKyBcANYXGCNG2+kUy7nmfdl661Il1OeiOaPCkpTAKyAcANY3EAu4BfQujM44QZA+CPcABZXPYAzpQLYggGAlRBuAIsbyB3BA9g8E4CVEG4Ai2vdemEAy1LBnhvfgL0GAIQK4QawuIHceiGgdcxN44C9BgCECuEGsLjBHVBMzw2A8Ee4ASxuIHcED2ALBgBWQrgBLC7QcxM9AFsvBMRENYebyjrKUgDCH+EGsLjK2ubAEeONHLDXiBvmliSVVzcM2GsAQKgQbgCLC/SmxEQNYLiJJtwAsA7CDWBxFcGem4EbUBw/nHADwDoIN4DFVdY2D/IdyJ6bUZSlAFgI4QawuMEoS8VHeyRJJ6rrB+w1ACBUCDeAxQXKUrEDOeampSxV1+gPbvcAAOGKcANY3GDMlop2u+R2NX9c0HsDINwRbgAL8/sNVdUHxtwM3IBih8PBjCkAlkG4ASysqr5JhtH8/UD23EhMBwdgHYQbwMICJSlPhFPeyIFboVgi3ACwDsINYGGDMZg4gHADwCoIN4CFDcY08ADCDQCrINwAFlY5CKsTB8QTbgBYBOEGsLDA6sSDUZYa1RJuThBuAIQ5wg1gYYNZlqLnBoBVEG4ACzNjQPFJwg2AMEe4ASxsMFYnDoijLAXAIgg3gIUFem4GcnXigEC4qahtVKPPP+CvBwB9RbgBLKyybvAGFI8c5pbD0fz9qZrGAX89AOgrwg1gYYNZlnI5HRo1jEHFAMIf4QawsMEcUCxJo4Y1vw47gwMIZ4QbwMIGcyq4JMVHeyTRcwMgvBFuAAurGMSylMR0cADWQLgBLKq+yae6xuZZS4NWlmI6OAALINwAFlXVMlNKkoYPwt5SEqsUA7AGwg1gUYGS1AhvhFxOx6C8JjuDA7ACwg1gUYM5DTwgfjjhBkD4I9wAFtW6OvHghZvRw5tnS5VU1A3aawJAbxFuAItqXZ14cMbbSFJ6QrQkqbC8Rk1swQAgTJkebtavX6+MjAx5vV5lZmZqx44dXZ5bXFysm266SZMmTZLT6dTy5csHr6FAmDGjLJUS45Unwqkmv6Ejp2oH7XUBoDdMDTdbtmzR8uXLtWrVKu3evVvz589XTk6OCgsLOz2/vr5eo0eP1qpVqzR9+vRBbi0QXgZ7dWJJcjodSo8fJkkqKKsetNcFgN4wNdysXbtWixcv1pIlSzRlyhStW7dOqamp2rBhQ6fnjx8/Xo888ohuvvlmxcbGDnJrgfAy2KsTB4yPby5NHSLcAAhTpoWbhoYG5efnKzs7u93x7Oxs7dq1y6RWAdZhRllKkjJaxt0cOlEzqK8LAD01eCMRP6esrEw+n09JSUntjiclJamkpCRkr1NfX6/6+tZN/iorK0P23ICZKmsHf0CxJI0Phht6bgCEJ9MHFDsc7RcfMwyjw7H+WLNmjWJjY4O31NTUkD03YCYzpoJLlKUAhD/Twk1CQoJcLleHXprS0tIOvTn9sXLlSlVUVARvRUVFIXtuwExlp5t7JONb1p4ZLIGyVNHJWjUyHRxAGDIt3LjdbmVmZiovL6/d8by8PM2dOzdkr+PxeBQTE9PuBtjBscrmhfSSYgY33CSO8Mgb6ZTPb+izk0wHBxB+TBtzI0m5ublatGiRZs6cqaysLG3cuFGFhYVaunSppOZelyNHjmjz5s3Ba/bs2SNJOn36tI4fP649e/bI7Xbr3HPPNeNHAExR1+jTyZrmslRyjHdQX9vpdGh8fLQ+LKnSobLqYE8OAIQLU8PNwoULdeLECa1evVrFxcWaNm2atm7dqvT0dEnNi/Z9fs2bGTNmBL/Pz8/Xb3/7W6Wnp+vQoUOD2XTAVKWVzSUpT4RzUNe5CQiEm4Kyai0Y9FcHgO6ZGm4kadmyZVq2bFmnj23atKnDMcMwBrhFQPg7VhUoSXlDOgC/p6wyY8rvN1RaVa/DJ6p1sqZRDT6/DMNQTFSkRg1za9SwSI2McismKsKU/44ABobp4QZA7wU2rhzsklRARkJ4rlJc2+DTnqJTevtQud48VK7dhad0ur7pjNcNc7uUHh+tjIRhGh8frYyEaE1OjtHEpOHyRroGoeUAQolwA1hQYDBx4iAPJg4ITgc3ueemoqZRbx4q11sttw+OVKjR17531+V0aOzIKI0e4ZHb1TyHoqK2URW1jTpZ06CaBp9qGnzaX1yp/cXt18FyOppnh01JidF5Y2N1UUacpo2JlTvC9FU0AHSDcANYUCDcmNdz0xxujpysVV2jb9B6N2oamrTjkzK9fvCE3jhYrv0llfp8pTopxqOLxsfpovFxmjl+lM5JGqFIV9dhpK7Rp6OnanXoRLUKymp0qKxaB46f1oclVSqvbtCB49U6cLxaf32vWJIU7XZpweREXXVeii6bkihPBD07QLgh3AAWVNIyoDg51pxwM3qERymxXhVX1Om1gye0YFLigL1Wk8+vnZ+W6f/2HNW2vSWqafC1e/ys0dGanREXDDTjRkX1avyMN9Kls0YP11mjh7c7bhiGjlfVa39JlfYdrdQ7hSf19qFynaxp1F/fK9Zf3ytWwnC3bpqVpn+bk64kk4ImgI4IN4AFtZalzPkH1eFw6NLJiXr6jUK9tP/YgISbj0qq9Lu3CvWXd4+q7HRD8Hha3DBdfE6CZmfEa/ZZcUocMTD/DRwOhxJjvEqM8eqSc0ZLah6g/O5np/TCByX6vz1HVVJZp0f/8anWv3JAV52XolvnjdeFaaMGpD0Aeo5wA1iQ2WUpSbr83CQ9/Uah/r6vVD+6JjTbptQ2+PT8+8V65s1C5R8+GTweH+3Wv5yfomtmjNWM1JGmzWxyOh2akTZKM9JGacWVk/Ti3mPatKtAbx06qT+/e1R/fveoLkwbqSXzz1L2uUmK6KYcBmDgEG4AizEMw/TZUpKUdVa8hrldKqms096jlZo2NrbPz3WyukH/s+Ogfv36YVXVNc9ucjkdumJKkhZelKovTEzodtyMGSJdTn35/BR9+fwUfXCkQk/985D+8u5RvVN4SsuefkfjRkXptnkZumHmOI0Y5J3bgaGOcANYTGVtk+qbmvd0Mmu2lNQ8VmX+xARt23tMf99/rE/hpq7Rpw2vHNDjOw6qumUsTWpclG68KE3/mjnOtLJbb00bG6uHb5iu/8iZpN+8dli/fv2wPjtZqx/9dZ/W5X2sG2el6ptfyFBKbJTZTQWGBMINYDElLSWpkcMiTV+D5bIpScFws/zyc3p17Uv7j+nev+xVUXnz/lTnpsTo+5dP1BVTkuR0WnNBvcQRXuVmT9KyBWfr2XeO6ImdB3XgeLX+Z0eBfrXrsP5tTpq+s+BsJQzyZqfAUEO4ASwmuGHmAA2k7Y1LJyfK4ZA+OFKpo6dqNWbkmXsmisprdN9f9urv+0slSSmxXq368hR9+bwU26wS7I106abZabrxolS9+slxbXjlgN4sKNdT/zykLW8V6bZ54/Xt+RMUO4xyFTAQwquIDeCMAj03SSZNA28rYbhHM9ObZwf98E/vy+fvenuUitpGPfDCh7p87av6+/5SRTgdWnrJBP099xL9y/ljbBNs2nI6HVowKVFbvj1Hv148S9PHxaqmwadfvnxA8x/8h57cWaBGn9/sZgK2Q7gBLOZYcDBxeJQ27rl6qryRTr3y0XE99OJHHR4vqajTz/M+1sUPvqwNrxxQfZNfWWfF64Xl83VXzmRFe+zfgexwODR/4mg99515emxRps5JGq7Kuiat/us+ffnRHdr1aZnZTQRsxf6fKoDNtN00MxxMGxurB64/X9//3R5teOWADh4/rYvGx6mitlG7C0/ptYMngj06ExOH6z++NFmXTUm0ZU/NmTgcDl05NVmXT0nSlreK9LNtH+rjY6d10+NvKGdaslZ9eYrGjRpmdjMByyPcABZTUtG8OnG4hBtJuuaCsfqwpEobXjmgbXuPadveY+0enzU+Tt/ISteXz0uRy6KDhUPJ5XToptlpuuq8ZP0872P9+vXD+tsHJXr14+O6K2eyvjE73bKDqoFwQLgBLKa0yvw1bjpz55WTdPmUJL1RcELvFp3SCG+kLkgdqTlnxensxBFmNy8sjRzm1n3XTNONs9J09/99oLcOndTd/7dXz79XrAe/dr7SWzYoBdA7hBvAYgIL+IVTz43UXHLJTB+lzHS2H+itKSkx2vLtLG1+7ZAeeOEjvVFQri+t26EfXDlJt84dTy8O0EsMKAYspKHJr7LTLWWp2PAYUIzQcDodunVehrYtv1hZZ8WrttGn1X/dpxsee00Hj582u3mApRBuAAv5tPS0/IYU443QaBaCs6W0+GF6esls3f/VaYp2u/T24ZPKeWSHNm4/0O1UewCtCDeAhewrrpQknTsmZkjONhoqnE6HvjEnXdvuuFjzJyaovsmvn2z9UNdv2KVPS6vMbh4Q9gg3gIXsO9oSblL6vkklrGPcqGHa/M1Z+ul152mEJ0J7ik7pqkd3av0rn6qJxf+ALhFuAAvZV1whqbnnBkODw+HQjbPStO2Oi/XFSaPV0OTXgy98pGvX71L+4XKzmweEJcINYBGGYbTpuSHcDDVjRkbpqVsv0kP/Ol0x3gi9f6RC1294TcueztfhE9VmNw8IK4QbwCKOnKpVZV2TIl0OnZ043OzmwAQOh0Nfyxynv//7JbrxolQ5HdLW90t0+dpXdf9f96miptHsJgJhgXADWESg12Zi4gi5I3jrDmWJI7z66fXn6/n/N1/zJyao0Wfo8Z0FuuShl/XkzgI1NDEeB0Mbn5CARbSdKQVIzYv/bf7mLD1120WamDhcp2oatfqv+3Tluu3atrdEhsHUcQxNhBvAIhhvg844HA4tmJSov31/vn587TQlDHeroKxat/86Xws3vs6gYwxJhBvAIui5QXciXE792+x0vbzii/rOggnyRDj1ZkG5rt/wmm576k19cKTC7CYCg4ZwA1hARW2jPjtZK6m5FAF0ZYQ3Uj+4crL+seKLWjgzVS6nQy9/dFz/8t87tezpfBYBxJBAuAEs4L3PTkmSxo6MUmxUpLmNgSWMHRmlB752vv6ee4m+Mn2MHC0zq7J/vl0rfv+uisprzG4iMGAIN4AF/OXdo5KkL5ydYHJLYDUZCdF69Osz9Lfvz1f2uUnyG9If8j/TpQ+/orv/7wOVVtaZ3UQg5Ag3QJira/Tpb++XSJKuvXCsya2BVU1OjtHGm2fque/MC04f3/zaYV38s5f14AsfqrKONXJgH4QbIMzl7TumqvomjR0ZpVnj48xuDizugtSR+vXi2XrmW3OUmT5KdY1+rX/lgC558GU9sbNA9U0+s5sI9BvhBghzf9p9RJL01Rlj5HSyEzhCI2tCvP6wNEsbF2Vqwuhonaxp1I/+uk+Xr31Vv3+7iJADSyPcAGGs7HS9Xv34uCTp2hnjTG4N7MbhcCh7arK2Lb9YP73uPCWO8KiovFY/+MN7+sIDL+u/X/pE5dUNZjcT6DXCDRDG/vftIvn8hs4fF8t+UhgwES6nbpyVpld+8EXdlTNZyTFeHa+q18N5HytrzUta+ex7rJMDS3EYQ2x97srKSsXGxqqiokIxMawXgvD1UUmVrv7FTjU0+fXg9efrhotSzW4ShohGn19b3y/W4zsK9H6bUHNuSoxunJWqa6aPVewwliTA4OrNv9+EGyAM1TX6dM0v/qmPjlXpi5NG66lbL5LDwXgbDC7DMPRmQbl+80ahtn1QogZf84acngincqYl64aLUjUnI56xYBgUhJtuEG4Q7uoafbrrj+/puT1HlTDcrReWX6yE4R6zm4Uh7mR1g57bc0Rb3irShyWtqxynxw/TDTNT9bXMcUqK8ZrYQtgd4aYbhBuEs8MnqrXs6Xe092ilHA7pyVsv0oJJiWY3CwgyDEPvfVah371VpL+8e1Sn65skSU6HtGBSohZelKoFkxMV6WJIJ0KLcNMNwg3CUUFZtf5nx0H9If8zNTT5FRft1tobpuuLBBuEsZqGJj3/XrG2vFWktw+fDB4fNSxSX5qWrC+fN0ZzzopTBEEHIUC46QbhBuHAMAx9dKxKr3x0XH/7oETvFp0KPpZ1VrzWLpyulNgo8xoI9NKnpaf1+7eL9Md3PlPZ6dbp4wnD3bri3GTNOStOszLi+P8afUa46QbhBmbw+w19Unpabxac0BsF5Xr9YLnKTtcHH3e0dOkvvWSCLho/isHDsKwmn19vFJTrr+8d1d8+KNGpmvbbOowdGaWLxo/S7LPiNeeseI2PH8b/7+gRwk03CDcYDE0+v/YerdSbBeV6o6Bcbx8u7/AhHxXp0kUZcbri3CRdeW6SEhmMCZtp9Pn1z0/LtP3jMr11qFx7j1bI/7l/cZJjvMqaEK+sCfH64qTRShzB+wCdI9x0g3CDUDMMQ8cq6/XBkQq9f6RC7xSe1DuHT6q6of3y9cPcLmWmj9JF4+M0OyNOF6SNlCfCZVKrgcF3ur5JewpP6c2CE3q9oFx7Ck8Fp5cHTE8dqSumJOqyKUmanDyCXh0EEW66QbhBfzT5/PrsZK0+LKnS3qPNYeaDI5XtSkwBMd4IzcqIa7nFa+qYGGaQAG3UNvj0TuFJvX7whLZ/fFzvftZ+FeSE4R7NTB+l81NjdVZCtMYnRGt8fLS8kfxRMBRZKtysX79eP/vZz1RcXKypU6dq3bp1mj9/fpfnv/rqq8rNzdXevXs1ZswY3XnnnVq6dGmPX49wgzOpqmtUcUWdjpyq1dFTtTpyslYFZdU6cPy0DpXVdPhLU2qeBjsxcYSmjY3V+eNiNSsjTpOSRrC4GdALpZV1eunDUr20/5h2flqmusaO7zVJSon1atyoKI0Z2XobO9Ib/D7Gy+rJdtSbf78jBqlNndqyZYuWL1+u9evXa968eXrssceUk5Ojffv2KS0trcP5BQUFuuqqq/Stb31Lv/nNb/TPf/5Ty5Yt0+jRo3X99deb8BPACpp8flXVNamyrlGnahp1vKpex0/X63hVvcpavrY9VtPQ/W7I3kinJowerqljYnTe2FhNHRurKckxinLz1yTQH4kxXn19Vpq+PitNdY0+fXCkQm8fPqkPiytVcKJGBcdPq7KuScUVdSquqJN0stPnGe6J0Jg2YSdxhEdx0W6NGuYOfh0VHalRw9z0AtmUqT03s2fP1oUXXqgNGzYEj02ZMkVf/epXtWbNmg7n/8d//If+/Oc/a//+/cFjS5cu1bvvvqvXXnutR69Jz425DMOQz2+oyW/I3/J9u5thqMnX/FiT31B9o191TT7VNfiavzb6VdvyfW2DT/VNzcGlqq5RlYGvtY3BMFNV13TGsNKZ2KjI5g/GWK9SRno1Pj5aExKH6+zRwzV2ZBQ9MoAJDMPQyZpGFZRV6+ipWhVX1OroqdZe1qOnanXycwP3z2SY29UaeqLdio2KVFSkU1GRLnnb3KIine3ue1vuR7qcinQ5FOFs+epyKsLpUKTLqQiXQ5HO5q+B7/ns6DtL9Nw0NDQoPz9fd911V7vj2dnZ2rVrV6fXvPbaa8rOzm537Morr9QTTzyhxsZGRUZ27Iqsr69XfX3reIiKiuaabmVlZX9/hHZOVjfo/z2zW5IUSIuB3Nh6v/X84LddnGO0ntHp9W2fv/2x9te33u94XWsbznxOV8/7+e99fr98/pavgfBiNE+F9vmNDjMlBlOU26kYb6QShnuUMNzd8tWjhBFuxUd7FN/mWLSnq7dGk06fruriMQADLULSxFEuTRw1XNLwDo/XNDT37ByrrFPxqVoVn6rTiZoGnapp0MnqRp2qbf5aUduoJr+h0/XS6SqpaJDa73BIEU6nnM7mcrbL4ZCj5avT4ZDT2fLVoeD3LmfL/Zbvm5+n85DU9nDbMxxt7nV1TtsHHJ0f/tzxzs+XpJHRkfrvr1/YaRv7KvDvdk/6ZEwLN2VlZfL5fEpKSmp3PCkpSSUlJZ1eU1JS0un5TU1NKisrU0pKSodr1qxZo/vuu6/D8dRUdlgGAGCgbO75cNheqaqqUmxsbLfnmDrmRuqYPg3D6HbqX2fnd3Y8YOXKlcrNzQ3e9/v9Ki8vV3x8vKWmGFZWVio1NVVFRUWU08IYv6fwx+8o/PE7Cn9m/I4Mw1BVVZXGjBlzxnNNCzcJCQlyuVwdemlKS0s79M4EJCcnd3p+RESE4uPjO73G4/HI42m/o/LIkSP73nCTxcTE8Ga3AH5P4Y/fUfjjdxT+Bvt3dKYemwDTFt1wu93KzMxUXl5eu+N5eXmaO3dup9dkZWV1OP/FF1/UzJkzOx1vAwAAhh5TVxTLzc3V448/rieffFL79+/XHXfcocLCwuC6NStXrtTNN98cPH/p0qU6fPiwcnNztX//fj355JN64okntGLFCrN+BAAAEGZMHXOzcOFCnThxQqtXr1ZxcbGmTZumrVu3Kj09XZJUXFyswsLC4PkZGRnaunWr7rjjDv3yl7/UmDFj9Oijjw6JNW48Ho/uueeeDiU2hBd+T+GP31H443cU/sL9d2T6CsUAAAChxEY3AADAVgg3AADAVgg3AADAVgg3AADAVgg3FjV+/Hg5HI52t8/v04XBtX79emVkZMjr9SozM1M7duwwu0loce+993Z4vyQnJ5vdrCFv+/btuvrqqzVmzBg5HA4999xz7R43DEP33nuvxowZo6ioKH3xi1/U3r17zWnsEHWm39Gtt97a4b01Z84ccxrbBuHGwgJT6AO3//zP/zS7SUPWli1btHz5cq1atUq7d+/W/PnzlZOT024pA5hr6tSp7d4v77//vtlNGvKqq6s1ffp0/eIXv+j08QcffFBr167VL37xC7311ltKTk7WFVdcoaoqNq8dLGf6HUnSl770pXbvra1btw5iCztn+t5S6LsRI0bw12eYWLt2rRYvXqwlS5ZIktatW6dt27Zpw4YNWrNmjcmtgyRFRETwfgkzOTk5ysnJ6fQxwzC0bt06rVq1Stddd50k6Ve/+pWSkpL029/+VrfffvtgNnXI6u53FODxeMLuvUXPjYU98MADio+P1wUXXKAf//jHamhoMLtJQ1JDQ4Py8/OVnZ3d7nh2drZ27dplUqvweZ988onGjBmjjIwM3XjjjTp48KDZTUI3CgoKVFJS0u595fF4dMkll/C+CjOvvPKKEhMTdc455+hb3/qWSktLzW4SPTdW9f3vf18XXnihRo0apTfffFMrV65UQUGBHn/8cbObNuSUlZXJ5/N12PA1KSmpw0avMMfs2bO1efNmnXPOOTp27Jjuv/9+zZ07V3v37u1y012YK/De6ex9dfjwYTOahE7k5OToX//1X5Wenq6CggL913/9ly699FLl5+ebunox4SaM3Hvvvbrvvvu6Peett97SzJkzdccddwSPnX/++Ro1apS+9rWvBXtzMPgcDke7+4ZhdDgGc7TtVj/vvPOUlZWlCRMm6Fe/+pVyc3NNbBnOhPdVeFu4cGHw+2nTpmnmzJlKT0/X888/HywnmoFwE0a++93v6sYbb+z2nPHjx3d6PDA6/dNPPyXcDLKEhAS5XK4OvTSlpaUd/upEeIiOjtZ5552nTz75xOymoAuBMRwlJSVKSUkJHud9Fd5SUlKUnp5u+nuLcBNGEhISlJCQ0Kdrd+/eLUntPgQwONxutzIzM5WXl6drr702eDwvL0/XXHONiS1DV+rr67V//37Nnz/f7KagCxkZGUpOTlZeXp5mzJghqXl826uvvqoHHnjA5NahKydOnFBRUZHp/xYRbizotdde0+uvv64FCxYoNjZWb731lu644w595StfUVpamtnNG5Jyc3O1aNEizZw5U1lZWdq4caMKCwu1dOlSs5sGSStWrNDVV1+ttLQ0lZaW6v7771dlZaVuueUWs5s2pJ0+fVqffvpp8H5BQYH27NmjuLg4paWlafny5frJT36iiRMnauLEifrJT36iYcOG6aabbjKx1UNLd7+juLg43Xvvvbr++uuVkpKiQ4cO6Yc//KESEhLa/aFnCgOWk5+fb8yePduIjY01vF6vMWnSJOOee+4xqqurzW7akPbLX/7SSE9PN9xut3HhhRcar776qtlNQouFCxcaKSkpRmRkpDFmzBjjuuuuM/bu3Wt2s4a8l19+2ZDU4XbLLbcYhmEYfr/fuOeee4zk5GTD4/EYF198sfH++++b2+ghprvfUU1NjZGdnW2MHj3aiIyMNNLS0oxbbrnFKCwsNLvZhsMwDMOsYAUAABBqrHMDAABshXADAABshXADAABshXADAABshXADAABshXADAABshXADAABshXADAABshXADAABshXADAABshXADAABshXADAABs5f8DlmSutcG9EbkAAAAASUVORK5CYII=", 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.histplot(x, bins=1000, alpha=0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 280, + "metadata": {}, + "outputs": [], + "source": [ + "def expectation_step(mu1, mu2, sigma1, sigma2):\n", + " p1 = norm.pdf(x, loc=mu1, scale=sigma1)\n", + " p2 = norm.pdf(x, loc=mu2, scale=sigma2)\n", + "\n", + " return np.where(p1 >= p2, 1, 2)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 283, + "metadata": {}, + "outputs": [], + "source": [ + "def maximization_step(y, mu1, mu2, sigma1, sigma2):\n", + " x1 = x[y==1]\n", + " x2 = x[y==2]\n", + "\n", + " return np.mean(x1), np.mean(x2), np.std(x1), np.std(x2)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 286, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "55934a6e036543d886e05640fa4d4e8a", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 4, figsize=(12, 4))\n", + "axes[0].plot(history['mu1'])\n", + "axes[1].plot(history['mu2'])\n", + "axes[2].plot(history['sigma1'])\n", + "axes[3].plot(history['sigma2'])" + ] + }, + { + "cell_type": "code", + "execution_count": 296, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 296, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(x, bins=100, density=True, alpha=0.5, label='Original Data')\n", + "x_axis = np.linspace(-5, 15, 100)\n", + "\n", + "plt.plot(x_axis, norm.pdf(x_axis, loc=mu1, scale=sigma1), 'r', label='D1')\n", + "plt.plot(x_axis, norm.pdf(x_axis, loc=mu2, scale=sigma2), 'b', label='D2')\n", + "plt.ylim(bottom=0)\n", + "plt.legend()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "ds", + "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": "3.9.16" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/assMath/ass2a/aakashks/2A.ipynb b/assMath/ass2a/aakashks/2A.ipynb new file mode 100644 index 00000000..0e7e415a --- /dev/null +++ b/assMath/ass2a/aakashks/2A.ipynb @@ -0,0 +1,785 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-26T10:53:42.957812500Z", + "start_time": "2023-06-26T10:53:42.779347400Z" + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import math, time\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "from scipy.stats import norm\n", + "from tqdm.notebook import trange, tqdm\n", + "\n", + "np.random.seed(42)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Q1\n", + "Let tickets collected by Alice and Bob be represented by r.v.s $X$ and $Y$\n", + "$$ X \\sim Poisson(10) $$\n", + "$$ Y \\sim Poisson(15) $$\n", + "\n", + "Let $A$ denote the event that Alice collected in place of Bob\n", + "Priori $P(A) = \\frac{1}{11}$,\n", + "$$P(A|y) = \\frac{P(y|A) P(A)}{P(y)}$$\n", + "where $y$ represents the information obtained by the observed data\n", + "\n", + "the maximum likelihood estimate of the poisson parameter $\\lambda$ as obtained by the given data is $\\hat{\\lambda} = 9.6$\n", + "\n", + "$$P(y_i|A) = \\frac{{10}^{y_i}}{y_i!} e^{-10}$$\n", + "$$P(y|A) = \\prod_{i=1}^{5} P(y_i|A)$$\n", + "$$P(y) = P(y|A) P(A) + P(y|\\bar{A}) P(\\bar{A}) $$\n", + "\n", + "where for $\\bar{A}$, $\\lambda = 15$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-26T10:53:43.012857900Z", + "start_time": "2023-06-26T10:53:42.957812500Z" + } + }, + "outputs": [], + "source": [ + "y = np.array([ 12, 10, 11, 4, 11])" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "direcly performing operations would result in big ints\n", + "hence I use log to reduce\n", + "\n", + "$$\\log P(y|\\lambda) = \\sum (-\\lambda + y_i \\log \\lambda - \\log y_i!)$$\n", + "$$\\log P(y|\\lambda) = -5\\lambda + \\log \\lambda \\sum y_i - \\sum \\log y_i! $$" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-26T10:53:43.013935200Z", + "start_time": "2023-06-26T10:53:42.980241Z" + } + }, + "outputs": [], + "source": [ + "log_arr = np.log(np.vectorize(math.factorial)(y))\n", + "def calculate_conditional_prob(l):\n", + " log_prob_y_given_theta = -5*l + np.log(l) * y.sum() - log_arr.sum()\n", + " prob_y_given_theta = np.exp(log_prob_y_given_theta)\n", + " return prob_y_given_theta" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-26T10:53:43.047478800Z", + "start_time": "2023-06-26T10:53:43.000498400Z" + } + }, + "outputs": [], + "source": [ + "priori_a = 1/11\n", + "prob_y_given_a = calculate_conditional_prob(10)\n", + "prob_y_given_b = calculate_conditional_prob(15)\n", + "\n", + "posteriori = 1/(1 + (prob_y_given_b * (1-priori_a))/(prob_y_given_a * priori_a))" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-26T10:53:43.047478800Z", + "start_time": "2023-06-26T10:53:43.006921600Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "the manager’s posterior odds that Alice is filling in for Bob are 25.409\n" + ] + } + ], + "source": [ + "print(f\"the manager's posterior odds that Alice is filling in for Bob are {posteriori/(1-posteriori):.3f}\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Q2\n", + "$$X\\sim N\\left( \\theta ,4\\right)$$\n", + "priori pdf $$ \\theta \\sim N\\left( 5,9\\right)$$" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "(A)\n", + "![](/aakashks/assets/math_handwriting/Screenshot 2023-06-26 160505.png)\n", + "![](/aakashks/assets/math_handwriting/Screenshot 2023-06-26 160909.png)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "(B)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-26T10:53:43.047478800Z", + "start_time": "2023-06-26T10:53:43.022730900Z" + }, + "collapsed": false + }, + "outputs": [], + "source": [ + "mu_prior = 5\n", + "var_prior = 9\n", + "a = 1/var_prior\n", + "b = 1\n", + "sample_mean = 6\n", + "mu_post = (a*mu_prior + b*sample_mean)/(a+b)\n", + "var_post = 1/(a+b)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-26T10:54:42.398944Z", + "start_time": "2023-06-26T10:54:42.373347900Z" + }, + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "hence it is N(5.9,0.9)\n" + ] + } + ], + "source": [ + "print(f'hence it is N({mu_post:.1f},{var_post:.1f})')" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "xvals = np.linspace(-10, 20, 1000)\n", + "plt.plot(xvals, norm.pdf(xvals, loc = mu_prior, scale = np.sqrt(var_prior)), label='$N(5,9)$')\n", + "plt.plot(xvals, norm.pdf(xvals, loc = mu_post, scale = np.sqrt(var_post)), label='$N(5.9, 0.9)$')\n", + "plt.legend()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "(C) \\\n", + "the more data we receive, the more certain we are about the theta value.\n", + "this is because increasing $n$ decreases the $\\sigma_{post}^2$ \n", + "and by more values we make the $\\mu_{post}$ reach closer to the sample mean" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "(D)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Vard's IQ = 86.15 and Taft's IQ = 134.62\n" + ] + } + ], + "source": [ + "# we'll use the same formula with different prior values and test variances\n", + "\n", + "mu_prior = 100\n", + "var_prior = 15**2\n", + "test_var = 100\n", + "b = 1/test_var\n", + "a = 1/var_prior\n", + "\n", + "def expected_IQ(score):\n", + " mu_post = (a*mu_prior + b*score)/(a+b)\n", + " return mu_post\n", + "\n", + "vard_IQ = expected_IQ(80)\n", + "taft_IQ = expected_IQ(150)\n", + "\n", + "print(f\"Vard's IQ = {vard_IQ:.2f} and Taft's IQ = {taft_IQ:.2f}\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "xvals = np.linspace(60, 140, 1000)\n", + "plt.plot(xvals, norm.pdf(xvals, loc=mu_prior, scale=np.sqrt(var_prior)), label='$N(100,15^2)$')\n", + "plt.plot(xvals, norm.pdf(xvals, loc=vard_IQ, scale=np.sqrt(var_post)), label='Vard IQ')\n", + "plt.plot(xvals, norm.pdf(xvals, loc=taft_IQ, scale=np.sqrt(var_post)), label='Taft IQ')\n", + "plt.legend()\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Q3\n", + "MLE on Gaussian dist parameters yields\n", + "\n", + "$$\\hat{\\mu} = \\frac{1}{n}{\\sum_{i=1}^n X_i}$$\n", + "\n", + "$$\\hat{\\sigma}^2 = \\frac{1}{n}\\sum_{i=1}^n (X_i-\\bar{X})^2$$" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-24T11:58:17.019656700Z", + "start_time": "2023-06-24T11:58:16.987529500Z" + } + }, + "outputs": [], + "source": [ + "# given dataset as a numpy array \n", + "\n", + "mu, sigma, size = 0., 1., 1000\n", + "gaussian_data = np.random.normal(mu, sigma, size)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-24T11:58:17.459701900Z", + "start_time": "2023-06-24T11:58:17.438225100Z" + } + }, + "outputs": [], + "source": [ + "mu_estimate = np.mean(gaussian_data)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-24T11:58:18.011082500Z", + "start_time": "2023-06-24T11:58:17.976355200Z" + } + }, + "outputs": [], + "source": [ + "sigma_estimate = np.sqrt(np.var(gaussian_data))" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "ExecuteTime": { + "end_time": "2023-06-24T11:59:03.742138800Z", + "start_time": "2023-06-24T11:59:03.737952900Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.01933205582232549 0.9787262077473543\n" + ] + } + ], + "source": [ + "print(mu_estimate, sigma_estimate)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Q4\n", + "## MAP estimation\n", + "\n", + "\n", + "the likelihood function $$L(\\theta) = P(Y|X;\\theta)$$\n", + "$$ L(\\theta) = \\prod \\big({h_\\theta (x^{(i)})}\\big)^{y^{(i)}} \\big({1 - h_\\theta (x^{(i)})}\\big)^{ 1-y^{(i)}} $$\n", + "$$\\textrm{log-likelihood, }\\ell(\\theta) = \\log L(\\theta) = \\sum_{i=1}^n \\left[ y^{(i)} \\log h_\\theta(x^{(i)}) + (1 - y^{(i)}) \\log (1 - h_\\theta(x^{(i)})) \\right]$$\n", + "\n", + "prior is $P(\\theta) = N(\\theta; \\bold{\\mu}, \\bold{\\sum})$" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$$\\text{posterior is, } P(\\theta|data) = \\frac{P(data|\\theta) P(\\theta)}{P(data)}$$\n", + "\n", + "to apply MAP we have to maximise $\\theta$ \\\n", + "as $ P(data) $ is independent of $\\theta$, \n", + "\n", + "$$ \\hat{\\theta} = \\text{argmax } {P(data|\\theta) P(\\theta)} $$\n", + "$$ \\implies \\hat{\\theta} = argmax \\big( logP(D|\\theta) +logP(\\theta)\\big) $$\n", + "$$ \\implies \\hat{\\theta} = argmax \\big( \\ell(\\theta) - \\frac{1}{2}{\\theta^T \\Sigma^{-1}\\theta} \\big) $$\n", + "\n", + "where $\\mu = 0$" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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06cgUeAyorKzEe++9l+5iZJ2hHsk9lIuORDb9pTKqta+LiIGUM/YcSZIU/rD3Bz/sEewb7fQFYDLIMBkiOk6DhBBwugOQZQn5Fv0jLn4wlN63KaTghUGCQUKRTcbJtBr0do77ahmwmhS0u33hv8G4fHPUOdrT2AlPQAtPkYplDTbfevwqcs3xH+dDVeML/a1nT7Tj+rOnxF2gvbuvpc+aqsenQhP63ybHpGBcvhktXd6U50Ines8V5ZkgSxJsluiQDom8CD5rWkmvYyz086hh5gQ7frD4BACIG1+gyHpz91CPF+lPWoO6u7sbJ510Eq666ip85Stf6ff4gwcP4vzzz8d1112HZ599Fu+99x5uvPFGjBs3LqnnE6XLUI7kHspFR6LnjUpDOqpV0wQeeWcfOj1+lOSZIQTgDWjQhECeWUFbtw8//edOLD1nKjQI+AIacswGHHV4YLP0fDTlWQzo8vjhV/WBPB1uP4pzTZg9wY7tdR040NINi1GBQZIQEAJunwpJ0mtTde1ufaCRKqAJAb8GSNBvhwQ0AYGegHf5VGhC4FCLCxedVIDq4hy4/apeo8o3Y8vhdmw53N7r6z7U2o0Od6i8+nr2EvT5uErwb6UJgZYuL4yKhNZuvRXFaJDgcPesfy9LgMPth18TaHC6Ezbx+1UNEvQm7UDM2tR+VYPLp6Iwx4T/23UMb+9uinv+UHh7dxOOOT3w+FU0OD36mIIIOSYDhABUn4ocs4JckyF8niVJD2kBvcZ9tN0Dg6IP2tpe24Ef/f0TlNr6HpfS1+8G9L+vP6BhzY5GbK9th0mR4fYHsK/ZjxyTAkWSoQq9RcmkyCi1WfDw2/uifsYZ00rwwcE2HAsu+GI1yjixwj425lEvWbIkvNxlMv7whz+gqqoKK1euBADMmDEDW7ZswYMPPthrUHu9Xni93vB9p9PZ7+8ZY+PrMl42/D2GciT3UC46Ejs/NtVRrR6/ioMt3djf3IX9Td043NqN5i4vmju9aHR40BEMntbu+A1YJKGhpaUJT3y4BeXOZlR0tuBitxM2Tzds3i7YPN2wBryw+H0wqz6YA34YtAAMqgqDUKFoKmQhIAsNshCQhKYPAAoOCpIEwv2N8b97eN9TK4b1p2emH4+h3/3DZzbify+dy5XJEtm0aRMWLVoU9djixYvx+OOPw+/3J9wjecWKFbj33nuT+vmh57tcLlit1sEXmIaEz6fXOAYzRSwTDGQQViKp9HcnmkMcWbOPbBKOnXKT6Gdtq+3A+4dacbC5G3uOdaKm3oFkNxkq7WzB6Uc+wZyGvZh9bD9mHtuPPJ87uScTZZDifPOIrvk+qoK6sbERpaWlUY+VlpYiEAigpaUF5eXlcc+58847sXz58vB9p9OJysrKhD9fURQUFBSE16jOyckZ1EIfNHiapqG5uRk5OTkwGEbV2zWhVAZhJaJpQl/IQQg4Pf64wTNAT79kaE5r7CCus48rwZE2FxqdXliMMiSg31GtWw+14faXPsYxp6eXOmpi4ztbsWTPRly4612cVr8z7vuqJKPVXoK2olI02cehPb8QnlwbVJsdHUYrXCYLhNkMY14uVJMZmsEAVTbAGQB8kGAwGpBjNQGyjG1HHOj0qTAZZEDSl3/0CwFvQOhbFkqAQZbCXdqhJm9ZkmAxyjBIwe4A6H3IeRYj5k0qhAQJrd1e7Kh3IhBcWlKWAU0D/JoGgyRh5gQbinPN4dfV2/F68zdQVZyD4jwzIIBtte1QZBmx110C+sCzgKahsiAHDo8f3d5AeI5vrtmgj1AP/l5NCLx/sBXdXhVmgwxZ7nln6K9JQ77ZEH5NfZWzt9cVq7XbiwPN3eFyCSGC51dCcOwccs0GTC7JxcGWbnR6AzAb9Bfq9ukDy6TgFC5F1gfHAQh3NcyqsMNmNSTse+6rLAGhrygGSb/Y9GsivG2lJOnzrkPvhUTnpT+nTCxK6rihMuo++Xpbh7q3QDWbzTCbe3+jxSorKwOAqA0lKL1kWUZVVVXWXDQlMwgrkch5uU6PH+0uH9q6fQlHopbbzfjjuwfQnWAQ15E2V3jpzX3Heh/VqmkampxeaELDb9/a12u5FFmC2SBD0/R15U2KhNP8Lbj7vWdRvf4NyBHNzHuqZmD3pBnYW3kC3i+cDMvsE3HducdHLUrS1+j1hCPIC/XR0a+/vQ+5ZgOUiLnPBgCWXubthgYJeVQNlhwTlJiuiLsiVja78onNcPhy4uYqmzUN9R0eHLBYcc0XZ2P2BHtK8+B75td3osxmjhrg1+T0hKcxBXLMmFKdi69FbLsYu8KaJgTW9jH/W/OraPMG8JUvzQsv89nb67IE52C3F+djZX/zu+05Ue+x2HnpoQvR0PFtwbnQckBDY8y89i5V351Ls+iD0br8CqYWprZ6W029A3e9WhOcBmeB1y9Q19YNWdIvHuLmQsecl0w0qoK6rKwMjY2NUY81NTXBYDCguLh4SH6HJEkoLy/H+PHj4ffH96vRyDOZTJATDKQZS+JGTxsUHHW44fKpONLmwoRCK4yKjI7gIhhAz5zWRIPN1u9twRNXnhYVWJGjWt1+FXUdbvgC8fN+ZEkfIJRnVtDpURHQVOSYFBTmmDDe1YFL//0kzv/PazAE5wzVVJ2INTPPxgfzzkNncVlUGH5jehl++LdPkhoV3tcI8r5GR0uSBLvFCG9AQ1GeCQaDHB7BfNJEe79dEb2NCdB3WfLA49ews8GJa5/agukRz02m9STR2IXYxTwqCvRpS582dqGu/QAe+PJsdHr8uOqpD6IuWIpyTegODh5LZCiX+exrQGO53YJGpxcb97fi+rN7xl30NRdakSR0uPzo8gYgS0CZzYICqzHlTTzk4PS79m4fxuWbIUsyApo/3L0jJRh1n85NbpI1qoJ6wYIF+Mc//hH12Jo1azBv3ryE/dODoSjKqO8TpeyQ6EPRYlQgy1K41nW0w41xeeZe57SGRH4A72rsTBhYLX4VnZ5AePnEEItBRkmeGfYcI+TgPGaHuxt+VcBuMeKCra/j2y//Bjlevd/5ramn4cFzv4VjVdN6lu3s8obD8Pqzp+DR9QeSGr0O9L/wh8evwquqsMrJT1OKDdMCq/450uH2o6bOgZkVtoRjAqKntAFC1VevSrQcbH+1tMgAi1zFrLfFO1b8e1d4BbDIC5a6dje6vAF0uP0oyo0P69gukb6W+RRCbyru9qnYWts+ZOuh9zYXekdwq8xQLVgOdkOYJRl2iwHNXT784o3deGlSEQyGvi/aY/9esWuDx27ikc5NbpKV1qDu6urCvn09TWoHDx7E9u3bw5tK3Hnnnaivr8fTTz8NAFi6dCkefvhhLF++HNdddx02bdqExx9/HH/961/T9RKIhl1vH4p5ZgNyS3oWabh18XR86eSKhHNaAf3D1+PX9Gk7fhUt3T2zIRZOK8Hpk4vwwL8/xZMbD0WFtCJLGJ9nRlGeMfwBCuhzTgOqBkVTce0//4Cvr3sBAPBx+fFYcd7V2FI9G0IIlJsMcAX7jiObQ1P5sAfQ57HFeSYcaXOjpcuHiQVKStPfQmG6cV8LHlyzO64JfvHMsqiR8rFT2gQAWdZbGQoNEuo7PHhg9S787MvRTeF9CQXY37cf7XPxDrvVgN2NXcgxKZhYaI26YJlQYMGepi40dXpQkGOI+lsl6hKJ3ZAitGIagHBLgSYEfv/WPvzfrmNDth56oouX2Fow0NNioU/pA2rqOvA/j27CbYtP6LNmHTuzIXbhHIHoTTzSuclNstLanrhlyxaccsopOOWUUwAAy5cvxymnnIIf/1gfbN/Q0IDa2trw8ZMnT8bq1avxzjvv4OSTT8ZPf/pT/Pa3v+UcaspqfX0ohpp1FUXWF34I1gxCH1QhXd4ADrV243BbN+o63Oh0+/GbN/di476W8DF/WH8Aj284GBXSOSYFmibQ3OXB4Va9xhYS0DRYfG488uqKcEg/cvY38N9X/grbJs2BIksAJCiyhHK7BX5VYOP+1nDtLJkPe3/ww76/Yy0GRW/GNOi1TrdfDTfhNzq9/U5/CzWr72pwItdswPh8M3LNBuxq6MQf1+9HcZ4J7S5/+GInNKUt1L9vNuibQhxuc6HLGwg3hV/5xOaocxxJ0wRq6hxYt6cZNXUOAP0v3iGEft5zTErcBYssyxiXb4YmgPoOT9w5iO0SsVuNMBtlaEJfhU0TAg0ON+rbXXD7VQihj1uw5xjCLQWh15LoPRYp1Vpq7N831GLh9muQJQmhSvTB5q6ociQSWrMg9PcKLZyjSBL8mn5xqS9yI5J6b2SCtNaoP/vZz/Y5R/bJJ5+Me+ycc87Bhx9+OIylIsosqa5qFru4SrdPjWqmhaYvvVnX7go303b7VDy4Znf4ZyqyhDyzgnF5ZjQ49AUl3L4A6tu18DrVJV3t+P0zt2Fm0wH4DCY8eMlteGLSAihScnOyU31d/R2ba1Jw47nT8MaOxpSmvyWzgIzNCuSa9c0njIoU3vpQDY6UzzMbcLTd029TeEhvy6rG1t5juf2qXrYEg8UAoNBqQrdXxYQCK9q7fVHnoL9lPiUIePwivCGFIssYb7PAajTAYlOiuiKGeivWyPeCWZKjWiyk0CYgMlCSZ4bDE+hzEZ5E/f45RgUl+SZ9oBoAgyLD5VVTnhqZLqOqj5poLEr1QzHyg6rBoa/JrAp9VSxN0z+Ay+yW8K5HD67Zjd2NnQhdM1uMMnJMCirsetPqeJslGPQaVE1Dk9MDc56C+578CWY2HUBrbgFWXPcAtlRMh2h3JzUneyCvK5ljL5tfhcvmV6U0/S2ZJvjWLl/4ImBXgzO8spnFaEBJngktXd6ETeFFxviV4voaFFfb2t3nhiBunwqjok+jSiR0wfLAl+M34Uhmmc8Qq8kQ1Wed6EJrKLdijd1SM3IRnsj3ktWsQJKlfreW7G3NgtMnF+G/IkbOpzI1Mp0Y1EQZbiCrmoU+qH7xxm7U1HUAAERw/mjkB3C+xYCPjjigBoPHalSQZ1ZQEBFaUR/mfg1uv4qrX1mFU2o/gS83D8tuWIld9gmwaCKpOdmhGnKqryuVY1OZZpNsf2tlUQ6eump+z/SfDjcmFOjTf6KawtWeCxQJ0QE3s8KWUu099nXarQZUFlnR4PDCYuu9Lz5R33h/G1I0Oj1o7fKhzG5BUa4pruk99kJrqBbwAaLfC81dvuA2mvre0Komot5LyY7SHuyaBZmEQU00CgzkQ3HhtBIsC2i45f9tR77FAJPSEx6A/sF+zOkJh7QkAUs/OxXPbjocF1qhD3OXT8UZG/6JS95/DQBgev6vuGH6Z8IjllPdaSiV1zWUwRAplSZ4WZZwUmUB7j5/Bu56tQbHnL6ETeGRFyiRwZJq7T3R6wQwoJpsXy0YgD6/2GTQW1MS9Y8n6nceyjCMvbgMqHrLROzFZSr93wNdsyDTMKiJRomBfCgW55lhNSowG5S4fs12lx+uiObO2/9rOs6YWoIXNtcmDC1JkjC9fjd++K/f6g/ccw9w4YVYCERtg5jqTkOpvK7hqCUNpL818qIhtik8MlSA6GBJtfbe2+scyAVLfy0YydbWY/udhzIMF04rwUuTivA/j27CweYulOSZ9ebuiIvL0TBKe6gxqIlGkVQ/FHsLIU0INHV6wsctmVWG68+eAiF67wvO7XLgx0/8COaAH+LCiyD96Edx5Up2EZHBvK6hriUNdMOU0EVDbFN4omlRoWDZcdSZUu29rz7YgVyw9NcqAQystj6UDAYZty0+AXe9WgOHJwBJltJSjkwiiWzYmigFTqcTdrsdDocDNtvYuSKjsatn8JIa/vBtCu5wBegLkbxz62dRWZTT6/FeVcPVL/0Gl216Fe5JU2Dd/iFg7z0sYzcDGQ19g8ks+dnXcxOds1CwPBCzHGnskqGAHuqNTi9mlOfjqV6W7Rwqff19BnMehlKmlCMTMKiJxoDIDz2fqqG92wc1+D//a6dV4udfmdPr8X5NYHJbPf7ym2tgUFVgzRrgC19Iw6sYfoO5wEg2WJIN9XTKlAutTClHujGoicaI0Ifeyx/W4cmNhwDou0m9/YOe2nSi49tcPpy87BrY//0P4L/+C/j3v0e45KNHssHC2iKlgkFNNIZ4AyrO/eU7OOrQ+6e/Pr8KK/57dt9P2rABOOssfQjuRx8Bs2aNQEmzH2uLlCwOJiMaQ/7flrpwSBsVCTedN63vJwgBfP/7+u1rrmFID6FsmTpEw29s7x1INIb4AhoeebtnE5xL5lViQoG17ye98AKweTOQmwvcd98wl5CIEmFQE40Rmw60oiFYmzYpMr5zbj+1aZ8PuPNO/fbttwNlZcNcQiJKhEFNNEa8saMxfPuzJ4xDRX+16b//HTh0CCgtBZYvH97CEVGvGNREY4CmCazdeSx8f/HMJGrHf/iD/vXaa/WmbyJKCwY10Riw7Uh7zwInsoTPzRjf9xP27gXeektfAPy660aghETUGwY10RiwZkdPbfr0yUUo6G9Dg8ce078uWQJUVw9jyYioPwxqoiwnhIjqn+632dvjAZ54Qr+9dOkwloyIksGgJspye4514VCrK3z/CyeW9v2EV14BWluBiRP1GjURpRWDmijLrYmoTc+ZaO9/tHdoENl11wEGrolElG4MaqIs98bOFJq9d+4E3n0XUBR9JTIiSjsGNVEWq2t34ZN6Z/j+4pn9NHuHBpFddBEwYcIwloyIksWgJspikaO9p5TkYuq4vN4P9vuBp5/Wb19//TCXjIiSxaAmymJrIpq9F80sgyT1sTvThg1AezswblzW7jdNNBoxqImylNun4oND7eH7/TZ7//3v+tcLL9T7qIkoIzCoibLUzgYHVE3fbj7HpGDOxILeDxYCeO01/fYXvzj8hSOipDGoibLUR0cc4duzJtihyH00e+/YARw8CFgsbPYmyjAMaqIsVVPfE9RzJtj7PjhUm/7857kBB1GGYVATZamP6jrCt2dP7CeoQ/3TbPYmyjgMaqIs1Onx40Bzd/j+SX31Tzc0AJs367cvvHB4C0ZEKWNQE2WhyGbvfIsB1cU5vR/8z3/qX+fPB8rLh7lkRJQqBjVRFqqpi+ifnmjve/50qNn7S18a5lIR0UAwqImy0MeRA8n6avbu7gbefFO/zf5poozEoCbKQh9HDCTrc8T32rWA1wtMngzMnDn8BSOilDGoibJMe7cPR9rc4ftzKgt6PzhytHdfzeNElDYMaqIsE9nsXZxrQoXdkvhAIfQaNcDR3kQZjEFNlGVqYuZP9zqQ7OBBoL4eMBqBhQtHpnBElDIGNVGW+aguyYFk776rf503D8jpY/oWEaUVg5ooy0RNzeprINn69frXs84a5hIR0WAwqImySJPTg0anJ3x/Tl9Lh4Zq1GefPcylIqLBYFATZZGPI2rTZTYLxtt6GUjW2Ajs3auP9D7jjBEqHRENBIOaKItEjvjucyOOUG16zhygoGB4C0VEg8KgJsoikQudnNRXUIf6p9nsTZTxGNREWWR3Y2f49sxkBpIxqIkyHoOaKEt4/CoaHD0DyaaNy0t8YHs7UFOj3+aIb6KMx6AmyhK1ba7wbaMioby3Fcnee09flez444HS0hEqHRENFIOaKEscaukO364szIFB6eW/N6dlEY0qDGqiLHG4tadGXV3cx0pjXOiEaFRhUBNliUOtPTXq6uLcxAd1dwNbtui3WaMmGhUY1ERZIrJGPam3GvX77wOBADBxIlBdPUIlI6LBYFATZYmoGnVJLzXqyGlZ3H+aaFRgUBNlAW9AxdEOd/j+pN6avv/zH/0rlw0lGjUY1ERZoK7dDU3otxVZwoQCa/xBQgAffqjfnjdv5ApHRIPCoCbKArUR/dMTCqwwGRL8166rA5qbAUXR1/gmolGBQU2UBaJHfPcykCxUm545E7D0shgKEWUcBjVRFkhqDvXWrfrXuXNHoERENFQY1ERZILJG3etAslCN+tRTR6BERDRUGNREWSC6Rt1LULNGTTQqMaiJRrmAquFIWz+LnTQ0AI2NgCwDJ500gqUjosFiUBONckc7PAgE52ZJElBZlCCoQ7XpGTOAnD7WASeijMOgJhrlIvuny20WWIxK/EHsnyYatRjURKPc4WQ242D/NNGoxaAmGuUORW7GUdLPHGrWqIlGnbQH9SOPPILJkyfDYrFg7ty5eDe0qX0vnnvuOZx00knIyclBeXk5rrrqKrS2to5QaYkyT7816qYmfVUySQJOPnnkCkZEQyKtQf3CCy9g2bJluPvuu7Ft2zacddZZWLJkCWpraxMev2HDBlxxxRW45pprsGPHDrz44ov44IMPcO21145wyYkyx6H+trcM1aaPPx7Izx+hUhHRUElrUD/00EO45pprcO2112LGjBlYuXIlKisrsWrVqoTH/+c//8GkSZNw8803Y/LkyTjzzDNx/fXXY8uWLb3+Dq/XC6fTGfWPKFuomoha5zthjTrUP81mb6JRKW1B7fP5sHXrVixatCjq8UWLFmHjxo0Jn7Nw4ULU1dVh9erVEELg2LFjeOmll3DBBRf0+ntWrFgBu90e/ldZWTmkr4MonRqdHvhULXw/4fKhoRo1B5IRjUppC+qWlhaoqorS0tKox0tLS9HY2JjwOQsXLsRzzz2HSy+9FCaTCWVlZSgoKMDvfve7Xn/PnXfeCYfDEf535MiRIX0dROl0uKWnf3p8vhk5JkP8QaxRE41qaR9MJklS1H0hRNxjITt37sTNN9+MH//4x9i6dStef/11HDx4EEuXLu3155vNZthstqh/RNkiun86QbN3aytw+LB++5RTRqhURDSUElx+j4ySkhIoihJXe25qaoqrZYesWLECZ5xxBm699VYAwJw5c5Cbm4uzzjoL999/P8rLy4e93ESZ5HB/21uGmr2nTgUKCkamUEQ0pNJWozaZTJg7dy7Wrl0b9fjatWuxcOHChM9xuVyQ5egiK4q+CpMQYngKSpTB+t3ects2/SubvYlGrbQ2fS9fvhx/+tOf8Oc//xm7du3CLbfcgtra2nBT9p133okrrrgifPxFF12EV155BatWrcKBAwfw3nvv4eabb8b8+fNRUVGRrpdBlDYNTk/49oRCa/wBNTX61zlzRqhERDTU0tb0DQCXXnopWltbcd9996GhoQGzZs3C6tWrUV1dDQBoaGiImlP9rW99C52dnXj44Yfx/e9/HwUFBTjvvPPwv//7v+l6CURpdczRE9SlNkv8ATt26F9nzhyhEhHRUJPEGGszdjqdsNvtcDgcHFhGo5qqCRz/w39DDe6c9X/fPwdTx+VFHKACeXmAxwPs3q0veEJEo07aR30T0cC0dnnDIQ0AZbE16oMH9ZA2m/XBZEQ0KjGoiUapxoj+6XyzAbnmmJ6sULP3jBmAkmDrSyIaFRjURKPUMac3fHu8zRx/APunibICg5polIqsUZfZOZCMKFsxqIlGKY74JhobGNREo9QxZx9BrarAp5/qtxnURKMag5polIpq+o4N6v37Aa8XsFqByZNHuGRENJQY1ESjVJ816sgR3zL/mxONZvwfTDRKRY76Lo0d9c3+aaKswaAmGoU8fhUOtz98P27UN4OaKGswqIlGocaIEd+SBIzLY42aKFsxqIlGocj+6ZI8MwxKxH/lQEBf2xtgUBNlAQY10SjU54jvffsAnw/IyQGCO9ER0ejFoCYahZIa8X3iiRzxTZQF+L+YaBTiiG+isYNBTTQK9dn0zaAmyioMaqJRqM91vhnURFmFQU00Ch3rjAjqyDnUfj+wZ49+m0FNlBUY1ESjjBAiqo86qul77149rPPygKqqNJSOiIYag5polGl3+eELaOH7UYPJdu7Uv554or4SChGNegxqolEmcmqW2SDDbjX2fDO00Mn06SNcKiIaLgxqolEmasS33QIpsuYc6p8+/vgRLhURDRcGNdEoEzXiOz9mxDeDmijrMKiJRpmoxU5id80KBfUJJ4xgiYhoODGoiUaZ6MVOIgaStbYCbW367WnTRrhURDRcGNREo0yv63yHBpJVVuobchBRVmBQE40yvQY1+6eJshKDmmiUORYz6juMQU2UlRjURKOIL6ChpcsXvh816psDyYiyEoOaaBRp7vJG3R8fOZiMNWqirMSgJhpFGiPmUBfmGGExKvodTdPX+QYY1ERZhkFNNIr0OpDsyBHA4wGMRqC6Og0lI6LhwqAmGkX6HfE9dSpgMIxwqYhoODGoiUaRqFXJEvVPcyAZUdZhUBONIi0Rg8nG5XMgGdFYwKAmGkXaunumZhXnRgR1aFUyBjVR1mFQE40irRE16uI8U883WKMmyloMaqJRJHKxk5K8YI3a6wUOHdJvM6iJsg6DmmiUEEKgtTtBjXr/fkAIwGYDSkvTVDoiGi4MaqJRwuVT4fFr4fvhPurIZm9JSkPJiGg4MaiJRonWiGZvSdJXJgPAgWREWY5BTTRKtEQ0exfmmGBQgv99OZCMKKsxqIlGicgadXFughHfXOyEKCsxqIlGCU7NIhqbGNREo0Rr5GInoalZHR1AU5N++7jjRr5QRDTsGNREo0Tk8qEloabv0NaWZWVAfn4aSkVEw41BTTRKRPVRh2rU+/frX6dNS0OJiGgkMKiJRomEi53s26d/nTo1DSUiopHAoCYaJaJHfbNGTTRWMKiJRonodb4jlg8FWKMmymIMaqJRQNME2qKavmNq1AxqoqzFoCYaBTrcfmii535xnglwuYCjR/UHGNREWYtBTTQKRC52YlJk5JsNwIED+gN2O1BUlKaSEdFwY1ATjQItUVOzTJAkKXogGXfNIspaDGqiUaDXfagBNnsTZTkGNdEokHBqFudQE40JDGqiUSDhhhysURONCQxqolGgpTtyDjUXOyEaSxjURKNAVI061wT4/cDhw/oDrFETZTUGNdEoELchR20tEAgAZjNQUZHGkhHRcGNQE40C0XtRm3qavadMAWT+NybKZvwfTjQKRO9FbWb/NNEYkvagfuSRRzB58mRYLBbMnTsX7777bp/He71e3H333aiurobZbMbUqVPx5z//eYRKSzTyvAEVnZ5A+H5UjZr900RZz5DOX/7CCy9g2bJleOSRR3DGGWfg0UcfxZIlS7Bz505UVVUlfM4ll1yCY8eO4fHHH8e0adPQ1NSEQCCQ8FiibNAW0ewNAEW5Js6hJhpD0hrUDz30EK655hpce+21AICVK1fijTfewKpVq7BixYq4419//XWsW7cOBw4cQFFwbeNJkyaNZJGJRlzkQLJ8swEWo8IaNdEYkramb5/Ph61bt2LRokVRjy9atAgbN25M+JzXXnsN8+bNwy9+8QtMmDABxx9/PH7wgx/A7Xb3+nu8Xi+cTmfUP6LRpCV2sRMhejbkYB81UdZLW426paUFqqqitLQ06vHS0lI0NjYmfM6BAwewYcMGWCwWvPrqq2hpacGNN96Itra2XvupV6xYgXvvvXfIy080UuKmZjU26ltcyjJQXZ3GkhHRSEj7YDIpZtcfIUTcYyGapkGSJDz33HOYP38+zj//fDz00EN48skne61V33nnnXA4HOF/R44cGfLXQDScojbkiOyfrqoCTKY0lYqIRkraatQlJSVQFCWu9tzU1BRXyw4pLy/HhAkTYLfbw4/NmDEDQgjU1dXhuOOOi3uO2WyG2Wwe2sITjaC4GvX+T/Q77J8mGhPSVqM2mUyYO3cu1q5dG/X42rVrsXDhwoTPOeOMM3D06FF0dXWFH9uzZw9kWcbEiROHtbxE6RK5F3UJp2YRjTlpbfpevnw5/vSnP+HPf/4zdu3ahVtuuQW1tbVYunQpAL3Z+oorrggff9lll6G4uBhXXXUVdu7cifXr1+PWW2/F1VdfDavVmq6XQTSs4pq+udgJ0ZiS1ulZl156KVpbW3HfffehoaEBs2bNwurVq1EdHCDT0NCA2tra8PF5eXlYu3Ytvvvd72LevHkoLi7GJZdcgvvvvz9dL4Fo2MU1fXMONdGYIgkhRLoLMZKcTifsdjscDgdsNlu6i0PUr4Ur/g9HHR4AwF+uOx0L558AtLUB27cDJ52U3sIR0bBL+6hvIuqdECJqL+rxmkcPaUDfkIOIsh6DmiiDdXkD8AW08P2Spnr9xrhxQH5+mkpFRCOJQU2UwSL7p2UJyD8aXAeAtWmiMYNBTZTBIkd8F+WaoBw6qN9hUBONGQxqogwWOYe6ONfcs8Y3g5pozGBQE2WwyC0ui3JNDGqiMYhBTZTBooI6zwQcZNM30VjDoCbKYJGDyUosCnDokH6HQU00ZjCoiTJYu6snqCvd7YDfDxiNwIQJaSwVEY0kBjVRBmuNaPqu7AjuNDdpEqAo6SkQEY04BjVRBmuPCOrSlqP6jcmT01QaIkoHBjVRBoscTFZ8rE6/wf5pojGFQU2UwSKD2tbIVcmIxiIGNVGGcvtUuP1q+H7OkcP6DQY10ZjCoCbKUJHLhwKAoZZBTTQWMaiJMlR7tz98e7zsh9TUpN9hUBONKQxqogwVWaOe6WnVbxQVAXZ7mkpEROnAoCbKUJGLnRzf3azfYG2aaMxhUBNlqMjlQ6d0HtNvcA410ZjDoCbKUJE16gntwVXJWKMmGnMY1EQZKnIOdVlrcFUyBjXRmMOgJspQ0auS1es3GNREYw6DmihDhYJaEhpsXD6UaMxiUBNlqNDOWeO62qF4vfqOWZWVaS4VEY00BjVRhgrtnFXlCA4kq6rS96ImojGFQU2UgVRNoMOtr0xW1cER30RjGYOaKAN1uHwQQr/NoCYa21IO6m9961tYv379cJSFiIIiR3xPcnCxE6KxLOWg7uzsxKJFi3DcccfhgQceQH19/XCUi2hMiwzqyaFVyVijJhqTUg7ql19+GfX19bjpppvw4osvYtKkSViyZAleeukl+P3+/n8AEfUrMqgnhlYlY42aaEwaUB91cXExvve972Hbtm3YvHkzpk2bhssvvxwVFRW45ZZbsHfv3qEuJ9GYEpqaZfZ7UewM7pw1dWoaS0RE6TKowWQNDQ1Ys2YN1qxZA0VRcP7552PHjh048cQT8etf/3qoykg05oSmZk10BPegttn0LS6JaMxJOaj9fj9efvllXHjhhaiursaLL76IW265BQ0NDXjqqaewZs0aPPPMM7jvvvuGo7xEY0Jr7BzqKVMASUpjiYgoXQypPqG8vByapuHrX/86Nm/ejJNPPjnumMWLF6OgoGAIikc0NoV2zuLULCJKOah//etf46tf/SosFkuvxxQWFuLgwYODKhjRWBYaTMagJqKUg/ryyy8fjnIQUQQGNRGFcGUyogwUCurKDk7NIhrrGNREGUYIoQe1ENGDyYhoTGJQE2UYl0+FN6ChxNWBHL8XQpKA6up0F4uI0oRBTZRhepq9g0uHTpwImM1pLBERpRODmijDhIM62OwtsdmbaExjUBNlGI74JqJIDGqiDMOgJqJIDGqiDMOgJqJIDGqiDNPmihlMxjnURGMag5oow7R1+WAK+FHe2aI/wBo10ZjGoCbKMK3dPkxwNkGGgN9iBcaPT3eRiCiNGNREGabd5Qv3T7smVHF7S6IxjkFNlGHaun2odOj9077qSektDBGlHYOaKMO0dfsiNuNg/zTRWMegJsogflWDw+0PN30bpk1Nc4mIKN0Y1EQZpMPlB9Azh9o6/bh0FoeIMgCDmiiDhLa3DDV9m49jjZporGNQE2WQ1m4vCjydsPlcAACJi50QjXkMaqIM0trVMzWr1VYM5OSkuURElG4MaqIM0trl7Qnq8RPSXBoiygQMaqIM0trdU6N2lleluTRElAkY1EQZpKXLh4nBxU7clQxqImJQE2WU1i4vqjsaAAABrkpGRGBQE2WU1m4fqtv1pm9p6rQ0l4aIMgGDmiiDODs6UeFsBgCYTuBiJ0TEoCbKKJa6I5Ah0G20wDZpYrqLQ0QZIO1B/cgjj2Dy5MmwWCyYO3cu3n333aSe995778FgMODkk08e3gISjRCPX0VxUx0AoLagDMX55jSXiIgyQVqD+oUXXsCyZctw9913Y9u2bTjrrLOwZMkS1NbW9vk8h8OBK664Ap/73OdGqKREw6+t24fq4NSsw4XlKMo1pblERJQJ0hrUDz30EK655hpce+21mDFjBlauXInKykqsWrWqz+ddf/31uOyyy7BgwYIRKinR8Gvt8mFS+1EAQENxBcwGJc0lIqJMkLag9vl82Lp1KxYtWhT1+KJFi7Bx48Zen/fEE09g//79+MlPfpLU7/F6vXA6nVH/iDJRS3fPqmTtXOyEiILSFtQtLS1QVRWlpaVRj5eWlqKxsTHhc/bu3Ys77rgDzz33HAwGQ1K/Z8WKFbDb7eF/lZWVgy470XBo7fKhul2fQ905sTrNpSGiTJH2wWSSJEXdF0LEPQYAqqrisssuw7333ovjjz8+6Z9/5513wuFwhP8dOXJk0GUmGg5tDhcqHfpFqpeLnRBRUHLV0mFQUlICRVHias9NTU1xtWwA6OzsxJYtW7Bt2zbcdNNNAABN0yCEgMFgwJo1a3DeeefFPc9sNsNs5uhZyny+2iMwqwH4ZQVyFZu+iUiXthq1yWTC3LlzsXbt2qjH165di4ULF8Ydb7PZUFNTg+3bt4f/LV26FCeccAK2b9+O008/faSKTjQs5AMHAABH7KUosnF7SyLSpa1GDQDLly/H5Zdfjnnz5mHBggV47LHHUFtbi6VLlwLQm63r6+vx9NNPQ5ZlzJo1K+r548ePh8ViiXucaDSy1B4CANQWlKM4j61ARKRLa1BfeumlaG1txX333YeGhgbMmjULq1evRnW1PpCmoaGh3znVRNkiv/4QAOBwYRmK8ziHmoh0khBCpLsQI8npdMJut8PhcMBms6W7OERhb80+B+d9sh73nXcdvvDYCiyYWpzuIhFRBkj7qG8i0mc7lDbXA9Br1CWsURNREIOaKAN0evyoDM6hPsw+aiKKwKAmygDth4/C5nMBAOoLSlFgNaa5RESUKRjURBnAtWs3AOBofglyC2yQ5fhFf4hobGJQE2UA3+59APTtLdk/TUSRGNREmeDAfgCh/mkGNRH1YFATZQDTQX1VssOF5SjO5UAyIurBoCbKALl1hwGwRk1E8RjURBmgoEHf1e1wYTlKODWLiCIwqInSrbMTNkcrAH0wWXEua9RE1INBTZRuwV2z2qw2OC15XOyEiKIwqInSbb8+4ru2oAwA2EdNRFEY1ERppu7V51AfLigHAJRw1DcRRWBQE6WZ71N9VbJDhXpQs0ZNRJEY1ERpJnbvAQAcLJoAi1FGjklJc4mIKJMwqInSzLB/LwDgQNEEFOeaIUlc55uIejCoidKpsxOmpmMAgEOFFVznm4jiMKiJ0mmvXptuzing1CwiSohBTZROe0L90xUAwMVOiCgOg5oonXbrI74PFk4AANaoiSgOg5oonfb0jPgGwD5qIorDoCZKp9imbwY1EcVgUBOlixDhoN5fNBEAuBc1EcVhUBOlS1MT4HRCg4TaAq5KRkSJMaiJ0iVYm66zj4fPYAQA7kVNRHEY1ETpEhrxHRxIJklAEadnEVEMBjVRugRr1AeCQV2ca4ZR4X9JIorGTwWidAmN+C7UR3yX2dnsTUTxGNRE6RKuUesjvstslnSWhogyFIOaKB1UFdi3D0BPH/V4BjURJcCgJkqHQ4cAvx9+owlHbSUAWKMmosQY1ETpEGz2bhg3EULS/xsyqIkoEQY1UTrErPENAONtHExGRPEY1ETpEAzqT21l4YfK7KxRE1E8BjVROgSDem9BT42aTd9ElAiDmigdQlOzgvtQmwwy7FZjOktERBmKQU000lwuoLYWQM/2lmU2CyRJSmepiChDMaiJRlpw/rTXZke71QaAzd5E1DsGNdFICzZ7t1dM0nfiAEd8E1HvGNREI23nTgBAfXl1+CHWqImoNwxqopG2YwcA4MC4iKDm1Cwi6gWDmmikBYN6R+HE8ENc55uIesOgJhpJfn+4j3pLHudQE1H/GNREI2nvXsDvh8jLww6DPfwwg5qIesOgJhpJwWZv/wnTIdAzb5qjvomoNwxqopEUDGrnlOPDDxXkGGExKukqERFlOAY10UgKBnVz1bTwQ2z2JqK+MKiJRlIwqOvKJ4cf4ohvIuoLg5popPh8+mAyAHsi51Czf5qI+sCgJhope/YAgQBgs2GfqSD8MJu+iagvDGqikRJs9saJJ+JYpzf8MJu+iagvDGqikRIK6pkz0ej0hB9mjZqI+sKgJhopEUF9zBER1Fznm4j6wKAmGinBoHYfNx3dPjX8cClr1ETUBwY10UjweoF9+wAAjZVTww8bZAnFuaZ0lYqIRgEGNdFI2L0bUFXAbsfRnMLww+PzzZBlqY8nEtFYx6AmGgmR/dMRI75L2T9NRP1gUBONhF5GfJfmM6iJqG8MaqKRwBHfRDRADGqikfDJJ/rXmTNxzBnR9M0R30TUDwY10XBzu4H9+/XbsU3fXOebiPrBoCYabp9+CggBFBYCZWU4xlXJiCgFDGqi4bZtm/71pJPgCWhRNeqKAmuaCkVEo0Xag/qRRx7B5MmTYbFYMHfuXLz77ru9HvvKK6/gC1/4AsaNGwebzYYFCxbgjTfeGMHSEg3Ahx/qX+fORV27C0Lodw2yhImFDGoi6ltag/qFF17AsmXLcPfdd2Pbtm0466yzsGTJEtTW1iY8fv369fjCF76A1atXY+vWrTj33HNx0UUXYVuoxkKUiUJBfeqpONTiCj88sdAKg5L2a2UiynCSEKHr+5F3+umn49RTT8WqVavCj82YMQMXX3wxVqxYkdTPmDlzJi699FL8+Mc/Tvh9r9cLr7dnlK3T6URlZSUcDgdsNtvgXgBRf4L7T8PtBj79FH9qMuL+f+0CAJxz/Dg8dfX8NBeQiDJd2i7nfT4ftm7dikWLFkU9vmjRImzcuDGpn6FpGjo7O1FUVNTrMStWrIDdbg//q6ysHFS5iVKye7ce0nl5wHHH4XBrT416UnFOGgtGRKNF2oK6paUFqqqitLQ06vHS0lI0NjYm9TN+9atfobu7G5dcckmvx9x5551wOBzhf0eOHBlUuYlSsnWr/vWUUwBZxuG2nqCuLs5NU6GIaDQxpLsAkhS9IYEQIu6xRP7617/innvuwd///neMHz++1+PMZjPMZs5VpTSJ6J8GgMOt3eFvTSphjZqI+pe2oC4pKYGiKHG156amprhadqwXXngB11xzDV588UV8/vOfH85iEg1OqEY9dy78qoa6dnf4W6xRE1Ey0tb0bTKZMHfuXKxduzbq8bVr12LhwoW9Pu+vf/0rvvWtb+Evf/kLLrjgguEuJtHAaVrPHOpTT0V9uxuqpo/dlCRwahYRJSWtTd/Lly/H5Zdfjnnz5mHBggV47LHHUFtbi6VLlwLQ+5fr6+vx9NNPA9BD+oorrsBvfvMbfOYznwnXxq1WK+x2e9peB1FCe/YA3d2A1QpMn45D+1rD36qwW2E2KGksHBGNFmkN6ksvvRStra2477770NDQgFmzZmH16tWorq4GADQ0NETNqX700UcRCATwne98B9/5znfCj1955ZV48sknR7r4RH0L9U+ffDKgKNEjvtk/TURJSvtgshtvvBE33nhjwu/Fhu8777wz/AUiGioR/dMAcChiIBn7p4koWVwWiWi4xI345hxqIkodg5poOGha1BrfAGvURDQwDGqi4XDgAOB0AmYzMGMGVE3gSFtkjZpBTUTJYVATDYdQ//RJJwFGI452uOFXe5bVrypi0zcRJYdBTTQc+uifLrNZYDVxahYRJYdBTTQc+hzxzdo0ESWPQU001IToe41v9k8TUQoY1ERDbd8+oL0dMJmAWbMARDd9V7FGTUQpYFATDbV339W/zp+vhzVi51CzRk1EyWNQEw219ev1r2efDQDQNIHDbeyjJqKBYVATDbVQjToY1E2dXnj8WvjbDGoiSgWDmmgo1dXpi53IMrBgAYDoEd8leSbkW4zpKh0RjUIMaqKhFKpNn3IKYLMBiB7xzaVDiShVDGqioRTT7A0AhyIGkrHZm4hSxaAmGkqhgWRnnRV+iHOoiWgwGNREQ6W1FdixQ7995pnhhz9t7AzfnlTCoCai1DCoiYbKhg361xNPBMaNAwB0evw40NxTo549wZ6OkhHRKMagJhoqCZq9a+od4dv5FgMmsY+aiFLEoCYaKgkGktXU9QT1nIl2SJI00qUiolGOQU00FDo7ezbiiKhRfxwR1LMnFIxwoYgoGzCoiYbCpk2AqgKTJgGVleGHP67vCN8+aSL7p4kodQxqoqGQoNm7rduHI23u8P3ZDGoiGgAGNdFQiNmIA4geSFaca8KEAutIl4qIsgCDmmiwOjuB//xHvx0R1B8f6Qjfns2BZEQ0QAxqosF64w3A5wOOPx447rjwwx/XR474LkhDwYgoGzCoiQbr73/Xv37xi1EPR03N4kInRDRADGqiwQgEgH/9S78dEdRNTg8anZ7w/TkcSEZEA8SgJhqM994D2tuB4mJg4cLww5Hzp8tsFoy3WdJROiLKAgxqosEINXtfeCGgKOGHP67rCN/mtCwiGgwGNdFACQG89pp+O6Z/OnIgGRc6IaLBYFATDdSuXcD+/YDJBCxaFH5YCBG9dChHfBPRIDCoiQYq1Oz9uc8BeXnhh+s73Gjr9oXvc8Q3EQ0Gg5pooELN3l/6UtTDkbXpyiIrCnNNI1kqIsoyDGqigWhsBN5/X7994YVR3/ooYkWyOdwxi4gGiUFNNBD//Kc+mGzePGDChKhv/d+nTeHbp1QVjHDBiCjbMKiJBuLVV/WvMaO99zd3YV9TV/j+ohPLRrJURJSFGNREqaqrA15/Xb/91a9GfWvNjmPh29PL8lFVnDOSJSOiLMSgJkrVn/4EaJq+U9b06VHfemNHY/j24pmsTRPR4DGoiVIRCOhBDQBLl0Z9q9HhwfaIgWSLZpaOYMGIKFsxqIlS8a9/AfX1QEkJ8N//HfWttbt6mr0nFlpxYrltpEtHRFmIQU2Uikcf1b9edRVgNkd9a01Ms7ckSSNZMiLKUgxqomQdOtQziOzb3476lsPlx6b9reH77J8moqHCoCZK1h//qM+d/vzngWnTor711u5jCGgCAFCca8Lc6sJ0lJCIshCDmigZfj/w+OP67ZhBZED0tKzPzyiFIrPZm4iGBoOaKBl//ztw7BhQVha3yInHr+Kd3c3h+4tncbQ3EQ0dBjVRfzQN+NnP9NtXXw0YjVHffmd3M9x+FQCQa1KwcGrJSJeQiLIYg5qoP88+C2zfDthswC23RH1LCIFV7+wL3//s9PGwGJURLiARZTMGNVFfXC7grrv023ffrc+fjvDO7mZ8FLGt5XVnTRnJ0hHRGMCgJurLr3+tL3BSXQ3cfHPUt4QQ+PWbe8L3zz1hHE6uLBjhAhJRtmNQE/Xm2DHg5z/Xb69YAVgsUd9+69MmfBxRm172+eNHsnRENEYY0l0Aoox1zz1AVxdw2mnApZdGfUsIgZVv7g3f/9z08ThpCGrTmiaw46gTbS4finJMmFlhg8ypXkRjGoN6DGIYJOGTT/QFTgDgV78C5OjGpzd3NaGmvqc2feGcCqzb0zyo87lxXwtWrduP/U1d8KsCRkXC1PF5uOGcqVg4jSPJicYqSQgh0l2IkeR0OmG32+FwOGCzpW/ThHSFZaphkGo5Uzk+Yy8YOjuB008Hdu0Cvvxl4JVXor4thMCFv9uAHUedAICiXBMsBnlQ4bpxXwvuerUGXd4ACnNMMCkyfKqGdpcfeWYFD3x5NsOaaIxiUKdBumpOqYZBquVM5fihPgexoT+jLB+7GjtTvwjQNOB//gd49VVgwgRg61agNHoBk4ff2osH1/QMIiuwGjAu3zLgcNU0gSuf2IxdDU6U2SxRm3kIIdDo9GJGeT6eump+ZlzIENGIYlCPsHTVnHoLAyEE3D4VzV0+TBmXi5euXwCDQe61nG3dPpgMMq5YUI0zp40LB2Ayr+szU4qx46gTG/a14OlNh+BXtSE5B7GhrwkNqgAUSYIsSaldBDzwgD4Ny2QC1q/Xa9YR1uxoxLef2Rq+b1IkHF+aP6hwralz4PpntiDXbEg4B9vtV+HyBvDo5fMwe6I9iTNCRNmEfdQjSNMEVq3bjy5vICosLbKCMpuMRqcXq9btx2emFEd9uA9FE/GOo07sb+pCYY4p/Hu7vAE0d3rgDWjQBFBT14H/eXQTfrDoeDy6/kBcOQN+AY9fRbvLh4fW7sEzmw5j6vg8XH/2lITHR76uFf/eBbvVhP1NnWjp9kHVBKxGBfkWAYtR6vcc9Cb2AsEX0HDU4UNAFVBkCRMKrTApMnY1dOKuV2v6vgj497+BH/5Qv/3738eF9KeNTix7YXv4viJLmFiYE7edpSRJKMgxYn9TF3YcdfYbrm0uH/yqgElJPAnDrMhwaAJtLl/fJ4OIshKDegQlCsuQ3j7ch6qJODYMurwB1Le7oQoBgyxBlgQCKnCwuQu3vvQxfAENRbnRoR46XpEliODXXQ2dCY+PfF0mg4SdDZ3INxuQbzEAQg85b0BDfbsbEwqtyDMbUg642AsfAGhwuKEJwGSQoGpAa5cPk0pyUGYz930RsGULcNll+u5Y3/42cO21Ud9u7fLi2qe2wOXTlwq1GhVYjDKsvaxClkq4FuWYYFQk+FQNFjn+53lVDUZZQlGOqd+fRUTZh/Ooh4imCdTUObBuTzNq6hzQtPgehWRqTv6ID/dQbXFXgxO5ZgPG55uRazaEa4cb97UkXb7IMBBCoLnTA1UIGGW9eRiQIMsSSvLM6PaqcHr8MCo9zeORx+s7Q+lfy2zxx0cSQsDh8kPTBOxWgx7y0JulDYoETQg0d3ohIBKeg77EXvh4/Bq8AS144SEHLwZUeHxa3EVAlJdeAs4+G+joABYsAH7726hvNzo8uOapLahrdwMAJAm4bfEJsBoV+FQtYdlSCdeZFTZMHZ+HdpcfsT1RQgh0uPyYOj4PMyvSN/iRiNKHQT0ENu5rwZVPbMb1z2zBD/7fR7j+mS248onNcUEaGZaJRH64x9YWLUYFsizBYlRQZjOjy6ti1br9CS8IEokMA7dPDQeaJEkQEFA1AbNBgcUkw2KUoWoCrd0+CIioAJQkCULoYWWQZUiSBJvVAE0T6PQE4n5v6LmKDBgVJfgcQACQgmEfCtPYc9Cf2AufgKbpZQt+X5L0CnJA03923EWAEHqf9Fe/CrjdwPnnA6+/DpjN4d/x1qfHsOQ367H9SEf4sTv+azquXDhpyMJVliXccM5U5JkVNDq9cPtVaJqA26+i0elFnlnBDedM5UAyojGKQT1IqdR6U6k5pdJMnozIMGju8kHPdwFNCARUAVmSkGc24HCrC21dXmgCaHJ6cbC5G51efzgAY0MdAGxmA2RZgtMd/7r8qgZVRF8EmA0yApqAECIqTFMNuNgLn8iLAP2c9lxQADEXAU1NwDe/qQ8cA4Bly4DXXtM33gDgDaj46T934uont6Dd5Q//zq/Pr8K3z54y5OG6cFoJHvjybMwoz4fLG0BTlxcubwAzyvM5NYtojGMf9SCkMjgM0JtqF04twb6mLjQ6PSjIMcGsyPCqGjqCI55DH+7DMcAoFAa/eGM3auo6EFD1dTwsRgV5ZgPaun1QhYAsS5A1PbxdPhUevwpIElQhIDRAliSMyzdDCtZdfZqAzWKAyaCHVkGOEWZFhiegorXbBwlAjlnve5UkCePyLahvd8OvCeg5pod/qgEXuvDZ1dCJMlvPRYDbr8EgC6ia/tosJjl8EXByoYKZj6+EePBBSF1dEIqCoz/9JcpvXwZZltDh8uEvm2vx9MbDaHR6wr/LYpRx7xdn4pJ5leG/c+h8hsYQODS9a2BGeX7UGIJkBwMunFYSHhmfcXPLiShtGNSDkGyt9y+ba/HGjsa46UPt3T7IspTww324BhgtnFaClyYV4X8e3YSDzV0oyTPDYpJxuNUVHFgGqBqQYzKgJN+EZqdXH0AlBISkD6Iab7Mgz6y/dUIBeGKFPTz6e39TF5p9Ktw+FYCAJElo7fLB5VXDz51QaEWT0wO3X4UiS1A1EXcO+hOq1d71ak34AqE414yjDjd8AX2wW3GeCR6/BkNjA67atR7X/eclyC3NAIBdE47Hg0tuwA4xC8UPb0CZzYL39rfA44/umjihNB8PX3YKjivNT3g++wrXVAcDyrLEKVhEFCXtQf3II4/gl7/8JRoaGjBz5kysXLkSZ511Vq/Hr1u3DsuXL8eOHTtQUVGB2267DUuXLh3BEvdIptbb7FPxu7f2QtVEUvORAb0GpgmBwlwT6jvcmFBggSz1/I5QOM4ozx/QACODQcZti0/AXa/WwOEJwKvK8Po1yJIe0qEac57ZgLwSAzrcfjhcPpiDI5wVWYKmibiWgIXTSrBwagn+srkWv3trLyQAJfkm+AMCRx1uuHwqjrS5MKHQCqMiw2JUYLMaE56DZGiaQL7FiEtPq8IbOxrR5PTAH6zda6qG6o5GLKzZgkWfrMecw59ADjbL1xWVY+W5V+LtWefArQEupxeNTm9cN4JRkfCN06txx5Lpfe4x3Vu49ja3PKmpYkREQWkN6hdeeAHLli3DI488gjPOOAOPPvoolixZgp07d6Kqqiru+IMHD+L888/Hddddh2effRbvvfcebrzxRowbNw5f+cpXRrTsqiaCC2roC1KYDfFhHVqoQggFFXa9aVwLTocal2dCU5cP6/Y046tzK9Hh1vtBNx9sxZMbD+FgczdcPhXdvgC6PH6U5FlgtxrgUwUcbj9yTQq+cXpV+Hmpml5uwx1LpuPJjYfwaYMTfk1AkfSm4uI8MywGGYFg32+uSYHbp+Dr86vwwaE2HGzuRrumv45p43PxrQWTcEJZPlq7vNA0gX98dBR+VUOZzQxJkmA0AeV2K1o6PXD7NdS3u1Cca8a08Xm4YkE15k0qghDAsU4PhAA0ISAEwrdVIaBp+ldV0/99eLgdr3xYB0dDM4o7mjHR0YQz3e2Y42nGcXV7ULF/J8yurqjXvL1qJv7fjM/ixdmfh18xAh414bmRJWBCoRV3/Nd0XDCnYkDnN9lukfmTiga2ghoRjRlpXZns9NNPx6mnnopVq1aFH5sxYwYuvvhirFixIu7422+/Ha+99hp27doVfmzp0qX46KOPsGnTpoS/w+v1wuv1hu87nU5UVlYOemWy2lYXfnnVPTipYU//B2e5/mJFCr7FJIioxyQISEJ/XBYaJCGgaBoUoUHRVBg1FYqmwqT6YQl4YQ74YQn4kO/ths3TDZu3G4pIPIIeALyKER+XHYfXT1iI1SecgQbbuH5fhyQB5XYLvAHR6ypp/fU5a5rA37cfxf3/2okckwJ7jjHcnx/i9qto7/aisihXbwngJhxE1Iu01ah9Ph+2bt2KO+64I+rxRYsWYePGjQmfs2nTJixatCjqscWLF+Pxxx+H3++H0WiMe86KFStw7733Dl3BI5x5aDsurVk7LD+bktdhycNR2zjU28ah3jYeO0qn4JOyadhbXIWAEv8WlwCYDTJMBhkev4pAcBCYJEsIqAJGRUZhjiHhAin99TmHvr+j3oF2tx8ON9Du8oe7EkL8AX3JVL/ahVKbZciaxTN2oxMiGrC0BXVLSwtUVUVpzIYHpaWlaGxsTPicxsbGhMcHAgG0tLSgvLw87jl33nknli9fHr4fqlEPhbenzkNrLgf+JCJiapAitLY4Ql9Dj0kQEqBKMjRJhpAkqLKMgGxAQFagygp8RhMCRhP8RjPcihFtBis6LXnoyslDpzkXfpMFkqT3retN5gILp5ZgfpEV+RYjxuWbMS7fDKfbj4fW7obNYoTVZIDbp+JwWzeMigw52C0ROT88dpW0/vqcv3F6FZ57vxZd3gByzQZ9XrkEePxq1ApsQgg0deqtPOPyzOH+74EuoxrCbTKJslPaB5PFjpbW59b2/uGU6PhEj4eYzWaYIxawGCoTC6341fP3he9rmsCuhk5sOtCKv2w+jICqwW41otHhCY8iVmQJFYVW5Jp6PqxPKMvH1WdMwq/W7MGnjZ2QoE+ZMhsUlOSbkWsyhH9+S7cXl39mEt4/2IoDzV0IqAIGRcKUcXm49szJAIB7/rED3d4ACqwmGBUZflVDh9uPXLOCey6aidODU8USef9AK/604aD+s4N90KGf3dvzQq+7w+1DYY4JJ5TmYelzH2J3YydK881xm1UcC77mx6+YBym4FOm1T23Bp43xO0cBCG9uERpRHqqp6v3phriaqqYJNHV5ceUZk3DO8dFN3Zom8K+aBuxq6ITFqPQskCL1zA+PnM6laQLdPhVba9sxoyy/zz7nBocHv39nPwyyFF7OtN3lC04V08c0NHd6kWtWggvOqDAbFFjN0YPUUl1GNYQD14iyV9qCuqSkBIqixNWem5qa4mrNIWVlZQmPNxgMKC7uPYCGgyxLyDVHn755kwrxu7f1Ed7ldiskSUKpXQquka1BEwItnV4YCyR0uALItxhw7gnjcP+/dqHD5YMiS5BlfcUub0BDQ4cnXAsLLf35/Ae1cbtO7TnWhXv/sQM2qxEunxr+3QBgNOjzi+s7PHho7R787MuzMXuCPWFN7bwZpfjsCeOTbjrtrQZ37gnjcLTDjaYuX3hOdWiEeL7FgJvOnQZr8NzV1DlwsKUbRblmyHL8gLyCHCN2HnXg1pc+hl/V+qypAn1PW4udzmUxypCAuPnh3V4VzZ36BZYmBH7/1j78bVs9jrS5el3P3GpS0NDhRkVBz7kPzRcPBOeLe/wBOFx+ONwBSADG28xxfddA6nPkB7rZCxGNDmlbmcxkMmHu3LlYuza6j3ft2rVYuHBhwucsWLAg7vg1a9Zg3rx5CfunR1qiedWhOcNWowJJkuD2q3C49BWn7r94FtbvbUGXN4AJBdbg0p16H2rkOtia0NDe7YMqEBxNHb+kqMMdwJ5jXSjIMUYFSZc3gMNtLnR5A9jZ4MS1TyVe3jQkNNXonOPHYfbExIEO9L0i23Pv1+Ibp1cltcpWX1PchBBQVQ0d7gCcHj9KbWbYrUaYjTI0ASgyotYKT2Zls8gVwNTgydZXWpMxodAKAKhvd8PtVyGEvsOXzapg77FOtLt8+iptiB9/qUgSNOi185Cev70MCEATgMunYsq4XBQEL7QSSXWO/FCvYkdEmSWtTd/Lly/H5Zdfjnnz5mHBggV47LHHUFtbG54Xfeedd6K+vh5PP/00AH2E98MPP4zly5fjuuuuw6ZNm/D444/jr3/9azpfRlhvoZNnNiDXlAuXT1+p6zvnTcMVn6mO+oCVZTlqxS59Ywm9Flbf4dE3gAhoCT+MAT3YfW4NLp8Ki1GBBClmxytAqPrc4KEYsNRfDW793hY8ceVp/U496m1hl9AWnG6fClUAHp+Kw63uYH9z4pqq268ltbJZ5CIlkXtjy5K+AYeqhboqZORbjDjm9MIbUKEJoNHhRZdHjWtyV4WADH1KWaTQ377D7YfLG8APLzgRF80px1VPfRBeUS22eyDVOfLcJpMou6U1qC+99FK0trbivvvuQ0NDA2bNmoXVq1ejuroaANDQ0IDa2trw8ZMnT8bq1atxyy234Pe//z0qKirw29/+dsTnUAOJR9f2tZqYJOm7U+WaFMytKky4TGioBhbaI1oEa2ETCqy4cE45/rzhUNyHcSjQPD4VAnrQON0BlOSZ0NLlDe94JaD3feeYDCgyDq45NNka3K7Gzn77WGOXAZWkyAuMnk02FFmKauoOnye/Fq6pnlhh63XgVKK/1+yJdsyeaMdJE+1YtW4/djU44farkIP935HLqiqSBClYl3b5Aqhv16IGh7l9KvKtRrj9KuwJxll4/BpmTrDjSydXJFxRrbelZJPBbTKJslvaB5PdeOONuPHGGxN+78knn4x77JxzzsGHH344zKXqW299s9efPSUudEIS1ZQSfcCGamAev4ZuXwB+VcMDX54NWZLwzKbDUcdG1pglfccMAIDbF0Bdux7cBlnSm3fVnoFSEgY2YClkKGtwsaFltxrQ5Oyp1crBiwxJkmCQgYCqN3VPKsmJq6mGQjBWf6OhQzXsZzYdxkNv7kFxrgnWiGVVjeFdxjT4Vf0kq5qGJqcHSoElPN4gNOo7mfBNdp3wZCS62AkZ7Cp2RJR+aQ/q0aav0bU//Nsn+MbpVTjS5krqw7q3D1hJkmAxyuhwC8wot2H2BD1II48FEN4jWh9VLMFilMIreGmaCE6Bil4WNDR4aTDNoUNdg4sMrdhabahlwO3Xwnthh7bFtBjluJpqKn+vyOZ/WZZwanUhck2K/jv8ImprT0A/h4osYFIU+FUtarxBKFxnVtiTDt+h2oRjqGvoRJRZGNQpSLZv9v6LZ4U3p+jrwzrVD9jYEcux63OX2/XBUKG+XU3oA6WspvhpTINpDh2OGlyiWm2OWe9rlyQp3HevyPrfweULoMMt+gyhVEdDR76uXJMSnroF9EzfshoNqC62wu3TosYbRNaUUwnfodqEYyhr6ESUWRjUKUi2b9ZuNeGpq+YnvbVhsh+wkcfuqHcgIAQUxM8nzjXlotsbQG27GxajjOpi65Bu6jFcNbjYWm2o9h/Zd+/xaxAA/Gr/u22lMho6NMI99Lo6gntQa8FlTtXgtp/j8s2QJRmyLKLGG8S+jnTsgMVtMomyE4M6Ban0zabyYZ3KB2zo2L7WkpYkCYoio8Cq7xF9zBk/n3mwzaHDVYPrrbaeZzYgx5iD+g4PJhZa+5wPHjKQvvTQ63rknX3YfLAd/oAGRRZRF0OZ3O/LbTKJsg+DOgXDObo2lQ9YWZbwpZMr8Mq2Ouxq6IRdIGpnjN72iB7q5tDhqMH1V1svyDHirvNn4KTKgn5/1kD/XqHXFdqu0xvQUJJngllR4Par7PclohHFoE5BJo2uTbb5ObRH9HA1hw5HDW6oauuD+XvJsoRvfqYaU0pyI8oRYL8vEY24tG5zmQ5OpxN2u33A21z2jCJWE4bjSK+pHDX1KBho2bIRw1DsBDUUfy/uSEVE6cSgHoBMC0cGSd8y7e9FRJQKBvUAMRxHF/69iGi0YlATERFlsLTtnkVERET9Y1ATERFlMAY1ERFRBmNQExERZTAGNRERUQZjUBMREWUwBjUREVEGY1ATERFlMAY1ERFRBmNQExERZTAGNRERUQZjUBMREWUwQ7oLMNJCe5A4nc40l4SIiMa6/Px8SFLfO/mNuaDu7OwEAFRWVqa5JERENNYls5PjmNvmUtM0HD16NKmrmP44nU5UVlbiyJEj3DIzSTxnqeM5Sx3PWep4zlI3FOeMNeoEZFnGxIkTh/Rn2mw2vrFTxHOWOp6z1PGcpY7nLHXDfc44mIyIiCiDMaiJiIgyGIN6EMxmM37yk5/AbDanuyijBs9Z6njOUsdzljqes9SN1Dkbc4PJiIiIRhPWqImIiDIYg5qIiCiDMaiJiIgyGIOaiIgogzGoB+GRRx7B5MmTYbFYMHfuXLz77rvpLlJGWLFiBU477TTk5+dj/PjxuPjii7F79+6oY4QQuOeee1BRUQGr1YrPfvaz2LFjR5pKnHlWrFgBSZKwbNmy8GM8Z/Hq6+vxzW9+E8XFxcjJycHJJ5+MrVu3hr/PcxYtEAjghz/8ISZPngyr1YopU6bgvvvug6Zp4WPG+jlbv349LrroIlRUVECSJPztb3+L+n4y58fr9eK73/0uSkpKkJubiy9+8Yuoq6sbeKEEDcjzzz8vjEaj+OMf/yh27twpvve974nc3Fxx+PDhdBct7RYvXiyeeOIJ8cknn4jt27eLCy64QFRVVYmurq7wMT//+c9Ffn6+ePnll0VNTY249NJLRXl5uXA6nWkseWbYvHmzmDRpkpgzZ4743ve+F36c5yxaW1ubqK6uFt/61rfE+++/Lw4ePCjefPNNsW/fvvAxPGfR7r//flFcXCz++c9/ioMHD4oXX3xR5OXliZUrV4aPGevnbPXq1eLuu+8WL7/8sgAgXn311ajvJ3N+li5dKiZMmCDWrl0rPvzwQ3HuueeKk046SQQCgQGViUE9QPPnzxdLly6Nemz69OnijjvuSFOJMldTU5MAINatWyeEEELTNFFWViZ+/vOfh4/xeDzCbreLP/zhD+kqZkbo7OwUxx13nFi7dq0455xzwkHNcxbv9ttvF2eeeWav3+c5i3fBBReIq6++Ouqx//7v/xbf/OY3hRA8Z7FigzqZ89PR0SGMRqN4/vnnw8fU19cLWZbF66+/PqBysOl7AHw+H7Zu3YpFixZFPb5o0SJs3LgxTaXKXA6HAwBQVFQEADh48CAaGxujzp/ZbMY555wz5s/fd77zHVxwwQX4/Oc/H/U4z1m81157DfPmzcNXv/pVjB8/Hqeccgr++Mc/hr/PcxbvzDPPxP/93/9hz549AICPPvoIGzZswPnnnw+A56w/yZyfrVu3wu/3Rx1TUVGBWbNmDfgcjrlNOYZCS0sLVFVFaWlp1OOlpaVobGxMU6kykxACy5cvx5lnnolZs2YBQPgcJTp/hw8fHvEyZornn38eH374IT744IO47/GcxTtw4ABWrVqF5cuX46677sLmzZtx8803w2w244orruA5S+D222+Hw+HA9OnToSgKVFXFz372M3z9618HwPdZf5I5P42NjTCZTCgsLIw7ZqD5wKAehNityYQQg946M9vcdNNN+Pjjj7Fhw4a47/H89Thy5Ai+973vYc2aNbBYLL0ex3PWQ9M0zJs3Dw888AAA4JRTTsGOHTuwatUqXHHFFeHjeM56vPDCC3j22Wfxl7/8BTNnzsT27duxbNkyVFRU4Morrwwfx3PWt4Gcn8GcQzZ9D0BJSQkURYm7Ompqaoq70hrLvvvd7+K1117D22+/HbW1aFlZGQDw/EXYunUrmpqaMHfuXBgMBhgMBqxbtw6//e1vYTAYwueF56xHeXk5TjzxxKjHZsyYgdraWgB8nyVy66234o477sDXvvY1zJ49G5dffjluueUWrFixAgDPWX+SOT9lZWXw+Xxob2/v9ZhUMagHwGQyYe7cuVi7dm3U42vXrsXChQvTVKrMIYTATTfdhFdeeQVvvfUWJk+eHPX9yZMno6ysLOr8+Xw+rFu3bsyev8997nOoqanB9u3bw//mzZuHb3zjG9i+fTumTJnCcxbjjDPOiJv2t2fPHlRXVwPg+ywRl8sFWY7+2FcUJTw9i+esb8mcn7lz58JoNEYd09DQgE8++WTg53BAQ9AoPD3r8ccfFzt37hTLli0Tubm54tChQ+kuWtrdcMMNwm63i3feeUc0NDSE/7lcrvAxP//5z4XdbhevvPKKqKmpEV//+tfH1BSQZESO+haC5yzW5s2bhcFgED/72c/E3r17xXPPPSdycnLEs88+Gz6G5yzalVdeKSZMmBCenvXKK6+IkpIScdttt4WPGevnrLOzU2zbtk1s27ZNABAPPfSQ2LZtW3jqbTLnZ+nSpWLixInizTffFB9++KE477zzOD0rXX7/+9+L6upqYTKZxKmnnhqefjTWAUj474knnggfo2ma+MlPfiLKysqE2WwWZ599tqipqUlfoTNQbFDznMX7xz/+IWbNmiXMZrOYPn26eOyxx6K+z3MWzel0iu9973uiqqpKWCwWMWXKFHH33XcLr9cbPmasn7O333474efXlVdeKYRI7vy43W5x0003iaKiImG1WsWFF14oamtrB1wmbnNJRESUwdhHTURElMEY1ERERBmMQU1ERJTBGNREREQZjEFNRESUwRjUREREGYxBTURElMEY1ERERBmMQU1ERJTBGNREREQZjEFNRESUwRjURJSU5uZmlJWV4YEHHgg/9v7778NkMmHNmjVpLBlRduOmHESUtNWrV+Piiy/Gxo0bMX36dJxyyim44IILsHLlynQXjShrMaiJKCXf+c538Oabb+K0007DRx99hA8++AAWiyXdxSLKWgxqIkqJ2+3GrFmzcOTIEWzZsgVz5sxJd5GIshr7qIkoJQcOHMDRo0ehaRoOHz6c7uIQZT3WqIkoaT6fD/Pnz8fJJ5+M6dOn46GHHkJNTQ1KS0vTXTSirMWgJqKk3XrrrXjppZfw0UcfIS8vD+eeey7y8/Pxz3/+M91FI8pabPomoqS88847WLlyJZ555hnYbDbIsoxnnnkGGzZswKpVq9JdPKKsxRo1ERFRBmONmoiIKIMxqImIiDIYg5qIiCiDMaiJiIgyGIOaiIgogzGoiYiIMhiDmoiIKIMxqImIiDIYg5qIiCiDMaiJiIgyGIOaiIgog/1/WO1iwaokgHEAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# for simplicity the dimensions of the data , X is 100, 1 only\n", + "\n", + "# creating custom binary classification data\n", + "data_x = np.arange(0, 100)\n", + "X = np.column_stack([data_x, np.ones(data_x.shape)])\n", + "\n", + "# setting the parameters values as 40, 5\n", + "probabilities = norm.cdf(data_x, loc=40, scale=5)\n", + "random_vals = np.random.random(data_x.shape)\n", + "\n", + "data_y = np.where(random_vals < probabilities, 1, 0)\n", + "\n", + "df = pd.DataFrame({'x': data_x, 'y': data_y})\n", + "sns.lmplot(x=\"x\", y=\"y\", data=df, logistic=True, ci=None, y_jitter=0.03)\n", + "plt.plot(data_x, probabilities, color='red', label='original')\n", + "plt.legend()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "in this example I'm using $\\theta^T\\bold{x}$ as $ax + b$ " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# intial theta\n", + "# theta_initial = np.array([-10, -60], dtype='float64')\n", + "theta_initial = np.array([0, 0], dtype='float64')\n", + "\n", + "# writing the function to be maximised\n", + "def sigmoid(x):\n", + " return 1/(1 + np.exp(-x))\n", + "\n", + "def h(X, theta):\n", + " return sigmoid(X.dot(theta))\n", + "\n", + "# h(X, theta_initial)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$$ \\implies \\hat{\\theta} = argmax \\big( \\ell(\\theta) - \\frac{1}{2}{\\theta^T \\Sigma^{-1}\\theta} \\big) $$\n", + "\n", + "to maximize $\\theta_{MAP}$ we will use gradient ascent\n", + "\n", + "using the property $\\nabla_x x^T A x= Ax + A^Tx$ we get,\n", + "\n", + "$$ \\theta := \\theta + \\alpha \\nabla_\\theta(\\ell(\\theta) - \\frac{1}{2}{\\theta^T \\Sigma^{-1}\\theta} ) $$\n", + "$$ \\theta := \\theta + \\alpha \\big( (y^{(i)} - h(x^{(i)}))x_j^{(i)} - \\frac{1}{2} (\\Sigma^{-1}\\theta + \\Sigma^{-T}\\theta) \\big) $$\n", + "\n", + "the equation is for 1 training sample as \\\n", + "for this part, I will be using stochastic gradient ascent\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# prior on theta is suppose N([1,50], covar)\n", + "prior_mean = np.array([1, -50])\n", + "prior_variance = np.array([[9, 0], [0, 25]])\n", + "\n", + "class optimize:\n", + " def __init__(self, X, y, prior_mean, prior_covar):\n", + " self.X = X\n", + " self.y = y\n", + " self.mean = prior_mean\n", + " self.covar = prior_covar\n", + " \n", + " def log_posterior(self, theta, epsilon=1e-8):\n", + " h_array = np.clip(h(X, theta), epsilon, 1-epsilon)\n", + " log_likelihood = self.y.dot(np.log(h_array)) + (1-self.y).dot(np.log(1-h_array))\n", + " log_prior = - np.linalg.multi_dot([(theta-self.mean).T, np.linalg.inv(self.covar), (theta-self.mean)])/2\n", + " log_posterior = log_likelihood + log_prior\n", + " return log_posterior\n", + "\n", + " def update(self, X, y, theta, alpha):\n", + " l2_term = np.linalg.inv(self.covar).dot(theta) + np.linalg.inv(self.covar.T).dot(theta)\n", + " l_term = X.T.dot((y - h(X, theta)))\n", + " return theta + alpha * (l_term - l2_term/2)\n", + "\n", + " def stochastic_gradient_descent(self, theta_initial, learning_rate, epochs):\n", + " t0 = time.time()\n", + " theta = theta_initial.copy()\n", + "\n", + " # storing history for displaying graph\n", + " history_theta = []\n", + " history_log_posterior = []\n", + "\n", + " history_theta.append(theta)\n", + " history_log_posterior.append(self.log_posterior(theta))\n", + " \n", + " for epoch in trange(epochs):\n", + " theta = self.update(self.X, self.y, theta, alpha=learning_rate)\n", + "\n", + " history_theta.append(theta)\n", + " history_log_posterior.append(self.log_posterior(theta))\n", + "\n", + " print(f'done in {time.time() - t0:.3f}s')\n", + " return {'theta': theta, 'history_theta': history_theta, 'history_log_posterior': history_log_posterior}" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "optimizer = optimize(X, data_y, prior_mean, prior_variance)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "efd95ceb84704b2dabdd806030d287bc", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/500000 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(result['history_log_posterior'])\n", + "plt.title('log posterior')" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'MAP prediction')" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.lmplot(x=\"x\", y=\"y\", data=df, logistic=True, ci=None, y_jitter=0.03)\n", + "plt.plot(data_x, sigmoid(np.dot(X, result['theta'])), color='green', label='predicted')\n", + "plt.legend()\n", + "plt.title('MAP prediction')" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'theta1(intercept)')" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(11, 3))\n", + "plt.subplot(1,2,1)\n", + "plt.plot(np.array(result['history_theta'])[:, 0], color='red')\n", + "plt.xlabel('epochs')\n", + "plt.ylabel('theta0(slope)')\n", + "\n", + "\n", + "plt.subplot(1,2,2)\n", + "plt.plot(np.array(result['history_theta'])[:, 1], color='green')\n", + "plt.xlabel('epochs')\n", + "plt.ylabel('theta1(intercept)')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "converged!\n", + "here, stochastic ascent was taking way too longer to converge so I changed to batch only" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Q5\n", + "VC dimension\n", + "\n", + "a. 0 \n", + "the constant function never guarantees to be in any way of a data point\n", + "so all the +, - data points can be on one side only and would never be shattered\n", + "\n", + "b. d+1\n", + "linear classifier of d dimension known result\n", + "\n", + "c. 4\n", + "there exists a set of 4 points on the plane which can always be shattered\n", + "but for 5 points no set of 5 point would satisfy\n", + "\n", + "d. 2\n", + "obviously 2 points can be shattered\n", + "but there is no such set of 3 point which can be shattered in the orientation +-+\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.11.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/assMath/ass2a/aakashks/mixed_guassian_dataset.csv b/assMath/ass2a/aakashks/mixed_guassian_dataset.csv new file mode 100644 index 00000000..ce6d8348 --- /dev/null +++ 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b/assMath/ass2a/readme.md new file mode 100644 index 00000000..a7b539ba --- /dev/null +++ b/assMath/ass2a/readme.md @@ -0,0 +1,89 @@ +# Assignment 2A + +1. A local theatre employs two ticket collectors, Alice and Bob, although only one of them +works on any given day. The number of tickets X that a ticket collector can collect in an hour +is modelled by a distribution which has mean λ, and probability mass function + +P(X = k) = (λ +k +/k!)e-λ + +for k = 0, 1, 2,.... (This distribution is called a Poisson distribution. It is an important discrete +distribution in biology and physics.) Suppose that Alice collects, on average, 10 tickets an +hour and Bob collects, on average, 15 tickets an hour. One day the manager stays home sick. +He knows Bob is supposed to work that day, but thinks there are 1 to 10 odds that Alice is +filling in for Bob (based on Bob’s prior history of taking advantage of Alice’s generous nature +when the manager is away). The suspicious manager monitors ticket sales online and +observes that over the span of 5 hours there are 12, 10, 11, 4, and 11 tickets collected. What +are the manager’s posterior odds that Alice is filling in for Bob? +2. Your friend transmits an unknown value θ to you over a noisy channel. The noise is normally +distributed with mean 0 and a known variance 4. so the value x that you receive is modelled +by N(θ, 4). Based on previous communications, your prior on θ is N(5, 9). +(a) Suppose your friend transmits a value to you that you receive as x = 6. Show that + +the posterior pdf for θ is N(74/13, 36/13). The reading gave formulas for normal- +normal updating, but for this problem carry out the calculations from scratch using + +our usual Bayesian update table and a good dose of algebra. +(b) Suppose your friend transmits the same value θ to you n times. You receive these + +signals plus noise as x1,...,xn with sample mean x ̄. In the reading we gave normal- +normal Bayesian update formulas which apply in this case. For this problem you can + +use these formulas. + +Suppose your friend transmits the same value θ to you 4 times. You receive these +signals plus noise as x1,...,x4 with sample mean x ̄ = 6. Using the same prior and +know variance σ2 as in part (a), show that the posterior on θ is N(5.9, 0.9). Plot the +prior and posterior on the same graph. Describe how the data changes your belief +about the true value of θ. +(c) How do the mean and variance of the posterior change as more data is received? +What is gained by sending the same signal multiple times? Here we want you to +interpret the equations (1). +(d) IQ in the general population follows a N(100, 152) distribution. An IQ test is +unbiased with a known normal variance of 102; that is, if the same person is tested +multiple times, their measured IQ will differ from their true IQ according to a normal +distribution with mean 0 and variance 100. +i) Randall Vard scored an 80 on the test. What is the expected value of his true IQ? + +ii) Mary I. Taft scored a 150 on the test. What is the expected value of her true IQ? +3. Suppose you have a dataset of observations following a Gaussian distribution with an +unknown mean and variance. How would you use MLE to estimate the parameters of the +Gaussian distribution in Python? +4. Suppose you have a dataset of binary classification, and you want to estimate the +parameters of a logistic regression model using MAP estimation with a Gaussian prior on the +model parameters. How would you formulate the likelihood, prior, and posterior +distributions, and how would you find the MAP estimate of the model parameters in +Python? +5. Calculate the VC dimension of the following concept classes(These are fairly trivial cases, I +just want you to have another look at VC dimension): +a. Constant function +b. Linear Function in d dimensions +c. Axis aligned rectangle in 2 dimensions +d. Intervals +Go through these links (reading assignment, lol) + +(Compulsory) https://stats.stackexchange.com/questions/182685/why-is-vc-dimension- +important + +(For people who like math) https://www.cs.columbia.edu/~verma/classes/ml/ref/lec6_vc.pdf +BONUS QUESTION: This is an OPEN-ENDED question and you are supposed to think in depth about +this one. +We have 2 different Gaussian Distributions D1 and D2 and 2 different datasets, each consisting of N +data points were generated from each distribution, unfortunately the 2 datasets were mixed and +now we have a single dataset consisting of 2N data points. Your job is to figure out the mean and +variance of D1 and D2. +(Note: The combined dataset has equal number of points from D1 and D2, and both the +distributions are Gaussian) +i) Try to devise an algorithm/strategy which can achieve this task, try to prove its +correctness and convergence (if possible) + +ii) I am attaching the link of a dataset which has been generated in the above- +mentioned format, figure out the mean and variance of the distributions. + +iii) If you think that this cannot be predicted with high certainty using any ML algorithm, +prove it! +iv) Alternatively, consider an easier problem, what if I tell you the distributions D1 and +D2 but make no comment about the ratio of data points taken from each distribution +(like let’s say I take 3 points from D1 for every point taken from D2), can you predict +this ratio? If yes, mention the strategy you will employ. diff --git a/assMath/probStat/aakashks/assignment1.pdf b/assMath/probStat/aakashks/assignment1.pdf new file mode 100644 index 00000000..8d0c2a15 Binary files /dev/null and b/assMath/probStat/aakashks/assignment1.pdf differ diff --git a/assMath/probStat/aakashks/kalman_assignment b/assMath/probStat/aakashks/kalman_assignment new file mode 160000 index 00000000..959670b2 --- /dev/null +++ b/assMath/probStat/aakashks/kalman_assignment @@ -0,0 +1 @@ +Subproject commit 959670b25295bf8ab661212ebf752cf084b31d1c diff --git a/assMath/probStat/readme.md b/assMath/probStat/readme.md new file mode 100644 index 00000000..20953706 --- /dev/null +++ b/assMath/probStat/readme.md @@ -0,0 +1,40 @@ +# Statistics and Probability Assignment. +Starting with some good questions covering basic statistics of machine learning, + +1. Let $X \leftarrow P(x) = e^{-\lambda} \frac{\lambda^x}{x!}$ and $Y \leftarrow P(y) = e^{-\mu} \frac{\mu^y}{y!}$ and assume that $X$ and $Y$ are independent. Show that the distribution of $X$ given that $X + Y = n$ is ${n \choose k} \pi^x (1-\pi)^{n-x}$ where $\pi = \frac{\lambda}{\lambda + \mu}$ + +2. Let $X_1, X_2, X_3, ...$ be a sequence of random variables such that +$$P(X_n = \frac{1}{n}) = 1 - \frac{1}{n^2}$$$$P(X_n = n) = \frac{1}{n^2}$$ +Does $X_n$ converge in probability? Does $X_n$ converge in quadratic mean? + +3. Let $X$ be a continuous random variable with Cumulative Distribution Function F. Suppose that $P(X>0) = 1$ and that $E(X)$ exists. Show that $E(X) = \int_{0}^{\infty}P(X>x)dx$. + +4. Evaluate the Kellback-Leibler divergence between two Gaussains $p(x) = \mathcal{N}(x|\mu, E)$ and $q(x) = \mathcal{N}(x|m,L).$ + +5. If $(X,Y)$ has the bivariate normal probability distribution function, +$$f(X,Y) = \frac{1}{2\pi(1-\rho^2)^{1/2}} exp\left(\frac{-1}{2(1-\rho^2)} (x^2 - 2\rho xy + y^2) \right)$$ +show that $Corr(X,Y) = \rho$ and $Corr(X^2,Y^2) = \rho^2$. + +6. Let $X$ have the gamma distribution with parameters $n$ and $3$, where $n$ is a large integer. Explain how Central Limit Theorem can approximate the distribution of $X$ by a normal distribution. Also find which normal distribution approximates the distribution of $X$? + + +Now, statistics is obviously a integral part of Machine learning and serves as it's foundation. But it is not the only place it used, one of it's application is Filters. + +## What are filters? +A filter is an efficient optimal estimator (a set of mathematical equations) that provides a recursive computational methodology for estimating the state of a discrete-data controlled process from measurements that are typically noisy, while providing an estimate of the uncertainty of the estimates. + +What it means in English is that, give this filter a series of noisy data filter will give you the best estimate of the true data along with a measure of uncertainity. + +Most Famous of such filters is Kalmann filter, You can read about it [here](https://web.mit.edu/kirtley/kirtley/binlustuff/literature/control/Kalman%20filter.pdf), for intutive undersstanding look [here](https://www.kalmanfilter.net/default.aspx) and [here](https://www.analyticsvidhya.com/blog/2021/10/an-intuition-about-kalman-filter/). Kalmann filter is used in many places such as Finance, Robotics and most important of all (for you) Computer vision. + +So what you have to do for this assignment is create a human tracking system using YOLO. + +## How to go about doing it? +First things first, what is YOLO? In case you don't know what is yolo, don't worry Yolo in it's base form is an object detection model. You don't have to worry much about that I have provided you with the code base [here](https://github.com/PriyanshuPansari/kalman_filter_assignment) and the only thing you have to do is implemnt the kalman filter in Kalman_filter.py to predict the future state of bounding box. + +What YOLO gives is a bounding box, which effectively is a rectangular shape that is used to enclose and define the spatial extent of an object or region of interest, in this case you will be getting 2 points specifying top-left most corner of the box and two values specifying width and height of the box. + +Now that you know what to do, How will you do it? Well thats on you, But the only thing you have to make sure about is that each class function is doing what it is supposed to do based on the comments. + +Tip- Think about what is the state space that you are trying to estimate? +