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@tbekolay
Created September 30, 2015 19:53
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{
"metadata": {
"name": "",
"signature": "sha256:bab0cc7146173c261987cd3b1ac78d079e081578fe153489165d081d8ba15e43"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import nengo\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 70
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import nengo\n",
"\n",
"# Initial network\n",
"\n",
"Nexc = 80\n",
"N = 2\n",
"reprRadius = 2.\n",
"tau = 0.05\n",
"W = [[1, 1], [-1, 1]]\n",
"\n",
"with nengo.Network() as model:\n",
" inp = nengo.Node(output=lambda t: 1 if t < 0.05 else 0)\n",
" rator = nengo.Ensemble(Nexc, dimensions=N, radius=reprRadius)\n",
" nengo.Connection(inp, rator[0])\n",
" EtoEfake = nengo.Connection(rator, rator,\n",
" transform=W, synapse=tau) # synapse is tau_syn for filtering\n",
" \n",
" pr = nengo.Probe(rator, synapse=0.01)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 71
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def test_model(t=2.0):\n",
" sim = nengo.Simulator(model)\n",
" sim.run(t)\n",
" plt.figure()\n",
" plt.plot(sim.trange(), sim.data[pr])\n",
" return sim\n",
"sim = test_model()\n",
"\n",
"# Oscillates as you'd expect"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
"Simulation finished in 0:00:01. \n"
]
},
{
"metadata": {},
"output_type": "display_data",
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XA6IRdgxE6/zWWFO+Rsn99Ych/tWrgV4x+oIny+Jfu38tSnLlUx0+/TTwZE0o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\ngl+j0WjqGFrwazQaTR1DC36NRqOpY/w/thDz8H6zTxcAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7bfb7fa5d0>"
]
}
],
"prompt_number": 72
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Calculate decoders\n",
"Eencoders = sim.data[rator].encoders\n",
"EtoEweights = sim.data[EtoEfake].weights\n",
"WEE = np.dot(Eencoders, EtoEweights) # weights = dot(W,decoders)\n",
"\n",
"# having computed the decoders, remove the EtoEfake connection\n",
"model.connections.remove(EtoEfake)\n",
"\n",
"# and replace it by the EtoE connection below with modified weights WEEexc\n",
"with model:\n",
" EtoE = nengo.Connection(rator.neurons, rator.neurons,\n",
" transform=WEE, synapse=tau)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 73
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sim = test_model()\n",
"\n",
"# However, it no longer works the same"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
"Simulation finished in 0:00:01. \n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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tm4Ilxlmfe3mFeWg7uW3M+iaC74T/voX3hZ9bxcsngu1HtgMAVu5SzcZX+7+K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\n7K1XsR5KxjtlERTD1uInhHwDgJddRlcbRlEUhRBidcacpSj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"text": [
"<matplotlib.figure.Figure at 0x7f7bc2f0f790>"
]
}
],
"prompt_number": 74
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This is because a number of properties are randomly generated\n",
"when we build a model with `nengo.Simulator`.\n",
"The decoders that we solved for the first time\n",
"are not valid the second time we build the model.\n",
"\n",
"However, we can make these random factors deterministic\n",
"by setting a seed in our network.\n",
"\n",
"Also! Note that we have to divide the weights\n",
"by the radius. We put these together in decoded connections\n",
"for speed reasons, but they are separate\n",
"in neuron-to-neuron connections."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"with nengo.Network(seed=1) as model:\n",
" inp = nengo.Node(output=lambda t: 1 if t < 0.05 else 0)\n",
" rator = nengo.Ensemble(Nexc, dimensions=N, radius=reprRadius)\n",
" nengo.Connection(inp, rator[0])\n",
" EtoEfake = nengo.Connection(rator, rator,\n",
" transform=W, synapse=tau) # synapse is tau_syn for filtering\n",
" \n",
" pr = nengo.Probe(rator, synapse=0.01)\n",
"\n",
"sim = test_model()\n",
"\n",
"Eencoders = sim.data[rator].encoders\n",
"EtoEweights = sim.data[EtoEfake].weights\n",
"WEE = np.dot(Eencoders, EtoEweights) / rator.radius\n",
"\n",
"with model:\n",
" model.connections.remove(EtoEfake)\n",
" EtoE = nengo.Connection(rator.neurons, rator.neurons,\n",
" transform=WEE, synapse=tau)\n",
"\n",
"sim = test_model()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
"Simulation finished in 0:00:01. \n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
"Simulation finished in 0:00:01. \n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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F6MjMMfmzyfjtwG/mBscIt5JyIcsc/lAWcWUkZGDt9WpSAIFc3/96ZCcFzYhu\nQDgN/00DbjLeqJ577hGfsZTYDmxWbkQoZVyCSTAH47vvRHJAvCMevx/4XXlcv376rUFDQcQZ/poa\n/fLt1q3FIpWdlLpLsbNwJ/mk27QxFvj9b1hxLE+56xDgS5UMZTPsl39/mVx1+Pbbvt9XHaKFVF59\nVYR7QsX6I+tNj01NE4afstgme0A884zp3RpiZQYS74jH/hL1orRwqI2O7jIadw+5O6jAYSArhNAt\n/nrKXwEAQ2YNCbJ1ePHUeZCdlI28K/OUx1RXi/Whw4eB3UW7hTyzIuHoN+JPxBn+YB5/crL9aXa/\nHxR3ZYpKIlAv+lUtrLjUiVchIUGIZq0yEa5WJcmZhA8m6nfdCkZauWKKkh+9egHLlzdtg+9APB5h\nwN+5RYS7KDdCqaq4Qa2ZFJk6XodyT7my4FwgcY44PLb0Maw7rNCyCsFbaNrJiI60VChZsCRvgPJa\npBCqNNVVB1fh5OyTMbzjcOON65GJKRMm+P4nVacwIUGkRIerejfiDP/evcCePdqvhSK/+nDZYbRN\nbYtJvQ2XKryUlwPDhwN33S5kDqizhdra4G0NrbLm8Bqc3MKcHm+7dvSpiFS+DGevASPmzROLmad1\n7YDeLXpj0Y5FxoPqkbnhoWqHd+839wLwKcJSuOMOX3z/aIVa3JMxUQ0PhKa3647jO/D1jq+RnUyL\nVciZFaWXbSChajIz/fvp3iI7VaqqhPx6aqovVCTFH42Qzu6/tDuK2k7EGf7x4/UbeCcni8UTO6ms\nqcSoTqPgjFUPuk+aJCqL/zRcaJI88wstJnDbbXKhzn6OVx7H8crjyMnMMTU+J1uUXDyYp971RoYS\nwp2ZEIy6OpEd1qKFuLnfsvAW8nuEqoQ+b0+eqXEdOwK33OIz/DJ7SwUpC/DZZ6Z2HRRZABmsYbwW\nPXqIJjHU3H9/stQT8cic2upU0vZVVb7Zogx5qa4tydDvggXBt7OLiDP8wQiFx1/pqSTr2Ug1ypYt\nGWJYDGavno1DZYrVFxANZkI1RS2uKkZ6fDop1uofW5x1wSwAwMwfZiqP79lThHtC4SFT8tX9ueUW\noEMHcUFJMTDKWswpp4ROx95IAVaL6moxo0pM9NVnUBas5c05FOE4eQOirFls2yY67Dmd5jz+WeI0\nVVYppdIrqxeePfdZ0pg+fXwN46UKADVDLpRp3v5EnOFvHkTRNRSGv6qmCgkOWnxf9m5t0QL48eof\nAYBUeRhAmW5YAAAgAElEQVTKhRxqVycA+Mc/xONvvwnZ6aHthuLC7heS3iM52VeZbCeUUn5/iot9\n2SzXn3Y9UlwpJF11jyd03leyKxnzJswjjfngA3HOZGfDm+Ek2wKqEMrOVbWcfnPevVs8VlSYM/yy\nCDIUjeTreB02HLW2wCNvzpRZGQAcMaHSbYaIM/yjR+tr1u/aBTzwgL37u3PRnSSDAPi091NSfH1d\nl+1bpjw+MRH4nb6OpUSlp5K8aChj9DLj6Kq+V5F07wGxuHv55aQhSpRXlyM9Ph3H7qaJ/sfGAj/8\n4Ps7IyGD1O2KIlRHZW/xXnROpxVxvP22TwvpmdHPILdjrrcRuArS4w+F4c/JoIcV5Tk3bRq8YVZq\nXUOokAqbp7WmJzpIDpaJarmnf1ZveCzFDsOxwBtxhr+4GLqdaxYvDs0+f95PE8+RAmuMAe2bibZg\nVy24Snm8wyGyekIx7V6ev5ykkOjxiAWlLl2Abt3Ec0nOJNOett1UeCqQFp9G6urEuVjE9M8Ooxr+\nTz7xvZed/Gvpv7Dq0CpyeLFlS+A//xG/t2vWDqO7jCb9Pw6HcFhCYVTO63Yepg2h1X5UVoqOdIDP\n46eES0OJvKFaKfiTjddfW0mXrg2HBtEfyvC/9x6td6oR8sJR7REqeeYZa7oa48aJx1AoQN705U2k\nYifZ1ezii30LTEmuJK/H0tSUe8qV+yBLZPN3f+XGzMRMb2MWFVq1Ck2l+N+//TsAmlEpLARmz27Y\n1zkzIVM5q0fidocmJl5TV0NKjgBEcxh5vvk7KtTZdyj468d/NTUuJcWXPUURSJRIRzAcuvx/KMPf\noQPQRl1p2JB9xaJNAKULkqRIXYajESkpwrCEKl3wgu4XKG8rF5n9PUFHjANL9iwhLYaGigpPBTl0\npdU2kurxA6HJIpNQ4tq//OI7HkmPrB7YeJTWq2/UKCA3lzREifu/vx/HKmihuDvu8PXcYIyBz+DI\nTsrGgVKbKzRNQI0ASJzOxg1yJvRUL+KSyQTh6Mv9hzL8dvfdlfo8lAwYmQdt1SampIiCDTvhnCOG\nxWD+JerJzdKj9c/vlqqCVGlZwP6+yOXV5crtIyVLljR+LtWVSvYmU1JCZ/gpkgDSE0zy+xhS41Kx\nPH855qyeo/w+551nf/qjXNuiVBLr0a5ZO9J31K6d8TZmMKvT45/OCQAzh8/Eu+vfVR7/FyFwGpaO\ndie04f9o00cAgJZJ6otKxcXi0b+jEdUwAcKo2O3xV9ZUwhXrIhUGyXiiv+HvkdUDgLkLwE7J6Tpe\nh0nzJykXwQSjyF2EKZ9PIY1JTg7drIwS6pGzMv/m3TITjdLQJT7e/jCCrIgudhdbfq9EZ6K3l4QK\noSyCpPLVV8I2+d+cpTpnHVdbzIuLExLno0aF4ggbElGGn3Nxoel1crLb8D+85GEAwLNj1PN1L6zP\ncpRxegDk+CYg/sdi69dKA8qqy8g54loef8+snuiY1pF0EcpwRL5mix1zlFeX42jFUdNTb392FtIT\npDduFG1A7UQWK1FSiKWx9q8rkCm7lDBYXJz9hl9mwFDOFb3WiUnOJJK0hmwg/+uvykNCxhjRfruB\nBpdcwKdkX40ZE5rq6kAiyvCXlYkcd72UM6dTfLB2r3pT8t5/01g3HZczrvGTBnz/vf0aKmsPryUv\n+GkZfkCsf6w8uFL5fTIytN/HClIKo3+r/pbfy+x6hd3TbhlepHj8X9b3+klL8z0njQolMSE+3n79\nIam/T8kCk9Ie/fo1fH7h9oW4eaGygrv3RhjYnzvSoBRxeTy+GodQElGGP1iYR2K310/FrfEdvjTu\nJVPhHrs5+y36nUQr1AOIohyKuqDswGWnbLa71o0UVwqWXK0RtCciPVNKJfDNN9sfTujfqj/ZUZB1\nLV27+p7LTMhEojORdN517Gh/kV1+aT5aJrfE55M+Vx5TXQ2MHAksXdrw+XuH3WvqJt8yMtL/cdll\nDf+W1buU5jTz5gH332/nUWkTUYa/qEjN8Nux4Ha4zJyi2JVXNm6UnuRKQmVNpXIsDwAuvdTU7m1H\n5oZfdZW195Eev50L1u4aNzISMkjhjEOHRGV1oGCc9EgpnmnnzvaGrgorC7E8fzmmDaXlvA8fDswJ\nWMNljOHyky8ntTrs3t3+MMINX9yAQ2WHSNpQRUUiqy1QLnpw28Hk9Zw77rA3ZCr3f3yaegaY2y3S\nzAMLT2WRHrUdZTiIKMOv4vGnpdljXJbnLwdAF4hatsy3+i6JYTFIcCSQ4pMvvige7cyYvPzky9En\nm9ZYdfZs8Th4sPbrlNjt+ecLSVq7eHzp49hTrCPVqsP27UL8q0WLhs/PGC6aOFMWrNesadinwCry\nnKOqcrrdQvUxEFesi6QM26yZuHaaWj67qKhh2EqSEpeC0mraanrz5vaKA969SDSFoaTbHjokzrdA\nbadr+12LtqltrfWMDhF/SMNvJYdeIi++or/T3mzbNu0GHeWecnywQV0DX+Zkb91K2n1QkpxJuOG0\nG2x5rzFdxWrVriL12MDo0fbeyKhN0gEhoKel93RFnyvQJb0L6UZ23332SjfIMBPV8BcXayc8UA1/\nbKww+k0tn613nafGpWLJniXe+hoVMjN9ool2cLhcfDiUhI3iYu0bGWMMafFpJI//scfEox02Lhh2\nNFs/lzG2mTG2jTF2j8bruYyxYsbYqvqf6XrvFU7DLzHTYu2FF7Sfv+ZT9VxGl0uEEuxcryitLkWy\nK9l4Qz86dQJ+1kia+fjSj9G+WXtvTr8KCQn2Zo1Q+rdKqqsbpj36U1Zd5r2wlfbf2t7QiAwFUgvS\nSkq0rwtXrIu0AC8JLDIKN7oef31G2iNLHlF+L7s9/tgY4bZTIgF63w8AbCvYhvkb1etq7r1XzFjt\nDDFqYcnwM8ZiATwP4FwAPQFMYoz10Nj0B855v/of3W81nIa/vLocE3pO8H7RKng8IuNo2DDr+wdE\nMY2dhnLFgRWkPruAkDXI1JDBiXPECcNPKOJyu4E33iDtXpcKTwUOlB7AS+NeIo3bt0/fWCe5kvDj\nnh+V3yshQdyY7ZJtkJ4fVQCvpETb499+fDvmrptrx6GFFb3rXJ67FF0muz3+Luld0C2zm3dhVgW9\n7wcQCQoPLXmIdAyhLByUWPX4BwDYzjnfzTn3AHgPgJaer9KnqGr4C9XTYnUx4x3PnSuKabR6mDpj\nnOiW2Y30fnYX1Gw7vg1Hy2lpNYFFJ/5Q1y3Wm2+N2wgpZ0td7Js6FfjoI+3Xru13LanQSMZsH32U\ndAi6LNgidJ4pnapqa4WmU7LGqSrj4WZ7FtjFqE60iiMjj58yI8rMBH780b6Z88HSg7i237WkMcuX\n26vp9Ouv1pMtjLBq+NsA8A/I7a9/zh8OYDBjbDVj7EvGWE+9N1Mx/ElJ1r/kmroafLrlUyQ7aYZf\nZg9olb1/cdkXXolmVfbuFWltdkLRBgGEUdFrxp3oTCQZ/r59xaMdcX4Zu6b0OTAixZVCivFL7Jp2\nv7lGpH1QJELKysQ5H6MxRIaOKLOy4eotZA2RRXGf/PkT0ji97D1p8CnFbdn191C7vP7XV79ODp89\n9BDw7bf27F+SQdONJGNVnVvlEl8JoD3nvIIxNgbAJwA0XePFi2ciKwuYORPIzc1FroailB1e8lfb\nv8KCLQtw77B7SeMqKoC//127wCwrKYvsbduZU/3tTnHmUZQsOReGX8/j75LeBVsL1Fefr7tOqD/u\n3SsE9azgNfzELI9gOGOd5P7IgP6aQTg4flzfCEjDX+GpUJ69PvigcDY8noay1Wa4deGtAGiSJbW1\nIjNObzH0zkF3ko5BZm/ddZdoVmMHlASJUGRIvfCCr5OXFnl5ecizWFlo1fDnA/CXSmoH4fV74ZyX\n+v2+kDH2ImMsg3PeKFG2e/eZOPfcxumS/sTHW+9eJRduqKGeysqGIkz+ZCVmYd2Rdfgt/zec3uZ0\npfeLibHvxJF9Tyla/Dt2NNat96d1SmtTaonnnw+sXUse1gBZ7cjUooQAjGcarlgXqutohn/CBJGu\nZwfD2g/DzOEzSWP0spQAX4invLocULS9Tqc45159FbjpJtKhNOL3g6KbECUefuedwoHK1ol2mb05\nf/gheUgj6ngdYlkshrYfqjxGajktX679+qC2g/DL/l9Ix5GQALz8MvCSzvJWoFP84IPq/bElVkM9\nKwDkMMY6MsZcAC4F0EBUlDGWzerPDMbYAABMy+gD4gIzCvXY4fHLcndKMwy3G3j4YfGlaJGVJOI/\nA/5vgPJ7XnSR8qaGSINPuQiN9t8svhl+yaedtABwwAZlXXnxPzBcveWarELu0kX7dWr6IyAK7fTW\nDKhUeiqRGqezCqjDvn36WTgyMYESjpP9LI7TFKo1MdM4RV4/gUWQkvVH1mNG3gzzB2WB4qpiJLuS\nSem2BQVA+/bAAJ3Lfu54sfhOacGoJZVuN5YMP+e8BsDNAL4GsBHA+5zzTYyxKYwxKYU4AcA6xthq\nAP8B8Ge99/v2W+N/1g6PX14wG46oC5dID1bP8JvpGzpnTkNRJyuY6SlgdPG3SGpBaikp0ZK1IL9H\njRt9svuQQlcVFcKw6c02XLEu7CqkxdfGjdOf5VEp95STZ5nbtmkXbwHAWxe9BQDo/VJv5feTs7tQ\ntGBUISEhuCTBloItTVbpuqVgC1lldOdOkZath4wuUFowSuQNIBRYzuPnnC/knHfnnHflnP+z/rlX\nOOev1P/+Aue8N+e8L+d8COc8qAspVe706NpVfwqkiqykozQskQZabyHUDPImYsed3cyNxygttm/L\nvmiXShM9v+Ya0c3LKiXuEnJq6gsviOwKve/IFevCz/t/Jt3wXS5xI7P6HZVXl2Pzsc2kG1l1tVhT\n0jP8Zuoc5E2sqQx/YWHwhcslVy0hz4rs4qe9P5HHGP0/csGaUj8irx87HCg9Iqpyt21b4wUnqVVt\n5UL01HlwduezceFJWpmn2shYvJ2VnDJTw+oMBgBOyT4F1516HWlMYIl5IInOROwr2UcKJZxzjj2p\ndZd+eCmW7l1qvKEfRpkdUqiNsm4RGyu+J6ve16/5QjuYshC6v361zF+czSoytm6X4aeswQBilpme\nrv96VlIWyqvLSbpXTz0lHlfSa9ka4Ihx4NYBt5LG6KXaSqR6KmWmJ28kdoUYtYgow6/ST9fptB7u\n8dR6yBr60pjphXoA4K7Bd2F0F42+f0Hg3B41vkU7FmFYe1pl2dlna8tPSKS3cufX6pkW6en2FNjF\nsBivvo4qnToFX7DsmiEsKKX3LiCyeqx6X/J8o4Z6AP14OCDExJrFqYf55Bqa0U1fFep1VFgY3PA7\nYhxIdiWjuEo95HLmmeJx0SLSoTSi2F1Mnm0Ey4oDxJrbtCHTyH0yACEIGSoiyvCrppdZ7V7lqfOQ\nxdlKSsQJq9XPVTKs/TCSzrrkaXr4rwFSaz4rkdZX7/hxoHeQ8LBc/KYs4qWliYIaqyS5knDZyZcZ\nb+hHsNJ5QISuAGDS/Emk97XD8K8/sh5D2g0hnR9VVcJDD+bxJ7uSUVpdqtxvgDEhNW2XFAX1OjIy\n/AC9P7K0G1bXYoqrislrZbLOIhhmkgpCzQlp+N01brKBLigQaYrBZiWOGIepTk9WqaypRLwjHmNy\nDBZI/CgvF01GghlKWWhEUbSUWVd79yoP0aTCU0HucaBSANivZb/gG2gQF2e9MvOGL24gL5SvX28s\nqOaMdcIZ4yRVODsc9jUzol5HKoY/yZWEtYfV84HlNWnF8Fd4KvD66tdJsyfAONQDCMMfadLMf0jD\nz7k1hcH/Lv8vuWq3oEBb08afCk8F1h9Zj4OlB5Xft3170mFoUuIuIU9RpeyFnsZI4PurctJJ4nG/\nxd7b1bXV5AXrYJopkhfHvejVSVeld29fFywrjM0ZS9petWeDK9ZF8pD37gXuaSSnaI6Fly9U3pZz\nkZ7a1qDAff2R9Rg/b3zwjfyww+P/Zuc3KKoqsj3UA0Q9fkNUDf+uXcDEieb24an14Of9P+P11a+T\nxqkYfhmXpDT7yMtrrB1PpaCigGwki4tFGlr37sbbUgy/ywWMGGG91oJq+DlXa+TjinVhZ+FO5Jeo\n6zD89a/Ad98pb65Jr6xeeHzU46QxqnotpdWlGPmmuvbHvnqRFSte/2/5ogfp6a3VihUBcU643dpV\nu1aQUS4rqdHS06dkXQHqoZ7Ptn7mbb4eCUSU4Vf1EkePNt+JXuqaUBdbVD1+gFasERenrcNCYdgb\nw7C/hOZi9+4tcpBVoGjLANaL7GrralHiLiGFEZ57TrStUzH8AEj52hkZ1rs8lVWXkdNTc3KETK8K\nFGkNWeBmZRFeFipSCgarqoInR0gm95tMOhYpqWElHEcVA5SoePzxjnhsPLoRs1bOMrWPUBBRhl+1\n4nPSJPN390pPJdLi03BsmrqqU2Ul8Nprxr09czvmAqA1V3Y6rcdbQ+lJPHDmAxjSbghpjFXD/9iP\nohsFZeFw0ybxaBTqkWmClFmMHVLgZdVl5Iye6mq1TDcqs2aJcIsVldu2qW0xsSdt2r1xo9oN9OnR\nT5M+q/bthU6UlZuzGYewvFwo9hrF+KVqb/NEHe2NJiCiDL8qSUniQzdDZY0om6eEEbZsEY9Ghr9P\nS9H28ML31OsDXC7rC4fD2g/DYyMfs/YmOpzU/CRS6AoQHpgVw/9AnpBpoPRKkF6Xkccvc/kpHl5T\nGf4HH7S3eb3E5RLnspX/KScjB1P6TzHe0I8zzlDbLsEp5MBVM5UAoWd0992kw2lApacSw9oPw5kd\nzlQes3u32nb9WomEAkptQqiJKMOvms9uyfB7Kkmyr4CvElRPLCsQStjF6RQZSqonkRY1dTUY3tFG\nvV0/klxJZCnjb78FnngiJIeji/yOjAz/Sc3F6jO1V60Vb9JT60FNXY2pbm8qSQy3DbwNF51EE35K\nTLQmPueupWfGqdpxR4wDjhgH6TuyGoqrrKlE14yupNCVTIk12ndGQgZuPO1GUnbcXXeJx7kh6rMT\nUYZf1bBaMfwVngokOGmGX1ZttlNQL8hOykbvFuraKXIq/zptrbkBpe7SkJW5JzmTSCcsIDyvNWtC\ncji6PPyweDQK9SQ6EzEuZxzZ8Fvxjt9Z9w5qeS3JqEhUDFr3zO74ePPHWHFghfL7LlkCTJtGPhwv\nNXU15N7B3Qh9ihKdiaSZZrAiNxXMOISytkMl+yrBmUCaZf7zn+Lxhx9Ih6RMRBl+VR2cpCTzrcko\naW8Sjwc4+WQ1XfZnxzyLHs21uk9qI0vnX36ZfFheqN3EKDUQSa4kcqhHXghmZTVObnEy/nJKEG3u\nIKhIalDT62TzH7P/z1ULriKPkft68knjbWXYkrLW869/icpts3hq6UWQgwerOzjFVcXYcmyL8nvf\ncYd4NFuYVuGpIBv+qirRhlXFbiU4EkgNc2SGox1yLlpElOFXWfEHxGKKWY//nLfPwepDq0ljVq1S\nz7xxxjhNFWtYieWWukvJi1KAUH40IjUuFb/m/4pVB1cpv3/79sIAl6ivnzYc36w9eeEQAK64Qk2K\n4GDZQVw8T11JLjZWXIihFM0KRN6cZVezYMibPqUFY/Pm5q8hQHj8VLmGOXPU17M4OIa8rp5U4HAI\nA2zWUFbWVJIjAVVV6k16qB6/RDUKQiWiDD/F47dy0lK5+mr10IUz1ulV/1TlpZfULnAtOOcorS4l\npQpWVoqpsYr4l9S3eW3la6TjSkw0L9a2s3AnOjSjtfDq2xe47Ta1bdcfoTcHdruBn+jijaaRwmMq\npMWLxPharm74rcya1xxag3VH1pFCPXKxP5TXbbNmIu3aDPkl+chMUG/yDghBQtWWi/GOeFImGSDs\njp29fP2JKMNP8fitdKE3I2GsijOG3kGoUyfzRVzbjm9DHa8j/U8VFeqftSvWhSfOeoIsn3D4sH4D\nESOOlB8hSw6rVO1KzGZXvPKKqWGmoMwupOGn/F9WZs2y8xYl1FNcLJyB2283t08VevcGNqgrbjfg\n+93f46zOZ5HHGaVySio8FXjhtxe8WWUqMAa8+CL5kJSIKMOv6vGnpAjDb6ZtYef0zthwo8mzQwFn\nrBOLdy4mhUaspHR2f7472ZBVVqobfkDosVBqE6zAOUexmy6WVVqqbvil6iglNHL//aLgzUwM+dyu\n5+KLy74gjWnTRsSPVZCfFeX/SU4WMhRmQowyO4ni8ZeUiBRSq8WKwWjVypyUS1VNFbYd34ZWKa1I\n43r2BH5RbFAnr9HER9UbekybZq8ktz8RZfhVO8vHxoqbBFWorY7XYWfhTvKUjoK8KL7Z+Y3yGKdT\nSDeEstWaP5WVtIYycbFxpGpkK1R4KuCMcZrS6VHtlSBVRykx19atgd9/V7/Q/aGuwQCiuMqvrWpQ\nZIyfKtQG6LepDIYMKXGon7AbNtBm6X2y+5AXW1u2NBeO+3aniNfImZMqbje9wI6y/meXxLkWEWX4\nl1e9pbytmdxq6YVTvMmD9XpruxQ79p3W+jQAwN5idXlKWblrNj5JvUAooR4A2H58O15d+SppHyqp\nr1oUVhWSU1MrKsRFqCrSNf+S+QBAyrIwKssPBnUNBhDNu1UdISnHTTH8MkRhRuVW1nVQCqwuugg4\nckR9H0+d8xR6tehFOq7SUlGVTCU9QciFUtNT3W71xV0zpKWJ5kJ2NDYKJKIM/2urX1De1ozh/3rH\n1wBo2jMyM0VVRVMWtTz/2/PkfezYoTxEc5+qvP8+zVPZVSTuepQL/bvvzHmTUxdNJbWpA4BBg8Sj\napr8gDYD4IxxkoTaZC2Hmbi4GY//yy/VHYE4Rxx6NO+BR358RPn9+/QhHU4DDpYdxMSeE9Elw8QX\nrEiSKwkrDqzAF1vVQ2Ty5kydOXtqPTijvWJZcT0FBUJbTNXwUzuVAb5rdOpU8lBDLBt+xti5jLHN\njLFtjDFNsVfG2LP1r69hjOkKolMWPswY/n989w/aAIgLvW/f0MYmBw4Uj1vVdbYaQK0IfeMN2iLY\nQyMeAkDTIEpOFtNU6kXYNtVAs1eDdevIQ+Cp82DEnBHK28vFVjMVolSPX35mlPaIm45twvbj20nH\n9Y9/AJfRet0AAI6WH/XqUoUKuQ6zp3iP8pgh9dmfVA/ZU+chhxaXLBGPqoZ/dFdaZz5/Nm40PVQX\nS+aMMRYL4HkA5wLoCWASY6xHwDZjAXTlnOcA+BsA3Vbpvx/8Hdd9qtY39uefhVwuhX4t+5Gbh1dU\n2NtgXYuWLYEZM8wbfqp8MaAeRgCAnlk9kZmQiVK3elwgO1uEsKgxyuykbEwdHAIXR4PCKnWVsj/9\nSTyaMvxEj1/mol9yifo+7h0mZDwps7I+fczVJrz8+8ukhWQAGD9eOByqpMeL8Avl3L6oXrWC2juh\nuraaXJMgE0tUbcOANgNoB+VHKKp3rfqxAwBs55zv5px7ALwHIFCh7AIAcwCAc74cQBpjLFvvDf9v\n1f8p7bhtW7q+Ta8WvfDISPXpMCAMv5X4riq9egG//WZu7HsT3lPeVhoVI4npQFLjUkl5yIyJz41a\nUFPhqfB6e6rk5ND2YYaWLYUUhaqUtUTq9MgFZRVKS4GsLJE1ospjo4RI3w971K1Ep07A/Pk0D1ne\nWKiKsG43rRipXbN2uOG0G0w1MKHcMAFgw5EN5Nobt1uoBIdCPdUf1YQFKlYNfxsA+/z+3l//nNE2\n9Pl8AC++KEIwFEljM5o2Zjz+5ZOXk0MWAwfSc5CraqrginVhYJuBymPkYjX1hEqJS0FpNW0l8OBB\n4Prrafs5VHaI3AzjjDOEbDaFk1ucTBsAkV65mlb0jV1Fu8g6PaWl5i/4WavUVzf71QddKbpKso8B\ndSHUzHUU74hHpSdEmgV+TPtmGr7dpViJVQ+latcKqinKVKwaftV5ZeBZrz3ue/Ezc+ZM5OXlBX3D\n1FRxEf7734pHgPpYK3GRzcwJm5mQSY4ZNm8ucqopMfENRzYgJyOHJF8sMytUC08kaw+vxZi56j19\nJZ99Rtt+2/FtJJE7QFyE1LZ7F3S/gDYAIqWTqmh5/efEOx9E2iP1+5EMbTdUedvYWKGfQznnZJc5\nau1IeTn9OnLXuPHTPnp+Zi9aMpAprr0W+PBD2ph1N6xDzyzCNA7As882fi4vLw8zZ870/piBdttu\nTD4A/6B5OwiPPtg2beufa0z9WtvMGTMNdyzTEY+p91MRsVZiWp2ZE9YZS2t+DYh9xMaqNW+WHCg9\ngE7pnUj7kaXzlDCC5FCZBR1fRSprKskNrympnJLbB92OR398lDQmPp4eE+/bsi9+2U9L/jfr8U/u\nN5ncLY1aPChnfRR5CMCcA/XiCnrZ6pw5wOLF5GGmoKoHmKmHOf/8xvpTubm5yPUr8njwwQdpBwLr\nHv8KADmMsY6MMReASwF8GrDNpwCuAADG2CAARZxzC63SBWZia2Y8/r/9DThOFPR0xDhwoPQASV0Q\nEF4/5UZWWVNJih0DwvAPGmStaQUFqmwDVTabcxF3pxr+jISM+vHq7m5cHN3wxzviMf3M6aQxZg1/\ngjOBHBqhGn4p0U1pHF9XJ7rrUdeVHh7xMG0ARDFkjXpyoJdeWfRpAtV5infEkyvgHQ5RLW5GpSAY\nlgw/57wGwM0AvgawEcD7nPNNjLEpjLEp9dt8CWAnY2w7gFcA3GjxmAGYM/wl7hKSxy/z61UrKCVS\nwyS/VD1PHBDhK4qipRkN8aoqkXFDTU/NuzIPAHC4TP2e/cYbdOnfSk8laXH3+++Feio13hrDYuCK\ndZFmZmYMP7VpPCA8SVOGnyj9C5jw+N2lGNVplLdQUYXycvG5tQlc/TOA2hELEIaSavhdsS78cBUt\ndebcc9Uks/2Jc8SRIwGM2dOeNRDL2emc84Wc8+6c866c83/WP/cK5/wVv21urn+9D+d8pdV9AiY9\nfmJaXUGBULG89VbafmQp+5w1c0jjqF9wZQ3d8FNnLxJpjBftWKQ8xuGgn7BUXXRZ5ET1+AFhKENt\n+PWA0PcAACAASURBVN01brLhLy01F+M3I/1LNfxz180l1dsA6k3WA6H2TQDo19CTPz2J6tpqctKH\nmardeEe8KemTiDT8oUDly5aGXzVZgnOOck85qWEJVcxMIkvo31zzJmkc9SKs9NA1xCdPBhYsIA0B\nAO9+KIt61Gk35xz7SvaRPH4pmmbK8DtpHjLV8Fd4KvD8b8+T4+6mQz0O0auWgstF+5/mrJlDShkF\nxKyMEsKUmDH8VI9/2jeiDRk1j99MQkFcLN3jB8R39D9t+O8YJNroHC03lgyUhl/1wy/3lCPeEU/K\ngDHz5QIAYww5GSK5nBJDDofHP2qUKBajIo0xRZiLehHKGyXlZiYNv5kbdIKDFhOnGv6tBaIib0+R\nevUpYN7wL89fjieX0eIPVpRhVVFpTaiFK9aFlQdXYvEO9dVaM6EeKvn5ooCUOitzxbrgqfNgyme0\nJvVuN7B5M21fRkSU4Z9+5nSkxadh07FNhtvKGLWqx29GL8Ws4Qd82Q8UNb6qKuDpp9X3Ycbj51xd\n7tcfeYOhVGxSL0LZIIVyM5OLXmb6GZjx+Kur1dMfZZtPyiwTAB54gCbXICmopKv8VVcLyelIRIbI\n1hxWLzRwOoVOlBnxOVVuuUU8nnIKbZys5aAKHlZW+uQo7CKiDH9GQgaKqopw9ltnY9m+ZUG3bdEC\n+POf1T0wMwqJ//gHvTpYIvOdKVO7FStoYZiqmiqyx3/0qKgKpSI9fkqox+EQdQOqhvJQuUgXpczK\n5PdPkaCQxDviSd9PTIxIrVOdlR0pP4JxOePIWT2AOUXGa/peQx6zahWwb5/xdv4M7zBceduvhS6i\nKcPVPFGU+lKaAMXHi+9HNisPBR9/LB4JNXkRR0QZfn9Ucp8HD/blpRthxuPPy/NVulKRnqSZmB5l\nH1SP/8gRa4afEupxOoV+/VuKatuprlSM6KgunAaIjJFbbzXnISc6E8kx8ZoadY2o3UW70TOrJ+lG\nJsNwJlKzcUWfK8DASLMyOaNVvZnFslivrLUKe+vVyR+mZ2aieWJz3HjajaSaAamiW6guw3RCErGG\nXyUTIiFB3TP6YtsXZI/fDkLZwKTEXUIKI9TViSwYMw2c5eIXxajIPOcDB9S2d9e6cdnJNLnIsjLz\nWkql7lL8tJdeGTpvntp2ZdVl5GyRh4QQqqk1C8aY6PlMDC8CasVInHNwcFI/CxmSNatpE+egFT3J\nuhGzTddDzfQzpqN/q/5NfRiRZ/jfuFBI+KkY/jZt1Kap7ho3ZuTNIPeNtcLXfxFzXIrHn60rXafN\nrqJd6JSmXrlbVCQWpMxehLcOuJVUgCLztlXbFVbVVJEK0jgHpk8HOtD6sntZc3gN7vvuPnODFaD+\nP3bginWRBMdkfwGVPgNVNVVwxDhIOj2WDX8sre1nbKwIK6mu+Zze+nR8PulzcwdngrE5Y8kZRK+9\nRl9PMCLiDP9Vfa8CIKaURmRnq6WJybALNZ86PR1YFnypQZdzupyD3i16kwy/lGV+913jbXcV7sLS\nvUtJzTDMxvcl1MpQxkTJuar3SjWUcuHYrJDVDafdQCpE8kelSYq7xk3ulWAVZ4yTlAIpPWMVj7/C\nU0F2nqTcQLg8fgC48kpfiMmIyppKtGtmsl2cCRKc9JTbPn2AtWvpEhHBiDjDDwjt6s3HjPOXEhOB\nlSuN45PSWFEVBZOS6NWG/lAXD6UBe1FBomT692LBsHWKuiaC2fi+hFrwBACnnaamyV9TV4P5m+aT\nDKUMU5jtVdy/VX+sOLCCNEaeaypNvZvM4yeEepYuFTdmFfG5ck85WTlVrr2YWYMBhMdPrUY+7TT1\n9EczMuBWMLOu1LZe6Hf9evuOIyIN/6/5v+LfPxvLbsrY7qpVwbeTJw7V8Hs8YoHSLNRpKiCMvkp1\nbWZCJtLj00nFQWeeqR520SLeEU++CLOzRYs6I2QW1CnZ6nNamdEzeDDpkLxIgTu5bxUcDiFnrBJD\n3l64PeyG/3D5YTz0w0PK2/foIfLsVdp+Prf8OewvUfgy/ZCZL2YNf/tm7bGvhJZ2lJUlpKZVvH6q\nRIhVEhwJ2H58Owor1VefW7USsjFm2n7qEZGGXxVZMm10UkmPnxLqKSwUXp0Vw0/1+AHxP23caJym\n+tyvz+G+M+jxaSvFOgnOBDy57ElsOKLeOGDoUJEdZYS71o2WyS3RIU09YL9ihbj5d6IJlHoZ2Wkk\nWia39AqPqZKYqGb4dxXuQoskWoHByScD77xDGtKIl1boNrnTJCVFzaioOGOBuN3AxInASSeRhwIA\n2qS2wcFSWmqdnNXOnm28LVUixCoyGYNac5Gebm+m0h/a8MsFHNkWTw9ZTHVlnyuV31suGpv1VABx\nUp39Fk2lTMZEVQwLJd4uwyEtW5IOpwHSe6X0Qe3VC9i1SzR4D4aZePiYMda9IDOzsoQEte/HGesk\ny2YnJAh9KCtQZk2AWFu67Tbj7cysV1RXi/7YZmme2BzHKmh6DzJFVUWIkBrqketKo0220E1PSEdO\nRg5ZRTVq+P2Q00ijzJ7CykKc2/VcjOo8Svm9ZUWolZP25/0/k8ecdZZ4DGZYZBHVwLbqnbdkPDw9\nnXxIXmRsUqqPqiC/ozcNZIvctW7EOcK7EAqYE85q0QJYvtx4O08tvYl3dbW1zk7/PvvfOKvTWaQx\nqtXVdw6+E6M6qV9DgOgXa6U9YWZCJtnwS4xmGTV1NajltaTvqLpa3Jy/+srUIQEQxp8a509PNy+w\nqEVEGn5pWKgqgHqMfWcsqVE4IOoDBg+2pzqPotfTpo3w+IIZfmlQzulyjvL7ynoHs52dAF9qKjU0\nMnWqsbR1U2TAAPVZI0SPf+NGNZkDM5LMZlQf/TEj/fvJJ+LR6DR1xbowrL263kdhoQhbWTL8iZko\nqCwgXUOASPE1yo6TsuaUtphut/U+u0nOJFL/akDcxNautbZffyLS8J/f/XwAtEU3I6gxtYoKc0U0\nWlCyLADjUIK7lm4kpcc/ht490cvtg25HbsdcsuGPizOusN5VtAvlHhtXrxRZe3gtvt/1PWnMNYrK\nCE1i+E2ErpKTRXjEKHzlqfWQZnty1mwlXOqKdSHRmejt9avKnj3ARx8F38ZMRs/48UCxRbPULL4Z\nbvyS1pakVSu17DhVItLwvz/hfaTHp5ue4mnRJ7sPafuzzzbOFlKFUlADKBj+GnpYpKpKLIIarYcE\nI94Rj85pncmGRaVl4UXvX4SdhTvNH5wFqC3+Ro8GunYNvs2B0gNw17pJhvLTT0U3MSuGP4bFYNaq\nWSiooDk6qanGBs1T5yFlxtklJZyZkEn+f4yoravFdZ9dRzb8KokKRozpOgbbj28njUlKOgHy+B0x\nDhRWFeLKT4wXY1Uzb14aR8t0AKzLu3ZJF8VVVE3xUHj8ZvrSamE2U4nawCRcTB08FZf0vIQ0RkUf\nvc3TbVBWXUby+KWejRXDL9d/qP2RmzUz7v5WUFFAqjqVGWRW2waaWeA1othdjM+2fkZKVLCLIe2G\nkFs9JiefAIZfcnKLkw23ycgQF+FPOpIrtXW1YGBIi08j79+sBoxkw40bkBafZrvhP1p+1KtcqIoV\niWl/zBj+hATg3/8WcrmRxne7v8NjSx8jjXG5RChBpaCGYvhlAZ8Vw98tsxsAkGdlKSmiwE+PfcX7\n8Prq1zF79Wzl95SG32yBnSQUhj+UGlpGmGmY06mTKEqz+llKItbwPz7qcW9D7GDI+KGexryM41EW\ncCQXXUQe0oA4RxySnEm2x/jzS/NJFbuA9dixxIzhl3nVs2Zpv05duJOkp6sVhwVj2pBp5A5ZcnGv\nj0L0kKLMKT1jK9/T8I7DMaDNALJhW7lSFPjpMX7eeABAzyz1DuNNafi/+EI86kmuSMM7sedE5fe0\ny+iaqd7NzBTrjtQG73qYNvyMsQzG2GLG2FbG2CLGmKZLzRjbzRhbyxhbxRj7VfX90+LTUFRlfTXD\nTJk5ILyvRx+1vHs4Y2naKYAw/MEaSew4voNs+JvS45eGXy8kd7DMnPZ1VRWQRp/INaBnVk+SMQN8\nhl8vhEFRMPVHxo+tZo3EO+LJHr9Ez7jJm+NDI9Srgr/8UjxaDfWYSemUN089JVVpeCky43Z1Kkt0\nJpIr4CV2deKy4vH/HcBiznk3AN/W/60FB5DLOe/HOR+g+uZp8Wkocls3/GZW7jkXhUFWQz0AXS0R\nEDnCwTTfVxxcQY4RNqXhl/vVy+7YXbSbfBzHj4s1GKv/U6IzEfuKaZIARh45NespEJXCo2CYbeoN\n6GeOyNRqikjbrl3i0Q6Pn5qVJzPy9LLJpOGnzPbsirGbEWqzGyun2AUA5tT/PgdAsHwRcpylWXwz\nksffubP28+XV5WRFwbIyYVCsel6AuYbR0rPQO2mLq4rROV3nH9bBzlDPUz8/RfJq5eeo5/E/u/xZ\nAMDqKauV33PnTlEVHKseSdEkyZWEYncxKWvE6HOkph7ajRlNJfkd6S3wynOYMnuWBVRNEeqRHdn0\nFuGHvj4UQNMYfmeME5xzskMosSPkZMXwZ3POpUbhYQB6avIcwCLG2ArG2HWqb57sSlb2nF59VT/2\nZcbjLyqyHkKQ7C7ajQvfu5A0Ri5H6Hlfxe5iUjMMQIhWWc0/BnyLlRTDIo2Knsffv1V/3DHoDvRp\nqZ5yO3IksFr9PqFLy2ShYWFnp7Sle5fa9l5m6NCsA3YV7iKNkTdlvXNE9kOmOFEyk8uqocpMpId6\npKqu3r5lVy8V+XeJXYafMWYp3GNHM/mgSbmMscUAtNRd/uH/B+ecM8b0vt6hnPODjLEsAIsZY5s5\n5z9qbThz5kzv721OboNl+5ahoKIAmYmZwQ4TbdoAn+v0Uhg0axBZKKuw0Jq0gT9l1WXkqb+Mib7/\nvraGSom7hNzZye+jtYT0kNw1buXuX0aGv6y6DM3iaDcyO5tpt2/WnrwA/+WXwOTJ9h2DlEW2o2gw\nPT6dXBn65pvAxRcbd7SjpHNKw98U6ZwpKcCcOcA33wTfjrL4PnaseHz5ZdKhaCIXeKnXMQB8910e\nfv45z9L+gxp+zrmuwhhj7DBjrCXn/BBjrBUAzWQwzvnB+sejjLGPAQwAYGj4Nx/bDKwHVhxYgdFd\ngysiSQ2LefOASzRSso+UB8lT0+DQIWsaPVaZPl1IAuiFmswYfsBa8ZZEZkdRPGR54WtJQueX5OOh\nJQ/hqXOeIh3HyJHm+yEH4oxxkqfdPXro38jMTOG/ry8eVtH5N8IV6yLHkMePB844w74FTEB0jgJE\nRooVzKZzOhzG3jHF45cyz1OmkA+lEekJ6SisLPTOOCkMHpyL0aNzvX8/aKJBs5VQz6cAZIXVlQA+\nCdyAMZbIGEup/z0JwDkA1qm8uawQVImXSs8isKpOFrNQWb5cvXVbKJg+HbjuOv1FvhJ3CdlD7tnT\nXMPrQOT3QrmZSsOvZVTeXS8EVSi9gwEgJwe45RbSEF1iY2Kxo1BBkN4Pp1M/fkydPQBireLCC4Wn\nahUzmWSAcDSCGf4bT6PJDOzZI+L806eTD6UBmQmZ5MVdQBj+d98FtmsUyU7uJ6ZrFMNvJ3W8Dj/s\n+YE0Riab2BHqsWL4HwdwNmNsK4CR9X+DMdaaMVafRYuWAH5kjK0GsBzA55zzRSpv3jWjK0Z3GY3j\nlcaSdFKPPbC7lJzuDmk3RGWXXoqKRN/OpkTvIiyoKEBxVTHZ47crS0lql5/66qnKY3r1AiZNAl55\nxZfiJ5GhI6rht6sSGQC2FmzFmLk0ESOnU3ymWgvwZjz+igr7Zpk1dTWYt1GxI7wfLpeQKtE67xgY\nnhv7HPn9li61nlSQmZiJI+VHsOM47eYsZ2RauvyeOg/aN2uPmwbcpPx+48cDH3xAOgRdthZsxQ1f\n3EAaU1YmbJwdUhimDT/n/Djn/CzOeTfO+Tmc86L65w9wzsfV/76Tc963/qc35/yflH10y+ymlJY2\ncqQQzmoX0DpT3jTObB+kMiWAWbOAp58GmtMKY3U5PPWwqaphh0O7krL5k83hqfOQtHqOHxc/rWmp\n/5qoFNUFwpgvPhrYq1Ya/hQXzdWtqrInS8ksTqfIgNEqepLnHSMks1VU2HNjBoCVB1dib/Fecpxf\nEriIKTO4KBkwnAvP1I6bmUwoWH2ItpovDb+Wg1BTV4NHRz6Kvi37Kr+fXZlxVjh6FPjsM+vvE7GV\nu4CIvapO8bSqXQ+UHkCX9C6kohNZ6Wc1LilJi09DVU0VufHCf/8LPPKIPcewfj3Qu7c9J+1ZnWla\n7xKZLRIoCx0JHr8ZZBbMb781fm3699OR4krB5pvVq20qKkRnLzuQ6zDf7vyWNE7K/gZ6/L1f6k0q\ndALEjdnlsqbM6c+k3pPIWTBy31qfK1VwDrCvFgYA3r7obXK4VvKQujnTJaIN/9x1c/HwErXAtJbh\n31W4CwPbDiRlIsj4mV2G3xXrQuuU1njxN5oCpJ1UVdnnTfpLX1DiyDIkEvgdyRgr1fDbeRFKKGtC\n8ibavbv268muZK9ujgrl5fYZfmnQCqtoLZvy88VjYPhq8zF6uWhiorEUN4XUuFQcKD1AGiOTCbRq\nPWrqasiG305no1+rfih2F+No+VHyWKPGUypEtOE/WqH+oWgZ/qqaKiQ6aFeTPFnsCvXI45i6eCpp\nzNy5+sVJ3TN1rI0O5eX2FKMFsqdIXdlQryjNG+qJo4V67Jx2r7l+DQDgjVVvKI9xOoHFi4G2bbVf\npyYWlJbaZ/hfGPsCzu58Nln694cfxP8ViUqq+aX5uOebe0i6TrIOJjBFlT3I8NGmj8izcDvDi1Jd\n95ElNk3riUS04ZfFIirdswINf6m7FP+36v/IuvVy4cQujx+A11OhLPoNHAi0b9/wORnjnH/JfNL+\nx49vvKhqB4fL1XMP5bQ78OYsK0HT42mFE3Z6/FLplPL/AGL/gTeytYdFvISyrnPkCPDUU9arkCUZ\nCRkY2GYgNh7dSBp35pkiC8f/f/p408f2HJRF5FofZRYjDb9eX+aTmqt3gC8osNfjl+sW1LTbr782\n7gWhQkQbfilEphLnT0hoeMJ+tOkj/Jr/q7dBuCqyMMiuyl1/KF9ys2aNqyjleKpAm930a9kPAJQy\nriQ33yzaLwYaygpPBa7qexWyk/UKv7Wx0+OXC9aUxVhAu8/A3LVzxeP4ucrvI+tQ7AyN9G/d39S4\nwJuZVOWksE4pYZuG1AqidOW76CKxpqRn+E9vc7rS+3AuIgAlJfadc9LwU7vO5eQ0cVZPOGjfTLi8\nvV/sbbhtYOs4+cFSG5ZImV+7vC9/KIY/NVUYhKN+0S45nhoWsZuVU1bispMvI12ECQkiRdb/Oypx\nl5BT2gCRJfT77/Z5X9I5oMaQ4+OBFSuAX34Rf9fxOjyx7AkAIGkpDR4sHu1aCAXE+b9gywLyOL1u\naa+d/5rye9xUnyF5xRXk3evyynmvAABJv6ttW9EHItDwd0zrSOpXLdf9iovtO+dkJGJLwRbSOKNa\nC1Ui2vDLkIbKXbFNG+Dtt33TO1mKTVnYBYS3InU+7OLiHhcDoBl+GZP3n9YVVRXh4h4XkxalZCXo\nV18pD1HCGeP0emGqBHqT8iJ2MHMWzy5ZDcnzvz1P2l56fzL7yj+URznv5DlrZ9GgPBYz3dK0ekFM\nPlVdn0Ku//+TlLwdnJzMHOR2zCVLtSclNTT8i3Yswu6i3XgoVz01RhraoiL7PX5qp7QTwvBTPNtR\no8QijpQlKK8W33ZWYlaQUdqYqIAOijT4Zio6/dUSJ34wkaz8uGmTeGxJrwwPihnDn5AgehxIwyI1\njAa3G2zqGAIL9qxw3anK+oFepPcnFw/9s5wovXYlV19NHqKLNPhUQ/nNN8C551rbt6w4t2uxWpK3\nO887o1IlMbGh4d9fIqb0ZjSHAPtj/IWVtMyrE8LwA8Azo5/ByE4jDbdLTBRxZJm2KItXxuSoV2RK\nb7RDB/JhBiW3Yy4AumaQxF/kasORDaSxI0aIR720Q7M4YhymDD8gJJUBEa/t17Ifru6rbvH21CcS\nrV9vb6bS3/r/Dae2Uq9GBnzen8zp929+Qp1pAtZ1+P3pmNYRAN2w2IH0+O0QnAvkq+20qWtSErBk\nie9vGZ6k3Jj9Db9dHr+ctZuRzy4tbRgCNkPEG/6uGV2VF2jPP198SQu3LcTtX9+O+4bdR4q1ytjk\nWeZqlHSZNnQaAGD47OGmxn/8sW/WINc9qISi2OnGL28k5fLLBXMpdrX28Fr0btGb1BZzxQrx2KOH\n8hAlkpxJ5AwL+ZkuWiQWAOVncUmvS8jtHO1mYNuBGNR2EDmX3w6ko2J3CvHL417G3079G2lMYqJQ\n25XOxp2L7gRAq0KWefNTpzZt0SDg+0xbtBDtMs0S8YY/3hGvvIiYmSlUDp9ZJhp7UBuS/0DTTAo5\nsm1cTY1v4ZHSvBsQn8lJ6llryuwu3g2AFkOW6xVSvqHCU0GWgJgwQTza6R0DQiZ387HNJJkDfyOQ\nn+8z/FT5iVCRFp9G9vj9tWjM9kKW0ikm2lwHJc4Rh6pa2prFGWeIx/POa/g8RSp94EDx+OST9v9P\nVPyTTgLlTyhEvOHv3aI31h1Ryw/r1Ut4Gzu3i2lcTmaO8n5qaoADtKSOkCObvcfFAY8vfRwAMKU/\nTRM2N9e6OqIWstEHxeOXFxAALN6xGHcuutMr+tbUyMY2FPnfuDjgqqvE74WFHNO/Ex80ZS1Hesef\nNNK2tU5qXCpKq2mNC8aNE4/vvgtM+ZyuP1xSIpIs/vMf8lBDzLaUTE72rXVJKDn8oYZa7Pdjvai9\nFR2kiDf8LZJaoKy6TKnVn4y/VdaJuznF83riCe1shqZEpvfFxQGzVs0CAFx+yuXK49euBebPD03V\nrvT0zcj/Ar71DmqdRahIi09D7xa9vUkBqsgF5vIqD+auE7n7lLWPp58WjxfSmrQpUV5djknzJ5HG\nyHPl1luB3w5oCBEZIK8hO6SDA4mLjTPVKc3/s53QcwLmTZhH7mAXSl5eQevsMmwYMGiQdn8LVSLe\n8MewGKTGpSpls8hpWAv3IAAgCUtt3SoeX1NPVw4LZ55pPr9bxtJDUZMgDb5Zwy/TbamV1aEkvyQf\nKw/SAqcyo6es0vc5PH3O08rjP/qItDsSe4rFSjilP7I8V045xbeuNG3INOXxciHUzg5pkmRXMhZs\nWYD7v7ufNO7ee0U/iuraaizduxQJzsiYZfIZHI+OfNTUDdbptHZzjXjDD4hyfkqssrhIWEpKf9Cc\n+qiQne307CAx0Xylnrz4QjGTkQafotcDiFh4ZqbPK6amPXbrBmyma4YpcV638/DVDlrWiNfjr7d4\nafFppCpk2UsiFLRKbgXAXD/hzEyfTMJjox5THicz4+yoLg2kV4teAKAc+pXIFMivtn+FQ2WHyD24\nQ0nPrJ6kCniJw2HtM/5DGP5dRbuQtztPfft9Fbhn6D3KJdmAiAPeequJg1PkxbFCnZO62KbSPk4P\nKfmgJyRmBSkbkTsnlzQuKUmcsDKk0jVDXXjknHNENyW7lEYDOa/beeQU1enTxQJieZW4EVJj0FlZ\nvnCP3chqV6rhnzVLfMbys6D0pQ2l4W+d0hp3DLoDQ9sNJY2Thl8mRkTKuhIg5ELMGv7/eY8fAG77\nSqPruB5xxaQ0TsBePXQtxuaIVJaMJ2hZLE4nUF3NEctiUT2dFlYpLhYpaMPNZZEGZcnVvuToH3ar\np0O5XCIcUOGpAAMjlc4vXiwWQ0P1PaXGpZKbl8TGikW2Crf4bnpm9SSND+V51ym9E1qntCYbftlW\n0kxKqjT8dldVS5KcSaZy36urfbNUSvqw1UbxRmQkZGBbwTbyeSc8fo7L5l9mar9/CMN/Vuez1MWM\nUvKBrl8jIYa2ePPaa6EpOJGYKegBhGEpKPr/9s48PIoi7+PfHyFAICQQEwhHIHJDwiXK4qKvQUVA\nQUHk8lhR1yuyLqy6Kq6PoLiovK7Cu+h6rLuyKCAgggrLgktUPFhhCUJADjkFgpyBBEgIqfePmprp\nmXTPVPVMdyekPs8zT3q6q7srPd2/rvqd50BEyscoKnIm2RwQnH1SZdQvHsLishI8ecWTtvStTgnK\n5LrJ2HZ0m5JOHODG95KzpWiW2Ayfj1XzCX7rrdjm6AnlwKkDGDpvqNI+Qn+c1SQLU69Ry7tw9izQ\nti0fcDhBQnwCnsl7Rjn9SVlZwGah8vtOm8b/9u+v1E1pUhJScKjkEAbMHqC0X3w8UHhmH1btXmXr\nvNVC8Iu0zFJ+xY+0BJL3oVaxfMKd4mJg1y5n3+5Clz3usnFK+y1YADww/riyCgLggj9WdVzNWDJ6\nifI+cXHcCF9SdtqfklkVp8rfJdVNwu4Tu/H3/L8r7bd4MTD+kTKkJKQo/U+bNvG/TnuTrT2wVql9\nfDwwbx5wuqwUlzWXV5cCwFNP8VlMvL1xTkSEmkZFZdqgAX/GC0/xxFWd0+Sj/554gv81q9sbC0Qc\ni0glIUvt2kBR6XFbKWmAKAQ/EY0gogIiOk9ElrHuRDSQiH4gou1E9Lidc80aNgsA8MWeLyK0DJBc\nIa/qEZWHYh0UZESM1lUjKW++GcBj9hLtOC34B7RTG6UI6tYFTpWetm1kcyqIRlQBU51ZlZcDyO2K\ngsNq6TS6duV/vQ4KCqV2bQCXv4wv9q5SChjcvp0XVz940Lm+if6cZ/Kj9nr1gDIUY8K/xuOuHndJ\nBw0ac+I4NdgQ7syqtqG1a4HnXzpj20MpGlG3EcAwAJbSmIjiAPwZwEAAXQCMISLlYHtRwm594frI\njU9xT4bykiTp44vi0k4+gEJf+t7G95SmqW++ae98paW8ipcT/tQCO4nIAOBMWSleWzddKTI0Gp9l\nWYTB+s6P7nT+ZAac1iOrUlEBoA2v16vibuuUt5URoZ9X9lSqwx9yFUPqNdcElp1O1aA6INy7FzjW\nfK6y+7HAtuBnjP3AGNsWoVlvADsYY7sZY+cAzAVgK1Slb0ZfOYNtKRf4pafkp9xC8DvlLQLw/XGr\nigAAGspJREFUYDIRLXj1u5GTzglSUgCcaAX8Y7nS+cSN2ru30m5KqBjJgujwKQAoRZXOmcP/Llhg\n75Qy2LXDRItRwFQFEhIAnOfXQqWehRO++6GIYjmqZRNr1eXtVeJOjLlwnBrxC5RVuQ0PAH2m21IB\nA87r+FsAMJYG/sm3Tpn0xHSp7Ja9ujZE76MzcPKkvFDaxbMPBKUUiDVEhB7pPQBASSXgl61H5Qt3\nG8nKsrWbs4zi9QmKz8jftHfcwf8OH+5EhwLYyrNTTy31MRAo+APw4CKnUXGH7tULQIVP8CuM+G/z\nBZXHsgBLKELQqY74Ow/nSYhql8nXVBXOHvn5zhrgb+6sXuUs+RF7qcwFYQU/Ea0goo0mnyGSx1fK\n8jRp0iT/Jy8vL2jbwi0Lce/HkXOml1ecQ8d6V/qLW8gg8qD3VXMPVuYXLfibpbisGIdL5PKqvrD6\nBaDRXmSmq7nnpKQAr7+u3EVXWb6kaiQzM2Knuln6WAVXYx8i4+NytYmcMhP6TACgFmiXlgagCy+C\npFrBDnDOEAoAw7vwN/+8gnlK+xU05+bFj3/zsvQ+QvA7GWQHABcl8JeRrOozLy8PRav2AquAm7bY\nCz4KK/gZY/0ZY11NPh9LHn8/gAzD9wzwUb8pRsGfk5MjeYpgys6XoVHDOpXq1VYFxvcZ7/fzFkW5\nI/HSV7zwRHpjeZsFwNO2/s//qPXPbb5/U11gOo3wGpmzcY70Pr37BkafsjYVUWDnuMNZk/804E8Y\nnT1aKX2JsZJYcZFaoqfGjZ21lQk7zCvfvmLvACXyZc7E4NFpNc+hEu5tJDuLycnJQZeRXYB+wIAh\nj9k6Z6xUPVY/9VoA7Ykok4jqABgFQN0HEHKGxOKyYmw5sgWNkuKxRPIsVoWYnULkcZG1xotMj2dO\n14JKllynA9KiIamkF/D1I8B5OaHipIE6FPG7LN2xVHqfDqlt+cK/n5UumH7ElwS0lb3yCkok101W\nUo0IQQQAuQ/K6ThEac8NG5S6FhV2UlGoIGx/TiQ5NCJcvP/4pXxqjO5NuwMA5s2xZ5eKxp1zGBHt\nA9AHwKdEtMy3vjkRfQoAjLFyAOMALAewGcA8xtgWq2OGY//v9kds8+znvI5mHaqHjRvlvCUmTrTT\nG/uoGkRFSoMNG3jhaFnOnHFH8BfkFiC5rrzPKGMMJxusAwpGSO/jZtbUj0bx/MgqxsPatQF8NgX4\n4mlpwX/4MK8Yd3l0qlop3lj3hlJR+zPnzqAx4y+zPdsTpfYRHj1Oug+HopJT3y5duzrvbtu/LY8O\n23JEXjSKNBqff2bvrRSNV88ixlgGYyyBMZbOGBvkW3+AMXaDod0yxlhHxlg7xpjt8sspCSl+i74V\nh09zvXlCbe6eUyxxX4ip9ka1vE+26ZfZD/G14qVHK/mF+fh1R/52kvWP3rCBCxY3BH/n1M44W35W\nWlD+ePxHvlDGBcqTT0beR1aYxoK2KVzgqfiJl1ecw0MP8pGXbF+3b+cRrlWRlTtXohgHgUkM7VvL\nubqJrJ6Jcu+JqBCz/1ELRjl+roULHT8FAGB45+Homd5Tur0o3SiM8KpUi8hdgL/hGBgWbVlkuv3E\n2RP+iMt6cVziRUq6dvRooHalU6kNQomPi8e5inMY9J58LeCtRTx+QdbdtAd3HnI0BYWAiFB6vhT1\n/yj3lhGBKhel8FtPpgBJqXrtjahRcZM7V3EObTPj0batvODfuxdoo5ZOyjYP9HpAqX3u0lycIx5r\nIuMVVlYWeNacDIIUHH+cj9b+vevfjp4nMRFItxc7qUx2k2z8YdUfpJ0+4oi/affvu8AFv+ChpQ+Z\nrjcGZowYxq0xCxcirF582LCAbtKpEHMrZPyJRVj6hGyeMEQ1zsCJPPzR0vttHliwYn4mADn9qczM\nLdbICn7GGBZvXYzatWqjqEg+rfeBA0Dz5lF0UIHxfcajfUp7W6UUT0rkDisstNGpKLCb6uPKkzOl\nn/MZM/h958bgCQhEJPtnxGHYfHizvzBTeloNEfxWer1fLeLOw9lNstGkCeGpp/gPl59vfSyjKsRt\nwS/DYyu4xb5Xl0a49FI5I2dViwINRUQtJ9bjT5SMx8RvfuNkj8yRsVuUV5Rj+Y/LsfvEbhw/exxH\njsjVbT5xggcHuSX44+Pisf3Ydn/5Tlkee4zPTCK9L9yIqrZL3u480GSuIp71+EhpQ+2yZfyvk/77\nRoTgl6khkvUan4bd3u12WxlUgWoo+EOzdO4/uR9dZnbBV/u+AgDkXpoLIKAe2LHD+ljG1LFeCP6N\nh8IbFlbsXAGAC8nBg4Gnn0ZEN9WPfY62b7wRix7GFmMiKjEbkRH8Ire7Wx5Y0/pPk5qRfVDwgV9l\np5IKQAQKuqVGEPrgvD15Svv17w+sWhU5WlpUIevVy0bnHOa7/YHqVg0T6qKkJLxMEISEETnOoWLu\nSaWSzkWoe+xQ7QR/BasImrLO3TQ3yBrepyUvuygEfzidq/Ft7oVapNtfullu++nkT9hbxGsn1o2r\n638xhTPwnj4NDPVl4HXTh//iRjzCZdvR8Bk8Zv5npn/ZWE84EnXq8BGYW+6pe4v2YtEPiyKm7zUm\n1lJJBXD11cCIEe7ow4GAMVTV/THJFzoSKRjyzBleqvHbb+30zj0SE/jN1kmizvrZs8A99zjcIQM7\njvO3UZ+/9pHep3E9+0UPqpXgF0U7aj0b6LbxgWvTuA16NuOW8Y4d+boffzTXQX73HTB7Nl/OzXU+\nCZMVFcxcN3Pk9BH/cv34+v7RYbiHcL/B49Vp32Mja+/jaX8f+ETOiJiRlOF/0cr08+hRXgrQLURR\njP2nwrsQ373kbv+yMegpEhUV7ubnETmI1h+MnORQJP0qyC3wPxPhXrgffcQ9s5KS3FOLGPmg4APp\ntnV810FGNdW6Na+u5hYdUtRTsrxwrZrqzki1EvxXZ1ZObmYU/P+8LVAv9aGHuG548uTKqRgOHQok\nL3vwQWDmTPdGX0DwFM1qVCmmfJNzJoOI/CP4sjADy5KSwEPqZtCTSHMbrigEY8y//ZNbP/ELiXXr\nIh//2DF3Bf/0gdPRpnEb/HgssqFNcK7inJSqY8cOro5z099djPhPlZ2K+ILq9Sb/J9IT09HEF+R6\nOoz24dlngZUrvQsW/GbfN2G3G+NmZGNoiou5xsDNwdPUa9U93VXyKIVSrQS/cXS8+fBmnC0/i0mf\nT/KvC7X2ixFL6I379deBZS9cBXc8HFAyWnmP9H2Hv61aJfPQznbt+CgxXH9PnuR61qQk+B9atzl4\nylwXlV+YjzX71wDgqiEx4v85Qt69khLucpuiVrEyKpLrJaNb0264epZ8FtX7e92PVasi+7G3b8/V\ndW5GjBuzjopYl0g0rtcYzZoBEyaE9+wRAyY3UjIb+e5erruPNCvbemSr0nHLy4GGDflz5nSqBiOy\nRlo7nlmm54vJUVyiZVKganjWa1mY+mXwWzK0sIcY1Yc+jEZ9viit5iaZjTL9y5HcBod2CpTNKy7m\nBcetfvuTJ7nQd7LkohVT+k0BYG2c+noff9u+O/RdNKzbMMiwbvX/lJby366kJKBvdgsZ7wrB+ze/\nj8szLkd8PP+NZHz5nUwBHoo/2AfAuKXWFeB+OMKld+6luf7RccOGcoJ/797o+6mCKP05f/P8sO3e\nXv82AODFa1+UOq54IRcVuTviNxLOtrRy58qYnKNaCf7bu90e9L2otAidUwN1XUIFv6hwZLTit2gR\n7PHiVFFoWcwE/5qf+Mg4oXZCUG3bNXy1P+jMyJ49wH33eee7L0aVoTn2i8uKMfj9wRi3jAsckfY4\nLi6QxtdKUK403ONuquKAQDIwGUZnjwYQ8Az7xkL7YEw9MXKk3Z6pY8xzdfTMUct2wk1wxqAZ/nUp\nKeEdCtz+XQTGSPGSssjTp19m/DLo+zYLPwQRM1JR4Z3gD+fZc91sbuc88bh6KnAj1Urwh+ropq+Z\nHuTRE5rIzWxUdeAA8BX3/MSUKd6Vvbux440AeJbB178Lzp8sLPsiQVsoTZtWFpYDB/IHVDY5XawR\ndouis8H+pgdPHcSn2z/1fze+nIUKzkztcewYMHgwX3ZzdCy4oxsvAFDws3nthLfWvQUA6JHew39f\nipfu1RYaoqefDiy7KTCJCOwZPq3KTsu2bCdUqSIPDMC9dbaG0ZaIwchzz0XfTxWymmThmaueAQDs\nO7nPtM2tC28FAIzMGokrWl0BIGD7srKVrV4dWPZK8ItBUijGezG5XnRGomol+AHgh4cqKxNnDZ2F\nvhl9K70YjALjyisDy8IX3svslYtHL0bTBk3x3BfP4eF/BnJLTPjnBP9yODWQsdrR0KEBHesH8k4O\nMUUIi6LSYMEfqrs0Cn4h8NPSgE8+CT6em8ZcM7o25dPF7NfNBeV9n9wHAGid3Fr6mMfkXf0d4bau\nt5n68v9t/d9w0UvmF7xhQ7nI6RipnqWpRbX8alCrerVzNvHU2kZnirg4LhfmzjU/7mg+ecPChd4N\nCmdtmGXqeiubyl2Gaif4zdIZD+4wGKvvXl1pvVG3v3p1ZTcur1w4Bcb0tzSZsHDzQry65lXL9sbc\n7UaD9eLFgWWvEn+J2dZNc29CfmEgXDrUv91Y6MT4P4SLzvW6GPmu47sst6kUjHdbOIby3sb3sPnw\n5koGz892feYPQPtkTPAbODGRRxl/byJzjM+TFxHjImnj9mPbw7YLrapWUgI8/3z4mcywYVF3LyqW\nbV8W9P3I6SNKsSKRqHaCP1Sdk5KQgsYJ5or6+Pjghy3Uz9hrwS8QN/At82/xr9s6bisKcoPVDEaD\nrVWqYq+mp0M6DvFXa+r5RiDLoDFI7e0hb6Nrk67+78Ygs5KSqhv6//uVvw/63vX1wP8wtsfYoG0t\nff4H06cHVIoCr9Np/OFK7pjeaWZwBJNxdHl9++uDtomZV/fugUp1AuOs023jOxBQTY2YP6LSCNlY\nccyqtGFoLIXRc8yLwcbPj/6MZbdxgV9YHBx8lDYtDWMXj43Zuaqd4Dd6KADRhS137Rq5jRuY6fI7\nXNTBX63LjM4+m/ZPIfXMvMo51Cq5FV4ZEFwVaX7B/CB11T2X3BOkP37++UDbw4eBt7jaHFtC0pLL\npG52AhGRvGDzAmw7us0/4tr08yZ/GxFUKBg/PvD3iiuCjydebPdGriDqCFdfHGx8EJHhRqEZqi5N\nSwMeeYQvh5ZUFMVkJk70Jp9Sav1U/7IIPAO4Q0Hm9EwAPBBtQLsBQfsJh45Qbz+nq6FFIq1BGpLq\n8jeoMYBTJZ5Elmon+EONGqEvAllGjQIuvTQWPYo9snrjn38GMjKC13mZbE7EHAhGLojsunLVVYFl\nMYsxFh+vVcv9YjmCFXes8C/f+dGdaPRCZB9ZIfhDefzxQM6bv/wlFr1Tp9/F/fzLx88cR+tXW6O0\nvNRvfBcuuaGY2cJ27eIxCQB/gXsRtZuRnIG0+mkAgp0KhOswYO4fv8unubPqc6i9yU1E/V1jPYjL\n3rrMtE00VDvBXyeuDqb15873c4bPwaxhs2wdZ8aMyG2cZt8Ec28E40gmFON0u2nTWPcoOoz67lB9\nZLem5nmJVlkH+wLwZiQpMA4yvv3pW5wpP4P//TpQBm38LypLeSt32pde4nEJs2d75wIJBH6HzjP5\nlFEE1QHW6Y7NVHBOFlRXQQz8hL8+TSYMmB0Y4ZsZfkXUdEaGeYT7IPlSGTGnw0Ud0PGijli8dTGO\nnuaut8fPBqYi9ePr48jvj1jtLk21E/xAQLc3Ons0rm1zbcT2ZgnLvIpsNdIyqSUOP1bZKf+i+tZv\n9HfeCX9ML/XInVIDuuO6U4LDHi9vaV5j0KhZ+N3vKm9/1drW7Tip9VMxMit41iJSZQPAry8xT74/\nzjpGCi1axKRrtll/P8/XIxwLrvp7YMpllc7BWGNACMpneZVTv8rRK4Tg/3DLh2g4NdiIm1A7AdlN\nzL2ypk3jtTheNInr8vLFTERIrJOI/MJ8pE5LrZT4cEDbARZ7qhFNzd0RRFRAROeJ6JIw7XYT0fdE\ntJ6I/mP3fEZu7HhjpWCucMjkSPeK1PqpGNhuIMZdNg5T+k3Bnd3vNB1JyvDqq0B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"text": [
"<matplotlib.figure.Figure at 0x7f7bc2d6c8d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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F6MjMMfmzyfjtwG/mBscIt5JyIcsc/lAWcWUkZGDt9WpSAIFc3/96ZCcFzYhu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\nG/uoGkRFSoMNG3jhaFnOnHFH8BfkFiC5rrzPKGMMJxusAwpGSO/jZtb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"text": [
"<matplotlib.figure.Figure at 0x7f7bc27d0950>"
]
}
],
"prompt_number": 75
}
],
"metadata": {}
}
]
}
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