{ "cells": [ { "cell_type": "markdown", "id": "f787b653", "metadata": {}, "source": [ "# Simple Regression and Prediction" ] }, { "cell_type": "code", "execution_count": 1, "id": "48388a11", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:03:42.141348Z", "iopub.status.busy": "2021-11-26T22:03:42.140040Z", "iopub.status.idle": "2021-11-26T22:03:47.796303Z", "shell.execute_reply": "2021-11-26T22:03:47.797317Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING (pytensor.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "\n", "import gumbi as gmb" ] }, { "cell_type": "markdown", "id": "3f84b67a", "metadata": {}, "source": [ "Use gumbi' plotting defaults for stylistic consistency, good dataviz practice, and aesthetics" ] }, { "cell_type": "code", "execution_count": 2, "id": "1c4ee85d", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:03:47.806240Z", "iopub.status.busy": "2021-11-26T22:03:47.805517Z", "iopub.status.idle": "2021-11-26T22:03:47.818480Z", "shell.execute_reply": "2021-11-26T22:03:47.819046Z" } }, "outputs": [], "source": [ "plt.style.use(gmb.style.default)" ] }, { "cell_type": "markdown", "id": "5de84fc6", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "markdown", "id": "3614d03f", "metadata": {}, "source": [ "Load in a DataFrame and store as a DataSet:" ] }, { "cell_type": "code", "execution_count": 3, "id": "6f3eda98", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:03:47.828549Z", "iopub.status.busy": "2021-11-26T22:03:47.827304Z", "iopub.status.idle": "2021-11-26T22:03:47.946800Z", "shell.execute_reply": "2021-11-26T22:03:47.946070Z" } }, "outputs": [], "source": [ "df = pd.read_pickle(gmb.data.example_dataset).query('Metric==\"mean\"')\n", "outputs=['a', 'b', 'c', 'd', 'e', 'f']\n", "log_vars=['Y', 'b', 'c', 'd', 'f']\n", "logit_vars=['X', 'e']\n", "ds = gmb.DataSet(df, outputs=outputs, log_vars=log_vars, logit_vars=logit_vars)\n", "ds.tidy = ds.tidy[ds.tidy.Color.isin(['cyan', 'magenta']) & (ds.tidy.Pair == 'burrata+barbaresco')]" ] }, { "cell_type": "markdown", "id": "2de36752", "metadata": {}, "source": [ "## Building and fitting a model" ] }, { "cell_type": "markdown", "id": "0dabd73c", "metadata": {}, "source": [ "Build and fit a GP model with linear + RBF kernels for each of `X`, `Y`, and log `Z`:" ] }, { "cell_type": "code", "execution_count": 4, "id": "c1296eb0", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:03:47.956134Z", "iopub.status.busy": "2021-11-26T22:03:47.953557Z", "iopub.status.idle": "2021-11-26T22:04:25.685938Z", "shell.execute_reply": "2021-11-26T22:04:25.685112Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "gp = gmb.GP(ds, outputs=['d'])\n", "gp.fit(continuous_dims=['X', 'Y', 'lg10_Z'], linear_dims=['X', 'Y', 'lg10_Z']);" ] }, { "cell_type": "markdown", "id": "5bb58266", "metadata": {}, "source": [ "## Making predictions" ] }, { "cell_type": "markdown", "id": "dc52a2d7", "metadata": {}, "source": [ "Predict at a single point using a ParameterArray. Note that you can build a `parray` using a method from the `GP` object; this is a convenience method that allows the `parray` to inherit `gp`'s `stdzr` instance.\n", "\n", "The result is an UncertainParameterArray containing the mean and variance of the prediction:" ] }, { "cell_type": "code", "execution_count": 5, "id": "fadda2aa", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:04:25.695101Z", "iopub.status.busy": "2021-11-26T22:04:25.694186Z", "iopub.status.idle": "2021-11-26T22:04:31.338098Z", "shell.execute_reply": "2021-11-26T22:04:31.338889Z" } }, "outputs": [ { "data": { "text/plain": [ "d['μ', 'σ2']: [(0.74650163, 0.00236929)]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "point = gp.parray(lg10_Z=8, X=0.5, Y=88)\n", "pred = gp.predict_points(point)\n", "pred" ] }, { "cell_type": "markdown", "id": "cf316a2b", "metadata": {}, "source": [ "You can predict over a range of values for a given dimension while specifying a specific value for the remaining dimensions. The result is an UncertainParameterArray containing the mean and variance at each point:" ] }, { "cell_type": "code", "execution_count": 6, "id": "c1a990aa", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:04:31.355782Z", "iopub.status.busy": "2021-11-26T22:04:31.353653Z", "iopub.status.idle": "2021-11-26T22:04:32.532879Z", "shell.execute_reply": "2021-11-26T22:04:32.532098Z" } }, "outputs": [ { "data": { "text/plain": [ "d['μ', 'σ2']: [(0.96703721, 0.0281973 ) (0.9618966 , 0.02749476)\n", " (0.95720116, 0.02661119) (0.95297224, 0.0255096 )\n", " (0.94921989, 0.02415902) (0.94594046, 0.02254228)\n", " (0.94311484, 0.02066441) (0.94070747, 0.01856042)\n", " (0.93866644, 0.01629977) (0.93692469, 0.01398553)]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gp.prepare_grid(at=gp.parray(lg10_Z=8, X=0.5))\n", "gp.predict_grid()\n", "x_pa = gp.predictions_X['Y']\n", "y_upa = gp.predictions\n", "y_upa[:10]" ] }, { "cell_type": "markdown", "id": "6a3402f3", "metadata": {}, "source": [ "## Visualizing predictions" ] }, { "cell_type": "markdown", "id": "9202f3aa", "metadata": {}, "source": [ "`ParrayPlotter` provides a convenient way to plot structured arrays and switch between natural, transformed, and standardized views and/or tick labeling for any dimension. By default, all arrays are plotted and labeled in \"natural\" space:" ] }, { "cell_type": "code", "execution_count": 7, "id": "b71d502f", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:04:32.546713Z", "iopub.status.busy": "2021-11-26T22:04:32.542847Z", "iopub.status.idle": "2021-11-26T22:04:32.803431Z", "shell.execute_reply": "2021-11-26T22:04:32.804416Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pp = gmb.ParrayPlotter(x_pa, y_upa)\n", "pp.plot();" ] }, { "cell_type": "markdown", "id": "06fcd745", "metadata": {}, "source": [ "Arrays can be viewed in \"standardized\" or \"transformed\" space by passing those values as the respective **_scale* argument. By default, the array the tick labels remain in \"natural\" space unless an alternative is specified as the corresponding **_tick_scale* argument." ] }, { "cell_type": "code", "execution_count": 8, "id": "86af9096", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:04:32.889552Z", "iopub.status.busy": "2021-11-26T22:04:32.825834Z", "iopub.status.idle": "2021-11-26T22:04:33.016656Z", "shell.execute_reply": "2021-11-26T22:04:33.015668Z" } }, "outputs": [ { "data": { "image/png": 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STJkyBeXl5bj//vvxk5/8BImJiUGPgyjcRLcb9uoTsNfUQmM0QGs2QWs2QRMXB0HFWl1ERF2J6GTr0UcfHZR+nnrqKQCAWq3GCy+8oCRa7VJSUvDkk0/immuuQXNzM1599VUsXLhwUGIjCgtZhs/hhM/hhLOuAYJKBZVOB7VOC5VOC7VOB5VWA0GlAtQqCKqTN7Xa/yeLqBJRDInoZGsw2Gw2fP311wCA8847Dzk5OV22u+KKK2CxWGC1WvHBBx8w2aKYIksSRJcLoqsPxVEFwZ+cqdUQtBpoDHqojUZojAaoDXomYkQUdZhs9WLTpk1wn7waa/bs2d220+l0OOOMM7B8+XJs2rQJXq8XWq12sMIkihyyDFkUIYoi4PHAZ3cAaAYACIIArSXevxjfbApvnEREQRI1C+RDZf/+/cr9UaNG9di2/Xmfz4fDhw+HNC6iaCTLMjytVlhLy9B6uBTuphbIEqvaE1FkY7LVi4qKCuV+d1OI7XJzc7s8riO32w2r1arcZFkOTqBEUcbndMFWWY2Wg0dZYJWIIhqTrV60tbUp983mnmsMmUzfT3vYbLYu2zzxxBNISEhQbtXV1cEJlChKSV4vrKVlcNY18JcTIopITLZ64eqw4Fen0/XYVq/XK/edTmeXbR544AG0trYqt6ysrOAEShTNZBmOE3VoO1YOyecLdzRERAHhAvleGAwG5b7H4+mxrbvDtiZGo7HLNnq9vlNSxiuviPrOa7Oj9XAp4ofnQtPNzxgR0VDDka1exMfHK/e7mxpsZ7fblfu9TTkSUf9IXh/ajpVzz0YiihhMtnrRcVF8ZWVlj207LorvuFieiIJL8omwHiuH5PWGOxQiol4x2erFmDFjlPsHDhzosW378xqNBsXFxSGNiyjWSR6vP+HiPo1ENMQx2erFtGnTlIXxq1ev7radx+PBd999d8oxRBQ6osuNtuMVrMVFREMak61exMfH49xzzwUArFixotupxA8++ABWqxUAcPnllw9afESxzmd3wFZeFe4wiIi6FfPJ1uLFiyEIAgRBwCOPPNJlm/vuuw+AvzL8nXfe6d9mpIOGhgb87ne/AwAkJibi5z//eUhjJqLOPNY2uBqbwx0GEVGXIrr0w9q1a3HkyBHl7w0NDcr9I0eOYPHixZ3a33zzzf3q55xzzsFPf/pTLF26FB9//DHOO+883H333cjKysLu3bvxpz/9CeXl5QCAv/zlL0hKSupXP8HkaHPgf+9/CePG5mDilGLEmQy9H0QUwRw1tdCaTVDrOYVPRENLRCdbr7zyCl577bUun1u3bh3WrVvX6bH+JlsA8K9//QtWqxWfffYZvvnmG3zzzTednlepVHjooYdw++2397uPYNr09TYc2nkEh3YewcfvrMHY0woxdcYolIzOhUoV8wOaFIVkSYKtshqWwnzWryOiISWik63BZDQasWzZMrz55ptYvHgxdu7ciZaWFqSnp2PWrFn49a9/jRkzZoQ7TMXRPaXKfZ9PxM4th7Fzy2FYEuIwceoInDa1BLnD0/ilRFHFZ3fAVd8IY1pKuEMhIlIIMjcbC6ucnBxUVVUhOzu71zpegTp+oAwr3/gC2zcdhN3mOuX55BQLJk4pxsQpI5CVm8LEi6KCIAiwFBdAY+TUORGFTiDf30y2wiyUyZYkimjeexA+n4gDe8qwZcMB7N99HFIXl8knJcdjzMQCjJ1YgMIRWVCr1UGNhWgwqQ0GJBQXQFDxFwgiCo1Avr85jRgDNBo1xp1WiHGnFcJhd2HPjlLs2HwYRw5Woj3Xbm5qw7pvdmHdN7tgjNNjxKhclIzJRcmYPCQlx/fSA9HQIrpccDVwOpGIhgYmWzEmzmTA9JljMH3mGLRZHdi97Sj27CxF6aEqiKJ/xMvpcGPXtiPYtc1/pWdqeiJGjMpFYUk2CoozYUkwhfMlEPWJs64B+qREqLT8mCOi8OKnUAyLt8ThzDnjceac8XA63Ti4txx7d5bi4N5yOB3fb/JbX9uC+toWrF+9GwCQkpqAghFZyC/IQM7wNGRkJXPakYYcWZLgqK2DOScr3KEQUYxjskUAAKNRj9OmjsBpU0dAFCVUltXh0P4KHN5fjrLSE5Ck75f2NdS3oqG+FZvX7wcAaLRqZOemIicvFZnZKcjIHob0rGQYDKx3ROHlbmqBYVgyF8sTUVgx2aJTqNUq5BdmIL8wA+fNnwaX04PjR2tw7Eg1Sg9Xo6KsFqLv+0X2Pq+IstITKCs90ek8ySkWpGcmISUtEanpSUhNS0RKWgIsiSbW+qJB46iphaUwP9xhEFEMY7JFvTIYdRg1Lh+jxvm/sLxeHyqO16GirBaVZXWoPF6HhvrWU45rarCiqcEKoKzT42q1CknJ8UgaZkFySjwSk+ORmGRGQpJZ+VOn0w7GS6MY4LXZ4bG2QWfhhR5EFB5MtihgWq0GhSOyUDji+7UwDrsL1ZUNOFHdiBNVjaipakRtdRPcbu8px4uipExFdscYp4clweS/JcbBkmBCvMUES6IJloQ4xCeYkJBgglbHtzD1zlFTC228mbXkiCgs+E1FQRFnMqB4ZA6KR+Yoj8myDGuLHfV1/gX2DXX+W1NjG5obrF0mYu2cDjecDjdqa5p67NcYpz+ZgJmQkGhCYtLJUbJk/yhZUnI89Fw7FvNEtwfuxmYYUpLDHQoRxSAmWxQygiAg4eS0YMckDPAnYk6HG00NVrQ029DS3IbWZrvyZ1urHa0tdni9vh77UJKy6u6TMlO8EcNSLEgeZkFyigWp6SfXkKUncoPuGOKorYc+KRGCmusFiWhwMdmisBAEAXEmA+JMBuTkp3XZRpZluFweWJvtsFrtsLY60NZqh7XFDqvVAWuLHa0tNlhb7fB5xW77src5YW9zovxY7SnPmeKNSM9IQmb2MGRkD/NfTZmVzNGwKCSLIlyNTSx0SkSDjskWDVmCIMBo1MNo1CM9q/vpn/ZRstYWG1qabP6RsqY2tDTb0NzoX6Tf2mLv8lh7mxOlbU6UHq7u0C+Qmp6EnPw05OSlISc/Ddl5KVy0HwVcDY0wpCRD4NWwRDSImGxRxOs4SpaZ3fWohdfrQ3NjGxrrW08WaW1GfW0L6k40o83q6NRWloG6E82oO9GMbRsPAgBUKhWy81JRUJyJ4UWZKCjKhNkSF/LXRsEl+US4GpthTB0W7lCIKIYw2aKYoNVqkJaRhLSMJIwe3/k5u83pv4Ly5JWU1RUNqK5q6FRLTJIkVByvRcXxWny7YgcAID0zGcWj/BcFFI3MhtGoH8RXRP3lqm+EYVgSR7eIaNAw2aKYZzIbUTQyB0UdFvH7fCJOVDWioqwOFcdrUVZ6AnUnmjsdV1vThNqaJqz7ZhcEQUDu8DSlHll2bhpUKpYZGIokn89fWZ5XJhLRIGGyRdQFjUbtX7OVn4YZZ48D4B8BO370BI4dqcaxI9WoOF4HWfZvYyTLMsqP1aL8WC2Wf7IJ5ngjRo7Nw5jxBRg5No8L7ocYZ30D9MmJHN0iokHBZIuoj0xmI8ZOLMDYiQUAAKfTjdJD1ThyoAKHD1Z2Kj9ha3Ni63cHsfW7g9Bo1BgxOgdjJxZizIQCxHOtV9hJXo5uEdHgYbJF1E9Go75T8tXS1IYDe8twYE8ZDh+ohOdk0VafT8T+3WXYv7sMgrAKhSOyMGFyMcZNKoQlwRTOlxDTnPWN0CcnQeB0LxGFmCC3z4NQWOTk5KCqqgrZ2dmorKwM6rklUUTz3oNBPSf1jc8r4ujhKuzdeQx7d5TC2npq6QlBAApHZGPClGJMnFIMk9kYhkhjmyk7E4ZhSeEOg4giUCDf30y2wozJVvSTJBmVZXXYs+Modm8/ioa6U/eEVKkElIzOw2nTRmDsaYUwcI3XoFDrdUgoKeKeiUQUsEC+vzmNSBRiKpWAvIJ05BWk48LLZqCmqhE7txzGrm1HlMRLkmT/FOTeMmi0aoydWIjJ00tQMiYPGo06zK8geoluD7zWNugSLOEOhYiiGJMtokEkCAKyclKQlZOCCy49A9WVDdix+TB2bDmMlqY2AP4pyJ1bDmPnlsOIMxkwcUoxJp8+EvmFGRyBCQFnQxOTLSIKKSZbRGEiCAKyc1ORnZuKCy+bgbLSE9i++RB2bT0Mu80FAHDYXdjw7R5s+HYPklMsmHz6SEyePhKp6YnhDT6K+OwOeB0OaON4lSgRhQbXbIUZ12zRD4miiEP7KrBt40Hs3XkMXq/vlDZ5BemYPH0kJk4dAXM8F9YPlM4Sj/jhueEOg4giCNdsEUUwtVqN0eOHY/T44XC5PNiz/Si2bTyEIwcr0P6rUXsB1Y/fXYOSMXmYfPpIjJ1YwM2y+8ljbYPo9kCt54UJRBR8TLaIhjCDQYepM0Zj6ozRaG22YfvmQ9i28SBqqhoBnFxYv8df20un12LshAKcNm0EF9b3g6uhEabszHCHQURRiMkWUYRISDJjzrzJmDNvMmqqGrB90yFs23QIrc02AIDH7cX2zYewffMhxJn0GD+pCBOnjkDhiGyo1dyWpjfu5lYY01Oh0vBjkYiCi58qRBEoMzsFmZen4IJLZ+DYkWps23gQu7cfhdPhBgA47G5sXLsPG9fug8lswLjTCjFhcjGKRmZDreaIV1dkSYKrsRlx6anhDoWIogyTLaIIplIJKCrJRlFJNi6/ZjYO7SvH9s2H/AvrPf6F9XabS0m84kx6jBo3HGMnFqBkTB6Lp/6Aq6EJxtRh3KCaiIKKyRZRlNBo1BgzoQBjJhTA4/Zi/+7j2LXtKPbvOa4kXg67G9s2HsS2jQeh1qgwYmQuRo8fjpKxeUhJTQjzKwg/WRThbm7lFj5EFFRMtoiikE6vxcSpIzBx6gh43F4c2FOGXduO4MDeMrhd/g2yRZ+kVK0HgJTUBIwcm4eSMXkoGJEFo1EfzpcQNq6GJuiTE1lAloiChskWUZTT6bWYMKUYE6YU+zfIPlSJvTuPYd+uY2ht+X6D7Ib6VjSs2o11q3b7C67mpSpTlMOLM2Mm+RLdbnhtdujizeEOhYiiBIuahhmLmlK4yLKM6ooGHNxXjoN7y3D86AlIktRlW0EA0jKTkV+QgeFFGcgryEBqehJUqugc/dGaTbAU5oc7DCIawljUlIh61T56lZ2XinMumAKX04PDBypw9GAljh6qwonqJqWtLAO11U2orW7CpnX7AAB6gxbZuanIyU9DTn4asnNTkZKWAFUULC732uzwuVzQGAzhDoWIogCTLSICABiMOoyfVITxk4oAALY2J0oPV6H0UBXKSk+gurIBkvT9QLjb5UXp4WqUHq5WHtPqNMjMHoas3FRk5aQgOzcFGdnDIrKyvauhCeacrHCHQURRgMkWEXXJHG/EhMnFmDC5GIC/aGpFWR3KSmtQfqwOVeV1aDlZULWd1+NTthJqJwgCUtMT/Ztu56Uid3g6cvJSodMP7QTM09wKKSONRU6JaMD4KUJEfaLTa5UF8+1sVgcqy+tRUVaH6sp6VFc0oKnB2uk4WZZRd6IZdSeasX3zIQD+BCwjKxm5w9NRMCILRSXZSEqOH9TX0xtZllnklIiCIqBkq7y8PCRB5OXlheS8RBRaZkscRo3Lx6hx3y8mdzrdqKlsRHVFPaorG1Bd0YAT1Y0Qxe8X38uyjJqqRtRUNSprwJJTLCgemYPiUTkYNS5/SFz96G5kkVMiGriAkq2CgoKgByAIAnw+X9DPS0ThYTTqUTgiC4Ujvl/v5POJqK1pQmVZHSqO16KirA4nqho7rQFrarBiU8M+bFq3z19wdVQuxk8qwtiJBTCZjeF4KZB8ItwtVhiSE8PSPxFFh4CSLVaJIKL+0GjU/jVbuak4/ayxAACPx4uKY7U4eqgKRw9VoezYCYg+/+iX6JNwYE8ZDuwpw3tvCBg1Lg9nzp6AkjF5g15uwlXfCH1SAoucElG/BZRsLVq0qMfnX3jhBWzevBlarRbz5s3D9OnTkZ6e7l+zUVeHzZs3Y/ny5fB6vZg2bRp+9atfDSh4IopcOp0WRSNzUDQyB4B/cf3x0hrs3XkMe7YfVQquyrKM/bvLsH93GZJTLJhx9jhMO3P0oI12iW43vG026CxDa00ZEUWOoBU1/fnPf45FixbhvPPOw6uvvors7Owu21VVVeG2227Dl19+iZ/97Gf45z//GYzuIxaLmhKdSpJkVJbVYc+Oo9i+6dApVz1qtGqcNXci5p4/GXGm0NfC0priYCkaHvJ+iChyBPL9HZRk67333sNVV12FadOmYf369VCr1T22F0URM2bMwNatW/HWW2/hqquuGmgIEYvJFlHPRFHC/t3HseHb3Ti0r6LTc8Y4PebMm4yzzpkQ8lpeCcUF0MSFZ+0YEQ09gXx/B+USm3/84x8QBAH33ntvr4kWAKjVaixcuBCyLOPll18ORghEFKXUahXGnVaI235zKe5/9HqcNXcCNBr/54zT4cbnH23Akw8tweb1+0K6rtRZ3xiycxNRdAtKsrVr1y4AQElJSZ+PaW+7e/fuAfdfXl6O++67D6NHj4bJZEJycjKmT5+Op59+Gg6HY8DnB4B9+/bhrrvuwvjx42GxWKDT6ZCamoq5c+fib3/7G9ra2oLSDxF1LzU9EZdefTbuf+x6TDtztLJo3drqwDuvr8Qrf/8ELU2h+Vn0WNsguj0hOTcRRbegTCPGxcXB7Xbjs88+w/nnn9+nY7788ktceOGFMBgMA0qIli1bhuuuuw6tra1dPj9y5Eh89tlnKCws7HcfzzzzDH7/+9/3WKIiPz8fH3/8MSZMmBDQuTmNSNR/tdVN+Pw/32HvzlLlMYNBhwVXntUpGQsWw7AkmLIzg3pOIopMgz6NmJ/vL2j4+uuv9/mY9rYDKWi6c+dOXHXVVWhtbYXZbMaf/vQnrF+/Hl9//TVuu+02AMDBgwcxf/582Gy2Xs7WtXfeeQf33XcffD4fdDod7rnnHixbtgwbN27Em2++ibPOOgsAUFZWhgsuuKDbpI+Igi89Kxk3/+oi/OzOi2FJMAEAXC4P3l2yEq/+3yewttqD2p+7uRWSTwzqOYko+gUl2br00kshyzKWLl2Kp556qtf2Tz/9NN566y0IgoDLL7+83/3efffdcDgc0Gg0WL58OR588EHMmDED55xzDl5++WUllgMHDuDZZ5/tVx+PP/64cv+DDz7As88+i4suugjTp0/HNddcgzVr1uCKK64AANTU1ODVV1/t9+shov4ZPX44Fj58DabOGKU8dnBvOf73iXdQUVbbw5GBkSUJ7samoJ2PiGJDUKYRW1paMGbMGNTW+j/UJkyYgJtuugnTpk1DWloaBEFAbW0tNm/ejCVLlmDHjh2QZRmZmZnYu3cvEhMTA+5z8+bNmD59OgDg9ttvx0svvXRKG0mSMG7cOOzfvx9JSUmora2FVtv3K5asVisSEhIAAJMnT8bWrVu7bLdr1y5MnDgRAPDjH/8Y7733Xp/74DQiUXDt330c772xEtZW//IEjVaNK68/B5NPHxmU86s0aiSOGsEtfIhi3KBPIyYmJmLFihXIysqCLMvYtWsXFi5ciLPPPhujRo3CyJEjcfbZZ2PhwoVKopWTk4OvvvqqX4kWAHz00UfK/VtuuaXLNiqVCjfeeCMAoLm5GatWrQqoD4/n+8WwPa35KioqUu673e6A+iCi4Bo9fjju/sNPMbzIv7bK5xXx1qKv8On76yBJUi9H907yiXA1NQ/4PEQUO4L2q9mYMWOwd+9e3HPPPUhMTIQsy13eEhMTce+992LPnj0YM2ZMv/tbs2YNAMBkMmHKlCndtps9e7Zyf+3atQH1kZKSguTkZABAaWlpt+2OHj2q3A/kikwiCo14Sxxuv+cynH7W958xq7/ajkUvLIPH4x3w+V11jZCDkLgRUWwIaLue3lgsFjzzzDN44oknsHXrVuzevRvNzc2QZRnJyckYP348pkyZAp1ON+C+9u/fDwAoLi6GRtP9yxg16vs1HO3HBOIXv/gF/vKXv2Dbtm34/PPPceGFF57Spn1dl1qtxs9//vOA+yCi4NNo1PjxdXORmZOCj99ZA0mScWBPGV79+ye45c6LYTD0/3NI8vngamqGMWVYECMmomgV1GSrnU6nw4wZMzBjxoxQnB4ulwsNDQ0A/HOmPUlKSoLJZILdbkdFRUWPbbvyhz/8AVu2bMGKFStw+eWX49e//jXOPfdcpKSkoLS0FC+++CJWr14NtVqN//3f/8Xo0aN7PJ/b7e401cjNvYlCRxAEzJwzAemZyXjtxc/gcnlQerga/3zuP/j5XZfAGKfv97lddY0wJCdx7RYR9SoiPyU6FhA1m829tjeZ/JeE96f8g9lsxueff45//vOfyMnJwTPPPKNcjfjTn/4Uq1evxhVXXIF169bhjjvu6PV8TzzxBBISEpRbdXV1wDFR3whqNTRxRugs8dAnJ8GYngpjeiq08WYIfdjpgKJH8cgc/OKeS5XkqvxYLf7xt49gtzn7fU7J54OrkWu3iKh3EZlsuVwu5X5fpiT1ev8HrNPZvw/WLVu24K233up23daKFSvw2muvwWq19nquBx54AK2trcotKyurXzFR9zRGA8w5WUgaPQIJxQWIH54Lc04m4tJTEZeeCktBHpLGlCChpBCm7EzudxcjcvPT8ct7L4cp3v//u6qiHi89++GAanG56rl2i4h6F5HJlsFgUO53vGKwO+3TdkZj4F+q7733HubMmYOVK1di/Pjx+PDDD9HY2AiPx4OjR4/iz3/+M7xeL1588UWceeaZOHHiRI/n0+v1sFgsyi3YFa5jmc4SD0thPhJGFEKfnNjj9I4gCNAYDDAMS0JCcQEshfnQxvc+SkqRLSsnBb+693JYEuIAACeqm/DK/34Mp7N/VxFzdIuI+iIik634+Hjlfl+mBu12/2+ufZly7Ki2thY333wz3G43xo4di/Xr1+Oyyy5DcnIytFotCgsL8cADD+CTTz6BIAjYu3cv7rrrrsBeDA2YoFYjfngu4ofnQms29escWrMJloI8JJQUQpeYEOQIaShJz0zGrxZegcRk/+dITVUjFr+wDF5v99tx9YSjW0TUm4hMtgwGA1JSUgCg10Jizc3NSrKVm5sbUD9Lly5Vjn3wwQeVtV8/dO655+Lcc88F4K8y39zM33QHi9ZsQmJJIXSW+N4b94HGYEB8XjYsRcM5vRjFUtIS8YvfXgKT2T9KXnq4Gm/+a3m/6nBxdIuIehORyRYA5aq/I0eO9LhB9IEDB045pq86loqYPHlyj23ba31JkoRDhw4F1A/1gyAgLiMN8QV5UAWwK0BfaU1xsBQNhyknC6oeSotQ5EpNT8LP7lwAnd7//tmzvRQfLv22X1cIO+saIPXwOUREsS1ik632DaDtdnu32+gAwOrVq5X7M2fODKiPjvW7ekroAMDr/b5QYk91v2jgBLUaloI8GNNSQrrmTRAEGJITkTCyCIaUZIDr66JOXkE6bvzFBVCdXN/33bd7sOKzzQGfRxZFOGrqgh0eEUWJiE22LrvsMuX+okWLumwjSRJef/11AP4thebOnRtQHwUFBcr99or13fn2228B+L+ghw8fHlA/1HcqrQaWovx+r83qV59qNUxZGUgoLoDGFDdo/dLgGDk2H1fddK7y9+WfbMLWjYHvKepuboHX4QhmaEQUJSI22Zo+fTpmzZoFAHj11VexYcOGU9o888wzylTgb3/721M2oV68eDEEQYAgCHjkkUdOOX7+/PnKyMmf/vQnVFVVdRnLyy+/jC1btgAAzjjjDAwbxqrSoaDW62ApKoCmw9Wog0ljNCChaDjMuVlQaVinK5pMOX0kLv7x9yPf7y1ZiYrjtQGfx1F1goWKiegUEZtsAcBzzz0Ho9EIn8+HefPm4YknnsB3332Hb775Brfffjvuv/9+AP79ChcuXBjw+UeNGqVscl1VVYVJkybhz3/+M9asWYMdO3bgk08+wXXXXYfbb78dgH+7nj//+c/Be4Gk0MQZYSkaDrUu+OuzAqVPSkTCyGIYUodxajGKnP2j0zB9pn8vRZ9PxOIXPwu4BpfP6YK7qSUE0RFRJIvoxUWTJk3C22+/jeuvvx5WqxUPPvjgKW1KSkqwbNmyTuUiAvHCCy/Abrfj7bffRn19Pf7whz902c5kMuHll1/GnDlz+tUPdU9rNiE+PxeCeuj8bqBSq2HKTIchORGOmjp4rG29H0RDmiAIuPya2ag70YzjR2tgbbXj9X98jl/eczk02r6PZDpO1EGXEM8LK4hIMXS+vfppwYIF2LVrF+655x6UlJQgLi4OiYmJmDp1Kp588kls374dxcXF/T6/Xq/H0qVLsXLlStx4440oKSmByWSCRqNBcnIyZsyYgYceeggHDhzAtddeG8RXRsDJRGv40Eq0OlLr9f4aXwV5UIdpepOCR6NR48bbL0RCkr8mX1npCXzw1qqApgZlUYTjBBfLE9H3BJkLDMIqJycHVVVVyM7O7rVmWKAkUUTz3sAX+g4V2ngz4vNzImajX1mW4Wltg7O2HqK7fxXJaWioLKvD80+/D59XBABcevUsnDV3YkDnsBQO7oUcRDS4Avn+joxvMYo5/kQrN2ISLcA/DaVPtCChpBDm3Cyo+7BvJw1NOflpuOrG769Q/OTddSgr7Xkrrh+yVVRB6mdVeiKKLpHzTUYxQ2eJP5loRebic0EQTi6iL4I5LxsaI6cXI9GkaSWYfd4kAP4yMm/88wvYbX3fzF7y+mArr+TViUTEZIuGFl2iBeb8nIhNtDryj3QlIGFEITe6jlAXXnYGCoozAQAtzTYsXbwCktT35Mlrd3D9FhEx2aKhQ5+UAHNudkirwodL+0bXiSX+avSCmnW6IoFarcZ1t56v7KF4YE8ZVn+1LaBzuOob4Wm1hiI8IooQTLZoSNAnJ8KUkxWViVZHaoMepqwMJI0eAXNOFje7jgAJSWZc87N5Skm1L/7zHUoPVwd0DltlDUS3JwTREVEkYLJFYWcYlgxTdmbUJ1odCSoV9MmJSCguQEJJEYypw6DSsi7TUDVyTB7OvXAaAECSZPz7lS9hs/Z9ax5ZFNF2vIIL5oliFJMtCitjWgpM2RkxlWj9kMagR1xmOhJHjUB8QR70SQkRdRVmrDjv4mkoGpkNALC22vH2618HtPhddLthPXocosfbe2Miiir8RKfwEASYsjMRl5EW7kiGDEEQoIs3w5ybjaQxJYjPz4Eu0cLEa4hQqVS49mfzYI73T/0e2FOGtSt3BXQO0ePxJ1ysw0YUU/gpToNOUKkQn58Dw7CkcIcyZAkqFXQJFsTn5SiJlz4pkVvAhJklwYSrb/6R8vdlH65DVUV9QOeQvF5Yj5bB53QFOzwiGqKYbNGgEtRqxBfmQWfp316Vsag98TLnZiFx9AhYiofDmJbiX1wfw9Ov4TJqbD5mneuvJi/6JLz56nJ43IFNDUo+H6ylZfDaAtvomogiE39NpkGjNugRn58LtZ6V1ftLEARo4+KgjYsDAMiiBK/dDq/dAZ/DCdHpgixJYY4y+l102ZkoPVSNqop61J1oxn/eWYMrbzgnoHPIoghraRkMKcmIy0jjdHGQyZIEyeOF5PNB8noh+fxbLynrQwUBKo0aKp0Oap1uyO6/StGByRYNCn1Sgv+KQ36hBJWgVkFniVdGCmVZhuT2wOd0wedy+b9sPB6IHi9kUQxztNFDo1Xj2lvn4X/+/Da8Hh82rduHkWPyMGFK4Jveuxqa4G2zwZSbpSTRFBhZlOBzOuFznLw5nQFf+anSaKDW66AxxUFrNkETZ+TnFQUNky0KKUEQEJeVwfVZg0QQBKgNeqgNeuiR0Ok5SRQheX2QRbHDTYIsnbzJMiDJkGXJ/6fymATpZHvJJwLcfgYAkJaRhMuuPhvvLlkJAHjv398gtyAdScmBT5GLbg+sR8tgTEmGIS0FKha97ZXo9sBjbYPX2gavwzng96Xk80Hy+eC1O+Csa4AgCP7Ey2KGPjGB6yVpQPjuoZBR63T+vQFZuHNIUKnVQfkSl0QRss8H0e05eXMro2mxNoU57czROLS/Aju3HIbT4cbSRV/h9nsug6o/IyKyDGd9I1xNLTCkJMOQksyk6wdEtwfullZ4Wq0QXaG9olOWZXhtdnhtdjhq6qA1m6BPTIAuIZ4jXhQwJlsUfIIAY0oyjOmp/FCKQiq1GlCrodbrOz0uyzJEl/vkVI4DXrsDUpTXlBIEAVdcMxtlR2vQ0mxD6eFqrFq+HedcMKXf55RFEc7aergammAYluRPumJ4VEXyifC0WuFuboHP0feNwINKluFts8HbZoNQ5S9IbEhJhlrH9afUN7H7E0whoYkzwpSdCY3REO5QaJAJggCN0eD/f39y2lh0ueGx2eC12uCzOwIqAhop4kwGXPOz8/DSsx9CloEvP96IEaNzkJufPqDzyqIIZ10DnPWN0MWboUtKgC7eHBO/wLSPKrmbWuC1tg2p940sSXA1NMHV2AydJR6G1GSutaNeMdmioFBp1DCmpUI/LCmmq8FTZ2qDHkaDHsaUYZAlCV6b/eQ6GxskX/RsXVM4Ihtzz5+ClV9shST5y0Hc/eDV0BuCMPIhy/BY2+CxtkFQq6FL8F8QoTWZou4KOtHrhbupBe7mlqE/KirL8LRa4Wm1QmuKgzE9FVqzKdxR0RDFZIsGRKXRwJA6DIZhSTHxGzf1n6D6/spJWZYhOl3+xKvNFhUFPuctmI7D+ytQUVaHhrpWfPzu2oDLQfRGFkV/MtLUAggCtHFGaOPN0JpNUBsNEfmLjixJ8LS2wd3cErF1x7x2B7ylZdCaTf6ky8SRLuqMyRb1i0qrhTF1GPTJiUyyKGCCIEATZ/RfPJGRBsnrg9dmg6fNDp/NptREiiRqtRrX/MxfDsLj9mLTun0YNS4f4ycVhaZDWfZ/ydv9G2ILKhXURgO0J/9dNXFGqLTa0PQ9QLIkw2u3w9PiHxmKlgsr2hfUa80mxGWk8eIgUjDZoj7zT2FYoE+0QGOKi8jfomloUmk10CclQp+UCMC/abPX7oTP7oDP4YDo9oQ3wD5KTU/EpVfNUspBvLtkJXKHpyMxyRzyvmVJ8v97nUy+AP/0vtpohMagh9po9JcF0evC8rMrSxK8bTZ4WtvgabNFdd03r82O1iPHoEu0IC49jYWcickW9UAQoDHooYmLgzbeBK3ZDEHFBItCT63X+692TE4E4P+iFl1u/9WObv+fktcLyeMdcqMi084cjYN7y7Fr2xE4HW689a/l/S8HMUCST4R08io6hSBArdedTLz0UOt0UOt1UOl1QS01Ifl88Nkd8Dr8SbPodA2phe6DwT9y1wZDciKM6akxfVVprOP/+SjmL3BpgCydLF7Z1W+SggBBpYJKq4Vap4VKq4FKq1WmIThFSEOBoFIp70n9D56TRFHZlkX2+fwJhs8H2etTClW2F3MdlFgFAT++bg7Kj51QykF88+U2nHvh1EHpv1cnS3R0VadKpVFDpdWevGmg0mggaDUQVKpONwCdit7KkgSxw24FkscTcAX3qCXLcDU2w93cCmNaCgwpyfxcjUFMtqKYoFIhsaRQ+Xt7hXAIACD4/+NUIEU4lVoNlbH3ERlZkiF5vf4irB7/n6LbA5/DGfTRMX85iHkny0HIWP7JRowYlYO8goyg9hNs/kRVBKLggoWhRpYkOE7UwdXYjLiMVOgSE/j5G0OYXscQQRAgqNt/OxX4g04xRVD5p890lngYUpJhys6EpTAfSWNGwlI0HHEZadDGm4P2c1E4IksZzZIkGf9+dTlczshYe0ahI3m9sFVUw3rkWMRefUmBY7JFRDFNUAn+OklpKbAU5CFxdAlMWRlQG344YRm4H82fhvxC/2hWU4MVH7y1KubWLVHXfE4XrKVlaDteEfKthyj8mGwREXWg0qhhSElGYkkREooLoE9K6P2gbqjVKlz7s3kwnCxuun3TIWzZsD9YoVIU8Fjb0HK4FPaqmqgq9EudMdkiIuqGJs4Ic242EooL+l0zKTnFgh9fN0f5+4dvfYsT1Y1BipCiwslF9C0HjsBZ1zDkrrClgWOyRUTUC02cEZai4TDlZEKlCbw8wmnTSnD6rLEAAK/XhyUvfwGPe4hvR0ODrn0RfcvBo3A3t3DKOYow2SIi6gNBEGBITkLCyGLoLPEBH3/plbOQmT0MAFB3ohkfLl0d7BApSnARffRhskVEFACVWg1zfg4MKckBHafVaXD9bRdAp/dvobNlwwGu36IedVpE7+Yi+kjGZIuIKECCIMCUlQFTVgYQQKmItIwk/PjaOcrfP3hrNWqrm0IQIUUTj7UNLYdKYa86wUX0EYrJFhFRPxlSkhGfnxNQRfDJp4/E9JljAABejw+v/eMzOJ0ctaBeyDJcjU1oOXgUzoZGrueKMEy2iIgGQGeJh6UwP6CE67Krz1bWb9XXtmDpoq8gSfzypN7JoghHdS1aD5XC03HPSxrSmGwREQ2Qv0REVp/ba3Ua3PTLi2CM8xdO3bfrOFZ8tjlU4VEUEt1utB0rh/VYOUQ3dyYY6phsEREFgS7BgriMtD63H5aagOt+fr6yPdBXn27C3p3HQhUeRSlvmw2th47CUVsPmaOjQxaTLSKiIDGmpUCfnNjn9iPH5OHCy85Q/r500VeoO9EcgsgomsmyDGdtPVoPH4WXU4tDEpMtIqIgMmVnQms29bn9nHmTMWFyMQDA5fLgtZc+g9PBBfMUONHtgfVYOWzlVZB8YrjDoQ6YbBERBZEgCDDn50Ct1/W5/VU3noOMLH/drroTzXjtpc/g8/LLkvrH3dKK1kNH4Wm1hjsUOonJFhFRkKnUaphzs/tcg0tv0OHmX82HKd6//+LRQ1V4942VvLyf+k3y+dBWVslRriGCyRYRUQho4owwpg7rc/thqQm45VfzodH6917ctvEgvvxkY6jCoxihjHJxLVdYMdkiIgoRY1oqNEZDn9vnF2bg2p/NUwbEvv5sCzau3Rui6ChWSD4f2o6Vw1FTy9HSMGGyRUQUIoJKgCk3Synv0BfjJxVhwU9mKX//4M1V2L/7eAiio1jjrG+E9ehxiB5vuEOJOUy2iIhCSGMwwJieGtAxs86diFnnTAQASJKM1//xOQ7trwhFeBRjfA4nWg+XcvH8IGOyRUQUYobUYdCY4gI65uKfzFRKQvh8Iha/sAxHDlaGIjyKMbIooq2s0l8IldOKgyIqkq3y8nLcd999GD16NEwmE5KTkzF9+nQ8/fTTcDgcQe1rxYoVuPnmm1FcXAyTyYSEhASUlJTgJz/5CV588UXYbFyESESdCYIAc05mQNOJKpUK1956HsZOLAQAeL0+/Ov5T1F6uCpUYVKMcdbWw1ZeBVmUwh1K1BPkCE9rly1bhuuuuw6tra1dPj9y5Eh89tlnKCwsHFA/zc3NuOWWW/Cf//ynx3bbt2/Haaed1ufz5uTkoKqqCtnZ2ais5G+tRNHMcaIOzrqGgI7x+UQseflz7Nt1HACg02vx87suQUFxZggipFikNhgQPzwHal3fasORXyDf3xE9srVz505cddVVaG1thdlsxp/+9CesX78eX3/9NW677TYAwMGDBzF//vwBjTi1trbivPPOUxKt+fPnY8mSJdiwYQPWrl2Lf//737j77ruRk5MTlNdFRNHJmJYClU4b0DEajRo33HYhRo3LBwB43F68+vePcWhfeShCpBgkulywHjkGrz24M0H0vYge2Zo7dy5WrVoFjUaDb7/9FjNmzOj0/F//+lfcf//9AIBHH30UDz/8cL/6ufHGG7FkyRJoNBq88cYbuPrqq7tsJ8syRFGERqPp87k5skUUWzzWNrQdD3yxu9frw+IXl+HQPv+xKpUKP7l+LqadOTrYIVKMElQqmPOyobPEhzuUiBATI1ubN2/GqlWrAAC33nrrKYkWACxcuBCjR/s/iP7nf/4HXm/gl7uuXbsWS5YsAQD893//d7eJFuBflxFIokVEsUdnie/Xl5lWq8HNv5yvrOGSJAnvvP41ln+6iYucKShkSUJbWSVcTdwMPdgiNtn66KOPlPu33HJLl21UKhVuvPFGAP41V+3JWSD+7//+DwBgNpuxcOHCgI8nIvqhuKx0CKrAP361Og1uvP0CzJw7QXnsq0834Z3Xv4YocksWCgJZhr2yBo7a+nBHElUiNtlas2YNAMBkMmHKlCndtps9e7Zyf+3atQH14fF4lHVaF154IcxmMwDA5/OhrKwM5eXl8Hg8gYZORDFOrdPBEMBWPh2pVCpcetUsXPyTmcpjWzYcwD/+9hFamtqCFSLFOGdtPexVNRw1DZKITbb2798PACguLu5x6m7UqFGnHNNXO3fuhMvlAgDMmDEDJ06cwC233ILExEQMHz4c+fn5SEhIwEUXXYT169f341UQUawypg6DWt+/q78EQcDsH03C9bddAI3Gv5fisSM1ePb/LcWeHaXBDJNimKuxGfbKaiZcQRCRyZbL5UJDg//y6d6uAExKSoLJZAIAVFQEtih13759nfocP348Fi9eDLvd3unxzz//HLNmzcL//M//BHR+IopdgkqFuMz0AZ1j4pRi3H7vZUhM9q8BczrceO2lz/DR0tXwen3BCJNinLu5FfYKJlwDFZHJVlvb90Pl7VN7PWlPtgIt/9DU1KTcf/TRR9HQ0ICLL74YW7ZsgcvlQm1tLV544QVYLBZIkoR7770Xn3/+eY/ndLvdsFqtyo1vYKLYpbPEQxvf+2dYT4YXZuKeP1yNcZO+ryW4btVu/P0v7+J4ac1AQySCu6XVX/yU31f9FpHJVvvUHgDo+lCETa/XAwCcTmdA/XQcwXK73ViwYAH+85//YMqUKdDr9UhLS8OvfvUrLFu2DCqVCrIs4/777+/xDfnEE08gISFBuVVXVwcUExFFF1NWOhBAZfmuxJkMuPEXF+KKa+co04o1VY14/qn38dair2BttfdyBqKeeVqtsJVVQpaYcPVHRCZbBoNBud+XBeputxsAYDQa+90P4K/bperiCqKzzjoLV1xxBQBgz5492LNnT7fnfOCBB9Da2qrcsrKyAoqJiKKLWq+HISV5wOcRBAEzzh6H3zxwJTKzv198v23jQTz18BtYtXwbfD5esUj957G2wVbOhKs/IjLZio//vkZNX6YG20eo+jLl2F0/BQUFGDlyZLdtzz//fOX+5s2bu22n1+thsViUWyB7pRFRdDKmpUAVpBp9mdkp+O2DV+Oyn54NY5x/VN/t9mLZB+vxxB9ex8ovtsJhd/VyFqKueaxtsFVwSjFQEZlsGQwGpKSkAECvVVubm5uVZCs3Nzegfjq2720hfse2dXV1AfVDRLFNpVYjLiMtaOdTq1WYOWcCfvfY9Tjj7HHKLKW11Y7PP9qA//fAYny0dDUa6lqC1ifFDk+rFTYumg9IxJY7Hz16NNasWYMjR47A5/N1W/7hwIEDnY4JxNixY5X7vRUM7Pg8q8gTUaB0SQnQNDXD5whsbWlPTGYjfnztHJwxayxWLNuMvTtLIcuA1+PDulW7sW7VbuTkpWLcpCKMO60Q6ZkDn84MJlEU4XJ64PH44PX44HF7lassBZUAlaCCSiVAo1EjzmxAnMmgrFmj0PK0tMIuCDDlZHKGpg8iNis466yzsGbNGtjtdmzduhWnn356l+1Wr16t3J85c2aXbbqTn5+PvLw8lJeX4+jRoz227fh8dnZ2QP0QEQmCAFNWBlqPHAv6ubNzU3HTLy9CQ10L1q7ciU3r98Pr8SctleX1qCyvxxf/+Q6p6YkoHpWL3PxU5OSnIS0jGWp1cCdARFFEW6sD1lYHrK12WFvtJ/9uR5vVDrvNdfLmhMsZeNFovUGLOJMBiUnxSElLQEpaIlLSEpCWnoTUjKSgv55Y5m5uAQQB5pzMcIcy5EXsRtSbNm1SEqzbb78dL7300iltJEnCuHHjsH//fiQmJqKurg5arTagfu6991787W9/AwCsW7cOZ555Zpft2jfFBvz1vHqbdmzHjaiJqCNbZTXcTS0h7cNhd2Hj2n3YufUwqsq735ZFq9UgPSsZiUlmWBJMSEgywZJggk6vhUajhkqtglqtgiAI/pEnjw9ejxcetw9Ohxs2mxP2NidsNidsbU60tdphtzkRrm8dnV6LnLxU5BdmIHd4OgqKMmG2xIUnmChiSB0G0wBrxkWiQL6/IzbZAoCzzz4ba9asgUajwbfffnvKZtR//etfcf/99wMA/vjHP+KRRx7p9PzixYuVfRW7eh4AysvLMXLkSLhcLkyZMgWrV69W6na1e+ONN3DDDTcAAObPn49PP/20z6+ByRYRdST5RLQcPAJ5kPY6bGqwYu/OUuzeXorjR6vDlgh1FGfSw2Q2Is5kgDFOD51OC61OA51eC61WDUEQIIkSJFmGJMnweX2w21xw2P03W5uzTxcBCAKQk5eGUePyMWpcPnLy07q84px6Z0xPRVx6arjDGFSBfH9H7DQiADz33HOYOXMmnE4n5s2bhwcffBBz586F0+nE0qVL8fLLLwMASkpK+r2JdF5eHh577DHcf//92Lp1K6ZPn477778f48aNQ2trKz744ANlVM1isSijYERE/aHSqBGXmQZ75eAUJE1OsWDWuadh1rmnwel0o6q8HpVldf7pxbI6NNa3BqUftVqFeEscLIkmxFtMsCSaYEmIgyXBP1oWf/J+nMkQlKk+l9ODhroWNNS3oqGuBTWVjSg/Xttp/0hZBirK6lBRVoevlm2GyWzAuElFmDy9BMOLsqBScS1SXzlr6yGoVTCm9G/Pz2gX0cnWpEmT8Pbbb+P666+H1WrFgw8+eEqbkpISLFu2rFMZh0D913/9F5qamvDkk09i3759uPnmm09pk5aWho8++ggjRozodz9ERACgT0qEu6klqIvl+8Jo1KN4ZA6KR36/DMLnE2Gz+tdUtbb411h5PT6IPgmiKEIUJciy7B950mn9o086DYxGPUzxBphMRpjjjTAYdYO6kNpg1CEnPw05+Z2v8rS22lF+rBbHj9bg0P4K1FQ2KM/ZbS5sXLMXG9fsRWKSGadNK8Hk00uQmZ0yaHFHMkd1LQSVCobkpHCHMuREdLIFAAsWLMCuXbvw3HPPYdmyZaisrIROp0NxcTGuvPJK/PrXv0Zc3MDn5J944glccsklePHFF7FmzRrU1NTAYDCgpKQEl1xyCe666y4kJCQE4RURUawTBAGm7Ez/Yvkwz+tpNGokJscr+y9GOkuCCeNOK8S40/zbG7U223BwXzn27zmOg3vLlQsHWpptWLV8G1Yt34b8wgzMmD0eEyYXQauN+K/NkLJX1kBQqaBP5PdhRxG9ZisacM0WEXXHXnUCrsam3htSUHjcXuzdWYrtmw/h4N4KSJLU6XmT2YBpZ47BmbPHIWmYJUxRRgBBQHx+DnSW6EjQuxMzC+SjAZMtIuqOJIpoPXgUks8X7lBijt3mxI7Nh/Hdmj04Ud054VWpBEycOgJz5k1GVg6nGLsiCALiC/KgNZt6bxyhmGxFECZbRNQT98kNgCk8ZFnG8aM1WL96N3ZvOwpR7DzaVTImD3PnTUbRyGwW9/wBQaXyJ1ym6CyvETNXIxIRRTt9ggWeBAs8rdZwhxKTBEFAQXEWCoqzYLvSgfXf7sG6b3YppSUO7SvHoX3lyC/MwLyLp2PE6FwmXSfJkoS24xWwFOZBYzSGO5yw4shWmHFki4h6I/l8aDl4dNBqb1HPPB4vNq/fj29X7EBTQ+ckmEnXqVQaNeILh0Nj0Ic7lKDiNGIEYbJFRH3hbmmFrbwq3GFQB6IoYde2I/j6sy2orem8rmt4USYuvGwGCkdkhSm6oUWl0SC+MD+qEi4mWxGEyRYR9VVbWSWnE4cgSZKwa9tRrFi2+ZSka9TYfFxw2RnIzo2t6updUWk0sBTmQx0lCRfXbBERRSFTdga8NjunE4cYlUqF06aOwITJxdi97QiWf7oJdSeaAQAH9pbhwN4ynDZ1BM6/9AykpMZu/SnJ54O1tCyqEq6+YrJFRBQhVBoNTNkZnE4cotpLQoybVIRtGw9g+aeble2Bdmw5jN3bj2LG7PH40UVTYTLH5oJxyeeD9djJhEsfOwkXd9wkIoog+sQE6JNid3QkEqjVKkw7cwx+9+j1uOTKWTDF+xMrUZSwduVO/OW/l2DlF1uVavWxRvL6YD1aBp+z983CowWTLSKiCGPKzoy5aZhIpNGqMevcifj94zfgRxdNg1bnn0xyuTz4/KMNePKPb2DrxoOQpNhbOt0+pei12cMdyqBgskVEFGEElQrx+TkQVPwIjwQGgw7nX3I6fvfY9Zg+c4xSEqK12Yali77C3598F6WHY29qWBZFtB0rh8faFu5QQo4/qUREEUit18OUy7ICkSQh0YwrbzgH9z70U4wal688XllWhxef+RCvvfQZGupawhdgGMiyjLaySriaWsIdSkgx2SIiilD6BAsMw5LDHQYFKCNrGG799QLc9ptLkJE9THl8z45SPP3om/jkvbVwOtxhjHCQyTLsldVwnKhDtFajYrJFRBTB4jLToYmLzSvbIl3JmDzc84erceUN5yDe4t8/UBQlfLtiB/7y0BKsW7XrlL0Yo5mzrgFtx8qjcuN1JltERBFMUAmIH54LtV4X7lCoH1QqFabPHIPfPXY9zr1oKjRaNQDAYXfho6Xf4tnH38KBvWVhjnLweG12tB45Bp/DGe5QgorJFhFRhFNpNIgvyIdKy9KJkUpv0OGCS87A/Y9ej0nTSpTH604049W/f4JX//7JKdXpo5Xk8cJ69Dhcjc1RM63IZIuIKAqodVrEF+RDUKvDHQoNQFJyPK69dR5+ff9PkFeQrjx+YG8Znn38LXy0dDXstuga9emKLMuwV9XAWhod9bi4N2KYcW9EIgomn8MJa2kZZCl21vpEK1mWsWPLYXz2wXq0NNuUx41xepw3fxpmzB4PjSYGkmtBgGFYEozpqVANoV8muBF1BGGyRUTB5m2zoe14RdRMwcQ6j8eLb1fsOKXqfGp6Ii7+8UyMHj9cqd0VzVQaDYxpKdAlJQyJpIvJVgRhskVEoeC1O2Arq4Dk46bV0aK1xYYv/vMdtmw40OnxEaNyseDKmcjMTglTZINLEAToEizQJydCazaFLQ4mWxGEyRYRhYro9qDteAVEdwzVbIoBlWV1+PjdtTh2pFp5TBAETD9rDM5fcLpSRiIWqPU6aOKMUBsMUBv00Bj0UGm1/lFdWfZPp8sIycUjTLYiCJMtIgolSRRhK6uMmT3oYoUsy9i97Sg+/WAdmhu/3+5Gb9Di3Aun4qxzJkIbq1enCgLQIbVR63RIHFUc9G4C+f7m1YhERFFMpVYjviAPhmFJ4Q6FgkgQBEyYUoz/euQ6XHT5DOgNWgCA2+XFZx9uwF8f+Td2bjkcm+v2huBrZrJFRBTlBEGAKTsTlsJ8Fj+NMlqtBnPPn4LfPXYDTp81Vlko39zYhjde+RLP//V9lB+rDXOUxGSLiChGaM0mJIwohDE91T/VQlEj3hKHn1w3F/f899UYMTpXebys9AT+/uS7ePPV5WhuauvhDBRKTLaIiGKIoFIhLj0ViSMKobPEM+mKMpnZKbjtN5fgZ3dejLSM76eOt28+hKcefgOffbgeLqcnjBHGphhdPUdEFNvUBj3ih+dC9HjgamyGu6kFssgyEdFAEASMHj8cJWNy8d2avVj+ySY47C74fCK++XIbNq3fj/MXnI7pM8dAreaYy2Dg1YhhxqsRiWgokCUJ7hYrvNY2eO0OJl5RxOlw4+vPt2DtNzsh+r7fWSAtIwkX/3gmRo3Lj+qiqEPhakQmW2HGZIuIhhpZliE6XfDa7PA5nBA9HkgeL7cAinBNDVZ89uF67Nx6pNPjRSOzcfGPZyInLy1MkYUWky1iskVEEUPy+iB6PJB9PsiSBFmUIIsiJEnyX24vy98Xk5Rx6mPtx0gnbxw9C4vjpTX49L11KCs90enxyaePxAWXnI6kYZYwRRYaQyHZ4potIiLqE5VWE9RK3LIs+5M1nw+yz/+n5PEqI2mSxwvR6x2SdZMi2fDCTNz5Xz/G7u1H8dmHG9BY3woA2LbxIHZuPYyZcybg3AunIs5kCHOk0YPJFhERhYUgCBA0Gqg03X8VyZIM0e2G6HJDdLngc7khOp3c83GABEHAhMnFGDOhAN99uwdfLdsEh90N0Sfh2xU7sHn9fpxzwRTMnDshdivRBxH/BYmIaMgSVAI0RgM0RgOABOVx0e2Bz+GEz+mEz+6Az+kKX5ARTKNR46xzJmLKGaPwzZdbsWblTvi8IpwON5Z9sB7rvtmF8y6ejilnjOKViwPANVthxjVbREQDJ4kifDY7vDYHvHY7RBc33+6PlqY2LP90E7Zs2N9p9jYtIwkXXHoGxp1WGHFXLg6FNVtMtsKMyRYRUfCJHi+8bW3wWG3w2eyxuUfgANRUNeDzjzZg/+6yTo/nFaTjgkvPwIhRud0cOfQw2SImW0REISZLErxtNrhb2+C1trGERQBKD1fjsw/Xn3LlYlFJNs6/5AwUFGeGKbK+Y7JFTLaIiAYRE6/AybKM/buP4/OPNuBEdVOn50aOzcP5C05H7vD0MEXXu6GQbHGBPBERxQxBpYIuwQJdggWyKMHTaoW7pRVemz3coQ1ZgiBgzIQCjBqXj51bDmP5J5vQcLJcxMG95Ti4txyjxuXjRxdNQ35hRpijHZqYbBERUUwS1CrokxOhT06E6PHC09IKV1MzJI833KENSSqVCpOmj8SEKSOwbeMBfPXpZjQ3tQEADuwpw4E9ZSgZk4sfXTQ9IqYXBxOTLSIiinlqnRbGtBQYUofBa7PD3dQCj7WNBVW7oFarMO3MMZg0fSQ2r9+PlV9sRcvJpOvQvgoc2leBwhFZmDNvctTvu9hXTLaIiIhOEgQBungzdPFmSD4f3E0tcDU2Q/JytOuHNBo1Zpw9DtPOHI1tGw/i68+3oKnBCsC/sL70cDUysodhzrzJOG1qMdRqdZgjDh8ukA8zLpAnIhraZFmG19oGV0MTvHZHuMMZskRRxLaNh/DNl1tRX9vS6bnEJDPOnDMe02eOgclsHNS4hsICeSZbYcZki4gocvhcLrjqm+BpaWXtrm5Ikox9u47hmy+3ovxYbafnNFo1Jk8fibPOmYDM7JRBiWcoJFucRiQiIuojjcEAc24WpIw0uBqb4Gpshixyn8aOVCoB404rxNiJBTh2pBqrlm9TiqP6vCI2rduHTev2oaA4E9NnjsGEycXQ6bVhjjq0mGwREREFSKXVIC4jDca0FLibW+Csb+RVjD8gCAIKR2SjcEQ26mtbsH71bmxZvx8ulwcAcOxIDY4dqcF/3l6D06aNwPSZY5CTnxaVC+qjYlfJ8vJy3HfffRg9ejRMJhOSk5Mxffp0PP3003A4QjO/XlNTg8TERP+u9YKAOXPmhKQfIiIaugSVCoZhyUgcWQxzbjbUBn24QxqSUtMTcelVs/CHv9yMy356NtIzk5XnXC4PvluzF//7l3fx1B/fwJcfb0TtD4qnRrqIX7O1bNkyXHfddWhtbe3y+ZEjR+Kzzz5DYWFhUPv9yU9+gvfff1/5++zZs7Fq1aqAz8M1W0RE0cVjbYOzrgE+hzPcoQxZsiyj/FgtNq3bhx1bDsPjPnVUMDN7GMZPLsLo8cORnZva7xEvrtkaoJ07d+Kqq66Cw+GA2WzGAw88gLlz58LpdGLp0qX45z//iYMHD2L+/PnYvHkzzGZzUPr95JNP8P777yMtLQ11dXVBOScREUUHnSUeOks8PG02OGvrmXR1QRAE5BdmIL8wAwuuPAs7txzG9s2HUHqoSiltVlPViJqqRiz/ZBMsCSaMnjAco8cNR+GILBjjImsEMaKTrbvvvhsOhwMajQbLly/HjBkzlOfOOeccjBgxAvfffz8OHDiAZ599Fg8//PCA+7TZbLjzzjsBAE8//TRuvPHGAZ+TiIiiT3u9Lm+bDY66BvhYNqJLBoMOp581FqefNRatLTbs2noUO7Yc6nQlo7XVjo1r9mLjmr0QBCArJxWFJVkoHJGN4UWZMMcPbjmJQEXsNOLmzZsxffp0AMDtt9+Ol1566ZQ2kiRh3Lhx2L9/P5KSklBbWwutdmBXPPzmN7/B3//+d8ydOxcrV65UhjU5jUhERD3xtNngPFEHn9MV7lAiQktTG/bvKcO+Xcdw5EAlfL7ur/pMTDIjOy8NOfmpyM5NRVpGEpKGxUOlUnEacSA++ugj5f4tt9zSZRuVSoUbb7wRDzzwAJqbm7Fq1Sqcd955/e5z06ZNeP7556HT6fDiiy/2+zxERBR72ke6PK1WOGrrIbrc4Q5pSEtMjseMs8dhxtnj4HF7ceRgJQ4fqMTRQ1WoqWzo1Lal2YaWZhv27ixVHtNo1BiWloC0jGTkji3EGfOmI6coa7Bfhj+WsPQaBGvWrAEAmEwmTJkypdt2s2fPVu6vXbu238mWz+fDL37xC0iShN/97ncYOXJkv85DRESxTZdggdYSD0+LFc7aeogeT7hDGvJ0ei3GTCjAmAkFAACH3XVyS6AqVJXXo6q8Hu4fLLL3+UTUVjehtroJu7cdQdG4QiZbgdq/fz8AoLi4GBpN9y9j1KhRpxzTH08//TR27tyJoqIiPPjgg/0+DxERkSAI0CclQJdggbu5Gc7aBkg+X7jDihhxJgPGnVaIcaf5Kw1IkoyGuhZUVdSjprIB9bUtqK9rQUNdC0SfBADIyEsPW7wRmWy5XC40NPiHEHNycnpsm5SUBJPJBLvdjoqKin71V1paisceewwA8MILL8BgMPTrPADgdrvhdn8/dByhS+aIiCgIBJUAw7Bk6JMS4WpogrOuAbIkhTusiKNSCUjLSEJaRhImTStRHpckCVarC3atEamDtD1Ql/GFrecBaGtrU+73pZyDyWQC4L+SsD9uv/12OJ1OXH311Zg3b16/ztHuiSeeQEJCgnKrrq4e0PmIiCjyCSoVjGkpSBxVDENKMhCFVdTDQaVSYVhaIibMGAuNRh2+OMLW8wC4XN9fyaHT6Xptr9f763E4nYHXOnn99dexYsUKWCwW/O1vfwv4+B964IEH0NraqtyyssIzf0xEREOPSqOBKSsDiSVF0CUmhDscCpKInEbsOI3n6cPCwvZpO6MxsDocDQ0NWLhwIQDgT3/6EzIzMwM6vit6vV5J/gBE5R5QREQ0MGq9DvF52fClJsNRUwevzR7ukGgAInJkKz4+Xrnfl6lBu93/Jg20gvy9996LhoYGTJ06FXfccUdgQRIREQ2QxmiEpTAf8QV5UA9gvTCFV8SObKWkpKChoaHXQmLNzc1KspWbm9vnPqqrq7FkyRIA/mr077zzTo/t6+rqsHTpUgBAQUEBTj/99D73RURE1BNdvBlaswmeFisctXWQPKfuJUhDV0QmWwAwevRorFmzBkeOHIHP5+u2/MOBAwc6HdNXHacnn3rqqV7b79+/H9dccw0A4KabbmKyRUREQdWpXERTM5x1LBcRKSJyGhEAzjrrLAD+KcKtW7d222716tXK/ZkzZ4Y8LiIiolASVAIMKclIHFmMuPRUCOrwXWVHfROxydZll12m3F+0aFGXbSRJwuuvvw4ASExMxNy5c/t8/uHDh0OW5V5v7WbPnq08tnjx4n69JiIior4S1CoY01OROKoYxrQUCKqI/UqPehH7f2b69OmYNWsWAODVV1/Fhg0bTmnzzDPPKFXjf/vb356yCfXixYshCAIEQcAjjzwS8piJiIiCTaVWIy4jDYmjRjDpGqIids0WADz33HOYOXMmnE4n5s2bhwcffBBz586F0+nE0qVL8fLLLwMASkpKlBIORERE0Uil8SddhpRhcDU2wdXQBFkUwx0WIcKTrUmTJuHtt9/G9ddfD6vV2uWehSUlJVi2bFmnchFERETRSqVRIy49FcbUYXA3tcBZ3wjJy6sXwynixxoXLFiAXbt24Z577kFJSQni4uKQmJiIqVOn4sknn8T27dtRXFwc7jCJiIgGlaBS+RfSjyqGOTcbmrjACntT8Agyd0IOq5ycHFRVVSE7O7vXmmFEREQD4XM64WpohqelFbHy9a/W6ZA4KviDLoF8f0f0NCIRERH1ncZohDnXCCkzHZ7WVribW+FzBL5vMAWGyRYREVGMUWnUMAxLhmFYMkS3G+7mVnharBD7sN8wBY7JFhERUQxT6/WIy0hDXEYafC4XvFYbPNY2jngFEZMtIiIiAgBoDAZoDAYY01IgeX3w2uzw2u3w2R0Q3Rz16i8mW0RERHQKlVYDfVIC9EkJAADJ64PP4YDP6YLocsPncnFD7D5iskVERES9Umk10CVYoEuwKI9JogjJ7YHo8ULynPzT64Xs80HyiZBFEbIkhTHqoYHJFhEREfWLSq2GKs7YYw0vWZQgSSIgSpClH95kQPb/qTwmSsDJ+5LPB9kn+v+M4KSNyRYRERGFjKBWQa1WAdre2/ZElmRIXi9Ej8c/iuY+eXO5IHl9wQk2RJhsERER0ZAnqASo9Tqo9bpTnpO8XvgcTvicLvjsDngdTmAIFW1lskVEREQRTaXVQpegVdaTyZIEr90Bb5ttSCziZ7JFREREUUVQqaCLN0MXbw53KACiYCNqIiIioqGMyRYRERFRCDHZIiIiIgohJltEREREIcRki4iIiCiEmGwRERERhRCTLSIiIqIQYrJFREREFEJMtoiIiIhCiMkWERERUQgx2SIiIiIKISZbRERERCHEZIuIiIgohJhsEREREYUQky0iIiKiEBJkWZbDHUQs0+l08Hq9UKlUyMzMDHc4RERE1Ac1NTWQJAlarRYej6fHtky2wkytVkOSpHCHQURERP2gUqkgimKPbTSDFAt1w2AwwOVyQa1WIy0tLdzhhJ0sy6iurkZWVhYEQQh3OEQDwvczRRu+p79XV1cHURRhMBh6bcuRLRpSrFYrEhIS0NraCovFEu5wiAaE72eKNnxP9w8XyBMRERGFEJMtIiIiohBiskVDil6vxx//+Efo9fpwh0I0YHw/U7The7p/uGaLiIiIKIQ4skVEREQUQky2iIiIiEKIyRYRERFRCDHZIiIiIgohJlvUq23btuHPf/4zLrzwQuTm5kKv18NsNqOkpAQ333wz1qxZ0+9zOxwOFBYWQhAECIKA4cOHDyjWm2++WTlXX2+LFy8eUJ8UmVwuF1544QWce+65SE1NhU6nQ3Z2NubPn4+33347oHNt2rQJd9xxB0aPHg2LxQKz2YyioiLMnz8fzz77LOrr6wcUqyzLePfdd3HZZZchNzcXBoMBcXFxKCwsxE9/+lN8+eWXAzo/DU1WqxVLly7FwoULMXv2bBQXFyMhIQE6nQ5paWmYM2cOnnrqKTQ2NvZ6rrKyMvz+97/HlClTkJiYCK1Wi+TkZJx55pl4/PHH+/wedTgc+Otf/4rp06cjOTkZZrMZo0ePxn333Yfy8vKBvuRONmzYgBtuuAHDhw+HwWBAZmYmLrjgAixdujSo/QwKmagHZ599tgyg19sNN9wgu93ugM+/cOHCTufJz88fULw33XRTn+LteFu/fv2A+qTIc+DAAXnkyJE9vi8uuOAC2Waz9Xgel8sl//znP5cFQejxXB9++GG/Y21paZHnzJnT6/v46quv7tfPIA1dX331VZ8+w1JSUuQvvvii2/P8+9//luPi4no8x7Bhw+Svv/66x3iOHDnS489NQkKCvGzZsqC89kcffVRWqVTd9rVgwQLZ6XQGpa/BwNIP1KPi4mIcPXoUWVlZuPLKKzFr1izk5eVBFEVs2LABzzzzDKqqqgAA11xzDd58880+n3v79u2YNm0atFottFot2trakJ+fj+PHj/c73qqqKjQ3N/fYprm5GXPmzIEkSRgxYgQOHTrU7/4o8tTX12PKlCmoqKgAAFx55ZW46aabkJWVherqarz22mt49913AQALFizAxx9/3OV5PB4PLrvsMnz++ecAgFmzZuHGG2/E6NGjodFoUFZWhp07d+Ldd9/FU089hcsuu6xf8V500UVKHwUFBfiv//ovjB8/Hl6vF1u3bsWTTz6JhoYGAMAdd9yB559/vl/90NCzYsUK/OxnP8PcuXMxZcoU5ObmIjMzE5IkobKyEu+99x4++OADiKIInU6HzZs3Y8KECZ3OsWHDBsyaNQuiKEKlUuGmm27CpZdeiqysLJSXl+O1117DJ598AgAwmUzYs2dPlzMMNpsN06ZNw4EDBwAAt912G37605/CaDTim2++wRNPPAGbzYa4uDhs2LDhlDgC8corr+C2224DABQVFeHBBx/E+PHjUV1djeeeew7ffPMNAOC6667DG2+80e9+BlW4sz0a2ubPny+//fbbss/n6/L5+vp6uaSkRPlt49tvv+3TeX0+nzxlyhQZgPzYY4/J+fn5QRnZ6osXXnhBiffxxx8PeX80tNx5553K//8//vGPXbZ5+OGHlTbvv/9+l20eeughpc3TTz/dY58ej6dfsW7ZskXpo7CwULZarae0KSsrkxMTE2UAskqlkuvq6vrVFw093X3udvThhx8q75ErrrjilOcvvvhi5fnnn3++y3Pce++9Spu77rqryzZ//OMflTZPPfXUKc+vX79e1mg0MgB57ty5vcbdnebmZuX9nJeXJ9fX13d63ufzyQsWLFBiWb16db/7GkxMtmjAPvnkE+WN/5vf/KZPxzzzzDMyAHnkyJGy2+0e1GTrjDPOkAHIgiDIx48fD3l/NHT4fD7lgzw/P7/bLzOfzyfn5eXJAOSpU6ee8vzRo0dlrVYrA5BvvvnmkMX73HPPKT9b//u//9ttu3vuuUdp98knn4QsHhqaRo0apUwn/lBSUpIyTdidlpYW5f0zZcqUU573eDzKz83o0aNlURS7PM/tt9+unGfLli39ei1PPfWUco633nqryzYVFRWyWq2WAcgXX3xxv/oZbFwgTwM2Z84c5f7Ro0d7bV9WVoaHH34YAPDiiy9Cp9OFKrRTHD58GN999x0AYPbs2cjPzx+0vin8Dh8+jJaWFgDAeeedB7Va3WU7tVqN8847DwCwZcuWU6a2X375ZXi9XgiCoLyXQ8Hj8Sj3CwsLu21XVFSk3He73SGLh4Ymk8kEwH/Rxw+1v4cKCgq6PT4hIQEpKSkAun7/rFq1Svm5uemmm6BSdZ063Hzzzcr9Dz74oE+x/9BHH30EALBYLLjiiiu6bJOTk4Mf/ehHAICvvvoKNputX30NJiZbNGAdvxC6+yHs6I477oDdbscNN9yAuXPnhjK0U7z++uvK/RtvvHFQ+6bwa2pqUu6np6f32Lbj899++22n59rXdE2dOlX5EmtfR3Ps2DE4nc6gxFtSUqLcLy0t7bZdx19yOh5D0W///v3YsWMHAGDUqFGnPN/+fjh27Fi357Barcq6v67ePx2vOJ89e3a355k6daqS+K1du7b34H/A4/Fg06ZNAIAZM2b0+It4exxutxubN28OuK/BxmSLBmz16tXK/a5+2DtaunQpPvvsMyQlJeHpp58OdWidyLKsLKaMi4vDT37yk0Htn8Kv/YsAAFpbW3ts2/H5ffv2Kffr6+uVxGfGjBmwWq24++67kZKSgtzcXBQWFsJisWD27NlYtmzZgOI9//zzlcXKzz33HOx2+yltKisrlfIlM2bMwPjx4wfUJw19DocDhw8fxrPPPou5c+dCFEUAwG9/+9tT2t5+++0AgMbGRrz00ktdnu/xxx8/pX1H+/fvV+739Bmv0WiUUdaOx/TV4cOH4fP5eu3nh8/3p69BF+55TIpsoijK06dPV+bYN2/e3G3bpqYmOT09XQYg/+Mf/+j03GCs2Vq1apUS53XXXReyfmjostlsylqrCRMm9Nh2/PjxyvvlmmuuUR7v+D763e9+JxcVFfV4Sf0999wzoJjXrVsnJycnywDkoqIi+aWXXpLXrl0rf/PNN/LTTz8tp6WlyQDk4cOHywcOHBhQXzR0LVq0qMf32X333SdLknTKcT6fT77uuuuUCyh+/vOfyx9//LG8efNm+f3335cvv/zyTu/nrpx++ukyANlkMvUa5/z585XzuVyugF7j559/rhz717/+tce2mzdvVtr+/ve/D6ifcGCyRQPy9NNPK2/4yy+/vMe2t956qwxAnjFjxikfCoORbP3sZz9TYl2+fHnI+qGh7YILLlDeB2+++WaXbd58881OX2QdF+F+8MEHyuN6vV4GIJ955pny6tWrZYfDITc1Ncn//ve/5czMTKXdiy++OKCYy8rK5IULFyqJYseb2WyWH3300VOu2qLo0l2yddppp8nfffddr8e//fbb8qRJk7o8x9y5c+Uvv/yy22PHjBkjA5DT09N77eeqq65SztvQ0BDQa3znnXf6/DOzb98+pe2vf/3rgPoJByZb1G+rVq1SLvVNS0uTT5w40W3b1atXy4IgyBqNRt65c+cpz4c62XI6nbLFYpEByNnZ2d1eTUPRb+PGjcr7VqvVyo8//rhcVlYmezweuaysTH788cdlrVYr63Q65cP83HPPVY5fsmRJpy+qKVOmdFlc8dChQ7LJZJIByKmpqbLD4ehXvJIkyc8884zyM9LVbfTo0fLixYv7/W9CQ19zc7O8e/dueffu3fKmTZvkt956SxmVKioq6vEq1P3798uXXnqp8r7/4c1gMMjXXXedXF1d3eXxhYWFMgA5Nze31zhvuOEG5bwVFRUBvcbXX39dOfbVV1/tse3Ro0eVtrfeemtA/YQDky3qlz179iiXFOv1ennVqlXdtnW5XErV4YULF3bZJtTJ1ltvvdXrUDnFjtdee61TMvXDm1qtlv/+978rf7/sssuUY999991ObXuq3H3fffcp7T7++OOA4xRFUb7yyis7fals27ZNdjqdss1mk9euXStfcsklyvP33ntvv/49KHK9/vrrsiAIskqlkhctWnTK899++22ncidLliyRT5w4IXs8HrmiokJ+/vnnlc/ynJwced++faecgyNbA8dkiwJWWloqZ2VlKV9KH3zwQY/t24s/5ubmym1tbV22CXWydeGFFyo/mHv37g1JHxRZduzYIV955ZVyfHy88t5QqVTyueeeK3/33Xfy7t27lcdvueUW5bgvvvhCeVyn0/W4RU7H7VYeeuihgGPsmPA98sgj3bbrOJrw6aefBtwPRbb2BMdkMslNTU3K4y6XS87OzpYByBkZGXJNTU2Xx+/Zs0c2GAwy0HVdOa7ZGjgNiAJQXV2NH/3oR6iuroYgCPjXv/6Fyy+/vMdjnnzySQDAj370I3z66addtmm/ysputyubjKalpeGcc84ZcMy1tbVYvnw5AGDKlCkYM2bMgM9JkW/ixIl45513IIoiampq4HK5kJWVhbi4OADotPVUx/dMbm6ucj89Pb3Hy9M7tq2rqws4xldffRUAEB8fj9///vfdtvvzn/+MJUuWAPBvdTJ//vyA+6LIdemll+Kdd96B3W7H559/jmuvvRYA8MUXXyjbqd11113IyMjo8vixY8fi+uuvxyuvvIItW7Zg586dmDhxovJ8Tk4ONm7cCLvdjpaWFiQmJnYbS/s2WKmpqdDr9QG9jpycHOV+ZWVlj23b+wE6/5wNVUy2qM8aGhpw3nnnKZe9//3vf+9Trar2OlyLFi3CokWLeu3jmmuuAeCvoxKMZOvf//63cmn0TTfdNODzUXRRq9WdPuTbdawTdPrppyv3R4wYAa1WC6/Xq7yvutPxeY0m8I/b9kvax4wZ0+MXV05ODtLT01FbW6vsXUexIzU1VblfVlam3O9YEmHy5Mk9nmPKlCl45ZVXAAAHDhzolGyNGTMG77//vvLcGWec0eU5fD6fUvNt9OjRAb4Kf40vtVoNURR7fR93fL4/fQ021tmiPmltbcX555+v1Bv6y1/+gjvvvDPMUfVNeyFTrVarJHJEPfF4PHjvvfcAANnZ2TjzzDOV57RaLWbMmAHAP2raVe2rdh2LjWZnZwccR3uC1l57qCder7fTMRQ72kevAMBsNiv3O74XensPtb9/fngcAJx11lnK/Y51FX9oy5Ytys/DzJkze4n6VDqdDtOnTwfg30C7Y8HsH2qPQ6/XY+rUqQH3NdiYbFGvHA4H5s+fj23btgEA/vCHP+B3v/tdn4+X/WsDe7y1b5uTn5+vPLZq1aoBx757927s3LkTAHDRRRcpW1IQ9eS5555DfX09AOCXv/zlKdv6/PjHPwbgH7n6z3/+0+15Om5ZMmvWrIDjaK9Ov2fPHmW7lK7s2bNHqY7f07YsFJ3adzQA0Kmobcf3Qscq8F3pmET98D00Z84cJCQkAABee+01yLLc5Tnai+sC6HV5SXcuu+wyAP6q9t1t+VNZWYkVK1YAAM4991zEx8f3q69BFZ6lYhQp3G63PG/ePGUh4m9/+9uQ9NPXBfKzZ89WYjl27Fiv5124cKHS/v333w9OsBTxysrKun3u448/VupZjRgxosuyDm1tbUox0fz8/C7LnnzzzTfKZrnjxo3rsuBkb+/nBx54oNMi/a7O4XQ65blz5yrtflgwmCLXokWLunz/dfTss88q/++HDx8ue71e5bnm5mY5Li5OBiDHx8fLu3bt6vIcn332maxSqXosjdN+oRMA+amnnjrl+fXr1yulJWbPnt1lP8eOHVPO0V2bxsZGOSEhQfnZ+uEVjT6fT16wYIFynpUrV3bzLzO0MNmiHl1xxRXKm/qcc86Rd+3apdR66ep28ODBfvUTimTL5/MphSWTk5N7vGqMYkt8fLw8b948+Z///Ke8fv16ecuWLfJ7770nX3311cr7KykpSd62bVu351i6dKksCIJype3zzz8vb968WV6zZo384IMPykajUQYgazQaee3atV2eo7f3c319vZLUAZDPOuss+Y033pC3bNkib9y4UX7ppZeUy/Jxst4W3+fRIz8/X05OTpZvu+02+bXXXpPXrl0r79ixQ16zZo38wgsvyDNnzux0ZexXX311yjkee+wxpY3ZbJYfeOABeeXKlfL27dvlL774Qv7Vr37Vqf7WkiVLuozFarXKJSUlSrtf/OIX8sqVK+UNGzbIf/7zn2Wz2SwDkI1Go7x9+/Yuz9GXZEuWZfmll15S2hUVFcn/+te/5M2bN8v/+c9/Ov1i0XFnh6GOyRb1qP1N3ddbf0s3hCLZ6ngZ8R133NGvuCg6tRcb7e42ZsyYHhOtdv/3f//XY70us9ksf/TRR90e35f38/bt2+WCgoJef/ZOO+00+fjx4/39J6EhqKdCth1vOTk53e6KIUmSfPfddyu/GHR302q1vZZbOHz4sDxixIhuz2GxWHosrtrXZEuWZfnhhx/uMeaLLrqo11G/oYTJFvUokpOta6+9Vmnbl+0sKHa89dZb8i233CKPHTtWTk5OlnU6nZydnS1feOGF8quvvip7PJ4+n2vPnj3yr371K7m4uFg2Go2y2WyWJ0yYIN9///3dVuRu19f3s81mk59//nl53rx5ckZGhqzT6WS9Xi/n5ubKl1xyibxkyZKAYqbIcOTIEfmll16Sr776annChAlyenq6rNFoZLPZLBcVFck//vGP5UWLFsl2u73Xc23ZskX+5S9/KY8bN06Oj4+X1Wq1nJCQIE+ZMkW+9957+zwrYbPZ5CeffFKeOnWqnJiYKMfFxckjR46U77nnnl6T/UCSLVn27wt67bXXyrm5ubJOp5PT0tLk8847r9tttoYyQZa7WelGRERERAPGqxGJiIiIQojJFhEREVEIMdkiIiIiCiEmW0REREQhxGSLiIiIKISYbBERERGFEJMtIiIiohBiskVEREQUQky2iIiIiEKIyRYRERFRCDHZIiIiIgohJltEREREIcRki4hogObPnw9BEKBSqbB27do+HbN27VqoVCoIgoCLL744xBESUTgJsizL4Q6CiCiSVVZWYuzYsbBarRg5ciR27NgBg8HQbXu3242JEyfi4MGDsFgs2Lt3L3JycgYxYiIaTBzZIiIaoJycHDz55JMAgIMHD+LRRx/tsf1jjz2GgwcPAgCeeuopJlpEUY4jW0REQSDLMubOnYvVq1dDo9Fg06ZNmDRp0intdu7cialTp8Ln82HOnDlYuXIlBEEIQ8RENFiYbBERBcmRI0cwYcIEOJ1OnHbaadi8eTM0Go3yvCiKOP3007F161YYjUbs3r0bRUVFYYyYiAYDpxGJiIKkuLgYjz32GABgx44d+Otf/9rp+WeffRZbt24FADz++ONMtIhiBEe2iIiCSBRFzJgxA5s3b4Zer8fOnTsxcuRIHD16FOPHj4fT6cS0adOwYcMGqNXqcIdLRIOAI1tEREGkVqvx6quvQqvVwu1249Zbb4UkSbjtttvgdDqh1Wrxr3/9i4kWUQxhskVEFGTjx4/HAw88AABYt24d5s2bh2+++QYA8OCDD2LcuHHhDI+IBhmnEYmIQsDj8WDy5MnYu3ev8ti4ceOwdetW6HS6MEZGRIONI1tERCGg0+k6TRe2Ty8y0SKKPRzZIiIKoeHDh6OsrAz5+fk4fvx4uMMhojDgyBYRERFRCDHZIiIiIgohJltEREREIcRki4iIiCiEmGwRERERhRCTLSIiIqIQYrJFREREFEJMtoiIiIhCiMkWERERUQixgjwRERFRCHFki4iIiCiEmGwRERERhRCTLSIiIqIQYrJFREREFEJMtoiIiIhCiMkWERERUQgx2SIiIiIKISZbRERERCHEZIuIiIgohJhsEREREYUQky0iIiKiEGKyRURERBRCTLaIiIiIQojJFhEREVEI/X+EDy6qu48gVQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pp = gmb.ParrayPlotter(x_pa, y_upa, x_scale='standardized')\n", "# pp = gmb.ParrayPlotter(x_pa.z, y_upa) # equivalent\n", "pp.plot();" ] }, { "cell_type": "markdown", "id": "b0cd02e2", "metadata": {}, "source": [ "The same `ParrayPlotter` instance can be reused to produce an alternative view of the data. Simply call `pp.update()` after changing the **_scale* or **_tick_scale* attributes." ] }, { "cell_type": "code", "execution_count": 9, "id": "b046d901", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:04:33.092366Z", "iopub.status.busy": "2021-11-26T22:04:33.024244Z", "iopub.status.idle": "2021-11-26T22:04:33.224952Z", "shell.execute_reply": "2021-11-26T22:04:33.224070Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pp.x_scale = 'transformed'\n", "pp.x_tick_scale = 'transformed'\n", "pp.update()\n", "# pp = gmb.ParrayPlotter(x_pa.t, y_upa, x_tick_scale = 'transformed') #equiv\n", "pp.plot();" ] }, { "cell_type": "code", "execution_count": 10, "id": "5529fbf5", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:04:33.261550Z", "iopub.status.busy": "2021-11-26T22:04:33.257434Z", "iopub.status.idle": "2021-11-26T22:04:33.432939Z", "shell.execute_reply": "2021-11-26T22:04:33.433676Z" } }, "outputs": [ { "data": { "image/png": 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hwoULFwIApk2bhsceeyyga8aMGQMA2LlzZzBNE1GIeF0u2BqaYGtogjJGD7UxASpDLAQZ90EkIjpRQSVYmzdvhiAI+O1vfxvwNZmZmQCA+vr645xJRH3tULV4QS6HMkYPlSEWytgYVosnIuqhoBKsxsZGAEBeXl7gDR6s4u5ycTiCqL8SPR44281wtpsBQYBCp4VSr4Nco4FCq4ZMpfJtnE1ERN0KKsHSarVwOp2wWq0BX1NZWQkASEhICKZpIuorogi3xQq35Zffc0Emg1yjhkyphEwhh6BQQKZQQJDLIcgEX/Ilk/key2S+GlwHPzMxI6JoEFSClZeXh59++gk//vgjzjzzzICu+fjjjwEAQ4cODaZpIpKQ6PXCbbUBsPX4WkEuh1ytglylguzgZ2WMHjIl6x4TUeQIahXh1KlTIYoiFi1aBK/Xe9zzv//+e7z99tsQBAHnn39+ME0TUZgSPR64rTY42tpha2hCZ1UNTLv3oX1/OWyNzfDYHVKHSEQUtKASrDvvvBNarRbbt2/HLbfccsx5Vf/5z39w/vnnw+l0wmAw4NZbbw2maSKKMG6rDdb6RrTtK0X7/nK4OjqlDomI6IQF1SefkZGB559/HrfccgveeOMNfP7557jooov8zy9evBhWqxVr165FWVkZRFGEIAhYtGgR4uLigg6eiCKT22qDubwSyhg9dGkpUGhZdZ6IwosghqCM85IlS3D33XfDarV2O4H1UBNqtRoLFy7E7Nmzg20yrGVmZqKmpgYZGRmorq4O6b2d5g50VFSF9J5EUlPFx0GfngqZgvO0iEg6PXn9DnqrHAC46aabsGfPHtx7770YOHAgRFHs8pGRkYE5c+Zg9+7dUZ9cEVHPOQ9u7+O22aUOhYgoICHpwfo1s9mMxsZGeDweJCYmIikpKdRNhDX2YBGdGEEmgz4zDep4TjEgor7Xk9fvXulvNxgMMBgMvXFrIopioteLzsoauG126AaksKYWEfVbIRkiJCLqS/amFnRW1qAXOuCJiEIiqARLLpdDLpcjLy8P27dvD+ianTt3QiaT+bfModDZ9PFmPH3/Qnzx2VbUVDbB6+WLD0UuZ7sZluo6qcMgIupWUFnOoXePBw4cwLhx4/D222/jkksu6dG1FDrbvv4ZJdvLUbK9HJ9+9C1iYrUoGpqNQUOzUTA4E4Y4vdQhEoWUw9QGQSGHPi1V6lCIiLoIuhtJEAQoFAp0dnbi8ssvx6OPPoo//elPoYiNekAURbQ0mLoc6+yw4Yfv9uKH7/YCAFIGJKBgUCYKBmcivzAd+hjWFqLwZ29qgUwuhzaFi2mIqP8IyTjdBx98gD/+8Y8oKSnBX/7yF+zcuRNLliyBWq0Oxe0pAIIg4OElf0TN3gr88Pl32LuzEvv3VsPp+KW6fmO9CY31JnyzwTecmzIgAbkD0/wfSSlxnDRMYcla3whBIYfGyE3kiah/CEmCNWjQIGzZsgUzZ87E2rVr8cEHH6C0tBQrVqxAWlpaKJqgACWnJWLsxJMxduLJcLs9qCitQ8nuKuzfW43qA41d5mUdSri2fL0LAKDTq5GZk4KsnFRk5qQgMycFcfF6Jl0UFiw19f6No4mIpBaymeZxcXH49NNPcc8992DBggUoLi7GmDFj8N///hcjR44MVTPUAwqF3DckOCgTAGC3OVG+vxb791ajorQO1QeaumzSbbU4sG9XFfbt+qWOlk6vRlpGEtIyk5CemYiUAUakDEiAVsfeSepnRBGdVTWIK8xnxXciklxI/wrJ5XK8+OKLGDZsGO6++27U1NRgwoQJWLJkCa688spQNkUnQKNVYcjJuRhyci4AwOl0oaqiERWldThQVo+qA43oNFu7XGO1OFC6rwal+2q6HI816JAyIAFJqfFITIpDYrLh4Oc4aLSqvvqWiLrwutzorKpFbG4We16JSFK98jbv9ttvx6BBgzBz5ky0trbimmuuwc6dO/Hoo4/2RnN0glQqJQYWZWBgUQYA30T5NlMnqioaUH2gEbXVzairboa53XrEtR1mKzrM1iMSL8CXyMUnxCA+IRZxxhjExcfAEKeDIU6P2IOf9TFayOUsw0ah5+rohL2phZPeiUhSvdaPfvbZZ+Pbb7/FRRddhL179+L//u//sGvXLjzwwAO91SQFSRAEJBhjkWCMxSkjC/zHOztsqKtpRn1NCxrqTWg6OHers8PW7X3sNifqba2or209RluATq9BTKwOMbFa6GO00MdoDvusgS5GC71e4z+uVCnYK0EBsTY0QRGjg1KnkzoUIopSvTpRoaCgAN999x2uvPJKrF69GitWrMC3337bm01SL4iJ1aJwcBYKB2d1OW612NHc2I7W5na0NJvR2mxGS3M72lo70W7qhNvtOeo9RRGwdNph6bSjIcBakQqF3JdsxWqh12uhj9UgJkaLGIMvSYs9+PlQT5lcLg/m26ZwJororDw4H4s/B0QkgV6fCWowGLBq1Srce++9eP7551FXx8rLkUKn1yA7T4PsvCOLPIqiCEuHDSZTB9pNFnSYrTC3W9DRboG53YrODhs6O6zoNNvgcrkDas/t9qC9zYL2NstxzxUEQB+jhSFej7h4PeKNBiQYYxB/sIfOmGRArEHHHrEI5nW6YKmpR2x2htShEFEUCirBys7OhiAIUKmOPalZJpPhueeew0knnYQ777wTLpfrmOdT+BMEwdezZNAhK+fY5zodLnR22GCx2Py9WpYOG6wWOywWO6ydNlgsvxzr7LB3Wf3YHVHEwSTOhtqq5m7PUamVMCYZkJQch6SUeKQMiPetkkxLgFbLVZKRwNnWDmdCHFSxMVKHQkRRJqgEq6Kiokfn33LLLZg4cSJ7sagLlVoJ48FkJxCiKMJud8JyMIHq7LChw2z1f/b1kllgbvP1lh0tGXM6XKivaUF9TcsRzxnidEhNT0R65uElKhI47BiGLDV1UBYNhCDjogoi6jt9XiymqKgIRUVFfd0sRRBBEKDVqqHVqpGUEn/Mc71eEZ0dVrS1dsDU2glTixltrR1oafLNF2ttNsPjOTIBM7dbYW63omT3LzXBFAo50jKTkHWwCGtWbgpSBiRAxhfufs3rdMHa0MT9ComoT7EaH0U0mUyAIU4PQ5we2XlHPu/1etHW2ommBt/KyIZ6ExrrTGioa4XVYu9yrtvtQVVFA6oqGvzHNBoVsvNT/dsNZeWmQqNhHbD+xt7cCnV8HBRajdShEFGUYIJFUU0mk8GYZIAxyYBBJ/0yWUwURZjbLairbvHXA6upakJTQ1uX6+12Z5fq9zKZgIysZOQfrC+WW5DG+Vz9gSjCUlMHw8BcLmwgoj4RUIKVn58PwDc0U1paesTxE/HrexH1J4IgIC7eVyR18LBfEi+b1YHqykZUH2hEZUUDDpTWo+Ow6vder4iqA42oOtCIDWt+hCAIyMxORuEQX5mLnIEDoFTyfY0U3FYbHC0maJKMUodCRFEgoL/0hyaz//qdX08nuR+O7yIpHGl16i41wURRhKmlA+WldThQWoey/bVoOKzAqij+knB98dn3UCoVyCtMQ9GQbAw6KRupaUb+LvQha30jVHGxkCmVUodCRBEuoARr9uzZPTpOFC0EQfAPMY46fRAAX3mIspIalJXUonRvdZeK9i6X2z+k+PF/vkZcQgwGDfUlW4VDsjic2MtErxfW+ibEZKVLHQoRRThBFEVR6iCiTWZmJmpqapCRkYHq6uqQ3ttp7kBHRdXxT6Q+Y263oHRvNUr2VGPf7iq0mzq7PU8mkyGvIA2Dh+Vg8LAc9m71orjCfE54J6Ie68nrNxMsCTDBil6iKKKx3oR9uyqxd1clSvfVwO3qfkuhBGMsBg/LwZCTc1EwKBNKFeduhYoyRg9D/nEq4BIR/UpPXr/5F5uoDwmCgNQ0I1LTjJhw7nC4nG6UldRgz85K7Nlegeamdv+5ptYObN64A5s37oBCKUfBoEwMGZaLISfnICExsKKs1D1XpwVOcwdUhlipQyGiCMUeLAmwB4uOpqmhDXt3HsCu7RUoK6mBx919FfrUdKM/2crJH8AK8ydArlYhrmggh2GJKGAh78HauHFjSAL7tbPOOqtX7ksUrpJT45GcGo/x55wKh92Jkj3V2L29Ant2VMDc/ks5iIbaVjTUtuLLz3+ARqNC4ZAsDB6Wg0EnZSMunvvuBcLjcLJsAxH1moASrEmTJoX8XZ4gCHC73SG9J1EkUWtUGDY8H8OG58PrFVFb3YTd2w9gz44KVFU04FDfs93uxPYfS7H9R19duQHpRhQNzUbRkCzkFaZDpWJJgqOxNjRBlRAHGXsAiSjEAp6DxZFEIunIZAIys1OQmZ2CKdNHo7PDhr07D2DPzgPYt6sSVovDf259bSvqa1uxce1PUCjkyB2YhoGDMlAwKBNZuSkcTjyM6PHA1tjMfQqJKOQCSrDWr19/1OecTiceeughFBcXIzk5GbNmzcKYMWOQmprqWzHV2Iji4mIsXboUjY2NGDNmDB577DEoWeiP6ITFxGox6ozBGHXGYHi9XlRVNPqTraqKRv8bIrfbg/17q7F/bzVW4zuo1ErkDkxDfkE6cgvSkJ2bGvWrEx3NrdAkGSHn3yQiCqGgJrmLoojp06dj9erVuOmmm/Dcc89Br9d3e67VasW8efPw2muv4fzzz8cnn3xywkGHO05yp95ktdixf0819u2uxL5dVTC1dhz1XLlchozsZP9G1dm5qUhIjI26id9qYzxiMll8lIiOrc/KNCxevBifffYZpkyZgldfffWY5+p0OixatAgHDhzA6tWrsWjRItx6663BNE9E3dDpNThlVAFOGVUAAGhtNvt7sUr3VneZLO/xeFFZ3oDK8gb/MX2MBlk5qcjITkZ6VhLSs5JhTDRAJovcpMthaoc2ORFyNSvpE1FoBJVgvfHGGxAEAXfccUfA18ydOxdr1qzBm2++yQSLqA8YkwwYkzQUY8YNhSiKaG5sR0VpHSpK61C+vxZNDW1dzrd02rHn4PyuQ9QaJdIykpCabsSAdCMGpCUiNd2ImFhtZPR2iSKsDU2Izc6UOhIiihBBJVh79uwBAGRnZwd8TVZWVpdriajvCILgLwUxeuwQAL69E6sqGg5+NKKyogFWi73LdQ67y5+UHU6nVyM5NQGpaUakDEhAygDf43hjbNj1eDnbzHAn26DQaqUOhYgiQFAJlt3u+yNcVVWFESNGBHRNVZVvfpDD4TjOmUTUF2JitRhyci6GnJwLwDe30tTSgdrqZtRUNaG2qhm1VU1o62YPRavFgQNl9ThQVt/luFKp8CdcAzKMSMtIwoCMRMQnxPTrHi9rfRMMeYG/YSQiOpqgEqyCggJs374dCxcuxMUXXxzQNQsXLgQADBw4MJimiaiXCIIAY5IBxiQDhg3P9x+32RxoqGtFQ00r6ut8hU4b61vR3mY54h4ulxs1VU2oqWoCin85rtGqkJ6Z5JtQn5eK7LwBiE/oP4VRXR2dcHVaoIzpfrEOEVGggkqwZs6ciZ9//hmrV6/GHXfcgWeeeQYaTfc71DscDtx333347LPPIAgCrrrqqmCaJqI+ptWqkZufhtz8tC7H7XYnmupNaKg3obGuFY31JjTWm9DS1A6vt+siZbvNibKSWpSV1PqPxcXrkVeQ7iuOOjRL8kr01oYmxDHBIqIgBVWmwW63Y8SIEdi7d69vE9vUVMyaNQujR49GSkoKBEFAQ0MDiouLsWzZMtTX10MURQwePBg//vgj1FG6YodlGigauF0eNDWaUF/birrqZtTVtKCuurnbHq/DDUg3YtBJOTh1VAEyc1IkGVKMzc3iRtBEdISevH4HvdlzXV0dpk+fjp9++sl3w6P8MTzUzIgRI/Dxxx8jLS2t2/OiARMsimYdZuvB0hD1qCz3Ta53OFzdnpucGo8RYwZh5JgiJCbH9VmMco0GcYV5/Xq+GBH1vT5NsADA4/FgwYIFWLhwIXbv3t3tOUOGDMGcOXMwZ86cqN+qgwkW0S88Hg8qyxuxb1cl9u2u7LLP4uHyC9MxccoIDB6W2ycrFGOyM6CO77ukjoj6vz5PsA5XV1eH7du3w2QyQRRFGI1GnHzyyVHdY/VrTLCIjs7SacPObeX4YctelO2rOSLZSk0zYtLUERg+uggKRe+9WZOrVYgrGsheLCLy67ME69FHHwUAnH766TjvvPNO9DZRhwkWUWDaWjvwY3EJtm7ejcZ6U5fn4hJiMGX6aIweOwQymaxX2tdnpkNjjO+VexNR+OmzBEsmk0EQBKxYsSLgMg3EBIuop7xeEXt2VGD96h+OKHaamZ2MS6+aiJz8ASFvV6ZUIn5QAYQwK5pKRL2jz/YiTExMRGtra48quRMR9ZRMJmDoKXkYekoeyvfX4cvPv8eunysAANWVTXjxHx9i1BmDMW3GmTDEha7EgtflgqPVBE2SMWT3JKLoEFS/ekGBbzPZ+vr645xJRBQaeQVpuPGOC3H7vTMwICPRf/z7b/fgnw+/ix+37A1pe7bGZogeb0jvSUSRL6gE68orr4Qoili6dGmo4iEiCsjAogzM+9OVuPTKs6DV+Wrq2e1OvLdkDT54Yy0cdmdI2vG63bC3tIbkXkQUPYJKsO644w6ceuqpeOutt/Dmm2+GKiYiooDI5TKMO/sU/OHR6zDy9EH+499/uwfPPf5vVFc2hqQdW1MLvG53SO5FRNEhqEnulZWVaGpqwm9/+1ts374d5557Lq655hqccsopSEhIOG69q2idu8VJ7kS94/tv92DF+xv8hUvlchkuumI8xp19StD31iQaoc8I/UR6Igoffb6KEPBVau9JvRhBEOCO0neETLCIek9zYxveXfw5qg/80ns14ZxTceEV44Ir5yAIiC/KhzxKt/giop69fgddPEYURf82OIceB/pBRBRqSSnxmHv/5Thr8nD/sU1fbMPbiz6D09n9ljwBEUVY60Iz5EhEkS+oMg2vv/56qOIgCp4gQKnXQaZSQiaXQ1AoIFPIIXq8cNtscFtt8DhCM/GZ+jeFQo6LrhiP1DQj/vPueni9Inb8VIZXnv0IN95xIWJitSd0X6e5Ay6LFUq9LsQRE1GkCSrBmj17dqjiIDphcpUKamM81AnxkCmP/SPt9XjgttrgMLXB2d6Bbje9o4gxZtxQxMXr8faiz+BwuFBZ3oAX5i/DrfdccsKbR1vrGmAYmMstdIjomHpnfwmiPqDQ62DIz0HcoIHQpiQdN7kCAJlcDlVsDGKzM5EwuADa1OSArqPwNeikHMz5/WX+AqStzWYsfPYjmFrMJ3Q/t9UGZ/uJXUtE0YMJFoUdQSaDPn0ADPk5UMboT7gnQaZUQpeajPjBhYjJTIdMqQxxpNRfZGQl464/XIGUAQkAfHscLnz2I7S1dpzQ/az1jRC9LD5KREfHBIvCijJGj7jCfGiSjCEbohEEAWpjPOIHDYQuLRXCccqLUHiKN8bitt9diuTUeAC/9GS1mzp7fC+v0wV7M4uPEtHRhWxspKOjA2vXrsW2bdvQ3NwMm812zJWCgiBg8eLFoWqeIp0gQJ+WCnViQq/NfRFkMmiTE6E2xsPe1AJ7cyt7KSKMIU6P2353KRY+swLNje1oaWrHwmdXYM59l/V4D0NbQxNUcbEs20BE3QqqDhYAeL1e/P3vf8fTTz8Ni8US0DWHamZ5PJ5gmg5brIPVM4JcjticTChjQreJbyC8Lhes9Y1wmNr7tF3qfW2mTrz89HK0NvvmUqUMSMDc+y+HTq/p0X0OzQPkhHei6NCndbB+85vf4NFHH0VnZydkMhmSk5P9PVeZmZnQ6/Vd6l4lJSUhJycnaqu4U8/I1SrEFeT2eXIF+OZoxWRlIK4wj8vyI0x8Qgxuv3cGEhJjAQCN9Sa8tehTuN09e9PntljhaG3rhQiJKNwFlWCtXr0a77zzDgBfotXY2Ii1a9f6nz9w4ADMZjP27NmDe+65BzKZDAkJCfj0009RXl4eXOQU8ZQxehgG5kk+BKPQamEYmIvY3CzJY6HQSTDG4tZ5l0J/sCZW6d4afPjOFz0ugmytb4TXFUQBUyKKSEElWIcKjZ500klYsmQJEhK6nx9TVFSEZ599FitWrEBpaSmmTZuG9nYOu9DRqRPiEJuXDZmi/0w4VxliEVeUD31mOks7RIik5DjcOGc6FErfz9n33+7FmlXFPbqH6PHAUlPfG+ERURgLKsH69ttvIQgC5s6dG9D5F154IWbPno0DBw7g+eefD6ZpimCaJCP0men9cl6LIAjQGOMRP6gAugEpXHEYAXLyB+DqG6fg0I/bmo+3YOvm3T26h9PcwdpYRNRFUAlWY6NvX66ioiL/MflhLzgOh+OIa6644gqIoogVK1YE0zRFKF1qMvTpA/plcnU4QSaDNiUJCYMLoUtLhUzBHq1wdsrIAky/fJz/62Vvr0fp3p4tQLHU1MPris4N7InoSCGpg2U0Gv2PY2Nj/Y8PJWCHS0lJAQBUVFSEommKIPr0AdCmJksdRo8Icl9ph/jBBdCnD+DQYRg769zhGDvxZAC+1dFvv7YabT2okeV1u9FRWQ3Ry+2XiCjIBCs1NRUA0Nra2uWYSqUCAPz8889HXFNZWQkAsNvtwTRNkUQQEJOVAU2S8fjn9lOCTAZNktFXFT4rAwrdiW0mTNIRBAEXz5qAoqG+Fc6WDhveeuVTuF2Bryx0W6yw1HI+FhEFmWCdfLLv3d6uXbv8xxQKBUaMGAHgl0nwh3vllVcAADk5OcE0TRFCEATE5mRCnXBiG+/2N4IgQJ0Qh7iCPBgKcqGKNwD9fLiTfiGXy3Dtb6f6yzdUVTTgv0s39ugejlYT7C2m3giPiMJIUAnWpEmTIIpil9IMAHDdddf551ndcMMNWLVqFZYtW4aLLroIq1evhiAIuOSSS4IKnMKfIJMhNi8bKkPs8U8OQ0qdzrep9JBC6AakQK5WSR0SBUCn12D2bdP8Kwu/3bQTW77edZyrurLU1sNlsfZGeEQUJoKq5F5eXo6BAwdCrVajoqLCP2Todrtxxhln4IcffjhisrIoisjJycEPP/yAhISE4KIPU6zk7qvObsjLjrqhNFenBQ5TG5ztHdyGp5/bunk3/v3mOgCAQiHHHfdfhqyc1ICvlykUMBTmQc5NxIkiRp9Vcs/Ly0NZWRl27NgBg8HgP65QKLBmzRpce+21UCgUXSq5T58+HZs2bYra5IoAmVIBw8DcqEuuAF/x1JisDCQMKUJMVgaUsTEcQuynTjtzCM48OOnd7fbgrVc+g9US+NxRr9uNjrID8DhZhJQoGgW9F+HxdHR0oKSkBG63GwUFBV1WHEaraO7BkmvUiM3L5rv6w3hdbjjbzXC2mzms1M+43R4sfGYFDpT5Jq4PG56PG267oEdlRGRKJQx52ZBruAsAUbjr070Ijyc2NhYjR47EmDFjmFxFOd/WN7lMrn5FplRAk2SEYWAuEoYUQZ8xwLf3Inu2JKdQyHHdLedDp/clRzt+KsPmDTt6dA+vywVzWQXcVltvhEhE/VSvJ1hEAKBOiPdtfcPK58ckUyqgSTTCkJ/jH0ZUxcexYryE4hNicOXsyf6vV374FWqrm3t0D6/bA3PZAbg6LaEOj4j6KSZYAaisrMTvf/97DBkyBHq9HkajEWPGjMFTTz0Fq5VDOsejTU1GTFb/3PqmP5Mp5L49GbMzkDC0CIaBudANSIEyRg9Bxl/dvjT0lDyMP+dUAL5hw3de/QxOR8/mVoleLzrKK2Fvbu3xhtJEFH4CmoN10003hb5hQcDixYtDft9QW7VqFa699tqjbk49aNAgfPLJJ8jPzw/4ntEyB0uQyxGTlR6xZRikJHpFuG02uK02eGx2uG12eJxOgC/cvcbt8uDFf3yImqomAMDosUMw64ZzT+heSr0O+sx0lu4IEY/LBY/VBo/LBa/LDe/Bz6LHA0DwjbYLAiAIkCkVkKtUkKlUkKuUkGvU3OqKAtaT1++AEiyZTBbS3gdRFCEIAjyewCskS2Hbtm0YO3YsrFYrYmJi8OCDD+Lss8+GzWbDBx98gFdffRUAMHjwYBQXFyMmJiag+0ZDgqXQahCTnckXkD4ker3w2B2+FxmHE16XCx6nC6LbDa/HA9HjPfiCQyeqqcGE5x5f6u+9uuamKRgxZtAJ3UuQyaBLS4UmkSuqe8pttcHVaYHbaoPbZgt6D0i5Rg2lXg9ljA4KvR4yBYfkqXs9ef0OKG3Pzs4+ZoJltVrR1NTk/1qlUsFoNEIURZhMJjidTgC+XqukpCTodLpAmpXcvHnzYLVaoVAo8Pnnn+PMM8/0P3fOOeegsLAQDzzwAPbs2YNnnnkGf/3rXyWMtv9QG+N9GzZzGKtPCTIZFDotFDh6+QtRFH31t7xeiN6D5VO83l+OH/wsesVfEjO3B6LHA4/TBa/TGdX1u5JTE3DZ1RPxwRu+4srL39uA3IFpSEg0HOfKI4leLyw1dXC2tUM7IAVKfXj8XZSC6BXhsljgMnfAae4I+abaHrsDHrsD9pZWQBCg1OugToiDymCAIOffMToxQZdp+OGHH3DFFVeguroat9xyC2666SYMHz4c8oOTcj0eD7Zt24bFixfj1VdfRWZmJj788EOMHDkyJN9AbykuLsaYMWMAALfddhsWLlx4xDlerxfDhg3D7t27kZCQgIaGBigDWCEXqT1YglwOffqAiNn2ho4kiiK8bje8Dic8doevJ8FqhTfKaj29t+Rz/LhlHwAgvzAdt/3uUsiCfEOh1OugTU32rSAliKIIt8UKR1u7rzCvBL2vgkwGpSEWGmM8/18IQB+Waairq8O0adNQV1eH1atX46WXXsKoUaP8yRUAyOVyjBw5Ei+99BLWrFnT5Zr+7KOPPvI/vvHGG7s9RyaT4YYbbgAAmEwmfPnll30QWf+kjo9D/KCBTK4inCAIkCuVUMbooUkyIiY7AwmDC5EwpAixOZnQJBohV0X+sPCMqyci3uibW1hWUosNa34K+p4uixXmsgNoL62Ao90ctT2FHocT1vpGtO3dD3PZATha2yQb2ha9Xjjb2mEuO4C2fWVwmNogejnPkQITVIL11FNPobGxEfPmzcPZZ5993PMnTpyIefPmobGxEf/85z+DabrXbdq0CQCg1+sxatSoo543ceJE/+Ovvvqq1+Pqb2QqJWLzshGTncGJolFMplRAFWeAPmMA4gcXIH7QQOjSUyO2npdWq8bVN072f2ur//ctaiqbjn1RgNwWKzoPVMO0uwSd1bVwWawRv+pQ9IpwtJl9icze/bA1Nve7XlGP3Y7Oqlq07S3xxcf5jHQcQSVYH3/8MQRBwPTp0wO+5tC5q1atCqbpXrd7924AQEFBARTHSBwGDx58xDXRQJDLoUtNRnzhQKhiA5vcT9FDrlZDm5Toq+c1tAgx2ZlQR1g9r/zCDEya6pvq4PF48d6Sz+Fyhm5ukOjxwNHaBnNpBdr27vfN1zJ3QPRETs+W2+6Apa4BbXv2obOyOizqhHldbl8P2x5fIhitPY10fEF1ORwaf9RoNAFfc+jcUM89CiW73Y7mZl8hwczMzGOem5CQAL1eD4vFgqqq7uc+ORwOOBwO/9fh/G5UkMuhSTJCk2Rk0VAKiEwuhzreAHW8wT+vxtnRCZe5E57Dfi/C0dSLTsfeXZWorWpGY70Jq1Z8g0uvPCvk7XidLthbTLC3mPyTsJUxet+iBp02rBaUeD0eONvMcJjawrq6vejxwFrfCHtzKzQpidAYE8Lq/4F6X1A/DXq9b9JfcXFxwNds2bIFAPr1SsKOjg7/40BKLxz6d+js7Oz2+SeeeAJxcXH+j9ra2tAE2ofkKhV0A1IQP7gAutRkJld0QgRBgDJGD31aKuIHDUT84ALoMwZAFWcIyyFmhUKOa26cCoXS9/vw9fqfsXfngd5tVBTh6rTAWt8Ic9kBtO7ci/aSMlhq6+EwtcNtd/S7N3GixwtHmxkdB6rRtmsfLDV1YZ1cHc7rdsNa24C2vaW+OVr97N+epBNUgnXaaadBFEU8/vjjXco0HE1jYyOeeOIJCIKA0aNHB9N0r7Lb7f7HqgAm7KrVvn3KbLbu/2A8+OCDaG9v93+kp6eHJtBeJsjl0CQmwFCQi/jBBdCmJDGxopCSq1TQJBoRm5OJhKFFiC8aCH1mGtQJ8VBoNWFR/T813YgLLxvn/3rpW+tgtdiPcUWIiSLcNjvsza3orKpB+75SmHbuRXtpBSw1dbC3mOCyWPt8zpDX5YLD1IaOiiqYdu1FZ2U1nO3miE1AvC4XOqtqYd5fHhZDndT7gnrLeOedd+Kzzz5DbW0tTj/9dDzzzDO4+OKLj1iu7PV6sXLlStx7772oqamBIAi4++67gwq8Nx0+5HmohtexHBr+02q7rz+kVqv9SRiAfvui4a+jpNdBqddBodNBkPXPWCkyyTVqyDVqwOgrvimKIrwOJ9x2B7yOg0VUnQc/XK5+82J95sSTsfPncpTsroK53Yrl72/AdTefJ1k8otcLt8UKt6XrVl4ylRJytRpylQpyjcpX0VythkypCOrvkuj1wuN0+Qp/WixwW2y+nQWikNtmh7nsAFSGWOjSUiA/7G8/RZegEqxp06bh7rvvxvPPP48DBw7g8ssvR0JCAkaMGIGUlBQIgoCGhgb89NNPaG39Zf+tu+++G+eff35IvoHeEBv7y9YuRxv2O5zF4nu3Emgl994kUymhToiH6PEVh/R6vIDoBeDbJuLQlhEyhQIypRIyle/D9wdX3W+TP4pOgiD8knR1w+v2wOt2+4qiHvpwHfz60JYpzt5PxGQyAVfecC6e/vv7sFkd2La1BMNOzcPw0UW92m5PHUpOu1ufJ1Me/JugVEKQyyDI5RBksoMfwsGitAcL0YoiRLcHXqcTHqcz5IU/I4HT3AFnRyc0iQnQclpFVAp60sNzzz2HrKwsPPzww7BarWhtbcUXX3zR5ZxDf9y0Wi3+/ve/49577w222V6l0WiQlJSE5ubm407GN5lM/gQrKyurL8I7JoVGg5is8BiCJAqWTCE/uK3J0XsJRFGE1+mCx+mEx+GAx2aHq9MKryu0ZQDiEmIw4+qJeG/x5wCA5e9vQF5BOuISpH/jFQhfQuoGEBlzo/oFUYS9udVXrT81BWpjPN/ERpGQLHm47777UFZWhvnz52PKlClITU2FSqWCSqVCamoqpkyZgvnz56O8vLzfJ1eHDBkyBACwf/9+uN1Hf3e2Z8+eI64hov5DEATI1SqoYmOgTUpETFYGEoYUIn5QAfSZ6VDFx4Vs9deI0UU49bRCAIDN6sDSt9f1m2FMko7X7YGlps43P+tXw7YUuUK2bCclJQX3338/7r///lDdUlLjx4/Hpk2bYLFY8P333+P000/v9rwNGzb4H48bN67bc4io/5GrVZCrVdAY432lA0ztsLe0wuMIbu7QZVdPRHlJLcztFuzbVYVvvtyOcWefEqKoKZy5bXaYSyugio/zzc8KYGs1Cl8s2nEUl156qf/x66+/3u05Xq8Xb731FgAgPj4+oGr2RNT/yA7Wd4sfVABDfk5Q+87p9BrMmn2u/+uPl3+NxnpTKMKkCOFsa0f73lIWKo1wTLCOYsyYMZgwYQIAYPHixdi8efMR5zz99NP+6u333HNPQBs9E1H/pozRw5Cfg5isjIPzu3pu0NBsjJ14MgDA7fLg/SWfw+3m1ir0C9HrhbW+Ee37yuA0dxz/Ago7ghjiCQJmsxkdHR3wBFBzJTs7O5RNh9yPP/6IcePGwWazISYmBn/6059w9tlnw2az4YMPPsCiRYsAAEVFRdi6dWuX1YfH0pPduIlIOl63B9a6BjhMbT2+1ul04V+PL/X3Xp17wWk4/5IzQhwhRQplbAz06aks69DP9eT1OyQJ1po1a7BgwQJs2rQJJlNgXeGCIBxz8nh/sXLlSlx33XUwm83dPl9UVIRVq1ahoKAg4HsywSIKL66OTnRU1kDsYbHO6gONeGH+h/B6vRAEAXf8/jLkDkzrpSgp7AkCtElGaFOSIcg5wNQf9eT1O+j/wUM1rf73v//5a10F+hEOLrroIvz888/43e9+h6KiIuh0OsTHx+O0007D/Pnz8eOPP/YouSKi8KOMjYFhYA5kyp6tC8rMScHUC8cA8JWLeP/1NbDbo7MAJwVAFGFrakHbvlI42rp/U0/hI6gerPfeew/XXXcdAF/tqEsvvRSjRo2C0Wg8opp7d2bPnn2iTYc19mARhSeP04mOssoeVSn3eLx4+enlOFBWDwAYPXYIZt1w7nGuIvLNB9SnDzhqoV3qez15/Q6qTMMrr7wCwFdg84svvsDAgQODuR0RUb8mV6lgGJgLc3klPPbA9huUy2W4+sYpePaxD+BwuFD8zW4MHpaDU0ay55uOzdVpQVtJGbTJidCmJIWsXhv1jaD+t37++WcIgoCHH36YyRURRQWZUgHDwBwodN3vPdqdxOQ4XDxrgv/rD99ZD1MrV45RAEQRtsZmtO8rg6vj+Fu3Uf8RVILlOrjVxIgRI0ISDBFROJDJ5YjNyYRMEfggwOixQ/y9VjarA+8vWQOPhzWQKDAepxPm8kp0VtXAGwYLxCjIBCs3NxdAYBsiExFFEplSiZjsDCDAveUEQcAV152NBKOvnEv5/lqs+3Rrb4ZIEchhakfb3lI42tqlDoWOI6gE67LLLgMArFu3LiTBEBGFE2WMHroBKQGfr9WpcfVNU/0b/q5dVYyyktreCo8ilOjxoLOyBh0Hqtmb1Y8FlWDdd999yM7OxnPPPddl02MiomihTU6EKs4Q8Pl5BWmYcnjphiWfw2oJbMI80eGc7WZfJfh2lnToj4JKsOLi4vDZZ58hNTUV48aNw4IFCwIuNEpEFCliMtMhV6sCPv/cC0YhvzAdANBm6sSyt78Im9qA1L943W50HKhGZ1Ut9zXsZ4Kqg5Wfnw8AsFqtaGxshCAIEAQBSUlJ0Ol0x25YEFBaWnqiTYc11sEiijxuuwPmkrKAE6U2Uyeefex9WC0OAMCFl4/DxClcMEQnTq5WIyYnEwrWzeo1fVYHq6KiosvXhyq0NzY2HvdaIcCJoURE4UChUUOTnAhbY3NA58cnxODK2ZPx+oJVAIBPVnyDrNwU5Bdm9GaYFME8DgfM+8uhSx8AjTFe6nCiXlAJVrRWYici6o42JQmOtnZ4na6Azh96Sh7OveA0rPt0K7xeEW+/uhq/+/OVMMTpezlSilSi1wtLdS3cFgv0GWksTiqhoBKs119/PVRxEBGFPUEmgz59ADoqqgK+ZupFY1BZ3oCSPVXoNFvxzquf4bbfXQq5XN6LkVKkc5ja4XE4EZuT1eM9NCk0mNoSEYWQyhALlSE24PNlMhmu+e1UxCXEAADK99fhkxWbeys8iiJuqw3t+8vgtnGVqhSYYBERhZguPbVHQzMxsVpcf8v5kMt912xc+xN+LN7XW+FRFPG63DCXVrCUgwSYYBERhZhcpYI2ObFH1+TkD8BFM8f7v1765jpUlNaFOjSKQqLXi44D1bA1tUgdSlQJ6cCsyWTCtm3b0NzcDJvNdtzlyjfccEMomyci6jc0yYlwtPnmwQRq7MSTUVvVjC1f74Lb7cEbCz/BXQ9cgcTkuF6MlKKFta4BosfTo90H6MSFJMH68ssv8fDDD+Orr74K+BpBEJhgEVHEEmQy6AakoONA4LXuBEHAZddMRGuzGfv3VsPSYcOSlz7GnQ9cAa2OtY0oeLbGZoheL3RpqSyX1MuCHiJ8+eWXMXnyZHz11Vf+OliBfhARRTJVnAEKraZH18jlclx/6/lIGZAAAGisN+GtRZ/C4/H0RogUhezNrbDU1PF1uJcFlWDt3r0bd999N0RRxMknn4yPPvoIq1b5iuYdqtS+detWLFy4ECNHjgQAjB8/Hjt37kRZWVnw0RMR9XPa1OQeX6PTa3DT3Auhj/ElZ/v3VGP5exv4gkgh42htQ2dVDX+melFQCdYLL7wAj8eDpKQkbNq0CRdffDGys7P9z+fl5WHkyJG49dZbUVxcjPvvvx9fffUV7rrrLuTk5AQdPBFRf6cyxEKhP/bWYd1JTI7Db+ZMh0Lhq4e15etd+N+yr/iCSCHjbDPDUlXLn6leElSCtWHDBgiCgLvvvhuxsceu+yIIAubPn49zzjkH69evx5IlS4JpmogobOhOoBcLAHIHpuGq30zGoakyX32xDZ9+tJkviBQyjrZ2WGrqpQ4jIgWVYB3a6PDQ8B/QdY9Bl+vI7SJuvfVWiKKId955J5imiYjChjJGD2XMiW1/c+pphZh5/bn+r9ev/gFrVhWHKjQiOFpNsNQ1SB1GxAkqwbLbfdVh09PT/cf0+l/+iJhMpiOuKSgoAADs2rUrmKaJiMKKdsCJ9WIBwOixQ3DZNZP8X6/5eAvWr/4+BFER+dibWmBraJI6jIgSVIJlNBoBABaLxX8sOTnZ34u1b9+RlYibm307zbe1tQXTNBFRWFHqdFDGxpzw9WeeNQwXz5zg//qTFZux9pNiDhdSyFgbmmBvbpU6jIgRVII1ePBgAEBJSYn/mE6nQ2FhIQDgf//73xHXHDqWnHzi7+aIiMJRsAUeJ5x7KqbNONP/9er/fYcP31nPEg4UMpbaejjNHVKHERGCSrDGjx8PURSxcePGLscvu+wyiKKI559/HkuWLIHFYkFTUxOeeuopLFq0CIIg4JxzzgkqcCKicKPQanq0EXR3zj5vFC68fJz/6y1f78LrC1bBbg+8YjzRsXRW1nCD6BAQxCD6l7/77juceeaZMBqNqK6uhkbjq9nS0tKCQYMGdTsHSxRFaLVabN26FUOGDDnxyMNYZmYmampqkJGR4V8oQETRwW21oX1/edD3+WlrCT54Yw08bi8AICMrGTfdeSEMcSc2mZ7ocDKlAoaCPMiVSqlD6Vd68vodVA/W6aefjtdffx3z58/vkkwlJiZi9erVyM3NPaJ6e0pKClasWBG1yRURRTeFTnvCKwoPN/y0Qtx6zyX+LXRqqprw/BNLUbqXb9ooeF6XG50VVRA9XqlDCVtB9WAdj8vlwhdffIGdO3fC7XajsLAQ5513HnS6nhfdiyTswSKKbq5OC8xlB0Jyr4a6Vix+YSVMrb55M4IATJo6ElMvOt1fpJToRCljYxCbm8V9Cw/qyet3ryZY1D0mWETUvr8cbqstJPcyt1vw/pI12H9Y71VmTgquuWkKklMTQtIGRS9tciJ0aalSh9Ev9NkQ4caNG7Fx40bYbIH/kbDb7f7riIiilTYlKWT3MsTpccs9l2DajLGQyXx/1qsPNOLZ//s31q/+AS6XO2RtUfSxNbXA2W6WOoywE1QPlkwmg0wmw88//4yhQ4cGdE1paSkKCwshk8ngdkfnLz17sIgIANpLykK+Wqv6QCPeW/I5mhra/MfijbG44JIzMHx0EWQyDvVQzwkyGQwFeVBo1FKHIqk+68ECcMJF7jgySUTRThPCXqxDMnNSMO9PV+LMs4b59zBsa+3A+6+vwfNPLsXenQfg9fLvL/WM6PWi80AVvKy5FjBFXzfo9fpWJMjlnHxJRNFNZYiFXK2CxxHaGlYqtRKXXTMJZ04chlXLv8HenZUAgJrKJrz2wkokJsdhzLihOO3Mwf2urIPH44XD7oTD4fJ9trvgcrkhkwkHR018n9UaJWINeqg1Sk7A7iMehxOWqlrE5GTy3zwAfZ5gVVRUAADi4uL6umkion5FEARoU5LQWVXbK/dPy0jCzXddjH27q7Bq+deorfJtVdbS1I5PP9qM1f/7DkNPycXQU3IxsCgTxiRDr8RxiMfjQbvJgtYWM0wtHTC1mNFm6oS53QJzuxUd7RZYOm3oyQCHUqlAbJwOsQYdUtOMSMtI9H1kJkGn1/TeNxOlnOYO2BuboU3lbizH06MEq7KystvjdXV1iIk59h5bDocDpaWl+Mtf/gJBEHDSSSf1pGkiooikio+DrKEJXqer19ooGpKFggevxI4fS/Htpp0o2VMFwDeisOOnMuz4qQwAkJAYi4FFGcjOGwBjkgHGxFgkGA1QKI8/4uD1irB22tDeboG5zQJzuwXtpk5/MtXa0oF2U2fIp4e4XG60NpvR2mzGgbL6Ls8lJMaicHAWioZmo3BwJhOuELE2NkOh14Wknlsk69Ek918P6x269ES6Cl999VXcdNNNPb4uEnCSOxEdzt7SCktN/fFPDJGWpnZs+XoXtm7eDXO79ZjnCgIQa9BBpVZCoZBDoZBDrpBDFEU47K4uw3nBzO2SyWT+niidXgONRgm1RgW1WgmlSgFR9CWEXq8Ij8cLu82BDrPV99FuhdVy7MUCggBk5qRi2PA8jBgzCAnG4LYsinYypQJxhfmQKfp8IExSvVYH69Dy32BoNBrcfffdePLJJ4O+V7higkVEhxO9XrTt2Q9vH6+s9ni8qCyvx/69NSjdV40DpfVwu3tnErNOr0FCYiyMiQYkJMb6H8cbY2GI00On1wS1wtHpcKG+thV11c2oq2lGbXULqioajvr9DCzKwMjTB+GUkQXQaFUn3G40U8boEZuXHVXzsXotwXrzzTe7fH3jjTdCEAT8/e9/R0ZGxtEbEQRoNBqkpaVhxIgRxx1OjHRMsIjo12yNzbDWN0oag8vlRlVFAxrqTDC1mNHa0oHWZjPaTR1wuTxwuz3wuL3+xUoqtRJqtRLqg71NsbE6GOL1MMTpYYjXIy5efzCZMkCj6fskxul0oXx/HfbtqsS+3VWor2k54hylUoFRZw7GWeeeyqKsJ0CbmgxdFM3H6rNK7jKZDIIgYPv27QHXwSImWER0JNHjhWlPCcQwWAbvS7CEsKup1dpsxg9b9uKH7/Z2qRMG+IYQh56Sh7Mmj0BeQVpU9coEy5CfEzXzsXry+h3U4On69esBAHl5ecHchogo6glyGTRJRtgamqQO5bhCMV1ECsYkAyZPG41zLzgNVRWN+P7bPfj+2z1wOFwQRWDntnLs3FaOnPwBuODSMzGw6OgjM/SLzsoaxBVF33ys4+FehBJgDxYRdcfr9qBtTwnEg0Nw1PtsVge+3bQTX6/fhvY2S5fnioZm44JLz0BmdopE0YWPaJmP1Wc9WIHYtm0bPvzwQzQ3NyMvLw/XXXcd0tPTe7tZIqKwI1PIoU5MgL3pyLlC1Du0OjXOPm8kJpx7KrZ9vx/rP/seDXWtAOCbu7WrEqeOKsC0GWN7vU5YOHN1WmBvagnpHpvhLqgerOLiYsydOxcKhQKffPIJ4uPjuzz/yiuvYO7cuV3qnsTExGD58uU499xzTzjocMceLCI6Gq/L7evF4uCCJLxeL37Ysg+f/+87mFo7/McVSjnOPm8Uzp46EkoVh8K6JQgwDMyBUqeTOpJe02d7Ea5cuRJbt25FQkLCEclVeXk57r77bni9Xoii6P/o6OjArFmz0NzcHEzTREQRSaZUQG3kajapyGQynHbGYDzwyHW45MoJ0MdqAQBulwdrPt6Cpx59D7t+Lpc4yn5KFNFZWcP9Cg8KKsH68ssvIQgCLrjggiOeW7BgAVwuF7RaLZYvX4729nYsXboUWq0WbW1tWLhwYTBNExFFLG1KYsTPZenvFEo5xp99Kv746PU4a/Jw/8T+1mYzXl+wCkte+hhtpk6Jo+x/vE4XLNV1UofRLwSVYNXU1AAAhg0bdsRzH330EQRBwG233YZLL70UsbGxuOKKK3D77bdDFEV8+umnwTRNRBSxZEol1InsxeoPNFoVLrpiPO596CoMHPTLqsLd2yvw9CPv4btNOzmc+yvOdjPsLSapw5BcUAlWU5NvObHRaOxyvKamBqWlpQCAmTNndnlu6tSpAIC9e/cG0zQRUUTTJidBCNNyCJEoNd2I2+ZdimtvPg+GON8cI7vdiQ/fXY9F//ovWpvNEkfYv1hr6+G2HXv7okgX1G+v0+kEAHR2du0m3bRpEwBAp9NhzJgxXZ5LTU0FAHR0dICIiLrnm4sVL3UYdBhBEDD8tELc99drMHrsEP/x/Xuq8dSj7+GbDdvZm3WQKIrorKyG6InekiNBJVjJyb7y+Id6qw5Zs2YNAOCMM844YoNou92X0cbFxQXTNBFRxNOmsBerP9LpNZh1w7m4+a6LEJ/g2/rN5XRjxfsbsOSlj9FhPvYG2tHC43CisyZ652MF9Zt72mmnQRRFLF682L83VUtLC5YvXw5BELotxXAoGTvUk0VERN2TKRSci9WPDTopB/f99RqccdYv85D37DiAp//+PnZu40pDAHC2tUftfKygEqwbbrgBgG9IcPz48fj973+PsWPHor29HQqFAtdee+0R13zzzTcAgKKiomCaJiKKCtrkRPZi9WMarQqXXzMJN829EDEG39wsS4cNb7y8Ch++ux5Op0viCKUXrfOxgvqtnTFjBq644gqIoohvv/0Wzz77LEpKSgAADzzwALKysrqc7/F4jtm7RUREXckUCmjYi9XvDTk5F/f95WqcdOove/N+t2knnn9iGepro7syf7TOxwr6bdEHH3yA559/HhMmTEBBQQHOOussLF68GH//+9+7PbehoQGiKGLKlCnBNk1EFBU0yUkQfjWflfqfmFgtZt8+DVdcd7a/2ntDXSuef2IZvvsquss5eBxOdFbXSh1Gn+JmzxLgVjlE1FO25hZYaxukDoMC1Fhvwjuvfoa6ml96r4afVojLrz0bGq1KwsikpRuQEtb7FfbZVjlERNQ3NEYj5OrofWEONykDEnDXH2Z2mQD/09YS/OuJf6O2Onq3irPWN8Jpjo4yTUywiIjCgCAToBuQInUY1ANKlQKXXzMJ191yPjQaX3Lc3NiOF+YvQ/E3uyWOTjqdVbXwOJxSh9HrAkqwrNber+nRF20QEYUzVZwBSr1O6jCoh04dVYB5f74SGdm+2pFulwdL31qHZW9/AZfTLXF0fU/0eNBRURXxk94DSrDy8vLwz3/+s1eSoO+++w7Tpk3D008/HfJ7ExFFGl0aawiGo8TkOMy9/3KcMeEk/7EtX+/Ci//8EC1N7RJGJg2Pw4HOqpqInvgfUILV1NSEP/7xj8jNzcVf//rXoPcRtNvt+Pe//42pU6di7NixWL16dVD3IyKKFgqdFuoE7oQRjpRKBS6/9mxc9ZvJUCp9qwxrq5rxryeWYs+OAxJH1/ec5g5Ya+ulDqPXBLSKcMOGDbjnnnvw888/QxAEAMDIkSNx+eWX44wzzsCoUaMQGxt7zHvs3r0bW7Zswbp16/Df//4XnZ2dEEURKpUK8+bNw0MPPYSYmJjQfFf9HFcRElEwPC4X2veWQvRG9hBLJKuvacFbiz5FU0MbAEAQgCkXno5zLzgNMpkgbXB9TJuSFDbzC3vy+h1wmQZRFPHBBx/g//7v/7Br1y7fxQeTLUEQkJ+fj5SUFCQkJCAhIQE2mw2tra0wmUwoLS3tsiG0KIrQaDSYPXs2/vznPyMzM/NEv9ewxASLiIJla2yGtb5R6jAoCDabA/9+Y22XbXWGnpKLq34zBVqdWsLI+p4uPRXapESpwziuXkmwDrd27Vq89tprWLlyJWw22y83E47Mun99+6FDh+L666/Hb3/7WyQlhW8tjGAwwSKiYImiCPP+8qjcgiSSeL0i1q/+Hqv/9y0OvVwmpcThN7dPR2q6Udrg+lhMVjrUCfFSh3FMvZ5gHeJwOPDdd99h06ZN+Oabb1BdXY2mpia0trZCo9EgOTkZycnJOPnkkzFhwgRMmDABOTk5J9pcxGCCRUSh4LbZ0b6/HIjgicLRYu/OA3hvyeewWhwAALVaiatunIJhw/MljqwPCQJiszOgijNIHclR9VmCRSeGCRYRhYq1oQm2hiapw6AQaG02442Fn6DusEKkk6ePxpTpY6JqXlZ/Hi5kJXcioiihTU6CXBNd83UilTHJgDsfuBzDTyv0H1u7qhhvLlwFm80hYWR9y1rbAEtNXdiXcGCCRUQUxgSZgJjMdN8yNAp7KpUS1/x2KqZfNtY/r3nXzxV4cf6H/hWH0cDeYkJHRRW8Ho/UoZwwJlhERGFOodNCmxRdE6IjmSAImDR1JG6+6yL/asLGehNemL8Me3dGT70sV0cnzKUVcB+2mC6cMMEiIooA2tQUKLiNTkQpGpqNux+c5V9NaLM6sPjFj7FhzY9hP3wWKI/dgfaScnRW1cDjckkdTo8wwSIiigCCTEBsdiZkByuEU2RISo7DnQ9cgZNOzQPgK8/x8X++xgdvrIXLFT37GDpM7WjfWwprQ1PYFNhlgkVEFCFkSgVic7K6rUlI4UujUeGG26Zh8vTR/mM/fLcXLz+9AuZ2i4SR9S3R64WtoQmm3SXoqKiCrbkFbpu92968/tDDx7c6REQRRKHTQp+Zjs6qGqlDoRCSyQScd9HpSEtPxAdvroXL6UZVRQOef2IpZs+Zhqyc6NkEXPR44DR3wGnuAAAIcjlkSgVErxeixwvR64U6Ic63+ENC7MEiIoow6oQ4aJL7Zx0hCs4powow9/7LEW/07f/b3mbBgqeW46fifRJHJh3R44HH7oDX6YLo8fSbwrtMsIiIIpBuQApUhlipw6BekJGVjHv+OBO5A9MAAG6XB+8u/hyf/fdbeL39I7kgJlhERBFJEATEZGdCFR8ndSjUC2IMOtw271KMHjvEf2zdp1vx9qufwukIr9V2kYoJFhFRhBJkAmKy0qFJTJA6FOoFCqUcM68/BxddMd6/sGHHj2VY8NRytLV2SBwdMcEiIopggiBAn5EGbUqS1KFQLxAEAWdNHo6b5l4IjUYFAKipasLzTy5DZXm9xNFFt4BWEW7cuLFXGj/rrLN65b5ERNSVbkAKBIUc1rrGfjMJmEJn8LAc3PnAFViy4GO0NpvRYbbi5adXYNbsczFidJHU4UWlgBKsSZMmhbyuiiAIcLujp0gaEZHUtEmJUOp1sFTXwW2zSx0OhVhquhF3/3Em3nrlU5SV1MLt9uC9xZ+jsd6EqReOYX20PhbwEKEoiiH/ICKivqXQamEoyPP1aMk4SyTS6GO0uOWeSzBm3FD/sbWrivHua6vhcrJToy8F1IO1fv36oz7ndDrx0EMPobi4GMnJyZg1axbGjBmD1NRUiKKIxsZGFBcXY+nSpWhsbMSYMWPw2GOPQalUhuybICKiwAmCAG1KElRxBlhq6+Hq6JQ6JAohhUKOK647GykDErBq+dcQRWDb9/vR2mzGb+6YDkOcXuoQo4IgBtGVJIoipk+fjtWrV+Omm27Cc889B72++/84q9WKefPm4bXXXsP555+PTz755ISDDneZmZmoqalBRkYGqqurpQ6HiKKcx+mEo7UNDlMbvFG0v1002PVzOd5b/DkcB0s3xCXE4MY7piMjK1niyHqX2hjfK5Xce/L6HVT/8OLFi/HZZ59h8uTJePXVV4+aXAGATqfDokWLMGXKFKxevRqLFi0KpmkiIgoRuUoF3YAUxA8uRGxuFtTGBCi0GoBzdsLe0FPycMfhld9NnVjw1HLs3FYucWSRL6gE64033oAgCLjjjjsCvmbu3LkQRRFvvvlmME0TEVGICYIAlSEWMZlpiCvMh/GkQTAU5PrLPKiN8VAZYqHQaSFXqyBTKSFTyH1zuZiM9VvpmUm4+48zkZ3n26/Q6XDhzYWr8OXnP3A+dC8KarPnPXv2AACys7MDviYrK6vLtURE1D8JMhmUOh2UOl1A54uiCHhFiKIXolc8uPmuB6LHA6/74GenCx6nE16nC16XC6LX28vfBQFArEGH2383A0vfWoeftpZAFIFVy79BU0MbZlw9EQqFXOoQI05QCZbd7lvmW1VVhREjRgR0TVVVFQDA4XAE0zQREfUzgiAAcgFCgIMjoijC63LDY7PBbbPDbbPDY7PB6/b0cqTRSalS4JrfTkVyajzWrCoGAGz5ehdamttxw60XQKfXSBxhZAlqiLCgoAAAsHDhwoCvOXTuwIEDg2maiIjCnCAIkKuUUMUZoBuQAkNeNhKGDkJ80UDo0wdAZYhlKYkQEwQBUy86HdfcNMXfa1W6twYvzF+GpgaTxNFFlqB+cmfOnAlRFLF69Wrccccd/h6t7jgcDtx555347LPPIAgCrrrqqmCaJiKiCCXXqKFJMiI2NwsJJw2CIT8HmkQjZMqgBl3oMCPGDMJt916KmFgtAKC5sR0vzP8Q+/dyZXuoBFWmwW63Y8SIEdi7dy8EQUBqaipmzZqF0aNHIyUlBYIgoKGhAcXFxVi2bBnq6+shiiIGDx6MH3/8EWq1OpTfS9hgmQYiop4TRRFuixXOdjMcbWaIHg4lBqu12YzXF3yM+tpWAIBMJsNl10zE6eNPkjiy4PSHMg1BJVgAUFdXh+nTp+Onn37y3fAoK0kONTNixAh8/PHHSEtLC6bZsMYEi4goOKLXC2d7B+ytJrgtVqnDCWt2mxPvvrYae3Ye8B87a/JwTL9sLGRhOkTbHxKsoP/l0tLSUFxcjH/9618YMmTIUbfFGTJkCJ5//nls2bIlqpMrIiIKniCTQZ0Qh7iBuYgryocmMYHztU6QRqvCb+6YjvHnnOo/tnHtT3jj5U9gtzsljCy8Bd2D9Wt1dXXYvn07TCYTRFGE0WjEySefzKTqMOzBIiIKPa/bDXtzK+wtJg4fnqDNG3fgow82wnuwfMaAdCNuvONCGJMMEkfWM/2hByvkMwbT0tKYTBERUZ+TKRTQDUiBNjkJ9lYT7E0t8Lq59U9PnHnWMCSnxOOtRZ/CZnWgvrYVz89fhtm3TUNeAV/be4L9qUREFFEEuQza5ETEDy6AbkAKBDmLaPZEweBM3PWHK5CUEgcAsHTY8MqzK1D8zS6JIwsvTLCIiCgiCTIZtClJiB9UAE1y4lEXYdGRklMTcNcfZqJgUCYAwOPxYulbX+B/yzbB42H1/UAwwSIioogmU8ihT0tF3KACqOLCay6RlHR6DW6++yKMnXiy/9imdduw5KWPYbNyN5bjYYJFRERRQa5SIjYnE4b8HMg10VmHsafkcjlmXD0Rl10zyV+yYd+uSrwwfxka6loljq5/Y4J1FJWVlXj55Zdx5ZVXYtCgQdDr9dBoNMjMzMQll1yC999/H25OniQiCjvKGD3iCvOhS09laYcAnXnWMNx6z8X+/QqbGtrwwvxl2PFTmcSR9V8hL9MQCf7617/isccew/H+aU477TT85z//QXZ2do/uzzINRET9g8flgrWmHk5zh9ShhIXWZjPeeHkV6mpa/McmTx+NKdPHQCbrP3Pc+kOZBqbu3aitrYUoitDr9bjuuuvw+uuv46uvvsLWrVvx9ttvY/To0QCArVu3YvLkyejs7JQ4YiIiOhFypRKxuVmIyc6ATMHVhsdjTDLgzgeuwKmjCvzH1q4qxpsLV8Fm47yswzHB6kZiYiLmz5+Puro6vP322/jNb36DcePGYdSoUbjuuuuwefNmzJo1CwBQUlKCZ599VuKIiYgoGOr4OMQVFUCdECd1KP2eSq3EtTefh2kzxvpXZu76uQL/enwpaqqaJI6u/+AQ4QlqaWlBeno6nE4nTjnlFGzbti3gazlESETUfznbzeisrmM1+ADs3VWJd19b7V9VqFDKMeOqiRgzbqikcXGIMIwlJibilFNOAQCUlpZKHA0REYWKKs6A+KKBUMbGSB1KvzdoaDbm/elKZOakAADcLg+Wvf0Flr61Dk6nS+LopMUEKwgOhy9jD9fdxomIqHsypQKGvGzoMwZwpeFxGJMMmPv7y3HmWcP8x4q/2Y0X5n+I+tqWY1wZ2YLai/Ccc87p8TWCIECj0SAuLg6FhYU444wzcN5554VdktLY2Ijdu3cDAAYPHixxNERE1Bs0iUYo9Hp0VlbDY+ck7qNRKOW47JpJyB2Yhg/fXQ+X0436mhb864mluOiK8TjzrGFRV0k/qATryy+/hCAIEEXxiH+4Q1O7AjmempqKp59+GldffXUw4fSpf/7zn/46WIcmvB+Nw+Hw93YBOG75ByIi6j8UGjXiCvJgqamHw9QmdTj92sjTByEjKxnvvPYZ6mtb4XZ5sOL9Ddi3qxIzrz8H+hit1CH2maAmuU+aNAmCIKCurg779u3z3VAQkJ+fj+TkZABAU1MTysrK/ElYYWEhUlNTYTabsW/fPthsNv91TzzxBB544IEQfFu967vvvsP48ePhdruRmZmJvXv3QqfTHfX8v/3tb3jkkUeOOM5J7kRE4cVhaoelpg6il/vxHYvL6caq5V/j6y+3+48Z4vSYdcM5GHRSTq+33x8muQe9inDNmjW46qqrIAgCHn74YVx33XVISEjoco7JZMLbb7+NRx99FKIo4t1338X5558Pt9uNFStW4L777kN1dTXkcjm2bduGoUOlXX1wLA0NDTjttNNQXV0NQRCwdu3a4w6V/roHa8iQIaitrWWCRUQUhjx2BzoOVMPj4JDh8ez6uRxL31oHS6fdf2z02CG46Irx0Op6b7ui/pBgBTXxqbS0FFdccQUEQcDmzZtx1113HZFcAUBCQgLuvvtubN68GYIgYNasWdi3bx8UCgVmzpyJjRs3Ij4+Hl6vFwsWLAi4fbfbDUEQgv544403Amqvo6MD06dP9/+jPv744wHNQ1Or1TAYDP6PaBuHJiKKJHKNGoaCXKgMsVKH0u8NPSUP9/7lahQNzfIfK/5mN5565D3s3l4hXWB9IKgE66mnnkJHRwf++Mc/orCw8LjnFxYW4oEHHkBnZyeeeuop//Hc3FzcdtttEEUR69evDyakXmO323HJJZfg+++/BwDce++9+OMf/yhxVEREJAWZXI6YnEzoUpOlDqXfM8TpcfNdF+OKa8+GWqMEAJjbLVjy0sd4//U1MLdbJI6wdwQ1yf3zzz+HIAiYMGFCwNdMnDgRALB27doux8855xzMnz8fNTU1Ad9LoVD4V/IFIy0t7ZjPu91uzJo1y5/83XzzzXj66aeDbpeIiMKXIAjQpiZDrtWgs6qWhUmPQRAEnD7hJBSdlI0P31mPfbsqAQA/fLcXu7aVY+pFYzB20smQyyNnu6KgEqza2toTvra+vr7L1ykpviJljh6Oafd2iQSv14vrr78eK1euBABceeWVeOWVV3q1TSIiCh8qQyziBuaio6IKHqdT6nD6tQRjLG6+6yJs3bwbKz/8GjarA3a7E/9b9hW++3oXLr3yLBQMypQ6zJAIaogwLs63Z9OmTZsCvmbjxo1drj3EYvF1ESYmJgYTUsjddttt+OCDDwAAF154Id5+++2wq9lFRES969C8LIX+6CvKyUcQBIweOxQPPHIdxowbikPTkhtqW/HKsx/h9QUfo7a6WdogQyCoTGHcuHEQRRFPPvlkQNvF7N+/H08++SQEQcDYsWO7PLdz504AvppY/cW9996L1157DQBw7rnn4sMPP4RSqZQ4KiIi6o9kCgUMeTncMDpAMbFazLz+HNz1h5nIyv3ltX/XzxV49rEP8M6rn6Gx3iRhhMEJKsGaN28eBEGAyWTCGWecgZdeegnt7e1HnNfW1oYXX3wRZ555JkwmEwRBwL333tvlnI8//rjbxEsqf/vb3/Dss88CAMaOHYv//ve/UKt7b0kpERGFP0EmICYrg5PfeyArNxV3PnAFZl5/DuISftn/cdv3+/HUI+/h/dfXoKayScIIT0zQdbD+7//+D3/5y1/8pQdkMhny8vL8c6oaGxtRXl4Or9frr2D+f//3f3jwwQf99ygtLcWgQYPg9Xrx8ccfY9q0acGEFLQXXngBd999NwBfMdB///vfRwxp/tqgQYMC7t3qSR0NIiIKTw5TGzqr6wDu3hEwl8uNbzfuxBefbUVnh63Lc3kF6Rh/zik46dR8yOXH7h/qD3Wwgk6wAOD999/H7373OzQ2Nv5y44MJ1+G3T0lJwXPPPYerrroq2CZ71aRJk7Bhw4YeXVNeXo7c3NyAzmWCRUQUHZwdneg8UM3K7z3kdLjw9Zc/48vPf4DV0nXxW7wxFqPHDsGI0YVITj2y9iYQQQkWADidTqxYsQLr1q3Djh07YDL5xk0TEhJw0kkn4dxzz8WMGTPCYpiNCRYREYWK22qDubySZRxOgNPhwvff7cVXX2zrdj5WZk4Kho8uxKmjChF/2PBiRCVYFDgmWERE0cXjcMBcXgmv0yV1KGFJFEXs212Fr77Yhr07D3Q76pqabkTh4CwUDcnC4DFDkFSYF/I4mGD1c0ywiIiij9flgrmsknsYBqnN1IltW0vwY/G+o05+l8llKBiWjxv/dB1Ss1JC1nZPXr+DKjR6NG63u8sQoULRK80QERGFDZlSCcPAHHSUV8Jtsx//AupWfEIMJk4ZgYlTRqCx3oSftpZg784DqKpo9M/79nq8KN1RBoPRIFmcIct8du/ejQULFmDt2rUoKSnxf5OCIKCwsBBTpkzB7bffjqFDh4aqSSIiorAiUygQm38wybLajn8BHVPKgARMvXAMpl44BjarA/v3VqNkdxX2l9QiPiUBWr1GsthCMkT44IMP4qmnnupSiuGIhgQBMpkM999/Px5//PFgmwxrHCIkIopuoseLjgNVcHVG5kbHUlMb46FMTIRaG9qFdX06RHjXXXdhwYIF/sRqyJAhOP300zFgwACIooiGhgZs2bIFu3btgsfjwfz582GxWPCvf/0r2KaJiIjCkiCXITY3Cx0HquHq6JQ6nIgU6uSqp4JKsL7++mu89NJLEAQBQ4cOxaJFi45aiX3z5s24/fbbsX37drz44ou48sor+03VdiIior4myGSIzclCZ2U1nOYOqcOhEAtqq5xXXnkFAJCXl4evv/76mAnTmWeeiY0bNyI/Px8AsHDhwmCaJiIiCnuCTEBMdiZUhlipQ6EQCyrB2rRpEwRBwB//+MfjbiUDAHFxcfjDH/4AURSxadOmYJomIiKKCIJMQExOJlRx0q14o9ALKsGqr68HAIwYMSLga0aOHAkAaGhoCKZpIiKiiCEIAmKyM6CKZ5IVKYJKsDQa3/JHiyXwVRCdnb7JfOGwZQ4REVFfEQQBMVlMsiJFUAlWXp6vDP3//ve/gK9ZuXIlAPjnYhEREZEPk6zIEVSCNW3aNIiiiBdffBHr1q077vnr1q3DCy+8AEEQMG3atGCaJiIiikj+JItzssJaUAnWvHnzYDAY4HK5cMEFF2Du3Ln4/vvv4fV6/ed4vV58//33uOOOO3DBBRfA5XLBYDBg3rx5wcZOREQUkfxzsphkha2g6mAlJSVh6dKluPjii+F0OrFw4UIsXLgQKpUKRqMRgiCgpaUFTqcTgG83bJVKhWXLliExMTEk3wAREVEkOpRkdVYCznaz1OFQDwXVgwUAU6dOxbfffovTTjsNoihCFEU4HA7U1dWhtrYWDofDf3z06NH47rvvMHny5FDETkREFNHYkxW+QrLZ8/Dhw7FlyxYUFxdj7dq12LFjB1pbWwEARqMRw4YNw+TJkzF69OhQNEdERBQ12JMVnkKSYB0yevRoJlFEREQhxiQr/AQ9REhERES9j8OF4YUJFhERUZhgxffwEdAQYWVlZa80np2d3Sv3JSIiilSH6mRZBAEOU7vU4dBRBJRgHarYHkqCIMDtdof8vkRERJFOEAToM9MBQYCjtU3qcKgbASVYoij2dhxERETUA4IgQJ+RBkEQYG8xSR0O/UpACdbrr7/e23EQERFRDx1KsiCTwd7UInU4dJiAEqzZs2f3dhxERER0gvRpqZDJ5bDWN0odCh3EVYREREQRQJuSBH1mGiAIUodCYIJFREQUMTTGBMRmZ0BgkiU5JlhEREQRRBVnQGxeNgS5XOpQohoTLCIiogijjNEjbmAu5CqV1KFELSZYREREEUiuUcNQkAelXid1KFGJCRYREVGEkinkiM3LgdoYL3UoUYcJFhERUQQTZAJiMtOhTx/AFYZ9iAkWERFRFNAkGRE3MBcylVLqUKICEywiIqIoodBpEVeYD1WcQepQIh4TLCIioigik8sRm5Pp28dQxjSgt/BfloiIKAppEhMQV5QPZWyM1KFEJCZYREREUUquUsGQl42Y7AzIFAFtT0wB4r8mERFRlFPHx0EZGwNbfSPsrW2AKEodUthjDxYRERFBJpdDn5GG+EEDoU6IZ0mHIDHBIiIiIj+5SoWYrHTEFw2EOiGOidYJ4hAhERERHUGuViEmKwO6ASlwmNrhMLXB43BKHVbYYIJFRERERyVTKqFNSYI2JQkuixWO1ja4OjvhdbmlDq1fY4JFREREAVHqdf7No912O1wdFrg6LXBbrBC9Xomj61+YYBEREVGPKTQaKDQaaJMTAQAepxMeu8P34XDA43RBdLnhdbkgRuGqRCZYREREFDS5SgW5SgUYYo94zuv2wOt2Q3S74fV4ILo9vsduN7yurp8jpUQEEywiIiLqVTKFHDKFHID6mOeJXtHX+2V3wG23+z6H6fAjEywiIiLqFwSZAIVWA4VWAzXiAPiSLpfFApe5A05zJ7wul8RRBoYJFhEREfVbgkyAKjYGqtgY6DMAt9UGe3MrHO3mfj2cyASLiIiIwoZCp0VMdga0rhRfotXaBtHjkTqsI7CSOxEREYUduVIJfVoq4gcXQJuSBKGfVZxngkVERERhSyaXQzcgBXFFA6HqZgWjVDhESERERGFPrlYhNjcLzo5OeOwOqcNhgkVERESRQxUbA8TGSB0GhwiJiIiIQo0JFhEREVGIMcEiIiIiCjEmWEREREQhxgSLiIiIKMSYYBERERGFGBMsIiIiohBjgkVEREQUYkywiIiIiEKMCRYRERFRiDHBIiIiIgoxJlhEREREIcYEi4iIiCjEmGARERERhRgTLCIiIqIQE0RRFKUOItqoVCq4XC7IZDKkpaVJHQ4REREFoK6uDl6vF0qlEk6n85jnMsGSgFwuh9frlToMIiIiOgEymQwej+eY5yj6KBY6jEajgd1uh1wuR0pKitThdEsURdTW1iI9PR2CIEgdDkmMPw90OP480CHR9rPQ2NgIj8cDjUZz3HPZg0XdMpvNiIuLQ3t7OwwGg9ThkMT480CH488DHcKfhaPjJHciIiKiEGOCRURERBRiTLCoW2q1Gg8//DDUarXUoVA/wJ8HOhx/HugQ/iwcHedgEREREYUYe7CIiIiIQowJFhEREVGIMcEiIiIiCjEmWEREREQhxgQrypnNZnzwwQe47777MHHiRBQUFCAuLg4qlQopKSmYNGkS/vGPf6ClpUXqUEliDzzwAARB8H98+eWXUodEfeDw//NjfUyaNEnqUKmPNTc34x//+AfGjRuHAQMGQK1WIz09Haeffjruv/9+bN68WeoQJcVVhFFu7dq1mDJlynHPS0pKwjvvvIPzzjuvD6Ki/mbbtm047bTT4Ha7/cfWr1/PF9UoEOj2JxMnTmTSHUWWLVuGOXPmHPPN9yWXXIKPPvqo74LqZ7gXISErKwtnn302Ro0ahaysLKSlpcHr9aK6uhoffvghli9fjubmZlx88cUoLi7GKaecInXI1Ie8Xi9uueUWuN1upKSkoLGxUeqQSAJz5szBHXfccdTn9Xp9H0ZDUnrrrbdw4403wuv1IiUlBXPmzMH48eNhNBpRX1+P0tJSrFy5EkqlUupQJcUEK8qdffbZqKysPOrzs2bNwkcffYQZM2bA6XTikUcewX/+858+jJCk9vzzz6O4uBiDBw/GjBkz8MQTT0gdEkkgJSUFw4YNkzoMktju3btx6623wuv1YsKECVi5ciXi4uKOOO+uu+6C0+mUIML+g3OwopxcLj/uOZdeeikGDx4MANi4cWNvh0T9SFVVFf7yl78AAF5++WWoVCqJIyIiKd11111wOBxISkrC8uXLu02uDon2vxdMsCggh7r/7Xa7xJFQX7rjjjvQ2dmJ2bNnc74VUZTbs2cP1q1bBwC48847kZSUJHFE/RsTLDqu3bt346effgIAf08WRb6lS5fi448/htFoxD//+U+pwyEiiS1btsz/eObMmf7HJpMJJSUlXG3+K0ywqFtWqxUlJSV45plncPbZZ8Pj8QAA7rnnHokjo77Q1tbm/7+eP38+kpOTJY6IpLZs2TIMGjQIWq0WsbGxKCwsxOzZs7F+/XqpQ6M+8u233wIA4uLiMGTIELz77rs49dRTYTQaUVRUhKSkJOTn5+ORRx5BZ2enxNH2AyLRQa+//roI4Kgfv//970Wv1yt1mNQHbrnlFhGAOHbs2C7/5w8//LD/52H9+vXSBUh95lh/Ew59XHrppWJbW5vUoVIvy83NFQGIp556qjh37txj/kwMGzZMrKmpkTpkSbEHi45r+PDh+Pbbb/HPf/4z4Jo4FL6++uorvPbaa1AoFFi4cCH/z6OcTqfDVVddhVdffRWbNm3Cjz/+iM8//xx//vOfkZiYCAD46KOPcMkll8DlckkcLfWm1tZWAL65WC+99BLi4+OxcOFCNDY2wm63o7i4GBdccAEAYMeOHZg5cya8Xq+UIUtL6gyP+g+TySRu375d3L59u7hlyxbx/fffF2fMmCECEAcOHCiuXLlS6hCplzkcDnHIkCEiAPH+++8/4nn2YEUfk8l01Ofq6+vFESNG+H8m/vWvf/VdYNTn5HK5//9aLpeLmzdvPuIcj8cjXnDBBf7zli1bJkGk/QN7sMgvPj4ew4YNw7BhwzB69GhcddVVWL58Od566y2UlZXhkksuwRtvvCF1mNSLHn/8cezevRvZ2dl4+OGHpQ6H+oH4+PijPpeamooPP/zQvxz/hRde6KOoSAoajcb/eObMmTjjjDOOOEcmk3VZFPP+++/3SWz9ERMsOq7rr7/e39V75513wmQySR0S9YI9e/b4i4i+8MILrMxNAcnPz/dvt7V//37U1tZKHBH1ltjYWP/jQ0OB3TnppJOQkZEBACguLu71uPorVnKngFxyySVYunQpLBYLPv30U1xzzTVSh0Qh9uyzz8LpdCI/Px9WqxUffPDBEefs2LHD//iLL75AfX09AOCiiy5iQhbFhg4dilWrVgEAampqkJ6eLnFE1BuysrL8v/OZmZnHPbempiaqt9ZigkUBOXyZ/oEDBySMhHqLw+EAAJSVleHqq68+7vl///vf/Y/Ly8uZYEUxURSlDoH6wEknneTvkTpUuudoDj2vUERvmsEhQgpITU2N/3FMTIyEkRBRf7Nr1y7/Y/ZeRa6zzjrL/7i0tPSY55aVlQGAf6gwGjHBooAcXsH35JNPljAS6i1vvPEGRFE85sfhE9/Xr1/vP56bmytd4CSpsrIyrFmzBoBvPlY0v6BGuosvvhhKpRIAsHz58qOet2HDBn9V9wkTJvRJbP0RE6wo98Ybbxx3f8Fnn30Wn3zyCQAgNzcX48eP74vQiEhiK1euhNvtPurzDQ0NuOKKK/z1r+bOndtXoZEEEhMTcfPNNwMA1qxZ0+08zY6ODsybN8//9W233dZX4fU7gsjB86iWm5uLjo4OXH755Rg/fjwGDhyImJgYdHR0YPv27Xj33Xfx9ddfA/DtjL5q1SpMnjxZ4qhJKn/729/wyCOPAPD1YHED6MiWm5sLl8uFyy+/HGeeeSZyc3Oh1WrR3NyML7/8EgsXLvT3VIwfPx5r166FWq2WOGrqTU1NTTjttNNQWVkJhUKB22+/HZdddhkMBgO2b9+O+fPnY8+ePQCAOXPmYMGCBRJHLB0mWFEuNzc3oEnrmZmZWLJkiX85NkUnJljRJdC/D5dffjlee+21Y9bMosixe/duXHzxxdi/f/9Rz7npppuwcOFC/5BiNIre6f0EAFi3bh3Wrl2L9evXY/fu3WhoaEBLSws0Gg1SU1MxfPhwXHjhhZg1axZ0Op3U4RJRH3rzzTexYcMGbN68GWVlZWhubobZbEZMTAyysrIwduxYzJ49G2eeeabUoVIfGjJkCH766Se8/PLL+PDDD1FSUoLOzk6kpKRg3LhxuO2223D22WdLHabk2INFREREFGKc5E5EREQUYkywiIiIiEKMCRYRERFRiDHBIiIiIgoxJlhEREREIcYEi4iIiCjEmGARERERhRgTLCIiIqIQY4JFREREFGJMsIiIiIhCjAkWERERUYgxwSKiiPPGG29AEAQIgoCKigqpwyGiKMQEi4ioH5o7d64/SXzvvfcCumb//v3Q6XQQBAEjRoyA2+3u5SiJ6GiYYBER9UNPPvkksrOzAQD33HMPmpqajnm+KIq49dZbYbPZoFAosHjxYigUir4IlYi6wQSLiKgfio2NxSuvvAIAaG5uxt13333M81977TWsX78eAPD73/8eI0eO7PUYiejomGAREfVT559/Pm644QYAwAcffICVK1d2e15tbS3uv/9+AMCgQYPw8MMP91mMRNQ9JlhERP3Ys88+i9TUVADAnDlzYDabjzhn7ty5aG9vhyAIeO2116DRaPo6TCL6FSZYRBS1mpqa8NBDD2HEiBGIj4+HRqNBbm4urr/+enz11VcB3WPTpk247LLLkJqaCo1Gg/z8fNx+++3Yv38/AGDSpEkQBAGTJk06oRiNRiNefPFFAEBNTY2/p+qQZcuW4aOPPgLgS7TGjx9/Qu0QUYiJREQR5vXXXxcBiADE8vLybs9ZvXq1aDAY/Od19zF37lzR4/EctZ3HHntMFASh22tjY2PF1atXixMnThQBiBMnTgzqe5oxY4YIQBQEQVy/fr0oiqLY2toqpqamigDEnJwcsaOjI6g2iCh02INFRFHnp59+wkUXXQSz2QylUol58+Zh/fr12LJlC1555RXk5eUBAF566SU8+OCD3d7j/fffx0MPPQRRFJGQkIAnn3wS33zzDb755hvMnz8fCoUCV111Ferq6kIS84IFC5CQkABRFHHzzTfDZrPhd7/7HRoaGgAAr7zyCmJiYkLSFhGFgNQZHhFRqB2vB2v06NEiAFEul4urV68+4vnW1lZx6NChIgBRJpOJO3bs6PK83W4XU1JSRACi0WgU9+7de8Q99u7dKxqNRn8cwfZgiaIoLlmyxH+/c8891/949uzZQd+biEKLPVhEFFW2bNmC4uJiAMDNN9+MqVOnHnFOQkICFi1aBADwer1YsGBBl+dXrFiBxsZGAMDDDz+MoqKiI+5RVFQU8tV8N954oz/edevWAQAGDBiAZ599NqTtEFHwmGARUVRZu3at//Fvf/vbo543btw4DBky5IhrgF+SG5lMhuuvv/6o97juuusgCEIw4R5h0aJFXYYCX3zxRSQkJIS0DSIKHhMsIooqO3bsAACoVCqMGDHimOeefvrpAICSkhI4nc4j7pGXl3fM5MZoNCI/Pz/YkLvIycnBqFGj/F9ffvnlIb0/EYUGEywiiiqtra0AfMnP8baSGTBgAADfNjQmk8l//NDjlJSU47aXnJx8oqESURhjgkVEUSmQoTtRFPsgEiKKREywiCiqGI1GAEBLSwvcbvcxzz1UAkEQhC5DgYceH5rofizH26SZiCITEywiiirDhg0DADidTvz444/HPHfLli0AgMLCQqhUKv/xk046CQBQXl7uH3LsTmtrK8rKyoINmYjCEBMsIooqkydP9j9evHjxUc/bvHkzdu3adcQ1AHDuuecC8JVweOedd456j3feeYfDjERRigkWEUWVMWPGYPTo0QCA1157DWvWrDninPb2dtx2220AfKUY5syZ0+X5GTNm+Ce4P/LIIygpKTniHiUlJXjkkUdCHT4RhQkmWEQUdRYtWgSVSgWPx4Pp06fjvvvuw5dffomtW7fi1VdfxciRI7F9+3YAwO9//3v/sOIhGo0Gzz33HADfMODpp5+Of/zjH/j222/x7bff4h//+AfOOOMMeL1eFBYWAghsUj0RRY5jr1EmIopAw4cPx8qVKzFz5kyYzWY888wzeOaZZ444b+7cuXjiiSe6vcfVV1+NsrIy/OUvf4HJZMIf/vCHLs/rdDosW7YMTz75JEpKSqDRaHrleyGi/ok9WEQUlaZOnYr9+/fjT3/6E4YPHw6DwQC1Wo3s7Gxce+212LRpE1588UXIZEf/M/nnP/8ZGzZswKWXXoqUlBSo1Wrk5OTgpptuwtatWzFt2jSYzWYAQFxcXF99a0TUDwgiZ2ASEfUKl8uFuLg42Gw2PPTQQ/j73/8udUhE1EfYg0VE1Es++ugj2Gw2AMAZZ5whcTRE1JfYg0VEdIL279+PgoKCbp+rqKjAhAkTUF1djdTUVFRXVx93ax4iihz8bSciOkGDBw/GtGnTcOGFF+Kkk06CXq9HY2Mj1q9fj4ULF6KtrQ0A8NRTTzG5Iooy7MEiIjpBxyu9IJPJ8Nhjj+HBBx/so4iIqL/gWyoiohO0cuVKfPrpp/jmm2/Q0NCAlpYWqNVqZGRkYNKkSZg7d+4RNbSIKDqwB4uIiIgoxLiKkIiIiCjEmGARERERhRgTLCIiIqIQY4JFREREFGJMsIiIiIhCjAkWERERUYgxwSIiIiIKMSZYRERERCH2/4jl3zMk63gWAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pp.y_scale = 'standardized'\n", "pp.y_tick_scale = 'standardized'\n", "pp.update()\n", "pp.plot();" ] }, { "cell_type": "markdown", "id": "06aba61b", "metadata": {}, "source": [ "### Marginalizing" ] }, { "cell_type": "markdown", "id": "20d851f1", "metadata": {}, "source": [ "The UncertainParameterArray allows marginalization with uncertainty propagation:" ] }, { "cell_type": "code", "execution_count": 11, "id": "821f77df", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:04:33.444880Z", "iopub.status.busy": "2021-11-26T22:04:33.443252Z", "iopub.status.idle": "2021-11-26T22:04:37.187559Z", "shell.execute_reply": "2021-11-26T22:04:37.188493Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gp.prepare_grid(at=gp.parray(lg10_Z=8))\n", "gp.predict_grid();\n", "\n", "x_pa = gp.grid_vectors['Y'].squeeze()\n", "y_upa = gp.predictions.mean(axis=gp.prediction_dims.index('X'))\n", "\n", "ax = gmb.ParrayPlotter(x_pa.z, y_upa).plot()" ] }, { "cell_type": "markdown", "id": "8e6b382d", "metadata": { "lines_to_next_cell": 2 }, "source": [ "## Higher-dimensional predictions and slicing" ] }, { "cell_type": "markdown", "id": "6e74f11b", "metadata": {}, "source": [ "In most cases you'll want to simply predict over a lower-dimensional set of points if that's your goal, but sometimes you may wish to make a high-dimensional prediction and view lower-dimensional slices. The `get_conditional_prediction` method performs interpolation on the higher-dimensional prediction, returning a *ParameterArray* containing the lower-dimensional domain and an *UncertainParameterArray* containing the predictions at those points.\n", "\n", "To demonstrate, first make predictions across a large grid:" ] }, { "cell_type": "code", "execution_count": 12, "id": "1f29be8e", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:04:37.197324Z", "iopub.status.busy": "2021-11-26T22:04:37.196538Z", "iopub.status.idle": "2021-11-26T22:05:45.880423Z", "shell.execute_reply": "2021-11-26T22:05:45.876746Z" } }, "outputs": [], "source": [ "gp.prepare_grid(resolution={'Y':100, 'X':100, 'lg10_Z': 21})\n", "\n", "gp.predict_grid();" ] }, { "cell_type": "markdown", "id": "3afb8082", "metadata": {}, "source": [ "In addition to the `.plot` method shown above, a *ParrayPlotter* can be called on any function, typically a matplotlib function, to pass appropriately-formatted ndarrays as positional arguments along with any additional keyword arguments. This allows you to quickly iterate on different visualizations with minimal repetition.\n", "\n", "Now plot a 2D slice of the predictions, specifically the predictions across `X` and `Y` at a `Z` of 10^8:" ] }, { "cell_type": "code", "execution_count": 13, "id": "a4fbc473", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:05:45.954918Z", "iopub.status.busy": "2021-11-26T22:05:45.954135Z", "iopub.status.idle": "2021-11-26T22:05:47.224095Z", "shell.execute_reply": "2021-11-26T22:05:47.192002Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xy_pa, z_upa = gp.get_conditional_prediction(lg10_Z=8)\n", "x_pa, y_pa = xy_pa.as_list()\n", "\n", "pp = gmb.ParrayPlotter(x_pa.z, y_pa.z, z_upa)\n", "\n", "# Make a filled contour plot by calling ParrayPlotter on the matplotlib function and passing kwargs\n", "cs = pp(plt.contourf, cmap='pink', levels=20)\n", "\n", "# Add an appropriately scaled and labeled colorbar\n", "cbar = pp.colorbar(cs);\n", "\n", "# Add a few contour outlines\n", "cl = pp(plt.contour, colors='k', levels=10)\n", "ax.clabel(cl, inline=True, fontsize=10);" ] }, { "cell_type": "markdown", "id": "0862a6da", "metadata": {}, "source": [ "Or 1D slices:" ] }, { "cell_type": "code", "execution_count": 14, "id": "98858393", "metadata": { "execution": { "iopub.execute_input": "2021-11-26T22:05:47.261882Z", "iopub.status.busy": "2021-11-26T22:05:47.259559Z", "iopub.status.idle": "2021-11-26T22:05:47.911878Z", "shell.execute_reply": "2021-11-26T22:05:47.911380Z" } }, "outputs": [ { "data": { "image/png": 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4RERERDTmfF09CLk9yQ6DiIgoOU4m8Z1M4hMR0cCYwCciIiKipPC0tCPi9yc7DCIiouRQFHha2hFiEp+IiAbABD4RERERJYUiSXA1NCPkcif2PIoCKRhCxO9H2OtDyO1B2O1BJBCAHJESem4iIqIBKQrcTOITEdEA1MkOgIiIiIgmLkWW4W5ug6m4APqc7LiMKQWCCHu8iPj9iPiDkIJBQFHOebwgCFDpdVAbDSe+jFDptHGJhYiIaFAnkviZ5YDWYk52NERElGKYwCciIiKi5FIUeNu7IAVDMBTkQVSphvdyWUbY40XY7UHI7YEcCg/z9Aoi/gAi/gDQZwcAqLRaaCyZ0GZmQG0yQhCEYY1JREQ0LCeT+BUCtObMZEdDREQphAl8IiIiIkoJgd5+BPsd0GVZoc/NHnAVvBQKIeLxIeRyI+zxQpHluMYihUKQbH0I2PogqlXQWi3QZVmhNujjeh4iIqIYRYG7uQ2ZFaVM4hMRUQwT+ERERESUMhRZRqCvH4G+fmgyTBA1agiiCEEUoQCQTqyUV6Sxq10vRyQEevsR6O2HSq+HPscKndUKQcV2UkREFGdM4hMR0ecwgU9EREREKSns8SY7hDNIgQC87V3wddmgy7ZCn5MFlZb18omIKI4UBZ7mNmQwiU9ERAC4bIiIiIiIaJgUSULA1gfHkQa4W9ohBYLJDomIiMYR5UQSP+T2JDsUIiJKMibwiYiIiIhGSlEQcjjhONoAd0sbIkzkExFRnCiKAk9TK5P4REQTHBP4RGlIliRE/H4oUnwb9hEREdHIhRwuOI82wNPaATkcTnY4REQ0DjCJT0RErIFPlCYUWUbI5UbI4ULY7YGiKAAAUaOGSqeDPicLWos5yVESERFR0O5AyOmCPi8HhrwcCCLXzBAR0cidTOJnVJZBm5mR7HCIiGiMMYFPlAbCHi88LW2QI9IZz8nhCORwBGGPF5rMDJiKC6HSsZkeERFRMimyDH+3DcF+O4zFhdDxJjsREY3CyZr45uoKqI2GZIdDRERjiMuBiFJcoLcfrsaWsybvPy/s9sB5tAH+nt4xiIyIiIgGI4cj8DS3wdXYAikYSnY4RESUxhRZhrulDbI0+LUhERGNH0zgE6UoRZbhae2At6MLOFEuZ0ivUxT4unrgaeuMldkhIiKi5Aq7PXAeOw5/Ty/nZyIiGjE5FIa3tSPZYRAR0RhiAp8oBSmKAndzG4J2x4jHCPbb4WUSn4iIKGUosgxfVw+cxxoR8fmTHQ4REaWpkMsNv60v2WEQEdEYYQKfKAV52zsRdntGPU7Q7oCntYNJfCIiohQiBQJwNjTB29EFRZaTHQ4REaUhX1cPwl5fssMgIqIxwAQ+UYrx9/Qi2O+I23ghh5NJfCIiolSjKAj09sNxtAEhlzvZ0RARUbpRFHha2iBHIsmOhIiIEiytE/g9PT14/fXX8cgjj+DKK69Ebm4uBEGAIAi49957E3LOVatWYeXKlSgqKoJer0dlZSXuvvtubN++fchj9PX14Yc//CFmz54Ni8UCs9mM2bNn44c//CH6+rgNbiIL2p3wdfXEfdyQwwl/ty3u4xIREdHoyKEw3E2tcDe3QQ6Hkx0OERGlETkc4WItIqIJQJ3sAEajoKBgzM4VCARw66234vXXXz/t8ebmZjQ3N+O5557Dj370I/zgBz8YcJydO3fi+uuvR2dn52mP79u3D/v27cMTTzyBV199FfPnz4/7z0CpLezxwtOWuGZE/p5eqHRa6LKsCTsHERERjUzI6ULY44UhLwf63GwIYlqvsyEiojESdnsQsPXBkJ+b7FCIiChBxs2VQVlZGVasWJGw8b/yla/EkvfLli3DmjVrsGPHDvz5z39GTU0NZFnGI488gieeeOKcY7S3t+Paa69FZ2cn1Go1Hn74YWzatAmbNm3Cww8/DLVajY6ODlxzzTVob29P2M9CwyNHpISvaJCCIbib24AEn8fT1omwx5vQcxAREdHIKJIEX1cPHEcaELQ7uaKSiIiGxNdt43UeEdE4ltYr8B955BEsWLAACxYsQEFBAZqamlBVVRX382zcuBHPPfccAODaa6/FK6+8ApVKBQBYsGABrrvuOpx33nloaWnBww8/jFtuuQVWq/WMcf793/8d3d3dAIDnnnsOt956a+y5JUuWYP78+bjtttvQ3d2NH/zgB3jyySfj/rPQ0ER8foRcboRcbkiBIARBgKjTQqXVQpNhgi7bGreVcYokw93cCkWS4jLewCdT4G5ug6W2CiqdNvHnIyIiomGTw2F4WtuhsvXBkJsNrdXMFflERHRuigJPazsstdUQNWmd5iEiorNI6yuBH//4x7jmmmsSXkrnF7/4BQBApVLh97//fSx5f1Jubi5+/vOfAwDsdjv+/Oc/nzFGd3c3nn32WQDAypUrT0ven3Trrbdi5cqVAIBnnnkmluynsSNHInA2NMFZ3wh/Ty+kQBAAoCgKpEAQIZcb3o4uOI7UI9DbD0WWR3U+5cQHrZPnGQuKJMHd1Ap5LG4YEBER0YhJgQA8bR2wHzoGX2c3pGAo2SEREVGKitbDb+fuLSKicSitE/hjwePx4N133wUALF++HKWlpWc97qabboLZbAYAvPzyy2c8v3btWkgnEqb33XffOc93svmuJElYu3btaEKnYYr4A3DWNyLi9Q16rByOxBL5QbtzxOf0d9sQcrlH/PqRkoJBeFr44Y6IiCgdKJIEv60PjiP1sB8+Bk9bB4IOF6RQmHM5ERHFhD1e+LttyQ6DiIjijHurBrFjxw4Eg9HV0Zdccsk5j9NqtbjggguwYcMG7NixA+FwGBqNJvb85s2bY98PNM6pz23ZsgVf+9rXRhM+DVHQ4YK3rWPYK+pPrnIIOV0wlRRCPOXvfCCKosDX1YOArW8k4cZF2O2Br6sHpqKxawZNREREoyOHwgj2OxDsd0QfEASIGjVUWi0EtQqCKEa/VCoIKhGiSgVBpYoeo9OxFA8R0Tjn7+mF2mSENjMj2aEQEVGcMIE/iEOHDsW+nzJlyoDHTpkyBRs2bEAkEsGxY8cwbdq0M8axWCwoLCw85xhFRUUwm81wuVynnZsSJ+hwwtMyuqbBIZcbYa8PxqJ86LKsEAThnMcqkhxN+idh5f3nBWx9UOt10GVZkx0KERERjYSiQA6FIYfCgx8rCFDrdVAZ9NBmZkBjzhzwMwsREaUnb2s71JOqh7zAjIiIUhuX4AyitbU19v25yuecVFZWdtbXnfrnwcY4dZzPj0HxJwWC8LZ1xmUsRZLgbeuE82gDAv12KPKZW9qlcBjOhqaUSN6f5G3rRNjjTXYYRERElGiKgog/gGC/A+7mNjiO1MNv62NfHCKicUaOSHCzZCoR0bjBFfiDcLs/S7RmZAy8Bc1kMsW+93g8Zx1nsDFOHefzY5wqGAzGSvsA4MQ8Aoosw93SNupGtJ8nBUPwtnXC322DLjsLUBRIoTDkcBhSIAglxS6SFUWBu6kV5uoKqI2GZIdDRDSucL6mVCaHwvB1dsPfbYOxqAD6nKxkh0RElDTjbc6OeH3wd/XAyJKpRERpjyvwBxEIBGLfa7XaAY/V6XSx7/1+/1nHGWyMU8f5/Bin+ulPfwqLxRL76ujoGHRcOp23vRNSIDj4gSMkhyPwd9vg7+lFyOFExOtLueT9SYosw9XYgkgCfx9ERBMR52tKB4osw9veCXdLG1fjE9GENR7nbL+tL6V2fxMR0cgwgT8IvV4f+z4UCg147Kl36w2G01cynxxnsDFOHefzY5zqe9/7HpxOZ+yruLh40HHpM4E+O4J2Z7LDSCmKJMHd2AwpOPi/USIiGhrO15ROQg4XXPWNiPgDgx9MRDTOjNc529PaAWkofVKIiChlsYTOIDIzM2PfD1TSBgC83s/qiH++VE5mZiZ8Pt+gY5w6zkDldnQ63Wkr/tmAbOikcHS7OJ1JDkfgamxGZkUZ1Ab94C8gIqIBcb6mdCMFQ3A1NLG0HhFNOON1zlYkCZ6WNpirKyGI4+NnIiKaaLgCfxCnNp1ta2sb8NhTm86e2tD21HEGG+PUcT4/BsWHr7Mn7nXvxxM5FIarvhGBfkeyQyEiIqIkOFlaTwqytB4R0XgQ8fnh6+IiNiKidMUE/iCmTZsW+/7w4cMDHnvyebVajdra2rOO43Q60dXVdc4xOjs74XK5AABTp04dUcx0bmGfDyEHS+cMRlEUeNs64Gnt4M0OIiKiCUiRJLgaWyCHWXaBiGg8CPT2I+R0JTsMIiIaASbwB7FgwYJY49mNGzee87hQKITt27ef8ZqTFi9eHPt+oHFOfW7RokUjipnOTlEU+Dq46mA4gnYHnMeOI9BnZyKfiIhogpFD4WgSn41tiYjGBU9bJ3ueERGlISbwB5GZmYnLLrsMAPDOO++cswTOyy+/HFs5f+ONN57x/HXXXQdRjP66n3rqqXOe7+mnnwYAiKKI6667bjSh0+eEHC5EfP5kh5F2pGAI3vZO2A8dg6+zm9vpiYiIJhApEISnpT3ZYRARURycrIfPxVlEROllwifwn376aQiCAEEQ8KMf/eisx/zLv/wLACASieCBBx6A9LlVSL29vfi3f/s3AIDVasVXv/rVM8YoLCzEXXfdBQBYv349XnrppTOOefHFF7F+/XoAwN13343CwsIR/1x0OkWWWfNvlBRJgt/WB8eRBvQfOAJXYwt83TaE3B7IEa7MIyIaS5GIhP/9zu/w4cb98Pt4Y5USK+z2INBnT3YYREQUBxF/AL5OXhsTEaUTdbIDGI0tW7agvr4+9ufe3t7Y9/X19bHV7Cfde++9IzrPpZdeijvuuAOrVq3C2rVrsXz5cjz00EMoLi7G/v378Z//+Z9oaWkBAPzsZz9DVlbWWcf5z//8T6xbtw42mw133nknPv74Y1xzzTUAgNdffx3/8z//AwDIy8vDT37ykxHFSmfnt/VBDkeSHca4oUgSwm4Pwm5P7DGVVguV0QCtJRPazEwIopDECImIxrf9H36K/dsOYP82YO2LmzFjTjUWXDQNtZNLIfL9lxLA19kNTYYJKp128IOJiCilBfrsUJuM0FktyQ6FiIiGIK0T+E888QT+8pe/nPW5rVu3YuvWrac9NtIEPgA8+eSTcLlcePPNN/H+++/j/fffP+15URTxgx/8APfff/85xygrK8Nrr72GG264AV1dXfj5z3+On//856cdU1hYiDVr1qC0tHTEsdLpZElCoLc/2WGMe1IoBCkUQsjhhKBSQZdlgS7bCrVen+zQiIjGncO7j8W+j4Ql7Nl5DHt2HoPFasLs+ZMwZ8EklJbnQxCYzKf4UGQZnrYOmKsr+O+KiGgc8LZ1Qq3XQ6XXJTsUIiIaRFon8MeSwWDAG2+8geeeew5PP/009u7dC4fDgYKCAixZsgQPPvggLrzwwkHHOf/887F//378+te/xpo1a9DU1AQAqKqqwvXXX4+HHnoIOTk5Cf5pJpZgnx0Km6+NKeXETZNAbz/0udkwFuZDECd8xS4iori5859uwaIrz8c7z7yJXR8dgc8bAAA4HV5semcPNr2zB7l5FsycV4MZc6pRWlHAlfk0ahGvDwFbHwz5uckOhYiIRkmRZbhb2mCpreK1GhFRihMURVGSHQSNXmlpKdrb21FSUnLORrsTkSLLcByuhxxh+ZxkUum0MJUWQ2MyJjsUIhohzjPxEe/fY//+QwiHIji4vxEfbzuMowdbIElnNqYzW4yYNqsKk6dXoHZKKfR6lkGhkREEAeZJVdxhR5TCOGfHRzx/j57WDgTtjvgEFme6LAsyykqSHQYR0YQznHmGK/BpXAvaHUzepwApGIKroQmG/FwYC/OTHQ4R0bii1qgwa14tZs2rhc8bwP7dDdiz8xgajrbj5DoNl9OH7ZsPYPvmAxBFEZU1haibWo7qumKUVRRArVEl+aegdKEoCnwd3TBXVyQ7FCIiioOg3Qm1yQR9tjXZoRAR0TkwgU/jlqIo8Nv6kh0GncLf0wtFkmEsLmD9XCKiBDCa9Dh/8XScv3g6PC4fDu5vwoG9x3H0UCsi4Wg5OVmWcfxYB44f6wAAqNUqlFcVoKq2GGWVBSirzIfZYkrmj0EpLuzxIuRyQ2vOTHYoREQUB76OLqgNeqgN3F1FRJSKmMCncSvkcEIOhZMdBn1OoK8fiiLDVFLEJD4RUQJlmI1YuGgaFi6ahlAwjPojbThyoAVHD7ag1+aMHReJSKcl9AHAmpWB4rI8FJXmoKg4B0WlucjJM0Ol4kp9ivJ19kCTmcG5nIhoHFBkGZ6WNphrqyByriciSjlM4NO4pCgK/D1cfZ+qgv0OKLKCjLJiXvgTEY0BrU6DabOqMG1WFQCgz+ZEw9H2E4n7dtj73Kcd77B74LB7cHBfY+wxURSRk2dGXoEVuflW5ORakJ1rRnauGVk5mdBo+LFyIpGCQQT77dDnZCc7FCIiigMpGIK3rROZFaXJDoWIiD6HV1o0LoVdbkjBYLLDGJDPG0BHay96uu2wdTvQ2+NAOBSBIAoQRQGiKMJiNSEnz4rcfAty8y3IL8yGSiUmO/S4CDmc8IoCMkqLkx0KEdGEk5NnQU6eBQsXTQMAOPrdaGnqRmtTD1qbutHW3INg8PRdbLIsw9btgK3bcdYxTZkGWLMyYM3KhMVqgiXLBLM1I/q9NQNmiwk6vYY3bscRf7cNWquFqzWJiMaJkNOFQG8/9Lm8OUtElEqYwKdxKdBnT3YIZ+X3B3FgbyP27jyGo4daIcvysF6v02tQUV2IyppiVNcWoaKmCGp1+l40B/sdUOl0MOTlJDsUIqIJzZqdCWt2JmbNqwUAyLICR78bHW296GzvQ3dHH3q6HejtdiAcPntzeK/bD6/bj/YW2znPo9VpYLYYown9E4l9S5YJ1qxMZGVnwpqdAaNJzyR/mpAjEvw9vTAVFSQ7FCIiihNvZzfURgPURkOyQyEiohOYwKdxJxIIIOzxJjuM0zj63djw+g7s3nEUkYg04nGCgTCOHmzF0YOtAKIJ/bqp5ZgyowJTZlSkZdNBX2c3VDotG+EREaUQURRi5XFmzKmOPS7LCpwOD/p6nOjrdaK/14X+Xhfs/W447B64HF4oinLOcUPBMHp7nOjtcZ7zGJ1eg+xcC3JOnD+vwIr8wizkFWQhI9PA5H6KCfb2Q5+TDZVWk+xQiIgoHhQF7pY2WGqrIabxYjEiovGECXwadwK9qbP63u8P4v11n2Dze3sRCZ+euLdmZWDarCoUluQgr8CKvAIrjEY9ZFmGrCiQwhLsdjf6epzotTnR2daHpoYOuJy+2BjBQBj7dzdg/+4GCAJQXlWIGXOqMWNuDXLzLGP9446Yp6Ud5ppKqA36ZIdCREQDEEUBWdnR1fK1OLNGriTJcDu9cDg8cNm9cDq8cDo8cLt8cDm8cDmjfw4Gzt1kPhgIo7OtF51tvWc8ZzDqUFicg6KSHBSV5qC4NBdFpbmsv59EiqIgYOuFqaQo2aEQEVGcyKEwvG0dyKgo5Y1zIqIUwKsdGldkSULIce5VfWNp10dHsPbFzfB6ArHHDEYd5i2sw5wFdSivKoQoDvBhyABkmI0oq/hsW7qiKLD3uXG8vgNHD7bgyIFm+LzBE88Bzce70Hy8C2+8/CEKS3Kiyfw51SguzU3pD16KLMPd1ArLpCqIar4tERGlK5VKjJXjGUggEILL4YXD7oHT7oHD7oaj3wN7vxv2Xhf6+9xnLTPn9wXRWN+BxvqO2GOiKKKoNAdlFfkorypEVW0RcvIsKT3vjTfBfgcM+bkQNVyFT0Q0XoRcbgRsfTDk5yY7FCKiCY+ZMhpXgv0OKMOsKx9v4XAEr67ehI+2HIw9plKLWLR0Fi67cj6MppGvMheEz0oazL9gCmRZRktjNw7tb8KBvY3o7uyPHdvV3oeu9j6888ZOZOeaMW1mJabOqkL1pOKUrJsvh8PwtLQjs6qcSRcionFOr9dCX6hFfmHWWZ+XJBlOuwe9Nid6ux0nGr7b0d3RD6fj9DJ5siyjvcWG9hYbtm8+ACB6A7yqpgg1dSWYNLUMeQVWzi0JpCgK/LY+mIoLkx0KERHFka/bBrXJCI3JmOxQiIgmNCbw6QyKoqTlRa6iKAgmuXltr82JZx9fh/bWzxr4zZ4/CVfdcCGyc81xP58oiqisKUJlTRGuvOFC2Lrt+HTPcXy65zhaGrtjx/X3urDl/X3Y8v6+WN38ydPLUTetHFmDrJIcS2GPF/5uG4yF+ckOhYiIkkilEmM3rOumlp32nM8bQGd7HzrbetHWYkNbcw96uvpxaul9j8sXKzEHABarCbVTSjFlegXqppWP6mY6nV2w3wFDXi5EljMiIho/FAWeljZYJlVzpzQRURLxHZjOEPH5oTamX5O4sNsDKRRK2vmPHW7FM398CwF/NAaNRo2bvnAJ5l84dcxiyCvIwrKV52HZyvPgtHtwYG8jPt1zHA1H22OlCE6tmx99jRV1U8tQM7kU1ZOKYcowjFm8Z+Pv6YXaaGBTWyIiOiujSY+auhLU1JXEHgsEQmhv7kHT8S401neguaELgcBnnwmcDi8+2X4En2w/AkEQUFFdiKkzKzB9VjXyi7LS7jNPKlJkGf7ePpiKCgY/mIiI0oYcjnCnNBFRkjGBT2eQIxGE3Z60S6AGkrj6/tD+Jjzzx7cQiUQb1eYVWHH3169AUUny6gVasjJw0dKZuGjpTPh9QRw92IKD+5tw+NOmWN18ALB1O2DrdmDrB/shCEBhSW4sMVJVW5SUhL6ntQOW2iqodNoxPzcREaUfvV6LmsmlqJkcbawryzI62/pw7HArjh1uQ2N9B8KhCIDojr2mhk40NXTirTXbkVdgPdEzpgZllflMToxCsM8OQ14OV2kSEY0zYY8X/p5eGAvykh0KEdGExE/XdFZBhzOtEvhSMISw25OUc+/f3YC/PbEekhRd4T5tVhXu/PJy6PWpk3w2GHWYPX8SZs+fBFmW0dbcgyMHW3D0YCtaGrsgy9G6A4oCdLb1orOtF1ve2wsAKCzJQW1dCWqnlKG6rhgGgy7h8SqSBHdzGyy1lRBEMeHnIyKi8UUURZSU56GkPA9LV8xDJCyhsaEDhz9txuFPm9HT9dlNf1u3A++v34X31+9CVnYmZp1Xi9nn1aK0gsn84VJkGQFbH4xchU9ENO74u23QGA3QZGYkOxRKUVIoDEElQlSlXs89onTHBD6dVdjphixJafPGG+hPzur73TuPYtVTb8cS4HPmT8Id910OVQr/3kRRRHlVIcqrCrH86oXw+4NoPNaBhqPtaDjajo5W22l1hE82w93y/j6IooDSinxMm1mFabMrUVick7DkhhQIwNPWgczy0oSMT0REE4dao8KkKWWYNKUM196yGH02Jw7ui5aZa6zvhHJi4rP3u7Hx7d3Y+PZuZOeaMXdBHeYsmITC4pwk/wTpI9Bnhz4/N20+QxIRJdr//dsfEPb5UVGRh+pJxSgpz0vp68WBeFrbo/XwNZpkh0IpQFEURLw+hNyeaEnjQBCCKEKTmQGd1QxNZgYX5BHFCRP4dFaKoiDkcEGfk5XsUAalyDKC/Y4xP++ne47j+Sffjl30n3fBFNz2pUshptkEZTDoMG1WFabNqgIQbQ7Y1NCJhqPtOH6sA+0tttjPKMsKWhq70dLYjXVrtyMrOxPT51TjvAsmo6QsL+7J/JDDBb++F4b85JUiIiKi8Scnz4Ill83BksvmwOP24+C+Ruz9pB71h1tjN+X7e114962P8e5bH6OoJAdzF07G3IV1sGZx5eFAFFmOltLh3E1EhHAwjP0fHUQkFMGnnxwDAGi0alRWF6FqUjGqa4tQXlUIjTY9UjNyRIK7pR3m6gruUpugTpZcjibtvVAk6bTnFVlGyOlCyOmCoFJBa86EzmqGOsPEfzNEo5AeswQlRdDuSIsEfsjpPmPSSLSWxm489+cNscT2+Uum46Y7l0IU039CMpr0pyX0/b4gGo62o/5IG+oPt6G7sz92rL3fjS3v7cWW9/aisCQHCy6cinnnT0ZGZvzq5vu6eqAy6KHlVk0iIkqAjEwDFi6ahoWLpsHr8ePTPcex9+N61B9pi83zne196HzlQ7y15kPU1JVi3vl1mDm3FnpD6pTLSyWBvn7oc3MgjIPPRUREo2Hr7IXeqIcn9Fm513AocqJHSysAQKUSUVZZgOpJxaiqLUZlTVFKzy8Rrw++rh42LZ9AIn4/wq5o0j7i8w/5dYokIWh3IGh3QNSoobWYobNaoDaOfZ89onTHBD6dU8TnhxQMQqVLfM3z0QiOcfmc/l4Xnvr96wiHo83w5i6ow81fWDpu7yYbjLoTzf2qAQD2PhcO7mvCgX2NOH60PVb7v6u9D6+9tAVvvboNCy+ahkuWz0V2rjkuMXha2tnUloiIEs6UYcD5i6fj/MXT4XJ6se+TeuzeeRQtjd0Aor1i6o+0of5IG155fhOmz67CeRdMwaSpZVCp0msHXiLJ4QhCTid0WdZkh0JElFTFlUX49Rs/R8P2/Tj8yWE0HuvA8foOOO2fJfQlSY41Vwc+gSAIKC7LRXVtMapOJPXjuUAqHgK2PmhMxrTqm0dDp0gywh5PrDSOfCL3MRpyOIJAbz8Cvf1QabXQWs3QWi1Q61M730SUKpjApwEF7U4YC/OTHcY5SYEgwl7fmJ3P5w3gif9bC487ete5elIxbvvSZeM2eX82WTlmLFo2C4uWzYLfF8TeT47h422H0Xy8CwAQCUv4cON+bN/8KeYurMNlVy5AXoF1VOdUJAnuphaYayohqvm2RUREiWe2mLD40tlYfOls9Nqc2L3jCHZtP4JemxMAEA5HsOfjY9jz8TFkZBowZ0Edzjt/MkrK419SLh35bX1M4BMRARAEAYWlucgyzcCFF8+Aoiiw97lxvL4jmtA/1o7eHmfseEVR0N5iQ3uLDZvf2wsAyC/Miq3Qr51SCrPFlKwfJ8bT2gHLpCqotFxkNR5IwVC0NI7LjYjXF9uFmJBzhULw9/TC39MLlV4P3YlkvkrL3gpE58JMGA0o6HDCUJC6F6Jj2bxWkiQ888e3YOt2AIh+iLrnH66CWpOeDYjiwWDU4YIlM3DBkhno6bLjoy0HsH3zAYSCYciygk+2H8Gencdw8eVzcNmV86HTj/zDnRQMwXW8BeaaCjbGIyKiMZWbZ8Hyqxfi8qsWoLWpOzq/fXwMPm8AAOBx+2Ml5fILszB3YR3mLKhDbp4lyZEnjxQIIuT2sAQeEdHnCIKA7FwzsnPNmH/BFACAy+lFY30nGo9F+5B1dfTh1PxpT5cdPV12bN98AKIoYtGymVh+9UIYjMlbvaxIEjwt7TBXV7JkWhoLuT3wdXRDCgaTcn4pEICvKwBfVw/UJmM0mW8xc+Ee0efwfwQNSA6FEfH6oMlI/h3+z1NkGUG7c/AD4+TNV7ah4Wg7gGi93K88eC2MJv2YnT/V5Rdm4dpbFuPSK87D1g/2Y8t7e+H3BSFJMt5fvwu7PjqCa25ZjNnn1Y74hpAUCMDd1ApzVTm72RMR0ZgTBAHlVYUoryrEtbcuxpEDLfhk+2Ec3N8IKRItKdfTZcf6tR9h/dqPUFZZgLkL6jDrvBpYrBMvkR2w9TGBT0Q0BGaLCbPPq8Xs82oBRHd+NzV04vixDjTWd6Ct2QZZjs4zsixj87t7seujI1h53QU4f/E0iEm6Nor4/PB1dsFUUpSU89PIyZIEX0c3gnZHskOJiXh9iHh98HZ0Q2cxw1RaxOt+ohOYwKdBBe2OlEzgh5yuMWteu393Aza9swdAtMnQvd+4Om713ccbU4YBK65ZiEsun4P3N+zCBxt2QYrIcDq8+NsT67Hro8O47UuXj7iOY8Trg7u5DZmVZSm7M4SIiMY/tVqF6bOrMH12Ffy+IPbtqseuj47g+LGO2DGtTd1oberGay9tRmVNMWadV4OZcydOMj/s8SLiD0Bt4IIHIqLhMJr0mDarCtNmVQEAQsEwmhu7cPjTZmzb+CnC4Qi8ngBefu4DfLhxP66/dQlqp5QmJdZAnx1qo4Fl09JIyOWGt70zLrXtE0JREHQ4IUci0et+JvGJmMCnwYWcbsjFUsqVLQn0O8bkPLZuB174y7uxP197y2JUVBeOybnTmU6vxRXXXYD5F0zB2hc349D+ZgDAof3N+OV/PI877r0cddPKRzR22O2Bu6kVmRWlnMyJiCjpDEZdrPmtvd+NPTuPYffOo+hs6wUQbX7bWB9dRbn2hc0oryo8kfyvRn5hVpKjT6xAbx8yykqSHQYRUVrT6jSYNKUMk6aUYfGls/Hmyx9iz8fHAABd7X3446/WYMacalxz8yLkJKF8m6etExAE6KwTt3RcOoiuuu8a00oGoxH2eKPX/UziEzGBT4NTZBkhhwv6nNS5wIwEAoiMQfPacCiCvz7+FgKBEABgzvxJuGjpzISfdzzJzbfiyw9ci0/3HMdLf3sfXrcfbpcPf/rNWlyyfC6uvOECqEZwcyjs9sB1vBmZlWWsj0dERCkjKzsTy1bOw7KV89Dd0Y89Hx/Dvl316OmK9u1RFKD5eBeaj3fhzVe2Ia/AisnTKzB5ejlqJpVAox1fc1rQ4YKxMB+iho3piIjiISs7E3d9dSUuWjoLa1/YhLYWGwDg0z3HcejTJlx82RxceuV86EfRf2zYFAWe1ugONCbxU1PKr7o/h7DHC1djC8yV5RBUTOLTxDW+rhAoYYJ2R0ol8IN9jjE5z5rVm9DZ3gcgWuP95i8uY9mWEZoxpxrlVQVY/Zd3cPRgKwBg49u70d5iw91fv2JE/QQiPj+c9Y0wV5VDpUteAyciIqKzKSjOxsrrzseKaxeiu6Mfez+px6d7GtDV0R87xtbtgK3bgS3v7YVao0JVbTFqJ5eidnIJSsrzoUr3i1VFQaDPDmNhfrIjISIaV6pqi/DN796GT7YfxltrtsHt8kGKRPuP7dx2GFdefwHmXzgV4lg1mGUSPyWl26r7s4l4fXA1NiOzqjzlKkMQjRUm8GlIIj4/pEAQKn3yk6SKLCPoSPzks29XPXZsPQgA0GjVuPvrV4ztKoZxyGwx4SsPXofN7+3BW69sgyTJqD/Sht/+4iV8+YFrkJtvHfaYcigMZ30TMsqKoTVnxj9oIiKiURIEAYUlOSgsycHK685Hr82JA3uP4+DeRjQ1dEKWFQBAJCzh2KFWHDsUvdGt02tQUV2IiuoiVFZHm+fqDen3WSTQZ4chP5fb34mI4kwUBSy4aCpmzqvB++s+wcZ3dkOKyPC4fHjxr+9h28b9uO62JaiqLR6bgJjETynpuur+bCI+P9yNLUzi04TFBD4NWcDugKmoINlhIORIfPNap92Dv//t/difb7zjYhQW54xqTEEUYSjIAxQFcjgCWYog4vFCjoxNI95UIYoCLrl8LiqqCvH0H96E1+2HrduB//v5i7jnH65C9aTh18lVJAnuplboc7JgLCpggoCIiFJabp4Fl1w+F5dcPhd+XxDHDrfiyIEWHDnQDKfDGzsuGAjj6MHW2M41QQDyCrJQWpGPsop8lJTno7g0B7oUX2CgSBKCdmdK7eYkIhpP9HotrrzhQixcNA2vv7wVn+4+DgBoa7Hh94++jNnzJ+Hqmy5CVvYYLHhiEj/p5IgEX2d6r7o/m4jPD/fxZmRWVUBUM4lPEwsT+DRkIbsTxsL8pJeQCfTbEzq+LCtY/cy78HmDAICZc2sw/8KpoxpTVKuRWVUOteH0MjFyOAJPazvCHu85Xjl+VdYU4Vv/diue/N3r6O7sh88bxOO/ehV3fXUlZs6tGdGYgT47wl4fMspKzvhdExERpSKDUYdZ82oxa14tFEVBb48TDUfb0HCkHQ1H2+F2fdbzR1GAni47errs2PXREQDRpH5uvhXFpbkoLstDSVkuSsrykGE2JutHOqtAbx902dakf44kIhrPcvIsuOf+q1B/pA1rX9gcKwe79+NjOLD3OJYuj/Zo0eoS3JeESfykGU+r7s8m4g/AdbwJ5uoK9sKjCWXI/9pbWloSEkB5eXlCxqX4kyMRhN2epJYpifgDiPj8CT3H1vf3xraumy0m3HzX0lFdbIpaDcxVFVDpzlwdJ2qiif2ArQ++blv0ynwCyc4144GHb8bfnliPIwdaIEkynv3TOtz2pctw3gVTRjSmFAjCWd8IQ242DPl5bHRDRERpQxAE5BVYkVdgxQVLZkBRFNj73Gg+3ommhi40N3ahq70PkiTHXqMon9XR3/tJfexxs8WEssp8lFUWnPjKh8GQvFKIUjCU9M+RREQTRe3kUjz077fjoy0HsX7tdng9AUTCEt55cyd2fngQV954EeYuqEtsffxYEl+AzmpO3HkIwIlV9x1dY1JuONmkQBCu480wV1VA1DCJTxPDkP+lV1VVxf3kgiAgEhmfdwXHq2C/I6kXXsEEr77vbO/Fm69si/359nsvhynDMOLxVHrdoJOKIAgw5OdCnWGEp6l1wpXUMRh0uO8fr8FLz76Hj7cdhiwrWPX0OwgGw7jokpkjG1RR4Lf1IehwwVhcAJ2FHxiJiCj9CIKA7FwzsnPNmLtwMoBonfzOjl60NdvQ3tKD9tZedLX3IfK5zw8upxcH9jbiwN7GE2MBRaW5qKkrQe3kUlRNKh7zhH6gt58JfCKiMSKKIi68eAbmzJ+Ed97ciS3v7YMsy3A6vFj11Nv48IN9uOGOi1FWkcAyuYoCT2s7ADCJn0Ahlxvetk7IEyi/Fk3in1iJr0nwjhKiFDDkBL4ywVYG09mF3B7IkUhStipFm9e6EjZ+JCJh1dPvxC6Al1w2G3VTy0Y1ZkZZyZDvCGuMRpirK+FqbB63293ORaUScevdl0Gr1eDDjfsBAK88vxGhYBhLV8wb8bhyOAxPcxuCGSYYiwpYVoeIiNKeWqNCWUXBaQkXSZJh67KjvdWG9lYbOlp70d5qQ8Afih2jKEBHay86Wnux+d29EEURNZNLMHNuDWbMqUbmGJTcCXu8iPgDnI+JiMaQwajDtbcsxgVLpuO1l7bi0P4mAEBLYzd++/O/46qbLsTFl81JXIkzJvETJtVW3Xvcfmg0qjHrzSMFQ3A1NCOzugIqLZP4NL4NOQv71FNPDfj873//e+zcuRMajQYrVqzAwoULUVBQAEVR0NPTg507d2LDhg0Ih8NYsGABvvGNb4w6eEoCRUGw3wFDfu6YnzqY4Oa17731MTpaewEAhcXZuPKGC0c1ni7LMuwLVJVeB3NNJVzHmyGHwqM6f7oRRQE33HExdHoN3l+/CwDwxssfQhAEXLJ87qjGDnu8cB47Dp3VAkNhHlTa1G72R0RENBwqlYjCkhwUluTEStDJsoLeHgdam7rR2tSNpoYudLTZYtX6ZFnGsUOtOHaoFa88vxE1dSW44OIZmDGnCipV4hrDBXr7kFE2/Ib1REQ0OnkFWfjyA9fgyIFmrH1xC3q67JBlGa+/tBXHj3bg9nsug9GUoBusTOLHXcjpgre9K6mr7gP+EBqOtuPYoRYcPdQKW7cDKpWI2imlmDm3BtNnVyMjc+QVDYZCCoViK/F5nU/j2ZAT+Pfcc885n/vqV7+Kjz/+GCtWrMCf//xnlJSc/UN5e3s7vva1r2H9+vWYOXMm/vSnPw0/Ykq6QL8d+rycMW9ClsjyOW0tPXj3rU8ARBPJt997OTSjqKUmiCKMhfkjeq1Kq4WlphKu4y2QgsERx5COBEHAVTdeBJ1Oi3VrtwMAXv/7VqhUIhZfOnvU4wcdToScLuhysmDIz2XTGyIiGrdEUUB+YRbyC7NiSX2fN4CGo+1oONKGg/uaYO93A4jutK0/0ob6I20wW0w4f8l0XLBkOswWU9zjCjpcMBTmQ8Xt7kRESTF5egX+eUop1q/9KLZw6uC+RvzqP1fji19bifKqwsScmEn8uJAjEXg7uhFKwqp7SZLR1tyDo4dacOxQK5qPd0OW5TOOOXKgBUcOtODvf/sA1XXFsd1+FmtGQuKSQ2G4GpqjSfyz9B4kGg9Gnb166aWX8OSTT2LBggV44403BlyxU1JSgtdeew0XXnghnnzySSxfvhy33XbbaEOgMSaHwgh7vNBmJubN92zCPl/CmtdGwhJWP/1ObOK59Mr5KC0fWfL9JH1ezqjqsIkaDcw1FXA3tSa8aW8quuyq+VCgYP3ajwAAr76wGaJKHHlN/FMoioJAbz+CdicMudnQ5+aw0S0REU0IRpMeM+fWYObcGlx/+8Vob7Fh/+4G7PukHr22aCLA5fTi7dd34IP1u7DkstlYumIeDMY41so/MQ+bihJYc5mIiAakUqlw1Y0XoXpSCZ5/6m34vAHY+934/aMv4+qbLsLiS2cnZsEek/ijkoxV9702J44dasXRQy2oP9x2Wnm+U4migLLKAjjtHjjsHgDRa++GI+1oONKOV1dvQnlVIWbOq8GsuTXIyonv378cDn+2El83tj1+iMbCqBP4f/zjHyEIAv75n/95SNttVSoVvvOd7+DOO+/E448/zgR+mgr22cc0gR/sTdzq+7ff2IGujn4AQHFZLi67cv6oxhM1ahjyckYdl6hWw1xdAU9LO0Iu96jHGw5BFKEy6KE26KHS6aBIEuRwGHI4gkggMCblfS6/agGkiIx33twJIFoTX6UScf7i6XEZX5Ek+LptCPTZYSjIhS47a8x3lRARESWLIAgorchHaUU+rrj+Ahw73IYPP9iPg/saoSgKwuEI3lv3CbZv/hTLVp6HRctmjWp34qlOlmMUE1iqh4iIBjdlRgW+/e+349kn1qP5eBckScbaF7eg4Wg7bvtSgkrqMIk/bHIkAm97F0LOxPUEPMnvC6L+SBuOHoyWxenvPfc58wqsmDSlDHXTylFTVwK9QQtFUdDa1IP9uxuwf3cD+k4sEFAUoPl4F5qPd+H1l7aitDwPM+dFFxXkFWTFJXY5HInVxFfrmcSn8WXUn8L37dsHAKirqxvya04eu3///tGenpIk5PZACoXHpFGIHI4gmKCJqrWpO7ZtUKUScfs9l0OtHt3FpLEgH4IYnxXdgigio6IUvo4uBPoSdxMDiF7Ia61m6HOyoTLoB0xmhz1eBO3RcjTK57bMxdOKaxdCkqTY39Hf//Y+tDoN5i4Y+vvNYE5+GAr09sNYmA+thR8iiYhoYhEEAXVTy1A3tQz2fjc2vbMH2zbthxSR4fMG8cbLH2LH1oO4/Z7LUVE9+tIKiiRFk/hxWPBARESjY83OxDe+c+NpJXUO7D1ZUucKlFclYMcUk/hDFnS44OvohBxJTD9ASZLRfLwrtsq+takHysmGOZ9jNOkwaUoZJp34zHC2VfSCIKC8qgDlVQW46sYL0dneh/27osn87s7+2HFtLTa0tdjw1prtKCzOju4QnFeDwuLRlWuWIxG4jzchs6pi2D0JiVLZqBP4bnd0ZXBPT8+QX3Py2JOvpTSkKAj220dc5304Av124BwTyGhEwhJW/+Xd2OR0+dULUFw6uua8Kr0O2ixLPMKLEQQBppIiiDot/J3nnkxHStSooc/Jhi7bOuSa8JoMEzQZJijFhQjaHfD39CZkG58gCLjyhgsRiUjY/O5eKAqw6qm3odVqMH12VVzPJQVDcDe3QW0ywlRUALUxsc12iIiIUlFWdiauv20Jllw6Gxte/wi7PjoCRQFs3Q787r//jkuWz8WKaxeOejV+oLcP+pxsCCJ3vxERJdvJkjpVtcVY9fTb8HmDJ0rq/B1X37QIiy+dFf/dykziD2gsVt0f2t+ENas3nXOVvUolorKmKJqwn1aGkrI8iMNYrCgIAopLc1FcmouV152Pni57LJnf3mqLHdfV0Y+ujn68/cZO5OZbYsn80vL8Ef27kyMSXMebYa4uh9rA63oaH0adwK+oqMDRo0fxzDPPYOXKlUN6zTPPPAMAKC8vH+3pKYmi25/zEnrhpchKwprXvv3Gjtgd4JLyPCxbOW/UYxoS2NzXkJsDTUYGvK3tiPgDox5P1GhgyM+BLss64h0DgkqEPjea/A/09sNv64MixXdlgCAIuPaWxQiFIvho8wHIsoK//uktfPmBa1E3tSyu5wKAiNcHZ30jdFkWGAsLIMapXAAREVE6yc414457l+Piy+fipWffR2tTNxRFwQcbduHgvkbc9dWVo1r4IIcjCDmd0GVZ4xc0ERGNytSZlfj2v9/xuZI6m0+U1Lk0/iV1TibxBUDHndAxQbsT3o6uuF9bn+S0e7D2xc3Yt6vhjOcKirNRd2KVffWkYuj08WsKm1+Yhcuumo/LrpqPPpszVmanpbE7dkxvjxPvr9+F99fvwrRZVbjrKyug1Q2/8oMiSXAdb4G5qpyL82hcGHWdj+uvvx6KomDVqlX4xS9+Mejxjz76KJ5//nkIgoAbb7xxtKenJJIjkYTXZg+5XJDD8V/Z3drcjQ82nFo657Ih9XAYiKhRQ2uJ7+r7z1PrdTDXVsFYkAeM8EaBSq+HqbQY1sm1J1a+jb7cjyCKMOTnwjqlFob83LiVEIqNLwi46c5LYqVzpIiMpx97A431nXE9z6mCdiccR+rh7+mFIsd/BwgREVE6KC7NxQP/ejOuvOFCqNTR+b2ny47f/fffsX/3mRf+w+G39cUjRCIiiqOTJXUuWT439tiBvcfxq/9ajdam7gFeOUKKAk9Le8LK5qYTORyBu6kVntb2hCTvJUnG5nf34r9/9LfTkvfVk4px+z2X4f/99F78yyNfwHW3LcHUmZVxTd5/Xk6eBUtXzMM3/+1W/PtP78X1ty9B9aTi0xZEHtzXiD/+ag28Hv+IzqFIElyNLXFZAEmUbIIyynocDocD06ZNQ3d39I181qxZuOeee7BgwQLk50e3u3R3d2Pnzp3461//ij179kBRFBQVFeHAgQOwWq3x+DkmvNLSUrS3t6OkpARtbW2jGivodMHTPLQxNBkmmKsrRnW+gTjrGxHxjezN+lwiYQm//unqWOPaldedj8uvWjDqcY2F+TDkj64Ez3DI4QiCdgeCdgek4Nk7wZ8kiGK0vn121pjcfZbCYfi7bAjaHfEdV5Lw18fX4cDeRgCAXq/F1799PcoqElCX8RQqnRamkiJoMkwJPQ9RKovnPDORxfv32L//UNxLqxGdS1d7H1Y9/c5p296XX7MQl1+1AOIId2RmVpZBa86MV4hEBM7Z8RLP36OntSPu10Zj4eC+Rqz+yzvweYMAoovfrrllERYtTUBJHUFARnnJhF2Jn+hV9y2N3Xj5uQ9Om8NNmQZce8tizFtYl7BKAsPlcfmwb3cD3nplGwKBaJ4jvzALX/3WdcjKHtnnBZVWC/OkKoijXLRJFG/DmWdGncAHgIMHD2LlypVob28f9D+9oigoLS3FunXrMG3atNGemk5IVgIfACyTqhPSHCTi98N5rDHu465f+xHeeXMnAKCkLA/f/O4to159L4girFNqh1xDPt7CHi8iPj9kSYISiUCOSFBpNVDp9VAb9FDpdXFfFT8UEX8Avq4ehN2e+I0ZlvDUY6/j6MFWAIDBqMM//PONo+5fMBRaqxmmogKImsQ3byZKNUwGxAcT+JTuwqEIXnz2PezecTT22My5NbjzvuXQaIf/OUhtNMBSG9++NkQTHefs+GACP8re78bfTpTUOWnG3GrcdvdlMBh18T2ZIECfkwVDfm7Srq3HmhwOR2vdJ6i6gd8XxFuvbsf2TftPay14wZLpuPKGC+NfFilOOtp68cRv1sLt8gEALFYTvvqt61BYnDOi8bQWMzIrSuMZItGoDWeeiUtGb9q0aThw4AC+/e1vw2q1QlGUs35ZrVb88z//Mz799FMm78cRv603QePGf1t1W3MP3lv3MQBAFEXcFofSOQCgtVqS+gFDk2GCIT8XpqICZJSVwFxVDlNJEfQ50RX3yUjeA4DaoIe5qhzm6oq4rfxXa1S45x+uQvWkYgDRDySP//pVdHf0D/LK0Qs5XHAcaYjW+mfCjIiIJiCNVo0771uOq268KFbNb//uBvz5d68hGBh4R+DZRHz+hJdkJCKikcs6S0mdT3efKKnTHOeSOoqCQG8/HIfr4eu2QZHk+I6fYoL9DjiOHk/IPKgoCnbvPIpf/Ohv2Lbxs+R9YUkOHnj4Ztx817KUTd4D0RJ+Dz58C3LzomWKnQ4vfv/oyyMuoxtyuhDoTXzOgChR4rIC/1ShUAiffPIJ9u/fD7vdDkVRkJ2djZkzZ+K8886DVpu4GloTWTJX4EMQYK2rgUoXv79bKRCE4+jo6qp+XiQs4Vc/XR1L9C6/ZiFWXLMwLmNb62qg0sd59cE4FHK54euyQQqMvgZdIBDCn379aqzhjdlixP3fvhH5hVmjHnsoVHpdtKyOyTgm5yNKNq7miw+uwKfx5ND+Jvztz+sRDIQBAJU1RfjKg9dCbxjeZ0K1QQ/LpOpEhEg0IXHOjg+uwD/TwX2NWPX0O/D7xqCkDgBRrYIhPw+67CwIIyzVloqkcBjets647lQ/la3bgVdWbcSxQ62xx7Q6DVZcsxCLL50Vl0WMY8Xj8uHPv30NbS3R0j9qjQp3f+0KTJs1gt17ggBLTSWb2lLKGPMSOpR8SU3gA9BlW5FRWjyq857K09qOoN0Zt/EA4M1XPsT766ONa0vK8/DNfxt96RwA0GRmwFxVPupxJgpFURByuuDvtg1au38wfl8Qf/zfNbE6fplmI+7/9g0oKMqOR6hDorVaYCzMg4o3J2mcYzIgPpjAH4QgQFSrIapVENRqCCoVpEAAUiCY7MjoHFoau/HE/62NJXPKKgvw1W9eO+xVfayFTxQ/nLPjgwn8s7P3ufDsE+tjC6mAaCm1W+++NP4ldU4QtRoYC/KgtVpSplb7SAX6HfB1diek1n0kLOH9DZ/gvbc+QSTy2fjTZ1fj+tuXjLiGfLIFAiE888e3YjckRFHAzXctw8JFw6/sIWo1sNRWQ1Snz00MGr/GvIQOUdDuhBwOx2UsKRhC0BHfDvRNxzvxwYbdAACVWsQd91wet7vOhryR1WCbqARBgM5qgaWuBqbSIoiakZceMhh1+No/XYeikujfgdvlw2O/fAVd7fEvv3QuIYcTziMN8HZ2Q05QwyEiovFOVKthKMhD1pRJyJo6CZZJ1TBXlSOzvATWuhpkTZ+MzKpy6HOzk1YWjs6uvKoA9z90Qyxh39rUjcd/9WosoT9U/m7b4AcREVHSZeWY8Y3v3ISLL58Te2z/7gb88j+eR8ORxNwwkkNheFo74Dx2HCFnfHMFY0EOh+Hv6YXjSAO8bR0JSd4fO9yKX/7keWx4bUcseW/NzsS937ga937jqrRN3gOAXq/Flx+4BnMWTAIAyLKCF//6Ht5b9/GwF7LIoTC8bR2JCJMooXgFRPGhKPDHqZ6Yv6cXiONqwlAojNVPvxN7Y19xzfkoLIlP0l2l10GTYYrLWBONIAjQZ2fBWlcLQ0HeiBMypgwD7v/2DSgpywMAeN1+PPbLV9DRlpjeDGejKAoCtr5YrUY5EhmzcxMRpTNRq0FGWQmsUybBWJB3zpu6okoFbWYGTMWFsE6dBGNh/qhuAFN8lZTn4Rv/fCMyzNGycu2tNjz92BsIh4c+H0b8AdbCJyJKE2q1Ctfeshj3/MNVsVX3DrsHf/zVGrz20pZhvf8PhxQIwt3cBmd9I8Ieb0LOES+KrCDocMHV2AL74Xr4unogBeO/o9Dt8uG5Jzfg8V+9Clu3A0B0hfoly+fiX3/4BUyfPT4axavVKtx53wosXjYr9thba7Zj7YtbIMvDyx+FXO6E9FwkSiQm8Clugn12yJHR3UmWQiEEHfEtnfPWmu3o7YmOWV5VcFrzndHS54xNvfXxTFCJMBbkwTq5FlqreURjmDIM+PpD16OsIh8A4PMG8IdfvoLjx8b2zroiSfB32+A4XA9ve+eoSwQREY1nWqsZlknV0GVZhlXXVlSpYMjPhXXyJJiKCyGkUR3X8aywJAff+OcbYcqIrsQ/fqwDq556G7I89AaE/m7b+CoJRUQ0zs2YU41v/787UDO5BEB0Hd6md/bgNz97MaELqiI+P1zHm+FqbEHEP/r+avEU8fnhbe+E/dBReFraonXuEzC3ybKCbZs+xX//6G/YveNo7PGK6kI89O+345qbF0Gr08T9vMkkigKuu20JrrzhwthjW97bi+ef2nBayaCh8HX1IOzzxTtEooQZFwn8lpYW/Mu//AumTp0Kk8mE7OxsLFy4EI8++ih8o/gP+cEHH0AQhGF9LV269KxjVVZWDun1lZWVI4432RRZRqBvdKvw/T19cZ3cjhxswZb39gKINju5/Z7LoVLF55+9IIrQWa1xGYsAUaNGZnkpMivLRrSq0mjS42sPXY+K6kIA0fr4f/r1q9j7SX28Qx1U9P+CHY4j9XDWNyLQ2w85QatQiIjSjSCKyCgtRmZ5KcRRJN8FUYA+NxvWybXQ52QDaV4TdzzIL8zClx+4FhptdB7ft6sBr67ePOSkfMQfGDc1oomIJoqs7Ex8/Z9uwDW3LIJKHb3W7mrvw29+9gI+2LBrWDdyhyvs9sB57DjcLe1JXTwlRyLw2/rgONoQvf7rsyekTM5JHW29+N1/v4SXn/sgVrLOYNThli8uwz/+y80oKslN2LmTTRAEXHrFebj17kshnlgAsmfnMTz529cRCAzj34CiwNPczt3zlDbSPoH/xhtvYNasWfif//kfHD58GD6fD3a7HTt37sS//uu/Yt68eTh+/PiYxTN58uQxO1cqCtj6II2wFr4UCsf1os3r8WP10+/E/nzVDRchvzB+K+Z1WVYIcboZQJ/RmjNhqauBLssy7NcaDDp89VvXoW5atKlwJCLhb0+sw+Z398Q5yqGL+PzwdnTBfugoXMebEejtH/H/ESKidKfSamGZVAVdtjVuY4pqFUwlhbBMqmZZuxRQXlWAL91/JcQTpfE+3Lgf7637ZMiv93X2jHpHJxERjS1RFHDJ5XPxT9+7LdafTIrIeOPlD/HH/10De19i69aHHE44jjbA2945ZgunFFlByOmCu6kV9kPH4OvshhSIf4mcUwUDIbz20hb8+r9Wn9ZE+LwLpuDhH38R5y+eHktqj3cLF03DPf9wFdSa6GKQY4db8cf/XQOPa+iLeOVwtLcCd/9ROkjr4qF79+7FbbfdBp/Ph4yMDHzve9/DsmXL4Pf7sWrVKvzpT3/CkSNHcPXVV2Pnzp3IyMgY1vgLFizA/v37Bz3uwQcfxMaNGwEA99xzz4DHXn/99fjJT35yzue1Wu2wYkw1iizD29YJc1X5sF/rbeuI2+p7RYk2NXGfePOum1aORafUSosHls9JHFGlQkZZCdRGI7wdXcP6dxFtcHM1/v63D7Dzw0NQFGDti1vQ2+PEtbcuhjqJ3ebDHm+0VmNHF9QGPbRWC3RZVohJjImIaKyoDXpkVpVDVCfm46dar4O5ugJBhwu+zi7ufEqiKdMrcNuXLsWqEwsp1r26HQVF2Zgxp3rQ10bL0fXAVFKU6DCJiCjOikpy8a3v3ob1r32EjW/vgqJES6r98j9W4fo7LsZ550+GkKgdc4qCQJ8dQbsT+txs6PNyRrXT71xO7hYLOZxjdsNZURQc2NuINas3wWn3xB7PK7Di5i8sRc3k0jGJ41xEtRrqDCM0JiPkiISwyz0mpY2mzarC1//pBjz1+9fh9wXR1tyD3z36d3ztW9cjO3do5XnDbg8Ctj4Y8sfvrgUaH9I6gf/QQw/B5/NBrVZjw4YNuPDCz+pgXXrppZg0aRIefvhhHD58GL/85S/xyCOPDGt8k8mEGTNmDHiMw+HA9u3bAQC1tbW46KKLBjzearUOOma6C7s9CNqdw1pBHejrj2sTmo+2HMCBvY0AAFOGHrffc1lc70RrMkxQ6XVxG4/OTp+TBZVOC3dz27C2IKpUKtx696WwZGXgnTd2AoiuAGxt7sHdX1uJrJyR1dqPp4g/gIg/AH+3DVqrGfqcLKgNhmSHRUSUEJoMEzIrysZk55rOaoY2MwO+HhsCvf0JqTtLgzvvgilwOrx4a802AMCqp97Ggw/fgsITKzMHEuizQ5dt5bxIRJSG1BoVrr7pIkydWYFVT70De78bgUAIq59+B4f2NeKmLyyFKSNx7++KLMPf04tAbz8ElQqCSoQgnvhSqSCIAgTx849/9j1U4hnPK5KEkMOFoN0x5jX37X0urFm9CQf3NcUeU2tUuPzKBbhkxdykLFAT1WqoTUZoMoxQm0xQfz43UpAHORxGyOVByOVGxOuDkqBSSlW1RfjHf7kJT/xmLZwOL3p7nPjtL17CV791HYpLh5aU93Xboj+PyZiQGIniIW3rf+zcuRMffPABAOArX/nKacn7k77zne9g6tSpAIBf/epXCCegbMXq1asRPNFJ/O677477+OnK19k15FpiUjAEX2dP3M7d02XH2he2xP58692XwWyJ75Z6rr4fO5oMEyy1VVDphnfDRBAErLz2fNx696WxWoytTd341X+txqH9TQmIdGQUWUaw3wHnsUa4W9pYg4+Ixh2t1YLMyvIxLTsnqESYigpgrauB1pw5Zuel0y1bOQ9zF9QBAILBMJ567A34vENLfHjbu7ilnYgojVVPKsG3f3AHzrtgSuyxfbsa8Mv/eB6HDzQn/PyKLEMOhyEFgoj4/Ah7vAg5XQjanQj09cPf0wtfVw+8HV3wtHbA3dwGV2MLXPVNcB5tgOPQMdgPHEH//kOwHzwKb0fXmCbvJUnC++t34b9//Nxpyfu6aeX4ziNfwGVXzR+z5L2oVkFrMUdLFtbVIGtaHTIrSqHPyT4zeX/yNRoN9DlZMFeVR4+vLIMu2zqifneDKSzOwQMP3xIrmex2+fDYoy+j4Wj70AZQFHh4LU4pLm0T+GvWrIl9f9999531GFEU8aUvfQkAYLfbYwn/eHrmmWcARJOFTOB/Ro5I8HZ0D3qcoijwtHXE7W5sKBTGs39ah/CJbfMXXDwD02dXxWXsk0SNBhomA8aUSqeFuaZiRLseFi6ahgcfviW2hc7nDeLJ372Ol5/fCL8/sTUKhyvkcMFxpAHBfkeyQyEiigtdlhUZZcUQklSPVaXTIrOyDObqCqj0+qTEMJEJgoBb774UJeV5AID+Xhee/dN6SNLgn/siPj+CdmeiQyQiogQyGHS4497LcffXr4DRFJ2HXU4f/vx/r+GV5zciFGJvsLNprO/Er/5zNd585UOEQ9HcRqbZiC9+dSW++s1rkZs3/H5xwyGoTiTsiwthqatG1rTJgybsBxxPFKE1ZyKjtBjWKZNgqa2CoSAPakP8PptlZWfiH//lJpRXFQAAAoEQnvjNWuzf3TCk18vhCOvhU0pL2wT+5s2bAUTL3Jx33nnnPO6SSy6Jfb9ly5ZzHjcSDQ0N+PDDDwEAS5YsQVVVfBPF6S7kcCLkcg94TMDWh4h36E1GBqIoCl5+7gN0tvcBAPILs3DtLYviMvap9NnWxNXto3MS1WqYqyqg0g2/T0RpeT4e+v7tmD77s9q72zbux6M/+hv2fVKfUpO0IknwtHXAdbwZ8jDKBhERpRpddhZMpUUpMWdqMkywTKpCRnnpsHd00ehotGrc8w9XISMzWi7h2OFWvPnKh0N6ra+zG1IwlMjwiIhoDMyaV4vvPHInJk//rFfehxv341f/uRqtTYMv/JsofN4AXvzre/j9o39HV0c/AEAQgEVLZ+Jff3wXZs+flJDPVYJKBa0585SE/YkV9rnZUMd5AYQgCFAbDTAW5MEyqRrWqZNgKimCJjNj1D+bKcOA+x+6AVOmVwAAIhEJf318HbZt+nRIrw+7PQj09I4qBqJESdsE/qFDhwBE686rB2iGNmXKZ9u1Tr4mXk6uvgcGb1570qZNmzBr1iyYTCYYjUZUVVXh9ttvx5o1a1IqiRgv7uY2eDu7z1hhr0gyfN02+LttcTvXR1sO4JPtRwAAWp0GX/r6ldBqNXEbHwAgCNCxfE7SiBp1dBXlCJo9G4w63PMPV+L625ZAo42+Z7icPvz1T+vw5G9fR0dbak3UYY8XroZmbuMjorSkz8lCRook708SBAE6qxmWumpklJWM6IYwjUxWdia+dP+VUJ0oo7TpnT2xXkUDUSQp2gcnQXVziYho7JgtJnzlwWtx452XQHOijIqt24Hf/uLvePuNnUPanTVeKYqCj7cfxi9++Cx2bD0Ye7ykPA/f/O6tuOGOS2AwxH8BgqBSwVRSGCtxczJhP5af31SnltqZPvmzUjsD5PkGotVpcO8/XoV5508G8NlCz6Em8X09vXHtz0gUL2mZwA8EAujtjSbbSksH7radlZUFkyla/7y1tTWucTz77LMAAIPBgFtuuWVIr2lsbMT+/fvh8/ng9/vR1NSEF154ATfeeCOWLFmC9vYh1uhKF4qCgK0PjqMNCLnc0YYytj44jhyDv9sWt5sWrc3dWLN6U+zPt35xGQqKs+My9ql0VvOIJxKKD1GjQWZ1BcQR3JwRBAGLL52Nf/3hFzB1ZmXs8cMHmvG/P1mFpx97E+0t8bupNFpSIABXQxMkbi0lojSiz82GqaQo2WGckyAI0GVZYKmrQWZlGdRsWDYmqmqLcc0pOyNX/+Ud9Pe6Bn2dFAjA296VyNCIiGiMCIKAiy6ZiYf+/XaUVeQDAGRZxobXPsLvH/07enscyQ0wCXq67Pjj/67B6qffgdcTrbGv02tw/W1L8K3v3oqyioL4n1QQoM/NhnVKLfQ52Smz4OLUUjuWyTXQZGaMaByVSoXb77kclyyfG3tszapNOH5sCPk2RYGnpR1ymAvpKLWkZQLf7f6sLEtGxuD/oU8m8D0eT9xi2Lx5M44fPw4AuPHGG2E2mwc8XqvV4rrrrsNvf/tbfPDBB9i9ezfef/99/Nd//RfKysoAAFu3bsXy5cvhdA5e7zMYDMLlcsW+Un31vhwKw93UCvuhY/B1dkOOxK80iNfjx1//uA5SJHrHfvGyWZhzomFavOlz4n9TgIZPpdWcaIg4sqY9WTlm3PePV+Pur18Bi/WzBscH9h7Hr/5rNZ74v2itPCkFSthIwRBcDY2QAqlVr5+Ihibd5uvRMuTnwlRcmOwwhkQQBGjNmbDUVMJcWwmt1ZIyF7Dj1aKlszBrXg0AwO8L4tkn1iMyhM+EQbsDgX57osMjogluos3ZyZRfmIUHHr4Zy69eAPFEn5yWxm788ier8OEH+4c0N6S7cCiCdWu345f/8fxpzVZnzavFv/7wLiy+dDZEMf4pO01mBqyTqmEqLoQ4wuvpsSCqVNFdASOsgCCKAq65eREuvnwOgOiNomceXwd73+CLB+RIBJ7Wdr4HUEpJy6XEgcBnnb+1QyiloTtR69Tv98cthr/+9a+x7082yh3Ijh07YLVaz3h86dKlePDBB3HLLbdgw4YNOHToEH784x/jl7/85YDj/fSnP8WPf/zjYcedbEqcE6LhcAR/+cNbsPdHb+pUVBfi6pvjX/ceANRGA9RGQ0LGpuFT63XILC+Bq6kVGMHEKggCZs2rxdQZlfhoywG8v/4TuJzRfgxHDrTgyIEWZGQacN4FUzB3QR2Ky3KTltiRwxG4GltgmVTFHSBEaSZd5+uRMBbkwVCQl+wwRkRjNEJTboQcKUCw34FgvwNSiLXX400QBNxy96Vob+1Fn82J1qZuvPHyh7j+tiWDvtbX3gW1Xs/PYkSUMBNpzk4FKpUKK649H1NmVOD5J99Gr82JcCiCV1ZtxDtv7sSFl8zABUtmINM8/nbKHTnYglee34g+22eLN7Nzzbjh9otP2ykeTyqdDsbiAmhHuKo9GQRBgKmkCCqdDt7O7hFd919140Xo6ujD0YOt8Lr9ePoPb+KBf7150HLLYY8X/p5eGNP0sy2NP4KShreUbDYb8vOj261uv/12rFq1asDjCwoK0NPTgxkzZmD//v2jPn8wGERhYSEcDgeKi4vR0tIC1SjvXDqdTtTU1KCvrw8mkwn9/f0D3pwIBoMIBj9bkTt16lR0dHSgpKQEbW1to4ol6HTB0zy6McaCLCt4/skN2PPxMQBAhtmIf/rebbBmJWZCyigrgS4rsd3eafgC/XZ42zpHPU44HMGOLQfxwdu74eg/s/myNTsTM2ZXYfrsalRNKhr1//mRUJuMMFdVQBC5QpTGXmlpKdrb2+Myz0wkiZyvAaB//6GUWB1kLCqAIS8n2WHEjaIoiHh9CDqcCDlcrMEeZ20tPfjtL16K7Z780v1XYubcmkFfJ6hUMFeVM4lPNAjO2SOTyDnb09qBoN0xygjHr1AwjNf+vhXbP1enXKUWMWf+JCy+dDZKy/OTFF38uJxerH1xC/aeyGEAgEol4pLlc3HZVfPj38MP0bnTWJAHXU5WWu80DLk98LS0j2hRqM8bwP/97EX0nrhhMnv+JNz1lRVD+n2Yq8pHXMqHaDDDma/TcilnZmZm7PuhlMXxeqMNKIZSbmcoXn31VTgcDgDAXXfdFZdEnsViwR133IHf/e538Hq9+Pjjj3HRRRed83idThfbWQAgrm/Eh3YdQ0mWPraVLVWte3VbLHmv0arx5QeuTljyXtSoobUMXCaJkkOfnQUpGELA1jeqcTQaNRYtm4ULL5mBY4dasWPrIRzYezzWTMnR78aW9/dhy/v7oNNrMGlKGaZMr8Dk6eWwZmcOMnp8RLw+eDu6kFGaurWlU1HEH0DY64XkDyDiD0IOh6HW66Ay6KE2GKDJNHFnAyVMIufrlCAIyCgpgi7bmuxI4koQBGgyTNBkmKAUFyLkdCPkdCHs9qTEDZN0V1qej+tuXYJXnt8IAHjp2fdQVlkw6Oc4RZLgOt6MzKpyaNi7gIjibNzP2SlMq9Pg5i8sxXnnT8amd/bg0z3HoSgKpIiMT7YfwSfbj6CqtgiLls3GjDnVsabo6UCSJBw92IrdO4/i0z3HEQ59Vlu9qrYYN39haUL690EQoM+2wlCQNy6udbSZGTDXVMLd1AJ5mD3ijCY97v3G1fi/n7+IYDCMvR8fQ3FpLi694rxBX+tpbYdlUjVETfxvrhANR1r+L9br9cjNzUVvb++gdyjsdnssgX+y1vxoPfPMM7Hvh1I+Z6imTZsW+z5ZzWy3rd+BP/34acyYU40771sOrS4136S2bfoU76/fBSD6weqLX12ZmOYuJ+iys7jqOYUZC/MhB0MIuc5cOT9coihi8vQKTJ5eAa/Hj72f1OPA3uOoP9wO+cQKzGAgjE/3HMene6J9MErK8jBtdhWmz6pKeKmdYL8daoN+xLUAJ5KIzw9ftw1h95k3esNeH8LeaMkkQRRhyM+FPjcbQgLqTBKNV4IoIqOiNK22Yo+EIIrQZVmgy7JAliSEXW6EnG6EPV6uzB+FCy+egYYjbdi3qwE+bxDPP7kB93/7hkHr/SqyDHdjCzIrSrkijogmDEGlit1YVum00ZvJJ74UAJAVAEq0wkjsceXE4zjr8YoiI+Lzp1SvrcqaIlTWFMHe78aHH+zHR1sOwO+LxtdY34nG+k5YszJw0dKZWLhoGkwZqbkjS5YVNNZ3YM/Oo9i3qx4+7+m/Y6NJj2tuXoT5F05JyLWjJsMEY3EB1Hp93MdOJrVeB0ttFdzNbYicuJYbqoLibNz55RV4+rE3AEQXhBaV5AxaskiOSPC0tCOzuoI39Sip0jKBD0S3s23evBn19fWIRCJQn+OO4uHDh097zWj19PRg/fr1AIB58+ZhxowZox7zpGSv6HLZ3fjLz58DAHy65zh+/+jLuO8fr4YlQavaR2rXR0diK7YA4IbbL8a0WVWJO6EgMFma4gRBQEZZCZwNTZBO6ZExWqYMAy66ZCYuumQm/P4gDn/ajEP7mnDkYAt83s/O095qQ3urDW+/vgPZuWbMv3AK5l8wBVk5idm14e3ogkqv4+rDc5CCQfg6e4Z8Q0eRZfi6ehDot8NYmA+dlaWyiAYjqtXIrCqD2pCaF86JIqpU0GVZocuyQpFlhD1ehFxuhN0eyOHI4ANQjCAIuPmuZWhp7IbD7sHxYx14f/0uXHbl/EFfq8gy3E2tMI3D3R9ERCepjYZo0j4zA2qjIWHJQykUQtjlQcjtQcTjTXpeAgCysjNx9U0XYfnVC7BrxxFseW8fujv7AQAOuwdvvrINb7++E/POr8PiZbNRWJL8Mn6KoqC91YbdO45i7yf1cNrPXERkMOowb2Edll+zMCE3H1Q6LYxFBdCax2aHeDKIajXMVRXwtncgaHcO/oJTTJ9dhZXXnY/1az+CogDP/XkDvvndW5FfOHC+J+z1wd9tg7Ew/cs4UfpK2wT+4sWLsXnzZni9XnzyySc4//zzz3rcxo2fJXoXLRp9c9PnnnsOkUj0Ai2eq+8B4ODBg7Hvi4uL4zr2UJizMvHAf30Nj/2/JxDwBdHeasNvfvYC7v3HqxO6un04dmw9iJeefS/Wu+SS5XNx0dKZCT2nzmoeF1vOxjtBJSKzsgyu+uOQI/FtlgwABoMOcxfUYe6COsiyjLZmGw4faMahfY1oa7HFjuvvdWHDazvw9us7UDu5DBctnYlps6riW5JKUeBt7YBlUjWENNo+OhYCff3wdfaMaFWsHArD09KOsNsDU0kRV+MTnYNKr0dmZSlUA/TqmQgEUYTWnBm7SJaCQYQ9PoQ9XkT8/mFv756IjCY97vzycvzhl2ugKAo2vPYRaieXoqK6cNDXKooCT1sHQi43TKVF/Kz2OYqsQA6HT3xFIEc+u8EkCAIgilBpNRC1WogaNVcVEqUAUaOOJew1GWNX4lGl1UKVmw19bjYUSUbYE03mp8LNaa1OgwuWzMD5i6fj2OE2bH1/Lw7tb4KiRHuYfbTlID7achC1k0ux+NLZmDqzYtCdXPFm67Zj985j2LPzKGzdjjOe12jVmD6rCnMW1GHytHKoNfHvpSaoVNEdxTnZE6JygCBGF/CpdDr4unqG9drLrpyPzrZe7NvVgEAghKcfewPf/LdbYTDqBnydv6cXapNx3O88pdSVlk1sAWDHjh2xpP3999+PP/zhD2ccI8syZsyYgUOHDsFqtaKnpweaUdatmjdvHnbv3g21Wo2Ojg7k5cWnI/WpTWyNRiP6+/tPq783mHg2Kmradwy//X9/Rn+vC0C0NvhtX7oUcxbUjWrc0dq26VO8/NwHsT9feMlM3HD7xQmv1W+ZVA21YXxtPRvPwl4f3Mebx3TliMPuwcF9jfh093HUH2nF509dVJKDy69egBlzauL671WfkwVTCevhA4AcjsDT1nHWcjkjoTYakFlZxoTQKdgQLz7i/Xsc6ya2umwrTMWFvME1BHIkgog/AMkfgBQKQQ6FIYfCkMJhnDFRTHDr136Ed97cCQDIzjXj2/9+B/SGod8gEtUqmEqKJnS/IjkSid488vmjJTH8gSG/NwiCAJVBD43JCHWGCRqTkf/H0xzn7PiI5+/xbE1sBUGA2mT8bJV9il1zKooCyR+IJvNdbkT88dvpPBq9PQ5s/WA/dn54EMHA6TfLs3PNWLR0FhYsmgqDYej5lOFy2D3Y+3E0aX/qYq6TomVZyzF3wSRMm1UFnT5Bix4EAbosK4yF46PO/UiEnC54WjuGtYArGAjhd//9d3S2R/voTZlegfseuHrQmz+CSgVLXTVUrIdPcTKceSZtE/gAcPHFF2Pz5s1Qq9XYtGkTLrzwwtOe/+///m88/PDDAIAf/vCH+NGPfnTa808//TTuu+++cz7/eQcOHIiVzLn22muxdu3aIcW5bt06XHLJJTCcY5u52+3GLbfcgg0bNgAAvvnNb+I3v/nNkMY+KZ4fLoJOF7o+PYa//OFNNDV0xh4/f/E0XHfbkoR0Rh+IoijY9O4evP7S1thjSy6bjWtvWZzw1UKazAyYq8oTeg6Kv6DdAU9rR1LO7eh345PtR7Bz2yH02U7f0ldYkoNrbl6EydPi92/KXFU+4WsAh1zu6Ic2Kb47L0SNBpmVZSl3MZUsTAbER7om8AVRhLG4EHqWK4kLRZIhSxKUk1+KAsgyFFmBIstQFDlan1iWoUgS5IgEJRJdRS2Fxt8NAEmS8dj/vIzm410AgPMumIw77l0+7HE0GSYYCvImTIk5KRBEyOVGyOVGxOeP38CCAG1mBrRZFmgzM5jMT0Ocs+MjEQl8lU4LTUYGNJnRevbp9P9LDodPJPM9KdEHJuAP4ePth7D1vX3o/dx1l06nwfwLp6C8qhBanQZanQa6E1+n/lmtUQ05p+D1+LFvVwP27DyKxvqOM6ZiQYg2pZ27sA4z59YkvD6/JsMEY1EBr1UARPx+uJtah7VjpL/XhV//9IVYadxlK+fhqhsvGvR1apMRZtbDpzgZzjyT1rfofv3rX2PRokXw+/1YsWIFvv/972PZsmXw+/1YtWoVHn/8cQBAXV0dvvOd74z6fH/5y19i399zzz1Dft3PfvYz3HXXXbjpppuwePFi1NTUICMjAw6HA9u2bcNjjz2G1tZWAMDkyZMHvZEwFjIyDbj/oRvw0t/exyfbo30EPtpyEE3Hu3D3V69ITJf0swgFw/j7cx9g10dHYo8tWzkPV95w4Zi8YRrykl9Lj4ZPl2WFHArD133maohEs2Zn4rKr5uPSK8/D4U+b8fYbO9Ha1A0A6GrvwxO/WYt550/GdbcujsuHOk9bJyx11RBV8d+KmeoUWYavsweBvv6EjC+Hw3A1NCGzqnzCJIOIzkZtNMBUWjTuGqElk6ASoVKJAIa/KEJRFMihEKRgCJI/gPCJFdfxvok5llQqEV/48gr88ifPIxgI45PtRzBlRiXmzJ80rHHCHi/CHm80kZ+fC02GKUERJ48ciSDocCJkdyZuNayixG4MCCoVtBYz9LlZfA8gGgVdjhWGgty0Lj8najTQZ2dBn50V7QPj9UUbu7s9SSkbpzdosXjZbFx0ySwcOdCMLe/vxdGD0bxKMBjG1g/2Y+sH+wccQxAEaHXqaGJfq4FWf0qSX/tZot/e78KRA62Qz3LTorQ8D3MW1mHOeZPGpH+gqNXAVFQwoXedfZ7aYIg2t21qHfLcmJ1rxt1fvwJ/+vWrkGUF76/fhaLSXMwdpPJExOuDv6sHxqLUKDNNE0daJ/Dnzp2L1atX44tf/CJcLhe+//3vn3FMXV0d3njjDWRmjq6JhyzLeO65aIPXrKwsXHPNNcN6fX9/P5544gk88cQT5zzm4osvxnPPPYfs7LFJjg9GrVHh9nsuQ01dMV5ZtQnhUATdHf349U9fwIprF2LJZbOhSmDS0NbtwDN/fBNdHZ8l51ZcuxCXX7VgTJL3J5sGUXoyFORBjkQQ6LMn5fyCIGDqzEpMmVGBIwdbsOG1HbFE/q6PjuDIwRZcf9sSzJk/aVT/nuVwGL6OLmSUlcQr9LQgBYPwtLQnfCuvIstwN7YwiU8TkiCK0cbOOVlcZZRCBEGASqeDSqcDzJkw4ESZg0AQYa8XYZcHEa8vJZoQDkd2rhk33nEJVj39DgDg5ec+QGV1IazZw/8MfzKRr9JpobNaoM2ypHXSTFEUhF1uBO1OhNyeMd2BoUgSgv12BPvt0GRmQJ+bzfq/RCOgMY6vz5GCKEZ36mRmwAQg4vMj0NePoMM15rvERDF63TV1ZiW6O/qx5YN9+GT7YYRDg6/GVhQFwUD4jFI8g8krsGLOgjrMXTAJeQUDN0CNF0EUo3Xuc7PTaufGWBE1GphrKuFpaUfI5R7Sa2onl+K6W5dgzepNAIAXnnkXeflWlFYM3KzWb+uL1sMfx82CKfWkdQIfiJay2bdvH37961/jjTfeQFtbG7RaLWpra3HrrbfiwQcfhDEOk+W7776L9vZ2AMDtt98+rPr0jz76KN59911s27YNR44cQW9vLxwOB4xGI4qLi3H++efjzjvvxIoVK1LuAlkQBCy4aBrKqwrx7J/WoaujH+FwBG+8/CE+3nYYN955CWrq4ps4lGUFn2w/jLUvbEYgEAIQ3QJ325cuw6zzauN6roFw9X36MxYXQg5HhjyBJ4IgCJgyvQKTp5Vj54eH8NpLWxDwh+B1+/Hcnzfg8KfNuOWuZdBoR/52HLQ7obVaJsQFtaIoCPT2w99tG7Ntu0zi00SktZhhLC5gjc80IQgC1AY91AY9DLk50SaEXi9CLndKNCEcqnnnT8bhT5ux5+Nj8PuCeP6pt3H/t28YcUNCKRiCr9sGX7ct1nguFetMn4sUDCLY70DQ7jytCW2yhE80tVTp9TAW5HL1JxHFqI0GZBhLYCwsiCby++2QI2O/M6ygOBs3f2Eprrz+Ahz+tBk+bwChUDRBHwqGEQpFEAyGEQqGEAqe/D76dfJ7STr7NYbFasKcBXWYs2ASSsryxjR3o8uywFiYD5GfywYkiCIyKkrh77bB39M7pNdctHQm2ltt2PnhIUTCEp7+w5v4p+/dhkzzwNd9ntYO1sOnMZXWNfDpM/Guge9pPnOMcCiCN175EB9+sO+0m+pz5k/CsivOQ3Fp7qjOCwCN9R1Y+8Lm0xrB5Bdm4Z5/uAr5hWNzZxsAVDotLHU1KXdDhYZPkWW4GlsQ8fqSHQoAwOX0Ys2qTdi/uyH2WEl5Hu65/0pk5Yz8QljUamCtqxnXqzEigQC8bZ3xrfM7DIIoTugkPuvpxkeq18DXWs0w5OeyVMY4EmtCeCKZnypNCM/F7wvil//xPBz2aFPyq268EMtWnhfXc4gaNTQZJqiNRqhNBqh0upT5zCdLEkIOF4J2R9Lmu6FSG/QwFORxBWIK4pwdH/w9jpwiywg6XAj09kEKBJMdzrBEItLpSf1QGKIooqgkF6I4tnOF2miAqbgQamNi6+mPR0G7A562ziHtCImEJTz2y5fR0hjdMV9VW4SvP3QD1OqBK06wHj6N1oRpYkufGYsE/kltzT14+fmNsXIgJ02aWoaLL5+DydPKh/UGJssKjh9rx4cf7D8tqQkAcxfU4ea7liaua/s5mEqLoM8euxsGlFiKJMPd3Iqwx5vsUGL27DyKF/76XmxrpylDjy9+7QrUTi4d8ZiG/FwYCwfe7peOFEmG39YLv60v6Y0bBVGEuaYybVZvxhMvYuMjFRP4ovpEjeucbKj0Q99hSOlJDkcQ9ngQdnsR9vmSUrd4MA1H2/HH/30FigKIoohv/tstg25nHw1BpYLaaIjtYlAZ9GNackeOSNE60idusqTb5ZnaaICxqGDC3uBORZyz44O/x/gIe7wI9PYndVd0uhE1ahgLC6C1mpkcHoWw1wd3U+uQ+gS5nF78+r9egMsZzRlcsGQ6br5r2aCvM+TlsB4+jdiEaWJLyVFakY8HH74FO7YewFtrtsHnjd5RP3aoFccOtcKSlYFJU0oxaUoZaqeUItNsPG3SURQFbpcPvT0OHNzXhD07j8LpOD2xWlSSg+tuXYLaKSNPZo6UqFFDZ7WM+XkpcQSViMzKsmHVw0u0OQvqUFCcjb/84S302ZzwegL4069fxW33XI7zzp88ojH9tj5oreZxs3JWURQE+x3wd9tSonQA8Fk5HXNNJVS69K2nTCSq1dBkmqC1WqDJMPHicAIRNWrosqzQZVkBAFI4jIjXh4g/ACkQhBQIJL3kTk1dCZaumIf31++CLMv425/X46Hv356wBR2KJMXKw5wkqFRQ6XVQ63VQ6XUn+g5o41K+QJFkRPx+RLy+aBNIry/pN6hHI+Lzw9XQBK05E4bCfKh5I5CITqHJMEGTYYIUDCHQ24+g3TFmpTDTjSCK0Odmw5CXC0E1fndWjxWNyRhtbtvYAikUGvBYs8WEe/7hKjz2Py8jEpGwffMBFJfl4cKLZwz4OtbDp7HCBD6NiCgKuGDJDMxdUIePtx3Gpnf3oL/XBQBw2j34eNthfLztMABArVbBaNLBYNRDEID+PjdCwbOv9jJlGnDldRdgwaKpI653OlqGvNxxXYZkojpZD8/b1oGg3ZnscAAARSW5+NZ3b8XzT76NwweaIcsKVj31NoL+EC5aOnP4AyoKvO1dab+N72SzPl+XDVIw9bbcypEIXI3NsNRUQdRwGqXkEjRqICKd80JYUKkgatQQNRqotJpoyRCjgTegKEal0UBltZy2eEGWJMihEORQGFI4DDkcgRKOQI5Ev5SIlPAbqyuuPR/HDrehrbkHvT1OrH1xC269+9KEnvNUiiRFb2x8rgSfIIqxRP7J/1uiWg1BJUIQRQiq6HZ7RZajK+kVBXI4DCkUjv4+g6Ho3JbGCftzCbncCLk90VrNBfmcI4noNCqdFqaSQhgK8xDsdyDQ15+Su8CSRWsxw1iUn9ZN11ORSqdFZlU5XA2Ng/ZlKK8qwM1fXIbVT78DAFizahMKirJQPWngvo+sh09jgZ+qaFR0ei0WLZuFCy+ZgQN7G7F98wEcP9aOSPizN8ZIRILL6YPLefYa5KIoYvL0csxbWIdps6ug1SbvTU/UaqBj6ZxxSxAEmEqLIWq10aY2KXDxbDTpcd8DV2PN6s3YtnE/AOCVVRsRCIRw6RXDr/kb8foQtDvSsgRULHHf3QspkNo1muVQGK7GZphrKiGqBq6NSJRIWVMmAQAUWYEiS4ACQAAgCBAEgTekaURElQqiwQAYzl1zV1GUWCJfDn+WmJaDIUT8gVGvrlSrVfjCl1fgV/+1GqFgGDu2HsTkaeWYdV7tqMYdLUWWo30EUryXQNKc2D0XcrhgyMuBPi+H70NEdBpRpYq+P+RmI+RyI9DbnzL9ypJBbdBHy5BlmJIdyril0mmRUVkG9/GWQT+fzL9gCjrberHpnT2QZRnPPL4O//TdWwfsV6dIEjwt7Wm/kI5SGxP4FBeiKGLm3BrMnFuDcDiC5oYuHDvcipbGbng9fvh8Qfh9QUTCErJzM5GbZ0VOvgVFJTmYMacapozUaMpizM+DMMaNaWhsCYIAY0EeNBkmeFs7Bt1KNxZEUcSNd1wMg0GL99Z9AgB4a802BAMhXHH9BcP+EODr7IHWnAlRnT5v8SGnKy0S96eSAkF4mtuQWTW8vh9EiSCIAgQxff7PU/oTBAGCRh1dZf25viAnG+eGvT6EPd5oD5oR3DTPK7DihtuX4IVn3gMAvPS391FeVQBrNreppzpFluHrtiHQb4exMB9aq4VzJRGdRhAE6Cxm6CxmRHz+aHkdpyslFlmNBVGtgqEwH7osK98fx4DGaERGWTHcA/R7POmqGy9CZ3sfjh1qhdftx9N/eBMP/OvNAy42jXh98HX1wMR6+JQgvNKjuNNo1KidUnrW+vWKoqTs5KTS66DNYu37iUJjMsIyqRrezi4E+x3JDgeCIODKGy6E3qDFm69sAwC8t+4TqDUqLL964bDGUiQJ3o4uZJaPfQ+J4Qq5PfB32xDx+RMyvsvpxcF9jbB1O9Bnc6LX5oTX7UdWdiZyC6zIK7CiqCQXU2dWQDWClfRhjxfe9i5klBYlIHoiovQkCEK0KazRAENeDuRwGEG7E4F++7DLJcy/cCqOHGjB3k/q4fcF8dyTb+P+b98AFWsDpwU5HIGntQPq3n6uMCWic1IbDcgoL4ExnI+g3Ymgw5VWC3uGRRCide7zc7mTd4xpLWaYigvh7ega8DiVSsQXv7oSv/nZi+izOdHR2osXnnkPd31lxYD5rICtDxrWw6cEYQKfxlSqJu8BwFiQl9LxUfwJKhEZpcXQ52QhYEuNFR/LVp4HnU6LV1ZtBABseG0H9Hotllw2Z1jjhBwuhKzulP3wEPb54OvsSch2WVmWcfRQKz7acgAH9zZBPss2SY/bj9bmntifLVYTFi2bjQuWTIfBOLzme8F+O1R6LQy5OaOOnYhoPBI1Ghjyc6HPy0HY5Ya3s3vIiXxBEHDTF5aiubEbjn43Gus78PbrO3DF9RckOGqKp4g/ANfxZmjNmTAW5kPFRrdEdBYn5wtDfi6kQBBBpwshhxNSMPm7pkdLVKuhtWRCn5sNlY7vgcmiz82GFIo2VB6I0aTHvd+4Cr/9+UsIBsPY+/ExFJfmDlrmlvXwKVG4dIUI0Tv+Wsu5a5rR+KY2RFd8WKfUQp+Xk/QPVBctnYlrb1kc+/PaF7dgx9aDwx7H29EFRRpdDeJ4k8JheFra4apvinvyXlEU7NtVj58/8iz+/H+v4dPdx89I3qvUIswWEz5/r87p8OLNVz7ET773NF7/+1aEhrlC1NfRjZDLPdofgYhoXBMEAVqLGda6Ghjyc4e8cMJo0uOur6yAeKLM4XvrPsbRgy2JDJUSJORyw3HsOLztnQlvhExE6U2l18FYkAfr5FpYJlVBn5cDMc2SoqJGA31uNsw1lbBOnQRTSVHSrzUJMBYVDGmhW2FxDu64b3nsz+te3YZD+5sGfM3JevjKBCkFRWOHK/CJABgL85MdAqUAlUYTrVlXVAA5IiHi8yHiD0AOR6DIEpSIFG16oygnFuorUGT5s8fj6OLL5yDgD+LtN3YCAF569n3o9FrMHkbzPjkUhq+7B6biwrjGNhKKrCBg64Xf1hf33xUA9NqcWLNqI44cOD2hk2k2YsFFUzFpahly8iywWE0QRRHhcAR9Nid6Ou3YteMIDu5rhKIAoWAYG9/ejcMHmvHFr65EYfHQV9V7Wtphrq2CmqsKiYgGJIgijIX50GVZ4GntGFIZtcqaIlxx/QV485VtUBTg+afexrf/3x0wW1iSJe0oCgJ9dgTtzujOjNxsNrologGpDQaoDQYYC/MR8fkRcjgRcrpT8kagSquF1pIJrcUMtTE1ev3R6QRBQEZ5CVzHmwf9DDJjTjVWXHs+Nrz2ERQFeO7PG/DN796K/MKsc76G9fApEZjApwlPa85kPU46g6hWQWvOHHIJGlmSoEQiiHj9CLncCLs9o77rvvyahQgEQtj87l4oioLnn9qAjEwDaupKhjxGoM8OndWS1A+PYZ8P3rZOSIFg3MeWZRnvr9+Fd97ciUhYij1eO7kUi5bNOmdte41GjcLiHBQW52DWebWwddux+b192PnhQUTCEro7+vGbn76IG+64GAsumjqkVaKKLMPT3AZLbRUE1mYmIhqUSqeDuboCnpb2Ie1iumT5PBw/2oHDB5rhcfvx3JMb8PV/uh4ik79pSZFl+Lp6Yo1udVb2oiKigQmCAI3JCI3JCGNxISIeL4IOF0IuNxRJGnyABFHpddFrR4sZ6s81dqfUJIgiMivL4KpvghQauETTZVfOR2dbL/bvbkAgEMLTj72Bb/7brQOWXmU9fIo3ftqlCU0QRRhLkr86mdKfqFJBpdNBl21FZmUZsqZNRkZZCcQBOtUPRhAEXHvLYiy4aCoAQIrI+Msf3kRXR9/QB1EUeNo6ErLqfdBTSzK87V3RD0UJSN57PX488ZvXsO7V7bHkvcVqwt1fvwJff+h6zJhTPeTGtHkFWbjpzkvw0PdvR2FJdNV9OBzBi399D6v/8i6kIZYikoJBeNs7R/YDERFNQIIoIqOiFPqc7EGPFUUBt997eWzVfcORdmx4fUeiQ6QEk0PR8nrO+kaEffHvjUNE45MgCNBkZiCjrBhZU+uQWVkGrdUyZjt61AY9jIX5sNbVwFpXA2NhPpP3aUZUq5FZVQ5hkGtGURRw+z2Xxa4Tbd0OPPfkhrP2WjuV5/+3d9/hUVTrH8C/s71lU0lCekIIvUmRKqIoCHbFhggW7F673qs/+9V7VdTr9WJHQQTBgkhRepfeQYrUQAgJ6XWz9fz+WDISSDabZDeb8v08zz4sO2fOvJtM5sy8c+ack5lw1nFoVqKaMIFPrZohOpKTi5BfSEoFtKHB7nF+24TjgkHXva1HknDT2GHo2DURAGApt2LKR/NRVFjqdR3OCivKMrPqtf36speVo/DQEVTkeZ4cqL5OHMvGf96cjUMHTgJwn1RdMrwnnnl1LLpflFrvCamj2obhb8+PQf9Lusqfbdt4AN99vdTrJL61sAgVeQX12j4RUWskSRKMsdEwePGouSlIj7H3XSkf55f/uhV7dx71d4jUCBzlFhQfPo7SE6fgsjPhQUTekxQSNOYgBCXEIrRzGkwJse7e8EYDlDodlFoNFGqVO1Fbz+sEwD13nqFt1Nlx+VOgj4zgpNzNnFKrQVBSfK3Xj1qdBhMeHAWD0f37PrA3HYt+2ehxHfd4+BkcD598gkPoUKulMuihDa953DIiX5AUCvckOaHBKMs47dU4v+dTKhW4874R+PT9n5FxIgeFBaWY8r8FePjpG6HTa7yqw5pfCLXJBG2IfydrFi4BS/YZWHLq8JRAHW1a+wd+nr0aToc7oW4yGzBu4giktPd+aCFP1BoVbrrjUqSmxeK7qUvhdLiwa+shAMDtd18BpRfD45RnZkFl0EGl57iXRETe0rcJh3A6YTmT67FcSvtYjLphABbOWQ8AmDV1Kf7291s8jkdLzYe1sAi24pKz4+OHQ1LUP9lGRK2PpFBAGxLscVguIdxzmcF1dk4zlwtCnPd/lwDOvpeUCqjNQez810KpjQaYEmJRkp7hsVx4m2DcOXEkvvzvPLhcAisXb0dMfBv07NO+xnUc5RaOh08+wR741DpJEoyxbevdS5eorlQ6HcwpifUeA0+r0+DuR65GaLh7/dMZuZj+xW9w1mGsx7JTp+G0eh7fryEcFVYUHznmt+S9EAK/zd2AH2eslJP3Se3a4okXbvFZ8v5cPfq0x/gHRkGpcjeVu7Ye8ronvhACpemnILzstU9ERG6G6EhovLjZPPSKXuhx9oLZWmHHtE9/RYXFf20cNa7K8fGLDh2BvbQs0OEQUQsjSRIUSiUUahWUWg1Ueh3UBgPUJiM05iBoQ4KhCwuBLiLMfTMxPIzJ+xZOE2z26knA9h3jcfVNg+X/fz9tOU6dyPG4TkVOnldz/RB5wgQ+tUr6iDCOT0eNrnKcX21oSL3WNwcbcd9j18qP7f257yTmzFzt9SN5wulE6clT7t4kPiSEgCU3D8WHjsJhqfBp3ZUcDidmT1uGFYu2yZ8NHtYdDz51PYJDTH7ZJgB06pZ0QRL/h+krvPqZO202lJ1u3KGLiIhaAlNcTK2Tr0uShFvGXSaPR3smqwCzpi6Dy8dtHAWW02pD8dF097A6DkegwyEiohZM3yYcuoja5+QZfFl39BnQEYB73rSpn/6K0hLPT9pzPHxqKCbwqdVRGfTQR7UJdBjUSkmSBFN8jHtc/HqIjA7F+AdHywnlzb/vw8rF271e31FuQdmpTJ+Nw+e021Fy7ATKM7P9NrZfRYUNX01egG0bDwJwD1t5/a2X4LpbL/F6ktqGOD+Jv23jAaxeusOrda35hextQURUR5JCgaCk+Fongtdo1Rj/4CjoDe4b23/sOorF8zyPR0vNk7WwCIUHj8BaUBToUIiIqAUztI2q9al5SZJw4x2XIj7J3WO/ML8E0z/3/HQ8x8OnhmICn1oVhUoFU2Jco81MT1QTQ9uoet9ISmkfg1vHD5f//9vcDdh5dox2b1gLilCantGgnvhCCFTkFaDoz6N+fbS9rNSCz97/GYf2uyerVamUGHf/VRg0rLvftlmdTt2ScMfdV8r///XnDTiwN92rdcsyTrPXIBFRHSlUKgQlxtc62WBEm2Dccc9fk9quWLQNm9b+0RghUiOrfJKw5PhJtqtEROQXkiTBlBBb65OAarUK4x+8CuZgAwDg6KFM/PL9Oo/rVI6HT1QfzGJS6yFJMCXGcew6ajIMUW2gDavfhHu9+qZh5HX95f/PmroURw9ler2+rbgEJcdPuCdvqiOHpQLFR46j7NRpiDqMwV9XRQWl+OQ998S9AKA3aHH/E9ehW692ftumJ917p+KK0X0BuG9gzJiyGGeyCmpdz+VwoOwUh9IhIqorlV4HQ2REreU6dk3EdbcMkf8/57tVOPiHdzdZqfmxFZeg8OAR2IqKAx0KERG1QJVPAio1Go/lgkNMuOucJ7U3rN5TaycCjodP9cUEPjUeSYJKrwtY73djTBTURkNAtk1UE2NsNDTBtU/WV53LRvZGv0GdAQBOhwtTP1mI7Mx8r9e3l5ah+NgJuOzejcXntNpQduo0ig4fg6Pc8xh/DZWXU4SP35uD7NPu72MONuDhZ25EcmqMX7dbm+Gj+6FrrxQAQIXFhqmfLISl3FrreraiYj72T0RUD7rIiFp7wQHAoGHdMeTyHgAAl0tg+ueLkJmR6+/wKECE04mS9Ax3Z4J6dEYgIiLyRKFSISg5HlItQ7YmpkTjpjsulf//86zVOHb4tMd1OB4+1QcT+OR3Sq0GhrZRCO3UHsHtUxDapQNC0trBlBBX69hivqINC4EuvPbJSIgaW+WY+PW5ueQee28o0jonAAAs5VZ8+dE8FBWUel2Ho6wcBQcOoyQ9o9qhcIQQsBWXoPjYCRQePIyKvALAz+P2ZWXm4eNJPyE/192zLizCjIefuQnRMfWbN8CXFAoJt40fjrZnJ03MyS7E7GnLvRrLsCwzi4/8ExHVkSRJMMXFeNUB5OqbBss3Wa1WO6Z8NA+5Zwr9HCEFUkVeAYqPHIfTagt0KERE1MIotVoEJcXLw/TVpO/Azhh8dohXp9OFbz7/DYUersmF0+keDs6PT7NTy8MEPvmNpFQiKCkeIR1SoW8TDoVK5f5ckqDUaaENMSMoKR7mlESo9Dq/xaGLCIMxtq3f6idqKEmhgCkpHkqdts7rKpVKjLt/JGIT3OPpFxaU4sv/zYfFUnuvcJkQsBUVo/hoOgoPHkHx0XQUHTqKggOHUPDHQZQcPwl7ifc3BRri5PFsfPLeHBQXlQMAotqG4eFnbkR4m+BG2b43tDoNJjw0Ggaj+7j1x66j2OjFeMvC6UT56Wx/h0dE1OIodVqv5o1RKCTcfvcVSEh2TypXXFSOzz6YK98QppbJYalA0aGjHFKHiIh8Tm00wJgQW2u5q28ehNQOcQCA0uJyTPv0V9htNXfeclZUoPT4ST5FRl5jAp/8QmXQI7h9ilc97NUmI8ypyTDGxchJfl8xREfCGBNd6x1TokBTnL3hpVB5fkSvOjqdBvc8cjXCItxD8WSdysO0T36F3V733t5OqxX20jI4LBVw2eyNekJx5GAGPvtgLsrL3Dcf4hIj8dDTNyA4xNSgeiWFAkqtBmqjAZoQM7RhodCYg6Ay6KFQ1++YExZhxq3jL5f/P++HtcjKzKt1PWtBkV8n/SUiaql0EWFQefG0mkajxj2PXI3oGPeTl4UFpfj0g59RkM/xZlsy4XKhJD0DluycQIdCREQtjDbYDEPbKI9llEol7pw4AqHh7hxYRvoZ/Dhjpccnte1l5Sg9ccqrp7mJmMAnn9OFh8KckgSlxvvJYiVJgi4sBMEd2kEXEQY0NOEuSTDFx0LvxcRnRE2FUqOByYtH9KpjDjbivseukXuFH/nzFKZ//hscjubxWN7+Pcfx5f/mw2p1jwWY0j4GDzxxPYym2sc9ro5Co4YuPAxByQkI7dwBIR1SYW6XhKCEOJji2iIoKR7BqckI7ZSG0E5pMMZEezXG8rk6d0/GwKHdAAAOuxMzpizx6qYJx+slIqo7SZLcT1R60UYaTXo88MT1iIx2TxRfkFeCT9//2ePj7NQylGfnoOREBttZIiLyKX2b8FqHZTaa9Jjw0GioNe5OYts3HcSa5Ts9rmMrLkFZhucx84kAJvDJl86OUWqMbQtJUb8EvEKphDEmGsHtU6A2GetVh9pkRHBqErShTWfIDSJvqQ0GGOPrN1Frm6hQ3Pvo1dBo3TfP9u9Jx4wpi+F0Nu2L2K0bD2DqJ7/CYXffbOjULRH3PXYtdHpNnetSGfQwpyQitGN79wTBQaZaj0cKtQq6iDAEpyYjpEMqNCHeTyp89U2D5F6eWafysPCn32tdx2m1wXKGEysSEdWVSqd1d/TwgslswANPXo82USEAgPzcYnw86SecySrwY4TUFNgKi1F85Dhc9XgSkYiIqCaGmKhaR5mIiYvAbROGy/9f+NN6HNx3wuM61oJClHGoVaoFE/jkE5JSCXNyArRhIT6pT6XTwpySiOC0FOjCQ72auEyp0yEoOeHsmPr167VL1BRoQ4K9Guu3OgnJ0bjnkauhUruH4tm74yhmT10GVxPsiSaEwPLftlaJr2ef9hj/4Ci514K3lFoNTIlxCE5NrvfNv8p6ghLiEJQY59XwOmqNCmPvGyH/vH9ftQf79xyvdT1LTh4cFXWYp4CIiAAAhsg2UKi9e8rTHGzEA09cL8+jUpBXgv+98yOOHc70Z4jUBDgsFSg6coyT2xIRkc9IkgRTQmytT253vygVl4/qA8B9zTvjy8XIPVPocZ2KnDx28iKPmMCnBlNqNQ1OmtVEpdPBGNsWIZ3ay0PiaEKCoTLoodLroA0LgTE2GubUJAS3T4YmqGFjZRM1FYaoNvV+iqRdWiwmPDQaSpX7EL9jy5/4/pvlTaonvsvlwpzvVmPRLxvlzwYO7Ybb77kCSmXd5gHQhYchOK0dtMHe95yvjSbY7K7Ti99BdEw4rh0zRP7/j9+uQHlZheeVhED5KT4qSURUV5JSAUOM53FozxUcasJDT9+AmHj3sIqWcis+/88v2LXtsL9CpCbCZbOj+MgxOCyWQIdCREQthKRQICgpHkqN56fFr7z6YnTungTAfe4x9ZNfUVHh+aZyedYZVOQX+ihSammYwKcGUQeZYG6XDKW27kNd1IVCqYQ2NBiG6EgEJcQiODUZwe1TYIqLgS48DGqDgRPVUotjjI2p942xDp0TcNf9V0Fx9umVbRsPYtqnv8Jms/syxHqpsNgw7dNfsXHNXvmzUTcMwPW3XSLH6xVJgjGuLYyx/pmoWqFUwhQf69VwDf2HdEHHLokAgOKicsydvabWdexl5bAWFDU4TiKi1kYbbK5T+xgcYsJDT9+ItM7xAACHw4kZXy7CkvmbmuQTauQ7LocTxUfSYS/h/AdEROQbCpUKQcnxkDx0PFMoJNx+95XyfDzZp/Mx6+ulcLk8T1hbduo0bEXFPo2XWgYm8Kl+JMmdTE+Kh0JVt96yROQdSSHBlBgHpU5br/U7d0/GnRNHyD3x9+85js//80vtvcP9KPt0Pv777++xb/dxAIBSqcDtd1+BYSN61ykJr1CpYE5JhC4s1E+R/sUYE11rEl+SJNx85zDoDe7f1Y7Nf2LPjiO11l2elQ2Xs3lMNExE1JTU9eatTqfBPY9cjb4DOwEAhACWLtyCzz6YiyJObtuiCZcLJcdPwlZcEuhQiIiohVBqtQhKivd4LqLTazDhodHyNeIfu45h2cLNnisWAqUnTsFeWubLcKkFYAKf6kyhdifO9JER7PVO5GcKpfLsjbK6jQlfqVuvdrjv0Wuh1bnHC04/moWPJ81BQV7j39Xfs+MIPvr3D8jJLgQA6A1a3PPoNbjo4g51qkehVsGcmgS10eCHKKvnTRI/ONSE6269RP7/TzNXobTE82P7LruDYx0SEdWDUuv9hLbyOkolxoy7DFdd318+hz16KBPv/3MW9u0+5o8wqYkQQqAkPYNJfCIi8hm10QBTQqzHMm2iQjD23ivl846lC7fU2tFLCIGS4yc5BBxVwQQ+1Yk2LATB7VMaNXFG1NopNRoEJSd4fETPk9SOcXjoqRthMrv/brNP5+ODN2dj786jvgyzRnabA/N/XIdvPvsNVqt7CJ+2seH42z9uQVqn+DrVJSmVCEpOrHXMQX8wxkRDF+65x/9F/dLQpUcKAKCsxII5M1dBCM+PSVbk5nNCWyKietBHtvFqwvFzSZKEy0b2wUNP34DgUPfcSeVlFfj644X49otFKMxngrfFqkzic2gCIiLyEU2wuda5eTp0ScSoGwbI/581dRlOn/LciUu4XCg5dgJOK68TyY0JfPKKyqBHcPtkmOJi6t0TmIjqT6XXwZycAKkuY8SfIzahDR599iZEtHFPymopt2Lap79i7uw1cNj9N4SLu2fjd1izbKf8Wc++7fHoczfLsXhLUihgTk6Aqp5DCvmCoW00VAZ9jcslScJNYy+FwagD4H7qoNaJEoVAeWaWL8MkImoVJKUChujIeq2bnBqDp/7vNnTpkSx/tmvbYbzz6gws/3Ur7HaHr8KkpkQIlJw4BSuT+ERE5CP6iPBanwocekUv9OqXBgCwWe2Y+smvKCut5WlthxPFx07AZQ/8PHYUeEzgk0cqgx6mhFiY2yVBpa85aUVE/qcy6N3j7NUziR/eJhiP/X0MuvZKkT/7feVu/O+dH5F+1LcJZEu5FXNnr8Gn789B7hn3RK0qlRLXjhmCO+65Ehqtum4VSu75ADwlzxuDpJBgSojz+DREkNmAG++4VP7/3FmrUVpc7rFee2kZrIWc0JaIqK40IcH1bhsMRh3GPzgKY8ZdBqPJfePVbnNg0byNePvlb7FqyXZYLOz51uKcHV+Yw+kQEZGvGNpGQWMOqnG5JEkYc+dliE1oAwDIzy3GtE9/hc3qOTnvstndSXwH501r7ZjApwtICgV04aEIbp+C4NRkaEOCOdY9UROhNhlhSoyr99+kwajDXfdfhRtuHwrV2QmoT53Mwf/e+RHffPYbcrILGhRfeVkFFs/fhLdenIbfV+5G5egxiSnRePL/bsOQy3vUK3ZTXAw0QaYGxeYrSo0apvgYj2V69E5F94vaAQDKSivw86w1tdZbfjobwunySYxERK2FJEkwxkQ3aP1+gzrjudfuxKBh3aFQuNuoooJSLJyzHm/+Yyrm/7gO2afzfRUyNQVCoDQ9A7YSTmBMREQNJ0kSTAmxHjsVqDUqTHhwFExB7jLHDp/GV5MXwGbznMR3VlhRcvwEhIvXiq2ZJGobnJeahbi4OJw6dQqxsbHIyMgIdDhE5Gf2klKUpGc0qBHPzMjFzClLqiQlFAoJF13cAb36pqFdhzgolbXf5xVC4NSJHOzadhgb1uyBteKvExC1WoWrru9/NilSv3vGuoiwBiVn/KXsdDYqcvJqXF5aXI53X5uJ8rIKAMCdE0eiR+9Uj3Xq2oTD2NbzGIqBwnbGN/hzJPKP0pOZsBYUNrie06dy8dvcjdi/5/gFyyKjQ9G1Zwq69kxBTHwbr9rI+rLbHSgtLkdpqQVlpRUoL61AeXkF7DYHbDYH7DYHnE4XFAoJkiRBoZCg0aphNOlhNOpgNOkQEhaE0PCgere/rYGkUCAoKR5qkzHQofgU2xrf4M+RiOrK5XCg+MhxOK22GstkpJ/BZ/+ZiwqLu0xqhzjc/choaDSen1JXB5kQlBgPScEOti1FXdoZJvBbCJ5cELU+DksFSo6fgKsB4/Q6nS5s/n0flizYfMEwLwajDl17piAhKQohYSaEhAbBaNKhrLQCRUVlKC4qw4mjWdi3+xiKCsuqrKtQKNBnQEdcflUfhEWY6x2f2mhAUEpik3wKSAiB4iPH4SiveezCnVsPYcaXiwEAxiA9nnn5DrnHRbUkCcHtUwI6zn9N2M74Bn+ORP7hcjhQePAIhNM3j5ifySrAmuU7sW3DATiqeWxdrVYhJj4C8YmRiI4NR3CoCcEhRpiDjdDptXJivZLT6YTN5oC1wo6ys0n5slILSovLUVxUjuKz7WrJ2feWct8M3aNUKRAeEYw2USGITYhEYnIU4pOjoNc3vXYmUCSFAkHJCVAbDYEOxWfY1vgGf45EVB9Oqw3FR455HPbm5PFsfP6fX1BR4U7it+8Yj7sfHg21xvOck5qQYJjiY5rk9THVHRP4rRBPLohaJ6fN7pPZ6a0VNqxZvhOrl+6o0oO+rpRKBfoO7ITLRvZGaHj9E/cAoFCrEdw+uUlPnO2ssKLo0FHU1JQKIfDNZ79h786jAIAefdrjzvtGeKxTbTLCnJLo81gbiu2Mb/DnSOQ/Fbn5KPPxpOClxeXYvvlP7N15FMePZMLbKydJAhRKBZRKJRx2J1xN6LF3SQIi24ahQ+cEdOqahKTUtvKweq2VpFTCnJIIlV4X6FB8gm2Nb/DnSET1ZS8vR8lRz8PenDiWhc8//EW+/k7rHI8JD42GWu35+lcXHgpjbFufxkuBUZd2pulmRYiIqFZKjRrmdkkoPXkK9gaM46rVaXDF6H4YekUvHNiTjt3bD2PfnuOw22rv3a9SKZHaMQ6duyejS49kmIMb/hi6JEkISoxr0sl7AFDqtNBHtUF51plql0uShBtuH4qjh06hvMyKXVsPoVuvdh6H0qmc0FYbEuyvsImIWiRteCisBYVwWCp8VqfJbMAlw3vikuE9UVJcjr07j+LIwQxknMhBXk7Nk48LATgdLjgddUvcq9UqBAUbYA42IshsgClI7x4Wx6SD3qiDVquGWq2EWqOGSqWAyyXgcrngcgpYrVV79+flFiE3uxC5Z4qqPEUgBJCdmY/szHysWbYTWp0aHTonoGffNHTqmgSVuvUl84XTiZJj6TC3S4JSy6cTiIioYdQGA0zxMShJrzkpm5Acjfv+di2+/HAerFY7/tx3EtM+/RXjHxzlMYlfkVcASaWCIaqNP0KnJqppZ0aIiKhWCpUS5uQEVOTmuydCbcCDVRqNGt17p6J771TYbHYcO5SJ/LwSFOaXoLCgFOWlFTAG6WAOdg8TEBZhRru0WGh1Gh9+I8AQG+1xAqCmRNcmHLai4hoTRuZgI66/bShmTlkCAJgzcxVS2scgyFzzo/rlp7OhDjJBoWx9SRQiovqSJAmG2GgUHz7ul/qDzAYMuKQrBlzSFYB74vaM9DPIzSlCcaF7CJyiwlLYrA44HU44XS44nS6oVEpoNCqoNWpoNCoYTbqzSXk9TEF6d5saYkRQsAE6ncbnj8W7XAL5uUU4cSwb6UezkH4sC5knc+XzBWuFHbu3H8Hu7UegN2jRrVc79BnQEUnt2raqR/RdDieKj55wJ/FrGYeYiIioNppgM4wx0R6fDkxKaYt7H7sWX340DzarHQf/OIFvPvsN4x8Y5fGGuiU7BwqlErqIMH+ETk0QE/hERC2ELiIMKqMBpSdONXhIHcCdzO/QpfGHctGGhUAXFtro260vSZJgjGuLosPHUdPYCj37tMfeHe7kSHlZBX6asRLjHxxVY2LEZXeg/HQ2THExfoyciKjlURsM0IaFwJpf6PdtGYw6pHVOQJrft9QwCoWEiMgQRESG4KKLOwBw33w4uO8EDuxNx4G96fKE65ZyKzb/vg+bf9+H6NhwDBzaDb36pUHn4xv1TZXLbpd74jf1pwCJiKjp00WEwWm3oyInr8Yyyaltce+j12DK/+bDZrXjwN50TP/iN4y7/yqPQ9yVZWZBUin55HYroQh0AERE5DsqvQ7B7ZOhj2oDSdH8DvEqvQ7GmOhAh1FnKr0e+jbhNS53D6VzKYxnJ7D9Y9cxbN900GOd1vxC2EvLPJYhIqILGaIjIfEJJo8MRh169U3D7XdfgZffuQf3/e1aXHRxB2i1f/U8zzqVhzkzV+Gff/8a875fi4L8kgBG3HicVhuKj56Ay0cTIhMRUetmiI6EJtjz/HAp7WNwzyNXy5PY7tt9HN9+sajKEHjVKT2ZiYpG6LRAfxFOF5w2W6Nvt/lld4iIyCNJoYAhqg2C09pBE9KwiWQbk6RUwpQY1yxvPACAPjICSm3NPRRNQXrcPHaY/P+5s9egsMDzvAWlGZkeJz4iIqILKVQqGNpGBjqMZkOpVKBD5wR3Mv/de3Db3VcgMeWvm+nWCjvWrtiFf//fdHz39VJknaq5F2FL4ayoQMmxExBOtsFERNQwkiTBFB8DlbHmIVQBoF1arDuJf3b8+z92HcOMLxfD6emGshAoy8hESXoGXI7a56+j+hNOFyxnclFw4BDspeWNvv3mmSUhIqJaKTVqBCXEwdwuqdaThabAlBALpab5PqIvKRQwxrb1WKZrzxR5+IIKiw2zpy2Dy1XznAUum73GCXKJiKhm2tAQqE0Nn1S9tdFo1Oh9cQc8+tzNeOLFW3Hx4M5yIsHlcmH7poN4743vMPWTX5GZkRvgaP3LUW5BSfpJ3kgnIqIGkxQKBCXGe+zwBQCpHeJw9yOj5fHv9+48ihlfLvGcxAdgKypG0aGjsJV47iBGdSdcLlhy8lB48BDKs85ABOgJPSbwiYhaOLXRgOB2SQhKiodKrwt0ONUytI2CJsgU6DAaTG0yQhvqeQzC624ZguAQd1Lp8IEMrFm2w2P5itx82Msb/w4/EVFzVjk/SXN9qqspiI1vg5vvvAwvvDUew0f3hcGolZf9sesoPvjnLEz7rGUn8u2lZSg9cQrCw812IiIibyhUSgQlJUDhYVx7AGjfMR53PzRaHv9+z44jmDllKZy1PBXmsjtQcuwEyk5l8eazDwiXC5bcPBQeOIzy09lw1TKckb/xjJaIqJXQmINgTk2GKSEWCo269hUaiTYs1OP48c2NoW2Ux7GXDUYdbptwBSrnr/1t7kacTM/2WGfZicyAnzAQETU3So0GhmgOpdNQpiA9RlxzMV54czyuHTME5uC/nmzYu8OdyJ/x5WLknikMXJB+ZCsuQemJDIgaJqonIiLyllKrQVBSQq0dDNI6J2DCQ6PkJP7u7Ycx6+vak/gAUJGXj6JDx+CwVPgk5tZGuAQqcvNRePAwyjOzm8zQREzgExG1IpIkQRsSjJC0du5J/gLcM1FtMsIY2/wmrfXEPfZylMcyqR3jcOmVFwFwD0kw88slsFbUPBGO02Zj8oCIqB604aFQN4Nh5JoDrU6DIZf3wN//OQ7X3ToE5uC/fq47tx7Cu6/OxE8zV6GosOU9vu9O4p9iO0xERA2mMui9mvutQ5dEjH9wFJQqd7mdWw9h9tRlcHnRu95ptaLo8DFYzuSy7fKScAlU5BWg8OBhlGVmwWVvGon7SkzgExG1QpJCAX1kBEI6ptY65Iu/KLVa94lLZVf0FkQbGlzrvAMjrr0Y8YnunqG5OUWYO3uNx/L20jKUn/bcU5+IiKpyD6UTE/Ab1i2JWq3C4GE98Pc37sK1Y4bAGKQH4L4hvXHNXrz90rdYNG8jKjzcmG6ObEXFKD3JJD4RETWcJsiEoOQEj09uA0DHrom46/6roFS6z2N2bPkTs6ct9yqJDyFQnnUGJUfT4bTZfRF2iySEQEV+AQr/PIyyU6fhsjfNnxXPZImIWjGFSgVTfCyCkhMadVgdhUaNoOR4KGo5YWmuJEmCKbatx5sTSqUSd9x7JbRa989964YD2LbxgMd6K3LzYS0o9GWoREQtnlKrqfXJKKo7tUbl7pH/xjhceU0/uT2z2x1Y/utWvP3SdGxYs9erx/2bC1vh2SQ+x8QnIqIGUhsNMKfUPiZ+5+7JGHdOEn/7poP4/psV3iXxAdjLylF06CisBUUNjrklEULAml+IooNHUJZxGq4mfpOjRSTwT5w4gWeeeQadOnWC0WhEWFgY+vXrh0mTJqG8gRP/vfrqq5AkyavXqlWraq0vLy8Pr7zyCnr06IHg4GCYzWb06NEDr7zyCvLy8hoUKxFRfWmCTAhp3w668DC/b0up1SK4XRKUGo3ftxVISp0W+sgIj2UiIkNw/e1D5f//OGMlTp3I8bhOWcZp2Ms4qS0RUV3owkOhCQnME2ctnU6nwRWj++Hv/7wLg4d1h+Ls0w6lJRbMmbkK77/xHfbvOd5ieq7bCotRkn6SEwQSEVGDqfR6mFOSoFCrPJbr0iMZd04cKbex2zYewI/froTLyxvKwulE6clTKDmRAZezdc+tJoSAtaAIRX8eQWlGJpy25vHEYLNP4C9cuBDdu3fHe++9hwMHDqC8vBwFBQXYsmULnn32WVx00UU4evRooMMEAGzZsgXdunXD66+/jt27d6O4uBglJSXYvXs3Xn/9dXTv3h1bt24NdJhE1EpJSgWMsdEwpyT6Lbmu0utgbpcIhbrpTKLrT7rICCh1Oo9lel/cAf0GdQYAOOxOTPvsV5SVWmosL4RA8dF0WHLyWkwyhIioMZhi20Kpbdk3jwPJFKTHdbdegmdfvQPdL2onf34mqwBfTV6AL/47D6dP5QYwQt+xl5Si+Gg6J5gnIqIGU+q0MHvRwa1rzxTcOXEEFAr3U95b1u/HTzO8T+ID7pvQRX8ehb20rEExN0dCCFgLi1D051GUnjwFp7V5JO4rNesE/q5du3DLLbegqKgIJpMJb775JtavX4/ly5dj4sSJAICDBw9i9OjRKC1t+GRKe/bs8fjq27dvjeueOnUK11xzDU6fPg2VSoXnnnsOa9aswZo1a/Dcc89BpVIhMzMTV199NU6dOtXgWImI6kttMiI4LcXnvfFVBj2CUhKhUHnuXdCSSJIEU3xbwMNQOpIk4YbbhiI+yT28Q0FeCWZ8ucTzkANCoPx0NkqOn4TLUfPkOk6bDbbiknrHT0TUkkhKhVeTxlHDRESGYNz9V+GR525CYspfE9Uf2n8SH/xzNn78dgVKi5v/k2SOcguKjx5vsmPlEhFR86HUaNxJfJ3WY7luvdph7L1/JfE3/74Pc75bVackvstuR/HRdJSdzm4VQ8I5rTaUZ51B0cEjKD1xCk6rNdAh1UuzzqI88cQTKC8vh0qlwpIlSzBgwAB52WWXXYb27dvjueeew4EDB/D+++/j5ZdfbtD2unbtWu91X3zxRWRnuycfnDlzJsaMGSMvGzJkCPr06YNbbrkF2dnZeOmll/DVV181KFYiooaQFO7e+JoQM8pPZ8NRXnOP8Nork6CPjIC+TQQkRcubsLY2Kr0e+ogwWHJqHiZNpVbirgeuwodvzUZpiQWHDpzEol82YvSNAz3WbS8pRdGho9CFhUKh0UChUUOpUcNhqUBFXgHsJaXQBJuhMQf5+msRETVLKp0OxtholJ7MDHQoLV5SSls88uxN2L3tMBb+vB4FeSUQQmDTun3YufUQLr+qL4Zc1gMqdfOdD8dZYUXRoWMwJcRCbTIGOhwiImrGFGoVzClJKDl+wuP1d/feqXAJgZlTlrjb1bV/ID+nGLeOvxzBoSavt1eRkwd7SSlMCbFQ1fLUeHPjcjhgKyyGtbCoYbmMJqTZdj/ZsmWLPOb8vffeWyV5X+npp59Gp06dAAD/+c9/YA9Q74js7Gx8++23AIARI0ZUSd5XGjNmDEaMGAEA+Oabb+RkPxFRIKmNBpjbJcGUEFuvSW5Veh2CU5NhiGrTKpP3lfRRbWodtiEk1IRx9/81ruGqJduxae0ftdbtsjtQnp2D0pOnUHzkOAr2H0LJ8ZOwlzT8yTMiopZIGxoCXYT/53wh91NmPfq0x7OvjsWoGwZCq3OfS1gr7Pj15/V497UZ2LPjSLMeEs7lcKD42AlYcjmfGRERNYxCpYQ5ORFqo8FjuZ592uP2e66AdPZJ70MHTuK9N77D7m2H67Q9Z4UVxYeOwZLb/IdnFS4XrIXFKDl+EgX7D6EsM6vFJO+BZpzAnzt3rvz+7rvvrraMQqHAXXfdBQAoKCjwapJZf5g3bx6cZyeJqClWAJgwYQIAwOl0Yt68eY0RGhFRrSRJgjYkGCFpqTDGtnX3MPMwJAwkCWqTEca4tjCnJkOlb1l38+tDUihgjI/x/HMDkNI+FteOGSz//6eZq7BnxxF/h0dE1OoY2kZxUttGpFarMGzERXj+9XG4eEgXOeGQn1uMbz77DZ++/3Otk7g3aUKgPDMbJSdOtfrJAYmIqGEkpQJByQlQB3nuTd+rbxomPn4tgkPcT4BZyq2Y/sUizJq6DBUW78d3F5Vt2LETsBYWeRyitakRQsBeWobSk5ko2H8IpScy3EPINvObEdVptgn8tWvXAgCMRiN69+5dY7mhQ4fK79etW+f3uKpTGStQNZ7zNYVYiYhqIikk6MJDYU5JRGjnNJjiY6GLCIMuvPIVCmNsW4R2ag9zSiJ0YaHyBToBaoMBhqg2tZYbNKw7hl7RC4D7hGTGlMU4fDDD3+EREbUqkiTBFBdT68Ux+VaQ2YCbxw7DEy/eitQOcfLnRw9l4sN/zcYP01egpBmPj28rLELRwSOwFhQFOhQiImrGJIUCQUnxtXY2aN8xHk+9dDu6X5Qqf7Zt4wG8/8/vcOxw3YYLtJeWofTEKRTs+xNFh46iPOsM7KVlTXKcfEeFFeWns1F44DCKj6bDWlAI0cJvoDfbBP7+/fsBAKmpqVB5mBCxY8eOF6xTX1dccQXCw8Oh0WgQGRmJSy+9FP/+979RUFDgVazBwcGIjo6usVzbtm1hNpt9EisRkT8plEpoQ4NhjImGMbby1Ra68NBWNUltXenahHs1Ru6oGwaid393++V0uDD1k4XNu2ciEVETJCkkBCXGQVXLY+rkezFxEbj/iesw/sFRCG/jTk4I4Z6M7+2Xp2Pl4m2w25tPD8BzuRwO97B2R9PhqGieE+UREVHgSZIEU3wMtGGhHssZjDrcOXEEbpswXB6qriCvBJ+89zN+m7sBDkfdE9sOSwUsZ3JRfDQdBfsOouT4SVTk5sNp9b5nv6+57A5YcvJQdOgoiv48AktOXquaSL5ZJvArKiqQm5sLAIiLi/NYNjQ0FEajO1ly8uTJBm132bJlyM/Ph91uR05ODlavXo1//OMfSElJwS+//FLjepXbrS1WAIiPj/dJrERE1PRUnoQpVJ4n7FMoJIwZNwyduiUCcI8V/PmHc3HiWFZjhElE1GpU9nBTGfSBDqXVkSQJXXum4JmX78DVNw2CTueeK8Y9Pv4GTHptJnZvP9xsx+S1l5ah6NBRlBw/CVtxSbP9HkREFDjuJwbbQtcmvNZyvft3xFP/dzuSU2MAuJ/mXrFoGya/8yPOZHnueOyJcLlgKy5BWWYWCg8eRsGBQyjNOA1bUbFfh41zOZ1wVlhhLShy30g4cAjlp7PhsFT4bZtNWbPsJllSUiK/N5lqf+zVaDSirKwMpaX1m9CvW7duuP7669GvXz/ExMTAbrfj4MGDmDFjBpYsWYLCwkLcdNNNmD9/Pq666qoa4/U2VgC1xmq1WmG1/tWjgyeERETNg0KthjEuBiXHPd+oVSqVuHPiSHz+n1+QfjQL5WVWfPrBXNz1wFXo2CWxkaKlhmJ7TdT0KZRKmFMSUZqRCVthcaDDaXVUaiWGXtELvS/ugMXzN2HTun0QQiA/txjTP1+ElPYxuGbMYMQlRAY61LoTArbiEtiKS6BQq6AJCYZKr4dSp4VSq+FQg00M22wiaqqMbaOgUCpRnnXGY7mwCDMefOp6rFqyA4vnbYLL5ULGiRz8583ZuPrmQRhwSdcGtz0umx3W/AJY8wsASYLKoIfaZIQ6yAiVXu+xfiEEhMMJl8PhftkdEA4HXHY7XJWf2+0QDieEy9WgOFuaZpnAr6j4626LRqOptbxWqwUAWCx1n334iSeewKuvvnrB5xdffDHuuusufPbZZ3jwwQfhdDpx33334fDhw9Drq/bgqYzXl7H+61//wmuvvebltyAioqZEYw6CPjICljO5nstp1LjvsWsx9dOFOHLwFOw2B76evBC3Tbgcvfp1aKRoqSHYXhM1D5JCAVN8LCwaTa3HZvIPk9mAm8YOw4Ch3TD/x3U4fMA9/8vRQ5n477++R58BnTDyuv4wB9c+FF1T5LI7UJGTJ/9fkiRIahXgEu6EhsuFsC4dISmY1A8UttlE1JTpIyMgKRQoy/T8VLZCocBlI3sjrXM8vvtqKc5kFcBud+Dn71Zj/57juOWuyxFk9tHwgULAUVYOR1k5LNk5kJRKqE1GqAx6CKezapLe4YDL4WyRE8w2hmY5hI5Op5Pf22y1j79UeRf9/MS6N0JCQjwuf+CBB3DfffcBADIzMzFnzpwLylTG68tY//GPf6CoqEh+xcTE1Fo3ERE1HfqoNrVOSgQAOr0G9z56Dbr1agcAcLlcmPnVUixduAUu9kpo8theEzUfkiTBEB0JU3wsJEWzvExqEWLiInD/49dhwkOjERH51/j4W9bvx9svf4tlv26B3dY8x8c/lxACLpsdLofDPfEeExoBxzabiJo6XUQYTPExgBe96OMSIvH4C7dg4NBu8mcH9qbjvTe+wx+7jvklPuF0wlZUjPLT2bCcyYU1vxD2klI4LBVw2R1s6xqgWZ6ZBgUFye+9GRanrKwMgHdD2NTHAw88IL9fvXr1Bcsr4/VlrFqtFmazWX7x8UsioubFPZ5hDNReTJ6oVqtw58QR6H9JV/mzJfM34bMP5qIwv8TDmhRobK+Jmh9taDCCO7SDxhxUe2HyC0mS0KVHMp5++Q5cc/Ng6PTuJ5ltVjsWz9uEd175Fts3HYTLxUQA+Q7bbCJqDrShIQhKiPXqGKXRqHHD7UNxzyNXw3S2131ZiQVTP1mIH79dAWtF4Calpbpplgl8nU6HiIgIAEBGRobHsgUFBXJSvHKCWF/r3Lmz/P7UqVMXLK+cvLa2WIG/Jq/1V6xERNR0SAoJpqR4KM8On+aJQqHAjbcPxcjr+ssna0cPZeL9f87C7m2H/R0qEVGrolSrEZQUj6DEOCjUzXLU0RZBpVLikuE98fc3xmHg0G5QnB1eprCgFN99vRT/e/sHHDucGeAoiYiIGpcm2IygpHivnxjs1C0JT790O7r0SJY/27RuH/7z5mycOOZ5SB5qGpplAh8AOnXqBAA4fPgwHI6aH6E8cODABev4Wm2T21Qm+IuKipCVVfMfxunTp1Fc7J44y1+xEhFR06JQKhGUHO9VgkiSJFx+VR889PQNCAlz9wy1lFsx/YtF+Pw/v+Dk8Wx/h0tE1Kpogs0I6ZAKU1wMVHpd7SuQXxhNetxw+1A89X+3o2PXvyZyP5l+Bh9PmoPpn/+G3JyiAEZIRETUuNRBJgQlJ0BSKr0qbwrSY/yDozBm3GXQaNUAgNycIkx+9ycsXbgZTieHZ23Kmm0Cf/DgwQDcQ85s27atxnLnDmkzaNAgv8Syb98++X114+RVxnp+POdrjFiJiKjpUWo0MLdLhlJb+2TnAJCcGoMnX7wV3S9KlT87dOAk/vvvHzDts19x+hQnYCQi8hVJoYA2LATB7VNgbpcEbWgIFGp1oMNqlaJiwnDvo9fgvr9di+iYMPnz3duPYNKrMzD/x3UoL6sIYIRERESNR200ICQtBWqTdxO8S5KEfoM648kXb0VCchQAwOUSWDJ/Mz6e9BNysgv8GS41QLNN4F9//fXy+6+//rraMi6XC9988w0A92S0w4YN80ssn332mfx+6NChFyy/9tproTj7WEtNsQLA1KlTAbiHSbj22mt9GyQRETVpSo0a5nZJUBm8m3DdYNThzokjcMe9VyIswix/vnfHUbz/xiy8/89ZWLFoK3J5EkZE5DNqowGm+BiEdmqPkA6pMMa2hTYsBGqTkUn9RtShcwKeePE23Dx2GExB7nbT6XRhzbKd+PdL07Fm2U447M4AR0lEROR/CrUaQckJMMZEez13R0RkCB5+5iZccXU/eXi6E8ey8e6rM/HV5PnYt/sYXC72yG9Kmu2Ajv369cOQIUOwdu1aTJkyBePHj8eAAQOqlHnvvfewf/9+AMDjjz8O9Xkn1VOnTsXdd98NAHjllVfw6quvVlm+Z88e6PV6pKamoiafffYZpkyZAgCIjo7GDTfccEGZ6OhojB07FtOnT8fixYvx448/4uabb65S5ocffsDixYsBAOPGjUN0dLQXPwUiImpJFCoVzMmJKDmRAXtJ7ROfS5KEXn3T0K1XO2xetw/Lft2CkuJyAMDpjFyczsjFb3M3IrlTIsY9ezuSOib4+ysQEbUaSq3m7JNTofJnwiUgnA4IpwvC5YJwOt3DbQoBAQCus+/FX/8K1zllnS64HA4IhwMuhxPCySR0TZRKBS4e0gU9+rbHqsXbsXrZDjjsTljKrZj/4zr8vmo3rrp+ALpflConJ4iIiFoiSZKgiwiDymRE2clTcFhqfxpNqVTgyqv7oWOXBHz31VLk5hRBCIH9e9Kxf086gkNN6DeoM/oN6oyQUFMjfAvypNkm8AHgww8/xKBBg2CxWHDllVfihRdewLBhw2CxWDBr1ix8/vnnAIC0tDQ8/fTTda5/27ZtuO+++zBs2DBcddVV6NatG8LDw+FwOHDgwAF8++23WLp0KQBAqVTis88+g9FY/WMrb775JhYtWoScnBzcfvvt2Lp1K66++moAwIIFC/Dee+8BANq0aYN//vOf9flxEBFRCyApFQhKioclOweWM94NhaNSKTHw0m7oM6AjNv++Dzu2/IkTx/4aD//Y/nSYedJFROR3kkKCpFADPuqM73I64bLZ4LTZ4bLa4LRa4bBY4bRagVrm4WotdDoNRl7XH/2HdMGieZuwfdMBCAHk5xZjxpeLsTpxB66+cSDadYgLdKhERER+pdJpYW6XDMsZ768lE5Kj8cSLt2Ltil3YtPYPFBa4O5IVFZRi6YLNWLZwCzp1S0L/IV3QoUuCPMIINa5mncDv1asXZs+ejTvvvBPFxcV44YUXLiiTlpaGhQsXIigoqF7bcDqdWLZsGZYtW1ZjmfDwcEyZMsXjsDfx8fGYP38+rr/+emRlZeHtt9/G22+/XaVMdHQ05s6di7g4nlwSEbVmkiTBEB0JtcmI0pOn4LLXPFn7uTRaNQZf1gODL+uB/Nxi7Np2CLt3HIU+2ISwqLDaKyAioiZFoVRCoddDpa86vJoQAs4KKxzlFjjKy+Eot8BptQUoyqYhJCwIt00YjiGX9cCCOb/j8IEMAEBG+hl8+sFcdOySiKtuGICYuIgAR0pEROQ/kuLstWSQyX0tabPXuo5Wp8HwUX1x2cjeOPjHCWxcuxf796S7nxQUAvt2H8O+3ccQGhaEfoM7o+/ATggOYQexxtSsE/gAcM0112D37t348MMPsXDhQmRkZECj0SA1NRVjxozBo48+CoPBUK+6R40ahSlTpmDDhg3YsWMHsrOzkZeXByEEwsLC0KNHD4wcORITJkyA2Wyutb6LL74Ye/bswYcffoi5c+fi+PHjAIDk5GRcd911eOKJJxAeHl6vWImIqOVRm4wIbp+CsozTsBWX1GndsAgzho3ojRG3DIMmso2fIiQiokCQJAkqvQ4qvQ4Idw/h43I4YC8tk1/eXLC3RLEJbXD/49fhz30nsGDOemSdygMAHPgjHQf3paNn3zSMuOZihLcJDnCkRERE/qM2GhDcPgXlmVmwFhR5tY5CoUCnbkno1C0Jhfkl2Pz7Pmz+fR+KCssAAAX5JVg8bxOWLtiMzt2T0X9IF7TvlMCh6hqBJASfvWwJ4uLicOrUKcTGxiIjIyPQ4RARkY9ZC4tRnpkFl8O73viVNMFmBCU2/MkutjO+wZ8jETUWR4UV9uIS2IpL4Ci3BDqcgHC5XNi+6SAWz9skDwkAuMf97Te4Cy6/qneT6kEY1rUTJB8kQdjW+AZ/jkTUUtiKilGacbpec+s4nS4c2JuOjWv34uAf6ReM4BcWYcbFgzuj78DOCDLXrwN1c2OMi4EuLKTB9dSlnWn2PfCJiIhaA22IGWqTEeWns2EtKAx0OERE1MSpdFqodFroIyPgcjhgKyqBrbAI9rLyQIfWaBQKBfoM6IQefdpjw+q9WP7bVpSXVcDpdGHD6j3Ysn4fBg7thmEjesMUpK+9QiIiomZIE2xGiMGA0oxM2EtKa1/hHEqlAl16JKNLj2QU5BVj0+/7sHndPpQUu88n8nOL8dvcjVg8bzO69kzGxUO6IrVDHHvl+xgT+ERERM2EQqWEKT4GmhAzyjIyvR4bn4iIWjeFSgVdeCh04aFw2R2wFhXBVlAEh6Ui0KE1CrVahUuG90TfQZ2weukOrFu+C1arHQ67E2uW7cTGtX9g0KXdcMnwXkzkExFRi6RQq2BOTkBFXj7KT5+BcLnqXEdouBkjr+2PK0b3xb7dx7Fx7V78ue8kAPdTb7u3H8Hu7UcQFmFGUru2iGobijZRoYiMDkV4m2CoVEpffy2/c7lcKC4qR35uMQryipGfV4ISiwPxHRMw8o4rGi0OJvCJiIiaGU2QCap6jo1PREStm0Ktgj4iHPqIcDgqKmAtKIKtoBAuR90fq29u9HotRl7bH4OH9cDKxduwfvUeOOxO2Kx2rFy8HetW7sbAod0w9IperWYYACIial104WFQG40oPXmq3jfylUoluvVqh2692iEvpwib1v2BLev3o7TEPWRffm4x8nOLq6yjUEgIbxMsJ/Qjo0MQGR2GNlEhMBh1Df5e9eVyCZQUl6Egr8SdoM8tQX5eMQry3P8W5pfA6bzwZkdhQSkT+EREROSZQqVCUFI8KvILUZ6ZVa8eFERE1LqpdDqo2upgiIqErbgE1vwC2EvLAh2W35mC9Ljm5sG4ZHhPrPhtGzb9/gecDhfsNgdWL92B31ftRt+BnTF0eE9OdktERC2OUqeFOTUZluwcWHLycMHA9nUQ3iYYo24YiCuvuRh/7DqGjWv34sjBjAuqdLkEcrILkZNdiH27j1VZZjIbEBkVcjaxH4o20aGIjApFSFiQx6F4XC4XnE73y+X8673T4bzgM4fDieLCUuRXJurPJukL8krgqEcnhtzTeXVepyGYwCciImrGdGEhUOm1KDl+kkPqEBFRvUgKCdoQM7QhZjitNlTk5cNaUFSvye6ak+AQE264fSguG9kbK5dsx6a1f8DhcMJhd2LD6j3YuGYvevROxdAreyEuITLQ4RIREfmMJEkwREdCHWRC2clMOG22BtWnUinRo3cqevROhd3mQM6ZQuRkFeBMdgHOnHb/m5NVCHs116ylxeUoLS7H0UOZVT5Xq1UwmfVVEvF/vXc25L6DV7Q6NcLCzQgNNyMsPAhhEe73MZ1TENshyb8bPw8T+ERERM2cSq+HOTUZJcdOwlnROsYzJiIi/1BqNTDGRMMQFQlrYSEqcgvgtFoDHZZfBYeacP2tl+Cykb2xeukObFz7B2xWO4QQ2Ln1EHZuPYTk1LYYNKwHuvZMgVKpCHTIREREPqE2GhDcPgVlp7NgzS/0TZ0aFWLiIhATF1Hlc5dLoKigBGeyCnAmq/BsUr8AZ7IK5Elxz2W3O1CQ578hYzVaNULDgxB2NkEfGm52/z/CjLBwM/QGLSTpwicAjHEx0AU17lB7TOATERG1AEq1GsHtklByIgP2ktJAh0NERM2cpFRAFx4GbVgo7CWlqMjNb/HD65iDjbjm5sG4/Ko+WL96D9at2IWyUveN8WOHT+PY4dMICTWh3+Au6DuwE0JCTQGOmIiIqOEkpQKmuBjoIsJgyc6Frai49pXqQaGQzibJzejQJbHKsvKyCuRkF+JMVgFysgvOJvkLYCm3QqlUQKFUQKlUQKlUQqlSQKk477MqZc55r1LKnwWZDVV60xuMumoT9E0RE/hEREQthKRUICgpHmUZmbAWFAU6HCIiagEkSYLGHASNOQgOSwUqcvJgLSpu0Hi5TZ3BqMPwUX1xyfCe2LbxIH5fuRvZp/MBuCetWzJ/E5Yu2IwOXRLQb1BndOqaBJVaGeCoiYiIGkal0yEoMQ4OSwUsZ/yXyK+OwahDYko0ElOiG22bzQkT+ERERC2IJEkwxsVAUihQkVcQ6HCIiKgFUel1MCXEQm9tA0tOHmwFhRAtOJGv0agx4JKu6D+kCw4fzMC6Fbuwf89xCAEIIXBgbzoO7E2H3qBF154p6Nk3DakdYqFQcIgdIiJqvlT6cxL52TmwFftvGBvyDhP4RERELYwkSTDGtoWkVMJpbdhkREREROdTajUwxbWFKyoCltx8WPMKIFyuQIflN5IkoX3HeLTvGI/C/BJs2bAfm3/fj8J8d0LDUm7FlvX7sWX9fhhNOnTsmoTO3ZKQ1jkBOr0mwNETERHVj0qvQ1BSPBwWi3toHSbyA4YJfCIiohbKEB0JR7kl0GEQEVELpVCrYWwbBX2bcFhy8lp8Ih8AQsKCcMXofrj8qj44tP8ktm/+E3/sPAqr1Q4AKCutwLaNB7Bt4wEolQoktWuLlLRYtEuLRUJyFNRqXoITEVHzotLrmcgPMJ49EBERtWAqgz7QIRARUQunUKmqJvJz81v00DoAoFAo0KFLIjp0SYTNZsf+PenYufVP/LnvJGxnk/lOpwtH/jyFI3+ewlIAKpUSMfERiE2IRHxiG8QmRKJNZAjUGl6WExFR0ycn8sstKM/Ogb2kNNAhtRo8UyAiIiIiIqIGkxP5EWGwnMlFRX5hi57stpJGo0aP3qno0TsVDrsTR/7MwP49x7F/bzryc/+aANDhcOLEsWycOJaNDWc/kyQgJDQIbaJDEd95Ly66pAc69ekQmC9CRETkBZVBD3NyAhP5jYgJfCIiIiIiIvIZhVoNY2xb6CLCYTmTA2tBUaBDajQqtVLumX89gIK8Yhw5lImjf57CsUOZyM2p+rMQAijIL0FBfgn+3HcCIRFmJvCJiKhZqEzk28vLYcnOZSLfj5jAJyIiIiIiIp9TajUwxcdCFxGO8qwzrfLCPjTcjD7hZvTp3xGAe8LbUydzkJF+BqdP5SEnuxA52QWosLgnnY9OjA5kuERERHWmNhigTk6Avawcluwc2EvLAh1Si8MEPhEREREREfmNSq9z99ArLUN51plWPcG63qBFaoc4pHaIkz8TQqCkuBxWQzDiUmMCGB0REVH9qY0GqFMS4Si3wFpQCFtRMVwOZ6DDahGYwCciIiIiIiK/U5uMCE5NhrWwGJasM3DabIEOqUmQJAnmYCPCuraHpJACHQ4REVGDqAx6qAx6GGKiYS8tg62wCLaiEgiXK9ChNVtM4BMREREREVGj0YaYoTEHwZpfAMuZHPbOIyIiaoEkSYImyARNkAki1gVbSSlsBUWwl5RCtIJJ7n2JCXwiIiIiIiJqVJJCgi4iDJrQYFTk5KEiN58984iIiFooSaGANtgMbbAZLqcTtqIS2AqLOF6+l5jAJyIiIiIiooBQKJUwREdCFx6K8uwcWAuKAPbKIyIiarEUSiV0YSHQhYXAZbfDWlQMW2Fxq54jpzZM4BMREREREVFAKdRqmOJioG8TjvKsHNiKigMdEhEREfmZQq2GPiIc+ohwOK02WAuLYCssgtPKeXLOxQQ+ERERERERNQlKrRZBiXFwlFtQnp0De0lpoEMiIiKiRqDUamCIagNDVBs4LBZYC4thLy5hMh9M4BMREREREVETozLoYU5OgL2sHJbsHI6RS0RE1Iqo9Hqo9HqgbRRcDicc5eVwlFvkV2ubN4cJfCIiIiIiImqS1EYD1CmJ7kT+mVz2yCciImplFColNOYgaMxBAAAhBJwVFXCUWWAvt8BRXg6XzR7gKP2LCXwiIiIiIiJq0tRGA9TJCXBYKmDJyYWtqIST3RIREbVCkiTJPfR1Zz9z2R1wlJe7E/pl5XBaKiBa0HkCE/hERERERETULKj0OgQlxMFps6EirwDW/EIIpzPQYREREVEAKdQqaILN0ASbAQDCJeCosMBRVjnsTjlcdkeAo6w/JvCJiIiIiIioWVFqNDC2jYIhqg2shcWw5hfAUW4JdFhERETUBEgKCWqDAWqDQf5MOF1w2mxw2e3uf212uGx/vW/K4+ozgU9ERERERETNkqRQQBcWAl1YCJxWK6wFRbAWFrX4sXCJiIiobiSlAiq9DtDrql3ucjjOJvTtcNls7n/t7vcumz2gQ/IwgU9ERERERETNnlKrhSE6EvqoNnBaKmArLoGtuATOCmugQyMiIqImTqFSQaFSQWXQX7BMCCEn+BXqxk+nM4FPRERERERELYYkSVAZ9FAZ9DBER8Jps8FeWg5HWRnsZeXsnU9ERER1IkkSlGo1lGp1QLbPBD4RERERERG1WEqNBsowDRAWAgBw2e1wWCrgrLDCUeH+t6mPfUtEREStFxP4RERERERE1Goo1Gpo1GrAHFTlc5fDCZfdBpfdAeFwwuV0QjgcEC6X++U8+68QwNl/hcvlfu8SvAFAREREfsEEPhEREREREbV6CpUSCpUeuHDoW68IISCcTrgc7sS/y+E8OwmeDS6rDU6rDS6Hw7dBExERUYvHBD4RERERERFRA0mSBOnsBHiAttoyTrsdznILHOUW2M/+CyEaN1AiIiJqVpjAJyIiIiIiImoESrUaymA1NMFmAIDL6YSjrBz2klJACnBwRERE1CQxgU9EREREREQUAAqlEhpzEDTnjcdPREREVEkR6ACIiIiIiIiIiIiIiOhCTOATERERERERERERETVBTOATERERERERERERETVBTOATERERERERERERETVBTOATERERERERERERETVBTOATERERERERERERETVBTOATERERERERERERETVBTOATERERERERERERETVBTOATERERERERERERETVBTOATERERERERERERETVBTOATERERERERERERETVBTOATERERERERERERETVBkhBCBDoIajiNRgO73Q6FQoG2bdsGOhwiImphTp8+DZfLBbVaDZvNFuhwmi2210RE5G9ss32DbTYREflTXdprJvBbCKVSCZfLFegwiIiohVMoFHA6nYEOo9lie01ERI2FbXbDsM0mIqLG4E17rWqkWMjPdDodKioqoFQqERkZGehwfE4IgczMTMTExECSpECHQy0A9ynytZa+T505cwZOpxM6nS7QoTRrbK+J6o77FflaS9+n2Gb7BttsorrhPkW+1tL3qbq01+yBT81CcXExgoODUVRUBLPZHOhwqAXgPkW+xn2KiH8H5B/cr8jXuE8R8e+AfI/7FPka96m/cBJbIiIiIiIiIiIiIqImiAl8IiIiIiIiIiIiIqImiAl8aha0Wi1eeeUVaLXaQIdCLQT3KfI17lNE/Dsg/+B+Rb7GfYqIfwfke9ynyNe4T/2FY+ATERERERERERERETVB7IFPRERERERERERERNQEMYFPRERERERERERERNQEMYFPRERERERERERERNQEMYFPRERERERERERERNQEMYFPtTpx4gSeeeYZdOrUCUajEWFhYejXrx8mTZqE8vLyBtXtcDiwY8cOfPbZZ7jvvvvQvXt3qFQqSJIESZJw/PjxOtdZVlaGyZMn4/LLL0dsbCy0Wi2ioqJw0UUX4bHHHsOSJUuqXa9ym3V5Uf34c5+qyenTpxESEiL/7i699NJa1xFC4IcffsD111+P+Ph46HQ6GAwGpKSk4LbbbsPixYs9rp+eno4vvvgCEydORL9+/ZCYmAiDwQC9Xo/4+Hhce+21mD59Oux2u4++ZevWGPvVvn378Nhjj6Fbt24wm83QaDRo06YNhg0bhg8++AAlJSUe1y8sLMTSpUvx5ptv4vrrr0dMTEyd9knAfdxcunQpnn32WQwZMgRt2rSBWq1GSEgILrroIjzzzDM4cuSID74ttRTbt2/HW2+9hauuugrx8fHQarUwmUxIS0vDhAkTsHbt2nrXXV5ejpSUFHk/TkpKalCsEyZMqHNbPHXq1AZtk+qvoqICH3/8MS6//HK0adMGGo0GsbGxGD16NGbPnl2nujZv3oyHH34YnTp1gtlshslkQrt27TB69Gi8//77yMnJaVCsDW3Tqf6Ki4sxa9YsPP300xg6dChSU1MRHBwMjUaDyMhIXHrppXjnnXeQl5dXa13p6en4+9//jt69eyMkJARqtRphYWEYOHAg3njjDa/3k/Lycrz77rvo168fwsLCYDKZ0KlTJzzzzDM4ceJEQ79yFRs2bMC4ceOQlJQEnU6Htm3bYuTIkZg1a5ZPt0PNS1M/b/V1e5yTk4N//vOfGDhwIMLCwuRz1969e+P5559Henq6T74zXcjb35+31yK1mTVrFkaMGIG2bdtCp9MhKSkJ48aNw8aNG2tdNykpyatYG3q+Sb7hy/PA6lSeP0ycOBEXXXQRQkJC5OPYpZdeikmTJqGwsNBjHVarFT///DP+8Y9/YPjw4UhLS5OPQeHh4Rg4cCBefvllZGRkNDhevxNEHixYsEAEBwcLANW+OnToII4cOVLv+l999dUa6wYgjh07Vqf6VqxYIRITEz3W2aNHj2rX9bROda+0tLR6f+/WzN/7VE1uuummKtsZOnSox/KFhYXi0ksvrXU/uPXWW4XVaq22jhdffNGrfalbt27i6NGjPv/OrUlj7FeTJk0SKpXK4+8yMTFR7Nq1q8Y6kpKSaly3tn1SCCHOnDkjwsPDa92nNBqN+M9//tOg70stwyWXXOLVcWjcuHE1Hss8efrppy/4G2iI8ePH17k9Xr9+fYO2SfVz4MAB0aFDB4+/m5EjR4rS0lKP9VRUVIj77rtPSJLksa6ff/653rH6ok2n+lu6dKlXf8sRERFi0aJFNdYzY8YMYTAYPNYRHh4uli9f7jGew4cPe9x3g4ODxcKFC33y3V977TWhUChq3NY111wjLBaLT7ZFzUdzOG/1ZXu8bNmyWs9fDQaDmDlzZoO+M1XP29+fN9cinlgsFnH11VfXWL9CoRCvv/66xzpqy+X46nyTGs5X54E1+fXXX4VWq611X4iKihIrVqyosZ5Dhw55tU8ZjUYxbdq0+v44GgUT+FSjnTt3yifJJpNJvPnmm2L9+vVi+fLlYuLEifKO3rFjR1FSUlKvbbzyyityPTqdTvTv31+0a9dO/qwuCfylS5cKnU4nAIigoCDx9NNPi19//VVs27ZNLFq0SHz66afiuuuuE/379692/T179tT6euaZZ+TY3nzzzXp959asMfap6sybN08AEJGRkV6foFx11VVy2eTkZPHxxx+LtWvXihUrVoh3331XREREyMsffvjhaut46aWXRI8ePcQjjzwivvjiC7FgwQKxZcsWsWLFCvHFF1+IgQMHynW0a9dOlJWV+ew7tyaNsV/Nnj1brkej0Ygnn3xSLFy4UGzatEnMnDlTDB48WF7etm1bUVhYWG09556URkVFVTnJ9eak+eTJk3L5nj17ildeeUU+zq1YsUI8++yz8nEQgPjss8/q9X2p5ahsU2NiYsTjjz8ufvzxR7F582axYcMG8f7774vY2Fh5f7n99tvrVPf27duFUqkUOp1OBAUF+eSCKiMjo9a2eM2aNXJCrH379g3aHtXPmTNnRHx8vLzvjBkzRixYsEBs375dLFiwQIwZM6ZKgrImVqu1Sns7ZMgQ8cUXX4h169aJjRs3itmzZ4sXXnhBtG/fvkEJfF+06VR/S5cuFfHx8eKuu+4SH374oZgzZ47YsGGD+P3338Xs2bPFmDFjhFKplNvY6hKK69evl8soFApx9913i7lz54rNmzeLH3/8UVxzzTVVLsJruoYoKSkRHTt2lMtOnDhRLF++XKxfv168+eabwmQyyclETzfkvfHFF19UOc+bMmWK2Lx5s5g7d64YNmyYvGzs2LEN2g41L83lvNVX7fHRo0er3Hi77rrr5HORuXPnigkTJsg3cJVKJW/K+0Hlz/6hhx7y+PtsaIeyO+64Q97WsGHD5GP0lClTquR4vvjiixrrqLxWuu666zzGevDgwQbFSg3jq/NAT6ZPny63+SNGjBAffPCBWLFihdi+fbuYN2+euPXWW+VtGAwGsWPHjmrrOXTokIiMjBS33nqrmDRpkvjhhx/EunXrxKZNm8ScOXPEvffeK18/S5Ikfv311wb8ZPyLCXyqUWVPJZVKVW1D+s4778h/MK+99lq9tlGZWN+2bZuw2+1CiKp3+71N4J/bK7VTp07i5MmTNZZtSM+qfv36yX/Y6enp9a6ntWqMfep8JSUlcuPyzTffeJUs3bp1q1wuJSVFFBcXX1AmPT1dhISEyI3KmTNnLihTuU978vjjj8vb+u9//1un70ZujbFfde3aVa5jwYIF1Za58cYb5TLvvfdetWXeffdd8eOPP1Y5ftQlgZ+RkSGuuOIKsWHDhhrLbNy4Uej1egG4exFWt/9S6zF69Ggxe/Zs4XA4ql2ek5Mj0tLS5P1wzZo1XtXrcDhE7969BQDx+uuvyxdcjdEj6uOPP5bjfeONN/y+PbrQI488Iv8OXnnllWrLvPzyy3KZn376qdoyL730klxm0qRJHrdps9nqFauv2nSqv5qOP+f6+eef5d/TjTfeeMHyc294T548udo6nnrqKbnMY489Vm2ZczsPvfPOOxcsX79+vdxrediwYbXGXZOCggJ5n0pISBA5OTlVljscjio3HVavXl3vbVHz0pzOW2vjTXv86KOPymWeffbZasv897//bXCyj2pWW3vtC6tWraryOzz/uJ+TkyMSEhIEABEaGioKCgqqrafyfHL8+PF+i5UazlfngZ7MmjVLPPDAAx7zbuceOy677LJqyzidTuFyuTxua9OmTUKtVgsA4qKLLqpzrI2FCXyq1ubNm+U/hAceeKDaMk6nU3Tq1Ek+CNf3wup89Ung33vvvQKA0Gq14sCBAz6J43wHDhyockeZ6iZQ+9Rjjz1W5XfmTbL0ww8/9Cqp/uSTT8rl5s+fX6/4srKy5DpuvvnmetXRmjXGflVUVCRvw1ODvmvXLrncTTfd5HX9dUnge+vcYU3mzJnjs3qpZZo/f768v/ztb3/zap333ntPAO7H/K1Wa6Mm8Pv37y/fTD9+/Ljft0dVORwOOTGZmJhYY3LW4XDIF+t9+vS5YPmRI0fki6UJEyb4Ld7GbNOpYSp7xkdERFywLDQ0VADuIXJqUlhYKP8Oe/fufcFym80m77udOnUSTqez2noeeOABuZ6tW7fW67ucm4T97rvvqi1z8uRJ+amCq6++ul7boealJZy3nsub9rhXr15ymaKiomrLuFwuERYWVuvfONVPYyTwR40aJQD3UxQ1dab87rvvar1pzwR+0+er80Bf6dOnj9wBIzc3t971jBw5Ut4/fTkahC9xEluq1ty5c+X3d999d7VlFAoF7rrrLgBAQUEBVq1a1QiRXaiwsBAzZ84EANx+++3o0KGDX7bzzTffyO/Hjx/vl220ZIHYpzZv3ozJkydDo9Hgk08+8Xo9m80mv09JSamxXLt27eT3Vqu1XjEajUb5fUVFRb3qaM0aY79qzP3BV4YNGya/54S2VJtzJy3zZn9JT0/Hyy+/DAD45JNPoNFo/BXaBQ4dOiRPgjZ06FAkJiY22rbJ7dChQ/KEYVdccQWUSmW15ZRKJa644goAwNatW3H8+PEqyz///HPY7XZIkiTvT/7QHI/hrVXlOVF150OVv8fk5OQa1w8ODkZERASA6n+Hq1atkvfd8ePHQ6Go/lJ4woQJ8vs5c+Z4Ffv5Ks9PzGYzbrzxxmrLxMXFYfjw4QCApUuXorS0tF7bouajJZ23etseV8YTHh4Os9lcbRlJkuRYefxtfkpLS7F8+XIA7vOCuLi4asvdeOON8j5Q32MrBZ6vzgN9pfI6xuVy4dixY/Wu59y8TFM9DjGBT9Vau3YtAPdO3Lt37xrLDR06VH6/bt06v8dVnfnz58NisQAAxowZI39eUlKCQ4cO4cyZMw3ehhACM2bMAOD+mdx0000NrrO1aex9yuFw4P7774fL5cLzzz9fpxs7aWlp8vujR4/WWO7cRNe569TFd999J7/v2LFjvepozRpjv4qIiEBYWBgA/+8PvnLuSUdNCQqiSude7Huzvzz88MMoKyvDuHHjqtwsagzn3kyvTHBQ48rPz5ffR0VFeSx77vI1a9ZUWfbDDz8AAPr06SMnZV0uFzIyMnDs2DH53K6hGrNNp/rbv38/du7cCaD686HK34mni/Pi4mLk5uZWKX+uynMGoOp5wfn69OkjX8jX51zUZrNh8+bNAIABAwZ4vMlZGYfVasWWLVvqvC1qXlrSeau37XFl3Xl5eSguLq6xXGWsPP42P5s3b5avPTwdWzUaDfr37y+vY7fbGyU+8i1fnQf6ii+ue8+cOYMVK1YAcB9Dw8PDfRKbr/Gqnqq1f/9+AEBqaipUKlWN5c49wa5cp7FV3vkH3CfJixYtwqBBg2A2m5GWloaoqCjExMTgqaeekk/q62rVqlVIT08H4L5zbDKZfBJ7a9LY+9SkSZOwa9cutGvXDi+88EKd1h0xYgSSkpIAAB9++CHKysouKJORkYGpU6cCcO933bp187r+goIC7NixA0899RQeeeQRAO4TmgcffLBOcVLj7Vf3338/AGD79u347bffqi3zxhtvAHD3NrjvvvvqvA1fWr16tfyeN4aoNnXZX2bNmoVff/0VoaGhmDRpkr9Dq0IIgW+//RYAYDAYcPPNNzfq9snt3B5KRUVFHsueu3zfvn3y+5ycHDlZM2DAABQXF+OJJ55AREQE4uPjkZKSArPZjKFDh2LhwoUNitffbTrVX3l5OQ4dOoT3338fw4YNg9PpBAA8/vjjF5R94IEHALiTgJ9++mm19VW2w+eWP9e57b+nY51KpZJ7J9fnnOHQoUNwOBy1buf85YG6lqLG01LOW+vSHlf+LQoh8NZbb1VbZvLkyXJSsLq/XfKNH374AR06dIBer0dQUBDat2+P8ePHY+XKlQ2q19tj67nLHQ4HDh06VGO5NWvWoHv37jAajTAYDEhOTsatt96KuXPnQgjRoHipYXxxHuhLldcxKpUKqampXq9ntVpx7NgxfPHFFxg4cCAKCgoAVH8O0mQEdAAfapIsFos89tPo0aNrLW80GgUA0b9/f59sv65j4FdOBBQcHFxlvMnqXnFxceKPP/6oc0wTJkyQ61i6dGk9vlXr1tj71JEjR+RJPBcvXlxlWWUctY03/vvvv8tjMbZr1058+umnYt26dWLlypVi0qRJIjIyUgAQSUlJXs27cO5+ff5Lr9eL77//vl7ftTVrzP2qpKREDB8+XJ5r4+mnnxa//vqr2Lx5s5g1a5YYOnSoPO5jTZPr1cTbfdJbmZmZIigoSB5HuLy83Cf1UsvkdDrlCdoBiC1bttRYNj8/X0RFRQkA4rPPPquyrDHGwD93grSxY8f6bTvkWWlpqTx2fffu3T2W7datm/w7u/322+XPz/1dPv/886Jdu3Yez9+efPLJBsXs6zad6u/rr7/2+Lt+5plnqp1szuFwiLFjx8rj3N53331i3rx5YsuWLeKnn34SN9xwQ5V9qjoXX3yxACCMRmOtcY4ePVqur6Kiok7f8bfffpPXfffddz2W3bJli1z273//e522Q81LSzlvFaLu7fHzzz8vl7/xxhvFTz/9JLZs2SLmzZsn7rnnHqFQKOS6vJn0murG0zG38nX99deLwsLCetV/7u/X03mkEEK8++67ctlFixZdsLzyfNLTa9CgQSIjI6NesVLD+eI80FcWLFhQp+PqypUrPe5bY8eOrXOb35iYwKcLnDlzRt6Bb7311lrLV170dO3a1Sfbr2sCv3v37gKA0Gg0QpIkodVqxb///W+RkZEhrFar2Lt3r7jrrrvkOlNTU+s0KUVZWZmcDIuLi6txwiuqWWPvU5UnrNVtqy7J0vT0dPH000/LDdS5L5PJJF577TWRk5PjVUw1JfBvvfVWTsJYT429X9ntdvHFF1/UmGi68cYbxcaNG+tcry8T+C6XS1x77bVynR9++GGD66SWbdKkSfL+csMNN3gsWzlh/IABAy5IsDVGAv+ee+6RY12yZInftkO1O3eir5kzZ1ZbZubMmVWOkedO0jlnzhz5c61WKwCIgQMHitWrV4vy8nKRn58vZsyYIdq2bSuX++STTxoUsy/bdKq/mhL4PXv29KoNnT17tjwp5vmvYcOGXdBx41ydO3cWAERUVFSt27nlllvkeus6Kd7333/v9X67b98+ueyjjz5ap+1Q89JSzluFqF97vHjxYrnj3fmvXr16idmzZ9crFqqdwWAQt912m/jiiy/E2rVrxY4dO8SSJUvEiy++KMLDw6tci9R10mQhhHj44YflOvbv3++x7McffyyX/fHHHy9Y3r59e3HttdeK//3vf2LVqlVix44dYuXKleKtt94S8fHx8rqdOnWq9w0HariGngf6Ql5ennz9oVQqxfbt22tdp6YEflJSUrU3lJoaJvDpAidOnJB35HHjxtVavvJA2q5dO59sv64J/PNPSmrqyXz//ffLZWrrDXOuGTNmyOuxZ0z9NOY+NW3aNAFAmM1mkZmZecFyb5OlLpdLvPfeex57AXTq1ElMnTrVq7gyMjLEnj17xJ49e8Tvv/8uPvnkE3HRRRcJAGLw4MHizz//rPN3be0a+1i1YcMGcdlllwlJkqrdH8xms3jooYdEUVFRner1ZQL/n//8Z5VEBm84kierVq0SKpVKABCRkZEiKyurxrKrV68WkiQJlUoldu3adcFyfyfwLRaLMJvNAoCIjY3lvh1gmzZtkvcdtVot3njjDZGeni5sNptIT08Xb7zxhlCr1UKj0cjHpMsvv1xef/r06VWOn7179xYWi+WC7fz5559yL9Q2bdrU+4kiX7fpVH8FBQXy+dDmzZvFd999J/eeb9eunZg/f36N6+7fv19cd9118r53/kun04mxY8dWe/4nhBApKSkCgIiPj681znHjxsn1njx5sk7f8ZtvvpHXnTJliseyR44ckcvee++9ddoONS8t5by1Pu1xZmamGDt2rNDpdNXGolKpxLXXXltr8pfqp6CgoMZlWVlZVW6K1qfzz7k3dI4cOeKx7JQpU+Sy06dPr1OsxcXF4sorr5TXb+jTeVR/DT0PbCiHw1HlJsIrr7zi1XqlpaXyOcjWrVvFnDlzxIQJE4RSqRRt27YVX375pc9i9Acm8OkCza0HfpcuXeTynh4xzM3NlXt5XXTRRV7HM2LECLn+ffv2eb0e/aWx9qmcnBwREREhAIiPPvqo2jLeJEudTqcYM2ZMlQuq7du3C4vFIkpLS8W6deuq9HJ+6qmn6hRnJYfDIR544AEBQISGhoqdO3fWq57WqjGPVT/88IN8/Ojevbv4+eefRV5enrDZbOLIkSPirbfekodt6tKlizh9+rTXdfsqgf/tt9/KF2lJSUl1ioFan71794rQ0FABuHtAr1q1qsayFRUVokOHDgKAePrpp6st4+8E/nfffSf/rdQ0PAY1rmnTplW5MDv/pVQqxUcffST///rrr5fX/eGHH6qU9dTr6ZlnnpHLzZs3r85xNlabTg3zzTffCEmShEKhEF9//fUFy9esWSNCQkLk48z06dNFVlaWsNls4uTJk2Ly5MnyMS0uLq7ac3b2wKdAainnrXVtj/ft2yfi4uIEABEeHi4+/vhjcfLkSWGz2URWVpb45ptvREJCggAgQkJCxJo1a+r8falhjhw5IrfnqampdV7flz3wa1NYWCg/NWA0GoXVaq1zHeQbDTkPbKhzO+eOHj26wUNvLVu2TD5mvvbaaz6K0veYwKcLNLcx8Pv37y+Xr+2PbdCgQfLBxJvHwzIzM4VSqRQARN++fb39CnSextqnKntL9enTp8beIN4kS89taF599dVatwdALFiwoE6xVrJarXIPmwEDBtSrjtaqsfarrKwsed0uXbqI0tLSasstW7ZMTqDffPPNXtfviwT+ggUL5GEhoqKixKFDh+pdF7V8R48eFTExMXJ7OGfOHI/lX3rpJQG4e63WNASdvxP4V111lfy3Up+5bMg/du7cKcaMGSMPNQi4xye//PLLxcaNG8WePXvkz++++255vUWLFsmfazQajxfgS5culcu+9NJLdY6xMdt0apjKpLnRaBT5+fny5xUVFSI2NlYAENHR0TUmG/fu3Sv38O3Tp88FyzkGPgVSSzlvrWt73Lt3bwFAGAyGGjvDnTp1Sp5jJzY2tkmPQd1SnXvMO3XqVJ3W9eUY+N545JFH5Dp+//33etVBvlHf88CG+Pvf/y7XOXjwYJ/N9/bcc8/J8TfVp4EUIDqPTqdDREQEACAjI8Nj2YKCApSVlQEA4uPj/R5bdc7dblxcnFdlnU4n8vLyaq17xowZcDqdAIC77rqrAVG2bo2xT2VmZmL69OkAgMsuuwzff/89Zs2adcGr0pkzZ+TPNm3aVKWuKVOmAACCgoLw97//vcZtvvXWW/L7L7/80utYz6XRaDBy5EgAwIYNG5CZmVmvelqjxjpWzZo1S173hRdegNForLbc5ZdfjssvvxwAMGfOHHkme39btWoVbr75ZtjtdoSGhmLJkiVITU1tlG1T85OZmYnhw4cjMzMTkiThq6++wg033OBxnbfffhsAMHz4cCxYsKDaY2vl30hZWZn82YoVK3wSc3Z2NpYsWQIA6N27Nzp37uyTeqnhevToge+//x4FBQU4efIkDh06hJKSEixbtgwXX3wxdu/eLZc99/d27nE4KioKGo2mxm2cW/bMmTN1jrEx23RqmOuuuw6A+zjy22+/yZ8vWrQIp06dAgA89thjiI6Ornb9Ll264M477wQAbN26Fbt27aqyvPI6oaysDIWFhR5jOXnyJACgTZs20Gq1dfoe516P1HZ+UrkdIHDXUtQ4WsJ5a13b4127dmHbtm0AgLFjx6JTp07VlouJicFjjz0GADh16hQWLVpUayzkW+f+LiuPt95q7GNeQ2Il36rveWB9vf322/j3v/8NALjooouwYMEC6PX6BtcL/HUO4nK5MGfOHJ/U6WuqQAdATVOnTp2wdu1aHD58GA6HAypV9bvKgQMHqqwTCF26dMEPP/wAAHKyvSbnLq/pO52rMiGsVqtx++23NyBK8vc+ZbPZ5PfvvPNOreX3798v/07Hjx+Piy++uMoywN3IeLpoi4uLQ1RUFLKzs6vEXVdt2rSR36enpyMmJqbedbU2jXGsqtwfAPeJgie9e/fGsmXL4HK58Oeff1bZr/xh8+bNuOaaa1BRUQGTyYTffvsN3bt39+s2qfnKzc3FFVdcgaNHjwIAPvroI69uTlceX7/++mt8/fXXtW6j8tg6dOhQXHbZZQ2MuurN9PHjxze4PvI9pVJZbSeKdevWye/PPR62b98earUadrvd5+du52vsNp3q7/zzoUp1bYcrb8AcOHAAPXr0kJd17twZP/30k7ysf//+1dbhcDhw5MgRAPW7vklLS4NSqYTT6ax1X2oK11LUeJr7eWtd2+O6xlLpwIEDcjKNGocQot7rnpuY9faYp1Kp6t3hqCGxkn/U9TywPj7++GO5I0anTp2wePFiBAcHN6jOc9V0DtKUsAc+VWvw4MEA3D1UKu+aV2f16tXy+0GDBvk9rupccskl8vvKk+2aVC7X6/UICwvzWHbnzp3yHcPRo0cjPDy8gZG2bs1pn6o8mXY4HLWWtdvtVdapj3N7DphMpnrX0xo1xn517u+2tn2icn84fz1/2L17N0aOHInS0lLodDrMnz/f7zcMqPkqKirCiBEjsG/fPgDAv//9bzzyyCMBjso733zzDQDeTG9ubDYbfvzxRwBAbGwsBg4cKC9Tq9UYMGAAAHePzsreotU599wuNja2znE0dptO9VfT+ZCv2uHKcwag6nnB+bZu3Srvk/U5F9VoNOjXrx8A99OV53YyOV9lHFqtFn369Knztqh5ae7nrXVtj5vqOTRdqPL8EECdO5P17dtXfpLO07HVZrNh48aNF6xTVw2JlRqPp/PAupo+fToeffRRAEBKSgqWLVsmP9HkK80hJ8MEPlXr+uuvl9/X1NvO5XLJjXhISAiGDRvWGKFd4JJLLpHvls2dO7fGO7LHjh3Dzp07AQADBw6EQuF596/8bgB7/PmCv/eppKQkCPe8Hh5flYYOHSp/NnXq1Cp1JScnAwD27t3r8RHrvXv3Ij8/v8o6dXXuY+J6vR7t2rWrVz2tVWMcq8793a5du9Zj2TVr1gAAJElCUlJSnbZTF3/++SeuvPJKFBQUQK1W46effsKll17qt+1R81ZeXo7Ro0dj+/btAIAXX3wRzz//vNfre3NsTUxMBAAkJibKn61atarBse/Zs0ceBmPUqFE+P1kn//nwww+Rk5MDAHjwwQehVCqrLL/pppsAuHvY//LLLzXWc+5jzEOGDKlzHI3ZplPDVD5RCwDdunWT39elHT43eXT+7/HSSy+Ve+tNmzatxmuGc88LaxtirCaV5yfFxcU1PoqfkZGBZcuWAXAPZxIUFFSvbVHz0ZzPW+vTHvvqb5f86+jRo1i6dCkAd3K0rjfLg4KC5OGYli1bVuMwOnPmzEFxcTGA+h9bi4qKMHv2bACAwWDgjc8mrLbzQG/NmTMHd999N4QQiIuLw/Lly/1y46amc5AmpZHG2qdmaMiQIQKAUKlUYv369Rcsf+edd+TJI1555ZULln/99dcel9ekrpPYCiHE22+/La/zr3/964LlNptNjBw5Ui7zww8/eKzP4XCI6OhoAUCEh4d7NeEt1S5Q+9S5Ktf3NGHoP/7xjyqTrbhcrgvKWCwWMWzYMLncZ599VmV5Tk6O+PHHHz3GYrFY5AnbAIg777yzXt+ptfP3frV//355kq/Y2FiRkZFRbRyfffaZXE9dJiT2Zp88V3p6ujzxsVKprPV4Rq2b1WoVV155pbyfPf74437ZjreT2A4dOrRObfzTTz8tl//pp598Eyz5RHp6eo3L5s2bJ0+s3b59e2GxWC4oU1JSIiIjI+X9Jisr64IyK1euFEqlUgAQXbt2rbY9rm2f8kWbTg3z9ddfV7sPnOv999+Xf/5JSUnCbrfLywoKCoTBYBAARFBQkNi9e3e1dfz6669CoVDI7bXT6bygTOWk3ADEO++8c8Hy9evXC5VK5bFdPnbsWK1td15enggODpb379zc3CrLHQ6HuOaaa+R6VqxYUcNPhlqa5nreWp/22Ol0yhNQK5VKsWzZsmrLbdu2TZ5412AwiIKCAq/qp9rNmzevyvH0fFlZWaJXr17y7/a99967oIw31+DLly+Xy1x77bXC4XBUWZ6TkyMSEhIEABESElJlovJKv/32m8cJSYuLi6uc0z722GM1liX/a+h5oDf71eLFi4VGoxEARGRkpDhw4ECd45w5c6YoLCz0WGb27Nny+WZwcLDIy8ur83YaAxP4VKPt27cLvV4vAAiTySTeeustsWHDBrFixQpx//33y39saWlpori4+IL1vfmDLCkpEV9//XWV16BBg+T13n333SrLduzYUW09FotFXHTRRVUSoYsWLRLbtm0Ts2fPFhdffLG8bNSoUdVevJ1r4cKFcvlHH320rj86qkFj7FO18SZZmpOTIycVcHZ282+//VZs3bpVbNq0SXz66aeic+fO8vJOnToJq9VapY7Ki7vU1FTx/PPPi59++kls3LhR7NixQyxdulS8+eabIiUlRa4jNjZWnDp1ql7fqbVrjP3qnnvukcu0adNGvPnmm2LNmjVix44dYt68eeKOO+6QlyuVSrFy5cpq69mxY8cFx7zK9Tp06HDBspKSkirr5+bmivbt28vrPPfcc2LPnj0eXzVduFHrcOONN8r7y2WXXSZ2797tcX85ePBgvbbjjwS+w+EQbdu2FQBEWFjYBcdZCqygoCBx5ZVXii+++EKsX79ebN26Vfz444/i1ltvlX/HoaGhYvv27TXWMWvWLDnRFB8fLyZPniy2bNki1q5dK1544QX52K5SqcS6deuqraO2fcoXbTo1TGJioggLCxMTJ04U06ZNE+vWrRM7d+4Ua9euFR9//HGVc3+NRiOWLl16QR2vv/66XMZkMol//OMfYsWKFWLHjh1i0aJF4qGHHpIT7wDE9OnTq42luLhYpKWlyeXuv/9+sWLFCrFhwwbx1ltvCZPJJAAIvV5f43WHNwl8IYT49NNP5XLt2rUTX331ldiyZYv45Zdfqtwwuv322+vzY6Vmqjmdt1ZqSHv8zTffyNtSq9Xi0UcfFYsXLxY7duwQy5cvF88//7x8gw6AeOONN7yum2qXmJgoYmJixGOPPSZmzpwp1q9fL1+PvvjiiyI8PLxK+1hRUXFBHd5eg992221yuWHDholffvlFbNmyRXz11VeiXbt28rJPP/202vWHDh0qwsLCxH333SemTp0q1q5dK3bs2CFWrlwp3nrrLbkDU+V1U1NNsrYWDT0PrG2/2rBhg3xsUKvVYsaMGbVe91Z382/o0KHCZDKJO++8U3z++edi9erVYufOneL3338XX331lRg1apQchyRJYurUqT7+SfkOE/jk0bx584TZbJZ36PNfaWlp4tChQ9Wu682B/twTYG9enhqMzMxM0bt3b4/rjxo1qtoTofOde9DZvHmzNz8q8pK/96naeHPBJYQ70ZqcnFzrPtmzZ09x/PjxC9avy749YMAAceTIkXp9H3Lz935VUVFR5bhQ08toNIoZM2bUGOcrr7xSp2Pe+cmolStX1ml9AGL8+PH1/KlSS1DX/aW2BHxN/JHA/+233+SyDz/8cL3iIv+p7C1Z06tz584ek/eV/ve//8m9q6p7mUwmMXfu3BrX92afamibTg1TeXyo7RUXFyeWLFlSbR0ul0s88cQT8g2fml5qtVq8++67HuM5dOhQlZvh57/MZrOYP39+jet7m8AXQoiXX37ZY8yjRo2q9ekEanmay3lrpYa2x++++67cG7emlyRJ4oknnqi1ox3VjbfH35tuuqnGJx+8vQYvLy+vkgw9/6VQKDyuf2577ul1ySWXsINSE9DQ88Da9qu6XjcDEF9//fUF9Xi7X4WGhopvv/3Whz8h3+PsIOTRNddcg927d+PDDz/EwoULkZGRAY1Gg9TUVIwZMwaPPvooDAZDoMMEALRt2xYbN27ElClT8N1332Hfvn0oLCxEeHg4+vXrhwkTJng11lpxcTHmzZsHAOjYsSP69u3r79BbleayT/Xs2RN79uzBtGnT8Msvv2D37t3Iz8+HJEmIjIxEr169MGbMGNx6661Qq9UXrJ+QkIBNmzZh5cqVWL16NY4dO4bs7GyUlJTAZDIhISEBffr0wZgxYzBixAhIkhSAb9ly+Hu/0mq1mDVrFh544AFMnToVGzduxKlTp2C1WmE2m9GhQwcMHz4c999/P+Li4nz4zYhar+nTp8vv77rrrgBGQtX58ssvsWTJEmzevBmnT59GaWkp2rRpg+7du+Pmm2/GuHHjqm0fz/fII4/g0ksvxeTJk7F06VKcOnUKSqUSKSkpGDlyJJ544gm0bdu2QbE2tE2nhlm+fDmWLVuGlStXYv/+/cjOzkZeXh50Oh2ioqLQs2dPXH311bjllltqbKslScIHH3yAO++8E19++SXWrVuH9PR0lJeXw2QyITU1FUOHDsUDDzyAtLQ0j/GkpqZix44dmDx5Mn744QccPnwYNpsN8fHxGDVqFB5//HF5Xo+Geu211zBixAhMnjwZa9euRXZ2NkJCQtCjRw/cfffdnJi7lWpu560NbY+feeYZXHPNNfj888+xevVqHD58GKWlpTAYDEhMTMTgwYNx3333oXfv3nWumzybNm0aVq9ejQ0bNuDo0aPIzc1FcXExTCYT4uPjMXDgQIwfP16eWL4h9Ho9Fi5ciJkzZ2Lq1KnYtWsXCgsLERUVhSFDhuDRRx/1uJ1JkyZh+fLl2LBhAw4ePIjc3FwUFhbCYDAgJiYGF198MW6//XZceeWVvHZuAnx1HuhvM2bMkM9Bdu/ejezsbOTk5ECj0SAiIgLdunXDyJEjcccddyA0NDTQ4XokCVHD7D1ERERERERERERERBQwikAHQEREREREREREREREF2ICn4iIiIiIiIiIiIioCWICn4iIiIiIiIiIiIioCWICn4iIiIiIiIiIiIioCWICn4iIiIiIiIiIiIioCWICn4iIiIiIiIiIiIioCWICn4iIiIiIiIiIiIioCWICn4iIiIiIiIiIiIioCWICn4iIiIiIiIiIiIioCWICn4iIiIiIiIiIiIioCWICn4iIiIiIiIiIqImZOnUqJEmCJEk4fvx4oMMhogBhAp+IWrTS0lIkJiZCkiREREQgJyen1nWeffZZ+STp008/bYQoiYiIWrfRo0dDkiQoFAqsW7fOq3XWrVsHhUIBSZJw9dVX+zlCIiKilslqtWLjxo346KOPMG7cOHTo0EFuXyVJqnN9J06cwDPPPINOnTrBaDQiLCwM/fr1w6RJk1BeXu7z+JOSkuRY6/Miag4kIYQIdBBERP7022+/YdSoUQCA22+/HTNnzqyx7NatW9G/f384nU5ccsklWLVqFRt1IiIiP8vIyECXLl1QXFyMDh06YOfOndDpdDWWt1qt6NGjBw4ePAiz2Yw//vgDcXFxjRgxERGR/02dOhV33303AODYsWNISkry+TbuvvtuTJ06tcbldUkbLly4EGPHjkVRUVG1yzt06IBff/0VKSkpdQ2zRklJSUhPT6/3+kyLUnPAHvhE1OJdddVVGDt2LADgu+++w8KFC6stZ7fbce+998LpdEKn0+GLL75g8p6IiKgRxMXF4e233wYAHDx4EK+99prH8q+//joOHjwIAHjnnXeYvCciIqqncxPYQUFBGDp0KKKjo+tcz65du3DLLbegqKgIJpMJb775JtavX4/ly5dj4sSJANxt/OjRo1FaWuqz+JcsWYI9e/Z4/Ro0aJC87gMPPOCzOIj8iT3wiahVyM3NRefOnZGTk4P4+Hj88ccfCAoKqlLmjTfewMsvvwwA+Ne//oW///3vgQiViIioVRJCYNiwYVi9ejVUKhU2b96MXr16XVBu165d6NOnDxwOBy699FKsWLGCN9yJiKhFaowe+LNnz4bFYkHfvn3RqVMnKBQKXHrppVi9ejUA73uoDxs2DKtWrYJKpcKaNWswYMCAKsvfffddPPfccwCA1157Tb72bkyTJ0/Go48+CgDo1asXNmzYAK1W2+hxENUVE/hE1GrMnDlT7on/8MMPY/LkyfKy/fv3o1evXrBarejVqxc2b94MlUoVqFCJiIhapcOHD6N79+6wWCzo2bMntmzZUqU9djqduPjii7Ft2zbo9Xrs2bMH7dq1C2DERERE/tMYCfzq1DWBv2XLFvTr1w+Au1d7dXPJuVwudO3aFfv370doaCiys7OhVqt9G7gHW7duxaBBg2Cz2RAcHIxt27bxHIKaDQ6hQ0Stxh133CGPhf/JJ5/Ik+S5XC7ce++9sFqtUKlUmDJlCpP3REREAZCamorXX38dALBz5068++67VZa///772LZtGwD3k3O88CYiotZu9+7dGDduHGJjY6HT6ZCQkIA777wT27dvBwBMmDABkiT5Nfk/d+5c+X3lDYfzKRQK3HXXXQCAgoICrFq1ym/xnK+goABjxoyBzWYDAEyZMoXnENSsMIFPRK3Kp59+iqCgIAghMHHiRFitVnz00UfYsGEDAOCZZ56p9nF9IiIiahxPPvkk+vbtC8D9iH3lWPdHjhzBK6+8AgDo27cvnnjiiUCFSERE1CRMmzYNffr0wbfffovMzExYrVacPHkSM2bMQP/+/TFt2rRGiWPt2rUAAKPRiN69e9dYbujQofL7yg51/iaEwPjx43H8+HEAwOOPP46bbrqpUbZN5CtM4BNRqxIfH49//etfAIADBw7goYcewosvvggASEtLkxMDREREFBhKpRJTpkyBWq2G1WrFvffeC5fLhYkTJ8JisUCtVuOrr76CUqkMdKhEREQBs27dOtxzzz2w2+3Q6/V44YUXsGbNGmzatAmTJ09GVFQU7r//fuzevdvvsezfvx+A+0k6T0+zd+zY8YJ1/O2dd97B/PnzAQAXX3zxBU/3ETUHTOATUavz8MMPyzPPf/311ygrK4MkSfjiiy+g0+kCHB0RERF169YN//jHPwAAv//+O6688kqsXLkSAPDCCy+ga9eugQyPiIgo4B599FG4XC5oNBosW7YMb775JoYMGYJ+/frh4YcfxrZt2xAXF4cdO3b4NY6Kigrk5uYCAOLi4jyWDQ0NhdFoBACcPHnSr3EBwJo1a+QOe2FhYfj+++8bddx9Il9hAp+IWp3KZL0kSfJnDzzwAC655JIARkVERETnevHFF9GlSxcAwPLlywEAXbt2xQsvvBDIsIiIiAJu48aN2LVrFwDgkUcewcCBAy8oExkZiQ8++MDvsZSUlMjvTSZTreUrE/ilpaV+iwkAsrOzcdttt8HpdEKSJHzzzTdISEjw6zaJ/IUJfCJqlX7//XcIIeT/x8TEBDAaIiIiOp9Go6kyVE7l0DoajSbAkREREQVW5Y1tABg/fnyN5UaPHo3w8HC/xlJRUSG/96aN1mq1AACLxeK3mFwuF+644w6cPn0aAPDcc89h9OjRftsekb8xgU9Erc7p06fx7LPPVvnszTffxJ9//hmgiIiIiKg6/fr1kx/Hj4uLQ79+/QIcERERUeDt3bsXgDsZ7mlYOaVSiZ49e/o1lnOHobXZbLWWt1qtAAC9Xu+3mF555RWsWLECADBkyBC8+eabftsWUWNgAp+IWp2HH34YhYWFkCQJ7777LhQKBaxWK+6///4qvfKJiIiIiIiImpqCggIA7nHda5vUvU2bNn6NJSgoSH7vzbA4ZWVlALwbbqc+Fi1aJCfsIyMjMWvWLE58T80eE/hE1Kr8+OOPmDt3LgD3uPfPPPMMHn30UQDA6tWrMWXKlABGR0RERERERNR86HQ6REREAAAyMjI8li0oKJAT+PHx8T6P5eTJk7jzzjshhIBCocCMGTM4XC61CEzgE1GrUVBQgMceewwAEBsbi7fffhuAe/icyslsnnvuOWRnZwcsRiIiIiIiIiJPQkNDAQD5+flwOp0ey+bk5Pg9nk6dOgEADh8+DIfDUWO5AwcOXLCOr9jtdtx6663Iy8sDALz88ssYPny4T7dBFChM4BNRq/HUU08hKysLADB58mSYzWYA7kf3Pv74YwDuJP/f/va3gMVIRERERERE5EmXLl0AuMeT37NnT43lnE4ndu7c6fd4Bg8eDMA9PM62bdtqLLd69Wr5/aBBg3waw3PPPYcNGzYAAIYPH46XXnrJp/UTBRIT+ETUKixbtgxTp04FANx888247rrrqiwfPXo0brvtNgDA999/jwULFjR2iERERERERES1uvzyy+X333zzTY3lFi5cKPdI96frr79efv/1119XW8blcsmxhoSEYNiwYT7b/pw5c/Cf//wHABATE4MZM2ZAoWDKk1oO7s1E1OKVlZXh/vvvB+B+1PCjQL9j4gAABG1JREFUjz6qttyHH36IsLAwAO6Jbr2ZgIeIiIiIiIioMQ0YMADdu3cH4H66fP369ReUycnJwZNPPtko8fTr1w9DhgwBAEyZMkXuCX+u9957D/v37wcAPP7441Cr1T7Z9uHDh3H33XcDAJRKJWbNmoXIyEif1E3UVKgCHQARkb/93//9H44dOwYAmDRpEqKjo6stFxkZiUmTJuGee+7ByZMn8eKLL+LDDz9szFCJiIiIiIiIajV58mQMHToUNpsNw4cPx1NPPYWRI0dCq9Vi69at+Ne//oWsrCz07NkTO3fuhCRJ1daTlZWFRYsWXfBZpcon2SsNHjwYqampF9Tz4YcfYtCgQbBYLLjyyivxwgsvYNiwYbBYLJg1axY+//xzAEBaWhqefvrpBn57t4qKCowZMwbFxcUAgAkTJiA0NBR79+71uo7k5GQYjUafxEPkL5IQQgQ6CCIif9m8eTMGDBgAl8uFyy67DMuXL691neHDh2P58uVQKBTYsGED+vXr1wiREhERUXWSkpKQnp6OxMREHD9+PNDhEBERNZqpU6fKvcuPHTuGpKSkKsunTZuGiRMnwm63X7CuSqXCJ598gjVr1mD69Ono2LGj3AP+XKtWrarTcDZff/01JkyYUO2y+fPn484775QT6udLS0vDwoULq70BUB+rV6/GpZde2qA6Vq5c2eA6iPyNQ+gQUYtlt9tx7733wuVyQa/Xy3f8a/PZZ59Br9fD5XJh4sSJcDgcfo6UiIiIiIiIqG7Gjx+PrVu3YuzYsYiJiYFGo0FsbCxuueUWrFu3Dvfdd5+cTA8ODvZ7PNdccw12796NJ598EmlpaTAYDAgJCUGfPn3w9ttvY8eOHT5L3gMA+yRTa8Ee+ERERERERERERC1Qamoqjhw5gjvvvBPTp08PdDhEVA/sgU9ERERERERERNTCbNmyBUeOHAEA9O/fP8DREFF9MYFPRERERERERETUzBw+fLjGZXl5eZg4cSIAQKvV4tZbb22ssIjIx1SBDoCIiIiIiIiIiIjq5oorrkBycjJuuOEGdO/eHcHBwSgoKMDvv/+Ojz/+GKdPnwYA/N///R8iIiICHC0R1RfHwCciIiIiIiIiImpmkpKSkJ6e7rHMww8/jI8++ggKRdMchOPUqVMoKCio83pGoxHJycl+iIio6WECn4iIiIiIiIiIqJlZvXo15s+fj9WrV+P06dPIzc2FSqVCdHQ0Bg8ejPvvvx8DBw4MdJgeTZgwAdOmTavzekOHDsWqVat8HxBRE8QhdIiIiIiIiIiIiJqZoUOHYujQoYEOg4j8jD3wiYiIiIiIiIiIiIiaoKY5ABYRERERERERERERUSvHBD4RERERERERERERURPEBD4RERERERERERERURPEBD4RERERERERERERURPEBD4RERERERERERERURPEBD4RERERERERERERURPEBD4RERERERERERERURPEBD4RERERERERERERURPEBD4RERERERERERERURP0/6N7v7noojsGAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axs = plt.subplots(1,3, figsize=(18,4), sharey=True)[1]\n", "\n", "x_pa, y_upa = gp.get_conditional_prediction(Y=88, lg10_Z=8.)\n", "gmb.ParrayPlotter(x_pa.z, y_upa).plot(ax=axs[0])\n", "\n", "x_pa, y_upa = gp.get_conditional_prediction(X=0.5, lg10_Z=8.)\n", "gmb.ParrayPlotter(x_pa.z, y_upa).plot(ax=axs[1])\n", "axs[1].set_ylabel('')\n", "\n", "x_pa, y_upa = gp.get_conditional_prediction(X=0.85, Y=88)\n", "gmb.ParrayPlotter(x_pa.z, y_upa).plot(ax=axs[2])\n", "axs[2].set_ylabel('');" ] }, { "cell_type": "code", "execution_count": null, "id": "110af9a9", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,.pct.py:percent", "notebook_metadata_filter": "kernelspec" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.3" } }, "nbformat": 4, "nbformat_minor": 5 }