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480 строки
250 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 107,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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VljN7nB1sn8FZsWKFmpubNXHiRJWUlIQuL730UuiYuro6NTT8LZnps88+05w5c3TRRRfp6quvlt/v1+bNm1VWVmbHWwAAwBapSgQeM6RAJfk9FCm7xqfTQdSYIdF3PNvJUUnG6RJPkhIAAE6U6kTgYPAknc656fi8krTi5lFp3yoez/nb9hkcAAAQv3gSgRMxbUSJVtw8SsX5nZehivN72BLcxMv2HBwAABC/dCQCTxtRoivLiqlkDAAA0iNdicDdsnyO3QoeDUtUAAC4kBcSgVOJAAcAABfqluXTkmtP7x7uGuQEry+5tswVy0mpQIADAIBLuT0ROJXIwQEAwMXcnAicSgQ4AAC4nFsTgVOJJSoAAOA5BDgAAMBzCHAAAIDnEOAAAADPIcABAACeQ4ADAAA8hwAHAAB4DgEOAADwHAIcAADgOQQ4AADAcwhwAACA5xDgAAAAzyHAAQAAnkOAAwAAPIcABwAAeA4BDgAA8BwCHAAA4DkEOAAAwHMIcAAAgOcQ4AAAAM8hwAEAAJ5DgAMAADyHAAcAAHgOAQ4AAPAcAhwAAOA5BDgAAMBzCHAAAIDnEOAAAADPIcABAACeQ4ADAAA8xxEBzs9+9jMNHjxYPXr00NixY7V169aox7/88ssaPny4evTooYsvvlivvfZamkYKAADcwPYA56WXXtKCBQu0ZMkSbd++XZdeeqkqKip06NChsMdv3rxZM2fO1O233653331X119/va6//nrV1tameeQAAMCpfIZhGHYOYOzYsfriF7+oJ598UpIUCARUWlqqu+66SwsXLjzj+K9//etqaWnRunXrQreNGzdOI0eO1FNPPWXqNf1+v/Lz89Xc3Ky8vDxr3ggAAEipeM7fts7gnDx5Utu2bdPUqVNDt2VlZWnq1Kmqrq4O+5jq6upOx0tSRUVFxOMlqbW1VX6/v9MFAAB4l60BzuHDh9Xe3q7+/ft3ur1///5qbGwM+5jGxsa4jpekyspK5efnhy6lpaXJDx4AADiW7Tk46bBo0SI1NzeHLh9//LHdQwIAACl0lp0v3q9fP3Xr1k0HDx7sdPvBgwdVXFwc9jHFxcVxHS9JOTk5ysnJSX7AAADAFWydwcnOztbo0aO1cePG0G2BQEAbN25UeXl52MeUl5d3Ol6S1q9fH/F4AACQeWydwZGkBQsWaNasWbr88ss1ZswYPf7442ppadFtt90mSbr11ls1cOBAVVZWSpLuvvtuffnLX9aPfvQjTZ8+XS+++KL+9Kc/6Re/+IWdbwMAADiI7QHO17/+dX366ad66KGH1NjYqJEjR6qqqiqUSFxXV6esrL9NNI0fP15r1qzR4sWL9Z3vfEcXXHCBfvOb32jEiBF2vQUAAOAwttfBsQN1cAAAcB/X1MEBAABIBQIcAADgOQQ4AADAcwhwAACA5xDgAAAAzyHAAQAAnkOAAwAAPIcABwAAeA4BDgAA8BwCHAAA4DkEOAAAwHNsb7YJwJnaA4a27mvSoWMnVNSrh8YMKVC3LJ/dwwIAUwhwAJyhqrZBy17dqYbmE6HbSvJ7aMm1ZZo2osTGkQGAOSxRAeikqrZBc1dv7xTcSFJj8wnNXb1dVbUNNo0MAMwjwAEQ0h4wtOzVnTLC3Be8bdmrO9UeCHcEADgHAQ6AkK37ms6YuenIkNTQfEJb9zWlb1AAkAACHAAhh45FDm4SOQ4A7EKAAyCkqFcPS48DALsQ4AAIGTOkQCX5PRRpM7hPp3dTjRlSkM5hAUDcCHAAhHTL8mnJtWWSdEaQE7y+5Noy6uEAcDwCHACdTBtRohU3j1JxfudlqOL8Hlpx8yjq4ABwBQr9ATjDtBElurKsmErGAFyLAAdAWN2yfCof1tfuYQBAQliiAgAAnsMMDgDXoiEogEgIcAC4Eg1BAUTDEhUA16EhKIBYCHAAuEqmNARtDxiq3ntEa2vqVb33iOvfD5BuLFEBcJV4GoK6dRcYy29A8pjBAeAqyTQEdcOsCMtvgDWYwQHgKok2BHXDrEis5TefTi+/XVlWzG4xIAZmcABIcsfshpRYQ1C3zIrEs/wGIDpmcAC4YnYjKNgQdO7q7fJJnWY7wjUEddOsSDLLbwA6YwYHyHDxzm44YaYnnoagbpoVSXT5DcCZmMEBMli8sxtOmukx2xDUTbMiweW3xuYTYf9NfDodxHVcfgMQHjM4QAaLZ3bDiXkswYag140cqPJhfcMuMblpViS4/CbpjByjcMtvACIjwIFnOWEpxenMzlo0Nv+Pa4vrJZKUbKd4lt8ARMYSFTzJSUspTmZ21qKp5aRri+vFm5TsBGaX3wBEZtsMzv79+3X77bdryJAh6tmzp4YNG6YlS5bo5MmTUR83ceJE+Xy+Tpc777wzTaOGGzhxKcWpzM5uFJyTY+r5nJDHEo4bZ0XMLL8BiMy2GZxdu3YpEAjo6aef1vnnn6/a2lrNmTNHLS0tevTRR6M+ds6cOXr44YdD13Nzc1M9XLiEm7YEO4HZ2Y38ntmmns8JeSyRMCsCZBbbApxp06Zp2rRpoetDhw7V7t27tWLFipgBTm5uroqLi1M9RLhQJvQpslpwdqPrkl5xhyW99oDhid09wVkRAN7nqByc5uZmFRTE/oF84YUXtHr1ahUXF+vaa6/Vgw8+mHGzOO0Bg/8TDcNNW4KdJNbshlvyWPi7ABDkmABnz549euKJJ2LO3tx4440aNGiQBgwYoPfff18PPPCAdu/erVdeeSXiY1pbW9Xa2hq67vf7LRu3HRJJoM2UH343bQl2mlizG2ZmeuyUysTyTPn7AbzEZxiGpfs6Fy5cqOXLl0c95oMPPtDw4cND1+vr6/XlL39ZEydO1C9/+cu4Xm/Tpk2aMmWK9uzZo2HDhoU9ZunSpVq2bNkZtzc3NysvLy+u17NbMIG26z9a8Kc2XMJkJu0oag8YmrB8U8yllLcemOy6E5RTTrJOGUdHifxdxPPcmfL3Azid3+9Xfn6+qfO35QHOp59+qiNHjkQ9ZujQocrOPp20eODAAU2cOFHjxo3TqlWrlJUV38aulpYWnXPOOaqqqlJFRUXYY8LN4JSWlrouwAmevCPlmIQ7eafyhz84Jqee7KTwSylO3TUTDSfZyBL5uzAr1X8/AOITT4Bj+RJVYWGhCgsLTR1bX1+vSZMmafTo0Vq5cmXcwY0k1dTUSJJKSiL/yOTk5Cgnx9w2VyeLN4E21TuKnHrSdfpSSrwinWSD294z/SRrVWJ512B99KA+7MgDXMy2HJz6+npNnDhRgwYN0qOPPqpPP/00dF9wh1R9fb2mTJmi559/XmPGjNHevXu1Zs0aXX311erbt6/ef/993Xvvvbriiit0ySWX2PVW0ibeBNpU7ihy+knXK1uC2fYe24adjaaOi/b3Ey5YLzg7W00tketysSMPcDbbApz169drz5492rNnj84999xO9wVXzdra2rR7924dP35ckpSdna0NGzbo8ccfV0tLi0pLSzVjxgwtXrw47eO3Q7wJtKnaUeSWk64XtgSz7T269oCh/6ypN3VspL+fSMF6tOCmI3bkAc5kW4Aze/ZszZ49O+oxgwcPVscUodLSUr3xxhspHplzxdtpOFU7iuw86Tox5yeV2PYe3dZ9TWpqaYt5XN+zs8PW6IkWrJvFjjzAmRyzTRyxxVuLJN6AyCyzJ9O39xy2NBBxas5PKrHtPTqz38XrRg4I+/2LFaxH45bihkCmopu4y8TTUycYEEk6o9dQMED6xhdLte79A3F12zZ7Mn3y9T26+8UazXxmiyYs35RUD6hM7S/ltk7Y6Wb2u3hlWfjK54nOfDmpuCGA8JjBcaF4Emgj7SjKz+0uSXpsw4eh28zOhgRPuvH8n28yycduyflJBbdUEA7HiuXESM8RvL3Rf0IFZ3ePukwVLQA0GyB1fQ237sgDMonldXDcIJ599G4S7YTS8b79h4/r8Q1/Saq2x2vvN+jba7bHNb5E65FU7z2imc9siXncv88Z59lEW7ctz1kx3kjP8dVLS/Tb9xpiBthmvs9mC0O+cf8kbfvos4zJ/QKcytY6OLBHrBNKcEdR8Ac92dmQPmeb6y7d9fkTST4m0dZd296tKCEQ6Tkamk/o6Tf3mRqHmVkWszNk2WdleTZ4BryKAMcD4jmhWLUDKplg4vf/my9j9gRNou1pbtj2bnY5cfLw/hFnRJLZ2eTzSbPKB6niCyWmv19eKwwZj0zblYjMQoDjcvHmp8SzAyraj10ywcTz1R/p+eqP4s75sXo3GKxnNoAeV7mxU52Zjt+FZHY2GYa0avNHGjf0dCBYvfeIqZN3MjNkbg0S3LbsCcSLHByX5+DEm59i9ngp+o9drNwFM+LJ+fFifykvWltTr7tfrIn7cR3/Hbfua9Kv3t6f1Dh653ZXj7O6qdGf2pO3W4MEemzBreI5f7NN3OXizU+Jte24o2hbsDtuQU9U8Md12as7Y25Rj2d7POyT6Mxe8F9/0St/Tjq4kaSjx9s6BTeS9SUF3Fq6INasr2TubxJwOgIcl4s3PyVabZyuYv3YhYKOvMQbmXbM+Yll2ogSvfXAZP37nHH6yTdG6t/njNNbD0wmuHGQeALorgxJnx2PXZU4UVaevN0cJMSThwe4GQGOy40ZUhA1wAhXCC7SbEg4sX7spo0o0UPXfEHn5CSXzmV2JiqYaHvdyIEqH9bXFbkOmSSeANoOVp283RwksCsRmYIAx+XW72zUiVOBsPdFKwQXnA2ZP2mYqdeJ9GNXVdugeWu26/PWU2HvNxv4eH0HVCaJFEAXnN3dkuefdGGhko1rkz15uzlIYFciMgW7qFwsUqJgUH5ud33/axdHXMLpluXTl84v1JOv7435WuF+7Mxs5z07O0vn5PTQQT87oDJJcFfSlr1HVP3Xw5J8GjukQPf/v/d00N+aVHPLO64YphtGn6tvr3k34edI9uTt5iCBXYnIFMzguJSZ4KJn924Re/AEJdPryMx23oPHTmrmmPNCz9X1uaX0tBpoDxiq3ntEa2vq4+q7hcSt39mof/p/7+nJ1/fqydf36JZfbdWJU4FQ+YKOfP976Z3b3dR38epLBuipm0eppGvSeV6O6edIhpt7hMXqUSc5t/0HEA9mcFzKTHBhpmBfMr2OzE6/D+6Xa2shNbdu5XWzSLOLzf+bRJyf211Hj5/Z20mS6e9ipNo163c2prx3l5t7hEmZXdwQmYM6OC6tg2O23shPvjFS140cGPO4RIKAeGvw2FEQjXof6ReskRQpAA8ugTz6fy7V4ZbWM74LqexjRR2cztxapBCZi15UGSDZHICuP2xXlhXHXck11lq+dHrJIThN3y3LpzFDCkKvsXVfU0p/UDO5C7mdzO4wysryhQ2+rei7la7eXW7qERaOG9p/AIkiwHGpZBIFrfq/zuA0/Z2rI3cVP3q8Tet3NmraiJK0/9+uVX23EB8rdhhZceJN18mbIAFwJpKMXSrRREGrq69eWVas3rmRt/8GZ0lee/9A2qu+unkrr5u5eYcRAO8gwHGxeNsXpKL66tZ9TZ2SRcM9b0PzCS1eWxvxdQ1JS3+7w/KdTZxo7eHmHUYAvIMlKpeLJwcgFUs2Zmc/mlqil+Bv9LfqyU17dPfUC0w9nxnU+7BGvImobt9hBMAbCHA8wGwOgNlg5O09h00nSlo5+/HYhr/owuJzLMvH4USbvETzptiGDMBubBN36TbxRJjd1i2ZT/4NbgmONktScHa2jrScNP26bz0w2dKgw+1bee1ixRb7cLM/kly76wiAveI5fxPgZFCAEysY6Siek1jwRCiFnyX52Y2j9L3f7YxZmDAoWDfHStT7iI/ZWjbxBqMEmwCSEc/5myTjDBJPp+d4ko5jJTtffUlJ6HXNSMWuJrqQxycV3bKt3sEHANGQg5NhIuVGhBNP0nGsZOdpI0p079QL9NiGD2OOcf/h46bfD1LD6i32FF0EkG7M4GSgaSNK9NYDkzV/0jBTx5s9icWaJZk/+QL175UT83lefKeOZpg2s3qLfSpmhAAgGgIcC7mpY3W3LJ++dH6hqWOt2inVLcunG8eeF/M4TnT2s7qWDUUXAaQbS1QWcWPypB11Ygb3O9vUcZzo7GX1FnuKLgJIN2ZwLODW5MlE2z0kgxOde8RbKTsaqhsDSDdmcJLktuTJcF3E01mQjerC7mJVt2yKLgJINwKcJLmpY3W0ZbS3HpicljoxnOjcx6pu2VQ3BpBOBDhJckvyZKSqtMFltHiXHJLBiS5zWTUjZAbFHYHMRoCTJDfklDhxGS2dJzo4i1UzQtG4MekfgLVIMk6SG5InnVqDhOrCSAW3Jv0DsBYBTpLs2IkUL7csowHJijVbKZlrPwLA/QhwLGDldtpUcMMyGmAFp85WAkg/cnAs4uScErZmI1Nk6mwlCdXAmWydwRk8eLB8Pl+ny/e///2ojzlx4oTmzZunvn376pxzztGMGTN08ODBNI04OqfmlLhhGQ2wQibOVlbVNmjC8k2a+cwW3f1ijWY+s0UTlm8i1wgZz/YlqocfflgNDQ2hy1133RX1+HvvvVevvvqqXn75Zb3xxhs6cOCAvva1r6VptO7l9GU0wApuSPq3EgnVQGS2L1H16tVLxcXFpo5tbm7Ws88+qzVr1mjy5MmSpJUrV+qiiy7Sli1bNG7cuFQO1fWcvIwGWCGTCkk6sfwD4CS2z+B8//vfV9++fXXZZZfphz/8oU6dOhXx2G3btqmtrU1Tp04N3TZ8+HCdd955qq6uTsdwXc+py2iAVTJltpKEaiA6W2dw/vEf/1GjRo1SQUGBNm/erEWLFqmhoUE//vGPwx7f2Nio7Oxs9e7du9Pt/fv3V2NjY8TXaW1tVWtra+i63++3ZPwAnCkTZiszNaEaMMvyAGfhwoVavnx51GM++OADDR8+XAsWLAjddskllyg7O1vf+ta3VFlZqZycHMvGVFlZqWXLlln2fACcLx0Vk+2UiQnVQDwsD3Duu+8+zZ49O+oxQ4cODXv72LFjderUKe3fv18XXnjhGfcXFxfr5MmTOnr0aKdZnIMHD0bN41m0aFGnYMrv96u0tDT6GwEAB6P8AxCd5QFOYWGhCgsLE3psTU2NsrKyVFRUFPb+0aNHq3v37tq4caNmzJghSdq9e7fq6upUXl4e8XlzcnIsnRECrEQNEyQikxKqgUTYloNTXV2tP/7xj5o0aZJ69eql6upq3Xvvvbr55pvVp08fSVJ9fb2mTJmi559/XmPGjFF+fr5uv/12LViwQAUFBcrLy9Ndd92l8vJydlDBlWgKiWQEE6q7foeK+Q4B9gU4OTk5evHFF7V06VK1trZqyJAhuvfeezstJbW1tWn37t06fvx46LbHHntMWVlZmjFjhlpbW1VRUaGf//zndrwFICnBGiZdlxeCNUy8tOMHqZMJCdVAInyGYWRc1zm/36/8/Hw1NzcrLy/P7uEgA7UHDE1YviniNt9g/sRbD0zmRAUA/yue87ftdXCATEQNEwBILQIcwAbUMAGA1CLAAWxADRMASC0CHMAGmdYUEgDSjQAHsEGwhomkM4IcapgAQPIIcACbZEpTSACwg63NNoFMRw0TAEgNAhzAZl5vCgkAdiDAQcrQYwmJ4rsDIFkEOEgJeiwhUXx3AFiBJGNYLthjqWul3mCPparaBptGBqfjuwPAKgQ4sFR7wNCyV3ee0UBSUui2Za/uVHsg41qgIQa+OwCsRIADS9FjCYlK5LvTHjBUvfeI1tbUq3rvEYIfACHk4MBS9FhCouL97pCrAyAaZnBgKXosIVHxfHfI1QEQCwEOLEWPJSTK7Hdn9KA+5OoAiIkAB5aixxISZfa7s+2jz8jzAhATAQ4sR48lJMrMd4c8LwBmkGSMlKDHEhIV67tDnhcAMwhwkDL0WEKion13grk6jc0nwubh+HR6xoc8LyCzsUQFwFXI8wJgBgEOANchzwtALCxRAXAl8rwAREOAA8C1yPMCEAlLVAAAwHMIcAAAgOewRAXPaQ8Y5GUAQIYjwIGn0GEaACCxRAUPocM0ACCIAAee0B4w6DANAAghwIEnbN3XRIdpAEAIAQ48gQ7TAICOCHDgCXSYBgB0RIADTwh2mI60Gdyn07up6DANAJmBAAeeYEeH6faAoeq9R7S2pl7Ve4+QwAwADkIdHHhGsMN01zo4xSmog0O9HQBwNp9hGBn3v51+v1/5+flqbm5WXl6e3cOBxVJdyThYb6frH07wFVbcPIogxySqTgOIRzznb2Zw4Dmp7DAdq96OT6fr7VxZVuz6E3U6AkVmwQCkCgEOEId46u2kKsiyWrhAZv3OxpQGH5FmwYJVp5kFA5As25KM/+u//ks+ny/s5Z133on4uIkTJ55x/J133pnGkSOTea3eTlVtgyYs36SZz2zR3S/WaOYzWzT6X9brzhS2vKDqNIB0sG0GZ/z48Wpo6PxD+eCDD2rjxo26/PLLoz52zpw5evjhh0PXc3NzUzJGoCsv1duJNIty9Hhb2OOtWoLz4iwYAOexLcDJzs5WcXFx6HpbW5vWrl2ru+66Sz5f9B/O3NzcTo8F0mXMkAL1zu0eMQjw6fSuLafX24k2ixKNFcGH12bBADiTY+rg/Pa3v9WRI0d02223xTz2hRdeUL9+/TRixAgtWrRIx48fj3p8a2ur/H5/pwuQiPU7GyMGN9LpAMDqejupEGsWJZZkgg8vzYIBcC7HJBk/++yzqqio0Lnnnhv1uBtvvFGDBg3SgAED9P777+uBBx7Q7t279corr0R8TGVlpZYtW2b1kJFhgrMe0fTO7a4ry5w/u5js7EgywUew6nRj84mwM0jhZsHYTg4gXpYHOAsXLtTy5cujHvPBBx9o+PDhoeuffPKJ/vCHP+jXv/51zOe/4447Qv998cUXq6SkRFOmTNHevXs1bNiwsI9ZtGiRFixYELru9/tVWloa87WAjifWw8daY856HD3e5orckUQDFCuW4IJVp+eu3i6f1CnICVd1OhXbyQmYAO+zPMC57777NHv27KjHDB06tNP1lStXqm/fvvrqV78a9+uNHTtWkrRnz56IAU5OTo5ycnLifm5ktnAnVjPckDsSaxYlHCtbXpitOp2K7eTU3wEyg+UBTmFhoQoLC00fbxiGVq5cqVtvvVXdu3eP+/VqamokSSUl/DDBOpFOrGa4IXck1iyKIZ2RTG11y4tpI0p0ZVlxxJmUVBRVpP4OkDlsz8HZtGmT9u3bp29+85tn3FdfX68pU6bo+eef15gxY7R3716tWbNGV199tfr27av3339f9957r6644gpdcsklNoweXpToDiNJKji7uxr9J1S994jjlz1izaJECz6sEq3qtNXbyTOpCjUABwQ4zz77rMaPH98pJyeora1Nu3fvDu2Sys7O1oYNG/T444+rpaVFpaWlmjFjhhYvXpzuYcPDktlh1NTSpntfqpHkjmWPWLMo8eQSWZ3XYvV2curvAJnF9gBnzZo1Ee8bPHiwOvYCLS0t1RtvvJGOYSGDWZVD45ZlDyt6d6Uir8Xq7eTU3wEyi2Pq4ABOYfaE+eD0i/TY/71UBWdnh70/3W0H2gOGqvce0dqaelXvPZK2VgfBvBazrR3MjjOYCB1pDsin00GU2R1d1N8BMovtMziA05it0zL7S0O0dV+TmlpORnyudC172LUzKN68lnjGGe928lgSqb8DwL2YwQG6CJ5YJZ0xe9D1xOqEZY94Z1CsFE9eSyLjDCZCF+d3nlUpzu8R99JfPP+uANyPGRwgDLN1Wuxe9jDTmXvhK39Wr5zuGjesr+Unb7OBW6P/hH5QtSuhHUyxEqHjYfbfFYD7EeAAEZg5sdq97GFmx9fR42266dk/pmTJymzg1vR59CrQsZbyrEiEDrIyYALgXAQ4QBSxTqxW54nEK56lr1Ts6jIb4EVKxO4qXTuYrAyYADgTOThAkqzME4lXPEtfqdjVZTavpTi/p6nnYwcTAKswgwNYwK5lj3h7SqViV5eZvJb2gMEOJgBpRYADWMSOZY9oS2TRWL0UFCvAs3spD0DmYYkKcLlIS2TRpGIpKBjgXTdyoMrD7NiycykPQObxGR17IWQIv9+v/Px8NTc3Ky8vz+7hAJZoDxja8tcjmvfCdh39n7awxwSXgt56YLJtsyVW96wCkDniOX+zRAV4RLcsn750fj99f8bFmrt6uyRnLgWxgwlAOrBEBXhMcCmof15Op9v75+WwFAQgYzCDA3hWpI3b9mKJCkA6EOAAHhPs+dQ1ue6g3/pCf4mMzY6moAAyD0tUgIeY6U1lZaG/eNjZFBRA5iHAATzEbHfvVW/v09qaelXvPZKWYMfJgRcAb2KJCvAQswX8vve7D0L/nY4lIrOBl5UVlgFkNmZwAA9JpIBfOpaIzAZe6Wq2CcD7CHAADwn2popnT1I6lojMBl77D7ek5PUBZB4CHMBDonX3jqbjElEqfNZyUmZ2gj+24UOSjQFYggAH8JhEelMFpWKJqKq2QfPWbJeZySGfSDYGYA2SjAEP6trd+/Cx1k6JxZFY3YQz2u6pcEg2BmAVAhzAozr2fGoPGPrlW/vU2HwibLARbMI5ZkhBQq8VqTpxrN1TkZBsDCBZBDhABgjm5sxdvV0+WduEM1p14tZTgYTGa/VMEoDMQw4OkCEi5eYU5/dIuH1DrOrE+w8fj+v5fDodHCU6kwQAQczgABmka25OvM0uOy5F9TsnR0t/uyNidWKfpBffqVNxXo4O+ltj5uEkO5MEAB0R4AAZpmNuTjzCLUVFE0wYvnfqBXp8w4dnLI11VUzTTQAWIsABEFOkDuVmDO53tlbcPCpsns43vnieBvfLjXsmCQBiIcABEFW8W727KurVQ+XD+ia1NAYA8SLAARBVolu9u249T3RpDAASwS4qAFElUpOGhGEAdmMGB8ggkQryRZNITRoShgHYjQAHyBDRCvJFC0SCHcpjVUF+9P9cqsMtreTXAHAElqiADBCrIF+0Dt7ROpR3XIr60gX9dN3IgSof1pfgBoDtCHAAj4u2Cyp4W6wO3qmoggwAqcQSFeBxsXZBme3gnWwVZABIJwIcwOPM7oIycxxbvQG4RcqWqB555BGNHz9eubm56t27d9hj6urqNH36dOXm5qqoqEj333+/Tp06FfV5m5qadNNNNykvL0+9e/fW7bffrs8//zwF7wDwBrO7oOjgDcBLUhbgnDx5UjfccIPmzp0b9v729nZNnz5dJ0+e1ObNm/Xcc89p1apVeuihh6I+70033aQdO3Zo/fr1Wrdund58803dcccdqXgLgCcEd0FFWkiigzcAL/IZhpFoBXZTVq1apXvuuUdHjx7tdPvvf/97XXPNNTpw4ID69+8vSXrqqaf0wAMP6NNPP1V2dvYZz/XBBx+orKxM77zzji6//HJJUlVVla6++mp98sknGjBggKkx+f1+5efnq7m5WXl5ecm9QcAFgruopM4NL4NBD4nCANwgnvO3bbuoqqurdfHFF4eCG0mqqKiQ3+/Xjh07Ij6md+/eoeBGkqZOnaqsrCz98Y9/jPhara2t8vv9nS5AJmEXFIBMY1uScWNjY6fgRlLoemNjY8THFBUVdbrtrLPOUkFBQcTHSFJlZaWWLVuW5IgBd2MXFIBMEtcMzsKFC+Xz+aJedu3alaqxJmzRokVqbm4OXT7++GO7hwTYIrgLioJ8ALwurhmc++67T7Nnz456zNChQ009V3FxsbZu3drptoMHD4bui/SYQ4cOdbrt1KlTampqivgYScrJyVFOTo6pcQEAAPeLK8ApLCxUYWGhJS9cXl6uRx55RIcOHQotO61fv155eXkqKyuL+JijR49q27ZtGj16tCRp06ZNCgQCGjt2rCXjAgAA7peyJOO6ujrV1NSorq5O7e3tqqmpUU1NTahmzVVXXaWysjLdcssteu+99/SHP/xBixcv1rx580KzLVu3btXw4cNVX18vSbrooos0bdo0zZkzR1u3btXbb7+t+fPn6xvf+IbpHVQAAMD7UpZk/NBDD+m5554LXb/sssskSa+//romTpyobt26ad26dZo7d67Ky8t19tlna9asWXr44YdDjzl+/Lh2796ttra20G0vvPCC5s+frylTpigrK0szZszQT3/601S9DQAA4EIpr4PjRNTBgde0Bwx2RwHwvHjO3/SiAlyuqrZBy17d2amhZkl+Dy25toz6NgAylm2F/gAkL1ihuGu38MbmE5q7eruqahtsGhkA2IsAB3Cp9oChZa/uVLg15uBty17dqfZAxq1CAwABDuBWW/c1nTFz05EhqaH5hLbua0rfoADAIQhwAJc6dCxycJPIcQDgJQQ4gEsV9eoR+6A4jgMALyHAAVxqzJACleT3UKTN4D6d3k01ZkhBOocFAI5AgAO4VLcsn5Zce7qtSdcgJ3h9ybVl1MMBkJEIcAAXmzaiRCtuHqXi/M7LUMX5PbTi5lHUwQGQsSj0B7jctBElurKsmErGANABAQ7gAd2yfCof1tfuYQCAY7BEBQAAPIcABwAAeA4BDgAA8BwCHAAA4DkEOAAAwHMIcAAAgOcQ4AAAAM8hwAEAAJ5DgAMAADwnIysZG4YhSfL7/TaPBAAAmBU8bwfP49FkZIBz7NgxSVJpaanNIwEAAPE6duyY8vPzox7jM8yEQR4TCAS0e/dulZWV6eOPP1ZeXp7dQ3INv9+v0tJSPrc48bkljs8uMXxuieFzS0y6PjfDMHTs2DENGDBAWVnRs2wycgYnKytLAwcOlCTl5eXxJU4An1ti+NwSx2eXGD63xPC5JSYdn1usmZsgkowBAIDnEOAAAADPydgAJycnR0uWLFFOTo7dQ3EVPrfE8Lkljs8uMXxuieFzS4wTP7eMTDIGAADelrEzOAAAwLsIcAAAgOcQ4AAAAM8hwAEAAJ6TkQHOI488ovHjxys3N1e9e/c+4/733ntPM2fOVGlpqXr27KmLLrpIP/nJT9I/UIeJ9blJUl1dnaZPn67c3FwVFRXp/vvv16lTp9I7UIf7y1/+ouuuu079+vVTXl6eJkyYoNdff93uYbnG7373O40dO1Y9e/ZUnz59dP3119s9JNdobW3VyJEj5fP5VFNTY/dwHG3//v26/fbbNWTIEPXs2VPDhg3TkiVLdPLkSbuH5kg/+9nPNHjwYPXo0UNjx47V1q1b7R5SZgY4J0+e1A033KC5c+eGvX/btm0qKirS6tWrtWPHDn33u9/VokWL9OSTT6Z5pM4S63Nrb2/X9OnTdfLkSW3evFnPPfecVq1apYceeijNI3W2a665RqdOndKmTZu0bds2XXrppbrmmmvU2Nho99Ac7z/+4z90yy236LbbbtN7772nt99+WzfeeKPdw3KNf/7nf9aAAQPsHoYr7Nq1S4FAQE8//bR27Nihxx57TE899ZS+853v2D00x3nppZe0YMECLVmyRNu3b9ell16qiooKHTp0yN6BGRls5cqVRn5+vqljv/3tbxuTJk1K7YBcItLn9tprrxlZWVlGY2Nj6LYVK1YYeXl5RmtraxpH6FyffvqpIcl48803Q7f5/X5DkrF+/XobR+Z8bW1txsCBA41f/vKXdg/FlV577TVj+PDhxo4dOwxJxrvvvmv3kFznBz/4gTFkyBC7h+E4Y8aMMebNmxe63t7ebgwYMMCorKy0cVSGkZEzOIlobm5WQUGB3cNwtOrqal188cXq379/6LaKigr5/X7t2LHDxpE5R9++fXXhhRfq+eefV0tLi06dOqWnn35aRUVFGj16tN3Dc7Tt27ervr5eWVlZuuyyy1RSUqKvfOUrqq2ttXtojnfw4EHNmTNH//Zv/6bc3Fy7h+NanAfOdPLkSW3btk1Tp04N3ZaVlaWpU6equrraxpFl6BJVvDZv3qyXXnpJd9xxh91DcbTGxsZOwY2k0HWWX07z+XzasGGD3n33XfXq1Us9evTQj3/8Y1VVValPnz52D8/R/vrXv0qSli5dqsWLF2vdunXq06ePJk6cqKamJptH51yGYWj27Nm68847dfnll9s9HNfas2ePnnjiCX3rW9+yeyiOcvjwYbW3t4f97bf7d98zAc7ChQvl8/miXnbt2hX389bW1uq6667TkiVLdNVVV6Vg5PZK1eeWacx+joZhaN68eSoqKtJ///d/a+vWrbr++ut17bXXqqGhwe63YQuzn10gEJAkffe739WMGTM0evRorVy5Uj6fTy+//LLN7yL9zH5uTzzxhI4dO6ZFixbZPWRHSOQ3r76+XtOmTdMNN9ygOXPm2DRyxOssuwdglfvuu0+zZ8+OeszQoUPjes6dO3dqypQpuuOOO7R48eIkRudcVn5uxcXFZ2TOHzx4MHSfl5n9HDdt2qR169bps88+U15eniTp5z//udavX6/nnntOCxcuTMNoncXsZxcMAMvKykK35+TkaOjQoaqrq0vlEB0pnu9cdXX1GT2CLr/8ct1000167rnnUjhK54n3N+/AgQOaNGmSxo8fr1/84hcpHp379OvXT926dQv91gcdPHjQ9t99zwQ4hYWFKiwstOz5duzYocmTJ2vWrFl65JFHLHtep7HycysvL9cjjzyiQ4cOqaioSJK0fv165eXldTopeZHZz/H48eOSTq9Rd5SVlRWaocg0Zj+70aNHKycnR7t379aECRMkSW1tbdq/f78GDRqU6mE6jtnP7ac//an+5V/+JXT9wIEDqqio0EsvvaSxY8emcoiOFM9vXn19vSZNmhSaLez6dwspOztbo0eP1saNG0MlGwKBgDZu3Kj58+fbOjbPBDjxqKurU1NTk+rq6tTe3h6qB3H++efrnHPOUW1trSZPnqyKigotWLAgtI7YrVs3S4Mot4n1uV111VUqKyvTLbfcoh/84AdqbGzU4sWLNW/ePEd1mLVTeXm5+vTpo1mzZumhhx5Sz5499cwzz2jfvn2aPn263cNztLy8PN15551asmSJSktLNWjQIP3whz+UJN1www02j865zjvvvE7XzznnHEnSsGHDdO6559oxJFeor6/XxIkTNWjQID366KP69NNPQ/fZPTPhNAsWLNCsWbN0+eWXa8yYMXr88cfV0tKi2267zd6B2bqHyyazZs0yJJ1xef311w3DMIwlS5aEvX/QoEG2jttusT43wzCM/fv3G1/5yleMnj17Gv369TPuu+8+o62tzb5BO9A777xjXHXVVUZBQYHRq1cvY9y4ccZrr71m97Bc4eTJk8Z9991nFBUVGb169TKmTp1q1NbW2j0sV9m3bx/bxE1YuXJl2N+7DD1txvTEE08Y5513npGdnW2MGTPG2LJli91DMnyGYRjpDKgAAABSjQVFAADgOQQ4AADAcwhwAACA5xDgAAAAzyHAAQAAnkOAAwAAPIcABwAAeA4BDgAA8BwCHAAA4DkEOAAAwHMIcAAAgOcQ4AAAAM/5//DWVS5fFuidAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import datasets\n",
"from sklearn.metrics.pairwise import euclidean_distances\n",
"\n",
"#X,y = datasets.make_moons(n_samples=100, random_state = 42, noise = 0.1 )\n",
"X,y = datasets.make_blobs(n_samples=100, centers = 4, random_state = 1 )\n",
"\n",
"plt.scatter (X[:,0], X[:,1])\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1500x1000 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.cluster.hierarchy import linkage, dendrogram, fcluster\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
" \n",
"\n",
"# Реализация иерархической кластеризации при помощи функции linkage\n",
"\n",
"mergings = linkage(X, method='complete')\n",
" \n",
"# Строим дендрограмму, указав параметры удобные для отображения\n",
"\n",
"plt.figure(figsize=(15, 10))\n",
"dendrogram(mergings)\n",
"plt.show()\n",
" \n"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 1 2 2 1 2\n",
" 2 2 2 2 2 2 2 2 1 2 2 2 1 2 1 1 2 2 2 1 1 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2 2\n",
" 2 1 2 2 2 1 2 2 2 2 2 1 1 1 1 2 1 2 1 2 2 2 2 2 2 2]\n"
]
}
],
"source": [
"T = fcluster(mergings, 10, 'distance') # distance or maxclust\n",
"print (T)"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(5, 5))\n",
"plt.scatter (X[:,0], X[:,1], c=T)\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {},
"outputs": [],
"source": [
"def update_cluster_centers(X, c):\n",
" ix = np.where(c==1)\n",
" mu[0,:] = np.mean(X[ix,:], axis=1)\n",
" ix = np.where(c==2)\n",
" mu[1,:] = np.mean(X[ix,:], axis=1)\n",
" ix = np.where(c==3)\n",
" mu[2,:] = np.mean(X[ix,:], axis=1)\n",
" ix = np.where(c==4)\n",
" mu[3,:] = np.mean(X[ix,:], axis=1)\n",
" return mu"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[-1.56129966 4.21898437]\n",
" [-7.5371344 -4.96080784]\n",
" [ nan nan]\n",
" [ nan nan]]\n"
]
}
],
"source": [
"mu = np.array([[0.0,0], [0,0], [0,0], [0,0]])\n",
"mu = update_cluster_centers(X, T)\n",
"print(mu)"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (5,5))\n",
"plt.scatter (X[:,0], X[:,1], c=T)\n",
"plt.scatter(mu[:,0],mu[:,1], c = 'red', marker = 'o')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 124,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0 custer dist: [[43.11598405]]\n",
"1 custer dist: [[723.0435087]]\n",
"2 custer dist: 0\n",
"3 custer dist: 0\n",
"Summary of squared cluster dist: [[766.15949275]]\n",
"Mean summary of squared cluster dist: [[191.53987319]]\n"
]
}
],
"source": [
"#Сумма квадратов расстояний до центроида\n",
"\n",
"cluster_dist=0\n",
"for j in range(0, np.shape(mu)[0]):\n",
" summ = 0\n",
" obj = np.where(T==j+1)\n",
" for i in range(0, np.shape(obj)[1]):\n",
" #print(euclidean_distances(mu[j].reshape(1,-1), X[obj[0][i],:].reshape(1,-1)))\n",
" summ = summ + (euclidean_distances(mu[j].reshape(1,-1), X[obj[0][i],:].reshape(1,-1)))**2\n",
" if(summ>0):\n",
" summ = summ\n",
" cluster_dist = cluster_dist + summ\n",
" print(j,' custer dist: ', summ)\n",
"print (\"Summary of squared cluster dist: \", cluster_dist)\n",
"\n",
"print (\"Mean summary of squared cluster dist: \", cluster_dist / np.shape(mu)[0])\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# K-means"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.cluster import KMeans"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[3 2 3 2 1 1 0 0 0 3 0 0 2 0 3 0 0 3 1 1 3 3 3 2 1 0 0 3 2 1 1 3 1 2 3 1 3\n",
" 0 2 3 3 0 0 2 3 1 3 2 3 1 2 1 1 2 0 3 1 1 3 2 0 1 2 2 0 3 0 2 0 1 2 3 3 0\n",
" 2 1 2 3 0 1 2 2 3 2 0 1 1 1 1 2 1 0 1 2 2 3 0 0 2 0]\n"
]
}
],
"source": [
"model = KMeans(n_clusters=4, n_init=10)\n",
"model.fit(X)\n",
"all_predictions = model.predict(X)\n",
"print (all_predictions)"
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (5,5))\n",
"plt.scatter (X[:,0], X[:,1], c=all_predictions)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Sum of squared distances of samples to their closest cluster center.: 158.76686919578418\n"
]
}
],
"source": [
"print('Sum of squared distances of samples to their closest cluster center.:', model.inertia_)"
]
},
{
"cell_type": "code",
"execution_count": 129,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[3015.7692276196085, 766.1594927527818, 369.5556880065657, 158.76686919578418, 136.07776106430828, 119.41082903949317, 102.06541733084515, 90.40896447881985, 79.46925530063092]\n"
]
}
],
"source": [
"inertia = []\n",
"for k in range(1,10):\n",
" kmeans = KMeans(n_clusters=k, random_state=1, n_init=10).fit(X)\n",
" inertia.append((kmeans.inertia_))\n",
"print (inertia)"
]
},
{
"cell_type": "code",
"execution_count": 130,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<function matplotlib.pyplot.show(close=None, block=None)>"
]
},
"execution_count": 130,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(5,5))\n",
"plt.plot(range (1,10), inertia, marker='s')\n",
"\n",
"plt.show"
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"kmeans = KMeans(n_clusters=6, random_state=1, n_init=10).fit(X)\n",
"plt.scatter (X[:,0], X[:,1], c=kmeans.predict(X))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## DBSCAN"
]
},
{
"cell_type": "code",
"execution_count": 132,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.cluster import DBSCAN"
]
},
{
"cell_type": "code",
"execution_count": 137,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Estimated number of clusters: 4\n",
"Estimated number of noise points: 8\n"
]
},
{
"data": {
"text/plain": [
"array([ 1, 0, 1, 0, 2, 2, 3, 3, 3, 1, 3, 3, 0, 3, -1, 3, 3,\n",
" 1, 2, 2, 1, 1, 1, 0, 2, 3, 3, -1, 0, 2, 2, 1, 2, 0,\n",
" 1, -1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 2, 1, 0, 1, 2, 0,\n",
" 2, 2, 0, 3, 1, 2, 2, 1, 0, -1, 2, 0, 0, 3, 1, 3, 0,\n",
" 3, 2, 0, 1, 1, 3, 0, 2, 0, 1, 3, -1, 0, -1, 1, -1, 3,\n",
" 2, 2, 2, 2, 0, 2, 3, -1, 0, 0, 1, 3, 3, 0, 3],\n",
" dtype=int64)"
]
},
"execution_count": 137,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#db = DBSCAN(eps=0.3, min_samples=7).fit(X) # параметры для make_moons \n",
"db = DBSCAN(eps=1.2, min_samples=6).fit(X)\n",
"labels = db.labels_\n",
"n_clusters_ = len(set(labels)) - (1 if -1 in labels else 0)\n",
"n_noise_ = list(labels).count(-1)\n",
"\n",
"print(\"Estimated number of clusters: %d\" % n_clusters_)\n",
"print(\"Estimated number of noise points: %d\" % n_noise_)\n",
"labels"
]
},
{
"cell_type": "code",
"execution_count": 139,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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OEe3r3bf59K9459h7MKtm6IQOUkp8duILDI0dgps6/gXBSlCDX1cNq2rFd9lrHCY3NX7O+wWXpExv9HWoNs6iIiIiTS3N+Bhm1Vzn1pKs/ufdo++jSq1yeZ5PT3zuMLkJ14Whb1TfevftKtyN14/8155gnT3NfEv+Vrx95J2GvJw6/ijcAStcFzPMNeU26TpUGxMcIiLSzBnTGZezn8qsZdhRuNPpefJMp7Eya5XD/RXWSnx9amW9+744ucLhiuASEr/mb0F2RbbT6zuz+cxvLttISITpwhp9DaqLCQ4REWkmz3TaZRsFCnJNeU7bbDy9yWGhQMA2/uaX05vq9ATlmwtwpOyo09tHChRsLdjmMk5HsirdS46Gxg1p9DWoLo7BISIizUTow122UaG6bJdvzrfNuHIyzMUiLSizliFKibJvq7RWury+EAIV1gqnbY6XZWBrwe+otFaiVUgyhscNQ5je1iMT7kbPTLASjE7hHV22I/cxwSEiIs2khKagdUgrZFVmO+xF0QsdBsT0d3qeSH2k0yrGAKATOoSek2zEBEdDL/Soko7H+FilFckhSfXuq7RW4tXDb2Bn4S4oUCCEgCqt+F/GJ7ihwxyMjB+OYXFDcbD0kNPYpiRPanLBvxPlJ/HL6Y3INxcgKsiIkfEj0D68XZPO6c94i4qIiDQjhMCs1JlObxFNbXUhIvQRTs8zIn6403E8ChQMjhlUZzZUqC4UI+KGOb29ZVAMGBpb/+2jVw+/gd2FewDYepqs0goJW2/Rm0fewu6iPRgZPxxxwXH1XkNAIFIfgYlJ452+PmdUqeK9ox/goT2P4LvsNdiavxU/5KzDor2P47X0N9waoO1JldZK5JnyUF5V7tXrnosJDhERaWpATH/c0nEeQnWhAGBPBHRCh+mtpuHSlEtcniMltDXOjx9Z72BhBQqClCBcknJRvcfObHMZooOj6yQgovqfv3SYA4POUOe4jPJM7Czc5TCxEhBYcfJrhOhCsLDHfWgd2toej07oAAAJhng80P0+GIOMLl+jI1+dWol1eesB2JIsFX+upP5b/lZ8nPFJo8/dEDmVuXj98H9x+/a/4u87H8Dt2/+KFw6+hIzyTK9c/1xCuurTC0DFxcWIiopCUVERjMbG/1AREZHnmFUzthX8gdOm04jQR2BQzABEBkW6fXyVWoVPMj/Fmpy1tZKOZEMSbu10s8MaOABQaC7CZye+wOYzm+3LKHSO6IRLUy5B76he9R7z2YkvsPLUKqc9RwDwUv/nYQyy3UJLKzmIfcX7oUJF14gu6B3VC4pofF+DyWrCX/9YgErV8VgindDhxfP+g4gg571gTZFVkY3H9z2JSmtlrfejJpl7oMe96BzRqcnXacj3N8fgEBGRTwhWgjE8bmijj9cJHUJ0IfbBxgICEhIFlkJkVpxwmuBEB0fhxo5zcU27q1BgLkSoLgTRwdEoMBfi9cNvYm/RfphVM2KDYzApeSJGxg9HpdXkcmAzAJjUSgCREEKgu7Ebuhu7Nfo1nutQabrT5AawjSHaXby3Se+tK0uOvV8nuQFsPUpSSrx5+C38u+8/vbqwKBMcIiIKCCtOfY0Vp762P68Z12NSTXj76LsI0RkwJHaw03OE6ELsyzNsyP0Z7xxbUmv/qcosLDn2PpZlLsfIuOGwSucF/AyKAVFB0Q1/MW4yqxa32lncbNcYOZU5OFCS5nC/hESOKRcHSw+hW2TXZovjXByDQ0REfq+8qhwrT33jtM0nmZ+5nGlV40BxWp3k5mwV1gr8kLvOYYFAwHZ75oKEUU1a5sGV1LAUt9q1DUttthjcrfOTVZHVbDHUhwkOERH5vT8Kd9rHzjiSZ8rD8fIMt863wkHV43PV9BKdm+goUJBgSMCM1he7dZ7GSjAkoLexl8NZYAoUtAtr16zTxUOUELfaGXTutfMUJjhEROT3yqrKnPamnN3OlSq1CvuK97l9bZ3QoVPEn0X6DIoB45PG4pFeDzbrwN4aN3S4HsagyDpJjgIFIboQ3NLpJvs2i2rBlvyt+PrUN1iXux5FlqImX79zRCdEupjGHyT06Bvl3qrwnsIxOERE5PcSDQkuV+sGgHhDvMs2zor+1ccqrZjWaiq6RnRGpVqJqKAoBDXjbalzxRvi8VivR7AqazU25P2MSrUSwUowRsWPwNRWFyKh+jVvzf8d7x59H2XWMihQoELFB8c+wsSk8biq7RWNns2lV/S4pPXF+DBjqcM2k5InIVzv3bW2mOAQEZHf6xPdG0a9EcVVxfXuV6CgS2RnJIUkujyXQTEgOigahZZCt69fJS2ICIpABJq/x6Y+0cHRuLrdVZjd9kqYVBOCleBaCcvuoj14Jf11exJYM9tJhYrvctYAAK5ud1Wjrz8haRzKreX48uRXkJBQhAIpbfV4xieOw+VtLm3Cq2scJjhEROT3dEKHv3SYgxcOvQwAtXpzagr9XdvuarfOJYTA5OSJWJa53O3rtwtr27CAm4kQAiH1jHX5NPMLp8etyVmLqa2mIDo4utHXvSRlOkYnnI9NZ35FvjkfxiAjhscNRYIhoVHnbComOEREFBD6x5yHe7stwCeZn+JY+XH79p7GHriq7RVIDWvj9rkmJo3HjoKdSCs96LSdAgU9jN2R5GCtKl+QZ8rDsfJjTttISGzN34aJyY1fMgKw9SRNbTWlSefwFCY4REQUMHpF9cRjUY8gpzIHJVWliA2ORWxwTIPPE6QE4d7uC7A6ew1WnVqFcrXuauIKFEQFGXFjhxs8EXqzKXVjYLUCBaXWUi9E4z1McIiIKOAkhSQhCU3rVQlSgjC99VRc1OpC5JnysC53PX4+vRGlVaWI1EdidML5mJw8sUnrSHlDXHCsvaqzI1ZYkajRraTmwgSHiIjICSEEEkMScVXbK3BV2ysgpfTqkgNNZQwyon90P+xwsjCoQTFgUMxAL0fWvFgHh4iIqAH8KbmpcWXbKxCiC6l3xXQAmNP+2npXTPdnTHCIiIgCXHJIEhb1fAh9o/vUKojYOrQV7upyB0bGj9AwuubBW1REREQtQHJoMu7u+lcUmgtx2nQaYfpwtApJ9sseKXcwwSEiImpBooOjG13vxp/wFhUREREFHCY4REREFHCY4BAREVHAYYJDREREAYcJDhEREQUczROcxYsXY/DgwYiMjERiYiJmzJiBtLQ0p8csWbIEQohaj5CQuqunEhERUcukeYKzYcMGzJ8/H7/++ivWrFkDi8WCSZMmoazM+eJgRqMRWVlZ9sfx48edticiIqKWQ/M6OKtXr671fMmSJUhMTMS2bdtwwQUXODxOCIHk5OTmDo+IiKhFy6nMwcbTm1FkKUZ0UBRGxo9AYojvL8ypeYJzrqKiIgBAbGys03alpaVo164dVFXFgAED8M9//hO9evWqt63JZILJZLI/Ly4u9lzAREREAUiVKpYe/xhrctdCgQIhBKSU+PLUV5iUNBGz214BRWh+I8ghn4pMVVX87W9/w8iRI9G7d2+H7bp164Z33nkHK1aswIcffghVVTFixAicOHGi3vaLFy9GVFSU/ZGamtpcL4GIiCggrDj5NdbkrgUAqFBhlVb7auTf56zB16e+0TI8l4SUUmodRI3bbrsN3377LX755Re0adPG7eMsFgt69OiB2bNn44knnqizv74enNTUVBQVFcFoNHokdiIiokBRaa3EnX/cDbNqdtjGoBjwUv/nvLoKeXFxMaKiotz6/vaZW1R33HEHVq5ciZ9++qlByQ0ABAUFoX///khPT693v8FggMEQWMvAExERNZd9xfudJjcAYFJN2F9yAOdF9/NSVA2jeYIjpcSdd96JL774AuvXr0eHDh0afA6r1Yrdu3dj6tSpzRAhERGR78rNyMPXr32PjSu2wmKyoPvQzrjk9inoPapHo89psppcNwJgsjpPgrSkeYIzf/58LF26FCtWrEBkZCSys7MBAFFRUQgNDQUAXH/99UhJScHixYsBAI8//jiGDRuGzp07o7CwEE8//TSOHz+Om266SbPXQURE5G071+/FQ9P+CYu5CqrVNj4mL/M01n+8Cdc9MgvXP3pFo87bOrS1W+1SQls16vzeoPkg49deew1FRUUYM2YMWrVqZX8sW7bM3iYjIwNZWVn25wUFBZg3bx569OiBqVOnori4GJs2bULPnj21eAlEREReV1JQiv+7+F8wmyz25AYArFW2///g8eXY/PXvjTp3u/C2aB/WHoqDNEGBgk7hHdEmrGFDSrzJpwYZe0tDBikRERH5os+f/wav3/MeHH2NKzoFvUd1x7M/Ptao82eWn8CT+/8Fk9Vknz0F2JKbEJ0BD/d8EClu9vR4SkO+vzXvwSEiIqKG2/XzPqf7VauKPb8ccJgAuZIa1gaP9fo/DIsbCp3QAQD0Qo/hccPwaK9HvJ7cNJTmY3CIiIio4YQQzX6NpJAk3NLpJtzQ4XqUV5UjTB+OYCWo2a/rCezBISIi8kN9znc+S0rRKehzfg+PJELBSjCig6P9JrkBmOAQERH5pUlzxiAkIgRCqT+BUa0qLl8w3ctR+Q4mOERERH4oIjocT3x1P4JDgqHo/vw61+lt/3/9o1dg2EUDtQpPcxyDQ0RE5Kf6je6Fdw+8gJWvf49NK7bCXFld6G/+FPQc3k3r8DTFaeKcJk5EROQXOE2ciIiIWjQmOERERBRwmOAQERFRwGGCQ0RERAGHCQ4REREFHCY4REREFHCY4BAREVHAYYJDREREAYcJDhEREQUcJjhEREQUcJjgEBERUcBhgkNEREQBhwkOERERBRwmOERERBRwmOAQERFRwGGCQ0RERAGHCQ4REREFHCY4REREFHCY4BAREVHAYYJDREREAYcJDhEREQUcJjhEREQUcJjgEBERUcBhgkNEREQBhwkOERERBRwmOERERBRwmOAQERFRwGGCQ0RERAGHCQ4REREFHCY4REREFHCY4BAREVHA8YkE55VXXkH79u0REhKCoUOHYsuWLU7bL1++HN27d0dISAj69OmDVatWeSlSIiIi8geaJzjLli3DggULsGjRImzfvh39+vXD5MmTkZubW2/7TZs2Yfbs2bjxxhvxxx9/YMaMGZgxYwb27Nnj5ciJiIjIVwkppdQygKFDh2Lw4MF4+eWXAQCqqiI1NRV33nknHnjggTrtr7zySpSVlWHlypX2bcOGDcN5552H119/3a1rFhcXIyoqCkVFRTAajZ55IURERNSsGvL9rWkPjtlsxrZt2zBhwgT7NkVRMGHCBGzevLneYzZv3lyrPQBMnjzZYXsAMJlMKC4urvUgIiKiwKVpgnP69GlYrVYkJSXV2p6UlITs7Ox6j8nOzm5QewBYvHgxoqKi7I/U1NSmB09EREQ+S/MxON6wcOFCFBUV2R+ZmZlah0RERETNSK/lxePj46HT6ZCTk1Nre05ODpKTk+s9Jjk5uUHtAcBgMMBgMDQ9YCIiIvILmvbgBAcHY+DAgVi7dq19m6qqWLt2LYYPH17vMcOHD6/VHgDWrFnjsD0RERG1PJr24ADAggULMGfOHAwaNAhDhgzB888/j7KyMtxwww0AgOuvvx4pKSlYvHgxAOCuu+7C6NGj8eyzz2LatGn4+OOP8fvvv+PNN9/U8mUQERGRD9E8wbnyyiuRl5eHRx55BNnZ2TjvvPOwevVq+0DijIwMKMqfHU0jRozA0qVL8fDDD+PBBx9Ely5d8OWXX6J3795avQQiIiLyMZrXwdEC6+AQERH5H7+pg0NERETUHJjgEBERUcBhgkNEREQBhwkOERERBRwmOERERBRwmOAQERFRwGGCQ0RERAGHCQ4REREFHCY4REREFHCY4BAREVHA0XwtKiLyTVItBawZgAgFdO0hhNA6JCIitzHBIaJapJoPWfwMUPkVALNto649EHEnROh0LUMjInIbExwispNqAeSZKwDrSQDWP3dYj0MW3QOouRDhN2oWHxGRuzgGh4jsZOkbdZMb2x7bv0uehrTmeD0uIqKGYoJDRAAAKauAik9QN7k5R8UXXomHiKgpmOAQkY0sBmSpi0YC0prhlXCIiJqCCQ4R2YgwuP5IEICI9EY0RERNwgSHiAAAQoQAhnEAdE5aVUGETvNWSEREjcYEh4jsRMR8AKL6cS4FCB4NEdTXy1ERETUcExwishNBvSBi/gsoMdVb9LB/TBgmQkS/oFVoREQNwjo4RFSLMIwEEn4GTOuAqoO2SsaG8RD6DlqHRkTkNiY4RFSHEEFAyGQAk7UOhYioUXiLioiIiAIOe3CIyK9Jazag5gNKIoQuXutwiMhHMMEhIr8kzX9AljwDWLZWbxGQwRdARN4HEdRF09iISHu8RUVEfkeaNkPmXwNYtp29FTD/Apl/OaTlgGaxEZFvYIJDRH5FShWyaCEAtfpxNisgTZDFizSIjIh8CW9REZF/Mf8KqKecNFAByx+QVUcg9B29FpYnSSkByzbIyu8BWQ6h7wSEzoCw1yciIleY4BCRf3F3sU9rBnBOgiOlBKr2ANbTgC4R0PeEEPVVbdaOVIsgC24DLL+j5iNawgqUPAMYn4AIu0zbAIn8BBMcIvIv7i72eU47aVoPWfxPwHrsz426joDx/2zFDX2AlBKyYD5g+aN6S9VZey2QxQsBXQKE4XwtwiPyKxyDQ0T+xTAaQIjzNkoiEHSe/amsXAdZcAtgPV67nfUoZMGNkKafPR5mo1h2ApYtAKwOGgjI0le9GRGR32KCQ0QAAKkWQJZ/DFn6CmT5Z5BqqdYh1UsoERARtzpvE7EAQthWRZdShSx+rHqPPKelBCAhix+33b7SmDStgfPV3FXb2By10EsREfkv3qIiauGklEDZa5Clr8B2S0Rn+2/xY0DkfRDh12ocYT3CbwOkCSh7E7aZVDrYej2CbHVwzh6nYt4CqFlOTiZtPTuWHUBw/+aM2jVZgfpXcj+3XWWzh0Lk75jgELV0ZW9Blj5/1oaacR+VkCWPAyLMnjBI83bIsncA88+AVIGg8yDC59gW4/TiYF0hBETk3ZBh1wOVqyDVfAhdMhAyFUI5Z4yOmu3eSd1t14yEvottQLHTRpGAEuudgIj8GBMcohZMquWQZa84b1P6LBB6CVDxGWTx/8F2Z7v6S9iyFbLwNyDsRltvj5dnJAldHBB+nfM+DyXOvZO52645hUwHihcDMKHu7TQAUICwqyBEsJcDI/I/HIND1JKZfwZkufM2ah5k5arq5Eai9gDY6kJ75W8D5g3NFGQTBQ9znbwoyUDQQO/E44RQIiCi/w3bbapzx+IogL4LRPhtGkRG5H/Yg0MBSUqJvQezsObn/SgqqUCrxChMG9cbbVqxUFotapF77Sq/Ra2emzp0kGXvQxjGeCYuDxIiCIi8D7LofsdtIu+3D0rWmgi5EIiNhyx9DTD/Ur0xCgibDRF+M4QSoW2ARH6CCQ4FHJPJgkf+8zU2/n4EOp0CKSUEgA8+/w3XXjoEt1xzvs8Vd9OMrq177awn4Ti5gW2fZacnImoWIvRSQErIkn8BsvCsHTEQxocgQqdpFlt9RPBgiNjBkGqZbUCxEu0zCRiRv9DsFtWxY8dw4403okOHDggNDUWnTp2waNEimM1mp8eNGTPGNsDwrMettzqfMkoty1Ovr8HmbUcBAFarClWVsKq28QwffrEFn337h7PDW5bgIYAuBY5n7iiAvg9w7sDdevn270si7DKIxF8gol+HMD4OEf2G7XnoxVqH5pBQwiF0cUxuiBpBs0+kAwcOQFVVvPHGG+jcuTP27NmDefPmoaysDM8884zTY+fNm4fHH3/c/jwsLKy5wyU/kZ1XjO9/3gdnJU3e/+w3zJh8HvQ6DkETQgGMT0IW3IS6i1fqAARBRD0GmH+FNG9F/QNfq9saxjZ3uE0mRDAQMk7rMIjICzRLcKZMmYIpU6bYn3fs2BFpaWl47bXXXCY4YWFhSE5Obu4QyQ9t3nbEZZv8wjIcOpqDHp1beSEi3ycMI4DY9yFLngEs2//cETzUVlMmqCekLgUofQ2QZai7grcAIG3TxX2AlCoAC4Bg3ookasF86lfYoqIixMa6ru/w0UcfIT4+Hr1798bChQtRXu5iFkiAsVpVbNlxDF9+vxPrNqWhvML5bb2WxGSugnCjUJrZ7KLWSAsjggdBifsYIuFHiLhPIRJ+ghK7BCKop22/EgMR8w4gwlH7dpYCQAcR/RxEUA8tQreTloNQC++FzOlje+SNgix91TaOxRPnl1ZIyb9rRP7CZ26ap6en46WXXnLZe3P11VejXbt2aN26NXbt2oX7778faWlp+Pzzzx0eYzKZYDKZ7M+Li4s9Fre3bd5+BE+9/j3yzvxZRj/EEIQbrhiOqy8ZXOc3VlWV+HlrOr76ficyTxXAGBmCSRf0xNSxvRERbvB2+M2uc/sEqC5K7usUgbYpLJRWH6FLqR6TU8++4H5Awo9AxReQpl8AVAFB/SHCrrAV2dOQNG+BzP8LbAOhq5NXNQ+y9EWgcjUQu7TRs4+k6TfIsjerZzRJSF0HW29V6JUcG0Pkw4T08AIsDzzwAP797387bbN//350797d/vzkyZMYPXo0xowZg7feeqtB11u3bh3Gjx+P9PR0dOrUqd42jz76KB577LE624uKimA0Ght0PS1t352Bvz2+3LbicD1/ajdfPQrXzxxmf15VZcX/PfM1ft6aDkURUKsH2goBJMZF4pUnrkJyYpS3wvcKVZWYfcfbyMorsr/es+kUgTHDu+KxBdM1iK7xpHkLZNkSwPwbAAEEj4AInwMRrH3tFq1JaYbMuwBQC1H39hkA6ICwa6AYH274ucuXQxY/jNpT5Kt/iTBMhIh+gUkOkRcVFxcjKirKre9vjyc4eXl5OHPmjNM2HTt2RHCwrRLnqVOnMGbMGAwbNgxLliyBojTsrllZWRkiIiKwevVqTJ48ud429fXgpKam+l2Cc9N9H+DgkVyHPRRBeh2+euc2RIbbVlp+++ONWPLp5nqTIZ0i0Kl9At5+6rpGjVOQUmL9rwfxycptOJCeDUVRMLR/B8y+eBD6dK+/B8Bb9qdn4c5HPoHFUmWfPQUAiiKQFG/EG4uvRmx0uIYRNowsexuy5N/4c70l2P9fRP4fRPh12gXnA2TlasjCvzpvJEIhEn+FEKHun9eaDZk3BvUnTdWnNT4BEXal2+ckoqZpSILj8VtUCQkJSEhIcKvtyZMnMXbsWAwcOBDvvvtug5MbANixYwcAoFUrxwNGDQYDDAb/vh1zIqsABw7nOG1jqbJiw6+HcNH4PjBbqrB81XaHs4msqsTBI7nYezALvbu1blAsUko89/ZafP7tDihCVCdcKjb+fhg//XYID9w+GReN79Ogc3pSj86t8M7T1+HDL37Dml8OwGKxIiLcgIsn9sXVlwxGtNF/Zt1J887q5AaoXYfG9v+y5B9A8ED7WJmWSFb+4EajClstH33n+ndbT9p6yCq+AmQpoEsFdK3heNYYAAjI8g+Y4BD5KM3G4Jw8eRJjxoxBu3bt8MwzzyAvL8++r2aG1MmTJzF+/Hi8//77GDJkCA4fPoylS5di6tSpiIuLw65du3D33XfjggsuQN++fbV6KV5RUOR6ILVOEfZ2x0/ko7TM5LS9ogj8sTezwQnOT78dwuff7gCAWr1JVqvtN92nXvseA3qnonVSdIPO60ltU2Lx4B0X4v7bJsNkrkJoSJBfzqiR5R+ids/NuRTI8qUQUf/wYlS+Q1r2AZUr3Wxd//pN0rIPMv/a6pW8q99n61HA6mpGngSqDtkKSfrhzxZRoNMswVmzZg3S09ORnp6ONm3a1NpXc9fMYrEgLS3NPksqODgYP/zwA55//nmUlZUhNTUVM2fOxMMPN/zeur9JiHNdaM2qSiTFu1OQrWmWr9pea0xPHQJY8f0u3HbdBR6/tpQSpeUmKEIgPMx1r5xOpyAs1I8XJjT/DpcVhM2/eysanyNLX3Ovoa69rVfm3OOlFbLg9ur1uM6+FeXunXv/TJyJWgLNEpy5c+di7ty5Ttu0b98eZw8RSk1NxYYNPrqgXzNLTjCif69U7Nx/wmFiERoShPOH2Lrg27WJRUS4wWkvjqpKnNezjcP9jhxIz3Gc3FSfd9+hU8jOK0Z5hRlJ8ZFuJSPOqKrEV2t24uOvt+FEVgEA24ypa2YMwYRR3QP3S8adAazCZyZDepWUZsD0A5yNkakhIm6v/2fE/AugnmpkBDrAwKKBRL7Kp+rgkHN3zB0DvV4HxcGX+Z1zxyI0xNZbERykx+UX9oej732dItC1QyK6dkxERaUZDRlrrte7/rE5cDgHl9/6Jq6/ewmm3fAKnnz5W5wuKHV5XH2klFj8ymo88+YP9uQGAA4fP43Hnv8Gby79pVHn9QuGMai7qvTZFMAw2kvB+BhZDue9W9X0PSFCZ9S/z7Ibzt9fR2qKG97YiGOJyBuY4PiRbh2T8OoTV6Fbp6Ra2xPjIvHI36bh4om1xyHNnTUcIwbaps4ryp+ZjhBAZHgIDAY9xs9+AROveRFXzn8Ly7/Zjiqr69+GRwzoCJ3ivMekotJi//+qKhXfb9iHefd/2Kgk5+ct6fh2/d4622uSsg8+/w37DmU1+Lz+QIRdA9uXaX3vtwCghwid7d2gvEhaDtlmSZk2QMrK2jtFpO3hlIAImeRkf1ADotHB9pFZ/b5HP2erDUREPsnj08T9QUOmmfmqo5mnkZVbBGNEKHp2aVUrgTmb1ari5y3pWLFmJ05kFSAyIgRtkmOwblNa7do41f8aMbAjnrxvhtN1mtKO5GDe/R86vU1VH50icOHY3njg9vqn8zvyt8eWY/ueDIfX0ykCk0f3xIN3XNig8/oLWfkDZOFdsPVW1CSgCoAgiJiXIXy0B0eqpYDpR0AtAHStAMNo21pQ7hxblQ5Z9CBg2fHnRhEBEX4zZMhFQMXHgGkjoGYDaj4cj5lRIBLWOyxEKC37IM/McB6MkgxE3AeYfwJghtD3AsJmQigsFknkbZrWwfEHgZDgnEtVJbbsPIYD6dnQ6201abq0T6zTLud0MWbd+l+n1X7/fstEzJjk/DfTtz7eiCXLNzc4ziC9Dt8smd+ggb/T//Kqy1lkndsnYMmzvrEWUnOQ1mzI8mX2Qn/CMBwIvQJCV/fPWGtSSqD8HciSFwFUoOZ2DkQ0hHERROg058dXZUCeudTJLaiaXhRnt6eqbyFF3gcRfpPT66lnrgMsjgdzs9YQke/QtA4Oed/BIzl46OmvkJVbBJ0iIAG8/uHPGNA7FY/fM71W3ZeVP+y2f9/URwjgs1XbXSY4EWEGCAGnq3bXx1JlxemCUrQNdf+33xCD6x/T0JCG3GrwP0KXDBF5l9ZhuKf8nbNq9wD2HzZZBFm0ABAG2+Bcyx+AetrWQxLU1z4IWJa+5GJ8jevbqNC1hYi4AyL0EpdNRcwLkPlzgaoDsCVPKuxT88PmAGHXur4eEfkcjsHxc9m5Rbhz0TLknLatr2VVpf1Wzo59J7Dg8U9rjatJP5bn9NaSlMDRzDMoLK5wet0gNwYaO7J+8yFknMp3u/3Y4d0c3oIDbEnZ2OHdGh0PeY5Uy6p7burda/t38SLIvHGQ+bMhC++EzJ8FeXoSpOln2zibym/g1uBhR5REIPZjt5IbABBKLETc5xDRLwGGSUBwde9Y3BdQjA+5nKEnZRWkNQvSerrxMXuZlFbIipVQz1wLNXcE1LwpkKWvQaru/70k8nVMcPzcspXbUFlpqTdpUVWJg0dzsfH3w/ZtwcF6p8lCjRk3vYZn31wDk8lS7/5hAzo2uPemxn//9zOuvvMd3PvkZygucZ5IAcBlU85DcJC+3tljiiIQFRmKC8f2alww5FmmH2G7LeWIBNS8ulOzrRmQBfMgK78HUNW0GNTTQPmHkNY8yLIPbSuKV3xdd5DyWYTQQ4RMhhLzIpTY96BEPQYR5PxnSkoT1JIXIHNHQuaNhswbAfX0xZCV3zYt/mYmpRmy4DZbb5rld9v7ZT0CWfoC5OlpkFWuChwS+QcmOH7u+5/211pv6VyKIrD2l/3256MGd3JrcHCVVcWK73fhvsVf1DuzKiU5GhcM7eJWsnSumsTotx3HcPfjn6Kqyvlv68mJUXjukcvtq5/rdAp01YOg42LC8eJjV9rX3yKNqQWof8aXK9L2KHnOE0EAZe9A5p0PWfIEZOnLkEX32BKRCnerHjsnpdm2ennZa4D8s3QBqtIgC++CLH3TI9dpDrL0dcBcU0/s7L/bKqAW2pKfljc0kwIQExw/V1bufDkGVZUoLv3zN9cxw7qidVKUy2negG0Zhm27M7Bxa3q9+x++80L07dH4hTVVVSLtSA5+dnD+s/XpnoIv3rwFD90xBVPH9sZF4/vgsQUXYfmr89CxbXyjYyAPc7l+kzMSUE96KJAK2L68Jew9QrLUluiY1jf99OVLqwcmn5v8V9+GK30Wsiqj6dfxMCnNQPkHcPxnZLUtU2Fu+AQCIl/DBMfPtUqMcrpfpwi0aRVjfx4UpMPzi2a5PK6Gogh8vXZ3vfvCQoPx4qNX4qE7p7gfcD3nX71+n1ttDYYgXDi2N+6/bRLuvWUixo/sDr2+MUXaqNkYLgBEjOt2mqhOPkqebXIPhW2NMGcUyIplTbpGs6g6DsgiF410gGWbV8Ihak5McPxYpcmC+NgIp22sqsT0CbULALZOisaHL/4FT953CYKDnCcIqiqRk1fscH9RSTk++mKr+0HXc353FhIl/yBEEETUo6i/OKEvLKchgao0wHq88WeQErBmwHlPlRXwxbEsbi9p4gt/VkRNwwTHT5nMVfjbY8uxc/8Jp+1mTRuAbh2T6mzX6xSMHtoFbVs7n66tKALxMY6TqCdeWIVMJzOiXE3f1ikCKcnRTtuQfxEhF0JEv25b4PJs+r5uVB52Q8T9tqnl9V/dvXOornoxHLPNqnI15ksHiDAXbTSgaw8orm7pWoHgYd6IhqhZMcHxUyvX7sbetFNOBwxfOX0Q/nrDWKfnmTqut9Nf6lRVOpyhdPzEGWzZedzpIGez2fkAYqsqMX18H6dtyP+IkLEQ8auBqOcAw2TAMB4wDAfCb3VxpKuPJD1E2KUQCT8AoVejTikvXUd3oqseK9QEIVPgfA0rK0RIwyp2e4MQeoiwuU5a6AB9DyBooLdCImo2LPTnp778bofTgn06RaC8wuSyhsdF4/vg89U7kJVTWCdRURSBLh0SHdaY2bHPee8RAFhVFW1axeBUTmGdZEwAGDeyG/r3TnV5nqbKPFWAP/ZmQkqJPt1TODC5mUlphiy6v7qmTXUiYFoPW+/A+YBlT+3ZR0oihPH/IE0/ARWfof5ifgoQerl9iQQR9Shk5F226s7SAgT1AnStIXNHArIU9f/l0NmWjNAlNOn1ifCbICtX4c+BzOdcQ9/Jd1caD78RqDoIVH4Fe0HDmg8TXTJEzKsuPzeI/AETHD91KqfIaR0aqyqRcarAcYNqYaHBePUfV+EfL67Clp1/jksQAjh/SGc8cPtkBDkYp+PuMM075ozGpm1H8O2Pe2GpnhIeEWbArGkDMGfW8Gb9MC0sLsc/XvwWv/5xtNb2/r1TseiuaS7HMFHjyOJ/ApWrqp+d04tn/hmIWAAR1BOwngZ0SUDwMAhhSz6k9RRg3og/v3yr/xs8AsL4YK1TCSWmujflLMbHbTVe6vwGoANEOETkA01+fSKoKxDzhm2NMFmMPz9KqwB9D4iYNyCEb368CqEDop4GQmdAln8MWI8AIgoidDoQcgmEEq51iEQewbWo/HQtqktufA1nCssc7lcUgZGDOmHx/TPcPmfGqXzsOXAKQgD9e6Ui2cVMq6OZp3Hd35Y4bRMcpMOKt29DZHgISsoqsXnbEZwuKEXndgkY0Ltts86CMpmrcPMDH+Jo5pk6vUc6RSA5MQrvPH0dwsMMzRZDSyTVfMjcUXBasE9EQSRurHfxTSlVwPwzZPnntsU0lVYQYZcBwaMghHt31aVpPWTJf6qXXwAAARjGQUTeD6Fv3+DX5PA6shKoXAVp2QeIYAjDWCBoEHtAiJoJ16JqASZd0APLVm5zOAZHVSUmjOpe777cMyVY9eMeZJ4qQESYAeNGdEPfHilo2zrW5aDjs3VIjceA3qnYvifTYZuObeMRGR6Co5mn8cybP2DnWbe1YqLCcOOVI3DJpH7N8oWw9pcDOHy8/vL5VlXiVE4hvlm3B1dcxPEGHmX6CS6rEcsi20rhwUPq7BJCsd1GasIq6cIwBsIwBrLqOKAWAroUCJ3nb0sKEQKEXgYRepnHz01ETcMEx09dPm0Avl67G+UV5np7J9qnxmH00C51jlv29e945b0N9skmQgh89u0f6N8rFYvvn2GvFuyu4QM6Ok1wDhzOwcbfD+PxF75BRWXtZR8KisrxzJs/oKTMhOsuG9qg67rj2/V7IYRwWPNESmAVExzPc7IkQqPaNYHQtwPQrtmvQ0S+h7Oo/FRSvBEvP34VWiXYbiPpdMK+bEKf7il4ftGsOrd/1m48gJeWrIcqbQtyqqqEtXoZhp37T+DR5xpexv77n/Y5nYWlUwRefPdHh+tlAcB///dLs9TCyS8sc1nQraCYNXg8Tu/OwqcC0Hdu9lCIqOViD44f69w+Af97+Ub8vus49h3Kgk6nYOh57dG1nro3Ukq8+8lmCIF6ByerqsSvfxzF4eN56NTO/Rkmx08WuBzsfDK70Ok5VFVi/sP/wzMPz0TrpGi3r+1KcmIUMrMKHCZWQggkJ/jnGCxvkmq+bTCwEuvebZ6g8wBdF9vg1XpXBdfZxtM0dao2EZET7MHxc4oiMOS89pg7aziuu2xovckNAGTnFePYiTNOkxFFEfh5i+t1oc4WYnCeI7s7tCYzqwA3P/ARck47rprcUBdP6OO0TpCUEhdP7Otwf0snLYegFtwCmTsc8sxFttWy8+dCWupfuqOGEAIi+mlAhKBurRidLVGKeqzZ4iYiApjgtBgms4tBn7D1pCz7+nfc/fhyrNuUVu8q4ucaN7Kb04U73Z2jJyVQUlqJ9z/7zb0D3DBqcGcM7teu3gHMiiLQu2trTDy/h8euF0ikZR9k/uXVA4bP+kM0/wp55ipI8+9OjxdBPSHivgRCLgVQPVNKhAFh10LEfcHeGyJqdpwm7qfTxBuq0mTBRTe8gkqT60RHUQRUVWJA71Q8/eBlMBgcL7eQeaoAc+95DxaLFaqsfyp2SlIUft+d4bQ3pUZwsB7fvX+nw9o7DWUyV+H1D3/CijW7YK5O8vR6BdPG9sb8OWMQFlp3mjIB6plZgGU3HBbc06VCxH/v1uw3KasAWQ6IcAACMG+GrPgSUM8AulYQoZcDQedxajURudSQ728mOC0kwQGA595aiy++2+FWogEAihC4dMp5uPum8U7b7dibiQefWoHi0krodQokAKtVRYfUODz90EwUlVTg1oVL7UX+XPnq7dsQG+3ZYmNl5SbsT8+GlEC3jokwRoZ69PyBRFoOQZ6Z5rKdiF0KETzI/fPKCsiC2wDzJtQp4hdyMUTUv3y2OB4R+QYmOC601ASnpKwStz34P2Scync7yQkO0uOrt29zOX3cZK7C+s0HsT/dNth5WP+OGNinrX1m164DJ3Hfk5+jtNzk8po/LL0LIU56jah5yco1kIXzXbYTxsUQYTPdPq9aeF/18gD19QoJIPxWKJF3ux8oEbU4Dfn+5hicFiQyPASv//NqXDNjCIwRrlZDtjFbqrA/PdtlO0OwHpNH98TfbhyPO+eOxeB+7ezJDQD07Z6CV5+c7dY112484LoRNR93V/xW3F/mQlqznSQ3ACCB8vcgVU7bJyLPYILTwkSEG3DLNedj5bvzcZeLlcb/5JlOvo5t49GrayunbYQAln29zSPXo0YKHggoLipai1AgeJT75zRvguPkppost1U3JiLyAN7w9gCrVcWG3w5hxfc7kZlVAGNECCaP7omLxvdBZLh7PSXepigCg89r77JdkF6Hbp2SPXbdVolR2Hcwy2HKJCVwJOM0TOYqGIL546kFIYKAiLsgixc5bhN+a8MWZZQW120AAO62IyJyjt8gTWSxWPHg0yuwedsR++yj3NMlOHx8Az5ZuQ0vP34VUpKjtQ6zXu3bxGFgn7bYsTcT1nrG5CiKwNSxvdy+neUOvV6Booh6r1fr2pxRo63QqyBkGWTJc7CtK1UzKFgBwm8Gwm9t2PmC+rjRSAH0nLZPRJ7BW1RN9O7yzfh1+1EAqDVwV0ogv6AMDz29wuVyAd52MrsQe9JOITuvGI/cNQ2tkqJxdjpRM123Z5dWuGPuGI9ee3Df9k6TG0UR6NO9tcemiVPjCCEgwm+CSPwFwvgIEH4jROSDEAk/Q4m8u8FTukVQT0DfF3UL/9XQAYZJELrEJsdORASwB6dJzJYqfP7tHw4TGKsqkX4sD7vTTqFv9xQvR1fXH3sz8er7G2oNGu7fKxULb5+M9ON5WLVuD/KLytAqIQoXT+yL8SO7ezzRGDO8K159fwMKisvrncmlqhLXzKi7wjRpQygxQNg18ER/moh+FjL/Ktvq3rWWcFAAXRsIo+NbYkREDcUEpwmOn8h3Oe1ZUQR27M3UPMH57Y+juPefn9epLLxz/wnc/cSneOWJKzHzwv7NHochWI//PHI57nr0ExSVVNjj0VXftrrlmvMxajAXYQxEQt8OiFsBWf4eUPG5LdFREiDCrrJVOFZaTskGImp+THC8QOsKrVarin+/9j2klHUSHFWVqLJY8eybP+Ctp67zSjyd2tkWCV29fh9++u0gKk1V6NYxCZdM7ocu7XmLIpAJXSJE5L1A5L3Ndg0pVcC0AbLiM8B6sjqJuhQwTLANoCaiFoEJThO0bxOHyIgQlJRWOmyjqhL9e6d6Maq6tu/JRO6ZEof7VSlx4HAOjmScRse2bqwW7QGR4SGYNW0AZk0b4JXrUcsgpQmyYD5g/glnD4yW5vW2Vc5j3oFoQP0eIvJfHGTcBEFBOlw+tb/DFbN1ikC3jkno1cV57ZfmlpVb5Fa7UznutSPyVbLkacD8S/WzmnE+1fV3LLsgix7SIiwi0gATnCaaM3MYzh9iGzOinLOqdkJ8JJ687xLNb1G5O83bGOmbNXuI3CHVEqD8YzguKKgCptWQ1ixvhkVEGuEtqibS63X4x98vwaZth/Hl9ztx4lQBjJEhmHxBT1w4trdPrFY9tH97hIYEoaLScRG1hLgIzXuaiJrE8gcAs4tGEjD/CoRe6o2IiEhDTHA8QFEERg3u7LOzf0JDgnHDrOF49YOfHLa55erzodOxQ4/8mHRvtXpIF0tG+KGi08X4aflmFOYWI75NLC64fBjCoxpQaZooAGn6jda+fXtbQbGzHv/617+cHlNZWYn58+cjLi4OERERmDlzJnJycrwUsf+afclg3Hz1KATpbXVtapKZEEMQ7r1lIqaM6aVleERNF9QHjgsJniX4vOaOxGuklPjg8eW4KuVmvHTH2/jon5/hPze/jitazcOXL32rdXhEmhJSwzK77du3x4033oh58+bZt0VGRiI83PFvHrfddhu++eYbLFmyBFFRUbjjjjugKAo2btzo9nUbstx6oCkurcRPvx5CQXE5EmIjMHpYF4SGaH8bjcgT1MJ7gMpVqF1IsIYOCBoMJe59b4fVbD7+95d4e+FHDvff89ZtmPKXcV6MiKh5NeT7W/NbVJGRkUhOdm8xx6KiIrz99ttYunQpxo2z/aV999130aNHD/z6668YNmxYc4YaEIwRIbhogjvrAhH5H2F8BLLqIFB1sHpLze9vCqBrBRH9tFaheVxFaQU++senTtu8+3//w8TrR0On59In1PJoPujiX//6F+Li4tC/f388/fTTqKqqcth227ZtsFgsmDBhgn1b9+7d0bZtW2zevNkb4RKRDxNKFETsMojIhwF9F0AYAV0HiIh7IOK+hNAlaR2ix/z+3U5UljmvpJ6fVYh9mw86bUMUqDTtwfnrX/+KAQMGIDY2Fps2bcLChQuRlZWF//znP/W2z87ORnBwMKKjo2ttT0pKQnZ2dr3HAIDJZILJ9OcHQXFxsUfiJyLfI5QwIPw6iHDvVObWSklBmVvtSgvda0cUaDzeg/PAAw/UGTh87uPAgQMAgAULFmDMmDHo27cvbr31Vjz77LN46aWXaiUjnrB48WJERUXZH6mp2lYWJiJqqtad3OuNcrcdUaDxeA/OPffcg7lz5zpt07Fjx3q3Dx06FFVVVTh27Bi6detWZ39ycjLMZjMKCwtr9eLk5OQ4HcezcOFCLFiwwP68uLiYSQ75BCkl0v84iqwjOYiMjUCf83tAH6T50DjyA31H90Ryh0TkHM+DVOvOFVF0CroM6Ih2PflZRy2Txz9JExISkJCQ0Khjd+zYAUVRkJhY/4KLAwcORFBQENauXYuZM2cCANLS0pCRkYHhw4c7PK/BYIDBYGhUTETNZe+mNLxw25s4ujvDvi06MQo3/GM2pt40XsPIyB8oioIF/70VC6c8CSkkVOuf9X0UnYKgYD3uem2ekzMQBTbNBhlv3rwZzz//PHbu3IkjR47go48+wt13341rr70WMTExAICTJ0+ie/fu2LJlCwAgKioKN954IxYsWIAff/wR27Ztww033IDhw4dzBhX5lQNbDuHv4x7Fsb2ZtbYX5hbhuZtfx5cvs4YJudZ/XB88u/4x9BpxVo+3AAaM74MXNj2JLgPq7y0nagk06ws3GAz4+OOP8eijj8JkMqFDhw64++67a91KslgsSEtLQ3l5uX3bc889B0VRMHPmTJhMJkyePBmvvvqqFi+BqNHevO8DqFa13lsLAPDWAx9h0pwxCIsM9XJk5G96jeiG/2x4HLmZp1GYW4S41rGIaxWjdVhEmtO00J9WWnKhP9JezvE8XNvhdueNBHDfu3dg4vWjvRMUEZEfaMj3t+Z1cIhamjOn8l220ekUnD7puh0REdWPCQ6Rl8UkR7tsY7WqbrUjIqL6McEh8rJWHZLQc3hXKIpw2CbYEITzLxvixaiIiAILExwiDcx76joIRYFwkOTMffwqhEc5XnSWiIicY4JDpIHeI7vjX989jFYdatd8Co8Kw+3P34DL75muUWRERIGBs6g4i4o0JKXE3o0HkHUkF5GxERgwoQ+CQ4K1DouIyCc15PubNeGJNCSEQO9RPdB7VA+tQyEiCihMcKhZSSlhMVkQZAiCEI4H1RKdKzcjD/nZhYhNjkZi28Yt/0JELRcTHGoWeSfO4JOnV+C7JT+ioqQS4VFhmPKXcbji3osRm8wqq+TY/t8O4b/3fYDdP++3b+tzQQ/c/NR16D6ki4aREZE/4RgcjsHxuBMHT+GukQ+jtKgMalXtBQCjE4x4YdOTSG5f/4Kq1LLt+mkf7p/4OFSrCvWsZSwUnQJFp+DptYvQe2R3DSMkIi2xkjFp6qm5r6C0sHZyAwCqVUXR6WI8d/PrGkVGvkxKiedueQPWc5IbwPazo1ZZ8fwtb6AF/k5GRI3ABIc86uju49j/60GoVrXe/dYqFdt/2I2T6Vlejox83f5fD+JE2imHC5CqqsTxfSdwcNsRL0dGRP6IY3DIow7vPO5WuyO7MpDSuVUzR0P+JOtIrlvtso/koHP/9vhp+a/4+rXvkJl2CuFRYRh/9fm46NaJiEmKbt5AicgvMMEhjwoyBLnVLjjEvXbUckTEuFe5OTQyBI9e+jR+XbkNik6BalVRmFuED//xKb58+Vs8u/4xtO+V2szREpGv4y0q8qj+43tDH+w8bw4JN6DvBaz7QrX1H98HEdHOkxxjfCT2/3oIv63aDgC1boWqVhWlhWVYNOPfUNX6b5ESUcvBBIc8yhgbiem3TXJY80YI4NK/TkVoRKiXIyNfF2wIwpzHr3Ta5vpFs/D1a985HqdjVXHqcA5+/25nc4RIRH6ECQ553M1PXYfRVwwHAOj0OghFQKfXAQAmzR3r8kuMWq5L5k/BzU9dh6CQIEDYfn4gbLc0b3nmegyc2A9Fp0ucnkOn12HvxgNeipiIfBXH4JDH6YP0eOh/d+Pyey7GD+9vwJnsAsS3jsWkuWPQ+bwOWodHPkwIgVl/vxhT543HT5/+ivysQsS1jsH5M4ciPCrc7dl3jlZpJ6KWgwkONZtugzqh26BOWodBfig8KhwX3ji+zvbkDomIT4nF6ZP5Do+1VlnRf1yf5gyPiPwAb1ERkd/Q6XS4fMF0h/sVvYKOfduh7+ieXoyKiHwRExwi8iuX3jUVU/4yFgCg09s+woQAIICElDg89uV9XNiViLgWFdeiIvI/Ukrs+HEPvnljDTIOnEREdDjGzh6FCdeezxl6RAGsId/fHINDRH5HCIH+4/pwrA0ROcRbVERERBRwmOAQERFRwGGCQ0RERAGHY3Ao4OzNzcG6Y0dgtlrRIz4REzp2QrBOp3VYRETkRUxwKGAUVVbijm+/xsbMDOiEgBACVaqKuNAwvHzhRRjahitMExG1FLxFRQFBlRJ/+epz/HoiEwBglRJV1StKF1RWYO6Kz3DwzGktQyQiIi9igkMBYWPGcfyRnQVrPWWd1Opk581tWzWIjIiItMAEhwLCN4fSoHNSvdYqJVYeSkMLrGtJRNQiMcGhgFBiNkN1kbyYrVZYqm9bERFRYGOCQwGhfXQ0FBfrDyWGh3M2FRFRC8EEhwLCFT37OO3BUYTAdX3P8+g1TVVV2J+Xi7Qzp2GxWj16biIiahpOE6eA0C46GncPG4n//LoRAsDZqY4iBLrHx2NuvwEeuZapqgov/LYZH+3egRKzGQAQFxqGG/sPxLwBg6BT+HsDEZHWmOBQwLhjyDC0jozEK1t/w9HCAgBAWFAQruzVB38bOgLhwcFNvobFasVNX3+BzScya/UYnakox1Obfsah/DN4ZuIUCBe3y4iIqHkxwaGAclmPXri0e09kFhfBVGVFG6MRoUFBHjv/VwcPYGNmhsP9XxzYh5k9emFEaluPXTMQqVLiq7QDWLJzO/bn5UKvKBjfoRNuGjAIfZOStQ6PiAIAExwKOEIItI2KbpZzf7R7JxQhHI730QmB/+3Z5fcJTpnZjK8OHsC2UychhMDI1La4sHNXGPRN/8hQpcS9a1bjiwP77O+lRVXxbfpBrEo/iOcnT8VFXbt74FUQUUvGBIeoAY4XFjgdzGyVEkcL8r0YUdOl55/Bzpxs6ISCEampOFpQgJtXfokSs9leW+iz/Xux+JefsOSSy9AjIbFJ1/viwD58cWAfANR6L61SQgC45/tvMTQlFQnh4U26DhG1bJqNhly/fj1E9XpB5z62bnVccXbMmDF12t96661ejJxaMqMhxOl+ASA6xHkbX3GqpBizP1uGSR8uwb1rVmPB96sw/O03cO0Xy1FmsQCwJR011aHPVJTj2i+Wo7CyoknXXbJjOxTUP0ZJVl/zk317mnQNIiLNEpwRI0YgKyur1uOmm25Chw4dMGjQIKfHzps3r9ZxTz31lJeippbuoi7dHHw120gAF3fr4a1wGq2gogKzln+M30+drLW9JsGor5dKlRKFlZX4dN/eRl9XlRL78nKhwnEvmJQSu3KyGn0NIiJAw1tUwcHBSE7+czChxWLBihUrcOedd7qcgRIWFlbrWCJvqLBYsP74UYdfzUr12J+Lu/n++JEPdu1ATlmpy+rP55IAVqcfwk0DnP8S4ogAoFcUpxWlhRAIUliQkYiaxmcKdnz11Vc4c+YMbrjhBpdtP/roI8THx6N3795YuHAhysvLnbY3mUwoLi6u9SBqqNe3bcH+03mOG0iJt6bPQIjec7O2msvyfXsanNzUqKiyNPq6QgiMbtfB6bphqpQY26FjrW2nSoqxMfM4dmRnwcrlNojIDT4zyPjtt9/G5MmT0aZNG6ftrr76arRr1w6tW7fGrl27cP/99yMtLQ2ff/65w2MWL16Mxx57zNMhUwtSpar4cNcOp0mBCuC3kyfQMSbWe4E1Un6F818KHNEJgd6JTRtkfNOAQVh79LDD88eFhmFal64AgIyiQjy6fh02nNVzlhQegbuGDsdVvfs2KQ4iCmweT3AeeOAB/Pvf/3baZv/+/eje/c9u/BMnTuC7777DJ5984vL8N998s/3/+/Tpg1atWmH8+PE4fPgwOnXqVO8xCxcuxIIFC+zPi4uLkZqa6vJaRCdLivHL8WM4XVGBgspKp231ioL9ebleiqxpEsMjcLyosMHHWaXENX3Oa9K1h6S0weLxk/DQujWQsPXY1FSfjg0Nw/uXXo4QfRBOFhfjsmVLUWSqrHVbMKesFA+uW4PCykrcOmhIg65tqqrClwf2Ydm+PcgqKUFCeDhm9eyNmT16IcyD9ZKISHseT3DuuecezJ0712mbjh1rdz+/++67iIuLw8UXX9zg6w0dOhQAkJ6e7jDBMRgMMBgMDT43tVzlFgseXPs9vj54wMlw2LpCPFAnxhuu7NUHz2z6xelg37OXvKipV/PXIcM9Uojvil59MLJtO3y8Zxd25+bAoNNhXPuOmN6thz3ReOG3TSgyVdpncZ3r2c2/YGbPXkgIc286ebHJhGu/+AR7cnPtry23rBR7c3Pw4a4d+N/MKxAbGtbk10ZEvsHjn8YJCQlISEhwu72UEu+++y6uv/56BDXiN6gdO3YAAFq1atXgY4nqo0qJW1Z+ic0nMhuU3FSpKiZ07NxscXnSNX364dN9e3C8qLDeBKJnfAKsUiLtzGkAQJ/EJNw8cDAu7NzVYzGkRBpxz/BR9e4rt1iwIm2/w+QGsCUoKw7sd3vA86L1P2B/Xp792LP/e6QgH/f/8D3+O32Ge8ETkc/T/NfNdevW4ejRo7jpppvq7Dt58iTGjx+P999/H0OGDMHhw4exdOlSTJ06FXFxcdi1axfuvvtuXHDBBejbl/fjyTM2ZWY4XY6hPgqA9jExWHf0MNYdPYxBrVMwtn1Hn114M9JgwLLLr8LDP/6ANUfS7WOLDDodru7TD/ePvADBOh0qLBYoQnikgnFD5FeUO51pBdh6lU6WuDdhIK+sDF8fTHM4hsoqJdYdPYzMoiKkRkU1OF4i8j2aJzhvv/02RowYUWtMTg2LxYK0tDT7LKng4GD88MMPeP7551FWVobU1FTMnDkTDz/8sLfDpgC2Im0/dEI47T0AbF+wihCoUlXodTocKSjAO0XbAQBvbv8dKZFG/Hf6DHSPd79H05viwsLw2rSLkV1agr25udApCga0ag3jWbdz3VnHq9xiwbK9u/G/PTuRVVKCmNBQXN6jN67t26/Rt3yMhpA6q8KfS0qJmJBQt863MyfL5awxCWBb1kkmOEQBQvMEZ+nSpQ73tW/fHvKsD6XU1FRs2LDBG2FRC5ZfUe4yuQFsRf+CdDqsPXIYJWYTANttqhrZpSW4+vNP8N21c90eJ6KF5IhIJEdENurYYlMlrvrsE6Sd/vPWT5nFghe3bMb/9uzC8llXoY2xbsKQW1aKCksVkiMi6u0dMhoMGNehI9YfO+rwz8Iqpds1h4TT8oy1WxJRYNA8wSHyNa0jjdAJBVbp+BZJUngEnp8yDe/8sQ2f799bb0+DVUoUm0z4eM8u3DlkePMFDNvimJ/t34vl+/bgTEU5UiKNuLJXH0zv2r1Zby89vuFHHDpzus7rV6XE6fIy3LX6G3x2xdX27WsOp+OlLZuxp3q2WXhQEK7s1Rd/HTq8Vs8RANw1dAR+zjgOqap1el8EbAOV20fHuBVn/1atoFeUWgnouQSAwSkpbp2PiHyfbw4QINLQrJ69nSY3ihC4uo9tzNfKQ2lOb6OoUuKrtAMejrC2vLIyXPzxh3hswzrsy8tFdmkp/sjOwn0/fIerP/8EZWZzs1w3v6IcXx084LSH5Y/sLPvU+Q927cAt36zAvrOKJZZZLHhv53Zc+enHKDGZah3fOzEJ78+4HK2qe5dq+lb0ioI5/frjibET3I41NjQMl3bvCcVBgUGdEJjSuQtSIo1un5OIfBt7cIjO0TcpGVf07F3vgo86IZAaFY05/foDQJ0v5fqUNlOCUWPB96uQUVRYK9Gq6fHYmZON+3/4Di9Pne7x6+7Ny3XaI1Jje3YW4sPC8fiGdbViq2GVEofyz+DN7VvrzKoaktIGG+behE2ZGUjPP4Pw4GCMa98RcWENH9vzyAVjcbSgAL9nnbRPe6/5b4+EBCweP6nB5yQi38UEh6geT46biBSjEW9t32YfX6MIgQs7d8Wi0ePsq4p3jYvDscICh70YOiHQObb5KhsfKch3OuNLlRKr0g9i2tL38dD5YzAita3Hrq0X7nUA64XAp/v3uOzpWrp7J+4eNrJOL4siBEa1bYdRbds1IVogPDgYH102C6sPH8Ine3fjVEkJkiIiMKtHb0zt0tXrM8WIqHnxbzRRPXSKgjuHDMfNAwZjZ042zFYrusXH1xksPLt3P3ybfsjheaxS4tq+5zVbnFvPWQ3ckQOn83D9l5/iremXYkz7Dh65dr/kVgjVBzldm0oAGNm2HV74bbPL4bsFlZUoMZkQFRLikfjqE6TTYXrX7pje1fcXRCWipuEYHCInDHo9hqS0wai27eqdCTUytS2u7NXH4fHTunTDxGYs/ufunB8J27TqhWu/99hilWFBQbi+33kOY9AJgcmduqCNMQoRwcEQThbYBGyvxV8qQROR72OCQ9QEQgg8OW4iHh09rtYA1aTwCCwcdQGenzzV4cBWTxiS4nxx2rNJ2NZxamgRQ2cWDBuJSZ26AIB9hfCa19s3KRn/mjAZAHBh565Ox+vohMD4Dp14m4iIPIafJkRNpAiB6/v1x7V9z0NWSQkkJFpFRHqlinH76BiMbd8BPx0/5lbtHgDILC7y2PWDdDq8OnU6Np3IwPK9e5BZXIT4sHBc1qMnxnfoBH31ezC4dQqGtG6DbVkn68RZk/7dPniox+IiImKCQ+QhihBIMXp/mvHTE6fgms+X29eNciXa4NkxLkIIjExth5GpjgcBCyHw5vRLMH/V19iYmQGdEBDVVaDDg4Px3KSpOC+Z68kRkecIKd38tS+AFBcXIyoqCkVFRTBq8IVE5GmmqiqsSNuPR9avhdlqddguVB+ELTfdivDgYC9GV9ue3BysOZKOCosF3eITMLVzV7eWhCAiasj3N3twiAKAQa/HFb36IESvx9++W+Ww3V+HDtM0uQFsBfx6JyZpGgMRBT4OMiYKIBd364HF4ychvLpHpGbgb7BOh3uGj8LNAwZrGR4RkdewB4cowFzZqw8u7tod7+7Yjv2ncxEbGoZbBg5Gay5DQEQtCBMcogCTnn8G965ZjZ052fZty/ftwQ3nDcCCYSO9MrurPlJKfHMoDUt2/IHdudnQKzqM69ABN/UfhH4cYExEHsZBxhxkTAHkRHERpv/vQ5SaTfVOx76iVx9N1lySUuKhdWvw8d7d9vWfANstNAngmYkXYkb3Hl6Pi4j8S0O+vzkGhyiAvLL1t3qTG8BW6G/Z3t04dOYMvP17zcpDafh4724AtRfbtEoJVUrcu+ZbZJWUeDUmIgpsvEVFFCCqVBVfHtjntOCfAHDdl8txprwcihC4oF17zBswuEEVkRtjyY7ttXpuziUBfLx3F+4eNrJZ4yCiloM9OEQBosxshslJDRzAlkjklpXBKiUsqor1x45i9mfLsGzPrmaNbU9ujsPkBrD16uw6a8wQEVFTMcEhChDhwcEw6BrWKWuVEhLAQz/+gIyiwmaJC4B9yQZnDp05g3KL45XJiYgaggkOUYDQKwou69HTXvumIQSApc3YizO6XXuXHzZZpSX4y4rPnS7KSUTkLiY4RAHk9sFDYTQYGpzkWJvxFtHO7Cz8nnUKrtIWCWDLqRP4/nB6s8RBRC0LExyiAJISacTyWbPRP7l1g44TAIIVncfjOVKQj6s//wT5FRVutVeEwPJ9uz0eBxG1PJxFRRRgOsbE4pNZVyE9/wwOnjkNg16PFWn78e2hg05nWI3r0NHjsby5bSvMVqvTAcZnU6VEVimnixNR0zHBIQpQnWPj0Dk2DgCQHB6BVYcOQsB2K+hsOiFgNBhwafeejbpOhcWCrw8ewJoj6Si3WNAjPhGze/dBx5hYrEg74DSpOpciBJLCIxoVBxHR2ZjgELUAvRKT8OKUi3D3d9/Yi+vVJDvRISF4b8bliDQYGnzeY4UFuObz5cgqLYGAgITElpMn8O6Obfj7iPNhslY16HyqlJjVs3eD4yAiOhcTHKIWYmqXrhjcOgWf7NuNndnZ0CkKRrdrj4u79UBY9erjDVGlqpj75WfILSsFAMjqvqGaHpunN/0MY3Awis1mt86nCIF+ScmY3KlLg2MhIjoXExyiFiQhPBzzBw9r1LGmqir8eOwoskpLEBsaCgDIKC5y2F4RAuHBBpRaLC7H4ChC4KKu3fCPsRMRpPP8YGcianmY4BCRS1+l7cei9etQZKq0L7mgEwIKBNQ6o3psagYMd4yOwfGiwnrH4kzo0AkXd+uOwa3bICmCY2+IyHOY4BCRU98dPoS/fbfK/rymN8bdwcNLZszEK1t/wxcH9sFcvZREckQEbh80FNf06QfRiMKERESuMMEhIoeklFj8y4Z6Z1+5IgC0MUYhJdKIxeMnYeGo0ThaWACDTocusXHQubF8AxFRYzHBISKH9uTlIqPI8TgbV/7Sf4C9h8ZoMKBfUrKnQiMicoq/QhGRQwVuViA++yaTUp3QTOrUBdf2Oc/zQRERuYE9OEQtSF55Gb4/nI5iUyXaRcVgfIeOMOgdfwykREa6dd5RbdthZ042TFVV6BIXjzn9+mNGtx68DUVEmmGCQ9QCWFUV//rlJyzZuR2qlFCEgFVKRIeEYPH4SQ5rz3SKjUPfpGTsyc2pd6q3ABAbGoa3pl/K6d1E5FP46xVRC/Dkz+vxzo5tsEpbOb6aGVBFlZWYv+prbMw87vDYx0aPg15R7LeeatQ8e2LsBCY3RORzmOAQBbjs0hK8v2tHvbOgarY9s+kXh8f3S26FZTOvrDNAuFNMLN66+FJM6czKw0Tke3iLiijAfZt+CM5K1qhSYmdONk4WFyPFaKy3Tb/kVvjsiqtxpCC/upJxGLrHxbOGDRH5LCY4RAGusLICOkWgSnVeyaawssJhglOjY0wsOsbEejI8IqJm0Wy3qJ588kmMGDECYWFhiI6OrrdNRkYGpk2bhrCwMCQmJuLee+9FVZXz1Yfz8/NxzTXXwGg0Ijo6GjfeeCNKS0ub4RUQBYZUYxSqVNVpG0UItHJzxhQRkT9otgTHbDZj1qxZuO222+rdb7VaMW3aNJjNZmzatAnvvfcelixZgkceecTpea+55hrs3bsXa9aswcqVK/HTTz/h5ptvbo6XQBQQLuzc1elq4TohMLFjJ8SGhnkxKiKi5iWkdHNBmUZasmQJ/va3v6GwsLDW9m+//RYXXXQRTp06haSkJADA66+/jvvvvx95eXkIDg6uc679+/ejZ8+e2Lp1KwYNGgQAWL16NaZOnYoTJ06gdevWbsVUXFyMqKgoFBUVweiiS54oEHy2fy/uXbO6zpILOiEQEWzAF1dejfbRMVqFR0TkloZ8f2s2i2rz5s3o06ePPbkBgMmTJ6O4uBh79+51eEx0dLQ9uQGACRMmQFEU/Pbbbw6vZTKZUFxcXOtB1JLM7NELr027GJ3OGj8jAIxu1wGfM7khogCk2SDj7OzsWskNAPvz7Oxsh8ckJibW2qbX6xEbG+vwGABYvHgxHnvssSZGTOTfJnfqgkkdO+NwQT6KTSa0MRqRGB6hdVhERM2iQT04DzzwAIQQTh8HDhxorlgbbeHChSgqKrI/MjMztQ6JSBNCCHSOjcOAVq2Z3BBRQGtQD84999yDuXPnOm3TsWNHt86VnJyMLVu21NqWk5Nj3+fomNzc3FrbqqqqkJ+f7/AYADAYDDAYDG7FRURERP6vQQlOQkICEhISPHLh4cOH48knn0Rubq79ttOaNWtgNBrRs2dPh8cUFhZi27ZtGDhwIABg3bp1UFUVQ4cO9UhcRERE5P+abZBxRkYGduzYgYyMDFitVuzYsQM7duyw16yZNGkSevbsieuuuw47d+7Ed999h4cffhjz58+397Zs2bIF3bt3x8mTJwEAPXr0wJQpUzBv3jxs2bIFGzduxB133IGrrrrK7RlUREREFPiabZDxI488gvfee8/+vH///gCAH3/8EWPGjIFOp8PKlStx2223Yfjw4QgPD8ecOXPw+OOP248pLy9HWloaLBaLfdtHH32EO+64A+PHj4eiKJg5cyZefPHF5noZRERE5IeavQ6OL2IdHAokUkrsysnG4YJ8hAUFY1Tbdoiop44UEZG/a8j3N9eiIvJje3JzcO+a1Ug7c9q+LVSvx7wBg/HXocOhcDFMImqhmOAQ+alDZ87gqk+XodJae/22iqoqvLhlM0rNZjx8wRhtgiMi0phmlYyJqGme/20TTNYqqA7uMr+7YxtOFBd5OSoiIt/ABIfID5Wazfj+8CFYnQyhE0JgRdp+L0ZFROQ7mOAQ+aGiykqnyQ0AKEIgr6zMSxEREfkWJjhEfig6JAQ6FwOIVSmRFMHlGIioZWKCQ+SHwoODMa1LN5dJzoxu9VcFJyIKdExwiPzUXcNGICwoyGGSc+vAIWgVGenlqIiIfAMTHCI/1SE6Bp/Ouhr9klrV2m40GLBw1AW4Z/hIjSIjItIe6+AQ+bEucXH49IrZOHTmDA4X5CM8KAhDUtrAoOdfbSJq2fgpSBQAusTFoUtcnNZhEBH5DN6iIiIiooDDBIeIiIgCDhMcIiIiCjhMcIiIiCjgMMEhIiKigMMEh4iIiAIOExwiIiIKOExwiIiIKOAwwSEiIqKA0yIrGUspAQDFxcUaR0JERETuqvnervked6ZFJjglJSUAgNTUVI0jISIiooYqKSlBVFSU0zZCupMGBRhVVZGWloaePXsiMzMTRqNR65D8RnFxMVJTU/m+NRDft8bje9c4fN8ah+9b43jrfZNSoqSkBK1bt4aiOB9l0yJ7cBRFQUpKCgDAaDTyh7gR+L41Dt+3xuN71zh83xqH71vjeON9c9VzU4ODjImIiCjgMMEhIiKigNNiExyDwYBFixbBYDBoHYpf4fvWOHzfGo/vXePwfWscvm+N44vvW4scZExERESBrcX24BAREVHgYoJDREREAYcJDhEREQUcJjhEREQUcFpkgvPkk09ixIgRCAsLQ3R0dJ39O3fuxOzZs5GamorQ0FD06NEDL7zwgvcD9TGu3jcAyMjIwLRp0xAWFobExETce++9qKqq8m6gPu7gwYO45JJLEB8fD6PRiFGjRuHHH3/UOiy/8c0332Do0KEIDQ1FTEwMZsyYoXVIfsNkMuG8886DEAI7duzQOhyfduzYMdx4443o0KEDQkND0alTJyxatAhms1nr0HzSK6+8gvbt2yMkJARDhw7Fli1btA6pZSY4ZrMZs2bNwm233Vbv/m3btiExMREffvgh9u7di4ceeggLFy7Eyy+/7OVIfYur981qtWLatGkwm83YtGkT3nvvPSxZsgSPPPKIlyP1bRdddBGqqqqwbt06bNu2Df369cNFF12E7OxsrUPzeZ999hmuu+463HDDDdi5cyc2btyIq6++Wuuw/MZ9992H1q1bax2GXzhw4ABUVcUbb7yBvXv34rnnnsPrr7+OBx98UOvQfM6yZcuwYMECLFq0CNu3b0e/fv0wefJk5ObmahuYbMHeffddGRUV5Vbb22+/XY4dO7Z5A/ITjt63VatWSUVRZHZ2tn3ba6+9Jo1GozSZTF6M0Hfl5eVJAPKnn36ybysuLpYA5Jo1azSMzPdZLBaZkpIi33rrLa1D8UurVq2S3bt3l3v37pUA5B9//KF1SH7nqaeekh06dNA6DJ8zZMgQOX/+fPtzq9UqW7duLRcvXqxhVFK2yB6cxigqKkJsbKzWYfi0zZs3o0+fPkhKSrJvmzx5MoqLi7F3714NI/MdcXFx6NatG95//32UlZWhqqoKb7zxBhITEzFw4ECtw/Np27dvx8mTJ6EoCvr3749WrVrhwgsvxJ49e7QOzefl5ORg3rx5+OCDDxAWFqZ1OH6L3wN1mc1mbNu2DRMmTLBvUxQFEyZMwObNmzWMrIXeomqoTZs2YdmyZbj55pu1DsWnZWdn10puANif8/aLjRACP/zwA/744w9ERkYiJCQE//nPf7B69WrExMRoHZ5PO3LkCADg0UcfxcMPP4yVK1ciJiYGY8aMQX5+vsbR+S4pJebOnYtbb70VgwYN0jocv5Weno6XXnoJt9xyi9ah+JTTp0/DarXW+9mv9ed+wCQ4DzzwAIQQTh8HDhxo8Hn37NmDSy65BIsWLcKkSZOaIXJtNdf71tK4+z5KKTF//nwkJibi559/xpYtWzBjxgxMnz4dWVlZWr8MTbj73qmqCgB46KGHMHPmTAwcOBDvvvsuhBBYvny5xq/C+9x931566SWUlJRg4cKFWofsExrzmXfy5ElMmTIFs2bNwrx58zSKnBpKr3UAnnLPPfdg7ty5Ttt07NixQefct28fxo8fj5tvvhkPP/xwE6LzXZ5835KTk+uMnM/JybHvC2Tuvo/r1q3DypUrUVBQAKPRCAB49dVXsWbNGrz33nt44IEHvBCtb3H3vatJAHv27GnfbjAY0LFjR2RkZDRniD6pIT9zmzdvrrNG0KBBg3DNNdfgvffea8YofU9DP/NOnTqFsWPHYsSIEXjzzTebOTr/Ex8fD51OZ/+sr5GTk6P5537AJDgJCQlISEjw2Pn27t2LcePGYc6cOXjyySc9dl5f48n3bfjw4XjyySeRm5uLxMREAMCaNWtgNBprfSkFInffx/LycgC2e9RnUxTF3kPR0rj73g0cOBAGgwFpaWkYNWoUAMBiseDYsWNo165dc4fpc9x931588UX84x//sD8/deoUJk+ejGXLlmHo0KHNGaJPashn3smTJzF27Fh7b+G5f28JCA4OxsCBA7F27Vp7yQZVVbF27VrccccdmsYWMAlOQ2RkZCA/Px8ZGRmwWq32ehCdO3dGREQE9uzZg3HjxmHy5MlYsGCB/T6iTqfzaBLlb1y9b5MmTULPnj1x3XXX4amnnkJ2djYefvhhzJ8/36dWmNXS8OHDERMTgzlz5uCRRx5BaGgo/vvf/+Lo0aOYNm2a1uH5NKPRiFtvvRWLFi1Camoq2rVrh6effhoAMGvWLI2j811t27at9TwiIgIA0KlTJ7Rp00aLkPzCyZMnMWbMGLRr1w7PPPMM8vLy7Pu07pnwNQsWLMCcOXMwaNAgDBkyBM8//zzKyspwww03aBuYpnO4NDJnzhwJoM7jxx9/lFJKuWjRonr3t2vXTtO4tebqfZNSymPHjskLL7xQhoaGyvj4eHnPPfdIi8WiXdA+aOvWrXLSpEkyNjZWRkZGymHDhslVq1ZpHZZfMJvN8p577pGJiYkyMjJSTpgwQe7Zs0frsPzK0aNHOU3cDe+++269n3ct9GvTpZdeekm2bdtWBgcHyyFDhshff/1V65CkkFJKbyZURERERM2NNxSJiIgo4DDBISIiooDDBIeIiIgCDhMcIiIiCjhMcIiIiCjgMMEhIiKigMMEh4iIiAIOExwiIiIKOExwiIiIKOAwwSEiIqKAwwSHiIiIAg4THCIiIgo4/w9CGSnyPJzTdwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter (X[:,0], X[:,1], c=labels)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"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": "3.9.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}