{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial for analyzing instrumental learning data with the HDDMrl module\n", "This is a tutorial for using the HDDMrl module to simultaneously estimate reinforcement learning parameters and decision parameters within a fully hierarchical bayesian estimation framework, including steps for sampling, assessing convergence, model fit, parameter recovery, and posterior predictive checks (model validation). The module uses the reinforcement learning drift diffusion model (RLDDM), a reinforcement learning model that replaces the standard “softmax” choice function with a drift diffusion process. The softmax and drift diffusion process is equivalent for capturing choice proportions, but the DDM also takes RT distributions into account; options are provided to also only fit RL parameters without RT. The RLDDM estimates trial-by-trial drift rate as a scaled difference in expected rewards (expected reward for upper bound alternative minus expected reward for lower bound alternative). Expected rewards are updated with a delta learning rule using either a single learning rate or with separate learning rates for positive and negative prediction errors. The model also includes the standard DDM-parameters. The RLDDM is described in detail in [Pedersen, Frank & Biele (2017).](http://ski.clps.brown.edu/papers/PedersenEtAl_RLDDM.pdf) (Note this approach differs from Frank et al (2015) who used HDDM to fit instrumental learning but did not allow for simultaneous estimation of learning parameters). \n", "\n", "## OUTLINE \n", "\n", "[1. Background](#1.-Background)
\n", "[2. Installing the module](#2.-Installing-the-module)
\n", "[3. How the RLDDM works](#3.-How-the-RLDDM-works)
\n", "[4. Structuring data](#4.-Structuring-data)
\n", "[5. Running basic model](#5.-Running-basic-model)
\n", "[6. Checking results](#6.-Checking-results)
\n", "[7. Posterior predictive checks](#7.-Posterior-predictive-checks)
\n", "[8. Parameter recovery](#8.-Parameter-recovery)
\n", "[9. Separate learning rates for positive and negative prediction errors](#9.-Separate-learning-rates-for-positive-and-negative-prediction-errors)
\n", "[10. depends_on vs. split_by](#10.-depends_on-vs.-split_by)
\n", "[11. Probabilistic binary outcomes vs. normally distributed outcomes](#11.-Probabilistic-binary-outcomes-vs.-normally-distributed-outcomes)
\n", "[12. HDDMrlRegressor](#12.-HDDMrlRegressor)
\n", "[13. Regular RL without RT](#13.-Regular-RL-without-RT)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Background\n", "Traditional RL models typically assume static decision processes (e.g. softmax), and the DDM typically assumes static decision variables (stimuli are modeled with the same drift rate across trials). The RLDDM combines dynamic decision variables from RL and dynamic choice process from DDM by assuming trial-by-trial drift rate that depends on the difference in expected rewards, which are updated on each trial by a rate of the prediction error dependent on the learning rate. The potential benefit of the RLDDM is thus to gain a better insight into decision processes in instrumental learning by also accounting for speed of decision making." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Installing the module\n", "The new version of HDDM (version 0.7.1) that includes the RLDDM is currently not uploaded to conda. So to install you would either have to use pip:
\n", "'pip install hddm'
\n", "OR
\n", "docker: 'pull madslupe/hddm', which runs hddm in jupyter notebook
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. How the RLDDM works\n", "The main idea of the RLDDM is that reward-based choices can be captured by an accumulation-to-bound process where drift rate is proportional to the difference in expected reward between options, and where expected rewards subsequently are updated in a trial-by-trial basis via reinforcement learning.

\n", "__drift rate on each trial depends on difference in expected rewards for the two alternatives (q_up and q_low):__
\n", "drift rate = (q_up - q_low) * scaling

\n", "_where the scaling parameter describes the weight to put on the difference in q-values._

\n", "__expeceted reward (q) for chosen option is updated according to delta learning rule :__
\n", "q_chosen = q_chosen + alpha * (feedback-q_chosen)

\n", "_where alpha weights the rate of learning on each trial._

\n", "So in principle all you need is the Wiener first passage time likelihood-function. The reason why HDDM is useful (and hence also HDDMrl) is that it automates the process of setting up and running your model, which tends to be very time consuming. So after structuring the data it is simple to run a model with HDDMrl. In particular it separates subjects and conditions (using the split_by-column, see next section) so that the updating process works correctly, which can be especially difficult to do for RL models. " ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Structuring data\n", "The HDDMrl module was created to make it easier to model instrumental learning data with the RLDDM. If you are familiar with using HDDM it shouldn't be a big step to start using HDDMrl. Please refresh your memory by starting with the [tutorial for HDDM](http://ski.clps.brown.edu/hddm_docs/index.html) first (especially critical if you have not used HDDM at all). Running HDDMrl does require a few extra steps compared to HDDM, and because the model includes increased potential for parameter colinearity (typically learning rate and the scaling parameter on drift rate) it is even more important to assess model fit, which will be covered below. Here are the most important steps for structuring your dataframe:\n", "1. Sort trials in ascending order within subject and condition, to ensure proper updating of expected rewards.\n", "2. Include a column called __'split_by'__ which identifies the different task conditions (__as integers__), to ensure reward updating will work properly for each condition without mixing values learned from one trial type to another. \n", "3. Code the response column with [stimulus-coding] (http://ski.clps.brown.edu/hddm_docs/howto.html#code-subject-responses). Although stimulus-coding and accuracy-coding often are the same in instrumental learning it is important that the upper and lower boundaries are represented by the same alternative within a condition, because expected rewards are linked to the thresholds/boundaries.\n", "4. __feedback__-column. This should be the reward received for the chosen option on each trial.\n", "5. __q_init__. Adjusting initial q-values is something that can improve model fit quite a bit. To allow the user to set their own initial values we therefore require that the dataframe includes a column called q_init. The function will set all initial q-values according to the first value in q_init. So this is not the most elegant method of allowing users to set inital value for expected rewards, but it works for now.\n", "\n", "### Required columns in data:\n", "* __rt__: in seconds, same as in HDDM\n", "* __response__: 0 or 1. defines chosen stimulus, not accuracy.\n", "* __split_by__: needs to be an integer. Split_by defines conditions (trial-types) that should have the same variables (e.g. Q values) within subject: the trials need to be split by condition to ensure proper updating of expected rewards that do not bleed over into other trial-types. (e.g. if you have stimulus A and get reward you want that updated value to impact choice only for the next stimulus A trial but not necessarily the immediate trial afterwards, which may be of a different condition) \n", "* __subj_idx__: same as in HDDM, but even more important here because it is used to split trials\n", "* __feedback__: feedback on the current trial. can be any value.\n", "* __q_init__: used to initialize expected rewards. can be any value, but an unbiased initial value should be somewhere between the minimum and and maximum reward values (e.g. 0.5 for tasks with rewards of 0 and 1)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Running basic model\n", "To illustrate how to run the model we will use example data from the learning phase of the probabilistic selection task (PST). During the learning phase of the PST subjects choose between two stimuli presented as Hiragana-letters (here represented as letters from the latin alphabet). There are three conditions with different probabilities of receiving reward (feedback=1) and non-reward (feedback=0). In the AB condition A is rewarded with 80% probability, B with 20%. In the CD condition C is rewarded with 70% probability and D with 30%, while in the EF condition E is rewarded with a 60% probability and F with 40%. The dataset is included in the data-folder in your installation of HDDM." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/IPython/parallel.py:13: ShimWarning: The `IPython.parallel` package has been deprecated since IPython 4.0. You should import from ipyparallel instead.\n", " \"You should import from ipyparallel instead.\", ShimWarning)\n" ] } ], "source": [ "# import\n", "import pandas as pd\n", "import numpy as np\n", "import hddm\n", "from scipy import stats\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import pymc\n", "import kabuki\n", "\n", "sns.set(style=\"white\")\n", "%matplotlib inline\n", "from tqdm import tqdm\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\", category=np.VisibleDeprecationWarning)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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subj_idxresponsecondrttrialsplit_byfeedbackq_init
0420.0CD1.2551.010.00.5
1421.0EF0.7781.020.00.5
2421.0AB0.6471.001.00.5
3421.0AB0.7502.001.00.5
4420.0EF0.7722.021.00.5
\n", "
" ], "text/plain": [ " subj_idx response cond rt trial split_by feedback q_init\n", "0 42 0.0 CD 1.255 1.0 1 0.0 0.5\n", "1 42 1.0 EF 0.778 1.0 2 0.0 0.5\n", "2 42 1.0 AB 0.647 1.0 0 1.0 0.5\n", "3 42 1.0 AB 0.750 2.0 0 1.0 0.5\n", "4 42 0.0 EF 0.772 2.0 2 1.0 0.5" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# load data. you will find this dataset in your hddm-folder under hddm/examples/rlddm_data.csv\n", "data = hddm.load_csv(\"rlddm_data.csv\")\n", "# check structure\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The columns in the datafile represent: __subj_idx__ (subject id), __response__ (1=best option), __cond__ (identifies condition, but not used in model), __rt__ (in seconds), 0=worst option), __trial__ (the trial-iteration for a subject within each condition), __split_by__ (identifying condition, used for running the model), __feedback__ (whether the response given was rewarded or not), __q_init__ (the initial q-value used for the model, explained above)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1500 of 1500 complete in 151.7 sec mean std 2.5q 25q 50q 75q 97.5q mc err\n", "a 1.75114 0.0837255 1.59815 1.69574 1.74802 1.80376 1.92983 0.00291067\n", "a_std 0.41232 0.0656654 0.308913 0.367279 0.405368 0.447927 0.56776 0.00289675\n", "a_subj.3 2.00788 0.102676 1.82598 1.93802 2.00144 2.07171 2.23154 0.00493845\n", "a_subj.4 1.89902 0.0536733 1.8001 1.86271 1.89701 1.93338 2.00713 0.00230884\n", "a_subj.5 1.48871 0.0715107 1.35642 1.43919 1.4863 1.53484 1.63991 0.00325001\n", "a_subj.6 2.40214 0.0937021 2.22399 2.33902 2.40306 2.46714 2.58429 0.00398112\n", "a_subj.8 2.50645 0.143083 2.24263 2.39808 2.50384 2.60774 2.78264 0.00698664\n", "a_subj.12 1.90226 0.0674087 1.77675 1.8556 1.89957 1.94815 2.04225 0.00320297\n", "a_subj.17 1.40972 0.0847752 1.22943 1.35608 1.40973 1.4647 1.58511 0.00491962\n", "a_subj.18 1.91654 0.124726 1.67828 1.83025 1.90977 1.99927 2.18669 0.00673609\n", "a_subj.19 2.08417 0.0794147 1.93045 2.03586 2.07986 2.13421 2.24956 0.00371623\n", "a_subj.20 1.71138 0.0843558 1.54864 1.65762 1.71167 1.76404 1.88942 0.00415579\n", "a_subj.22 1.19208 0.0324851 1.13197 1.17101 1.19101 1.21212 1.26011 0.00145357\n", "a_subj.23 1.93444 0.102446 1.74689 1.86325 1.92864 1.99758 2.15107 0.00503582\n", "a_subj.24 1.69065 0.0895549 1.53553 1.62691 1.68709 1.7483 1.87742 0.0040531\n", "a_subj.26 2.23017 0.0812178 2.08111 2.17227 2.22704 2.2827 2.39238 0.00361254\n", "a_subj.33 1.56584 0.069505 1.43544 1.52022 1.56458 1.61061 1.70839 0.00293951\n", "a_subj.34 1.82111 0.0925344 1.63987 1.75834 1.81963 1.88833 1.99193 0.00392129\n", "a_subj.35 1.83364 0.0910862 1.66166 1.77008 1.83076 1.89022 2.02515 0.00434047\n", "a_subj.36 1.32831 0.0711046 1.19866 1.27959 1.32398 1.3726 1.4815 0.00326779\n", "a_subj.39 1.57092 0.0570179 1.46831 1.53323 1.56933 1.60591 1.69108 0.00254816\n", "a_subj.42 1.72289 0.0780534 1.58344 1.6716 1.71808 1.77379 1.8881 0.003965\n", "a_subj.50 1.46373 0.0561168 1.36497 1.42376 1.46046 1.50046 1.5824 0.00367163\n", "a_subj.52 2.12277 0.0877004 1.9546 2.06291 2.11955 2.17823 2.3141 0.00422443\n", "a_subj.56 1.47434 0.0491814 1.38212 1.44175 1.47195 1.50692 1.57668 0.00236224\n", "a_subj.59 1.30969 0.0844833 1.1589 1.24941 1.31109 1.36849 1.48692 0.00618501\n", "a_subj.63 1.87185 0.0892341 1.71495 1.80829 1.86594 1.93234 2.06417 0.00389064\n", "a_subj.71 1.24574 0.0337506 1.18058 1.22069 1.24465 1.2673 1.31452 0.00144168\n", "a_subj.75 0.980626 0.0403033 0.90314 0.954133 0.978959 1.00467 1.06114 0.00181344\n", "a_subj.80 2.19842 0.0996843 2.00149 2.13232 2.19346 2.26375 2.39521 0.00447729\n", "v 4.15839 0.799926 2.70281 3.61434 4.11883 4.69384 5.82079 0.0512965\n", "v_std 3.17944 0.582619 2.24768 2.73327 3.12028 3.57136 4.51764 0.0380689\n", "v_subj.3 5.40933 2.40655 1.26099 3.71918 5.11575 6.79629 11.0188 0.186314\n", "v_subj.4 0.935868 0.13627 0.687918 0.84222 0.929464 1.02821 1.21449 0.00574671\n", "v_subj.5 5.53473 2.53813 1.29287 3.73108 5.17908 7.11548 11.2961 0.172848\n", "v_subj.6 5.07554 2.29577 1.82701 3.34519 4.68917 6.43253 10.5485 0.187447\n", "v_subj.8 3.19083 1.1531 1.76428 2.43081 2.9948 3.64642 6.33461 0.087577\n", "v_subj.12 1.80427 0.222639 1.40465 1.65858 1.796 1.93888 2.27892 0.00974675\n", "v_subj.17 7.71563 2.30556 3.88888 6.02563 7.55031 9.12299 12.7238 0.182644\n", "v_subj.18 6.87545 1.94651 3.83483 5.50429 6.56637 8.00345 11.3874 0.15955\n", "v_subj.19 11.8954 2.02558 8.68551 10.3678 11.7157 13.1091 16.4924 0.149489\n", "v_subj.20 4.80234 1.28635 2.96684 3.93358 4.52135 5.36143 8.30574 0.109046\n", "v_subj.22 2.21094 0.293277 1.62874 2.02192 2.20417 2.41537 2.7777 0.0132941\n", "v_subj.23 2.8458 1.98089 0.960886 1.48088 2.03871 3.77161 8.22177 0.174202\n", "v_subj.24 5.15582 0.764892 3.67864 4.64563 5.15715 5.65935 6.65519 0.0285252\n", "v_subj.26 0.539671 0.59661 0.254778 0.404612 0.480991 0.553289 0.877278 0.0407894\n", "v_subj.33 2.77334 2.13257 0.295247 1.13338 2.15707 4.00407 8.14233 0.12317\n", "v_subj.34 4.20132 2.39341 1.17239 2.25712 3.63896 5.72171 9.86739 0.177777\n", "v_subj.35 3.17444 1.95745 1.12509 1.74651 2.53013 4.17782 8.26337 0.165034\n", "v_subj.36 3.79907 2.4476 1.36971 2.15898 2.87502 4.67084 10.8683 0.21156\n", "v_subj.39 2.27064 1.97675 0.351198 0.93656 1.50589 3.11784 7.49375 0.1472\n", "v_subj.42 5.47322 2.08405 2.49925 3.95688 5.08889 6.58481 10.7829 0.18176\n", "v_subj.50 5.70079 2.01626 2.97595 4.19379 5.32492 6.75934 10.6905 0.167811\n", "v_subj.52 2.56559 1.27486 1.14649 1.72739 2.22896 3.00905 5.93314 0.103506\n", "v_subj.56 1.87343 1.94759 0.212418 0.6233 1.10997 2.31925 7.51623 0.148776\n", "v_subj.59 11.2906 1.94818 7.97466 9.83034 11.1653 12.6626 15.1351 0.14348\n", "v_subj.63 2.05387 1.17635 0.989297 1.45023 1.76468 2.2066 5.22357 0.0898511\n", "v_subj.71 2.32088 1.91716 0.634099 1.10631 1.53357 2.8856 7.62118 0.163783\n", "v_subj.75 3.76763 0.515318 2.81054 3.40891 3.73677 4.11781 4.78664 0.0226513\n", "v_subj.80 4.15577 2.33956 0.982954 2.46786 3.77248 5.33636 10.1362 0.175881\n", "t 0.434731 0.0449488 0.349777 0.402709 0.432116 0.465472 0.530516 0.00202517\n", "t_std 0.236392 0.0433431 0.169573 0.204342 0.230946 0.263389 0.335781 0.00225172\n", "t_subj.3 1.06328 0.0269397 1.00059 1.04824 1.06656 1.08227 1.10795 0.00125471\n", "t_subj.4 0.527271 0.0172907 0.490716 0.515989 0.527876 0.53992 0.557357 0.000658754\n", "t_subj.5 0.527646 0.014447 0.496233 0.518696 0.528208 0.53814 0.554243 0.000635292\n", "t_subj.6 0.397077 0.0299213 0.336127 0.377453 0.400033 0.418076 0.450114 0.0012808\n", "t_subj.8 0.658242 0.0471014 0.555228 0.629207 0.663679 0.69109 0.739203 0.00230504\n", "t_subj.12 0.409272 0.0138971 0.380402 0.399887 0.409665 0.419001 0.435401 0.0006559\n", "t_subj.17 0.498748 0.0187879 0.465868 0.489276 0.498427 0.505531 0.561609 0.00129853\n", "t_subj.18 0.434937 0.0272817 0.376619 0.418105 0.439607 0.455449 0.477842 0.00145894\n", "t_subj.19 0.419517 0.0147876 0.388266 0.410812 0.420257 0.429526 0.447385 0.000714105\n", "t_subj.20 0.516323 0.0130322 0.48754 0.508106 0.517514 0.524971 0.539053 0.000629322\n", "t_subj.22 0.335449 0.00512245 0.324519 0.33239 0.335702 0.338995 0.34542 0.000217804\n", "t_subj.23 0.481071 0.0256616 0.421632 0.467006 0.483806 0.498627 0.520986 0.00132232\n", "t_subj.24 0.453832 0.0134345 0.427156 0.445554 0.454765 0.463269 0.477105 0.000596106\n", "t_subj.26 0.444783 0.0328836 0.374369 0.423034 0.451583 0.469492 0.495256 0.00151257\n", "t_subj.33 0.195056 0.016176 0.162122 0.185433 0.195017 0.205708 0.226932 0.000650143\n", "t_subj.34 0.343165 0.0315926 0.271023 0.327582 0.343388 0.361161 0.412591 0.00137201\n", "t_subj.35 0.32677 0.0242391 0.277956 0.311416 0.326512 0.340882 0.378627 0.00110084\n", "t_subj.36 0.446884 0.0144441 0.412717 0.440513 0.450059 0.456836 0.467726 0.000633566\n", "t_subj.39 0.618878 0.01217 0.595016 0.611293 0.619984 0.626443 0.641677 0.000581635\n", "t_subj.42 0.393969 0.0156021 0.360875 0.385018 0.394406 0.405246 0.420589 0.000713536\n", "t_subj.50 0.52176 0.020651 0.482413 0.50144 0.530288 0.538845 0.548235 0.00142198\n", "t_subj.52 0.514314 0.0241081 0.464691 0.500631 0.515679 0.528825 0.562804 0.0010807\n", "t_subj.56 0.117367 0.010816 0.0938512 0.110853 0.118345 0.124671 0.13743 0.000534744\n", "t_subj.59 0.380717 0.023454 0.333847 0.363709 0.378302 0.403572 0.415476 0.00188964\n", "t_subj.63 0.476737 0.0209237 0.427639 0.465293 0.478463 0.490654 0.513883 0.000911725\n", "t_subj.71 0.162961 0.00548919 0.150952 0.159712 0.163301 0.166739 0.172795 0.000229584\n", "t_subj.75 0.260312 0.00688929 0.243917 0.257628 0.261829 0.26465 0.27016 0.000329039\n", "t_subj.80 0.0403546 0.0169699 0.0110397 0.0275679 0.0396382 0.0518146 0.07515 0.000796892\n", "alpha -2.4752 0.38727 -3.27381 -2.72039 -2.46563 -2.22027 -1.73132 0.024173\n", "alpha_std 1.50582 0.28705 1.02513 1.30159 1.47813 1.67341 2.16245 0.0177882\n", "alpha_subj.3 -3.44582 0.761229 -4.50645 -3.90142 -3.5688 -3.16481 -1.1172 0.063098\n", "alpha_subj.4 0.237126 0.613602 -0.794058 -0.17478 0.175653 0.598227 1.7028 0.0264375\n", "alpha_subj.5 -3.40368 0.788364 -4.55092 -3.93851 -3.51397 -3.05458 -1.16324 0.0541566\n", "alpha_subj.6 -3.93563 0.597556 -4.97378 -4.34796 -4.0016 -3.55438 -2.62741 0.0500632\n", "alpha_subj.8 -2.3184 0.608761 -3.68071 -2.6901 -2.27008 -1.89455 -1.26035 0.0450248\n", "alpha_subj.12 -0.713202 0.387328 -1.51458 -0.951136 -0.720293 -0.466909 0.1033 0.0170274\n", "alpha_subj.17 -2.98879 0.456849 -3.78019 -3.28732 -3.03176 -2.73572 -1.96528 0.0365151\n", "alpha_subj.18 -2.91076 0.412397 -3.68444 -3.17673 -2.92772 -2.65501 -2.10694 0.0324668\n", "alpha_subj.19 -3.72053 0.228938 -4.18767 -3.86342 -3.71741 -3.56332 -3.28838 0.0162997\n", "alpha_subj.20 -2.40625 0.434508 -3.33223 -2.69369 -2.38142 -2.12126 -1.53731 0.0357525\n", "alpha_subj.22 -0.994157 0.211281 -1.39653 -1.14136 -0.989873 -0.846522 -0.569635 0.00958114\n", "alpha_subj.23 -2.44627 1.09817 -4.44185 -3.36588 -2.36064 -1.63009 -0.449431 0.0952876\n", "alpha_subj.24 -1.48682 0.224823 -1.9422 -1.62148 -1.48105 -1.34561 -1.0569 0.0074061\n", "alpha_subj.26 0.604183 1.36559 -4.01713 0.185604 0.726365 1.29128 2.58996 0.0988941\n", "alpha_subj.33 -3.23136 1.39147 -5.53349 -4.23992 -3.46426 -2.21955 -0.533487 0.086119\n", "alpha_subj.34 -3.0473 0.91459 -4.56504 -3.74049 -3.17223 -2.40633 -1.11687 0.0676703\n", "alpha_subj.35 -2.69845 0.991454 -4.42691 -3.51339 -2.71695 -1.94905 -0.79832 0.083924\n", "alpha_subj.36 -2.18601 1.08057 -4.18804 -3.01064 -2.13118 -1.3696 -0.219222 0.0888798\n", "alpha_subj.39 -3.19389 1.34091 -5.70502 -4.26935 -3.14082 -2.15396 -0.850496 0.101065\n", "alpha_subj.42 -3.2365 0.58383 -4.28719 -3.64026 -3.23312 -2.83965 -2.0334 0.0511965\n", "alpha_subj.50 -3.80546 0.669532 -4.96325 -4.25891 -3.86233 -3.43775 -2.36238 0.0550394\n", "alpha_subj.52 -2.98914 0.634666 -4.32377 -3.40425 -2.95264 -2.53491 -1.8269 0.0504978\n", "alpha_subj.56 -3.65603 1.46117 -6.20744 -4.73829 -3.64526 -2.63292 -0.808278 0.107188\n", "alpha_subj.59 -2.57749 0.239341 -3.02079 -2.73683 -2.58904 -2.41926 -2.10183 0.0153308\n", "alpha_subj.63 -1.87078 0.918292 -3.93444 -2.37009 -1.78878 -1.27689 -0.298987 0.0646095\n", "alpha_subj.71 -2.94137 1.59686 -5.55049 -4.28727 -2.76687 -1.96191 0.648818 0.127415\n", "alpha_subj.75 -1.41741 0.395315 -2.1895 -1.6736 -1.41537 -1.14351 -0.64445 0.0169447\n", "alpha_subj.80 -3.2501 0.804037 -4.57126 -3.78446 -3.33574 -2.83023 -1.42305 0.0617733\n", "DIC: 10122.571164\n", "deviance: 10056.119971\n", "pD: 66.451192\n" ] } ], "source": [ "# run the model by calling hddm.HDDMrl (instead of hddm.HDDM for normal HDDM)\n", "m = hddm.HDDMrl(data)\n", "# set sample and burn-in\n", "m.sample(1500, burn=500, dbname=\"traces.db\", db=\"pickle\")\n", "# print stats to get an overview of posterior distribution of estimated parameters\n", "m.print_stats()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Interpreting output from print_stats:__
\n", "The model estimates group mean and standard deviation parameters and subject parameters for the following latent variables:
\n", "a = decision threshold
\n", "v = scaling parameter
\n", "t = non-decision time
\n", "alpha = learning rate, note that it's not bound between 0 and 1. to transform take inverse logit: np.exp(alpha)/(1+np.exp(alpha))
\n", "The columns represent the mean, standard deviation and quantiles of the approximated posterior distribution of each parameter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### HDDMrl vs. HDDM\n", "__There are a few things to note that is different from the normal HDDM model.__
\n", "First of all, the estimated learning rate does not necessarily fall between 0 and 1. This is because it is estimated as a normal distribution for purposes of sampling hierarchically and then transformed by an inverse logit function to 0\n", "Second, the v-parameter in the output is the scaling factor that is multiplied by the difference in q-values, so it is not the actual drift rate (or rather, it is the equivalent drift rate when the difference in Q values is exactly 1)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Checking results" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting a\n", "Plotting a_std\n", "Plotting v\n", "Plotting v_std\n", "Plotting t\n", "Plotting t_std\n", "Plotting alpha\n", "Plotting alpha_std\n" ] }, { "data": { "image/png": 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", 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", 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", 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QzJPlT63lwvlf7cC4fywJyUwfXC4kkZW0zJo1C7NmzXLaDCLNoHElTr3+dox1YvMHvT21VRC1bS75fh9KymuwauPB+HUqiK2AFNxd6GSerLrAyqZXPtqEXw+X4mBRKfYXnkBllTfm/iSTDRKReLJi9S7y/cdQVlEjfL0sy3hryXYAwNHiyuBxElnJT9u2bdG2bVunzSDSDBpX4tTvmKwYg56DQkSSgpOntkV13tTGNdWVztAGthsJLjs71HgzNVA7HiShxjIVo9rjldU+THrhGwzs2QZTbjsjpv5MlwsjGIuxiNUarx/3/3slendpgSfvPCfi/rTPRU1D4aHA96Rl4sSJTptApCE0rsSp19+OsQa+18ZkhRysfemv9XQZnE4oi1buCb42mr/FM77H0agkdGWZWaTNY1VVo8Qebd4dew4o8+XCunk26pjfeeC45XVae7RL4KGCS/l/PDdHEARBpBP1WmTFOrGp4kXS7i4MOa96ukJ6jalPUV5dtKW2RyNPluhyoSRh0+4j+HpdLBnaw718yYLZc9AK03jmPgvmU4uhrE5daBojj6z+tcry9b/GZSmVIAgi3ajfy4Xx2l0oScHJRzsJBUWYq+49WVqMRZaNJ0vjpXj4pVUAgGED2sdoR0y3JwSR5UJVZMXTfK9u8NnlLdNS57sLtSLLLDFpAisdENEzbdo0AMCkSZMctoRIJ2hciVOvRVbMuws1yUi37z8WOFh7XusNCt4TU4/RYbhcaHdPQgLfk0tlLVt7AJvMlgBDxHL87dbvWKyrZyPcj2z6h+FxfXJVIjkoLS112gQiDaFxJU69FFl5LRrg0NFy9OzUPKZ2tMlIZ32sFIYOjV8JFyrRTqaxLFkZZjW33XwYHk+Wbjw/b4PpuZBlX9WTFQcdpH7+es9VXenPaDSW2XKh9nVNHNNcEPHjvvvuc9oEIg2hcSVOvYzJ6pjXGACQnRmbxjQWUbXnDWOyopxMoxVnkmTsiTFb9tFcEBcOHysPBpFH8hYOHyuPjwFRon3evqDIiv2hqC3oRVZUGd+j6V8WW/oMCXw3fV17verJOny8HEu+35d0Xsv6Sm5uLnJzqa4kEV9oXIlTLz1Z6vd/vHYXap09RpOQFIflwmht9bhdJrsLre9TT8e6WvjP13/QtCn+Hv74zy9j6zhGtM/HF8/i0bLapq6sjsUHcuxEJUrLq/HbsXKs3nwIzRtna5uKihqvH6MnLcBTd52DXp1bWF4bGpOlPV77V03gGb39mZJPi3Vohi4nNYnBQoIgiNSnXoosdUKLORlpMCbLWET5DVM4RNdpJIHRWjxuV1R9Bu+JUWSF7DpLIeeG1lQ13UJ8lgvVNsWXC2/+v89Dzl97QfeY+1dZuHKPrcjauveYpoHal6E7MENF4+8lVdGaSMSRRYsWAQBGjx7tsCVEOkHjSpx6KbJUYk/hYBDYbrRcGIfgcSNT9xwsxpothzB2JDO9z+2SDJeiYs0IL4qZFyTpCUm6GT/LVW/e56v347bL+iA7S/knaOXJ0p9SawjGslyoMci2zx+2HtJcrtl1aWVzEn7ajLEMAK8C6AQgC8DjALYCeB3Kk9gM4E7OuZ8xNgHAnwB4ATzOOV/shM2xsn79egA0GRLxhcaVOPUyJks0LkW0HZdJ0FVtskaEHYsUI6F07/Mr8M7n2y0FU0WV17BPUY0lRTCVF5dWYers1Sgpry0krJ2IRURtVY0P099ZJ9xnogj1SPoNjsbe8IfLd9X2EcHAOFEWvZdI34uZGDJPbWF8TRxTiSWSGwAc5ZyfC+BiADMATAfwaOCYBOByxlgegLsBnA3gQgBPMMayHLI5JkaNGoVRo0Y5bQaRZtC4EielPVmrNhYgv2VDdM6PLPZDnQ8Md90J4vPLWPmTUpNQG5OlXTXR1jbU9x0pRpOwdteb2SbAdq0bRZWMVEXfbo3XD49bMtx1+PGK3fhx229Y8t2+4JJWpN7Cb386iK/X/RrRPfFi/6ET6NAmF5IU6v2LxZPl8/lRVulF44aZAEI/f205mkjGYkw7TfWOLDNPlmkDmpf+EMUVtU11yHwA72v+9gIYAGBF4O8lAEYC8AFYxTmvAlDFGNsFoC+AtXVoa1wYMGCA0yYQaQiNK3ES6slijLVmjP3CGOuRiPZnf7wJi7/dG/mNcQh8/2j5Lvy8U8mxpF0u1JZLMcqTFe1kZDWxGgkZdVJvmpsV1e5CozaPn6jElQ8uwqJv9xjcYSz0ROfh0ZMW4L8fbayTbOZm3PXM1yHliFR8MaRwmDH/Z4z7xxLNDsvaRrIy3cHXkegmOzuOnajE+1/tFEpCayqCTQ8be6/CPGRJqLk456Wc8xLGWC4UsfUoAIlzrlpbAqAJgMYAijW3qscJgiAiImEiKxD/8F8AFYnqA5JxvJEd+uXCT77dg9GTFqAigtIgBw/XJmNza9YDa7wGIkvzlOPpyao9Z3BMIwxiWy6speh35aOMxNNktuXfCEUwO5uXa+cvvwPQ7S5UA9+jaO+bDb8G2ghfoq6q9gVfRyL47a59+s0fMeeTrThwqCTsnLgnK7LlwmQUVUYwxtoD+BrAm5zzdwBoI/ZzAfwO4ETgtf54ysE5B+fcaTOINIPGlTiJ9GQ9C+AVAAWJ6sBlkgPKDvUWvl8pkrvgG8V7cbykUriN8qqa4OvMjFqPhLawcG1MVuxldbSiTpZlLFy5O+RvPeoxvyyH2CRMoEltSSA19kxfd8+M6hofjhabP9PRkxZgy56jIceSJfdpiMdGVbERfHhenx9Pv/kjqr3mmd3fXLIt+LqgSDyDsp0Z6s4+ow0XsQakh8SqWQr/5FNdjLE2AL4A8CDn/NXA4Q2MsaGB1xcDWAngBwDnMsayGWNNAPSEEhSfcsybNw/z5s1z2gwizaBxJU5CRBZj7GYARZzzzxPRvorLZOecHepEs+egsiIQLO4cQVMVlbVer4yM2seoLS8SjMkSzPh++5NL8YnJUtzcL2p/Nez85fdghnltPyr7C0+gLGCfLId610TsAIw9WarHzue3F21b9hzFku/36doM7/OLNftD/k4SjRWaaDOKmKw9B4uDMXtm7WpRxahWsJvbZm1Ptddn2pawJ8v0uFZ8WhiRfBoLAB4G0AzA3xljyxljy6EsGU5ljH0PIBPA+5zzQwD+DUVwfQXgEc65+C+wJKJ79+7o3j36lB9mVNf47C+KkuMnUvJR1ysSNa7SkUQFvt8KQGaMXQDgVABvMMYuC3x5xQ2XJMXkyVJRg7gjEWxaD0Wmp3Yyq9FMyEYpHqw4WFSGVz7ahEvP6RJ2rstJTbBxlxIDduhoWcg5/ftZuvZArQ1+GVUGX4h279RoIncFRZb9c3roP98aNGp7mynHT1Ri0r+/wZQ/noGObRtH35AgoRnfI18u1Atbu8D2SLyNduO0pkZpy2jY6T/XSP/9mC0X6klGTxbn/B4A9xicGmJw7SwAsxJuVIIZO3ZsQtrNzHBj9KQFCWmbSH4SNa7SkYSILM75eerrwK/F2+MtsACE7QKLlNwGSnC4GjMVbd4s7S4x7WS5fvthAPqM8FF1gZZNc4Kvn3krNMWBld2yLBv/6oxhDoz2mQvdZaAMVqz/Fc++rbznD5fvwr1j+0fVvwhGjzKajO96b5/agtlnFRRlAgPE7oqgqI7hMzazU/vZR5LbiyAIoj6S0nmyXK7YPFnqZKR6suIxMRgn/tS8jnLms3LPW2keWQZ++S083sfOjs9X7w9cF3ITgOizz5tN3FphauTzW7UxYWF9poQGvsthx+zweo138Rm18fnqfdj5ixIfKAOYMf8nzPlkq4Vx1n3XBJYLjS7TL/GZ5sMyadsvyygpr8bnq/dZPg+qXUgQBFEHebI450MT1bYsyzh0NPJCwqowq67xwe+Xg8t5Ee3w0ggNs5QGhkQ591TXmC8nWXqyIGPG/J/CjwuuTmmbrqhW4ryiFVlm/G9hbXxZqSaRqUpdBsOr4lM7FvR1BkXw6j1ZgeZKDN7fjPk/h/ytCtybLu1l2LbdOFVjyAw3ROgGYKSfpN8v4/m5G/DD1kM4p1++6XUksZKDqVOnAgCmTJnisCVEOkHjSpyU9mT9ergUew4WG05coqhBwkDtRFjj9eOTVXtNxcTegmJs21dbz+3I7+JZKqKdfGq85p6sb9b/iveW7jA8Z6aHhD1qmon63S+VPvR16kQx0wY/7ywKvn7lo01RtR03ZN3/EZ2o1AszGYrHLqQOoFH3Al0ZbWQQbkt/zKw/k+N+WQ6Od6NYv9q+SWYRBEGkdMZ3lYpKbzC+SgTtBFDj9Yd5sj5esQtvfLoNLpeEi8/sFHb/9n3WEyUQ6ukKzScU+eTzwVc7LSdnVZioWdb1pWwG9GiNdYH4sNrjYn1r9YUq9KJeLjSYuauqfTh2wrpMTCSlfeKF1tJo3q9+R6JskkojfHnZvq9tAuNPacnIk6X7W6B8jhafTw62a5VXjjRWckCeBiIR0LgSJ6U9WUEinIO1E4DfL0NSn4IuViuWrcQhwirqVhRe/2Sr8MQKhHo6ZD/QoklOWM4kUZvUWCEAaNY4G4B9IHhZRY3xCYPbVm0sML/eQbSfn93Ov7GPfopndZsR9OLJTHRElcNMxW4d1aDP8IzvZreaB+gHlz7LzD3I5MkiCIJIE5ElmiLBCJ9frk3hEJgYsjMVB19ltfFyiNX00TwgRELiZkK2vUdtqjBLvtsXfL2noBhfrNkfkpVeb5MV2staN2sAwN6zoy18HEWXYTgd+G63m7K0ogYrNlhnwZdl2fCz14useI4Po6Z2HDiuuyYyT1aNzx/0Gv92zDwekjQWQRBEmoisSDVWSA4knwyXFHo8O1BTrrLaeDnEagJxu8NzSSVD+RG9yBKNydLepcYZRZsDKRW8G7UhWeKeLBEWrdxj+P7D8mlpXvv8smUuIr1g0mPUX3j6D8smwqjx+pCTZf0jxKxvou6ZO3cu5s6d67QZRJpB40qctBBZkcbMaL//7572NYpLq0OOZwUyZVeZTSJWu/kCtph5PyJJ4bD0hwM4Whx56cfeXVrAJQEDerQOHgsTWYJmSBoFW3CkLKJ79aTUvBtj4LteZLy7dIfhJgStyOrRsVnIuKkyEfkqP277zcYGAUMjxOuVLTdhBPuOf9dEFOzYsQM7dhhviiGIaKFxJU5aBL5HOplohU5pRQ1KAzFBajvuQHLRaDw2RmXuQloxi4HR9VVwpBQvvLsBp3VvFbENkgT06tIC2Vm1H6/LFbue/n5TofIipdRSdIR4lKJIRmokqLSf8dn98rG/8ESIl8ztDv2MRMr5VNf4TEvxiHiTRMrnaKnx+cLqMUbbN5F4xowZ47QJRBpC40qctBBZkWYgN/v+ry2DY92uVW/awsxG/ZnumNed2HHgdwCAxyMujgqPlKFty4aQZcVz5dZ4odRlTL2ddhiWZhG2SHefLGPT7iNR3l03BD8/zWcvUqsRUAozN83NUlsKO69tUwLC6krqYwtF8nOVVtSguZnIsjfZ9IeE2b01Xr9Q3TrSWMkBY8xpE4g0hMaVOGmxXBjpr2ZzoaOcscsAb53pWvl/qEAzjs+ysunXwyUAlJqFoqgB52rfnfJra/zpJ/Bvfy4IelGsRKrRpoKolwsBPPLyquhuFuTwsXIs09RujAeinixtUlUjXaZ9bsoYk0NElv5R1wiILG06EVmWQ5cQYxE6ZrshdSKrcUPj1CnkySIIgkgTkRVxzIxgbqCyyhrD+BOruCqjjOGx2BTJRJmh8Xq5JAnNgl4V4JguHcVXP/6C+Ut3YH/hCVz+wEKs2VwYgVnRq6xY5167TQ4PzliJ5+dtiDlYPbRAtJjR+vxkVm1KkvIstJsr9P2IvIcX3/sp2O6KDQcxdfbq2v4EbI5UDH20fBf2HyoJ/t2kUZbhdaSxkoN169Zh3bp19hcSRATQuBInLURWpBOF2ZypTpJqe+u3H8ZD//k2srb96v9NlgtFtVTgQCRiIUMTSyZJCInJMuJYSRV4YIfami3G9buj3UnoFMdKlMSm0Sb1kHX/B6Irq2M0xrTPUoIEWQ7dXKH3KHoFYp9KK2qwt+AEgPC8VSL/LrbuPWa4i9bsh4T+fTXMNh5jca68RETJ4sWLsXjxYqfNIH6C8sAAACAASURBVNIMGlfipIXIivgLXQ7fbQfUTnLa9tTYKP39ZlRWe/H2Z9tDE4KG3CrmRVP/1Ho3+nVrad4xakWVLCu5v3JsRJZLsvc42BW8BpQ4HbudbkDd7jiLua9odheGiOnwe7RlaCRJGQvaY/rYL23gu9WysdpXw5wMMTt1vP/VToM2xe7N8BjHg9H+wuSgf//+6N+/v9NmEGkGjStx0iLwPfKYLBlutws+f+hSoN6TZX6/OTVeP+Z9yUODg43DsyxbVW3QerLO7puPn3eaB463ad4gcK8yiatJVc3Q72Yzwkhg+PwyPl+9Hxee0REA8NaSbfhw+S706tzcsq14xumUllfDLxvEBAU/w+jaXfVzAY6dqAwtEB2HFA4A8KcnltX+EVwurB0n+t2EalweADQWKBuVofs8RTeE/F5iUNYocKvLJVm243Eb+wzJk5UcjB492mkTiDSExpU4aeHJiiZPlpUny2iCXM8PY+kP+4P322EWtBzp3KMNupZsApK09ot4soyegVmbembM/yn4+mBRKQDEVKg7Usb+fQnG/WOJxRXmT7rwSBk+/W6v6Xn9uWiWC+0+ZylwjXa5UN/Pxl21glq/O9QIvSdMdKyVloeXNVI9rm1bNLC819STlWLLzARBEImgfnqyZBkeAy+OKiiM5tQpM78HAFwwqKNQH9opUSQBadhyoUFMlp3IUvN9+VVPVpbZUo6CkMiK6Nlat1eX865VX3+bsdLYexPAq6nPBwBeQREf4rC0uUcKRL5XhywXht6jXXJ2W+Q5++tzK9CjYzOMHKwbm4LPu7zSvHak+XKgQpnJveTJSg5KShRvaG5ursOWEOkEjStxUtqT9dCNpwOIPE+Wzy8jM8NAZAkuF0bqjwoNfDeJyQq7Rzny5Q+16Qi0msho6/z/Fm7Glj1HAVnZXZgTh+VCq2e76xeDeDUL6nJbv1VPJ0rNBRagFkGubcEvmMIh5B6BW2QgZPeq/vGEJiq1FrDb9x8Pr4MoOE437CgKt01dLrQR9lv2HDU+QZ6spGD69OmYPn2602YQaQaNK3FSWmTlBAO9I7vP55eRafALXV1tsY3JEukv1JVle6++T6PrJEnCuIt6AACG9m9n2A7ff1x4d6FIYW0rT9a9z6+IaPdjXUy7wd2BFnbbCaBqnSdLNBlpiB02g0RN4VBtkSdLu1TsEvA6htVB1Jmw52CxbRvBe1WbovyGIE9WctCoUSM0atTIaTOINIPGlTgpvVyoTkqRxmT5/HKwPqEWVVA4MkGY7C7U4nJJGDOCYcwIhlkLNhk2o0zeSkyW0XvUoogH6ze7dqv1rsHXFm8J6duSCJ7r1AlnYsqs78VvULuIw2dXXeML8QJFE/hud4uE8OVCPas2FgRfiyzt6gXvBn4Y3Ts0C/794nsbbNsIErDfbona/HZSWcnApEmTnDaBSENoXImT0p4s9de9XdyQLMt449Ot+OU3ZR3Z75dDEneqmAW+b9t7LORvkYlc0riytBNOpMuFWrTzrJkXSpIkyFAEj533QxtvI0kSTpRVG+ZMsmLhN3uCObbsnovoxPvkneegv6a4dTT8erg06nu9Pp0nS+NRUseQERVVXlRWKc9PyJMF6DK+m39eIiJL78l667Pt4Z2aEOZJDXxW7mhFFmksgiCIFBdZwfI3yjd6eWUN9heeCLvu95IqzF+2E//473cAAL/fj0wjkWVQdxBQAqVDiSEmy/Qa+zZFvApaTxYAZGW6Q85pad44NFv3uH8swX3PrzBs99RukReq1iM68Vp54CTBNKP3Pmf8PqJBu1z43Nz1ptet234YN079DID9e5UkCZXVPny8YreQDdEsF4a1YdGEWTFqsyGnimCjHysAiSwiOTmuq3wRb0TqehL1i5ReLlQnnmVrf0Hfrq3w2KzV2LbvGBZNuzzkOlU0+fy1/880Wi4MerKs+zU73zDbg7JKxZOhnZxCLtf8cbS4Ai2a5Aj3ofVemXqyoMSWqWdD6uXpbPH75bDJ+5ffjD1AjRrYJ7rUmjTq7M5YvMo8TYIVIoIikUiQQoS2VoDYxbFVVClfsiKerLIK8119eox2w+pZuNJasFkJVK/PHyKYVPPNhH2/rq2wfvthc88sqaykYObMmQCAiRMnOmxJcnDj1M8T2r5+7klXaFyJk9KeLDUG5asffwEAbAsUy129uRCfWEzwPp8MTwTLhaKY3qWtaac5PPk/q4wuCVwX3po2CNl0rpeUu43EgH7CjCTUKFLh4zLYDVcl+CtPmzvKMTTPJmSHpcBj+OW3kqjKEVnptwy3C9PuOc/yflXgmXdgfsosF5jZ554V2J17+XknG54njZUcFBYWorDQuC4pQUQLjStxUtqTZZREEQD++doPAIBLz+5seF7ZXWixXGizmcx8yc/6PuWa2osKj5YBUFIvaJf1zDoRWS7csucoDhaVoWu7ZmHn9LcrtoiJJ5GYIC1G2eafnycWeF1tUJRbJRG1FFs2ycaJsuqQnX4hebI0AkRkR+aeg8VCy4VhxyxvAJrlZtv2bYWV7frkueo4NbvF7XZh4bOXQZaBD77eFXZ+6doDuHJY1+iNJeLChAkTnDaBSENoXImT0iLLLndQZZU3JI2BdjeicQoHMU9WpPFTdlcbxeUY7i7UBr6biJ7vNhYG+lcbMl72AhTBIqpZIvVkedwudGrbGPs0MXKHj5UL3XvKyUqNxp6dmge9kyqJEFkutyvs/ZntLhSJA5dl2X650OiYReMuSRLqO1q8Xn3ge22/RkiSaq/x+7TaIEDUHfn5+U6bQKQhNK7ESenlwsG980L+r0f9da6f7/x+v+Vyod1E7rUJMAaAtVsPBV/vOVgc9IaIagTj3YXis6x6qVV3Wo+dXdMifWuvcLkiszekr4DgefLOczDxilNCzkWaeFYEj0sKEzjq4/e4JZ3I0l8Xbo8M66XY8we2F3Ug1iKJL7eaYSWU1fHp9fmxt6A2n5bdRxhtigeCIIj6QEqLLEmS0K19U9M6gUai6Y1Pt8LrMwl8lxF2vRH7D5n9Sq+9T5tC4OMVuzHnk60AgCPFFZZtGzQVRIrAm6Sf/GY8MCy8izh7hbR9uiQJFpVghHC5pLDYtGhyVtnhdrvCdt6pz8blcsHvN18uNHqEsmxyIsB5p51k4skyt1GChCaNsswviBFVZM1esBl3T1se9DqaiygSV6nA8uXLsXz5cqfNINIMGlfipLTIAoCGORnYuPMIXvlwo+k1td4PCfOX7QRgUiA6WFbHus8jvwsKJQ07DhwHALz8/s9C1x8yWFrTTvCrN1sHHQY9WYH3YlQsWpaNM1ctX/dL2DERcVOq2S3ndklx2SWoj4+LplizHUa2qu/W45ZCllnD4toM2vP7/ZaeLL9fjtgDJElAo5wM3DKqd0T3aYW0VZeqyFJzwpWUKcW+1efSvk1odmdyYKUGK1aswIoV8UtnQhAAjatISOmYLADo1r4pftpRZLib0CzvlRnBmCwbQXGsxDjXil03ZRU1OFIslqflx23hmda1E5vdspne42K0dGfWxLR3wnNBiSzTacWnyyVFvVwY2m+oqGqQHZpKQpsTzI7jJyrx9ufbw4673eHLharI0BdmNt48EEpltc/SS1hWUWMoUqxSLKj2Rep99PlleAKxi1afhyqi9bJbvee809rhbU1yU7snLpJygkg8Q4YMcdoEIg2hcSVOyossIw9NkMB8YVgH0ODy2uVF6z4rKiPLiq7a8N+PzL1tImiFQJZN8eev1/2Ku687DepDMJpfI4lvimaZLh6eLH2/zXJDl8z8MmCz/yHIq4u2YPn6X8OOe1yusOdjliQ0LNWGwWOprPZZCntFZBmqLFPUU5EmO/T7ZcC6ulLtdQh/P3qPqP64GV3bNRG0kEgkQ4cOddoEIg2hcSVOyv/cNIqtUrlx6uf4ZNVe7CsIzwJvJABEPV/VJoHvdjKkrCJycaZFa7JdXUJ9oL3R+5VlWTgSP9KAc78/8qDoTm0b46W/nR/ajsa+rEx3mADWerp2//q7ZfumOZ8y3SFeJEkCOuU3BgCc2j00071qT0l5Nb768YCJJ8tr+Vgb5GRg486isOOWMVmBc5EGv+85WIyjgThAK09W2M5aKdT7Ff4+rT/bROwCJQiCSDVSXmSZlfVQeXXhZjz5xloAoZOYVcZ3K0EhyzJqTPI4dczLtbwv1tUzrWiJdDnGaIL9fM1+VFSpGeqtjWvXJrKK635Zjji3VpeTmqB9m9Bn6A/Jth4+2dd4/fjw612oqPJiukXJG8D8mWVmuMM0gywDTRtloVPbxqH2BMbGs2+vw3NzN2DPwWLoqbJZLhzav53h5gmrp6V+PmYC34wHXlyJm//vC9sOapcL1f5C/x+pZnKkyDoRRkFBAQoKCuwvJIgIoHElTsqLLKOkolrMJiWrAtFWS2M1Xr/phHP/uIGm98kw9qRs2nXE9B492vtFiy3XTpoSHptwRsi5ouMVQrXzWjXLQdsWDYXtBBQxFI+YLF9I4LYU5iH59ucCvLZ4C974ZKttvJKZINcngvXLMioqvcjJ8qBl09AEoGoXxwKxdZNfWgU9isgyt8NU0Fo8L/VUJKV4wtqwOGe+XBjwZOljtWy+OaisTnIwa9YszJo1y2kziDSDxpU4CYvJYoy5AcwCwAD4ANzCORerhhsBGQZJRUUwSmRaVePDU2+sRaVFWRermJgG2daP02gOffjl8EnabILSihbh5Ts1FUFgd5qe4yVVtk088edzsGXPUbH+NMQjJqtzfm1sj4RwEaCKjvIqr22mfrPktVkZ7hAB4vcr3srsLHfY+NIvq3kNdjtWVnvDM/jHiCp2rHa2Nsz2oHXzBthrsDwOWKcAqS2CHSq2BvRog+83FWIAa4N3v9yhbc3S3kTkMyMip23btk6bQKQhNK7ESWTg+2gA4JyfzRgbCmA6gLhXz7RbLtRyVLOzz2PwU3zLnqPYvv+4ZRtWMTFWosIXwbb9DTvC43UAc5E17qIeITu/tGg9WdEmjmzTvAG27o1MZGVluiNeHv3D0PAyLGf3rc0sLElSmABVRY7Sl/XEbuZcycoItdUvy6ioUjxZ+vEVTPNh0Y/PL55JX4vlcmHg/7dd3gd3T1tueE1ZpTds96Vo+77gUrnyd2VgGfnU7q2iKnpLjqzkgAr4EomAxpU4CVsu5Jx/DED9JDoCCM9JEAesAt+tGGSQJd7IK6FHK7L692gdcs5KxFTX+ISXz4zifADgZM2OLe0kNmYEs20z1pQKRnc2bphpen1OpidiT5Y+/inMBkkKm7xVceCSJNs4IDMPYUaGC9p36PfLKA+ILH35JZFlMEVkRa4yrAPflZNaz54RVnFwVuOzVrTXBvYDxt5PpS1LMxKSNJYgCCLVSGhMFufcyxibA+BFAO8noo+MKPLxdMkPD7AGgIoq+51bVYGlxDuu6otHbxkUcs5KU1RV+4Q9O0ZLLWNHshBBGenuLUlCTEm6jSZoK9HWqEEm8iKM47LD5Qp/32qJI0mSUHikzPJ+MxGnH0M+vxysexnmyQrocKvH7/fLUYkM6zxZYm0YlYsSaaOiyosDh04E39fy9b/C5ZIMl8B7dGyGM/oYLxfkNsjEGX3yKCaLIAgCdRD4zjm/CUB3ALMYY/GddaF6ISLDLDbnYFGp4XEtasHi1s0ahMXrWHkKarziniyjCUovLtRr7r72VJu2lP+7pBg9WQa3WgU/D+6dh1tG9cJDN54edZ/hNoR7skKXC60xm/c9ntA8WX6/slzYIMsTNr78sozDx8otCyD7fHJUVQFE8mTZYbQMDijjxcrr+8xb63DnM18HS1TVeP2mmen/cdsZpvnpLj27MzI9borJShKmTZuGadOmOW0GkWbQuBInYSKLMTaeMTY58Gc5AD+UAPi4ol/OESGWbNQvf6AkFDXKU2U10bdokhOTJ0sfBKR6VDqfJJb0UYnJMj9v53kw8rJYiUqXS0KGx42z+8WvWrsS+B6ewgEQK0ZtulzodoW8u/JKL46XVKFBdkaYl6tDXi5uf2qZZT8/bD2ENVsOWV5jhNU72FtoHMyux+wHxPPzNmDVz8qW6wtO72B6v0jZIqtnPXYkMxTDhDOUlpaitNT+xyNBRAKNK3ESGfj+IYDXGGPfAMgA8FfOuVhNmQiIJPBdRfVGdW3XBKUVNTh0NLxOYJvmDdC+Ta5heRsgfNs/YD35tG3ZUDjw3Gh+0nuy1L9FvVMul3Xgu9mkqE7IksFjjjaQPlKyM92BUjXA56v3o1v7psFzNYKerOoaH+Z9yQ3PedyukAYOFpXC75fR5aQmYePrpFaNgsIu3ljFsBUIeFkBoGu7pvh+U3hdy69+VOpRZnpchkvlKiLLnPpn/fDNg/Cv138AEIj9M1jWJZzhvvvuc9oEIg2hcSVOwkQW57wMwLWJal/FKgbFjufuHQpZlnHZ/QvDzrld1p4fY0+WdWCxyyMmSowmqPByLgGRZTIxXzeie8jfLsnaU2Lk5TmjTx7uvk5ZjjTyZMUhQ4MQL/1tOA4dK8MjgXQXM+bXFtn2CnqyPl6xG8dOGKer0I8hdQmyQbYnbIktGvFw/YU9sGjlnmAwuRlWTYtuIrj6/G7IbZCBlz4wKeEkSbDaG1lcam2jkS1qbcSuAfFrlM+McIbcXHNBTRDRQuNKnJSvXRhpVnE9ZsLI5ZIsA5GNYlKsTPFHkPF9h0EaCb0IUicxszavH9kDAHD7H07Bq4u3hi0XSlLopG42KQafj2FMVuwqa8YDw5CV4UZpuXmSzVbNctCqWY6hCDkQiI0ysuWJOT+guLQaT955Dt5css20fY/bFfLZaYWb3pMVmitKjLEjGcaOZBg9aUHwmP752yH6rF0uCaxjc/ML5OjSS4T0oRt0ahHtnEA9TbdLsi2yThAEUR9IeZEVj6ziRth5spo1zg47ZuXJ8vnEJzejPFn6e9WYLLP3r07Kl57TBZee0yXMPpFCx9pjRnO8lQgVpWNeYMdfi+ju56ogNTDlu43KstmazeHLZ1o8bilEraqeLDWuLBEY+ZOs4uJExnmvzoq4srrU55dj9jLphaf6Q0dNaEqerORh0aJFAIDRo0c7bAmRTtC4Eifly+o0amCefDEWlNgS49kqt0GmYSyYfnJr3jgr+Novyyivir4kin7Smnzz6Rg5uCPyW4nXFIxUj4Z2WUdrg1FiJUKem7fB8l6PLvBddcJIUnQxf0IY2GslS0Q8tsH4OSux75ej3vl3xZCTMbBnm7D2WwRKD53GlLxxLpd9zjKibli/fj3Wr7eu6UkQkULjSpyU92Q1yM7Aq4+OxK2PfxHXdq0mtSyTtBFhk0+TnGAckM8vo2PLyIosa9E7BjrmNcZfbNI36LESIoZxYJppv45i3KPGSljY5VIz221qtFwYL1ySst0WAJ67dwhqavz438LN5tcLiCyLld0QanQ7CPt2bYmNAjU0/3hZH8Pj7Vrn4j8PDEPr5g2CdlAKh+Rg1KhRTptApCE0rsRJeU8WALRoEr50p+ee606LqE2rDOmiS0i3X9k3+Nrvl5Gdpdxnl9nciLgkd7SYfY12zIUuF4bfbLbpwEzvDOzZxtK8WLDSIB6TtAbB87o8WbVtSjHH/JlT227Xdk3Rs3Nzy6LfkcS/maVxUPH5Qvtp2ijL5EpxOuQ1RnYgJstlUP6IcIYBAwZgwIABTptBpBk0rsRJC5ElMgFlRpi01O0ynngB8R2N2pIkP+0owltLlPqC0cSRxSPGxapfNYeSaZ8Gt158ZifDtsx6mXR9/5C/rxhysqk9kWLlybJbUs3wuIx3T9qkvYgFVfj9dUyt+LfcXShkhxRo23p86stHxWMDg749cmQRBEGkicgSIdJlH5dLCu6a0mOV7VuL2WRnlHPKFgcmLe0OMf00PPz09ubC1SYYX+Wa4d0Nr4sGKw2ieljMUPJkRdamESe1Ei9ooD7ZszQFsK0+YhGNrdprN9b1ubDiLbJouTB54JyDc+P8cAQRLTSuxKk3IivSLO9ul2S77KLlkUAdw1cfHVnbhsn90XhH7DxZt4zqHXw96+ELDK+J1IMW4siK4F6zOdut+QzOO+0kywLTkWL13rx+6+ShZjFbkYqPVx66IEyYvf6P2vGgbU5979rrrZbYzD7/sSNri4OrbUXsyYqzt87tclGB6CRh3rx5mDdvntNmEGkGjStxUj7wXWXaPeehpLwaj81abXg+Uk+Wx+2KKB6nRyA3kRp3BcDQExat08DOk3F2v3y8tngLPG6XaWHmSMWddmLX33rRmZ2w36TUi76f3AaZKCmvDnme8Y51sksEa4V+d6GKXny4XJJtW26XBK8m5qlFk5zg63f+3yVBIfWvO87GzzuLbL1sKtp+T2rVEAeLlGLYRnbberJ0MVmR/JgQweOWhMrzEImne/f4eYsJQoXGlThpI7K6d2hmeT7SfEdWKRz0tG7eAE1zleBh7WRvFHAtSRKqqsVLOF5wegcsXXvA1pOl9mSlo2JJ4aCNWXpr6kVo0ijLXGTp/p4z5UIAcohoMVuKjZajxeYFmW1Flsc4J5r+88/OdKO80mvZlsvlAnzGn29DTYxeXouGYWLY6iPWfv7/709n49bHvzCwObqYrHjHnWW4XcFUEfFeiiQiY+zYsU6bQKQhNK7EqUfLhbVf9i2b5oScM4ql8bjFdpYtfPYyzNYsz4XcYTB5SZKEnCxxwde7i5Kl0y4NgdqxlcWic2nDbEV7m3myap+LcYOTbx4U8neGx4UMjztkwo239+TLHw6Ynjt8PLw2pZYmDbNg9F70z0vEYrudjFZcM7yb6TntUmJuw4ygPVpdptrrthkrPTqFZoSPtwxSN4b4bJZpCYIg0p16JLJq3+qD4weGnHvx/vPDrne7XKaT1Z1X9wu+VsrVSJq/a68zmry8Pj8m3zQID998Ol5+MLxfPUMHtMM1w7th/CU9La8LeokslJSoxyIrsISlndi1AsnOO9GvWyvbPhKXGiEcowLgKs/9dUgwv5Me/fMyc4gNG9AOzQKezFje1zn9TjI9548gPs7OhovO6IjZj4zAuacq/cVS/9MI9d9aogppEwRBpAr1UmTpJ5UMjwutmoV6t9wWnqwzT2lr2o9WgJjNhS2b5uDMU/LR1iR2SovH7cKNl/RCg2zrzPYi+knUkzX89PYAlFgqrR0qepGlTtaR9GPnbYkXfbu2tDxfW9Q4/Fz452+ssu67fgDeeOyiwD3xe18v3Dc0mGvNb7TTU5IwpH+78OM2SJKENs0b4N6xp+F/j45AZoJEltdHwe9OM3XqVEydOtVpM4g0g8aVOPVGZIV4Ygxm1KfvOjfkb6vA96wM8+U+0UBmvU3xwkrgiOwie+3vIzH+4p64/cq+uFuTwFW7vKcKieDylO59WPWiLn/WlSdLdMODkXdI1JOlpVcXi+LMEdLlpCYYPrA9GuZkYPzF4Z5MCcBJrRrhPFXkRhhbleFxo3WzBnGPyVJ/xOhjvwiCIOob9UZkaUWC0ZzSsmkOPnxqdDB7vJLCwfjxZFqILAC49OzOyM60j7uK5+SmthVLi80bZ6Nl0xxIkoRLz+4ckmLBbbFcGCYWLd6XmvW9LkSWxy0JF+VWTdYuBasmPvOXc/H47WeF5A0z489X9bO9xgr9Y8nO8mDe45eEZMvXrwxfMEipWdhTE2v17j8vsfS4ajH7uKbcdoaY0ToyAv/WvLRc6DhTpkzBlClTnDaDSDNoXImTNrsL7fBolnHMy+W40DAnA0eLK+F2u1BWYVzQ2c4DdfuVfXH7lX1RWl4dvcERIrK7UGt3r87NsXXvMeH2Q5YLdUH2kQSIq8HQdbHrzON2YT0/HNE92qBwVbiqx0Q8WVkC4toKl8sFv7AHSLHvNNYai6ZdHnKmQXaGcG44M7GvD5AXpXa5kEQWQRD1m3rpybJSAaoA87gkw1IzkdCoQSZuvKQnuuQ3iakdIaSwF+aXQPFSvHDf0JDzVqkOQmPNrAWSlYDyB+J04p3CwYhIEtCOv7gnPG4JeZogeL23TaQeX6zv65FbBuHkdk3w4v3DTK+Jd1lAs48zWh2sLhfqC1ETBEHUN+qNyNJ6r6xik1Qx5nJLcZkkrhneHe3b5Jqef2xCdEsyekTirbTiqEF2BrqcFCr+fi+tMr3XSLB0DBS67hOIswKAwb3zLG3wBoRcvFM4GBGJyDqjT1t89PRlyM6qde7qxaSYyIrtfQ3s2QbP3zvUsoi4akW8VpuN6jbGQtd2TdG7Swu00qVKIeqeuXPnYu7cuU6bQaQZNK7EqTfLhdqdTiLB4R6Xy3C5Q1vQVxSPp7bDPwztGnJuQI82aNooK0Tg9OjYDNv3H4+4HztimZSNxEP3Ds3w+j9GonnjbLzw7k8A7JcB+57cEu8t3YFTTrbe9RcPYslZBYS/F72jr1+3lrjv+tBK9HW1DAqEj6VokeNcGDOvRUM8eec5cW0zXjDGBgN4inM+lDHWH8AiADsDp1/mnL/LGJsA4E8AvAAe55wvdsjcmNmxY4fTJhBpCI0rceqNyGrWOCv42tKTFZgk3W4JHrcLVQjN3h1NzE2fLi2wbO0vAIwTTuonucYNs8KusSMY+G4xx8cSaG+2DKYtGwPYe9T6dW+FD54cZbt5QIS/jR+Ip9/80fR8rPmfzN7Kad1bYcOOIjTMyUDzxtkx9RENbpcUFoMlQpNGmRjcOzwY3sxBZ5c2JNVgjP0NwHgAZYFD/QFM55xP01yTB+BuAAMBZAP4ljH2Jefc3M2bxIwZM8ZpE4g0hMaVOPVGZGmXjqzEhuqJcLtceOTmQXj45VUh5yNJ0aAy/PQOQU+PkUdIP8nZldAxIrjjTOCaaBBd3hPpIx4CC7D3VEVaFFyP2dKfuqSY7Mk2W+tyv835x4WGO2aNlkFvurRXwuxykN0ArgTwZuDvAQAYY+xyKN6svwIYBGBVQFRVMcZ2AegLYK0D9sYMY8z+bzp+igAAIABJREFUIoKIEBpX4tSbmCwtVkJAnW88bgnt2jQKOy+SmiG8v9oOjSZ+7Rx34RkdY9uVZfHmsjLc6JLfxLJ8ixmisUZ1WavOLsg8VFhH3r6ZGC8tV3adJrvIGndRTzx04+nBv81Skug3PIw6pzOujNNSZDLBOf8AgHbL8A8AHuCcnwdgD4ApABoDKNZcUwKgDnauEASRjtRTkWU/47rdLkNBFI0nS9+unjP61AaLZ2a4oxJZqlCz9mRJeGHSUNx4SeReCtVuO5EpEoAfL4wEXef82oDxfZoC1pHYxToqxcZzsow/699LKwEkv8jK8Lhwdr982+v0jqyu7ZrWl8LOH3HO16mvAZwG4AQA7U6VXAC/17Vh8WLdunVYt26d/YUEEQE0rsSppyLL/Jy6dOJ2GZfVycmOTmT98bI+aJDtMWzzrmtOxYwHhmHMCIYbLuoR0+SdKI2jmt0hz3ynZCL7B4A7rupref6WUb0NY44As4I4xtw/bgCevutcU5GlbqKwS7b54I0DLc8nC+rytFrD8aRW4R7cNOVzxphazXw4gHVQvFvnMsayGWNNAPQEsNkpA2Nl8eLFWLw4ZeP2iSSFxpU4aRuTdc3wbpi/bKfhOSuvhrqrz++XDT1Z+S3t6w0accWQk3HFkJON7XFJ6JjXGB0vUrww0XmyElsnrkF2Bv7+x8FgHZpZXjdycMeE2XDJWZ3x8gcbTc8bPYOBPdvgx22/RdRPXouGyLOoK/mHoV2x+Ns9uGV0b8t2+nRJ/A5KEZo0ykRxqXliXFVkjT6nM07vlVefRNYdAGYwxqoBHAIwkXN+gjH2bwArofwIfYRzXumkkbHQv39/p00g0hAaV+Kkncj6y7WnYv32w7jxkl648ZJeGD1pQfCcxy3B65OFvC2lFTWGS3vxrvNmRGzLUJHZl53pRmW1z/5CAIN6mefAev/JUXC7pJiDzWPBaMPAI7cMQo3Xj7ue/RqHj5XHpZ+Rgzrg4jM72V5Xhyunlsx+ZIRlAlP1nEuS0l5gcc73ATgj8Ho9gLMMrpkFYFbdWpYYRo8e7bQJRBpC40qctFsuHDm4Ix66qTbYt0NebjDQWxVNYok7Q4O9WzfLwczJF8TZWmPUiU5br84OdcfeKV1b2FwZyrCB7SO63oysDHedCCyrZKeyHJ4Ow+N2ISfLgyf/fA4mXR+fX1+i8Up1IchFyM70mC59AgjWZEwWewmCINKFtPNk6fnPA+cHX3tcEqogNpnod1wN7NkGbaNcKoyUv445DZec1Qmndm8tfE9Olgf/eWAY2lgscxkx8YpTsOS7fRFa6ByTbx6ELXuO4J3POfJb1b7XhjkZOO+0k7B07QHD+1o1y8HQAe0x7Z31MdsgKkZSJXbcF3BlpYq9hDglJSUAgNxc61hKgogEGlfipL3I0qImp7TKcD24dx7WbDkEX0Bk3XRpL8z5ZGvMuwojoUF2RkQCS6VDnnkpFjNiLQNT17hdEvp2bYW+XVuh6HgFAOC8U0/CA+MDQeaCoWl/vrofGka5iUGYFPEMqT8o6smOwnrF9OnTAQBTpkxx2BIinaBxJU69EllqXiWfz3wmPqVryxCRVV2jxCtFk+k9FUjlJaJWzXLw+O1noWen5sFjouH/IjFVsZIqmqWi0gsAyEmzDO8E0KhResfYEc5A40qceiWyurVvijVbDlnGDqmeHV9gh58qtqxiWgjn6Netlem5vl2d3d2XKgK2tFLJz5lwzx5R50yaNMlpE4g0hMaVOPXqW3XSuAHYc7AYTXPNawO2aqqUImndTMkZdNWwrqio8uKSszvXiY1OMu6iHk6bEDc8bhf+709hG8fqlNSQWLX5vhrmkCeLIAgintQrkZWT5UHvLta77wb1zsOU287AaUyJiWqQnYGJV5xSF+Y5TqqIAhHGjOjueLyZlCLrhX+59lQs+nYPWMfm9hcTBEEQwiREZDHGMgC8CqATgCwAj3POFyair3gjSVJEqRPSitTQBJbYJWX942V9sPtgdFVS2rZsiMIjZcLXp8rjzGvREBMurx8/JOobM2fOBABMnDjRYUuIdILGlTiJ8mTdAOAo53w8Y6wFgA0AUkJk1WeklJEF5rRrrWwpzjdJqmmWdV+Ef08aaltKB1A2Fcpy6sRkEelLYWGh0yYQaQiNK3ESJbLmA3hf87c3Qf0QcSQdNMGwAe1wUquG6G5T/icasjM9QKb9dS5JCuaeIggnmTBhgtMmEGkIjStxEiKyOOelAMAYy4Uith5NRD8EoUeSJMdjiybfdDo++HoXPO40UK1ESpOfn++0CUQaQuNKnIQFvjPG2gP4CMBLnPN3EtUPET8uPiv9d1DWBYP7tMXgPm2dNoMgCIJwmEQFvrcB8AWAuzjnyxLRBxF/GtEWfoJIK5YvXw4AGDp0qKN2EOkFjStxEuXJehhAMwB/Z4z9PXDsYs55RYL6IwiCIHSsWLECAE2GRHyhcSVOomKy7gFwTyLaJgiCIMQYMmSI0yYQaQiNK3HqVTJSwpy8Fg2cNoEgiDhDngYiEdC4EodEFoFp95yHNs1JZBEEQRBEPCGRRSQkpxRBEM5TUFAAgLbcE/GFxpU4LqcNIAiCIBLDrFmzMGvWLKfNINIMGlfikCeLIAgiTWnblvK1EfGHxpU4JLIIgiDSFCrgSyQCGlfiJJvIcgPAoUOHnLaDIIg6QvPv3e2kHQRBEPEm2URWWwAYN26c03YQBFH3tAWw22kjCCJajp+oRLPG2Qlpu7rGh8wM+h2SaiSbyFoL4FwAhQB8DttCEETd4IYisNZGczNj7BUAywB8zDmviadhqc60adMAAJMmTXLYkvrBjVM/T1jbi6ZdnrC2I4XGlThJJbI451UAvnXaDoIg6pxYPFh3ABgO4EPG2D4AL3DOd8XDqFSntLTUaROINITGlThJJbIIgiCi4F4ApwD4BMBiADMAXOGoRUnCfffd57QJRBpC40ocElkEQaQ6XwN4FUBLACUAbnLWnOQhNzfXaROINITGlTiUjJQgiFTnbwAyAcgA/sM5L3bYHoIgCAAksgiCSH2Occ4PA9gLoNJpY5KJRYsWYdGiRU6bQaQZNK7EIZFFEESq8xZj7GUAswDMcdqYZGL9+vVYv36902YQaQaNK3EoJosgiFTHA6AAyo/GYQBWOmtO8jBq1CinTSDSEBpX4pDIIggi1bkJwBMAvE4bkmwMGDDAaROINITGlTgpKbIYYy4ALwHoB6AKwG3JlheHMZYBZcdTJwBZAB4HsBXA61ACdDcDuJNz7meMTQDwJyiTxOOc88VO2KyFMdYawDoAI6DY9TqS3G7G2GQAl0EJgn4JwAokud2BcTIHyjjxAZiAFHjejLHBAJ7inA9ljHUVtZcxlgPgLQCtEdgJyDkvitEcL4BuAMoDf++PsT2CIIi4kKoxWVcAyOacnwngIQDTHLbHiBsAHOWcnwvgYii5e6YDeDRwTAJwOWMsD8DdAM4GcCGAJxhjWQ7ZDCA48f8XQEXgUNLbzRgbCuCsgD1DALRHCtgN4BIAHs75WQD+D8A/keR2M8b+BmA2ALV+SCT23gFgU+DaNwA8GgeTvoci2joF/iMCcM7BOXfaDCLNoHElTqqKrHMAfAYAnPPVAAY6a44h8wH8XfO3F8AAKN4VAFgC4AIAgwCs4pxXBbae7wLQty4NNeBZAK9AiXMBUsPuCwFsAvARgEVQklKmgt07AHgC3tnGAGqQ/HbvBnCl5u9I7A3+29VcGyvVAE6FsrPwaBzaSxvmzZuHefPmOW0GkWbQuBInVUVWYwDaXDg+xlhSLX1yzks55yWMsVwA70P5xS5xzuXAJSUAmiD8vajHHYExdjOAIs65tghX0tsNJRHlQADXALgdwNsAXClgdykU78t2KLvj/o0kf96c8w+giEGVSOzVHo/XezgLisB6H8CYOLSXNnTv3h3du3d32gwizaBxJU5SCZMIOAFAm3LWxTlPuqBXxlh7KJ6Vlzjn7zDGntaczgXwO8Lfi3rcKW4FIDPGLoDiHXgDylKMSrLafRTAds55NQDOGKuEsmSokqx23wvgc8755MB4+QpKTJlKstqtxa95bWev9ni83kMGgDZQdhY6utSebIwdO9ZpE4g0hMaVOKnqyVoFJZYFjLEzoCwTJRWMsTYAvgDwIOf81cDhDYHYIUCJ01oJ4AcA5zLGshljTQD0hBI87Aic8/M450M450MB/ATgRgBLkt1uKIXFL2KMSYyxfAANASxLAbuPo9azcwyKYEj6caIjEnuD/3Y118bKwwDWB/r4cxzaIwiCiAup6sn6CMAIxth3UAJtb3HYHiMeBtAMwN8ZY2ps1j0A/s0YywSwDcD7nHMfY+zfUCYbF4BHOOfJlrV6EoBZyWx3YOfaeVAmdxeAO6FkAE9quwE8B+BVxthKKB6shwH8iOS3W4vw+AgkDZ3DGPsWSizV9XHoX934kgslFuzGOLRJEAQRM5Isy/ZXEQRBpACMsec55391sP9OAPYuW7YM7dq1c8qMIFOnTgUATJkyJe5tj560IO5txovF068AAIy672OHLYkfi6Zd7rQJQRI5rlKNX3/9FcOHDweAzpzzffrzqerJIgiCAAAwxqZAydGVAUrhQBBEEkEiiyCIVOd1KCLLh9q0IwTI00AkBhpX4pDIIggi1ZkJoAiKyOrCGNvJOb/VYZsIgiBSdnchQRCEynrO+Q2c85sArCGBRRBEskCeLIIgUp0Mxtg9ANygH45Bqmt8+OD99wDEP6/R8RPJsrGVcIK5c+cCoHxZIpDIIggi1XkAwLlQKhVsc9qYZCEzw40dO3YASO6dgETqoY4rwh4SWQRBpDovAGgO4D3G2J85539x2qBkYWd5Z6dNINKQMWOoepUo5FonCCLV8QI4wDlfCPrhGEKxtwmKvU6W5iTSEcYYGGNOm5ESkMgiCCLVKQQwnDH2BpQyRQRBEEkB/eojCCLVKQIwHEqh+BNOG5NMtMw4AgA4UtPSYUuIdGLdunUAgAEDBjhsSfJDIosgiFTnOih1C4sZY+Ccv+G0QclCp5xfAZDIIuLL4sWLAZDIEiGpRBZjLAvA6VDc/z6HzSEIom5wA2gLYC3nvCqSGxljMwE8CaAdgF8TYFtKU1TdwmkTiDSkf//+TpuQMiSVyIIisFY6bQRBEI5wLoBvI7wnm3O+gjH2KiUhDWd/ZXunTSDSkNGjRzttQsqQbCKrEADefvtt5OXlOW0LQRB1wKFDhzBu3Dgg8O8/QvIYY+cBaBv4Pzjn38TTPoIgiGhJNpHlA4C8vDy0a9fOaVsIgqhbogkReBtAZwDzAv+XAZDICpAh1QAAauQMhy0h0omSkhIAQG5ursOWJD/JJrIIgiCE4ZzPcdqGZKZf7hYAwI8nTnXYEiKdmD59OgBgypQpDluS/JDIIgiCSFOq/fQVT8SfRo0aOW1CykD/AgmCINKUjaV9nDaBSEMmTZrktAkpA2V8JwiCIAiCSAAksgiCIAiCIBIALRcSBFFvYIwNBvAU53woY6wrgNeh7EjcDOBOzrmfMTYBwJ+gFJ5+nHO+2DGDY6RnQw4A2FZGxXyJ+DFz5kwAwMSJEx22JPkRElnaLybd8dEA/gHly+hVzvksxpgLwEsA+gGoAnAb53xXXK0mCIKIEMbY3wCMB1AWODQdwKOc8+WMsVcAXM4Y+x7A3QAGAsgG8C1j7MtIM9EnCw3dFU6bQKQhhYXRpLSrn9iKLIMvJvV4BoDnoGRpLwOwijG2CMBZULIwn8kYOwPANACXx9twgiCICNkN4EoAbwb+HgBgReD1EgAjoeTqWhUQVVWMsV0A+gJYW8e2xoWtpd2dNoFIQyZMmOC0CSmDSEyW+sWkpyeAXZzz45zzaijlMM4FcA6AzwCAc74ayi9CgiAIR+GcfwCgRnNI4pzLgdclAJoAaAygWHONejwlKfc3QLm/gdNmEGlGfn4+8vPznTYjJbAVWQZfTCpmX0b64z7GGMV+EQSRbPg1r3MB/A7gROC1/jhBEETExLK70OzLSH/cxTn3xtAPQRBEItjAGBsaeH0xlOL0PwA4lzGWzRhrAsVjv9kh+2ImP6sQ+VkUP0PEl+XLl2P58uVOm5ESxOJh2gagG2OsOYBSAOcBeBbKTp3RAN4LxGRtitlKgiCI+DMJwCzGWCaU77P3Oec+xti/oQguF4BHOOeVThoZC/lZvwEACqraOmwJkU6sWKGEMg4dOtRZQ1KAiEUWY+x6AI045zMZY/cB+BzKl9GrnPODjLGPAIxgjH0HQAJwS1wtJgiCiBLO+T4AZwRe7wAwxOCaWQBm1a1liaGgqo3TJhBpyJAhYf9sCBOERJbui+kdzfFFABbprvUDuD1+JsbGwYMHceTIEfTr1y947MUXX8SgQYMwePBgBy0jCIJILOTBIhIBebDESfuM72vWrMHu3budNoMgCIIgiHpGSu36e/TRR3HrrbeiS5cuuOOOO/DMM8+EVQNfsGAB5s6dCwB48skn8d577+H333/HmWeeiSlTpqCqqgo1NTUYNGhQ8J6Kigo8+OCDOHHiBADglVdeQVFRER588EFUVlZi/PjxGDFiBO69916UlZXhlFNOweTJk3HDDTdAkiRcdNFFeP/995GVlYUZM2agZcuWdfdQCIIgTGjgKgcASuNAxJWCggIAoDQOAqSUJ+vCCy/E0qVLUVpaioyMjDCBBQDLli3DM888g3/9618oLS3Ftddei4kTJ2LDhg0YPHgw5syZg9atW4fcU1hYiGuuuQavv/46unfvjs2bN2POnDl46KGH8N5776GgoADvvvsuRo8ejXfeeQfl5eXYuHEjioqKMHPmTAwZMgTZ2dmYN28eCSyCIJKGXo12oFejHU6bQaQZs2bNwqxZaRG2mHBSSmSdeeaZ+PHHH7F8+XIMGzbM8Jp77rkHzz33HP71r39BkqTg8YKCAjCm1O/q1atXyD3NmzfHp59+ismTJ2Pjxo3w+XzYv38/evToAY/HgzvvvBMHDhxAnz59AAC9e/fGgQMH0LJlS+Tk5AAA2rdvn4i3TBAEETVlvhyU+XKcNoNIM9q2bYu2bSneT4SUElkejwetWrXCwoULcf755xte89lnn+GJJ57A3/72N7z11luQJAmyLKNTp07YunUrAGDHjtBfdh9//DFOP/10PPHEE2jRogVkWUZ+fj4455BlGffffz/atWuHzZuVdDmbNm1Cfn4+XK7ax6d9TRAEkQxsK2NUHJqIOxMnTqTi0IKknDIYOXIkfD4fmjQxrnTRsWNHXHPNNZg6dSquvvpqnHzyyXj99dfRq1cvbN26FePHj0dRUVHIPQMHDsTs2bMxduxYlJeX4+jRo7jtttvw9NNPY8yYMTjnnHNw3XXXYfHixRgzZgxyc3PRv3//uni7BEEQBEGkKP+/vfuPrau87zj+thMnTmI77RpKE4GgiOQrCCMszjagUKK1jLWKAW2ZBKxjIwWKQNtKInWFtY0ytapWkUDbFbUJZHRtl6ijo62z8WOiTUaC0EYCBVL4mpSUkSUgkkJs55cdx/vjXJOLufY9Tu7xc85zPy8pUs6v68+xHz/36+c895yGwcHB6nuNEzM7E9j5+OOPc9ppp4WOIyLjYNeuXXzsYx8D+HDpdjGFlbc+rGPZT0JHCGLDqqsBWLT0x4GT1E7nyqtCR5AKqvVfhfp04XC33347e/fufWe5qamJtWvXBkwkIpIf57ckUxye6z0vcBKJycqVKwFYtmxZ4CT5V+gi6+677w4dQUQktyY16rGxUnu9vb2hIxRGoYssEREZ2S965oaOIBFaunRp6AiFoSJLRCRS/YNNoSNIhFpbW0NHKIzCfbpQREREpAhUZImIROqM5tc4o/m10DEkMp2dnXR2doaOUQgqskREInXKpH2cMmlf6BgSmW3btrFt27bQMQpBc7JERCL160Ph79Ul8Vm0aFHoCIWhIktEJFJ7+/XAeqm99vb20BEKQ5cLRURERDKgIktEJFLTJ+5n+sT9oWNIZNwddw8doxBUZImIRGr21J3MnrozdAypgbe6D2f22n39A2Paf/369axfvz6jNHHRnCwRkUi93d8WOoLUyPUrHs3stcf68Ok5c+ZklCQ+KrJERCK149BZoSNIhK699trQEQpDlwtFREREMqAiS0RERCQDVS8XmlkjcC8wDzgC3OjuO0rbPgSUz367APi8u3/bzJ4Bhj7WstPdb6hpchERGdWCtmcBeLr7gsBJJCYrVqwAYPny5YGT5F+aOVlXA83ufpGZXQisBK4CcPfXgYUAZnYR8BVgjZk1l7YvzCCziIiISO6lKbIuAR4BcPenzGzB8B3MrAH4JvBn7j5Q2meqmT1W+hp3uvtTNcwtIiJVaARLsqARrPTSzMlq4/hlP4ABMxtenHUA2/343ckOAncBVwC3AD+ocIyIiIhItNIUPt1Aa9lyo7sfHbbPp4Cvly13ATvcfRDoMrN9wEzgtZMJKyIiIlIUaUaytgCfBCjNyXq+wj7twJNly0tI5m5hZrNIRsP2nFRSEREZk7OnvMLZU14JHUMis27dOtatWxc6RiGkGcl6CLjczJ4EGoAbzOw6oMXdV5vZKUBPadRqyP3AA2a2GRgEllQY/RIRkQy9r6k7+c+hsDkkLl1dXaEjFEbVIsvdj5HMqyr3Utn2N0lu3VB+TB9wXS0CiojIiXn54IdDR5AIXXPNNaEjFIYmo4uIRGr/0emhI0iEzCx0hMLQHd9FREREMqAiS0QkUjOa9jKjaW/oGBKZrVu3snXr1tAxCkGXC0VEInXmlF0A7O2fETiJxGTDhg0AtLe3B06SfyqyREQi9WbfB0JHkAjNnz8/dITCUJElIhKpVw+fHjqCRKijoyN0hMLQnCwRERGRDKjIEhGJVFNDP00N/aFjSGR6enro6ekJHaMQVGSJiERqXut25rVuDx1DIrNq1SpWrVoVOkYhaE6WiEik+o6pi5faa2lpCR2hMPQbKCISqed6zwsdQSK0bNmy0BEKQ5cLRURERDKgIktEREQkAyqyREQidc4055xpHjqGRGb16tWsXr06dIxC0JwsEZFITZtwKHQEidCePXtCRygMFVkiIpH6Ze+c0BEkQjfddFPoCIWhIktEJFIHj00NHUEiNGvWrNARCkNzskREREQyoCJLRCRSsybvYdZkzZ+R2tq4cSMbN24MHaMQVGSJiERq1uQ3mDX5jdAxJDKbNm1i06ZNoWMUguZkiYhEaveRU0NHkAhddtlloSMURm6LrMWLFwPw4IMPBk4iIlJMu4/MDB1BIrRw4cLQEQpDlwtFREREMlB1JMvMGoF7gXnAEeBGd99Rtn0p8GngzdKqzwAvj3aMiIhkb2rjQUC3cpDa2r17N6BbOaSRZiTraqDZ3S8CPg+sHLZ9PnC9uy8s/fMUx4iISMbObeni3Jau0DEkMmvWrGHNmjWhYxRCmiLrEuARAHd/ClgwbHs7cIeZbTazO1IeIyIiGTswMIUDA1NCx5DIzJw5k5kzNd8vjTQT39uA/WXLA2Y20d2PlpbXA98CuoGHzGxRimNERCRjLx6w0BEkQjfffHPoCIWRpsjqBlrLlhuHiiUzawDucff9peV/B35ntGNERERE6kGaImsL0AH80MwuBJ4v29YGvGBm5wAHgD8A1gJTRjlGRCQ3zOwZjo+87wS+AjwADAIvALe5+7Ew6USkyNIUWQ8Bl5vZk0ADcIOZXQe0uPtqM7sT+DnJpwgfd/f/KH0i8V3HnGhA3S9LRLJiZs0A7r6wbN1PgS+4+0Yz+zZwFUk/WDjnt7wAwHO95wVOIjFZuTL5LNuyZcsCJ8m/qkVW6S+4W4atfqls+/eA76U4RkQkb+YBU83sMZL+8E6SD/MMPTPkYeAPKWiRNalRszSk9np7e0NHKIzc3vFdRGQcHATuAu4DZpMUVQ3uPlja3gNMD5TtpP2iZ27oCBKhpUuXho5QGCqyRKSedQE7SkVVl5ntIxnJGtIKvB0kWQ30DzaFjiARam1trb6TAHqsjojUtyWUbpZsZrNIPszzmJktLG3/BPBEmGgiUnQayRKRenY/8ICZbSb5NOESYC+wxswmAS8Chf3UzRnNrwHw6uHTAyeRmHR2dgLQ0dEROEn+qcgSkbrl7n3AdRU2XTbeWbJwyqR9gIosqa1t27YBKrLSKFSRpds5iIik9+tDp4WOIBFatGhR6AiFUagiS0RE0tvbPyN0BIlQe3t79Z0E0MR3ERERkUyoyBIRidT0ifuZPnF/9R1FxsDdcffQMQpBRZaISKRmT93J7Kk7Q8eQyKxfv57169eHjlEImpMlIhKpt/vbQkeQCM2ZMyd0hMJQkSUiEqkdh84KHUEidO2114aOUBi6XCgiIiKSARVZIiIiIhlQkSUiEqkFbc+yoO3Z0DEkMitWrGDFihWhYxRCIYusxYsXv3P3dxEREZE80sR3EZFIPd19QegIEqHly5eHjlAYhRzJEhEREck7FVkiIiIiGVCRJSISqbOnvMLZU14JHUMis27dOtatWxc6RiFoTpaISKTe19Sd/OdQ2BwSl66urtARCkNFlohIpF4++OHQESRC11xzTegIhaEiS0QkUvuPTg8dQSJkZqEjFEbVIsvMGoF7gXnAEeBGd99Rtv1a4LPAAPAccKu7HzOzZ4D9pd12uvsNtQ4PvHO/rAcffDCLlxcRERE5IWlGsq4Gmt39IjO7EFgJXAVgZlOALwO/7e4HzWwdsMjMHgNw94XZxBYRkWpmNO0FYG//jMBJJCZbt24FoL29PXCS/EtTZF0CPALg7k+Z2YKybUeAi939YNnrHSYZ9ZpaKrYmAne6+1O1i12ZRrVERI47c8ouQEWW1NaGDRsAFVlppCmy2jh+2Q9gwMwmuvtRdz8GvAFgZn8FtAD/CZwH3AXcB8wGHjYzc/ejNU0vIiIjerPvA6EjSITmz58fOkJhpCmyuoHWsuXG8mIACbTXAAAK2klEQVSpNGfra8Ac4E/cfdDMuoAd7j4IdJnZPmAm8FrtoouIyGhePXx66AgSoY6OjtARCiPNzUi3AJ8EKM3Jen7Y9u8AzcDVZZcNl5DM3cLMZpGMhu2pRWARERGRIkgzkvUQcLmZPQk0ADeY2XUklwafBj4NPAH8rPSxzq8D9wMPmNlmYBBYokuFIiLjq6mhH4D+wabASSQmPT09ALS2tlbZU6oWWaV5V7cMW/1S2f9HGg277kRDiYjIyZvXuh2Ap7svCJxE8uyt7sO8v6059f6rVq0CYPny5VX37esfYFLThBPOVnTR34xUnzgUkXrVdyz6Ll5q4PoVj45p//NbknbVsewnVfftXHnVCWWKhX4DRUQi9VzveaEjSITUrtJLM/G9cBYvXvzOCFaldZW2i4iIiNRSlEVWWiq2REREJCt1XWSJiMTsnGnOOdM8dAyJjNpVepqTNYwmyotILKZNOBQ6gkRI7So9FVklumwoIrH5Ze+c0BEkQmpX6anIEhGJ1MFjU0NHkAipXaWnOVkiIiIiGdBI1iiGX0LUPC0RKZJZk5NHxu4+MjNwEomJ2lV6GskaI932QUSKYtbkN5g1+Y3QMSQyalfpaSRLRCRSu4+cGjqCREjtKj0VWSIikdLlHMnCWNrVWB8+PRZFePi0iiwRERHJxFgfPj0WRXj4tOZk1YDmaYlIHk1tPMjUxoOhY0hk1K7SU5F1gkYqrFRwiUhenNvSxbktXaFjSGTUrtLT5UIRkUgdGJgSOoJESO0qPRVZIiKRevGAhY4gEVK7Sk+XC0VEAunrH8jstd/qPpzZa4tIOhrJCmRo3pbuIi9SvyY1TaBj2U9CxxCRjGgkKyPlE+DHOhlek+dFpBbOb3mB81teCB1DIqN2lZ5GskREIjWp8WjoCBIhtav0VGSNo0qXCMvXjXRLiOHHiIik8YueuaEjSITUrtKrWmSZWSNwLzAPOALc6O47yrZ3AF8CjgJr3X1NtWOk+Oq5+Kvnc5di6R9sCh1BIqR2lV6akayrgWZ3v8jMLgRWAlcBmFkTcDfwu8ABYIuZdQIXj3SMnLxav8lXGk1TAfFemicnIiJjkabIugR4BMDdnzKzBWXbzgF2uPtbAGa2GbgUuGiUY6r62vefpu/Uy9+17o57N4+6rtr28ViX5Wtfedt3AJg7d+67vl4tVMpf/vW2b9/+rv2zyFAElX4+lQx9v+bOnTvqumrH1IsD3XtDR4jWGc2vAfDq4dMDJ5GYqF2ll6bIagP2ly0PmNlEdz9aYVsPML3KMalUerOptu5Ejqn1uvH8euVvzJUKobFsD51hPNad7OuMVgCVf42xfr/Kjwn1/Qr583m5S4/nyMopk/YBejOU2lK7Si9NkdUNtJYtN5YVS8O3tQJvVzmmqs99agGnnXZa2t3r1uLF9wDw1W995p3/Dylfl2Z76AzV1iUDqscv2Z3I6518hpGl/V5WylJ+TK2yjvf35mTWXXnl15Bs/PqQ+lGpPbWr9NIUWVuADuCHpflVz5dtexGYbWa/BfQCHwXuAgZHOUZqJA/zprLMUO21x+P8036NE8lyMsdofpiksbd/RugIEiG1q/TSFFkPAZeb2ZNAA3CDmV0HtLj7ajNbCjxKcmPTte7+f2b2nmMyyi8lad98y9/Ya12kVMtQiwJhvArLUAVs2p9PHgpsEREZXdUiy92PAbcMW/1S2fZOoDPFMSKZy/tITxbFkQouGcn0icnU2P1HpwdOIjFRu0pPNyOtE+P5RlzUN/2i5hYZyeypOwF4uvuCwEkkJmpX6anIikwMhcJ4n0MM3zORSt7ubwsdQSKkdpWeiizJVB4KmDxkCKWez11gx6GzQkeQCOWlXb3VfZj3tzVn8tp9/QNMappw0q+jIitieX2DrTS5u9ZzqPJ67uOl0vnnfb6aiMhYXL/i0cxeu3NlbR5SoyJL6lK9F2EyOj1/VURqQUWW5ELst2aQwhnxma1FsqDtWUATlKW21K7Sy1uRNQHg9ddfD51DJFp9fX0A7Nq1q+L/h4xl3T33JHdyv/XWW8d8bH9//9DiyU+AqJ3Rntk6mjH3Yf0HfzPmcGn1NvZm/jXyaOLE5K2t3s57vNRDu9q1a1eq/cp+1yv2Xw2Dg4M1inTyzOwS4InQOUQkiEvdPRdPHDez+4AfufvDpeX/Bc6q9ngw9WEidati/5W3kaz/AS4F9gADgbOIyPiYAMwk+f3PixN9/qr6MJH6Mmr/lasiy92PALn4S1ZExtWvQgcYZrRnto5IfZhIXRqx/8pVkSUikhN6/qqInLRczckSERERiUVj6AAiIiIiMVKRJSIiIpIBFVkiIiIiGVCRJSIiIpIBFVkiIiIiGcjNLRyK/kBWM2sC1gJnApOBLwO/BB4ABoEXgNvc/VigiGNiZh8EtgKXA0cp7nncAVwJTCJpX5so4LmU2td3SdrXAHATBfy5mNnvA//g7gvN7Gwq5Dezm4DPkJzfl919Q7DAAVXqU9z9p0FDBWZmE4A1gJH8Htzg7nm7x1oQ5X22u78UOk8emNkzwP7S4k53H/dbseRpJOudB7ICnyd5IGuRfArY5+6XAp8A/hFYBXyhtK6BgjxgttS5fwc4VFpV1PNYCFwMfAS4DDidgp4L8ElgortfDPw98BUKdi5m9jngPqC5tOo9+c3sQ8Bfk/zMrgC+amaTQ+TNgUp9Sr3rAHD3jwBfImlDda9Cn133zKwZwN0Xlv4Fudddnoqsdz2QFUj7QNa8+Ffgi2XLR4F2kpETgIeBj493qBN0F/BtYHdpuajncQXJnbofAjqBDRT3XLqAiaUR3zagn+Kdy6+APy5brpT/94At7n7E3fcDO4DzxzVlflTqU+qau/8YuLm0eAbwRsA4eTK8z5bkqthUM3vMzH5WenLDuMtTkdXG8WE9gAEzy83lzGrcvdfde8ysFXgQ+ALQ4O5Dd3vtAaYHC5iSmf0l8Ka7P1q2unDnUTKDpFj/U+AW4Ackz6Ar4rn0klw2eonkcsk3KNjPxd1/RFIcDqmUf3g/kPvzysoIfUrdc/ejZvZd4Jsk35e6NkKfLXCQpPi8glL/H6KmyFORdaIPZM0NMzsd+DnwPXf/F6B8fkwr8HaQYGOzhORxIhuBC4B/Bj5Ytr0o5wGwD3jU3fvc3YHDvPsNu0jncjvJucwh+QvtuyTzzIYU6VyGVPr9GN4PFPG8aqZCnyKAu/8FMAdYY2bTQucJ7D19dumye73rAr7v7oPu3kXyfjBzvEPkqcjaQjLvhLE8kDUvzOxU4DHgb919bWn1M6V5QZDMqXgiRLaxcPePuvtl7r4QeBa4Hni4aOdRshn4IzNrMLNZwDTg8YKey1scH+H5DdBEAdvXMJXy/zdwqZk1m9l04BySSfF1Z4Q+pa6Z2Z+XPswCyUjFMZIJ8HWrUp/t7q8HjpUHSyjN7S71/23AnvEOkafLcUV/IOudwPuBL5rZ0DyKvwG+YWaTgBcp7tD2MpK/GAt1Hu6+wcw+SvLG3QjcBuykgOcC3A2sNbMnSEaw7gSeppjnMuQ97crdB8zsGyQFVyPwd+5+OGTIgCr1KZ9w93qe3PxvwD+Z2X+R/KHx2TpuHzK6+4EHzGwzySeYl4S4OqYHRIuIiIhkIE+XC0VERESioSJLREREJAMqskREREQyoCJLREREJAMqskREREQyoCJLREREJAMqskREREQyoCJLREREJAP/D+lUgtxvykZbAAAAAElFTkSuQmCC", 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", 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", 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ZmguDU2689Un8mfln/E/z1bKNgL+p265s+jcnnLN27VrWrnV+ahfhLDeXg0adZNmdwuGbHzdRVZ2eIe7x/Ov1b6K2rdm4K63XSEfnb7Nai8jO08HbGnz4Gt+SSO3h6g3+DuS709Ck9fgLi1I+R2Pw3sJVPPj8wlBZMP7utuzwTzb76twfmb9kLQ9NWmh5nqlvfc+d//cJkFhN1idL3PmFKsJNmDCBCRMmOB2GcJiby0GjTrKCz3lfjIfDmo07ue3peTzzn/qms/JNu3hr/s+ZDS6D0lGLMDuixg2ISkTrfOFJrDGxSijP8+XezPy5UlMTHDHqM0mAPcCDz3/GJ1/bW/IikWkgzP6YEO5TXFxMcXGx02EIh7m5HDSaju8+n4+35//MKb/an6YF/m7fdRHNWWaC6wmuXLcjtO2WJz9iW8VeTj92/1Cflmzj8Xioq/MxcsJ8fjPg4LB96eiDZjbkP7JGMKpPVviTHLsjHIPvyuRSQXv21lCQ783a32emfL50PZCeMtFQ02OIxuPqq692OgSRBdxcDhrNE2f+knKe/vfXTH1raWibWQ2LFeMDPtgRvSFrK3w+H+8uWMne6loq99awY1f8zvBVNbV8uWwjDz7/Wdj2dDwLW5msPRd5P4L9koIj+7fvrI85XgxWv5PJ//2OEWPTP5/KRbe/yX0TF6TlXHv21vDDL9viH5hF0lGW0zWhqRBCuEWjSbKCM5BXGEbq+UKjC+O/v6qmlpdnLwvU4HgC72u4LOuz79Yz/qUvmfzf7/jLI7MZcvdb7IwxIszn84XWZIyMMx01DsGZwiOvGf46cD3T+xQ7BmOMxre/PPsHlq3KTAKTrhGMG7fuNt1eXVPHO5+udGQ0a3VN7D6Fxpjq1/Ss3x8cfbhp2x6WWySQifTJEkII0QiSrHEzvmDu4tWMnfElUD/7OET3Gfrwi9UsW7XV9Dwr1u5g8n+X8l/DiKtMjdILLqRsfPAFk8RtFXvZtN3fMfnZN2L3awl+0qgaprTEHX2OqOsEHrq1JpNUxgvB9N7mUJ8sM9Pf1Tz58pe2+zil0569sZMs87Jcf8Mfm/o5AMMefI+bnjCvSZRFn0WiSktLKS0tdToM4TA3l4Ok+mQppVoDU4FWQBNguNZ6fsQxw4A/AzXA/VrrWSnGauq9hat4b2F9J21PWJLl/38w6Xhsqn/k2czS8y3PV1Vda1iLL83BBvz7/R84sWdJeJOaSa/vWEuheMKON58k1I5bn/qYu6/qS/PCgohzRB8bVZMVPNbk4HgxZKJWpKFqkKyuEmzirUjzvGd2xEuAzG7Nmo31ywIFR3gGJxw11pQG3WyY0d3qGCGMdu7M/qWnROa5uRwkW5M1HJittR4AXAE8ZdyplOoE3ACcCJwJPKSUappCnLa9u2AlK9ZuB6LncbLDWBOWqYf2xq17WLNxZ/zzG55fE15fwqARr4ftDiU5UTVZsU9rvO63P21m0dLoZrQ6k9m9I7eEagrNckHDwdU1dYGm2Prals++W2994iRF3ofLRr7FD7+Y11ymxCLeYNlxolltd5xlc+IlvZFlcW9V/ClNHpr0WdxjhLsNHz6c4cOHOx2GcJiby0GySdYY4P8CP+cDlRH7jwXmaa33aq23A8uBnkleK2E3lM4Bklu70OOp7wKfqdFU23bu5ZqHZ5vGZdXU9MaHP4W9nvTmd2wIrlWXYJ+syMt686JrI2pNYotulgxcz+xYw89vzvuJyf9dymtzfwxte3TK54Zj/Ucb119MRuTn3r6ziudnfZfSOc1Y3d3gfTRrPk3UqnU7qK6pY1vFXr7/eUvc428e/1HM/XMWrY65/FHkvdu5pzruv5v5Sxq+WVTklqKiIoqKipwOQzjMzeUgbnOhUuoq4KaIzUO11p8FaqymAn+L2N8K2G54XQG0TiXQZEQ2F5qKTDi8hJruMl0hYTx/MM2JN4LL+FGCiYpZDdPO3VUMvustrr/oaM7oe0DEOcLfsWzlVk7sWRJ+DtN+VpEd34M1WWYJWf22ykCtiJ3akaCPv1rDSUftF7V9+869eDweWrUwG/0YHcfXKa4xuHpDBZu3V3JUt31jXgcgL7hQdooFZ2tFJX997ANOP3Z/vlq+iQ1bdsds4gZ79/b7n7dy2IHtTJPEyET5l/UVfPXDxkTCFkIIESFuTZbWeqLWukfEf58ppY4EZgO3a60jqyB2AMa0tQhI+5CxeH9p16+pZ/+cHo/H0CcrsYfl/CVrGTTiddsdhOM9jOP1dgn22TKrYVoXqOV6c96KyLdFPWT/M2e5rdgir7NqXQWPTf2cKpORbYncOrPpKh6Z/LnJkXDZyLcZcvdbpvsyUfP4l0fe585nPrHVBBhsLkw1juDM9+8tXFVfW5kGtzz5EZ98bT4Te+S/kbvL5vPE9C9sn9vYv0uIoJkzZzJz5kynwxAOc3M5SKq5UCl1OPAycKnW2uyJtxDop5QqDHSSPwxI+xTQdkewJdZcGP1+u158RwP+GePtiBdXvE7FVrt9Pl8okzI7xs79MEsqIt+39OctfPjFGpaY1BaZXcPqqpu3R7Y2JyeR39fXyzfy3YrNto+f8Z6Oe4zX61yfLLsemvQZP67eHrU91Zg3bduT0vtF47R48WIWL17sdBjCYW4uB8nO+P4QUAiMVUoBbNdan6+UGg4s11q/oZQaB3yEP5G7Q2udniepQbyHav1M5Ob7v/1pM7c+9XHYNm8KfbLyYvTJyc/zRjUFhjUX2hykFWdAYuC8vpgLGNvJRUxrsiyODY5Mszq2ocafvfHRT3GPqa6ppSA/jzv+6V+PL14zXNBPa+oTkxfe/t70mGANZjIJy7rNu/hxzXZO7FmS8fu102T0Y6rTldj9w8JJSqkC4FmgK9AUuB9YDcwEfggc9k+t9YyGGh3d2J177rlOhyCygJvLQVJJltba9MmktR5t+HkCkNEVIePVyOTneaiugb3V4c13M/6nufg0FVpyxCi8uTCxePJi1GQ0a5ofNbQ/6bX+Qu83315X56ufcNJsf9I1WebHmvUHClthJ+7V0sMq+TF6be6PXHhq95Sus+Dbdabbg4nYrhiTyFr566PvU1VTZzvpq63z8diUz/n9KYfQrUvbhK5VYzJyNNUmzqde+Sql9zeQy4DNWuvLlVL7AF8A9wKjtdahSXwMo6P74P9j8mOl1Hta671OBJ3Levfu7XQIIgu4uRzk9GSk8Z4LhU38OeSu3eEPvalvfU9NbZ1pkubPk4Id3xOsyfL6b2dtrY+RZfPDplxoXhidz4bPeh59rWSnIPLFq+5KtibL4n7U2Ogkn26vvP8D3/5kv7kvKJHO90a1dT7bfe1em/tj1ALbazbuZOsO68rcKuOcaDZ+7xu37mbe12t5OIlpFMxqWlOpyXJihvskvQzcZXhdA/QGzlFKfaiUmqiUKsLh0dFCiMYjt5OseFMVBP5vtjyNVZNOsNMxwOZtlQwa8Trfr4w/hB4Izc9VV+eLWsKlWVOTJMvwcHry5cRrAmI1F4aOidi3dMUWXn7/B+IxrcmyOtZsTi2TkZPpNOnN76Kaeu1IdvLMz5eu56Lb30zoeKNrHp7NH0a9k9S1zTQJLIK+YWvifaFqzBb/jvNvKdb+F96JX4OYDbTWO7XWFYFE6hXgTvz9R2/WWvcHfgJGkiWjoxsDrTVax+/PKBo3N5eDnE6y4v0FHXz4myVZE9/4JiyhCnr+ze9CNRZfBoawv/lx9Ag9M8GpCsweSGZJljH8quroGhaPSXpip9bA56s/LjKnuOXJj3jpf8vinsNOx3e7x0610YyXrLo6HzP+p2Ou82hkN8eqra1jpkkfL7uLJK/dtCvpZWjs/N5TqT2qNvkMcZMsi+s9NvVzZrwXvzxlC6VUF+ADYIrW+kXgVa31osDuV4FjaKDR0W4wffp0pk+f7nQYwmFuLgfJdnzPCvEeDMFmEbMH0luf/Bz/AhFrH8ZifPiaPcTMk6x4owujt1mtvWhUV1ff7d3sgW2HnSkcgmpNPq/ZoZloVlqsNzD1re95b8Gq+AdjvybrnQUrKXttSdT2p2zWOP60ZjtD732Hv154NP2Ojp7vK1E+X3h5SOVWmvbJSnBG+KAPv1hj+Z7qmjoKTBYad4pSqiPwLnCd1np2YPM7SqnrtdYLgVOBRfhrtx5QShXi7yCfkdHRbtC9e2r9H0Xj4OZykNtJVpwHTbCGJdVne7z3L1m+idv/OS/02qxWqk1R9KpCyUwM/t2K+E2XdYYpHOzmWHsjYjZtTrXsk2Wv1uvl2T8w5MxDyctL34M3eJ31MeaTMiaBdmuyllrMsj7PYp4pM7sqa3h0yucJJ1nW024Y1uVMoaO6WW1cvDKezIjJj79aw8m9uyT8vgy6HWgL3KWUCvbNGg48oZSqAtYBV2utdzTE6Gg3GDx4sNMhiCzg5nKQ20mWxRd/1+JWQH1zYZ3Px8dfWf/FHU9NbR3fr9xC+9bNaN+mWdT+L5aF978yW9PtyIP34f3PfwnbluqweSs+X+zRhWYuuDV8hLr5os/m761L4KH9yZLytNTsBNmpKbn20fdDP9tJsn74ZStzFq023dcQnbzNLhG5yVh2YiWYZsz6ZEHsha2TmTnfrIbTSVrrG4EbTXadYHJsxkdHCyEav5xOsqweeD+X72DP3ppQc+Heqlo++jL5JGv+kvLQOm1Dzz2Czdv3MOw3R4b226lVaFKQR57XE1YjkKkHtr8iK7VzT39Pc/iB7Vi3eRdn9D2AvDyv5TlN1y70+e+LcX4pqJ+lPlF79tZw78RPo7YX5OfFfe9awxxOXo+H7Ttjj8TfsMW6M3mq84z6fL64TZZm9znyFhvvxY2j51ie65wTD4ya9d+qX9k///215Xnum7jAcp+Vpk1y+utFCCFSltPfgrFqgt6ctyL0YLKa1yges7M/N+tbgLAky05TilkykHpNlvnDus5Yk5XsPBD4l1YBf7PXBad0s6yd2rIjOmnx+Xy8NvfH0P0KGjNtMfu0Lkw4lsV6A9/8GD1lQ77J4tbxDB/7Ycz9sSdyTe13VlvnixmzsRYy1nV/WV8/AWysebk67dM8aptZn0Eg6Y76Vsz6IQp3GTVqFAAjR450OJJ6VdW1odG56RZrmhY3y8Zy0FBy+lswVp+mDVtTX/Ntuo2lVPxx2KnJ8kY9uuM9r+Pt/2V9hWU8qSRXkco37eLDL1bz9vyfbb/HB6woj16+BWwOOoiQ7zX/PF6L7Va8Hk9K6wGmmmRV19SRH6NP2qp1FaGVA8Kum+T1zMqmVXNhupuvC5tk5kEmRCqaFOSFzWEoRCbldJIV64GXzIM8+vz2jrOTZBXke6NOGH+er+QeesaRaOnItd5dsJJ3F6xMMAZfaMHkKEnEZJVMJZoX2FnIONY5U20urKqujVnDc/9zC7j7quNMYkruwma1VlbNhb40r7lYKDVZrufGmgsRzc3lIHvGVychUx3H7Vi9ob4WqdZGHE3y86JSpv8tjD3tQLIfz99c6H+zndGImeDzEdXRPxXB2fRT9V6ce77gm3JGvxhjIdM01GTFsm7zbvPFtdNY1M2mcEj3NUCaC4UQQpKsJP3lkfoRa3ZrsiLD/c+c5ekOCwj06zG8tmpWzKTqmuSWr7GSZ1GTle4ycP9zC2NOOJrcGpP1b7LTf89Onyz7F4/eZNVcmMw0DbFIc6EQwu1yOsnKliXT7CRZyfxVn2wCUVcX/lCurEpvh2Y7YkWeTAum16KzuK+BZwk4oFNR/IMiGIuHcd3Ait1VTHhtSVTtlvlErglf1vJcVh3fzdY0TIXUZIlp06Yxbdo0p8MQDnNzOcjpb8FUJmRMF5/PZysZ2rdt9Pxacc+d5DOvzufDV5eeiSuTluZL5ls0F6Zak/XL+gq6dLSfOCUzoGCnYf4p4zqPk978jnc+XclB+4Uvi2faXJjgNYPThZjdHquaumWr0rtyjEzhIJYty50ll0TmuLkc5PS3oJPNhQCbt+/hinvfxc4ANzvzOUVKvuN7eOIXq4LitcfO4zc3v5HUdWKJ9btJJlFJ42DJMN//vCWhJMtsNv94Lhv5duhnY8IbrMGKXpfQ5CQJlnX/PfaZvs8qybK7LqNdVk28wj0uueQSp0MQWcDN5SCnmwudrsn66jvn+ncAACAASURBVAf/LNgZCyPZJiJfeJITK+FJ54Pw/247tf6aMW6KnRF+kaw+QqqJdqLvr0pyMtWg2jofE9/4JmI6jPDfgVlMdsvYwZ39tWKxktIfV5tPrZFOM0vPz/g1RPZTSqGUcjoM4TA3l4PcrslyOMmy29fpiIP2Ser8ySYQ1bV13Pds/dI+DVXj16Zl/fqMsa4ZOQu8HWbnO7r7vmzeZj07u63zJliGkqnJMnrmP1+H1kU8pY9/Xb+ohCgNHd+Dp3S+QV0IIdwrqSRLKdUamAq0ApoAw7XW8yOOGQecCASHtp2vtU7rn9Dpbt7IlCsHHZHU+5J9QO6NSP6CiUSyS9rYZZwXK5153dvzf2b56uj+Ql8u28iXyzamdO5ER9Tt2GW9vp8dVgtPG01687uobYneT0+ghtLng5F/Oo7Hpn7O7sqGHwAh3G3RokUA9O7d2+FIhJPcXA6SrckaDszWWj+h/HWA04BeEcf0As7UWie+sqxNVvP9NBS7DW12FjE206ld9JIodlTXhN+XYCKR6cWNPd7kO9u/8fh5nPd3875hT73yVUpxxRIZZ+T6kk748ofoxDHR/nnGVuA+h3Wk7xGd+MBi0et0OaBTESvXNfx0ISJ7zZrlX3jejQ9XUc/N5SDZJGsMEFywLh8IW7BJKeUFugFlSqmOwESt9bNJR2nBar6fbJPo0i9BTZNcXytyjqpgjV+mm1cLDMvFJJqomHWGr6mti1r7MN0imyG9DZhkJZT0JhxSoCYr8MZMJ1gAeTGWCxLu1KtX5N/ewo3cXA7ifisqpa5SSn1j/A/oprXeo5TqhL/Z8LaIt7UAxgOXAWcB1yqleqY7eLP5fm7746/SfRlLdmvSku1cnuyjPrJZMPg6nX2z7rqqb9Q2r9cT2p6OOZcWfruONz78KeH33XDR0baPjUw8M92kasbOyMlEf3dODOyT0YQi0qBBgxg0aJDTYQiHubkcxE2ytNYTtdY9Iv77TCl1JDAbuF1rPTfibbuBsVrr3VrrCuB94Kh0B2/WJ+uEniXpvowlu4lEskvCJJsURXbO3lNZw9YdlVEj1Fo2Kwh73aVjS0YMsVede+zhnUy3B/tlTXjtG5vRWkv28x/SpQ1nH9/V1rHGWqvlvyQ+T9StDZjU2xFKc4KZW+Djqf3bZvzakmQJIUS4pJ7+SqnDgZeBS7XWb5kc0h34WCmVp5QqAE4CYiwIlxyrju/H9TBPANJtwbfrbB2X7MOnrs7HynU7En5f5DQDY2d8wR9GvRPVPHXVeeEd8q8c1IOBvTrHPf+MB35tuS/4WX8utx93vsVs7p6k5ob3Nz1ee8FRtGtVCMCvT+hqeayxJmvD1t0JXefi07qzfwJzbEVKJIVMNN/0hudYXHVej8ROkARpLhSRKioqqKiQfnpu5+ZykOy34kNAITBWKTVHKfU6gFJquFLqPK31UuAF4FNgLjBZa532zjVWfbKCQ+Mz7ZsfN9s6Ls8iiYjn5dk/cN1jH/D9ysQWebaaZsCYUPQ9ohOn/mr/sP12+441LyyI2vbAX05I6BwAA3vHSeiSrBgJhhBs+jOLN8h4T5ok2AfusrMPS7q/Xbj453h0yufMXZxIv6rg6EL/50t28EUijlH7ZvwaIreMHj2a0aNHOx2GcJiby0FSHd+11qYzDWqtRxt+fhR4NMm4bLHqP5MFq+2ESfVB/NjURVHb7r/mBO585hPT463vS/2NaduqMKqzeV4K06oH58hK5LNGNldGSjaaYAz3/vl4Zn+2iqLmTSyPrTXck0STWUhxJvoEyunSn7ew9OctDIhX0xgIKDKuYJLVoW0zNmxNbW4xK8cdUczUt77PyLlFbmrZsqXTIYgs4OZykNP1+1bNhZmeqiCWGy+O7nSdbJ+soA1bopuxjupmXWtgmWQZsk+z5CCVZDCYsHkTyDqCyc/B+7UB/IMW+h+zX9IxBAU/xyGd2/Dn3/Yk1u033pMZ7yW+vlYinzdSsJgmcgq7s+VHnnOf1v6m0zOP62r5nh4H78P+SSyAHZRsja1ovEaMGMGIESOcDkM4zM3lIKeTLKuh9skurJwOpx17QNS2hu4Q/O6ClabbjbmnWXKQWpLl/38iD9qCfC8P/uVE7v7TcYB/0MKvDusYdc5ERebYsdZKTHZai9F/6x/33GbMDk/kDNc8PDv2AYEPH4wreC9aNm/CKw+fy4WndrN867W/P8r2xLnNC6MrwZsksT6nEEI0ZjmdZGVqPbt0y5a/8OPWZKVQK5NMTZbH4+HIQ9rTqoV1c14yIvukxYrIbBoQO7p18Y/WS/SWpaNoxqqpDe4xy5ebFuTFTAq9Xo/t+MxqUhPt0yaEEI1dbidZFp1asi3JipV49D0ifCSkWXNjuhjvi9nDNpVWzeDpEqkNi3foT2usRyjGSsyi9sW4zur1iS9WbZRKYlpVk9w6iLHm8qr/FYd3fLcjlf5lJx1VQpOCnP46ERlQVlZGWVmZ02EIh7m5HOT2t6LF8yPRZ8W5Jx2Yciix5McY2t61pFXY654x+lpFOjqBYyE8yTJr7kmpuTBw1xNrGjVrO6vfNv09bflOq+Sm7LbT2Kd1M1vHAlTs9q9F2BD9+CLvzfwl5f4fEsxuIqfoMAp+jmR+lYnVQoa//scffpX0CgWi8SovL6e8vNzpMITD3FwOcjrJsupOc+JRiXWe/uM5h/PYDf048ajkJjKdcs9ZMfcnVrtj/9jIBC0eYx7RukXThK/92PX9+OM5h5vuS6YmK5Wak6Mtpgto36Yw+joxzhMcPPF6EjPLG99vR7pqeqotpugAQ2d6wwLRdiVS9syOlXmyRKRhw4YxbNgwp8MQDnNzOcjxb0XzJ4hxTqBgB+VYCpvkc+gB7bj1D7+iYxKLMtt9Nv3+5EPCarU6mFwrpSkB4jD2yep5SPuo/fESpEO7tuOCU8w7TifbJytqm833WnXQNhvJ6YnxuYJJ0sdfrrF55YhzJ/B58/PSU9MTqyYrKJliZPeznH1CV05uoLnoRG4rKSmhpKThVuEQ2cnN5SCnkyw7f6V37pDYkPTIJp3Hb+gX9z2xkpO7DWv8XXHuEbz6aP36TQ/+5cSo4xMdrZaIax99H4Dhl/bigOLoWrDUmgv9EmkuTOWjFljUmph9hsgtxgSzpsbHuBlfoFdtTSqOju2ac92F4f3o2hRF1xICNGtqnmQlehusJpsNP2lwgWj7vF7rZtNHrjsp9PO1vz+KpjKSUAgh4srxJCv+IyTRxCHyeDvvj5UY/cpijT/AtNasIaZ7sBoFFqyF6rRPMrV5gZqsFJMsu4lXQsloxLHn9Tso9HN1bR3vLVxl/1wmzjzugNAqA+1aNQ1rPs7zeuh9aAcAWrc0T74efyF6stlYYnd89/+bOOu4Azj28E78buAhlseW3XZa2NqLsWohI8uqJ6e/OURDmTNnDnPmzHE6DOEwN5eDpGZ8zxZ2arISzVmK27dg9Qb/iLOHrj3R1sM8pbQo8BnO638Qav+2lg9i0+sGYju5d2eqquuY9/VaW++zWo4omOA9fkN/bnt6Hr+st7/WVFJ9slK4c5HXueq8HmyrqDQ/NnDoKX260OewjhxrGNGZSJ+qWK6/6Gi6dWnD8UcWh23fp00z9m3rT1CsargSFWtUYvCfRMtmBdxlqEU1U9y+BcXtW4Rex/rdRe7LZI2raDzmzp0LwMCBA50NRDjKzeUgp/8ejZVjBZ8BiT4MRlzaO/Rzj4Pb2+pjlI7nTctmTeh/TPzFmc10LW4VViMRj1ViEXyQtm7ZlINKWicUQ+h+J5A4pXLfIt/b46B9uOJcq4k060c+9jt6v7Aysa1ib/JBGOTneTn3pINMRjbW94WLt4yQXWbNhWp//7xdoT88kri5Ho8n9G+qS8fYy2CkMnWFcI8BAwYwYMAAp8MQDnNzOcjtJMtGVVaij4IWEQ9CO8+SdD9wxv/9ZK694Cjbxwdvw202Ey3LJMvwOazmILMSTFys+h3Fek/YNpu/sch7Hive4KHpmqXhzqHH2j7W4/GEJqNt2iR+xXHxPi3iHlNVHf37i6ppshlf2DnC3hT7DJJjCTsGDhzoytoLEc7N5SDHkyzrfXdfdRx9DuuY8uLMtmrCLJrK9m3bzOTg+LoWt2LfNvHfGxnZCT3tjd6wai40xp9oQhJ8Z8sYizFHvcfs1ibZJytWchb8WIkmjlb69iiOf5Dh2n/49eH8buAhDIy3uDOETSNiNQ9adaC5MLgeYbjkP6Px92/2z2bouYczKNCfzXjsn87vkfQ1hRCiMcvtPlkxHih9DutIH8M6eADP3XUGO/dUc/3jH9i+hlkikOf1mK6bmB/xZHry7ydbnjfeRKKZ7ABfYzHBmPHBmfCs+UmEazVC0A5jrBec0o2D9ovVvJn4nFHpcvnZh9OyWQFDBx3BD7/EH8FoLG/5+eb3p6q6jmZN8zixZwlvfGQ+v1cyNU3GxNX489kndKVNy6b87uT66TuaGWrlYk22K9xt7Vp/P1G3Dt8Xfm4uB7n97ZjgQ7N9m2Z0NZm6IFJ+nje0kK7ppIsRCVAwWbj81+ETdTYvNO+D88K9Z3P3n/ydkk862j9x6gk9w2tHUq2Bi8WyJsv4WRO8t3aaTO+9+viw102bRDctdg/0LYp/vfqf/3jO4THvV31zof0PNe3+X/PIdScx1LKflz3Gmik7taLGz1FgkWS98v4P7Nlba5roRy6rkwiv1xP6vQdDbdeqkGt/f1RU7MayLU2HwsqECROYMGGC02EIh7m5HOR0TVbkM2byyDPTcl7jXFZmIh/oeXleZpaeb/v8xrX1uha3Mn1vIklWohU08Tq+Q31NljqgLZu27TGdvDRR6oDwBMpsKomO7Zpz4andeHn2D1H7Tj92/9B0C4kMaAgem8h9atmsgMMP3IfDD9yH52Z9m8A7rdlJRI3HWNX0/VzuX9Nx+87oTvvHqA6s3rCTgzsnNnDBf+36WqnCQE2VVcjGZZkkxxJWiovtN62LxsvN5SCnk6zI9h+r6Q/+77ZTqa1Nrq0oMtnppTpw/oCDGVk2P6nz2b5ukqMafzvwEF6dszzm+846vqv5NcP6ZPnv1+9PPoTjj4xfxZtMzZvVfF1WCdTvTj4kbE6rS05X/PuD6GQs+nz+//vSM1tD0hKdc82quTCosqp+lGHw93XSUSVcdtahlrWoABef1t20lszj8XB093257KxD6XNYR/42Zq7l76JZ03zjG2PGKdzr6quvdjoEkQXcXA6SSrKUUi2AF4F2wC7gcq31xohjhgF/BmqA+7XWs1KMNUpk2mT1XV/SPnw4+oElrVixdoeta0Sec1REk1emJDtiMd4ivTdefIxlMmrMARJtdkomWqtYrT57ZJIy5KxDGXLWoXGvE3xXujq+J8vOr7T3oR148Z3vAevmwqDKqproa+CJmWABXHb2YabbvR4PXq+Hi09XrNu8K7DN/Bxer4ceB+/DNz9uDvvdN8n32lr2Rwgh3CDZPlnDgEVa637AdOBO406lVCfgBuBE4EzgIaVUemZiNEi2I/PDfz2JiXecbuvYZJKdvw/pHbacTjJMluCz97444ebn2ZtwMnhvbVdQxblPl599WNTD32rBZMsHe5KJZ6g2pgFzrMhJSSF+/McfWUx7w6jSeAMDjDVZ6WA+2tM65kEn+UcaHtKlTWjb5HvOYuqo2AumCyGEWyRVk6W1fkIpFayG2B9YH3HIscA8rfVeYK9SajnQE/gs6UhNRHZktttPp3lhQdy/9lMxwMZQ/XgS6XNkvA+xFkMGf/8xy32GzC7YJyve+YLiHXbRad2jthVYrH9ndc1kBwMEb2XCIyZT8I/L+7A3YtLQePHX1vpsjS4M2lNZnXR8ZoxlLnivYoV8Qs8SXn7wHAoNTYeR88wJdystLQVgxIgRDkcinOTmchA3yVJKXQXcFLF5qNb6M6XU+8CRQGS1UCtgu+F1BZB4T9w4GuKR6dTM1qkmFFY6d4ieyTvYfGpsngombrFOl5/noSbBvm69D+3Aou83AInXWCU7rUUyHd9TlZfnpXlEQhvvd1NTVxf22eNNjbC7Mrq5MF3aFfnn4LrYJDk2MiZYQkTauXOn0yGILODmchD3G1JrPRGYaLHvFKXUocCbwMGGXTuAIsPrImBbCnGaSmRIfrKcWqMtMtHof/R+fPjlmoTeN/TcI6JGxrUtip7A8rEb+lMbMeKwfnUW68//7F1n8Id73jGN18o9w45n0IjX/e+xSJqskovgNWI1eZpJZgqHTIh3j2pr68Lud7w+Wbv3Zi7JKmyan9CIWSHMDB8+3OkQRBZwczlIquePUuo2pdTlgZe7gMjOIQuBfkqpQqVUa+Aw4JvkwzTXEM/MZPtGpX7d8Adys0J7NQbGh/TJfaKbLc2e800L8qKbT0N9sqwTg7ZFhfUJUYz8Yco95n10rM5t1lfL46m/J3aWpwl7r4OTkRrFTbLqfGG1e4ce0C7m8WebjBJ1unO/EEZFRUUUFRXFP1A0am4uB8mmEM8CQ5RSc/CPMhwKoJQarpQ6T2u9DhgHfAS8D9yhta5MQ7xhnK6ZyKTI53GdxSztkYzHmT3U7dbMhfovxTncrDLqyb+fHDbpa5sii9GMFjVZZjU4+Xne0PGJ/t6P7r4vB5a0YsiZ8UciNmuax4PXnmgZV+9DOyR0baN4997fJ6v+mF6HduD5u8+g0GTSVoArBx3B9RcdzZi/DXCsxlUIIYS1ZDu+rweiqie01qMNP08Acn6KV8f6ZEUugGySV5g9WBd+ty7mfrvdmuz0yQpcJGrTAcWt6KU6hCbNtGKn71XxPi3o26MT/Y7eL3R8oklWi2YFjBtxsq1jj+tRzJEHm0+8+p9HYk9SG49ZrWhx+xaUb/JPl1BTWxd1O/dp7V+l4PuV0UvyeDwezuh7QEoxCZFJM2fOBGDQoNT+7Yjc5uZykNPL6jRERZZjfbIisiHbI+MMh5kmVDY/j89GcyHAMd39azBGdkq3cxmrmixjZ3qvF646rwfd928bOt5mpV5Srv5tz6htVjVxibJaounywLxVtXU+qZESjcrixYtZvHix02EIh7m5HOT00KA6n4+mTfLYm+b5goysnnkNfd1YSZZxlzFxSa0mK3COOGn4zZf3YePW3ZbTMcRidW+raoz31fh5ArFlMMtqaTIFwcQ7Tk/L9A+mvw+vh8MP9Pe9qjWpyRIil5177rlOhyCygJvLQU4nWZD5ddOsaham3nMWF97+ZsauG9VcaBj896fzewRiM3mfNzopMUq0T5Ynzh1uWpBH5w7WHRoHn6Es91nVZFVX139YY7ih5sKYEaWf1fI/iTL7vF6PJzQ/WZ3P51jztBCZ0Lt3b6dDEFnAzeUgp5Msny/15ryO7ZrH3G9V85Pp+YEiH7bBpGfAMZ05v//BZm8Bwhd/Nrs3id6uVJ/5saYhsEoojjhoH8P1648JJimd9on9O8tWZmUpL88T6qtVJ82FGaWUKsA/aKcr0BS4H/gOeB5/7v4N8FetdV1DLAsmhGj8crxPli+lJGDMTQMovbF/zGOypU/Wef38S5hced4RMd937OGdQj+nVJMVaJJL9vOHJgCNUe1kNbnooV3b8c9/nAJASfsWoe35eV7uuqovD1xjPvov25k33xprshJYxkgk4zJgc2A5sLOBJ4HRwJ2BbR7g/IZaFswNtNZorZ0OQzjMzeUgt5MsUmsuPKRzG8vFkoOCz8X8PC+vP3ZeCldLTOTz+NCu7ZhZej7tWkVPJmqcG+mCU7oZzpH66MLk1wu0c4z1QZ07FHHH0GO5aXCvsO3HHt6Jtib3IBeYNRdW19SFTU1hXvsY/2Ye18OfXO/bJvFavqt/c6TpWouN0MvAXYbXNUBvYG7g9VvAaRiWBdNabweCy4KJBE2fPp3p06c7HYZwmJvLQY43F/pSb8+KI/iA83o9SS91k4xkr+X1emiS76Wqps50v92aqVDH9xQ/cqzJMeN9xuN6NK4Hv9m9/Ll8R6hGz99c6N9+Qs/6z25nyorfDjyEM/oeQMvmTRKOa1C/gxgUqCltzLTWOwGUUkXAK/gXtn9cax28wcHlvxpkWTA36N499rJMwh3cXA5yPMnKfPOKz8ZCuZmQSgfokcOOY9bHK2hi0h/K7lmDyVEmc9iGTFqzgdXv1Dg1hcfjYfLIMxNOljweT1IJltsopboArwJPa61fVEo9atgdXP6rQZYFc4PBgwc7HYLIAm4uBzmeZKXaYBhf8MG4b9tmGb1O1HVTSEB6HrIvPQ/Z13Sf/dGFiR1vKUYljNtG0ln9TiNnso9sDpXO8OmhlOoIvAtcp7WeHdj8hVJqoNZ6Dv5+Wh/gXxbsAaVUIf4O8hlZFkwI0fjldpJFxlsLKWyaz82X9Q4b8dYQjA/Wg/aL01IRI5HxeMI7n9u9X/mBB3/yfbLiT7fgtposs2SpeWF+WHOhyKjbgbbAXUqpYN+sG4FxSqkmwFLgFa11rVIquCyYlwwtCyaEaPxyOsnC1zC1If2PiV5oOdOM+cfjN/QzPcZODYfH4wnr02O3VuTmy/rw5rwV8RM8q+vaOMZlOVbo8x5/ZDHzl5QDcPFpKlSGrSY8bZbh6ULcQmt9I/6kKtIAk2MbxbJgThs1ahQAI0eOdDgS4SQ3l4OcHl1Y5/NlfjZShxiTx/y85H9NySYyHdo1Z+igI1KubYrVZ9ttzWAej4fn7z6Dmy+rn5jP6/WQlxe7Jutvg4/hsrPjL24thBAiu+T8n8iN9jFt+GDxkpFYjUx9exQz76u16YkpEY32F5OafVqH9+3zejHUZJm/p21RIRefppj61veZDk+ItHJjzYWI5uZykNM1WemY8T1bBSeojMXOJx9xaS96Hdoh9YCS1RCreOewPI8nquO7HTMe+HWmQhJCCJEmOZ5kpTbjezaLtRxNYufJY982DTsyEurXPJQUKzav15Nwx/d/3XE6zQujF7IWQgiRXXK6uTDYJevAklasWLujwa//8F9PommT9Cwe3NjESn57HdqBxd9vaLhgsphxklu7gwvjrbcpRLaYNm0a4O55koS7y0FuJ1n4Z3x/5Lp+7NpT3eDXb+hpHaxkc4ucWWx3Du3L3qqahg8mC3k9nvo+WTKFg2hkli1b5nQIIgu4uRwklWQppVoALwLtgF3A5VrrjRHHjMO/wGpFYNP5gXXA0iY443uzpvnuHOZuex3CzIZhJlZoBfleCvKzZ3Zy45QKDc04ujCRPllC5IJLLrnE6RBEFnBzOUg2MxkGLNJa36uUugL/GmCR88/0As7UWm9KIb6YGmLtwsbAyYd3rLULs8F/HhlEntfD+Te/4cj1vd76mixJskRjo5RyOgSRBdxcDpLqXa21fgJ4IPByf2C9cb9Sygt0A8qUUvOUUlemFKWFzC+qk92Cncuzsr0wmPxmYWhGBflevF4Phx7QtkGvG5zk1WsYXXhe/4MbNAYhhBCZFbcmSyl1FXBTxOahWuvPlFLvA0cCp0fsbwGMB0YDecAHSqnPtdZfpyHmeg0043u2+u3Ag9m8fQ/nD8i+h3PX4lb+/5e0cjgSex7+60nUNmCfqGBi5fV68Hg8vPH4eY12OhLhXosWLQKgd+/ecY4UjZmby0HcJEtrPRGYaLHvFKXUocCbgPFJvxsYq7XeDRBIxo4C0ppkeb0e8vPd+2BqXljADRcf43QYpo4/spinbzmFLh2LnA7F1AGdili5riL0Oi/PS14DDhQNTqQfTLYkwRKN0axZswB3PlxFPTeXg2Q7vt8GrNZaT8Hf8b024pDuwHSlVC/8TZInAZNSCdTMRad1Z8fOqnSfttFxqjUxWxMsgIev68eW7Xscu34wqXJzTaxo/Hr16uV0CI3G1h2VtG1VmJFzV1XX0qQgc39lurkcJNvx/VlgUqApMQ8YCqCUGg4s11q/oZR6AfgUqAYma62/TUfARvvt25L99k33WYUbtGxWQMtmzk3oGUyu8ty2SrZwlUGDBjkdQqPxh1HvZOzcM0vPz9i5wd3lIKkkS2u9HjjLZPtow8+PAo8mH5pIl2wf4edGnojmQiGEEI1PTi+r09gNOetQ2hY1Tfk82Tj40O1CHd+luVA0YhUVFVRUVMQ/UDRqbi4HLpzBM3dccrriktPdO79IY1ZdUwcgyzKJRm30aH/jxsiRIx2ORDjJzeVAkiwhHFCxyz9go1WL7Jn5Xoh0a9mypdMhiCzg5nIgSZYQDjhov9as3bQroebg04/dn4J8aeEXuWPEiBFOhyCygJvLgSRZLiDLtWSfGy8+hgtO6UbL5vZrsrJ1TjQhhBDm5M9iF7n0zEOdDkEEFDbN5+DObZwOQwghRAZJkuUCwXqsju2aORqHEMJdysrKKCsrczoM4TA3lwNpLnQVmS5ACNFwysvLnQ5BZAE3lwNJsoQQQmTEsGHDnA5BZAE3lwNJstwg0F4o814KIRpSSUmJ0yGILODmciB9slwgOLhQciwhhBCi4UiS5QKydqEQwglz5sxhzpw5TochHObmciBJlptIe6EQogHNnTuXuXPnOh2GcJiby4H0yXIDqcgSQjhgwIABTocgsoCby4EkWS5Qsq9/3ahElnARQohUDRw40OkQRBZwczmQJMsFLjm9O4cf2I6juu3rdChCCCGEa0ifLBfIy/NyjOrgdBhCCJdZu3Yta9eudToM4TA3l4OUarKUUocCC4COWuvKiH3DgD8DNcD9WutZqVxLCCFEbpkwYQIAI0eOdDgS4SQ3l4OkkyylVCugFNhrsq8TcAPQBygEPlZKvae1jjpWCCFE41RcXOx0CCILuLkcJJVkKaU8QBlwO/C6ySHHAvMCSdVepdRyoCfwWbKBCiGEyC1XX3210yGILODmchA3yVJKXQXcFLF5JTBda/2VUsrsba2A7YbXFUBrmzHlAaxbt87m4UKIXGb4t57nZBxCCJFucZMsrfVEYKJxW6Bm6qpAAtYJeBfobzhkHPMoogAAIABJREFUB1BkeF0EbLMZUzHAkCFDbB4uhGgkioEfnQ5CCCHSJanmQq31IcGflVI/A2dEHLIQeEApVQg0BQ4DvrF5+s+AfkA5UJtMfEKInJKHP8FKqjuBUuoZYDbwmta6Op2BidSUlpYCMGLECIcjEU5yczlI6zxZSqnhwHKt9RtKqXHAR/inibgjcvShlUA/ro/TGZcQIuulUoP1F+BU4D+BP/rGaq2XpyMokZqdO3c6HYLIAm4uByknWVrrroafRxt+ngBMSPX8QggRx03AkcCbwCzgSeA3jkYkABg+fLjTIYgs4OZyIDO+CyFy3QfAs0B7/INs/uhsOCKoqKgo/kGi0XNzOZAZ34UQue4WoAn+pdCf0lpvj3O8EEI0CEmyhBC5bovWegOwArDV91M0jJkzZzJz5kynwxAOc3M5kCRLCJHrpiql/om/D+gkp4MR9RYvXszixYudDkM4zM3lQPpkCSFyXT6wFv8fjSfjH9UsssC5557rdAgiC7i5HEiSJYTIdX8EHsK/GL3IIr1793Y6BJEF3FwOcjbJUkp5gaeBo/AvUv2nbJobRylVgH/EU1f8E7LeD3wHPI+/g+43wF+11nVKqWHAn/E/JO7XWs9yImYjpVQHYBFwOv64nic34r4NOA9/R+ingblkeeyBsjIJf1mpBYaR5fdcKdUXeERrPVApdYjdWJVSzYCpQAcCIwG11htTDKcG6AbsDrxemeL5hBAiLXK5T9ZvgEKt9fHArUCpw/FEugzYrLXuB5yNf+6e0cCdgW0e4HylVCfgBuBE4EzgIaVUU4diBkIP/f8D9gQ25UrcA4ETAjENALqQG7H/GsjXWp8A3As8QBbHrZS6BfgXUBjYlEisfwGWBI6dDNyZhpDm40/augb+ixd/X6XUnMDPvZRSa5RScwL/XRzYPkwp9blS6lOllHvbOlKktUZr7XQYwmFuLge5nGSdBLwNoLX+FOjjbDhRXgbuMryuAXrjr1kBeAs4DTgWmKe13hsYer4c6NmQgZp4HHgGfz8XyJ24zwSWAK8CM/FPTJkLsS8D8gO1s62AarI77h+B3xleJxJr6N+t4dhUVQFH4x9ZuDnWgSYJYi9gtNZ6YOC/GdmSzDYG06dPZ/r06U6HIRzm5nKQy0lWK8A4H06tUiprmj+11ju11hVKqSLgFfx/sXu01r7AIRVAa6I/R3C7I5RSVwAbtdbvGDZnfdwB7fEn2xcC1wAvAN4ciH0n/hqY7/GPkBtHFt9zrfW/8SeCQYnEatyervhPwJ9gvQJcEudYswTxHKXUh0qpiYF/r9mSzOa87t270717d6fDEA5zcznI5SRrB2CcRtartc6qjq9KqS74Z6OeorV+Eagz7C4CthH9OYLbnXIlcHqgOeVo/E06HQz7szVu8NdivKO1rtL+uulKwh/i2Rr7Tfjj7o6/j+Ek/H3KgrI17qBEyrVxe7riLwA64h9ZGLPGySRBXAjcrLXuD/wEjCRLktnGYPDgwQwePNjpMITD3FwOcjnJmoe/LwtKqePwNxNlDaVUR+Bd4B9a62cDm78I9BsCfz+tj/B/yfdTShUqpVoDh+HvPOwIrXV/rfUArfVA4EvgD8Bb2R53wMfAWUopj1KqBGgBzM6B2LdS/1Dfgj9pyPqyYpBIrKF/t4ZjU3U7sDhwjWsTfO+rWutFwZ+BY8jeZFYIkWOypnktCa/ir3H5BH9n26EOxxPpdqAtcJdSKtg360ZgnFKqCbAUeEVrXauUGof/YeMF7tBaZ9us1SOACdked2D0Wn/8D3gv8Ff8s4Bne+xjgGeVUh/hr8G6Hfic7I87yHb5CEwaOkkp9TH+vlSXpuH6wUEvwaa+PyTw3neUUtdrrRcCp+IfUbsQeEApVYi/ZixbklkhRI7x+Hy++EcJIUQOUEo9obX+W5xjugLTtdbHKaV64R/5WwWsA67WWu8ITD9xNf4E8cFAM6Od63cFVsyePZvOnTun8Ekah1GjRgEwcuRIhyMJN2jE6w1ynVmjfwPAucNfa5DrJWtm6fkZPX+2loN0Wb16NaeeeirAgVrrn437crkmSwghUEqNxD9HVwE2pnAIfAkeF/h5Mf6O85HHTMA/CEEIIZImSZYQItc9jz/JqqV+2hGRBRprzYVIjJvLgSRZQohcVwZsxJ9kHaSU+kFrfaXDMQkhRE6PLhRCCIDFWuvLtNZ/BBZIgiWEyBZSkyWEyHUFSqkbgTzkD8esMm3aNADXzpEk/NxcDiTJEkLkupuBfvhXKljqdDCi3rJly5wOQWQBN5cDSbKEELluLNAOeEkpda3W+nqnAxJ+l1wSb5Uj4QZuLgeSZAkhcl0NsEpr/YZS6myngxH1lFJOhyCygJvLgfRfEELkunLgVKXUZPxLFAkhRFaQmiwhRK7biH9JHK/WeofTwYh6ixb5l4Xs3bu3w5EIJ7m5HEiSJYTIdRfjX7dwu1IKrfVkpwMSfrNmzQLc+XAV9dxcDrIuyVJKNQV+hb8JoNbhcIQQmZcHFAOfaa33JvJGpVQZ8DDQGVidgdhECnr16uV0CCILuLkcZF2ShT/B+sjpIIQQDa4f8HGC7ynUWs9VSj0rk5Bmn0GDBjkdgsgCbi4H2ZhklQO88MILdOrUyelYhBAZtm7dOoYMGQKBf/sJ6qSU6g8UB/6P1vrDdMYnhBDJysYkqxagU6dOdO7c2elYhBANJ5nuAS8ABwLTA//3AZJkZYmKigoAioqKHI5EOMnN5SAbkywhhLBFaz3J6RiEtdGjRwMwcuRIhyMRTnJzOZAkSwghREa0bNnS6RBEFnBzOZAkSwghREaMGDHC6RBEFnBzOZAZ34UQQgghMkCSLCGEEEKIDJAkSwghREaUlZVRVlbmdBjCYW4uB7b7ZCml+gKPaK0HRmwfBNwN1ADPaq0nKKW8wNPAUcBe4E9a6+Vpi1oIIUTWKy9PZuoz0di4uRzYSrKUUrcAlwO7IrYXAGPwz9K+C5inlJoJnIB/JubjlVLHAaXA+ekMXAghRHYbNmyY0yGILODmcmC3ufBH4Hcm2w8Dlmutt2qtq/AvidEPOAl4G0Br/SnQJw2xCiGEyCElJSWUlJQ4HYZwmJvLga0kS2v9b6DaZFcrYLvhdQXQ2mR7rVJKposQQgghhGuk2vF9B2CcJ78I2Gay3au1rknxWkIIIXLInDlzmDNnjtNhCIe5uRykWru0FOimlGoH7AT6A4/jXz9sEPBSoE/WkhSvI4QQIsfMnTsXgIEDByb0vqrqWpoU5GUgIti6ozIj5xXWki0HjUFSSZZS6lKgpda6TCk1HHgHf63Ys1rrNUqpV4HTlVKfAB5gaNoiNnH55ZczZcqUqO0LFixg4cKFXH/99Zm8vBBCCBMDBgxI6n1NCvIYNOL1NEcjnJJsOWgMbCdZWuufgeMCP79o2D4TmBlxbB1wTXpCFEIIkYvcWHMhorm5HORcZ/SNGzdy1113sWvXLtq2bcu4ceNC+6644gqKiopYs2YNd999NwCffvopixYtoqCggKeeeoqvv/6a8ePHU1lZyWmnnRY2tPTzzz+P2vfyyy8zY8YM8vPzGTNmDCtWrOCJJ57A4/Fw00034fF4GDNmDAUFBfTq1YvvvvuOzp07u3K1cSGEEELUy7kZ31evXs21117LlClTqKurY926daF9GzZsYNSoUTz99NNMnDgRgH322Yfnn3+e/fffn6VLl/LLL7/w5JNP8sILL/C///0v7Nxm+1599VVmzJjBbbfdxrJly3jqqad49tlnmThxIuPHjwegc+fOTJkyhfz8fM444wxJsIQQAli7di1r1651OgzhMDeXg5yryWrfvj1jx46loKCAlStXUlNTP2hxv/32o127dgDs3LkTgEMOOQSANm3aUFlZSYcOHbj77rspKiqiqqoq7NyR+zZv3kxxcTF5eXkcddRRAPzrX/+iZcuWAHg8HgC6dOkSOkfnzp0z9MmFECK3TJgwAUD+8HQ5N5eDnEuyJk2axIUXXkifPn248MIL8fl8oX3r1q1jx44d7N69m1atWgH1iVDQmDFjePHFF9mxYwdDhgyJua9169asWbOGuro6vv32Wz7//HNqa2tDCVwwSfN66ysEjT8LIYSbFRcXOx2CyAJuLgc5l2T169ePe+65hzZt2lBYWMjmzZtD+woKCrj55pvZsmULo0aNoqKiIur9AwYM4IILLqBNmza0aNGCmpoa8vPzTfcBXHjhhQwePJgmTZrw6KOP0q1bN6688kpqa2u59dZbqaura5gPLoQQOebqq692OgSRBdxcDjzGmqBsoJTqCqyYPXt2wk1vVlM5CCGy1+rVqzn11FMBDgyMYs5ZqXx/iXCNYQqHWaN/A8C5w19zOJLYZpbK0sKpiPUdJm1bQgghhBAZ0KiSLKnFEkKI7FFaWkppaanTYQiHubkc5FyfLCGEELkhOEhIuJuby4EkWUIIITJi+PDhTocgsoCby4EkWUIIITKiqKjI6RBEFnBzOWhUfbKEEEIIIbKFJFlCCCEyYubMmcycOdPpMITD3FwOJMkSQgiREYsXL2bx4sVOhyEc5uZyIH2yhBBCZMS5557rdAgiC7i5HEiSJYQQIiN69+7tdAgiC7i5HEhzoRBCCCFEBkiSJYQQIiO01mitnQ5DOMzN5UCSLCGEEBkxffp0pk+f7nQYwmFuLgfSJ0sI4SpKqb7AI1rrgUqpQ4DnAR/wDfBXrXWdUmoY8GegBrhfaz3LsYBzWPfu3Z0OQWQBN5cDSbKEEK6hlLoFuBzYFdg0GrhTaz1HKfUMcL5Saj5wA9AHKAQ+Vkq9p7Xe60jQOWzw4MFOhyCygJvLgTQXCiHc5Efgd4bXvYG5gZ/fAk4DjgXmaa33aq23A8uBng0apRCiUZAkSwjhGlrrfwPVhk0erbUv8HMF0BpoBWw3HBPcLoQQCYnbXKiU8gJPA0cBe4E/aa2XB/Z1Aoy92Y4GbtVaP6OU+oL6L6oVWuuhaY1cCCFSV2f4uQjYBuwI/By5XSRo1KhRAIwcOdLhSIST3FwO7PTJ+g1QqLU+Xil1HFAKnA+gtV4HDARQSh0PPABMUEoVBvYPzEDMQgiRLl8opQZqrecAZwMfAAuBBwLfY02Bw/B3ihdCiITYSbJOAt4G0Fp/qpTqE3mAUsoDjAeGaK1rA8c0V0q9G7jG7VrrT9MYtxBCpMMI/H8YNgGWAq8EvsPGAR/h71Jxh9a60skgc5Ubay5ENDeXAztJVmT/hFqlVL7WusawbRDwra6fbWw38DjwL6Ab8JZSSkW8RwghGpzW+mfguMDPy4ABJsdMACY0bGRCiMbGTpIV2T/Ba5IsXQaMNbxeBiwPdChdppTaDBQDv6QSrBBCCCFErrAzunAe8GuAQJ+sJSbH9AY+Mby+En/fLZRSJfhrw8pTilQIIUROmTZtGtOmTXM6DOEwN5cDOzVZrwKnK6U+ATzAUKXUpUBLrXWZUmpfoMIwDBpgIvC8Uupj/DMpXylNhUII4S7Lli1zOgSRBdxcDuImWVrrOuCaiM3fG/ZvxD91g/E9VcCl6QhQCCFEbrrkkkucDkFkATeXA1lWRwghREYopZwOQWQBN5cDmfFdCCGEECIDJMkSQgiREYsWLWLRokVOhyEc5uZyIM2FQgghMmLWrFkA9O7d2+FIhJPcXA4kyRJCCJERvXr1cjoEkQXcXA4kyRJCCJERgwYNcjoEkQXcXA6kT5YQQgghRAZIkiWEECIjKioqqKiocDoM4TA3lwNJsoQQQmTE6NGjGT16tNNhCIe5uRxInywhhBAZ0bJlS6dDEFnAzeVAkiwhhBAZMWLECKdDEFnAzeVAmguFEEIIITJAkiwhhBBCiAyQJEsIIURGlJWVUVZW5nQYwmFuLgfSJ0sIIURGlJeXOx2CyAJuLgeSZAkhxP+3d/8xcpT3Hcff59+A7yxSGvAJmjQN/pZfgWKrBWpzpxCgIBvT1pXASlD4YUNBbRNflcaU1HVFhBphMGmxGh9YJGmx2xJZiZ2CqYA7gSltsEP4Efi6jigNPUBAjM+HsX0+u3/MbBjWe7uz5519Zm8+L8mSd37sfZ7Z52a/N/PsPpKJJUuWhI4gKewa3MfxHdMyee4DwyOF7gcqskREJBOdnZ2hI0gK16zcktlzb1q1sND9QGOyRERERDKgIktERDLR19dHX19f6BgSWJH7gYosERHJRH9/P/39/aFjSGBF7gcakyUiIpno6uoKHUFyoMj9QEWWiIhkoru7O3QEyYEi9wPdLhQRERHJQM0rWWY2AVgDnA3sB25w952J9cuA64G340U3Av9dbR8RERn/BgYGAH2VQ9EVuR+kuZJ1JTDN3c8HvgqsKlt/LnCNu3fH/zzFPiIiMs719vbS29sbOoYEVuR+kKbImgs8AuDuzwBzytbPBpab2VNmtjzlPiIiMs7NnDmTmTNnho4hgRW5H6QZ+N4B7E48HjGzSe5+MH68AbgXGAQ2mtn8FPuIiMg4t3Tp0tARJAeK3A/SFFmDQHvi8YRSsWRmbcBqd98dP/4h8FvV9hEREREpgjS3C7cClwOY2XnAC4l1HcCLZjY9Lrg+C2yrsY+IiIjIuJfmStZG4GIzexpoA641s8XAdHdfa2a3Ak8QfYrwMXf/t/gTiR/ZJ6P8IiKSU6tWRZ956unpCZxEQipyP6hZZLn7IeCmssWvJNZ/F/huin1ERKRAhoaGQkeQHChyP9A3vouISCaWLVsWOoLkQJH7gYosERHJRHt7e+2NZNwrcj/QtDoiIiIiGVCRJSIimdi0aRObNm0KHUMCK3I/UJElIiKZ2L59O9u3bw8dQwIrcj/QmCwREcnE/PnzQ0eQHChyP1CRJSIimZg9e3boCJIDRe4Hul0oIiIikgEVWSIikgl3x91Dx5DAitwPVGSJiEgmNmzYwIYNG0LHkMCK3A80JktERDIxa9as0BEkB4rcD1RkiUjhmdmPgd3xw1eBrwMPAIeBF4Fb4jlZpQ5XX3116AiSA0XuB7m9XXjzzTezaNGi0DFEZJwzs2kA7t4d/7sWuAu4zd3nAW3AwpAZRaQ16UqWiBTd2cCxZvYo0TnxVmA20B+vfxi4BNgYJp6ItCoVWSJSdHuBO4H7gFOJiqo2dz8cr98DzAiUraWtXLkSgBUrVgROIiEVuR+0RJFVum340EMPBU4iIuPQDmBnXFTtMLN3ia5klbQD7wVJJiItrSWKLBGRDF0HnAXcbGadQAfwqJl1u3sfcBnwRMB8LauIVy7kSEXuByqyRKTo7gceMLOniD5NeB3wDtBrZlOAlwFdRheRuqnIEpFCc/cDwOIKq7qanUVExpfcfoVDJYsWLfrl+Kzk/0VEJH/Wr1/P+vXrQ8eQwIrcD3QlS0REMrFjx47QESQHitwPVGSJiEgmrrrqqtARJAeK3A9UZImISCbMLHQEyYEi94OaRZaZTQDWEH0r8n7gBnffmVh/NfAlYAR4HrjZ3Q+VzwUWT1WRKX2floiIiORFmitZVwLT3P18MzsPWEU8j5eZHQPcDpzl7nvNbD0wP56eAnfvzib2h1RYiYg034HhEaZMnlh1m23btgEwe/bsqtuV2zW4b8y5JH/G2g/GgzRF1lzgEQB3f8bM5iTW7QcucPe9iefbR4W5wNz9mcbFFhGRkKZMnsiCnu9X3WZOx3MA/PWDrzcjkuTU5s2bARVZo+ngw9t+ACNmNsndD7r7IeAtADP7E2A68O/AmZTNBWZm5u4HG5peRERy6+0DvxI6guTAueeeGzpCMGmKrEGiubtKJiSLpXjM1jeAWcAfuvthM6s0F9hM4OeNiy4iInn22r5TQkeQHFiwYEHoCMGk+TLSrcDlAPGYrBfK1n8LmAZcmbhteB3R2C0Sc4G90YjAIiIiIq0gzZWsjcDFZvY00AZca2aLiW4NPgtcDzwJPB5/TPMeKswFpluFIiLFMrltGIDhw5MDJ5GQ9uzZA0B7e3uNLcefmkVWPO7qprLFryT+P9rVsEpzgYmISEGc3f4SAM8OnhM4iYR01113AbBixYrASZpvXH4Zqb7WQUQkvAOHxuVbjNRp+vTpoSMEU5jfABVeIiLN9fzQmaEjSA709PSEjhBMmoHvIiIiIlInFVkiIiIiGRj3twtLtwlFRKS5TjvOAXj5/eJOECywdu1aAJYuXRo4SfON+yJLRETCOG7iB6EjSA688UZxvyZTRZaIiGTip0OzQkeQHFiyZEnoCMGoyBIRkUzsPXRs6AiSA52dnaEjBFPIge+LFi3SWC0RERHJVCGLrEpUeImINFbn1DfonFrc8TgS6evro6+vL3SMIApdZI1WWKngEhE5ep1T36Jz6luhY0hg/f399Pf3h44RhMZkpaRvjBcRqc/A/hNDR5Ac6OrqCh0hGBVZIiKSiYH9M0NHkBzo7u4OHSGYQt8urKXSbUPdShQREZE0VGQ1gAovEZEjHTthL8dO2Bs6hgQ2MDDAwMBA6BhBqMgSEZFMnD59B6dP3xE6hgTW29tLb29v6BhBaEzWUaj36pUGz4tIkbw/ckzoCJIDM2cWd2yeiqyMjKWgUhEmIuOJJoYWKObE0CW6XRiYxnOJiIiMT7qS1QQqokRERIpHRVaDNaqg0q1DEWl1n5n+IgDPD50ZOImEtGrVKgB6enoCJ2k+FVmB6OqWiGTtwPAIUyZPzOS5dw3uq7nNlAkHM/nZ0jp2De5jaGgok+fOsn83ioqsnNMVLREZqymTJ7Kg5/vBfv5P9pwR7GdLPlyzcguT26J+0Oi+uGnVwoY+XxZqFllmNgFYA5wN7AducPedifULgL8CDgLr3L231j7SOCrCRCSvhg9PDh1BcqDI/SDNpwuvBKa5+/nAV4FVpRVmNhm4G7gE6AKWmtlJ1fYRkTD0SVYRkeZKc7twLvAIgLs/Y2ZzEutOA3a6+y4AM3sKmAecX2WfVIZPmAvHzGD5mqc4cOLFH1mX5bJm/7x6MlSS3Keal156CYAzztDl+1aTfO0qvY611pek7SvN9v7gO6EjSEY+Me3nALy275TASSSkIveDNEVWB7A78XjEzCa5+8EK6/YAM2rsk8qps2ZxXMcJQOU3jCyXNfvnpc1QegNNblPartIb7Vi2q7ZsLPs0elkjn6ek0RlqPXf5unqer9LrWGt9I9qcdtlY9hn+YDcyPv3qlHeBYr65yoeK3A/SFFmDQHvi8YREsVS+rh14r8Y+qXzl83M4+eST69ll3Fu0aDUw2viruam2K627494bK25XWlaS3C75/0rrm7Gskc9T3uajPQ7J16Da83zoyNesVtZK+1ZSKWulNlf6eWmXVTpeY3p9Dhyo2hZpXf/zgc7hUux+kKbI2gosAP7FzM4DXkisexk41cw+BgwBFwJ3Aoer7CMtoBUG0qfNGLItrXAc06inHaVtNf5L3hk+IXQEyYEi94M0RdZG4GIzexpoA641s8XAdHdfa2bLgC1Eg+jXufv/mdkR+2SUv1Aa/YbdCkVKWlkdm9EKhWYUEkfTpuS+lZ6n0fnHkrW0zxVXXNGQDCIieVOzyHL3Q8BNZYtfSazfBGxKsY80SaPenKutT7451/uG3QpFW0mzsoY6JtUKMJGjNWNSNN5u98EZgZNISEXuB/oy0oJppTfQ0bLmqSAZ7xrV5iIeO4FTj30VgGcHzwmcREIqcj9QkSW506irK814Y1fxIDK694Y7QkeQHChyP1CRJWMylvFcKkjyLdQYvTVr1nDRRRc19DklH3Z+8KnQESQHsuoHuwb3cXzHtEyeu1HzIqrIksJT8ZcNHdfasp7gNs0kziKt6pqVWzJ77kbNi6giSxrmaG7p6eP+kifNmn819ATOIpKtNHMXiogUjeZfbYA5Hc8xp+O50DEksCL3gzxeyZoI8Oabb4bOIUfhQPwt3q+//nqq7VevXl3X9mPVrJ8j6SV+17O7b1a/anO2VlP3+Wt47y/qDtcqhiYMAeO7jdVMmhS9xRa1/SWt2A/qeY+odg5rO3z4cIMiNYaZzQWeDJ1DRJpunrvnYvZqM7sP+J67Pxw//l/gU7WmB9P5S6TQjjiH5fFK1o+AecAbwEjgLCKSvYnATKLf/bwY6/yrOn+JFM+o57DcFVnuvh/IxV+zItI0PwsdoEy1OVtHpfOXSGFVPIflrsgSEckBzb8qIkctd2OyRERERMYDfYWDiIiISAZUZImIiIhkQEWWiIiISAZUZImIiIhkQEWWiIiISAZy8xUOzZqQNStmNhlYB3wSmArcDvwUeAA4DLwI3OLuhwJFrJuZfRzYBlwMHKRF22Jmy4ErgClEfayfFmtL3L++TdS/RoAltOBrYma/A/ytu3eb2aepkN/MlgA3ErXvdnffHCxwnczsN4H/BE50931l64K3y8yOAx4EPga8D3zB3d8u2+abwO8Ce+JFC919d1ODkjpr8GMa55gB/CPQQXSeWebu/1G2TV6Oa5qsuTiucZbfB/7I3RdXWJeLY1pNnq5ktfqErJ8H3nX3ecBlwN8DdwG3xcvagIUB89UlflP/FvBBvKgl22Jm3cAFRL+IXcAptGZbLgcmufsFwN8AX6fF2mFmXwHuA6bFi47Ib2YnAX9K9HpdCtxhZlND5K2XmXUQnbf2V1iXl3YtAbbFx3wDcFuFbc4FLnX37vhfqDetqllzdEwBlgGPuXsX8EXg3grb5OW4Vs2ap+NqZvcAdzB6rZKXYzqqPBVZH5mQFUg7IWte/CvwtcTjg8BsoqsmAA8Dn2t2qKNwJ/APwED8uFXbcinRt3VvBDYBm2nNtuwAJsVXfDuAYVqvHT8D/iDxuFL+3wa2uvv++IS5E/hMU1OOgZm1AWuBW4G9FTbJRbvcfTVRgQ7wa8BbyfVx/zoVWGtmW83suiZH/KVaWcnJMY3dTfRHKUR3iMqvYubmuFIjK/k6rk8Df1xpRc6O6ahyc7uQ6I0jWYWOmNmklPOFBefuQwBm1g48RPRX153uXvocsDdQAAAC4ElEQVS21z3AjEDx6mJmXwTedvct8a02gLZWbAtwAvAJYD7w68APiOaha7W2DBHdKnyFqE3zgQtbqR3u/j0z+2RiUaU+VX4eyF27zOx64Mtli18DNrj7T8ys0m5Nb9coOa919x+Z2ePAWURDAZKOA/6O6CrjROAJM3vW3Z/PYdYgfaVG1pOIbsV9qWx9Ho/raFnz1Ff/Ob4bUUmQY1qvPBVZY52QNTfM7BSiKyZr3P1BM/tGYnU78F6YZHW7DjhsZp8DzgG+A3w8sb6V2vIu8Iq7HwDczPYR3TIsaZW2fBnY4u7L4372ONF4ipJWaUdScvxYKX/5eSB37XL3+4H7k8vMbCdwffxmcRLwKHBhYpOmt6tSzsS6z8bjx34I/EZi1V7gHnffCxAXOGcDmb5xjTFrkL4yWlYzO4votuafu3t/2epcHdcaWXPVV6sIckzrlafbhVuJxp1Qz4SseWFmJxKdWP/C3dfFi3+cqMIvA54Mka1e7n6hu3e5ezfwHHAN8HArtoVost7fM7M2M+sk+uvnsRZsyy4+/OvyF8BkWrR/JVTK/1/APDObFg/QPY1oUHyuufunS+NCgDeBS8o2yUW7zGy5mX0hfvg+0YcokmYBT5nZxHhc5lxgezMzlqTImotjCmBmpxMNGVns7g9X2CRPx7VW1twc1xpyc0yrydOVrFafkPVW4Hjga2ZWGpv1Z8A3zWwK8DLRbcRW1QP0tlpb3H2zmV1IdOKYANwCvErrteVuYJ2ZPUl0BetW4Flarx1JR/Qpdx+JPzH0JNHr9Zfln9JrJWa2DNjp7j/ISbvWAd+Or7hNJD7PluX8J+AZonF/33H3lwLkTJs1D8cUosHZ04B74tvFu919YU6Pa5qseTmuR8jpMR2VJogWERERyUCebheKiIiIjBsqskREREQyoCJLREREJAMqskREREQyoCJLREREJAMqskREREQyoCJLREREJAMqskREREQy8P+7zN8iQyRUOgAAAABJRU5ErkJggg==", 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4DhgM/EIpdXZqZgqp4PH6xxC3O98Kc4orK50Y4cJc9WQZaK1/B/TAn59ljp+XAruBvYHX4duzkoqKCioqKpw2Q4iC9E9+k3Tiu1KqE/Aa8JTW+iXTdhfwiNZ6T+D9W8AJQNYmjtZ3arz+QbEg70SWkE6CIsuTmzlZSqnhQEet9f3AfsALfKGUGqS1ngP8GvgY+Bz4q1KqAf6c0574k+KzklGjRjltghAD6Z/8JtnE93bA+8CftNYfhe1uCqxQSvUEKvF7s55PyUohJTwev8gqLMivih2Sk5Vecj0nC/gP8IJSah5QBNwMrATKlVLFgdevaq09SqnHgPn4vf33aK0POmV0PEpLS+MfJDiG9E9+k6wn626gBTBGKWXkZpUDjbXWk5VSd+P/RXgI+Ehr/XbqpgrJUuPxq42CgvzyZInGSi8FAZHl8eTmk9VaVwIXW+yKWMFXa12O/ztNEAQhaZISWVrrm4CbYuyfBkxL1ighvRg5WYXuzHqy3l+0jk+Xb2TciFMzel2hbpC1trOTWbNmATBs2DCHLRGskP7Jb/IrfpSnGOHCTHuyHn95GUu+25rRa5rx5UG8cMWa7SzVmX3G+fBcc4mlS5eydOlSp80QoiD9k99Ixfc8oKran6icbzlZ+RAvvOupBQDMmnhunV9LtFV2cvbZMnk7m5H+yW9EZOUBP231Tx9u27KRw5YI9QHRWtlF3759nTZBiIH0T36TZ66N/OTgIX+tWKdKOHi9zgzLIgbSi4QJBUEQEkNEVh7h1Bjp8SY35d/j9aUk0EQUpBdfxAshG9BaI0vDZi/SP/mNiKwYfLp8Y9ALlMu4AtPCnBIdydZV+sOE97li7DtptkZIGhFXWcnMmTOZOXOm02YIUZD+yW8kJysKazbs5v4pixncrxO3XNrHaXNC8Hp9uFy14sn2eY55shK/8N7KKrbvydr6j3mJIdJ9orayih49ejhtghAD6Z/8RkRWFPYHPFhbdu532JJQqqo9XHDnbC45Q3H5mUfZOsfQYk55smo8iXuyKvZXpXxdiRamF3mc2cmll17qtAlCDKR/8hsJF+YYlQeqAXj3s7W2zzHEhtcpkVWT+HUPVefm+ni5xqbtlbaftfHxEfEqCIJgDxFZOYYhlBIp3h4M8+RA4vv4Zxdy/h2z0rI+XiZu948P/pcx//g0A1dKPx6Pl5H3f8iD076weYaoK0EQhETIa5E19e1v+eaHHZb7snUFEUOvuBPIx6r1QGR/4vsXK7dQXePNmCfL5/Ol9FzWb97HslXb0mhR5qgJ5Mp9abNivHiwspPx48czfvx4p80QoiD9k9/ktch65aPvufPJTyz3Zet4YniF3AnUvDISlZ2qV5XMdavSIbJsqIJzbn2TR2Z+mfq1chBfoF9cNj9LxtNc8cMOftqyr46sEgRBqD9I4nuOURsuTMaTVRcWxSeZXLB0iCy7V/3vFz9l3QzSTGA8H9sfJSO3z+vjhr//NyNL+QjxGTt2rNMmCDGQ/slv8tqTFYvsDRcGRFZC4cKAJ8shlZVMCYdkc7I8ScxkzAZe/nAV6zfvTeicVMO/xvkHDnlY6uBC3oIgCPUVEVk5hjGuJhYuDD030yQTLkw2tGnO5TLf7779VeypOJRUm3XNoWoP095ZyR1PWIeuo5Fqf5qf8djyz+JfL2uD6IIgCNmJiKwc453P1gKJFSL1BZw7mU58N0xMxoOWjPcrHPP9XjbmHa4Y+27wfVW1h9GPzk267XWb9rJjz4GU7AvnYFViIdJUn1C8Z3zF2Hf4u2nmoSS+ZyczZsxgxowZTpshREH6J7/J25ysbFvX7vW5a9iyo5Jrz+8d87hZ838Aoi/2POaZT+ndvTUXDamtMuxU4rsLvxDweDLnybJ73rrNe1m1fndS1wD400MfJ31uOEmHc1MOF8bev6eiivnLfub24f0CJ6R0OaGOWLVqldMmCDGQ/slv8lhkOW1BKM+9uQIgrsgyiBYuXPb9NpZ9vy1EZAUTljN90y4X+HxJXTdZW+16wBLJaatrki2xkWpvJvqMJVyYnVxyySVOm5BWdu09SIumDeqk7apqD8VFBXXSdjTqW/8IiZG/IivOfqcXVY5HIjlZxmCacY1lXD8Jr1Sy4ULztWLdbyLPr64JLxY7d+kGjunailbNGto6L1kS7Rfz5bLp+eU7SimnTUgrV45/r87admJGbH3rHyEx8jYnK1vFk10SGeOMO3VqdmEmE9/t3mM2iQTzrVbXeHlo+hJufXRe3PNSTnxPwXNWWJC3Xx2CIAi2ScqTpZQqAp4HugAlwASt9Zum/cOA+4Aa4HmtdXnqpqaXXNFYHq+P/3z8PcN+cSQNSmq7K6Fwl0N1svzeQF9SXqlkPVnm84aPezfqL1enw4ULvtrInspDFLhdnHpsWXC7IXy27zkYt42Uw4UWz9j48WE5scL0ASoqyB6Rmu8sWbIEgL59+zpsiWCF9E9+k2y48Apgh9Z6uFKqFfAl8CYEBdjDwIlAJbBAKTVLa705HQani1zxZH2y7Gemvr2SXfsOMfK8Y4PbkwkXZjzxPYXZhXWd+B5t4kCm+NvUxcHXT7zyVfC1L4H7TvYzPO2dlbw+ZzVP3DY4ZPvBQzXcN/kzVq7daSlOzVcrKsxsXosQndmzZwMyiGcr0j/5TbIi6xXgVdP7GtPrnsBqrfUuAKXUJ0D/wDlZQ25IrFrPzL7KKl6fuya43UpkvTFvTcQ2MzUJLNScDlLJyaprkeVUuPDZN1ZQ2qgo6v5EBGmyvxNe/nCV5bUuuvst29crLJRwYbbQp0/+rVaQS0j/5DdJiSytdQWAUqoUv9i617S7KbDH9H4f0CxZA+uKXPFkFQVyX6o9Xt797Mfgdqtw17NvrLBsw7jXZKuop8rPWyuCr9/9bC1V1R7OGdA15jmGuDTf5pLvtnB89zYUxMgHshtmdKr74wlhs/lfrNzCwaoafnHcYQD8vK2Cf/xnOXdfdRINSgoznvhu/mlSJCIraxg2bJjTJggxkP7Jb5L+plRKdQI+BqZprV8y7doLlJrelwLJFySqI3JEYwU9BjU13pABOJm1C2syLLKMhYdffOvb4LYnX/2K8ihi0Iw3LDdoqd7KuPKFvPzR97HPCxMOm3dUWh6XreUIzMJp/LMLeWBqbTHQZ/6znC9XbWPFDzvScq1E14cM8WRJ4rsgCEJckvqmVEq1A94H7tBaPx+2eyXQXSnVUilVDAwA4q/ZkSRer48l321JvMZQnOOzxdNleAxqPN4QL00yIisdiy6H4/F4Waq3WnpFUgnIGQVMjTZ27fUngkcTTQbfrt0Z8n7mB9r6wOzo3ghieZe27/ZXmG/WpBhI/YfCoRRElniysod9+/axb98+p80QoiD9k98k+015N9ACGKOUmhP4d7lSaqTWuhoYBbyHX1w9r7X+OU32RjD7kx8YV76QT5dvSui8eANUlmgsCgOzuGo83hDhl9AC0QFFUV0Hiyc/++YKxk7+jFU/7Upru8HaXgmc8/Wa7Tz16lch2woL3JbCJVGBkSli5WRtC4isZIuXhnMowWV8JFyYnUyaNIlJkyY5bYYQBemf/CbZnKybgJti7J8FzErWqETYvHM/gK115N6ct4YuZU3p3a1N3MHbPNjtqTjEFWPf5Y4r+wXzYzLF36f5p//WeHwhYiGR2XHGrdRFTtbn3/gnjR46FDlgp+I5M5KzE1G7OyzKHrhdrggxUl3j5caJc+K299YnP/DB4vUcWdaM4b/pSYvSuqlCbSbW7RqiKBkBatmeeLLqBU2aNHHaBCEG0j/5TV5VfDdygWZNPNeGKyvwnw/Wb/G7emd/8mPGRda+/VWAP5+qj2rLB5+vB0ITwuMRTHyvji+yvv1xB3c88QmP3DKQrh2b27Cv2t+2hZcsHRUjwttYvno7q9bvokfnFhHHWunOwkJ3hHfIrrh45rWvAVizYQ/VNV5GX+6fgp3MzMcPFq3jlGM7xD3OjnfKCKWmHC5MYUFqycnKHkaPHu20CUIMpH/ym7z9pow3TjpVHR38eU4z3tcsWL6xdpvPR7MmJcH3CeVkBf6vqok/qH72tT/s+tX32221bdhRbdH2YW38v+C6dkxtcqlZeGzffYDRUaqhWz2Tw1o3jphx6EkibGr+OCT62di59yCPvbyMe55eEPfYGhuLadcuk5TaZ9QQ8HYxX27Zqm1sCXiRBUEQBGvyVmTFTXw3vU4lgfvHjXs4WFUT/0AT85b9zEvvfcffptQWrPT5wsOFbvS6nQwb/QY/bYmdVGkUuNxbWTuorlq/iz0VhyKONa7hdruYu3QDH36+LmbbRm5YTU3059muZaOIbT/8vMfiSGvsagmrKuU1Xl+E58kqbFrj8bJmQ/RJsOamY1VKt8I4/seNe6MeY3DIxmfFaC9ZjVVS7C8k+v1P0e9347YKi62hFxx5/4fJGSAIgpAn5LHIir1/+rsrLc5JbFTbf7CaGyfOYeL0JQnY5ePAociB1usNXZ7G7XLx0eKfAH8ILWabgf/3VlZRXePB4/Ey+tF5jHt2YcSx6zf7BZvbDQ9NX8Kj/1oWs+2CQGJ+tSfSkxW+8LHZ/mWrtsVs16qdeFhNBvB4vBF9bSWy/jZlMTc/PJcKG94dK5F1zq1vWhzpJ5GPjZ1QZlBkJZmVVdrQXww1Vs7c9Pe+i9gWfh+ZXkFAsGby5MlMnjzZaTOEKEj/5Df1RmR9uWob//1ive3j4w1Qq9bX/sq38pA8+8YKnvr3VxHbzRii4us19usaeS08L8Ht5tmFblgd8Lw0bhAntc7UXMWB6uAstS2Bcghbd+3nTw/+l517D7Lse7/4KbCZ9GUIm2oLT5ZhrnE/X5mEVSKJ03aHcqvJANUeb0R4zyq0uSiQwB91coDZk5XmciFmqmzkzQXFqqnZZEKHMa9l0ZzVFVat38Wm7bHLagh1y6ZNm9i0KbHZ1ULmkP7Jb+pN4vsXK7fwxcotDO7X2d4JSfwIN49jRuXuGy44LurxhjhLJAfI6/OHrqy2m9v5YuXWYE5Nw5LY3WgWlB6PL3hek0b+ektvffIj6zbv479f/BQ8zm0zsdnwZNUEhEt1jRe320WB22XKHfIf28gkBhMSWTYFhJUu9HgiRWtVjFmW0QSUz3RKoh6cRESZndCy1ezCGo+XwgI3ox6dR9PGxYwfcWr0BgIPak9lZLjYwNJii/sw8uOiLcQt1D0jRoxw2gQhBtI/+U298WQlSroS29+cH32ZFEMcHExgFpfX52PXXutcKXO4zZy0POGFz2O2ab7VGo+3Nu8qMNgau80axW4drqAnK5Cw/X/PLeSaCe8H7wVg045KNm6rCBFBiYgsu5rGMifLdL/BbUmUspj75Ybga7tL9ySDnc9KbU5WrR3n3zGbN+atYfVPu1n63dbYDQTOs8rJC14jyb+Pr9dsZ/G3WbUWfL2nrKyMsrIyp80QoiD9k9/krchKF58s2xh1X7ILI1vVewpPfLfD7E9+YNjoN6g8WB3cVl3jxVgn2tAkxmBtHljtztAPn1345aptQfuNhPuftuzj2r99FCJO6sKTZSUMazw+i3BhdJFl51LRBEi0HCc7Ce8G8SYxQPTEdyNHzy77KmPkn9kMF4Zz91ML+MtzixKyQxAEob5S70TW+s3xB7QFyzeye1/kr/gDh2p4b+G6kEE93i/6ti0iZ84ZJOMM8Hp9lknkXp8vWCPLLrPm/wDULkkDAc9O2LqA4blTAG53/I/G1p37g/k4e8MG7NfmrGZ7mFg0t59InSW7z9HKZH+OW+g2q3Bs+LWs8rbMbVrxkkWyOMD/ezG2p9GMnfym8DBswgTz6GI8BwtJlS2rIAihzJkzhzlz5jhthhAF6Z/8pt6JrD8++HHcY/42ZTFj/hG5nOI/XlvOE68sY4UpUd3j8Ubk+kx9u3bB49JGRVGvk0wysjeKxypRL9ZT//6KjYEBe6cp/GgOnwU9WYEB9Z/v1ooEO3W4/moKU74+NzRs+vysbyKONwvWdz5dG7d9A5/PZ6v4qpXNPl+kJytWuM/n8+Hz+fh4yYaox4SLNoOKA9XWOxJgd4wQnkGwGGmYEEo0xGdHbMbfaLq+6bnKzMPMMXfuXObOneu0GUIUpH/ym5xPfN+yI7Igot+iy0cAACAASURBVNfriysSrAoxGuGWl96vFRs1Hl/EWnGvfPR9cH/jhtFFVjJ5LeG5V7VtJdZONBFjTgR3h3myEsUchrSDeeA1ZjHaYfLrX9sKhbksKppZzdaMJQB8wFK9lcdfjl66Ilq/rt+8j6f//RXXx5gMEY9YeVIGT/9nOQP7dOTjL0KfSaL9mOhnKt7hYyfX/nCpqvbQIM6EjEyjlCoCnge6ACXABGAD/iXAjD/qp7XW/1JKjQCuBWqACVrr2Zm32B4DBw502gQhBtI/+U12fQsmyD9eW87nFkm2Hq8Xt7sgobbMg1uIJ8vrjemRiiXmrDwe+w9Ws2r9Lo7v0Ta4LTw8mYwn66BFbS0rqj1ePGH3Y3V/096prRP21ffbePKVr7j36pPo3L5pcHuiCeDRPEDgX3vy79O+sNxnN9fIKsTltfRkxfLg+KjYH1s8RuuLlWt3snLtTt7+dC0P3tifow5vacPqUPZYhLHDqTxQzbDRb0Rst5PPBfaWZDIq/5uJJ+LMwrna46XuV3pMmCuAHVrr4UqpVsCXwF+ASVrricZBSqn2wI1AP6AB8IlS6gOtdfzOcYBBgwY5bYIQA+mf/Canw4VWAwHYW5oknGiCYduuA7WeLIv9sbxVZvFivJ700lLG/OOzkAWtzZeOWifL56Nxg0KG9T/S8loX3f1WVDvM1NREzi60urGtpiVT/vHa12zaUcm/P14dalOYWIkXHh1bHhmiNXh97hq+/XFnzPPj4bPQTj5fpCiKJw7jzay0EwaeNe+HuMdYsbsisaVukiFZz2UixU/rYjHyNPAKMMb0vgboC5yllJqnlHpOKVUKnAQs0Fof0lrvAVYDvTNvriAIuU5Oiyyr4pOQ3Np00ThY5WHO0lj5OdEHHm+Ih8r/v1FRPWRxXvNxXmvhZuQW2S2tEI2QnKxA78cbOo3nHC4uwsVsKnk46RiUbXuyYohwr88XfC7RsOPBC/cW2qFhSaFlntTKFMVnBMmrrKiYJ1dAdoosrXWF1npfQEi9CtwLfA7cprUeAPwAjAWaAuZ1n/YBqS3AWYds3LiRjRujz3IWnEX6J7/JaZEVLVRnDP5ffb+NyjQkI3/zQyB86IvMmYk2Xi3VW7n2bx8F3xteH0MIuFwutu8+wLDRb4SsIefzRcnJ8vrweHxRhaVdajy17RuzC+PljhUWRBGzYXbaWRLGimGj3+CtBT8mda4ZK+2zdtNeft4aug5fTJHks663FXqd+CIlGcHZ3LQAuJnbn5hvGR5MlmRrYJW/scJ2m/9dnNhM2EyhlOoEfAxM01q/BLymtTbWvXoNOAHYC5SaTisFoi/06DDl5eWUl5c7bYYQBemf/CanRdZmi6R38AucigPV3PvMp1xy79ssX20/ydoKo6q5Xr+LK8a+G7IvWuho8mtfhwy0hvfE2ORywZJA0chX/1ubSB8rJ8vri5/QHw/zbLtgS3HG3IJAbYTww8I9hubZiXZ4f9G6mOvnndyrfULtWd2HXreL+00LbUNkmDO8iXiP2I6ASkZkNW1SbOu447u3SbhtM3Ux8S/8kb70vk7/RVJEKdUOeB+4Q2v9fGDze0qpkwKvhwBL8Hu3+iulGiilmgE9gegK02E6dOhAhw4dnDZDiIL0T36T04nv0Xh4xlKm/+XXwff3PP1pSst+FMaoGRXNKxJebLN2vbna441SUca6eeAfnK1qeHkDuUWperK8vtrZkuEV36NhiMzwnKfwe/8qgRmDAI+/vCxmsnarZomlTtvNGYrlyfJ6ffE9WTZUSjLOomaNrT1Z4dTEmkEQoPJAddSZr8mUFolHulZQqGPuBloAY5RSRm7WKOARpVQVsBkYqbXeq5R6DJiP/4foPVrryArBWcLIkSOdNkGIgfRPflMvRRZEzqCKNbAsX72Njm1Lo+4viBIu87drvT08xGYM7MbhLpfLcjBfsHxjsL5V+Plen736VbHwemtFluHKijfoGoVDl6/exrDRb/CXkadygmob4cky8s0SwWoJIYPiosRmiNod580iq89RbSOWoYmX92YrXJiE6GgSo+aamVg5ZQaX3Ps2U8b+Dy2bRgpVGxothOv+9iEXD1Uxj8mFulha65uAmyx2nWZxbDkgMR5BEFIip8OFsQj/0o815t3z9KesWr8r6v5Y3qNoAiW8onn4UigfLFpnKbKmvr0yYhvUFo5MWWT5agWA3TpZxjV3BTxs0wOVzdMxrsYSI7GW3rHqL7seGrNICfdS2il8WlfhQvMC2rGIVUTUjHkGq5lEPVk/b6vk4RlLYx6TI54sQRCEjFJvRVb4d368gcUqRGcQq6hitMG0MCJcGDow/uvDVQkNxMaxKYcLLUpE2PVk1Z6QkgkR9pgxC5ySGJ6s0Y/Oi9hmZ5wPn1gQ7qX0YSPx3YbGOWCzbpmZRg3S58mKRZ2EC03PtHHDIo4+IvEaYUJyTJw4kYkTJ8Y/UHAE6Z/8JiWRpZQ6WSk1x2L7KKXUN0qpOYF/sWMNdUD4L+t4w0qsX+Lxpvx/9b0/jLZmQ+0EpPDq41f95X3e/WxtSOmGqhjr40Uj2RIOE67zR0TMIsvttufJChd2idRLikf4c3/zodrcuXiLSG/Y6g9P/rhxDy+9950t8fDanNUhYc5wAenzRX/GxnOz47VZuXZnwmUMGtmskB6rmKqZaGbWTeK7v9FTj+1A947NcyJ8WF+oqKigoqIi/oGCI0j/5DdJ52QppW4HhgNWK9r2Aa40TY3OKD06N48YcOMNwL6wQeGIsqb86aLjGf3oPFZviD572+eDT5f7a6CsXLuTrh2b8/k3m1nxw/aIY5989auQ9yG1smwSKz8sFiXFfq+Q2ZMTvnZhNMJDlOkcP2MNxkWFsXOy/vPxan4/rBejH51HdY2XO688Me71Xpj9Lb27tQ6+jxCQPh8Wq/MA/lwut9tlW0Ds219lmRMVjYa2w4Wh13/45oE0aljItfd/FOWMUOrCk/VmYDHyQX068t6idQmvBiAkz6hRo5w2QYiB9E9+k0ri+xrgfGCaxb6+wF2B5Sne0lrfn8J1EubIw5pHhHTijSvhxSOPPKwZHds2AWKHfrw+H54a/7lGovb/Pb/Ilp3//vj7+AeFkawny8g9MhfnTDQnyyCdXopYXqHwkGs4H3y+nk+++jnoMQpvq2njYvZWxq6gnoho9Xi8FBW6bd//3srERFaynqxunZrHDHeHUxdepmWr/JMH3G4XbpdLcrQySGlp9Ek7gvNI/+Q3SYcLtdb/BqJV+pwJXAcMBn6hlDo72eskQ02NN+JLPt6XvtVuO0nmXq+PDwOFF4vjiIJw9thYQuWGC0MXG042J8sQLMnkZC34KrRacaL3GYtYA74dQXngUK030NzWrInnRi1hYJ61aDVBIZpNhnfGbjX3b9ZEejNj0dCmyLJaNsoqtGru1+oaD1Pf/pY5S36iqg6qsW/d5U+yd7tdFCTg7RMEQajPpD3xXSnlAh7RWm/XWlcBb+GvopwxajwWizrH+c6PSMDGFSzCGfM803VSnflnRYdWjbjgl91SvoYhzox6W2C/TlY4lQcTT+qOhlVYydBWiQrKBctDxeAmi1IYEFpENfx5+oguOj1eHwerapgy+1tb9jzz2te2jjOwn/geKZKKi2J/VseVL+SVj75n4kuxZwmmitvlwu12Sbgwg8yaNYtZs2Y5bYYQBemf/KYuZhc2BVYopZoEBNdg/FWUM0a1J9KTtXCF9WLSBlYDq51B/qPFP9Gyqb+IZF2s1+ZyuSgweVuSFVlFZk+Wca+BpmoStDtWlfZwLhrSPeZ+q3IEhqcp0XuNtmB4OF+uqi2aGtHHvujeNY/Xyxtz1/DDxj2W+1PlsEB4Oh5WAiZiBii14nnjtgqWr07Mq5Ysbrcrobw1IXWWLl3K0qV1K56F5JH+yW/SJrKUUpcppUYGVq2/G//6YPOBb7TWb6frOlYceVjo2q0e0yLIBvF+wYePCS6X/UF+Z6CgZl2EYdwuV4iXwmowtaJz+9A8AOM887I923cfYNfeg3xiCgfGyyE6vXdZQgtwG2UYfju0h+X+6moLkRVIeA8XQGWtG9u+rl3Cn+ctj8xlwgufWx7r9fqSXp/RDs2alHDd/x7Lcd1bxzzO2vtn8VkNHDZv2c/pMM+SAccfFvK+wOWiwCUiK5OcffbZnH12RjMyhASQ/slvUqr4rrVeC5wSeP2Safs0rBPi64Q/XXQc9z7zKfsDYSyvN/FlTdIx46o6jQNwSXEBh6o8eH0+mjSsXdOuSZQ8o3DCbye4NI5pduGGrRVcOf69kONaNC1h517rFUS6dGhKk0ZFeLw+288r3iLU+w9FpvU1aVjEvv1VESLX7uy7RLDjrXS7/CJ8w5aKuIn0djnp6PZ8/m3tckoDTjiMAreLs35xJFt3HeCr76N7nuyK3Fnzf+CoLi2TzuO75pxePPfmNzGPCS9D4na7cBdIuDCT9O3b12kThBhI/+Q39aIYaWmjYs4bWJu3ZJ5BZ5dPo4Sayu8earuNdIYLu3VsDvjLAJgTuJs0sreIcHimVdCT5Y39bG76bfT0uduH96PA7aLG4+PlD1fZssJwsETzbPy0JbJ+TKd21rNx1m3aa+uaLUrtrQEIhIRi4x1z7z8+5b2F62y3HYujurQIeW/XQ+kOPH+DCddGrAgTxPBgJSuy4hVlBaiq9qI6196LzC4UBEGopV6ILLfLhXkc8Xi8CXuyVv9kXQurfSv7Iap0hguvOacXV/z6KE7u1SHEexXuyTrjpM6cN7BrxPnhJSyMQdzj9eGNUVy1NIaIKyp0U1jgxuP18s5na+Pew3kDu9ouE2GmQYk/XBjusbGaVWfF/X/8he1r2REgdgTQgBMOY+q4/4l73LkDunJyr/ac3Kt9yHa7VdyLCt0hJRzsiBm3jQkcVtiRZoeqPfyyX6faa7lkdmGm0VqjtXbaDCEK0j/5Tb0QWQUFoYstm/OOksXOr/hwXnrvO/77xU8pXdegcYMifjtUUVToDlk4OHzR5MICN1ed3YvBpoHOT7gnq1bsxCpBEOu2jaRmj9cX1dtkpmXTBsHnmEhvGKImXFR16dDU1vmJ9JydOll2cvOaNiqmRWlkPttlY0LTEVs1a8C9V59Mg+La0Ofh7Uu5eGjtBIFYz6qwwB0iWO1MQrASkvGq6YO9Hw1V1Z6Q5+N2I7MLM8zMmTOZOXOm02YIUZD+yW9yWmQFZ6G5XCHiwOut+wVrn7j1l5bbn3tzRVraNw9cZu9VuFfF5fIPouebyjyAX0y1a9mIPqot153fO+hRqqrx8K8Poof6YolLt8vl92R5vLa8O1t37q+tKp9Af9SKrNBB/oyTOts6P9o9DOt/ZOS1bHh5DhyMVg6ulmh3t29/6LlGYVuzjU/cNpjO7WsFZKxnVRTR//EFoJWQtBPatrP+YnWNN6SemcwuzDw9evSgRw/riSWC80j/5DfpzyTOICVFBf5f8q7Qwcbj9SY0A86KeGNX5/aljB95Kv98ZyXfm0KNFQfiD8jRePn/ncXFd78FhIqpxiEiK9QwY4ALL9zpA56954za94GB+/v10ZcIgtheILfbRUGBPyfoYFX8AdjtdsVNfLfCuMfwPrSTPwXR+65nl5bMCiz/kkibdvSCXRG5K1CZPdbnK9az2lsZWtm9X892ca9pJyT6+K2/5M8PfQz4n9OhKg/7bYjLqmpPSKj+wKEamV2YYS699FKnTRBiIP2T3+S0J+vwDrUhK/OX+rc/7uTWx+an1PZhbWLXLHK5XPRRbel5RMuQ7akMLuaK32bvQ9PGJabtYZ6MwAhnVe8p3F6Xy4YYMDVzTNdWIbsMTxbA/gP2RJZhViLPxahOX+2xDnnGI5p3x+p8O22OOPcYW9e1w/8G8udiiizTszo6/PMV9hhtrUpg49GbQ7F/ufZUHh09iB17rGeZmgkPFx7evinuAkl8FwRBgBwXWXdfdRJ3/e5EWpQ2SNlzFc65AyKTya2wUxXejN217MztmgVUuCgwButwYWE1yPl88OPG2DP0zB6xe646KdSmAlfQlt0V9tbKMwbghBLfA/lK4YLQ7iy5aEdZea3stBlecywW5w/qFnXf7cP7URYQ77HCfObbtsrzMjCK4MYj0WKzxmfviLJmlvtP6NEm+PpQtTfYxx1aNaZZkxLcLsnJEgRBgBwXWaWNijmtdxngr/KeTuwWIk10erzdw6N5WCJysgKSInzMjuaxsiuOIPIZFBcVBAfgnXsPxg2p+ny1gieeB238iFP5v2tPBeCCX3bj7NOP4NendQk5xn640N6zA3sz7+wIaePufj+sV9xjIXZY1q4X6IYLQte1HHPNyZbHhS8oHQ+j3y+OUq1//MhT+ddffwP4c/wMYV5YWOtVlXBh5hg/fjzjx4932gwhCtI/+U1OiywzycwGTAeGyCptVMTQE+MnZtsWb1EERUS4MIonK9n1BUNmioW1WVTgRq/fGXwfTwt4fb5gODP82IuH9uC03h2C73t3b83xPdoC/jX8rj2/d8gMPLCXpB4Lqxl18XRby6YldbImZSyVFSJQYhwX3ucnHd2e048rizjObukLA+N2o30GXS4XDUsKGXD8YYy95pTg8zHEqCS+C4Ig+Kk3IqvYxpR0uxwZJUxihTHAnHlqF0acFz93J1UPWfh2QwiFa8xKiwT8/3f96XGva26mQUmoyHG7XRzXvTZUNPYPp8QMf3q9PsvE9zcfOocrzjwqpBxFtPv9v2tP5YpfH0Xblo04XrWxPCacaJ6bxhYLMMfrjwsH97CdCxaXEO1kL1wYTogtFk1cODjS+5SoJ8vODxaXy8Vtw/txbLfWwWdo/l/ChZlj7NixjB071mkzhChI/+Q39UZk2an7Y5e/39jf9rHGgFjgdlNSbD1Zs6Np4d9w7xDALZf24eGbB4ZssxuGLG3sLx5qDNqtmvlFz/9a5AaZ10CMSph9r/19WMj7046t9ZT069mOKWOjF+D0en1Br4hZOPiT8F0hzyLawH58j7b8dqjiuXvOiFkoNfy6VjQorhV1px7r96KVFBVy+xX9uH14P8tzjunayl640Iam6GWaSBBLx8QKrZq9e1ZlGMKb9Xh9EYVpzfRRbfnn+DOjH2ADox+Nz2yBIaxFaAmCkOfUG5EVXqQzFUoSaMvwEhSaksLDedxUU8sqBNO7W2u6dWoess1u+NPwJBk6wOfzMWviuVxtkRtk5xmF30J4HlMji/UDS4oLLAuFen21niwr4ZDsci/xCK+vZWD2Wpkfb/8TDrP0yM34v19zRFkzWwVLrTyH4ZivEat/DS9QryNbRey79YraddAOVUUWIg1v97zb3uSl976Leq2mTYpp1sSfQH9Ym+QW4A6KK8OTVZB42Q5BEIT6SL0RWUNP6syvTj6cDjGWwbFTpTxRjHwXQzxZ5cQUuF1cfuZRQG0xSXN4084v/uZNrGeSGTPfasVM9Dbsro8XC0OoGR4zgFfvPztESBqYPVlWA24yuU4TrjuN354Ru7BfmxaNLLdbeRF9gRieleZpFAgv2rEzvH5VPOx4ss44qXOEZ8ocrj1ko1ZZNEZf7hdr5iWWHrxxgGU/xsO4F+NvwHjOEjLMDDNmzGDGjBlOmyFEQfonv6k3IqtBcSF/vvj44Lp3Bh1a14ou86BkJz8pGlf+pmfwdUSZgcAAYxZ0LpcrGOapCXi+zAs92/nF//itv+TRUYMithvXCc7ii9GGnZCqIdbMwqJxmPdqwnWnMfGmARHnTrj2NAb368RZpx8BwC+OP4wWAe9NuxaNOL13WYhYtBI98TiuexuuOLNn1P1X/qZnSL0xM8ZzbtKwiOJC/+ckeL8WtrjDPDSxOOWYDnGPMROrRePj4HK5QvrzjQfPCRHKBy08WXY5vnsbSooLONe07mVpo2LbSxeZMZ6TkS9mPC8JF2aGVatWsWqVvQXbhcwj/ZPf5HTFdyuqqmtDRcd0bUWjkiI2ba8EYOuuA8F9qUxGvGhIrSfF8HYY1bGNAefCwd15eMbS4HFGCKs6YF9poyJ27vUXe2zaOH6uUfPSEpqXRnqzgh4xGyrLnsjy/3+sKX/o2XvO4JBpjTyzN8XMcT3acFyghtJ15/cObh/7h1M4oUebiFCpMRiHFz1NhVjek9bNG3Li0e347dAetG/VmOalJZxiLNQc9nkoKTYn5cd+bv954OyEvYQxw8GBXeEetPD3qeQhNi8t4dX7z076fDPGMzeegVEWQ0RWZrjkkkucNkGIgfRPflP/RFZNrRgoKnAHRcPpvctYsHxjcJ/VIDe4XyeuN4kDOxhJ7UZStjv4Kz40L8gollodsK9D68bsraziyt8cHRRqAE/fMZift1bYvr5xH4anrM9RbaMeW1RYKxwOa9OEwgIX6zbvCzmmQXEhD97Yn84mT1yTRsXErn8fm2hLvxjPqmeXlpb7kyHWgsmFBW7uu+aU4PtrzqmdDeoLS+O64YLaz0G8nCzzc42G6twi5H1t6Y3IY68e1ouSogJO792BRSs2ATDkxNoFwK/8TU/WbdrHmad2iTg3kTUiE2HWxHP54ec9lnlgu/b6Q6VG4VRDk0q4MDMopZw2QYiB9E9+U+9ElnkGWWGhOziQtwirjm01uHXr2DyibEE8fnFcGYUFJ3HS0X4hYXhnwnOvjdytvj3bMX/Zz1xyhqJrx9Bkd4CObUvp2Dbx3LGGJYU8d+8ZMSuEmz0fz9w5hLWb9gbXqzNz1OHpEz0xCfRB+KLHqWCEKhMlMlm+9gOSaIL+8F/35Nsfd7Dku60A/P7soy0FEViL/RalDfjTRceHbOujasWz2ZOaDN062i9RYubIw6zPa9O8IQAnBEpsyOxCQRAEP/UmJ8vg2v+t9UCYRUX4jEGrOkXJ/PJ2uVycemyH2qRfw5MV5lEwZiG2adGQf/31LEuBlSgXhVXkbtuiUcwQUniukkP1W4N4AsKzKE0zQy8/8yhaNWuY1LnhIsusq4xwocsFbVvUtj/0xM7cfdWJEW1dPLRHiJesZ5dWId5Kf/uB+mZx7KqLIrsP3hiZT5cKfY5qyz/uGsKAEzoC4A78LcjswsywZMkSlixZ4rQZQhSkf/KbeieyjuveJjj7rKigICgkSooKuOXSE4LHWYWAov3yvuqso+nWqTk3X3JChIchHHeUpF9jvCkqSF+piSt/c3TC5zx880D+fPHxITY5hZHH1qRhZJHQZAjv0UT0SYQny3Sy8Vlxu1xMvmtocPtNl5zAqcdGziaF0Pwpy3BjjHBhXXLDBb3TMss0nLLWkbXgPAlWmheSY/bs2cyePdtpM4QoSP/kN/UuXAi1noeCAhfGhMKS4gIG9+vMlLe+ZefeQ5Yen2iVsS8Y3J0LLCppW147SqjkwsHdqTxQzW9O72LzLuqGbp2aB2typXtR7UTZH1j6p0mj9IiscFwuFz6fj4k3DYgZRoVIkWXWPsH6T26X7fUTzbMVrUpAGB6qTC8Hlej1Jt81NJhHaBfjEYknKzP06dPHaROEGEj/5DcpiSyl1MnAA1rrQWHbhwH3ATXA81rr8lSukyhG4q05l8ao72TkRlmJrHTkkEQLFzZuWMQNFx5ndYpjOJ2YbCTrWy13E4/yu4ey/2ANN02aE/WY0Zf14V8frqJ7p+ZxxUVNTeizMB9uVdYiHiGeLIvzjAR1uy3a1SvmkiVWJCqy4rVnRTRvrlA3DBs2LP5BgmNI/+Q3SYsspdTtwHCgMmx7EfAwcGJg3wKl1Cyt9eZUDE0Et8WgaORkGd4bqxlhiS6ka0W/nu14c/4P9OzSknMGHBks2ZBOnr5jcFoq3KdzKaJkuGBwN0obFaEObxH/4DDat2ocdxAfcELHYJ5QPMInRpjrmBUXFVDgdoXkWcXDricrXg5Zon6u8NyvSLsSbDAJjBIOia6ZKAiCUN9IxZO1BjgfmBa2vSewWmu9C0Ap9QnQH3glhWslhBEuDBFZgVmHNd5aT9aDf+7PW5/+SFW1h0+Xb0rLoHCCasvrfx9GQYGbHp0TFw92SGb2oRVHlDWjsMCVFnGZ7PWvTbBkhplkKsZH45iurfn7n/pzxGFNWbRiMyf0qK0FVuB28fqD5wTfl989NG5eU+OGtX9aVp4sf45gH47t2jpmO+numUyEJ2V2YWbZt89fhqW0NP0rWgipI/2T3yTtytBa/xuwWrCtKbDH9H4fkNyc8SQxxFLD4sLgF72RS+MxhQuP6tKS0Zf1pVtgpl+6BgW7eTvZwMA+tZ6eYoc9WymTon7oeURLGhQXMrBPx5hipH2rxrRuHtsDZfYoRRODg/t1ok2LeO34xZqtxb0DxFpaysZa1ylTGzKv+2sJMGnSJCZNmuS0GUIUpH/ym7pIfN8LmCV7KbC7Dq4TF6/PFwyrGQOPIcDMobKCYHgj/0YFcymLM04+3EFL6h/Nm5Swu+JQ3Irxsbh6WC/atWzEyb3sL9vz2OhBVNV4ufy+dyL2ZcKTdfQRLRncrxNlSeRzCYnTpEkqpYKFukb6J7+pC5G1EuiulGoJVAADgIfq4DpRMaqwt2nekAt+2Z1+PdsFCykGSymYcrKMKfb5GN4wxtzfn3005w7s5qwxKRJtzUKnMELUqXyuGjUoSrj4aIOSQhqUwJO3/ZLbHp8fnMUJya0XmSgtmjbglktlRlWmGD16tNMmCDGQ/slv0jYqKaUuA5porScrpUYB7+EPRz6vtf45XdexwynHdPCvl6faUuB2Mbhf7ZIkvzvraKa89W1Inkywrk8eiqyyNn5BaiR35xpP3T6YhiWFfPLVz/zmtOSqvdcVXTo0ZcvO/Y4Vfe3cvinNGpcERdZvTuvCab2t63oJgiAI6SclkaW1XgucEnj9kmn7LGBWSpalgMvlirpe3oWDu3NhWM0rYykep2fbOcF5A7tSWOBmyImdnTYlKToF1lg8Lwu9cKMu68NX32+nfYwcqbrGnA92/QXZVUJEEAShvpNd8RWHE3PQIwAAIABJREFU+GW/TmzddYD/HdTVaVMyTmGBm/MG5t99Z4JGDYo49Vj7uVR1QbzFrYXcZ/LkyQCMHDnSYUsEK6R/8hsRWfiFxuVnHuW0GYKQdgozMZ0wRwjU8Hse6AKUABOAb4EX8VfLWAH8UWvtVUqNAK7FX1B5gtY6a9dF2bRpk9MmCDGQ/slvRGQJQj3GLZ4sM1cAO7TWw5VSrYAvgWXAvVrrOUqpZ4BzlVKfATcC/YAGwCdKqQ+01occszwGI0aMcNoEIQbSP/mNiCxBqMcU5uBkhjrkFeBV0/saoC8wN/D+HeBXgAdYEBBVh5RSq4HewOIM2mqbsjKZzJDNSP/kNyKyBKEek+kFqLMZrXUFgFKqFL/Yuhd4SGttTCs2Cic7XlBZEIT6gSRsCEI9xmd3Zek8QSnVCfgYmBaYEW1eS8sonJw1BZXtMGfOHObMmeO0GUIUpH/yGxFZglCPMTSWRA1BKdUOeB+4Q2v9fGDzl0qpQYHXvwbmA58D/ZVSDZRSzfCvx7oi0/baZe7cucydOzf+gYIjSP/kNxIuFIR6jCegsiZcd7rDlmQFdwMtgDFKqTGBbTcBjymlivGvVvGq1tqjlHoMv+ByA/dorQ86YrENBg4c6LQJQgykf/IbEVmCUI85vH0pq3/aTatmDZw2xXG01jfhF1XhRIyCWutyoLzOjUoDgwYNctoEIQbSP/mNiCxBqMdcf8FxDOnXObh8kiAIgpA5JCdLEOoxJUUFHNuttdNmCHXIxo0b2bhxo9NmCFGQ/slvRGQJgiDkMOXl5ZSX50RkMy+R/slvJFwoCIKQw3To4Oz6mEJspH/yGxFZgiAIOYwsPJzdSP/kN9kmsgoANm/e7LQdgiBkCNPfe4GTdgiCIKSbbBNZHQAuv/xyp+0QBCHzdADWOG2EIAhCusg2kbUY6A9swr9IqyAI9Z8C/AIrqQWYlVLPAB8Br2utq9NpWC4wceJEAEaPHu2wJYIV0j/5TVaJrMCq9584bYcgCBknFQ/W9cAQ4D9KqbXAo1rr1ekwKheoqKhw2gQhBtI/+U1WiSxBEIQkuAU4FngLmA08AZznqEUZZNSoUU6bIMRA+ie/EZElCEKu8zHwPNAa2Af8zllzMktpaanTJggxkP7Jb6QYqSAIuc7tQDHgA57UWu9x2B5BEARARJYgCLnPTq31VuBH4KDTxmSaWbNmMWvWLKfNEKIg/ZPfiMgSBCHX+adS6mmgHJjitDGZZunSpSxdutRpM4QoSP/kN5KTJQhCrlMIbMT/o/GXwHxnzcksZ599ttMmCDGQ/slvRGQJgpDr/A64H6hx2hAn6Nu3r9MmCDGQ/slvclJkKaXcwFPAccAh4A/ZVhdHKVWEf8ZTF6AEmAB8C7yIP0F3BfBHrbVXKTUCuBb/IDFBaz3bCZvNKKXaAkuAM/Db9SJZbrdS6i7gHPxJ0E8Bc8lyuwOfkyn4PyceYAQ58LyVUicDD2itBymlutm1VynVEPgn0JbATECt9bYUzakBugP7A+/XpdieIAhCWsjVnKzzgAZa61OBO4GJDttjxRXADq11f+DX+Gv3TALuDWxzAecqpdoDNwKnA/8D3K+UKnHIZiA48P8DOBDYlPV2K6UGAacF7BkIdCIH7AZ+AxRqrU8D/gL8lSy3Wyl1O/As0CCwKRF7rwe+Dhw7Fbg3DSZ9hl+0dQn8yyu01mitnTZDiIL0T36TqyLrF8C7AFrrhUA/Z82x5BVgjOl9DdAXv3cF4B1gKHASsEBrfSgw9Xw10DuThlrwEPAM/jwXyA27/wf4GngNmIW/KGUu2L0KKAx4Z5sC1WS/3WuA803vE7E3+LdrOjZVqoDj8c8s3JGG9nKKmTNnMnPmTKfNEKIg/ZPf5KrIagqYa+F4lFJZFfrUWldorfcppUqBV/H/YndprX2BQ/YBzYi8F2O7IyilrgK2aa3fM23OervxF6LsB1wEXAdMB9w5YHcFfu/Ld/hnxz1Glj9vrfW/8YtBg0TsNW9P1z2chl9gvQpckob2cooePXrQo0cPp80QoiD9k99klTBJgL2AuYyuW2uddUmvSqlO+D0rT2mtX1JK/d20uxTYTeS9GNud4mrAp5Qait87MBV/KMYgW+3eAXynta4CtFLqIP6QoUG22n0L8J7W+q7A5+W/+HPKDLLVbjNe0+t49pq3p+seioB2+GcWOhpqd4JLL73UaROEGEj/5De56slagD+XBaXUKfjDRFmFUqod8D5wh9b6+cDmLwO5Q+DP05oPfA70V0o1UEo1A3riTx52BK31AK31QK31IGAZcCXwTrbbjX9h8TOVUi6lVBnQGPgoB+zeRa1nZyd+wZD1n5MwErE3+LdrOjZV7gaWBq5xQxraEwRBSAu56sl6DThDKfUp/kTb3ztsjxV3Ay2AMUopIzfrJuAxpVQxsBJ4VWvtUUo9hn+wcQP3aK2zrWr1aKA8m+0OzFwbgH9wdwN/xF8BPKvtBh4GnldKzcfvwbob+ILst9uM7c9HoGjoFKXUJ/hzqS5Lw/WNiS+l+HPBrkxDm4IgCCnj8vl88Y8SBEHIAZRSj2itb3bw+l2AHz/66CM6duyYkWuOHz8egLFjx2bkegbDRr+R1vZmTzoPgLNHvZ7Wds3MmnhunbUdDaf6R8gMGzZsYMiQIQBHaK3Xhu/PVU+WIAgCAEqpsfhrdBWRhyUcBEHIXkRkCYKQ67yIX2R5qC07kjeIhyS7kf7Jb0RkCYKQ60wGtuEXWUcqpb7XWl/tsE2OU1XtobiooE7a3rU3W9IBBSG7EZElCEKus1RrfReAUuohrfWtThuUDRQXFaQ9b0oQhMQQkSUIQq5TpJS6CSggd8vSJM2MGTMAqceUrUj/5DcisgRByHVuA/rjX6lgpdPGZJpVq1Y5bYIQA+mf/EZEliAIuc6jQEvgZaXUDVrrPzttUCa55JK8W0kop5D+yW9EZAmCkOvUAOu11m8qpX7ttDGZRinltAlCDKR/8pu8y18QBKHesQkYopSain+ZIkEQhKxAPFmCIOQ624Ah+BeK3+u0MZlmyZIlAPTt29dhSwQrpH/yGxFZgiDkOr/Fv27hHqUUWuupThuUSWbPng3IIJ6tSP/kN1klspRSJcCJ+N3/HofNEQQhMxQAHYDFWutDiZyolJoM/A3oCGyoA9uynj59+jhtghAD6Z/8JqtEFn6BNd9pIwRBcIT+wCcJntNAaz1XKfV8vlZ5HzZsmNMmCDGQ/slvsk1kbQKYPn067du3d9oWQRAywObNm7n88ssh8PefIO2VUgOADoH/0VrPS6d9giAIyZJtIssD0L59ezp27Oi0LYIgZJZkUgSmA0cAMwP/+4C8Eln79u0DoLS01GFLBCukf/KbbBNZgiAIttFaT0nkeKXUycADWutBSqk+wCzg+8Dup7XW/1JKjQCuxV9/a4LWenZajU4zkyZNAmDs2LEOWyJYIf2T34jIEgQhL1BK3Q4MByoDm/oAk7TWE03HtAduBPoBDYBPlFIfJJqQn0maNGnitAlCDKR/8hsRWYIg5AtrgPOBaYH3fQGllDoXvzfrZuAkYEFAVB1SSq0GegOLHbDXFqNHj3baBCEG0j/5jVR8FwQhL9Ba/xuoNm36HLhNaz0A+AEYCzQF9piO2Qc0y5iRgiDUK0RkCYKQr7ymtV5ivAZOAPbiL2xqUArszrRhgiDUD0RkCYKQr7ynlDop8HoIsAS/d6u/UqqBUqoZ0BNY4ZSBdpg8eTKTJ0922gwhCtI/+Y2tnCzzjJyw7cOA+/DPwnlea12ulHIDTwHHAYeAP2itV6fVakEQhNS5HnhCKVUFbAZGaq33KqUew18U2Q3co7U+6KSR8di0KZnyYkKmkP7Jb+KKLIsZOcb2IuBh/FXaK4EFSqlZwGn4qzCfqpQ6BZgInJtuwwVBEBJFa70WOCXwein+76vwY8qB8sxaljwjRoxw2gQhBtI/+Y2dcKExIyecnsBqrfUurXUV/uUw+gO/AN4F0FovxD8VWhAEQagDysrKKCsrc9oMIQrSP/lNXJFlMSPHINosnPDtHqWUlIoQBEEQHGXX3rqN/FZVJ7NogVCfSUX8RJuFE77drbWuSeE6giAIQhTmzJkDwKBBgxy1Ixe4cvx7ddr+rImRmTHSP/lNKiJrJdBdKdUSqAAGAA/hXztsGPByICfr65StFARBECyZO3cuIIN4tiL9k98kXMJBKXWZUmqk1roaGAW8B3yGf3bhz/jrzRxUSn2KPzH+lnQaHM7w4cMtty9atIjHH3885farqqr48MMP66RtQRCEVBk4cCADBw502gwhCtI/+Y0tT1bYjJyXTNtn4V9g1XysF7gufSY6y9atW/nwww8ZOnSo06YIgiBEIB6S7Eb6J7/JqYT0bdu2MWbMGCorK2nRogWPPfZYcN9VV11FaWkpP//8M/fddx8ACxcuZMmSJRQVFfHkk0+yfPlyHn/8cQ4ePMjQoUMtp9ZqrRk3bhw1NTWMHDmSr7/+mvnz57NgwQIWLlzI4sWLad68Ob169Qo5b9KkSXz99ddUVFTw17/+lS5dunDrrbeyadMmevXqxbhx45gwYQLffvstTZs25aGHHmLChAlUVFTQs2dPPvvsM1wuF9dcc438UQqCIAhCPSCnKr5v2LCBG264gWnTpuH1etm8eXNw39atWxk/fjxPPfUUzz33HACtWrXixRdfpHPnzqxcuZKffvqJJ554gunTp0eEAA0WLlzIRRddxLRp/jVkL774Yvr3789RRx3F999/z8yZMxkwYEDIOdXV1bRv354XXniBa6+9lg8//JC5c+dy7LHH8sorr9C5c2cWL17MwYMHeemllzjrrLOYOXMmAJdddhl//OMf2bZtG5MnTxaBJQhCQmzcuJGNGzc6bYYQBemf/CanRFbr1q2ZOnUqd911F+vWraOmpnbS4mGHHUbLli1p3749FRUVAHTr1g2A5s2bc/DgQdq2bct9993HX/7yF6qqqiyvccEFF/Dtt98yYsQI9u/fH9z+888/06NHD4AIL1ZhYSGbNm3ijjvu4I033sDj8bB27Vp69uwJwNVXX822bds45phjguevX78egE6dOgXvrWHDhik/I0EQ8ovy8nLKy3OmdmreIf2T3+SUyJoyZQoXXXQREyZMoKioCJ/PF9y3efNm9u7dy+bNm2natCkALpcr5PyHH36YBx54gBtvvDFEQJmZN28eF154IVOmTGH69Om4XC58Ph+dO3fmu+++A2DVqlUh56xcuZJt27bxwAMP0K9fP3w+H4cddhhaa8AfSmzdujUrVviXQPv666+DxekMG93unOoKQRCyhA4dOtChQwenzRCiIP2T3+RUTlb//v0ZN24czZs3p0GDBuzYsSO4r6ioiNtuu42dO3cyfvx49u3bF3H+wIEDufDCC2nevDmNGzempqaGwsLQR9C9e3fuuOMOGjduzLBhw2jZsiVa6//f3v0HyVGXeRx/Z/ODCLtJSaGYHCpaJo+IBZrlEDCQPTlEqURS3l6ZBOEuSAIedZ6XtRQQTYXCsrTIgnhSuosRj/KydRcv6kYhXEWzF4KUmsSTIDxrEO7ABAoQkg0hvza5P7oHJpv50bs7s9/u6c+rKlWZ7unZz3ee2Z5nu78zzbZt2zj33HP5xCc+wamnnsqMGTNe2+Ztb3sbf/zjH1mwYAGnnHIKJ598Mp/+9Kf53Oc+xxVXXMG73/1uzj33XNavX8/ChQtpaWnhjjvu4JZbbqnfkyUiubB06dLQEaQC1SffxhUfDQrNzE4HntywYQOnnXbasLa98sorX5tHJSLZ8cwzz3DxxRcDvCP+JHNmjWYfVg/zOn4cOkJi6zrnAzB32Y8CJxm5Ul9GKo2t2v4rU0eyaq2rq4tNmzYds2z58uWvzeUSERERGamGabJGchRr6dKlOpQrIpm2cuVKADo6OgInkVJUn3xrmCZLRCSPCp+mlnRSffJNTZaISIYtW7YsdASpQPXJNzVZIiIZ1tLSEjqCVKD65Ju+nElERESkDtRkiYhkWG9vL729vaFjSBmqT76pyRIRybCtW7eydevW0DGkDNUn3zQnS0Qkw+bOnRs6glSg+uSbmiwRkQxrbW0NHUEqUH3yTacLRUREROpATZaISIa5O+4eOoaUofrkm5osEZEM6+npoaenJ3QMKUP1yTfNyRIRybCZM2eGjiAVqD75piZLRCTDFi5cGDqCVKD65JtOF4qIiIjUgZosERERkTqoerrQzJqAu4CzgQPANe6+I173FqB4Rt/7gBvc/dtmtg3YHS9/0t0X1zS5iIiwYsUKAJYvXx44iZSi+uRbkjlZ84HJ7n6+mZ0HrAQuB3D3Z4E2ADM7H/gK0G1mk+P1bXXILCIiIpJ6SZqs2cD9AO7+sJmdM/QOZjYO+CZwhbsPxvc50cweiH/GTe7+cA1zi4gIOkKSdqpPviWZkzWF10/7AQya2dDmbB7wqL/+jWv7gNuAS4HrgB+U2EZERESkYSVpfPYALUW3m9z98JD7fBL4RtHtfmCHux8F+s3sRWAa8PRowoqIiIhkRZIjWZuBywDiOVmPlLhPK/BQ0e2rieZuYWbTiY6G7RpVUhEROc7q1atZvXp16BhShuqTb0mOZK0FLjGzh4BxwGIzWwQ0u3uXmb0JGIiPWhV8F7jHzB4EjgJXlzj6JSIio9Tf3x86glSg+uRb1SbL3Y8Qzasq9njR+ueJvrqheJuDwKJaBBQRkfIWLFgQOoJUoPrkmyaji4hkmJmFjiAVqD75pm98FxEREakDHckSkdwwsw8AX3P3NjN7F3AP0bzR7cD17n7EzJYA1wKHgVvdfV2wwAls2bIFgNbW1sBJpBTVJ990JEtEcsHMPg/cDUyOF3UCN7v7hUQf6rk8vlTYZ4APEn3P31fN7IQQeZNat24d69alug/MNdUn33QkS0Ty4gng48C98e1WoC/+/33Ah4FBYLO7HwAOmNkO4Czg12OcNbFZs2aFjiAVqD75piZLRHLB3X9oZqcXLRpX9NUzA8BUjr/CRWF5as2bNy90BKlA9ck3nS4Ukbw6UvT/FuBljr/CRWG5iMiwqckSkbzaZmZt8f8/CmwCfgVcaGaTzWwqcAbRpPjUGhgYYGBgIHQMKUP1yTc1WSKSVx3ACjP7JTAJWOPuzwJ3EjVcPwe+6O77A2asqrOzk87OztAxpAzVJ980J0tEcsPdnwLOi//fD8wpcZ9uoHtsk41cc3Nz6AhSgeqTb2qyREQyrKOjI3QEqUD1yTedLhQRERGpAzVZIiIiInWgJktEJMO6urro6uoKHUPKUH3yTXOyREQybNeuXaEjSAWqT76pyRIRybAlS5aEjiAVqD75piZLRCTDpk+fHjqCVKD65JvmZImIiIjUgZosEZEM27hxIxs3bgwdQ8pQffJNTZaISIb19fXR19cXOoaUofrkm+ZkiYhk2Jw5x10ZSFJE9ck3NVkiIhnW1tYWOoJUoPrkm04XioiIiNRB1SNZZtYE3AWcDRwArnH3HUXrlwGfAp6PF10L/KHSNiIiUhs7d+4E9FUBaaX65FuSI1nzgcnufj5wA7ByyPpZwFXu3hb/8wTbVNXe3k57e/twNxMRyZXu7m66u7tDx5AyVJ98S9JkzQbuB3D3h4FzhqxvBW40swfN7MaE24iISA1MmzaNadOmhY4hZag++ZZk4vsUYHfR7UEzm+Duh+PbPcC3gD3AWjObm2AbERGpgaVLl4aOIBWoPvmWpMnaA7QU3W4qNEtmNg64w913x7d/Cry/0jYiIiIieZDkdOFm4DIAMzsPeKRo3RRgu5k1xw3Xh4AtVbYRERERaXhJjmStBS4xs4eAccBiM1sENLt7l5ndBPyC6FOEG9z9Z/EnEo/Zpk75RURybeXK6HNFHR0dgZNIKapPvlVtstz9CHDdkMWPF62/F7g3wTYiIlJje/fuDR1BKlB98k3f+C4ikmHLli0LHUEqUH3yTU2WiEiGtbS0VL+TBKP65JsuqyMiIiJSB2qyREQyrLe3l97e3tAxpAzVJ9/UZImIZNjWrVvZunVr6BhShuqTb5qTJSKSYXPnzg0dQSpQffJNTZaISIa1traGjiAVqD75ptOFIiIiInWgJktEJMPcHXcPHUPKUH3yTU2WiEiG9fT00NPTEzqGlKH65JvmZImIZNjMmTNDR5AKVJ98U5MlIpJhCxcuDB1BKlB98k2nC0VERETqIPVNVnt7O+3t7aFjiIiIiAxL6pssEREpb8WKFaxYsSJ0DClD9ck3NVkiIiIidaCJ7yIiGbZ8+fLQEaQC1SffdCRLREREpA7UZImIiIjUgU4Xikiumdk2YHd880ngK8A9wFFgO3C9ux8Jk6661atXA/o+prRSffJNTZaI5JaZTQZw97aiZT8Bbnb3jWb2beByYG2YhNX19/eHjiAVqD75piZLRPLsbOBEM3uAaH94E9AK9MXr7wM+TIqbrAULFoSOIBWoPvmmJktE8mwfcBtwNzCDqKka5+5H4/UDwNRA2RIxs9ARpALVJ9+qNllm1gTcRfQX3wHgGnffUbR+IfBZYBD4HfAP7n5k6DwHd19c6/AiIqPUD+yIm6p+M3uR6EhWQQvwcpBkIpJ5ST5dOB+Y7O7nAzcAKwsrzOwNwK3AX7n7BUR/8c0tnucQ/6tJg6VL7IhIjV1NvE8zs+nAFOABM2uL138U2BQmWjJbtmxhy5YtoWNIGapPviU5XTgbuB/A3R82s3OK1h0ALnD3fUWPt58S8xzc/eHaxRYRqYnvAveY2YNEnya8GngB6DazScBjwJqA+apat24dAK2trVXuKSGoPvmWpMmawuun/QAGzWyCux+OP9b8HICZ/SPQDPwX8F6GzHMwM3P3wzVNLyIyCu5+EFhUYtWcsc4yUrNmzQodQSpQffItSZO1h2heQkFTcbMUz9n6OjAT+Bt3P2pmpeY5TAOerl10ERGZN29e6AhSgeqTb0nmZG0GLgMws/OAR4as/w4wGZhfdNqw1DyHXbUILCIiIpIFSY5krQUuMbOHgHHAYjNbRHRq8DfAp4gmhv48/qjqNygxz0GnCkVEam9gYACAlpaWKveUEFSffKvaZMXzrq4bsvjxov+XOxpWap5DTRQ+YbhmTarno4qI1F1nZycAy5cvD5xESlF98k1fRioikmHNzc2hI0gFqk++qckSEcmwjo6O0BEk9tKe/bxxyuRjltWqPgcPDTJp4viaPJaMHTVZIiIiNXDVivV1e+zelZfX7bGlfpJ8ulBEREREhklNlohIhnV1ddHV1RU6hpRxxknOGSd56BgSiE4Xiohk2K5d+grCNDtp/KuhI0hAmW+y9HUOIpJnS5YsCR1BKvj93pmhI0hAmW+yRETybPr06aEjSAX7jpwYOoIE1FBzstrb2187siUiIiISUkM1WSIiebNx40Y2btwYOoaUMf2EXUw/QfPm8kpNlohIhvX19dHX1xc6hpQx/YTnmH7Cc6FjSCANOSdLk+FFJC/mzJkTOoJUsPPAqaEjSEAN2WSJiORFW1tb6AhSwc4D00JHkIB0ulBERESkDhq+ydInDkWkke3cuZOdO3eGjiFlnNi0jxOb9oWOIYE0fJMlItLIuru76e7uDh1DynhPcz/vae4PHUMC0ZwsEZEMmzZNc37S7JXBN4SOIAHlpsnSJw5FJG0OHhpk0sTxo3qMpUuXllz+0p79o3pcqY3HXrHQESSg3DRZIlmlPxAa16SJ45nX8ePQMUSkTnI5J0uT4RtLcT1VWxERSQsdyUpARxLK03NTP6WaRT3fMtRZzdsB+N3e9wZOIqWoPvmmJqsCHREpL6vPTSM3KY08NilvUtPh0BGkAtUn39RkDVGrN6o8vuGldcxpzVXKSLJmteGV2vifgTNDR5AKVJ98q9pkmVkTcBdwNnAAuMbddxStnwd8GTgMrHL37mrbZNnQN7QsvHHXSl6alTVr1mRqrJJvh45ODB1BKqhVfV7as583Tplck8caqhafcpXSkhzJmg9Mdvfzzew8YCVwOYCZTQRuB/4SeAXYbGa9wAXltmlE1d6Q9YadPqUaqixJ+ppS4yjSGK5asb5uj927smHfnoMbd/To0Yp3MLNO4Ffu3hPf/pO7/0X8/7OAr7v7R+LbtwMPAeeX26bKzzodePLSxV/jqaefO2bdmWeeyaOPPlp2WbX15bYpGO62SR+v3PosSvpcj/U4h5OrVjWtl9FkTbosba/DV/a8wPrvfQHgHe7+VOA4o1LYh23YsIHTTjst0Taj/QqHt09+GoD/3f/WUT1OaOs65wMwd9mPAieprSzUR03WyD3zzDNcfPHFUGb/leRI1hRgd9HtQTOb4O6HS6wbAKZW2SaRUm8E1ZYNd5viN52R/Lzh5hpJk1KrN9VavzknfR6SNqBjlasWNa3WQCfNX2w0z3Gt8terqau27A/9uuTIaLxp0otAut/E80z1ybckTdYeoKXodlNRszR0XQvwcpVtqvr8J89J/FfgaLS33wHAV791bd1/VmT2cT+7IMowm+PNju/f/tr9Sm1badlItqmeK6njt02aq/i0VrXxjaVS+YszJH9eSz9m/R3/Ohzta2Q0yz72sa+PbBgCwFOv1n9fKSOn+uRbkiZrMzAP+Pd4ftUjReseA2aY2cnAXuAi4DbgaIVtUiOPc1OyMOakGUONpfjnlsqQdNlw1ouU88KhU0JHkApUn3xL0mStBS4xs4eAccBiM1sENLt7l5ktA9YTfXv8Knf/k5kdt02d8mdW4U11rCZdV3oTL9U01DPXSH7eWD9fIiIio1W1yXL3I8B1QxY/XrS+F+hNsI2UkNYjGGOdK63Pg0jaTZ0QTX/dfXhq4CRSiuqTb/oy0gamxkWk8c048UkAfrPnfYGTSCmqT76pyZJMUeMocqyXD00JHUEqUH3yTU1WRoz1vCnJBzWt2bfj1XeGjiAVqD75piarQYzkzVJvsJIGd90kPM5xAAAF2UlEQVR1V+HL/EREGoqarAxTkyS1VIsjpI1yxLWRr78qMpSui1g/arJEpKx6NV4ZUPaarWlzzpTfAppYnVZZqI+ui1g/aWuyxgM8++yzoXOI5NbBgweB6JpcpZYV/l9QvKx4m6SKft/T9OfubOB+AHd/2MzOSbjdsPdhh/b9edjhiu1t2luTxwltwoTo7Sjr4xiqUeozUiPZJyR16PARJk5oCvrY1fZfVS8QPZbMbDawKXQOEQniQnd/MHQIADO7G/ihu98X3/4/4J3VLg+mfZhIbpXcf6XtSNavgQuBXcBg4CwiMjbGA9OIfv/TYqTXX9U+TCRfKu6/UtVkufsBIBV/yYrImHoidIAhKl2ztSztw0Ryqez+K1VNlohISuj6qyIyaqmakyUiIiLSKOozLV9EREQk59RkiYiIiNSBmiwRERGROlCTJSIiIlIHarJERERE6iA1X+GQ9QuymtlEYBVwOnACcCvwe+Ae4CiwHbje3Y8EijgsZvZmYAtwCXCY7I7jRuBjwCSi11cfGRxL/Pr6PtHraxBYQgbrYmYfAL7m7m1m9i5K5DezJcC1ROO71d3XBQucAcXP6ZDl84AvEz2Pq9y9O0C8RCqMYRnwKeD5eNG17u5jHK+sUvt9d/9J0frU1yDBGNJeg/FAN2BE+8bF7v5E0fqgNUjTkazXLsgK3EB0QdYs+STwortfCHwU+BegE7g5XjaOlF5gdqj4l+47wKvxoqyOow24APggMAd4KxkdC3AZMMHdLwBuAb5CxsZiZp8H7gYmx4uOy29mbwE+Q1SzS4GvmtkJIfJmQYnntLB8InA78GGi1/7S+LlNnXJjiM0CrnL3tvhfat7cY6X2+0CmalB2DLG012AegLt/kKiZ6iysSEMN0tRkHXNBViDpBVnT4j+ALxXdPgy0Eh05AbgP+OuxDjVCtwHfBnbGt7M6jkuJvql7LdALrCO7Y+kHJsRHfKcAh8jeWJ4APl50u1T+c4HN7n7A3XcDO4CzxjRltgx9TgvOAHa4+0vufpDoW+gvHNNkyZUbA0SvkRvN7MH4qHTalNrvF2SlBpXGACmvgbv/CFga33w78FzR6uA1SFOTNQXYXXR70MxSczqzGnff6+4DZtYCrAFuBsa5e+HbXgeAqcECJmRmfw887+7rixZnbhyxU4ia9b8FrgN+QHQNuiyOZS/R4fzHiQ6N30nG6uLuPyRqDgtK5R+6H0j9uEIq8ZwWZOZ5rDAGgB6i390PAbPNbO6YBUugzH6/IBM1qDIGSHkNANz9sJl9H/gm0RgKgtcgTU3WSC/Imhpm9lbgF8C97v5vQPH8mBbg5SDBhudqosuJbATeB/wr8Oai9VkZB8CLwHp3Pxgf4t7Psb9gWRrLPxONZSbRvMXvE80zK8jSWApK/X4M3Q9kcVxpkPnn0czGAXe4+wvxUYifAu8PHOs4Jfb7BZmpQbkxZKUGAO7+d8BMoNvMTooXB69BmpqszUTzThjOBVnTwsxOBR4AvuDuq+LF2+J5QRCd694UIttwuPtF7j4nnoD6W+Aq4L6sjSP2IPARMxtnZtOBk4ANGR3LS7z+F9mfgYlk8PU1RKn8vwIuNLPJZjaV6HD/9kD5suwxYIaZnWxmk4CLgF8GzjRcU4DtZtYcv9l/iOjDOKlRZr9fkIkaVBlDFmpwZdFpzH1Ef7wNxreD1yBNp+OyfkHWm4A3Al8ys8L57X8C7oyL+xjHHsbMkg6ivw4yNQ53X2dmFxG9cTcB1wNPksGxEE3eXGVmm4iOYN0E/IZsjqXguNeVuw+a2Z1EDVcT8EV33x8yZJaY2SKg2d274k+FrSd6Hle5+5/CpktmyBhuIjrCcgDY4O4/C5vuOKX2+93ASRmqQbUxpL0G/wl8z8z+m+iPz88CHzezVPwe6ALRIiIiInWQptOFIiIiIg1DTZaIiIhIHajJEhEREakDNVkiIiIidaAmS0RERKQO1GSJiIiI1IGaLBEREZE6UJMlIiIiUgf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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot the posteriors of parameters\n", "m.plot_posteriors()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig__. The mixing of the posterior distribution and autocorrelation looks ok." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Convergence of chains\n", "The Gelman-Rubin statistic is a test of whether the chains in the model converges. The Gelman-Ruben statistic measures the degree of variation between and within chains. Values close to 1 indicate convergence and that there is small variation between chains, i.e. that they end up as the same distribution across chains. A common heuristic is to assume convergence if all values are below 1.1. To run this you need to run multiple models, combine them and perform the Gelman-Rubin statistic:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1500 of 1500 complete in 148.3 sec" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/kabuki/analyze.py:148: FutureWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#ix-indexer-is-deprecated\n", " samples[i,:] = model.nodes_db.ix[name, 'node'].trace()\n", "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/pandas/core/indexing.py:961: FutureWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#ix-indexer-is-deprecated\n", " return getattr(section, self.name)[new_key]\n" ] }, { "data": { "text/plain": [ "{'a': 1.0032460874018214,\n", " 'a_std': 1.0009841521872085,\n", " 'a_subj.3': 1.0004396186849591,\n", " 'a_subj.4': 0.9999534502455131,\n", " 'a_subj.5': 1.003486683386713,\n", " 'a_subj.6': 1.0019388857243001,\n", " 'a_subj.8': 1.0011512646603846,\n", " 'a_subj.12': 0.999566242847165,\n", " 'a_subj.17': 0.9997315595714608,\n", " 'a_subj.18': 1.007802746170568,\n", " 'a_subj.19': 1.0006648642694451,\n", " 'a_subj.20': 0.9997046168477743,\n", " 'a_subj.22': 0.999761021617672,\n", " 'a_subj.23': 0.999981103582067,\n", " 'a_subj.24': 0.9999604239014099,\n", " 'a_subj.26': 0.9999505203703547,\n", " 'a_subj.33': 1.0000641985256977,\n", " 'a_subj.34': 1.0019030857893532,\n", " 'a_subj.35': 0.9995619813519606,\n", " 'a_subj.36': 1.0009696684307878,\n", " 'a_subj.39': 1.0030366187047326,\n", " 'a_subj.42': 1.0004536365990904,\n", " 'a_subj.50': 1.0009246525621893,\n", " 'a_subj.52': 0.9998106391663311,\n", " 'a_subj.56': 1.002833217938155,\n", " 'a_subj.59': 1.0037497197540834,\n", " 'a_subj.63': 0.9999025733097772,\n", " 'a_subj.71': 1.0009484787096814,\n", " 'a_subj.75': 1.0130098962514307,\n", " 'a_subj.80': 0.9996362431035328,\n", " 'v': 1.0205809795803613,\n", " 'v_std': 1.017843838450935,\n", " 'v_subj.3': 1.0084966266683277,\n", " 'v_subj.4': 0.9995268898509083,\n", " 'v_subj.5': 1.0055342540841103,\n", " 'v_subj.6': 1.006091261867606,\n", " 'v_subj.8': 1.0363142858648078,\n", " 'v_subj.12': 0.9999768301313733,\n", " 'v_subj.17': 1.0071442953265444,\n", " 'v_subj.18': 1.0091310053160127,\n", " 'v_subj.19': 1.025227632557955,\n", " 'v_subj.20': 1.0047516808487722,\n", " 'v_subj.22': 0.9995696752962354,\n", " 'v_subj.23': 1.0207703297420343,\n", " 'v_subj.24': 1.0003032086685848,\n", " 'v_subj.26': 1.0063047977790485,\n", " 'v_subj.33': 1.007422885046991,\n", " 'v_subj.34': 1.0000055617828756,\n", " 'v_subj.35': 1.004080679982615,\n", " 'v_subj.36': 1.025998215179402,\n", " 'v_subj.39': 1.0176678234231622,\n", " 'v_subj.42': 1.0446533107136062,\n", " 'v_subj.50': 1.0162948205722397,\n", " 'v_subj.52': 1.0329846199571966,\n", " 'v_subj.56': 1.0187113333213196,\n", " 'v_subj.59': 1.0013982327012232,\n", " 'v_subj.63': 1.0084242116205158,\n", " 'v_subj.71': 1.0034722375822482,\n", " 'v_subj.75': 1.0011359012034806,\n", " 'v_subj.80': 1.0071658884593422,\n", " 't': 1.0005057563118305,\n", " 't_std': 1.0022540551935895,\n", " 't_subj.3': 1.000335111817265,\n", " 't_subj.4': 0.9995572720794353,\n", " 't_subj.5': 1.0010911542829217,\n", " 't_subj.6': 1.0005078503952383,\n", " 't_subj.8': 1.000937902509564,\n", " 't_subj.12': 1.0002256652751758,\n", " 't_subj.17': 1.0036774720777926,\n", " 't_subj.18': 1.0057241781128603,\n", " 't_subj.19': 1.000598016225987,\n", " 't_subj.20': 1.0000045946218536,\n", " 't_subj.22': 0.99983171259197,\n", " 't_subj.23': 1.0005420765808288,\n", " 't_subj.24': 1.0016080999110242,\n", " 't_subj.26': 0.999512841375442,\n", " 't_subj.33': 0.9998364286694233,\n", " 't_subj.34': 1.0000670998014844,\n", " 't_subj.35': 0.9996132338974929,\n", " 't_subj.36': 1.0042098480709771,\n", " 't_subj.39': 1.0006515809595558,\n", " 't_subj.42': 1.000771348791104,\n", " 't_subj.50': 1.002215744431939,\n", " 't_subj.52': 1.001052279977618,\n", " 't_subj.56': 1.0017299690798878,\n", " 't_subj.59': 1.0046305114183551,\n", " 't_subj.63': 0.9995008742263429,\n", " 't_subj.71': 1.001174121937735,\n", " 't_subj.75': 1.0153800235690629,\n", " 't_subj.80': 0.9999996479882802,\n", " 'alpha': 1.0117546794208931,\n", " 'alpha_std': 1.016548833490214,\n", " 'alpha_subj.3': 1.0095453823767975,\n", " 'alpha_subj.4': 0.9999967981599148,\n", " 'alpha_subj.5': 1.0013067894285956,\n", " 'alpha_subj.6': 1.0015822997094852,\n", " 'alpha_subj.8': 1.028833703352052,\n", " 'alpha_subj.12': 0.999682056083204,\n", " 'alpha_subj.17': 1.002551456868468,\n", " 'alpha_subj.18': 1.0128686930345914,\n", " 'alpha_subj.19': 1.0216644572624185,\n", " 'alpha_subj.20': 1.003469044949529,\n", " 'alpha_subj.22': 0.9998485992621597,\n", " 'alpha_subj.23': 1.0211627966678443,\n", " 'alpha_subj.24': 1.0029351365812929,\n", " 'alpha_subj.26': 1.0082171167684313,\n", " 'alpha_subj.33': 1.0088110869085494,\n", " 'alpha_subj.34': 1.000806268244852,\n", " 'alpha_subj.35': 0.9997657478647997,\n", " 'alpha_subj.36': 1.016349397314595,\n", " 'alpha_subj.39': 1.0154377853905259,\n", " 'alpha_subj.42': 1.0380447906771046,\n", " 'alpha_subj.50': 1.014307146980194,\n", " 'alpha_subj.52': 1.0421339866800452,\n", " 'alpha_subj.56': 1.0345554568486672,\n", " 'alpha_subj.59': 1.0004809998032806,\n", " 'alpha_subj.63': 1.0167696837574038,\n", " 'alpha_subj.71': 1.0030045474552403,\n", " 'alpha_subj.75': 1.000110789496688,\n", " 'alpha_subj.80': 1.0061715847351584}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# estimate convergence\n", "from kabuki.analyze import gelman_rubin\n", "\n", "models = []\n", "for i in range(3):\n", " m = hddm.HDDMrl(data=data)\n", " m.sample(1500, burn=500, dbname=\"traces.db\", db=\"pickle\")\n", " models.append(m)\n", "\n", "gelman_rubin(models)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0446533107136062" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.max(list(gelman_rubin(models).values()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model seems to have converged, i.e. the Gelman-Rubin statistic is below 1.1 for all parameters. It is important to always run this test, especially for more complex models ([as with separate learning rates for positive and negative prediction errors](#9.-Separate-learning-rates-for-positive-and-negative-prediction-errors)). So now we can combine these three models to get a better approximation of the posterior distribution." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Combine the models we ran to test for convergence.\n", "m = kabuki.utils.concat_models(models)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Joint posterior distribution\n", "Another test of the model is to look at collinearity. If the estimation of parameters is very codependent (correlation is strong) it can indicate that their variance trades off, in particular if there is a negative correlation. The following plot shows there is generally low correlation across all combinations of parameters. It does not seem to be the case for this dataset, but common for RLDDM is a negative correlation between learning rate and the scaling factor, similar to what's usually observed between learning rate and inverse temperature for RL models that uses softmax as the choice rule (e.g. [Daw, 2011](https://www.oxfordscholarship.com/view/10.1093/acprof:oso/9780199600434.001.0001/acprof-9780199600434-chapter-001))." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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PXNrtoUg3QWQRRtExuQ1W68V+RVOQt872oqGmVHIpUUdA9CgpdEuv2X5dKQxufjIFGxBTJS/mcL9ysl2zKDMe8gk6lY0siJVBvZAKCYKiaYf6O9Yqkm06tEnR9U/OhtpSqU5A3BKfnAmYWmQGQ7GRxLsjs6gqK0DzuzdQXV6AIo9D83VFGBuwutiNhppS3eihfMEqTwGTb+EDVKOQ6cTbrZB7cYsMDM8o0jyu9RjvlphBbj1YW1GEuyOzioCIw27Djk0V0nhUX2fx5tlEC9VzucaGRDdBZAnLSbUQIsDfv3ENn6q/I0288RBTU8TXVEdjIqr7hNqT9tiRHfj6X74XU1gm4rQzsLM2PLymAA+tzpdyENNpNUikH7V39uikH3aWwfYN5Zo+wno38IO71incH7Q8kcU8f7XH8YbaUtM7L94xn2abegCwswzWFLsxPu2XopBCBNixOfoe9IS1WHgsMjnj19zCl/87l4SLFTAzH8u9uOWIwYjWi/34yr46KYXJzjJgWSCwoB/RNsLBMpKTiZxgKIKqsgLs27ZWcy6NN8+KY+/clTso9rgUO6B65GqNDaWXEKYJhQWMjM9hZHwOM3Pxo0JEemm92G+8BbjoB9vW6cXB3etiRLKYFmJGcAPRNBGfPxTT2UwPp4OBzx9SbJWrbapKCpySQ8pCSMBcIIy+oSlcvjGCps9v1Jykd26plLzECesj3uBrKwqlx0JhAQ+t9uhGC8WiR7WgPnygHrUVhTh8oB6v//fP697kG2pKUVdVjLISNw4fqMfxl/diQ61SOHjytGNUelv6LAMIgoDh8TkIkajgAR60rPe47RAvQXn0UGtr/kKHF62X+jVfR+85xMpiJvUtnvd2WIjg/LUhPPboamzfUI5jL2xHxSrPks7H5WBQUuiKEdwibdeHDedS+e/k9xKRhppSTPuC6BuaopQoAyjSTZgmEAyjo28MAPAEV47CfOcKnxEh0tbpxYe9Y9LPLGNTbAFqRV2+deRJtF7s192+ZGzAc/vrcWtoClf5EagPaagplYSDmd3P0Uk/3rlwWxH1ETv79d2dRF11CY6/vBcvHT8bEzEMBMOajUfE90aR7uxC/B7lbdy1Uoe0xjXwwLtYHU0Tx4rHbZe84uWv42AZ3Bqaiv7dl/filZPtUmHwvm1r8Vc/ajf9HuTaJhQWUFrgxMx8EI88XAQAePv8LQiR6HW2trwAPYMTmsWjIjbo5/VWlxeYPi8iPRilZIjjsKGmFKOTD8Sp085AECIIySbU4fE5DI/PweVgsb6qGIEFZVCkYlU+RibmpDlYbz4OBAWMTs7rnq/Ya0HtYa9GL4JvZH9IPIBEN0FkAdd6RhURjIgqt0Ov02TP4ITU2l2NEHlQKDkwPI1AMKzIVQ0shCXhwDI2FBc4TblEyCfkV062S9v43QMTaG7pQp5Le1oaGJ7BKz+5jMfr10g3BHIvyV7MpA6px3XrxX6pa6p6PMjHisgv2gdRXV4gPRYMC7jcPYKPb97H0a9tw7EjOxSvV1XmwdCoL+H3wtiAidno7mD3wAT+8e1ORbFm39CUlFLicrCoKvPgkzGfIkXr6V210fdxfRgOllGkoCRiFUekB3H8vvE+jylfAD2DEzFzlvhdi2PKqBAyEAzjzbO9ijHB2KILruHxOemxSCQqxOWPqclzsQonk5KCaADtlZ9clu4jV7pHsKbEreijAOh7i1N9jTkovYQgsoCtDWWQZ4sIESi2M7c2lMHliKZtxNvKlvPG+zxOnenF6KRfIbjFvyVPLTEjuEUmZ/xo64xt3vDepQFFLm1VmScmzeBy94i0fUnuJdlNvNQh9bgGYvOkReRjRSQQDOP2J8r8aa3nAtGiS7ngrirzxDig6GGzKaPU96fnpfPVeu2hUV9MTQQAyU3i+ac4xfuenPFrOl8QK0vP4AT6hqYkL/jmlq6YOWtqVj9V02VnYGcfyDT1mBAj2vJUwQig60oCROsMQrKCYMYGTM4u4Kfn+pSBG0Bx3iJ69xK5QxYFP/ShSDdBZAE7t1Tiuf31+Om5PoSFSEykQZwQxa1D6XFV1bk86uJgGd3tyGAojBsD40s+37sjszHnAgARldeJnWXQ9PmNMRFKURRRdCU30Gu8oY6GA5Ai3erxoOdHr7UVz9iix5843SGloqjdeYZGfXhUw/pSG+WLhMMRfHn/elzpHsHtT6ZMpWfJvYzl73tyxq/wDgeWX1SZq90Ck4Weo1Pb9WE0fX6jYs6K9Xd6wEJIQHGhE5Mz2sLcwTKYnQ+CUXnE64nugjwHNtSWKnY35c3KdN+PztjTKrgksW0MiW6CyBKaDm1CQ02p4Xb8R71jCIYFfNQ7hh2bH8LdkVlsqC3FfCCEnZsr0FBTKm0xhiMRTOvYqAkRwDev70Ecbxs+z2VH5637iscqV+XjN7ZWKVwkxBbe4oJBPH9RUJF7iXVYqpCL13hDfaN/Zu96Rft3EZ9fOV71rP0YG7D7sUq8ff6WYqGn5ZVcWuiS7AwZG+B2sgBsmA+EFFJKXbsmRIBbQ1O4OzJrSnADwMzcAl46flb6/MT3/dLxs4rjlttoJJe7BSYDefqIeszI57NrPaP4sGdEMU+uKnJBECKYXIx+RwBdwV2xKh8lhS7TLjtAtJh9YHhaauRkZxkIgiClCO7aUoGLH3tjxmSMr7bsmqMFWmKQ6M5iZuYWMC+70Zh1pSCsi1qAyIsMWy/2I7h49w+GBUVqx+ED9Wg6tAknTndIW4yCWTUgw2YDivKdGJ3QjpCXlbgRFiKaN4r11fpRQ/F9aRVNUnQl81ELuY6+MckrOx5mu9c1t3Th3JU7GJ8OICxEMHx/TvKeB2IL2/QKE5/gyhXNQES0IoGz80F884XteON9Hn1DU5hbzJMtKXDChui2vdZVJIqxRObk8ekAxqcDMUI4UY/keORyt8BkIE8fCQsR1FUVIxgWFKJUnLO+/H//q+K5074FlBa6TL3O8PgcRib087a1kKcA1lUV46HV+dJ9QBzfT3DlAACXk9W0aZXPwT2DE4rr+mr3CJ5/iqP52AAS3VnMvD+Eq/yDbSSuNr53JpE9qIsM1xo4HLRdH0ZDTSl+efWO9JidZRCJRBJqzBCJwLDJiNPB6kbA747M4u7IbMx5GUU1CWugFnJi0awZMWdGVKp9toGooP3h252L/vNrcOzIDinC6HHb8dNzfZqvd3D3OgDAOxduxz237oEJnLtyR1rMikxq5OnKG0WFhQhcTlbyX04U+XWR7EYjyRbxuYbc0cnlYKUeA1rUVZcoAhB11SVorFsTM5b1WE7PnJHJuZhxKwpwl4PVzMtW31PUkfy+oSn81Y/asaexMqYImYiSdtHNcdweAH8HwAngPoCv8zw/oDrGCeCHALYDmAfwuzzPd6f7XAnCyqgLdkoKXdEimsWtcPmEXV1eEGOHFgoL2FBbiptDUwgaVNUD0S35gnzjTnwADFNOxJu71g2ftjCtjVrIAeYjqGZEpVZBMGMDvIsODhc6vDj66nk8Wl0St8vfP5z6EE/vqo1pkGNnbQiFtRuZqD29tVA/s+36MB5atHuTd7p02hmsryrGfCCEPJddc1dILYST2Wgkl7sFLpe2Tq/C0cmTZzfMtz/+8l4cffW8ZJnaWLcGbdeHsaG2FJ+MzcIGGwLBEPw6zXAYBhCW1icHs/NBzAe0UwQDwTDeeJ/H93/WgWKPS4peq+8pDrv2btGFDq/pRXWusRKR7n8G8CWe5zs4jvs6gFcBPKM65mUAPp7nN3IctxfAjwHsSu9pEoS1UW+nH9y9Dgd3r1NsDYo31v+4NqT5N8zmC9psUFTZJ0KRx4GDu9YptzBlN3zKMbU+oh+7fDyZiaDKt7LV37l8IaYW9XVVxbg7Ogu/zNO4e2AC3QMTaL3Yj4I8h5TXqmbKt4BTZ3pRpyqS1BLcIjeHJuO+FzWhcESxCHXaGSyEBCyEBHQPTEgpX+L7zHPZpdqLVI//XO0WuFzUqSVqR6fWS/0xixkxzUprt0aLIo8Dc/MhhISIpuB2O1lEEInbtVIQlCmEVWUejE36pVx00ZJydNIvRa/3bVuL1ov9CAsRsEy0dbzagUrkvUsDNIY0SKvo5jjOBeBPeZ7vWHyoA8Afahz6BQDfBgCe589zHFfGcVwNz/ODaTpVgrA0olh5Zu96qQmIPAda/L84Kf7s37W32s0SFpT5gnbGpmjwYIQYHdcTWJRjmh0cf3lvQjsWRh7s6oWYOtL8xIZyzC+ENHdWwkJESoEyauz0ydis6fQPeaR6qQgqP7hzV+5I1y6Nd2sgD3RoMe0LYtoX1AweGHUcVf8NY+ILbi2GRn3Id7GoqyrGlC+A0Um/4vcXOrzo905LC9WwEG0df/hAPdquDyMUFhTX25RvQTPaneu7lmkV3TzPBwC8DgAcxzEA/gLAzzUOfRiAfPnkBVANgEQ3QcRB3XxBzzNVnPyqywsUvq3JwKzgFjl35Y7kFvGL9kHlYoFyTLOGRCKoWh7s4u7M5Iwygth3Vxlpbrs+bGrnxWiY+hfC2P1YJa50jygi5qmCscmzvqOLWHUHVyKz0bNyBB7sZIjIgwevnGw3IabNoZeKYoa5QBh9Q1NYVaRdzKlexLZdH8ZrR/dL7+M/f7tF8T5O/zIazBF/T7uWKRTdHMd9FdHcbTndPM9/bjFn++Ti639X4+kMlClwNgBLH0k5hNyxhNxKsg+9lufy6IHPH4rbjldr8ltJgiFBcc7iub13aQCP16/BnsZKqZIegMI6TQ21hbcG8cZydXmBFGkWG8C8c0F7K9vtZDErs7AMhQXsaXw4obGtzo8VItHonsuZuh5yVWUejE7MS2klAJDvsuPhNR5pe1/vGjY7znM9sphu9Oz0ACjSRwaHZ9Dc0hWTdiViZ2ywMTaUl+ZhIRiOiTynErONztQBkIO71ineYygckX5uOrSJdi2RQtHN8/ybAN5UP85xXAGAf0W0iPIZnue1lnd3AVQCuLn4cwWAT1J0qlmF3LGE3EqyC73tdrWA3tNYqRArWg1j/u1X8Z0Z0omW2wPwoAOlGLFXW1QBykgJtYW3BvLvqfViP1YVubBv21oAUHy/+S47Klblo7q8AJ037+v+vdn5EFYVuSSxMDTqw9DobEwxpBF6BWlL2aovKXRiakbbLlDEztiwrrIoJno4FwjhiQ3luDMyq3sNmx3nFFlcWdQ7Oy0f3JYWhxHAMIc7JEQAIQLv/Tk4WO2CxXTjcrDYvrFcCoA01JTixOkOaeEnvtefnutVeNOL4pp2LVemkPJ1AH0AXuR5Xm82awHwAoBfcRz3GQB+yucmch2t7fadWypjogd3R2YNG8a0dXoxp1O1nqkEgmE0v3sDc37lGv1f/+MWbg1N4eDudZrV9VoRQmLlURecie2miz1OxXFzgRDmAiEMj8f3I1ZH59q7hvHUznVYXexOS4qImB/OMjbdhiZyQkJEtwjt1tCU4TVsdpxTZDGzMGoopocgRBBYjjdgEvC47ch327Fv21qpuPfclTtSB2T5wq+hphRKg8wH4pqccdJfSLkVUaeSLgBXOY4DgE94nj/EcdyLAB7mef7bAP4BwPc5jrsOIACgKZ3nSRCZiF7Lc63ogdrPWpwkiz0u3RbBmYh86tZKFfAvhHG5ewQf9o7h2AvbqS28RdArOIsYxoYfYAMM22MD0eLGdy7chsvBorq8ADcX0zVSRWG+E595vArt14cxOqndHCoRjDzp5Z8fy9jQft0Lj9seI2IyJbKYqyku6vf9cJxOvZmKzx+Czx/C6V/e1EyHkS/81HacdVXFiu882c44Vhtb6S6kvAZotwHjef6E7N9+AEfSdV4EYQX0Wp7Hix7It5jTmRcIAG4ng1AoknBhpQjD2LCqyB1XxITCAq71jOLFZxupLbwFEMey2MlR5OE1BTi4aw3euzRg2GRpTYkbf/DlRvz1Ty7HNPhQEwiG4R1bmtCxMzYU5DuwEBSwEAob2gZO+RbgcdvhdCSeAy72GBEiUetNl5PFS8fPKmwCG2pKFeNa/vmJOwUAYgQOsLKRxWxIcVmKsFO/76HRWZw49jkc+U6rtCtj5J6TiYTCgma6ljzAoQ58PP8Ul7LzseLYoo6UBGEh9KJfRtEDrcYh6ULV2JwAACAASURBVCKwIJiMXWoTFiJgWZtqszIWO8tga0OZVFzmcdtxrWcUAJYsvKkgM7moP0/xv6Ovnpdu5N0DE2isW4PX//vn0fTn7+rm+u/bthY7t1Timy9sR+vFflzlRwzFy1LTqUJCRPcctPjpuT5EIomPeCECbKgtxaPVJfiwZyQm7WRgeEYSaK0X+/GVfXXRbf53byiO00ofMRNZ1BOVyYgiWj3FxUjYGc0R6vd9ocOLtk4vTv75Qel5H/aMWDLyrYZlgJ7BiQfXdJICH/HmYCuOLRLdBGFh1NXxWjdIrW6A6SIZQZyR8bm4f2fn5ofQMziBt872KsTXUospqSAzuRh9nuqueO9dGkDb9WFsXr8alzqHpUYcu7ZU4O7ILPJcdulm21BTio9v3s+YaKFel0sz9HunsbrYrSvCxD8dFiJ462wvGmpKNdNHEl0s6onKZEURMyXFZanoCTv1mFb3RNCad994n0fzuzewc3MFXny2EV/6r2+n862kjLlA1HFqaHQWJYVubG0ow4vPNgIw57il50IVbw624tgi0U0QFkXP9k9943zv0sCKnF+yMKNjegYncKlzOObYpRZTUkFmcjH6PNU3zinfAqZ8C5ITj3gT13LqqasqVuSFF+Q54A+Gku47nwrUuzf+hbBuYaUaIQIpnQp4sNhuqClNeLGoKyqTFEXMhBSX5aAn7NRjWl1U2HRoE4ZGZ6XvVN7lcWB4Bi0f3MYSNkUyGvG9ip8BAFOOW0Dsgs7MHGzFsUWimyAsyrkrd3R/J94wzbQVtiIlBU7Ftn+xx6WZr77UYkoqyEwuRp+n/MY5MeNXNNe4OzKLY0d2SD+rhWD/8LT0b5eDxTee34rv/6wj7bULSyHPxaLI4zLlzKLF5Ez0PcrTR/74b3+Z8GJRT1QmM4po5bbyesJOPqYZ24NdDvnnfuzIDinSe+7yHUWa0+wSnEzSDcvYlrR7I34GfP+4Kcct+YJOniIYz/oWsN7YItFNLIlQWMCI7GaR57ajMN9p8AwimbR1eg0bGOzcXLGiudypZiEoYENtKfruTqKuugTP7a/HX/2oXXEMywCrCl1ovdgPILHc7mTmJephtar75RDv8xRvnPIIGPBA6ImfVZ5LecuSFzaKeaWri/OWLLrj1Q4kk7lAGF/8TFVMSpQWYj63vPDuQodX0Wa7uaVLUZQKPBDmS8GKUcRUoSXs5GPa47ZLHXXVAnHnlkr0DE5YyqY13xUtCJ6ZW8CqIhdYxob7U/6E0rhu3p2MGY98/zjaOr26Czp1N2V1yk42QKKbWBKBYBgdfWPSz09w5SS604jalkmL6vKCjOg2mQrmAiFF8V3P4ERMI5SwAHjH5+Adn8Pl7hHsaaxURE3jYWTZtlysWHW/XMx8ng01pairKsaUL6DwBDazYyPmlS6HdO/2X+0eQUNN/AY+ux+Lptm0X/cqFhSKCKHGIvvuyGzcc1A/r+WD/mi++GKzk2wfl8tBPqbV7jJyrBYACYbD0iLBbHdKNTeHJmMe6xuawvHXr+Do17bh8IH6mAWdOqXE5w9JKVTZQur62xIEkTK2NpTB5WB1f3/uyh1cvjFi+u857daeCs5duYPbn0wbHiNGBtNFc0sXXjp+VvM1tbZXc5m2Ti++84OL+OufXEbf0BSmfcHFJhvZ/dn0D0+b6pjZMxg9RvxMROQpH1rpH2ZSQtTHzM4Hcfz1K2jrNJdfTsRHvUPjtDOoKvOs0NnEJ5iEmgi9vyGmmTQd2oTXju5XLOrU97Xl7NRkKhTpJggLIt/anJzxxxRgBUOCosDMYWfwaFUxegYnNLcIiwuclsiD1UMvp1tNuiyl4kWyrVh1n2zkuZvi1ryIPP9Tz33HztpQV12iO6aNYBj9tu/pxMj3W879Kb/U6GdPY6XUhlvLk/u9SwMIhgQ8vMYTI9K1EJ/X8kG/1DiLiocTQ8tpo2dwQorkqh16woKAPKcdexorTRfPZguMLdrhUoudWyqxfWO59JmoU6iyAdOie7GbZAGiaW8sgDqe53+QqhMjCMIY+dbmf/52i6IAzWFnFEUwwZB2UwMRKwvugjw7SgpdMY+7nSxYxgaf/8ENL13iNp7zQ67ny8pFil6xlhjlElNO+r3TiiZLRR4nPhmbXZJdYCYI7kQQ32MgGEZgIYzXju5X/F5uyyY6mMi38gEY1ic0HdqkcD6h4uHEUKdFyJs+DQzPwGFX9gQMC9FUi9veabgcDAJBiw1IGTYgoU6bQgR4+/wtaUEoBo7EhaQ6Jar1Ur9k0ZgNfRNMiW6O436AaPt2N4BPANQB+BUAEt0EkQEc3LVOkc+6b9tanLtyx9Ji2iyz8yFc7h6J6e62bUO5IsVmT2NlSsWtvDDSTCQ7l/Nl5SIlLER0CwVfOdmOyzdGYtrFA0vPNbU613pGo8Voi8JDHWV97NHVCgHYerEfH9+8H9dGsGdwAkUeB4o9BXj+Kc7SwiaVaIk/uZOJg2UwcE+5MxMMReCw22JSLsJCZFne7iuButg4AuDeuHbHYDtr09zNCQTD+B//fAXBkKB4/wPDM9hQq9ydmfYFFfOA1fsmmE3k/C0AjwD4GYAvAPgcgKX5HBEEkXSaDm3C4QP1qK0oxOED9Wg6tAn7tq1d6dNKK/J7F8vYEFgIK8RaSaEbQPSmeeJ0R1JzVsV0koHhGWnxo/4+iAfIczddDhbP7a/HF/Y8gtXFbsVxH/WOaQruXCYsRKRuq0BslBWA4rOVPy6mjagRx+/opB99Q1NSDjmhRFzgvHPhtiLvXUz3276hHBFEdxbVJCNPOhOIIGrZ6nY+yL0OhbUj9UbpU/6FsOaCYz4QQrFHacognwf0xrBVMJte4uV53sdxXDeAx3ie/znHca+m8sQIgkgMeeRUjLoW5Nkt4QebDORpCuL/1T6vqeo0qZVOoi4SIh6gZyF48+6kYnfmU/VrpAiXy8Eiz8Um1Jbdaqh3a7RgGZsi9WNrQxlaL/ZLnTtdTlYRsQYgRbrlaSPynRkrttNeCQybPG2pxLWeUYS6tQvYs2kuTuU1KO4Kyndu5fMAYO0CS7Oie4HjuL0AugB8nuO4c4jmdxMEAKVvN3l2p5Z4/s5GFmt1VcUYHvdlzeQvUltRiJ2bKxReuQd3r8PB3esUwu7E6Y6UdJqkwkhzqMeuui20vO5gQ22pornI1oYy/OPbnQCUN/yqMg/u3Z9T5HtnM5FIRPKe7xmcwHuXBhSLTbEIbXTSj7fO9uL4y3sVC5yewQm8euqaVAOitaVvdvxmS54tYO69xGuaJf+9nWXAMkAgKGBVkQu7H3sYH/aMmM59tjJmFo/q41cXuyWbUBH5XPHKyfasKLA0K7q/CeAPAfyfAL4FYAzA91J0ToQJZuYWML9YIJYJIlfu202e3anDyBVDFDTeMf1J/e7oDPwL1i3a0aPp8xuxc0ulpleu/AYqvymyjA03707ipeNnl13M2FBTKkXaWcZmyjUi14jn6KKOtoqOD2JzkX849SGmfLERtmwSMWaEihABLneP4Co/Evf47oEJSZyo22/LmQ+ENH2TjUjVrtFKYPa9xGvypPV7eUqKFm4nk3Vz8vqHi/HQ6nz0DE6YaqojRIAdmytjis3lP6sLLK26G2NKdPM8fwnApcUfd3EcV8zz/JTRc4jUMu8P4Sof3cYikZs76G0Dm20gkm2TOxCNdL566hpspz7E07tqDZsp7NxSiWf2rsdbZ3sRFiJSZHW5DWrkzYrEnFurCpBUES+FQW+3wOzYzkY21JZiPhDCwkIYXlW7eLORxHgNdABIQjuR8W+UamE1Enkv8Zo8qX8v/9taZNuczDI29A1NoX94BjaYH6eTM37DAEi27CaadS/hAPxXAOWIFq+C4zjwPP+lFJ4bQRAqdNvnZnEDET0YBrAzjCLSKYozI/Hg84c0bwTLiZzE23Ym4t809WwUlzO209nWPVU4WAaTAfNOLU47gwVZIZ+6gY78Oyj2OPH0rtoljftsGvNm38tS0mk8bru0C+ZysHjk4SJpsZ8N41ONGHxQF1dqubfIEVNHBoZncLV7JMZBR3d+sFiKk9n0kn8B8B+Iupdk2xghCMugN/HoNRDJZgQBWNAwXD535Y6hiJDfYOUsJ3ISb9uZMOdNrhVtNTu2SwqdCAYFhS87Vxu/xXoms5Rz/+3PPgpA+3PW+g7EzqmJplhl05g3816Wkk7T1unF2+dvSbaYz+xdL3lOy728sxUxt9vliBb3mrWwlXvMq4W3IiVN9p20XuzHqiJXTF54vBqodGNWdDt4nv9GSs+EWDLyIkay18p+tISJ/Gaa57Lj/tS8qVy6bGR8OqDwMVaj7uap1d1vKcTbdiYS8yZvbulC66V+2GBDlYnmG5Mz0XxvsSiroaZU4dOeDaij2HVVxXj+KU7R/VD8fPU+Z7XLkVGefTyyaczrvRdRtDlYJuF0GnlqiRCBtCDcuaUSze/eSPI7yDyEiHKMytPEVhW5DL32zXzGar//0Um/YrdzueM7FZgV3YMcxz3C87x2JQCxosiLGLlaKuDKVcSbaVunF83v3sjqxjhGbbzN5FQbiQWrbVdmI+o87infginhDTwoyrp335d1QYgnNz2EqrICvHdpABFE8MSGck3BbRayCjRGPQ7laSJm0mm00lbEKPfoRG60Ohken8NbZ3txc2hS8fjU7AL2NFZKQQ8guks5NulHBLHWmFro7VqK4zgTx7eh6OY47n8jmk5SAeAyx3HtAKRe05TTTRCZhXy7LZuxMwye3PKQlAeoxuO2L0k8p9ORgcS9/tbve5cGYo69pyokVEd95dy8O2nptBI9LnUOo35tieTiIheES4pUZ0lxWqpQi7ZVRS7s2Fxp+ppVp60AwPdO/lrRFMZpZ7C+qjgrxysAzM4HNd9bWIigpNCNY0d2AIjOh1e7R6RgUViIoGdwIm7w5OjXtsWk6ojjOBPHd7xI91tpOQuCIJJCvEr5bMHtYiUP579/4xpm54OK3//0XB8ikQiECBISz+lyZMgmu7WlYrT1G9EoHdLqbqcX/c5WASN33NEiXj2DGjN59rmMWrSp84VN/Q3Zrtp3fnAxpgvjQkjArSzP7dZCHsnWCxaZiUyLn6/WAj4Tx7eh6OZ5/qT4b47jVgPYCyAM4N+XahnIcdweAH8HwAngPoCv8zw/oDqmFkAngJuLD93jef7ppbweQeQSHrddKl6xswxsAII6LXqtjD8QlvyHD316IsZSTn5j0xLP8iizfHs+EUeG5USqs8lubakYbf0e3LUurk3gQkjA0KgPGyxeLJlMij2uhJ+TqFVgLpEM0SbOEx63HR/2jmkeo7djk6148uz44+efQM/gBJrfvQG7LF9eTjIi05k2vs1aBn4ZwD8B6ADAAvghx3GHeZ4/t4TX/GcAX+J5voPjuK8DeBXAM6pjtgP4F57n/2AJf58gchKxUl6IRKMIz/7moxgandVNwbAyCyEBp8704r1LA3h6Vy0OH6jHuSt3MD4diIkkqXMD1RXv4vEDwzM4fKDelCPDciPV2WS3tlSMtn6bDm1CR9+YKTF9MwejhFqwjE1q+04kj+WINvk8IeaDE4BvPoS3zvYqrm/RPtEGYE1JbHdKI5ZbMJlOhxOzhZT/D4C9PM9/DAAcxz0B4B8BPJHIi3Ec5wLwpzzPdyw+1IFop0s1TwLYwnHchwDGAfyR+NoEQURRR1rVldw+fyimi1e2MeVbwKkzvTh8oB7/9GdPo63Ti9aL/fiwdwyhsADGBnxlX51uswr1TVCMtibiSrCUSHU22a0tlXhRxOMv70VzSxfeuzSg2YlSJJhjUUIt6qqK8cSGclzrGQWAnBxPmYh6rkm0PXo2ww8qF9QR2f9FcwizVpbLKZhMt8OJWdE9Jxe9PM9f5Tgu4aHD83wAwOsAwHEcA+AvAPxc41D/4nHfB3AQwM85jtvI87z+zEsQOYRWpFUreupx22M8jm0APt1YiY9vjmHaF9R+AYtx+pd9AKLt2B9a7cGzVcXw+UOaglbdCl4uvM1uZyYjUp1NdmtLRS+KKEaeqssL8JnHq/Bhz0hWtXs3wu1kUVrgwvxCCJOz+re8qjIP7Cwjjdm3zvZCiESLUI+9sD3nx1YmoJ4nPHl2Q5u8XMLB6hdCT/uCmPaZ7xastWtmNv0v3Q4nZkX3uxzHfRPAa4jmdL8AoJPjuFIANp7nx9VP4Djuq4jmbsvp5nn+cxzHOQGcXHz976qfy/P8X8h+bOE47nsANgL4yOT5EkRW03qxPybS+uKzjTj6tW1ovdgvHdd0aFNMikmei0VVWQF6BicgMyOyNKFwBKfO9CosvfRSPtRR5qVYrlGkOnVoRZ5yidXFbthZBsWFLkPRbWcZvHZ0P9o6vfirH7VLj4fCAlov9i/LSpBIDuqeANmY6rdUykrz4HbaMe1bwOpit2EqmSiE9dJA1LtmDTWlptP/0u1wYlZ0H0M0l/t7qsebEN0NYNVP4Hn+TQBvqh/nOK4AwL8iWkT5DM/zMXd9juP+ENGc7vuLD9mQLeqAIJZJW6dXUZDjYBlFpFVMrfiwdwzHXtiOY0d2KITMXCCMU2d64ckze/lbBzFqHS/lQx5l3rmlckmihCLVqWE5bd+zAbMR/eryAgBQLLJF7o7M4nJ3tDFQpjQFyVXEeeKl42dX+lQyCnGcuxws/uDLj6FncAI///ebmtFvB8vglZPtilbxAGKEt/jzidMdptP/0u1wYuquy/O8I4mv+TqAPgAv8jyvl4z3WQB5AP6G47jPIirqu5N4DgRhWa71jCIkcyT5VP0aaUJpvdgv/S4UFvD9n0WzwrQsqXzzIal4JVuQtx3OxeLEbECv7Xu+yy5tz1N+LPBBhxfNLV2avwurOkdlQlOQXEdvXOc68p3atuvDmp9R39CUwocbMB7Tiab/pdPhJF5znD8x+j3P83+byItxHLcVUaeSLgBXOY4DgE94nj/EcdyLAB7mef7bAP4IwI85jnsBwDyA3zEQ6ASRU6gnlIO71wGIbst33rqvOHZ0ch6v/OQywjq2gdmmWViGwRP1a7C+qpiKyiyEfNu4oaYUdVXF6B+eVnhz11QUorFuDc5duYNijwsR5LZzSQTRPO7n9tfjKj+iWICsLs5TdKSdmPFLFpvEytBQU4qKVfkYHs+NTpRGuJ0MIhFbjChOZGFilAaSyel/8SLdj8n+Lb8/2xb/Swie56/pPY/n+ROyfw8B+K1E/z5B5AJaE4q6XbGcUBb6dOsRDAvovHUf13pGERYiOdt4xkqoc7j1rNU+GZuV8j5HJ/2J34CyECEC+PwhrC52K0T23ZFZ7GmsROfN+5jyLWDaF8SpM70YGp2VOgASqUUs5Juc8aNncEJ3h8YGoLTIlVMFlsFQBF/Z96husbsWLGPDri0VUtt4s01zMo14zXF+DwA4jvs0onndHgAMouke61J9cgRBaKOeUNR5sG4ni1A4khOCe1WRC775kJTD51940GRB9OKWL1Co/XpmoR67el7GNpXMzrZdGjNUlXkwOxeULBTlLkXyRffsfBBt1+/Bzio/swsdXrR1emncpxi9DotAVHDXVRVjyhdAsceF55/isHNLJb76rf8N/4Jyvs532TEXCKXrtNNGWIjgavcI/u5PflPxuFE9R1iIoKqswHDRmE6/7aVitpLqBwB+AuA5ACcA/DaAn6bqpAiCSAz1ttyXfmM9GmpKs7Zq3u1kYGdZfKp+DfZtW4vWi/3ovHVfIbhFrvaMQhBG8Iv2QTyzdz3ePn8rp9uvZxrqsatVZ5DvsuPpXbVxu1RmO483lEdzX1ULR3EMt3zQj9n5qOdAKCwgFHs56BaVWUGwWAW5P7cal4OVhHZzSxea372BH/3bdYXgZmyAzWbLSsEtMuWLjeyr5wKHnVH48Bvlcafbb3upmBXdEZ7n/5rjuDWIFjQeBnA5dadFEIQeWjdHeQV2nssuRQxefLZRek68JiOZjp21STm+/gUBhw88CgD47o/bpS6cWggyR5O268M5334901DbWtpsQESlugPBMBpqSlHkcWSNt/xS2NpQprj+5WO36dAmhVWaFnpFZVYRLFZBXncjp66qWCG49RaRDGNT1DNkI6uL8wAom7yJnWj77k6irroEjXVrFJ+RUR53uv22l4pZ0S0uPW4C2MLz/AWO47SvaoIgUobRzVH8v9bvxf9+50/fwey8NaMn6pvQe5cGMDsflPIjw0JE2rYV8ydZxgZBiCCCqODYubkCw/fncrr9eiZSUuiW/i1EEJP3GhYiaL3Yj/KSfEz7crN4sqrMg3849aG0cJZf33LhInr1f9Q7hmBYgMvB4pm96w3zZ60iWKyC2p9bKw/ZKJXC5WARCltvnt5QW4r5QMhUMWT3wAReOdmOyzdGEAiG8c6F26gq80hWgt0DE2isW4PDB+p1d2CaW7qkwurq8oK0+m0vFbOiu43juP8F4M8AvMNxXAMA640IgrA48W6ORr9v6/RaVnBr4ZsPKvJ/GRukKJLYDv6j3jGEERXfz+xdL0UDKac7s1A78mzfWI6ewUmMT/sRFiJwsIzkP6+VflJWoiwkzBaKPA6UFrqR57JrNg85d+WOZiOQP//93QnVLqS7QUguIKb9iN9DQ02p8veqz7yqzIP7U34sBMPw+a05T/cMTqDY4zR9fHvXPUX6iNqjvu36MJo+vxE+fyjm85MHoEYn/bjtncaexkrThZYrhVnR/ccAdvI838Nx3DcAfA7A76TutAiC0CLezdHo96KFXrYQUhXc7X5M2fDmWs8ogosNQsJCRLqRLbeqnXJfk488Muhx26W8ezvL4NGqIkz7FjA6OQ8gKrjV1mt6xZdW5+E1BTj+8l7dxirj04GY7rRvvM+j+d0b2Lm5QkovU6MW5OluEJIryAsq1TUkDTWlklMPy9jwe1/cjDfe52P8qK2EEAEmDLqoqgnqtIEXqS4v0P38tAqwSwrdGe/OY7Y5TgTApcV/vwPgnVSeFBFlZm4B84tCIc9tR2G++RUkkZ3Euznq/b65pQvt17OrmFKNPEUBSLxBghFy+y+jrmjE0hEXQ9/5wUVJRIbCAvq90wpRzTI2zKsKzLLVbk18n3r+xWEhgrsjs9LPLGOTRJve+NQTgulsEJJJpHIRLS+oVNeQiLamQPR7tLrgTjbFHidKCt26n5/6mmAZmyXSBbOvD3QWMe8P4SofjdQ9wZWT6CYAxO+epf69UcFOtsDYEDPhLqVBgtaWvJH9F+W+Jpe2Ti8+6h2TfrZBGcUWCymtXBCcCHmu6C1avpiuLi9A+/V7CC7agcoj/naVx7nW+DQSgrlGqgtIjRb+WxvK0HqxX4p0a7l55DKVazyGn5/4PYk53WJqYaZDotsihMICRmSTq151OkGoOXflzkqfwrLRa5giUpjv1JxwE0kl0YsAGtl/VZcXmHsDhCmu9YxKYhIA1lcV4+7IrHTTdTlYANruJRtqS+Ed82E+EMJCnG3rTMPO2oBIbMpU98CE1ElS/K+t04uLH2vvWgVU71srNzuZO0BWJ9UFpEYL/57BCUWkW91FVKt2IRvY01iJe/fn4kb1uwcmcO7KHcPAiRV3Z0h0W4RAMIyOvgcRIK621OBoIhfRi9KOqQrMVlmw+1lYiKByVT7WVxfjg4+9MZZyYkRwOehFAOUiRe2qoU5pIZaH/LNmGRumfQFs31iOkkI3tjaUoWdwQnPXxmlnMB8I4eldtWi7Pmy6lXSmIAgR7H6sEtf40Rhv5nNX7iicR671jMIohb2uqhjBsKCbLpHJLbLTTToKSPUW/mrBPx8IKZw6GmpK8dpbH2JyJnt2dVjGJuVcv3KyPaZ/hHqhcaHDi33b1mrWJli1yRmz0idAEMTyEaO071y4jeOvX0FbZ3Qye+N9PiZaYjXBLeIdn0NVWYFm+++xKb/0no1o6/TixOkOzWO3NpQtRlKVfsaiSPnCnkfw3P56zWOI5CB+1nVVxQgLEYxORnPoPW67dGMt8jjgtCtvXQshAQPDMzh1phd3RqwluIHoQu5Ch1ezGcr4dEBxXW9tKNP1pBcbr7x2dL9hBHDnlkq8+GyjpcRKKmg6tAmHD9SjtqIQhw/UpzVqqlUE33Rok/Td7dxSiQWNZl9WJhKJSHOvVsCiuCA2hVbLAEDvfmcFKNJNEBZEXfyjF6XNtjxBvdz0UFiIm5tq5CQAGEcA5dEqshxMLTu3VKL53RuKx8SooPz7Fz2BJ2cCihxvwVqZJXERUxDE6/rFZxuxa0uFIkq4p7FS2g2gMZkYK5WiEK8o/pWT7ZgLZJfoFiKQ3HWqywvgcrDSfcsGYHJ2QRHt1gtsWLkugUQ3kXTk+efkupJ8tIp/tPI02zq9KPa4NP2LSwucmJxdyKqcwckZY59mMxO1XFzrbV8u13KQiI/Wtr96O/7uyCy+8fxW3ZSTTEbeBMQscgEidywBovnBOzYrxyRZW64cZlMfjAS/vKDYyuS7WMXiQe6us6rIhVBYQHixgRnwQHAzNuCZves1Pz8r1yWQ6CaSjjz/nFxXko9e8Y88SgsAf/2TywjqNBNxOe2IIPNzBe0sg7AgxORwa3GhwysVnWmRyEQdLypOpBatKODQ6KxCiM/OB3H89SvYvrEc+S67ZmpGpvJ4Qzlm54ZMubBoRbHVixIxBUUcq/KFCFlbppdkzR2fql8Tk/NsRR5eU6BbNGmU6ihEgFtDU5qLRyvXJZDoJgiLoVf8I4/AfucHFyUXiAhi22qPTDxwwslkCvLtqFjl0ezGp4WR+0AiE7WVty+tjvwm+9rR/dLjWjmggWDYUJi4nQz8C5mXbzI540dZSd6SrQ/lixIHy0iiRhyrnTeVUVKytkwfyZo7jh3ZgVdOtsd0bbQBYBjA7bLDZ4EOw7c+mYKdZRAKC3FdqNS/v9YzgsuLDc7Ui0er7jhSISVBWAwzxT9Dqu1n9TxnlQZ+M74FNNatUTy2obYUexq1J9t4Ary0QQAAIABJREFU7gNmC8j0iiqJ1CKmTolFkc0tXdLvtjaUwcEmdsvKRMENRHdlRKGsLom0q4okL3R4NQvGxKK755/iYsaqVpEekR6SOXccO7IDp//6/8DhA/VSe/UIgLAASwhuIHqvCYUFbN9Qjl1bKmKKoOWoBXlYdfmqd3mtCEW6CcKCxCv+CWVJNZnLYY/xGb8/NY/jL+/Fd35wUYqCAFGrtGRF86y8fWll4vkmS/mejA2PVBbh9idTlllA6qE+fbVXt4gYNe0ZnFBst2uNVXmrbPm2vFVt1qxEInOH2bz7pkOb0HZ9OCOaQjnsDDx5dtgSbPk+NDIL77i5HVY7a0MoHHsdZENfBBLdBJGF7Nu21nLFZVp88TOP4Gr3iKIYNBgS8NLxs6guL5C2I1nGhuef4gAkT1jIxQsVpaUHI9/kaz2jCC2GvgQhglBYUAju0gInpueChtvXViHfZQfD2OB0MFLeq8vBYnLGj3cuRKPd8u12ra12eTOdE6c74HHb8fb5W1SnkAbMpD4k2g0zpA77ytATqamgpMCJYo8LNxNsWW9WcLscLLZvLNdMGwtkgYUiiW6CyELEyfvn/35T0Z3Pk2fHxtpV8N734d74HIo8zoz07S7yOGBb3Hh//ikO3zv5a4SFiGQrNTm7oBBnYSGCnsFoBzNxspYXlS1HMKe6VTTxACMbNbk7jcvBYufmCgyN+iQxMjsfwq4tFfh11z3LdaRU418IRRcU8w8e276xPMa1RN04R428qE9e10F1CiuPelcn3nc5pRFVLvI4cHDXOgD6dqrJZnTSr+mIJceG6L1mNoEUmA21pXi0ukR6/80tXfi3X91WFEh/1DuGtk6vpcctiW6CyGLU4sM3H8K1nlEpGpgJgntDbWlMoeS0L9rq+9SZXlSsysdX9tXB5w+h/bpXd8JvvdQvPQ+ICos33ucVFlVA4oI51a2iCSXy1Clx12Jyxq+IfK0pcePclTtw2hlJdAfDAi5+7F2xdBOnnUmK2LdBu+bi7shsXNcStRiRF/UJkQeFalSnsPLofZfvXxpAbUUhSgpdOLh7nfSdarmZTPuCGBqdxbEjO9DRN2a64DzVRADTgpuxAc/t165NUjsSBU30Y8h0qJCSILIUvaKTTNt+77trvE05PD6Hn/3yJrY2lKGhplT3OJtGr0p1cyB1frgZqChtZZB3nVOLjaFRH0Yn/TE35eUMbRuAspJYhxSz1DxUuPQXl8Ho3JXzXHa0XR/GhtpS1FYUSl07gQeRazXqor6v7KvDF/Y8QqklGYC8IF7+XQbDAvqGpnC5ewSv/OSyVDx77MgO7GmsjJnlLnR40dbpxeBwbCdWxgbd7qWZgmgNqEbv/uVxWztWnPaz5zjuNwD8PQAngNsAjvA8P6E6xgnghwC2I7rB9rs8z3en+1wJwsqoIymJ4HKweOThIvTemZAqyLX8vpOBUa6iSDAsoPViPz6+eV96bE9jJarKCqRUBEC5xSr+Xv7Y+HQg4e3JeJ3jiNQgj9IuB7PjtsjjXHIthNPOJK37664tlWi7fg+hsADGBqwudmN1cZ4iinn4QD0aakql1BG9yDUVBGc28rx78buUo+60e+zIDkW6m8gP3+7U9KkXIgAiETjsjMJ20CwuB4NAcGVStfTuXz6/8n1arTh4JZYMPwLwJZ7nuziOewXAUQD/TXXMywB8PM9v5DhuL4AfA9iV3tMkCGsjikN12sWexkrc6B/XTC0pK3Fjx+ZK3Lw7qblV+WhVMUoLXZidDya8lemyMwjoTPzx/FsZGzA5E1DclO7dn5O23OVCWC2Or3aPSCkmYSGypO3JlWoVncvImxmJPr9mEfOX1f70RszOR68Ro7FoA8BppEMthIS4ea565yinqsyzOKYfUjTEeen4WcVxWg2x9Ma0Vf2MrY66+NqoGFtcHLVe7Fek/9lZRuouLH7PTYc24fy1IQzLChPHpudhhFpwm12IxhPcNkT9wudNNKZiGRt2banA3ZFZVJcXSAtLO8vg4O51Mcc3HdoUkzLDMjbF4tKKTcxWQnRv5Hk+yHGcA0AVgA6NY74A4NsAwPP8eY7jyjiOq+F5fjCdJ0oQVkcUi80tXXjv0gAiiKCqrADHjuzAke+0xgjvfdvWAoCmoI4AUsW6y8Em3MpaL9/VYbfhm01PovViv66tlBCJ5mTLmyxo5WpriePnn+LiRgSJzEMdpe0ZnMBbZ3s1RbTHbcdCUEAwLMDlYPHM3vXw+UPwuO1480yvJDBsNuh2Nw0LEZy7ctdw8VexKh+TM8prxs7YdG3+pGNU7hKlBU48Wl2CyZmAolufeD0NDM/g8IF63Q6UWg2xiMxBXXwtF496tSXid9nW6UXrxX4AwPqqYrRe7MeHvWMIhQVJWP6XZ7ZIHYdZxoawyrnEaG4uLXDi//rq4zj++uUYUV1S4MRMAg5AEQBPcGVov34PwcWdGa2nMjbgK/vqpPfc3NKF0sIJFHtceP4pTncMq8W8y8EqjrViE7O053QvCu7HANwFsA/AGxqHPQxAnsTnBVCdhtMjiKxlyreAaV8Qp8704uir58EyNpQUOJHvsqPY48ThA/UAgNO/7Iv7twLBcEKCG9CPrDhYFj2DE/jz398Np5PVfX4wLODx+jX4wp5HsKrIpfidUdMEUbxRLqv1kDczajq0Cbsf0/7ufP4Qdmx+CHVVxSjyODA0GnX56OgbU4w7PcEtMjppHDH0js8pIowA4t5Fy0rcqCpT+gtPzC7gcveItJDUQj6mzTTEIjKH1kv9ip97BpVBjHjz1Z///m4c3L0Ob5+/hcvdI9Iuj1xYfvOF7fjCnkewtaFMIXQ9eXacOPY53QZiM4s7Ots3PhTzu2nfAgo9Ds3n6aWG9wxO4FP1a7B9Q7nu9bn7sUqF4D51phejk370DU3FfDZy1PUzc4FQTMMsqzUxS1mkm+O4rwL4O9XD3TzPf47n+Y8BPMRx3B8A+F8APq06joHyHm0DYG0PKIJYQdSTvHrL7k9+9wn0DE4sy3ZqqTnfc4EQTp3pxb/96jZqKmKL0cToicvBStX8Hrddca5mOlGS2LY+ass8OZ0370vNQ0Yn9VvDJ5tQyHjUi7tHWvmpwcVOfQ+t9sQ4tEzOBNDc0iWJFUpxsg7qom47q3S2MVOM/cb7fEyOt+jV/tLxs9i5uQIvPtuItk4vrvIjkvD2zYfwysl2lBRqFwWHwhHJglWNEAHqqkoUTcei70c/TUu0EHQ5WDz26GrNY+TXrZZVot64bjq0Ce9dGlA0BZK7R2nVLGR6T4WUiW6e598E8Kb8MY7j3BzH/TbP8z9ffOh1AP9T4+l3AVQCuLn4cwWAT1J1rgRhdeIVkxgVVYp5zp03x+K+jtvJ6LfW1lHdZvNq5wIhdA9MKLZG5akCkzN+NL97Az2DE1TcmKMYjeOIiSXfqiJXQjaZiS4kq8o8sLMM8lx23BqaQjAsoKNvDMdf3ouh0dkYFxb5QhKIRgHFGowp3wJOnemVLOG0eOVkOz7qHUN1eYHC45hYWZ7eVasICvz2Zx8FYH6+am7pUqQdAYDbyWJ1sVsaQ/I0FaeDhV/WOOZK9wi2bSjX/ftG6SPe+z64nSxY1oZQUIAAwMHaMBcwLmoOBMMxqVciOzdXSGI4z6WUnfGK29WfZYyblKqJmTyt52r3iGH6ykqQ7pzuIID/l+O4OzzPXwFwGMCvNI5rAfACgF9xHPcZAH7K57YmobCAkcXt2Dy3HYX5zhU+o+yjuaULPz3Xh7AQ0Swmaev0wucP6foIs4wNkzN+TMzELwTTFdzQ37ovKUxM6NhZBn/6eztiohdanfhIbOcW6sWW/N9aolbN556sScjPONGdG3GxKBfr3QMTOPrqeTxaXaI4tiDPgUOfXqe4VpsObcK//eq24jjREk4tHF452S693+6BCXQPTFimmCzb0QsKmJ2vtNJP/AuxKX1i1HfbBmUHx4VgGJ0ypycRo5oGEa20waDJHjfqhYLTzkTz0lXF/CUFTkwuNvuJV9yeSIBF/bn1DU3h+OtXMuqaSKvo5nk+zHHcfwLw/3EcxwIYAvBfAIDjuBcBPMzz/LcB/AOA73Mcdx1AAEBTOs+TSB6BYBgdfdEI6hNcOYnuJCO/8QKxxSR6VlRAVGw/UlmEh1bnxxUry0EuuAtMdCnbubkiJh0kWQ1qrGYvRcSiXmyJ/z5xWlmTX+RxKG70QNRSMt9lfNvTi24X5Dkkh5N4qJ/fe2cCjXVrFI/Nzgfx9vlbaKgpVVyvWtZvWqLko97YnSmrFJPlAssJCpi1e3WwDNo6vTh2ZAee/9N34FucW4WI9s5PPMFtRJHHgdJCN3ZurkBH3xh670yAZYwbQuW57JoLXIedgcvBmi5uN/tZan1umXZNpN29hOf5XwHYpvH4Cdm//QCOpPO8CMJqNLd0xYhltaWSntcxy9jwrSNPatqRpZLZ+ZBmB0oAyHfZ8cXPPKI5ueq5NySCFe2liFj0cjblFoMsY4PLwWJDbQH67k4qnEO0RK2cPBcbs5XucrA49OloYdtSvMMFQbsBiFoQaDW4UV/TIlodCq1STEYYI4/uqoXrhtpSeMd8mPYtSJHc7RvLJcENRMfMwV3rktoaXmw333Z9GNXlBbj9Cau4FrQWq3re4Pu2rUVDTSmu9YzC47ZL434587E4L2yoLcX9qXmMTwcysvuqtVv7EEQOo7UFWb+2RDFxbW0ow7sf3FbkVNdWFKLp8xsleyqHyj3BjMcxy0BqmsPYAJtN6W1sZFml5em6p7FSN28VML/FaBTJtqK9FKFEnbMJIKao6o33efQNTUkFXolaW37xM+sBPBAXgYUwJmYCuDU0hWf2rsetoSnJwk2P7RvK0Xd3UtpCjwDovHU/5poSfZhFJjVSvL6yr05znB47soNyurMYeXRXvtBsqCnFd3/cLgncQDAcs+uxqsiFpkOb4qZcyedxINoNVdAY1htqSxX9DrSi8A9rXGfFHqdikWuzAVxNqWL+TkYgRN0wSGwelYm7mtQGniAsRFunFydOd0RzPDWivd0DEwpLpZ1bKvHc/nqpFbDLwSoE9/HXr6BvaAosY0NZiRuHD9Tjuf1RazKjVKA81wNbKSECCCp1PjKhbb0mNrlRc+9+rDe3mqZDm/Da0f2GgltsG3789StS+2QRK9pLZQvNLV146fhZxdhMlLZOL1o+6Fc+plp47txSiaBKDA+bGFsiq4pcuNo9gnNX7mDn5grs27YWH/WO4eZiW+63zvXh4O51OPbCdtRVFSueK7/GDu5eh5e++rg03oBoTq56Eft4/RqFINByZ1F34BNpbunC3ZFZHPr0Ohx/ea9krUhkH/K571rPqGIcsYwNn6pXpi7t27YWbZ1eXL4RdSFhbFHhXORxwLZorOJysNilGi9qwV2Q58DhA/W4/cl0TL62Gq2FbQRRAVy0aEMYiSjvUVqBkHhozSVa6Yeiy1XzuzeWNe8kG4p0E4RF0EqPOHygHqd/2afYPlfnOzcd2qS56pdPeGEhgpm5IP7j2hDGpvwIhgXo2LICAIoLnAgshCWBY3ZbUYhAYf8kMnBvRioWW6rlU7xINrXEXhmMotNm0atN0Fp4qlORzDb6AKL1B2INwqkzvairKlaIeEGI4Hsn21FWko/q8gJUlXlwb3wOddUleG5/vdTUBHgw3v7+jWuaueAuBwuXk5Xs35oObYo5dxuA9uteeNx2xWeWjM+UsCYet13qmipvOqOeN0+c7pCuFyES9dMWLwUbgGf2rjf0Cweigv5q98iSUqoAYHh8DkOjszFivvVSv7ST5GAZBMMCHKpdH61dS71xr5V+mIprJBk1QSS6CcIiaInKF59tBIC4ntVaPtXyHFggGomTd4M0kip2lsGn6tfE+LkulWBIkHIT5ZZYFzo+weMN5aYmOfn70Ytkk193+klGEaxWbcKexkrNv9N0aBPebxuQUju08OTZsaY4T7fQS2TKF4jJVQ0LUTEhb5LTPTCBc1fu4OOb9xEIhvHxzfvSVnl1eW9MTm60G6Vf0/4NiHoXB0MCJmcXMDrpl65veZqVHLGhFQnv7EIt8to6vXj7/C1JcD+3/0GjJHWxoXw+VKc1RRDdQVHb94mITldTvgXNIEkiaKW3TPuCmPYFMTA8IzXdkV9jevU3enOJVvqhulZpqcX38c4pUSi9hCAsgl56xFK71e3cUontG8sNI9q6z91cAZdB98ilEAiG0d51T/HY0KhPN10k5pwysPNkMtIqrE6Mr+4SimC3NpRJ6RsiH/WOobmlK+Yzbm7pUghulrHBZVfe6vJddrx2dD+Ov7xX2vrWYt+2tfjqYqfWeLRdH45ZFLd1etF7Z1Jx3KPVJXjx2caYVBJRUDQd2oR/+rOnUVyg33VV/RmGwhGcOtOb0+PMqshTBoHo+P3at9/Ff/pv7+B7J3+tmP/ki08hop96BCjnw+f21ytqd+wsg8kZv66zSOUaz5LeizvOPaEgz4FijzJtUVwMhMKClF6il3ZiNJeo0w+TMe/IWUoqjBYU6c4wZuYWML94IS11S4fITozSI5ZiT6XlfqKHy8Fi+8Zy3B2Z1Y0kJIqdZVBbUYjbn0xJE69eWorZwsdMimSnIwXAChaIyWhktHNLJb6yrw5vne2VxsrsfFCxwyN+xupo2KoiF/ZtW6s4VuwSCSCuy4N4vvGcIOQpXuKi+FrPqCK9hbFBWizHc+Qx+r14TvFSy4jMRh09le/0yQkEw2i92I+Du9cpdvM8bjtOnO7Qb4ommw8bakql9KeDu9eh+d0bmue0Y9NDqCorMGVZKCJG3QH964RlbPjG81t1Ox/LA0l6u5aJzCXJbqBmZifVDCS6M4x5fwhX+eiWPVdbusJnQ2QayRSVanFiswGPPlyMKV8Ao5MPXBQK8hz4xvNbY143npesOBG3XR9WHFfkcaBhbanUie/rf/me4vVcdgYBlfi2YuFjsrzFdf++hSwQk9HISKxN0MuRBh7cYOXjbd+2tYY3YCOXB/n2dUNNqeSMYoTcHQiAwsZQ7kQSTxSY/X281DIic1FHT7W810U+7B3Dwd3rpMCLx22XLCx/0T4ode41I8CBaI63/Dpx2G3YsalCcpFSN5HSa65WV1Ws6Po4NDqLj3rHIAgRhXPJqiKXdA7q1u7qe0yyAkzJbKCWrJogEt1E2pB3pwSoQ+VKoxYnjO3/Z+/M46Oo7///3CsJ5IYkEMIRjmQgHMqhCCgqWKVRa6sWTzzaWq2tVn8tHrVq7bceFW3VatXWtlKsRURqbUW0CooiBjkEwzEJV4CQkDskm2uv3x+bWXZnj2zubPJ+Ph6t7By7s5v3zLzm/Xl/Xm8DV1+osHp9oY8I1nfN01iSm8OHXx7xaX5jMRuw2d2ZN234c8k3J/Hbv2/1TEg7abWxs/UGAvhlIWe1Zlq0iTZJ8TF9OpMbjK7wFg/FQLRAnD0lndy5gTNlgI84DdQNMNAN2NvlIdD7eX92wZFqjlfUh2yJrTV30vYJdKPOyy/xZB1nTx6OtckesOtkW6Khq7N5Qs+iz54G8l7X0MovNJca74mSzTZHyK7EgcgeneyZkGkyGrh3yRk++yy7c77HkjIxLor6Bhst9lNCOTE2iovOGuMTc9q5pD1keuM9uqRv7R4/yHLqfPA6d/ra9awrjklEdx9goJSUeHenBOlQ2dssyc3x8V51OF08/fo2Gr0ExcQxbk9VrYyhpq7JU2ICvt0mJ45J5soFWZ7sq5adLjhSjclkwDu0bQ6nZ3hTn2nctKuEedPSeX7pgk59v7ZKL7zXA11eptHdgqirhjsjjVCt4L0FtpaZ3rDtqE+2W8/KD9SA193hQwaTPdo92piXXxJWlhvcTXC8h/z9uqvml/DYq1s8ZTLaZOSOjlZ0ZTZP6FkCPZStWLuH978owoWLqeNTPCJWf47rJ0pqZUze9cbBrm8r1u5h7eeHPfs4nC7WbT7smaypZdK1z/YeWUqItbDorEyPI5b3w6LeEUtz/xmZFufzYOk9YbiytomSqgZKqhrYUVDOFedP8MnY611ZIqGkLhQiuvsAUlIi9BYzJqb5CIlGXQavsdl9ofTOVIO7flY/IUabGOZ9EwlWv6e9x7LXtrH0+pkkxcf4rNu0q4QVa/d0+CLbVumF9/oPvijChTuT1NVlGt0piAayBWKwVvAaefklPL78S4+o0GJQb525Yu2eoEK6tKqBx5d/yVlThrNl9wk//29w16k6XS5Pe22T0eBunLOvLGgsrfxADdh0KtBoRaQLDKFt9A9l+tgOFgPe5793qYlW661ds9dtPozBYPBc34LVjW/dV8bS5zZy6PhJT6Y6kN1mcuu1WntwXLf5sMe2UJ8IuPpCBQjcAGdJbg7WJjvvbjrkeW+H08WbHxXiAr9jLSqto7i83vMg0NdL6oIholsQ+inh+F2Hmv0O7qHvdZsPBxQc+s6S9Y02j4jWrAz1k3ViokzED7Z4yleabQ5WfqBSa/VvmJO3u5Ts0ckdqltuq/TCe733d4u0Mo2+OATbk2gxPijaTGOz3RPr+gmMAP/97BANzW7xrcVSWz7FDqcr6HC/xWzktAm+tplDEqJ9YlsfS6FEvj6TGUk1+0L3EWikxFuEe0+U1JZ7X7Pd58GpLPi2EDav3jXcwfztR6bF8daG/Z4HR4fTxer1hWSPTg6YCNCXwaz8QGXFe3uZPXk407NTWbvpkI9dYKhOmzsLK3ze65mVO8idWx1RIz1iGSgI/RDNOaOotC6klZi3DaEezQd57+GqgOvNJn+zQb2Vkt4HNjM9gVu/M83zmUYDnpbdemZPHt5hm6a2uk96r7eYjJhb7bQGUplGpOMd4/uKqn1iPZDFoPekLo8g7lSdvYv6RptPnJ0/c1TQuNO3qtaINhsD2lx2lUWZ0H8I1XV39pT0oF1JjV5dKJN0VpTBMBkNzJuWjvdpNG9aOs0tDj9B7nRxytZPdxw1db7X9v3FtZ5zteBINd9dmOX5DJPR4HMt1nfaPC0rxed+pTkYRZJVpmS6BaEfEsg5Q/uvd+ZbP0S5bV8ZJ60tnD9zpKfLWbBseLPNP/utFxr6bHhjs93zmes2Hw7aXGdCRqKntKQjdcttlV7o10PX13QL3UuwLLXmOHL/jWd4RlFabE6/Jh81dU3cdrnbqWHt54d96lbThwzmRHWDXxmIAXeGu8XuxGZ3sa+omoljkokb5Pb6zh6dHDTugh3vZeeOD5ipG6g1+wON9nTgDXfy9KI5me4yJ4cTs8nI5eeN99RJA57SK33jJ280q8283Sdwtr5PRmocaz4+4LdtqPjU+9F7s/bzw9x19XR+cdOZIevP9TXdegejSLLKFNEtCP0QvXPGoGhzUM9obYhS63bWbHPw740HyR6dHHL4XT9RRnMZATwTyUam+fq9jkyL83xmsMyddy1gZ+qW2yq90K8XsR1ZBLOs1LLX3n/fQFlm73kD4Gu9d870DLJHJ7Pivb0+nzFzYhr7iqp9rNMOl5zE5cKnE6VWXuWN/lzQJqQFEwsDuWZ/oNBeL/9wH8RmT0nnvhtmBY2d+288gx0F5WzZXRJwlBHcbiM7Csqxt5ap2B1O8naXel6DOzmiZA4JGZ+hrGUDlSRqx6+hr3EP5GAUSVaZIroFoR+id3gIxzNan0V5ZuUOj0jWyEiNpaKmyWeiTLAJih9uOcLU8UN99m9ucXgEub4NvdYeWy/cB3rdshAY7xjX13QH2zZYMxn9aI61ye6JOW83nkVzMomOMvnUeSfHRVPSaoXabHOw4r29FByp9nFgeGL5Fp995k1L9/ghh0Jiv3/TXi9/71HCtginFvzAsRo/0R03yELu3MyAI436B8cZE9PazDAHchvyHlnqyDyaSLbKFNEtCP0UfYagLc9ovQiub7Sxr6iaIQnRxA+OCsuySS/cwZ251myttHKS978o4r4bZgX1MJYJZEI4hOsOk5df4hbSk4f7iF/todI79s0mIycqrR57M32MaiJ6Z2EFp2WlcP7MUZ54Bfd5pp1rwdwi9G497SkxEPoPHfXy//pApc/Iive1M2BpU4BrasGRar828NEWU9AmNTV1TX4TG7XJ7t5Wg4HuC/rz1HuCfEdLpyLVKlNEdw/h7cUtTWGEniaczIB2gdXXy1WdbMbhlR0MlX3TD38umpPJojmZfh7H9lYrq4dvmdOmcI8kNxGh7+EtOKItJiaOSfaIja17y3zE9brNh9lZWMHWfWU+gkYff/os9dLrZ/qVokDwLoNbdpcQG2P2zJtoT4mB0H8Idl0O9RAW7PoYKlkRaJ/8A75xGbTzcGtTqHc3+bv4aLavl80f59Mds61EyUAunRL3kh5C8+LerpZ5xLcg9CRLcnN4fumCNocvc+dm+i2vtbb4zRJfsXYPP1m23meZdjHV3BgKjlSz4r29lNU0+L1nMNpyHhGE9qAXHI0BXEzAHbvDhsZ6rNba4xgye0o6S745yc8JKJADA0B5TZPnfAo26VkYGOivy205TwW7PoZyuwm0jz6rHqzzMPjHpLejSbPNQd7u0nY77YRyW+nPSKZb6HPIqEDvsiQ3h137K/yGHuFUzWGo7JyWGQxmkQbui7bWBl7PQM6CCF2PfvRl9uThlFY2BBza1tub6V+HYvaUdL9SklmT0rjvxjM94rqmrtnHRUXLZnakxEDon7RV5x3s+hhqkmWwMint/dsqa9Jbv3q7+piMhpDnlOCLiG6hz+HdoVNaxfcOy+6cz4q1e1j3xWFOWk+Vmni33fbm/S+K/LsC6rZJjI0iymIkMTbabwKmHplAJnQVgQSHvjOlht7eLJTdWSCC7a/Vn+ofRL3FTlfWdEuNeOQSzkNYoOtjODapbdVaB0Nv/epNtMVI3u5SZk1K8zhYybU7OCK6ewG7w0lZ1anhdm1YRhD6EtrFeN0XhzFg4KKzxpzKZutuDLXWFp5YvsWn1lW/jff+4SLiQeiZclTZAAAgAElEQVQK9PaBWkz5CZMAgqc9rdjDEUwJsRa/86krJ4VJjXhk05mHsLaSFe25nvrEfQjbv4Zmh2fy8OKFWd0uuCP9ntDjoltRlHOAZ4Ao4BBwo6qq1bptxgD5gObCfkJV1Yt69EC7kWabg137T01iUMYk9+LR9B7eDx9GIzhb7T/lIaRvEKo8ZElujl8WfNOuEs+kNG0bCP/mob+Yinjo//T0DbStmNLHrLfLQjgTxLT93/+iCJeu7Uio86kraa8NndD36GpnjhVr9/D+F0We0qa2rqf6SZmzJqWRGBuFCxeLzsp0b7O7lOq6Jp97QHfHWn+4J/TGRMq/AUtUVZ0K7AGWBthmFvC6qqqnt/6v3whu4RTNNodncmldg83zb2/zfaH3WPfF4ZCvtYuvN/oJNOFM3oTAk4dkgln/pq0JY91BODHlHbMdbcVea23hpNW3RXVPxbM+uy414gMb7TzTd2QNFX/6uN+0q8QT03DqHNHfA7o71vrDPaE3RPckVVX3KIpiATIA/9lacAYwRVGUrxRFWa8oytSePURBEAwYfF43NtvJyz81SWxJbg7zpp3K+nVmAk2gi6mIh/5Nb9xA2xtT4Trp5OWX8NKaXeTllwT9Xj0Vz0tyc1i8MIsxw+NZvDAr4jKBQtcS7LwKFX/eca9nw7ajnljv6VjrD/eEHi8vUVXV1iqiPwRswC8CbNYEvAa8DCwC3lYUZZKqqi0BthUEoRu46KwxPsPhNrvL07JXG2K/78Yz21XzGoxAtbCR3HVMaJvecO1ob0yF46QTaCg+0PfqyXiO1MYhQtejP88SYi0sOiszrM6XWlMcb0eeqpPNvLvpkKfcqidjrT/cE7pNdCuK8l3g97rF+1RVvUBV1a+BYYqi3Aq8Acz13khV1V95vVyrKMrjwCRgZ3cdryAIvmgXtLZa9naF00iwi6mIh/5Lb91A2xtTbcW3fig+KT6GxQuzAn4viWehp+noeRZo8rHFZPQ0OeutxmWRfg51m+hWVfVN4E3vZYqixCiK8m1VVd9uXfQa8LR+X0VR7sBd013ZusiAOysuCEIPsiQ3J6yWvaHaD4ebBY/0i6nQfvra39w7XoGwYjeQP/LsKel96nsJfZuuGC0MRWfPM21/fXfXjpQTdvd37ev0dHmJDXhBUZSjqqpuAxYDnwXY7lxgEPCkoijnAiZgX88dZtfg3eRFHDmESKWtIfZg7YdDtSUWhL6Gd7x+8EURLtwOS23FrjRzEjpDJF0nOxvrkfRdu4seFd2qqjoURbkK+JOiKCagGPgBgKIotwEjVFV9CPgp8KqiKDcAjcA1qqpGhKWFXmjvPuhO1g9UW0ChfxBqiF0/vP7Myh3kzq3G2mT3Wb5u8+EBd4EVeo/2ZtS849jm5aAUzjC6NHMSOkogh5y+HEud8QJft/lwRH3X7qA3JlJ+BswMsPwlr38XA9/oyePqKry7KYrQFgYC3sPrAPWNbqu0edPSMZuMHgvInYUVPj7egtBddCSjpo9jDZPRIG2thW4jVPv2SCOUj3Zefgk7C0/1JzGbjBH9XTtKb1gGCoLQj9CGHOMGWXyWHyur5/SsFM9rm8MZ1OfY23JNEDpLR/y1g8XxkIToPv+gKOdP5KLF3cXzxkZ8uUUoG9AdBeU+I0inZ6VE9HftKCK6BWGA0J035tlT0smdm+m7bPJwFs3JbNPnWMtKvrvpEMte2ybCQeg0en/t2BhzWLEfKI7Pnzmquw6zS5DzJ/KZPSWd2y6f1mUitLcewkL5aMfG+BZWjMtI7JFj6mv0eHmJIAg9T09MYAlmTdXWxJtIq2kU+j7eE75iY8z8e+PBdrdyjxQvYDl/BG96c7JiqHPH2jrXLdjrgYKIbkEYAPTUjTmQNVVbE2/6U02j0HfQ4u6lNbvaHft9zcowFHL+CN709kNYsHNH4tSNiO5O4u1WAmIN2NXYHU7Kqho8r41GcLaWhQ2KMRM/OKqXjiyy6MsXPLFcE7qTvhz7XYGcP4I3fTXeJU7diOjuJN5uJSCOJV1Ns83Brv2nZjwrY5JRi6oBmKGkiegOk75+wRPLNaG76Oux3xXI+SNo9OV4lzgV0R023hltybAKkYhc8ISBisS+MJCQeO+7iOgOE++MtmRY+wbepSfyICQIgiAIQl9GRHcH8BZ7UsPde3iXnsiDkCAIgiAIfRkR3V6EW0LiLfakhlsQBEEQBEFoC2mO44VWQrJdLfNxJBEEQRAEQRCEztDfMt0mgNLS0ra2C0iTw0x1tdsZo74hjpN1J0+tNBg965rTBwf8d6h1/XmfvnA83n+vaIsBg9Pm2cdltNBsc/mt814eaL9wWbhwYSZwTFXVjjypdSpmBaG9SLwKkUYnYlbiVehxQsVrfxPd6QDXXXddbx+HMLA4BIwFDndgX4lZoaeReBUijY7GrMSr0BsEjdf+Jrq/BM4BSgCZ4Sj0JMc6uJ/ErNAbSLwKkUZHYlbiVegtAsarweVyBVouCIIgCIIgCEIXIRMpBUEQBEEQBKGbEdEtCIIgCIIgCN2MiG5BEARBEARB6GZEdAuCIAiCIAhCNyOiWxAEQRAEQRC6GRHdgiAIgiAIgtDN9CufbkVRzMBIOt5tTRB6FIlZIZKQeBUiCYlXoa/Rr0Q37pPr0EcffdTbxyEMLAyd2FdiVuhpJF6FSKOjMSvxKvQGQeNVyksEQRAEQRAEoZsR0S0IgiAIgiAI3YyIbkEQBEEQBEHoZkR0C4IgCIIgCEI3I6JbEARBEARBELoZEd2CIAiCIAiC0M2I6BYEQRAEQRCEbkZEtyAIgiAIgiB0MyK6BUEQBEEQBKGbEdHdhVRVVfG9732Pa6+9lrvuuovGxka/bZ5//nmuvPJKrr76anbt2uWz7tVXX+Wpp57qqcMVBEEQBEEQeggR3V3IH//4Ry655BJef/11cnJyeOONN3zW7969my1btvDmm2/yu9/9jkceeQSApqYmfv7zn/P666/3xmELgiAIQF5+CS+t2UVefklvH4ogtInEa+Rh7o0PVRTlWuCXgAV4RlXVF7zWnQ686rV5KlCtquqUnji2NWvW8NZbb+F0OrnzzjuZM2cOAFu3buXZZ5/12famm25i4cKFntfbtm3j1ltvBWD+/Pn87ne/46abbvJZf/bZZ2MwGBgxYgQOh4OqqipMJhPf/va3mTt3LgcPHuz+LykIHaSuoYXGJjsAg2LMxA+O6uUjEoSuIS+/hGWvbaPZ5uDDLUdYev1MZk9J7+3DEoSASLxGJj0uuhVFyQAeBWYCzcDniqJsUFV1D4Cqql8Bp7duOxjYAtzWk8eYkJDAiy++6LNs1qxZrFixIuR+9fX1xMfHAxAbG0tdXZ3f+qSkJM9rbZsxY8Zw9tlns2bNmi76BoLQPTQ22dmulgEwQ0kT0S30G3YUlNNscwDQbHOwo6BcRIzQZ5F4jUx6I9N9AbBeVdUqAEVRVgNXAr8OsO39wCeqqn7Wg8fH2LFj/ZaFk+mOi4vDarUSExOD1WolISHBZ3ttvYbVavWIdEHoD0gmXIhUpmen8uGWIzTbHERbTEzPTu3tQxKEoEi8Ria9IbpHAN4FSCXAmfqNFEVJBH4ITO2h4/JgNPqXuoeT6Z4xYwaffPIJl19+ORs3bmTmzJl+65ctW8b3v/99SktLcTqdDBkypEuPXRB6E8mEC5HK7CnpLL1+JjsKypmenSpZQ6FPI/EamfSG6DYCLq/XBsAZYLvrgbdVtfUOHgH86Ec/4t5772XVqlUkJyfz9NNPA/Dkk0+yaNEipk2bxqxZs7jqqqtwOp089NBDvXzEgiAIgsbsKekiXoSIQeI18ugN0X0MOMfr9XDgeIDtvg081iNH5MXll1/e4X1TUlL4y1/+4rf8nnvu8fz7jjvu4I477ujyzxYEQRAEQRD6Lr0huj8EfqUoSipgBa7AXUbiQVEUA+6Jlpt7/vAEQRAEQRAEoWvpcZ9uVVWLgQeADcBXwOuqqm5RFGWtoiizWjdLBVpUVW3q6eMTBEEQBEEQhK6mV3y6VVV9HXhdtyzX699luMtOBEEQBEEQBCHikY6UgiAIgiAIgtDN9EqmWxCEvo34bQuCIAhC1yKZbkEQ/ND8trerZR7xLQiCIAhCx5FMtyAI3YLd4aSsqgGQbLkgCIIgSKZbEIQOoYnquoaWgOubbQ7JlguCIAhCKyK6BUHoEJqoFkEtCIIgCG0jolsQBEEQBEEQuhmp6RYEQRCEHiIvv4QdBeVMz05l9pT03j4cQegyJLbbRkS3IAiCILSyYu0e8naXMnvycJbk5nTpe+fll7DstW002xx8uOUIS6+fKeJE6JO09zyQ2A4PEd2CIAiCgFtorPqoEICi0jqALhXeOwrKabY5APeciB0F5SJMhD5HR84Die3wkJpuQRAEQQDydpeGfN1ZpmenEm0xARBtMTE9O7VL318QuoKOnAcS2+EhmW5BEARBAGZPHu7J7Gmvu/T9p6Sz9PqZUvcq9Gk6ch5IbIeHiG5BEELi3eRGGz4UhP6INoTeXTXd4BYnIkiEvkxHzwOJ7bYR0S0IQkiabQ527a8AQBmT3MtHIwjdy5LcnG4R24IQSch50D2I6BYEQRCEVrrTvUQQIhk5NzqPiG5BEARBoPvdSwQhUpFzo2sQ9xJBEASh37Bi7R5+smw9K9buafe+3e1eIgidpTPx3Rnk3OgaJNMtCIIg9As6m43rbvcSQegMvZltlnOja5BMtyAIgtAv6Gw2bkluDosXZjFmeDyLF2bJ8LnQp+jNbLOcG12DZLoFQRCEfkFXZOPEtUHoq/R2tlnOjc4jolsQBEHoF/SEz7Y34uYg9CTtiW+Jzb6JiG5BEDqFNM8R+hKhsnF5+SVd1jFP3ByEcOnKuAsn2yyx2XeRmm5BEDpFs83BdrWM7WoZdoeztw9HEAKSl1/Cste28e6mQyx7bRt5+SWdez9xcxDCoKvjLqzPlNjss4joFgRBEPo9OwrKPSMxzTYHOwrKO/V++npacXMQAtHVcRcOEpt9FykvEQRBEPo907NT+XDLEZptDqItJqZnp3bq/XqifrwryxKE3qGr4y4cenpug4bEa9uI6BYEQRD6PbOnpLP0+pldKgq6081BK0totjn4cMsRll4/U4RMBNIdcRcOPe00IvEaHr0iuhVFuRb4JWABnlFV9QXdegV4GUgGSoGrVVWt7vEDFQShy6lraKGxyQ7AoBgz8YOjevmIhIHC7Cnp7RICgTJ3PeUKEagsQURMZNLeuAtFd2WTOxvXEq/h0eM13YqiZACPAmcDpwM/VBQlx2u9AXgHeEJV1dOAHcB9PX2cgiB0D41Nds/ES018C0JfI9AEOM0Voqi0jlUfFXZrK+7p2alEW0wAPVaWIPRtumtSZlfEtcRrePTGRMoLgPWqqlapqmoFVgNXeq2fAVhVVV3X+vox4AUEQRAEoYcIlLnrSVcIrSzh4nljZaheALpvUmZXxLXEa3j0RnnJCMD78awEONPr9QSgVFGUvwDTgb3AHT13eIIgCMJAINRQfaAJcLEx5h7tCNiVZQlC5NPZSZnB4r2rOl1KvLZNb4huI+Dyem0AvM19zcB5wHxVVbcqivJ/wO+Am3rqAAVBEIT+hb5mta2JX4EmwGnrpdOf0Bt0ZlJmqHjvjNuJdL5sH70huo8B53i9Hg4c93pdChSqqrq19fU/cZegCIIgCEK7CdShz9pkb3PiV6DMXU+7QgiCNx3NJrc10bEjcS2dL9tPb9R0fwgsVBQlVVGUwcAVwDqv9Z8DqYqinNb6+lJgWw8foyAIgtBPCFSz2pcmfuXll/DSml090q1QGJh0R7xL58v20+OZblVVixVFeQDYAEQBr6iqukVRlLXAQ60lJd8B/qwoSizuzPiSnj5OQRAEoX8QqGa1t/yT9bRV5iINR4RwCRUr3RHvI9PifM6rkWlxnX7P/k6v+HSrqvo68LpuWa7Xv/PwnVwpCIIgCB3Cu2Z1ZFoc1iY7efklfWLiV6hhf2k4IoRLbzy8JcXHhHwt+NMb5SWCIAiC0KMsyc1hyTcnsXVvWZf7HHeGUMP+3WURJ/Q/QsVKd/l796USrUhB2sALgiAIAwK9MFm3+XCvl26EGvbvrEWc0H/RZ65DxUp3dYvsKyVakYSIbkEQBGFA4C1MLCYjXxVWYN9X1uulG8HKXETUCIEIVkrSGw9vfaFEK5IQ0S0IgiAMCLyFyYlKK1v3lQFtZ/96czKjiBpBT7DMdahYmTp+KACL5mRKPPUiIroFQRCEAYMmTPLyS/j6QGWb2b/2TGaURiFCT9CezLV3/EZbTCyakxnWZ0gsdw8iugVBEIQBR7ilG4GyigVHqv0EiTQKEXoKLXZXfqBSa22m4Eh1u+K3rUy3xHL3Ie4lgiAIwoBk9pR0brt8mo9Fn75Jjd6hoaauiVUfFVJUWseqjwpZsXaPe19pFCL0IAVHqtlfXEt5TZNPHOrpiMNIT8fyQGoOJZluQRC6HbvDSVlVA4An6yIIvY13rTYQsIxEnxFf8d5e3/fYXcqS3By/BjzSKESAtucDdHS+QCBhHCgb3ZHJuIGaSXUXA82LXkS3IAjdTrPNwa79FQAoY5J7+WiEgUYgYaO/2U8dPzToMLz3BLWCI9UBBcmS3ByKy+vZtMudrcvbfcLTgEcYmITTsKajgjOYMA4U66EmWAba3ruZVHfXdHeXnWFfRUS3IAiC0G8JJmz0N3twD78HmpzmLUxCCZLmllOjOHaHk5UfqGL3N4BpS1B2RnAGisP2ivhQ2y/JzTn1GUEeWrsitgeaF72IbkEQBKHfEkzY6G/2i+ZksmhOpkdIFBypZsV7exmZFsfWvWU+wsRbkITiQHEt+4trB8SwueBPW4KyrfVtOYjo47C9Ij6c7QMJcwhcitURBpoXvYhuQRAEod8STNgEu9nPnpIe0L0B2hYyi+ZksrOwApvDidEATtep/fpC98tgiD1c99CWoAy1viMOIu3NGsfGmD1xqm2vj4Vg7eW7siRkIHnRi+gWBEEQIhptqDs2xoy1ye4nooMJm2A3+2BuDXohoxcos6ekc+8NszzH8u+NB2m2OTCbjG4x3sXdL7tiiF/s4bqXtgRluDGYt7uU7NHJIf/e7cka5+WXsObjAzhdYDTAZfPHUXCk2i8Wggn5QMtWrN3Dhm1HSYyN5uoLlQEjpNuDiG5BEAQhYvEe/tbQC9v2ZtL0k9TmTUsnKT7GR8joxWpxeT333Ximz2dpIqk93S878r07I+TDdcEQepZAbjjh/L31sR7swWzd5sPYHU7Anek+WFxLeU2jz3tpsRBIyOuXeZ8P5TVNPL78S+6/8QwR3jpEdAuCIAgRhyYmTlRa/WwoOytsw3Fv0IvVTbtK+N7/vc/5M0d5tm9v98v2oB/216wM2/ude9IeTggffQxam+ztLukI9mCWl19CUelJv+2D2V4Gemj1E/e688HhdLX7HAynzKmrJnD2FiK6BUEQhIjCW0wYjQYMgMtrfTjCtq2bd6DJkj776AQK4GlUou3vvb0+M9hZ8eA97A/ubPuy17a1O+Pdk/ZwQtvonXK0OFq3+TBmkxG7w0m0xURsjJmX1uxqVzfVFe/tpeBItafsScNkNADukZl509I9tpdb95aFbXupPx9MRkO7Hi7DKXPqD57eIroFQRCEiMJbTDhbZyuajAbOmjLcrwwkEB25eQfaZ/iQwZS2Nn3y2ba1/la//W2XTwv6Xtr3CruBSWv97or39npESkcz/OG6sQjdS1tOIRaTkVkT0xiXkegRzqHiN9CDmf5BMTUphuq6FrbuK+PrA5VMHT/Us6498aTFT0drusMpc+oPnt4iugVBEIQepzOZXr2YAPdwdlJ8jEfYBvu82BgzebtLQ5Zm6I9txdo9rP38sN8Nf/zIxICie2RaXEiBoF/3yr/zPe/Tngyeto0mygaCz3FfoqtKHQKVSgVyCrG11mCHKjXxPqYN24566raDYTIaPdvo/eotJiMnKq1hZ7s78/AWTplTf/D0FtE9ALDZbBw+coyjx0uoq6vHZrcTEx1NQnw8Q4ckMTwtleSkRIxGY8D9nU4nJ8orOHLsOKUnyjhZX4/JaGTMqJGcNnkScXGxPfyNhP5GXUMLjU12AAbFmIkfHNXLRyR0J50dJtayvOs2H/ZY9IW6CQeabOmNd2kG+HoQz5qU5hlu14i2mKipa/JbrpEUH0NNXZPPMu31irV72LK7BJPRgMPpwmQ0+Aj3QBm8UOJuoPkc9xW6bCKr1/uYTUYsJqNfPH/wRZFHcH9VWMHlGYkeYWw0uK3/9O/17qZDYX1+aVWDJxa9/erXbT7MV4UVngx4d5dyhFPm1B9iXUR3P8ThcLB7XyGbv9zGlu072VewnxabLeQ+JpOJpMQE4uNiiYmOxmAw0NTcjNXaQGV1DQ5H4JuVxWIm9xsLuOma7zJyhEzAiWS8hW8wcdJdNDbZ2a663R1mKGkiuvs5XTFM7D1JUbsJAwHrXL0/z5u4QRbqG20+x6H9W/vvzsIKv33uunq6JzuuR6u3/WS7737Hyup96lYBJmQkUmttprzGV6Dru2G2Je4Gks9xX6GrSh2838fucDJrYhrDhsb6xHBKYgwlrQ9mdocTa5Pd8zDodMG/Nx70OOV05No9JCGaMyen+3zmjoJy7AEcd7pzImM4mfJIj3UR3f0Ap9PJkeLj5O9Rydv2FV9s3U5N7UmMRiM5ShZXfiuXnIlZjBmZQVJiAmazmabmZmpP1lFRVc2JsnIqKquoqqnFarXS1NSMC4iOiiI2djApQ5IZnpbK6JEZjEgfRmJCPA6HE3X/AT78+DPe/WA9/9vwKffceRu53zgfg8HQ2z+J0AG8ha8yJrmXj0boz3TlMLG3+A4mTrVMoDfRFhO5czM9tbHBPIgT46I8whwgd24ms6ekU3Ck2q8+Nn3IYM6ZnuE3UQ3AYjKyYdtRn2U2h5Ps0cmU15zKmM+blh70gSFS61j7I10Vw4E6o+qb5JToSpg27SzmpLXF81qLi0BlV4GIthhptp0qO/F23An1/fTn2GXzx/n54guhEdEdgTgcDnbu3suWbV+xa88+9qr7qbdaAUhOSuSsWTM456wzmD1rOokJ8UHfZ+SIzp0kZ0w/jTOmn8bN1y3mocef5le//T171EL+3+0/wGQydeq9BUHov3RkmDhUhi0vv4QV7+0NKk6trSM4GmaTgbEjErA22QMKB+3YDhyrYV9RtWe/iWOSPeJkSW4Ob39ygBb7KfFSUtXAO5/6Cu4osxGH08X+4lqPS4SG1mJeY960dO678UyfbfpDHWt/pKtKHbxLpQIRqFFTTX2Lz2ujAc8xLL1+Jis/UNlfXOuzTdwgM/WN2kimk7hBZqyNdkakxgZ16Rk7IoFjZfWeOQr6mvO3NuzH4XT5PeRGuq1fdyKiO4JoaGzk9dX/ZtXb/6W6phaj0UjWuEwuWjCfSdkTmDxJYdyYUUFrs7uL4WmpvPjUo/zhz6/yjzffpryyksd+eQ9ms4SXIAiBac8wcV5+CU/8fSt2h5P3vyjivhtmUXCkmrzdpR7h6i10LSajjzidnp3K+18UeSaM2R0u9hVVs6+oGovJyL03zPIcyxPLt7CzsIIoi5Gqk80+x3HQS8isWLvHR3BrNLX4ZhntDqenHbzD6WJCRiLlNY24cHGissHnuJPiYwL+Tm2JOxE5vUNXljpoPu76+ulA1pTemIwGrjh/gl8jqNue+JDicqtnO01w618Xl1u56hfvMnp4PEdK62i22XG58MQs4DlXdM+MOFo30pefRLqtX3ciqihCUAsPsPThxyg5UcY5c84k9xvnc9asGcTFDg65X4vNxvbdhWzLV9l38AgV1bU0NDUTExXFkKR4MoalMm5UOuNGjWDcqHRShyR1qDzEZDJx123fJy1lKL9/8S/8etmz/Oreu3v8AUAQhP6Hd/c8u8PJ7/+53ZO9DiRIvD27tdbUTmdgFwebw8lT/9jGt84ZR3F5/anJkY3+27bYnSx9biPL7pwftFW8Hm/xEm0xMWzoYE8W8qS11mcSW7AsdihxJyIn8glVQrQkN4dd+ytQj1TjcvnuNz4jkWsCWPM9sXyLj+Bui4Zmu8+ITjCcrsDLTUYDW3aXEBtj9nNWWbf5cPusA/v5A6SI7ghg974CbvvZL0iIj+fPzzzB6VMnt7nP/qJi/vXBRt7buIU6awMmk5HxozPIGJbCoJhomppbqKyuZeOWnfz7w888+0VHWUgbmkxSQhzxsYMZHBNNTHQUg2OiiYsdTEpyIhnDUsiZkElSQpzf51575bdpam7mxb++Rkb6cG696bou/S0EQRD05SJ67A4nv12xlfEZiWGJiaYWB6s+KsSsT+UFYP+xGqDtDKQeowHPcL03gSaxtQep+Y58gpUQ5eWXBCwV0dDquvVCdcueEz127ODOeGuNoeZNS/c08QHYrobfYGcgPEB2SnQripKhqmqxblmOqqp7OndYgkZNbS33PvI4Q5IS+ctzy0gZOiTotk6nk0+27GTlu+vZvrsAi9nMgjnTufDsMzhz2iRiogM7QlTVnOTg0RIOHjtOSVklZZU1VJ+so7q2juIT5TQ2tdDU3Ex9Q6OnEQXA5KxMLl0wl28tmIfFciqUbr52MUeOHecvr73BrNOnMfP0qV33gwiCMKDIyw9sy9cWNrszLMHtjVOfSgyA0WBgxdo9LMnNYeOOYh+7P/0ENd/3dg/Tm02+wt5md3qyhB0RGPpJooEmjQp9h0CtzgOVELVlcwlQXtPIY8u/xGQwYHM4PUK1N8eXj5XVk5IY4zkvnC5Y+YEaMLb1v8VAeIDs0NmpKIqm/NYqinIeoF1FLMAaYGLnD00A+O2zL1JVXcNf2xDceV/t4dm/v0Xh4WOMSBvKnTdczqUL5gXMRusZkpTAkKQEZk1VQm7ndDqpqq2jqLiUXepB/rdpK0+8/DpvvLuBB2C19vwAACAASURBVH98A1OVcQAYDAbuufM2vt69j0d/9wdWvvICUVGW9n1xocfQrAJ72iZQENrCp927wXd4OzbGjMPpYmhiTLuG0kOhHz7XKu3MJgM2u3tli93Jqo8KKS53TzDzFt0JsdGU1wSoS/HC7nC/z+BoM43Nds+kuFUfFbJrfwWNzfZ2tWPXZ/3Xfn4Y8G+hLfQ+oVqd60uIwrX/czpdODlVW/3kiq0B5xp0F/rzcvbk4X4uPccr/M/PQL/FQJg03NFH4n8C32j9d6XXcjuwuq2dFUW5FvglbpH+jKqqL+jWPwx8D9DSFH/WbzMQ+N/Hn/LhJ5u4/fs3MDF7QsBtKqpr+e3Lr/Pxlq8YMSyFR356MxedfSYmk/+zblNzCzsKithz6DhVtfW4gLhB0QwbmkhGajKZ6SmkJScErcM2Go2kJCeSkpzIzCkKN1/xTT7duounXlnJbQ89zZP3/oh5M6YAMHjQIH5+x63ced/D/POtf3PjNVd22e8idC2aVaDYBAp9DZ92765TvtaVtU0esVlW1ci8aekcK6tnULTZL7utFwUTMhKxNtr8bNgCoSW+NcHtzaZdJVjMBgy4a8jNJiPnzxzp48MdCqPRgP5dtWMvKq1j3ReHWXRW5qmmIQFqXfWNdgDqG22eYxDh3XMEq0X2Xh6q1bk298Bmd2IxG8kenexpgBMKA+5Y0v7+PSm4wa0L5kwexrGyek8XyRbdaE9Ds52lz230eaAM9ltEevObtuiQ6FZV9SIARVH+qqrq99qzr6IoGcCjwEygGfhcUZQNupKUWcDVqqpu7sjx9QeOl57gsd+9wOSJ2Sy56vKA23z59T7uf+pPNDW38JPrv8M1ly4kyuKfUS6pqOH19zfzzqfbaWx2+80mxMZgMBiob2zG4dUmNjrKzOhhQxmZNoSM1GTSU5IYkZLEqGFDyUhLxqQT5OfMmsZUZRx3PPIs9z75En957B6UcaMBmHPGDM6ePYvlK1dz+aWLiI9rO+suCEL/pCMTpPSZr6svVNhRUO7Tbc/mcJIUH+Ox2lv63EYf4W02GX2ESGlVAyPT4sIS3W2hifHYGDN3XzOD1evDE9wA9iANxzROWk+J5+zRyX61rgVHqn0EvsVs8Hk48BZ0QvcSrBZZvzwlydedZlC0W4LpmyYBlNeUkJEay4mqBs/oSCASYqMYHG3uknjWGBxtxmI2UmttaXNbe+v5l5Eax/tfFAXdx/uBEoK3fY/05jdt0anir/YK7lYuANarqloFoCjKauBK4Nde28wCfqEoyhhgI/BzVVWb/N6pn2JtaOCehx/DhYvfPLAUs87z2uVy8dfVa/nTG/8hMyOd3y69lcyR/t0gSytrePXdz3hn43YAvjF7CovOmsb07NGe+m6n00l5TR3HyqooKqmkqLSCI6WVHCwuY9POAlrsp24M0RYzk8dlcNaUCVxyzumkJLo9wJPi43j2l3ew5OeP8uCzf+W1px7wiP/bbr6e62+7i1f/uZo7brmpO34uQRD6OO2ZIKUX54EyX972f3p7wGV3zvfUigbKfNc32tpd690W1iY7f3xrp5/FYCiaWsLLSL7z6UHiB1v8al3zD/h2vBwUbcZmP9XERxMxQvcTrBZZv7xW56/d2OwerQnmhBNO2ZR346auoqHZjlGnnTNSYwMeT7TFRE1dE+9uCn/uRd7uUp5fusDz7/aUU0U6vTHjYgTg/dcpATzdABRFiQN2AEuB/cCrwIPAAz13iL1Hc0sL9zz8OPsPHubp3zzo11q9obGJ/3vh73z4+TYuOudM7rv1WuIGD/LZZv/RE7y5fgv/+XQHAN+aP4ObLz6HYUMT/T7PaDQybEgiw4YkMnPiWJ91TqeTqpNWjpdXU1RaSeGxE3xVUMQf3/qIl9/ewJXnn8GPrljA4JhohiQl8Ivbl3DXb/7A8n+9zy2LLwFAyRrPJRct5B+r/sXC+fPIUbK68ucSBCECCHeCVDBx7r1twZFqkuOjMBuNZKTFMS4j0dO+3dtmbUluDj9Ztr4Hvp2b9gjuYCTEWrDbnTQ0n0p2NLU4fLy/tVrX2BizT6Zw0VmZwMATMX2BYLXI+uWnZaWcsqTE/WCUl1+CJUA5aDAyUmMprbSiDVA7nC5SkwaFlZVuD/r5DZnpCWSmJ/gcvwG4bP64oA8NE8ckU1nbiM3u9Gnooz0QhtP2XU+giaiRRG+IbiO+NqoGwPPIr6pqPZCrvVYU5WngrwwA0d3Q2MjPHvwNW3fs4uF77mLe7Fk+6w8ePc59y/5E0fFS7rzhcq6/7EKPp3aLzc4Hefms2fAl+QeLsZhNfGv+DG66+GyGD03q0PEYjUZSkuJJSYpnWtZoz/IjpZX84/3PWfVRHp/vKuTZn13PyLQhzJsxhW/Mm8Wrb73HN+fPZuRw94Xn7h/9gC3bvuLBR5/ileeeJDnJX/wLgtB/CXeClF6cr9t8mB0F5dTUNQWs2R43MtHTcj1QBr29tn69zUmrDZPRwLxp6ewsrPDLYppNBmZNSvN5ENELkEgUIpFCsBKpYCMygZZ7i0bvsiGT0YDT5fLz4tZTU9eMQzdIMmNiGmazsctHcLzZ/HUJVy7I8iljcuEe5Ql2ntU1tHDSavN8vyEJ0QFbzreF9rvX1DV5RL9+Imqk0Bui+xhwjtfr4cBx7YWiKKOBC1RV/WvrIgPQ9eMnfYwT5RXc8/BjqIUHeOS+u8n9xgKf9R/nfcXDz/6VmOgoXnj4bo/TSE19A6s/2sJbG7ZSWVvP2BEp3H3NRXxzzjSS4mN9P6O6nm37j7Pr0AkKj1dxoqaeusYWoswmEmOjyRiaQGZaEuPTkxk7PJmxw5KJG+RvMzh6+FDuv/FSLpo9lXuef4NbH/8bL957E6OHD+Xum7/Lpm1f89QrK/n9Az/BYDCQEB/Hbx5Yyh33PsT37ljKk7+6n6zxvln1yqpqjh0vwWw2M2ZkBnFxsX6fK/Q/7A4nZVUN4pzSzwm3Zba3OLeYjHxVWIF9X1nAbQF2FlaEzKBrjUW8xYh+YmV3EdvaZrstMlJjKat2ZwPBnbksrWwgd26mX52v3eFi064Sj2VhRzKFGpGeMexp2iqRClaLrF/u/Td7ac0uT/xq3UqDeXJrBPKo376vrM39OovTRcBJwjV1Tdx2+ZkBj+F4udWTYXU4XSTGRpM9OpmX1uwKe25HKOvESJy30Bui+0PgV4qipAJW4Argh17rG4EnFUXZABwGfgz8q6cPsifZlLeVR558hubmFn77yC84d+5szzqXy8Wf3vgPr6x6l5wJmSy79zbShibT2NzCP9Z9zor3NtHYbGPu1Alce9EczsgZ58l+n2xoZseBErYUFPNlQTFFZe4TIn5QFFkZQzlr4kjiB0VjszuoqmvkWGUdOw7s9QnuIfGDyExLYsKIIUzNHMacSe59AGZMzOSle2/i9ieXc9fvX+PVh35I6pAkbr3mW/z+b2+yfvN2Fs6dCcD0aZN58elH+fmDj3LtD+9k+rTJZKQPp77eyt7C/ZwoO1WfOCgmhksXXcCPvrekzY6bQmTTbHOwa3+FOKcMAMKZIOUtzk9UWtkaQnADnJaV4mkBr28qsm7zYY6V1VNe4zvBrCcENxCW4IbAdbsnrS0+Lef1dFZshLKuEwLTXg/pcB5qpmensm7zYRxOFyajgasvVNiw7ahPCUc4HC452a7tu5JNu0pY+txGrAFqy5MTon3KrvYX1/Kbv20B3F1mhyS4RXhSfExQER7KOjES5y30uOhWVbVYUZQHgA1AFPCKqqpbFEVZCzykqupWRVFuBf7Tuv4z4OmePs6e4ER5Bc//eTnrPvqYcZmjeeKh+xg7ZpRnvc1m59cvLGfdxi1cumAu9916LVEWC5/tLODJFe9SWlnLglk53PLt8xifkYbT6SK/qIyN+UXkqcUUFFfgckFMlJnp49P5zpxJzMoewfjhQzAG6bzmdLo4XlXHwdJqispqKCqr4fCJGt7JU1n16W6izCa+MWM8t+eeQUriYCaMGsZTd17Nbb99lUde+RdP3XkNi3PPZ+3HX7DslZWcMW0iCa1Z66k5E/nnK3/g32s/4H8ff8qXO3YSEx3N6VNymJSdRebokdgdDjZ8+jmr31mLtaGBX917d4/8LQRB6Bto4jwvv4TtallQkTxvWjr33Xim35B/Xn4JT/x9q2eiZSRy/syRIUV3Z8VGKOs6ITDt8ZDWP9Rs31fG1QHatRccqfZY/TmcLlavL/TrWKpZUobC3lNPkkEIVtYSbTYFXA6nuliW17gfMIJNsNb/7rMmpfnYE/5k2fqIGq3pldZVqqq+DryuW5br9e+3gLd6+rh6iprakyxfuZo3334Xl8vF96+/iu9dd5VPA5mGxibuefIl8nbu5UfXXsbNV3yTZpudx159h7c/2c7YEam8fP/NTM8eQ1VdI6+s28Z/thRQWl2PyWhgauYwfnDhDGZmjWDKmDQsIYLfG6PRwMiUBEamJABjPMvtDif7jlWw9stC/pOn8vGuQ9y/+By+MX0807JG89OrLuTp19fx1oatXLngDH55+w3cdO/jPLf8LX754xs87zMkOYmbr1vMzdctDnoM586dTVxsLKvfWcvt37uBtNSh7f+RBUGIGPR1rus2HwZam9ME0RNJ8W77NX0GfeUHasQK7oTYKBadNYbi8nryD1YGFFwTxyS3e4heTzC7NiE44ZZIgf9Dzf7iWpa9ts1PVL7/RZHPdoHEa+/K6c7RHhvDYKMHwX73SB2tkX6xPYjD4WDNf9fxx7+soKGxkUULz+XWm65jxPBhPtvV1lm56zd/YO+BIh76yY1cumAuFbV1/PzZf7Ln0HFuzD2bH37nPFrsTv747pes2phPY4ud2UoGt+XO4uzJoz0lIABNNgf7i2s4VF5PaW0jVfXNNLVObIiLsTAsMYbRQ+MYlxZPany0pzzFG7PJyJQxaUwZk8Y1507h1//8hIdWbMBkNLLgtLEsvmA2n35VwAurP+S8GROZOH40133rAv7+9gecO/t0zpk1rV2/1aKF5/LGv/7DbrWAtNQ5HfvBBUHo8+hvnqEye1o9tnem0VuwA91e29qdWBttfjXo+t/jSOlJzxC9lh0E2uWB7mm4IzXd7SJcD+lAEwsDiUpXREvqriXU6EGg3z1SR2tEdPcQ1oYGfvbL37Bt59ecMeM0fvbjWxifOcZvu6qak/z4kWcoKj7BE0tv5bzZp1NSUcOPnnyVqlory+64mnNnTGSLWsyv//kJ5bVWLpwxnu9fOIPMYW6XEpfLhVpSy8Z9J9i8vxy1pNYzhAWQMMhCtNmEw+mivslGi1dWKHGQhczUuFYRHkf28ESmjEwi2nIqUz4qNZHnbv0md770Hg+uWM/IlG+TnTGUe5ZczDUP/pE/rPofj/zwcm695lts/moPv35+Oa//7kFSh4TvouJsPV6LWUJUEPoz+ptnMBkyfMhgfnDZFD8nCH22K5JxOF3sP1bjs0z/e3jbCWoOL18fqPRM8Lts/jisTfY2BXhnJmH2J7pjQumS3ByKy+vZtq+MFpvD70FRK4maOj6l3fXbkYrFbPRMFtaTEGvhzsXT3Vnt5zay/1gNE0YmsezO+UHfL1JHa0TR9ACNjU3cdf8jfL1nHw8u/SmXXrQwYDa5vKqG2x/+PSXllTzzy59w5rRJVNTU8eNly6mzNvHivTeSMzaD1zbs4oX/bGFMWiKP3/Qtpma6M+WNLXb+u+MY/9paxMHyeowGmJyRxHVzxzFxRCLj0+JJTxpElFepicvloqq+maJKKwdO1LH/xEmKKqx8pp7gPzuOAhBtNnJ29jCumTuWKSPdE94GRVt46gcXctUTb7LsrU386Y5LGT18KNctmsur//2Uqy6YTc64DB77f7ewZOmj3LvsZV585P8RHeXfMTMQ+woPAJA5emSnfntBEPo24dj6RVtM/OCyKX4Zr2D+wJFM3CCLj6dxOHhP8Fu9vhCnK3iNbHvo7w4n3VWikJdf4pngazYZmZGVwqI5mX5dKqMtJuZNSw9ohxnJBHIICia4AQwYPIJb+w32FVVzxb3/YVxGok/7eI1IHa0R0d0DvPCX5ezcvZffPLCUC88/J+A29Q2N3Pl/z1FWWc1zD97JjMnZ2Ox27vnDSipr63l+6Q1MHjeSv36wnZff28bC08by4DXnMijagsvlYt2uYp7/3z4q65vJyUjinounsCAnnaTYU5Z/DqeL0pNNlNU109jixGiAQVEmkgdbmJSRxIxM39rpyvpm9hbXkHeggnW7jvHRnhK+PXM0dy/KIdpiIjE2htsvPoNH3/iUjflFnDs1kxty5/HOxu38fuX7/On+m8kcOZxf3XET9z31J3713N/4zd0/wBRGI4AdX+czLC2FjPTIeHoVug7NRhBgUIyZ+MH+tpVC/0HLCgbK+A1JiGbO1BEBs7btbSrS1whmXdgewT1vWjrnzxzlyXSbjAbPqGY4DhuhiNSa2fbQXSUK3o4bdoeTYUNjPX8HvQvKF/klnDXFPSl46XMbKTxa7efDDfj4Y/d1rlyQxa79Few/VoPRYKAlhOAGSE1yN/jTj/K02J1+7eODCW/9ur6KiO5upvDAId7891qu/FZuUMHtdDr5xdN/5tCxEp594A5mTM4G4Pk3PyT/YDFP/HgxU8eP4oPtB3j5vW18c9YEHr72PAwGA7UNLTy4egdbDlYwOSOJxxbP4LTRQzzv3dji4OOCCj7dX8lXx2ppsgUP/uTBFkYPGUTm0MGMHTqYySMSmJudxtnKMH60UOEvnxTyj88PUlh6kj/cMJvB0WZyz8jm1Q+/YsX6nZw7NZO4QTHc8u3z+O3f32X91j0sPGMyC+fO5Kc3Xsmzy1czeFAMD/zoeozG0DfLvep+pk5SAo4ICP0bzUYQYIaSJqJ7AKC5kDz6ty0+5RQnrS3cdrn/fJC8/BIeX/4lDqcLA4CBNpuK9DWyRydTUmHtUCfBuEEWcudmekSGNtEsNsbMvz4+gM3hxGIyhnTYaItIrZltD91VohDM6WTF2j1s2V3i88DlcLpt92574sOgbd+DtWDvqxSX1zN+ZBJXLsii4Ei1j793QqyFk1Zfe8FhQ93WwBNGJoXM9utjMBIfDEV0dzOvrFjJ4EGDuO3m64Nu8/6nX7J5x26W3nI1s093B8zRE5Ws+jCP75w3kwWzcqhvauHpNZ8zLXMYD1w1H4PBQGV9M7f/bTMlNY0svXgK35k52mMFWN9kZ9X2YtbsKKGhxcGIxBguykkjOy2O4YnRDLaYcOIW5ZXWFsrrWiiuaaSoqpH/7S2nobXtcNIgCxfmpPLt09O548JJTM5I4pert/PIv77i8cUzMZuMXD1/Ck//azN7jpSTMzqVy+bP4O2Pt7HstbXMnJhJUnws11/2DeobGvnLm+9iMZu594fXhBTUVdU1pKWkdN0fQhCEPs3sKekoY5J9broTRgaeB7LyA9WT0XV5/i+yKKmw+nWcDJfTslJ8xIW3zaL2U9gcTjZsO9rhTHek1sy2h+4qUQjWiTJQcxmNUKI6kgQ34Bm1+nDLEVKSYnzWjUiJ46S12m/7FWv3sOzO+Sx9biPqkeqAD9Ej0+J8Xm/YdtTvtYjuAcyx46Vs+GwzN1x9BQnxcQG3sTscPL9iDZPGj+HKi871LH/9/c2YjEZuuew8AP61aS811iae+eEiLGYTLpeLX6zaRmltI88uOZPpraUhLpeLD/aU8+LGQ5xssnNu1lCumDGCyenxAJSebKagrJ6CE/XUNtlpsjkwGgxEmYykJ8aQMyKetLgoBkWZKa5u5POD1azefpy3vyrlmjMyuOaMkdx5YQ7PvL+Hv392gJvmTyD3zGxeXLuVVZ/m86vrzsdsMvHwD77DDY+8zBN//y+P374Yg8HArVdfSovNxoq3PyAudhA/uf47QX+7hIQ4qmsj14VAEIRThFsbrN10tYlUAN+55x2/SVW11uZgbxExdCTDrZG3u9TTldKbHQXlPnaJ3t0r20uk1sy2l66aUKr3iy84Uk3+gQpiY8zMnpLuZw84EGi2OfweGIJlsrUHEu08f2L5FvJ2l2J3nFLfmk2oRmJsNOU1TT6v+zoiuruRt9e+j9FgYPFllwTdZseeQsqqavjZ96/yKbn4/Ov9zJ2WRUqSWyx/vu8oysgUJo12D1N9mF/CziPV/OJbUz2C29psZ9kH+9m4v5LJ6fHcuWAcWWlxnGy08fbOEjYUVHCitTuU0QDxMWZizCZcuGunrC12bF4BnhIXxazRSXx35lTW7DjO8i+OsrP4JI9covD1sWpe+biAedlpZA1P4JIzs1nz+V5+fMmZpCbGMmHUMG6/YiHPrfoff/vvp3zvUnd2/o4ll2NtaGL5mnWMGp7KZRecHfB3yVGy2PbV17hcLikxEYQIpr1DwNpNVz+paulzGz3rzp85KmTWsL9jd7g8339Jbo5H8MXG+N/S83aXkj06uV2WghricBIe+hbxsyalebK9Wsw3NofXoXQgs/bzw2SPdps1bN1b5iO4A1kKXn2hwmOvbsHpcmuaqy9UevR4O4KI7m7C5XKx7qOPmXPmzJDNXTbv2I3FbGbO9MmeZTX1DZRU1LB44ZmeZfuOVnDxGVme16vyDjEuNY6LT3d3sGxscfCz1fnsL7dy6zmZfHfmCGwOJ6u2FfPfr0tptjuZnB7PJVOGk5MeT2p8FNUNNirqW7A2O7C1ZkeMBrA5XNQ329lTWsdHajnv7y3j/OwUfnbBeJ5Zf5B71uzhVxdPYvvhSh57Zxev/GAeV8+fwlub9vC3/+3gnivdQvq6RXNRj5Ty0pr1jMtI5bwZkzAYDCy95WqKT5Tz5J//yfScLEaP8PUpB5g/ZzYbPt3MvsIDTMqe0Lk/hiAIvUZHa4P1k6oKj1Z7GsIMRCaOSWb/sRofIbJh21GyRyf7uGFM1JXojEyL8xGEnXU0EfzRT47cWVjhs37Nx/sxSvKoTeobbSx7bRtTxw/1af0+Zng8S745KWDcmoxGnA4npjbmifUVIuMoI5CiY8WcKKvgnLPOCLld4eFjjBuVzqCYU8Mi9Q3u4ZKkePfkAqfTRUOzjcRY99BKQ7OdPcW1nDNxGCajAZfLxWPrCthfbuXXl07iqlkZFFU2cO+a3by14zgzRiXy9BVT+Pk3JjAoysS/dpZw/9t7ePS9Al7+9DCvbTnKG9uKeWNbMf/cWszqHcdZt6cMlwuuP3MUi3LS2KBW8OG+cu5eOI6CE/X8edMR7rpoEnuP1/Kf7UfJSEngO3Mn8fbmfRwsqQLAYDDwy+99i8njMnj4T2s4UFwGgNlk4ld33EyUxcLjL/8j4O8yb/YsDAYDn27e0rk/hCAIvYq+Fjjc2mB9PbfTCe9uOsTjy78MK8sdE2Ui2hL5tzgDsHhhFsvunM/l5/kmIKpONrNu82EfwTd+ZBKLF2YxZng8ixdmkRQf47N+R0F5D3+DyCMvv4SX1uwiLz88D+3p2ameXhYWk5H4Qb7WuHaHq00Hj4GA0eCOZ41509JZvDCLOK/fq9nmIP9gJabW+WnRFlNQwb2joNyTMLQ5nBER25F/Reqj7D94GIDJk0IPdxQePsaEMRk+y1ps7mGoqNbGMFrXKi1Yj1RacbhcTBrhvil9caiaTQequOXsTOaOH0JBWT2PvLuPFoeTB3MVbp0/lq+O1fLgO3tZta2Yk4025o0byg2zR/H/Fo7noYsVfn3pRB7KVbjvwixuOyeTi6e4s8/v5p+guKaJW84eQ22Tjf/tLee62SNZr1ZgiYrm9NFDeHmDirXZzi0XzSQ2Jorfrt6Ew+k+EaItFp78yVXERFn4zV//7VmeMiSRW666hK1fq+w94F/rlpyUyISxY9irDtwhZEHoDyzJzfERgeGWKyy7cz4TxyRjNhlIiovyTBB0BPLZC4DZZKA5hFtTpGAyGVjz8X5ue+JDrE12hg8Z7Fmn/Raa4NOG4Jfk5rDkm5OwNtmJjTH7rdezYu0ern/oPa57aC0r1u7pgW/Vd9FKRd7ddIhlr20LS3hrEydnTUzDhbv9ucloIIIdLbsEA+6mVhMyEpk1MQ2L2egz5/nrAxVkj07mrqunY/b6sZpaHDicLiZkJIYcmfF+2DEA6zYfYulzG7vvC3UBUl7STZRVVAIwLDW4A0dpeRWVNSeZON63M6X+lmIyGokymzzZirKT7kx4WoI78716+3HSE6K5Yno6FfXNPPZeAYmDLDx08UQcThe/fb+QSmsLM0YlcsHEVIYnRHOospFDlQ18XXKSKqvN41ZiAJIGW8hKjeWmOaMpr29m1dZi/vv1CW6YPYo/fVbEiPoWlGFxvPDJIX5xUTY/fvULXv/8ILecn81PLzuL//vnJ/xjwy5uWHg6AKnJCdx9zSIe+tMa/peXz6I5bguwSxfM5Y//eJt3N2xmku43ABiZkc6hoqN+ywVBiCy02uAVa/fwk2Xrw56Yp9Vw5+WX8MTft/pMEmyL+sb+UUOrlZMUl1spLj/ksy7aYmLRnEwWzcn0qdn2rjG2mIyMGR5PUny0p0GLN3pXDe9a8YGIvlQkXK/z2VPS3RNZ97lHdB1OF0lxUe1udNSfMBigtLXnggF/bXPS6i4nGTsiIeC5fay83m+ZflL20utn8vybX1FT34LD6T//o68xwJ/Dug+r1R1ocXGxQbf5eMtXAJx1uu/FzdronuwYN/hUyYnZZMTmcF8IrM1um6n4GAstdif5x09ydtZQzCYjq7cfx+508sA3FWwOJ7//aD/Ndgd3LxjPtWeOorDcyu/XH2TltmK2HanBgIGJw+I4N2soC5UU5o0fQmpcFNuP1vLyZ4c5XtvEzy6YQHyMmU8KKvnOacPZeqSGS6YOo7rBxsHKJhbmpPOPzw9yoraRi8/I4vxpY3n5vW2ox07VtV101lSGD03kf1vyPcviYweTPXYUB44cD/j7mE1mTzt4QRAiG03cFZXWseqjwrAyi3WYvQAAIABJREFUqppILzhSTXSU3K70DIl33yNmT0nntsunBWzAYnM42V9cy9cHKgO+RyBXjXVfHOYny9YPyKy3d/Y02MhAOPuajAYfwZ0UN/D6DXjfvoPdyZttjqCOJk0tDh5f/qVntCHQNWT2lHQ/6039fJC+hFzFuonmlhZMJhNmkyngepfLxX/Xf07WmJFkZvjWOJZWugNmaKKvzaAWwFptWJTZSHFNIzaHi+y0OOwOJ5/ur+S8rBTS4qN5c7tbzN69cAJD46L482eH+exAFWNTBnPNrAzuvTCLm+eM5pKpwzk3K4V544eyQEnl6lkjuWvBeKaNSGDzwWoOVTZw41mjqbC2kDTYQmKMmb2ldZw+MoG3dhzn9gsUXC4XL36kYjAYuH/x2STFxvDoyo2ep1eDwcDZp2Xz5Z5DuLwMOFOSE6msORnwN6q3Whk8KCbgOkEQIotAEypDob/BWtvIXJtNA2+iWklVQ8ASCG/xpxGonnvF2j0BrQtPWm3tejjqT2ilIhfPG9vuSafe+w5J8LWvs5hFbnUEh9PFyg9UIPg1RD//I5i/fzC0h/ueiHWJgm6iqamJ2MGDgq7fvrsA9dBRvpv7/9m77/i2yuvx4x9tea/Y8Xamb4bJBgcSAhmslFF2WhIIpQX6g1KgUGj5thA2pFBGoLSlZZgyCyUthAQII4zsieNEjrOcOHa8l2zLWr8/ZCmSLDmOY1se5/168SLSvZIfSVf2uc89zzlnt9u2o+gQRr2OEalJgGshZXOrlQij7+IMFdDclrMYYdBQUtuCzeFkbEoUh2uaKTzayFwlkRijljc2HMLcaufa3AyunJLG6KRIz0KFQML1Gi6ekMyQCD2bimsZmRhBSrSB3WVmTh8Rz7bDdczPGUp5QysHalq4Knc4q3aUsPtIHTERRu689HRMJVX85/tdnufMHJpAS6uV2oYmz33mphYiIwK/TyWlR0lNbl/ZRJy8hqZWyqubKK9u8lklLkRP6WhBZaCFax9+vfeEnt+7qsdgYrHaWbn2gM/7551j7M6VDTRr6x/EqFUQE6HvcJ/BwP/KQVceO3tqhs/9wdYiaNQq0hKDXxEXx+ryB/sd4r3+Y0xW3AmllnTlCtzJkJzuHlJbV09UZOCGOABvfbSamKgILpiV63O/w+FgzVYTU8cMQ6t1zVSU15lxOiExOtxnXyegbQuc7Q4nDW11QGPDdBS1FaQ/dVgc6w7UUGW2cm1uBsMSwrHaHew4Us+hmmbqW2xEG7VkxoUxMS3GJxBXqVSkx4VR1JZXlREfzp7yRmaOSmFlQTkpMUYSInSs3FnOPeeO4uNth3lqRT5//dkZzJk4nCmjUnht9TYuPWMsWo2a+BjXL5aaBjNx0a5/l1VWMzIztd37Y7VaKSktY86ZZ3T6PRed19xiY4vJlXuoZMWFeDRiMAjWbMW/xvHdC6fy7y/2SLWHTlIB2/dUYt1d7lMSsLC4horaZnLHDyU2yhiwRrd/18kr5rjK0nrneA/ETpS9ITszDo1ahd3hRIWr0oy/mAg9keG6ftdxsqfERxuw2500W2w+33/3CUxHDZu6msPd1ZKmXSVBdw8pr6wiaUjg+twV1bWs2biDxZedj9HgO6uwbU8xZVV1/PKyOZ77io64cvGGJ7cPjqLDXB9hXbONxEjX5Syr3UlVYyt6rZpoo5bth+sZmRjBsIRw6lusfLTzKHXNNpIi9aTFGKltsbL+YC0NFjtnjfIdc12zlUiD62foNCqsdgdZbavnD9e2MEdJ5D/bSnGi4v/NU3h4+Q5WF5RyTk4q15x9Cr95+VPW7jrEmTlZhLeVRWxqcV3OtNsdlBytYPb0ye1eV0lpGXa7neFZ6cd5p4UQ/UWgZiuBFq715ZzMvkavU3uqtLjfv8LiGp+GRFfNHR1w1tb9Waxad9BTJetEOlH6d2Hszzp6LZ3tqOpta2GFZ3Y72DWYOnPrSXUm7c/GZMVRWFzjSZudMSGFe6871psk2Hve3Q2b/E88e/okU9JLesihklLSUgN/eOu2FeB0OjlnxrR22z7+dhvhRj1nTx17bP/dhzHoNIzNcF0aNLfNaEcYtMSHu4L2anMrkW3dyBparFjtDgxaNc1WO7XNVoYnhON0OllTVEVzq52LcoZy+aRU5iqJXD4xlTFDIyksb8RiO5Zq0Nxq52B1E8MSXEF2XbOVKKOO2HAdahXUmFs5K3sINoeT9furmT8xnawhEbz2TRFOp5PpYzIIN+j4ZmcxANHhrvzshrY65HUNjdjtDpIS2udf1dW7vgTxcSeWmyWE6F9qG1ra3T7RnMzBzLssokatYnJ24gnnz9eZW6k3Wz2X1xfNH8eyu+ccN+A+0dJ6fVVHr6Wr6Qf+x7XwVVZl9llo6d/i3X0MAj2ab93VkqZdJUF3D2g0N1FZVU1WRlrA7bv3HiQi3NiuPrfT6WTNNhNnTR5DWNsMuNPpZE3+QU5T0jHqXUF1eX0LBq2acL0WvVZNmE5NfYuNmLagu67FhhPXZccqs2tV75BIPVVmK4dqW5iaEUt6rG8edU5KFDaHkwNVzZ779lQ04nDC+BRXK/qKhlYSI/WoVSqijTrqWqyMSY4kLlzHuv01qNUqrjljBEVHGygoqUOrUXNqdiqbi1wLOmMi24L3RldOt7nZ9Uspwth+saS7aolULxFiYDtc3tju9tLbZg3KhZEnKz7aQG5Oygk1JDrRAN0t0BWK/qqj19LV98f/uI6J0LfLlx/MahtbPesNtBq1z3oD98LGu59b0+V86xNpcNSZk8zuIkF3D9h/0DWzOzwrM+B2c4uFyPAwVH5tYY9U1FDX2Myk7GOP232okqO1ZmafMsxzX/7hGpSUGNRt+ddqlQqH00mYXoMKaGq1e+5z19+O0GvYX2VGBWQntc81T4jQo1GrqPK61LW3wkyEXkNqjBGb3UFFo4XkttrgEQYNZovr50zJjGHroTqcTiezlGRUwNqitnzh9CGUVNXTZLEyJNYVvJfXuKqVuCuTuINvb8MyXWkl+w4UB3wPhRADQ6AAcX1+qbTNDkCjVpEYa2RMkHUYFqvdE5hER+iIidAfd/auqx1DT6a0Xl/T0Wvp6vsTZvDN3k0ZEsEbD17AVXNHe9ZiDWZajcrT8M/73fC+suBfSrCzi6vddf0//m4/j7++qU9dhZGc7h5QtN9V93TksPYNXwAijAYaGptwOp0+gXdlnevMOGXIsUurm/e6DpbpY11BaFVDCwUltSw+09UO2GKzY261E23UolapULct3NBpVNgdYGvrAKnTqD0l/8L17csYqlUqEsJ1lDceW+zRYLETH6FHpVLRbLXjcB7LIY/QazG3utJcsodGsnp3JfUtNmIj9CTHhnG4rSB+anwUTidU1TeRkRhDhFFPRY0rdSQ2KhKDXkfJ0Ur8xcXGMDwzg6++W8vCqy7t+A0XQvR5HeVowrEc4uzMOB55ZUPQPNjBzO5wctp4V3WMvBUFrFp30Ccn2J0i4q3Eq8FIoLzlE8nh9uaukDIQcro7ei1dfX+aLb4lLksrXYsldxRVYpMruAxLjqaopA5w1ZL/x/J8nnl7a4dXt1ttDk/6U0dWrj3gKVdssztYufZAnzk+JejuAYVF+4gIDyM1OSng9qz0ZJpaLBytrCE5Md5zv73tIFGrj12A2HWogpS4SBKiXKkZX+4qw+GEeTmuih+Ha1yzxOlxrnQRh9OJSnVs9ttbU6udiAABt1tKtJH80npsdgdajRq1ClrdaR5O31b0UUYtlW0BemKEa4FklbmVmDAdRp2G5raA3J0S4749JDaKilpX0K3RqBmenkLRwZKA47no/Hk897dXOHDoMMMyZEGlEP2Vd9dD96KlYIuj7nj6Kwm4g9B5XYZfNH8c63eWHXch3nc7Sj0zff5VYrwD765cWs/NSekzwczJ6ui1dOX98V+gV2duJW9FgSwSxrVocvbUDJ8us6XVTcd5lEtH1UXcJ/aWVt8yuPn7qjoVrPcGSS/pATt3FzJWGe0TPHubqIwEXLW6vcW2BdY19cfKB1XXNzM07lg6yPd7ykmPD2dEkitVY+cRV6qGMjQSu8OJ0+n6xazXqmm1O9C35UxZbA70WjXWDmrZpsUasTuhtK20UVKUgaMNFmx2B5EGLRq1ipomV454hEHjSV3xnk13OJyU1TYzNMZ1ElDT6DopiGkLzMONBlosx/5IKMMzKDxwyKdhjtv5c89CpVKx8vOvgo5ZCNH3nUherLsmr2jP7nDw1//s8KSQdDbVYWthxYDKwe4PSgK0MF/x/QGGxocH2HtwcS+adDgClwXVaVXogzQTSm9Lj/XP2fZOSymrbsI7g6el1d5nGj1J0N3NGhvNFBbt45SxStB9Rg9LJyYqgvXbd/nc704rOVxe7bmvxWojTH/sgkT+4VqmDjtW1m9PuZmYMC2pMUZPeSK1CsJ0GpxOPEF3bZOVaKOWmqbWoEX6U2OMqIAj9a5AOTMuDLvDSUldCxq1iiEReo42uP4gGrRqWtpWzVe3BeIxYVr2ljfQbLUzemg04Cp3GKbXembqnX5zWCMyU6mtb6SuoX2d0sQhCUwYP4aNW3cEfS/F4OHd0KehaXCW2eqvTiQv1r+pyGDnndrucEJFbQvvrt7Dlb/7H++u3oNRryYmQo9e6/r/mKw4wg3Hrmi6c5SPl4Pdm135Brq8FQV8t6N9HnFjs5XK2pZBn9O9YWcpb39qIlgmSVJceNA6/bFRxoDVZvxP5BNijO26gPaFRk+SXtLNvt+wGbvDwYzc9uUA3dRqNdMnjWPdtp0+ed1hBj3pSXEUFh87MML0WswWV1Brsdqpb7Z6ZpEBDtc2kxHnWpTp7vprtTtJiDxW/USrVlFS18zY5CgKyho5UN3EyCHtO2DpNGpiw3SexZTDEsJRAfsrm8iKDyc5xkBpndeix7bfG/sqzCRE6Ig26nhn135UwBnZSTgcTr7ZWcxpShpajRqn00l5dT1K5rFLeEPiYgCoqq0nNrr9As9hGel8s25j0PdSDB7eDX2mKElEhUslgP7iRPJiF80fR0lFI9//UEqAC2CDjkGnpqW1fQDivq+l1UFLq+t3dqvNt+7zqLQYFpzrmgDaWljBJbNGYG6xEWHUema6c3NSjpv+M5h1pUZ3R8GdxWp3zeIO4rzuitoWKmqDl1Q8Uhm4WZC7JGagqzb+6TwJMWHtfkZfaPQkM93d7LsNm4iJjiKng5lugNyJ46iua2Bv8RGf+8cNT+OHvcfSLYbGRnKkqi0HWq1Co1L5nAF6L8RUqVQkROgprWshsy3He19VE8MTwikobSA12khMmJa1+2s8qSHenE4nzTY7hrbZcaNOQ2z4sSA82qjDbHE9rtFyLD88/0gDytAonE4nq34oYcqwBBIiDXy/q5jyWjPnTHal0xSXVVFdb0bJOnbgu1NNDHrfFvdudocDTZA0HSFE/9HZslzr80tZl18mAXebQAF3Z1XUukrAumcFl6/ZR4RRy/I1+zqcJewLM4J9QVdrdKcHqBDmTbqtdizYd99dEnNydqKne7Y7EPevt+2/kDUmQt8nTiRDEs0oivJTRVEKFEXZoyjKLR3s9yNFUfb35thO1rb8AqZNmoBGE3zBIsCpp4wBXI1yvE1RhlFZ28j+I65ZiJGp8VTWN1FRZ0arUZMcG0bR0XrP/kOjDBRXN2NtW4wwKjGCXWUNxITpSIkxsvlgLdOyYmm02Fl/sIY5o4fQbLXz3rYjbD5US6PFht3hpKaple/2VdNidZDmVcPblUbiCrRVgL3t21DRYCE+Qk9Fo4UjdS2ckhbNzsO1HK5u4vwJrvrj76zZSWJMOLMnDAdg9SbXa505Mdvz/EUHS9Bo1CQPObag1NveAwdJTRna4XsphBg4vDv5CV/RETqykqM6vb8TZ7tZwfU7ywLOEnrrCzOCfUFXT0b8G724Se35k+NOPSssrvH8jrA7nBQWu0oLep/Y+x/D500PXE2ut/V60K0oShrwCDATmATcqChKu9MPRVGGAn/Ct4Rjn9faaiUqquOzXIDkxHiyh2fw5bqtPvefOckVkH61ZTcAZ4xxVe1Yk+8qQ3imMpR1RRVUt1UOma0Mob7FxpcmV9m9M0clUNNkZXNxLWePTqC4phmzxcbY5Ei+LKzEbLHz4wnJxIfr2HCwlryNh/nb9wd5e8sRfihtYHxKFKMTXaknrTYH5Q0WhrbV5i5vsJAYaaDV5uBAlStFZf0+18F+2rBYPt52GINWzZxxyewtrWZDYQlXzBiHVqPGZrfzwZebOG3cCJLbOlDa7HY+/XYjM6acglbb/iTlwKHD7DIVcdYZ00/gExBC9Afr80u54+mv+NlDq3xmEPtzveeedv70YSy7ew5XzR3d6f29OyMadBpyxye3y+3u7a58/UWwGvLHa7rinT/v/3jNIM/n7qoZE1J80tS8rd9Z1m5NQl89pkMx0z0P+MJkMlWbTCYz8G/gigD7vQws6dWRdYMh8XHs2Lkr6Kpcb+fOmMYO01527z3WACYxLpqJozP43zdbsdntDE+OY2RKHO99sxO7w8ElUzNwOuH5T12LME/NimVUYgQvrTlAVWMrUzJjGRpt4I31h5iQFkNKjJE3N5aQOyyOhAg9/9p4mM0Ha5k1Mp6rJ6cyc0Q8p2XFMmtkAgunpTNrZAIatSuF5b0tJTickJ0UQUOLjb2VZoYnhLO5uBabw0lOajSf7aogLdbIkAgdq34oYe74FCKMOv715Q4MOg2XnuFqZ//5hp2U19Rz9Tm5ntf6vy++p6q2nkvPOTPg+/PXV97AoNdzwbyzT+ITEUL0NevzS3nstY0UldR5FgZ6KnLkpDBjwsAoQ9ed3JfH1+eXYm6xkdxBFQytRuUJzL0X9E0bm8Si+eO4e+FUfjRjeLuygb3Vla+/8A/csjPjgraL9+au+/2jGcMZkxVHZJiOGRNSuPe607h89qhefhX9R0cLTL2vHvifDIUZtAHTgPriMR2KoDsV8D5SSwGfIsyKotwGbAHW9eK4usXCqy5l34FiPvx41XH3vfy8s4iKCOeFf/3Hp2TeT889nZKKGj5dn49KpeL6cyaz/2gtH28oZHhiFItnjeKTHSV8vO0wKpWK31+QTbPVzoMrTLTaHfy/WcMpb7Tw0jf7+dkZmWjVKv727QFmjohnWmYsGw7W8tyX+/nP9lJK61pw2J2AkyN1zWw/XMfnuyv427cH2FfZxIWnDCUjLowPt5didzg5c3QCH+eXkRRlwKhT88ORei6akMx/tx6mqdXOVbnDKatpZOXmIi6ZPoaYCCMOh4PXV3zLiLREZkxw/SFosbTyj/c+5pTs4cyYmtPuvVnz/QY+//o7rr/mKoYkBE49EUL0T4FSSLxnr+697jSumjua6IjAaz0Go5yRCSz5+1pPp73ymuB1jXPHJ2NusfHl5kM+97tbk+fmuBrsDJQa2z3JO3A7kbKL7tzj/UfqaWy28v2OUn5893I++Lqot4berxj1Gv6z9GLGZMWh1ahIS4xod0XGPZsNdJi/3VNrEk6ktXwwoaheogafunEqwDMtrChKDnA5MBe/YLw/mHfWTJZ/8hlPPvcSQ5MSO6xiEhkRxo0LLuKpf7zDeyu/4qoLZgNw1pQxjB2WynPvfMqsSQpzJ47g/ZEF/PnDdUwamcL1s0axvbiaR5ZvR6tWcd6ENO4+dxSPflLIPR/s5LEfj+O63ExeXVdMs9XO9adn8s7mEv7+3UHGDI1knjKEJqudA1XNbDxY2+6Pn1oFGXFhnDsuiZFDIli+vZQNB2o4b1wSW4pr2VNu5qYzh7Hsq/3EhumYOSKOxX/9llNHDGFMagwPvfU1apWKa2ZPAODT9fkUHS7noZsu99Qu/9d/P+NoZQ0P/Op6n8WgAKVHy1ny5J9RRo1g0VWXdefHI4ToAyZnJ7Jy7QGf3z2B8ojrzdZeHFXfti6/zOf9CpT2Hh2hIypc75nd9p83lFztkzM5O5HPNxRjsdoDll305x2kOwG7g0FdtaQjRr3GVQrwtlme+7w7qBYW1/hU2Llq7miW3T3Hs6935ZKeOM7dZQoDNZc6EaGY6T4MeI80GfAu4XFl2/ZNwAogVVGUb3pveCdHo9Hw5AO/Z9SIYfz2/kdZ8/2GDve/ev5sZkzJ4c+vvOdplqNWq7n3ugupaTDz57dXoVarWHLNbLQaNb/5+ypqG1tY+pNpTMqK54EPtvGPr/Zw9ugh/N98hV1ljfzyze1kJYRz61nD2VXayOOfFjI+JYrzxiVSVm/hrU0l/HdHGRUNFjJijUxJj+GsUQnMH5/ET6alccMZWZw1egjFVU08vqqQ1aZKzhyVQGyYljfWH2ZKRgz7K80UlDZw05lZLPtsF40WK78+bywbC0v4eGMhV545nuS4SBqamnnh358zOmMo55w2HoDDZRW88v4nzJ4+mWmn+FZ5abFYuOeBx7A7HDx+/73og1Q1EUL0X7k5KfzuulMZlRZDYqzRJ+fSPZu1ct2B0A6yj+nM4tIWi52SimPl1tyP8H+PRdd4p410JugKltstXFVHvBeW1ja28sTrm3xmkb2vyHS0qLU38re7q7lUKILuz4G5iqIkKooSjmtWe6V7o8lkut9kMmWbTKZJwHzgiMlkCpz020dFRoSz7MkHGTkii98+8CgfrVoddF+VSsWDt/+MtKFD+O2TL3G4zPVBjh2WynU/OpP/fbOVz9bnMzQukj/dcC4VdWZu+cvH1JlbePqnp3HehDT+/lUht7+xgTFJEfzp8vG02h3c9s4Oth2u5+5zRjFiSARvby7hrY0lhOnUTEqPZnJ6DOF6DYXljazaVc6/tx7htXWHeO7LfTy6spCnPi9i+Y4ydBo1i6dnYrM7WPbVfpShkWTEhfGvDSXMz0niQFkNXxSUccu8MYTrVPwh7wuGJcXyi/On4nQ6efy1j6isbeC+xRejVqtxOBw88pc8tBoNv/nZ1T7vhdPp5Iln/8KuwiIe+t1vSE+VS59CDFS5OSn8+c6zmT01w7MQ6vHXNnhyM/1nuQNle4YZtIQbBke7iUAL8Py79gUrRXfa+JSQBtwDqfHO8VJzvFMQ3EF6bKT0FPBndzhJS/QtOmG1O4IGs8ersNPT+dvHay7VWb3+28pkMpUoinIf8CWgB142mUwbFEVZAfzRZDJt6u0x9YTYmBheXPoId9//CEuefIb8XSbu+H8/x6Bv/+WLjozgz7+/levveZw7H3uBVx+/l/AwIzdecjabd+3n4VeWMyx1CBNHJPP0L87nNy+v4tqnPuDBhXO4/9KJTMqM588rd7Lgha+5duZIll19CnkbSli+vZT/7ijj1KxYLpmYTF2TjcLyRnYcqffUwYwyaEmNNZAYaSA6TEe4XoNRqyZcr0WrhuKaZl76Zj/1LTbOHJVAS6udl78r5sxR8Wjsrbzy3QEunJTOjFHx3Pz8/7DZHTx+/TmE6bU8/eZKPtuwk1uumMu4Ea4ygi/860M2/WDi979cyNAhcT7vwwcfreSjVav5xbU/4czTT+vxz0gIEVqBmrJ402lVWG2uX1ZOICU+nMr6ZlSosDuc7XI5B5oZE1I4XN7oCTBWrjvgczLy47NGsmrdQZ+GOP5OJkDoDoOp8Y53CsIn3+/nijmuWdfcnBTufm4NRYdrGRofjlajDni8D2R6rZqYSD3V9RbPVZswgxa1WoWj7bZOow7YKdXdnOiquaPbNSryTkHpyTUK7hOok/1ZIZkiMJlMbwJv+t03P8B+B4BhvTOq7hcZEc7zTzzIX/6Rx+vvvM+2/AJ+f8etTBg/pt2+GSlJPHrXL7h1ybM8+fe3eOC269FqNTxx69Vct+Rv3PXsW/zl3sVMGZXCq3f+mHtf+Zxf//UTLs5VuHn+NE4beRbPrirgb18W8t76A1w0JYPHLhnD5kP1fFVYybr9rtJ+UQYtaXFG4sJ1GHUanE4n5lY7Ww7VBWyYo1GpmJIZQ1qMkZUFFRyqaebSSckcKqtmlamcK07LYtbIWG56/iNUKhUv3nIhqfGRPPLKf/nvN1v5ybnTuXb+TADe/N/nvP6fVVx+3ix+PG+mz8/Z9sNO/rTsb8zIncbPFy3ogU9DCBFq/t39jrfg6bRxyWzaVY7FakerUVNZ14K1beF3MKPSYth3pK7fp85q1JCWGMm9153mE8xp1Criow3MnprhCTzcQS3AmKw4mi020pMiiY0y9ngwcjyB0gIGatDtnYLgcML7XxaRnRlHbk5Ku1xl9+c5WLTaHNgdTp80qd0Ha3BfwFEBl5490udY9T9h88/j7q48687KzUk56ecfHNflQkir0fCrGxczecJ4HnvmRX7+699y+UUX8KsbFxMeFuaz72kTxnLDlfN5+d2PmTltAvPOmMqQ2Cj+9OufcOvS17nx0Vd47jcLGZGWxCt3/Ji/r9zMW1//wKdb93LFjHH85vwcFs4Yyevf7uWN7/by+rd7SY8LJyc9lhlZUbTYVTRY7FQ3WSk82kiV14xJuF7DsIRwkqL0RBm1GLRq1GoVjc02Nh2sZUVDK+lxRq49NZV/r9tLbVMrt507FnNdNb/+60oyk2JYesO56NVObnzsnxTsP8LPLprFTZfOxul0sizvA17/8FPmTJ/CXTcs8Fk8WbTvAHf+30OkJg9lyb13ehZbCiEGjkAznv6tmzVqleePsrvEmnsm62iVmU27yzv1s4x6DU2W/h3Q2B2uYPqbrSXYHA5PgOaa4T/22rxrF59Iq/Le4v8ZD+TFnJOzE/nk+/2eEz67w9WcyD9Q85413Xu4lt0Ha0Iw2t5XXW9pd5/7vXIC5paOq5D4n7AFbAffxyvySNDdS2ZOP5V3//kCf/nnG7z74Uds3vYDTy75HcMyM3z2u+HKH/H9lp08/tK/mDhmJInxsYwdlspL9y7mV3/K47olf+OmS2dz9Tm5/OriXH58+hheXrWFN7/6gbe+/oHpY9KZN2kkP5+nkXaEAAAgAElEQVQ1kvwj9awrqmDzgSoqGnwPdq1aRXJsOIkxYUSGGVFp1NS32Nl0sJZGr1/oYTo1kzJiOGtkHPkHK3jp8wJGJEbym/PHkPf5ZnYeLOeCaaP47RUz+X5HIY+9+j8cDgdP3Ho1s6eOpba+kfufe4Xvt+Rz+XlncffPF6DRHAuq123awn0PL8VoMLDsyQeJie58tzUhRP8R6A9o7vhkoiN0qFBx3vQssjPj2l2+dc8urc8vDRh0a9UqbG1/uTVqFUUldT3/YnpRaXX70oCNzVbPCcyi+ePIzozD3GIjOzOu3b7+/K829LS+flLQnXJzUrhizmje/7IIu8PZYWqP+7jOW1EwaILuQNwn2oHeq+OdsJ1oNZm+QILuXhQRHs5dt97IWTNyue/hpSy+9S5eePIhxo851hZdq9Gw5LbrWXjXwzzw3Ks8+3+/QqvVMDojmbwHbuKJ1z/muXc/453P17PgnOlccMYEliyczY3nT+U/a3exastevitw1WZNjY9ieHIsMzMjCTfGYEeF1aGi1e7EYocGi52yuhZ2HKjytHePDdczakgEBp2WcL2G+iYLa3ceoqnVRkKkgVvmKtRUV/GHV1cRZtDx4KLZ5Gan8tir/2XVuh8YPyKNB2+8jIyhCWzbVcR9T/2dmvpG7r3pp1x27izPDLfVauWVN9/j5by3GTksi6UP/p6UoUm9/6GIPs1md1DeFnQMpkuxA5H/H1B3Qwuffbpw+dYdcI9Ki6HObKGituU4j+jbjHo1La3Hb64GrkDW3bClM5fYj5df3VP5sYvmjxvQwbY390lQsPfR/6RnoFfp0WpV2O1OVCoI1DMwOSGcSdlJPu+V93EYKI/brbvyrHuTBN0hcOrkibz+4tPc9Jvfc8d9D/LP55f6VOoYlp7M3T9fwMMv5vHgC6/xwK8Wo1arSYyLZultC1iXX8QrH33Ds+98yrJ/f860McOYOUnhginDufmCaRQeqWbzniPsLqnk4NFadh6soNYc+A+RXqthdEo8yYlxhBnDsThUVDW2UttoocxqJzpMx3kTUkmN1lNZXc0rK77F3GJl/rTR3HLRqaz/YQ8L7nuBOnMzv7jkbK6/8EzUahWvfrCSl95cTurQIbzy+D0oIzI9P3N7fgGPP/MXivYf4IJ5Z/O7228hLMwYcHyi+zQ0tdLcdvmuvwSwFqudHUWVAChZx2bx3MF4mFFLVLhUBugP/Gc8TzTX93gluqx2B7OnZrQL5PuT+GgDr91/Pnc8/VWnZux1GjUr1x7o9CX2jt7z3s6PHciCnTwGOulRBazLM3DY3Auhg6yxKKkwM2OCKxR96YMdRBi1LF+zz+c4dHdifemDHe2C6+7Is+5NEnSHSPLQJJ57bAk3/Opufnv/o/xz2Z8wGgye7ZfMm0l1bT0vvrmcBnMT9/1yEUPiYlCpVJx+ymhOP2U0+0rK+eT7HXy1ZRdP/esTACLDDGRnJpOZnMCI+Bgmp2dg1OtQq9RYHQ5sdic2hxMHaqx2J9VmC6bDVazL30dzqysg02rUDEuKJdagw1Jn45OiQppbbWjUKuZMHMGiORMwmxv57bNvkr+vhJyR6Tz3m0VkZyZTU9fAH575B+u37+KcGdP4/S8XEhnuyl2vb2jk2Zf+yX9XfsbQpCE89dAfmHWGVCnpLc0tNraYXJfnvQPY/sgdjE9RkiTo7kf8ZzxPJNfX+1JyIN4zYR99u5+mflbZRAXMO9U1ObHgXCXoQrsxWXFU1TVTXW+hqKQOnUaNVqPGZncc9xJ7R5fr+2N+bH8T6KTnvOlZ/fpE8USpaL8M+svNhzyBtlp1LM/bux72QDkhlKA7hLIy0ljyuzu5/fdLePqFv/P7O2/12b748gswGg0sy/uAK391P5e1Vf3ISHGlYYxIS+KWK+dxy5XzKKmoYcvuA+zcX0JhcRlfbd5NbWPwNsFuBr0WJTOFiyelkZI4BLXOwNG6JorLa7FY7USE6Zk4IpmcrCROyUpky+59PPHKf8jfV0JibBR/vOES5p8xEbVazdqtO1ny/Ks0mJv4/S8X8uN5Mz3pJN+u28jDTz1PbW0d1159OT9ftEBmt4UYxE4019f7UnJtQwuHyxsJM2hptth8Hp+dGYdafaBbxqjXqvnxWSNZ/s1eLJ1M+egqJ66Fk+5qF5fMGsH6nWWkJ0VSVtVEvbmV2VPTWTR/HHc8/ZUnjcZqdzBtTBJDEyKOe4m9o/e8P+bH9lXB0nR6clGpTqtCrVJhsfbscdqR6Agd508fBriOMZvd4dOsSa2C4akxHDxa75kBB4iJMHiOZ4ezfZ63/wnh25+aOkyh6svrByToDrEZudO4dsHlvP72+4wcnsXVl17k2aZSqfjJhXM5fdJ4XnprOW8s/5TX/7OKjJQkxo8exqjMNNKSE0lKiCUhNoa508Zy4cxJx/KmbTbqzM1YWm3YbHYcTid2uwOL1Uq9uZmyqjr2l1aya38JH3yxkVabHbVKxeiMoYxITyIzIRKtRkNdfRXvfFLAkgNHsNkdZAyN565rLuDiMydjNOhpMDfx/Osf8J/PvmFERirP/eE2soe7Foja7HaW/f1V/vXeh4waPoxnHvkjY7JHheKtFkL0MSea63u8S8ndXYrt1HFDTyjg1qghOSGCsiqzq+V3F7z9qQnAM/PnDtIMOg3ZmXHkrSjwST3RqFWcf/qwTs/8BXvP+2N+bF/UUZqO/0kP0G2z3K569k5iI/U4naBSua5uttocHRTYPHlGvZqh8RHtglz3WgO3uEg9jc029vqlTaUlRvhc2THoNFwyawRbdpdTZ7ZQWFzD5OxEVq494KlsVFRSR96KgnbHcX+oCS9Bdx/w/362iOJDJTz1wt8JCwvj4vPn+Wwflp7M43ffRGl5FWs2bmf99l1syS9k5Zr2LeZ1Wi1RkeFEhBkx6HXotBrUajUqVKhUoNVqMOj1JMTFkJWSxOljsrj5x2ej1WrJ33uYjbv2kb/3MJt3HaCusQmrzU5sVDgZQ+P5ybmnM3vqWMaPSEOlUmFptfLWR6v5579XUN9o5pqLz+Hmn1yM0eC63F9bV889Sx5jy/Z8rrh4Prf/8oaAzYGEEMLtZGaq3v7U1K3rFb7bUXrcfTRqGJ4Sw5QxSWzZXX7S1VPqzBafmT0396X2/L2VPvfHRxu6LUDub/mxfZH/rOwzb29l/hk1nmPZ+6Tn1qVfdPvPr20M3ijpRKlUwXOx3eaemsXNl03w3PYu8el9DEdHGqgJMDb3TLj3CV9hcY3ne/Tu6j1cNXc08dEGn0XSgdaA9Iea8BJ09wEajYaH7ruLO//vIR5a+iwFpkJuv/kGnxxvgJSkBK7+0Ryu/pGrOHxjUzNHjlZSUVNHVU0dNXUN1JubaGhsoqmlBYvFitVmw+F04mz7z2a3U9/YxL5DpXz85VrAFYhPGjOKM6bkMHvSWH5xydmeWtlOp9OnprbT6WRv8RE++24jH372LdV1DZw6YQy/vvZyn8WSB4oPccd9D1FeUcmSe+9k/jmze/ptFEL0cyczU+U/Axwod7S7qVXwu+tc61K6a4Z99tQMsjPj2uWvuy+1Rxi1PikKs6dmBHoaESL+aw/8yzt68083iTBqPbWqNWoVYQYNjc2hW5twvIAb4GiV2dPy3nuWX6tRo9OosbatNcgdn0xZVVPA78jWwgpuvmyC54Qv75NdPtvX7yxrt0g6UGpOf6gJL0F3H2E0GHjusQd48R955L37Ad+t28TPFy3gvLlntQu+3SLDw8genuFJ5ThRDeYmCvYcYMOOXazdWsBzr78PQHRkOFPGZzMyM61t8SbUNZg5WHKULTsLKausRqVSMWNKDj+9eB7TchSfwHzLjnzu+sPD6LQ6Xnr6UU4Z174DpxBC+DuZmSr/x4YZOtcgZ8YE1x/67XsqmTh6CEermjo9W+1wQmFxDftK6k464I4M0zH/jGGAK+iYNjaJ2CijJxBzp3x4yqr14bzVwcydpvPM21tpbD7WgC7QsRwox949U1zb0NKpKy0nQ6tRYbN3/dRUBWzaXc4Pe6s8M9Xu74EtwFoDdylF74ZAna3P3Zk1IP2hJrwE3X2IVqvltpuuZ0buNJ796z95+Knnef5vr3L2zOlMP3UK48dkk5yU6BPgujkcDlosFmw2O06nE4Neh8FgCLivW1REOLmTxpE7aRy/uvZyjlbWsPGH3Wwt2MOWnYWs2bgdh1fL1iFxMUxQRnL95Rcw67SJDImLafecq774miVPPkNaSjLPPvYAqclDu+fNEV3SH8sEisGrqzNVeSsKqG3w73bX/ndfWmKEz8IugMPljT6tpfNWFLC/tN6nXXVHPvp2H61ei8LUKkiIMdLUYmvXYS8YjVrF7QsmU1hc067tdbDgoi8GFMIlNyeF+WfUHHdmFtp/lu4Tq0CpJ+6W6Z08NI/LO+AekxUXsEmPd5dYf+573alP3rP8GrWKg2X1jEiLadfoCjquCR8seO7Mcd/XvxsSdPdBUyedwmsvPs3mbT/w4YpVrF7zPcs/+QwAvU5HfFwser0ep9NBS4sFc1MzTc3N7Z5Ho1YTFRVJXEwMCQlxJA1JIHloEmkpyYzIymDU8CyMxmMVRIYOiePC2adz4ezTAbDZ7NTWNwIQGRHmydUOxOl08vrb77Ps5deYPGE8S5fcJ90l+4CBVCZQDA7eHSo788fTOyXF/fjzpw9rl18dG6nnpXvn8fhrG3xmENOTIgFXELBy7QG27ansdMANtJtNn6Ikcf8vTmd9fikPv+K77kYFxEUb2rXDdudlB7qs3pcDCBHcyc66+p+AgivY1mrU6DUqWlpPfBJFr3WljRoNGgDqzcdm4o9UNrbbPyU+nBsuyeHLzYfaqpH4fi/c5f3cs9XuWf63PzVRVFJHRW1L8NSa46wf6OvBc1dJ0N1HqVQqpk2ewLTJE7DZbOzes5fde/ZypPQo1TW1WG02VCow6A1ERIQRER5OeFgYWq3rI21tbaWpuZm6+gaqa2uprKph8/YfqKisxtHWFkqjVjN65HDOyJ3G2TOmM2b0SJ+Zca1Ww5D49rPZ/iytrTz8p+dZuforzpszi/t/ezs6na5n3hghxIDkHzx3ln9aSVyU0dMV8NFXN+BwuoKDW6+cBMC9153mE3hv2lVO3ooCT7WQrnDnjxt0Gs4/fRjgCiqumnusJTht+1TXW9rNKrrzsvtDTqrovK4GjnkrCoJ2qrTZHQxLjvE5oYwPcCLnb1RaDH++82zAdYL59qcm6s3eayDaXxmaMtZ1pXrTrvJ2AbdWo+ays0eyzy8VS04eOyZBdz+g1WrJGauQM1Y56eey2WwcKStn34GD7CosYuuOnbz65nv88413SE5KZNYZuZxx2lSmTMjpVB3tXYVFPPbnF9hVWMRNi6/hZ9dc5VmEKYQQndXVfO5Agap71lrVVn5B4/c7KTbq2O82i9XO+p1lxw240xIjaLXa0ajVlFX79kBwAiPTYvjJuYrP7J07+PfP72222AK2t+4POamiZx3v5NOg07DgXIXC4hqf7q4dBd3ux4BvSUONWkV8tIHszDiOVjVRZz5WXUSjVrWrkQ2QGGskKznac3LpPll153Xn5qTIyWMHJOgeZLRaLZnpqWSmp3L2TFcaSW1dHd+s3ciX365l+Sef8u6HH6HRaJh8yngm5Ixl9IhhpKckExcXi0ajobGxkaL9B1m1+mvWrN1AbEw0S5f83vN8Qghxorr6h3rR/HHsKKqk6HAto9Jjyc6M44nXN2H1KpRttTt8Oiz6N4Lxrqyg06iZOHoIBr2GraYKrHY7p41LZvbUjA4rlPjXH/a8jiD5vd4Btvt1uP/fmWC7o5xY0T8EKo/pf/LpNiYrjpHpsT4LaoN1d/U3PDXac4x4B9F2hxOtWs2mXeWeIDwyTEdibBgLvE4gvb8rN116rMrISx/saNe0Ju+TXeSOTw54Uikk6BZAbEwMF50/j4vOn0eLxcLWHTvZsGUbG7ds59U33/Oko/iLj41l4VWXcv1PriQyMqKXRy2EGEi6Osubt6LAk6qx+2ANLy/P9wm4wTVrt2FnKRFGLYvmjwvYCMZdWcF9O29FgScF5bsdpRwNUu7MW7BOeYFe28mUR/RvwHLJrBE+FU783x8JfvqWvBUFrFp30DOz7P35B8rlBth/pJ4r5owOenyVVDQGrXay+2CNp5mMf6OZUq+rNnaHk9EZsQxNOPb3vKOmSbUNx+pma9QqT8qLexGw9wJl4SJBt/BhNBg4/dQpnH7qFABaLBYOFh+m9Gg51bV1OJ1OwoxGsjLSUEaN8OSQCyHEyepKDqz/zGBto+9l9jCDhmaLvd2iLv+FXP63/Z+3zmzBoNN0GHjXmYNf4vd/bSdTHtG/AYs7b9y/A2J/6NA32ARLH3F//t4naDqN2hPIuiuEBLuq4Z0yFciXmw95Tsz8G824qVWwbU8ltt3lPsdSoEWP3iel4EphabIcq9YjedyBSfKt6JDRYEAZPZKzZ57OZReez+UXXcD8c2Yzfky2BNxCiJDzT0OZOiYJrcb1p02rURMZ5ruoO9jl++M97+ypGdy9cCpGvSboY06kUY3/859I3uvk7EQMOtc41Co8s5buwMwtUGAvQivYZ+D9+S+aP45ld89hwbmK53N2X63JW1EQ8PHes86BVNdb+Pi7/Sx9YzPZmYErWel1GmxtV4n8j6XjvQ6d1jeclDzuwCRqEkII0W911GDE3VK6o3rJwXKjg6W7pCdGBmyeEx9tOKGZveONu6M8be9L/hFGrWcxm3+jEVnQ1vf4fybuEpeBjp3OluDzn3VOjg9nZHoMP+ytRIWKxNgwnxnz2CgjV80d7ZPiAq4TVnd+d6CmNR29jvOmZwEnvwh4oK9VkKBbCCFEvxaswYj73xA4GPDPjXZfTvfOg/bPS11wrsJjr21sV8u7vi14OZGgwSedIMhYgvF+jf756N7PH+y1i9A40c+kMyX4/Gedy6qbqGmweHL9I4xaDpU3+gTT7oWY/jn/nT1+vV9HmEEb9PtyIk70O9AfSdAthBBiQAuWK+6fG721sKJdV0j3491yc1L43XWnsuy9bdQ2HpslHJUe61P/+0SDhkBj6exjO2o0MlCbjPRnJ/qZHO+KRaDFlxarnX9/scfTvCbYYlv/sRQW15C/t5IIo7ZTJ41At60bOJnvQH8hOd1CiH7LZndQXt1EeXUTDU2tx3+A6LfW55fy0gc7WJ8fuEJDZ/fx5p0b7Z4B7EwedG5OCnlLLmBMVhxajYoxWXFMGDXE5xL/8XJiOxoLHD9HVwxc/sfxovnjuGruaLKSo7hq7uh2Qa17e2KsEU1br3iNWuVpF2+x2j0B99ufmvjZQ6sC5oa7F3keLGvg3dV7guaP+4y1G9cNBPo+DjQy0y3EANDQ1Epzi2vleJhRS1S4PsQj6h0Wq50dRZWAq/32YHndg01nLjt35dJ0oHJohcU1nc6DXnrbLM+/b136RbvtJxI05OakMG1skk+ZQneZNzF4BDuOjzc77t7uTg/xz/WPMGp90qIC5YZ3paJOd64b6Kg84UAhQbcQA0Bzi40tpnJg8Aaf7llvGFwnHoNBZy47d/XStH9qRlfzoP2DjxkTgqd8BHO4vNHntpRdG3xONsUiWK7/1sKKdusQ/I+vrgTQ3b1uoKNUqYFAgm4hxIAgs94Dl38HyUAzyJ3Zp7O6kgfdHcGHVBsR3Xkc+wew3k1xoP3x1dVjWNYNdJ4E3UIMMN4zvsfroCdEf9CZy8594dL0yQYfUm1E9NRx7F4A/PanJurMFmZPzQh4fEkA3bNCEnQrivJT4P8AHfCMyWR6wW/7pcASQANsBG40mUyySkqITvCe8VWyAjdBEKK/6cxl54FwaVqCHtFTx/FA+H70d71evURRlDTgEWAmMAm4UVGUcV7bI4BlwDkmk2k8YAQW9/Y4hRBCCCGE6C6hKBk4D/jCZDJVm0wmM/Bv4Ar3xrb7hplMpqOKooQDSUBNCMYphOinpJSgEEKIviYUQXcq4F1EtRRI997BZDJZFUW5ADgEDAE+7b3hCSH6O4vVzhZTOVtM5Z5SikIIIUQohSLoVgPedWtUgMN/J5PJ9InJZEoAPgL+0ktjE6LPa2hqlVlcIYQQop8JRdB9GPDO5E8GjrhvKIoSryjKuV7b/wVM6KWxCdHnuWtyyyxu50iqiRBCiL4gFEH358BcRVES23K2LwdWem1XAW8oipLZdvtK4NteHqMQ/YI7oJTSgMF5p5o0mOUqgRBCiNDo9aDbZDKVAPcBXwLbgDdNJtMGRVFWKIoyzWQyVQE3Ah8pirIdUIB7enucQvQH7oDSZm+XoSUCCBSAS/AthBCiN4SkTrfJZHoTeNPvvvle//4Q+LC3xyWEGDzc9cwnjBriSdMJ1j6+oanVs49aDQ6H777e2zvTgt69v7SrF0KIwWOgdaTUAJSVlYV6HGIQmTt37jDgsMlk6kqC9Qkfsy12LTU1riqalpRwampqPP/3vu9E/93bj+srP7veHM7WghIAcidkcLTC9THq9TpaW62uN12lZmO+a5/J49LYWlDis6/39mDPYdCpUDmsns9w485STh2fQp2ma3n5TrUOi9Xp87yd0dvHqxAn6ySOWTleRa/r6HgdaEF3CsA111wT6nGIwWU/MBw40IXHyjErepscr6K/6eoxK8erCIWgx+tAC7o3Amfiqv0tK8tEbzrcxcfJMStCQY5X0d905ZiV41WESsDjVeV0OgPdL4QQQgghhOgmoSgZKIQQQgghxKAiQbcQQgghhBA9TIJuIYQQQgghepgE3UIIIYQQQvQwCbqFEEIIIYToYRJ0CyGEEEII0cMGVJ1uRVG0QDpd77YmRK+SY1b0J3K8iv5EjlfR1wyooBvXl2v/6tWrQz0OMbioTuKxcsyK3ibHq+hvunrMyvEqQiHo8SrpJUIIIYQQQvQwCbqFEEIIIYToYRJ0CyGEEEII0cMk6BZCCCGEEKKHSdAthBBCCCFEDwtJ9RJFUe4Hrmq7+bHJZPptkP1eB74wmUyv9tbYhBBCCCGE6G69PtOtKMo84FxgMjAJmKooyqV++6QqivI/4IreHp8QQgghhBDdLRQz3aXAb0wmUyuAoii7gEy/fa4BlgNVvTw2IYQQQgghul2vB90mk2mn+9+KoozGlWYyw2+fpW3bZ/bu6IQQQgghhOh+IVtIqSjKeOAz4G6TybQnVOPoTtXV1fzsZz/jpz/9KbfffjvNzc3t9lm2bBlXXHEFCxYsYMeOHQAcOXKExYsXs2jRIhYuXMi+fft6e+hCBDw2vW3bto0rr7ySBQsWsGzZMp9tBw8e5MILL+ytoQohhBD9TkiCbkVRZgCrgXtNJtNroRhDT3jxxRe58MILefPNNxk3bhzvvPOOz/adO3eyYcMG3nvvPZ5++mmWLFkCwLPPPsvChQvJy8vjpptu4umnnw7F8MUgFuzY9Hb//ffz1FNP8dZbb7F9+3Z27nRdtPrwww+54447qKmp6e1hCyGEEP1Gr6eXKIqSAXwIXG0ymb7o7Z9/PB988AHvv/8+DoeD2267jdNPPx2ATZs28eyzz/rsu3jxYubOneu5vXnzZm666SYAZs2axdNPP83ixYt9ts+cOROVSkVqaip2u53q6mruueceoqKiALDb7RgMhh5+lWKgOJnj1VuwYzM+Ph6AxsZGWltbycx0Lb+YOXMma9euZfz48cTExPDGG29wzjnn9OArFUIIIfq3UCykvAswAk8riuK+7yXgYuCPJpNpUwjG5CM6Opq//OUvPvdNmzaNvLy8Dh/X2NjoCZ4jIiJoaGhotz02NtZz271PVlYWAPv27eOJJ57ghRde6I6XIQaJrh6v3oIdm95Bd2RkpM/2Q4cOATB79uyTGb4QQgg/eSsKWL+zjNzxySyaPy7UwxHdJBQLKX8N/DrAppcC7Lu4xwcUwPDhw9vd15mZw8jISMxmM0ajEbPZTHR0tM/+7u1uZrPZE6SvW7eOJUuW8OSTTzJixIjufDligOvq8XrTTTfR1NREdnY2WVlZQY9NCHzs+h/fQgx0DU2tNLfYPLfDjFqiwvUhHJEYiPJWFPDuatdSt4Nlrsk7CbwHhpA0x+nr1Or2qe6dmTmcMmUKX3/9NZdddhlr1qxh6tSp7bYvXbqUG264gbKyMhwOB/Hx8axbt45HHnmEl19+mbS0tG59LWLg6+rx+te//tXz7/z8/IDHpltkZCQ6nY7i4mIyMjL49ttvufXWW7vvRQjRDzS32NhiKvfcnqIkSdAtut36nWXtbkvQPTBI0N2NfvnLX3LPPffw7rvvEhcXx1NPPQXAk08+yfnnn8+ECROYNm0aV199NQ6Hgz/+8Y8APProo1itVu69917ANXP54IMPhux1iMEnJycn4LG5du1aNm/ezK233sqSJUu46667sNvtzJw5k4kTJ4Z41EIIMfDkjk/2zHC7b4uBQeV0OkM9hm6jKMowYP/q1atJT08P9XDE4KHq6gPlmBUhIMdrF5VXN7Wb6U6KDw/hiAaNLh2z/fl4lZzufi3o8Soz3UIIIYQQfcii+eMk2B6AQtYcRwghhBBCiMFCgm4hhBBCCCF6mATdQgghhBBC9DAJuoUQQgghhOhhspBSCCGEEIPa+vxSthZWMDk7kdyclFAPRwxQEnQLIYQQQXh3obRY7SEejegJ6/NLWfrGZixWO59vKObuhVMl8BY9QtJLhBBCiCDcXSi3mMqx2R2hHo7oAVsLKzwnVBarna2FFSEekRioJOgWQgghxKA1OTsRg04DgEGnYXJ2YohHJAYqSS8RQgghxKCVm5PC3QunSk636HESdAshhBBeJI978MnNSZFgW/Q4CbqFEEIMOt6BNUCYUUtUuB44lscNoGTFhWR8QoiBR4JuIYQQg453YA0wRUnyBN1CCNETQhJ0K4pyP3BV282PTSbTb/22TwJeBqKBNcDNJpPJhmEiI4gAACAASURBVBBCCCGEEP1Qr1cvURRlHnAuMBmYBExVFOVSv93eAG41mUzZgAr4Re+OUgghhBBCdCRvRQG3Lv2CvBUFoR5KvxCKme5S4Dcmk6kVQFGUXUCme6OiKFlAmMlkWtd216vAEuAvvTxOIYQQQggRQN6KAt5dvQeAg2UNACyaPy6UQ+rzej3oNplMO93/VhRlNK40kxleu6TiCszdSoH03hmdEEII0Tk2u4Py6ibAdyGmEL0lb0UB63eWkTs+udcD3vU7y9rdlqC7YyFbSKkoynjgY+Buk8m0x2uTGnB63VYB0gZMCCFEn2Kx2tlRVAnIQkzR+0I905w7Ptnzc923RcdCtZByBvA+cLvJZHrbb/NhwLtYZjJwpLfGJoQQQggRKuvzSzvVqCfUM83unxWqmfb+qNeDbkVRMoAPgatNJtMX/ttNJtNBRVFaFEWZYTKZvgMWAZ/09jiFEEIIIXrT+vxSlr6xGYvVzucbirl74VRP4O2fStIbM83HS19ZNH+cBNsnIBQz3XcBRuBpRVHc970EXAz80WQybQKuAf6uKEo0sAV4LgTjFEIIIYToEYEC2q2FFZ4uqBarna2FFeTmpHSYStJdM815KwpYte4gTpycP30YgCyU7GahWEj5a+DXATa95LXPduC0XhuUEEIIIUQvCRZET85O5PMNxVisdgw6DZOzE4H2qSQr1x3wBNvL7p7TreMBV7AdE+G7RkEWSp486UgphBBCCNGLguVj5+akcPfCqe1yuv1TSerNVurN1m6bgfYfD4DTp6aFLJTsDhJ0CyGEEEL0oo7ysXNzUtotoPROJaltsFBnbvVs644ZaP/xAJ4UE1ko2X0k6BZCCCG6UUNTK80tNs9tqeEt/HUlH9u9aNE/FaQ7ZqDdP987p3vR/HGszy/F3GIjOzOuy88dylrifY0E3UIIIUQ3am6xscVU7rktNbxFIF2t/NFTpfr8x9NRJZXOCnUt8b5Ggm4hhBCDnnd3SXf1CCH6qs4E7Cc7wxysksqJCHUt8b5Ggm4hhBCDnnd3SSWr65fShegLumOGOVglFW/Ha+QjXSt9SdAthBBCCDGAdDTD3NmOl8EqqXiesxPpJ9K10pcE3UIIIYQQ3aijwLY3FhYGm2E+0TztQJVU3DqbfiJdK4+RoFsIIYQQopscr5V7bywsDDbDfLxAubOz4HkrCtiwsxSNWoXd4QyafiJ8qUM9ACGEEEKIgSJQYOsWKO2jpyyaP45ld8/xCeonZydi0GkA2gXK7pOFj7/bz9I3NrM+vzTg87pPHCpqW7A7nIxKi+lSZZPBSGa6hRBBNTe38J+PV7J24xaK9h9EBSQnJTJ10gQuOn8emempoR6iEH2CVD8Rbh0tQOzuhYXBUlWCzVh3lKfd0Sx43ooCvtx8iJgIAxW1zT5jsNodEnB3kgTdQoiAvvp2LY898yLVNbWMHJ7F9GmTUavUHDh0mLx3P+C1t//NvLNmcvvNN5CUmBDq4QoRUlL9RLh1FNh258LCYKkqgdJbCotrPEHzgnMVbr5sQrvnC3ay4P1zKmpb2j2upqGFvBUFkrfdCRJ0CyHa+d/Kz3noT88xZvRInnzgd0zM8f1lWlVdw9sf/I+33l/O9xs389tf3cz8c2aHaLRCCNF/nOjCwqCz2UEqlPjPWL/9qYmikjrAFTQ//MoGEmONzJ6a4fN8wU4WjpcCU2+2eoJyCbw7JjndQggfPxTs5pGnnue0KRP52zOPtwu4ARLi47jl59fy1svPM2p4Fvc//jR/fOwpGhvNIRixEEL0HZ3Nje4M9yzzwbIG3l29h7wVBZ5t/qkp7tv+edt1Zku7562obWn3fOAKvG++bILP7Hx6UmSnxuofnOetKODWpV+0+xmDmcx0i4BsNhsajQaVShXqoYhe5HA4eOyZF0kcksDjf7wXo8HQ4f4Zaam89PRjvPKvd3k5723Wb97GbTdezwXzzkatlnN6IcTg0x2dHN06qrcdLFXFf8a6sLjGMxMd6Pn9Z6fd+eC1DS0UFtdQXX8saE+JD+fMyWmYW2zUNrTw3Y5jJxTeJwH+qS8lFY3ce91pXXoPBpKQBd2KokQD3wMXmkymA37bLgCeaLv5A3CTyWRq7N0RDjwOh4PDR8o4eOgwFVXV1NXVU9/YSENDIzV19VRWVVNZXUNtbR2tVisatZr4uFimTMzhvDlnMXP6qRKED3BffbuWPXv3s+TeO4mMjOjUY7QaDb+49ifMnH4qjz/zIg888WfefH85i666lDlnzkCv1/XwqIUQou/oTCfHzlifX4pO4zt50dDU6tnmDqqPl9KxaP44SioafQJkN//Z8rwVBbz/ZRF2hzPgc00ZO9STN761sIIZE1I4XN5IelIk5hYb6/NLyc1JaXey8N2OUvJWFGBusR23HOFAFpKgW1GUXODvQHaAbbHAa8DZJpOpQFGU3wKPArf17igHBrvdznfrN/Ppl1/z/YbNNPhd/jfo9URHRRITHU1CfCzDszKIj40lPDwMq9VKSdlRNm7ezqov1jBh/Fjuu/NWRgzLDNGrET3trff/S1pKMufNmXXCjx2bPYpXlv2Jz776hr+9+iZ/ePQp/hz3DxZcehFXXDKfqMjOXaIUQoj+7HidHDvDezGkt+p6Czc//jmVtS1BG9wEWkiZlhhJYqwRq81BbWOrZ98dRZXcuvQLcscnk50Zx7+/2EOQeNtzAvH4axs8AbxBp+GSWSNYvmaf73j8qrQAnufuqClPbzQOCqVQzXT/ArgFyAuwbTRw0GQyuZOAPgJWIkH3CWlpaeHDFZ/yr/c+pKy8grjYGM6eeToTx49lxLBMEockEBcbg0GvP+5z2ex2/vvJZ7z0yhtcd8ud/OoXi7nykh/JrPcAs2fvfrblF3DbTdej0Wi69BxqtZrz5pzFOWefyfrN23jz/eW8+M88Xnv73/zo3Ln85PKLSU8dnDMcQojBo6NOjp3hnaLi70iFGXdcHCh9paOFlP52H6wBXCkgo9JiggbcyfHh/PySHAqLa3xmzC1WO+t3lvn8vJVrD3D/L073mV1Xgee5g6Xc9FbjoFAKSdBtMpl+DqAoSqDNe4AMRVEmmkym7cBVwMkVshxEnE4nn331Lc++9A/KK6uYlDOOO355A7POyEWr/f/snXdA1PX/xx93BxzH3ltABU4QJwqaA3duc5alqVlZZmaWplk2LM2sLG2oaWquNFMzt7j3wIEIHHuPY28Obvz+ODnZ+U37SXWPv+Cz7vN5c3c8P6/P8/18/bU/t4FIxJjhg+nVrSuffLmaFavXciX0FovmzsLG2uoRX4Gex8Wu3w8iNjJi5OCBD30soVBI966d6d61M7LYeLbv3seeA0fYvf8Q/Xp1Z9KEMbRtU+9Blx49evT8p2isslvTolIXF3tTXaXbQCQkK7dUZ+uou6/YUER6zoO5cxMyCnUdJusS4OtIkL8zWw5H1lsX1NaJtOxSlCo1ALdjcrgSnsGCKYFcCc+oJ/pFQkGDlpum/Ot/heZYNW92M51kMlkB8DywTiqVXgPSgcqm99IDUFhUzPwPlrLok8+xtrJk7cpl/PjNcvr17vGXBXdN7O1s+XrpB8yd+RIXr4YyZsoMtv26D6VK3wjin05GlpxDx04yeEAfLC3MH+mxpV6t+GjBXPZvW8+kCaO5dP0mU197i+dffZP9R0KorKx6pK+nR48ePf8Emkwm8XdmVO9WCO89UBYAIiHYWIgxEAnp4utAlzYOCIDrUXJWbA1ly6EI1uwJA2DepACG9WhJF18HyhQP9j9apUbXYbJNnaz5G5FZWmFfxwPeo70zk4f60dHbTresSqXWdeEM8nem6p4Yr8bGQtzgU4DG0lj+Ck2N7eOk2aWXSKVSEZAqk8mC7v3eFYh7vGfV/ImKjmX+h8vIzs3jjRkvMHHsyL9sEWgKgUDAxLEj6d61Eyt/2MDXazZwOOQUb896mY7t2j7y19Pz96NUqVjyxSpEIhHTJz3d6HbxKels3nOUyPgkVCo1lmYmSIyNUavVlJZXUFpWTmWVEomxGAdbK/y8POnW0Y9Oft4IBALs7Wx5/aWpTJs4nkMhp9hz4AhLVnzD9xt+ZuKYkYwdORQzU5P/xyvXo0ePnsfDlfAMDl1MrL2sTmW3tEKps2RogJbOlsSmFZJXpCApsxiBADQ1LBvVEyCrPdOvjGnPrBUn/+dzq1Kp6wnljLwyVmwNZd6kACb0965XQRYb3dcbf9aFs29AiwZf91E2DnrUVfNHRbMT3WjfW8fuTbZMB+YCOx/vKTVv9h48yorVa7C2smL9N8v/p8f2SqWKzJw8CotL0Wg0WFmY4WhrjaFh028NT/cWfLPsQ06cucBXP6znpTkLGDV0EHNema4XTv8gNBoNK1at4dqN27z31us4Ozo0uN3+Exf45PstGIuN6NquDUaGBhSVlFGuUCAUCLC2NMfdxQEDAwPKyxWky3P4ee9RNv52GHcXR6aMfpJhfbojEgkxMzNlwlPDGT9qGFdv3GbLzt/4dv1mtuzaw6wXpzByyEB93KAePXr+tTQ2SbJuZbeuTaRu3ramhgtEKEBnC6npmW5oQuOfUVxWyYCu7vX2qz7uK2Pa1xKwWw5F1PJ5d/F1+MtdOKsbB1VnfP9V8V33uh+mav4oaTaiWyqVHgIWy2Sy61KpdAbayZNiIARY8VhPrpmSmSVn5Q8bOHnuIt26dmbJwrewsrRoch+NRkOYLJ5Tl29y466M6IRUVOrad7QGBiJ8PFvQpZ2U3l070M6nZaMiqH9wD54IDGDdz9vZvvt3rt28zUfvvKmvev8D0Gg0rF63iT0HjjB14nhGDR1Ubxu1Ws1Puw/z464/COrgy5I507GyeLAUkrLyCk5fucUvB0+y5Luf2XHgBPNfmkgnP29A+9QkKKAjQQEduRsVzTdrfuLTr77lyIkzfLRwLo72dn/yCnr06NHzz6PuJEkziSFDn/CsJy6rU1COXEoEtNXk7IL6sX8GIgFj+njpEkRqVpprCl6lSk1a9p83MMsrUhAWm1NvefVxa8YVngpN4WKdKMJUeX0Pec0unDX3byzB5GEnVD7Kqvmj5LGKbplM5lnj56E1fj4IHHwc5/RPoLComN37D7Fpx69oNBpefWESzz8zDoMm7CSl5RUcPH2JXYdOkZSWhaGBAe3btGLSU4Nwd3bA5p5YzyssIiktkzvR8Wzbf5yf9x7F0c6agT260K9bZ9p6e9YT4BKJMW/MeIE+PbrxwWcrmTH3XV6Z+hxTJo7TVyybMZu2/8qWXXsYO3IIM6dPrre+rLyCz9Zt5/CZKwzuHcjCGc9hIjFu9HhlFQqikzPJLy5DJBQgdXdmaJ9uDAkO4uSlG3y9aTcvv/cFI/v34I0pY7GokQPeto0Pa1cu448jIXzx7Tqee2k2n74/n6CAjn/LtevRo0fP46JuBXvOM5202daNiNE7cbm6bXu0d+amLJsyhVK33svNqp7IbKjSXLNBjonYoNYx6hKbWlBvWRdf7ZPQ6ir94YsJDaad1Kwq172mhuIM6wrvR2UNqSn0mwvNptKtp2k0Gg3hkTJ+++MwIafPo6ispE/P7syd+WKjlgCAnPxCtu0/zt7j5ygtq8DPy5PFs6bQN6gTZqaSJl+zuLSM89fvcOzCNXYcOMHW349jb2NF36CODO3THT8vj1qxgR38/di27huWfvUd3/+0hUvXbvDuW7PwbOH2yMZBz6PhzIXLfP/TFgb378P811+pF/94+VYES3/YSkZ2Lq8+O4ppY4c0GBGZkJ7NqdBIzt+O5m58aq3HnQBebg5MG9Gb/t068URnf9bvOsC2/SFcvhXBh7On0rVdG922AoGAkUMG0rFdW+Z/uJQ5737EknffYkBwz79lDPTo0aPn76QhEV29bFTvVrUaxTQmRuvG/2XllmFvLaG4rFLXKTIqKZ95q84Sl1pIlUpNenYpPu7WRCfn60R4XSGrrOPZrouXm5UuTrCaVHlJrfNpLF6wmpqNdqqv6UG6dTZXa8ijQC+6mzkFhYUcDjnDH0dDiIlLwEQiYfiT/Rk7YgjerVs2ul9KhpwdB06w/8QFqpRKBjzRhYnD++Pv0/g+dTE3NWFIcBBDgoMoKinlfOgdTl2+yb6Q8+w6fBrf1h5MGzuEPkEddYLM1MSETxa9TbcunVj5w3qemT6LAX16MnRAX/x9pViY6xukPG7SM7P44LOv8JV6seitWbWeRuQWFPHd1r38cfIinq5O/PjpPDr6eunWK1UqwmJTOH87mgu3o0lI1z6C9GvpwgsjetO2lRv2VuZUKVWEx6Wy98x1Fv2wmz1tPFkyYyyvPz+Wft0DWPzNT7z24ddMGzuEGc+MqHUO7m4urP96OW8u+pj3PlmBAAH9g3v8/w2QHj169DwkDYlogGWbr6FSaxAAdlbGmBobNCiuv/7lJkOfyK9VFRcJBX+atw3aiZDVrwNai0bdNJJKpRoziQESsQGWpmKeGSRl98kYYlLyMTdpuH9HdQOdxqIMq6muqNdstFMtsE2NDXSxhI1162yu1pBHgV50N1PiEpPY9us+jpw4TVWVEl8fLxbMmcng/sGYmjQ+UTE2KY2fdh/ixKVQREIRg3sHMm3sEFo4166Gl5RVkJCRTZo8n9IKBQIEmJsa42pnjYezHaYSca3tLcxMGRrcjaHB3SguLePouWts/yOE+Z+v4YnO/iyc8RxO9jaAtmI5YvAAugcGsGXnHvYdPMrRE2cAEIuNsLW2ws7Wlu5dOzNsUL8mK/V6Hi0qlYoPln0FwGeLF2Asvv93Pnn5Bkt/2EppeQXPj36Sl58egfheC/eE9Gz2ngnl2OU75BWVYiAS0knqwbh+gfTp3AZ7a609qUqpQqlSY2xkgH9rN8YPCOSPczf5avsRnv9oLSvnPEdbb0+2frGILzbs5Kfdh0jNzGbxrCm61wIwMzPlm88+5PV3PuC9pV9gbm5GYOcO/48jpeffSHFZJeUV2kfqTYmGR41SpUaeVwaAxNigUVGjp3nzZ17kmjRU0ZUl5umEsAbILqhg14kYjl5Owr+1LYYioS41pKS8il0nYpjQ31tXIb56N4PsgooHOte6WdvxDYj1knIlRoYiVs7tw5ZDETrhXlBSWatrJYCzjYlO/FafT0FxRYOt5QH+OB9fqxIuEgowNTbg97PxqNQahAIY1btVo+PYHK0hjwK96G5m5OTl882anzh68gxisRGjhgxi7IgheLXybHK/21FxbNpzmPPX72AqMWbSqEFMHN4fO2tLACoqq7h6N45Ld2K5IUvUVSgbQiAADyc72rZypb1XC9p7u9PS2U5XjTQ3NWHc4GBGD+zFr0dO8/22fTw/bylfvzcLP6/752lnY82br05nxtRnCY+MRhYTR25+PvkFhaSkZbB20za27NzDpu++pKVHwxFCeh4tm3bs5lZ4BB++8yYuTo6AdrLkD9t/Z9OeI/i2duejN16gpZszKrWak9cj+OX4ZW5FJ2NoIKJnBx8GBvnTzb81ZhJjcovKuBqdxvWYm9xJzCI1pwiVWoORgYgefu483bstTwUH4N/KjTe/3sYrn23k23nP07aVG+/NnIy7swPfbt2LorKS5fNeQSS6X/E2kUj4euliXpqzgPkffMqaL5fSxsersUvTo+dPKa9QckMmB0Bap/L3d6KoUukmpnWWOuhF9z+I6gYrbg5mXI+UN+lFrkld33YnH3uu3m1YoBaWVnIhLEOXyV2Taj9zkL8zcakFDyy661KpbNhOklek4LPNVwmPy21yf1cH7VPqmg1nOvm0ICu3jMJSBbmFFbVEtkqlrWQrqlQIBTC2rxelFcpa1pTSisY95f9W9KK7GXHmwmWWrFhFeUUFk58ew+QJY/40jeR2VBxrf9nPtbAoLM1Nefnp4UwY2g9Lc1NUajWX7sRy6OJtzt6MolxRhURsSGepJ092a493C0dc7a2xMJWg0WgoKi0nRZ5HXKqciIQ0LobFcPDCbQCszEzo4tuSvgG+9Orog7HYCJFIyDPD+tG9U1tmf/wNryz+iq8XzaJz29qRhSYSCYGdO9SrVCampPLynAXM/3Apm7//ChNJ0x5zPQ9H6K07rNu8nSf7BzN0YF8AVCo1H327icNnrjB6YC/mvfgMBgYiQq7dZd3eUyRm5OBib8Vr4wYwslcnLMwkhCfK2XwijEuRKcSk5wFgYSKmQysn+nVohanYkMyCEkJuxnMqLIGJwf7MGhHE+kXTmfHZRt74aitrF0yjtZsjU8YMRiw24ssNO1m56Vfenl47J9zczIxVyz7ixTfm88bCj9iwegVuLv8ef58ePXqaLw2laEDjXuSaVCeP1KyMRyfn15rMWJfGJiVWV9gzchpOHjE0EDA62Is9p2JR/pnRugFCo+QoKpt+8iM2EvH0uwd1ky+TMosRoK3Yiw1F+Lhb17K42FtLmDa8bb1JlHVvRP5r6EV3M+HMhcu88+EyfLxb8fGCuXi6N135jYpL5ocdv3PxRjg2lubMmTqOMYN6IzEWU1JWweaD5/jt1HUycwsxNzFmcLf29OvqR2epB4aNdKe0t7agtZsjfTr7AtrJmylZedyOSSY0KpErd+MIuXYXSzMJU4f1Ylz/rogNDfFwcWTD0nd49YOvmLvsO9Z/Oh8vD9c/vWbPFm58smger817j/2Hj/PMmJH/+8DpeSDSMjJZuGQ5LVydeffN13Qe/NVb9nD4zBVemTiSF8YNRZ5fxLJNf3DxTiytXO1ZNnM8fQJ8SckuYtOJMI7fjCO3uByRUECHlk7MHNaVIKkbPq62COuUaV4fEcTqP66w40w4GfklfPp8f76bN4WXlm5g7jc72Lz4JazMTXlmWD/Ss3LYceAEPp5ujOxf27/tYG/LquUf8eLr83lt3iLWrvwMJ4f/3pe1nr/G47KU6PnnU3fyYTUPKhiD/J0bTBE5FZpClVJNZZW6VoJItYit+XtYbE6TQh2gSqkhLDbnLwlu0NqfmtrTQCho0EZSvY+iSoWZxLDWurTsUnafjGFcP+9a3Snr3ojU5UEtPP+L1ac5oRfdzYDI6FjeXfI5bXy8+G7FkiY92zn5haz+eQ+HzlzG0syU1yePYcLQvhiLjahQVLLxwFl+PnSB0nIFXXxb8sbTg+jVUYrRvWY3iiolyfICCkoVKKq0H3YzYyOszSXYW5ogqjGhTSAQ4O5ki7uTLSN6dUKlVnMjKpGfD13gm53HOHwpjC9nT8TR1hI7G0tWL36DaQs+440lq9iw7B2dx7spAjt3oJWnO2cvXdWL7r+J4pIS3lz0MUqlki+WvKd7ovB7yHm27T/OhCF9mD5+GLKkDGZ/uYVyRRVvPTuYcf0DiUnL4+31x7gYmYKBSEgPvxYM6Nia7r5umIiNSMsvIyW3hH2hyRSUaT2ADhbGdPSwwc3GlHlje+BmZ8HX+y7z6S9nWfxsMCtef4YZyzayaM1uVr01GZFQyOwpY4lNTmP5uu20dnehrXftCb+eLdxYtfwjZs57j9nvfMDalcuwtrL8fx9LPf88HpelRM8/n7opGj3aO2NlbvxQQs/H3bpWnnYbD2tS5SV08LYjOjm/ln1EA/USRBojOvnBtmsIpaq25K4r/tV1Y6kaoKFs7qikfN2EzpqWnMbG7kHiBP+X7ZojetH9mNFoNHzx7TrMzEz5eukHjQpujUbDvpDzrP55DxWKSqaMGczU0YN1sX8XbkezfMtBMnML6d1Jyosjg2nj6UJJRSWnwhK5HJXKnSSt57axz49IKMDNzoKWTtZ4O9vg7WpLGzc7HKxMEQgEiIRCuvq1oqtfK87dkrF43R5e+GQ9axdOw83BBid7G1a9P5uX3/uC2Z+sYv2n82plMTdG107t2X84BJVK9be0rv8vo1QqWfDRclLSMlj12Ye6+MaI2ESWr9tBt45+vPnCBOLS5Ly24mdMjI1Yu3Aa9taWLP/1Ar9fjsLCRMzLQwJ4qlsbMosqOSfL4tdt14nOLELRiE8QoKePA68NaMPE4HaUKapYdziUFvYWvDCoM/MnD+OTjfvZdOAc00cGYyASsXTuS0yZv5S5S79jw7J3cHOqXUnyk3rz5ZL3eGPBh7w2/33WfrUUczN9Go4ePXr+Hh5lika1F9pQJKw1wTI6OR+1Bq7ezSKwrWODzW8ehL9W436wYz1IAT27oAyhoP62dbtkRifnc/RyEho0DO5WuyHQg8QJ/i/bNUf0ovsxc/n6TcLuRvLu3FmN+rfLyitY8t3PhFwMJcDfhwUznsPTVetrrVIq+XrHUX49eY2WLvaseWcqndt4kppTxGe7znHoegyKKhXWZsa0b+nIk529cLW1wNrMGGMjA9QaDaUVVeQWlZGeV0yyvJC4jDzO3EnUiXN7S1MCpa4M7NiKIKkbQqGAXh2lrFs4jVeXb2bOym1sfP9FzE0keHu6seKdV3l9yTe8/vEqvvtgzp/mgftJfdi59wBxicn4NBGDqOd/Z+2m7Vy9cYv3571B105aT31BcQkLv1iHrZUFS+ZMp0qpYv7qXzA0EPHD/CmIxca8sPJ3krMLebZPO6YN7MSFmGxe33KN+OwSRAIBfq6WjO7igZejOe62pjhZmWBjqp0clpJbyumoTLZdiGfK2vO8Pawt0wZ0JCW7kLWHQ/FwsGJEr06ERiXy477TdPB2p4tvS6wszPjm/dm8uPBzXvtwJd9+MKde6k5Ah3Z8sWQRby5awlvvf8Lq5R8jNtJPStOjR8/fw6NI0ajpDa+JgPsitUqlRlGpoo2H9QNXt2vyAMXovxWVGoRCAQYCGrS5iIQCbkXLa3XE3HUihrTsEt1kTB93a93ky6YsPA1NUv2noBfdj5m9B49gZWnB8EH9GlxfWFzK7CWriIpP4vXJY5g0aqAuRSSnsJj5q3cSHpfKs092Z+bY/qg1sHr/FX45G45QIGBIF2+GB/rg7+FQz3PbFOWKKmIz8ohKyeFW/zFoywAAIABJREFUQiZnwhI5eDUabxcb3hjVja4+rni3cGLF7GeY+flmFq/bw5ezJyIUCunSTsryeTOY//kaZn+yitWL38C0iU6GHfy1HvJbdyL0ovsRcjs8gs2/7GbUkIGMHDwA0E6cXPTlerLzCln3ydtYWZixYstBUrLy+H7+FMxMTZix+g/khaWsfnUo9tYWvL7lKrKMIrwdLVgwoh39/Zwxr+Pfq0lLB3NaOpgzqrM7H+65xdL9d0jILmHB+J6k5RTz8Y4zuDtY8s7zw4hMTOe9NbvZ8uEM7K0t8HR1YtXi2bzxyWqmL/ycr959rV62fLcunflowVze+3QF7y/9gs8WL9B3PtWjR0+zo7q6XVCsaHC9lZkR+TWi+bRWltqC1cLUEAECCksrae6o1Roae/YpNhQ22IK+plc8uyCjUQtPXQ/3n3nDmyt60f0YycrO4ezFqzwzZgSGhvVFTIWikjc/XU1MYiqfz3+V4MD76R9p8jxmfbGF3MISls0cT/+ubUnPLWLBxhBkabkMD/Rh5rCu2FqYoNFoSMgu4U5KPmn5ZeSVKKhSqTEUCTGXGOJkKcHV2oRWDuY4W0kQCARIxIa083Sknacj43u1pVKp4uTtBNYdvs6sHw7xytAuTB3QkU4+HsydOJgVWw+x7eglJg/RToLr3bUDS+e+xLtf/sjby77n6/der5XDXBMXJ0dcnBy4cOUaE54a9vcM9n8MjUbD12t+wsHelrmvvaRbvv7XA1wNi+T9157H36cld+NT2X3qGk8PCKKLb0sWbAwhNaeIVa8MRS005IUfL2AoEvLx2I509LAlJCqHpUdjSM0vR6nWYCQSYmtmhJ2pEXZmRlhKDHE0F+Nha4KnrYSVkwL5+kgEOy4lUFhWySfP92f6N/uYt/4YG+c+xbKZ43nhk/XMWbmNtQumYWZijJ+XJ+uXzmf2klW89N4KXp88honD+9fqiDmoby9ycnNZ+cMGNu/YzbTnJjyOYdajR4+eBmmsul0TRVVtiZpdUF4vNrBdazv6BrRg/e/hyPPLHsjq0Tx5sKLfnbgctn08tNayxjzc/ySxXY1edD9Gdv9+CI1Gw/hRDQvNL3/ayZ3oBD57++Vagjs+Tc7MzzejUqv5fv4U/Fu7EZmSzRtrD6NWa/jyxSfp2dadUoWSTWdj2X8jmfSCckA7C9nGTIyRSEilSk1hWWUtX66p2AAvR3O8HS3wcbbA18WK1g7mGBmIGBzgRZ92nizbdY41h64jLyhl/rgejOvXldCoRL7fHUKHe7neAP26d2bx61P44JuNfLhqI0vfeqnBVuICgYCBfXuzdecesrJzcLS3e5TD/J8k9NYdwiNlLJwzUzdxMvRuNBt+PcSwvt0Z2b+Hdj7BtsPYWJgxY0xfzoUncSosgZnDumJmasLLP13C1dqEpRMCOHhXzucnQlFroJWdCd4OpogNRJRXqcgtqSQ8vYjc0kqqakzIcbUyZpCvA6/2l2JtasS6U9GIhAKWTxvIq98dYMHGEFa/OpTls57mza+38/aqHXw151lMjMV4uDjy8+fv8vG3m1m58VdCw6N5f9bzWNXoaDpx7CgiZDGs2bSNDu386Nze//99nPXo0aOnIRpKPqnreW6oFXtdUa2oVNXqLvlPpW5ykJGBkK5+jvVSUQQNiPN/soe7LnrR/ZioqKhg74Ej9O4eiKtz/dzhM1dvse/4eZ4f/ST9nwjQLa8W3AKBgHULX6Cliz2RydnM+uEQ5hIjVr86lBb2lhy7k8Y3RyPJLVEQ4GnL1N5edPSwxc3apJbNRKPRUFBWSUpuKXHyYmKzionOLOLQ7TR2X0sCwEJiSE8fR8Z0dcffzZoPn+uDvaUJW06GYW0m4eUhAbw3bSTRyRks/P5Xfv5wBraWWnE0NLgb8twCvtu6l85tfRg/pE+D4zF62JNs372PdZu28/682Y9wpP+bnDp/CbHYiGFP9gdAqVTx+bodONvb8M5LEwE4eT2Cu/FpvP/CKEzEYtYcvk4LewvG9PBj2o8XMDc25KOxnfjoUDSJuWWMaOfIhC6uuFo17NHXaDSUV6nIKFQQmVnMmegcNl5K5vfbGbw90Ivpwd5sOBOD2EDEoqd7s3jrKZbuPMsHz/bhwxdH88G6Pcz6Ygtfv/kcFqYSLM1N+WLBq/xy8CSrf97DpLc+4auFr+HTUhunKRAIeHfuLMIjo/n0i9VsX79a7+/Wo0dPs6Bu8gnUF9TGYlGDTWuqxbnYUER+seIfL7hBO6HS2cYEpVqtazsf5O/MvFVna3nYne1MWbMnrJZt5J/s4a6L3gj5mDgUcprC4mKeGVs/Jq+svILP1+3A28ONV565vz4xI5uZn29GKBSw5p2ptHSxJz4zn9lrD2NhIuaHWcNxtjFnxcFwFv92C0dLCetffILvpnZjZGd33G1NEQoFaDQaFEoVlUo1AoEAa1Mx7d1tGN3Fg3nD/Plx+hOELBjErtf78MHoDvT0ceR0ZAYvrr/Igp2h5BQreG14ICOCfNhw7AYhN+MwMzHms9eepqi0nA9/3INaff+L5PmnBvFEZ3++3vQrqZnZDY6Hq7MT40cN54+jIdy6c/fRD/h/jOu3wgjo0E4nQk9evkF8Sjpzpo5HYixGqVTx7a8htHZ1YMgT7Tl9J5HY9DymD+rM1gvxpOaVsWBkOz47FktmUQXLR/sxqqMzJ2XZfBkSy7en4zkpy6a4RkcxgUCAiZEBre1NGd7OiRVj/fn2mfbYmBqx6PdIxBJjnu3ekt3XksgqF/DykAAOX49lzaHrPNmtHctmjicqMZ2Xlv5ERk6B7pgTh/dnw7L5aNQaXn7vC25G3H9kayKRsPDN10hOS+eX3/b//w6yHj169DwEg7t54uVaP/pUrdE2vOni6/CApozmhYFBw2edmVdGfnElsWmFrNgaypXwjHr53tHJ+Ry8kKBbD/fzvYf1aPmPigdsCL3ofgxUVVWxafuv+Eq9GnwkvmnPEeR5Bbwz41kM7+VrZ+YWMGvFzwB8P38KHs52ZOaXMHvNYQxFQr59dSh2FqYs3HWD364l8dwTrVj3Qnf83awpr1JxIiqbJQdlPL8plEGrLjFk9WUGr77E4FWXmLLpBu/9Hsmmi8lcis8jr7QSoVCAu60pQzq4sXh0B/54awCv9JNyKUbOpB/OEpleyILxvWjv6cinO8+RJC/Ax92JNycO5srdeLYeuai7HqFQyKJXJyESiVi58ddGx+XlKRNxcXLkg8++oqS07BGP+n8HpUpFcmo6Xi09dcuOnL2Kg621zqZ08OJt0rLzmTmuPyKhkA3HbuBub0n7Vi7suJTAkPaunIzOJymvnMXDpFxPLmDhvggO35WTXlBOeHoRa88lMmP7LVaeiOWkLJtbqYWci8lh7610Nl1KZu+tdKpUalY97U//NvZsupSCWCJhQFtnvg+JooWzI6O6tWFTyC1+ORNO3y5+rHprMtn5RUxb8iN341N15+/b2oONyxdgZ2PJW8u+JzH1/qPboICOdO/amS279lBapn/f6NGj5/FT115iaWqE2PB+JK6NhZjJQ/14ZpC0wf2rlBouhGWQU1j+t57n34FSqcFEXD/+V8N9S42iSsVX229wPUquW1/TflNtI6kmyN+ZV8a0Jzo5n1krTrLlUES94285FNHouuaC3l7yGDh78SoZWXLenjWjnsdZnpvP9j9CGNw7kA5tWgNQWFLGG19tpayikrULp+HpbE9+STmv/3CIckUVP8wajqO1GYt+vcE5WRZvD23LuEBPlCo1u0LT+OVaGgXlVdiaGuLnbEHP1raYibVxgcUKJZmFCpLyyrickKd7w9uZGSF1NKONkxkB7lb4OJoxtbcXfXydmLvtKrM2X+GbyYF8MqUfk1bs4ePtZ1g3ewSj+wRwOTyWH/edZmCgP852VgA42Fozbcxgvt/+O3djEuo1PwEwNTHh44Vv8dKcd/jyu3V8MH/O3/uH+JeSn1+AUqnExdkR0No+bkREM7hXIEKhEI1Gw87jl/Fxd6JnBx8uRqYQm57H4onB/HQ2FoBAHydWHI9jarcWHIuQczejmNEdnBne3gkzsQEajYbE3DLOxeZyJiaHywm1I66MDYVU3Jsk5G4jYfoTHpgYidgZms70Hu7kFCv49Pcwvp/ajcKyClbuu4S1uTFPdvZi/aLpvPXNDl5ZvolPZowjuHMbQPseWvX+bKbO/4wFX6xly4pFupvSFydPZPrseRwOOc24kbUn4ejRo0fP/zd17SX+rW25G5+r8ybnFSn4bPNVXO3N6jWjqUlBSfNPLWkII0MRZYqmO8DW7MYJYGFmREGx9nobspHUnJxaPbbVcY5NrWtOPJTolkql3YEFgBnaqakioKVMJnN/gH0tgIvAcJlMllhnXWdgLWAEpACTZDJZwcOca3Ni3+FjODnY0yMooN66jb8dRqVW88rEUQCo1WreX/sbqfJ8Vr81Ge8WTpSUV/LG2iNkFZSw6pWheLvYsPxAOGeispg7xI9xgZ7IixV8dCCKyMwSunhY8VygG+1cLRA2MJGxmvIqFTFZJcjkJcRklSLLKuFCXB4bLiTjZCFmfIArw9s5suaFJ5i56RLzf7nOlld68faYJ1i89RR7LkYyvmdb5j47mPHvfsv3v51gyYyxuuNPGNaPbftD+Gn3Yb5cOLPBc2jftg1Tnx3PT1t3MrBPL54IrD9GepqmutpraqL1XufmF1FaVkGrFi4ARCdnEpsq553nhyEQCNh6MgwHK1Ok7o58evg8Y7t6svVqGh42ElQaDXczipkZ3JLeXrakFVSQUViBq5UxLe1MaWlnyqTAFshLFOSXVWFpbICNqRHGhiIqqlRcScxn9410Pj4kY1aflhRVVPHThWQWDfZm1ZFwFu66wY/Te1BYWsFH205jbSohUOrKhvemM/fr7cz/9hcWThnBU8Ha94GLgx3vz3qeuUu/49cjp3l2hDYKsZ2fFKlXK/YcOKIX3Xr06Hns1Gys4+ZgxvVIeb3JhA21Vv+30NjNgqu9KQYiYT2/O6AT3KC119S1kdR9enDlbmatca7JqdAUSiuUzS5S8GHtJevRCmcLYBtQBPz2ZztJpdIg4Dzg08gm3wCLZTJZB0AGvP2Q59lsKCwq5lroLQb1612v+2JeQRF/nLzIsD7dcXXUJnjsOH6Zy+FxvDlxMJ3beFJRqeSt9UeJTc9l2dQBdGzlxLaL8ewLTWZKz9ZMCGpJSn45r+0IIymvnA+GSfl8TFs6uFk2KbgBJIYi2rtZMr6zK+8O8WHz1M7smRHIwsHe2JgasfpUPG/suoNaAyue6UKZQsnHe28zoFMrOrd2ZuOxm1RUKnGytWJs366EXA1Hnl+kO76pxJjxQ/tw9tptktOzGj2PFyc9jYuzI99v+LmWN1zPg6G6N2YGBtp76uJ7ItzKQju59dIdbTW7b4AvYQlZ3IjL4Nngdvx8Ph6xgQg7KzMyCisY3t6JIxFynvRzwMPGhGVHoll+LIZVp+J5Z28EP55PJDmvDKFQgJOFMb5O5rhYSTC+9wjV2FBEsLcdy0b54WVvyupT8Yzq4ISHrQnfnU1k0agO5JdWsuLgXVa8MAgPBysW/XyC5OxCbCzMWPPOVLr7e7F00x8cOH9Ld329urSni7+UbftDUCq1/8QEAgHDn+xPTFwCiSn3bSl69DRnissqkeeVIc8ro7jsn1nR1NM4k4f6MXmIL6nyknqC+3/F4H/os9FcEDVwzgYiIZOH+Da4riYl5UrmrTpba1lQW6dGf6+7Lq9IUc8b3hx4WNGtkclky4HTQBQwARj0APu9BLwGpDeyXoRWyAOYAP88U1MjhJw5j0qtZmBwz3rrfj9xAUVlFZNGDgQgPSef73efILhzG8b27YJareHDbae5nZDJR5P60sPPnbNRWXx7PIr+bZ2Z0U9KXmkl8367i0qtYdXT7Qj20Yp3jUZDWGohGy4kMe+3cKZuDmXihmtM2nid1365zQd/RLLmbAJ/hGVwM6WA7GIFGo0GKxNDBvo6sPrpdnwwTKoV9L+EITE25I0n/bgan8PJu5m8PCSA3OJyDl6LBmB8v66o1BqOXr5T6xrHDe6DgYGIPcfONTpGhoaGvPz8s8hi47l07cajGvr/DHU7k1VVaR/hGdy7ybsZnURrVwdsLMzYfvoOFiZiOni5cTw8nae6uLP3diYB7pZcjMvF0UJMP6kd359JQKFU83SAKzN7t2Sgrz0x8hJWHI9l5YlYQiLl3Eop5HJCHgfvZLL5UjK/XE/lUnweJmIRC570wdFczLrzScwb6EWJQsnJmDxeG9CG89FyzkZn88X0QQgEsGDjcSoqlRiLjVj++tME+rXi0037kSXd/+KcOKI/8tx8Lt4M1y3r2+sJBAIBx081/t7So6c5UV6h5IZMzg2ZnPIK5Z/voKfZciU8gzV7wmoJvOp86Yaquv8rItE/S3QbiISM7etVb6JoUFsngvydWTilK4YGTUvQ2NTaBofJQ/2Y0N8bDydzJvT3rmUfqbnOy9WyXvv55sLDiu7qd1Ic4C+TycqBP72dk8lkL8pksqb+M84FfpRKpRnAQGDNQ55ns+HA0RO0bumB1Lt1reVqtZr9Jy7Qua0Pnm7aO7Y1v51EKBTw9nNDEAgE/Hg0lFNhCcweGcTATq1JkBfz4Z5btHG25P2nOqABPj4oo7C8is9G+9HKzhSA2OwS3v09gk+PRHMmJgcbUyOCve0Y1cGZwX6O+DqZgwBuJBew9Woqnx2NYdbOMKZvucnSIzKORmRRVKEk2MeOVRPaU6lSs2hfJIPaudLawZy1p2T4ezogdbVlz8VIAFwdbGjpYs/Vu/G1rtPWyoJuHf04fuF6k1XsQX17YW1lyb5Dxx7h6P83qB7X6icpRvcaL1Uptf/U49PkeLdwJK+4nLPhiQwP9GHrxXgkRgYYio0pqlDSqYUlqQUVTOjswsaLyRiKBLzRrzU9vWzxdTZnZHtnPhruy+iOzpQolPwelsmGi0lsu5rK0Ug58bml3E4tZPu1VL45GYdKrWFG75bklFRyJ72I0R2dORYhp0sre9q1sGbV0QhMJcZ8PKkvcRn5fL3vEgBiQ0M+fXUc1uYmfLR+r66K371jW0yMxVwIvS+6He3t6NjOj2OnzqJ53D2R9ejR85+hWlzXrazWzJcG8HAyx8ZC/Jdeo24jneZOdSF75dw+OjHcxsOaK3cz2XIogiB/Z0YH19ZBojqK1MK0fgTs5KF+fDuv331bSY2bnep1zwyS6iatNreIwYedSHlFKpXuBN4HDkqlUh/goW7XpVKpBNgADJDJZFelUulc4GfgH9+q8E5EFOGRMubOrN8kJkwWT2pmNi9NGA6APL+I41fDeWZgNxxtLIlKyWHT8VsM6+rNxOB2lCmULNgVirGhiM+fCcDYUMSem+mEpRXxziBvfBy1VoKwtEK+OB6LmdiAV3p70qOVLUZN3F0WVyhJLSgnNb+chNwyIjOK+eliMtuupjK6ozMj2jnxwbA2LNh7l58uJfNyXx/e2RnKuSg5I4KkfLHnIknyAjwcrOjo7c6J63fRaDS1rrdft86cv36H+JQMvDxcGzwPQ0NDnuwXzJ4/DlNeXoGkiTbyempTXFwCoGuKY2Sk/ZgrKquoqKwiK68ID2c7TtyKR6XW0Nm7BfN33eLp7q04cCeL3l62nI7JQepoRm5pFXllVbzZrzU2db4AJUYi+knt6Se1p1ShJK+sComhEEuJIYYi7YTNa0kF7LiWyt5b6TzfzZ0uHlaERMr5fIw/+29nsi8sgwXD2zHph7NsvRjHrIG+PNe3PdtOhdGnvSfd2rTA0syE2RMGsXjdHq5HJhDUtjWGhga0k7YiMi6x1jkNCO7FitVrSEpJxdO9xd8/2Hr06PnP01jzlk4+9hy6kIAG7aS3yUN8CfJ35rPNV7kakUmV8t9bHKhUqtl1Ioaw2BzKFUqUKrUujzsps1i33MZCTFFpJV5uVpQrlLWeCpibNN13oalOlc21TfzDVrrfBFbKZLJoYM694018yGP6A+Uymezqvd/XAn0e8piPHZVKxfc/bcHC3IxRQwfWW3/s/DXERoYEB3UE4MD5W6jUGsb164pGo+HLPRexNjPmzdHdEQgErDwSQUpuKUvGdcTBUkJuSSXrLyQR6GnFID/tXV1ibhnLj8bgaCFm6Sg/+vrYNym4AcyNDfB1MmegrwMv9/Rk5fh2rBjTlvauFvxyPY0Vx2Np72rBiPZO7L+dgbu9Oa7WJuy+lkgvfw8Azt9NBsDb3ZGi0grkeUW1XqOLvzYi6Xq4rMlzCX4iiMqqKq7euNXkdnpqk5SaBoDrvfQSI4P7le7MXO3jOhc7K06FJdDS0YrzsbkYGQipEhhQqVLTwsaYwnIlw/wdORWdQ5CnNa3sTSksr2LHtVSWH4th+bEYfr6SwoW4XOTFCkyMRLSwlmBnJsbwXrlCIBAQ6GlNsI8d15MKkBcr6ONtR2GFkuT8Mvq1sedEVA5OVhIGtXPh1yuJyIsqmDEkAE9HKz755RylFVqfa78ufliYSjh04bbuOj1dnUhOvx83BdD7iUBAmxCkR48ePf8fdPKxb7CyuvtkjC6VRHPvd4AFUwJxsTNr4Ej/PqKS8knKLCYtu7TB5XlFCpQqDVFJ+UjEtevAdX3adWnoZke3772IweYkuOEhRbdMJtPIZLLL934+KJPJ3pTJZE0rqT8nFmghlUqrwytHAdce8piPnXU/7+D6zTBmvTRVV4GsRq1Wc/rKLZ7o7I/pvYru2ZtR+Ld2w9XBhvAkOWGJWUwb1AlziZhbSXn8cTOFZ59oRUBLrWd727VUqlQaXu/bCoFA2wDnp4tJSIxEvD9UipWJYb1zKiqvIjKzmEvxeYREyTl8N4ujEVmclGVzPSmflLwylCo17jYmvD3Qm5d6enArtZCVJ2KZHNQCIwMhW6+mMqyjGzcS89AIhHg6WnE1Wiv6vFtoPzDRKbVnFTs72GJrZYEsPrnJMevg74uxsZhrN283uZ2e2pw8ewEXZ0ddp1OlWvulZCAS6ZrOWFuacTshi8A2bhy9k05vX2dCorLpJ7XnTEwuQZ5WXEsqQGwgZFQHZ1Lzy1lzLpHEvDL8Xcxp52JBeaWKE7Ic1pxL5OuT8ey5mc71pPxaDXMAgr1t0QBhqYX4u1ggAGRZJQz2c0ChVHMlMZ+X+0pRqTVsPBOD2NCA9ycGk1NUyvqjWk+/kaEBgX6tuBmdpDuupbkppeUVqGq0UnZysKeVp7v+Rk2PHj3/bzTWvKWuJ7nm738mKP+LlCuUjXq2G6Kxmx1o2GPfHGg2Od1SqfQQ2sSS61KpdCqwSyqVCgA5MO2xntxDsn33Pn7aupORgwfy1ND680yj4pPJzisguKu2cUlxWTkRCenMGN0XgMPXY5EYGTCsqzbs5fuQKBwtjJke7A1AflklB+9kMtjPQdei+1ZqIbKsEl7u6YmF8X3BXVap5FxsLlcS8sl+gPxPI5GAji2s6Otjx4A2DqjUGn66mMy1pHxGd3Tml2tprBjjB0Rz7E46gT6u/H45iopKJV5ujggE2oi6Xh1rNwBo7e5KfErTHwZDQ0Pa+/ly807zDbpvboTevsOV0Fu8POVZnaWntKwCAImxmLRs7Zd+XmkVSpUaA7EpFVV5SCTGqNSlSIyEqNQaOrawYu+tDMZ2ckGl1rAzNA2JoYhJgW61bCZFFVXEyEtJzC0jMa+M8IxijkTIaediwSA/BySGIqxNjHCxNEYmL2GArwPOlsYk5pYxtpMLNiaGnI3OpZ/UntFdPPjtWiKju7jj7+HAyCApO8+GM66HH652FrRt7UrItbvkF5VibWGKYQ2vukh0/5y6dmrPvkPHUCqVugQXPXr06Pk7qbY11MTLzapWi3MvNyvdz5OH+pGWXfKvjg38X5GIDbhyN5Ogtk4PlLFd00ZSUFzBlsORRCfn4+Nu3aDtpDnwWP8jyWQyzxo/D63x82Hg8OM4p0fNhq07WbNxK/1792DhmzPrebkBjl+4jkgkpEdAOwAiE7ShLu1auwFwLTqNTq2dMREbEpFWQFhKPm8O9kNyz6t74E4WVSoN4wNcdMc8FiHHSmJIsLetbllUZjFbrqRQVKHE28GUnl62tLCWYG1ihJlYpLMFKJQqCsuVZBRWIMsqITS5gOtJ+Qz1d2JAG3uuJxWw7Woq7w3xYVdoOleSCvB3s+LE3Qxm9mnJrnN3uR6TRs+2Hng62xMeVz/CzcXRljNX/ryC7Sv1Ytuv+6isrMLIqH61Xs99IqNjefv9T3F3deG58U/plqfLcwBwtrcl/EY0YiMDEuVFiIQC4nPKcbKUcDWpkC6eVlxNzKd/G3uOR8pxt5EQ6GnN5svJqNQanu/mWs/XbWFsSIC7FQHuVmg0GnJLq7ienE9ociE5pZVM7eaOSCjA1cqYGLn28aKThRh5sQKhQEAvb1uO3JVTXqnipb4+hNxN59P9Yayf3oMXnwzgSGgsG47dYPGzfXB31L6XU+R5WFuYUllZBWir4DXp4O/Hzr0HiI5LwE/q/beNtx49evQ0xYrZvZm36iyxqQV4uVmxYnbvWuutzP/9c5WMDIRUKpueBGphaoiLnVktz/eNKDnPDJL+qVgO8ne+1zo+Q7evl6tlgx775oC+DfzfSLXgHjqwL5+8N6/BqptKpebI2av06NxOl6Mcn6b1JXm3cKJMUUVydiHtW2r9uWciMxEJBAzrqBXkao2GQ+FZBLhb4m5jAmgnQ95KLSTY2xaDe0I6KrOYH84mYGIkYt5AL2b3bU0/qT3eDmbYmWmbmQgE2hatAgQ4WYjp7G7FxK5ufDyiDR3dLDlwJ5Pfb2fyUk9P1BoNJ2U5PNHKhuMR2fRp40R0ZhGONpZIjAy4EJECQHuvFtyOSdalTlTjZGdDflExinvCqTE83FxRKpXIc3L/6p/hP0F0XAKz5r+PuZkp365YUsvCFBUiMDu/AAAgAElEQVSfjEAgwNPNiajEdLzdHLmTKMfLxZYbiXn4uNpQVKHESmKIQCDA1MiAUoWKpwNc2Xc7g5zSSsZ1dsHe7P6s+9JKJYl5ZURmFpOYV0Z5lQqBQICdmRGD/RwZ1d6JtIIKQpO1lXU7MyMKy6tQqTXYm4vJvfeUpb/UHoVSzeG7WVhIDJk/zB9ZRhFrT8lwsDLlqe6+HAmNRV5QirOttkqUlVeoPYfyciTGYoTC2l9jLT20vbnSMmrbmvTo0aPn/5sVs3uz9/OR9QQ3QEFxRb1lBv+waMA/o65PWySECf29dTaSHu2d6dXRjdw67e5j0wpZsTWUzzZf/dPW7nUb4xSWKv616SV6GmH/kRCd4F487416jXCquRkRQ05+IYN7B+qWpWbnYWpshJW5CdFpWrHp4aAVHDcSc/Fzs8LsnmXkTloRWUUKpj9xvwloaHIBag0EtbQBIK+0kp8uJuNkYcyc/q2R3HszllepiMwsJiGnjMyiCvLLqnRt4AUCcDIX4+VgRqCHFVO7u2MmTudUdA4trCX0k9oTEpXNtO7unIvNxdpCK/gvxMgJkrpxPiKZ+RoNXXxb8vvZG0QnZ+Lreb8Sb2+jvZ7svALcnBr/QFhaaOPaC4uKcHPRe+Aaory8gjkLP8TY2Jg1Xy3F2dGh1vprYZF4ubsiNjIiMiGdkcEB/HE7g6C2rYlOKKFcLcDaxJCIjGICPay4kphPt5bWRMtLic0uZZi/oy5+Mq+skuvJBcTllNV6DaEAWtuZ0rOVDcaGIto6m3MjpZDzcbl09bDC3NgQDVCiUGJrakRppYryShVtXczp2MKSny+n0MvLlr5+zjwV4M7WC/EEt3FiQq+27DwbztEbsYzo6gVAboE2naWwpAwLM5N642Fupj3X6hQXPXr06HkcbDkUUc8ucSU8Q5eqcScup94+StW/I9HEQCjAzMSQyjpRhyo1XAhLp0d7F8oqlFwOz0Sl1jTYLEdRpdLZb6pTTXzcreulkgS1daqVetI3oEWD2zUH9KL7byBTns1X360joEO7JgU3wMnLNxAbGdLznrUEIKegBHtrCwQCATlFWnHjYGWKWq0hNquYkZ3vR6GdjcnFSCSkR+v7NpLrSfnYmhrSyk4rSH69kYZao+HFnh5I7rXnPinL4VZqIUq1BjOxCDcrCW2czDG5V/EuUahILSjnfFwuVxPzGeRrz5hOLqQWlLP7Zjov9/TgaIScUoUSU7GIu5kleDtacCFazpO+LTh9J5GErAICfD0BuBYRX0t021prA/PzCouaFN1VVdpKuNio6eig/zK79h0gOzeP9as+x8XJsda6uOR0bkbE8tqk0dyJS0FRpcTBzgZFVSoYiDEUlRGfU0Z7Vwvic8sQG4oQCqC9myV7bmXQuYUlAe5WKFVqrqcUcjutEJFQQCc3SzxsJJgaiShVqIjPLSM8o4isYgVD/RyxNjGkvYsF++9kIi+uxPxetaO4QonjvZzajKIKWtmZMqdfK17dfpuPDsr4apw/swf5ciE6i68O32XDiz3wdrHhYkQKz/Vph0goIK9Ya1MpKS3DwtS03nhUi20LC/O/c9j16NGjpx7VorqguKJBwVjtNT54IaHeviZiEWWKh+tc2VxQqjWNtoJPyy5l14mYWstUag2GBgIMRSIUVSpdc5uanApN4fez8TqvdhdfB1LlJQS1dWJCf+96NzjNSWxXoxfdfwM///IbVVVK3p83u0nBDXDlVgRd27dBYnz/0X1hSRlW5lrBXFCiffxkZWpMdnEF5VUqPO21NhSNRsOFuDwCPCyRGGlfp0qlJiytiN5etggEApLzyghPL2ZEOyfszcRkFSnYGZpGYUUVHd0s6eJuhZOFuEGvOUB2iYLDd+X8cScLEyMDxnVy4fPjsaTkV+Blb8rVpAICPay5llhAX297tl2I552hvgBclaXxTLA/rVztuRYRz/ND73fhtDLXXkNBUdPVyGpbibWVZZPb/Zc5feEy7dv60qGtb711vx09g5GhAU8N6Mn241cQCQVUKLV2jKziSlo5WZJSogaB1gISm11KQAtLTkXnYGNiyCBfB/LLqjgeJSe3rIo2DmZ0a2mte1oCWl+3s6Uxre1MOBwh52R0NmM6OONpq30PJ+eXYXsvb7W4QqlbHiMvoZWdKe42JrzzpDcfHpDxzck43h7oxav92/DxvttcipUTKHVj59lwVGoNlmYmFNwT3aXlFZhI6jeaSErRpufUrfjr0dMcUKrUyPO0xZSHbQ2u5/+fmpXquqKuZm50XY5cTqS0Qtnk3/zfUuX+q1QpNVQplfRo74yVuTGX7qSTV6TQrS8qrdQ1CapbBe/R3plv5/X7W8+vqb/9g6L3dD9iFJWVHA45Tb/ePXSRbY2RmZNHcoZcl1tdTWm5AtN7YqI6p9jM2IiMAq3nydlKK1pS8suRFyvods9GAhCZWYxCqaZTC61940RUNsaGQnp521JUXsW2aymoNBqmdXNnRDsnnC2NEQgEKJQqEnJLuZ1WyM3UQpLzy1Gq1NibiZnYxRVnCzH7bmdgKTHEzcqYa0n5dHCzJD6nFB9HU3JLK/GwM0el0ZBfrsLV1pzQWO2E0C6+LbkVk6zriAggMdaKsApF0wkqspg4bG2ssbWxbnrg/8PkFxTi7FRfYFYoKjl85gr9unfGysKMq3fj8G/tRkRqDi2drImTl2BppvV+ZxRW4GkjoVKpxs5cTH5ZFYP8HCitVLLndgallSqG+jnQ18euluCuiZOFMYEeVshLKkkvrMBSYoCxgZCsIgUWEq0dqqC8CkdzMY7mYm6mFOr27e1tx+QgNw7flXP4rpxB7VywNROz/0YKUjdblCo1CVkFWJpJKCzRfg5UKnWDN7W3wiMQi43wad3yocdWz/+xd9bhcZTrG77XLZ5s3L1JmnpSV6CGFvkBh1IKB20PDsX9YEWKHcrBKXaKtEgVqLtLmjbu7rZZ398fs9lGK1AD5r6uXlcz82V3dnZ288z7Pd/zipxqTBabq/W71fbn6jL4d6evzpMd+xatONynqJYgOa63+HgLDv+qdO8fUlrdym0zUntYU0wWuyvwoTubD1Sc1njAY733J4Mouk8xufmFtLa1MWH08OOOzSsWRGlKXFdx0G4yo3YmdRhMgr1Cq1ZQ0yxUvf09hBXPh8qFKasBoR6u391X0oRCJiE52J02k5X9Zc0Mj/JBLZfyw4FKTFY71w0LJdTbKbaajazIrOKT7SWsPFzDloIGthU2sOxQFf/bW055kxGFTMqMgcGYrHYyKlpICvKgtKGdUC81DgeuSEKNWpg4Ka5rIznCn5xyoUqdHBWCyWylrOZodFJHtrL8GDMBDoeDnfsO9FrBFTmKVqPu1b+851A2rYZ2po5Nx2A0kVVUweCESA4VVRMW4IvN7sDukBDkoaLdYkcpl6GUSag3WPBUy4n21fJrVi1SCVw+MIgIn57+6e4k+LshlUBJY7trYWVdmxkvjRyJRIi3lEgkDI3w4kBpM83tRxfSzhoRTr9AN77eWYpMKmFErJ4DxQ2E+QnXd0V9C24aNa3twudALpdhs/X8A3fg0GGSEuJckYIiIiIip4K+mrF0CLLOvuLuHuXJwyPILm5ApCtSCfh4dE1x6cgwHxDn12O83WEnNsSTUak9K82dm+Ocao7ViOdkEEX3KSavUGj4Eht9/CpbXYNQ6fPz8eqy3WyxonIKhjaTBZlUglIuo9ZpNfF1pkgcqWwR/NjeR5Mq9pY0kRzkgVoh40BZMza7g7QIL/JqDRTUGTgvUY/eXfj9PSWNLD1QSWWzidRgDy7tH8js9DBuHB7GlH7+OBzww8FKGgwWfN2U6N2UFNQZ0LspsTuExZYgfGic/xNeV6uJMD9PKhtasdrsBOuFKnVHYxaA5lbBIuCm69ooqDO5+YVU19QyMm3Icc/l35nY6EiO5ORh75YQs3XvIdQqJYOT450JMg4iQgJoaTfjphMEdJPRhp/zemgzWQnz1lBQayDO343MqlZq28yMj/PrkvV+LOQyKb46pSsD3lurpNFgQS6T4q1RuLaPj/fD5rRHdSCVSIRGPI1GDle2EhvgQYPB7Er9qW9px02rpq1dmG7UqFQYjKYuz280mcjKyWNgyvEzXkVEREROhr6asXQWZAB6Lw2D4vWMSg3CU6fEQyd8f3ZP2RABuwMq648uzJcgeLdf/HQHXu7qHmkuNruQbBKid+sivE93SsmxGvGcDKKn+xTT2ipUHL29PI4zUqjkAsi6TZcYzRbUKqfoNlpw0whWjLpWEwqZ1DVVn19rINpPh9SpfluMVsqbjIyLF+4Os6pa8VDLCfXW8N2+CjQKGYOdtpMD5c1sL2okTq9jXKxvjymbKF8tvjoFX+wqo6jegLfWEzeVHJPVht153FbnQgeJU3WrOk0RaZRyHA7Bv6hy5ihbrEe/lIrKqgAI68UW0cHaTVuRSCSMHj7suOfy78zwoYNY8es6Dh3Jpn9Somt7WVUtYUH+qFVKsoqEL3utVhDbEqkcCdDQbiHEW6gytJpthHipaW4wEuiporzJiIdaTpTv8SvcnVHKpK5rw1Mjp9lkxe5wEOippqJJuHEM99ES5avllyPVTE7yR+q8hlJDhM9Nfm0bns4uqh0zriaLDY1KSWWdcLPq5eHGkbyizk9NXkERNrudfmI+t4iIyCmmczOWzr7eQfF6ft1RjMliQy6T0thioqaxHZlU4loQuPi3HBIjRJvk8XAANY1GahoF+0ZvqSYg3MC8/cDEU+KzPhH6eu9PFrHSfYrpsE0cbwFl5zFWa9cpcoPJjFYlCO3WdhNuTv9zQ5sZL63SteixtLGdsE5V7iLn3WJHaklhnYEYvQ4HwqK1pEA3ZFIJVpvQejvMW8PEeL8+PVIeagUquZQmo2ABMFntyKVS6g0WpBJobhc82h2+qw7RrVXKsTin/aVSCSaLME4hP3pOMvOKcNNqCNQf9aN3Z83GLQxMSRL93MdhzIg0VEoly1av6bK91WDA3VnRLq2ux8/LjVZni3arHTy1SgxmGzKpBAlgMNtQON9DN5WcFqMVT83JWzQsNjsy5zXqpVHgcECz0UqIlyC6O3yLF/YXsrwPlje7frdjFqa+zey6LjsK+Da7HY1KQbtzHYCPpzt1Tc1dKvx5BYIIj4uOPOnjFhERETke6SlB3DYjtYvo6twGfmCcHxanDuiewNFusorCuxt9aGoXNruD2BBPPLs1ZuuwoPT2fpwuTsVziaL7FKN2ppAY2nuG3ndH5mzq0blxjNlixWS24qYVqo/NBhMeWuExG9vMeDsvPLPVTlO7FX/3o+kNHQ1H/N1U2OwO6g1m/N1V1LWZsdgcLhtKWZMRq91BarCHq0reGwazFZPVjpdGgdVmp6rFRJCHipzqVkK9NWRVt+KrU1La0I5CJgG7ILTDfXVUNbbhpVOjlMuorhdElb+3UMV0OBzsPHiEISnxfaamFJWUkVdQxIQxI497Hv/uuLu5cd740az4dR2tTtsOgE6joc0gLDpsM5rQqVUYnAtzbQ5QO6fKJBLh5kiCsNgHwG53oJRJXH88ThSLzU5dmxk/N+E67bhe69vMxPjpsDugoE44xrRIb7RKWReLidn5fEqZFKNzulbu/FaWy6SolQqMznUOeh8vbDY7DZ0ScErKKpDJZASKySUiIiJnkA5BNmVEpMuG0B2NSk5uaWOv+/6ujOgfxPRRUVw1KY7YkN5TygJ8tXz+zFRXQ52rJsWdUJv4cxFRdJ9ivDwFYdnY1HyckdBuEvyo6k4Z1A3OODRvZ2Rgk8GEl84pwNvNeDqj19rMQsXSXX3UIdTuFClapZDF7XAIFcs2Z+5nhy3F6Kw0eqqP7S7aWtCABAjz0pBR0eLqJlhQayDe3429xU0MCvNka0EDycEeZJYJXyYJwZ7kVzYQrhc+QIUVtUgkEOL0dheVVVFeVcvwgcl9PveaDZsBmDBmxDGPUUTg6ssuwtDeztLlq13bAvU+lFbW4HA4kEml2O0OOuoune91pAhToGqF1HUD2NRudXmzDeYTjzU7UN6MzYHLkuLvFN9VzSZi9TrkUgkHSoXPhlIuJTnIneyqo4uPOm4cvbQKGg3C/1UK4WDVSjkqpQKjs4upnzPrvWNtBEB5ZRWB/vpjLtAVEREROV2kpwQxtF/Xm34PnYLECG+OFDX87WMBu5Nd3MBtM1KZOS2J1+8dz1WT4nr4uEurhcLKzGlJvP3AxD+t4AZRdJ9y/P2EJjXVNT07TXWnQyx4e7q5ttU0CALEz0to7NHYasTTKbpbTVbcnE1GLM4PrqLTxdlRNbY7oPPHumOKq2Map8MG0mKy0hsOh4O9pU1kOzObvTQKtuTV4++upKjuaCXVbLMT5aulpKGdcXG+bM2tIcbfHS+tgpyyOhLDBG95bmkVof4+qJ2WmV0ZWQCkD+g7leTXDZvp3y+BQP9zp33ruUxifCz9kxJZsmyVy24RFxlKW7uRsqpaPHQamtoMLn+9TCrERMqlEte14q6S09RuQaeUUd5kJDnIA7vdwYa8OpePvy/MVjtbC+rZWdRIpI+GIOdqdJ1KjqdaTmljOyqFjJRgD/aUNLoq6JG+WiqaTS7LSVmjMEMU7KmmutmIVimj42rWKBWoFHLMTruSl4fwuWloOiraK6qqxXzuvzktBjPV9QbXPzELW+RM0yESO/B2V1NeK3bI7Y36ZhPbM4S4v4XfHyA+3JsZ42O7jOmwkvwVEEX3KSbAKRIrq6qPOza7oJTw4ACUnaLNSqqEmL2OqnCT4ajoNllsR1fPOoWzudNds6dGEFSN7ZZOnSWteDi3d3iwQzzVKGUSdhQ1uqrjIIjt6hYTyzOr2VbYQIyfliHhXuwpaaS2zczwKB825NYzMMyT37JqiNHr2FPciFouZVCIO/uK6hnfL5C8igbazVaSIwTxk1NSSVzY0Q/NvsM5+Hl79tmJsqikjOzcfM6bMOa451DkKFdcPI3i0jJ27NkHQLIzijIzt5AAHw+a24yoFMJ1o5RJaG634KVVuG7KPLUKKppNRPvpyK1pxVMtZ2SUDwV1BlYdrqaurWumutVup6yxnY15dSzaWcK+smYSA9yY1G1Vd5SfloJaA3a7gxHRPrSabBwsE6rderejHm4Q1iEARPppKW8wEOSlpcVZ8fbQKpHLZNgdDux2OzqtYJfqnGBSWVXda2a5yN+HdqPVlYMtZmGLnA26i0SNSk5zm6WP0X8fQvQ6Hpud5kpzAaEouHJroSsD+6XPdpFf1sSo1KBerSSLlmcyd/4aFi3PPAuv4I8jppecYvS+Psjlcsoqq445zm63cyArj/SBXadJiirrkEklhPr7YLc7hPQS50JKu+NotVqnFNp1d0zBAy5/d3ljO5G+Wny0SqqaTXhrFMilEkob2+kf4oFCJmVsrC9rsmv5ZHsJgR4qpBIJTe0W2sxC9XN0tA8pQe40GCz8mlVLhI+G3OpWLDY7Ae5CZ8tLRgfy8upcJif5szW3BgdwXnIQ+3JLAUgO12O2CPncU4anuo7zYHYBqQkxffq5f9uwCYBJY0ed+IkX4bxxo3njvY/43/c/MXzoYGLCglEpFRzMymdAagoAVrNwvcglwpedl0ZBm9M+olbIaGq3Euat5mB5Mzk1raSGeGB3ONhZ3EhhfTlahQytUobVbqfZaMXuAJkEov109A/2IMC9Z4fIOH839pU2U1BnIDHADW+tgp1FDQwO93IllDS2Wwj0VJNX04afmxIPtYLiujai/d1pcDbD6bj57EDpSsURbiZNZjO19Q1ipVtEROSs0iESO9qSd48KVMmlSGVS2vuYbf6r0tBsZNGKw/SP8WPX4eouhcSOGSmLzc6uI9VIgEdnpwGw8PsDDIrXk13c4Gof35GJ/mezmoii+xQjk8kIDgygtOzY3Yryisupb2phWP/ErtvLqgn190GpkLu6UWqclhKFTOqahpfLpAS4qyhtOLpgM9xHg0ImIbu6lZExvkT4asiraUMmlRDtpyOrqpXJ/YR4tji9G746JXm1Bsoa27HZHQR7qgn1UhPpo0WtkGG12fl2bzlSCYyJ8eXNdfmkR3rzy5Eawn2EPGerzcFVQ0J46rs9xAV4EOXvzldra/HQqgj186C4sg6HA0IDhJSS1rZ2yqtquXRS34L6tw1bSE3uR4C+ZzC+SN8olQpmXDiFDxZ9TVVNLQF6P5JiIzmYnc/FF4wDoM0gXC8ShOvISyOnrNHojLYStpltdny0Cn45XEOUr46BoZ4kBLhRVN9OWVM7RosduVROtK8Of3cVoV7qPhNwAOL0OlRyKQfLm4nR6xgc5sm6nDoMZhsaZ+Xd6EzAyaluJc5fR7vZSkldGxf0D6aqQZiW9ffUYbIImd9SqdSVFCR1LkiurBL868GBAaf61IqIiIicFDOnJXURhJ0b55is9qNZqL0QotfR2Gqirf2vJcoNJhtFlS0UVbbg46FCIZcyIM6PEL0be7NruqS9OIDXv9qDyWLHarOzalsR3u5dE0y2H6r804nus2YvSUhI8EhISMhISEiI7LZ9YEJCwr5O/8oSEhIyztJh/i4iwkIoKi075pidB48A9BDdBeU1RIcIlbqOaVGlM2rPs9PiMoD4ADcyyptded9yqZT+wR7sKGzE7nCQHORBU7uVgloDA0M9aDZau8Sz+WiVDAv34tLUIGYMCOK8BD2JAe5dBHdls4mL+weyIrMKhUyCr05JRZORS1KD+OlAFaNjfXHY7WSUNnJB/2AAsstqSQjxRSKRUFkv+NaD/IR88IJS4WYkOjyk1/NSUlZOdm4+E8XUkt/F5IljAdiwZTsAKfFRZBeU4u/MjW9tEzz5Vouz06lCSlWLiXBvDRWNQi734YpWpvcPpN5g4ZfD1TgcDjQKmcs6Mj05gMn9/EmP9CbKV3tMwQ3CDWK8v47cmjYcDgeJge7Y7A6K6w2utBSAZqOFovp2EgPdyShtxAEkhXiRX9mAu0aJj7uGhuY2fDx0AK5kFp1GqIDX1gkpKP5631NxKkVEREROCTOnJbmSNzqKaMeirKbtLye4u1PfbKK13cLmAxV8tza3R7wiQJvR6tJBVpsdg7HrOels4/mz2E7OiuhOSEhIBzYB8d33ZWVl7cvKyhqYlZU1EBgJNAC3neFD/ENER4ZTVFKG2dy3h2v/4TyCA/y65FRbbTbKquuJDBIqvB0NQ+zOizHQU0Npp85NQyK8qGk1k1N9dHHjqBhf6trMZJQ3MyDEA6VcyvqcWhIC3AjxUrMys9rVoKQvWk1Wvt5dRnZ1G9OS/Wkz2zhS2crU5AB+PlhJlK+WyiYjLSYr/zc0hJUHypAAk1NDsNrs5Fc2EBfiXFDaERfoXBhaVC7YbiJCeq9G/uZMLZk4VhTdv4fI8DDCQ4LZtG0nAInR4VisVipr6/B211Ld0ISfh5Z2o3ANyCQO7A4I8FCRV2sgNcSDjPJm/HRKhkd5s7ukiR8OVB4zOtBud9BusdF+jJSTYC8NBrONVpONYE9BJFc1mzA6M+oVsqOpJqkhHuzMr0UmkTAgzJuMomrinTdxxVX1BPoKN3AdUYGe7oIIr6kT1kP4+fSd/S4iIiJyuulYFLg94+iMd0fyRoifrstY3XFSxP4O9Ca4e6Otk+hOjPB2VbkXLc9k8W85FFW2sPi3nHNaeJ+tSvfNwByg/DjjHgbWZ2VlbTr9h3TqSIqPxWq1kp2X3+eY/JJy4iNDu2yrbRRi+TqqwlqVQvBaG4SFYv1CvKhsaqe2RRBM4+L8UCukfLf36GlMi/TGUy1n2cEqVAoZE+L92FPSRFF9O1cMCkYtl/L5jlL2lzb1uNANZivbCupZuLGQovp2LuofQKSvlsW7ywj30dButlLTauaqISF8u7ec1BAP+gW6sfJAGUOj/fD3UFNc04TJYiMuWBDdHd0D9c6M7qKySmQyKaEBvS+i/HXdJvr3SxB9uX+AYYMHsD8jE6vNRnSYMPtQWFpBsN6b8ppGQnzdqWlswddNRbvTwqSQSTFZ7YR4abDZHWzIqeX8RD3j4nw5UNbM62vy+HZvOVvz69lZ2MD6nFq+21vOuxsKeH5VNvN/yWX+r7m89lsuS/dXUFDb5ko8cTgcVDQJFhatUkZHcVsigZoW4fn17iq2FTSgU8pICnRjTWYFQ6J8aWprJ6e8nlFJ4ZgsFg4XlJESI3xuyqpqAAhxXks1zkq33k+sdP/d6JxYIqaViJwpehPX2zMqXIsC53++u8s+gKsvSHAV1KRSCfdcM5jHZqf1mVEt0jsdfvjtGRUs31LYZV93D/25xFm5xcrKyvonQEJCQp9jEhISPIFbgP5n6LBOGanJQhTenv0ZpPTr/TXWNTb3iMxraxfEdUdjHJlUir+XjtJaoQKYFi1UwNcdruSKtEjc1XIuTg1k8e5yLuwfSH9nZXt6/0C+3FnK1vx6JiXq2V7QwMdbi7h3Uiwz08P4fl8FPxyo5IcDlYR5a5BJJbQYLdQ5V1eHeWu4MCUAtULGgjV5AFwxKJhnl2fRP9iDyiYj1S1m7pkUy/7iBsoaDNw0Tmi7faREiEpMCBWET1lNA3ovd9eit9ziMsKDA5DLe+Yol5ZXkpWbz523zP49p13ESUq/BL77aQWlZeWEBwvTb8XlVYTovTmUX8awIZGsO1hIcmIA+VXN+LlpqW4yoZJLyShvJjXUg3U5tYyL92NcnB9Rvlp2FTVS1NBOZsVRX6KXRoHeTUmcvxtuKhl2B1Q1GzlS1cqBsmZ0Shmh3hraTFZKG40MCPFAJpVQ2SRc554aBdsK6tEopHio5WzOqyMt0puM0kZK6w3cMCaWn3ZkI5HAhAFRbN6fg9lqIz05GoCcojJ8PN1dle7a2nrUapUr1UTk70NHYglAgtjxT+QkWLQ807Xg8WT8wR3i2mSx8euOYh64bgjpKUHsza5x3fiZLDY+/CGjS+vw9JQgHpk1jH4kpBUAACAASURBVL3ZNejUcr5enUVTm4kJQ8KQy6UcKWo4XS/1T8PQRH8O5tUd8wY6PTmwy3vQfd+5yrkcGXgdsDQrK+v42XvnGH6+PsRGRbJlx+4+xzh6yT3uEKZG01HfdlK4ngMFldjtDuICPYgP9GDJrmKX5WTW8HACPVS8tCqHBqffe3r/AGL0Oj7YXEhdq5l/joqgzWTjzbX5GC12bhoZzqzhYQyL8ELiTLHwc1MxPt6PW0dHMntEOC1GK6/8KjzmP0dFsHh3GSarnX+khfLlzjLi/HWkRXrx894StEoZE5KEizyjqAqtSkFkgNPDXV5DZPDRBZE5haU9Kvwd/LJuIwCTxompJX+EyHDh/BaXVqBUKND7eFFRU0+I3pvKukaiA71pajMR4+9GYW0rg0I92F3SSHqkN1vy65kYr8dstfPFjhJsdgfhPlpmDArm7gnRPHB+LPdNiuHRKfHcOSGaa4aFcl6inuFRPoyM9uGygcHcNymGKwYFE+GjpcHZDXVyP38uTg3E4XCwLrsWlVxKjF7H7uJGBoR6sqOwkaZ2K+f307N4eyEeagWj4/1ZsuUIo5PCCfZx57u1O/H3dictOQaHw8H+w7mkxEe7Xnd1bS3+vr59puKIiIiIdOaP2BK6i+u92cLM26B4PbJOvc0r6g09qt7pKUEMitfz3dpccsuaqGk0svi3HPLLmno+0V+c7m3gVQoZKqUMtbJnYc5Tp+wSI9j5PQBw0yjO+W6V57LovhT4+mwfxO9l9PBh7Dt4iOaW3gPx/bw9qarrekcb6OuJRqXgcMFRu8i4/pFUNbaxK0fYdu3IaPKqW/hxTwkAGqWMR6bGU9dmZt6STFqNVuRSKXeOj0YulfLs8ixkUgm3jY3CYLby0upsvtlTjkwiYUqSPzcMD2f2iHD+b0gIwyK8qGox8u6GAl53Vrj/NT6arfn17Clp4vrhYWzNb6C8yciNIyOobTGx6mA5UweEolHKcTgcbMksYUhsEDKpFKPZQk5JJYkRgsWhpr6RqtoG+sVE9DgfVpuN735azuABKWL6xB/E10eo9DU2CV/ggX7eVNbWExWsF7qKOrOxtVJnp1KlhHaLHW+tEpPVzu6SRq4YHEJGeQufbC2mzTmNJ5FI0Chk6FTyLn9UuqOQSUkKcueKwcHcNjaKW8dEkh7ljQNYcaiKg+XNTEnyZ1NuHU3tVibE+7F4dxlBHir8dHLWHa7ksqHhLN16mIbWdmZOHMDm/dnszCzg2skjkUml5BaVUVpZw8jBR7ualleKGd0iIiInTncbwsnYEgbF64/2zVDIGOTsT5CeEoSPR8/o1M7CHOiR1gG40sn+bPyeMoenTslVk+J45IY0Vxv46aOiGNrPn80HKmjq1hcCIMhP16UjZff34O6rB53TghvO0cjAhIQECTAE2Hq2j+X3MmZEGp989Q3bdu7hAmeiRGdiwoPJyCnA4XC4KnMKuZwhiVGs2X2YuVedj0alZOKAKBYs3cYHq3YzNC6Yyf2D+WlPCW+uzmRAuDdR/u6kBHvw9EWJPPbDYe74aj9PXphIjF7H49MSeGb5ER75IZOZ6WE8Mjme5Yeq2ZxXx8ZcIQ9c76ZEArSZbTQ7Fym4qWRc2D+QASEefL6jhJ1FjUxO8ifQXcVrv+YxOtaH9Chv5i/LwG53cO0Iodp4qLiGioZWbpw8GICMvFKsNjsD48MB2Jsp5GsO7BdLd1av2UBVdS0PzL31lL8Xfzd0WqEFe6tBWHTr5+NFYWklceHCbITB0IaXTi3EU/po2V8oRECuza4lLdKLH/dX8uzF/bhsYBBL91dwoKyJ1BBPYvQ6dEoZNruDFpOVulYzdQYzjQYLVrsDuVSCj05JoIeKEC8NfjolaoUUo8VOUb2B7YUNlDUaGRbhRZiPhn+vyCY5yJ1mo5XMihbumhjNZxvzUClkTBsQzI2vLWF0UjgJob784/HFhAf6cuWkYQAs+WUjMpmUicOFa83hcFBSVt7rZ01ERESkN9KTA7tE+Z2MLSE9JYgHrhvSxTrSwYQhYa486Q7kMqlLmIMgGJdtLugyRioF+59Qd/+exvZe7iriw717nL+589f0+Tvdc82P9R6cq5wzle6EhITlCQkJQ50/6gFzVlbWsWM2zmGSE+Pw9vJk3eZtve4fNaQ/VbUNHMzuutjyhumjqWtqZdFyIcVDKZcx58Jh7C+o4rstmUgkEp6cMRC1Qs79X+2iulk4RWmR3sy/PJl2i405Xx3gm91lBHioeOHSZOL8dXywuYinl2cR7KXmiekJ3DAinDGxvgR6qPH3UJEU5M6F/QOZOz6KG4aHU9Vs5MElh9hT3MTM9DBGRHnz5M9ZBHqoeeD8OLIqmliyq4gZwyII8RFE3nebMtGqFEwaIHRC3LD3CEq5jCGJkQBs2ZOBp7uOxOiulW6Hw8Hn3ywhOjKcsSPTT9l78HdF6ryJczirKAG+QqU7MtAPD52GvdlFTBwQxabMYi4eFMqBkkbGx/qQV9NGtK8ON5WMV37JYWCoJw9PjmdMrC95tW18t7ecz7aX8MXOUn48UMm+0iYMJhv+7ioifbX4u6toNFjYkFPHou0lvL4mjxdW5fD6mjy+31eBze7g+vQwkoPceWlVDt5aBbOGh/PW2gJi9DpifNSszijn/4ZHsnRLJgaThTsuHMaHP6ynpLqeB2dORyGXU1XbwNJfNnHRxJF4ewqpOJXVNbS0thEbFXmWzrqIiMifjc5Rfr/HlpCeEsRtM1J7iL2Ox9V7qV32CbvdTnbx0dntb9d0FeUgxP7+Gfk9le5Qfzf+/ckOlm0u4N+f7DhqvTnGjU9v+/p6D85VzmqlOysrK7LT/6d1+n81cO464U8AmUzG2JHp/LJ2I0ajEbW6aze9CemDeP3jb3j/fz/z1hN3ubanxoUzeXh/PvppAykxoYxMjePCtHh+25fPG0u3kRDiR2pUAC9fM4Q7P9vBLR9u4fXrhhGld2dAqCfv/WMg83/J5d0NhSzdV8H1w8N5eHI82wsb+HZPOW+vy0cpE/y0IV5q3FSCLaTFZCWvpo2vdxkwmG3IJBLSo7y5ZEAgW/IauGtxBr5uSp6/tB9mq41HFu/BR6fin+OFBZSltc2s2pPL5aOS0KmVWK02Vm/PYERqHFq1CovFyoadBxgzNBVZt1znFb+uJSevgCcfvFv0454KOkS3c91AaKCedqOJ+qZm0pOj2bQvm/n3pPP9lsNYDK14ahRsOVJGSrA7H2wu4pEp8by3qZAHvz/ETaMimDEomMsHBdNismK02JFKJLirZK5pve7Y7A5qWk00tFkwWm0oZVJ8dUoK6w2syqzmYHkzwZ5q/jU+mmeXZ9FqsvLMRYm8/NN+vHVKJib6c+Prm5k2LI52g4FFKzZz0ZhBpCVF43A4eGHh50ilEmZfPtX1nAcPCbn3/eJ7zqKIiIiI9EX3Jjan8nHbjFZXNdvuOCq088ua/lILJk+m0i0BNCoZ+7Jr6Fja5nDAO9/sc1Wsr5oU51rcCvyuha7nKuekveSvwgUTxvLD8tVs2LqTCyaM6bLPTafhpiunseCTb1m1cQeTx6S59j1yw0UUlNfw6Lvf8M6Ds0iKCuHp6yZw44IfeODD1Sz814WkhHrzzqx07v1iJzf+dzNzzk/k0iHh+OiUPH9JP3YWNfLB5iJeWp3DJ9uKuah/IPMmx1HbamZXUQM51W3sKGyg1WR1Rbnp3VSMivYhzt8Nd7WcnYWN3P/tIeoNFkbH+nD/+bG0tlu487Pt1LYYeWfWcDy1ShwOB698txmlXMasSQMB2LAvi/rmNi4eMwiAbfszaWkzcP6ooV3Og9Fo5M3/fkJyYjzTzp9wmt+RvwcOR0enRkF8xzkXrh7OK2LKiFR+2XGI6to6RiSG8vWGg9x04SgWrDrCrRMDKW0wsnBjIfedF8v/dpeyYE0efm5K0iO9SQhww89NhUYpo85gx2gx0may0WqyYjDbMFpsWO0OrHYHFpsdg9lGY7uFqmYTxfUG7A7w0Sq4Li2UEC8NT/58hOoWE89fksT2nCoOlzfx7OWD+HDVLhQyKTdPHsx9Cz7Hz8uNe6+ZAsCipavZvCeDB26+mmD/owt0d+47gE6nJSEu5gyfbRGRU4PVZqe6Ux8GjVqOu1Z5jN8QOdcZFK9n5dZCl3e7Q3j3FUv9Z/V0nwwOhM6U3WloNbNsc4ErCaazwP4riO0ORNF9GhkyIIVAfz0/rfylh+gGuGrqBNZt38fTb32Kt6c7aalChKBGpeTVu67hlhc+5l+vLOI/D84iISKI12+Zwq1v/cTc/yznnTum0y/Ei09vHc1zPxzgleWH+HpbAdeNjGFSchBpkd4Mi/BiS3493+4p54PNRXy4uYhYfx39QzwYEu6Fn5sKpUyCwWKjvs1CRZORzIoWfthfSZvZhkwqYViEF/83NISEADe+31nE+2uzkUolvHLtMFLChAV7X6/PYOuRUu6/fCR+nlocDgeLVmwmRO/NiP5C5XHVxp14uul6xCQuXb6auvoGXnh8nqudt8gfQyEXPtYWi+B/S4qNRKNWsWVPBvf/82oig/z475K1PDfnam5c8CP7j+QzMk7Ph+uyuGd6Kp9tL+PZ5Vk8NDkOo9XO5rw6VmZWsyyj6oSPQSIBrVKGh1pBgLuKQalBxPnraDFZWXawmt3FjQR5qHh5RjK1TQYWrsni/JRg3ORW1h8s4vbpw1i2aQ85JVXM/9fV6DQq1mzdw9ufL+G8kUO4csp413M5HA627NhN2uAByGW9V99FRM51TBYbB3JrXT8PTvAXRfefnPSUIC6fEOsS2jKppM9GMEq59G8huo9Hx4LTP4td5GQRRfdpRCaTcdGU8/hg0dfkFxYTHRneZb9CIefVh+/glsde4d7n3+GJubO4YLSwUCzAx5N3583ithc/Yc78T3nz3pkkRYfwzu3TmPPucm5+80eenzWJYfEhvDEzjU3Z1XywLpsXfz7IqysOkRbtx7h+AYyKD+D1K/tT1tjO2qxa9hQ3suxgFRabvcfdtlohJcpXy6REPamhHqQGu1NS18b6Q2XM+7KMRoOZkXF6HpieQpCX4OP+cXsWb/y4jbEpEVwxSrgbXbfnCIfyy3jo+guRy2S0tBlYt30v08ePQKE4esm1GQx88tW3DEpNZlBqMiKnBqVSiUwmo8XZ8l2tUjJqcAq/bN7F3JkzmHvledz/5tes35XBzVOG8O6yndw2LY2KRh1vr8zgwYtS+XJ3BfOWZHJBPz3/SA/jXncVxQ0GGgwWjBbhD4NaIUWnlOGuVqBTylArpMilUmRSCVIJtJis5FS1caSqhX2lTXy2rQSj1Y6fm5KbRoUzY2AQP+0t4c1Vh0kN8+beKYnctOAHwvWejEkMZtbTP3HesGTGDU5k275MHnv9Q1Lio3jyXzd0sSFl5eRRXVPLrbOuPSvnW0RERKQvZk5Lci0Y1KnlrpbnUgn4e2ux2e1MGBJGWU0rmw9UHP8BAa1KhsliP+FOjuc6KrkUJBJMFluXJJi/IqLoPs1cdel0vvhmKe9/9iUvPPFQj/0ebjreffpe5s1fyKOvfUBuURm3XXMxUqmUYD9v3p13A3Pmf8qcVz7jtbuvZVB8BB/edTH3vr+Kfy1czrXjU7nxgkGMSQhgdLw/h8ubWH2wnHWHK9mcUw0cJCnYk+GxetJi9Fw5OBiFXEp9m5A6YbE7hBg4pZTGNhM5lS0cqWjiq42VPFXRjNlmRy6VMDLOn6vSIxkSJeQgW212Pv5lLx+s2sPwxFCenTkRiUSCwWhiwVcriQnx5+KxgrVkxfrtmMwWLj1/dJfX/sU3S6mrb+DVZx87E2/F3wapVEqgv56KyqMR9zMvvYBft+zm0+9XMue6y5g2cgAf/rieV+68hgmpUSxcvoP7ZoxmyYFqnv9hP/dOSaLOBN/sKeOXwzUMCvNkVKwvQyO8CPVSdxG9bSYr5U1GiuvbKag1kFfbRn5NGzWtRyOfInw0TE72Z3SMLwPDPDlc3siDX+9mZ34to+L8eXLGAF79bjMV9a38Z850XvtqBQqFnHuvnUJuURkPzX+PqLAgFjw6F7Wqa/VvzcYtyKRSxo5MQ0RERORssj2jokeaRkdTnEXLM7tYTcYOCmHmtCS2Z1Tww4ajoQoqudAhuC+MZhtqpaxXm8afkUvGxfSaZPJ7+L3Njs4Uoug+zXh5enLdVZfx30+/ZPKmrYwfPaLHGG9Pd9558h5eev8rPv5uBblFZTxz9424aTWE6L1576HZzJ3/Gf+a/xnP3Ho5E4cm8dE9l/LmD9v4Yu0Bftx2hCtGJ3FRWgJJIV4khXhx1+R+5Fa1sDGriq051XyyMZePNuQik0gI9dHi46ZCJhXuLGtbTVQ3GbE5VzWoFTISgzy5Ii2C1HAfhkX5olMrALDbHWw8VMR/V+wip7yeKUNiefTqsSjlMsHb/cUKKuubWPjQbOQyGTabnf8tW0NyXGSXfG6j0cjipT8zbmQ6yYnxZ+bN+BsRFxPF/kOZrkjKpNhILpwwgk+XrGJgv1geun46eaVVPPLuN7xy5zW0tJt4fclm7r50BJsLW3lpWQaXDA7j4+sHsTqzhjVZNbyzLh+7A+RSCZ4a4avDYLbRbjn6x0EmlRDurSE11IMYvY5YvRsJAW5IcHCorJE9+dW8vvwAuVUteGoU3Ds1iSvTIvlq/UFW7s7llqlDyCsqYWdmAQ9dfyFWi4W5Ty9Aq1Hz2sNz8HDTdXmdDoeDX9dvYvDA/nh5im2URUREzh59dal07e8lF7y3Ji/HEtwgCPZzWXAH+Wip6LQ+QULviy31XmomDAlzieM/ainpaHYEuKIgzzXhLYruM8AN11zBxq07ePaVNwkPDelhMwHBavLo7dcRHxXKax8u5pZHX2HBY3Px9/UmwMeT9x+5kfve+IqH3lnMdVNHcttlE3noqjFcMjyRj37Zyye/7uPjX/aRFK5nVFI4I/uFkRjqR1ygBzeOi6O53cKewjqyKpoorGml0WDGZLWjUshIDfMmOFVLlN6NuAAPwv3cujQ/aWozsvVwJbtyyvltXz4VDa2E+Lrz4uzzmJAa5Rr38c8b+XnTPm66eCyD4gWB/euWXRRXVPPC/bd0eb0/rvyNpuYW/nHlZafprP+9GTMijXWbtrJ730GGDkoFYN4t15JdWMqjr33Am0/cyRv3XcdtL37CvLf/x0tzr0Yhk/Laki3MvSiNhKAYPt+cx77iep6eMYhZI8IoaWjnYFkzZY1GmtotSCTCDZqfTkmwl5pQbw1h3hoUMilNBjO7C+pYl1HK68vqya9uwYHw5ZsS5s09U5K4cFAYOpWcbzYe4o0ftjMhNYrxyaHMfuZ9hqfEMHVEf25/8jWMJjMfvTiPAL+e7b0PZ+dSUlbB9f93+Zk9wSIiIiLd6K1LZWch2T0XvKHFyKLlmQyK1/PrjuJjtj1XyCVYrKffTvJHs8KHJvrz5M0jXBVnq81OWU1br2MjAj1oM1rZnlFBdnHDH6pQL1qeyffrcrts67ipOZcQRfcZQKFQ8MIT87jpzge544HHePulZ4iNjuwxTiKRcNXUCYQHBTDv5YXc+PBLvPHYncSEB+PlruM/82bx2pcr+XzFFjbszeLuqyczKjWO+TddQGVDK6t257Iho4gPVu3m/ZW78dKpGZ4Yyoh+YaTFhzC+XyDj+/WdxGgwWcgsrmFTRj5F1Y0UVzdRXNNMQ2s7IFQx0+JDuP3CYUwaEI3cGf1nt9t5b8laPv55I1NHpHLzJeMBMFss/OfLH4iLDGVC+iDX8xhNJj7+cjGD+iczsP+59YH4q3D+uNF88NlXvPzWQj5f+AZKpQK1SslrD8/hjidf419Pv8Hrj87lnQeuZ878z3jgza94ae7/oVMrefunHcw+fyBvXp/GM0v2c9MHm7l6eBSzx8YyvX/v14/D4SC3qoVFm/LYmlPNobJG7A7QKGSkhHkzMSmIlDAvUkK8XLMmZquNV77bzDebMhnXP4KHrxzJbS9+gkal4LHZl/D8ws85lFPI/Hm3Ex0W3OvzfvPDMtRqFRPHjjpt51JE5GzQOc1ETDL5c9BZPHf3JneI0MQIbypq22hqM9PcZmHxbzlcNSmOB64bwtvf7KOxtWcnRjeNHI1KTk3j6W9dciKCW4KQjtWbpzw6xJOn399KaXUrzW1mDN0a2nRmT1Y1dgddEl5+T4W6c4W7MyfT7OhMIYruM0RIUCD/mf8ccx98nH/ePY+XnniI9KGDeh07fGAS/33ufu567i1ufnQ+8+fdxpCUBFQKBQ/Puojxg/vxyufLuXfBlyRGBHHlpDQmDUti1nkDmXXeQBpa29meVcbWwyVszypl5W7h7i8myJvEMD3hek88NEpsDgdNbSZKaprILa8nv7IBu9Ni4u2mIcLfk9HJYUQFeBMf4ktyhD9alaLLsVY3NPP8xz+y5WAul44bzIMzp7tSSD7+bgXlVbW8/cRdXbK5V/y6jtq6ep55+F4xl/s0odGomXfX7dz9yNPc/8RzvPz0I6hVKgL8vHnv2fu546nXufPZN3n14Tm8O+8G5s7/jHlv/48375uJTq3g41/2IZfJ+Pz2sby5+jBfbsnnm+2FXJEWwdAoP3zcVLQaLZTWGzhU1sDO/Doqm9qRAP2CPZk9No60GD+SQ7xcN2cdWG12Nh4qYuHyXRRWNXLNuBRunz6Mh99ZTEF5DW/edx1rtu5i5YYd3Hr1xYxPH9jraywtr2Dlb+u5bPpkPNzdzsBZFRE5c3ROMxGTTP4c9NUhsbso9NB1/TvaUZFdtOJwD9Hd0bRn5lMrTv8LOEEkEnDTKJBIobHl6PEmRnjz/bo8rLYTK5V3aPbu4v1kKtS9VbjlMgkzxseec1VuEEX3GSU6MpyP3prPPY8+y50PP8V9c27hqkun9zo2ITqcj16cx13PvsWcpxZw+7WX8I9LzkcukzGifyxf//sOVmw5wOcrt/DsRz8w//PljB2UwJQRqQxPjmHKkFimDInFbneQVVrL9uwy9uZVsO1wCct2ZHd5Ln8vHTGB3ozrH0lKpD/J4Xo8depej6sDi9XK9+t28973a7DYbDw4cxqXTxjmEtF7M3P46NvlTBs3nPSBRy98m83G54uXkBgXw9CBqX/wjIoci1HpQ3n03rk8//o73PnQk7z05MN4e3ni5+PJwmfuZc7TC7j3+bd547E7efuB67nl+Y+4/80v+fCxf2K12Xl/5W7cNUoev3QAVwyL4H/bC1m8vZAvt3ZtXeyhUTA40pcbxsYyJiEAXzeVa19Tm5HDJbWU1TVTVtdCcU0T+/IqaGk3E+nvxav/nMyIfqG88MlPbNqfzYMzpyNzWFnw8TeMSxvAjVdM7f6yALBarbz6zvvI5TJu/MdVp/U8ioiIiJwoHYsmO9Pdy23s5sfuqMh2t58AHMitZXtGBU0tPSvgZwu7A5rahOPx8VDR3GYmNtSLmFCvYzb9CdHrulhNpBJ6zSzXqE5MmvZV4T5XBTeIovuMExjgz4dvvczjz7/K/LcWYmg3cMM1V/Y6Ntjfj49feojn3vmMtz9fwqpNO7nr+stJG9APhVzOxWMHc9GYQRzILWH5lv38tjOT1dsz8NBpmDQsiSkjUhkQG0a/cD39wvXccJ5QMWw3WWg1mpFKJbiplagUJ34ZGM0WVmzZz6IVmymtbmBYUhQPXX8hYQG+rjGFpZXMe/k9QgP9eeDmq7v8/qo1GyguLePFJx4Sq9xngEunT0ajUfPMy29w/e338OpzjxMfE4WPlwfvPnMvtzz2Cg++vJCPXpjHm/ddx6xn3ufxhd+x8KHZtBrNLFi6Db2njokDonhqxkDunZpMYU0LDW1m3NRyAj21BHtruryX5fUtrNyVw9oDhWSX1bm2K+Uygn3dGds/kjHJ4YxJjsDhsPPMB0tZsfUAN108lpEpUVz/wPOEBfnz1J2ze2S3V9fUcSQnj0+++oaDmUe469Yb8fP1OWPnU0RERORk6S6mzVY7iRHetJusLg/z9owK2oxW5FIJ1k5K9EhRAyu3Fp5U18czSX2zCcAltqVSCfZuStpTp2Ty8Aihmu+02YT6u7E1oxJXW8pOtB/DktKZ7jczv7fCfSYTT0TRfRbQajS89NTDPPXS67zzwWeolCquufziXse6aTW8cP8trNm6h9c/+Ya5z7xBfFQYMy4YwwWjh+Gu0zIgLpwBceHc/4+pbMvIY9W2gyzfsp8l63YTovdm6ohULhieQmSQ4C/TqBRoutlEjoXFamVvdjFrdwmivsVgpF9kMK/dPZVRqXFdM5Pzi7nz2TeRSCW89sgc3LQa1z6bzcaHi74mLiaKCWN6priInB4mTxxHWEgwDzzxb265ex5vvPAUA1KS8HJ3Y8Gjc5k970UenL+QL155jCduuoT73/yaz5Zv4ul/TODOhSt4fNEatKoLGJ4YhodGQWp4T5HrcDjYX1DFV+sPsv5gIQ4HpEYGcPu0oSRH+BMZ4IWvu9bVJROgoraRRxd+S0ZeKbdeNoErJw7llsdewW538OrDd7iuHavNxuIlP7F02WoKiksA0Gk1PP/4g5w/vmfTKREREZGzTXcht3JbIc1tFtf+dpOVtx+YCHRNPemrFKWQSbGcoG3jbHGkqKFLCENnsd3BzGlJzJyWxD2vreshzjs4US9295uZ3yu4z2TiiSi6zxJymYyn592DyWjijYUfEhsdwbBBA3odK5FImDRyCKOHprJi/Xb+t3wNL773Ja9+uJhRg1OYOi6dMUNTUSjkjBmYwJiBCRiMJtbvOcLPm/fx4U/r+eDH9UQE+pKWFE1yTCgJEUGE+Hl1yTy2WK3UNrZSWd9ESWUd+eU1ZBVVkJFfislsRaWQM35IPy4dN5jBCZFdxLbD4eD71Rt47aPFeHm4886TdxMRHNDldfy2fjPFZeW89ORDYvfJM0xSQhwfvf0Kd9z3KHc9/BQfvjWfmMgIUTLkFgAAIABJREFUgv39eHzOLO55/m0+W7qKm66czpTh/Vm0YjPTRg7g1Zsnc9vbP3H3f1cyY2QSN10wCF8PoTGS1WYnp6yOLUdKWL0nj8KqRjy0Kq6fNJAZI/sR6N27z7quqZVv1+zg85VbkEul/Pv2KxidGsfcp9+guLyaBY/NJdx57dTU1nHfE89xOCuXQanJ3D3tJlL6xRMXE4VWo+n18UX+HrQYzLQbhYrYsVIfREROlt6ytk+G3oTclOGRXawQHcJy0fJMlm8pdF3D3WWoSiFjyohIAHYdqeZ4eLkraW4199lq/vfQvVtmYoQ3uaWNWG09n6SzP3v0wJBeBeyi5ZnkljV12SaVgK9n1wjBY9F5YWrnGYO+xvW1v68Yx9OFKLrPIjKZjKceuofZc+7n4WdeYtHCBQQF+Pc5XqVUcOn5o7nkvFEcziti5YYd/LJ5F+t27MPH052LJ43isgvGEOzvh1atYurIAUwdOYDqhmbW7znCxn1ZLNuyn2/X7nTN6KgUcuQyKVabHZOl65SOSiEnOsSfy8YNYUhiFOnJ0T0ak4BgJ3npv1+yKyOL4QOTePrO2fh4eXQZY7PZ+GDR10RFhPWaVS5y+gnQ+/HOK88x6457efS5+Xz6n9dQKZWMHtqfSSMG8/F3K7h40iju/L8L2Lg/m/mfL+fN+67jg7su4ZXvNrNiVw7fb8nE31OHVCqhurHN9QU7MDqQh68aw+TBMb3OopRW17NpXzZbDuawMzMfm93B+WnJzLnyPDQKOXOeXsChnAJeuO8W0lL7AdDaZuCuh5+irKKK5x9/kPPGjRYtSSIu2o1W9mQJIiQhomecpIjI7+F4Wdsn9Bi9CLneqrd9eZI70HupufWyo2ufOqrdfXmhAVoNVq6YGMf363J7FcUni1Yl58LRQjTw2t0leOpUtBjMvSaXyGVSJIDFZj9mZ8nu50cmlfDwrGEnfJ67n7eOxabHGtdXFbt7tfx0J56Iovsso9Nqmf/Mo8yacy8PPPFvFr76PG7dGoB0p6PZSVJsJHfNuoKtew+x5JeNfLZ0FZ8uWcW4YQO44fKpJMdFAuDv7cGVk9K4clIaVpuNwvJackurqKpvpqnVgNVuRy6VotOo8PV0I8DHk7AAH4L8vJAdoyJd29DEh98sY8nqjWg1ah669VouO39Mr1XsX9dvoqC4hOcff1Cscp9FAv31PPHAXdz9yNN89MVibp99HQBzZ85g3Y59fPr9Su7/59XcPmMir3yxglXbDjJlRCpPXDue6yY2sO5AAaW1zdjsDgK83YgJ9GZYfAg+7j2rzkaTmWVb9vPdmp3klgriKDzQl2snj2T6qAFEh/hzJK+YOa/+l5r6Rl647xYmjhgMCDMnjz73MvlFJSx4/gmGDx185k6SiIjI35bjZW2fCL0JuZXbCruMWbo+jyC/Y/+tr2sykl3cwA8b8jFZbMhlUoYm+jNlRCRrd5ewI7MShUyGp07pakZjtdlZvqUQqaRnSxq5VIJUKulSte6grwY2BpOVxb/lEOijpaHF3CO2UCmXMiwpAC93tUtkH2+WoPv5sdkdZBc3nPB5PtHq9ImM6/hZ9HT/jYgIC+Hfjz7AfY8/xx0PPsbrzz2Br8+JVW5kMimjh/Zn9ND+VNbW8/2qDXy7cj3rduxjaP8Errv4fEYOTnFVCOUyGbFhAcSGBRznkfumorqOL376laW/bMRqs3HZBWO4+aoLe1S3O7DZbLz/2VfEREUwScxTPuuMSh/K5Enj+OKbJVxx0VT0fr6EBuq5cMJIvl+9kesuvYDLJw5j5dYDvLxoGdEheuLDg4gO9CY68PjXpcPhYPX2DN5a/AvVDc0kRgRx7zVTGD0wnlB/wQ/ebjTx/uKf+ejb5fh4uPOfp+8hNSHG9Rjf/7ySLTt288C/bhMFt4iIyBnjWFnbJ0pvQm7VtqIuY8xW+3FTOuwOulSsrTY7Ab460lOCyC5uINjPjfTkQOLDvXnh052u6nNru6XXx7PaHcj7mCw8Xk28slOHya7H6OChWWldtmUXN7BoxWG+XZPTq/Vj5rQklq7P6yL+T8bWcaLV6RMd1+EzPxOIovscYVT6UF5+6hEeee4lZt52N3fcdD1TzxuPTCY74ccI9PPhjn9cyqwZU/h+1Xq+/nkNd//7bWIjQph56QWcN3IISsWJL6DsjN1uZ8+hHL5btZ612/aCBKaNG86NV0wjNPDYX0qr126kqERILBGr3OcGt91wHb+t38x7n37JY/f9C4B/Xjmd5eu28e4XP/D0XbP59+1XcssLH3H7S5/yyA0XMWFIv2O+fza7ne0Zefx36VoyC8pJjAji6Vsu6+L/N5rM/PjbZj75fiU19Y2cN3II8269Fq9OOduVVdW8+d7HpA0eyJWXTDu9J0JERESkE31lbZ8s3YXc5OERPawk7SYriRHex4zZ62wR6bgJ6G6bSIzw7tXucbzHOxXEhnp1+bk3y0xRZQtlNa0ucb5oeWaPavvJ2DpOtDp9pqvYJ8JZE90JCQkewBbgwqysrMJu+xKA9wBvoBK4Oisrq++r8i/C2JFpfPjGyzz36ls8/fIC/vvpl0wcO5KBKUlER0YQ6K9HqTy+aNZp1My8dDJXT5/E6k07+XTJKp5842MWfPwtk8cMY8rYdJJiI47rj7Xb7RzJL2bttr2s3rST8uo6PNy0XHPRJP5v+kQC/Y4f1WaxWPjgs6+Ii44UE0vOIUKDA7nqkul89f2P/N+lFxIXE0Wg3ofrLjmfj79bwfQJw0lL7cd7D8/m/je+4uH/fONaiOvv44mPhw6JBEwWK02t7RSU17A3q5DqhhYCfDx44qZLmDZygEukG9qN/G/ZGr76eQ0NzS2kJsTwwn03M6BfbJfjstpsPPHCawA8et9c0cMtIiJyxukta/uPMnNaEgdya7sI7A4h2HmxHwje6cZWM5ZOwtRNo+DuqweRnhLEohWHuzx2bmnjSR2LSinFZP5jSSgyKcSFeTP/zrFdtne3dHSw+UAF2zMqSE8J6jHGU6fsIYgXLc9k1bYiHDiYMvz/2bvPqKiuLgDD78zQeweliIqMir33buy9t9hiSWyJGksSS9So0S+xx27svbdYYm/YjX3sDUFQEOkMw3w/UAICtkjT/ayVtWDm3jtnyGHcnLvP3p6ppoW8SxCdkavY7yJTgm61Wl0WmA94p/KcAtgKDNBoNLvUavVEYBgwNGNHmTnU+fKydPYUDh7zZfOO3azZtJ0V6zYDCbncjvZ2uOZ0Qe2Vl6KFClCuZPE0c8ANDQ1oUL089aqW5fTF62zcc4QNuw+zesd+nOxtKVnIG3Vud3I42mNuZkp8fDwhL8LwCwhCc/chF67dIjQsApVSSeki+enVrjE1ypVIdTNlWlau38IDv8dMHT9KVrmzmG4d27Bjz34mTZ/D3CkTUCqVdGtZn30nzjFy6iKWTPqBnA62LB3di32nr7L50Fn+Pn2FkLCUtxmdbK0omNuV79oVpnIxNUYva7/r9Xp2HT7FjGUbCQp+ToUShejcrA7FC+ZLNaCe8+dyzl+6wpjhg8jp8uEpUEIIkdVM7l8lRTWN1KprvHo86Ypx/QqeiX8IvJ424fWWpjSv+68BN0Dd8rkp7u3InI0Xk90RSK3Bzyuv8uNfP6ZOuVzJjnv9vb/6OisFzx8qs1a6ewB9gGWpPFcCiNBoNLtefj8esEnluE+WQqGgeqXyVK9UnqioaO7cf8Cdew8ICAziccAT7j/0Y9OOXazeuBWVSkX1yuXp2KoZPvlT/A0DgFKppGyxgpQtVpDQsAiOnLnI4dP/cPridf46dDLV13fP4USlUkUoUzg/FUoWSnb7/10FPAlkwfLVVKtYjoplS733+SJ9WVtZ0r93N8ZOnsbG7bto2bg+JsZGTBrSm27DJvLNqN+Z+lM/3HM4UadcYeqUK4xeryc0IorI6ISGCIYqFVYWphinkrYUEBTM+DnLOXH+CgW9PJn4fc9kedtJ6fV6FixbzZJV62naoA71alVLz7cusikpEyiyk9RKDyZdeX1TdY2kqRGmxgaJq8PeHrZERMdRsUgOHgWGpwjeTY0NUgTgCkXCf/Efqcy3saEKcxODVKu8vBr3gbMPk226NFApE/Pj35b2kdpqeXqX8ssomRJ0azSarwASskhS8AIC1Gr1QqA4cA3ol3Gjy1pMTU3wye+dIqCO0+m4fPU6+48cZ9uuffx98CiVypWmT/cv8crjmeb1rC3NaVi9PA2rJ6R6hISGERj8nMioaJQKBTbWljjb277XanZqIiIj+X7UeJQKJQP79PhP1xLpp1Gdmuzed4hpcxdRtmQx3F1zktcjJ9NHDmDQhFl0+v4Xvmxah+Z1qmBjaYFCocDGwgwbC7M0rxkTq2XtzgPMX7sdvV7P91+1pWXdqqne6dDr9Vy6qmHBslWcOH2OBl/UYOiAr9PzLYtsTMoEiuzibaUHl+28ysaDt5Kf81pg+errpIG5SqlAF6/HUKWkaD4HvD1sE4/tVL8gfSfvTzEWSzMjXkSk3UbeyECJQplyBbx1zXwArNt3M3GjpYudGXndrJPVFn+9ysursZy87M+uE/cAqFveM9n7f1PaR2qr5YYqZWJ6SnaWFTdSGgDVgCoajeaMWq0eC/wOdMnMQWU1BioVxQr7UKywD726dGDtpu0sW7uRjr0G0LpZQ3p+2f6tpQcBbK0tsbW2/Khj838SyKiJv3Pz9l1+GzfijbXHReZSKBSM+L4/7b7qx4jxvzF/6kQMDQ0pmj8vi38dzpQ/1zF75RbmrNpKSR9vvHO74eriiIOtNTaWFliYmWJkZEh0dCxPngVz7spN/jp0kpAXYVQqWZjBX7XF1dkh2WvGxcVx8ep1fE+fY/+R49x/6Ie1lSXf9u5O+5ZNJI9bCJHtvan0YFr1uZM2zHm1Cvz6qu+rDZNaXTxnrgfyz82nFM3nkBjUphawphZw21kZJ7Zwj42Lp2KRHJy45J+i/nen+gXxCwrn2EV/IKGKyeuVTFRKRapVXj40N/5VML7b9z7auHhitDpu+YUyefnZD6qbnpVkxaA7ALip0WjOvPx+FbA+E8eT5ZmbmdG1Q2uaNazLnD+Xs3rjNnbvO8zX3TrSsG4tDN6jAsqbhL4I49bdezx89JigZ8HExCb8IpuZmmBsZExcXBy37t7nwJHjAPw8fKCklWQDLk6O/DSoH8PGTOTX6XP4cWDCBkY3F0d+G/4Nt+778dchX05dvM6G3YeJiU29HBWAoYEB5YoVpF2jmpQqpE4WQF+/cYs1m7dz6JgvYeEJewWKFfahfcum1K1ZVTpMCiE+GW8qPfh6IG2gUiS2ME+tMsmbvAq+L91+xvcdSyYGrJsO3U62ETMpM2MVuteqmJy6GoClmRGhSQL0VyvvjwLD3ziG962z/S5erYTP2XiRHcfuAh9eNz0ryYpB93HAUa1WF9VoNP8AjYCzmTymbMHG2oph335Dk/pfMHnGXH75fSbL122iXYsm1KlRFQvztFMCXhcVFc2N23e4cv0Gl6/d4IrmBo/9nyQ7xtDQAL0+YeXyFXs7W2pVq0TvLh1wkRXubKNm1Yp069CaRSvW4uRgT48v2yUGzF65XOn3ZQsgoaJNcGgYz0JCCQ2PIDwyitjYOEyMjbCzsUSd2wPj1yrsaG7d4Y+FSzl+6iymJibUrFqRyuVKU6ZEsXe6GyOEENnNm0oPvr4a/SrghpQBeVRMHK1rvr3DZIxWx6/LzmBmbECdcrkY2qlUstrdSTWslCdFsx5tnJ4wXfIV8Vcr72/aHPnKx865frXa7+ZkgbGh6j/VTc9KskzQrVardwIjX6aUNAPmq9Vqc+AR0ClzR5e9FPD2YuH0SRw85suCZauZOPUPfps1j/z5vChWqCBurjmwtbHGxNgYvV5PdEwMz0NfEBj0lPuP/Lh95z73Hj5C/7JXvLOTAz5qb1o0rEe+vLnJ5e6Ko70dhi83z8XGaonVJqx+vk9gL7KWXl068CToKfOXruKB32OG9OuN1WsbaJVKJQ621jjYWr/1es9DQ/lj4TI279yDpYU5fb/qTPNGdbG0eP9NuUIIkd2klV7xpo2EqTV0eT23Oy3auHhC42JZu+9mmrW7vVyt07xe0sMrFsmR6qbOV4H4Lt97vIj4967nx2yf/vpqf8UiORI7XmbnVW7I5KBbo9F4Jvm6fpKvTwJlUjtHvJtXFVCqVSzHles32Hf4GP9cusqaTdsSA+TUzsnp4kweTw9qVatE/nxeFFR74WD/5nrcRkaG71Q/XGRtSqWSkd8PwN01J3MXr+DQMV9qVqlIEZ8CeHq44eTggK2NFWampm/Mu37o95jNO/ewfstOYmJiaNe8MV992VaCbSGEeCmtjYRpBeSvVzN5FBieZudJAE0qJQSNDVW0/UKd7HoHzj4k+EVMigDdxtLkjeNNq9zhx/D6av+jwPAUXS+zqyyz0i3Sh0KhoFABNYUKJPyi6XQ6gp4+I/RFGDGxWvToMTMxwdLSAgc7WwwMZEp8zpRKJd07tqFqhbKs3riV/UeOs2NP8t3whoYG2NrYYG9ng72NDdZWVqhUKiKjIrlz/yF37j1AoVBQu1plvurUlty53DPp3QghxH+XXsFlWt4UkCcG30mqo6Tm9TVuBdCkSh6AxNrar1cZ+efmU7S6+HdO40ivxjPv2r49O5II6zOjUqlwcXaSfGvxRl55PPlpcH9+HNQPP/8n+PkHEPT0GcEhzwl9EUbw8+c8Cw4h6Fkwt+7eJz4+HmNjI3K5udKgdg2+qFEFF6fsnXsnRFYRp4sn8GXFCFMTAyzN/ltJV/Hu3lRLOzMlzRl/HhadWF0kLXrgjl8oWw7fIUarY8exu1QskoNhncskpsGkVlc8M2TF9u0fiwTdQog0KRQK3HK64Jbz01lpECK7idHquHjrKQAl1E4SdGeg11MdslKTlqQ5469W4+N08fgFRQCgVIBKqUSrS6hi4hcYnmxl/NhFf5btvJr4fj60xF96yGrt2z8W6csthBAiSwqLjCUwODLxP+lCKTLa66kNHyPV4eRlf+ZsvMjJy29enX6fczrVL0hZH5fEgBsSNkY62f1bitX/tfrakHr3R5F+ZKVbCCFElpS0AyVIF0qR8T52qsPbOlX+l3NSC6CfvBZomxmriIz594/XTylfOjuQoFsIIYQQIg0fM9XhTZ0q/+s5qdXT9nKz4XqSSiYNKyVspvwU86WzAwm6hRBCiGwi6aZKAKUS4l82HpRNllnfmzpVfsg5qVVW2XzoNlpdPGoPWyb3r5LqMRJsZw4JuoUQQohsIummSkhIuXlVk1k2WWZ9b+pU+crrVUTSOie1yioAsS/bv1+/H5K4UTKtIDujyyF+7iToFkIIIYTIIG+qEpJW/nZq56RWWSXF9d5QbSW9yiFKIJ82qV4ihBBCCJEFpJa/nZbUKqu8T7WVdwna39erQP5+QBhr991k2c6r//manxJZ6RZCCJFlhEXGEhUdByAlAsVn531yvt9UWeVdVprTo/NjVq5rnhVI0C2EECLLSFomUEoEis/Nu+R8J5Vavva7VltJj86Pn3IL949Bgm4hhBBCiCwiIztDfuzOj59yC/ePQYJuIYQQQgjxUXyqLdw/BtlIKYQQQgghRDqToFsIIYQQQoh0lmnpJWq12go4DjTUaDT3XntuFNANeNW7dL5Go5mVsSMUQgghso+k3SqlO6UQWU+mBN1qtbosMB/wTuOQUkBbjUZzIuNGJYQQQmRfSbtVSndKIbKezFrp7gH0AZal8Xwp4Ae1Wp0LOAwM1mg00Rk1OCGEECI7S7rqDWmvfCetiy6r40Kkr0wJujUazVcAarU6xXNqtdoCOA98D9wCFgMjgB8zboRCCCE+pjcFd9IQ5+NLuuoNaa98J62LLqvjQqSvLFcyUKPRhAP1X32vVqt/AxYhQbcQQmRbSYO7Il4OiUE2JASIV+48A6QhjhDi05Xlgm61Wu0B1NJoNItePqQAtJk4JCGEEB/R66uwEmgLIT4HWS7oBqKASWq1+gBwj4Tc702ZOiIhhBDiEyHpPEJkjiwTdKvV6p3ASI1Gc0atVvcCtgFGwFHgt0wdnBBCCJGNJd1YmVY6z7tuvhRCfJhMDbo1Go1nkq/rJ/l6A7DhAy6pAggICPjPYxPiXdWsWdMTeKTRaOLedmwqZM6KDJVZ8zVaZ0BISELrhZgcZolfv/59Wl+/63Fy7dSPexFhxvmrfgAUL+ia6nFJjwEoW8SdJ0EJ08TYUIEi/v0yPfVKQ2K0+g8+/5X/MGfl81VkuDfN1yyz0v2R5ADo0KFDZo9DfF7uArlJSId6XzJnRUaT+Sqymw+dszJfRWZIc75+akH3aaAy4A9IoprISI8+8DyZsyIzyHwV2c2HzFmZryKzpDpfFXq9PqMHIoQQQgghxGdFmdkDEEIIIYQQ4lMnQbcQQgghhBDpTIJuIYQQQggh0pkE3UIIIYQQQqQzCbqFEEIIIYRIZxJ0CyGEEEIIkc4+qTrdarXaAHDjw7utCZGhZM6K7ETmq8hOZL6KrOaTCrpJ+OW6u2/fvsweh/i8KP7DuTJnRUaT+Sqymw+dszJfRWZIc75KeokQQgghhBDpTIJuIYQQQggh0pkE3UIIIYQQQqQzCbqFEEIIIYRIZxJ0CyGEEEIIkc4k6BZCCCGEECKdSdAthBBCCCFEOvvU6nQLIYQQQog3CIuMJSr6335BpiYGWJoZZeKIPg8SdAshhBBCfEaiouM4pwlM/L6E2kmC7gwg6SXpaObMmbRs2ZK2bdty8eLFFM+fOXOGVq1a0bp1a2bOnPnO5wmRHt427y5cuECrVq1o27ZtsvkKcP/+fRo2bJhRQxUC+PA5++uvv9KmTRtatGjB2rVrM3LIQojPmKx0p5MrV65w6tQp1q1bh7+/P/369WPDhg3Jjhk/fjzTpk3D3d2dTp06UaNGDfR6/VvPE+Jje5f5OmrUKGbMmIG7uzs9e/bkypUr+Pj4sHnzZpYuXUpISEgmjV58jj50zoaFhfHgwQPWrFlDbGwsDRo0oE6dOlhbW2fSOxFCfC4k6H7Nxo0b2bBhA/Hx8fTv35/y5csDCavS06ZNS3Zsly5dqFmzZqrXOXv2LJUqVUKhUJAzZ050Oh3BwcHY2dklHrN27VoMDAyIiIggPDwcGxsb/v7777eeJ8QrGTVfw8PDiY2NxcPDA4BKlSpx4sQJfHx8sLa2Zvny5dSuXTsd36n4VGT2nO3UqRMFChRIvI5Op8PAQP4pFEKkP/mkSYWVlRWzZ89O9lipUqVYtmzZO1/jVRD9irm5OWFhYcmCZwMDAy5cuMDAgQPJmzcvdnZ273SeEEllxHwNDw/HwsIi2fMPHz4EoHr16v9l+OIzlJlz1tjYGGNjY7RaLcOGDaNNmzaYm5v/x3ckhBBvJ0F3KnLnzp3isXdZhenVqxeRkZF4e3uTK1cuIiIiEp+LiIjA0tIyxXWLFSvG/v37mTJlCvPmzcPGxuadzhPilYyYrxYWFimet7Ky+phvQ3xGMnvOhoaG0r9/f8qUKUOvXr0+2vsSQog3kaA7FUplyv2l77IKM3fu3MSvL1++zOTJk+nevTsBAQHEx8cnW63W6/V06NCB2bNnY21tjbm5ObGxsZQoUeKN5wnxuoyYrxYWFhgaGvLgwQPc3d05evQoffv2/XhvQnxWMnPORkdH06VLF7p27Urjxo0/3psSQoi3kKA7nRQqVIhSpUrRpk0b4uPjGTlyJAAnTpzg7Nmz9O3bl27dutGjRw+MjIxwdHRk3LhxmJubp3qeEOnpXebrzz//zODBg9HpdFSqVImiRYtm8qjF5+xD5+zixYt5+PAh69atY926dUDCpnZ3d/fMfDtCiM+AQq/XZ/YYPhq1Wu0J3N23bx9ubm6ZPRzx+VB86IkyZ0UmkPkqspsPmrMyX9MWGByZok63k51ZJo7ok5LmfJU63UIIIYQQQqSzLJleolarvwKSJozmBpZpNBpJIhVCCCGEeAdJ271Lq/fMlyWDbo1GswBYAKBWq32AzcDozByTEEIIIUR2krTdu7R6z3zZIb1kNvCDRqN5mtkDEUIIIYQQ4kNkyZXuV9RqdS3AVKPRrMvssQghhBBCZHVJU0pitLpMHo1IKksH3UAv4PfMHoQQQgghRHaQNKVEncs2k0cjksqy6SVqtdoIqApszeyxCCGEEEII8V9k5ZXuIsANjUYT8dYjhRBCCCHEB4nTxRMYHAlIlZP0lJWD7jzAo8wehBBCCCHEpyxGq+PirYR6FVLlJP1k2aBbo9GsBdZm9jiEEEIIIYT4r7JsTrcQQgghhBCfCgm6hRBCCCGESGcSdAshhBBCCJHOJOgWQgghhBAinUnQLYQQQgghRDqToFsIIYQQQoh0JkG3EEIIIYQQ6UyCbiGEEEIIIdKZBN1CCCGEEEKkMwm6hRBCCCGESGcSdAshhBBCCJHOJOgWQgghhBAinRlk9gCEEEIIIUT6itPFExgcCUCMVpfJo/k8SdAthBBCCPGJi9HquHjrKQDqXLaZPJrPU5YNutVqdSNgFGAO7NFoNAMyeUhCCCGEEEJ8kCyZ061Wq/MAc4CmQBGghFqtrpe5oxJCCCGEEOLDZNWV7mbAGo1G8whArVa3AaIzd0hCCCGEEEJ8mKwadHsBsWq1eivgAWwHRmTukIQQQgghhPgwWTXoNgCqANWAcGAr0BlYnHlDEkII8TmKiIzk1p173Lp7n/sPH6HTxWNjbUX1SuXxyuOZ2cMTQmQTWTXoDgD+1mg0QQBqtXoTUAYJuoXINAGBQSxfu5kLl6/xLCQE95w5KF28CK2a1MfG2iqzhyfEBwsPj2Dn3wc46nuagCdBxMTGgEKBPl5PeEQEYeERiceamBhjZGhIWHgE85aspFSxIgz/rg8ebjkz8R0IIbKDrBp0bweWqNVqGyAMqAdsztwhZb6AJ4Fobt/l2bPRa3s9AAAgAElEQVRgAIyNjbGwMMfa0gJLSwtMTUxQKhTE6XQ8D33BY/8n3H/kx6PH/rwIC8fI0JBc7q6ULFqYUsWLoFKpMvkdiexi0449TJ45j/h4PaWLFyFfXk/uP/Bj/rI1LF27ifYtGtOlbQtMTU0ye6hCvJdDx3z5edJUwsIjyJ3LHc9cbpiZmBKvj0epVGJuZoaTgz15PD3Ilzc3zo4OKBQKQp6H8tffB5i/dDXte/Tj626daNu8kXyuigwXFhlLVHRc4vdSgzvrypJBt0ajOalWqycBRwFDYC/wZ+aOKvNERUXzx6JlrNu8HV18/Hudq1AocHK0x8bKipjYWA4d8+XPlevImcOZds0b07RBHUyMjdNp5OJTsHTNRmbMX0r50iUY/m1vcjg7JT539/5D5i9bw6IV69i59yBftmlGvZpVsbAwz8QRC/F2er2euYtXsHD5Ggp4ezF0wNf45Pd+5/Ntbaxp37IptatVZsLUP5g6ZyFb/tpD66YNqVaxHA72duk4eiH+FRUdxzlNYOL3UoM768qSQTeARqNZBCzK7HFkNr1ez8gJv3Ho+EmaN6xLwzo1cXJwQKlUEBUdzYuwcMLCwwkLjyAqOgZ9fDwqlQobaytcnBxxd8uJsZFR4vWioqI5duoMazZu47dZ81myegOd27aQ4Fukavf+w8yYv5Q61SszeugADAySf2TkzuXO+J8G06pJPabPXcKkGfOYNGMeLk6O2NnaYPtyHnrlyUXhAmq88uSSlUCR6WJjtfw2ax4bt++icd3aDB3wNUZGhh90LUcHe34b+xP7Dh9j8cp1/DptNr9Om42DvR3Ojg7Y2dpgZ2uDh2tO8nt7UaxQwQ9+LSFE9pZlg26RwPfMeQ4e86V/z650atP8P1/P1NSEWlUrUatqJc5euMS8pSv5bdZ8FixbTeO6talfuzp5c+dCoVB8hNGL7OzytRuMmTyD4oULMmpI/xQBd1LFC/uwaMavXLqm4eyFy9x98JDnoWEEPQvm0jUNG7bvAsDK0oIyxYtQsVwpqlUsh4W5WUa9HSEAuHbjFmMmTePW3Xt0bteSPt2//M+fdwqFglpVK1GzSkU0N29z7tIVbt6+S9DTZwQEBnH5moaQ56EAmJmaUrdmVdq1bIKnu9vHeEtCiGxCgu4sTK/Xs2DZapydHGjbvNFHv37JYoWZW2wC5y5eZs3Gbaxcv5llazfimsOFMiWKUrZkcUoVL4K1leVHf22Rtd25/5CBI37B0cGOSaOHYWj49pU5hUJBkYL5KVIwf7LH9Xo9AYFBnL90ldPnL+J75jx/Hz7ORKM51KtVlZ5ftsPRQW7Fi/Tz6g7f7n2HOHjMFwd7O34fN4LK5ct81NdRKBTk9/Yiv7dXiudehIXzz+WrHDh6gu2797Fl5x46tGpGry4dZOVbiM+EBN1Z2PFTZ7l45RrDv/3mnYKeD1WiSCFKFCnEs+AQDh0/yVHf0+w5cJhNO3ajUiqpULYUbZo2pGyp4uk2BpF1nLlwieFjJ6NSqZg6fuR/rkyiUCjI4exEDmcn6teqhl6v58r1m2zbvY9tu/exa/9hvu/Tg8b1an2kdyAEPHj0mKMnT3Pi1FnO/XOZWK0WOxsbunVoTcfWzbC0sMjQ8VhZWlC5fBkqly9D368688fCpSxds4HzFy/zv7E/YWdrk6HjEUJkPAm6s6jIqCimzllIThcnGternSGvaW9nS/OGdWnesC5xOh1Xrt/g8LGT7Ni7n75DR1K2ZDF+GNiXnC7OGTIekbH8/J/w58p1bN21j1zurvw25od0KYOmUCgoVMCbQgW86dS6GeOn/MHY32aiuXWHQX2+QqlUfvTXFJ8HrVbL1l1/s2n7LjS37gDg6eFGy8b1qVy+DMWK+GCQBfYU2Nna8NPg/lQoU5KRE3+nx4ChzJs6EXs72QAnxKdMgu4sKC4ujjGTpnH/oR+zJo99Yy5tejFQqSjqU4CiPgXo1aUD67ftZP6SVXT+ZiATRw2jZNHCGT4mkT7uPfRjyeoN/PX3IVRKJW2bNaRXl/aYm5mm+2u75XRh+sRRzJi/hJXrtxIVHcNPg/pI4C3e29l/LjFm0lQeBwRSwNuL7775imoVy2XpRYIaVSpib2dLnyEjGDRiHHN++wUTEym7KcSnSoLuLCbkeSgjJ/yG75nzDOjVjdLFi2b2kDAyMqR9iyZULFOKQSPG0m/oSKaMGynpJtlcdEwM85euZsX6rRgYqGjZuB5ftmmGk4N9ho7DQKXiu97dMDc1Zf6yNRgYqBj+7deymVe8syvXb/DdD2NwdLBn2oTRlC9d4qPMH71eT1Dwcx48DuRx4FOePX9BVHQMhoYG2Flbks/TDXVuD4z/Q0520UIF+eXH7/l+1HgmTp3N6GHf/edxCyGyJgm6s4iIyEh27NnPgmWrCY+I4KdB/WhS/4v3ukZkVDRnLms4e1nD7QeP8Q8KJvRFONGxscTpdBioVJibmmBtaUEOJ3tyu+XAJ58npYvkx8by7fmNudxdWTh9Ml8P/pFBI8cxfeLPlChS6EPfsshEsbFa+g8fw/mLV2hUpyZ9v+r0xpxSvydPOXnxOrcfPCY0PBJDAxUOttbkdLLHzcUBz5wuONha/adAp2fndsRq41iyegMOdrb07Nzug68lPh/R0dEMGjEOWxsr5v4+/q31sXW6eAKeBuP3JIinIaE8fxFOWEQkEZHRhEdGER4ZRWhYBCGhYfgHPSM6JjbZ+Uqlgvh4feL35qYmVChRiKa1K1G6cP4P+h2oWrEcX3Vqy/ylqyhdoigNvqjx3tcQQmR9EnRnEp1Ox62797ly/Qanz//DiVNniYiMolihggz99hu8cud6p+vEarX4XrjKX4dOcuTMRWJitRgbGZLHPSfenm7YWltiamyESqVCp9MRFhFFyIswHgc+48yl66zYGodSqaB4wXzUr1qOGuVLYPGGtAJrK0tmTRpLz++GMXjEOBZMm0QeT4+P9WMRGWTSjHmcv3iFMcO/o17Nqqke8/xFOLuPnWXHoZNcv/MQSAgwbK0s0MbpePo8FJ3u32ZNFmamqHO7USx/XiqXLESBvB7vHYD06d6RZyEhzF+2BhdnJxrXrfnhb1J8FvYePMqz4BDmvCHg1mrj2Hv8DHuOnObC9VtEREanOMbc1AQzUxMszE2xsTQnt1sOyhUriFsOR3LlcMbVxREHW2uMjQzR6eJ5GhLK9TsPOHbuEgdPXmDvsTPkz+PBgM4tKVVY/d7vo3vHNpz95xK/TpuNT/58eHq4v/c1hBBZmwTdGezcxcusWr+F0xcuEhERCYCDvR21qlaiSf0vKFRA/dZAJTwyisOn/uHAyfOc/OcaUdExWFua07hmRaqXK07R/HkxeodqJ1ptHNfvPODo2UvsPXaGsbOW8uu8lVQsWZh6VcpSsWShVK9ja2PNtAmj6dp3MAOGj+bPmf+T7mvZyKWrGrb8tZfObVukCLj1ej2nLmlYt+swx85fQaeLJ39ud/p3bEqV0oVxd3FMnJ+6+HgCnz3noX8gD/wDuf3Qn2u3H/Dnxt0s3LALL4+ctG9Yg/pVSr9zjrZCoeDH774h6Okzxk/5g5wuTpQqJvsHRNr2HjyCh2vONO+63X/8hIHjZ/Hg8RNyOjtQp1IZ8uf1wN3FCUd7G2wsLbAwM0Wlevd9BAYGKlwc7XBxtKNa2WIM7t6WXYdPsmDtDr4e9Tt1KpdhULfW2Fq/e7lVlUrF2OGD6dCrP8PG/MqiGZMxM03/fRVCiIwjQXcGiYuLY/jYSRw8egI7Gxu+qFaZ4kUKUaiAN245c7zTiuDlG3fZvPcIu46cIiZWi5OdDfWrlqVy6aKULVIAA4P325VvaGhAYXUeCqvz0LtdYy7duMOeI6fZe/wsB3zPY21pTt0qZWlZpyqebi7Jzs3p4sy08aPo+d1wBv40lrm/T8DUVDYAZQerN23HwtyMbh1aJnv8+p2HTJy/mqu3H2BnbUm7+tWpV6U0+XK5pnodlVJJDkc7cjjaUabIv7W5n4dFcPDkBdbtPsKYP5azdtchBnZpQbH8ed9pfAYGBkwcMYRuA4YxZPREFs2YhKd76mMQ4sbtu2nmcGvuPKDPz1NRKBRM+aEvFUsWeu+7LyEvIrjtF8ijwGCehYaj08VjbWmGh7M9xdW5MDEyxNjIkCa1KlGnchmWbNrF4o278L1whe+6tKJe1bLv/Eenk6M9434YTP/hoxk7eRq//DRENhWLLCMsMpao6LjE701NDLA0M3rDGeJ1EnRnkPnLVnPw6Am+7taR9i2bvlfL9Yua28xavplzV25gYmxE/arlaFijPIW987zzPyA3HvizZu9JLtx8gF9gCCqVEhc7a3zyuFK7bCHKF/aiiDovRdR5+bZrK07+c43t+4+zcfdh1uzYT6VShen/ZQtyu+VIvGZ+by9++el7Bo/8hZ/G/49Jo4dLi+8sLjZWy6HjJ2lUp2ayVbRdR8/w88xl2FhZ8FPv9tStXOqd7pakxsbSnKa1KtKkZgX2HDvLjOVb6DlyKjXLFefbL5vh7PD2smgWFuZMGfcTXfsNYfDI8SyeMQkLC/MPGo/4dEVERvIsOCTVzo56vZ7xc1ZgZGjI3LGDcM/hlOZ1YrRaHgc951FgMI+fPufhk2fc93/KrUeBPAsNT/M8U2NDapX2oVujKrg62WFibESvto2pWb4k42cvY/SMxazbdZC+HZtTspD3O31ely1VnL49OjN97p/Y2y1gUJ8esqlYZAlR0XGc0wQmfl9C7SRB93uSoDsD3Lp7n8Ur19GwTk26dWjzzueFhIYxdfF6dh7yxcHWmu+6tqJprUqYvceKcqw2jknLdrD1yHnMTYwoXTAPNUsVJF6v5+GTYE5euc0u30u42FvTrVEVGlYqhoFKRcUShahYohDBz1+wae8Rlm3ZQ7tvx9C9VX26tqyfWOu2cvkyDOrTk8kz5vC/mfMY0r+3/AORhV2+foOYmFjKJak8c+LCNUbPWErxgl5MGvwVlu/Ymj1GG0fAs1BCwiIxNTbE2dYKG8t/z1UoFNSpVIoqpQqzfNs+lm75m2Pnr9CxUU2+bFILE+M3f1i75nBmwojv6TNkFKN+ncb/xgyXuSWSCQx6BoCTo0OK546evcTVW/cY0efLFAG3Lj6eE5ducfj8dS7ceMCDgGfE6//dHGlmYoSHiz3lCuXFy80ZL3dn3J3tcLSxxEClIvhFBDce+HPg7DV2HvuHnScu0u6LcvRoUg1TYyO8crmyYPwQdhz0Zc6qrXw96nfy5XKjdqVSVC1TlNxub7672bFVM54+DWblhi2YmpjwTfdOMveF+ARI0J0B9h48AsCAXl3f+ZwDvueZMGcFYZGRdGlel64t6r1XsA3wNDSMYTPXcvHWQzrVq0iXhpWwfG2TZFycjmMXb7J4xxHGL97G+v2n+aFzIwrmSbidb2djRfdWDWj+RRWmLF7HvDXbOXP5BpOH9sbq5cpj66YNCHgSyLK1G3FydKBr+1bvNU6Rca7fuA1A4QLeAERFxzB29nLyuOfgt6G9MDNJuAOj1+sJCH7BncdPCYuMJipGS3SslpCwSPyCnnPLL4gHT56hS1LFASB/LhfqlilIk8pFMX95LVMTY3q0qk/DauWYvmwzC9b/xfaDvoz4pgOlC715w1nJooXo37MzU2YvYsO2XbRsXO9j/0hENvY44AkAOZwdUzy348AJ7KwtqV+tXLLHT125zZRVu7ntF4i5iREl8ntSs3RBcrk4kNPRFldHW+yszN8Y5NpbW1C+cD7KF85HjybVmLNxP8v/Os6+U1cY0b0ppQrkRqlU0qhGBWpXLMX2AyfYceAEf6zYzB8rNpPbLQd1Kpemae3K2Nuk7PiqUCgY0LsbUdHRLF61jqjoKAZ+00NSTUSGiNPFExicsOdMUkg+Lgm6M8DpsxcoVECNjbX1W4/V6eKZuXwjy7fsJX8eD/7o9x1eaeTUpiVGq2Xf6atMW72byJhYfvm6JbXLpL7JyMBARdUS+alSXM2+M1f5feVfdBu3gPZ1y9OzaXVMXtaftbW2ZMyAbpQrWpBxfyzjqx8nM2PEgMRUgb49OhP0LJg/Fi7F3s6WxnWlpXdWdPXGLRzt7RLLA276+xhPQ14wcWB3zEyM0cXHs/PEZRbuOMbjp6EpzlcpFTjbWZE3pyPVinvj6WKHraU50bFa7gU84/CFm0xdt5/5247RqnoJ2tUqje3L1e8cjnZMGNiNc1dvMX7uKvqMmUn7htXp26HJG7sEtm3WkBOnzzNt3mKqViiLo4Ns2hUJ7j14BICba/LOqRFR0Rw9e4nGNSsmm1vbjpznlz+34upoy9heLahRqgCGaTQfi9PFcycghGsPg7j6IIg7ASEEhIQTo43DxtyE3M62VC6Ui2qFPRnRvSmNKhdn7KItfDNpCfUqFKFfq9o42FhiYmxEy7pVaVm3Kk+ehnD49D/8ffwsc1ZtZf7a7TStVYmv2zfF2jJ5+pRSqWT4d30wNTVl5frNhL4IZ9SQAZnSLE18XmK0Oi7eegpICsnHJr+96Uyn03Hz7j2a1q/z1mNjYrUM+99cjp65RIs6VRnUrTWGhin/F72IiOLqXT8eBDwj+EUEkTGxxMQmrEQGhYShue9PWGQ0ag8Xfu7ZnDyu/95ajYzRsvLgJbb4XifweQTGhirKeLtSr1Q+apQsSDmfvMxYu5flfx3n0LnrjOrelCL5/i0JWL9aOZzsbRk88Q++GT2F+eMGY2djhVKpZNSQAYQ8f84vv83AzNSEWlUrfZwfovhoLl65RhGfhE2P8fHxrN99hKLqPBRR5yFWG8egmes5ee0ePp456FC7DGoPZ6zNTTExNsTY0BArMxOUyrRXALvUK8/Ve/4s232SJbtOsGb/GZpVKUbr6iXJ6ZAQ6Jco6MWyX4cwc8UWVm4/wO0H/oz/rmuaaS1KpZKh/XvRuntfZi1axughAz7+D0ZkSyfPnsfDNScOr7VPP3b2EjGxWmpXLJX42G7fS4xdtIWyPnmZ1K8Npq+lNz0JCefsrcdcvh/E9UdPufX4GTFaHQCWpkZ45bSjtLcrJoYGBIdFce1hEAcv3eP3TcdpVcmH9tUKs+Ln3izafoQVu45z+Nx1OtarSJvaZbF4eZfS2cGWVvWq0apeNe4/fsLq7fvYtOcI+0+cZ+y33ShbrGCyMSkUCr7t3Q0bayv+WLiUsPBwJo3+AaP/0IxHCJF5smzQrVarDwBOgPblQ700Gs3JTBzSB3n0OIDo6Bjy5fF843FabRzDJs/l2LnLDO3ZnpZ1U5ZyO3xew4YDpzl55Tav0g+VCgWmxgm7540NDbC3tqBayQJ8UbYQpV/e4nzlSUg4gxbs5ubjYMoXcKdhGW9CI2I4euU+R648wNvVnsHNKzC8SyNqlvHhlz+30mPCIjrUqUCv5tUxfrmxrlRhNdN+6kefn6cyYNwM5o4dhJmpCQYGBkz++Uf6DRvJyAm/YW1lmSU6aooED/388X8SRMdWTQG4cP0Oj548pUer+uj1en5dsZuT1+4xpP0XtKha/INzSAt65mBCr6bcefyUxX+dYM2+M6zZd4bapQvSq0llXB1sMDUx5vvurcmfx4MJ81bTe/R0pv/4Taq32iGhXXzrpg1YtWEb3Tu0xt01R6rHic9HQGAQp85eoH3Lpime27rvGM4OthR9WTHn7uMgxi/eStF8Hvw2oB1GLxczXkTGsOPUDbafusEt/2AAzIwNye/mQPMKBSjg7kgBD0fcHVI2ftLr9Vy+H8iKA5dYsu8C645eoVONonRrVJWGFYsxfe0e5m46wKo9J2j3RflkwTdArpzODO3ZnuZfVGHE1IX0HzedAZ1b0r5R8ruECoWCru1bYW1pwYSpfzBywm/88tP3smn9M5S0eoikfWRPWTLoVqvVCsAbyKXRaOLednxWduvOPQC83hJ0T1qwiqNnLzG8dweaf1El2XNPgkMZu3ALp67ewcXemi4NKlOyQG7yuDpia2mO6i15fnq9nv3/3GXyhuPExsUxtWddyhf4t/HC4OYV2HP+NrN3nKbXzG20quRDn4ZlWDnma6av3cPyXcc5dvEm43q3IJ97QunAogW8mDi4F4MmzmLMzCVMGNwThUKBqakJv40dQa+Bw/nuxzHM/X0CPvm93/8HJz66oyfPAFChTAkA9hw7i4mxEdXKFOHg+RtsO36J7g0q0LJaife+dmycjlitDmNDFYYvS1fmyenAmO6N6NO8Kqv+Ps2Gg+fZf/Y6XetXoHO98hiolDSqXg5HO2uG/G8BvUZNY96Yb7FLo7Zxx1ZNWbd5J0vXbOTHgX0+8KcgPhUr1m1GD7RsUj/Z43cePubkP9f4un0TlEol0TGxDJu1FhMjQ375uiVGhgbEaONYefASKw5cJCwqFp9cTvRvXJYyalfyuNi+9TMVEoLhwp7OTOzqzG3/YGbvPMOcnWdYd+QKX9Ysxrjerbjj94SFWw8xd9MBVu/1pUuDyrSuVSZZSks+TzcWTRjKzzOWMOXPdcTEaunaIuXeheaN6hEVHcPUOQvJucCZ/u+xR0h8GpJWD8motI+k+d2v7vyID5clg27g1e6qPWq12h6Yr9FoZmbmgD7UuYuXMTExfuNK956jp9m89yidm9dNEXDfeODPd1NWEhEdw/cd69OsWsk35r9CQpAdGaPlSUg41x89ZYuvhgt3AlC7OTC6QzXyuCS/FatUKqhb0ovKPh7M3nGatUeucPqGH+O+rMnwzo2oVqIAYxZupsuY+Qzp1IAmVRKCskqlCtO3YzOmL93Iym1/06FxbSCha+Ufk8fRte8gBo0Yx6IZk8np4vwBPz3xMe09eJR8eTxxy5mDuDgd+30vUKVkIUyMjViw/RgeznZ81SghJSgqNo4jVx9x5eEzomK0qFRKzIwNMFSp0MXHEx6tJeB5BP7BEfiHhBOd5MPYytQIV3sLCrjZUyKPExXzu/Jtq5q0q1ma6esPMHfrEXyv3GV8ryY42lhSrmgBZvzYh77jZjJg/B/MHtU/1a6oDna2NKxTg22799GrcztpyPQZu3L9Bus2b6dxvdopPlvmrd6GmYlx4mfplNW7uecfxPRBnXCyteKG3zNGrzjAbf8QKhfKRc+6JfF2tU/xGjFaHX4hkdwLCud2YBi3nrzgwbMIgl5EowcsTQxR57CiZG57avrk5H/dv+DCnQDm/nWGKZtPsHTfBb6sWYzx37Tm9qMnzNm4n2lr9rDx4BmGdmpAGZ9/69abmZowflAPRs/4kz9WbMbWypKmtVOm53Vo1ZT7Dx+xfN0mKpYrRcmi0jhKpK+k+d3qXG8v9yreLKsG3bbAPqAfYAgcVKvVGo1Gszdzh/V+dDodR06cokSRQhimUfP4RXgEk+avorB3bnq3a5zsufv+T/lm0hJMjIxY8EN3vNz//cflRWRCWojv9UfcCwzlaWgE0do4tHHxaHU6klS/wtXekoHNytOiYkEMXnZdexYew4mbgVx8GIJer8fJypQK+ZwY1LwClQvl4ucVB+k2dTPDWlWifmlvVo75mpHzNvLLn1t5EhxKjybVUCgUdGzyBRc1d5i5fBOlC+fHO3fCCrqdrQ2//zKSHgOG8uO4ycyf9utb/1gQ6ef2vQdcuqqh71dfAnD6sobnYeHUqlCCU9fucfNRICO71EelVHLhbiDfLznEi6hYTAxVWJgYERcfT1RMHLE6HUqFAgsTI5xtzPBwtKSsdw5szY0xMlARE6cj6EUk9wNfsOv8XTb63sTYQEXD0nnoXK0Qv/RsQuWiXkxcvpuvfl3OjG/b4OFsR9H8efh1UHcGTZrHz7OWM2nwV6mmt3Rs1ZQtO/eyaOV6hvTrmdE/RpEFPAl6ypDRE3BwsKN/zy7Jnjt96Tr7TpyjR+uG2FhZsOvERTYdPEunehUp65OXHaduMHHdUSxNjZjSsy4VXt7xi4qN458HIfzzIJgb/i+4GxSG//MoXn2MKhXgbmeOp6MFJXPbo1IoCImI5arfcw5df8K0XdeopHaiRWlP/vimARfuBDB/11mmbD7B6kOX6Ne4LNMGdsT38i1+W7mLvv9bRrsvytGvVe3EpmYqlZJR/brw/EU4kxesomiBvMn6Irzy7dfdOXXuHyZNn8OKedPlc1WIbCRLBt0ajeYEcOLV92q1eiFQH8hWQfeh4yfxfxLIt193T/OYBWt3EBYRydBeHZJ9eIaGR/Ld1BWolErmDuuCq1PCql6cLp6l+y6wbP9FImO02Fuaks/Vnvxu9pgaGWJkoMLAQIm5iREOVmbkdrYhX057lEoF2rh4jt14wu6Lj9l/1Z+4eD1WpoYYGyh5Fh7DwkM3KZjTmq+qebNscHN+Wrafn1ce4ubjYPo1KsuU79ozYfE2Fmw5hLGhAZ0bVE5o2/1NJ9oM+JnR0xezZNLwxM2feT1zMWzAN/z4y2RWrN1E53YtU/0ZiPQ3f+lqzM1MaVIvIV9019EzWJiZUqF4QUYs2IaNhSlflC7I2dtP+O7PAzhbm/Hrl1Uo5umUYuOkXq9/p3xvXXw8F+8FsfPcXTafvMWOM3f4vmlpGpb1IZeLPQOmraHX5BXMG9IRdydbKhT3oX/HpkxZspFVOw7QvmGNFNd0d81B0wZfsHHbLlo3qY+nR8qmKOLTFfT0Gf2GjCQiMpJ5UyZiaWGR+Fx0TCwT56zAzcWRL5vVwS8wmF+XbqdoPnd6N6vOgt3nmL/rLCW9cvBL55pYmhqz/4o/uy/54XsriJi4eFQKBZ6OFvi42VKvqBu5HMzxsLfA09ECE8PUg9s7gWHs/OcR288/4tD1J+SyN6d9hTxM712f87f9mbrFlx+W7KOyjwcj2lVl+c+9mbF2L6v2+HLjQQCT+7dNzPU2UKkY3b8rbQaMZuzMJSycMDTF75qZqSn9e3Vl6OgJbNm5hxaNpIzm50jSPrKnLBl0q9XqSoCxRqPZ9/IhBf9uqMwW4uLi+E9e7a8AACAASURBVGPhUjzcXKlSoWyqxzx7/oKNew7ToFp51Ln/zbHW6/VMWLKNgGehzBnWNTHgDo2IZtjivzl3y59qRTzpVKMoBd0dU60mEa3VERgahV9IJCuO3+HyoxDO3n1GeEwcViaGNCuVi8Yl3PFytkShUBAaGcuBqwEsOXqLgStPU6OgC2M61WTp3+dZefASQaGRjO5QjR+7NiZGG8es9fvwcLaneqmC2Fha8EPvjgye+Acrtv1Nl+Z1E8dRu3pl9hw4zKIVa2lYpyb2dnJ7KqPde+jH/iMn6NquJTbWVkRGx3Do1EVqVSiRkEZy8Rata5QEhYKx607gYmPOnN61sbNIvS58ahvKXkTHERgWw7PwWGLj4jFQKfC0N6dYbieK53Gma41C/LLel7HrfPELDqdn7SLMGdyB3v9bQf+pa1g4rBN2Vua0rV+Ns1duMmvlNsoUyY+XR84Ur9/zy7bsOXCEX36fxdzff5HaxZ+Jh36P6fP9CJ6HvmDK+JF4582d+Jxer+fXeSt54B/IrNHfolIp+XHOehQKBWN6tmDBnvMs/vsCDcp4M7RlJXZd9GPBwRsEhcXgaGlMoxLuVFY7U8TdFlOj9/tnMY+TJX1rF6BHNW/2X/Vnje89Jmy7xNKjt/mmVn6WDGzKuqNXmbXtFF2nbGZqr3p837E+PnlcGbtoCwOnrmT6wI6JzaLsbazo07EZ42cv59Q/11JUNAGoXqk8RXwKsHjlOprUqy1lBD9DkvaRPWXV31QbYIxara5AQnpJZ6B35g7p/Sxds4H7D/2Y8svING//bdh1iFhtHF82S15O8O/TV9h/5hp9W9WiiFdCMB4aEU3P6dvwe/aCUe2rUb90vsTjg15Ec1jzhH8eBHMvKJyA51G8iE7+N0pOG1Nq+OSgan5nyuRxxNBAiV6vJyRSS3hMHEYqJY1KuNOwuBvLj91h4aGbXH70nIltSuBobcas7afRo2dMx+qM6N4Ev6AQxizaQsHcrjjbW1O1TFGqlyvOgrXbqVOpNDmcEnIkFQoF/Xp2pU33PixetZ5BfXp8zB+zeAcr12/ByNCQNs0aALDn6Bkio2NoXL0cB87dIE4XT50yPmw5dQv/kAimd6+BnYUJT15Es/H8Y3zvhBDwIppobTwqpQJDlQIjAyVKhQKtLp6w6Di0On2qr+1hZ0qPyp7UzO/ItO41+HXTKRbtu4yZsSGdqhbk976t+Pq3lQyZvZHZg9pjaKDix97taDdoAqNmLGXxhMEp6ijb2dow8Jvu/DxpOqs3bad9i8apvrb4dNy+d58+349Ap9Mx5/fxFFTnS/b8ht2H2X7gBF+1bkCZIgWYuW4vV+8+ZmKf1hy7/pjFf1+gSbn8dP2iJH2W+HL50XMKu9syrFFhynk5ERWr4/bTCPZdf0pQeAzPo+KIiIkjJi4erU5PnC4e3cucPQOlEisTAxwtjcjvbElRdytszYwwNlRRr6gbdYu4cuxGILP3afhx3Tmq5ndmdPNiFMrlxOAFe+g5fRuLvm1M/QpFMVSp+Gnuesb9uZWxvVok/kHboFo55q7aypqdB1INul9VNPnuxzFs372Ppg3eXpJWCJH5smTQrdFotqvV6rLAeUAFzHqZcpItXLh0hXmLV1K7WmUqli2V6jF6vZ4dh3wpUyQ/nq4uiY/HaLXMXLuXfO7OdKhbAYDo2DgGzt/N4+AwpvWuR0mvhNW/J6FRzNp7nX1X/dHF63G0NMbL2YrC7rY4WprgZGVCDhtT8jhZYm1mRHBELNcCwlji+5CrAWHcCgwnPObf21LGBkrK5ralcREXFuRzZOjqs3z9py8TWpekb6MyzNx2CjsLUwY1r8C4Xi1oP3I24/7cyvRBHVEoFAzs1prj5y4zfekGJgz+N982l7srtatVZtuuvfTq0gGLd2wzLv67kOeh7Nx7kLo1qyY2xNl+6CS5XV0o7J2bBbvW4uZoQz43R35cfZLCHg6U9c6B751gRm69RkRMHEXcrKlVwAkTQyW6eD1anZ4YbTwABioFFsYG2Jkb4mxlgr25EaaGSqLj4rkVGMHG848ZseUa+68HMbpRAYY3L0tkjJZZf50nj7M1FfO7MrJrA36ct4Xp6/czqG1tbK0s+aFXOwZPmse8tTvp0z5lUN2gdnX2HTrO7D9XUKNSeVxS6UgoPg1+/gF8M/gnlEolc3+fQB5Pj2TP7/c9x+QFq6hUsjBftWrImWt3WfbXMZpWLYGVtQ0/rdpJpYIeNChXkC7zjqLV6RnVrCjl8zmx62ogK9ZcRBMQnix/29LEAHMjA0wMlRiqlBgoFahe3lGM0up48iKao7dj0Ooeo1RAMTdr6hVypmo+ewxUSiqpnSmfz4k1vneZufcafRb7MqVjGeb0a0iPaVv5fuFe5g9oTO2yhXgYGMycjfupWiJ/YhMzI0ND6lQuzbq/DhERFY15Kt2IK5YtRdFCBZi1cCnVK1fA2ir1qj9CiKwjSwbdABqNZgQwIrPH8b60Wi3jp8zC2dmRHwb2TTP39ea9Rzx+8pTuLZOXu9p14hL+z0KZ0bVxYtmqyRuOceVBIBO71EoMuPdf9Wf8lovExetpXdaTpiU98LD/t3VxlFaHJiCcq/5hbLoUiCYgnKDwWCChq6CXoznVvR3IZW+GtakhUVodt4MiOHjjKYdvPqNCHjsmtyvNuC0XGLrmLL+2KUnbKoVYffgyajcHGpbxpl/r2kxatpO/TlykfoWiuDjY0blZHeat2U6rKzco4fNvqcC2zRuxa99BtuzcQ4dWKevqivSx+8ARYmJjadeiEQD+QcFc1NylT/tGRMbEcub6fdrUKMWZ24H4BYfzdd2i3HwSzuD1l/G0N2P8l8XxsPv3jyRdvB6FIqE+/NsUdbOmabEcrD79iBkH7mCo0vBzo/yMaFWeB0/DGL3mOMsH1Kd2qQJcuu3H6n1nKJ3fkyrF8lGlVGGa1CjPks178fHKRbUyyeu9KxQKhvTvSatufZk2908mjBzycX9wIkuIiY1l6OgJaLVaFk6fTO5c7smeP3Tqwv/ZO+/wqOrs/7+m1/Rk0itJJgmkEAKhN+kogmKvuK5rd13rNntb19VV17oqKiqKIqIC0juEktDSJr1OejJJJpPp8/vjholZbL+173dez8PzMJ97M3Pv5965cz7nvM85/Pnp1xidkshjd/wWk9nCfa+uJTY8hBXnzOQ3z35KbGgA1ywcz+/fOUKAWs7fL87jcEMfl7xeiM3pJi1CyxX5sWRE+REfrCZUK/ca2N+E0+WmqmOAAzXd7Cjv5NFNFby+X8G1U+OZlRqKRCzi0slJxIZo+NOaIh765ARPXZLHI1eexW2vbOK1zUXcuiSfKxdNYVdhGf9as5VZuenexMoZE3J477PtHDpRyuyJZ5bxFL4DN3DF9b/npTdWce/vb/xhJt2HDx8/Gr9Yo/vXyhvvrqG2vpF/PPzXb/ToFpZUADAhK33E+LpdR0mKDmNCRhIAO0/W8vnhClbMzWFmlqBhXHOolqc3lTImJpAHzxtL9JBR1DvoYIehk90VnZS29ON0C76b6EAlmdH+6CO0pIf7kazToJRJcHs8WOwu3G4PCpmYszMjuGF6Ih8fN/L2wUbKWvu5Z95oXthSwh/XFPL8lflUtXTz5Ef7SI8N5byZeWw6cJJ/rt7M5KwUArVqrlg6n/Xb9/P0G2t468k/IRmqljI6LZVx2Zm8++E6Ljh3sa+j2k/E7v2HSEqIY9SQd3DP0VMAzMrP4Wh5PU6XmymZo/jiRD0ahYyp6THc+N5J/JRSXrg0G6VUzPtHmjhcb6K+y4LT7UEsAo1cip9S+Kca8gbKJGK0CgkxQSrGxgYQF6xGIhZxWX4sTreHl3bXkhXjz/LcaB69bCpXPbuJv67ez4vXzeHm82ZSVNHAI29v5L3E3xAaoOWOa5ZTWd/MA/9axUsPBJGeNNLDGRmu46qLz+fVt1ZzSWk5WRlpP/n8+vhxeePdNRiqanjq4b+cYXB/vvMgj7zwNmmj4nj2L7cgl8u48/n36R+w8s/bL+OZ9QX0WWw8tmIuf/7wOHKphCcvzuO53XWcaOpjclIw10yJIypAyfGmXirbzeyp7KTPKshK3B4PUrEIpVSCWiEhSCUjzE9BfLCa1HANarmUtAg/0iL8uHpSHIdre3jjQAOPbKzgi5J2/rwwlQCVjGn6cG6em8YzX5Sy7mgD542P59yJet7ffYpz8lNJDA/iumWz+MM/32PzoVMsnpIDQJZ+FGqlgkPHy77S6AZIHZXIhUvP5oN1n3H2/LMYk67/yv18+PDxy8CXgfQD4vF42LBlB1Py85g+ecI37nvKUENEaDARYcO1hjt6+iitNbJocjYikQir3cnT6w6ijw7h2vnjAFh7pJ6nN5UyIy2cF66aSHSwmj6rg1f21HHxa0d5fmcN/VYn54+N4rFz01l3/QTeujqXqybFEaKRc7i+hye3VHLj6hNc/kYhv1l1jN++e5wr3yzi+veO89r+OsZE+fPyZdmoZBL++lk5V83QE6xV8Mc1Rdy6dDJqhZz739mJ0+3hj1edQ79lkBc+3AaAUiHn1ivPx1DbyPpt+0ac84rLLqSjq5v1m7b8wDPv46twOp2cKjUwcVyOd6zgRBmxEWHEReo4WFKLWiFndGIUe0qbmJYRzb7qbspa+7l19ig6zHZuXXOK1UebUUqFRdml42NYnhvF1ORgEkPVKGViBh1uugbsNHRbOFxn4o0DDdzywSme2V6N2Sb0trpiYiwTk4J4fkcN9V0W4kL9uXvZBE7UdfDmjmLkMikPX7uEQZuDR97aiMfjQSmX8+RdvyXAT8MtD79AeU3jGed4+fJzCfDzY9WaT36yefXx09DV3cN7H33C/NnTmfEfyejvfbaNB59/k3Fj9Lz4wO34adS8tHY7R0prufPyRVS3m9l9qp7rF4/n0+MtdPRZeezCXF7Z18Cp5j7umZfCnXNHsaO8g9++c5xntlezobiNll4rUrGIEI0cnZ+CAJUMD9DeZ6Ogtof3jjTx+OYKrl11nEc3GShsMOH2eBCLRExMCualS7O5bXYSJ5p6ufG9E7T32wC4MD+BvMQQXt5uoH/QwQ2Lx6OQSXl98zEApmSlkBgVxtqdR73nKJVKmJCdzr7CU3g8X50zAXDDNZcTFBDAK2+++8NfBB8+fPyg+DzdPyBt7R20tLVz+YXnfeu+5TUNpCfHjxgrLK8DIH+oacLGIxW0mwa4/9KZSCViDld38o+NxUxJ1fHoBblIJWJONPXyyMYKeix25qSFccG4aEaFaXC43Bxv7OXtggZONvfRN9Q6VikTExOoIj1CS6hWgb9SilQiYsDmosk0yOE6E7sru8iLC+ThJWk89kUlf99azW1nZfDkZ8d5alMZ914wlXtWbuWVjUe5ZUk+F8+dyLubD7J4SjY5qfHMnZLHx1v28MK765iRn+Nt7T0hN5uxmaN5/Z0PWHjWTLRazQ84+z7+k+raBmx2O6PThKQzp8vFsdIqFkwbD8Dh0lpy9bGUNnXTa7ExLT2Gtw82khiqJj8xiNs/LEYqEfHIknQyo4VraHe6cbjcKGWSrw3Bd5htbC5pZ+0xIxVtZh5fmkGgWsafF+q57PWj3PdpGa9eMZaFuYkcqmzh9e3FjEuOYGyijluXz+Lvq7eyZmchF83OQxccyEv338oNDz7HTQ8/zz//eAOZqcNVK1QqJeefs4CVqz+iuaWN6EhfE6b/Fd5bux673cF1V102YvztdZt5ftXHzJ6Yy8O3X4NcJmProWLe3rifZTPHMSVbz8V/+4isxHCSosP51+6jXDM9mUP1fRypN3Hn3GRSwjXcubYEi93FjNQQpiWHkKrTIpWIsTvdDNgFb7fHI+QtqGUS1HIJA3YXdV0WTjT1sr+6mye3VBIXpOLSCTHkxAQgEYs4NzuSVJ2Wuz8u4c61xTyzPJMQrZxb5qVz1Sv7WLVfqGqyfEoGq3ae4Nr5uSSEB7Jk+liefX8LNc3tJEXrAJg+Pptdh45TVl1PRnLCV86TWqXi8guX8dyrK6muq2dUQvxX7ufDh4+fH5+n+wfEPeSNUCkV37if1WanqbWDlPjoEeOldUYUcqm3Cc76AgMpUcGMS46k12LngY+PkxCq5eHzxyKViNlS2s4dHxWjkol58ZJs7l2QSnSgkrXHjNy0+gRPbaviRHMf2TEBXD89gWeWj2HllbncvziNK/LjmJseRn5iMNOSQ1iaE8mts0bx6mU5XDo+hlPGPh7/ooIbpsej81Pw8r56rj8rnVONPZS2W1k2KY13d53kaKWR65bNIjI0kEdWforV7kAkEnHvdZcxaLXz1Gvve89PJBJx2/XX0N1j4qWV7/zAs+/jP6msrQPwdkOta27DYrWRrU+itauXpg4T49MS2FPahFwqJsDfj4p2MxfkRvH8zhosdif3LdITE6RkTWEzd39czC0fnOQPHxVz4+oT3PNxCU9vq2JNYTOF9SbMQwu7MK2Cy/NjeWRJOp0Ddh7ZZGDQ4SLMT8F9Z6dhaDPz1JZKPB4Pdy0dT1Swlgfe30//oJ3lM3OZkjmK5z/aSVl9KwBRuhBefuA2ArQabn74XxwrqxpxnssWzwNgw5YdP83E+vjRsdsdrN+4hRlT8omLGS4buXFXAc+v+ph5U8fz2B2/RS6TUVrTzENvfEJWcix3XbaIpz4+iM3h4o8XTOWfm8uIDdYwIyOKD4uMLBytIyvan8c2VaCUiXnyvNFcNzUBp9vDO4ebuO+zMu5YW8x9n5Xz6KYKHvuigoc2GLj3k1Lu/LiEF3fXUtFmJj8xmGcvHMPNMxKxudw8sbmSp7dXY7IIVaPSI/14fGkGnWY7f1pfitXhQh8ZwMKsaN4/WIuxx8IlMzNRyKS8uU3wdi+alI1EIuazvce85ztjQjYyqZQv9hz+xvmaO2saAIeOHvvG/Xz48PHz4jO6f0A06iFtdV//N+5Xb2zD4/GQGDuyBnFFfQspMeFIxGKM3f2UN3WyMC8FkUjE2/uqMVlsPHj+WNQKKfuqunhySyU5MQG8dGk2qeFaTjb1csfaYtYUNjMqTMO981N48ZIs5qXr6Bt0sqbIyJ/Xl3LH2mL++lkZD24w8OCGcu5ZV8rdH5fwzPYq9lR2MjM1lMeXZqCUSXh6ezXXTI7F44EtFd0szolh1b5qpmalEBsawIPv7cLudPPnFUtoaO3iH+9uAiAhJoJrL1zMtgOFbN0/HDIdnZbKhUsX8+H6DRSdLP5hL4CPEZRX1qBUKrxGi6FWkGekJcVyrFL4f25qLLtLGhmfHMGmknbUcgkhWgVFjb1cPSkOt8fDQxsM7DR0kBymZUlWBBfkRrE4M5y0CC02p5s9lZ28uq+Ouz4u5qU9tVR3DAAwOsqfu+YmU90xwBObK3G63ExNDmHF5Dg+O9nKmsJmNAoZD10ymY6+QZ78RDAs7r96MUF+Gu5+8WO6+4T3igwL5tWHfo8uJJC7/v5vGls7vOcZER5GXk4mG7bu+sYwvI9fD3sOHqK3r5/zzh6u+V/TaOTRl1aRN0bPA7dcjUQixtQ/wN3/+oBgPw1/u/ki9pc1svNkLdfOz+VIfS8NXQPcviCD1w80oJFL+M2UeJ7dUY1YDH9ZpEctl/DSnlr+va8eQ1s/iaFqFo8J55K8aK6eFMeKSXFcPiGW88dGMTkpGIVUzN6qLp7dUc0TmytRySU8dd5oLhkfQ1GDiTvWnuJQbTcAY6L9+ctCPVXtA/x5fRk2p4sbztIjEYt4ckMxQVol501OZ3NhNTWtPQT5a5iWncqG/SewOQTj3V+rYWpeJpv2HMJm//pWFRG6MCJ0YZRWVH3tPj58+Pj5+dGNbr1ev1qv18/6sT/nl4C/nxY/rYamlpZv3K/B2AZAXKTOO+bxeKhoaEUfL7T9PWxoBmByRiymATsfHa5jfmY0KRH+NJsGeeyLClLDtTx8bjoahZTNpe089kUFcomYB89O4865KfRbnTy0wcDzu2rYWdGJy+0hKzqAszMjuGhcNJdPiOWy8TEsy4lkYmIQTreH9SdbeeDzck409fHAYj06PwUrDzbw22nx1HVZEMmVxIdqeeyzYu5YPpXu/kEeXr2b8emJXL14Kuv3FHk9NVcum8/olASeeOVd2rt6vOd6wzVXEBMVwV8f+wem3r4f9Br4GKaiqobUUYlIhurEVze0IJdJiY0M43hVExqlApdYSkvPABP1MWwv72BeRhhrjxmJDlSSHuHHM9ur0cglPHhOOtdNS2BxZgRz0nUsyYpkxeR4/rgglWcvzOKe+SnMSdNR1W7myS2VvHuoEavDxYSEIG6akcjxxl6e31WD2+Pht9MSmJ4SwrPbqzlc18Po2FCunZPJluP1bDpWS6CfmidvPA+T2cI9L63D5hA86KFBATxz7/VCeconXsZqt3vPddHcmRhb2zhZavhZ5trHD8uGzdvRhYUyfqxQtcbj8fDYS++gUih45A/XIpNJcbvd/OXltfT0D/DEzRehUSl56uMDJEcFs2xKBiv3VJGXGIJGreBovYlLJ8RwuK6Hhp5Brp2SgEom4Znt1dR0WlieG8WjSzJYMSme+Rk6UsP9kEvEWOwu+m1OnG4PUQFKFo4O58Fz0rh8QiwyiZi3Chp5bmcN+QlBPHneaML9lTy9vZoXdwuRosmjgrl3QQrHG3t5bFMlwVoF15+lp6Cqg8+PNXHVWTko5VJe/FxYcJ4/ezwms4Wth0q8c3HBwpmY+sx8tuPAN85ZTHQkRmPrj3dRfPjw8b35KTzdu4HH9Xp9lV6v/6Ner4/41r/4lSISiYiKCKeltf0b92vtEDwhUbpQ75ix04R50EZqnDA9p+raCNQoSdAFsr20BZvTzaWThYomr+ytA+DBs9NQySQcre9h5YF6cuMC+duy0YRq5Ty1tZIPi4yEaRWsmBTHE0szuCI/lty4AML85GgVUgJUUuJD1ExPDmF5bjR3zU3hr4v0ZMX4s6mkjZUFjfz+rFFoFFI2nGrlwnFR7DB0sjA3HrPVwepDjdxyzgT2ljSwascJrls2i/EZiTzx9uecrGxAKpHw4G3X4HC6uP+5lbjdQm1njVrNo3+5mx6TifufeBqXy9fC9ofG7XZjqKpBn5zkHattaiEuSodUIqG4xsiYpCgOlLcgEoFDLMfmdDMqTEt99yAX5EbxZkEDarmEO+YmE6aV02waZHdlJ+tPtPDJiRZ2GDooNvZhc7pJCtVwfm4Uj56bwZy0MPZWd/H3LZV0mm3MSddx2YQYdlV08cb+BkTA/WenER+i5v5Py+g027hq1miyE8J46pOjGLvNpMdHcN+KxZyobuKhlRtwD1XiiYkI49Hbrqbe2M5b67Z6z23W1EmCtnfXvv+cCh+/Mky9fRw8eowFs2d4F4z7C4s5UV7NjZcv9eaIfLjjCIdLa7jr8kWkJ0Tx/u5TtJsGuPO8yawvbMRksXP9WXpWH2kmSC1j4Wgd6463kBHpR25sAG8ebMBid/L72aOYkRKK1eliV0Unz+6s4cU9taw70cKOik4O1fVwqK6HreUdvF/YzLM7a6jrtnDJ+BiuyI+la8DOk1sqMbSZeeBsPeePjWJvVRd3ri2htKWPuek6bpqZyN6qLh7aaOC8vHjGJYTw1MZi+qxOVszNYW9JAwXljUzISCI5RsdbG/biGnpe5o3Rk6lPYuXaTdgdX+/tjgoPp6W942u3+/Dh4+fnRze6DQbDywaDYSJwDhAEHNDr9et+7M/9uYgM19HS9s1Gd3dvHwq5DI16uOFBVaPg/U6JFYzuyuYu9DEhiEQiCqo6iAlSkxzuR3XHAPuqurlkfAxhfgosdhcv7qklMVTNbbOTsDpc/HNHNV0DDn4zOZ4bpycw6HDxyt46Xt5bxweFRj4/1canp1pZU2Tk3/vreWJLJSsPNnCwphutQsKKSfFcMzmOZtMgbx1s4IbpiZhtLpp7rWTH+PN+YQtXzUjhUHUngyiZMzaJFzccoaC8mcduuICI4ADuev59mtu7iY8K5w8rLuToKQOrP9/uPd/01GTuuOk6Dhwu5B8v/NsnC/iBaWgyYhm0kpYyyjtWZ2wnISocq81BjbGD0YmRFBiMZMSEsK+6h4QQNYUNJiIDFJhtTtr6bFyRH4tCKuGDQiOv7Ktnu6ETQ7uZyvYBdld2sabIyJNbK3nvSBO1nQMopGIuGBfNLTOT6Bqw88TmSpp6BCP+nKwIPjvVyqaSdjQKKY8tzcBid/H4pgrEIhEPXCQ0g7r//f04XW7m5qVz83kz2Xq0jFc+3es9jwlZaSyYmsfb67fR1ilEUDRqFZMn5LJjzwHv4s7Hr5Nd+w7icrmYO3Oqd2zl2k1Eh4eyZPYUALp6zbz40TYmZSZz7vRczIN23tp+ghmZ8WQmhLP6YC0TkkLxUyk4XNfD0pxIDtT0YBp0cEFuFIfreqjqGODCcdHEBKno6Lfx6r569lR1Eean4OzMcK6flsC981L484JU/jQ/hbvnJnNlfiwTE4No6LbwVkEj7f027pyTQnqEH+uOt/DmwUbOzozg4SXpyCUiHtpg4IOjTSzNjuSmGYnsq+rm2Z013L8sG4VUwgMfH2f51NHEhPrzzLoCnC431547k/rWLjYXCOU9RSIRv7t4Ce1dPazbsvcr5wwEmVVnVzdWm+3HvUA+fPj4r/kpNd0qQAGIgP9Z12a4Loz2js5v3MflciOVSkY0zmnuEIyH2HChhKCxu5/YsAAAKlv7yIgORCQSsa+qCxFwdqaQbLm9vJ0Bm4vfTIlHIZXw/tFmLHYXt85KIi5Yxav7G9hu6CREK+eczHCunRLPrbOSuHVmEtdOiWf52CgmJgZjd7rZWt7Bsztr2FbewZgof26akYTJ4mDDqVZWTIqlvNXMmCg/VDIJB+r7mZ0Ryb93VbAwfwyp0aH8ddUO2vsGefr2S3G53fzh2fcwW6ycO2cK08dn8+K7n1BVQInG8AAAIABJREFU3+w95/PPWchlFyzlw/UbeOPdNT/kZfg/z2ltZ4Y+GQCH00lLexfxUeFUNLXhcntIjtZR2tTFmHgdJ5t6GZ8QSFmrmRkpoWwubWdcXCAJIWpe2VeHoa2fs/Sh3DM3mbvnpnDX3GT+ujCV306JZ3JSMA09g6wsaOStQ4209dkYHeXPvfNTkYpF/GNbFQ3dg1wzOY68+EBe319PbecAiaEafjc9gf3V3Wwr7yAqWMs9y8Zzsr6Tt3cJ4fUr5udz7tRsVm48wObDpd7zu+GSc/B4PKz6dHghN2vqRDq6uik1+HStv2Y279xDTFQk+qEFY11zKycN1Zw/f4a3ccxbG/dhszv5w6ULEIlEbDhSgcXmYMXcsRyobKd7wMYF+QlsKG5DKhaxeIyOLWXtJIWqSdVp2VLWQVywigkJQfRY7LxZ0IDb4+HaKfFcNj6G3NhAdH4K7C43pa397KvpprCxl36bk6mjQrht1igmJwVT1NjL+4XNnD82kvNyIikx9vHklkoUUglPLBvN9JRQPj7ewuObK1g4Roj4bCxuY1NpB/eck0mpsZd3D9Ry+9JJ1LWbeH9PMTNz00iLj+Tlj3d4td0TstLIG6PntQ83YB4Y/Mp5S4iLAaC+sfkrt/vw4ePn56fQdP9Br9efBFYDzcBEg8Gw/Mf+3J+LqMhwBiyDdHb3fO0+SoUcq82O80uyCpPZgkQswl+jwuly0z9oJ9hPhcfjoa13kKggIUnT0GYmIURNkFoOwKG6HpLDNCSHaWnvt3HK2Mf8DB3RgUo+OdmCxe7k0vExXD4hluyYAJRSMb2DDgadLoLUMjIi/ZiTFsbvpiVw/bQE0sL9OFDTzRsHGghSy1gxOZ7mXitVnRZmp4aypayDi/Oiqe20EBzkR3yolkfWn+SeC6ejUcq449+b0ajUPH7jhTS0dnHfqx/j8Xj48w2Xo1GpeOC5lTiGNLoAt163gkVzZ/Hyynd4bdX7+PhhKKuoQqlUkDj0Q2xs78Lt8RATEUplkxCClimUuNweVGo1Lg8oZYJBo5KJcbg8nJ0ZzvqTrUIIfFIcM1JC0SiGq4xKJWJig1TMS9dxx1mjWJiho7XXxsv76thb1YXOX8Fdc1NQycS8tKcWi01YDGrkEt4sEBI5L8yLQR+u5V87a7A53cwfm8icrHhe315MTatJ6Lp36Tyyk2N44p0vaOsRcgAiw4KZM2ksm/Ye9obcp00aj1wm44vtu3+yefbxw9LR2UXh8VMsnDPT65TYWSDkiCyYLvQ+sNodfLaniPkTM4mPECR6W4qq0ceEkh4bxq6yVgJUMiaOCmWnoZOJSUGYBp009QwyJ01HaWs/XQN25qXrEIlEbCvvwOWBqycKjXJAKI25r6aLd482sbuqi4p2s9f4fvtwI4WNJmalhnJFfiwWu4u3DzeRFRPA72ePwuX28Mz2Kkpb+rlxRiLXTU2gpKWfx76o4OK8aOalh/F2QSNBfioWZEXz5t4qosKCmDY6jtc3F9HRa+HWi+bR2tXLO5sEHbdIJOK2q5Zj6jPz3mfbvnLuTlcpMlRW/2jXx4cPH9+Pn8LTPQ641WAw6A0Gw5MGg6HtJ/jMn43T4fySsq9P6IqN1OFyuWlqGdbfiUUiXG4PHo/HW3pQBDhcbjyAQiZcKtOggxCtYHB7PB4augcZFSbUuy42CgZJXnwQp4x9NPVYmZeuIzlMQ4fZxtuHG/ngmJGNpe18crKVNw81sva4kcoOM26PB52fgmU5kVySF02f1cnKgw2E+ytYlh3JqeY+EkLVxAQq2W7o4NycCDYWt3PBpGTsThdPf1HO31bMpc9i4643tpCVEsftlyxg34kK3tq4j+BAf/50w+UYaht5/aONw+ctFnPfXbexaO4sXnnzXZ57ZaVPavIDYKisISUpwauJrTcKkqe4SB0Nbd0oZFL6rMKib8ApQiyCTrOdqAAl5W1mYoNUdFsclLeZmaMPHdEK/quQScRMSgrmllmJ6HVatpZ3sKawGX+VlOunJ9JvdfJmQQMBKhlLcyI53ih0AJSKRdw6O4m2PhsfFQoeujvPzUOjkPH4usN4PB5kUgkPrDgbp8vNMx8Me7YXTp9A/8AgB4+XAeCn1TJz6kQ2bd+N4xu0rz5+uezYewCPx8O8oRJ4AAXHS9EnxhIWHAjAwZOVDFjtLJ4qNH3q6rdQ0tDO9DHxeDweDld3Mj4plIYeK10DdiYnBVNQ241YBBMSgjhU24O/UsqYKH/a+myUtZqZmBBEsEZ4rrrcHtafaqXY2E+qTsvFuVFcMzGO306O58KxUaSEaTne3Me6ky3EBCq5Mj8Gl9vD2wWNhGoV3DUvmdggFSsPNrC1rJ2z0sL4/exR1HRYeHp7FbfMTiImSMXjX1Ry3axUtAopT3x2ituXTcLt8fDMJwXkpScyOy+dNzfspa27F4C0UXHMzM/hvc+3Ybac6e2Oi4nG30/LyZKyH/sy+fDh47/kp9B0X2YwGHb92J/zS2FMmp7AAH8+/eKrvREAYzOEZiX7Ck95xyJCBClJc0eP0E5bKaezbxCZRIxCKqZvUDAiZGIxDtewZtXhcqMe8lB2D9hRycSEaORUdQzgp5CSFe1P76CDDSVtSMQiZqeEsiwrgsWjdUyID8Th9rDN0MmaY0aaTMKDPEWn5epJQsvlVYcayYkNICvan43FbSzPjabf5sThdJMcpubtQ03ctmA0Jc0mtpZ18uDlsyht6ODva/ezfPZ45uWP4dV1OymubmJmfg6LZ01i5dqNnPhSrWWJRMJ9d93G8iWLWLXmY/723Es+Xe73wOVyYaiqGaHnbmwRjO74qHBau3qJCg2kzSSU4+u3udH5KTD2WkkKVdPQPUhGpB/Hm3oJVMmYlBT8lZ/zVWjkUi4aF8XCDB2lrWbePdJEdKCKc4cWbpXtZhaM1iGTiNhZIciwxsUHkRcfyPtHmrA73QRplVw/P4uTdR0crhSqMUSHBXLJnPHsPGbA2GkCYPyYVDQqJQUnho2MRXNm0Ndv5lDhie83iT5+FnbuPUhSQhwJccLzx+lyUVpV531mAhQZ6lHKZeTqhSYwpfUdeDwwPiWKngE7nWYbY2KCKG8VSrdmRvtTYuwnRadFLZdgaDOTFe2PRCyirLUfETAhIdD7/sUtfXQO2JmXFsaslFCC1HKv1z1EI2d2aijz08LoMNvZV9NNuL+SKybEYHW6WHvMiEYu5ZaZSYyLC+TTk63sq+piQkIQv5kST7Gxn4KaHu6dn0LXgJ0tZZ3cNDeNk409lLaYWTF3LDtP1nLY0MytF83D4/bw4trhhebV5y1gwGJl4+6CM+ZOLBaTNTqdY6dKz9jmw4ePXwa+Ot0/MHK5jOVLFrH34GEKjhZ95T4xEWGkj4pn/bZ9XuNydJLQKKewvA6RSER8eCCVzV1CRZQgNQ2dgoEU6ienpVdIlBGJRKjlEvqHWm07XR6kYuGSdprthPsrEIlEHG0w4XR7OHt0OPpwLRH+SuKC1IyLDeSisVHMSwvD5fbwWXEbh+p68Hg8hGkVXJEfi8PlYU2hkQvGRROgkrGtvJ3zx0ZxpN7E2VkR2JxuChr6uWBCPO8X1KJQaVgxdyyfHapg67Ea7rlyMWFB/jzw2jpsDgd3/uYiIsNCuO/ZN0Z4ayQSCXffej1XXnQ+az/d5Euu/B5U1tRhGbSSlaH3jjW2duKvVeOvVdNhMhMWqKXLbCVQo6DH4iBYI6PDbEerlOBye4gOUFLbaUEfrkH8pdyDTrOd1j7rN36+SCRiUlIwS7MjqOm0sHuo9rufQsr28g7Ucinj4gIpqOnxXuPL82PpMNvZNWSIn503ijB/FWsODEeMzpueg8cDW4+WA0Kb7Oy0JI6VDYfTJ+Rm46fVsGPvwe8/kT5+Uky9vRw7VcLMKRO9Y40t7VhtdtJHDXdZLK83oo+PRHq6FGaLUA0qOSqYxm7hORkXqqG+exClVIzOT0Ftl4VUnRajaRCb002yTgtAfbeFyAAlavmwbOqksY/oACVJoV/fMTcpVMPYmADK28y099sI91dy9pgIGnoG2VfdhVQi5or8WEZH+vFhUTPt/TZm60PJiPBj9dEmUnQaZqaGsKaomZnpkaRG+PPStnIunCYkVf5z/UEiggO5ZN4kNh04Sa1RiIpmJCeQlhTHxl1nGt0AYzNH09DUTI+p97+5BD58+PiR8RndPwJXXnQ+SQlx/OXRp2hsNn7lPpefO5e65lZ2HT4OQHJMOIlRoXy+T3idr4+muL6d3gEr2XHBHKvvxulykxHhR3u/jbY+wfCOC1JT12UBwE8pxWx34nJ7+HKD7l6rE51W4dWBfxmRSMSoUA0X5UaRHq6lqKmXL8racboF7+f5Y6No67exw9DBZRNiaO+34/F4SApV8/nJVq7Ij+VQbQ9j4sNICNXy6PqTXDIzkzHxOp76+AB2p8fbOOf19bvRqlU8eNs1tHZ288gLb48wrEUiETf/9iouu2Apaz75nHfW/M8WuflROVEseH5zMjO8Y81tncSEC/rXnn4LQX5q+gft+KnkDDpcqGSCsS0VCY8EqVSMwy0svk5jaDPz0bFmPj7ewvoTLVjs35wPnRsbSFa0P3urujANOshLCKTY2IfV4SIrxp+uATvt/cJ9PCExCJ2fgi2lgkdeLpUwKzOOI5WtWO3CojIiJABdkB81zcOyrJT4aBqM7d78CJlMRn5uNgVHj/kWbb8ytu4SnBCzp0/xjtU3C2rE+OjhSrPNHT3ERYR4X7eZBgjQKNAo5fQMCLXbQ7QKugfsBGvkmCwOXG4PkQFKWoeem9GBgna7x+IgVDv8XHS5PZhtLiIDhitLfR1jYwKQikWUtQ171DMi/dhf3U3voAOJWMSl42OQiEVsKmlDJBKxJDuCfquTwgYTF46Lxupws93QyXWzUjGaBtlZ1sbvFuZR3dLDtuM1XDJ/IjKphI+2C3W8RSIRE3MyKK9pwGqzn3FM6UOJ0xVVNd9hxn348PFT84s3uvV6/VN6vf7Nn/s4/n9QqZT87f4/AnDtrfdQ/hVdwmZPyiU+OpwXVq3D7hBap589dSwnqxopqzMyMzMBt8fD1mM1TEoOw2J3cri6k7x4IQy6t6oLAH24lprOAfqtTsL8FHg80NZnFTzgQ225XW4PErHojGP4MlKxmBnJIUxJCqaue5Bt5Z24PR6SwzTMTAmh2NiP0+Vh6qhg9lR1sSwnij6bE6vThT5cy+sHGrj3nEw6+q28e6CWv14ygwGrndc2F5E/ehSLJmfzzhcHqG/pJDttFDddtoztB4t499ORMhyRSMRtv7uGs6ZP4YXX3qL4G7TxPr6aopMl3g51p2n6ktFtMlsI1Kqw2Byo5VIhQiIZ+Sg4XRdbNSRdAjhl7CNAJSNQJaO51+qNsHwTC0frEItFHKrrITs6AIfLQ1XHAGnhfgBUtgueSbFIxPSUEI7U9eAckk+NSwrH5nRR2z7stQsL0NLdb/G+jggNxulyYeoze8cmjMuho6ubhq9Z8Pr4ZbJx605SkhJG1JZvGuo8GhMh3Mtut5uuXjO6ID/vPj1mK8FaFQADQ/ekViHDbHPip5TSMyTNOx3NAUEm4vF46Lc68VcOe7mdQ/e97FuelwAKqZjYQBXNpuHIzxy9EDUsahTuWX+VjPyEYE409eJye8iODkApE1Pa0k9ahB8JIWoOVHcxJVVHUpiWTwobmJOTRLwugLX7Swn21zItR8+uonLvIjIxJhKXy01b15nJ+jFRQnO1tm+poOXDh4+fh1+00a3X688Crvq5j+O/IT42mtee/RtyuYwb7/rLGS3PpRIJd1xzEQ0t7byzXmjysWzGOLQqBW98tmcoEz+UtftLmZQSRpBazvqiBuJD1KRFaNlYLLSSH58QhNsDh+t6SAoVkt0q2weI8FfSYbbhcLnxU0oxDTq+1fMnEonIivJnalIwtd0WDtQIYdupo0KIClCysaSNs9LCUMskHKzp5qzUULaWtXNxXjSdZjslbQPMz4zig4JatGolyyans76gnKbOPm65cC5KuYy/v7MRj8fDFUvnMTM/h+dXrWXf0VNnHMef77gZXVgo9z/+NPZvaH/sYyRut5vCE8WMyxnjHXM6XbR2dBMTEYbd4WTAaidQq8bqcKGQS3F7PEj+w8Y4ncx72gg5TY/FgWnQQXSgEp32zMjJf6KRS9GHaylp6SchRIVYBDUdA8QFq5CIRdR2DhvQ2bEB2JxuqobayIcFCIZUZ9+wDGnQ7kD5JSmAQi4DGNEie3SaoP81VPq8fb8WGpqMFJcZWDhnZPPi9q4elAo5/lrh2TZgteHxgPZLPQ4GrHY0SuFedDiFBZtMIsLu8iCTiLDYhCiIWi6hd9CBn0KKTCJm0CEkqWu+dD/JJSJEgNX53XJKAlRS+m1O77M1UC0jMVRNiXG4025SqBqHy0Nbnw2xWITOT+GN8OTEBlBi7McDLMyOobjJRFvfIAvzUjhe00pnr4VxaQl0mPq9CZWnw5hf9Tw//TV2+XJifPj4RfKLNbr1en0w8Cjw2M99LP8tCXGxvPrPJwgJDuLmu//KvoIjI7ZPGjua2RNzeeOjjbS0d6FVK7l0/iR2F5VzqrqRC6eNoaa1h8OGJs7JjWWvoQ1jj4UlWRHUdVkobOglKVRNbJCKLWXtBKtlRPgrKGo0kRiqxu2BqvYBYgOV9Fmd3tDqt5EZ5U9mpB+nWvppNg0iFos4NysCq9PN0QYTC8eEU9UxwNi4QCRiEYZ2MxMSAll3rIUrpyVjd7pZd7SBFXPGIhKJ+GBPMSEBWq5bOovDpTUUFFchEol48NYVpCbE8qen/01Zdf2IY/DTavnTH26iodnI6rXrf7Br8r9OWUUVvX39TByX4x1rauvA5XYTF6XDZBYM2CA/NYM2Jxq5FI+HEbptGP5B/7I3Ozc2AJ2fgoQQNTOSQ0fUmf8mRoVqsNhdWBxuwv2VNJmEBOGoACUNPcNGd8JQhRTjkOfwtE0hHvI62h1OGtt7iAsfTuzs7Rc83H6a4eoqulBBeuDTtf562LxjNyKRiHmzp48YN/WbCQ7w895rrqFF4Gk9N4DT5UY+VL/bg7BdLBbhHorw2ZyC0a2UCtE/vyHPtvm0V1w5/F4ikQg/pZQ+63db6HsQvjtf/i7EB6vptji8Ce+nS3E6hwxhtwdv5FGnlWN1urE73eTEC/d1bbuZzAShD0Nde483yb67T1iMNra0IxaLCA8JOuN4TtfnT4iN+U7H7+OXT7/FTnu3hfZuCzbH/2yLk/8z/GKNbuAV4M/A1xe8/hUQGa7j9ef+TnJiAvc88DhHjo2sqnD7igsAeObNDwG4dP4kArVqXlu/m3m5o4gI0vLOzpMsHx+PSCTi/YJaZuvDCNHIeOeQUOt4wWgddV0WSlrMjE8IoqbTgkwiQiOXUNhoIlWnRSEVc6i+5zvrXPMTgvBTSCmoF6Y/zE9BTnQAhQ295MQEEKiScbiuhxkpoeyp7GTxmHC6LQ4aTTYmpYTxaVEjIf4q5uQkseFIBXani/Nn5xEdFsSLH23H4/GgVil55k83E6DV8PtHnveGkk8zMS+XGZPzeePdNZh6fQbUd2FvwVFEIhH5XzK6v1wu0GQWjNzT8hKVQobLIxgnconI6yqzONxoFRI6zcMLtaRQDcvHRrFodDiBatl3Piadn6AL7zTbifRX0DqUCBwXrKKhe9iLHaQR3rPHIhg8pgHB+PZXCV7MUzXNOJwuxiRFef+mprEVP40KP43KOyYZkso4nN8uf/Hx8+N2u/l8y3bG5WQSHhY6Yptl0IpaNezVlg0Z23bHyGs7XGZVNPR6eJvdNSQZkYgw25xoh4zuPutpKYqULxOikXtlKN9G76ADtVwyYuz0+5026k9LXpQyCU63m06zzVue8LRHXSSCYI3wPeky2wjxF+7nri9FeU5Lvo6XVZEYE4lKOZxvIWx3s2bd5wT4+ZH5pSRqH79uBq1OigztFBnavdK7XwpOl9u7IOi3fLfvzP91fpFGt16vvxZoNBgM2791518B/n5annviQWJjorj7/sdHJFdGhAVzzfJF7Cw4xpFT5aiVCi5bMImDp6ow1Bu5eMYYjlW30tbTx4KsaNYXNtA3aOfy/FhONvdxoKab6cmhhGjkrD7axOTEYJRSMVtKO5iUFExNp4Vmk5VJCUG09Nk43GD6Toa3TCJmdKQf7f12r9dnfEIgLreH8jYz4xMCKW8TPNwOlwe7y0OwWsYuQyezMyLp6LdiaOlj7tgkBqwOiqqMyKRSfrNkBoaGVnYVCRUoQoMDeP6+23C6XNz2yPP0mQdGHMdN117FoNXKux/6vN3fhsfjYcvOveTlZBIUGOAdP210x3/J0x3op8Zid6JWCPISsVgkGAUuNzKJiC6zndggFXVdg987IVEmGfZS+qtkXu95dKCK9n7biBKYIBggAHXtQog+LswfgG1Hy1HIpEzMSBx6Pzf7j5UwMTt9hKextV3Qs/6nAefjl8mxUyUYW9o4Z/6cM7aJxWKvsQmgVsrRqBS0DpWNBNCo5Jitwg++XCr8pNmdLiRiEW73sLEqEYsYsLvQDBnJp59rAaqRC8joACEy2Dv4zd7uPquD+u5BEkNG1rD3etCHjO+aLgtquYRQrZzSln6sDjeZ0cI9fbK5j+QwDQqphLYhA1sXoKR3QFiYBmgU3hKZEaEBdJv6KCqpYMaE7DOO56NPN1J44hQ3//YqpFLpGdt9+PihsTlc3gXBoNXn5Pgu/CKNbuAiYJ5erz8OPAQs0ev1z/zMx/S9CAzw5+lH/opYLOJPDz85Qqd82ZK5RIQG8/zba3G73SyfPQF/jYrXP93DuRPT8FcrWLXjBFdPS8bp8vDW3moWjwknPljFcztqcLjcXDI+huqOAbYZOpidFsbxpl7kUhGBKhnrTghNHPQ6DUWNvWwqbcf0LT8oMOw9cgx5iiL8lQSpZTR2D5IVHYDHI3iUgtQySlr6mJgUTFGjiQmjBGPnWH0XeSnRSMQiiqqFessLJmUSGRrI2h3DUpuEmAj+8cebMLZ38sBzb44w8hLjY5k5dSLrPv8Cq+27yWP+r1LX0ERjcwtzZkwZMd7c1kmAnwY/jZqBQWEOtSoFDqcLuVSCWCTC4wGNQoLZ7iLcX0GzyUpauBbToIOSlv7vdVy9g8LDWCUTIxWLvBKBEI0Mt2fY43g68fe0UVTS2EVEoJoAtQKL1c7mw6XMGJuKSiF4Cb/Ye4Tu3n7mTRk34vNO1ylOGZX4vY7bx0/Dnv2HkMtkzJo66YxtgX5aunp6vc8EkUhESmw4J6oavfvoAjQYu/pxuz1olYIB3T/oQCEVY3W6OJ0T6fYInjnp0IDNISz2VNKRP4MJwWrEIjjaYOLrGHS42FjSjkwiIjPS3zvu8XgwtJkJ1ciRScTYnG6ON/aSFq5FLBKxqbgNjUJCVrQ/Ve1mjjf2MnmUICs5UNmORCQiJdyf8kZh4RinC6S8zkiAVkWIv5Zdh47jdnuYMzlvxPHsP3SUp1/4N1Py8zh30bxvn3QfPnz8LPwijW6DwTDXYDCMMRgMOcB9wKcGg+H2n/u4vi9REeHcf/ftlFdW89qq1d5xhVzG9Zcsoay6gW0HCtGoFFw8N599Jypo6ezhgqmj2X2qHofdxuKxMaw7Wk9r7yB3zxMaLDy9vZopSUHkJwaxprCZmEAlcUEqPiw0Mjs1lEG7iw8KjYyPC2RKUjDNvVZWFzbz4TEj+2q6ONHcS3lbPxXtZgztZk4a+9hV2Ulhg4n4YBXBX5ISBKpkmAYdRAUoEYnA2GslOUxDTaeFjEg/zDYXdheE+yspa+5FKZcyKjKY8kZBOiKVSFg8OZsjZTV09Q5XnMhJT+a2q5az9+hJPt6yZ8S8XbT0HHr7+9m+e/+PfIV+3Rw5dhKAiXk5I8ZbO7uJDBN+2G1DYXmFTIrbI6hJZBIRNqebYLWcLrOdpBANtV0DjI70I9JfwaaS9m/1+n0T1R0DiEUQHaRiwO7yVkQ5XTHldMi0pVeQk0QEKHG7PRyrbScnUQfA5wdOYR60ceEswcC22R289tEX6BNjmDZuOGnU4/GwecceEuJiSIiN/q+P2cdPx5FjJ8jJHI1KdWaZvuSEaHrNAzS3DVfjmJqdSkVDK03tQqJ3anQIFpuDps5eQoekTO19VrQKKX1Wp1dTPegQvN//mRz8Hy/xU0rJiQ6gomOAg7XdIyIxNqebkpY+1hwz0mdzsjAj3KsRByg29mPstTJ+qMrUvqouBh0uZqSGUtbaT1FjL2ePiUAmEfPinjq0CgnLx0bRN+jgs6JGpup1BGsV7C6uI14XQGSQlqNltYxLS0AkErGjoIjYSB3J8cP3dlVNHX986G+MSkrg0b/c9Z1zLXz48PHT84s0uv+XmT55AovmzuKdD9fR0DQsM1kwPZ/k+GheXv0pTpeL5WdNQCmX8c6m/Vw0fTQquZSV245z7cxU5FIJT35eTFqElmsmx7PT0MmbBY1cNyWBCH8F/9hWzZz0MKRiEauPNnGWPpQOs43XDzQQqJRyWV4M+fGBQx3ZzByo7WFnZRfbKzrZUdHJ/ppuqjsHSArVMPNLCXMej4euATuBahlyqRgRgmQgVCund6iiBUBbn43YEA1Gk6Afjgn1p61nWDaSm5aAxwNVTW0j5uaiRbMYm5HCvz/4fEQN2tzsMUTowti598CPdVn+J2hobkGjVhEZrhsx3tNnJiRAKLF2OgHN6XajUcoYsDkI0cjpNNuID1FT22lhTLQ/VoebYmM/y3Iisbvc/Gt3LbsqO6nvttDWZ6WpZ5Cy1n6ON/VSbOyjrc/qjYx8mfpuC0cbTGRG+SOXiKnvshA1dJ+YhjSA/kPh/dIWoTtgcpiG8uZuesxWJqZG4XK7Wb3tCJlJ0WQO6blXfbqN5rZObrl8KWLx8GPscNEJTpaUc8GShT/s5Pr4UfB4PDQaW0hOjP/K7dMmEIZOAAAgAElEQVTGZSEWi/hsx/B3f8GkLGRSCas2CYvw8SnCPbGvtIH4EA0ioKqtn8gABR39Nm/+QVufjVDtcOWQcH/BQG/oObOl+rjYANLCtZw09vHawQbWHjey5lgzbx1qYE91N1qFhGVZEUR9qZ63oc3M+pMtxAWrGBsbQFuflQ3FrYyO9CMqQMHLe2rR+SlYNCacDwuNHG/s5bqpCWiVUl7YWobZ6uQ3M1KoMnZTVNXCovGplNUZaevuY0pWKr39AxwtNjBr4ljvM9nhcHDf4/9ArVbxz0fvQ6NWn3EuPnz4+OXwize6DQbDmwaD4eqf+zh+SG65bgVymYxnXnrNOyaRiPndxUtobGnnsx0HCNSqWTojly8KTtE/YGH51Ay2Hqumz2zhxjl6Dtd0sr6okUvGR7NojI53DjWxpqiZPy1IRaOQ8NzOGhZk6PB4YO0xI9NGhSAWiXizoJFNJW3EBKo4LzuSayfFcc3EWC7Li+bi3CguHRfNVRNiuWZiHHP0YSOShMpazfRZnSSFqum3OnF7QC2TIBGLcLjcXm1kr9VBqJ+S7qEkvECN0psUBxAdJmTdt3SODN+KRCKuu+gcukx97B5qGnR6fOrE8RwqOu5tguLjTEymXoICA87wdA1abd6kq9Ol1cwWG6F+SlpNA8QOJTSm6jRYnW5EgM5PztpjRvyVUn43NZ74YBU7DJ28fqCBF/bU8er+elYfFRrlrCky8sKeOp7cWsVHRUYO1HRT2GDikxMtrDzYQIBKxvwMHY3dFoy9gmwFoLrDQohG5vV8H60zkaLTolFI2VncgEQsYrI+ir0nqmjuNHHJnPGIRCLqmlt5c90W5k7OZULmcMKY3e7g6ZfeIDI8jKW+EPuvAqfTidVqQ6v96u6PkboQpuVl8cGGHTS2CLkJuiB/lkwby6d7j1Hd1EZ0qD8pUcFsO1aDRikjMUzLsfouRoVpcHug3+pAJhFavseHqDD2Wumx2IkLUqGUijlQ031GgppUImZWSigX5UaTHeWPVCJGq5AyJtKf87IjOS8r0ts4asDm5LOTrXxQ2Ey4n4KLx0Uz6HDzyt46ZBIxF+dF89r+Blr7bPxuWgKlLf28tr+eqcnBLM4M50BFO+uLGrl4UiKpkQGs2nECpVzKsklpbDtcgkQiZvpYPfsLT+FyuZk9caz3ODdu3UllTR333nYDYaEh+Pj18+VqJb6KJf97/OKN7v9FQoOD+M3lF7Ov4AiFx4drVM+YkE2WfhSvrP6UgUErVy6ailQi5t/rd3HF7Gy0SjnPri9gWV4ceYkhPLOphJJmE7eflcziMeG8c6iJlQca+PMCPcFqGS/tqSM/MZBgjZwPCpsJ08iZlBhERbuZl/fWsepQI6eMfYAIf6WMILWcAJUMtVxyhuFmNFn5vLiVqAAl2dEBnGwWqomkRfgJbcTVcq/uUiISIZOIvFrw/4x2Wof07Ke1uV9mbEYKGrWSwuKKEeOZGWlYrTZq6xq+19z/L6NWq7AMntmiXaVQMGgVFkCRQ+XHjJ0mUqOCqTD2kBMj1MdWSsVo5BK2lnVw9aR4ugfsvDlkNF8+IZbbZydxVX4sF+ZGcdn4GH43NZ7bZiVx0/QElmVHkBKmobpzgC9K21l/spXSln6yov35f+ydZWBU59a2r5mJu7vbxBNICBAgIWhwKN5CBS3F3d3dtUiR4u4ECR4ChJBAIANxdzciM9+PtPTkAOec93tPW9p3rp9bZu+99s7OvZ9nrXsNb2GNupKI088zUVMS0cpRn8qaOiJSimhiXf8Bllv6jqi0YgKc9JFKZVyPSsbP0RRtdWUOhYRjqq9N60ZOyGQyVu4+joqSEpO+7d3gOncfOkZCUgrTx41ESek/d1eR8+ehqKiInq4Omdk5n9xmytABiERCZq398f1zPLJXEOoqyqw7chWZTEaXJk7EpOTyNiOfVs7GRCYV4GSojqJIwIP4QnytdXkQn09jy/rn/5YkDwWRkE5uxqQWVnLqeSbVH/Hm1lFVxN9Ojx4eJnR2NcbfTg9jTWUEAgEllTXclOSy+XYCz9OL8bfT49vmVlRU17EpNJ6iyhpGtrThztt87sXl08/HHG1VRRZelGCho8K0Do5kFFYy/3QkjsZaDA9yIi6jgGvP4ujb0hUNVSVCwl/g7+GAtoYaDyNfoqetiYv9b7MCx85cwNHOhsAWzf7Ld0bOn8U/upV8jo4lcv53yEX3n0S/Xl0xNjJgw449SKW/2kYJmDSkLwXFpew5cQkDHU36tvXjalg06Tn5jAj24fGbdK5FxLO4TyMMNFWYcvgpaQXlTGpnz+CmFlyJyWHZ1TeMDbLHw1yLw0/SEQrA306PsMQCbkly8bPWIcBBn4KKas5GZbHmRhxHn6YTnV5MRXXDCuSqmjruvs1jb1gySiIhX3ib8q5WyrVXOZjrqGCqpczrzFKs9FQpKK8X01qqCtTUyVD4xbWiqroW5X/obPhrLqaxnhb/jEgkxNzYkNzChqPgdtaW9ftmZv2X7sDfDzMTYwoKiygqLmmw3EBXm6y8eutHc0MdlBUViE3JxsvGkIp3taiLpKj9IrY7uBpxLy6fd7VS+vmYE5VWwoqrb0jOr0BXTQl7Q3XczbQQG2tgrqOKvroSxloqNLLUoXcjM6a1d2BGB0cmBNkxo6MjX3iboaIo5HhEOq8yS+nmYYKakgInn2XwrlZKG+f6ToOnI+tTrTq4GhGZmENmYTnBjWx4lZRJdHw6X7ZrgoJIyJ0n0UTEvOX7AV3Q1/nt+YmJfcv+o6fpHtyWFk0bFpnJ+bzxcBHz4NHTTzbBMjHUY8G473iTlMrUlduprqlBR1OdET1b8+RVIjeexNC5iSOqSgocuhVNe3cz6mQyLj1PI9DRgMsvs2luq0vZuzpC3+TRzFaPO2/yeJFegoe5Fh1djZBkl7H1buL7zpGfok4q4012Gcci0tl4O4EH8QXYG6ozqpUt7ZwNeZVZyurrbymurGFUgC1JBRUcfpJGczs9Ah31mX46BqEQlvZwBZmMaUefIkDAiv4+KCsIWX82DE1VZQa38eL5m2RyCkvp2MwDgMhXcfh6OL9PpyouKeVtQhLBbVvL87jlyPmLIBfdfxLKSkqMGfYNsW/juRRy6/1yN0dburXx58jFm7xNSmNI1wB0NdVZdfASPZqL8bAxYv3ZMKqra1j/VRMEwKh9j0jIKeM7f2vmdxGTmFfOhOMvaOWgx1d+FkSllXBTkktbsQHGWiqcjcriliQXb3MtBvlZ4GOlTWZJ1S8CPJ5NoQkceZrGvrAUNtyK5/bbfMTGGoxsaYO2qiL7H6VQXFnDAF8LIlKLKaiowd9Oj8T8+hxuS11Viiqq0f7FX7mgrAodjd98lF/GpyEUCBBbm340NuUVlagoNRwF19GuF1jF/yQo5fxGI083AB4/i26w3M7ShOSMHN5V16CoIMLN1pQISTLNxWaIhAIexqbRyd2YG69zaOdsgKGmMptDE2hqq8eY1nYUVtaw7Oob1t6I41ZsLqmFlZ8cfREIBKgpidBTV0IoEJBaUMHm0ARuSfJoIzYgSGyAJKuUs88zae2kj9hYg5ySdxx7mk6gkwFWemqcffwWDRVFWrtZcu5eFCpKinTx90AqlbL18HlsLUzo2e43hxapVMqy9dsw0Ndl4vdDfr8Ay/ld6NOjMwVFRZy9fO2T27Ty9WTOD18THvWaJdsOIpPJ6N2mCc42pqw7fBWRAHq3cCXkWTzU1dJKbMzRRwn08DSmTirj8sscWjsZcCE6C1cTDSx0VTnwKIWE3HKa2ujyXXMrNJUVOBedxdob9WlS4YmFvMwo4UV6CQ/i8zkekc7aG3EcjUgntbCSZra6jG1tS9/G5khlMn68n8TuB8noqikxqZ0DqYWV7LqXhJeFFt81s2TW2dcUVdawvKcrBhqKzDgWQVJeGUv6NsZcT407L5J4+jaDEcE+aKurcDXsBarKigR4i8kvKiEnvxBXh99GuTOz6mtiLC3MPhU2OXLkfGbIRfefSIegANxdxGzdc4Dyit86840d/AVaGurM27gXZUUFJn0ZzKvEDI6GPGLewEBq66TM/OkGJjqqbP+uOSIhjNoXRkRiHoFOBuz8yhsjTWXmXZDwOrOMeZ3FmGgpc/hpOgVl7+jhaYKOqiInIzPZ/SAZBaGAUa1sGOJvRWtHfcx1VCiprEUAePySHtC3sTmKIgH7H6XwKrOUfj7mmGgps/9RCha6qvjZ6BKWUICVnioGGsqk5JVhqV+fp5meV4KZnub76wuPicfNzvyj6SWpmTmkZ+fhIbZrsPzXIj2hSPTBPnLqcXd2xMhQn0vXbzVY7u1iT21dHc9j4wFo4eHAm9QcSsorCHC14FJEIn0amyKVwf6wVCa0sSOrpIplV97gZKTOku4ufNHIjKKKGo5FpLPksoRxx18w/8Jrtt5O4NjTNK6/zuFhfD4RyUXcj8vn7PNMVlx7w5Irb0jIK2dgEwv6+ZiTXFDJossSDDSUGOJvjVQmY+kVCVKZjNFBduQUV3AzOoVuvvYIBXAj4jVBjZ3QUFUmPFpCckYOQ3sHN+hIeD/8KW/iExk9ZNAnc4PlfL409WlEM99GbNq5D0lcwie369bGn+8HdufKnXB2HDmPSChkxtddKSgpY/f5O3zd1gsNVSXWnH7A6HZiqmul/HhLwnf+VtyLy0dNUYSZjiobbiXQ2a3edWTLnQReZpRgqavKUH8rBvqa42yiSUphBdde53D6eSZnojK5Kckjq+QdYmMNBviaM7GNPe2djaipk3EwPJWlVyRIssvo6mHCpLb2PEkqYue9JLwstBnX2p5Fl9+QmF/Bgq7OOBppsOhMFE8T85nd3RM/ewPKKqtZdyYMOxNdevm78K6mhptPYmjt44KKshJxSWkAONlavo/Hr+9EkVD+TpQj56+CXHT/iQiFQib9MIz8gkK27Tn4frmOlgazRw0iLjmdjQdO0d7PnTa+ruw8E0pJaRnzvgwkJiWXFSfuY22gzs4h/uhrKjP+4GOuRKVhoavK1oGefOVnwfXXOcy7EEs3TxOGt7Qmq/QdPz5IRoCMQX4WmGmrcC4qi0WXJcTllNPcTo/ejcwY2cqGb5tb0cXdBFNtFWrqpOwLSyEytZieXqY0t9Njx91E8suqGd7CmrSiKqLSimntaEBeaRUZRZU4GmtSVV1Len4JNsb1uZS5hSW8TsrA39PxozE5fOEGQqGANs0aN1heVl7/UaKuqvqx3eQAIpGIbh3bEvYkkoys35xhfFwdUVZU5M7j+hHwtj71xYfXn7ymd3Mniive8TIxm74+5lyMrk/fGd/GnpcZJSy6LKG6VkZHVyMWd3dhaQ8XhrWwpr2zISbaKuSVVXM/roCTzzLY/yiVXffrawWuvsoGGfT0MmV5T1daOxlwLy6fGWdiUBQJWdTNGQ1lBZZdfkN4YiHj2thjqavKkXuvkcmgr78Tj2ISKa14R7Bf/Qj+lbuP0dZUJ6hpw8Ygpy9cw9jQ4IMW4nL+GggEAhZMn4i2liYTZi1s4Or0zwzp05kebVuw9+RlHj57iautOT0CGnPs+iOy8wsZ3dWPyPgsHsYkMiHYlUfxuaTnFBHkZMD+R6k0tdZBVVHIptB4+vuYY6Klwq77SVx7lYMMcDTSoLunCRPb2DOprT2jAmz4IcCGae0dGBdkRw8vU5yMNCgor+ZQeCpLrkiITC0iwNGAeV3EtHc25PCTNA49TqWprS6T29mzKTSByNRiprZ3oIm1DmsuveRGTCZj2zvT2dsCmUzG4qN3yCupYPaAABREQkKfvqas8h1d/Ouf9dcJ9bUsjta/tXdXUa4v5Kyq+rCOQ44cOZ8nctH9J+Ph6kz/Xt04fvYi4RG/OXYENPFiQJc2HLt0i+sPnjLr224Y6Wkxc9txvGwMGdaxMZcev2HX1QjMdNXYNcQfTytdFp6JYsv11wgFAoa2sGbzAE9UlUTMPPOau2/zmdXRiS+8TYlMK2HjrQQ0lEV838oGY01lTkVmsOiShOuvc963LgbILqli/c14otNL6N3IjLbOhpx6lkFYYiFf+lngZKzBptAE1JRE9Gpkyu3X9cKtpdiY16m51ElluFnV29iFRtSLqja+rh/E4s7jKE5evUPfTkGY/OIr/Su/FlqZGBv+1+/B34mendojEAg4cynk/TJVFWVa+rhz81EktbV1mBno4GlvztXwGHzsjHAw0eHQ3VcM8bfCQEOJ5Vfe0MxWl4lt7ZFklzHuWDR33uQhlckw0FCmiY0uvRqZMSrAlvldndnU34N1fdxZ0t2FeV3ELO3hwub+nswIdqKTuzElVbWsvPaWtTfisdFXY3VvNzSUFZh3/jUXX2QxtIU1vbxNScwu5lTYW4Ib2WCur8nNZ7FoqanQxNma2ro6Hka+omVjNxT/odteZWUVTyKjadOqeYPRbzl/LfT1dNm0ciG1tbUMHTeVl68lH91OIBAwZdgA7K3MWLhlP4XFpYzu0w5tDTUW7zlHZ197WnvYsOXCYwxVYWBzW04+SUZbQUoTax123ksmSGyIUChg7Y04ejcyw8dSh4svstgcmkBWSdX742goK2CooYyBhvJ7r+/M4ioOPEph8RUJz1KLaO1owIKuzvRuZIZIIGDpVQmXXmbTyc2ICW3sOfEsgxuxuXznb0UHVyP23Y3jTEQKX7e056sW9gD8ePUZt6OTGNPND3drI2rr6jhw+T42pgb4utQ3eIp6HYeVmTE6WhrvY/Fryl1hcfHvdl/kyJHz30Uuuj8Dxgz7GltrS2YvWUX6PxQKjvu6N94uDizasp+0zGxW/NCPorIKpm46yuA2HnRr6sTekEiO332JpqoimwY3pZevFYceJDD58BOKK6pxMdFk11feDG1hxZOkIkYejqKoopYl3V1oLTbg6qscNtyKx8NMkx8CbTHUVOLiiyxmn3/NsisSll2tTxHIK3vH8JbWtHYyICyhgJORGQQ6GtDNw4SjT9LrPWdb2aCmKOLnhwm4mGlja6hBaHS9bZaXnQkAV8KicbA0xtasoXh+/jqO2et+xMXemjGDen0Qo8Tk+pEeS3N5/uK/wsTYkJZNfTl35UaDwrROAU0oLCkjLOo1AMFN3UjIyEOSmsPXQW4k5ZTw+G0mMzs5EZdbzpqQOAIc9VnXxx0DDSXW3Yxn3LEXXIjOoqiiYcGbQCBAXVkBQ01lzHXq04tEQgGxWaWsvxnHD0eiiUgp4ssmFizt4Up2yTu++ekZoZJcfmhty/BWNpRUVDNl/23UVBT5oZM31TW13H0eR4C3IwoKIuKSMygpr6CZl0uDY0viEqiuqaFJY8/fP7hyflfsbazZvXEVamqqjJw4k9MXrjToTvsrKspKLJk4jNKyCtbsOYa2hhozv+mGJCWLLSduMO/LQBzM9Jn5002aWGrQy9eKw2EJGCjL8LbUZte9JDq6GCEUClh+7Q0BjvoM9DUnvaiKpVfe8OP9JJ4mF5JVUkV+eTWJeeXceZvHptB4ll19835Gb0EXZ75oZIaWiiJxuWXMPPeK11llfB9gw7fNrYlIKWLvgxTaiA0Y5GdB6KtMdoW+oZOnOaPa1s827Q15xp6QZ3T1c2JgYH3B5M9XHxKXlsPIXkEIhUKKSsoIj3qNfyO3BnFQU6uf9auUj3TLkfOXQS66PwNUVFRYu3gOUqmUibMWUVhUP3KhqKjAyqkj0dXSZPLybWiqKrFw+Be8iE9j3s7TTPnCn0APa9aeCePUg1coiIRM6+LO9K7uRCTmM2j7PR6+yUFJQchXfpbs/7YxQU4GHI9IZ8zRaHRVFVnczQUTLRV23k/m6JM0eniaMLW9I0FO9QV12qoK9PQyZVawGE9zbeJzy9l2JxEnIw2Gt7TmeVoxex8m09pJny7uxhwLTySzqJIRQU5UVtdyLSKOFm5WaKkpk5yZR0xCOsG/VOP/SlJ6FlOWb8PYQI9Nc8eh8pFc79eSOMxMjNDS1PhgnZyG9OneicKiYm79QzMhf29XtDXVuXrvCQAd/VxRVlTg/P0o2nlaYW2oxd6bL2hmq8cQfysuvshi9/1kLHVVWdPHnSntHVASCdj9IJlv9j/jhyNRbLwVz/GIdK7EZHMjNperMdkce5rO6utvGXbwOdPPvOJRYiGd3Y3Z/qUXndyNWH8jjhEHI6mpk7J1oBdfN7NCkl7AiO0hZBdVsPrrAAy11LgT9Zbyqne0960X2VGS+lxfL+eGuf5xickAONra/P6BlfO7Y21pzk9b1tLYy53lG7Yxd/laKio/bF7jYG3Od306EXL/CXefRBHY2JkB7Zty9Ho418NfsPn7Ttga6zB173W8TFUY0MyWU0+SMVSW4WamxdY7iXR1N0FJJGDhJQkqiiLmdRET7GpEfG45+x+lsvTKGxZcjGXdzXhOPsugpLKWLu7GLOxWX+OgpapInVTG6cgM5l2IpU4qY15nMUFOhhSUV7Psyhts9NWY3N6BnJIqFp+Nxs1chxndPBAIBOwNecbOKxF08nVgVv9WCAQCHr9KYNfZ27TxdXk/G3jiSig1tbX0aNeyQQxqauo/foUC+b9xOXL+Kij8+03k/BFYmpuxetFsxs9cwJjp89i6ajE62lro6WixYc5YRsxZzbhFG9m1dCqTBgaz7shVVh+8xKLBXZhz4BarTj6g4l0Ng4I86eVrjYuZDovPRjHp8BMCxMaMaOOEg7EWM4Kd6Odrzq57SWy/m4SZtgqjA21o42zAofBUpp99RRuxId09TTDRatiW+VVmCauvx6GtqsDkdg4UVdaw5PIbLHRVmdLegTdZJey4KSHQ2ZhmDobsCYmkqLyKQUH1o5BHrj9CSUFE15a/tSkvr6xiwpLNCIVCNs4Z22D69Ffq6uqIeP6Cls2b/L434W9CUx8vzEyMuBQSSnDbQAAUFER08G/M+VuPKC2vQFNdjTY+Yq6GxzCmd2uGt/dgzuEHnHsSx9CWDmSXvmPPg2Qyi6uY0sGRVg76tHLQJym/gidJhUiyy4hMLeaWJO+D4xtqKCE21sDPRgc/G12UFYScfZ7Jj/eTKK2qfZ+aUldXx8aLERx7IEFPQ4UNQ4LwsDZEJpNxOOQxFoY6+LnaABAtScBIXwcTg4ZpR3EJyWhqqGNsZPC7x1XOH4OujjYbly9g3+ET7Np/GMnbeNYunovVP7l0fNsrmFthz1i+42e8nB0Y2689yVn5LN9/AXUVZbaN7srUPSHMP3SbCT2a8ZW/HT8/TKBPExtqjTXYfDuBiW3tCX2Tx6qQt3TxMOYLbzOC3YzJLK4is7iKOpkMNSURZtqq6KsrNujO+yKjhJ8fp5GUX0FzW12GtajvLlknlbH86lsqqutY31eMioKQWRdeIJXJWNS7EcqKIg7einovuOcODEQkFPL4VQKTNx7G2kSfGd90QyAQkJaVy/4z12jbvHGD1u8A0TGxAIgdGn6IypEj5/NFLro/I3y8PFizaDaT5yxh2PhpbFy+AHNTE+ytzFg/ewyjF2xg1Lx1bFs4kZKKSnafu4MMWPJ1FxYfvcuWC49JzS1hSm9/nM202TeiBUfCEjlwP55B2+/hZ2dAHz8b/B0NWdHLjSdJhWy9k8js87G0sNdjVrATd9/mcz02l5uxudgZqOFioolIKOBNdhmx2WWYaaswu5MTakoiJpx4RVVNHev6uCOTwZwTkeiqKzOruyeJWYXsv/Gctl62eNgYk5qdz4V7kXRt4Y3ePwjrbYfOkJGTz64lU7Aw+Xi+dnjEc4pLS+X+y/8hQqGQ4LaB/HTkFHn5BRjo1wvVLq2bceLaPa7df0qfjgH0ad2YK49iuPjwBf2CfDgbHsfGi8/wtjFiTmcxJloq7HmQTERKEePb2BMkNsBGXw0b/d9aTdfUSSmpqqVOKkMkEKClqoCiqH7krVYqIyQmm70PU0grrKSxlTYT2zpgoavCsfuxHLj9iorqGrr42DGuc2O01esLw07diSQmKZOZg4IRCYXUSaVExLzF193pg2uNfPkKZ0d7uU/x3wyhUMjQQf3xcnNh5uKVjJg4gx1rl2Jj9Zt7h6KiAgvGfsu3M1awdPtBVk4dycrR/Ri37hBzd55i1rfd2DAymHkHQ9lw7hHDOjamf1MbjoUn0b+ZLVKZGmuuxzE60BZ7AzUuvsjmysscAhz18bHWwdFIA21VhffPllQmI72wkqi0Ym6/ySOlsBJ9dSUmtrWnme1vH4N7H9b/zUxp74CNvhp3Y7MIi8tlQkdXzPXUCJeksfXiY9p5270X3FfDolm05yzWJgZsnfoNOhpqVFRWMXPNLhQUREz8rl+D+NTW1bHn4FG0NDXw8viwPkaOHDmfJ/J5qc+MZr6N2bJqMYVFxQwZO5WomPocXE+xPRvnjCUrr4Dv562lm78nI3q25uL95yz48TSz+7bkm3benHsUy8jNF4jPLEBJQcQ3rRw4PT6IUW3FJOaWMu3oU3ptCGXvnbfYG6jx4yBvhrWwJiK5iNFH6rtjrvnCjUF+FoiEAkJe53D5ZTZl1XUM8DVnaQ9XtFQUWXHtDbFZZcwMdsJKT5WVF16QXljOot7eqCmJWHD4Duoqikzu7Y9MJmPd4asoKogY3rP1+2t9+SaRE1fv0K9Ta7xdHD4aD5lMxuGTZzHQ16O1vOvaf0yntoFIpVKuhd57v8zFzhInGwvO3HiITCbDw84cL3sLDl9/TE1tHfP7+6OiKGLqgTtkFpYzvJUNuwZ5o6GswKyzr/hm3zPuvc17b1UGoCgSoq+uhJGmMvoaSiiKhCTnV7DnfhJfbA9n0SUJqopC1vZxZ3N/TySp2fRZdZ7t16LwsTfm5wldmNu3OdrqykilMk7efsbqIyG0cLene8v6GZKo2AQKiksJ8G2YlpSQnEpCUgqB/n5/TFDl/OH4NvJk57rlyGQyxk6fT2lZWYP1YjsrfviyB6GPIjkTcg8VZSU2ThqEn5sdS/ad52hIGEu+bndQOWsAACAASURBVEOXJo7svvYMFWkFX/hacexRIvY6ivha6bD5diJpRVVMaedAkNiAR4kFrLkex8jDz/n2wDPGHI1i9NEoBu+LYPKplxwIT0VBJGBESxs29PV4L7jrpDL2PEjmyJN0unoY09ndmJpaKZtDYrE2UKePnzXF5VXMPxSKrbEucwYEIBIKOXHzMfN2ncbTwZKdM79DV0ud6poaZqzZxZukVJZMGIaxgW6D696+9yAvXkuYPv6H9y4mcuTI+fyRj3R/hjTydGP3xlVMmrOYkRNnMnHUUPr17EpjNyc2zR3HxKVbGDZrFRvnjkNdVZkNR6+RmVfMqjH9cbU0YNnxewxec5oBgR58194bbTVlvmnlwFf+djx8m8PJx8nsCn3DT3fj6NLIgq9b2tPOxZCdd5M4GJ7G+egsunqYMKKlDZa6qg2mVGOzy1h3I5743HJGtLKmpYM+5yJSCHmZwcg2TjSy0WfrhcdI0vJYNaQ9+ppqnAp9woPot0z+MhgDnXq/bqlUyurdRzHQ1WbUVz0/GYsLV28QHvGciaOGoqgob+39n2JjZYG7sxPnLl/ny97dEQgECAQCvmjfghU/HuPFm0Q8xXYM69aCsRuOceTmU74JbsbKrwOY/NMdhmy9xpIvW+Brb8L+73y48iKL/WEpTD0Vg6m2CoGO+tgbqqOlqkhFdR1ZJVUk5lUQk1FCelF9YVdTW12mdnCgpYM+Man5DN8eQkxqPm6W+iwb1BIvm3pHm3c1tYQ+k3Dg6iPi0nNp5mbL8pE9Ef3SeW/fmWtoa6rT0se9wTX+dOQkKirKtG/dMNdVzt8LOxsr1i2Zy9CxU1m/fQ/zpo5vsP6r7u15HB3L6j1Hsbc2x8vZnrXjB7Jw91m2nrxJXlEZs/p3QEEk5KcbzxkQ4Ea/pjYcD0/Cz06fQX7mHI/I5GF8AS3t9fmuuRV66kqkFFaSW/qO8uo6oL4lvKm2Cu5mWhhp/iZ066QywhIK2P8olfjccjq7GzG+Tb0zycknSaQWlLPuy/qOqvuuR1Jc/o4to7qgqqzI1bBoVh+6TEAjMctG9UVJUYGqd9XMXLOLsMgY5vwwmJb/9LF5+NQ5Dhw9Ra8uHekQ1Op3jr4cOf8ZtXVScgrqrX1VVRTQVPuwNkuOXHR/tthaW3Jg+zrmr1jPmi27iIyOYdakMXi7OPDj0qmMW7yJYbNXsWzScFaPHcD8XacZvGAn84b15PiMfmy5GM7h29FcCJcwMNCdvq3c0FRVJsDZhABnE5JyyzgSlsDFyDQuPEulWyNLhrWyp09jMw4/SePw4zR+fpyGhrIIOwN1BALILH5HTuk7tFQUWNbDhWZ2ejyOz2PN5Ria2BnwTUsHohOzORgaRY9mYgI9bEjKzGXD0Ws0c7enb9vfRiTP3rjPq7gkFo77DnVVlY/GICb2Das27aBJYy/69+r2R4X+b8MX3TqyaPVmIqJe4utd/487uFUTNh86x+GLoXiK7WjqakvrRk78eP4ejRwt8LK3YPcPHZi6/w6jd93ki2aOjA72ppuXKZ3cjbkZm8u1Vzmcisygpq6hs4SRpjJuZpoMaGJBKwf9eh/vkkqWngznwtN49DVVmN+vOcGNbBEKBWQXlHDsVgTn70dRUlGFpZEui4d1p72vC0Jh/YfepTvhhEfFMn5wT9RUfhM6CcmpXLt1j4G9u6Gnq/PHBVXOn4KbsxNfD+jNvsMn6NWlIx6uzu/XCYVClk4axjfTljNt1Q72LJuGhYkhi0Z8gb62BkdCHpFfXMbcoT1QVlTg6N0YgjxtmNDRhe03JbzOKOaLJjZIRYpcf53L3bh8FIQCPMy1cDPTxNtCG0tdVfTUlVASCSl7V0tMRglxueVEp5cQkVxESVUt5joqzOssprW4vr4gOqWAnbfe0MzBEH8nI7KLyjh5/xVd/BxxMNMjOTOPxXvP4eNsw9JRfVBSVKC6poapK7cTHvWamSO/+qB48sad+6zftpugVs2ZNn7UH3oP5Mj5V7yrqSM6rr7Gp7HYSC66P4FcdH/GaGposGbRbA4dP8O2vQd5GSthyawpeHu4sXfFdCYt28rEZVsYM6gX++YOZ/aOk0zacJgeAY2Z0L8DfVu6sePyU3ZeieDgrWh6NBPTL8AdMz1NbAw1mNndk6GBjuy/H8/5Z6lciEylg4c5XzW1YUxrOx4lFhCXU05KYSUyKbiaajDIz4LWTgaoK4u4/TqLBaefY6WvzpI+jaiurWPxkTsY62gwvkczamvrmLfrNCpKiswb2hPhLyOXGTl5bNp/Cl8PMcEBH08NyMrJZfLcJejr6bBk1hREcg/m/zHtW7dk486fOHbm4nvRraaiTP9Ogew9fY23yek4Wpsza3Anhq44wJStp9g++UvszQ05OL4zO65FcfRBLPdepTGtlx8BrhZ0dDOmo5sxNXVSckrfUVpVi5qSCEMNZVSVfrtHeSWVbLr0jJNhb6iTyhgU6MKQth6oKytSVvmOXefvcepOJFKplNaNxPQK8MZXbP1ebAM8jIxhyY7DNPFwol+nwPfLZTIZa7fuRl1NlW8H9P7jAirnT+W7L/tx8vxlDp86x/J/EN0AWhrqrJ35AyNmr2H0gvXsXDwFE0M9JgzoiKGOJpuOXye3qJSVo/thrKvBtouPeZOez8T2vtyLK2T/vThUFUW0dTfF0VSXvIpaotJKOPw4DemHroXv0VdXopmtLv72+rSw10MkFCCTybgnyWHRmecYaCozt8cvheS364sph3RojEwmY83Pl1FWVGDJ931QVlSkrk7K7LW7efT8FXNHf033ti0aHEvyNp4FK9fj6ebC4llT5L70cuT8BZGL7s8coVDI1wN64+PtwZyla/h+0ixGD/uGQf16sXvpVBZt2c+mA6d58SaRTZO+4uj1xxy88oCwF2+ZNrgL60cE8yY9n59Dozl+L4ajd1/S0tWKHs2cae5iiZG2KlO7uPN1S3sOPojnYmQal6PScDDWJNDZhEB7PWwMLdD55as1q7iSu7FZXI5K42liPo7GWmwY7Ie2mhIrT9wnJbeYrT90Rl1Fib0X7hKblMnK0f3ep5VUVFYxZcV2EMCcH75+L8T/EalUysKVG6isrGLb6iXykcz/T1SUlendLZi9P58g9m08zo71U95fdm3DyWv3WLn7GDsXTkBHQ5V1Y/syas1hhqw4wNxvutDO15kJ3Xxo723NslPhTN1/h+BGNozr0hh9TVUURULMdRp2B62TSolMzOHCk3huvUihtk5GB29rRrT3xFy//v5Hx6cxb88FsvJL6NrCgyGd/TEzaHh/q95Vs/PYJQ5fCsXeypSVk4c1aIhz7soNHj+LYurYEe8bhMj5+6OqqkLXjm05ce4yxSWlaGtpNlhvZ2nG5vnj+WH+eobPXs3GuWOxszRjUKcWGOtps3D3Gb5euIt5w3qyY0w3FvwcyvKjoTRxNGN8O3vi8t5x42UmFyPTMNZSoa2bKSNbWqKqpEhaURVFlTXU1ElRU1LAREsZW301jLWUEQgElFbW8CQhj6eJedyTZJOcV46lnjqbv26KvqYKyTlFnLz/imBfR8z0NImITSQ8JoFJA4PR164vLN936gq3Hz9n8tD+Hwjumpoa5q1Yh7amJqsWzERZST6KKEfOX5HPVnSLxeJFQB9ABuyRSCTr/uRT+lNxc3bi4I4NLFmziU279hH5IoYF0yeyfMoIfj5/gy2HTvM6LpnlU0bQ2seZpfvOM2XTUdo2cWX64C4sHBTED12acCbsNWfDJNyLSUFXQ5W23rYEedribWfClM7ujAwSc+1FOlej09l39y17PjHKY6ylwviOLvT1s0FBJOTk/VecfviaQUGe+Dqak55TwL4Ld2nj60rQL36zUqmU+Zv2EZ+SzvpZYzA3/rjN28WQWzx9Hs3sSWOws7H6vUL6f4LBfXty+uI1NuzYx/Y1ixEIBGhpqDH5uz7M33KAn06HMLRPMNbGeuyf/Q3Tt59h1q6z3ItyY/KA9rhZGvDTmGB+Co1h362X3I1Jo72XNZ0a22KgpUZldS2J2UU8jc/mQWw6+aVVqCsr0q2JPV+2csHiF7FdJ5Xy44X7/HQ5DBN9LXZN+wpPe4sG51pTW8vZGw/Ze/oa+UUl9O7QkrGDGqaVJKWms377HnwbedCnW/AfGks5fz6d2wVx5NR5bt17SK8uHT9Y72JvzfaFk5iwdDNDZ65iycShtPDxoH1TdyyN9Ziz8xRjVh+gSwsvNg5vz91X6Ry+/YInp+5hqqfBV02c0NXVJSw+n+PhSRwOS8RQU5lG1vp4WethoaOKUCigqKySy6n5xGeX8iarhNSCcgAUhAI8rXT5tpUD7d3NUBAJqXxXw9Kjd1FRUmB013rb0wOXH6CnpU6vIB8A4lMy2H3iIh1b+dG/c9AH13X87CUSklJYt2Qu+nq6H6yXI0fOX4PPUnSLxeJAoA3gCSgCr8Ri8SWJRPLx3sD/R9BQV2P5vOkcP3uRDTv2Mvj78SydM41BPdrTyNWBWWt/ZNjsVYwa2IOf5g7n55Awfjx7m0hJMjO+6Urrxi5837kJwzr68OBVClcj4rgQLuHk/Vdoqirh52ROU2cL/B3N6N3EmrKqWl6lF5FaUE5JZX0jBiMtFeyNNHE200YgEFD5robtl55wKDSalq5WfN/Z95ep0yuIREImDvztH+OuYxe5Hf6cid/1xb+x+0evsaamhh/3H8ZV7EiPzh3+kLj+ndHQUGfE1wNYtXkX128/oENQfY5ocCtfHkW9ZufxSygpKTC4ezsMdTTZNfUr9l5+yL7LYURIUpj3bRf8XG0Y3t6Tjt42HLj9iosRCZx7Et/wOCqK+Dma0tbDipYu5qgo1b9aZDIZT2KT2XjiFm/Tcujm78HE/u3QUG3ouHDr0XM2HTpLRk4+jVwcWDFp6AeNcIqKS5gybxnKysrMnzruo7Mkcv7eiB3tMTM15u7D8I+KbgBneyv2rZjB5BXbmLB0C1/37MDIgd1xtjHj0MLv2X3uNkdDHhES/pJ2fm4sHOBPQWUd5x9J2H3tGSKhgCBPW1b29aSwSsbDtzk8Tcwn5GXGB8ey0FXD3liTzt7meFjo4mKug7py/bNf+a6GB69S2HjuEen5pSwaHIS+phqvEtMJexHHqN5tUP6lOHzH4XOoKCsxZVj/D+wva2pqOHTiDE0ae9GqudypR46cvzKfpeiWSCR3xGJxkEQiqRWLxebUn2f5n31enwMCgYD+vbrh5uzE7CWrGD5hBpN+GEaf7p05tHYOS7YeZMuhM0RLElg4/jtaeYlZuPsM0zYfo2tLbyZ9GYyGqgqBHjYEethQ+a6GsNg0Hr5O4VFsGjejEgEw0dXA3cYIF0tDbIx08LbQry+MkEFJ5TtuRSXy9G0Gt6ISKSqvoldzZ6b0boGCSMjZOxE8iH7LhAEdMdbTBuDO4+fsOXGJ7m1bMLBr209e37EzF8nKyWXWpDFy7+X/El907cj5qzdYu/VHGnu6YqCvh0AgYM6oL6mtq2PzoXPEpWQwdUhfNNRUGdG9FS09HViw9yJjNhxlUAc/RvUMxMpQizl9mzGha2MiE3Moq6pBUSTE2kgLWyNtFES/ieCq6hruRcVx9OZTXiSkY6qvxbIRPWnn2zAXt04qZcP+0xy7cgdHa3M2zhpFMy+XD+59dm4e42YuIis7l80r52Ni9HFPdzl/bwQCAa2aNeHspRAqKitRU1X96HamRvrsXT6ddXuPc+BsCPeevmDKsP74ebowpm97+rRpwoHLD7jyMIorD6OxNTPki9Y+jO7qS0hkIhfCJdx4noCblSF9Wroxq5s7FdVSckqqkMpkaKspYaylSq20jviMAuKzCgl7Gc+Z+2Xkl1SQU1ROVmEZdVIZFgZa7BjTlUb2ptRJpWw+fh1NNZX3heWx8SncfvyckQO6o/ORjru37j0kL7/gA9cWOX8fSiuqqayqBeoLEuX8ffksRTeARCKpEYvFC4EpwAkg/U8+pc8KdxcxB3dsZN7ytazatIOXryXMmjSGFVNHcOxyKBv2nWDIjJWsmzWafXOHs+fCHfZduMfjmHgmDgwmyMcFoVCIqrIibbxsaeNli0wmIzGrkIi4TJ7FZ/IiMZsbkQmfPAdVJQWaOlvwVWtPPG2NAYh6m8LqQ5dp5m5P//ZNASgoKmHptkOIbS2ZPmLgJ8V0YnIqO346RMtmTWjm2+i/H7T/o4hEIhZMn8C3Y6Yya8katqxciJKSIooKCiwa9w3WZsbsO32NZzFxzBjenxaN3XC1MeXA7G/ZePIWh0IeE/YykSkD2+EjtkZDVYlWrhYfHKesoorw10ncef6We1FvKa+qxlRfmykD2tOjlRfKig1fNzKZjDV7T3Aq5D4DuwQxdlCPD4rDpFIpl66HsmHHPurq6li/dA6NPNx+13jJ+bwJaunPsTMXefg4gnaBn7aLVFFWYtaoQQT6ebFy1xFGL9hAYzcnBnRpQ6smnkwb3IUxfdtx43EMZ+5EsPbwVVSUFOkR0Jh947vxOC6Lw7dfsPDwbZQVRTia6WNhoIVIKKCgtJLUvBLS8kreH09RJMRYVwN9TVXcrI3o0NgBL1tjfBzNUFIQUSeVsvrQZSJik5jzXXc0fnFt2n/mKupqKgzo0uaj13Ex5BYmRoY09fH+6Ho5f30qq2p5JskBQGz9108fktsHfprPVnQDSCSS+WKxeCVwARgO7PqTT+mzQktTg3VL5rL35+Ps/OlnMrNyWL1oNgO6tMHBypwZq3cydOZK1s8ew8hebWjh6cTy/ReYue0E1ib6BDf3xNPBEhN9bbTUVVFVVsLOVA87Uz36tqoXNsXlVSTnFJNbXE5JxTuEQgHqyoqYG2hhb6qHkkK9SKqtrePo9UdsO3UTE31tFo3sjUgoRCaTsXT7IcoqKtm2cCJKn/DajktMZuz0eaipqjJzwmj5KPd/GXsbK+ZMGs2cZeuYtWQ1S+dMQVlJCZFQyIh+nWnR2JVFW39m4ooddGjhw5Tv+qCjpcH0rzri72HPqp9DGLX2CM5WxgR6O2Ftoo9IJKC4rIqkrDxexGfwKimTOqkULXUV2vg4E9zUlcZOVu/9tv+ZS3fCORVyn0Hd2zJuUEOvdqlUyu0H4ezaf4T4pBS83FyYM2UMNpbmH/0tOf938Paon625cPXGvxTdv9LCx4MTm505e/0eB86GMG3VDnS0NAhs4kVLX0/aNnGle0BjYpMyOHo9nJOhTzh7J4K+7fzY8UNn0gvLuR2diCQtn6jELGQy0FFXwclcny5NHHE008feTA8THQ1kyKiuqUX6i+VJTV0dSRm5vIxP4+Stx8Sl5TC4Uwu6BzQGIFoSz42HEXz7RTAa6h+O2qemZxD+NJIhX/WTp1PJ+csgtw/8NJ+l6BaLxc6AikQieS6RSCrEYvFp6vO75fwTQqGQYYMHYGVuxoJV6xk2fhpbVy3B10PM7mXTGLd4EyPnrmXZ5OG08vVk//wR3Hgcw7Eb4ew8E/rB7ykrKWCgrYmhribWJgbYmRtiZ26Em6U+hrpa7wWUTCajqLSCyNQsnrxK4GrYC3IKSwjycWHWt93Q1qhvFX7m+j3uPoliwrd9cLD+UDDJZDLOX7nO2q0/oqamyva1SzEy1P99g/Z/lI5tAiguLWP15l2MmjKXZXOmvE/TcHOw4eCqaew/e519p0N48kLClCF9ade8Ea08HWgitubq4xhO3Y5k5/l7DX5XSUGE2MqEQR388Pewx8POvEGqyceIT81k1Z4T+Lg5MvrL7g3Wxb6NZ+m6rcS+TcDKwozFMyfSIaiVXHTIAepnbr7oGsyu/YeJT0rG3sb63+6jrKRI/y5t6B0cyIOIF1x/8JQbDyM4d/MBSooKtPL1pFeHAOYP68nwHoH8eO4OP199yPHr4bT2caFLC2+GdWiEhlr96HR55TuSM/N4lZTOncfP2Z2aTXpuISXllZ88B0dLY5Z+34f2TevrWcrKK1m2/RBGejp817vTR/c5dPwMIpGI3t0+vl6OHDl/LT5L0Q3YAQvFYnFL6t1LegB7/9xT+rzp0CYAfX1dJs9ZzPCJ09m6agk2Fia/+HlvYfLybYzo340hfToR3NyT4OaeFJdVEJucSV5RKaXlVVS8q6asooqcwhKyC0q48yyWc3efvT+GSCREXUUZBZGQiqpqqqrriytFQgFNXO2Y/nUXWno5vR+lfvpCwurdR2nm7frRPO68gkKWrtnE/fCn+Hh5sGjmZLng/p3p16Mz+ro6LFy1if5DxzLymy/p17MzCgoKKCkqMrxvZ4KaerN4+8/M3rCPa/efMvGbLzA3NqBnK296tvKmoqqatNxCANRVlTHR0/rkaPbHKC2vYPqa3aipKLNo7DcN9j1+9hLrd+xDV1uLBdPG07FtgNyPWM4H9O3RmWOnLzB9wXJ2b1z1H1tHKohEBPp5E+jnTU1NLdGSeEIfRRJy/yk3w57hYG3Od707MW9oD4Z0C+DEzcdcvB9JSPhLANRVlJABFVXV739TW0MVsZUp7fzc0NNSR0VJEeEv70AFkQh9bY33gxe/vhsrKquYsHQzyRnZrJ81BrWPNAiLinnNmUvX6NujC4YG8veiHDl/Bz5L0S2RSC6LxWI/IBKoA05JJJKjf/Jpffb4eHmwdfUSxs9YwMiJM9i2ZinWlubsXDyF5Tt/ZufR89yPiGbCt33xcrZHW0ONpm72//I3C0rKSEjPJTU7n8y8Isoq31FXJ0VFWRETfW1sTA3xdLBE/R/cKGpr6zh+JZTNB09jaWrEssnDPxilTEnLYPTUORQWFzN59HD69ewqH8n8g2gb4I+zoz2rNu9k/Y69nL1ynck/DH2fM+pgZcaeJZM4cimUH09coe+EJXQO9KNnW39c7a1QU1HCydL4f3xcqVRKxKu3LNl+mNyCYrbMHY3hL4W2AIdOnGXjzp9o2cyX+VPHyT245XwSHW1t1iyezeipcxn8/QT6dO9MM99GmJoYo6mh/h+lpykqKuDjLsbHXcy4b3pz7d4TDp4LYfa63ew7dYUR/bsxYUBHxvRrR8TrJOLSsskrKkUgEKCnpYGVsR7ONmaY6Gu/P15NTS3VtbUoKSigqPjhv9eikjJuhz/nx2MXyCsqZumk4TTzdv1gu4ysbGYtWomJkSE/DB38vw+YHDlyPgs+S9ENIJFIFgAL/uTT+Mvh5uzE9rVLGT1tLiMmzGDTigWIHe1ZOO47mnm5svngaYbPXo2VmTFNPJxxsrFAXU0FgUBATU0tUpkMBZEIHS0NLEwMMTMywNfFFl8X23977JSMbEIfRXI65C4ZOfm08vVk/thv0VRXa7BdanoGw8dPRyqT8uOGlbg4Ofxe4ZDzCcxNjdmwdC53w56wYcdexkxfQMtmvkwbOwJTYyMURCIGd29HcMsm7Dl1lct3H3P+Vhia6qo4WJmjramGuqoKNTW1lJRXUlxWTlFJGaXllVTX1M+AqKuqoKWh9t6RISMnn9zCYkwN9dixcDyeTr89U1du3mHjzp9oG+DP0tmT5R1I5fxbvD3c2LZmCVt3H2DL7v1s2b0fAAUFBfT1dDAzNsbOxgpHe1tcxY7Y21ijpPTxmhIlRUW6tfGnS+tmXH/wlF3HLjJt1Q7MjPRp18KXdv4+DGzf7L2Qrq6pISUjh8fPXxItSeBNYippWbmUVfyWXqKooIC2pjpqqiooiESUlVeQU1AEgKuDDcsmD8fL5cN3X1Z2DqOnzqXq3Tt2rluOupraB9vIkSPnr8lnK7rl/P/jaG/LrvXLGTN9HiMmzmTBjIkEtWxO59bNaN3Umyt3w7n3JJqLoQ9590uKyKdQUVbCxd4aN0cbnGwsMTPSR11NlTqplLyCIpIzsolNSOH5qzgyc/MB8HK2Z8qwAbT08fhgxKmsrJxJcxZTJ61j98aV2FhZ/m5xkPOvEQgEBPr70dy3EcfOXGT3oWMMGDaO0cO+pnfXjohEIgz1tJkxvD9jvurO3acviHwVR1JGNimZuVRWvUNBJEJTXRUdTXVszIzRVFdDRVkRqUxGReU7ikvLKSotQyAQ4O1iT4vGbrT282rQ8ObFKwmL12zGx8udRTMmygW3nP8YL3dXdm1YQVpGJm/iE8nIzKawuJj8/ELSMjO5dusupy5cAerFuK2VBbbWVlhbmmNpboadtSW21lbvxbhQKKRjKz/a+vsQ+iiSS6FhHDwbwoEz1xAKBehoaiCTQVFpGTJZfbGktoY6zvZWeIjtMNDVRlFBgZraWsoqKikpLae8soraujo01FSxMDGkiacz7o62H53Ze/lawuS5S3hXXc2m5QtxsLP5w2IpR46c3x+56P6bYmNlyd5Na5gyfwnT5i/ji67BjBoyGB1tLXp3DKR3x0Dq6qTkFhZRVVWNVCZFSVERoVBAdU0tRSVlpGRk8yYxlZdvEzl+OZTqmtqPHstQTwd3J1sG9WhPQBMvTAz1PrpdRWUlUxcsIzU9k62rFssF92eCkpIig/v3om2gP8vWb2P15l1cvh7KtLEjcRXXj8RpqKnSOcCPzgH/3eYcCcmpTJm/HCMDfVbMm/bJkUg5cv4VFmamWJiZfrBcJpORkZXNK8lbJHEJvI1P5GWshOu3770XzcpKSvg28qR961YEtWqOmqoqCiIR7Vv40r6FL4XFpYRHvSYpPYuCohKEQgF62lpYmBri5miLlanR/9ptSSqVcuLcJTbv+gl9fV22r1kq78Yr52/BP9oHgtxCUC66/8YYGeqze8Mqtu45wNHT57l++x69u3Wma8e2WFuaIxIJMTH4uEDGHLz/YeqztraO5IxscvILKS2vQEFBhIGuNubGhujr/Pvc26ycXGYuWslryVvmTZuAj7fHf+sy5fyXMDMxZvOKBVy9dZd12/bwzegptA3w58s+3fF0df73P/A/JCb2DeNnLUZB4f+1d+dxUpR3Hsc/PRcDMjPccs0gCvwQRBE1aAiCAVRQ8ULxtmO1fwAAEHFJREFUpYliglGT3TWiZl3X9Vh3szGrYrJRMfFAY+IaN4kxQV3B+75GRDl+cgiKgNwOcsydP6oHm2Eumumu7p7v+x+6qqubbz9T3f3rqqeeJ4eZ/3G9+nBLq4tEIvTp1ZM+vXoyYezo3esrKipZvWYty1euYsHCJbz8xlvcdOtMbv3FPUwYO5ozTz2JoYODi8I7FxVwciv/2Iz14aIl3DnrARYsXMxxx4zg5mtn0LlTUfMPFEkDscMHgoYQVNGd4fLycrny8u9z2snjueeB3/LwY39k9qOP07d3L4bYQPr27klRUSEdDwj6HhYWFNCjWxf69um9x6gROTnZHFLSm0NKerf4/964aTPzP1rEy6+/xdwXXyU7K4tbb/oXxow6NhEvVVpBJBJh4rgxjB55NL99/An+8MQcnnv5dQb078e4Md/k6COGMXjgIeTnt2v+yRpRtu0rfvf4X3josT9xYPeu3PXzmxs8SimSKHl5uRx8UAkHH1TChLGjmfHD6Xzw0SL++sxzzH3xFZ58Zi6HDhrAyePHcsK3jqPXgT0afa6amho++3wty1asZPWatWwtCybMaZ+fT+dORXTr2oVuXTpTUNCRvNxcyssrWLd+A4s/XspLr73FIl9Kp6JCbr72SiaOP0FzFIhkMBXdbcSA/v24/ZbrWb9hE8+/8hrvvL+AjxYvYd5Lr1JTU7PX9nm5uQwdPIgxo47lpG8fT7eujRwRj6qtrWXZipW88U4p73+4kCVLl7Nx02YACjoewBmTTuSi886mZxNfXpI6OnY8gMsvvoBp553NnLkv8PRzL3Hv7Ee5l0cB6NqlM0WFBeS3a0ckArW1wT6Qk51Nu3Z5FBUW0KmwkE6dCinsGFxI+WXZNnzZCt5+/wMqK6s45cQT+PGlF+sIt4QuEokwfNhQhg8byowfTefpeS/y5zn/z8y772Pm3ffR68AeDDj4IHr37EHXLl2orKxkw6bNfLLqU5atWMn2mAso83JziWRFqKio3N2FpTGH2gBm/PASTp80odEp7UUkc6jobmN6dO/KeWdN5ryzgglJqqur+Wr7Drbv2MGOnbv4sqyML9Zv4OPln/B26QfcOet+fvnrBzl6+OGMGXUsRxx2KH179yQvN5cvNmzi4+UrePu9+bz61jt8sT44hXRQSV++MeIIBg8cwNDBgxgyeKDGWk5T7dvnM2XyRKZMnsiWrV+yYOESlq/8lDXrvqBs21fsKq+gtraWrKzg6Fx1dTXl5RWsWPkpW8u2sfXLst2FR3ZWFiXFfTjr1JM59cQTGDyw6eEqRcJwQIcOTJk8iSmTJ7Hqs895891S5n+4kOWffErpgo/Yvj3on1pUWMDB/Uo4efxYhgwayKBD+lNS3Gd38VxVXc3WrV+ycdNmNm7ewlfbt1NRWUVebg4Hdu/OQSV91Y1EpI1R0d3GZWdnU1RYQFFhwR7rJ00I/l312ec8Ne8F5r34Kv/9P7MafI4O7dtzzJGH84MLz+e4Y0ZoIocM1blTEWNGjWTMqJEtfkxNTQ3bd+wgQoR27fLIzdWFkpI++hX3oV9xH6aeeRoQnM0pr6ggNyen2VF2crKzg64lzZwlFJG2Q0W3NKlfcR8uv/g7XDbtAlavWctiX8bWsjLKtn1F965d6N+vhCE2gJwc7Uqyt6ysLAqi3UtE0l0kEiG/XfzXM4hI26ZKSVokEolQ3Kc3xX1afiGliIiI7G3bjgp27gqG4S2vrA45TfLEDiHYFocPVNEtIiIikkQ7d1VR6usBsH6dQ06TPLFDCLbF4QP3nhJLRERERERalYpuEREREZEEU9EtIiIiIpJgKrpFRERERBIsZS+kNLMbgXOji3Pc/Sdh5hERERGJV1sdsUS+lpJHus1sPHAicCQwHDjKzM4MN5WIiIhIfOpGLCn19VRV14QdR0KQqke61wJXuXsFgJktBkrCjSQiIiIiEp+ULLrdfWHdbTMbSNDNZFR4iURERERE4peS3UvqmNlQYC5wjbsvDTuPiIiIiEg8UrboNrNRwHPAte7+UNh5RERERETilZLdS8ysGHgCmOruz4edR0RERERaT1V1Des37wAgKwtqoteWts/Pydjp4VOy6AauBvKBO8ysbt0sd58VXiQRERERaQ3lldUsWLYRAOvXGV+1BYAR1kNFdzK5+xXAFWHnEBERERFpDSnbp1tEREREJFOo6BYRERERSTAV3SIiIiIiCaaiW0REREQkwVR0i4iIiIgkWEqOXiIiIiKSzrbtqGDnrqrdy+WV1SGmkVSgoltERESkle3cVUWpr9+9bP06h5hGUoGKbhERERFJCbEzVUJmzVCpoltEREREUkLsTJUAhw/otrubTroX4Cq6RURERCQlxRbh6T5FvEYvERERERFJMB3pFhEREWkFsSOWaLQSqU9Ft4iIiEgriB2xRKOVtL7Yiyxj+3fH/thJ5X7fKrpFREREJOXF9u+OvcCyvLKahSs2Aand71tFt4iIiIikldgCPF3OKuhCShERERGRBNORbhEREWmzGusPnC79hGVPqTy5TqYV3dkA69atCzuHtCHjxo07CFjt7lVxPFz7rCSV9ldJN/uxz7Zof91VncM7C9cCcMzQXnyZXbXX+pGHF/PFhq//+3a5ESI1lQDUZuVSXlkb3BHJYsuWLQCU9+qw+3b95Zbc1mPie0zZ9g68v+jz3Y+P/ds19neLXb+/mtpfM63o7gVwwQUXhJ1D2pZPgP7Ayjgeq31Wkk37q6SbePdZ7a8Shkb310wrut8BRgNrAQ2QKcm0Os7HaZ+VMGh/lXQTzz6r/VXC0uD+GqmtrU12EBERERGRNkWjl4iIiIiIJJiKbhERERGRBFPRLSIiIiKSYCq6RUREREQSTEW3iIiIiEiCqegWEREREUkwFd0iIiIiIgmWaZPjZAQzGw3cCeQRzGx0kbtvafpRqc3MRgEzCV7TJuB77r4q3FStw8xuAard/aaws8TLzM4HrgdygTvd/a5GtjsF+JW7909mvmRrrj3MzIB7gc7AOuC8dH+PpgozKwReB05195X17kvpdm8m+wiC7HnAZ8B33H1r0kM2wMxuBM6NLs5x95/Uu384cB9QCLwMXBbHlOxpq7n2SRdmdhvQzd2nhZ1lX5nZacCNwAHAs+5+RciR4qIj3anpQeC77j4MWARcE3Ke1vA7YLq7D4/e/mXIefabmRWZ2f3AVWFn2R9m1gf4T+BbwHDgB2Y2pIHtDgRuAyLJTZhczbWHmUWAJ4GfufsRwPvAtWFkzTRmNhJ4FRjUwH0p3e5NZY/6BXBDNLsDVycrW1PMbDxwInAkwf5+lJmdWW+zR4B/cPdBBO//S5KbMjwtbJ+UZ2bjgIvCzhEPMzsYmAWcARwOjDCzieGmio+K7tR0qLsvMrNcoA+QMkdy4mFm7YDr3X1BdNUCoCTESK3ldGApcHvYQfbTeOB5d9/s7tuB/wOmNLDdfcDNSU0WjubaYwSw3d2fiS7/FGjwzIDss0uAHwFrGrgv1du9qewA2QRHigE6ADuTEaoF1gJXuXuFu1cCi4n5fDazfkB7d38zumo2cE7SU4anyfZJB2bWheBAwk/DzhKnM4HH3H119G8wFXgr5ExxUfeSFOTulWY2DJgHVALXhRxpv7h7OcGREswsC7gJeCLMTK3B3R8GMLObQo6yv3oTfLHUWQt8I3YDM/snoBR4k8zXXHsMANZFz3IcSfAl/I/Ji5e53H06QNCLZC8p3e7NZAeYATxrZncC24GRSYrWJHdfWHfbzAYSdKMYFbNJQ++HvslJF74WtE86uBf4V6A47CBxGgBUmNmTBD94/gb8W7iR4qOiO0Rmdg5BP+dYS9x9vLt/CBxoZpcCjwHfTHrAODT1mswsD3iIYL9Lm1/cTb2mMPIkQBZQG7McAWrqFszsMOBsYBxt48u2yfYg2H/HAse7+7vRPv13ANOSFbCNStt2N7P2wP3AeHd/28xmAA8Dp4Sb7GtmNhSYA1zj7ktj7mru/dAmNNE+Kc3MpgOfuftzZjYt7DxxygGOJ3j/f0XQzewigrMuaUVFd4jc/XHg8dh1ZpZvZme4e92R4EdIo+4LDb0mADPrSPBG2QScHj1FlBYae00ZZDUwOma5J3ueIj8H6AW8S3ARWG8ze8XdYx+TSZprj3XAUnd/N7r8KEEXFEmsdG73w4Cd7v52dPle4JYQ8+wheqH7H4Efu/v/1rt7NcH7v07990PGa6Z9Ut1UoJeZzQe6AB3NbKa7Xxlyrn2xDpjn7hsAzOzPBGcfZ4cZKh7q0516KoG7zOyo6PK5BBfnpLtHgGXA1Gh3E0kd84BxZtbdzDoQHNWu6zeLu9/o7oOiF8FOAtZkcMENzbQHwegU3c3siOjyacB7Sc7YFqVzuy8Diu3rvienA++EmGc3Mysm6O53fkMFZXSUqV3RwhPgu8DTSYwYqubaJ9W5+wR3Pyz6+X0D8GSaFdwQdCc5ycw6mVk2MJH0ee/vQUV3inH3aoJfpr+O/jKdAkwPN9X+MbMjCb5kRgGlZjbfzJ4KOZZEufvnBP39XgDmA7+PngJ/ysyODjdd8jXXHu6+k+DCnt+Y2ULg26T5CDapLJ3bPSb7FoJuMH8wswXA94CLQw33tauBfOCO6GfzfDO7rN77/wJgppktATqSAaNP7YMG2yfsUG2Ju78F/JzgAOQiYBXBKG9pJ1JbW9v8ViIiIiIiEjcd6RYRERERSTAV3SIiIiIiCaaiW0REREQkwVR0i4iIiIgkmIpuEREREZEEU9HdhpjZbDO7upltppnZ35KVSSReZvasmXULO4eIiEhLqOgWkXQ1IewAIiIiLaVp4DOQmWUBM4FjgQIgQr0JdsysCvgZwcxOBwDXufufonf3MrM5QAlQRTAT12IzO5ZggPp2BNMCz3X37yfhJYnswczqJkZ4wcwmuftnoQYSaUBjn8Xu/lqowUQaYWa/B95z99ujy5cDY919arjJMoOOdGemkUBv4Dh3HwI8BFxbb5tsYIe7H0Uw1fwDZtY9et/BwBXuPgx4mWBGLoArgBvcfSQwBJgcM129SNK4e91sfieo4JYU1pLPYpFU8huC2VPrTIuuk1agojsDufsbwPXApWZ2G8FU8h0b2PRX0e0XAB8Cx0fXv+3uy6K35wM9orcvAjqZ2XXA3UD7Rp5XRKTN24fPYpFU8SKQb2ZHm9kQoDvwXLiRMoeK7gxkZqcAc6KLfwFmEZzWrK8q5nYWUB29XRmzvjbmsS8Dk4AlwL8DnzfyvCIibd4+fBaLpAR3rwXuBy4ELgbuj66TVqCiOzNNAP7q7vcA7wJnEHQnqe9CADMbAQwGXmrsCc2sE3AM8M/Rvt99gQGNPK9IMlQDuWGHEGlCSz+LRVLJbGAycA7wYNObyr5Q0Z2ZZgFjzexDoBRYDvRn77/3KDMrBR4Aprr7lsae0N23Av8FlJrZRwT9El8jKLxFwvA48JKZHRZ2EJFGNPhZHL3AUiQlufs6gv11gbuvCTtPJonU1uqsQVtkZrVAd3ffGHYWERERkUynX9siIiIiIgmmI90iIiIiIgmmI90iIiIiIgmmoltEREREJMFUdIuIiIiIJJiKbhERERGRBFPRLSIiIiKSYCq6RUREREQS7O8y2A21eOHScAAAAABJRU5ErkJggg==", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "alpha, t, a, v = m.nodes_db.node[[\"alpha\", \"t\", \"a\", \"v\"]]\n", "samples = {\"alpha\": alpha.trace(), \"t\": t.trace(), \"a\": a.trace(), \"v\": v.trace()}\n", "samp = pd.DataFrame(data=samples)\n", "\n", "\n", "def corrfunc(x, y, **kws):\n", " r, _ = stats.pearsonr(x, y)\n", " ax = plt.gca()\n", " ax.annotate(\"r = {:.2f}\".format(r), xy=(0.1, 0.9), xycoords=ax.transAxes)\n", "\n", "\n", "g = sns.PairGrid(samp, palette=[\"red\"])\n", "g.map_upper(plt.scatter, s=10)\n", "g.map_diag(sns.distplot, kde=False)\n", "g.map_lower(sns.kdeplot, cmap=\"Blues_d\")\n", "g.map_lower(corrfunc)\n", "g.savefig(\"matrix_plot.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7. Posterior predictive checks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An important test of the model is its ability to recreate the observed data. This can be tested with posterior predictive checks, which involves simulating data using estimated parameters and comparing observed and simulated results." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### extract traces\n", "The first step then is to extract the traces from the estimated model. The function get_traces() gives you the samples (row) from the approaximated posterior distribution for all of the estimated group and subject parameters (column)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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aa_stda_subj.3a_subj.4a_subj.5a_subj.6a_subj.8a_subj.12a_subj.17a_subj.18...alpha_subj.39alpha_subj.42alpha_subj.50alpha_subj.52alpha_subj.56alpha_subj.59alpha_subj.63alpha_subj.71alpha_subj.75alpha_subj.80
01.6632580.3793351.9997661.9647811.5012282.5588702.1343541.8080651.4281451.904139...-2.569240-2.348125-2.279293-3.002542-2.038603-2.255088-0.153830-1.809325-1.738580-2.323516
11.6231700.3597081.9128021.9670121.4628442.4661332.3472652.0313871.4768331.883079...-2.593007-2.564579-2.787299-2.8171550.128265-2.358720-0.709526-1.876886-1.428454-3.140597
21.8176550.3126262.0136511.8705171.4387842.3329172.4267462.0790061.2642831.939135...-3.187908-2.566549-3.341771-3.206621-0.724311-2.446694-1.133453-2.153231-1.589570-2.702218
31.7625590.5739611.8528051.9205851.4560882.4374702.6792422.0990671.3112641.902507...-2.045972-2.466571-3.093191-3.204751-3.220443-2.381405-1.060397-1.521510-1.892220-2.902676
41.7258240.4724881.9079571.9540451.4620332.3947342.3896261.9284281.3342181.790217...-2.035124-2.679132-3.821553-3.372584-1.139438-2.372234-0.895417-1.900813-2.196233-3.063793
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5 rows × 120 columns

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" ], "text/plain": [ " a a_std a_subj.3 a_subj.4 a_subj.5 a_subj.6 a_subj.8 \\\n", "0 1.663258 0.379335 1.999766 1.964781 1.501228 2.558870 2.134354 \n", "1 1.623170 0.359708 1.912802 1.967012 1.462844 2.466133 2.347265 \n", "2 1.817655 0.312626 2.013651 1.870517 1.438784 2.332917 2.426746 \n", "3 1.762559 0.573961 1.852805 1.920585 1.456088 2.437470 2.679242 \n", "4 1.725824 0.472488 1.907957 1.954045 1.462033 2.394734 2.389626 \n", "\n", " a_subj.12 a_subj.17 a_subj.18 ... alpha_subj.39 alpha_subj.42 \\\n", "0 1.808065 1.428145 1.904139 ... -2.569240 -2.348125 \n", "1 2.031387 1.476833 1.883079 ... -2.593007 -2.564579 \n", "2 2.079006 1.264283 1.939135 ... -3.187908 -2.566549 \n", "3 2.099067 1.311264 1.902507 ... -2.045972 -2.466571 \n", "4 1.928428 1.334218 1.790217 ... -2.035124 -2.679132 \n", "\n", " alpha_subj.50 alpha_subj.52 alpha_subj.56 alpha_subj.59 alpha_subj.63 \\\n", "0 -2.279293 -3.002542 -2.038603 -2.255088 -0.153830 \n", "1 -2.787299 -2.817155 0.128265 -2.358720 -0.709526 \n", "2 -3.341771 -3.206621 -0.724311 -2.446694 -1.133453 \n", "3 -3.093191 -3.204751 -3.220443 -2.381405 -1.060397 \n", "4 -3.821553 -3.372584 -1.139438 -2.372234 -0.895417 \n", "\n", " alpha_subj.71 alpha_subj.75 alpha_subj.80 \n", "0 -1.809325 -1.738580 -2.323516 \n", "1 -1.876886 -1.428454 -3.140597 \n", "2 -2.153231 -1.589570 -2.702218 \n", "3 -1.521510 -1.892220 -2.902676 \n", "4 -1.900813 -2.196233 -3.063793 \n", "\n", "[5 rows x 120 columns]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "traces = m.get_traces()\n", "traces.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### simulating data\n", "__Now that we have the traces the next step is to simulate data using the estimated parameters. The RLDDM includes a function to simulate data. Here's an example of how to use the simulation-function for RLDDM. This example explains how to generate data with binary outcomes. See [here](#11.-Probabilistic-binary-outcomes-vs.-normally-distributed-outcomes) for an example on simulating data with normally distributed outcomes. Inputs to function:
\n", "a__ = decision threshold
\n", "**t** = non-decision time
\n", "__alpha__ = learning rate
\n", "__pos_alpha__ = defaults to 0. if given it defines the learning rate for positive prediction errors. alpha then becomes the learning rate_ for negative prediction errors.
\n", "__scaler__ = the scaling factor that is multiplied with the difference in q-values to calculate trial-by-trial drift rate
\n", "__p_upper__ = the probability of reward for the option represented by the upper boundary. The current version thus only works for outcomes that are either 1 or 0
\n", "__p_lower__ = the probability of reward for the option represented by the lower boundary.
\n", "__subjs__ = number of subjects to simulate data for.
\n", "__split_by__ = define the condition which makes it easier to append data from different conditions.
\n", "__size__ = number of trials per subject.
" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " q_up q_low sim_drift response rt feedback subj_idx split_by \\\n", "0 0.5000 0.50000 0.00000 1.0 0.770 1.0 0 0 \n", "1 0.6000 0.50000 0.20000 0.0 0.403 0.0 0 0 \n", "2 0.6000 0.40000 0.40000 0.0 0.612 0.0 0 0 \n", "3 0.6000 0.32000 0.56000 0.0 0.404 1.0 0 0 \n", "4 0.6000 0.45600 0.28800 1.0 0.564 1.0 0 0 \n", "5 0.6800 0.45600 0.44800 1.0 0.416 1.0 0 0 \n", "6 0.7440 0.45600 0.57600 0.0 0.430 0.0 0 0 \n", "7 0.7440 0.36480 0.75840 0.0 0.409 0.0 0 0 \n", "8 0.7440 0.29184 0.90432 1.0 0.361 1.0 0 0 \n", "9 0.7952 0.29184 1.00672 1.0 0.537 0.0 0 0 \n", "\n", " trial \n", "0 1 \n", "1 2 \n", "2 3 \n", "3 4 \n", "4 5 \n", "5 6 \n", "6 7 \n", "7 8 \n", "8 9 \n", "9 10 " ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hddm.generate.gen_rand_rlddm_data(\n", " a=1,\n", " t=0.3,\n", " alpha=0.2,\n", " scaler=2,\n", " p_upper=0.8,\n", " p_lower=0.2,\n", " subjs=1,\n", " split_by=0,\n", " size=10,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__How to interpret columns in the resulting dataframe__
\n", "__q_up__ = expected reward for option represented by upper boundary
\n", "__q_low__ = expected reward for option represented by lower boundary
\n", "__sim_drift__ = the drift rate for each trial calculated as: (q_up-q_low)*scaler
\n", "__response__ = simulated choice
\n", "__rt__ = simulated response time
\n", "__feedback__ = observed feedback for chosen option
\n", "__subj_idx__ = subject id (starts at 0)
\n", "__split_by__ = condition as integer
\n", "__trial__ = current trial (starts at 1)
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulate data with estimated parameter values and compare to observed data\n", "Now that we know how to extract traces and simulate data we can combine this to create a dataset similar to our observed data. This process is currently not automated but the following is an example code using the dataset we analyzed above." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 50/50 [31:09<00:00, 37.39s/it]\n", "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/pandas/core/frame.py:7138: FutureWarning: Sorting because non-concatenation axis is not aligned. A future version\n", "of pandas will change to not sort by default.\n", "\n", "To accept the future behavior, pass 'sort=False'.\n", "\n", "To retain the current behavior and silence the warning, pass 'sort=True'.\n", "\n", " sort=sort,\n" ] } ], "source": [ "from tqdm import tqdm # progress tracker\n", "\n", "# create empty dataframe to store simulated data\n", "sim_data = pd.DataFrame()\n", "# create a column samp to be used to identify the simulated data sets\n", "data[\"samp\"] = 0\n", "# load traces\n", "traces = m.get_traces()\n", "# decide how many times to repeat simulation process. repeating this multiple times is generally recommended,\n", "# as it better captures the uncertainty in the posterior distribution, but will also take some time\n", "for i in tqdm(range(1, 51)):\n", " # randomly select a row in the traces to use for extracting parameter values\n", " sample = np.random.randint(0, traces.shape[0] - 1)\n", " # loop through all subjects in observed data\n", " for s in data.subj_idx.unique():\n", " # get number of trials for each condition.\n", " size0 = len(\n", " data[(data[\"subj_idx\"] == s) & (data[\"split_by\"] == 0)].trial.unique()\n", " )\n", " size1 = len(\n", " data[(data[\"subj_idx\"] == s) & (data[\"split_by\"] == 1)].trial.unique()\n", " )\n", " size2 = len(\n", " data[(data[\"subj_idx\"] == s) & (data[\"split_by\"] == 2)].trial.unique()\n", " )\n", " # set parameter values for simulation\n", " a = traces.loc[sample, \"a_subj.\" + str(s)]\n", " t = traces.loc[sample, \"t_subj.\" + str(s)]\n", " scaler = traces.loc[sample, \"v_subj.\" + str(s)]\n", " alphaInv = traces.loc[sample, \"alpha_subj.\" + str(s)]\n", " # take inverse logit of estimated alpha\n", " alpha = np.exp(alphaInv) / (1 + np.exp(alphaInv))\n", " # simulate data for each condition changing only values of size, p_upper, p_lower and split_by between conditions.\n", " sim_data0 = hddm.generate.gen_rand_rlddm_data(\n", " a=a,\n", " t=t,\n", " scaler=scaler,\n", " alpha=alpha,\n", " size=size0,\n", " p_upper=0.8,\n", " p_lower=0.2,\n", " split_by=0,\n", " )\n", " sim_data1 = hddm.generate.gen_rand_rlddm_data(\n", " a=a,\n", " t=t,\n", " scaler=scaler,\n", " alpha=alpha,\n", " size=size1,\n", " p_upper=0.7,\n", " p_lower=0.3,\n", " split_by=1,\n", " )\n", " sim_data2 = hddm.generate.gen_rand_rlddm_data(\n", " a=a,\n", " t=t,\n", " scaler=scaler,\n", " alpha=alpha,\n", " size=size2,\n", " p_upper=0.6,\n", " p_lower=0.4,\n", " split_by=2,\n", " )\n", " # append the conditions\n", " sim_data0 = sim_data0.append([sim_data1, sim_data2], ignore_index=True)\n", " # assign subj_idx\n", " sim_data0[\"subj_idx\"] = s\n", " # identify that these are simulated data\n", " sim_data0[\"type\"] = \"simulated\"\n", " # identify the simulated data\n", " sim_data0[\"samp\"] = i\n", " # append data from each subject\n", " sim_data = sim_data.append(sim_data0, ignore_index=True)\n", "# combine observed and simulated data\n", "ppc_data = data[\n", " [\"subj_idx\", \"response\", \"split_by\", \"rt\", \"trial\", \"feedback\", \"samp\"]\n", "].copy()\n", "ppc_data[\"type\"] = \"observed\"\n", "ppc_sdata = sim_data[\n", " [\"subj_idx\", \"response\", \"split_by\", \"rt\", \"trial\", \"feedback\", \"type\", \"samp\"]\n", "].copy()\n", "ppc_data = ppc_data.append(ppc_sdata)\n", "ppc_data.to_csv(\"ppc_data_tutorial.csv\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting\n", "Now that we have a dataframe with both observed and simulated data we can plot to see whether the simulated data are able to capture observed choice and reaction times. To capture the uncertainty in the simulated data we want to identify how much choice and reaction differs across the simulated data sets. A good measure of this is to calculate the highest posterior density/highest density interval for summary scores of the generated data. Below we calculate highest posterior density with an alpha set to 0.1, which means that we are describing the range of the 90% most likely values." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# for practical reasons we only look at the first 40 trials for each subject in a given condition\n", "plot_ppc_data = ppc_data[ppc_data.trial < 41].copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Choice" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# bin trials to for smoother estimate of response proportion across learning\n", "plot_ppc_data[\"bin_trial\"] = pd.cut(\n", " plot_ppc_data.trial, 11, labels=np.linspace(0, 10, 11)\n", ").astype(\"int64\")\n", "# calculate means for each sample\n", "sums = (\n", " plot_ppc_data.groupby([\"bin_trial\", \"split_by\", \"samp\", \"type\"])\n", " .mean()\n", " .reset_index()\n", ")\n", "# calculate the overall mean response across samples\n", "ppc_sim = sums.groupby([\"bin_trial\", \"split_by\", \"type\"]).mean().reset_index()\n", "# initiate columns that will have the upper and lower bound of the hpd\n", "ppc_sim[\"upper_hpd\"] = 0\n", "ppc_sim[\"lower_hpd\"] = 0\n", "for i in range(0, ppc_sim.shape[0]):\n", " # calculate the hpd/hdi of the predicted mean responses across bin_trials\n", " hdi = pymc.utils.hpd(\n", " sums.response[\n", " (sums[\"bin_trial\"] == ppc_sim.bin_trial[i])\n", " & (sums[\"split_by\"] == ppc_sim.split_by[i])\n", " & (sums[\"type\"] == ppc_sim.type[i])\n", " ],\n", " alpha=0.1,\n", " )\n", " ppc_sim.loc[i, \"upper_hpd\"] = hdi[1]\n", " ppc_sim.loc[i, \"lower_hpd\"] = hdi[0]\n", "# calculate error term as the distance from upper bound to mean\n", "ppc_sim[\"up_err\"] = ppc_sim[\"upper_hpd\"] - ppc_sim[\"response\"]\n", "ppc_sim[\"low_err\"] = ppc_sim[\"response\"] - ppc_sim[\"lower_hpd\"]\n", "ppc_sim[\"model\"] = \"RLDDM_single_learning\"\n", "ppc_sim.to_csv(\"ppc_choicedata_tutorial.csv\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plotting evolution of choice proportion for best option across learning for observed and simulated data.\n", "fig, axs = plt.subplots(figsize=(15, 5), nrows=1, ncols=3, sharex=True, sharey=True)\n", "for i in range(0, 3):\n", " ax = axs[i]\n", " d = ppc_sim[(ppc_sim.split_by == i) & (ppc_sim.type == \"simulated\")]\n", " ax.errorbar(\n", " d.bin_trial,\n", " d.response,\n", " yerr=[d.low_err, d.up_err],\n", " label=\"simulated\",\n", " color=\"orange\",\n", " )\n", " d = ppc_sim[(ppc_sim.split_by == i) & (ppc_sim.type == \"observed\")]\n", " ax.plot(d.bin_trial, d.response, linewidth=3, label=\"observed\")\n", " ax.set_title(\"split_by = %i\" % i, fontsize=20)\n", " ax.set_ylabel(\"mean response\")\n", " ax.set_xlabel(\"trial\")\n", "plt.legend()\n", "fig.savefig(\"PPCchoice.pdf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ The plots display the rate of choosing the best option (response = 1) across learning and condition. The model generates data (orange) that closely follows the observed behavior (blue), with the exception of overpredicting performance early in the most difficult condition (split_by=2). Uncertainty in the generated data is captured by the 90% highest density interval of the means across simulated datasets." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### RT" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# set reaction time to be negative for lower bound responses (response=0)\n", "plot_ppc_data[\"reaction time\"] = np.where(\n", " plot_ppc_data[\"response\"] == 1, plot_ppc_data.rt, 0 - plot_ppc_data.rt\n", ")\n", "# plotting evolution of choice proportion for best option across learning for observed and simulated data. We use bins of trials because plotting individual trials would be very noisy.\n", "g = sns.FacetGrid(plot_ppc_data, col=\"split_by\", hue=\"type\")\n", "g.map(sns.kdeplot, \"reaction time\", bw=0.05).set_ylabels(\"Density\")\n", "g.add_legend()\n", "g.savefig(\"PPCrt_dist.pdf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ Density plots of observed and predicted reaction time across conditions. RTs for lower boundary choices (i.e. worst option choices) are set to be negative (0-RT) to be able to separate upper and lower bound responses." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 8. Parameter recovery\n", "To validate the RLDDM we ran a parameter recovery study to test to which degree the model can recover the parameter values used to simulate data. To do this we generated 81 synthetic datasets with 50 subjects performing 70 trials each. The 81 datasets were simulated using all combinations of three plausible parameter values for decision threshold, non-decision time, learning rate and the scaling parameter onto drift rate." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Estimated values split by simulated vales \n", "We can plot simulated together with the estimated values to test the models ability to recover parameters, and to see if there are any values that are more difficult to recover than others." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "param_recovery = hddm.load_csv(\"recovery_sim_est_rlddm.csv\")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "g = sns.catplot(x=\"a\", y=\"e_a\", data=param_recovery, palette=\"Set1\")\n", "g.set_axis_labels(\"Simulated threshold\", \"Estimated threshold\")\n", "plt.title(\"Decision threshold\")\n", "g.savefig(\"Threshold_recovery.pdf\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "g = sns.catplot(x=\"alpha\", y=\"e_alphaT\", data=param_recovery, palette=\"Set1\")\n", "g.set_axis_labels(\"Simulated alpha\", \"Estimated alpha\")\n", "plt.title(\"Learning rate\")\n", "g.savefig(\"Alpha_recovery.pdf\")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "g = sns.catplot(x=\"scaler\", y=\"e_v\", data=param_recovery, palette=\"Set1\")\n", "g.set_axis_labels(\"Simulated scaling\", \"Estimated scaling\")\n", "plt.title(\"Scaling drift rate\")\n", "g.savefig(\"Scaler_recovery.pdf\")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "g = sns.catplot(x=\"t\", y=\"e_t\", data=param_recovery, palette=\"Set1\")\n", "g.set_axis_labels(\"Simulated NDT\", \"Estimated NDT\")\n", "plt.title(\"Non-decision time\")\n", "g.savefig(\"NDT_recovery.pdf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ The correlation between simulated and estimated parameter values are high, which means recovery is good. There is somewhat worse recovery for the learning rate and scaling parameter, which makes sense given that they to a degree can explain the same variance (see below)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 9. Separate learning rates for positive and negative prediction errors\n", "Several studies have reported differences in updating of expected rewards following positive and negative prediction errors (e.g. to capture differences between D1 and D2 receptor function). To model asymmetric updating rates for positive and negative prediction errors you can set dual=True in the model. This will produce two estimated learning rates; alpha and pos_alpha, of which alpha then becomes the estimated learning rate for negative prediction errors." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1500 of 1500 complete in 191.8 sec mean std 2.5q 25q 50q 75q 97.5q mc err\n", "a 1.82633 0.0783844 1.67345 1.77512 1.82217 1.87568 1.9965 0.00295453\n", "a_std 0.410321 0.0674141 0.306268 0.364889 0.401635 0.450473 0.564012 0.00270026\n", "a_subj.3 2.17033 0.115262 1.95375 2.09614 2.16539 2.24181 2.4254 0.00548993\n", "a_subj.4 1.89897 0.0579531 1.79347 1.85788 1.89605 1.9393 2.01907 0.00277538\n", "a_subj.5 1.61113 0.082302 1.45691 1.55496 1.6061 1.66577 1.77686 0.00381988\n", "a_subj.6 2.43691 0.101778 2.2429 2.36614 2.43347 2.50934 2.62957 0.00431407\n", "a_subj.8 2.59792 0.144576 2.34397 2.499 2.59463 2.6892 2.92774 0.00726993\n", "a_subj.12 2.06029 0.0799839 1.91855 2.00623 2.05359 2.11537 2.22798 0.00361356\n", "a_subj.17 1.54875 0.100305 1.35735 1.4863 1.54396 1.61257 1.7653 0.0054701\n", "a_subj.18 1.96151 0.122684 1.73789 1.87154 1.96274 2.04099 2.20959 0.00660454\n", "a_subj.19 2.27976 0.108427 2.0839 2.20405 2.27507 2.34357 2.53175 0.00537144\n", "a_subj.20 1.757 0.0906857 1.57908 1.70036 1.75772 1.81488 1.94106 0.00475469\n", "a_subj.22 1.40039 0.0492764 1.3153 1.36434 1.39905 1.43278 1.50517 0.00258208\n", "a_subj.23 1.95365 0.099402 1.77161 1.88705 1.9462 2.01884 2.15432 0.00426745\n", "a_subj.24 1.68369 0.0978159 1.52375 1.61216 1.67733 1.74375 1.90374 0.0047914\n", "a_subj.26 2.23402 0.0798351 2.08258 2.17478 2.23315 2.28916 2.38973 0.00366055\n", "a_subj.33 1.57319 0.0707342 1.44946 1.52259 1.56998 1.62238 1.71148 0.00299887\n", "a_subj.34 1.84701 0.0917249 1.67547 1.78566 1.84312 1.90886 2.02471 0.00440968\n", "a_subj.35 1.85894 0.0913431 1.68528 1.79731 1.86485 1.92094 2.03658 0.00379595\n", "a_subj.36 1.32917 0.0657278 1.20156 1.28636 1.32837 1.36863 1.46548 0.00299776\n", "a_subj.39 1.58224 0.0571074 1.48113 1.54243 1.57864 1.61699 1.70573 0.00272969\n", "a_subj.42 1.85728 0.0910291 1.68796 1.79839 1.85521 1.91323 2.04917 0.00501664\n", "a_subj.50 1.57842 0.0593103 1.47311 1.53575 1.57541 1.61701 1.70146 0.00315943\n", "a_subj.52 2.29593 0.104286 2.10454 2.22466 2.2942 2.35891 2.51119 0.00558897\n", "a_subj.56 1.47579 0.0489699 1.38374 1.44303 1.47525 1.50802 1.57638 0.00203615\n", "a_subj.59 1.41423 0.0838355 1.25798 1.3551 1.41686 1.47376 1.58004 0.00482176\n", "a_subj.63 1.98606 0.105647 1.79733 1.91055 1.97667 2.05667 2.21026 0.00515372\n", "a_subj.71 1.37492 0.0416381 1.29913 1.34635 1.37351 1.40374 1.45383 0.00193188\n", "a_subj.75 1.04381 0.0424396 0.963908 1.01437 1.04343 1.07007 1.1287 0.00215329\n", "a_subj.80 2.20728 0.0949151 2.0232 2.14268 2.20566 2.27035 2.40363 0.00343694\n", "v 3.66306 0.432881 2.80263 3.36481 3.67691 3.94446 4.53137 0.0179453\n", "v_std 2.16051 0.347665 1.59481 1.92183 2.11674 2.36274 2.98355 0.0183554\n", "v_subj.3 4.05807 0.584568 3.05244 3.6736 4.01923 4.43582 5.33269 0.0211871\n", "v_subj.4 0.93029 0.149903 0.668345 0.825182 0.921209 1.0267 1.25353 0.00749321\n", "v_subj.5 3.10298 0.410738 2.35251 2.81169 3.11047 3.37633 3.94636 0.0155184\n", "v_subj.6 4.37315 1.51163 2.02799 3.22323 4.26505 5.3469 7.84778 0.115543\n", "v_subj.8 2.10131 0.291351 1.55417 1.89635 2.10656 2.2918 2.68403 0.0102131\n", "v_subj.12 3.30997 0.27209 2.79541 3.12027 3.30714 3.51814 3.8123 0.00979875\n", "v_subj.17 4.77054 0.654596 3.61074 4.32052 4.71783 5.15654 6.20269 0.0344306\n", "v_subj.18 5.60507 0.914642 4.05708 4.95358 5.50239 6.14505 7.59222 0.0525223\n", "v_subj.19 6.79667 0.531696 5.84821 6.41609 6.78247 7.15707 7.86691 0.0256374\n", "v_subj.20 5.06997 0.751946 3.80191 4.51495 4.99583 5.54233 6.76405 0.0508111\n", "v_subj.22 7.74229 0.554212 6.66899 7.38473 7.72739 8.10784 8.88024 0.0226088\n", "v_subj.23 1.65386 0.326853 1.05624 1.43946 1.64962 1.84378 2.35648 0.0147053\n", "v_subj.24 4.9282 0.716149 3.58835 4.46113 4.91188 5.38852 6.49608 0.0250187\n", "v_subj.26 0.554038 0.159071 0.317581 0.447227 0.538658 0.634405 0.891184 0.00738979\n", "v_subj.33 1.99289 1.5563 -0.0917214 0.979077 1.61419 2.62817 6.07535 0.0882033\n", "v_subj.34 2.67755 0.743488 1.48379 2.19459 2.61205 3.01255 4.4251 0.0343761\n", "v_subj.35 2.11529 0.418304 1.36401 1.83141 2.11525 2.37647 3.02335 0.0155763\n", "v_subj.36 3.05497 1.16149 1.3637 2.20115 2.92209 3.67182 5.81363 0.0818964\n", "v_subj.39 3.14393 1.01339 1.10825 2.48491 3.15981 3.77087 5.16142 0.0524964\n", "v_subj.42 3.77651 0.368915 3.04478 3.53231 3.76981 4.00682 4.52743 0.0147786\n", "v_subj.50 5.24503 0.428943 4.40896 4.98034 5.23241 5.51769 6.08356 0.0187869\n", "v_subj.52 3.50906 0.403754 2.7295 3.22648 3.50778 3.78182 4.30659 0.0166646\n", "v_subj.56 1.31785 0.983386 0.326642 0.749425 1.12579 1.50799 4.35855 0.0773137\n", "v_subj.59 8.77448 1.21852 6.60213 7.93194 8.66269 9.53013 11.496 0.0836054\n", "v_subj.63 2.23256 0.338367 1.62264 1.98565 2.22861 2.45895 2.91907 0.0129532\n", "v_subj.71 3.79805 0.327746 3.15876 3.57293 3.79705 4.01523 4.43214 0.0119512\n", "v_subj.75 4.97022 0.447116 4.13118 4.65435 4.96064 5.27331 5.81798 0.0167969\n", "v_subj.80 2.12787 0.971202 0.846467 1.41587 1.88945 2.589 4.74006 0.0674847\n", "t 0.428604 0.044101 0.353065 0.396248 0.425327 0.457601 0.525839 0.00218668\n", "t_std 0.234719 0.0433914 0.164275 0.202987 0.229153 0.262883 0.333006 0.00233875\n", "t_subj.3 1.06301 0.0242696 1.00809 1.04874 1.06433 1.08068 1.1041 0.00106904\n", "t_subj.4 0.528016 0.0181393 0.489347 0.516371 0.529422 0.541093 0.560231 0.00082801\n", "t_subj.5 0.521158 0.0134301 0.491967 0.512937 0.522271 0.530159 0.546061 0.000601849\n", "t_subj.6 0.393535 0.031081 0.332742 0.371696 0.394455 0.414439 0.452232 0.00136618\n", "t_subj.8 0.645487 0.046208 0.548299 0.616548 0.650334 0.677856 0.726427 0.00214894\n", "t_subj.12 0.400791 0.0142303 0.371308 0.392207 0.401693 0.411239 0.427577 0.000644815\n", "t_subj.17 0.49389 0.0160554 0.46639 0.484731 0.493694 0.501411 0.544435 0.000937253\n", "t_subj.18 0.437714 0.024544 0.381513 0.423714 0.44101 0.455774 0.47827 0.00118883\n", "t_subj.19 0.408016 0.0164337 0.370056 0.398919 0.408948 0.419889 0.434781 0.000790638\n", "t_subj.20 0.514031 0.0132655 0.485829 0.505598 0.515052 0.522825 0.537302 0.000720981\n", "t_subj.22 0.325148 0.00616492 0.311362 0.321639 0.32567 0.329167 0.33589 0.000321026\n", "t_subj.23 0.48052 0.0231803 0.427495 0.466163 0.481808 0.497029 0.519889 0.000967584\n", "t_subj.24 0.453918 0.0141035 0.424352 0.444748 0.454901 0.463995 0.478395 0.000737631\n", "t_subj.26 0.443235 0.0347691 0.371609 0.418196 0.448561 0.469806 0.499016 0.00161531\n", "t_subj.33 0.19289 0.0161553 0.163663 0.181761 0.191735 0.203197 0.227826 0.000650216\n", "t_subj.34 0.341855 0.0304285 0.275627 0.325666 0.343243 0.358593 0.411272 0.00135037\n", "t_subj.35 0.323872 0.0241005 0.275647 0.309315 0.323585 0.33817 0.371883 0.000954075\n", "t_subj.36 0.448459 0.0124212 0.418934 0.441661 0.450627 0.457502 0.467191 0.000592505\n", "t_subj.39 0.619463 0.0115061 0.593632 0.612822 0.620391 0.627636 0.639284 0.000519217\n", "t_subj.42 0.38756 0.0160417 0.353556 0.377524 0.388542 0.398015 0.41576 0.000875023\n", "t_subj.50 0.520546 0.0172755 0.482822 0.510046 0.524875 0.533784 0.54486 0.000986671\n", "t_subj.52 0.507414 0.0233708 0.455127 0.493376 0.509698 0.523056 0.550123 0.00114481\n", "t_subj.56 0.116896 0.011136 0.0907044 0.110031 0.117803 0.124486 0.136371 0.000481042\n", "t_subj.59 0.367431 0.0187911 0.33152 0.355044 0.368221 0.377594 0.408335 0.0012207\n", "t_subj.63 0.470553 0.0214161 0.423916 0.457205 0.471826 0.484268 0.508559 0.000923657\n", "t_subj.71 0.156369 0.00617554 0.144548 0.152355 0.156495 0.16055 0.168231 0.000277601\n", "t_subj.75 0.257439 0.00715949 0.240442 0.254217 0.25945 0.262397 0.266872 0.000398967\n", "t_subj.80 0.0402711 0.0164579 0.0108391 0.0281409 0.0399061 0.05107 0.0745975 0.000551567\n", "alpha -4.78158 0.898295 -6.75036 -5.29889 -4.70286 -4.15113 -3.26662 0.0521409\n", "alpha_std 3.73289 1.06489 2.1336 2.99392 3.52618 4.33781 6.30655 0.0831372\n", "alpha_subj.3 -7.05258 2.50159 -13.1917 -8.32234 -6.52649 -5.18567 -3.96031 0.124696\n", "alpha_subj.4 0.426963 1.11459 -0.944668 -0.230608 0.250964 0.808489 2.92571 0.0541998\n", "alpha_subj.5 -6.91208 2.70265 -14.1073 -8.38504 -6.20221 -4.93885 -3.59952 0.135496\n", "alpha_subj.6 -7.8891 2.5143 -13.9728 -9.12846 -7.44981 -6.13023 -4.37058 0.130676\n", "alpha_subj.8 -2.72998 0.994146 -4.36336 -2.88409 -2.58956 -2.32116 -1.87981 0.0494222\n", "alpha_subj.12 -8.06559 2.69454 -14.9298 -9.48851 -7.54959 -6.1212 -4.43814 0.144476\n", "alpha_subj.17 -6.60254 2.96442 -14.1679 -7.99399 -5.9254 -4.45374 -2.86398 0.158913\n", "alpha_subj.18 -6.07482 2.68135 -13.1222 -7.13457 -5.22561 -4.18235 -3.13356 0.136542\n", "alpha_subj.19 -3.92613 0.285418 -4.64184 -4.07693 -3.89082 -3.72418 -3.45543 0.0101292\n", "alpha_subj.20 -3.50676 0.516536 -4.68548 -3.79117 -3.49135 -3.17623 -2.56029 0.0285649\n", "alpha_subj.22 -9.2371 2.06096 -13.833 -10.3452 -8.81722 -7.74703 -6.32702 0.0931406\n", "alpha_subj.23 -4.31396 2.64539 -11.1804 -5.27713 -3.51936 -2.54338 -1.35995 0.136443\n", "alpha_subj.24 -1.55403 0.339719 -2.20419 -1.76759 -1.541 -1.34377 -0.857031 0.0101265\n", "alpha_subj.26 2.3789 2.61685 -0.93534 1.21823 2.23266 3.52459 7.21916 0.174057\n", "alpha_subj.33 -5.213 4.0036 -13.9326 -7.62198 -5.00017 -2.53649 1.71173 0.184676\n", "alpha_subj.34 -5.53051 2.76871 -12.5893 -6.87964 -4.73883 -3.58031 -2.30041 0.141782\n", "alpha_subj.35 -6.38576 3.13276 -14.0043 -7.9697 -5.83136 -4.1429 -2.09597 0.146654\n", "alpha_subj.36 -1.79782 2.08031 -8.22385 -2.23937 -1.26025 -0.71467 0.467845 0.114779\n", "alpha_subj.39 -5.44883 3.89269 -13.4074 -7.56688 -5.38491 -3.9298 2.91726 0.306435\n", "alpha_subj.42 -5.04472 2.33085 -11.3301 -5.17445 -4.30883 -3.8231 -3.27149 0.132284\n", "alpha_subj.50 -8.08276 2.46464 -14.181 -9.24783 -7.53744 -6.25954 -4.971 0.126942\n", "alpha_subj.52 -3.82568 0.752882 -5.04399 -4.00424 -3.71483 -3.47445 -3.12819 0.0371159\n", "alpha_subj.56 -5.44862 3.41322 -13.5386 -7.36032 -4.89808 -3.09328 -0.30246 0.18234\n", "alpha_subj.59 -3.44337 0.488828 -4.45293 -3.66276 -3.39263 -3.14521 -2.72879 0.0247054\n", "alpha_subj.63 -6.90635 2.82143 -13.3582 -8.47125 -6.38258 -4.78577 -3.09205 0.119088\n", "alpha_subj.71 -8.45649 2.63845 -15.2664 -9.69164 -7.92428 -6.56692 -5.18337 0.138627\n", "alpha_subj.75 -7.48641 2.73537 -14.0637 -8.70384 -6.88744 -5.49349 -3.90752 0.134957\n", "alpha_subj.80 -5.58797 3.14239 -13.527 -7.20775 -4.67266 -3.26561 -1.78386 0.173523\n", "pos_alpha -0.895935 0.339247 -1.54324 -1.11526 -0.909311 -0.674954 -0.160331 0.0180688\n", "pos_alpha_std 1.45037 0.313221 0.953754 1.23314 1.42053 1.6352 2.12882 0.0199312\n", "pos_alpha_subj.3 -0.739699 0.608631 -1.89483 -1.10114 -0.748097 -0.389608 0.549614 0.0252056\n", "pos_alpha_subj.4 0.501533 0.880432 -0.924143 -0.107416 0.414538 1.00973 2.65335 0.0414756\n", "pos_alpha_subj.5 0.343363 0.823 -0.927268 -0.207032 0.20958 0.824743 2.30273 0.0313956\n", "pos_alpha_subj.6 -3.57442 0.488523 -4.37085 -3.91692 -3.64022 -3.26027 -2.50903 0.0374053\n", "pos_alpha_subj.8 0.449901 0.783986 -0.861785 -0.0643286 0.390448 0.894634 2.34131 0.0299916\n", "pos_alpha_subj.12 0.402094 0.39053 -0.288765 0.152244 0.383246 0.612424 1.26959 0.0123956\n", "pos_alpha_subj.17 -1.03625 0.728279 -2.28107 -1.47547 -1.09125 -0.741944 0.869704 0.0404402\n", "pos_alpha_subj.18 -1.95641 0.360458 -2.68864 -2.18083 -1.95473 -1.71167 -1.28532 0.016443\n", "pos_alpha_subj.19 -1.67176 0.221585 -2.15427 -1.80486 -1.65991 -1.51665 -1.28461 0.00811834\n", "pos_alpha_subj.20 -2.1366 0.329426 -2.81754 -2.35952 -2.11302 -1.90687 -1.52181 0.0211777\n", "pos_alpha_subj.22 -1.52007 0.125742 -1.78746 -1.59736 -1.51762 -1.43222 -1.28096 0.00531203\n", "pos_alpha_subj.23 0.0529679 1.00904 -1.98607 -0.507643 0.00876946 0.620401 2.14044 0.0414709\n", "pos_alpha_subj.24 -1.34182 0.309116 -1.93674 -1.55106 -1.33801 -1.14381 -0.73865 0.0112161\n", "pos_alpha_subj.26 0.0893943 0.970026 -1.58794 -0.484993 -0.01053 0.619843 2.44391 0.0521637\n", "pos_alpha_subj.33 -2.24994 1.2274 -4.38351 -3.11987 -2.30015 -1.48697 0.414115 0.0705896\n", "pos_alpha_subj.34 -0.704432 1.05906 -2.88173 -1.33173 -0.550406 0.0335074 1.12025 0.0505609\n", "pos_alpha_subj.35 -0.739327 0.629917 -2.36813 -1.05908 -0.672616 -0.324667 0.371349 0.0253342\n", "pos_alpha_subj.36 -1.56092 1.5089 -3.96919 -2.71246 -1.819 -0.56486 1.61682 0.107652\n", "pos_alpha_subj.39 0.185904 1.77976 -4.36138 -0.191296 0.508164 1.23217 2.711 0.155413\n", "pos_alpha_subj.42 -0.603407 0.253323 -1.11295 -0.760958 -0.598121 -0.435014 -0.103201 0.00879472\n", "pos_alpha_subj.50 -1.37377 0.262776 -1.90291 -1.5452 -1.37773 -1.20679 -0.872482 0.00894318\n", "pos_alpha_subj.52 0.0772404 0.36944 -0.635686 -0.178077 0.0697795 0.304712 0.851372 0.011965\n", "pos_alpha_subj.56 -1.51497 1.97144 -5.41133 -2.83118 -1.37977 -0.24753 2.36421 0.128189\n", "pos_alpha_subj.59 -2.10815 0.279822 -2.66591 -2.2839 -2.11047 -1.92215 -1.56226 0.0176411\n", "pos_alpha_subj.63 1.29028 0.873231 -0.164205 0.68542 1.18272 1.8369 3.14479 0.0375058\n", "pos_alpha_subj.71 -1.70335 0.21584 -2.1278 -1.83928 -1.70867 -1.56798 -1.24251 0.00688448\n", "pos_alpha_subj.75 -0.502723 0.297922 -1.07137 -0.704546 -0.508679 -0.304064 0.0950879 0.0107456\n", "pos_alpha_subj.80 -1.61934 1.26102 -3.49573 -2.52006 -1.82877 -0.950009 1.36519 0.0865199\n", "DIC: 9186.303547\n", "deviance: 9083.079636\n", "pD: 103.223911\n" ] } ], "source": [ "# set dual=True to model separate learning rates for positive and negative prediction errors.\n", "m_dual = hddm.HDDMrl(data, dual=True)\n", "# set sample and burn-in\n", "m_dual.sample(1500, burn=500, dbname=\"traces.db\", db=\"pickle\")\n", "# print stats to get an overview of posterior distribution of estimated parameters\n", "m_dual.print_stats()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting a\n", "Plotting a_std\n", "Plotting v\n", "Plotting v_std\n", "Plotting t\n", "Plotting t_std\n", "Plotting alpha\n", "Plotting alpha_std\n", "Plotting pos_alpha\n", "Plotting pos_alpha_std\n" ] }, { "data": { "image/png": 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", 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", 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", 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", 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", 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", 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", 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", 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m_dual.plot_posteriors()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ There's more autocorrelation in this model compared to the one with a single learning rate. First, let's test whether it converges." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1501 of 1500 complete in 190.3 sec" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/kabuki/analyze.py:148: FutureWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#ix-indexer-is-deprecated\n", " samples[i,:] = model.nodes_db.ix[name, 'node'].trace()\n", "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/pandas/core/indexing.py:961: FutureWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#ix-indexer-is-deprecated\n", " return getattr(section, self.name)[new_key]\n" ] }, { "data": { "text/plain": [ "1.014473317822456" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# estimate convergence\n", "models = []\n", "for i in range(3):\n", " m = hddm.HDDMrl(data=data, dual=True)\n", " m.sample(1500, burn=500, dbname=\"traces.db\", db=\"pickle\")\n", " models.append(m)\n", "\n", "# get max gelman-statistic value. shouldn't be higher than 1.1\n", "np.max(list(gelman_rubin(models).values()))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'a': 1.000125615977507,\n", " 'a_std': 1.000293824141093,\n", " 'a_subj.3': 0.9995587497036598,\n", " 'a_subj.4': 0.9995663288755461,\n", " 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0.9996110136879114,\n", " 'v': 1.0001729942650572,\n", " 'v_std': 1.0007050210999138,\n", " 'v_subj.3': 1.00089570652398,\n", " 'v_subj.4': 1.0024232190875875,\n", " 'v_subj.5': 1.000031484184937,\n", " 'v_subj.6': 1.000246348222359,\n", " 'v_subj.8': 0.9998188908969313,\n", " 'v_subj.12': 1.0002972651898785,\n", " 'v_subj.17': 1.0053152485244228,\n", " 'v_subj.18': 1.0035678009993956,\n", " 'v_subj.19': 1.0007676729224628,\n", " 'v_subj.20': 1.0138533173993516,\n", " 'v_subj.22': 1.0001920445137138,\n", " 'v_subj.23': 1.0001643719289113,\n", " 'v_subj.24': 1.0003166942511994,\n", " 'v_subj.26': 1.012037804264053,\n", " 'v_subj.33': 1.008822207930599,\n", " 'v_subj.34': 1.001232834456808,\n", " 'v_subj.35': 1.0025938840649362,\n", " 'v_subj.36': 1.000069726432657,\n", " 'v_subj.39': 0.9998994943313908,\n", " 'v_subj.42': 0.9996973440151383,\n", " 'v_subj.50': 1.001143117423489,\n", " 'v_subj.52': 1.0002753174216377,\n", " 'v_subj.56': 0.9999573151498712,\n", " 'v_subj.59': 1.0104883818941242,\n", " 'v_subj.63': 1.00189569663142,\n", " 'v_subj.71': 0.9995411611089315,\n", " 'v_subj.75': 0.9995588725849562,\n", " 'v_subj.80': 1.0136685141891846,\n", " 't': 1.0004114901695569,\n", " 't_std': 1.0007933788432173,\n", " 't_subj.3': 0.9996171871762616,\n", " 't_subj.4': 1.0001300490519083,\n", " 't_subj.5': 1.0028746028937425,\n", " 't_subj.6': 0.9997742835195009,\n", " 't_subj.8': 1.001323887846369,\n", " 't_subj.12': 0.9996809520992331,\n", " 't_subj.17': 1.004979239177261,\n", " 't_subj.18': 1.001443056131703,\n", " 't_subj.19': 1.001276450267826,\n", " 't_subj.20': 1.0017222614492018,\n", " 't_subj.22': 1.0014446464850104,\n", " 't_subj.23': 1.0001854182394025,\n", " 't_subj.24': 1.0021360259836916,\n", " 't_subj.26': 0.9998130722506594,\n", " 't_subj.33': 1.0041403512850227,\n", " 't_subj.34': 1.000662368674309,\n", " 't_subj.35': 0.9997816559126319,\n", " 't_subj.36': 1.000389429370145,\n", " 't_subj.39': 1.0004989245164477,\n", " 't_subj.42': 1.003660719681535,\n", " 't_subj.50': 0.9996523807207587,\n", " 't_subj.52': 1.0001385838960493,\n", " 't_subj.56': 1.000436582928671,\n", " 't_subj.59': 1.0097109617328988,\n", " 't_subj.63': 1.0023205899326733,\n", " 't_subj.71': 1.0008294977192809,\n", " 't_subj.75': 0.9996035166755558,\n", " 't_subj.80': 0.9999656516467259,\n", " 'alpha': 1.0008526268630051,\n", " 'alpha_std': 1.0053219932778943,\n", " 'alpha_subj.3': 0.999501514240184,\n", " 'alpha_subj.4': 1.0073664853377151,\n", " 'alpha_subj.5': 1.0002667649822319,\n", " 'alpha_subj.6': 1.0010858103024662,\n", " 'alpha_subj.8': 1.0020288089122238,\n", " 'alpha_subj.12': 0.9999329084180971,\n", " 'alpha_subj.17': 1.002245596723081,\n", " 'alpha_subj.18': 1.001122573161122,\n", " 'alpha_subj.19': 0.9995903836225754,\n", " 'alpha_subj.20': 1.0073888183284407,\n", " 'alpha_subj.22': 1.0069862383738115,\n", " 'alpha_subj.23': 1.001612686745671,\n", " 'alpha_subj.24': 0.9999712749048636,\n", " 'alpha_subj.26': 1.01440875592447,\n", " 'alpha_subj.33': 1.00670721072335,\n", " 'alpha_subj.34': 0.9995131597377838,\n", " 'alpha_subj.35': 1.001250997993986,\n", " 'alpha_subj.36': 1.002683758400843,\n", " 'alpha_subj.39': 1.004739288526853,\n", " 'alpha_subj.42': 1.0008115954315624,\n", " 'alpha_subj.50': 1.0010984441307196,\n", " 'alpha_subj.52': 1.0025159489951863,\n", " 'alpha_subj.56': 1.00067808806373,\n", " 'alpha_subj.59': 1.0002771782983166,\n", " 'alpha_subj.63': 1.0011017204118449,\n", " 'alpha_subj.71': 1.0006215161259082,\n", " 'alpha_subj.75': 1.0026779077970407,\n", " 'alpha_subj.80': 1.0002319983391794,\n", " 'pos_alpha': 1.00257297410585,\n", " 'pos_alpha_std': 1.001617498309611,\n", " 'pos_alpha_subj.3': 0.9995865019882652,\n", " 'pos_alpha_subj.4': 1.0062437837747629,\n", " 'pos_alpha_subj.5': 1.0034825487152508,\n", " 'pos_alpha_subj.6': 1.0005618815584847,\n", " 'pos_alpha_subj.8': 1.0001291334737075,\n", " 'pos_alpha_subj.12': 1.0001556376957397,\n", " 'pos_alpha_subj.17': 1.0001016511811331,\n", " 'pos_alpha_subj.18': 1.0024023231634642,\n", " 'pos_alpha_subj.19': 1.000007119184469,\n", " 'pos_alpha_subj.20': 1.0119860515816212,\n", " 'pos_alpha_subj.22': 0.9998692465833887,\n", " 'pos_alpha_subj.23': 1.0005347917836798,\n", " 'pos_alpha_subj.24': 1.000873682844545,\n", " 'pos_alpha_subj.26': 1.014473317822456,\n", " 'pos_alpha_subj.33': 1.0057921277935418,\n", " 'pos_alpha_subj.34': 1.0011151145301689,\n", " 'pos_alpha_subj.35': 1.0016919400556858,\n", " 'pos_alpha_subj.36': 1.0003570992127564,\n", " 'pos_alpha_subj.39': 1.0056374569990023,\n", " 'pos_alpha_subj.42': 0.999898151417554,\n", " 'pos_alpha_subj.50': 1.000865449897151,\n", " 'pos_alpha_subj.52': 1.0000890958138444,\n", " 'pos_alpha_subj.56': 0.9999626321602774,\n", " 'pos_alpha_subj.59': 1.0053232725751076,\n", " 'pos_alpha_subj.63': 1.0005550289110994,\n", " 'pos_alpha_subj.71': 0.9996504478249013,\n", " 'pos_alpha_subj.75': 0.999846688983168,\n", " 'pos_alpha_subj.80': 1.0140403525074555}" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gelman_rubin(models)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convergence looks good, i.e. no parameters with gelman-rubin statistic > 1.1." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# Create a new model that has all traces concatenated\n", "# of individual models.\n", "m_dual = kabuki.utils.concat_models(models)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then we can have a look at the joint posterior distribution:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "alpha, t, a, v, pos_alpha = m_dual.nodes_db.node[[\"alpha\", \"t\", \"a\", \"v\", \"pos_alpha\"]]\n", "samples = {\n", " \"alpha\": alpha.trace(),\n", " \"pos_alpha\": pos_alpha.trace(),\n", " \"t\": t.trace(),\n", " \"a\": a.trace(),\n", " \"v\": v.trace(),\n", "}\n", "samp = pd.DataFrame(data=samples)\n", "\n", "\n", "def corrfunc(x, y, **kws):\n", " r, _ = stats.pearsonr(x, y)\n", " ax = plt.gca()\n", " ax.annotate(\"r = {:.2f}\".format(r), xy=(0.1, 0.9), xycoords=ax.transAxes)\n", "\n", "\n", "g = sns.PairGrid(samp, palette=[\"red\"])\n", "g.map_upper(plt.scatter, s=10)\n", "g.map_diag(sns.distplot, kde=False)\n", "g.map_lower(sns.kdeplot, cmap=\"Blues_d\")\n", "g.map_lower(corrfunc)\n", "g.savefig(\"matrix_plot.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ The correlation between parameters is generally low. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Posterior predictive check\n", "The DIC for this dual learning rate model is better than for the single learning rate model. We can therefore check whether we can detect this improvement in the ability to recreate choice and RT patterns:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 50/50 [31:12<00:00, 37.44s/it]\n", "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/pandas/core/frame.py:7138: FutureWarning: Sorting because non-concatenation axis is not aligned. A future version\n", "of pandas will change to not sort by default.\n", "\n", "To accept the future behavior, pass 'sort=False'.\n", "\n", "To retain the current behavior and silence the warning, pass 'sort=True'.\n", "\n", " sort=sort,\n" ] } ], "source": [ "# create empty dataframe to store simulated data\n", "sim_data = pd.DataFrame()\n", "# create a column samp to be used to identify the simulated data sets\n", "data[\"samp\"] = 0\n", "# get traces, note here we extract traces from m_dual\n", "traces = m_dual.get_traces()\n", "# decide how many times to repeat simulation process. repeating this multiple times is generally recommended as it better captures the uncertainty in the posterior distribution, but will also take some time\n", "for i in tqdm(range(1, 51)):\n", " # randomly select a row in the traces to use for extracting parameter values\n", " sample = np.random.randint(0, traces.shape[0] - 1)\n", " # loop through all subjects in observed data\n", " for s in data.subj_idx.unique():\n", " # get number of trials for each condition.\n", " size0 = len(\n", " data[(data[\"subj_idx\"] == s) & (data[\"split_by\"] == 0)].trial.unique()\n", " )\n", " size1 = len(\n", " data[(data[\"subj_idx\"] == s) & (data[\"split_by\"] == 1)].trial.unique()\n", " )\n", " size2 = len(\n", " data[(data[\"subj_idx\"] == s) & (data[\"split_by\"] == 2)].trial.unique()\n", " )\n", " # set parameter values for simulation\n", " a = traces.loc[sample, \"a_subj.\" + str(s)]\n", " t = traces.loc[sample, \"t_subj.\" + str(s)]\n", " scaler = traces.loc[sample, \"v_subj.\" + str(s)]\n", " # when generating data with two learning rates pos_alpha represents learning rate for positive prediction errors and alpha for negative prediction errors\n", " alphaInv = traces.loc[sample, \"alpha_subj.\" + str(s)]\n", " pos_alphaInv = traces.loc[sample, \"pos_alpha_subj.\" + str(s)]\n", " # take inverse logit of estimated alpha and pos_alpha\n", " alpha = np.exp(alphaInv) / (1 + np.exp(alphaInv))\n", " pos_alpha = np.exp(pos_alphaInv) / (1 + np.exp(pos_alphaInv))\n", " # simulate data for each condition changing only values of size, p_upper, p_lower and split_by between conditions.\n", " sim_data0 = hddm.generate.gen_rand_rlddm_data(\n", " a=a,\n", " t=t,\n", " scaler=scaler,\n", " alpha=alpha,\n", " pos_alpha=pos_alpha,\n", " size=size0,\n", " p_upper=0.8,\n", " p_lower=0.2,\n", " split_by=0,\n", " )\n", " sim_data1 = hddm.generate.gen_rand_rlddm_data(\n", " a=a,\n", " t=t,\n", " scaler=scaler,\n", " alpha=alpha,\n", " pos_alpha=pos_alpha,\n", " size=size1,\n", " p_upper=0.7,\n", " p_lower=0.3,\n", " split_by=1,\n", " )\n", " sim_data2 = hddm.generate.gen_rand_rlddm_data(\n", " a=a,\n", " t=t,\n", " scaler=scaler,\n", " alpha=alpha,\n", " pos_alpha=pos_alpha,\n", " size=size2,\n", " p_upper=0.6,\n", " p_lower=0.4,\n", " split_by=2,\n", " )\n", " # append the conditions\n", " sim_data0 = sim_data0.append([sim_data1, sim_data2], ignore_index=True)\n", " # assign subj_idx\n", " sim_data0[\"subj_idx\"] = s\n", " # identify that these are simulated data\n", " sim_data0[\"type\"] = \"simulated\"\n", " # identify the simulated data\n", " sim_data0[\"samp\"] = i\n", " # append data from each subject\n", " sim_data = sim_data.append(sim_data0, ignore_index=True)\n", "# combine observed and simulated data\n", "ppc_dual_data = data[\n", " [\"subj_idx\", \"response\", \"split_by\", \"rt\", \"trial\", \"feedback\", \"samp\"]\n", "].copy()\n", "ppc_dual_data[\"type\"] = \"observed\"\n", "ppc_dual_sdata = sim_data[\n", " [\"subj_idx\", \"response\", \"split_by\", \"rt\", \"trial\", \"feedback\", \"type\", \"samp\"]\n", "].copy()\n", "ppc_dual_data = ppc_dual_data.append(ppc_dual_sdata)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "# for practical reasons we only look at the first 40 trials for each subject in a given condition\n", "plot_ppc_dual_data = ppc_dual_data[ppc_dual_data.trial < 41].copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Choice" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "# bin trials to for smoother estimate of response proportion across learning\n", "plot_ppc_dual_data[\"bin_trial\"] = pd.cut(\n", " plot_ppc_dual_data.trial, 11, labels=np.linspace(0, 10, 11)\n", ").astype(\"int64\")\n", "# calculate means for each sample\n", "sums = (\n", " plot_ppc_dual_data.groupby([\"bin_trial\", \"split_by\", \"samp\", \"type\"])\n", " .mean()\n", " .reset_index()\n", ")\n", "# calculate the overall mean response across samples\n", "ppc_dual_sim = sums.groupby([\"bin_trial\", \"split_by\", \"type\"]).mean().reset_index()\n", "# initiate columns that will have the upper and lower bound of the hpd\n", "ppc_dual_sim[\"upper_hpd\"] = 0\n", "ppc_dual_sim[\"lower_hpd\"] = 0\n", "for i in range(0, ppc_dual_sim.shape[0]):\n", " # calculate the hpd/hdi of the predicted mean responses across bin_trials\n", " hdi = pymc.utils.hpd(\n", " sums.response[\n", " (sums[\"bin_trial\"] == ppc_dual_sim.bin_trial[i])\n", " & (sums[\"split_by\"] == ppc_dual_sim.split_by[i])\n", " & (sums[\"type\"] == ppc_dual_sim.type[i])\n", " ],\n", " alpha=0.1,\n", " )\n", " ppc_dual_sim.loc[i, \"upper_hpd\"] = hdi[1]\n", " ppc_dual_sim.loc[i, \"lower_hpd\"] = hdi[0]\n", "# calculate error term as the distance from upper bound to mean\n", "ppc_dual_sim[\"up_err\"] = ppc_dual_sim[\"upper_hpd\"] - ppc_dual_sim[\"response\"]\n", "ppc_dual_sim[\"low_err\"] = ppc_dual_sim[\"response\"] - ppc_dual_sim[\"lower_hpd\"]\n", "ppc_dual_sim[\"model\"] = \"RLDDM_dual_learning\"" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plotting evolution of choice proportion for best option across learning for observed and simulated data.\n", "fig, axs = plt.subplots(figsize=(15, 5), nrows=1, ncols=3, sharex=True, sharey=True)\n", "for i in range(0, 3):\n", " ax = axs[i]\n", " d = ppc_dual_sim[(ppc_dual_sim.split_by == i) & (ppc_dual_sim.type == \"simulated\")]\n", " ax.errorbar(\n", " d.bin_trial,\n", " d.response,\n", " yerr=[d.low_err, d.up_err],\n", " label=\"simulated\",\n", " color=\"orange\",\n", " )\n", " d = ppc_sim[(ppc_dual_sim.split_by == i) & (ppc_dual_sim.type == \"observed\")]\n", " ax.plot(d.bin_trial, d.response, linewidth=3, label=\"observed\")\n", " ax.set_title(\"split_by = %i\" % i, fontsize=20)\n", " ax.set_ylabel(\"mean response\")\n", " ax.set_xlabel(\"trial\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ The plots display the rate of choosing the best option (response = 1) across learning and condition. The model generates data (orange) that closely follows the observed behavior (blue), with the exception of performance early in the most difficult condition (split_by=2)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PPC for single vs. dual learning rate\n", "To get a better sense of differences in ability to predict data between the single and dual learning rate model we can plot them together:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/ipykernel/__main__.py:7: SettingWithCopyWarning: \n", "A value is trying to be set on a copy of a slice from a DataFrame.\n", "Try using .loc[row_indexer,col_indexer] = value instead\n", "\n", "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plotting evolution of choice proportion for best option across learning for observed and simulated data. Compared for model with single and dual learning rate.\n", "fig, axs = plt.subplots(figsize=(15, 5), nrows=1, ncols=3, sharex=True, sharey=True)\n", "for i in range(0, 3):\n", " ax = axs[i]\n", " d_single = ppc_sim[(ppc_sim.split_by == i) & (ppc_sim.type == \"simulated\")]\n", " # slightly move bin_trial to avoid overlap in errorbars\n", " d_single[\"bin_trial\"] += 0.2\n", " ax.errorbar(\n", " d_single.bin_trial,\n", " d_single.response,\n", " yerr=[d_single.low_err, d_single.up_err],\n", " label=\"simulated_single\",\n", " color=\"orange\",\n", " )\n", " d_dual = ppc_dual_sim[\n", " (ppc_dual_sim.split_by == i) & (ppc_dual_sim.type == \"simulated\")\n", " ]\n", " ax.errorbar(\n", " d_dual.bin_trial,\n", " d_dual.response,\n", " yerr=[d_dual.low_err, d_dual.up_err],\n", " label=\"simulated_dual\",\n", " color=\"green\",\n", " )\n", " d = ppc_sim[(ppc_dual_sim.split_by == i) & (ppc_dual_sim.type == \"observed\")]\n", " ax.plot(d.bin_trial, d.response, linewidth=3, label=\"observed\")\n", " ax.set_title(\"split_by = %i\" % i, fontsize=20)\n", " ax.set_ylabel(\"mean response\")\n", " ax.set_xlabel(\"trial\")\n", "plt.xlim(-0.5, 10.5)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ The predictions from the model with two learning rates are not very different from the model with single learning rate, and a similar overprediction of performance early on for the most difficult condition (split_by =2)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### RT" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_ppc_data[\"type_compare\"] = np.where(\n", " plot_ppc_data[\"type\"] == \"observed\",\n", " plot_ppc_data[\"type\"],\n", " \"simulated_single_learning\",\n", ")\n", "plot_ppc_dual_data[\"type_compare\"] = np.where(\n", " plot_ppc_dual_data[\"type\"] == \"observed\",\n", " plot_ppc_dual_data[\"type\"],\n", " \"simulated_dual_learning\",\n", ")\n", "dual_vs_single_pcc = plot_ppc_data.append(plot_ppc_dual_data)\n", "dual_vs_single_pcc[\"reaction time\"] = np.where(\n", " dual_vs_single_pcc[\"response\"] == 1,\n", " dual_vs_single_pcc.rt,\n", " 0 - dual_vs_single_pcc.rt,\n", ")\n", "# plotting evolution of choice proportion for best option across learning for observed and simulated data. We use bins of trials because plotting individual trials would be very noisy.\n", "g = sns.FacetGrid(dual_vs_single_pcc, col=\"split_by\", hue=\"type_compare\", height=5)\n", "g.map(sns.kdeplot, \"reaction time\", bw=0.01).set_ylabels(\"Density\")\n", "g.add_legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ Again there's not a big difference between the two models. Both models slightly overpredict performance for the medium (split_by =1) and hard (split_by = 2) conditions, as identified by lower densities for the negative (worst option choices) in the simulated compared to observed data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transform alpha and pos_alpha\n", "To interpret the parameter estimates for alpha and pos_alpha you have to transform them with the inverse logit where learning rate for negative prediction error is alpha and learning rate for positive prediction errors is pos_alpha. For this dataset the learning rate is estimated to be higher for positive than negative prediction errors." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot alpha for positive and negative learning rate\n", "traces = m_dual.get_traces()\n", "neg_alpha = np.exp(traces[\"alpha\"]) / (1 + np.exp(traces[\"alpha\"]))\n", "pos_alpha = np.exp(traces[\"pos_alpha\"]) / (1 + np.exp(traces[\"pos_alpha\"]))\n", "sns.kdeplot(\n", " neg_alpha, color=\"r\", label=\"neg_alpha: \" + str(np.round(np.mean(neg_alpha), 3))\n", ")\n", "sns.kdeplot(\n", " pos_alpha, color=\"b\", label=\"pos_alpha: \" + str(np.round(np.mean(pos_alpha), 3))\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ The positive learning rate is estimated to be stronger than the negative learning rate. Sticky choice, tendencies to repeat choices, could be driving some of this difference. The current model does not allow to test for this, however, but it could be tested in the future if we implement a regression version of RLDDM (similar to HDDMRegressor)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulate data with learning rates for positive and negative prediction errors\n", "Here's how you would simulate data with a learning rate for positive and negative predictions of 0.2 and 0.4, respectively:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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q_upq_lowsim_driftresponsertfeedbacksubj_idxsplit_bytrial
00.500000.50000.000001.00.5831.0001
10.700000.50000.400000.00.4790.0002
20.700000.40000.600001.00.4501.0003
30.820000.40000.840001.00.4031.0004
40.892000.40000.984000.00.7320.0005
50.892000.32001.144000.00.3960.0006
60.892000.25601.272001.00.9640.0007
70.713600.25600.915201.00.4931.0008
80.828160.25601.144320.00.3600.0009
90.828160.20481.246721.00.4831.00010
\n", "
" ], "text/plain": [ " q_up q_low sim_drift response rt feedback subj_idx split_by \\\n", "0 0.50000 0.5000 0.00000 1.0 0.583 1.0 0 0 \n", "1 0.70000 0.5000 0.40000 0.0 0.479 0.0 0 0 \n", "2 0.70000 0.4000 0.60000 1.0 0.450 1.0 0 0 \n", "3 0.82000 0.4000 0.84000 1.0 0.403 1.0 0 0 \n", "4 0.89200 0.4000 0.98400 0.0 0.732 0.0 0 0 \n", "5 0.89200 0.3200 1.14400 0.0 0.396 0.0 0 0 \n", "6 0.89200 0.2560 1.27200 1.0 0.964 0.0 0 0 \n", "7 0.71360 0.2560 0.91520 1.0 0.493 1.0 0 0 \n", "8 0.82816 0.2560 1.14432 0.0 0.360 0.0 0 0 \n", "9 0.82816 0.2048 1.24672 1.0 0.483 1.0 0 0 \n", "\n", " trial \n", "0 1 \n", "1 2 \n", "2 3 \n", "3 4 \n", "4 5 \n", "5 6 \n", "6 7 \n", "7 8 \n", "8 9 \n", "9 10 " ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hddm.generate.gen_rand_rlddm_data(\n", " a=1, t=0.3, alpha=0.2, pos_alpha=0.4, scaler=2, p_upper=0.8, p_lower=0.2, size=10\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 10. depends_on vs. split_by\n", "HDDMrl can be used to estimate separate parameters just as in the standard HDDM. But in RL you typically estimate the same learning rates and inverse temperature across conditions. That's one reason why you have to specify condition in the split_by-column instead of depends_on. (The other is that if you use depends_on the expected rewards will not get updated properly). But depends_on is still useful, for example if you want to estimate the effect of group on parameters. As an example we can simulate a dataset with two groups that have different decision thresholds:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1500 of 1500 complete in 380.4 sec" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data1 = hddm.generate.gen_rand_rlddm_data(\n", " a=1, t=0.3, alpha=0.4, scaler=2, p_upper=0.8, p_lower=0.2, subjs=50, size=50\n", ")\n", "data1[\"group\"] = \"group1\"\n", "data2 = hddm.generate.gen_rand_rlddm_data(\n", " a=2, t=0.3, alpha=0.4, scaler=2, p_upper=0.8, p_lower=0.2, subjs=50, size=50\n", ")\n", "data2[\"group\"] = \"group2\"\n", "group_data = data1.append(data2)\n", "group_data[\"q_init\"] = 0.5\n", "m = hddm.HDDMrl(\n", " group_data, depends_on={\"v\": \"group\", \"a\": \"group\", \"t\": \"group\", \"alpha\": \"group\"}\n", ")\n", "m.sample(1500, burn=500, dbname=\"traces.db\", db=\"pickle\")" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Posterior of decision threshold group means')" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# the plot shows that the model was able to recover the different decision threshold across groups.\n", "a_group1, a_group2 = m.nodes_db.node[[\"a(group1)\", \"a(group2)\"]]\n", "hddm.analyze.plot_posterior_nodes([a_group1, a_group2])\n", "plt.xlabel(\"decision threshold\")\n", "plt.ylabel(\"Posterior probability\")\n", "plt.xlim(0.7, 2.3)\n", "plt.title(\"Posterior of decision threshold group means\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 11. Probabilistic binary outcomes vs. normally distributed outcomes\n", "The examples so far have all been using a task structure where the outcomes are binary and probabilistic. But the model can also be applied to other types of outcomes. Here we show how you can generate and model data with normally distributed outcomes. As you will see you don't have to do any modifications to the model estimation process, but you have to change the input for generating data. Also note that the scaling parameter (v) will scale negatively with the values of the observed outcomes because the combined drift rate needs to be plausible." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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q_upq_lowsim_driftresponsertfeedbacksubj_idxsplit_bytrial
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" ], "text/plain": [ " q_up q_low sim_drift response rt feedback subj_idx split_by \\\n", "0 0.50 0.500000 0.000000 0.0 1.175 1.0 0 0 \n", "1 0.50 0.600000 -0.200000 0.0 1.056 1.0 0 0 \n", "2 0.50 0.680000 -0.360000 0.0 0.977 1.0 0 0 \n", "3 0.50 0.744000 -0.488000 1.0 0.918 1.0 0 0 \n", "4 0.60 0.744000 -0.288000 0.0 1.109 1.0 0 0 \n", "5 0.60 0.795200 -0.390400 0.0 1.761 1.0 0 0 \n", "6 0.60 0.836160 -0.472320 0.0 1.634 1.0 0 0 \n", "7 0.60 0.868928 -0.537856 0.0 3.159 1.0 0 0 \n", "8 0.60 0.895142 -0.590285 1.0 1.070 0.0 0 0 \n", "9 0.48 0.895142 -0.830285 0.0 1.455 1.0 0 0 \n", "\n", " trial \n", "0 1 \n", "1 2 \n", "2 3 \n", "3 4 \n", "4 5 \n", "5 6 \n", "6 7 \n", "7 8 \n", "8 9 \n", "9 10 " ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# This is how we generated data so far, defining the probability of reward (1) for actions/stimuli associated with upper and lower boundary.\n", "# binary probabilistic outcomes\n", "hddm.generate.gen_rand_rlddm_data(\n", " a=2, t=0.3, scaler=2, alpha=0.2, size=10, p_upper=0.2, p_lower=0.8\n", ")" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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q_upq_lowsim_driftresponsertfeedbacksubj_idxsplit_bytrial
00.0000000.0000000.0000000.01.2342.756728001
10.0000000.551346-0.1102690.02.0571.489547002
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" ], "text/plain": [ " q_up q_low sim_drift response rt feedback subj_idx \\\n", "0 0.000000 0.000000 0.000000 0.0 1.234 2.756728 0 \n", "1 0.000000 0.551346 -0.110269 0.0 2.057 1.489547 0 \n", "2 0.000000 0.738986 -0.147797 0.0 1.530 3.807553 0 \n", "3 0.000000 1.352699 -0.270540 0.0 2.645 1.417042 0 \n", "4 0.000000 1.365568 -0.273114 0.0 3.384 3.729184 0 \n", "5 0.000000 1.838291 -0.367658 1.0 1.082 8.566567 0 \n", "6 1.713313 1.838291 -0.024996 0.0 0.975 -0.502434 0 \n", "7 1.713313 1.370146 0.068633 0.0 1.712 0.961576 0 \n", "8 1.713313 1.288432 0.084976 0.0 0.578 1.455894 0 \n", "9 1.713313 1.321924 0.078278 1.0 0.489 7.676751 0 \n", "\n", " split_by trial \n", "0 0 1 \n", "1 0 2 \n", "2 0 3 \n", "3 0 4 \n", "4 0 5 \n", "5 0 6 \n", "6 0 7 \n", "7 0 8 \n", "8 0 9 \n", "9 0 10 " ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# If instead the outcomes are drawn from a normal distribution you will have to set binary_outcome to False and instead of p_upper and p_upper define the mean (mu) and sd\n", "# of the normal distribution for both alternatives. Note that we change the initial q-value to 0, and that we reduce the scaling factor.\n", "# normally distributed outcomes\n", "hddm.generate.gen_rand_rlddm_data(\n", " a=2,\n", " t=0.3,\n", " scaler=0.2,\n", " alpha=0.2,\n", " size=10,\n", " mu_upper=8,\n", " mu_lower=2,\n", " sd_upper=1,\n", " sd_lower=1,\n", " binary_outcome=False,\n", " q_init=0,\n", ")" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "# We can generate a dataset where 30 subjects perform 50 trials each. Note that we set the scaler to be lower than for the binary outcomes as otherwise\n", "# the resulting drift will be unrealistically high.\n", "norm_data = hddm.generate.gen_rand_rlddm_data(\n", " a=2,\n", " t=0.3,\n", " scaler=0.2,\n", " alpha=0.2,\n", " size=50,\n", " subjs=30,\n", " mu_upper=8,\n", " mu_lower=2,\n", " sd_upper=2,\n", " sd_lower=2,\n", " binary_outcome=False,\n", " q_init=0,\n", ")" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1500 of 1500 complete in 129.7 sec mean std 2.5q 25q 50q 75q 97.5q mc err\n", "a 2.0468 0.0536019 1.95032 2.00942 2.04105 2.08009 2.16837 0.0035593\n", "a_std 0.175061 0.0486853 0.093863 0.141152 0.169017 0.206255 0.283744 0.0035927\n", "a_subj.0 1.81258 0.113701 1.57347 1.74054 1.80911 1.89145 2.02223 0.00616892\n", "a_subj.1 1.995 0.115287 1.78409 1.91249 1.99215 2.07173 2.24415 0.00505574\n", "a_subj.2 2.10046 0.158471 1.81563 1.98915 2.0907 2.20196 2.44419 0.00836604\n", "a_subj.3 2.04535 0.154776 1.75446 1.94297 2.04519 2.14033 2.37878 0.0081907\n", "a_subj.4 2.11056 0.140498 1.86301 2.01461 2.09877 2.19815 2.41751 0.0069293\n", "a_subj.5 2.07355 0.112491 1.83959 1.9997 2.07454 2.14548 2.30438 0.00537188\n", "a_subj.6 2.26291 0.129638 2.02938 2.17024 2.26048 2.34975 2.53188 0.00680741\n", "a_subj.7 2.03049 0.107781 1.83493 1.95659 2.0282 2.09774 2.25601 0.00468564\n", "a_subj.8 2.08715 0.168081 1.79863 1.97309 2.07667 2.19388 2.44131 0.00960949\n", "a_subj.9 2.25886 0.146065 2.0005 2.15871 2.24743 2.34864 2.57902 0.00743169\n", "a_subj.10 2.06622 0.172669 1.73475 1.95747 2.0611 2.16824 2.42969 0.011364\n", "a_subj.11 2.02115 0.113176 1.81395 1.94275 2.01863 2.09408 2.2478 0.0048003\n", "a_subj.12 2.09186 0.177718 1.80659 1.96642 2.07669 2.20243 2.48253 0.0114258\n", "a_subj.13 1.93363 0.106509 1.73294 1.86603 1.93069 2.00203 2.15991 0.00461012\n", "a_subj.14 2.09264 0.151015 1.82527 1.98991 2.07868 2.18107 2.42324 0.00775361\n", "a_subj.15 1.87356 0.109896 1.66094 1.80327 1.87273 1.94391 2.09162 0.0054369\n", "a_subj.16 2.12601 0.15017 1.85307 2.02465 2.11056 2.22132 2.45531 0.00844835\n", "a_subj.17 2.08892 0.166451 1.79811 1.97397 2.08142 2.19379 2.43685 0.0105241\n", "a_subj.18 2.08784 0.111594 1.88463 2.01006 2.08313 2.16163 2.3176 0.00468967\n", "a_subj.19 2.09387 0.115955 1.8831 2.01124 2.09024 2.16957 2.32622 0.00545067\n", "a_subj.20 1.85169 0.110635 1.63657 1.77125 1.85063 1.93756 2.05856 0.00529842\n", "a_subj.21 2.08885 0.120506 1.86102 2.00784 2.08681 2.16516 2.33498 0.00558749\n", "a_subj.22 2.21513 0.145894 1.94684 2.11897 2.20254 2.31543 2.52187 0.00751394\n", "a_subj.23 1.91819 0.106314 1.7208 1.84408 1.91472 1.99031 2.13149 0.00428757\n", "a_subj.24 2.05808 0.140921 1.80389 1.96141 2.05945 2.14923 2.34153 0.00665896\n", "a_subj.25 2.09411 0.140064 1.83013 2.00687 2.08471 2.18133 2.38827 0.00716\n", "a_subj.26 1.95671 0.112607 1.73882 1.88039 1.9549 2.02937 2.18597 0.00529529\n", "a_subj.27 2.04572 0.114384 1.84768 1.9677 2.03161 2.11602 2.29497 0.00551299\n", "a_subj.28 2.10263 0.18054 1.756 1.98557 2.09147 2.21854 2.48967 0.0128191\n", "a_subj.29 1.83407 0.106468 1.62342 1.76493 1.83587 1.90038 2.04123 0.00488123\n", "v 0.207127 0.0454048 0.112879 0.178176 0.206344 0.237117 0.296185 0.00151393\n", "v_std 0.238834 0.0348918 0.18069 0.214688 0.234089 0.25966 0.320961 0.00138856\n", "v_subj.0 0.132183 0.0367945 0.064444 0.107929 0.132303 0.154313 0.20176 0.00169382\n", "v_subj.1 0.126948 0.0321378 0.0657139 0.105817 0.126667 0.147447 0.18956 0.00114552\n", "v_subj.2 0.34339 0.0404521 0.264445 0.317253 0.345803 0.368798 0.418265 0.00192124\n", "v_subj.3 0.446724 0.0469455 0.355037 0.416342 0.445804 0.475459 0.542584 0.00230013\n", "v_subj.4 0.277331 0.0422832 0.200936 0.247921 0.275922 0.303716 0.368423 0.00138794\n", "v_subj.5 0.0617608 0.0305126 -0.000781331 0.0409208 0.0621936 0.0820674 0.120859 0.000800699\n", "v_subj.6 -0.0993192 0.0364459 -0.174567 -0.122857 -0.0972494 -0.0748021 -0.0329812 0.00150237\n", "v_subj.7 0.00866781 0.0277908 -0.0475756 -0.0105093 0.00961383 0.0274172 0.0601009 0.000986111\n", "v_subj.8 0.407621 0.0474527 0.322054 0.375897 0.406726 0.437373 0.510173 0.00226811\n", "v_subj.9 0.148506 0.0274881 0.0965441 0.128953 0.148274 0.167524 0.201216 0.00105474\n", "v_subj.10 0.772346 0.0774504 0.631135 0.716998 0.770381 0.825135 0.932022 0.00432581\n", "v_subj.11 0.054916 0.0264027 -0.00264642 0.0383848 0.055866 0.0726346 0.103939 0.000857554\n", "v_subj.12 0.408833 0.0480559 0.312514 0.37718 0.409052 0.439918 0.507147 0.00257692\n", "v_subj.13 -0.0348383 0.0338409 -0.102274 -0.057942 -0.034102 -0.0119408 0.0326936 0.00103958\n", "v_subj.14 0.46 0.0512153 0.361429 0.425462 0.458361 0.495125 0.564835 0.00244512\n", "v_subj.15 0.180676 0.042378 0.0992386 0.151502 0.180093 0.209055 0.263642 0.00142222\n", "v_subj.16 0.287606 0.0354319 0.218997 0.263248 0.28645 0.3105 0.361431 0.00140243\n", "v_subj.17 0.525615 0.0520659 0.427884 0.490877 0.52542 0.560167 0.634517 0.00279298\n", "v_subj.18 0.0673117 0.0362668 0.000331506 0.0439006 0.065341 0.091114 0.13919 0.00124706\n", "v_subj.19 -0.0674596 0.0325468 -0.13112 -0.0888958 -0.0670646 -0.0455515 -0.00349396 0.000935541\n", "v_subj.20 -0.0574618 0.0334986 -0.124658 -0.0811746 -0.0562744 -0.0355873 0.00390093 0.00109521\n", "v_subj.21 -0.155706 0.0389281 -0.232985 -0.179231 -0.154729 -0.130489 -0.0823682 0.00144419\n", "v_subj.22 0.214576 0.0307167 0.15448 0.193983 0.213752 0.235424 0.276665 0.00117752\n", "v_subj.23 -0.059833 0.0350666 -0.127045 -0.0841814 -0.0585854 -0.0360151 0.0125069 0.00100009\n", "v_subj.24 0.294033 0.0393772 0.221657 0.266539 0.293383 0.319545 0.375446 0.00142609\n", "v_subj.25 0.320994 0.0371789 0.24801 0.295882 0.321048 0.345002 0.394664 0.00143723\n", "v_subj.26 0.1368 0.0275293 0.0843643 0.118364 0.137 0.155313 0.19292 0.000896608\n", "v_subj.27 0.230475 0.0384305 0.153695 0.205086 0.229636 0.255347 0.305544 0.00118598\n", "v_subj.28 0.622399 0.0605948 0.508147 0.582157 0.62458 0.663201 0.743411 0.00353847\n", "v_subj.29 0.098454 0.038291 0.0264416 0.0736775 0.0973446 0.123845 0.175047 0.00142713\n", "t 0.311471 0.0104444 0.291845 0.304584 0.311864 0.31831 0.331985 0.00057063\n", "t_std 0.042176 0.0116282 0.0230015 0.0337356 0.0411485 0.0489576 0.0681012 0.000831829\n", "t_subj.0 0.271808 0.0239216 0.220909 0.25729 0.273849 0.288473 0.313118 0.00133733\n", "t_subj.1 0.289015 0.0247081 0.236068 0.272624 0.291766 0.306302 0.332074 0.0010677\n", "t_subj.2 0.350626 0.0248798 0.300709 0.333715 0.352454 0.368136 0.395632 0.00132099\n", "t_subj.3 0.329624 0.0170745 0.293019 0.318091 0.330933 0.342599 0.358027 0.000895687\n", "t_subj.4 0.331685 0.026309 0.277054 0.314582 0.333171 0.348932 0.379397 0.00120263\n", "t_subj.5 0.349288 0.03978 0.277275 0.321021 0.348027 0.376941 0.429878 0.00186623\n", "t_subj.6 0.334817 0.0369956 0.26592 0.310166 0.332504 0.359589 0.408947 0.00164187\n", "t_subj.7 0.341245 0.0358381 0.27566 0.316126 0.340378 0.365847 0.41457 0.00163764\n", "t_subj.8 0.302421 0.0182791 0.262137 0.291113 0.303516 0.315223 0.335409 0.000868647\n", "t_subj.9 0.329121 0.0329576 0.261678 0.306752 0.330614 0.351794 0.391865 0.0015737\n", "t_subj.10 0.322908 0.0132598 0.294351 0.314622 0.323466 0.332253 0.346472 0.000732046\n", "t_subj.11 0.283264 0.0286011 0.224698 0.264878 0.285333 0.303607 0.33846 0.00135181\n", "t_subj.12 0.282543 0.016975 0.246674 0.272828 0.283683 0.294837 0.312956 0.000856325\n", "t_subj.13 0.257427 0.035286 0.182476 0.23348 0.26271 0.28482 0.312892 0.00186308\n", "t_subj.14 0.303918 0.0197952 0.259962 0.292273 0.305284 0.317511 0.339093 0.000984599\n", "t_subj.15 0.28707 0.0227087 0.238497 0.273363 0.287988 0.302814 0.328318 0.000927244\n", "t_subj.16 0.333212 0.0260286 0.275854 0.316065 0.334785 0.35189 0.37949 0.00125709\n", "t_subj.17 0.320054 0.0162727 0.286625 0.30946 0.320825 0.331745 0.349036 0.000800775\n", "t_subj.18 0.297605 0.0293918 0.23606 0.277601 0.299307 0.318675 0.351861 0.00120238\n", "t_subj.19 0.375603 0.0453625 0.29227 0.34179 0.373644 0.406377 0.465834 0.0025604\n", "t_subj.20 0.276961 0.0239293 0.227329 0.261752 0.279118 0.293672 0.318241 0.00110301\n", "t_subj.21 0.286664 0.0262939 0.230242 0.270731 0.288214 0.30506 0.330705 0.00103736\n", "t_subj.22 0.329827 0.0301522 0.272618 0.310038 0.330652 0.350854 0.38564 0.00124213\n", "t_subj.23 0.280108 0.0251048 0.229878 0.26419 0.281617 0.297259 0.326177 0.00106376\n", "t_subj.24 0.336226 0.0262563 0.284603 0.318298 0.335823 0.355083 0.384809 0.00117475\n", "t_subj.25 0.327697 0.0250668 0.271635 0.312589 0.327731 0.344458 0.376696 0.00119949\n", "t_subj.26 0.24109 0.0222991 0.188981 0.228091 0.242995 0.256659 0.27776 0.00126328\n", "t_subj.27 0.294464 0.0265627 0.240024 0.277921 0.294651 0.313277 0.346172 0.00106998\n", "t_subj.28 0.343507 0.0148519 0.312393 0.334009 0.344396 0.354342 0.369543 0.000831933\n", "t_subj.29 0.300298 0.0239198 0.248752 0.285717 0.301413 0.317786 0.3427 0.00105455\n", "alpha -1.44914 0.115671 -1.69234 -1.52521 -1.45348 -1.37138 -1.21561 0.00945185\n", "alpha_std 0.200964 0.158712 0.0290696 0.095483 0.154491 0.250262 0.615164 0.0150051\n", "alpha_subj.0 -1.484 0.328065 -2.15223 -1.58673 -1.4551 -1.33083 -0.963143 0.0206994\n", "alpha_subj.1 -1.49184 0.293123 -2.19116 -1.5982 -1.46054 -1.34175 -0.97903 0.0153566\n", "alpha_subj.2 -1.40689 0.24871 -1.88173 -1.54268 -1.42506 -1.2883 -0.816268 0.0113676\n", "alpha_subj.3 -1.45178 0.204639 -1.87716 -1.56303 -1.45274 -1.33255 -1.04777 0.010443\n", "alpha_subj.4 -1.58624 0.262821 -2.26489 -1.69149 -1.53066 -1.41563 -1.21661 0.0188938\n", "alpha_subj.5 -1.4494 0.287225 -2.04193 -1.55648 -1.45409 -1.32699 -0.956172 0.0101776\n", "alpha_subj.6 -1.46865 0.275064 -2.1248 -1.59365 -1.45879 -1.32619 -0.932136 0.0143967\n", "alpha_subj.7 -1.44759 0.284702 -2.03823 -1.58353 -1.45685 -1.31121 -0.854635 0.0127353\n", "alpha_subj.8 -1.40073 0.217721 -1.7832 -1.51783 -1.42595 -1.29912 -0.805203 0.0110546\n", "alpha_subj.9 -1.45749 0.276126 -2.00804 -1.57036 -1.4507 -1.33385 -0.962471 0.0142888\n", "alpha_subj.10 -1.46191 0.19758 -1.83667 -1.58442 -1.46199 -1.3406 -1.07561 0.0101907\n", "alpha_subj.11 -1.40852 0.265999 -1.8973 -1.55127 -1.42526 -1.2891 -0.775706 0.0138842\n", "alpha_subj.12 -1.45683 0.194283 -1.87288 -1.56223 -1.45111 -1.34654 -1.08249 0.00982105\n", "alpha_subj.13 -1.45215 0.274524 -2.12609 -1.56785 -1.45046 -1.32527 -0.872875 0.0141906\n", "alpha_subj.14 -1.32056 0.247381 -1.68682 -1.47666 -1.36355 -1.21578 -0.669816 0.0169583\n", "alpha_subj.15 -1.5076 0.247053 -2.13849 -1.61248 -1.48256 -1.36286 -1.08032 0.0137718\n", "alpha_subj.16 -1.45571 0.229421 -1.9519 -1.57717 -1.46079 -1.33567 -0.944404 0.0093938\n", "alpha_subj.17 -1.35466 0.255454 -1.76349 -1.49684 -1.40117 -1.25804 -0.677636 0.0155708\n", "alpha_subj.18 -1.49004 0.297444 -2.12107 -1.60039 -1.46443 -1.34079 -0.974275 0.0167975\n", "alpha_subj.19 -1.43949 0.285234 -2.129 -1.56882 -1.43677 -1.30445 -0.870087 0.0144317\n", "alpha_subj.20 -1.46505 0.267245 -2.06976 -1.57809 -1.45624 -1.33421 -0.875432 0.0133098\n", "alpha_subj.21 -1.39249 0.262392 -1.85966 -1.52747 -1.42362 -1.27461 -0.828611 0.0155199\n", "alpha_subj.22 -1.47638 0.23897 -2.02443 -1.58855 -1.46515 -1.35555 -0.987678 0.0102749\n", "alpha_subj.23 -1.45153 0.25985 -2.01351 -1.58637 -1.45516 -1.31936 -0.887848 0.0128157\n", "alpha_subj.24 -1.50581 0.245688 -2.05445 -1.60868 -1.4752 -1.36868 -1.0773 0.0126809\n", "alpha_subj.25 -1.48933 0.253228 -2.10395 -1.59673 -1.47161 -1.34725 -1.00672 0.0134111\n", "alpha_subj.26 -1.41114 0.294241 -1.91771 -1.56868 -1.43884 -1.29592 -0.645555 0.0174492\n", "alpha_subj.27 -1.48966 0.249361 -2.11576 -1.58564 -1.46975 -1.35839 -1.0211 0.011644\n", "alpha_subj.28 -1.36908 0.197287 -1.684 -1.49582 -1.38804 -1.26639 -0.914559 0.0108378\n", "alpha_subj.29 -1.47392 0.263725 -2.07544 -1.58888 -1.46292 -1.3419 -0.950849 0.0120102\n", "DIC: 2319.090508\n", "deviance: 2254.222647\n", "pD: 64.867860\n" ] } ], "source": [ "# and then we can do estimation as usual\n", "# but first we need to define inital q-value\n", "norm_data[\"q_init\"] = 0\n", "m_norm = hddm.HDDMrl(norm_data)\n", "m_norm.sample(1500, burn=500, dbname=\"traces.db\", db=\"pickle\")\n", "m_norm.print_stats()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 12. HDDMrlRegressor\n", "\n", "As of version 0.7.6. HDDM includes a module for estimating the impact of continuous regressor onto RLDDM parameters. The module, called HDDMrlRegressor, works the same way as the HDDMRegressor for the normal DDM. The method allows estimation of the association of e.g. neural measures onto parameters. To illustrate the method we extend the function to generate rlddm_data by adding a normally distributed regressor and including a coefficient called 'neural'.Note that to run the HDDMrlRegressor you need to include alpha when specifying the model. For more information on how to set up regressor models look at the tutorial for HDDM." ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "# function to generate rlddm-data that adds a neural regressor to decision threshold\n", "def gen_rand_reg_rlddm_data(\n", " a,\n", " t,\n", " scaler,\n", " alpha,\n", " neural,\n", " size=1,\n", " p_upper=1,\n", " p_lower=0,\n", " z=0.5,\n", " q_init=0.5,\n", " split_by=0,\n", " subjs=1,\n", "):\n", " all_data = []\n", " n = size\n", " # set sd for variables to generate subject-parameters from group distribution\n", " sd_t = 0.02\n", " sd_a = 0.1\n", " sd_alpha = 0.1\n", " sd_v = 0.25\n", " # save parameter values as group-values\n", " tg = t\n", " ag = a\n", " alphag = alpha\n", " scalerg = scaler\n", " for s in range(0, subjs):\n", " t = (\n", " np.maximum(0.05, np.random.normal(loc=tg, scale=sd_t, size=1))\n", " if subjs > 1\n", " else tg\n", " )\n", " a = (\n", " np.maximum(0.05, np.random.normal(loc=ag, scale=sd_a, size=1))\n", " if subjs > 1\n", " else ag\n", " )\n", " alpha = (\n", " np.minimum(\n", " np.minimum(\n", " np.maximum(0.001, np.random.normal(loc=alphag, scale=sd_a, size=1)),\n", " alphag + alphag,\n", " ),\n", " 1,\n", " )\n", " if subjs > 1\n", " else alphag\n", " )\n", " scaler = (\n", " np.random.normal(loc=scalerg, scale=sd_v, size=1) if subjs > 1 else scalerg\n", " )\n", " # create a normalized regressor that is combined with the neural coefficient to create trial-by-trial values for decision threshold\n", " neural_reg = np.random.normal(0, 1, size=n)\n", " q_up = np.tile([q_init], n)\n", " q_low = np.tile([q_init], n)\n", " response = np.tile([0.5], n)\n", " feedback = np.tile([0.5], n)\n", " rt = np.tile([0], n)\n", " rew_up = np.random.binomial(1, p_upper, n).astype(float)\n", " rew_low = np.random.binomial(1, p_lower, n).astype(float)\n", " sim_drift = np.tile([0], n)\n", " subj_idx = np.tile([s], n)\n", " d = {\n", " \"q_up\": q_up,\n", " \"q_low\": q_low,\n", " \"sim_drift\": sim_drift,\n", " \"rew_up\": rew_up,\n", " \"rew_low\": rew_low,\n", " \"response\": response,\n", " \"rt\": rt,\n", " \"feedback\": feedback,\n", " \"subj_idx\": subj_idx,\n", " \"split_by\": split_by,\n", " \"trial\": 1,\n", " \"neural_reg\": neural_reg,\n", " }\n", " df = pd.DataFrame(data=d)\n", " df = df[\n", " [\n", " \"q_up\",\n", " \"q_low\",\n", " \"sim_drift\",\n", " \"rew_up\",\n", " \"rew_low\",\n", " \"response\",\n", " \"rt\",\n", " \"feedback\",\n", " \"subj_idx\",\n", " \"split_by\",\n", " \"trial\",\n", " \"neural_reg\",\n", " ]\n", " ]\n", " # generate data trial-by-trial using the Intercept (a), regressor (neural_reg) and coefficient (neural) for decision threshold.\n", " data, params = hddm.generate.gen_rand_data(\n", " {\n", " \"a\": a + neural * df.loc[0, \"neural_reg\"],\n", " \"t\": t,\n", " \"v\": df.loc[0, \"sim_drift\"],\n", " \"z\": z,\n", " },\n", " subjs=1,\n", " size=1,\n", " )\n", " df.loc[0, \"response\"] = data.response[0]\n", " df.loc[0, \"rt\"] = data.rt[0]\n", " if data.response[0] == 1.0:\n", " df.loc[0, \"feedback\"] = df.loc[0, \"rew_up\"]\n", " else:\n", " df.loc[0, \"feedback\"] = df.loc[0, \"rew_low\"]\n", "\n", " for i in range(1, n):\n", " df.loc[i, \"trial\"] = i + 1\n", " df.loc[i, \"q_up\"] = (\n", " df.loc[i - 1, \"q_up\"] * (1 - df.loc[i - 1, \"response\"])\n", " ) + (\n", " (df.loc[i - 1, \"response\"])\n", " * (\n", " df.loc[i - 1, \"q_up\"]\n", " + (alpha * (df.loc[i - 1, \"rew_up\"] - df.loc[i - 1, \"q_up\"]))\n", " )\n", " )\n", " df.loc[i, \"q_low\"] = (\n", " df.loc[i - 1, \"q_low\"] * (df.loc[i - 1, \"response\"])\n", " ) + (\n", " (1 - df.loc[i - 1, \"response\"])\n", " * (\n", " df.loc[i - 1, \"q_low\"]\n", " + (alpha * (df.loc[i - 1, \"rew_low\"] - df.loc[i - 1, \"q_low\"]))\n", " )\n", " )\n", " df.loc[i, \"sim_drift\"] = (df.loc[i, \"q_up\"] - df.loc[i, \"q_low\"]) * (scaler)\n", " data, params = hddm.generate.gen_rand_data(\n", " {\n", " \"a\": a + neural * df.loc[i, \"neural_reg\"],\n", " \"t\": t,\n", " \"v\": df.loc[i, \"sim_drift\"],\n", " \"z\": z,\n", " },\n", " subjs=1,\n", " size=1,\n", " )\n", " df.loc[i, \"response\"] = data.response[0]\n", " df.loc[i, \"rt\"] = data.rt[0]\n", " if data.response[0] == 1.0:\n", " df.loc[i, \"feedback\"] = df.loc[i, \"rew_up\"]\n", " else:\n", " df.loc[i, \"feedback\"] = df.loc[i, \"rew_low\"]\n", " all_data.append(df)\n", " all_data = pd.concat(all_data, axis=0)\n", " all_data = all_data[\n", " [\n", " \"q_up\",\n", " \"q_low\",\n", " \"sim_drift\",\n", " \"response\",\n", " \"rt\",\n", " \"feedback\",\n", " \"subj_idx\",\n", " \"split_by\",\n", " \"trial\",\n", " \"neural_reg\",\n", " ]\n", " ]\n", "\n", " return all_data" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " q_up q_low sim_drift response rt feedback subj_idx \\\n", "0 0.500000 0.500000 0.000000 1.0 0.506025 1.0 0 \n", "1 0.655194 0.500000 0.321482 1.0 0.612025 1.0 0 \n", "2 0.762217 0.500000 0.543180 0.0 0.473025 1.0 0 \n", "3 0.762217 0.655194 0.221698 0.0 0.667025 0.0 0 \n", "4 0.762217 0.451830 0.642964 1.0 0.409025 1.0 0 \n", "\n", " split_by trial neural_reg q_init \n", "0 0 1 -0.563624 0.5 \n", "1 0 2 -0.781290 0.5 \n", "2 0 3 1.264806 0.5 \n", "3 0 4 0.298274 0.5 \n", "4 0 5 0.229071 0.5 " ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create data with function defined above.\n", "# This will create trial-by-trial values for decision threshold (a) by adding the coefficient neural (here set to 0.2)\n", "# multiplied by a normalized regressor (neural_reg) to the 'Intercept' value of a (here set to 1)\n", "data_neural = gen_rand_reg_rlddm_data(\n", " a=1,\n", " t=0.3,\n", " scaler=2,\n", " alpha=0.2,\n", " neural=0.2,\n", " size=100,\n", " p_upper=0.7,\n", " p_lower=0.3,\n", " subjs=25,\n", ")\n", "data_neural[\"q_init\"] = 0.5\n", "data_neural.head()" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Adding these covariates:\n", "['a_Intercept', 'a_neural_reg']\n", " [-----------------100%-----------------] 1001 of 1000 complete in 687.8 sec mean std 2.5q 25q 50q 75q 97.5q mc err\n", "v 1.77982 0.179364 1.44742 1.65881 1.77016 1.8981 2.13252 0.0154737\n", "v_std 0.347709 0.156495 0.106553 0.223578 0.334912 0.456798 0.685135 0.0139315\n", "v_subj.0 1.90511 0.349163 1.32363 1.67743 1.86487 2.0913 2.72363 0.0222543\n", "v_subj.1 1.95427 0.331428 1.38104 1.72245 1.92206 2.15408 2.74285 0.0202816\n", "v_subj.2 1.61025 0.356265 0.861761 1.36741 1.63258 1.8535 2.247 0.0207686\n", "v_subj.3 1.74581 0.27481 1.24771 1.55051 1.72674 1.92711 2.35696 0.0147636\n", "v_subj.4 1.86945 0.29564 1.34704 1.65746 1.85039 2.04593 2.56522 0.0163225\n", "v_subj.5 1.68867 0.324564 1.01272 1.48896 1.70361 1.89581 2.27888 0.017118\n", "v_subj.6 1.64349 0.381525 0.802838 1.43458 1.65374 1.89287 2.36464 0.0223372\n", "v_subj.7 1.88742 0.373531 1.26646 1.64926 1.84455 2.10085 2.70312 0.0224872\n", "v_subj.8 1.66977 0.31559 0.973319 1.48736 1.6766 1.86767 2.28301 0.018848\n", "v_subj.9 1.85236 0.322536 1.21233 1.64689 1.83482 2.0544 2.51566 0.0195298\n", "v_subj.10 1.70042 0.305035 1.07015 1.4969 1.718 1.89541 2.30115 0.0191062\n", "v_subj.11 1.64573 0.320567 0.989453 1.44342 1.64364 1.84708 2.28433 0.017135\n", "v_subj.12 2.20135 0.391638 1.5728 1.89279 2.16443 2.4557 2.99248 0.0279293\n", "v_subj.13 1.78782 0.359303 1.06838 1.57175 1.77936 2.00966 2.50523 0.0199364\n", "v_subj.14 1.79168 0.39231 1.09438 1.55402 1.77386 2.02228 2.60944 0.019079\n", "v_subj.15 2.02136 0.333282 1.43574 1.78695 2.00095 2.22829 2.72837 0.020582\n", "v_subj.16 1.4873 0.448577 0.450346 1.23733 1.53178 1.77857 2.2913 0.0298906\n", "v_subj.17 1.30504 0.457928 0.350866 0.990748 1.35994 1.62736 2.13265 0.0339991\n", "v_subj.18 1.81636 0.342669 1.10572 1.60926 1.79665 2.01522 2.58298 0.0191542\n", "v_subj.19 1.83012 0.345574 1.20663 1.5937 1.80984 2.01437 2.65742 0.0200001\n", "v_subj.20 1.84845 0.29811 1.28992 1.64385 1.83143 2.02842 2.50095 0.0151424\n", "v_subj.21 1.85729 0.286864 1.32509 1.66318 1.8555 2.03206 2.45078 0.016736\n", "v_subj.22 1.70419 0.35553 0.922894 1.47883 1.70195 1.93783 2.3878 0.0203197\n", "v_subj.23 1.8667 0.300426 1.3111 1.6686 1.85051 2.06635 2.49491 0.0174151\n", "v_subj.24 1.71575 0.344087 1.09664 1.49461 1.70604 1.89517 2.49041 0.0225805\n", "t 0.298188 0.00654069 0.285417 0.29368 0.298304 0.302372 0.311928 0.000294325\n", "t_std 0.0324054 0.00547613 0.0238951 0.0286551 0.0316829 0.03562 0.0452491 0.000244488\n", "t_subj.0 0.264553 0.00737852 0.248014 0.259855 0.265397 0.270072 0.276868 0.000372492\n", "t_subj.1 0.319455 0.00465895 0.308307 0.316886 0.320295 0.322908 0.326405 0.00025667\n", "t_subj.2 0.308603 0.00366833 0.300445 0.306272 0.309031 0.311368 0.314476 0.000195408\n", "t_subj.3 0.320222 0.00655217 0.30696 0.316495 0.320962 0.324928 0.330346 0.00036611\n", "t_subj.4 0.291017 0.00706534 0.273739 0.286488 0.291779 0.29605 0.302464 0.0003973\n", "t_subj.5 0.331855 0.00549101 0.31982 0.328528 0.332045 0.335794 0.341727 0.000307285\n", "t_subj.6 0.309673 0.00488315 0.298544 0.306777 0.310401 0.313162 0.317526 0.000281754\n", "t_subj.7 0.266329 0.00740167 0.250178 0.261793 0.267524 0.271729 0.278576 0.000349668\n", "t_subj.8 0.252991 0.00636148 0.239175 0.248954 0.253764 0.25731 0.264281 0.000338265\n", "t_subj.9 0.269198 0.00429258 0.259328 0.266839 0.269525 0.272217 0.276128 0.000216084\n", "t_subj.10 0.281187 0.00594503 0.268281 0.277557 0.281764 0.285363 0.291345 0.000282572\n", "t_subj.11 0.304542 0.00615726 0.290571 0.300891 0.305228 0.309101 0.314534 0.000316772\n", "t_subj.12 0.326847 0.00782971 0.308872 0.322209 0.327398 0.332118 0.340609 0.000374158\n", "t_subj.13 0.339351 0.00523811 0.328162 0.336044 0.339929 0.342927 0.348845 0.000268213\n", "t_subj.14 0.292229 0.00698643 0.277252 0.288111 0.292938 0.296992 0.303587 0.000398644\n", "t_subj.15 0.293218 0.00655804 0.278841 0.289397 0.293951 0.297953 0.304262 0.000398055\n", "t_subj.16 0.253921 0.00629306 0.239556 0.250449 0.25447 0.258524 0.264746 0.000323669\n", "t_subj.17 0.34338 0.00516349 0.331029 0.34034 0.344104 0.34712 0.351557 0.000272505\n", "t_subj.18 0.317688 0.0057973 0.303721 0.314444 0.318549 0.321736 0.326704 0.00025511\n", "t_subj.19 0.262735 0.00605717 0.24914 0.258909 0.263085 0.267158 0.273459 0.000334358\n", "t_subj.20 0.334918 0.00819456 0.31673 0.32951 0.335776 0.340519 0.349704 0.000394479\n", "t_subj.21 0.325387 0.00621515 0.310942 0.321801 0.325992 0.329647 0.335828 0.000314864\n", "t_subj.22 0.264683 0.00634221 0.250899 0.260806 0.264882 0.268988 0.276698 0.000331978\n", "t_subj.23 0.303186 0.00497151 0.292099 0.299921 0.303812 0.306877 0.311227 0.000282781\n", "t_subj.24 0.253861 0.00607589 0.241005 0.249865 0.254104 0.258405 0.264717 0.000342499\n", "alpha -1.5388 0.30262 -2.18862 -1.71608 -1.52683 -1.35151 -0.939043 0.0275414\n", "alpha_std 0.561637 0.254317 0.188437 0.370688 0.531378 0.710956 1.16209 0.0225401\n", "alpha_subj.0 -1.48915 0.471831 -2.45218 -1.78235 -1.4687 -1.1843 -0.575602 0.0263753\n", "alpha_subj.1 -0.727243 0.48732 -1.58799 -1.07403 -0.740631 -0.40709 0.298202 0.0342327\n", "alpha_subj.2 -1.57709 0.661173 -3.18151 -1.932 -1.51195 -1.15704 -0.368125 0.0362954\n", "alpha_subj.3 -1.38443 0.571389 -2.55393 -1.76189 -1.36466 -1.02392 -0.212549 0.0320569\n", "alpha_subj.4 -1.52256 0.48803 -2.5578 -1.80418 -1.49869 -1.21256 -0.540501 0.0298234\n", "alpha_subj.5 -1.36699 0.522855 -2.71826 -1.62961 -1.31544 -1.04203 -0.48471 0.0313527\n", "alpha_subj.6 -1.91881 0.705414 -3.692 -2.33493 -1.84719 -1.43209 -0.783988 0.050397\n", "alpha_subj.7 -1.62302 0.532136 -2.7047 -1.94615 -1.5907 -1.29245 -0.569097 0.0331962\n", "alpha_subj.8 -1.71126 0.590274 -3.01687 -2.05861 -1.61785 -1.30785 -0.696978 0.0380833\n", "alpha_subj.9 -1.52384 0.515235 -2.58804 -1.86888 -1.49462 -1.17632 -0.486591 0.0307837\n", "alpha_subj.10 -1.59304 0.507594 -2.74371 -1.876 -1.55411 -1.27088 -0.723159 0.0323703\n", "alpha_subj.11 -1.44643 0.594432 -2.71529 -1.73834 -1.43861 -1.12066 -0.250293 0.0338927\n", "alpha_subj.12 -1.35321 0.47287 -2.23727 -1.6461 -1.37627 -1.07615 -0.353729 0.0261803\n", "alpha_subj.13 -1.59176 0.582033 -2.79097 -1.903 -1.53142 -1.23027 -0.539582 0.0364847\n", "alpha_subj.14 -1.58047 0.602659 -2.87655 -1.93766 -1.54757 -1.19166 -0.441487 0.037198\n", "alpha_subj.15 -1.08406 0.465382 -1.99835 -1.38774 -1.10747 -0.781884 -0.166816 0.0248745\n", "alpha_subj.16 -2.02693 0.76558 -3.74247 -2.53212 -1.9009 -1.44076 -0.86809 0.056568\n", "alpha_subj.17 -1.78021 0.919036 -4.24421 -2.20273 -1.55682 -1.2184 -0.374563 0.0695981\n", "alpha_subj.18 -1.56633 0.513318 -2.69067 -1.85372 -1.53263 -1.24246 -0.64389 0.0296384\n", "alpha_subj.19 -1.68639 0.517942 -2.74198 -2.018 -1.66011 -1.34442 -0.656102 0.0332752\n", "alpha_subj.20 -1.35127 0.47716 -2.48011 -1.62904 -1.32074 -1.05337 -0.389908 0.0252333\n", "alpha_subj.21 -1.32246 0.580595 -2.40304 -1.67919 -1.32849 -1.02621 0.0897752 0.0314216\n", "alpha_subj.22 -1.83935 0.671932 -3.45931 -2.25761 -1.7196 -1.39198 -0.718557 0.0447202\n", "alpha_subj.23 -1.70156 0.479866 -2.79362 -1.99478 -1.6883 -1.37244 -0.862226 0.0274342\n", "alpha_subj.24 -1.80201 0.600622 -3.1985 -2.12676 -1.70361 -1.41517 -0.793611 0.0436462\n", "a_Intercept 1.01282 0.0222038 0.971476 0.996606 1.01076 1.02878 1.05927 0.00106768\n", "a_Intercept_std 0.0948422 0.018925 0.0639246 0.081078 0.0925205 0.105625 0.136657 0.00108924\n", "a_Intercept_subj.0 1.06505 0.0443915 0.981879 1.03446 1.06258 1.09386 1.1563 0.00236131\n", "a_Intercept_subj.1 1.01544 0.0416811 0.943411 0.986366 1.01283 1.0421 1.09932 0.00208359\n", "a_Intercept_subj.2 0.812145 0.0366041 0.746886 0.786296 0.810174 0.836595 0.887469 0.002127\n", "a_Intercept_subj.3 1.0261 0.0440427 0.946544 0.995273 1.02444 1.05272 1.12888 0.00222425\n", "a_Intercept_subj.4 1.02805 0.0435711 0.94799 0.997437 1.02599 1.05782 1.11425 0.00251182\n", "a_Intercept_subj.5 0.971314 0.0406365 0.894895 0.942531 0.971106 0.999048 1.0542 0.00219676\n", "a_Intercept_subj.6 0.931071 0.0385461 0.863884 0.903476 0.928429 0.955591 1.01732 0.00229643\n", "a_Intercept_subj.7 1.16098 0.0478498 1.07088 1.12873 1.15835 1.19485 1.25131 0.00222676\n", "a_Intercept_subj.8 1.03296 0.0408615 0.956804 1.00625 1.03054 1.05996 1.11376 0.00192685\n", "a_Intercept_subj.9 0.959566 0.0398964 0.886919 0.933076 0.95861 0.983758 1.04295 0.0018792\n", "a_Intercept_subj.10 1.00909 0.0424419 0.934106 0.977941 1.00622 1.03894 1.0935 0.00202778\n", "a_Intercept_subj.11 1.0881 0.0444363 1.00907 1.05667 1.08355 1.11832 1.1818 0.00213301\n", "a_Intercept_subj.12 1.08052 0.0455087 0.989387 1.04928 1.08072 1.11129 1.17353 0.00237405\n", "a_Intercept_subj.13 0.890781 0.0396113 0.817139 0.862529 0.890319 0.918796 0.969185 0.0021704\n", "a_Intercept_subj.14 1.03764 0.0429662 0.962838 1.00603 1.03661 1.06403 1.12337 0.00240711\n", "a_Intercept_subj.15 0.973689 0.0454957 0.894411 0.941504 0.970952 1.00073 1.07563 0.00257554\n", "a_Intercept_subj.16 1.01024 0.0407784 0.932428 0.983057 1.00868 1.03768 1.09707 0.00183196\n", "a_Intercept_subj.17 0.910582 0.0381291 0.837526 0.884812 0.909782 0.934532 0.988974 0.00201244\n", "a_Intercept_subj.18 0.962727 0.0429818 0.883188 0.931343 0.962836 0.99014 1.0526 0.00201699\n", "a_Intercept_subj.19 0.957915 0.0403836 0.880067 0.931306 0.957415 0.982781 1.04252 0.00208297\n", "a_Intercept_subj.20 1.13501 0.0480892 1.04304 1.10407 1.13162 1.16588 1.23176 0.00257405\n", "a_Intercept_subj.21 1.06483 0.0429713 0.979812 1.03554 1.06315 1.09358 1.15422 0.00230302\n", "a_Intercept_subj.22 1.05345 0.043446 0.969941 1.02381 1.05374 1.08216 1.13855 0.00240664\n", "a_Intercept_subj.23 1.00161 0.0403246 0.927866 0.9747 0.999837 1.02992 1.07995 0.00223534\n", "a_Intercept_subj.24 1.12539 0.0433619 1.04065 1.09665 1.12353 1.15507 1.21458 0.00249173\n", "a_neural_reg 0.192445 0.00688622 0.178638 0.188456 0.192657 0.197062 0.205718 0.000300237\n", "DIC: 585.060365\n", "deviance: 524.769182\n", "pD: 60.291183\n" ] } ], "source": [ "# run a regressor model estimating the impact of 'neural' on decision threshold a. This should estimate the coefficient a_neural_reg to be 0.2\n", "# to run the HDDMrlRegressor you need to include alpha\n", "m_reg = hddm.HDDMrlRegressor(data_neural, \"a ~ neural_reg\", include=[\"v\", \"a\", \"t\", \"alpha\")\n", "m_reg.sample(1000, burn=250)\n", "m_reg.print_stats()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 13. Regular RL without RT\n", "HDDMrl also includes a module to run an RL-model that uses softmax to transform q-values to probability of choosing options associated with upper (response=1) or lower (response=0) boundary. To run this model you type hddm.Hrl instead of hddm.HDDMrl. The setup is the same as for HDDMrl, and for now, the model won't run if you don't include an rt-column. This will be fixed for a future version, but for now, if you don't have RTs you can just create an rt-column where you set all rts to e.g. 0.5. You can choose to estimate separate learning rates for positive and negative learning rate by setting dual=True (see [here](#9.-Separate-learning-rates-for-positive-and-negative-prediction-errors) for more information). The model will by default estimate posterior distributions for the alpha and v parameters. The probability of choosing upper boundary is captured as:

\n", "      $p_{up} =(e^{-2*z*d_t}-1)/ (e^{-2*d_t}-1)$,

\n", "where ${d_t}=q_{up_t}-q_{low}*v$ and z represents starting point (which for now is fixed to be 0.5).
\n", "This calculation is equivalent to soft-max transformation when z=0.5." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1500 of 1500 complete in 48.9 sec mean std 2.5q 25q 50q 75q 97.5q mc err\n", "v 5.14048 0.839714 3.63456 4.55786 5.09123 5.67719 6.87186 0.0577487\n", "v_std 3.16786 0.61562 2.09667 2.73734 3.10174 3.56384 4.48614 0.0402439\n", "v_subj.3 6.46254 2.61629 2.21694 4.63587 6.18972 8.02542 12.4269 0.186528\n", "v_subj.4 1.8161 0.297299 1.25087 1.61536 1.80061 2.00403 2.40958 0.0125741\n", "v_subj.5 6.00183 2.4693 2.18512 4.16315 5.75581 7.50916 11.7128 0.161611\n", "v_subj.6 4.94938 2.06436 2.19863 3.3915 4.54262 6.02127 10.0679 0.158656\n", "v_subj.8 9.22737 2.44838 5.02048 7.51998 9.01577 10.7196 14.8147 0.148344\n", "v_subj.12 3.44529 0.455461 2.58032 3.13456 3.44952 3.73523 4.37205 0.0159139\n", "v_subj.17 7.23105 2.19782 3.91867 5.63506 7.00177 8.37916 12.4014 0.144856\n", "v_subj.18 6.23558 1.59895 3.64971 5.09378 6.05111 7.16278 10.129 0.105015\n", "v_subj.19 12.9879 2.34123 8.78985 11.3431 12.8088 14.4949 18.1708 0.146644\n", "v_subj.20 9.08918 1.78054 6.23351 7.82381 8.89704 10.1861 13.1914 0.0929406\n", "v_subj.22 2.19178 0.326777 1.60536 1.96843 2.17251 2.39768 2.90606 0.0126586\n", "v_subj.23 3.92408 1.40194 2.11516 2.97809 3.64019 4.52494 7.57662 0.0984045\n", "v_subj.24 6.40779 1.23265 4.08482 5.54234 6.35451 7.23838 8.93554 0.0474659\n", "v_subj.26 1.06572 0.598597 0.449698 0.817361 1.02123 1.19697 1.84758 0.0330059\n", "v_subj.33 3.19125 2.1925 0.595736 1.69953 2.58095 4.20198 9.11667 0.131864\n", "v_subj.34 5.23295 2.46784 1.76062 3.52248 4.72168 6.5196 10.7389 0.150957\n", "v_subj.35 5.39632 2.19827 2.35718 3.81802 4.99475 6.47959 10.9115 0.152519\n", "v_subj.36 4.85592 2.21473 1.79412 3.20653 4.49632 6.01473 10.3622 0.156346\n", "v_subj.39 2.77537 1.92804 0.786927 1.62586 2.17228 3.27744 8.58766 0.139842\n", "v_subj.42 7.89607 2.12904 4.76294 6.39098 7.5436 9.03892 12.8054 0.162535\n", "v_subj.50 5.47573 2.25683 2.74142 3.85635 4.93099 6.59728 11.4567 0.192503\n", "v_subj.52 6.19523 1.92545 3.34178 4.69915 5.9159 7.38791 10.5952 0.134334\n", "v_subj.56 2.16141 1.92876 0.353802 0.876967 1.36078 2.81156 7.81351 0.152561\n", "v_subj.59 8.42817 1.70534 5.57636 7.20767 8.24582 9.52687 12.1827 0.0821291\n", "v_subj.63 4.29009 1.6713 1.99421 3.19971 3.9098 5.05409 8.51171 0.100517\n", "v_subj.71 2.39098 1.62547 0.815434 1.45656 1.87088 2.6741 7.4096 0.129583\n", "v_subj.75 3.99447 0.662463 2.84271 3.5132 3.98879 4.44952 5.32874 0.0285233\n", "v_subj.80 4.44083 2.11116 1.62633 2.88391 4.10381 5.533 9.49021 0.143342\n", "alpha -2.13182 0.287442 -2.69953 -2.30697 -2.12197 -1.93288 -1.61584 0.0189458\n", "alpha_std 1.16767 0.260837 0.707461 0.991095 1.14976 1.32139 1.74141 0.0178763\n", "alpha_subj.3 -2.72743 0.7594 -3.81023 -3.23115 -2.87436 -2.35884 -0.749873 0.0540249\n", "alpha_subj.4 0.0113176 0.524853 -0.819203 -0.36341 -0.0361766 0.309612 1.1504 0.0226387\n", "alpha_subj.5 -2.91697 0.713892 -4.05535 -3.41106 -3.02513 -2.50774 -1.26763 0.048805\n", "alpha_subj.6 -2.81516 0.752684 -4.09916 -3.36933 -2.88947 -2.32021 -1.21857 0.0571369\n", "alpha_subj.8 -2.21303 0.379956 -2.95937 -2.47067 -2.22135 -1.95457 -1.41975 0.0217383\n", "alpha_subj.12 -0.942139 0.383711 -1.65932 -1.18141 -0.94197 -0.700033 -0.143936 0.0156457\n", "alpha_subj.17 -2.39441 0.524603 -3.38326 -2.72125 -2.40949 -2.09296 -1.35412 0.0358276\n", "alpha_subj.18 -1.76167 0.566112 -2.86707 -2.1458 -1.76134 -1.37477 -0.640318 0.0357993\n", "alpha_subj.19 -3.12 0.263948 -3.63128 -3.30243 -3.13348 -2.94294 -2.57995 0.0151048\n", "alpha_subj.20 -1.7036 0.346164 -2.38092 -1.94678 -1.69906 -1.45451 -1.06343 0.0178838\n", "alpha_subj.22 -1.02867 0.221313 -1.43232 -1.18136 -1.03809 -0.880085 -0.571247 0.00974896\n", "alpha_subj.23 -1.65721 0.673052 -3.13691 -2.07917 -1.6312 -1.20921 -0.345706 0.0425986\n", "alpha_subj.24 -1.47753 0.288573 -2.03806 -1.65553 -1.47573 -1.28202 -0.947528 0.0100576\n", "alpha_subj.26 0.104881 1.21726 -3.71006 -0.276283 0.247534 0.810179 1.966 0.0699385\n", "alpha_subj.33 -2.76665 1.13518 -4.89066 -3.53348 -2.79912 -1.93142 -0.692199 0.0708956\n", "alpha_subj.34 -2.64619 0.762381 -4.0739 -3.13906 -2.68416 -2.15506 -1.10478 0.0461447\n", "alpha_subj.35 -2.48689 0.727094 -3.77359 -3.00778 -2.51844 -2.04445 -0.975858 0.0481057\n", "alpha_subj.36 -2.44663 0.802067 -3.80515 -3.02743 -2.53502 -1.95624 -0.735304 0.0544657\n", "alpha_subj.39 -2.65697 0.959905 -4.67281 -3.29148 -2.56611 -1.96863 -0.99159 0.0644552\n", "alpha_subj.42 -2.2208 0.517228 -3.19507 -2.58736 -2.20951 -1.8591 -1.24904 0.0364116\n", "alpha_subj.50 -3.22932 0.894842 -4.81065 -3.90559 -3.28764 -2.56751 -1.55182 0.0730478\n", "alpha_subj.52 -2.8379 0.466178 -3.71205 -3.1641 -2.84155 -2.49667 -1.97442 0.03317\n", "alpha_subj.56 -3.21331 1.33392 -5.56117 -4.32803 -3.16609 -2.20826 -0.820651 0.103684\n", "alpha_subj.59 -2.1307 0.316159 -2.70072 -2.34828 -2.14507 -1.93096 -1.49157 0.0145967\n", "alpha_subj.63 -2.11201 0.758254 -3.62406 -2.59707 -2.09895 -1.61512 -0.461843 0.0465182\n", "alpha_subj.71 -2.75269 1.18507 -5.22145 -3.56475 -2.53774 -1.97246 -0.478718 0.0917664\n", "alpha_subj.75 -1.56128 0.427997 -2.39539 -1.85188 -1.54846 -1.27424 -0.745224 0.0187321\n", "alpha_subj.80 -2.41298 0.756663 -3.79018 -2.92344 -2.44542 -1.93866 -0.900164 0.0518927\n", "DIC: 5788.823997\n", "deviance: 5759.871554\n", "pD: 28.952442\n" ] } ], "source": [ "# run the model by calling hddm.Hrl (instead of hddm.HDDM for normal model and hddm.HDDMrl for rlddm-model)\n", "m_rl = hddm.Hrl(data)\n", "# set sample and burn-in\n", "m_rl.sample(1500, burn=500, dbname=\"traces.db\", db=\"pickle\")\n", "# print stats to get an overview of posterior distribution of estimated parameters\n", "m_rl.print_stats()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Parameter estimates from the pure RL-model are a bit different compared to the RLDDM. This is to be expected as probability of choice in DDM is dependent both on the decsision threshold and the scaled difference in q-values, whereas the RL model only uses the scaled difference in q-values. " ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting v\n", "Plotting v_std\n", "Plotting alpha\n", "Plotting alpha_std\n" ] }, { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m_rl.plot_posteriors()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ Mixing and autocorrelation looks good." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 1500 of 1500 complete in 48.7 sec" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/kabuki/analyze.py:148: FutureWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#ix-indexer-is-deprecated\n", " samples[i,:] = model.nodes_db.ix[name, 'node'].trace()\n", "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/pandas/core/indexing.py:961: FutureWarning: \n", ".ix is deprecated. Please use\n", ".loc for label based indexing or\n", ".iloc for positional indexing\n", "\n", "See the documentation here:\n", "http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#ix-indexer-is-deprecated\n", " return getattr(section, self.name)[new_key]\n" ] }, { "data": { "text/plain": [ "1.0244990742970825" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# estimate convergence\n", "models = []\n", "for i in range(3):\n", " m = hddm.Hrl(data=data)\n", " m.sample(1500, burn=500, dbname=\"traces.db\", db=\"pickle\")\n", " models.append(m)\n", "# get max gelman-statistic value. shouldn't be higher than 1.1\n", "np.max(list(gelman_rubin(models).values()))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convergence looks good, i.e. no parameters with gelman-rubin statistic > 1.1." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "# Create a new model that has all traces concatenated\n", "# of individual models.\n", "m_rl = kabuki.utils.concat_models(models)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "alpha, v = m_rl.nodes_db.node[[\"alpha\", \"v\"]]\n", "samples = {\"alpha\": alpha.trace(), \"v\": v.trace()}\n", "samp = pd.DataFrame(data=samples)\n", "\n", "\n", "def corrfunc(x, y, **kws):\n", " r, _ = stats.pearsonr(x, y)\n", " ax = plt.gca()\n", " ax.annotate(\"r = {:.2f}\".format(r), xy=(0.1, 0.9), xycoords=ax.transAxes)\n", "\n", "\n", "g = sns.PairGrid(samp, palette=[\"red\"])\n", "g.map_upper(plt.scatter, s=10)\n", "g.map_diag(sns.distplot, kde=False)\n", "g.map_lower(sns.kdeplot, cmap=\"Blues_d\")\n", "\n", "g.map_lower(corrfunc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ The correlation in the posterior distribution for alpha and v/scaling is somewhat negative." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Posterior predictive check\n", "We can also do posterior predictive check on the RL-model by generating new data with hddm.generate.gen_rand_rl_data." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 50/50 [12:53<00:00, 15.47s/it]\n", "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/pandas/core/frame.py:7138: FutureWarning: Sorting because non-concatenation axis is not aligned. A future version\n", "of pandas will change to not sort by default.\n", "\n", "To accept the future behavior, pass 'sort=False'.\n", "\n", "To retain the current behavior and silence the warning, pass 'sort=True'.\n", "\n", " sort=sort,\n" ] } ], "source": [ "# create empty dataframe to store simulated data\n", "sim_data = pd.DataFrame()\n", "# create a column samp to be used to identify the simulated data sets\n", "data[\"samp\"] = 0\n", "# load traces\n", "traces = m_rl.get_traces()\n", "# decide how many times to repeat simulation process. repeating this multiple times is generally recommended as it better captures the uncertainty in the posterior distribution, but will also take some time\n", "for i in tqdm(range(1, 51)):\n", " # randomly select a row in the traces to use for extracting parameter values\n", " sample = np.random.randint(0, traces.shape[0] - 1)\n", " # loop through all subjects in observed data\n", " for s in data.subj_idx.unique():\n", " # get number of trials for each condition.\n", " size0 = len(\n", " data[(data[\"subj_idx\"] == s) & (data[\"split_by\"] == 0)].trial.unique()\n", " )\n", " size1 = len(\n", " data[(data[\"subj_idx\"] == s) & (data[\"split_by\"] == 1)].trial.unique()\n", " )\n", " size2 = len(\n", " data[(data[\"subj_idx\"] == s) & (data[\"split_by\"] == 2)].trial.unique()\n", " )\n", " # set parameter values for simulation\n", " scaler = traces.loc[sample, \"v_subj.\" + str(s)]\n", " alphaInv = traces.loc[sample, \"alpha_subj.\" + str(s)]\n", " # take inverse logit of estimated alpha\n", " alpha = np.exp(alphaInv) / (1 + np.exp(alphaInv))\n", " # simulate data for each condition changing only values of size, p_upper, p_lower and split_by between conditions.\n", " sim_data0 = hddm.generate.gen_rand_rl_data(\n", " scaler=scaler, alpha=alpha, size=size0, p_upper=0.8, p_lower=0.2, split_by=0\n", " )\n", " sim_data1 = hddm.generate.gen_rand_rl_data(\n", " scaler=scaler, alpha=alpha, size=size1, p_upper=0.7, p_lower=0.3, split_by=1\n", " )\n", " sim_data2 = hddm.generate.gen_rand_rl_data(\n", " scaler=scaler, alpha=alpha, size=size2, p_upper=0.6, p_lower=0.4, split_by=2\n", " )\n", " # append the conditions\n", " sim_data0 = sim_data0.append([sim_data1, sim_data2], ignore_index=True)\n", " # assign subj_idx\n", " sim_data0[\"subj_idx\"] = s\n", " # identify that these are simulated data\n", " sim_data0[\"type\"] = \"simulated\"\n", " # identify the simulated data\n", " sim_data0[\"samp\"] = i\n", " # append data from each subject\n", " sim_data = sim_data.append(sim_data0, ignore_index=True)\n", "# combine observed and simulated data\n", "ppc_rl_data = data[\n", " [\"subj_idx\", \"response\", \"split_by\", \"trial\", \"feedback\", \"samp\"]\n", "].copy()\n", "ppc_rl_data[\"type\"] = \"observed\"\n", "ppc_rl_sdata = sim_data[\n", " [\"subj_idx\", \"response\", \"split_by\", \"trial\", \"feedback\", \"type\", \"samp\"]\n", "].copy()\n", "ppc_rl_data = ppc_rl_data.append(ppc_rl_sdata)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "# for practical reasons we only look at the first 40 trials for each subject in a given condition\n", "plot_ppc_rl_data = ppc_rl_data[ppc_rl_data.trial < 41].copy()" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "# bin trials to for smoother estimate of response proportion across learning\n", "plot_ppc_rl_data[\"bin_trial\"] = pd.cut(\n", " plot_ppc_rl_data.trial, 11, labels=np.linspace(0, 10, 11)\n", ").astype(\"int64\")\n", "# calculate means for each sample\n", "sums = (\n", " plot_ppc_rl_data.groupby([\"bin_trial\", \"split_by\", \"samp\", \"type\"])\n", " .mean()\n", " .reset_index()\n", ")\n", "# calculate the overall mean response across samples\n", "ppc_rl_sim = sums.groupby([\"bin_trial\", \"split_by\", \"type\"]).mean().reset_index()\n", "# initiate columns that will have the upper and lower bound of the hpd\n", "ppc_rl_sim[\"upper_hpd\"] = 0\n", "ppc_rl_sim[\"lower_hpd\"] = 0\n", "for i in range(0, ppc_rl_sim.shape[0]):\n", " # calculate the hpd/hdi of the predicted mean responses across bin_trials\n", " hdi = pymc.utils.hpd(\n", " sums.response[\n", " (sums[\"bin_trial\"] == ppc_rl_sim.bin_trial[i])\n", " & (sums[\"split_by\"] == ppc_rl_sim.split_by[i])\n", " & (sums[\"type\"] == ppc_rl_sim.type[i])\n", " ],\n", " alpha=0.1,\n", " )\n", " ppc_rl_sim.loc[i, \"upper_hpd\"] = hdi[1]\n", " ppc_rl_sim.loc[i, \"lower_hpd\"] = hdi[0]\n", "# calculate error term as the distance from upper bound to mean\n", "ppc_rl_sim[\"up_err\"] = ppc_rl_sim[\"upper_hpd\"] - ppc_rl_sim[\"response\"]\n", "ppc_rl_sim[\"low_err\"] = ppc_rl_sim[\"response\"] - ppc_rl_sim[\"lower_hpd\"]\n", "ppc_rl_sim[\"model\"] = \"RL\"" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/madslundpedersen/anaconda/envs/py36/lib/python3.6/site-packages/ipykernel/__main__.py:7: SettingWithCopyWarning: \n", "A value is trying to be set on a copy of a slice from a DataFrame.\n", "Try using .loc[row_indexer,col_indexer] = value instead\n", "\n", "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plotting evolution of choice proportion for best option across learning for observed and simulated data. Compared for RL and RLDDM models, both with single learnign rate.\n", "fig, axs = plt.subplots(figsize=(15, 5), nrows=1, ncols=3, sharex=True, sharey=True)\n", "for i in range(0, 3):\n", " ax = axs[i]\n", " d_single = ppc_sim[(ppc_sim.split_by == i) & (ppc_sim.type == \"simulated\")]\n", " # slightly move bin_trial to avoid overlap in errorbars\n", " d_single[\"bin_trial\"] += 0.2\n", " ax.errorbar(\n", " d_single.bin_trial,\n", " d_single.response,\n", " yerr=[d_single.low_err, d_single.up_err],\n", " label=\"simulated_RLDDM\",\n", " color=\"orange\",\n", " )\n", " ax = axs[i]\n", " d_rl = ppc_rl_sim[(ppc_rl_sim.split_by == i) & (ppc_rl_sim.type == \"simulated\")]\n", " ax.errorbar(\n", " d_rl.bin_trial,\n", " d_rl.response,\n", " yerr=[d_rl.low_err, d_rl.up_err],\n", " label=\"simulated_RL\",\n", " color=\"green\",\n", " )\n", " ax = axs[i]\n", " d = ppc_sim[(ppc_dual_sim.split_by == i) & (ppc_dual_sim.type == \"observed\")]\n", " ax.plot(d.bin_trial, d.response, linewidth=3, label=\"observed\")\n", " ax.set_title(\"split_by = %i\" % i, fontsize=20)\n", " ax.set_ylabel(\"mean response\")\n", " ax.set_xlabel(\"trial\")\n", "plt.xlim(-0.5, 10.5)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Fig.__ The predicted choice for the RL-model is very similar to what was predicted in the RLDDM. That is not surprising given that they use the same calculation to get the choice likelihood. The difference between them is instead that the RLDDM could potentially detect the unique contribution of the scaling/drift parameter and the decision threshold onto choice." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Misprediction across learning\n", "Another way to visualize this is to look at how the predicted choice misses on the observed across learning, i.e. predicted-observed. As for the other plots we see that the two methods are very similar. " ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# rl\n", "error_prediction = (\n", " plot_ppc_rl_data.groupby([\"split_by\", \"type\", \"bin_trial\"])[\"response\"]\n", " .mean()\n", " .reset_index()\n", ")\n", "ep = error_prediction.pivot_table(\n", " index=[\"split_by\", \"bin_trial\"], columns=\"type\", values=\"response\"\n", ").reset_index()\n", "ep[\"diff\"] = ep[\"simulated\"] - ep[\"observed\"]\n", "ep[\"model\"] = \"RL\"\n", "# rlddm\n", "error_prediction = (\n", " plot_ppc_data.groupby([\"split_by\", \"type\", \"bin_trial\"])[\"response\"]\n", " .mean()\n", " .reset_index()\n", ")\n", "ep_rlddm = error_prediction.pivot_table(\n", " index=[\"split_by\", \"bin_trial\"], columns=\"type\", values=\"response\"\n", ").reset_index()\n", "ep_rlddm[\"diff\"] = ep_rlddm[\"simulated\"] - ep_rlddm[\"observed\"]\n", "ep_rlddm[\"model\"] = \"RLDDM\"\n", "# combine\n", "ep = ep.append(ep_rlddm)\n", "# plot\n", "g = sns.relplot(\n", " x=\"bin_trial\",\n", " y=\"diff\",\n", " col=\"split_by\",\n", " hue=\"model\",\n", " kind=\"line\",\n", " ci=False,\n", " data=ep,\n", " palette=\"Set2_r\",\n", ")\n", "g.map(plt.axhline, y=0, ls=\":\", c=\".5\")" ] } ], "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": "3.11.1 (main, Jan 6 2023, 16:11:36) [Clang 11.0.0 (clang-1100.0.33.16)]" }, "vscode": { "interpreter": { "hash": "1a1af0ee75eeea9e2e1ee996c87e7a2b11a0bebd85af04bb136d915cefc0abce" } } }, "nbformat": 4, "nbformat_minor": 4 }