diff --git a/Abschlussprojekt/genome.py b/Abschlussprojekt/genome.py index 22ca903..b832a5b 100644 --- a/Abschlussprojekt/genome.py +++ b/Abschlussprojekt/genome.py @@ -2,9 +2,11 @@ from __future__ import annotations from dataclasses import dataclass from enum import Enum -from random import choice, random -import networkx as nx +from random import choice +import numpy as np +from graphs import creates_cycle +rng = np.random.default_rng() class NodeType(Enum): INPUT = 1 @@ -90,8 +92,8 @@ class Genome: def mutate(genome: Genome) -> None: - mutation = choice([MutationType.ADD_CONNECTION]) - + mutation = choice([MutationType.ADD_NODE, MutationType.ADD_CONNECTION]) + print(mutation) if mutation is MutationType.ADD_CONNECTION: _mutate_add_connection(genome) elif mutation is MutationType.ADD_NODE: @@ -104,22 +106,18 @@ def _mutate_add_connection(genome: Genome) -> None: is added connecting two previously unconnected nodes. """ - from_node = choice([node for node in genome.nodes if not node.type != NodeType.OUTPUT]) + from_node = choice([node for node in genome.nodes.values() if not node.type != NodeType.OUTPUT]) + to_node = choice([node for node in genome.nodes.values() if node.type != NodeType.INPUT]) - inputs = [node.id for node in genome.nodes.values() if node.type == NodeType.INPUT] - distance_to_input = _distance_to_input(genome, from_node, inputs) - to_node = choice([node for node in genome.nodes if _distance_to_input(genome, node, inputs) < distance_to_input and tuple[from_node, node] not in genome.connections]) + # Checking if connection already exists + if (from_node, to_node) in genome.connections: + return + + # Checking for cycles + if creates_cycle(genome.connections.keys(), (from_node.id, to_node.id)): + return - genome.add_connection(from_node, to_node, weight=random.uniform(0,1)) - - -def _distance_to_input(g: Genome, node, inputs) -> int: - paths = [] - for input_node in inputs: - paths += list(nx.all_simple_paths(g, input_node, node)) - - path_lengths = [len(path) for path in paths] - return max(path_lengths) + genome.add_connection(from_node, to_node, weight=rng.uniform(0,1)) def _mutate_add_node(genome: Genome) -> None: diff --git a/Abschlussprojekt/graphs.py b/Abschlussprojekt/graphs.py new file mode 100644 index 0000000..175657d --- /dev/null +++ b/Abschlussprojekt/graphs.py @@ -0,0 +1,28 @@ + + + + +def creates_cycle(connections: list[tuple[int, int]], test: tuple[int, int]) -> bool: + """ + Returns true if the addition of the 'test' connection would create a cycle, + assuming that no cycle already exists in the graph represented by 'connections'. + https://github.com/CodeReclaimers/neat-python/blob/4928381317213ee3285204ae1f2a086286aa3a10/neat/graphs.py#L4 + """ + + i, o = test + if i == o: + return True + + visited = {o} + while True: + num_added = 0 + for a, b in connections: + if a in visited and b not in visited: + if b == i: + return True + + visited.add(b) + num_added += 1 + + if num_added == 0: + return False diff --git a/Abschlussprojekt/neat.ipynb b/Abschlussprojekt/neat.ipynb index 3a2c355..99a8d5d 100644 --- a/Abschlussprojekt/neat.ipynb +++ b/Abschlussprojekt/neat.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 63, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -30,14 +30,14 @@ "metadata": {}, "source": [ "### Ausgangssituation zum Start\n", - "NEAT startet ohne hidden nodes, fully connected mit zufälligen Gewichten\n", + "NEAT startet ohne hidden nodes, fully connected, feed-forward mit zufälligen Gewichten\n", "\n", "\n" ] }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -73,18 +73,21 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 5, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" + "ename": "AttributeError", + "evalue": "'builtin_function_or_method' object has no attribute 'uniform'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[5], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m mutate(g1)\n\u001b[1;32m 3\u001b[0m visualization\u001b[39m.\u001b[39mgenome(g1)\n", + "File \u001b[0;32m~/development/ne-assignments/Abschlussprojekt/genome.py:96\u001b[0m, in \u001b[0;36mmutate\u001b[0;34m(genome)\u001b[0m\n\u001b[1;32m 93\u001b[0m mutation \u001b[39m=\u001b[39m choice([MutationType\u001b[39m.\u001b[39mADD_NODE, MutationType\u001b[39m.\u001b[39mADD_CONNECTION])\n\u001b[1;32m 95\u001b[0m \u001b[39mif\u001b[39;00m mutation \u001b[39mis\u001b[39;00m MutationType\u001b[39m.\u001b[39mADD_CONNECTION:\n\u001b[0;32m---> 96\u001b[0m _mutate_add_connection(genome)\n\u001b[1;32m 97\u001b[0m \u001b[39melif\u001b[39;00m mutation \u001b[39mis\u001b[39;00m MutationType\u001b[39m.\u001b[39mADD_NODE:\n\u001b[1;32m 98\u001b[0m _mutate_add_node(genome)\n", + "File \u001b[0;32m~/development/ne-assignments/Abschlussprojekt/genome.py:118\u001b[0m, in \u001b[0;36m_mutate_add_connection\u001b[0;34m(genome)\u001b[0m\n\u001b[1;32m 115\u001b[0m \u001b[39mif\u001b[39;00m creates_cycle(genome\u001b[39m.\u001b[39mconnections\u001b[39m.\u001b[39mkeys(), (from_node\u001b[39m.\u001b[39mid, to_node\u001b[39m.\u001b[39mid)):\n\u001b[1;32m 116\u001b[0m \u001b[39mreturn\u001b[39;00m\n\u001b[0;32m--> 118\u001b[0m genome\u001b[39m.\u001b[39madd_connection(from_node, to_node, weight\u001b[39m=\u001b[39mrandom\u001b[39m.\u001b[39;49muniform(\u001b[39m0\u001b[39m,\u001b[39m1\u001b[39m))\n", + "\u001b[0;31mAttributeError\u001b[0m: 'builtin_function_or_method' object has no attribute 'uniform'" + ] } ], "source": [ @@ -107,19 +110,18 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 125, "metadata": {}, "outputs": [ { - "ename": "TypeError", - "evalue": "'module' object is not callable", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[91], line 10\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[39mfor\u001b[39;00m i \u001b[39min\u001b[39;00m \u001b[39mrange\u001b[39m(\u001b[39m4\u001b[39m):\n\u001b[1;32m 8\u001b[0m mutate(parent2)\n\u001b[0;32m---> 10\u001b[0m visualization(parent1)\n\u001b[1;32m 11\u001b[0m visualization(parent2)\n", - "\u001b[0;31mTypeError\u001b[0m: 'module' object is not callable" - ] + "data": { + "image/png": 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iYmJgYmIiWLn3cA9ucEMqhGsbJZSIQIQg967T09Ph5OSE7t27IygoSIDodIO2twtjTHz6OYfA07PktwiKolJllVsOvH79Gps2bcIXX3whaDIAAJ7wLPFQdFFUUMETwrSNkZERvLy8sG3bNsTGxgpSpi7Q9nZhjGkX3UgIIiKyVhOIkRAcPQrcvClsuVpow4YNyMjIwMSJEwUtNwIROIqjonQ8R3EUNyFM24wbNw5yuRwBAQGClKftdKVdGGPaQzcSgsDArKWDYlAoAD3vJNLT07FmzRoMHToUNjY2gpYdiEAoIE7bKKBAAIRpG0tLS4waNQrr1q1DSkqKIGVKaceOHQgKCkJ6enq+z+tKuzDGtIduJASHDgk/OpBNpQIOHxanbC2xa9cuPHnyRJSNiA7hkOCfQrOpoMJhCNc2U6ZMwcuXLzW2O6OY5s2bh3HjxsHJyQnr16/PkxjoUrswxrSD9k8qTEwELCyAosMsPZkMSEjQy22OiQhNmzZF1apV8ccffwhadiISYQELEMRrGxlkSECCYNvpfvrpp7h58ybCw8MFX2mhSXXq1MGdO3cgk8lARKhevTrmzJmDkSNHIs0oTefahTEmjpL03yKNwwsoKkrcZADIKv/uXcDdXdx6JHDixAlcvXoVR44cEbzsKESJ2ukAAIHg2tMVxjeNBSkvNTUVjx8/hp2dHUxNTQUpUwoPHz4EkJXwAcCTJ08wfvx4eHt74+9Xf4NMxG+Xu7gLd7iLWg9jTHO0PyFIS9OvejRsxYoVaNiwIT766CPBy06DZv7NOnbtiOr1qwtSFhFh27ZtMDQ0RL9+/QQpUwobNmzA69evc/4uk8kgk8nQpk0bkJHICfT/aKr9GWOaof0JgbEwnwy1ph4NioyMxIEDB7B582ZR9vE3hmb+zXwn+gr6SbRJkyYYOHAgBg4cCHcdHRX67bff8Pr1a8jlchgYGMDT0xPTpk1DjRo1EIpQjcRw7OAxVHCogLp168LQ0FAjdTLGxKP9cwiSkrJOLeQ5BCU2fvx47N27F/fv34exCAlPEpJgDnOdu1etUqng7OyM9u3b48cffxSsXE1q0qQJbty4kSsRyKaJdoEagDmAt4CxsTHq168Pd3d3uLu7o3HjxmjcuDEsLCzEq58xViwl6b+1PyEAso4wjooSt/w7d8QrXwJxcXGwt7fHrFmzMHPmTNHqcYELoiBe27jABXcgfNusWLECX3/9Ne7fv5+rM9UVDx48gJGREWxtbfN9XhPtcjH+Iq5fv47Q0FCEhobi2rVruHHjRs6KBycnJzRu3DhXouDg4FDuT51kTJP0a1IhAHTvnrVXgBhLDxUKoFs34cuVWGBgIGQyGcaPHy9qPd3RHQEIEGWJmwIKdIM4bTNmzBh888038Pf3x7fffitKHWJycHAo9HlNtEulSpXQrl07tGvXLue5jIwMREZG4tq1azmJwtq1a/Hy5UsAQKVKlXKShOw/3dzcRBnBYoyVjG6MEEREAPXri1u+q6t45WtYamoqHBwc0LdvX/zwww+i1hWBCNSHeG0TgQi4Qpy28fPzw6ZNmxATEwMzPbtdpE3tQkR48uRJrpGE0NBQ3L17F0QEhUIBV1fXXCMJ7u7uqFKlimjxM1Ze6N8tAwDo3Bk4flzYUQKFAujYERBhSZ6UNm3ahDFjxiAyMhJ16tQRvb7O6IzjOC7op1EFFOiIjjgC8drmwYMHcHZ2xqpVqzBp0iTR6pGKtrdLUlISwsLCchKF0NBQhIWF5ewkaWdnl+uWg7u7O2rVqqXT+0cwpmn6mRDwaYfFQkRo2LAhnJ2dsXfvXsHLT0lJQUREBMLCwnDq1CkcP34cq/etxoCGA3TyVL2BAwfi0qVLuHXrFuRyuah1aZounnaYmZmJO3fu5BpJCA0NxbNnzwAAZmZmaNSoUa6RhAYNGuj0nhKMiUk/EwIACA4Gxo4VtrzRo4UrTwv8+eef6Nq1K06cOIH27dsLUmZKSgomTpyIU6dO4d69e1Cr1bmev3z5Mq40uYKxEK5tghGM0RC/bS5cuICWLVvit99+Q58+fUSvT9OCEayT7fJfsbGxOQlC9p+RkZFQq9UwMDBAnTp18txyqFatmsbjZEzb6G9CAACLFgGzZpX65QRAll3OjBlCRaU1OnfujFevXuHixYuCzeZOTk6GnZ1dro1wgKzNcAYMGICff/4ZALAIizALpW+bbIuwCDOgubb54IMPAACnT5/WWJ2apKvtUpSUlBSEh4fnmptw7do1JCYmAgBsbGzy3HKoXbs2FGIdlMaYFipR/03F8ObNGwJAb968Kc7l4gsKIlIqiRQKoqwdCor1UMlklAzQq+++k/odiOL69esEgLZv3y542YcPHyZk5VM5DwMDA7pz506u64IoiJSkJAUpCCX4UpCClKSkYAoWPPaihISEEAA6f/68xuvWFF1sl9LIzMyku3fv0p49e2j27NnUs2dPqlmzZs7/s0qlkpo3b05jx44lf39/+ueffyghIUHqsBkTTUn6b90bIch27x7g6QkcPZo1ObCQyYaZBgaQq9VIfv99dLh1C9YtWuDAgQN6tx565MiROHbsGKKjowXfOW7Hjh0YMWIEMjIyAAByuRyff/45Nm/enOfae7gHT3jiKI5CAUWhk9qyn/eAB9ZjvehzBvKTmZmJunXrolmzZti5c6fG69cUXWsXIb169SrPLYfw8HCo/vd7w9nZOddIQuPGjWFnZ6d3vyNY+aP/IwTvCg8n8vIicnEhkslyjwrIZEQuLvR29GhqZGhIS5Ysob179xIA2rx5s9SRC+rJkydkaGhIy5YtE7Tct2/f0pgxYwgADR48mJo3b04ASC6XU1RUVKGvDadw8iIvciEXkpEs1ydPGcnIhVzIi7wogiIEjbk0/P39SS6X0/3796UORXS61C5iSk1NpatXr9KWLVvI29ubOnToQJUrV84ZTbC0tKQPP/yQfHx8aOvWrXTt2jVKS0uTOmzGSqR8jBDkJykp69TCtLSsswlcXHK2Ix4zZgwOHz6Me/fuYcyYMdi7dy/Cw8NhZ2cncdDCmDVrFlavXo2YmBhUqlRJkDJv3ryJ/v37IyoqCv7+/hg5ciQePXqExo0b47PPPsP69euLXVYSknAXd5GGNBjDGC5w0aqjc9++fYuaNWti5MiRWL58udThaIy2t4umERFiYmLyrHKIjo4GABgaGuZs0/zuBkuVK1eWOHLG8qffkwpLKTw8HA0aNMC2bdvw8ccfo379+mjUqBEOHz6s88OCycnJqFmzJj7//HOsWrVKkDK3bt2KL774Ao6Ojti1axfqv7Mx1Js3b2BmZqZ3y/RmzJgBf39/xMTE8D78LJeEhIScbZqzE4WwsDCk/e+UVHt7+zyrHJycnHT+dwvTfZwQFKBbt2549uwZrly5gkOHDqFHjx4ICgrCmDFjpA6tTAICAjBp0iTcvXsXTmXcU+Ht27eYOHEitm7dipEjR2Lt2rWoUKGCQJFqtydPnsDR0RFLliyBr6+v1OEwLadSqXDr1q1cIwmhoaGIi4sDAJibm+cc9JSdLNSvXx9KpVLiyFl5wglBAY4ePYrOnTvj77//RseOHTFq1Cjs2bMHN27cgL29vdThlYparUa9evXQuHFj7N69u0xlhYWFoX///oiJiUFAQAA+//xzgaLUHcOHD8eJEycQFRXFy9NYiRERnj17lueWw+3bt0FEkMvlqFevXq6RBHd3d1hbW0sdOtNTnBAUgIjQuHFj2Nvb48CBA4iPj0fDhg1Rr149HDlyRCeH9/bt24fevXvj33//RatWrUpVBhFh48aN8PLyQu3atbFr1y7Uq1dP4Eh1w7Vr1+Du7o6dO3diwIABUofD9MTbt29x48aNXInC9evX8fbtWwBA9erV85wM6eLione35ZjmcUJQiC1btmDkyJG4efMm6tWrl7OzX2BgIDw9PaUOr8Q6dOiAjIwMnDlzplSvT0xMxPjx47Fjxw6MGzcOq1atgomJicBR6paPPvoICQkJOH/+vE4miUw3qNVqREVF5brdcO3aNTx+/BgAYGpqikaNGuVKFBo2bFhubuExYXBCUIi0tDQ4OjqiV69eObPkx44di507dyIsLAyOjo7SBlgCly9fRrNmzbBnzx707du3xK8PDQ1F//798fTpUwQFBWHgwIEiRKl7Dh06hI8//hinT59G27ZtpQ6HlTNxcXF59ky4efMmMjMzIZPJULt27Ty3HGxtbTl5ZfnihKAIixYtwsKFC/Hw4UNYW1sjISEBDRo0QO3atXH06FGdOU1t8ODBOHfuHO7cuVOioUUiQmBgIHx8fODq6opdu3ahdu3aIkaqW9RqNRo0aIC6desiJCRE6nAYQ2pqKiIiIvIcIZ2QkAAAsLa2znPLoW7duoJvUMZ0T/namKgUXrx4QSYmJjRv3ryc7x09epQA0Lp16ySMrPgePnxIcrmcVq9eXaLXxcfH02effUYAaOLEiZSSkiJShLotKCiIZDJZnq2ZGdMWarWaoqOjKSQkhObOnUu9e/cmR0fHnI2VjI2NqWnTpjRq1Chas2YNnTp1iuLj46UOm2lY+d2YqAQmTpyIPXv24MGDBznLgMaPH49t27YhLCwMtWrVkjjCwn355ZcICgrCo0ePYGZWvI1kLl26hAEDBuDFixfYuHEj+vXrJ3KUuis1NRX29vbo378//P39pQ6HsWJ7/fp1nj0TwsPDkZ6eDgBwcnLKs2eCvb0933LQU3zLoBju3LmDunXrIigoCKP/dwRyYmIiGjZsCAcHBxw/flxrbx0kJibCzs4O48ePx9KlS4u8noiwdu1aTJ06FY0bN8Yvv/yi9QmPNpg3bx6WLVuGmJgYWFpaSh0OY6WWkZGByMjIPLccXr58CQCoVKlSnlsObm5uMDY2ljhyVlacEBTTJ598gjt37uDGjRs52fHff/+NTp06Yc2aNfDy8pI4wvytWrUKX375Je7du1fk1suvX7/G6NGjERISAm9vbyxZsoR/yIvp+fPnsLe3x9y5czF9+nSpw2FMUESEx48f59ov4dq1a7hz5w4AQKFQwM3NLc82zVWqVJE4clYSnBAU06lTp9C+fXscPnwYXbt2zfn+pEmTsGnTJly/fh0uLi4SRpiXSqVC7dq18f777+Onn34q9Nrz589jwIABePPmDbZs2YLevXtrKEr9MW7cOBw4cAD379+HkZGR1OGwckLKMyYSExMRFhaWK1EICwtDSkoKAMDOzi7PLYdatWpp7Yiq0Ao5MkcrcUJQTESEFi1aoFKlSjh69GjO95OSktC4cWPY2tri5MmTWrU5yO7du9G/f39cvnwZTZo0yfcaIsKKFSswbdq0nCN9HRwcNBypfrh58ybc3NywdetWDBs2TOpwmB6LQAQCEYhDOIRoRIPw/7+aZZChFmqhO7pjPMbDDW4ajS0zMxN37tzJc8vh2bNnAAAzMzM0atQoV6LQoEEDmJqaajROsUREAIGBwKFDQHR01nG62WQyoFYtoHt3YPx4wE2zTVMkXmVQAjt27CAAdO3atVzfP3HiBAGgFStWSBRZ/lq1akUdOnQo8PkXL15Qjx49CAB9+eWXlJ6ersHo9FP37t2pcePGpFarpQ6F6aFoiiYP8iAQSEGKXMdR//cr+3kP8qBoipY6dHr27Bn9+eeftHTpUho0aBC5urqSgYEBASADAwNydXWlQYMG0ZIlS+iPP/6gZ8+eSR1yiURHE3l4EAFECkXWnwU9sp/38Mh6nbYoSf9d7hOC9PR0qlmzJg0fPjzPc5MnTyalUkm3bt3SfGD5OHPmDAGg/fv35/v8P//8Q3Z2dlSlShU6cOCAhqPTX8eOHSMAdOzYMalDYXomiIJIScoiE4H8EgMlKSmIgqR+C3kkJyfThQsXaMOGDTRx4kR6//33yczMLGc5pI2NDXXp0oW+/vpr2rFjB0VERJBKpZI67DyCgoiUyqITgfwSA6Uy6/XagBOCEvruu+/I0NCQnjx5kuv7SUlJ5OLiQq1bt9aK/2H79u1LdevWpczMzFzfz8zMpG+//Zbkcjm1bduWYmJiJIpQP6nVamrcuDF169ZN6lCYHllIC0uUBBT0tZAWSv1WipSZmUl3796lPXv20KxZs6hHjx5Us2bNnCTBxMSEmjdvTmPHjqV169bRmTNnKCEhQbJ4Fy4sWRJQ0GOhFjQNJwQlFB8fT2ZmZjRjxow8z50+fZpkMhl99913EkT2/6KiosjAwIACAwNzff/58+fUtWtXAkDTp0+njIwMiSLUb1u3biUAFB4eLnUoTA8EUZAgyUD2VzAFS/2WSuXFixf0119/0YoVK2jYsGHUqFEjUigUOYmCi4sL9evXjxYsWED79++nmJgY0W/dBQUJkwxkP4IlbhpOCErB29ubLC0tKSkpKc9zPj4+ZGxsTBERERJElmXy5MlUpUoVevv2bc73Tpw4QdWrVydra2v6448/JIutPEhLSyNbW1saM2aM1KEwHRdN0aQkpaAJgZKUWjGnQAipqal09epV2rx5M3l7e1OHDh2oUqVKOUmCpaUlffjhh+Tr60s//vgjXbt2rVhzpdLS0qhdu3a0fPnyApOK6Ois4X4hEwKlUto5BZwQlMK9e/fIwMAg362L3759S3Xq1KEWLVpI8gn81atXVKFCBZo9ezYREalUKpo/fz4ZGBhQhw4d6PHjxxqPqTxavHgxGRsbU2xsrNShMB3mQR4lnjNQ1JeCFORBHlK/NdGo1Wp68OAB7d27l+bNm0effvop1apVKydJMDIyovfee49GjBhBq1atohMnTtDr169zlXHlypWc63v27EmvXr3KU4+HR8nnDBRnToGHhE3DCUEpffbZZ+Ti4pLnHj0R0dmzZ8nAwICWLFmi8biWLl1KRkZG9PTpU3r69Cl16tSJZDIZzZkzRyvmNpQXL1++JFNTU5o7d67UoTAdFU7hgiYC//2KIOlGMaUQHx9Pp06dorVr19Lo0aOpadOmZGxsnNPxOzg4UO/evWnOnDk0adKknO/L5XKys7Ojixcv5pQVHi5sIvDfh1QDzJwQlNK5c+cIAP3+++/5Pv/ll1+SkZER3bhxQ2MxpaWlUY0aNWjUqFF07NgxsrGxIRsbG/rrr780FgP7fxMnTiRra2tKTk6WOhSmg7zIS/DRgXdHCbzIS+q3KLmMjAy6ceMG/fTTT/Tll1+Sh4cHWVtb5yQD2Q+ZTEYGBgY0bdo0UqvV5OUl/OjAu6MEXhI1DScEZdCmTRtq165dvs+lpKRQvXr1qFmzZhq7dfDTTz8RAPL09CSZTEYfffSRzq3l1Sd37twhmUxGGzZskDoUpoOcyVnUEQIXcpH6LWoltVpNLVq0yJMUZD/2799Pzs7ijhC4SNQ0fNphGfz222/o27cvLl68iGbNmuV5/sKFC2jdujUWLFiAGTNmiBoLEaFRo0Z4/Pgx3rx5g3nz5mH69OlatXNiedSnTx/cunULN27cKDfbtbKyS0QiLGABQpG/cktNBhkSkKCxbY51BRHBwsICiYmJMDAwgFqthoODA7p164YWLVqgb98RqFRJhqJ7w9KTyYCEBM1vc8w7FZaBSqWiWrVq0aBBgwq8Ztq0aWRoaEjXr18XNZalS5cSkDWr9sSJE6LWxYrv9OnTBIAOHjwodShMh1ylq6KODmR/XaWrUr9VrZOZmUlNmjQhDw8PWr16Nd2+fTvX81evijs6kP24elXz751HCMpo7dq18PHxQXR0NOzt7fM8n5aWhqZNm8LIyAjnz5+HoaGhoPWrVCrMnj0bS5YsgZmZGaKiolC1alVB62ClR0Ro2bIlzM3NcezYManDYTriPM6jFVqJXs85nENLtBS9Hn1y/jzQSvymwblzQEsNN01J+m8e78zHyJEjUbFiRaxduzbf542NjbFlyxZcv34d3377raB1x8TEoEOHDli2bBmArKOOORnQLjKZDH5+fvjrr78QGhoqdThMRxhDM8eOa6oefaKpE+G1/eR5TgjyYWZmBk9PT2zYsAEJCQn5XtOsWTNMnz4dCxYsEKxTOHjwINzd3fHgwQP07NkTNjY2GDp0qCBlM2H17dsX9vb2WLlypdShMB3hAhfIIBO1DhlkcIF2HdmuC1xcsu7xi0kmy6pHm3FCUIBJkyYhOTkZmzZtKvCa2bNnw9XVFSNGjEB6enqp68rIyMDUqVPRo0cPtGnTBn/99Rf+/PNPTJo0CcbanlKWUwqFAlOmTMHPP/+MJ0+eSB0O0xJEhHnz5mHu3LnYsGEDDh06hGvXruHly5eoQBVQC7VErd8ZzjyhsBTMzLKOMBaTs7PmJxSWmNCTEvTJ0KFDycHBodAlhpcvXyaFQkFz5swpVR337t2jli1bkkKhyNlSc/78+WRiYkJxcXGlDZ1pQHx8PFWsWJGmT58udShMS6SlpZGxsTHJZLJ8171/cOUD3odAS/E+BLwPQaGyt7rctWtXodfNnTuX5HI5Xb58uUTlh4SEUKVKlcjBwYHOnTtHRFl7HVStWpXGjx9f6riZ5vj6+lLlypXzPQODlU+DBw/OdUBP9sPExIR+v/27qCsMyttOhULinQo5IShSx44dqWXLloWesJWWlkbu7u7UoEEDSk1NLbLM1NRUmjJlCgGgPn365NpTe+PGjQSAbt26JUj8TFz3798nuVxO/v7+UofCJKZSqejw4cPUvn37PCMDFhYWOYejiXGWgUGmAXmo9fcsAyGp1Wp6/fo13bx5k06cOEE7d+6kuXPn0vDhw8nDQ81nGQhZoL7Zv38/AaAzZ84Uel1oaCgpFAqaOXNmodfdvXuXmjZtSkZGRrRmzZpciYZarab69etTz549BYmdacaAAQPI2dmZz5Uop27cuEFffvkl2draEgByc3MjMzMzAkAGBgZkYmKSa898wU87VIPwFtTbuzclJiZK+C+h/Y4dO5brrIP/PqZOXcenHQpZoL7JzMykunXr0qefflrktfPnzye5XE4XLlzI9/ldu3aRubk51apViy5dupTn+T/++IMA8CZEOub8+fMEgEJCQqQOhWnIixcvyN/fn5o1a0ZA1uZhkyZNoosXL5Jarabp06cTADI0NKTjx4/neX0QBQk6QjD237FkZmZGderUodDQUM3/g+iIW7dukVwuLzAhcHd3p6AgYROC4GBp3zMnBAILDAwkmUxGd+/eLfS69PR0atKkCbm5uVFKSkrO91NSUmjChAkEgPr370/x8fH5vr5z587UtGnTQm9PMO3Utm1batu2rdRhMBGlp6fTvn376NNPPyVDQ0NSKBTUq1cv+vXXX/PcKrx79y45OjrS3r17CyxvIS0UJBlYRIuIKKuza9y4MRkbG1NgYCD/HilA48aNC0wIsg+uW7hQmGRg0SKJ3yxxQiC45ORkqlKlCnkVY5poWFgYGRoa0tdff01ERLdv3yZ3d3cyNjamgICAAn9Ir1+/TgBo+/btgsbONOO3334jAHT+/HmpQ2ECCw0NJR8fH6patWrOp8iVK1dSbGxsmcsOoiBSkrLEcwoUpCAlKSmYcn/8fPfDx4ABA8rt7+z8qNVq2rlzZ74nHxoYGNCAAQNyXR8UlDXcX9I5BQpF1uukHhnIxgmBCGbPnk0VKlTINQGwIIsXLyYDAwOaP39+sYfxRo4cSXZ2dpSeni5UyEyDVCoVOTs75/mlwnRTbGwsrVy5MufTpLW1Nfn4+IgyHB9N0eRBHjkdfVGJAAjkQR4UTQXfmP7ll1/I3NycnJ2dS7z6SR9FRUVRly5dCAD17t2bmjZtmishkMlkOZM+3xUdnTUhMLujLyoRALKul3LOwH9xQiCCZ8+ekZGRES1ZsqTIaxMSEsjKyooA0MCBAykhIaHQ658+fUpGRka0bNkyocJlEvD39ye5XE7379+XOhRWCmlpafTrr79Sr169SKFQkKGhIfXt25f27dunkUQ9nMLJi7zIhVxIRrJciYCMZORCLuRFXsVeWvjuBOa1a9eWy1sIaWlptGjRIlIqlWRvb0+BgYE5t1Xs7OxyRgcGDhxYaDnh4Vn7CLi4EMlkuRMBmSzr+15e0i0tLAwnBCIZNWoUVa9endLS0gq8JiIigho0aEBKpZLkcjn5+fkVWe6sWbPIzMyMXr9+LWC0TNOSkpKocuXK5OvrK3UorJjUajVdvHiRJk2aRJaWlgSAmjVrRv7+/vTixQvJ4kqkRLpKV+kcnaOrdJUSqXSrB1JTU2ny5MkEgD799NNy9Tvm5MmT5OrqSnK5nL788kvatGlTzojttWvXKCMjg9q3b08GBgYUGRlZ7HITE7NOLTx3LutPbV/YwQmBSG7cuEEAaNu2bfk+v3XrVjI1NSVXV1cKCwujpUuXkkwmK3TJ4tu3b6lKlSo0ZcoUkaJmmjR9+nSqWLFiuf9Z0XZPnjyhZcuWUf369QkA2dra0ldffUXh4eFShyaK3377jSpVqkSOjo56P8/lxYsXNHLkSAJArVu3pnPnztGYMWMIAA0dOjTX0syEhIRcS0L1EScEIurSpQu5u7vnGn5LSkqiESNGEAAaMWJEzq51KpWKWrVqRbVr16a3b9/mW15AQAAZGBhQtDbddGKl9vjxYzI0NKTly5dLHQr7j5SUFNq5cyd169aNDAwMyNjYmAYOHEiHDx8udHtyfXHv3j1q0aIFGRoa0ooVK/TuFoJaraYtW7aQlZUVVapUidavX083btygBg0akImJCW3cuFHv3nNxcEIgoiNHjhAA+vvvv4koa1WBq6srmZqa0tatW/Ncf/PmTTI2NiYfH588z2VmZlKdOnWoX79+osfNNGfYsGFkb29fLjoZbadWq+ns2bPk6elJlSpVIgDUpk0bWr9+fbkaPs+WlpZGfn5+BIB69epFL1++lDokQdy8eTNnh8jBgwfTs2fPaMuWLWRqakpubm45ywnLI04IRKRWq6lhw4bUvXt3Cg4OJhMTE2rQoEG+M1Szff/99ySTyejUqVO5vr9v3z4CQP/++6/YYTMNCg0NJQC0c+dOqUMptx4+fEiLFi2iOnXqEACqWbMmzZw5k7cE/599+/aRpaUl1axZk86ePSt1OKWWnJxMs2bNIkNDQ3JxcaEjR45QUlISDR8+nADQyJEjy/05I5wQiOyHH37IWa4yduxYSk5OLvR6lUpFbdq0IWdn51z/c7Zv355at24tdrhMAp06daLmzZuXyyFKqSQlJdG2bdvoo48+IplMRqampvT555/TsWPHKDMzU+rwtM7Dhw+pTZs2JJfLaenSpTr3b3TkyBFydnYmIyMjmjNnDqWkpND169epXr16VKFCBfrxxx+lDlErcEIgotDQUKpduzbJZDL68MMPi/26W7dukYmJCU2ePJmIiC5dukQAaM+ePWKFyiR08OBBAkCnT5+WOhS9plar6eTJkzRq1Kic8wPatWtHmzZtKnK5L8vafXHatGkEgLp160bPnz+XOqQiPX36lAYNGkQAqEOHDnTz5k1Sq9UUFBRESqWSGjZsSDdv3pQ6TK3BCYEI1Go1BQQEkLGxMbm7u5O3tzcplcoS/QCtWrWKss8qGDx4MDk5OfGBOHoqMzOTXF1d6ZNPPpE6FL0UHR1N33zzDTk5OREAcnJyom+++YaioqKkDk0nHT58mKysrKh69ep5bm1qi8zMTAoICCALCwuysrKirVu3klqtpoSEBBo8eDABoHHjxhU5YlvecEIgsPj4eOrfvz8BoC+++IJSUlLoxYsXZGJiQvPmzSt2OZmZmfTBBx9QzZo1SS6X0+rVq0WMmkltw4YNJJPJ6M6dO1KHohcSEhJo06ZNOZPHzMzMaNSoUXTy5EmdG+7WRo8ePaJ27dqRgYEBLVy4UKv+Ta9du0atWrUiADRq1KicPSKuXr1KtWvXJjMzM/r5558ljlI7cUIgoEuXLpGzszOZm5vTrl27cj03YcIEqlq1aq6DjIpy584dUigUZGRkxEOaei45OZmsra1p4sSJUoeiszIzM+nYsWP0+eefk6mpKclkMvroo49o27Zt5X6ymBgyMjJo1qxZJJPJyMPDg549eyZpPElJSTR16lSSy+Xk5uaWM3qhVqvphx9+yBmxvX37tqRxajNOCASgVqtpzZo1ZGRkRM2aNct3KPLWrVskk8kouASnWCQkJJCJiQkBoL/++kvIkJkWmjt3LpmamurN8i5NuX37Ns2cOZNq1qxJAKhOnTq0aNEievjwodShlQtHjx4lGxsbqlatmmS/p/bt20f29vakVCpp8eLFOTvExsfH02effUYAaOLEiSX6QFYecUJQRq9evaI+ffoQAJoyZUqeo03f1atXL3Jzcyv2bPJVq1aRQqGgVq1akYODA48S6LnY2FgyNjamxYsXSx2K1nv9+jWtX7+eWrduTQDIwsKCPD096ezZs7xaQwJPnz6lDz/8kGQyGc2dO1dj851iYmJyfv927do114exixcvUq1atcjc3Jx2796tkXh0XflNCATYZPr8+fPk6OhIlSpVopCQkCKvP3nyJAGgw4cPF3ltRkYGOTo60pAhQyg6OpoqVKhAnp6eJY5RFwm1N7suGjNmDNna2hZ6BoZUpG4XlUpFhw8fpoEDB5KxsTEZGBhQt27daOfOnTw5TAuoVCqaN28eGRgYUMeOHenJkyei1ZWRkUErV64kMzMzqlatGv3yyy85iaBarabVq1eToaFhgSO2LH/lKyHIPobK2Tn/Y6icnbOeL2KPcrVaTcuXLyeFQkEtW7Ys9ol1arWamjZtSh4eHkVeu3v3bgKQcxxp9n4GR44cKVZduib79DZncs739DZnciYv8qJw0s/947OFh4cTgHx3spSCNrRLeHg4ffXVV2Rra0sAyM3NjZYtW0aPHz8WrU5WesePHydbW1uqWrWqKL+vLly4QO+99x7JZDKaOHEixcfH5zz37oitt7d3oSO2LK/ykRAIeFD1y5cvqWfPngSApk6dWuKjTnfs2EEA6Nq1a4Ve16pVK+rQoUPO3zMzM6lTp05Us2ZN7fq3LSMxznfXdd26daPGjRtLOvQtdbu8ePGC/P39qVmzZgSALC0tadKkSXTx4kW+JaADYmNjqXPnziSTyWjmzJmCbM0dHx9PkyZNIplMRu7u7nkOXjp37hw5ODhQpUqV6Pfffy9zfeWR/icEQUFESmXRiUB+iYFSmfX6/zlz5gzVrFmTLC0t6cCBA6UKJz09nezs7GjEiBEFXnP27FkCQPv27cv1/fv375OZmRmNGTOmVHVrmyAKIiUpi+xw8uuAlKSkIAoquhIddOzYMQJAx44dk6R+qdolPT2d9u3bR59++ikZGhqSQqGgXr160a+//sqf9HRQZmYmLV68mORyOX3wwQcUExNTqnLUajXt2rWLbG1tqUKFCrRixYpcCYZarabvv/8+Z75VcUdsWV76nRAsXFiyJKCAR+aCBbRkyRKSy+X0/vvvl3n28nfffUeGhoYF3mPr27cv1alTJ9+1vRs2bCj2PARttpAWlqizKehrIS2U+q0ITq1WU6NGjah79+4ar1uKdgkNDSUfHx+qWrUqASB3d3dauXIlxcbGivhOmaacPn2aatSoQVWqVKGDBw+W6LXR0dHUrVs3AkCffPJJnt+9L168oB49epR6xJblpr8JQVCQIMlA9mMUQNOnTxdk6Ov169dkZmZGM2bMyPNcVFQUGRgYUEBAQL6vVavV1LlzZ6pRo4bOnsAWREGCdDrZX8FU/KWcumLr1q0EoNCDsISmyXaJjY2llStXUuPGjQkAWVtbk4+PD4WGhmrs/TLNiYuLo48//pgA0Jdffllkx52WlkbffvstmZiYUM2aNWnv3r15rvnnn3/Izs6OqlSpUuoRW5abfiYE0dFZw/0CJQNqgFRGRvnOKSgtb29vsrS0zLNhyuTJk6lKlSr09u3bAl/78OFDMjc3p5EjRwoWj6ZEUzQpSSlox6Mkpd7NKUhLSyNbW1saO3asRurTRLukpaXRr7/+Sr169SKFQkGGhobUt29f2rdvH3+yKwcyMzPpu+++I4VCQa1bt6YHDx7ke93p06epfv36JJfLyc/PjxL/swIsMzOTvv32W5LL5dS2bdtS34pgeelnQuDhUfI5A8WZU1CM1QHFFR0dTQYGBrRu3bqc771+/ZoqVKhAs2bNKvL1GzduJAA6lxl7kEeJ700X9aUgBXmQcG2jLRYvXkzGxsYaGToXrV3UHnTx4kWaNGkSWVpaEgBq3rw5+fv752wpy8qXf//9l+zt7aly5cq5Pvm/fPmSRo8eTQCoZcuW+Y4WPX/+nLp27UoQcMSW/T/9SwjCw4VNBP77EHAI97PPPiMXF5ecuQJLly4lIyMjevr0aZGvVavV1K1bN7K1taVXr14JFpOYwilc0A7nv18RpLnhdU14+fIlmZqa0jfffCNqPWK3C+qBbG1t6auvvqLwIpb0svLh5cuX1Lt3b8peHrhx40aysrIiCwsL+uGHH/Ld2OjEiRNUvXp1sra2pj/++EOCqPWf/iUEXl7Cjw68O0rg5SVYqP/++y8BoN9//53S09OpRo0aJboN8OjRI7KwsKDPP/9csJhKKzMzk27cuFHokjAv8hL8U2j2l4IU5EXCtY22mDhxIllbW5dp453Hjx8X+mlczHaRqWTU634v/iTH8lCr1TRjxgySyWQEgHr06JHvhyGVSkXz588nAwMD6tChA+8/ISL9SwicncUdIXBxETTcNm3aULt27einn34iABQWFlai12/ZsoUA5DvpRpOyl8o1btyY9u/fn29i4EzO4nwC/d+XCwnbNtrgzp07JJPJKCio9EssmzZtSkqlkqZOnZrv7QduF6ZpKSkpNGfOHDIyMqLq1atTtWrVyMLCgn799ddc1z19+pQ6depEMpmM5syZw0fAi0y/EoKEhLw7EAr9kMlKtc1xQfbs2UMAqF69etSlS5cSv16tVlOPHj2oWrVqkt6T/f333wkAGRgY5JsYJFBCnp3uhP6SkUwvtzn+5JNPyNXVtdRHzNauXZsAkFwuz5MYcLswTTt27BjVrl2bDA0NaebMmZScnEyvX7+mvn37EgCaNGkSpaSk0LFjx8jGxoZsbGz4cDcNKUn/LSMiQhESEhJgYWGBN2/ewNzcvKjLhRUaCrz3nujVBHp6ItbWVpCy1Go1li9fjrdv32Lo0KFwcXEpcRmJiYlYt24dXFxc0K9fP0HiKqnIyEjs3Lkz5+8ymQxEBBsbG/zwww+o9WktvAfx28Yz0BO2scK0jbZ48OABNm/ejCFDhqB27dolfv2aNWvw6tWrnL/LZDLI5XJ06dIFC/YvQBNZEyHDzddVXIU73EWvh2mv58+fw9fXF9u3b0e7du0QGBgIV1fXnOeJCAEBAfD29kaVKlUQGxuLTp064aeffoKNjY2EkZcfJem/tT8hOH8eaNVK9Gp6WFnhqpGRYOU9f/4cKpUKVatWhUKhKFUZKSkpeP36NSwtLaFUKgWLraT152fo0KGYtG0SWkH8trHqYQWjq8K1jbaIi4uDgYEBqlSpUuLXxsbGIjMzM8/3jYyMcOTNEXRQdhAgwsKdwzm0REvR62HaR61WIzg4GF9//TXkcjm+++47jBgxAjKZLM+1T548Qa9evXD58mUYGRlhy5YtGDRokARRl08l6r+FHnIQ3NWr4t4uyH5cvSpYyJGRkQSATExMaOrUqaUuR61WU+/evalq1aoUFxcnWHzFlX3LAAApFAoCQB9//DFdunSJiIiu0lVRh6Wzv67SVY2/d034+eefCQBdLcX/e9m3DACQTCYjKysrWrVqFSUnJ3O7MFFdv36d2rRpQwBoxIgRhf5u+uOPP8jKyoqqV69OBw8epIEDBxIA8vT05NMsNUS/5hAkJurcHILx48eTjY0N+fr6krm5eZn+3Z4+fUqWlpY0YMAAweIrrncTgncTgWyJlMj3qssgIyOD7O3tadiwYSV+bZ06dQhArkQgG7cLE0NSUhJ99dVXpFAoqF69enTixIkCr83IyKBp06YRAOratSs9f/6ciLI+5GzYsIGUSiU1atSIIiMjNRV+uaVfCQGRTq0yiIuLI6VSSQsWLKCYmBhSKBS0cuXKMpWZ/Uly165dwgRZTM+fP6fJkyfnSQTexbPZy2b58uVkaGhY4mVXGzdupNWrVxf4KYvbhQnpwIED5ODgQMbGxrRgwYJCD6Z6+PAhvf/++ySXy2nJkiX5Tpy9du0a1a1blypUqEDbtm0TM/RyT/8SAh3ah2DBggVkYmKSM4w2ZMgQcnBwKNOabbVaTX379iUrKyutOxyG9yEom/j4eKpYsSJNnz5d0HK5XZgQHj16lLNSwMPDg+7cuVPo9QcOHCBLS0uys7Ojf/75p9BrExMT6fPPPycANGrUqEK3dmelp38JgY7sVJiSkkI2NjY0fvz4nO9dvnxZkE/3sbGxZGVlRX379tWqs+N5p8Ky8/X1pcqVK+c5A6MsuF1YWahUKlq9ejVVrFiRbGxs6Oeffy709056ejr5+fkRkLUZUXGXS6vVatq0aROZmJiQm5sb3bhxQ6i3wP5H/xICIp04y2DTpk0EgG7dupXr+x06dKCWLVuWuSPftWsXAaCdO3eWqRyh8VkGZXP//n2Sy+Xk7+8vaLncLqw0Ll26RE2bNiWZTEYTJkwo8gTWe/fuUcuWLUmhUNDy5ctL9XsuPDyc6tevTyYmJrRp0yat+tCj6/QzIRD4tEMCssoT6LRDtVpNDRo0oJ49e+Z5bv/+/QSAzpw5U+Z6+vfvT5aWlsU6G0FT+LTDshswYAA5OzsLumsbtwsriTdv3tDkyZPJwMCAGjVqRP/++2+RrwkJCaFKlSqRg4MDnTt3rkz1v337lkaNGkUA6PPPP89zIiIrHf1MCIiIgoKETQiCCz7bvaT+/PNPApDvzNvMzEyqW7cuffrpp2WuJy4ujqpWrUq9e/fWqiw6iIIE7XiCSbi20QXnz58nABQSEiJoudwurChqtZp2795N1atXJ1NTU/ruu++KPLo6NTWVpkyZQgCoT58+gh7Gtm3bNqpQoQLVrVuXrl27Jli55ZX+JgRERAsXCpMMLFokaFidO3emJk2aFNhJBwYGkkwmo7t375a5rt9++40A0E8//VTmsoS0kBYK0uksImHbRle0bduW2rZtK3i53C6sIPfu3aPu3bsTAOrVqxc9ePCgyNfcvXuXmjZtSkZGRrRmzRpRPphERkZSo0aNSKlU0vr167Xqw4+u0e+EgChrpECpLPmcAoUi63UCjgwQEYWFhREA2r59e4HXvH37lqpUqUJeAq1oGDRoEFWuXJmePHkiSHlCCaIgUpKyxPeuFaQgJSnL9SfQ7ETv/PnzgpfN7cLelZ6eTkuXLiUTExOys7Mr9sjUrl27yNzcnGrVqlXocmQhJCcnk6enJwGggQMHak//o2P0PyEgyrr37+Hx/x19UYkAkHW9QHMG3jVy5Eiys7Mrcpht9uzZVKFCBUGG1168eEE2NjbUs2dPrcueoymaPMgjp0MpqsMBgTzIo9zfm1apVOTs7CzaJlTcLoyI6MyZM9SgQQMyMDAgHx8fSkhIKPI1KSkpNGHCBAJA/fv3p/j4eA1EmmXnzp1UsWJFcnFxoStXrmisXn1RPhKCbOHhWfsIuLjk3dFQJsv6vpeXYEsL/+vp06dkZGREy5YtK/a1S5YsEaTu7J0Et27dKkh5QguncPIiL3Ihlzw758lIRi7kQl7kxUvY3rF27VqSy+V0//590ergdimfXr58SWPHjiUA1Lx582J3rrdv3yZ3d3cyNjamgIAAST6A3Llzh5o0aUJGRkbk7++vdR+CtFn5SgjelZiYdSbBuXNZf2pgluqsWbPIzMysyKU52UaNGkXVq1entLQ0Qer//PPPycLCgh49eiRIeWJJpES6SlfpHJ2jq3SVt70tQFJSElWuXJl8fX01Uh+3i/5Tq9W0bds2sra2JnNzc/L39y/2apYdO3aQmZkZ1alTh0JDQ0WOtHCpqak0adIkAkB9+/Yt9u/c8q78JgQalj0vYMqUKcV+TfZ8A6G263z16hXZ2tpSt27dOGvWE9OmTaOKFSvyzxsrs1u3blGnTp1yhvqLu0V2cnIyjRkzhgDQkCFDinVbQVP27NlDFhYW5OTkRBcuXJA6HK3HCYGGBAQEkIGBAUWXcF5Cly5dyN3dXbAO/MCBAwSANm3aJEh5TFqPHz8mQ0NDWr58udShMB2VmppK33zzDRkZGZGTkxMdPny42K+NiIigBg0akImJCQUHB2vlB43o6Ghq3rw5GRoa0sqVK7UyRm3BCYEGZGZmUp06dahfv34lfm32ngV///23YPGMGDGCzM3N6eHDh4KVyaTz+eefk729fZnOwGDl099//0116tQhhUJB06dPL9EZAVu3biVTU1NydXWlsLAwEaMsu7S0NPLx8clZMvny5UupQ9JKnBBowL59+wgAnT17tsSvzd7V8OOPPxYsntevX1ONGjWoc+fOnC3rgatXr2rlNtVMez1//jznsKC2bduW6FyApKQkGjFiBAGgESNGCHquhtj27t1LlStXJnt7+1L9PtZ3nBBoQIcOHah169alfn32uQc3b94ULKbDhw8TANqwYYNgZTLpfPjhh9S8eXNO8FihMjMzKSgoiCpXrkyWlpYUHByc75HDBQkLCyNXV1cyNTXV2hVLRXnw4AG1bt2aFAoFLVu2rETvX99xQiCy7BMMd+/eXeoyUlNTycbGhsaNGydgZESjR48mMzMzUZetMc04ePAgAaDTp09LHQrTUjdu3KD333+fANCwYcPo+fPnxX6tWq2m4OBgMjExoQYNGgj64UQK6enp9NVXXxEA6t69e84R9OUdJwQiGzJkCDk5OZX5IJoFCxaQUqks0Q9xUeLj46lmzZrUqVMn/mSp4zIzM6levXrUp08fqUNhWubt27c0bdo0UigUVKdOnRLPR0pISKAhQ4YQABo7diwlJyeLFKnmHTx4kKpUqUI1atSgU6dOSR2O5DghEFFMTAwpFApatWpVmct68eIFmZiY0Lx58wSI7P8dOXKEAFBAQICg5TLN27BhA8lkMrpz547UoTAtcejQIXJyciJjY2OaN28epaamluj1oaGhVKdOHTIzM6MdO3aIFKW0YmJi6IMPPiC5XE6LFi0q17cQOCEQ0ZdffkkWFhaCrcudMGECVa1alVJSUgQpL5unpydVqFChxEsimXZJTk4ma2trmjRpktShMIk9fvyYPvvsMwJAnTp1otu3b5fo9Wq1mgICAsjY2Jjc3d3p1q1bIkWqHTIyMmjmzJkkk8nIw8ODYmNjpQ5JEpwQiCQhIYEsLCzoyy+/FKzMW7dukUwmo2CBD1xKSEggBwcH6tChQ7nOjvXB3LlzydTUlJdVlVMqlYrWrl1LFStWpKpVq9JPP/1U4tuB8fHx1L9/fwJAX3zxheAfQLTZkSNHqGrVqlStWjVBl3rrCk4IRLJq1SpSKBQUExMjaLm9evUiNzc3we/5//XXXwSA/P39BS2XaVZsbCwZGxvT4sWLpQ6Fadjly5epWbNmBIDGjRtXqoPRLl26RM7OzmRubk67du0SIUrt9+TJE+rYsSMZGBjQN998kzP/a/369dSkSRO9mkPxX5wQiEClUpGjoyMNHjxY8LJPnDhBAEq0m1hxffHFF2Rqakp3794VvGymOWPGjCFbW1vBzsBg2u1JwhMavGwwyVrJyKWfCx3992iJy1Cr1bRmzRoyMjKiZs2aUVRUlAiR6g6VSkXffPMNyWQy+vDDD+nQoUOkUCgIAK1YsaLY5UhwZE6ZcEIggt27dxMAunz5suBlq9Vqatq0KXl4eAhedmJiIjk5OdEHH3zAtw50WHh4uFafbMnKLpzCaZJ6Etkk2hAykecUSmdyJi/yonAKL7KsV69eUZ8+fQgATZkypcQTD/XZ33//TVWrViUDAwMyMDAgAFSlSpVCd3TMPlTX2Tn/Q3WdnbOeDy+6aTSOEwIRtG7dmjp06CBa+du3bycAdO3aNcHLzh6BEGJlBJNOt27dqHHjxrycVM9EUzR5kEdWx6/KfRz1f78UpCAQyIM8KJrynzB8/vx5cnR0pEqVKlFISIhm34wOUKvV1L17dwKQ85DJZPT999/nuTY6msjDI6vjVyhyJwL/fWQ/7+GR9TptwQmBwM6ePUsAaN++faLVkZ6eTnZ2djRixAhRyvfy8iITE5MSz0xm2uPo0aMEgI4dOyZ1KEwgQRRESrWSDDINCk0E8ksMlKSkIArKKUutVtPy5ctJoVBQy5YteXOyAqxfvz5XMpD9sLCwyLVlc1AQkVJZdCKQX2KgVGa9XhtwQiCwfv36UZ06dUQfcl+2bBkZGhrSkydPBC87KSmJnJ2d6f333y/zhkpMGmq1mho1akTdu3eXOhQmgIW0MKt7V5ckFcj7tZAW0suXL6lnz54EgKZOnUrp6elSvz2ttXDhQjIyMspJBORyec5/jx8//n/XlCwJKOixcKHEb5Y4IRBUdHQ0GRgYaGSTn9evX5OZmRnNnDlTlPJPnTpFMpmMj9XVYVu2bCEAFBERIXUorAxWJa0qUxLw36/KU7POMThw4IDUb00nqFQqioyMpF27dtGsWbOoc+fOpFQqqWXLlhQUJEwykP0QeEV5iXFCIKApU6YUOeFE6PosLS1FO23Mx8eHlEqlzu9bXl6lpaWRra0tjR07VupQWCmo1Wpa+ftKQnLZRwZyvtQgg1QD+ufxP1K/PZ0XHZ013C9kQqBUSjunoCT9twFYgeLj47Fx40ZMmDABpqamGqlzypQpiI+Px48//ihK+QsXLoS9vT1GjhyJzMxMUepg4jEyMoKXlxd+/PFHPH/+XOpwWAncvXsXXbp0gY+JD2RGMkAmUMEywMDYAPOqzxOowPLL0xNQqYQtU6XKKlcXcEJQiKCgIKSnp2PixIkaq9PJyQmffvopVq5cCbVaLXj5pqam2Lx5M86fP48VK1YIXj4Tn6enJ+RyOQICAqQOhRVDWloaFixYgAYNGiCcwoHOAMlJ0DpUUOEojuImbgpabnkSEQEcPSpOQnD0KHBTB5qGE4ICZGRkYM2aNRgyZAiqVaum0br9/Pxw584dHDhwQJTy27RpAz8/P8yePRsRERGi1MHEY2lpiZEjR2LdunVISUmROhxWiBMnTqBx48aYP38+vL290ftQbyigEKUuBRQIACeJpRUYCCjEaRooFIBO5O9C34PQF9n7AoSFhUlSf+vWraldu3ailZ+cnEz16tWj5s2bU0ZGhmj1MHHcuXOHZDIZBWnL2iaWS1xcHA0fPpwAUJs2bej69etERORMzoJOJvzvlwu5SPzOdZezs7BzB/77cJGoaXgOQRkREZYvX47OnTujQYMGksTg5+eHU6dO4dKlS6KUb2Jigi1btuDy5cv47rvvRKmDicfFxQW9e/fGihUrRLm1xEpHrVZj06ZNqFu3Lvbu3YsNGzbg9OnTaNiwIRKRiGhEi1p/FKKQhCRR69BVYWFhiI+Pz/e5xEQgWtymQVQUkKTtTSN0hqEPsnf2+/PPPyWLQaVSkZOTEw0cOFDUer7++msyNDSUbCSEld6pU6cIAB06dEjqUBhlbS/9wQcfEAAaOnRonuN2r9JVUUcHsr+u0lVp/gG0WHp6OslkMpLL5dSnTx86ceJErh0/r14Vd3Qg+3H1qubfO48QlNHy5cvRoEEDeHh4SBaDXC6Ht7c3du/ejYcPH4pWzzfffIPatWtjxIgRyMjIEK0eJry2bduiefPmWL58udShlGspKSmYOXMm3N3d8ezZMxw7dgzbtm1D1apVc12XhjSNxKOpenQNESEzMxMhISHo0KEDrK2tMWfOHDx8+BBpGvon01Q9pcUJwX/cvn0b+/fvh6+vL2QyodYFlc7IkSNhZmaGtWvXilaHUqnEli1bEBoaiqVLl4pWDxOeTCaDr68v/vrrL1y7dk3qcMqlP//8Ew0aNMD333+PGTNm4Pr16+jUqVO+1xrDWCMxaaoebfb27VtER0fj7Nmz+O233xAUFJTn9/nLly+xYMECODg44M0bzSzhNdbyppERUZHrXxISEmBhYYE3b97A3NxcE3FJZsKECQgJCcGDBw9grAWt9/XXXyMwMBAxMTGi/tvPmjULy5Ytw8WLF9G4cWPR6mHCUqlUcHZ2RocOHbB161apwyk3nj59Ch8fH/zyyy/o2LEjAgICULdu3UJfk4QkmMMcBGGXHL5LBhkSkAAzmIlWh1TS09Px/PlzPHv2LOcRGxub6+9PnjzBs2fPkJycXOxyDQ0NERUVCweHyii6Nyw9mQxISADMNNw0Jem/OSF4x4sXL2Bvb48ZM2Zg1qxZUocDAHj06BGcnJzw3XffwdvbW7R60tLS0Lx5c8jlcly4cAGGhoai1cWEtXz5ckyfPh33799H9erVpQ5Hr2VmZiIwMBAzZsyAkZERVqxYgaFDh+b69BkVFQUiQo0aNWBiYpLr9S5wQRSiRIvPBS64gzuilS80tVqNFy9e5OnY8+v0X758mef1JiYmMDIyAhEhPT0dqampOc8ZGBjA1tYWjo6OcHFxQUhICBISEnK93tPTEytXroSJiQlcXLIm/onFxQW4I0HTlKT/FmnVpW4KDAwEAIwfP17iSP6fnZ0dBgwYgFWrVmHSpElQiLRQ1tjYGFu2bEGLFi2wePFizJ07V5R6mPDGjBmDefPmwd/fH4sXL5Y6HL0VGhoKT09PXLhwAWPGjMHSpUthaWmZ65r09HTUrl0b2Z+zzM3NUb16dVhZWSEjIwNNQprgge0DqCDw7jfI2oegG7oJXm5JERESEhIK7dyzH8+fP8+zY6qZmRksLCxgYmICuVyOzMxMKJVKVKxYEYmJiTnXKRSKnA7fwcEBjo6OuR7Vq1fP9fvyxo0buHz5MgDA1tYWv/76K1q3bp3zfPfuWXsFCL0xUVasQDfpm6ZIPELwP2lpaXBwcECfPn20bge4K1euoGnTpti1axc+++wzUeuaO3cuFi9ejAsXLuC9994TtS4mHF9fX2zZsgUxMTGoUKGC1OHolaSkJMyZMwerV6+Gq6srAgMD0bZt2wKvb968OS5fvoz8frV+s+sbfPPZN6LFGoEIuMJVlLJTUlIK7dzffaT9Z/acUqlEtWrVYGVlhYoVK8LY2BgymQwZGRlISkpCfHw8YmNj8fr165zXGBoawsHBIU9nn/336tWrQy6XFzv+ZcuWYdq0afD29saiRYvyjN5ERAD165ft36gwERGAqzhNUyi+ZVAKmzdvxqhRoxAZGVnkvUApdOzYESkpKfj3339FneyYnp6OFi1aQK1W49KlSzAyMhKtLiacBw8eoFatWlizZo1Gt9rWd7///ju8vLzw8uVLzJkzB76+voX+TKhUKkyZMgU//PBDnudWrlwJb29vdEZnHMdxQUcJFFCgIzriCI6U6HUZGRl4/vx5sYbs/zvcLpfLYWNjg2rVquU8LCwsYGhoCLVajbS0NCQmJuLFixd4/Pgx7t+/n6vDNzIyKrCzd3R0hK2tLQwMhJv3TkR4+fIlrKysCrymc2fg+HFhRwkUCqBjR+BIyZpGMJwQlBARoVGjRnBycsK+ffukDidf+/fvR69evXDmzBm0adNG1LquXbuGZs2aYdq0aViwYIGodTHhDBgwAJcvX8atW7dK9MmJ5fXw4UN4eXlh37596NatG9atWwcnJ6cCrw8LC8PWrVuxfft2PHv2LM/z8+fPx+zZswEA93APbnBDKlLzXFdaSigRgQg4wQlqtRqvXr0q1pD9ixcv8pRlZWWFatWq5ensbWxsYGZmBpVKheTkZLx69QoPHjzA/fv3cf/+fTx48CDXxj/Gxsb5dvTZDxsbG0E7fCHcuwe4uQGpwjUNlMqs0YFC/vcRFScEJXTkyBF06dIFx48fR4cOHaQOJ19qtRqurq5o0KABfv31V9Hrmz9/PubPn49z586hWbNmotfHyu7ChQto2bIlQkJC8Mknn0gdjk5SqVRYvXo15s6dC3Nzc6xevRr9+vXLd1TuxYsX2LFjB7Zu3YorV67AysoKgwcPxogRI7B48WL8+uuvICJ4e3tjxYoVucoIRjDGYqxgcTdc3RCGPxrm3JdX/ecjbsWKFXN17v/t6LP/NDQ0zPk0/25Hn/3f744SmJiY5NvRZ3+vatWqWtfhF0dwMDBWuKZBcDAwerRw5ZUUJwQl1LVrV8TFxeHSpUuS7z1QmMDAQHzxxRe4c+cOnJ2dRa0rIyMDLVu2RHp6Oi5fvqwVSzBZ0dq2bQuZTIbTp09LHYrOOX/+PDw9PXH9+nVMnDgRCxcuhIWFRa5r0tPTcfjwYWzZsgUHDx4EEaFHjx4YPnw4unfvnnM74fDhw+jevTuGDx+OTZs25dsxLsIizMIsgFC6o5D/9zq7ADs0/bNpvp/qs79namqaM2ReUGd///59JL2zt66pqWmBnb2joyOsra21+vdlWSxaBAix0GzRImDGjLKXUxacEJTAjRs30LBhQ/z0008YMmSI1OEUKjk5Gfb29hg8eDDWrFkjen1hYWFo2rQppk6dyrPXdURISAg+/fRTnD9/Hi1atJA6HJ0QHx+PGTNmIDAwEO7u7li/fj2aN2+e8zwRITQ0FFu2bMGOHTvw4sULNGnSBCNGjMCgQYPy3JNWqVR4/vw5jhw5AisrK8TFxRU4ZP+m3xtgLbLWe5Vgpa+c5DCEIfxl/hiN0TlxxsXF5dvRZ3/v7du3OWVUqFABTk5OBQ7pV6lSRW87/OIIDga8vLLmE5RkToFCkfXw95d2ZCAbJwQlMHr0aPz555+4d++eTqy9nz17NlauXImYmBhUrlxZ9PoWL16M2bNn499//+UORgdkZmaibt26aNasGXbu3Cl1OFqNiPDLL7/Ax8cHSUlJWLBgQa6lvbGxsdi+fTu2bNmCsLAwVK1aFd26dcP7778PU1PTAifivXjxIs8KA0tLywKH7MmREOAegHMVz0FBCqhkBfc+cpIjU5aJhs8aotvv3ZBwLSFX5//ucdgVK1bM08m/2/lbWlqW6w6/OO7dAzw9gaNHszr5whKD7Oc9PID166WbM/BfnBAU07Nnz+Dg4IAFCxbgq6++kjqcYsmOef78+fj6669Fr0+lUqF169ZISkrC1atXoVQqRa+TlY2/vz+8vb0RFRUFBwcHqcPRSlFRUfjiiy9w5MgRdO7cGZ6enlCr1YiJicE///yDixcv4tGjRwCylsylp6fnu16+oPvx7z6qVq1arNU6N9Q3sDJlJY4YHMEj5aPctxHUAKIBHAIQACASsLCwKHA439HREZUqVeIOXyAREUBgIHD4cNbmRe/2mjIZ4Oyctc/AhAnSLC0sDCcExTRnzhysWLECjx49QqVKlaQOp9hGjRqVM6qhiWWBEREReO+99+Dt7c3nHeiApKQk1KxZE6NGjSqXBx+lpaXl++k9NjYWT548wZUrVxATEwMA+e4VAGQNp9eqVQvu7u5wdHTM0+lnz7gvCbVajadPnxY4pJ91yM7/1u9XACo2qQhbR1vUsKoBV0NX1KleJ1fnr0u/s/RJUhJw927WQUXGxlk7EGp6O+KS4ISgGLLvxw8ZMgSrV6+WOpwSyZ73sG3bNgwdOlQjdS5duhQzZszAP//8k2t3L6adpk+fjnXr1uHRo0d68TObmZmZ6158YRvj/PfMewMDA1hbW8PMzCxnn/vmzZujU6dOuHfvHs6ePYuHDx/C1tYWw4YNw4gRI1CvXr1SxZjd4ec3ce/hw4dIT0/Pub5KlSoFztJ3cHDIM6GRsdLghKAY1q9fnzNjv1atWlKHU2JdunRBXFwcLl++rJFhQZVKhbZt2+L169cIDQ3Ns8sX0y6PHz+Go6Mjli5dCl9fX6nDyRcR4fXr14V27tnfj4uLg1qtzvX6ypUrF2vIHshKkDZv3owWLVqgT58+OH78OI4dOwYjIyN8+umnGDFiBD788MNC929QqVR48uRJgbP0Hz58mGu5n5WVVYFD+g4ODqhYsaI4/7CMvYMTgiJkr+lv2LAh9uzZI3U4pZK9d8Lff/+Njh07aqTOyMhIuLu7Y+LEieVyKFrXDBs2DCdPnkRUVJRoZ2Dk5+3bt8XaFCc2NjbXJ2Yga6mbra1tgZ37u0P2RS2FJSJs3boVU6dORVpaGho3bozr168jMTERbdu2xfDhw/HZZ5/lfBJXqVR49OhRgUP6jx49ytXhV61atcAZ+g4ODryFNNMKnBAU4cCBA+jZsyfOnj2rs8Pf2bsrOjo6Yv/+/Rqr9/vvv8dXX32F06dP4/3339dYvazkQkND8d5772Hnzp0YMGBAmcpKT0/Pt0PPr+N/d2kbkLUnfWGd+7t/L+l9+YLcvHkTI0aMwIULF2BmZoakpCQ4ODigV69eaNGiBTIyMvJ8yn/06FGuiYM2NjYFztB3cHCAqampILEyJiZOCIrQsWNHpKWl4ezZs1KHUibZ5y/cvHmzVPc8SyMzMxMffPAB4uLicO3aNf6lqOU6deqExMREnD9/Ps+tpczMzGIfPfvq1atcr5XJZLC2ti7WkH3lypU1clsrPT0d165dw5QpU/Dvv/8CyJo/YGVlBSLKsxww+6S8/Ib07e3t+bYY0wucEBQi++TA3bt3o1+/flKHUybZJzR+8sknOUc3a8Lt27fRuHFjeHp6YtWqVRqrlxWNiPDmzZucDv3QoUP47rvvMHjwYLx8+RI3btxAxYoVER8fj+fPn+e5L1+pUqVCO/fs71tbW2v0NgSQ9f/7w4cP8wzp37t3D7dv386zL7+FhQVcXV1Rq1atPJ/0a9asyUtoWbnACUEhhg4dirNnz+LOnTt6cQDMwoULsWjRIjx8+BDW1tYaq3fVqlXw8fHBiRMn0L59exw/fhzx8fHo06ePxmIoT5KTk4s1XB8bG5vn6Fkg6xN99o96+/bt8eGHH+a6H29rawsbGxtJO8nU1NScDj+/iXtPnjzJuVYmk+Xsvf/ixYucDXlsbGywdOlSDBw4kLfbZgycEBTo0aNHcHJywvfff48pU6ZIHY4gXrx4AXt7e0yfPj3nNDVNUKvV6NChA2JiYtCxY0ds3rwZlStXzjO0zAqWffRsUcP1z549Q2JiYq7XKhSKfE+je/fvx48fh7+/P+Li4nK9dseOHRg0aJAm3yoAICUlJc/peO92/O+eEmhgYAA7O7s8Q/rW1tYIDw/HgQMHcObMGRgbG4OIYGJiglWrVmH48OG8GQ9j7+CEoABff/011q9fj5iYGL1a8jNhwgT89ttvePDggUY/4f344485v4Cz/zdKTEwUbGKYLlKr1Xj58mWRM+yfPXuGly9f5nl99n35oibhWVpaFnqSHBGhVq1auH//fp7n9u7di169egn5tgFkrS7I7uTzm6X//PnznGvlcjlq1qxZ4Cz9GjVq5GwlnpmZib///htbtmxBSEgIUlNT0apVKzx//hxRUVEYNWoUli1bhipVqgj+nhjTdSXpvzV7E1BCiYmJWL9+PcaNG6dXyQAA+Pj4IDAwEDt27MCoUaNEr4+IMGXKFKxduzZXMgAA9+/fR4MGDUSPQZOICAkJCcUaro+Njc2zxa25uXmuTr1+/fr5dvrW1taCnachk8nwzz//oEePHrh+/XquuQKlnQialJRU4KE59+/fzzUSoVAoYG9vDwcHB9SvXx8ff/xxrs6/Ro0aRc5BiIyMxNatW7Ft2zY8fvwYdevWxddff40nT55g48aNqFOnDk6ePIl27dqV6v0wxnIrNyMEa9asgZ+fH+7duwc7OzupwxFcr169EB0djbCwMNGHTJOTk+Ho6JhnKBoA9u/fjx49eohav1BSUlKK3BAn+5GamprrtUqlssjZ9dnfl3K2ekpKCkaNGpXroKOCltsmJCTk6fDf/fu7IxqGhoawt7cvcJZ+9erVSzVH5/Xr1/jll1+wZcsWnD9/HpUqVcKgQYMwfPhwPHv2DJMnT8bz588xe/ZsTJ06VSNbdzOmy3iE4D8yMzOxatUq9O/fXy+TAQDw8/NDhw4dcjYsEpOpqSkiIyMxf/58+Pv7A0DOp+J79+6JWndRso+eLc4EvISEhFyvlcvlOZPsqlWrBldXV3Ts2DHfTt/c3Fwn7lWbmJhgx44deO+993IOwzp79iwuXryY55P+69evc15nZGSU08G/99576NOnT67Ov1q1aoJNylWpVDhy5Ai2bNmCffv2QaVSoWvXrti1axd69uyJuLg4TJ48Gb///nvOZlzOzs6C1M0Y+3/6NUJQwKkTv/76K/r164dLly6hadOmUkcpCiJCs2bNUKVKFRw5ckRj9d6+fRu+vr44ePAgAKBv37757v6YhCTcxV2kIQ3GMIYLXGCG4s01UKvVePXqVbG2uM3v6NkqVaoUa718lSpVCr0vr82ICPHx8fnev8/++7t7/BsbG2cN3detgUrNKsHG3gY1q9ZEC8sWcK3pimrVqon+bxEWFoatW7di+/btePbsGRo0aIARI0ZgyJAhqFatGlQqFdauXYs5c+bAzMwsJ6nXhUSMMW1RviYVZp9LeegQEB2d91zKWrVwRKHAzxYW2Hz+vHRxasCOHTswZMgQXL9+HQ0bNtRo3UePHsWAAQPw/vvv5+ycGIEIBCIQh3AI0YgG4f/bRkYyOJIj2ia0hUeUB5TRykK3uFX95yDyihUrFmu4vrhHz2q77H3/C7p/f//+/VwjHkqlssBd9tKc07DHag8Oyw7nbRfIUAu10B3dMR7j4QY3Qd/HixcvsGPHDmzduhVXrlxBlSpVMGTIEAwfPhzvvfdeTmd/8eJFeHp6IjQ0FBMmTMCiRYv4dD/GSqF8JAT37gGensDRo4BCAfynw3gXyeWQZWYCHh7A+vWAk5MGA9WcjIwM1KpVCx999BE2b94sSQypqam49PIS/Cr44UKlCzBQG0BtoC74BRkADAEcAYwmG6FaSt6O/b+dvo2Njd7tE09EePnyZYFL8u7fv4+kpKSc601NTfO9d5/9sLa2zvNJ+h7uwROeOIqjUEABFQr+mcl+3gMeWI/1cELpf2bS09Nx+PBhbNmyBQcPHgQRoUePHhg+fDi6d++eK2F78+YNZs6ciR9++AGNGzfG+vXr0aJFi1LXzVh5p/8JQXAw4OWVlQQUkgjkoVBkPdauBcaMES8+CX333XeYOXMmHjx4AFtbW0HKVKlUiIuLK9YWt/F944G1yJqdUoIJ83KSwxCGWCtbizHQv7YhIsTFxRXY2T948CDXGQAVKlSAk5NTgQfnWFlZlWjoPBjB8IIXVP/7Ki7F/77WomTtQkQIDQ3Fli1bsGPHDrx48QJNmjTB8OHDMWjQoDybaBERdu/eDW9vbyQkJGD+/PmYPHmyxndDZEzf6HdCsGgRMGtW2ctZuBCYObPs5WiZ+Ph41KxZE1OmTMHChQsLvO7do2eLmmEfFxeX5768paVlnk/uEZ9E4M92fwIEoAy3eRdiIWZCt9qGiPD8+fNCh/Szd9MDsm55FDSk7+joCEtLS8HulS/CIsxC2X9mitMuz549w/bt27F161aEhYXBxsYGQ4cOxfDhwwu8jRUdHY2JEyfijz/+QO/evbFmzRrY29uXOV7GmD6vMggOFiYZALLKqVYNGD1amPK0hEKhQN++fbFmzRq4ubkV2ulnZGTkem2FChVyDdPXrl073yH7qlWr5tkWNhjBWImVWX8pYz82C7NQDdUwGtrTNmq1GrGxsQUO6T948CDX0kRzc3M4OTnB0dERnTt3zvNJv1KlShqZHBeMYEGSAaDgdklNTcX+/fuxdetW/PHHH5DL5ejduze+/fZbdOnSpcBP+enp6Vi+fDnmz58Pa2tr/P777+jdu7cgsTLGSk53Rgju3QPc3ID/rAcvE6Uya1Kils8pSEtLK/YWt/kdPVucGfY2Njal3mHwHu7BDW5IhXBto4QSEYgo073rklCr1Xj69GmBQ/oPHz7MdUZA5cqVC7x/7+DgoBUT4MRsF0dyxMWLF7Flyxbs3LkTr1+/RosWLTBixAgMGDAAlpaWhZbzzz//YPz48YiMjIS3tze++eabcr3DJWNi0c8RAk/Pks0XKA6VKqtcDS7Ty5Z99Gxxtrh9d304kLULXdWqVXM6dmdnZ7z//vu5OvglS5bg7t27uH37tuiHOHnCs0T3pYtDBRU84YkjEKZtMjMzczr8/Ib0Hz58iPT09Jzrq1SpktPZ9+zZM1fn7+DgAAsLC0HiEpMY7ZJBGeh8vzMU3RWIjIxE9erV4enpiWHDhsHV1bXI1798+RJff/01Nm7ciBYtWuDSpUtwd3cXNEbGWOnoxghBRARQv7645Rfjl1lRsteCF7ZePvu5oo6eLewTvZWVVZGTrf7991+0adNGtH3rs0UgAvUhXttEIAKuKLptVCoVnjx5UuD9+4cPH+ZaumhlZVXg/XsHBwed395a7HbpPrU7pnSegk6dOhUr4SQibNu2DX5+fkhPT8e3334LT09PvThxlDFtpn8jBIGBRS4tLDWFAggIANasKfCSt2/fFnuL23c/ZQJZO8XZ2trmdOxt2rTJt9OvWrWqoAcTtW7dGq1bt8aKFStETQgCEVjkErbSUkCBAARgDdZApVLh0aNHBQ7pP3r0KFeHX7Vq1ZzOvWnTprk6f3t7e70fnha1XUgB5++d0Rmdi3X9rVu3MGHCBBw/fhwDBw7EihUrBFsBwxgTjm6MELi4AFFRohX/1tYWOxcsKPAT/bvrv4H8j54t6BO9mZmZZDur7dmzB5999pmoOzS6wAVREK9tlI+UsGlrg0ePHuU6NMjGxqbAWfoODg6lPsBHX4jdLi5wwR3cKfSa1NRUfPvtt1iyZAns7Ozwww8/iL6tNmMsN/1adpiYCFhY5N6BUGBqABYATP539GxRE/AqV66sE1vcZmZmonbt2mjVqhV27NghePmJSIQFLHLtdCc4Avzm+aG2be1cn/ClPDBI22miXWSQIQEJBW4/fezYMXzxxRe4f/8+vvrqK8ycOZPbjDEJ6Nctg6goUZMBADAA8OrCBRg2by5qPZoml8sxZcoU+Pn5YenSpahZs6ag5UchStxkAABkwNBvhsId7uLWo0c00S4Ewl3czdMusbGx8PPzw/bt29GuXTv8/vvvcHMTdvtjxpg4tP9j7jtLvcRkqC5ke10dNmrUKJiZmWFNIXMkSisNmmkbTdWjL6RoF7VajQ0bNqBevXr4448/sGnTJpw4cYKTAcZ0iPYnBP/ZAEfn69GwihUrYty4cdiwYQMSExMFLdsYmvk301Q9+kLT7RIWFoYPPvgAnp6e+OSTTxAZGYmRI0fyqYSM6RjtTwhcXLJOLRSTTJZVj56aPHkykpOTsXHjRkHLdYELZGXdlrAIMsjgAv1tGzFoql1s39ri66+/RpMmTfDq1SucOHECmzdvhpWVlah1M8bEof0JgZkZUKuWuHU4O2fVo6fs7OzQv39/rF69Os8xwmVhBjPUgrht4wznAieusfxpol2qva2GlvVbYvXq1Zg7dy5CQ0PRvn17UetkjIlL+xMCAOjePWu/ADEoFEC3buKUrUV8fX1x//59hISECFpud3SHQqS5qQoo0A363zZiELNdZJkyPN34FHXq1MGNGzcwa9asPGdbMMZ0j/YvOwR0ZqdCbdehQwekpaXh33//FaxMbdmpkOUmdrt8d/A7+HX343kCjGm5kvTfujFC4OYGeHgIP0qgUGSVWw6SAQDw8/PDuXPncPbsWcHKdIMbPOAh+KdRBRTwgAcnA6UkVrvIMmXomNERUz+eyskAY3pGN0YIgHJ92qFQ1Go1XF1d0bBhQ+zZs0ewcvXhtEN9JHi7EKCUcbswpkv0b4QAyOq0164Vtkx//3KTDACAgYEBfHx8EBISgujoaMHKdYIT1kLYtvGHP3c6ZSR4u8i4XRjTZ7qTEADAmDHAwoXClLVoETB6tDBl6ZBhw4ahcuXKWL16taDljsEYLIQwbbMIizAa5a9txMDtwhgrLt1KCABg5kwgKChruL+kcwoUiqzXBQcDM2aIE5+WMzU1xYQJE7Bx40a8fv1a0LJnYiaCEAQllCW+d62AAkooEYxgzED5bBuxcLswxopD9xICIGukICIC6Ngx6+9FJQbZz3fsmPW6cjgy8K6JEyciIyMDQUFBgpc9BmMQgQh0RFbbFNUBZT/fER0RgQj+BCoSbhfGWFF0Z1JhQSIigMBA4PDhvAchyWRZmw516wZMmFBuVhMUx6hRo3DkyBFER0fDyMhIlDoiEIFABOIwDuc5cEcGGZzhjG7ohgmYwKsJNCi7XQ5kHsA9g3t4d1NDbhfG9It+HX9cEklJwN27WQciGRtnbUesxzsQlsWNGzfQsGFD/PTTTxgyZIjo9SUhCXdxF2lIgzGM4QIX3oFQIkSE7du3w9fXFynyFExaNQk9+/WEqdyU24UxPVN+EwJWIl26dEFcXBwuX77Ma8rLidu3b+OLL77AX3/9hf79+2PlypWoXr261GExxkSin8sOmeD8/Pxw9epVnDx5UupQmMjS0tIwb948NGzYENHR0Th8+DB++eUXTgYYYzk4ISjHPDw80KBBAyxfvlzqUJiIjh8/jkaNGmHhwoXw8/PDjRs30LVrV6nDYoxpGU4IyjGZTAZfX18cOHAAt27dkjocJrC4uDgMGzYMH374IapWrYrQ0FAsXrwYpqamUofGGNNCnBCUc4MHD4aNjQ1WrlwpdShMIGq1GsHBwahbty4OHjyI4OBgnDx5EvXFPCCMMabzOCEo54yNjTFp0iRs3boVL168kDocVkbh4eFo164dxo4di549eyIyMhKjR4+GgQH/qDPGCse/JRjGjx8PmUyGgIAAqUNhpZScnIzp06fD3d0dcXFx+Pvvv7F161ZYW1tLHRpjTEdwQsBgZWWF4cOHw9/fH6lCnibJNOLw4cNo0KABVq5cidmzZ+P69evomL2LJ2OMFRMnBAwA4O3tjefPn2PHjh1Sh8KK6cmTJ+jfvz+6d++OWrVqISwsDHPmzIGxsbHUoTHGdBAnBAwAULduXfTs2RMrVqxAMfaqYhLKzMyEv78/6tWrh5MnT+Knn37C0aNHUbt2balDY4zpME4IWA5fX1+Eh4fjyJEjUofCCnDlyhW0atUKXl5eGDRoECIjIzFkyBDeaZIxVmacELAc7du3R5MmTbBixQqpQ2H/kZiYCB8fHzRv3hxpaWk4c+YM1q9fj8qVK0sdGmNMT3BCwHJkb1R05MgRhIWFSR0OQ9ZBRCEhIXBzc8OGDRuwZMkSXL58GW3atJE6NMaYnuGEgOXSv39/1KhRgzcq0gIPHjxAr1698Omnn6Jx48YIDw/Hl19+CUNDQ6lDY4zpIU4IWC6GhoaYPHkytm/fjmfPnkkdTrmUkZGB7777Dm5ubrhy5Qr27NmD/fv3w9HRUerQGGN6jBMClse4ceNgaGiIdevWSR1KuXPu3Dk0a9YM06ZNw9ixY3Hz5k307duXJw0yxkTHCQHLo1KlShg9ejQCAgKQnJwsdTjlQnx8PCZMmIA2bdrA0NAQFy5cwKpVq4o8v5wxxoTCCQHL15QpU/D69Wv8+OOPUoei14gIP//8M+rVq4ft27dj9erVOH/+PJo2bSp1aIyxcoYTApavWrVqoU+fPli5ciXUarXU4eilu3fvokuXLhg8eDA++OAD3Lx5E15eXpDL5VKHxhgrhzghYAXy8/PD7du3cfDgQalD0StpaWlYsGABGjRogDt37uDgwYPYvXs3atSoIXVojLFyjBMCVqDWrVujVatWWL58udSh6I2TJ0/C3d0d8+fPh7e3N8LDw9G9e3epw2KMMU4IWOH8/Pxw8uRJXL58WepQdNqLFy8wYsQIdOjQAZaWlrhy5QqWLFkCU1NTqUNjjDEAnBCwInzyySdwdHTk7YxLiYiwadMm1K1bF/v27cOGDRtw+vRpNGzYUOrQGGMsF04IWKEUCgW8vb3xyy+/ICYmRupwdEpERATat2+P0aNHo3v37oiMjMTYsWNhYMA/dowx7cO/mViRRo0aBTMzM6xdu1bqUHRCSkoKZs6cCXd3dzx79gzHjh3Dtm3bULVqValDY4yxAnFCwIpUsWJFjBs3Dhs2bEBiYqLU4Wi1P//8Ew0aNMD333+PGTNm4Pr16+jUqZPUYTHGWJE4IWDFMnnyZLx9+xabNm2SOhSt9PTpUwwcOBBdu3aFo6Mjrl+/jm+++QZKpVLq0BhjrFg4IWDFYmdnh/79+2PVqlVQqVRSh6M1MjMz8cMPP6BevXr4+++/8eOPP+LYsWOoW7eu1KExxliJcELAis3X1xf379/H77//LnUoWiE0NBRt2rTBxIkT0b9/f0RGRuLzzz/ng4gYYzqJEwJWbE2bNkX79u3L/UZFSUlJ8PPzQ7NmzZCcnIx//vkHQUFBsLS0lDo0xhgrNU4IWIn4+fnh3Llz+Pfff6UORRJ79+6Fm5sbAgICsGjRIly5cgXvv/++1GExxliZcULASuTjjz9GnTp1yt0oQUxMDD755BN88sknaNiwIcLDw/H111/D0NBQ6tAYY0wQnBCwEjEwMICPjw9CQkIQHR0tdTiiU6lUWLFiBVxdXXHhwgXs3r0bBw4cgJOTk9ShMcaYoDghYCU2bNgwVK5cGatXr5Y6FFFduHABzZs3x9SpUzFq1ChERkaiX79+PGmQMaaXOCFgJWZqaooJEyZg48aNiI+Plzocwb158wYTJ05Eq1atYGBggAsXLmDNmjUwNzeXOjTGGBMNJwSsVCZOnIiMjAxs2LBB6lAEQ0T45ZdfUK9ePfz4449YuXIlzp8/j2bNmkkdGmOMiY4TAlYq1apVw5AhQ7BmzRpkZGRIHU6ZRUdHo1u3bhg4cCDatGmDmzdvYsqUKVAoFFKHxhhjGsEJASs1Hx8fPH78GLt27ZI6lFJLT0/H4sWLUb9+fdy8eRP79+/Hr7/+Cjs7O6lDY4wxjeKEgJVaw4YN0blzZ6xYsQJEJHU4JXbq1Cm4u7tjzpw58PLyQkREBHr06CF1WIwxJglOCFiZ+Pr64sqVKzh58qTUoRTby5cvMWrUKLRv3x4WFha4cuUKli1bhgoVKkgdGmOMSYYTAlYmnTt3Rv369bFixQqpQykSEWHr1q2oV68eQkJCEBgYiDNnzqBRo0ZSh8YYY5LjhICViUwmg6+vL/bv349bt25JHU6BIiMj0bFjR4wYMQKdO3dGZGQkPD09YWDAPwKMMQZwQsAEMGTIENjY2GDVqlUAgAcPHuDKlSvSBvU/KSkpmD17Nho1aoTHjx/jyJEj2L59O2xsbKQOjTHGtAqvqWJlZmxsjIkTJ2LhwoV4/PgxDhw4AGtra8TGxkoa19GjRzFhwgQ8fPgQ06ZNw4wZM6BUKiWNiTHGtBWPELAyyczMREhICPbu3Yv09HQcPHgQRCTp9r7Pnj3D4MGD0blzZ9SsWRPXr1/H/PnzORlgjLFC8AgBK5Nt27Zh5MiROQmAWq0GkLW9saap1Wps2LAB06ZNg6GhIbZu3YrPP/+czx5gjLFi4BECVia9evVCu3bt8nzfzMxMo3Fcv34d77//PiZMmIC+ffsiMjISw4YN42SAMcaKiRMCViaWlpY4duwYJkyYkOv7mkoI3r59iy+//BJNmjTBmzdvcOrUKWzcuBFVqlTRSP2MMaYvOCFgZWZoaIh169YhMDAwZxlfenq66PXu378fbm5u8Pf3x4IFCxAaGooPPvhA9HoZY0wf8RwCJhhPT0/Uq1cPnTp1Qmpqaq7nkpCEu7iLNKTBGMZwgQvMULpRhEePHmHy5MkICQlB165dcfz4cdSqVUuIt8AYY+UWJwRMUO3bt8eDBw9gZGSECEQgEIE4hEOIRjQI/3/egQwy1EItdEd3jMd4uMGtyLJVKhX8/f0xe/ZsmJmZ4ZdffsFnn33G8wQYY0wAfMuACS69RjqGWA9BfdRHAAIQhahcyQAAEAhRiEIAAlAf9dEZnXEP9wos8+LFi2jRogV8fX0xfPhwREZGon///pwMMMaYQDghYIIKRjDc4IbjOA4AUEFV6PXZzx/HcbjBDcEIzvX8mzdv4OXlhZYtW4KIcO7cOfj7+8PCwkKcN8AYY+UUJwRMMIuwCGMxFqlILTIR+C8VVEhFKsZiLBZhEYgIu3fvhqurKzZv3ozly5fnjBIwxhgTHicETBDBCMYszBKkrFmYhUarG6F///5o2bIlbt68CR8fHygUPOWFMcbEwr9hWZndwz14wUu4Agm4Mf4GNjTYgLEfjRWuXMYYYwXiEQJWZp7wLPEtgkLJALmxHLs/2i1cmYwxxgrFCQErkwhE4CiOCpsQAMiUZeIojuImbgpaLmOMsfxxQsDKJBCBUIh050kBBQIQIErZjDHGcuOEgJXJIRwSfHQgmwoqHMZhUcpmjDGWGycErNQSkYhoRItaRxSikIQkUetgjDHGCQErg/x2IBQagXAXd0WtgzHGGCcErAzSkKZX9TDGWHnGCQErNWMY61U9jDFWnnFCwErNBS6QQdzDhWSQwQUuotbBGGOMEwJWBmYwQy3UErUOZzjDDGai1sEYY4wTAlZG3dFd1H0IuqGbKGUzxhjLjRMCVibjMV7UfQgmYIIoZTPGGMuNEwJWJm5wgwc8BB8lUEABD3jAFa6ClssYYyx/nBCwMluP9aIkBOuxXtAyGWOMFYwTAlZmTnDCWqwVtEx/+MMJToKWyRhjrGCcEDBBjMEYLMRCQcpahEUYjdGClMUYY6x4OCFggpmJmQhCEJRQlvgWggIKKKFEMIIxAzNEipAxxlhBOCFgghqDMYhABDqiIwAUmRhkP98RHRGBCB4ZYIwxiXBCwATnBCccwRGEIxwTMCHfHQ2zdyCcgAmIQASO4AjPGWCMMQmJs6MMY8hakrgGawAASUjCXdxFGtJgDGO4wIV3IGSMMS3CCQHTCDOYwR3uUofBGGOsAHzLgDHGGGOcEDDGGGOMEwLGGGOMgRMCxhhjjIETAsYYY4yBEwLGGGOMgRMCxhhjjIETAsYYY4yBEwLGGGOMgRMCxhhjjIETAsYYY4yBEwLGGGOMgRMCxhhjjIETAsYYY4yBEwLGGGOMgRMCxhhjjAFQFOciIgIAJCQkiBoMY4wxxoST3W9n9+OFKVZCkJiYCACoWbNmGcJijDHGmBQSExNhYWFR6DUyKkbaoFar8eTJE1SsWBEymUywABljjDEmHiJCYmIiqlevDgODwmcJFCshYIwxxph+40mFjDHGGOOEgDHGGGOcEDDGGGMMnBAwxhhjDJwQMMYYYwycEDDGGGMMnBAwxhhjDMD/AXWEn7RR0JJgAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -127,15 +129,44 @@ "for i in range(10):\n", " mutate(parent1)\n", "\n", + "\n", + "visualization.genome(parent1)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ "parent2 = parent1\n", "\n", "for i in range(4):\n", " mutate(parent2)\n", - "\n", - "visualization.genome(parent1)\n", + " \n", "visualization.genome(parent2)" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# TODO: crossover implementieren" + ] + }, { "attachments": {}, "cell_type": "markdown",