diff --git a/code/lecture4.ipynb b/code/lecture4.ipynb
index f2282a3..c285c1a 100644
--- a/code/lecture4.ipynb
+++ b/code/lecture4.ipynb
@@ -26,65 +26,9 @@
},
{
"cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "text/html": [
- " \n",
- "\n",
- "\n",
- "\n",
- "\n"
- ],
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": 51,
+ "metadata": {},
+ "outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
@@ -120,10 +64,8 @@
},
{
"cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 52,
+ "metadata": {},
"outputs": [],
"source": [
"def gradient_descent(init, steps, grad, proj=lambda x: x):\n",
@@ -168,10 +110,8 @@
},
{
"cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 53,
+ "metadata": {},
"outputs": [],
"source": [
"def quadratic(x):\n",
@@ -190,10 +130,8 @@
},
{
"cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 54,
+ "metadata": {},
"outputs": [],
"source": [
"x0 = np.random.normal(0, 1, (1000))\n",
@@ -209,10 +147,8 @@
},
{
"cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 55,
+ "metadata": {},
"outputs": [
{
"data": {
@@ -220,13 +156,13 @@
"True"
]
},
- "execution_count": 5,
+ "execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
- "x1.all() == 0"
+ "np.all(x1 == 0)"
]
},
{
@@ -238,19 +174,19 @@
},
{
"cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 56,
+ "metadata": {},
"outputs": [
{
"data": {
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ZnnNYtCoH5VUsLERE7oRlhXzWpOFdkT4nFoF+jn8NvtqXi/krNqO0slpjMiIicsayQj7t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\nNScrZmZmVmpOVszMzKzUnKyYmZlZqf0/3sq/WxEy6D0AAAAASUVORK5CYII=\n",
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MHEKj2OhA7ZPNh5j49ApO5CigiIh4QeFEGryLz2vNs5OH0iQuGFCWbz3MhKeWcSw7z8POREQaJoUTEWBo95bMmTKMxPjgHR1Wbj/K+FnLyDqlgCIiUpcUTjymq3XCx+CuLZg3dRjNEoIBZc3OLMbMTOfwyVwPOxMRaVgUTjymq3XCy4DOzZk/LYUWjWMDtfV7jjEmLZ0Dx3M87ExEpOFQOBEpoX/HJBamDqd107hAbeO+44xOW8r+Y9kediYi0jAonIiUolf7RBamptA2MT5Q23zgJKPS0tmTddrDzkREIp/CiUgZzmubyKLpw+mQlBCofXXwJCNnLGXH4VMediYiEtkUTkTK0b11ExZPH07H5o0CtR2HTzM6LZ1th0562JmISORSOBE5i84tG7P4B8Pp2qpxoLbr6GlGzljK5gMnPOxMRCQyKZx4TJcS1w8dmzdiUepwzm3dJFDbdyyHUTPS2bTvuIediYhEHoUTj+lS4vqjfVICC6en0LNt00Dt4IkcRqels373MQ87ExGJLAonIpXQNjGBhakp9G6fGKgdPpnL2FnprN2lvV8iIjVB4USkklo1jWfBtBT6d2wWqB09lceYmems2n7Ew85ERCKDwolIFbRoEsdzU1O4qHPzQO14dj7jn1rOiq2HvWtMRCQCKJyIVFFSo1jmThnKkG4tArUTOfnc+vRylm4+5GFnIiL1m8KJSDUkJsQye9JQhp/bKlA7lVvApNnL+e8XBz3sTESk/lI4EammJvExPD1xCF/v2TpQy84rZPKzK3h/w34POxMRqZ8UTjymeU4iQ6O4aGZOSOaK3m0Dtdz8QlLnZvDWur0ediYiUv8onHhM85xEjoTYaJ68ZTBX920XqOUVOH703Epe/XSPh52JiNQvCiciNSguJoq/jxvEtRd0CNTyCx0/WbCSl1fv8rAzEZH6Q+FEpIbFRkfx6OiLuOGicwK1Qgc/W7Sa5zN3etiZiEj9oHAiUgtioqP468iL+N7gToGac/Cr59ewYPl2DzsTEQl/CicitSQ6ynjw5gsZO6xLoOYc/PaFz5izdKt3jYmIhDmFE5FaFBVl/L8b+jPx4m7F6r9/eR2z/rPFm6ZERMKcwolILTMz/jCiL9O+3r1Y/U+vfs7f3//So65ERMKXwolIHTAz7vpOH358eY9i9Yfe3Mjf3tmEc86jzkREwo/CiUgdMTPuuLoXP//m+cXqf3vnCx56c6MCioiIn8KJSB0yM376zZ78+ppexer/+GAz9732uQKKiAgKJ57T9PUN048uO4+7r+1TrDbzP19xz5L1Cigi0uApnHhM09c3XFO/fi73XNevWG32J1u568W1FBYqoIhIw6VwIuKhWy/uxn03XlCstmD5dn79r08pUEARkQZK4UTEY2OHdeHB712IWbD2fOZOfrF4NfkFhd41JiLiEYUTkTAwMrkzj4y8iKiQgPLy6t38dOFq8hRQRKSBUTgRCRM3DOzI42MGEROSUF79bA8/em4lOfkFHnYmIlK3FE5Ewsi1F3bg7+MGERsdDChvr9/HD+Zmkp2ngCIiDYPCiUiY+Va/9swYP5i4mOAfz/c3HmDanAxO5yqgiEjkUzgRCUNX9G7HrAnJxIcElP98cZBJs5dzMiffw85ERGqfwolImPrG+W14ZtIQGsVGB2rpWw4z8ZnlHM/O87AzEZHapXAiEsYu7tGaOVOG0iQuGFBWbD3C+KeWk3VaAUVEIpPCiUiYG9KtJXOnDiMxISZQW73jKLfMWsbRU7kediYiUjsUTkTqgUFdWjB/agpJjWIDtc92ZTFm5jIOncjxsDMRkZqncCJST1zQKYkF01Jo2SQuUPt8zzHGzExn//FsDzsTEalZCici9Ujfc5qxMDWF1k3jA7VN+04wOi2dvVkKKCISGRROPGZmI8wsLSsry+tWpJ44v10ii6an0K5ZMKBsOXCSUWlL2XX0tIediYjUDIUTjznnljjnUpOSkrxuReqRHm2asih1OOckJQRq2w6dYtSMpew4fMrDzkREqk/hRKSe6ta6CYumD6dTi0aB2s4jpxk1YylbD570sDMRkepROBGpxzq3bMzi6cPp1qpxoLY7K5uRM5by5f4THnYmIlJ1Cici9dw5zRuxaPpwzm3TJFDbfzyH0WnpbNx73MPORESqRuFEJAK0a5bAotThnN+uaaB28EQOY2ams373MQ87ExGpPIUTkQjRJjGeBdNS6NOhWaB2+GQuY2am8+nOo941JiJSSQonIhGkVdN4FkwbxoWdgld/ZZ3OY9zMZazcfsTDzkREKk7hRCTCNG8cx7ypwxjYpXmgdjwnn/GzlrH8q8PeNSYiUkEKJyIRqFlCLHOnDGNItxaB2sncAm59ejmfbD7oYWciImencCISoZrGx/Ds5KEMP7dVoHY6r4BJz6zgo00HPOxMRKR8CiciEaxxXAxPTxzC13u2DtRy8guZ+mwG723Y52FnIiJlUzgRiXCN4qKZOSGZK3q3DdRyCwqZPjeTN9bu9bAzEZHSKZzUADNramb3mNlrZnbAzJyZ3el1XyJFEmKjefKWwXyrX7tALa/A8eP5K3nl090ediYiciaFk5rRGvg9cAGwyuNeREoVFxPFE2MHce2FHQK1gkLH7QtW8eKqnR52JiJSXIzXDUSIPUBH59xuM+sGfOVxPyKlio2O4tFRFxEXHcWLq3YBUOjgF4vXkFfgGJnc2eMORUS056RGOOdynHPaNy71Qkx0FH/5/gBGJncK1JyDXz//Kc8t2+ZhZyIiPgonIg1QdJTxwE0XMm5Yl2L1/3lxLbM/1o4/EfFWxIUTM0s0s+vM7F4ze93MDvpPUHVm1ruCn9HezB41s81mlm1m+8xsiZldWdv9i9SVqCjjTzf0Z+LF3YrV/3fJetI+2uxNUyIiROY5J1cCL1Z1YzO7EHgPKJq56hi+E16/C1xrZnc55x6odpciYcDM+MOIvsTFRJH20ZZA/b7XNviu5rn8PA+7E5GGKuL2nPjtB14D7gFSK7qRmTUC/o0vmKwC+jvnkoAWwF8BA+43s6trvGMRj5gZv/12b24rEUQeenMjD7+9CeecR52JSEMViXtOljjnXip64796pqKmA12BE8AI59wuAOfcMeAOM+sB3ADcD7xVQ/2KeM7MuONbvYiLieLhtzcF6o+9+wV5BYX8+lu9MDMPOxSRhiTi9pw45wqqsfk4//P8omBSwkP+50EVPX9FpD65/cqe/PqaXsVq//xgM3969XPtQRGROhNx4aSqzCwRGOx/+2YZq6UDWf7XV9R6UyIe+NFl53H3tX2K1Z7671f84d/rKCxUQBGR2heJh3Wqqg++c0oA1pW2gnOu0Mw2AkOBvqHLzOw2oLn/AXC5mRWN7+POuSxE6ompXz+XuJgofv9y8I/CnKXbyM0v5L4bLyAqSod4RKT2KJwEdQh5Xd6EakXLOpSo34HvfJUiV/sfAPMI7nERqRcmDO9GbHQUd734GUVHdBau2EFegePB711ItAKKiNQShZOgJiGvT5ez3in/c9PQonOuW2W/0MxS8V9N1KVLl7OsLVL3xgztQmx0FL96fk0goPxr5U7yCwv56/cHEBOtI8MiUvP0N0tQnf830DmX5pxLds4lt2nTpq6/XqRCvje4E38bdVGxPSUvr97N7QtXkVdQ6GFnIhKpFE6CToS8blTOeo1LWV8kol1/UUceHzOQmJCA8tpne/nhvJXk5FfnAjkRkTMpnASFnmdyTjnrFS3bU4u9iISd71zQgX+MG0RsdDCgvPP5PqbPzSQ7TwFFRGqOwknQBqDoOsl+pa1gZlFA0SQQ62viS81shJmlZWXpfFkJf1f3a0/a+GTiYoJ/dXyw8QBTn83gdK4CiojUDIUTP+fccSDD//aqMlYbBiT5X79bQ9+7xDmXmpSUdPaVRcLA5b3b8tStySTEBv/6+O+XB5k0ezknc/I97ExEIoXCSXHz/c/jzKzkpcLgu1wYINM5t7GOehIJO1/v2YZnJg6lcVx0oJa+5TC3Pr2c49l5HnYmIpEgIsOJmbUueuC7aV+R5qHL/IdpQs0AtgGJwCtm1tf/eYlm9iBwk3+9u2r7ZxAJd8N7tGLO5KE0jQ/OSJCx7Qi3PLWcrFMKKCJSdREZToADIY+VIfWlJZYVm1zEOXcauB44BAwC1plZFnAU+BW+c1J+65yrsZv+6ZwTqc+Su7Vk7pShJCYEA8qaHUcZ91Q6R07metiZiNRnkRpOqsw5twboDzwGbAHi8YWVV4GrnHMP1PD36ZwTqdcGdmnBgmkpNG8cG6it3XWMMTPTOXgix8PORKS+Mt1pNDwkJye7jIyMs68oEqY+33OMcbOWcThkj0nPtk15buow2jZL8LAzEQlXZpbpnEsuWdeeExGpEX06NGNhagqtm8YHal/sP8HotHT2ZmV72JmI1DcKJyJSY85vl8ii6Sm0axYMKFsOnmRU2lJ2HS3vllUiIkEKJx7TCbESaXq0acri6cPp2Dx4F4hth04x8smlbD90qpwtRUR8FE48phNiJRJ1bdWERdNT6NwyGFB2HT3NqLSlfHXwpIediUh9oHAiIrWiU4vGLJ4+nO6tmwRqe7KyGTVjKV/uP+5hZyIS7hRORKTWdEhqxKLUFHq0CQaU/cdzGJ2Wzsa9CigiUjqFExGpVW2bJbAwdTi92iUGagdP5DI6bSlrd+lcKxE5k8KJiNS6NonxLEhNoW+HZoHakVN5jJ2ZzpodR71rTETCksKJx3S1jjQULZvEsWBaCgM6BU/+Ppadzy2zlpG57YiHnYlIuFE48Ziu1pGGJKlxLHOnDmNw1+D9OI/n5DPhqWUs23LIw85EJJwonIhInWqWEMuzk4cyrHvLQO1kbgETn1nBx18e9LAzEQkXCiciUueaxsfwzKQhfO28VoHa6bwCJs9ewYebDnjYmYiEA4UTEfFE47gYnrp1CJee3yZQy8kvZNqzGbyzfp+HnYmI1xRORMQzCbHRpE0YzDf7tA3UcgsK+cG8TN5Yu8fDzkTESwonIuKp+Jho/jFuMNf0ax+o5Rc6fjx/Ff9es9vDzkTEKwonHtOlxCIQFxPF42MHMmLAOYFaQaHjZwtX8a/MnR52JiJeqHI4MbOH/Y8uNdlQQ6NLiUV8YqOj+Nuoi7hpYMdArdDBHc+vYdGK7R52JiJ1rTp7Tm4HfgTovzUiUiOio4yHvj+AUcmdAzXn4Df/+oy56ds87ExE6lJ1wsl+4JRzrrCmmhERiY4y7r/pAm5JKb5T9ncvreXp/37lUVciUpeqE04+AZLMrPNZ1xQRqYSoKOPe6/sz6WvditX/+Mp6Zny42ZumRKTOVCec/AUo8D+LiNQoM+P33+3L9EvPLVa///UNPPHeFx51JSJ1ocrhxDmXDowDvm1mH5rZ9WbW1sys5toTkYbMzLjzmt7cfsV5xep/eWsTD7+9CeecR52JSG2KqeqGZlYQ8vYS/6NoWVmbOedclb9TRBoeM+MXV/ciJjqKh9/eFKg/9u4X5OYX8ptrepX3d46I1EPVOaxjVXhoXpUSNM+JSMXcfmVP7vx272K1Jz/czL2vfK49KCIRpjp7MbrXWBcNmHNuCbAkOTl5mte9iIS7H1zag9joKO59ZX2g9vTHX5FXUMg91/UjKkp7UEQiQZXDiXNOkw6ISJ2bckl34mKi+N1LawO1uenbyCso5L4bL1BAEYkAOswiIvXO+JSu/PnmCwg91WThih3c8fwaCgp1iEekvquxk1PNrC0wCCi6//kBYKVzbn9NfYeISJFRQ7oQGx3FHf+3hqI88sLKXeQVOB4ZOYCYaP3fS6S+qnY4MbNLgD8BXy9j+UfA3c65j6v7XSIioW4a1ImY6Ch+vmh1YI/JkjW7yS8o5NHRA4mLUUARqY+q9SfXzH4AvI8vmBi+Sdn2+x8F/tqlwAdmNr16rYqInOm6AefwxJiBxISca/L62r386LlMcvILytlSRMJVde5KPBB4AogGPga+BSQ65zo45zoAicA1/mXRwBP+bUREatS3L+jAk7cMJi7kUM47n+8ndU4m2XkKKCL1TXX2nPzSv/1i4DLn3NvOuZyihc65HOfcW/j2nDyPL6D8ojrNioiU5Zt925E2YXCxQzkfbjrAlGdXcCo338PORKSyqhNOLgUc8PPy7kzsX/Yz/7qXVeP7RETKdVmvtjwzcQgJscG/2j7+8hATn1nBiRwFFJH6ojrhpA1w1Dm352wrOud2A0cJXskjIlIrvnZea2ZPGkrjuOhAbflXh5nw1DKOZed52JmIVFR1wskxINHMmpxtRf86zfzbSAhNXy9S81LObcXcKUNJjA9ekLhy+1HGz1pG1ikFFJFwV51wshLfeSS3V2Ddn/rXzazG90Uk59wS51xqUlKS162IRJTBXVsyd+owmiUEA8qanVmMnZXO4ZO5HnYmImdTnXCShu9S4XvN7E9mdsa/rmbWwcweBv6I75yTtGp8n4hIpVzUuTnzp6XQvHFsoLZu9zHGzkzn4ImccrYUES9VOZw4514A5vo/47fAXjNLN7N/mdkrZvYZ8BW+vSZRwBzn3Is10bSISEX175jEwtQUWjWJC9Q27D3O6LR09h/L9rAzESlLdadPnAjcBRwH4oGhwI3Ad4B+QJx/2Z3AlGp+l4hIlfRu34yFqSm0SYwP1L7cf4JRaensyTrtYWciUhpzrvo3yTKzxsDVlHJvHeAt59ypan9JhEtOTnYZGRletyES0bYcOMHYmcvYG7LHpEvLxsyfNoxOLRp72JlIw2Rmmc655DPqVQ0nZlZ0Iuzz/kuFpRoUTkTqxvZDpxgzM51dR4N7TDo2b8T8acPo2uqsFx+KSA0qK5xU57DOI8BfgIPV+AwRkTrVpVVjFk1PoUvL4J6SXUdPM2pGOlsOnPCwMxEpUp1wchA47pzTNXkiUq90auELKOe2Du4p2Xssm1Fp6Xyx77iHnYkIVH+ekyQz06yvIlLvdEhqxMLUFHq2bRqoHTiew+i0dD7fo/kiRbxUnXDymH/739VQLyIidaptswQWpKbQu31ioHboZC5jZqazdpdmbRbxSnXmOXkduAP4gZnNNbMBNdeWiEjdaN00ngXTUujfsVmgdvRUHmNnprN6x1HvGhNpwKpztc4W/8v2+OY4ATgNHAIKytjMOed6VOkLI5yu1hHxVtbpPCY8vZw1IYGkaXwMsycNIblbS+8aE4lgtXG1Tjf/IwHfNPYGNAY6hywr7SEiEnaSGsUyb8pQBndtEaidyMlnwtPLSd9yyMPORBqe6uw5ubQq2znnPqzSF0Y47TkRCQ8nc/KZPHsFy746HKglxEYxa8IQLunZ2sPORCJPjU/CJjVL4UQkfJzOLWDanAz++2VwGqe4mChmjB/M5b3aetiZSGSp8cM6ZnbEzA6Z2bnVa61hM7MRZpaWlaUrA0TCRaO4aGbdmsxlvYIzJeTmFzJ9TiZvr9/nYWciDUN1zjmJA6Kdc1vOuqaUyTm3xDmXmpSU5HUrIhIiITaaGeMH880+7QK13IJCfjgvk9c/2+NhZyKRrzrhZDu+gCIiEpHiY6L5x7hBfLt/+0Atv9Bx24JVvLx6l4ediUS26oSTfwPxZnZVTTUjIhJu4mKieHzMQK4bcE6gVlDo+Pmi1fwrc6eHnYlEruqEk/uArcBMM+tTM+2IiISfmOgoHhl1ETcP6hSoFTq44/k1LFqx3cPORCJTTDW2vR74J/B7YJWZvQ4sBQ5Q9iRsOOfmVOM7RUQ8ER1lPPS9C4mNNhau2AGAc/Cbf31Gbn4h44d387ZBkQhSnXAyG3D4Jl8DuM7/OBuFExGpl6KijPtuvIDY6Cjmpm8L1H/38jpyCxxTLunuYXcikaM64eQjfOFERKTBiIoy/nh9P+Jionjqv18F6ve+sp7c/EJ+eJnu0CFSXVUOJ865y2qwDxGResPMuPvaPsTFRPHPDzYH6n9+YwN5BYXcfmVPD7sTqf+qc0KsiEiDZWb8+lu9zggiD7+9ib++tRHNvi1SdRUOJ2Z2u5lNKWNZUzNrVtqykHUeMbOnKtugiEi4MjN+cdX53HH1+cXqj7/3JQ+8vkEBRaSKKrPn5G/AH8tY9gVwuIxlRUYDEyvxfSIi9cJtV/Tkru/0Llab8dEW7lmyXgFFpAoqe1jHqrgs4plZrJn90cy2m1m2mX1qZmO97ktE6kbqN3rwhxF9i9Vmf7KVu19aS2GhAopIZeick5qTBvwP8BLwE2AH8JyZTfCyKRGpO5O+1p0/3dC/WO25Zdu584VPKVBAEakwhZMaYGaD8B2y+l/n3O3OuZnAd4EPgIfMLN7D9kSkDt2S0pUHb74QC9mXvDhjJ7/6vzXkFxR615hIPaJwUjNGAoXA34sKzneg+QmgLXCZN22JiBdGDunMwyMHEBUSUF5YtYufLVpNngKKyFkpnNSMQcBm51zJk4KXhSwXkQbkxoGdeHT0QKJDEsorn+7htvkryc1XQBEpT8SFEzNLNLPrzOxeM3vdzA6amfM/ep/9E8DM2pvZo2a22X9y6z4zW2JmV5axyTnAnlLqu0OWi0gDM2LAOfx97CBio4MB5c11+/jhvExy8su8BZlIgxdx4QS4EngZuBu4BmhVmY3N7EJgLXA7cC6QA7TGdw7J22Z2ZymbNfKvV4xzrhDI8y8XkQbomv7tefKWwcRFB/+6fXfDfqbNySQ7TwFFpDSVnb6+pZm9V1odoIxlxdapI/uBDGAFsAvflTRnZWaNgH/jCzSrgPHOuXX+CeZ+D/wSuN/MVjrn3grZ9DRwxkmvZhYFxPqXi0gDdWWfdsy8NZnUORnk+A/pfLTpAJNnr2DWrck0jqvObc5EIo9VdIIgM6uJg6TOORddA59TJjOLds4VhLzvBhTdnauPc25DOdv+DHgEOAH0ds7tKrH8ReAGYKVzbnBI/W2gq3Pu/BLrd8J3SfFdzrn7y+s7OTnZZWRknPXnE5H665MvDzLl2QxOh+wxGdqtJU9PGkLTeAUUaXjMLNM5l1yyXpk/Dc/WYD+1JjSYVME4//P8ksHE7yF84WSQmfUOCTqZwBVm1rLESbHD/M8rq9GTiESIi89rzbOThzLpmeWczPX9VbV862EmPLWM2ZOH0iwh1uMORcJDhfec1FcV3XNiZolAFr6Zbm92zr1QyjpR+KbpTwJ+7Jz7h78+GN9hpN855/7krxnwHtAP6OycO+OclFDacyLScGRuO8LEp5dzPCc/UBvQKYk5k4eR1FgBRRqOsvacROIJsVXVh+AU/OtKW8F/gutG/9u+IfVMYC5wj/8qn6nAEnzzm/zmbMFERBqWwV1bMG/qMJolBHder9mZxZiZ6Rw+methZyLhQeEkqEPI691lrhVc1qFEfSpwH3ATvsnYuuI7ofaZGutQRCLGgM7NWZCaQouQPSXr9xxjTFo6B47r/zPSsCmcBDUJeV3e1TWn/M9NQ4vOuVzn3O+cc52dc/HOuQucc/NqvEsRiRj9zkliYepwWjeNC9Q27jvO6LSl7DuW7WFnIt5SOAmq87sqm1mqmWWYWcaBAwfq+utFJAz0ap/IwtThtE0Mzkaw+cBJRs1Yyu6jmoVAGiaFk6ATIa/LmzStcSnrV4lzLs05l+ycS27Tpk11P05E6qnz2jZl0fThdEhKCNS2HjrFqLSl7Dh8qpwtRSKTwklQ6Hkm5U03X7SstOnqRUSqpHvrJiyePpyOzYP/N9px+DSj09LZduikh52J1D2Fk6ANQNF11f1KW8F/KXEv/9v1NfGlZjbCzNKysrJq4uNEpB7r3LIxi38wnK6tGgdqu46eZuSMpWw+UO2dtSL1hsKJn3PuOL65SgCuKmO1YfjmOAF4t4a+d4lzLjUpKensK4tIxOvYvBGLUodzbpvgOfr7juUwakY6m/Yd97AzkbqjcFLcfP/zODMreakwwB3+50zn3MZSlouIVFv7pAQWpqbQs23wosCDJ3IYnZbO+t3HPOxMpG5EZDgxs9ZFD6BFyKLmocv8h2lCzQC2AYnAK2bW1/95iWb2IL45TADuqu2fQUQatraJvoDSu31ioHb4ZC5jZqbz2U4dBpbIFpHhBDgQ8gi9r83SEsu6hG7knDsNXA8cAgYB68wsCzgK/ArfOSm/LXFHYhGRWtGqaTwLpqXQv2OzQC3rdB5jZ6WzavsRDzsTqV2RGk6qzDm3BugPPAZsAeLxhZVXgauccw/U5PfphFgRKU+LJnE8NzWFizo3D9SOZ+cz/qnlrNh6uOwNReqxiL/xX32hG/+JSHmOZ+cxefYKVmwN7jFpHBfNU7cOYXiPVh52JlJ1uvGfiEg9lpgQy+xJQxl+bjCInMotYNLs5fznC80wLZFF4UREpJ5oEh/D0xOH8PWerQO17LxCpjybwfsb9nvYmUjNUjgREalHGsVFM3NCMpf3Ct7yIje/kNS5Gby1bq+HnYnUHIUTj+mEWBGprITYaJ4cP5ir+rYL1PIKHD96biWvfqo7a0j9p3DiMc0QKyJVER8TzT/GDeLaC4LzReYXOn6yYCUvr97lYWci1adwIiJST8VGR/Ho6Iu44aLgvUoLHfxs0Wr+L2OHh52JVI/CiYhIPRYTHcVfR17E9wZ3CtScg189/ynzl233sDORqlM4ERGp56KjjAdvvpAxQ4tNes1dL37Gs59s9aYpkWpQOBERiQBRUcZ9N/bn1uFdi9X/8O91zPrPFo+6EqkahROP6WodEakpZsb/XtePaV/vXqz+p1c/5+/vf+lRVyKVp3DiMV2tIyI1ycy46zt9+PHlPYrVH3pzI397ZxO6ZYnUBwonIiIRxsy44+pe/Pyb5xer/+2dL3jozY0KKBL2FE5ERCKQmfHTb/bkV9/qVaz+jw82c99rnyugSFhTOBERiWA/vvw87r62T7HazP98xT1L1iugSNhSOBERiXBTv34u91zXr1ht9idbuevFtRQWKqBI+FE4ERFpAG69uBv33XgBZsHaguXb+fW/PqVAAUXCjMKJx3QpsYjUlbHDuvDgzRcWCyjPZ+7kl4tXk19Q6F1jIiUonHhMlxKLSF36fnJnHhl5EVEhAeWl1bv56cLV5CmgSJhQOBERaWBuGNiRx8cMIiYkobz62R5+/NxKcvMVUMR7CiciIg3QtRd24B/jBhEbHQwob63fxw/mZZKdV+BhZyIKJyIiDdbV/dozY/xg4mKC/xS8t2E/0+ZkcDpXAUW8o3AiItKAXdG7HbMmJBMfElD+88VBJs9ewancfA87k4ZM4UREpIH7xvlteGbSEBrFRgdqS7cc4tanl3MiRwFF6p7CiYiIcHGP1jw7eShN4oIBZcXWI4x/ahlZp/M87EwaIoUTj2meExEJF0O7t2Tu1GEkJsQEaqu2H+WWWcs4eirXw86koVE48ZjmORGRcDKoSwvmT00hqVFsoPbZrizGzFzG4ZMKKFI3FE5ERKSYCzolsWBaCi2bxAVqn+85xui0pRw4nuNhZ9JQKJyIiMgZ+p7TjAXTUmjdND5Q27TvBKPTlrLvWLaHnUlDoHAiIiKl6tU+kYWpKbRNDAaUzQdOMmrGUnYfPe1hZxLpFE5ERKRM57VtyuLpwzknKSFQ23roFCNnLGXH4VMediaRTOFERETK1a11ExZNH06nFo0CtZ1HTjNqxlK2HjzpYWcSqRRORETkrDq3bMzi6cPp2qpxoLY7K5uRM5by5f4THnYmkUjhREREKuSc5o1YPH0457ZpEqjtP57D6LR0Nu497mFnEmkUTkREpMLaNUtgUepwzm/XNFA7eCKHMTPTWbdbk0lKzVA4ERGRSmmTGM+CaSn06dAsUDt8MpexM5fx6c6j3jUmEUPhxGOavl5E6qNWTeNZMG0YF3YKzm6ddTqPcTOXsXL7EQ87k0igcOIxTV8vIvVV88ZxzJs6jIFdmgdqx3PyGT9rGcu/OuxdY1LvKZyIiEiVNUuIZe6UYQzp1iJQO5lbwK1PL+eTzQc97EzqM4UTERGplqbxMTw7eSjDz20VqJ3OK2DSMyv4aNMBDzuT+krhREREqq1xXAxPTxzC13u2DtRy8guZ+mwG723Y52FnUh8pnIiISI1oFBfNzAnJXNG7baCWW1DI9LmZvLF2r4edSX2jcCIiIjUmITaaJ28ZzLf6tQvU8gocP56/klc+3e1hZ1KfKJyIiEiNiouJ4omxg7j2wg6BWkGh4/YFq3hx1U4PO5P6QuFERERqXGx0FI+OuogbB3YM1Aod/GLxGhZn7PCwM6kPFE5ERKRWxERH8ZfvD+D7gzsFas7Br5//lOeWbfOwMwl3CiciIlJroqOMP998IeOGdSlW/58X1zL746886krCncKJiIjUqqgo40839Gfixd2K1f93yXrSPtrsTVMS1hRORESk1pkZfxjRl+nfOLdY/b7XNvDEe1941JWEK4UTERGpE2bGnd/uzW2Xn1es/pe3NvHw25twznnUmYQbhRMREakzZsYd3+rFL646v1j9sXe/4ME3NyqgCKBw4jkzG2FmaVlZWV63IiJSZ26/sie/uaZ3sdo/P9jMn179XAFFFE685pxb4pxLTUpK8roVEZE69cPLevC77/YtVnvqv1/xh3+vo7BQAaUhUzgRERHPTLmkO/de369Ybc7Sbdz14mcKKA2YwomIiHhq/PBuPHDTBZgFawtX7OBXz39KgQJKg6RwIiIinhs9tAsPfW8AUSEB5V8rd/LzRavJLyj0rjHxhMKJiIiEhe8N7sQjoy4iOiSh/HvNbn6yYBV5CigNisKJiIiEjesv6sjjYwYSExJQXl+7lx/OW0lOfoGHnUldUjgREZGw8p0LOvCPcYOIjQ4GlHc+38f0uZlk5ymgNAQKJyIiEnau7teetAnJxMUE/5n6YOMBpj6bwelcBZRIp3AiIiJh6fJebXn61iEkxAb/qfrvlweZNHs5J3PyPexMapvCiYiIhK1LerZm9qShNI6LDtTStxzm1qeXczw7z8POpDYpnIiISFhLObcVcyYPpWl8TKCWse0I459aTtZpBZRIpHAiIiJhL7lbS+ZOGUpiQjCgrN5xlHGz0jlyMtfDzqQ2KJzUADNramb3mNlrZnbAzJyZ3el1XyIikWRglxYsmJZC88axgdraXccYMzOdQydyPOxMaprCSc1oDfweuABY5XEvIiIRq3/HJBZMS6FVk7hAbcPe44xOS2f/8WwPO5OapHBSM/YAHZ1znYFUr5sREYlkfTo0Y2FqCm0S4wO1L/afYPSMdPZmKaBEAoWTGuCcy3HO7fa6DxGRhqJnu0QWpabQvllCoLbl4ElGpS1l19HTHnYmNUHhRERE6qVz2zRl0fQUOjZvFKhtO3SKUTOWsuPwKQ87k+oK23BiZolmdp2Z3Wtmr5vZQf+Jps7MelfwM9qb2aNmttnMss1sn5ktMbMra7t/ERGpfV1bNWHR9BQ6twwGlJ1HTjNyxlK+OnjSw86kOsI2nABXAi8DdwPXAK0qs7GZXQisBW4HzgVy8J24+l3gbV1NIyISGTq1aMzi6cPp3rpJoLYnK5tRM5by5f7jHnYmVRXO4QRgP/AacA+VONHUzBoB/8YXaFYB/Z1zSUAL4K+AAfeb2dUltrssZO/M2R7frKGfUUREqqlDUiMWpabQo00woOw/nsPotHQ27lVAqW9izr6KZ5Y4514qemNm3Sqx7XSgK3ACGOGc2wXgnDsG3GFmPYAbgPuBt0K22wT8sILf8Xkl+hERkVrWtlkCC1OHc8usZWzc5wskB0/kMjptKXOnDKN/xySPO5SKCttw4pyrzm0nx/mf5xcFkxIewhdOBplZb+fcBv937gaerMb3ioiIh9okxrMgNYVbZi1j/Z5jABw5lcfYmenMnTKMAZ2be9ugVEi4H9apNDNLBAb7375ZxmrpQJb/9RW13pSIiNSZlk3iWDAthQGdgntKjmXnc8usZWRuO+JhZ1JRERdOgD74zikBWFfaCs65QmCj/23fmvhSM7vNzO4GbvOXLjezu/0P7UsUEalDSY1jmTt1GIO6NA/UjufkM+GpZSzbcsi7xqRCIjGcdAh5Xd7EaEXLOpSzTmXcAdwL/NL//mr/+3vxnYgrIiJ1qFlCLHOmDGNo95aB2sncAiY+s4KPvzzoYWdyNpEYTpqEvC5vmsCiGXqa1sSXOue6OeesjMfW0rYxs1QzyzCzjAMHDtREGyIiEqJpfAyzJw3h4h7B2ShO5xUwefYKPtykv3fDVSSGEzv7KuHBOZfmnEt2ziW3adPG63ZERCJS47gYnp44hG+cH/x7Nie/kGnPZvDO+n0ediZlicRwciLkdaMy14LGpawvIiIRKCE2mrTxg7myd9tALbegkB/My+SNtXs87ExKE4nhJPQ8k3PKWa9omX4rRUQagITYaP55y2Cu6dc+UMsvdPx4/iqWrNG9W8NJJIaTDYDzv+5X2gpmFgX08r9dXxdNlcXMRphZWlZW1tlXFhGRaomLieLxsQMZMSD4f9eCQsdPF67ihZU7PexMQkVcOHHOHQcy/G+vKmO1YUDR5b3v1npT5XDOLXHOpSYl6WpjEZG6EBsdxd9GXcRNAzsGaoUOfvl/a1i8YoeHnUmRiAsnfvP9z+PMrLRLhe/wP2c65zaWslxERCJYdJTx0PcHMCq5c6DmHPz6X58yN32bh50JhHk4MbPWRQ+KzxXSPHSZ/zBNqBnANiAReMXM+vo/L9HMHgRu8q93V23/DCIiEp6io4z7b7qAW1K6FKv/7qW1PP3frzzqSiCM763jV9ZF6EtLvO8ObC1645w7bWbX4ztkMwhYZ2bH8M1pEoXvnJS7nHNv4TEzGwGMOO+887xuRUSkwYmKMu69vj+x0VE88/HWQP2Pr6wnr6CQ6Zf28K65Biys95xUh3NuDdAfeAzYAsQDh4BXgauccw942F6AzjkREfGWmfH77/Zl+qXnFqvf//oGHn/3C4+6atjCes+Jc65aE6o55/YCP/U/RERESmVm3HlNb+Kjo3jsvS8D9b++vYm8gkJ+ftX5mNWbOT7rvYjdcyIiIlIZZsYvru7FL686v1j9sfe+5IE3NuCcK2NLqWkKJyIiIiF+cmVPfvvt3sVqMz7cwh9fWa+AUkcUTjymSdhERMLP9Et78Pvv9i1We+bjrfzu5bUUFiqg1DaFE4/phFgRkfA0+ZLu3HtD/2K1eenb+e0Lnymg1DKFExERkTKMT+nKn2++gNBzYRdl7OCO59dQoIBSaxROREREyjFqSBf++v0BRIUElBdW7uJni1aTV1DoXWMRTOFERETkLG4a1Im/jR5IdEhCWbJmNz+Zv4rcfAWUmqZwIiIiUgHXDTiHJ8YMJCYkoLyxbi8/ei6TnPwCDzuLPAonHtPVOiIi9ce3L+jAk7cMJi46+M/nO5/vZ9qcTLLzFFBqisKJx3S1johI/fLNvu1ImzCY+JjgP6EfbTrA5NkrOJWb72FnkUPhREREpJIu69WWpycOISE2+M/oJ5sPMfGZFZzIUUCpLoUTERGRKvjaea15dtJQmsRFB2rLvzrMhKeWcSw7z8PO6j+FExERkSoadm4r5kwZSmJ88D66K7cfZfysZWSdUkCpKoUTERGRahjctSXzpg6jWUIwoKzZmcXYWekcPpnrYWf1l8KJiIhINQ3o3Jz501Jo3jg2UFu3+xhjZ6Zz8ESOh53VTwonHtOlxCIikaF/xyQWpqbQqklcoLZh73FGp6Wz/1i2h53VPwonHtOlxCIikaN3+2YsTE2hTWJ8oPbl/hOMSktnT9ZpDzurXxROREREalDPdoksSk2hfbOEQO2rgycZOWMpOw6f8rCz+kPhREREpIad26Ypi6cPp2PzRoHajsOnGZ2WzrZDJz3srH5QOBEREakFXVo1ZtH0FLq0bByo7Tp6mlEz0tly4ISHnYU/hRMREZFa0qlFYxZPH865rZsEanuPZTMqLZ0v9h33sLPwpnAiIiJSi9onJbAwNYWebZsGageO5zA6LZ3P9xzzsLPwpXAiIiJSy9o2S2BBagq92ycGaodO5jJmZjprd2kqiZIUTjymeU5ERBqG1k3jWTAthf4dmwVqR0/lMXZmOqt3HPWusTCkcOIxzXMiItJwtGgSx3NTUxjQuXmgdiw7n1tmLSNz22HvGgszCiciIiJ1KKlRLPOmDCW5a4tA7UROPuOfWk76lkMedhY+FE5ERETqWGJCLM9OHsqw7i0DtVO5BUx8Zjkff3nQw87Cg8KJiIiIB5rExzB70lAuOa91oJadV8jk2Sv4YON+DzvznsKJiIiIRxrFRTPr1mQu69UmUMvJLyR1TibvrN/nYWfeUjgRERHxUEJsNDPGD+aqvu0CtdyCQn4wL5PXP9vjYWfeUTgRERHxWHxMNP8YN4jvXNA+UMsvdNy2YBUvr97lYWfeUDgREREJA7HRUTw2eiDXDTgnUCsodPx80Wqez9zpYWd1T+FEREQkTMRER/HIqIu4eVCnQK3Qwa+eX8PC5ds97KxuKZyIiIiEkego46HvXcjoIZ0DNefgzhc+Y+7Srd41VocUTjym6etFRKSkqCjjvhsvYHxK12L13728jqf++5VHXdUdhROPafp6EREpTVSU8cfr+zHlku7F6ve+sp5/frDZo67qhsKJiIhImDIz7r62Dz+4tEex+p/f2MBj737hUVe1T+FEREQkjJkZv7mmF7df2bNY/eG3N/GXNzfinPOos9qjcCIiIhLmzIxfXHU+d1x9frH6E+9/yQOvb4i4gKJwIiIiUk/cdkVP7vpO72K1GR9t4Y+vrI+ogKJwIiIiUo+kfqMHfxjRt1jtmY+3cvdLayksjIyAonAiIiJSz0z6Wnf+dEP/YrXnlm3nzhc+pSACAorCiYiISD10S0pXHrz5QsyCtcUZO7nj/9aQX1DoXWM1QOFERESknho5pDMPjxxAVEhAeXHVLn62aDV59TigKJyIiIjUYzcO7MSjowcSHZJQXvl0D7fNX0lufv0MKAonIiIi9dyIAefw97EDiY0OBpQ31+3jh/Myyc4r8LCzqlE4ERERiQDX9O/Ak7cMJi46+E/7uxv2kzq3/gUUhRMREZEIcWWfdsy8NZn4mOA/7x9tOsDk2Ss4lZvvYWeVo3AiIiISQS49vw3PTBxCo9joQO2TzYeY+PQKTuTUj4CicOIxMxthZmlZWVletyIiIhHi4vNa8+zkoTSJCwaU5VsPM+GpZRzLzvOws4pROPGYc26Jcy41KSnJ61ZERCSCDO3ekjlThpEYHxOordx+lFtmLSPrVHgHFIUTERGRCDW4awvmTR1Gs4RgQPl0ZxZjZqZz+GSuh52VT+FEREQkgg3o3JwFqSm0aBwbqK3fc4wxaekcOJ7jYWdlUzgRERGJcP3OSWJh6nBaN40L1DbuO87otKXsO5btYWelUzgRERFpAHq1T2Rh6nDaJsYHapsPnGTUjKXsPnraw87OpHAiIiLSQJzXtimLpg+nQ1JCoLb10ClGpS1lx+FTHnZWnMKJiIhIA9K9dRMWTx9Ox+aNArUdh08zasZSth486WFnQQonIiIiDUznlo1Z/IPhdG3VOFDbnZXNqLSlbD5wwsPOfBROREREGqCOzRuxKHU457ZpEqjtO5bDqBnpbNp33MPOFE5EREQarPZJCSxMTeH8dk0DtYMnchidls763cc860vhREREpAFrm5jAgmkp9OnQLFA7fDKXMTPT+WynN7dWUTgRERFp4Fo1jWfBtGFc0DF4K5Ws03mMnZXOqu1H6rwfhZMaYGZDzOwxM/vMzE6Y2W4ze8XMkr3uTUREpCKaN45j3tRhXNS5eaB2PDuf8U8tZ8XWw3Xai8JJzfgNMBL4APg58AjQC1hmZt/xsC8REZEKS2oUy9wpQxnSrUWgdiInn1ufXs7SzYfqrA9zztXZl0UqM7sYyHDO5YbUWgDrgL3OuUFn+4zk5GSXkZFRi12KiIhUzMmcfKY+m8HSLcFAkhAbxcwJyXy9Z5sa+x4zy3TOnXGUQXtOaoBz7pPQYOKvHQHeB/p605WIiEjVNImP4emJQ/h6z9aBWnZeIVOezeD9Dftr/fsVTmrXOcBBr5sQERGprEZx0cyckMzlvYJ7SgoLHfmFtX/EJWzDiZklmtl1Znavmb1uZgfNzPkfvSv4Ge3N7FEz22xm2Wa2z8yWmNmVddD/14BLgUW1/V0iIiK1ISE2mifHD+aqvu2IjjIeHzOQq/q2q/XvDdtzTszsBuDFMhb3cc5tOMv2FwLvAa38pWNAU3yBzAF3OeceqJluz/jutsAKoBAY4Jw760w2OudERETCVV5BISu3HWHYua3OvnIl1NdzTvYDrwH3AKkV3cjMGgH/xhdMVgH9nXNJQAvgr4AB95vZ1SW2uyxk78zZHt8s47sT/T0nAiMqEkxERETCWWx0VI0Hk/LE1Nk3Vd4S59xLRW/MrFsltp0OdAVO4AsIuwD8QeEOM+sB3ADcD7wVst0m4IcV/I7PSxb8oWgJ0Ae4yjm3thI9i4iICGEcTpxzBdXYfJz/eX5RMCnhIXzhZJCZ9S46ROSc2w08WZUvNLNY4HngYuA659wnVfkcERGRhi7cD+tUmv+wymD/2zfLWC0dKLphwBU18J1RwHPANcAE59wb1f1MERGRhips95xUQx9855SAbxK0MzjnCs1sIzCUmpmH5C/A94G3gRgzu6XE982rge8QERFpECIxnHQIeb27nPWKlnUoZ52KKpoB9ir/oySFExERkQqKxHDSJOT16XLWO+V/blrdL3TOXVaV7cwsFf9VSF26dKluGyIiIhEh4s45IXhIJ+w559Kcc8nOueQ2bWruXgUiIiL1WSSGkxMhrxuVs17jUtYXERERj0ViOAk9z+ScctYrWranFnsRERGRSorEcLIB3/T0AP1KW8F/6W8v/9v1ddFUWcxshJmlZWVlnX1lERGRBiDiwolz7jhQdJOa0q6cARgGJPlfv1vrTZXDObfEOZealJR09pVFREQagIgLJ37z/c/jzKy0S4Xv8D9nOuc21lFPIiIiUgFhHU7MrHXRA99N+4o0D13mP0wTagawDd/N914xs77+z0s0sweBm/zr3VXbP4OIiIhUTrjPc3KgjPrSEu+7A1uL3jjnTpvZ9fgO2QwC1pnZMXxzmkThOyflLufcW4iIiEhYCes9J9XhnFsD9AceA7YA8cAh4FV8dwx+wMP2AnRCrIiISHHmnDv7WlLrkpOTXUZGxtlXFBERiRBmlumcSz6jrnASHszsAL7zZGpKa+BgDX5eQ6VxrD6NYfVpDKtPY1h9tTGGXZ1zZ0yRrnASocwso7Q0KpWjcaw+jWH1aQyrT2NYfXU5hhF7zomIiIjUTwonIiIiElYUTiJXmtcNRAiNY/VpDKtPY1h9GsPqq7Mx1DknIiIiEla050RERETCisKJiIiIhBWFkwhiZu3N7FEz22xm2Wa2z8yWmNmVXvcWDvz3VrrOzO41s9fN7KCZOf+jdwW2jzOzX5vZajM7YWZHzWypmaWamdXFz+A1M+tiZj/z/15tN7McMztuZmvM7IEybrQZun2DH0MAM0v2/x6+YWZfmlmWfyx3mdnLZnbDWbbXOJZgZk3NbEfIn+mJ5ayr8QPMbGLIeJX1OFHO9rU3js45PSLgAVyIb3Ic539kAQX+14XAnV736PUDuCFkfEo+ep9l22ZARsj6J4GckPdLgBivf8ZaHr/O/t8lV+L3LD/k/WHgco3hWcfyyRLjeBw4XaL2PBCrcazwmP6txPhN1O/hWcdsov9nzgX2lvHY7MU4as9JBDCzRsC/gVbAKqC/cy4J352c/woYcL+ZXe1dl2FjP/AacA+QWontZgKD8f3jOwLfTSQb4/vDnQ181/+ZkSza//wq8H2gpf/3rDHwHeArfL9zL5lZ+1K21xgGLQV+jm88Ep1zic65RkAX4CH/OjcDd5ayrcaxBDMbBNwGLKvA6hq/M33inGtfxqNHGdvU7jh6ndz0qP4D+BnB/311LGX5i/7lmV736vE4RZd4340K7DkBBoasd10py3/qX3YKaOv1z1mL45cEDChneW+C//v/g8awWmM91z8em0vUNY5n/sxRwAp8e/BCx2diKetq/Ir/vBP9P+8Hldyu1sdRe04iwzj/83zn3K5Slhf9T2xQRc6tiFTOuYIqbjrW/7zROffvUpan4Tu80Qi4qYrfEfacc1nOd7fvspZvANL9bweXWKwxrJwV/udzStQ1jmf6CZAM/NM5t+os62r8akatj6PCST1nZokE/yF4s4zV0vH9ogBcUetNRZ7L/c9vlbbQOXca+I//bUMf30P+5+gSdY1h5Vzsf/6qRF3jGMLMOgL3AvuAuyuwicavZtT6OCqc1H998J1TArCutBWcc4XARv/bvnXRVKTwn3FetLep1PH1W+9/brDja2YxwNf8b9eG1DWGFeC/2uRCM/s7MMpffiJkucbxTI8DicAdzrms8lbU+JWrn5mtM7PT/qvv1prZI2bWveSKdTWOMVXZSMJK6KWbu8tZr2hZuZd6yhmaAU38rzW+5fsx0B7fFT1zQuoawzKYWSdgRymLsoH7nHP/CKlpHEOY2QjgRnznS8yrwCYav7K1xndBxRF849TP/5huZlOdc/ND1q2TcdSek/qvScjr0+Wsd8r/3LQWe4lEGt8KMLMLgfv8b59wzoX+j0pjWLYCfIck9uG7nBN8J3beT8heEz+No5+ZNcE3Pnn4QnFFaPzOtBv4A9AfSHDOtcL3c1+Lb89HI2COmX0jZJs6GUeFk/qvwUwY5JHQ8dWNqErhn3jtJXyXEWYCvym5SshrjWEI59we579kE98/BL3w7XW6B1htZv1CVtc4Bv0R32XXjzjn1p9tZT+NXwnOubecc390zq1zzuX6aznOudfwnff0Jb7zxx4I2axOxlHhpP4Lnb2vUTnrNS5lfTm70PFqXOZaDXR8zawlvpPiugNfANc657JLrKYxrADnXKFzbpNzbgrwML5/fOeZWdHf0xpHwMwuwnep6g58IaWiNH6V4D+Hp2hvaIqZtfG/rpNxVDip/0KP+ZW87JBSlu2pxV4i0TF8Mx+CxrcYM0vCd4VYf2A78E3n3L5SVtUYVt7j/ueL8M0pARrHIo/i+9/8/+A7P7Np6CNkvXh/regfSY1f5RVNamf45oWCOhpHhZP6bwPBXWv9SlvB/z+vXv63Fd0FKoDzzSj0uf9tqePrV3RGeoMYX/8x/9fwzS+xF18w2V7auhrDKgmdr6gHaBxDdPU/z8E38WTJR5En/e/Xg8avis44hFNX46hwUs85547ju78BwFVlrDYM3+yeAO/WelOR533/c6nja2YJwNf9byN+fP23S1iC75j0IXzB5IuzbKYxrJzQSzhDd4trHKtH41c5Q0Nebwt5XevjqHASGYou8xpXxl1h7/A/ZzrnNpayXMq3wP/c28y+W8ryafjC32l8twqIWGYWB7yAbxKmo8DVJa7MKYvG0M/Moitwx9Zf+Z/z8d2Hp0iDH0fnXDfnnJX1CFl1kr/WLaTW4MevyNl+B82sGcF7Oy13zh0IWVz74+j13P56VP+B70TYrfjvnwP09dcTgQcJ3gPhaq979fqB73r+okfo/SFSSiyLKrHdIv96B4Hv+GvRwAR8l8w54P95/fPV8thF47tTrsN33Dmlkts3+DH0/8zd/H9OJwOdQupR+M4xeS7k9/JhjWOlx7fMe+to/M74PUwHpgBdQupxwDXAZ/6xKACuqOtxNP8HSj1nZgPw7T5r5S8dw3d9eRS+X5K7nHMPlLF5g2FmFf2F7+6c2xqyXTPgPYK3CjiF7w9ivP/9K8CNzrn8Gmo17PjnOvjQ/zab4C0RSrPDOTekxPYNfgwBzKwbxaelz8Z36CaR4FgAzAamlRwPjWP5Qv6MT3LOzS5lucaPMn8PT+KbZC3WXzsF/MA5N7eU7Wt1HHVYJ0I43w3Z+gOPAVvw/YIcwnd7+6sUTKrHOXcM3zkWdwJr8AW+HHz/85iO786cEf2XGcX/vkgA2pXzaFNyY41hwG5809OnAavxhbzm+CYUWw88BVzinJtU2nhoHKtH4xewD7gdWIzv9ian8B2KOYXvPMY/49sLf0YwgdofR+05ERERkbCiPSciIiISVhROREREJKwonIiIiEhYUTgRERGRsKJwIiIiImFF4URERETCisKJiIiIhBWFExEREQkrCiciIiISVmK8bkBE5GzMLAa4BRgNDMB3D6mTwF58t2v4CHjPObciZJuLgBuAraXdY0VEwpemrxeRsGZmbYDXgOSQcja++3g0A4pu/Z7lnGsest1E4BngQ+fcZXXRq4jUDB3WEZFwNw9fMDkO/Bro4Jxr5A8iScBVwD+Ao141KCI1S4d1RCRsmVlv4Gr/28nOuedDlzvnjgPvAO+Y2R113Z+I1A7tORGRcHZByOtXylvROXe66LWZOXyHdAAuNTNX4nFZye3N7BIzW2hmO80sx8wOmdk7ZjbGzKyU9S/zf9ZW//sRZva+mR0xsxNmttTMxlb+RxYR7TkRkfqiI7C5guvuAxrhOyclDzhcYnlu6Bsz+zO+Q0ZFjgPNgSv9j+vMbJxzrrC0LzOznwJ/AxyQ5f/uFCDFzIY7535Swb5FBO05EZHwlhny+u/+k2PPyjnXHvip/+0nzrn2JR6fFK3rDxa/Bg4APwJaOOeaAU2AkcAefFcJ/aaMr2sDPATMwXc+TAugNfBX//LbtAdFpHJ0tY6IhDUzexaY4H+bC/wHSAdW4AseB8rYbiJnuVrHzJoDO4AE4GvOueWlrJMCfILvhNv2zrlcf/0y4H3/am8D33Il/kI1s9nArcCXwPkll4tI6bTnRETC3TTgYXzBJA7fYZb/AV4C9pvZcjMbV9p5IRVwM9AU+G9pwQTAOZeOby6VFsDgMj7n/jKCx//zP5+Hb34WEakAhRMRCWvOuVzn3C+BzsAPgAXAF/jO7wAYgu9y40VmVtm/0y72Pw8zs71lPYAu/vU6l/IZecDHZfT+Bb7DQgCDKtmbSIOlE2JFpF5wzu0HZvgfmFk7YATwe3yh4fv4QsKjlfjYDv7nRv7H2TQupXaw6FBPGXb5v6dC58uIiPaciEg95Zzb55ybhW+PxD5/eXIlP6bo78BHnHNWgcfsKrRalcNNIg2awomI1GvOuYPAy/6351dy86JQ07caLbQ2s7hylhftnSn1xF0ROZPCiYhEgpP+59DDK0VzkpS352Kp//lSM2tVxe+OBYaXtsDMzgPO8b9dWcXPF2lwFE5EJGyZWXcz63GWdRrju/swwOqQRcf8z83L2fz/8AWbBHxzlZT3PS3KWfzbMq4W+q3/+QtgTXmfLyJBCiciEs76ARvN7AUzG2lmRYdIMLMmZjYC37wn3f3l0JNh1/mf+5rZsNI+3Dl3iGCAmGRmi82sf8h3JPintf87ZVyRA5wCrgCeMrO2/u2a+2edLToH5n81x4lIxWkSNhEJW2b2LeCNEuXT+A7fJIXUCoDfO+fuK7H9h8A3/G8P45uWHmC0f/6SovXuBv5I8BDQKSDH/x1F/4nb6pzrHrLNZfgmYduGb+r6R/Bd3ny0xHZ/d87dVrGfWERA4UREwpyZnY/vkuFLgP747rEThy9obAE+AmY559aVsm0rfKHj2yHbAVzunPugxLoXALcBlwOdgGh8J7F+CvwbeMF/OXPR+pfhDyfOuW7+vTi/AAbiOw/lU+AJ59xz1R0DkYZG4UREpApKhhNPmxGJMDrnRERERMKKwomIiIiEFYUTERERCSsKJyIiIhJWdEKsiIiIhBXtOREREZGwonAiIiIiYUXhRERERMKKwomIiIiEFYUTERERCSsKJyIiIhJW/j8X8ZkoqSqUSgAAAABJRU5ErkJggg==\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -270,10 +206,8 @@
},
{
"cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 57,
+ "metadata": {},
"outputs": [],
"source": [
"# U is an orthonormal basis of a random 100-dimensional subspace.\n",
@@ -287,34 +221,34 @@
},
{
"cell_type": "code",
- "execution_count": 8,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 58,
+ "metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 8,
+ "execution_count": 58,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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lE5AWyRtXdIeZXelPFNmFmY0ws+sk3SFvvNIvkvg+5LB5gYC0YXeTava2hlgN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\nRU5ErkJggg==\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
"source": [
- "x0 = np.random.normal(0, 1, (1000))\n",
+ "x0 = proj(np.random.normal(0, 1, (1000)))\n",
"xs = gradient_descent(x0, [0.1]*50, quadratic_gradient, proj)\n",
"# the optimal solution is the projection of the origin\n",
"x_opt = proj(0)\n",
@@ -333,19 +267,19 @@
},
{
"cell_type": "code",
- "execution_count": 9,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 59,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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pOd/w0PuryQ/Yvrl2cgKPXNGVX3Rp5mF1IiJFtOuySIwyM249vw3TbulFw9rJ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\nsmJmZmaV5mTFzMzMKu3/AcO8GpsSKfUJAAAAAElFTkSuQmCC\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -369,19 +303,17 @@
"=\\frac1{2m}\\|Ax-b\\|^2$$\n",
"
\n",
"\n",
- "We can verify that $\\nabla f(x) = A^\\top(Ax-b)$ and\n",
- "$\\nabla^2 f(x) = A^\\top A.$\n",
+ "We can verify that $\\nabla f(x) = \\frac{1}{m}A^\\top(Ax-b)$ and\n",
+ "$\\nabla^2 f(x) = \\frac{1}{m} A^\\top A.$\n",
"\n",
"Hence, the objective is $\\beta$-smooth with \n",
- "$\\beta=\\lambda_{\\mathrm{max}}(A^\\top A)$, and $\\alpha$-strongly convex with $\\alpha=\\lambda_{\\mathrm{min}}(A^\\top A)$."
+ "$\\beta=\\lambda_{\\mathrm{max}}(\\frac{1}{m}A^\\top A)$, and $\\alpha$-strongly convex with $\\alpha=\\lambda_{\\mathrm{min}}(\\frac{1}{m}A^\\top A)$."
]
},
{
"cell_type": "code",
- "execution_count": 10,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 60,
+ "metadata": {},
"outputs": [],
"source": [
"def least_squares(A, b, x):\n",
@@ -402,10 +334,8 @@
},
{
"cell_type": "code",
- "execution_count": 11,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 61,
+ "metadata": {},
"outputs": [],
"source": [
"m, n = 1000, 100\n",
@@ -426,19 +356,19 @@
},
{
"cell_type": "code",
- "execution_count": 12,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 62,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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EEXHIeZiskMM8ObwDlu9JQmGJcWHD2asOY0S3KPh6OWYAFlFtiAiCg4Mddtma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\nKC4+0WVMK3XTihHBnUOxsnXh5zu2/QYw+JDeS6aDqSX9Beg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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -462,19 +392,19 @@
},
{
"cell_type": "code",
- "execution_count": 13,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 63,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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PKZzhNjM7TzdOStfOA1kedgUACCbCCsLePed30qnt6/m3t2Zk6qZX5yorJ9fDrgAAwUJY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\n1D0ceAswB/grYC/SoNh7gR8BX4uIPxfqzyYnKxExJR/l+Wf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+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -488,24 +418,24 @@
"source": [
"### Underdetermined case $m < n$\n",
"\n",
- "In the underdetermined case, the least squares objective is inevitably not strongly convex, since $A^\\top A$ is a rank deficient matrix and hence $\\lambda_{\\mathrm{min}}(A^\\top A)=0.$"
+ "In the underdetermined case, the least squares objective is inevitably not strongly convex, since $\\frac{1}{m}A^\\top A$ is a rank deficient matrix and hence $\\lambda_{\\mathrm{min}}(\\frac{1}{m}A^\\top A)=0.$"
]
},
{
"cell_type": "code",
- "execution_count": 14,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 64,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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C3jWz/oHzJZnZA8CFgXa3R/o7iDdOH9CBv14wqETsL+9+y9srKpraSERE6qPG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\nhgIbERERyRgKbERERCRj/H+EACGDzzIy6AAAAABJRU5ErkJggg==\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -534,29 +464,29 @@
},
{
"cell_type": "code",
- "execution_count": 15,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 65,
+ "metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 15,
+ "execution_count": 65,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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0n/l5DlhP/zNfHgQOzcx2D7vbpLe3NxctWtRJVUmSukJE3JmZvQPV67ozMACZ+RuKAHIe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\niYgrgDeXq89S3DJ9B/CfFOFkSYt2ZzD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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -586,10 +516,8 @@
},
{
"cell_type": "code",
- "execution_count": 16,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 66,
+ "metadata": {},
"outputs": [],
"source": [
"def least_squares_l2(A, b, x, alpha=0.1):\n",
@@ -608,10 +536,8 @@
},
{
"cell_type": "code",
- "execution_count": 17,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 67,
+ "metadata": {},
"outputs": [],
"source": [
"m, n = 100, 1000\n",
@@ -625,18 +551,16 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "Note that we can find the optimal solution to the optimization problem in closed form without even running gradient descent by computing $x_{\\mathrm{opt}}=(A^\\top+\\alpha I)^{-1}A^\\top b.$ Please verify that this point is indeed optimal."
+ "Note that we can find the optimal solution to the optimization problem in closed form without even running gradient descent by computing $x_{\\mathrm{opt}}=(\\frac{1}{m}A^\\top+\\alpha I)^{-1}\\frac{1}{m}A^\\top b.$ Please verify that this point is indeed optimal."
]
},
{
"cell_type": "code",
- "execution_count": 18,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 68,
+ "metadata": {},
"outputs": [],
"source": [
- "x_opt = np.linalg.inv(A.T.dot(A) + 0.1*np.eye(1000)).dot(A.T).dot(b)"
+ "x_opt = np.linalg.inv(A.T.dot(A)/m + 0.1*np.eye(1000)).dot(A.T).dot(b)/m"
]
},
{
@@ -648,19 +572,19 @@
},
{
"cell_type": "code",
- "execution_count": 19,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 69,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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ZskOHXtf6iJjrzthXnzi0+7PUAfDH22+/rb322svvMvqVpUuXauzYsZIY/5YtPf09NrN5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\nNIhfBQe451Sp294AAAAASUVORK5CYII=\n",
+ "image/png": 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AEVCt7lIhbwAAQozAkSGZn2k0GWM4AKBto0ePlnOOnuCAI3BkSPZnGs3I2wIA4AsCR0AxaBQAkEsIHAHFoFEAQC4hcAQUg0aB8OIPBIRZtn5+CRwBxaBRIJyi0aiampr8rgbQY01NTYpGoxl/XwJHQLVevA1AGBQXF8dXOAXCqLa2ttWKuplA4Aio1ou3ETmAMCgrK9P69evp5UAoNTU1af369SorK8v4e7deNg+BwG2xQDiVlpaqvr5eS5Ys0cCBA9W/f39Fo9FWd54BQeGcU1NTk2pra7V+/XqVlJSotLQ0459D4AgoU+qgURIHEAZmpiFDhqimpkbV1dVavXo1vR0IvGg0quLiYlVWVqq0tDQrAZnAEVARejiA0DIzlZWVZaVbGggrxnBkSManNk9Jl80EDgBAiBE4MiTTU5u36uHgPhUAQIgROAKKHg4AQC4hcIQFgzgAACFG4AiwxMsq9HAAAMKMwBFgiZdVGMMBAAgzAkeAJfZwcEUFABBmBI4AS5z8i0sqAIAwI3AEWOKNKlxSAQCEGYEjwIxLKgCAHEHgCLDEJepZSwUAEGYEjgBLnPqLMRwAgDAjcARYcg+HjxUBACBNBI4gS5r4i8QBAAgvAkeGZHq1WCm5hwMAgDAjcGRIpleLlZLvUqGHAwAQZgSOAEvs3yBvAADCjMARYImXVOjhAACEGYEjwJJnGgUAILwIHAFm3BYLAMgRBI4ASx7DQeIAAIQXgSPAmPgLAJArCBwBxm2xAIBcQeAIsKQeDh/rAQBAuggcIUEPBwAgzAgcARZJ/O6QNwAAIUbgCDATE38BAHIDgSPAIkz8BQDIEQSOALOkqc19rAgAAGkicARY0tTmXFIBAIQYgSPAWC0WAJArCBwZYmbTzez2qqqqTL5n/LVjFAcAIMQIHBninJvlnDuzvLw8Y++ZNGiUvAEACDECR4BxWywAIFcQOALM6OEAAOQIAkeAcVssACBXEDgCLHEMB1N/AQDCjMARYMnL0/tXDwAA0kXgCLCk5ekZxAEACDECR4AlXlGhhwMAEGYEjgBLnvgLAIDwInAEGGupAAByBYEjwJLHcPhYEQAA0kTgCLDkMRwkDgBAeBE4AoyZRgEAuYLAEWCsFgsAyBUEjgDjtlgAQK4gcARYJOmain/1AAAgXQSOAEue2pzEAQAILwJHgEWY+AsAkCMIHAFGDwcAIFcQOALMmPgLAJAjCBwBlniXClObAwDCjMCRIWY23cxur6qqyth7RrhJBQCQIwgcGeKcm+WcO7O8vDxj75l4SYUxHACAMCNwBFiEqc0BADmCwBFoiT0cPlYDAIA0ETgCLHnxNhIHACC8CBwBxiUVAECuIHAEmInVYgEAuYHAEWCRhO8OPRwAgDAjcASYidtiAQC5gcARYKxODwDIFQSOAGMtFQBAriBwBFiE22IBADmCwBFgiYu3MfEXACDMCBwBFjFuiwUA5AYCR5AldHE0N/tXDQAA0kXgCLDEHg4AAMKMwBFgyWM4uKQCAAgvAkeAGWupAAByBIEjwBIvqdDDAQAIMwJHgDHTKAAgVxA4AoyZRgEAuYLAEWCJg0aZaRQAEGYEjgBLnvgLAIDwInAEWOIYDgaNAgDCjMARYBHGcAAAcgSBIyTo4QAAhBmBI8Ai3BcLAMgRBI4AYwwHACBXEDgCLEIHBwAgRxA4AsyY2hwAkCMIHBliZtPN7PaqqqrMvWfCa/IGACDMCBwZ4pyb5Zw7s7y8PGPvydTmAIBcQeAIsOSbVEgcAIDwInAEWNKgUfIGACDECBwBZmLQKAAgNxA4AozbYgEAuYLAEWQMGgUA5AgCR4Al9nBIkiN1AABCisARYKbkxNFM3gAAhBSBI8Do4QAA5AoCR4BZSuCghwMAEFYEjgCzlMTB5F8AgLAicARYag8HV1QAAGFF4AiwSGoPB4EDABBSBI4AS+ngYLZRAEBoETgCrNUlFX+qAQBA2ggcAdb6kgqRAwAQTgSOEOG2WABAWBE4Aiy1h4NrKgCAsCJwBFjrib9IHACAcCJwBFirMRw+1QMAgHQROAIstYejiUEcAICQInAEWDTCXSoAgNxA4AiwvJTA0UgPBwAgpAgcAZY6hoNLKgCAsCJwBFhelMABAMgNBI4Ai0aSvz1cUgEAhBWBI8CiXFIBAOQIAkeApd6lQuAAAIQVgSPAUu9SIXAAAMKKwBFgqT0cjc3NPtUEAID0EDgCLDVwsJYKACCsCBwB1mriryYCBwAgnAgcARZhDAcAIEcQOAKMqc0BALmCwBFgrW6LZQwHACCkCBwB1ipwMIYDABBSBI4Aa31bLIEDABBOBI4Ay0tZS4XbYgEAYUXgCLBoyneHHg4AQFgROBKY2RfM7GYzm2dmtWa23MweMbPJftQndbXYJmYaBQCEFIEj2U8kfVXSs5J+KOlGSTtLetXM/qu3K9N6LZXergEAAJmR53cFAuYGSd9wzjW07DCzP0l6X9KVkh7rzcq0nviLxAEACCd6OBI4515KDBvevg2SZkvatbfrw8RfAIBcQeDomhGS1vb2h7ZavI3AAQAIqcAGDjMrNbPjzOwKM3vczNaamfMeE7r4HsPM7CYzW2Rmm81slZnNMrNDu1GPL0o6WNI/e/q19FTU6OEAAOSGII/hOFTSgz092cz2kPSMpEHermpJlZKOlXSMmV3snLu2k/cYIunvkpZIuryndempaJTF2wAAuSGwPRye1YoN1Lxc0pldPcnMiiQ9rFjYeEvSbs65ckkDJP1Gkkm6xsyO6OA9Sr3PLpU03TlX3dMvoqda36VC4AAAhFOQezhmOedmtmyY2ehunHuWpFGSahULC8skyQsNF5jZOEkzJF0j6cnUk73AMkvSLpIOd86917MvIT0RLqkAAHJEYHs4nHNNaZx+svf895awkeJ673nv1PEgZpYv6X5J+0v6inPupTTqkRZ6OAAAuSKwgaOnvEsh+3ibT7RT7BVJVd7rLyWcG5F0j6SjJJ3qnPt3turZFa1WiyVwAABCKsiXVHpqF8XGaEixCbtacc41m9l8SVOUPL/GryWdKOkpSXlm9s2U8/6W+eq2z8wUMaklZxA4AABh1ePAYWY3eC9/65z7LEP1yYThCa+Xd1Cu5Vhi+b2958O9R6peDRxSbMXYBm9Oc8ZwAADCKp0ejh9IapR0QYbqkiklCa/rOyhX5z33b9nhnJvWkw80szPl3UWzww479OQt2hWNmOSNZmF5egBAWKUzhmO1pDrnXNAW+LDOi2SWc+5259xk59zkwYMHZ/S9E8dxNDYROAAA4ZRO4HhJUrmZbZ+pymRIbcLrog7KFbdRPnASAweLtwEAwiqdwPFrxTr7f52humRK4riNER2Uazm2Iot1SVvirbFNXFIBAIRUjwOHc+4Vxea7ONrMnjOz481siJn1+iWNFB9JavnNPLGtAt7trzt7mx/0RqV6KpLUw0HgAACEUzp3qSROzHWA92g51t5pzjmX1VtxnXM1ZjZX0hcUu9PkgTaKTZVU7r1+Opv1SVceYzgAADkgnUsq1oNHb0009nfv+WQzG97G8ZY7a95wzs3vpTr1SJRLKgCAHJBOb8OYjNWiHWZWmbA5IOF1Rcqx9Sl3y9wm6TzF1lN5xMxOcc594M1C+nNJX/bKXZyFamdUlEsqAIAc0OPA4ZxbksmKtGNNO/tfTtkeI2lxy4Zzrt7Mjlfscsnekt43s2rF5tyIKDbG42LnXKuF23rKzKZLmj5+/PhMvaWklNtiCRwAgJDKubVUWjjn3pG0m6SbJX0iqZ+kdZIeVWwF2Gsz/HmznHNnlpeXd164GxLHcDQTOAAAIZWxAZxmNkSx3oSWma/WSHrTObe6p+/pnEvrjhfn3EpJ53qPUEpcop4eDgBAWKUdOMzsAElXSjqwnePPS7rEOfdiup/VF+VFGcMBAAi/tC6pmNl3Jc1WLGyYYhOBrfYeTd6+gyU9a2ZnpVfVvika2fYtInAAAMKqx4HDzPaS9DtJUUkvSjpSUqlzbrhzbrikUklHeceikn7nnYNuSOjgIHAAAEIrnR6O873z/yVpmnPuKefclpaDzrkt3l0gB0u6X7HQ8aN0KtsX5SX0cDSylgoAIKTSCRwHK3Z76Q87WjHWO3aeV3ZaGp/XJ0WT7lLxsSIAAKQhncAxWNJG51yni58555ZL2qhtd7Cgi5Ln4SBxAADCKZ3AUS2p1MxKOivolSnzzslJZjbdzG6vqqrK6Psy0ygAIBekEzjeVGxcxg+6UPZcr+wbaXxeoPXGxF+spQIACKt0Asftit32eoWZXWlmrX7TmtlwM7tB0i8VG8Nxexqf1ydFWC0WAJAD0llL5QEzu1vSKZJ+Kul8M3tH0jLFphEfJWlHSfmKBZO/OuceTL/KfUsel1QAADkg3ZlGT5P0oaSLFBujMaWNMtWSrpb06zQ/q09ieXoAQC5IK3A455yka83sZklHqI21VCQ96ZyrS6uWfRiDRgEAuaDHgcPMWgaL3u/d9jrTeyCDoozhAADkgHR6OG5UbL2UP2SoLmhD0vL0XFIBAIRUOoFjraQ851xDpiqD1vKj224k2tLIxF8AgHBKdx6OcjNj9tAsKsqPxl/XNzT5WBMAAHouncBxs3f+zzNUl1DL1kyjxQUJgWNrkxyXVQAAIdTjwOGce1zSBZK+a2Z3m9mkzFUrfLI102hhQuCQpM1buawCAAifdO5S+cR72SjpG5K+YWb1ktYpNpi0Lc45N66nn9kXFecnB466hkYVpYQQAACCLp1Bo6Pb2FfsPdrD9YBuKi5I/hbVb2UcBwAgfNIJHIdkrBZoV+olFQaOAgDCKJ21VJ7LZEXQttRLKvRwAADCqMeDRs1sg5mtM7OxmawQkqWO16ijhwMAEELp3BZbICnqnPuk05LosdTAwSUVAEAYpRM4PlMsdCCLilMDB5dUAAAhlE7geFhSPzM7PFOVQWtFrW6LJXAAAMInncBxtaTFkv5oZrtkpjpI1eqSCj0cAIAQSue22OMl/Z+kSyW9ZWaPS3pZ0hq1P/GXnHN3pfGZfU5qD0d9Q6NPNQEAoOfSCRx3KjaRV8v66cd5j87kZOAws+mSpo8fPz6j75s68ReXVAAAYZRO4HhezBwa55ybJWnW5MmTv5PJ941GTAV5ETV4S9NzSQUAEEbpTPw1LYP1QAeK8qPbAgc9HACAEEpn0Ch6SdIS9QQOAEAIdTlwmNkPzOyMdo71N7OyTs6/0czu6G4FkXynSh2XVAAAIdSdHo7fSvplO8cWSlrfyflfl3RaNz4PnsQ7VTZt4S4VAED4dPeSivXwGNIwqH+/+OvV1Vt8rAkAAD3DGI4QGFFeGH+9oqrex5oAANAzBI4QGF5eFH+9oW6rNjOOAwAQMgSOEBheUZi0vaJqs081AQCgZwgcITAioYdDklZs5LIKACBcCBwhMKw8uYdjOT0cAICQIXCEwIiUSypLN9T5VBMAAHqmu1ObDzSzZ9raL0ntHEsqk6uytXibFFvAbXh5YXzsxlufbcz4ZwAAkE3dDRwFkqZ1cLyjY1IOL/aWrcXbWkwZM1APvb1ckjR38Xo1NjUrL0oHFQAgHLoTOP6atVqgU1PHDIoHjk0NTXp3WZX23mGAz7UCAKBruhw4nHOnZ7Mi6Nh+4wYlbc98axmBAwAQGvTJh8SYyhJN2q48vv3gm8tUs3mrjzUCAKDrCBwhctKUHeKva7Y06o/Pf+JjbQAA6DoCR4jM2GukhpZtW8jtT3M+1ZoaFnMDAAQfgSNECvOjOu+wneLbdQ1NuvnphT7WCACAriFwhMyJ+2ynsZUl8e17Xl2i95ZV+VgjAAA6R+AImbxoRBcdPSG+3eykSx96T83NOTvFCQAgBxA4QujwXYfqkJ0Hx7ff/Gyj7n9zqY81AgCgYwSOEDIzXXbcRBXkbfv2Xfv4R6qq4zZZAEAwEThCatSgEn334HHx7fWbGvTrJ+f7WCMAANpH4Aixs6eN03YDiuLbf3t1ieYtZQApACB4CBwhVpgf1WXTJ8a3nZMumTlPTQwgBQAEDIEj5A7bdagOnTAkvv3O0ird8+oSH2sEAEBrBI4ccNlxE1WYv+1bef2/52tV9WYfawQAQDICR4aY2XQzu72qqvfHUGw/sFg/OHTH+HbNlkb98pEPer0eAAC0h8CRIc65Wc65M8vLyzsvnAXfOXCsdh5aGt9+9N0Vmj1/tS91AQAgFYEjR+RHI7r6y7sl7fv5zPdU39DkU40AANiGwJFD9hk1UCdN2T6+vXRDvW5+hsXdAAD+I3DkmJ8cNUGDSgri2398/hPNX1njY40AACBw5JyK4gJdcuwu8e3GZqefPTiPxd0AAL4icOSgGXuO1BfHD4pvz12yQf+a+7mPNQIA9HUEjhxkZrpyxu5Ji7td8/hHWlu7xcdaAQD6MgJHjhpTWaLvTxsf366q36qrHv3QxxoBAPoyAkcO++60sRo7uCS+/eBby/Tix2t9rBEAoK8icOSwfnlRXTkjeW6OS2a+p81bmZsDANC7CBw5bv9xlfrK3tvFtz9du0m/f3aRjzUCAPRFBI4+4GfH7KKK4vz49v89+7EWrGJuDgBA7yFw9AEDSwp08X9tm5tja5PThfe/qybm5gAA9BICRx9x4j7bJc3N8fbnG3XXy4v9qxAAoE8hcPQRZqZrTthDhfnbvuXXPzFfSzfU+VgrAEBfQeDoQ3YYVKzzD985vl3X0KSfPfienOPSCgAguwgcfczpXxyt3UeWx7efW7BGD7293McaAQD6AgJHH5MXjehXX9lD0YjF910+632tY9pzAEAWETj6oF1HlOmsg8bGtzfUbdUvH/nAxxoBAHIdgaOP+sGhO2ps5bZpzx96e7lmf7TaxxoBAHIZgaOPKsyP6pov756072cPzlPtlkafagQAyGUEjgwxs+lmdntVVZXfVemyqWMH6RtTd4hvL6/arF8/Md/HGgEAchWBI0Occ7Occ2eWl5d3XjhALjp6goaW9Ytv//XlxXpjyQYfawQAyEUEjj6urDBfVxy/bUVZ56QL73+HFWUBABlF4ICOmDhMx+w+PL69aM0m/fY/C32sEQAg1xA4IEm67LiJGpCwouztzy/S259v9K9CAICcQuCAJGlwaT9dnnBppdlJF9zHpRUAQGYQOBA3fY/hOnLi0Pj2x6trddPTXFoBAKSPwIE4M9MVM3ZTRcKlldueW6R3uLQCAEgTgQNJhpQW6vLjJsa3ubQCAMgEAgdaOW7SCB2x67ZLKwtX1+pmLq0AANJA4EArZqYrT0i+tPIHLq0AANJA4ECb2rq08uP739GWRi6tAAC6j8CBdh03aYQOT7i0smAVl1YAAD1D4EC7zExXzdhN5UXbLq3837OL9NZnrLUCAOgeAgc6NKSs9aWVH/3rHdU1sIw9AKDrCBzo1PF7jkiaEOzTtZt0zWMf+VgjAEDYEDjQKTPT1Sfsrsr+25axv/uVJXpuwRofawUACBMCB7pkUP9++tVXdk/a9+P73tHGugafagQACBMCB7rs0F2G6qQp28e3V9ds0c9mvifnnI+1AgCEAYED3XLJMbtqh4HF8e1H312hh99Z7mONAABhQOBAt5T0y9MNX52kiG3b9/OZ72lFVb1/lQIABB6BA902efRAnXXwuPh29eZG/fi+d9XczKUVAEDbCBzokR8etpN2GV4W357z8Vrd9fJi/yoEAAg0Agd6pCAvot9+bU8VRLf9CF3z+Ef6eHWNj7UCAAQVgQM9tvOwUl1w5E7x7S2NzfrBvW+zwBsAoBUCB9JyxgFjNXXMwPj2Byuqdd2/5/tYIwBAEBE4kJZoxHTj1/ZMWuDtjjmf6tn5q32sFQAgaAgcSNuIiqJWs5BecN87WlOzxacaAQCChsCBjDhqt+E6acoO8e21tQ264L53uFUWACCJwIEMuvTYXTVucEl8+7kFa/TnFz/1sUYAgKAgcCBjigqiuuWkvZNulf3Vvz/Se8uqfKwVACAICBwZYmbTzez2qqq+/ct11xFluujoCfHtrU1OP/jHW6praPSxVgAAvxE4MsQ5N8s5d2Z5ebnfVfHd6V8crUN2Hhzf/mTNJl3+8Ac+1ggA4DcCBzLOzHT9iZNU2b9ffN8/536umW8t87FWAAA/ETiQFZX9++mGr05K2nfxg/P08epan2oEAPATgQNZc9BOg/X9Q7atKlvX0KTv3/Om6huY+hwA+hoCB7Lqh4ftlDT1+fxVNbr0ofd8rBEAwA8EDmRVXjSim0/aS4NKCuL77ntjqe5/Y6mPtQIA9DYCB7JuaFmhbvr6XjLbtu+SmfO0YBVL2QNAX0HgQK84YMdK/e+Xdoxvb97arLPveVObtjA/BwD0BQQO9JpzD91R+48bFN/+eHWtfj7zPTnHeisAkOsIHOg10Yjpt1/fM2l+jgfeWqa/v/aZj7UCAPQGAgd61ZDSQt180p6KJIznuOzh9/XmZxv8qxQAIOsIHOh1+4+r1I8O3ym+vbXJ6ey/vak1NVt8rBUAIJsIHPDF2dPG6/Bdh8a3V1Zv1vf//qa2NjX7WCsAQLYQOOCLSMT0m69O0tjKkvi+1z5dr2se+8jHWgEAsoXAAd+UFebrtlP2UUlBNL7vzy9+qofeZpE3AMg1BA74asehpfr1icmLvP3k/72rD5ZX+1QjAEA2EDjgu6N3H67vHrxtkbfNW5t11t/mav2mBh9rBQDIJAIHAuGCI3bSAeMr49ufr6/X9/72hhoaGUQKALmAwIFAaFnkbWRFUXzfq5+u1y8efp+ZSAEgBxA4EBgDSwp0x2mTkwaR3vvaZ/rrS4v9qxQAICMIHAiUCcPK9NuUlWV/+cgHen7BGv8qBQBIG4EDgXP4rkP14yN3jm83O+n7f39Ti9bU+lgrAEA6CBwIpO8dPE4n7DUyvl2zuVHf+etcVdVt9bFWAICeInAgkMxM13x5d+25fUV83ydrN+l793DnCgCEEYEDgVWYH9Xtp+6j4eWF8X0vLVqnix54lztXACBkCBwItCGlhfrjqZNVnHDnygNvLtON/1noY60AAN1F4EDg7TayXLd+Y29FEu5cufnphfrX3M/9qxQAoFsIHAiFQyYM0RUzdkvad/ED8/TCQm6XBYAwIHAgNE6eOippzZXGZqfv/e1NfbiChd4AIOgIHAiVC4/cWdMnjYhv125p1Ol/eV3LN9b7WCsAQGcIHAiVSMT06xP30JTRA+P7VlZv1il3vMrqsgAQYAQOhE6/vNjtsmMHl8T3LVqzSaf/5TXVbmn0sWYAgPYQOBBKFcUFuuvbU5Lm6HhnaZXOunuutjQ2+VgzAEBbCBwIre0GFOvuM6ZoQHF+fN+LH6/Tufe+raZmJgYDgCAhcCDUxg8p1V9On5I0Mdi/31+pix+Yx2ykABAgBA6E3p7bV+j2UyarILrtx/mfcz/XtY9/ROgAgIAgcCAnHLBjpW76+p5Js5He9vwnTIEOAAFB4EDOOHr34br6hN2T9t389ELd/DShAwD8RuBIYGb9zexyM3vMzNaYmTOzi/yuF7ru61N20M+P3TVp3w1PLdCtsz/2qUYAAInAkapS0qWSdpf0ls91QQ+dccAY/fToCUn7rn9ivm57bpFPNQIA5PldgYBZIWmkc265mY2W9KnP9UEPnXXwODU2O13/xPz4vmse/0jRiOl/DhzrY80AoG+ihyOBc26Lc2653/VAZnz/kPH60eE7Je278tEP9ec55EgA6G0EDuS0Hxy6o37wpfFJ+375yAeM6QCAXhbYwGFmpWZ2nJldYWaPm9labxCnM7MJnb+DZGbDzOwmM1tkZpvNbJWZzTKzQ7NdfwTHDw/fSWdPG5e07/on5uv6J5inAwB6S5DHcBwq6cGenmxme0h6RtIgb1e1YoNCj5V0jJld7Jy7Nu1aIvDMTD8+cmflRSNJt8jeOnuR6hqadOmxu8rMOngHAEC6AtvD4Vkt6TFJl0s6s6snmVmRpIcVCxtvSdrNOVcuaYCk30gySdeY2REZrzECycz0o8N30kUpd6/85cXF+ukD81h7BQCyLMg9HLOcczNbNry7RrrqLEmjJNVKmu6cWyZJzrlqSReY2ThJMyRdI+nJDNUXIfDdg8epuCCqSx96P77vH69/rprNjbrha5PULy/awdkAgJ4KbA+Hcy6dNcZP9p7/3hI2UlzvPe/d1fEgyB2n7jda1//3HknToD86b4W+9efXVL15q38VA4AcFtjA0VNmVippH2/ziXaKvSKpynv9paxXCoFz4uTtdfNJeyk/ui11vPLJen3ttle0unqzjzUDgNwU5EsqPbWLYmM0JOn9tgo455rNbL6kKZKS5sE2s3MkVXgPSTrEzFra6RbnXJWQE47dY4Qqigp01t1ztakh1qH24YpqnfD7l3TXGVM0bnB/n2sIALkj53o4JA1PeN3RJF4tx4an7L9A0hWSzve2j/C2r1Bs0ClyyAE7VuqfZ+2nyv794vuWbazXf//fS5q7eL2PNQOA3JKLgaMk4XV9B+XqvOekP2Odc6Odc9bOY3Fbb2RmZ5rZXDObu2bNmvRqj16328hyPfC9/TV6UHF834a6rfrGH1/Vg28t9bFmAJA7cjFw9PqECs65251zk51zkwcPHtzbH48M2GFQse7/3v7aY7vy+L6Gpmb98J/v6DdPzlczt80CQFpyMXDUJrwu6qBcy5+ztR2UQR9S2b+f7v3Ovjp816FJ+2955mOdc++bqm9I58YpAOjbcjFwJI7bGNFBuZZjK7JYF4RMSb883fbNfXTWwckryj42b6W+dvvLWlHV0VU6AEB7cjFwfCSppf97YlsFzCwiaWdv84PeqBTCIxIx/fToXXTdV/ZQXsJkHe8urdKxN8/Ry4vW+Vg7AAinnAsczrkaSXO9zcPbKTZVUsvF+qezXimE0le/sL3uPmOqKorz4/vWbWrQN+94VX964RMWfgOAbsi5wOH5u/d8spml3vYqxW59laQ3nHPze6lOCKH9xg3SzLO/qJ2Hlsb3NTU7Xfnoh/rfe99SXUOjj7UDgPAIdOAws8qWh5LnwKhIPOZdIkl0m6QlkkolPWJmu3rvV2pm10n6slfu4mx/DQi/0ZUlevD7+2v6pOQhQY+8u0Izbn1RC1fV+FQzAAgPC3K3sJl1tXJjUufIMLNJil0uSVyevr9iIctJyujy9GY2XdL08ePHf2fhwoWdlkf4OOf05xcX6+rHPkxaXbYwP6LLpk/U176wPcvcA+iTzOwN59zkjsoEuocjHc65dyTtJulmSZ9I6idpnaRHJR2eybDhfd4s59yZ5eXlnRdGKJmZzjhgjO75n6mq7F8Q3795a7MuemCezrn3LRZ/A4B2BLqHI4wmT57s5s6d23lBhNqq6s067x9v6+VPku9Y2X5gkW7++l7aawdmwQfQd/TpHg4gm4aWFepv/zNV5x++U9Iy95+vr9d//+Fl/ebJ+WpobPavggAQMAQOoIeiEdP/Hrqj/nnWfhpRXhjf39TsdMszH+v4W1/UhyuqfawhAAQHgQNI0xdGD9Rj5x6oIycmT4n+4YpqHfe7Obp19sdqbKK3A0DfRuAAMqCiuEB/+OY+uuGrk1RamBffv7XJ6fon5uvL//eS3ltW5WMNAcBfBA4gQ8xMX957Oz35w4N04I6VScfeXVql4299UVc9+gGThQHokwgcQIYNLy/SXd+eoqtO2E3FBdH4/qZmpz++8KkOv+F5zf5otY81BIDeR+DIEDObbma3V1XRbY5Yb8fJU0fpifMO0iE7D046tmxjvU6/83Wddfdcfb6+zqcaAkDvYh6ODGMeDqRyzunReSt0+awPtKZmS9KxgryIvnPgGJ09bbxK+uW18w4AEGzMwwEEgJnp2D1G6D8/OlgnT90h6VhDY7Nunb1IX/rNs3rwraVqbuYPAAC5icAB9JLyonxddcLuevDs/TVp+4qkY6uqt+iH/3xHx906R88vWCN6HgHkGi6pZBiXVNAVzc1OD761TNf++6NWl1kkab+xg/SToydoz5RgAgBB1JVLKgSODCNwoDtqtzTq1tkf644XPlVDG5ODHTlxqM49dCftOqLMh9oBQNcQOHxA4EBPfL6+Tjf+Z4EefGuZ2vonedguQ/T9Q8azKByAQCJw+IDAgXTMX1mj65+Yr/98uKrN4wfuWKlzDhmvqWMH9XLNAKB9BA4fEDiQCXMXr9dvnlyglz9Z1+bxfUYN0Le/OEZHThyqvChjvwH4i8DhAwIHMmnu4vX63eyP9ez8NW0eH1FeqFP3H62vf2F7VRQX9HLtACCGwNGLzGy6pOnjx4//zsKFC/2uDnLMvKVVunX2x/r3+yvbPF6UH9WX9x6pb+47SrsMZ4ApgN5F4PABPRzIpgWravSnFz7RzLeXq6Gx7SXvJ21Xrq99YQdNnzRcpYX5vVxDAH0RgcMHBA70hrW1W/T3Vz/T3a8saXMeDynW63HsHsP11S9sr8mjBsjMermWAPoKAocPCBzoTQ2NzXp03nL95cXFendp+wsHjqwo0nF7jtBxk0ZowrBSwgeAjCJw+IDAAb+8t6xK/5r7uR58a5lqNje2W27HIf113KQROnbSCI2pLOnFGgLIVQQOHxA44LfNW5v0+Hsr9I/XPtern67vsOyOQ/rr8F2H6oiJw7THyHJFIvR8AOg+AocPCBwIkiXrNunht5froXeW6+PVtR2WHVLaT4ftOlSH7DxE+44dyIBTAF1G4PABgQNB5JzThytq9PA7yzXrneVatrG+w/J5EdPeOwzQgTtW6sCdBmv3keWK0vsBoB0EDh8QOBB0zjm9/flGPfXBKj31wSot7KTnQ5LKi/K139hB+sKYgZoyeqB2GV7KDKcA4ggcPiBwIGw+XbtJT32wUk++v0pvfrZBzV34L6GkIKq9Rw3QlNED9YUxA7X7yHKV9MvLfmUBBBKBwwcEDoRZVd1WvbRorZ5fuFbPL1jT6aWXFhGTxg/pr91HVmiP7cq1x3bl2mV4mQrzo1muMYAgIHD4gMCBXOGc0+J1dXph4RrNWbhWry9erw11W7t8fl7EtNPQUk0cUaadh5XGHkNLNbi0H/OAADmGwNGLWEsFua652WnRmlq9tni9Xv90vV5fvKHLPSCJBhTna6ehpZowrFTjh5ZqbGWJRleWaHhZIbflAiFF4PABPRzoS5ZtrNdbn23QvKVVendpld5bVqWaLe1POtaRfnkRjRpUrDFeABkzqESjBpVouwFFGlZeqHwGqQKB1ZXAwSgvAD02sqJIIyuKdOweIyTFekE+XbdJ85ZW6Z2lG/XesirNX1mj6g5mPm2xpbFZC1bVasGq1nfNREwaWlaokRVFGlFRpJEDYp87ckCRRpQXaUhpP1UU53OpBggwejgyjB4OIJlzTiurN2v+yhotWFWjj7znhatqtaWdFW97Ij9qGty/nwaX9tPg0kINKeunwf37aUhZPw0pLdTAkgINKM7XwJIClRXmc/kGyCB6OAD4zsw0vLxIw8uLNG3nIfH9Tc1OyzfW69O1m5Iei9dt0ufr67p0e26irU1Oy6s2a3nVZkntL2QnxXpMyovyNaCkQAOKY0FkQHGBBpQUqKI4XxVFBSotzFP/wjyVFeaptDBf/fvlqbQwTyUFeYQVoAcIHAB8EY2Yth9YrO0HFuugnQYnHWtobNbnG+r0+fo6LdtYr+Ub67VsQ733erNWVNV3O5AkanbShrqt3l03m7p1rpnUvyAWRkq9MFLSL0/F+VEVF0RVWBBVcX5URQWxx7bXeSpqKeM9FxdE1S8vqoK8SOwRjSg/alwaQk4icAAInIK8iMYN7q9xg/u3ebyxqVkrqzdr2YZ6rarZotXVm7WmdovWVG/R6potWl2zWWtqtnTrNt6uck6q2dKomi2NWtFxR0qPmEkF0VgA6eeFkHgg8baTQkpeRP2iEeVFTXnRiPIipryItx2JPaKJ2y1lotuO5UdN0Zbz4sciikbMe8R6qiJmiprJTLHXEVPEYsdaXkfMFEl8bW3vj0YS3sd7T4JWbiNwBNnjF0kr5/ldCyBw8iRt5z1aiUqqiD2andPWpmY1NDWrscmpsdmpsalZjc2x/bHt2L6tzU6Nzc0KzLC2ZkkNflciVo3MjbTpnKW8sOS9rY63s7ntPGu/jBQLeG2e1/qp7fdp9f5dCE2d1Kkbp3e7UMvuxfnjtP/3/6iK4oIe1KBnCBxBtnKetGSO37UAQisiqZ/36BJTz34DILg6C5BBCZi9rHpzo7Y29e4Xz43tAAAg6+jhCLJhu/tdAwAh57w/4Z2L/THvnEt+HT/m7U95nfoese3YRsvfx4n7E6dacEp5D9f+fpdwjty2z0x8s/b+HndJL1qdmVTHVuckFEjd59rYaLsOrsuX4nrUp+DafNmlE9orvy5vnCZEe7c7j8ARZEdf63cNAIScpTwDkjTRh8/kkgoAAMg6AgcAAMg6AkeGmNl0M7u9qioLN+YDABByBI4Mcc7Ncs6dWV5e7ndVAAAIHAIHAADIOgIHAADIOgIHAADIOgIHAADIOgIHAADIOgIHAADIOgIHAADIOgIHAADIOgIHAADIOgIHAADIOgIHAADIOgIHAADIOgIHAADIOnPO+V2HnGJmayQtyfDbVkpam+H37Gtow/TRhumjDdNHG6YvG204yjk3uKMCBI4QMLO5zrnJftcjzGjD9NGG6aMN00cbps+vNuSSCgAAyDoCBwAAyDoCRzjc7ncFcgBtmD7aMH20Yfpow/T50oaM4QAAAFlHDwcAAMg6AgcAAMg6AkdAmdkwM7vJzBaZ2WYzW2Vms8zsUL/r1hvMrNTMjjOzK8zscTNba2bOe0zowvkFZnahmb1tZrVmttHMXjazM83MunD+iWb2jJmtM7M6M/vQzK40s9LMfIXZZ2Y7mNl53s/NZ2a2xcxqzOwdM7vWzIZ3cj5taDbZ+xn8t5l9bGZVXjsuM7OHzGxGJ+f3+TZMZWb9zezzhH/Pp3VQlvaTZGanJbRXe4/aDs4PRjs653gE7CFpD8UmZXHeo0pSk/e6WdJFftexF9pgRsLXn/qY0Mm5ZZLmJpTfJGlLwvYsSXkdnH97QtmtkmoSthdJGuF3+3Sh/bb3flYS261KUmPC9npJh9CGHbbjH1LasEZSfcq++yXl04ZdbtPfprTfafwMdtpmp3n1bpC0sp3HoqC3o+8NyaPVN7dI0mLvm/mmpIkJPzS/TvhGH+F3XbPcDjMkrZL0qKTLJH0n4WvvLHD80yu3TtKxkkxSVNK3En5ZXNXOud/zjjdJukBSP2///gnflzl+t08X2m+0YoHjEUn/LWmAt79A0tGSPtG2EDKMNmy3Hb8l6TxJe0vqn7B/e0nXJfxM/pw27FJ77q1Y6H0loe1Oa6cs7bft6znNq/OzPTg3MO3oe0PyaPUNPk/b/pIa2cbxB73jb/hd1yy3QzRle7S6EDgk7ZVQ7rg2jp/rHauTNCTlWD/FQo6TdEM7793SazDd7zbqpP3KJU3q4PiEhP9sfkEb9rid7/a+lkUp+2nD1vWOSHpdscCR2D6ntfM10n7b6nyaehA4gtaOvjckj1bfxNe9b+Bt7RzfP+EHqMO/9HPpoa4Hjuu9Mh+1c7xI0kavzHdTjh3j7W9WG2HPK/OkV+YffrdJBtp0tve1PEwb9rgNf+B9LfW0Yadt1fLL7RZvu6PAQfsl1/c09SxwBKodGTQaIN4AnH28zSfaKfaKYt3gkvSlrFcqfA7xnp9s66Bzrl7SC95mavu1nPuec25ZO+/f8n3JhbZf5z1HU/bThl23v/f8acp+2jCBmY2UdIVifzFf0oVTaL/MCFQ7EjiCZRfFrq9J0vttFXDONUua723u2huVCgtvtHXLHSxttp/nA+85tf1atrty7mAzq+xeDYPDzPIkfdHbfC9hP23YCe8uiz3M7FZJX/N2/y7hOG3Y2i2SSiVd4Jyr6qgg7dehiWb2vpnVe3ecvWdmN5rZmNSCQWxHAkewJN6muLyDci3HOrytsQ8qk1Tive5J+w1POd7RuW2dHybflzRMse7SuxL204ZtMLPtWm4/VGx81TuSzpa0WdKlzrnfJxSnDROY2XRJJyh2OeBvXTiF9mtfpWJ/mNZJKpQ0UbFxf++b2TdSygauHQkcwVKS8Lq+g3J13nP/LNYljNJtv5bzu3JuW+eHgpntIelqb/N3zrnEv2Bow7Y1KXY5YJVityZKscGP1yihd8NDG3rMrESx9tmqWMjtCtqvteWSfiFpN0mFzrlBitX7GMV6GYok3WVmByWcE7h2JHAES6cTsKBDie3n0ji/J+eGgjfZ10xJxZLekPST1CIJr2lDj3NuhXNumHNumGL/ue+sWM/Q5ZLeNrOJCcVpw21+KWkHSTc65z7orLCH9kvhnHvSOfdL59z7zrkGb98W59xjio0j+lixsVjXJpwWuHYkcARL4kxxRR2UK26jPJLbo7jdUu23X23K8Y7Obev8QDOzgYoNHhsjaaGkY5xzm1OK0YadcM41O+cWOOfOkHSDYr9Q/2ZmLf+f0oaSzGxPxe5M+Vyx4NFVtF83eGNiWnos9zWzwd7rwLUjgSNYEq+HjeigXMuxFVmsSxhVKzaLntSz9luecryjc9s6P7DMrFyxEeW7SfpM0mHOuVVtFKUNu+cW73lPxeYlkGjDFjcp9lf3zxQbw9g/8ZFQrp+3r+WXF+3Xfa96z6bYFAJSANuRwBEsH2lb99XEtgp4f0Xt7G12tYuyT3CxG8M/9DbbbD9Py+jr1PZr2e7KuWucc2u7V0N/eNfRH5M0WbEpkA9zzn3WVlnasNsSbxccJ9GGCUZ5z3cpNtA29dHiD972BxLt10OtLp8EsR0JHAHinKtRbM57STq8nWJTFZtFUpKeznqlwme299xm+5lZoaQDvc3U9ms5d6KZtZfqj2jn3EAysyLF1krYX7F5Nw5zzi3s5DTasOsSb0dM7FKmDdND+3XPlITXSxJeB6sd/Z5BjUermdvOUyyhVksa3sbx/+cdn+t3XXu5XUar+1ObH9vG8f9V16by/XUb507StkX0Wr130B6KrZvyuFffDZL27uJ5tGGsrlFJ1kmZP3pfy1Z569XQhl1u345mGqX9ttW3s5/BMsXmZnKSXg1yO/remDxafRMTF297Q9Ku3v5SJS8WldOLt3lfc2XCI/Efzr4pxyIp57UsVrRW0n95+6KSTvX+YTl1bbGi87VtsaL9tG3Bs8Av+uR9vfdrW3jdt5vn04axkPuGpG9L2i5hf0SxMRv3JPxMtrXWRJ9vw07at93AQfu1+jl8RdIZknZI2F8g6ShJ8xK+1i8FuR19b0webX6TJ6mPL0/vtYPr4mN0ynltLce8OWG7O8sxNyiEy1pLOiihzvVqf0nrlZJeb+N82jC5V62lHdektIOT9Je22oI27LR9OwsctF/7P4drva8psW1OCXo7+t6YPNr9Jg9TbJT3Iu+HY7ViS40f6nfderENehQ4vHMLFJtj4m3Frq1XSXpZ0pnqpIvSO/+rkp6RtN77B/6hpCsllfrdLl1su2ndaL/F7bxHX2/DAu9ruE3SW4qFs63ef7jvS/qTpC924T36bBt28rV1GDhov/jXUKTYpY9/KnZjwTrv53CjYot9XitpVBh+Ds17MwAAgKzhLhUAAJB1BA4AAJB1BA4AAJB1BA4AAJB1BA4AAJB1BA4AAJB1BA4AAJB1BA4AAJB1BA4AAJB1eX5XAEDfYWZ5kr4p6euKrRk0SLG1HVYqthjU85Kecc69nnDOnpJmKDYF+529W2MAmcLU5gB6hZkNlvSYpMkJuzdL2qLYAlPm7atyzlUknHeaYgukPeecm9YbdQWQeVxSAdBb/qZY2KiRdKGk4c65Ii9clEs6XNLvFVuUCkCO4ZIKgKwzswmSjvA2v+2cuz/xuHOuRtJ/JP3HzC7o7foByD56OAD0ht0TXj/SUUHnXH3LazNzil1OkaSDzcylPKalnm9mB5jZP8xsqZltMbN1ZvYfMzvJzKyN8tO891rsbU83s9lmtsHMas3sZTP7Rve/ZACJ6OEA0NtGSlrUxbKrJBUpNsZjq6T1KccbEjfM7FeKXa5pUSOpQtKh3uM4MzvZOdfc1oeZ2bmSfivJSaryPntfSfua2X7Ouf/tYr0BpKCHA0BveCPh9a3eANJOOeeGSTrX23zJOTcs5fFSS1kvLFwoaY2ksyUNcM6VSSqR9FVJKxS7O+Yn7XzcYEnXS7pLsfElAyRVSvqNd/wcejqAnuMuFQC9wsz+KulUb7NB0guSXpH0umJhYk07552mTu5SMbMKSZ9LKpT0Refca22U2VfSS4oNSh3mnGvw9k+TNNsr9pSkI13Kf4xmdqekb0n6WNJOqccBdI4eDgC95TuSblAsbBQodonjZ5JmSlptZq+Z2cltjbPogq9I6i9pTlthQ5Kcc68oNtfHAEn7tPM+17QTJq7ynscrNn8IgG4icADoFc65Bufc+ZK2l/RdSfdKWqjYeAlJ+oJit87+08y6+3/T/t7zVDNb2d5D0g5eue3beI+tkl5sp+4LFbskI0l7d7NuAMSgUQC9zDm3WtJt3kNmNlTSdEmXKhYETlTsF/9N3Xjb4d5zkffoTHEb+9a2XGZpxzLvc7o0/gRAMno4APjKObfKOfcnxXoOVnm7v93Nt2n5v+xG55x14XFnD6rak0s9ADwEDgCB4JxbK+khb3Onbp7eElR2TaMKlWZW0MHxll6UNge3AugYgQNAkGzynhMvbbTMmdFRD8PL3vPBZjaoh5+dL2m/tg6Y2XhJI7zNN3v4/kCfRuAAkHVmNsbMxnVSplixVWEl6e2EQ9Xec0UHp9+nWFgpVGwujY4+Z0AHh3/azl0yP/WeF0p6p6P3B9A2AgeA3jBR0nwze8DMvmpmLZcnZGYlZjZdsXk5xni7EweMvu8972pmU9t6c+fcOm0LBaeb2b/MbLeEzyj0pjy/Ve3ciSKpTtKXJN1hZkO88yq82UtbxpRcxhwcQM8w8ReArDOzIyX9O2V3vWKXTsoT9jVJutQ5d3XK+c9JOsjbXK/YlOWS9HVvfo2WcpdI+qW2XX6pk7TF+4yWP7AWO+fGJJwzTbGJv5YoNq35jYrdqrsx5bxbnXPndO0rBpCKwAGgV5jZTord/nqApN0UW1OlQLHw8Imk5yX9yTn3fhvnDlIsSBydcJ4kHeKcezal7O6SzpF0iKTtJEUVG+j5rqSHJT3g3ZrbUn6avMDhnBvt9bb8SNJeio3reFfS75xz96TbBkBfRuAA0KelBg5fKwPkMMZwAACArCNwAACArCNwAACArCNwAACArGPQKAAAyDp6OAAAQNYROAAAQNYROAAAQNYROAAAQNYROAAAQNYROAAAQNb9fwrrALRDcNxQAAAAAElFTkSuQmCC\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -682,19 +606,19 @@
},
{
"cell_type": "code",
- "execution_count": 20,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 70,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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5FF8vPd4f3R0DOloCS4FB4ZEPk/HtvgsadkZERFphWCGX4+Olw7ujuuOuzg3M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\nxqCescMQ7vrPGs6esyRU0/SrWBEREWmh9t6jDfOnjeKskb1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+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -720,29 +644,29 @@
},
{
"cell_type": "code",
- "execution_count": 21,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 71,
+ "metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 21,
+ "execution_count": 71,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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I0rTo7Ozk1a9+NVdccQX33nsvu+++OwBPPPEEF110EQsXLhzypN3Pf/7zHHHE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\nVf4bPzGldGGT/V5Dmv4urqUoOJ0PdJf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+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -780,15 +704,13 @@
"$$\\frac1{2m}\\|Ax-b\\|^2 + \\alpha\\|x\\|_1$$\n",
"\n",
"\n",
- "We will see that LASSO is able to fine *sparse* solutions if they exist. This is a common motivation for using an $\\ell_1$-regularizer."
+ "We will see that LASSO is able to find *sparse* solutions if they exist. This is a common motivation for using an $\\ell_1$-regularizer."
]
},
{
"cell_type": "code",
- "execution_count": 22,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 72,
+ "metadata": {},
"outputs": [],
"source": [
"def lasso(A, b, x, alpha=0.1):\n",
@@ -807,19 +729,19 @@
},
{
"cell_type": "code",
- "execution_count": 23,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 73,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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SRtedNDjULiwp17UvzFcZl1kAAD4Tzd0rqyT9UlKppIslzTWzPWa2xsxW1fJYGavCUeny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\nzv2avWanJKlLTitNuXSs3ly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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -836,30 +758,31 @@
},
{
"cell_type": "code",
- "execution_count": 24,
+ "execution_count": 74,
"metadata": {
- "collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 24,
+ "execution_count": 74,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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EREREhiUlZTnS09NDSYlWtwxNpaWlBIPBfIchIiIiMiwpS8ghNV2UoUr7roiI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\nrf7fWSwca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lzwO/zS15BvCL+2+9fwkS3G9KRbCb37/HEWDj3OngohmkwmEfXes0zYv21/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\nLLu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+ "image/png": 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TJN+99N4l7Pv3hStJw3DG2HiJveMhhFgCwe3tgjAK749Nktfyeyivq/oClPPnIHaEwmWS109FcL67juzA4DPtBed8P4DPXJszGGMFAcpUsn0Hgj+nyznnDl87XO//zbWphxAtkVBcSSvGuzZfC+GUta7/5zDPpCZLJK9Dra+U4mPO+akA+6XPtrwddm9zCAPKPuGct2LQ7lJEV8++yTk3+7mOE8KUCiAJ219/kAhLTnokrzP9HhU61ZJyNoZw/AbX/7kYzCbji0DrM3VGcFx2IKMgxEOHut/rh+4SXtczxj6HcI9Pu2zbJfm72XW4GoOLAfujNsj+YPwTQtgdALzlyuBzDxMymgXLWCf9fMG+080QQlUAYeTbH/uClNMueR3su/JFyDZzzushhLIAgW2ON8HuUYfr/0juj+IwxvRMyAL3FYSQkToIn0H6zF/sOrzQdylxIVZ1VFR1Row45Oow+KPT9X8r57w9hOP8PmuMsdFMyLx6HEKddwyCx8H93W+XHJ7I7x+AmMnyIcZYLQbnp+6F5/M61XV4MHsPBrnPgeoz6bMQzjMUKe6MmMc45yfCOdHVVox1bW7lnNsCHY/B3w4DMCnAcSnVvieAMyWv/+on2540s+09rmN1EBKFuYn3sxZOedsx2HeQ33P39hHOeQsCs0HyOpr2PNQ+SlK0v6FA64QlJ62S1yUKlCcd7WoM4fgG2bnHfR3kGrX1h7TxC/W4gKmHIcSVB0L62TxG+BhjORCyC4Wzfprf1LouOoLsDwjn/DBj7AoIMc6lEEb33CN8FsbYBggj4a9yzgdkp4f8nXLOrYyxdgjPUqCRz0DfExDed+WLSJ7DEQhsc7wJ9R5Fcn8UhQlp/j/B4GhtMII977EkJnUUoqgzYkioz1Cox/kcTGWMXQshNFMXol2J/P7h8nStgjDnKBSC2RtNfSZ9FsJ5hiKlyPX/6QjOzcOgRzOS344/UqZ9TxDFUZwrfXbj/axJCXg9zrmNMdYGoX8iv+fubSWfuWBEVScmIylj6BBjJ4SseQAwlQVYRysCeIyPjyXBbAkUlvQ7DAqw9QC+AyE+PhvCXBDGOWcAngixPPgLnQgHzvlHELwA34EQ3njMtUsPIeTwRQD7GWNTAxUTziUjMDMWpKLNqcarGBRgH0LIrjYKgsdJLXnmow2rVRol66ho6oyUhTE2GkL4lg5Cx+WXELIrlkGYU+H+7qUd44TdC1fo95sYFGB/h+ChrYTQYZU+r1+6T4uTefGsf6K91lBt3xOBtF/2AwhexVD/IhHbgPL3IJTvP9g1U/mZSzjkCUtCOOe9jLEtENIWZ0BILf3fKIpsk7wuC+F46TGBwmHiTQmE8BR/SEemxM/MhAU1v+va3ABgQYAwlYALG8cCl5frX64/MMbKICQfuBmCcBwB4F3G2BjOudV1mvw7PeqvfMaYNPwhkd9npM9hMj2DKQFjbAwG51j9m3N+bYDD4/7M+yBWdVREdUYa8AMIAzmAsMzDKj/HJcN3DwgDTu6Qul9xzh8McGw8bJY+C8GiUZSIVmkBUAFh7c1waYfQsWVI/fb9YID9gX6r0gHRYM4Fvwtdh4k0BE/NOd8dYTnSz1IMT6+RnGi8b74I+Oy6HADu35v8nrdBGDRJ5Wcu4ZAnLHmRToi8x+9RoXEUgwkD5oZwvPuYTggZuJKFM4Psny15vVPyegwGQ3JeDzJPYFYkhikJ57yBc/4qhHVtPnS9PRKe35308wX7TmdhMInHjkAHxpiQbXaF0o1wbSbS5lRFOtfD76RxV1KLGf72x5FY1VGR1hlAao/Yur//jgACDEiC+s5FqM9rFoQIhlgjfRbCeYYiZYvr/yrGWKA5jl64Bubc87JmhpBQap77VHg/84kkmt+qdB69X5HOGFNB6A8EItTf/VbJ6wtDPMcX8X7WpAS73jQM9p3k99y9PYoxFkwczpO8TmR7nnR1Oomw5EUamraIMfbjUE9kjOUzxpa5t11hc6tdmxMYY/MDnHs+hDVHACFzTjI9tD/wt8PVOH/TtdkEzwpD6vH1O4+AMTYTyldyEeO69x9L3iqSvP4MQnpZALgxSMjqDyWvo/GoRss2DI4efss1T88fyWJzvHFnfgqWmCUYIT3zEEIUQxnJjCkxrKMirTOAwe8CiP77iDfu71/v6nj6I+R2JcaE+rzegvhE8GzD4NzsbzHGAtl0owLXWyF5fW8E57vryFwMPtNeyDzkm4Mkfok33/f3rLqyCV7v2rRgMNOgG2kkSKCBhcsRPGlDqHXwDsl1L2eMTQhyvD+kgySh1ldKsdg14OmPmySvP5btcz9zDIMJzbxwZeC82rXZgMQKf6XaV8UgEZakuDIcfROD2fOec2WN8jvJmgl8A0JGm3Nlu/8gef0XxphXZinGWAmAP0neeiYS22PIUsbY9fI3XaP5/4fBbFl/lKVsP4zBCZvfZowZfJQxDAHSj8cCxtiVgVIEuz6XNC2s2NC4shG5R4zHAfiVnzKuhjDfDBAWwE2YoHE90+7U8wUAXvLV6DLGzgJwn2uzDck3ZymWuNPFBxutDYY0rOcGX2ncGWPj4bkUQMQwxo5LMoFVRlhMLOqoSOsMYPC7AKL/PuKN+/s3Qliw3QvG2D0ALon2QoyxhZLvfk2ExUifV58dUcbY2fCcsxszXHWV+zkrheezKbXpJnimGI+Uf2Gwfv8xY+wGfwcyxjSukHUp/4fBeeRPM8ZG+TgvE8I8UXed+/voTFacSQAe8bPvMQjrMALAa5xzeWjcHgwmmbjBT91RCeDZEOxw/+5H+6o33bgGfx51baoBvMMYC5ganTE2gzG2VFZOLYR56gBwGWPsuz7Ok9dXSqED8Ddf3lPG2BIMDjAcgfeyGsshLAMBAD9jjHkNYLsGh18G4B5wfVaJufRRENJ3G09oTlgSwznf4upE/wvCZPonANzEGHsdwgrrTa5DSyCE51wOP5nQOOdrGGN/AnArhE57LWPsKQymKJ0LYcX3Utf2HzjnoaSKjiebIKSCXQBhbZJWCIkGbocQugcIQuPX0pM4522MsfcBLINQ0W9gjP0OQsPvXnPkTgjzpjbA03UeS/4HwL8YY59A8ALsgSA6jBCSddyAQTG9gXO+TXb+PRDmC5YDuIcxNgnCeh3HIFTWV0Po0DAIaWa/nwSezSchPKdTIAwyVDLGnoXwvWVB6BTeDuF74QBu5pxHvVZeCvElhGd6OmPscQgZPbvdO13r/IRCretvKgQh/ylj7AUIWQSzIXQcb4PQediKJAhJjFEdFVGd4WI7hDTpJgD3M8aaIaRLd6ds7uKcB5q/kUheAXAHhN/+y4yx6RBG3Nsh1C3fh5D4Yh3CyxgbK/4LYZS8DMDNjLF8CIKhHkIEwGUQRuU7ISxdMdZ3MYryvxDqqBoI7e4oCIMWR102XQvgOgjPWLCwroC4stBdA+H3b4DwzLrb/oMQ5jxVAJgP4BoIiaaekZx/mDH2MIT6tQTAFsbY0xAWJrZACCu7D8Bo1ykrOOeB1vdKBJsA/JwxNgVCxuB6CG3bDyC0GYAQSfFT+Ymcc4erfnsUwryp9YyxX0JYjsEEoR29E8J9PIjAgypfAjgfQhv6R8bYq/Ccx3TEvQwA5/zvrrrlJgjPyU7G2N8geI3qIfSxSyHUr5dBqI9/CWCl7Jo/cn1+A4BXGGMLIWRGboPwnd0OIbFO1M+ajE0Q5p9vcvWJ9kJoh5dB8JKrIQxg3yIXT5zzLsbYjyA8o0YAa1xt+UcQwkPPgHDP3W3LFgBPK2h7JIT83caNRKwQTX/h/QGYACH8jIf49y6AGh/laCBk2wt2/h8AqPzYstx9XBCbH5WUVxnguOslxy0MdD0I86IOBrD7AIARfq5TFuRcK4QQuIB2h/r5QzkeQgMZyve5GUCZn/JHQ1g7I9D57QAWBbDRfdzyIJ8l4HcVxvNcBGHkL5DN/QC+G2tbQnlWQ32WXccedx23JpJ7DaHh6vN3X8K0+wwIAzX+7nE3hMY24DMdyjMvuY4FQH4U34WidRSiqDNcZf08wLnLZccG++4D7pcct8Z13PEgxwX73u6D0IHyZ/8WCB3WYM9ksP0XSY55M4rvfiGEzps/exshCPGA9yeM+7xQUvb1fo6phLB4dsDnJ9g9CuMenAlBZAZ7/u/yc/4jEDxigc79D4QMmb7Of1RynFedIjnueslxCyO9x7LrTYUw4BLo+58S4Fo6CIOZ/s5vgpDsLNjzU+K6lr9yKmXHMwAPQ+hDBPveOID7/Fz3QgR+/t+DIJgCPrMh/s7EMiB4fP1d0wLge0HKuxFCmF+gz7wGftqFEJ6RgPtlxy53H6vEdxuPPwpHTAE453s45+dB8ND8GsBXEFKcWgAMQFiAdRWEimA05/xyzvkhH+XYOec/dJWzHMKI3gCEDu9hCKNPZ3LO7+SBk1ckBC4sYjkTQsdoJ4QKqw/CiP+DAKZyzk/6ObfBde5jEBb8lH7ulwDM5Jy/GOOPIOdqCKFCL0HoENVB+E7NEJINvAPg2wBmcz8j7pzzwxAWTbwVwppQTRBG6tshNGiPABjFOV/t6/xEwIVQyrMgjCS/B+FZtkIIbaiF8IzXcM7jGh6aDHDO90J4Tl+G0PkLti5KsLKmQAg7Ogjh2eqBINp/D6FDs8J/CaHBhHTo7onZL/Mo5pkoXUdFU2e4zn8Mwm/wYwz+tlICzvlTEOb/rIAQqmV3/f8FhFHuuZzzYOsShYJ0/t5TkRbCOV8DoSP+ZwhCygbB87UDwC8ATOZxjs7gnB+H8Bv6fy47+iA8Qzsg1K0zAz0/EVxvEwQvzW0Q2vRGDNbnuyF4Ha6EMFDh6/zHXfa+AMHD24vB9uQ1AIs559/knJt9nZ9gOiF4e+6GMPDYCeG3vw+Ch28859xvUgcuJCi5CIL3ZTOEzz4AQSg/BaG++yqYEZzzJgh1xnMQPEPuQTF/x3PO+RMQPMxPQBhgbIHwexuAcO9XAXgIwCTX79JXOf+FMHD2fxDqPQsEz/1aCFExyxCD+odzfiuAq1w2NkFoi09BqH+ncs4DTgfgnL8M4Zn9LYQ6tttVRj0Eh8DVAM6Npl1QinC/23jAXOqQIJISxthyCKEz4MIaMQRBJBGMsZshDCRYIAj++iCnxNqe5aA6I24wxtZDEM0fcM4vTbQ9ROrAGHsUwgAJAFS5RC8RQ1yhjp+7Nm/gnC9PmDEEecIIgiCIqHDPW3wx0QKMiC+MMROEbHQc/pMqEARBED4gEUYQBEFEw0II4YJPJtgOIv6cBWENwnc459sTbQxBEEQqQdkRCYIgiIjhnA9LtA1EYuDCQtAU8kkQBBEB5AkjCIIgCIIgCIKII5SYI0IKCwt5ZWVlos1Ie44fP462NmFdxhkzEr6UEUEQSQ7VGQSRGpw+fRoNDULi34kTJ0Kv1yfYovSnp6cHBw8Ka6OPHDkShYVKr/9M+GLr1q2tnPMi+fsUjhghlZWV2LJlS6LNIAiCIAiCIAgiSWGMnfD1PoUjEgRBEARBEARBxBESYQRBEARBEARBEHGERBhBEARBEARBEEQcIRFGEARBEARBEAQRR0iEEQRBEARBEARBxBESYQRBEARBEARBEHGERBhBEARBEARBEEQcIRFGEARBEARBEAQRR0iEEQRBEARBEARBxBESYQRBEARBEARBEHFEk2gDhhJ2ux3t7e3o6uqC3W5PtDkEERC1Wg2j0Yjs7GxkZWWBMZZokwiCIAiCINICEmFxwul04tSpU9Dr9RgxYgR0Oh11aomkhXMOh8OB3t5etLa2YmBgAMXFxfTMEgRBEARBKACFI8aJjo4OaDQalJWVQa/XU2eWSGoYY9BoNMjNzcXIkSPR19eHnp6eRJtFEARBEASRFpAIixO9vb3Izc0l8UWkHGq1Gvn5+eju7k60KQRBEARBEGkBibA4YTabYTQaE20GQUREZmYm+vv7E20GQRAEQRBEWkAiLE44nU6oVHS7idRErVbD4XAk2gyCIAiCIIi0gFRBHKFQRCJVoWeXIAiCIAhCOUiEEQRBEARBEARBxBESYQRBEARBEARBEHGERBhBEARBEARBEEQcIRFGEARBEARBEAQRR0iEEUnPwoULwRjD8uXLFSuTMQbGGI4fPx7R+ZWVlWCMYc2aNYrZ9Oijj4Ixhuuvv16xMgmCIAiCIIjkQ5NoAwgimaitrcW7776LyspKEkMEQRAEQRBETCARRiQ9I0aMwNixY5GTk6NYmWPHjgUAaLVaj/dra2vx2GOP4ZxzzgkowkaNGgWDwUALcBMEQRAEQRBhQyKMSHpeffVVxcvcv39/VOd/+umnClmSmjQ2NqK+vh4GgwEZGRkYOXIk1Gp1os0iCIIgCIJICUiEEQQRNq2trTh69Ki4XVlZmThjCIIgCIIgUgxKzEEkPb4Sc6xZswaMMbHzv379elxyySUoLCxERkYGpkyZgueffx6cc59l+krMwRjDDTfcAABYu3ateIz7T5qEI1Bijq+//hoPPvgg5syZg/Lycuh0OhQXF+PCCy/Em2++Ge3tSAoGBgY8tm02W4IsIQiCIAiCSD3IE0akPMuXL8dNN90Ep9OJ7OxsmM1m7Ny5E3fccQcOHz6MZ555JqRySkpKMDAwgO7ubmi1WuTn53vs1+l0Qcvo7e3FnDlzxG2tVguDwYCWlhasWrUKq1atwi233II//elPYX3GZEMuwo4cOYIzzjgjQdYQBEEQBEGkFiTCkohw052r1WqcffbZXu+fOnUKR44cCausyspKnyFlGzZsgNVqDamMhQsXhnVNJWhpacGtt96KH/3oR3jooYdQUlKCzs5OPPLII3juuefw7LPP4uabb8aECROCltXY2Ijly5fjhhtuwLx58yJKP69SqbB06VJ873vfw4IFC1BaWgqVSoXOzk784x//wIMPPoiXXnoJixYtwtVXXx3BJ04OzGazxzZ5wgiCIAiCIEKHRFgS0dLSEtbxGo3vr6+/vz/ssoqKiny+39bW5tXhTib6+/tx00034bnnnhPfy83NxbPPPos1a9Zg165deOutt0ISYUpgNBrx4Ycfer2fm5uL22+/HTk5ObjuuuvwwgsvpJUIs9vtCbKEIAiCIAgi9aA5YUTK8+CDD/p8f9myZQCA3bt3x9OcgFx66aUAgK+++goOhyPB1kSG0+mExWLxeI9EGEEQBEEQROiQJyyJ8OeN8oe/lOBGozHsskwmk8/3CwoKQg5HTAT5+fmorq72ua+8vBwA0NHREU+TYLfb8corr+CNN97Ajh070N7e7nUPzWYzOjo6UFhYGFfblMCXZ5REGEEQBEEQROiQCEsilJpTVVFRgYqKCkXKmjdvniLlxIqsrCy/+wwGA4D4zlfq7e3FkiVLsGHDBvG9jIwMFBUVQaUSHM9NTU0AgL6+vpQUYfKkHADNCSMIgiAIgggHCkckCAV54oknsGHDBhQWFuKVV15BU1MT+vv70dzcLC5w7MZf+vxkhzxhBEEQBEEQ0UGeMIJQkDfeeAMA8Nxzz+Fb3/qW1363FyyV8eUJIxFGEARBEAQROuQJIwgJ7pDBSL1UdXV1AIBp06b53L969erIDEsiSIQRBEEQBEFEB4kwgpCQnZ0NAOjs7Izo/JycHADArl27vPb19vbil7/8ZcS2JQu+whFpThhBEARBEETokAgjCAnu9cT27t2Lr7/+OuzzL7jgAgDA3XffjbVr14oetc2bN+P8889Ha2urcsYmiLFjx2Lu3Lke69TZ7faUneNGEARBEAQRb0iEEYSEmpoaLFiwAHa7HXPmzEFBQQEqKytRWVmJr776Kuj5v/jFL1BYWIhTp05h4cKFMBqNyMzMxJlnnoldu3bhtddei8OniC3Z2dkYPnw4xo8f7/F+qq57RhAEQRAEEW9IhBGEjLfffhu33XYbqqqq0NvbixMnTuDEiRM+w/DkVFdXY9OmTfjud7+L4uJiOBwO5Obm4jvf+Q42b96MxYsXx+ETxAe9Xo+MjAxkZWUhLy8PTqcz0SYRBEEQBEGkBIxCiCJj5syZfMuWLSEfv2/fPi/PAUGkEvQMEwRBEARBhAdjbCvnfKb8ffKEEQRBEARBEARBxBESYQRBhIzNZkNPTw9lQyQIgiAIgoiCIbNYM2NsBIArAZwPYAqAEgBWAEcBfATgD5zzhsRZSBDJT1NTEzZu3AgA0Gg0OO+888S0/ARBEARBEERoDAkRxhirAHAcAJO83Q3ABGCy6+8WxthVnPPP428hQaQG0oWa7XY79Hp9Aq0hCIIgCIJITYZKOKLa9f+HAK4GkM85zwFgBLAUwDEAeQDeZYyVJsZEgkh+5BkiDx8+jNraWmzZsgXNzc0JsoogCIIgCCK1GBKeMAAdAKZxzndI3+ScWwF8xBhbCmA7gGwAtwJ4LP4mEkTyI/WEqdVq7Nu3T9zOzs5GcXFxIswiCIIgCIJIKYaEJ4xz3iUXYLL9+wG4V+KdER+rCCL1kIqwrKwsj312uz3e5hAEQRAEQaQkQ0KEhUib6391wKMIYggjDUc0Go1QqQarEBJhBEEQBEEQoUEiDABjTANgvmtzdyJtIYhkRuoJy8jIgEYzGNFMIowgCIIgCCI0SIQJ/BhAKQAngFf9HcQYu4UxtoUxtqWlpSVuxhFEMsA591gfzGAweIgwWjuMIAiCIAgiNIa8CGOMTQbwv67N5znne/wdyzl/iXM+k3M+s6ioKD4GEkSSwDn32CZPGEEQBEEQRGQMaRHGGCsD8C6EVPVbAfw0oQYRRBLjS4RptVpxm0QYQRAEQRBEaAxZEcYYywfwMYAqAIcAXMw5Nwc+iyCGLnIRJg9HJBFGEARBEAQRGkNShDHGcgCsAjARwEkAizjnTYm1iiCSm2DhiDQnjCAIgiAIIjSGymLNIowxE4CVAGYCaIQgwE4m1iqCSH4YYygsLMTAwACsVit0Oh15wgiCIAiCICJgSIkwxlgGgPcBzIOwLtgizvmhxFpFEKmBRqPBueeeC0DwijHGaE4YQRAEQRBEBAyZcETGmA7A2wDOBdAJYHGgTIgEEYw1a9aAMYbKyspEmxIy119/PRhjePTRR6MqhzEGAF6eMHnIIkEQBCHQ3d2NDRs2YNu2bRS+TRDE0PCEMcbUAP4F4EIAPQAu4pxvS6xVRDKzfPlyHD9+HJdffjmmTp2aaHOSlmHDhsFoNEKj0XgIMoIgCMKTbdu2wb3GaEZGBsaPH59giwiCSCRDpdc0H8BVrtdaAO+6R/J9cIpzPisuVhFJy/Lly7F27VpUVlb6FWFGoxFjx45FeXl5fI1LIgoKClBQUJBoMwiCIJIetwADgN27d5MII4ghzlARYdKwS4Przx+Upp4IiTPPPBP79+9PtBkEQRAEkTZwzuF0OsEYg0o1ZGbNEEOQISHCOOdrAPh1fREEERiHwwGz2YwtW7bAYDBg5MiRyMrKSrRZBEEQKYHT6Uy0CUlPa2srNmzYAJvNBqfTiYULF6KoqCjRZhFEzKAhBiJlePvtt3HhhReiqKgIer0ew4cPx3e+8x1s2+Y9ve/48eNgjIkJJNavX49LLrkERUVFMBqNmDp1Kp5//nmvhnH58uVgjGHt2rUAgBtuuEEsR56EI1BijoULF4IxhuXLl6O7uxv3338/Ro0ahYyMDFRXV+ORRx6B2TzodP3000+xZMkSFBYWwmQyYcGCBfjyyy993geHw4HPP/8cd955J2bMmIGSkhLodDoMGzYMV1xxBT777LNwb21QnE4nHA4Hjh07hn379qGvr0/xaxAEQaQrlD02OHv27IHFYhHbZUpeQqQ7JMKIpMfpdOL73/8+rrrqKqxatQodHR0wGo2or6/Hv/71L8yaNQt//OMf/Z7/1ltvYeHChfjwww9ht9ths9mwY8cO3HHHHbjqqqs8GseMjAyUlJSIqdezs7NRUlIi/oU7KtfR0YHZs2fjqaeeQlNTkyhknnjiCXzzm98EALzwwgu44IILsHr1athsNvT39+PLL7/EokWLsH79eq8y9+3bh/POOw/PPvsstm3bhq6uLuh0OjQ0NODdd9/F+eefj//93/8Ny85gyMVqRkaG+JpzLnrKHA6HotclCIJIB3yJMBJmnrS2tnpsW63WBFlCEPFhSIQjJj133QXU1ibaCmWYOhV45hlFi/zNb36DV199FYwxPP7447jzzjuRlZWF+vp6/OQnP8Ebb7yB22+/HRMmTMCCBQu8zr/xxhuxaNEivPDCC6iqqkJfXx9eeOEFPPDAA3j33Xfxm9/8Bj/72c8AANdccw2uueYaLFy4EGvXrsUf/vAHXH/99RHb/thjj6G0tBRffvklzjrrLFitVrz66qv40Y9+hPfffx9PPPEEnnjiCTzwwAO4//77kZubixMnTuDaa6/Fxo0b8ZOf/ASbNm3yKFOn0+Hqq6/Gddddh1mzZqG4uBiMMTQ3N+Oll17Co48+ioceegjnn38+Zs+eHbHtUuSp590irLu7Gx9//LG4f86cOaioqFDkmgRBEOmCL6+O2WxGZmZmAqxJTuSDfeQJI9IdEmHJQG0t4Ap/Izzp6+vDk08+CQD46U9/ioceekjcV15ejtdeew0NDQ1Yt24dHnroIXzxxRdeZQwfPhzvvvsu9Ho9AMBkMuG+++5DX18fHnvsMfz617/GnXfeCZPJFBP7P/jgA4wePRqAIKBuuukmbNy4EX/961/xyCOP4IYbbvDwXI0cORKvvfYaqqqqsHnzZpw8eRIjRowQ948ZMwb/+c9/vK5VXFyMhx56CJxzPPLII3jxxRcVE2HSxlGlUomeQrVa7SHQaGSXIAjCG51Oh+HDh6OlpQVqtRqTJ0+G0WhMtFlJg681JkmEEekOhSMSSc3HH3+M7u5u6HQ63H///V771Wo1Hn74YQDAl19+icbGRq9j7rnnHlGASbn77rthMBjQ3d2NTz75RHnjAVx99dWiAJOyaNEi8fWDDz7otX/kyJHiebt37w7rmpdeeikA+AxljBSpCMvIyPC5WDNAIowgCMIXGRkZmDt3Li677DJcfPHFqKiooMx/EiwWi9d7FI5IpDvkCUsG0mkxYIU/izvpxpQpU5CXl+fzmAULFkCj0cBut2Pbtm1YunSpx/6FCxf6PC87OxvTpk3Dxo0bsW3bNlx++eVKmg4AmDRpks/3i4uLAQAGg8GnSAOAkpISHDp0CB0dHV77BgYG8OKLL2LFihXYu3cvOjo6vATQ6dOno7R+EOkopcEwuMIDiTCCIAgiWnyJMPKEEekOibBkQOE5VOmEe3HLQAsiGwwGFBQUoKmpyWMxTDeBznXv83WeEpSVlfl8X61WAxCElr+Fw93HyBuihoYGLFy4EAcPHhTfM5lMyMvLg0qlgsPhQGtrq6IZDOWeMKmNjDFRpJEIIwiCIMKFRBgxFCFfOJES+KqglcBXHHqyc9ddd+HgwYOorq7GW2+9hfb2dvT29qK5uRmNjY346quvFL+mVIRJPWEAxPlhADWaBEEQRPhIl2xxQ+GIRLpDnjAiqXGnhD9x4oTfY8xmM9ra2jyOl3L69Gmfa3kBglfJ33nJiNVqxYoVKwAA//znPzFnzhyvY5qamhS9ptPp9BCrUk8YIIQkuhtL8oQRBEH4x2azwWw2w2w2gzGGwsLCRJuUFJAnjBiKkAgjkprp06cDAA4dOoT6+nqfoYVffPGF2Pl3Hy9l7dq1PkVYT0+POOdMfp57wnSyecpaW1vFxmratGk+j1m9erWi1/SXnt6NdF4YiTCCIAhv9u/fj2PHjqG3t1d8Lz8/H+eff34CrUoefHnCSIQR6Q6FIxJJzeLFi5GdnQ2bzYannnrKa7/D4cATTzwBADj77LNRWlrqdczTTz/tM6zhmWeegdlsRnZ2NhYvXuyxLzs7GwDQ2dmpwKdQjuzsbHEO2a5du7z2NzQ04LnnnlP0mvK1W+ThiCTCCIIgAjMwMOAhwADfwmOoQtkRiaEIiTAiqTGZTOJCys8++yx++ctfig1ZfX09rr32Wqxbtw4qlQq/+MUvfJZx8uRJXHHFFTh+/DgAoL+/H7/73e/w2GOPARDWH5Ov1zJhwgQAwNtvv42urq5YfLSIyMzMFEMQf/CDH6DWtci30+nEp59+inPOOUdx751chMk9YTQnjCAIIjC+BqjMZnPSRVskCrkg1Wg00Ol0dH+ItIZEGJH03HvvvbjuuuvAOcdDDz2E3Nxc5Ofno6KiAm+88QZUKhWee+45LFiwwOf5L7/8Mj7++GNUVVUhLy8POTk5uOeee+BwOLBs2TKf649973vfg06nw7p161BYWIjy8nJUVlbirLPOivXHDcrvf/97ZGRkYNeuXZg2bRoyMzORmZmJRYsWoa2tDS+//LKi19NqtcjOzobBYMD06dO9BCt5wgiCIALjq250Op00cOVC6gkrKirCFVdcgaVLl/rNHkwQ6QCJMCLpUavVeOWVV/Dmm29i8eLFyM3NRW9vL8rKynDttddi06ZNuO222/yef9VVV+Hzzz/HxRdfDLVaDY1GgylTpuC5557D22+/7bXWFQCMGzcOn3zyCS688ELk5OSgsbERJ06cQF1dXSw/akjMnj0bGzduxOWXX468vDzYbDYUFxfj1ltvRW1tLaZMmaLo9VQqFTQaDdRqNUaNGuV1v0iEEQRBBMaf2KKQRIGZM2fi7LPPxplnnokxY8Yk2hyCiAuMXL2RMXPmTL5ly5aQj9+3bx/Gjx8fQ4sIKcePH0dVVRWA5Euukar4e4Zra2tx/PhxaDQaGI1GnHfeeQmwjiAIInn57LPPxCy+Us455xwUFxcnwCKCIOIFY2wr53ym/H3KjkgQRFRMnToVU6dOTbQZBEEQSYu/KAHyhBHE0IXCEQmCIAiCIGIIiTCCIOSQJ4wgCL9wzmG326FSqcA5B+ecJkoTBEGECc0JCw273Y5Tp07BarXCZrNh2LBhyM/PT7RZBBETSIQRBOEXzjl6enoACKn9Dx48iLFjxybYKoIgiNSCPGH+sVgsGBgYgF6vBwBI59vr9XoSYUTaQiKMSEsqKyspIYcCyO+hfKFmgiAIIjBOp9NrvUU3JMKA06dPw1+iM0rhT6QzJMIIgvBLsIWaAcFDdvLkSdjtdtjtdowePRqZmZnxMpEgCCKpCbR0B4mwwPeARBiRzpAIIwjCL6GKsF27donbpaWlJMIIgiBcyEWYXq9HVlYWDAYDsrKyEmRV8iBdqFmtVkOn02FgYAAAYLVaE2UWQcQcEmEEQfhFLsJ8hSPKF2+mBZsJgiAGycjIwLJly2C322Gz2WAwGMT5T4SnCDMYDFCr1aIII08Ykc6QCCMIwi/SOWGMMWi1Wq9jSIQRBEH4hzEGnU4HnU6XaFOSEmk4ol6v98jASyKMSGdIhBEE4RepJ8xfanq5MKNGkyAIgggVqSdM7iGkcEQinSERRhCEX0IRYeQJIwiCICJF6gkzGAxwOBziNg3qEemMKtEGEASRvMjDEX2hUqk89pEIIwiCIEKBc+7lCZNGV5AII9IZ8oQRBOETznlInjDGGDQajdhYkggjCIIYpLu7G93d3dBoNNBoNMjLy8O2bdtgNpthNptRXV2NUaNGJdrMhCAPN5Qnf7JareCc+21/CCKVIRFGEIRPOOchecIAkAgjCILww+nTpz2W8bjiiitw6tQpMeyup6cnUaYlHPkaYXq93isrr91u95kUiiBSHQpHJAjCJ/KGMJgIc0PhIwRBEIPIB6bUarVHAgppON5QQ/7Z5eGIALUpRPpCnjCCIHziTqvsDksMJMKkjSZ5wgiCIAaRigiNRgPGGAwGA/r7+wF4e4OGEnIRZjAYoNPpMG7cOGi1WvGPINIR8oQRKUFPTw/uvvtujBo1CjqdDowxVFZWYvny5WCMYeHChYk2UaSyshKMMaxZsybRpkSFWq1GZmYmsrKykJOTA7Va7fdYqSeMRBhBEMQg0jrRLSikc5+GsgjTarUoKSlBbm6uuIh1Xl4eJk2ahHHjxmHUqFEkwoi0hTxhREpw5ZVXYvXq1QCA7Oxs5Ofno6ioKMFWEW5IhBEEQfhGWie660oSYQKlpaUoLS1NtBkEkRBIhBFJz549e7B69WpotVp88cUXmDNnjrjvnXfewdixYzFixIgEWkiMHDkShYWF0Gg0XtmtCIIghjLBRJjVaoXT6YRKRcFJBDGUIBFGJD179uwBAEyePNlDgAFClqkrrrgiEWYREoYPH55oEwiCIJIS+ZwwwDsVu9lshtFojKtdBEEkFhp2IZKegYEBAEBmZmaCLSEIgiCI8Ag2JwwY2iGJgZCvV0kQ6QSJMCJpefTRR8EYw/XXXw8AWLt2LRhj4t+aNWsCJuaQJshob2/H3XffjaqqKuj1epSXl+Pmm29GQ0ODz2v39vbijTfewHe+8x1MnDgRubm5yMjIwOjRo3HLLbfg0KFDMfzkyUFPTw96enrQ19fntaAmQRAEERrBwhEBEmFyVq1ahRUrVuCtt97yWGONINIJCkckkpbMzEyUlJRgYGAA3d3d0Gq1yM/PF/frdLqQyqmrq8P111+PEydOwGg0gjGG06dP4y9/+QtWr16Nbdu2IS8vz+Oc5cuX44477hC3s7Ky4HQ6ceTIERw5cgT/+te/8O6772LRokXKfNgkg3PuEUITKD09QRAE4Z9QwxGHIl9++SW0Wi30ej3KysrEJB1Wq1Uc/KN1woh0hURYEnDXf+9CbWNtos1QhKmlU/HMhc8oUta9996Le++9F8uXL8cNN9yAefPmeaV9P3jwYNBy7rjjDlRWVuK1117D3LlzYbfbsXLlSnz/+9/H8ePH8eSTT+I3v/mNxzkFBQW44447cO211+KMM85ATk4OOOc4cOAAfvGLX+Cf//wnvv3tb+PYsWMwmUyKfN5kgnPusR3qhHHOORwOB9RqNQk3giAIkCfMH3a7HY2NjeK2wWAQRZhOpxPvCUViEOkKibAkoLaxFmtPrE20GWmLXq/H6tWrUVBQAEBoBC+77DI89NBDuPfee/Hmm296ibBrr70W1157rcd7jDGMGzcOf//739HU1ITVq1fjzTffxPe///24fZZ4IY/BDybCTp8+jU2bNsFut4NzjsWLFyMnJyeWJhIEQSQ9TqfToz51zwlTq9XQarWil0e+aPFQQP6Z9Xq9+Fq6Nhh5woh0heaEEWnPLbfcIgowKZdffjkA4NixY+jr6wu5PMYYLr74YgDA+vXrFbEx2ZCLsGBeLcYYbDab6EGjtcIIgiCE6IDq6mqMGDECw4YNQ3Z2trhv7ty5OP/883HxxRdj8uTJCbQyMchFmNQ7SCKMGAqQJywJmFo6NdEmKEYyfpZZs2b5fL+8vFx83dnZ6RVWWFdXh+eeew6rV6/GkSNH0NPT4yVOTp8+rbzBSUC44YjSxZoBEmEEQRCA4PGaMWOGz30lJSVxtia5CNUTRuGIRLpCIiwJUGoOFeGbrKwsn+9LR93kI21r167FJZdcgt7eXvG9nJwc8Rx3spBwPGipRLjhiCTCCIIgiHCQz4OTijBp4i3yhBHpCoUjEoQMm82G7373u+jt7cWiRYvwxRdfYGBgAJ2dnWhsbERjYyN+97vfAfD2GKULUhHmXhIgENJRS4AaTYIgCCIw4YQjpmtbSwxtyBNGEDI2btyIuro65OfnY8WKFTAajV7HNDU1JcCy+CFt8ELJjEieMIIgCCIcpJ4wtVoNtVotbktFmDvrrrydIYhUh55ogpBRV1cHABgzZoxPAQYAq1evjqdJcUfqCSMRRhAEoTx2ux19fX0wm80wm80oKysLef3LdEDqCdPr9R4RF/L7YLVaSYQRaQc90QQhw51a/dChQzCbzV7ruXz88cf4/PPPE2Fa3AhXhElHMAESYQRBEABQX1+PvXv3QqPRQKvVYubMmWKb0tLSgnXr1onHnnvuuSgsLEyUqXFHKsLk7SyFuBNDAZoTRhAy5s+fD6PRiLa2Nlx33XVoaGgAICTj+Otf/4qrrrrKZ8r7dIFz7jUnLBiMMY9RSmowCYIgIM4nbm1tFdsSN0N9wWbp55Um5QBIhBFDAxJhBCEjNzcXTz75JADgjTfewLBhw5Cbm4vs7GzceOONGD16NH7+858n2MrYEW56ejfSRpM8YQRBEN51oXSwaqiLMHk4ohRpOKJOp4PD4YibXQQRLygckSB88D//8z+oqKjA008/je3bt8Nut2PcuHG4+uqrcd999+H1119PtIkxgzGG3NxcOJ1OOJ1Or1BDf0g7FyTCCIIgvOtCaX0qFx5DSYRxzgOGI+bm5uLyyy+HRqMJKRqDIFIRRmk/I2PmzJl8y5YtIR+/b98+jB8/PoYWEURsCfYMr169Gh0dHQCA0tJSnH322fEyjSAIIimpra3FoUOHAAgDVVdccYXH/vfee08UI1VVVZg5c2bcbUwEnHN0d3fDYrHAbDYjKysLeXl5iTaLIGICY2wr59zrx02eMIIgFME9YqnRaEL2nhEEQaQz0rlMvrL76fV6UYTJ181KZxhjYhIsghiqkAgjCEIRFixYENLCzgRBEEMFaTiiPNkEIIThdXd3Axha4YgEQZAIIwhCIUJN4EEQBDFUkIowX54w6VwoEmEEMbQgEUYQhAfu8BnGGFQqFYkrgiCICAlXhHHOKZrARWNjI/r6+mCz2ZCRkYGRI0cm2iSCUBQSYQRBeDAwMCB2HLRaLbKyshJsEUEQRGoSbE6YVIQ5nU7YbDaP9OzpSk9PD2w2G/R6PQwGg895xHv37kVbWxsAoLi4mEQYkXaQCCMIwgPpQs3kBSMIgoicUOaESTGbzUNChB08eBBHjx4FIKwDtmzZMq9jpPeLFmsm0hESYQRBiHDOPURYOGEx3d3daG5uht1uF9dV8zXySxAEMVQIJxwREERYdnZ2zO1KNNL5b/J74EYqwqxWa8xtIoh4Qz0kgiBE5OsGhuMJa21txfbt28Xt6upqEmEEQQxpgokwo9GIoqIiGAwG8W8oIE3HL1+02o3UI0ieMCIdoR5SHKEJt0SyI/WCAYMiLJRF3eUdDGnngyAIYihy4YUXwmazwW63+xQbWVlZWLhwYfwNSzBSERaKJ8xms1Efikg7SITFCbVaPWQm3BKpiz8RZrVag3q15PMdSIQRBDHUMRqNiTYhKZGGI/rzhEnbFM45HA4HRVcQaQXNuo8TWVlZ4oKMBJGsyEUYYwycc7S1tSEnJyfgufLGkcJHCCJ1cWfqIwilcTgcHoN0oYQjAjQvjEg/aEghTuTn5+PkyZMAgOzsbGi1WnKrE0mHO+yQcw7OOfr6+tDV1QW73Y7i4uKA51I4IkGkPhs3bkRzczOsVitKSkqwYMGCRJtEpBnSUEQgtHBEgAb2iPSDRFic0Ov1GDFiBNrb23H8+HE4HI5Em0QQXlgsFlE8McZQVFQEk8mEvLy8oEk6SIQRROrjcDhEj4M0ZIwglEL+XIUSjgiQCCPSDxJhcUSv16OsrAxlZWWJNoUgfPLll1+isbERAJCTk4MZM2aEfC7NCSOI1EfaIZZ7LIjwMJvN6OzshEajgUajQVZWls9FiY8dO4ZTp06J4mTx4sXxNjWuhOoJk4cjkggj0g0SYQRBiEhHKDMyMsI6l+aEEUTqIxdhlJEuctra2rBhwwZxe9GiRcjLy/M6rre3F01NTeJ2ut/zSD1hNCeMSDcoMQdBECIDAwPi63BFmHyElzxhBJFaOJ1Oj1B5zjkNpkSBvA70l9lP7glKdw+k/PNROCIxVCFPGEEQAIQOV1VVFfr7+2E2m5GbmxvW+YwxaDQaseNBIowgUov+/n4cPnzY4z2z2UxLq0SIXDTIRYUbuQgzm81pvWizVISpVCq/4lSn02H06NHQarXQarUoLCyMl4kEERdIhBEEAUAQUZMmTYqqDBJhBJG6+PrNprtXJpZE6glL94QoWVlZKCsrg9lshkql8ht6qVKpMG3atDhbRxDxg0QYQRCKIe1kxEKEdXV14fTp0xg2bFjQdcsIgggPEmHKIr+fvpJyAENPhFVXV6O6ujrRZhBEwiERRhCEYowaNQo2mw0ajQbZ2dmKlm21WvHpp5/C4XBg3759uPTSS/2G9xAEET4kwpRFej81Go1fj89QE2EEQQiQCCMIQjHGjBkTs7KPHTsmJg1wOBw4efIkRo0aFbPrEcRQw1fiAxIEkSO9n/5CEd371Gq1WL/RPSeIoQFlRyQIIiWQZm4EaM4ZQSgNecKURXo/A3ntGWMe3jASYb7hnCfaBIJQFPKEEQQBANi+fTuampqQkZGB7OzspJsQLU2dDfifX0EQRGSQCFMWeThiIPR6Pfr6+gDQPZeyc+dOnDp1CjabDXq9HhdddFGiTSIIxSARRhAEAKCnp0f8S8ZFMeUiLJ0XMyWIRCAXYVqtNqh4IPwTjggbKp6w3t5ebNq0CQaDAXq9HqNGjQq4HIrNZkN/fz8AqvOJ9INqV4IgAHg2/OEu1OwLzrmijaZchMm3CYKIDrkIW7ZsGXV8oyDUOWHA0BFhAwMDaGtrE7eHDx8e8HjpGnU2m03xdoUgEgmJMIIgAHjOuYp0odDDhw9j3759sNvtcDgcuOqqqxRrMOWii+aEEYSyyOcwUWc3OkKdEwZ41rlWqxVOpxMqVfpN25cLTL1eH/B46X3jnMPhcJB3NgpIxCYX9CQTBAGHw+ERghipJ8zhcHg0sna7XbE08qNHj0ZDQ4O4LR0hJQgiesIJnyOCU1paioGBAdjt9qDrGlZVVWHYsGFimF46CjDAe75bOCIMEAQqPZvh43A4sGHDBnR0dKC6uhoTJkwgMZYE0JNMEITX6GSkIkzeYNpsNsVEWGlpKa6++mpFyiIIwptwwueI4EyfPj3kY41GI4xGYwytSQ7CFWHywTZfyygQwTl16hQaGxsBAPv27UN7ezvmzJlDg5kJJj2HWgiCCAu5CIs0HFHecaOQQYJIHTIyMpCVlYWMjAxF5oUShBxpW6PT6YJ6/HwN7BHh09vb67Hd1NSETz/9FN3d3QmyiADIE0YQBLzX4Iq0A0YijCBSF/eyFBaLBfX19di3bx8sFguqqqqChtMRRChIPWHBvGAAiTCl8JXxuLe3F59++inOPPNMlJeXJ8AqgkQYQRAkwgiCELFYLNi6dau4nZ+fTyKMUASpJyyUiAt5uFwyLp+SCvi7b3a7HRs2bMCECRMwfvx4micWZ4aMCGOMZQE4F8AsADNd/xe4do/nnO9PlG0EkWjCzVjlD/mopVIizOl0gnNOCzQTRByQ//7TOWV6MtHV1YWBgQGYzWYYDAaUlpYm2iTFIU9YYqipqUFZWRmsVitsNhuamprQ2toq7t+zZw86Oztx5pln0nzQODKU7vT5AN5JtBEEkYzI09NHOhomr7yVajDb2tqwZs0acTs3NxdlZWWYOHGiIuUTBDGITqcDYwyccwDeyRSI4HR1dWHbtm3QaDTQarUYN25cwEWJAWDjxo3o6ekBAJSXl6e9CAvFE0YiTBkKCgpQUFAgbo8bNw61tbU4cuSI+F59fT2ampooNDGODLXEHM0AVgJ4DMAtCbaFIJIGpRZqjlU4orwT2NnZiVOnTilSNkEQnjDGPMLASISFj8ViQWtrKxobG3Hq1KmQwujSfcFmh8PhIaJC8YSp1WqPCAgKR1QGlUqF6dOnY8aMGeKg65gxY0iAxZmh5Al7n3P+rnuDMVaZOFMIIrmQdrKSUYT5anhpvhmRSjidTnGNo2QM9+GcY+vWraJ90johHQVBrJF7bEJZqkMqStJR+Iabnt6NVquFw+Hw8M4SylBdXY3s7GwcOXIEkyZNSrQ5Q47kawliBOfckWgbCCJZWbRoEaxWK8xmc1QTc+PlCVOybIKIJT09PVi9erX4vM6ZMwcVFRUJtsobu92OY8eO+dyXjoIg1sjrp1CEd7p7wuTPUahLoSxevBgajQYqlYoSR8SAwsJCFBYW+txnt9vBGKP52DFiyIiwtOTVV4EdOxJtBZEsGI3ANdcAEcyTYoxBr9dHnJBDWo5arYbDIYx5KBW/70+Ecc6pUSaSGs65R4c8WcOpAg1qkAgLn2hFmN1uh91uT0qvaaTk5OTgwgsvhNlshsViQX5+fkjnRdsuDXXcXnitVhuWmOKcY9OmTRgYGMC8efNo7cAYkD6/7qHIBx8Ab7yRaCuIZOK554AjRwDJBNx4E4vQEX+dQIfDkVadFCL9WL9+vcd2soow+YCJXq8Xf3fp6JWJNXIRFko4otwzZDabkZmZqahdiUSlUiErKwtZWVmJNmVI0d/fj48++giAMMdu1qxZIXnj9+3bh/r6egDA6tWrMW/ePI/kHkT0UO8lDBhjt8CV0GPEiBEJtoYgfNDVBXz6KfDNbybMhCVLlnhNpo4WEmFEqiJ/dpNVhMlFg8lkEm13OBxp55WJNXJRG0p9mO4ijEgM0jrH4XCE9CxaLBYcOnRI3DabzVizZg3OO+885OXlxcTOoQjVqGHAOX8JwEsAMHPmzMTPDjUYAKqgCQDo7R18Lak4E4F8cU0l8CfC7HY7haoQSYvNZvPqjKeKCMvMzER7e7u4bbFYSISFgfR+ajSakMKmfYkwgogWeZ0TShut1+tx3nnnYf369eKyCU6nEydPniQRpiBUo6Yyr76aaAuIZKGoCHAvvHj4cFintrW1oaurCwaDARkZGcjNzU26eVb+Oq6UnINIZqTr77lJ1vlVvjxhUiwWi9d7hH/kIiwUSIT5pru7Gx0dHeKgxrhx45KujUpmIhFhAJCVlYXzzz8fq1atEuuyvr4+xe0bypAII4h0oKZmUISF6Qmrr6/HgQMHAAiJNa666iqlrYuaQJ4wgkhW+vv7vd5LJU+YlGQVj8lKJCJM7tVPNxHW6mqj9Ho9DAZDSPPkAOD06dPYtWuXuF1TU0Ne2TCIVIQBwlzG7OxsEmExgp5igkgHamqAjRuF12GKMOlovcFgSLoRRrvdLmZb9LWPIJIVX56wVBFhOTk5GDduHAwGA/R6PXJzcxNjWIoiDUMNVWyoVKq0Toiyfft2dHZ2AgBKS0tx9tlnh3Se/P7ZbDYSYWEQjQgDPL3iJMKUhZ5igkgHRo8efN3cDHR3A9nZIZ0qbeiVSEHb0dGBrq4uMYV8TU1NVOUF6rSSCCOSmVT3hNHirZETiScMEAbC0lWESb2poa4RBniLBpvNRunSw0Ba56jVaqhUqrDOl4owm80Gq9Uak7nfQxESYQSRDsiFzuHDwPTpIZ0qHa1XomE7ceKEmFVJo9FELcLsdjsyMjJgsVjgdDq99hFEsuJPhCXj+naRZPMj/BOpCCstLUVubi4MBkNaeR855x6iMpyESnJPWLIOZCQr0vsViXgyGo0e2319fSTCFIJEGEGkA3Khc+hQyCJM2jCGMzrpD2mHQ4kFlbOzs3HJJZeIjfjJkyeh0+mg0WhozRIiqfEVjuhevDnUELV4IRUNkYyWE57MnTsXVqsVNpstrO968uTJMbQqcdhsNo91I8Npa3yFIxKhE60Ikyfk6evrowyJCjGkRBhjrFCyKX2CcmX72jnnnkPuBJHMSMMRgZAzJNrtdo8GTQlPmLzBVKrDyRhDRkYGxo4dG3VZBBEPfHnCAKFTlMwijObbRA+t7+WJPLFLOJ4wX+GIROhI75cSIsxfvUaEz1CraVv8vL9Rtl0F4HhsTSEIBcnJEdLUt7ge8RCTc8jnHCjtCQOUE2EEkUpwzr06KwaDATqdziusNhmoqqpCYWEhbDabl+fa4XDAZrMpUj8QQxN5W0PhiPEjWk+YXq+HWq0WE2RRcg7lGGoijCBiyr59+3Dy5EmYTCZkZmZiypQp8Zv7UVMTtgiTh0sp4QnzJcIIYqhhs9k8snpOmjQJ48aNS6BFgcnPz0d+fr7Hezt37sSRI0dgt9thMBhw6aWXJsg6ItWRe8IoHDF+RCvCGGMYPnw4AMErVlhYGOQMIlSGlAjjnCfXTOghhNPpBGMs6SajK01XVxe6u7vR3d0NQKi8Jk+eHJ/PXVMDbNggvA4xHFE+OkkijCCUwWazITs7G/39/bDb7V6T21MF9+/XYrEkZUKRdCdd7nk0njD3HEW3B5lEWHhkZGSAMRZVVsMzzzxTYasIYIiJMCJxNDQ0YMOGDVCr1dBqtTjnnHOQHWIK9VRC7qY/ePAgxowZE590uhGkqZd7wpQIN1J61PLo0aMYGBiAXq9HZmYmSktL4XQ6xc4hZWkikhGTyYQlS5aAcw6bzZaSiS6k9YH7c9DvLTgOhwMdHR3QaDTQaDQwGAwhz7MbGBjA119/DbPZDLPZjOnTp2PEiBExtjj2RDMnDBDaFXcZFI4YHosWLRJfS5OjEImHRBgRF9wdcYfDAYfDga1bt6KsrCypw3MiwdeE1c7OzviIMF8ZEmfMCHiKVISpVCpFOlhKe8JOnDiB1tZWAEBhYSF27dolLvhZXl6OefPmRVU+QcQSxljKChd5R9lisaTsZ4knfX19+Pzzz8Xt2bNnhyykVCoVWloGp6+ny1phUhGm0+nCHpTQ6XRiGeQJi5x08KqmE6k3NEekJPJKs7W1FUePHk2rURmHw+Gzwezq6oqPAb5EWBDk6emVqKCVFmHSxluv13s03hTqSBDKYLVa4XA4POpkXyKMCI68Xgon26ROp/Ooh9NFhEW6RpgbaYQFiTAiXSBPGBEXfHWW+/r60NnZmTbrTfjLGOT22sScCNLUDxs2DBkZGVHFisuJtQiTNsAkwohU4fjx4+jv74fVakV2djaqq6sTbZIHK1euFDMjjhkzBpMnT/bqLKeLIIg10YgwxhgMBoMYpZAu91xej4fL8OHDUVBQAK1Wi6ysLCVNI8KEcw6n00kLuisAiTAiLvgbuaqrqyMRphTZ2UBxsTAfDAjJE1ZRUYGKigpFzVByThjn3CP+X6/Xe3RKSIQRqcLBgwdFr/iwYcOSSoS5F5B2v3Z7YuRzRMkTFhryOi/cJTrSUYQVFxeLIYW5ublhn0/rQyYWh8OBdevWoa+vD/39/Zg4cWLaTSdJBCTCiLjgr7NcV1eHiRMnpkWcsj8R1tPTA4fDEZ9Ro5qasERYLFDSEyafgO1er0SJsgkiltTW1kKlUsFoNCI/P9/D05xsYsbpdHqEIbp/wxSOGBnReMIAT/GbLiJswoQJiTZhSNLS0oK6ujrodDrodDpUVVVFtBi7Wq1GR0eHOMBAa4UpA4kwIi7484b09vamTUhioFXku7u74/MZR48G1q8XXoeYpl5pGGMYNWoU1Go1NBoNioqKIi5L3unT6XQeDYh0HSaCSBY45zhy5IiYUrumpsZDhCVbdjd/okGlUkGr1Yr1d7oIglijpAgj4UtEQ3t7Ow5L+gKVlZURl2UymcTIHhJhykAijIgLUhHGGPMYdU2XkMRAlVLchKY0OUdLC9DVBeTkxP66MqZPn65IOb7SGks7NOQJI5IRq9UqCjAAMBqNHs9qqogwwHMeJgmC0IhWhEk9kGazOW3WCiPij7SuYYxF5AVzQyJMeSg7IhEXpI1SQUGBx8Taurq6tMiSKK2UCgsLPRrNuM0LiyBDYjLjKxxRLsLS4dkh0gu5V9xoNHp5wpLpuQ0kGsgrEz7yyI9oPGEA3XcicqRtqDzzZriYTCbxdX9/f1LVYakKecKIuCBtlLRaLYqLi7F3714AQkhiV1dXRJN1kwmpCMvKyoLNZhMn4sctTb2vDIkzZ/o8tK2tDV9++SX0ej30ej2mTp2K/Pz8OBgZOsE8YYAQkhjN6B5BKI1chGVkZHiIMHcijHATNsQKuQiT2iX3yhDBkd5PjUYTdsdXLsLMZrPXe0ONpqYm1NbWwmazwWq14vzzz0dOAqI8Ug25CIsGqQhzOp0wm83xWQM1jaGeCxEXpCJMo9Fg+PDhoggDgFOnTqW0CLPb7R4Nr8lkgtPpFMVXZ2dnfEJKwvCEWSwW2Gw22Gw29Pb2JuWoVrA5YYBw70mEEcmEdBF0wNsTBgido2QRYYE8N+61+QwGA3W4QkQuwsLFlwhLZerr67F//37o9XoYDAZMmjQp7DT1nHN0d3eL27RWWGgoKcKMRqPHdl9fH9UJUUI9FyIuSBslrVaL7OxsZGVloaenB0DqZ0nUaDS48sorYTabxYqpvr4eJ06cACA0GAMDA16VmOJkZQElJUBTk7AdQIT5CvVLNqQizJ3oQ+l1yAhCaaSeMPe6T/Lfl9Vq9RhZTiSBwhGnTZuG6dOnp2zdnAhIhHnS29uL9vZ2cXvKlClhl6Hk0idDiVh5wgBBhBUWFkZV5lCHRBgRF9RqNVQqFZxOpxieMXz4cOzbtw9AeoQkMsaQkZEhjgwVFhZi1KhRyMnJQW5ubvxEzujRgyIsQIZEX6F+SrFr1y7U1dXBbrcjIyMDixYtiqgcXwt8+gpHJIhkQirCMjIywBjz6QlLFgKJMJWKpo6HizzyI1ykIowxlvIDTVIRqVKpIronJMIiQ1rPROt59yXCiOggEUbEhYsvvhiA53o0FRUV2LdvH1QqFUpKSpIyHC4a8vPzEzPHqqZmME19kHBEN9FmTZJjNpvR29sbdTnV1dUoKCiAxWIR1wdze8Pcf+n23BCpjzQc0T0ok6oijAifvLw8OJ1O2O12jyRUoaLRaLB48WIYDIaokykkA/LBtEg+TzL/fpIZJT1hGo0Ger1e/D5JhEUP1bREXJGOqmZnZ2Pu3LkoLi6OunIgJEjnhbW2Ap2dgA8PoxINoz+kI27RjOIWFRV5rTNWWlqKK664IuIyCSLWSD1h7hDkZO5EkghTlokTJ0Z1PmMsrZJO+IpoCBfyhIWPeyDAjRL9LJPJRCJMQSjOgEgY7pBEEmAK4ytDog+UaBj9QWnkiaEK59zDE5YKIkytViMjIwNarRYqlUr0OhOEEkjDESPN8uie0uCGRFhw5PdIKRHmhkRY9NBwF0EowOHDh6FWq2EymZCVlZXYjEG+MiT6SFMv7QTGUoQBlEaeGDq4F9d1464L1Go1JkyYAJ1OB51Ol1TzX2tqalDjqjfkWVydTieOHj0Ki8UCi8WCsrIylJWVJcpUIo50dnaivb0dw4YNiypFvlIDflqtViwrmQYxkhX5PVJShGk0Guh0OlpIPEqoV0QQUcI5x65du0S3/6hRozB9+nSPY8xmMzo7O5GTkxN7gSb3hPmZFxYvTxhAaeSJoYOvhZrdnHHGGfE2J2zkHSrGGLZv3y5ua7VaEmFDgN7eXqxevRqccxw+fBiLFi2KKEkL59yjrYlGzOl0OrEs8oQFJxYibMyYMRg7diy0Wi2JLwWgXhERFl3mLtz78b3otfXiJ3N+gjPLzwx6Tnd3N+rq6qDVaqHVajFs2DC/lYG7gk3GdOn+sNlsHnHX0k5Xf38/Vq9eLX6uGTNmoLq6OrYGZWUBpaVAY6OwHUI4otIhob7i98NtfJ1OJ5xOJ9RqNVX2RMqQnZ2Ns88+GwMDA+jv708qj1ckMMY8JuPLs6oSsaG/vx+dnZ0wm80wm80YN25cXDNVHj9+XPTodnV1oampKSLxbbPZ4HQ6xe1oPWHSconAZGZmYvbs2bBarbBarcjOzo66zFTqm6UCJMKIsLj5/Zvxxt43AACv734dN02/CU+e/yQKjAV+z+ns7MSePXvE7SVLlnh0+jnnOHr0KOrq6tDS0oJx48ZFPbE5nsjjoqUx0waDwaOx6OzsjI9Ro0cPijAfnjCn0+lhVzw8YeHS1dWF1atXQ6VSQa/XY9asWWIWzYMHD8LhcMBut6OoqIhG5omkQavVorS0NNFmKIrBYCARFiJ2ux0bN26ERqOBVqvFiBEjUFxcHHY5DQ0N2LZtm7hdWVkZ+3UmJUgXRnbbE0k9K39eovGESUUYhSMGR6/XY8SIEYk2gwgAJeYgQmbdyXWiAAMADo4/b/szxjw/Bn/e+mc4udPneaFk3jp06BCam5vBOcepU6dSKpFDIBGmUqk8slzFTYRJ54X5EGGxXqhZCRHmbrydTicGBgbEUWDGGHbv3o09e/bgwIEDaGlpid5ggiD8Iq0fUn3h4Fhjs9nQ2NiIuro6HDt2LOKlOhK9YLN8/cX6+vqI2mUl16OUDt6SJ4xIB0iEESHh5E7cvepun/vaB9pxywe3YO7Lc7Hl9Bav/fLKUh6q5s6S6Ma9cHOqEEiEAfAQYV1dXfERmFIR1tYGdHR47LZarR4hfskswtxIbZRnXySIVMLhcHhkUEw0Bw4cwO7du7F//340NDR47Zf+9sgTFhh5exfpXNhEizB5u2Y2m9HW1hZ2OXK7lQpHlIY4EkSqQuGIREi8tus1bD69Wdw+e8TZON1zGkc6jojvbarfhDP/fCZunXErfnn+L5GfISxUHIonbPjw4di3b5+4XVdXlzJzKaSNlTtjkBTp57Db7ejv7/cSaorjK039rFniZnZ2Nq666irY7XZYLBbFRZhcaMdChLm9eSTCiFRh37592Lt3L5xOJxhjuOqqq5JivuPRo0dFj01FRYVX2JlUEJAIC4xSa64lUoRxzn2mH6+rq0NhYWFYZSkZjjhx4kRMnDhRXEqBSAxtbW3o7OxEX18fVCpVSk0fSTboKSaC0m/rxwOfPiBu69Q6vHL5K9h92248vvBxGDSDlSoHx4tbX8SY58bg5W0vw8k95x5pNBqfnY6cnBxkZWWJ23V1dQkPSdx4aiPWHF/jN8zSjbSxMplMXp9PvuhmXEISfaWpl8EYg1arRWZmppdoihZ5xyOS0BF54y0Vt+QJI5IVdzIFX/UXY0wcweecJ82zK7XDl2iQDoDY7faksTsZSQcRZrPZYDQavdqySEISKysrsXTpUpx33nmYP39+VAN+er0eer2eBFiIWK3WmKzTefjwYWzbtg0HDhzAsWPHFC17qEGeMCIov9/4e9R114nbd82+C1V5VQCAh895GN+d/F3cteouvHfgPfGYtoE23PT+TfjL9r/gtpG3wQChQfHXILlDEt3esJ6eHnR3d3sJmHjxpy1/wg8//CEAYH7FfLx82csYWzjW57FSEeZr4rTco9fZ2Yny8nLljPVFiGnqY4US4YjSeWs6nc6jQ0AiTHncGdCGDRuGzMzMRJuTkjidTnzyyScAhPmgEyZMwLhx48T9vhZsVnoAJBLkA2Vy5B1ni8VCS074QV4fRfr9qtVqaLVa8buJpwjT6XS46KKLwDnH9u3bceSIEPFiNBphtVrDElLu9TNjHv1BePH111+jsbERKpUKhYWFOOeccxQpV/pdms1mOBwOWuA9QqgWJQLS2NuIJ9c9KW4XGgvxs7N/5nFMVV4VVnxrBT44+AHu/O+dONpxVNz3Vd1X2FS3CRfkXYBriq9BljYL/pCHJJ46dSohIqzf1o+HP39Y3F5/aj2mvDgFjy18DPfMuwca1eDPhnPusS6Qr4ZGp9MhIyNDnAMSl/lumZkhpamPFVqtFkuXLhUzhEUychloHTMSYcpiNpvx2WefwW6348CBA7jwwguTQhykGtJ5Xk6n0+se+hJhie6ccs49kjD4+t59ibBE252sKDUnDPDMrpuIhCiMMYwdOxY5OTkoLy+PKpSQiD/uZ0fp+XPy335/f79HJBMROuTTJQLy8GcPo8826Ol5fOHjyDH4FkaXjLkEe27bg0fPeRR69WCj7YQTqzpW4a7Dd+Gz9s/8hvfl5OR4jMAnKiTxb9v/hpZ+z4x7FocFD3z6AOb8ZQ52Nu0cfN9i8ejA+OuYSL1hyZIhMZYwxmAymaIKHSERFj+OHTsm3kez2YzTp08n2KLURJ5sQ74wu/w5ToY026GEz8k73zQvzD9KhSMCnvc9UVkpTSYTRo0aRQIsBZFHkyiFvJ/ja/4gERokwgi/7GjcgZe3vyxujy8cj5tn3BzwHIPGgJ8v/Dn2/ngvLq652GNft6MbTx16CguXL8SR9iNe5zLGUFFRIW67QxLjic1hw1MbnvK7f2vDVsx4aQYeXfMorA5r0MyIbqQirK+vLz7pdQOIsPr6ehw5cgR1dXVob2+PvS0RQCIsfsgHBlIpO2kyIfWKA97hyb48YYkmFNHgyxNG+CbdRFgyYbPZUF9fj+PHj+PQoUPo6elJtElJDYmw5IdEGOETzjnu+fgecAx6op5e/LRHKF4gqvOq8cG3P8B733oPJfoSj31fnvwSk1+cjD9u/qOXp0uaqh4QQhLjyX/2/Acnuk6I2z8762d4YekLyNQNeujsTjseW/sYZrw0AxuOb/A4358Ik4dVxqWTK50X1t4u/LlwT6zduHEjtm/fHntbIiCQCJPGnyerCOvv78e6deuwfv16r855siHvzMTNW5tmyD1h6SrCSBD4J1YiLFWFb11dHZqbm9Hd3R314OPAwAA2bNiAzZs3o7a2Fh2ypVeIQTjnMRNhGRkZHnO0SYRFDokwwicrD63Ep8c+FbcXj1qMC0dfGHY5l469FP93xv/hG4XfgJYNzjXot/XjtpW3Yck/lngk/UhkSCLnHL9e/2tx26Ax4M45d+JHs36E3T/ajSWjlngcv7t5Ny7/8HJ8zD/GiFEjUF5eHpInDIiTCJNnSJTMC5NWzkqnp1eCYA2ItGMjX1Q0Wdi0aRMaGhpw+vRp7Ny5M/gJCcJut3t5nNvb2xOenTQVkYptd2IFKakqwjQaDSZMmIBp06Zh7ty5XoNlxCBSoaFWq6NagiBRWSl37NiBPXv24Pjx4z7bqlDtcDqd2LhxI9auXYtVq1bh4MGDUdkl//3Qgs3+kWdFVFKEqVQqj1BrEmGRQyKM8MLmsOHeT+4Vt1VMhd9e8NuIGxO1U41vFn8Tv63+LabkTfHY98nRTzDxhYn4+46/g3PutXBzPEMSPzr8EXY17xK3b5x2I4pNxQCAkbkj8dF3PsLflv0NuYZc8Rgnd+Iv+/6C763/HhzlDr/JDDIzM5GZmYnS0lKMHTsWeXl5Mf0sAAKmqQ/kZVKK9vZ21NXV4fjx46ivrw/rXHnnNFg4YrIJho6ODrS0DM4rVLIBVJrOzk6v+2ez2cR1o4jQkYowXym+1Wq1hxc3VUQYYwxnnHEGRo8ejeHDh1P2zABI72e0yW0Skabe6XTi0KFD2Lt3LzZv3owTJ4TIEJvNhhMnTmD9+vVYsWJFSKGASq4RBnjfz2T4/SQr8nujdKIl6YAzibDIoeyIhBcvbX0J+1v3i9s3TbsJk0omRVzexIkTYbVaMdY+FpfnXY5/n/w3Hv78YVgdQiXRZenCde9eh7f3v40/XfInVFRU4NixYxg+fDiGDx+O7OzsqD9TKPxq3a/E12qmxj1z7/HYzxjD9VOvx5JRS3Dbytvw7v53xX2H2g9hwfIFuH3W7Xhy0ZMe4Yvucy+66KKY2u/FqFGe2y5PGOfco3GMlUDYs2cPGl3ZGfPy8sJKy2+322EymWCxWGC32wOKMEDwhiVTyuxDsjl4VVVVCbIkOG1tbR7b5eXlqKiooIn4ESANR5Qn5XCj0+nE45KhE6lk+BwRfM21cMjJyUFlZSUMBgMMBkNcMpYODAx4DMq4O9s9PT3YtGmT+H5dXR3Gjx8fsCy5aIx2wE+lUkGlUonZ/sgT5h953aJ0O28ymcSBRhJhkUO1bYrz+u7XMaF4AiYWK7Nieae5Ez9f83NxO1OXicfPfTyqMkfL1qy6v+J+LK1ZiuveuQ7bGwfnI727/12sO7kOL178Iq689MqowjjCZcOpDfjy5Jfi9rcmfktcC01OWVYZ3v7m23hj7xu4feXtHpkUn9/8PN4/+D7+fOmfccGoC2Jud0AyM4GyMqChQdh2CQOHw+GRsjZWnrBokmeYTCYsXboUgO9ww6KiIkycOBEajcbvAuCJYmBgACdPnhS3i4qK4uP5jBBpYhadToe5c+cm1f1MJeSeMF8kuwijpQmiY8KECaiurobNZot6UeH8/Hzk5+crZFloyDvU7uc4Ly8PRqNRfMbr6+uDijClPWGMMWi1WrFcEmH+kd+bWIgwN+5FoWkAJ3woHDGF2dawDde9ex3O/POZeKX2FUXK/OUXv0TbwODI+M/O+hlKMksCnBEZE4sn4qubvsLDCx6Gmg2G57T2t+Ibb3wD1717HToG4jfpVjoXDADun39/wOMZY/jmhG9i74/34tuTvu2x70TXCSz+x2L8+MMfw+FM8HwlHxkS5Q1jMoowKfIQLgAoKCjA+PHjUVNTg6qqqqRaKPLIkSMeI8k18rDQJGPUqFEYP348SkpKUFpaSgIsQhwOh8dvK5AIc5MMIkzJda0IICsrC8XFxSgvL0dZWVmizQkbfxl/GWMe0QwdHR1BPSCxaGukgwTJ8PtJVuLhCZNC3rDIIBGWonSaO3H1G1fD6rBiwD6A61dcj5veuwkDtoHgJ/vhSPsRPLvpWXF7RM4I3DXnLgWs9Y1OrcPj5z6OjTduxLjCcR77/rHzH5j4x4lYdXhVzK7vZk/zHrx34D1xe2nNUkwumRz0PKfTiWxNNv555T+x4lsrUJbp2eC+sOUF3PvxvX7OjhNSL6QrHDERImyojFg6HA4cOTK4/ILJZMKwYcMSaFFwiouLMXHiRCxYsACzZ89OtDkpS7A1wtzodDpoNBoYjcakSIpTWFiI6dOnY/LkyRg/fnzAzhrnXJwvmGzzMAllkGdylXa25QlZgs31VTocEfAUE0OlXYkEEmGpAQ15pSg2hw2VuZU42nFUfO/l7S9j8+nNeOPqNzCmYEzYZT7w6QPiPC0A+NX5v0KG1ndHQklmlc/Ctlu24aHPHsLvv/q9mBb/dM9pXPjPC3HrjFvx28W/9ZpnpRTydcEemP9ASOe1tbVhzZo10Gq1MJlMWP/t9fjl5l96rK32zNfPYGTuSC8x6+7MxDxhg9QL40pTnyhPmDvxSjpz8uRJj8Zv9OjR4me2Wq1wOBx+O+dEahNsjTA3yRbumZ2dHdK82yNHjqC2tlYMZV62bFlSJ5whIkPamTYYDB5RBgUFBTAYDKK4qqurw5gx/vsa0rbGHUoYLdIySIT5J9YiLCsrC+PGjYPJZILJZErqkPtkhjxhKUqRqQgff/djPLzgYTAMNug7m3Zixksz8J89/wmrvHUn1+HNvW+K27PLZ+NbE7+lmL3ByNBm4OklT2PN9WtQles5F+tPW/+EcX8Yh4/2fqT4dU92ncQ/d/1T3J5XMQ9njTgrpHPdjZXNZkNnZyfyjfn4y2V/wauXv+px3N2r7sZbe98CAOzevRuffvop3nnnHY9JzjHDR4ZEuQiLVUdK3uAmayp5peCceyTk0Gg0qKqqwu7du7F69WqsWLECBw4cSKCFocM5R3d3Ny2GGgZqtRolJSXIzs4WPV2+SCYBFg4ajcZjLmmqrluVykjvf6yQijC5t0MektjW1ublAZYi9YQZDAZFnn0KRwwNtVoNo9EIjUYDlUqleMi+Xq/HpEmTUF1djZKSEhqQiRDyhKUwapUaj5/7OOZXzMd33/kuWvtbAQC91l5c8+Y1+PLEl/jt4t9Crwns6XByJ+5edbfHe79b8jtFKsz6+np8/fXX0Gg00Gq1mD9/fsBR1wUjF2DHD3fgvk/uw5+2/mmwnP56XPzGxXjh4hfww5k/jNouN7/b+DvYnYPzlR6Y/0DIn9tf2Mb3pnwP9T31ePDTBwEAHBzffee7KMsqA+/iYiIEpdYKs9gt+Onqn+LNvW/imgnX4LeLJcsJ+BBhVtmIVTw8YQDCmrh77Ngx9Pb2Qq/Xw2QyBcys6O6YRDsJPlpaWlo8vtOqqipotVo0NjaKi4o2NTUlyryQWb9+PZqbm2G321FZWYlZs2Yl2qSUoKCgAAsWLBC30y1cT15PWCwWZGVlJcia5KWzs1NMGKTVaqPu/NbW1qKhoQFmsxlZWVlYtGiRQpb6JpAIA4TsqdKQ6/r6eq/kW25isRQKhSOGRk1NjTgfeShEoaQq5AlLA5aMXoLtt27H/Ir5Hu8/v/l5nPW3s3Cs41jA81/b9Ro2n94sbn9zwjcxr2KeIrbZbDZxwnpvb29IHeUsfRZevORFrPz2ShRoC8T3OThuX3k7Pj36aYCzQ6etvw1/3vZncfuMojNw8ZiLQz5f2ljp9XoPgfHT+T/FrTNuFbfNdjMue+0ydKo7xff6+/ujHslr62/DBX+/AH/4+g+o76nH7776HdYcXzN4gI809bEIEfGFLxEWKnV1ddi/fz927NiBffv2ee3v6+vDihUr8NZbb+Gtt97CqVOnorY3WuQLkbo7JiUlg4lturu7A44cxxPOOTo6OrxG1202m/hdSTMnEuGRbp0eeSc6HmtWpRqcc3zyySf46KOP8P7772P//v3BTwqC1WpFb28v7HZ7zO+5w+HwqJ98ibCioiIPIVRXV+e3PGlbo9SSFxSOGD7pVhelEyTC0oTh2cPx+fc/x71zPRNBbDm9BdNfmu6ReEJKv60fD3w6OAdKp9bhV+f/yuexkRDNGjQX1VyEFUtW4KzswfBAB3fg6jeuxpH2IwHODI3nNz2PftugN+un838KFQv9JxEsbOP5pc/j4ppBUdc20IbbNtyGLvugtyQab9jRjqOY99d5Hqn1AXh+1yYTIE0MIQtH1Ol0MaugoxFhwUZQVSoVrFarKCCiyb6oBD09PWhwLwUAYNiwYeKCtlIRBiSPN6y3txerV6/GO++8g88++0xc80WaEru7u5s6OmmO0+kMyWsn70RTOKI3sVhzTXrfLRZLTD2sgZJyuFGpVB7JhlpaWvw+C1LRqJQnTCrCnE5n2oe5E+kNibA0QqvW4qnFT+Hda95FriFXfL/T3Ill/16G+z6+DzaHZ4fq9xt/j7ruwZGsu2bf5Xd9rEiQd+DC9bqcUX0G7ii/A2fnnC2+12HuwLJ/L0OPJfL5Kn3WPo9MkBXZFbh24rXhlREkbEOj0uDf3/g3ZpTNEN872XMSvz75a1icQqPV2dkZpuUCX9d9jTl/mYODbQe99n146EPPN2Rp6svLyzF+/HiMGjUKI0aMiOj6oSD/rsPpzAdbTDoagRcrpJnDpGnpCwoKPDzAySLC3F4up9OJtrY20Ub5ukTuUEpCGcxmMw4ePIjdu3dj27ZtioUlR8q6devw1ltv4d1338X69ev9Hif/HZII8ybWIszpdMZ0UMRfeno5oWRJ5JzHJBwxLy8PVVVVGDNmDCZOVGZ9VCJyOOcYGBhAW1sbCeIIIBGWhiwbtwzbbtmGmcNmerz/242/xcJXFoqiq7G3EU+ue1LcX2gsxM/O/pmitkgbDMZY2PN2cnNzkZWVhVvLbsUow2Bo3Z6WPfjeO9+Dk0c2Ufkv2/6C9oHBUKt7590LrTp0geh0Oj1GDf01Vpm6THzw7Q9QmVspvnfYfBh/qP8DnNwZUQfsnX3vYOErCz0WiZYmZznUfgiH2gYTRMjT1JeVlWHixImYPn06pk6dGvb1QyWWnrBkE2FZWVmYO3culi5dikmTJqGoqEjcp1arPbabm5uTYr6QNNSQMYbc3FwAJMJijcViEcNsjxw5gu7u7oTaY7PZxGytgX5HarXaY2CFwhG9iYUIi2cYqL+FmuUUFxd7fDZ/Iqy6uhrDhw9HUVFRSBk4Q6G0tBQzZ87ElClTMH78+KRaI3Ko0dDQgLfffhsffPABPvvss4TXZakIibA0pSqvCutuWIcfz/qxx/sbTm3AtD9Nw8dHPsbDnz2MPttgpfv4wseRY8hR1A5po6TVasMOfWOMoaysDDqVDvdV3IdcTa64b8WBFXh0zaNh22Rz2PD0xqfF7YKMAtw47cawygglbMNNaWYpVn57JfIMgwkxtvRswfLG5WF3cJ/56hlc9Z+rYLYPNsRTS6firW++5XHcR4clmSSlnrCODqCtDfEgUqFkt9s9RtR8iTDGmEfjm2gR5sZkMmHcuHFez7k0JNFsNidFYyUVYbm5ueL9zMjI8LjnNC8sOHa7HZ9//jm++uor7Ny5M+A9k3uUEp3hTV5HB0L6XJAnzJtoIz98IQ8DjaUIGzZsGObPn4+pU6eipqbGrwhTq9UYNmwYNBoNRowYgVHyuccQwhanTZuGuXPnYuHChaiqUi7ChghObW0tdu/ejYMHD8asDtfr9R5zimmtsPCh7IhpjF6jx/NLn8fZI87GTe/fhF5rLwCgtb8VF/7jQo9jxxeOx80zblbcBmmjFGmDVFBQgEOHDiFfm497h9+Lx08+DqtT6Lg88cUTmFQ8CVdPuDrk8l7b/RpOdQ8mcrjjzDtg0vkXUb4IdU0gN+OLxmPFt1Zg0d8XiWux/bfjvyg5WoJFfFFQcepwOnD3qrs9QigB4KLRF+H1b7wOo9aIQmOhmCHzw0Mf4n9m/49wkI8MiSgoQKzR6/UYMWKEmCnMPUcqGPJOqb8wFrVaLYq1ZA+D8DUvLCdH2QGPcHA6nR6hsFLvF2MM+fn54hw3EmHBGRgYQGtrq7idnZ3t5VF0k8wiLJjnRq/Xo7dXaEdIhHkT63BEILYiLCMjI+R1DKdMmYKZM2eSJyoJcTqdHsulTJgwwW99FA20YHP0kCdsCHDNxGuw9ZatmFQ8SXyPu/65eXrx09ColNfk4TTw/iiQCIYxxjF4ZMYjHvuvX3E9ahtrQyrLyZ349fpfi9tGrRG3n3l72DaFGjsv5eyRZ3utIfZK4yt4deurfs4Q6Lf146r/XOUlwG6dcSveu/Y9ZOmzoFapcdHoi8R9a46vQZ/VZaM8ffDhw0FtVQKDwYDZs2djxowZmDJlSsiLOYa6mLR8MehkJicnx+NzJHpeWGdnp8cIpryBlm739/dT6FkQwhmUUavVHh3XVBJh8iQRhCepLsLCQb6QM5E8xHqhZmm50meARFj4kAgbIowpGIOvbvoKP5j6A699i0ctxoWjL/RxVvQo4QkzGo0eo3MLshbgztl3itv9tn5c/u/L0dLX4ut0Dz44+AH2tuwVt2+ZfgsKjOF7hUKNnZdzzcRr8PN5P/d479b/3op1J9f5PL6ptwkLly/EigMrPN7/9aJf448X/9FDOC+tWSq+tjqs+PSYK5W/XIRJRsiSkVAXk04GEXb48GGvDrgvGGMoLi4Wt1taWhLqvZN7twKJMF/HE57In4Fg3gTpM51KIkw6kJAsYiCZiIUIk2ewpftOBCNeIowx5jEATSIsfEiEDSGMWiNeXvYy/rbsb8jQZIjvPb346ZilKVfCEwYAhYWF4uu2tjY8dcFTOL/qfPG9E10ncPUbV3tlf5TCOcev1g2m39eoNLh77t1+jw+EtLLJyMgIa0Tw/y38f1iSt0TctjgsuOy1y3Cg9YDHcfta9mHOy3M81nDTqXX491X/xv3z7/f6zhaPWuyRYn/loZXCC6MRkCx2fOqzz/Dhhx9i9erVaG5uDtnueJEqnrCOjg5s374dK1euxMaNG4PO85KGJDocjoQKG+m1NRqN16K7JMLCQ772W6qIMKfT6eERDUeESZeIIARiMSeMMebhDRvqIszpdOLTTz/Ff//7X7z33ns4cOBA8JOGGPESYYBnFFAoA5KEJyTChiDXT70ee27bg2cvfBYbb9yIicWxS/OqhCcM8AxJtNlsGOgbwOvfeB3VedXi+2tPrMWd/73T1+kAgHUn12Fj3UZx+zuTvoOKnIqI7NHpdDCZTF4jQaGg1Wpx++jbMTNzMHtlh7kDF/3zIjT1CmFqa4+vxby/zsPxzuPiMfkZ+fj0uk9xzcRrfJabn5Hvscj2h4c+HMzCJ/GGmRoa0N/f73Oh3mQg1DlhiRZh7ph7zjnq6uqCeraSab0wqajKz8/3EvQ6nc5jDh+JsMBIOx86nS6omJF2ihIZ1heu58ZgMECj0cBkMqGgoCDp52LGm1h4wgDERYTZbDZ0dnZGnAK/r68Pp0+fFrd3796NTz75BF988QW2bdumlJlgjKGjowM9PT2wWCwUFuuDRImwvr6+pMj8m0pQYo4hSlVeFe6YfUfMrxMLEQYI3rCqqiq89633MOflOWLSkT9u+SOmlEzBrTNv9SrjV+s9F6G+f/79Edszbdo0TJs2DU6nMyIBkJ+bjzuH34lfnPoFDvQJI3nHOo/hktcuwQ9n/BC3rbxNTOABANV51Vj57ZUYWzg2YLlLRy8VQxvruuuwu3k3JpVMEpJzrF0LAMhsbAQ4BxhTbO0WJUmFcESz2YyTJ0+K24WFhUHnvBmNRmRlZUGlUqGkpARlZWWxNtMnNpsNPT2Da+z5m7Cdn58vJmHo6OgA5zxmHvNURyrCQglNThZPWLiiYdSoURgtD28mRFJZhLW0tIjrxGm1WpxzzjkhzeOtq6vDvn370NnZCbVajWXLlkGtVqOnp0dM/qNkmBpjDDqdTmwnaDF5b+R1ihIeWX9IRZjD4YDFYvGax0j4h0QYEVOkoyLRNEi5ubmorKxEfn4+CgsLxTVHJhRPwD+u+Acuf/1y8djbP7od44vGY8HIBeJ7O5t2DobnAVg2dhnOKDojYnvcqFSqiEaZpk+fjtmzZ2OxeTHmvjwXRzuOAgC2nN6Cm07f5HHsnOFz8N633kORqchXUR5cPOZi/OyzwbXeVh5aOSjCXOj6+qDr6YE1OzvmImzz5s3o7OyE3W5HUVERZs6cGfQc+ULN/jr+iRRhR44c8Xi2x4wZE9J5ixYtUqxjFinB5oNJ329ra0N+fj7y8/NJhAVAGo4YSna5ZBVhwTpr9P0HRno/1Wq1YvfL3alVqVRhr7UZKlKhZLPZQu5Iuz1ogNAJb2xsRHl5uYdYVLpTrtVqxXYi0XMqk5FEecIA4TkiERY6JMKImLJs2TLRWxRNg6RSqTBr1izf1xi3DI8vfByPrBGyJtqddnzjP9/A5ps3Y2TuSADAb9b/xuOcn87/acS2KIG7kio2FeOj73yEuS/P9Vg82s2V46/EP674BzK0oaUNnlQ8CcOzh4sLcn946EP89KyfeiXnyGxsRHscRJh0NDTU5CWVlZXIy8sLGmbiFjPuFPjxwuFw4MiRI+K20WjEsGHDQjo30QIMCF2EjR49GjXy5Q0In0TrCUuUwJV7EZLh+UxlMjIykJ+fD7vdrqhYmjRpEqZMmQKNRhOz50QqwlQqVcgd6WHDhoExJg5K1dfXo7y83KP+VrqdkQ4WkCfMG/k9ibcIk0cuEf6hGpeIOZF6i8LhoQUPYWfzTry5900AQEt/Cy5//XKsu2Edmvua8e/d/xaPXTByAeZWzI2pPeEwpmAM3vvWezj/1fNhcQw2XHfPuRu/ueA3UKtCT/rBGMPS0Uvx0raXAAiLc3cMdCBP1pnObGxE1/jxMU8xHIm3qqCgIKRKfNq0aZg+fXrcO68nT5706GDU1NSklIcgLy8PlZWVaG9vh81m8+u5SaXPlEhsNpvHsx2uCOOcw263xzRkyB+xCp8bqowZMyZkr3g4xCNsXCrCjEZjyL9/vV6PoqIiMcnT6dOn4XQ6YyrCpL8fEmHeSD1hWq02pnW5vL6jDInhQYk5iLSAMYbly5ZjSskU8b3axlrcsOIG/HbDb+HggxPIH5j/QCJMDMj8EfPx+jdeR5YuC0atEc9f9DyeXvJ0WALMjTRVvYM78PGRj4FRozyOyWpoiEvDHsuQQZVKFXehwDn3WARTo9GgqqoqrjZES2lpKWbNmoUlS5bgoosuCn4CEZBw09MDybNgM+fco5NGImzoIn2Ow002NXz4cPG1zWZDU1OTxzMdi3BENxSO6I30nsR6AFyn03l8H5QhMTyoxiXSBpPOhHe/9S5m/XkWWvtbAQBv7H3D45jJJZOjXhPt6NGjaGtrg8lkQmZmJkaMGBFVeW6WjVuG5vua4XA6YNKF1whKOb/6fOjUOjGxx8rDK4WMiuXlQH09ACAzASIsHUYsW1pa0NXVJW5XVlZG7MHgnKOzsxNGozFhCVJosdXokaenD8UTVlBQgIkTJ0Kn04l/iaC0tBSXX345OOdwOp0hhdAdPXoUfX19sFgsyM3NpUQdaYLUgxGuCCsvL/fIgCgN1wbIExZv4inCACAnJwdWqxVGoxE5OTkxv146QSKMSDnMZjPa2tpgNpsxSubhqcytxJtXv4lFf18Eu9Pb8/LT+T+N2nvS1NSEujphzpXRaIxYhHV1deH06dPo6upCd3c3Fi1aBIMm+hHDTF0mzhl5Dj45+gkA4KNDH8HJnVDV1AyKsKamuHT8pQIlUQsqK8kh2ULXkcyZslgs2L59uzhaPGPGDFRXVwc/McG4OzuJCJtLZuQjv6GIsJycnKTqrDDGQhbkhw4dEtfEGzZsGImwNMBqtXqImXBFmMFgQGFhIVpbhcHPhoYGr/1KQnPCAhNvEXbuuefG/BrpCokwImb09PSgoaEBWq0WWq0WxcXFUVcIO3bswMGDBwEIo/hVVVVeo7fnVJ6DZy98FretvM3j/crcSnxzwjejuj4Q3YihlLa2NuzevVvc7unpUaxjtrRmqSjCWvpbsOX0FpxZUwOsWQNA8ITp4tCZlocjBktA4E7iEus49kjo7e31WAdn2LBhHmtphYpWq0VDQ4MoSpuampJWhFmtVtTW1qKjowPd3d0pIxjjyciRI1FYWIj+/n4MDAyEFI6YyhgMBlGEDfWFg+NJT08PWltb0dXVBZvN5jdRVSTI5/FE0q4NHz5cFGFyYpmYw+l0wuFwkFdfwoQJE9Df3w+r1Zr29VGqQyKMiBmdnZ3YsWOHuL148eKoRVhWVpb42uFwoKury+daJj+a9SPsaNqBP239k/jeffPug0YV/SOvlAjLzc312O7s7FRMhF1cczF+suon4vbKQysFEeZC198PYxxit6UizB3yFKix7Ovrw3//+19xLZiZM2f6zTzY39+PxsZG2O122O12VFVVxbTBUcILBghz2YqKisTR4ubm5rhlx7PZbGF5srRarcdC1O3t7STCZKjVamRnZ4vLZqQ70g41LZTryZYtW8R5dkVFRSgvL1es7CNHjoh1EGMM06dPV0x4KCHCysvLUVtb63Of0p4weT/CZrORCJNQWlqaaBOIEKHEHETMkIcJKBHG5GvRZn88e9Gz+PakbwMQRMmN026M+vp2u93D1R+NCJN32qRzjaKlpqAGo/MHw4Q+PPQhHLIEEllNTYpdzx/yif7BQhLdnTrOOSwWS8A5Kt3d3di6dSt27NiBPXv2xDwrU25uruj5ysnJQVFR8HXb/FFSUiK+tlqtYhr/WMI5xwcffICVK1fiq6++QmNjY9BzGGMegxzy9PbE0INEmH9OnjyJ48eP49ChQ2hpaVG0bOmgHefcY8H1aFFChBmNRr/LXcTSEwZQcg4idSERRsSMWIiw7Oxsj459IBGmU+vwzyv/CfP/M+ODb38AvSb6hkCJxsqNRqPx8Owp3RG/uOZi8fWW01tQV5blsd/omh8WS+TfebD4fXmnLlDjLRd4bm9NrKiqqsKFF16Is846C5MnT47KcyUVYYAQkhhruru7Ybfb0dfXh1OnToUsWqUdq66urrSY25cscM5hs9kS1omsr6/H/v37cfjwYXGeazCkXg273R7z312qwDn3uBdKz52UR0ko2V5I6wK1Wh1xxIovzx9jTPF7EW67QhDJCoUjEjEjFmvQMMZQUFAgdlr9xaBLUUJ8uVFShAFCw+oe0VTSEwYI88L+8PUfxO3PtSdwvWR/QRy8GpF6wtwE6gyEW7YSMMZQVlYWdTlZWVnIyMgQM+s1NTVh3LhxUZcbiFAXaZYjP66joyMqLyAh8Mknn6Crqwucc1RWVio6xydUTp06hVOnTgEAMjMzPVKN+0M+MGKxWEJeiD2difWaa9nZ2R6LIivZXshD7CMdYBo+fDh27drl8Z5er1c81LqoqAgXXXQRdDodNBqNogtjE+HDOceePXvQ29uLvr4+VFRUxGS9vHSERBgRM6SjUxqNRrGKuLCwUBRh8Z4Mr7QIy83NFUegzWYzzGazYvHzC0YugFFrRL9NmPu18sRqXD98OOC6nvrYMUWuE4hoRVggT5h8DkAqeWgYYygpKcHx48cBCIMJsZ5cLhVhKpUq5PmHchHW3t5OIsyF3W5HY2MjjEYjMjIyYDAYQq7nOOdihzpRnjDpbyZU0SD/TZrNZhJhiL0IU6vVyMrKEpOiKOkJy8vLg8PhQF9fX0TJhtxkZmaivLwcJpMJRUVFyMjIiImnVKPRRGVnOuNwOOBwOOKa3IoxhqNHj4rt91CZH6sEJMKImBFJAx8KvuaFhTKCqwRSEaZSqaIWTPLkHF1dXYqJMIPGgEXVi/DegfcAAB8f+Ri2MVOhdYcdyRJNxIJoRJharQ743CTCE6YkxcXFoghzOp1oaWmJ6YRqqQjLy8sLefTYvY6Z+7uheWGD9Pb2YuPGjeL2nDlzUFFREdK5Ui9vouZWRVJHy+snmhcmEGsRBgiRE24RpqQnbOLEieJr98BApMybNy9ac4goaG1txRdffAFAqGPOPvvskKMeosFkMol1QaznZ6cT5MMlYobUE6ZkTLi8Qgk0L0xppGsCGY3GqEeaYhnnDwBLRy8VX3dZurDhDMm8sEOHgCgb3GDk5uZi8eLFWLp0KZYtW+Y1F0qO1CMQbDJ3PESY1FuhNPGcF+bOJOomnEaZMeZxPImwQeRrhIXjkZeKsER5wuTRCqHgKxyRiM0caDnSQTuLxRKTJQKSbWmQZKaxsRGrVq3CunXrkmYQUFqXWK3WuGWNlEYFkQgLHRJhRMyIlSdMq9V6iJd4ijCl0tO7ycjI8GisYzEvTMrK0t7Bje5uIIQ5ddGg0WiQk5MDk8kEnU4XtIGXduiCTQ6PhwhraGjAm2++iRUrVmDlypWKfj8Gg8HjOW5ublasbDkdHR0eYjLckVFphsT+/n5aH8pFJAs1u0kGESb9zYQqGkiE+SZenjAp8ciqSvintrYW3d3daGhowJ49exJtDgDvuiQeizUDnv2h/v5+OJ3OuFw31SERRsSMWHnCAM+QxI6Ojrhl6FJahDHGPEY3lW5UK3IqMKl4kri9gh/wPCAOIYnhIO3QBfOEMcY8RvliIcLcz7DVakVfX5/iE8Cl3rDOzs6YiZtIk3L4O76joyNqm9IBd2IVN+GEEstFWKw8roGIZKBMngiBBLlAPESYr/D1oUpLSwvq6upw7NixuGSXlSNfJuDgwYNxt8EXySDCAO8BKsI3JMKImBFLEVZYWCi+djqdcekUWq1Wj8+khAgDPBvW7u5uxUeQpKnqDzgacEI6mJrCIgzw7OjEQoTFukGThyTGyhsmFWE6nS7sZ9dXcg7Cs6ORkZERlkiXPkuc84SEM0UiwhhjSbdWmLsNiKU3ORjxEGEGg8HjuRnKnrAtW7Zg48aN2LJlC47FIcmUHMaYV0bbZBAe0jZLpVIlJBwRoJDEUKHEHETMiFU4IuA7OYdUmMUCjUaDCy64AH19fejr61MsQ5w0xESlUqGvr89j/bBoWVqzFL9a/ytxe2UN8KMtro3DhxW7jhKEK8Li5QlzE4vBBL1ej8LCQhQXF8fsGZaKpvz8/LDnfej1ephMJrFhJREmIJ8jGg5yQW+1WmMyj8gfcuEXTh09YcIEcM6h1+sVravCpba2FockA0lZWVm48MILE2JLPOaEuSMn3GJTCU/Y7t270draCpPJhJycnJRJLS69v4kK5y0tLcX+/fvF7YaGBowaNSohtriR3ot4ecEA7/qPRFhokAgjYkYsPWEmkwnDhg1DTk4OCgoKvERZLFCpVMjNzfUKCYmWkpISzJkzB7m5ucjMzFR8YvTcirnINeSi09wJAHh/ghY/2uL6buLgCWtvb4fVaoXdbkdGRobf78qdWtdNuJ6wWISkShs0tVqteDiiRqPBpZdeGtPJ8BaLxaNBjDRTVn5+PgYGBpCXlxeXbFupgDQcMdxlMnyJMKW866Eg/72EI8KqqqqUNici5CKkp6cHNpstrmLWTTw8YYAwaOcWYe7IiWjqpba2NrS0tKClpQW5ubkpI8Kkv59ELdZcUFAArVYrXr+xsZFEmItk8AqmAiTCiJgxbtw4sfOt9Ag/Ywzz589XtMxEYTQaY7rOjkalwZJRS/D6ntcBAGsq7DBrAIMdcRFhGzduFCvkkSNH+hVhdrsdWVlZsFgssFqtSRGOKG3cY9WgxTobWbTzwdxMmzYNZ555Ji2M6oJzHpUnTP58x3s0P16iIZb4CoXs6OhAcXFx3G2J1/0cPnw4MjMzkZOTg5ycnKh/j0rPc44XUqGdKBGmUqlQUlIirvXZ1NQU8/Ueg5EoEaZWq5GRkSEOTJEnLDRSr9YlUgZ5vDSROC4afZEowgY0HGsqgQsPQwhH5ByIoRAIVSjp9XoxlCjUeXEjR45EcXFxzBbvlDZoiRhdVwKVSoXi4mK0t7fDbrdHLMJCEcVDCYvF4pFMQwlPWDxJBxHmKylIe3t7QkTYiBEjkJeXB5vNBofDEbPBlcLCQsUGNeUDCSTCwqe0tFQUYQ6HA62trUGXYokl8Rg49IfJZCIRFiapV+sSBBE25488HwwMHEKncWWNS4R1dwMtLUAMOy2ReKtCHd0dPXp0RDaFSiIbNKUoKSlBSUkJOOfo7e1NCzFls9lw7NgxaDQajBw5MiEjz9GkpweST4Sl2iAD59ynJyxR8xWzsrISOj8uEgYGBjwGElJJhCV6iYempiY0Nzd7DRg2NjYmVIQlyhMGCM9Pq2vZGxJhoUFxJQQRIs3Nzejq6kqaRRnDIUeTg1GGwVj1D2sAsemNcUiiVIQlcsQyEuLtCbNarairq4vJGiuMsZTrJPpj9+7d2LFjB7Zu3YrDCUouI09PH6kI02q1MJlMcQ/z1Ov1mDx5MsaPH4+ampqwnw23COru7k5Ineiv401JY0JH3lFOJREmrY+dTmfclqlx09zcjP3793ulpm9oaIirHXISLcLcmM3muH8nqQh5woiUx+l0oqurCz09PRgxYkRMrsE5x7p168RKZezYsZg8ebKi5ff09KCzsxOdnZ0YPny4oskPLBYLpmdNx2Gz0GE9mg8cLADGtkEQYTGcXydtLFNNwMbLE9be3o5t27aJSy2cd955cUk2Ew3uEfRYz2nzhVR47dy5E2PHjo27DXJPWLjhiGq1Gt/4xjcScv8Awd5I71tTUxO+/PJL8Rk499xzY56dVo6/1PgDAwMYGBgI+/sYiqSLCAOEujqeHnF/gwA9PT3o6+tLyL2UJ7eKtwirqKhAQUEBTCYTjEZjQufGpQokwoiU5vDhw9i5c6dY8QwbNiwmcxusVqtH5RbOoqyhYDabsWrVKnFbp9MpLsKmZU7Df1r+I7734Rhg7EbEPE19rJNnxJJ4ecJ0Op3HWndNTU1JKcL6+vpw7NgxtLe3o729HQsXLlQ8W2gwfHkJOedxFzPZ2dmoqqoSO/2R1AmJEmDRotPpPMLYErFWWKBrdnR0pL0Is1qt6OzsRFdXF0aMGBFRmLFchMUyQZTSyAWGzWZTvF0ORKAQyERlSbTb7cjMzITVaoXVao27CMvOzkZ2dnZcr5nqkAgjYkJDQwM2b94MjUYDrVaLOXPmxCQUSq/Xe4ijWE3KjnVjZTAYoNfrxY6F0otwWiwWVBmqkKPOQZdDSOu8sga4eyPiGo4YSISdOHECXV1d0Ov1yMjIiJlXM1Tk6yjFskHLzMz0WIerqakJZ5xxRsyuFyk2mw379u0Tt9vb2+MuwuRhgIAwiBHvTrd7rt1QRN7h95UgI9YEumZ7ezuGDRsWR2sEz6hKpYJGo4FarY6pwG5qasIXX3whbmdlZaG0tDTscqTtml6vT6nkLPJBsXjPC5MOAuTn54vLIzDGfNZR8UCv1+Oiiy4CILRf0oESIjlJnV8ckVJYrVZYLBaxoopVgyT3FrS2tsZFhCkdasAY81r/RUmsVitUTIVpmdOwpmsNAOCLkUCPDshKkjlh9fX1qK+vByB0KkIRYceOHcPevXtht9tht9uxbNkyxToSNpsNOp1ObNxjPSespKQER48eBSCs3aPEekdffPEFHA4H8vPzUVpaGrVoyM7OhlqtFgc+2tvbUV1dHVWZ4eJrwnd3d3faez6SCbkISwZPmEajEQdNEjEvbO3atejt7QUghGXNmTMnZteSexu6urqiFmGpFIoI+A5HjCdS0afX61FVVQW9Xo/i4uKkSHLDGEtZT/tQgkQYERPkFWKsRtjca2y552e0tbXF5DrxiJ3PzMwURVhfX5+iIVbuDsu0rEERZlMDq6uBK2Kcpl7aIHHO/S4uKm/UQsHhcHjMzbHb7Yo9azqdDsuWLRM9YrFu0KQijHOOlpaWqEbznU4nWlpa4HQ60draCrvdHrUIU6lUyMvLEzNgJaKz60uEJcITM5RRq9UeoicZRFhZWRlOnToFQHgu4x2iKvWax9qjZDAYPAaIIo2cIBEWOfL2Kt6DUUR6QCKMiAnxTH9cUFDgIcJi0fhKGyutVhuT0DTpOld2uz3kBYtDoaysDFqtFiW9JXi2/lk4uODJWFkDXLG/B2huBmIUWiXvkNhsNp+fS9qpCvX+ysuOxZwzxlhcRjblHtympqaoRFhXV5fH/Cml5hhKRZg7M148w5jkCTGuuOKKlAqjktLa2orW1lZYrVZwzjFlypS4XXv37t04fPiwGDK+ZMmSsM43GAyi5yfR4Yg6nQ4FBQWiCLPZbOjt7Y1rNtB4ijDGGHJzc8VBu66urrDLcDqdHmFzqSbCDAYDKioqoNVqodVqY7JOZCAiaa+GAlarFb29vejr64PD4UBlZWWiTUpqIq4pGGMlABYCqABg5Jw/rpRRROojHZVijMU0/bK88e3p6VF8cmg8Rgzl5fb19SkmwoqLi8VO/ll7z8LaE2sBCCKMA2CHDsVNhNnt9qAiLNTPHQ8RFi90Oh3y8vLEBB1NTU1RlSf3UiklwqTlcM7R2dkZ18x40t+iwWBIWQEGAKdPn8aBAwcACPXk5MmT4+a9sdls4l8kvxu9Xi+KsER7wvR6PfLz85GdnY38/Hzk5+fHtWMsnz8aj2dSHr7uL8LAH/LBjFQTYXq9PqYhn4Gw2+0eA1wkwgbZuXMnjh07BkC4LyTCAhN2TcEYMwD4PYAfyM5/XHJMLoCjALIBVHHOT0VnJpFqSEWYVquNacdCPi+sra0tbUSYkhkS3Vxcc7Eowk5nAztKgamHDwNnnaX4tYDQhBLnPKJwxHQSYYAQkugWYT09PVGl2paKMLVardhvQv5Mtre3x1WEcc6hUqngdDoT1nFsb2/Hxo0bkZGRAaPRiDPOOCOi+yvtvLk78vGaTyKtoyMRDdLfaCJE2OzZs2E2m2GxWMA5R0FBQdjePKVIxMLX0oQ4nHN0d3eHlSQnMzMTy5YtQ19fH/r7++OeYCeVkScBUWqwNFrq6+vR1tYGnU4nzlOLN9I62Wq1xj1SItUIyz3BGNMAWAngFgBWAJ8B8Kp9OeedAF5ylX9V1FYSKUc8RwVzc3M91qNwh0opBefcY9QwVml8fYmwWLC0ZqnH9oc1iGmGRJPJhGHDhmHEiBGorq72+TzYbDaPTE5DWYRJicYbJhVh+fn5ig2EmEwmD/EQ73lhs2fPxpVXXolLLrkEs2bNiuu13bg7rm1tbTh16lTEi5LKR9DjmeFN+luJRDRI04EnIhxRrVbDZDIhPz8/4cs5yOudeHnCpEQSkuj2vpeXlys6oLH66Gos/edSfP/d72NX0y7Fyk0W5L9T9+/YLYYPHjyIL774QpzjGy+amppw4MAB7Nq1Czt37ozrtd3Eqx+TLoQbI3YjhBDEAwAmcs4vAODvl+9ekOiSyEwjUhm5JyyWqFQqj9F5pZNzmM1mj9CDWI2+63Q6j3sVq8rrjKIzMDJnpLi9MsYiLD8/H/Pnz8fs2bMxY8YMn/dPPpIeqQiLtDPsi5aWFuzfvx9Hjx7FqVOn4pLut6CgwGNAIVIRZrPZPDJsKulRZYx5lJeI5ByMMWRkZMR1zo8UeShXpAMzySLCovWEWa1Wn+u3DRUSIcKys7M9BlaUXtYkEvpt/bhj5R244O8X4KPDH+HVHa9iyotT8J23v4PD7bFdjzKeyNsr6e/4s88+w44dO9DU1ITTp0/H1a54rWsZCHldSCIsMOGKsO9BmEJyB+f8RJBjdwBwAJgQiWGxgjFWyhj7A2PsCGPMzBhrYoy9zxg7P9G2pRPRhrqEi3QktKenR9HwmHhkRvRVtnu+RbTI1wthjHl4w74aDrSd2K/ItSJFKRGmpCessbERu3btwtatW/H1118rVm4g1Gq1R2hfXV1dROJPuvAzoKwIk5fX19eXkHA0zjk6Ojpw4sQJ7Nq1Cw0NDXG7tjShgUqlinhOSLqIMCD+6zQlE4kQYWq12mMQIhJPmJJsrt+M6X+ajuc3P+/xPgfHv3b9C+OeH4db378Vdd11CbJQOfyFIzLGPJYKaG5uVnRgMBy7EjVPjTxh4RGuCJsAQVitCXYg59wBoBOA8pNaIoQxNhnAbgD/A6AaQihlIQRv3SeMsQcSaF5aEW2oS7jIw1GUHJ1PlAhTqvIym81466238P777+Pjjz/G6dOnPUSYUwWsch4U0tQniEAji4GIpQiL57xGKdKQxOrq6og8DLFKyuGvvER4wwDg888/x6ZNm7B///64ijB5eHKkz0YihUy0IkwajggkZl5YICwWi5fHMlbI06PHywshDUlMlCfM7rTj8bWPY+7Lc3Gg7YDf4xzcgZe2vYTRz47GPavuQUtfS9TX3rlzJ1avXo2VK1fiyy+/jLq8UMnPz8fMmTMxadIkjB071mPerlSEORwOtLRE/zlDJRlEmMFg8EgQQyIsMOGKMAMAs0tghYIJQFIs4MIYywDwHoACANshhFPmAMgD8DQABuBJxtjixFmZPsQzHBHwnZxDKYxGI0aOHInCwkJkZGTEVIRJ0+z29/crEgLnnrhuNpvFtOXnVZ0HvSSvzsoRFiDKbHzR2iglVE+YNHQPUFaEJSq0Y/jw4eJ6XFOmTPH6jKEgFUUGg0HxhYzz8vL8Xi9eMMY8kmEovcB5IKSesGjmiKa6J0yn0yErKyuuiVkAYWDp5MmTaG5uRldXl4e3YfPmzfjwww/x3nvvYc+ePXGxJxRPWI+lB1/VfYXltcvxzr53FBEh0mQaFoslrLl5R48exenTp9HV1RVxvXmw7SDO+utZ+Pman4vLngBAsakY733rPXx63aeYXT7b4xyLw4LfffU7VD9bjZ9//nN0WyL/3fb19aGjowN9fX1x7eybTCZUVVVh3LhxmDx5ssfvWL5odmNjY9zsSgYRxhhTZDB5wDaAL058gc+PfY5eqzJRQclIuDVvA4CRjLFCznnA7AeMsTMhiLZkCQS+FcBIAL0ALuWc1wMA57wbwL2MsVEALgfwJICPE2VkuhDvdL16vR4lJSUwGAwoKCiIelFaKUVFRSgqKlKsvGDXstvtMJlMMJlMiqx55svLZNQacW7WZPy3ZxsA4L+jAcehA1DLGpB4EUq2KSd3orG3Ec19zRiVNwpZ+qy4ecLi2aCZTCbMnj0bubm5ES/tEKukHG4MBoO4SHpGRkZMl6CQUldXh87OTvH3kZ2dLYZexjMcS+phiUbgprIIKy4uxrJly5Q0KWQ6Ozs9QoTPPfdcUQj29vaK30+8Bgek99LO7TjQeQDH6o9hd/Nu7Grehd3Nu3G887jXeROLJ+KckedgYeVCLBi5AMWmYq9jAiFPztHZ2eklAvzZu3XrVnH7jDPOwIQJoc8c4ZzjxS0v4t5P7kW/zdPbuGzsMvz50j+jyCS0mRtv3Ij3D76P//fZ/8Pu5t3icb3WXjz+xeN4fvPzePCsB/HjWT9Ghja835JWq4WTO9Fub8e+tn04vuU4svXZmFo6FWMKxkCjin9WPoPB4LHUSENDA6ZOnRqXa8dKhLUPtGNvy15UZFdgZO7IoMebTCb09PQACF+EOZwOLK9djp+v+Tnqe+oBACqmwuSSyZg3fB7mVszFvIp5qMqtiuti7LEi3Cd0DYDvQ0hP/xt/BzHGVAD+F8L8sU8iNU5hvuP6/19uASbjKQgibDpjbBznPLGTZFKceHvCAGDBggVxuU4sKSsrQ1lZmaJl+hM4F4++CP/dLoiwNiOwac/HmHv2OYpe28369evFdLUjR47EmDFjPPa7haLVaUWLvQUfHfkIRzuOCn+dR3Gk/QiOdR6D2S6M9Lor5fkV86Ht0WKMYQwKtYWKiTCrw4o97Xuwo2MHjpqPoquxC2+a38TkksmYXDIZk4onIceQE7ygCBk+fLjP9znn2LVrF6qrq/0uTjowMODhqYnFMgcAMHfuXGRkZCjuZQtEfX09Tp48CUAQP6NHjxb3Wa1WWCyWmKeLdjqdHh6HaDxharUaarVa9OTEU4RFM2+Xcw670w670w6b0zb42iGUWWwqhlYdu3o/kOc8Pz/fYzFxm80WkzbIyZ043nkcu5t3Y+3+tfiq7iucspzCactpOPaFFiy0u3k3djfvxv9t/j8AQtKkhSMXYmHlQpxTeU5QUZabm4vi4mLk5uYiJycn5DTz0awR1tDTgBvfuxEfHf7I4/1MXSb+cOEfcMPUGzw6x4wxXDb2MlxcczFe3/M6Hvn8ERzpOCLubx9ox32f3Ifff/V7PLzgYfxg2g+gU3sLiF5rLw62HcSB1gPY37ofB9oOoLauFse7j8PCXc+DZMjfoDFgcslkTC2Zimll0zC1dComFU+CSRf7ZS1KS0tFEdbb24ve3t6YLybNOVdk4JBzjsPth7H+1HqsP7ke60+tx77WfeL+S8dcigfPehBzK+b6LUPuCQtlMJlzjg8PfYifrv4p9rbs9djn5E7UNtaitrEWL2x5AYBQx8yrmIe5wwVRNqNsRtgiPhlg4YQ7McYmQEi40Q/gu5zz9xhjDQCKOedq1zHjIawjthjCnKuxnPOTilseBoyxLAhZHBmAqzjnb/s4RgWgHUAOgB9zzl8IVObMmTP5li1bYmFuWuBe88Zms0GtVifNOhpDkcOHD2P79u3i9qWXXgqDwYCjTfsw6sUzxPdrzEYsy5uL87VjcZZ2FDKZct/Zjh07xI5mVlEeOktVOOBowlFnG446WnHIJrxuRE/E1yixmzAbI3BBzkTM11ZjknoYNCx4KJ+F27Db0YCt9pPYaj+FbfZT2Gk/DSsCC7pKVQEma4Zhsrpc/H+0ughqFp5XiHOObm5Go7MbDc4uNPJuNDi70eUcwEh1Ps5Ql2G8ugTZqgw0NTejvq4OKrUaI0eM8AoLBIQO1rFjx8SO6ujRoxVfNy9aOOc44GjCWtth7HKchoXb4YATdjhhhwN2Lrx2wOl67YAdTnT398LmsMPBOLiaoVJbgDktxVg4MAJGrkVNTU3MMyZaLBaPMLcRI0ZEFY63a/du2Fziq6CgACNHBh9pDoVTjg7U2uvQBwv6uQ393Cr+9XIrTrbUw8wcMDM7eIYaTr3KtV841gK7+F3YXPffxh3i9xIIFRhKVdmoUOW5/nJRoc7z2C5VZUMV5m/FTVNTE+rrhbFUJzgmTZoEvVbodHZ0dIiLxQJQ9JlwcCdW2fbhT+Z1+Mx2EL08tvPgxqtLsVBbg4XaGpyjHY0SlTK/466uLhw5MiiEQr1Hb1q249be19DOPUXcWZpReDXre6hSB/8d2LgDf7NsxGP9H+G009t7Xa0qxH0Z58MGBw44mrHf0YQDjibUOTuDf7AgqMAwRl2MqerhmKYZjqka4f8ilbJ1Rm9fHw4eGJwfV1FREVU0DeccfbCiw9mPdt6HTj4AI3QoUWWhWJUFA9PCbrd7pKUvHz4cJcXBPatWbsc2+ymstx3FevtRrLcdRTMP3g4v0IzGA8YLcKH2DC+B1djY6JEZcvLkyQEHer62Hcf9fe/iC3vkgXNaqDFNMxzzNNWYq636/+3dZ5Qk130e/Od2zjM9YWdmZ3PCJmAjdpEIYIFFDgQBmkqWBIuSKL+iomVZlm2Jki1TliVS0RZlSxYpkVQkKZIAKZCIIgEiLLAIu1hgc5ycO6f7fqju2uqa7pkOVd3V3c/vnDk91WlqZqqr6ql77//iJsd6rLKHgX/7b4EG9dRYihDiiJRy/6L7qx1zIoT4OIA/hNLKdQ7AMAAngC8D2A7gGs3Tf0xK+dka19kw+a6Rhb4LW6WUJUePCiFeBnAAwJ9IKT++1HsyhFGrOHbsGI4fv3pl6bHHHlO7j237BSdOdC8OG44scMMl4I6zwJ1nle9dNRR5StqBtweA11YCR4aU23dWAJnqhzlVLZBU1vvmi8DNF5TvnTngrQFlXV4fAo7k1ydt0Pp408COcWDXGHBd/iuUBEYDwEggfxss/n40AMQruFC/ag7YPrH4K2yJUbdLkwBO9AHPrVO+nl8HjBl4YdiXAh45AfzQ28Bdp5X/s1FiTuDZdcDXtwDf3gBEXEBPXPnqLdzGll72pZf9MXXL2JRKp09sBp7YonzurMyRBYYXgNVzwOp55daTUf7eMafymYiV+Io7ipcTTsCeA265APzA28CHjyt/dyON+YG/2AP82T7g3OLrHmUJCWycBnaOA9eOK7fbJ4BLoaufhddWAtkKzxGvmQQOXgL2jgD7RoDdo0CgAY2nc27gZ+4H/mpX8f3OLPBfnwF+6UXAXuXw5bgD+F/XA5/8gNITo5lWziv/m+4E4E8D/pTymS18X+628BybVD5/WaH8LwvfZ2xLLyccwIwXmPFcvZ32Ft83nf9+qWNmKAEMRIGByPK3KTvw4mrgu2uA764GXhlWPkO12jUK/Mp3lM+do8r97vu9wK/eCfzj9sWPedPAL76kvP9Lq5V1fn2oumP1qjngSz//Iq5fU77VrlEMC2H5N/sggD8AsKbMUy5AKWP/tarf3AT59f1KfjEkZemYL4T4MpQuiV+SUi6aZFoI8ZNQJqrGmjVr9p0/v1yVfqLme/3119Wrnk6nE4888oj62J989Fp8fM07ZV55lS+lnOTceVYJZntGFh90U3bg7RVKsCmErrcH6gs4njSwYebq18YZ5aT2yJByEHljsPJAZ8vlD5ZVro87o5xInesGYs0Z67ykwQXlxG6HJphtnAZWRI0NI9WQAI73Xw1cz68Fxs3tjaPqjwIfOQb80FtK8K5l1MDFkBJkvr4FeHp9fScpgLId98WUE729I1e/1s3Wtn4FU15lPOcTW5TbmdbrjWM4Rxa4+zTw/e8owTxYY0iRULbfP90PfGnb8vuNoYV82Bq7Grq2TSgn6UtZcCknmIVQ9upw5aFMSCWY7ctvT/uuAHtGlQs/RnluHfCjjwAXuovv3zkG/NWXlSBYj3k38OkbgN+7CVioovPF8Lzyu2+dBK6ZUr7fPA1M+pTjwtH815uDlV3kosU8aeD6K8qxf8c48Dc7ga9fU/q5G6aBf/8i8PhR5WLKUsb8wG/cDvyfvYs/V7Yc8NE3gE88B6zUnaknHMqxvxDKXly9/MW80Z+7hIHu4aWf1ACGhrD8G9qgTNx8E4AhKJUWxwC8BOBpKaVxI+TrJIT4QQCfzy86y62bEOLzAH4QwFNSynuWek+2hFlbIpHAzMxM3eOrJiYm8Nprr8Hv98Pn82Hbtm2mVkfUymQySCQSdfclf+mll3DpkjI3SyAQwH333Xf1wVdfxfM//QD+qWcCT68H3qqwLkc4Dtx+TrkqezashK63VwCpGsZBD0TyAWu6OGxtmAEGI0pwKifqVE5avrsa+M4aZec85yn//OV408qVt335E5p9I8qJlDOnXLk8E1Za0gpfbw4qv79VheNKGBuI5G+jym2p+4LJ2gNBTlwNXc+tA15YC0xU+DHxpZQr0HapXEktfNlzxcuOXPFzskIJ4kudYG2YBn7wbaWFbOsSpaSyQrki/PV88Kr0c1Cv7nhxKNs7opxIltvmJZRtrtDa9fKwMsVEtbxp5Sq+9qtwZd+XBrwZ5USq8Ld2ZvO3ueXvy9iAyyElyF7sunqbbHyNBHjSwAMnlRay+08qv9dypr3AZ3cBn9kPvFemd509Bzz0nnJR6tox5QJIn0HV8CMuZX/2/Lp8KFtZ/YWjzVPK/qvQYrZnBOhKKvvLeffirzlP6funvMDTGwCp2TEIqbRQ/Ldnlj/ZrsakD/gfNwN/fODqRQ9vGtgylQ9amrC1ZarycJ0VwMneq8HsjSHl+8nGHMZbSn9U6TVyywWlB8nekcU9YN4aAH7nZiWQlbpYMBABfuEl4KdeU7Y5rYgL+N2blK9oiQuaHzwBfPLbwLYly/5dJaFcHH1x9dVg9tbA1fXaMA2c/r000IDicMsxPIS1EiHEDwH46/wiQ1gbu3z5Mt566y11ouMHH3ywrsIBZ8+ehfb/fO+995o+5uTdd9/FqVOnkEgk4Ha78fDDD9f1fs8//zzGx8cBKGNO7rjjjuIn5HJAvqT/eGwCz115EU9fegHPXP4OTs2d1b9dzdzChQ3ONdgRvAYP774Pu3p3YGPXOvidxh0NczKHY9Mn8N2RV/DdUeXr7HzpIak+hw97+nZiX/8u7O2/Fvv6d2FreDMcNgfi8Tie+tbVmkLXXXst1q9fX/J95lMLeGfqXbw1dbzoayFduqxuyBXEkG8Ag74VV2/9KzDoXYEh/9X7A04/Ts+fw/Hp93F85r387ft4b/YU0jnj+7d57B70esKwCRtyMnf1C7J4WeYgIZGTEjmZRU7mkM1llx0nVNDlCuEDQzfg9uGbcPvKm7G7byfstuXPMsfGxvA9TUW8m268Ed5uLz79zP/GVy59A0eTx5FbYh329l+Hf73lw/j+TR/CkH8Ac8l5/PPFZ/HE+W/hyfNPYzKx9LQWNmHDjQP7sUL2YmRuFAu5KCIyipQzg6nEDFI5Y/qFBZx+7O7bib1912Fv/7XY3bcT5xYu4onz38aT57+Ny9Hl50PbHr4GD6w9jHvWHMKwfwg+h1f98jg8NY/F0nvttddwOT/2w+/z4fDhwyWfJ6XERHwSFyNXcDFyueTt5egIsjILr2ZdfQ4vvA6PZtkHr8OD+ck5iDTgEi70BLohu2340pknMJcqX+486AzgkfX34Qc2P4rDq24tKhwipcTLY0fwp8c+i7899U9IZEv38V3lX4mf2P6v8dFtP4ThgLEFlMqJpCN4ceRVPHflRXxv7Ahen3hryd+zHAEBifrO91YHhvHZO/8Ih4Zvqet9ljKbnMOJmZNY6R/EqsDKJbfVqakpfOe731WXbzh4sKLKyFJKXImO4ujkOzg6+Q7emHwbZ+bPI5qJIZaOI5qJIZqOGfaZroSAQJc7hLC7C2F3t3rb4+4uWg67u9HtDiGajmE8Pomx+ATGYhM4N3UBZ6fOYzY3j9nsPGJy+T65W7s34+ahA7hl6CBuHjyATV2VVxw8O38ev3v0f+Ev3v1iyc9LyBXET+/8MfzcdT+BHncY/+fdv8JvvPq7GI8vTlg3DuzH/7zp13Hz0MFFj1Urko7g1fGjeGn0NXjsbvzi4f8CWKCKYqeHMEO6I2oxhJUXjUYxNjYGp9MJp9OJ3t7ehlVIHBsbwwsvvKAu33jjjWUrzVVCP57q0UcfrWnepmocP368aOD/hz70obrK/D/11FNq+e6VK1fi5ptvrvi1F+Yu4Jmzz+Dps0/j6TNPYyRS2YS4XocXe4b2YN/QPuxfuR9iVMA154JN2NDV1YW77746HZ+UEslkEi6Xy5RS5yMLI/juxe/i5UsvIydz2D24G/tW7sM1vdeUPfmfn5/HP//zP6vLBw8exJo15XpfL5aTOZyfPY+3x99GOpvGYGAQQ8EhDAYG4XPWNwAinU3jzMwZvHH5DXzr6Lfw/vT7uJS6hMvJy0jLBgw+qlKXuwu3rr0Vt69Tqr7tGthVUejSO3PmTFFZ7fvvvx9+vx/vvvsu3nnnHcxmZvHi3Is4ZjuGV0deLfs+NmHDzhU7cXziODK5pS/ld3u6ce+me/Hg5gdx76Z70etT5iPMZDKIxWJIpVLo6+uDlBKxdAzT8WlMxaeU25hyW7jv4vxFvDHyBk5On6z6d1+Ox+HBHevvwAObH8D9m+/Huu51hv+MUt544w2cOqUMpnc4HPjQhz5U83vlZA4CoqKTwCeeeEKt8LdmzRocPHgQyUwS/3z6n/HFd76IfzrxT4hnyp+E9np78eHtH8ZHdnwE70+9jz997U/x5tibJZ8rIHDvpnvxU/t/Cvdvvr8pZc+1cjKHMzNn8PrI6zhy5QheH3kdL198GQuZ2osaVeKHr/th/NF9f2RqVdhqzc3N4amnrs4odMMNN2D16tWGvX8ml0E0FUU0HVVvZ6OzePqFp5HIJZCUSfQP92NgxQDswg6HzQG7LX8r7Dj2zjHEo3F43V6sHFyJjes3Fj3usrvQ7elGj7cHIXeopv1iQTQaxfj4ONLpNFKpFNZsWIPZ9CzGImMYi45hPDqOscgYUtkU9gztwU2rb0Kfr/75/cYiY/jDl/8Qf/Lqn2AuubjQitvuxmBgEOfnFg/fuab3Gnzyzk/ika2PtEW5+aWUC2HNb6NrjCua71cCKDet+8r8bWVnmlTS9PR00cnS3XffvWg+E7Poy3FPTU3VFcK0c1x4PB7TAxiwuFxwNBqt6++nLedcbdnaNV1r8Pjux/H47seVinZT7+HpM0/jmXPP4Nmzz2ImMQOPw6MEm3zg2r9yP7b2bS06WXk58TIu5FuktGV0AaWk+hNPPAFAGbO2d+/eqgLPzMwM5ufnkc1mIYRY1GI1FBzCh7d/GB/e/uGK31NfKrzav5tN2LA+vB7rw6Vbz+rhtDtxTd81uKbvGnzk2o/g3XffxfHjx5GTOYynx3EpeQkxRwz+fj/mc/MYj44rB+D8gXg2MWv4Oml1e7qV0JUvtX3dwHV1nVwUaD+LQgi1hbtQ+bHb0Y37e+/H79z+O5i1zeILb38Bn3/784tCT07m8NbYWyhnW982PLjlQTy45UHctPqmkifdDoejqOKkEAJ+lx9+lx+ru5Y+CZxPzuPo6FG8PvK6+vXu5LvIyeoG8K3pWoMHNj+ABzY/gEPrD9Ud7muhrXqbyWSQzWZr3kdW2jpXmHi+wONR+h+7HW48fM3DePiahzG9MI3f/NvfxHfnvos3Im8gi+I+VVPxKXzmyGfwmSOfKftz+n39+Oiej+In9v0ENoQ3LLlOJ06cQDweV7cLoypclmITNmzq2YRNPZvwkR0fAQB885vfxOmp0ziTOIMx2xgmnZM4MnIEk7EK+3VpeB1ehNwh9WsoOIQf3/Pj+ODW5swJtxSz59lz2Bzo8nQVBc+FhQVMBK5OtH1g+4Gy/+9DA4fgdDoRCoVMDxmFCaS1QghhTVflx9JaDAQG8Ft3/hZ++eZfxmeOfAaf/t6nMRq5OlAwmU0uCmCDgUF84rZP4KN7P9r0ixrNVtVvL4Q4U8PPkFLKjTW8zkgnoHQfFQB2oEQIy49xKww5PK5/vN0U5pQozKtj5MR++rmaGtUKVvhZXV1dastPYb6YWmlP/Bo1FszIEFZoZSqoZ6oAIQS29m3F1r6t+OkDP41sLovx6Dj6fH3Lzgmk3Qb024f2wJlOp6tuDTtz5gzOnFF2TW63u2y3wWr4fD5cd9116lXFRv3vq2Wz2bBjxw709/fj5ZdfxqAYxKBLGdDU4+rBnXfeueg1yUwSE7EJjEXGisLZWGQM04lpCAjYhK3kl/4xAYFTp05B5iS6Hd04vPkwvv/Q9xsSuvS0n0XtBNH68vvz8/PYvHEzfv32X8ev3fZreO3Ka/j825/H37zzNxiLji16X5fdhdvX3Y4HNz+IB7Y8sOwJd71C7hBuXXsrbl17dV7DWDqGt8beKgpm74y/U9Tt1C7suHnNzWrw2t6/uDR0oxUCUEEymaxr3rRKZDIZ5HJXA2upfVpPsAd3r7wbN3fdjEg2gvfEeziSOoJnzj6zbNi9fd3t+Kl9P4UPbftQyfmqSrl06ZI6L9Tg4KCpIayU7u5urFhYgRWuFWoXdiklLs1fwpGRI3hz9E1kchmE3CE4cg6ce+8cfDYffHYfDuw6gGvWXYOQO4SgK2jq/G5G059b6C/wmUE/R91S5071TF3Raro8Xfjlm38ZP3vwZ/HZo5/F77z4OzgzUxwZAq4AfvmmX8Yv3viLDZmvrRVUG0HX1fAzmt7fUUq5IIR4DcD1AO4CsGieMAAHocwRBgBPN2rdmiEWi+HJJ59EoSvq/v37DTlxLdDvCOvpSleLvr4+NYTNzMzUdXW2GSFMX4ijML6tFtlsFg6HQ/2fGDlfm91mx1CwsnER2m1AH8KWmni13veulc/nwzXXlCkDZUErVqzAXXfdhVdeeQVjY0rQ2LChdJhwO9xYFVqFVaHaW4i1nnE8g6n8mMIe9JgSwIDyn8VAIIANGzYgGAwiFAoVzZ0mhMD1w9fj+uHr8bt3/y6eOfsMvvD2F3By+qTa4nV4w2EEXA0q3ViGz+nDweGD2NO/Bx/b+zHY7XYkM0kcmziGt8feRtAdxKF1hxD2GlMFZnZ2FpOTk3A4HHA6nRgcHKxpH6n/rDYihFW6v+jp6UE0GkXAHsCNrhvxyY98EmPRMfzD8X/AF9/5Il68+KL63G5PN35014/iY/s+hm3926pep3omvjZCd3c3Ll68CED5+yQSCXg8HqzuWo3VXavxyNZH1OdevnwZL45e/d33r96P3u7eRq+yIex2O4QQ6rlMI0KYvrWNc6AW8zg8+Nj+j+Gjez+Kfzz+j/jU9z6FU9On8AM7fwC/dtuvLTsBeaepdm9xaJnHu6AEnR+HMnfYzwK4XMN6meELUNbth4QQvyml1Hc5/KX87ZFy84i1C5fLBe1YQG3XDiPod4SNbAkDlOIThZLsUkrMzMzUdEUqm80iHr86rqBRIcztdsNut6uTG2tPPqvlcDjwyCOPIJfLIZVKmTLmqtL1KMjlcsjlcuq6GBnCstkspJRNbyFoBo/Hgw984AOYnp6GzWZDd3d3Q35uKBRSQ9jCwoJpf/9yIUwIgX379i37eofNgbs33o27N9697HMbaWpqCv/yL/+i7jdvvfVWDAwMwO1wY+/QXuwd2mv4zxwbGyua2PWRRx4xJIQZfSwpRb+/0LfGFfT09GBkZAQ9PT3o6elBLpfDYGAQHz/wcXz8wMdxfvY8nj33LIKuIO7bfF9d3Tm1F38afbwDsKinxOzsLAYHS5f41B9PrNrKXwkhBO666y51/HkjAnA1LWGdbGFuASsmVuC/DP4XxLviuOPgHej1t2bYN1NVW6yU8vkKnvZVIcTvA/g2gP8GYPmjY2N8BsDPA1gL4OtCiB+WUh4XQgQB/BcAj+af96tNWr+GcTgcRSf5+p1KvbQHpMKVqkbq7S3+oE9NTdUUwrQBDGjcwUoIAb/fj/l5pQJWPSGswGazlT1ZaQT9wTGTyagHr3oPavr3LrT+dSIhxKLt32zaaqGFLs5Gb2uZTKZoOzG7taWchYUFjIyMwOfzwefzoaurq+5xotqWasD4cS2l6FuMa/28lOqOaDaXy4VNmzYhmUwu2fK2ceNGbN68uezxZ233Wjy++3FD1kn792xWS5jW3Nxc2RDW29uL7du3IxqNIh6Pt3xLTqPGmxfUM15YSolcLmfK2PJ0Og273d60C616Qoii4SDRaLThx6ZWYMreQko5JYT4twBeBPBrAH7BjJ9TDSllPF8l8WkAewEcE0LMAwhAmeNMAvhVKeVTS7xN23C73Wp1KaMPnNoTimZcFfT7/XC73ervVbhKX61mXjE0OoQ1m347MDKE6Q9omUymY0NYM5Qak2V0CBNC4JZbbkE0GkUsFsOKFc3p0jI1NYU337xaRe+ee+5Z9PtXy+ziAqUYdaGsVHdEswWDQezZs2fZ5zWiiBKgnFg3O4R5PB64XC5125mdnS373N7eXp4M10H7+RRCVHSOMzo6iitXrmB0dBRDQ0MVbb/VeuaZZzA/Pw+Hw4E1a9ZU1DvATKXGttNipu0tpJTfE0JEoZR8b3oIAwAp5ZtCiJ0A/iOABwEMA5gC8AqAT0sp23osmFajQlgzDkiF1oAr+flrJicna+oipd9pNPLqu3YHFo1GW76L3dDQEO644w51DIr2JF17UKulTH2pVrZ6tfrfu5H08+YtLCwYHpLsdnvdE68bQd86bsQ+odkhrJ59tMPhgM1mUwtlNKI7otUUepQUNOuY19XVhYkJpWpfYUw0GU9fbbiS48SxY8cwPT0NABgZGcHu3bsNP74U9hv6wjXNUugiWjgfZAgrzbS9hRDCnn//5h85NaSUowB+Lv/VkS5cuKBWcgKMP3A2u388oBTnKISwZDKpDNAOVDf43iohLJvNmtLFq5E8Hk/Z9a+3eqMZIeyll17C2NgYXC4XwuEwbrrpprrfs135/f6iE/FCC24zpNNpzM/Pw+VymTKpeuHCFQDDxqDY7fai7uGtFMKEEHC73Wo4bURLmNU0ewx0QXd3txrCClN2NKo1sJPoLxpWYnBwUA1h0WgUkUjE8P1TLetlNr/fr7bKMoSVZuYlm/sBuGGdwhyUpw1ggPEH/WZ3RwRKjwurJ4T5fL6G9rXWN+VHIpGaQtjo6Cjm5ubgdrvh8XjKjhNopnrmMQPMCWGpVAqZTAaZTEadj4pKE0IgGAyqV98XFsydNLYUKSW+8Y1vqJ/ZzZs3Y/fu3Yb/HG0IM/KijMvlUoNMK4UwAC0Twswaj2PU+Lp6aceFSSmxsLDQsOI8zRSJRBCJRJBOp5HL5UyfHsDhcMDtdiOVSlV8vBoaGsLx41dnPhodHTU0hGWz2aLWL4aw1mHo3kII4QKwCsAHAfxnKOOsvm7kz6D66a/cJRIJQ7tfNbt/PACEw+Gi0rVTU1NV75y1LYSNriClD4zRaLSm4iIXL17EuXPnACitUQ899JARq2coK7aEaT8jVjmgWZk2hDWjJUwIUXRybdY6aLsjtnIIM/JCmfbikNW6I6bTaRw/fhzT09OYmZnB7t27y07dUCurhLBSFRL1ISyXy0EI0VZdrU+fPo33338fgNKqbHYIO3DgAAAl6Oq7opYTDoeLxuyNjIxg8+bNhq1TPcVCzKQ9b4rFYkVVkUlR7WTNlW1x+acDOAOlMAdZiD6EFSZuNuqDa4WWMLvdjv7+fkgp0dfXV1ML0G233YZUKtWUKziFnZfH44Hf76/5wG7URM1msmII0x7UmrUNtxJtcYp4PG54cZRCsQ+n01n2BDIUCqnhy6wQpm0JM7KFVLvvbbWWsE2bNmH16tVwu90NaTV+/vnn1e7Zg4OD2LJlS9nn2u12nD59Wj1Znp6ebtsQFgqFii48lhoXdvnyZbzyyivw+Xzw+/3Yv39/0yqNGkX72clmsw3rhimEqPh/LYTA4OAgLly4AACYmJgwdB9p1RCmPS4UpgtiUZhi1W4BlV4+OQfg7wD8tpRytsqfQSYrNaFhMpk0JYQ1s0rdrbfeWtcVv8J4h2aEF4fDgUcffbTug4lV+olLKTE3N6d28QsEAggEApBSFq2jVUIYW8KqMzw8jEAggGAwiGAwaPjn/rnnnkMymYTD4cDmzZuxc+fORc/p6urCpUuXAChBMJ1OGxqgM5lM0XZhdEtYQauFsEYXTJmbm0MymcTc3Nyy/wObzYZwOKyWyi6MyzGSVcaE2e12BINBZLNZdHd3l+yKGI1Gkcvl1C587VBFVv/3LpRqt5qhoSE1hOVyOUxMTBj22bFqCNP33pmYmGAI06n2E7h+mcczAGallOz8aWGlTlKTyaRhfZQ3bdqkjqlp5geuVACTUuKZZ55BOBzG4OAg+vv7LdvSYcSBxCotYdlsFt/61rfU5WuvvRZbt25FNptFMBhEKpVCMpk0JIRV2kWknELLcIFVtw8rKXfSZwTtHGGZTKZsd5ZSpfKN3P9oW8EAtoQ1g5Sy6n1aT0+PGsIKF4KM/J2t0hIGAHfdddeS3b20vTqcTqdlTtbrUSqEWbGI1cDAQNHyyMhI24ewQCAAj8ejdlOemJjA1q1bm7xW1lLtZM3nzVoRapxyLWFGKXWV2ipmZmYwPT2N6elpnD59GkII9PX1YWBgAIODg+ju7m6r/vJWCWGl5vIClBOWe+65B4ByglXoSlMNp9OJ9evXw263w+Fw1B0G9J8PqxzQOlWl8/U1OoSZ1RKWTCZNnyKhVUOY/mSzkpPtnp6eouWZmRn09/cbtk69vb04ePCg2lLazACw3Hgb7Wep0eOczVIqhFmR2+1GT0+P2ho7Ojpq2OfcqiFMCIH+/n5cvHgRgDJdEMeFFWudvS8ZRr+T6uvrs2TzvRlGR0eLlqWUmJiYwMTEBN555x243W41kA0MDFjyilqlcrlc0f+6mSGs0H++cPJX6kBZ64Bxu92O/fv3172OBVbpXkSKSkNYIBAoGhNj9LgwM+YIK9CeNBUG/JsVjqwwuXCt9BcLK20J05qenjY0hPn9/pYJNPqKv+2gkfPsRaNRnDp1Ci6XC263G0NDQ1W1iA8NDZlSqt6qIQxAUQjLZDKYnZ1d9JnsZK2z9yXDaE8yN23aZMrs7Vbl8/mKrkbpJZNJXLhwQe27vXfvXqxYscKUOYfMpt8xN7swh9PpVE/+jBi3ZRYrH9A6UaUtUDabDcFg0LTiHGZ3RxRCwOVyweVyGd5lTm/btm1qy40RJ0S5XA7JZBLJZBJer9e0fY2++mIlP8fn8xVVptNP0dIppJRF23CrBMflNLIlLBKJqJUYAeD222+vaj8wODiIY8eOqcsjIyOGh7BqCoY0QuGCh8fjQX9/P1vBdMr+p4QQf2HQz5BSyo8a9F5UJ/1V0E67yr9u3TqsW7cOqVQKY2NjGBsbw+jo6KKr3AWvv/46AoEA7rvvvgavqRIIz507p14x2759e1Vl6vVXjZsdJrQHBiuHMLaE1aZwkjc/P4+FhQVs2rTJkAOu9uq9EGLJkx4zKyRq9xFut9vQ3gPr16/H+vXrG9IVWgiBHTt2GPZ+sVgMTzzxhLq8b98+wysQFuj3aZX0VBBCoKenR+0FYUZxDqvSdndLJBJFc0kxhFWv3mNqOByG2+1W32d0dHTJ6p6V0lfztdKQimAwiHvvvVftqUDFlorLj0OZ56vev5oEwBBmEfqT3049wXS5XFi9ejVWr16tTmw5OjqKsbExTExMFBV3MLLrSjUymQzeeustdXl4eLiuENbslrBWCWFsCavN2bNnceTIEXV5aGjIkKu8+nEsSx3ItePCYrGYoRUSV69eDZ/Ph3g8bvjV3FY+OdHvV8ycK6zWfZo2hEWj0ZqLALWCS5cu4cqVK5idnYXNZsPhw4cBVN6tt9U0sjtivccGban6WqfOKcVut8Pj8VQ1gXSjCCFasidRoywVwn6jYWtBDWP2Vf7R0VG8/vrrcDgccDqd2L9/v+U/gEIIhEIhhEIhbNmyBdlsFpOTkxgfH4fdbjd0UsVqeL3eojEu1c5XZrXuiNoQVtgOL1y4gOnpabjdbng8Hqxfv1wBVvOxJaw2+s/5/Py84SFsuXEs+uIcCwsLho0/GBgYWFThjKAWxClcWDGyyJOePuBVesJZalyYUZXp0um0Olm4FcL05OQkzp9XaqgJIdRCCO0awgp/98Jx0syWMCOOqTt37sSePXsMPa7s3r0bu3fvhpSyqLWTrK9sCJNSMoS1IbPL6SaTyaZMbmwku91uiRMum80Gn8+n/j0jkUhVr7daS5j2oFPYDkdHR9UTBq/XW3MIe+211zA1NYVMJoOenh7ceOONNa9nNpstOqhb7cqiVZUKQEaopqJbqQqJHARuPrfb3ZAQpn1vl8tVcYukmSHs5ZdfxsjICAClUuIdd9xhyPvWSlsdVkqJ+fl5dHd3t20IE0LA6XSqAalR3REdDkdNLeJmFkQpXAyg1mGd0XvUED6fD7fddhvS6TQuXbqEy5cvY2xsDLlcDgcPHqz7/dmKYCy/368ePKsNt60wJsyoEvrRaFQdA1RvwYRNmzZh48aNyGazSKfTlhrkbGVut7uoAIIRY7LS6XTRPmW5E8fCvDTBYBChUAiBQKDudaDleTwedf/UqO6I1ewv3G43fD6fWpjCyHFh2gubVmgJ6+rqKlqem5tbFMLcbndb7de0IaxR3RGbfTxtZWYXHmol/Ct0GIfDgRUrVgBQDkQnTpwAoBw8Dhw4UPdBxEoTV7aDQCCA8fFxANWHsIGBAdhsNiSTSWQymaZfITMzhBk93qxQYYrbb3VCoZA6Ma4RLWHVXr232+146KGH6v65zXD27FkkEgmkUin09PRg9erVpvycK1eu4MiRI3A6nXA4HLjhhhvqDqvaz26juiNWO31IT08PYrEYAoGAoeHcauX+Q6FQUUv+7Ows1q5d25ZzhBWsXLkSyWQSTqfT1JZvhrDaTU5O4sKFC5iYmEAymcRDDz1kiYsWzVbXHkMof8EwAD+WKOAhpbxQz88hc2gPnFJKpFKpurusaa9as2m8ftqDZTqdrmrgbW9vr6GT1dar1Jgwow5qrVL0o90Fg0E1hM3Pz9c9GakVulAlEgmMjIxgaGjI1HkDjx07plZgXLdunWkhLJVKIZFIGNpi1agQVs9Fm127dmHfvn2Gnzxrj3lWCGF2u71oqoa5uTn1frvdjmw223YhbPfu3Q35OUZdNNQqjONq93Ol6elpnD59Wl1eWFhY1H28E9W0xxBCPAbg/wNwA4Dljkqy1p9D5tLvRIyoGKW/KsgrHfXRHyyj0WjLXoHTdk3N5XLq3EIFVmoJo9poD6qZTAaJRKKu7qGFlvtoNIpYLNaUCWYvX76M119/HQDU8YZmrIfL5VJDmJldqszoraANp8lksu7wXc4999yjzkdW7Xgcs7YdK0750tXVpYaw2dlZAMAHPvAB9WIrizfUxqiLhlJKvP3225iZmcHMzAw2bdqEnTt31vRe6XQax44dU+cYHBgYsGQxNH2V6YmJCYYw1BCOhBD/G8BPovLS9TwLt6hSIaxe2quCVjkgtbJSISwcDjdpbeoTCASwYsUKtZtfJpMpOoFhCGt9+oP/wsJCXSFMWyCn0L2q0QpFFwDl9zGrNUx7UtfIEGbEflr/2TWiV0UpNpsNXq/X0Imy62W17oiAUpzj4sWLAJTjeiKRgMfjgRCi6QWaWplRIUwIgUuXLqkt/fVMIJ5IJHDy5El1+frrr7dkCOvu7obT6VTPEScmJrBx48Ymr1XzVbXHyLeAfQxABMC/BfAEgGkAowBWARgAcBeAXwXQC+AHpJTfNnKFqT6JRAKZTAZOp3PRTsToEGaVA1IrKxXCWtWaNWuwZs0adbkwSL7AqBCWzWbruhJ/+vRpSCnhcrkQDAZbNvQ2Q6nqhIUxqPWq9f9ZKNFdi0wmg7GxMXV5cHDQ8DnCChoVwvTFk4z4fUrNFdYJJ/tSSkuGMH1xjtnZWcPmpOpUuVyu6LNT7/YdDoeLQlitx6xWmddSCIG+vj71otbExIRpLeatpNo9xo9D6V74K1LKzwNXD4xSyhyAEQCfE0L8I4BnAHxZCHG9lPKEcatM9Thx4kTRVRMtI0KYFbtmtDKXy1U0B0+lZeoLrQZW3sEZOY+Z/uQnm83WfEJ0/PhxdbzM+vXrsX///prXq9P4fD7YbDa1u5NRZeqrIaXE0aNHMTc3h/n5eaxbtw7XXXddTe81Pj5e1HXLqLLmpWhPnswcV6XfRxuxj9C3Dpq5/laSzWaLlq0SwrRl6gFlXBhDWH2MDjvhcBiXLl0CoHxe4vF4TV1m9RdVrBrCABSFsEQigUgkYslWu0aqdo+xN3/717r7iy6lSSmjQoiPA3gZwH8E8KO1rR4ZTfuB1ZaTBowpLczuiMYSQiAQCKj9+ittCctms/jyl78Ml8sFt9uNbdu2Ye3atSauafWMnMdMf/JTTwlc7WeC23B1hBAIBoNqMQAjytTXsg6jo6PqBYt61kHbFRFoXAhLpVKmXSU2o+XGjK7tZkgkErh48SKmp6cxPT2NG2+8cVFgqYZVp2TxeDxFx/fC8aNdjYyM4L333kMqlUI6ncbhw4cNb4l1OBw4cOAAkskkUqlU3UWv9D0sZmZmagphrdISBpQeF8YQVp1uAAtSSu1RLQVgUb1XKeWrQogogEO1rx4ZTT8GR0qpHkjYHdGa/H5/1SGs8L9MpVKWHYht5DxmpUJYLbLZbNHfysoHNKsKhUJNDWGFdag3hEkpceXKFXW5r6/P1O1B+95Syrpac5diVgjzeDxwu91wu92mhJH5+XlMT0+rP6erq6vqrpSJRAJHjx5Vl6enp+sKYVadkkUIge7ubnV6kwsXLsDr9cLv9yMUCi06GW51qVQKExMTRctmhDAjL2SWCmHDw8NVv08rhbBwOKxW6ASUELZhw4Ymr1VzVbvHmADQp7tvGsCAEKJPSjmpe8wOwJgBAWQIfUuV0SGM3RGNt3HjRqxatQqBQKDi0sJWm6i5FCNbwvTlfWsNYVa9st1K+vv7IaVUJ0yutUVnbm4Ob7zxBvx+P3w+H9atW1fx9h8KhdQAFY1Ga2oZnZ2dLeodsHLlyqpeX61SY3RbJYR5PB7T52cbGRnBW2+9pS5/8IMfrHq/FgqFirrL1lMQAbBuCAOUcWHj4+Pq7/vee+8BUC4mHDrUXtfG9ftp/X7cilwuF/x+f93FOVophNlsNvT19anjbDkurPoQdhHAkBBiUEo5mr/vTQB3A7gHwOcLTxRC3AqlfP3YonehptGHMCGEesWY1RGtqVAdrhpGBhyjFK5Cp9NpZDKZReMprNAS1koHNKvauHGjIVWvFhYWMDExoV7hHhoaqiqE6d+r2gIr2lawws83k35bS6VSpsznZMVCEpXQ7tOEEDUdX2w2G8LhMKampgAoLWH1sHII27RpE9avX49gMIgnnnhCvaDQbnOEAaU/O63AiOIc2t/V4XCYVjjIKP39/WoIi8fjiMVibblNVqraPcZzAA4A+ACAv8/f9w9QAtinhBApAEcBXAvgU1CKeDxlxIqSMfTdBbUtCEaEsIceegiZTAbpdJohrImMLHphFCmlWjYZUE4StmzZgmQyiXQ6XdfBw6gQxpYw69BXz6zmQK2vDjc/P191CNOOB/P7/aaPXShV5t0MrdplXHt8KpRbr0VPT48awubm5uoaPwooxWgK021YaX8RCCijRLLZbFGLbjue8LZiSxhgTHEOo8rmN0qpcWHtuE1Wask9jxAipBv/9RUA/wHAj+BqCPtLAD8G4EYAf6N9OZTui79m0LqSAZaqjGVECHM6nXA6nZaax6UTWbElTH+g9Hq9RSXr6xEOh3Hfffepc5DpuydWSn/ia6WTqk6jHf9ot9urOsHQB6Zqx4XF4/Gi7kErV640vctMo67mt2pLmDZI1LM/6+npUb+XUmJ2dhZ9ffpRFpXp7+/HAw88UPR+VqMfR9yOJ7yNCGGZTAY2m83QliYjinO0WiGpcDhc1CV4YmIC69ata+5KNdFye+BRIcRXAHwOwD9LKV8WQgQBqCPXpZRZIcTdUMLWh6HMFzYH4FsA/rOU8rwpa0410XcXHB4eRl9fnzqgmtqDEV13jGbUuK1y71248luPVir32+60J49+v7+qEGS324vGW1QbwhpZFbGgGSHMCvuFSmn3aUaFMEDpklhrCNOz4tgWfQirpQKf1ek/O2aEsKNHj+Ls2bNwOBwIBoM4fPhw3e9pRHGOVmsJs9vt6O3txeTkJMLh8KJeC51muRDmAfB9+a9RIcRfA/islPK49klSyiiUFrL/YMpakiH0E0s6nU709/e3XaWkdpTL5RCLxRCJRCCEWHacmPaExeVyWeLkQAhRNOeZkSHMKGwJM5aUsuY+//oQVq1QKFRzCCtUlQOU1qJG7CNdLhe2bdumTiuhDwtGeeCBB9Tuc7W2GJcyOjqK0dFRJBIJZDIZ3HLLLYa9N7C4O2Kt/H4/nE6neqJe77gwq+uEljC73Q4hhNoSacYFjMJ7lhrPXCsjinO0WggDgOuvvx5ut7ulWuLNstxf4GcA/DCUcWBDAH4JwC8JId6A0g3xb0pURCSLsvIgYlra888/j8lJ5aPW29tbVQizUgun1UMYW8KMcf78eZw4cQKRSARSSjz66KNVdeORUhadPNZy9b6rq0tt0YpEIshmsxWHjgMHDmDjxo3q6xsx2N1ut2Pnzp0N+Tl2u93w/cL09DROnjypLlfz916OlNKw7ohCCPT09KjFAdo5hCWTSbz//vtF97VjS1iht0chkJgxT53+wqZRCsU5fD5fTcM4WjGEteOFgFoteRYupfwTAH8ihNgCZcLlHwKwBsqkzXsA/J4Q4kko3RW/JqW03lkVqcwuOhCLxTA5OQmn0wmHw4FwOMygZxC/36+GsErmCtPumK0Wwgrm5+cNPVEzgvbvZrPZLLVurSSXyxW1PkUikUUVC5eSSqWKrjbX2hKmtbCwUPGcUDabjb0EqlRqwmajTvgzmUzR/H317tO0ISwajSKVSrXMCWw1pqenFx0vrNArwgxer1fdf8fjccPf36ywc91112Hv3r01b9O7d+9WJ5CutvgQNV9FZ8hSyvcB/CcA/0kIcTuUQPYogCCAh/Nf00KILwL4nJTyNVPWlupidgibmprCyy+/rC7ffffdHd/f1yjak9BCd5+lAq5ZV+3qpV3nqakpfOlLX4LD4cCuXbvqnrRxYmJCPXn3+/3o7e2t+j04xYIx9IUxFhYWqgphRnSh0v+8+fn5uibmpaXpr+IXru4bQd+yUU93RKD0uLDBwcGq3+fixYuYnZ2Fw+GAx+PB+vXr61ovo3XS9u7z+dRJ4s0OYUZe2Ky3Vcio4lbUHFU3U0gpnwPwnBDi/wPwISiVEu8E0AvgpwH8tBDiBJTuip+XUl4p81bUYIVuGOl0Gul0Wj05z+VySKVSSCaTcDqdNR842d3RPPqiE9FodMmAa9XuiKWCTaHqVL1eeukl9ffesGFDTSFseHgYXq+37pL5na5UdcJqBpwbEcK06+D1eotaUsh4+n1UJBIxrCXR6GqvRoWwK1eu4MKFCwCUbdRqIUwfVletWtWkNTGf9iKAfnqLekkpLXthsx1IKSGl7Mhjbs1nyVLKOIAvAPiCEGIQytixfw1ljrBtAH4bwH8XQjwtpbzXiJWl+oRCIdx5551F90kp8aUvfUkd0Lpt27aaxyVwjiXz6E9Clwph+gkfrRTCygVzI9bR4XCoB8pax5sNDQ01pBJeuytUWy38PxYWFqp6fT1zhBU4HA4cPnwYgUCg5fZFuVwO6XTa8M9uIpHA6OgoHA4HnE4nwuGwYSeU+v9RJBIx5H0B40OYx+OBz+dDLBara9uwerl/IQT27NmDo0ePwul0YseOHc1eJdNoLx5ns9m653/TymQyRdMPMITVL51O4/Tp05iYmMDk5CT279+P1atXN3u1Gs6QLVRKOQrgfwL4n0KI3QB+AsDHANgB3GXEzyBzGDmglS1h5ikVwsoRQuDhhx+GlBKpVMpSYwDMDmEFViz60WmCwaC6P6m2OqF2+y4EhlpUO0bi7NmziEQiWLlyJXp6ehr+2Xnrrbdw+vRpZDIZuN1uPPzww4a+/8LCAl599VV1+bbbbsOKFSsMeW+73a4GG8DYEKYtygHU3x0RAPbs2QOPx4NwOFzz/7kVJr7etGkTVq9eXdf8ia1g7dq1GBwchNfrhdvtNvSzq6+2aKULm61KCIF33nlHDbcTExMMYfUSQtwApXviR6BM1kwtwO12GxLCtAcku93ekU3LZvF4PEUTHFZSnEMIYbmDBUNY5wiFQmoxmYWFhUUttEupZ46wepw+fRozMzM4ceIEenp6FvUcaITCtptKpar6m1Xz3gVGB4dAIGBKCOvq6sKWLVuQTCaRTCYN2V+sXLmy7vdolTnXrHYcMIPP5zOt8qM+hBndEhaLxXDlyhXMzMxgZmYGH/jAByqqlFgoXtSK4bpQvK1QnXRiYqLJa9Qcde+BhRDroHRF/GEAGwt3A0gDeALAZ+v9GWQut9utdhcyKoRZ9apgqxJCwO/3q/+nSkKYFZU7UWEIaz/aMVmZTAaJRKLiEsw33HADotGo4WM7lhKPx4vm6TFrnq6laE/upJTIZrOG7kv1XcbNCGGFOdYK0xMYESJ7e3trGuNpNqt3RyRj6M+LjA5hCwsLeOONN9TlmZmZivaV58+fx5EjR2C32+FyuXDnnXfWVOa+Wfr7+9UQNj8/b9gFllZSU1OFECIkhPhxIcQLAE4D+ASATVDC1+sAfhbASinlo1LKfzJqZckc2o3eqO6IVr4q2Kq0XRKNvMrcSOvXr8ett96Kvr4+9T6jSsFr34MhrPlKVSeslNPpRHd3N1auXGlIi0UlRkdHi5Yb9XO19Cd3Rs931IiWMO3PMmO+JithCOsMZndH1FexrHTS5sJ6ZbNZxOPxltsG9YV7OrE1rOL/mBDCBuA+KN0NHwLgxtUuhyMA/hrAZ6WUx41eSTLGuXPnMDExAafTCY/Hg61btwIo7l+v73tfDZb3Npc2hEWjUcO7KjVCKBRCKBTC+fPn1a5qRvXf1x6AtHNMVSqdTuNrX/saXC4XnE4ntm3bxvK/dShVpn65ScbNMDY2hrm5OczPz6O3t7dsBbsrV64W8nU4HE2ZI0wfwlKplKETm5odwvT/80gkYsj4LaviMa8zmN0d0e12w+/3qz1cKg1h2u1PCNFyIUx7MRZQQlg7V/AsZdn/mBBiL5Tg9f0ACkclASAB4J+gdDd8SkrJ+r8WNzExgXPnzgFQyrkWQpj2qk46nUYul6tpPBe7I5pLe5U5m80imUyWPMEZGxvDzMwMXC4X3G43Vq5cabmwZkYJ/Xq7IxbmGIvH44jH42xNq5PP54PdblcDcbXFOYzy2muvqd0aU6lUyRCWzWbVyXsBYGBgoCljWkuFMCM1siUMUEKY/kTLSnK5HCYmJjA2NoaxsTFs3bq14uIAUkq2hFlMJBJBJBJBLBaD3W7H2rVrDXlfIQS8Xi+SySRyuZwp1RHD4XDVIUw/gbTVjvPLKVRoLfy+bAnTEUK8A6XcPHC11etFKMHrb6WUzTmqUk3KXbXTnwQnk8ma+hWzO6K5SlVILBXCRkZGcPLkSQBKF71HH320IetXDTMmvqw3hOnHy7AMcX2EEAgGg5idnQVQfZl6o4RCITWElQuC4+PjRa2nzeiKCCz+LJgZwmw2m+FB08wy9WbI5XL4l3/5F7VC29jYWMUhTN/azhDWfEePHsXIyAgApZiLUSFs48aN2LhxozpO04wLNOFwGJcuXQKg9EiKx+PLnofpQ1gr6u/vV0PY3NwcUqlUy/4utVhur7E9f3sewF9B6W542txVIrOUa6kyKoSxJcxcgUAA4XAYfr8fgUCgbHix6kTNWmZMfKnvjlhtd039CS8vJNQvGAxifn4ewWBwUVe1cqanp5FIJODz+eD3++v+P4RCIXW8VyQSKdnSXzhxK2jWXHGNbAkzYx9tt9tx/fXXw+v1IhAIGFKtTkqJr33ta+rccxs2bDCsm7DD4UBfX596BX5sbKzi/QanZLEeMydsBszt8qefTqOS4hztEsLef/99dXlycrJpF8GaYbmt6XMA/lJK+VwD1oVMVq6lqlQIM/L9yRhdXV04fPjwss8zo5XJKLlcDrFYrKi6oxktYYCyPVazHbIlzHj79u3DwYMHqwrDZ8+exZkzZwAo+5FHHnmkrnXQFgiRUmJhYaFoonMpZdF4sN7e3qZ9blo9hAHAunXrDH2/VCqllqYHgOHhYUPff8WKFWoIi8ViiEQiFV0w0IcwHvOaTxv60+m0oRM2m61UcY7lwkg7hLBS48I6KYQt2aYqpXycAax9lOuOqO/SVmsIW7t2LdauXYvh4eGqJ0kl45jRymSUubk5fOMb3yi6z8wQVg22hBnP6XRWPU5BP0dYvZar0jg3N4d4PK4uN6sVDFBakrRVPo0OYa1YSEJ/PDI6IOuLxRRK7C/H7HL/VD19y5H2c211bre7KERWMi6sHUKYy+UquijWaePCuNfoINWMCavF7t27a3odGcvK3RH1JyoHDx6seAzGcoLBIFatWgWHwwGHw1F1v322hFlDo0OYvitis6/Culwu9eSxFVvCjKav2Gv0Pq2npwdOp1P9/I+NjWHjxo3LvEppddm3b5/a4qLfzqjx9N1fY7FYxd2grSAcDqvdKKsNYa1yUaWU/v5+zM3NAVB+73Q63dK/TzVaYy9Mhig3ZsvlcsHj8ai37VxSuBO0UghLp9OGVXRasWIFVqxYUfPr9SGsUw4CViKlLBrLYcSYIqfTCa/XqwYbfQjTdkX0+XxNP5lmCCumvyho9PFJCIEVK1bg8uXLAJSWsErGhRXGp5F1mNUS9uabb8LhcMDtdqO3t9e0nj7hcFjdDpcrzpHL5Yo+z6180bC/vx+nTp2Cx+NBf38/Qxi1n1wuV1TNSbuBCyHw0EMPNWO1qA6Fil7ak4VsNlv0f7Z6CLNSGXjtCa/D4Wi5cr/tIJFIIJe7OtuJUXNkhUKhkiGsUMClwArTObhcLtjtdnW+OiOtWrUK3d3dprbcSCmRSqXUcuFdXV2LxrtUw+zuiIDSJbFw8ptOpzE9PY3e3l7Dfw6ZSx9YjCjOkcvligpHbN++3dQQprVUcY526rkxODiI++67D36/v+n730ZjCOsQHETcHqampvDuu+8iGo0iGo3i7rvvLpqbpxEnLPWwcgjTHtRa+YBmNePj4xgfH8f8/DxyuRxuueWWss/VdkUEjA1hhXnAFhYW1AqJdrsdhw8fRiwWw8jICHp6egz5efW49dZbTZuj7JprrjHlfbVyuRy++tWvqsvbt2+vK4TpuyOa8dnUt6CPj48zhLUgh8MBl8ulXlAzoiVM3xpt5jFVG8JsNtuS62/2BNKN5HA4Fs0x2CkYwjoEu1q1h0wmUzSGJRqNLhnCrLZjFkIUTeBrpRDWLv3rrWZ0dBTvvfceAOX/v9Rk8GaGsAIpJSKRSNF9Pp+vonFAjdCMSaKNZLfbi7p/1jtXmL7QkBl/n0I5/ULLydjYGLZt27bMq8iKvF6vui83oiWskcdUt9uNAwcOIBQKoaura8ltPZvNqr9rNpu13LGeKsMQ1iHMntNkbGwMR48ehdPphNPpxJ49ezr2yoaZSk3YrNXIq3a10naXfP/997Fr164mrs1VbAkzh3ZgfKkApKU/aTJiTBhQujhHs8d+tbNAIGBKCDNrfyaEwMDAAM6ePQtAmatoufLmuVwOQoiO6z5ldT6fTy3yYEZLmNnHhkonmO7u7saDDz4IAEVduKm1MIR1CLNbwhKJRNFYC+04CzKOz+eDEEL9++pDmNW7I5opnU7jxRdfRCaTQSaTwdatWys+oAEoO2aS6lNNANJuz0aOiVquQiIZKxAIqKWmFxYW6novbXdEM4tGaUOYlBITExNLTlfw9ttv4/3331cLNtx///2mrRtVzugJm1vhwmart56XslSPiXbCENYhgsEgbr75ZqTTaaTT6aJ5GQDlyt+lS5fUSTFvvvnmovlqlmN2SxspbDYbvF6venDRX2Xu5BAmhCia46faq6CHDx9GNptddMGC6qMvEb3USbnR5ekLXC4Xdu7cqVY/DAaDFVXAo9poe0Gk02mkUqmaWxAaVe1VOy6su7t72QuJhWNeJpOp6lhJ5jJ6wmard/FvJ6Ojo7hy5QomJibgcrlw6NChZq+S6Xim3CHcbveS89/Mzc3h5MmT6nIqlSpblacUjjlrnEAgoIYwfUtYf38/du3apYbpTjpg6E+EtC1b1bwHT6iM5XK54Ha71ZOZpVqhzAphAIrG+Egp8e1vfxvBYBBDQ0MYGhqyzGclFovh8uXLSKVSSKVS2LJliyF/i1gshhdeeEGdR2/btm2LJio2ir4reiQSqbnoSaNCmNvtxi233IKenp6Kfk4rlvvvBOFwGGvWrIHP56vqHKacdiqAYXWXLl1SW6NtNhuy2WzbH4+55yAAiw9uiUSirhDW7h+cZtKekOlDWHd3d12VyBph3759OHLkCABg7969hr2vlYt+dLpQKLRs9zQz5ggrZ35+HrOzs5idncXFixexc+dOyxRiiEQiOHr0qLq8cuVKQ0JYOp0u+tubWYjEqBCmnwvJ7Dksl+p+qMcQZk2Dg4MYHBw07P20IUwI0ZD/dSKRwPT0NGZmZiCEwPbt203/mVbQ39+vhrBcLofp6Wn09/c3ea3MxT0HAVgcwvRN8MvRHpCcTie7+ZhIe0KWSqVabmLDDRs2qEHR6JLgDoeDIcyCgsGgGsLm5+dLdgXM5XLYtm0bYrEYotGoqRcTtBM0A9WdfJtNf6XdqAmbG9llvFQIq4XNZsNjjz2GVCqFZDJpqf2c9sIjQ1j70rfENuLc5vXXX1fnrfN4PCVD2Llz5xCJROByueD3+zE8PGz6eplNH7gmJiYYwqgz6K8wVhvCtAckKx0o21GpColWb/3SM2s+JofDoW67DGHWoS2Mkc1mEY/HF7V02e127NixoyHro53mwefzLRoj20z6C2KtGMIcDgc8Ho9aVKOe4hxCCLjdbsuNb9VfeKT2pP38NaorYjgcVkNYIpFAPB5f1DPp4sWLGB0dBaD0gGmHEObz+eD3+9UePoULd+2s/UuPEAAlVCUSCWSz2ZIDjo1sCeNVQXPprzLruyR2Mu22V00Ii8ViOHnyJM6dO4crV65Uvf3T0vTFOZpVnVBKiampKUxNTan3DQ0NWarlvlEtYWYHB+1+qt4y9c0ipSxboIPHvM6g/fw16kKAdtJmAJiZmVn0nGaEw0bQtnxNTU21ffl97jk6xJtvvonz588DUFpS9OV0C10ICwcctoRZl74lTHuC0yllXcupNYTNz88XjcM5dOiQ5a68tzJ9ifiFhQVDx21U6sknn1xUtnqpgkXNYLfbYbPZ1JMPo0KYftyu2cEhEAhgcnISQGuFsGQyiUuXLmFsbAzj4+O44447Sk6pwBBmfVJK5HK5usaoN6slTGtmZmbRfqpd57Xs7+/HuXPnACi9Jqanp9HX19fclTIR9xwdQnvAKLVDKnT5KHQf0c7NUu3784BkLpfLBYfDof7NCy1hUkp86UtfgsPhgMvlwpYtW7Bp06ZmrmrD1RrCWN3TXF6vt6hoSrNawvx+f1EIs9vtlhxz4Ha71SkWWrE7IlDcElao9NgKJ4uxWAyvv/66ujw2NlYyhHFMmHW98847uHTpEuLxOPx+P+6+++6a32vnzp2Ix+NIpVKLeqGYxe12w+fzqfuqTm0JA5QuiQxh1PIqaanShjC2hFmXEAJ+vx9zc3NFV8zT6TSklOpccO3ejF9KrSGMZYjNJYRAKBRSTyZKdaFtxLxd2kmEAWWCXitWcnW5XC0fwrq7uzEwMIBAIIBgMFjT/3Z8fBzRaBRutxsej8e0saRa3d3dcLlc6t99bGwMmzdvLnqOlJJjwiwsmUyq4xDrnbC5WWOtwuFw2RAmpWzbEFaYWqCw/5uYmChbuVZKiXg8joWFBSwsLCASiajfHz58uCX+LgxhHaLSEFbAEGZtN9xwA5xOJzwej3py08kTNRdoT6jZEmYtO3fuBKCMDytVfv6b3/wmpJTw+/1YvXo1NmzYYPg66H+uVa+wak8ezAphZofPwvxr9Th37pzajd7r9eLBBx80YtWWJITAihUrcOnSJQDKSaC+m7d+DkK2hFmL0RM2N4O+OEcikVALqGUymaKxiq0QNiolhEB/fz8uXLgAAJicnFz0+ZNS4plnnsHc3FzZ+UAXFhbQ29vbkHWuR+cOHukwlXSdqCeEsTtiY4VCIXi93qKry/r/WTvtmCul3faqmaxZe6Jrs9ks2TrS6grz9/j9/pLl6aPRKKLRKMbHx00bQ7R69Wr1ZzudTqxbt86Un1Mvs0OYw+GwVDGScho1UbOedhLrTCaD6enposcb3apI1dFXEqy3NawZlirO0e49N7RdErPZLGZnZ4seF0Igk8kseYyvpyJrI3HP0SEq6TqhLVNfbQi777771G5wndgCYwX6HXMn/h+MGBPGee4aLx6PF13ZNWJy4lKCwSBuvvlmjIyMYM2aNZb9jDQihLUCK4QwQOmSqG01zWazcLlcyGQyyOVyLfP37BT6Fu94PF5yXJ+VlQphhZblTgphQ0NDJc9ZA4HAorHFNptN7f5s9sTuRuGeo0NU2x0xk8lU1YTv8XhaZqNvV+yOCGzevBlr166Fw+Go6sSoXfvXtwr9GDGzQhhgTDc5s2m3wWQyach4uVYMYdoCUY08vvj9/qL5isbGxormsPP7/fjgBz8IAB059tbqjGoJK0zpY7fbG35hbqniHO0ewgKBAAKBACKRCOLx+KIpTgClqq3X60UwGFS/fD5fy11AbY09MdUll8sVNduWC2ErV66Ez+eDx+OB2+1ml6wWwxCmXAEtNd5oORzT2FyNDGGtQHtSJaVENputOzg1u5pfteNypJRNawkDlNawM2fOAACmp6eRTqdL7hs6eUoQq9KHsEKRh2pdunQJr7zyCmw2G1wuFw4dOtSwColAcXEObZdY/RjmdgthQgjcdNNNOHHiRNl9xvr167F+/foGr5nxGMI6QKX917u6utDV1dWIVSIDTExMIBKJIBqNoru7u+iEheOaqqO9ssgQZp50Oo2FhQW1G0lhTJY+hNUSpNtJf38/duzYAZfLBZfLZcjV3RtuuAGpVKqqbrr1unLlCk6cOIFIJIJkMolHHnmk4s9XoatfQTNDmJQSExMTlptTjkorTNNS2K/XGsIKr8/lckgkEg0/NpQrzqFvCWvHY1ZXVxcOHjzY7NUwHUNYB2Dlt/b0ve99T+2us3bt2qLH3G53yzXLN1O7TnxpNa+88gquXLkCQOlyUghh2u5CHo+n4y8g9Pb2Gl7Zy+l0Nnzfn8lkMDU1pS5HIpFFY13K0bfsN7q7+4oVK4qWx8bGGMJaiNfrVcNKrd0Rmx12BgYGkM1mEQ6HEQ6H1QsR7d4dsZMwhHUAs0NYPB7HzMwMnE4nHA4HQqFQx59ENYLf71dDWCQSKdoRd2JXxHqwJawxtH37I5EIstks7HZ7UUtYp3dFbCf6rlv1hLBG79NcLhfC4bA6FmdsbKyhP5/q4/P5MDc3B6D2ljDtNuh0Ohve9bSnp6fk3HiDg4NwOp1IpVJIp9M832phDGEdwOwQNjU1hZdeekldvuuuu9Dd3W3oz6DF/H6/epU5Go0WVZfr1BCWyWQwPz+vFpbp6elZ9gp6YYLrAl5VNI++QlkkEkFXVxdDWJsqFcIqpS3KATRnnzYwMKCGsIWFBcTjcXi9XkxOTmJiYgIOhwNOpxNr1qzh2DCL0Y4LM6IlzErHhe7ubp5jtQmGsA4ghEAoFFInLVwqhGWzWSSTSSSTSTgcjpJVafTY3bE5tCc4+hMWKx0wGml2dhbPPvusuvyBD3wAg4ODS75GSont27erUyyUuvJIxtDvT+bn5xEMBouuVDOEtY/CmLbCyWw1IazZ3REBJYSdOHECTqcTAwMD6ni68fFxHDt2TH3emjVrGr5utDQjJmzWhrBOvbBJ5mII6wB9fX245557KnruN77xDfWEaO3atThw4MCyr2EIaw79yWoikYDNZkMul+vYA4b+IFtJEQKbzYbt27ebtUqkoW8JW1hYWHSVutOLcmgVKiNKKevar0opcfnyZbXlxu/3NyzUBAIBtbJbPSGsGfu03t5e3HnnnQiHw0VjbLX7FZvNxlYwCyq0hNlsNnV8WLUhTLsNduqFTTIXQxgVcbvdagirdMLmSqsvkrH0IeyWW27B4OBgQ6ufWU0tIYwax+l0wuPxqC238/PzLE9fxpNPPol4PI5cLoctW7Zg165dNb9XNpst6jJ+7bXXYuvWrUas5rJqDWHa1n2Hw9GUcS92u71ky3izy/3T8oaHhzE0NFRXdVGrdEfM5XKYn5/HzMwMenp6WMW6jXDvQUW0VxsrDWHaAxKvCjaO/mQ1Go1CCNHRLZEMYdYXCoXUE+yFhQWk02k4HA71f8UQpsjlcmqJdn01tGo180KZtgtqIpGouFvY4OAgHA5HxcehRtL+PTt5f2tlRvxfrNAdMZ1O46tf/aq6L9ixYwf8fn9TJpAm4zGEUZFaQhgPSM3h9XrV7ofA4rmWOhFDmPUFg0GMj48DUELY8PAwhoeHkU6nEY1G2R0xz+Vyqb0SjA5hjdxPlyrOUUlRgaGhIQwNDZm0VvXR/j3ZEtaecrlc0f+5WS1hTqezqIfSzMyMGspcLhc2b96Mbdu2NWXdqH5ssqAi2nECyWSyqOJeOdqWMIawxhFCFJ2wVtPVp13puywxhFmPdlxYNptFLBaDEEItCc6WdIX2pK/eEKYft9vI4FBPhUQrKlReLWAIa0/6i9DN7I6ondZhampKHSda6TkaWRf3Hh3gzJkzmJubg9PphM/nw4YNG8o+V9sSls1mkc1mlz3IsH988/j9fvWkhi1hSjC12+3IZrMAoN4u5dSpUzh+/DhcLhecTiduvfVWXkwwkb5C4sLCArsglmBkCGtmd8R2CGGzs7O4cOECxsbGEIlEirZXHvPak/4z18xiV+FwWJ3k3krhkOrHvUcHGBkZUT/AXV1dFYcwAGqp+qWwO2LzBAIBdRLRubk5nDp1Cm63G8PDwx3bouBwONTwVUlLWGFKhsLBjRNfmktfIXF+fn7ZaQQ6UbuEsHrK1FvFzMwM3nvvPXW5MAkwwGOelU1PT2N2dlatwLpz586KX5vL5eDz+ZBKpZDJZCzTEqbHENbaGMI6QDUtVfoQlkgklr1KzZaw5tH/b9544w0AwGOPPdaM1bEE7WD+SkKYfvvt1PDaKB6Pp6gQx8LCQpPXyJr0IUxKWfNA/GZXsC1USPR6vS15jBgYGCj7WCv+Pp3i7NmzOHPmDAAlLFcTwsLhMB544AEAUMddNwtDWPvi3qMDVNNSVaolzMj3J2P19fVh8+bNOHnypHqf0+ns6CChPSmqJIRpWxm4/ZpPCIE1a9ZACAGHw4Hp6WmcOnUKfr8fvb29PKnI0/4dcrlcRV3Dy2l2CLvxxhvhcrkq/rnz8/N4+umn4fF44Ha7ce2116K/v9/ktSzP5/MhGAyWvGDAEGZdhbnCgNonbAbQ9OOpx+OB1+stmtS+gPvL1sa9RweopnCGfgLPSkIYC3M0T29vL3p7e5FIJHDx4kUAze27bgXVhjDt9ssDWmPs27cPADA6Oor33nsPExMTAIDbbrsNK1asaOaqWYZ+W6xlstmCZoewaiteFkrZRyIRRCIRSxQfGBgYYAhrMfrtLh6PLxqT2irC4TBDWBvq3MvlHaSakFRLS9iqVaswPDyMgYGBReM9qDG0/6dO3ymzJax1cKLm8kqFsFo1s0R9LfTHHStcWCp3ccDqf8tOpm0JA6CODWtF5bokdvrxvtXxEk4HqGbMlt1uL6ouV0kIK1zVpubR/p+scMLSTD09PWpXt0querIlrHm0IUwIseikqZPVckGsHO02LoRoeveq5Vg1hAkhilrltmzZgp6eniauFS2lVEtYqyoXwngRoLUxhLW5XC5XNKh0uQ+sEAJdXV3I5XJwu92LyguTNTGEXVXN4GuALWHNpL0yXZh8nBRmtYS1wjaeSCSKlq1wccTpdKKnpwdTU1MAlGIju3btavJa0VLqaQk7ffo04vE4XC4XAoEAVq5cafTqVaVUCHM6nTUX6yFrYAhrc/pJOis5AN95551mrQ6ZoDBpY0Gnh7BqsSWsebQtYeyKWKywLTocDrhcrrpOtnp6epBOp5FOp5s2hmlkZATz8/OIRCIIBoPYsmVL2efqu1dbJZwPDAyoISwSiSAajXK7tbDCZ6dwAaOalrDz58+r/+v+/v6mh7BSxTl4vGp9HRHChBBuALcDuF7zNZR/+D4p5TebtGqmqyWEUWt59913i7rI8H9cuVwu13KtBO3i1VdfxfT0tLrMk9liHo8Hjz32mCEBZN26dVi3bl39K1WHY8eOYWZmBoByUltpCNMXi2qmFStW4Pjx4+ry+Pg41q9f38Q1ouV4vV41hFXTEqZtebZK2Fm1alVRJWSrrBfVriNCGIBtANo2aC1FH8JYyan96AfdF8bz0fL0nw8e1BpHf1WaIayYEKKtuhoFAgE1hC03YbO2O6KVWvZ7e3uL5rgbGxtjCLM4r9erTq5dTUuYFXuX7N69G7FYDOPj40in0zxetYFOOiOfBXAEwKsAXgPwD01dmwYxuyrWxMQE3nrrLTidTjidTlx33XU8mWowffEJFjeoHFuKm8dutxctW+VEh8yhHV8cj8eRzWYXbQMFVjwBBpT5ovr7+zEyMgJACWH1TKJN5tMW56i0JUxKacmWMAC46aabACjryAuura9TQthbAHqkps9Wp+w0zT7JjMfjRV2Kqi2KQPVbs2YNjh07pg4iXrt2bbNXqanGxsZw6tQpZDIZZDIZ3HzzzWW7NLElrHm6u7tx5coVddlK3c7IePoiT5FIBF1dXSWfa9XuiEDx7yGEYIuExdUyYXMrHBcKFYCptXXEf1BKmVv+We0pHA7j4MGD6qDsSibNnJ2dxZkzZ5BMJpFMJnH99deXbd1id8fms9vtuPPOOzE6OoqBgYGO/x8kEomik/t0Ol32RC4cDuOxxx5DJpNBKpWy3AlfO9u0aRNOnjyp7pcGBwebvUpkokpDWDabLTquWKklDAB27NiB0dFRLCwsYGhoyJIn6HRVLRM26yuRWm0bpPbR2WdrHcDr9WLNmjVVvSYej+P06dNFy+VCWKtNAtquvF4vxybk6UPochM222w2uFwunkw1mNvtxuHDhzE+Po6hoaGyXdM6WTKZxOjoKGZmZjAzM4P9+/dXNPed3vPPPw8pJRwOB4aHh5uyrygVwkqx4hxhWk6nE/fccw/i8XhFFzWpucLhMLZu3Qqv1wufz1fRhTb9NshjA5mFIYwWqWaSUH1LGE+kqNn0IYz95q0rEAhwLsIlRCIRvPLKK+ry9PR0TSFscnJSnS8yFAoZtn7VcLvdRUUtyoWwVCoFm82mrq8VW6eFEAxgLaKrqwvXXnttVa/Rt4QxhJFZGMKqIIT4SQA/CaDq1qVWUmsI48SBZAXVtoQRWVV3dzeEEOoUFDMzM1WP+czlcmqgAZrXZVwIgUAggNnZWQDlQ1h3dzceffRRZDIZJBIJS4Ywam/sjkiNYo0ZEFuElPLPpJT7pZT7+/v7m706pqkmhGlPcDt9LBJZg741liGMWpXdbi9quSqUeK+Gfvtv5n5a2+q5VJl6IQScTieCwSC7uFPDsTsiNYplQ5gQ4teEEJkav36r2etvFYVqQNrJfJfjcDiKTmSraQkjarZqWsLGxsZw9uxZXLp0CZOTk2avGlHVwuGw+v3s7GxV+3LAuiEsFouxqzBZErsjUqNYuenCBqDWAUYcmJT3yiuvqJXi+vr6cOjQoYpe5/F4EI1GARRPnKmnDWFsCSMrqCaEnT17FhcvXgSgnCDed999pq4bUbXC4TDOnTsHQNmWI5FIVePCrBrCACAajTZtjBp1Fikl0uk0kslkVdURXS4Xh1mQaSx71iyl/ASATzR5NVqevnBGpdxutxrCKu2OyJYwsoJqQpj2YMvtl6xI2xIGKF0S6wlhzdzO9esdiUQYwsh0x44dw3vvvYdsNgun04lHHnlkyeevXbsW3d3dS577EBnBsiGMjFFrd0HtuDB2R6RWUs2YMO32yy4nZEX6ubRmZmaqKgxlpbkcQ6EQduzYgWAwiEAgUDJMXrhwAel0Gm63G36/f1EIJaqWzWZTu75WMmFzb28vent7G7V61MEYwtpcrd0FKw1hLMxBViOEKCqFzZYwamUOhwOhUAjz8/MAqi/OYaXuiC6XC9u3b1/yOe+//776Ow4MDODWW29txKpRG/N6vUXLlUzYTNQIli3MQcaotaVKWxY4mUyWHQzOljCyIm1rGFvCqNVpW4NmZmaqKs5hpRBWCe0YZJanJyPo53SLxWJNWhOiYtbeGxtICBFG6YIdISFEn2Z5TkpZ20AqC6p1zJa2JawwoLXUSepdd92FdDqNdDrNAyZZhsPhUFtwy1Vgk1KyJYxaQjgcxvnz5wFUX5yjlUKYlLKo5wXnZyIjlGoJI7IC6+6NjfcGgFKzXP6tbvkQgOdMX5sGyGazRZN01hrCAOXqZKkQpq92RWQFBw4cAKCccJY7kctms0UtCmwJI6uqpzhHK4WwTCZTdMxiCCMj6EPYUi1hhYvOTqeTVRHJdNbdG1Pd6jn49vf344YbboDb7YbH42HYopbS19e37HP0BQvYEkZW1d3dXbRcqFxbCSuGsFwuh2g0ikgkgp6eHjVs6ccfs3cFGcHhcMDlcqk9H5ZqCUskEvj617+uThi+Z8+eqgrhEFWj+XvjBpFSrmv2OjRaPSeZPp9vUT9qonbCCTmpVTgcDuzfvx9+vx/d3d1VbaubNm3CqlWrkMlkkMlkmn51f2pqCs8++6zaCn3LLbdgaGgIwOIQxpYwMorX61X3+Uu1hBWeU+iu3uzPC7W3jglhnYhX+onK4+eDWsn69etrep3b7bZUmPH5fEXdgCORiPq9tigHwBBGxvH5fJibmwOwdEsYLwRQIzGEtTGzTzITiQTm5+fhdDrhcDjg8/kWzdFEZFVsCSNqPI/HA7vdrhbM0YYwdkcks2jHhVXSElbA4wKZiSGsjZkdwiYnJ/HSSy+py3fdddeisQtEzZBMJpFMJpHJZJDNZtHf37/oOWwJI2o8IQQCgYDaKrFUCGMrBBlFO7xiqQmb9dsgQxiZiSGsjQkh4PP5KpohvpRMJoNEIoFkMgmbzbaoQpd+wDdPYskqTpw4gffffx8AYLPZ8Nhjjy16TigUwjXXXKNOscATPqLG0IawhYUF9X5td0SHw8GeFWSYSids1reE8bhAZmIIa2MrV67EypUrAaCqyT0LXnjhBUxNTQFQqiXefvvtRY/rWxKsUHWLCCjeFnO5HKSUiwZYh8PhRRcWiKwsk8lgZmYGs7OzyGQy2LZt27KvmZqagpQSDocDHo/HEl38tNV2Y7EYcrkcbDYb5wgj0/h8PthsNvh8Pni93qKpELS0Icxut/NCAJmKZ80dopYKP9qDoL6JHmB3LrIu/QWBTCbD7ZNa3uuvv65O2ux0OrF169Zl9+2vvvqq2tq0atUq3Hjjjaav53K0IUxKiVgshkAgUHScsUJYpPbR39+PRx99dNnPi3YbZFdEMhtDGJW1XAjTdke02Wyw2WwNWS+i5TCEUTsKh8NqCEun04hGo8vO4ajdT1ult4J+nSORCAKBANavX4++vj4kEgn4/f4mrR21o0ovRGtbwhjCyGzW2COTJelDmL5Ll7YljCe4ZCWlQhhRq9N3n52ZmWmLELawsIDBwUFOiktNpw1h7BJLZmPTBZWl7w6iH7CqDWFWObgTAQxh1J701WdnZmaWfL6U0pL7aa/XW9RzQlshkaiZ2B2RGskae2QyxenTpxGLxeB0OuH3+7F69eqqXq+/CpRMJovu057YsiWMrKSSEPbcc88hFovB5XJhcHAQO3fubNTqEdXE4XAgGAyqY7yWC2H64gNW2U8XytTPz88DYAgj62B3RGokhrA2duHCBUxOTgIA+vr66g5hiUQCoVBIXWZ3RLIqfQgrTAyrFY1GEYvFEI1Gi7ZrIisLh8NFIaxU5c8CK1ewZQijRpuYmMDY2Bji8ThSqRRuvvnmosellOp5TyqVYndEMp119shkuHpbqkq1hJV7fysd3IkqaQnTXvHkRQRqFeFwGBcuXACwfHEO/XZvpf10d3c34vE4AoEAQqGQOo1KLZV8iSoxOTmJd999V13Wz58qhMC9994LQAlk5crYExnFOntkMly9LVXLhTC2hJFVLRfCpJRF97HbCbWKaopzWDmE7dixAzt27FCXL168iFdffRVutxtutxs33ngjKySSoSqdsBlQAhnnCCOzsTBHG2tkCLPSwZ1If/DUn4xyjjtqVdUU57ByCNNLJBLIZrOIxWKYmZnhCTAZTh/CYrFYk9aESGHdPTLVRV8Vq5aTTJvNBpfLpXbb0oewwcFBpFIppNPpsleTiJphuZYwfaVPtoRRq3A6nUXFOWZnZ8s+t5VCmP74wvE4ZDSfz1e0HI/Hm7QmRArr7pGpLrlcTu1jD9R+8HW73eoJayKRKHrs4MGDta8gkYnsdjvC4TDsdjscDseibk1sCaNWVmlxjlYNYW63m2PDyHBsCSOrse4emepi1Elmd3c3nE4n3G43enp6jFg1ItMJIXD48OGyj7MljFqZtjhHKpVCLBYrOX5KH8KsfLFBe5GPrWBkBofDUdS7R98SNjY2hrGxMbhcLrhcLqxbt65oPjsiozGEtSmjQtgNN9xgxOoQWQpbwqiV9ff3Y9OmTQiHwwiHw4u6WRV4PB6sXLkSmUwG6XTactv52bNncfnyZUQiEbVlD2AII/N4vV41hOlbwiYmJvDee++py+vXr2/oulHnYQhrUzzJJCpP3xLGzwe1kkL4Ws7g4CAGBwcbsEa1mZubw8jIyKL7PR5PE9aGOoHP58Pc3ByAxS1h2i6xLpeLXWLJdGxnbVOt1A2FqNH0FynYHZGo8cqV1mdLGJlFOy5M3xKmvTjHYwI1AlvC2pT+JNPoAdmTk5M4duwYnE4nHA4HduzYwTldqGXoW8KsXLCAqF0xhFGjabvuptPpogmbtccFboPUCDzzaFNmd0eMxWIYHx9Xl7du3Wro+xPV6+TJk5ienkYmk4HP58OePXvUx7SfD3Y7IWqOciGM3RHJLEtN2KzvjkhkNoawNtXb24t9+/YhnU4jnU7XfFUnGo3i3XffRTKZRDKZxK5du9Db28sxZ2R5ExMTuHz5MgAgFAoVPbZnzx5ce+216pVQolYkpVQnNw4Gg+jq6mr2KlXF5/NBCFE0nQrAVggyT6ky9YUQxu6I1GgMYW0qGAwaMoFyJpPB2bNn1eVoNIre3t6Wmn+GOpN2m9Rvr0IIOJ1OXjyglpXNZvHEE0+oQPPi/QAAJVNJREFUV++3bt2Ka6+9tug5b731Fubn5+FwONDV1YVt27Y1Y1XLstls8Pv9iEQiRfczhJFZurq6sHfvXni9Xvh8vqLWWHZHpEbjmTMtSb8jKhzwzR5zRlSvpUIYUauz2+1wOp3qPnlmZmbRcyYnJzE1NQVA2XdbLYQBSpdEfQhjd0Qyi8fjwcaNGxfdn81mkc1m1WW2hFEjsDoiLamSEOZwODimhiyHIYzanbZM/czMzKJufdrt3qoXyvTjwu67776y854RmUU7HgxgCKPGYAijJQkhioJYYUelPbizSxdZkfakM5fLIZfLNXFtiIynDWGpVGrRvEetEML03eZtNhtsNp6aUGPpK+ayOyI1Avd0bSqbzS66Klor7c4okUgAWNwSRmQ1dru9aFnb1eTMmTO4ePEixsbGFs0VQ9Qq9BM267sktkII07eE6bsmEjWCPoSxJYwawZp7ZarbCy+8gMnJSTgcDgwODuLGG2+s+b3YEkatSH/Smclk4HQ6kc1mceTIEfX+nTt3WnKsDNFyuru7i5ZnZmYwPDysLrdqCFuxYkWT1oY6gZQS6XQasVgMiUQCg4OD7I5ITWHNvTLVrdBSlclk6u6GVSqEaVvCGMLIikqFMMD8OfSIGsXlcsHv9yMajQIobgmTUha1/lo1hGnL1Nvt9kWfTyKjnThxAu+88466/KEPfQg9PT3Yv38/UqkUUqkUxyVSQ1hzr0x1MzIkLRfCrHpwp85WLoSx2wm1k3A4XBTCpJQQQrTMNCI2mw2HDh2Cz+eDx+NhkScyXbkJm9evX9+kNaJOxTFhbcrIEKYtF5xOp5HL5dgdkSyPLWHUCbTjwpLJpFqco1VCGAD09vbC6/UygFFDlJqwmagZGMLakJTS0LEApcrUszsiWR1bwqgTlCvOoQ9h3E8TKfRdDfVVRYkaxbqXxqhm+sqIRnZHBJQKiYcOHUI6nUYmk1l0VYnICtgSRp2gVAgbHh5etJ1buSWMqJHYEkZWwb1yGzL6JLNUS9jg4GBd70lkNp/PhxtvvBEOhwMOh0Odj4gtYdROyhXnaKXuiESN5HA44HQ61XOleDyOdDoNu93OOeqoobhXbkNGd0Pp6urCTTfdBLfbDbfbzapB1BKcTidWrVq16H62hFG7GRwcRDweRzgcRl9fHwCGMKKl+Hw+zM3NAVBawr797W8jEonA6XRi7dq12LNnT5PXkDoB98ptyOhuKC6Xq2juGaJWpm0Js9vtiyZ1Jmo1e/fuXXRfX18f7rjjDmQyGWQymUXzcRF1Mq/Xq4aweDyuHhfS6XTRcA4iMzGEtSFe6Scqj0VlqBO4XC709vY2ezWILEnboycajRa1HLOLOjUKQ1gbMjuEpVIptdne4XDA7XazHzW1DG1LGA+2RESdR1ucQ991l8cFahSGsDZkdmni8fFxvPTSS+ryXXfdhe7ubkN/BpERUqkU0uk0stks7HY7/H4/W8KIiDrcUmPb9cXIiMzCENamXC6X2rfZiAHZ6XQaiUQCiUQCV65cKXqMA77Jqp5++mlEIhEAwOrVq3HDDTdg1apVCAaDSKfTHCdDbSebzWJ+fn5R6XoiumqpqXXYEkaNwrPnNrRu3TqsW7cOUkrkcjlDugoeOXIEFy9eLPkYWxPIqrRFNwotxBs3bmzW6hCZZmRkBO+88w7m5uYgpcShQ4fU6RmcTiev7hNp+Hw+BAIB+Hw+zM7Osps6NQVDWBsTQhhW+W2pAzhbwsiqtNtmNptt4poQmUsIgdnZWXX5O9/5jtr11u/34/7772/SmhFZTzAYxH333QcAOHfuHF599VX1MV6woEZhNQWqSLmdks1mY4lvsixtCNOPlSRqJ/ruh9qxj7xQRlReMpksWmZLGDUKQxhVxOPxlLyfB3eyMoYw6hRut7tssQHup4nK03ZFBDjEghqHIYwqUq4ljDsrsjKGMOok5YpxMIQRlacfDyaEaOLaUCfhnrkNnT59GqlUCk6nE8FgEAMDA3W/J0MYtSJ9CJubm8N3vvMdOJ1OuFwuXHvttZzQltpGOBzG5cuXF93PEEZUnrY7IseDUSNxz9yGTp06hfn5eQDAypUrTQ1hPLiTlelDWDKZRCwWU+9jsQ5qJ2wJI6rc+Pg4zp07V3ThguPBqJG4Z25D2m5XRrVUlRsTxpYwsjLtyWcul1s0AJvbL7WTciGM2znRYrFYDOfPn1eX77333iUncSYyGseEtSFtVSyjDr4Oh6NkP2ke3MnK9C0A8Xi8aJlXPamdlCvOwZYwosX0EzbHYjFWe6aGYghrM1JKU0KYEKJkaxgP7mRly4UwXkSgdlOqNYz7aaLF9Bcs9McHIrMxhLUZ/RgXI08y9ePCurq64Pf7DXt/IqPpr2pqx4MBDGHUfhjCiCpTqiWMqJG4Z24z2lYwwNiDrzaEhcNhHD582LD3JjKD2+1GIBCAw+GAw+FYNF6SpYip3TCEEVXG4XDA6XSq501sCaNG4565zehDmJFX+ru7u5HNZuF2uxEKhQx7XyKzDA4O4r777lOXX375ZfV7jgejdsQQRlQ5KaX6/ZkzZ7B9+/ZFLWREZuGeuc2YGcKuu+46w96LqBnMGC9JZCVutxt33XUX3nzzTaTTaWQyGc59RFRGLpcrWo5EIgxh1DAMYW1G290K4IkmkVYqlVK/Z0sYtavu7m7cdtttzV4NIsuz2+1FQYzHBWokFuZoM2aOCSNqdWwJIyKiAv3QCh4XqJF4ht5mzOyOCABTU1M4ceIEnE4nHA4Htm7dyskNqWWwJYyIiAquu+46PPvsswCAQCDArojUUAxhbcbsEBaNRnHlyhV1edOmTYa+P5GRcrkc3n77bWQyGWQyGSQSCfUxXvEkIupsfX19uOmmmzAzM4P169ezYi41FENYm+nv78euXbvUAdlGdkdMpVJF1eUAdnckaxNC4P3331eXt2zZgi1btiCVSjGEERERhoeHMTw83OzVoA7EM+g2Ew6HS5YoNkKpK0Q8kSUrE0IUzQ8mpYTX62WXEyIiImoqFuagipVq9WJLGFmddhvVVw8lIiIiagaGMKpYqZYw9p8mq2MIIyIiIqthCCOitsYQRkRERFbDENZmpJTNXgUiS7Hb7er3IyMjGBkZwdTUFLLZbBPXioiIiDoZB/S0maeeegqxWAwOhwOrVq3Cnj17DH3/Xbt24c033wQAbNy40dD3JjKDftzid77zHQDAgw8+yAIdRERE1BQMYW2mUJq+8GW0zZs3w+12I5PJYP369Ya/P5HRyhWP4WTNRERE1CwMYW1GO1mzGeXjhRBYu3at4e9LZJZSIcxms8FmY29sIiIiag6ehbQRKWVR6xfLxxOV/hw4nU5W9iQiIqKmYQhrI/ruh5xImah0CGNXRCIiImomhrA2ou2KCDCEEQHlW8KIiIiImoUhrI2wJYxosZUrV+L6668vuo8tYURERNRMDGFtRN8SxjFhREB3dzfWrVsHv9+v3scLFERERNRMDGFthN0RicrTfj7YEkZERETNxBDWRhjCiEqTUiKVSqnL/GwQERFRMzGEtRGOCSMqTf/ZYEsYERERNRNDWBvhmDCixaSUSCQSRffxAgURERE1E0NYG5FSwma7+i/liSYRMD8/j29+85tF9wUCgSatDRERERHAppI2cs011+Caa65BLpdDOp2GEKLZq0TUdPoW4f3792PFihVNWhsiIiIitoS1JZvNBrfb3ezVILIEfQjTjw8jIiIiajSGMCJqa/oQls1mm7QmRERERAqGMCJqa9pxkgBbwoiIiKj5OiKECSH6hRAfE0L8vRDitBAiIYSICiHeFUL8sRBiU7PXkYjMIYQoag1jCCMiIqJm65TCHFdQ/LtGALgAbM1/fVQI8WNSyi82Y+WMcvr0aeRyOTidTgSDQfT29jZ7lYgsQRu8Tp48id27dzdvZYiIiKjjdUoIcwB4AcCfA3hKSjkqhLADuAHAHwPYDeBzQohjUsq3mrea9Xn33XcRj8cBAOvWrWMIIyIiIiKyoI7ojgjgNinlbVLKz0kpRwFASpmVUn4XwN0AxqEEtV9o5krWSztZM+cIIyIiIiKypo4IYVLKF5Z4bALAk/nFfY1ZI+NJKYu6XDGEERERERFZU0eEsApM5W/tTV2LOuiLDTCEEV114MAB9fuDBw82cU2IiIiIOmdM2HJuy9++09S1qIO2KyKweG4kok62du1a9PT0QAiBQCDQ7NUhIiKiDtfxZ+pCiA8C2J9f/H/NXJd66EMYW8KIigWDwWavAhERERGADu+OKIQYBvBn+cWvSim/uczzf1II8ZoQ4rWJiQnzV7AKDGFERERERK3BsiFMCPFrQohMjV+/VcH7BwB8BcAKAOcBfHS510gp/0xKuV9Kub+/v7/u39FIHBNGRERERNQarNwd0YbaC2Us+TohhAfAP0HphjgB4B4p5WSNP8sSOCaMiIiIiKg1WPZMXUr5CQCfMPp9hRAuAP8A4A4AswDullK+Z/TPaTR2RyQiIiIiag2W7Y5oBiGEA8AXATwAIALgfinl0aaulEEYwoiIiIiIWkPHhDAhhA3AZwE8CiAO4GEp5UvNXSvj6MeEsTsiEREREZE1dcSZuhBCQKmC+IMAUgAelVI+29y1MtaKFSsghEA6nUYul4PyKxMRERERkdV0RAgD8Cko1Q8zAD6yXCn6VtTf3w+rVWwkIiIiIqLF2j6ECSHWAPj5/KIE8BkhxGfKPV9KOdiI9SIiIiIios7U9iEMxePenAAGmrUiREREREREbR/CpJTnAHCAFBERERERWULHVEckIiIiIiKygrZvCesUTz75JDKZDJxOJ9auXYvt27c3e5WIiIiIiKgEhrA2kUgkkM1mkUwmF03cTERERERE1sHuiG0gl8shm82qy5yomYiIiIjIuhjC2kAmkyladjqdTVoTIiIiIiJaDkNYG9B3P2QIIyIiIiKyLoawNsAQRkRERETUOhjC2oC+OyLHhBERERERWRdDWBtgSxgRERERUetgCGsDDGFERERERK2DIawNMIQREREREbUOhrA2wBBGRERERNQ6GMLagL4wh91ub9KaEBERERHRchjC2kA2m1W/dzqdEEI0cW2IiIiIiGgprGXeBnbt2oVrr70WmUxmUasYERERERFZC0NYm7DZbHC5XHC5XM1eFSIiIiIiWgK7IxIRERERETUQQxgREREREVEDMYQRERERERE1EMeEtYHTp0/DZrPB6XQiFAohFAo1e5WIiIiIiKgMhrA28Oabb6pl6rds2YJdu3Y1eY2IiIiIiKgcdkdscblcbtE8YUREREREZF0MYS0unU4XLTOEERERERFZG0NYi9NPzuxwsIcpEREREZGVMYS1OLaEERERERG1FoawFscQRkRERETUWhjCWhxDGBERERFRa2EIa3H6EMYxYURERERE1sYQ1uL0hTnYEkZEREREZG0MYS2O3RGJiIiIiFoLQ1iL04YwIQTsdnsT14aIiIiIiJbDENbitCHM4XBACNHEtSEiIiIiouWwikOLGxwchMPhQDqdhs3GTE1EREREZHUMYS1u5cqVWLlyZbNXg4iIiIiIKsSmEyIiIiIiogZiCCMiIiIiImoghjAiIiIiIqIGYggjIiIiIiJqIBbmaHFf//rXYbPZ4HQ6sWHDBmzcuLHZq0REREREREtgCGth2WwW8XhcXU4mk01cGyIiIiIiqgS7I7awTCZTtOx0Opu0JkREREREVCmGsBaWTqeLlhnCiIiIiIisjyGshTGEERERERG1HoawFqbvjuhwcIgfEREREZHVMYS1MLaEERERERG1HoawFsYQRkRERETUehjCWhhDGBERERFR62EIa2EMYURERERErYchrIVpC3MIIWCz8d9JRERERGR1PGtvYdqWMKfTCSFEE9eGiIiIiIgqwRDWwvQhjIiIiIiIrI8TS7WwAwcOYO/evUin08jlcs1eHSIiIiIiqgBDWAsTQsDpdLIVjIiIiIiohbA7IhERERERUQMxhBERERERETUQQxgREREREVEDMYQRERERERE1EEMYERERERFRAzGEERERERERNRBDGBERERERUQMxhBERERERETUQQxgREREREVEDMYQRERERERE1EEMYERERERFRAzGEERERERERNRBDGBERERERUQMxhBERERERETUQQxgREREREVEDMYQRERERERE1EEMYERERERFRAzGEERERERERNRBDGBERERERUQMxhBERERERETUQQxgREREREVEDMYQRERERERE1EEMYERERERFRAwkpZbPXoSUJISYAnG/2euT1AZhs9kpQS+M2RPXiNkT14jZE9eI2RPUyYxtaK6Xs19/JENYGhBCvSSn3N3s9qHVxG6J6cRuienEbonpxG6J6NXIbYndEIiIiIiKiBmIIIyIiIiIiaiCGsPbwZ81eAWp53IaoXtyGqF7chqhe3IaoXg3bhjgmjIiIiIiIqIHYEkZERERERNRADGFEREREREQNxBBGRERERETUQAxhLUoIMSiE+AMhxGkhREIIMSaE+JoQ4s5mrxs1lxAiKIR4WAjxX4UQ3xBCTAohZP5rawWvdwkhflkIcVQIERFCzAohXhJC/KQQQjTid6DmEkKsEUL8fH6fckEIkRRCLAgh3hRC/LYQYmiZ13MbIggh9uf3Q98UQpwSQszlt6XLQoh/EkI8sszruR1RESFEQAhxUXNMe3yJ53L76XBCiMc120q5r8gSrzd1G2JhjhYkhLgOwDMAevN3zQMIQAnVEsCvSil/u0mrR02WP7H5cpmHt0kpTyzx2hCUbWtf/q4YAAcAV3756wA+JKXMGLO2ZDVCiNUAzgPQHmDmAfgB2PPLMwAek1I+W+L13IYIACCE+FMAH9PcFYGyLXg09/0jgB+QUqZ1r+V2RIsIIX4fwM9p7vo3Usq/LPE8bj+EfEj/fwDSAKbLPC0qpdxY4rWmb0NsCWsxQggvgK9CCWBvANgppewCEAbwe1BOnD4phLi7eWtJFjAO4EkAvwHgJ6t43f+BssOZBvAQlHDvA/A4gASAB/PvSe2rELSeAPCvAPTk9zE+APcDOAtlf/MVIcRgiddzG6KClwD8ApTtISilDEopvQDWAPif+ec8BuBXSryW2xEVEULsBfBxAC9X8HRuP6T1opRysMzXogCWZ/42JKXkVwt9Afh5KK1dCwCGSzz+5fzjR5q9rvxq2jZi1y2vy28TEsDWJV63R/O8h0s8/nP5x2IAVjT79+SXadtPF4BdSzy+FUA8vy38uu4xbkP8qvgLwF/lt4fTuvu5HfFL/z+3AXgVQEa3fTxe4rncfvhV+F8/nv9fP1fl6xqyDbElrPX8UP72C1LKyyUeL1xd3FvJ+B9qP1LKbI0v/cH87XtSyq+WePzPAMwB8AJ4tMafQRYnpZyTUr65xOMnAHwvv7hP9zC3IarGq/nblbr7uR2R3s8A2A/gf0sp31jmudx+qF4N2YYYwlqIECKIqyc9/1zmad+DsmEAwB2mrxS1k0P526dKPSiljAP4l/wit63ONpW/tevu5zZE1bgpf3tWdz+3I1IJIYYB/FcAYwD+cwUv4fZD9WrINsQQ1lq24epg+WOlniClzAF4L7+4vRErRa0vX+Wn0HJactvKO56/5bbVoYQQDgA35xff0dzPbYiWla9ud50Q4k8AfF/+7j/WPM7tiPT+CEAQwC9JKeeWeiK3HypjhxDimBAinq/0+44Q4tNCiPX6JzZyG3LU+kJqCm1Z6CtLPK/w2JJlpIk0QlCq3wHctmhpPw1gEEAOwOc093MbopKEEKsAXCzxUALAf5dS/i/NfdyOSCWEeAjAh6CM6fnrCl7C7YdK6YNS0G4GyjayI//1MSHEj0spv6B5bsO2IbaEtRa/5vv4Es+L5W8DJq4LtRduW7Ss/PQY/z2/+MdSSu1VQm5DVE4WSleyMQCp/H0ZAJ+EphUsj9sRAQCEEH4o20caysWfSnD7Ia0rAH4dwE4AHillL5T/+QNQWrK8AD4nhLhV85qGbUMMYa2FkwuSWbTbFicPpEXyEzR/BUqJ3iMA/oP+KZrvuQ2RSko5IvPloKGc9FwDpRX1NwAcFULs0Dyd2xEV/CaU6Qw+LaU8vtyT87j9kEpK+ZSU8jellMeklKn8fUkp5ZNQxqSegjK2WTu3bsO2IYaw1qKd1du7xPN8JZ5PtBTttuIr+yxuWx1JCNEDZYDyegAnATwgpUzonsZtiJYlpcxJKd+XUn4UwKegnGT/tRCicD7C7YgghNgNpQz4RShhrFLcfqgi+fGFhZ4dNwgh+vPfN2wbYghrLdq+qfqSvijx2IiJ60LtZR5ANP89ty1SCSG6oFRj3QngAoDDUsqxEk/lNkTV+qP87W4o8/IA3I5I8QdQWij+E5RaCQHtl+Z57vx9hRNibj9UjcLE3wLKnKpAA7chhrDWcgJXm0Z3lHpC/mriNfnFSpvvqcNJZfbBd/OLJbetvEIVIG5bHSA/JuNJKPPzjEIJYBdKPZfbENVAO9flRoDbEanW5m8/B2ChxFfBn+aXjwPcfqhqi7oeNnIbYghrIVLKBQCv5RfvKvO0gwC68t8/bfpKUTt5Nn9bctsSQngAfCC/yG2rzQkhvAC+BqXf/BSUAHZymZdxG6JqaMtDa7v0cDuienD7oUod0Hx/XvN9Q7YhhrDWUyij+UP5gfJ6v5S/PSKlfK/E40TlfDF/u1UI8WCJx38CSsCPA/hyw9aKGk4I4QLwJSgTVs4CuFtXCbEcbkMEABBC2PPz7Szl3+dvMwBe0tzP7ajDSSnXSSlFuS/NU/9N/r51mvu4/RCW2/8IIUIAfiW/+IqUckLzcEO2IYaw1vMZKGk9CODrQojtACCECAohfgfAo/nn/WqT1o8sQAjRV/gCENY81K19TDMYHlLKNwD8XX7xL4UQ9+ffyy6E+BEA/yP/2KellOON+D2o8YQQdigXe+6F0s3nPinl65W8ltsQaawG8JoQ4sfy84QBULrMCyF2CyE+D+DH83f/kZRypvAcbkdUD24/lLdWCPE9IcRHhRBrCncKIVxCiHsBfBfAFihzXv5H7QsbtQ0JpesjtRIhxC4ozZ+9+bvmocxTYIPSp/VXpZS/Xebl1AGEEJV+sNdLKc9pXhcC8AyAffm7YlAGR7vzy18H8CEpZcagVSWLyc+X8nx+MQFgbomnX5RSXq97PbchghBiHYCzmrsSULocBnF1WwCAvwTwE/rtgdsRLUVzjPs3Usq/LPE4t58OV2YfFIUyGbMzf18MwE9JKf+qxOtN34bYEtaCpJRvQqlU9ocAzkDZIKYAPAHgLgYwqpWUch7KGKBfAfAmlFCfBPA9AB8D8DAPWm1Pe1zwABhY4qtf/2JuQ5R3BcD3AfgzAEehhPluKBPvHgfw5wBukVL+m1LbA7cjqge3H4IyOfzPQmnReg9KiOrK374GpTVre6kABjRmG2JLGBERERERUQOxJYyIiIiIiKiBGMKIiIiIiIgaiCGMiIiIiIiogRjCiIiIiIiIGoghjIiIiIiIqIEYwoiIiIiIiBqIIYyIiIiIiKiBGMKIiIiIiIgaiCGMiIjIAEKI24UQUghxrsRjz+Ufe7zxa0ZERFbjaPYKEBFRexJC+AD8KID7AewC0AdAAhgHcATAVwD8o5Qy3qx17FRCiHUAHgcwK6X8/aauDBFRB2JLGBERGU4I8RCA0wD+F4AHAawGkAOQBbAOwGMA/grAKSHEHU1azUa6AOA9AHPNXpG8dQB+HcDPN3c1iIg6E0MYEREZKt/l7isABqEEjx8G0CelDEgpQwC6AXwYwHMAVgK4tRnr2UhSyh+RUm6VUn652etCRETNx+6IRERkGCHEdQD+FMpFvicBfFjf3VBKOQfgHwH8oxDiI1BayYiIiDoGW8KIiMhIvwXADeAygB9cbryXlPLvAHxKe58Qwi2E+EUhxMtCiDkhRFwI8Z4Q4lNCiMGl3k8IMSCE+D0hxAkhRCz/+leEEP9OCOEu85q/zBfN+ET+Z/8nIcRbQoiF/P3dmud2CSF+VwhxVgiREEJcFEL8HyHEqmXWq2RhDn0xDyHEzUKIrwshJvO/95tCiI8LIUSZ992Q/92e1qzTrBDie/n7vSVecw7As/nFtfmfr/16vMRrdgoh/kL3M74rhPgpIYRzqd+diIgWY0sYEREZQggxDOCB/OIf5lu8liWllJr36AfwzwD25O9KAkgB2JL/elwIcb+U8nslfv4BAN8A0JO/awGAC8D1+a8fFkLcLaUcL7MqHgAvADgAIA0gpnv/ofzjm/J3JaB0rfxxAB8E8B8r+X3LyYef/wvlAul8fn2uA/BH+Z/58yVe9ncA9uW/l1DGnHUBOJj/+n4hxB1SygXNayYAhACEoYzTm9C9Z1FwFkJ8HMAf4OqF2yiAAICb8l/fJ4R4QEpZ9PciIqLy2BJGRERGuR1AocXmqzW+x+egBLAZAB8B4M+PI7sewNtQgsNXhBB92hcJIcJQxqH15J93IP+6AIB/lX+/XQA+v8TP/mkoQe/7AQSklN1QClhE849/FkoYmoQSuvxSyiCUMW3zAH6vxt8ZAPoBfAbA/wYwlP/ZYSgBDAB+Vgixo8Tr3oASzjYB8EgpwwC8AB4G8D6A/QB+W/sCKeX1AB7NL16UUg7qvv628FwhxAfz6xAH8KsABqSUgfzPuBvKmL/bAXy6jt+diKjjMIQREZFRtuVvk1BOzqsihPgAgHvziz8opfx7KWUWAKSUrwG4C0qYGgDws7qXfxzAEIBZAHdLKV/Nvy4rpfwHKMEKAA4vUY0xAOD7pJR/K6VM5V9/XkqZzq/bXfnnfURK+VUpZS7/nH/Jr7en2t9Zwwfgc1LKn5FSjuXfd1ZK+bNQQqWAUlGyiJTyJ6SUfyClPK1Z56SU8msA7gOQgdJ66Kt2hYQQdigtYADww1LKTxZaEaWUaSnlt/I/Iwrgx/IthUREVAGGMCIiMkpv/nZG28WwCh/O374mpfym/sF8OPnT/OJHyrz2/0opR0u89ikAL5V5bcFb+ecttW7fk1I+q39QSnkKwN/q76/SJ8vc/0/5253VvJmU8gyAY1AC3u4a1ud2AGsBnCtX1VFKeRbA96AMb7i9hp9BRNSRGMKIiMgq9uZvF4UcjWfyt1uEEH4AEEK4cDWgVPLavWUef6nM/drXPL/Ec5Z6bDnT+dBUyuX8bbjUg0KIu4QQXxRCnM4XI1GLbEDpggkoUwFU66bCa4UQo+W+ANycfx6rXBIRVYiFOYiIyChT+duwEELU0BrWn7+9vMRzLuVvBYA+KF3henD1omIlr+0v87i+QEWpdbuyxHOW+tnLWVjisUT+dlEVQiHEHwL4Gc1daQDT+VtA+ds4AfhrWKdC90IXlC6gy6m6yyMRUadiSxgRERnl3fytG8A1dbxPyVLyDXhtto7XAleLkjSEEOI+KAEsC+ATUIpzuKWUvYUiGwBermPdCucIX5ZSigq+PlHnr0RE1DEYwoiIyCjPQymTDijV+apVaIlau8RzCvNxSShVCgGl5SdXxWuXavFabt2W6tbX6MIU/yp/+3+llL+RL86hb32spAWrnLH87fY63oOIiEpgCCMiIkNIKS8BeDK/+DNCiFAlr9NMRPx6/va2cpMTAyhUNnxfShnN/9wUgHfy9x9a4kcVXvv6Es8pp/CaW5d4zm01vG89CqHyjVIPCiHW4uqcZnqF0LpUC1lhjNw1ZcrjExFRjRjCiIjISP8ZSon6VQC+IIRYsmy7EOIjAH4xv/gP+dsdUObh0j93AMBP5Rf/Tvdw4bWPlyqVLoS4G8CNZV5bib/P394ohFgUxIQQGwB8Xw3vW4/CZNjXlnn8v6N8yJrP33Yt8f5PA7iQ//7T+ZL1JeXnaSMiogoxhBERkWGklEehTHosATwA4A0hxL8WQvQUniOE6BJCPCqEeBZKWfdg/rX/AqBQmv4vhBAfLpz4CyH2AXgKSoXAMVydv6rgjwGMQJlE+JtCiP3519mFEI8B+Jv8874tpXwGVZJSfgfAt/KL/yCEeFAIYcv/jJvz652s9n3rVFifjwkhfixfJRJCiDVCiM8C+AEo86qVchJK8Y6u/N9nESllGsqYMwlljrSnhBAHC62UQgiHEGKfEOK3AZSr7EhERCUwhBERkaGklH8O4FEA4wC2AvgrAFNCiAUhxDyUCZX/Ecq8UudxtXQ8APwIgKNQwtbfA4jkX/MagOughIoPSSmnNK+BlHIGwCP5x68D8Gr+dREorWRhAG8B+KE6frUfBXAKSqXEr+XXbQHAdwB0A/h3dbx3Lf4SV+fo+nMAMSHEDJS/6Y8A+HUov/Mi+a6cX8wv/oMQYlYIcS7/9WHN874K4KMAUlC6c34v/3MmoVRtfA3Af4Dy+xMRUYUYwoiIyHBSyq8A2AClVexJKOXhHfmvc1CC0Q8CuEZK+YLmdRNQug3+Oygn+GkoJdJPAvh9ADuklCXn85JSvgKliMSnAbwPpTR7Jv8+/x7AQSnleB2/0wiA6wF8CkrQsUPpEvjnUOYRO13re9e4PikAhwEUWqJyUH7fbwF4SEr5X5d5i5+CMkH0e1CqSq7NfwV0P+f/Qal2+ftQJn/OQOnGOAVlXrZfArDOgF+JiKhjiOqncSEiIiIiIqJasSWMiIiIiIiogRjCiIiIiIiIGoghjIiIiIiIqIEYwoiIiIiIiBqIIYyIiIiIiKiBGMKIiIiIiIgaiCGMiIiIiIiogRjCiIiIiIiIGoghjIiIiIiIqIEYwoiIiIiIiBro/wfMLF5PKv/BdQAAAABJRU5ErkJggg==\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -905,10 +828,8 @@
},
{
"cell_type": "code",
- "execution_count": 25,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 75,
+ "metadata": {},
"outputs": [],
"source": [
"def hinge_loss(z):\n",
@@ -922,29 +843,29 @@
},
{
"cell_type": "code",
- "execution_count": 26,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 76,
+ "metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "[]"
+ "[]"
]
},
- "execution_count": 26,
+ "execution_count": 76,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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/GKd9IanQ/z2/QImQd8rAzvrLlIkKDzNelvmfDfrrx+sctgIAAE3VLIPbGBMh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\nvnVEv8aa2Rozqw6utrDazO4ysxHtaCuqojq/OkLOzC8zK1D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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -956,10 +877,8 @@
},
{
"cell_type": "code",
- "execution_count": 27,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 77,
+ "metadata": {},
"outputs": [],
"source": [
"def hinge_subgradient(z):\n",
@@ -975,29 +894,29 @@
},
{
"cell_type": "code",
- "execution_count": 28,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 78,
+ "metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "[]"
+ "[]"
]
},
- "execution_count": 28,
+ "execution_count": 78,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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eAOjE6iqsiXngGZcADwB0YbV8JklOCfAMSoAHALqwYwQekgjwAEAn1gO8GnhG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\nJWRt/d8AAAAASUVORK5CYII=\n",
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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -1008,10 +927,8 @@
},
{
"cell_type": "code",
- "execution_count": 29,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 79,
+ "metadata": {},
"outputs": [],
"source": [
"m, n = 1000, 100\n",
@@ -1025,19 +942,19 @@
},
{
"cell_type": "code",
- "execution_count": 30,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 80,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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KJC2S9FHoY5GkEmPM340xg1r6fRAtJzNd7bPrciPDKwAAL2tR6DDGfF/SXEkXSWovyUR8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\n1tqafTy0JefoeEldFQwV98Ro01xJ74U2L4i8vz6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+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -1054,18 +971,16 @@
},
{
"cell_type": "code",
- "execution_count": 31,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 81,
+ "metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "(1.0714422960045327, 0.88151010653237649)"
+ "(1.0714422960045327, 0.8815101065323765)"
]
},
- "execution_count": 31,
+ "execution_count": 81,
"metadata": {},
"output_type": "execute_result"
}
@@ -1086,10 +1001,8 @@
},
{
"cell_type": "code",
- "execution_count": 32,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 82,
+ "metadata": {},
"outputs": [],
"source": [
"def accuracy(A, y, x):\n",
@@ -1098,20 +1011,21 @@
},
{
"cell_type": "code",
- "execution_count": 33,
+ "execution_count": 83,
"metadata": {
- "collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
- "image/png": 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EaVN3ZYIgOiack5eQIAhCSnM/F0lBIBpMriRJOdTXDYyxFj1+nwhfqCSHPEMK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\nkqS2/wfXHN7wPZhwAwAAAABJRU5ErkJggg==\n",
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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -1165,10 +1079,8 @@
},
{
"cell_type": "code",
- "execution_count": 34,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 84,
+ "metadata": {},
"outputs": [],
"source": [
"import autograd.numpy as np\n",
@@ -1179,10 +1091,8 @@
},
{
"cell_type": "code",
- "execution_count": 35,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 85,
+ "metadata": {},
"outputs": [],
"source": [
"def sparse_inv_cov(S, X, alpha=0.1):\n",
@@ -1193,10 +1103,8 @@
},
{
"cell_type": "code",
- "execution_count": 36,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 86,
+ "metadata": {},
"outputs": [],
"source": [
"n = 5\n",
@@ -1216,10 +1124,8 @@
},
{
"cell_type": "code",
- "execution_count": 37,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 87,
+ "metadata": {},
"outputs": [],
"source": [
"def projection(X):\n",
@@ -1231,19 +1137,19 @@
},
{
"cell_type": "code",
- "execution_count": 38,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 88,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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R9fvdevy9PQ5VBADxgdABdJDkMvrexcd26n9/N/dkAYBQEDqAIM6akq8zp+QH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\nR2sbVVbdu8tnG5tb9fqWYu0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V2z9Ee13+frGi7FmMDLx3wLH7cSKNs/LTXOcn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\nQmCC\n",
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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -1269,10 +1175,8 @@
},
{
"cell_type": "code",
- "execution_count": 39,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 89,
+ "metadata": {},
"outputs": [],
"source": [
"x0 = np.random.normal(0, 1, 1000)"
@@ -1280,10 +1184,8 @@
},
{
"cell_type": "code",
- "execution_count": 40,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 90,
+ "metadata": {},
"outputs": [],
"source": [
"def f(x):\n",
@@ -1292,7 +1194,7 @@
"def optimizer(steps):\n",
" \"\"\"Optimize a quadratic with the given steps.\"\"\"\n",
" xs = gradient_descent(x0, steps, grad(f))\n",
- " return f(xs[-1])"
+ " return f(sum(xs)/len(xs))"
]
},
{
@@ -1304,10 +1206,8 @@
},
{
"cell_type": "code",
- "execution_count": 41,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 91,
+ "metadata": {},
"outputs": [],
"source": [
"grad_optimizer = grad(optimizer)"
@@ -1315,10 +1215,8 @@
},
{
"cell_type": "code",
- "execution_count": 42,
- "metadata": {
- "collapsed": true
- },
+ "execution_count": 92,
+ "metadata": {},
"outputs": [],
"source": [
"initial_steps = np.abs(np.random.normal(0, 0.1, 10))\n",
@@ -1327,19 +1225,19 @@
},
{
"cell_type": "code",
- "execution_count": 43,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 93,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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AgCwgrEQcfVYAAGFHWIkiOq0AACKEsBJBCRMZ0rACAAi5wuGeaGaf8N/+wjm3P0vlQRYk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\npjiUehyam/3XM/xFog5jbpL3pNm/yuv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\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -1356,29 +1254,29 @@
},
{
"cell_type": "code",
- "execution_count": 44,
- "metadata": {
- "collapsed": false
- },
+ "execution_count": 94,
+ "metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "[]"
+ "[]"
]
},
- "execution_count": 44,
+ "execution_count": 94,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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q2lVVleRB3wxoawPLdIiIiIxSf1wL+CvmpSM1Mc7A2ZhHoL8LiwHYpzpJKfUX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+ "image/png": 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ZUP8DBWu6f8HMPmdm/RIPmlmBmb1bwbj0kxWMTf9Jn1TaN6zrJl1z91vdfba7zx4+fHhfnDLnnDZ5qCYOLY9v37tskxqZMAsAAJASSYV6d98o6SoFPfA/lLRb4UWhzGy5pL2SFipY9vKwpAXuvqsvC+6lxOU3yzppF0ujHS3XiS6YmS5PWN5yx4HDevK1HRFWBAAAkLuSvqKsuz8g6XQFV4wtl1SkoAf8FAUTY01BT/3p7t7RCjNRSRxHP6aTdrFjVSmsJed9aNY4FRe2fDhyD2vWAwAApERRTx7k7ssknW5mkyXNVzChtEDSdkmL3f31zh4fodcUfMpgkk5Qyyo3cWZWoJa19V9JX2m5Z9iAfjrv+JF6ZNU2SdLfXt+hLftqNbaysw9JAAAAkKyke+oTufs6d/+Nu/+3u3/P3W/P4EAvdz+gljX2z+ug2TxJg8Kvn0h5UTku8QqzzS7dR289AABAn0sq1JvZUeGtpJvtx5rZUV23TKu7wvsrzay9JStvCO9XZPIblGzxtinDNH5IS8/8fcs3qam5y8scAAAAIAnJ9tRvkLRe0uJurlW/XNK6ZIuKMbNhsZukwQmHKhOPhUNmYo+ZaGYe3q5u57S3SNqoYPz/w2Z2fPi4CjP7vqQPhu2+0tO60aKgwHR5whVmq6rr9PQbTJgFAADoSz0ZfmMKlqtcZmZv62b7ntqZcFuZsH9xm2Pd/jTA3WslXahg5Z5TJK02s2pJ+yR9QcGY+y+7+2O9qBsJLpk1ToUFLT8Gdz3HEBwAAIC+1JNQv0/SM5JGSnrCzD7epxWlgbu/KGm6pB8r+CShn4KQv1DSee7+3QjLyzkjBpbqHceNiG8/+dp2bauui7AiAACA3NKTUF8n6VxJt0oqkXSLmf3EzAr7tDJJ7m7dvG1IeMyGhP23d3Lube7+eXef4u6l7j7C3S9wdybHpsARE2a5wiwAAECf6dHqN+7e6O7XSfqMpEZJn5b0mJkN6cvikDvePm14q6Us713GhFkAAIC+0tslLW9SsDTkbklnSVpqZif0QV3IMYUFpsvmjI9vb9lXq2fe3BlhRQAAALmjV6Fektz975JmS3pJ0mQFK+Nc2NvzIvdcOnu8EubL6u6lb0VXDAAAQA7pdaiXJHd/S8GVZe+XNEDS783sP9S7lW+QY0YNKtU5x46Mbz/+6g7t2M+EWQAAgN7qk1AvBUtFuvtlkv4j3PV1SSM6fgTy0RXzWobgNDW77l+xOcJqAAAAckOfhfoYd/+WpIskHejrcyP7nXn0CI0eVBrfvmfZW2pmwiwAAECvJBvqJ0ma21Ujd39I0hxJ10j6aA/qQo4qLDBdOrult37Tnlo9u3ZXhBUBAABkv6RCvbtvdPdujZdw9zfd/f/c/f96Vhpy1aVzWk+YvWcpa9YDAAD0Rp8PvwG6MrayTGcd0zLd4i+rt2nngcMRVgQAAJDdijo6YGYfDr+sdvcH2+xLirvf0ZPHIXddPme8nnxthySpsdn1+5Wbdd2ZUyKuCgAAIDt1GOol3S7JJb0u6cE2+5JFqEcr5xw7QiMq+mlH2EN/z9K39MkzJsuMVVABAACS1Vmo/7uCAP9WO/uAXikqLNBlc8brJ0+ukSRt2F2jxet2a/6UYRFXBgAAkH06DPXuflZ39gE9dens8frpU2vk4dvEu5duItQDAAD0ABNlEZnxQ8r19mnD49t/eXmbdh9kwiwAAECyCPWI1BVzW9asr29q1gMrt0RYDQAAQHZKKtSbWamZHW1mR7VzrNzMvmdmS8zseTP7jpkN6LtSkYvOPW6khg3oF9++e9lbcmfaBgAAQDKS7an/pKRXJX0lcaeZFSqYRHuDgivOnijp3yQ9bmadTcZFnisuLNCls8fFt9ftPKSl6/dEWBEAAED2STbUvzu8v7PN/sslnSKpTtJ3JX1N0n5JcyRd25sCkfsumzO+1fbdS9/qoCUAAADak2yoPzq8f7HN/gUKlrr8D3f/irt/U9LHJZmCwA90aMLQ/jp9asuqN4+8vE37auojrAgAACC7JBvqh0va7+4HYzvMrEDSGeHmbxLaPiipWdL0XlWIvLBgbss0jfpGJswCAAAkI9lQXyKpX5t9MyQNkPSqu++I7XT3Rkn7wmNAp847fqSG9i+Jb9+9lAmzAAAA3ZVsqK+S1M/MpiTsuyC8f6ad9v0l7e5JYcgvJUUF+tCslgmzb+44qBUb90ZYEQAAQPZINtTHgvv/mNkwM5sp6bMKxtM/mtjQzKYp6NXf2usqkRfaTpi9iwmzAAAA3ZJsqP+BpEZJ75O0XdLzkkYoWOby4TZt3xveP9ebApE/Jg8foNMmD41vL3ypStU1DRFWBAAAkB2SCvXu/pKkiyRtULCyjUt6StL73L25TfPYUpaP97JG5JHLE64we7ixWX98gQmzAAAAXUm2p17u/oi7T5E0UtIAdz/X3dcntgkvOHWlpJMlLeyTSpEX3nXCKA0uL45vM2EWAACga0mH+hh33+nudR0ca3T3F8MbC46j20qLC3XxKS0TZl/bdkDPb9oXXUEAAABZoMehHkiVyxPWrJeke5gwCwAA0ClCPTLO1BEDNHfikPj2Qy9WaX8dE2YBAAA6QqhHRlowr2XCbG1Dkx58gZVRAQAAOkKoR0Z6z/TRGlSWMGH2OSbMAgAAdIRQj4xUWlyoD54yNr79StV+rdpSHWFFAAAAmYtQj4y1oM2E2buZMAsAANAuQj0y1tEjKzRrwuD49oMvbNXBw40RVgQAAJCZCPXIaIm99TX1TXroRSbMAgAAtNWrUG9mM83sajP7Qni72sxm9lVxwPkzRquitCi+zRAcAACAIxV13eRIZna5pP+UNLWD429I+rq739uL2gCVlRTqopPH6o7FGyVJL22u1stbqjV97KCIKwMAAMgcSffUm9mPJP1W0jRJJmmbpBWSVkqqCvcdI+musC3QK5fPYcIsAABAZ5IK9Wa2QNJnFQT3/5N0tLuPdfe57j7H3ccpCPu/Dtv8c9irD/TY8WMG6qTxlfHtB1/Yqpp6JswCAADEJNtT/1lJLukH7n6Nu69p28Dd17r7xyT9t8Jg3/syke+uSJgwe/Bwox5+sSrCagAAADJLsqF+hqRmSd/qRttvh21PTLYooK0LThytAf1apoDcxRAcAACAuGRDfYOk/e7e5aU9wzbV4WOAXikvKdKFJ42Jb7+waZ9erdofYUUAAACZI9lQ/6KkQWY2vKuGYZtKSc/3oC7gCG2vMHsPvfUAAACSkg/1/xs+5nvdaPtdBWPq/zfZooD2TB87SDPHtSxl+cDzW1Rb3xRhRQAAAJkhqVDv7g9Jul7SlWb2qJmdYWbxgc5mVmRmbzezRyRdKel6d1/YpxUjryUub3mgrlELVzFhFgAAINklLdcpCPUNkt4p6SlJB81ss5ltlnRQ0t8kvStsc72ZrWvntrYvvwnkj/efNEblJYXxbdasBwAASP6KshPb2VciaUw7+/uHt/Z4ks8LSJIG9AsmzN69dJMkacXGvXpj+wEdPbIi4soAAACik2yoPzslVQBJWDD3qHiol4Le+q+974QIKwIAAIhWUqHe3Z9OVSFAd80YO0jHjx6oV8IlLR9YuUVffPexKi0u7OKRAAAAuSnZ1W+AyJmZFsxrmTBbXdugR19mwiwAAMhfPQ714Uo388zsQ2b24b4sCujKhSeNUVlx4oTZTZ20BgAAyG09CvVm9kVJ2yQtknSvpF+3OV5pZqvNbI2ZDet9mUBrA0uLdcHM0fHtpev3aM2OgxFWBAAAEJ2kQ72Z/VbStyUNlrROUmPbNu6+T8HSlpMkXdSrCoEOJA7BkbjCLAAAyF/JrlN/uaQFkqoknebu0yTt6aD5XQquKHthryoEOnDy+EodO6plKcvfr9ysPYfqI6wIAAAgGsn21H9MwRrzn3f3pV20XS6pWdLMnhQGdMXMtGBuS2/93poGXXrLYlVV10ZYFQAAQPolG+pPVhDUH+qqobsfllQtaXgP6gK65aJTxmrkwH7x7TU7DupDNy3W2p2MrwcAAPkj2VA/QNIhd+/uGId+kpqSfA6g2waWFus3H5unUQNL4/u27KvVJTcv1qrN1RFWBgAAkD7JhvqdkirMbGBXDc3sBEnlkjb3pDCgu6aNrNDvPnWaJg/rH9+351C9Lr91sRat3RVhZQAAAOmRbKh/Nry/vBttv6pg/P1TST4HkLRxg8t1/3WnafrYlvebh+qbdPVty/RnLkwFAAByXLKh/icKVrT5hpnNaq+BmQ02s19KukRBqP9p70oEumfogH66+9pTderkIfF99U3N+vRvV+reZSx3CQAAcldSod7dn5X035JGSFpkZk9IGihJZvYDM3tEwXCba8KHfNXdV/dhvUCnKkqLdfs1c/XO40fG9zW79MXfr9LNT6+NsDIAAIDUSfriU+7+RUn/IumwpLMllSnovf8XSe8Ot2skfc7dv913pQLdU1pcqJ9feYounT2u1f7vPvqavvPIq3L3iCoDAABIjaKePMjdf2Rmt0u6WNJ8SaMVvEHYLmmxpPvdvaOLUgEpV1RYoO9dPFOD+5folqfXxfff8vd12ltTr29fNENFhUm/pwUAAMhIPQr1kuTu1ZJuC29AxjEzffk9x2lweYm+++hr8f33Ld+sfTUN+vGCk1VaXBhhhQAAAH0jqa5KMzvDzE5Nov1cMzsj+bKAvnPdmVP0vYtnqMBa9j32ynZd/eulOlDXEF1hAAAAfSTZ8Qd/k/T7JNrfK+nJJJ8D6HOXzTlKP79ylkoShtwsWbdHC36xRLsOHo6wMgAAgN7ryaBi67pJr9oDKfHu6aN0+0fnaEC/llFnL2/Zr0tvXqzNe2sirAwAAKB3Uj1TsEJSfYqfA+i2+VOG6e5rT9WQ/iXxfet2HdKHblqsN7cfiLAyAACAnktZqDezuZKGSNqSqucAemLGuEG6/7rTNLayLL5v2/46XXLLYj3/1t4IKwMAAOiZTle/MbOPSPpIm91DzKyzcfImqVLS8QquKPtobwoEUmHK8AG6/7rT9OHblmrNjoOSpH01Dbryl8/p5qtm6Yyjh0dcIQAAQPdZZxfiMbOvSfpaL87/d0kXuXvOdn/Onj3bly9fHnUZ6KG9h+p19e3L9OKmffF9xYWmH152ki6YOSa6wgAAANowsxXuPru9Y12tU/9HSRti51GwJn21pOs7eUyzpP2SVrv7mmQKBdJtcP8S3fXxebruNyv0zJu7JEkNTa7P3v289tU06KpTJ0RcIQAAQNc67ak/orFZs6Rt7k4XZoie+txwuLFJ/9+9L2rhqqpW+29459H6zNlTZcYiTgAAIFqd9dQnNVHW3QsI9MhF/YoK9eMFJ+uKeUe12v+Dx97QNx9+Vc3N3X/zCwAAkG6pXtISyBqFBaZvfWC6/vnsqa323/bsev3r/S+qoak5osoAAAA61yeh3sw+a2bPm9khM9trZk+Z2YV9cW4gncxMN7zrGP37+ce12v+H57foujtXqK6hKaLKAAAAOtZpqDez2Wa2x8zWmlm/DtrcI+lGSTMllUkaJOlMSQ+Y2Rf7uF4gLT7+9sn6n0tOVGFBy1j6J17boQ//aqmqaxsirAwAAOBIXfXUn6NgzflH3P1w24NmdoWkSxWsjLND0q2Sfihpfbjvm2Z2XNvHAdng4lnjdMtVs9SvqOW/ydINe3T5rUu040BdhJUBAAC01lWoP0PBBaT+0MHxz4f3b0ma7u7Xufu/Spou6XlJhZI+1heFAlF4x/EjdcdH56qiX8vqr69W7dclNy/WW7trIqwMAACgRVehfrKCUP9c2wNmNkzSnPD4N9x9d+yYu9dK+rqC3voz+6pYIArzJg/VPZ88VcMGlMT3bdxdo4tvXqRXq/ZHWBkAAECgq1A/StJ+dz/UzrH54b1Leqid40+E95N7WBuQMU4YM0i/u26+xg0ui+/beeCwLrtlsZZv2BNhZQAAAF2H+v6S2p0gq6CXXpLWuPvOtgfdvUbB1Wcrel4ekDkmDuuv339qvo4Z2fIjvb+uUVf96jk99dqOCCsDAAD5rqtQv1tSqZmNaOfYqQp66Tu7nGqJpPoe1gZknJEDS3XfJ0/TrAmD4/vqGpp17R3L9eALWyKsDAAA5LOuQv2L4f1ViTvD8fRvDzefbu+BZjZKwRKXJB3klEHlxbrzY3N15tHD4/sam12fv+cF3f7s+ggrAwAA+aqrUH+vgsmuXzWzi8ysxMwmSbpDLb3wHa2MEwv9L/dJpUAGKS8p0i8+PFvvP3FMq/1ff+gV/e9f35C7R1QZAADIR12F+jslrZA0UNLvJNVKWiPpXQqG3vzU3Xd18NjLwzb/6E2BZjbKzH4UXgCrzsy2m9lDZnZuD893tZl5F7eDvakZ+aGkqEA3XnaSPnLahFb7f/zEm/rqg6vV3EywBwAA6dFpqHf3JknvkfRXBT32ibc7JX25vceZ2WRJ7w8321sZp1vMbKaCnv7PKVhF57CkYZIukPRXM/tST88tqUHS9k5uQJcKCkxff/8Juv4d01rtv3PJRn3+3hdU39gcUWUAACCfFHXVIOyJf5eZHSNpRrh7hbt3Nni4WdIHJDW4+5qeFGZmZZL+JGmoggtZ/ZO7rzazgZK+KulfJX3HzFa6+2M9eIpF7n5WT2oDEpmZrn/H0RrSv0Rf+9NqxUbePPTiVu2vbdBNV52i8pIu/6sBAAD0WFfDb+Lc/XV3/11463Q2oLtvcPeFPQzbMZ+UNEHSQUnvc/fV4bn3u/sNkv4YtvtOL54D6DMfPm2ibrzsJBUVWHzf02/s1FW/fE77algECgAApE63Q30Ergzv73L39lbQ+e/w/hQzOzZNNQGduvCksfrFR2artLjlv9bKt/bp0lsWa1t1XYSVAQCAXJaRod7MKiTNCjf/0kGzJQoubiVJ56S8KKCbzj5mhH778XkaWNoy5OaN7Qf1oZsXaf2u9i7ODAAA0DsZGeolHadgMq4krW6vgbs3S3o93Dy+B89xgpmtNrNaMztgZi+b2Q/DJTuBXpk1YYjuu+40jahouSDz5r21uuTmRXp5S3UnjwQAAEhepob60Qlfb+2kXezY6E7adGSYgjcPNZJKJZ0g6XpJq83sih6cD2jl2FED9ftPzdeEoeXxfbsO1mvBrUv03LrdEVYGAAByTaaG+v4JX9d20q4mvB+QxLm3SvqapOmSSt19aPj48yW9ouAquHeY2RkdncDMPmFmy81s+c6dO5N4auSb8UPK9bvr5uu40QPj+w4cbtSHb1uqv77CyqkAAKBvZGqot66b9Iy7P+bu33D31e5eH+477O6PSJqv4OJahZK+28k5bnX32e4+e/jw4akqFTlieEU/3fOJUzV34pD4vsONzbruNyv0uxWbI6wMAADkikwN9YlXdC3rpF1sXEOfXAHW3aslfTvcPNXMSOzoE4PKinXHx+bqHceNiO9ranbdcP+L+uUz6yKsDAAA5IJMDfWJ4+jHdNIudqyqD5/7ufDeJE3sw/Miz5UWF+qmq2bpg6eMbbX/vxa+qu//+TV57KpVAAAAScrUUP+apFjCOaG9BmZWIOmYcPOVPnzuxKE/pCz0qeLCAv3gQyfqY6e3XmTp539bq6/84WU1NfMjBwAAkpeRod7dD0haHm6e10GzeZIGhV8/0YdPPzfh6419eF5AklRQYPr384/TF951TKv9dy99S5+9e6UONzZFVBkAAMhWGRnqQ3eF91eaWXtLVt4Q3q9w99fbOX4EM+t0Aq6ZDZT0pXBzqbuztA1Swsz0mbOn6tsXzVDiT+Ujq7bpo7cv08HDjdEVBwAAsk4mh/pbFPSUV0h62MyOl4KrzZrZ9yV9MGz3lcQHmdlEM/PwdnWbc04wsyVm9jEzOyrhMSVm9m5Jz0o6WlKzpC+n5LsCElwx7yj9dMEpKi5sSfbPrtmtK3+xRHsO1UdYGQAAyCYZG+rdvVbShZJ2SzpFwUWhqiXtk/QFBePdv+zujyV56nmSfilpY3g12V0KVs95VMHa9TWSrnb3J/vkGwG6cP7M0brt6jkqLymM73txc7UuuXmRtu7r7DINAAAAgYwN9ZLk7i8qCNo/lrROUj8FIX+hpPPcvcO15DuwXdLnJN0n6XUFAX5QeL9c0vckHe/ud/bJNwB009unDddd156qyvLi+L61Ow/pQzct0podfbJiKwAAyGHGMnq9M3v2bF++fHnXDYFuWLPjgP7pV0tVVV0X3zekf4luv2aOZo6rjK4wAAAQOTNb4e6z2zuW0T31QL6ZOqJCv/vUfE0e1j++b8+hei24dYkWrdkVYWUAACCTEeqBDDO2skz3X3eaZowdFN93qL5JV/96mf78cl9eZw0AAOQKQj2QgYYO6Ke7rp2n0yYPje+rb2rWp3+7UvcsfSvCygAAQCYi1AMZqqK0WL++Zo7edcLI+L5ml770wCrd9Le1EVYGAAAyDaEeyGClxYX62RWn6LLZ41vt/96fX9O3H3lVTHQHAAASoR7IeEWFBfruxTP0yTMnt9p/69/X6d9+95Iam5ojqgwAAGQKQj2QBcxMX37Pcfrye45ttf/+FZv1qd+uVF1DU0SVAQCATECoB7LIJ8+cou9fPFMF1rLvr69s10duW6r9dQ3RFQYAACJFqAeyzKVzxuumq2appKjlv+9z6/dowa1LtOvg4QgrAwAAUSHUA1noXSeM0u3XzNGAfkXxfau37tclNy/W5r01EVYGAACiQKgHstT8KcN097Wnakj/kvi+9bsO6UM3LdYb2w9EWBkAAEg3Qj2QxWaMG6T7rztNYyvL4vu27a/TJTcv1o+feFPLN+xRA6vjAACQ84x1rntn9uzZvnz58qjLQJ6rqq7VP/1qqdbsOHjEsfKSQs2dNERvmzJMp00ZquNHD1RB4kxbAACQFcxshbvPbvcYob53CPXIFHsP1eua25fphU37Om1XWV6s0yYP1fwpQ3XalGGaMry/zAj5AABkOkJ9ChHqkUkOHW7Uj594UwtXVWnz3tpuPWbkwH6aH/biv23qsFZDeQAAQOYg1KcQoR6ZatOeGi1au0vPrtmtRWt3d3u5ywlDyzV/ytB40B82oF+KKwUAAN1BqE8hQj2ygbtrzY6DenbNLi1au1tL1u3W/rrGbj32mJEVmj81CPnzJg/RwNLiFFcLAADaQ6hPIUI9slFTs2v11motWrtbz67ZpWUb9qiuoetVcgpMmjGuUvOnDNXbpgzTrAmDVVZSmIaKAQAAoT6FCPXIBYcbm/Tipmo9u2aXFq/drec37VVDU9e/G0oKC3TyUZV629Rhmj9lqE4cX6niQlbKBQAgFQj1KUSoRy6qqW/Usg17tWhtEPJXbalWd35VxJbPjI3JZ/lMAAD6DqE+hQj1yAfVNQ1asn63FoVj8t9sZz389lSWF+vUSUPjY/JZPhMAgJ4j1KcQoR75aMeBOi1eu1uL1uzWonW7tGlP8stnzp8yVOMGl6e4UgAAcgehPoUI9UDL8pmL1gbLZ+48kNzymadNCcbks3wmAAAdI9SnEKEeaC22fGZsZZ1kl8+MXQRr7qQhGlTG8pkAAMQQ6lOIUA90rqnZ9crW/Xo27Mlftn6Pahuaunxc4vKZ86cM1ewJQ1g+EwCQ1wj1KUSoB5JT39isFzbtiw/Xef6t5JbPnD9lmN42dahmjqtUSRHLZwIA8gehPoUI9UDv1NQ3avmGvXq2B8tnzpk4RG8LV9Y5bvRAFbJ8JgAghxHqU4hQD/St2PKZi9fu1qK1u/TG9u4tnzmorFinTY4tnzlUU4YPYPlMAEBOIdSnEKEeSK3Y8pmL1+7Ws2u7v3zmiIp+8YtgTRharsICU0GBqdBMhQUmM6kw3I7tLzBTQUHLfgvbFibsLwjbBV+LNw4AgLQh1KcQoR5Ir54un5kqBabwzUDLG4YCU8sbhfgbhnBfwv7YYwsLLOENQ8ubh/i+AlOhtfOmItxfEGsfa1ug1m9KEs5dXFigUYNKNbayTOMGl2lMZZlKi5mADADZoLNQX5TuYgCgN8YPKddlQ47SZXOOarV85qJwTH53l8/sK80uNbsHX2Sp4RX9NLayTGMHB0F/XPzrco2tLFP/fvypAIBMR099L9FTD2SO2PKZi9bu0rNJLJ+Jzg0uL9bYwWVh7355mzcA5RpYVsQwJABIA4bfpBChHshc9Y3NerVqvw4eblRTs6vJXe6upubgDUCze/y+OdzfHLZrdg++bnY1ucLHhceaw7beco7Y/mZv59zNanlcuN/Ddon7m10Jzxk7X/D8sf2Jzxl7ruB8sXOrzXPHzqX4c/e1in5FCaG/LPy6PP710P4lhH4A6AMMvwGQl0qKCnTi+Mqoy8go9Y3Nqqqu1Za9tdq8t1ab98W+rtGWfbWqqq5LOvgfONyo17Yd0GvbDrR7vLS4IOzdD4N+GP7HheF/REU/FbAcKQD0CqEeAPJISVGBJgztrwlD+7d7vLGpWdsPHG4J+ntrtWVf8AZgy77gVt/YnNRz1jU0a+3OQ1q781C7x4sLTWMqE3r6K8vjw3vGVpZp9KBSFRVyoTEA6AyhHgAQV1QY9qpXlmnupCFHHG9udu06eFibY0F/b6227KtJ+LpWNfXJzWNoaHJt3F2jjbtr2j1eYNLoQW2H94Tj+weXaUxlqfoVsYIPgPxGqAcAdFtBgWnEwFKNGFiqU44afMRxd9femoZWYX9zYm//3pqkVyhqdsU/JVi6of02Iyr6tVqxp+1KPuUlmfvnrqnZ1dDUrPqmZjU0NquhKWG7qVkNjd7ydXirb/TW200ePjZhO36+hO1OHt/U3KxpIyr03hmjdcbRw3ijBGQZJsr2EhNlASA5++vC0J8wln9LQs//7kP1ff6cQ/qXxD+BiPX2jxtcrsryYjU0xgK0J4TeNtthuG61nbCvJXR7wuPbD+ix7VibTFwNtaJfkc47YaQumDlap08drpIihj8BmYDVb1KIUA8AfaumvlFb97Xt4W95A7DjwGHxpyt9BpYW6Z0njNL5M0frbVOGEfCBCBHqU4hQDwDpdbixSVX76oIe/jDst6ziU6tt+5NfwScXlRQWqLjQVFxUoOLCgpbtwmC7uKhAJQnbdQ1NWrFxrxo7ee0GlRXrXSeM1Pkzx2j+lKEqZgIzkFaE+hQi1ANAZomt4LN5T02rnv7g6xpt3Ven+qbkVvCJMQvCckkYimMhuSQelFu2S8Iw3Vmb4oR9rbYLLeHx4Xb8ORO2E+po+/ieXBtg76F6PfbKNj38UpUWrd3d6ZujweXFevf0UTp/xhidOnkIKxQhb2zfX6dNe2o0e+KRiwmkGqE+hQj1AJBdYiv4bNpbq0OHG+PhuaTdwG1hj3awXZhH6+nvPnhYf1m9XQtXbdXitbs7Hfs/pH+J3j19lC6YOVrzJg3Nq9cJ+WPH/jrd9PRa/fa5tzR8QD89dcNZaR+ORqhPIUI9ACDX7Tp4WH9+eZsWvlSlJet3dzqnYdiAEr1n+midP3O05kwcQsBH1tt54LBufnqtfrNkow4nXKfjWxdN15XzJqS1FkJ9ChHqAQD5ZMeBOv355WCIzrINezoN+MMr+um900fp/JljNHvCYK4cjKyy6+Bh3fL0Wt25ZKPqGo4csvf2acN058fmpbUmQn0KEeoBAPlq+/46PbqqSgtXVWnZhr2dth05sJ/eM3203nfiaJ08noCPzLXnUL1u+fta3bFoo2objryY3uTh/fX5c6fpgplj0v5JFKE+hQj1AABIVdW1emTVNi18aatWvrWv07ajB5XqvTOCITonj6/s0aReoK/tPVSvW59Zp/9btKHdK2NPHFquz79jmt5/4tjIhpUR6lOIUA8AQGtb9tXq0VVVevilKr2waV+nbcdWlun8maN1/ozRmjluEAEfabevpl6/eGadbn92gw61E+YnDC3XZ8+Zpg+cNCbyVZ4I9SlEqAcAoGOb9tTo0ZertPClKr24ubrTtuMGBwH/ghljNH3sQAI+Uqq6pkG/+sc63fbsBh083HjE8fFDyvTZc6bpopPHZsw1GQj1KUSoBwCge97aXaOFq6q0cNVWvbxlf6dtjxpSHu/BP2EMAR99p7q2Qbf9Y71ue3a9DtQdGebHVpbpc+dO1QdPGZcxYT6GUJ9ChHoAAJK3YdehIOC/VKVXqjoP+JOG9df54Rj8Y0dVEPDRIwfqGvTrZzfol8+s0/4Owvxnzp6qD80al/b157uLUJ9ChHoAAHpn7c6DeuSlYBWd17Yd6LTt5OH9dcGM0Tp/5hgdM6oiTRUimx083Kjbn12vXzyzXtW1DUccHz2oVJ85e6oumT1O/YoKI6iw+wj1KUSoBwCg76zZcUALX9qmhau26o3tBzttO23EgGAM/szRmjqCgI/WDh1u1O2LNugXz6zTvpojw/zIgf30z2dP1aVzxmd8mI8h1KcQoR4AgNR4Y/sBLXypSg+/tFVrdx7qtO0xIyuCMfgzR2vK8AFpqhCZqKa+UXcs3qhb/75Oew7VH3F8REU/ffqsKbp87lEqLc6OMB9DqE8hQj0AAKnl7no9HvCrtH5X5wH/2FEVumBmMERn0rD+aaoSUautb9KdSzbolqfXaXc7YX7YgCDMXzEv+8J8DKE+hQj1AACkj7vr1aoDWrhqqx5+qUobd9d02v6EMQPjq+hMGErAz0V1DU36zZKNuvnptdp1sL0wX6LrzpyiK+dNUFlJdob5GEJ9ChHqAQCIhrtr9db9evilYJnMTXtqO20/Y+ygeMAfP6Q8TVUiVeoamnTXc2/ppqfXaueBw0ccH9q/RJ88c7KuOnWCykuKIqiw7xHqU4hQDwBA9Nxdq7ZUx4fobNnXecA/cXylLpgxWu+dOVpjK8vSVCX6Ql1Dk+5dtkk/e2qNdrQT5geXF+sTZ0zRh0+boP79ciPMxxDqU4hQDwBAZnF3vbi5Wg+/uFWPrKrS1uq6TtuffFSlzp8xWu+dMVpjCPgZ63Bjk+5btkk/e2qttu0/8t+0srxY1759sj4yf6IG5FiYjyHUpxChHgCAzNXc7Hp+0z4tfKlKj6yqajcMJpo1YXA84I8aVJqmKtGZ+sZm3bd8k37+1Jp236ANKivWtW+fpI/Mn6iK0uIIKkwfQn0KEeoBAMgOzc2ulW/t1cNhwG9v6EaiY0ZWaO6kIZozaYjmThxCyE+zhqZm/W7FZv30yTXtDqeqKC3Sx0+frGtOn6iBOR7mYwj1KUSoBwAg+zQ1u5Zv2KOFq6r0yKpt2nWw84AvSUcNKdfcSUOC28QhmjC0XGaWhmrzS0NTsx5YuVk/eXKNNu9tJ8z3K9JHT5+kj54+SYPK8iPMxxDqU4hQDwBAdmtqdi1dv0cLV23Vo6u2tbvGeXtGVPTTnElDNC8M+kePqFBBASG/pxqbmvXA81v00yfX6K09Ry5VOqBfka5520R9/PTJGlSeX2E+hlCfQoR6AAByR2NTs55bv0d/f3Onlq7fo1Wbq9XY3L2sNKisWHMmDtaciUHInz52kIoLC1JccfZrbGrWgy9s1Y+ffLPd6w70LynU1W+bqGvfPlmV5SURVJg5CPUpRKgHACB31dQ36oW39mnphj1aun6PVr61V3UNzd16bFlxoU6ZUKm5E4dqzqTBOnn84Ky/+FFfamp2/enFLfrxE2vavUpweUmhPjI/CPND+ud3mI8h1KcQoR4AgPxR39isl7dWa+n6PVq2fo+WbtijA3WN3XpscaFpxthBmjtpqOZNGqJZEwfnzQTPRE3Nrodf2qofP/Gm1u48MsyXFRfqw6dN0CfOmKyhA/pFUGHmItSnEKEeAID81dTsen3bAS0Le/KXbtjT7tVN22MmHTdqYHzy7ZyJQzS8IndDbHOza+GqKv3oiTe1ZsfBI46XFhfon06doE+eOUXDCPPtItSnEKEeAADEuLs27K7R0vW7tXT9Xi3dsFub9nR+ddtEk4f1jwf8uZOGaNzgsqxfYae52fXoy9v0oyfe0Bvbjwzz/YoKdNWpE/TJMydrRAXLhnaGUJ9ChHoAANCZquraoBd//R4t27Cn3WDbkTGDSoN18sNlNKeOGJA1Ib+52fXYK9t04+Nv6rVtB444XlJUoCvmHqVPnzVFIwYS5ruDUJ9ChHoAAJCMPYfqtWxDy5j81Vv3q6mbK+wM6V8SX2Fn3qShOm50hYoybIUdd9djr2zXjY+/qVer9h9xvKSwQAvmjtenzprKBb2SRKhPIUI9AADojYOHG7Vy4974mPwXNu1TfWP3VtjpX1KoWRODtfLnTByimeMGqbQ4mhV23F2Pv7pDNz7+hlZvPTLMFxeaLp9zlD599hSNHlQWQYXZj1CfQoR6AADQl+oamrRqS7DCznPr92jlxr06eLh7K+yUFBXopHGV8cm3p0wYrAH9ilJar7vrqdd36MbH39RLm6uPOF5caLpk9nh95uypGltJmO8NQn0KEeoBAEAqNTY169WqA3pu/e5g2M6GvdrTzaveFhaYThgzMD7xds7EIX225ru7629v7NSNj7+pFzftO+J4UYHpktnj9Jmzp2rc4PI+ec58R6hPIUI9AABIJ3fX2p0H9Vw4+Xbp+j2qqq7r9uOnjRgQ78mfO2lI0kNh3F1/f3OXbnz8DT3/1r4jjhcWmC4+Zaw+e840jR9CmO9LhPoUItQDAIAoubs2761ttVb+unYu6tSRcYPLNHdSy7j8ScP6t7vCjrvr2TW79cPH39CKjXuPOF5YYLro5LH67DlTNWFo/159T2gfoT6FCPUAACDT7DxwuCXkr9+jV7ftV3cj37AB/TR30mDNnThEcycN1TGjKvTc+t364V/f0LINR4b5ApM+cPJYfe6caZo4jDCfSoT6FCLUAwCATFdd26CVG/fquXCt/Jc271NDU/cyYFlxoWobmo7YbyZdeOIYffbcaZoyfEBfl4x2dBbqUzsdGgAAAJEbVFass48dobOPHSFJqq1v0vOb9mpZeNXblRv3tRvcJR2x30x638wx+ty50zR1BGE+UxDqAQAA8kxZSaHmTxmm+VOGSZqmhqZmvRwuoxkbtrO/rvUymmbSe2eM1vXnTtO0kRXRFI4OEeoBAADyXHFhgU4+arBOPmqwPnnmFDU3u97YcUBL1wcXwxpcXqJLZ4/XMaMI85mKUA8AAIBWCgpMx44aqGNHDdSHT4u6GnRHQdQFAAAAAOgdQj0AAACQ5Qj1AAAAQJYj1AMAAABZjlAPAAAAZDlCPQAAAJDlCPUAAABAliPUAwAAAFmOUA8AAABkOUI9AAAAkOUI9QAAAECWI9QDAAAAWc7cPeoaspqZ7ZS0MaKnHyZpV0TPnYl4PVrwWrTG69GC16I1Xo/WeD1a8Fq0xuvRWlSvxwR3H97eAUJ9FjOz5e4+O+o6MgWvRwtei9Z4PVrwWrTG69Ear0cLXovWeD1ay8TXg+E3AAAAQJYj1AMAAABZjlCf3W6NuoAMw+vRgteiNV6PFrwWrfF6tMbr0YLXojVej9Yy7vVgTD0AAACQ5eipBwAAALIcoR4AAADIcoT6LGNmo8zsR2a21szqzGy7mT1kZudGXVs6mVmFmb3fzL5pZo+a2S4z8/B2bNT1pZOZHWVm14c/B2+Z2WEzO2BmL5rZd81sdNQ1ppOZzQ5/Lv5sZmvMrDp8TbaY2YNm9oGoa4ySmQ0ws00J/1+ujrqmdDGzqxO+745uB6OuMwpmNtnMfmhmr5rZwfD/zatmdpuZnRl1fanWjZ+LxFvOvx6SZGYFZnaNmT1uZjvNrMHM9pnZc2b2/8ysIuoa08UCV5rZE2a2O8xf683sZjObFHV9MYypzyJmNlPSk5KGhrv2Sxqg4M2ZS/qKu383ovLSKgxmf+jg8HHu/loay4mMmY1XcPEzS9i9X1J/SYXh9l5JF7v7U2kuLxJmdrOkTybsOiipSFJpwr7fS1rg7g3prC0TmNmNkj6fsOsad789mmrSK3wD82tJDZL2dNDskLtPSVtRGcDMPirpp5LKwl2HFPxdiW3/yt0/HkVt6WJm27poMlDB61EvaYy77059VdExs3JJD0k6J2H3fkkVavl7s1HSOe6+Ls3lpZWZFUu6X9KF4a5GSQckDQ63D0q60N2fjKC8VuipzxJmVibpTwoC/fOSprv7IAU/VP+j4D/Zd8zsndFVmXY7JD0i6T8lfSLiWqISC+4LJV0iaUj4c1Eu6b2S1iv4GfmjmY2KpsS0WyzpXyTNklTh7hXuXibpKEn/Hba5WNKXIqovMmZ2iqR/lvRc1LVEbJG7j+rglm+B/nJJv1QQWH8qaYq7D3D3ckmjJP2TpEURlpgWnfw8jHL3UZLeCJs+nOuBPvQfCgK9S/qKpMrwb0uppAWS9kmaoOBnJ9d9T0Ggb1Twt2WQuw+RNF5B2B8g6YFM+FScnvosYWbXS/qhgneEx7r7ljbH/yDpA5JWuvustBeYZmZW6O5NCdsTFQRYKb966gdJmujuL3Zw/FgFbwJLJX3d3f8znfVlIjO7U9JVktblU4AzswIFYf5kSXMkrQwP5WNP/dPufla01UTPzEZIek3BG/+vuPt3Ii4pI5nZSQp+j0pBj+yfIiwnLcxso4KOkNvc/WPtHL9awf8lKehM2pvG8tIm/D+ySVKJpO+7+xfbHC+UtErScZJ+7u6fSX+VLeipzx5Xhvd3tQ30oVgP5Cn5MKY8MdDnM3ev7ijQh8dfk7Qk3Mz5N3vdtCy8HxNpFen3WUmzJd3k7s931Rh54VMKAv3rCnoj0b6PhPc7FXw6nA9Ghvcd/a5YkfB1eYpridI5CgK9FHSsthJmkR+HmwvCoTqRIdRngXAySiyQ/aWDZkskVYdfn9NBG+Sn2EfFhZ22yh/zw/v1nbbKIWY2VtI3JW2X9O8Rl4PMEessusPdmyOtJEOZWZGkK8LN37p7Y5T1pNGG8P7kDo7HMsl2SVtTXk10JoT31e7e0byL2MiAwZJOSX1JHSPUZ4fj1DIxZXV7DcJfyK+Hm8enoyhkvvAP0tvCzZejrCVK4YovM83sZ5IuC3f/NMqa0uwnCia43eDu1V01zgMnmNlqM6sNV4p6OVz5JWNWsUg1MxsqaVq4+Q8zO8fM/mJme82sxsxeCVfPGhZlnRngPZJGhF//X5SFpNkvwvtrzOxL4VBPmVmJmV2moNfaFfxOyeVx3LHvrbO8XJTw9QkprKVLhPrskDj5orN3xLFjkU/WQMb4jILJbs2S7oi4lrQys3GxJegUrFTwoqRPS6qT9FV3/3mkBaaJmb1P0kWS/ubuv4m6ngwxTEFnSY2C+SYnSLpe0mozu6KTx+WSaQlfv1PS4+F97BO94yR9UdILZnZcmmvLJFeH9y+5+wsR1pFuN0r6mcJFOCTtM7N9kmol3aOgd/r9efA7ZWN4XxGuNteexI7USId1EuqzQ/+Er2s7aVcT3g9IYS3IEuESqN8ON3/q7u1+ypPDmhR8NLxdwTJ0UrB6wXeUJ730ZtZfwffaoOANXr7bKulrkqZLKnX3oQp+X54v6RUFK8DcYWZnRFdi2lQmfP0VBZ8Cz3P3gQpek/cqWGFsrKTfh5/65RUzGyLpgnDz9ghLSbtwrPj1kv5Vwe9NSRqkltxYIWl4+itLu6fU8vfji20PmlmJgtcpJtK1+wn12cG6bgK0CJfW+qOCCUwr1M4vo1zn7lUJy9GVSTpGwacV/6mg9zHSj0nT5BsKVrD4obu/EnUxUXP3x9z9G+6+2t3rw32H3f0RBXMt1ijoqc6H630k/v1vknSRuy+VguGc7v6opI+Gx49T8GlPvlmgYJJko6TfRlxLWoVLID+rYMns30o6UcGbvWmSvixpsqTbzCynV0xy9x2Sbg43P21m3wo/BS42s5MVTJyepKDjRAo+FY8MoT47JF7hsKzDVi0z0PPyiogIhL1Ljyn4RfOmpPPdvS7aqqIVhpQ3wqXZ/ldB0P1NuMxjTgqX4fu8guXYvhFtNZkvnGsQ+2TrVDPL9V7IxL8TC919TdsG7r5QLeuzvyMtVWWW2Ko3j4bhLp/cIWmugguPXe3uL7n7IXdfE17kMnaBv38zs+nRlZkW/6bgQlym4FOtTQp671dKOlfBMKXYBbj2RVBfXM7+QcsxiePoOxuvFTtWlcJakMHCyUx/UTC84C1J73D37dFWlXF+Et6fpI5XdsgFP1LQ6/z/FFzlfEDiLaFdv3BfLi9L112xi3KZpIkR1pEOiX9XXu+wVcuxjsYT56RwHsGccDOfJsjKzI6XdF64ecQyjpLk7ncqWFmtQC1DlHKSux9WcPGpSyU9qOATvfWSHpX0QQXDb44Km78ZQYlxeTdGLku9pmAGtimY0HXEL+Cwx/GYcDPvP2bPR+H46UcUrEW+TUGgfyvaqjJS4nUepqj1esu5JLYUW1cTpG8ObxuV+0G2K4lDHXN5RQ8p6FmsVfDpb3e+11x/Pdq6Orzfo6CXNp8kTozubOnfdQqucj8xpdVkgHCFn/vDWytmNlctoyiWtD2eTvTUZwF3PyBpebh5XgfN5imYxCJJT6S8KGQUMytT8IdnvoLek3e4e6Q9BhkscdlChqoh0dyErzd22CoHhMsg/y3c7OyChbHOopx+PRKFnWRXhZt3x+Zf5JHEceFHddiqpePgQApryQbXhPd/c/dI1+wn1GePu8L7K8NJkG3dEN6vcPfOPkpFjgln3z8g6WwF4/nemYcr3UgKLtltZl1NLP9CeN8oaXGKS4qMu090d+voltD0mnDfxKhqTYeufi7MbKCkL4WbS919Z+qrityd4f35Zja17UEzO1/S0eFmvlxJVQo6z2LDWfNq6E3ohYSvr22vQbhUbmz9/ufaa5MPzOw0SR8PNyOfNEyozx63KOgpqZD0cDjmTWZWYWbfVzCuSwomceQFMxsWuym4kltMZeKxHJ8MWajgDd+7FfSWvMfdV0ZbVaTGS1puZh81s3GxnWZWYGYnmdlv1fIL+CfuvjeSKhGFCWa2xMw+Zmbx3sfwYjrvVrDSx9EKeim/HFWRaXavguFnRZL+YGZzpPj/l3dL+lXYbqmkhdGUGInYBNlX3H1ZpJVEwN3XK1hsQZKuN7PvmNkIKX4hv6vVssTnBkl/SneN6WRmZ5vZv5jZ5PBvrsxssJl9VsEctiJJt7r7Y52eKA0sty8EllvM7EQFQ2uGhrv2K1hiqkDBeMevhLPS80J4UaHumOTuG1JZS1TC9bSfDjfrJHV2tdBN7j6nk+NZz8wmqvUY0DoFQ2wqJPVL2H+7pGvz6JLvR0j4/3ONu98eZS3p0MHPxiFJAyUVh/tqJF0XTgLMC+Gb36cVLFEoBZ0DhWpZTe11See5+6YIyku78BObbQrGSH/R3b8fcUmRCEcEPKHW4+sPqPU67NsVdCQ9n87a0i18E/PrcLNRwd+UQWqZg/NLBb83mtJfXWtMlM0i7v5iuHTUlxXMNh+rYPz0UgXrUDOWPv8kfgpRGt46kg/LWm6VdJmCZcbmKri68lAF3/taBcNtfu3uz0ZWIaKyXdLnJJ2uYM3t4Qr+MB9SsGLFE5Jucve8GTsuSe6+OewwukHSxQrCvUt6XtLvJP3Y3fNp7smlCgJ9s6Rcv1pqh9y9ysxmSfqEgpEA0xX8f9mvYPWXhQo+7cyHYWr/ULCa2BkK5hhUSNqs4NO9W939qQhra4WeegAAACDL5exYYwAAACBfEOoBAACALEeoBwAAALIcoR4AAADIcoR6AAAAIMsR6gEAAIAsR6gHAAAAshyhHgAAAMhyhHoAANowsw1m5mZ2VtS1AEB3FEVdAADkCjMrknSVpMslnShpqKRDkrZJWifp75KedPdlbR53kqQPSNrg7renr2IAQK4g1ANAHzCz4ZIekTQ7YXedJJN0jKRjJb1XUrWkyjYPP0nS1yQ9Len21FYKAMhFDL8BgL7xGwWB/oCkf5M02t3L3L1S0iBJ50n6uaR9URUIAMhd9NQDQC+Z2bGS3hluftTdf5d43N0PSHpc0uNmdkO66wMA5D566gGg92YkfP1wZw3dvTZx28xc0q/DzTPDyZmJt7PansPMTjeze8xss5kdNrPdZva4mS0wM2un/VnhuTaE2+8zs6fMbK+ZHTSzxWZ2RXLfcvzcV4fn/lubc+8Lz73EzBZ057EdtPl62Ob2Nvsnxl6jcHuumT1oZjvN7ICZLTKz9ya0LzGzL5rZy2ZWY2bbzewWMxvSje/xKDP7pZltMrM6M1tvZj8ws0FdPG64mX3HzFaFr8Wh8Pm/1dHzJk7QNbOxZvZzM1sX/ju/0FWtAPIXPfUA0LfGSlqbRPvtksokDZTUIGlPm+P1iRtm9j0Fw3tiDigYo39ueHu/mV3p7s3tPZmZfV7SjZJcwfj+MkmnSjrVzE5z988mUXvbc/+HpG9Iag7r6i9pnqS7zGyku9/Y03N38bzvl/Q7BX/T9ksaIOk0SQ+Z2eWSHpL0qKSzFMxzcEkjJH1C0hwzO9Xd69s5tSRNlXSfpOGSDoaPnSjpXyVdaGZnuHtVOzWdLulBSbHwXi+pSdIJ4e2fzOw8d3+9g+c9WtL9koZJqlHwswEAHaKnHgB6b0XC1z8LJ812i7uPkvT5cHORu49qc1sUaxsG8n+TtFPSpyUNdveBCsLzpZKqFKy888UOnm64pP+WdIeCMf+DFYTG/wmP/3NPe+wVrPbzNUn/IWloOJdglIKwLUnf6U6veA/doZbvqVJBYH9Qwd+4H0r6gYKJyhcoCPwVki5U8MbjZEkf7+TcP1Dw5uft7l6h4LX+gKRdCgL//7V9gJlNUPBGYoikX4bPXRY+drqkP0saL+kBMyvs4Hn/R8G/59vcvb+7D5D0oS5fCQB5i1APAL3k7usUhEpJepekzeFwmP8yswuTCfkdMbNKSf8lqVHSBe5+k7vvC5+/zt3vl/RBBT3JXzCzknZOUy7pb5Kudvft4WP3uvsNagmn/9neEJ5uqJT0NXf/r4S6tkv6JwVvQkoVhOpUWOnuH0/4nnZKulJBr/1YSZ+RdLm7L3T3pvD2JwVvcKTOw3I/Se9x93+E52529wcVvImSpPPCXvlE31LwevzY3a9199fDx7m7r1bwhuJFScdLuqiD522UdF7imzp3X9ON1wJAniLUA0DfuFbS/yoYZlGiYCjM/5P0R0k7zGypmV3Zw8AsSRcr6GX+h7svba+Buy9RsB7+YEmzOjjPd9zd29n/rfB+qoJe92TVKRjW07amOkl/CTen9+C83fHddp73kKQl4eYid3+6ncc90Y267msvTLv7U5JigTv+psDMyiRdEm7+b3snDIf6xD7BOK+D570j9iYFALqDMfUA0AfCoPav4Zj3iySdqWCJy6kK1qqfo2DZywvN7PKOxrx3Yn54P8/MtnXSLjbEZbykxW2ONUh6toP63zSzKkmjJZ0i6YUk63slDNLt2RLeD07ynN21qoP9O8L7lzs4HgvNndX1t06OPa3g3+WUhH2zFbypk6TnOnkPVxbej+/geNt/OwDoFKEeAPqQu++QdEt4k5mNlPQ+SV9VEOAuURCsf5TkqUeH92VqCYSdKW9n365OJoRKQfgerWDsfbIOdHKsLrwv7sF5u9TeRNVQU3jf1fHO/hZu6caxxNdrdMLXIzt5bEx7/05SMGQJALqN4TcAkELuvt3df6mgNzfWM/zRHpwq9vv6h+5u3bjd3oPn6OnQoHzV3usV+3fa281/p7M6OHdTB/sBoF2EegBIA3ffpWBFFilYrjBZsTcEx/eijGEdTKCNifUyp6uXuDG8L+2kTadrwafBmE6Otfd6xYf0mNmo1JQEAEci1ANA+sTGnLcdAhMbX99ZT3lsjPWZZja0h89frGD99iOY2VS1BNiVPTx/svaF9+M6aTMnDXV05sxuHEt8vZar5c3KB1NSEQC0g1APAL1kZpPMbEoXbcoVrG8uHTkJdX94X9nJKe5X8KagVC1LMXb0XJ1N/PxyByvwfDm8f1PBcovpEJvgOtbMjlitx8zeLultaaqlI5eZ2eS2O83sDLXUdn9sv7sfkPT7cPPfwzkV7TKzIjMb0JfFAshfhHoA6L0TJL1uZg+Y2aVmFp8saWb9zex9kp6RNCnc3XaS7Orw/ngzm9feE7j7brUE72vM7D4ziy/FaGalZna6mf1MHaxwo+DKpOdI+pWZjQgfVxmu2BMb5//1Dpa87HPuvlFSbHnO281sRlhTsZldomA50L3pqKUT9ZIeNbP5kmRmBeG/Z2xJyr+6e9vX+0sKrgw8WtIiM7vIzPrFDprZVDO7XtKrClbLAYBeY/UbAOi9BkmFCpayvEiSzKxWQSBMHBPeJOmr7v5A4oPD5ST/LukMSUvMbI9aVpO5PFx/Xu7+EzMbJOkbClbRucTMaiQdDp8n1lGzoYM6dypYS/6Hkq42s31tHvczd78r2W++lz4n6SkFa8W/ZGYHFSwJWSLpMUnLFKz3H5UbJH1b0rNhbYVqWX1ojaSPtH2Au28ws3creFMyWdIDkhrNrFrBtQb6JTZPXekA8gk99QDQS+7+F0nHKAiAf1QQ9qQgwO1TMOb6Rkknuvu3OzjNByX9XNL68HETwlurSaTu/l8KLg51q4KhMiapv4JlGx+V9ClJ7fb2h4+/UdL7FayxXqBgucklkq5y93/u5rfcZ9z9OUmnS3pIwWtVJOkNSV+Q9F61jE+PyhoFvem3SapWEOo3SPofSbM7Wk7T3ZdJOlbSFxVcpOqAguFVtQrG3X9P0pwOLooFAEmzNH3KCgCIiJmdpaA3fKO7T4y0GABAStBTDwAAAGQ5Qj0AAACQ5Qj1AAAAQJYj1AMAAABZjomyAAAAQJajpx4AAADIcoR6AAAAIMsR6gEAAIAsR6gHAAAAshyhHgAAAMhyhHoAAAAgy/3/dOVP7T+EY8UAAAAASUVORK5CYII=\n",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -1400,30 +1298,28 @@
{
"cell_type": "code",
"execution_count": null,
- "metadata": {
- "collapsed": true
- },
+ "metadata": {},
"outputs": [],
"source": []
}
],
"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": "2.7.12"
+ "pygments_lexer": "ipython3",
+ "version": "3.9.2"
}
},
"nbformat": 4,