{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Execute this cell" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "from ADMCode import visualize as vis\n", "from ADMCode import qlearn\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import warnings\n", "\n", "warnings.simplefilter('ignore', np.RankWarning)\n", "warnings.filterwarnings(\"ignore\", module=\"matplotlib\")\n", "warnings.filterwarnings(\"ignore\")\n", "sns.set(style='white', font_scale=1.3)\n", "\n", "%matplotlib inline\n", "%config InlineBackend.figure_format = 'png'\n", "%config InlineBackend.savefig.dpi = 150" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Q-learning" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "### Equations\n", "---\n", "* **Q-update**: $$Q(a_i) \\leftarrow Q(a_i) + \\alpha (r_t - Q(a_i))$$\n", "\n", "* **Softmax policy**: $$P(a_i) = \\frac{e^{\\beta Q(a_i)}}{\\sum_j^N e^{\\beta Q(a_j)}}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Questions: \n", "#### (double click on the cells below to edit)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## **Question 1:** " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "**test different values of $\\beta$ in the code cell below to help answer Question 1a-b**\n", "\n", "**1a)** As the inverse temperature parameter ($\\beta$) increases, what impact does this have on the probability of selecting actions with higher Q values?\n", "\n", "* **Answer 1a:** \n", "\n", "\n", "**1b)** In a two-choice RL task, if the selection probability of one action increases (given the softmax equation) what must be true of the selection probability of the alternative action? Explain why.\n", "\n", "* **Answer 1b:** \n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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NmjVMmDCB119/nf79++/s6Ugkkt0QeZ+RSCQ7AnmvkUh2DWQankQikUgkEolEIpEUQYolSUA8tes1vtuNAp8SiUQikUgkkm8YUixJAurb0qQsd2dPI4/1zalNrySRSCQSiUQikWwHpFiSAGA7HmuaUrQk7J09lTxad7H5SCQSiUQikUi+PUixJAEgaTlURHUUwPO2X+qb7Xibva7nCZLbMNLVHLNw3M3ff5Y2KdgkEolEIpFIvpVIsSQBIGV5GJrKktoYTbH0Nhu3s/Ba05Tc7G2dzLbuNhJvrQmbtL3lYmlNYxLXE9S1bNuUQGsLhKNEIpFIJBKJZMcjxdI2pKndKlgmhNiukZptwfK6OPVtvkCKmBpbEXzpkvWdBEba9jZp2iCEQAhBynJRVWWrzl+xCJInBGnHw3E9ltXGCt5Ppl3WFhFznhC0xCwailzfr0OxfUkkEolEIpFIdh2kWNqGtMQLH6YbYxZL6wofzHc0juvR1F4YMYolbda3pHAzesTUtSCS83Wd6DxPEE85xJJOMIdE2mVTwza1W7SnHGIpB01VaIptuUhZVZ8gmc5393NdgScEibRDPF2Y3teWtFnflMpLu7MdD0/AyobEFkeCYqn89L0NrR3CMZF2aIlbu6QDoUQikUgkEonER4qlbYjligKBsaE1za4QWEqkHZrj/sN7ruNdU9wmbKqYuv9R0DUF1/OjYSsbEl9rnynbxfUEyzfEM797pG0XbxNqqTFmYTsebQkbVVH8c+gJkkUETjGEEP4YnaJLricQApKWh6Cwfiple5SEtTxRFEs56JqCgoKhKZu1/yxtiXwhlGtWEUs6aKrKivqvd44lEolEIpFIJNuPnSKWFi5cyMSJE9l///056aST+OSTT4qud//99zNu3DjGjh3LT37yE1avXr2DZ7pleJ4IojJrG5MsXtceRFd2dn1KyvJQFGhsTwcpdwCu6xE19fx1bY81TckgIrQl5Ka/LauLk7Q8LNejvjVFynKJhnSE8AVN2i4uflxPkLI9HE+gKhBPO2xoS7G2afOEheMKQoaG7XaIMst2sV1fBLYmbHRNYU1jfhqc5bgoikIyZ16266EqCpqm4Iktq5+KpRwa29OkMuM5OfOxM+JPU7dMgEkkEolEIpFIdhw7XCyl02kmTZrEKaecwrx58zj33HO59NJLsaz8VKs33niDWbNm8eyzz/L++++zxx57MGXKlB093Y3iegLb8YK6JNv12NDqC5FYyqElbqNrKiFD2yZiqb4tTTLtUNuSpL4tvUXObu0pB1cI2jJCIYuTiSL9fNonXPHIfMCPPKUsl0Ta3ax6oVwB0dhudUTXBERDGoamUt9mcdfcJbz0cS2O52G7gpZ4octcMu3geoLGNj+apCj+XOMpl4aYvVnzSTu+wMldtSluY+gqda0pUrb/vut1nL9E2sFx/A3WN6VY0+gLs9bMHLORt/XNyc2quaptTmG7giW1cVY1JFm0tj3vM5C2PSpKDP8kSSQSiUQikUh2SXa4WPrggw9QVZWzzz4bwzCYOHEiVVVVvPnmm3nrrVixAs/z8DxfjGiaRjgc3tHT3SjxtMP8Va2sbfQfhhX8uqW6lhTtKRs1EzVQlW3jfBZPOTge1LX4QmlVfQLPE6zajHS5pOXiueCKjgiH7bikbY/muE087dLQbvHKJ3WoqoLleIRNLXCky+J5fs1PLk05Ailte8RSDqsaEggEHy9v4aWPa2mOW7z2WT2z/rWexnabZNrB8QrPydqmJCiAogTnz9Q12hIOYUPdrMhO2nbRVLBynO/SmdRDy/b4MiNcXNHhtreqIYGdGTtleyQtjzWNST5a1sKX69oB/zquakiSslwa2rp2DFy8Lua7/gk/MhZL2rQl7LxIVzYFMG17pC13iyJW2Zoqz+s6Ore5OK5HynK/dn2aRCKRSCQSye7IDhdLy5cvp6amJm/Z4MGD+eqrr/KWHXfccWiaxmGHHcb+++/Pa6+9xo033rgjp7pJbMfDcjzWNiVJpB00TcXQVVbWJwgbOiUhDQBFUXDdr/cw2pawaWj3I0uqqqAAjTEbp4h46Uwy7SDwIy4tMYs1jUlsx2VlfRLLEXm1NH95bw2a6kdlVEXB6STyvEx0KovrCTa0pYKH/UTaoandorHNQlNV7p67lOc/XM/nq9qCbdY1JlnfnEYR+Slofmqeh676NVSfrmjl3S8aiIY0BAJdVYuaaHQmZXv+Ofc8WhM2juvxryXN/Oqxz/n7Z/XcPmcJF/+/j0laHhtaU3y1vp1E2gsibhVRnXjKobE9xV1zl/KH5xYDoGsqFVGDhphFXUvXYilpuYQMFQ8oDetoqkJ51CBsqKRtl7TtBvVUnoCmjMDeXNY1++mDCcsNHPo2J8qYKiLKmmIWtS2pbWbPLpFIJBKJRLI7scPFUiKRIBKJ5C0Lh8OkUvkPi5ZlMWbMGF555RXmzZvHoYceyi9+8Ytd5htw2/FwXUFliYmuqWiaiqYq2LYgEtJ8UwClQwykHe9rPZAmLZeSkE487aKrCk0xG0NXiKcd3JzgQn0mfS1vW9tDV32DgpKw7kckHIHleERDWkE6XDztYOoqqgKO51ttL1jdGhx37uh+VATakw6O62G5gua4TSSk8eaC+mC9GW+uCl6vbU6SctyCqFXa9sjVlP/30jKmv74SgLDhn9ON9V6yM7bgtRnhEUu51LWmsGyPP7+5ig2taWbPWw+AEOA4gtUNSdoSDp4QqEo2kqUSMvLNF1ZnoneaqviRPc8rmhIohEDXFAxNxdBUFEUhZPiiWQC1zSlaE3aQIhgxNd8hMLNte3LjDXDjKYek5e+7LWGT/Yitbty0DXljzCpo8htLOiStTTsUSiQSiUQikXwb2eFiKRKJFAijVCpFNBrNW/a73/2OAw44gEGDBlFSUsJ1113HZ599xuLFi3fkdLuktiWFk3nCLAnrLFzTzsNvrAAFDK3wtLbELSxn61KmXE/gun79TmvCRlGUoC6nqd3C9UQQWdjQms5zu8turyhK8FNVZpJMu7jCt9K+58Wleeu//HEdAIriO8c1tqeDfWQND7KkHA9DU2hPOVi2h6pA2NRojlk89nZxQ462pIOhqTR1ihLF0w6qAvOWNOeZIViOF6TkZR/qc224szRnXPS0bJ1T2qE94RC3XNJFzv2ide2UhHVKwjpNMYsrHpnPPxY1Bucpke6I1vz6qS+C11FTQ1WVoilwtiu6rkISgpTt14LpOcYO8bSLpiisbUqyJNP/qfOXAlmL8VUNCTTVtzlvjlkZl0AnuOYbE+SuKwocANe3pPzeU0VSIiUSiUQikUi+7exwsbTnnnuyfPnyvGXLly9nr732ylu2bt26PNMHVVVRVRVdz3du2xF4nsDKPBi3xCzaEhaJjAlClv97cSnvLGxkbVOSx99ZxSuf1NHYbjH99RW8+mkdKdvDdrbu6/ultTGsjBjKPmNHTA1TV0mkXTRNIZ5yqG9L4biiIGIT69TLR1UUlm2Io6kK737RWLC/Jet9q29FUWhN+j2JhIAltXGsHBGztjGJ4/gpb2nbpTVhE0v556R9I/2D2hI2mqpgZARHS9w3bmhPODz69mrue3kZv525KFi/NidFzfMEtuNS25ImaeXvI552aYxZhAz/Y61pft1TW868crn3pWX+eqrCv75qpqHdYtprKwKhUt+pLikrSFVVQVcVEjnXP2k5COE7H2aFkOeJvM+IwE9vTNpuIP78cQWK4kfWHNdPm8xNdYQOO/WWuG+nXtuSImm5OBmjjKTlR9QWr2/vMvrqiXyx1BK3AgOObdmIWCKRSCQSiWR3YYeLpUMOOQTLsnjsscewbZuZM2fS0NDAoYcemrfe4YcfzvTp01m9ejWWZXH77bczZMgQBg8evKOnTFvCpjVpYzketS1pUpZHc9wq6KMD8PvnvuS1z+r5y3tr+N9H5vPuF408+e4aSsN6Qd+fzcG30e4QZmYmpSuLofvpf40xG8cVaCoF6WENbWmufHQ+j729iqsf/xwr4+D3zoIGZryxMljvN6cNAyAS6tiHZbvYjuenkgk/wpV2fEOADW1pWrJmAwL+OHsxl8/4jMZ2a6O24wJfiLieoK4lzaK1bbQlbJK2yzsLGwBYmZMCt7I+wYdfNfHx8haaEzZrmlJoqkJrvGMf8ZRDa8ImkXaD9MeoqRMxtYLUs2LkCqML7vsPT7y7mvrW/MjXhQ98HLz2I08d465t9N3v6lpTwf6nv7GSSQ99wkv/qaWx3aI1YfuGDrbH+uYUX633o0jRkEbacYmlHXQVltcnsHKEdTZi1tCexhMCTVVoiTtEQjqxpO9yGDZUGtrTCNePFhXD9QRxy7+e7Qn/8xIxdRQKPzMSiUQikUgkkp0glkzTZNq0acydO5eDDjqIxx9/nAceeIBoNMqFF17Igw8+CMDkyZM5+uijOfvssxk3bhyrVq3ivvvuQ1V3fGso2/WbmaYsl6Ttsq45ha6qhE1fVMRzoihJq7ggEkIETWE707wR04Ls2O8tauTqxz8viHZkcT0PIXwTgs4zePXTDdS3Wbw+v57aljRTnlxA2ND481sddUQPXzKGPbr7qZC50RA3U98Evs14yvZojvkpYKraEbXyPMEHi5sBv37m1U83ADC0bymXHVPDsH6l/PyHewKwcHU7Vz76uS9I2tJomuLX03TRdHb66yt54JXl3D13KW1xXxDpmpInClK2X/djOYJFa9v5e2b/AIlOUaWbzhoevM72WlrblC8w/v7pBv7+mT9GTa+SYHmuq2HW5EEIQUO75duSZ67/wjVt/GORH7V7+v21/O8j87ny0c8JmxpCwDVPLOCmZ78MokCtcQdd9Q1CUpZLwnYy+0hlGuwKmmI21WUhFEUhbPoiWZBJX1QVPA8c4eF1YSZiOb7zXTzlsLopGUQrJRKJRCKRSCTF2fE5bcCwYcN46qmnCpb/6U9/Cl6bpslVV13FVVddtSOnVhQ3E1GJpdII4Tc8NXLeX9e8aSezRNpFtfyIjqIoOK6HrvlW2O1Jh6oSs+h26Uz63p8yRgcvfVzHyQf1oTxi5K3neQSpZl6nNKxstCZLfZtFfVuHQNurdwmqqqACuqYETVQhUy+kKJi6iif830OGxoY2C01RcTPSbH1Th8HAPxY18skK3xDitEP60b86wn6DK1ixwY8WZd97e2Ejpxzcl9KIQdJyaetkbqBQ2IVo6YYEB5WHAD/tLosfJfHF683P+3VtY/aspLrMRMmkvGmqwtQz96Fftwh79S5hSW2cutY0VaUGaxqTRaNQigJXnDSEXz32Oe1Jh0TaDXouZd3zss1uk+kOt7lbZuW7O2YRQuTVFdmuwNQVbNcjquuAnzrY3G7Tv5ugvi1NyvYwdQXH9aNQ4BtekDk/adsfIzuvroJEnufXqLUmbaxMhEsikUgkEolE0jU7PkzzDcRxvSDFC/yaFS2n5qS2C7F063kjOGJkD8CvOdE0BdcTftPSTFTCctyN2j43tKf5zdMd5gJvzK/nFzPms2B1W956nidoivljtuVEsDxP0FokXfCW2R1GGddNHJZzrIJldYlAuGiqiml0fEyypgbxlIOuKbw+fwPn3/sRn69pD9aZt6Q5eF3Tu4SysE5L3KZPVQg13y3cNzdQFawcQZjl+5lzl0vu5npOyuHlMz7jqoygyZLtP5V1+xu3TzX9ukVwPcGh+1QD8MnyFn4+7VMARg4sL9jfxUcNJmJqHLBnJUCeTbum+tezvjVNNKSRsl3f5nwj1nL1bRZzMo58QIEZB/g1ZemMs5+S+T2Rdgmb+X+usaRfJ9X585MVZO0JO5iL6wk8AYau0RJ3sB2PxEbqyiQSiUQikUgkUixtFo4r/MiLqhAN+cE4Twi+XOcX009/Y2XBNn++9AB6lIeoLvUjRk2ZfjiuJ7BdEZgTpCwPBaVg+ywX3PcfGtvz0/RcT/DRspb8ZUIEc8tGUmzHY/mGeNFx24vUFOUKgQ8zKXVZAwDwIynZqEhJ2N/Xsx+sA+D9L5sKxjv/+3ugKAqlUZ3u5QaGrlIWyQ9mZqMgYUNlSa0/18qowejBFRx/QG9O/U7fvPVzoyElIQ1PCNY3JVm+IUFda5oPv+qYR1aQPv6On26YdfGwEmzDAAAgAElEQVRTMtsCeQYXuel2Wfp1i+C4IojoXPvkQmqbU74AU3xL8bTjEjY10rbH1GcWccF9/ykYJ8uvHvucV3JSBP+52J9v9tp1HJvO6oZkpv5JUBLW81wIP1/VxqXTP+X9L5sKtvUErNgQZ+Ha9kB0WTmW7ynbRdNUUjKyJJFIJBKJRLJRpFjaDLJpbbkPq698XMcfnlvMwzlCafTgCgCuOnnvYFl1mS+WGmMWquLbN6csJxjLcjzcLiIRuRGK7NhZ1jYmWbS2I5pju4L1zcnAOAH8Qv+Z/1wLwJ69otx8zr4F+/jlCR0uhBFT48zv9QPgiXdXs64pv3ePmtMzCHzjgSz1renMGP5HqlupweH7+pEhTVGIGDo9y82CKNdNzy6iJW7z3/d3CIzD9u3O/xy3F91KTU44sA8HDakK3stNEVQUldaMNXiWx9/psCvP1ntl65K+N8yPJhmGUiAwwBdLVSUG3Uo7Uhx7VYZI2W5QnwZw9RMLuHzGZxmTCZvmmB+5aopZLN+QyBvzmNG9CvaTy1/eWxNc54+WtfDIWyvxMr2aEpbvmhcyNHRVYdrflzN5+qf8+c2VvJXpYfVSxuY9F9v1aI37fbjWNSZpS9hsaE0H0dBoSCMa0gLBuzkNbSUSiUQikUi+jUixtBm4RQrmv8gIldzIxORjarjprOHs078sWNYtE1l67O3VrGlM4niCtC2CfLK0U7y5KeTbb5/6nX557325LsbNzy9m2msrWLimjRUbElz/9CKufPTzwDAibbuBUBjSp5TeVWEuPqrDTXBYv1JGDewQYdWlJobe8ZF47sN1efuMpxxunb046AWUdXMDP51OAf547ghOHNuHa04ZCvhCU1cVNBWqy0IFx5i0PC6f8Vnwe0VU56SxffLWufiowfzPcTWAL8qe/WAtNz//JYrii6d4ung6WTZ65ngCQ1MY0D3ipz06ggNrKgvW71cd4c4LRnHH+aO476L9mPHzMRiagq4pQWQwF8cVaJpCS8LmyXdX09ieX3N17JhenPG9/kXnduGEQcHra59cyMfLW/i/F5fy5ucNQVpntgZJUxVaEw7/+LKJ9qTDWwsagnNvah0CfsWGOM9/uI6U5fo1UKZOS8Im5Xik7Y50z2yksK4lxfn3fsRP/98nee6DEolEIpFIJBIfKZY2guN6xFNOEPlpaEtzw9Nf8K8lzUGKVy6qqtCvOgJ0uMRlI0sAz3+4joTl4nheEK1KWX6fodxUu2xPp/UZh7YjRvagf2bczvxjUSO3zPqKF/7dUQcz442V1LaksGwvED/fH+FHefbPiVAdMrQ6eC2EQNdV+laFg2X/Xpqf6vfSx3UsWN3OnXOWABREiQb1jFIeMTjl4L70yJgwJNIOJWGd8qiBpio8e8XBDOjiWABu/q8ReT2IwBcLQ/v6AvSVTzcw59+1LFob4yf3/4dE2uH1z+qLjvX2wgaeeGe1b5LhChT8FMhupSZ7dI9SWeJHkPbuU8o54wYEBhHgp8EpioLrQUXU4LDh3QvGX9uYJGm5/P7ZL3n10w387aOOazC0byk/OthPIcwVz1kG9ojynUzEbH1zirvndjQG7pwi+fmqNm57Id8wInvu1zSluOzhT3n3iwZu+OsiZs9bz5frY0F6owCW18X599IWLv5/n/DKJx2RqKseXxC87mwCsjuwcOFCJk6cyP77789JJ53EJ598UnS9+++/n3HjxjF27Fh+8pOfsHp18WbKEolE0hl5n5FIdn+kWNoIibTfuycb+Xnlkw2sqE9w/8vL2NCaL5Z+dHBfLMcLTCAU/HSo7AM5+KlyadujrjWN50J70sZyBOVRgy/W+IYNaxuT/HtpC5bj8cFiP2rVIyO4bjprOKd0quHJ8kWOwUJ1qUk86ZByPFY3JjE0JRBtEVPjz5cewD0/GZUnANK2h64qjNmzkp8eOShYXteS4tbZi/l0RWvQhDWdsc9u7dQ4tVupWWBYYGhqplbJQFF8MXnD6cP41clDih5HxPTrkDqbJETM4h/VhrY0f31/bd6yMXt2RI2y9t/lUR1NVYmamu+Qpyjcet6+TP/ZaK49dShH7dcTIQSW4+J5Hfv3hGBAdYRelWEemjSaB366P+d/fw+gw24868rXlEnHO25Mb645ZSiGpiKE4GdHD2bKqUPz5lge1bn46OI9wzqn1t32wldBhLAYbQmH6TnmGI1tFnomehTS/fP/9D/WAH7aH5DnyAdw3AG9uxz/m0g6nWbSpEmccsopzJs3j3PPPZdLL700r9E1wBtvvMGsWbN49tlnef/999ljjz2YMmXKTpq1RCL5JiHvMxLJtwMpljaC5Qq+Wh/jpU/qSFou737R9bfvJxzY2+9jY7t4mSahIT3/9LYlHSzH5c359SxeH6MlZgf20+VRg+Ub4jTGLMKmiuN4rG7wH8YH9YwSTzn0q45w4oF9CvbdGVPXEPhCpT3h0K3UDFKvHNcjabl51uN2ZpmZiSyN3auKCRknuj+/tcqPJv1tCW/Mr8+MIZj1r3VBzVQ445bXlrSJmlreg3jfbh2RqiyaqjC8fzm/nji04D0ABYX2pIPniUB8KUpxE4zXcqJKPzqoD4fv2z3o55TLz3+4J4ausE//8kBIDKiO5o3ruAJV8U0sGtotvwGsoqBrKj0rQpi6SsTUqIgawfGWhjtqn7Kue98d1i1vmaL4aZC3/3gkQ/uW0q3UoCysd3lMn6xoDRoYf7ayteg6G2N1YzIw0tA1lfKIkVdzJYRgdUNH2t2pB/cN0kV3Fz744ANUVeXss8/GMAwmTpxIVVUVb775Zt56K1aswPM8PM+39dc0jXC48DMrkUgknZH3GYnk24EUSxvB9QTvLWrkmffX8bOHPinqHrbfwAqm/Ww0qqLQqzJERdQgZfkW0t1KTTxPMPUM35p7TWOSF/9Ty9Pvr+WmZ78k3amwfl1zknRGtDQnbBoyVuD9u0XoXmEST/lW0VlThgNrKqmIFhoVxNMOsZSdMQlwAic3gKTlkkw7QRqg4woUoHu5ia4pGLqGoSl0z6TRLa2NFYwPMOtf6wP3uomH+PVU3x/Rg16VIbJBISEERpEmwlmx0r86yr0X7hcs/9FBvhAsj+iUhjWSthtYrQP87sx9Csaa+5+OKMwxY3px/vcH5tm6Z6mIGGid5qJral4fJz1jpmDoKrqq4LqC0rB/7ky9Y8ys0GxLOnn9qrLkRhMrokYgRKrLTK760d55qYanf7ejFm3cPh1pkU9lIkBPvJOfqtGj3AzEqdbFX2+xKFRuxO+Lte15aaRHFLFo/6azfPlyampq8pYNHjyYr77KT2c87rjj0DSNww47jP3335/XXnuNG2+8cUdOVSKRfEOR9xmJ5NuBFEsbwfNEEC3oil+csBeGpuJ5gvKwTkXUQFUV+ldHKQn5wqNfdTRYf2V9x4Nse9LmsbdX8eXadkxdpSpq4gr/IX5VfYLldQmiIY3uFSYhXUXTFGxXMGpgBX++9AAuPaaGu/97P4b2LQ3G1FT/Yfnuucu46rHPsRyBoat4QtCesjF0lZCh4WRMK7JNcof0KQtEjKIqgSOc5XTdMyjLhJE9uPP8kYzdqwrTUAllmqz6DVcLP2KK4p/biqhOaVjnoCFVlEd1js9EzTRNoTxiBH2MbFdgOR6DepXw8CVjmPHzMYSM/HFPHNsnSIEEP9KXS0WJUSAuNCXfcRAFfD0l6FHu94Tq2y2SmbOC4/nitjwjUF/+uI5fPfZ5wfFFc6I4hp7fkyvb4DfL0fv1DF7/6OC+QYrf+uYUzTGLuk7pnj//YQ1X/2hvRg0sZ+xe3SjGl+ti1LZ09P6yHI+mHOfCW2Z9xeKMQcTlx9Xk1WrtLiQSCSKR/Nq4cDhMKpXfE82yLMaMGcMrr7zCvHnzOPTQQ/nFL36x0V5ZEolEAvI+I5F8W5BiaSNYjqCLTCkAfnrUoOC163mUhHUEgsE9SjB0lUhIp6rUpCSkcewY30J6RY619Gcr23h9fj1/eN5vEKuqShCVMHWV+rY0favCGKpKr4owPctDJIs0Mc3tPdS9LMSqhiRfrG0Poh59q8I4rsDzfOOCkKGSslwsx8PUFSo69T5SFfLSyzaFoihUlZoI4acAGrqK6wriKScv/SsYX/Wbrpq6iu16XPKDPbnrglGBqNAUBV1XqSoxqCwxMFQF2/GImhqe8PeXm444oHuEUw7uS0lID+rLTv1OP2b8fAwlIY1upQZhQy2IOKmqgsAXTEIIwqZGRcTA0FS6lZmgKIFBRo/yEKGM2spNYezMzf+1b156naooQVNfp4iroq6p/PbMfbj5nH3pVmoyfh+/jmzhmnb+saixYP1upQaDepbwyxOGBKKre5nJuH2qOeXgvuiZY7w6x7xhdUMS2xV5UchsSmUxh8LdgUgkUvDAkkqliEaject+97vfccABBzBo0CBKSkq47rrr+Oyzz1i8eDESiUSyMeR9Zsfgum5BHZhEsiPZ/CfibyFp2w1cx+69cD/akg7L6+I8/f4aLjumhr36dER01ExtS2lIpyTcIRB6VYZZ25gMDBbWNXfcWBuKpHBlsV2BJ6Cq1ERVFRRFoU9VmHVNKZKW66fMZR7e9+xdwor6BKcc3JfallRBg9izDu1P2nYZ2reU8ojB2qYkadvDsl1KwyalnR7+FUUJmrZm2at3CUtq4+w7oIwFq/1apdMO6cfIgeXYroeh+fU8mqpQGtFJWi7dyswCZzvwjSFs20NTFb+mqsxEVRTStovlCLqXm5QZGtWlBo4nWLEhScp2KY/omQiJkneOs8KuNKzTFLcoyTbnVRRuOXcEbiZ61nkuqqIghB95URSoNk26l4dIWS66CnT61s80NJKWWxDVyqV3ZUceuu16lIU76sUsx0VTtYwzn9/kV1EUBnTv+MeaO8eZH+RbtwN5TX1PObgvTe0W54wfQJ+Mi2Gu3Xsi7dIUs4L6pEOHdWfuf2rzxutVuXuKpT333JPHH388b9ny5cs5/vjj85atW7cu75+wqqqoqoquy1ujRPJtoLa2luXLlxd9GD/ssMM2uq28z+wY4vE47e3t9OvXb9MrSyTbAfmXuhFcV9DYbhExVUpCGqVhnb5V4aC5aS7ZqEVVkUJ5Q1MIG4URlmcyDWOL1Z5k06a6lRrBA7SiKFREdSpKDOpyak7O+G4/BlRHOGhIFfNXtuWJpWH9SgkZGoqiUBrWUVX/4dzUVZrjFn2qwkTM/I+B64qgYWmWK08awt8/3cDIgRVc//QXQIeDWjLtoKkKFZltysI67Qknz4Y8l4qoQUxxqCwxqOldwvrmFGFToz3pUBLS0RWFkrAv4Aygd2WIaEjFNLTAEntI7w6hOqyfb82dm96Wsl3ChpZ3HJ0jS4oCCgJV9dMbqzKph2FTQ1dVyqP5ItLUFZKZ/3cXHTmIaa+tCN47aK8qTsvUH1m2i2louK4gGtJwPQ/L8UhaHrqm4GTSE+Npd7MieKd+py9HjuqJ64m8qFVZROey42ryjrsyatCScSm8ZNoneedl5MDyArFk6mqXfb6+yRxyyCFYlsVjjz3GmWeeyezZs2loaODQQw/NW+/www9n+vTpjBs3jl69enH77bczZMgQBg8u7lQokUh2H2bMmMFtt92G6xZmbCiKwhdffLHR7eV9ZseQSqUKIngSyY5EiqUuaI3bTPnLQtY1p+hfHenSuSxLaCN1H5qmBEX5xXA9v4ZHVRU+X9VGwnKzPWvpVmqi5ew7EtIIG34tVLBvQ+P7I3pg2S69KvLFWp+qMJ7whUCuWNA0hYqoUSCUACzXy6tjufpHexMytKCm6KazhlORY2LgCt8MIyvqdE0lZKhBDVRnqktNNMWft6o6OJ7A8wS9KsK0JCz0TnVOVaUmVaUmdiYCBPkue4N6RHFcgaH7EbF4ykEgoJNA1TpdQy2Thud5ImNx7q+fdbvrfM1yt//esOpALJ0zbgDfH9EjEEKBbXfGLEJx/e1KwhoI/9xHTK3gM+W4gljK4ceH78Ejb60Klh86rDq4HmnbJWRoCCFwPY/OMmfCqB482ykiZWWs3vt2Cwd1YLs7pmkybdo0brjhBu644w4GDhzIAw88QDQa5cILL+TAAw9k0qRJTJ48GcdxOPvss4O6gvvuuw+1iDGJRCLZvXjooYe45JJLuPDCCwmFtjzKLu8zO4Z0Ok06nca2bQyj6zR4iWR7IcVSF8yetz5ImcuaHWyMjaVmGZpK7vNpNqUtl38vbeagId2C5qOH7+vXrlREjby6KSH8fWm6Qucvw1RVoWdFfjQnZGi4rkfEUPMezktMjaYi9U8Ag3uWsHxDx/yykZss/XKaygohGNyzhFUNCcIZsaGpSmCMUAxTV1EC4SYQAtKOS2lYo6Z3SZfCUlEIUuOSlstFRw5iVX2CPXtGaY5bDOtXSizlEFdcHEfgCd8KHCCWsunXaU6KopCyPAb1LMHJcSY0dL8/UmVJvvDUNIWk5RI2VFK2x/WnDeOr2hhH7deTeNpBVf0eUSUhjfaUS3lUx9RVSsMqtS0KlSUh2hK2Py9VIWKqeQYaQnhoKhw2vDtj96riykc/59gxvfKila4HtuNhux5hQyuICh0xslAsZa9JWVjnulOHEg1ptMTtYNzdVToNGzaMp556qmD5n/70p+C1aZpcddVVXHXVVTtyahKJZBfh2GOP3SqhlEXeZ7Y/tm2j6zrNzc307Nlz0xtIJNsY+bVGF3g59SrRkJ63PPtNfcpySdm+4FA3EnkKmxqDe0YZ1DPKFScO4Xs5fXiy7mf3v7KcFTkCJdtfpyKq56XwKZnaqGL70zUlzybc1BWOHdMLXVMLHvwjIb3L4n5N9ZvqHjO6F+eMG9DlcQE4niAaUqmMGnnRpo1h6n5tF/iGFIN7RkH4c6+Iml1GpDRVIWV7xFMOVSUG+w4o46xxAyiL6vSsCKFrKooCpqayV+/SPEOF0rBeUIcFfs1Oj3KzQNwpOeYOWQxNQQiB7XgYmsLgXiUcvZ9v3BExtKDESdUUHMejutQMUuAURSFqqgzpU4qpqwyojlAWzj9fmqpSGtZxhaA0rPPAT/fnhE59tRTF75VVWWKgaQqdY0sRQ+PGM4blmY8AQQrfHj2i9KoMM7RfGT0r/OvflrA3KvYlEolkd+THP/4x9913H/F4fNMrS3Ya6bRfdiCvk2RnISNLRWiJ27TkWC0357x2PRFENzRVwcsYBGzMAtTQ/PSwX08chqYqtCUivLWggfHDu7PfwIpgvRv+uih43RTz6056V4YozSnqL4v4JgoqBJGTeMqhJKyjaQolps5lx+7Je4ua+K/xAyiPGOiqUlSAFHOq849LJWm7nPG9/ps4UwQOeOVF+j11haoqQVQj66S3YkOcqKkX7ZGURVEUupeFqG1JUVFikrB80Ro19SAtT1UUyqI63UrNPDMNU1eLmk0M7FGy2fPWVT8SNGbvKmpbUnm28oaukrZdVAVUFPpWRyjLMc4QwhfdiuLXr+maXwdX2+qhZcwn9ExqZENbumDfKcvFNFRMXaUsovvRypRDZdSkOW4RygjqsOk3Fh7Yo4RoSOeuvy3JG6c9aRcIZ0WlS4EqkUgkuyvjx4/n4Ycf5sADD6S8vLwgLe6f//znTpqZJIvjOHieh6ZpJJNJPM+T6YuSHY4US0VY05igvr1DIOU6hgkBeiZNS+ALISdT89IVvruc7ttU40c5bjxjeGa8jSdBde8U/amI+g+68bSLEOAgMDNW4OVRnR7lIfbpX87owZW0Zgr9NW3j9VYF8wXSlkdJSBREsBzPyzTd1VEVX7RpqvK1LKg11W+CG90Ms4P+1RE2tKYpDet0LzNpjtuoOQ/7PSvChDMph67rkRbCrx3aBmJA11UG9fCd68rDOg1t6WC/hqqQFH7vpm6lZoFBhql1CNZsFMs0/M+RBzi2nza4d98y4mknLz3P9QSq5qfflYR1QhlTBk1VKIvoNMct3MzvYVMjlvKjnfsPquCG0/fhnheXMPmYGlxPFBXIZWFjoyJVIpFIdkd+9atfUVNTwwknnFDQL0mya5BIJNC0TIq/ptHS0kK3bsV7DEok2wsploqQdjzWNPrNYy8+ajCjBpbnvW9oKu1JB1NTMHQFzxZ56W/F6FkZpjlukbY9v8Df0HwjB0Xh8H2789aChqLbdRX98YRvbNAUs2hPOqRtF00xMHQVQ/OL+LMP5xtLESyGrin07x6hPemgdhJaKcujd0WYpriNqfvRkG3BoJ6bF+ExdJWa3iXoqhLUcoX0jnOUa0wRMjRs18P1RNC/6utg6iq9Mw5/hq4i8HtcWY5HaVUIBYHlUiCUoPjx6ZpKSVhHEdCecoKaKkNTsZyOejLLdomEdOK2Q8hQiYZ00rZDdXnEtznX/KhW2NSIGhpGjvAZ1DPKHeePAvz0vVBG6CtBLZfDnr02P7omkUgkuwurV69mzpw57LHHHjt7KpIuSCaTQSRJURRisZgUS5IdjoxldiLrjLa+JUWPcpNDhnZD11QSaQeEQCCCb+GzTU11VcmraypGZYkRNDWtjBpB81CA/xo/gPMO34OzDu2fZ7dtaEqeLXQue1RHMHS/4WnvqjB9qiJB89P+1RE8IYiaGinb3WJraEVR2KM6GswxW6eVsl2qSow8gwdlJ0QkupeHUFXFT4P0BKZefA6RkIbtCDSFvJS4bYGqKiAgaTkI4QvTlO3Rq6J4hK1YCiBATa9SelWG6d8tQiQjuDtf80hI89MIFYWqEoOyiE5I99MxdVVBT61EdxuxbL/Rr2mqxFJOwb5Cht8LK+tl4XkCRIf7n0QikXyb+O53v8snn3yys6ch2Qid+18lEolNZuTs7njexks/JNseGVnqhCf83kptCYfRg/16IgXf8S2edugd1mlL+FEV2xWETb//z+agZQr/Q4aKRYf7mq6pHDGiBwA/2L8X9U1NfLTSZtzw6i7FUjSkoWkqpSGPtCPoWREinTGbqIgauB6EDQVFUbeonihLtobG9QAPdEXBRVAeMfwGr4rvMJfbJHVHEzY0LMfrMsWuxNRo11Uszyv6/tcha8FdWWJSEdUxNF+85Tal3VxKwjrRUIeVuJ6JDKoKmXPt17ylbZfSjClEWdRAOClURaMqkkZ1GmgJ9SJsqGiKkmdQAn6DXFPXKY8YtCdtQMMVgr37lsoUPIlE8q1k9OjRXH/99bz88ssMGDAgSPfK8qtf/WonzUySpbNYEkIQi8UoKyvrYovdn7a2NnRdp7S0dNMrS7YJUix1wnEFG1p9Y4BsfYqm+SYEYVMlbPjNUyuiBrGU30S1W5FGtMUwdZWwqVFZYhJLOaxsSBAxdTwh8kRRv8gGeoweFqRNFR0rI9DKo2bQoymbsqcoCpripwjaabHV9UR6RhCYhopAYKKRravM9urpWxXdqrG3BdGQhqp03eOqosSgqtRkVUNiu+xfUaFXRQjL8QgZGvv0K+8ygrTJsXJSJbuVmr5gT9qUhg3Kowa9KsOF0aLkCkJmd7qHU7ieRtqpR0nWURLuT0k6/0/bcQSYgm5lJutb/BRTBJtMH5VIJJLdlXfffZcRI0bQ3t7OwoUL897bVG9FyY4hFovxl7/8hdNOO42ysjI0TaOtrW2jYimdTqMoCqa5ec9m3zTS6TSWZUmxtAORYqkTjidY05jtr+T/oamZFrG5DVzLwjoRU6OyxNhsJ7GwqQZ1NhHTt5pO225enQ2A6rajOG14lBY0aC1GsQf0yhIDgWBA9dYXrfp5wm7g+hc2teDh2nI8qkrMnRpZUhTFdwHsQqBkHeJ6lG+9+cTGMFSVqlKThrYUhqYE+/u6ZG3LLVvghQThzGegIF3ObgNho2g6uqpS7SyHlEa3bjXEkr6tvWXbmIZB2FTZs7d/Y7UdgYWLinTBk0gk314uv/xyRo4cuds+VGcRQmDb9jfuOB3H4aWXXuKPf/wjbW1tXH755cDGLcSFEKxevZry8vLdtidT52ibZPsjn5Q64Tge6zOW04N6RmlP2midamIMXaU0otO9PLRZD5vCbgd862klI7w0VWH04EpG7lFOngumcEhbaXS3ASWz3tagZx7ejS7qeTaHbHNYLZOS163UCARj78owNb13vjFAbo1XV5Rvp5qc7LnVNXWbp7J5nqCq1MBxRSCYu5fnujIKUARYTaCYoOqEwmVgVvvW8pmooJZaieOKvMbGmqqgiJ1TbyaRSCS7CpdccglLly7d2dPY7rS1tdHQUNxEalcmHo/z1VdfAfDOO+8Eyx3Hob29veg2tbW1uK5LMpncIXPcGdi2LQXTDkaKpU7YnggazZaGdcKmFkSWsvSq2DyRFJBag3ASGVOCjsWG7tc7CUFgwqC4SXRNx3NtFGXrxVLfbhG6l5l5TnFbSsRUA0vqiqiRN1afqvAukaYQ2YSxxvakR3kYkVxL6UaiW1uLoasM6lmC4/oNcAtwYyAUUHOiZqoOwq/P0jUF4bl00xuxbCcv+hgyVL8nV1im4Ekkkm8vAwYMYPny5Tt7GtudtrY2Eontk46+PUmn04FYWrBgAfX19QDous7atWsLBFMikaC5uRlFUUilUgXj7SyEENvUkMGyLCmWdjA75Ulz4cKF/OY3v2HJkiUMHDiQG2+8kf33379gvb///e/cfvvt1NXVMWTIEKZOncqwYcO269xs1yNl+w+cpqFSYuqEQ/nCaItFgtUAZg9ULUJ1WWEYvLLEoL7NwlQVNK8Vw4yScAXOFrrYdebrpliFTd23pi4zCxqZflPSt4TwUJSNz1XYraCXF72uQniAQFEKhUVliYFob0OP9Ou0Ppvc56YYUB3BE5BMu8WFmJPwxVHBhDuE/oYmi2hIwXBsFNEx/7KITp8qnUTa9W/gbhJF33m1ZxKJRLIzqKmp4YorruCBBx6gX79+hEL5Kdt33333TprZtiUej+O6LrZtYxi7nvtpc3MzQogCS/BUKsXixYuD39977z1+9KMfAWnsIxQAACAASURBVH6ZwJo1a+jTpw+VlZUIIVizZg267v9fdByHdDpdcE13BrW1tbS0tFBeXk6PHj2+Vjqk67qBG96ucnzfBnb4E286nWbSpEmccsopzJs3j3PPPZdLL720QCUvXLiQa6+9lt/97nd89NFHHHnkkfzP//zPdp+f6wriKQdFyVqC++5iW4Nom48QLngOeDaKolBaxMK6Z0WYlOWiOq0I16YkrIITR1e2vYvblpC1Du/ZhR12LrusjWWqbtPrxL6EtvnFj6HpfYgtLlyexbPzf3diYLch0vVbNs9OKIrvrqfraoEwFcKF5MquJgT49U19ylxKI1EqQ2kMEQvW6FMVoSzim1/gWZBa97XmKpFIJN9EVFXlpJNOYsSIEVRVVRGNRvN+dgfi8Tie52EYBs3NzTt7OgVYlkVdXR1NTU0F7zU0NFBXV0f//v2B/FQ88JvUrl+/nsbGRtatW5f3P9wwDNra2rbv5DcDy7JoaWlB0zTi8ThLlixh2bJluK676Y2LkEwmURQFXdc3WrvVFYlEgqVLl/LVV1+xfv160un0Vs1jV2Z7PI/u8MjSBx98gKqqnH322QBMnDiRRx55hDfffJMf/OAHwXpPPfUUp512GgceeCAAF1xwAd/97nfxPC9oULatcT3BH577kuUb/HC1pipEQxpJa8tFixAuOHFo+xz0KAi7y3U1VQEFjMQCLEoorQxT3xIjai8Ddl7zNVVViJja5kXSEisQkX4o6i5WQGq3QKRPl28Lz/GjNKIF3L38a5V9T7h+pMbNz30WdjuKUZb9xRdGagiEAKcF1DAkV0Cox9ee/t59irjdpBtBAMUui3ARng2KSq9wPXgmevsKbKN/waqmriKsZKHgk0gkkm8Bf/jDH4ouT6VSvPzyyzt4NtuHlpaWINqyNQ/X2xMhBKtWrUJVVWzbJhaL5Tm8LViwAICjjz6al19+mX/84x84jhMcD/iCacOGDcHrXHaFuqV169blzUvX/z977x1nRXm+/79nzpyyZyu7LL0XC6iIKIpgjKJG1IAK8kVjFEusQaMSFWyYGInRWGJBFCMRRVExGAEVGwpYadLr9l5Pb9N+fzyn7tmFBWn+Pl6vFy/Ozpl55plyZp7rua/7uhVUVcXtdu9Xcd1gMBhvb1+khoZhUFVVFbcdB/B6vTQ1NeFwOMjOzqagoCDtHP5UhEIhGhsb6dSp0yGLahYVFdG/f/8D2uYhjywVFxenHUTfvn3jutQYtmzZgtPp5KqrruLUU0/lhhtuIDMz86ARJYCy+gBri90ADOiSid1qIdNhxbE/Lmd6lK1HGgET9D3rhXMzZDQtTDgcwCJLmJIN+08wZzhQyM1s781tgHF4ZyhMM3Wmxow0gb6Xl4PmE0YJlgwRZUmGoQkSJLU4B8lRHVOHcB1EmiFUKc6B5gUtGP06hBko399DokOWDbNlv0ytdQkeCMIWaYySvABIMh0dQZz2Nn43RgTBvH7BL/gFv+D/NtavX88DDzzAqFGjmDZt2uHuzj6hrdn0ZIIUDAYx2qg7qOs6TU1NlJWVsW3bNmpr26HK+Imorq6OR1gsFkuKCYWqqnEJ3tFHH80ZZ5yB2+3mxx9/TGvHYrG0Osg/WGSpsbGxXVE6j8fTah8kSdpv4pqswmpvVCgQCLBjxw4CgUAK0QQRgdN1HZfLxfbt2ykpKcHlcu1TdKayspKtW7dSXFxMTU0NXq+X+vp6ioqKKCoqwu/3xwntwUZDQ8NByc875GQpEAiQkZFqZ+1wONIYstvt5q233uLPf/4zK1asYPDgwdx8881oWotaMwcQ7oCYYT/7uEKmjh2IaUbNDdpNGJKgB0CyiEE4coI8tQJT89PZ4aZv1470KXQiSyLK1a3D4Y/S5O/l2E1Tx9SjUq6Wg/pDjUCJ6JOuiuhKqAr0oCAs0R++2VJyprrAkgOyM73/ZgSQ43lAYlFTnBSaelgQKs0H4WoIlYs2NC9ICma4CQJl4N+134dkaiHRRjKMoIhaNn3d+kZ6EAwdNPGbstoy6JjVVhDZBA6v3PMX/IJf8AsOFxoaGpgzZw4XXHABl19+OR988AG/+c1vWLhw4eHuWrthmiYlJSVpy4PBIKqaUA7IstyqNM3n87Ft2zbq6+sJhULIsozb7T6YXcbn8+FyuVKUK4FAIE4G/H5/3KnwqKOO4le/+hWQLsXbEzRNa5cRgsfjYdeuXVRVVe2RxKiqSnFxMfX19dTU1FBWVtYm+TRNk5qamjYjNftrQJF8PO01eairq2tXoEFRFCKRCDU1NRQVFbWrjx6PB4/Hg8ViQVVVPB4PFRUVNDU1pUQBPR7PfksP24tQKER9ff1BCaocchleRkZG2gUIhUJp+mCbzca5557L8ccfD8Dtt9/O3LlzKSoq4qijjjoofXNFyVLHHBtKtBDtfkNtFmQpZgxgpt/UcfOBYBm5GdkQtpHtBCSJwT2zRQThEMMMN4AlC0kRltx7dZvTowN3QxU21raCQ9DLdJixSApAqBSClYAJkgLBcrAVYFo7iKiLo5s4Tlu+uC6xh7XmwQxbkOzRYzAiovIsWnQfRpT4iORKQlXRyFN0e0mJnoswyFbwbAR0kG3tMppoFWo0MpkMQ4XVl4EWfZkd/RcoHC0+yzZB3qwh4p70SjZobWi3Yzl1v+AX/IJf8H8EmqbxxRdfsHDhQlauXImu6wwdOhRJknj99dc57rjjDncX9xlerzdNxuZyuVKkT7Is4/V6ycvLS9m2uro6TSIViza0XPdAwDCMFDOGGBRFoa6ujh49esSd8GRZpl+/fvTq1Qur1cqKFSu444472rWfWN5Sx44d97heQ0MDhmHg8/lwu93IsozD4cBut5ORkUFWVhZutztOOmKD8VAoxK5du+jZs2daEKCmpgbTNNtMY1BVNU1S2B4kk19N09B1fY/SuUAg0GpEaU+QZRld1ykuLqagoKDNelWapqXJDCFdDhlbVltbS7du3drdj7bQmiFIrL6WxWJpk8D+FBzyyFK/fv3SrDqLi4sZMGBAyrK+ffum2ELGrBcPppFAs1cQmky7gmlCh/2JKMXRop+mni6ncq/HjDRGIxqGGJjHB9TSYSFLBIoSg/D2QHUJkqI4RcQDMMOJ8L1pqIfG/CFYHpU8Igb/piHIi+wQRMG/SxAoLSCIVbgeAsWp+TpGCHQ/pmeT6LPmF9K6QLnYJlQLeijavi6uT/KDULYBJihZYrnFLtaTlH3KC0o5X3pQkLiIG1OLmjQYauo12v4gbJwStw1H94NrDViSKpwHyzG9O6LtJ83umDqYEUz9yLFZ/QW/4Bf8goOFmTNn8qtf/Yo77riDYDDItGnT+Oqrr5g/fz6SJOFw7L1235EIi8WSZnLQmhyp5bKGhoZWZ/wtFstBM4Roq0YSiAiEYRhxJ7zevXvjcDjIyspi2LBhKRbi7cHepHiBQCBlAt9iEXna4XAYj8dDdXU127Zt22N0pqSkhOLiYsrKyqioqKCqqgq3273HfG+LxbLPBhSmaVJVVcWMGTPi0Zy9yfnq6ur2mZAl97GpqYmioqJW76WKiop9iuK43e6fTGQaGxuprq6mtraWnTt34nK5AJEbdjBIUgyHnCyNGDGCSCTCvHnzUFWVd999l4aGBkaNGpWy3iWXXMLixYtZvXo1qqry9NNP07t374MWVQJo9Akyk+NUhBveT7HHbpE/g6SIyEvsay0oSEakSQy6W5OwmXpaHs7BhGkaEHGl931P0Pyi5g8S6GHRRihJm+ovSpCYgwnTjO7fBHRQMsHiFORTD4DqFv2QJFB9EK4F1RMlHn7wbhZEyIyIdf1FEK6BNZNg7RXCVEFtFO2ZBmBAoFyQrhgsmVHCRLRQrA2seWIbtQkz0s6igJH6pOuui36Fq0SfAPw707dxr4Xq96L7torjT35QS7IggqoHfNsT0kQjLNrXfOlt/oJfgHhBq1rqM0HVDKqa0wchqqZT1XT4k6rbA90wafQKSW1VUxBV+0WO+n8B//nPf8jOzuZvf/sbzz33HL/73e8oLPzpZjxHAkzTjOeGqKraqowquWCrrus0NDS0OeANBoMHpV6Rz+dL2WcywbNYLNTX11NeXo7H40kZ88WkeCtXrkxpb0/yrr2Rpb2RCVmWsVqteyQFMQlaKBQiEAikHV9r2J+8pXA4zIIFC3jzzTf58MMPkWV5j8cX689PgSzLaJpGSUkJJSUl8fuhoaFhn3PCZFneJ6LbEjF3REVRsFgsmKZJdXU1O3bswOPxHNTan4ecLNlsNl5++WWWLFnC8OHDef3115k1axZOp5Prr7+eF198EYDRo0czY8YMHnjgAYYPH86GDRt44YUXDurJaPaL2f9shxK3zd5vtIwKSTJovsRDIVSBIBh+EYQKVbTRzqEjS+hhMcA20h+OZsTVxkaaIB2SVfRVCyQiTKYJagMEijADlQe0q2bLSI2pCWJiaiJfR1IgUAru9YAkpGhm1MxAc4PFIUiUGYYfLoEfb4D6TwXRM1VQm6BxVaJ97yaxTHaIf6oLvr8Qfrg4qQ86NH+feu0li+iLb5cgou2B5gFflBDpIZH3FmkA2SLypCrmt75d0VOw41FxDeUWdu+2juK6BooFQQ/VCMt0IyLab6WO1C84PGgtEhsMa/HC1YcC/lDiHg6pOjWuMFXNQYJhHcMw2VXjo8kbSetrnSdCozeCphvUuxN5mqqmU9McQjdMgmEdVTMOa7kB0zSpag7G81T9YZ16b/iw9ukXHBrMmTOHoUOH8pe//IURI0YwefJk5s+ff8gS0A8mJEmiqamJSCRCc3MzVquVoqIiTjnlFJYuXQoIqVtsNr66unqPg3pFUX7S4LYtxAbwpmkyd+5chg8fzvLly+PH4HK52LJlCwADBw6Mb3fmmWcC8OWXXwKCdD3yyCMMGTKE6dOnt2o/HpO7tYZIJHJIivVWVla2+mzZVyIaCATYtGkTQNwUbU8mDzFicSAQy2cqKiqitLSU+vr6fXbOkyQpLqHbVzQ0NFBfX592PLE+HGgXv5bYZ7K0e/duvvzyS5YtW8bq1av3y9HjmGOO4a233mLdunUsWrQoXpB2zpw53HTTTfH1xo0bx4cffsi6det4/fXX6dOnzz7va19Q4xI3bo7T2rot876gVWc4HbxRiVeoIioR84nBeUwyVf8ZVC+Kri+Bd/tP7Mg+wAgJwqGlXlNT9YDnR0zNhxlsYZBgRp3kQBDCUBXxk2eqCdmaJh7O5h6MLtoLM1AKwRamB+E6wBRSuVgOztorYOOtUeJgRomUKiR7yOLvVaMTjnmBYkGilBxx/UpnJ+3UECYQkiyc6DybEt+tHAmNX0HDcth8B2x/OL3TFgetuc6lSTNBRL7iksLYwzQa0do6DeqWiEUnzhVELBmx71qDbBfHKttETpXa3Cox/gWHHjEipBsmNa4QhmESiiQmSrZW+thd66eo1s/uWh+B8IGfRImookhxrStERVOQkjrxu2jyqXiDGt6ghi+kEYjo6IZ48XmDKsFwYiCyrthFUa0ff1inqjmIYZh4AirljUEavWE2lbmpaApSVCeOJRjR0PSDQ5z21GadO0yzN4IvqNHoDRNWdWqaw4TVn390KaLqh5RY/9wwatQo/v73v/P111/z2GOP4XA4ePTRR/n1r3+NYRh89tln+Hw/30i7xWKhsrIyPjZbvHgxHo+HRYsWxdeJSc/aIwPzer0HNDFf0zRUVSUSiTB9+nRmzpyJx+Phtddei69jmia7dgljpOTIUv/+/enWrRurVq1iyZIlnH/++cybNw9Zllm4cCFjxoxh4cKFKXIsRVHaPM4DSSbawttvv83ZZ5/NXXfdlRaJ2RORaw2hUIiNGzcCxM9PWyYPkUjkoFjFK4pCOBzeb3IiSVKK62F7ECNKB5sQ7QntukvKy8uZP38+H3zwAY2NjSkvIUVROOmkk5g0aRJjxow5qJGfg41mXzSylKEg70dkKZbMZ2reaM6MLAbnjV9Cx19HJV8+MRA3DREBMA2w2GINiPwTAEc3yDtlr5bjBxRGREQYkiIjpmkKcqG6RKTGCGIq2Ul1hpIfohaI1INsFQ55pgqWrKjxgUeQLrUZnL1TdmuG68FW0H4DBM2XyM+J7zpD9MW7CWqXQtWCpPU9YO2Q+Ft1gzUDIh4gqf8t791kImKEorlZ0eRZJSd13a1JNrMNnwN/FZ+bv4WcIVFC2cpALFAGWan5ehghUDKjRMpMHJ8egpJZifWcfWDEp4AE356bkHIae7AWl6N6fEMVbRvhdML1Cw4pVM2gtN5P385ZbChxY7PKeIMaNkWiR4ETl1/FaolGeySwWWTKG/wM7Jq9X8+ptlDtCgES7kAEw4BQWCeiGaJgtixhmlDdHKRDtg1fSMNqkahzh7FYZAqyTFbvbuaRd8XkjqobOKwWuuVnENEM3H4NqyIhyxIRTcc0wacZNPtVZEmiTycn+T/FUKcFmrwRIrpBl7z0/BNPQKXGFcJuFTKOLzY1MH9FObdf1J+Sej+9Ojpx7s3Y5ghGvSdCdoYFu9VCKKKTm3n4XVWPRNjtdi688EIuvPBCXC4XS5cu5YMPPuCpp57ixRdf5MILL+SRRx453N3cL4RCQmatKAqff/45AN9//z2RSASbzUY4HE4zWNA0jd27d7Nx40aKi4u54oor6N69O4qi0NDQQOfOnQ9I39xuN83NzUyZMoV169YxePBgVFXlm2++obGxkYKCAmRZjkdOBg4cGDc1sFqtnHHGGSxYsIA777wTm83GbbfdxjXXXMOCBQv417/+xfTp01m4cCHPPvssBQUFcblby5pGuq7j9XoPKlmKRCK88MILACxZsoSSkhJeeOEFunTpAiTyllr2rb6+HpvNRm5ubsrynTt3xl0Kk8lSa0YSNTU1B50I7g9i0c/Ydd4b3G73YSdK0I7I0syZMxk7diwVFRVMnTqVJUuWsHr1ajZt2sSqVat4+eWXGTZsGE899RRjx46Ns96fI4IRHUWWcFjltHFzuxCqFrlIWiAxAP3617D9ISj7txi0mwYEK4if+uQdudcmPm++Q3wXJRCmeihmuqID8ygRMbVQNLfHBY6ugmTooVQCZ+ri++bvosdiiO09P0YH4pbocVgFCVBbkaJFGvfdzEJO/HDixWMlC+z8O5S9nOr+1nKf1ugDaPXE1OXl/0nkBQUrILA7qQ23IEpGWEjY9iaP/PosQZQ23wXfXxzraPp6ahNmLNcrBskKpiTIKUkPiOTjyBkiokOyVRCjEZ9C3qniO82b+L+tXKRAMSCny/WOIByIKPbPAb6QRjBisLnCjcUiIQHBiEFEN9lR5aOqOYhVseCwWXBYLciyRCBiUN4YoN5z4GqbRVQDf1jDapFx2CxYFZmNpS4CSZEjRZF58eNi/vTqBu6etwl3QCUQ1thd42Pmezvi6z3xv108snA7Td4wHr+KLIscUKtFRpYkFItMpl0h027Bpkgp+4ihqilIs6991riVjQGKa8X9YZomZQ2BuDiguNZHsy+C2y/aqveEMUx4bNEO/rO8jGeX7qaqOcQ98zZjGLCjyketKxFx1Q1zvyM1vqB20KV9IqdMPD803aDeEyasmlQ2BSlrCLK71peWc/YLUpGXl8cVV1zBm2++yaeffsoNN9zAunXrDne39hsWiwVFUaiqqmLr1q2AyN2JHZOiKPGIRlNTE5MnT+bkk09m7Nix3HfffcyZM4cZM2bE24vJ9g4EiouLueyyy1i3bh0XXXQR8+fPZ/z48RiGkVIIeOfOndhsNnr37o0sy3HH5IsuughJkhg1ahSLFy/m1ltvxel0cs0117B06VJGjx7NmjVrmDUrMbHYmtztpxgftBeLFi2iurqaK664gksvvZTNmzczYcIE1q9fDwji0FIGaJomjY2NrZ7zNWvWxD/X19fH6yG1lOIdrKjSgYIkSezYsYPGxj3nswcCAaqrqw87UYJ2kCVVVVm2bBnPPvssF198Mf369SMrKwtFUSgoKGDEiBHcfvvtfPLJJ0yZMoXS0tK9NXlEQtMNiusCaLGX4j6qMUzTEHV+kqMeyRIr93qQonKwYHliwJ48WHWtbqVlQ0QYgsWpA+qDgTgBMKLHszMaCQsK8ichTBNiZMqMStuKnobNd4qIihSdxTQiQhoXixZJsoii6H5h293iGPepRlNU2hc/H/7ixDl3fZe+vuoS5GnnTKh6RyzT2niQbJsu/o/lkNmiib/utWLbr8+G1ePbrnEUP6SIIEogDDBUN63eVKYePVdCF24amojImVH5Ytx63kxEs2wFMPip1HYkCzi6RI83Sj7X/l7kYrU2WDMjgqSuuxZcP+z5WA4hysvLeeyxxxg1ahQXXXQRN954I7fddhtXXnklp556KldddRVLly5t1wB0y5YtTJgwgRNPPJFx48bFX1At8cknn3D++eczdOhQJk6cyLZt2w70Ye0R/rAmIkSmhE2RkWUJu1VG001hqthi9q2qKYiEkJLVukKEVR1PoP1ui63BNE0imoEsSejRZ6AsS8iyjGIRfSlvCFBSF+CzjfXRfussWVPLLS//SLUrjDeUTnhmvL2NTzfV88T/djL5uTVMfm4Nt7+6IU7ypChx0nQhO9xZlcjrrPOEqWgMpsgRY4ioOpqeIAi+kE6TL0JY1WnwhrEqMqpu4g9p+EI6xbV+atwhNN2g0RfhT69uYGuFl+WbGwgnGTu8ubKCYETHE0wcS2VUNrivqGoKsr3Ki6bvG1naV3LV6IvEzYnKGwLYrTL1nhDeoIZikQiGDdyBxPGEVZ0m38EtIN7si1DrClHdHIpfp58LevTowc0338ySJXuQNCfhSH7OfPHFF0DCGOHrrxPvrdis/nvvvcc333xD586dGT9+PDNmzGDYsGF89dVXfPvtt0CiZtCBwOLFi6muruaaa67hiSeewOFwxFVJixcvBkTUZ9euXQwYMACLxYLdbo+TpeHDh/PDDz8wZ84cevdOVal07dqVZ555hsLCQt5///247C0SieD1evH7/fj9/rhF+L4iEokwa9YszjvvPFasWLHHdTVNY/bs2dhsNm666SYeffRRpk2bRmNjI1deeWU8J6ulNK+uri4eDWspf4zdWyeddBIgoktWqzVFNmoYBqWlpUcEwdgTYmYPu3btalX2GolEKCsr2+eaSbquH56itA8++GC7nWLOO+88Lrroop/cqcOBndWJixUI69htbd9oMQtnU4smKRoRMThVm4VhQIx0qEk/Rs/GqJ20U1hKxxCLQHk2QUVCs4s1WtvANEUifqj64Evy4vV2TCHTMnTxvzUaIo5JuGKD/lCF2Kb+E/G3f3c00mETkR+1RbKl7hdtRJ3YzFBt1PVNbj3i1ArE+tF+haPbGxFxfkPVrW8UqoKiZ6B2sSB2ehi+PS96TBlwQlJuUrBcEK9YdCZGZkteENvGUPJc4nPOCXvveKQ+TToYJ3vu1aBH9xc3rjDFvQTifvrmHBFtBMg+LvUeiiFalJdtDwlyHqmHYCl4NqSvaysU6/i3J0jdYcaBjGKHw2FuuukmLr30Un744Qd+//vf88c//jFN371lyxamT5/OI488wpo1azjnnHO4/fbbD8rxxUhILEpR2uDH7Y/gDWhYZEGUXv60hNeWi3w8WZKQJAmLLGGYJn/69wYmP7eG6fO3cNNL61lfLJ4vJXV+iqP5P23tc2+IaAYG4PKr3PLyeu6fv5mZ721nZ7WPJ/63k+tnreWBt7by2KIdKdstXVdLWDX4yzti4Hd8r1R5anFdgDe+KmdndYJseAIaX25OnTDxhzUqmoKENYMNpW78IXFOrIrMzmofFY0BPEEVb5QUFtX6o7JBKKkPoOoGmQ6FXTV+lqyp5Y65G1ixpZ7vdzZR1hDA6VCIqCabyz28/311m7lJn2yo4465G3nlsxIAXL4IzT6VQFinxhVMIaVtkRp/SKW0LkBI1cmwW+ImEsloi0A0esNsq/SKwalr7/mEhmHi8qnoUUIWVg0kSSKimdS6w6wtcqFYJGpcoXj0qd4TpqopFI+0HQxUNgXxBDUqGgMEwhq1rhDBsEblz8Qpsb04Ep8zyYhJ8O655x4URWHVqlVp6yxZsgRFUXjrrbd49NFHufzyy7n33nsBeOKJJzBNE1mWaW5uprq6jXdsOxEOh+MD/gkTJsSlY507d2b48OGsXbuWqqoqysrKCIfD8Xwlq9VKTk5OPBqWnZ3dZsqH1Wpl/PjxeDwePvzww/iyiooKysrKKCsro7y8fJ8H4d999x3jxo3j6aefprS0lDvuuIOioqI211+8eDEVFRVMmDCBzp07I0kSkydPZubMmaiqGieGkUgkTooMw6CpqUlMIkXljzGoqsqGDRuwWCyMHTsWaN3koaysrM1nU6wW0Q8//NDugrYHE7IsYxgG5eXl7Nixg9LSUmpra/F4PJSUlLTrGqmqytKlS5k5cyZXXHEFw4YN4/TTT6eiog3TtP3EkSdoPEwoqRNE5Pyhncl0KHTrsIdaC/5izMyBEKrCdPaGYBXYC8QAVA9BuAG+OavFRkYijylm7IAkLJ4BNtyYWDV7sCBIZrSoquYTBgGaP5Ezc4AhbKR9sT+ikR5TREVaOqWpLsjoLkhHSrFdE+qWCaLR9VKgxeylEstzioj6RZpHHI+pg+rFdLRdwC2OQLkgFJIhojGaT5ChTVNEfpS9s5AO9r5JRMTK/wM7H01to+rtxOfckyCnRQHCVWckPncZByXPp/cjFDW6GPoaZPaHH/8A3i2QebQgIC3RGhk0VEAS1zVci+nsJ8haLG9MDyUIoBECd1QW4mijqJsvOpANlsCmpBdxW5blrRRKPpyIRbFbm5yJRbFjkexly5ZRWloaL1rdEt9++y2yLHPFFVcA4sX8n//8hy+++ILf/OY38fXeeustLrvsMk4++WQArrnmGk4//XQMwzjgVcDr3CEy7QpljQEGdsnCspEKfgAAIABJREFU49dw+6J5SLLEu99UsmqbkCVccUYPFIuMaZrc8vJ6gpH0wfUrn5cysFsWhTl2rFaZrRVe+nXOjEcyOmTZ2FDiZkifXGRZoskbJj+7ddnl5xvreeHjIuo94p6oaBID9e1Vu1LWi5GM+8Yfzd8Wpt/nZx1XyJW/6ondauHpxbsoqW99gmfxmhqqm0PccG4f7FYLsiThC2lCZijJlDUEsEZLNygWiSafSrNfJS/TSobdgmqYuP0qHZwau6p9FNUGqHWH6JRjZ95X5QB8tL6OGlcoHlX587iBOG2WeGSsS56dGpd4Rr1001BueDEhu1q+uYFd1V5ME+xWcR3K6oN07eDAabdEo1gGPTumFlOPqDrFdSK6o2kmsiyOq2NO4ryrms7uWj+ZDoWeBanbl9UHkGWJBk+EOneIwhw7ljby0kzTZEuFFxOTQETDME00w0SxSEyfv5kmX4KkPXH1ceys8dElz44vqKFYZAIRnYgWIi/TilWxxNs0TdqVCxfRDGxK+m9EGHaI77MzrLj8KjWuMPnZtlbX/znjSHzOxODz+fjuu+849thjGTBgACeeeCJr1qxJKTRbVFTEli1b+PWvf02HDom83hNOOIExY8bw4Ycf8tFHHzFmzBgsFgtutxvTNPe7sKjb7WbTpk1kZmbSt2/flO8uuugivvvuO5YsWRKPGMWc8GLFYdt7riZOnMjs2bNZsGABl156KbD/bmk+n4+//vWvLFq0CEmSuPLKK+nfvz8PP/wwt9xyC++88w7Z2dkp2+i6zosvvoiiKFx//fUp3/3mN7/h/vvvj0f5FEXB7XaTn59PTU1NSj89Hk88V8zlcrF161aOPvroeNHk3btFqkCM+FRVVREKhVLOk9/v59VXX2XdunVs2rQpLu/Lz8/nsssuY+LEifTo0WO/zg3Atm3b2LJlC+eee27aeWgvYsccDocJh8M0Nze3+1o/9NBDLFy4EBDka8CAAZxyyil7LUS8r9inX+nXX3/Nb3/7W0477TQmTJjAgw8+yFtvvcWGDRuOCJb6UxCThXSNJgS3VWNJkIoA+DZHc0ICgAFaSAxyjQjUf9z6TsJRa1JTh/XXCYlUwxfQmBTOtXcTZgSmJiyuJTlaXDVz36Rq+4pYzSfRQfG37qdV6VhMwubbCd+OSSxv/h52PAxFT0Zd6KKEM1guiqvGEGkUtYLCdWK5oYrISmsRkJaQov9km4jcqc2J7XSfIE/OAdDz95BzYuttlL6Y+GxGBxSDn2x93ZzWB+MAOPsJogRwwkvCne7EV6DvlMQ6BUL+gOpKN6XQg+L62ruCFDVwCFUk7MZDlcLRb+0Vqds52niwDby39eXbHxSOfd6tqcvbGc07VDiQUezi4mL69++fsqxv377xmbgYtmzZgtPp5KqrruLUU0/lhhtuIDMz84APYAIhDU9Ao8EbJhg2aPapQiKl6tzw4joef38Hi9ckZC7Xz1rHDS+u45rn17ZKlGJ44v2dWGQJWZJw2hXcAZWyhgC+kIbLHxFc3DCpd4cob2x9Vt80TV75vCROlNqDAV0yW13euzCDnh0zyHJYuGvsAK4/pzejjingD+f04YU/nMjT15xAlzxBHNYUubhx9nqKa/2iGKhVvDBlWULVDJ5avIu7/iOihxZZwiJJ1LtFVESWxDFvKHUx4+1tvPZlGR+vr4sTJYDtVb4U+dl/v6vi4XcS0qe/XTGYsad0ZcbEY5EleOWWofTtJMhLtkMhENHxh3WMaPJ0jtNKoy9CnTtMSV2ABk+EGlcoJb+pvDGIRZbYUuHlmhfWMvm5NdS6UieNBImRCEeEeUZ5Q4BASKPZF8GqyNitFhq8YQwDtld6afS2fl2CYR0wsUZzwRo8EdwBjYff3ppClADWFbmRgeqmEN/tbCIU0XEHtPixuP3CGXBblZcaV4g6V4jSVqSHRjR/S8jWW5cmBsIiKhgjec1+Fafdgi+otS4J/hnjSHvOJGPlypWoqsrZZ58NwOmnn45pmnFpHRCXGl544YVp2//pT39CURSeeuqpuMGCLMt4PB7Ky8vT1m8PampqKCoq4rjjjksjL+eddx6KorBkyRJ27BATf0cddRS6rscleBkZGe3aT/fu3TnzzDNZv359PGdrf2AYBlOnTmXRokUMHjyYd955hwceeIArrriCa6+9luLiYqZOnZoml/v4448pLi7m4osvpnv37infZWRkMGzYMLZu3UpjY2M8b0nTtDRpoKZp8dyjdevWEYlEOP744+nXrx+QGllqbGzE7Xan3VOPP/44zz77LCtXriQrK4sxY8Zw+eWXYxgGs2fP5pxzzuHGG29k+fLl7XY9DIfDvP/++0yaNIlx48Yxbdo0xowZw5IlSw5IjmZ7fxerV69m4cKFHHXUUbzxxhusWbOGDz74gGnTph3w4tL79Eu9//776dKlC/feey9nnXUWTU1NvPTSS0ycODGuofw5wjBMXFGphNMu0zVvD0nvuj8qT9MEoYnUI2yd1WiNIhWa28hnCUbzucI1YlAcLIFt98PWpEGuvZMYJIP4DhImCftqgrAv0HzCGhsAWRBB2S7MBloidiOXz01d7kt6KHl+FKSw5EVR2PWbc5JyuUIit0nJEZ9N4cKF5hGmErRSR4moax6ykM5BIirnTkrE1f0Qc+pLdsBrC/aow0/uEDj5nfTvlT3MlCTnm0kSZA0U/+cOSyzPjxZbVt0JYhZDzIlOkgBdkFDZEY1AWgSRbg0Z0YevHkwl0B1HJ+SbreHH1Bku1KTq7Oq+VRI/0hEIBNJerA6HIy3R1+1289Zbb/HnP/+ZFStWMHjwYG6++eZ9snNtD/xhnaCq4wvqOGwyTb4wkiQx9wvxTNhcnl7RPtJKkdQXbziRuX8cxqNXDAKgwRvhs4113PryenZWC3KQYbMQCOtUNASxKzKhiI4vJBztimrSbcfdfpV6d+I+uvJXPXnosmOYdqmQwFx6ajcuGtaFa84Ws70DumQS0UwuHyVIe0GWjdk3nsg/rz6ejtl2cp02Mh0KXTo4OLlfB64b3ZuRxxTgtFvIy7Ry528Hpuz/4Xe2YbR4we6q8fNjiZtGb4SvtzcJQihL2K0W3lxZznUvrGVTuYe5y1uUENgDdtUkBvfXj+6DRZYYd0pX+nRyYiIkiw9edgwn98/DG9Jw+TWe/GAX1z6/lh1VIuputcg0eiPkOK0oipC3NUTJTK0rRK07zF/e2ZZidjF9/mbq3CG8QRVPQCWkGuiGSYM3zIfraqhzh9lR7eW9byu5ftY65n5Rim6YWBUZwzRblfEBNPkj8Uk9SZLIsFv4aF0txXXp0TxvSEMzTO5+fTOzlpVw00vr+bHEhSRLRHSDyqYgO6P3hqobeEIaroBKca2PiJq4X8obA7gDKk3eCKGwjjugsrPaGzeQ0HQDT0BPiUzZrRaUqGnIkYBgMNjuf3vDkfacSUYsXylGlkaNEu+iWETDNE0WL16Mw+Fg9OjRadv36dOHiRMnUlpayjvvJN6Nsizj9/vZtWtXu6zHk7FmzRpM0+SEE9Kl63l5eYwaNYqtW7eybNkyQJAlwzDiZCn2f0tompZ2Lv/f//t/gIjq7S+eeeYZvvjiC0aOHMnbb7+domS46667GDVqFMuXL+eZZ56J90FVVWbNmoUsy9xwww2ttjty5EgAvvnmG0Dcky2jSiAiLjEThNWrRU77CSecQGZmJt27d4874hmGQV1dXdr2tbW1vPvuu/Ts2ZNvvvmGzz77jKeffpoZM2bw5Zdf8thjj3HCCSewfPlybrzxRs4991xeeumlPRovfPvtt5x55pncfffdrF+/njPOOIPrrrsOj8fDnXfeyXXXXUdxcXH8fGialmLlvq9YtmwZ1157bTyKFoOmaTz8sCjT8pe//IWTTz65zfvjQGCfZHgul4sHHniAXr16pSx3u93xZLWfIzTDxBOdgcywKXH5R6tQ3WKQbOpisBtpBHuXJCKjR+v4JKHTBVC3VOSSHDNjz1bN/aYII4QdD6dHAloOtg8kjFDCmU9WBJmLGQr4dkLTKuh5ddzu3DRUCLSt1wVEpKpiXuLvuo+h8xiwJM1KG2Ex2yhboo55fsABwTLMjJ5IcpLtbbhW5HwlQ1LSZWaxgVfmABhwD9QuEZbi+b+Cpq8S63W5GHpH5Y+SXRRuPXEurJ+cWEfOhKP/krB0T0afm9KXAWT2gVM/FGTOE82rCZaAqWFqfqQYyUuuxWXqECoXJhQNn8Lpn0PZK623b++ekEpqPnB0TpCuwvOhag8vB9NMXOdQbWJ5+b/hmFbqQx0mfP3118ycOZP6+np69OjBoEGD4v+OOeYYbLY92yFnZGSkDVhCoVDaw9Rms3HuuefGX4K33347c+fOpaioKKW+x0+FahjxyAnAyq0NzPks3Qznzt8O4L1vq9Lka1PG9CPDbokPOLvlZ3Bcrxw2lXmY96V43vxt4Xbm/lEQ9bCqx9cNawaeoIrdaiGim9R7QvQuFPegaZp8s6ORsGbw68EdmXxWasJ0rL0YBnTOJD/biqobjDwqn5BqcFJfIfNzWGV6FmTgdCgUZNsIqzpZdoXKpiCKRdxzwYhOfpaN+8cfzSNJMr4Pfqhm3HAh7dF0k6eXJOR/L39awsCuWfz9v9u5fFRP/vu9kKY++UFinSt/1ZMtFV7WFrkYe0pXTNPkg9U1nDawA13zM9hc5mFHUl7qqGMLMEwTRYaIbqBYJHRdwhvU6Nspk9W7Xdw9L1FL7dH3tnPekE5ccFIXZn1chKab3HJ+PzpkWtEMg6JaH5pu8sWm+jhZKcyxUe+J4A/rvPp5KRcO60J1c4gH3kp9ro8+vpDLRnTn5ej9sHxzA2cdV0jvQicgpeU3abrB7lo//pCOYpFYtr6WXoVOcjIUPtmQKKw6dexAuuU7uHPuRv73QzUfr69NydV67cty/nl1HroJBkK+Z7UIu/GIZmK3WvCHDXbV+MlyWMjLstHkVXEFVEwDrIrM7hofFlmirCGIFq0NZpElAhFx7Q+ktf2BwtChQ9td4mRvUYkj7TkTg6ZpLF++nE6dOjF48GAAjjvuOHJycli5ciWmabJ161ZKSkoYM2YMmZmtR4pvvfVWFi1axPPPP8+4cePi68VyTSorK2loaKBTp05kZe05RSAQCLBhg1CBtEaWQES4li9fzvbt28nJyYnn+sQiDXl5edTV1WG1pk7iZmZmCpOaJIXTmWeeSdeuXfnf//7Hn//85zb7Z5omDQ0NaVbWH374IS+++CK9evXiySefTHPOUxSFJ598kgkTJjB79mxmz56d8v3YsWPTDChiGDlyJP/85z9ZtWoVF110UbzeUmtSQb/fj2EYrF0r3JKHDBkCCIni8uXLaW5uTpFQJuOVV15BVVVuvPHGNHtyh8PBxRdfzMUXX8yWLVuYP38+ixcv5p///CfPPfccs2bNipO6GJqampg6dSo+n4/rr7+eSZMm0bNnTwAmTZrEww8/zMqVKzn//PNTtsvMzOSBBx7gkksuabWfbWHZsmX86U9/Qtd1rr766pR6q6+//jo7duxgwoQJDB06dJ/a3R/sE1kaOXIkRUVFaWQpNzeXESNGHNCOHUoEojNkABk2GWVPumojErXCVkANiihLpC5R18bQhLW0s1+CTPS6RpAl3bvnZPoRn4p6OlnHiDyZlqQq0ozpL0bK7Nv69vsJM9IkBu6qC5CEU1+MKBlqgjzkDBa1n2ID9eSoRo/fJ4hR1wlQ/S78cHHqjmoWCQKTlTSzrPkTxxktGivc8mTxXXRQLIwcVPBtBN8W6JTQg8eLysYg26JmFQZ0GgNdRDIk7vUJstR3CnSfFN2vIdaVLIIwxTDwfrDnQeZYcf06XyiOOesYQfjshYLkmNF6RUqmaMvQwBo9f9nRfKjq9yBvuDi+nBPFuuuvh6YVoi9dLxVtN3wq1v/67NRjOuZvgixb8wSxNFXIOlpIDyONiXOYdXTSNo8kopMx+LZC5kCxvjdJ9tiWZPEw4f7776d///5cd911VFZWsnXrVl566SWqqqpQFCVexbwt9OvXj9dffz1lWXFxcZp0r2/fvni9iaiOyNkwD7jdc7KjW6M3kkaURh1TwLD+eZzQO5cTeudimCabyjwM7pmTkrMSyymJaAaXDu/GprLUmd1vdzRxfO8cFFniz69tpEueg6njBiInDQ6bfCqq5qNTrp16T5i6qPyuY3YqATVNE1U3sCmJF3j3AlE3aUBnJ7tq/Fx4UhcybDJNfpW+hU6cjsQzy24VtX7KGgJRMxMz6rqn06ezk7l/HMazS3ezpsjFf7+v5r/fV3N8rxxK6wNEtNTzHyMuz3+UPkFz6WndOOeETpxzQicCYR2HVcIwRURMmB0YjD6ukD++8iMg8q1M0ySsGhzbPZvShgD9O2cSihjUukP06dS61GfZj3Us+zFBRu76z0YmnNaN0ccXEgjr1HvCfLA6IaU8f2jnOJH97/eCDK4vSXfg+mxjfTyPKoaHFohBusMqc9/4o+me7yDTYUU3THbW+NB1cNotvP11BUvX1qa1+fhVx1GYY0fVDTJsMsGIESdKA7tmsrPaT6NX1GcR91fi/li928WPpW6uOrO3kIpGNCI+g0DEwKrIceILIqJlU2RCEQPdNAmrOrf9W0wQDe2bS+9CJ7XuMF1y7biDGsP759GrsPWB+aFCcvHTn4oj7TkTw/r163G5XEyaNClODC0WC6eddhrLli2jrKwsbjCwJzlzx44dufbaa3nuued444030iIlFosFTdMoKyvD6XTSvXv3NCITg8fjYfPmzUCCLBmGgWEY8Wjc6NGj458HDhyIJEkp7VmtVmw2W8p50zSNHj16EIlEqKmpiRMei8XCZZddxr/+9S+WLFkSjzQlo6ysLD7A79WrF5dffjmXXHIJtbW1TJs2DafTyQsvvBDP8WqJ3NxcZs+ezVNPPZVyfR0Oxx4NPI499lg6dOjAqlWr4vWw2oIsyzQ2NrJ+/XqcTmdcgjdgwACWL1/Orl27OOWUU9K2a2xsZMGCBXTt2pVx48a12T7AoEGDeOSRR7j77rv573//y+OPP84dd9zBO++8Eyd8pmkyY8YM6uvrmTp1Kn/4wx9S2ujVqxdz5szho48+YuHChSmRvk2bNnHvvfeyY8cOpk6d2q78sS+++II777wTu93O+PHjmTdvXpww2Ww2nnnmGfLy8rjrrkNjULVPZGn69Oncfffd9OzZM02n+3NGrSsYl6Zk2hXamgwzTTPVkS4m99I8oBliIKu5hLGAoyscPUOQH0c3ITvbU0K9NT9auDQKR3cRlTBU4TAH4n/N12oBsv2FaRoQLBMRs++iuuXh/xP21CCMC2LY9Cc4/jlBmvRAopbRCbMFQamYJ0hiRhs5Nd5NgniN/DIxuNf8CWc32Z4o2mvJEOTNFp0xMTRBTLY/IPKd/Luh7y3iu5bW131uFiRCdoh+xZDsWtct+uA0I6K8VGZ/UVtJyYLulwuTjY5nAbIgRYMeT9igJ0MPin1YcwXZM1Uh3YtFGpOLw269F077RBhAKDmCKAEUPwtdLmldZunoCcNeb0GcRT0rKUPMxJuNKxNfdTxbRLE6XyTuuw4joPmbxPc//gEKzgL/LnF+O5wGA6ZBh/SH7eHET41ijxgxgkgkwrx585g0aRLvv/8+DQ0NcSlKDJdccglTp05l3LhxDBkyhKeffprevXsf8NleIamTKK0P8NInxSnf/eP3x9EpNyHp1HQxy39C71xaIjbgtSkyw4/qwOWjemCRJVTdZMGqCl5cJtrOyVDwBDXqPRG+3d5IRVOIE/vk0b9LJnZFpt4bJhi1395YKn7HA7qKmdcYkbAqEh2z7XEbbd0QgzuLBFkZCoN6ZrOz2o/daqF7B0uKiUEy+nbOJMuuUNYQoHOenQZPJO4qN+WC/kx+LlE7ZGMS+bv1/H58s6OJtUXpuXXd8h1URU0ozh5cGD1vBhYZDBPys2y4AxqqbtAxx0adO8ycW4ZiiToMqppBToaCTZHJz7ShWGSyMmQyHZlpNfYGdMlMkfAl491vq9hZ7eeO3w6IG150zrUztG8eZxzbkYFds3gwGkl64K0trdqgJ+OOiwbw1OJExCykGjz/URGDeuaQ6bASjuj4gho2ReaZJUUp5yu5jcIcO5pu4lBkplzQn38sSuTQjDi6IO5OeM3za8nPsvLQxGN55+tKyhuDlEajmk67wqSRPciwiWdPIKzFi/VWNAbJzlDIdYp3k26K6Fx1Un7WumI364pTyeHnG+u5+NTUHI5DjeHDh7drvbKyvUs8j7TnTAyfffYZkJDgxXD66aezbNkyVq5cydKlS8nOzo7bireFyZMn8+qrrzJv3jwmT57calRfURQikQi7d++msLCQgoKCtHWCwSAbNmygsLCQjh07kpGRQU5ODtnZ2ciyzO7du1EUhbPOOosPP/wwfm7s9tTnSkZGRoo1tMPhwOl0kpGRkWZvPmHCBJ5//nneeustJk6cGB83RSIR5syZw6xZs4hEIgwaNIjdu3fz2GOP8dRTT+F0OgkGgzz//PNxk4m20K9fP5599tk9rtMSsiwzYsQIli5dSlFR0R7H05IkUVFRQVFREaecckqcaMT6tXPnzlbJ0quvvkooFOIPf/jDXpUYMeTk5HD11VeTlZXF9OnTueWWW1iwYAFZWVm8//77fPzxx5x88slce+21bfZ1zJgxjBkzJmV5cXExN998M//+97/ZtWsXTz755B7NIFasWMGUKVOwWCy89NJLnHLKKXTp0oXHH3+cq6++mn79+hEIBJg2bVpaxOxgYZ/IUnl5OQ0NDYwdO5aTTjqJk046KS6NiYXifo6wyBJroi9kp11u032IcI0gQ3KLmUclyS43ZuJg75xI/odoLlIbVoaOnjD48RbLuom8n3BtKvkwQuDdiJl9/IEhTEZEEJaG5YllW++FIS9D/aeCmCSj+Fk44UVhRqC5RZQi5iY38H7I7BuvGRTHCbNT3f7KX4Ne0R9bio26RZxjJPE50ohp74ykOAWBqngj0Z/KNwRZaq1eUvYxUbdBU5z3mExPkmHIHEQUSRKET3WD4gRbfsKJru8fE21ZolboanOCQCZDksQ5tOWLvB9DBasN9CjxMU0oPA/qlyWOUW0WtaGSsel2GDgtvX3M9AijNTfVnMEIi/vC4hQEsXfS7N/gJ4S5QzIak3KhMnomCOkRhJ8axbbZbLz88svMmDGDJ598kt69ezNr1iycTifXX389J598MjfddBOjR49mxowZPPDAA9TU1DB48GBeeOGFAzYZEUODJ8wrn5WxtTIx+zjrhhPJaJHHoRtCGtYWLDL0KHCSYbOgWCTOPq4jVsWCbgiyFENynaBZy0oA+GB1DXP/OAxZlshzWuNSqx92N9Mh08rArlnRWkvCgc5pE7K/WncYRYawZuKwytgUGUkS+UOdc21ENINu+W1rxXMyxIC6R0EGikWmZ0eFHVVe9uZqPqRPLqcM6MAzS3alDbrvuGgAEc2ge754FnuDGjkZClkZMvmZVnKcNlx+D5pm0DXPgS+ooelG/LrKskTvQieyLFGYRFQlSaJf5yzemTqcBasqOblfHl06OCiu9bPwu6q0SB7Aj6Vu3lxRji8kiNDtF/anW34GEU2nawcHx3TPYlulj/IGkQNjU2Qeu3IwdW5BWH/Y2Yw7oDFueNdWjTO8QQ1vQMXrULj79U0MH9iBnVX+NKLksMr89fJBFEZJq6obdM7NYPiADsy+8UR2VPmocYX59aCO6LrJGytE1KvJp3L7v9PNdT5aV8sFJ3WOX7+Yk12jN8L9b4oJixFH5/OHc/rEv/uiRYSsJSaNPLxEqSW2b9/OzJkz2bVrVzy5PSbnCgaDe5XhHQnPGZ/Pxy233IKu6wwZMoTjjz+ezz//nIyMDE477bT4eoZhxGVVr7zyCtXV1Vx66aXxgbSqqnHLaqvVSjgcRpZlsrOzGT9+PK+99hofffRR3La6NciyTF1dHW63m9zc3JTji9lCjx49GtM06d69e4rszel04vV6ueyyy/jwww/jBKBlon5mZiZ+vzCF0XWdLl1EfUFJksjOzk4pxtq5c2fOPvtsPvnkE6666qp4lKq0tJSKigoKCwuZPn06Y8aMwe12s2jRIt58801KSkqYMmUK55xzzn5dk5aISeySz8fpp5/O0qVLWbVq1V6DD+vXr0/J9dI0LR5hiuUtJcPlcvHGG29QWFjI+PHj97m/48ePZ+vWrcybN4977rmHadOm8de//hWn08nf//73fXYW7Nu3L2+//TZ33nknX331FRMnTmTWrFlxSV0yvvzyS6ZMmYIkScyaNSt+H1x//fVEIhGeeeYZKisrGTJkCBMmTNjnY9tf7BNZuu++++jcuTOXX345VVVVrF27lvnz5+P1esnJyeH7778/WP08qKhLcoHKtCtpDzDTXwQZvQQJaM3wIBmxpPmYcUAMGT3aJktDX02NKoFwSAMofblFLokuIiBZx4JkxQzVgr0jUkt773bANCKiEK5ppOYfebeIgqat5SQFK0QkRvOJqIqSNPvdOTqb4Egizl3GiShNMqreTZCl5m9FH/rckojcGBFBxCwZwjo7q78gNskudjGo0UTEDiPB2RtyhwpykXO8IEnJREMPCBlgLFJnquCMXldkYc9uSiIyGIOkiIiXpS3piAw5g0RNKSMool+yFeL1fcPQ/y5BlmyFgnhJgHdlajPeja2f7+xjE59NEzAEOU+JcBaI82WoSbWwktDvDhHt2vGX9O9iRXePMByIKPYxxxzTanLvnDlzUv4eN27cXmUKPwW6bvDE/3bFbapjaEmUQOT0dM93pLi4gRj4AvTs6CQvMzFLGNFMrIqY8Ll4eFcWfZ+og5LrVNLa+Xp7I6cfXRAlOxL1njBh1WBon1wkIMtuIaQaFObYMEyTPKeV5gxF5K+EVLp1yMAbTrTZMccez/cMYwrvAAAgAElEQVTcG5IdRm0WGV9YWFj/7fJB3PfmFo7ulsXArll4ghr9OjmxKTJuv8rlI3uQl2mlb6dM/v25kC8WZNlS8mEKc2yASc8CZ3yy66huWQQiujA/sFmIaCICF4podMvPaNPxFCDHoXDBSZ3j8sW+nTO567cDWLq2luN752CaIkcsZsLxcVSeN6hHNt3yMzAMM36dfntyF7ZVJgY0DqtMhywbGTYLA7pkcVzPnHhfIprBQxOP4ZnFIpnZHVTxh3VqXCFWbGtMi9ZIwGMtIpMAwYhG51wHikWiIDuDJp/K8b1zOb63cGY8Y1ABZQ0BVmxtO5Eb4LZXNnD28YV0yrFz/lDxTiuqTQxGv9neRCCkc/moHhTXBfh2p3j/ndA7hw3RiKVNkePn6aKTuuxxf4caDz/8MIZhMGXKFP72t79xzz33UFlZyRtvvMHMmTPb1cbhfs643W4++OADXC4X8+fPjy8/99xz41EZVVWRZZlevXrRo0ePeA2amARPVVX69euXYlbR2NgYNw246qqrmDdvHnPnzuW3v/3tHkleTJrX0iQgWYJntVrTHM9ycnJobm5m5MiRrFixgsLCQlRVTcunys3NpaqqCqvViqIo5OQkJqvz8/Nxu90psrZrrrmGL7/8MmV8qigKv//977n99tvjEY68vDwmT57MVVddRVVV1U+y026JrKws8vPzKSsri/ctRly//vprrrrqqj1u31K+aLVa6dOnD5IkpTkvgpCaBgIBbrvttv12hbvnnnvYsWMHn376KWvWrMHn8/Hoo4/ud2AkJyeH2bNn8/jjj/Pqq68yceJEnn76aU4//XRATFLMnTuXf/zjHyiKwnPPPRf/LoZbbrkF0zR5++23efjhhw+qm2RL7BNZamho4OWXX05jgyUlJT9rgwd/tPL8eUM64Q2lyiRMQ4taakuCKEl7GRiEo/rxlmSpy8WCGMRgyUjYabckSslo+BTMGYAeHfhbwdoRND+m5hakxZqHGSpGyhywt0NNRbSoLrIDvC2qibccuA99DXY/CZ71Qtblij54wq1U9ZYVOOkNQRxzo4l3xz8PO/4G4SoxsDd1EWWJ5XB1GAF5w6JFe0k45wXLMU0Vwi2L4UmCiNRGq6w7e0HfW2MdQLLmgjVXkMl4v+zRPKuYrNEhSKnsRJIkzKxjxPULRa+LqYvAjmzFVLJENCe5zpVpiNwkSzTyZc1POAjqfkGwdJ8gT9mDEnWQJJuQwQEc96yoEQUipwog92RRqBZgwN2J/el+QbaUbBHJiiH7WBHp824SckW5xc+6W3T2Zdc/RAQqGR1b5EYdIfj/UxT78f/tTCNKZx2XyI0LhEWNnCyHlU65dpw2C3VuYR2tWCQ8QZUuuQ68YS2FKAF0z8+gyRdBMwzOG9KJsad05b75W6huDvGnCwekWGUDvPRJCblOK4N7igFGRdROvHtBBhl2C706Oql1hSjMdcTlvv27ZGEYJrUuyHZayXYmJowkSSI3cy8TSK2gW76DoroAYdWgW74jzUgihhyngqbLXP3r3oQiOkvX1nBsj2xkWcwdhFWdLh0cdMlzpMmTFYtMToacOE/+CFVNIRSLTMc26k3FkOlQ0A0T2SIRVnWsFhlZlrhwmBjsh1Wdl24ayrIfa5m/IjEJdstv+hHRhCX4gK5Z2BRhemFXLDz74W7cAY3fn9kzaqJg4LQLwhzRdGRJxjBMCnPsPH2tGBT9b3U1731bxb1vpL9fM2wys25IT2w2TZOcDKs4J4gomkWK1j8COubayc1QuOas3lw3ug//+6Ga976rSmnj1vP78dryMrwhjc+j0aKP19dG3flS34E/lrr5sTRB4Pp3zuS2CwZQ5w7RtYMD3YBvtguLZJv1yKqztHnzZt58800GDRrEf//7XwYOHMjvfvc7evbsybvvvsvFF1+890YOM7p3705lZSWLFi1i27ZtbNy4kZKSkpQBuN1uj0eLRo4cyYIFCygoKODUU08FBHlo6epXUFCAz+cjHA7Ts2dPzjnnHD755BPWrFkTrxe1L4iZOwwZMiRNWgciYhT7/Xbq1AmI5sS1kJDJsozD4UBV1fh6MWRkZGCz2VLc14YNG8a6detSlsmy3GaekCzLB5Qo6bpOfn4+WVlZFBYW0tjYiCzLdOvWjT59+vDdd9+hqmqbuV5AmjFGTk4OpmnSo0ePtMiS1+tl3rx5dOjQodU8rfbCarXy9NNPM2HCBCorKznnnHPiNav2FxaLhXvvvZejjjqKBx98kOuvv557772XSZMm8dBDD/Hee+9RWFjI888/HzeyaIlbb72VW265JeVZr+v6XnO/fir26cl16qmntloVt0+fPlxwwQUHrFOHGv4oQcqwWch1tjjZoWrAEBEMaQ/2h4YqcoxiZMmW+iOm4AzhtJY3XLjnDXsbTlkEwxe33l6XpFD3lj/DqjPFQFiSEm51wUqR56I2pzqbAWaSzMvUWxSHjUFzC0mhd3Nqsn9LZA0SksIY8fGsE2YNAM6o2URyvo1kFfbZuUkv8twT4ZR3EEwIKHomdR8tSVcsymRxCpLiT7WNBBP8RcKlD6Dzb5O2TZqxl22C9ECq5M/UBPm0ZMUJkCTJguAYWsLEwpnkZmPq0VwtX5TMySKKJlmQHF2EdNKWHyXVVrFO1iDI6C2MI0wNfNtE36sXRs/tQPE9CFMMgH63QY8r4cRXU93/YsclW0Vf44vtSLZcEU2ztyIVjKH/VCG7i2HQEyK37gjEfffdR0FBAffccw+DBw9m7dq13H///Zx77rntzjk4UpAc7Rna9/9j77vj4yjPrc87dfuuumRVyxLIttxtDNjgEONQYuALAcIlpvdQPorphJhc06uTcM1nmjFwgQRzY0JuuORiAoEETAvuxsa9SZZk9a0z7/fHM7Ozq11JK1tlBXt+P/20Ozvlndnd2ee8z3nO48U1J1di3vFl4JyjMxiBwBjKch3UxNMmwWmTkOelZqQ2I/vQXaPsHLeCiKZTcJxlg8AY5p9ejfmnV2NkgTUj+7Nji6Ml/I+s2Iz31tQjoulY9Gf6XpXm2OFURIgCwwhD2hb7YyQIDEXZqfU4SQWKLCLHpSAQiiS4vZkIR3TkeVQwY+SqLOBX59Tgwh+Uw6lKcBuExqyb6Wm2WxAYsp0KNI322ZtLmyQKcCgiQhEdTlWCpuvgnCMQ1hAMk+ObrnPMHpeP0cU0M33/eWPgslPN67gyL2TDCIExhgkVXiy6ZAKWXjsFk0ZmIcejYFShE4LA4FBF2GQJkgDUlnlQluuI1qZNr0oukVVlAXeceWTcMrMZcVjjKM2xE0kyztOuirArImyyiCKfDV6n1SD29GlF+N2lE/DcLybj2asn496fjcaUSi/mnxFfq3GwIxxHlC4/sSLp2O448whIIn2OGGOQRIbjxuRi5uge7k1DBEEQ4PWSOmLkyJHRSd/jjz8+2utnOMBut2PChAmYN28eHnroIbz++utx90mzpgewLMRPOeWUaHDZXf+i2Impiy66CACwdOnSQxqjGfDX1tZ2W0OTzEUw2ffa4aAJzmQucLGZJhOSJEFRlOjf4QTVuq5HJYCpQJblqBNfXl4eHA5H1KBi5syZ6OzsxNdff93jPsxar8LCQoTDYWRlZUGWZVRVVaGpqQlNTU3RdV988UW0trbi4osvPmwr7ezsbDz77LO47LLLsHDhwn6Tp5955plYtmwZsrKycN999+HEE0/Em2++idraWixfvrxbomSi6zgURUFubm7K78mhoE9k6ZRTTsFvfvMb7N27t/eVhxE6QvQDYFOExIAkVEdBr2DvuaHe9sXA6quA3YYzTmxmiWtG4FwN1D4BTH2Dgmo1r/t6ETXPIgBmgb5/u/V6pI00GJqf3NAEGTzcCt6xg76I/hhS608sVOWRdkNWyOLtvWNJh4mJz9D/vDn0vz1mJmOU6UQiWu54gpqY3TBR8m/0f99ykvuZ6GrSYEKQiAiuiWn0OuoW+r/zBaBzG+CZEE9qYo0YBJtF5CQfGWcA9H7YisEkG11rE5LLsGg3bNpNGZ+9jJbbK2j/WgcgymCKD8w4V6ZkgSnZZPRhK4zJPDmtRrKbFgB7Xo85ntvqxWSO0VFJJhWumOJfrhEx5TyOKMWCyR5EyWgyFJwCTHkNGL+YMlZZ07tfd4jR0NCAhQsX4oILLsDtt9+Ol156CZ999hneeecdLFiwYKiHlzKa2i2J7w1zq/B/f1yFaVVZYKD+RrIo4MhiN/K9NthlAW67BEkUMCLLjnHlHlQVOpHvVVHgU5HvTSRLsiQg36uiONsGt01CRNOR41ZQW0YBwx0/ORJzpxTipEkF+I8rLMfDlz7YhcsWW/3JSnLskHsqlhoAeB0Sxld4uz2uQxWR7VLABMqKRHQOhyKBcw5FEuCyiajIdyaVMyaDIDCMLfUkSNa6gyIJkEWGinwKzDqDWrStRHmuAy3+MCKajptOr8LSa6eQ/I5zFGdTli72B908x45ABIrMUJrjQI6R3arIc0KVGapHuCGJArJdMkyFYEmOHcfFkAzJkFs+fcVElOVagVBE0xE2AgWRERmNhSoJKM9zoLrIFR2LzyVHgzaXXYIoELEpz3MgogNFWTbYuskEXTGnAjNqcvD8LybHrTOl0pdU3qj3VqA2RKitrcXvf/97ACSn+/vfyXTn22+/HVSJz0AiEonA6/XC6/UiHA7jxBNPxAMPPBDn1tYdWTKzLJqmYcqUKaitrcX//u//pmR+EQtd17FmzRpUVlbC7XYnzSwBJFeLdbrrjlS53W74fL6kwXtOTs6A9a/SdR25ubmoqqpKSsq6gnOesF5paWm05seUmX388cfR19etW4cHHngAy5Ytw1dffYWdO3eirq4O48ZRnbqqqlAUBbIsx5k8ACSdfO6555CdnY2f//zn/XLOlZWVuOWWW7q1Jz9UTJ48GW+88QbGjBmDuro6zJ07F6+88goKCgp637gL7HY78vPzkZeXN2CEqU/0+rbbbgMAnHrqqZgxYwYmTZqEsWPHYsyYMdHZmeGIbXUkR7PJIsSYGz03baAF0sNHpWHJENdAVADUGAvqaAGL8cXviZ1zjYJywRYvtQKApn9QzQ0Q3xA1WGc48bUCof3Ud0eLcc0zpFe8cxeYoxQ83ErES+ugYN0kY6MftDJGAB1rXIzLi9nktTWmCaxptS3aLVMDUUk0JdAD1Mso/1SLUMY67R34KxGvZE1gwzHaZ894IO9E4NtHgIPGDcasEzOzRbHHFlXDkpwTMQ0bchHRGXWTi8vSMAHceQT1PJJkK5sjuYjwCIbhg+Yn2V0SMMkOrnsBvsfIbIWBnB8Ae/6TMoLbf2ddM8BqrgsAoxcm/3wYckvYe/kRMN/vZLVLJjzj450B0xBmFrur5LeioiJpUWi6Yo8hc/vRhHxMrLDukcGwhtElnjgJW/WI+M9+qrN4hVn0OTKD1I5ABE6bhI5ABCU5NlQVOSEYdTunTS2Ms7cGyO3N55ThVAe3aagZ0EsiNc41x6/rHDrnyHZRBqgiz4mm9qBRnyWgpTOMHLfSY81Rb8dMBUVZJO2TRAE2WUBxth0eh4ytdR1w2SWU5TpQ3xyEQyWDDXPsXkeinMbnkHGgJQhZZpC6ZLXIbMK6B0gi2XOHIzp8ThXnHFuCxrYQTqjNw5gSN1RZiPts6DoHBzCqwIWtdR1QkxCc4pzEGWanKmJXWAfnNFEoMAZN52AgG/n9LQE8feUkcM5x8VPU4+WFayYnZBzv/OmR+MtXdbhgVhnsigidc+gaj7bg0HSOUFhPIJDpgPnz5+OKK66A1+vFT3/6Uzz77LOYPXs2GhsbB7V4fCDBGIvW/YiiCEEQ4uRU4XC4x8Df4XAgJycHTU1NuOiiizB//nwsW7YMd999d7fbdMW2bdvQ0dGB8ePHJ61DMuHz+bB///6oJK0nUtXdPkRRhMPhiOu5dLjQNA0ejwdFRUVREl1UVIRvvvmmR1JtkqtYMMZQVlaGLVu2YPr06RBFER9//DEuvfRSLFq0CC+//HLSJq6mBM88b0VRUFVF8aC5r8WLF6OzsxM333xzr32v0gFFRUV49dVXsWnTJowfP77b+0MygwwTmqZF685yc3PBGBuQhE6fyNKqVauwfv16bNiwAevXr8cf//hHPPHEE9B1HUVFRVi5cmW/D3Aw8PYXFDxENB6VJtCCdkSTb1wnIrP7ZZr9L4zpTRBupV5LJiRnF2OBIAAGSF1mSZIFtZE26pXTuT0xGG9bSzKunc8TsTCzV7qRBQk3A7oe47SmIy7jE24GUEpSMl0jwrX/T9b+s2eS05pZWzXx+XhJm9zlhlp5oxXY8zCdI49Y9UhcpyyMHjSkcBHKAHnGA61JZH+fnAwc+wEQOgA0f0F9jWLIHgA6Z8kFOEYBnYY0z7+TrgETrWMbYEwAz55J9UCik94LrgM9BVqSm85FyY5+OZkggTsqAb2TrpujMpHMxkKw0TWJGkQkSYdPfJ7+x8ok7RXJ96dkAaIK5ihL/nr0uGrPTY+7gmvxhhZpAjOLXVlZiREjRgz1cA4ZXxl9dWKzAACQ41EPqdanJzDGEAjpyHLLCIZ05LgUlOTasWlPGyIa1T/99Ohi/LA2D7/9y7fYakwSXXNyJVRZ7BOR6E/YZAFhTTesyY2vJke0rshpk9AeiEDnGnwOCYGQfkhEqa+IPUaBzw63nb5X1YbFuscuIcupoNUfRlNbCGGNI9slJ5X42RQReR4FHSEtpQzeiGw7WjrCEBlDoU/FjadVIcsho9UfgSoLCGvckC8yiALgVER4HDLcDglKitfGJovR7JnOOXSdwx/UYFMEuGwSbB30eWCM4cmLx0MSWFywEoroCEd0lOU6cOUcq/dfKKyjMEvF/oMB2BQJ/lAExdl2NLaFYJNTszAeLEyYMAErV66E3++H1+vFm2++iXfffRdZWVkJ9sfDFbGkwmazJZAISZK6JSUm8vPz0dTUhJNPPhmPPPIIli9fjuuuuy7lSfLYmptkdUgmRFGEzWaDpmnQdb3bjBfQ82SSSbr6KzsoSRKKi+OdHAVBQF5eHg4cONDtcVwuV9LXYuWAEyZMwL/+9S+ccsopqK+vR0VFBW6++Wb4/X6sWbMGa9euRX19PebMmROV4AH0XprmR5s3b8bOnTvx2muvoaysDOecc06/nHd30DQNoij2Sxsbm83Wo+xO13WUlJRgz549SV34OOdxxDAnJ2dAJmVSjqrC4TBeeOEFnHfeeXF2lMFgEBs3buzVYnM4QI826DMQrLcCb90PRPwktwOAxg8oGNaDVt2OCbELo2cSyb9C9fGBbFdnPR4C1DwwezF4uDnRqrrpY6tGxz0OKD2fHpuZiXAzSQUDOygLxHWqV4r4wbUwwEPgoWYiZHoAOPgZsOVB2tZWQsTEMx4Y+ziRgWQOe4U/Afb/Fz02x8cjAARAKQB40JC6CQAiABQia1lHGSYSnPb/zxhLzuwZ1nlpHWT64N9BxC3nOJIZRq+ZcZMd8zDwuWGJeeSvSZIo+4DAnvisG+imypU8Ik6ik85d7z5QZZINXHIkmHQwyQYeCQNMAFNzu9nagEjnzQQJHCpgT2KZq+TTtYmVLMbKMk2zBj0EuKpTcjxktkLwYH1izyYtAEBPQtq0ng1GhgjflSx2fQsR4dJc6xqHIjp8/UyUTBwxgkwFdjf54XXKkEQBiiygM6ghHOGwqxKyXAruOXs0mjvCqGsOIMulwJmilG0gMCLLju31HWjoDMGpSnCoIjz2eNLhslFPH0lkcKgDI7HpCSZRil9G76HOOXY1dEKVhAQDjljkeW3I1vSUyJLHLsMuixAEhpaOEOpbgvA4JEiSgI5ABJ3BiNFLKgynKqEin34DRuY5o85zvYExhiynDJssoK4liIjO4XNK8DplOFQRJTl27GzoNIwypAQS2BnS4O1yXTjnkCWGHJeCVn8E/qAOj0NBgdeGuuZg0us41HA6nVBVFX6/Hy6XK5p1CQQCPQbrwwFdA8lkGZdU3dIcDgcCgQDmzZuHxx57DDNnzkRNTQ3GjRuH8ePH40c/+lG3NTImWRo3bly3dUixx2lra4Ou691mj3qD1+tFW1sbOjo6+oUwdZd5y8nJwcGDB5NmgiKRSNJ+UyacTifa2towY8YMfPnllzh48CCuu+46XH755VHy2tU9kTEWfb8cDgfKysrAGMOWLVuwaNEihMNh3HjjjSn3VTpU2Gw2VFRUoL6+Hk1NTX22Ek8Vuq6jvLwcdrsdTU1NSbOFdrs94fM0EL2XUr5zybKM559/PiE1raoqJkyY0GtBVroiVh87oyY7niyFGqymppxbbmUAcPAf1uOuWZLcH1CAy0T6U3IpWA7uByIHDSLDLfOBaFAcBmzGm8xEq84FoLqc1pgiwB1PW2TJDID1kJHJsIPc4kJA6CARmHATHS+wkzJmgX3Ahtus/ckxAWiyWhbOiUzFSsZM0wItALgriYRwG5jkNK6r8fGSfJRpYSKtL9qBqtuALQ/R6yN+ZpGl5lVElAByz5v8ErD5/phjGtfHVkgOfVyj2h5uEAHJ2UUCaVxOh3EtRWMcQi/BqlIQrUWKg+l21wsYE8HdY+ixIIMzERj5f4FtscYWAr0npReRxLLi6vid6AFAcFHmUk7eQTwpRBttw43PFWcAjM9Z13saR/Ks1xDju5LFrmumrGiWU4auc2jG/UYeoMyIx5CAeexEisxjZbtEtHSGEQpr0QySzylHSZsoDp08ShAYcj0q3A4JbruMprZQdOwmnDbru1iSRFI2lHCqIoqz7fA5ZNh7kDKKAoMopB5UmKQq263CoVIDXY+Dob4lgCyXjIjGketWIAqWLE8wTEFSRYHPBoEBHUEN/rCGygJXlBR5HALcDgltnRHDuc96D3Sd44hCJ2RJwI4DfkgiSfjAOWpKPBAFBrssojOooTKf+ll5nXKfxjYY+Oc//4kFCxZg165dcbGAieE+CRyJRODzWb8dHo8HDQ0NcQYHqRJCp9MJv9+PCy64AAcPHsSnn36KDRs2YPXq1XjllVewaNEi3H333Zg9e3bCtqtXr4Ysy6ipqek1kDctxAVBOOQgnDGG0tJS1NfXo7Gx8bCC+Ugk0mPwXVhYGGcJbkJV1R4NFszzvPDCC8EYw49//ONeJeax5FGSJDidTpSWlmL16tUIBoMYO3YsTj755ITtdF2H1+tFIBBAKBRCJBKBJCW2yUkVpnNhQUEBsrOzsWfPHgQCgX6v8xs5cmSUOHo8Hhw4cCBhzIM1odGnaZ5p06Zhw4YNCenI4YyGmB5LjpgbOeec6lJMshRuA/a83PPOxj9NhgMFc42ePWFACwGOXKOWJuZN5hFAdFM2iAkUyIIhGs0ykRzoSuaRs5xtBPBFFxtIs0bHhOgwnNiM44SbiSRJbsttLtxCxKWru1zNv/d8bnonIDjis2ZKDtUhySo91iOUHYORzRFtRNgk+mJxQQQiYQA6kDPLIkvOGNelTQusx1ob8FmMdWvWMUDRT6zzjm36K8iGu527xwwMYwzcWZW8wWzsekpycsIEBdxenvS1hHVjmwkLKll4x5EljYizkgOM/w+LPEfaqdaKSXSusqdvfbRsJYB/FV0T52igbRO9bzaPVbNlIlqTlz61BN+lLPb2+g4IjAroIxpHIKRhbKknaV1JfyLWDMKUAIoCQ1N7CJoen0Gnupyhff+J5BFxM5uqDhcwZjkIDhRiSUa+10Y24JxDlg6PfJifg0KfipbOSEL2qCTbgdWtLSjOtuNAazAqTYzoHC67DEUSoOkd0DkzJOyWAx/Zpjui21TkpRfJBYAFCxagqqoKd9111yH3o0ln2O32uADWZrPFBZvhcDjlTL0pbbPZbNHMfzAYxKZNm/Duu+9i6dKl+MUvfoEf/vCHuPvuu6NxornO6NGjo/KznmAG4r1JA1NBfn4+VFXFvn37DjmQt9vtPdp6m/VTwaAlp9c0rcesEkDnaTb9veaaa3pcFyDS1tVkwXTEMw03brnllqTnadZbxe6rsbERzc3U3L4vpCkcDscRcLPn0759+9DS0tIvhEnXdVRVVcURUPPzF7ssEomkZLTRH+gTWTr11FPxxBNPoKysDEcccUTvGwwDvL/W6jge90OhdRCpqP8foOE9K/PRE1w1ZN8MWD12tBaASQZ5cBN54NyY9bcDoa3Ug6dzO7my2QzLcSYRiYrNNkg+INJsPd/wSwAaUHoxBd22Lg3/2jYBkoOC4VADNTMFA/4xK369o97qmTxondS8NNQUbzWt5ACiDDiPoC+baAU80XPQ22JkcTKgHaDxyF6g8gaSuskecto78Neer+/oBwFwymSJti6SRoFss2OvTzdg6uE1YmXSIQRGTKIeXTM+AL59Asg53qi9KgPArHPhGpB9NGUxmUCSSV8frbIFxXDjM5vUagBU43EXsmQvJiIupE8twXcli/3B2n3obN0LnWcbs+5AeZ4DjkEudDfva0VZtqhEL6KxKGELazxuomioMdiufMMR/V2zJUsicj2JnwFRYLCrIvK9KvY1B6BzHaLA4FDEaH1vvteGVn8YZTl2+EOWE1WBL558pJu5AwDU19fj6aefxsiRI3tfeRgimYzNbrdH5UyiKKZMSsx1YyVnqqpi/PjxGD9+PH7yk59gwYIFWLlyJT7++OOosUEkEkE4HMb48ePBOU8pE+B0OvtN2uX1eqEoSpQYmEglsDczMr1hxIgRaGpqgiRJ0YyYaTrQE0xpYypI1gtLURRUV1dj5cqVmDlzJo455piE7TRNS3CYkyQJBQUFyM/PR0NDQ1RKmArR6Y7wmmTscAmTruvIyclJyNQJgpAgIzWXDQb6dEZ33nknvv32W5x55pm49NJLsWTJEvzjH/9I+BAOJ5iymLOOKY6/mUeMBqDf/DqRKHmTN1CMk3aJdnKTk1zUIBWgDA+TQJKoMJijFCTFUilgVfNinNkEy5jBxFBn0pgAACAASURBVOj7KQtjNipt+pDG9vVlVL/TtU5F9lhBsH8v8OU84NO5Xfb5UM9ESQ/Tn70CALfIIGBI0sTkcjWA6p4QI90TJCJdJnkacTaRBgCovit+267B++T/pO0F1bDU7qIRZgJlXxyV3Z/LUEJ0GiYXAlB1C+CbBqgFYEyk99z86DERTLRTs1zZS/bmcu833VgwQSKrc9doQwrK6E+0Wz2nouOyU5+mNAtkzCz2cIZ750Isn3oRRmWHUJnvBBgFkEN1rRkjuZuuUzZJ5xzgYfhD2pCZO2SQ/qgpdoMxciXM9VBfr8qYHl4FXhXluQ7YFBHZvTT7TTfMmTMHH3zwwVAPY0DQNQNgIjbg7quEqafAdNSoUVi2bBkeeughlJaWgnMOzjlEUURFRQV+/OMfIxKJpFSHZNaR9RfsdjuKiori/kaOHJlUetkVqVhmy7KMgoIC5OTkICsrCx6PJ6X7vNvtTmkMQHLiK8syTjrpJEyaNAl33HFH0u08Hk+3xJMxhry8PFRXVyM/Px+CIPRqvd3TZ6CoqAgejydpDVeqEAQhwUHQRNfrNZjZ4MNyw3vrrbewaNGiYVdHEIvXP6Z+RNkuOd7SNdKSfINjV1LA3vA+/V9v9PyJDfa5blhMq4kEinOSqpnZCclFAbKrKv44oi3RQto7AZi0lB7v/xPQ3iWYbFkN+CZbz5kAdGwBIJAleJJ+S3G1SrHQwxb5krPI3MA7kRrB5syirJjWaWSrkoOJCrigGDVUIJmgWkjbdW7v0g9JJsmhaStefTcRVXMMJqETDUv19i3x7oKGq2C3xG2oIaqG9TwnkwomUyNbE3Ke0fjYOCd7Cb0HwUOzwGQS3dA451S/pChGD6kYt0Ddn2CGkS74LmSxBb0TqhDGtTNaYVdEHFGUHlauY0rdkASGNTtaIfk3oShndHytZgYZJIHPKcPrkODrYr7R1zqpdMJNN92E008/HW+99RZKSkoSAtxFixZ1s2X64Uc/+lHC+CVJwi233BKVeZ1//vn48MMPEYlEwBiDIAgQBAFHH300XnvtNQDAM888g/vuuy/pMb788ku0tLRg+/btuPzyy5Ous3DhQvz5z38GAJx11lloampCOBzG/PnzSToqy7jwwgtx7733AiD79jfeeCNhPxUVFfjb3/4GAFixYkVcX6hYfPTRRygpKcHBgwcxadKkpOvcf//9OO+88wAAc+fOxdq1a6OvmT2ZZs6ciV//+tfRa/Dqq6+CMRZHNJxOJ9atWwcA+OSTT3DuuecmPd7y5csxZQpNqldXVyMcDiesc8MNN+D666/Hvn37cM899+CTTz5JWGfMmDH43e9+h0gkgrfffhsPPPBA3Ou6rkPXdfzpT3+C0+nErl27cOGFF0ZfN683ACxevDjq8Dhz5kzs3r0bXfFv//ZvuOuuu9DQ0ID7778f//3f/x33OuccZWVl+Oc/qd3MX/7yF1x99dUJ+9E0Dc8++yxGjhyJjo4OnHbaaXH7YIyBc47rrrsuaqhy7bXXYt26dVF7exOzZ8/Gc889BwBYtmwZHn300ZgaTfr8yrIc7TX1xRdfRK99f6JPkaXH48HRRx897OsIYrG/mXSm2S4lWpzLw62U1Wn6KH5l7yQruMw9gf5P/wvQsRnwxbw5nGy5o+5rJpQswFNL9t+mZbijPLnVs5JDJgxdMygAEYjc2YlkqfPbeLKkh4CvLqTaKFuXRl9FZ9O+DRMC6H4q9gcncsM4IHnJic7opcQkJ9Uhjb6fAn+9o+eeUQARRIMwmuSAMxFRp7xYVFwNlF9J4xZtQNY0oHUtXSvJRdJIOduoGxphWKED5OiWHoFod2C2QnDJDRxcRVmzroXeog0IcUAmYskECZyxeJOPQzkuY/QZFBS6bkyi6yb7qDYqjeR3sbjzzjsBUKfv6dOnY/r06aitrcWYMWOSzpamIzp1JyUSA6+AsZ9CHRgDvD7DJpPl64Ts7dhT14YstRnA8LimGQwtGGOwp+ct45Bw1113RfveDHfnu67oLrNhLj8U2+dDdafrbUyHu+7hQJKkpE1szazYQEIQhJQ+d7IsJ820maSjp/33FS6XCy6Xq9vrn8o1EUUR5eXlcLvd6OjoiI6RMRY1ljCJXixMAt8dGGOH9fk9HDCeag6wH7F+/Xrcc8892LJlC8rLy3Hvvfdi4sSJ3a7/xhtv4JFHHsGnn37a4353796N2bNn47333kNJSWpB5r89sQrb6jux9NopyHUryPWo4Ae/oFn9f54Qv3L2DLKs7g16CPBNBusmEOWtqwHRBeasBNcjAPSk6/LWtYlSPHP/epiayW76lbW88AxLogeQE96quYnbA8DMLtJCrYOyRIH9VlbMXko9j1w1YIaUjndsJ9MIHgLUEkAPJGbFYs8h0klSr5gPNeca2Zab56yHeg/aeYTWc9eCKT7wYIOVneIRwDct7aRkycDbNlEdkuQCc9dYyyOd1N8q6+hoVqjfjqkFgcBuMOco8JavyV5dziG3vexjuv2cDiVaW1uxfv36aCZ7w4YN2LZtW1pksVO9zxxc+yR82w1pxCnNQOdWMPfoQRpl9+DNnxnmMq3oCOlwSn4g5wfD4vuTwdCB6yEg0gkE9oB5xsa/NsiBS39hwoQJePnllzFu3LjeVx4CpHqv4Zxj/fr10SxCJBJBWVlZt41Jt23bhmAwiJqamqSv94Tt27cfcsNXh8ORcmw2mNA0DXv37kV7e3uUDAiCEG36OpCoq6tDS0s3SiZQ9ig/Pz+pI5+u69iwYUNSAwpN01BVVdWjOUVPaGtrw65du+Jqh1RVRXl5agZXXfelKEoC4WtsbER9fT1EUez1Mxu7TUNDAwDgyCOP7PNYDhV9yiw1NDTgsccew9atW5Gfn4+amppo75P8/PyU9hEMBnHVVVfhqquuwtlnn40VK1bg2muvxcqVK5MWje3atQsPPvjggDH8jqBGtr6cQ5EYONfJmKFr/Q9A8rFU0ZN7mXtcXLPT7vchAbwzSeaJU2Yi70SynG5dQ3KtYB29vH8FydlqkqTS7RVAeZf0OQ8BtjIyG3BU0j5FO5ijDJyHokQJgNUTiAOwFxnSsp5OITHwZ0xEHEPnEYDLPWepuE6ucKZLnegkwiiqgJSaPjgtYC8Gmr9KtAIXJEAP9jtRAgAmquCOCuM4duqDFWmnLGcKNuhDge9CFttXczlgkqW2jYDWBq6HhpSc8kgHOXRG6gHJBacNgBamxsjSd88NLIPDB/fvBbOPoEbhnAPg4J07wBwUNPFQIxBqpHuMHgKT0jvLH4uKiopDDvzTFaYTW09Bp8PhOCzb6EO9Zv1Zh9SfEEURpaWlCIVC2LdvHzo6Onp1s+sv+Hw+NDQ0dEtqBEHotm5KEIQEIwQTbrf7kImSuX2soULXnl193Vcy5OTkQNM0NDY2wuFwpLR/0xUvFQON/kSfyNIvf/lL7N27F6eddhqefPJJfPPNN/jtb38LxhhycnLw0Ucf9bqPTz75BIIgRPWjZ511Fl588UW8//77OOmkk+LW1TQNt956K8455xwsX768L0NNGf6QBrdNgq5zSIJAQQPXgI5t1kquMUD7esCfqPFMANcts4FukPJNSrSRDE6U4m3CmWF0wCPAkffQso9mUGbi2yeAfYb+d9cL8fvLmgGMTZYZEwHRZki2VMryuIw6ka4yMNEN8L1UZ2X2kToUqAVA+CA9lryU2WK9BJH2GMciUaHMCPQe66bSDkwGoCWSTCaSzHOgDmu+T4II2EcBnTvBerFPH0okm5ipra3F6NGjh40bHpOcCGWdAPng+yR9lFSg4QPw3BOGpLaOB/YbTZslgMVIPwQ7TRClCVkarlmKwQQ37h+M9Y8rHucaoAXiJ8ZMdGwmCTGTLPlwYD+4rZg+xx1bLXVApC1qAsRDTSRHT7bPNMHVV1+N22+/HfPmzUNJSUlC4Dlr1qxutkxPcM7hcDgS3M+6oi/GAl3h9XpRX1/f50Bc07S0lzoqioLy8nIEAoHDIhp9gaqqUBQl6fvBOUdWVlaP90NFURJqoiKRSK+fgVRQWFiIrVu3RqWKAyGBz8/Ph67rKe9bFEU4HI7DloT2FX36xf7888+xZMkSTJo0CU899RSeffZZ7N+/H3feeSd+9rOf9b4DUPp31KhRcctGjhyJzZs3J5ClJUuWoLq6GrNmzRowshQIach1K9A5IEkC2S2LTmDtdbTCkfcCLV8SWeKJRXoJiLQD7n5KDUo+QA3TD5AWoNodQSLnPM6BUH3iNvtiCiUbP4x/zVZgNDq1GVIwo8+TeyyYWdPEJLIhlynly8Qu9q+KF7xTBXCY6k3T+EKPAPZ8ICwa5CcJtIBhimHNOjAmgtuLiXCJ6X0DjoOg0HVPaJwrWA13BxKSj8aQBnKwnvDLX/4Se/bswemnn37IEzPpANlRBBwESVfFYrq3tK2jQDNJ8+T+Ag+3RF04uX8XfedDBwzbfeP7wnXDjEZKLvcdRPBIgOokBQUI1AH2EUM6nr6Ch1sA0QHWW7PrQ91/DIHk4VbKwkf84LIPEMS+9WFLhmADtZfoKq/z76OJuba1XcxgGKB1gOtGbzjRTpOJQsy9ONxE5jJGHS337wGzp1ePxhtuuAEAEgrnAZrUHC5ZbBOCIKCsrKzX9RwOxyFneUzr6L6SLV3XB83m+XAx2D23HA4HOjo6EpZzzpGX13OrE1mWE8iSw+HoF7Jns9ngdrvh9/ths9kGTOFVWFjY+0oxcLvdKfcH6y/0iSzpuh5lq4qiwO/3Y9q0abjmmmvw2WefpbSPzs7OhNkFm82W4DW/du1arFixAsuXL49zLulPRDQdYY3DZtjmClongKBhrGBAzgY8E0jalj2z5x1yDqi5YLG9iA4DTPGBR9oAtBnkglNQw2RAFIGgHu8o1xvcYygLE2kjO+9IG8ja20pnMiaAOyt7ntlVvEQKDwdKLjn1CTbKMjGFapDMGXc9aP04CyJgOyJxTEouNQseRpklxhi4vQSsCzFijPWeWeuP46vpm02KRX9MzKQFHEY2NLCbzFwg0fdOD/a42aGCcw0AA/y7wSGQ7Xy4BYjspskIyUsZ6V0vUQDcvhGY8ntATmEiaCAR2EEyYrUQAAPXgmCiFcxxLWxY4AtAsAHMlprsezDAI36SQss+cEdlv0lpo65R4TbAvw3cMZLIrX8PNexWcoDALkApABwl0W0AnnLGiQf2k0upfzsABt65gybLJBega0YmUkkk04JE5jtKjlVvKjoAPQLevoUahmthINIO3rEdzFkBdO4AtxUePrHrR2zcuHGoh9Bv4JyjoqIi5azs4QS+3QX3PUGW5X5pWPpdhMfjQUtLS0Jm0+fz9fp+qqqKzk6rRETTtJTszlNFUVERNm/ePGjNX1NBd9biA4k+fXLLy8uxdy9ZGRcWFmLfPiIVU6ZMwXvvvZfSPux2ewIxCgQCcTMOgUAAt99+OxYuXDigqbZAmKQMqixA1zlY+ABlKhr+11pJ9gL5JwG1vwVG3dTLHrXe3eH6CpM8qAWAo4JmhwWFgh7E1FXVLOxmezvgMjJduXOInIhOqlGS3IBvasKPO5N7+VIIKqzGQIcGJtrIwS7cRNksNY8c+UzoIbJv5xq5bSebaZbcALQ+9yEaajD18NPj33X0NDGzbdu2XrZOI5guma1rrGWio/ss6uGi6VPAv4u+PyGjhlEzAl3RAwT2Ah/PAnY+S7LdcDNQ/9/x371BBg/UGeRRovubHiIiF4tQPZ1XpB0I7h/8MSbJvHEtQCQu0gKAUdPucGP3+wjsB2//FtzfezsAroWBwD7wwAEy3dnxHNC5jf7AAAhAqJmIb3AvuH8PbRg0pJapIlhHf6KTJvs6dwAd31J9bsc31mTcxl8BW7vYaHONjhdpAw78L20vSHT80AFqEC46gM5tJMkziO5Qw+/3xz3u6W+4gDF2WMX8fYXL5YKu6+CcIxQKIRwOJ3WUi8VgjW04wu12o6SkJC5bp2lar1klgMhS7HaCIPRr1kWSJPh8vkHP5KQb+kSWTj311Kgj3THHHIPf//734Jxj9erVvTayMlFZWZkQ7Gzbti3OdWTt2rXYtWsXrrrqKkydOhVXXXUVWlpaMHXq1ChZ6w90BmnMNkWEIAACOBA8EN+E1swS+Sb33pOGqYDSt3Rir2CyIZVRADWfDBgEhbTisXUHuScAR/wycfvpbwETnyf3OyaSXEJy08wsE8ggoa8wmtEeNlzVgL3csoOMldNJbrqeTKAf3CRggjy8JHgZpIz+mJhJC5jW/Af/aWRyDYSaonUn/QrGqIaEa0CwAbzhA8oaCCot+/zsxG22PkmZqIEYTyoINRIJEm00uRNpA/QwOV4C5Biqh0hCGG4C9OAh11v0BdRU07gmnTvBNTou9xvKg1AD0LHBkgJLLjqXpPsysjThJiDS2vvB2zeQrI0HgR3/D9ixBPhwOrDtKaB5ldFsWrAMWgJ7ScrY/g2RtlTOTw+RTC6wx2jCLhPZ4UFaHmwgkrZpATVA3/t74NPTgA13AEEyCIHoptc3/Qr46gJSYIh2IrYwxijagfZNNNa+mCQNECZPnozGRnqfJk2ahMmTJyf8mcuHEwZTOubxeJCbm4uioiJUV1dj9OjRUZe77r6b6WrukC7weDyorq6GzWaDpmlwu90pZf8cDkccUR2IDFBRUVHa15sNNPokw7vsssuijy+55BKcddZZmDRpEoLBIM4///yU9nHMMccgFArhpZdewrnnnosVK1agoaEBM2daErepU6fi66+/jj7/9NNPcf311/dqHd5X+EMGWZIFuO0yzdLVv0PSFAAY80hUWhDV9QtKvEQsFqLa/zIn0Um1UkwmSYZgtwiOqBq9hgQAGpB3Ev2gRdqt2cVYosFE2p/pxMbk5D2eegFTsvulvobJXvBY10G1kAIQgK6zYyTg32HIl7qBK71rbzI4NJgTM1OnTo1OzBx//PF9mphJC9gNg5SOLcAnJwNjH6dsE9eBhvdJWuUYSd9t/x7ANqLP5gamPT9JpZiVuWIKsOZ6yhCMfdzIShhwVACVNwFrr6fnndvoXjIYdXPmuM2gikesvnOAJesKNVJtX/tGQPNT4B0xyEuwAVyy032xDxM+fTKPCOwj4xlXNY0lWAfYywD/DnAlm/racUayuH3Lgcr/C4gqeLg1MTsfqKcyz0hb0gkeHtgPqAXW2LhGvzlaJ7D9KWvF3S/TX9GZQNnlgOyhe7geovdZcietreXBBkDJiT/32LGYGSTzfQjuoyzZrufjdxRuolrYxg+Bo98Fvr7ManbeuRXY8jC1sAAsVYQp42MstbrfAcaLL74YnSVftmzZEI9meIIxliCF8ng8cLvdOHDgABobGxMC/cGuAxqOMGvOWltbUyYnkiRF5Y2RSGRIJGrfBxyyJVN+fj7efvttfPjhh/D5fHFkpycoioJnnnkGCxYswOOPP47y8nIsXrwYDocDl112WTSTNBgwyZIqC1Akgayov33UWiH7WPrPwwAXiGyEm0kyZhT0RsH5wNTOiCr9YJqOQo6yGGczhV5jMs1WqnmURQKAPb8nK3Ag6tAHUbGstwHAVtxvbkqHijhHNslNP7iCzbAJzyLr8h5kgUPhKpbBwKM/JmbSAYyJ4GqBZeu/zpDyHvlrIOc4kjxF2sBdR1IGSHSCyx7KoviN+hHRGTVm6So55VwDmr8kS3om0j1h6yKaNDnqLQqgY48LEEka8VN6XH0nsPl++t4NtslDsI7OX1CSZ6ojrRTkm82T9TDw7QOAeyww4mwiMoHd4NnHpF4H07oW3F4afx/sDpE2INwI3mnUiwoyZUgkBzUihwR0bALWXEPrH/wHXfPO7YB3fPy+/DtpIi6wF8g7GdxeAjAVTLKDd+4hYqJ1EnmOtER7sWHni8nHtu9NyiCON4iU+Rtg1g1xLf6aBOspI8dEQMml+2awnn4X2jYQ6QHouh5YCYx9BNi5tOfr88mPuh9b0ZnxywL7iCyZmdYhxFFHHRV9vGrVKlx66aUJgWl7ezsWLVoUt24GvYMxFu0J1NLSEtdANJ1qXtIdfb1WsixHDTQycseBQa+R5saNG7ttXObxeDB3rtX0NBQKYffu3aisrOxxnzU1NXjttdcSlj/77LNJ158+fXq/Z5UAoKWDZrlsskhkKXTQetER04xMcpPUwl5m1fxEOozZTslqmCr3f4MsxgRwJTdKzOLIgVpkECmfoV3fb5USFZ9jrRfcTw56XXrqpBQwDCKYkgXum0a1FHaq9cjU92RwqBMzaYMZfwNWdsmAfvPvtFzOJulvuIlqirQOCmBb/mU4XjZRPZG9Agh+A+TMiN9PpM2wbG4GGv8B1L0NNP6NXtvyKBKg5Foz/4BVz9i5jUgbJ0v/rgYknHMgdBBM7Z/ME+fcaB2g0/nteJ4cGtUCAIb01llJGR09BDR/RjWO+5bTX+EZ1IOOa3T9bL3Ln3moJSrjgzK1l/HpdE2ZTHI4ptC9nkkARCIqO58lYmQifBCo/wuQNxu86RPANwVMkClj+I8fWOs1fw7Y8gAw8OxjyfwDOpFCLUAksu5turc3f0HbjH4IaFtDWSUTrf8CdjwLlJ5PSgdz8o5JgH8v4Ci11tWDRL51DXAL4HI20PYNsPMZoCFG1rr3D/T/X5fEXxDvVGCcUbO074/At4/Evz7yeuDA/xCZ/PYxOo/tT5E6wDHKqgOe9VWP130wsHHjRtTV0eTFU089hYqKioSeLVu2bMEf/vAH3HXXXUMxxGEPSZIGrU9RBkSWOjs7+9XYIYN49EqWLr/8ckyaNAnnnHMOjj322KRuJvv378dbb72FV155Bb/4xS96JUvpgm/2kaNbrluBKjGgYTW9IGcDE5+zVhQdxg+lSD/meoiCjlA9qGdO2KglGpg0M/Mm7yvDJDs1FoUZzCSxEgcAxSgSTCMXou7AJCe488hDkgdm8N1F14mZYQV7GTDmUWD9fGsZD1Ogz0SSvnFu1BttJicxyRVtAErF/A2AIINHAmCx/ZBavqbJHC0EfPPr+HqYpi6tAwDgqBWJY4MItK2n4Dx8EOjcThkIPQKm5oAH6mkcwXpwxQuEW+LIFNcCCS0GekXnVqqLEZ3AZ2damTcTkheY/jYF+LtfBfZ2mVwLHqBsu0h1QlxQgEgHWCxBAJEexgTwwF4g3E7XSg+Ch5oSCGEcIu1Ax05ymTNJSPMXlmyxO2y+H8ieEZVIczBg7Y1dzv1bIl+RZsC/n2SG7RuBvDmUYfr01Pj1mQj4plLrh90vE1E8uIqkcrteoIyWZyK9l4Vz6d7ZuQ3cVCPIWYYMTgX0JqBtE5Easz1GTxj7OOA7CkBMPVts2wEmkhxPtAHFPwNW/YR+h0zpYNSUwkDr14A7+eTrYKGtrQ1XXnll9Pn8+fMT1nE4HLjkkksSlmeQQTpCVVUEAoHvvQnDQKLXiPSdd97BkiVLcPPNNyMUCmHMmDEoKCiAqqpobm7G5s2bsWfPHkydOhWPPvoopk2bNhjj7he0+imzlO9VqSGt6bJU8QtLbw2Q/MLQgjNbPjn7wEUBjWADAjsBW+GQSsKonklJbHYKALKRGVOH9kcqZdgKM00pv4foKYvdFalksdevX4977rkHW7ZsQXl5Oe69915MnDix2/XfeOMNPPLII/2exWZMAM86Cjh2JVD/P8CWh+iFj48HCuYClTdSsAmQwUG43dwQVIMUU5PTvgncM9aY+DDcy2QvZaC6Mw4oPg/Y8590X4sFN/oaeScYveS2GE2wnSSPk1xEmto30H1ODwMtqy2CB6PnT6iBskB9QaTT6rXWlSgBJEVr30AZ/K5ECQC2/46yLzmzqBde8xeAWgDeKQBqHpiogLeuJQKYdRSpBrSAYT8uAp27eq7P+uRkoOUrahtReDplAruD5CMjnY+Pp+d7XiWCwTkdq+5P8evrQSK2DV2MSrY+CUz/c+L+lVy6VkVnAvZSK9v1JTV2R7tBfgDK+Ez7I1l6t39j1H3uAb59HKh7i9ap/U0i6av5d2BjF4Mg0QFkTTefWITeeQRQcTU1LM85Ln4SruoWYP0t3V+rry4iUjWEmDZtWtQy/Ic//CHeeOMNZGcfXsY0Xe41GXw/oShKRuY4wOi1YMXpdOLGG2/E3//+dzz88MMYO3YsgsEg6uvr4XK5MG/ePLz99tt46aWXhhVRAoCOgFWzJPFWS1oQ0/yUCqVlmsU0fhSYkg2m+MBshSRlcx7ZpyLjAUN32Rg5i37oholzXKYO6fuJyy+/HNdffz0++ugj6HpyZ7b9+/djyZIlmDNnTo+93YLBIK666iqceeaZ+Oyzz3D++efj2muvRSiUvC5n165dePDBB/vlPJKCSSSVKjwdGPcf1vK6t4HtT5OcSw9SUBwx5MA8iZFFpJVkXO0bqdZk9ZXAF+cCawwi5JsOlF0KTIkhGKUXkxtmyc+N/ZqSrw46Zv7JtLzlczJ/YaKRZWoHtHYKmgUZEARySjN6RHHOybiCCeDduMABRsNZANy/l9zkQg2Wdfr+Fd1uh+1PA+tuTP5a3dv0v/ED4MC7RA70ABDcC7RvJBJn9KXjwQay2d5wG/D5z4g06QHwjm00nnBz/HibPyeiBFAmpCeiBAC1T9I1qzVkartfJjLS8hXwjx9a6838GCi5gB53JUomPv1x4rLyKwDZS+6frjEk/3aU0/6yZiSuv+4mw7CB0+fl87MtogRYMk0AmPoHYMrrQO4PaX8zPwZKLyGCNu3N+P1qRl8dxoCSeUDuDyyipEfoN8Yd39Q2CsdIygKWX5789SHCypUrkZ2djaamJqxatQpffPEFWltTcCuMQdrdazL43sHlcmWMHQYYKUeliqJgzpw5mDNnzkCOZ1DRHiAnNpssQNx8r/WCGNPbSc6mpqiCCgjJnXzSgigBBlnqcoPmYZqtFp2ZbE0GaY3+zGJ/8sknEAQB551Hs+9nnXUWXnzxRbz/Dkw7tQAAIABJREFU/vs46aST4tbVNA233norzjnnHCxfvnxgTo5JlhOYdwKQdTTV5gHAvj/QHwBM+y+gdTVlgrc+SctG/Awou4gei04AGhXnd81YAMDYRy1ns8kvG1kJo67SnEzhEdqHo5JcM+0VtNxsxs0EQ1KsUY+fqKGMkf3iIbLzbl0HtK2jANm/G9wzIXnPs46N4Ewhc5zgfpKEhZuAr6+2pMPZM4DRRgAZaSXS0PKltY/CM4hYFZ1JBgKx2Ppbahjeto6yGjX30317zVVA1W2UMWtbY7WE+OQkYOaHdGx7MV0D2Ud1SoH9wJ43Es/BRNVtVmbwiHuoBx9ARMEzgeRyzZ/TsoYPrO2c1fQ/dxawO4kD2/j/R8TXxKhbgIJTScLmHEXnA5C5BIvJ8lTNBzY2ExFxVlJWq3Mr8NEMYMZHZOHd+q/4Y5nXzzGSalm7ovxSoOwSq2egHgKgE2E2zYJM6GEjQ6jTa6IKTFpK0smR1xCJjUXsRGQaoKOjA3fccQf++te/Rt0ZJUnCGWecgV/96ldQlN4bhafdvSaD7x1S+ZxmcHhImSy1t7fj9ddfx/r16yHLMkaPHo25c+cO6yK+/c0BMAY4VAlC41brBfOGznVAzgFTqeaHy+lliJAyZG/P9tsZZJAGMLPY11xzDT788EOsWrUKe/bsQUtLC7KzszFv3jwcd9xxGDVqVK/72rZtW8J6I0eOxObNmxMCmCVLlqC6uhqzZs0auABGcpCDpomxj1HA+3EXs4rPfpK47d7X6Q+gmX+IANOp5w5ADmNt64HSC61AlusUDANUZ+nfbZm/CLJlPmArNhqFCkDj34mEjbwaUPKJ3Ky9HjhygWFg4wXW3UoEQdeJzKy/Bcg5ATjiLqDlX+DZR1MGBIZJAo8YRjhhkhqGWyjYX31dfI1l1W3W2GUfZcN2vUDPyy4Dyi4mq2zJTeYKrf8Cyq+iZqidW+LrfDbeaT02iU1XBPZTLad/FxBuBW//hjJmwQbKlgHxcrWR1wHF59LjgrnGJJQxScZDhqRRJadBUx5XHyOpG/sYEQslH5jyByKL/h0koyw5j87ZPY5IHQSg8DS6Tq4jqSm3SrPGTFDAPbXU5JhJ1HtvwhLrOJE2K+v28Uyj3ghA0dnAqBuIRJnIMWSD0do40HugR+i5aQjENVIlqIXk2MhkQAsaPbHaSeZtEqmIH7CVAkfek/y6pxnuuecebN26FS+88ALGjRsHXdfx9ddf47777sPDDz+Mu+++u9d9pN29JoMMMuh3pESWDhw4gHPPPRf79u1DUVERAoEA/vjHP+KJJ57A/PnzMW/evIEe54CgviUIn0NGlksC6mIaRtqK6Ycz0h5nAZv2mRnbCJpdFVQaPxMA0UXjHsT+KRlkcDh49913sW7dOuTl5eHSSy9FQUHfHRE7OzsT7IBtNhsCgUDcsrVr12LFihVYvnw51q5de1jj7hGCDdAbjdl6bjWanvAM8HUfpEkfHUcSqNjsxPinATD6vpumEXrAaFqqGFlxmV7jOuAcFSU0TJConkrNJwlbcC/Q+H78Mbs6o+18lupOzNqUxveBDe0k3ZvwHLijnAgS1+h+FNxHGQZbMRGuTb+m45gYNT8xA1F6gUWWRhjOnkoWjX/so0YWwwF4xlnW3b3BWW1YfgP4/Bwing0f0PLQQSIzB/6HSI5gpwzgjA/JTCEr1kI6YjT5jRjEQqfMWPtGamI+82NylTMzg0csoFojyWNclzBdK+coo7ksI8JVuwgAJ1LJuZU96qJcYLIXPPsYoHVtolQz7ySLLAHUwBagthJcA6a8Amx9imR3eYZKhIeNXk1+AIyykXqIPkN6hAwZZB/Z4Af3kvmGxIxatVFUs+udBEAypJD1lmQvzfG3v/0NS5cuxbhx46LLZs6cifvuuw9XX311SmQp7e41GWSQQb8jJbL0+OOPw26345133kFZGfXu2bdvH5YtW4YHH3wQ7e3tg9YbqT8RCOuwyQIE3W/d3GsWWvVJwqE1bR0qMNkDbs526mFAdIB5utGQZ5BBGmLRokVYvHgxPB4P2tvb8cwzz+CVV15BdXV1n/Zjt9sTgpVAIACHwxH3/Pbbb8fChQvhdDq77qJ/IaiWJFbrpImNcDNlhY5+l9b56gLLZKb2SWpfwFiXOhY9nijV/ia+wN7svSbnUJAdrCdSIfuAzp1A7qzESR81n7IlO5O3bkgKLRj/vNmoH2v+hEhNsA7Y+Tywa2nP+6n9LeCbnLicyXRdGIvvZ6f5abwRwwTDdQTJ4bY9RU5ysYTIMTLeiS3/ZIDNBbY+Qc93Pg/sfI4yOrWLgH9dZDXz1v0gU4MwkH2MtY9IB2DLN7JxnMifOSHlHg3e+BEABSj6P4bJQxhwVoHFOMDxzh1GywcXkavO7ZRxgk5GHYBV06WHkqoCGBPB7eV0rtG6oQBdyxkfJWYsPYajqlIAjL6PPic8YhElczItuI+ei0ZD3Oxj4j8v7vEAjOayoQNgzgpwR3nMOnZwPUTvj7lMCxhSvfRrJu31etHRkUjsBEGAqqYmr0+7e00GGWTQ70iJCfz973/HAw88ECVKAFBUVITbbrsNJ5xwAq644gr84Ac/gCAI2LBhA84444we9pY+CIZ1eOwSRN5BPzSiE8g9wZBLeADdP+RNW/sMyU1SDCYNG0OHDDIw8V//9V+47bbbcPHFF6OtrQ133nknHnrooW57sHWHyspKvPzyy3HLtm3bFmc/vnbtWuzatSs60aNpGvx+P6ZOnYq33noLI0Ykqec4RDA1F9xsGtq2gTIpwQaAGfItQaJi+4+PI2Lji6nHmvI6rfPZ/4nfqXeSMaNvQA+SfXS4kYJhWzHQvpkeO8oBJibNjjMmgFdeSzKzji3A6piJL+cRVmPbWKzqxsa9bSMZM7Rv7PmCFJ4BVN0av4yHLemXHrQacQOU4WCg66ZSLygwRhmb3B9atUN6BNhwB9lpF5xO98FIK5A3m4gJk4Btv6Esy06jPUTbGrLRNokSQHVcuj++HUSkjY5tKzGc9QSq14p1IPVOJDt30QnYS4jIxJI9gAx3gvWAoIKp+UT+zEsQ2E/Ewl5GMr3so8G6u4/LbiJTgs34/bJbmcVJLwIH/kqEvPIGWoeHDZJumHEouXSdbUVghsScqwUARECQwFxVCYdkItVGcC4RUUUSxYXkBfg2ymoChltjo/F7lF7qjBtuuAF33303brrpJkyZMgWSJGH9+vV48MEHcd5552HLli3RdauqEq8HkH73mgwyyKD/kRJZamlp6dai96ijjsLFF1+MW265Bbt378Ytt/RgG5pG4JwjGNagyAIY1+nHz7TvVQvBnOXgsU1qhwsEG8Cb6Qc5tjdGBhkMA9TV1eHUU6n+xO124+6778bs2bPBOe+TDPaYY45BKBTCSy+9hHPPPRcrVqxAQ0NDXEPbqVOn4uuvv44+//TTT3H99dcPnJ2vWkj3GNFBkxqCSIGlGbwyAZj+30gIKO0lxkn9lbIQLV8ROVByKTjWwwB0CuJtRWD24uimPPvYqLskN/eTDLYR5BjnGUdZLecRFOQCREACu4gE5RxPvYRMKPlUezTiXLL43vF04r4dFfHNWwEiOLHgYcM8AFTX5B4N+HcSudEMIiB7AcEGpvjI0ly0gTnKyc3OlKPpQWDck5TZ4DoRLpPM8AiRiqnLE4ln2zrrcfXdlPHLPpYIVKDOqF/NAmQPmOQEvBPAtSBNpsVMqDHJBe6spD5QzCAoXcgSkz3gzurkZgdKLsnb1Hwg0tI9UYKRXfJOIItwtQBwjgSaDVMMx0iy9zahB+mcJDfQHiDyYisC62L5zqTUsh4k7U5er8wkG5klcE7X21ZsZcjMzFma4NZbibDfdNNN0fuLafTw5JNPYtGiRdF7z4YNG5LuIy3vNRlkkEG/IiWylJeXh/3796O4uDjp6yeddBIWL16M22+/PeoIk+4Iaxw6B1RJgMiMLvKC8cMUtQgfht2QbYVAxybAWRW1+M0gg+ECzjlkWY4+LygogCRJqK+v71PtkqIoeOaZZ7BgwQI8/vjjKC8vx+LFi+FwOHDZZZdh6tSpgy4dZpIRNMvUD4N7JlDNUJtGMmDOLYKSDKKDAl73GAr8I200e++qBsLNCQ1ZAcS507GemlKLMYF7bFaLc8p6OUYCYx4yMjLPW3LBic9SNso3LXk/pAnPA+4jifDwsGE0IdGYYyF5iLC1rKHePqLNkJjpgKsKUHLjs/yOkVYtj73M6DPEAc9YupZaCJBUkpd17qLXwABnDWXKJr8CfHUhZZv8u6z9Tv8zZfYEG2XcbCOILEEHPLVxY+jOBZXZisDlHHKlC7VYTcFj11G6MQtyHQFoxbRvo+F4T2CSC1zJBiAQeRLtREy0IF0f8z23FYMZny2uFgGimwjWQMFWQJ+VMKjeyVZAJERMLwnae+91Y+HeB6TjvSaDDDLoX6RElmbMmIHXX38dU6ZMSfq6w+GAJEm46KKL+nNsA4pgmGYiFUmAHD5AM5GOXJpFlRy9bJ2+YIIM7qoBJBeYMAzJXgbfeyxZsgQTJ07E2LFjUVpaCsZYtz1LekJNTQ1eey0xgO9O0jd9+vRBnemN9hOTPTTTD93KQnDdKPyP0J/QJcPAdcpMSF5ySlMPr8dGtKm16YoGEFEKN9L4TEkVBGDiC5TdUnIoU+E7iiabyq8AdhjObLmzSZLmqTXc8CQiQO7R3QxAJOOCnGOjhITLWURaYmRq0dVjzpcpWeCSh+R2chaNqXMXoOaD2UaAB+qIOEg+MDUbvFMkgjXtTcrE730D2LmEHOtkH2VDDKtuxkRwzzgAvE+SbCYq4K5qoENKMGjocTvG+m6vbS8FwkZvIFsJOSM6y4nkaQGSesZkgZjiA5c9AyoxZ85KcK7Hk8skZhVDjREjRmDnzp1obm6Gz+dDaWkpBKHv1yXd7zUZZJDB4SElsnTFFVdg7ty5qKqqwhVXXJHw+ueff95t1ildEQiTNEORBEgwmjPK2TT7mWa9IPoK1pPcJoMM0hizZ8/GO++8g6VLl4IxBpfLhWAwiOeeew7HHnssJkyYcEjueGkNyUcyM3spNUGV3HQ/UvJIjhVqpNoTaAAEw7ksTPVKgtzb3lOH6CBioweNYwTI/CC4H1ESpQeJmOXOouc8TJNLYgFw5L/T+L1TgKKfUq2U7KUAObAfYOYklOkIGAQiRu2PWkivxAbwrprUG1S7awAtRAE5k8GVXMtgwD3W6gUEUAarc6tFIArPAPJPNORiYSIcMQTtUPvoMSZSVmyAwZhIphowiJDiBZgak3FMZhAx8LW46VzvGwqF8NRTT+GNN95AU1NTVGqXlZWFs88+G9dcc02md00GGWQQRUq/RKWlpXjsscdw44034q9//SvOP/98jB07Fqqq4rPPPsPDDz887OzDAyErsyQGd9BCJdvQvqfvTT6DDL7LeOop6h3U1NSENWvWYM2aNVi7di3ee+89vPbaa2CMIS8vDx9++OEQj7QfIdrIMU12g3snA6EDgL0cCLeAKdmAkg3e8KFRGyMAiACeMf3fDFvJJTlc+0ZAa6XstL0IXOsgwsZEcoKTsohsQKAMDQRAzSPZWu1vDNOAYpLnqQVE9MRWK0smOgBdI9MKTzWRGilRfpgyUYIRmEsxZgyuasqqwDIlAAx5tb0YXPcb9TMccJTQYy0IuEd3L5EbLlCLDWWB1LOs83uKUCiECy64AHv27MEll1yCqVOnwuPxoK6uDqtXr8bSpUvx6aef4qWXXoqTBGeQQQbfX6T8a3TiiSfi1VdfxcKFC3HrrbfGFUPOmTMHV155ZS97SC8EI2ZmicO7xWg8qBYbvUl60PZnkEEGA47s7GzMmjULs2bNii6rr6/H6tWrsX79+iEcWf+DMUbOZjAkZaKDiJAYIz9zVpKZgiD2XHt0OONQjUyLdxy4f59hEgNrEomJgJxLmXcepmSTkhdPakTDGl3NBSKtYKIKLuTS8sBuq35HoHqaVA0F+nwujAFSD26gthIg3AEwDuY6ArxlNcgK3N39NsMEw57sDTCef/55tLa24u2334bXa5HJkSNH4uijj8a5556Ln//853jhhReSKmkyyCCD7x/61ESotrYWr732GrZv345169YhHA6jpqYGNTU1vW+cZgiEiCwVSDHNESUnOSyle/PZDDL4HiI/Px8nnngiTjzxxKEeyoAiWcZosKW1zF5kPZF9JMsTbIAgU32TuxYI7EnM/qgFRJaYHO0txJgIyB5waXTa3FuZaAN3VVE/KIDOz1ExYEQ0g/TBn/70J9x0001xRCkWHo8HN910Ex599NEMWcoggwwA9JEsmaioqEBFRUU/D2VwYRo8FImbrYU5JyR1Lsoggwwy+L6CMSHq4BddJnvAk9R2MtkDeCd0s5/0IEommOQEJMM6230kMvLr7wd2796NMWPG9LhOTU0N9uzZ0+M6GWSQwfcH39tfB9PgwSm20IKq2wF7ERVZZ5BBBhlk0CPSuYC/r2DdNOzN4LsHt9uN+vr6Htepq6tDdnb2II0ogwwySHd8d37t+ggzs+QS2mmBMUv6XQoAMsgggwwyyCADC8cddxyeeeaZHtd5/vnncfzxxw/SiDLIIIN0x/eWGZiZJXssWcoQpQwyyCCDDDL4zuK6667Dl19+iZtvvhlbtmyJLuecY+PGjbjyyivx1Vdf4eqrrx7CUWaQQQbphEOqWfouIGBkluxCO7XfEF2g/h8ZZJBBBhlkkMF3ESNGjMCyZctw22234bTTToPdbofH40FjYyMikQgmTJiAZcuWfff6uWWQQQaHjO8tWQpGa5Y6iCxlMksZZJBBBhlk8J1HdXU13nzzTaxduxZr1qxBS0sLvF4vJk6ciNGjRw/18DLIIIM0w/eWLJkyPBvaaIHoijapzyCDDDLIIIMMvtuora1FbW3tUA8jg//f3r2HRVXnfwB/A8MwM8hNxbTEBF3FQBsuoggKothFbirtlopoYfCsiD1mhq38urEr1aPbanITVwUsXa+YtGuhbNuamJhKDpSIo2lkhRfkOgPM+f1BTk6QusrcmPfreXgezne+58znO0c+zmfOme+XyMRZ7KWUVvXPt+EJdT8vtujYuZI8ERERERERLLhYUrVpYIMO2HdcAOwe7CyYrGyNHRYREREREZkIoxRLlZWViI2NhVwuR3R0NE6ePNltv8zMTISGhsLf3x9xcXE4c+ZMj8WgauuAq10dREIj4DAKEDSAtV2PHZ+IiIiIiMybwYsllUqFpKQkzJw5E8eOHUNcXBySk5OhVqt1+u3evRtFRUUoKChAWVkZAgMDkZiYCI1G0yNxtLZp0F98tXND3A8Q2rRrLRERERERERm8WCorK4O1tTVmz54NW1tbxMbGwsXFBaWlpTr9rl27hqSkJLi5uUEkEmHevHmora3F5cuXeySOxtZ29LP9uViy7QtIh7JYIpPW3t5u7BCIiHqd+vp6pKenY+bMmZgxYwZef/11XL161dhhEZGJMHixpFQqMWzYMJ02d3d3VFdX67Q999xzmDFjhnb70KFDcHZ2xsCBA3skjoaW9luuLLkAYhdYcepwMjCNRoPly5dj8uTJ8PHxQXh4OIqLiwEAR44cwbhx45Cfn4+pU6ciNDRUp33r1q0IDw+HXC5Heno6rly5ghdffBH+/v4ICwvD8ePHjTgyIiLzkJqaCgB44YUXkJKSghs3bmDp0qVGjoqITIXBq4Pm5mZIpVKdNolEgtbW1t/c59ixY3j11VexcuVKWFv3TMgNre1wld7o3BA5c40lMoqGhgZMmjQJ+/btw/HjxzF//nykpqZCrVajsrISDQ0NuH79Ovbt24dDhw4B6PzOX1NTE9rb21FcXIy8vDwUFBRg2bJlePbZZ3H06FH4+/sjJyfHyKMjIjIthYWFaGtr02n75ptv8MILL2DSpEmYPHkyEhISUFlZaaQIicjUGHydJalU2qUwam1thUwm67b/3r178frrryMtLQ2RkZE9FkerugNOjs2dG7YOnbPhUa+07qMaHPzqR4M815TRA7D4yWF37vgzJycnREREaLdjYmLwxhtvoKWlBQqFAsHBwUhJSdHZR6FQYNq0aYiPjwcA7SKKiYmJ8PLyAgB4enri8OHDAICioiK8//77ADo/OQ0MDLz3ARIRmbFLly4hIiICCxYsQGxsLEQiEWJiYhAVFQW5XA6NRoMvvvgCTz31lLFDJSITYfBiycPDA4WFhTptSqVS5w3jTevXr0d+fj4yMzN7/A2eqk0DR9HNBWkdYMGzqJMRHT58GJs2bcKZM2fQ1NQEjUYDV1dXODk5QaFQIDk5ucs+CoUCS5Ys0W5XVVWhT58+CAgI0LadOXMGI0aMwI0bN7B582Zs374dTU1NmDdvHvbu3QsbG344QESWJzU1Fc8++yxycnIQGRmJhIQEJCcnIzQ0FF9++SWsrKwwb948+Pr6GjtUIjIRBi+WAgMDoVarUVBQgKeffhpFRUWoq6tDcHCwTr9du3Zhy5Yt+OCDD7p8x6knqNs1cBA1dW7YOsKKC9L2WoufHPY/Xe0xlFOnTmHp0qV4++23ERAQAKlUiszMTFRUVKCxsREXLlyAXC7X2edm++jRo7VtCoUCXl5eOreoKhQKJCUl4dSpU/Dz84NYLIZYLMZDDz2Eb7/9Fu7u7gYbJxGRKRkwYADS0tJQW1uLrKwsbNy4EYmJiYiPj+d7ASLqwuCXU8RiMTZs2IDi4mIEBASgsLAQWVlZkMlkSEhIQHZ2NgAgNzcXTU1NiI2NhY+Pj/anpqamR+JQtWnQx6YRAqwAkUOPHJPof1FZWQlHR0f4+vrCxsYGu3fvRm5uLry9vaFQKODk5AQ3NzedfbprP336NLy9vbXbLS0tqKmpgbe3N65fvw4nJyftY05OTrh+/br+B0dEZKLq6+vx1VdfQSwW480330ROTg6OHDmCyMhIfPTRR8YOj4hMjMGvLAGd36fYtm1bl/a8vDzt7wcOHNDb8wuCAFW7BvY2jYCNPYz0MpCFmz59OkpKSjBx4kT0798fc+fOhaOjI0aPHq29WvRr3bX/+na9qqoqyGQyDBkyBN9++y3q6+u1j9XX18PZ2Vl/gyIiMmE3vwdtb2+PhoYGLFq0CM8//zwyMjJQU1OD9evXIzs7G8nJyZg2bZqxwyUiUyD0IhcvXhRGjBghXLx48bb9WtXtwrjUUuGnPUOEjo+HCpprJwwUIZFh1dfXCzExMYJKpRKuXbsmRERECO3t7cYOyyAUCoUwa9Ys4dFHHxWioqKEEye6/ztfv369EBISIvj5+Qlz584Vvvnmm9se927zDBGZnqCgIOHw4cOCIAjC+fPnBS8vL6GxsVGnz9dffy0kJyff1fH0lWcEgbmGyFRY5KwGqnYNAMDeugFWIgfAmleWqHdydHREfHw84uLikJiYiNTUVIuY3EGlUiEpKQkzZ87EsWPHEBcXh+TkZKjVap1+u3fvRlFREQoKClBWVobAwEAkJiZCo9EYKXIi0ieRSISffvoJHR0duHLlCgB0yYkjR47EunXr7ngs5hkiy2CZxVKbBjbogMS6pfP7SlxjiXqxmJgYbN++Hdu3b0dQUJCxwzGIsrIyWFtbY/bs2bC1tUVsbCxcXFxQWlqq0+/atWtISkqCm5sbRCIR5s2bh9raWly+fNlIkRORPqWlpSEjIwPe3t5ISEjAypUrIZFI7ulYzDNElsEiL6mo2zXoI2rs3BA5AOj9n7QTWRKlUtllFk13d3dUV1fjscce07Y999xzOn0OHToEZ2dnDBw40CBxEpFhTZkyBWFhYbh69SpcXFzua6F75hkiy2CRl1RUbbdMGy5yAKztjBsQEfWo5uZmSKVSnTaJRNJlQexbHTt2DK+++ipWrlx5X2+giMi0WVlZoV+/fvf9d848Q2QZLPIvtXONpZsL0toDtpwdjKg3kUqlXd6wtLa2QiaTddt/7969eP7555GWlobIyEhDhEhEZo55hsgyWGSx1NrWAaebxZKoD2Ajvf0ORGRWPDw8oFQqddqUSiWGDx/epe/69euxatUqZGZmYubMmYYKkYjMHPMMkWWwyGJJpdagn/hq54ZtP8Da1rgBEVGPCgwMhFqtRkFBAdra2rBz507U1dUhODhYp9+uXbuwZcsWvP/++wgMDDRStERkjphniCyDRRZLLW0d6H+zWLIbACvOhkfUq4jFYmzYsAHFxcUICAhAYWEhsrKyIJPJkJCQgOzsbABAbm4umpqaEBsbCx8fH+1PTU2NkUdARKaOeYbIMljkbHitag362f5cLIldjRsMEemFp6cntm3b1qU9Ly9P+/uBAwcMGRIR9TLMM0S9n0VeUmlt6/jlNjzJA8YNhoiIiIiITJJFFkstrSqE9T/cuSHuZ9xgiIiIiIjIJFlksaRpOv/LBid3ICIiIiKiblhksSS0fgcAqHP6A2DFBWnJPLS3txs7BCIiIiKLYpHFknV7PQDARtIfsLLIOS7IRGg0GixfvhyTJ0+Gj48PwsPDUVxcDAA4cuQIxo0bh/z8fEydOhWhoaE67Vu3bkV4eDjkcjnS09Nx5coVvPjii/D390dYWBiOHz9uxJERERFRb5aamoq33nrL2GHonUVWCiLNDQCArZ0DYGVj5GhI34TKFcD3uw3zZINmwuqRVXfdvaGhAZMmTUJaWhrs7e3xwQcfIDU1FeHh4aisrERDQwOuX7+Offv2QSTq/HOtrKxEU1MT2tvbUVxcjIqKCsyZMwc1NTVYtmwZ3n77baxYsQI5OTnIzc3V10iJiIiIej2LvLIkEhoAAGI7B4BrLJEROTk5ISIiAg4ODrC2tkZMTAzUajVaWlqgUCgQHByMlJQUyGQyiMViAIBCocC0adMQHx8PsViMUaNGAQASExPh5eUFGxsbeHp6oqOjAwAwf/58jBs3DpmZmUYbJxEREZmvL774ArNmzYKPjw+BD8XOAAATgUlEQVSmT5+O//73vwCA7777DgsWLICfnx+ioqJQWVkJoPPOmXfffRePP/44fHx8EBISop1m/9KlS/D390dubi6CgoIQGBiIv/zlL9rn+v7775GUlARfX19MnDgRmzZt0j728ccfIyIiAv7+/oiPj4dSqdT72C3yypLtz8WSyFbKCR4sgNUjq4D/4WqPIR0+fBibNm3CmTNn0NTUBI1GA1dXVzg5OUGhUCA5ObnLPgqFAkuWLNFuV1VVoU+fPggICNC2nTlzBiNGjAAAZGRk4PPPP8fly5f1PyAiIiK6Z0OHDu22/aWXXsKiRYsAAHFxcfjss8+69Bk/fry2INmwYQP+/Oc/d3usM2fOaD+AvRtXrlxBUlIS/vSnPyEmJgaffvopFi9ejMDAQJSVlWHz5s145JFHkJqainfeeQebNm3Cvn378PHHH6OgoAD9+/fHhx9+iJUrVyIyMhJA5501ly5dQmlpKSorKzF37lw88cQT8PHxwZIlSzBy5EgcPnwYP/74I2bPno3f/e53cHR0xCuvvIKcnByMGTMGW7duRWJiIoqLi2Frq7/38xZ5WcXu52LJWiQFRA5GjoYs1alTp7B06VLExcXhwIEDOH78OBYuXAhvb280NjbiwoULkMvlOvvcbB89erS2TaFQwMvLC9bW1jpt3t7eAICBAwcaZkBERETU6/z73//GkCFDMGvWLNjY2CAsLAxbtmyBWCzG448/jjFjxkAkEmHatGm4dOkSAGDq1KnYsmUL+vfvjx9++AF2dnZQqVSor6/XHnfhwoUQi8WQy+Xw8PDAhQsXcPHiRZw6dQrLly+HVCrFww8/jC1btuCRRx7Bzp07ERMTAz8/P9ja2mL+/Plob2/H0aNH9Tp+i7yyJEZnsQTJYFjxyhIZSWVlJRwdHeHr6wsbGxvs3r0bubm5SEhIgEKhgJOTE9zc3HT26a799OnT2sIIAFpaWlBTU6PTRkRERKbv/Pnzd+xTUFBwxz4LFy7EwoULeyCizitLv/7gdcyYMZBIJHByctK22draar8C0NbWhvT0dBw5cgSDBg3SfmVAo9Fo+/ft21f7u0gkgkajwZUrVyCTyeDg8MvFjOHDhwPovD3v6NGj2Lt3r/axtrY2fP/99z0yzt9ikcWSxKqx8xd7D+MGQhZt+vTpKCkpwcSJE9G/f3/MnTsXjo6OGD16tPZq0a911/7r2/Wqqqogk8kwZMgQvY+BiIiIercBAwbghx9+0GnLyspCW1vbb+6zZs0aCIKAzz77DHZ2dqitrcWePXvu+FwPPPAAmpub0dDQoC2Y9u/fD0dHR7i6uuK5557T+SrC+fPn8cADD9zjyO6OZd6GZ9X08y+8PYmMx9HRERs3bsTJkydRUlKC+fPn4z//+Q9CQkLw7LPP4u9//3uXfbpr/+ijj/Dkk09qt319fVFeXg4rKyu9j4GIiIh6t5CQEHz33XcoKipCR0cHDh06hE2bNqGpqek392lsbIRYLIaNjQ2uXbumnWL8TmtGDho0CP7+/li9ejVUKhXOnz+PjIwM2NjYYMaMGdixYwcUCgUEQcAnn3yCiIgIXlnqaYIgQN7nOFQaMexsJMYOh0jvVqxYgYqKCqjValRUVCA7O9vYIREREZGZcHFxQU5ODlatWoU33ngDgwcPxvr167Fr167f3CclJQUvv/wyxo4dC0dHR0RHR2PIkCGoqanByJEjb/t8a9aswRtvvIFJkyZBKpVi0aJFCAoKAtC5ttPy5ctRW1uLhx56CO+++y48PPR7p5iVIAiCXp/BgC5duoQpU6bg4MGDGDx4cLd9BEHAfwunot3KHpPn7jNwhERk7u4mzxAR3S/mGiLTYHFXlqysrPDKN/8H937AZGMHQ0REREREJsso31mqrKxEbGws5HI5oqOjcfLkyW77bd68GRMnToSvry+WLVuG5ubm+35uQRDQoREgseX3OYiIiIiI6LcZvFhSqVRISkrCzJkzcezYMcTFxSE5ORlqtVqnX2lpKTZu3Ij8/Hx8+umnqK+vx9q1a+/7+a2srPBCxHDE+t79YlxERERERGR5DF4slZWVwdraGrNnz4atrS1iY2Ph4uKC0tJSnX5FRUWIjY2Fu7s7HBwcsGTJEuzcuVM7f/v9+P2EwRgzWHrfxyEiIiIiot7L4MWSUqnEsGHDdNrc3d1RXV2t03bu3DntIlQ3+zQ0NHSZ5/1edch+1yPHISIiIiKi3sngxVJzczOkUt2rOhKJBK2trTptLS0tkEh+mdr75j4tLS09EoetrU2PHIeIiIiIiHongxdLUqm0S2HU2toKmUym0yaRSKBSqbTbN4ske3v7HoljgJNdjxyHiIiIiIh6J4MXSx4eHlAqlTptSqVS55Y7ABg2bBjOnTun08fBwQEDBgwwSJxERERERGTZDF4sBQYGQq1Wo6CgAG1tbdi5cyfq6uoQHBys0y8qKgrbt29HdXU1GhsbsXbtWkRGRsLa2iiznRMRERERkYUxeOUhFouxYcMGFBcXIyAgAIWFhcjKyoJMJkNCQgKys7MBAGFhYVi4cCESExMRGhoKBwcHLF++3NDhEpGZMuZ6bkRkOZhriHo3o1ym8fT0xLZt23DixAns3bsXcrkcAJCXl4ekpCRtv3nz5uHQoUMoLy/H6tWru0wMQUTUHWOv50ZEloG5hqj34z1tRNTrmMJ6bkTU+zHXEPV+ImMH0JNuJp3Lly8bORKi3mngwIEQiUw/bdxuPbfHHntM23bu3DmEh4fr9Lm5ntuDDz7Y7bGZZ4j0j7mGuYZI3+42z5h+Jvof/PTTTwCAOXPmGDkSot7p4MGDGDx4sLHDuCN9rufGPEOkf8w1zDVE+na3eaZXFUve3t7YunUrXF1dYWPDRWeJetrAgQONHcJd0ed6bswzRPrHXMNcQ6Rvd5tnelWxJJFI4O/vb+wwiMjIPDw8UFhYqNOmVCoRERGh03Yv67kxzxDRTcw1RL0fJ3ggol6H67kRkSEw1xD1flaCIAjGDoKIqKd9/fXXeO211/DNN9/g4YcfxmuvvQa5XI6EhAT4+/trlynIz8/H5s2bcePGDYSEhCA9PZ3LFBDRXWOuIerdWCwRERERERF1g9d/iYiIiIiIusFiiYiIiIiIqBsWVyxVVlYiNjYWcrkc0dHROHnypLFD6qK8vBxPPfUU/Pz8MHXqVGzbtg0AUFFRgVGjRsHHx0f7k52dDQAQBAGrV6/G+PHjMXbsWKSnpxt1ZfC8vDx4e3vrxFpeXo76+nosWrQIfn5+CA0NxY4dO7T7qNVqvPLKKwgICMCECROQlZVltPj37dunE7uPjw88PT2RlpZmNuehoqJC50vG9/ram9KYzIU55BmAuYa55v4xzxiWueQWop5m1FwjWJDW1lZh4sSJwtatWwW1Wi3s2LFDCAoKElQqlbFD07p+/bowduxYoaioSOjo6BBOnz4tjB07Vjh8+LCwfft24fnnn+92v4KCAiEiIkL44YcfhB9//FGYMWOGkJ+fb+Dof7F06VIhLy+vS/vixYuFZcuWCa2trcKpU6eEgIAAoaqqShAEQcjIyBDi4+OFGzduCEqlUpg8ebJw8OBBQ4ferc8//1wICgoSvv/+e5M/DxqNRtixY4fg5+cnBAQEaNvv9bU3hTGZE3PIM4LAXMNcc3+YZwzPXHILUU8yhVxjUVeWysrKYG1tjdmzZ8PW1haxsbFwcXFBaWmpsUPTqq2tRUhICKKiomBtbQ0vLy+MGzcOX375JSorK+Hp6dntfkVFRYiPj8eAAQPg6uqKxMRE/OMf/zBw9L+oqqrCqFGjdNqamppQUlKClJQU2NnZYcyYMYiIiNB+GrBv3z4kJibCwcEBQ4cOxdy5c406hpuamprw8ssv47XXXsPAgQNN/jxkZ2cjPz9fOwMTcH+vvSmMyZyYQ54BmGuYa+4P84zhmUtuIepJppBrLKpYUiqVGDZsmE6bu7s7qqurjRRRV6NGjcI777yj3a6vr0d5eTk8PT1RVVWFL7/8EmFhYQgNDcVbb70FtVoNADh37hyGDx+u3c/d3R1nz56FYITJDltaWnD+/Hnk5+cjKCgITzzxBHbu3IkLFy5AJBLBzc1NJ87q6mrU19ejrq6uyxhM4dzk5eVhxIgRmDp1KgCY/HmYNWsWioqKMHr0aG3b/bz2pjAmc2IOeQZgrmGuuT/MM4ZnLrmFqCeZQq6xqGKpubm5y5oGEokEra2tRoro9hoaGpCUlAQvLy+EhYXBxcUFYWFh2L9/PwoKCnD06FGsXbsWQOebBolEot1XKpVCo9Fo/2M1pLq6Ovj6+uKZZ55BaWkp3nzzTWRkZKC0tFQnRuCX17+lpUUb968fM6ampiYUFhYiOTlZ22bq52HAgAGwsrLSaWtubr7n194UxmROzC3PAMw1pnB+zC3XMM8YnjnmFqL7ZQq5xqKKJalU2iWptLa2QiaTGSmi33bx4kU8/fTTcHJywnvvvQdra2tkZ2djwYIFkMlkcHNzQ2JiIj755BMAnf8QVCqVdv+WlhaIRCLY2dkZPHY3NzcUFhYiJCQEYrEY/v7+iI6ORnl5+W++/jf/4d76uCmcm5KSEjz44IOQy+XaNnM5D7e63b/9O732pjomU2VOeQZgrrn1MWPqDbmGeUa/zC23EOmLoXONRRVLHh4eUCqVOm1KpVLncpwpUCgU+P3vf4/g4GBkZmZCIpGgvr4eb731FhobG7X9VCqV9uQOGzZMZ2xKpRIeHh4Gjx3ojD83N1enTaVSYdCgQWhvb0dtba22/ebr7+zsjH79+nUZw69vOTC00tJSPPHEE9ptczoPt3r44Yfv+bU31TGZKnPJMwBzza2PMdfcP+YZ/TKn3EKkT4bONRZVLAUGBkKtVqOgoABtbW3YuXMn6urqdKYiNLa6ujokJCRgwYIFWLFiBaytO0+Rg4MDPvnkE7z33ntoa2vDhQsXkJ2djZkzZwIAoqKisHHjRly+fBl1dXXIyclBdHS0UcYgk8nw3nvv4V//+hc0Gg2OHDmC4uJizJkzB1OmTMHq1avR0tKCiooK7N+/H5GRkdoxrFu3DtevX8f58+dRWFhotDHcdOrUKZ1Pes3pPNyqT58+9/zam+qYTJU55BmAuYa5pucxz+iXueQWIn0zeK7Rwyx/Jq2qqkr4wx/+IMjlciE6Olo4ceKEsUPSkZWVJYwYMUKQy+U6P2vWrBGqq6uF+Ph4wdfXV5gwYYLwt7/9TdBoNIIgCEJ7e7uwZs0aISgoSAgICBDefPNNob293WjjOHjwoBARESE8+uijwrRp04R//vOfgiAIwrVr14SUlBRh7NixQkhIiLBjxw7tPi0tLUJaWpowfvx4ITAwUMjKyjJW+IIgdL6mnp6ewtmzZ3XazeU8lJWV6Uyzea+vvSmNyVyYep4RBOYa5pqewTxjWOaQW4j0wZi5xkoQONUMERERERHRr1nUbXhERERERER3i8USERERERFRN1gsERERERERdYPFEhERERERUTdYLBEREREREXWDxRIREREREVE3WCzRPUtNTcXIkSN/82fdunVd9lm3bp12UcU7+V/6ElHvxDxDRPrGPEO3w3WW6J41NDSgtbUVAHDixAksXrwYJSUlkEgkAACZTAZ7e3udfZqamqBWq+Hi4nLH469btw6lpaXYvXt3zwdPRGaBeYaI9I15hm5HZOwAyHw5ODjAwcEBAODk5AQA6Nu3b5eEcit7e/vbPk5EdCvmGSLSN+YZuh3ehkd6s3v3bsyaNQtLly6Fn58fNm7c2OVS9J49exAREQFvb2/4+/tjyZIluHHjRpdjtbe34/XXX8eECRPw6KOPYt68eaiurjbkcIjIBDHPEJG+Mc9YNhZLpFenT59G3759sWvXLkyfPl3nsfLycqSlpSEpKQkHDhzAX//6Vxw9ehT5+fldjlNYWIjS0lJkZWXhww8/hLOzM1566SVDDYOITBjzDBHpG/OM5eJteKR3f/zjH9G3b98u7RKJBOnp6YiIiAAAPPTQQ5gwYQLOnj3bpe+lS5cgkUgwePBg9OvXD6+++irOnTun99iJyDwwzxCRvjHPWCYWS6RXMpms28QCAN7e3pDJZFi3bh1qampQU1ODs2fPIjw8vEvfuXPnoqSkBBMnToSPjw+mTJmCWbNm6Tt8IjIDzDNEpG/MM5aLt+GRXonF4t987PPPP0dUVBRqa2sxfvx4ZGRk4Mknn+y279ChQ3HgwAGsXbsWHh4eyMvLQ2xsLBoaGvQVOhGZCeYZItI35hnLxStLZDTbtm3D9OnTsWrVKm3bhQsXMGjQoC599+zZA2tra0RHR2Pq1KlISUlBcHAwTp8+jcDAQEOGTURmhHmGiPSNeaZ3Y7FERuPs7Ixjx46hsrISEokE77//Pr766iv069evS9/m5masXbsWzs7OGDZsGPbv3w87OzsMHz7cCJETkblgniEifWOe6d1YLJHRpKSkYMWKFZgzZw6kUin8/f2xePFi7NixA79eK/mZZ57Bjz/+iLS0NFy9ehXDhw9HZmYmXF1djRQ9EZkD5hki0jfmmd7NSvj1WSQiIiIiIiJO8EBERERERNQdFktERERERETdYLFERERERETUDRZLRERERERE3WCxRERERERE1A0WS0RERERERN1gsURERERERNQNFktERERERETd+H+4p77zUgH1aQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# DEFINE AGENT FOR PLAYING A TWO-ARMED BANDIT TASK\n", "agent2 = qlearn.Qagent(alpha=.08, preward=[.75, .5])\n", "# EDIT THE CODE BELOW TO SIMULATE WITH DIFFERENT\n", "# VALUES OF BETA (INCREASE BETA = MORE EXPLOITATIVE)\n", "b=1.5\n", "agent2.set_params(beta=b)\n", "data = agent2.simulate_multiple(nsims=10, ntrials=1000)\n", "vis.plot_qlearning(data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## **Question 2**\n", "\n", "A high learning rate results in agents with a heightened sensitivity to feedback from the environment. \n", "\n", "**2a)** Describe **environments/tasks** in which a higher $\\alpha$ is *advantageous* to the **goals** of the agent.\n", "\n", "* **Answer 2a:** \n", "\n", "**2b)** What about environments/tasks in which this could be *disadvantageous*?\n", "\n", "* **Answer 2b:**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## **Question 3**\n", "\n", "**test different values of $\\alpha$ and $\\beta$ in the two code cells below to compare performance on 2-armed (first cell) and 4-armed (second cell) bandit tasks to help answer Question 3**\n", "\n", "**3)** In lab, we observed how the combination of a high learning rate (i.e., high $\\alpha$) and an exploitative decision policy (i.e., high $\\beta$) can negatively impact performance on a multi-armed bandit task. Explain in plain words how these two parameters interact at upper extremes. Consider the role of randomness in the environment (i.e., feedback) observed by the agent, particularly how different early observations contribute to later behavior under different.combinations of $\\alpha \\, \\& \\, \\beta$\n", "\n", "* **Answer 3:** " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# DEFINE AGENT FOR PLAYING A TWO-ARMED BANDIT TASK\n", "agent2 = qlearn.Qagent(alpha=.08, preward=[.75, .5])\n", "# EDIT THE CODE BELOW TO SIMULATE WITH DIFFERENT\n", "# COMBINATIONS OF ALPHA and BETA\n", "a = .03\n", "b = 3.5\n", "agent2.set_params(alpha=a, beta=b)\n", "data = agent2.simulate_multiple(nsims=10, ntrials=1000)\n", "vis.plot_qlearning(data)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# DEFINE AGENT FOR PLAYING A FOUR-ARMED BANDIT TASK\n", "agent4 = qlearn.Qagent(preward=[.95, .9, .85, .8])\n", "# EDIT THE CODE BELOW TO SIMULATE WITH DIFFERENT\n", "# COMBINATIONS OF ALPHA and BETA\n", "a = .03\n", "b = 3.5\n", "agent4.set_params(alpha=a, beta=b)\n", "data = agent4.simulate_multiple(nsims=10, ntrials=1000)\n", "vis.plot_qlearning(data)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## **Question 4:** \n", "In lab and in the code cells above, we simulated a Q-learning agent assuming the same sensitivity to ***all*** prediction errors $\\delta$, regardless of valence ( $+/-$ ), i.e., a single value of $\\alpha$ for both $+\\delta$ and $-\\delta$. A number of studies have found evidence that human observers exhibit different rates of learning when feedback failes to meet their expectations $r_t-Q(a_i)<0$ compared to feedback that exceeds their expectations $r_t-Q(a_i)>0$. \n", "\n", "**4a)** Why might the brain learn from positive and negative errors at different rates - what goals could this asymmetry help facilitate? \n", "\n", "* **Answer 4a:** \n", "\n", "**4b)** Compare the single-$\\alpha$ model to a model with two learning rates - i.e., an $\\alpha^{+}$ and $\\alpha^-$ for positive and negative errors, respectively. Do you believe adding a second learning rate justifies the additional complexity of the model? In other words, what additional experimental phenomena do you think it could account for that a single-$\\alpha$ model could not?\n", "\n", "* **Answer 4b:** \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## **Bonus Problem** " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**a)** Modify the code below to implement an Q-agent with different learning rates for positive and negative prediction errors (see **Q4** for more information).\n", "\n", "* **Bonus Answer a:** *copy/paste your modified code into a code cell below* \n", "\n", "**b)** Run a set of simulations with your modified function with no errors.\n", "\n", "* **Bonus Answer b:** *you get credit if I can run your modified code*" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Q-learning code" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "def update_Qi(Qval, reward, alpha):\n", " \"\"\" update q-value of selected action, given reward and alpha\n", " \"\"\"\n", " return Qval + alpha*(reward - Qval)\n", "\n", "def update_Pall(Qvector, beta):\n", " \"\"\" update vector of action selection probabilities given\n", " associated q-values\n", " \"\"\"\n", " return np.array([np.exp(beta*Q_i) / np.sum(np.exp(beta * Qvector)) for Q_i in Qvector])\n", "\n", "def play_bandits(alpha=.1, beta=.15, preward=[.8, .5, .2], ntrials=1000):\n", " \"\"\" \n", " ::Arguments::\n", " alpha (float): learning rate\n", " beta (float): inverse temperature parameter\n", " preward (list): 1xN vector of P(reward) for each of N bandits\n", " ntrials (int): number of trials to play bandits\n", " ::Returns::\n", " pandasDF (Ntrials x Nbandits), trialwise Q/P values per bandit\n", " \"\"\"\n", " nact = len(preward)\n", " actions = np.arange(nact) \n", " rvalues = np.ones(nact)\n", " \n", " bandits = qlearn.MultiArmedBandit(preward=preward, rvalues=rvalues)\n", " \n", " Qmatrix=np.zeros((ntrials, nact))\n", " Pmatrix=np.zeros_like(Qmatrix)\n", " Qvalues = Qmatrix[0, :]\n", " Pvalues = np.array([1/nact]*nact)\n", "\n", " for t in range(ntrials):\n", " # select bandit arm (action)\n", " act_i = np.random.choice(actions, p=Pvalues)\n", " \n", " # observe feedback\n", " r = bandits.get_feedback(act_i)\n", " # get expected value \n", " Qexpected = Qvalues[act_i]\n", " # update expected value and store in Qvalues array\n", " # Qexpected + alpha * (r - Qexpected)\n", " Qvalues[act_i] = update_Qi(Qexpected, r, alpha)\n", " \n", " # update action selection probabilities \n", " Pvalues = update_Pall(Qvalues, beta)\n", " \n", " # store new values in output matrices\n", " Qmatrix[t, :] = Qvalues\n", " Pmatrix[t, :] = Pvalues\n", " \n", " return make_output_df(Qmatrix, Pmatrix) \n", "\n", "\n", "def make_output_df(Qmatrix, Pmatrix):\n", " \"\"\" generate output dataframe with trialwise Q and P measures for each bandit,\n", " as well as choice selection, and feedback\n", " ::Arguments::\n", " Qmatrix (ndarray): q-value array with dims [Ntrials x Nbandits] \n", " Pmatrix (ndarray): softmax prob array with dims [Ntrials x Nbandits] \n", " ::Returns::\n", " df (DataFrame): pandas df containing Q and P values for each bandit [Ntrials x 2*Nbandits]\n", " \"\"\"\n", " actions = np.arange(Qmatrix.shape[1])\n", " df = pd.concat([pd.DataFrame(dat) for dat in [Qmatrix, Pmatrix]], axis=1)\n", " cols = [['{}{}'.format(x,c) for c in actions] for x in ['q', 'p']]\n", " df.columns = np.hstack(cols)\n", " df.insert(0, 'trial', np.arange(1, df.shape[0]+1))\n", " return df" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "
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trialq0q1q2p0p1p2
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" ], "text/plain": [ " trial q0 q1 q2 p0 p1 p2\n", "0 1 0.9238 0.7231 0.3944 0.3333 0.3333 0.3333\n", "1 2 0.1000 0.0000 0.0000 0.3792 0.3104 0.3104\n", "2 3 0.1000 0.1000 0.0000 0.3548 0.3548 0.2905\n", "3 4 0.1900 0.1000 0.0000 0.3970 0.3316 0.2715\n", "4 5 0.1900 0.1900 0.0000 0.3726 0.3726 0.2548" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = play_bandits(alpha=.1, beta=2, preward=[.85, .75, .65])\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Build your modified Q-agent for bonus pts" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "def update_Qi_mod(Qval, reward, alpha):\n", " \"\"\" update q-value of selected action, given reward and alpha (and ??????)\n", " \"\"\"\n", " ##############################################################\n", " # COPY/PASTE/MODIFY CODE BELOW #\n", " # NOTE: YOU MAY NEED ADDITIONAL ARGUMENTS TO THIS FUNCTION #\n", " ##############################################################\n", " \n", "\n", "def sim_bandits_mod(alpha_pos=.1, beta=.15, preward=[.8, .5, .2], ntrials=1000):\n", " \"\"\" \n", " ::Arguments::\n", " alpha_pos (float): learning rate\n", " ?????? (float): ???????????????????\n", " beta (float): inverse temperature parameter\n", " preward (list): 1xN vector of P(reward) for each of N bandits\n", " ntrials (int): number of trials to play bandits\n", " ::Returns::\n", " pandasDF (Ntrials x Nbandits), trialwise Q/P values per bandit\n", " \"\"\"\n", " nact = len(preward)\n", " actions = np.arange(nact) \n", " rvalues = np.ones(nact)\n", " bandits = qlearn.MultiArmedBandit(preward=preward, rvalues=rvalues)\n", " \n", " Qmatrix=np.zeros((ntrials, nact))\n", " Pmatrix=np.zeros_like(Qmatrix)\n", " Qvalues = Qmatrix[0, :]\n", " Pvalues = np.array([1/nact]*nact)\n", " \n", " ##############################################################\n", " # COPY/PASTE/MODIFY CODE BELOW #\n", " # NOTE: YOU MAY NEED ADDITIONAL ARGUMENTS TO THIS FUNCTION #\n", " ##############################################################\n", " \n", " \n", " # keep this line at the bottom of function \n", " # and uncomment (remove #) when you're ready to\n", " # test your modified model. You get credit if your\n", " # simulation returns a pandas DF\n", " # return make_output_df(Qmatrix, Pmatrix) \n", " \n", " \n", "def make_output_df(Qmatrix, Pmatrix):\n", " \"\"\" generate output dataframe with trialwise Q and P measures for each bandit,\n", " as well as choice selection, and feedback\n", " ::Arguments::\n", " Qmatrix (ndarray): q-value array with dims [Ntrials x Nbandits] \n", " Pmatrix (ndarray): softmax prob array with dims [Ntrials x Nbandits] \n", " ::Returns::\n", " df (DataFrame): pandas df containing Q and P values for each bandit [Ntrials x 2*Nbandits]\n", " \"\"\"\n", " actions = np.arange(Qmatrix.shape[1])\n", " df = pd.concat([pd.DataFrame(dat) for dat in [Qmatrix, Pmatrix]], axis=1)\n", " cols = [['{}{}'.format(x,c) for c in actions] for x in ['q', 'p']]\n", " df.columns = np.hstack(cols)\n", " df.insert(0, 'trial', np.arange(1, df.shape[0]+1))\n", " return df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Test your modified Q-agent" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# df_mod = sim_bandits_mod()\n", "# df_mod.head()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.0" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false } }, "nbformat": 4, "nbformat_minor": 2 }