{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/claus/miniconda3/lib/python3.7/site-packages/xarray/core/merge.py:17: FutureWarning: The Panel class is removed from pandas. Accessing it from the top-level namespace will also be removed in the next version\n",
" PANDAS_TYPES = (pd.Series, pd.DataFrame, pd.Panel)\n"
]
}
],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import scipy.stats as stats\n",
"import pymc3 as pm\n",
"import arviz as az\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"# plt.style.use('fivethirtyeight')\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"SEED = 42\n",
"np.random.seed(SEED)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'3.7'"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.__version__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook was inspired by this homework problem post by Richard McElreath: \n",
"https://twitter.com/rlmcelreath/status/1177554702235525122\n",
"\n",
"And influenced by Baze Petrushev's first take on a solution:\n",
"https://github.com/petrushev/bayesian-modeling/blob/andrews-spinner/andrews-spinner/andrews_spinner.ipynb\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We set up the dataframe with the missing values as `np.nan`"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(8, 0.125)"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data = pd.DataFrame([18, 19, 22, float(np.nan), float(np.nan), 19, 20, 22], columns=[\"frequency\"])\n",
"k = len(data)\n",
"p = 1/k\n",
"k, p"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"text/plain": [
" frequency\n",
"0 18.0\n",
"1 19.0\n",
"2 22.0\n",
"3 NaN\n",
"4 NaN\n",
"5 19.0\n",
"6 20.0\n",
"7 22.0"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([3, 4])"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"missing_indeces = np.argwhere(np.isnan(data[\"frequency\"])).flatten()\n",
"missing_indeces"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Relying on PyMC3's handling of missing values, we pass the observed data _with_ missing values to a Poisson random variable. PyMC3 creates new random variables for each missing data point, which we can use downstream:"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/claus/miniconda3/lib/python3.7/site-packages/pymc3/model.py:1331: UserWarning: Data in spins contains missing values and will be automatically imputed from the sampling distribution.\n",
" warnings.warn(impute_message, UserWarning)\n"
]
}
],
"source": [
"with pm.Model() as model_frequency:\n",
"\n",
" α = pm.Exponential(\"α\", 1)\n",
" β = pm.Exponential(\"β\", .1)\n",
" λ = pm.Gamma(\"λ\", α, β)\n",
" spins = pm.Poisson(\"spins\", mu=λ, observed=data[\"frequency\"])\n",
" \n",
" # We create an imputed dataset by filling in the missing variables with our new random variables\n",
" data_obs_imputed = list(data[\"frequency\"])\n",
" \n",
" for i, m in enumerate(missing_indeces):\n",
" data_obs_imputed[m] = spins[i]\n",
"\n",
" data_obs_imputed = pm.Deterministic(\"data_obs_imputed\", pm.math.stack(data_obs_imputed))\n",
"\n",
" # We use the new total number of spins (including the posteriors of the missing variables)\n",
" total_spins_imputed = pm.Deterministic(\"total_spins_imputed\", pm.math.sum(data_obs_imputed))\n",
" \n",
" a = np.ones(k)/k\n",
" theta = pm.Dirichlet(\"theta\", a=a)\n",
" \n",
" successes = pm.Multinomial(\"successes\", \n",
" n=total_spins_imputed, \n",
" p=theta, \n",
" observed=data_obs_imputed)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$\n",
" \\begin{array}{rcl}\n",
" \\text{α} &\\sim & \\text{Exponential}(\\mathit{lam}=1.0)\\\\\\text{β} &\\sim & \\text{Exponential}(\\mathit{lam}=0.1)\\\\\\text{λ} &\\sim & \\text{Gamma}(\\mathit{alpha}=\\text{α},~\\mathit{beta}=\\text{β})\\\\\\text{data_obs_imputed} &\\sim & \\text{Deterministic}(\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{spins_missing},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{spins_missing},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant})\\\\\\text{total_spins_imputed} &\\sim & \\text{Deterministic}(\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{spins_missing},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{spins_missing},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant},~\\text{Constant})\\\\theta &\\sim & \\text{Dirichlet}(\\mathit{a}=array)\\\\\\text{spins} &\\sim & \\text{Poisson}(\\mathit{mu}=\\text{λ})\\\\successes &\\sim & \\text{Multinomial}(\\mathit{n}=f(\\text{total_spins_imputed}), \\mathit{p}=f(\\text{theta},~f(f(\\text{theta}))))\n",
" \\end{array}\n",
" $$"
],
"text/plain": [
""
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model_frequency"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Multiprocess sampling (3 chains in 4 jobs)\n",
"CompoundStep\n",
">NUTS: [theta, λ, β, α]\n",
">Metropolis: [spins_missing]\n",
"Sampling 3 chains: 100%|██████████| 69000/69000 [00:44<00:00, 1543.42draws/s]\n",
"There were 4 divergences after tuning. Increase `target_accept` or reparameterize.\n",
"There were 6 divergences after tuning. Increase `target_accept` or reparameterize.\n",
"There were 35 divergences after tuning. Increase `target_accept` or reparameterize.\n",
"The number of effective samples is smaller than 10% for some parameters.\n"
]
}
],
"source": [
"with model_frequency:\n",
" trace_frequency = pm.sample(20000, tune=3000, chains=3, random_seed=SEED)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
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jL9fKA3q6b/FM6orjNO6f7SAKmiAIgvDQobX+itb6r/g+a63117TWB7TWMa31lz1L210TC8Z2opqeXM9c5ztz39lTAX236CsgXvg9uP79Hl/UvDe7ybfOLW95jLq17oGMWOexUFjg+7e+33Ud3b1kzy06axfh4u+zUVjhO3PfIVvtruDcNcUNuPj7O1NXl3HnzRn0HJP1rXUl6A/n/pD3V96/66a8N7vJN89ufc+0kLru9oXZRwnKLbplKrt0PfwEI3f19bJhcXbhDtt542X3uTQolSxc/H1CxW32OaKgCYIgCMIdk66miXgCw1hsrGc5w77z2fib2ZsAmPZgCtp6vtoQ/PJGnopV6Vs+VUlhOzvvupar5bZ0GdKVbH9LRa13IIyNwmDuSP2UwLJpY1oOm8UaZaPp+tRPmeuor5IBs3sfO9phPrva1a1qOyx7Al7ZchU0w3Iom9u/ZlprNsobjbatFFca197RDqlK9/UxfXXbam6gnFSpSmpbVi+tdWcAES/E+oZn4UzX0gPXty1KfdzRSptQ86IfFlZ7d04fbTbg7dvKSKegcX0y1Uz/wgOw5T1TToPVViYz7/5tmxwomb5rXlh1/1buvo0DozWUUmi7SsHcehz4c5/dzvR/Jvak2hoJNlVJ9Xfx9FIBhIrueK1YBUxnMPfp0J21UBDuL/7gzNKu1f2zLxzatboFQXhwMWyD95ffJxBw5zqDKtiz7IWlHI/uS97RcbYj1C5mypyez/Cpw2McnxpqBJL4qRM/1bV8ySxxcuUkB5MHeWH6hTtqXy/eWXqHWCjGVx/5asc+jXbzmW1cgfGLsP/5HT1268F6C8qXlnPEghbFbIqReJjpyTuo/8YrrjD+3M937LqSvsLXz33E48Mv8osvPnUHlXfn3JJnAXhye9+by81xJX2Fz818DktbnF0/y9OTT3N89DhX01eZy83xxYNfZDw23vX7XXWOupXz+V/oedxMNcPJlZMcHz3O05NPD9TWa2tFrqzm+eKJSaZHWq3UDbfV3bKK9qt39jWIDsOBF+DW2wznJymMPrGt6gNePzq9LGi+zRc2d8TQPxg3X4VIEp78iS2Lnlw5CexhVFPtwOzr1FZXmE2Mk6ke7jlut+JOE1efXDnJeGycLx78YvcC3gRTuLAAyce5VjhFSIWB41vWLRY0QRAEQbgD6kEmHG8aPFvbwm2mlILNm53bq3lYu7Tl8fxrPiqGzaXlTutS1bOqlGrWQIqd5biWnaK5c/mQchWT62vu0r6+s8uOSdmwOD+7OHDo6XYNIWBXqc2fguWPoYcVUDf+6rbtrZ/zFZNi1WIhcwduhF0E7c1ijRsp1yJl90rPt3bRVVR3mFdvv8rt/O2O7XVrasWqNKyb9W11i0iuluNq+mr3tUrageUzYBmNsrPVraPS1YOuFM2ia4Hqdh+0UfIsmvWQ80Dj+lcth+VcxW3j5k333hqAvJFvWKQXM2VWc1VWchWWsltYVNpd92oF8MZ2yNrKetjFxbEeWbSHblPve6WgYPQZH9Wcux5Wazd4kbG9sbtSnu/MD9ie1L2H7rLV82Xu4gcsZctsljrv7fn8/EAWwZpd40LqQncLv3d8y8w0ym7FVsqk5Wi+d+1837Wt7WSqGdYLVW5vdul7y6BQNVn3WS4tPZgnhChogiAIgnAHtM+6dhMiWuT22dddRaKduTdg/VJD6B2ED2+lub5eIFfu/bJfvoN1DzvB61fXubQyWI6ulVyFXNkYOPR0OxPpM6zOXXSF9M0bd1SHn6tredby1b4uqYNaDN6+keLmRh/F1yi7wvWtd7bbzL6YjknVqnIh1Wl5qSv53c6hvu/S5iVuZm92TewdKSy6/bzm1v3O0jtcKfcJqNJWN+BaoLrdB20Uqq6CdmXVN5a8G+rCYp7lbIWqZbt1zb6+ZX0A7y69y9X0VQBOz2f4YG6Tk3NpTt3awkXuxsud23ZkQd5dWp9uvuoq+eW0G7xoYXvr1BZKN3hnaWfHHwCVLJtzZ1nJVbsGlrmYush7y+9tWc1sdpbb+duslld7lrmzNaatZet1rGQrvL90ltvp7Sm6793c5OOFLgpncpqrawXKKrGt+kAUNEEQBEG4IxYKnWH1t8X8ezD3VmMm+HL6Cm8uvgnAm4tvcnnzcktx27F5Z+kdXr39Kic3XsHaImiIX2CpWBVemn2p56x1xbD4gzNL5KvbD0RSNW3+4MxSixVsW2uNemy/WF7mrdz1vt9V2qFYszg1n6bUY51XLzeybtS8dAjtXykYBV6afanDmvHm4pu8k7/BS+nzfa2Fs8VzXdIw1K1SvdeSXVsr8J0LrcJpy9qfrVj+GK43lYuGMDuAYqAXTjaUx3p/XC9c5938zYEj2b16ZY0LS7lGv22n7fXxazpuGos/vHyZ/2f2fdaMPLa370bmOsVthEavj8uXZl8ia7StM7v4DVfR37jqut56XF3NM5sqUjv/TV49O+tbT6i8325bLq7d5u+99m8pGbWW/XdCtVdajuUzcO17vhPyxk5dWeyyqO39lfc5s36mdWO3ptV8kwkLJ/n4doa3r7dNnCyehqVB8ga6fVLTJu/XrnFu484iOVqOBaUUZ0//Fue9czBsh1Pzac6l5vlO+sKOOljqtr91PpjdbAnlfzV9ldcXXu/4vumY7jVZ+MANnBJwV5JZ4e27t4uCJgiCIAgDorVu5DS7nnGVB42mZjWFbMt2Wj53YNXANiG/BMVmeOdrmVkKnrtb0Sgyl5trEforVoVcZZOq54JkWFmoZluCW7Q21mks+E+VXUFrITeHU0q7rpBmpSHQbRZdxWzJv3jeNt2Z+R4UjAI1u0Y6XyRgV5ndaArfdQXAdnTD7bKlad5+vyDUHqFwvrpJoWeeNJ/y6dW/0eYmWbfalL3cXTW71nDpbCm3hSBdrFmsllwlaS67gOm7tkWjSM5zEUxXm33VbTb/SuZKx7atuLyS7xhLfUOCm9VWV8/Nm9SKm432BFQA03Yo1joVpY5+KK5CwbWO1U9npbZG1ioPpntYBsVyhZsbxWaQkwGjUJbNcvP6Wa4l7+O1c5RqFlfKa9hWU5lYM/I4unOcmY7pBtZp7xOP1cosRn18ae2WWf7YdRX0Uai5IfELxQJWMUWq0D4m3c5597abG3G1kG3ZvhVmNdeRdy8SDKAcC9soYFgmZl3x2rzRPXBOXUHrMkmQrqQb/R+pbfZWrotraK2pmBZkb3M73cU9MTMH6VkcR3d9xtUsB9vnHphx3HG2WFjsfswemI6JYRvuGMi5ExsLWTdATLHkjqF3V6/hoHG2oaL1mpjoSBnQxmq+2hLK/2b6SnMsOxbKmywrm2WojylfKpZth+ZHFDRBEARBGJiLy3nOLWVbXODWclXOL+UaisJrVzd8Vo8uL+bL34KrL7Vssh2Hc0tZ5ttca169/Wrj/0gwAkun3R9g/+obbJ79Nq+emyXXJceOXrsAK2dahdO5N7l18pu89tFlnMv/2d3vo0VOufQHrgtVlwiF9YTOr8y/QmzxbWbW3m49H2+dxWyqxMuX++cYqjo1ssYGry+83ogweCfoNq2h/unsQo5sxeBG5gZvLb7V2F9fO2jr3hEWcxWTVy6vsZpzz+ftG+u8fbNHpEPftT6/5CoV9zy0/5X/3OLuVzVtzi/luL7eVGjOLmZ5Y+5yR3TPrYTUbXP5mxxc/t7W5dpYKa7w+sLr5I3uyYfPr29SXnujZdtcqsR3L6629Pcr86/w/fnvt/SJ/xxrToXL+ffYqA5mCddoxrLNBPXtLo6NdWMD1eYSMnK8+eE/4+ULv9Oxb9/6O7x/5jc4dXt1gLDwvRW0BulZ9m28z8zamz2qUKwXalxczvee9PG4tJLn/FKuY3y/eX2D925u3vW4f+32a7w8/3LXyZNg7lZ7wweq07+21HDuLi9lixVx6fSW4zw4YORGP6KgCYIgCEIfanYN0zFJV9PcyrgKhO04nvVLU6i5CpBpOVDcwM67yllfd8G2kPmpohd0oa5oldYbipXtaFLFWiOcf7FmYXoKYrFqUawski67ArjlNIML6EJTSTQ8AUGhyJRMQpbnqldcQ6NZb7cK+F2lugh9VZ9lS1VzBJzWmXatNZglKoVsY0Z9LV/t6oZomxmyxhrFmsnS+gV0JdsZ4KIeDMIn+FXtEuVac53dUtYNGrGUrVA1bTQOm7VlQFOq2lBOUfFZH7opJO0CYV1QTRfrApam6K2NShVrLdYCPyu5SuPYdTYHDYTisZgpU60s4ZRu9Zz530its37h1dYZ+kpz7Vg9OEGqUCNTzZA33PPPlA1q7eHUAcxSw0JTrJkUaxaZTBpr/j0CtkHAN247XDaznUFJ6jSDjPjaaVtkjXVMx2gJypAz3PZXbHdMO9UVt13dMEvUtEW2bBKpZWDlrGsxyy3i+MdtW/j3zWKVWDVFtLZJ2UwTNjvX2/mpaZMNI09Amw3FLF+1mE0VCVllYpU1ynZrGzeKNcqmb7yXUhQ2l1i51bSsBM0SNceCWp5UJcVyfoHNhQtslmqEPSthtW6pag/e4aeXcl3JNC1uedcaGrJ611N//qSKrQqF1pr5wgJr+Qq3qpvMpbxrU7es5soNV+JuQUHW8lU+XpqnZJZYKfZfs7hWWmtaupX7/NsoVKl4/ZC3K+SdCqZpeO6m9Wdef0Wtfm4hqwht6Rna73u/grmQX8DWtju+2uqrX5uMXcSwq3wwl8a0vH4o1jiz5Pa9Hdh+7jYJsy8IgiAIfahaVW7nb3M1fZXL2Rz76zsytzzByF0ArgHm3mAqlWbp8B/jtSvrHBqLb1m/o7U7u5vwXuLltJvvKZGHyce4nS6xWTLIlAwsR7NeqGGGnYZIsZp+nY83TI5P/ngzOpyDb22TagRGKDsGIVoXrKcKBjWrbb42da35vz1YDi+tNZY/uMbqBUbzZdjnfnzfW8PRnrpEWUVy5ga5VUgGPmIqdYMLE23pTbLzrvvZ6JHGpqv5k0wYC3wh6oY4r5kO85tlzi5mGYmFSVUXWSzfIKCCzIRxFbzIEDzeWnXAlx6hLuPV5bPmmi3feaLJV01ubZYo1WyOdumL1cotFsutkQr9LqBbUbNsTs9n2Fj+jwAcONE9hP38+/8JgNHJA0QPdIavryveASPPe8v9XSwd7cCqF1jkyOe5tp5nNGDD6tcBUKElQnoZEhE2Suucr7VZRhdOQnIGQtHeB8kvQsjNZWAun2a+dJ14cJil7AxHJroHUihuvMK0HgKe6dgXWLvIraBihsPs23gX4uNuRMdqFvLX3FD4PhSKqmWxtnCDRNVdg5bQIabya/DIcM9mnzfmGauGeIxjjfvuvdlNJksGYQwmN0/hTIy4x/AG0cm5NDNreV58wgv9Pvs680s5qpbN2Ph06wGUF7Y+e5uNW4vs3/9znY1YuwgTPdJRqB72lhuvQPoyHPk8DLk3oh10Uxb0s3KtF6ow2vw8V9vk3aXzVNYuEo8rrMnmxEimbHB9zcAKVppaRVvdC5kyC5m3eCo/TDIa7nlcgNNrp5unhWI1X6VWs1lYKcAz8EFxllWzRsCEdWA8sD1VZiR/g0MVC2iGxk+Eu4+9VCXF+dR5VioxPp++AUcnGvuur7uTXC8G4Kq1TK7wIY/qF5jN5HghAtfWi+RHqtxJ5g4QC5ogCIIgbEktv0j++tvYpbY1WU5TUdoo1FjwXBTz5iYLpSsdM9Hd8IsyCqA+e2wbzK1nMVcuEXBM1zrWIvcotNYEHJNb6QwFo9BQMGpOkYtlV4haK1RZy+Rh/TKO1p41I9BYS6fRVOyCZ/EBSpuk5z/k929fpOZTzs4sZMl6s9AKxe10mWw+34hUuJqvspx1FYKFsmslsNHkjA1+9/w7aK25VbzQEahkxW79fNub3S7WLLf/rFpDSaxUy1xbKzQsiC39qFRje8mwGMqdI2wWcPxBOGyDxcIiV9NXyVfcOi3H4GbhTEvQlWtrBZazlUa+KhqKmnsB6tYCy2dp1I7D/OVvcH3lFKna1hE0F9NlTq2t8PbyFa6tFZjLzTVCwGsNhxa/3Si7ZUhy22SjvMG50iILmTKXVvKcXcxy3Vwm75RRXdbetbB6gUix6V66nGu6P27YOW5bG2BV0LjWkFS5h8ll7C4AACAASURBVBWmLThM/ZoX69Yf2+TN1Xk2SzV0eg6lbRwzR+D2282JgEoWUtep2WXSC67r31yqRKyy1gjIAZAszHI7U2YlW2lcl+trBYz6PWrVMG2Ha6t5d1xYBqm5M6xniwR8/ZEzUmin1tfibeE07uWNYo1C1WRy83RLmaAXCEXhBiG5WXKV3csreUo1i2ureaqWzVljju/e/h6Fud9kaP0Us6kStqMpGxaLm3kMLCKpd7hmLjfuUT+2dvhw9cNmnwJLJ7/BRsfaOJfb6TKn5tPUlKsYXaXE9dkPKKfeIF8xMSzHDSKSuUX9AZNzSiwWzmEsf5P3Ni9wpbyCY2tq2sJ2NOPLrzSeRRXTtZit+Y7fS/e7slpoWbvWEvl29bzXhiYK1fAK6EXBcceqNsqYN97k/SuLVIxmvfObJS6v5FuCGAWUgtk3uLT2MUvFpa45LLXWnJ7fpFSzKJoZck6JN1Ozjf3xyhqxavOeGcpdYS7/ob8GlqrzpGwvF5qRZSJ9hkR5kaurBd7t4SrdaGPfvYIgCIIgoFfOkioaJItzHfscrUFrshWjIaTMFc+RNlZag4d0ibDmVt6+oZkjqZxeIWQViVU3UKpTUKlvKdaslrDqN3LNvGqLmRKbq/NtwQUclrMVUKphJVosu1Y2br/LO2sLLFcLzPoU0vnNEjfWm1EM1wtV1uavtrTn44UMWmtKVq4hpN0qXeByag5LG+TMDT5a/6hl9r6oWwXLrFX26neFZifdFIoWM2XyVZNseQvFVzvEKhsMF+oKT/14inMb57iZvckZb12PpU2KVoas2bQIbRSrfHgr3VjeorVDM+pij2OaFS6un+H67PewBlhzcmYxw/u5ec5kVri8kufy5uWGpbPjdBrrm3q7cb2/fJLFWoa1QpWy4brBbjpFrpoDpFvYuOJGL/RYzlYap3nTWmPZU6JNy6Fk2Ly31tudsY6jNSY2OdO3rlBrzuVXGqHXw2aBeHmRUGm9ETBHrZ6DSprN8m1KXqRFDSTKiyifsh0x3fFc8Skx+ZpFptTs+/VCjXzNYqNQg+w8+cwmhY3Wtisgr8vcXB88F+DVtc7cZAkv4qhS7nkWLHd85SomH8xtkq9ZOFpT0SagyTplqrru2mxxO11uuM9eM5dJO0XSXdJopK0SG+UNLm1eakwULGUrHetXaUwiuH8X064ik7I2+fjGt0jn3VQHq/kqy8VldKm55u+yuUS5cIm1ys2OyYG6lTzo9HHZDbpWrW6jddmXcy5dTeM4Gq01zvoVWDzVUrbVbbH7jWfhtqeWvkl67TaljVlu1K+lY3NmIcu1LteL0ga3lt7n7PrZ5vH8uw2bTAnmNksopbhsLnEu3Yz8Ga+skCgvNT6HrCLhiv9eU6wbK9ywXFfzibR7nFg1xZXVvDsm+yAujoIgCILQj7a1Ou/XrpHPTLpv0Ow8o/kqAStAwDFZCU0xb6UYsZOErCKHSmWWDv8xFkpX+O21j/mTRz7FSCzMqfk0I7EwT8x0ulV9+8ISq7kKM/uGiVfq6zU0V1eL3PYWuoesCgowbJuAYzKRPkOxNsWk56ljO3Bzo8TUUJiozrgzvcmhhgAynjnPy8ZNxnQcpj7dOPbV1QLnNk+zXmsVVj++3Sqk/eEFt11hqwDBAxScCuc3v8+J0R8gERylG6OZi0xkz8CJA+6GXGdkt4V0GdPRpJ00dWei78x+G6ucZ6Z0kBsBk0xtnqPMNL5zqnaDF6OPATTyr4VS77FgZ72+KmEsXIepIbANagtnOO88Qix4tuXYmdoq4zHXHW2pfJ1EcJT3PC/FZOo8Zmmdzep+wqvfZXw4RFCdAHxrS7yIh1g1RrLn2Bh5tms/gJuP63z2Kt2c6i6kLjB77j9ykMONbblrbzM6eYAPgOX1iY7vrOUr3Lh+irFAlVnjJuB37dNkimVObaR54ch4Y+vqxkU3KmB8pqO+ifQZdOhgy7aQXWlM68eCCU7Np72yJYxRB8NyeO3cMj/81BFQBv/f9Q94JDRFwEnA4odcS1s4wSitq3E0KMVCpszp1/8dPPskB2yD2VSJ4pjJmK9kXRDvR02b/O7qGUZzYSaHIsQ2zgGHsLTNS0tv4aCJVTcwIs0+DFkFrlJgKvQkp+bTzAzHerpb9mLBSqHRTKTPEFyegNRJRnMliD6Bxs3pNgKcNDwlbrM1fUSwmqbEAYa8z66Sh9e/XiCfqSFeSp9nNlUiPREG0izYV/jyxGOcNK7zXPgIvZhIn4FDn6nX3rJdDX0W2Pp8Q23rQrXqPVfxhxdW8Y+qeGWNSnyGSC3DUGmRteBnWMhbrC/9B57KBtk49iXmr38AwP5DR0nUUnDk8y0TEmPZS7z0xt9pHr/tmJdyN/gcw5TtMqeu/t8cWJ9hKjIM+gc5m32DsUjTrfRjY46VmxniRyYwLYfvXlyBWPM5/+by93isehgYBQ2JjXe37B8/s6kSn2uLrN+e7uPQYmugqHbEgiYIgiAIfdCOhdkWpnux2gwqYFgOAc89bt5y3VbqC/ELToWMsUa2ukBVmy1BMhbLeRaKOfJt7mIODhXTQdVaZ33zmaaFJ2QVKeoqtk9MMY0ihpcTaj67gUKTLhtEq26byobFfDGH6VkhDG1TKle8+kqgNZZjUqo221g2LNK521zdWO/Iu+YPNpBzyijHJG+kGovp25M9J8vNoBI1u4Zda874B+0qAcfC7ObOVCtg2DYWNhuWqxRkzeaxLRw27QJL1dvUyvPuV4o3GnJoxGhVLquVIgGnRtVuHl9pB8NbUxWyyqAdMsYqlmNStUsEyhvUSjnAwdA2puUQrW1SMwxyFZOyYVFcutiwGtpW/3xy2coGym6eQ6S22ZgIuLjuaoV11yiAQtUEL1VCPUImuONr0y6wurZK2CpQMjpDn2t8OcX816TsWkx0rdDI7VU2rMY5lHUXK2DDhdZta33cr1TyLGfKBI0cN1JrXF5bQwMpu0DAMamZFiG70ihfdmoUaxZKO4DrXrZmZ8GuUTK2lyTYT9lrV65iUrMclBe+3miL1Km65BCsaZOaNltc9bpR02bjOHVW7WzDUlXNLDaE8Yo2ULjX1389a7XWvrUdTcCqNvqnV2TCmu/6Ba0KFdPmbMadGCjoCgu1NOtGgZpttbj0QW9lKl/IQzVH2bTIVUzyTmfUVkdrzGqnFUprTbFmUbRyWNpmvjpH1Spievdh/ZjxygpKO8RqacqGzWbWfX4WNhapapPbvgAzlc02i68//o1p93R5NG2HqmmzYqxQy6eYr2QoG6Y3xujIe7dqZ6maNgvpEtHqZksQn5Jhs1pynwftx6tZdos7bGd7PGt3W35Df6lA5gy9r4iLWNAEQRAEoQ+G5XA+3fpyj4Sa85tdlQqPi+YC6dIlxnOtSaeLToVL5gKXliGqQnwmcgKou/R0F85Kq99s+TxnrZMN+AJPrF/mijWJbR9quFNqDUHtCh6refdvllt8Lvpo42vKLDGSv041Ns1i5CojvmNczqZYu/FNrjmPEw02Z9njlVVG8jcan8veMYqZ99nnjBGMBVjKtwt6zXVc7yy+zZLP1Wk0dwXdK9ABrgtnffUcwOnSTQicaOy/bq1AboVC7jTTR/4sEd3sxXbPUKVgLHuZ9ETTyjRUvEXEzGNEJxjJX8OIjJNSAQrmJjWnwrDluO31DFDpskmMdSyryKblCtuJcolM2CAaGmDue/U8yWIzdPq+jfdZry6RGn+BW6kSjxkWaauZoNo/Itaq843/L5qu0vulanerJbj9vWb0zkN1K12ispqnnKixmq8xMeSOnQU7xaFQp7UOoOyFKa+HnX8jfYMnnKPkit/iVPVRDieebJQNOEZjLIQsd7yeM+cJrwUZMhZwoq5lw/EsZOG7sR34OqoxvqJQqtlo3dwZtjqVjY9rs9iaRtCZOlaboH3FXKKijY5y9cfAhdQmmaB7P5w1bvEFFcFe/Q63rOYzZL1NecpWTEYr7jOiBkRUd/F82ZencDR/FTMS5LKnaC9bGYIld7+qRjD0Bj+pmgqd08PFWhtlKsuLXKocYdHeZMnuzH24Xqg18gk2UcxvlslWDJzCGW4ToBCYJm2skigvcSjSGo1nqHjLbYf2Jgq8y3zFXAQea5TLVU0mk66dtb4ms85KrrfyPLdRZNxyyIYtEo5mbqOEDuXhYO/n89xmGTu4xpixxEYyCmHX7rdZrFGomBxL6A7X9LOLWVKGz402394mX6Qh1bkZYD79GtORx+iHWNAEQRAEYQuMtqSsqaLRNWR8L+qzqYWqxXqhyqrdFM5r2iJtF1EaYuU1glbnDHbAMSj5cvdEvFDkRX8+H8ciZ6QJlhaIVdfbq2hgYpPzEsiWDJtMse42WcbKnm6xLtR81hrKC4zkr3NtOcN4ppnMd8lKk3aKXh0V5u0NwlbviIVu+H/dMfOsfAEmorXWHFimrblg3G6EWQxYtYaw30459RYZp9ioP1pzLU/1wAGdgmZzPZPlWdUiRoaQVUR5Vr+U4+6PtYXnDlmt1h7Ddtj01kCFrCKRWobRnBs90dImF5Zy3NwosplrbXveKWPaDjXTJlFZbo2G6VGzHNZu+vLW+bqvW9AUf7GU4VoDCp51NGSVGqHnb+QWqGqDWxX33NKl7ta/JTtNyUspEaxstqRWMC0HQ1tsOgUm0mcY8Y0P1SfPHIDh16Brg68Da6fs1Fi2uidWz1dN0lutW/RRcyyuV9x7KOu0XquKZ1m8Za03rGK2z/2ypk2qvnVxhrZalLNB6LXSsN5T9WeE32JqYjfSQqxXy4TNfCNoEUCqsZastfaA4wb+WLQ3W55LUV8AjJo/CbjXiLHsJaqlpieBhYPCIuil4FixM+Sd5vEjZr6R3kNpy1u/ZWPhkMy3KmJaA9Wcl6R6a9fWaG0T29FYOA3LfsmpctNc5XL+JOBa6WPVVNv3UgS89aLlSrmlvpiXWD6wRYCdalsgl7rFfslOEfcCNcWra6yYrWMgr/tbikVBEwRBEIQ7YG2LRd7dyFdNbqfLpJzWGfxr1jIRI02svMRExl0b5c99FTFyLWtw6kJIt/xYE9nzJMr9A0NcNpuL2+sKS8gqEq2l20LKNxkqLRCySgTWz+MX8hZsv9CjWLWzJMq9LTbm5vXeYd58x2qnfQ3SSP56RxmAYmWOku68NiveTHc3Ba1xDJ+iM5K/0TiPuttXv/Oqf7+uGI7kb5AszTfcNwFubhS5sJQj1xYx8JK5yGquSqiyQay63jUE+lK2QinfVEAiW+TuammXJ4TeTrvKxnChaf1UWnPFNx56UdFGYzxYjm6xoALM202BPlrbWiHxn2HDZTDjz/m2vWTHN61VCrq7hSXtFPtaX9o5V1rkemWNtFlqBHloZ9XOdt0XVa1h5K8PEqSljX7BYACSnjWqo02elTyAYnr9HTI+pfSt1Y97h9bXrgLuVzQDWyjWAMM5Nx2HE3DP2QoOUX823LZTjYmbdmLVlBv4yGtP1GhVrEuG5QauyS9vHYGU+vPCras+eVXQVTacPIZ3747mrnTcv/XjN4aaatYXssporRkqztNK/3FZnxxbqS02AqlUtMGq0XqPbRW8R1wcBUEQBGELKl3CXYO7GHwr6m5g4AYY6YXSDqajG7PYtza3vxYnnJvn0jYFwnqkw14UqhYJqylcKGwumJ1R/ALaaibAbiNoVxsip2k7hJdOdS3Xi3bBst1FbFCKPqvncGGWwvCJlv1D+cu021kaQRq2YNZa67kvZJVIFucw1Tjp6FjXMqajyRUqJKCR/LxOze4mFPqSOzutY2UifYbc6FONz8miGwkzN/o0djDaEExLhoVVzVDVJtXB9RcA33op9/4I+dzp6msxuynK3ahhetENI76zGlxBqzhGz2O599PWddW7+Ka5yrBnMfrueveomn7a7+mgUti+62X3sQD5lVo/Vd1pxfQHmegXQTFXMclZBrPOKslAMw9j0K6S1TYRs7uVsRdzm6Uu8ynuBrseKTIYJ+KYJEvtykx32pWu9vNtD6gxCBEjhwp1C3bSv654ZZVicIJYNU0mFWPEZzm8mX+XsbZnWsbp/cz3h93fRhO6IhY0QRAEQdhFAl0CEnSjLjQv2ptblGzityrZWkNpe65U3WhfUpcq1loED9VDeAqbvXJjaeKVdRxPSinUXJeqQbEd3VzndweCm591n9UzbObvur5BqadnyKbfZrXamaphuwQco8X1aqnLmIlXOq07ESPTyFVmOZq1fI2I0Vtg75fMuJ1+ikjXur3xEHCshoXSdjrX/AzCcpd1U3VuWesNt8RB2PDcWWs+d9U6gygOcdWaqLublbtOu2Ldj6rZ2/Lrp97mdSffMmkQq26waHV7tujGvdmNbqfcXj6wzfso0Laurz3VhmU3g9oM+qxQ2uo5BgP9UgLQHD9DpcUWt+VoLdtRttVjYDAMBneHryMWtPucPziztdvBnfCzLxzalXoFQRCEOyNW7W2BGYT5O7C4daMyoCDYTsjMd90+UrhJyCryMa4QZNlOZ86mPmyn7HZJFuco+qxohr6zc98OQbu3sDiIMq+0zVj20pblIkancAk0rBy3B+jX7UwWdI36OAARI4MKutFX5tNlCl528C5p/3pSV6p64boUj/Qt46dqOS35uurUw+T3o91dtD2C5J1Sd1+8G7opqtFamlR18HFfsRyWaCrEStuoLRSgdrZal5itmAxFQy2BhAahm6tu0K71dIfubFdrPzTTnDSpdbFubsVls79rdDdEQRMEQRAEoSu67/x/KyG7uzDVXC/n1XkXRqtu0ffuhkgPpXK3qGqT0baInn56ukj5GCp1upcWuoRG717/ekswlq3oFtFvu/iT+frxj6x6ImygkTqiPT3C3eJPC7EVhcqdKZvdsO/Ev22X6GYpa1dKtkusskFwgMTs26W4jSBM/QibWz8ztnOFQgQx2f2JHHFxFARBEAShK7shWnbL1SUMTj0Igp9Br9N2lLOdotcxe7W5rrh1c9G8G7r1Wy/a1wAKvYlXd/Y61clVtm+p6sZOj6PBp6zuDlHQBEEQBEHoyk65Z93PDBoERNhhesi53RIlC8L9Qns02d1CFDRBEARBEAThnnKvLBGC8CAiCpogCILwQKOU+ptKqQ+VUnml1IZS6ltKqefayiil1NeUUstKqYpS6nWl1LN71WZB+KRzs0d+MUEQREETBEEQHny+AvxL4IeArwIW8LJSasJX5q8DvwL8VeAHgHXg+0qp4XvbVEEQYPAcaYLwSUSiOArCgOxWygOQtAeCcDdorX/c/1kp9WeAHPDDwLeUUgr4a8Cvaa1/zyvz53CVtD8N/Oa9bbEgCIIg9EYsaIIgCMLDxjDu+60ep/s4sB/4Xr2A1roCvIlrdRMEQRCE+wZR0ARBEISHjd8AzgDveZ/3e3/bM0Gv+fa1oJT6i0qpU0qpU6a58zl+BEEQBKEXoqAJgiAIDw1KqV8HfgT4ea07MrC2h41TXba5BbX+La31i1rrF8PhyC60VBAEQRC6IwqaIAiC8FCglPonwC8CX9Vaz/p21cPFtVvLpum0qgmCIAjCniIKmiAIgvDAo5T6DdyAH1/VWl9p2z2Hq6T9mK98DPgS8O49a6QgCIIgDIBEcRQEQRAeaJRS/wL4M8DPARmlVN1SVtRaF7XWWin1T4H/TSl1BbgG/C2gCPy7PWm0IAiCIPRAFDRBEAThQecve39fadv+d4Gvef//IyAO/AtgHPgA+KNa68K9aKAgCILw8DMWD5OtmHddjyhogiAIwgON1loNUEbjKmtf2+32CIIgCJ9MJoYiO6KgyRo0QRAEQRAEQRCE+wRR0ARBEAThDggT3OsmPNAcCU5SThze8XqDnmhTi0523R8JNg2u0dC9EYPifY5jhkd27bixe3R+nxSsYPyeHzOAYiTgHjcWCjCdjN7zNuwEocCWjg67jgIOjvW/hs+FH7mrYxyKjjOeCN9VHSAKmiAIgiD0xQl0f9l+OnKMR4JTO3qso6F9O1rf/UxAKaYnvrTj9YaVqzhX4l1zkLewXZFRAdmxZxlJPrut73VNtudhB2ON/9vH09HQFEdDdz7GdkMkngoM70Ktd0Yy0nuS5HOREzt+vF79mRt9att12YHeitbEUJj9I933dxtLe6H6GJGxbZWvt7Ew/OjON2ZApoOjuN7u3ZkYCpMMxHruH5SxePfcmVoNvrJMFDRBEARB6Ifq/qoMqSAHQxN3VGUv4Syu7jwpdj8rzXY4GBy/4+/awRijY80+qRurgqpThIyHxhiP7mc8MDRw/duZhD+R/HTX7TOxZOP/OxFsnUCYePJxIqq7clBMHuvY1i4UTiW7X+f28bQvMEr4LsIFxKM7b+WdCW5PMN9NRod63y9hFWqxlu4EvUR7v5I9KEa097NjLB4hEXGv+/7gWMs9Eu5ynwd899edtGVQiuPPNP6vxma2/X07EMUM752CP6RifS15QRUgHLj756hSzWefn2ps8MkWUdAEQRAEYQcwIq7A9ZnIcQCqsa2tYaPxMEcnEhyfHOKRiURXRaYf/ln256eax5sIJHkhcqzRljpjA7jexHxKogIeDfUXxLJjzzZderRmNN7tGE3RVqsgBw79acoHfhKAQB9RxG+tiQQVj0wktmx/o7yKYE79SMu2o6F9HB1tdSnsJrD1sl7U3SeVCvDpcP06T7e4aprhZMf3QsHWcwy0qIbu//GwW2Z6OOrb0308TCUjHJ/sr9jGw0HG4pG+SsrnIidahH//ePlU+CifjZxgSLX2xXCg6SK2lbtYN+r3CWztYjoa6H29xxJhosH+3z84M7NtS09fekzWAMQO/LTbrkCCF4eOokcOtbivHt1i7B4ZjxMmyJjvnPMjjxHb/zPoI3+KSvyAe5xufabq5Z8gNt1I98iJLe7drQj67s2gUswMbz2B5LcmZsee40CPCZ/pZJRHJhIcffYLjW0zbffdZyMnODb9012/f3Qy0dK+QXhicpSwN2amg6NdyyTaJjXan5nZseea+/pOLjXvOyvkXtPH9w8+FkVBEwRBEIRtMtH2Yi4NPUIlPoNGEVXuC30Qd5aggmBAoZSrKDy7b3JLK1pdiZsJjhINNYWJlFVs/B9WQWIqwoGhVqFwKLo9a8zx8OEWha0bsWiMYJuSMxwNkmwTdOxgnGgowHAsjIpOogNuW7oJcDEVJojiUKi5jkwp1WIp8NPL6ncg+XTL5zBBAvFWIambNSvQYxb9kdA+gipEMDpD0BPWq7EpnECzX7Vn8fIr29aQK1w73piItbnmTQ9HG+cW6KMEuMebYWgoSb36XtbYYAAYOUQfjy7CKsQjQVexj6swKtTsm0QgSkSFCKA6rAH1NVHRYIBEHzfDdqaHoziBAJX4AexgvKdF9GhoiiABpj1rSzlxqPP82sbCRKBTMQ5MHO3pogxQHDraWseQW7aXUlFOHOjYZoXcZ0Ew6P4NE+LQWIKZUbc9AQXhgGIqkmyI7N3Ouz6+/RZTpTVmbAIdCKN9FtshX5/7LWax4Ajj0WZfuXdRb9pdanVbnybDzb4LBRW07HcH1r5A64SHHYyhgCEVJRIeYTo46o4XpagkDgKuwhIIQGjsCMFg83yD3n0XJMCR4CQRFUInHumqTLnXv5/zcCuRoOLAUHPCJ64GWyc2FWl9hvrv9UBb7/qV5/pEy/RwlHLiICoUI5IcH9iKJgqaIAiCIPQhHHAF+KOHDja2PdK2VqwWncAORslMNN3qtFKE+rxmIyrY4WM3PRTnLzz+2RYrSjtHJ12B4XhohuPx7oEwFIpQQHFi3zAnpprKZCigSI9/CoDhWKeyFiJAbrx5DqPBZMOK08uF8pmDncLTvuEY08OxhtJRmnmRwvCjTA1HmR6ONur82RcOdV3z8ULkOD8QfZy4ivDpyLGux/XTfj3qxIOdQjtjrUJ5IhJq6SNouiTGQoGWdU7jgSGeG/sSgWCMpcN/jPTECziBCC0X0vu3fp2MyCg66Voy6kK232o3mgiTjIaaNbRVVe+rE1NDaKUoJw4QPPgCJzwLbW7sadITL3Q5+wCMHnYF6z7EAxGen/gjTJ34K6zv/3JH0BKlVEOx/3TkGMXkcZ4JH/H2QdLbNxIL9Qx4Um9BvayZOExu9MmekxhjKslf+qH/hpnhGJX4gYY1uq5A+bFCCfIjj/NE+GCLtayYPA7h5nWNBFVL+37g6I9gRJuKmBMIMxlzFc/JQJIvRJ/gJ8afblFarFCyRVECyA8/zuHEk/zoMzPuMYHhaJhkLMST+0c4NjnEkYkEk+EhPh99oqU/2mm3JivttHyuqyNjiQjV2DQA+2YOQdB9Xjw5/FmiwXhjAqmb+nJw/x9v/L+vTfE5sf9P8LNTn2p8TkSDrVZSX0YT7Z3FWGCIx0OtiutjoQP84rFP8eTI54mrCM+EjzB85E9iRNzj5UeewDr0gzB6CFCNZ0u99ufCjzQmZ5xgBOPQz3WeiFJE+lhQx9os+YfHEwyFmtvWZr7S475pMhFI8vlk7zVz6ekfaanDPwEWjwQ5MTVEMhrihROHOf78D0EoTjneOdnQDVHQBEEQBKEPWoXc9RYTTfcvO+EGoJgYijRmTYMqxGPDn2357pPhQ0wkWhf81xfJj8UjjEwcgOHOYBYvJJqRxB4PHaASP4AVSrKvSwS3amyahIrw2eTRxmw+tApnU8kIh8biBJViX9QVricSEaZiTeErRIDnI0eJJZ9i/0iUmZEoj00PczCe5FBwgsDoQcYTYY6GpigNPUJu5EkqQ0c4OnKU4Win4Hw0Osn+0RgTQ2F+8fkfY3okRiQQ4KnEQQJtQu6joRmS0SDDI63WreP7p5gcijaF5Dbr0lg83FOZnUy2Kn4vTE7z2X0zrcJx/cPYscam+sx6yJsfnwj516zVlaUkj08Pczz5PEeHnsMItwq6I0eaQUTKiSMQDFNOHKQw0gxcUbcWTAxFvfZGOTAaIx4OEj3whB4dCQAAIABJREFUXMM1cSKQ5AenPQHYd1EVrktYXQmO7PtKQ1AuJw5TGXsMgKlklFBAcWBygpGZYzwymuywGp547otunUo1rFV+6yyohgtm/fPT4cN8JvkIX5o4zlgizHgiwvT0T9GN/eNJJr31YscnhzjurQ/sqToqQCm0d8KTQxHG4mFGYxGKyeM8ETrIU7EDxDzrmBUcopg8TjlxkHLiME4g3LjPDo3FeCp8iANjcZIHnkB5FtR94dY1YMXkcUJtkVmjoRCF4cdathWG3Wv4ZPhgo61HR460lBkLJRgOD/Hpcc/dLz7Oo20uz4fG45wIzXAo6LVDw1PhQ5QSB32levSQCgCaI8FJnh55lB+cOcQXkp1BUfwupF+eOsGToYP4B1FEhZrH9442NHOCI8HmxI9O+pQvrzr/ZI3fcml7US6joUDD2JYZ/zQHn20NBnRwLN6cIAqGmTryOCOTBxvt1V1Uy9zIkx3bnptyJz4Kw482FFaAL8881dOdOxoId4z/YRXjWGiaT8Vbo8oeDE60KHrF5FHv7zEKw49yIN46Nroa+MceaXtuDebGLgqaIAiCIPRBEXBdm3yuUsef/DSaAIlIiINjcWZGYjw39iWGQqM4noAfDyQYDsQZS7gL/mPe9mA0CUrx6NgYgdGDrkUn2bpWZMhzWwurKJPBYYJh10rTbvXSQDlxkOngOMlgFHvf0401IP7Z5ZFYuCH8HEy4QkUwoHhsrKkQ/ejY06joNIFAkEeGxhiKhJhKRJkajnEkNMWBkcOMJyJMBUZRicPYoThP7P8Fnp16lqBSDEWCOMEoyhOuHotPEw4GeHp0H4dGJjk8HkcpOBHvdPHZFxzlsbFxEkOtAQTGjn6KmWS8sW5pLDyE8gk744kIx5KtSl19zdQPnWg9zmfHDjM9HGco1HRZmookmQonYXimoWhPBoddVzMVIhIKcjg21nAjdLy/zx8e5ZmDI0xEpxkJT3bIXFNTM3Dk856FLUQooKjGphvfJ5zA8aw7dQVrNBzj0FgCFR/n0P5pDo8nAIVSis+MuIKjHWpzWY2ESHpj4sVHn+GZMVcJqMamcCJuX4aDAR6ZSBA/9AxTB08wFA0xEgu3WHcPTzUVTNuzxgz5XFTDwaYVzQolqEXHGQ8OcSAyyoHoGBOJCMGAIhpxBftoULW4Accj4cbaxHg8ScSzmoZDQUIBxUyP9UCON5YCKsDEUASlXIvkRDDJsbr1WGtQkBt7BicQITi6n/z4p3CCUZKRJKPDI/zo8SOciE1xaHIEJ+oeKxBoVcasUKKhNNfR6IYLYd1Vsj4JMqaGODDi7ntkYoh4yAuF77kEf+nQlzhUH+vxMYLxCW9/mEjIXR84HRzliC9Kp4pOY482A3G0ool5SrOTdCd1wirE4fh+PnfgMzw2NtZwv4uG3b55ato915FYiGfGpxgPJhtj8MBoDI1uOb4OxtHxcaaCrqUxHAgwNNVsTyTknltsdB8Kzb7ACHY4SdizhOZGXSVqMh5vuKCOHnycg8efJuJzxTw4Gm9MdiTCCX7qhT/PlLeG1ow3FS0/dije6pEQSTIZTTATT2AHY+jhJxq7jjz7Mxx//r8mHm46ISbCCUhOkwxGGYmFCXptHo2FORrax/7gGAfGHmlxCQ6rIMqndRmRce/vGGZ4mImEez/WXZcVimQgCjO+KK/DTQX3xNjgkUXvPDSQIAiCIHwCCKoQjyY/w6Gkwby3bWo4ztAP/AQTa+9BBg6PxfnCzBTnFnMAfDZ6jHziachdbdTzc8//NIX4FENj05SuKI5EIjiHvsTNWhqrVuaxUOe6l7rL1tGpJKpUY1w5ZBLjxJ0JKG02XPFS+34I9egJnlj7iMX1GqqoGB7yue0d/AxfKZVRSvE9HSA/8hiMhnhWJ3mfFZSiIYj8/+y9d5hkx3XY+zsdJ+e0OWEDgF3sEokEQYIASYgkSImySMkKlk3bpGzLtvxs+UlPsp5EBwX7kyjLlORnSu+J/hRMJYuURIkBBAECRFyAAHax2N3ZMDs7s5Oncw71/qjbPd093T09Mz1hF+f3ffeb6XvrVrqVTp2qU6f29LBzci/xXBq3MzD2uDt5276TRMbjXIokOdBxkqMjrRzqdwZTvnYGO/M8eNv3cmniawD4XR7e2XWIzuLArPrM8V27esgbw8uJRdo7u9kRn+NIVyeZ/Q/hHtyFmzba0mdg4RuAiz13PsiZ6/N0h9608W3fw+uLYcJdR+kKX+Cx3UdIksLv9gMxoh0HOeadKoZ3oGM3fTu+j4zAB9vGcYkQ3/UgX3rzaZLZPMfv/SR9HUkuvPonLJoIg+1+Rjy9zM1OE64YPL/v9iFS2Rxnnq9edk7u7iEYz1C6EivUdRSGhollw2RTcXaJ4cGu22gbOAJtAxCwg+B3dB6ko6uVzL53483HwJ0mkssvC6M4BBWrlXk0f4zXux5gJveyLTst/VxLLlAYeZodp2DypeL7s0PvQkQ4saubM5Mhbu9+Bw8dvpfBxTMsxtKEu46yz32ReCrHQt89DA4dYlfXneyc+tqyuDxybICnkyO4UmF6XW2MJwfobjkAvGYd9B2C9gEkZOPc3+7Fn/ZwwD2MDL6Xa/E38YfPV/hqrEZl59vA5GAywczQu7m39Q1Menme7+pp5VT/A+zr7cfjHiIxdAoufI0jbcNkOnZyhUtFXw933oM3NMZ0LsipXYP4WnYRSl+BuN3PGdn1EGb8WUJdRzkw3Eu/y8MHDj7CxW+EAWjde5JjeR+3DXUg0sltrbezMz0Kbh907YDQxFLEDjzEHUOnGLz+Op7EZfqH7+MbmVa6Q+cgdRHj72Ch+24GXX7u9u7FI27SHivwPHCon3u7HiI8+yxX8wlM5y6YCy99+933kfLtJT9tv/G99/wAMvbXDLd0sqO7pWj58chQJ5fcnYS7jnDQO4kkpUxblWvpBxYRhIyvm/aDd5Mpydvezja8t91NR3sn164W6pQ9p+0O7x5udNxFIhelO3UJj9vFew4NFpe19vgGOdRxijw5YLLo5/0j9+N1eaGtD1xHObizk/m5IfYuvlZWBgCGu1qYDMfx+Qa5784fpm/sWfbs7OGPE/to9Q+Rjb+I3+ump3eILjNA/8jtPDE5xkTPPg7f8QgErts2s3sPknY01O0+7mkfwgBdrT5mS0INDT8MB4cZThxhMTkJuYWysnZ4uIMzQR/h/DHuiExyom2Qg3f8HXrcLs7OXyKWS5WX5HobQitQAW0dfOnVyZUdrYGPnmpsfapy67FRZQq0XCnKeujw9jDSYWev231u8HfQ7wNmbScvIvR3+Dk42M7MFeFgTzdnTWEJj4+9ng4GdhxmoMNZ5tTeDdkUuP3c3n87+Ppg7OlieG29O2DqLGl/D6QMe/uOEG+5QWtwgkD7AO7MPogtMDx4HK5P0+ofhJYu3C6hpbWVHlc7yd6jkL8M/k6GOnfTlpsFDCTtXho6uvDFkrSIl+62peGAx+3C2zFMd2y+eK+rxQvtw/R42vC60/hcLRweGKa1sD+rcweudJQDQ4cIzPeTyWYBu9SrSGFZY/9t7E62MR+1gxefxwUuNyQAXwetXjddrV4Ysm1Wvm2AwdZDBHiCPTvvo79ziJnoWVIh8Lnc+NoGMBIj67Gage4WH91YIaezxcPQ4F583jbIOdEQaG/bx66eVvyRG/YdfzdtPhfhJAz29tLd5uVgRx+BaITewds5EZnim7PTS2lwaPG6i5rJtK8bX9oK6F3+Lnr8PYyHxxns9LMQs2n1u1oZGmwDl4fBrjauB8DT5qE75ykKL67wKF2+Lvq8cZs/vSM20uGLdLREiKZt3uLrgPQiBaWPMXlcIuzr7uS8q4Vev82DPk8711igv32YhVSQg4N3cH7qO+x3DvLOOPuCDg52cGYyxB0jgwwPt0HgLKHuY2QkiisrtHhdJFv6OTjUyY7uVkjvh+D4Umb4O+lqacHXvQPmIxzuGOTJvJ/u9gPgmWYgHmC+tdf5Bi67787XT1coTtbTjrd9P9nsNH6WRPmyAa3bpsclSdq7+yENhYF7i2Ogo83ThUuEY8MFLYwbr9sL7YN4Y3P0t/bT0+YlGISBdj9tuS7oOAah59nR1cdw2zC7BgNkF4YYdC3SOrQDxsHf1klPhy3LA23dTLqtxhBvOye6DxQnNzo9Xfb/dqeedzv9rq8TPD7augfY57kLrixC9x6yM4niJEze1wmOgY0R55t48oOFYsuuri7yi34QD63Ot+1wtdhtYS43prUPsALEvsFemLf+tnk9RU1ke+8whGFkoB/CS+ONLlcnIRPn0GA7Hcb6MdLTCd4Wdvp2c87XQ0veCqV7Bg8QSAYAQ6ffS97lIdpxgJ70DBFvP53efrpdY9B/Gz1t5UsJO7y95EyWgoB2e//tVrNlSwW09OAFkv5eoh376YiO2aLlbufwUCen4juZDF/i0L4HGezcCeLC7fbQ6xsm77JLoQuacJe4GPS3M+DqJt3XQ2/7MBgXuxbOs9jWjz/b7pQdL50tXvCXa+9zLh8ZXw+0D+DzpZBcBC8BMrk8LZ5W2lw99Lb56Gz1EEx42OnbTa/Hg/ja6Pe1s9ffx5vxqTI/B9sG6fI2djSLCmiKoiiK0gBDrUPcMdRDMp+xg8WsMzvqXRJC9vW3s29/HwuhSFEgeGzv+2D3/VC6fKqwTM/tLJvsHIYTH4czfwZAy+GHOOjPMTqdZXLwHh7dMUyL18Xrc69D1AoVk7s/zN0Hd3IyegOv21VcMuT3dBLd+/2kezpg19so7goqbHUrTAS5PLhP/gCfPPkDEJ3jyotfXorfwYft33N/af8e+wh465yv1DEArb2Ix8/9/ccxVSzqIQJ73g7Dd3K3MUtLiU583D6efBZSwaree92tHD32b9izzy4F3d+9n29EX7fLAw+/n/sOw9yVv4Ey65rCw0eGeGqinUTWBbRCzA4+ixNWZ5ZcW2MhHrqdvSvD9/yjYt4duvJtor7DBOocgxDtOMDJ3kfYA7xrl/W/zdPG+cXz7GjbS1fvCCHOMtBlC8ZwVwvDzhI5Di7t3frggQ/afxb/bFkYR0c6nawUXPsfhMAQzFttT75g2MTr5qMndvE3V6wGQo59GGZewePx84EdH8DtcnOw/y7oyXD62mKZ/2UTeSc+TvTVSYi+hohdKvm+Ezvp8Dn7FvfcvySg7Xk7gNWE+Ow3GGkb5LjrFC5x8dipTwLwt1f/FmMMH7lrhK+PdUE8DSZeXDpWufeomr7h7r29PHxwCOLvxZy2WtRDHdZQw+HOe3jn7ipW8g6+BwBXdJK+Nj/Hd+6is8VLX87HWOYIi+4kAHu79vKJk3vJ5w0ul2CM4d59ywfUJ/dY4ef4wfI9d4XlvcXNSF07i3lTpH2gWOY/egqee+5KlVRacs6yyVze0X4aQGBv5y72DrWRmqnUNi7FBFhqXwCOfwy3y82H0xGenrhMe2xp72bv3r/Hw/t3sLe/DWbc3L23l2A+DAZ2dezh0J5/yOX40+zEary+OvZVTu3uZU8oyYnBATj0Xsjnuf66FUi67//h5TGqsILjcrk40H1gmbsCoZ47CfXYpYLff/chwO4p/Bf31UlvBW6Xi/cf2IPrLscwSu8+9tz7Y+wB/vSVy+WOj3wARr9eEn7FUlOnDvR59/C9d97LcJf9Ng+OvJ838kEk+ZR159TDAy0DHGgZ4CviIm/yfGC/rXv7O+4iNv8CvSvIaSqgKYqiKMo6ONg2TPvgiaUbIiCQ8g+S8g/A8PFy4aweA0fA30mLu4WR9hGSbUsCRzXz6y6XsKunlT19bbR6/Ay3DzPiG+H6/DKnRY7v6qaj4wSH+sv3/ezsaSUR8zFcanSjikByaLCDVHcrLSVGIwQpGnWQoWNINgnRGfuw3+55u633NmfZoRUwKr0+PnicZyaeqR3xFczPAzB4DNzt0NIDHn+5Wf7hO2H2PHQsN8oCcM+hDzPrCL+V+NxCf7uf9t426C4XPkWEXt8wvb4R7trdQyqbKz4rfLPBDj9t+HnH8P2MRy8xF59bOS0HHoLFqzUsD8Cezj0EU0FOHruPr178DncO74VWF2STNb10F/Zd7XsQrjzJ8LEH6Oiof3Dwztbb8PoX6Hb5afdWP/fpSO+Rot9vGzzJ4qIV3Pb1d7CrxArgfSP3cT1yHU/BemNLD7t3+0i330EgAfva7yS/eAY/XkDY6e2h052isLDz5NBJQqlQ0T+DWWatrx5DbUMM9B/lSFsMBo9CLEqHp4cj/bu4vW/pSAbXak5EL+Ho4SOYawu2zjscHzhOMlf7m9yxo5Pz8258HhfZws3977LCr7OibrDDD2YfO3pvY8rv4bbe28j5E4ylgvSN1BZyMIb7Og8wnlpY+vYOMnAUglZAH2j3s6NnaQLGLx6GW/o5OHw33T4fQ50tZFrttxcROnwdRFOR8rBcLu7e20sokWEtHOw5SN7kiWfinOzbxemxIEeGO+seE1FMpvO57mrbQ8Zbsqxw3ztxhavX6Tt2dBN1tYEZgr3WSA6dO9jTt8Ax7yku+cqtvfb7dkIuSp97N56S9nxffzvjCwlSO++jp2u+OEFRi1N7ekkF9xD2Vp+MKqACmqIoiqI0QHGzuLt8QHisfTd0llhx87bicUXIu7x03f4+8FfRJnlbIZNYLnTssCauBbh7+G7m56dJZJYG/NWsm927f2kq9p7he7g0GwVCy9wVODTYwaHBk8vut3jd3LmzC1Y4/LfD7+H+A3Wmf/2dcODdRW0gO61240jvkdrvAF0+xwR6xUCycMZai3fpfs29HC3dcPBDZbeKeebrsEJPDYZ330+tY33F08KhwQ7Y3Qedyw1a7G23s+0HBqoPzjwe4Z2HrGZnuOM+nr3xLMFk/QEaHUP2qkKbp40WTwv3jVh1wj+697vsg/4lk+B+t59ULoXHMRzhc5UsN3O0OOW2B5fjEqHF3c6jx3+0rrvbepes2e3o2MmOtp3gbeXuveX7KgdaBxhwDGcc7j3MaGCUnsMPsqdzDxOvTtLm6WKXd0mL53N5ONK6n/NYgXZXxy52dSw9b3F5Gep0kyypR9UOHi/gdXm5f/eDxd9+TwKXuPnQbe+iw7dc0JM6GtNq7BvshsEPlt3b27W3hmtLd6vX0aSW1LvOEXstWG23Pejch/e291LUx3W1cvxd31N8pew4hUJ+eNvoFxf9JYK121mm6+/ejenwQXSKtx/ow+Ve0uqLCPcMnoQW+/0eONTPszf6CSaDCML+rv2cjSztQSuwp6+tZpnqavUSTWWLrlvd5YecH+s7VvZ716n6gk41Rnxd5csqu3baqwqHBju4lmgBz6GlpajeVlq9Ht5/+yliN8onLjwuHye672U2kixri/weN++/YxiqtR7iotXTSiwTK97aP9AOAz3gXX6mXll49ZOqKIqiKModO+z+LgaPgmuFrnPfu+gemOWuXL9jia8Ke98JsVkrqNWhMEBcxd7y9bHSgPTwd0Emvvy1Bk1Hr8RDux8i0X8npcOT7lYvb9vTy0h3tSWWS+Hev+P+ooau6ew4Ca09VY9EWAtvG3obr86+yu19t9fVrtR6t7el+kHKpbxz1zsJpUIMtA5wYuAEOzrqDwir8d5jQ0SS2doO9r0T/BVnn3n8dvlje3XhssChnkP43X52d+yu6w7grr63c2zH8rp0X+d+Am4PHbftJJLMks0ZetvrH6xeyqk9PYx0tRSXtTbMgfeAu0lDaGN4e+dBPEN3kOrsX9rXic3/RDpX5+UlBkqP4HB77NLK9gEweUgsTQa0eds4OXSSwdZB8t0pgjPjuPwledt/mxXw+sotDp4aPMVCcqFEaF1do3RiVzc3glYgbrQMN45zJltb49++SGkyCmnuPcB7u3LFvH/f7cPEUll62rzMhlNl553VxKkbb3d7CCQD5RrMve+A1vprHFVAUxRFUZQVKB7W2ta/tISsIAx0VsycelugZy/lC2So6mYlhrv8XJ3P4l1Bq1VKV6vt2lczUC0KipWD6s4dEBhb0mq1dNmrgqG2IW5Ebyw7aHfZ4H0FOnwddPiWaxz39tcQdEsYqGK+vxC38fC43R9VSfsAxOqsBy3gci8bsDZCIS09/vKjAFo9rTyw84FV+dXl7yKcCjcsaLV6Woum3/d0raQrq06731N/MFpDO9FI2XaJq0y7NNLVwnQ4ic/tIp3LQ2svrV4PGbo41NPPQGuFRsXTQovLy46Bo9DiGHpYJT6Pq6GyBdDX2sdiwtmz11H9YPS1YayGy9sBXeWTEJ1rSFfBaiI9Jd+8YtldUQvZ5mPkwJ1lzxAp08QWaPO2lRj0ANw+KxZ11NI7l1OqdVrLZEFVevfD4hWMuGj3ecDdAeloQ69W1Y6WpL2zxVXM+w6/p5ive/oaKy+FutFClfR2rzwpoQKaoiiKoqyAq1pn7muDo4+tqAVbD8d3dnN4qNNaOizhkaND7GivPsgZ6mzh/bcPNzbLW8DfAUc/VGbwBICdd8PQHcuWdVZy1+BdHO07Wj5LfOwjK2sb10i1pZ61uKP/Dg71HLLW/CrZ/27IVbHVvko+dLz6txhoHeDhPQ+XD2zXyAM7HiBr6mizbnLu3d9HJpfHc8ffI2cM+FvpOPER3kVL9bK8CfWvlPuG7yOTX9v+qsZYvxb6A3eO1F3i2SwMBjwtVks0dPvKL2wUO07CwGE+4Gpz0v1+yN8adUQPqlYURVGUeghFU+pH++y5RMWldL62lZcFrgOXS8qWPO3p3IPf42ewrW+Z0FbKqoSzAr725WlxuWwaV4qns9eiDG9L85aBVVDI/2OtKy85rBq34kN3Uwb4Po+r5vdohnAG1sDHhi3h3Aa4XUKL143H14Lf73wTf0f9srzB9a88fm5aPHUsma6VbkfTVUsbuQpavG5nv9rGMthqNYi7ew+vKv939rQy1NnEPHS5rVGlQrrdnvrWZquwmsmezUQ1aIqiKIpSh55Wb9GqW6WRgs1moHWA9+1935aFv11wiYvH+k6s7FBRtjutPUWz+zcLbd42Hqs4YqAR7tvf2Blgm0Fh3+xqDcFsFiqgKYqiKIqiKEoVjvUfo7+lf6ujoTQZn9vH4d7DNZeKbzUqoCnKW4wvFQ6pbTJlB5wqiqJsBv76Z3gpyno52L164zDKzcHh3sNbHYWaqICmKIqiKMrNx8FHqp8xpyiKcpNzywpoqiVQFEVRlFuYdl12pijKrcktK6ApirJ16ASJoiiKoijK2hBjGjcvKSJzwLWNi05VBoAGTpHUMDSMt1wYt0IaNIy3ZhiV7DPGNPPk16YiIhHgwlbHo0lsxffdCG6VdICmZbuiadme3Eppqdn3rUpA2wpE5LQx5l4NQ8PQMDbXfw1Dw1Ast1Ke3CppuVXSAZqW7YqmZXtyK6WlHnpQtaIoiqIoiqIoyjZBBTRFURRFURRFUZRtws0goH1Ow9AwNIwt8V/D0DAUy62UJ7dKWm6VdICmZbuiadme3Eppqcm234OmKIqiKIqiKIryVuFm0KApiqIoiqIoiqK8JVABTVEURVEURVEUZZugApqiKIqiKIqiKMo24aYQ0ETkZ0XEiMhvNtHPMcfPyuvL6/DzIRH5SxGZdPz6RMVzEZFPi8gNEUmIyJMicmeTw/iPInJeRGIiEhCRb4jIO5sZhuPmiIj8bxEJikhcRF4RkdublIZhEfm8k09xEfmKiBxeZRp+RkReEpGwiMyJyF+JyPGS514R+c8i8rqTV1Mi8kcisrdZYThuPl+ljD3f5DA6ROSzIjLhlKsLIvKvG/T/nzt5EHau50TkwyXPv09EvuqEbUTk4Ubj3mgYFW4/54Tzb5sZRo26bkTkt1abnhI/l7VLzajjK/i/7vq9UhjO/TXX71sJEflxEbkqIkkReVlE3r3F8WlKmyMifqfNmHfK0l+KyO4KN3sd/2OOu/8mIr4mpuXTVeI5XfJ8xbokIr0i8vsiEnKu3xeRngo3J0TkKcePSRH5eRGRZqXDCaPueGKltDYzvWuI+7rHLc36DiLyMRE5JyIp5+/faVZapME+30lf5bf6wkakd61pcZ5vWj0XkfeIbf+SInJFRP5po+loMC0r9s+bmd7twrYX0ETkHcCngNeb7PV9wI6S627AAH+yDj87gLPAvwISVZ7/FPCTwL90wp8Fvi4inU0M4wLwz4ETwLuAq8BXRGS4WWGIyAHg247f7wWOAz8HRNfrv9OAfRE4DHwv8DbgGvC4iLSvIg0PA78NvNOJY9bxo8953ob95r/o/P0osAebV54mhVHgccrL2mNNTAfAZ4APAz8K3O6k6VdE5Ecb8H8C+GlsHtwLPAF8UUTucp63A88C/2YVcV5tGACIyMex9eLGBoSxo+L6buf+mup7nXapGXW8nv/NqN91w2hC/b4lEJG/C/wG8EvYduhZ4G8rB3SbzMM0p835r8DHgB8C3g10AX8tIm4A5++XgU7n+Q8BHwd+rcnpuVARzxMlzxqpS3+ErfMfAj7o/P/7hYci0gV8HZhx/PgJ4P9kfe1ZNRoZT9RLKzQhvWukGeOWdX8HEXkA+GPgD4FTzt8/FZG3Nyktq+nzf4/yb/VPKp5vRrlb6bvAJtRzpz/4G2z79zbgl4HPisjHmpiWRvvnm6Vdaw7GmG17Ad3AZWxH9CTwmxsY1r8DgkBbk/yLAp8o+S3AFPDvSu61AhHgnzQjjBpuurAdxQeaFQa2cfrDDcqnI058T5bcc2E7hU+uI5wOIAd8dx03dzhhn2hWGMDngb9uRl7VCeMs8O8r3D211voCLFaWSWDAyZuHm5SOsjCAfcAkVsAcA/5ts8OoePY7wIU1+lu1XWpWHV9Nu7fW+l0vjGbW75v5Al4Afqfi3ijwy1sdt5L4rLrNcb59GviRknt7gHyhHGEHnnlgT4mbvwckga4mxf3TwNkaz1asS05bYYAHS9y8y7l31Pn9z4Aw0Fri5uectkY28LuUjSfqpbVEbeKkAAAgAElEQVSZ6W1CvFc9bmnWd8AKZ1+viM/jwP9qRlpquFnW57Nym7vp5a5aWtikeg78Z2C0wu/fBZ7bwO+yrH/erPRup2u7a9A+B/yZMeaJjQzE0dr8Y+APjDHxDQrmADACfK1wwxiTAL6FnQ1tOo7a9sewDcWrTfLThZ3dOCd26eGc2CU3f7cZ/gN+52+ycMMYkwdS2EZwrXRiBb1AHTddzt96btYSxrtEZFZELorI74jI0Br9rxXGM8B3i8geALFL3k4BX1mNxyLiFpEfxA76nl1HHFcVhjN7+b+A/2SMeXMjwqh43gH8ILYTWAu12qVm1fGG2r111u+qYWxC/b4pcPL2Hkq+pcPX2KD2eo2spc25B/BSXk6vA2+ylLYHgDed+wW+im2f72li/A86y56uisgXROSgc7+RuvQAdrBXWse/DcQq3DztvFuajp3A/iamo0id8USttELz0ttsNvM7PMDy+vZVNra+1erzf9BZ/vaGiPxqhbZwO5W7zajntb7LvSLibV5SLCv0zzdLu9YUtq2AJiKfAm4D/u9NCO5RbEP0uxsYxojzd6bi/kzJs6YgIh8RkShWyPnXwKPGmMpw18oQduD7s9iK8Ch2cP2HIvKRJvh/Hruk8ZdEpE9EfCLy08BurEp7rfwGdhD7XLWHzoDs14C/MsZMNDGMrwB/H3gfdpnI/cATIuJf/vqaw/gJ5964iGSw2rOfNsb8dSMeil0rH8UKwf8P8HeMMWfWGL+1hPHvgQVjzH/fwDBK+WFsg/w/1xBGvXZp3XW8kXZvvfV7hTA2un7fLAwAbjahvV4na2lzRrBat/kKv0rTNsLytM877zUr/S8An8DOan/K8fdZEemnsbo0AswZZxocwPl/lvrpmCl5thFUG0/US2tpXNab3mazmd+hlpsNSVudPv+PgB8BHgH+I3bJ3P8ueb5dyt1m1fNaafFg28lmU6t/vlnatabR6F6bTUVEjmLX/b/bGJPehCA/BbxkjGmKlmkFKk8Glyr31ss3sRqUAWza/kREHjDGTDXB74JQ/yVjzGec/18VkXuxe2MaEgpqYYzJOGub/19gAVtxHgf+dq1+ishnsNq3dxljclWee4A/AHqA72lmGMaY0s3FZ0TkZawA+mHKG/01h4HdG/CgE/drwEPAr4rImDGmES3aBWx56cF2Rv9TRB42xpxdTfzWEgbQjx24nNqoMKqk41PAF40xc6vxfBXt0prq+Cr8X3P9biCMDa3fNyGb0V6viQ1ocyrTViudTUm/MaasTRe74f8K8A+Awub/lfK/WlxWciM17jeLZeOJFdL6mZJHzUjvRrBZ32FT6lu9Pt8Y87mSn2dE5ArwgojcbYx5pUY8q8V1Q8vdJtfzzaxDVfvnm6VdaybbVYP2AHbwcVZEsiKSBd4D/Ljze63ah2U4KtKPsvblTo1SsNhUKaUPsVyiXxfGmJgx5pIx5nljzD8GMsAnm+T9PHZj+rmK+28CTdk8b4x52RhTGGjvMMZ8EDuQv7pav0Tk17EbQd9rjLlS5Xlhed1dwPuMMQvNDqMUY8wNrEGL1VqlrBqGiLRiN+3+lDHmr4wxrxtjfhP4AtCQJURjTNopL6eNMT+DnZFvyApko9QJ4xGsZnSqpK7vA/6ziKxKk9lIOkTkFNaIyFrqe912CTuhAGuv4w21e+us342kYUPr901CrVnVprfXa2Gdbc40VjtYOftdmrZplqe9llaxKRhjosAbTjwb6S+ngSFnSSFQXF44SP10FJZFNT0djY4nKtIKzUtvs9nM71DLTVPTtoY+/zS2LSj9Vtuq3MGG1vNaaSnt85rCavrnm6VdWw/bVUD7ItbC0amS6zR20HkKuxGwWXwCuyTqCyu4Wy9XsYXj0cINEWnBWpLZkP0+JbhY2tu1LpxZ95eAoxWPjmBnM5qGMSZkjJkTa2L/XuBLq3lfRH4Dqy5/rzHmfJXnXuzG5LuAR4wx05Vu1htGFfcDwC7sxutmhOF1rkrNYI611++mlZcGwvhtbP6X1vUbwK9jlzI0I4xSfgxrhOTxNfi3Urt0kfXV8bW2e6v5Xo2EsSn1ezvjtHMvU/ItHR5l49vrujShzXkZK9SXltPdWOMHhbQ9B9wu5SaqH8X2lS+vNw014tkCHHPi2Uh/+Rx2Oe4DJd48wJLl2YKbdzvvFngU28aMNT0RDY4nKtIKzUtvs9nM7/AcG1zf1tjnn8AO4AvfajuWu42s588B768I7lHgtDEm08w0sIr++WZp19ZFpdWQ7XqxAVYcsarPi1RY6lqHfx0sDXriwM87/+91nv80dkP/92FNV38BW2E7mxEGdsPrfwLe7vy+B/j/sIXvriam43uxA7kfw+5l+RS2Yny4Sf5/P1azchA7GzkG/Pkqv8VvOXn9XuyMSeHqcJ57sIPVSayJ3FI3rU0KowP4VWzjvR9rIvs57KxPQ998pTBK6sZZx/8D2EFCAviXDfj/K9jOdj+2I/plrJWjDznP+5xv8zB2CcAnnd8jq/gWdcOo4n6MVVpxbCQMrJnlECUWyZpQ55+k3ALiuut4Lf9pUv1uIA3rqt+3ygX8XScfPont5H8Daxxg3xbGqSltDvDfsW3f+7Gms7+J1Ti7nedu4Az2uIq3Oe4mgc82MS2/itXeHnDK9F87advnPF+xLmGXvp8B3uGk+Qx2T1HheTdWwPiC48f3OX7+5AZ8m5rjiZXS2qz0rjHe6x63NOM7YA05ZIGfwQqvP4Ntd97ejLTQQJ8PHHLeuRdbfx7Drh54BadubFa5WyEtm1bPsWU2hjVhfzu2PUwDH2tWGXPc1OyfNzO92+na8gis4gM/SfMFtEewg877m+Tfw45/ldfnneeCNbc7hd3g/xRwvFlhOAX8L7CNZ8r5+yVW0cA1kg7HzSewnVECe47SDzUxn34CuO40AtewG3V9q0xDNf8N8Gnn+f46bj7RpDBasRaCZkvS8nlKTLyuNwzHzQj23JZJ53ucxy5vXNGcrxOfa055mcXOXH2g5PknVgp/vWFUcT/G6gW0FcMA/iF2ALCzGfXd8fNJyoWbddfxWv7TpPq9UhpKvvua6vetdAE/7pTHwgzrQ1scn6a0OUAL8FnsEqU48FdV3OzFChJxx91nAX8T01IY6KedtuvPgTtKnq9Yl7ATSH+AHfyGnf97KtycwFodTDp+/QIbYGKfOuOJldLazPSuId4P1yhTn9/s74A9k+q8k09vAt/XrLTQQJ+PNcv+lFPeU8Al7MRM32aXuxXSsqn1HDu58IqTJ1eBf9rMMua4qdk/b3Z6t8tVOH9CURRFURRFURRF2WK26x40RVEURVEURVGUtxwqoCmKoiiKoiiKomwTVEBTFEVRFEVRFEXZJqiApiiKoiiKoiiKsk1QAU1RFEVRFEVRFGWboAKaoiiKoiiKoijKNkEFNEVRFEVRFEVRlG2CCmiKoiiKoiiKoijbBBXQFEVRFEVRFEVRtgkqoCmKoiiKoiiKomwTVEBTFEVRFEVRFEXZJqiAptwyiIgRkU9vdTxWi4g87MT94e3sp6IoirL90L5vY/1UlK1AjDFbHQdFaQoi8g5gwhgzsdVxWQ0i0gXcAZwzxoS3q5+KoijK9kP7vo31U1G2AhXQFEVRFEVRFEVRtgm6xFHZckTkiIj8hYjMikhSRMZF5E9FxFOyXOFjIvJ5EQmISFhE/lBE+iv8KVvmISKfdu4dFpEvi0hURK6JyM+LiKvEXYeIfNYJNyUiMyLyuIgcW0UaxkTkD0TkR0XkgogkRORpJ+x2EfkfIrLg+P1rIuIpeXfZkgwR+YCIPCsiISfeF0Tk5xvJszp+Pikiz4jI+0XkFRGJi8hZEfneKun5IRE57/h9RkS+x3n/yUbzRFEURamN9n3a9ylKLTwrO1GUDeevgSDwz4B5YBfwGOUTCP8VeBz4IeAw8EvATuCRBvz/C+D3gF8Hvhv498B15x7O/e8BfhYYBfqBB4GeVabjIeAQ8NOAz4nznwNXgEvADzpufg64DPx2NU9E5CDwl8CfAf8BSGPTfLDEWSN5Vo1DwG8Av+y895PAn4nIMWPMJSf8R4E/dOLwk8CAk5YW4GIjGaEoiqKsiPZ9JWjfpyglGGP00mvLLmwDaIDvqfH8Yef5Vyru/4hz/30l9wzw6ZLfn3bu/cOKd88AXyv5fRb4zDrTMQYsAt0l937CCf93K9y+AnyzShofdn5/3PndtZY8q+anc+9JIAMcLrk3BOSAny2596yTJ1Jy727Hvye3uszopZdeet3sl/Z92vfppVe9S5c4KlvNAnaW7VdE5FMicriGuz+p+P2nQB54oIEwvlzx+yywt+T3S8AnRORnReReEXE34Gc1njPGhEp+n3f+frXC3XlgTx1/XsV2Jl8QkY+LyFDF80bzrBqjxpjRwg9jzCwwi5MfTtrvBf7cGGNK3L0CXF1FOIqiKEpttO9bjvZ9iuKgApqypTgN4aPAaezSg4sickVE/lmF05mK99JAALu8YSUWK36nsEsWCvxL4H8A/wjbYc2KyK+LSFvDCbEEKn6n69xvoQbGLrf4ALZ+/j4wLSIviMh7nOeN5lk1KvMCyvNjAPBiO65KZqrcUxRFUVaJ9n3L0b5PUZZQAU3ZcowxV4wxfx8YBN4GPAH8toh8qMTZcOk7IuIDeoHJJoQfNcb8jDHmNmA/do3/vwB+Yb1+ryNO3zTGfBC7F+D92FnFL4vIgPO8kTxbC/NOWJUzl1DxDRRFUZS1o31f1Thp36coqICmbCOM5VXg3zi3jpc8/oEK59+PLb/PNTkO14wxv4Zdq398JfcbjTEmZYx5AvgvQDtwoOJ5vTxbS3g57Ozkx0RECvdF5J7KsBVFUZT1o31f1fho36e8pVErjsqWIiJ3YS0r/THW2pMb+ASQxc6MdTpO7xSR3wO+ABwBfhF4yhjzjSbE4Tms1aYzQBR4D3AS+J/r9XuN8fmnWItXf4O1uDUA/AxwAzjbQJ6tl18Avgb8hYh8zgn/08A0du+DoiiKsg6076saH+37FMVBBTRlq5kGxrGzYLuBJLaz+Igx5uWSs0z+FdYc8B9jG+W/wlqKagbfws5S/l/YOnEF+NfGmP/WJP9Xy2vAh7Br7Iewa+efAX7EGJMQkbp5tt7AjTFfF5EfwXZWf4HtCH8S+HkgVO9dRVEUpSG071uO9n2K4iAlxmoUZdvhdFLfBB41xjy+xdF5yyIiu7Gd1S8aY/7jVsdHURTlVkb7vu2B9n3KVqEaNEVRyhCRVuAz2MNR57GHhP4UEAd+dwujpiiKoigbgvZ9ynZCBTRFqYOIuKhvTMc4m4tvJXLACPCbQD8QA54Gvt8YM7WVEVMURVE2Hu37tO9TthZd4qgodRCRzwP/oI6Tp4wxD29ObBRFURRl49G+T1G2FhXQFKUOIrIfa8mpFhFjzIXNiY2iKIqibDza9ynK1qICmqIoiqIoiqIoyjZBD6pWlCYhIrtF5LMi8pyIxEXEOLOQiqIoinJLon2fojQfFdAUpXnchj1TJoDdWKwoiqIotzra9ylKk1EBTVGax7eMMcPGmMeAP93qyCiKoijKJqB9n6I0GRXQFKVJGGPyWx0HRVEURdlMtO9TlOajApqiKIqiKIqiKMo2QQU0RVEURVEURVGUbYIKaIqiKIqiKIqiKNsEFdAURVEURVEURVG2CSqgKYqiKIqiKIqibBNUQFMURVEURVEURdkmeLY6AopyKyEiH3f+vcf5+yERmQPmjDFPbVG0FEVRFGXD0L5PUZqLGGO2Og6KcssgIrUq1FPGmIc3My6KoiiKshlo36cozUUFNEVRFEVRFEVRlG2C7kFTFEVRFEVRFEXZJqiApiiKoiiKoiiKsk1YlZGQgYEBs3///g2KiqIoivJW5OWXX543xgw2yz8R+VngF4HfMsb8C+eeAL8A/BjQC7wA/HNjzBsr+ad9n6IoitJs6vV9qxLQ9u/fz+nTp5sTK0VRFEUBRORaE/16B/Ap4PWKRz8F/CTwCeAC8PPA10XkqDEmUs9P7fsURVGUZlOv79MljoqiKMotgYh0A38I/GMgUHJfgP8D+BVjzJ8bY84C/wDoBH54K+KqKIqiKLVQAU1RFEW5Vfgc8GfGmCcq7h8ARoCvFW4YYxLAt4B3bl70lFuBTD7DpcAl1Aq2Q3gKonNbHYsNI5KOMBmd3OpoKJtAOptndKbugopNQw+qVt4SfOnV5jSuHz21qyn+KIrSXETkU8BtwI9WeTzi/J2puD8DVK3UIvJj2P1q7N27t0mxVG4FLixeYDw8Tru3nR0dO7Y6OlvPtW/bvyc+Xt/dTcrTE08DsKtD+/9bnTOTQSYCCbrbvAx1tmxpXFSDpiiKotzUiMhR4JeAHzHGpOs4rVR5SJV71qExnzPG3GuMuXdwsGn2S5RbgGw+C0DO5LY4Jjcn4XT4ltJITQYTBOP1mh3lZiGddbqDbaAcVwFNURRFudl5ABgAzopIVkSywHuAH3f+X3DcjVS8N8RyrZqi1MVuaQSzHUZxNyHPTDzDa7OvbXU0msbpsUWeunjrLvF8K7Gd6rQKaIqiKMrNzheBE8Cpkus08AXn/4vANPBo4QURaQHeDTy7kREzxnBxJkIml9/IYJRNRLAC2jYayylbiDsbozM8utXReMsSS2UZm48111NprndrQfegKYqiKDc1xpggECy9JyIxYNGx2IiI/Ffg34nIeazA9nNAFPijjYzbdDjJm1NhYqksb9vbu5FBKZuEbIfRm7Jt6A2cxZ+ah/T94Gvb6ui85Xh6dJ5UNse+/raidnvNbKNJF9WgKYqiKG8F/gvwGeC3sNq1HcB3rXQGGlirfaFUaE2B5p0OP5ff/J7/6nyMWCq76eGWMhtO8uxlO4BahjEw+ybktjaOq2U1SxyNMVwKXCKTz3A5eJlMLrOmMGOZGE+MP1Hc/7btCd+A2PxWx6IukXSEicjEuv3xZKPOf9todH8rYwzMngenLqWd1QnNNKq6HSZhVIOmbEvU6qKiKOvBGPNwxW8DfNq5VkU8E+fbk9/msYOPNSVum0E2l+f1iSCtXjffdWfl1rvN47krdvvfa9dD3H+gr/xh8BrMvAHZFOw8tQWxWx+NCGg3Yje4GLjIZHSSWCZGJB3h1NDq0/rU9acAOL94nuMDx1f9/qZzzVk5vI0tOxasM+7u3L1OnwpLXlVA2xQiUzBzFtJR2H1vbUtPa6Dgz3oVcc1ANWiKoiiKssHUHUCk4zB/aUU/JgJxQvHGNDCF8DK5dQxdUhFYvLLs9nh4nHgmvjxMYzg/HSaZWa4tq7oHL++4W6c1RGMMo43u88umYPos5Ne+J7Awu96INizvhJPJW7fr1YBl89lVlYNKSjV6K3E5eJl07ta1ThhMpIk2U8O8HUb1txKZJEyfWWonChR+r7IuFfYDZ+u0E1U1/ashOM71ubPEps+QSgS4ElrefjaKatAURVEUZSsZewZSYejeBd7Wms5evhYANnFlwOjXweSh72DxVt7kOTt/Fr/bz/v2va/M+VwkxYXpCOlsnrt292xOHIGZcIpzU2EiqSx3r7TPb/4izF2Alm7o2bM5EWwy6ykHM/EZLgYukswl62riFpOLXFi8QDAV5J7he9Yc1+3MpVlnaeLt6/VJNWcbwtx5WLgELT0VdbV6fq/0FSYCCd6cCpPO5jm+q7uqG4/L6q3WLGpff5Ezi2dwi4ue1n4W+g/S39JPt796ePVQDZqiKIqirINMPsOFxQtVtRJVO/qFyxBfXPq9SVqKufgc84kV9gVFZiAybf83tWeaq6U16+yzS2ZWqZ2KLdg9S4kgzK/eGl7eWVrW0D6/bMp5KQvB8fLv0CBetxeossRx7sKS/xUUtG4rLYvM5Q0XpiPka6Sl9P2FaIqpYMzu46vUMtSgsJdyJU1e3pRr/rYTV+aiJNK3xhl0qWxuSVC8BRibjzVPK1loFys17IWlpGlrubGguLw8F62qvS9QaJ/cgctV6/1UdIpYJuz4uT5taM7kydZoCxpFNWiKsgaasUdO98cpyq3BZGSSy8HLeN1eDnYfXPmFG98Btw/u+B7nxubMwL80/RJA/b10Y3Zfzlr2Dq15/0YqbPcs+TvtssqBw6sOe01cf9H+XWVaqwpbsQW7HCs2D/sfXHOURmcjXJiO4HULBwc76rp95tI87dExdnRPWQFtZOW9aZeDlxuKRzGN22xfVTKT48xkiGsLcR45NrTV0Vk3r1wLMhtJMtDho6fNt9XRWRfGGF6bCOL3uPjg8R1N9LmiQSksr04Eym6/ORVmNpziXYcH6vrWvnAG3JNw+3eX3f/O7Hc4HwpzqO3d644xLMU6X2eiqx6qQVMURVGUdVDQMqzKQt9qtWbGEJt/hqxjMS6SzHBtYW1n/yxEU0yHksXf8Uyca+Fra/KLRAAC5e9Wk8/qjfPDiQyhRNoKZwCZBMxdXOaullXKVYkQDQgc+XSM0SuPk1tJK5UIQcixAlgYhFVonIpCnMlDaHJ5+HMX7V4bh6yzZzBf4u76Ypy4oxmoFJikEK7JWat2s282lMYb0RsYY5gOJZmPLp/pX6sGIZvLc2E6shTPBuNTjcLewnR2+QA3XbqPaPEqJCusrBYthC59j2w+y+np01wNXS26aU1MN6x9XDVVrJReX4wTSpTGyaajYSOvqYjVwK+TqHN2WC6fYzQwWlOISKRzXJ6roeELTZRposZC10jlEqRL9r0W9jw21fpoPc1+Lm81y6HE8teK5VBqarqrEUpkuL64fM9tEaf8BeNpFmNL7XoylSIYrKOhX7xaN1wV0BRFURRlW1B7UBxaHGUx9BKBma8A8NTFOV69Hqzpvh7PXJrnhasLxd8vTr/IG/NvrM0E/KVvwITVzK1a2+K4vzgbYbR0mdf4czD9etmg2xjD6xNBnh6dW30cV8n10S8zev1pLs++Vt/hxIsw/nxjnoYnITxhl3IWSARtOq+/UPfVV8YDnLvRwDEPU69bq5ilYdRhPmHLwbcv1V722oilylIuzkQ5Px1mPuYMgFcRn0rmInZv4ZnJ5eW8rKhNvmz3S5YSvmHDnlr6hlOxKWbjs7y58CYALakFK6DNvrmm+C2nov4Gx20cZs4Ub70yHuDJC7NrD+LyE1YDv06+dXGO1yaCXAldYTQwWnOC5vmrC5ydDFVfUjr+vI0PVvg9t/AGV6KvljkpWDG9ELiw7jgXqZykqMj3Zy7N8+LV5YLRWnXBT16Y5ZXxQG0HTvl76uIcl+eWTm25vhhn8eqrtevQ5Mt1w1UBTVEURVEaIZu25+/UoJrWoWBZ8PzcFWKZtWm8AIwzy583VojK5Q3zqcmq1hSrMR2bXnbvpbFF8nlDJp9hNpIknl55lrsghC3G0wRiaa4lF4g72sDCuKma8sVgmE/MV90DlzU5JrMLSwJe1vp3pcqeklRBm5KKEpk8z5XrE3gWq+9bi6ezXJmLrvq8tVzWyeNSLefs+aLAOBVMksjkmE1HWKjzTeNTr3EtMGpn9cPOjH5h9n/h8pLGsN4+r0SQtlj9s7py+TzXFuKY4p6dcg1DJB2pak0uV7m3p0QjstZzoHJ5Q0t8qtxIZg2Nx0oayoJWKVvVEqm9N1pilS+XN5y7ESY9fc5qYaHM0l9ZeJkErYnJcjcLlyG1NFFwaTZKMF6h6Y5MQ7RBAcvJ37nEAi9MvUAqt6S1uTS74vGL1SlMolQIKZPBxPK41qHQLo0GbN1JZ7Plmk+HQt4bDNfC13h5ZrlQkcsbvj76HfKhCXL5VJkfBSumNb91lfwMJAO2vVphwieeynJ9MV57SXV8cUnDXYIAgWyc8blzdf2vxZXgFdLpWE3t8DIlebxkUmkV5wOqgKYoiqIojXDjFXv+TmSm4Vden7CD+qvR83x78tvVHa1hCVg2n2EyfpEXpuprXwq8MvPKsns3ggmuzMfI5PKML8Z5/spClTerc2U2yhMXbvBG/AYvRq6WLSWrpQl8cepFXpx6cdn98ewc13MLzDgb9AESmSznp0K8NGYFhmVZdOWbjJ/9NrNnn8Qze6ZqqM9fWeDMZIjU/NgyTUZdCsdaFX7nc/a7X7eawvPTYd64ESKcS/BCpIYZ7WSY5y/9FZGp73B5Lsp0OLm0LC+ft1qQFTRnAFx6nN5AfU3eZDDJ1fkos5Hqy7ZenX2V8wvnlw2+l2k8SzQiS45WjmIl/YvLy1o1iksNV4GUHDlW0LCNO8vPbgQTjE1MMHvxNEy9WscXYPoMUpr+XNZ+k6tPFW+9cSO0XBMz9gxc/VYNTyszy0b2pcB5FhILvD73eonfYQKxdRgHqlgyeHpskacurl67XDCcMbYQ4/z0Ul5W4435N5iJLW/7zk0tcObKt4nMjNGaaLxttAEvz8/nbjxXtb1awsb53HR4uWartBG4/ESZhrv0c78UGePsm3+yurhihcfzi+d57cIXHe3wcnsEwYT9roUJu7J9n9eehStPNhSWCmiKoiiK0giFQVEDm75D8QwTgXjZXqJwMsVEwA6AQok0c4UBdZ39aJPBBIFYusQwRQH7XzqXsbP+K56jZuxgomJgF0tli55GU9lVWmCzL2ZMruqZROPhcaKZkgFUJgbxpdnjaDrDXDRJDpufWZPnRjBBPp8nl4dYNsxkZKoiyLw1xpFNkcjk8OTiNYWIRNr6awqasxpnn0VTWa7Ox3hzKsx8NMVCtMb3cCwgVi5Zyps8o6Gr5Ezezo6nomDyzMYS5LKZYrCm5N1ALE0wnrZlJB6A4HXACiAdkatkktUHytWWSxW0FKSt9mc8eqOorb0cvEwkHan6bmEAaYzhwuIFZtJhRhNWm+ESFwbD9YAV4AlNWEMoQCKbYCw0VvQnm8szFbLfbSJ2hWyD59rlTI7ri3HCM1cZnTpd1AZHU1kuzkSqpnU2nKIlMYM7cp1QKkQgPV0UMjyBy3iysfL9aTW4EFja45jKpSkWooq6mKhjFSTfdT8AACAASURBVHAxHGXxhf+FrLS/Kmu1eXPxObIl2tJ8vYmZdKx6nXa57d8a7yYz5VYhy/ZPVezL82QiEJvDYIqCWaUl1NbINTwraP7tPro8ecCYLDOJMWKZmF02WSowZVMwe35FS6UrUiffwonGlmlnTa6qPwULtNOhJAtV9mbavXqGbLhC+1qIGsv3E85EkqwFteKoKIqiKKuiQhNRZSD55MWlZTsFTcW5qRDeZIDdbhidjTLpm+ejR9uXXqqyVue0o0F6eFf1sPIGa3kxHYOeveAptwRX9DLpGLTIJMG7dK5VrmyQYg+avndfX7VE12fmHKb19rIwz86f5XJ0kZO9j9gb02fLXnnhyiLdwSVBZDacIh83eFqSpOJpRtOvk021AXcV3bQk52CuscNfCwYYpkJxDoAdLFZZh/mti3PFJV8XZyLkAglaSg0orqDhvB65zmj4CvnEAkfbhuHqUywM3MdiLE3MpKDTGaeWeHN5fmkQ3epz03/9BejZg2TidIfO0Ta1AHs/2lA6C7hTIYzHx9ngRXy5CHcP382FxaW9P7X2CCbzMTvLH7X7kHY7AkUwnuHGYpZzN8KcDDqaiBMf5/T0aSLpCCPtI7R4WhgPxFmMpVmcm2A8eplwdo79dDYU51fGA/Rf/zLhrjmCYrhv5D5evx5kLpriZJWz9F4ZD7Br4TQAL81MMR6L8E7nmX/uDH2LUUwD1hAvx5eW/L4aGuXtO9/m/Gp8aeelp/8El8kuaTpqlZOSZZPzqQlGWg+s7PnVp63A3bMHPP4qDqqHdXoswEIsxXCXn84Wb3G/256+NjtBM/OGYwVxhOGZbzHVPkHEW/vswO7AGXw5AWpbpy1NtgGmk1d56rqdzLhz4E7nvoHJVyA8yVjMx/mQH49bOFQvDwqsYLCm8S+2skBYaDNGZyOMzkaqW9tOBJfCXFy5Lbq+GCeZydHidTccU1ANmqIoiqI0iO2W884McGG2OZtKMHvjWnEAnMqlmE2OF9+qtUm8MzwK2eqzq8+Nn+OLL7xOW2y87H48nyCXz+FyBi0CBCJRIskMlQOQhdQNEjln9rvU2l8J1caU2VzeajCq7a8oCWMxPeXEQSCfJZKys9fJdI4Xx8sHLtXCSeTizOZCRR8LGsV83jCWXr5PQ/JpusLl1h3nc2EWslEWkpMksuUz/W2xcTyZaMmM9vKhXCSZKQpnrfEbtCRKBGsMi8lFpmMzhLNJ/mbxTNk+IrAayMWY/YZ5RxNILl3UjsRSuaU8E1hIhbkwHS7zYyYdYtHRUvhchbRWs1ZpypagRTMB5jPzxfzLlkzdZ/KZJct8sVnIxIvxyxtjNV6xAO3RsZqCRSENNxaX4muMYWwxTC5vyORyXJiOFPcpZfJ5ZsJJUlTXYhQsBy5Pl6WgQYs4Wtx6w+nJbBUjEKZwDp8t4zmTZzQ6ST44XtT+FUkvxWM2EQJjyBvDZDBRU7NTuX/SZVZvmTBnqudNLBPl8WuPL32zXMrGP3iZVNYKyaFwlKlA7TPTjDFci14mZ3LVrUIW9oHlssX2I5HOOZ9/ed2IpaNMZBeYysxaN9EZyCYYDYwW95RdTy0SL9S7ijCT2RxX5+yzycgk8YzV5OZyzvcpieRsfHZZ/honLxYW5nn52mKJRsu+F8+nWExNl75AZ3i0ukYzNIEULE6WJHW1e/cC8XS5+xpa+UqiqYzdDwsEs3Gmxp5a4Q3VoCmKoijKqpgMxjkftAOMO3Z2MXX+eaILl1nYcQ/0wWuzrzGVuEyHp5c2TyeFAUWl4YWu8EUYWy6IxDIxvn75FfYGL7Dbu4d4+96y59bgg7f4e3QmistkuLfCn4n4BaaTLuC2OqkpHVXZ+I0H4rxJmOF0hu7W2tqIqcQVdrkcoU2kuLRqLpritcCznNyzXANSyrn4WdqyM/S5CuoqG348n+RqehZ8S2osA/QGzuLNhIElDd+l7DSheIAJbzuJxXHezZ7is96As+es837H++WD0AszEdht/+9btNbxYiXOnr/xvB3YhkdBhK9c+TrQXXw+E0kRvLbIru4ST5Gys9JKjHtzIxQnnQ9TOi//emKCMeOl9HS6auPrxViaxVCc/U62XI6+SktqltvpglaYCMQZ6qyibSmY877NauRmwkkmgwnmIs/QEzbMjzxUJbSC3GZoW3wTnKOlJgIJJgMJ4mm44I0yGciyK2mFjtmwFVTduCpKuk3N0xfnSOfyeLuqBtcQrlySSD7B9dw8/RXPppyjIwrLEi8l5rjsyuIbnWdfSz/sLakhJcuUp50laFOhBJPhLKmFWNUz6F6cepE6Jwiui+emnqHD72E0MMrRvqNgDGPJBUaDl5gM5wmFe1k89xItyQT9HX58VYTqxfQUi9mrtEsSTJVzyKqU/9loilr68mdvPMt4Zo5M3hBMBSAwBuJm1NOKINwGnIlNcl1eLt/P5zC+GCcgUfp78/g8Ll4IXuQR/0j1lQLTVitaekbjbHSSYeDqm6eZ3D3MRCBRptF6PXONxXgvff4RANriE3SFL+LKZwj13FERmedpCyWg/T1lZbOwQqHRc2lfuLLA5HyIgzXLcPkRAwCufIYvnztLj28He8nzbPgyhC+zo+9E3bBUg6YoiqIojeDsh8oZAyaPZ/68Hbw7+1YkZJeIZU1BA5Anno0QSJdvnK+2t6GUwix6NL90lk+pcDcaGGU8bq1JTgaTNZcAufIZPPFprgSu1wxrMphcpuErzGyXjrmuha8Ry8SqGnaYiyf55uxryzRuU0E78PUn5/Amyi21XV+M48oXZqIdTaTzN5HOFrUornwKZs5BPkdromI/mkMokcaTS2AikzC33Jy329k7VjhvbDIVJBRd8msxNUUyFyOST7CQixRzutqxA8ls9T1JxrHwOJeJMJ8KLmkqjXHO8bJfMG9YNpgttVQpYojmk8xmQ5C2GqXpnDUzXzpZH0zP0ZKcx5VPM56ZAwzRfIKpdKhsn18pC6FrMPsGpmjh0OZ/Kl9xZtTiVSR0HROdJZOaIRC2RkpiuRSTUVuWssYwHy3X/roj5eb0o6ksM+EkZ6anmIpOMR58nenpL1Mpfi7mrGBvZt+EdIy8yTOduMrV8Ci5Ei1VMpMjH7vObM7mdeXenlxFvhb2Nuad8EwiwNzkZXIV1jwlHYPgOPPpKMF8rHzfaGaBeDrHTCRJOpsnk89xKTFbVbscLbGCOnftPGcm3ySUXcrbWCpLKHHNai2B6dgUsUy5NnUqNsXluSjpdJqsyUMiSDKb5o25vyEcsxYXA7E0JINcHT1HOptnOnIDCbyCMTni6SyGPAuxFJPBBP7kPC2JGcz0GcgkWIimauwzLUlPdA7CN0ikk2SKbYEhlcsTjCcgnyNncsxnyrV5kWR5fUmmcwjCdDhJIJ5mMZ7kRjCBSSccP528ykQgMs2NUIJ4Oksqm+NGKFE1j+eqGMLxe9xk8xluJK+RN3nEqXtToUTRwidAKpNjMXmD6czajicJxtNEAs/jymdImyyvB6eYWgyWnSOYx5BMZ4mns7jFXbybcbR6oUSm4X2+qkFTFEVRlNVgDO2xcVpzl2G2rXjbE5mAVKREmDKMRk4XnxfuX13FAdPRfPUlkJGMXbI1E05QnIetGNB0RMfwZGN88czjHOsvaNwqdBvGLFvhVrlNyxjDG/NvlLspGAjJ5VmMpQnnp2gZmKHXN1J0M+sMoAfmX6TN5yFQotx5ZTxg95MBi3mbH9dzcwy7O5mPpIram/bYJMyeIxuvPahK5wxd4Qu0eFzWgEj7ILQt6QV84XHoabV7cHr28lrsOly5zmPODPZE7A2MuJnLWOFj1//P3nsHSZKlh32/l6Yyy9vuqvZmZnpmp8evm1l7u3eHA/YAHIBDCIaEiBAcRQZEUQyRgQBCcQxKNAoRBESBIRGQRAYgkKIcQPi7gz+Dw+0d7m797viZnulp39XlXeqPzKrK8tVmZnpm3y+io7uzMl++l++9rO97n3maHW9zJ7fsWPGaD+i95R2SZqfNIb92E0IpvrpzHYBLm7aLp1oroir9o2QyxSqjTsiWsODN8k2CuSBP3/iS7VJYWQHGsZ+IXZebmW8SzdkpxG8JeDJ3h78s32Jnx9fzfl9/89fAsjCzb4F3sXH8RvYtRhKuNt39JtSq6NvXCeXK2HeZ50vpK9xVmuN9p1jBozTFSP/6W+CJNkbYu44r5x/ufIUT2irZrW/gKW1BKQKeQCNJya3qGvP4IbcO1/6ctUKCe4XrGDt+cvktJsJ2P/3ltQ1urf52437pfBnHeNsV+1k1rZk773+BndUbVMplxlzhQGo5A3e/wbcKt9gq11qira5lvgWOHrKmF3lbu8dScZNgrjPV/hc/WOUTF2yr8Y03/oy/KL7PfKIZY/rOcpro9rtEPCWy/ine2vgWt7dyHPG92DhnM7/DzsoKxbUdtCiwcYXbwQCh9HtcBUbVMLc2c3jf+WPWV3ZY01Osbv4WNzc+IB59vjG931iyldiJNSdTqD8KQnBtPUsutwmJPnFwTibLe+utCvdaukCxahHOrUFswc7e6qLrbgjY74GVHRjZWOGOEYLtL8PkJxuff3XnOsVqjWVrjjeX0tzayLOVL1GJekBt7dwvXVnjUzP2M7YcBUgIWC8usVW6y0itTP2JL23lyZerjf5cy5a4bb2HVrhLPDA4TrGdz33zm1R23sUEMgE/31rb4IwOPsUgEbBfbuu1HYpVi+V0kagzN8zCOvVKXVvPslIsEjAGq19SQZNIJBKJZCAWd0vbjHnCLG1kCW2/BwGNb65eZTlrWzrytTKVSoUb6/b/W6UVzMIaJU+ImuKhRs1Oj19ZZ1yNcbu6zkTWg0/xEPZ62C6myaS3CRdzrrtaeLff5qrXPtZNFv1m8Sqjwkd0awlFpJgrvINYv9qIxahVLcrVGtlciQgbjG7+OVuRkxjFTbRKlnVfFW9+mW3zNtlagZDLfbJeB4BqpciVazdITc5h5u9SMEcbqkvNshqWP3/mOkqtRE3ZnRBUBVaq22g0pWel6uyrNGDPrPqz2c6XKO8USNAZo7SVK6FUbHXDsuwV9noL3WxU04yBbRnduQeaTqZYseN6PGDkV+wNjh0vOK2SJde2kW9t+3rDclOu1ChaRSxAK6xRC1R4o3SDaS1BWLElt2Klxo3rl0H1NgspdCqlO+V1Vre/jl5qWl6qFggnNq7pTtltMzr7051CBbxQ7SFR7xRKZMtl+zyHa4U1O1unCzO/ymZlgxGrgkdopAtl6NrlFhSztnIGkN9ucV+tk6uVWNnOUCx78ebvcXMjScwqsHUvzFegJU19N+qxhBXLZeWqVUGxhee6hW07WyDVlsPkXrpAtWZbX3rl+lCzK6yqBcpKjaWtzkWW7vu1OU0uV21l0rEIahtfZ636Nhl9mi1tFa+zeGFZNVLLf0RVFdxcyZDRK6h0WsDrczJXKjTmhlHaQFdKCL1EYOcKZqFpSV3ZKZIMmY3/PW39uVG8y6g50/j/bmmb3PZqcyZaUKy3rzh4gak+t0ou62xFWHy1+AFPeY6yVrjFBzeuYLHZKN9T2uaN9W86FmdYX18H3Z4fRmENYVUpeJO8/rW/RPHcQVj2e2s1f5NqrYBZuEdVieApbbG9+VVGrQq1Wuu7zJtf7qrQV1bfJ729gV7eIbn8p6zHL1DM3WAl17zedFnwyz0yhdZc75L6bcSQWU3bkQqaRCKRSCSDsOCvMjdJRk/B5nUUq0LZEnzu5jt4qlsowHJpmzvbee5s2ULJRv4GkdxtjILBdsTOcHg3fwWq64BgqbrBH94tckKf4KmZGF+880VYfZeXfFMotWaihNWNL1AXlfU2l6iKVaZglbhVy/HOW1/kZOhlZrRrYNnWG7AtYEsbOWq5MoauMlpOM7JqZ+UrWmWUvB9vfpmt6p/xRnmDMdriNxzWb7yDltng9vUi3sKqLXh4W89RqiUiW28RLN9otNmpxMBHLBBcrXTuo7SVL+Pzd7mgCx+sZFhhk9eCzdV9v2GLmZdXM0AGgvY+a0uZfNcydmpZxlBgrbkB9spOEQsBMQin3yNT3YCAXanY2uvcqlZalKJ3cs39kfRKc1NipZJntXibolXknfISF40FwF7tn3rzjwif/g7nvE7LqYUtmBfW/pR29WbbGm7DcmgqKmuZEjG1U6P6YCVD1ao13Nvs9rS6lwrAt/5lbpSX+ECYLHqm6YdYcVlg07ch3D3m5/palrDYpJC/S1kPQPoD4rkdlryjbJTudomX6hL7VFllI1/FUDQwgs1ecQnm+bJ7A2uLW5s5Mi4lO9vFDc3I3GJVCZCmwNbSNosdZ/TmnbtptGpTsbm29QUAtFCCG9k3ORG0g5pEeglhaRQrkK9UWSkWiVQ7N5mvc2XnTeo2a09xnWBlhXC5QthqjUW8tZlrKGgCi8TqV3i30iy33c31rzI3USvd5wfZwfutLTnvwJWqK8mRBVUsrldXWN3+OkbtFlddGTd9uSU2C3bsnFIrspEtUVZUCmaShGMJXJr8JGvZG1zetuvuzS+zsvElIlaAaq0MChSLK6QzN7mi+BhhvrH5OjhZYL2tShvA5aufZXXpFkGrimYskLxnW0BfX64CZwHwZ5rvlOXt4VPnG8VmgpraEFu01JExaBKJRCKRDKIlY5v9JVuyKpiFVYTzpbuWLfLe3TRKrYIvd6exclpXlMCOSwPbrQtgq5YlVys24zmc+KC6taFkldmsNQU7SyhQKTbcA6G5Kq+U0oCdoa/sClgqV6uNrGvd21YXcu1z7pS2+WD7y3x17bZthcht2Pt71epxYXasibsOWjlDoZrlvZ3X2axmOjLclau2K+VmrkS6sMNOudPCVY8Zaue9zGqLgvfB9gZX0gM21XYpOFu5MreLm7xRutGwGljY1rpcrXs84B72Dmd5O9+woqyUmvE59fFxd6tAtlhpZKfruL66Rb6Sa9TProdrRb6SbxH23Kw6cVmWZbGZK1HduErhztvc2six3WNvqK2aXUe1WrQz9Dmka/2VPbWcprC1zFrVVjwrTr/VrTobtWxj0/GNaqZrAok6esmud7FaI10oo9SK6HVLm1PeTi3PzeXfoPv+g45116pxu7JOzbKo1uuRs/fKEwi2iwW+sXnXaW+uRa1rr52x+i3S6WXWira11ShuoFbyWMB2zd7bsFtmVn/2es92tsS1uZ6vUi3iyy2hNPbVGs7acs9JyLKeSVPatttlu8LCWmW9Ma4rVpXblXUsyyJXqlCwSqyU11itbpN2lDLFFbN49cr7XfdnK282Fa2aZZErVbmxnmU7XyZXKGIWmsqesGq2hbmtGOEcsMu3yBcrVGtWS1ZEK30brArCgk1nfJb1AOvVHd4t38a33Rlj6iluojhj40ZllZLz7qlaNXvTaCdGuD6XtvJl29oL3Mtfp2pVqFjVrpauu9t5AjtX0UppClaznvXFi5vVNapWrWH1c7NRa7U0hlx1L1Zq3Cj0f4dJC5rkwPjNb3TuqL4Xhs2mI5FIJA+MbXc8hr0U/3bBfufVv9hrlq0M+fJ3KBVW8JSamzSr1SJV1UB0WRf9VvkGmR0/BM83jvmc+KLLlfbVcwGr7+DLbZD3RLBE82s8kLkOCTub3XauKZSrSleHtwaZQqsy9WZ+CaWa5d3SFjOZEPNX/gg2ryAqttDXcFVzYVn2Hk9KrcJ7lTsgWvf8KddqbOZLbOXK/H/v/yE3MpkOa4jV3TGP17ducWbqbOP/P7hnp9qvW58GsZopsiKWyFpFrlWWqeeWrFvrhHWqoeRCpxtppS1nea9tEzZyJdbIMxn1cWcn13IFuJNYdL/+emWFlfWv9GyHsfYm/mz3lODrjjC7kS2RLVXR15e4ea/ChqZTzpbwezS0tnielVqaeVKE0h+A3rS4XKnc47Te2yJmpt9BWBb97ChvFW5zjFner9wBz2TLZ5bVfMajK1/gKrC0aSsL86bW0hc6Km+VbyHK4K2l6EamUOZqYY3b1XVU0cwguZIpUC7leWYsyOeXr5Kt2HNCrRaAVgtT1hXrqW9d5QtLn2XJcwwAv2uriwo1x+2vsw8DmetQrYDaX7R+u3y7eU3WTiwk0jsQ65J5seudIO3MWX/2FrfzrZauGhbfKt/gorHA7eo6y9UtTKHz9l3BW6VbZAniqTTnsLZ1FTTb2h1Ze53VqI92lt7+UuPv9WyRO9c2qFqwni1Rq9xoUcK9+buYhVVqik7RaM+12aRYtVjPFskUq8Qcv0NvfhnUGkU1zp3qJtPaCBYKH1RsJdSz+UXCorV+WiXnTmrLVeedWY9xxOWNUGctUyJk6iwXrlG2iiz0MFctbeU5m30Hv+bn9W7W/VqW1Vqayys6JHs2FYsawZ3LjSWopa08hnan9wVIC5pEIpFIJH3Jlyq8c3eLXKlCqVJjs5omXcuxU+60TCi1csM9sW5psrEIVop42lwUG59acO3q++RKFTLVTveZUiPmQbCVyVOzQC/v4HEsEI1ySpvcrKy2ZJQTgMeVRfFy+S4r1W3eKN3gW6UbDcHFXVbd6rPpWt0uljtXmNOOdaa+oqy53PnUNotPYyu23Dpapct+Tm3BId78PRRn36g/fucvea/cugh4t7rZ8n/etYpdT/m/Uc3wZukmy47FoexkutvINNtlFu4hXH2lVvMUneedKVQo9cjcWD/HvbJeqlrk2+LR7FigpnhYcFlQblVaMy7Wn0B9hb/eIrOwRqky2KxXt34UyjXylWqjHy1sC0r7nk9Xy8sNhShTqHTUvU4j5ubeGx0WMXevuZWrpYrd957SZmdGPqtGef3KwPaUadbHU2ztb7OwilbNs1LZoeTMubJVYa3mGoNle0zn2ubq2o5rXFdqLfepVC1WM7mu9wQ75u9O7jI1yyJbK7BWbcvE6Np8/e5Wni0nmYlW6W2Z3MyVqKxdIb16m3fKt8nUCo3xXe2z11ah2hkPpjn7kl0tL7PjWMnKVNiuZVva2Ytuo6zosuxlilVGVpoKm1FstYbXF6y0St7+rG5Ra5RvNazvjfHmGh9aaQerx4pSLxdB3bVoVHFZ4jO1PNfSdffc7vOnZlVd79dun1uNZ9qNe9Ut3i3e5V7+emPMt7NZtOvgHpvtC2PtSAuaRPKQkZZHieRwozgK03K6yNVahiuFa6jVAh7R+RXaTB3fSWjnCgGx1NXysJ0vYeWyLANf99zs+Py2Y2GwhGA9W0IAgcyNlnMEUF7+HZarWwREMzhMreRRXPEka7WdFkGhnwC4li02xJpSlyQI6TYhw12ncNpx6albuhyhy7N5mVCuTFUx2tw/W6Uyd7zdtUpn1rwbld42nK283Q/vV5xVale3LKdb3RrNwmpL0g2AO1t55hN+VvpsibDmKH2rtTYBPd2qYGuVDFW1maBhu7xG1Pl7qdrp6lmnVKmhOMvovtxtuqv2bThdlC6UmdBbD7e3G2wrWuPvPm29s5VnJu4nne6shdvu6c82rUO3qrawqlWybOebc6Vcq+HZuIZaE7RnFREtQnTreFDb3FF9uSUsoXGZCsaObb644yg1lZqTw9Gyusrl7Sn53bGP93YKjTvXLVztKMVVVmu5xrhMqM7GWELwl9fWG/vc5Ss18pUSHrGJL9f7u75QqXHzTl2RyLFda74DMsW9JZlYaRuX75T7yxrd0trXudZmPRJ9NukWTjFGcQ2jaL8T3Qpa2sqhVeqbiXder7QtUIm2DuxmwVarnfFyVavGm+VbvHH5a/x0ItGzvmBv+1GnbFXR6x4AFixXNxnXeu0WB3mrRL5cYqNwjVgPN21ytwBfyzjrN99AKmgSiUQikQykvvpdteouUt1ZL6+SrqY7ktkptbL9RW51V+Bqg40jjXJ6UbXsmDWAimulvFqrUXCsS+ku8UiZ1S77pLmEtXulNMUuMRbtqNXuAsd2LUvFqlGoOkKZU1RV86GWmteofZTbOvU9sHpxq7LG5trnuVq8xaga7vh8x+red6KLYLXZZm0SWOjlnYYS0E1h7U3zXF+u+35uAJVSs365UoWAuT8xLeAkNmi3nA2ivvdanZpFz1g2gKXKhu1e2MXyal/fbL8FUExzs1Zlq9KqhK1Vt10JT4ZILGPZu+d1iwFys2P1SHjhUOqjcHQjkLnOimi6SW5UM2hC4YtvfA6Rj1JuK8+b653oYzfcrW4QEF6CipftWg7PkHt63a40FwLaXZTrTzm6bm8JkqkUuNG2FUilbRGn18KCWehcSGnvxm4xbu7SS1ULxWWxE9tvNP5eq+0QUjpdMLNW57unHtOaLZVt7wc6+ziUvsxm0CLpspIXrRJvlJvuh7UhxiH0aLuDN3+HnDY1VDl1pIImkUgkEskAuq3QduNG/mrXTOP+TPeV+IMm7yhordalpviT7eLCZnXJGFhftRbAN7O3GlnZ+hFKv9/1+KCV+93QLcujm6XqBuRt4XGQMjeIzVynQhLcabrl7UY9U6tNhaVXog+A4r3mM7y8muHcVKTnubtht1aYdqughR1v1I2sVSRbV85125I0cMGhaovLK20uepfLdxtjz5vvLfC2o/SJ2NlDvpehcCsFDUvt5dv4hIetthjMduvfXrlRWUNF4WnjKO+4YtkG0SsBTx21WsCbz4BQ+IO1d+/bMxuW+vsyXcvzdrl1AWmt1mnF7bbwVbCa8/ftu2mulFuV5GK1hlbJYxZb3YzfbLlf94Qw3fDleseUCavGt8q7+w6QCppEIpFIJP1wrfjerXTGpLgxi2vUlM40zu1ZDTvov5fxrnELZN58b4tNL9wxYtnScNaFve7387iQrvVWYsUQ1sFu9HM763q+6+971eGsK8BQFtJhaN8Gok7VrbFZdjKTSp+4n35ldWOn2KpMu5/bny/fGNpCfRBUqCF6BVEdAFVq3Kn0do3dC57SFjX8LFXWDlw5M4utinali7LYHt9aV2jvVTvft+1zYtCTNgsbVJTRFq8CuyD7l+3eSG+h/AAAIABJREFU3L0Uo7TBvepW3wWA+4VU0CQSiUQiGZJr5f4WHK2SpeQ5GKvH3ugUr/qlOR+EQHCvS+zSMFcO5mGv0x8smR7uk7B3C8pun1DBpWi1p/nuxzAW0v2QLzfrlS9V7MQZXWiPNxqWdiuH2/t0s7S7Z9++IffeanN/x/bN6trgk3aBN7/MXTXW03VxP60RQ+z95R4fburZSfdTF62ywzWl93V6ZQdLCXX9zJ+9RYXmtigPEpnFUSKRSCSSIXFv3tsrbqVbGvrdcPc+C8u7YZBrVC/6JRHYLvSOZXpY9Ivte1isVdPN7IkHzUPUjTe6uI7ulzttlpbKPiyCXytdoYpFKH15T9dbFuR6xJoeRjYd19V+SuVe3wP3g3Z3xvIQ5tHagPq3u/QeBqSCJpFIJBLJISK/D+HyoOXupeqADaH3gV7aX4zY487lyjLXVoe3gu0G3bUdwuPIoAx5w9B1K4ghGCaV/WFid8luHj6HSVm8n0gFTSKRSCSSh8zWfbAqHATt6cgPkr26s32Y+JPsu/elXL38eCtoEombzVq2w0J4v91694tU0CQSiUQikXTlw7Ja/WGjX0pwieRx5FFbDpIKmkQikUgkjwnu1NISiUQyLO1xfI8bu93r7mEjFTSJRCKRPNIIIX5GCPFVIURaCLEqhPgtIcSptnOEEOIzQog7Qoi8EOJPhBCLD6vOEolEIpH0QipoEolEInnU+Qjwr4DngFeBCvB5IUTMdc7fB/4e8NPA08AK8DkhRPDBVlUikUgkkv7IfdAkEolE8khjWdYn3P8LIX4E2AaeB35LCCGA/xL4p5Zl/T/OOX8DW0n7YeB/ebA1lkgkEomkN9KCJpFIJJLHjSD291s9qGIOSAGfrZ9gWVYe+DNsq5tEIpFIJIcGqaBJJBKJ5HHjF4FvAF92/k85v++1nXfP9VkLQoifFEK8LoR4vVx+dDadlUgkEsmjj1TQJBKJRPLYIIT4eeAF4NOWZbXvGNueaVl0OWafaFn/2rKspyzLekrXPfehphKJRCKRdEcqaBKJRCJ5LBBC/Avgh4BXLcu66vpo2fndbi0bpdOqJpFIJBLJQ0UqaBKJRCJ55BFC/CJ2wo9XLct6t+3ja9hK2sdd55vAi8CXHlglJRKJRCIZApnFUSJ5zPjNbywdSDmfOjdxIOVIJPcbIcQvAT8CfA+wKYSoW8oylmVlLMuyhBC/APysEOJd4H3g54AM8OsPpdISiUQikfRAKmgfYqQgL5FIHhP+lvP7D9uO/0PgM87f/z3gBX4JiAJfAb7NsqydB1FBiUQikUiGRSpoEolEInmksSxLDHGOha2sfeZ+10cikUgkkv0gY9AkEolEIrkPhEz9YVdB8iEkpUYe6P2qisxyKpEcNFJBk0gkEonkPhEyNXwe9WFXQ/IhIq4EH/AdBxqwH3ke/xY+fCzx4FQSr3Z/76UewICRCppEIpFIJPeJRMAg7O1uSdN5+IqbeZ8FlcNEVfUOPEdXbMkq4mv2mSl6W0ITgYdnPVrQxjuOPeM5hkccTPTKVuTUgZTzOBBUBo8dye6oaP6W/zejZ/ZVnoJombf9GIv07s/okGX0I+Lb/3vhw/NmlkgkEonkgWLvgS1E63JqwRxxjj/wCnUQCxgPuwoNrENkp3DXpNZ9L3PnvMNTZ3g4lp6iGX+g93sYbax07Hn/4AmZj1faiLJ+sJbeKS2BV9//olfQ0A/FwtXDr4FEIpFIJI8IOV8za+2EGsMUesPqspcyHjQTaqzlf1NTMA7CH6eNqejuLQ77XUE/SFqfiK2g+URzVdzvuK0O++QuGgst/x+EANjr3vtVGnc5nKkpw1sccr7Joc+taN0F+GEtHFHFj7eP9bMbWg+xWD8gq+RemU/4STyExZQnPUf2fO24y0qldhlU1gE/U78wmDPiA9/Hg153mirwGfurWymy9+dWRypoEolEIpEMSVU1W/6fVDutByk1wpSa4GjIVoYMVcGjtlvREixovRW1oDB7fnZQNNyBXKa8iOID6FDa3IknhhV6R9Vw38+9wtNQdMpakF4qh1d0ugtpiti1kpP1D1YOutnKFrQJgsJkvE253Q/7sVz6hcGMlgA6lSkhBFVqQ5dVVQwKZoKCOYK6R5GwqthjdZhYy4pmC+3DuPf26q+AaS+KxP2t46I9rugglh3qwn63Mehm2EQppWBTUffqKuqQZnRjF0pwOwGj+ayDprarfj6wRRPXxMr5xikacUqeSIeb40FT0fyMqdGWY+3v8O70tpoPg6X7qKomVWXv81wqaBKJRCKRDIklBGU91PjfJ+wvYLfSMquN8olzr7LgHwVs/Wcy6mspJ+ebZHv60z3vs+iZZlpNEHYyQVpdBLmo4u+wzOyGbgrOCd0WiscjrfWd1ey2jAYMFvXpruWlQq3CSEj0tqKd0Wc465klGbKFpaIZ6ylRjyj283YLmn6P1rJCPwzDCIMNYc5Vl4BisuiZxq/sTmnuFwvWT7kcC7XeJ9amiCwaRxlT7ec1FvZ2uIZ6FLvsmqIzn+jf5vDEp8n5Jsl5J5hz+njXCIVUyGBkKKXTruuiZ6rvWYqgp3CrKYKpmI+wV28Zc+Fdxg7V57Gvj/JVf/aDlJrtyEnU2Cxgz8tuXAzO4/HblhWvpjAWNpk5dbGrRad9Qcd/9GMALUpp3Z2vHiPZa7xFXfFQHlVhUuvuklpX9mfivoYl8dixky1Wz0iPeNo6mcAc0N8ds2COkvVPUVM00qFjXc+pz3k37UpwXXnWFMFm9DTdXiDp0DFE5Hzj/4rmIx052bNuIjpj/7E//QyEwnb4BDs92jeM9VAqaBKJRCKRDElV9ZH3jqEiulqIvMJDSQ9TGzkBHj+EOq1k4xFvQ7jKBGbQfP0tTQBZ/yzjbSvBY2oUr672tBR4VNEQLGOO8DqihggKk4jiZ84YGXhfN4mAB69H7elCZ7jiPzRFwas3hZBYPEnem2r8bw6wSLTcV+0U1hqf+boLQLulogUAKBl14bWzjd1a3S8+LeUoWu1JRpJBA/T+ymXO10wAEmhzt9qI2wJnUHjxCLUjBkxxlPlhYvpU4fSZaLpGxv0GFdVLTWgc0ZIDlZPBuxC2kvHPUPAkBp43E/cRGGCVq4+5qmJQs+xx3lR+e1fMEqIxHnNWqXF8RA03lBP/rrOvNsdCwbSVXbdr30Is0nqmxw+q2TGC6tY6r65Q0fwUzCRPxJ4Ajx9/y1iwr0w676FurfWoAk1RGlYjIcAIne3bigVvkqP6GFboJFqb5W6w3lI/Q2AZ4S7HhyOhdnNvHTzQJj2dVm5VaI0FNK+udl20sC3Jycb/gR5bpKjG4EWMgEcl6u//fquETlDRfH3PkQqaRCKRSCRDYgmFiurlnGcOwyV4b0bPctFY4KxnltXkCwjdD0degfAkaK2WgPGwl8VxW3gpeaJMH3+y+70a9xT4AseY1loVqpDi44mxEMm2fa8qmp/5hJ/JqI8fnj/NfMKPxxFaTeFh0TPNCX2Co+YoftVotKsXAlhIBgmZOqpii/Fuy52pKcwn/KhCNBQdIexr6kSmF1lcOA7AnDbaUCLqnA9eAmAjdq7l+EVjoatlwAIww4jRVxor/JW2LI0FM9k1EUv7oUvJCTzji2zEzpGONlfX2y04dQXGLXRrzt/tlkxDUxrC9LxmC34Z/wyJgMc+Hu7vblk0mgqM5rqf36NSNEfI+qcYC/p49uinqe1iH7J261z9aQT1GMtjr9p11xXS4eMgYNKI8bRxdKBbazclI+5aUHA/85IRZSPxVON/t0XazUjQYLStvu3xRaoQBAyV7cgTWNjZ88Yj3oGWw3QPAdkjNJ4yjgI0rLt2A4YQl52HkPemyPnGSYYMZmI+LhoLXDQWCBmexkkWQPIUCNGiGAAEhMnz3hP82Nwz5Hzj5HxjhI0wJE+hKYIfmbqAKXSEEJz1zOJ33KG7LZyMR7wI0UzIoSAYGe+0ui/qU417HzFHOBaKMT3yCYQQeBXXc9qFnlWNL/S0gj4106lInYu92nhWOsPHgNWXIwACqsHz3hONz85PRQHRsPpPRb2EulgBS/FnyPnGGv9rXeLYSp4I+fATfeviUQWjIRNd6T9ekpFnmJv5qb7nPF4pYSQSyYHzm99Y2ncZnzr38JIiSCT3B/sL3BQe/IrJ80efwnz/C2zlm6vxESNC0BNkp1IEbEF9q5ZpKWXCdwxY73unrH+OOXMWuE7Y1BEKbOXKAB2KTlUxHEHjrlNLp56OpaFoxDCKG43zT/kmWC/mWdouNI6pojXDZGLk27B8AnKt9TriGeV6eaURTzXuifB+aBw2vmpfpwXweVQCHkfUcBUaNDRGgyYrRdttayzshZVm2TNaglyt+SzrxL0mS1aIKe8OhMbRCwYlTwSjsErWP00ge5OQFqNWWkF4VJIeg+V0sXF9xj9DKHsTC4uybwo9dwuwhfFiuUbU52HTHEGwTS28yBM7y41rFWdNeyTgYVUZpVpZoRuGKogHDE76xrghcg0BesyYwGetdpyv6F52zDHM3F3Uah5DV7BcYWSmy4oR8XkwNBVDU0n6TezR1HyumcAs49YNyIMen4OgBWvvd9zTEoKqGsCvhfGqAcbMeXTFJIfSIuZXI3OkSwr5bBFyN1rKqGhBjnjn2RAw6p9kOxiCjb9qfD7vHUFXciyni8xoo1xveV5NST/vTaGX0y1lu+swFwpRLancq2zzRCRByPAgEJSsCvdK9nVhfYSZ5CQbq3+MKhSqVo2yHmGuBm+XbxMUJpZeJVOy543Q/GBVKJgJzMKa80xUO4FPMccRzygW2UYdcr5JjuRUNmoZhLfMRtYem1n/FHppu3Fe1KeTRxDQIiQJ49VdgnpwDNJ5AOIud1BDV7DyzdPG1Chew+7zqD6Kx9u6nYLf0DjtmyBjpjF2dEpUnGcmGs/Owo4njet+Nis5CmaC0VKGi9FpVrpkT/QLA78wmFY7repTcT+3Mx2HKRoJjKL97FQBeT2Cu+d8HhVVAVEDIzpObuNOi1XXVH0UqjkKZpLjwXmeP5rgqj0dmY75eHdN4NU1nvBM8Bfp61Q1P2qpOZdHQybrmSK+sQXuZTTKetNiN6nG2axliJghlNQMoeJ1AqiNd5ChaKgIqs44NOqLO5XNzoa6GDWm2Wo7pgjwYpC1nLoZQVDtd16tbXFJ8cRIe4LEsN2T+yEtaBKJRCKRDMGznqY7XV3MUITgjGeGU6kJjo4GWs7XFI0XJ19s/D+qhlnQWxcrEkarJaV94dZSFCKh05iqbRGIBzzE+uyxsx15omsQfF2R24y2ujfFdT+mpjDhijl7MdrMQJZSI5ihRcozL4FSd/kSVDQ/3zE7z8cn5zFnnuGIOcK5wBRz0Re4aBzntdhpdEUlFTIJmBqnR0633Pd4KtRwAwp7dc5MtloBx9QYk4FFLkxHmY37nbvCD02d48Lpp9BnL4ERQhUaNUWz26152Q4fZyZ0nrOeOeYSfnwejfmEvxG/VjKaVp1A9OnG315d5XgqiIWdZbOQepL5+AvE1Gaf1lUXn0ej6E+Riba2qc7EwgVMTSGsejnjmaXstVfm5/wzfPfIGV4Ot1owZk9dYn5qku3wcV4NnmxRukOKl1enXmn8b2gK334qxcW5uK10C/vJ6IqgYCbYiZ5Ccaw9pj8EHrv+ZScjouUIpCVPFH3kRVShsRB6Gq8WRFN0vjd1mk+49j/LJs6wEzpGzknYMRdvWqZq/gRjC5/kbOxVjp38UfBGyPqbsWXPTo4y7rOtY/4+SW+6WbKEELw29xqvxU7zydRJvnv6OD8x/wwvxOY545/ktH+CeWe7iqDiZTZwionUM7z28j/kjFPX7ehJtMAxLhoLLHqmiZj2eEuHFhg1ZwFb8apbedKhBQrhRQCeTzrtELZVt6p6GVHDHNcniHj1RixW0YiTCc436h31eQiaOkeC5znjm+TpoH0fSygw+zyi3jeuGETFldQlIEx8ikHNYz+3Gd9CxztCUxSenUjx0fgCihCNPjU1230v6vdwVp/l5dhRLoXsuVxTDI5pY0x7o1iK2hEDpQiFiYkf6NjvzQJifr2RgCWXerKhZNUtTvMJP2GfTiYw2+w/7HfO/EiQuYQfEUiyETvHZuxs435Hg7YVtRyY5bte+nRLrGXMbzAZ9REPeDg/OspFY4Fp79GWuhmaYruLR5IgYH3kaSqTT9sxv1qc054ZXpx8keePT7Nw6btbrLGXgkdwK5MCwULoKU74bevbiEuJdcf/ehSTUNszivk9zDvv9XTiLIyeBASTvuOEPc4Ydd4/E8cuUfLY76Bn5vonHZIKmkQikUgkQ6IpCgjbmjIWdgmdaqsrT9VqWghGPWHO+vsnRQDbLcyjur+WLXCVMzbqxD94/MR8OqNB+/4pNYJX6I2sjKKHG1JE6RLz4AiMnpGj5HyTlPUglsvlTBOCkCOQ1jPJuRWISSNKwBNg2omDmor5mIo59/HFIDwFTrIUhELI1FhMNRXA2MQzXIgvQqAZ2yE8CTaiTVfHSmiavJnCUnTbCuEQNsIsjodJBIyuLm0nHOHYUDTCybmOz8P6CFGPyYK/aTVY3bFXwbcLFYSlNoQpAFUodvZBn+1+OOM/SS0y21JmwFBtpSiQop2acMU0GWFiU09gBGzF9NToccYDKaZGIsQ0P/FAq0ITNNSOZCEAlmt8aChYgC6aWwDMBCaYCgY6Nt1TzAlGjM4xGZ1YwDPRVOIXx0NOWZ0uX/O+BY4lg8T9BomAwURggkTwPF410JJwpMWK1IOxsY+0/J+IhO06B1PgbVXeSbVmFqz47HvVH0VCCxBQTV6ZO8NOsCnUVwJJEtEIFWcBYyrq69hIfmE0iE9X8bsS0piqj7geZyxsNuIKASqOZavuClk2Y6B7SU0dIeTV8R99rnGfmN8+p13ZAvDkbKuqnZ1zBMslmp8ZD/dNhhPzeWylTni4lLDd+AKBEEy+zMhIv3gpe1+3KTXeiGE7OxUhYGioQpAMmQRNjbGwyWJ0AU1RMYVOwNAwNKVlv7GAapJwFgB0c6zlPRPV/EwbMWpYjLsUrPOj51FQCOoxpnzHG8fX409S0sME1P4JZ2aMWWbMOMe8SfudDIBoeV+6afEI8CYwZ56nrqBV4wuMmnZykJLPnreWy8IbNmepKoYTsyhYcFxS69ulxGOnyMWfdZIQqUTNKEFPkLCeIOmdbamHtQsfUamgSSQSiUTSh6prhb8ey6UI0XAbtA+0fp26BeenUk8zYbQJmV0465klk2yNR9OELUYcGw0yMeEI1IFRIuNHmXYUIVMYnPXMNSxr58Iv2OepTcFTF2ojQ2OdSuKJhlVM8YYpmAlWki+Rm7KtfvMJP8dTIV45PoqmKnw0ushrsVarkanovDT5Ml5HebswHbWTYADMvwKhcYjNNTzaEk+8xOyzzeyVF49+ktSp/wRUvWElTIx/H3n/BHUBqhycJO9LkRs5C7PPN669kLzA0dEAs3E/MX+nQDcfmOC12GlMRceId2ae1BQPPzRzlqDWad0Z984jhGjs8ZVwlKOT+hTEj2AqPoJ6nJq/VQgenTqBphkQnenYoLwuJVoAikokMcbEsQsAzISm+PGnP0bw/Pdx7MKPMZcItFw3EjS7ZtCzmqcw67GFzKYyZbEYPcaF2Dg+Q21JPLIQvoihtirsT4yFMGafRUk2Y3giDWttp4I2YiQIe3VeOJbAoymcGTlDwn+EkekfJaT4GrULGjrtwUsWViNxzdnoK3znsx9v+dwXdhKfzL4ARz8Gp7+/KWXHW/eYKrbtOaUrKi+Fj3F6PEU8niDvCNSWJ0ho9kJjUSIZMpmN+1uUsZBX5+R4GNU1n4+HnsUQHiYivpZsrHPjP8BkxEuwnmlV0SF1hkAgyCvHR9Hjs437HBmx+7M+xsG2sLv59OQpgoqX9UTTsjsZ8/H0bBdLy8nvAWB+JIAmVM54ZpnwB8EI4p96mhcvnMZ84hNtFzX7sOr0/YXoBHNOjORI0OREKoRw3m2vnkhi6ipxI8ol7zEWIi+gCsFk1OssTtnlvRQ+RsCxkAaNZMt75lJkgVP+CV4YfYURs7kgkPQnEUIwHzhLUG8muSl4U6yOXmpZBGrOI/t3QgmiJD/Oom+cY95RYi0KfA8FreH+KXhm7BmU6Awb8fNsxM5xbHqSVxfsuWOpBvgSWDSzvs545ynEn6SqmlhYXJxMsaCNUzBHqCY/ztG5T1HypZyMlIJL45d4cfJFNMWDVw0QU/yNsVuulbvWrxtSQZNIJBKJZACjAQOfR+O1Y5cIuQSKjdg5it5knyuBlO0yNhY2SQZNJoITnIyf5MhIgBMpxwUsMkrs2EVS3qnGZtJxNcjE/CWmgpPMJnwQPwpGAMwoUU/TymUh8KgKU0aMS5NnmR8bseMg4kcbK7aKEAQiow33R10RhMYXYOpZu0xFJelYIqLeMEZwDITCzMTFZjumngFvhGRyjNCRi63L0v4RmLYTfTDzHPgTIASz4VmORY+R9NvP6EifDVynYt0tBaMhA5+uNSwVZ0bOEDEjmE5bxgPjLCYW+/cBtnA87j1KJjjfSGZSFwSPx44zHZrmlJO8ZSEZ6nBZjfk9zMZtwbZSs93SjkdO2QIYEAoGbath44I50iHbnTFgaJwaD0FkGt/0JTvpgwulXxIKy+L0hG2NaVhiRxbACOJLTKMG4sQikca+YaNBA48qGrGB3Y0KFmcmI8zEuyfTGPPOEzeaCp3bpXfKjDCrjXBirPuigyU02/I4ddEeh0BFD+DVFExd8PTUJAlfiEux2cazc+MNhInFT3QcZ/qSM64UmLhAxapCeIpk2EPI1EmGO5V0y4J0+DhlLcCJ1HOu1luk/ClOJ05z2m8L5woK87Gm5fOYN8lUIytg60Osac2xGjQ0wqaPhZEumSnrc2TS5U4bPscTySc5P3qeqBmlYtpW2povTlkPUvJESJ24CGYEzB4ZXhW1+SyAqtpl7ghhz8vEAvMjAYzYNIyfx7IgHHuOuDHOiDOnNqNnwOsauwHXOy04xkQyBaMn7AQ38WNgBJnwnSCm2HNkTI9gqj5ixhhFI0Ep4rh9jl8Ab4TplP1uSZqznEm2uvgeT3XfkPyod5S5qRcQvjglTxQtdJKZUJCJ+t6T4SkYP99i3bWC41R0u07JYHPhRXhjoPuxIs2Fmo/NPcuIY6mO+nRCXp1npicJJhY4ET7G7OwLTBozZAJHmPQex6cG8TjujSPOIpR7O4GoJ8l3HHO9L+uPL/o8Ya+dXTTuN0mGTI6Ndm+zG5kkRCKRSCSSAQRMjcVYGEZnWN/2wZYdzZ73TUC40zrTIs55oxBIMsE9AKZGHBcyR/a6chWSc6eYnz/D8uU1PNqbAKxPfS+fOu6OWQvDqK2IPB1agJW37L+PJKFSBCKcPmZbuK4X7WyENScBgkBw4oXv4QSA5ghipt/+ccq8NPEM19ayaELloxf+ZudDCKYgmKKxDv7mN5qfzb/c/Ds0bv8AJ+PNrIivzb/WWaaLsbBJwIyS32611hiqysnxpkKa8CZIeJvC8LnRujvkn/ctf8p3Ap8WYrV4i3RbooS64viu8i5PzcQImhp6VWPd0W4sIZiP+8lWbRdI3XFFTfnHuTn3kywBo5E3qNWa8URi7Bw76+vE1r/GiWQIAgaEnkEBnscWYD9/4/OUqqUWa1s3N6ipI9/GVH7H9VCCsPAJlHKOJybiWFaMzLotPBqmY+mp74eGhT0CXM/Vsphz3EJvrDeTYdSpu3y1cyk0T6TuwhpqVa4apQvB6uhzEBrDGjtL0RijdmcHVRWcSIb5jqMfsc97I866LmhPQ+UZP8VouMv9XeOK2DyYQVj+KjFvgKfnervzVfQgK6mXmfHH0L1lXr+xAVhcSNrWy01PhIvGAtXJV/HqTSXvmHeUhFXiHvYCjZuq6XJ9VQR/59L3sZxd5uv3vt52dydlh0vhSSReYe6EPa9HfCN84+2vAFDzj7KStOdiIJaCWKebbLNYAfMfAWCpsoSnuA683Xne/Mso13+fWK3G6Sc+blvV0xvEgqd45sxLmGEvS8LpAdWlEsw1Y2fRPPhPv8ZLwO9efc9+n3mjxLfHmdDt/jAVneOBZxFCsDbyLJXql+1rAyNw9GN4sWPGUt45PnGstV31Rap2FvwTMG9bVlczSwjgu6af5fUPbpIGmH7WPnHpXvMi1cP6+EcIXf5N4sGmS7BQtcZCWZ1nZ+ZYr75jN1FVeOW4PYZeDNiWx+8BOGvf/ze/scQx/anGasd42MtT0Rijri1SXp55msVk56JFLbKIZ/uLjEe8aKpgKurjRGqwR4VU0B4xZEY9iUQiefAkQjONVfC6oKurCjG/p7kCHJ6ilLIFy0bmwiE4EjnS4e6kKsJJEd0d1W1xmXgKbnyx63lmcIJI7i4L8y4XsrGzUNjuev6umL5kZwgckFK6K6MnodqapfF04jTvbrxLtRZm08lSucsttrrU8SJcXms5NOU7gW6uMebzd2SmnA5Os5JbYSIwwcp2U9lKHjkPW81siFMxL76KTsIluJ8bOcdSZon1fDMr52jQZCb1DOTeta0ZbdSVMbfyFDEi+HU7zvBsPWap234BgFl3zxS2W61lWTD5DKTfawjcY54wc+Eqau0oudIXnNOHj4U5Oxnh8jsKRijevMoTaLW4YI/ZkaDRiOMDW0Ff2SlQjhylunUTPP33fgLwqn7GA+MDz4uYdpbUhWjvzdrdym4iYJBOdzupx7OIzVH2qbADxcAE1DZg/Dyz5W2mU0+xmtZJhWaYCLYqHC2K8PQlWH234Up8PBWkWmu936w5zfbOdu96DGAm7idcLeNJq0T0AAuj/fc5O54Kki1VGmN3IRlsDq/UGSju9Lw27o03xvdcws9I1l4UKIemceU6YcRMsZgYHHfbTipkMh42IZ20lfB2Jp5kMlNFxJteDE/En+CL6ipeJ6HP2ckIH+RdumThAAAW30lEQVSexoy2LjzEvXFmQq2K/1RwCr9n8Ab2dU5PRmC59dh4xOTamsb8SKD7RS4W44u8t/kefn3wPaWCJpFIJBLJAJ45/591HBPAi8dcQvf0szzXaUwbyPHY8Y5j8wk/4XhvYbZhcYkfhdBY7/Nmn+e5ox9tPZg4mM2dWywauyV5suNQ3Bvn+Qk7xqx1MXK3gqtLQA5PQuo0FJsKaVCP8fzcgi2gvtF6pU/38dLkS85dbQEv4ffgC4RhC3AU6ZBp8sJEq9Um5U+R8qf47PXP2rUQgktH6oJkd2uIJjTKlFuEek3ReHnqZdjqTMnfjiIUJoIT3N65TeM5BZMNqyiWhaFofFvqLPhH+N23OxX5Y6NBPljpLZTPJvxcOhJnq3AWq16nox9ttbg47X3uSKKl76JmlKdGL/H1wibF2PGB+4npqDydfL6pePY7V9FbsqR2xTV0PJrSc5N1u/5tByaepLKVh50NOzbp6LcBcPLCj9mfjwM0x4DVTcEKjbXMz27WojEzyYi+1nF8WM5NRSBTgh3Bc9ET4G11tWxvc9irN6xFYMceNhjprewCzIfnWc+vM+Ib4UwqClu2glZIXoC7Te33ePQ0M6Hu7pk91hoAeHbemS/xHv0aGCH15CdbZlPUjLIQau6rFw8YxC+c7yx77NmOY+3ZZQcxPxJoUdAsLAzNjtcbhrg3znPe5wafiFTQJBKJRCLpi9qW+/7URIg7V9XGRsQHyeJ4mCvL0/jnjg4+eQh2kzXsUedkYo6EL0xm0ySpbNnJSXrQkKWnnoXN613PSYVNNjwaqaC3IVV6FZ24N87RyMH0z+mR01zdutphQW0h2T++7mjkKNvFbQLRcRaSbVbXwKgdx5RcBM1g1kwQiMRJTrriy5zh7dYvpmO+luyGi/FF3lh7g7BW3xCrt5Q9E/cTcM2NkaBBzO9hKrCI19N63XjYizkSwKN4IHyKyUprhsCDItK2NYV7XgRNDa+uMlmPCxo5QctGdPRXKvZLITCDpd2gGpllWqPrRsoApxKn2Lj3XvdCvDE7Zq0twyW4FLT70Qb/iB3r6uzjNh3zsZktNdxn+3F6IsxWfrikGZNRL/EuiYDaCdyHdzLYKfGvrToWOf8IYmQBcreHLyA6C+X8wNPcSAVNIpFIJJI+GFrrqn/E5yEy3iN4f5+EfToXXvj2wScOKTF2XdXvVeR9keAeHN9/+nnXf90UqC5xXpEp+6cLhqZyfjoCmWLjWkWIrivx3RjmebbH03WlPc18G37d37D6QVufqzoca7q3nnz2pzvrWVfQXErL+elWRS9shHlh4gXY+L/71xXHouPC1FXH0tzp4jke8TI+Yc+l87PfyVqm2Jn9ch/UW7Q43j3OCeytMxbHw+BklWyPVYLd6Ta7rX9NM1lNvcxR3cf56d5KyHRomulAD7dBVYNjH9vVfQ+EeuypEx9p6gqvnOgeD9j+KhrGJbDOkzP99wyr076YdlCMhb3NjaXnX4bcyu4UtMBwFjY3MoujRCKRSCS7JTDazFo4DHWhbw9f1F0JTzUyNXYj6iQxGMZVbCG6wGx4lvkRPyFT77vv0oPi2bk4Ia/nQIT1k/GThIwQF6aajlFD662pU7YFqh4/NsSFlVoFgKpV3W1VW5l4EkKumPHQBEw+1ft8ByEEo75Rzg6IRaozG7f7fSY2fCzOIFfFoYjO2vGQDovjIcJenaivuwVpL9S7qz6KpkPTmKqfmMflFjzxlJ34oktcUMzvIeb3dGT07EbCmyDoCe7auro4HiY0bLsDSdvquwtEUwM/MNoXfmbivoFj6MmZKHG/0bbX48EwHvH2jdk9aKJmlJAR6hv/WHdnHQkYTAWneCL+xK7uIS1oEonkgXEQSW5AJrqRHALmXhp8jhtv1N7L6aDQTVho3+eoyaXx4ZXHo9GmQNlr9ftBkwqbpCbCkCnsu6yoGbWtP8BWtspyukBtWA3NG7UtULW6sjX4OlMzKVQKu7JediU21+qmOTN8nz6VGqzI1TF1dff9fhBWrjZlM+Lz8JHjBzv+2l18vZqX46FnWk8KjNgxdV1oWv8Go6tDxMR1IexrjQnry9zuy69zP92dhxlDoyGT0dDgBaO90HWvuPuIruiNd0ovgk4Kfk1Vdh3rBlJBk0gkEolEcihpbMPMZHCSkKe3m9qwnBgLkStXW7IvDoWiOntKdSZYGQ2azLgSupwZOcP7m+8PZb18ZLmfQVn7JbkIFVuxb1jQDnN97zPnR8/zweYH6Mr+LZNRM0rQE+ya2EjSyn6HnFTQJBKJRCKRHELqyQ0Uzox0Jj/YC+0Z7HaFe683F81MjTZDxZVJ7h+jTVeyuop/n0KTHgkOcjxqirYnK+GHmb1a0qWCJpFIJBJJHwx1l9aWh0H8KGiPQD13Q3LRzqbnfXCxJZIBTF+C9csPuxZDc2YizLeWtgmaTevRhekod7f37zorkfQjETAIeXVOjO3N8i8VNIlEIpFI+vBIuKqNn3vYNTh4fLGeVivJQyI8Yf88IkT9Hl5eaI0hm4r5mIoN3jBbItkPuqrs3VqPVNDuOzIpgkQikUgkEolEIhkWqaBJJJJHloNYAJGLHxKJRCKRSA4TUkGTSCQSieQRYS48h6bIr26JRCJ5nJFveYlEIkG6I0seDXa72alEIpFIHj2kgtaGFNIkEolEIpFIJBLJw+KxUNBkHIpEIjlsyMUeiUQikUgke0HsZgM1IcQqcOP+VaeFBLB2SMuTdTsc5R3muh10ebJuh6M8Wbf7w4xlWSODT3s4CCF2gPcedj0OiAfZr/eTx6UdINtyWJFtOZw8Tm3p+d23KwXtQSKEeN2yrKcOY3myboejvMNct4MuT9btcJQn6/bh5HF6Fo9LWx6XdoBsy2FFtuVw8ji1pR/Kw66ARCKRSCQSiUQikUhspIImkUgkEolEIpFIJIeEw6yg/etDXJ6s2+Eo7zDX7aDLk3U7HOXJun04eZyexePSlselHSDbcliRbTmcPE5t6cmhjUGTSCQSiUQikUgkkg8bh9mCJpFIJBKJRCKRSCQfKqSCJpFIJBKJRCKRSCSHhEOloAkh/rYQ4ltCiLTz82UhxCf3WNZnhBBW28/yPup2vUt5lhDid/ZYXlAI8QtCiBtCiLwQ4ktCiKeHvPYlIcR/FEIsOXX40bbPv08I8QdCiFXn84/ss7x/JIR4VwiRFUJsCiH+UAjx3B7L+jddnuFf7KNu3frEEkL80h7LSzp1vCOEyAkhfl8IcaxHWT8jhPiqM1ZXhRC/JYQ41XbOUH0xZFm76YdhyhuqL4Ysa+h+GLK83fRD3/fGbubDEGUN3QdDljf0fBiirN3OhUHlDd0HjytCiL8lhLgmhCgIIb4mhHjxIdfnQOa1EMIQQvxLIcSaM5b/oxBisu2caaf8rHPe/yiE8BxgW/p+RwubzzjjLy+E+BMhxGJbGVEhxK8KIbadn18VQkTazjkthPhTp4wlIcR/I4QQB9UO5x595YNBbT3I9u6h7oO+Ex9YPwghPi2EeFsIUXR+f+9BtUUIoQsh/pmw33lZIcRdIcSvCyGm28r4ky599e/vR3v32hbn8wc2z4UQLwv7/VcQQlwVQvzNYdsxZFsGfnc9yPYeFg6VggbcBv4BcAF4Cvgj4DeEEGf2WN57wJjr5/Q+6vZ0W1kXAAv4D3ss71eATwB/w6nXZ4HPCyEmhrg2ALwJ/B0g3+VzP/Al4L8asi6DynsP+NtOPV8ArgG/L4RI7qEsgM/T+ixf20fdxtp+vss53qtfepbnvDx/AzgGfA9wHntj9s8LIfxdyvoI8K+A54BXgYpzbsx1zrB9MUxZu+mHYcqD4fpimLJ20w99y9tDPwx6b+xmPgwqazd9MEx5MPx8GFTWbudCz/L20AePHUKIHwB+EfjH2O3/EvB77QLdA+YjHMy8/gXg08APAS8CIeC3hRAqgPP7d4Cg8/kPAd8P/PMDbk+/7+i/D/w94Kexv39XgM8JIYKuc34de/x+B/Dtzt+/Wv9QCBECPgfcc8r4L4D/muG/G4dlGPlgkDyy7/bukUHfsQ+kH4QQl4D/E/g/gHPO7/9LCPHsAbXF59Trv3N+fwqYwn5/a23n/u+09tVPtX3+IMbdQchS+57nQog54Hex33/ngX8C/EshxKcPsC3Dfnc9Ku+1g8GyrEP9A2wAP7WH6z4DvHkf6/WzwBbg28O1Xuwv1k+1Hf8a8N/usqwM8KM9Pktgf0l85CDKc50Tcsr9xG7LAv4N8Nt7fObD1O2Xgff2Uh6w4LTrrOuYgv2F9ONDlBcAqsB37bcv+pW1237oVd5e+2LIuu2mH1rK228/OOd3vDf2Mh96lbWXPuhW3n7mwxB1G7oP2ss7iD541H+ArwC/3HbsA+CfPOy6ueqz63kNhIES8Ndcx6aAWn0cYwueNWDKdc5fBwpA6IDq/hl6fEcDArgL/KzrmBfYcc2dJ5wx+rzrnBecY8ed//9zIA14Xef8HLCEkyTtPvVLi3zQr60H2d4DqHf7d+ID6wds5exzbfX5PPDvDqItPc456dTztOvYnwD/U59rHvi469YWHtA8B/4Z8EFb2b8CfPk+9kvHd9eDau9h+jlsFrQGQghVCPGD2F9AX9pjMfOOSfWaEOLfCyHmD6huAvgx4Ncsy8rtoQgNULEHhZs89kQ/tDim4J/Efvl8Y4/FvCCEWBFCvC+E+GUhxOgB1S0A/CD25N4LhvO70S+WZdWAIsP1SxBbiN3c4/2HLmsP/dCrvL30xaC67bYf2svbcz8c0HtjqLJ22wd9ytt1HwxRt131QZfy9jsXHmmcvn0S27PBzWexrVeHhb3M6ycBHVfbLMu6BbxDs22XgHec43X+AHtcPHmA9e/1HT0HpNrqmAf+rK2OGVrH/xeBbNs5f+5c627HODB7gO1o0Ec+6CePHFR7D5oH2Q+X6Jxvf8D9nW8h53f7/PlBx/3tLSHE/9BmLTxM4+5BzPNe/fKUEEI/uKbYDPjuelTeawfCoVPQhO23m8EWBP5n4Hsty3pjD0V9BfhRbI35J7BfMl8SQsQPoJofx35x/cpeLrYsawf4MvBzQogJRzj669iDZ+wA6nfgCCG+0+mXAvB3gY9blnVvD0X9PvCfAh/Fdpt4BvgjIYTR96rh+GHsifZv93j9u9huXP9YCBETQniEEP8AmGS4fvlFbEH9y3u8/8Cy9tEP3crba18Maudu+6G9vF33wwG+NwaWtds+GFDervpgF+0cqg/6lLffufCok8BeRGvv13vY3yWHhb3M6xS21W2trSx321J0tn3Nue6g2t/vO7p+j37PPwWsWs4yOIDz9wr923HP9dn9oJt8MEgeOaj2HjQPsh96nXNf2uYswvxz4Lcsy7rt+ujXgb8GvAL8I2yXuf/X9flhGXcPap73aouG/Z48aHp9dz0q77UDo93v9jDwHrb/cQR7YvxbIcRHLMt6czeFWJb1e+7/hR1MeBU75uvn91nHnwC+alnWXi1IAD8C/G/YcSBV4OvAv8P2ZT6M/DF2vySw2/8fhBCXLMu6u5tCLMtyB9u+IYT4GrYg+ElaX4J74SeA37Asa3UvF1uWVXb8qv9XYB27Xz4P/F7fCwEhxM9jWxZesCyrupf7D1nWrvuhV3l76Ysh2zl0P3Qrb4/9cCDvjSHL2m0f9CxvD30wbDuH7YOe5e11LjxmtG8UKroceygc5LyuF0lr23q180DaP+A7uh78P+j5d6vLoHNEj+MHRYd8sAt55CDaez94UP3wQOabsGPOfg37vffd7s8sy3JvgvyGEOIq8BUhxAXLsr7eo57d6npfx90DnucPcg51/e56VN5rB8mhs6BZllWyLOuyZVmvW5b1M9irg3/3AMrNAG9hB73vGcek+in27kZXr88Vy7JexnYpmrIs6xls8+y1/ZR7v7AsK+v0y19YlvVjQBn48QMo9w62krrffjmHnehgv/3yNcuy6gLrmGVZ3w7E6dMvQoh/gR1s+qplWVf3c/9BZe22H3ZTt0F9MUxZu+mHfuXtth8O8r0xqKzd9sFu6jaoD4Ypazd90K+8vcyFx4heq6qjdK7APnD2Oa+Xsa2D7avf7rYt8/+3d/YgdlRRHP+NQU1kJbqoiJqNH42RJKgEY4roJuYhWkbUdoUgYmFjlUYDClrYhFXsZAvBWAQNCjaCWG2TBCGFQZRE1ESUFAm4JJvAtThnzNvJmzd3Zu7Ozsb/Dy77MXfOu+eee+7HvHvPXKt72beKSSiM0XmEw3H1/ydwl28pBP7bXngn4/XIt0Ul1yN2fjBiPpJK39R0aYeyPEl188XZZ8BW4JkQwrmKW45ifcGwrXrV7mBZ/bxMlyvYw7tk1By7VkW/1obeLdBGcANXz0M0JsuytcDD2IHXNsxg24EOVeSLwid7Z7Msux2L6ngkhdwOSGWXO4B7aW+XV4HT2FP+1oQQzocQ/s4srPg2SuySZdlB7Cv53SGEk20+s6GsUjvUlTfOFjVkRdkhVl6sHUaQpH1Gyqr7WeNsVtcfRslq4wvXyGthg1VLCGERC9o0KFwa0PJsY1sS+PUx7KHCYCjPfVjwg1y3eWBTtjRE9QAb+4611aGknMNj9ClsMjUoXN9ZKOMEdjQgZwdXo7bmeXb6vTkD4AzmI6mZIWJ+MGI+kkrf1HRph3mW2d8yOzP1ObY42xVCiHn10hZsAp/bqo/tbjn9fB7YU/i4AXA0hHA5pQ7UGLtWS7/WitCDSCV5At7HHP9+zCnewyKuPNdA1gfA09he8O3A19hh/o0typcBP1GI7NVQ1rPYfvQHsAbyA7ZP/caIeyewbUmPAgvAW/77lF+f9L+nsa9t9/nfd9eVhx2ifdfrcAo7SPkJ1qC31pQ14XbZ4Taexhzmd+DWJrp6nluA8wxFmmpRdy9ie88fxJ6EngYOl8j6yNvUbuypTJ4mhvJE2aJKVgM7VMmLtkWMnnXsEFlvdewwtt+ItUGVrLo2iJBXyx+q9GzgC1X1Fm2D6zEBL2NRwfZhg/xBLDjAxhUsUxK/Bj7GIsrtwUJnf4eNQWv8+hrgBPbqhcc83x/AbEJdxo7R2CsgLgB7gc3YoudMQY9vvJxPus4nsDNF+fX12ALjkMvY6zLfXAbblM4PqnRNpW/DcleNiZ3YAQvkcAXYjy1e92MT7u0pdMGO9Hzp7fhxlvrPOr//Ib9nG+Y/z2NBJo7jvtFVu6vQpTM/x9rsP1gI+01Yf7gIvJCqjXme0rGrS337lFa8AAUjzGF7Si9hBy6/pUb46oKsvBNZdAMcBh5pWb5d2ATviQS6vgT84rqeBT4E1kfeO+3lKKY5vz5Tcv1AXXnuNF94XV7yn0co6TQrZK3DIub85Xb51f+/oamunucVrGO/J0HdvQH8NlS+d4CbSmSNkrOknmNtUSWrgR2q5EXbIkbPOnaIrLc6dphjTL8Ra4MqWXVtECGvlj9U6dnAF6rqLdoG12sCXscWpvkT1qdWuDxJ/BpYC8xiW5QWgK9G5JnCFhILnm8WuDmhLmPHaGzBcwAbHy8C3wObCzImsbNEFzx9CtxWyLMFizp40WW9zTKE2GfM/KBK15T6Nij3dEmbmuvaDtg7qU56Pf0I7E2lCzaxL/OfGb9/g+t3DvP5n7EHM5Ndt7sKXTr1c+zhwnGvk1PAaynbmOcpHbu61rcvKX//hBBCCCGEEEKIFWY1nEETQgghhBBCiP8FWqAJIYQQQgghRE/QAk0IIYQQQggheoIWaEIIIYQQQgjRE7RAE0IIIYQQQoieoAWaEEIIIYQQQvQELdCEEEIIIYQQoidogSaEEEIIIYQQPUELNCGEEEIIIYToCf8Ca75g6SkB6YYAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"with model_frequency:\n",
" pm.traceplot(trace_frequency, var_names=[\"spins_missing\"], divergences=False, combined=True);"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
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"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"with model_frequency:\n",
" pm.traceplot(trace_frequency, var_names=[\"theta\"], divergences=False, compact=True, combined=True);"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" frequency | \n",
" probability | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 18.0 | \n",
" 0.114847 | \n",
"
\n",
" \n",
" 1 | \n",
" 19.0 | \n",
" 0.120967 | \n",
"
\n",
" \n",
" 2 | \n",
" 22.0 | \n",
" 0.140020 | \n",
"
\n",
" \n",
" 3 | \n",
" NaN | \n",
" 0.114844 | \n",
"
\n",
" \n",
" 4 | \n",
" NaN | \n",
" 0.121021 | \n",
"
\n",
" \n",
" 5 | \n",
" 19.0 | \n",
" 0.120958 | \n",
"
\n",
" \n",
" 6 | \n",
" 20.0 | \n",
" 0.127333 | \n",
"
\n",
" \n",
" 7 | \n",
" 22.0 | \n",
" 0.140010 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" frequency probability\n",
"0 18.0 0.114847\n",
"1 19.0 0.120967\n",
"2 22.0 0.140020\n",
"3 NaN 0.114844\n",
"4 NaN 0.121021\n",
"5 19.0 0.120958\n",
"6 20.0 0.127333\n",
"7 22.0 0.140010"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data[\"probability\"] = trace_frequency[\"theta\"].mean(axis=0)\n",
"data"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"