From 5dd9f505d38dd69d4cf8ab931d28c8999791bc31 Mon Sep 17 00:00:00 2001 From: lorcandelaney Date: Wed, 7 Aug 2019 21:26:02 +0200 Subject: [PATCH 1/2] Add hyperrectangles-based samplers/tests/notebooks. --- docs/source/mcmc_samplers/index.rst | 3 +- .../slice_hyperrectangles_mcmc.rst | 7 + examples/README.md | 2 + ...-slice-adaptive-hyperrectangles-mcmc.ipynb | 948 ++++++++++++++++++ .../sampling-slice-hyperrectangles-mcmc.ipynb | 940 +++++++++++++++++ .../toy-distribution-twisted-gaussian.ipynb | 10 +- examples/toy-model-fitzhugh-nagumo.ipynb | 2 +- examples/toy-model-goodwin-oscillator.ipynb | 2 +- pints/__init__.py | 1 + pints/_mcmc/_slice_hyperrectangles.py | 283 ++++++ .../tests/test_mcmc_slice_hyperrectangles.py | 144 +++ 11 files changed, 2334 insertions(+), 8 deletions(-) create mode 100644 docs/source/mcmc_samplers/slice_hyperrectangles_mcmc.rst create mode 100644 examples/sampling-slice-adaptive-hyperrectangles-mcmc.ipynb create mode 100644 examples/sampling-slice-hyperrectangles-mcmc.ipynb create mode 100644 pints/_mcmc/_slice_hyperrectangles.py create mode 100644 pints/tests/test_mcmc_slice_hyperrectangles.py diff --git a/docs/source/mcmc_samplers/index.rst b/docs/source/mcmc_samplers/index.rst index 871b086a6..6491765a9 100644 --- a/docs/source/mcmc_samplers/index.rst +++ b/docs/source/mcmc_samplers/index.rst @@ -22,4 +22,5 @@ interface, that can be used to sample from an unknown metropolis_mcmc population_mcmc slice_doubling_mcmc - slice_stepout_mcmc \ No newline at end of file + slice_stepout_mcmc + slice_hyperrectangles_mcmc \ No newline at end of file diff --git a/docs/source/mcmc_samplers/slice_hyperrectangles_mcmc.rst b/docs/source/mcmc_samplers/slice_hyperrectangles_mcmc.rst new file mode 100644 index 000000000..2b9e7502b --- /dev/null +++ b/docs/source/mcmc_samplers/slice_hyperrectangles_mcmc.rst @@ -0,0 +1,7 @@ +************************************************** +Slice Sampling - Hyperrectangles MCMC +************************************************** + +.. currentmodule:: pints + +.. autoclass:: SliceHyperrectanglesMCMC \ No newline at end of file diff --git a/examples/README.md b/examples/README.md index 4b52c428e..7f82717f6 100644 --- a/examples/README.md +++ b/examples/README.md @@ -46,10 +46,12 @@ relevant code. - [Slice Sampling: Stepout MCMC](./sampling-slice-stepout-mcmc.ipynb) - [Slice Sampling: Doubling MCMC](./sampling-slice-doubling-mcmc.ipynb) - [Slice Sampling: Overrelaxation MCMC](./sampling-slice-overrelaxation-mcmc.ipynb) +- [Slice Sampling: Hyperrectangles MCMC](./sampling-slice-hyperrectangles-mcmc.ipynb) ### MCMC with gradients - [Hamiltonian MCMC](./sampling-hamiltonian-mcmc.ipynb) - [MALA MCMC](./sampling-mala-mcmc.ipynb) +- [Slice Sampling: Adaptive Hyperrectangles MCMC](./sampling-slice-adaptive-hyperrectangles-mcmc.ipynb) ### Nested sampling - [Ellipsoidal nested rejection sampling](./sampling-ellipsoidal-nested-rejection-sampling.ipynb) diff --git a/examples/sampling-slice-adaptive-hyperrectangles-mcmc.ipynb b/examples/sampling-slice-adaptive-hyperrectangles-mcmc.ipynb new file mode 100644 index 000000000..190657962 --- /dev/null +++ b/examples/sampling-slice-adaptive-hyperrectangles-mcmc.ipynb @@ -0,0 +1,948 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inference: Slice Sampling with Adaptive Hyperrectangles\n", + "This example shows you how to perform Bayesian inference on multiple toy problems, using\n", + "Slice Sampling with Adaptive Hyperrectangles, as described in [1].\n", + "\n", + "This is a multivariate method, which generates n-dimensional samples of the form $x = (x_1, ..., x_n)$ by sampling uniformly from the area of an axis-aligned hyperrectangle: $H = \\{x: L_i < x_i < R_i$ for all $i = 1, ..., n\\}$. Here, $L_i$ and $R_i$ define the extent of the hyperrectangle along the $i$th axis.\n", + "\n", + "Sampling follows:\n", + "\n", + "1. Calculate the pdf ($f(x0)$) of the current sample ($x_0$).\n", + "2. Draw a real value ($y$) uniformly from $(0, f(x_0))$, defining a\n", + " horizontal “slice”: $S = {x: y < f (x)}$. Note that $x_0$ is\n", + " always within $S$.\n", + "3. Find a hyperrectangle ($H = (L_1, R_1) ×···× (L_n, R_n)$) around\n", + " $x_0$, which preferably contains at least a big part of the slice.\n", + "4. Draw a new point ($x_1$) from the part of the slice within this\n", + " hyperrectangle.\n", + "\n", + "The implementation uses estimates (``width``) of the relative scales of the variables to randomly position a hyperrectangle with such dimensions uniformly over positions containing $x_0$ that lead to $H$.\n", + "\n", + "When a sample is rejected, the algorithm shrinks adaptively the hyperrectangle. Specifically, only the axis corresponding to the variable $x_i$ is shrunk, where $i$ maximises: $(R_i - L_i) |G_i|$, with $G$ being the gradient of $f(x)$ evaluated at the last rejectedvsample. By multiplying the magnitude of the component $i$ of the gradient by the width of the hyperrectangle in this direction, we get an estimate of the amount by which log $f(x)$ changes along axis $i$. The axis for which this change is thought to be largest is likely to be the best one to shrink in order to eliminate points outside the slice.\n", + " \n", + "[1] Neal, R.M., 2003. Slice sampling. The annals of statistics, 31(3),\n", + " pp.705-767." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Problem 1: Unimodal Gaussian Distribution\n", + "First, we create our target Gaussian distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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vv5LISF9uvH48w+LCukT8uTsghGD/gQw+W7mHnNxyInr7cMvNE4kbGtYp/rQ0aXjmyldJ2JDMba9ey4L75nSKH90dRfAVgFYBWPn4t3z7n1+Yeu147v/4dqxtOr6YKi+vgnfe20piUi5BQR7ceP04xo3towi9hTAYjOzYeYqVn++muKSWkSMiuOO2yQQGdny3S51Wx3+Wvsme1Ye48T9LWfzwZR3uQ3dHEXwFAL5c8SOrVvzArJsms+yDWzo87bK5WcsXX+5l9c9HsLe35dqrxzB/3hBsOuGm0xPRavX8/MsRvvx6P3q9gauuHM4/l4zq8LRWg97Ai9e+zY5v9yk7fQvQHsG36G9ekiQ34BOgPyCAG4QQByy5pkIr37/0G6tW/MC06yZ0itgfPpLDa29spLS0jlkzBnLTjRNwc+saRVJCCCobmiisrqOgqpaimjoqG5qoamimqrGJ+hYNzVodzVo9Gv2fG6GpbWywV9lgr7LFxU6Nh5MDHo4OeDo7EOjuQqC7K0HuLrg72nf6E4xKZcPiq0YwZXI/PvpkJ199vZ+dO09x/30ziY0N7jA/rG2sefiLu9HrDHxw/xfYqm2Zd8f0Dltf4f+x6A5fkqQvgD1CiE8kSVIBDkKImnO9Xtnhm4f1H23hjds+YsLi0Tzy5d0d2hOnobGF9z/YzsbfU+jVy4P775vJwAG9Omz9v6I3GMkorSDlTDFpxRVklFaQWVJJXYvmT69zUNnieVa8ne3VraJua4va1ua/m2Wi0elp1rXeDGqbWqhubKKysZlmre5P9lzt7Yj08yTS14s+/t7EBvvT28cD604sbktMyuW1N36nuLiG+fOGcMtNEzq0vkGv07Ni4SscWpfEI1/ezaQlYzts7e5MlwjpSJLkAhwDwsVFLqIIvuns+vEAzy1+nWEzB7Hil4c6dFjJ8dQzPP/CWsrL67nqyuFce/WYDg8f6A1GThSWsj8jj4TsAo4XlPwhxs526j9EuLePR+tu3MMFfzcXHNWmCV+jRvvHE0NhdS1ZZVVklFSQUVpJo0YLgKNaxcBefsSH92JUZDB9A3w6/AbQ3Kzl05W7+eXXIwQGuPPYo/OI7uPfYetrW7Q8Nut5UveeZsWvDzF81pAOW7u70lUEfxDwEXASiAUSgWVCiMa/vO4W4BaA4ODgoXl5eRbxpyeQuvcUD015mqhhvXlh03LsHNQdsq7BYOTrb/az6qt9+Pm58ujDc+kX03FVlg0tGnan5bLtRCb7MvKob9EgSdDHz5vBIQEMCvYnNsSfIHfXDg+zCCHIr6zhaH4xx/KLSc4rIr2kAmh9ChgTFcqU/hGMiQrFoQN70Bw9lscLL66nsqqBm24cz6IF8R2WwtlY18SDk57izOkiXtv9dKcX/13qdBXBjwMOAqOFEIckSXoTqBNCLD/XNcoOXz6FmcXcM/LfOHs48db+5zqsl0l1dSPPPr+G5KN5TJncj3vvmYZDB9xoNDo9209lsTb5FPsz8tEZDHg6OTAhOpxRkcEM7x2Mu2PX7NNeUd/Iwawz7M/IY3daDtWNzahtrBnbJ4w5g6IZHx2OqgMOtuvrW3j51Q3s3ZfOiOG9efThuTg721l8XWjt5XT3iMfQ6wy8ffB5fHp5dci63ZGuIvh+wEEhROjZ/x4LPCKEmH2uaxTBl0djXRN3j3iM2vI63tz/HEGRHfOInp5RwhNP/kxNbRPL7p7KjOkDLb6DPl1czg+HUth4LI26Fg1+rk5M6x/FlP4RDAr279QYuRz0BiNJeYVsTc1kU2o6FfVNuDnYMWdQNIviBxLha9lqaCEEv/6WxPsfbsPHx4VnViwgLLRjht7kpOZz75jHCejtx+t7numwJ9LuRpcQ/LOO7AFuEkKkSZL0FOAohHjwXK9XBL/9GI1GnrzsJQ7/fpQXtywndny/Dll3x85TvPTKelxdHHh6xRVERfpZbC2D0ciOU9l8tS+ZwzkFqG2smdo/kvlDYhjeu9clJ/LnQm8wciAzj18TT7LtZBY6g4FREcEsHTWYcX3CLBpyST1RwJMrfqGlRcdjj8xl9KiOmYlwaEMSy+e+wITFo3j0q2Wdntl0KdKVBH8QrWmZKiAbuF4IUX2u1yuC337acu3vfuemDkl1E0Lw7XcH+eSzXQzoH8STT1yOh7tl2jToDAbWJp/iox0JnKmqJdDdhSUjB3F5XD9c7Tsm9NBZVDc289Ph43x74BildQ2Eebtz28ThzIztY7EbXHl5HU889TPpGSXceccUrrjsojTEZL574Rc+fewbbn3lGhb+a26HrNmd6DKC314UwW8fSVtTeGT6s0y5ehwPrrzT4rsjg8HIO+9u5be1SUyeFMNDD8xuHfJtZnQGA2uSTvHRjkMUVNfRL9CHmyfEMymmd7fZzV8sOoOBLamZfLwzgfSSCkK93Ll1YjyzB0Vb5L1oadHx3Atr2Lcvg8VXjeCmG8Zb/DBXCMGKha9wcG0ir+1aQczIPhZdr7uhCH4PoLK4mtsGPYCrtwtvH/oP9o6W3fHqdAae+88adu9J48pF8dxy00SzC4EQgt1pOby8YTc55dX0D/LljskjGNdH6bdjNAq2nczk/e2HSCsuJ8rPi4dnj2dEhPkLqAwGI2+9s4W165KZNrU/D94/y+LdNxtqGrl96EMYdAY+OPpyl5q81tVRBL+bYzQaW3OZ95zi3cMvEBJj2cImrVbPU0//wsFDWdx+6yQWLYw3+xrZZVW8sG4n+zLyCPVy5/6ZY5nYN7zHC/1fMRoFm1PTee33vRRW1zEppjcPzhpHsKd5ZwcIIfjyq318vmovEyf05dGH51i8JUbakSzuHf1vRs6LY/kP9yu/+4uky7RWULAMv761kcTNx7jnvZs7ROyfeOpnEg5nc9+y6cydM9i89vUGPtpxiI93HcbB1paHZ49n8YjYDklLvBSxspKYMbAPE/v2ZtW+JD7akcBlb6zi9skjuH5sHDZm2olLksQ1V49BbWfLhx/twGAwsvzf8y260+8T15vrnvkHnzzyFb9/tp2ZN0622Fo9FWWHf4lRkFHMrbH3M2TKQJ7+7WGL7oL0egMrnv2VffsyuP++mcyeFWtW+6kFJTz+02YySiuZHRvNw3PG4+nUNfrt6IwGGnVamg1/bpngYGOLo40amy5yllBW18Bza3aw9UQm/QJ9eGbBNPr4mzet8sfVCbz/wXamTO7HIw/NsWhM32g08tCUp8lIzObj1NeU/PyLQAnpdFOMRiMPTHyK7JQ8PjnxOl4BHhZcS/DCS+vYuu0Ed91p3owNg9HIRzsSeH/7QTydHHjysilM6Nux1ZYNOg2ZdRWk15aTWVdBcVPdHz812mZaDPrzXm9vbYu72h4/exf8HVwIcHQhwtmLKFdvIly9cLDp2Bm8m46n8+xv26lr0XDvtNFcO2aoWYX562/28+nK3cybO5hld0+z6EajOLuUWwbez4BxfXlu/WNKaOcCKCGdbsr6D7dwfM8p7v/0DouKPcCnK3exddsJrr9urFnFvry+kYe/38ihrDPMjo3m8fkTcbFwiqUQgtyGag6X55NYcYbEigJy6qv++HO1tQ0BDq3CPdI3FE+1I062Kpxs1dhb2/6peVqzXkeDXkO9VkOVtonipjpOVJewpTANrdHwh80IFy+GeAUx1CuIeO9ggp0s24t++oAo4sN78dQvW3ll4x4OZxfw/KLpuJmp2njpklE0Nmr47odD+Hi7sOQfI81i9+/wD/flhueX8N69K9n+zV4mL1WarJkLZYd/iVBRWMmN/e6jz7AIXty83KK7njVrk3njrU3MnTOYe+8x324uMaeAf327noYWLY/Pm8TlcZYrEtMZDRwsy2N7UQY7i7PIb2gt/3BX2TPEK4hYzwCiXL2JcvUhyMHV5BRHg9FIfmM16bXlpNeWc7SykKSKQup0LQCEO3sywb83EwIiGO4dYrGQkBCCbw4c4+UNu/F0cuD1pXMY2Ms8RXFCCJ5/YS3btp/ksUfmMmWy5X5/BoOBe8cspzirhM9OvdlhrUIuRZSQTjfkuSVvsP/XBD5KeZXACMu1TkhKyuWhR78nflg4z6xYYLZDul+OnOCpX7cS5O7KG0vnEOln/tisEIKUqiJ+yU1l/ZmTVGmaUFvbMMonlIkBEYz0CSXM2aPDQgRGIciqq2B/aS47ijM5VJaH1mjAy86RecH9mB/Sn37ufhbxJ7WghH99s56K+kaeXzSdGQPNk9uu1ep55LEfOHGykNdfWUKMBZvk5RzP4/ahDzPj+onc++GtFlvnUkcR/G7Gif1p3DvmcZY+voDrnl5ssXVKSmq47c4vcHd35N23rjZLEzSjUfDWln18vPMwIyOCeW3JbLOHcJr0Wn7NTWVVxmEy6ipQWVkzJTCK+SH9GeMbhp1Nx8/w/Tua9Fr2lGTza24qO4oz0BmN9HXz4drIYcwN7md2P6sbm7n7yzUk5xWxbNpobp4wzCw3l7q6Zm6/6wu0Gj0fvHcdnp5OZvD273nv3pX89s5G3kt8id6xoRZb51JGEfxuhBCCe0Y+RkVhFZ+dftNiBVZarZ677/2SoqIa3n/nWoKCTD8j0BkMPP7TZtYdPc3CYf15fP4kbM04jKVK08RnaYf4JiuJWm0L/dx8WRoxlFm9+uKs6tqtF2o0zaw/c5KvMhNJry3HQ+3A1RFDuS4qHhcz+q7R6Vm+egvrj51mUfwAls+fZJYK3eycMu6650siI3x57ZUlFkvXrK9u4LqoewiPDeGlLU8oB7h/g3Jo243Y/eMBTidkcv+nd1i0mvbDj3eQkVHKMysWmEXstXo9D3y7gW0ns8y6uwSo17bwafohVqYl0KjXMj0omuuj4hnqFXTJCIKb2p6lEUNZ0nsIB8ry+Dw9gTdP7GFl+mFujh7BtZHDcLQ1PdNHbWvDi1fNIMDdmY93HqZZq+O5hdNNztcPD/PhX/fO4PkX1vL5qr3ceP04k339O5zdnfjn8oW8d+9Kjmw6yrAZ5q0D6WkoO/wujF6n54a+92LnqOb9pJcsNqpw3/4Mlj+5moULhnHHbaYXu2j1epZ9tY7daTk8NncCS0eZ50tqMBr5OiuRN1P3UKNtZmZQNMv6jyPStWPa+Vqak9UlvJ66i+1FmXiqHbl/wHgWhQ/Cykw3sY92JPDm5n1MHxDJS1fNMkuR1iuvbmDjphRefnExQwaHmu7k36DT6rip332oHdR8kPxyh89n7uq0Z4evvHNdmM2f76Q4u5Qb/7PUYmJfU9PEa69vJKK3DzffOMFkezqDgQe/28jutByevHyy2cQ+paqIK7auZEXSZvq5+/Hb1Bt4Z/SCbiP2ADHufnw89ip+mnwdYc4ePHZkA1dtW0VaTZlZ7N8yMZ4HZ41j0/EMHv9pE0aj6Zu9u+6cSlCQBy+9soGGxhYzePm/2Kpsue6Zf5BzPJ9dPxywyBo9BUXwuyg6rY6vn1tN3xGRxM+03GPsm29vpr6hhUcenmNy50shBE/+vJWtJzJ5dM4ErowfaLJ/GoOeZ5I2c8WWlZQ21/PmyMv5Yvw/6O/RcXNYO5rBXoF8N+lqXoyfQ059JXM3f8LLKTvQGgwXvvgCXDd2KPdMG8Xao6f5z7qdmPqEb2dnyyMPzqGiop73P9husn/nYvyVIwnt14svV/yAwQzvQ09FEfwuyvZv9lKWX8HVTyyyWFx63/50du0+zbVXjyE8zMdke+9vP8RvSSe5c/II/jna9JtUZl0Fl29ZyecZh1kaMZQtM29jTnDMJROnNwVJklgYFsuWWbdxeegAPji1n6u2f0FewznHSVw0t0yI59oxQ/jmwFG+3Jdssr2+fQO4ctFwNv6eQlJyrsn2/g4rKyv++cQizqQVsf/XwxZZoyegCH4XxGg08uMrawiPDSFu+iCLrNHUpOGtd7YQHubNVVcON9neuqOneXfrAeYPieH2ySNMtvdj9lHmb/6U8pYGPhl7FSuGzujymTeWwF3twIvxc3l31AJy66uZt+kT1uafMMmmJEk8MHMcU/pF8NKGXWw/mWWyn9dePZqAADdef2MTWu3521LIZcwV8QT09uX7l341+cmkp6IIfhckcUsKeScLWPivuRbbzX797QHKy+v5170zTG57e6qojCdWbyYuLJCnLp85ccgwAAAgAElEQVRiks8Go5EVSZt45PB6BnsGsX76TUwMiDDJv+7AjF7RrJt+E1GuPtx74FdeSdmB0QTRs7KSeOHKGfQL9OWRH34nu6zqwhedB7XalvuWzaCwqJqfVltmB25tbc3Cf80l7XAWJw+kW2SN7o6SpdMFeWz282QmZfN13vvYqsxfNFRcXMN1N37MxAl9eeShOSbZqmtu4cp3vkGrN/Dj3UtN6nbZqNNy78Ff2F6UyY1Rw3k41jw54xeDURio0pZS1nKGOl0VjYY6mvR1tBia/vQ6e2tHHGxccLB2xtXWEx+7XrirfLCSOqads85o4KnETXyXncysXn15OX6uSQVbJbX1LHr7a9wd7fnuziU4mPh5W/7UapKS8li18haLFGQ1NzTzj163MWzGIP797X1mt38p0mXy8CVJygXqAQOgv1inejIF6UUc3pjMNU9daRGxB/h05W6sra248YbxJtkRQvD0r9sorqnni1sWmST21Zombtz9Pceri3l66AyWRgw1ybcL0aSvJ6fxBNkNx8lrPE25pgC9+HMrZHtrJ+ysHODsE4sQRlqMTbQYGv/0OhtJhY9dL0Id+xLm2J8wxxjsbSxTfWprZc2zcTMJdfbgxWPbqGxp5MOxV+JsK68q2s/VmZcWz+Tmz37mxXU7WXHFVJP8u+3mSVx/08d8vmoP99830yRbf4e9kz2zbprM6jfWc+srlXgFepp9je5MRxReTRRCVHTAOt2C9R9txdrGmlk3T7GI/czMUrbvOMnSf4zE28u0hlTrj55mY0o6y6aNZlBIgGw7VZomrt7xNdn1lbw3egFTAy0z07RWV0lqzX6O1+7jTFNrSMBWUhPs2IcRTrPwteuFt10v3FXe2Fs7Y32OXbtB6GnS11OtLaNMU0BZSz7FLbkkVG5mf8U6JCSCHaIZ4Daa/q4jcbY1b6dMSZK4OXoEvvbOPHhoDdfu/IYvxv9D9hnHyIgQbhgXx6e7jjA+OpxJMb1l+xYY6M6c2YNYszaZqxYNN0sR31+Zc9s0fnx1LRs/3c7VTywyu/3ujEVDOmd3+HEXK/g9PaSj0+pYHHgrsRNieOLHByyyxr+X/0TqiQK+XnUbTk7yD0HL6xqY+/oqInw9+eKWRbJDL/U6DUt3fEVmXQUfjVnEGD/z9sUXQpDRkMy+8rVkNaQgEPjbhRHjOpzeTgMItI/Axso8T1J6o44zTelkNRznZN1BSlvykbAiynkwo73nEe7Y3+xnMlsK07h7/88M9Ajgi/FLsJcZ3tHqDfzjvW8pr29kzX3X4uYg/7NRVd3IP6/5gNGjIvn3o/Nk2zkfj8x4lvxTBXyV816PL8TqSoVXAtgsSVKiJEm3/N0LJEm6RZKkI5IkHSkvL7ewO12bhA3J1FXWM/36SRaxn5VVyoGDmSy8YphJYg/wn3U70ej1PLdwmmyx1xj03LHvJ07XlPLuqAVmFXuD0JNUtYO3M+7ji5xnKdOcYaLPIu7r8w53Rb3KJN8rCXHsazaxB7CxsiXMqR9T/BZzT9Qb3BP1BuN9rqCwOYvPsp/kvcwHOVa9B6MwXx751MA+vD7iMpIqClh24Bf0RqMsOyoba55bNJ2apmZe3bjbJJ883B2ZP28IO3aeorDQ9DTSv2P6dRMpP1PJsZ2mZSz1NCwt+KOFEEOAmcCdkiT9T8MNIcRHQog4IUSct3f3qZqUw7avd+Pm40rcNPOOEmzjm+8O4uCg4rL5psXH96TlsOl4BrdOHE6Il7xwhRCCRxLWsb80lxfj55o1Eyez/ihvp9/H6oK3AVjY627u7/M+k/0W46WWH3pqL752wUz1W8ID0R9wWeDtaI0afjjzOu9mPEBOg/mEamavvqwYOoNtRRk8mfi77JTFaH9vrh0zlJ+PnCAxt9AknxYtGIa1tRXf/XDQJDvnYtT8OByc7dn21R6L2O+uWFTwhRBFZ/9ZBvwCxFtyvUuZ5sYWEjYkM27hCKwtMMC7vLyOXbtPM3vWIJyd5e/udQYDL63fTbCnGzeMk38G/2naIdbkn+CBARO4PHSAbDv/TY22gm/yXmJlztMYhIGlIY9wd+TrDHafaNadfHuxtVIxzHMqy6LeZHHw/bQYGvkkezk/5L9Bnc60dMg2lkYM5fa+o/guO5nvs4/KtnPH5BH4uTrx4rpdJrVe8PBwYvq0AWzZeoLa2qYLX9BO1PZqRl02jP2/JaDXWSbvvztiMcGXJMlRkiTntn8HpgGpllrvUufwxmQ0zVrGLbTM6Lg1a1srKi+fP8QkOz8lpJJdXsWDs8ahknljSijL56WU7cwIiua2vqNM8qeNlJq9vJW+jPS6JKb4LuGeqDeIcY3vUlW5VpIVA9xGs6zP20zwWUhq7X7eSr+Xk7UJZrF/X//xjPULZ0XSJo5XFcuyYa+y5d7pYzhRWMq6o6dM8ufy+UPRavWs33jMJDvnYuyCEdRXN3J0hxLWuVgsucP3BfZKknQMSADWCyF+t+B6lzQH1yXi7OFE/zHRZrdtMBjZuCmF4fG98fNzk22nRafnwx2HGBoayESZQ8frtS3cf+g3ghzdeCF+jsmCrDfqWFP4Md/nv4avXTD39HmTib4LsbXq2CHi7UFlpWaq3xLujnwdd5UvX+e9wO/FqzCYGNu3trLi9RHz8VA78K+Dv9Gs1134or9hdmw0fQN8eG/bQfQGeWcCAGFh3sQO7MX6DcfM0qjtr8RNi0Vtr+Lg2p6b6NFeLCb4QohsIUTs2Z9+QojnLLXWpY7BYODwxmSGzRhkkXDOoYQsqqoamTnDtGZmPyUcp7y+kbumjpQt1CuSN1PaXM9rI+bLzh1vo0FXwyfZj3OociOjveZyU+9n8FD5mmSzI/G2C+SW3s8R7zGdPeW/sjL7KZr09SbZdFc78NLwuWTXV/LisW2ybFhZSdwxeQRnqmpZm2zaLn/mjFiKi2tIOZ5vkp2/Q2WnYvDkARxan6i0WrhIenY+Uxch/Ug2NeV1DJ9lWrjlXGzekoq7mwMjhsvPr9YZDKzck0hcWCDx4b1k2dhdnMUvuce5ve9oBnmaNgu1VlfJx9nLKWnO5x8hDzIr4HqspUtvno+tlYr5QbeysNc95Del8Vn2UzTqa02yOdo3jOuj4vkyM5Ej5Wdk2ZjYN5y+AT58tvuISbvzcWP74OigZvMWy0Rzh88eSkluOfmnTTtk7ikogt8FOLLpKJIkMdQC2TkNjS0cOJjJxAl9TeqZsyU1k5Laeq4dIy/DR2PQ81TSJkKdPLgjZrRsPwBqtOV8krWcel0V14U/QX9Xy5x7dCSD3SdwdehjlGsK+STrCep1pqUz/mvAePwdXHgq6XdZqZqSJHHdmCFkl1exJz1Hth92draMGRPFnj3pFmmqFje99TuTuMky5wTdDUXwuwDJ248TMSQMVy8Xs9s+cCATnc7AxIkxJtn55sBRgj3dmBAtL3b/dWYieQ3VPDFkGmpr+TvxRn0tK7NX0KSv4/rwJwl17CvbVlcj0nkQ14Y9To2unM9znqb5Ly0c2oODjYrHBk3hVE0Zq3PkieH0gVH4ujjxzQHTxHTSxBgamzQcPiL/xnEu/EJ9CIz0J2lbitltd0cUwe9ktBodpw9lEju+n0Xs79ufgaeHE32j5eefZ5VVkpxXxJXxA7Cyan/svkGn4f1T+xnlG8p4f/lhJb1Rx9e5L1Kjq+CasH/TyyFKtq2uSrhTf5aGPES5ppDv81416SB3ZlA0sR4BvH1yLxpD+3fXttbWXBHXj30ZuRTV1Mn2Y/CgYBwd1ew/kCHbxvmIHR9D6t7TymCUi0AR/E4m/UgWOo2OAWPNv1PV6w0cPpLDyJERsoS6jV8ST2BjZcW8IfKeEr7KTKRK08QDAybI9gFgU8kq8ppOs6DXXYR0o539X4lwHsTcgJvJaDjK9tLvZduRJIn7B06guKmOH2Xm5l8R1x+A3xJPyvbDxsaa4fG9OXgw0yLZOv3H9qWxtom8EwVmt93dUAS/k0lLyASg74hIs9s+dbqI5mYtcUPDZNsQQvB7SjqjIkNkdcPUGgx8kX6YMb5hxJpwUJten8T+ivWM9JzNQLcxsu1cKgzznMoQ90nsKvuZ3Eb5mTKjfEIZ5BHAp+kJGGTE8gPcXRgSEsim46b1n48bGkp1TRM5ueZvn9J3ROuT3umz3yWFc6MIfieTdiQT7yBP3H3l58efi+TkPCQJBsUGy7ZxvKCU4pp6ZgyUFz5Zf+YkZS0N3BQtfwpWs6GR1WfewdcumOn+V8u2c6kxJ+BG3FU+/JT/JlqjvAHhkiRxU/QI8huq2VYkL6QyfUAUGaWVZJVVyroeYMjgUACSknJl2zgXgRF+OLk5kn7E9Mld3R1F8DuZ7GN59D77ZTA3x1MLCA/zwcXFXraNXaezsZIkxss8rP0h+yihTh6M8ZX/lLG15Bsa9XUs7HVPly6oMjdqa3sW9Lqbal0ZO0t/km1namAffO2d+D5b3vzatnbJu0/LP3T18XHB38+VVAuEXSRJIjw2hOyUXLPb7m4ogt+JaDU6zqQVEdZf/g78XBiNgtOni4mJMS3ffU9aLgOD/WS1y81vqCahPJ8FYQNlF2qVtRRwqHIT8Z7TCbA3b+vkS4FQx74Mdp/A3oo1VGvLZNmwsbLispAB7CnJpry5od3X+7s5E+nryZ70XFnrtxETE8jJk0Um2TgXYf2DyU09g1Fmt9CegiL4nUhxVglGg5HgvkFmt11YVE1jk4boPn6ybdS3aDhVVMbI3vJuSL8XnAZgXoj8DKTd5b9gI9ky2fdK2TYudab4LgFgX/ka2Tbmh/THIARbCuXF4kdGhHA0rwitXn4ufZ8+/lRWNVBV1f6bzoUIiQmiuaGFyiLLtGPuLiiC34kUZpQAEBTlb3bbWVmtu8He4fJbDRzLL8YoBEPD5D0lbC1MJ8bNlyBHeecTtbpKUmr2EOcxBUcbV1k2TEEIA8JQjDAUnf0pQYiO30G6qbyIdRvLkaptslsvRLl6E+zoxtYieYI/JDQAjd7AyUJ5TxkAvcN9gP//bJqTwMjW71BhhrymcT0FRfA7kZKc1g++vwmifC5y88qRJAgJkT/z8/iZEiQJBvZq/w2pXqchubLQpD73iVXbMAg9o7xNG7TeHoShHNH0E8aaZYiykYjy8YjyCWd/xiHKR2GsuR/R/DPCaJ7WxhfDaK956ISGozW7ZF0vSRITAyI5WJaHVka++qDg1s9AypkSWesDhIe1zrvIzTP/xFP/3q3foeLsUrPb7k5ces1HuhFl+eWo7VW4eJo2W/bvKCysxsfHBbVafh/408Xl9PJww1Hd/oPSxIozGIVguE+IrLWFEByt3kWYY/8OaYgmjI2IxvegcRWgASsfUE9EUg0C2t5DLUKbBNp9iJa1INkjHG5AcroVSTJtgtiF8LMPIcA+nOTqnYzykncDHO4TzBcZh0mpKiLOu339kLxdnPB0ciCtRH5apaurAy7OdhQUmP9G6RXogSRJlJ+Rn0nUE1AEvxOpKKrCK8jTIj3bCwqrCQo0bYB0RkkFffy9ZF2bVFGAtSQxWGbufXFLLpXaYsZ6Xybr+vYgdCcRNfeBIRfs5iE53gQ2UX/7e5EclrSGdfSnEI0fQeO7CM1WcHsdycZ8U7v+jli3cWws/pxKTQme6vafzQzzbj2LSaosaLfgA/Tx8yKjxLTdeWCgBwUWGHtoq7LF3deV8gJF8M+HEtLpRGrK6nD3tUxsuqysDl8f+b159AYjhdV1hMocYZhWU0a4sycONvLSKLPqW/u3RLlYpoNoG0KzC1G5CEQTkseXWLm9jGTb57w3YUmyQrLth5Xbm0jun4CxAlFxBUJzyKK+9nFubVyX2SCvt42H2gE/e2dO18iLoYd4uZNfWWtSK2IfHxfKy+W3aTgfbr6u1FZYxnZ3QRH8TqS2vA5Xb/M3TNPrDVRXN+LlLT9UVFJbj95opJeHvAPXtNpy+rj5yF4/uzEVb3UQrrbyzyAuhDAUIWqWte7mvdYgqdo/gVNSj0PyXAPWgYiauxAGy+0wvdQBuNp6kd1wXLaNaDcf0mQKfrCnG/UtGmqb5BWBAfh4O1NeUW+R/vVu3i7UlJnWWrq7owh+J9JQ04izm6PZ7dbVNQPgboLt8vrWTo0+Lk7tvlZvNFLUVEuwk7ynA4Di5hyCHMzfbuK/EXXPgTAiub2NZCXfV8naG8n9HRBNiPqXzOjhX9aRJILsIyhpzpVtI9jJnYImeaLo69r6WWj7bMjB1c0BjUZPS4u8aVznw9HNkUYLzM/tTiiC34k01TVj7yy/CvZc1J4VfFMqbCvOfqm9nNvfP6espQGDEAQ4yHt6adLXU6+vxs/O/AVpbQhtAmi2IDndiWRjeh2EZNMbHG+All8QOsuNbva1C6ZSW4zOqJF1fYCDKw06DXXa9u/S23opVTSYIPgurTbq6ptl2zgXjs72NNWZ3253wuKCL0mStSRJyZIkrbP0WpcammYtagfTxvz9HS3NrbsnBwf5bQgaWrQAuNi3379qTesuy0Pd/psFQI2u9WDQ3YLZOaJ5A0j24Hit2WxKjjcDNoiWjWaz+VfcVT4IhOwBKW2/k2pt+4XR2a71s1B/9rMhh7bPZHOz+Xf4KnsVmmb5vvUEOmKHvwwwbTBmN8RoNGLQG1CZkDZ5Llo0rV8mtVp+ElaTtvWL46Bq/02jXte6+3S2lZeq2KivAbBssZVmB6jGmDWdUrJyAdWwVtsWwtGm9UylQeYYxLY5wvUydvgOZz+rjRr5otr2mdRYIKSjslOhs4Dd7sQFBV+SpLskSZIV4JQkKQiYDXwi5/rujNHQWrFpZWP+e67hrG0ba/kjDXVnbdhat98/nbG1sEfuZCudsVVQVFYWzG03FoONBQao2PQBg+WqPVVWrYItN6TT9jvRGttffKU6e63eIL/auG3MpsEEG+fC2sbKIna7ExfzbfYDDkuS9IMkSTOk9iWNvwE8BJzztyBJ0i2SJB2RJOlIebn5e2UrKJwb89c/WMbmf1k3sWbDst4pdHUuKPhCiMeBSOBT4DogQ5Kk5yVJOu+sOkmS5gBlQojEC9j/SAgRJ4SI8/b2vnjPL3GksxOojBbYkVidFQVTdjvWZ/2Ts5uzllo/VjoZu8jW68/uJI0WjMdKbmA4Y367hnwwIePnQrS9J9ZWcp+eWn8nNlbtf3LTm3BtG22fSSsZT44XwmgwmjTZrSdwUe+6aE2aLTn7owfcgZ8kSTpfDtpoYJ4kSbnAd8AkSZK+Ms3d7oO1tTVW1lboNOaPOartWmOtGq38zoZtsfsmXfv9a4sTN+jkhR3aYveNMuPUF4V6PGh2IYT89+ivCNEC2v2tti1EW+zeyUZefYQp5ytNZz+rDiacO2nMcL50LrQtOlR25j8T605cTAz/HkmSEoGXgH3AACHE7cBQYMG5rhNCPCqECBJChAKLge1CiH+ax+3ugcrOFq0Fsgrs7Vs/9M0m2HayaxX8BhkZGW6q1nTQtmyd9uJi29oSoi1bxxJIdlNB1ECz/JbD/0PTDyCakdRTzWfzL9SefU+cbeQ9RbRl57iq2i/49S2tNws5B/lttGXn2FkgWUHbosPWrucMyJHDxdxmvYArhBB5//0/hRDGs2EbBZk4uDjQVC+/avFcOJ/N7a83wXZbznVlQyOtH4GLx9feGQkobpJX5u5s4469tROlLXkXfrFc1FPAdjCi4SWwm4RkZdqISWEoQzS8AaoxoBppJif/l5KWfNxsvVFby6uxKG6sw87aBndV+6+vbGi9gcupzWijLf/elBqRc9FU34SjBex2Jy4mhv/EX8X+v/7sotIthRA7hRDKzeEvOLo60FArv4jlXLie/dDX1MivOvRyaq3SLatrv38qa2t87Z3Jb6yRtbYkSfjZhVLYnC3r+otbwwrJ5Skw1iBqH0YI+U9DQmgQtQ+C0CC5PGGRZnhtFDVn42cnrwMpwJnGGgIdXGX5WP5HMZ78Cu7amiZsbKxMqhE5F421TTgogn9elErbTsTVy5m6CnkDLc6HSmWDi4s95SbYDnB3RpKgoEpeHD3S1Zt0mT1bAMIcYyhuzpY98ONikGz7IrksB80ORNUShD6/3TaEPhNRuRC0B5Bcn0WyCTW/o2ep0VZQoSkkzEn+BLG02jIiXeUlR5yprMXO1gYvJ/k7/PKKery8nC1yU7RUb6ruhCL4nYibjyvVpfJ2wRfCx9uZsjL5nQNVNjb4u7qQWyGvojPazYeMugpZwzYAIpxjEQjZnSEvFslhKZLb26DPRVTORzS8jzBe+H0TxnqM9W8iKq4AYzmS+0dI9pdb1NeM+tYh5BFOsbKub9BpyG+oJlpmU7u8ymqCPd1MEuuy8jq8TWjqdz5qyhTBvxCK4Hcinv7uVBRaZmpSQIA7hSbajvT1lN3/fJBHIFqjgdRqeUVIQQ5RONm4kVKzV9b17UGym47k9RuoRiAa3kSUxWGsugbR8CFCm4DQJrf+aA4hGt7HWLkUUTYcGt8Fu4lInr8hqSdY3M+Umj14qvzxlRnSSaooQIDsGQUZJZX09jGte2lhYTWBAeZPWzUYDFQWV+MVYNoMiO6OMgClE/EJ9qKprpnG2kYcXc3bNTMo0IN9+zPQ6w1/VDe2lz7+3uzNyEWj06O2bd9HZdjZARsJ5fkM8Wp/czJryZpBbuM4ULmBRn2txWfaStaBSO7vI3RpiJbfQLMX0fDq37/Yph843oBkNwPJtr9F/WqjRltOTuMJJvleJXuHnVCej41kJev3UdvcQlFNHVeNGChrbYDGRg1VVY0EBZlflKuKazAajPgE95xaHjkoO/xOxDe09dG6OMf8Q51DQjwxGIycMWGcXP8gXwxGwcmi9vvnaedIXzcfdhZnyl5/qMcUDELPwcrfZdtoL5JtH6ycH8LKaw2S9z4k98+Q3D89+7MSyecgVl6/YOX8QIeJPcD+inVISAxxnyjbxs7iTAZ7BcoaSpOS3zrLtn+g/IZ2bbNsQ4LNP+OgbZatb6gi+OdDEfxOJDCydUxdYbr5e6/07t16M8nOln8zGRwSAEBibqGs66cERpFYUUBli7xMJB+7IKKd4zhYsQGt0fzpqxdCsvZGUo9BUo89+zMayarjQwbN+gYOV21hgNsY3FTyBK2gsYZTNWVMCZDXPygprxBrK4mBwe0faN9GVlbrZ7F3uPzBOOeiMKP1OxQUKd+/noAi+J1IYKQ/kiSRf0qeoJ6P4F6eqFQ2pKWXyLbh4eRAuI8HhzLbn70CMD0wGqMQbDwjv1nqOJ8raDLUs698rWwblzq7yn9GZ9QwzoT5vuvyTwIwNaiPrOsPZZ6hX6AvDir5BVPp6cU4O9vha4GxnvmnCrFV2+ITLG8Gc09BEfxOxN7RDv9wH3JOyBPU82FjY02fKD9OnjTtZjImMpTDOYU0advfYqGvuy/Rrj78lJMie/0Qx2j6uY5gV9lqqrXmD311dcpbCthXvpbB7hPxsw+VZUMIweqcFIZ6BREiYwpZdWMzKQXFjImSt34bJ04V0Tc6wCIpmTmp+YTEBGEt87yqp6AIficTNjCErKO5FrHdLyaQ9IwSk1osjI8OQ2cwsD9DXtXrovBBHK8uJqWqSLYPs/xvQJKs+KXgPYyi57S/NQg9qwveRm1tz3R/+V1JDpTlkV1fyZVhg2RdvzstByFgbJ8w2T7U1jaRl1dBv37yMoTOhxCC7GO5hA203IS07oIi+J1M1NDeFGWW0FBj/orbwYNC0OuNpKYWyLYRFxaEu6M9v6eky7p+QdhAnGzVfJp2SLYPbiovZgfcQFZDCvsrek5oZ0fpT5xpymB+4G2ym6UBfJp2EE+1I3ND5BVsbUpJx9/NmQFB8g9sk4+2PsUOGRwq28a5KC+opLq0lqih523gq4Ai+J1OdHwEAKcT5GeznIsBA3pha2vNkcQc2TZsrK2Y2i+CnaeyZE06crZVszh8MBvPnCKnXn7G0FD3ycS4DGdzydfkNXb/AWoZ9UfZWfYTg90nMsBtlGw7p6pL2VmcxdWRQ2UNpKlubGZfZh4zBkSZFIpJTMrB0UFNdB/zH6qmnf3u9BkWYXbb3Q1F8DuZ6OGRWFlJpO41v4jZ2dkyeFAI+w9k0trhWh6XDe1Hs07PxpQ0Wdff1Gc4Kisb3kzdLdsHSZK4IuhO3Gy9+TrvJSo1lpsq1dmUtuTxXf6r+Nj1Ym7ATSbZei11Jy62dlwbOUzW9WuST6E3GJk/JEa2D0aj4MDBTIYNC8PaAn3wj+85hdpeRYQFnh66G4rgdzIOzvb0HhxGyu6TFrE/cmQEhUXVf+RAy2FgLz8ifD354dBxWTcOb3snrosaxtr8E6RWyRdqexsnrg59DCGMrMxe0S0PcctbClmZ/Qy2koqrQx+V3RUT4HB5PtuLMrm170hcZLRDFkLwU8JxYnv5E+knP/vl9OkiqqoaGTUyUraN85Gy+yR9R0Ria0IGUU9BEfwuwOBJAzh1IJ2ms61jzcnY0VFYWUns2Cn/CUKSJBYPj+VEYSnJefIOX2+JHomH2oGnkjZhNOFpw9sukGvDltNsbOSTrMe71U6/tCWfT7KXY8TA9eFP4K6Sn6+uNxp5KnET/g4uXBMZJ8vG3vQ8ssurWGxCdS3A9h0nsbW1ZsQI88fYq8tqyTqay6BJA8xuuzuiCH4XIG56LHqdgaM7Us1u28PDicGDQti2/aRJYZ35Q2NwsVfzxd4kWde7qOx4OHYSyZWFfJ+dLNsPgCCHCG4MfxqtUcPHWcspsmAb5Y4ivzGNT7KeQELi5vBnZPfLaWNlegKna8t4fNBUWZW1AF/sTcTHxZEZA+Xl7kPrSMMdu04zckQETo7mH0qftKU15TduurwMpJ6GIvhdgH6jo3FwtidhvTwxvRBTp/SnuLiGYyny8/0dVLYsGTmIrScySZfZUG1B6EBG+Yby/NGt5DXI68LZRoB9GDf1fhorSeLDzEc5XLnFpBtaZ4gknQIAACAASURBVCGEYH/FOj7Oehw7a3tu7v0s3nbt73Xz36TVlPHa8Z1MCYxiusxCq+S8Ig5k5nP16CGoTMhtP5SQRXV1I1Mmy2/pfD4Ork/EzcdVid9fJIrgdwFUaluGTB1IwsZki4jWuLF9cHRQs/F3+QVQAFePHoKTWsV72w7Iul6SJF6Mn4uNZM39B3+TPeS8DV+7EO6MfIVQxxh+LXyf1QVvozGYPyxmKZr1DXyX/yrriz4jymUId0S+gqfatCwWjUHP/Yd+w9nWjufiZsnOrHlv6wE8HO1ZPEJeK+Y2Nv6egru7IyOGmz+cY9AbSNx0lPhZg7G2VgquLgZF8LsIw2cPpbygkowk84cn7OxsmTK5Hzt3naa2Vv4ULDcHO64ZM4QtqZkclRnLD3Bw4Zm4mSRXFvJyyg7ZvrThaOPKtWGPM8nnSo5W7+LN9GWk1h7o0rt9IQRHq3fxRvo9nKw9yHS/f7I05GHsrU3vmLoiaROnasp4MX42Xnby7O1Lz2N/Zj43jh9mUiuF0rJaDhzMZPrU/rI7tp6P43tOUV/dyIjZQ81uu7tiMcGXJMlOkqQESZKOSZJ0QpKkFZZaqzswal4cVtZW7Fktv0DpfMyfPwSdzsD6DaYNFLlu7FC8nR15cf0ujEZ5ojonOIarI+L4NO3QHz1eTMFKsmay32Ju7v0c9taOfJv3Mp/nPE1Zi/yCM0tR3JzDJ9nL+fHMm7jaenFbxIuM87kCK8n0r+L3Wcl8n32U2/uOYmKAvIwYg9HIyxt20cvDlSUjTdvdr1nbelYzb94Qk+yciz2rD6K2VxE3Q4nfXyyW3OFrgElCiFhgEDBDkqQRFlzvksbF05lBk/qz8/t9FtmdhoZ4MXRIKD//egStVi/bjqNaxbLpo0k5U8KvSSdk23ls0BTivHrx4KE1HCozz7Dy/2vvvsOjLPY2jn8nvfdAGkkIJXRD7x2kSZEiiIgigih6xC72giioWFEEQVQ6SpMOJvQeIEBCQktCSCG9l81u5v0j4GsBxOxuNmU+15XrmMPuM7OE3Ds7z8xvAuyb8FSjT7jP53GuFV7kywvPsjL+YxIKLxrk+hUlpSSu4Dw/x87m64svkFqcwAjfJ5nW8CN87Qwz1bEn+RJvhW+nu1cQz7XoWeHrrDh8movXM3h+UHesLCp+XEZBQQm/bT5F1y6N8DJCsTSdVsf+X4/QYXBrbI1wM7imMlrgy3L5N761vPFVdT9nVwH9HupBSmwqkYcqtsHp3zw4rhOZmQVs26HfXP7w1s1oE+jDx1v3kZFfsSkiK3NzFnQbjb+DK1MPrCUqq+JVPf/MXJjT2WMwzzeZT3fP+7mUF8GCS6+w6PIbnMk+gKasxCDt3I0SXRGns/by3eWZLLr8OlcLY+hd5wGeD55Pe/f+BhnVA5xKT+Tpg+sIdqnDV11GYm5WsesmZefyxc5DdG8cSP/m+u1a3fTbKfLzSxg/rrNe17md8F1nyLqeQ9+Hehjl+jWVUefwhRDmQojTQCqwS0r5j/kKIcRUIcQJIcSJtLQ0Y3anyus2sgM2dtbsXLrHKNdvHRJAs2a+rFx5RK9RvpmZ4J37+1GoKeX9jb9X+BOJq7UdP/R8EAcLKx7Zu5ILOYb7+dtbODPAewIvN13EYO9JZGvSWH11Hh9GTWJ1/DzOZh+iQFvxM39vJ780mzPZB1gZ/zEfRk1ibcIXFGhzGeozhZeaLqSf1zhsLRwM1t65zGQe27cKT1sHlvQYi6OldYWuI6XknXW7QUreHNFHrzIKRUUa1v56jHZt6xNshFIKADt/DMPRzYEOg1sb5fo1lVGPOJRS6oAQIYQLsF4I0UJKee5vj1kILARo165drf4EYOtgS6+xXQhbdYAnPnnY4MceCiF47JHuvPjKKjZtPsXokRXbbg/QoI47z/TvwmfbD7Dp1PkKb733sXPi514P8VDYMh4KW8bSng/S3NWrwv36O2tzW7p6DqWzxxDiCiI5k32QyJwjnMkpPyu3rk0AQfbN8bINpI51PerY1MPG3O6url2kKyC1OIHU4gSSi2OJzY8ktSQBAAcLF9q69aWlSzf87YINNpr/s/D0azy+bzWOltb83Gs8HjYVfyNZcTiCgxfjeXN4H3xd9ZuC+eXX42RnFzLpke56Xed2sq5nc3D9MYY9NVDtrv2PKuVMWyllthBiDzAQMPzuohrkvmn3sv2HMHb9vI8RTw8y+PXbtAmkTesAlq84xMABLfXaDDOpe1v2RcfywaYwQvx9CPCoWEXHICd3VvSZwMQ9Kxgftoz5XUbSzSuowv26FTNhRpBDS4IcWjLUdwqJhZe4UnCWK/nnOJH5O6Xy/6d6bMztsTd3wt7CCWtzOwTlo12JpFhXQKE2jwJdLsW6/69wamVmQ4B9U1q79qS+Q0t8bYMwE8ZbKrgrMYbnDm+krq0jP/Uaj699xUP6Qko6n27bR4/g+oztqN+u2uzsQtasPUbXro1o2tRHr2vdzrbFoWhLdQx5or9Rrl+TCWMtXxNCeAKlN8LeFtgJzJFSbr7dc9q1aydPnDhhlP5UF1JK/tfldfIy81ly/nPMKjgfeycXLqTw5NNLeWBMR56YUvEzUqF83nf0l8vxcnFk+bSx2Oox4kouzGXyvtVcyk3jvbaDGNegcj6ul0kdWZo0UouvkqFJJkuTestQB4GtuT12Fk7YmzviZOlGHRt/6tjUw8XS0yij+L+TUrL0wnE+OL2Llm7eLOr+gF4j+/ziEsbOX0l+SQm/PDMBT0f9PlV+9vl2tm4/w+KFk/E3wtm12lItE+o/RUAzP+bsfMvg16+OhBDhUsq7qp9hzBG+N/CjEMKc8nsFa+4U9ko5IQT3/28wHz70Bce3n6bjYMMvaWvc2IsB97bk13XHGTLoHvz8Kn5Oq4+LE3PGDuTJHzfw9rrdzBk7sMLzv952TqzuO5H/HVrH6ye2EpmVwush/bCxMO7HdjNhjru1F+7WhptKMoaCUg1vn9zO+rizDPAL5tOOw7HV4+9GV1bGq2u2k5CZzZLHR+sd9pcvX2fLtghGDG9rlLAHOLDuKBlJWTz33RNGuX5NZ8xVOmeklK2llK2klC2klO8Zq62apvuojnj4uvHLp5uM1sbkST2xtrbksy926L0MtHtwfZ7p34UtEdF8G6rfPgJHS2sWdR/L48GdWHH5JCN3L+WiAW/mVleRWSkM37WYDXFneaZ5N77uMkqvsAeYt/0AYeev8MqQnrSrr185B52ujE8/346Tky0TJ3TV61q3I6VkzSeb8G3kTftB6mZtRaidtlWQpZUlI2fcx+mwSGKOG/5gFAB3dwemTO7FqdPx7Nh5Vu/rTe3VgeFtmjF/92F+O6VfbX8LMzNmhvRlcY+xpBXnM2LXEn68cBxdWe053vCm0jIdC6MPM3r3Ugq1Gpb1nsCMFj0x0/Nc2FVHIli6P5zxnUN4qIv+4bnxt5NERycz/cm+ODlVvKTznZwOO8fF8CuMeWGoUaY6awP1t1ZFDZ7SF0dXe5bN+sVobdw3JIQWzf2Y/+3vpKXpt0RRiPKlmh2C6vHGLzvZc17/EhG9vBuydcAU2nv6896pnYzavVSvevrVzcn0a4zYuYQ5EaH08G7A5gFT6FRHvyqaANvOxDBrUyg9g+vzypCKb9K6KTExi+8X76VD+yD69K74QSl3IqXk5/fW4ublQv+J+ve5tlKBX0XZO9kx+oVhHPktnOhjxtkpamYmeOWlIeh0ZXwyb5veUztWFuZ89fBQgr09eG7F5goffP5nnrYO/NBjHJ91GkFyUS737/6Bd8J3kFFs+DOAq4rUojxeO76FMb//SLamiG+7jmZB19G4Wd/dctE7CY26zKurt9MmwJdPxw/BQs8TqHS6MuZ8vAVzczNeeK7i92/+zanQc5zdd54HZ47EyqZi5Z4VFfhV2ohnBuHs4cji11YYrRiYr68rUx/vxfETsfy6Xv8VUg421iycNJJAD1em/7SRfdEVP0/3JiEEwwKas2vQNMY3aMPyy+H03vIN887uIVdTrPf1q4rMkkI+PP07vbZ8w6+xZ5jcuCM7B03jXr9ggwTpjrMXeG75Zpr61OGbR4brtaLqpuUrDnEu8hrPTO+Pp6eT3te7lbKyMpa8thxPP3cGT+lrlDZqCxX4VZidoy0T3hrD6dBzHNum36EhdzJ8WBu6dmnEwkVhRMfoP2XiYm/LD4+PpmEdd55ZtokdZy8YoJflh6i823Yg2wdOpad3A+ZHHaTn5vl8enYPqUV5BmnDFJIKc/ko4nd6b57P4pgjDPJrys7B03itdT/sLQ0zmt0QHsmLK7fSsp4XiyaPxMGmYjty/+x0RDw/LTtIv77N6d/POPXuAfauOUzM8ctMmvWgGt3ryWjr8CtCrcP/J22plsnNn8PK2pIFpz7G3AhlZgFyc4uY+uQPCAEL5j+Ks7P+0wd5xSVMW7qeiKvJvDS4JxO7tjboR/6orBS+ijzArsQYLMzMGOTXlIcatqWth5/RphYMpUxKjqbGs/xSODsTY5DAIL+mPNO8G42cPQ3WjpSSBaFH+Xr3YTo1qMdXE4frVfL4pvT0PKZNX4qdnTXfffMotrbGCWJNsYbJzZ/DztGWb0/OVTdrb+G/rMNXgV8NHFh/lHdHfcIzXz/OsKcGGK2d6Jhknn1uGS2a+zH3o7GY6zm/C1CkKWXm2u3sOneJsR1b8drQ3nrPG/9dXF4myy6FszY2gvzSEvztXRge2ILhAS2p71jxPQbGcDEnjY3x59gYf46kwlycrWx4ICiECQ3b4mdfsZ3Kt6PRanl73W42nTrPsNZNeXdkP70qYP5xXY2W519cwZXYNOZ/OZH69Q33BvV3qz5az+LXVjBn55u06affLuCaSgV+DSOl5OV+73I5Ip4l5z/HxdPw5WZv2r7jDHM/2crwYW3439P9DTJSLiuTfL7zAIv3nqBzQ3/mjh2Em4P+nyD+rqBUw45r0WyIP8eh67FIoIGjO718GtLbuyFtPPywNq+UaiJ/KNaWciI9gbCkS4QlXyI+PwtzIejmFcSIgJb0922s93r6W0nNzef5FVs4FZ/EM/278ETvDgb5WUopmfPxFnbuOsc7b42gR/cmBujtraVdy2Bysxm07tuSd9e/bLR2qjsV+DVQXGQCT7Z5iV7juvLKj88Yta0FC0NZs/YY06b25oExHQ123fXhkby34Xdc7Gz4ZNxg2uq52edOUgpz2XYtmj1JlziWdhVNmQ4rM3NauHrT1tOPEDdfGjt74u/gioWBpglKy3TE52cRk51KREYS4ekJRGanUFpWhrW5BZ3qBNDbuyGD6jXRqxzCvzl4IZ5X12yjSFPKrNH36nUI+d8t/XE/Py07yKMTuzHx4W4Gu+7fSSl5+/65nNx1hkVn5+EdVNdobVV3VaW0gmJAgc3rMfblESz/4Ff6jO9O+wHGO+Vn6uO9uX49lwULw3B3d6RvH8Osrb6/bXOa+tTh+eWbmfT9LzzVtzNTerWvcP32O/Gyc2JS4w5MatyBglINh1PjOJ6WQHh6AksvHKP0xiYuKzNzAhzcCHBwwcvOCW87J9ys7XCwtMbBwgo7i/+fm5ZICrWl5JeWkF9aQmZJIcmFuaQU5ZFQkE1sXsZfrtvKzYfHGnekvac/neoEGGUk/2elOh3zdx/m+73HaVDHnXnjh9CgjuFKHGzZGsFPyw4yaGArHjbSbtqbDqw7yuFNJ5gyZ4IKewNSI/xqRFOsYVqblykuKGbR2XnYOxl+WuSPtjRaXnp1FVFRSbz3zkg6d9LvQIw/yy8u4b0NoWyJiKalnxezRt9Lw7rGqb1yKyU6LTE5qVzMSedCThpxeRkkFOSQXJhLbul/W+bpYmWLt50j3nZONHTypLGzJ42cPGjk7Fmp00fnk1J5/ZedxCSnMapdC2YO7WWQZZc3he05z6zZG2nfLohZ740yyhm1N+Wk5/J4i+fx8HXjqyOzsbBU49I7UVM6NVjU4RhmdHuTwVP6MWPBVKO2lV9QzIsvrSI2Lo3Zs8bQtk2gQa+/NSKGDzaFUlBSyrQ+HXmsRzusjBgkd6OgVEOOpoi80hLytRqKtJq//LmdhVX56N/SGhcrm798AjCF4lIt34UeZfG+47ja2/LW8L701fO0qr87eOgi77y3nmbNfJgzeyw2Nsb9pPLhhC/Yu+Yw849/RIN7Ao3aVk2gAr+G++7Fn/hl3m+8v+lVOt3X1qht5eQW8fwLK0hMyuL9d0bSvr1h69Rn5Bcye1MY289eIMjTjZeH9KB7cH2DtlETSSkJjbrMx1v3kZCZw7DWTXnlvl642Bn2fNf9B2J4/4ONNGhQl0/mjMPeXv/1+3cSuvIAHz70BRPffoCH3x5j1LZqChX4NZympJRnOs0kIzGT7yI+xd3b1ajt5eQU8uLLq7iakMFbb4yga5dGBm9jX3QsH23eQ3xGNt0bB/LSkB4GnX+uSaKT05izeS/HriTQsK47M+/rRaeG/gZvJ2zPeWZ/9BvBjb346MMH9Dos526kxKXyRMiLBDavx7y97xltz0lNowK/FoiPSmB6+1dp2qkRH+18E3Nz4/5y5OYW8cpra7h4MYXnZwxk8KB7DN6GRqtjxeHTfPv7EQo1pdwX0oQnenck0NO4b2jVxcWUdBaEHmXHuQs42djwdP/OPNChlcH3NQCsW3+C+d/upmWLenzw/mijj+xLNaU83+MtrkYnsuDUx3jXVzdq75YK/Fpix9IwPnnsGx56YxSPvjfO6O0VFWl45731HD8Ry6MTu/HwhK5G2dGaVVDE93uPs+pIBBqtjsH3BDOlV4dKvbFblZxPSmXRnmPsOHsROytLJnRpzaM92uJsa/gRd1mZZNHiPaxec5RuXRvz+syhWFsb/9zYb2b8wPovt/LW2hfoPqqT0durSVTg1yIfPzafXT/u5b2Nrxh9Ph9Aq9Xxybxt7Nx1jgH9W/DcjIFYWRlnFUV6XgFL94ez6kgERaVaujT056EurekRXB8zs6pdOkFfurIyQqMus/zQaY7HXsPe2oqHuoTwSNc2uNgbp958UZGGOR9vYd/+GIYPbcPT0/sZZLf1vwlbdZDZ4z9nxDODmP7FY0Zvr6ZRgV+LlBSV8Fz3N0m8mMKXR2YT0NR4m5luklLy07KD/PjTAZo28eHdt+/Hw8PRaO1lFRSx9thZVh2J4HpuPvXcnBnRtjnD2jTFx8U4FRpNJSEzm43hUWw4GUVydh4+Lk6M73wPI9u3MMqI/qaUlGzeePtX4uLSmfJ4Lx4YbZiduf/m0qlYZnR7g0Ztg5i7+y0sDbiUtLaoEoEvhKgH/AR4AWXAQinlF3d6jgr8ikm9msb0DjOxc7Llq8OzcXI3Xvj+2b79MXw0dzN2dla89cYIWrWsZ9T2SnU6dkdeYs3Rsxy7koAQ0CGoHgNbNaZvs4a4G6FcQ2VIzc3n98jLbDsTQ3hcIkJA54YBPNChJb2bNjDKHP2fnQiPZdbsTeh0Zbz5+nA6GHgl1u1kJGfxTKeZAMw/9hGudQ1bS6i2qCqB7w14SylPCiEcgXBghJQy6nbPUYFfcZGHYnip77sEt2/AnF1vYVUJ864AV2JTeefd9SQlZ/PoxO48OK5TpUwDXMvMYdPJKH47Hc3VjGyEgLaBvvRqEkSXRgE09vKoshUzy8ok0cmpHLp0lbCoy5y+Wl6SOsjTjaGtmzK0dVO8XYz/pq3TlbH0x/2sWHWYwABP3nn7furpcaD9f1FUUMwLvd4mITqRz/a9T8PWailuRVWJwP9HQ0JsBL6WUu663WNU4Ovn5lxor3Fdmbnsf5VWSragoITPvthBaFgUISH+vPrSfdSpUzlTLVJKLqSkszvyErsjL3EhJR0Adwc7OjaoR4i/DyEB3jT28sDSyCuZbkej1RGdnEbE1SROxydz9EoCWQVFADT1qUP/Fg3p17xhpS5DTUzK4sM5m4mKSmTwwFZMf6qf0Uoc/51Oq+OdUR9zbMtJ3t1QOfeearIqF/hCiEBgH9BCSpn7tz+bCkwF8Pf3bxsfr/+xeLXZqjkbWDxzOcOeGsDTX02utFGulJLtO87y1fxdWFiYMf3Jftzbv0Wlj7JTcvI4fOkqhy9e5diVBNLyyo9CtLW0oJGXR/lXXXca1HHH19UZbxdHg+3u1Wi1JGXlcS0rh8upmVxMSefi9XQupqRTotUB4OXsSIcgP7o0CqBTQ388He0N0vbdKiuTbNl6mgULwzAzEzz37ACjnUN76/bL+GTyN+z6ca/Ry33XFlUq8IUQDsBe4AMp5bo7PVaN8PUnpWTRyz+z9tPfKm255p8lJmUxZ+4WzkVeo0P7IGY8OwCvusYr53wnUkqSs/M4fTWZiKvJXLgRwDdH1wBmQlDHyR53B3vcHexwsbPB2c4GWytL7Kwssbaw4OZ7lpRQotVSqCmlSFNKblEJmfmFZBYUkp5XSGpePn/+dXJ3sKNRXXcae3kSEuDNPf7eeDlXzv2VW0lMzOLTz7dx+vRV2rQO4KUXB1O3TuX9bKSUfPvcUtZ/uZVH3h3LhDdHV1rbNVmVCXwhhCWwGdghpZz3b49XgW8YUkrmTVnA9iWhTJr1IONfG1mp7ZeVSTZsDOf7JXsBeHRiN+4f0Q5LS9PvnJRSkpFfSGxaFteyckjMzCExK5fMgiIy8gvJLiwip7CYotJSbverYSYEtlaWONpY4WZvh7uDHe6Odvi6OOHr5oyfqxOBnm5V5iayRqNlzdpjLFtxCEsLc56Y2pshg++p1E9fUkoWz1zO6rkbGfnsEKbNe6TK3mOpbqpE4Ivyn+aPQKaUcsbdPEcFvuHodDo+fnQ+vy/fz9S5DzPmxWGV3oeU6zl8+dVOjhy9jH89d6Y/2dfgtXiMRUpJiVZHiVb7l//fxsICKwvzahFWUkoOHb7INwtCSU7Opkf3YJ5+qp9Rl9Derh8/vbOGZe//wpCp/Xn22ynV4u+vuqgqgd8N2A+cpXxZJsBrUsqtt3uOCnzD0ml1zH7oC/atPcxjH4znwZn3m6Qfh49cYv63u0lKyqZjhwY8PrknDYLqmKQvtUVMTDKLFu/h5Kl4AvzdeXp6f4NXO70bUkqWvL6SVR+tZ8CjvXn++2nqXFoDqxKBXxEq8A1Pp9Ux99GvCV1xgHGv3s9jHzxoktGVRqNl3YZwlq84RGFhCX16N+PRid3x9VV1cgwpLj6dH5buY/+BCzg52TLx4a4Mu6+1UevX305ZWRnfPreUDV9tY8iUfvzv2ykq7I1ABb7yFzqdjq+e+p4ti3YzaHJfnv12iskqEeblFbN6zVHWbTiBRqOlX9/mjH2gI/UDjXcQdm1w6dJ1Vq4+wp6957G1tWLM6A6MHtne6EXPbkdTUsonj80nbOVBRs0YwhOfqjl7Y1GBr/yDlJKlb65ixex1dLqvLa+tnIGtkcvd3klmZj4rVx9hy9YIiotL6dqlEWPHdKR5c18VDHdJSsnpiKusXnOUY8evYGdnxbD7WjP2gY44O5vuhnFBTgHvjPqE06HnmDx7PGNfGaF+pkakAl+5rd8W7OTrp7+nYZsg3t3wMh4+lbOz8nZycotYv+EEGzaEk5tXTMOGdbl/eBv69G5WKVUaq6OiIg27dkeyYVM4cXHpuLrYMWpke4YNbY2Dg+nexKG8pv2bwz4iITqJFxY/Sf+He5q0P7WBCnzljg7/doLZ4z/H3tmO9ze9SqM2pl85czPENm46SWxcGo6ONvTp3YwB97YkuLFXrR8hSimJjEpk565zhIWdp6CwpMq9OUYeiuGd++eiLdXx5prnadOvlam7VCuowFf+1eWION4c9hG56Xm89MN0ej7QxdRdAsqD7cyZBDZtPsXBQxfRaLQE+LvTt09zevZsUmm1XqqKuPh09u6L5vffI7mWmIWNjSXduzVm2NA2NGvqU2XeCHcsDeOLaQvx9Pdg1m+vUi/Y19RdqjVU4Ct3JTMli3dHf0rUoRhGPjuEKXMnYGFpnNr2FZGfX8yevdHs3HWOc5HXAAgK8qRn9yZ07NCAhg3r1ri6+GVlkpgLyRw9epm9+2OIj09HCGjVsh4D7m1Jj+7B2NmZ5kbsrWiKNXzz7A9sWbSbkD4teHP185VWrVUppwJfuWulmlIWvvQzG77aRrMuwby+cgZ16nmYulv/kJqay74DMezdG01kVCIArq72dGhXnzZtAgm5xx9Pz+pZGz/leg4REVcJPxnH8RNXyMkp+iPke/ZoQvduwbi7O5i6m/+QdDmFWeM+42L4Fca+PJxJsx5U59CagAp85T8LW3WQz6YuwMLKghcXP0WX4e1N3aXbyswq4MSJKxw9doUT4bHk5RUD4OvjSsuWfjQJ9qFJE2+C6nuaZP35nWg0Wq7EphEdnUR0TDJnzyaQnJIDgLOzLe3bBdGxQxDt2tY36UqbfxO26iCfT/sOMzMzXvphepX+91LTqcBXKuTahSQ+ePBzLp2KZfDjfZk27xFsHYxznJ6h6HRlxMamcSoinoiIq0SdTyI7uxAAS0tz/Ou5U7++JwH+7vj7u+Pr64qPtys2Nsa9yVlUpCEpKYvEpCwSEjKJjUsnLi6NqwkZaLXlG89dXe1p3syXkBB/Qu7xJzDAs8pPUeVnF/D1/xbz+7L9NOvcmJnLn8UrUO2aNiUV+EqFlWpKWfrmatZ+sgmv+nV4eel0WnRraupu3TUpJdev5xAdk0zMhRTi4tKJjU0jNe0vVblxdbXHw8MBd3cHPNwdcXK0xdHJBkcHG+zsrLCyssDa2hJLS/O/VMvUaLR/fBUWasjNKyYvr4jc3CIyMvJJz8gnIz2PrBtvOjd5eTkTGOhB/UBPght70STYB09Pxypz0/VunNx9hk8e+4aM5CwmvDGa8a+PVFM4VYAKfEVvZ/ZF8fGk+VyPS2PYUwOY/OH4Kj/av5OCghISE8tH3ImJWaRczyE9PY+MjHwyMvPJzS2irKxivwvm5mY4OdqUv3l4CHxO/QAAC3hJREFUOOLu7oC3lws+Pq74+Ljg5+tapW60/lf52QV89+JPbF8SSr1gH17+8WmadGhk6m4pN6jAVwyiKL+IJa+vZOPX2/Hwc+OZrx+n89C7+ndV7UgpKSzUkJdXRFFRKRqNlhKNltJS3V8eZ2lpjrWVBVbWFtjaWuHkaIOtrVW1GqnfLSkl+345wjfPLiE7LZcxLwzl4bfHYG1bfd+8aiIV+IpBRR2O4bMnviPuXAKdhrblqc8m4R1U19TdUowoISaRr/+3hJO7ztCoTX1mfPcEjds2MHW3lFtQga8YXKmmlHWfb2XZ+2vRact44MVhjH11hEnr8SiGV5BbyPL3f2H9l1uxsrXi0ffGMeypAWquvgpTga8YTXpiBoteWUboigO4ebsy8e0xDHysjwqEaq5UU8qW73az7P215GbkM+DRXjw2ezyudV1M3TXlX6jAV4wu8lAMC1/+mahDMdRr4sukWQ/SdUR7Ve+8mtHpdOxdc5gf31pF0uXrhPRuzpS5D6vpm2pEBb5SKaSUHNxwjCWvrSAhJomgVgFMeGuMCv5q4GbQL5/1C1fPJ1K/pT+TP3yIDoNa18gb0DWZCnylUum0OkJXHmDFB79y7UIy9Vv6M+7V++k5prOa6qliSjWlhK08yKo5G0iITiSweT0mvDma7qM7qTfpaqpKBL4QYglwH5AqpWxxN89RgV+96XQ69qw6xIrZv3L1fCJegZ6Mem4oAx7rrW7umlhBbiFbF/3Ous83k56YSVCrAB56YxTdRnZUQV/NVZXA7wHkAz+pwK9dysrKOLI5nNVzNxJ1KAZ7ZzsGTurN0KcG4NvQ29Tdq1Xiz1/jt292sOunvRTmFRHSuzkPvDScdgNC1NRNDVElAv9GRwKBzSrwa69zB6PZOH87+385gk6ro/3AEAY+1odOQ9thVQUO7aiJSopKOLjhONsW/87p0HNYWlnQc2wXRjw9iOD2DU3dPcXAVOArVU5GchZbF+1m66LdpCdm4ujmQN/x3ek3sSeN2wap0aaepJScP3qR3T/tJXTlAQpyCqkb4MmQqf0Z9HgfXDydTd1FxUiqVeALIaYCUwH8/f3bxsfHG60/iunpdDpO7j7Ljh9CObThOKUaLb6NvOnzYDd6jeuKfxN1UtLdklISF5nAnlUHCV15gJTYVKxsLOk+qhMDJvXmnl7N1fx8LVCtAv/P1Ai/dsnLymf/r0cJW7mfiD1RSCmp18SXLsPa0WVEB4LbN8DcXK3y+TOdVsf5Ixc4uOE4hzYeI+nydczMBK37taLPg93oOqI99s72pu6mUolU4CvVTnpiBgfWH+PQxuOc2RuFTqvD2cORdgND6DCwNW36t6q10xKZKVmE7zrDsW2nCN9xmrysAiwszWndtyWdh7Wn64j2uHm5mrqbiolUicAXQqwEegEewHXgbSnl4js9RwW+AuUj/+PbT3N8+ymObztFTnoeAIHN69GqZzNa9WhG086Nq+RRjPqSUnI9Po2owxc4uy+KiL1RJETfONKxrjPtB7Wmw8DWtBtwjxrJK0AVCfyKUIGv/J1Op+Ni+BVOh54jYm8k5w5EU1xQAoCHrxtNOzemcdsGNGpTn0ZtgqrdAdpZqTlcOhXLpZOxxJy4xPnDF8hMyQbAztGWFt2bcE/P5oT0aUHD1vXVnLzyDyrwlRpLW6rl8uk4zh+5SNSRGM4fvkBKXNoff+7h64Z/Mz8Cmvrh39QPnwZ18Q6qSx1/D5Pt+tWWakm9mk7S5eskX07h6vlE4s9fIz7qGpnJWX88zqdBXZp2bkyzTsE07dSIoFYBaqey8q9U4Cu1Sm5mHpdOxXHp5BXiIhOIj7rG1ahrFBeW/PEYM3Mz3H1ccfdxw9PPDde6Lrh5ueLs6YSzpxP2znbYO9li52SLtZ01ltaWWFlbYG5p8ZcjDrUaLaUlpZRqtJQUllCYW0RBbhEF2QVkp+WSk5ZLdmoOGclZpF/LID0xk8zkrL+cpmXrYENAMz/8m/kR2Nyfxm2DaBASiIOLmqJR/jsV+EqtV1ZWRvq1DJKvpJJ85TrJV66TlphB+rVM0hMzyUrJJj+7wCht2zvb4e7jioefOx6+bnj6ueMdVPePLw9fN7XvQDGY/xL4FsbujKKYgpmZGXX8Panj78k9vZrf8jGaklJy03PJTsulMLeofLSeU0hJkaZ8FF9SivbvRxxaWWBhZYGltSU2dlbYO9th52SHnZNt+acFD0csrdQOYqVqUoGv1FpW1pZ4+Lrj4etu6q4oSqVQt/wVRVFqCRX4iqIotYQKfEVRlFpCBb6iKEotoQJfURSlllCBryiKUkuowFcURaklVOAriqLUEirwFUVRagkV+IqiKLWECnxFUZRaQgW+oihKLaECX1EUpZZQga8oilJLGDXwhRADhRAxQohLQohXjdmWoiiKcmdGC3whhDkwHxgENAMeFEI0M1Z7iqIoyp0Zc4TfAbgkpbwipdQAq4DhRmxPURRFuQNjnnjlCyT86ftrQMe/P0gIMRWYeuPbEiHEOSP2yZQ8gHRTd8KI1Our3tTrq76C7/aBxgz8W53S/I8T06WUC4GFAEKIE3d7GG91U5NfG6jXV92p11d9CSFO3O1jjTmlcw2o96fv/YAkI7anKIqi3IExA/840EgIUV8IYQWMAzYZsT1FURTlDow2pSOl1AohngZ2AObAEill5L88baGx+lMF1OTXBur1VXfq9VVfd/3ahJT/mFZXFEVRaiC101ZRFKWWUIGvKIpSS1SpwBdCjBFCRAohyoQQNWYJVU0uMSGEWCKESK2p+yeEEPWEEGFCiPM3/m0+a+o+GYoQwkYIcUwIEXHjtb1r6j4ZgxDCXAhxSgix2dR9MTQhRJwQ4qwQ4vTdLM+sUoEPnANGAvtM3RFDqQUlJpYCA03dCSPSAi9IKZsCnYDpNejnVwL0kVLeA4QAA4UQnUzcJ2N4Fjhv6k4YUW8pZcjd7DOoUoEvpTwvpYwxdT8MrEaXmJBS7gMyTd0PY5FSJkspT9747zzKg8PXtL0yDFku/8a3lje+atQqDiGEHzAE+N7UfakKqlTg11C3KjFRIwKjthFCBAKtgaOm7Ynh3JjuOA2kAruklDXmtd3wOfAyUGbqjhiJBHYKIcJvlKm5I2OWVrglIcRuwOsWf/S6lHJjZfenEtxViQmlahNCOAC/AjOklLmm7o+hSCl1QIgQwgVYL4RoIaWsEfdjhBD3AalSynAhRC9T98dIukopk4QQdYBdQojoG5+6b6nSA19K2a+y2zQxVWKimhNCWFIe9sullOtM3R9jkFJmCyH2UH4/pkYEPtAVGCaEGAzYAE5CiGVSygkm7pfBSCmTbvxvqhBiPeVTyLcNfDWlY3yqxEQ1JoQQwGLgvJRynqn7Y0hCCM8bI3uEELZAPyDatL0yHCnlTCmln5QykPLfu9CaFPZCCHshhOPN/wbu5V/erKtU4Ash7hdCXAM6A1uEEDtM3Sd9SSm1wM0SE+eBNXdRYqLaEEKsBA4DwUKIa0KIyabuk4F1BR4G+txY+nb6xoixJvAGwoQQZygfmOySUta4pYs1WF3ggBAiAjgGbJFSbr/TE1RpBUVRlFqiSo3wFUVRFONRga8oilJLqMBXFEWpJVTgK4qi1BIq8BVFUWoJFfiKoii1hAp8RVGUWkIFvqLchhCivRDizI268fY3asa3MHW/FKWi1MYrRbkDIcQsyuuw2ALXpJQfmrhLilJhKvAV5Q5u1D86DhQDXW5Ul1SUaklN6SjKnbkBDoAj5SN9Ram21AhfUe5ACLGJ8lPK6gPeUsqnTdwlRamwSq+HryjVhRBiIqCVUq64cTbxISFEHyllqKn7pigVoUb4iqIotYSaw1cURaklVOAriqLUEirwFUVRagkV+IqiKLWECnxFUZRaQgW+oihKLaECX1EUpZb4P7gn0qdPRv5HAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import os\n", + "os.chdir(\"../\")\n", + "import pints\n", + "import pints.toy\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Create log pdf\n", + "log_pdf = pints.toy.GaussianLogPDF([2, 4], [[1, 0], [0, 3]])\n", + "\n", + "# Contour plot of pdf\n", + "levels = np.linspace(-3,12,20)\n", + "num_points = 100\n", + "x = np.linspace(-1, 5, num_points)\n", + "y = np.linspace(-0, 8, num_points)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = np.zeros(X.shape)\n", + "Z = np.exp([[log_pdf([i, j]) for i in x] for j in y])\n", + "plt.contour(X, Y, Z)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we set up a sampling routine using Slice Sampling with Adaptive Hyperrectangles." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# Choose starting point for 3 mcmc chains\n", + "xs = [\n", + " [2, 4],\n", + " [3, 3],\n", + " [5, 4],\n", + "]\n", + "\n", + "# Create mcmc routine\n", + "mcmc = pints.MCMCController(log_pdf, 3, xs, method=pints.SliceHyperrectanglesMCMC)\n", + "\n", + "# Add stopping criterion\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Set up modest logging\n", + "mcmc.set_log_to_screen(True)\n", + "mcmc.set_log_interval(1000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now set the hyperparameters of the sampler:\n", + "\n", + "1. The estimates ``width`` of the relative scales of the variables.\n", + "\n", + "These are going to be the dimesions of the hyperrectangle $H$. Preferably, $H$ should contain most of the slice. In this example, we set ``width = [8, 8]``.\n", + "\n", + "We also turn on the adaptive shrinking option." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Using Slice Sampling - Hyperrectangles\n", + "Generating 3 chains.\n", + "Running in sequential mode.\n", + "Iter. Eval. Time m:s\n", + "0 3 0:00.0\n", + "1 21 0:00.0\n", + "2 42 0:00.0\n", + "3 45 0:00.0\n", + "1000 11277 0:00.8\n", + "2000 22146 0:01.7\n", + "Halting: Maximum number of iterations (2000) reached.\n", + "Done!\n" + ] + } + ], + "source": [ + "for sampler in mcmc.samplers():\n", + " sampler.set_width(8)\n", + " sampler.set_adaptive_shrinking(True)\n", + " \n", + "# Run!\n", + "print('Running...')\n", + "full_chains = mcmc.run()\n", + "print('Done!')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This method is much faster than other Slice Sampling methods on low-dimensional spaces!\n", + "\n", + "We then use Pints' [diagnostic plots](http://pints.readthedocs.io/en/latest/diagnostic_plots.html) to investigate the performance of the sampler.\n", + "\n", + "We start by using the [trace](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.trace) to see if the 3 chains have converged to the same solution." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Show traces and histograms\n", + "import pints.plot\n", + "pints.plot.trace(full_chains)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Based on this plot, it looks like the three chains become very similar after only a few iterations, and preserve a similar behaviour for the remaining iterations. To further investigate convergence, we can use the R-hat criterion, which is based on the stability of outcomes between and within chains of the same length. If everything went well, we should expect values close to 1." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "R-hat:\n", + "[1.0009963101928003, 1.001114256646542]\n" + ] + } + ], + "source": [ + "# Check convergence using rhat criterion\n", + "print('R-hat:')\n", + "print(pints.rhat_all_params(full_chains))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, the chains converge to the same underlying distribution!\n", + "\n", + "We can now continue our analysis by considering the [autocorrelation()](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.autocorrelation) method for the first chain." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "chain = full_chains[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If everything went well, the samples in the chain should be relatively independent, so the autocorrelation should get quite low when the `lag` on the x-axis increases." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pints.plot.autocorrelation(chain)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now look at the correlation between the different parameters by using the [pairwise()](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.pairwise) plot." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pints.plot.pairwise(chain, kde=True, ref_parameters=[2,4])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the plots, we can see that we reach the original \"true\" values of the target posterior, and that the method suggests a normal distribution around the correct mean!\n", + "\n", + "Finally, as our target distribution is Gaussian, we can calculate analytically the KL divergence between the distributions obtained from the chains and the true posterior distribution. We would expect the KL values to be be approximately $0$ to indicate no loss of information between the distributions." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.005992115289496391\n", + "0.0038824119363976006\n", + "0.0051690623038114225\n" + ] + } + ], + "source": [ + "# Check Kullback-Leibler divergence of chains\n", + "print(log_pdf.kl_divergence(full_chains[0]))\n", + "print(log_pdf.kl_divergence(full_chains[1]))\n", + "print(log_pdf.kl_divergence(full_chains[2]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Problem 2: Multimodal Distribution\n", + "\n", + "Having the confidence that Slice Sampling with Adaptive Hyperrectangles performs well on a simple unimodal Gaussian distribution (when the dimensios of $H$ are good indications of the dimensions of the target un-normalised distribution), we check its performance on a more problematic multimodal exercise." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "log_pdf = pints.toy.MultimodalGaussianLogPDF(modes=[[-1, -1], [11, 5], [5, 12]])\n", + "\n", + "samples = log_pdf.sample(100)\n", + "\n", + "# Contour plot of pdf\n", + "levels = np.linspace(-3,12,20)\n", + "num_points = 100\n", + "x = np.linspace(-5, 15, num_points)\n", + "y = np.linspace(-5, 15, num_points)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = np.zeros(X.shape)\n", + "Z = np.exp([[log_pdf([i, j]) for i in x] for j in y])\n", + "plt.contour(X, Y, Z)\n", + "plt.scatter(samples[:,0], samples[:,1])\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If the dimensions of the hyperrectangle are big enough, we would expect the method to explore properly all the modes of the distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Done!\n" + ] + } + ], + "source": [ + "# Create an adaptive covariance MCMC routine\n", + "x0 = np.random.uniform([2, 2], [8, 8], size=(4, 2))\n", + "mcmc = pints.MCMCController(log_pdf, 4, x0, method=pints.SliceHyperrectanglesMCMC)\n", + "\n", + "for sampler in mcmc.samplers():\n", + " sampler.set_width(10)\n", + " sampler.set_adaptive_shrinking(True)\n", + " \n", + "# Set maximum number of iterations\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Disable logging\n", + "mcmc.set_log_to_screen(False)\n", + "\n", + "# Number of chains\n", + "num_chains = 4\n", + "\n", + "# Run!\n", + "print('Running...')\n", + "chains = mcmc.run()\n", + "print('Done!')" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "stacked = np.vstack(chains)\n", + "plt.contour(X, Y, Z, colors='k', alpha=0.5)\n", + "plt.scatter(stacked[:,0], stacked[:,1], marker='.', alpha=0.2)\n", + "plt.xlim(-5, 15)\n", + "plt.ylim(-5, 15)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As expected, using a hyperrectangle with ``width`` = $10$, we explore efficiently the parameter space, capturing all the modes of the target distribution.\n", + "\n", + "The KL divergence should be very good for the three modes." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "KL divergence by mode: [0.00303511 0.00068694 0.00117803]\n" + ] + } + ], + "source": [ + "print(\"KL divergence by mode: \" + str(log_pdf.kl_divergence(stacked)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, when the dimensions of the hyperrectangles are too small (``width`` = $3$), we risk not exploring one or more modes." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Done!\n" + ] + } + ], + "source": [ + "# Create an adaptive covariance MCMC routine\n", + "x0 = np.random.uniform([2, 2], [8, 8], size=(4, 2))\n", + "mcmc = pints.MCMCController(log_pdf, 4, x0, method=pints.SliceHyperrectanglesMCMC)\n", + "\n", + "for sampler in mcmc.samplers():\n", + " sampler.set_width(3)\n", + " \n", + "# Set maximum number of iterations\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Disable logging\n", + "mcmc.set_log_to_screen(False)\n", + "\n", + "# Number of chains\n", + "num_chains = 4\n", + "\n", + "# Run!\n", + "print('Running...')\n", + "chains = mcmc.run()\n", + "print('Done!')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "stacked = np.vstack(chains)\n", + "plt.contour(X, Y, Z, colors='k', alpha=0.5)\n", + "plt.scatter(stacked[:,0], stacked[:,1], marker='.', alpha=0.2)\n", + "plt.xlim(-5, 15)\n", + "plt.ylim(-5, 15)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As expected, one of the modes has hardly been explored.\n", + "\n", + "The KL divergence should be very good for two modes, and obviously terrible for the non-explored one." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "KL divergence by mode: [7.44441789e-03 8.06533135e-04 2.47485405e+01]\n" + ] + } + ], + "source": [ + "print(\"KL divergence by mode: \" + str(log_pdf.kl_divergence(stacked)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Problem 3: Time-Series Problem - Logistic Model\n", + "We now try the same method on a more realistic time-series problem using a logistic model, following the tutorial notebook: [sampling-first-example](./sampling-first-example.ipynb).\n", + "\n", + "Note that we haven't set ``width`` to any specific value. We are therefore using the default settings of the sampler, which generates estimates using the initial samples in the chains." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Using Slice Sampling - Hyperrectangles\n", + "Generating 3 chains.\n", + "Running in sequential mode.\n", + "Iter. Eval. Time m:s\n", + "0 3 0:00.0\n", + "1 18 0:00.0\n", + "2 27 0:00.0\n", + "3 33 0:00.0\n", + "500 31143 0:07.5\n", + "1000 62799 0:14.9\n", + "1500 95640 0:22.5\n", + "2000 121728 0:28.5\n", + "Halting: Maximum number of iterations (2000) reached.\n", + "Done!\n" + ] + } + ], + "source": [ + "import pints\n", + "import pints.toy as toy\n", + "import pints.plot\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Load a forward model\n", + "model = toy.LogisticModel()\n", + "\n", + "# Create some toy data\n", + "real_parameters = [0.015, 500]\n", + "times = np.linspace(0, 1000, 1000)\n", + "org_values = model.simulate(real_parameters, times)\n", + "\n", + "# Add noise\n", + "noise = 10\n", + "values = org_values + np.random.normal(0, noise, org_values.shape)\n", + "real_parameters = np.array(real_parameters + [noise])\n", + "\n", + "# Get properties of the noise sample\n", + "noise_sample_mean = np.mean(values - org_values)\n", + "noise_sample_std = np.std(values - org_values)\n", + "\n", + "# Create an object with links to the model and time series\n", + "problem = pints.SingleOutputProblem(model, times, values)\n", + "\n", + "# Create a log-likelihood function (adds an extra parameter!)\n", + "log_likelihood = pints.GaussianLogLikelihood(problem)\n", + "\n", + "# Create a uniform prior over both the parameters and the new noise variable\n", + "log_prior = pints.UniformLogPrior(\n", + " [0.01, 400, noise * 0.1],\n", + " [0.02, 600, noise * 100],\n", + ")\n", + "\n", + "# Create a posterior log-likelihood (log(likelihood * prior))\n", + "log_posterior = pints.LogPosterior(log_likelihood, log_prior)\n", + "\n", + "# Choose starting points for 3 mcmc chains\n", + "num_chains = 3\n", + "xs = [\n", + " real_parameters * 1.1,\n", + " real_parameters * 0.9,\n", + " real_parameters * 1.15,\n", + "]\n", + "\n", + "# Create mcmc routine\n", + "mcmc = pints.MCMCController(\n", + " log_posterior, num_chains, xs, method=pints.SliceHyperrectanglesMCMC)\n", + "\n", + "for sampler in mcmc.samplers():\n", + " sampler.set_adaptive_shrinking(1)\n", + "\n", + "# Add stopping criterion\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Set up modest logging\n", + "mcmc.set_log_to_screen(True)\n", + "mcmc.set_log_interval(500)\n", + "\n", + "# Run!\n", + "print('Running...')\n", + "full_chains = mcmc.run()\n", + "print('Done!')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As done for the previous unimodal Gaussian example, we use Pints' trace tool to check convergence." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Show traces and histograms\n", + "pints.plot.trace(full_chains)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the plots we can see that the chains rapidly converge towards the same values after a few iterations.\n", + "\n", + "To further investigate convergence, we use the R-hat criterion." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "R-hat:\n", + "[1.000575309660965, 1.0001532966923847, 0.9998894074735856]\n" + ] + } + ], + "source": [ + "# Discard warm up\n", + "full_chains = full_chains[:, 200:, :]\n", + "\n", + "# Check convergence using rhat criterion\n", + "print('R-hat:')\n", + "print(pints.rhat_all_params(full_chains))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, we look at the correlation between different parameters." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Look at distribution in chain 0\n", + "pints.plot.pairwise(full_chains[0], kde=True, ref_parameters = real_parameters)\n", + "\n", + "# Show graphs\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the plots, we see that we come close to the \"true values\" of the target distribution, displaying a normal distribution around such values." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Problem 4: Rosenbrock Toy Distribution\n", + "This function (further described [here](http://pints.readthedocs.io/en/latest/toy/rosenbrock.html)) which can be used to define a normalisable probability density function:\n", + "\n", + "$ p(x, y) \\propto \\frac{1}{1 + \\text{RosenbrockError}(x,y)}, $\n", + "\n", + "that is,\n", + "\n", + "$ p(x, y) \\propto \\frac{1}{\\left(1 + (1 - x)^2 + 100 (y - x^2)^2) \\right)}, $\n", + "\n", + "which we term the `RosenbrockLogPDF`.\n", + "\n", + "We now plot this function." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from __future__ import print_function\n", + "import pints\n", + "import pints.toy\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pints.plot\n", + "\n", + "# Create Rosenbrock log pdf\n", + "log_pdf = pints.toy.RosenbrockLogPDF()\n", + "\n", + "# Contour plot of pdf\n", + "levels = np.linspace(0, 1, 20)\n", + "x = np.linspace(-2, 4, 400)\n", + "y = np.linspace(-1, 12, 400)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = np.exp([[log_pdf([i, j]) for i in x] for j in y])\n", + "plt.contour(X, Y, Z, levels = levels)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We turn the problem into a Bayesian problem by using the inverse Rosenbrock function as a likelihood." + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Done!\n", + "R-hat:\n", + "[1.0039576383878852, 1.0044563554399437]\n" + ] + } + ], + "source": [ + "# Create an adaptive covariance MCMC routine\n", + "x0 = np.random.uniform([1, 1], [1.1, 1.1], size=(4, 2))\n", + "sigma0 = [0.5, 0.5]\n", + "\n", + "# Use suggested prior bounds\n", + "bounds = log_pdf.suggested_bounds()\n", + "\n", + "# Create a uniform prior over both the parameters\n", + "log_prior = pints.UniformLogPrior(\n", + " bounds[0], bounds[1]\n", + ")\n", + "\n", + "# Create a posterior log-likelihood (log(likelihood * prior))\n", + "log_posterior = pints.LogPosterior(log_pdf, log_prior)\n", + "\n", + "mcmc = pints.MCMCController(log_posterior, 4, x0, method=pints.SliceHyperrectanglesMCMC, sigma0=sigma0)\n", + "\n", + "for sampler in mcmc.samplers():\n", + " sampler.set_width(12)\n", + " sampler.set_adaptive_shrinking(1)\n", + " \n", + "# Stop after 4000 iterations\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Disable logging\n", + "mcmc.set_log_to_screen(False)\n", + "\n", + "# Run!\n", + "print('Running...')\n", + "chains = mcmc.run()\n", + "print('Done!')\n", + "\n", + "# Discard warm-up\n", + "chains = [chain[1000:] for chain in chains]\n", + "\n", + "print('R-hat:')\n", + "print(pints.rhat_all_params(chains))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The R-hat tool gives us good results, indicating that the chains converge to the same underlying distribution.\n", + "\n", + "We inspect the results by creating a scatter plot of the samples." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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37mpnf3uEnc2hDVucax2XbDhBoNI6FQpFldVaD4s17nzJJlN2ee31n5JOz5LJl8nlsvi77qGcSaELHcNnsqOjmSePP0FTwCBbcjg/luVo78asO7WOSzbUSroR5pMSLArF1mWpFaALwdmxHD5ZZuD8RwT9BpOj0/hibaAZuLkZIq0dNIX8PPvUcY7u7eTiRJawX6dguRumqdc6LtlQK996m0+19sspFIqNY/H3XXE8rIrD2fEck9kSmfPvMJfLk88VKJRt/K0dlGdG0AwTqfloSSb4+vPPcDVVYHi2xPBskYPtMSJ+Y8OUx1rGJeu2xMRyrLf5tBW2hisUiuVZ/H37DI2uRIjueICYzHH5s/MUbY/0zCSiqQvXk7i5GcLxBE1Bk+PHn8LwmfgMnWO7k/QkwhzoiAJsahmNlahWXV2v5zeU+rve5lOt/XIKRb2wlVyk1XfRBAvfd8XxsF2XgekCn558i3S2yNzsLBYGgUQX5bHP8MwQfp+f+/bs4PgTjwDzv1+wHZrDPlqj/poHdavvt96ejIYb8fU0n2rtl1Mo6oGt5CJd6g7qaQ6BkPRP5PhwMM2nZ88yNjKMoUMln8bXfg+eXcTNp/ElOvE0wZEnnyLsn1/4q4v/4vWh1srjRgijxhztdUTtF1Bsd+pBy10vqu8S9uu8PZhmPFMmaGpICQYeFz86gZUrUcqmCUTjuPEOClc/RAvG8OmCtvZO7uvru0EYVv9ftTT6umJ3VeDubtkIT0ZjjrZCoVg3tpKLtPou12YKjM6VCJs+ZvJl2mMBznzyIU4hQ8TUEZTpfehJLgxNUixl0RPdBAJ+9j98nId6EiscY1kfVtNGeDIad8QVCsW6sJVcpNV3uTieZSRVxO/TKNqCJsPFGTmH39DIpyaINHdwpG8Pg+c/wmxvwwiY9N3Xx2/92rP0NIdvuu+trKZaxFfW25PRuCOuqDlbKcC43dlKLtKQaXCwM0YqbzORLTNXtPjDN19maCKN4VkEDdh96Chvn/yQXC5HU0cPLbEIv/mPvs09nU3L3nMlq6meLIW7oaHSRxX1w2afRqVQrIWQaXB4VxwBZNOTnD93lpLrMTQ8gmzq4vJshWuXLyCCTZi6Tveee2jr6Lzl/ZY7VH6rpKArQaC4I7bKB6DYGiyXV+9JaImYjH56koptk5+bJRQOc8/hY0xeOk2+UMbSAuhmgPuOPn7bZ4RMg7Zo4AaNfzPiK+u9Z2A5Gs+GUdQFWynAqGhsqtZpyXaxHI8n9iVpiQSI+A1Gr15ElNIkgga5XI7Oe46QyxcoTw8TbEriCdhz7/08dnAnYb/OVK68Jlfn7eIrd+s+3SzXk/p6FXfEVgowKhqbai2hiazFXNEG4Il9SUpli9Fz79PV5IecRfCePXz7b3+d3/73v4uh65jBMMIM8uILz3F4V4LzY9k7WnBXiq+sxyK+Wam96utV3DFbKcCoaFwifgPL8Zgr2sRDPizH5eUzEwyfOUn/yCRxn8QuFXj00aOMDQ/iZCbo6upCM012P/Q4jx3oxJNQsl0Cpk6psj7F5dZjEd8sy1t9xQqFoqEJmQZP7EsCIAVcHMtSys7y6fvvYwiPC4ODOK7DK+98hPAcNDPIvmScYKyZb774LEGfgVVx6Z/K40qJLgRHdiXuul3rsYhvluWtBIFCoWh4WiIBvtTXzkCqAJ7Hj0++TCZfIJvNMDc9h6MHiAgXb3acAwfvpScZ4xd/6RsQCXJtpkC2VKGnOUg86KdUmdfk75b1WsQ3w/JWWUMKhaIhWZpNEzINepNhZkYGmBkdxNQ1ZqfGyRWL2I7H5NAArhkjXbDo3rGDrt37F1w3fp8GCDwkQXP9DqhfLtOoHqnv1ikUCsUyrBSIzRRKvPXGq1QqFdLTkzhOhUA0SalURNM12tpaaUtEaLnnUUbSJfqn8iAg6NM5siux5hpCW2VTZeO2XKFoULbK4lFLlgvEFm2H//V3/5qL18aoWGVmJifxpMBOTxCJRGhu7aStKcCe/feyo6eH5rCflmiF1oifg52xNY9F0XZ45/I0BdsjbGoc39/asOPZmK1WKBqUrVKSoNZE/AYVx+XKdJ6wqaEJ+PN3PuO1N96iWLbITgwRkA5tu/YzM3SZaDhI3+5OIpEwf+dbX2WiDCevpUBKmkPmwn1vJaSX/tt0zuLiZJ6IaTA863CgI8auZGOOZU1aLYT4l8A/AiRwBvgHUspyLdqiUGwmjVDyuZYWy9qeLZhfQgT5ssPJN1+jbJWpFLM4VpFgWzvpmWk0XccLJhhIlzi05yEmygY9zWEKtkt3IrhwFjGwopBeToADICVCcL0djcumB4uFEN3APweOSikPATrwq5vdDoWiFtT7juxa1pBay7PzloPP0NjbGsVDcur0p0yPXsOuOORmxhFS0tzcgixlaIrFMQIhmpriHD76OAXbI2jqNIdNCpa7MA63Kpuy3L+1Rv0c7IiRCJscbI/RGvVvRjdtCLWahQYQFEJUgBAwtpkPVz5aRa2o9x3ZtbRY1vLsqkAdyxS5MJzmzGs/oVS2qeTSCOkS7dhFamIYTQgC8RaCIT/7HniEMjphU1vz6WPLCfCQaXB8f0vdjuVa2PSWSylHhRD/OzAElIBXpJSvLL1OCPEd4DsAO3fuXLfnN5qPVgmtrUc978iupcVyu2cv/RaO9jYzkCrw3ts/Y2JymonZHOXMDIFwFF3TKORz7OjegWEYHD3Yy3/1q19G0+aFwNLTx6p/XklIr/Rv9TyWa2HT30AIkQC+AewG5oA/E0L8HSnl7y++Tkr5XeC7AEePHl03B1wj+GirNJrQUjQ+tbRYbvXslb6FsFfk4icfUqy4VGYnMXVBtK2b4vhVQgE/RrQZR+j0PvQk7U3B277PrRb2rbLoL0ctNpR9CbgmpZyWUlaAvwSe2KyH17uPdjGq1LOiFtRyE9RKz17uW5BS8vpPXiIRADufpZDPIaIt5DNzeK5Da3sXuoAH7utj//69TOesDS/n3KjUYhUcAo4JIULMu4aeA05t1sPr3Ue7mEYSWgrFWliry3O5b+GTTz7hwuUrDKUKXLl6hWJFohkx7InL6D4/ZT1EMhjiqee+hIbg0kQWn6GvaF1vZzdsLWIE7wkh/hz4CHCAj7nuAtosGsXEayShpdhcGnnRuhOX59JvAcfmhz9+mavTOc5dukquUMLXtpdKZgo8FzPehqFrPH7sGPf1doGA6ay1okt4u7tha/KmUsrfAn6rFs9uNBpFaCk2j0ZftO40Trf4W/jrH/+QiZk041NpZqcnIdSMJzTcfAotlMAMBInG49x3+BFSeRtPyvlyErBsLaFGih1uBA33po2sCSkU60GjL1p36/I8/9ll3nnvFPlyhYnhAXyGAYkOrOlBhBA0JdvoTET54rPP4fMH8KSkKx4CAT3NIXqT4Zv6a7u7YRvqbRtdE1Io1gNNQLZUwaq461opczk2QvG6G5dntljmu3/w5wxNZjjXP0g+n4fEDqRVwLPy+BOdRMIBOru7eerYI2TKNtM5C8R8Zkz4FhlB29kN21BlqFUWjWK7U7Qdzo9l8RsaluPR17X2YmlredZG7TK+k8ykou3wly+9xvDYGKOpLDNjw7i+MFowhjM7imkGCMWTBP1+Dj32NJmyzXC6RCxokC1VKDse12YKK75Lo5SM3gga6o23u/mmUFSVoa54iFTBWpcDVG73rFq6oKoWiSbgxNmrvPL6zxiYLjJ27SrlioMv2YmTnsR1KoQ6dxDy6Rw5cpi/9exhPCR+Q6crHuLKdB7Xkw3rTttoGqontrv5plBspjJUa8VrsSs4U7T52SsvIR0bp5DBKWbxJTqQQmDNTaIFYgTDUeJNMR47/gxzpQoVx1tof9jUsCreQrVSpUTeSMP1Rj1k0aiAtaJWbKYyVGvFq2qRhE2Dd997n4HBITKFMqnxQYQZwN/cTWH0EghBoLkdn26w+4HHiEQiC5r/7pYwQXN+78DHg3M4tsN81dLbs52+8639dhuAClgras1mKkO1VLyqZw787PIoJ958g4rtMD06TECTJHYeZCaTh3IWX1MbwaAfPdbMrnsOMZ0rMzZXJGjqC3WFpnLl+WqlTdFVuYa223feUMHiekAFrBWKzSFkGuxvjzJx5h1CWoXLQxMMDw+TFjFKRpTK9AB+f4Dm1g5amyI88PjTPHNvJ33dTfQkQzcs3mt1c22373zrirgNotZ+U8XGsZ1cAZvNnfbt9HA/k0PXmMiUSY8NIDUdkruZGfwMu1iivXc/rbEAuw4e4qGDBzB1jaBPv2mvwFrdXNvtO9/ab7cB1NpvqtgYtpsrYDO5074tFAr8+McvUbIrpCZGKZeKCDNIZfQ8lLIY4SaSzc20JhO88PzzvHC4F79PX/G7XIuba7O+83pRPtRMvwPqIWCtWF/qIVVyq7LWvp3JlxlKF3njpf/Cx/2jjE7PMTYyCBKEL4jrVNCAYHMHyWiAZ555hm8+tpeWSOCG+9ztIrvR33k9KR9qpisUbD9XwGay2r4t2g5DqSI/OD3C+YuX+PiNt7AqDhP9FykVbdA0ZCmP51hEO3rY3RHnyL17+ae/8gKRgHnTvRYvsn1dsYU/e5Kaa+BQX8qHmu0KBcrlt54s1cRX07fVhXtgpsDl8VmuffQWcwWL7Mw4pXwGz7EQgSg4FoY/iL+phZZYhN/4tV++SQjAjYvs2FyRE/0p/IZG/1SefW0RgqZec/dfPSkfarYr7ph68W+uF8rld/es5O64Xd9WF+7drWH++M9OMjQ+Ra5QoJwaRUqJr20PTmYKiSTa1oPf0Lj3gQfp6u5e9n6LF1nL8fAbGgFTx5WSoM/Ak7Lm7r96Uj7UrFfcEfXk31TUD3fi7ijaDiXbpeK4jI4O4csMEQ6YpAYuIh0HI9qKV5wDx8YX7yQciRCJxnno0Sc5NZBedu4tXmQ1AefHspQqLroQlCrOhhfrWy31onzUvgWKhqSe/JuK2rLYMpzfBOZxdSZPyHf7xXaxQmFbFhffe4OOqMn5S5M4pSxSMxD+IF52GmEGaOvqpqe1iS+/+DUe6O245dxbvMge7TXIWw5HdiVWHSPYahbvrdgyb7edBm0jWI+jAxXbj+WCsiCREkDedl4tVih+/vpLZDJzpOZyzI0PIV0XX1sv9tQ10AT+5i6i4QAHD+yj774H1jT31qp5bzeLd0u82XYbtPVmPY4OVP29PVlqGU7lLHyGzt6mEGOZ+SBtLOhbcV5VFYrTZ8/z2dkzFMo27314mnw+j2jqwCtlwXMwoi3Eky0EA0Eee+pLHN/fsqHZP9vN4t0SJSa223bw9eZO+287129XzFNdyMfmimRLFaKLg7SV+SDtcvOqaDtM5coA9LUFuPrRmwR9cPHKNfKzaTD86KE4TmYKdD+Jzp0c6GjiK88/w9eP3UNLJLChc2+7Wbxb4u2226CtN6r/FHdKyDTo64otpGdemynckLN/fix707xaaoFeOPEql4cmGJycY2r4KpbrYHTcgz09CELgT3YRjYRItrTyT3/1xZs2jm3Ue20ni3dLvN12G7T1RvWf4m7wJMSCvgU3iiehLTq/WFeDtNV5VbQdBlIFSrZLVzzEm++d4s9e+jnTuTLj/WewCkWMeNf80ZN2ET3chBlvwW+aHHv2BcqbaOzXS0bPZrBl3nI7DdpGoPpPcaesZefwqYE0Jdvl1GAa4+o477z0Mo70KKfHsXNzYAYRkST2yFmEYeJP7sQQGrHuA9iBBJcmsgulpRXrh+pNhWKLslmZdCtZlEXb4Z3LMxRsh7BpcKAjSsl2SRVsTlyeYezD1yjPTOL3KsyMDuB6HoH2vVjTA0jPw5/sIBwNE4kmiOx7GBB4sBC4VZmC64fqPYViC7LZmXTLWZTTOYuLE1miAR/XpvMYuuDUYJr3rqU49+lpSkNXkdKjMnYB1y7hb9mFtIp4xQxmKEa8tRtNN2g/9Dia4Wc6VyJbChPxGypTcJ3ZEllDCoXiRuomk04IbMdjZK7EhfEsV6fzZNNp8lc/wvEk5ZlRrFwGLdiEP9ZKeXoA3WfStfsA+9tjPHj/IfoO3oOhCYQUBA29vt5vi1ATESqEiAP/ETgESOA3pJTv1qItCsVWZKMywdbijgn7dTpjfqZyFvEMjDrSAAAgAElEQVSgj6agD9txyFw8gSlcyuUcztw4Ugj0ZA+FiavgVkh07uHxvp30diS577lvcHrSRiLY3RrB59MWnq8y3daPWvXe/wG8LKX8ZSGECYRq1A6FYkuyEZlga3HHFG2H82NZfIbGZNaiaDm8fHaCwTMfUZ6boiVkMD48BI6FCDRhZVM4uRR6IEJzZw/FiuSFF36BHft6EGaKTMmhVHGwKt7C+6hMt/Vj03tPCBEDngL+PoCU0gbszW6HQrGV2YhA6lp221avDfoM0vkyedvh7KUrzF44he16WBNXKWRmcT0P4TrIuUk0zcBs2UnJEWhN7XTv7aM16qejKUBT0MVyPJ7Yl1x4psp0Wz9q0Yt7gGngd4UQDwIfAv9CSllYfJEQ4jvAdwB27ty56Y1UrB8qu2Nz2ahA6lrcMdXic0PpArYrkY7D3LmfY9sOufQM1vQYnlNBizSD6yK9ClpzD/5oM7FwiH1HnyFdtGmLBZTmvwnUIlhsAA8D/4+U8jBQAP7t0ouklN+VUh6VUh5tbW3d7DYq1onqonR+LMupgTRFWwX1NpqNCqRW3TF9XbHbuoWmcxZWxSEW8LGzOcTM+XfxSnlKZQtregCvYiEME1nK4ZVyaMEowdYdGDp09D1COBJjJF3ktfOTFG1HlTLZYGohCEaAESnle9f//ufMCwbFFkRld2w+GxlIvV19qargP3l1hrPjOTqbgpiZQWaGLhEK+ChPXMEr5xCahh5JIp0KwmfiS84fPN/S2cPB+w/T2RRgKmtxdjTDGxenKNrOQn0ipUysP5suYqWUE0KIYSHEPVLKz4DngPOb3Q7F5rCdsjvqxQW2mYHUpe88nbMYShUZmysxPlfklY/6Of36q+QsSXp8iEo+BdLDSPRQmRkCTcdo6sAXbkLqfrRdR0nlba5M58lZ8xbFSLrEULrAVNZS+wY2iFr15D8D/uB6xtBV4B/UqB2KDWa7ZHfU2wanjQqkLl74gZvOIvh0ZI43PptkJm/RHvExfeY1dBxK+TkKkwNQsTDinbjFOUCiBaOEWrqJhU06+h6jrbuDvu4YsYCPsWyZnkQIy/Eo2u62Kgu92dSkJ6WUp4GjtXi2YvNYvGhUi5BtVbZa/frlrJulwm5XMnzTWQRzxQpWxaNse7z79puYqUFMXTA3cgm7lEcLRBA+E29uHOEP4Wvtxefz0d61k64D99MaDeDTNXoSQXoSIRwJYVNjZ3No2UqmivVB9aZiQ6g3DXmj2UousJXGbqmwA25457aon7xVoVRx0bITpK+dIxo0uXbxHMXZNAgdX3IH1tgl0A2MeCdmJEFTNMwv//I36GhpZU9rhO5EkNaoH+AGYbS0kqli/bhtbwoh/mvgD6SUs5vQHsUWYatpyLfjVoXXGm3xWjp20zmLoDl/CPzihb816qc16r/BVdQW9dOkV7j48c9ACDJTo+RmxpBOBbN9L5X0GOChhRL4kzvYmQhw72NPc6Cnk3jI5KGd8Rv6aemfG6UPG43V9GoH8IEQ4iPge8BPpJw/kVShWImtpCGvlqULVaNaRYvHruJ4XJrI4jP0hTjA0iMiq/+fypUJ+XSMoVP4pI1WKTE3dhVpFzHiHUjPwStmEP4QofbdtMUCPHfsQf6bf/JNAqaxMEemcuWGEpxbgdv2tJTyfxBC/I/ALzAf1P2/hRB/CvyOlPLKRjdQ0ZhslyDxrWhUq2jx2JVsl2szhWUPnVmKJuAHP36F989eJG95ZIYvYhfmEP4wRlM75eFzoBv4kj1EmuJ0tTbxG3/72+xMRoDGFZxbgVXtI7huAUxc/88BEsCfCyH+3Qa2TdHgbPczjRvZKqqOXWvUv+p3uHzpMqOXPsHxdNIjlynNpfCkwGzfiz15BaSLL5qkqb2H9liQR558no6WxMLvqz0ntWM1MYJ/Dvw6MMN8xdB/JaWsCCE04DLwrze2iQpFY7JVrKJdyTDALU8Gm5ub4+Uf/YBSxWVqYoTC1AiuY2GEE1RSI7ilPHooRsuug4SDPp44epjnnjyKt8jJ3MiCs9FZTU+3AN+SUg4u/qGU0hNCvLgxzVIotgaNGuCslom4NJHDZ2gLweHlcByHP/zjP+HSSIrx6TSZkctUSnmEpuG5DlhZhBkg0tFLS3MToUiUR556jtCiuABsHcHZiKwmRvA/3eLfLqxvc27N0gyMRszIUCjqnaqvPl2oMJwucGxvkoLlrhjjePXVVzn72VWuzhQZuHgGJz8HbgUt1IpXKaIJQTjRTu+ePUT8Bl//xjd4+r4ewn59wf2jKorWlobp8cWBpIrj0pMMMZwqLmQz1FNgSQkoRSNT9dV3x4MMzxYZmyuTCPmWddWcPXuW77/yMz4eyXLx3CeUZifxHBtNN/AKs0ghMJta2LHvXqJ+jSeOPcrf/+oxAE70p/AbGkFTr6vvdzvSMD1fnZxh0+DkaIaxbJlsyeHY7iSF6wtvPUwklfmgaHSqvvqC7XCwPcKBjthCfKCq5GgCJqem+Pf/+Y9583Ka8ZEBCtMj4FgY4ThSerilHL5gjHjPPjpbohw50Ms//NVfAuaFwLWZAvGQj46mQN18v9uVhuh5x5MLm1lG50ogJXtawpwenmN0rkRzeHltpRY0asqgQlHlVpvjTg2kKdkunwxMc/q1v+Dq6DS5TBpr4gpeOY9mBND8QZy5CTSfH3/LDvRIC7GAn8NPv8BIxub8RAGQxEMmmZJNImTWzfe7XWmI3i/ZLufHsvR1xShYLmFTx/XgYHuMAx3RW2YzbDYq80GxFaj66qulnyP+z0tMALz8ox8wPjRErmQzc+08dj6DEAIj3k4lNQxCx4i1YiZ3IqWHsfMBRi0/e0wDqzJ/2lhHzE8i5Lvh1DFFbWiI3jc0gSfBkzdmLtSTAKhSr5kPi036pTtDFYrlWOrm7OuKkStX+MFLrzDQfwnPMJkbvICTTSE8F1/rTpzMFFK66KFmgp37QQgS7Tt59PHHsR1vwYI/0pugYLkAah7WAQ0xAotdQ4sn5mKhUE8B2nrLfFhs0vdP5dnXFlEBum3IWr+RpW7OmZzN6+9+zLs//zkYfrKjlymlJqBiocc78OwS0i6iByMEO/cQjoTxBUI8/fxXMHWNA21RHtgRX/huz49l8SQMpgpqLtaYhuj56qK1kv9dBWhvzeKDxB1PEjD1hZ2bqp/qh/VWZm51dsDSb6S6bwA+t7SX1hz6+PIgJ157iYDfJD06QmH8Gp6VRw9E0AIRKpP9oJsEk910dO8iHjT41q/8Tb75zAMETf0GC34qV1axtDqiIXre0MTCgp8tVbAcl6BPX5jg9R6grbW1Uv2gS7aDoQnKlRv7T1F71luZud3ZAYu/kaLt8M7laS5O5kFKDnbEOL6/ZcHNOZ2zODs4xUt//ReUbAurXCI9cIFKYQ6hGRgtu7DHPgNNI9CUpGdfH/d1R/na88/yK998Gri5XISKpdUXDdP7Rdvh/FgWv6FhVTyO7EosTOR6nlT1YK0sjlsc6U2oGEEdst7KzO3ODlj8jeQth4LtETENhIBi5fPNYyHTwG/YnHj9JWQ5h08TDHx2mko+jXQ9jEgTlakrCM9BCycw2vZTciHS3M63fvErwPKWSL3G0rYrDdP71YndFQ8tVEGsUs+Tql6slXqLWyhuZL2VmaX3W3p2wOK5EPEbhE2N4VkHkHTHg0T8n+8Z+PFLP+HUp+eYKnpcPfcxhdkppFNG84eRlRLSLkMggq99D0akCaEZ3PvE86SLDkFTrjj/1ZysHxpmFCJ+g4rjcXUmT2gZt0a9Tqp6tlYU9cN6KzMr3W+5+4ZMg+P7WznQEQM+T8I4NZDmo48/5o//7CUsYTLcf5FyahRpFxF6ADwX17ERviBmopNgyw406dFx6DhlLciliRyHd8XV/G8AGmxUJOWKS8VxKdr1FQdYiXq2VhT1xXorM7e739LY1a7k59dO5cqMj47w5qs/oeBqWLMjFMevUCnmEJqBHm7CzUwjdB9GU5Jo9wGipmBv3xEOPfwA93bFKFUcpnLWsofZ3Kodis2nYXq96mIpVzzmijZvXJzi0d3JZc82XY5aTrZ6tVa2E/W42Ky1Tev5DreLXVWKOX74V3/O5ak806kUc5c/xcnOIgTo0Zb5/QIIjHCc2I57iYYDPP3APh7/6oucm8jx5sVpNE1DAjM5a8XY2FpiaPU4hluFhuhN13WJ+A0sZ14IGJrg4kQOT0JzyATkLYvPLTfZ4PbCQ7E1qIeA/d22ab3f4Vaxq3K5zJ/+8R9RLpdw7DKFwXPY+RRCehixdtzCLBIPEWrC17EXLRAhEgzwjW/9DQiEQNNJFy2KlgsISpWVK5euNoZWj2O4lVjVCWW1ZmpqiomRIZ7Yl6QrHmAqV2JstkQqZ5Eu2hRs75anGi09+Wg6Z3FqIM35sSynBtIUbXUS0lamHk++WmubVrq+WgJirXN4pdiV67r83h/+ER9dGmK64DB04TTFuUmEW0GPtuBVyniVMpovhD+5g2BzJxqSngefxDHDGEJguS4CQaZUoX8yR/9kHk2srR1321+KtdEQIlVoOr/3h3/EP/3OP+b+7jgXx7PEgj4uT+eJBU2aQ9otJ9LSyQbURSaPYnOox4D9Wtu03PV3oyWHTIO+rhhTOYu26xu9pJT86Ec/4uyFS1SEybWz72LPjiOtEpoZBKHhFecQuokebyPUuQ9T8+jY9wCPHz2MT9e5vyfO/T1xUnmLkdki8aCfUsW5IctvaTtWE0OrxzHcStSsN4UQOnAKGJVS3vKkMzMcYyht8X/9v9/jm7/6d4mHTBIhwVS+xKHu+cJz1To6Sw+6qP558WSD+W3talJtD+oxYL/WNi13/WCqQLpg050I3vLgmKVUdxGfGZ7FkYLRdJHj+1v58L13eeOdk0yWND489T6jg1dxi1nQDUSoCSc7BZqBHm0h2nMvIZ/Grt5e7n/qGUJ+nZBPv6HsSypv4SEJmrfevLiaGFo9juFWopa9+S+AC0Dsdhe6UuA7+AUun36V//x7v8/jX/4W/Wkbn9AZSRc50BEl4jduqR0tnWxqUm0vNjtgvxGBzcXvULQdLk1kGZ4tMTxb5GB7bFUKTdWKGEwVOXklxb2dMaQANzXET370EuembK71f8Zw/0Xc4hwg0AwTLzsNgB6KE+w8QDQcIR4L8+Vf/CVePLKHRNi8Ie103gIQ7G4JL3sS2d2+v2J9qUmMQAixA/ga8B9Xc70Egk0tPPvlrzM9Pc0nb/8ETXokIj7OjmUZShVX7UOs+lQB2qKBG0rtqliBYj2oLra3ikEtvuadyzMMpgprmn/V+X6wLUp7NMCBjijAbedx3nIo2S6pvEW6YHEtVWByZJAf//AHjOQ8hgYHGe8/h5VLgechfCaeU0FKDxGMEmzfTbi5lVLFoevhZ/EFgiTCJruSYUKmccN36DM0ShWHE/0pPh6cVfG4OqZW4vW3gX8NRFe6QAjxHeA7AC0d3XTG/BT1EDse+gKfffAG/jmHzoeexvE8zo5meOZgKxXH5cp0nrCpLasdLVdWt2C5XJrI1sWRlyo9bmuwNBNmOmcRNG8c14UT9/w6J0fnKNguzWHfquefJqB/Ko/jSQxN3FSZd6X7VLPvXCnpbQlh5eY4885LtEUDjE5MMXH5U0qzU+C56OE4rl0Cz0ELhAkmd5DYsQdNugT2HqGtcwc+Xbvp/tWNn5qA6VyZsbmyOomsztn0ERFCvAhMSSk/FEI8s9J1UsrvAt8F6HvgIXm0N8nYXJFDxx8jLCxee+2nZF2dBx77AqYhrtc2F8zbD8unKCz+QMcyRU70p/CkZHi2VPMjL1V63NZhadXO5RSN6jVjc2VA0B0Prmn+eRL2tUUImDrlist0zlpVvCBkGjyxLwlA0mfzhz/8IZZtMZHOcumjkxTnJvGcClowivRcqFjgCxBq7iTUcy+WZRHv3kvvwYdojZr0NIduiAsAWBWXTNFG1wTRgKFOImsAajEqx4GvCyG+CgSAmBDi96WUf2elX8hbDh8MpBmbK7Gz2cK/4xBHHsnx6ccfMtwUZX/bU5QqDj5DY29TdMVMoMUfqFXx8BsazRGT4dlizY+8rJeaRIq7Z3Fgs2S7XJsp3DSuiyt7hnwaBdtZU+JCxG8QvF5OXEMwNlvk6nSeixNZ7utquuk+Sw8meqgryG//1Y/J5oqkSxZTFz4gPz2Oa5UQ/hDCMHHzKdANfLFWQjv6MHVBLNFB9+GnONgV59HdSZ492HbDPJ3OzbubogEf47MFWqNBWiKmOomsztn0UZFS/ibwmwDXLYL/9lZCAEAX82Wom8N+9rVHyZcrZHuPoA9O8dGJt2mKRWkKHsVDkClXENe16qUs/kA1MX8wRsFy6+LIy3pLj1NuqrujutgXbWfFDLVqWYeVisHd7v6Lhc3F8SzRgMl0rky54t5w7dKDiXYlTF7/wZ9xaWCM8bzD5MWPsGZGwC6AbqD5w7i5GRAaeqSFeG8fkWgUwzDYe+x5Du5q5deO7eRAe2z59gqB7XhM5Wy64mFA8MS+JC2RwN106bKoebo+NETPVRyXTMnG0CBbthmcLmD4NHqPPINjW5x796cYhp+jDx3i6nSBezujnB/LcrT35smxOPPgaK9RN5OontLj5uvTz1CwHcKmsVCbXrF2bjeud7OQLRY2nwx7FG2H7kSQWNB3Q1yiKiyyVoXJbJEr777ElYFhpsqCmcsfY6dGoJQHAZoZmhcCgAjFCXbtY+/uXoRrc9/TX+PQwT185VAn8bC5bJtao34OtkcYz1h0x4Mc7IxSsNwV9xHcDcqdun7UtNeklD8Dfna760rZNDEvT9kXxap4XPrw5zh2mVLXQ2j7nmDq1Ku89uPvE48ECbZ0ghSU7NvnVddbOlq9tGc6Z3FmZA6foeO4Lgc6ojcUJFOsjZXGdTUL2WoExWK/v9+noQGXJnL4DA1NwO6WMOfHslyZyvDxm69Qnh7ACMW4+Ml7lFMjyFIWAOEL4JXnD6chEMXf2ku8czdBzeH+x5/hyWMPcmxPkmszBcYy5RXTtI/vb2U6Z3FpIkfBcjfMwlXu1PWjIUpM6LrOubdfopAvEPTpyKZOLp/5iKG3/orehEnzg89SFAH+8x/8Ia++d453r0xzfiyLVXFXTKfbzimjt3v3ku0ymikxnikxMleiZLvLXrfez61HNrLNt0t5Xk0aapWWSIAv9bVzeGeCAx0xfIZGMuynVHEZTBdJRkzsax/hL4zhBeP0nz1NYeIaXj49v/DrBrJigeeCP4yZ7MHfdYCAqPDY0SP8vW88z7MH2/D79JvKtSztn3mXV5jj+1vo64ptmKZeb+7URqYhei4aizM8k+HST37AwLEX8EWShCMR5goFPnj5LzD7vkjfUy9y4c0fcOW9n9AWjxDav5OTV1O0RgM3aS7b2aScyZc50Z/Cb2grHmAfNHW640F8uk7FdQma+l0/txH7fKPavDhwu9JCVrQdBlIFSra7cBjTUo13qbWw2FV0aSLH+fEMg6kCEb/OG6+9ytSVs+jBJkY+/ZjMyGfIfBqkhxaM4dmleSFghjATHQR67kW4Dv54N8G9R5jJ2xRsl76u2G0zoqpstIVbT+7URqchLIJw0M+XvvIiRjnN6Ol38PlNQvsexZUQ022KZ18jXyoRvu+LCE3n9Bs/YGJiErmCtrVdC1gV7fnNPddmCkxkywtVIZfSGvVzf3ecnckQ93fHb0oPvBMasc83os2LtfzzY1n6umI3ac3Va4ZTRfqn8oxlissKiltvSJPkyxWuTOX56x+9yrnTH1LSwkwNfsbc4HncbAqkixaIIt0KuDb4/BhNbQR33Ieh6XS0JHj8+V9Eaj6CPgNPzmccHe1tpq9rPsHCZ+g1HdOQaSxsDFXcOQ0hCAxd0LNnPz2HHqU4eZXBcx+itewm0bMPy5FERYX8J68RN+HwF7+JpmkMv/cyup27Sdsq2vOBs4rjLvybJm6/I3MrkLcc/IZ2Pa+7glXxljWnQ9cDxI/vTa5boLgRzfiVCr3dzVxZKlw8yU0L2eJjWXuagxiaoC0aWPY+Yb/OxcksHw/NLbiP8paDz9BpCvr47JMPGLnwIdF4M+mxa1w7/wlOZga8CpghECDtEmgGRrSFQE8f7S0JQkEf933hq4TCYQwBpcrn6a3Vxbc16m+4MVUsT0OMnCfBdjx6+x5mLp1mpP9jDiQT3POF5/jwlTnSqWlsp8D4uy9hP/I8fV/4GoGBt7nw9o/49q/9XXZ0tC6YzO9cnqZgexgCDnTECPt1zo9lG8plcadUc887Yv7b5nWvt1nfKGb8UnfL4jZXLapbudVux2oE4sJms0yRK1N5JILzY1kOdsQWBPNyG9LGM0U+GpplV3OIfKnCn/7odSYvnMI1I0wODzDdf5pianxe+9d8CE3glbIgdLRokujOg8TbO5FuhZ0PP8funk4e2pngqQOt+K8fD3urYo71OqaK29MQI5cvO8zkbVqifg4dexqnmOPKqbeINyXYeeRZrvzgT6m4Eke6DL3/Mp0v/BKPP/d1Rt9/hT/+g9/jH/3D34B4nIsTWc6MZkiE/ORth/t74gtaWdivMzZXZjpnbdkMmbv9cO82Z7tesqJWYqWYQFWJONGf4tJkjoBPp63Jz0CqQO/1GjurZTVjUL1mIFVgrlihaLkIAcXrO4jBAj4vkRLyaYxnirx1aZrOWJAPtBTW+GeMnXuPA7u7uHblKjMDZyinJ+eFgNDB8CFLedA0RCRBqHM/e/cfJOFzaOv7At964Qtoms7hnXF6msO3fJ96HlPF6miIEdQExEM+xjMlQsEg/+wf/zrf+97vcOqNH1HY9RRy16OUL7yFEWlGw+L069/Htr9KV9fjXP3kVf7N//x/8tw3fgXXCDE4UyDS7QMkpcq8eZ8rV/h4MI3lSBxn/mfLbS7bCptX7vTDbcRg71q5VTrivP9bkik5DKYLXBiHgK7d8hjGlVjNGIRMg95kmNF0kamcBUiSEZMzw7NcS5dAygULIexPcPJqipaISWuTn+//5C3mLr9HygkwfuEyk599RGF6FCqlBSGAXQQhEMEm/K27aeo5gOGUeP75ZwnsOYqu6yRCvnWJDynqn4b4kjUh6GgKEDJ1goaGL2By7Be+zpn/8DvMnfkpwUPPIXsfpDR4GqN7H1ohzbm3fsz4oWdo6j7G0Jmf0v8fvscv/c1fmzeDNeiNhxlOFfEZOtlShbzlEg+anLiaxpGCzqaAyjRaxHbI2b6V22b+z4J4wCDi15F4BEyd2WJlTVbkWpWJAx0xeprDC5lbHw/NETENhIB00ebieJZU3rqeZVTk5++eZPD0Cbo626lMXCPV/8m8O8ix5oWAzw/OvDuJYAx/Sw9Nu/toD0iOHXmQI8efxfUkBzpiNd1pvxWUrkaiIXo45Nc5vDOx8GHmLYd4aA8nnvoKP//RX5A79xaJB58joZXJjvWj7zqMPdHP5CevE3zkOXqPfYWBky/xzo//goe++HV2t3TRHQ8xkS2TDPsZni1QcV0qnocnJYmQuZAFsbRa5FZeCG9FIwZ718qt3DaLN21JAVcn85wdyeAzdEI+bVWL5lrOzl7p2rCpMTzr4Dgus4X5IoujsyWiAR/l0c+YufA+9+zawcjIEBOffUQxNTYfDBYaWiiGV8jM12UMRAgld9Ddd4QdcZMnH9jPP/nHfw/DZ9Z88d3uSlctaIje1cR81sRiLeFAe4y/+8UjdAYl77z6Q3ZYF9n/4ld544d/yfTIpzTdc5zy8BlmPvkZHU8+zwPPfp3h91/mw9f+mr7Ov4fntWBVXIbTRa5MFTANjYJdoSXiZ7Zo07ykUuJ2WAhvxXYJDN7KbVPdtJW3HO5pi3JxIremqqHLlaceTBWWXfCWUzwifmPBQqieMtYcMbk0kef0ByeYvPgRLa0tFGYnGTp7ilJqHFkuACBCUbxi5vqu4TDBli4OPHyMh3c24w+GefwXvkH/TJmjvaGaj+3tlC5lLaw/DdOLy22EOtARZfhgH61+l3Pv/5zitdPcd/wFTr36lzjXTnH0ma8STZ1nuv8kj734Ike+/bc5+cpfcfInf8mDX/xFcl6YK6kcluNxf1ecaMiHBvgNnXm16XNC5s1nvG43Gj0wuB4LSLUPIn6DqVx5TVVD13J29tJrrYrLySufz/++rhh5y5k/G/jc+wye+QA9nCAzPkb/J+8zOzE8Xy4CwAwgi1lAIvwhQi1dtNxzhId6muluiXLk+b/BjtbmurF0b6V0KWthY2iIfQSelDdthBpKFfmrj0c5P5ZlNrKH3fc9BNP9dLgTPP3VbxIPm2QuvEP7/U8Rau7g+9//PlZ6nC99/duMZSx+93u/y6unznFtpkgqZzE0W6BS8WiJ+NnbGsFnfH68HsxPwPNjWaayFv8/e+8VHFd65Xn+rk9vkPAeJGGL3hSdynupukqmJHWrRzM9HRu9EfuyG7HmYZ92XzY2YmMnph9mYkIxO9NuWi2ppZZK5Q2rWEVbRW9AEiAJwvvMRPrr9yGRIAACJMiiA4v/CEaQIPLmd7977jnnO+Z/ukdSj3zPwaOG26FrWAlKJ6TboVBY/JlSHf5IMkcqby5gzC05HpUhjZZyPycHkgvk33GhsybI+a++JHXtLJs71pCdGubSySPExwauGwFJLs4UwAFZw1NWTU37Nnz+ANM5gx//9E+JlpU9VCfdm+3tamxMXA1YJYaAGxqhcoZFwXTImTaD8SxSw2a2bdmE3n8ac2aKNTtfYiqR4vj+93np9TepaVzDyUOfceCrkwTXP89YzuXEvj/S03uZK5NZ4mkD03YwLWfJl+JRF8DVyAN0O7gXz+9OulpLnymtqaXcT6pgkjdtTvYn5/Z/vuNxciAJuAvkH9fhP/7Nrzh8+AiOt4zLPZfoPfUVybGBYjhIEEDxgG3Ocgl50KLVhFo2YKpBLENn7ZMvEYpV37ZBux9Ybm+/7SHae1Rwt0kAACAASURBVIVVsYuiwA2NUHmjSCiXLZiIgkhN2Mcze75HLpvn46OH0BueJNT1HS4e+Zj/9De/pGHHixg5m6++2E+4sRO541nsk/uYPv0pRvseMpWbuTieJqhJbGi4TqswkS4Q0ORHWgDv9Li9mmK13/T53c17nb/fk+kCg/EcZX6Ni+nUHNPrfMOlWza66czJ/5PNYX79699w5Ovj1NY3cP7sGUZ7TpGaGCyWhSIUu4aNfPHvsoocqSSyZgORilrQszRvexZPrJa8YT/wkN/t7O23JVd1v7EqdlEUhLlpTlAUBseFZ9vL6RnLMJTMMVMwuTKZ5dU3fsAHp/sZPLGPhh2vEGrfyXTPEYyvP2PHs69ydkyn/+JppLIkWtdz6D1fkuw+yBWvSO3unUiyNFeqt1g5PqoCeCcVUastVvtNFMjdvtf5+z2eKmDYpXzU9djQfMPlVSS2NUVxXFCw+c2vf8XJMxdQI1WcPX2SS2dOkJsaxp5NDKN4igbBdUFUkEKVeOu7iNY0o9lZ2nc/g1O+DkUSGIxnaYytPEF8JwbxZp+5k7190IZrPlaTM3QzrKqVlyos+qezdNWGqAp5cVwB24UnakLkTZvRjMX3f/xT/v5v/46rRz7Eu/4F/Gu3MHnpOF998SmBtZsRVY1k7wmwC1Rueo7pC4cYP3eIs6rNrjXfmxvmsVg5Lj6q3o4QPMwCcyfe8r0sp71Xe3WnCuRu3+v8/S7zqfhrRCxXoC7iwa9Jc6fQ+dP0HBcwC/z9P/43jp7vI6VEOH38a6b7zpObHpn1/ikagVJOQFQRI5Vo9Z1E6lqoUg1qO3exZedOCobDs+2V2K674vu5E6V9q8+s5rLs1eYM3QyrZtWLBabEgjgQzzKSyNMzlmY0lWfnmjIKjsJbf/pn/O4f/4FU3wGEtqcINnYxM3ABxZYoW7cFW9LQr3zFxMlPqNz0PO5YN9O9p9j3ocRTbT9HkoqNZrpZpGFeagbsckKwWJE97AJzJ97yvQqVrYQm+37jbt/r4v0GFoxPnS8nAU3mYO8ko+NTHP7oXzDyOYZMP1dPHWb66jny8fFisxjCbGLYABwQFMRIJZ66DrzVaxH0NFrbNjq37KIm7CXiKcqlbjlLjnVdCneitG/1mdUccl3NRmwxVs2qlxIYn1qcY9xVG6JgOSBAVdBHyKNSEYpR89//Jf/wt3/LqRP78K9/EUHXyQycxUJEqe1CUjRylw5gXdxHeOPzKOEwx06e4P/4dwVe/t6fYAoKumWzrTl6wwNeTgiWUvr3QmDultc8/zqLGS5vhnsRq53KFPjg7BhjqQIVQY3qsOeheLnuxb0uPp34VJn+6SzxrLmgNyFv2Bw+28vZ/e+SKpgkLQ9Xzh4gNdSLmZgAZ9YIqN7Z/ADzjEA7wfp2PGaamjWdtG/fS03ES9CrUBZQGU7kCXmUJce6LiVfd6K0b/WZ1RzzX81GbDFWzcqXE5gSoyYCeBSJvGnhVSU6qkN0VIdwnH/Flf/3P5I49ynhDc8jOBb64BlCHg2ttg1ReZH8lQPMHHqXXS+9jqc6xrXuI/zXv/lbvvPKD5C9XrK6TXlg4XqWE4LlGoHupsDcrRPGnR71Fw9DuRsokbqNzxSYKVgIAkQXNfU9SMy/13sRuioNkxmMZxlM5OioCiAKcPT4KQ5/8FvCwSC2LDFy+jC5kSuYibEilTTMGoHZ0JCgIIarCNa3E2zsRCzMEGtYR+fO5+iojjCVLTCYyLOu0k8yb9EcC9zQEHcz8r3bVdor+czDFPO/HaxmI7YYq2rlSwnM/IdRSqjNfyjPbV7Hgdd/xNv//Ety5z+n46nXGTovMN37NRFRorK+jdrmH3H+wHsc//Rtuna9QMOOFzn1xQe885u/p3X3y3x3Y82C7ywpgq7a0A3ft9zJ5W4KzGRav8FzvNux76WU3b0McZVmJZSHtNmTneemNNn3C/crzFecISCya22MkWSB+qiPX779EUcP7EfxBskZNkNnjjA10FNkEXVnx4dK6sKTQLgSX30btW0bkPQUTU900bHnJbY2lRHwKBzvz+OVJXSrOJNjOJmnzK8sWyq9WC7uRGmvVkW/Ejwq97b674ClH8b8F/h/+cEuyvwKn779G+RrB/m3P/kB77zzHvHRU+iaTK65g+DGl7DO7efqsX34tu5i7d7vMXJiHxe++CNXNsToqN4xd92lOGBKCb6VKP1v4lEu5Tneqde83EllOWV3L2Oic7MSwh6iPpU962KUB1YeqloJbnff72WYb/FaRIG5nFRQFfjy0/c5fvQ41bX1XDrVy2D3cVJj/RSSk+A6xYtISpFWGkAsngQC9W1Utm4iKmTZ+uRGvv+jH2O5Ah3VIbKGhQskcyYzeZPGMj9bGiM38CQ9SiGPx1gZHsknvNQL/L/+cA8vd1XxL7/+Jalzn/OXf/ZD3v7ju1zqOUZCltDKW6jb8QpW39f0nTtGdXOCLc9/n56jn/L+278l4ObYvmsP/fHcgjmyy/HFLI63ltZjWjYgoMjiHdXs5w17gefYVh26Y2W8nNFaTtndSwVxr4/Zd+LJ36swX2ktecNGtxy2NEbom8ri4jI4Hmf89GdMjo0QqWnkwIkzXDl7jMzYAGY6wRz1iSAVm8UARBUpUomvtp2KdRvxGjN0be7i+de+jyTJKEJx3gaAT5HwhKWbGttHKeTxGCvDI/mElyv93L2xnbrIX/Jf//bv+PSd39K05QWSuQKjPUfwOy5a/TrU1t2Ulce4dPwIA6OTNG59Dtkd4t0PP+bzU71se/ol+hNGkcVXKb5ct/IQ56/nymQGcFkbDt5RzX7JkGThrvDFL3WaWk7Z3Q0FcTOv/F4es2/Xk19qpOndCvOVDPpYqsBM3iSVNwl6Za4NDLPv3X+hUMjT1dHGgYOHGbh0mtTIIHZuZvbTAogSOLOd0aKKFKmirKWTurZNOJkErW2t/Oitn7J9bfmc4StVI4FAR3XwlmypD3vI42Eux16NeCR38GZeW2NjI3/6Zz/j//rrX3DxwPu0bn+R8fQnTJ4/SDpvUN7SgVbZjr9TJt59kL5D79L02ptsam3ii8/2YWZTbH7mNRrKfDTHipObesZSXJnM4FfFufnHy+UN/KoICN+oZr+l3D9X0novXoLllN03ffkeZBnt7Xjy89cJAi3lfvzade6pb6okA5qMbjnM5E3CXpWQV+bEqdMc3PchXo+XSEUtX37+OX0Xz5KYGJpjEAUWGgFJQ4lWEVuznsb2TTR58lR2PMHPf/ZnbGi8nl+ZSBcWyI9Xle64H+ZhwMNejr0acd93TxCEBuDvgGrAAX7huu5f383vuJXXFq2q5aU33+Kjt/+Zs1+8S/PG57ly6iDxS0dwXBuzuRPdX4Xc/jypngMc+fB3PPlvfsKul97g0KfvMfCrv6PhL/8cX816cobFTMFkLKVT5lM42Z9AkaWbVlvA0hz0y2GxEnsQA0Puxsv3IOuub8eTX7xOuO5Rm5b9jYe2+NTibAPdsrEtm5MHP6P79AkC4TIcXM4c+ozRgcvMjA/PDpGZhTDPCChe1Gg1/vpOalo3YqYmKV/7BD986ycLjAA8emyej1L9/sOCB7F7FvA/u657QhCEIHBcEISPXdftvptfcjOvTRRgRgxTu/0Vet/9LWMnPkJp3oNqOMz0fI2uG2h1XWjBCBV7vkdg+BjvvPsOHes30bjru4yd/oJ//5/+Cz994xUan9jGZxcmCGgKZ/MGnTUhumrDuPM6NpfyuG5HcO93zPZuJElL91zqin0Y+JpW6smX1jkyk0M3HfJGke3Tr8ocGZ4ha9iU+dVvpDR9qozqGHzywR8YGxli3bo2ElOjfPb5fuIjA8yMDV/PAQAgXK8UUryoZbVUrdtIRUsHSn6aNR0dPPPqm2xsvHFNN5Of1ahUH7QcPYq47zvouu4oMDr797QgCBeAOuCuGYJbHXUdF9ZVBmiMteHwY85/8UfGLn/Jrr2v0nf+FGPXzoJoI9RuRFIUNjz9J0RSl+g9c4Kpi1dZu+1ZZi6f4e9+9z7hA2dIVW0lGAyQzBnolk1/PEdj1Mu25uhd87juZ8z2myZJc4bFwd4p4jmdkUSBrtrQXJfww5yEnC83XbWhuQ7ny+MpCpbLuFsA16UuWuwt+SZK89zFXt7/539CwWFteydnTp3kcvdpxvr7SMUn55WHKrMGYTZJrAWQozXE1m6gqb2LsJ2kfccWfvLWW+QtZzacdSOWk5/VqFS/qWO02kJh9wMPdBcEQWgGtgBH79Y1V0JRUBR+gcvjaYLRcl5+86d89fEfKFzczzN7X+a4T2O4txvXMnji+ZeIBlWU0GaUvMqljz6g++ovadnxHC1t1Ux0H2H4Uj/Bzu8QqqylsyaEXysmcUt0x4+Cx3U7L99kWufiWAoQGEhkeaIuPLcXt0vbfL+w2GA3xfyEvErxFNA3TeXs7ICWmJ+sbt+W0pyveDyyyP79+/n0s8+RZBVTC/L+R58wefUiU2NDmJnE9Q+K0sJTgSeEt7yOmvYtPL9zM4mJEV54+jus2foUY2kdn3IjFcqtsForhO7UMVqNobD7gQe2A4IgBIDfAv+T67qpJf7/r4C/gmKCdyUodaf2TWWJ+FSqQ9pcgm9xN2xDmY/jAwkqgx6yhsQzr/+YQx/9ntOfv0Pnzpfxer1cOXucr/d9wNm2PUR8GrpTTuPu1xk4vo+xY58Q2bKD+idfY3j/B0yf/AhPx1YmKncT8FpEfQrJrEHGsEgXii/zave4buvlEwQ0SUQUBBI5g5qw56G+96XyAqIAfVMZsgWT2oYwtsNtJ+rnl4omkjNMnvuS6bFhGppa6D19jQMf/pHEyFXyiXHQ5yWFkcCZPRUggC9KpLqeTU/uoX1NI/rMBLt37+atH/4JpwaSuJbL4ql6K8Wt+nAeJUW5Gh2z+4EHsgOCICgUjcB/c133d0v9juu6vwB+AbB9+/YlJXyxsJa6UyM+hZm8QdSnIAo30kn71GLzkl+V0BSRiYyF1+/j+dd/zO9+809cPvIhtZufJufsZODMYTK5HP4dL5I2BCw8+Na/iD14isne01ipCZ584XXGek5xrecUR+Mj1G5+hlTB5LMLY6yrDKEpEq9trKaxzL9qhO6bhKIqghodVQGyhkNtWGNddRCv8nDf91IJeb8mMZ4qoMoipwaTdFTdfpK4VCp68NhpDnz6AeV+hTee38lvPzzAFwcPk5ocxkqOX08CQ3GojHvdCAjBGMHKRjY8uYeXt60jm5xm1xuv8sKzz8wpNp8qEc8ZTKZ1mmK3Lke+VcPjo+o1r8ZQ2P3Ag6gaEoD/D7jguu6/u9PrLCWsS3WnOu7Sdf4VQY2O6hCJvIEoCFwcS+G6AuVbXiRx/guGTn6Ov2kLsSeeou/455z//A9ENjyP7PGjaRrhDd9hgzfByUOfk9r/Ni1bnyGtxJjsPszwB79mZMNelPIm/B6Nmog2+7J+O4TOp8rsba1YxKhZbLx7WJXKUqegjG5REfTQHAswnMzTVh1cdu1TmcLcPOvygGdO2Vqmwfvv/JGPvjyKNxTFIsp/+eUf6O4+R2JkADczr0msBLfUNCYjhCrwVTRQ3bWDmliEfCrBd19/ndaujcD1HoGBeBZRFPAr4k2N1UqU/KPsNa/WUNi9xoPYhb3Az4GzgiCcmv3Z/+667nu3c5HlmsYWP+Tc7HDxpZqj9raWc206i+tCRcCDbtv4lTBi+085e/AjTp45RlXjE4Sfe53BY/vIn/uYQOczaGXlZAybXiWG1PkiysDXDJ34BLVqHV3PfZ/jX3zK6OkvkGP1aDxFwYwR/JZ5HqUTxeIa9gelVFYS6lh8Cip5j1nDosy/fPPeVKbAr74axHJcZFHgjc219E1lGR0eYv+H73JtdBJPZTPJ+CR95z5Gjw8XZwjMDwUJ0rxTACBpSJEq/FVNRFu3EtHA1nNseeYn5AINdI+k5nIZtVEPsiSiycW5BpNpHa+69L2uRMk/6l7zw94s9yDwIKqGDjB/FNMd4mbdr/Mf8s08AJ8q0xzzMxzPM5EuAAINZT46akJsX/Mzmj/+iH/5cD9KZRONu15h8NinFLo/JbjxGUIV9QTyYwx9/QkbNm0hqNVz8dxpEjPjNG98EiM1xdC5r5n4+o+seeZFHLdzWWV0P+KxDyrm+zAolTsNdazUe5xI61iOS2OZn8FElivjMxz8Yj+Xz58kacpIFWsYP/4ViYFLmMkJrJlJsPXrFxDEhUZA9aFEq/HVtNL8xFaMVBy/5qFl92tkvZUMj2fY1RIjOzvfuMynMZHW0W0HWXDpGUsvS2GykudxN73mRzXX8KhBcN07SzDdT2zfvt09duzYDT9fjiHzVoK3FKNkaQymKMDJgSSaLFIwbc6fPMqFY4eRw5Ws2bKHk19+wsjICFVP7CadzTN26TheRSQaCtC0tpPJoctMJlLUt29hwI1A/wmsbJwfPr+Lbd95Ho/Pv+AFXUwfcTvNSit9yR50zPdBK4OJdIHukdScF9xVG7qt2Qu3QulEYLsuMxMj6Fe+4kTvIFpFE2f6JkgNnCc10oc5M46bXSIUNB+eMGq0mrrW9XRu3o47M0YwGGTHi2+CJ0DEJ5PKW6ypCFLmV+iqDZHVbfKGPTditW8qe9N7vV/P40HL3WOAIAjHXdfdfqvfW9VPZbH3vxLBW0z4VSLeaooVlfIn3eP0jqXRVImqkMr6rbuoqShn3wfvcvnoJ+x4+iVOHD2IMHaayvo2Ondu5tz5blLpLPu+PIgvWglShDPHj1BQgtSu34MvN8Wh42e5evUqr7zyChXN7XNH8tJRfX6zkl+VabsFH8ztvGQPOuZ7v4/iixXdvT6VlAc8vLmxgrff+5D0xbMEQ2F27tzJ+58dInHxDHp8DGN6DMz5oSDxOoto8QeIoRi+WB2NXZvZu30Lg1cvs+2Jdax/6rsIikbBtBewhvo16YaJZgA9Y2muTmWWLSctPYv5lBn3Ag9a7h5j5XiknspKBO864ZdOMlek8H2xq2pOKbu4TGZ04lmD8oDKX+xtQWvYTsqWeef3v6Xv97+mYcuzpGU/UxfPUVZVi6eymfErl7BdFyOTwHUdxGAlYjrO0FfvU9+xhdpdryEMnubtt/9ArLqemp+/RWWwYU5JDSfz4LrEAiqnBpMkcsUk9rrKAFG/eoNRuJ2X7H6GZx6097+cgbxXCcKsbnL89Fk++/hDphJpmts6UVyDdz7+iOELF8iMDGKmphdVBS0yAoKCFKnCV17LE9t38tLWNuKjw+zYuolnXvouDgIg4OAuYA1dKv8iCpDMG+imQzZvMDCdu2E4/f3y1B+GsOBjrAyP1JOZL3imVaQGyBk3zkhNF0yuTWUIexXgOhVEQJMxLIdUwSSrW8gSnB5KsqEugu2L0frUm3z1ydsMn/iE+vW7kTv2cOHr/diSilpWjz7ejyF5EFUfhakR/P4gruJlvOckufEBfvDm9/C6BXpOHOL/+ff/gR+8+hwvv/Ac25vLmEzr+FWJkWSBZNbEth36prJ8dmmCtRV+NtRF2NtaPncvt/OS3akivBv8/XdLwax0LcWhPcYN3b8rOZXc7v0Ojo7zn/7+n+m/dpWsGMAN1HHsk8MkB3tIT40yMTqEmV3cIiMsNAKqDyVSQ7immfZNO2ip8DBwrZ8tO/fws++/iotAQCueVudXJcGNMqCbNvsvTTIUz5EsWOQMk4FEnm1NUfa2Viw4CdwPT/1xhc7qwSP1ZEqCN5nW6RlL0TeVXbJkUQAmUgXiWR3XhT3ryuc+31oZ5Kur0yiCgKyIFEyHnGGhSCJdLTXYL7+FeeUwJ7/aj1a9jvonX2Hk1OeYiREitWuYGLiC6Lj4123HGu3BzibxR8pwrDzv/O5XbNq8hT3f/REnv/6KDz75nLNnzrDr6WdZv349QY/M8WvTxDMFBuMOXqXY66BIEjnzRkqDpln205XkFG43PHO3+Pvvxsu/3DCgpfJDPWMpBhP52aE9odvq/l3ufhcbiEQ6yyef7efI4cPE8zZNnVs4eq6XwSOfkBobZHpiGHNm+vooyQWYlx/wRvHEqog1tLN5505CVhrZLPDmD98iUtdCznDwqhI5w5oLAU2l9bn5wvMVrSgwN+pzKmswkzMIeRXKAhpZw1nwLO6np/64Qmd14JF7QsVmMQtFlpZUSBndQpIkNtZHMWyHypA2x89SShqHvSqn4zNUBFSm0vpcz0HOtGmK+al5tpV//uMHfPbFl4yn40Q3PAdDpxgauIoSKqeQTpC6epqaDXuwsgkmL59FEgVQvEx8cYgvvjpJy8ZddHU+x6VLX/P1f/4HXF8ZWvMWklKIqE/FI0uUB1R028G07QXx3sVK63ZmEqzU670TpX67fEQr9RQXe/nLDQOaTOtkDYfN9RGms8ZN6/5Xer8LKKldB3vyKr995yNy2SzljWtI2gaH3/mQqaGrpKbHMJMToGdu/mWCghAqx1tWTfW6Dex9chvG9ACtDZVsefa7RGKVmJZDz1gKRZZI5U00WVwwDGl+eWipTLc46tOD6TpokkjIV6S79qvigmfx2FN/jMV4JCXgZgopoMn4VRHDcUBwKZs3ID2jF+fGPrm2DBvoqgkS8ipoisTe1vK5FydnWOx5+jkiFZV88M47mD1fsvXpV8jJYSaunEHz+HEch4kzXxBbswnvxlfJXDmBkRhBkhUcwyZ+4TAHB8qo6dqJ66un/8xRuPYH1MomvF1P0txcw+ubainza3hVaYHXP19pjczkuDadnZuNcLc6RgOajGk5N006LsZKFcztrGMpLx9ubBIEbhjhuZyBvB1m1IxuYTsu2clhPvjwQ1KJaZRwBS0bu/hk/yEudp8jGx9DT07gZBILcwFLQfUhhSsJlNcTXbOJtU3VaJkh6pqb+bd/8TMqoyEyukU8Y3BxLE1MkSmYNrplo2V1TMtesjx0rpkypBH1KWxpjMw5OEudGB976o8xH4+kJNyqd2BvawVt1UWFMv8lKSkD14Fyv0rIq+BVpAWeV+mYDi52sI5dr77FwY/e5sAHv8PXsoWGrc8zc+EwouKSUUJM9J7ADFTja9uDkp4i33cCvZAmIfsQ8hOM7/s9vuoWtPansacGmRrsJjHUR2zPk9Ts/hEtNcV15gyL/uli1YlfkzAth+7RGUYSeXBhOJ4H3BtmIczH7Xv57myT68pLjFeiYG62jqVoQxRZYldLbK67tyKo0T+dXaC0S0b8ViM8S6SE4HJlIktd1ItPEdnQEKWrNjRnnErGJTkxyke//yODA/1k8VDWsJ6zF3r57OCviI8MkE1MYKWmwMzdYmdE8EfwRGvwVTXRsn4bil3Am5+kY8dTbNv1HSqj19d8eiDJ1ck0X/bmqQt7aa0O0lJeNPbzy0Pn50Duhpf/oJP9j/Fg8Mg+6ZspJJ8qL8nHMv9l2tYcnfMWl6rWiXg1RFGgrraG13/6cz7/6H2m+k8RqWmibO93SVw4QnZkBNQAVnKM9Mn38LXvIbj1eyhTPUTTVzF1g5QgoY9fJT8xgL+hg8od3yMzfIljJ07wv/2fV/iTF5/i6af20jttcnE8A65Lc7kfwXXRTQcXl7KAykiygOvC2rDvrnSMlhTwctf7JgpjuXUsRxuyuLt3OaUnCpDV7RtGeM4/AZRICR3HpWc8RbpgMp3VyZo2NWEvXbUhTvYnGRgapOfkUeTsBJrm4YktuzjbN8SZw/sYutZHJjFFJj4OuRRgL3Wb1yF5UCLlhCvraV+/kbKGdqZHrlEZ0Pgf/7u/oKurc8F9lIza+vowuuXQWh1c4N0vNoIl3MoIf5s5hh4kVoNxfThX9QBxq5eppJjyhoVHlrBsG0XV2PH8d7lw+gT9Zw4zPDJK7can0MQwmStnUVUF07LIntuHv66Tjid30RrbzXjvcS6eOUPaFDBsG+PyKdKDPZSt3UD9njeYHrzAb9/fx3v7vqSlYwNV6zZhK16uTGSojXjprAlxpM9kJFnAp0iAW1TaeYOheA7dtNGUhUyZK00w38xorDR5e7M9XkqRr5Q2ZKnntNQ1SzmfUigllS/y+kd8CpcnMkxlDBRZZCqt41MlHBeOnunhV+98RGJkAEtU+P6L36F/KsXv/vAeowN9ZBKTGKlJnEzyxmTwEr0BeMN4o1VUNTZT376ZuqpKpoavUF5Wzls/eQsxWnXDns0/mXpkicvjaWRZwqeIVAQr7rgC7NvMMfSgsFqM66ruLH5QmO9hZvWiNygK8OWlCT4+foEvP3wXzDyVbVswtSDDpw+Sz2UQZQ+CXUALl9Ox8wUqKiuwcylOHPmS3MQAjuMAAqLgEglHqG7bxNPbuhi8eIbE4GXGUgXUymbWPLGFzpYGNjVGEIGGmA+vIuPXJKbSBu+fHcVxXEZTeZ5uqyDiU2kp9891TC83p2G5+1yscBZ36raU+5dM3t7Jvu7rHieRN4l6FZ6f7e+43WvMJ7uLZ00G41l2rY0Rzxqk8yYOEM/oTGYMfKrMlfE0dVKS+JUzZOPjXJo28NWsA8fBGu/l2tVeJsbGySYnMFOJG8NANxgAilxBoXIiFdXEGlpZv/VJnGyCKlXnic3bWLtpNw3loVt2/5ZyBXURL1nDuqOu6JxhcW06y+B0bi7hvNx3rgaltZpwr7vab4VvRWfxg8J8b7Q8cL3aqCbqIxyrYv2LP+DqiS+JXz5BfX0jNS98j8tnjpEZH8CWPUiFGQaP/JH+qk6kmnbENXsJVrWjD53FW5imYJhYhQz9Jw9wLHmF9o3b+OFrz/Px/kP0dJ9j6qt36JtooVHdw5auDi6NZeYUfECTEUWBMr9GfzzLTN7CFQQGLk0ynTWI+BSqw55lvb3Fyn+p31l8WoClGV5XgvnflzMseifS5E2HKUVk17rYbSmi+YqsVGlTF/EymMgxkiwUa+0tF1mC+oiPyoDM2dNnuHL4CFf1NNFIhKa2TejWOH2njqFPjyAWmew4IwAAIABJREFUkiSmJsjPTEFhcTWQMEsZPd8IiOANIUcqCZXXUNO6nvWd7WipIWSPyr/583/FpvWdHLsWvyXfTykJPJEukJ0lT7zdUs/5nfSXJ4rrL8nJUt/5uJro7mK1NNU9PhHM4k7jeMWxjJNcHM8wmsxxfiSFV5bI6iah3BDSyBl6J3IoTVtIFUziF7/CNPI4goxpmsjBCgLtu1D9YapCGmvUFPs++wwjlcCyDMJejfbqEJ3NVYTq2zHC9UwOXGGo5yyqa2LKPlo6N7Jx0yaqokHKgxpHr8TRbYtzQynW14URBIE1FT5yhstM3qA55p/rpl58L7dTzVPaL7hx5gPcOlS0+PsCHpkve6bmyNte7Kqiqya84meXN2z6prL4NYmLYykMy6E+6kOkGAo70Z8knjPw2Dmm+s4zfOUi1yaSFJQwobq12IUMk1fPMzY0QDYxRS45jZ1L4OTSwCKPfzFbKIDkRQrHkIIVBKsbeeHZp/HLFumJUdpaW3nqxdd4+omGubDVSuXtdjilFv/efI90ZCZHQ5mP5tjqmYvxKOBB5ggenwhugVspstupP88aDqokktVtBNfFo0jURby0Vu1EtTeQ+sPvmRk6RjRcT9OLbzLS/TXD/VexRRFjZoKZE+9R1bqZ+sonOPLRe2RSOQRJwUEmY1j0jM1g2Db6xUEC/gCVzW10fOc1rOwMp0+e4OKxL+k+dpDKxrU8t2cH4XAlXi1AQ9RHQzRAMq8DAiGPiF+VaKsKLnsvecPGq8jkZ/fnZgn3+f8335Nc6X4uLoOVRRHHcRhMZLFtFxHhhs7wpZ7jfNK+guVwsj/BtaksIZ+CiEBnbZCjl8c5dfY8fRfPoc9MIIoSFQ1r8a5dx8zICFePf4GRnCQenySbmC6OjCxkwF1UDloyAPONgCAh+CLI4QrkcCW+6lYqGtcyNniNmpDKz996k527dhL0KDfkOIodw4Xbosdebh8O9k6RNSz8qjzXhT7fI/Uq0mMj8ACwGkp1H+7V3SMsNZ/2TkMbpb6E8VSBmbyOLAmAQ8a0KAuoCILKn//rf82n+7/k9NFD2Klx1q7fjVrRRKLnGDOpFJoiEkpe4sLBITKWgOOCaxUTkbZlkrYtekZMREkilDcZGD+EdfQrahqbcCvbKItFyI1eYWLoGn/4zRUyrkpzawdr27qIBVqI+NQ5lsqesRRjqQIT6cINCloU4PJEZo5Xf1tzdMV7Ol/YVzqDoKSkRmZydA+nqI16aIj5qA37iGcKy65zPhYYk2QOSQDTcVAkgbxu8N6hHn473sf4wFUM3cAfilC9djNrqsvov3yRi8eOkpicwMgk0dNxjHQSdykDABTpIRadArQAUqgCJRgjUNmIp6ELyTHwJa8SrKvlhe9/n0hT3QIjUMLdjMmX5kQHPQqDiRxt1UGaYnevrPQxHm18K6VicXUEcMdxPJ8qs6UpylAiz5XJNCDgURVqIx6qwh5ctzjndkPDG+zr6uSj995h+OTnlNU00fXqD+k9e4Lk8GWyBYOcWcA2XSRFxdLzIEq4ih9EyOtZzEyOXEZA83qxXZ30hW4soYfBQJjm9ieo3vYaHiuNMthLou88Zwe6Ma7UsWfbJqzQBjy+8FzH9UjyeiNaSTk4LqyrDOBRJQqmTVa3cdzCgiqclSiUlcZFS0rq4mgKF5eZnMV4qoBPkVFkCb8qM5zMz41fXHyKKyWFRQFGkjm6R2bI6yanL/Yy0teLnRghkUoR9gfwVjRTFqtCzKeYuHKe8weGyCTjpJIJrEwCPZvELeSWMAAC1/so5oVRJQ9SKIYcjOEvr6G8qYOO1nXMDF3GMHV2PfcCTV2b2dxasYDzaD7uepWOUBrzsXDcx2rwSB/jweJbKR2LFVVFUKMiqN2x1+S4EPWrbKqPcnkiQ9gnoclFZSrO/k5jmZ/nt7SRdH9Msq+b018fYPir92nr2kF42xZOH/6MyclJcnoOxzQQXXAsHct1cYPlaLE12DPjGJlpCjNpHMdGVDwgmGiCw+CZQ0z0nKC6romKpnVUbd6DtzCFOzPC/i++4KvDB5E9Pgx/NTWNzRieGFBsRGurDuLXJPKGjSgIuC6ICHMUB6IAXbWhGyiPb9ZXsFIv1KfKxALFmv+rk1kG4lkM2yGoSbgIuK6LbdvkTYvB6RyKXGymm9881xgUOH7uMgPHz3Gt7wrpXB7HEqhvaqEmUI1Hcrh0oZuJy2fIJqew8hmy6SS5mWnsbBrMPDfkAICFRmAWkoroC6OFy1FD5VQ0ruPFZ/ZiZ+KMj/TSubae7zz/KtvamxiM58jq9rLG8E66t5fD/DnRdRHPbdGOPMZjfCsNwXKK6k69poAmI4kCw4kciijgVxV+sKUOTZHoGUvPkd+FPEqRWnrDVryV9YyfO8zYxa9IBMrY+tRLWKkpPt63j1wmRzKnYzsS6HlMvR83m0Cr7UBt2YwxPUB+oh87m8Q1cqTMLLLHj5jXGZs8hXrpIl6vl2h1I+va2lm/9Um2llkcOXmWq5fOcfzY16iKzKXaOix/OR3r1lBQI7TWhAGBDfVhvIq8oIN1YDpHPGvOlTGWOm/nl2oW4/TOXPfv/DK5mw0R8msSDWU+JlIFyoMqVSEPIjCaKlAZ9HDo6jTxnEnBctjcEKZ3fJr05CgeI0nP5SsoRhpVFkllwQrVE2yoxGMYyOYUU90HMTNx8skkQiFNanSSQiaJkUuDqXNj13TJdDsL/0+UwRNCi1QQiMTwV9RT17YJUVEY6jlLWdDLsy+8THPnJgKaRGPMR2PMtwJjePvd20uh1DH/OAT0GHeCx1VDdwn901mOXp0m6lVxcNnSVIyvz1VsJHOkCiaD03lMx2FdhZ+gR6Gv9yIHP/8Uv2TR3P4EcW89Z08e58yZM2SyOUQBLBdEPY8rSciBGL7G9QjlzZjxIYzxqwipUexsElwbGxnV40GQZGQBokE/0XCA7RvaidU0Y/rLmZxOcP5SL1ZyjFR8iqqQRlq38YdjNDc20Lmukd0b1pHDh8ejMZ0uMJXWSRZMFEmisczLzjWxYofuvFLNsoDKlz2TlAc81IQ1tjRF504QSw1QmR8frw55+MejA4wkc3hVmc0NERJZAxyLc5ev0Rl26L7cz9T4SFGJAzXRALX19ezd0oXHH+HS4BjvHzzJUP9VJicn8aDj6jlEM8/01CTZdAojl12CFVQAWQHHuZErSJDBG0QJxlD8YcKVdbR1raemsZn0yBXGJ+Ps2LqZ3U8/R2VZ5KZ1+ovxoGvMH+PRx0qrhh4bgruE5bptF9e1l+ggNjdEqAhqTKZ1zg1Mcv74UU4f/5qxjEWwZQOeSAXHDh0gMzWMZegokoCIg2PkcSUNN1COVLsepbIFyciRm7iGPtqDlZrELWTBdZBUFUlWCAUChDwiGRM8Hg+yP4IarqS5uYW06CcqGYyODJGenkDVkwRUKPdraIpMeSzKlZSIqwUIRSL4A2HaGiupLo8SCwWojfjom0ozlTaYzumcH5qhszaIbsHaCj91Ud/cvftUmUvjKdaU+4n4VCbTOlGfytWxOD509p+7xuR0knhimg1lIvH4NPHkDMmcQUBTcGWNWFUNG1rXkBO9yIKDnI9zqecyVweGSMTjJGbSFPIZUqkUdnYGI5/BMXK4hsGS4R9h9gSwuCFMlMETRApEUf1RAmUVaBXN1K7twFOYJmAlqaysom79bt58ehPxbHEYTMirrDjx+zA3cK0GWoTHuDUeG4IHgJuFP5byin2qvMArPNkzwOEvPqW/7wqqL8iGHXtRNIWThw9wbWCY6VSmeEIwDRw9T9ZVEcNVeOqfQPQGyZz9FNcs4Bo5cBwE28CdraDxeDQcSaU87CNruOQKBprXhyCrVFVW4PjKiJbXUF5ZRUN5gPUx6L02zODIOH1Do2RTM+iWiYRAQ5mPvGkT9nuIhoPMGAImEoNJA8MV0TSViF+jOuRlQ12YeFYnldO5NJpkJpNHdC2qAxKuqWMbetFoiQID8SxZ3cIWZOpqKnltWxs1VZVMmCo9k1lGJpLoyXEKM1PEJ8dxjBwYeQTHwtaz5LIZ0skkZj6LaeTANJZgAxVAlMB1b6wAApBU0AKooTIkTxh/WYxoTTO+ujbMXBpzaoBw0M//8LM32LB5C6MzOkGPgmk5NJT58KoSfk1akqdqpTLzoPEwG6jHuD08NgQPGUrdx6Uh4yWun1JDWtZwkAUXTZEZGujjqy8/J0iWpoZ6lIYNHLo0wrmvj1BIx5nJZDEti1xexzbyiKoXyV+GnY0jagEEqTjE3DF1nHwawSwgiw64LkGPjIOIKSjYrgiKSsTnoWCYhPwevD4fIb8XfzhGMBrDE4hgKgHihowtgOKYtEYlhibilGkOZiEPtslYIs1oPA22jWGaVIdUBFwQRCRRIFWwiectJFlBUTXaassoC/tB9tBcU87luEX3RJ5E3sIo6ChWBr+TY03Aprd/iOlkinwuC5aO69g4eg7BtrDyKYxCDjOfw7V0sAxwbG5M8irFP5a5TGhIQ/AEkYNRZG8IT6gMT6yOyrVdKI5DeqQHQYD6tg385Huv0Fwdnk1c21QENXonMrM5oOL15tNEw8p5mB4GPA5ZPTp4bAjuIr6p17a4zX9dZWCO7wdY0Ai0panII+9TRC5f7ObDjz/hWO8wlidGZM1G4jMpLp0+Ri45RS6bxbBdXMfC0bMgyghiseFJ9ASR/GFkfxRZ0XBTozjZOB67gKnnSefyc1U5Ho8HUdZQVBkHAUnxIkki5X6ZnGGjal5ytoAsSZiiQjgUIRQKEgr6cSQNW5DJWJDSBcIBL7GgxprKIHnDYSiewyuL9I6nsC0DyzTxSC7ryhRso8B0Mo1l5EkkkuSzGZKZPLZlINk6kiDgkSGXzZIrFJW8rWdmTxJ5XFMH2yoqd3ex8hdA0WY9f6f4e4uNgyCD7EH0+VECMSRPEDUUxROrIdrcRWvMy/jVboKawN4nt1K2dgvb2+qpi/rmEukjyRyTaX2OvsOrSqiSyNqK4F3lYbqfuJ8ngofxRPQo4XFn8V3C3XgpSvXiXkXGclw8s0yXpcobRRZZGw4ykswxkdbnavs3b95MZdM6xHc+49DBg1w98j5SqJL27XvJ5XVGLp0mNT2GpWfJSwqOY+EWMjiug52JY2emsTQfcrgarbadiqpqjGwaaWaS/NBlzOkhBEvHKuTAzWGKApbt4AKCJJNUNDRNwyOnsFxwRAVZVTGSkyQlAVUUMB0L1xVwBQnbhYwkoYc8pDSlmBxP5LEdB9u28coCguuAJtIrC6QLDjYugutSyBcoFAroZjGcpZsGrpEn7Ri4lollFHBtE9c2wbaLXr/rMqfcBaEY7xdEBFkD3KKhWCo0JKugepF8YWR/GNUbxBMqI1rTSKyhHdsyyI32MjztsLa1nTdefYm62mpEATY3FosASlTQuuUQ8srYLszkDXyqhCQKdI/OzCXBVxuj571oQlsubPo4BPVw4PGu3wJ3o+lnPnW1LAoUTHtu4A1cb4gqkYIV59IWXwpVkfHVdbDte42cPHESYfwi177+iIrqGvbs2U1deYj9B4/QfeECZj4HgQi2ZeKaBSxDx8mlMXIzGBNXKfgjeKvXokUrwXWQozW4Rh7RzOOYeQw9j2tbuK5bjK/n01i4GIqCK0g4rlsMfQgSsiwhihKirCJKEo4rYDsOogCp+Gz9v+NiOw6uC47rYrguEg665OJaJoZpYFsW2DaOY+PYFq5t4JgWjmMVlbjjzCp9p/h3geuNU6JQrOtXvCDLuHoO18jj3jAqUgRJBsWDqPmQ/REkbwCPL4DoL6OsvoWGllY0J8/Y1fPIuHS0tbJpx25+8tQG6stuLAOdPyu4eySFJktzk8FODyTom8qiSgIeRcIjiw896dhi3M0mtOUU/mPa64cHD2TXBUF4FfhrQAL+s+u6//eDWMdiLOW1iEKx4kc37RtYG1d6rJ3vYc0feANFQ9NVG2IiXexwLpUfll6KUrdvwfLhVXexpuw59h89RnbgPPmeg8xMlxEur6V611oyI9cwJq7gFrIYBQXH68c0DCw9h2sZ6IkxzOQokurFnqWxUHxh1FAMUVawFT+OpGJnprGzSWwjh5tNYhoFHDuH6zi4gogA6IKAQDHvIAoulu2CO+uflxpbXaf4g1J4xnVBcMkBouPiuA6ObRWv4zi4rotr28XPO/Yss+fstYRiiaegeBBVLwgCTiGDa5s4+eLEuIUnBKlY+SOrCJoPyRPEGwwSDIZRfEG8kXICta34ohWEzGmGe47j02Ra2zv52RsvkRF8yJJI/3SOsoC64JlPzj6rUtPW/BkPk2mdeM4k6lPRZBHHhbbq0JzsfBsV3XIKf7Uwc34bcN93XhAECfgPwEvAEPC1IAhvu67bfb/XMh/LlX8WvT0R3XLY1hy96bEWlk8KLvawFpOEbWmKMJXWb3gpSrNoEcCjSEiKRGvXRtY8s4uhq70cPHSYaxcPkTMhUreWdS+/SUtI4NK5M4wODTAzk2Q8pYFtYVkmqp0H2yCvm+C6WKkJ7NQ4SDKCJ4gYiKFWtuBdu4P8tZPY3hBY5lxYxjV1HMsA28TRszi2hT0bpnFLyh63eKoo/RGYZxSKU9WceU1UjusWbYcgIKoariiDYyMqGoLiQVA07EwCXLuYH8jkizkBp9T0NVsCKkrFfgBJQdL8iKoP0RtE8Xjx+QOEyyqorG+ivaOLjG5zsfssmZFe3HCAxq7NvPHS02QclUAkxMCsl98znmI8XaA+6sO0HHTToi+en5sU55HFuQ5nvybRM5ZiKmMwnMxRH/ERmzUi98oIrIYY+3IKf6UhqNVwj6sdD2JXnwQuu657FUAQhH8C3gQeqCFYymuBIn1EyUsvjQtc6vcn0/qyScGlBHkpkrDlup1LJ4aumhCaIrFnXXFdXbURwnUtpPadpvvMCeKDvYyk+qnsWMsLe7chBV5h35FTZI+fIjszjWJk0ZQAlmmiagUwCzh6HlynSGeRzOEkx9GHziNofnBcHCOL5A0jegOIvjCSJ4AUKANJodB/GkEsrnO+EbASo7i2iSCIIEoIkowriDjpqaLBkTVExYOgehEkFSs5giDJCJIKoojrWNipqWJ5aD5dvPaCnIBQ/CMpReUvyQiyiqj4ED1+RI8fv9+HrHjwhiKUV9XQsKaN5vpaZqbGGO85QSGv01pRTueL32HHls2cGc2SMCU8skDMr2HaDuPpAvGMgesKtFcHGcmbzOQsAqqMIEAiZxDyqHPjPCfSOoos8VRrBVenMjREfWR1c66z/FYycbtYLTH2myn8W4WgVss9rnY8iB2tAwbn/XsI2Ln4lwRB+CvgrwAaGxvv+aIWey2l6WOm5Sx5dF1qOEvesPGoEnnzOsnYzQTZtF3SBQvTLlqYpV6KnGHN9R8MWznaqkMLSk89skz7uiZC5VVUeEFODiDH++k/8SUpw2EqH6S8fRteV8GKD6GmR0nFp/B4POiGCUEX0dbRTRM3m0EwCtiui5vPFD1wwEpP4c6MI4hi0WsXJARFwzELuK6DIM2GbBStGIpRPQjWrIIWZRCLHrsga8UchJEvhp3SDq5j45qFuTzAgpPEHNyiwhckkCQEUUKQFURZQ9Q8CFoAUVSQvAFURcETihCNVWBH6lD9MQKKycTwNTKD3eRMqF/TSkfrer6ztQO/IqObNk0xH7mCxabGKB5VpCrkQbccamp96JY1Nw5U8rnFEwEuzTH/gvh/ZVBjKq2TNSxqwh7qol76ppwbQiJ3S7mtphj7neYcVtM9rmY8iB0VlvjZDTWsruv+AvgFFMtH7/Wi5nst85u/wKWl3H/DjN/FXs50RufUYBJZLCYIt81STCwnyH5NQsAlXTDxKiJ+TVpyXaXP+1WZI8MzxHMmogAb6iKUB1UqgxqW46JJIkMpk9aadrbv3k1nyOL9/Uc48C+fM5O9gCMohGoaqOzYQYXixafHSYz2U0aK6ZkMwxNxHNmP49goZgERh0IhX2xQsy0ExwHbRHQtHFzcfAHHtot5g9nKn2Kc3imG+GfDQHNe/Dzl7pYU/tzPmZUKsagZZyuARLFUBaQiSAqSIiMqXmTNi6TIKB4/NhKOpCF7AwRiNWx4og1HCTI6Nk5hapB4/wUcn4KvrJqq9VuoX9POmqoIYZ9CW1UQEYGPu8fQZInusRTjGYOor8geu64yMNcbUDLAwA05goVke/IChtSlBs3fLeX2bYixfxvu8WHAg9jVIaBh3r/rgZEHsI4bUPJaFvPpe1VpyRd1/nCRkwNJJFFAUyQayrxzYaTlBLkY2gnPUT47y5i60ueHk3lM02Yqo3N5PM3F0TSaLKBbDgXdojykYjouEZ9GfzzHpoY6Xn71u5wVmrh2tY/44GXk7AR27xiOIFGIVlPZuIaWlma2CiaHTl1geGiQXGICCQfXyKP6guiWC46FY+QJaBKuY2MWctiWiW4Y2LaLa1uzSt9BcKwiM6rj4goguO6slZ+9wVI+wHWvl3yKIpIoI8sSiiyhaQo5WwJJxRFkNFUGWUOSZWwHVF8A1eOjoqoaxx8DfzmO6+Jmp+m7eAHRSFMwHSIVVQjrthJrWEtjVTnlQQ8Bn4JuO/gVEb8qkzeKSWndcjBsF78qE/QoyJLE5obIkkneptiN+Z/FMlHCUiGRu6Xcvg2zBr4N9/gw4EHs6tdAqyAILcAw8KfAzx7AOpbF7b6oGd1Ck0UqghozeRMQbpkQKyWBi/0F0tzM3qVyBNuby5hM65i2zeWJNH5Nwa/JxLM6Ub9K2KdhO87cdXS7yJvjVSU6a8vorC0jq2/i+fZyzl26TG/PJU6dv8Do2UMMnzlENBqlqraemu3bwRtiTVQj6KQ503ONqwNDjE5MgWPimia2mcdSAiiiiFcSKBQKGIViN68gQNAj41NE0nkD07ZxXQfHLlJIANiuiyiIWPPKixRJxOdRaawII0oyIzMFnLyB5vFgiwo+bzHpGyorJ+H6CURi4LpIZprc9CgzV7qRRSgPeSFQQfvmbRiBKv7/9u4tNpLsLOD4/+tLVXX1xe5u29O+zf22s8NmVwqrza6EkiUPS4gSQEICiYsEj6wUJCQgyhMSEg9IiAeQEIKIBwIICSJWELQsSqKgLIFNsrPJLrM7mtm5e3y3x32/VB8eqttjezx2u6ftcru/nzTSeLo89Z2u7vNVnTr1nUx6mBvzeSbSLk0gFBKyCZtPnR5hIV/l5mKReqPJqUyMYr1JueYiYshX/SqrW68Cu7HdkEgvO7dBWGtgENoYtAN/d40xDRF5HXgTf/roV40xHxx0HDvZ6xe13annhhzSrsXLWxZd76QzgCcv7+haEU5k28NJfk0egJQTQYBMPMqxlIMTETwjSOseR9PAiYxDsWY4PxbnhZNZLkwMce3SeWT6ea7feUCosEioMEd96S6h+Zt4xjCTTDA5NcXpqRze0CTxhs3SWpFa8SG1Yp4xKlRKeU4k4e78CotrJbymhzQNqVgIKwRDGXiwWqLWaBIN+W0YH3IIhUIUa03K9SbVplDxwLEs0kmHXG6ENS9MIhshJA7GTjCUSnBmNEnOqXP73gPyN25Rm7+KABE7Qi6dJT3yCazhHOfOnqaJ8JlnctQbHu/cXGE4ZrOYr+EZQzZuUa55NDFEI6H1K77zuTQxK0y1nmWhUMW1whzP7O+Sjtq5qcMkkE+iMeYbwDeC2Hen9vJF7fYMb+PQ0q2lIuWa99hzBBuNJBw+99z4+hh13A6zmK9RqjU4nnUBePv6EmB448oMU5kYd5YrTKQd7Ghk/cbzcrHGkGtxYjJHkxyTwy/yc89PMDs/x/zMfX587SZL87Ncvfljag2PxUKNalOIuilwEqRzY6ROHufF81NINMb/zRaZXS3ieQ3OZm3cSJNzIy5Xbi9xbXaNXMpmtdwgG3c4NhSj3ITp0RRVL8x/XV8gHXeg2SAZrlNdekjt/jyh8jLe0k1iK4bFmTDzTcNKFSL2MNboNOnRHONTkzi2S9qN4nlNVqt17HCY+bUKwzGL4xmX3HCMj+byNL0m544lMYBrhSlUGpsWJgL48IF/X6hQaXA8E+/sg6LUEaCnJD3S7Rleu+jcSqnO/ZUywKYH17YOF7WvDtqvzef9zuvd2ytkEzZ2JOQvKtMsAUI4LIynXJoY5vP+FNjJdIy7KyVOZuOA8OKpDLNrFYwzTGw8Tjo8jnO2iVxYY9yucevufT6+N4vjFbk3t0jl/iKF203eueuwWmqtrdw0RCIW5ZUky57gpRNYBtLVCrO369TqHuUw2FmX1WIZ64FFsVwmf2eFUkio1DxEBCcaIlQXRrNZEhPnODN9jMtnpsmOjfHBQp2pTJz37q7Q8AwTaZdbi0XsaAgiIVKuzU+dH6FY8ziRifHd60tU6h7P5JKcHkkQdyK4Uf9s/3gmvul97XSd5aNO5+wPJj3SAbuzVOIHt1dIx20MhtGUzcVcqqNphltnFI2V6izmq0xnYkRC4k+1F6FcbxCzwuvTG5eLNXIph5+YHF5fRWvmYYVs3Ga1VGci7eJGw1TqTdJDNhfOnOK5qSEaxhARYXatzM2ZBZZX13iwsIJt6pwbiWKLR6VapVypUijXSFjCdKnOxwsFEk6Eq7MFCiGLeHaYF56dwLJtYrfyxBNxil4EsV3GMmkIh3n1mWNk4haxaITRpE2p1uDe27dZLFQZcixWSrVWqY4Qx5IO2YTNQt6f+pp2o5zPpZjKuMznq4y1xvp3WpHuMM1OCaoz1jn7g0uPcoBKtQbv319lLl+lUGuQdW2y8Uc3KHebZrhxRhHGcHo0zrAbZTrj8vLZEf8LfSa7qTb+pQl/+CjlRJnPVziedTd1gnErRDgE1+fyPCzXiYbheNplKuOuJyc7GmZurcpDz+LZsQlyKX81soQdYSFf5dpsfr0M88a1jl/OV1gt1xlJ2qRdi0sTKUZvr1CsNfG8BjcWSpTrTSLAdNru3kPXAAAHrklEQVRlesvwzLmxOMulBl6yyXy+gmtFCQu4ToQL4/7ymNMZd71on2tFGEk8Kp/caRmQIM+Gg+yMdc7+4NKjHKBCtUHSifLseIqFQpWpTGzTouO7naVunFEUt8IUq34xu3ZHCI/OLtuaBlKx6KYv+1jS2dQJLuSrrBTruFYUOxrC41Gl1HYn5UTDjA85pBy/9HJI/NeWi3XuLhd56UyWYtWfFtv+v8u1+KZ1kJuG9XV2l4tVinXDUqFKs2l4984q2cTmpJiIWZwYSTLzsETCiWCMX8gvX67zvY+XuHgstante3UYbuAG2RkfpqsidbD0SAeo/cVLxqIMu1E+fXFsx4fWnvQsw4msP3zSSZnfneq+tH9vNAnjQzYfzhWoVT0mh2Mk7M3VIgGem3o0z7792uSwf/+h/SRuueaRsCOMJR1KtcZjD1i19/nenRVmVsrMrZV5djKFHQmxkK8Ss/w2JewI9YbHjYUCcSvEZy6OMZ+vMhSLkonb3F8tcz6X3FOneRjHw4PsjA/LVZE6eHqkAyfYEf/hpp0eWtvNdtttd3a59ez/Sft85dwo05n4+oyk9nbtTqre8J9V2FqptVhrcPFYgumsy92l0mN1drbbd6HaIBoJ88rZEb57Y5FUzCIkPDbE1KpeBwiuFeFkNrJe0iETj266mtrNQQzBdJNogu6MD8NVkTp4esQD5HeA/qI0+zEM0MnZ/5OUag2uzeWxIyEK1QafPBlZ76T8+wBrO3byhWqD2YfVx4Y4ttt3O07PGC6Pp5hIx3Dt8Kbf9wu6bX6vOklqT7IfQzAbO3548nMhu9HOWB00/bQ9hacdWniaYYBO9t3t2WWp1uDt60vcXCwy7EbJDTmbOvKY5Z/B79bJd9q2rQlmrdJgqVAF5LGCbt0kte086b3v9phuvMKoNzyyCXvX50KUOiz0k9mlXgwtPE1H3em+u+ko2yUzhl2Lh+UaadfasfLqdp38Xtu2XYI5NRLfVOtnY0G3XpR+2Ppk9+2l4qbhqL0c0ydN5QUeW9BIqcNGP51d6tXQQrcd9X7OLFkvmZGySbvRbUtmdNLJ77VtWxPMdhVfe9nOjU92bzfjaS/v605TeZ9mJpNSB0E/nV0KcnbHfu+709lKve7cgrpRut2Mp7Qb3dP72slUXqUOKzGbFgA5nEQkD3wUdByPEQkh4RDGa/rLaHVtBFgMaN8HYe/tO0giIbHcRGu5TGnWq2WajUaH7+vjbeuvY7Obw33snt5Rb98FY0xyt4365VTlI2PMJ4MOYr+IyPe1ff3pKLcNtH39TkS+38l2of0ORCml1OGmiUAppQZcvySCvww6gH2m7etfR7ltoO3rdx21ry9uFiullNo//XJFoJRSap9oIlBKqQHXN4lARP5YRD4UkR+JyNdFZDjomHpFRH5RRD4QkaaIHJmpbCLymoh8JCLXReT3g46nl0TkqyIyLyLvBx3LfhCRaRH5lohcbX02vxR0TL0kIo6I/K+IvNdq3x8EHVOviUhYRN4VkX/dbdu+SQTAW8BlY8xzwDXgywHH00vvA78AfCfoQHpFRMLAnwM/A1wCfllELgUbVU/9DfBa0EHsowbwO8aYZ4CXgN86YsevCrxqjPkE8Dzwmoi8FHBMvfYl4GonG/ZNIjDG/Icxpr3U1veAqSDj6SVjzFVjzOF7cvrpvAhcN8Z8bIypAf8AfDHgmHrGGPMdYDnoOPaLMeaBMeaHrb/n8TuUyWCj6h3jK7R+jLb+HJmZMyIyBfws8FedbN83iWCL3wD+Pegg1I4mgbsbfr7HEepIBomInAReAP4n2Eh6qzV0cgWYB94yxhyl9v0p8LtARyVODlWJCRH5TyC3zUtfMcb8S2ubr+Bftn7tIGN7Wp207YiRbf7tyJxxDQoRSQD/BPy2MWYt6Hh6yRjjAc+37jd+XUQuG2P6/p6PiHwemDfG/EBEPt3J7xyqRGCM+exOr4vIrwOfB37a9NkDELu17Qi6B0xv+HkKmAkoFtUFEYniJ4GvGWP+Oeh49osxZlVEvo1/z6fvEwHwCvAFEfkc4AApEflbY8yvPOkX+mZoSEReA34P+IIxphR0PGpX7wDnROSUiFjALwFvBByT6pCICPDXwFVjzJ8EHU+vichoe+ahiMSAzwIfBhtVbxhjvmyMmTLGnMT/3n1zpyQAfZQIgD8DksBbInJFRP4i6IB6RUR+XkTuAZ8C/k1E3gw6pqfVurH/OvAm/o3GfzTGfBBsVL0jIn8P/DdwQUTuichvBh1Tj70C/Crwauv7dqV1hnlUjAPfEpEf4Z+0vGWM2XWa5VGlJSaUUmrA9dMVgVJKqX2giUAppQacJgKllBpwmgiUUmrAaSJQSqkBp4lAKaUGnCYCpZQacJoIlOqCiPxka20MR0TirZr2l4OOS6lu6ANlSnVJRP4Qv5ZLDLhnjPmjgENSqiuaCJTqUquG0jtABXi5Vc1Sqb6jQ0NKdS8DJPBrYDkBx6JU1/SKQKkuicgb+CuvnQLGjTGvBxySUl05VOsRKNUvROTXgIYx5u9a6zO/LSKvGmO+GXRsSu2VXhEopdSA03sESik14DQRKKXUgNNEoJRSA04TgVJKDThNBEopNeA0ESil1IDTRKCUUgPu/wE1S7PEpsfW+AAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "stacked = np.vstack(chains)\n", + "plt.contour(X, Y, Z, levels=levels, colors='k', alpha=0.5)\n", + "plt.scatter(stacked[:,0], stacked[:,1], marker='.', alpha=0.2)\n", + "plt.xlim(-2, 4)\n", + "plt.ylim(-1, 12)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + } + ], + "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": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/examples/sampling-slice-hyperrectangles-mcmc.ipynb b/examples/sampling-slice-hyperrectangles-mcmc.ipynb new file mode 100644 index 000000000..f0f2d8393 --- /dev/null +++ b/examples/sampling-slice-hyperrectangles-mcmc.ipynb @@ -0,0 +1,940 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Inference: Slice Sampling with Hyperrectangles\n", + "This example shows you how to perform Bayesian inference on multiple toy problems, using\n", + "Slice Sampling with Hyperrectangles, as described in [1].\n", + "\n", + "This is a multivariate method, which generates n-dimensional samples of the form $x = (x_1, ..., x_n)$ by sampling uniformly from the area of an axis-aligned hyperrectangle: $H = \\{x: L_i < x_i < R_i$ for all $i = 1, ..., n\\}$. Here, $L_i$ and $R_i$ define the extent of the hyperrectangle along the $i$th axis.\n", + "\n", + "Sampling follows:\n", + "\n", + "1. Calculate the pdf ($f(x0)$) of the current sample ($x_0$).\n", + "2. Draw a real value ($y$) uniformly from $(0, f(x_0))$, defining a\n", + " horizontal “slice”: $S = {x: y < f (x)}$. Note that $x_0$ is\n", + " always within $S$.\n", + "3. Find a hyperrectangle ($H = (L_1, R_1) ×···× (L_n, R_n)$) around\n", + " $x_0$, which preferably contains at least a big part of the slice.\n", + "4. Draw a new point ($x_1$) from the part of the slice within this\n", + " hyperrectangle.\n", + "\n", + "The implementation uses estimates (``width``) of the relative scales of the variables to randomly position a hyperrectangle with such dimensions uniformly over positions containing $x_0$ that lead to $H$.\n", + "\n", + "When a sample is rejected, the algorithm shrinks the hyperrectangle homogeneously in all directions.\n", + " \n", + "[1] Neal, R.M., 2003. Slice sampling. The annals of statistics, 31(3),\n", + " pp.705-767." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Problem 1: Unimodal Gaussian Distribution\n", + "First, we create our target Gaussian distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import os\n", + "os.chdir(\"../\")\n", + "import pints\n", + "import pints.toy\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Create log pdf\n", + "log_pdf = pints.toy.GaussianLogPDF([2, 4], [[1, 0], [0, 3]])\n", + "\n", + "# Contour plot of pdf\n", + "levels = np.linspace(-3,12,20)\n", + "num_points = 100\n", + "x = np.linspace(-1, 5, num_points)\n", + "y = np.linspace(-0, 8, num_points)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = np.zeros(X.shape)\n", + "Z = np.exp([[log_pdf([i, j]) for i in x] for j in y])\n", + "plt.contour(X, Y, Z)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we set up a sampling routine using Slice Sampling with Hyperrectangles." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Choose starting point for 3 mcmc chains\n", + "xs = [\n", + " [2, 4],\n", + " [3, 3],\n", + " [5, 4],\n", + "]\n", + "\n", + "# Create mcmc routine\n", + "mcmc = pints.MCMCController(log_pdf, 3, xs, method=pints.SliceHyperrectanglesMCMC)\n", + "\n", + "# Add stopping criterion\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Set up modest logging\n", + "mcmc.set_log_to_screen(True)\n", + "mcmc.set_log_interval(1000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We now set the hyperparameters of the sampler:\n", + "\n", + "1. The estimates ``width`` of the relative scales of the variables.\n", + "\n", + "These are going to be the dimesions of the hyperrectangle $H$. Preferably, $H$ should contain most of the slice. In this example, we set ``width = [8, 8]``." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Using Slice Sampling - Hyperrectangles\n", + "Generating 3 chains.\n", + "Running in sequential mode.\n", + "Iter. Eval. Time m:s\n", + "0 3 0:00.0\n", + "1 12 0:00.0\n", + "2 18 0:00.0\n", + "3 30 0:00.0\n", + "1000 8991 0:00.6\n", + "2000 17843 0:01.1\n", + "Halting: Maximum number of iterations (2000) reached.\n", + "Done!\n" + ] + } + ], + "source": [ + "for sampler in mcmc.samplers():\n", + " sampler.set_width(8)\n", + " \n", + "# Run!\n", + "print('Running...')\n", + "full_chains = mcmc.run()\n", + "print('Done!')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This method is much faster than other Slice Sampling methods on low-dimensional spaces!\n", + "\n", + "We then use Pints' [diagnostic plots](http://pints.readthedocs.io/en/latest/diagnostic_plots.html) to investigate the performance of the sampler.\n", + "\n", + "We start by using the [trace](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.trace) to see if the 3 chains have converged to the same solution." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Lo/m5ClZjbBdrKZJ0JO0ieHEWrKRhUubTBlUyxpPOaCcp0+JiFayLIfP9zLfiHO09SsJI0Bxq5tq51w67zfZAnLePnsE/r4y/iLwKl38s3c9UceUdSNrP5MW6QEspJ1C1slEKlkIxxRmJBcwbx7XPyI8/m+jkDArFFOF7FJJMbL41geMYNkKItFD6p+Y/cc3sa1iaVrAyMSWFsv15haOtx7dyw4IbWD3PExNx8vcw4xJY8tGC55jSLDyo9sO2lePKW4d9HeeC57LHNkwzhFcgL5rVMNQJh7fC+k1QMTNr1/am7QwkBlg2axnlvnLoOgantsPHvgnlxWNoEoZ97WUlg7kjjVJUG+Ta++J97Op5mkW+DUhZPFHDc2eeI5gMjsxiMMLxbes7CCcSea518VTmuUg682SSBEfBykvvPwaaUCJl8pO3zvHRK+YwZ/rFxVJFkgaagGllIxB9z74O7bXIBZPrSex+PzWPTdClRNjXM1IlNmVKru98ntnBUrikGvxnkeVDfD/NlJ2Jb7T39pxdysOwLAxTUlFauD5aQ3eYf6/v5GMrk0gpiemjV/jqeup4t+ll/kFWUj6B2vmwHBqFENeN90AUCoVCoRgPpJQvSCnPFNn38nDbEUL4hBBHhBDbx250RfpyLFhSSpoCTfzx/B8ZrpuLV4mJGTHeaX8HANOSds2a7hPQ+EbRczqCMf50vCtfGWp4DVr2Q2/BqSx6HcU40nOEJ48+aQv2OX0VVfK8dByxX/ub8nYlDTvjpWk57XQetV9j/YM2aToWrBJt7AWx1v4I7YHCWeDc9NiBVCuDWbqCyXGM6ZUWMcug2PNV2zKQfp9M2cJ8qZYRkPOtHh4HwZH698X6IdBKXLfv39nucPoRqQqfg0DLyNoDfra7iSd35T8rg9J2CPTo4BadWD+882jaAjgepPt3pnQglsQw7XvglmcYrStuppPMfSp4vywTdj9sF9weZfvRxj00+6Mcaw9ypDVQ9NC6FntfNGnRHUryxqluWvtjo+r2hP8EADErxUS6CA43YuynQogDQohNQogp56+uUIyGdS1bWNeyhcWhwwX/FAqFIof/hO1uOO4IMbzsa8OJTRII2gNxtm1/k57jGXc9r1LjFSC313VwqjOEUSwY6Pjv7JXsYRBOGLZiV6CfvR17bUWq7hl46wdZ52VZsIoK58UVTjcg3pCO0Om2N0SgvJWMgJRog87r6FbTX6pto6U/RmNPvrtTiShBABZm1rU39kR45PUGukOJvHMAW8kMdY5qPGDHuLzb7mQolZKUNItaJ7zKsusi6Mb+SSlp6A5l3yu3HSlHXgdr/5Nw5N/Sz6BPE1hO25e2vQoDF0bWXg6t4VZ0c/jJRIo9gm+3vc2BU7+1a0H1nB66IcsER/kfCemELwh002LHyR7eON0DgE/YCtZwFiUsSzrujkX6GezZdp/LjrphjjoHM8WpzhCdwQSJVGYMpmXSHGwuOA6BIKobSCxOdYZ48XBb1u/JcHB/C8YvdU9hhmUnlVJ+XAixHPjfgENCiAPAL6WUr4/r6BSKDwBDuQAqpiA7vz+27Q0jIclDDz3EM888g8/nQ9M0nnzySW666aaxHYeHDRs28PDDD7NmzegDi59++mn+5V/+BYCqqip+8pOf8OEPf3ishjihCCEWA58CHgL+y3j3pwltREKpK4CF9BDxVLaVRCJp64+xovdVEqlKmOMEs0sLHOHMK1gFzXbmllwzVIdDjkk3LPY0+tHKIunU1oWUJTlwwVYUY/20RNqZOfOyTFZEaQ0dD+JRCA5fGODKedMzRZctK3u8gylO0T4qDv6EBdHriFWO/XMqnOvojejkpjYq0UpAgCmNrKl943QboPHM/pbCLt5n/mS/jjKp0cuNtgH3Y5d+DJCYg8z13KqMi57rIljms8XInnCS7b3tGCsF1106k9+c/g3zQ93p40eb+l/G/Kxr2ULXVV8AZgMjzyoZ1sPMKMu4hcZSMf5w7g9cVn0Zn1726VGNy+VY3zHoquWj066EkmG4MHYcgeCP0vdLNyyShsmMiuHFVWpCsxUMKel0rKFFk+LkYFqS7fUdNPVGs56l9FlyKEujqzAP/rt0MNHNkmgXl0y/JGcAhRXLA10HONJzhDuuvIPFM7Lrq2nu75O00lk2t9d38NfXXUJ5ib2vqTdCqU9jyZzCSTrshQFp/45MNRdBACc4+LvAfwP+AnhMCHFaCHHXeA1OoVAoFLB37162b99ObW0t9fX17NixgyVLlkz2sIbkiiuuYNeuXdTX1/PAAw+wcePGSRuLEEITQowiP3KaR4H/yiALoUKIjUKIQ0KIQ729vRfRlY2UMke5yI+/AIjpBq8e7ySSNPi3k//Gi2dfHGYHnktxm0zFaY8fGca5Q6+W2yvlgnAi29qVGyuSvpr9T7J9z//D06eeto9JxaF5D/6m2qwEC5kTs7clUia7G3p5sbY9varvtWCd0PtpjXXntpIh2oeUMCNezE2vyBjixV2dvGjF5swyKUtbIfQsIfd4OH8dOxRP0dgTHtNEBFJKkBaGtO9ZwWE646oqL0lbsEodBUs3LCQWkaQ93/6En1PRNmeMoy80LAK2paomfILOU3v4aOsvRnR+JGHwy+Pbsra5pQ0CieHdNwBpDaJU6FH7VStFSklwsAQpOYsfL9a28fO3zw/dP5kFAjthgxyxovnTXedo6o2SsuJsqd/Cie6c/D6exYzCz5bMeS3MwRLJ787+jscOP86+Cx6XzCJW76Buu70mjIRdQ6vhNcoSfkrMOL50yYrM/Df1RjnTlbECv1LXwQuHi9dbzJS9mFiGG4O1WgjxCLZrxK3AZ6SUK5z3j4zj+BSKIXmi7omif7Wh30z28BSKi6azs5OamhrKy8sBqKmpYdGiRQA8+OCDrF27luuuu46NGzemBZkNGzbw7W9/m1tuuYUVK1Zw8OBB7rrrLpYvX853v/tdwC40fM011/ClL32J1atXc/fddxOL5fu5v/baa6xfv54bbriBz33uc0QiEQDuv/9+rr32WlavXs13vvOdvPM+9rGPMXu2veq8bt26SS06LKW0gP8xmnOFEJ8GeqSUg/oOSym3SCnXSCnXzJs3bzRdpdGERio+gOw6bgvxoU6kke/SJBB0h5IEkn4Ot40wIWKui6C0oO0Qs2NDC3xYhZWFrmhXOu7JFciFEMR0g7qWAdrDPfz06E855bc9LSNJA71AW6Y0QY+SMi3279/Lu+f8tltY6/4hL0c3MsJYd9RVqCS7Ym38oSU/fuTNljf5Y9MfOdExQF8kyZuyjqOhPxS/dlOHpP0doO0Q7PsJRHqKHw+EEimEdBNDWLSF2+ju6WUgkoTdD1PmpK5OykiWcFtVmVn1//U+W9k41RmiN6LnGRGDyWB6XkdE8ztYdU/bCtYgq/yua5amifQc+4SnPICURQ2bEkkiZeKP5Fsxnj71NHU9hd3O/njatlqUGHGqLryJJjNxRknDZO85f1HlLWmYHGsPcqEv+zfNVfBHoqDk9hFKpHjk9Qb7ely30/IqalsC/GLPeXrDw3MD7AoWcf28CA5fGEg/K17cexY0OjHiAXY3vAV4fgaSIbiw1y5OPBhS2srS/iftpDe5ONbjpr4oLx07Ros/ljlvKDrrof0wyy/8ho90PgeAP6LnKXyFLH7F4hvd+2z/Hk09C9bjQC3wYSnlN6SUtQBSyg5sq5ZCoVAoxolPfvKTtLa2cvXVV7Np0yZ27dqV3vfNb36TgwcPcvz4ceLxONu3Z/IvlJWVsXv3br72ta9x55138uMf/5jjx4+zdetW/H474+SZM2fYuHEj9fX1VFdX88QTT2T13dfXx+bNm9mxYwe1tbWsWbOGH/3oR/T39/PSSy9x4sQJ6uvr00pbMZ566in+5m/+ZgxnZVS8JoT4WzHyoko3A3cIIZqB54BbhRD/Nuaj82BaJqdPPs++Iz+DRAD8jVj9Tka+AoJK1OxnR9vv8htqfqd4QgCPJcmSVrrdCmMYiRQKuAl1Rjr54Z5f8WrjPvsQwEcpAugIJIinLJ49abuknQ+ex5KSY21BGrojeW3Z8SQSUwJC0BGM29eRpWQWj8GaV2kruOnipOnx5h97uv8054PnqW32Ux/sxwKS1iBC5t4n4N3/z7ZcBJ25jfXT2BPhfF+UQ8394D+XFZPzh6MdaQvWSeHn9yefofYPD/Lqa3+0x5Z0rCA5Vkvvk9o3hND+QsMLWSnxAZr7orx1xlb+okmDgWiBuCMpsQYugBzcRdBVsHzCqzx7s8DlJ7mQnmt6/lArv9qbLfinzBTBZJB3O94t3KejwAWjCXLv3dnuCPua/PQWUNr+fKKL9gFb4PZmP4SMgjVY4VopJYFY8Rgt9170hpNZZRNcIT8Y91hrTMN2K+/xKL8jtOi58W9SQkqavKW/TXciJ7xAj0Iywu6G3kGfFU0a0HGEKwZy5twywTIgPIyYvpjfTu7hL5Al1Lm0kDMHLx1pd/cC9gJDmMHj307LfhplN4ZlYVoyy4IFhdWk5w8WXmBySwVImJIugrcDz0gp45B2tZgGIKX89XgNTqFQjB43iYf3j53fz/wp3jNUVVVx+PBhtmzZwrx58/j85z/P1q1bAdi5cyc33XQTq1at4s033+TEiRPp8+644w4AVq1axcqVK1m4cCHl5eUsW7aM1lb7P6MlS5Zw8803A3DPPffwzjvvZPW9b98+Tp48yc0338z111/Ptm3buHDhAtXV1VRUVPDVr36V3/3ud0ybVrxI5c6dO3nqqafS8ViTyH8BfgvoQoiQECIshAgNdZKU8h+llIullEuBLwBvSinvGc+BGtIAy+SUPgADzfY43J1mMs/VqChSFk8IkJMKvdCpaXKtTK67W6gDDj4FqTi98V56w0nePNOSbr5ElGHLN471wxFw4kY87fYX0vNdh2yFDyfxgxiWi1lWnaRcOSp9fvF2hJTs1ToYPPehBz2atl6EEzp/ONrBy0fa+f3xPTyx+7vEPAVVdcNCc4TEKCkw4ugYzEx25FyDlTXxI5HDk06Mi5QSLAt6TvFSbRtHnIxsW3Y3sfXd5oLnurW35CCr/Gl1Voj0uGaVXOJss8cukbzQ8ALpje5VSQt/JF+odt31iiEdBU5II+/OmYXi+ZxtJztCdIcKKxmZlOfFReBDFwb45Z5morqRdY6LT3OtIvbepGFSe6GfWCpE3AyS9Zy52f2ifd6BFu17UATEpAFIOhInsvedeBnqn6PcCKetpWmMJOtatjAn1sQVA9m/8XnfLe/iSd0zUP98/pjdUhE5mQul518XVxl32z0m+tiptZDEc65lwplX0x+PyT7OiP506RlZzK3YoSIV4KOtT+Hv7SIX16LekBq/LI+FGK6CtQOo9Hye5mxTKBQKxQTg8/nYsGED//RP/8Tjjz/Oiy++SCKRYNOmTbzwwgscO3aMe++9l0Qi43LiuhRqmpZ+7342DPs/t1xjTu5nKSW33XYbdXV11NXVcfLkSZ566ilKSko4cOAAf/u3f8vLL7/MX//1Xxccd319PV/96ld55ZVXmDt37pjMxWiRUs6QUmpSylIpZbXzuXpSB1WEdGYwZNodzRUqrNOvsvdXD3D4wsCwPV6sQvE/uZn6nDTTBUty9uS4njkB8fLsDts97p1HkTmWsvP+KK6y4oZQudnPu2Pd6W1C5IhLZsoR+mwNS6JRMPFZTuKK9Ec8K/5IdFPnrXBT9jkFmnItTBJRZKE7Z6M3SYiZmd+qHtu4GbJsheK5F3+LHuhEOO5twvnXAiJWjH2JLiRuan6LESZJA+DFw23UedNed9TCiZeZF82vh5h1Rc6FusqKGzPl0hNKMBDVeeT1Bhp7MpbGtNCMls5KZ7uZ2m6ZmW2DYKYKLhTops4vQidpTWXibOJWjKCw5zN9FyT06eey1GErlYBE9ppJ7hgsaUEyQqznfMZ9LYe09Us3CcRTWW6ndj2tzPOFlDT1RjnaGuD19hc4FbUTjySNBOF4f+FZsAxoPUiJWdxF0DAt3jnbl9W3+92coXezqO/ddPxXyrQ40RGkv7udj3Q8y+WBffYihnufnO/24uARpumDlyrIipkbuJBnpbIPsYinzPRxUUdRlkgId4GUzJ9RAcCNl8+Svz8TAAAgAElEQVS2fyOc3wc/9tymnAUHkUpApBuC+S7k/enfpMETa9TEzqFJk+6z+V7cMcO+x8eTfqaii2CFlDL9zXLeF1+uVCgUCsWYcebMGc6ePZv+XFdXx+WXX55WpmpqaohEIrzwwgsjbrulpYW9e/cC8Oyzz/Lxj388a/+6devYs2cPjY22O0osFqOhoYFIJEIwGOT222/n0Ucfpa4uP4aipaWFu+66i1//+tdcffXkF7kWNvcIIR5wPi8RQnx0qPO8SCnfklJeXOqxYZBJLWwLMCnT4kCzn4RhplNX727oTVt57LHlDTb9NmUVcsnJ7DctSWtDLZFkJoudNHV45xFbwJImccug03Bc2SyTnxz9CX8OZmpiyXB2HNLO0z1ILDuHlyfNtIsr/OmmxPAmEbCM7EQYwivQFydjYXGasSTxVJyfH/s5JxM9OUdliOsm+897BWFhj9NM2YVm02m1c1f6ZSb+Rg8xN9rIzHgb7h2JpwxSpsXlgf2s7vpdWoHrx3Z3k0gOW6epTfTQbyWwHFe6g82ZgvGDXXV6nxC09MfSNaMk0o6nAUqtwS2drhUnk9zA/kumDMyWgzyzL2P1cpUObwWBSDLFoeYBuoIJpLSf1q5QgkPNA+lEGPZUZa7kkdcbbMXm8Fbk3h/njSmsh4maKXZE29JX+Y48xW6R7+rao5/JVoYP/Azr3ccHvWZLWtBxhN7GOl6sbSuc2RLJudhuftZ/knDSoMGTVOFnu5sIJxzLlsTzPZNpN8q+iM4jr/7fPPz8P6AnE1mJXv4QPU+w4xA07mBh+FjRcR5tC3CwuT+r/pg3U6FEpuOlYs697wza96gq3sovj/+S3fF2vMi0YggGFq+LZvwy5xlxrueJuid4IlCPmf4uZuYpGEtS1xogEE8Bkm0hewHG8rQhhP1N6o/qmPt/bn+XCtHwZ/CfS7fe7I+iOwp6V/KU03OOBctzzwKpNppN2yNDFHBdHstkMCNhuOWso0KIG9zYKyHEjcCg31ohxC8ANzD4OmfbHOA3wFKgGfg7KeWA4w//r9iuiDHgy25fCoVCMeUYZUrk0RKJRPjWt75FIBCgpKSEq666ii1btjBr1izuvfdeVq1axdKlS1m7du2I216xYgXbtm3jvvvuY/ny5Xz961/P2j9v3jy2bt3KF7/4RZJJW9DcvHkzM2bM4M477ySRSCCl5JFH8vMdPfjgg/j9fjZt2gRASUkJhw4dGsUMjBlPYMsAtwL/DESAHwMjn7gJwhUkYrqJKSX+iM78GbY1stSI0j2QQCuoPA2n8YwwknAsmqFECnftVcb6IZWApp3UTa/mUPgMujT5+sxVaUGmKdkHFVUAiAJpqiUWQgiPBcsW8AzTjq0oNeNYSE51hll16Uz3otOWAaR9wwpblLJjsJr7bOUvmbIQlkXjiYPI4Bx8szPHFCLkCL/CEeKk42KY2v8UpckB8JWSuGwdZVJmr0pLK61glTTvZrk/SEf1h+lzRnayM8TLb5xlnXP4vKi9SJISFrplKyMVqQGgnHfjnZglNUgp6QjGqa5wp2IYwmFpJXg87bLPGXzFXhMaJraltDPexx+jzfTJajr95wj0+UkFK/DNuaugZRsgZWZeJRItGSYQCgO+TB21QGv6+XJ5sbaNv+5t4rIFtnNUJGkro6U+DU1odIUS+Cydy+fZioAoIiRbGLxy7rcEUouYVbqYYHDAjovyGsslbD2+laj5Iab75nqUfZuDzQN89Io52e1adjKI2emJze4/phtOEi0JmoGmCSxppi2text7CfbZ1sM3TrQzqyNEapakVBO0psLs7z3KbUhmJPNd2jJ92EqTz1P0WkoIxTNzmTJi1HbX5t1lw3mWm4wQGyAng599LQMkiAuDE9LPWqvGcT0kb6WmLRSjIpRgwTS7l+5QgpcPXGA1dubObPJdcc/3RTnbF+aaS2xngcK5UN2uJW+E2vKNxYO4CDbF9zDD7OLjVNI2EKWhrp07r780MxeWkTljAmOwhqtg/Wfgt0II11l4IfD5Ic7Zip0c41eebfcDb0gpfyCEuN/5/N+AvwGWO383AT9xXhWKQXnk9QZqQ/6hD1Qo3sPceOONvPtu4SDwzZs3s3nz5rztb731Vvr9hg0b2LBhQ96+5uZmNE3jpz/96aDn33rrrRw8eDDvmAMHDgw67p///Of8/Oc/H/SYCeYmKeUNQogjAM4C3zCK10w8uVFAmmaLmN4ioTd2PI3QU1RH2+ktuQqYBn1nbRedK/6noeM8LBOadsGlNyCjhdyGHEuMqfNu3zFIZ8GTlBRYKXaHJqWVjtmSaTe/jP+eYVkcbB5g1rRSSqwEElvA3tvkJ1iZohpXgM+UG3UVLSkldB1DLriOWNJgOnAi2MSurt2UhP8KwBbs434qjQC0HSJUeRlpP1BnTvrifTx/5nn+44r/mLlamVHYIgmDvacaWLCohKul5BfHf8HVsRb+qnxh5oI9CpZ7ZqPZTEAkmCYr8uJRSqwkTdhufLGkmbZOZtozsVU4Z7uRREvFwEceCQx+EjjGJ6YvZkXl7Oxmhrti39+EMGwr+L5EF3PimWQYAou34u106DqzjG6qSzM1jUxLcrTVTYSS6UtiUXXkSWabZwhU3YAmRHos75ztZY7ILi0RiKdYQiUp0+JYW5DXp3Vz+6qFWNJ2k7SErVi1ESZjW/NeJ6RkgoFkPy2JDmaVLs6k757rPU4STUXp1k+xrPLjWLrtkCU8inmugpWtumcwpA7ItKtrqRkHDXxCcCz6R8pKKtF9VSwN7MW1mfZHk8zCfaYFUd0EU6MjkKA62U+J6bFXhLug/jew5h/S3/VSTYC/0f5OmRatA/G0/9mrb2+GJR+hP6ZziWfcrgpW4hTqnX4kPyePe20W8FykgbjlxLlJC6mH09axZn+M2v0tfHvDZc7nKGK+Z4act11GjHB6sSf7KXTT98cxiiZSsZD0mHEaRX76/Lxn2kzZbo85z34optPSG83atmzmMhr6mygVBb5I48hwCw0fFEJcA3wI+56cllIOGpkopdwthFias/lOsJVpYBvwFraCdSfwK2k/ffuEELOEEAullKMvT65QKBQKRTYpYac9kwBCiHkMUtdqMvFaDFKWJBBP2SJmntJkH1dqOrEkYe+KuFf4LSDUhNrhwrsQakcLFU4zLqXk7UgzlGX0UAtJwhM7kpQm5cKHkPZY5saaYNcP8VmfJmEGoMQWZt0U264bVSCWojJnbKGkQSKc5Jd7mpDoVEppx50Ig95w0nYdOrWdOn0x7ad72DDboD7YCGUV6GaUMkNSpfcgPPVzLvhjrPIkXHjtRBdvt73DwgV2NsNiHBU9WNEUNYYtADck+/mr8oUcTHSzsGQ6i6WVTkntXkKr2c4MMjFnAotzDFCKj2ppcVxzEh1oWt49mRFrJVl2RWZr20FmxHSY98W8sUUcy8ppfYAVOdnw0tY/ByENW/EGkBb9A+c5eeYlbo4l0MK2C1ajHuDy5EDmfOz7WmGGmBs7S2pmRsEyzGIKnLRdTB3J0vusJqMD+CoTmL6KvLPc9npCiaz+0+N3otMAkhjo0p1z6dSEEun77aJZBotDh+mvXArl8+kNJ5HS7lv2nnbatSmULMOyrPxEEUB9+CUAPkG2pT8qU1QmW6hMQn/lFcxJ5CRw8NAf0zlyYYAFCdsjYE78AvuPV3L9NVdSfv5tW7EJtQOzACiNdkLLLvDpkEwS86h9bUYEy5J0BhKsEDL9HJYZfmA+0YRJfV+QlYuyQ00lEBP2GHVpIpxfwUBMxx8OwsFfQqTRmadMmnN3loXnZzOqG/QH4vzGbKDU52btdO5Njob6Z85j5mxrD8ToSMV5g+JlJnKfiaqG34HZk/YmcV0fRe7Peayf2eX2PM72lTORMVjDtWCB7UKx1DnnI3YWGfmrwU/JY4GrNEkpO4UQ853tl0LWzLY52/IULCHERmAjwGWXXTbC7hUKhULhsnTpUo4fPz7Zw5hIHgNeAuYLIR4C7gYemNwhFcZrwcrEbxSKFXGPz7WGWFnH+4xsr/6UZdIUaOZqKRGWacdb5Q1CEJIpGpN+KMtYbgwp+XPrW+nP/x5u5np9Ada0CJo00OOniSRXUmrFiZh+ppX4mBFuZEasD5Fci9CTTEuFiJXOLXhViZSBzzLxh8JcpkEbPczFSMdlSClpD8QJySg/DR1jzsyPABWYGCwNHGJ+7Byti5Y4x2aE25hucqZlgOScUNr9yjuTlwf2cdQjp0exFcAj7QFO6yGucbYfTNi1tTYhMwk2PO1kfbZMTmi2l8VfcG36KNu6k8GUElNPIMs8W2UxW5RM/3UaURoC51jX1kDtrJmZ3R6WDuwjsL+VKnkr13W/wr/HewlbOvOmLUHzPGfupUsJs5KtJEttoXya3kexxP0y68rt9268nPcJvHzgXVaGejiy6It556ez+mlushLvHEBYJPE5lpE/a81UWSXMphSQaYE6NyNguWlbsqqTXYSq5qctKABv9R3NOraQyC2l5JLICYQmAMl03Y/Ps6hgpd1J7X7/YGYSQcyJnyel3ZjxSnOP9bRfFWsHzU5lsKx/N9b+3dTGP896R6mhxFYGS8wEwnEnJR7ApJy9WndWey0DMUDiJzM+N4GENKCHKMl4knIyiY5MjyU8QJIFzr6IbqJp2Rkbo6SoC7/Alvr59HUc4uNyiW25w74DveEkPiBhWBkFy7mr7vNVaI5bRYh/bm9nml6Wp3QVI2L2USamURpqg+llEHbr3Dn9eJ+deAD2P4mcWZP5Lk01F0EhxK+BK4E6wP1VkmS7/10MBZ/vQgdKKbcAWwDWrFkzOZFrignhkdcHz340XIoVG+7RGgtuVygU70+klE8LIQ4Dn8D+f+c/SClHUZl1/CmUKDzfSSoj1M5KtOJLzkZi15+p6j2Lb3ZmEbKq+yBx7Po8Esmzzeep9XfzjZnTWC4uI2Ll15dKyyp6LCuTmIWkJ9EHZdMBwdlwiIXJWZhtJ1gUbiEF/Km93Q4mcKjQ7dQOJZF2tGQ/c+IJYqVz8UlbFIyiMx3bSmZakprYGVLJDqgspclsxUpkp5o/2x3BkD1oQMJRDo+HXiORbKCMGfQl+p2xZupfxXQDpwvbJpJl5SkuTjT54wxoKcwcD6ML/igz46bH/cszg87n9sTetKDlXV0XQqTjZCJJg4F4CrN0BsJKsSB8nITrgiUl0/U+omU16XY1aWat0++ItfARMjEnuWpZhRHiVFcY3zwdC5l243oj1sp0LVPDKWVmOy3mzkjKiuMTpchCPosUiJPJ0pMk5UaYQqRjotIFYTPt+M0u+kW2eucqcLMi5/AlB8h8nTNEUl1Ov1rehYSM7MyBhWRuCwufTCEcxW1mso1V7b/g0KzZSDSk57kqhOl1R/OkhXTflZthYkZ51jni3DO8MSPJrZWL05kw17T/itmJaQQq7TMbe6PpLt377HMsw34RT7evO6K6JjX2aZ3MSZXxMTIumj2D1MkSHrXXsCS7tVYsOZ+jHR3M0k2CJPlQ32t55yUNixnlzu+UZeV4KOfP0wVCpFIWFoOn6gfbFfPD7b/mV9NB+iqgTNKcCvHHHf8ZWJFu/5LICTpnXGdbz5wU8rLnJJSXDS+ecQwZrgVrDXCtvPjRdbuuf0KIhZB2UW0DvM65i4GOvLMVihGwOJSfrlOhUHxwEUL8Wkr5vwKnC2ybegi7QKYrmkRJUW/2slh6vDdERnSJdJ+jrCRFJGmg97RjdrYwf0Y5mhAIZ/U9kjToCiYwhYWR0hmwfNTHOngrZE+JKW0Ba3Xni5TU+QqWA01IA9Otf5MIZmooeY5J4rEQeXZo8T7QnMQQVoJZiVaOiDJCQud2axkApd11LLJ66HIkFE2alMZaCzVnY+p2imc5jYAMslsLskTY1rFyI0iJMRtKnfn0Wlw8DQksLCRVshQ3ZbJEYlggnfEGYjrMzJzzxsluqpO93F2TadWt2+TWWy0Z+GNm3qyMhUEIQVLYc+RaVyzhY068mcW6n8bkovSxq7p+x77LNmbOlVZhl0/PuF0qjGDWkWdFdi0gKW3B2KcJ3j3XxxzLoELvxySTwbJP9uOTJsciv6eqZB4fLr+tYL8W2YkscgxRRSltfZdyayk+b+pzh5hVvExdeSqQ7rHcStAVP8oFglzOTE4n9jAPKLVilKWCUJEJyhqI6ngjd65reAIiM5Eb7idpWFSU+gqGL9aKbnzWdAytgvKeOipTAVK+yvwDc66BdPKIQSYB2GG2MEcvo0Ro/EWhAzQf5MwxQKkeRlDOAplJ7m1gISM96LqV/oHwqs+DV5WCFyPn6I/qxPKSWGQfLQHN+W1xCzr3hpM0Nw8wb/YMKnU/ixJ2htnRqBCLwkcJll9KtfQhTItpKYOwtgAJ/DHa7BlHRoFbED2NJdfgS6dDlXaKeF/l1LNgAceBSyjgsjdCfg98CfiB8/qKZ/s3hRDPYSe3CKr4K4VLMQuUQqFQjJCV3g9OPNaNkzSW4qQSiJ6THgnVFgoOii7KTFhrzSt8noS4Uxg1kXKCylMm08tLswSQvohOhSxBkxYxK8WhYGOmcKjDtJQfzNlZC89doQRlJRo/iZ6gvXwZq6+yXchce0oglr0SXWIlndiwGVljdJkbs+OfQk59o1z7iXDc6CqNARb07Uuvuu5PdhMTA/RaPfbKbL9d42qGPstzunTGJqmKtWJWl5IyLYRH6rGQdAxE0XsaKTOn8bZoYzoZi47EzpI2vbywUCawcKNS3FtlufXLChSz2i1PuAY0tMRAWtkpc+PorDiVqSCSqkLTlf6cF2eSwyn/KS5PRZgNzI+cJlCx2BmvJJ4joJ8LhjEsSc30MiSmXdvI7cu5qAH9DAt6folWMY2I0ZutfHjeN8Z2cyPxdAWykuAFmO65J4A3MQjY7m1SQrkRoi/Wz1MHmvnkwoxlR5Iv4OcipUV1aD9J3ymOaiEut2Zm7Z8dbiA2Y33680BMZ3aOEa5RD9B0+jwn2gzuu2UZ3Y7F1CuPm0iq9F4CFUuY3raLufFzdFVdV3BMvVavd4BIJOFEirlV5QWP99okTyT9rDN1ELbyNmAmeSPaiq8iJ47KmfvKYAMlvuX2Nu9iR+8ZXMfP7KWFbPS8mDr7KUsaxTIEZigxE1QGTuNNK5E07eQkloRl/e9wGbPQsTMvevHkRiwyMtCkwezEBWT5lVnHNnRHiFaZTC/z5blHLwzV0V9rkFqyhphuJ8ywgKa+KMfagqxanP18jBfDVbBqgJNCiANA2q4opbyj2AlCiGexE1rUCCHagP+OrVg9L4T4B6AF+Jxz+B+xU7Q3Yqdp/8rILkOhUBTj9x5XyCMBT02MuicA2HT9pokekkIxoQgh/hH4P4FKIUSIzP/tOo7L+ZRCiKxkFa6QpwuTMnzsTnQwhyrqRS9rZU3mOEcw8goslrQF5ahupqNUIkkDHwKwSEgT9DCFXHjyXcQkKSd2aXbqLHS4bnjQTZT9RmZdVADXdb9Ck9ZIm+8GEkYmDsVtt9TKdtUa8MSQuFdSiCOJHprZy3SyvK/SdaYgoxxYSErMOB09bmaybLPKu6dbIdxBDRAUUCGnpZXRJCa6bjK/zABBVsFXtwGZk1zBTV8fTqTSBVU9g8qMNZT5LRaOZa3CsF3h5s0o41xOu/Mjp4iVzibpTGBuBsJzDAAzQUrePfMSb4bDfDbmWjS8omz2eYZnAtPulK6y6Dm0RO9gUSpCz/QPpV30yo0Q5Ua2hWnAqfFVmQogBem6ae54y8wYSd90uvXTpDDpCqZwS32fDR8h0N/Gh/oy8yZlvsUml9JWO8NquVnc2iUEBI0OYuYAMd0kVWbRJ5LMd67ltVgLdWd/w4rKv6W26zQng3uoyW0DqNJ7SJRUY5YNLj6fll4nLHte40au25xddLefBP0i+1kxnWc5RJL6YIgOkWDJtNkEMyJ4pjachEojQIQUJ6Wfy5hZ0J3YPrRwwvt4yqSy1OdcpxwyAamLbklKCwf0YFrZJcvbAoWrOw3XrtUsgrgleE0swokU08t8ILNjUBsJUNvyZzSzF2ItrK1YQCJlIhHsP++fcgrW90basJQyP+2NzScKHCuBb4y0D4VCka1ADUWr5weu7ZwdeJ3szY51+/Ztk18QdqrzhKOcjhXDUXIfeughnnnmGXw+H5qm8eSTT3LTTeNXzWLDhg08/PDDrFmzZtRtvPLKKzzwwANomkZJSQmPPvpoXiHjiUBK+X3g+0KI70spJ7aI2WjwlWXFYLmCfam0he4arYITwk+/SNBpeteOZa4XHCnTYiCm05aI400L5RcJcKw1Ud2gvCR7Sf+08LM0Wcm0ikHEBD2G6WQL269lO52446+QJVR6EhD0RXVmVpRSiE6RuRaJkwrbuZZWsuN33BiY/pjO9DJ7pb/c57HtOBJiAgOflUrbbQSSxthblGlVdtN5GfjsY2Yku9JWhUtDdUyf5iNlWVkFY4XMKFiZhPL2q25J4iJbOdCKWJ68VpK0YBwfyGwAlvW/DcCh+QvTG72CqZ1IYynoUehroDcQp8u6Kquf+ZHTNHkiqPLsFjI7GUNvJJmn5ZYbkfTz+JGO5ygTfbTMvDK9X0M4BWbt58LwxFNJJOeTh5iRiuG32jkl/FwpbWe9CiOE6SiYfk/dp16znaHE4cICem7ck91mr96AkBZ9UdtqGjf7MrFfzv159XgLiZTlOQvnvf2pJtZIVGTPbe5iQClaRhWyrLzRuOzRPIueOsxxdWJpUZbs5zXNk/9NaERF5vnztlSd7CQq4JTlp4pye29ekpTiqky+xbXAsUVOjxZwIxTYNfu8FCsW7rrKDkZYRmkQAwgqmRNv5g0RSNfUEznq5CnNz6VUYEmLRMpELzXxR3VmUJ5Xz208GW6a9l1CiMuB5VLKHUKIaRSszKBQTBwqxkrxQWHv3r1s376d2tpaysvL6evrQ9dHWVx2AvnEJz7BHXfcgRCC+vp6/u7v/o7Tp08PfeL48X8JIe4BrpBS/rMQYgmwUEo5eEGviUYIhOYDyxYbkk7GrypKSWEwQ5bjc5SWtlS0YBOacK1X2Nn3yrwinqRFhBDMwR/V6Y+lqC7PFn4axAANPQPcvmBJbtNZ9ISTWVYQl3qtl6WOq9alwSMkPHJNOFk4qD1XDPUKQ2GZed5TpoUp8+t2GaaVUeVMW7wNiCTlHgWvxEpC9AiJ0kuIp2aRu1TvJ06p6aPK7ElnNtMxmZ6yLWDebHQxK0SF6xCXbibTXovItqhoMr/Ya/a5NpYEBprzrg8g2PAusuxqmkWQgmpqAQEyJhNUYjIQr6NDi3CJVUEwpufdN5mjAHrvh6tcCCyQFovCx3Kuxd7vK2J3lEgMLPypFkojx7HrIzimKykpM6MsChzCP/NDxH0eN81hCN+F8I7Ce51ho4P5eieWc0BjbFcmNsh5iVuepBqe+fS2eSTidzYUVhriwkBzdumpoa1wuchjL3BJqIBVWWhpK2kCAyjNi4nao7XzITmnoHvp8DovHOEnc14L4s6XzNQKc8ldXtDF4K6uhfBZSaal/CQEnu+1rWAFSVLpqDUS6A7GMaM6DZHIoPdqvNCGPgSEEPcCLwBPOpsuBV4er0EpFAqFIkNnZyc1NTWUl9v++zU1NSxaZAfBP/jgg6xdu5brrruOjRs3poWFDRs28O1vf5tbbrmFFStWcPDgQe666y6WL1/Od7/7XcAuNHzNNdfwpS99idWrV3P33XcTi8Xy+n/ttddYv349N9xwA5/73OeIROw0APfffz/XXnstq1ev5jvf+U7eeVVVVWkhORqNTujqYRF+DKwH/hfnc8TZNuUQmi0oxD3pxC3sNMqNveF0Brr+mJ6W/Ao7/9iUGV7rkI1mGfQ7K/nFVpePJe26TbqZLwy1B+MFlats8vcXewpy3d68x6WsTP/5MSM2cY8LnzlQuKZOdbKD6mQni8LHONEezBufKfKdqPZrnekthmXHlphS0hr4N2oCb3NGH+AX0ROcEf2DZiPMdmHMbM+d+3ozE7/j7vETp49Y2lrQK+J2zam8XjKz9o5oI4XJO9YJ3hAXOCVsr4WecIK4YZHy3DvDknkKlpc2YVsQhZTMi57lssB+kp54rspUgLmxJjRPdsZcwT+RE09V4rizyvRnWyQdsDKeFprMF1NjKZNYykw/e/mum/l0BW330xlRe4HHvXRTJulw0pq4I+nVG6lMDeS14X0e3fi5mYmh87HZsXrZcyKRNM9eX/QcE4nPylmIiPVj5NRFTxgmYY/S795TvWjs2tC/wRkXwexjfTkaUyE1TKYV8WwXU3B+q0aJzLJW5SOk5JjoTe+NJk1SznORScIzBRUsbPe9m4EQgJTyLDB/0DMUCsWUZnHoMItDh1nXsiXrj53ft/8UU4ZPfvKTtLa2cvXVV7Np0yZ27dqV3vfNb36TgwcPcvz4ceLxONu3b0/vKysrY/fu3Xzta1/jzjvv5Mc//jHHjx9n69at+P22sHXmzBk2btxIfX091dXVPPFEtvtjX18fmzdvZseOHdTW1rJmzRp+9KMf0d/fz0svvcSJEyeor69PK225vPTSS1xzzTV86lOf4he/+MU4zM6IuElK+Q2wg32klAOkE3dPNWyBwu8RStJ1hrCtWS6hRP4Kec6iPFV6JqbLFTgqvDErgyi/SdOiu0Ba5yF1qyIUU7Szs5xJop6EC9l92SvWQuYK1h7XskjxNNQu03U/WkFBNP/C3FTYrwfaaA/G6XAE9rdFG/8eshMinBH9Bc8dCq+dSArotPKtknu0dt7VOpyx2IJ3KGHQFojTFXJj17JdpfpFgkOiG4TAEJmqVIXuWyCeQkornf3Qbq2Q+manLw+Q4M9aM22EKTXjzI2fo9IYoAQNUzrZCz2n94gYO7WWrPFNl9k2OFdhC2WVDCj8rPijmWMG4tmKSAOF7oOkOtlJpZGrOEne1NsIJQzmhk5RoduW0VS6xNQAACAASURBVLnxprzewwVyalYaA1kKTiE0mXmOvfXXUlp+BsKobh9ruQW2PXSFEpR6MlEiIZIsrEjZii704darcmbEilGv9RY8x0vuNVUYIUp9mSyPSUx6yF+My4zZLvidvW9w4h6leSRM1/sKbM0slDSKwLD6H2uGG4OVlFLq7o+iEKKEiR+rQqEYB3JjuNKJMF6ywyg3zVpd+MS/nPqhLO8XqqqqOHz4MG+//TY7d+7k85//PD/4wQ/48pe/zM6dO/nhD39ILBajv7+flStX8pnPfAaAO+6w8xCtWrWKlStXsnChXZho2bJltLa2MmvWLJYsWcLNN98MwD333MNjjz2WZY3at28fJ0+eTB+j6zrr16+nurqaiooKvvrVr/KpT32KT3/60wXH/tnPfpbPfvaz7N69mwceeIAdO3aM2zwNg5STOdBenxXC9lSaggizuIIgkcyQZQVkz1yRjLSmlWtNyOuvaF+D18wZipEICl6B3vKI+cVwI65CCYPyEi2dJAKyY0qSBaxvMWFnJ7tMl5zL3VmgyxJHsM1Nc64Li95IknKfm61t5KJRRqjM3CtTSjqCiYL3pSaW/ZvtWi18Vgp/w1HmTs+sGfSKGAwZxeR2n8qaq2JXckjfx02OspEUJjOTGSuO6yI4LdWP9JUgsdN2F8ItDuxef7fIF9hLhm0HAImGwOK01g/MydpXbkSoTuZbm1yLYzCRolSkaOn5AVRnEot6rYuJIu6KgfjgdZyW+t+g28mz5x7bJIJcU8Da2R/T0UQZFpL+nCQwqTyXzqHtUYbjhheI64Ck1jw1HCMWiZSJ6RlfdbIDsyqTxfDP2vnCJ4qMgjUr0cpxDeZYlUgk07TBVY6+qJ7nVpjpv9NtNk3StGgNxJlJO6HyRVnHWxJMyxq2kjMeDLfvXUIINwPTbcAm4A/jNyyFQjHlGcrKpRSwMcXn87FhwwY2bNjAqlWr2LZtG1/4whfYtGkThw4dYsmSJXzve98jkciscLouhZqmpd+7nw3DXqHMtSbkfpZSctttt/Hss8/mjenAgQO88cYbPPfcczz++OO8+eabRcd/yy23cO7cOfr6+qipyc3PNWE8BrwEzBdCPATcDRQ2vU1BvGJ4IeFXk2ZB4Sm34OshMfwqKNEhVueHQ+6Qisl3pueqTjvubMU87gQSzbFgBZ3EE97A8OGqOWVGNM+Xp6yABWkoXMVkMBdBL0MdlTKtYR3npdyMEEuZzM3ZXmIlh9VWidc6MsjxcSuG5rmLXsU219BoWDJLaUsLykCniCClJJGTJEEkMwlNhBy+W7EUAuEMwOuOCTAv1lDgjKEV4sQw3A+H4qjooV1E8rafNU4UPN6Skrg0+HOqiBLjIClcDgAgt1Ka5VgmA6KwspvbSq4lycJHabyHoZCetPAu7SLMORFIx0cNxlAGrGlGfuyl23O/SKQvJJw0CPj0rEyQU9VF8H6gFzgG3IedVv0985+SQqFQvJc5c+YMZ8+eTX+uq6vj8ssvTytTNTU1RCIRXnjhhRG33dLSwt69ewF49tln87L8rVu3jj179tDYaK+ax2IxGhoaiEQiBINBbr/9dh599FHq6ury2m5sbEzHY9TW1qLrOnPn5op/E4eU8mngvwLfx67r+B+klL+dtAENQqG6NelYAiHTMVheNE9Ka/fcuGHZmf6cLSaSXpGfLrmYGJsqYP0ZLklHZZpFRXabgwiFLq61oNCR/bEUSBDDqJE0FA2imMA2Oqanhna/AgbVdgzTynIlG0mm2NymF8hpeYpT0fNylBK9gMWmSu9BYGZluRx0HDkK57RUZr57hO2upmUlkrAQSW9ykNEJxXPigysnhdofRR3cYRGhsIWr1yy+0PFKpGlYMauFrLMA50Uw74LMQYz17ve8zFdYLSg3w5SE7bjGg1pXwWPAEx/p6dv9XieFwbDMZ6PAG2PqUm5kK7XDsfiNJcPNImgBP3P+FAqF4gPNRNcOi0QifOtb3yIQCFBSUsJVV13Fli1bmDVrFvfeey+rVq1i6dKlrF27dsRtr1ixgm3btnHfffexfPlyvv71r2ftn/f/s/fmYZJc1YHv78SS+1b70lXV1dX7rl7VrQ1JSEIgkAQMBgFmsUHYmDGYme9hPN/zs2d4z/Z4PIz9xjKWjccw3jAGbNnPNhYYDDaLQAta0dZael+qu7q6q2vP+/6IiMyIyMiszOqqyirp/j6VOjMy4saJiJuR58TZOjr44z/+Y+666y4mJ52nn5/61KfIZrPccccdTExMoJTi05/+dMXYX/rSl/j85z+Pbdskk0m+8IUvLIdCFyeBb+P8/iVFZLdS6qEmy1RBlAI77RoUMxR5xqhMwq+HysyUxXuq+xJOEYkkFvuK3TUVs2qyVHtC78+xuBxmZWmfanvU2utUUTE1NX/j0Z+fZPv8enM7g+rbp1mcQTBpSdoV+U9+I/nC5ExFYYS56L74BCQCvpfSK8uQmjk6Ya9VPYiqDIn0e9kWgnDxlvL+5jo3zna2IVUfStTifOjajNe4vmNTsySsWaeYjVQaWfV+10bdnDDTVzHTO/6iAstgURKMYsWIfLAm/9bUZWCJyAtEnBKl1NCCS6TRaDSaAHv27OE73/lO5Gef+tSn+NSnPlWx/Jvf/GbptRdaGP7sxRdfxDAMPvOZz9Tc/sYbb+QHP/hBxToPPFC7uvknPvEJPvGJT9RcZykRkf8CvA94nmDE3Y3Nkqkak9NFJmbDHgVHGYyqHedRvUKfY8B4uSDl5ar2hpfxzLceL4ef6Ygn7NUKCDhVl1dmKvglq5Vsjaa488VT2Md9IXde9b+6tq/TQLGKExhksMzK6xs2oufKT3L2W76OZnEKFSh+UZ4TPblEoJfjQlCYqKw2GZWr1Sh+46nRhxizRQL5T7ZpMF1s3Hgcj2iMXQuvoI5RR3PnaiRsi6kJyE6W58FLvnYF8yliUQ/e+faf67ChrFCB78ZiU28Olr/TZAJ4G+EMQo1Go9Foljc/AaxVSjVUL9jtl/V5oBtH47tXKfXbiyBfiRPnJzgv0WLWVNiq2DTPyTmKKE5I0MCKKixQz3j1oHyS1mNsXZS5lXGPjrGnS01+F4Nula44VwvFrBEL9NNaLph1hhLGZy8gZAPXdEexo67qdFGEZ/O58elSiKzMwyvVCFGej4XA78Exqs796OXnJ6Y5PzFNLmEtaEjbMPVd38vBvIxiLwtBVOi0hwJmqrR4WAzqujsppYZ9f0eVUv+DZfjET6PRaDT1Mzg4yOOPP95sMZaSx4HCPLabAf6DUmozcAD4ORHZsqCSLRDVHhAfk4u1DQZVTlD3czkKXgP1CRpGKJcdXwwaqV43r/EbDJ2rj8sb02zA2DAIVvZvCeXZNUItR2Rh/OV5j1sP00aq7nXjVfKT5qJRT24JFfjnsnnaWNh8wyj8ZdqbQbVwTHAkqtbvbzGoN0Rwt++tgePRyi6KRJpXDZ++36nq89DoF5osiUYzN0qp5ZA/9IpDLW2Y168BD4vI40CpnJZS6vZaGymljuMUxUApdUFEngJWAU8uhpCzxdrZGbWUiPmG4ChAiVHRW+pyro7TunbuTJP5Mp+cm3oxF01qh/nk1MxFq9u7aSkIS9/o2TIFPGdCVBNrj8XuoTBtxInNVlb4WwoW8wFEs/C+7Yv53fQzbhVIzoyUPGa17o1LbfTVGyL4W77XM8CLOKEWGo1G84onkUgwPDxMW1ubNrIWEKUUw8PDJBLzf/rdIJ8DfgOnIu68dDcRGQR2Ad+P+Oxu4G6AgYGB+crI5EztKm2LpSYoMaKqYMybZ9yeUaLm/Qx/XuRUjNEq4ZX1YBmCObvwEhsKilJPcYP5sZRhWZVtcBvDb1+GpTal/HlUJcOFZKHP2bjVUtHM+HyV0uhLW9NuiRDPwJpfCGxU9dS5tyjvby4P1lJSbxXBGxZbEI1Gszy5Z+TRmp9XbUT8CqKvr48jR45w+vT8cgw01UkkEvT19S3V7s4opX5nvhuLSAb4EvAxpVRFlQKl1L3AvQB79+6d9+95KmZh1jDkw4UqFgKlnAIDYRbiecL8KxU2rm6tVy2MMAkEj8VWBtNSn00tlJvgLiRHC1dSLE6RnXIKABgyd9+f5YqCy5octQ57odNkLtmtgfLwfgakkzPUFzpXz+FOmakKA6sevCbJwWXei7lPyKSZJT5bf0GTxWJiZmkntJeH2aPSHJNLnKuRZzYtRU5O/RjYsCSy1Rsi+PFanyul/vvCiKPRlOkbfbDZImg0ANi2zZo1a5othubyeVBEfg24j2CI4Jxl2kXExjGu/lQp9eXFE3FuwqXFx+w20tPDlzmqYsxuJz19JrC0WhW/RvCqHk4bSexi/VXgFNKwh0GADDbhRyH1GlfgNNs2lSy4g8EyDCZV2XDLJyrLnK8kJPC6sZNlsPjhf/WQJcGZuVerm/l6xGYNu9QQ2kOpRryE9e3XNoRM3Fq0eacuM+6x0bOnELYX27ExOWzO8ATV74MKgxOTTwA1I8IXjEaqCO7D+VECeBPwLaCyvqVGo9FoNMuTXe6/B3zL5izTLk5c6GeBp5bqgWJYTYl6wr2QXJqeZSzVVmFgLQQXmKSHdMNBZXMdbzX/1kbV6jRanSdXGt0MUy2sa/5kkzaTF8ueNX+PqBkjXqFgL2cu109RSMUwBM6MzS+Ucz7GdxSx0BBReYgeCx/QV3vEi1Oz1FMLZdaI1S2bIUK60IFhnAn0S1soJmaiSuUsHkrE9TgLIJEhmh5CkdnLKEHfKPUaWO3AbqXUBQAR+RXgi0qpDyyWYBqNRqPRLCSXEe5+NfCTwGMi8oi77JeUUn+/MJJVElaYimJhVq0uPz/VL24aTLoFBooKbInPa5y5KPW3qrOs+oSZIxHRJypcCjyXsDk/Ufkk3l8We9LMEG+wiMFqyXHO59dYKGXeDB1/1FXzF39YKmqF0FVj1DVA52v4mwYkLPMyjjdoXtc+hurfj5bJk5gizIpi2khgNdbBoYI2o5VpGu+j1YhZEjYCZ7EwVP0eKTFrG2QxQ5iaZ+zqxIyi/rqMZbz8xEZx5p+aRzDx4lOvgTVAMKB5ChhccGk0r0jueeSeyOUPjQ7TN/ogS5Z9odFoXvWIyG3AVijXlVZK/eda2yil/pUlzkgPh1wVxcSM0CAu2W3z3kdrOgbA8VEnb2FtbDdnqZ1zeTlEe7AqVaNqFciSIZUlKidmJDEA404uihKTaTPZkIG1tdiOaQhmQOFdGPXNKAns/hs4AOe1ZRjMhqrqpWyTS6EGqbWe1DdKUepVBcv82DhLDwnOJ1ZFNusNc1NxNV8zXpqPeJF4Rp13ZSasfFUDq9aVyxGnlSSnucS0mcKerq9X1IyRwIroGxYnTr2mzobuLGfdwo/TZqqh8Nkgwmi8l5aJlwKGl6gqlQrnSCazLYOpqXkWFwkN3ZWNMzFavdCHZQgzRUUSm7E5zpyppCI8GgTDNbMomVrRnI8vrbZZr8n8v4EHRORXROT/wqme9PnFE0uj0Wg0moVFRD4DvB349ziqwNuA1U0VqgqVakK04jBpZoiLYyhV660UU2b0PuTyilgMqBwFVen12l/siVx/wspVLBtJVCo9fS3lqpJ7i92l1ynsmvKcSm/meLZcdEdUkXG7teY2YbzT4S/TrqqcpLPJxvIy6wn3itpV3AqqalNmhrOpwbr3m4vPZUAFldZxq6VijakG+kVVY8LKRyyd/wS0lEFRLI5md3HJrpS5HhJYrI/t5khuT0M29EJUgvQq0hbFZMb9DocpqnJJf6MkX2jf4njwjmZ3UUjYvsWNNTj2sBvo93Uh1h14Hz4vpiEcVL0YVXKzOjLO/WODmvv6VRpXkE85xyu+//vxz+UL8a4597GQ1Nto+P8G3g+cA0aA9yul/p/FFEyj0Wg0mgXmKqXUe4BzSqlfBQ4C/U2WKZJwO4Baut9cFe/2qGjFYm+8M7TPxrInTISNqmzAFJKOshNuOuvJftG3v+HkWk6lNzEW4YGLW2WDsJ1kYH+1mDJTIP4AQcWkmZn7QEIYIoEww2oK6aWQ8XYmtb7muJYZHCfK4PIfu0c4WmtW7IZCyuZsrqrAMMvHMpwaqljlfDL4NYkZUrdxfkNxgPOJ/uhG1r4xdhQ7Sq/NCIU8bQQNbBNBREqV5KpTHitqTTFT7lqV5ymnYmwttlUKW4eB1armaD9hOp+PWy0IymdABQkb2JWrlWXxizhtpSvWzBGLHMFjxkiQmdMgLzNZsY+QgSVCDJOiqMj5flt6Na8rrgl935xiHPVgGgYmRjlQMLTZWKw8r9NxkzXtledksWjEL5wCRpVS/0tEOkRkjVLqhcUSTKPRrFy+e2iY7808U/XzX7h5acqkajQhvJieSyLSCwwDy7I8pKcnnEpvojWXhpM/rrFubQUzrLyAk+eUMezAJ7Nicya1nvZLzwIwbaSwi5fqktNSBpm4xfRsEYmIsnJCucp7G7cLznI1S17FSyFEbelYQEsUoC0VY/hSMDemJ5dgYnqW45nt9Fx8rLTcMqThinYVskr0OZuLubwaphHKwRJBYTBh5bGL4/QXkhShIq8s7Jls1HsyVzpNi5HnZKqT1vPfqbrO5bRHS2LxWMt1MPx4zfXylL2hHaQ4EWpHcEd6iB+ffaT03sLwlSIRRuM95CaP19yH7cs77DcyUCyX+o7yVA6qPIPkeYLhwFn3jr8jE+fCxDQTM8XQJ3XMITvOqfRGpo1UTblbUjHGpsbxvkVFsQNhtP5rETwEg0zM5KIv3C+NTbXgv7PJNRTFQDhGayqGZQhPFvtov/Q8PblEKZQ4SMj4C31352K1neMU58p5mjhGXsqcZrroP8Zgrt+MkaAjPksyVmAmt5H46L9hRBzZpJllJNHP9r4C/dlCHRItHHU9AnHDAj8BfNJdZAN/Mt+disiLIvKYiDwiIj90l7WKyP0i8qz77/z8vZrlxTd+DV74duSfLsO+PDk8Ml7zT6NZwfytiBSA3wQeAl4E/rypElXB+3GeMtNkMxkSvhCi0VhPIG9mPNYOOGWdo8eqVHWGU2uxxCh5ys6k1jFl5QIen2kz+gl8WpXDcrw9evLWVqq8kCirYplHontjaAvBNitH9YyOWSMYWuUdT2vKJhYKdYoYJlJCkaCJNmWkaFl/ILCeP+QpqZzjqRZKGJbZM5AMgVPpja7HyA0D863fmrJpTcVIxUwyMYtzifqjWbcW2wPHlE9Uf56+29xCUaLDSP18qHszORUdylar11n6wAexEqEQQ3f1GZ/15z9721Q7YYzQ+Q17NEfjvQEvmEd0aCK8vW2dK4p3XRopNGG6MkHSLp+7cOZeLQRhysygxMC2qu87lLnHpFnLC+Pbq5jEQuPuke6KvlpbXA/djBFjwipAx0bSMRMr2+68B3bEKq8HEDFvgt60XYlOauFd02FxdItJM8O4Vaj0jgr0qWzprcIgZhnsyq4jpiYRcHPiyhs6rRaEi7FOyEaHLS8m9c6mN+MUjh8DUEodA7I1t5ibG5RSVyil9rrvfxH4ulJqPfB1971Go9FoNJeNOPFvX1dKjSilvoSTe7VJKfXLTRatChJ6V34/muhl3Kc0TtrtDCfXonAa7U6azs/z+fgqoMqTdIG4TzmasPJOiKCEVnLxGysDKlcat2xgScng8g+RsAz8z9hPpTdyMrOl2kEHth6N95CwjFJOiO2qLGHF5XXFshPSM2JMo3zUXuqGIRJpZA0n1/r27vgDE74An7OpIVKpoMrTTVnJ7SXDyfRmWsxgPsq4FXxiHjYQ/ESFp6VTGdIx5xrZppQNON8w/ny364rlML61FLiquKq0fi5h18wBC+/dVBJqdi0MJnIUfOGfErmlw0jCJ0t/L+89OFB95y6278o+3XknCsG0HK/WrmJnxTy2MAh/T/pCqulM+11YyaDRDgTC8TzDKsozWC0ocNosh65Wv6zVT3iXChqc1dYMPySAsnEXRbcr18n0FhQGB+2ekgGVUzFiYtAZywW9XjgVRcPFV/zzNSkmbyhWho6GDSz/OczanRxMdIc3CeDtouhKNBrvLZVeD49r+eaHJ79tCWZxqnR/VIFtFiZXbr7UGyI4pZRSIuI275bFCGK8A7jeff054Js4XjPNEvPp+6uHdnnoEC+NRrOSUEoVReS3cPKuUEpNwiI0O1ogkqv3MXLiOcD1qlRVFBS2keCCm0eyWuX410SKafd9fvJo1VClpGGGFEiDdckbmDz/MEWBCStLym1gnEtYpZ5FRfG8LVLyXHjyzbg1t3Nxi1G3SbFf6ZkK50SF0yZ8St2kmcH0ta2xcZS5cFHwOGUlT6SsUnlDFUhwjgkUjtI4G3qCP2WWld2RxCrEmCFHjB6V5riMVSiRE1aeQ9lrYPaEK49ixkyQM9oI+vhDHpeQhSPAjv4CDx6birZTWgbgdO3fY7+hVyBOUllsUK28XLiSgZHvk1AWguKN6TV8ceQQZ6gM81IIHfYG4NsA5K1erlensVPw9fHDTBcVm3tyMFN/SQp/QRMRqGYTnMhso/vi46xTLaSJ8ZpkL/9mb+dSvBMQevNx8qez9JOL9AgUQ/lX/rk+Y8RBLKyoAhL+eRhhuEbi+7y6tyt4Ic8lVtMy8VLpvVdOfq/q5oHQ/laR5TAXAsu8XKRC0ubipdmK8f2CrU1dw9W5QeLTZ/lbcxRE2Gi1csotAu59R9/Quo17fCHH01Ikm7B8B+j86zccDQkaOB4zRoIbiwP8s/FyYFuAopkCw2dmhETvySUQhN5Cgo0jrRyXsfJKIav1FrWB593y97nETo4WTyKcwxBhxkgQQxiz2wM76SDJyzSPeg2svxSR3wcKIvJB4KeAP7iM/Srgn1yD7feVUvcCXUqp4wBKqeMiEulXFJG7gbsBBgbmfiKiWRz8RthDo1+oup4OA3zlc89IZVnnw8Y4R9x5sTv39qUWSaOpxj+JyFuBL6tq8XTLhNa+9Vw8W+4FFWVgFWIx7FycrLWPR6eP+iJ/guvGqiiDBgZXxDv4YbqspGftbmYxmWKWyYiqfwCJmAHTYCoj4MECNyF/WpyQJ9d8netEB4286p67ajzc83ZOjP0NACcmPcWxVimAIP4wwwvxHiw5giDsVJ0clxcqNp4VG9NM0W/v4eDIcUYTjtEiYtBfSFYNpY5blSqX5yVwepyVvSIzRoKwr07qmLI3q0EAHkqtZWDk+96WxMRggFykgeXIYVHE8VytTV1LmqfolBhdOcdjtalzIxx7puIcRhR2A2BzT45zz3p7F1JWmjSxCuN4Vpxw0za3IMT2eDtHrU2cczYEFFmc6yOtaxg/dojkzIgjM5UFLrx5eDK9mWkzRXeFT9Xdb+udzKZOARd9xlI9Aa4Owf0Gt+vIxDl90QlbG4u1Bwys2SrVAgF2qk62qnb+0YgubyA4Ya5DHVlOHT1V8XneWoW9+UoOXXwaLv6dk7cUOiRTBDskb8ILcaXSG+e932K38iiVvek8uTz8YbKD8VXQtQWeOwlAOm5xYbL8xMTzNj+R2k9q5Bu+sYLf+hOZbdhjUgrLHUn0ocZPldY/kt9DXl1ixDrFTnmeM26P8d2qi/HMbRyffJhgp6mlod4qgv8N+CvgS8BG4JeVUv/vZez3aqXUbuD1wM+JyHX1bqiUulcptVcptbejozLWVqPRLC5z5WjpPC3NMubjwBeBSREZFZELIhKtNTQZ/5N4kSjDQ3Fdopdf2vkOLCNO3EiTcsPJEu6/nq5jYlTkzqztyCCr9nBV5y5Wtzj5RbZUVv/zlC9/XpLn97KQUmiP91kuabN7oFAyHKoZfX0tycD7kqIugO18psSqy2MyaecdbwWgmI00ytJi0Z6Jz135TgTTjSOMYZKPKEPv0RFbRzspLDfPRTC40hcSlUsGDap1+crIj2oG5Ea6auj7zgctbtXGvcVudhfLlSKf6LqdKavsofHmT61nCuK6mPy5VIZ7zfcmOrmh56rAvh3luCxg2LuRSZTnm4hgGiY/03+VW8Wu4lACb516cAad2QTMzpTmm5FsDRg2JlIzXM4jZbZwKr2Js8lBROCq2PV0xrf7PIq1DNfoIMHd1m6uKa6iqMpGgTNSpVp9Mr2Zi3ZQXxUqqzAaOBX3AGbatzghpu46E7k1KDFIxayKqoKBvCOjPKNUSTLBEKeAzPquLEyPB8L/esmw03ZyrMJhpDHTYJXKVDTJ9shY4dwsZ4DXFdewpbAm8Ek+aWOriPOT2cIFN5yZ0P0EHE/kkx23+ZYFr9esEeNYfh8Kg6QtbrgjvFy4loSR5b+94afY2OKEia7KrGKpmNODJc637qtKqZuA+xdip24OF0qpUyLyFWA/cFJEelzvVQ9QaZ5rmkItD5VGo9GsFJRSl5s7vGQYRlCxC1etFuWocjGzbAAUUjG2teV5NJ/hoWOTASXlejUACu4znLDDtkwcGbwaUh0MffdFksU12IZjYE2JV41LSGExwQw74+08Jme4VLRYq/q4ODXDavIcdUOaDJ+aGQ/ljRiGkJgNKsI9hQRduQSPHz0HCFeqHr4nx508sNa1xGczTF2MYUiwkhxE9/syxKSoZsuKY0AHU9zRvZpvjx9DEPYXu3nAqF61zck9ErzaZd5xJSyjVC1ubWeaadc0L0gMhZCQNBlfKfFue5yXxMJQM+RUjKHCeuBbAHSoFFAEV3HtVml6rRTHZi4669JG9bqRDpm4BWOOgjwXEj4lLnm3b5KBScI2OUULnspsiPDhgttXzDBhz/s4d+L3YOJRp0m162ECp0dZn8pyRNwQt4hqcv0tSW442scLExc4juNmCOfI+I2OhBEMPzVSbfhV7yJRRRbgqmIvX/EMfBSd9kZyuR6eGvsHLsaEF1M3ICJYl04D0HXxKSjkMQ2DtnSM4bGytyMZM5CpoGxnk2sQpNyOQOBschBDzRKzsiRCJ3raTFE0Knu4SchkMAVmveIfsTyT1gUoOudzOtWJU14EewAAIABJREFUcKgkiNegN4zf8FViuMa1s6980in8Mp3tJZ7K0K4UZ8amEKA/kYFpIdjjWtz/pDR5vLBZgNb0NbQnXwO+mepdz229OVoG2mHiHNtW5fjBWKK6B1kFjXX3ECmK5RSoAMZjrfSrNM/JCDmzi4veSqX13XuOUuSSNqcvTnIquwWBQKGPja2V+XiLxZweLKXULE5J2+gyLA0iImkRyXqvgVuAx4H7gPe6q70X+JuF2J9Go2kOfaMP0jf6IAdevrfij2/8WrPF07xKEZEWEdkvItd5f82WKQp/bysBUiTYqFp5e36du1ShEMR0iyAYKQwgbZe9PrVSS5wmw67iakjJuHrnlcHQ+x6V5hpWcWNmFbHWAQrrr4JYjk2qLVDkIuiJCb7rzsfZ09nGpvQtFGynsbBlOFXABlqd8MSAB8QwSRecHJxw3lKvKhsTfoeMQbmq23BqiLhYrJMCpthsVG3YriI+27aeLpycKyVGqaKhZQj5fIF9g22k41bpuLyzuSa/hkLKDVUTYUtPjl0DThGLzWYrG1OvJWe2s8H2FbYoznIis630tiXewurkPtZZ6+hUSUDAvX5JLPYnuiDhFRAJBtPNxCtVsKxRraKfg7/QhIjQmqn0xmXd6oKGmJzr3M+5ZI3Ui1wPRYm761f63oLePt/89V3DvMQZxD2Wjo1UKtaOMu8fXYBn227EWLU3VMRAETMSGCHvirg+MP+YSTMPCOOJLmbcQhBGhAb8mmxv4L1lGOxZ3UJ7Olaai5fs1tJ3x/MmOcaA56VSTp5e62ucMVfvIRGzSp9FohTbVtVSs4U2UqXXAlxb7KsY0TKN0rlTGOXrlPc19DZtZNUekm19pfkfN026Cwk2dlc+g6r2zZ7OvQZDwn4a5/Nc3MY0TJiZIhu3qzZBB0jELMqtJlyjWpycqtF4uYhLK0luL64jZfqKjJfucd6DlXD5juZRbw7WBPCYiNwP5cYESqmfn8c+u4CvuJPTAv5MKfWPIvIDnFyvnwZeBt42j7E1S4zOsdLMhffE3M/DI0fhkXsA+PAVH15qkTSvUkTkA8BHgT7gEeAA8F3gxmbKFU0wRNDAYKNqLTXeFZSbNOEo6EOJq7mJF8gYdsmLk7d7OZm+xI/jN7L1zFdDo0vk68qqZcKAnXUVSnGE8SkxCkVPLkFa2UxSzq/wO5Isw6A9Eyc108JQ8moemv5CYD3B1wPJ3TAZM2lNx+hLqkApku2qg6+7akgKi9XJ/Y7cRpqZ2Sk256/i2VgP75s6zfHpCU5l30LnuXvZYBf4Zw7T1tWPnHgRgGPZnaVxx7r309OZpTMTJzNqlY7TO9Lt7duZMDOcYAKsoGFjiJA222B2GBFh2khgF51cp6KYnEsMMG46pafb7CF6zQtM8Jhz4L4iAAJgxrFNg66MzZNeX59YmvH0JmZOOoE9XlGOfYkunksN0nbpUGmMvpYkL8RtLgLPtN/E4bFxhiZ+iABduThdRpyTFya5ZLcxIzEEL5/JdM999LwoLw8qrf5qep5yHFMmAe+CL2itGsHRg3lTgnAh3o1hBL1VRRTX2nt4KnM1j1z4q9Jyg/JxZMwO3ra3jy8/dNQZyyd+KmaR85evF+ecfkud5IyUQ91t0yBpm4H8IU+usq/TW+Z8LxWCco2Pm9Zv4fSZbzB6wb9tUJY2s4VUrLZKvlt1k7cV/+ZuWJBUxTotKZsN3Vkeew4Qg7hlsH7HtRyxzjF7+IfOSso13tvWcWykhYmLsxhM0VdIQSwGlU7jEttUO+3xOK0zq3nSzJeOxcNw70eCe4BJxxgasvMcmj4fOebrt3Xz3efdMNtSxc/qMvj7/nlVNsvLijXNqsvtkdcI9RpY/5/7d9kopQ4BOyOWDwOvXYh9aBaOAy/fy6kIBVmjuRwOj4xz5HmnOtlklSpZulKlZhH4KLAP+J5S6gYR2QT8apNlisRv5wjCZrpx+iI7OKXYFZJqA4axjDgbSmXBHS1lKHmACXs3F4zowr/hJ/8QVPqcfcNFT7F0FTPvSf5LhSsxRu7HMoS0aTE5O1PaxmPuWiKCgWCGCg0YImzszpI/V4RJSrkbvbkE7W6+1Wojz4zt5Hm02oNcmj1HR3IVx8aLFXIYInzg9b/PyckJjvzov7K52AaJPRyZeNjdremG6zlb7enPMTVb5PmjjgGSi+eImwZp26S1fwjly1aSkGHSnU8iU0V3vyZjsQ7W9PQGDI2iKLASAYXPREAM+ltSbG5N8Q2vopzhGHyTVpYTma3MGHFaUjay5708+5AZMLD6W1K8fVc/T41luf/Jk4EQOk/eM6n1TFg5MlPlTAyRcFepEIZPcfbhrxZ4IrsFxr7tC6r0xvYEKEY6FSbNbKk0pBcaJgEDzftMGLdbaJsaYabQBefPImKWlPqSqK4HyxCTvNUbKfcbd/RgPils7c1zaWoGN+asYt3wNyRbpQ9YWdbA7K94JSh2FjtLxhnAFdl/x+axHwJHQqOVt79z8P1MHPpNCmKCa3jPGPGKyhQiwlVr2/nSc+VwvdZUHJku50sa6Q648FRgPyWDKERPPoGckVKrhAQWV7Vs4T7j5sjjD3Y1E1h7I0ycZ+P0KIcsQc6drNgmn7SDnjEjiSFStQ8fbnl+AVK2yZbeHD864hZv8d1v/HNoV9cuRqdG6c0EPZSLSU0DS0QGlFIvK6U+t1QCaTSaVwee9/PASOVTre8N3L3U4mheHUwopSZEBBGJK6V+LCJLF5TfALbpLz0OhZmLgc8vxDs5tuZ6SDsGlh/v6W9nLsWJETvQqDehLCbEM4SkNH5pXyFVtAvfU3Lbeb2hK81L4zaPxXvZSpZ1iTRb42189vwTvnHK1GpCW7FPFa4zB7emV5NOxsgbMTAV9qizvr9PU4e9nnZ7LXEjCYxRtNOIBCvmxRI52owUR4D1tDAc28CFmZOcnzlWsc+4ZRK3TIbIsyNzJ/l4HstwvGqkQgU63H8nLCe8KtXWD2ecEnopo8DF2WEGWzOBp/JFFKSChQ8sMUBMZilCyxoYdiNEfJ6bGaOc99Oa6gQ5VyGHaRhsW5Xn/idP+j4rl9T3jK6B1iRccjY0MF0PSpXOBTHHSL+oLoY+KB/UaGIAxioLXpTWUWGDw1k+kugDz7thxrhgd4e2Lu9jU8tPcyF3kp7012i3JlAzwX2dTm8gMfY4RTGDYbYCWzJvYHVbmpPnqMlO1cnX5CXG7MpCap4ZOqtmA8uzRguTzKJUkSvsDpLTHXjfBi/s0eNSagOH7X6Q06zrzCDjBts6bJiuLlNpqofst2uKqzjUDmcu+WT0TbSiAks8mR0hzK6tpIcfZGzacVUZgR0E6ckn2dSVxTSEvatbUMCL9ipmppwcypOjwe9Yu9HJmHG6PKZpQcsgnHgI7BStmRgnxoLbmIaAlEMEx+0WZjrauHQ66DEsHbYY5RBQVcS2JJCDFWXEtyZaefP6N0eOt1jMlYP1194LEfnSIsui0Wg0Gs1ickRECji/bfeLyN8Aldr1MqAv20cyZpIyWxApl7MuIygrumaHIcLWVTnetKOX123t5l1Xri59NkORVfmEO0LlE3v/mzWJA6SJ0ZaOwb6fZsvqG+hJ95A0hU3dOZQ43qfdic5y0+LOLW74UznYy9Mtq3mlA4pI2ON1zccYsvN0xZMkCl3IgQ/5Vy6LLY7HwtMTR3a8n9QNH6/YV9iAVK43QHxLwutbrscsXNNQ/C9EmDUTcMMnIesYCDvi7XTHtwI4+ShevohSzDqJRqRco9VEHOU900lx9VWw6Y1QdDVuuzIUDKAjZKCFw6rWtJc9lwIotyDKrBEjE7dKBS5ilokhBl25OBu7M+46vvmWagXT8dyMqJHAmJbPeM8ntrGx2Mo61RKYR2XdPXhus3aKtNnGtJniWO4KACY7tlco+04InufZNJ1wRqUCRprH862v4ZHed7rVBZ01vCmVMLIkjMqCIDN9BwLvU9h0q3RkPtqplte6exX6W7xwXeiz1wOwqt1gV6yTfqMz8GBhU9prZq14ubCXo/ldCEJHNs7Hb9nIwI7rSqGna1UheArSbazrzJJPWnRkvGqZTkn0VpIR/dXK1lhRqZJ3uCSPCG/bUM7CeabtJqRjM1jOfWFtps8/XGk02zSImQbjBedYB1pTof3BemsTP7n2zW7VQW/Cl42fTDyi2IcIG7pzdGXjtJhOU2QVSxO+tuX1y3eMWCkksdLj2WzmMrD8cla2cNZoNBqNZoWglHqzUmpEKfUrwP8JfBa4s7lSRbOhZQN7CnewMXUz7938IcSNoRrt2s/WzG30JXbRHq9ecjiXsEnaFlt6c7Sky2FN21V7yfjx/s0ly0qPvwT0lUMtPNl5G23XvA8ynVw/cEPgKfD7rhli150fhXW+6P5Ezgn5M4RMzKQ9HQuo1a/b2s3O/mAyf6ARctiDZSdhy+3uZwpJlItInFl1U+n12k5Hcb6i3/m8uyXPQPfcrVyK7nn1SrNT9HkmOjcH1l1jR/cFq6bQXZPsRdziG6aYASWw6JoMntJrKqcgAbEMs1bcefLvyWJYJSMhXioJX7lXCbk5egvJ0poCqC13MNWxnVmxAwr867Z28Qs37kJESnPhB33vLyvGW+4sGT0SUhv3DbaWXhtisn7Xx8iuuyZ0ftydWeWQr/ekNnPXwK0VanGUI0UQDOXL78PAMY2LTMyEDHIRiq5BLL4G1Ju6nWsXNkYAVIsTZlqUUD4ccCEbVH170lezJnmQrJEtF0IRk5zRTntsiDev3UfSNgnPip3ZTewrdoOCpJGvPNZcL1z7HwAYUs4cnjbTzijpLvJJm+19BdfLqNwKgtVmXjkgMRu3HM8o0OoLuUvZqdJ1GY+1IetuKAn0uvXuLTHt1JNMe8b21R+F/Xcznh0Eygb9E513lMY1xGRblzsnvAM0DHeeO3J1ZuJ0trjfpRZnrPVdWT7YsoXN9s5SWGc1VGlGQ0+s4IZb1tV1akmZSyJV5bVGo9FoNCsCEUmIyMdE5H+KyIdExFJK/YtS6j6l1NJ3oKyTmJFyPTNguIbHZKaPuJGhM7YhYBgFqNEbqJ9cRb6FoxDCntUtJOzytkMdWX76TTfQ1hfyPLnaftyySLT1Q/9+/85LPbNaUjGydoxrE2WFaUtvriKZP2BgVbSiBVJu4fBiMIZqNl6uJvbG7T38+xvXsbotzS/cvIF0PDoDQsQpqV2qHuhWxetMdlWuvOUOvtf/wdLboav/I6/Z/1HnTYRGNNRRmevmecgsw6oMEfQNZCEkxcm12te9D4C3DtzirGInKaSca92ajs4Bsk0pe6x819YLkxOEomlhJB3FNhUzIdMB8QzWwJUkbOd8+MMuS/PLt2ws3s0lu2xUhdm+ZTNbrriWQA6Wd+Ab38BkzLlmlhhYhok/NAyiTQYBJn3eWs+D4ajsEQaTZzT7DKYbN3Xys9evDfR/8g3oHlunb5/OsuG2/YFVTbFpsR3PVlEpbk2v5s3JtYgYDCT20R4vkLBNXr+9JzCWUkIPGV5rHyRmpGlNx6JlAWwMlIIZq4WR9j1uGLD/AF3PHOKU6g8NU6rY54RCkzUT3LL6Fl6Xql4h0h9OSaoVBq+BdAeCsDPufv9iKUi3MePWkrfcvKzxWHk+OF5tf1M7nHBXgEwngvOQIJ5w5+rAlaV100YMA4O1qWtZlw8+3AA4k3YrqIrla2jszRtX/o7lE/E9V5GLnW4TRgGSvoaMAiilVPTjHM2y5tP3B4sK1OpzpQtcaDSaVwCfw8lw+DZOg/stOAUvljWqFNEjiJvzYZjOz3ZHNl7y1rxmY4ejMHt563aitF0tvM+9MK9kLGSYVd3cEyziGW1onz+V21Kxyv7u/Txw4oHS+z5/ezJfiOCHdnwouB8xA2FXfhvHMCRkqJV5out2Dg6VjdFnOm4pvR5I7CNvraI1Mc0EF1GFQTj2ZPlY/MeTbic5PQqnYXJ2spSdpoC7rxuKaAALScO5Rjs7dpIpVaxTrgdLaE+0A8fIEsMSI1BVtWvtTXD6AUgUSIlwcG0bwxcnOX4eNheuDOxn7+poo8czRooopopTpGIWW3tzjmJuCPTugmTBt375eAupWNCjByAxzibXQKcCq7Lsu1Jg+Qybjaq1fFViKc617iQxcr+3Mw6saePU+BT5UwaMQioZh5HgmAYSmGuC4Xgz3THCxCVNm72Gzlj5wYBhCAkj+sGDZbnfqVwSmGZrb47nzg+XtgvjGUZF5VTHu6RmYDq4nvOVKs/QnpYEw75ld+0f4A8fr5Tl0b53wcw4e9uSPF8c44L5Xd+nZaPCVgYYThGKcNk/z/Dxf1PWtaxzjKZA7Gb5hW2GHta4x7gmv4bYueAFmS4W3f2Ux+orpJgtFrlyqB1hPDAGyQJceTe88I8wcACmLsKFk8AIeB7pkofUkXrW7fGVsA0mpot05xM8p67ncG4Ps257gpwZK3m8S/M208lrUxf4x9GjNJuaBpZSau4W2RqNRqPRLG+2KKW2A4jIZ4EH5li/AhG5FfhtwAT+UCn16wsrYiW+B9EYlMPFAFa3pUpKxe4B15PzVHD7uUoSe59bbkOgabfL6NX5Lp6cOkvKSkZvGFGIoip9e+HIDwOLBnIDJQMrbsbpwnmaPWa3QaaLQryAIYaTtwSlAgvlp91B+efiQrwbVjvKdlgftyRGmz2I6T1MNE3Y+Q4IK5wurQnHkGlLtjGrDGaMOLNFFfCYvWX9WyimVkPbJuyHZtmdezsDuaD3oEulOS1wzaprefz5bjpHvli5MxGuWfcmetI9fPEZ5/Pt7TsxLqbZ1ra2cv3yhgDs6MvT8XySTNFyDKxZx1lb1fPp0pGNO/2QXgqGHAJkEjYj45Ol8DEPf3idd93Wp3JsvNga8NQEPE7tGyiMPsNY0eLAmhZ64gWS6STvObiaXNLmD+5zVnuurdxF4d0HVnN0NMl3nnVyi7zxCimbdZ0Zimcdo9Ir318P6ZjF7tUFp0XByDS5hE1hPAaqspgFlA2LYrHsyTEn3eIgcfdhQaYT0zhNwnb6UqU7hrhyTRufuzgIRIdCApDIcWkqTX88S8w4EZzh2W449xJv6b6Kpw4517ItE6sojqFQ9LUk6Zp18828hxZD11c9B3ZEI2SAYsR3fdb1YNmlRmKOp8wyhHWdWbh4qbS8ckdJ5+DtlONBTbWG1g0aWOm4xfZVabZ15TlxfoJJO48JrLM2cWf6dOS9aGuijYtK+F7Vo10a6i3TrtFoNEuG04y4rfoKN3xy6YTRvBIoqSBKqZm5PDthRMQEfhe4GaeW8g9E5D6l1JMLKmWIZMzk3KVppmaKiKtIFGuE/zWKZ6Bs78vzwpkxtruNTm8rrGbXbDurslVCisqutchRI9/71jWrHMO55CAYJneuu7NU/AFwQpOu/0UQQc2UK5BVNjmdm2pGmeGv9Na6pur2hUSBuzbdRS6WY3hsmi92v5V164Jjdqe7YcNt7ruoNhSKPrLc2X8rVrIl2Dg1xI6OHYH3d266kZ3tY6UCA7VI2Ca7Blo5/YQwqxTb27fz5HBwylpG5Tl89wG3KMrLlWNe0V/gwmRQGT+W3cmD2bd5h+ZcXxGyKZuDnW2hjr7OuZrq2AaGWWoVYDPrhKoaFm2hhsiTvlLwHdk4RSMGSmGIoNzQsGzCwjaNyBqIgSqZkVNWiFvBOWm7486oKWhbByOPlj7LuMa01zPOELCKbqRxYQB2vwdyvVw/eYLjY1OOwZnpgBs+ycjXni3JHoW3XHnNlv2rbX0LjJ2m+/xhpluyvDhmRM7nmBGjvzXFNlrg3Km6HohEzQOIrgC6oy/Pk8dHGWyPmIMi0LbWeahSKDe6rhjGMCGRD24HiHtvOTtx1pXL4J1b3sGJs8HNu61+8ub5yGMzRNg9UGD1vn7GpysN5KVCG1ivcnSfK41G8ypgZyjEPekLf68n3H0/8JzbxxER+QvgDmBRDaxbt/Xw/UPDdOUSvOQuU4YFzEQbCvvd9gbPOmHfcxmSnnKbiVu888qyMSUirLIyNR6zh3Is/IS3sT0vWHl5wlfsYLCli1TsJS5NzaEIueN6T9rjhkVfej3nzl6otVXdmIbAbD19u6Al4RhEnVmTD9+6a87zXA3bMOtObt/VuYuutJMn5q8OCHCo9ToOxl6AqUsV2900cBM/fPafaTcTmMk23r/t/UzMTPDnP/5zAO7adFeNvVYax9lYmsnZ8cBaRbFKYVvOOo4XJ1x1EWBdR4ajhwg2+AWKnqcowvhWRtCTmo87ivkVsXamWvMcuVS2+T943RAjl6b44g+PkLBNJupRsCNCXW0xQEFRzcCOt8HzXy59NtieZm2qjd6zSejejmAwfNhnlOed4jMzagYRIWaWz00yZjA2OVvV91pu0K2Q8LfcTjhGS6aT/ktn6c/1wDP/RPh7aJs279/2fuInHodzX6NaCQX/6IkqPaeiDK/OXIKff+36yHFAoHWo8YegaSf/bdJyvG5Tyinbn0mYtCfbOUGwncuElXO+d6l2p9UABAy+uGW6RV6ahzawNBpNU7mvioF/34vVDf8jX/ovABxc2xbIWdBooliAcPdVwGHf+yPAleGVRORu4G6AgYHqCeX1kk/a3LI12BOoiAlE94epSIb38Vz7jaAU64a/0YAEVdTAkgcrqJi+Kb2G0f7rYcSN7WpbB/1XwgvfCiSfp+00bxx6I1OzU/Rl+0gcf4bvHgr28qqGaZh8uH0vzEzxjTq9eXN6MCjnfoSbL99+RS+Hz1YaLuXxGjOurugvcNqnK9a7/cHeg1U/O5XZBL0t8OK/Ogt8xUBaEi3c7CtukLSSJH2hn54xFEkdst216S6GjwefM6TsFDevvpme4TMV6w/0djEw1Aa5dncXrsfGu5Z2paJfDBlYCSvBhw98Eh7+Ex5s2wovT5VMiEzcIhO3+IWbN/CXPzzM0XPjgcr/Xjjs5Izf81F5nOWAtUrjRIC+lhScE4ilMYauRx15tmK9afc6+MPvfmJvPy8NX8IwhKt6r+KF8y9UbAflYiORD1KsOGx+I5x4vJr4zjX2zmmVhwY72nfwb899HUEwDZOreq+qWOe6vutg1XWR25cI2Ffze9hA/37I9zH6wBipmEk6k2XXwAy3rb0lcvXRRC/seS9ke+Dp06XlfmO22WgD6xXOPY/cU7HsodHyD5n2XmlWMt99fpjJ01EhOA7V+u5oNA0SpTVUaC1KqXuBewH27t27OJV3jRrNYGtwPrue6dmggTWncm9EFLGAclhOaPt+OwvtWwHXwMr1OOXGr/pIRS+ncE6SnznlOvgRR4bnHe9VVy766TvAHVf0BirvVR255KwJrrG2I8PajsreSfPlhk2d/GVEcYP5srE7y9MnQl682RodaxeYlkQLd1+9h688fJTxqdmSQbK+ZT1E5fW0Djk5bgUnDNEriKG6t0O2Dzoqq8e9df9asomQ4pwswFUfofjiWeBMpOfx+g0dfOPpU3Tny/Nj32ALL58dY6DNNx8jPFhlw2bu8Lpq8/V1g6/jyeEnycXKDvJCKuYUDwGu6LyCKzqvCGxTdI/DGVPmsFdqeJKdQULrBTnYe5Dkvk0k3aqeflneveXdTM1OBYzxKNZ2Zpgu2pz0XOx15n1Gyppfxdv3jZNP2vzVc/9Kwna8V1F88Loh8PIe3SFv6L2dKwd74V9/p6YMS4U2sF5hVFYIrO+poEazkugbfbD0+sDI+YrPvzdw91KKo3nlcwTwJRTQR5MaFBe9stsNPijuyMY5NjLBlp4cD086FbaqKjv7PwjT1b029O2FQ/8S6GsU5vXpQY517HTexGt4SSKYs3hFqXqdY1hs6a0e4TkUMo6qG2+OIh32YC0G5eJt83za7+MN23t4w/YeeOFkeWGVAh1+dnbsZFUm2EdtdW41adsfflhZ5CKKrlyCn9jbz2NHz5OPLKAR2t6X47atfRvDE8N05VdDe9C4ShgWE8UZ+lory997eIVgokyIzlyCt+8LGvJtmTh3XxcqEBJxHUxX5mIdBlY12pPtjgeoATw7cVN3lseOna5alj+wcjV8DX4jPxZh10B09Um/UViL23f2Mjk7yWc9A+sy57QX1ud5/7wQxfCwmYg2DC3x9tD8bS7awNJoNCuaqBDDI27rgXsecUKmdBih5jL5AbBeRNYAR4F3AO9cWhEEUGxf3cnh0dlSifZ6uW1HL08dHyX3glVygFU1NtLRT41LrL7K+fOz7wPgK0Cxxs6xZtXVDcnYEVsPnCVuVpb/jiIqfKsRVhWSjE/PcnZsqqTA1VuZcKGZNhcwXyTfN+cqV0dcm9uGbgsumENZ3thSDvtsTcd4zYa5GzuH6cv28a7N74r87B37Ps6lkZciP/PwF4WYN3ZlsYbx3oNw5PmS5XZXdgMn1QT/4K3ghd8tsLfQO4zOXJyff+0GPvvYt+vYStizuoV3b1pdsTw46lKwMN+fmaITBu2FV1YrCuJnuTXr1QaWRqPRaDQ1cCsPfgT4Kk6Z9j9SSj2xlDIc2/huRs6d5WDM5K175lagw2TiFvsGW+GFsqKyoMZEpnHlusSVH+KhiRfptzL87M71decllVLBGthVOF0kGTNhDFS4n86SUN7Xj7rfxnX7e2usWyeD11QuaxmEyfkUA6kscuFx6+CtDOYH5zFm/aR6d5Hq3VVznU43PDSbmIc6a1hQnIFYijvW3cG5iXNw7m8BmC6sdQwsceZFy8Y3cvhCynm8AtC1BY4+CD2Ol7Y7n2Bd5+WHkmbiFuNTsxgigX5i0ZRNiphl0B6qvjiXB2uh8O4jphhVjfJGH4Z45eE9D5ZtLr5neaHRBtYKIxwCOBf+UCqN5tXGd593QmR1npbmclFK/T3w983a/51X7airwh3AHevu4MXzL0Z/mOkoNXJdVG9NI4ZKqpUp64y72eIaOP7hTUNKvb8Qt8gFS6DIRVzHGTMxt+ewvsErF11Rq1Lg/MjGsnOHU8YzMHlAnsu6AAAgAElEQVRxQUIhq7GqkOTu64b43FP1eT0DHPhZx8ACVmVWuSGTjoHlHZtneNO/j+mXnHwvwAl7PViOjLhr/+UXtQG4c9cqjpy7RMKuo4DLXE8YptwGxHN4AS8Xcb3rvVYmsgrk5VA2sKrPoQ7XsGxJLZ8CF6ANrOXPN34t8PbAy8GcKp1rotFoNK98TMNJeq+HsrIYwRXvgqLTVGbRjJltb4H0ZXi06qRmO64q+I/55i1d/N2jx52xqlQRXAzas3Hil1bAE/nLnR973g/nDzs9jxaRdEQ+Tl3EIzxOXVvg5JP05FIYQnSvp0UkE7fY1F3Of9rcupmeTE/0ygl3vWp5R14fqkYag88D27R5S3qIVjPhy49cGLzvY6GG8bS1N0dnNl7yZtK1xaku2GS0gbXCecjNNalG44EkGo1Go3nFYidLiuWiebB8Jdnr5aq1bQ33rSnXUJvfcWQTNoNtaU6cn2Aw38cjZ46WeiwtJjds6oJ4y8IqvqVwsAUcc9rNqatRzKQm8Qx0VlYFXNZsvh02386q8dNcOdTGls5yXtMiR9pFcsPADdU/bB2CXe/mbXac8dmJys+TbgPrRTawALot18ibY65439WWRAtvWf+Wquvdse4Ojlw4UnqfT9rcfd0Q937rUOWYImXjCmDLHQ1IvnhoA6vZhDxUYe7xdQ8HOGyMh9bYs8ACaTQrn3BobFSlwRLfaKv4nrHm2sBbXSRD80pkafONanPlUPUeXtXY2ZfniWPnL8vLcGCole19edIxkx2dG8nEFq4ke3UWofiA5yUq1tFYt142vh4Of9/XLLrciHk5zR2ANw29KdDAet64x9WZ6uQ9W94TqEq3o6/AmYtT7F8TXXmvKRT6qeor9orFJJdQ3ljt76I3b9J2umYxmygv/Lw9lU1iZUm7wonKn/KH/B2cxw+MzrHSaOamWjNjgIdHjlb9TKN5JdOsinkLRWcuwcduajyHcmtvrhSGJSKlks9LY1yxON6mUlPZBRyzZ4fz52Nbxzb+5fC/kLGX6FzVSX+uf+6VGiQ8H2KWwa3buqusvQwxDCf/bgnCdUtEVGSEsmHeleqiLdnG1ratSydTk9AGlkaj0Wg0ryIEQaGWnRdiqbhl69IpybsGCpW9oRbFwFqEMSPY2rb1VaEcv2JoGVza/VW5pxhu03LbsNnXvW/ew99+xQJU2lwitIGl0Whe1RweCYfdwpHnfZ7ltW3c88g9NceYK4TwcrfXaBaSd215FyfHTs69ouayuX5jZ+VCTwldyJweU6tzmuXLYG6Qfd372N6+/bLGWduxvDyntVh230gRuRX4bZxeI3+olPr1JotUk7kUJ14oN4k7FaHIwbrSq+8eGq74tDLnSqPRLDb+0NvDD1d+fiQXzn2c4z4wB9oA0ywluViOXCw394qaxSHC2zSvPk5+OrfCxdMw2FhzZ41mKTDEuCzP1UpkWRlYImICvwvcDBwBfiAi9ymlnmyuZHPz3ecrjSOAvtHaBlKt3BCNRrM8Cec+RhlhfvobrI4WLrKh0WheSQSLXNy1f4Bc8jLVMdOC9Tdd3hgazXzJ9cCls82WYlmxrAwsYD/wnFLqEICI/AVwB7B4BtYcVfy44ZOLtmuNRqOJxOf5Brgn9F5XOdRoVjClEEHHg9WdX4DqdxpNM9nzvmZLsOyQejvDLwUi8u+AW5VSH3Df/yRwpVLqI7517ga87robgaeXQLR2Su27VyQrWX4te3NYybLDypZfy+6wWim1hOWvFhYROQ28dJnDrJS5sFLkBC3rYrBS5AQt62KxUmRdCDnr+m1abh6sqPIjAQtQKXUvcO/SiOMgIj9USu1dyn0uJCtZfi17c1jJssPKll/L/spgIYzDlXI+V4qcoGVdDFaKnKBlXSxWiqxLKaexFDtpgCOAv5lBH3CsSbJoNBqNRqPRaDQaTUMsNwPrB8B6EVkjIjHgHcB9TZZJo9FoNBqNRqPRaOpiWYUIKqVmROQjwFdxyrT/kVLqiSaLBUsckrgIrGT5tezNYSXLDitbfi27xmOlnM+VIidoWReDlSInaFkXi5Ui65LJuayKXGg0Go1Go9FoNBrNSma5hQhqNBqNRqPRaDQazYpFG1gajUaj0Wg0Go1Gs0BoA6tORORtIvKEiBRFZNmXogQQkVtF5GkReU5EfrHZ8jSCiPyRiJwSkcebLUujiEi/iHxDRJ5y58xHmy1TvYhIQkQeEJEfubL/arNlahQRMUXkYRH5u2bL0igi8qKIPCYij4jID5stTyOISEFE/kpEfuzO/YPNlmmlstzu3dXuaSLyKyJy1J2vj4jIG3zbfNKV/2kRed0SylrxHRKRVhG5X0Sedf9tcZeLiPyOK+ejIrJ7CeXc6Dtvj4jIqIh8bLmc06jf4PmcRxF5r7v+syLy3iWU9Tfde9GjIvIVESm4ywdFZNx3fj/j22aPO3eec48nqnXQQsvZ8PVeivtDFVm/4JPzRRF5xF3ezHNa7d7U/LmqlNJ/dfwBm3EaG38T2NtseeqQ1wSeB4aAGPAjYEuz5WpA/uuA3cDjzZZlHrL3ALvd11ngmZVy7nF60WXc1zbwfeBAs+Vq8Bg+DvwZ8HfNlmUesr8ItDdbjnnK/jngA+7rGFBotkwr8W853rur3dOAXwH+Y8T6W1y548Aa93jMJZK14jsE/FfgF93Xvwj8hvv6DcA/uPe9A8D3m3jNTwCrl8s5jfoNbvQ8Aq3AIfffFvd1yxLJegtgua9/wyfrYDW9AngAOOgexz8Ar18CORu63kt1f4iSNfT5bwG/vAzOabV7U9PnqvZg1YlS6iml1NPNlqMB9gPPKaUOKaWmgL8A7miyTHWjlPoWcLbZcswHpdRxpdRD7usLwFPAquZKVR/K4aL71nb/VkwlHBHpA24D/rDZsryaEJEczg/yZwGUUlNKqZHmSrViWXb37nnc0+4A/kIpNamUegF4Due4msUdOA8AcP+907f88+5973tAQUR6miDfa4HnlVIv1VhnSc9pld/gRs/j64D7lVJnlVLngPuBW5dCVqXUPymlZty338Ppq1oVV96cUuq7ytG4P0/5+BZNzhpUu95Lcn+oJavrhfoJ4M9rjbFE57Tavanpc1UbWK9cVgGHfe+PsEKU/FcSIjII7MLxBK0IxAmxewQ4hXPDWTGyA/8D+D+AYrMFmScK+CcReVBE7m62MA0wBJwG/pc44Zl/KCLpZgu1QlnW9+6Ie9pH3FCbP/LCcGjuMUR9h7qUUsfBUciAzmUgp593EFRWl9s59Wj0PC4HmQF+Csdr4bHGvU/9i4hc6y5bhSOfx1LK2sj1Xg7n9FrgpFLqWd+ypp/T0L2p6XNVG1g+RORrIvJ4xN+K8fz4iIpzXTGeiFcCIpIBvgR8TCk12mx56kUpNauUugLnid9+EdnWbJnqQUTeCJxSSj3YbFkug6uVUruB1wM/JyLXNVugOrFwwkl+Tym1CxjDCcvQNM6yvXdH3NN+D1gLXAEcxwkbguYeQyPfoaafaxGJAbcDX3QXLcdzOhfVZGu6zCLyn4AZ4E/dRceBAfc+9XHgz1wPfLNkbfR6N/2cAncRfCDQ9HPagL61ZOdVG1g+lFI3KaW2Rfz9TbNlmwdHgH7f+z7gWJNkedUhIjbOl/1PlVJfbrY888EN8fomixDSsUhcDdwuIi/ihE3cKCJ/0lyRGkMpdcz99xTwFZobVtUIR4AjPm/nX+EYXJrGWZb37qh7mlLqpPtApgj8AeX52rRjqPIdOumF/rn/nmq2nD5eDzyklDoJy/Oc+mj0PDZVZrdQwRuBd7kharghd8Pu6wdx8pk2uLL6wwiXRNZ5XO9mn1MLeAvwBW9Zs89pFX2r6XNVG1ivXH4ArBeRNe4TsncA9zVZplcFbnzyZ4GnlFL/vdnyNIKIdEi52lISuAn4cXOlqg+l1CeVUn1KqUGc+f7PSql3N1msuhGRtIhkvdc4SdorooqmUuoEcFhENrqLXgs82USRVjLL7t5d7Z4Wyld6M+X5eh/wDhGJi8gaYD1Osvtiy1ntO3Qf4FUFey/gPTS9D3iPW1nsAHDeCytaQgLegOV2TkM0eh6/CtwiIi1u6Nst7rJFR0RuBT4B3K6UuuRb3iEipvt6COc8HnLlvSAiB9z5/h7f8S2mnI1e72bfH24CfqyUKoX+NfOc1tC3mj9X1QJXHnml/uFM/CPAJHAS+GqzZapD5jfgVFR5HvhPzZanQdn/HMftPO2e959utkwNyH4Njmv5UeAR9+8NzZarTtl3AA+7sj+OWyVopf0B17PCqgji5DH9yP17YgV+Z68AfujOnb9mEaqFvVr+ltu9u9o9DfjfwGPu8vuAHt82/8mV/2kWuHJYDTkjv0NAG/B14Fn331Z3uQC/68r5GEtcIRhIAcNA3rdsWZzTqN/g+ZxHnPyn59y/9y+hrM/h5NR48/Uz7rpvdefGj4CHgDf5xtnr/u49D/xPQJZAzoav91LcH6JkdZf/MfAzoXWbeU6r3ZuaPlfFHVSj0Wg0Go1Go9FoNJeJDhHUaDQajUaj0Wg0mgVCG1gajUaj0Wg0Go1Gs0BoA0uj0Wg0Go1Go9FoFghtYGk0Go1Go9FoNBrNAqENLI1Go9FoNBqNRqNZILSBpdE0iIjMisgjIvK4iHxRRFLNlglARH5pAcZ4m4g8ISJFEdm7EHJpNBqNZvkgIhfdfwdF5J0LPPYvhd5/ZyHH12hWCtrA0mgaZ1wpdYVSahswBfxMvRt6zfgWiYYNrAh5Hsfp0v6tBZFIo9FoNMuVQaAhA6uO37DA75BS6qoGZdJoXhFoA0ujuTy+DawDEJG/FpEHXQ/Q3d4KInJRRP6ziHwfOCgivywiP3A9YPe6ncgRkW+KyKdF5Fsi8pSI7BORL4vIsyLyKd947xaRB1wv2u+LiCkivw4k3WV/Wm29KHn8B6OUekop9fRinzSNRqPRNJ1fB651fyN+wf0t+U339+lREfkQgIhcLyLfEPn/2XvzODnu67Dz+6p7ek4MgMFBguIBUqRMUrJEyaQox7ItyZa8cXzbsddeZ53YGyWWnd1o1+u1Eifxx/p45ewnjmzHoS05kqiTkqyTkige4n2BBIn7xgCY+z767uqu4+0fVdVd1cfMABhgAPH35QfsrvvVNf3e713yBYLmrG1/7zr8DkXeMgn3fUREDovIr8X2/ZSIfEVETojI56PfRIPhaia90QIYDFcrIpIG/jHwcDjrt1V1SUR6gb0i8lVVXQT6gSOq+h/D7Y6p6p+G3z8L/AzwrXAfNVX9MRH5P4BvAj8ELAFnROSjwE7g14AfUVVHRO4D/hdV/SMR+X1VvSvc7x3t1gM+0yyPwWAwGF6T/BHwB6r6MwChoZRT1XtEpBt4XkQeDdd9O/AmVT0XTrf7vUv8DjXxS8BdwFuA7eE2UaTEW4E3AlPA88CPAM+t/+kaDJcPY2AZDOdPr4gcCL8/C3wi/P6/i8gvht9vAG4DFgEP+Gps+3eLyB8CfcAQcJSGgfVg+HkYOKqq0wAicjbc5zsJjK694SBfLzDXRsafWGG9ZnkMBoPBYHgf8GYR+ZVwejPB71gNeDlmXEHn37tOvBN4QFU9YFZEngbuAfLhvicAwt/W3RgDy3CVYwwsg+H8qTSP0InIu4CfBH5YVcsi8hTQEy62wx8VRKQHuA+4W1XHReRPYusBVMNPP/Y9mk4DAnxaVT+0iowrrVeXx2AwGAyGEAH+jao+kpgZ/L6VmqY7/d6ttO9OxH/rPIxuavg+wORgGQzrw2ZgOfyxuR14R4f1oh+hBREZAH6lw3qdeBz4FRHZCSAiQyJyU7jMEZGuNaxnMBgMBkMB2BSbfgT43eh3RETeICL9bbZb6fcu/jsU5xng18I8rx3AjwEvr8tZGAxXIMbAMhjWh4eBtIgcAj4M7Gm3kqpmgb8nCAH8BrD3fA6iqseAPwYeDY/1GLArXPxx4JCIfH6V9ToiIr8oIhMExS++IyKPrLaNwWAwGK5KDgGuiBwUkQ8C/wM4BuwTkSPAx2jvTVrp967+O9S0zdfD4x0EngD+UFVn1vVsDIYrCFHVjZbBYDAYDAaDwWAwGL4vMB4sg8FgMBgMBoPBYFgnjIFlMBgMBoPBYDAYDOuEMbAMBoPBYDAYDAaDYZ0wBpbBYDAYDAaDwWAwrBPGwDIYDAaDwWAwGAyGdcIYWAaDwWAwGAwGg8GwThgDy2AwGAwGg8FgMBjWCWNgGQwGg8FgMBgMBsM6YQwsg8FgMBgMBoPBYFgnjIFlMBgMBoPBYDAYDOuEMbAMBoPBYDAYDAaDYZ0wBpbBYDAYDAaDwWAwrBPGwDIYDAaDwWAwGAyGdcIYWAaDwWAwGAwGg8GwThgDy2AwGAwGg8FgMBjWifRGC3AxbN++XXfv3r3RYhgMBoNhnXn11VcXVHXHRstxoZjfJ4Nh/ZnN2wBcM9izwZIYXqus9bfpqjawdu/ezSuvvLLRYhgMBoNhnRGR0Y2W4WIwv08Gw/rz0cdOAfDB975hgyUxvFZZ62+TCRE0GAwGg8FgMBgMhnXCGFgGg8FgMBgMBoPBsE5c1SGCBsPlJApN6IQJWTAYDAaD4dKzVKox1J/ZaDEMho4YD5bBYDAYDAaD4arh2dPzGy2CwbAixsAyGAwGg8FgMFw19HalNloEg2FFTIigwXCFYEIQDQaDwWBYna0mPNBwhWM8WAaDwWAwGAyGq4YXzyyiqhsthsHQEWNgGQwGg8FgMBiuGjxfqbr+RothMHTEhAgaDOvAO8Y+Dk9ua13w7g9dfmEMBsMFISKfBH4GmFPVN4XzhoAvAbuBEeBXVXV5o2Q0GAwGw5XPJfNgicgnRWRORI7E5v2JiEyKyIHw30/Hln1IRIZF5KSI/NSlkstgMBgMhg7cD/xPTfP+CHhcVW8DHg+nDQaDwWDoyKUMEbyf1h8qgI+q6l3hv4cARORO4H8G3hhuc5+ImBIxBoPBYLhsqOozwFLT7J8HPh1+/zTwC5dVKMMlZ3SxRNX1NloMg8HwfcQlCxFU1WdEZPcaV/954IuqWgXOicgw8HbgxUsknsFw2VmtSqDBYLgiuUZVpwFUdVpEdnZaUUTeD7wf4MYbb7xM4hkuhqrr8bV9k1y3pYdfu8fcM4PBsD5sRJGL3xeRQ2EI4dZw3uuA8dg6E+G8FkTk/SLyioi8Mj9vGs0ZDAaD4cpAVT+uqner6t07duzYaHEMayAqRDeVtTdWEMN5Y4oIGq5kLneRi78FPgxo+PkXwG8D0mbdtq+Oqn4c+DjA3XffbV4vwxXDi2cXW+btcY3XymC4ypkVkV2h92oXMLfRAhkMBoPhyuayerBUdVZVPVX1gb8nCAOEwGN1Q2zV64GpyymbwWAwGAxteBD4rfD7bwHf3EBZDOuM8YJcvWj7cfjLx/heKJpIKkN7LqsHKxoFDCd/EYgqDD4IfEFE/itwHXAb8PLllM3w/c9qOVAffO8bLpMkBoPhSkREHgDeBWwXkQngPwF/DnxZRH4HGAP+6cZJ+BpGFYa/B9e9DfrbtMS40N1utJJuWDPNjYU33Dge/h6IwLtMYVFDK5fMwOrwQ/UuEbmLIPxvBPhXAKp6VES+DBwDXOD3VNWU9DEYzoO1FNEwRqTh+xkRGQQ+RBAF8V1V/UJs2X2q+oGVtlfVX++w6CfWT0rDBVFagIlXYHkE3v4vgaDZrO149Heblp4JVMFzIJ3ZaEnWlQ03qNpxRQr1/cnoYglLhBuG+jZalDVxKasItvuh+sQK6/8Z8GeXSh6D4WJ5x9jHN1oEg8GwMp8CTgNfBX5bRH4Z+I2wQu07NlQyw0XSqsg+cWKOI5M5/s17biWdurCMh7h+XHN9MumNqP21zpx5AsZfhh/7A0h1bbQ064bf7MHaIDmuZipuBVWlr+vqMFLifG3fJHD1DBSbYR+D4RLwoDUMwET+S4n5bxv8tY0Qx2B4rfB6Vf3l8Ps3ROTfA0+IyM9tpFCGdWDy1eBTGjWxhueKADiekr7AzplxJX02b181o+MrMnMo+PSc7ysDK7pXm3u7yFWcDZXlauVTRz4FwAfuWtGZvzFUlqFWgs3X12c9P/k8s+VZfum2X9pAwS4MY2AZDCGrhdit9/B3J4/Ynhvfv85HMhheM3SLiBUWUkJV/ywMUX8GGNhY0b7/mShMcHD+ID99808j0q448EUwdSD80tivFX6NezZc32UsP8YtW25Z027jeT2O51+0mFcG0TXq7OOJznvd79MlJLpV0X1vzsm6Gjk7X8RXuHXnlfnnqepVKTklhnqG1m+nh78C17wRdt6RnL/n74LPd3+oPuvg/MH1O+5lZk2+cBF506UWxGAwGAyGi+RbwHviM1T108D/BdQ2RKLXEI+MPMJofhTbu4CeUnYeCrOrrxczCFKhpu3FFO2Xpl/i4ZGHmSxOnrcI/mXQ1x88OMWB8ezF7+j5v4J9nz2/bVRhaj8VO8ffHvxbDi0cung5LiORIW1ZF2YUur7LgbkD+LqKIT17FPKrFLJeJ+Pumwem+NbBxrFUlRfOLDBXCN8hzw28OhvE0+NP88UTX8Tx1slj6LmwcBqOfuO8NlvJmFZVXh1dplxzL1a6dWWtwcZ/JyIvi8gHRGTLJZXIYDAYDIYLQFX/UFW/12b+w6p620bI9FoikwqKKtS8C7Bl99wHr3xyDSvGPVjBdz9mGVXcCgDFWnFNh12zmpybgPmL72t4Zq7IkyfWoZVarRzI1A6pu3iS83MTcPJhSqe+A8DxxeMXL8dFUq65LBar57VN5HU7XxNn/9x+Xph6geNLq5z3sQfh1U+f597XQH4qCINbaRXb5aWzS3z38Eww49R34fm/Bn99676pKvOF1a/7cDZId3B1nYwXp4SqklX3vDyQKxnFuYrDM6fmE4bqlcCaQgRV9Z0ichtBU+BXRORl4FOq+tgllc5guAzsa8qTimNypgwGw2uJZXuZTCpDf1f/eW/bZQX5Po5/AaPda1W2pDVE0IsZWOdr5CUPu4IMkbcoFr60EQzPFShWPe66kI39QEm2amVIr6y0XigvTL7AgfkDa87x+cyLo1Rq3poKF7SGCJ6fbNEzsS7emAvxYEVG25Yb4K2/2WG/wcdSKXx+50JjsJqH3q3nf8wOnJ4r8p1D0/zsW3Zx685Nq66/buGY6jPjlfl6eYQfWzzKm7avLUDOW6GweGRwLxSvrCCFNedgqeppEflj4BXgr4G3SnBW/05Vv3apBDQYrlSiQhYGg8Hw/cIDJx4ALiwJXkLv0qqK+9P/H/aOHyB9+z8hbaXBqZzXUSLqIYIxAysy8p6dfJZbt95Kb7p35d3F9MZLltIzexS2v2FdCk5862DQSvSuFbW31hC6ilthuTLPdYAVnme8B9iacrIqWWae/wwP6o/zL97zg3S1qdx4YD7IlfN8j5TVofLIyYehZzPc9MNUamv3zNRDBC8wbyx6Pje891l2vOOiFtkiz9V6PJzzp2BhGLbfylw+8F4tlVY2Nl8dXQaUe4ay3HPj+RWAydsOBdvldVti76AqeT8whGZKM2s3sHzlHWMfZ3rTm4Cro4rgWnOw3iwiHwWOE8S3/6yq3hF+/+gllM9gMBgMhjUjIpaI/KONluO1Qrnm8urocmKEe1UDy/f45Mkv8rXT4djsc3+59gM2eaauLRzGjxlokYEFUHLOL3flkqjd2bEg5Gz48Y6r5CoO40tlJrNrMzRlzeFajTN66OxDfGP8cTz18UNvQPw+/eX3TvPAy50VfwCm9nFudIzN+ZNU3ZXv8USxQ/ii78HUfjj7FOVaCVfXHh4YnY21eg2P9qxrPY/LbKStYGDtG1vmo4+dSoTKnsud474D9yXfgSNfhcI0eE7dkFstna3m+tRc5fHjsyyXVvYQ5aq5hHfw08+P8OW9Tc+UNkxIWeGGzBeqHJ7I1acdL3hmdxWOtK58hdY6WWsO1t8A+4C3qOrvqeo+AFWdAv74UglnMLyWeNAa5kFrmH35L7X8MxgMayOsIPgXGy3HpaLm1RjLj220GHW+sX+KZ07Nk6+4LaPvru/y7MSzFGqFem5UnIXKQusOOyiSNc9HVXGKs7B4BoB+e4bdyy/Sfebh+npRiGCwq9U1r6QXZ9XVV+STRz5Z9wDWiRROO1AWN9nTWE0hlJ987hxfeXWCL+8dp1Rd3XhK+U7ruXlOw9vRJgcrW80Cgq1eWwMLgjL1X311IqGoJ9CGatyJIRXwvc4hXbFj3n/0fg4V1l7soO5lu0hL6VJXHzwymeNjT5+5oON03qTzvl48swjA1/dP4oaVME8snQACL1Hrrvx6QZfVnIGbqjPsKJ0G/JY+ZHFc3+Xzxz/Po6OPxua1WV/98J2LSoC2N9Q/8+IZvnp4f33aiz03BTv5/my4R7IDazWwfhr4gqpWoD5C2AegqudZxsZgMBgMhkvKoyLyy3I11aBuQj2PidlDVL0qZadcn79neg/fPvttpooXltC9d2Yv9x24b73ErPcjiitfkWJ5cukkhxcO89ljn63330lQnINX70/Oa5PMf3Z8gldHl3m+MMPf545SXjoDe/6OrYWg6MR0eZYDc0FoWkoaYWlryTGK64wXq6jZrs2y3amIgYKd541z3+L1S0/XFeFm8nHl8fBX4Kk/B4KQu+i6pv0qLVs/819g/+dajxmSSWVAAgNLa8WOFRvHlsrYbngPDn4Jzj0b252Ge5X2xoOdp3viVVg83XbfwcZxyc/vejcbBSver8IM5KcTs84nRPCx8hj/cOofOq+wgrHx0NGzHMk9g+2eX/GOQLbzP14mDNUcWyozkw+qD3anugFYLpfahmH6awgJ9Xxlc3WSbi+Pqrase2ImX88Vi4rKjOZHO+4vOA+/4cGa2Asvf6ztauP2Ps6UG8+eFzPEmq/ElVqtf605WN8DfhKIyvL0AY8CJgzD8H3F9flXE9PvyOY6rHlhxL1RcyaHy2C4VPyfQFnIsaEAACAASURBVD/giUiFYLhUVXVwY8VaO2ePfYlHhr8V9IvpG+IDQ2+Drj680ACZLc9y3cB1Ldtl7SxL9lLHPlB7Z/auXQjVwOBJhXlSk/vgpn+UGPaOvsYNLD9U/1dVZOdPwpbupmN6NKsmC/NB1b0T9jJkIF/L01dZZlvuHCXgu/mj9E5luGtnsvTD2YUi5coAN28PCnbka3kyVoaedE/jcLH1l0o1prIVrtvSPm/L85Wv7B3jhqE+br92kKH+TNv1Ekg4jq0+I7NLAPQ5S0xlbW7c1prT4rgxiRYCQ6XqVfnE4U9w7657gU2k/Bqer6RSTcpxc2nxyJiplRNaqG8XoDjMoj9IueYmQrESLJ0N/t38o9EOg/93Usqjyo1OpbP3Jm5gxVbxfV29/Hq9yMUaxk1eCQ36WFGS8xlvOV3LQqlR7XG2NMuivcid2+5cddsF5yxZZ4KD84d4x3Vv77he1V09/6zsO9yfP87Plabw/DJVr8obtiZzkLpiz0F02dNW8A59bf84z3X38G9/MraNKuPLQauAla7I2flGJU5Fg3DCsT1w5kl494fqlQ4/+N43nEdhm/CvgoCVHYe+9s9JVQuJ6fhgSarpPl6h9tWaDaweVa1faVUtRh4sg+H7mYstZNFssF0o+/Jf4p99tf3+fs6/NfhiGhQbDACo6uplsa5wlpfCvz3ZUegbCpQa4MTWoFNKpzCpB048gKL8+u2/zkBmIJGTdN6MvgDnnoF3fhBOPQxzJ2DwOhi6uWXVeDRQQrlWPzTSuqKFjWVWmyAa3wWSRpelLh4xD0TkGQgvgVRDZcz30bnjwfGsFN87PstAKqhQ5595gs+d+zY33vIefuaWn+G+A/dx57Y7efNQY5z4pbNLvHR2qWNFu5ztMOXbTGVtnhke5X133MCJaZvfuPfGtusHwjUMrEeOTPNmAg+QvQblOqIS5pgFYV/3gFdm//gyvekUt9Zc+jLNqlwsRNBz4fm/QqUIvYMoio/i+srwbJb7XzhD1WlSWDvaRoHMitVeqV04FdwjsfB9D6YPBc1k48U9OniwfFWsDs/0MxPPcGThCL/xhv8NaDw2kZzHFo8xmBnk+k3Xtxe8+TxWcXnUlxcbXr6Hzj1Exa1w25bb6Ep10azW58pBXtOWvgyigRfV9VcO98xXGsvztsNgT1eLbEt+8Kw/O/0SywTrRwZWwXbCIhQr03q6ylh2kf7UtpZ1C7bDQrHGzdv7sZ3kvRKR+t+hZk/zmr2/6tcFShi8TR5VT5MG20LhAnrrbTBrDREsicjbogkR+SHgfMr+GAwGg8FwWZCA3xSR/xBO3yAinYeSr0DcvlD5qSb7Oa2myETLHzjxAI+PPs5UtpKosndezIYJ5bUSuEEo0HePTHFqtjG6XK83ENPi9s81cidYGIaxPZyezTO6WAryc3wNDAxJGgYFv8bnTnyBfC2fmG+F+TzRsfyWfK7Qs7JwCh17MSgsAQll3ht9EQrTjOXH6vs/tnjsvPJk4mF9R4sP8Tev3I9OHQiMmDYUagUen34RV320soyEcpbU6TjiryjLpVqj0Syg4XlIGJr3SuVh9ukcBUc4OVNoux+AkdlF3ENfCSZyE3XFNgrSqqnNi4tfXuPZJ72UthNTsCvLgWfD6gqUyswAmp+AE9+BM08kd+K0Ksqqiu36PHR4uiW/xvOVR4f34vtKKTQ0raY+WE+NP8WDZx5cVf61hgjWogDMWPGUihu8R23L/88c5otPvsKnnh9JzF4pZwnA8Xws36HbLTA7fBAmXklKNvYS6VBNLzqtfd0ePjLD/rEsy+WVvEftjdZdmwMvbbOEX3hpjG/sb23S3XzNfDd5HeLvUad3SlWhvEhLJp1qSw+8ipf0qjrxd6yShSc/AuN7VzzeRrNWA+vfAv8gIs+KyLPAl4Dfv3RiGQwGg8FwwdwH/DDwG+F0EfjvGyfO+eN2aCx6Pv2pjsyf5kt7x3nhTFBM4uRMYU3NRevUvS+R50KZztp859B0y6pxG268EFQOEwQqSyiQzRf52r5JUJ+zC0XmizUcbcrpqC2Tt3McXzzO2fkipxdmKDklrLBqnhuGz/mLZwHwrJ7E9m41FyhvofGSVLsaU5879rk2c1en2VDtqk1zy9IzMPZC2/Wfm3yOk/kRxtwCahdAFRefZzjFk2c/By/8DTgVMumGKqYK978wwuf3NAqZ+DFPiIbK/wT5zvKL4Hg+e/Yd4OSxA+F6sYIXYZlsAbq8MtcUjq7p/P3IgyUWn98z1iiGceI7gWfDzgVeCRE0UsCbGz4f+DxL5Ro1z48ZfC6jiyVOzhR4/HiyCfPhyRyji2WmchWen3oqPL3guVnJuGzHWotjRAp7yW0Ykq7n8/K5JfaNL0crNTY4/m3ePPPV1v2schzb8bhz7ju8deoBNp35Fpxuai175on6fYsXDXlm4hkc36nnP650Dh0WYhF42c7MJe9PtVLCCp+3uIPpZPkx9s2+Up+u2ElDWeeO1Qu5tGtK/OW94/y3J4bh+LcDAz/eiyw2ELJQrCYaT9uOR7nm1guzAMhy8P4zHPSUvzLNqzUaWKq6F7gd+F3gA8Adqro+sU8Gg8FgMKwv96rq7wE2gKouA2tImLlymK8FORKkk+FyUV+nSPEaniu0jPpHeF6gIUVG1UOHpxmeax0Jb0ZVefLEHLYXqi6+B+iKmoyvmlDiy06Z+co8iBUkyOMHfavUpxIqrb6keNme5Ug1qIKWQiA3hud7fPPAFH/69N/z6aOfZsdEoHiWqsF2M15Q9EPrBS2C47qV5TC/wwrndk6Mb5zrqpeDcs1FtdXvERl+Wiu3bkTcYxJcH8HHCf1HpcWjUC1AdhxJZXF8u6OcUWieiODjISgWVudiE/XjKdN2mfuyhyj5DhD0IHq63Cihfk3pONuXn1z9IkCsumBwXn/9RFMxi1oyZ6cdWi1yaGaZ49N5kkU4gntWayr+4YTTvh9U0NxSGSUVXvc9ZxdXlHcmb9cr7AFBifKFU6vedA3/jSyU+INH/ysH5g7Un9ljUw3PSs3zWSq1G7AI77uvTBWnmC5Otx7Tc6k4HgO1ufD8Qi9s02rRZDwH6cjCEY4uHKXcpnhF8/aztWO42ux10/qzObFcYSrWHuCeyc9w+/xDqGrimKrK/vmGgbXvbNMgy/ATQUgoUG1T3GMy5kmfDt/fusEbG0zaP7fE3zz7UmN6LMvB8RyeFzvXRGjhzFVf5ALgHmB3uM1bRQRV/cwlkcpguMS8Y+zj9e9Xe7GJKE9sok0597cN/trlFsdguBJwRCRFqJ+IyA5oLbx2JTNdDUfKrfY/06qKnn2a4y8f5+nrf4rfeWdrXlTNSV2QVZmvuBxYyLKlWOKtW6iPMLfTYyJdp2C7CYXsiye/iO3aIIKvYPluaGA1quG5pHiuOEUmZXFH11ZSYkFlsaXEd9oSfJR8l80Outlrz3JPzzX1kLtIwfL8sFR8qLC9eearOJt+GHjDBY9yV2oeH3v6LL+UL5NuyRmLPDBC25a6ElygJc/mdTKAEHiwEGkIbaU4mHsU1+3mTQM/29ZgytsOo4sldEg5XnqYLhqj4/HVx50C3zpwH/+r5wTr+C5LJD0NlcS1je5D476Juh2vlV9/DgLDbtEZwfVvIR3zDNXDOJtKuudth1zZodur8Ig1wltrO4Hrwv1prLJ869EHUtuAMjtqNoPzj+Bv9lh0BMGiXdPZA3MHGC2eZefCZvacXeSHXx+E28qZJ8GehXKrYZar5hjODvO2nW+rG4f9tXlmqrt45OzTHJnMt8h3YjpPqebx9t3t3zIf+MZwUIb+A2/+1/X5C8UqI5/9EN6P/9/YuPSQxov223T+9Zp7TfMVbRv6G8kefdb8CpP2ASDW0Hd5FNnceJazZSco7BKGIw9WA6NlqRr3JmogQrob3CoZexG4JrE84jNPfYhffd2768fMlR1QZWfpBGwhNPahq8lDDvCENcZE+SmaQxsfOzbNu6Ijxb1fvkvOzTJZPciNqR9suR4byVobDX8W+C/AOwkMrXuAuy+hXAaD4Ty5Pv9qy7+4IWkwvIb4a+DrwE4R+TPgOeAjGyvShdJQmCqxvJc903s4fOpBtpeGyVccyrVkWE7BdhhfcrimcJRNuVOte22jyGp5Gc49ixXmKHVXQgXrzBOwdK5V8fZcrlnYg+U7PHFiLmFg2XYuMHQ0ONaO8inSloRFLALlaTzvMV+sMZmzOT6fD+b2bm3xfigwQq4lwMtyy+yXRnJ8I6wyzPLwa9yQe6Xj+QZrrmx6RWFYs/lqyz4kcvB1Cj1TQJVnClPsH8uCKjU8Ml4Jqxp6QkQo1zxqfjkmeZInT8wylbUp1zwcv0JQZiL0kqiP6wQFFg5XFynaLrNuEQVS6pCJm36qCWOofp3CeYP2FPeOfxJyrTk4QKI/VsGbYbTyMl86GRvYi+fhxM4kV83xiedO85VXJ+rhiUdkIXa22m4XqCrHlvZh+wV8VYYnAq/JSOEUo5WXGansSeb7hbww9QKTbpOn9qWPN47SxsPyyMgjvDT9EvlaHj+UIxUWWijXPLq8MoLP5PyX6h7dJcfmLNk1tQOwHadudI4slnA85dGxr/OoNZI478ypbya26+x57ZTn1DrPo8nDXV5MbF93CNkN75zv1hgpNP5uDNTmGF0qUXZhrmCzqStxo5JylhZYmNhTn3z8xCyb7QluWXqWYtVlwOrCU6USeqQZeT4h3vX5fUjTNRViIYLx8OlUhkML+5mtnqDkLQZG4shza3NNX2LW6sG6G7hTr9RMMoPBYDAYQlT18yLyKvATBNr8L6jq8Q0W6zxJKjC5isPx6QJTmytkusGvVXh4cZwfJahg9xdPvMyv3LO1HspWc30gxc3Lz8My8O734LfJjYjjzwfNSVOVBTSl1KJKd7kgpMzxPSp+KZi3dA6mD7JzeT+u5zO25V76IqVIFcZfhkw/oPUk/EwKOPtUTPluKPuHSovcvnkTdPW15MqcsLdSk7GEErdUqjJSyzNuFdge+ukc3wk8AbEVXXw+dvBjvNMNC2cU52FgR8tlzrhFnFRvLOwQzubOkvKG6HYLdSUy4xappQcSG1ccZXSuSNX1WCrWguT7HT9Q98SValGRDp9ipOyG6tR8Kan87gurwqnvU1WPbknVFfOxpTC0KlZxb+fRT7Dv+RIDlsOkZ3O4luMXtwmEBkL8WirKoYkc+T6XvkyqbiBG92NbOcxtyU3Azpvq21XcChkrg4ZhWt1uASGoZjlTWIKuofoRPF8p1bx6YQ6Azx//PCeKHrf3/xRpDcb1HfET9lXdwKjMw5ILQ7dQcAqcyh1AvSJLpR5uXB4FBjlonwIJvCcvTr2YuH6u51OpecQL7asqUl5kdLFEqcsjXywyk7O5dnMjhy/K67LdCr31IMFwmVPhmtJxQFBRGH8Je+ddHGSBGavET/jX0o7ovqkqH3tqmJ9aKnD7tYPhPVHKpfH6upEHK71wClJvBeD0XIFs2g5dIa3qt68eRW+ewfS1sXlt1PQ2731kFO4oniRtZ4DBxDH83FToIQzory0xW7qGgzML4MH1u4N1B7rTcPzBFumip67sLeH6mZix6uJaPgtln5FaCWfAp2siLFYRv+b4KPHcxA7hvqqUwtDUrDvBmQP7eX25AFt3w+agqqTjOxdXTfUCWauBdQS4FmjNbO2AiHwS+BlgTlXfFM4bIiiQsRsYAX5VVZfDZpB/RdDQuAz8c1Xdt9ZjGQyGtfHRx1pHsuN0Kk9sMFxNiMhnVfWfASfazLs6SAzuK9WwZHK+4rK9y8Mde5m+aiM06VTpcZ4c38aB8Sy247N7ex80eS/iuRgay8OoE1V8EwtQKo6PqnJytsD2gW6e1QkOVPPc2X87/oEHqLo+/ZkUGa/Epp50YyS/EPTHoVaCVCbob+TBLdYszB7D9lpzRw5bC2TtEvTciCXJ4JqS30UttQmhMcJ+craI16TW7Z9YYmYqDzf0gQblyCu4eOqxxw5lsnMJA0sJwuLeNvUF5vtv48y2d1N2ytx/9H4AtjjdvHXqOBpG9fU5S/Q5S2y2J/FDY+zkbJHnpqfYl8+S9m2ypYfYcu0x/C1DwZWOylKrj1cPxwvmVZt034nlCl1emZ2zX+ATg+P8/MAtWOngemVj1eKie5ddXsKreeQAW4L1jtsLPFya4UZvKHGFvDCnLm879GXqEbTBdVSlqBX2yVluO/MoA7f9SHAL1eNTRz7FXTvu4o3heVyf38dMOjj3yWwFdgqKMpstM7FUYbTLwr8leW/KXpBTmGx11fDORs6xW8e/DP4WeOcHKc+fJFOcYFdxBCezNSy+sHIru8eOzXJgPMu9ofV40/KL+HM+Y4slijWXJafGq2emOT5/gt/98ZtJ9W4GGo15a24V13awXR83LKLSO3+Aal1SwKnwmRdGWAyLaftNz2F0bw7N76cnncKrVdhZOlkfaIg8Rj25s9gI58jSVx7CG0p2P1oo1pilAkO09chMVg8wXxvm9v730ZfaGruiDdJ+ldcvPgnT9ybmR+u9fulpth47ADf/h8QxfMtia3ejjLsf/k14UIe5m2u5PqymuK14ErxjLZ5gz1ccbE6UHsPL3MpNbK3P9yylEJqxnq/YUiONRY/EA22bz6RhYJWqLnMLRXZv66+HCQNMlU/xsE7we72762HNS/YSXzzxRd530/u4deutLdfwUrJWA2s7cExEXgbqvlVV/bkVtrkf+Bsgnqf1R8DjqvrnIvJH4fT/A/xj4Lbw373A34afBsNrjvXqnWUwvIZ5Y3wizMf6oQ2S5QKJD+83lLLA3vJRhX6So7K+ar13TbKHDeDa9NtjZLwSECpOs0c5evjzpO/6TX5g+50NVSXV6Mfj+oEHarnsMLm1CARespGFErOFKv3dKdKezc7BHubnTwZNihLKoNJlCRUgo9X6PgMdtN1ou99i+A32pKHWKBixUKwmFLro2+RyKezQpAkZPM/vGMb19Ml5rHDZUGWEM8BEsVEEYiJ3hpsJduercvv8wyjKKSs02LiVSqXCXQuf40hfDRWL03NF7tlexfFcxpfKdIXWg6Ve3Sis540hiPqoCGP2XvpT23lH7gxLblDOetQpQE+z7IoQeKjKsfoF0VUbqWVRwNUKqdh1cn2fesPYGEFjaGXSn8ERn1E3z/ZwWSHMlzkwf4A7tWGY9tYWIQ1W6GWYzVc5WFiq5wVNlueCnl9NhoHX9GxEn/Xw12jWsW/izB2iqzKPDfQ4yyirt7c7t1BM7GZX4TAcmWQmZ9cv0KI7zfL0n/D8F27mrl//CIM9Gbqs4JnP2RWmZvIsWjXSBN66xLUKdxzvY9apC4I1/hL+ph2IY7N7OXhevlU6y36WeC83U0v1oVQ4bC2wxekhNW2xe1tYJXSFvEeArx04h+0HXllXq8zVTlHyFlD9lWC78DoPlcPQ3umDOLFcp3j+lmjrgAeSSrxj1fQmJNznhBS4J6w0uC1/DNr05T46lce/Pnh2xnLT3GQFBtZktoK7zQ99eHB4KsuDcoZdgz38Qn/75ugAFT+Lg0cXKfaNLLE5X2Wov5vN2XF8VdJ+lZRfY6lcg17Q4jzDr/499u3/BAi80QWnwG1bbmMgM9DxOOvJWsu0/wnwC8D/C/xF7F9HVPUZYKlp9s8Dnw6/fzrcZzT/MxqwB9giIrvWKJvBYDAYDIjIh0SkALxZRPIiUgin54BvrrL5FUbchaUs+hUUJTX6LOUzQc5ClionpfEzGw8PaonoP/cMtyw8GiSaR8uHH+e7i8N86/RDwTpR761Upn78ZnV4sDrFzuIxFkuBZl91fNJ+FfV9/NwE5ZlhJssxDT6WnxHlKjmh8tjvJIsNaLj+qeVT2F6sF5b6SGg6+WHPpGQQV8B+7yizUmZ4tkjRrgXeKWDvuQUm8mGltMI0lIKy9YIwma2E5gp1BVIQPF+ZylbwEc6QZZpSXSmNH3e/zNJfnWHSm2SwOt1YKMJUrsR8oYpTN7BcjluNc1ZVPLfK6wr72VY+y0LtLKOVl5G6RAG2lyxUIdDivYszvlwJPHi6crtSid1jafJBnFw6yafzx5mI5TIVfLdeEMMPLf7Ie+O4fii30OVVOFsM8ri8ptoyienYAZ88MZecVVmi7DuJXJzV8uUWKguMVBrBT3OUQu9Y8r5V/MATekwW8Z78z/Dqp+iyuhhdKvO1l44njrO9dIpsUzn05YqbMODPOcm+bRGzuRKzU6NQzTNNcB33LS9SCXOIXNJEVp+NS8FuuDOFyMBKuLLrjBaPxdYVJuz9LDvjLFbmErJl/OAaUCtxKKzWGQ1StHrF4n8/fGShEVXtS7q+3MXH95VuN8+APRM8415zzlR7LBFqGvwlmKBA1fNxfWU8W+HvJo913H7M3s8LMpVY6KvC8PeQWp5ri0fYUT5VD8edPPsoj+WHeWHvfwNgrjzHi1Mv8kqs1PylZk0eLFV9WkRuAm5T1e+JSFPswZq5RlWnw31Oi8jOcP7rgPHYehPhvJaQRBF5P/B+gBtvXKF7uuG1w5Mdctff/aHLK4fBYNhQVPUjwEdE5COqenX/AUjYV8q3qyPsYhNdXoXFUo3t/RkWpMwcZa51K/S4edCtnfc3fwKHpLJacnwWyzWmJwKFc6lUpeJ4CNSLLpy2s0xTZEZK+L6S8UrsXn4WNxyf9Xwl7dcYnV3CqToslmssUON1GaCrD7xGQYGq71B1vYQccco1j/78JOWh3RwrfReIcmoUFcH3lWJzTF38WgHLYqN0k50dqSunW+xJap7PeLbCrsEe0nPH4eYfDfJuVHn90tOJHaUkxcRymamszQ0Zl6NWYJBt8zKkSCdCwsalwFtqiyyJDZpKCLOj53UM1B5nq4a5Pn7jWkRrDZz4BwB63WxsmSAIU7kKb9mp2F45tiQwLSviktcqgzTK+Oep1fesgOPbCQ+WqjYFKIZiofR2WVQa1iGPjz0OvsPzlSng9QB8af55MrLMPbqrvh9flZmcjaeKpcGz0+Pl63tadivkq4GBUnTneKTS6O/FxF7gDhQfJxxAiHDU4v6pU2Ri7jYFqnTOI/zyyS8zV12k2y3gpZQ91jRv8XfwQ+F7ERl3UZn3UckHSnpxjq5rb2UuX2WXM9rIk+vAEyfmYFPDB/ByeZZ7uZ6it4DjRdU8Gx5gRTgmi+zSAWZT17HZDTykQfsCQtka5/7WyS/gWZnYXgiMITsPPYOgGrYIaDU4Dxz7O+4d3wU33lUfZFGAWrHxJ6U+kBA1sG4cw0d5RM7RvXSapdPPxRfWvwrBu3j7/MPUPGV4vsiilHE3a92oCLzQcTMp+N7blcJWF0sEW9yEjefEz0e1xcrKSTU4GSuVOI/mwaSpXIWJwSEKVRfp6mGARo5dcxPzS8maDCwR+ZcERs0QwZv2OuDvCBKI14N2xm7boQpV/TjwcYC777575eEMw2uO+7KHGhMH7qt//cBdH9gAaQwGwwbx70XkN4GbVfXDInIDsEtVX77QHYrICFAAPMBV1UtcSTfpwRLgaMz7EQ9LeuPcg8z4p3nl3EAYSyh1xcUPt614DmekocQD7B0NpoUgT+jQRJYFv8b27cqx0nd5F/C5+dP1WJcd2p2QLPou6pH2q7ilVNOvuTK6bNf7RZXDCnKlDgpsXVFyq/Wj7Btb5jZvEyDUfMUJR/lzVJP78f2EZGm3jAadteiOecMczydtpcD38eaOsMW+mWx5Hwclx7t1d3A9RHDDfCVXG6PJT7rjbO65kzfaSSXtMeckVfERBhs5ISKoCr3uMn0EIUm+JqvXKTCVTXqnAJ7zDpGSRXwNwvqiYiN9zjJDlXMUM8HYdJ5awsAqSI3r8/vCa9lN2plDsbBdH9vx6HHKtN69UGeVxvw5r7WvV7nm4vkec0Q9yIL5S6UaBxZybK3anErlmZTAU3Nj37WQW2Jv4RxH54MH6FT5Sd7epO2J+hwpfrs+/VPhMxClm9Wa4u8esUaA61vkq5+Rwo7yKfyB4LpU8YLwTpSzEgwkpP3GNfdDSzFtpcO8IU14hTsRP41sxcHG5VTpcR4bzYI0vKEA6vuUxGFWS/jSyJts55FTlG6vCF7TOvlJvPIyY5lbubHP4brCSQpbAo9zevm7XOOMMDtwBwuz56AnqMSZKxTCfQCe0zDmNJrbMKgjvm2dAeCF2RfDLKmkdNHaZa/KhD/P60ljIXgK03mbG5wKrq94+G3Pb75iU+x1kDC8eTWvZET0XmWxKZSqbIZ63HSiIqIqo4tl9pYgW3OoOAPcGnuGvA4N3C8Fa83B+j3g7cBLAKp6OuZ9Oh9mRWRX6L3aRRC2AYHH6obYetcDUxewf4PBEONBa9j0xzK8FvnvBFnR7wE+DBTDefdc5H7fraoLF7mP82ZksURvi+emoTR0u8tgwabaLIPVKSY33VVf+pCcpY80S/kC81KOba00qnQp0zm7ruxkyzWgUWEtom2FMoLcoqnqEVK0lr+upDfT7yxSTQ3gheFeL1vJ4JTt2suCNPwnjudzfX4f+e5d5LuviwL4Emf9rNXIkypUXfpmj8QuTWQ4BMFvVizHpH4KTgktL3N9/imeCD1UxVgRECv0nGTLTpSxFiTkW15CAe/VNCoNv1CkCPoKB0cbIVnBl8Bq6Ncu0CD3KV9zWpI1KtToCw2embxNaXNg0A1VzgHUm9PWd9vGKPDDkvA9CPPF4L70ZUdQBil2X8t2XU6sf9vcYyyGWv1JZ5mMmzT8Do7n2FauMEgUGhh8pvwqm+0sPnCOubpS6YWWS7fVRWQt9Lh5tEnrjHJxGucSzk+39pZaizJeD0cNb7QtHr4qp2mcb1TRDqDoO+ygm1xYNr9qpbhBB1Y0svorY9xaW2Q+diwvNFhmyjPA9rp3CCBbDq7/Ppkloer6fucL0DxZyZKrOHjFMcpVYat2Uw49ooXqsXo2ZjUyIIa/R/fCMAXC62algyqXYdJe3m6BQgAAIABJREFUqWeWfgnzvQRefOwfqGUaHnB1HTx8RIO0ypj9jQD7iyc5wjTb2MEQvQ1JJ16h4njst+ZYrDTKr0f+rxo++YqDFQ5bNBcIiej2ipStofr0jtJJAJ6xJnhb+D7PuxW+mD2Bl4n/WQ/2d9Yfoxew1GHp6ONsve0d0DOwZoNuPVirgVVV1VrkYhOJBWOeHw8CvwX8efj5zdj83xeRLxIUt8hFoYQGQzP3xTxTAIReq/FsMt58ItbB/cUzH04su9qbCxsMhhW5V1XfJiL7AcJqtRfSc3cDCVQBz/OZy1XY1ZTjELd1IiVlsBqMSwYGRajoi1LEYbqY/PuovlINlcBri0fpPvd4fZk7fxpr01taJGqXgxTMcJhyTnGNNPpQBaZN/Gws3LA4RzOpqCJexaGnK8XBsSWuAQar05S6trPZnoBM55TxmueHPXwaVdi03txH6x40iBmJqk1GZjwnSYOeXYn9BEZTlwg9MdWpIi49MUMV9dnUl+bM5BmqTk/MvwRW6MGLdOrFUm3V7tfptDBdPYPV5rqVcChRQxBOSdJgWijVqEmBW2Nho9rVi6KUrU3MFmaQnvAZQRmsjDPoTZOLTjeqBBlDUBzxmdUSu/IHsDZfwyZ7CthKjobXEcANjenBVA9QYrC2wKA9CoPNhnurRZGt1PB3JL1Unq6idKqGXsNgMsoRHJEcvkJVGkZ2PK+r6DkseTYj+RFS6tBvj+OL4lkZUn6Ndjzt7eVeZ1e98IwfyiYoflikJX4MN3xvHPETz5OqBs2rfZ+81ECDdywoUB4NKMTCJl2fbj+PJVvopSsoTtFSsCR8hivZuhc2aL7tMpuvUqp5ZLr7mLAPsLP/enyU0+4yOrOHDFI39qUwjY+SwmKwN8WS1xg8EISRwiKgtHuCo3tQ8XKty6K/Ddo+jzJiqHKOTdVZqul+ct2vSxjFVmiwj3g5ELDLjV54UXGQSNa0X6WiPrnlM7DrLS1NzC8lazWwnhaRfwf0ish7gQ8A31ppAxF5AHgXsF1EJoD/RGBYfVlEfgcYA/5puPpDBCXahwnKtP+L8zwPg6EFU43PYHjN4oSVAxVARHbAqrrsaijwqIgo8LEwXD3BuuYIKxRsl+WqA/3thYloLROtjSp10kVKHfJlt66MLZWqOHaJsVgdquMjj3KchkLZX1tAm7xYpdCLpijV1EAQygRMkkVoKPKiQejYlsGeekVAAfbkn+f6VKvSuoluZsPQs8VilWv8RnJ9YDRupcfJdc6cD0nXDRjFS/dzSiYpiYNr9dTDwpYrTtC7Bw0byJbqSmXD0wSpeu5Pso+U5Xt0axAKeZ0OMCXFRg8nr8yO8mm+0ZMml3XrxlWkJPc6wfVOYQEep+aKtFMx4yUuahKUyk/7rWGVJ60lTrLEu/32z1peaonwKb93G0qOmpW8r4oiTdc2X6qQqnn0Z1KxMvPB50vWNHf719YNkAI1xiSfKJk9WZ4DehrGvz0aHqvBTN6G/uT5267P8ekCXf5Iy/m0658WLNAgn2vTtbR7WSaWm0MjY8fzXUq+Q67ssK18ln43hd/k9WzHS9Y0GW0Y5+OSR3QId3GY1+UmmYk14o2kHdAulkgaWAL0dacZtpe5U7cxXi3ybetM/dl6ox/Uc3Q8vx4uWay69IUypjXpaYyu0dmFEtnwmYn+8KWikLqwDcKB4jfYKsssVovcyFauZ1Pd+LeLWXrpTjamruduQaXqk1IHJzR24lc3Zyef1apfwpfGeqoNA6uTBwugyy/TVStT7mp4slIaVt1EOeIu0tuVIpUdaVzryMBqGslRVaSyTG3NZs/Fs9Yj/RHwO8Bh4F8RGET/Y6UNVPXXOyxqydsKGxj/3hplMRgMBoNhJf4a+DqwU0T+DPgV4I8vcp8/oqpTYXj8YyJyIqyWW2c9c4SDktEOFrCreLhluR/LKyiSNFrSvk1U0jpSeuOFJU7OFBkZ+3NSXqGu/X0nO4ZrddeVAks9RknmGjkxD1ZkXC1Q4ZDMQNh4NjimR9nx8Ms1iJkZAHuqrZ6R23QLI+RwpdUGznhlYCupNqP1cQKZgpyTm1yfec+mJE79ejSfR7pWJldxmKIY24cmPuNyR4z7U2QlaLa8WbuZksb20sGGj/aQcQMvU2Betdt7Ky6B189aYXzAXWFZ4kx8xUn0GGvcT0skse5Utky/UyNXgcJsdI7JIimBoi48aY3xet2SdKtWlqF7Vz0stLFhzCPja6AIx+7rszLODvp4y2Lnno0t18x3gry95VHgzpb1S1W343XOOw7X0BO8a+qi4ZVuW7q8iVrseT0rOUR9/OVRtlT6oeuaxHk2ZBdqVh8ndYkeZwlLhMGeHrpSFn5B2b8chPtGz1VZnJbonFLNQ0jT4y6zs3ousawnk2LZsznrN7xHzZUcid2TOUrgKy4+Lj5h3RdyFZduMuFggNDjFqilAg+xhP8pKz97caa8Ue4AFiiHV8Fnq3bX37Vszw301xYpdw2xuTqR2HZ7+Uz9uxV6BwvU2t5Tz3PDfSY9WcWqx6aZI5DqhrvevyaZL5a1VhH0gb8P/xkMBoPBcMWiqp8XkVcJBvQE+AVVPb7KZqvtcyr8nBORrxPkJT+z8lYXTpTD0ol8LCfrBSuZsry9PEzZL6A9d9TnlZsKS3y7MkJWWnOmIjJemYq0LxZcxUWADClesIJy3AO1+fryocoIkDQCU1qjN3sa+lsjNQVhJ31MUcSSZFJKV2gcpbGopLfgpPrqoZBx4mWiLYSeyjwlwJdUizdiJm+zuSeHAkesRkqdD0HoYFPSfEQ08h4p1lFoY3NeR7PiFy0/HWY+OPgUw2Id8UId1xUOUMhcS9zimPZKaEppG1sZUqO9MZBWKyGbqs8JawEIlP9GEGU7wzLA08DjCRL2UGuc45bKON1+YAhkNJXwYFEtQPeuVa9N2q+GFfOUPmeZZamyTJWb2zQU7lia3mu8C73Ocsvimqfhc9VKVT1qvs/kcoVr28h3PvS4OSrqMUgyDDEi8v/MDdzBkeJRMj5gBT7eLkt4RsaDUMEYHhoMfPjJd7WGh9rDifQ9wccSeKCQNE67Sbe2bQC2VkZZlipU4EbgZZlGEByrh7RXxcMnFfqgu708O8qNAReL4H2p93VLnGMrimLjcthaoJ/oWWkMSbhWD7MDd9DX1LqhGUGwNDDrXM+n1tTUTdSnhh9ruRB8up4PKfipvstXfXytVQTP0S7sWrVzVzCDwXDFsq9N4QuA+w5sMxUXDd8vzALPEvzO9YrI21R13yrbtEVE+gFLVQvh9/cBf7p+oibx1V81HG41+uxZij23Ef10O03eISfjslI16m4vnwj7i/OUNc612s/btVGqOu219lyKK3Vpv4pDewVMIJZz0rIXIFDoFvteT490QxsDa7bQUEAjb51itYQKRVTb2CQajqxr2HMLGsZiJEnciKjLvIpWHl35eQpYCfmC8DqAbf0ZFks1NlcnKWSuabufzvtvL4DftEQ1OEOVWM4YQeGBuP3RCARLksypU3pi1Rm1KaMmytn3PZfX5ffF1kuyo3yKQuYafEmzuTpZn++2MVAWJHjGBnvSzIS3++x8gWt7vCD7ToRtlbMt2+Wpdiy9XsNjdKnEkD8Xen67LtjI2mqPsQBcC2yrNDxLjtVLl19JeJKsMEQuuqbplEVeWt8hD5+a1Z8wsLr8CrNt/j6kPbut7ItS4dnFGU7aWRAh5dlsrYwmWgMIwoJUSIvgWj14XoVZKSMKQ03pqwKkBFzAEw1SD9sc+fr8Pmb778BJ9SKAHQ4EVF0fRwEaAwArXfN4DqWHj+cH+X452yVnu+wYaGQ6Cj41vMZ7GitVn7cdnJam3ZeOtYYIxsvR9hDkTg11WNdgMBgMhg1DRD4M/HPgDMnB1fdc4C6vAb4eKo1p4Auq+vBFitkRX/2OhsH50GdPJL0KMaRp5NexejuGuLVjRkrMacOj0c4edP3WY6tCJb2lRblrGCut27gxQ0Gkh1pqgIxXbFkvwgvXV7ESylmcmtfOlAtC1jTQGEPZmq/J+d+XSIms54fElnSH1dQyqYYvwrMyDPV1sVR26sZbPMm/mVlpLasO4EujqMcO7UOL0wQmYnCsvlrgLThuLfJWdjQ8YRrk7kVkvDJ+I6WRfu1qvSpNpckLtgOboLLc9AwqdGsqUXRiU22WZood7htAf3eaG/v7mFjM0zXxKoXeTfR1d1ydp6zxjsuWqjUyqRR9fpAfN0+FnfSRz+xisLZyrTVLku0S4iRKwUsXUMFD6+XtrbCfV2TYdhpPsfFwUn3grl46/prScci09zq/UphnSez6ve93FtjS00W54lOL3QvXVzRl0U8XRZzgvrbZX8YNypq4+IySr4c0Jl9f5ZrSMRZ7b0G7tuOGz5cbPjzLUmWsHoaczHnc1J0mZUlLk2dPlJdqT/HjXMt8323sKJ+m+Z30woGSYG/Bp+c6lGyXx8u38Zttr9D6s9YQwWaf3V+KyHPAf1x/kQwGw0bx4plFqvOdY98/+N43XEZpDIYL5leB16tq+zJg54mqngVay+pdInz1saudw/fWymBlBL+T5tZkyPiSXlGJb0eelS+v5/tIU/m7dt6ReEvSdvrqsCzjZwJv2VDXbib7cysWMbIQbMdDY0ZCMyKtVQmVoKyzaoqu4iQpHWjdro2ETrOW3WFyk6YpSo2bdQvHZbHu8+ntalaKle50CnCoOB6kGyXa2zEmnZunRiFct+hmzrAYerCCq53xG4aZSMPDEJxnw4TaWTqR2KcVlFFpkjg4m95MhkqtRq5SY391nhPOUtN6sJstnGTlULC9JI0bFSsRdicCXWG/rrRbhu4MF+L2zVJli9tdL3Rii8ukFihlbqLXzdLlt3qVIrrTKdKWUGjX/DopPRDlK4Uyars3oZVFqSQqD14oXv3N84lONmVJPcw17utUhAEyHb1+SuhlJwhxPWM1BkuqbqtrOOOV8LuUElGRnEYYcNSbrPkcrZhht1m7gybD0bLQ+K57YlveN20dGHGC+1iwNgcFL9bhmq5G57qnMUTkbbF/d4vIv4Ywg9ZgMBgMhiuLI8SrLlxlLJUqzOc6e2jWSifjqs9ZbDETLPVaikGMUVhx/2tRUZqLBahqXZlyre4w/4YVPVjLsf5aQ103JZSjUte2lvUhCMvTNkZUXI6WeShvnvkqvPIpeopjbC2PdNx+JZymkvqR8tqFxQ7tjeVuBcfc0tuVCNHrdkv16ZrnJ4y6fPd1a5LhDj+4Lp5EI/lRCfO4OdtAaHja5opV+tzWXKY4zQaWD2RSQncmMGpT6vJUYbJe2r+xoVIauGtV+Zs9ZKWu7QlZRYIwu2g6+WXtlHFaCjV4EoWVJZ+fOzPJwK34lextbvBV31cX9WIicfnqrqvGzP4O3qfzopNHrZ26L43V4/ltKlZ9+g5/W0uFSR+tm+IzUkosy1VajbLo+a2ERWdUJPFMb9UV3I80ch3jYgzLcv3+ND8r+2W2ZQDJDg2/W3ZtvyzGFaw9RPAvYt9dYIRghNBguCx89LGGV2VfPjnydX2+8wiTwWB4TfIRYL+IHIGGdq6qP7dxIq2dHQMD/IjewB5a80nWg6HKCMS8JnZqMJFPU58vq43Mr66otNtvtF1U4CAKEUxb0raZcZEas1YF6G1Zph0Kcawmn2fnW5aWcdnuldGw/Hb7kMnVQwQrbnK7XPe1YMNgb5pKxU8c9wev38xcOY8XO+9edxlLWs8VCEP1OrO1t4vlitPimbAQFss12m09qJkWpbNTDygIKwi2mRsVLlAEUY+5olc/V0sDg//2riFG3YtrSSf4pETqeUk3WpsoEhTiOF9K4rBf5lrmq0jCqzLU18V1/T0ca9RyiZXyh17SVGh9X1QsUolwx8i4toLnK15Q5bylXzudq/0Fx8+KHZtjkSWYdsWnKwxffWNqiNNuNgyhbf8etHhzo2OoHzPiGh4sgXqlwmaiyx/1nRsK8xQBpqRc38ZvOmZRHKSDeXPdllav9KVirSGC777UghgMBoPBsE58GvjPBK1FLl9W8zqRslLslMzFlTRbhSg/qtw11FLxrDkcqxNrVQjTltSPp5o8rZRfY6A7jdT+//beO06Sqz70/f4qde6enGdnZ2dz1gbtKq0EEkICBQQCCRkjgkUyjs8Xw+V9/Ljvvvfs+2xfP/vZujY2vjY2OGJs2b4GZD9swJcgkIQSymE12pzD5O7z/qhT1VUdJuzOTM+szvfz6ZnuCqd+daq6+vzOLwlp167pbjUqUxxIBAk3BIkcecRtJjsRHyBP524YbjN2it2lLh6yymnjH7WO8ChH2DBWQFFORR/FDutRxQsOAzSrJCdlrGqfkh4pWiLa6uF//pYM0zIyt7o8aoZer4zpKUUGsrXIK48MvgVttrdbYHmrXAaCZQV2nXjyAg+HMabwsKa1LM6KqXHspArTeUddG20Bt2QzJhdbUDZu6RN8n7WuXIKj58YpKt+NLTi/EzWuO1CV/W9S1yDz79ujtXYBiGUOnEs8psKv9QZwOtEX9lGg3IzZeZK6NIFQfji+Fik3ULTcMCnOcUbJiNDXlGKT1cyB4+dRgFM8N+sHgCjFa1MvUbDHcRCmSuXveGvGwz4n4X2dkcA5rvw9z+KG8pYbtUIFuNakTL14UstZYnWwROTnp1uvlPqv8yOOwWAwGAwXzTGl1G81WoiLwVKlqmQQ4A/wDp29+Pis8WK5IKdb4Ro4JQlcFfcMCDKh9RaSvHa6ejDplqoTLVjaCpL2bM6MlYsUV47MNvfkOTxyhqNnz9Uc5E9ZyXAfW5zY/qUacVZeaKfxU05Xnl9ATbcp4Ow01ptg4JYnSaefuy5y3NrtBXacSqXkvEzSUmcYJviJLyaKJbLj5SQQgXJii9BdSDIcqZF0ILeNluKP9P7+MV/Gj3EJXDCnLN8d67zbRmrqFKKkxhWpz4SVJl2cqBq+FvUQOe05nNDpwqOGhdAtUlW73s1ESeyYYmmNHCNz9gjnxMFSUzhByoiSr0Y0k+Qg5xm3c2FttFokVW1FzFbiZ9uz7XLBMq1MubaFJaItjnFXt0pGnWZS2tVyzM5zPDNE0nUYnSxxKtmPN3WeVLRUQqCIK2HEbSE/flAfurayIAquVwP8s/VKuGyyWGJyUjFhZxhz8hR080EGw5LlxDTpWhkoS1K+J10sArU+n3Lozqc4cW4CSv7x1SxuHF9+xQnGYveZZwmeY4XXNuFYZEq5sh1QbxwU9o5SFDe8j0Yn/XNLubYfswh1LWyuc3HW07kw27t8F/BRoFe/PoJfzS2HicUyGAwGw9LiByLyyyJyRTSGuNFCzZpSCQvFpJ3iWHpNbJWIkE/Unxu9ttQ/p0MJparYq3wNN59gYB4d6RzNrKnarhZnx8oz1iUFOSs+bBARnp08WRXrUQtL4udeaQ0RBautoNaNTKs4WBVrm5VvXRg+NcpUjSyDUU4zXtV6oo6yNMIEhzlPMCRvy9aqBVbNhFaCs5NHq7ZMOL703fkkTamyklkslbAjCQKCOLzg84iOWYtaKaerg1XJZMsaRmSqatvQUiaCa0lVdr1AwTozOknBqh03V49Rpzqc0nPKGSLt6Cg/YiE9mlnLoeymmm0mbItUnetVFIVSQleh7KYpwKQqQiJHruh/F/z7tfrKBcdvlUK4zFETWJbNuq48zRkXEO0eq8n3hO89bIrikdPf86g1eUepk6wKLDpSdQ8GrqYlbD/WSQtTrlclMd2jVEN5CxQeP9FEuf1xVaLkljhi+YWboxMUTsRdsk3F3VtTk+VJouOFTWHcpX8O2kVQhOaMhxVpM2ix1kTIpJUMv/vB9yQdiWGrp/g61jzEuc2S2drK2oAdSqmzACLyGeCvlFI/sVCCGV5fRGOsoH6dJsPcmS7b1nB+5yJKYjAsGpfp/3sjyxQXnqZ9cVFF7bJl1RwmJBwrEllWZm+pR88416dXZXnRKbu/nUl0kZw6HdtmJU38iEO1do8pQU9xhFYg49pkkg5CvB5VeDqR96WSwsKuOSdv1dAyLPGD/zd25ymN9UExHvtSaQ3ZpbpIaZciBZxKrqBpbLimIhlmKUs6nB6big1VxyLZ0DLKZZ/q55+sF6t3jlDPgjVheXzXepG8csiQwKrhIjdd4H2PypbTYEePkWnDOX8s5shWUrC2uYAcq2wv/jmIAfLtE3B+vG4Z35rtnJOK9NnhFS0fJ6mcMI6vKeVyZmyCs2NF7IzDCpWfNvthFLs0yUiiJUznLkJYODipbLZbHfw7fir2naqLV3Tq74SVYaqONbIt6zFWWgEVRXnzCccv4i1+baooE6oExUmGVBMn5FBd5T3pWlCEfePCV3QTTmmMywf9JBkDLRlOnj9V7qtMO7hRpUQhAoWky+hkkWSd+6rm8fVF9GMT/djGIipWgytKrUQ4getdezbBoJNh2B/6M5pp4Xz7CjjzLc7LBEnlhDXdPNtiqlRkY6mVVTTxD/JCRE4/UYsTuI8GGp7gWwp13F4h5dJrpXj2XOxUYhMhRfGw1QQlcariEStPZcLK4JXOk3FtzmvLVuU1XUhme6QVEMvHOgGsnHdpDAbDotJ35gdVr737P9tosQyGi0Ip9YYar+WhXAGUpnznI4nHgYBWcOoMxmc/dLCYsDIM53cyYWerCttaSugJU5T7x0p5NoWkQ6+T8V12ottbQsK2sC2hXcXd5gBa0uUZ63MTU6SK1S57e5JdNe1NrmXRkUtSSLts7taFjbWbWUo5NVNYe0U/s5lXGmHcyXE4u6Fm7JIVU03icTRRC4xAleK6Xbqq2rNrzrSnCfrQEmGUqdhsf/QY9Yiui51vxbkrYEeujffm11e1V45L0656oZLnz/WXRZKq+yHqMhYcc5K4a90kJawpCyLKjx2RopQbDOVQMTvFzAglxp08w/kdYTbBjOXS35Siz8mSjMiXxwuta7Z4Ne8P1xIsy2YsVX0NM9pqpJDYYFyAQTcPxQnyRCyQtSYFrGDVbIOUqrcbas8gyTxFJ82ZZD/n3TbG7Hz8XrCq7+rgto26VVoKJqRawarc17OElGvTkvGtop5tcUOubBHfsO19YNmhdciJtNCS8Ug5FgPkw+9VOl1OKJFLOhTSfjKVW1ivrY5+D1kIRfEARTJi3QpOJvq9mrQDRbTWszH+OVDAoosdN1nVDwvFbO/xPwG+JyKfEZH/Dfgu8PmFE8tgMBgMhgtHRN4qIp8QkV8KXo2WadZYDoda9zBhxzNezRi7Iu6Mg7ow9UBks9PJvngz2r7hb+n/7ymkyCdd0pZLq87mFx28OmJhi3BNprvqmPflym5aAhQmq5NHrHBzNfXGhFs+Z9f2B0wlFKWu7XjZq6r6RBDaswk2l9qgYk0l0b7yasxsr1O+xaFk55mw44pjR6k6OsKqEZASjU3LJhyaMm5NF0GAVq2IulrbOaWvS1TO+PkG18ivFQSCa1lV+9QiaMdXeIIqVnAwtyV0I/SUzankCj349RlMb+as11kuSqwZp+gn/ahjBhvXF/e4jM4oX5VbrG60zVsdnnOf4383qpTaiItgb1OKymFu2rXpyiehb1eVxdSzJaZoxlaLsMVr5b78JlK44XezKg19ZM+K4X+0KS1q5BiqnF3ynNdOKd0O3ds4WdiMslKcTA34bp1IaD0MrnWUccu/T0vigAgD5MOjeHpiJJQ48oWzBTrySdoyHu9af2Xonpi2yspr2gvuea3AVrjz5TwPV8c/Zlwb1TQQru8pJP37WoQDuW2x/TzLT3yiFHRVKPcALSTDSZ3yBEHVZlXPD7+/yorXiNuCncxX77hAzErBUkr9n8D7gZPAKeD9Sqn/ayEFMxgMBoPhQhCR3wXuAn4K/zf8ncDAtDstJWyXk+27mLAz4ahhQOU5pmOegnHEdaV+BlR5wDBh52oOWzeWKmNe6qc1aMt4oYKV691YXqE3H3BynI8VIBWunioraJkaWbqiA42igky6mR2lzkhcFySTzUx2bI0pKa4l5JNueGxbz0gXS0WcZJrTmdX6bMpHOJJdj2NLVXzV2URHlVxlq05tPJ2u3bVzPNz7ntg6p0bCc7tOn05ZHt35pD8ITTmhhaeSQI4gLXaQwKOuBSuQxRJWqUJsw7WdWZKO307OdqskK0lcEWvO+BYEvxCxv26X6tKKV3nvjFNg1G0OM/cFg+Vxpsg7bujeCuW4n6xkOaHdM4/KKJYqcljHRkmNzi9WxNkFWfT6EpehxD/NrOX3jYPEapoJ5XiwjnyqdpHewWvAScQccM8kehAkHIxv7hiCZCGmhIkIrlhkXDu0jlQXiYZnidcQyycdOnJlJTWwYFoUtcBTsaQMx9ODiI4ViutQtdXSlFPe6Fyig7NeJ2cSXWTtdt7avCJcZxOktq/u9I6cf392ORmak/7Ewkq3QhmxbFbkV4SyVsZGRe//rlQay7bDeKsgUYcAh7MbYxJkvPL1DlKuR7Naeti8WQ2SjiW0mdkKrMTylWlNUdxwkmYxmIuVNg2cUUr9JjAsIoMLJJPhdcL9j94fvh4+8xexl8FgMFwEVyql3gucVEr9J+AKYG7ZHxpMQg+agkHGJtXG+sRV4fp9pT7yJEhGCpxGnWYmrXRsOfiz9yV/CO1nW0tXZ+Bz9ADEAhzXi0wLC+/Lb2Sd10w2Wc7Sdyi7McxEF7Cn1M3WUnv4eXLlG2LHGJ906CPHyWR58Jcr9POOTR9mquNeJq1U2AcS6YRogLpSINgUnO7Y1PWJ1KpQQYlS8nqrls3O2ue7WFXv6x/jqlK53Se73h66060rlYvSFi0vHFRPKVWl/FUesVInEISdpU69RbUFK+XaVUPmjOvg2haHspu5K12djCSqvJVQdGzYR1s24VsStIKVdXXGxohAgh/bMypT2MoKz3dMirQmE6BKjGh3wBKKvPLYywrSrb3hdR11C0xpC9QAeVorkiJUdoCViFoPK9ZFtg1SxQcugmmEWYrcAAAgAElEQVTPQSGMOs0UW6r7IGpJLCuc0FtIsm/VIOS6w/bDo6x9M8XeXTQnNiDi36PtWS9UZsG35kXJJhwSkXvSsS36mlMkp0777Y6cAKucKU/p89rXt4/VHVlac2W3xcp7ds/KVtqyOumGAoXN6WQfSmyG2gt0N6XCwsmjMoWlimHJhHg/Ep5n6FpYeZ+KxQ0rbiDoaafyWkQ+vzHRjyuKc26HbjeIu5Iq65ONYIlNa7KdqPKXcn2348DCfnd6LTfYu8K+qKTSabClqRnHKvfYqNuy9BQs7Rb4i8Cn9CIX+NOFEspgMDSOB6znOTL8iZovvv7LjRbPYJgNQTDNiIj0AJPAspoUTFTMjFsIpUQvpNug9zKa8Gdm2yODxPIQkZhLWybpcENpgA+1aouUnoHORLIRHsxt1Y3YiNLOSyJkVJAxTUJ3IcsNBnx+CvVKhaCTDCspZ1CTClemVBDDUpHsoZDMAcLRzFqOptdUx1So8sA1n3KxxGZV6prYYEuJYFvVqpPUGO6Uo5CmJ7qnJX7mvhY9qG0lRb/KhccIlJPg/G2JZzqcooQbZD+zMrHjKKWL/gKIFVMUe4OEzUF8kxVXfJpJohBWuwW9mVborASneq9jc0/5ehRSLuv7WunKJcrubKvfAKuu14lVrPBcoaJumeWEnwvi34NHMus4lewnoRwoTjKR6uBYeg0lFE0kaUulsC2bI9n1HMls4Fyii+NSoiQOZ5mkoyJuTyGc9bo4ml7L0cw6Wgc2kfZsv3/1MDqQoVaGuSDaKGH7yuDx9CpyLdWuZ535JG8sBUp+uR1LBM/x4ope8DZZ4EjHNXTaA+HCpGOHCnRJHM4W1nEyOcBwPpK4NNVMlKT+fnuOBZk2SBYQ4HhqFSBYFhS8AqubV/LhXbeHMkTv1cutrtjnHPGYs6ZMskohG7ezlJTvLhhdI6EiKXRm/L7alChbvgt2AsTGFptSye/hSvfMEVW2bNsCtqhQHudktGi6r8YF9BbSvHfDB/nwjh+LWRUtETrX7+NHHW+J7Bo/5loV6VeR8JLtKnXRkolnn5ywUzFr2UIz2yPdgZ+V6WEApdQBETHp2Q2LxnSZ8AyLx7dfPM53pp6tu/7n3rR2EaUxGOry9yLSBPwq/u+WAn6/sSLNjYQTH/77g26XUtt6PEuAY4CfOjlgys5iTfkJHsacPKmpU7SnLfpzaXYm2xmbLGknMH8Qm/JstvYVeGz4NC3OCuCxsC1Lz5bbYleGbHFlcoC/OPd4TLbAalArDsmy40ONrPKA8bjVRYL4IUVJHCbtNHmtyLU4aU4AkyVfwWrJeBRSLudOKESEy1nJ93kegMnSKCfW30PLw79VVrMBrLi1bl2pJRx8luwETMbrfo06TWFqr+ggtTOXxLEkdp6BS5olFme8bprHXqEl5dLhJnBti46BVtjvbzupSmFSBkHBiitg/7fDtq5V/TxrHWPEKrGiNc3Jc7BfzrBd+ZaAQPkppOLnk8NjR+4uBty/0W2XGWndSsfo97D1wsG2DEmZBNuiBBzIbcSxbSytQMfdB+PupJaO7YFyOu4JO4tXHKG5mGSY01gijDtZSjpLoX9t/bpFgeK/dgU89PI2rDM/oEOlcS1hMrSsCKeTvmWw1R0klzrDtv4E40d95ardSVFUwSA/bj21EApph5QrJN3ofVdDjVYlslrZL4kVm3DwrHicXLi3roHlWqlwMO8mcjByHPAVpMGWDg5NnGVSIjGUratj7bVlPcYznj+R0r4eRDjbuYfRk2M42lZlWza3Dt3KxFQJkcBxt3weLRWWv/WqlcNWIbztc15cgQeYspMcd1axfeQo45HcddHeyXp5PtYUTLg4vCe/nqTYYNnYqNAl08HyJ1j0xEdsPkTAtsrKeqjAiVBpfUrYFns2+EpdW9rf3rEEV2z29lzNv8WSTUrsf7fK4imbJyz/eWiJUFKKJDa39NzMo+deodMWvs9RfMV1pumU+WO2LoITyu9RBSAi1VfNYDAYDIYGIyIW8C9KqVNKqS/hx16tV0otnyQXlGe4ATqyiTA+RPAHKU913MJ5r421lj+DezrRy8st+0C7RI26zRTFJe3aqN7LQueiMMmFJlOjppag4ylEwhpDUWtSb6KZ60r9kWj9yCC3ljtdxC3nVLIfZef0pnYYTA/B7LPfQMKxsUS4NTNIj+tvP6nr3SR14ou07c9Qt1IeyKaS6yhmurBsh3G7HEMiEauMYwlDNDGc3x6KXGmFG3Fbw6FcdKBUThFfPtGyWmBx3mtjOL+TpGOTcCz/eBFLVLF3J4n1t9CZS9DdlATbYWfSV55c22LKStObzIDYVbFaa1QzJfGtJeJ4VCkNIv5AfvM7kG13c755g79YD1ajm2G7+tyECSuFa5dd64J2s+JWZbL0LVj+ZzcyR3/ea2NLs38vWpY/iC5JWTm9e/2dAKxN+8k8K9NliwiDqsC16Z7YADxlx60QO5zt3JpeyYTOBudg+RegazMq2xmK71oSu2eD9wooJApUsq23QCZSR8mz6xSkFYumlIdjJbCD9iNWlda2dgra9TawXCo3DRXZ60SEpKutSIHyYQVuwQpLCNP5+/WoLEpStjqdd9uxg95tW82EnaWJREzdvKxjNwDZfEvowrjV3cF6bwdbVHt4WTeVWlntRfpZxHdZHHoDXPsfyFsentgggiVlpclGOJXsZ8Qtu8MG2AiOBZO2f95RJ9PgU0mpcNuAvpxDdz5JyrW5r7CJDZ07YntWKmcCtJEK4zl7bF89SePi2EnuyA7Rr583LZnFKzIMs1ew/lJEfg9oEpH7gH/mImYDReRlEXlcRB4Vke/rZS0i8qCIPKf/N8/UjsFgWHz27v9s3ZfB0GiUUiXg1yOfx5VSp6fZZUkSZLXrKqR4U65fxxKUf7LPJHt4sfka0nqQO+K2ULIzPNJ7L8fTgySsTDjAK2n3JBF0GvWg5G2ZTjceoxLYxVzt9pMpld3zggD8MKNXZFDXVUiSdK2I4hSL3+ec18H+lmt5vvU6Ju0UTS1B8glFIeUy0OZbONJJf/9+NxcOQFe0pNi7qpW+Zr2NrQd2kROxxcV1hEND7+Jopmw1sLSCkXa1U5lYHMpt4kyim4lUV0xGqEwmEU+iANDfFInfQTHitMSuT3GqosF8j1/ryE2SzHTi2RYpx29twPEHgAnHYs91N3N9oQ/ErnKR3KBaUQgn0oPQvS123ms6srz78hWw9Z3QvpYJN8WUl9cy+3LlVTmpSFeul24nw0AhTSrlKyMl5VtK1qbfwK2lIRJis8XbxRVWJNlJxBLoYdOZWK97yMK1LN6dW8vK3Lry5oGlIdfKjvxdZJ12NnTnuXXoVgCm7Fx4nWwsrip0xVwqm5146OSGc8+TshzOjftf6bQ4vDDwLk6rLCfEt0pe4fSwws2R96JJGnw53mmt4ereq/WyyDWqUIB6s/GYvbIFy+KKoVbeuHUVOzPtXJnqhkJvbDup3qs2+Z4qlzdLbBQlLBGcwCVXRLuf+iqVBRStiHOklyOTTvtWL21Nyjnt5JJ52PUBmge3h8rFeH4PzU4XTiRiKmU5tNsRa5gIXPsJWBEtI1hNoBjVUrAsEd9FsCIZTFBmQkEYCxatC6ea+stlDHp31C0+vqoj7kR3KLsZLJuNXgu3lVaTxPFrgV35cYqJpvKxF5HZZhH8NeCvgS8B64BfUkr9vxd57DcopbYrpXbpz5/En3VcA/yL/mwwGAwGw1z5moi8Q6ar3rrEWakVjVzCZoUbxPhUWywCRchPSWxRslPsyN/Nxsxbw5nmUmlKby6sokAX+SpDk2v7SpjK+ArPi5wCEY4GabXHzobb2jold5DgQF1+X7gu4zhc1t/Mhu58ObZGlTic3egPggBlZzmW0e7EzTq5Y64bEWH3yha29BYYai8PoNodv52WVDNXDLXGCg3rjoi882OXLMuOLe/0fGtOU9rlbGYlT7e9Fc9u4kyih0I6gSKeGCQW56PiSQvuzK4m61ls6Mox6vqDt3M6scNAajcDqT0UKzu4dQj6/OFOwg36JThUeSiWcHSWQat2Kgwllj+gdZLh+Xli05ZN0FUoKwkjUyPh/WJFrDfgDzT39e3jjuwQHakUa3v9vi6pEi3OSrJOB0pcLBHyVguZSKyYY6fC42ZIkLXL6fAtoNnN0OyVB9yhQ1fkq7i+K0dr0o/vOZJdz4nUYI0z9bElbnU4kNsKAlOBi6B4jCXbeergGV45MYIA7VaKWzKD4fmLSNlKFH0kuP55jbitkIxbtVy7IgFMpG6YbQl9g+vYl+ple6IdEvnymYqvrPq3aLzfo9yx+g7/nlhZTlxzdfdNbM7eSklnYnS1MmvpyZUwrbv+YytLn5tF14q1tLd3MapT7Au2P2mQ6wTLCa1tSpyYAqtFnkkVjNFtBfFsvk1p0k7D4DWxSQrLElCqRhbHQA5o1Uqfly7fQyrbCYPXkFtzI6x9c9yKK/F2skmHzlwitsyJKmuWDYkcZ4fexWu57XM6x/lgxhgsEbGBryqlbgAeXEBZbgeu0+//GPhX/MQahtcJJs5q6fOA9XzddbeVVtddZzAsMj8PZIApERlDjwSUUotXBOUi6S6k2DPYgjV+ityoy6STodYwqFy0VpDI4EJEaLdagCO0hgqar6QlKmaVd+TvAvyU2+3NrcirT7BRtXIQIalsxiSuYCQH9+C9coCcu5KTxYNsXdHK408r34VIy2hbwse23sSxA8/RlHTCDHKBbCGJHGx6px/oD5ybOEc26cTMXusT7bSvezttqcraVj5Rt6HA9apUoRQVnB72llYzmRjjCdXBWbeHvqYUifZWGD3FKaUYc3L0eEVcWzg6KSRx6G1KsdnN80ikrRbbV26KSnE4u5HnnV6y3hFUSdHqrgJgVVuGb4xQRVuqDcd26XIyHNLZ5qxd74Ovf9pXmoJrqF2yACatZNmkiFTF59k15hGaEk2MTvrtHz/vx9oEsWKC7+rF1ndhH3mY4rgfv5LyrPDaTNopRBdejvUvvvtfUtkUKCt5AJNX/RyppIfz1PeJ36tx+SythKxsS/PK8VHsCnfBaKbEwPLoWi7jwMn0SoTXYk0HMUGBAlKqMEf2JrYhvFDVR6SaeKTn3ZwY+ceqVYFypqJaKVRZnPzjVp/pnlWt3JDqRn2vifM16lV1Z+P14t69/t28fAR+JEf14coWLP9zOYWNI+K7C0qgcFngJjm89m2UnnkASuV+Cyn00aIOa3m1K6KXBcaxRDhS9CdSjhVHqfWcifJaYTf2yQewACvyPdvqlL+fjgikmti2AqzhsuIfdKMlflZTgPyq66uO4TjJcDuAh3vuoX1tHvneg2E7W3oLDBwb4/DZcX9ZaQqH8qSTpRVUz0mjxGZsqrrY8kIyo4KllCqKyIiIFObRzULhzzAq4PeUUp8FOpVSB/UxD4pIddEKg8FgMBhmQCl1SSRhsiyBZBPSuZknVBtSrAjoL03S35ymecrlNRFscekuJDl42h8Y39JxGavs/WQyPRUtl0AEp2LgVxLHH9jZQkcxy0ERtnptPDR5mK2RjGKpoau4YugqrJcOo5yTFLwCTXaCU6WJWKrmRKaF3lwaSpNszNzMU+f/qfaJZssp3ceKOkRfBLq3wqg/2KynXAGMOQVWjOfZL2dIeTY9hSRTaqJqu5OpAW5uTTDMmzh8ZrLsMpRqonvtWzl06FU85SdpQISp/D5uzz7J6OC9PPISrFZNbEoW/FnyphWUTj3FhJ1GOENnPsHYqfLVSXsOjBCzjPzYhh8j5aRgYoTr0/18YeQl/1S9HPTuADsSVxUbyMcHvOu78rHFtWxdg4VBTmjF6rnD58DxFSwllh9igwWtQ1iTJ1CHjqKUwragPZeCSX8QLiKxtO0AE1M6oQG+2SPqFmm7SXDq1/nKJGzOjxdJuhaWCC0Zj5ePjZQtM/ru3pi9mSfPf5W80wXA29e8nbSb5nOHD1EiXizXUqpCwSkfe0pN6f7xa6m1pK/k5f4b2BDZ/i2713PuhX+vkrXcTpA6v2yhqkaqFosIPc0Z3te3DnKd3B/LuFJNc7KZ/XIqdiw34o65vqtA6UyGoTHhuUmPg1MRC5sTZPq0sLDobkoykGuiQ1t3HMthqmUQO7cCTpWTmJSlLyulE6o4oy/dlJ3ifKIHxkZjynCLlQwT1Fsi4KbwipNlLSk8GmR1Nr+rUz10ptuppNL6OuFkGUu2x7YItoteczti1e9r9WMzxyf9Y50bm5r2vOab2WYRHAMeF5EHgfPBQqXUT1/gca/SmQg7gAdF5OnZ7igiHwI+BLBixYoZtjYsSYJU36fKGav6zozW2dhgMBjmjo7jXQOE06dKqW80TqILRARWXUtx/wtQjA8QbDWBbQnZhMO23mbuWNVLT1OK8akiKdfGPnweeeagnyJ6/VuRp/7e31EPpvKpGkWBRWhJeyTPOvzklvfhTfx3bpeBmoPmPYOdQCdMjfO2zCqOlsbLA9FMG6y+Abw0dG8n+cx+tmbfRpEJEq7F1avbGH+12qBY1DPim9s206UceP7fZuyi59reyO7hV9muOkgOtiAiTKnJqu2eaX8zb9mzFuehV4HJmCVt35orUIlR1h08yjMTJ1EIB5p20f+me3j60BngEBtVG3u1axutQyR6rubEw2dh7LDOjlbDGaxzU/g2TK4gYxQsv7Av6IF0kPFNi1TwsowqWKdayNLDS807aT//HLY14af2jqAA+nbP2E8KwkQJwbkH8S9FVaSkSqGyVhIrHMKCr1yeSg4iJLDEYaNqrVaw9EA6qrjrzGgAvO/KQfafGKEjn2SyOBneU8USZZuqgquHBrFfvgNLL+3KdOmVhxA9hA+UPhEJta1gaF2yPNjzYUYP/U/dvwnuWXsff3v+NUZT6TAVeMpJsbItQ3Y4/j3odbL1jThR5WTXB2DiHLxStoAFt9RHt30UjgYZd4Vr+67l34Zr38s7dCKHYN+h1DXs7krHEm30NqU5PenRalvIaYui5epacOUdBT/Lo2dbbOhqCq/xPevv4fNPfT6iN8VPTkTYlWznxcnTocthjF0fqJL5TKKL4UQ7oxwNl1niX50JO4PVuxMmhkEsspbHuZKv7J8cmWQg4o25yo27ZlZ+h6KPnQ3deV5G+a7HEr07y9gIk0BfcwrR2Uuniv5WA61pFpPZKlj/qF/zglLqgP5/RES+DFwOHBaRbm296gaO1Nn3s8BnAXbt2lWvALvBYDAYXqeIyE8APwP0AY8Ce4FvA29spFwXw1u2dPG9l05wJDIbfDrZBz1TkEuSchxWtvmD9HAA3r0dWoYgmYd8N05xks2T/8j3D51CIWTcDDeuvJG/OHoubNMSoSufZE1rE04iDcFgec2b4Lk6UQJikbZcBpwkBMkwgrisIb/Lb9zUydeePIxDgvfsHSCfdPnWsepCx0W9/2BhkH5cYGYFy02kOZEe5FSyjyvTOu12RMFy7IphmMT+6fO2YgPL6Mx8kFQjRqlEvq2Hj19f4ruvuLww+k0On4nXWro23Ud+zds4NnqMhB2JFQmOoxXdnJerWndr+y5OF7oZfuHvOG9leTy3icO5TXDuLwHoz/Uzfv4kR3gNVeiFNTdUiSgSTzBSosSo4w+8be1CFihY+8/uZ6I4EUk44Fu6lHYK3Kja2J/YwFjJ4rLsHfSe/jzFSutBoGDp/j6S2cDQuYPhes+xWN2R1bKVrT6qwp3t6rXtPH34LGcrLA6eY9HZ1AXnQLUMwuHH8NXawEXQwkIYaV4H6Rb2du/lHx8fJmt3lO1RynfP29m5k42tG2Ptk+/hXgp4g/uq4h3LtuPI8pyeYHhFYu2XdwrcPYX2Glaaj23/WOxzoHAW3G52d8VLnuS9PKcBD8t3qSxa9DR5sXvWEjtUeFNO2SU3eJ9wbGzPZrToKzWT2R6KJ89SEC/MMqmUqipp4J9nvDdA6BlYw7OvHAuXNlsJjjCJu3Iv9uqr4ak/Acvmzis+wckffpG/O1euhVWjNwHftbUt1RYmIolOgtiW4BZHsBGK+rztqDLopbHGI66d2sUycJVNexVukwvMtEkuRGQFgFLqj2u9LuSAIpIJamjpdO83Ak8ADwD36s3uBf7uQto3GAwGw+uenwF2A68opd6AX8fx6PS7LD1uX307bxn0i2wOtGZ4567+cMDRlkvgeS6suzl0EapCxFeuws+QS7jh6GZP9x56snH3QT89tHYfjKaq7ttFfWYOHx9qL6dSzyerFauAUpi8IJ6kYjruvXKA13pv4kh2QxiPNJTfRNZpZ6DQxx2bdsVSNE/pDBQHTpU9J3wFqzyMjrrFZWuksifnW1Vc2+LqVau4d9O9uFY8E90mr4X+XD+XdVwWH8yHbes01VZk4KfPP+/l6c/5GfQsNRXWvQrGm7cO3coNbdu17LMbOJYoKzPlFOD+/6+89BUAjk8M6/MvK08t6aA+lsOaziyFdFBo2o/7W92R5bIVTWFhZDtMN14fP21D2VoWcG7b+wH4iWtWVe3zk29YzW2718IbPoXK+v1vAQdO+e53k3aap9tu5mT3PsCPd1ubfiO2uGVlTvkuc3u694SKbXhtWofIXP9LuKuuiyhY2l0v6OMaMViWdrtMqor7JKhR56ZDhRZgb/cM2flqWIv39e1jX9s2CnYCS4SdK1voyCWr5JlSfjxSU6Kcdj16f63pzFK0k3yn/z6KqTYOZTbiFrbiRr9r9VLUV7C+q2x9um/LfXQn/YmIpjVXxLZLt671rYJARidFUaHVkZiZyrEc3rXuXVXPpYD8+CH/2iT987MiGRxLbetDhUuhQgVrbLLIhsxNvH3Nu2Z1XvPFTBasvwV2AIjIl5RS75iHY3YCX9Y/Eg7wRaXUV0TkIfx08B/EL8n3znk4lmEJcP+j9/PtF46Hn00yi0uTB6znuf9L/7nmuiCI3hQiNiwSY0qpMX+WXBJKqadFZN3Muy0tKlNFR3nPngtxkfcHMn3NCc7iVKUB1/1VXlBPcatqVu+TyPuz3W51qcxoXa+AnmwPZ8ZjVURDF0FbbChqK1RFRrcbBm4g7+X5s6P+vmnPoSntcX58NDS4pZ0ca9NvZM9gC1cOtTG2shhaRE6N+u5KU6XKJNL49X+ojlOJcfXPVaX1rmLjbTBVJ+4mSF5QayAbuIHaLmirl1Wa4h07+/jDb70UUzldncVxMFVpYfARIkrO7g9y+swoTEHKSZIMkghUzLNva7mSwyeCGCytaJWKoXvhroEWruxP88SrDicnRCfMiF/fqIugoOjIV/dVoJSAn25fAc0qSSmSUe6j1w3VDQcK6jzbFXGEp1P9KCs+tHVtoTXr9+Xm3uoaWNf1X8dTx5+qkg9gQOVpK6W5Nhjw17gvXD0ZsEE1czq3mXu3aEN5Sis5PTvChBV5Lx+6BFYSWLBqFcMtJAoUCkNw+PmYHJWWtianH3i6psUMItdGBM/2U7+3tbSQmDgUEWR2FZwEYceAf46u7eJ6DrtXNuP0NnFu4lxkQ//euDu3lj+a2qcX6mLF033P6h4XVFAHbft7+MGxrXD+KyASpo6PWrD2rmrhxOMTrGruqtPiwjCTghW9ctXTCReAUupFYFuN5ceB6lQiBoPBYDDMjWERacKfJHxQRE4CBxos07wSVYS2tG2JuQRNsxMAeQ+aHLdqcFaFNUuXGsuGjbdDoS9uMavgzZu6ODlSTj7xttVvq9rm8q7LefCVB2lJtsBp35pSqYisbfYnaj5wdWuYRbEU1tTRsRnxHAUkXTtUAhKOzfikb10Q7WQWxPmsbV7LsweP0VVIc+u28iz6O3f1kRzTVrg6ypVjSVjbJxp7Vb2hBxtuheGyy+Vd6+7i5NhJOK0HupYdKriOmsCtdHMEMm6Kd+fWUmjZWLUu7INAw8p2sHpFDx1j49y76b1lC1ZkMO3ZHrdt2MLvf+NFP4sgp7FUCdH5B0ti++6nRY/NPQX+6vhKQKoUguCaJFyblZ0ZupuqFe6oMp93urjaGmQKCTMCQm2lvJLK4bmIxNz03n/VSjzHIu05M07wrW9ZH2vnvi338fAjL1ICcrZHkBymEttyEPHrgq3O7yjHTmU74NpfBMvCmvDLHBQrslvGZff/T9TLdhdJFR8meaiQp91bzd4Vu+omhXEi1yrl2ewYaGJNUx551WJ3ywY6CivryheKoY9ti5Bw4tcoUOBicullLXYSu+hSAoKviT3TM6iCUmgJDJRRO94vKpBDQsVudUeOn75+8fMezaRgqTrvDa8zfuPBZ6ddbywThukIixB/vbV65Rs+tbjCGC55lFJ36LefEZGvAwXgKxfTpojcBPwmfjz+HyilfuXipLxwWpLxwp7X9F0zux2nfOXGH8RWD2w29VxEFvvO2oP8KBtn0f6K/Ao+uOWD/ofAEpGuPVgM3OYAeptTHDw9RiZRLs4K0w9c3rypi97Wezg5dpJCouDHxEyOsuWFbnYW+sN4IdBxWNnpLXr37VvF6dHJSBr1aejaDIfKOVdaU620plphTOcRs5wwA+Fr+e3s1Ncr5UaseWLRbCfrKsJ5p5OTE4fDz7cNvZXHjj0WS/8ddV3rTHeSTTi0ZDwOjG9jlSpy1ulARp8BCOueYTtw3ScZfvBZVOkEjggd6XLi55GirpmmSn4B28qaUhW0Zj1WjGR5cfw8TenZuacFcVe5Gu6b0UQJs23vo9s+WrXMtV2aUx7Hz0+UFbkaCpbjZUOVJ1D0Q6wgVsjv5+kUrBnRxx7w8pAfgHPPxixqgWiOVd0ntw7diiMOrxwpy9+cbPaj6Lq3w4FH2L37o2Wr26zEEfZ07+G5k89VrbPqWKZ2r2rhuy+fYap1HYy9FI+hmgU/7LqTAyPfpD2wYEpZRROgkHQ5dbroX/dZWuIWipkUrG0icgZf7pR+j/68rGqKGBaW6RSwh88cr7vOYDAY5gsRSQIfAVYDjwOfU0rNnCVh5nZt4HeAN6OCH2gAABgYSURBVAHDwEMi8oBS6qnp95x/fnzjj8cTJswFPbhT+DWrKme/CymPkirFLVs776VhNPXD5rf7iTpm4KqhNjb3FKpilSprIkVxbKGQyJez+wG4Ka5Zf+cFiRu1kl0wnVt8RbhnO1g23+m/D0RIeTa3busmn/4Q+WRgrZx+9n9d9jpGJyfD5BP9+X768/2xbRwpDwOjacHPJrrY33M3kwfOYIuiSNR6gN/BIpTUFJYVr9mU0S6iaxOb2OK9Up00QbOnew9v7O1gZVMPiW8l6MglkFrxbjUIrmpHzqvSoqe55HWpV5N88Nb/QMe5s9hP/7muRVZDwbIcplJtcF7qHjuwag0V6t/LQTKGaaQE4K251TB4Exx4FolckyDOsDld3d9BPN/Tw+X8cXetu0s3a8G+X5jh2NUoFDs7d7Kzc2fVunrPqCuHOtjQ08IXn2iGAy/N+ZjjboHzXjvtxFPa6w80pxJ0r2lGLnvPnNueb6a9k5VSi5tyw2AwXNJ8+8VqZfs7U2Xl3FhCDRfJHwOTwDeBm4GN+AkvLpbLgee1izsi8ufA7cCiK1ixjHNzJQwAJzbzfdXqNkTg4dN6sNK5CXS9I/K1g80XjfbZhc5ZltBcI5FFrYQB4T5z806C3p1wev8cd6rP7q7dnBg7USGUBf2RlOsR+Vd3zO3aN6UTTJyBW7Z2190m7ZYzJFbeW8VSECejsF2brubq46ftFvKJQixxw8bWjWzKQrNjI7K/rrtkfGAus81pAkSz0C2slcLNNNOUaYZnbT9DZg2Liy02Y02redTdxTV1xHEsh/dvfv+0kyO1rHExYsqEHp439UHRz9+zsTtPS8aju1DfXdiO3PT1rEwzYWulvKgq6krt/WgYN2mJhS02W9q3VJ1Dc8bj7evu5MjJQ8yGgdZ0zFod1L66sufK2HmI7WKLIGvfXCPz4eIz2zTtBoPBMCP1E5isXlQ5DK9bNiqltgCIyOeA781Tu73Aq5HPw8Ceyo2Wfp3G6ADNCi1Vlw/6LoePPKZjGAb2QvPynuwIBpLTu4jNUcNae+OFC1SD3V0z166aHbXPI7Cm1MyCqIlmm2tKxt3DgvF80oF1/U1s39pXtb8tLnevvyeWGdKzbRJWjnHHhqt/YUYXwQshmub7nj0rmHyqwOOvnY6tm1csF6guXg2+8qQAJaquJQyYMU5ydUeWH79igJZ692w01shNwq4PIKlmeOIP/KUi0ypXANv6m/jBKyen3WYmLPzrOVWqqDVX4V744W0frttGd9Mg3U2rYfQUM30P374jft+FhZj1fWWH3WJhXffJsmtxg1kaUhiWPQ+f+YtGi2AwGAzhL75Samq6wc4cqdVQ1ThuyddpjMYlSbyGUWyzuSoeS5AdK5rIJGw2dNe3+szZgrXkmOUtNs15Ri1YUWUL/AF/ey7J0IEkjI3WdfVzK2JdAuW2pJi9crX93XDy5dltS1zB6swnSbqRGmYX4iM4E14GJs6HbrZR2tPtZBMvMjZiMdBy4cVsRYS2aeP8JNjQ/5/rRIBr+6+lL1ut/NYiagm6UAJ30CoFazpWXgUv/3vcCudltII1V/zMlcF1jiZqsWdZsmAxMAqWYUEwqdgNBkMD2FYRK5yKxBFfTNzwMBANXuljWWYl1DW0rCQviFXlEjajYpVth3PLo5yYY1ts6qlOyQ3lgdk8KuCNZeJ8zcWzVTNcy2WyNEna8ZUDCcfxws6BZnhNu4LVSdtfWcg5yCQ3XfxbFc0r/dcsWdO0mu/zICntrtaXW8Ej4vfDRcfB1WLLnXD4ybD+UpStbVtpSjQxkF1NylvAYXWd+3VT6zQZKxeAfWu6+NIzdrWL4HQM7vNfUVZcCY//FWRqJ7GpR8pqwrJOhu6WWV1AWLG0vtNGwTIYDAbDJcECxg0/BKwRkUHgNeBu4J4FOtaCsyPRzkDvNtoy8TiFYHBSV9Ha+YGFFm1RWQ4WrFzSCet3VeHp9OfRmkNRAkVyBsU5yLpXGZMTZGIMXa6ceHr67f1NPPrqqVjqbyhbsBbEkqTZ3XMl2wvfwNMWi1tW3cIrr/hp1rf1zT4T3qxJFmDgypqr0m46luJ94ZCK/41hdXsT2843MTUXBasWbasvKItwmzvEbUOb6cv5VrubtnQwXMqEha6XCkbBMhgMSwZTDsCwFNHuhh8Hvoqfpv0PlVJPNlisudOxAZ7/Z98VKdUx8/aVNDjt8XyRSfhKS2VG7aXIj18xUL8uUmBNKdZ21bpxUxfffuF4mF2uHiXlt1/pXhUO47e+C068VFX/67p17Vyzpq3KauDaQnchya6V8XIC84nYjq9c6VT2UR0v5S0dN7F5JVCAGxxj1J3txhKLbe1VJW0XBRFhRb4c49qRLdBZo5h1ozEKlsFgaChhjawKvrPiQ4ssicFQH6XU/wD+R6PluCgSWX+Qpkp+sds6LCU3m4UgrQfgxWWgYSUcu6qYa0gQ31QnFqYzn+Rtl/XOeIx6FqzwNki3+K8KRKTKPTBYfvfli5DkZfcHQyvepX7PAuUL4s6iqPgCknJSfGTbRxpy7Lsv7+fwmfHYsgsuW7HAGAXLcFEEg+Mj1vMNlsSwlHngAu6P4RqJU+5/1C9U/LHtH7tomQyG1yXaWkGNQcmlkNxiNpSTMCx9BWtaMh2+0jx47cW1o7vB1gWLg25Z8vdDtmyFXQ7unhdNssmfGOmvSmA6J9qyHmfquZ0ucboLqZqZEu9efzdnxs/U2KNxGAXLAEzvmrV3/2fZS+1B8gOXhseIwWAwvL5IZOuuWvID64skqI217BUsx4Mrf+qim6m0YIX1r2pYp5YqrwsLVrYdrvlfLrqZ9+wduKBizEuZlmQLLcmFc0m9EIyCZYhRK926sU4ZlgrffsEvVDx+tPaEgInRMhhmiVetYL0uBqmUz3M5uAguJpUxWMtJwQK4ek0bXUswFmepISL1EhIa5hGjYBkMhiXJtKn+83ctniAGw6VIjfpEl7rlKsBzXh/nOVvaUm0cGz0WXv/A3c5eZqPw3QuYVMNgmCtGwTIYDAaD4fVGjaKxY8Ux/83yGlfPmSuH2nAsi/VdF1oW7dLitqHbODV+KrTsuY7vKmjsewbDhWMUrEsEk97a8HriyPAnai6//9EbTQIMg2E21LBgBXWLHLm0hwZJ12bf2vZGi7FkSDpJupyu8PNbt3Tzw+HTtM6Q3t1gMNTn0n6KGubE3v2fNfFWBoPBcCnTuwOOP890QRivl1gsQ22a0h7XGgXUYLgojIJ1CRNNWBGkt66/7XGjXBmWPa8+8jU+9cjXaq67rbSaK1bV+R5cQDV5g2FZsvbNoG6suaov18fw2eFFFshgMBguPUySbYPBYDAYXk/MZKEywTcGg8FwUSw5C5aI3AT8JmADf6CU+pUGi9RYvv7Ls9ps7/7jVcuiFqlXH/H/D+d3zotYBsNy5NsvVn9PAO4/8Z/r7rOjImOhiWc0XKq8XrIIGgwGw0KzpBQsEbGB3wHeBAwDD4nIA0qppxor2cIyfZHf2gPCC2Xa1NcGwyVMrULZAX11CsAvxISESUhjMBgMBsOlzZJSsIDLgeeVUi8CiMifA7cDC6Zg3f/o/XXXXVA2sq//Mvefeiy26NVTo8D0g7WPnTpdd910A0ODwbBw9J35AXsrvpvf/tz0+1zxwV+7qGPOpIAtNLNR8IySeGmSdtIA2JY9w5YGg8FgmA4J0rIuBUTkTuAmpdRP6M8/DuxRSn08ss2HgA/pj+uAZxZd0Nq0AccaLcQFsBzlXo4yg5F7sTFyLx4LIfOAUmrZpjITkaPAKxfZzHK5F5aLnGBkXQiWi5xgZF0olous8yHnrH6blpoFq5YDeEwDVEp9Fvjs4ogze0Tk+0qpXY2WY64sR7mXo8xg5F5sjNyLx3KUeaGZD+VwufTrcpETjKwLwXKRE4ysC8VykXUx5VxqWQSHgf7I5z7gQINkMRgMBoPBYDAYDIY5sdQUrIeANSIyKCIecDfwQINlMhgMBoPBYDAYDIZZsaRcBJVSUyLyceCr+Gna/1Ap9WSDxZotS85tcZYsR7mXo8xg5F5sjNyLx3KUeTmwXPp1ucgJRtaFYLnICUbWhWK5yLpoci6pJBcGg8FgMBgMBoPBsJxZai6CBoPBYDAYDAaDwbBsMQqWwWAwGAwGg8FgMMwTRsGaR0TkV0XkaRF5TES+LCJNjZapHiJyk4g8IyLPi8gnGy3PbBCRfhH5uoj8SESeFJGfabRMc0FEbBF5RET+odGyzBYRaRKRv9b39Y9E5IpGyzQTIvJz+v54QkT+TESSjZapFiLyhyJyRESeiCxrEZEHReQ5/b+5kTLWoo7cy+bZtxxYas/nes9eEfmMiLwmIo/q11si+3xKy/+MiLx5EWV9WUQe1/J8Xy+r+b0Sn9/Scj4mIjsWUc51kX57VETOiMjPLpU+ncvzabp+FJF79fbPici9iyhrzWeSiKwUkdFI//5uZJ+d+t55Xp9PrdJB8y3nnK/3Yjwf6sj6FxE5XxaRR/XyRvZpvWdT4+9VpZR5zdMLuBFw9Pv/AvyXRstUR04beAFYBXjAD4GNjZZrFnJ3Azv0+xzw7HKQOyL/zwNfBP6h0bLMQeY/Bn5Cv/eApkbLNIO8vcBLQEp//kvgfY2Wq46s+4AdwBORZf838En9/pNL8RlSR+5l8exbDq+l+Hyu9+wFPgP8Qo3tN2q5E8CgPh97kWR9GWirWFbzewW8Bfgn/Bqce4HvNvCaHwIGlkqfzuX5VK8fgRbgRf2/Wb9vXiRZaz6TgJXR7Sra+R5whT6PfwJuXgQ553S9F+v5UEvWivW/DvzSEujTes+mht+rxoI1jyilvqaUmtIfv4Nfx2spcjnwvFLqRaXUBPDnwO0NlmlGlFIHlVIP6/dngR/hD6iXPCLSB7wV+INGyzJbRCSP/5D9HIBSakIpdaqxUs0KB0iJiAOkWaK19JRS3wBOVCy+HV+pRf9/26IKNQtqyb2Mnn3LgSX3fL6AZ+/twJ8rpcaVUi8Bz+OfV6Oo9726Hfi88vkO0CQi3Q2Q73rgBaXUK9Nss6h9OsfnU71+fDPwoFLqhFLqJPAgcNNiyDrXZ5KWN6+U+rbyR9yfZ56fv3X6tB71rveiPB+mk1Vbod4F/Nl0bSxSn9Z7NjX8XjUK1sLxAXwteSnSC7wa+TzMMlFUAkRkJXAZ8N3GSjJr/h/gE0Cp0YLMgVXAUeC/i+/a+Acikmm0UNOhlHoN+DVgP3AQOK2U+lpjpZoTnUqpg+D/cAAdDZbnQljKz77lwJJ+Ptd49n5cu9r8oZRdWht5Dgr4moj8QEQ+pJfV+14tlb6+m/hgdan1acBc+3EpyAzVz6RB/Zv2byJyjV7Wiy9fwGLKOpfrvRT69BrgsFLquciyhvdpxbOp4feqUbDmiIj8s/ixHZWv2yPbfBqYAr7QOEmnpZYP7LLJ1y8iWeBLwM8qpc40Wp6ZEJFbgCNKqR80WpY54uC7CPw3pdRlwHl8U/uSRf843Y7vUtEDZETkPY2V6vXDMnj2LQeW7PO5xrP3vwFDwHb8CY1fDzatsftincNVSqkdwM3AT4rIvmm2bXhfi4gH3Ab8lV60FPt0JurJ1nCZazyTDgIr9G/azwNf1N4ajZJ1rte74X0KvJv4hEDD+3QO48JF69clVWh4OaCUumG69Tow7hbgem0SXYoMA/2Rz30sUTeqSkTExf8SfUEp9TeNlmeWXAXcpoNXk0BeRP5UKbXUB/7DwLBSKpip/muWuIIF3AC8pJQ6CiAifwNcCfxpQ6WaPYdFpFspdVC7LRxptECzZZk8+5YDS/L5XOvZq5Q6HFn/+0CQwKdh56CUOqD/HxGRL+O7VNX7Xi2Fvr4ZeDjoy6XYpxHm2o/DwHUVy/91EeQEaj+TlFLjwLh+/wMReQFYq2WNuhEuSv9e4PVu2H2gXe/fDuwMljW6T+uMCxt+rxoL1jwiIjcBvwjcppQaabQ80/AQsEZEBvXs2d3AAw2WaUa03+/ngB8ppf5ro+WZLUqpTyml+pRSK/H7+v9bBsoVSqlDwKsisk4vuh54qoEizYb9wF4RSev75Xp8n+zlwgNAkL3oXuDvGijLrFlGz77lwJJ7Ptd79lbEK90BBBnHHgDuFpGEiAwCa/CD3RdazoyI5IL3+IkOnqD+9+oB4L06s9hefJfigwstZwUxa8BS69MK5tqPXwVuFJFm7V1wo1624NR7JolIu4jY+v0q/H58Uct7VkT26vv9vSzC8/cCrnejnw83AE8rpULXv0b26TTjwsbfq+oiMmSYV1U2k+fxfTgf1a/fbbRM08j6FvxsKy8An260PLOU+Wp8k+1jkT5+S6PlmuM5XMfyyiK4Hfi+7vO/ZQEyQC2AzP8JeBr/h+pPgESjZaoj55/hu1ZM4s+efRBoBf4FeE7/b2m0nLOUe9k8+5bDa6k9n+s9e/X363G9/AGgO7LPp7X8zzDPmcOmkXMVfla1HwJPBn1X73uF7xb0O1rOx4Fdi9yvaeA4UIgsWxJ9Opfn03T9iB//9Lx+vX8RZa35TALeoe+NHwIPA7dG2tmlfzdeAH4bkEWQc87XezGeD7Vk1cv/CPhIxbaN7NN6z6aG36uiGzUYDAaDwWAwGAwGw0ViXAQNBoPBYDAYDAaDYZ4wCpbBYDAYDAaDwWAwzBNGwTIYDAaDwWAwGAyGecIoWAaDwWAwGAwGg8EwTxgFy2AwGAwGg8FgMBjmCaNgGQxzRESKIvKoiDwhIn8lIulGywQgIv9xHtr4VRF5WkQeE5Evi0jTfMhmMBgMhqWBiJzT/1eKyD3z3PZ/rPj8P+ezfYNhuWAULINh7owqpbYrpTYDE8BHZrtjUIxvgZizglVDngeBzUqprfh1Nj41H4IZDAaDYcmxEpiTgjWL37DY75BS6so5ymQwXBIYBctguDi+CawGEJG/FZEfiMiTIvKhYAMROSci/7uIfBe4QkR+SUQe0hawz+pK5IjIv4rIb4jIN0TkRyKyW0T+RkSeE5H/I9Lee0Tke9qK9nsiYovIrwApvewL9barJU/0ZJRSX1NKTemP3wH6Fq7rDAaDwdBAfgW4Rv9G/Jz+LflV/fv0mIh8GEBErhORr4vIF/GLs9b8vavzOxRYy0S3/YSIPC4id0Xa/lcR+WvtPfGF4DfRYFjOGAXLYLhARMQBbkb/4AAfUErtxK9c/tMi0qqXZ4AnlFJ7lFLfAn5bKbVbW8BSwC2RZieUUvuA3wX+DvhJYDPwPhFpFZENwF3AVUqp7UAR+DGl1CcpW9Z+rN52deSpxweAf7rgDjIYDAbDUuaTwDf178ZvAB8ETiuldgO7gftEZFBveznwaaXURv256veu8neo4lhvB7YD24AbgF8VkW697jLgZ4GNwCrgqgU5W4NhEXEaLYDBsAxJicij+v03gc/p9z8tInfo9/3AGuA4vnLzpcj+bxCRTwBpoAV4Evh7ve4B/f9x4Eml1EEAEXlRt3k1sBN4SE/ypYAjNWS8fprtKuWpQkQ+DUwBX5huO4PBYDBcMtwIbBWRO/XnAv7v2ATwPaXUS5Ft6/3e1eNq4M+UUkXgsIj8G74Sd0a3PQygf1tXAtNN/hkMSx6jYBkMc2dUW4VCROQ6/Fm5K5RSIyLyr0BSrx7TPyqISBK4H9illHpVRD4T2Q5gXP8vRd4Hnx1AgD9WSs0UGzXddqE8NXcUuRffqna9UkrNcByDwWAwXBoI8FNKqa/GFvq/b+crPtf7vZuu7XpEf+uKmLGp4RLAuAgaDPNDATipf2zWA3vrbBf8CB0TkSxwZ53t6vEvwJ0i0gEgIi0iMqDXTYqIO4vt6iIiNwG/CNymlBqZo2wGg8FgWD6cBXKRz18FPhr8jojIWhHJ1Nhvut+76O9QlG8Ad+k4r3ZgH/C9eTkLg2EJYmYJDIb54SvAR0TkMeAZ/AQRVSilTonI7+O7AL4MPDSXgyilnhKR/xX4mohYwCR+nNYrwGeBx0TkYR2HVW+76fhtIAE8qF0Lv6OUmnWWRIPBYDAsGx4DpkTkh8AfAb+J7573sE40cRR4W439pvu9i/0ORZZ/GT+p0g8BBXxCKXVIK2gGwyWHGA8gg8FgMBgMBoPBYJgfjIugwWAwGAwGg8FgMMwTRsEyGAwGg8FgMBgMhnnCKFgGg8FgMBgMBoPBME8YBctgMBgMBoPBYDAY5gmjYBkMBoPBYDAYDAbDPGEULIPBYDAYDAaDwWCYJ4yCZTAYDAaDwWAwGAzzxP8P+n3zm7HALOQAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Show traces and histograms\n", + "import pints.plot\n", + "pints.plot.trace(full_chains)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Based on this plot, it looks like the three chains become very similar after only a few iterations, and preserve a similar behaviour for the remaining iterations. To further investigate convergence, we can use the R-hat criterion, which is based on the stability of outcomes between and within chains of the same length. If everything went well, we should expect values close to 1." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "R-hat:\n", + "[1.0010606734887204, 1.0002213241806097]\n" + ] + } + ], + "source": [ + "# Check convergence using rhat criterion\n", + "print('R-hat:')\n", + "print(pints.rhat_all_params(full_chains))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, the chains converge to the same underlying distribution!\n", + "\n", + "We can now continue our analysis by considering the [autocorrelation()](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.autocorrelation) method for the first chain." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "chain = full_chains[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If everything went well, the samples in the chain should be relatively independent, so the autocorrelation should get quite low when the `lag` on the x-axis increases." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pints.plot.autocorrelation(chain)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now look at the correlation between the different parameters by using the [pairwise()](http://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.pairwise) plot." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pints.plot.pairwise(chain, kde=True, ref_parameters=[2,4])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the plots, we can see that we reach the original \"true\" values of the target posterior, and that the method suggests a normal distribution around the correct mean!\n", + "\n", + "Finally, as our target distribution is Gaussian, we can calculate analytically the KL divergence between the distributions obtained from the chains and the true posterior distribution. We would expect the KL values to be be approximately $0$ to indicate no loss of information between the distributions." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0038054358249413056\n", + "0.003370973201234584\n", + "0.003717939293792716\n" + ] + } + ], + "source": [ + "# Check Kullback-Leibler divergence of chains\n", + "print(log_pdf.kl_divergence(full_chains[0]))\n", + "print(log_pdf.kl_divergence(full_chains[1]))\n", + "print(log_pdf.kl_divergence(full_chains[2]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Problem 2: Multimodal Distribution\n", + "\n", + "Having the confidence that Slice Sampling with Hyperrectangles performs well on a simple unimodal Gaussian distribution (when the dimensios of $H$ are good indications of the dimensions of the target un-normalised distribution), we check its performance on a more problematic multimodal exercise." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "log_pdf = pints.toy.MultimodalGaussianLogPDF(modes=[[-1, -1], [11, 5], [5, 12]])\n", + "\n", + "samples = log_pdf.sample(100)\n", + "\n", + "# Contour plot of pdf\n", + "levels = np.linspace(-3,12,20)\n", + "num_points = 100\n", + "x = np.linspace(-5, 15, num_points)\n", + "y = np.linspace(-5, 15, num_points)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = np.zeros(X.shape)\n", + "Z = np.exp([[log_pdf([i, j]) for i in x] for j in y])\n", + "plt.contour(X, Y, Z)\n", + "plt.scatter(samples[:,0], samples[:,1])\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If the dimensions of the hyperrectangle are big enough, we would expect the method to explore properly all the modes of the distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Done!\n" + ] + } + ], + "source": [ + "# Create an adaptive covariance MCMC routine\n", + "x0 = np.random.uniform([2, 2], [8, 8], size=(4, 2))\n", + "mcmc = pints.MCMCController(log_pdf, 4, x0, method=pints.SliceHyperrectanglesMCMC)\n", + "\n", + "for sampler in mcmc.samplers():\n", + " sampler.set_width(10)\n", + " \n", + "# Set maximum number of iterations\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Disable logging\n", + "mcmc.set_log_to_screen(False)\n", + "\n", + "# Number of chains\n", + "num_chains = 4\n", + "\n", + "# Run!\n", + "print('Running...')\n", + "chains = mcmc.run()\n", + "print('Done!')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "stacked = np.vstack(chains)\n", + "plt.contour(X, Y, Z, colors='k', alpha=0.5)\n", + "plt.scatter(stacked[:,0], stacked[:,1], marker='.', alpha=0.2)\n", + "plt.xlim(-5, 15)\n", + "plt.ylim(-5, 15)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As expected, using a hyperrectangle with ``width`` = $10$, we explore efficiently the parameter space, capturing all the modes of the target distributio.\n", + "\n", + "The KL divergence should be very good for the three modes." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "KL divergence by mode: [0.00084543 0.00565936 0.000754 ]\n" + ] + } + ], + "source": [ + "print(\"KL divergence by mode: \" + str(log_pdf.kl_divergence(stacked)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, when the dimensions of the hyperrectangles are too small (``width`` = $3$), we risk not exploring one or more modes." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Done!\n" + ] + } + ], + "source": [ + "# Create an adaptive covariance MCMC routine\n", + "x0 = np.random.uniform([2, 2], [8, 8], size=(4, 2))\n", + "mcmc = pints.MCMCController(log_pdf, 4, x0, method=pints.SliceHyperrectanglesMCMC)\n", + "\n", + "for sampler in mcmc.samplers():\n", + " sampler.set_width(3)\n", + " \n", + "# Set maximum number of iterations\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Disable logging\n", + "mcmc.set_log_to_screen(False)\n", + "\n", + "# Number of chains\n", + "num_chains = 4\n", + "\n", + "# Run!\n", + "print('Running...')\n", + "chains = mcmc.run()\n", + "print('Done!')" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "stacked = np.vstack(chains)\n", + "plt.contour(X, Y, Z, colors='k', alpha=0.5)\n", + "plt.scatter(stacked[:,0], stacked[:,1], marker='.', alpha=0.2)\n", + "plt.xlim(-5, 15)\n", + "plt.ylim(-5, 15)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As expected, one of the modes has hardly been explored.\n", + "\n", + "The KL divergence should be very good for two modes, and obviously terrible for the non-explored one." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "KL divergence by mode: [9.37409072e+01 2.15311069e-03 3.07014080e-03]\n" + ] + } + ], + "source": [ + "print(\"KL divergence by mode: \" + str(log_pdf.kl_divergence(stacked)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Problem 3: Time-Series Problem - Logistic Model\n", + "We now try the same method on a more realistic time-series problem using a logistic model, following the tutorial notebook: [sampling-first-example](./sampling-first-example.ipynb).\n", + "\n", + "Note that we haven't set ``width`` to any specific value. We are therefore using the default settings of the sampler, which generates estimates using the initial samples in the chains." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Using Slice Sampling - Hyperrectangles\n", + "Generating 3 chains.\n", + "Running in sequential mode.\n", + "Iter. Eval. Time m:s\n", + "0 3 0:00.0\n", + "1 27 0:00.0\n", + "2 42 0:00.0\n", + "3 51 0:00.0\n", + "500 13026 0:02.7\n", + "1000 26994 0:05.5\n", + "1500 40431 0:08.0\n", + "2000 52256 0:10.3\n", + "Halting: Maximum number of iterations (2000) reached.\n", + "Done!\n" + ] + } + ], + "source": [ + "import pints\n", + "import pints.toy as toy\n", + "import pints.plot\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# Load a forward model\n", + "model = toy.LogisticModel()\n", + "\n", + "# Create some toy data\n", + "real_parameters = [0.015, 500]\n", + "times = np.linspace(0, 1000, 1000)\n", + "org_values = model.simulate(real_parameters, times)\n", + "\n", + "# Add noise\n", + "noise = 10\n", + "values = org_values + np.random.normal(0, noise, org_values.shape)\n", + "real_parameters = np.array(real_parameters + [noise])\n", + "\n", + "# Get properties of the noise sample\n", + "noise_sample_mean = np.mean(values - org_values)\n", + "noise_sample_std = np.std(values - org_values)\n", + "\n", + "# Create an object with links to the model and time series\n", + "problem = pints.SingleOutputProblem(model, times, values)\n", + "\n", + "# Create a log-likelihood function (adds an extra parameter!)\n", + "log_likelihood = pints.GaussianLogLikelihood(problem)\n", + "\n", + "# Create a uniform prior over both the parameters and the new noise variable\n", + "log_prior = pints.UniformLogPrior(\n", + " [0.01, 400, noise * 0.1],\n", + " [0.02, 600, noise * 100],\n", + ")\n", + "\n", + "# Create a posterior log-likelihood (log(likelihood * prior))\n", + "log_posterior = pints.LogPosterior(log_likelihood, log_prior)\n", + "\n", + "# Choose starting points for 3 mcmc chains\n", + "num_chains = 3\n", + "xs = [\n", + " real_parameters * 1.1,\n", + " real_parameters * 0.9,\n", + " real_parameters * 1.15,\n", + "]\n", + "\n", + "# Create mcmc routine\n", + "mcmc = pints.MCMCController(\n", + " log_posterior, num_chains, xs, method=pints.SliceHyperrectanglesMCMC)\n", + " \n", + "# Add stopping criterion\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Set up modest logging\n", + "mcmc.set_log_to_screen(True)\n", + "mcmc.set_log_interval(500)\n", + "\n", + "# Run!\n", + "print('Running...')\n", + "full_chains = mcmc.run()\n", + "print('Done!')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As done for the previous unimodal Gaussian example, we use Pints' trace tool to check convergence." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Show traces and histograms\n", + "pints.plot.trace(full_chains)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the plots we can see that the chains rapidly converge towards the same values after a few iterations.\n", + "\n", + "To further investigate convergence, we use the R-hat criterion." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "R-hat:\n", + "[1.0006789846961717, 1.0011109041038977, 1.009118887883556]\n" + ] + } + ], + "source": [ + "# Discard warm up\n", + "full_chains = full_chains[:, 200:, :]\n", + "\n", + "# Check convergence using rhat criterion\n", + "print('R-hat:')\n", + "print(pints.rhat_all_params(full_chains))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, we look at the correlation between different parameters." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Look at distribution in chain 0\n", + "pints.plot.pairwise(full_chains[0], kde=True, ref_parameters = real_parameters)\n", + "\n", + "# Show graphs\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the plots, we see that we come close to the \"true values\" of the target distribution, displaying a normal distribution around such values." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Problem 4: Rosenbrock Toy Distribution\n", + "This function (further described [here](http://pints.readthedocs.io/en/latest/toy/rosenbrock.html)) which can be used to define a normalisable probability density function:\n", + "\n", + "$ p(x, y) \\propto \\frac{1}{1 + \\text{RosenbrockError}(x,y)}, $\n", + "\n", + "that is,\n", + "\n", + "$ p(x, y) \\propto \\frac{1}{\\left(1 + (1 - x)^2 + 100 (y - x^2)^2) \\right)}, $\n", + "\n", + "which we term the `RosenbrockLogPDF`.\n", + "\n", + "We now plot this function." + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from __future__ import print_function\n", + "import pints\n", + "import pints.toy\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pints.plot\n", + "\n", + "# Create Rosenbrock log pdf\n", + "log_pdf = pints.toy.RosenbrockLogPDF()\n", + "\n", + "# Contour plot of pdf\n", + "levels = np.linspace(0, 1, 20)\n", + "x = np.linspace(-2, 4, 400)\n", + "y = np.linspace(-1, 12, 400)\n", + "X, Y = np.meshgrid(x, y)\n", + "Z = np.exp([[log_pdf([i, j]) for i in x] for j in y])\n", + "plt.contour(X, Y, Z, levels = levels)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We turn the problem into a Bayesian problem by using the inverse Rosenbrock function as a likelihood." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Running...\n", + "Done!\n", + "R-hat:\n", + "[1.0098572360507991, 1.0041848429980391]\n" + ] + } + ], + "source": [ + "# Create an adaptive covariance MCMC routine\n", + "x0 = np.random.uniform([1, 1], [1.1, 1.1], size=(4, 2))\n", + "sigma0 = [0.5, 0.5]\n", + "\n", + "# Use suggested prior bounds\n", + "bounds = log_pdf.suggested_bounds()\n", + "\n", + "# Create a uniform prior over both the parameters\n", + "log_prior = pints.UniformLogPrior(\n", + " bounds[0], bounds[1]\n", + ")\n", + "\n", + "# Create a posterior log-likelihood (log(likelihood * prior))\n", + "log_posterior = pints.LogPosterior(log_pdf, log_prior)\n", + "\n", + "mcmc = pints.MCMCController(log_posterior, 4, x0, method=pints.SliceHyperrectanglesMCMC, sigma0=sigma0)\n", + "\n", + "for sampler in mcmc.samplers():\n", + " sampler.set_width(12)\n", + " \n", + "# Stop after 4000 iterations\n", + "mcmc.set_max_iterations(2000)\n", + "\n", + "# Disable logging\n", + "mcmc.set_log_to_screen(False)\n", + "\n", + "# Run!\n", + "print('Running...')\n", + "chains = mcmc.run()\n", + "print('Done!')\n", + "\n", + "# Discard warm-up\n", + "chains = [chain[1000:] for chain in chains]\n", + "\n", + "print('R-hat:')\n", + "print(pints.rhat_all_params(chains))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The R-hat tool gives us good results, indicating that the chains converge to the same underlying distribution.\n", + "\n", + "We inspect the results by creating a scatter plot of the samples." + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "stacked = np.vstack(chains)\n", + "plt.contour(X, Y, Z, levels=levels, colors='k', alpha=0.5)\n", + "plt.scatter(stacked[:,0], stacked[:,1], marker='.', alpha=0.2)\n", + "plt.xlim(-2, 4)\n", + "plt.ylim(-1, 12)\n", + "plt.xlabel('x')\n", + "plt.ylabel('y')\n", + "plt.show()" + ] + } + ], + "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": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/examples/toy-distribution-twisted-gaussian.ipynb b/examples/toy-distribution-twisted-gaussian.ipynb index b4e955ca1..f79647f30 100644 --- a/examples/toy-distribution-twisted-gaussian.ipynb +++ b/examples/toy-distribution-twisted-gaussian.ipynb @@ -281,21 +281,21 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.14" + "pygments_lexer": "ipython3", + "version": "3.6.4" } }, "nbformat": 4, diff --git a/examples/toy-model-fitzhugh-nagumo.ipynb b/examples/toy-model-fitzhugh-nagumo.ipynb index 77800b356..7c6877132 100644 --- a/examples/toy-model-fitzhugh-nagumo.ipynb +++ b/examples/toy-model-fitzhugh-nagumo.ipynb @@ -234,7 +234,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.7" + "version": "3.6.4" } }, "nbformat": 4, diff --git a/examples/toy-model-goodwin-oscillator.ipynb b/examples/toy-model-goodwin-oscillator.ipynb index 26dc56fa3..00f285638 100644 --- a/examples/toy-model-goodwin-oscillator.ipynb +++ b/examples/toy-model-goodwin-oscillator.ipynb @@ -300,7 +300,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.7" + "version": "3.6.4" } }, "nbformat": 4, diff --git a/pints/__init__.py b/pints/__init__.py index c7e085eb5..f0903b3dd 100644 --- a/pints/__init__.py +++ b/pints/__init__.py @@ -205,6 +205,7 @@ def version(formatted=False): from ._mcmc._metropolis import MetropolisRandomWalkMCMC from ._mcmc._slice_stepout import SliceStepoutMCMC from ._mcmc._slice_doubling import SliceDoublingMCMC +from ._mcmc._slice_hyperrectangles import SliceHyperrectanglesMCMC # diff --git a/pints/_mcmc/_slice_hyperrectangles.py b/pints/_mcmc/_slice_hyperrectangles.py new file mode 100644 index 000000000..a1eeeb2a6 --- /dev/null +++ b/pints/_mcmc/_slice_hyperrectangles.py @@ -0,0 +1,283 @@ +# -*- coding: utf-8 -*- +# +# Hyperrectangles-based Slice Sampling +# +# This file is part of PINTS. +# Copyright (c) 2017-2019, University of Oxford. +# For licensing information, see the LICENSE file distributed with the PINTS +# software package. +# +from __future__ import absolute_import, division +from __future__ import print_function, unicode_literals +import pints +import numpy as np + + +class SliceHyperrectanglesMCMC(pints.SingleChainMCMC): + """ + Implements Hyperrectangles-based Slice Sampling, as described in [1]. + + This is a multivariate method, which generates n-dimensional samples of + the form ``x = (x_1, ..., x_n)`` by sampling uniformly from the area of an + axis-aligned hyperrectangle: + ``H = {x: L_i < x_i < R_i for all i = 1, ..., n}``. + Here, ``L_i`` and ``R_i`` define the extent of the hyperrectangle along + the ``i`` th axis. + + Sampling follows: + + 1. Calculate the pdf (``f(x0)``) of the current sample (``x0``). + 2. Draw a real value (``y``) uniformly from (0, f(x0)), defining a + horizontal “slice”: S = {x: y < f (x)}. Note that ``x0`` is + always within S. + 3. Find a hyperrectangle (``H = (L_1, R_1) ×···× (L_n, R_n)``) around + ``x_0``, which preferably contains at least a big part of the slice. + 4. Draw a new point (``x1``) from the part of the slice within this + hyperrectangle. + + The implementation uses estimates (``w_i``) of the relative scales of the + variables to randomly position a hyperrectangle with such dimensions + uniformly over positions containing ``x_0`` that lead to ``H``. The + algorithm consists of the following steps, as described in [1] Fig. 8. + pp.723: + + 1. ``y \sim uniform(0, f(x_0))`` + 2. for ``i = 1`` to ``n``: + a. ``U_i \sim uniform(0,1)`` + b. ``L_i = x_{0_i} - w_i U_i`` + c. ``L_i + w_i`` + 3. Repeat: + a. for ``i = 1`` to ``n``: + - ``U_i \sim uniform(0,1)`` + - ``x_{1_i} = L_i + U_i (R_i - L_i)`` + b. if ``y < f(x_1)``, exit + c. for ``i = 1`` to ``n``: + - if ``x_{1_i} < x_{0_i}``, ``L_i = x_{1_i}`` + - else, ``R_i = x_{1_i}`` + + In the presented algorithm, the hyperrectangle is homogeneously shrunk + in all directions when a proposal is drawn outside the slice, until an + acceptable sample is found. + + The following implementation includes the option of executing an + adaptive shrinkage procedure along only one axis. This is determined using + the gradient and the current dimensions of the hyperrectangle, + as described in [1] pp. 722. Specifically, only the axis corresponding + to the variable ``x_i`` is shrunk, where ``i`` maximises: + ``(R_i - L_i) |G_i|``, with ``G`` being the gradient of ``f(x)` evaluated + at the last rejected sample. By multiplying the magnitude of the component + ``i`` of the gradient by the width of the hyperrectangle in this direction, + we get an estimate of the amount by which log ``f(x)`` changes along axis + ``i``. The axis for which this change is thought to be largest is likely + to be the best one to shrink in order to eliminate points outside the + slice. + + To avoid floating-point underflow, we implement the suggestion advanced + in [1] pp.712. We use the log pdf of the un-normalised posterior + (``g(x) = log(f(x))``) instead of ``f(x)``. In doing so, we use an + auxiliary variable ``z = log(y) = g(x0) − \epsilon``, where + ``\epsilon \sim \text{exp}(1)`` and define the slice as + S = {x : z < g(x)}. + + [1] Neal, R.M., 2003. Slice sampling. The annals of statistics, 31(3), + pp.705-767. + + *Extends:* :class:`SingleChainMCMC` + """ + + def __init__(self, x0, sigma0=None): + super(SliceHyperrectanglesMCMC, self).__init__(x0, sigma0) + + # Set initial state + self._x0 = np.asarray(x0, dtype=float) + self._running = False + self._ready_for_tell = False + self._current = None + self._current_log_y = None + self._proposed = None + self._hyperrectangle_positioned = False + + # Hyperrectangle edges + self._L = np.zeros(len(self._x0)) + self._R = np.zeros(len(self._x0)) + + # Default scale estimates for each variable + self._w = np.abs(self._x0) + self._w[self._w == 0] = 1 + self._w = 0.1 * self._w + + # Flag to turn on adaptive shrinking + self._adaptive = False + + def ask(self): + """ See :meth:`SingleChainMCMC.ask()`. """ + + # Check ask/tell pattern + if self._ready_for_tell: + raise RuntimeError('Ask() called when expecting call to tell().') + + # Initialise on first call + if not self._running: + self._running = True + + # Very first iteration + if self._current is None: + + # Ask for the log pdf of x0 + self._ready_for_tell = True + return np.array(self._x0, copy=True) + + # Randomly position hyperrectangle: + # ``H = (L_1, R_1) x ... x (L_n, R_n)`` + if not self._hyperrectangle_positioned: + for i, w in enumerate(self._w): + u = np.random.uniform() + self._L[i] = self._current[i] - w * u + self._R[i] = self._L[i] + w + self._hyperrectangle_positioned = True + + # Sample new proposal + for i in range(self._n_parameters): + u = np.random.uniform() + self._proposed[i] = (self._L[i] + u * (self._R[i] - self._L[i])) + + # Send trial point for checks + self._ready_for_tell = True + return np.array(self._proposed, copy=True) + + def adaptive_shrinking(self): + """ + Returns True/False if adaptive shrinking is on/off. + """ + return self._adaptive + + def current_log_pdf(self): + """ See :meth:`SingleChainMCMC.current_log_pdf()`. """ + return np.copy(self._current_log_pdf) + + def current_slice_height(self): + """ + Returns current height value used to define the current slice. + """ + return self._current_log_y + + def name(self): + """ See :meth:`pints.MCMCSampler.name()`. """ + return 'Slice Sampling - Hyperrectangles' + + def needs_sensitivities(self): + """ See :meth:`pints.MCMCSampler.needs_sensitivities()`. """ + return True + + def n_hyper_parameters(self): + """ See :meth:`TunableMethod.n_hyper_parameters()`. """ + return 2 + + def set_adaptive_shrinking(self, adaptive): + """ + Turns on/off the adaptive method for shrinking the hyperrectangle. + """ + self._adaptive = bool(adaptive) + + def set_hyper_parameters(self, x): + """ + The hyper-parameter vector is ``[width, adaptive]``. + See :meth:`TunableMethod.set_hyper_parameters()`. + """ + self.set_width(x[0]) + self.set_adaptive_shrinking(x[1]) + + def set_width(self, w): + """ + Sets the width for generating the interval. This can either + be a single number or an array with the same number of elements + as the number of variables to update. + """ + if type(w) == int or float: + w = np.full((len(self._x0)), w) + if any(n < 0 for n in w): + raise ValueError('Width must be positive' + 'for interval expansion.') + self._w = w + + def tell(self, reply): + """ See :meth:`pints.SingleChainMCMC.tell()`. """ + + # Check ask/tell pattern + if not self._ready_for_tell: + raise RuntimeError('Tell called before proposal was set.') + self._ready_for_tell = False + + # Unpack reply + fx, grad = reply + fx = float(fx) + grad = pints.vector(grad) + + # Very first call + if self._current is None: + + # Check first point is somewhere sensible + if not np.isfinite(fx): + raise ValueError( + 'Initial point for MCMC must have finite logpdf.') + + # Set current sample, log pdf of current sample and initialise + # proposed sample for next iteration + self._current = np.array(self._x0, copy=True) + self._current_log_pdf = fx + self._proposed = np.array(self._current, copy=True) + + # Sample height of the slice log_y for next iteration + e = np.random.exponential(1) + self._current_log_y = self._current_log_pdf - e + + # Return first point in chain, which is x0 + return np.array(self._current, copy=True) + + # Subsequent calls + if self._current_log_y < fx: + # The accepted sample becomes the new current sample + self._current = np.array(self._proposed, copy=True) + self._current_log_pdf = fx + + # Sample new log_y used to define the next slice + e = np.random.exponential(1) + self._current_log_y = self._current_log_pdf - e + + self._hyperrectangle_positioned = False + + # Return accepted sample + return np.array(self._proposed, copy=True) + + # Shrinking + else: + # Adaptive shrinking: shrink in the direction ``index`` + # in which ``(R_i - L_i) |G_i|`` is maximised + if self._adaptive: + # Store products ``(R_i - L_i) |G_i|`` + temp = np.zeros(self._n_parameters) + for i in range(self._n_parameters): + temp[i] = (self._R[i] - self._L[i]) * np.abs(grad[i]) + + # Index which maximises ``(R_i - L_i) |G_i|`` + index = np.argmax(temp) + + # Shrink only in the direction ``index`` + if self._proposed[index] < self._current[index]: + self._L[index] = self._proposed[index] + else: + self._R[index] = self._proposed[index] + + # Shrink homogeneously in all directions + else: + for i, x_1i in enumerate(self._proposed): + if x_1i < self._current[i]: + self._L[i] = x_1i + else: + self._R[i] = x_1i + + def width(self): + """ + Returns widths used for generating the hyperrectangle. + """ + return np.copy(self._w) diff --git a/pints/tests/test_mcmc_slice_hyperrectangles.py b/pints/tests/test_mcmc_slice_hyperrectangles.py new file mode 100644 index 000000000..b924b1e9e --- /dev/null +++ b/pints/tests/test_mcmc_slice_hyperrectangles.py @@ -0,0 +1,144 @@ +#!/usr/bin/env python3 +# -*- coding: utf-8 -*- +# +# Tests the basic methods of the Slice Sampling routine with Hyperrectangles. +# +# This file is part of PINTS. +# Copyright (c) 2017-2019, University of Oxford. +# For licensing information, see the LICENSE file distributed with the PINTS +# software package. +# + +import unittest +import numpy as np + +import pints +import pints.toy + +debug = False + + +class TestSliceHyperrectangles(unittest.TestCase): + """ + Tests the basic methods of the Hyperrectangles-based Slice Sampling + routine. + """ + + def test_first_run(self): + # Tests the very first run of the sampler. + + # Create log pdf + log_pdf = pints.toy.GaussianLogPDF([2, 4], [[1, 0], [0, 3]]) + + # Create mcmc + x0 = np.array([2., 4.]) + mcmc = pints.SliceHyperrectanglesMCMC(x0) + + # Ask() should fail if _ready_for_tell flag is True + x = mcmc.ask() + with self.assertRaises(RuntimeError): + mcmc.ask() + + # Check whether first iteration of ask() returns x0 + self.assertTrue(np.all(x == x0)) + + # Calculate log pdf for x0 + fx, grad = log_pdf.evaluateS1(x0) + + # Test first iteration of tell(). The first point in the chain + # should be x0 + sample = mcmc.tell((fx, grad)) + self.assertTrue(np.all(sample == x0)) + + # We update the _current_log_pdf value used to generate the new slice + self.assertEqual(mcmc.current_log_pdf(), fx) + + # Check that the new slice has been constructed appropriately + self.assertTrue( + mcmc.current_slice_height() < mcmc.current_log_pdf()) + + # Tell() should fail when fx is infinite + mcmc = pints.SliceStepoutMCMC(x0) + mcmc.ask() + with self.assertRaises(ValueError): + fx = np.inf + mcmc.tell(fx) + + # Tell() should fail when _ready_for_tell is False + with self.assertRaises(RuntimeError): + mcmc.tell(fx) + + def test_basic(self): + # Test basic methods of the class. + + # Create mcmc + x0 = np.array([1, 1]) + mcmc = pints.SliceHyperrectanglesMCMC(x0) + + # Test name + self.assertEqual(mcmc.name(), 'Slice Sampling - Hyperrectangles') + + # Test set_width(), width() + mcmc.set_width(2) + self.assertTrue(np.all(mcmc.width() == np.array([2, 2]))) + mcmc.set_width([3, 5]) + self.assertTrue(np.all(mcmc.width() == np.array([3, 5]))) + with self.assertRaises(ValueError): + mcmc.set_width(-1) + with self.assertRaises(ValueError): + mcmc.set_width([3, 3, 3, 3]) + + # Test number of hyperparameters + self.assertEqual(mcmc.n_hyper_parameters(), 2) + + # Test setting hyperparameters + mcmc.set_hyper_parameters([3, 1]) + self.assertTrue((np.all(mcmc.width() == np.array([3, 3])))) + self.assertEqual(mcmc.adaptive_shrinking(), True) + + def test_run(self): + # Tests complete adaptive and non-adaptive runs. + + # Create log pdf + log_pdf = pints.toy.MultimodalGaussianLogPDF( + modes=[[0, 2], [0, 7], [5, 0], [4, 4]]) + + # Create non-adaptive mcmc + x0 = np.array([1, 1]) + mcmc = pints.SliceHyperrectanglesMCMC(x0) + mcmc.set_width(30) + self.assertEqual(mcmc.adaptive_shrinking(), False) + + # Run multiple iterations of the sampler + chain = [] + while len(chain) < 50: + x = mcmc.ask() + fx, grad = log_pdf.evaluateS1(x) + sample = mcmc.tell((fx, grad)) + if sample is not None: + chain.append(np.copy(sample)) + self.assertEqual(np.shape(chain), (50, 2)) + + # Create adaptive mcmc + mcmc = pints.SliceHyperrectanglesMCMC(x0) + mcmc.set_width(30) + mcmc.set_adaptive_shrinking(True) + self.assertEqual(mcmc.adaptive_shrinking(), True) + + # Run multiple iterations of the sampler + chain = [] + while len(chain) < 50: + x = mcmc.ask() + fx, grad = log_pdf.evaluateS1(x) + sample = mcmc.tell((fx, grad)) + if sample is not None: + chain.append(np.copy(sample)) + self.assertEqual(np.shape(chain), (50, 2)) + + +if __name__ == '__main__': + print('Add -v for more debug output') + import sys + if '-v' in sys.argv: + debug = True + unittest.main() From e43c4f9d1749274ad42e0cb1eaa8675a9b080324 Mon Sep 17 00:00:00 2001 From: lorcandelaney Date: Wed, 7 Aug 2019 21:50:18 +0200 Subject: [PATCH 2/2] Small fixes for hyperrectangles-based slice sampling tests. --- pints/tests/test_mcmc_slice_hyperrectangles.py | 9 ++++++--- 1 file changed, 6 insertions(+), 3 deletions(-) diff --git a/pints/tests/test_mcmc_slice_hyperrectangles.py b/pints/tests/test_mcmc_slice_hyperrectangles.py index b924b1e9e..42cf556af 100644 --- a/pints/tests/test_mcmc_slice_hyperrectangles.py +++ b/pints/tests/test_mcmc_slice_hyperrectangles.py @@ -58,15 +58,15 @@ def test_first_run(self): mcmc.current_slice_height() < mcmc.current_log_pdf()) # Tell() should fail when fx is infinite - mcmc = pints.SliceStepoutMCMC(x0) + mcmc = pints.SliceHyperrectanglesMCMC(x0) mcmc.ask() with self.assertRaises(ValueError): fx = np.inf - mcmc.tell(fx) + mcmc.tell((fx, grad)) # Tell() should fail when _ready_for_tell is False with self.assertRaises(RuntimeError): - mcmc.tell(fx) + mcmc.tell((fx, grad)) def test_basic(self): # Test basic methods of the class. @@ -96,6 +96,9 @@ def test_basic(self): self.assertTrue((np.all(mcmc.width() == np.array([3, 3])))) self.assertEqual(mcmc.adaptive_shrinking(), True) + # Test sensitivities + self.assertTrue(mcmc.needs_sensitivities()) + def test_run(self): # Tests complete adaptive and non-adaptive runs.