{ "cells": [ { "cell_type": "markdown", "id": "b6acc10d", "metadata": {}, "source": [ "# Plotting with Scikit-NeuroMSI" ] }, { "cell_type": "markdown", "id": "3fe10105", "metadata": {}, "source": [ "This tutorial covers the basic pipeline for plotting the results of multisensory integration models using `Scikit-NeuroMSI`. We show how the plotting methods embedded in the `NDResult` and `NDResultCollection` objects.\n", "\n", "> **Note**: In this tutorial we assume that you already have a basic knowledge of `matplotlib` for scientific computing." ] }, { "cell_type": "markdown", "id": "4db3c3d5", "metadata": {}, "source": [ "## Visualization of model executions" ] }, { "cell_type": "markdown", "id": "4cc49f7c", "metadata": {}, "source": [ "### Visualization of unidimensional models" ] }, { "cell_type": "markdown", "id": "4859b389", "metadata": {}, "source": [ "For simplicity, let's start our visualization exploration with the outputs of the model developed by Alais and Burr (2004), implemented in the `AlaisBurr2004` class. Let's run the model for equidistant auditory and visual locations: " ] }, { "cell_type": "code", "execution_count": 1, "id": "f8c852d1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from skneuromsi.mle import AlaisBurr2004\n", "\n", "model = AlaisBurr2004()\n", "res = model.run(visual_position=-5, auditory_position=5)\n", "res" ] }, { "cell_type": "markdown", "id": "bb1d3bc3", "metadata": {}, "source": [ "The model outputs one `NDResult` object containing the results of both unisensory estimators and the multisensory estimator. To make sense of our results, let's visualise the output using its built-in `plot` method:" ] }, { "cell_type": "code", "execution_count": 2, "id": "7d0bca98", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([],\n", " dtype=object)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot()" ] }, { "cell_type": "markdown", "id": "2297820d", "metadata": {}, "source": [ "By the default the `plot` method provides useful information about the `NDRresult` object: the modalities (`modes`), model class executed, time points (by default here `Time 0`), spatial points (`positions`) and spatial dimensions (by default here `x0`). All these attributes are defined generically in the package so that they can accomodate to the wide array of multisensory integration models.\n", "\n", "The default axis labels currently can be customized by the user using matplotlib methods. Here we rename the axis to be informative about the original experiment (Alais and Burr,2004) and remove information about the `NDResult` to simplify the visualization:" ] }, { "cell_type": "code", "execution_count": 3, "id": "0ebba150", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, '')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "ax1 = plt.subplot()\n", "res.plot(ax=ax1)\n", "ax1.set_ylabel(\"probability density\")\n", "ax1.set_xlabel(\"stimulus location (deg)\")\n", "ax1.set_title(\"\")\n", "ax1.legend(title=\"\")\n", "plt.suptitle(\"\")" ] }, { "cell_type": "markdown", "id": "feff8f0a", "metadata": {}, "source": [ "The plot shows how both auditory and visual estimates are combined into a single multisensory estimate. Now let's try a different configuration of the model run:" ] }, { "cell_type": "code", "execution_count": 4, "id": "fe493faf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, '')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alter_res = model.run(\n", " visual_position=-5, auditory_position=5, visual_sigma=1, auditory_sigma=3\n", ")\n", "\n", "ax1 = plt.subplot()\n", "alter_res.plot(ax=ax1)\n", "ax1.set_ylabel(\"probability density\")\n", "ax1.set_xlabel(\"stimulus location (deg)\")\n", "ax1.set_title(\"\")\n", "ax1.legend(title=\"\")\n", "plt.suptitle(\"\")" ] }, { "cell_type": "markdown", "id": "9c544a33", "metadata": {}, "source": [ "In this new configuration we increased the precision of the visual estimate. By doing so, the multisensory estimate of the stimulus location is dramatically biased towards the visual estimate. The opposite happens if we decrease the visual stimulus precision:" ] }, { "cell_type": "code", "execution_count": 5, "id": "a192e33a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, '')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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G37bS0lLWr1/Pbbfd5rev0+lk2rRpTJo0id27d7N582buueeegJYcslqtzJ07l23btpGVlYVGo+GGG26ol8x1RbI2nxBCBJE3mRoQN6BVuvjAM0XCgLgB5FpKqVROsSun7wVG2QU5bfDWT9v/eW/7F+ibl0jHxsbyk5/8hFWrVnHFFVcA8K9//YuEhAR+/OMf89VXX/n2tVgsVFRUcM0119CnTx8ABg0aFFBoN910k9/9119/ncTERPbt28fQoUMDOldnIy1TQggRRAfL6pKp2AHsPlUOXFgXn1f/2P5EhOmwa05TYKklr6Lmgs8pQs9tt93Gv//9b2w2GwBvvfUWt9xyCxqN/8d7XFwcd9xxB1OmTOHaa6/llVdeIS8vL6DnOnz4MLfeeiu9e/cmOjqajIwMALKzs1vlWjoyaZkSQoggsdgtnK46DYBZ15Oy6iPoNBr6p0Re8LkHxA5Ao1HQGgtQq9zsPlVBtxjTBZ+3y9CFeVqJgvG8Abj22mtRVZUPP/yQcePG8dVXX/Hyyy83uO+KFSt44IEHWL9+PWvWrOGJJ57g008/5aKLLkKj0aCe08XocPjPUXbttdfSs2dPli9f7qvVGjp0KHa7PbBr7IQkmRJCiCA5VHoIgO6R3TlR6Kk76ZccSZhOe8Hn7h7VHZPOhNFgw64UsT8vkSlDUi74vF2GojS7uy2YjEYjN954I2+99RZHjhxhwIABjB49utH9R40axahRo5g3bx4TJkxg1apVXHTRRSQmJrJ3716/fXft2oVe75meo6SkhIMHD7J8+XIuvfRSAL7++uu2u7AORrr5hBAiSM7u4vuhbsTdkNSYVjm3RtHQz9yPCIOWWiWHfbmWei0PonO47bbb+PDDD3n99dfrFZ57HT9+nHnz5rF582ZOnjzJJ598wuHDh311U5dffjnbtm3jzTff5PDhw8yfP98vuYqNjSU+Pp7XXnuNI0eO8PnnnzN37tx2ub6OQJIpIYQIkqPlnmHl/WL7sS+vAoDB3aJb7fwD4gZgMmhxaHOx1Do4XS51U53R5ZdfTlxcHAcPHuTnP/95g/uEh4dz4MABbrrpJvr3788999zDfffdxy9/+UsApkyZwpNPPsmjjz7KuHHjqKysZMaMGb7jNRoNq1evZvv27QwdOpSHHnqI559/vl2uryNQVPlTpR6LxUJMTAwVFRVER7feLzYhhPCyu+z8OuvXuFU3Dw1/mj/+5xR6rYbX7xiHXts6f+ceKTvCn7b+idMlKuaqu7nz4t5cKV199dTW1nL8+HF69eqF0Rj6XXtdXVOvV7A+v6VlSgghguCk5SRu1U2MIYbTJZ7y1f7JUa2WSAH0jO6JVtFiMNhxUsG+PJm8U4i2IMmUEEIEwdEKTxdfb3NvDuRXAq3bxQeg1+pJj0onwqDFpuRL3ZQQbUSSKSGECIJj5ccA6BPTh8OFVQAMSIlq9efpbe6NyaDFqc3HUusg31Lb6s8hRFcX9GRq6dKlZGRkYDQayczMZOvWrY3u+8MPP3DTTTeRkZGBoigsWrSo3j4LFy5k3LhxREVFkZSUxLRp0zh48GAbXoEQQgTOW3yeEJZOSZUNBYW+SRc+v9S5esX0QlEUwkzFABwuqGr15xCiqwtqMrVmzRrmzp3L/Pnz2bFjByNGjGDKlCkUFhY2uH91dTW9e/fm2WefJSWl4SLKL774gvvuu49vv/2WTz/9FIfDwZVXXonVam3LSxFCiGYrrS2lzFaGBg22mjgAesaHY9Rf+PxS5+od0xsAt64QFReHCipb/TmE6OqCOmnnSy+9xN13382sWbMAWLZsmW+ujMcee6ze/uPGjWPcuHEADT4OnlWtz7Zy5UqSkpLYvn07P/rRj1r5CoQQInDeLr4eUT04UeSZPbpfcut38QEkhycToYvAoi/HrhRxpFBGKAvR2oLWMmW329m+fTuTJ08+E4xGw+TJk9m8eXOrPU9FhWfulri4uEb3sdlsWCwWv5sQQrSVYxV19VLmPhyq63br1wZdfOBZ9LiXuRcmgxabksfJkmpqHa42eS4huqqgJVPFxcW4XC6Sk5P9ticnJ5Ofn98qz+F2u3nwwQe5+OKLm1zReuHChcTExPhuaWlprfL8QgjRkBOWEwCkRfbkeLGnBKF/G7VMgaerT6/VoA0rQkXlaJHUTQnRmoJegN6W7rvvPvbu3cvq1aub3G/evHlUVFT4bjk5Oe0UoRCiq1FVlZOWkwBoXIk43W6ijXqSowNb4DYQ3ropvVGK0IVoC0FLphISEtBqtRQUFPhtLygoaLS4PBCzZ8/mgw8+YMOGDfTo0aPJfcPCwoiOjva7CSFEWyiuKabGWYNW0VJu8bRG9UuORFGUNnvOntE9AXBpynDj4HChFKGLxi1YsICRI0c2uc+JEydQFIVdu3a1S0yhLmjJlMFgYMyYMWRlZfm2ud1usrKymDBhQovPq6oqs2fP5t133+Xzzz+nV69erRGuEEK0Cm+rVI+oHhwrqgagX1LbdfEBxITFEGOIwWTQYleKOFxQJZN3ima74447mDZtmt+2tLQ08vLymiyh6UqCOppv7ty5zJw5k7FjxzJ+/HgWLVqE1Wr1je6bMWMG3bt3Z+HChYCnaH3fvn2+70+fPs2uXbuIjIykb9++gKdrb9WqVbz33ntERUX56q9iYmIwmUxBuEohhDjDm0xlRGew46SnXqp3YkSbP296dDpltnKqNEVYalMpsdpJiGy7rkXRuWm12lbpReosglozNX36dF544QWeeuopRo4cya5du1i/fr2vKD07O5u8vDzf/rm5uYwaNYpRo0aRl5fHCy+8wKhRo7jrrrt8+7z66qtUVFRw2WWX0a1bN99tzZo17X59QghxrpOVnmQqydSdgrrZyHsltH0y1TO6JxpFwRReBuArfBcd22WXXcb999/Pgw8+SGxsLMnJySxfvtzXMBEVFUXfvn3573//C3imCzKbzX7nWLduXaPdzAsWLOCNN97gvffeQ1EUFEVh48aN0s13jqC2TIGntmn27NkNPrZx40a/+xkZGedtmpamayFEqFJVlZMVdcXnziTASmKUkSijvs2fOz0q3fO8Bk8R+vEiK+MyGp8ypqtTVRW7297uz2vQGAKun3vjjTd49NFH2bp1K2vWrOFXv/oV7777LjfccAOPP/44L7/8MrfffjvZ2dkBx/Pwww+zf/9+LBYLK1asADxTDeXm5gZ8rs4s6MmUEEJ0FeW2ciodlWjQUG2NBqzt0ioFZ4rQHUoxelwck5apJtnddn712a/a/XlfnfwqYdrAul9HjBjBE088AXhGpz/77LMkJCRw9913A/DUU0/x6quvsnv37oDjiYyMxGQyYbPZpFuvCZ16agQhhAgl3nqpbpHdyCl1ANC7nZKpBFMC4bpwwvTgoIRjRVKE3lkMHz7c971WqyU+Pp5hw4b5tnlLZxpbqk1cOGmZEkKIdpJd6elm6Rndkx9OeVqG2qtlSlEU0qLSqHIcqCtCT6LUaideitAbZNAYeHXyq0F53kDp9f7dxIqi+G3zdhu63W40Gk29JNrhcLQgUnE2SaaEEKKdnKg4AUBKeA8+q6gBoFc7jOTz6hndk4NlBzFFlEGlpwhdkqmGKYoScHdbR5CYmEhlZSVWq5WICM9773xF5AaDAZdLliBqinTzCSFEO/G2TGmciQDER4YR3Q7F517p0Z4idF1YCYDUTXVBmZmZhIeH8/jjj3P06FFWrVrFypUrmzwmIyOD3bt3c/DgQYqLi6UlqwGSTAkhRDuodlRTWlsKQG21GYA+7dTF5+Ud0edQPGv0yfQIXU9cXBz/+Mc/+Oijjxg2bBj//Oc/WbBgQZPH3H333QwYMICxY8eSmJjIpk2b2ifYDkS6+YQQoh2crjoNQGxYLKdL3UD7dvEBpESkoFW0aHV2nFRyvKjzdWN1NedOIQSepV7OdXad1LRp0+rNaO4d+QeeuaXOTrASExP55JNPmjxnVyctU0II0Q5OVZ4CPMvIHC/xFp9HtmsMOo2ObhHdMOo1OJRiymvslFe3/1xKQnQ2kkwJIUQ7OFXlSaaSw1PJK/fMfJ4RH97ucXSP7I5GUQiPKAcgu7S63WMQorORZEoIIdqBt5svTE1ERSXaqCfG1H7F5149onoAYDBWAHCyRJIpIS6UJFNCCNHGVFX1dfO5HJ4lXNLjwgNeNqQ1eJMpVedZVkZapoS4cJJMCSFEGyuzlVHtrEaDhqoqT51UzyB08QH0iPQkUza1FBUXJ0tkRJ+XFFR3DKH4OkkyJYQQbczbKpUckczpMk/Bd1pccJKpOGMcJp0Jgw4clJJbXovT5Q5KLKHCO1t4dbW00nUE3tfp3Jnfg0mmRhBCiDbmrZfqEdmD7Uc9HwQ949t3WgQvRVHoHtmdGscRNIYynPZEcstrSQ9SS1ko0Gq1mM1m39p14eHB6YIVTVNVlerqagoLCzGbzWi12mCH5CPJlBBCtDFvy1SsIYUqmwMFhe5mU9Di6RHZgyPlR4iIqMBmh5Ol1i6dTAGkpKQAshhwR2A2m32vV6iQZEoIIdqYd1oEjSsegFSzCYMueFUW3aO6A6A1eGZklyJ0T4tdt27dSEpKkuVSQpherw+pFikvSaaEEKINOd1OcqtyAbDbYoEq0oNUL+XlLUJ3aOpG9Mn0CD5arTYkP6xFaJMCdCGEaEOF1YW4VBcGrYGyCs/yLcEayeflnR7BSSVubNIyJcQFkmRKCCHakG8Zmcge5JTVAMEbyecVoY/AHGYmTKfBoZRQVm2noka6toRoKUmmhBCiDXlH8nULT+V0uSeZCnbLFNQtK6NRiAi3AJAjrVNCtJgkU0II0YbyrHkAGJVEXG6VcIOO+AhDkKOCbhHdADDVJVOyrIwQLSfJlBBCtCFv8bnLEQMEbxmZc3WP9IzoU/TlAJwul2RKiJaSZEoIIdqIy+2ioLoAgNqaaCD49VJeKRGeeXocSgkAp+rquYQQgZNkSggh2khRTZFnJJ/GQHmlZyRfj9jgTdZ5Nm/LlF2twI2dnNLqkFzzTIiOQJIpIYRoI94uvpSIFE6X1wIEdebzs0UaIonSR2HQaXApZdQ4XJRVy4g+IVpCkikhhGgjuVZPMpUUnkKhxQZAWmxodPMBpEamoigKkZGVAJwqk7opIVpCkikhhGgj+dZ8AEwkoKISGaYj2hQ6C0/4RvSZvNMjSN2UEC0hyZQQQrQRbzef4ooDoEdsaIzk80qNTAVkRJ8QF0qSKSGEaAOqqvq6+ew2z0i+UKmX8uoW6WmZkhF9QlwYSaaEEKINlNaWYnfZ0SgaLJWeOqlQGcnnlRrhaZmqdZeh4pIRfUK0kCRTQgjRBrwznyeHJ5Nbbgc83XyhxBxmxqg1oteBSymXEX1CtJAkU0II0Qa89VLJ4SnkWzzTIoRay5SiKGdG9EXIiD4hWkqSKSGEaAPelimTkohb9azJZw7XBzmq+rwj+sLDZUSfEC0lyZQQQrQBb8uUxh0LeFqlQmkkn5d3RJ/GUA7IiD4hWkKSKSGEaAO+kXy1ngWOQ20kn5e3ZcopI/qEaDFJpoQQopVZ7BasDisKClZrFBB6xede3jX6qt0lqLhlRJ8QLSDJlBBCtLK8Kk+9VLwxnrxyJwDdQ6z43CveFI9O0aHVunErldQ4XJRa7cEOS4gORZIpIYRoZb5pESJSyLd4us1CbSSfl0bRkBSehKIoREVWAZBbtyizEKJ5JJkSQohW5k2mIjQJuNwqRr2W+AhDkKNqXEpECgAR4VYATpdL3ZQQgQh6MrV06VIyMjIwGo1kZmaydevWRvf94YcfuOmmm8jIyEBRFBYtWnTB5xRCiNbmXeBY4/KM5OtuDs2RfF7eInStoQKAXEmmhAhIUJOpNWvWMHfuXObPn8+OHTsYMWIEU6ZMobCwsMH9q6ur6d27N88++ywpKSmtck4hhGhthdWe3zd2W2gXn3t5W6ZcmlJAkikhAhXUZOqll17i7rvvZtasWQwePJhly5YRHh7O66+/3uD+48aN4/nnn+eWW24hLCysVc4phBCtyel2UlRdBEB1tSeZCtXicy9vMmVTPclUXoXUTAkRiKAlU3a7ne3btzN58uQzwWg0TJ48mc2bN7frOW02GxaLxe8mhBAtUVxTjBs3Bo2B0kodAKkxxiBH1bQzyVQlbuyUWG3U2F1BjkqIjiNoyVRxcTEul4vk5GS/7cnJyeTn57frORcuXEhMTIzvlpaW1qLnF0KIguoCAJLCk8i32ADoFqITdnpF6COI1Eei1SiEhXnW6MurkK4+IZor6AXooWDevHlUVFT4bjk5OcEOSQjRQXmLz82GJGodLjSKQnJUw2UJocTbOhUV6RnRJ9MjCNF8umA9cUJCAlqtloKCAr/tBQUFjRaXt9U5w8LCGq3BEkKIQBRYPb9/dKoZgKSoMHTa0P+7NSUihSPlRzAaPS1TUoQuRPMF7X+4wWBgzJgxZGVl+ba53W6ysrKYMGFCyJxTCCEC4e3m07jMAKTEhHYXn5d3egT05YDMNSVEIILWMgUwd+5cZs6cydixYxk/fjyLFi3CarUya9YsAGbMmEH37t1ZuHAh4Ckw37dvn+/706dPs2vXLiIjI+nbt2+zzimEEG3Jm0w56qZF6G4O7eJzr+RwT62pA5keQYhABTWZmj59OkVFRTz11FPk5+czcuRI1q9f7ysgz87ORqM503iWm5vLqFGjfPdfeOEFXnjhBSZNmsTGjRubdU4hhGgrdped0lpPMlJVHQnYO0zLlLdmyrPgsUq+pRa3W0WjCd3JRoUIFUFNpgBmz57N7NmzG3zMmyB5ZWRkNGs186bOKYQQbcXbKhWhi6C41JOEdAvxaRG8ksKT0KDBhQONtgaHK5ziKhtJ0R0jfiGCKfSrIoUQooPwFp8nmBIpqrIDkBri0yJ46TQ6EsITUBSIrlvwWOqmhGgeSaaEEKKVeFumInUJuFWVMJ2W2HB9kKNqvpRwT1dfeLgnmZLpEYRoHkmmhBCilXiTKX3dtAipZmNIL3B8Lm/dlE4WPBYiIJJMCSFEK/FO2OlymAHo1kGKz728yZSqLQekm0+I5pJkSgghWom3Zso7LUJKByk+9/ImUzVqCSAtU0I0lyRTQgjRCqod1VQ6PLOHW6oiAOjeQYrPvbw1U9WuMlScWGodVNmcQY5KiNAnyZQQQrSC/GpPF1+MIYYiixvoeC1TMWExGLVGFAUiIzytUtI6JcT5STIlhBCtoLC6EIA4YyIVNQ4AUjtYzZSiKCRHeCY4joqQ6RGEaC5JpoQQohV4i8+NShwAZpMBk0EbzJBaxNvVZzBaAGmZEqI5JJkSQohW4C0+16meZKpbB1mT71zdIj0LHmt0Mj2CEM0lyZQQQrQC7xxTLns00PG6+LySwpMAcCrlAORVyMSdQpxPwMnUhg0b2iIOIYTosFRV9XXz1dZ4pkXoqC1TyeGemqlqt2d6hEKLDZf7/GuiCtGVBZxMTZ06lT59+vDMM8+Qk5PTFjEJIUSHUumopNZVi4KCpcrTItVRFjg+lzeZqnVVodU6cLrdFFfZghyVEKEt4GTq9OnTzJ49m3/961/07t2bKVOm8Pbbb2O329siPiGECHneVqk4Yxz5Fs+8TB1lgeNzhevDidJHgQLmqGpA6qaEOJ+Ak6mEhAQeeughdu3axZYtW+jfvz+//vWvSU1N5YEHHuD7779viziFECJkeYvPY/SJ2J0uNIpCYmRYkKNqOe/0CKZwKwD5UjclRJMuqAB99OjRzJs3j9mzZ1NVVcXrr7/OmDFjuPTSS/nhhx9aK0YhhAhp3uLzMCUWgORoIzptxx3f4+3qMxjqpkeQZEqIJrXof7vD4eBf//oXV111FT179uTjjz9myZIlFBQUcOTIEXr27MnNN9/c2rEKIURI8nbzKS4z0HHrpby8LVPUTY+QXyHdfEI0RRfoAffffz///Oc/UVWV22+/nf/3//4fQ4cO9T0eERHBCy+8QGpqaqsGKoQQocrbMuWsmxahwydTdS1TDqUMkJYpIc4n4GRq3759LF68mBtvvJGwsIZrAhISEmQKBSFEl6Cqqm8pmepqz7QIHbX43Ms7C3qlsxiAkiobNqeLMF3Hm9FdiPYQcDff/Pnzufnmm+slUk6nky+//BIAnU7HpEmTWidCIYQIYaW1pTjcDjSKhvJKz+/FjrbA8bmSIjwTd9pdNZjCPOsMFlTI9AhCNCbgZOrHP/4xpaWl9bZXVFTw4x//uFWCEkKIjsLbxZdgTKSosmMucHyuMG0Y5jAzKBAd6ZkeIU/qpoRoVMDJlKqqKIpSb3tJSQkRERGtEpQQQnQU3uLzSF0CKipGvRZzuD7IUV04b92UyVQFyLIyQjSl2TVTN954IwCKonDHHXf4dfO5XC52797NxIkTWz9CIYQIYd6WKb1qBqBbjKnBPzg7muTwZA6WHURvsADdyZWWKSEa1exkKiYmBvC0TEVFRWEynWnGNhgMXHTRRdx9992tH6EQQoQw74SduDxzTKV28HopL+/0CKrWOz2CtEwJ0ZhmJ1MrVqwAICMjg4cffli69IQQgjMtU/Za7wLHHbteysu3Rh+eGtncckmmhGhMwFMjzJ8/vy3iEEKIDsfpdlJUXQRAdXUk0PHnmPLytkxVOYtRUamyOaisdRBl7Pj1YEK0tmYlU6NHjyYrK4vY2FhGjRrVZD3Ajh07Wi04IYQIZcU1xbhxY9AYKK7QAc4OP8eUV5IpCQUFu9uGOdxFRbWO/IpaSaaEaECzkqnrr7/eV3A+bdq0toxHCCE6DG8XX1xYAsdsTgBSojtHy5ReqyfWGEtpbSlRkVYqqmPIq6ilX3JUsEMTIuQ0K5k6u2tPuvmEEMLDOy1CuDYBgNhwAyZD55klPCU8hdLaUoymKiBG5poSohEBzzOVk5PDqVOnfPe3bt3Kgw8+yGuvvdaqgQkhRKjzLiOjdZsBz7QInYm3bkqrtwAy15QQjQk4mfr5z3/uW3cvPz+fyZMns3XrVn73u9/x+9//vtUDFEKIUOVtmVKdnqljUs2do4vPKyncs6yMW+tZ8DhPRvQJ0aCAk6m9e/cyfvx4AN5++22GDRvGN998w1tvvcXKlStbOz4hhAhZ3popm3dahM7WMuWdHkH1TI+QZ6lFVdVghiRESAo4mXI4HL5i9M8++4zrrrsOgIEDB5KXl9e60QkhRIiyu+yU1nqSjMoqz7x73TpZy1RKRAoAFkcJGg3YnS5KrfYgRyVE6Ak4mRoyZAjLli3jq6++4tNPP2Xq1KkA5ObmEh8f3+oBCiFEKPK2Spl0JooqPb9KO8scU14JpgQUFBxuO7GRntGKUjclRH0BJ1PPPfccf/nLX7jsssu49dZbGTFiBADvv/++r/tPCCE6O2/xuVmfiMPpRqtRSIrqXMmUTqMjweQZqRgVYQUgt1xG9AlxroBnQL/ssssoLi7GYrEQGxvr237PPfcQHh7eqsEJIUSo8hafG5U4AJKjjGg1HX+B43MlRyRTVFOE0VgJxJBvkZYpIc4VcMsUgFar9UukwLNmX1JSUqsEJYQQoc7bzad1e34XdrZ6KS9vEbqmbnoEWaNPiPoCTqYKCgq4/fbbSU1NRafTodVq/W5CCNEVFFg9yZTT3jlH8nl5kymnxjM9Qr5M3ClEPQF3891xxx1kZ2fz5JNP0q1btybX6RNCiM7K281XUzctQmebY8rLm0zVuD0jFwsrbThdbnTaFnVsCNEpBfy/4euvv+att97iV7/6FdOmTeP666/3uwVq6dKlZGRkYDQayczMZOvWrU3u/8477zBw4ECMRiPDhg3jo48+8nu8qqqK2bNn06NHD0wmE4MHD2bZsmUBxyWEEI2pdlRT6agEwFJZNy1CJ22Z8k2PYC9Br9PgVlUKK21BjkqI0BJwMpWWltZqk7atWbOGuXPnMn/+fHbs2MGIESOYMmUKhYWFDe7/zTffcOutt3LnnXeyc+dOpk2bxrRp09i7d69vn7lz57J+/Xr+8Y9/sH//fh588EFmz57N+++/3yoxCyGEt14qUh9FaZVnW2ebFsErzhiHVtHiUB0kRHnmmJI1+oTwF3AytWjRIh577DFOnDhxwU/+0ksvcffddzNr1ixfC1J4eDivv/56g/u/8sorTJ06lUceeYRBgwbxhz/8gdGjR7NkyRLfPt988w0zZ87ksssuIyMjg3vuuYcRI0act8VLCCGay5tMRekSUFEx6bXEmPRBjqptaDVaEk2JAETUTY8gc00J4S/gZGr69Ols3LiRPn36EBUVRVxcnN+tuex2O9u3b2fy5MlngtFomDx5Mps3b27wmM2bN/vtDzBlyhS//SdOnMj777/P6dOnUVWVDRs2cOjQIa688spGY7HZbFgsFr+bEEI0xlt8Hobnd143s6lT1496FzwOM9YteCwj+oTwE3AB+qJFi1rliYuLi3G5XCQnJ/ttT05O5sCBAw0ek5+f3+D++fn5vvuLFy/mnnvuoUePHuh0OjQaDcuXL+dHP/pRo7EsXLiQp59++gKuRgjRlXiLz3HVLXDcSbv4vLxF6IquLpmSlikh/AScTM2cObMt4mg1ixcv5ttvv+X999+nZ8+efPnll9x3332kpqbWa9XymjdvHnPnzvXdt1gspKWltVfIQogOxtvN57RHA523+NzLNz2C4pkeQWqmhPAXcDIFcPToUVasWMHRo0d55ZVXSEpK4r///S/p6ekMGTKkWedISEhAq9VSUFDgt72goICUlJQGj0lJSWly/5qaGh5//HHeffddrr76agCGDx/Orl27eOGFFxpNpsLCwnyLNwshRFNUVfUlU9XWujmmOum0CF7ebj6ruwSAsmo7tQ4XRr3MLSgEtKBm6osvvmDYsGFs2bKFtWvXUlXlGcry/fffM3/+/Gafx2AwMGbMGLKysnzb3G43WVlZTJgwocFjJkyY4Lc/wKeffurb3+Fw4HA40Gj8L0ur1eJ2u5sdmxBCNKbSUUmNswYFhbJKT4tUV2mZKreVEBXmSaCkq0+IMwJOph577DGeeeYZPv30UwwGg2/75ZdfzrfffhvQuebOncvy5ct544032L9/P7/61a+wWq3MmjULgBkzZjBv3jzf/nPmzGH9+vW8+OKLHDhwgAULFrBt2zZmz54NQHR0NJMmTeKRRx5h48aNHD9+nJUrV/Lmm29yww03BHqpQghRj7deKtpgxmrzTBPTWadF8IozxqHX6HGpLmKjPXNMyYLHQpwRcDffnj17WLVqVb3tSUlJFBcXB3Su6dOnU1RUxFNPPUV+fj4jR45k/fr1viLz7Oxsv1amiRMnsmrVKp544gkef/xx+vXrx7p16xg6dKhvn9WrVzNv3jxuu+02SktL6dmzJ3/84x+59957A71UIYSoxzuSL1wTD0BchKHTd3cpikKiKZFcay4REVVQZCZfWqaE8Ak4mTKbzeTl5dGrVy+/7Tt37qR79+4BBzB79mxfy9K5Nm7cWG/bzTffzM0339zo+VJSUlixYkXAcQghRHN466X01C1w3Mm7+LxSIlLIteaiN1gAs7RMCXGWgLv5brnlFn7729+Sn5+Poii43W42bdrEww8/zIwZM9oiRiGECBneZAqHGej8XXxeSeFJwFnTI1ikZUoIr4CTqT/96U8MHDiQtLQ0qqqqGDx4MD/60Y+YOHEiTzzxRFvEKIQQIcPbzWezeRc47jotUwB26qZHKK9ptaXFhOjoAu7mMxgMLF++nCeffJK9e/dSVVXFqFGj6NevX1vEJ4QQIePsaRGsVu8Cx12jZco7os/qKkFBocbhoqLGgTnccJ4jhej8WjTPFEB6ejrp6emtGYsQQoS00tpSHG4HGjSUVnqSqK7SMuVNpkprS4iP1FFc5SC3vFaSKSFoZjJ19uzg5/PSSy+1OBghhAhlvgWO9XFUuUCn0ZAQ2TUm/I0Ji8GgNWB32TFH11BcpSOvoobBqdHBDk2IoGtWMrVz506/+zt27MDpdDJgwAAADh06hFarZcyYMa0foRBChAjvHFPeaRGSo41oNZ13geOzKYpCSngK2ZXZRJisQAy5Mj2CEEAzk6kNGzb4vn/ppZeIiorijTfeIDbWMzS4rKyMWbNmcemll7ZNlEIIEQIKqwsB0Lq90yJ0jXopr+TwZLIrs9EZKoAY8mR6BCGAFozme/HFF1m4cKEvkQKIjY3lmWee4cUXX2zV4IQQIpR4W6ZUZwzQ+dfkO5d3RJ9bWw7IkjJCeAWcTFksFoqKiuptLyoqorKyslWCEkKIUOStmaqpqZsWoYtM2OnlLUKvVUsBKKysxemSdU+FCDiZuuGGG5g1axZr167l1KlTnDp1in//+9/ceeed3HjjjW0RoxBCBJ3T7aSo2vOHpKUqHOi6LVMVjiIMOi0ut0pRlS3IUQkRfAFPjbBs2TIefvhhfv7zn+NwODwn0em48847ef7551s9QCGECAXFNcW4caNT9FisnhF8XWUpGa/kCE/LVLmtnORoDTmlLnLLa7rcz0GIcwWcTIWHh/PnP/+Z559/nqNHjwLQp08fIiIiWj04IYQIFd56qShdAhYgwqAj2tjiqfo6pAh9BJH6SKocVURFWqHUIHVTQnABk3ZGREQwfPjw1oxFCCFClrdeKkyJAzxdfIrSNaZFOFtyeDJVFVUYTVVAHHnlkkwJEXDNlBBCdEXelimN2wx0vS4+L2/dlEZXDkBuhUyPIIQkU0II0QzelimnzTMtQvcusozMubx1Uy5NOYC0TAmBJFNCCNEs3pap6hpPfWhKF5uw0ysl3NMyVeMuAaC8xk6N3RXMkIQIuoCTKavV2hZxCCFEyLK5bJTbykEFS6Unmepqc0x5eVumimsLfQX40tUnurqAk6nk5GR+8Ytf8PXXX7dFPEIIEXIKrZ5lZMK04dTa9SgoJMd0jQWOz+WduLPaWU2ip8dTuvpElxdwMvWPf/yD0tJSLr/8cvr378+zzz5Lbm5uW8QmhBAhIb/a08UXofUscJwQFUaYThvMkILGoDUQZ/SMaIyMqAKkZUqIgJOpadOmsW7dOk6fPs29997LqlWr6NmzJ9dccw1r167F6XS2RZxCCBE03nopPZ41SVO7aL2Ul7duyhBmAaRlSogWF6AnJiYyd+5cdu/ezUsvvcRnn33GT3/6U1JTU3nqqaeorq5uzTiFECJovCP5FKcZgG5dPJny1k0pugoA8i3SMiW6thZP2llQUMAbb7zBypUrOXnyJD/96U+58847OXXqFM899xzffvstn3zySWvGKoQQQeFtmbLZPAscd+ui0yJ4eeeasitlAOSW16KqapecxFQIaEEytXbtWlasWMHHH3/M4MGD+fWvf83//u//YjabfftMnDiRQYMGtWacQggRNAVWT8uUtcqTTHXVkXxe3iL0KmcxGkXB5nRRVu0gLsIQ5MiECI6Ak6lZs2Zxyy23sGnTJsaNG9fgPqmpqfzud7+74OCEECLYquxVWJ1WVFWlwupJorqZu3Y3n7dlqqimkKSoMPItteSW10gyJbqsgJOpvLw8wsPDm9zHZDIxf/78FgclhBChwtvFF6EzU+PWYdBpie/iSUO8MR6tosXhdpAabSffArnlNQztHhPs0IQIioAL0KOioigsLKy3vaSkBK22aw4VFkJ0Xt7ic6N3gePorrnA8dm0Gi1J4UkAhJsqAci3yIg+0XUFnEypqtrgdpvNhsHQtf9aE0J0Pt6WKZ3qmRahq3fxeXnrpvR10yPkyvQIogtrdjff//3f/wGgKAp//etfiYyM9D3mcrn48ssvGThwYOtHKIQQQeRtmXI7PF1YqV18JJ9XSkQKFHkXPO5GnkzcKbqwZidTL7/8MuBpmVq2bJlfl57BYCAjI4Nly5a1foRCCBFE3papmhoZyXc2b8uUnVIACi02HC43em2Lpy8UosNqdjJ1/PhxAH784x+zdu1aYmNj2ywoIYQIBaqqUljtqRGtrPIMvEnp4hN2enlH9JXbizDqtdQ6XBRYaukR2/QAJSE6o4D/hNiwYYMkUkKILqG0thS72w6qQk2tJ0noLt18wJmWqeKaYpKjPfWyeRVSNyW6pma1TM2dO5c//OEPREREMHfu3Cb3femll1olMCGECDZvq1S4No5qtJhNBkwGGbUMEBMWQ5g2DJvLhjmympMliiRTostqVjK1c+dOHA6H7/vGdPXhwkKIzsVbL+WbFkFG8vkoikJyeDLZldkYw6uAKHLLpQhddE3NSqY2bNjQ4PdCCNGZeUfyaVxmQIrPz5USkUJ2ZTYaXTkQRZ4kU6KLkmEXQgjRCG/LlNMeDUjL1Lm8dVMubTkgNVOi62pWy9SNN97Y7BOuXbu2xcEIIUQo8bZMVVd7pkXoJi1Tfrwj+mrcJQBYah1U2ZxEhgW8UpkQHVqz3vExMbLekhCia3G4HRRVF4EKFmsEAKnSMuUnOcLTMlVSW0RsuIGyajv5FTX0TYoKcmRCtK9mJVMrVqxo6ziEECKkFFUX4caNRjHgcprQaRSSoiSZOltKeN1cU7Zy0mI0lFXD6fJaSaZElyM1U0II0YA8ax4AkdoEFBRSok1oNTJi+Wzh+nCi9J7EKSqiGkBG9IkuqVnJ1OjRoykrKwNg1KhRjB49utFboJYuXUpGRgZGo5HMzEy2bt3a5P7vvPMOAwcOxGg0MmzYMD766KN6++zfv5/rrruOmJgYIiIiGDduHNnZ2QHHJoTourzJlF71TIvQXbr4GtQtshsAYcYKAE6XSTIlup5mdfNdf/31hIWFATBt2rRWe/I1a9Ywd+5cli1bRmZmJosWLWLKlCkcPHiQpKSkevt/88033HrrrSxcuJBrrrmGVatWMW3aNHbs2MHQoUMBOHr0KJdccgl33nknTz/9NNHR0fzwww8YjfKLUAjRfN6RfG6HGYDusVJ83pBuEd04VHYIdOVALKelZUp0QYqqqmqwnjwzM5Nx48axZMkSANxuN2lpadx///089thj9fafPn06VquVDz74wLftoosuYuTIkb5Flm+55Rb0ej1///vfWxyXxWIhJiaGiooKoqOjW3weIUTH9YfNf+C45TjhVVdRXNKd2T/uxyX9EoIdVsj5+MTHrDm4hiGxo/hu11g0isKbvxiPThY8FkEQrM/vFr/bt23bxt///nf+/ve/s3379oCPt9vtbN++ncmTJ58JRqNh8uTJbN68ucFjNm/e7Lc/wJQpU3z7u91uPvzwQ/r378+UKVNISkoiMzOTdevWNRmLzWbDYrH43YQQXZeqqr5uvsqqSEBaphrTLcLTzVduL8Sk1+JWVZlvSnQ5ASdTp06d4tJLL2X8+PHMmTOHOXPmMG7cOC655BJOnTrV7PMUFxfjcrlITk72256cnEx+fn6Dx+Tn5ze5f2FhIVVVVTz77LNMnTqVTz75hBtuuIEbb7yRL774otFYFi5cSExMjO+WlpbW7OsQQnQ+FbYKal21uN1Qa/NMi9AtRkoFGuJNpvKr8+kW4ykHka4+0dUEnEzdddddOBwO9u/fT2lpKaWlpezfvx+3281dd93VFjE2m9vtBjw1Xg899BAjR47kscce45prrvF1AzZk3rx5VFRU+G45OTntFbIQIgR5W6XCtXEo6IiPDMOolwWOG5JgSkCv0eNSXZijPS1SUoQuupqAp6n94osv+OabbxgwYIBv24ABA1i8eDGXXnpps8+TkJCAVquloKDAb3tBQQEpKSkNHpOSktLk/gkJCeh0OgYPHuy3z6BBg/j6668bjSUsLMxXYC+EEN5kykg8AD3M0sXXGEVRSIlIIacyB5PJAkTK9Aiiywm4ZSotLQ2Hw1Fvu8vlIjU1tdnnMRgMjBkzhqysLN82t9tNVlYWEyZMaPCYCRMm+O0P8Omnn/r2NxgMjBs3joMHD/rtc+jQIXr27Nns2IQQXZs3mVLqFjiWeqmmebv6NPpyQLr5RNcTcDL1/PPPc//997Nt2zbftm3btjFnzhxeeOGFgM41d+5cli9fzhtvvMH+/fv51a9+hdVqZdasWQDMmDGDefPm+fafM2cO69ev58UXX+TAgQMsWLCAbdu2MXv2bN8+jzzyCGvWrGH58uUcOXKEJUuW8J///Idf//rXgV6qEKKL8k6LYLd5ltLqLi1TTfImU05NKQC5FbUEcaC4EO2uWd18sbGxKMqZmX+tViuZmZnodJ7DnU4nOp2OX/ziFwHNQzV9+nSKiop46qmnyM/PZ+TIkaxfv95XZJ6dnY1GcybfmzhxIqtWreKJJ57g8ccfp1+/fqxbt843xxTADTfcwLJly1i4cCEPPPAAAwYM4N///jeXXHJJs+MSQnRt3papKqtnJF+qJFNN8iZTlc5idBoNdqeLokobSdFStC+6hmbNM/XGG280+4QzZ868oIBCgcwzJUTXVeus5ddZv8btVrHm3I4WE6/NGEu0UR/s0EJWTmUO87+ZT4QugrCSOzlVXsOjUwcyOj022KGJLiZYn9/NapnqDAmSEEI0R0G1Z5CLXolAi4koo14SqfNIDk9GQcHqtNLD7OZUuWdEnyRToqsIeDTf2Wpra7Hb7X7bpCVHCNGRebv4TJp4KpF6qeYwaA3Em+IprikmPLwSMEgRuuhSAi5At1qtzJ49m6SkJCIiIoiNjfW7CSFER5ZX5UmmtG7vAseSTDWHt25KZ/AseCzTI4iuJOBk6tFHH+Xzzz/n1VdfJSwsjL/+9a88/fTTpKam8uabb7ZFjEII0W68LVNOu2cknxSfN09qhGdqHLemDPB088mIPtFVBNzN95///Ic333yTyy67jFmzZnHppZfSt29fevbsyVtvvcVtt93WFnEKIUS78CZT1dVRgMwx1VzdIj0tU9XuYhQGYLU7qahxYA43BDkyIdpewC1TpaWl9O7dG/DUR5WWeuYVueSSS/jyyy9bNzohhGhHbtVNvjUfVYUq7wLH0jLVLN5uvoKaPJKiPStKnJJlZUQXEXAy1bt3b44fPw7AwIEDefvttwFPi5XZbG7V4IQQoj0V1xTjUl243RpwR2LQaUmIlJaV5vAmU6W1paTEeNYxlLop0VUEnEzNmjWL77//HoDHHnuMpUuXYjQaeeihh3jkkUdaPUAhhGgvZxY4jkdBQ3ez0W/CYtG4SEMkkXpPa15kZBUgy8qIriPgmqmHHnrI9/3kyZPZv38/O3bsoG/fvgwfPrxVgxNCiPaUW5ULgF6VkXwtkRqZyqGyQ+jDLEAMp6WbT3QRFzTPFEBGRgYZGRmtEIoQQgSXN5nC4ZnmRYrPA9MtohuHyg6BtgyIkZYp0WUE3M0HkJWVxTXXXEOfPn3o06cP11xzDZ999llrxyaEEO3Km0zV1nimRUiLDQ9mOB1OSkQKADZKACirtlNtdwYzJCHaRcDJ1J///GemTp1KVFQUc+bMYc6cOURHR3PVVVexdOnStohRCCHanKqqnLaeRlWhotIzLUIPSaYC4i1CL6rJJ7ZuSgTp6hNdQcDdfH/60594+eWXmT17tm/bAw88wMUXX8yf/vQn7rvvvlYNUAgh2kNJbQl2lx2XWwFXNAadlqSosGCH1aGkRnom7iyoLqBnbBhl1XZyyqrplxwV5MiEaFsBt0yVl5czderUetuvvPJKKioqWiUoIYRob94uvnBNPApauptNaDQyki8Q8cZ4wrRhuFQX5qhqAHJKpWVKdH4BJ1PXXXcd7777br3t7733Htdcc02rBCWEEO3tdNVpAPRqPABpcVJ8HihFUege2R0Ag7EcgJzS6iBGJET7aFY33//93//5vh88eDB//OMf2bhxIxMmTADg22+/ZdOmTfzmN79pmyiFEKKNeZMptW4kn9RLtUxqZCrHKo6h6kqBKHLKJJkSnV+zkqmXX37Z735sbCz79u1j3759vm1ms5nXX3+dJ554onUjFEKIduDt5quu9o7kk5aplvC2TNWqRUBPKmocVNQ4iDHpgxuYEG2oWcmUd/kYIYTojFRVJdeai6qqVFVFogXS4qRlqiV6RPYAoKA6j6QoI4WVtZwqqybGFBPkyIRoOy2aZ8pLVVVUVW2tWIQQIii8I/mcLg0atxmTXkt8hKzJ1xLelqnC6kJSYz1/r0vdlOjsWpRMvfnmmwwbNgyTyYTJZGL48OH8/e9/b+3YhBCiXXjrpcI1cShoSIsLlzX5WigmLIZwXThu3MREyog+0TUEPM/USy+9xJNPPsns2bO5+OKLAfj666+59957KS4u9lu7TwghOoIza/IlADLz+YXwjug7XH64bkRftBShi04v4GRq8eLFvPrqq8yYMcO37brrrmPIkCEsWLBAkikhRIfjbZly2c2ATItwoVIjUzlcfhi3thSIJqe0GlVVpbVPdFoBd/Pl5eUxceLEetsnTpxIXl5eqwQlhBDt6dyRfDItwoXxFqFb3YVoNQo1DhclVnuQoxKi7QScTPXt25e333673vY1a9bQr1+/VglKCCHai6qq5Fbl4lZVqqo8y55IN9+F8S4rk2fNpVuMp5VPitBFZxZwN9/TTz/N9OnT+fLLL301U5s2bSIrK6vBJEsIIUJZSW0Jdrcdp0tBh5koo55oU8C/GsVZukd5RvQV1xQzxKznVBnklNUwKj02yJEJ0TYCbpm66aab2Lp1KwkJCaxbt45169aRkJDA1q1bueGGG9oiRiGEaDO+kXxKgmckX6yM5LtQ0YZoovRRqKhERloAaZkSnVtAf345HA5++ctf8uSTT/KPf/yjrWISQoh2c6ryFAC6ujX5esjM560iNTKVg2UH0YeVAzGckhF9ohMLqGVKr9fz73//u61iEUKIdudNplz2OEBmPm8tPaI8ReguTSkAp8pqcLtlkmfROQXczTdt2jTWrVvXBqEIIUT7y6nMAcBa5RnJ1zNekqnWkBrhKUK3OAsw6LQ4XG4KKmuDHJUQbSPgKst+/frx+9//nk2bNjFmzBgiIiL8Hn/ggQdaLTghhGhLDreDfGs+TpdKbY0ZPQrp0jLVKrxF6LnW03Q3mzheXEVOaY1vdJ8QnUnAydTf/vY3zGYz27dvZ/v27X6PKYoiyZQQosPIq8rDjRtFDUNLJMnRYRj12mCH1Sl455oqrS1lZKzC8WI4UWJlfK+4IEcmROsLOJk6fvx4W8QhhBDtzlsvZVQSsaGQHh9xniNEc4Xrw4kzxlFaW0pkRAWg4WSJNdhhCdEmWrTQsZeqqqiqFBQKITomb72U4vSsyddTuvhaVXpUOgAaQwkAJ0pkRJ/onFqUTP3tb39j6NChGI1GjEYjQ4cO5a9//WtrxyaEEG3qVJWnZaq2bhmZjARJplpTWlQaADalCICSKhtVNmcwQxKiTQTczffUU0/x0ksvcf/99zNhwgQANm/ezEMPPUR2dja///3vWz1IIYRoCzmVOaiqSlWVGR2QHifdfK3JOz1CQfVpEqNGU1RZy8kSK0NSY4IcmRCtK+Bk6tVXX2X58uXceuutvm3XXXcdw4cP5/7775dkSgjRIVTYKrDYLdidKhp3HBEGHQmRhmCH1al4W6ZOV52mb1xYXTJVLcmU6HQC7uZzOByMHTu23vYxY8bgdErzrRCiY/B28YUpsWjQkx4vy8i0tuTwZAxaAw63g9joGsAzok+IzibgZOr222/n1Vdfrbf9tdde47bbbmuVoIQQoq15R/Lp3YmAFJ+3BUVRSIv0tE4ZjGUAZEsRuuiEWrQ0+t/+9jc++eQTLrroIgC2bNlCdnY2M2bMYO7cub79XnrppdaJUgghWpl3JJ/THgtAzwSpl2oLaVFpHK04iktbBERwqqwGp8uNTntBg8mFCCkBv5v37t3L6NGjSUxM5OjRoxw9epSEhARGjx7N3r172blzJzt37mTXrl3NPufSpUvJyMjAaDSSmZnJ1q1bm9z/nXfeYeDAgRiNRoYNG8ZHH33U6L733nsviqKwaNGiZscjhOj8TlWeAhWqqsyAtEy1FW/dVLk9n3CDDqfbzenymiBHJUTrCrhlasOGDa0awJo1a5g7dy7Lli0jMzOTRYsWMWXKFA4ePEhSUlK9/b/55htuvfVWFi5cyDXXXMOqVauYNm0aO3bsYOjQoX77vvvuu3z77bekpqa2asxCiI7N5XZxuuo0Drcbp81MmKLQI1aSqbbgTaZyqnJIjwvnQL6FEyXV9JQJUkUnEvR21pdeeom7776bWbNmMXjwYJYtW0Z4eDivv/56g/u/8sorTJ06lUceeYRBgwbxhz/8gdGjR7NkyRK//U6fPs3999/PW2+9hV6vb49LEUJ0EHnWPFyqC7dLh44YusWYMOiC/uuwU+oR1QMFhXJbOd3Mnkmes6UIXXQyQf3tYbfb2b59O5MnT/Zt02g0TJ48mc2bNzd4zObNm/32B5gyZYrf/m63m9tvv51HHnmEIUOGnDcOm82GxWLxuwkhOq9sSzYA4UoKCgoZ8dIq1VaMOiOJ4Z4if1NkOSAzoYvOJ6jJVHFxMS6Xi+TkZL/tycnJ5OfnN3hMfn7+efd/7rnn0Ol0zV50eeHChcTExPhuaWlpAV6JEKIjOWE5AYDq8Cwj0ytRupzakrerT9GXAnCyxCpLkYlOpdO1a2/fvp1XXnmFlStXNnvOmHnz5lFRUeG75eTktHGUQohgyq70tExZrZ6RfL1kJF+b8iZTVlcBWo1Clc1JidUe5KiEaD1BTaYSEhLQarUUFBT4bS8oKCAlJaXBY1JSUprc/6uvvqKwsJD09HR0Oh06nY6TJ0/ym9/8hoyMjAbPGRYWRnR0tN9NCNE5qarKSctJnG4VW3UcIMlUW/MueJxrzaG72QTA8WKpmxKdR1CTKYPBwJgxY8jKyvJtc7vdZGVl+db9O9eECRP89gf49NNPffvffvvt7N69m127dvluqampPPLII3z88cdtdzFCiA6hoLoAm8uG06mgJ45uMSbCDS2ack80U3p0XTJVlUvPhDAAjhVVBTMkIVpV0H+DzJ07l5kzZzJ27FjGjx/PokWLsFqtzJo1C4AZM2bQvXt3Fi5cCMCcOXOYNGkSL774IldffTWrV69m27ZtvPbaawDEx8cTHx/v9xx6vZ6UlBQGDBjQvhcnhAg5Jy0nATApyVjRSKtUO4gNiyXaEI3FbiEqsgKAY0XSMiU6j6AnU9OnT6eoqIinnnqK/Px8Ro4cyfr1631F5tnZ2Wg0ZxrQJk6cyKpVq3jiiSd4/PHH6devH+vWras3x5QQQjTEm0zhLT6XZKrNKYpCz+ie7CnegzasGIjjaJGnCF3WQxSdQdCTKYDZs2cze/bsBh/buHFjvW0333wzN998c7PPf+LEiRZGJoTobLzJVLUUn7erjOgM9hTvoVrNR6dJoMrmoKjKRlKUMdihCXHBOt1oPiGEaIyqqmRbsnG5VWprPMXnvWVahHbRK6YXADmVJ0mL8xShS1ef6CwkmRJCdBkltSVYnVbsTjCo8aREG6X4vJ30jO4JeIrQ0+O9ReiSTInOQZIpIUSX4e3iM5KIgo5eCZFBjqjrMIeZiTZE48ZNVN1M6DKiT3QWkkwJIboMX/G5U2Y+b2+KopARnQGAJqwYgGPFMhO66BwkmRJCdBneZWRq6ibr7C3F5+3K29VX5cpFr9VQbXdSYLEFOSohLpwkU0KILkFVVY5XHJeZz4PIV4RelU16nGdxaenqE52BJFNCiC6hqKYIq8OK3QEGNZFUs4mIMCk+b0/ebr7cqlzS62ZCPyrLyohOQJIpIUSXcKziGABGklHQ0TdJis/bm9loJsYQg4rqK0I/WigtU6Ljk2RKCNElHC0/6vnGkQRAv6SoIEbTdXnrpjSGIsCz4LHLLUXoomOTZEoI0SUcrzgOKlRaPPVS/aRlKih6m3sDUOE8hUmvxeZ0kVNaHeSohLgwkkwJITo9p9tJtiUbm9MFjiQMOi1pdQXQon31iekDwNGKo76u1kMFlcEMSYgLJsmUEKLTy6nMwak6cbvD0GGmd0IEWo0ssBsMvWJ6oaBQXFNMWoLnNTgsdVOig5NkSgjR6XmLz8Pc3VBQ6JcsXXzBEq4PJyUiBQBjuKdu6rC0TIkOTpIpIUSnd7ziOAD2mnhAis+DrY/Z09Xn1OYDkG+ppaLGEcyQhLggkkwJITq9Y+XHcLtVrFWeZWSk+Dy4+pr7ApBTdZxUswmAI4XSOiU6LkmmhBCdmtVhJb86nxqHC4OaTHxkGLERhmCH1aX1jvGM6DtuOU7fJM9AgMMFUjclOi5JpoQQndqxck+9lE6NQUs4fROlVSrYukd2x6g1YnfZiYvxJFGHJJkSHZgkU0KITu1I+REAFEcqAP2TpV4q2BRF8bVOacMKAThSVCWTd4oOS5IpIUSndqjsEKoK1XX1UgO7STIVCrxF6N7JO+1OF9kyeafooCSZEkJ0Wk63k+MVxz2Tddq7YdRryYiPCHZYgjPJ1NGKo/Sray2UyTtFRyXJlBCi08q2ZGN323E5w9ATR//kKJmsM0R4k6mC6gLS6ybvPJAnyZTomCSZEkJ0WofKDwGgd3km6xyYIl18oSJCH0H3yO4AGCM8dVP78yyoqtRNiY5HkikhRKd1pOwIqFBrTQJgYEp0kCMSZ+sf2x8AK9noNBrKa+zkW2qDHJUQgZNkSgjRKamqyuGyw9hdbpy2FHQaDX2SpF4qlAyIHQDA8YojvkWP9+dZghmSEC0iyZQQolMqqC6g0lGJzQFhahK9EyMI02mDHZY4i7dlKqcyh77JegD2S92U6IAkmRJCdEqHyw4DYHB3Q0EnXXwhyGw0kxyejIqKKdKz6PE+qZsSHZAkU0KITulg2UEAHDXJgMwvFaq8rVM25RRajUJJlY2iSluQoxIiMJJMCSE6HVVV2VeyD4fLja06RUbyhTBv3dQxy2F6J3jqpvZJ3ZToYCSZEkJ0OgXVBZTbyqmxq4SpqfRJiiDcoAt2WKIB/eM8LVMnLCfol2wE4EC+1E2JjkWSKSFEp3Og9ADgmV9Kg55h3WOCHJFoTLwxnjhjHG7VTUSUp27qh1ypmxIdiyRTQohOZ3/JflDBZvUsbjwkVZKpUKUoCgPjBgJg1+ag02goqqylwCJ1U6LjkGRKCNGpqKrKgdID2Jwu3LZu6LUa+idLvVQoGxw3GIBD5fvpl+ypm9p9qjyIEQkRGEmmhBCdyqmqU1Q6Kql1aAhTuzEwJQqDTn7VhbLB8Z5kKtuSTf9untq2PacrghmSEAGR3zBCiE7lYKlnSgS9MxUFLUOlXirkmY1mUiNSPfNNRRQAsPd0BS631E2JjkGSKSFEp7KvZB+qCtVVKQCSTHUQQxKGAFDmOkZkmI4ah4ujRVVBjkqI5pFkSgjRaTjdTvaX7qfG4ULrTCPCoKNXvKzH1xEMifckU/tL9jG4m2e2+t2npKtPdAySTAkhOo3DZYexuWw4HWEY1CSG9zCj0SjBDks0w4C4AWgVLcW1xfRMdgKwR4rQRQchyZQQotPYU7wHAMWWhoLCqHRzcAMSzRamDaOvuS8AGuMpAA4XVlFtdwYzLCGaRZIpIUSnsad4D06Xm5qqHigojEgzBzskEQDvqL4c60FSY0y4VZXvc6SrT4S+kEimli5dSkZGBkajkczMTLZu3drk/u+88w4DBw7EaDQybNgwPvroI99jDoeD3/72twwbNoyIiAhSU1OZMWMGubm5bX0ZQoggKqkp4XTVaapsLkxqBr0TI4gx6YMdlgjA8MThgGcQwYh0z3xTO7LLghmSEM0S9GRqzZo1zJ07l/nz57Njxw5GjBjBlClTKCwsbHD/b775hltvvZU777yTnTt3Mm3aNKZNm8bevXsBqK6uZseOHTz55JPs2LGDtWvXcvDgQa677rr2vCwhRDvbW+z5HaB1pqDFyKj02CBHJAKVHpWOOcyM3W0n1uxZWmZndplMkSBCnqIGeQGkzMxMxo0bx5IlSwBwu92kpaVx//3389hjj9Xbf/r06VitVj744APftosuuoiRI0eybNmyBp/ju+++Y/z48Zw8eZL09PTzxmSxWIiJiaGiooLo6OgWXpkQoj0t2bmE7QXbKc4bQYQjkz/eMIw+iZHBDksE6I0f3uCLU18wqcdlfLVtEFU2J/OvHcKgbvK7WJxfsD6/g7qMut1uZ/v27cybN8+3TaPRMHnyZDZv3tzgMZs3b2bu3Ll+26ZMmcK6desafZ6KigoURcFsNjf4uM1mw2Y7sw6UxWJp/kUI0dpUFZw2cFSDowactZ6vLhs47eA66+a0gctR95j3+7Meczs9N9UNblfd93Vf3e667131tzUWV1MUDWi0dV91dd9rz9rmva/z308XBlo9aMNAawCdwfNVa6jbbqh7TF+3rwH0JtAZPV/1JhxaPftK9lFtd6FzphNj0tM7QaZE6IhGJI7gi1NfsKd4NyN6XMSmoyXsyC6TZEqEtKAmU8XFxbhcLpKTk/22Jycnc+DAgQaPyc/Pb3D//Pz8Bvevra3lt7/9LbfeemujWerChQt5+umnW3AFQpxDVcFeBXYr2KrAXln31erZbqv0JEbeRMlRA86a+ttEQPZjo1YpJ9ahYUbJ68SbzSgfJoI+/EzSZYgAQ6Tna1hU3f26bWFRnq96EygylUIwDY4fjEFjoLS2lEt71LLpKGw/WcZtmT2DHZoQjQpqMtXWHA4HP/vZz1BVlVdffbXR/ebNm+fX2mWxWEhLS2uPEEUocznBZoGaMqit8HxfW1F3s5xJjuxV/glTazq7BUZrqGuZCTvTYqMzNNKiU7evXwtR3fca3ZmWIo3urMc0Zx6jBQmF6vZvBfNr9XLV3+5tNfO1tDnqWtfsZ1rbXPazWuPqWt2ctWda6xw14LKzg1pQVfrVQIy7glQcUFzesp+5IRLCIs9KtKLBGAPGuq9h0We+997XaFv2XKIeg9bAoPhBfF/0PS79CbSaJHLLa8ivqCUlxhjs8IRoUFCTqYSEBLRaLQUFBX7bCwoKSElJafCYlJSUZu3vTaROnjzJ559/3mTfaVhYGGFhYS28CtFheFuNasqgurQuSSo/K0GqS5K83zuqW/5cWkPdB3LUOR/MUb6uKfThdcnSOfe9N51RWkmawe1ysnPjg9RUlvJ97SUUJyTz+6v6gNvm3+pnr65LeM9uLay7b7d6kjWoa1kMMCk2RHoSLL/EywymWP9beJzntRVNGpk4ku+Lvmdf6W4GpdzI3twKvjtRyrUjUoMdmhANCmoyZTAYGDNmDFlZWUybNg3wFKBnZWUxe/bsBo+ZMGECWVlZPPjgg75tn376KRMmTPDd9yZShw8fZsOGDcTHx7flZYhgc7s9SVFN2ZlbdSnUlJ5Jmmrqvno/MANhjPF8MJ7bOhEW1XjCpJUh+e3liOUYlc5qapxG3JrhpPZJRt+jX+AnctrPJFJ+3bSV/sn22S2UtkrPsb4ErBlTsOjCwBR3JrnyJVvebXX3jeYum0yPSByBgsKximNc3UNhby58e6xEkikRsoLezTd37lxmzpzJ2LFjGT9+PIsWLcJqtTJr1iwAZsyYQffu3Vm4cCEAc+bMYdKkSbz44otcffXVrF69mm3btvHaa68BnkTqpz/9KTt27OCDDz7A5XL56qni4uIwGAzBuVDRMm6XJyGyFkF1seertdhzq677Wlt+/uLosxkiznxwmWL9u2x83Tje76O67AdaR7GjYAeo4K7tiYKWcb3iWnYinQF0cZ4Ep7ncbk9y5UuwLP4tnb4Evy6x9w4MqMzz3Jqi0UJ4PEQkQngCRMTXfU0489Vo9nTPdjJmo5l+sf04VHYIjek4CnEcLaqisLKWpCjp6hOhJ+jJ1PTp0ykqKuKpp54iPz+fkSNHsn79el+ReXZ2NpqzfllMnDiRVatW8cQTT/D444/Tr18/1q1bx9ChQwE4ffo077//PgAjR470e64NGzZw2WWXtct1iWZwuz0fMt4EyZscWb1JU5Hng6i5jDFn/bUf5//92S0AOunS7SxUVWVH4Q5qnS7Uml7otRpGtues5xoNmMyeW3PYq/1bUL0tpn4tqOWeRMztgqpCz60xiuJJuHxJVvyZZCsyGSITO2wL17jkcRwqO8QPZTsYnHojP+RW8O2xUq6T1ikRgoI+z1QoknmmWonbBdUlUFVQdyv0/2otal6LUkN/ofu+T6hLnMxSBNwFHas4xjPfPkNJpYuw0jvJzEjmN1cOCHZYF87lrEuyzmqNrS7x/6OjuqR559LqISLJk1hFJtfdkuq2JXv+0AjBZKu8tpzffPEbVFSuSXmUt7eU0Tsxkj/dMCzYoYkQ1iXnmRIdXGskS4rmTKIUcU4XRkSi5zFTbEj+shfBtyVvi6eLryYDDXom9kkIdkitQ6urS34SgUEN7+N2eVqxqs/u9i4Ca0nd18K6rkUHWE57bg3RaM9qyUo606IVkQRRKZ7HgtCVeHZXn2I6hkIcx4qqKLTUkhQtXX0itEgyJZpmq4TK/Loaj3yw5J5JnpqTLGm05/ySPuv7iCRPotQJaz5E23OrbrbmbaXa7kSp7YdJr2V0T3Oww2o/Gm1dK208JDbSGudynkms/P7YKfRssxbVdSfW/Z9u7Hkikz2JVWQKRHfzfI2qu7Xh6ERfV1/pDoakekb1bT5WwvUju7fZcwrREpJMdXWq6mldOjtZOjt5Ot8Q8aaSpchkaVUSbeZA6QEq7BVU23SY1AzG94onTCddvX60Ok/yE92t4ce9AzzO/gPp3ITL7fL8XrA0MlLRGANR3SAque5rSt3Xbhf8/39M8hhWHVjFsYpjXJuusjcXvjxUzHUjUlHk94oIIZJMdQUup+cXpHcEkTdZsuRBVf75pwswxZ7zS7LuL1JJlkQQfZv3Laqq4qrujYKWS/t1ki6+9qTRntWdOLT+4263p/vQ93sjv/4fW96Ri0UNrFqh1Z/VilWX1EWnQnR3T8v0eVqlzUYzg+MH80PJD9gNBzDo0jhdXs3RIit9k2TdRRE6JJnqrE5sggMfen7pWYua3ldRzjTjR6WekzR1A73UJ4jQ4nA52F6wnapaJ3r7AGLDDQyWtdtan0ZT19KcBN1G1H/cVuX5Q83b/X/2H2tVhZ4/1CpyPLd659bWdRumnnPr7qmXrPsj7eLuF/NDyQ9sL9jCuJ7D2HS0hI0HCyWZEiFFkqnOylYJ+bvP3NcaPH8V+pKkuqQpOtXzi0tGwokOZHvhdmqcNdTYTESoPZjYNwGNRlpI211Y3dI78X3qP+ZyeroJfS1ZeXXdhXlQmVvXfdhIYbxGV9eSlcroyCSMtZUU26q4LD2HTUdMfHO0hBkTMjDopN5ShAZJpjqrbiPgkofOJE/SHSc6kS9PfYnD5cZZOQAFhcsHJgU7JHEure5Ma9O5vN2HltNn6rG8t6p8z5qNdS1aBmA8FXxJDXmlC3iqIowCYil4rz9pPft6WrK8zyO/50SQSDLVWTVVdCpEB1ZgLeBA6QHKq51EuocyqFs03c2y3l2Hcnb3Yeoo/8fcLk9pwlmJ1sSS/XxZ+h3fuWz8j9GAWpWP60QxVH7vf6zeVJdY9YCYHp7vY3p4Ei4pVxBtSJIpIUSH8tXpr1BVcFZ3J4JoJg9KDnZIojVptGcGuXQfA0A/VSX568cpsOazY/iVbNtkI85VxJ09w4hxFNYNpinwLGpdctRzO1d4vCepiukBMd3rEq7mFcILcT6STAkhOgyn28mm05uosjnR2YYQGaZnfEvX4hMdhqIoXJ5+Of888E+2WX8guu9tbM0uJ86Qwh0/7uXZyeXw1GVVnPK0aFWcqvv+tKeGtLrEczu7lhQ89Vnewvezk6zo7p51O4VoBkmmhBAdxraCbVTYK6iq1hOt9mbSgET0WmlV6AouTr2Yfx/+N7nWXMb3rGJHNnxxqIjp49IxGbSeaRjM6Z7buWotnqSqoq7g3ZtkWU576rPKsz23c4VFnWnN8iZbMT08tahafdtftOgwJJkSQnQIqqryyYlPqHW4UK0j0KBjymDp4usqwvXhTOg2gS9OfUFO7VZSYy4mt6KGLw8XMWVIStMHG6M9t6RzluZxuz0jDitOg+WUf7JVXeJp0So60PAcWpHJdV2GPfxbtUJ0rUPRtiSZEkJ0CEfKj3DCcoIyq4so9wgye8fJGm1dzOXpl/PFqS/YWbiTqf1/zL++q2H93nz+Z1Byy6bG0GjO1Gcxxv8xR+2Z1qtzky1HzZlZ409v9z9OZ/QvfPcmWdGpYAhv8bWL0CbJlBCiQ/jk5Cc4XW5c1n5oCeea4TJatatJi0pjYNxADpQewKrfSYShP3kVNWw9UcpFveNb98n0Rs/8WefOoaWqUFN2JsmqyKkbdXjaU7PlrIXSY57buUyxZyVY3c98H5nimUpCdFjy6gkhQl6+NZ8dBTsosdqJdI5mQHIUfZOigh2WCIKre13NgdIDbM77ikmDRvPR9+W8t+s0mb3i2me9PkXxdOWFx0HKMP/HXE7PPFm+JOusOq3aCk8SVlMGBXvrnzPqrKV2pNuww5FkSggR8j449gEOlxtbVRpRJHDdyAYmghRdwuD4wWREZ3DCcgJ91F7CdD05XmxlV045o9JjgxucVnemjopM/8dsVWdasM5OsiynwWk7azHpbf7H6cLOmjur+5nvo1M9s8+LkCDJlBAipBVYC/g291tKrDainJn0SohkdLA/NEXQKIrC1b2vZumupXydt5FJAx/gk72lvLvzNCPTzO3TOtUSYZGQ2N9zO5u329DbXeid2sHXbWiD0uOe27mMMWdmgD+7RktGG7Y7SaaEECHtg2MfYHe5qK3qQZTajZvH9gjdD0zRLkYnjaZbRDfyrHmExexBr03jUEElO7LLGNOzg807dna34bmLSbucdQtJnz2lQ13CVVPm6TqsrYDCffXPG5nsX5sVnQoxaRCRIN2GbUCSKSFEyMqtymVz7maKq2xEOy+iT2Iko9LMwQ5LBJmiKNzY70aW7lrKV3mfcdmg+/l0r4VVW3IYmRaLtrMseq3V1c1t1b3+Y/Zq/0lKGx1tuOOcc+r9a7POXtvQGCOJVgtJMiWECFlvH3ybGoeD2qo0otVu3Do+XVqlBOBpneod05tjFccgchuRYYM5XV7Nl4eK+HFXWPjaEN74aMPacv+arIq6dQ4rcz0zxZed9NzOpTfB+Hug3/+0yyV0JpJMCSFC0g8lP7C7eDeFFgexzkmM6RnL0O4xwQ5LhAhFUbi5/808991zbM7/ih8PGcl/djh5e1sOF/WO98yK3hUpimcKBlMspAz1f8ztgqrCBorgcz2LSztqwBARnLg7OEmmhBAhx+V2sebAGqpqnVA9BJMmnv+9qGewwxIhZkDcAEYkjuD7ou/Jca0nMfJ/KKqy8c72HGZMyAh2eKFHo4Xobp4bY/0fc9o93YYRCUEJraOTRa2EECHnk5OfkG3JobBCxeyewJShKXSLMQU7LBGCfj7w5+g1eg6VH+SiIaUA/HdPPseLrUGOrIPRGSC2p7RMtZAkU0KIkFJgLWDdkXUUVtqIsP2IlKhYbh7TI9hhiRCVGJ7INb2vAeC70g8YkxGBisryr47hcqtBjk50FZJMCSFChqqqvLHvDSpqaqiu7EakOoS7L+2FUd9F619Es0ztNZWU8BQsdgv62K8IN+g4VlTFup2ngx2a6CIkmRJChIz1J9bzQ/F+csudxLsm8+MByQzvYQ52WCLE6TV67hp+Fxo07C7dzsS67r5/7zjFoYLKIEcnugJJpoQQIeFo+VH+fejfnC6vIcp+GWnRKcyUImLRTL1jenNtn2sB2Gl5n1G9NLhVlSWfH6HK5gxydKKzk2RKCBF0FruFZd8vo7CyBnd1H8wMZ87k/l13eLtokWt6X0OfmD7UOGuoMP6HuEgNhZW1/F/WYamfEm1KkikhRFA5XA4W71jM8bJ8Si0mElz/w8wJGfRKkFFFIjBajZZfj/w10YZo8qtzScv4Fr1Ow+5T5by1pYFJKoVoJZJMCSGCRlVVXt/7OnuKDpFX5ibZeQM/GdKTK4ekBDs00UHFGmO5b+R9aBUthyu/Z3D/PaiofLQnjw935wU7PNFJSTIlhAgKVVVZ+cNKNmZ/Q3ZJDQnOaxmX1kcmWxQXrF9sP2YNmQXAYes3DOx7GIC/f3uCT37ID2ZoopOSZEoI0e7cqps3973Jx8c3crKkmnjHTxiTMpwHJ/frPIvUiqCa2H0iPx/4cwBy7F+QkbEPFZXXNx1n/V5poRKtS5IpIUS7srvsLNm5hPcPf8bJ4mriHFMZkzyeR6cOkPmkRKua3HMyN/a7ERQodG8ipcd3qLhZ+c0J3tpyElWVonTROmRtPiFEuymuKWbpzj+zLfcgRZUOEp1Xc2naRTxwRT9JpESbuKb3NYTrwnlr/1tUar7H3L2U0tM/4j/f55JbXsOvLutLZJh8FIoLo6iSmtdjsViIiYmhoqKC6OjoYIcjRKewLX8bf/n+bxwtLqXWpiPJNY1pg8cyY0IGGunaE23su/zv+Nuev2F323E6wrEWTELv6kFCZBizL+/LwBT5Xd8ZBOvzW5KpBkgyJUTrKa0t5a39q/js2LcUVdaic3cjTbmOX148kh/1Twx2eKILOV11miU7l1BQXUCt3UVNxQB01RPQYmTyoGRuHZ9OhLRSdWiSTIUQSaaEuHDVjmo+OfkJb+/7gNMVFmxOlWjXOMbFT+H+yweQEmMMdoiiC6px1vDOwXfYeGojLrdKWZUGR8VIotwjiQ4zMW1UKv8zOJkwnXQ7d0SSTIUQSaaEaLmSmhKysjey9sB68iwV1DpdGNVU0rRT+UXmWH48IAlFkW49EVwHSw/y5r43ybPmYbU5Ka7QobcNJ8o9jIRwM5MHJXPFoCTM4YZghyoCIMlUCJFkSojAVDuq2VGwi/VHv2Z7/i4qahy4VDcGNZ4k5RJ+NuQyrh6RKoW+IqS43C425W5i3ZF1lNWWU15jp6TShc7Riwj3QKKUPoxNTyCzdzyj02NleaMOoEsnU0uXLuX5558nPz+fESNGsHjxYsaPH9/o/u+88w5PPvkkJ06coF+/fjz33HNcddVVvsdVVWX+/PksX76c8vJyLr74Yl599VX69evXrHgkmRKiaQ6Xg2MVx/g25we25e3lcPlBLDY7LrcbAJM7nTTjOG4cfCn/M7ibJFEipDncDr7L+45PTn7CSctJLDVOSqvt1NoVjO40jGo6UUpPhib1YliPWIakxpARH4FBJ7MLhZoum0ytWbOGGTNmsGzZMjIzM1m0aBHvvPMOBw8eJCkpqd7+33zzDT/60Y9YuHAh11xzDatWreK5555jx44dDB06FIDnnnuOhQsX8sYbb9CrVy+efPJJ9uzZw759+zAaz1+nIcmUEJ4/SipsFeRYCjlZXsTx8lMcL8/hVOUpimsLqHU4cJ3160OvxhOvHcClPS7mygEDGdY9RrrzRIeiqionLSfZmr+VLXlbyKsqxlLjoKLGid3lQkGLQU3AoCZhII6UiGR6m1Pon9iD1OhokqONJEaFEWPSy3s/SLpsMpWZmcm4ceNYsmQJAG63m7S0NO6//34ee+yxevtPnz4dq9XKBx984Nt20UUXMXLkSJYtW4aqqqSmpvKb3/yGhx9+GICKigqSk5NZuXIlt9xyy3lj6gzJVFl1FYVWi982Fbf//Wa88u5zdmro7eI+57wNn8f/foPnUc93HrVezOeeRVXr79Pgec458tzrpN4eDZxF9b+Oho5QG4i5/j5n/vWeuMHrOm8857xWgNPtxO6yU+u0Y3N6vre5ndidduwuJ3a3nVpnDVX2aqwOK9XOamqcNdQ6rVS7LDhcTtyNPLNWDSdCSaOvuR9jU0YwMaMvA5KjZJoD0SmoqkpOZQ77Svexv3g/e4oOUlpdhdXupNruwun2/32loEWrRqDFhI4IwnURmPRGwvUmIvVGIgxGjDojJp2RMJ0Oo05HmE5PmE6HXqNFr9Wh0+jQa3TotFq0ioJWo0GjKOi0GjSAomhQwJeoKSh+/980igYNCigKioJnX+r2rbt/VsC+x86WHGnGbOq4i4wH6/M7qG3vdrud7du3M2/ePN82jUbD5MmT2bx5c4PHbN68mblz5/ptmzJlCuvWrQPg+PHj5OfnM3nyZN/jMTExZGZmsnnz5gaTKZvNhs1m8923WCz19uloVuz4hDWH3wp2GKKDU1DQqZGYtDGYDYkkh6fSO7YHgxN7MSSpO91jw2X5F9EpKYpCenQ66dHpTM2YiqqqFNcUc9JykmxLNtmWfI6X5ZFbVYDFVonD5cbuqsLuqsSGitUFuIDaYF9JYO4Ycie/Gn/V+XcUfoKaTBUXF+NyuUhOTvbbnpyczIEDBxo8Jj8/v8H98/PzfY97tzW2z7kWLlzI008/3aJrCFUajQatcv5RKPU/Bhv+YDz/x+W5eygNbD33T6Pzq/+XU+CRnLu1ociaFYtS/7iG/rJrbkT+527OdZ3/Z1F/Dy1aRYdW4/mrV6fUfdXo6/4K1hOmMRJpiCTKEE5UWCRmo+eWHBFPujmBhEgTeq3UhoiuTVEUEsMTSQxPZGzKWL/HbC4blfZKLHYLZTUV5FeVUVJtwWKrobK2hip7DVZHLTXOWmwuG063C4fLidPtxOl24VZduFQ3bjzfu1W3rzXa81X1tTzXbfU995k267MeP09LdlOPaaV7skWkKhSYN2+eX2uXxWIhLS0tiBFduAcnTuPBidOCHYYQQnR6YdowwkxhJJgSICbY0YhgCOqfmwkJCWi1WgoKCvy2FxQUkJKS0uAxKSkpTe7v/RrIOcPCwoiOjva7CSGEEEI0R1CTKYPBwJgxY8jKyvJtc7vdZGVlMWHChAaPmTBhgt/+AJ9++qlv/169epGSkuK3j8ViYcuWLY2eUwghhBCipYLezTd37lxmzpzJ2LFjGT9+PIsWLcJqtTJr1iwAZsyYQffu3Vm4cCEAc+bMYdKkSbz44otcffXVrF69mm3btvHaa68Bnn7tBx98kGeeeYZ+/fr5pkZITU1l2rRpwbpMIYQQQnRSQU+mpk+fTlFREU899RT5+fmMHDmS9evX+wrIs7Oz0WjONKBNnDiRVatW8cQTT/D444/Tr18/1q1b55tjCuDRRx/FarVyzz33UF5eziWXXML69eubNceUEEIIIUQggj7PVCjqDPNMCSGEEF1NsD6/ZbyzEEIIIcQFkGRKCCGEEOICSDIlhBBCCHEBJJkSQgghhLgAkkwJIYQQQlwASaaEEEIIIS6AJFNCCCGEEBdAkikhhBBCiAsgyZQQQgghxAUI+nIyocg7KbzFYglyJEIIIYRoLu/ndnsv7iLJVANKSkoASEtLC3IkQgghhAhUSUkJMTEx7fZ8kkw1IC4uDvAsstyeL0Zrs1gspKWlkZOT02HXGOwM1wCd4zo6wzWAXEco6QzXAJ3jOjrDNQBUVFSQnp7u+xxvL5JMNUCj8ZSSxcTEdOg3lVd0dHSHv47OcA3QOa6jM1wDyHWEks5wDdA5rqMzXAOc+Rxvt+dr12cTQgghhOhkJJkSQgghhLgAkkw1ICwsjPnz5xMWFhbsUC5IZ7iOznAN0DmuozNcA8h1hJLOcA3QOa6jM1wDBO86FLW9xw8KIYQQQnQi0jIlhBBCCHEBJJkSQgghhLgAkkwJIYQQQlwASaaEEEIIIS5Ap0ymHA4Hv/3tbxk2bBgRERGkpqYyY8YMcnNz/fYrLS3ltttuIzo6GrPZzJ133klVVVWT566treW+++4jPj6eyMhIbrrpJgoKCvz2yc7O5uqrryY8PJykpCQeeeQRnE5nwNexdu1arrzySuLj41EUhV27djW43+bNm7n88suJiIggOjqaH/3oR9TU1DR57qVLl5KRkYHRaCQzM5OtW7cGfJ2tdR2lpaXcf//9DBgwAJPJRHp6Og888AAVFRVNnldVVZ566im6deuGyWRi8uTJHD58uN65A32Nm6uqqorZs2fTo0cPTCYTgwcPZtmyZec97p133mHgwIEYjUaGDRvGRx99FPB1tYV7770XRVFYtGjRefdtz/dPc5wvnnOF6msA8Oyzz6IoCg8++GCT+4XaNbhcLp588kl69eqFyWSiT58+/OEPfzjvGmkbN25k9OjRhIWF0bdvX1auXFlvn0Bf30B8+eWXXHvttaSmpqIoCuvWrfM91tzPkoa05/+Rpq7Ba//+/Vx33XXExMQQERHBuHHjyM7ObvK87fkeW7hwIePGjSMqKoqkpCSmTZvGwYMH/fZpyc+s3T4n1E6ovLxcnTx5srpmzRr1wIED6ubNm9Xx48erY8aM8dtv6tSp6ogRI9Rvv/1W/eqrr9S+ffuqt956a5Pnvvfee9W0tDQ1KytL3bZtm3rRRRepEydO9D3udDrVoUOHqpMnT1Z37typfvTRR2pCQoI6b968gK/jzTffVJ9++ml1+fLlKqDu3Lmz3j7ffPONGh0drS5cuFDdu3eveuDAAXXNmjVqbW1to+ddvXq1ajAY1Ndff1394Ycf1Lvvvls1m81qQUFBs6+zNa9jz5496o033qi+//776pEjR9SsrCy1X79+6k033dTkeZ999lk1JiZGXbdunfr999+r1113ndqrVy+1pqbGt09LXuPmuvvuu9U+ffqoGzZsUI8fP67+5S9/UbVarfree+81esymTZtUrVar/r//9//Uffv2qU888YSq1+vVPXv2BHRdrW3t2rXqiBEj1NTUVPXll19uct/2fv+cT3PiOVuovgaqqqpbt25VMzIy1OHDh6tz5sxpdL9QvIY//vGPanx8vPrBBx+ox48fV9955x01MjJSfeWVVxo95tixY2p4eLg6d+5cdd++ferixYtVrVarrl+/3rdPoK9voD766CP1d7/7nbp27VoVUN99913fY839LDlXe/8faeoaVFVVjxw5osbFxamPPPKIumPHDvXIkSPqe++91+TPsL3fY1OmTFFXrFih7t27V921a5d61VVXqenp6WpVVZVvn5b8zNrrc6JTJlMN2bp1qwqoJ0+eVFVVVfft26cC6nfffefb57///a+qKIp6+vTpBs9RXl6u6vV69Z133vFt279/vwqomzdvVlXV86bWaDRqfn6+b59XX31VjY6OVm02W4tiP378eKPJVGZmpvrEE08EdL7x48er9913n+++y+VSU1NT1YULF6qq2rzrbImmruNcb7/9tmowGFSHw9Hg4263W01JSVGff/5537by8nI1LCxM/ec//6mqaste40AMGTJE/f3vf++3bfTo0ervfve7Ro/52c9+pl599dV+2zIzM9Vf/vKXzb6u1nbq1Cm1e/fu6t69e9WePXueN5kK1vunpfGcKxRfA1VV1crKSrVfv37qp59+qk6aNKnJZCoUr+Hqq69Wf/GLX/htu/HGG9Xbbrut0WMeffRRdciQIX7bpk+frk6ZMsV3P9DX90I0lIic69zPkoYE8/9IQ9cwffp09X//938DOk+w32OFhYUqoH7xxRe+cwf6M2vPz4lO2c3XkIqKChRFwWw2A56uMbPZzNixY337TJ48GY1Gw5YtWxo8x/bt23E4HEyePNm3beDAgaSnp7N582bfeYcNG0ZycrJvnylTpmCxWPjhhx9a9ZoKCwvZsmULSUlJTJw4keTkZCZNmsTXX3/d6DF2u53t27f7XYNGo2Hy5Mm+a2jOdba1iooKoqOj0ekaXj7y+PHj5Ofn+8UYExNDZmam32sR6GsciIkTJ/L+++9z+vRpVFVlw4YNHDp0iCuvvLLRYzZv3uwXM3jeH96Ym3NdrcntdnP77bfzyCOPMGTIkPPuH2rvn+bEc65Qew287rvvPq6++up6sTUkFK9h4sSJZGVlcejQIQC+//57vv76a37yk580esz5rqMlr29bO/ez5Fyh9n/E7Xbz4Ycf0r9/f6ZMmUJSUhKZmZkNdgWeLdjvMW+Zh3fB4pb8zNrzc6JLJFO1tbX89re/5dZbb/Ut4Jifn09SUpLffjqdjri4OPLz8xs8T35+PgaDod5/ouTkZN8x+fn5fomU93HvY63p2LFjACxYsIC7776b9evXM3r0aK644opG+62Li4txuVwNxnj2NZzvOttScXExf/jDH7jnnnsa3ccbx/muI9DXOBCLFy9m8ODB9OjRA4PBwNSpU1m6dCk/+tGPmoz7fDGf77pa03PPPYdOp+OBBx5o1v6h9v5pTjznCrXXAGD16tXs2LGDhQsXNmv/ULyGxx57jFtuuYWBAwei1+sZNWoUDz74ILfddlujxzR2HRaLhZqamha9vm2poc+Sc4Xa/5HCwkKqqqp49tlnmTp1Kp988gk33HADN954I1988UWjxwXzPeZ2u3nwwQe5+OKLGTp0qO/5Av2ZtefnRKdIpt566y0iIyN9t6+++sr3mMPh4Gc/+xmqqvLqq68GMcqmNXUNjXG73QD88pe/ZNasWYwaNYqXX36ZAQMG8Prrr7d1yA1qyXWczWKxcPXVVzN48GAWLFjQNkG2QEPXtXjxYr799lvef/99tm/fzosvvsh9993HZ599FuxwG3TuNXzxxRe88sorrFy5EkVRgh1el5WTk8OcOXN46623MBqNwQ6nxd5++23eeustVq1axY4dO3jjjTd44YUXeOONN4IdWqvoKJ8l5/J+Tlx//fU89NBDjBw5kscee4xrrrmmWQNmguG+++5j7969rF69OtihNFvDfSgdzHXXXUdmZqbvfvfu3YEzb/6TJ0/y+eef+/0lkZKSQmFhod95nE4npaWlpKSkNPg8KSkp2O12ysvL/bLjgoIC3zEpKSn1Rm14Rxs0dt6mrqEp3bp1A2Dw4MF+2wcNGtToKI2EhAS0Wm29ERDnXsP5rrM1r8OrsrKSqVOnEhUVxbvvvoter290X28cBQUFvp+D9/7IkSN9+wT6Gjemoeu64oorePfdd7n66qsBGD58OLt27eKFF15otKsmJSXlvD/7811XS517De+88w6FhYWkp6f7trlcLn7zm9+waNEiTpw4Ue8cbf3+CVRz4jlXMF+Dhmzfvp3CwkJGjx7t2+Zyufjyyy9ZsmQJNpsNrVYb0tcA8Mgjj/hapwCGDRvGyZMnWbhwITNnzmzwmMauIzo6GpPJhFarDfj1bQtNfZacKxT/j+h0ugY/J5oqCQnWe2z27Nl88MEHfPnll/To0cMvnkB/Zu35OdEpWqaioqLo27ev72YymXxv/sOHD/PZZ58RHx/vd8yECRMoLy9n+/btvm2ff/45brfb7wPnbGPGjEGv15OVleXbdvDgQbKzs5kwYYLvvHv27PF7cT799FOio6PrvZnPdw3nk5GRQWpqar3ho4cOHaJnz54NHmMwGBgzZozfNbjdbrKysnzX0JzrbM3rAE+L1JVXXonBYOD9998/71/ovXr1IiUlxS9Gi8XCli1b/F6LQF/j5l6Xw+HA4XCg0fj/F9Jqtb6/BBsyYcIEv5jB8/7wxtyc62qpc6/hnnvuYffu3ezatct3S01N5ZFHHuHjjz9u8Bxt/f4JVHPiOVcwX4OGXHHFFezZs8fvdRg7diy33XYbu3btqpdIheI1AFRXV7f6/4eWvL6t7XyfJecKxf8j48aNC+hzAtr/PaaqKrNnz+bdd9/l888/p1evXn6Pt+Rn1q6fE80uVe9A7Ha7et1116k9evRQd+3apebl5fluZ4+omzp1qjpq1Ch1y5Yt6tdff63269fPbzjkqVOn1AEDBqhbtmzxbbv33nvV9PR09fPPP1e3bdumTpgwQZ0wYYLvce/UCFdeeaW6a9cudf369WpiYmKLpkYoKSlRd+7cqX744YcqoK5evVrduXOnmpeX59vn5ZdfVqOjo9V33nlHPXz4sPrEE0+oRqNRPXLkiG+fyy+/XF28eLHv/urVq9WwsDB15cqV6r59+9R77rlHNZvNfiMQz3edrXkdFRUVamZmpjps2DD1yJEjfq+X0+n0nWfAgAHq2rVrffefffZZ1Ww2q++99566e/du9frrr29wyGtTr/GFmDRpkjpkyBB1w4YN6rFjx9QVK1aoRqNR/fOf/+zb5/bbb1cfe+wx3/1NmzapOp1OfeGFF9T9+/er8+fPb3C48fmuq600NJov2O+f8zlfPB3tNVBVtd5ovo5wDTNnzlS7d+/umxph7dq1akJCgvroo4/69nnsscfU22+/3XffOzXCI488ou7fv19dunRpg1MjnO/9diEqKyvVnTt3qjt37lQB9aWXXlJ37typnjx5stmfJcH+P9LUNaiqZ+oTvV6vvvbaa+rhw4d9U1B89dVXvnME+z32q1/9So2JiVE3btzo93Ourq727dOcn1mwPic6ZTLlHYLf0G3Dhg2+/UpKStRbb71VjYyMVKOjo9VZs2aplZWV9c5z9jE1NTXqr3/9azU2NlYNDw9Xb7jhBr/kRlVV9cSJE+pPfvIT1WQyqQkJCepvfvObRof4N2XFihUNXsP8+fP99lu4cKHao0cPNTw8XJ0wYYLffxBV9XxAnnvM4sWL1fT0dNVgMKjjx49Xv/32W7/Hm3OdrXUdGzZsaPT1On78uO88gLpixQrffbfbrT755JNqcnKyGhYWpl5xxRXqwYMH/Z77fK/xhcjLy1PvuOMONTU1VTUajeqAAQPUF198UXW73b59Jk2apM6cOdPvuLffflvt37+/ajAY1CFDhqgffvih3+PNua620lAyFez3T3M0FU9Hew28MZ+dTHWEa7BYLOqcOXPU9PR01Wg0qr1791Z/97vf+SUdM2fOVCdNmuR33IYNG9SRI0eqBoNB7d27t9//ca/zvd8uRGO/f2bOnNnsz5Jg/x9p6hq8/va3v6l9+/ZVjUajOmLECHXdunV+5wj2e6yxn/PZ74fm/MyC9Tmh1D25EEIIIYRogU5RMyWEEEIIESySTAkhhBBCXABJpoQQQgghLoAkU0IIIYQQF0CSKSGEEEKICyDJlBBCCCHEBZBkSgghhBDiAkgyJUQXceLECRRFYdeuXW3+XIqisG7dujY7f0ZGBosWLWqz8zfXZZddxoMPPtguz/Xkk09yzz33tHs8y5Yt49prr23VcwrR2UgyJUQndMcddzBt2jS/bWlpaeTl5TF06NDgBNWBbdy4EUVRKC8v99u+du1a/vCHP7T58+fn5/PKK6/wu9/9rs2f61y/+MUv2LFjB1999VW7P7cQHYUkU0J0EVqtlpSUFHQ6XbBD6TTi4uKIiopq8+f561//ysSJE5tcmLatGAwGfv7zn/N///d/7f7cQnQUkkwJ0UH961//YtiwYZhMJuLj45k8eTJWq5UFCxbwxhtv8N5776EoCoqisHHjxnrdfN7Wlo8//phRo0ZhMpm4/PLLKSws5L///S+DBg0iOjqan//851RXV/uet6EutpEjR7JgwYIG42yoVWfXrl0oisKJEycAOHnyJNdeey2xsbFEREQwZMgQPvroo2b/LLKzs7n++uuJjIwkOjqan/3sZxQUFPjt85///Idx48ZhNBpJSEjghhtu8D3297//nbFjxxIVFUVKSgo///nPKSwsBDzdoz/+8Y8BiI2NRVEU7rjjDqB+t1pZWRkzZswgNjaW8PBwfvKTn3D48GHf4ytXrsRsNvPxxx8zaNAgIiMjmTp1Knl5eU1e3+rVq+t1tVmtVmbMmEFkZCTdunXjxRdfrHeczWbj4Ycfpnv37kRERJCZmcnGjRv99lm+fDlpaWmEh4dzww038NJLL2E2m/32ufbaa3n//fepqalpMk4huipJpoTogPLy8rj11lv5xS9+wf79+9m4cSM33ngjqqry8MMP87Of/cz3IZ2Xl8fEiRMbPdeCBQtYsmQJ33zzDTk5OfzsZz9j0aJFrFq1ig8//JBPPvmExYsXt+n13HfffdhsNr788kv27NnDc889R2RkZLOOdbvdXH/99ZSWlvLFF1/w6aefcuzYMaZPn+7b58MPP+SGG27gqquuYufOnWRlZTF+/Hjf4w6Hgz/84Q98//33rFu3jhMnTvgSprS0NP79738DcPDgQfLy8njllVcajOWOO+5g27ZtvP/++2zevBlVVbnqqqtwOBy+faqrq3nhhRf4+9//zpdffkl2djYPP/xwo9dXWlrKvn37GDt2rN/2Rx55hC+++IL33nuPTz75hI0bN7Jjxw6/fWbPns3mzZtZvXo1u3fv5uabb2bq1Km+BG/Tpk3ce++9zJkzh127dvE///M//PGPf6wXw9ixY3E6nWzZsqXROIXo0gJaFlkIERK2b9+uAuqJEycafHzmzJnq9ddf77ft+PHjKqDu3LlTVdUzK81/9tlnvn0WLlyoAurRo0d92375y1+qU6ZM8d3v2bOn+vLLL/ude8SIEer8+fN99wH13Xff9XuesrIy3+M7d+5UAfX48eOqqqrqsGHD1AULFjTv4s+J4ZNPPlG1Wq2anZ3te/yHH35QAXXr1q2qqqrqhAkT1Ntuu63Z5//uu+9UwLdyfEPXoKqqOmnSJHXOnDmqqqrqoUOHVEDdtGmT7/Hi4mLVZDKpb7/9tqqqqrpixQoVUI8cOeLbZ+nSpWpycnKjsXh/VmdfX2VlpWowGHznVVXPyvcmk8kXz8mTJ1WtVquePn3a73xXXHGFOm/ePFVVVXX69Onq1Vdf7ff4bbfdpsbExNSLIzY2Vl25cmWjcQrRlUnLlBAd0IgRI7jiiisYNmwYN998M8uXL6esrKxF5xo+fLjv++TkZMLDw+ndu7ffNm+XV1t54IEHeOaZZ7j44ouZP38+u3fvbvax+/fvJy0tjbS0NN+2wYMHYzab2b9/P+DpVrziiisaPcf27du59tprSU9PJyoqikmTJgGe7sNA4tDpdGRmZvq2xcfHM2DAAF8cAOHh4fTp08d3v1u3bk3+fL1da0aj0bft6NGj2O12v+eKi4tjwIABvvt79uzB5XLRv39/IiMjfbcvvviCo0ePAp6WtrNb6IB6971MJpNfd68Q4gxJpoTogLRaLZ9++in//e9/GTx4MIsXL2bAgAEcP3484HPp9Xrf94qi+N33bnO73b77Go0GVVX99jm7G+tcGo3n18zZx5y7/1133cWxY8e4/fbb2bNnD2PHjm3VrkWTydToY1arlSlTphAdHc1bb73Fd999x7vvvguA3W5vtRi8Gvr5nvvzPFtCQgJAwMlyVVUVWq2W7du3s2vXLt9t//79jXZTNqW0tJTExMSAjxOiK5BkSogOSlEULr74Yp5++ml27tyJwWDwJQEGgwGXy9Umz5uYmOhXMG2xWJpM4rwfwGcf09BcV2lpadx7772sXbuW3/zmNyxfvrxZ8QwaNIicnBxycnJ82/bt20d5eTmDBw8GPK1vWVlZDR5/4MABSkpKePbZZ7n00ksZOHBgvZYig8EA0OTPdNCgQfXqikpKSjh48KAvjpbo06cP0dHR7Nu3z2+bXq/3e66ysjIOHTrkuz9q1ChcLheFhYX07dvX75aSkgLAgAED+O677/ye79z74GkJq62tZdSoUS2+DiE6M0mmhOiAtmzZwp/+9Ce2bdtGdnY2a9eupaioiEGDBgGeEXe7d+/m4MGDFBcXN9lyFKjLL7+cv//973z11Vfs2bOHmTNnotVqG92/b9++pKWlsWDBAg4fPsyHH35Yb+TZgw8+yMcff8zx48fZsWMHGzZs8F3L+UyePJlhw4Zx2223sWPHDrZu3cqMGTOYNGmSr2h7/vz5/POf/2T+/Pns37/fV+QOkJ6ejsFgYPHixRw7doz333+/3txRPXv2RFEUPvjgA4qKiqiqqqoXR79+/bj++uu5++67+frrr/n+++/53//9X7p378711///du7mFbY4juP4+yg7kYUslMVZnIkFapTkseksPIzurJTUUJxSzGKSomyUQsZslLDxsBmaUpRhJXnYjJWiJpSlP8CWzl3cmttEcjvkuvfzWp7z6/y+v9X59P2ezo93neU1eXl52LbN2dlZ9lpBQQEDAwOMjY1xdHTE1dUV/f392S4ggGVZ9Pb2Eg6H2dnZ4f7+nnQ6zczMDPv7+wBEIhFSqRTxeJzb21tWVlY4ODjAMIycGk5PTzFNM2c8KSK/KUyJfEOFhYWcnJzQ0dGBZVlMTk6ysLBAe3s7AI7j4PP5qK2tpaSkhPPz8w/be2JigpaWFoLBIJ2dnYRCoTdfsvn5+SQSCTKZDFVVVczNzTE9PZ2z5vn5meHhYSoqKmhra8OyLJaWlt5Vj2EY7O7uUlxcTHNzM7ZtY5om29vb2TWtra0kk0n29vaoqakhEAiQTqeBX52z9fV1kskklZWVzM7OEovFcvYoKytjamqK8fFxSktLGRkZebWWtbU1/H4/wWCQ+vp6XNcllUq9GO39qcHBQba2tnLGrfPz8zQ1NdHV1YVt2zQ2NuL3+1/UEw6HGR0dxefzEQqFuLi4oLy8HICGhgaWl5eJx+NUV1dzeHhINBrN+T4LIJFI4DiOpzOI/MsM961hvYiIfDnXdamrqyMajdLT0/OpezmOQyaTyf7x/Pr6mkAgwM3NDUVFRZ+6t8h3pc6UiMhfzjAMVldXeXp6+vBnx2IxLi8vubu7Y3FxkY2NDfr6+rL3Hx4e2NzcVJASeYM6UyIi/7Hu7m6Oj495fHzENE0ikQhDQ0NfXZbIt6IwJSIiIuKBxnwiIiIiHihMiYiIiHigMCUiIiLigcKUiIiIiAcKUyIiIiIeKEyJiIiIeKAwJSIiIuKBwpSIiIiIBwpTIiIiIh78BFVWT+mqIfjnAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alter_res = model.run(\n", " visual_position=-5, auditory_position=5, visual_sigma=20, auditory_sigma=3\n", ")\n", "\n", "ax1 = plt.subplot()\n", "alter_res.plot(ax=ax1)\n", "ax1.set_ylabel(\"probability density\")\n", "ax1.set_xlabel(\"stimulus location (deg)\")\n", "ax1.set_title(\"\")\n", "ax1.legend(title=\"\")\n", "plt.suptitle(\"\")" ] }, { "cell_type": "markdown", "id": "95a01555", "metadata": {}, "source": [ "By manipulating the precision of the unisensory estimates you've explored computationally the principles of the MLE estimation behind the model. Refer to the [API documentation](https://scikit-neuromsi.readthedocs.io/en/latest/api/mle/_alais_burr2004.html) for further information about parameters to manipulate." ] }, { "cell_type": "markdown", "id": "c56322eb", "metadata": {}, "source": [ "> This demonstration of the Alais and Burr model mechanics is inspired in the Computational Cognitive Neuroscience course materials developed by [Dr. Peggy Series](https://homepages.inf.ed.ac.uk/pseries/index.html) at The University of Edinburgh. " ] }, { "cell_type": "markdown", "id": "d3fd0e5e", "metadata": {}, "source": [ "### Visualization of models with multiple dimensions" ] }, { "cell_type": "markdown", "id": "c138ce4b", "metadata": {}, "source": [ "Now let's visualize the output of a more complex model, such as those available in the `neural` module. Here we implement the network model developed by Cuppini et al. (2017) by importing the corresponding module and instantiating the `Cuppini2017` class, and run the model for two conflicting stimulus locations:" ] }, { "cell_type": "code", "execution_count": 6, "id": "88e347ab", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([],\n", " dtype=object)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from skneuromsi.neural import Cuppini2017\n", "\n", "model = Cuppini2017(\n", " neurons=90, position_range=(0, 90), time_range=(0, 100), time_res=0.01\n", ")\n", "res = model.run(auditory_position=30, visual_position=60)\n", "res.plot()" ] }, { "cell_type": "markdown", "id": "88e13f18", "metadata": {}, "source": [ ">Notice how the plotting method now displays `Time 9999`. In the context of the specified `time_range ` and `time_res`, this means that the plot is displaying the last time point (i.e. 100 time units x 0.01 resolution). Here we are modeling 100 ms and the numerical integrator worked with a timestep of 0.01 ms." ] }, { "cell_type": "markdown", "id": "beae1bed", "metadata": {}, "source": [ "Neural models are characterized for having spatial and temporal dimensions. By default the plotting function shows the most informative dimension (based on the values of each dimension). In this example, the plot showed the neural activity in the spatial domain, which is equivalent to explictly asking for it using the method `plot.linep()`:" ] }, { "cell_type": "code", "execution_count": 7, "id": "2ac46681", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, '')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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DQp6zf/9+SJKEbdu2xWRMySBuwZLD4cCWLVswbty4psEYDBg3bhzWr18f8D6jRo3Cli1b1ODohx9+wDvvvINLLrkk6OPY7XZUV1f7fRCRdh/vOg4AOK9PEc46vRCAJ7tEKUJPsKTsHcf2ASljypQpuOKKK/yOlZaW4siRIxgwYEB8BpWA4hYsnThxAm63G8XFxX7Hi4uLUV5eHvA+N9xwAx588EGcc845MJvN6NGjB84777yQ03ALFixAXl6e+lFaWhrR50GUysqrGvF9eTUkSDi3VxF+3qsIgCfb5HTLcR4dRYSuYMk7VedizVIqMxqNKCkpgcnENWCKuBd467Fu3To8/PDD+N///V9s3boVq1atwurVq/HnP/856H1mz56Nqqoq9ePgwYMxHDFRcvvEm1UaVJqHwiwL+nfMRWGWBbV2F746UBnfwVFkKIFPqB5LCrUxJYOlWDjvvPNw22234c4770RBQQGKi4uxePFi1NXVYerUqcjJyUHPnj3x7rvvAgCWLVuG/Px8v2u8+eabkIKscpw3bx5eeuklvPXWW5AkCZIkYd26dZyGCyBuYWP79u1hNBpx9OhRv+NHjx5FSUlJwPvMmTMHN954I2666SYAwMCBA1FXV4ebb74Zf/rTn2AwtIz9rFYrrNYQvUOIKCAhBD7e7QmWxvT2ZJQMBgmje7bHv78+jM92H1en5SiJKVNq5lZWwwE+W54kd7AkhIBDdsTlsS0GS9DgJZCXXnoJf/zjH7Fx40asXLkSt956K9544w1ceeWVuO+++/DEE0/gxhtvxIEDB3SP5e6778aOHTtQXV2NpUuXAgAKCwtx+PBh3ddKdXELliwWC4YNG4aysjJ1vlSWZZSVlWHmzJkB71NfX98iIDIaPaszuDqHKLL+e7gaJ2vtyLSYMLxrU1B0bs8i/Pvrw9h6oBK1dheyrUzVJzV1NZyOabgkD5YcsgO3fnBrXB77uXHPwWrU/gf84MGDcf/99wPwzJQ88sgjaN++PaZPnw4AeOCBB/Dcc89h+/btuseSnZ2NjIwM2O32oEkK8ojrNNysWbOwePFivPTSS9ixYwduvfVWNb0IAJMmTcLs2bPV8ydMmIDnnnsOK1aswL59+7B27VrMmTMHEyZMUIMmIooMpbB7VI92sJiaflR0aZeJroVZcMky1u89Ga/hUaSofZZ0FHizZilmBg0apH5uNBrRrl07DBw4UD2m1P0Ga7lDkRHXPwmvu+46HD9+HA888ADKy8sxZMgQrFmzRv3mHzhwwC+TdP/990OSJNx///04dOgQioqKMGHCBDz00EPxegpEKanB4caGfRUAmqbgfJ3Tqz1+3FCHT3cfx//0L25xOyURPZklU2rULFkMFjw37rm4PbYeZrPZ72tJkvyOKVN6sizDYDC0mGVxOp1hjpR8xT1/PnPmzKDTbuvWrfP72mQyYe7cuZg7d24MRkaUvvYer4XD5Ub7bCt6dshucfs5Pdtj+YYD2HW0BlX1TuRlmgNchZKCuhqulaaUgE/rgOQOliRJ0jUVliyKiopQU1ODuro6ZGVlAUCrRdoWiwVutzsGo0tuSbUajohio6LOU/zaKT8jYDFqQZYFhdmev5CP17LnTlLTU+Cttg7g9zwRjRgxApmZmbjvvvuwd+9eLF++HMuWLQt5n27dumH79u3YuXMnTpw4wUxUEAyWiKgFJVgqzAo+ZdDOe9vJ2visKqIIYeuAlFFYWIh//vOfeOeddzBw4EC8+uqrmDdvXsj7TJ8+HX369MHw4cNRVFSEzz//PDaDTTJxn4YjosRzUkOwVJDpue1UPYOlpBbWdicMlmKheSkK4NmKpDnfOqUrrriiRUduZeUc4Omt5BtAFRUV4f333w95TWJmiYgCqKizA2jKHgXSzjsNpwRWlKR0dfBmsETpicESEbWgZRpOua2C03DJLZxgia0DKM0wWCKiFpQ6pHZZwVcMFWYys5T0hPBpHaBhNVyKdPAm0ovBEhH5cbhkVDd6VsQoK94CUW6rYLCUvNw+3zuTltVwnIaj9MRgiYj8VHoLti0mI7IswTvjK9Nwp+odLAZNVr5Bj65puORrHcD3aHJI1O8TgyUi8qNMq7XLCr3hpzIN53TLqLG7YjI2ijB1qxMroGVzV99puAT9pdac0u26vr4+ziMhLRwOz8+fRNvCjK0DiMiPluJuADAZDci1mVHd6ERFrQO5NnbxTjpKvZKWKTjAv67JZdfWyDLOjEYj8vPz1b3TMjMzQ/4RQPEjyzKOHz+OzMxMmEyJFZ4k1miIKO609FhStMu2eIKlege6ISvaQ6NI07PVCeDJQKn3rU+KYAkASkpKAHCz2WRgMBjQpUuXhAtoGSwRkZ+K2tZ7LCkKsyzYd6KO7QOSlbrViYZ6JcAzVWfO8ARZSVS3JEkSOnbsiA4dOnA7jwRnsVhgMCRehRCDJSLyo3UaznOO1e8+lGTUtgEagyXAM2XnbEjKFXFGozHhamEoOSRe+EZEcaUWeIdoG6AozPLUKVVwy5PkpBZ465hOY/sASkMMlojIT1NmKXhDSgUzS0lOT/duRRK3DyAKF4MlIlK53DIq670NKbUUeHvPOcmapeQUTrCkbqbLpfiUPhgsEZGqssEJAQGTwYBcW+sljQXK/nDejXcpyejZ6kShTsMxs0Tpg8ESEal8i7u1LN1VGlM2ON1ocLijOjaKgrBqlryBFTNLlEYYLBGRSplO0zIFBwAZFiMyLZ4M1Elml5JPOKvhlN5KrFmiNMJgiYhUFT5bnWhV4M0unapj/5qko7fPEuCz5QkzS5Q+GCwRkUqpPSrU0DZAobQYYGYpCbm8Bd5htQ5gZonSB4MlIlKdDCOzpEzZnWKvpeSjd7sTwKd1APssUfpgsEREKj09lhSFbB+QvNrUOoDBEqUPBktEpNKzia6indo+gMFS0mlLU0oGS5RGGCwREQBAlgVOhVPgzWm45BVWsKS0DmCwROmDwRIRAQCqGpyQhYBBkpCXYdZ8P3bxTmJqgTdbBxCFwmCJiAA0TcEVZFlgMLTekFKhTNlVNzrhdMtRGRtFgdsFyN5GomYdq+G43QmlIQZLRAQgvB5LAJBtNcFs9PwoOcW6peThG+zoWg2n9FliZonSB4MlIgLg02NJZ7AkSVLTijgGS8lDmUYzmgGDUfv9lMCKrQMojTBYIiIA4fVYUihdvLkiLokomSU99UpAUwNL2Q242bWd0gODJSICAFTU6u+xpGD7gCQUzkq45udzRRylCQZLRAQgvB5LCmV7FAZLSUQNlnQUdwOeKTuj2f8aRCmOwRIRAfAp8NaxL5yCmaUkpNQs6Z2GA1i3RGmHwRIRQQjhs9VJGJkl79Qdg6UkotQs6Z2GA5rqlphZojTBYImIUN3ogkuWIUFCvo6GlIpCZpaSj7L0P5xgycxgidILgyUiUoOc/EwzTEb9PxYKfbY8kWUR0bFRlIRb4A34TMOx1xKlBwZLRBR2jyVFfoYZBkmCLASqGricPCmo03A6GlIq1Gk4dvGm9MBgiYjUAEfPnnC+DAZJ7bXExpRJQi3w1rkaDvDZTJeZJUoPDJaICHV2zx5hWVZT2NfIzfDct6aRmaWk0KZpONYsUXphsEREaHB4gqVMi45tL5rJtHiCpXrvtSjBudpS4M3WAZReGCwREeocLgBtDZY892WwlCTC3e4EYOsASjsMlohIDXCU7FA4mjJLroiMiaKsTdNwGf7XIEpxDJaISA1wmFlKI5EIltg6gNIEgyUiUgu825JZyvAGS3V2ZpaSQluCJWXqjq0DKE0wWCIiNbOUZQ0/s5TlDbQamFlKDm1qHaAES8wsUXpgsEREkalZ8gZadQyWkoOaWQqjKaWZTSkpvTBYIiKfYKntmSUWeCcB2Q24vc1DzW1oSsmaJUoTDJaI0pwQQp06y2rTajgWeCcN31VsbdruhKvhKD0wWCJKcw1ONwQ8m99mRGQ1HDNLCU/JCBmMgDGMLW7YOoDSDIMlojSnZILMRgMspvB/JLCDdxJpS0NKoClYcjsAWY7MmIgSGIMlojRX720bkGEOP6sENGWlGp1uuGXR5nFRFCmr2MKpVwL8gyxueUJpgMESUZqrU9sGhF+vBABZPlN4DU5mlxKaqw0r4QDP1J3k/fXB9gGUBhgsEaW5SHTvBgCT0QCLyVu3xMaUiU2pNQqnxxIASJJP3RLbB1DqY7BElOaUGqO2ZpaApuwSey0luLZ071ZwyxNKIwyWiNJcXYRqloCmuiWuiEtwSo8loyX8a3DLE0ojDJaI0lyDs+1bnSiUqTxueZLgZG8wG07bAIVyXzcDY0p9DJaI0pyaWWpDQ0qF0tSS03AJTsksGdoQLBm87xfZ2fbxECU4BktEaa6pe3fkpuEaOA2X2NyRzCwxWKLUx2CJKM3VRWg1HOCTWbIzs5TQlGxQRIIlR9vHQ5TgGCwRpbmmTXTbPg2XaWWBd1JQskFtmobz3ldmYEypj8ESUZqrs0euwJs1S0lCXQ3XhgBZySyxZonSAIMlojTXEMHMUlPrAAZLCU1ZDReJzBKn4SgNMFgiSnORrFnKZIF3cnBHsmaJ32tKfXEPlp599ll069YNNpsNI0aMwMaNG0OeX1lZiRkzZqBjx46wWq3o3bs33nnnnRiNlij1RLRmidNwyUGZOjNwGo5Ii7b/dGyDlStXYtasWVi0aBFGjBiBJ598EuPHj8fOnTvRoUOHFuc7HA78z//8Dzp06IDXX38dnTt3xo8//oj8/PzYD54oBTjdMpxuGUCkM0sMlhKa2jqgDR28lUCLrQMoDcQ1WFq4cCGmT5+OqVOnAgAWLVqE1atXY8mSJbj33ntbnL9kyRJUVFTgiy++gNns+aumW7dusRwyUUpRskoSpAi3DuDUTEJj6wAiXeI2DedwOLBlyxaMGzeuaTAGA8aNG4f169cHvM/bb7+NkSNHYsaMGSguLsaAAQPw8MMPw+0O/les3W5HdXW13wcReShL/G1mAyRJavP1mloHMLOU0CLaOoCBMaW+uAVLJ06cgNvtRnFxsd/x4uJilJeXB7zPDz/8gNdffx1utxvvvPMO5syZg8cffxx/+ctfgj7OggULkJeXp36UlpZG9HkQJTOleWSmNTJJZiU75ZJlOFxyRK5JUaAWeEeiZonBEqW+uBd46yHLMjp06IDnn38ew4YNw3XXXYc//elPWLRoUdD7zJ49G1VVVerHwYMHYzhiosSmZJYisdUJAGSYjZAg+V2bEpAcicySUrPEaThKfXGrWWrfvj2MRiOOHj3qd/zo0aMoKSkJeJ+OHTvCbDbDaGz6wd6vXz+Ul5fD4XDAYmlZrGi1WmG1WiM7eKIUEcmVcAAgSRIyLEbUO1yod7iRnxmRy1KkRaR1gPfnLVsHUBqIW2bJYrFg2LBhKCsrU4/JsoyysjKMHDky4H1Gjx6NPXv2QJab0vu7du1Cx44dAwZKRBRafQR7LCkyLdzyJOGxdQCRLnGdhps1axYWL16Ml156CTt27MCtt96Kuro6dXXcpEmTMHv2bPX8W2+9FRUVFbjjjjuwa9curF69Gg8//DBmzJgRr6dAlNSUzFJWhGqWAN9giUXeCSsirQOU1XAMlij1xbV1wHXXXYfjx4/jgQceQHl5OYYMGYI1a9aoRd8HDhyAwdAUz5WWluK9997DXXfdhUGDBqFz58644447cM8998TrKRAltXpvgXeGOZKZJaV9AIOlhBWR1gHss0TpQ3ewNHfuXEybNg1du3aNyABmzpyJmTNnBrxt3bp1LY6NHDkSX375ZUQemyjdqQXeEdhEV5Fl5TRcwnNHYBrOwGk4Sh+6p+Heeust9OjRA2PHjsXy5ctht9ujMS4iigFlW5KMCBV4A02ZJU7DJbCI7g3HYIlSn+5gadu2bdi0aRN+9rOf4Y477kBJSQluvfVWbNq0KRrjI6IoinTrAIAF3klBnYaLwHYnzCxRGgirwHvo0KH4+9//jsOHD+PFF1/ETz/9hNGjR2PQoEF46qmnUFVVFelxElEUqE0pI5pZYoF3wovENBxbB1AaadNqOCEEnE4nHA4HhBAoKCjAM888g9LSUqxcuTJSYySiKGlQV8NFvsCbwVKCEgIQ3vYrbB1ApElYwdKWLVswc+ZMdOzYEXfddReGDh2KHTt24OOPP8bu3bvx0EMP4fbbb4/0WIkowurYZyn9+HbcjsQ0HGuWKA3oDpYGDhyIs88+G/v27cOLL76IgwcP4pFHHkHPnj3Vc66//nocP348ogMloshriHAHb99rsXVAgvLdy40F3kSa6P4Jee2112LatGno3Llz0HPat2/v12WbiBKPEMJnuxO2DkgbvsENWwcQaaI7s6TUJjXX0NCABx98MCKDIqLoa3C6ISAAsMA7rajF3UZAksK/DjNLlEZ0B0vz589HbW1ti+P19fWYP39+RAZFRNGnBDMmgwEWU+R2PlICrwYGS4kpEm0DgKaslJA9ReNEKSyszJIU4K+Rr7/+GoWFhREZFBFFX7098lNwvterd7gh+Es08aiZpTbUKwH+wRazS5TiNOfeCwoKIEkSJElC7969/QImt9uN2tpa3HLLLVEZJBFFXp261Ulkt4hUMksCAo1OGRkRDsaojZQCb0Mbvy++xeGyE0AbM1VECUzzT8knn3wSQghMmzYN8+fPR15ennqbxWJBt27dMHLkyKgMkogirz4KbQMAwGIywGQwwCXLqHO4GCwlGqV1QKSm4QBmlijlaQ6WJk+eDAA4/fTTMWrUKJjNbUzhElFcRWMlnCLTYkR1o+yZ6suO+OWpLSKxLxzgKQ43GAHZzWCJUp6mYKm6uhq5ubkAPFudNDQ0oKGhIeC5ynlElNiisdWJIstqQnWjE/VOtg9IOOo0XAS+70YLIDewfQClPE3/WgoKCnDkyBF06NAB+fn5AQu8lcJvt5srYIiSQYMzOtNwANSpNzamTECRyiwB7OJNaUNTsPThhx+qK90+/PDDgMESESUXNbMU4QJvAMjyBktsH5CAItU6AGgKlmRmECm1afopOWbMGPXz8847L1pjIaIYUrc6MUcjs+Td8oRdvBOP2jogQtNwgP9+c0QpSHefpV69emHevHnYvXt3NMZDRDHS1DogOgXeADNLCUnJArUyDffN8W+w59Se0NdSrsHMEqU43cHS7373O6xevRp9+/bFmWeeiaeeegrl5eXRGBsRRVF9FDbRVSjTcMwsJSAlCxSiKWWtoxZPbX0KT2x9InRjUdYsUZrQHSzddddd2LRpE3bs2IFLLrkEzz77LEpLS3HhhRfi5ZdfjsYYiSgK6uzRK/BWArB6FngnHg0F3icbT0KGjAZXA+qcdcGvxf3hKE2EvSFU7969MX/+fOzatQuffvopjh8/jqlTp0ZybEQURQ3RzCxZuZluwtLQOqDKXtX0uaMq6HlqzRJbB1CKa9NPyY0bN2L58uVYuXIlqqurcc0110RqXEQUZXVR6uANNBV413MaLvFoyCz5BUv2KnTO7hz4RE7DUZrQHSzt2rULr7zyCl599VXs27cPF1xwAR599FFcddVVyM5mq16iZKHWLEWhwDvLwsxSwtLQOsA3m+QbOLXA1gGUJnQHS0ph94wZM/CrX/0KxcXF0RgXEUWR0y3D6ZYBRGcaLoPBUuLS0DpA9zQcWwdQitP9U3Lnzp3o1atXNMZCRDHiG8REo89SJqfhEpeG1gG+wVK1vTr4tVjgTWkirD5LRJTclCAmw2yEwRD5jvxNrQOYWUo4GloHNK9ZCorTcJQmNGWWCgsLsWvXLrRv3x4FBQUhtzupqKiI2OCIKDqiudWJ73UdLjdcbhkmY9gLbynStBR4a61ZYmaJ0oSmn5RPPPEEcnJy1M+5NxxRclMyS9GYggM8GSv1sZxu5DJYShxsHUCkm6ZgafLkyernU6ZMidZYiChGlJqlrChllowGCTazEY1ON+rtbuTaIrDDPUVGK5mlRlcj7G67+rWmaThmlijF6f5zz2g04tixYy2Onzx5EkZjdP5KJaLIUmuWotBjSZGprohjPUtCaaV1gBIcSfDMINQ6a+EKVpPEveEoTegOloLtE2S322GxBO/bQUSJQ80sRTVYUlbEscg7obTSOkCZdmuX0Q4G76+IGkdN4GspReJsHUApTnMO/u9//zsAQJIkvPDCC34NKN1uNz755BP07ds38iMkoohTApiMKPRYUmSy11JiaqV1gJJZyrfmwyW7UGmvRJW9CgW2gpYns8Cb0oTmn5RPPPEEAE9madGiRX5TbhaLBd26dcOiRYsiP0IiirimfeGin1mq4zRcYmmldYDSVynPmgeH2+EJloIVebN1AKUJzcHSvn37AADnn38+Vq1ahYKCAH9lEFFSaHB6M0tRWg0HNAVijcwsJZZWCryVwCjfmg+H2wHUhCjyZmaJ0oTuHPxHH30UjXEQUQwpmSVbFIMlJRBTAjNKEK20Dqi0VwIAci256qq4akeQLt5sHUBpQneB99VXX41HH320xfG//vWvuOaaayIyKCKKrkYlsxTFaTibhcFSQmots+TNIuVZ85BnyfM71gJbB1Ca0B0sffLJJ7jkkktaHL/44ovxySefRGRQRBRdsZiGUzNLnIZLLErNUiutA/KsecizeoKloPvDsXUApQnd03C1tbUBWwSYzWZUV4fYcJGIEoYSwDBYSkOy9/sRZBpOmXLLs3gKvIEQXbzZOoDShO7M0sCBA7Fy5coWx1esWIH+/ftHZFBEFF31MZiGy7B4frw0uhgsJRQ5+DScEMJvNVyuJRdAqAJvTsNRetCdWZozZw6uuuoq7N27FxdccAEAoKysDK+++ipee+21iA+QiCLP7lQKvKO3Z1uGmU0pE1KI1gE1zhrIkCFBQo4lRy3wDl6zxGk4Sg+6g6UJEybgzTffxMMPP4zXX38dGRkZGDRoED744AOMGTMmGmMkoggSQqgBTGYUm1IqgVgjC7wThxBN03ABMktKUJRtzobJYFJrlhrdnv3irEar/x3YOoDSRFg/KS+99FJceumlkR4LEcWAwy1D9m5bFN0+S54fL6xZSiC+GaAAwZLvFBwA2Iw2WAwWOGQHqu3VKMos8r8DWwdQmoheDp6IElKjQ1Y/j+40HFsHJBzfDFCAAm/flXCAZ3urXGuIuiW1dQCn4Si16f5J6Xa78dhjj+Gss85CSUkJCgsL/T6IKLE1OJsaUkqSFLXHsXkLvBuccitnUsz4rloL0DpAWfWmBEsAmnotBVoRp7YOYGaJUpvuYGn+/PlYuHAhrrvuOlRVVWHWrFm46qqrYDAYMG/evCgMkYgiKRY9lnyv73C54ZZFVB+LNFKm4SQDECBQ9u3erVACp8CZJbYOoPSgO1h65ZVXsHjxYvz+97+HyWTC9ddfjxdeeAEPPPAAvvzyy2iMkYgiKBY9lppfn1NxCUIJljR071aEDJbUzJLbUzxOlKJ0B0vl5eUYOHAgACA7OxtVVZ5/QJdddhlWr14d2dERUcQ1OD2/MKPZYwkATEYDzEauiEsoIdoGAKGDpYD7w/nWPbF9AKUw3cHSaaedhiNHjgAAevTogffffx8AsGnTJlit1lB3JaIE0OitIYrmJroKdvFOMK3sC+fbvVsRcn843+uwfQClMN3B0pVXXomysjIAwG233YY5c+agV69emDRpEqZNmxbxARJRZDX1WIp+sGTjirjEEvFpOJ8icdYtUQrT3WfpkUceUT+/7rrr0LVrV3zxxRfo1asXJkyYENHBEVHk+a6GizYlIGNmKUEo2Z8A03AOtwP1rnoA/sGS2jog0Go4SfIUiwu5qdklUQpqc/ves88+G2effXYkxkJEMdAYowJvgJmlhKNkf4wtf/QrU3AmyYRMU6Z63HcaTgjRst2E0Qy47GwfQCmNTSmJ0kxDDDbRVSiPwWApQSjTcAEyS75TcL4BkZJZcgu3mnnyw/YBlAYYLBGlmVj1WfJ9jEZOwyWGEAXegeqVAMBsMCPLlOV3jh/uD0dpgMESUZpR6odiuRqunsFSYpCD1ywFakipCLnlidpria0DKHUxWCJKM0rPo5ishvM+RqOLwVJCcAdfDRcss+R7LGCRt7o/HDNLlLoYLBGlmZiuhmOfpcQiB5+GUwq88635LW7T1GuJNUuUwjSthisoKNC84WZFRUWbBkRE0dUQjz5LDJYSQ4jWAZoyS6H2h+M0HKUwTcHSk08+GeVhEFGs1MejzxJXwyWGEK0DtARLAbc8YYE3pQFNwdLkyZOjPQ4iihF7DFsHsM9SggnVOsBbj+S71Yki5DScmllisESpq01NKRsbG+Fw+M9T5+a2XElBRIlBCKGuTItJ6wClwJvBUmII0jpACKEGQsrKN1+htzxRMkuchqPUpbvAu66uDjNnzkSHDh2QlZWFgoICvw8iSlwOtwxZCACx7bPEmqUEobYO8P87ud5VD7fwfI8CZZa0tQ5gZolSl+5g6Y9//CM+/PBDPPfcc7BarXjhhRcwf/58dOrUCS+//HI0xkhEEdLokNXPbeboL4Zln6UEo7YOsPgdVoKgLFMWzAFWyimZpVpnLdzN94AzsGaJUp/uabh///vfePnll3Heeedh6tSpOPfcc9GzZ0907doVr7zyCiZOnBiNcRJRBPh279a6wrUtbBZPQNbokls5k2IiSOuAGkcNACDbkh3wbtnmbEiQICBQ46hBvi2/6UalWJytAyiF6f7TsqKiAt27dwfgqU9SWgWcc845+OSTT8IaxLPPPotu3brBZrNhxIgR2Lhxo6b7rVixApIk4YorrgjrcYnSTSx7LAFApsXzi9ThcsMti5g8JoUQpHWAwxvoWI3WgHczSAb1tkZ3Y7Mb2TqAUp/uYKl79+7Yt28fAKBv377417/+BcCTccrPz9c9gJUrV2LWrFmYO3cutm7disGDB2P8+PE4duxYyPvt378fd999N84991zdj0mUrpTaoVishAMAm6npRwxXxCUAtcDbf1LBIXuCJXOAVXIKJVhyNp9uY+sASgO6g6WpU6fi66+/BgDce++9ePbZZ2Gz2XDXXXfhD3/4g+4BLFy4ENOnT8fUqVPRv39/LFq0CJmZmViyZEnQ+7jdbkycOBHz589Xs1xE1LoGp+ev/1gUdwOAyWiA2ej5McMi7wSgTsP51yw5vccD1SsplNuUwEqlFIuzwJtSmO6apbvuukv9fNy4cfj++++xZcsW9OzZE4MGDdJ1LYfDgS1btmD27NnqMYPBgHHjxmH9+vVB7/fggw+iQ4cO+M1vfoNPP/005GPY7XbY7Xb16+rqAE3ViNJEo9NTOxSrYEl5LKdbZvuAROAOvBqutWk4oCnr5Ghem6QEXmwdQClMV2bJ6XRi7Nix2L17t3qsa9euuOqqq3QHSgBw4sQJuN1uFBcX+x0vLi5GeXl5wPt89tlnePHFF7F48WJNj7FgwQLk5eWpH6WlpbrHSZQq6mM8Def7WJyGSwBBWgcoAZDFYGl+D5USSLXILLF1AKUBXcGS2WzG9u3bozWWVtXU1ODGG2/E4sWL0b59e033mT17NqqqqtSPgwcPRnmURIkr1gXeAHstJRR3+NNwFu99WmSW2DqA0oDuabhf//rXePHFF/HII4+0+cHbt28Po9GIo0eP+h0/evQoSkpKWpy/d+9e7N+/HxMmTFCPybJnWsFkMmHnzp3o0aOH332sVius1uCpZaJ00hjD7t0KG3stJQ5lxZox8Gq4UAXeym0tC7yV1gEMlih16Q6WXC4XlixZgg8++ADDhg1DVlaW3+0LFy7UfC2LxYJhw4ahrKxMXf4vyzLKysowc+bMFuf37dsX33zzjd+x+++/HzU1NXjqqac4xUbUioYY7gunULc8cTFYirsgrQPsbk9dp5aaJWfz6TbuDUdpQHew9O233+KMM84AAOzatcvvtnCa3M2aNQuTJ0/G8OHDcdZZZ+HJJ59EXV0dpk6dCgCYNGkSOnfujAULFsBms2HAgAF+91faFTQ/TkQt+TaljJVMTsMljiCtA9RpOA2tA5TASsXWAZQGdAdLH330UUQHcN111+H48eN44IEHUF5ejiFDhmDNmjVq0feBAwdgMER/WwaidKAELLGsWbIxWEocwVoHeAMdizF4gTdbB1A60x0sRcPMmTMDTrsBwLp160Led9myZZEfEFGKUjJLmVwNl55amYYLFSwpK+Va1iwprQMYLFHq0h0snX/++SGn2z788MM2DYiIoqcxjqvh2GcpASgF3gb/77+Wabigq+GM3O6EUp/uYGnIkCF+XzudTmzbtg3ffvstJk+eHKlxEVEUKCvS4pJZ4jRc/CmBTrMMkjK1FnIazhBsGo41S5T6dAdLTzzxRMDj8+bNQ21tbZsHRETRE9c+S8wsxZ9a4O2fQVJrlkI0pVQCqRar4dg6gNJAxCqnf/3rX4fcz42I4q8xDh282WcpQQjhMw0XpIN3qJqloNNw3vuwwJtSWMSCpfXr18Nms0XqckQUYUKIuLQOUAIzO/ssxZfs8/o3b0rpnVoL2cHbEKyDNzNLlPp0T8NdddVVfl8LIXDkyBFs3rwZc+bMidjAiCiyHG4ZshAAYtxnycLMUkLwzfw0r1nSsDecEki1bEqptA5ggTelLt3BUl5ent/XBoMBffr0wYMPPogLL7wwYgMjoshqdMjq5zZz7HqX2Uws8E4IvpmfZqvelABIS+uAoNNwzY8TpRDdwdLSpUujMQ4iijLfKbhwuu2Hi32WEoSS+ZEkoFmjXy2ZJSWQYgdvSkdh/XlZWVmJF154AbNnz0ZFRQUAYOvWrTh06FBEB0dEkdPWlXA7K3Zif9V+3fdTgiWnW4bLLbdyNkWNkvkJ0EtJ3Ug3VM1SsNVwvtNw3mleolSjO7O0fft2jB07Fvn5+di/fz+mT5+OwsJCrFq1CgcOHMDLL78cjXESURs1tGElXJW9Co9tfgw2ow1PnP8ETAbtPzpspqa/yRpdMrKN3L4oLoK0DZCFDJfwZJ3C6+Dtcz3Z3WLfOaJUoPun1qxZszB16lTs3r3bb/XbJZdcgk8++SSigyOiyGlwen4hhlPc/WP1j3ALN+pcdThWf0zXfU1GA8zeAIl1S3GkZIQMgTfRBbQVeLechvO5D9sHUIrSHSxt2rQJv/3tb1sc79y5M8rLyyMyKCKKvEanZwosnGDpQM0B9fOfan7Sff8MbqYbf25vzVLztgE+hdmaMkstpuF8rse6JUpRuoMlq9WK6urqFsd37dqFoqKiiAyKiCKvvg3TcAerD6qf/1QbRrDkfcxG9lqKHyXICdI2wCgZYZCC/0pQm1K22O7E5z5sH0ApSnew9Itf/AIPPvggnE7PPzxJknDgwAHcc889uPrqqyM+QCKKjLYUeLc1s8ReSwlAyfqE0TbA93ZZyHA1D4rYPoBSnO5g6fHHH0dtbS06dOiAhoYGjBkzBj179kROTg4eeuihaIyRiCJA3epEZ7DU4Grwq1MKJ7NkZa+l+FMCHGOQrU5C1Cs1v73l/nBsH0CpLaymlGvXrsVnn32G7du3o7a2FmeccQbGjRsXjfERUYQomaVMndNwh2oOQUAg05SJelc9TjScQIOrARmmDM3XUB6zkb2W4idI6wAtbQMAwGQwQYIEAQGH2+H//VfbBzBYotQU9hrPc845B+ecc04kx0JEURTuNJwyBderoBd+rP4RlfZKHKo5hJ4FPTVfI4Ob6cZfkNYBSg1Sa5klSZJgNpjhkB0hMkusWaLUFFawVFZWhrKyMhw7dgyy7N9kbsmSJREZGBFFVrh9lg5Ue4KlLjld4JJdnmCpVmewxMxS/AVpHaBOw7VSswR4sk8O2RF8yxNmlihF6a5Zmj9/Pi688EKUlZXhxIkTOHXqlN8HESUm3+1O9FAyS6U5pTgt+zQA+uuWlGxWPYOl+AnSOkBrgTcQYn84A2uWKLXpziwtWrQIy5Ytw4033hiN8RBRlChZHT2ZJbfsVle/dcntojYk1LsiTgnQGjkNFz9KgNMsKFI6cpsDbIPSXND2AUafLU+IUpDuYMnhcGDUqFHRGAsRRVF9GKvhyuvL4RIu2Iw2FGUUocHVAMATLAkhNG/Iy810E4ASyDSbhlMCYE3TcN6AqsWWJ2pmia0DKDXpnoa76aabsHz58miMhYiiKJwCb6VeqTSnFJIkoVNWJxhgQJ2rDlX2Ks3XYbCUAOQgHbw1FngDoTJLnIaj1KY7s9TY2Ijnn38eH3zwAQYNGgSz2f8f3sKFCyM2OCKKnMYwCrwP1ng6d3fJ7QLAU+BbnFWMI3VH8FPtT8i35Wu6jo19luIvSOsApWaptdYBgE+w1KJmia0DKLXpDpa2b9+OIUOGAAC+/fZbv9u0puSJKLaEEE19lsLMLClOyz4NR+qO4GDNQQxoP0DTddhnKQEEax3gDXysRmurl1Cm4VquhmPrAEptuoOljz76KBrjIKIocrhlyEIA0D4NJ4RQV8J1yemiHu+c0xmbjm7CodpDmh8/g9udxF+QmiW1KaWGAm8loGo5DcfWAZTadNcsEVHyaXR4+qFJkGAza/tnX2mvRK2zFgYY0Dm7s3pcbR+gY0WcuhqOmaX4CZJZUqfhdKyGa1ngbfJ/DKIUw2CJKA3UOz1ZBZvZoHm6XMkqdczu6FfPclqOJ1g6XHsYbllb8KNks1jgHUdBWgfoakqpTMMFK/Bm6wBKUQyWiNJAo9OTWdJT3O3budtXUUYRLEYLXMKFo/VHNV1LeVynW4bLLbdyNkVFKx289dQssXUApRsGS0RpoN6hZJb0r4QrzS31Oy5JEjpneabltNYt+fZ2YnYpTpQsYBum4ZSASunNpGLrAEpxDJaI0kBjGFudBCruViir47TWLRkNEiwmTsXFVZDWAWqBt4bWAco5LTbSNbCDN6U2BktEaaDBW+CtNVhqcDXgWP0xAP5tAxRK3ZKSfdLCZvL8uFGKzSnGghR4K1kiLdNwSuPKFsESM0uU4hgsEaUBtceSxpqlI7VHAAD51nzkWHJa3K6sjtOzoW4mu3jHV5AO3uGshms5DectDmfNEqUoBktEaUAJUKwaM0vVjmoAQIG1IODtSmbpRMMJdb+41jT1WuJUTVy4Axd4K8GSrtVwQTt483tLqYnBElEaULY60ZpZqnHUAACyLdkBb8+x5CDDlAEAqGys1HRNm9pridNwcdFa6wAde8MFnYZjsEQpisESURpQsjlaa5ZqnbUAEHAKTpFt9gRSNc4aTdfMUHst8RdqXLTWwbtNe8OxdQClNgZLRGmg0eXJ5mhtHaBmlsyBM0tAUyBV56zTdE01WGKBd3wE2xtO1pFZMgQJlljgTSmOwRJRGqht9GQVsqzatoNUAqBg03AAkGXOAtAUWLUmgwXe8aU2pWwKloQQaoNJTTVLbB1AaYrBElEaqLV7follawyWopFZyrR4HrvOzl+ocREgs+QWbsjwZPq0BEvMLFG6YrBElAZqvJmlHJu2YEmpWQoVLKk1SxozS8pj1zJYio8ArQN8gx49Bd4tgyW2DqDUxmCJKA3UNHr+4tcaLCnZopAF3t4pOiWwak2297GVwI1izN1yGk6ZTpMgwWRo/b0RdDUcp+EoxTFYIkpxQgjUOcKbhlPqkgJRMku1Dm3BUq4aLHGqJi7U1gEtM0tmgxmSJLV6CbXPkuyAEKLpBrYOoBTHYIkoxTU43XDLnl9s2RoyS0IIbZkls87MktXzC5WZpTiQfYrqfTJIyko4LW0DAP+6Jr/sElsHUIpjsESU4pSVcBaTEVZT660D6l31EPAEVyEzSxZ9maVs1izFj2/hdYDMkpZ6JcB/SxS/YIkF3pTiGCwRpbhqpbhb5xSczWgLWceiN7Ok1EvVO1xqpotiJFAWCD7BkoaVcABgMphgkAx+9wXAaThKeQyWiFKc3rYBSqYoVI8loClYqnPW+devBDvfYoIEyW9MFCO+GR9DU3ZRz75wioDtA5SgmpklSlEMlohSXG2YbQNyzMHrlYCmYEpAoN5V3+p1DQYJWVbPL2oWeceYb9sAn0Ju3wJvrdT2AbJvZomtAyi1MVgiSnG1dk9goqW4G2h9E12FyWCCzWjzu09rlOwWi7xjLEDbAMBnq5MwMktOv2yVz3tLZod2Sj0MlohSnFqzZNOWPdCyEk7BIu8kEaBtABBeZklZOeefWfK5P6fiKAUxWCJKcbV6C7ydrfdYUugv8jb7jYliRJmGa1awr2SHrEar5ksF7OLtG2w1b1hJlAIYLBGlOLXAW2vNklLgHWKrE4WSWdI9DcfMUmwF2BcOaNs0nH+w5NOSgpklSkEMlohSnO7VcBr2hVP4rojTgl2840QOXLOkrIZrc4G3JLF9AKU0BktEKU7vvnBaWwcAPpvpOjVmlrg/XHwEySzZ3XYA+jJLSmDlbJ5BMrAxJaUuBktEKa4m3NYBOgq86xzaMkvKliesWYox39YBPvR28AaCZJZ8r832AZSCGCwRpbimaThtUy1KZklPgbfWzFIOV8PFR5DWAS5vEKV1bzggSIE30FQ8zmk4SkEMlohSmMsto9Hp6XujdRNdrU0pgabsk9aaJfZZihO1dYD/e0CdhtORWVKm4VoES9wfjlIYgyWiFKYEJRIkZFn0baKrq2ZJ42q4XG/rABZ4x5g6DecfFOndGw5oajPgbN4iQMlasXUApSAGS0QpzLdtgOSzzUUwWjfRVah9lsJoSqllPzmKEHUarlmfpTBWw7WeWWLWkFIPgyWiFFajsyGlnpVwvudp3kzXOw5ZCNQ7uC1GzARpHRBOZilgB2/Ap3UAM0uUehgsEaUw3Q0pdfRY8j1PhowGV0Or51tMBlhNRr+xUQwEa0rpDZZ0dfAO1JQSYOsASmkMlohSmO4eS059mSWz0axmJTR38WZjytgLEiyFMw2nBFYtp+G87zG2DqAUxGCJKIWF2zZAy0o4RfhdvJlZihlnvef/5gy/w8pUmp7WAWpTyubTbcpUHjNLlIIYLBGlMCUg0TsNp6XHkkJ3F2+2D4g9pWlos4xhOE0plcCqRbBkzvT8X2PQTJRMGCwRpTAls6S3wFtL926F2mtJbxdv1izFjhos+QfBypYl4bQOUHo0qZRATOP7gCiZJESw9Oyzz6Jbt26w2WwYMWIENm7cGPTcxYsX49xzz0VBQQEKCgowbty4kOcTpbOwa5Y0Fnj7nqu7izczS7GjTsNl+h1WpuHC2RuuRc2SxXttR314YyRKYHEPllauXIlZs2Zh7ty52Lp1KwYPHozx48fj2LFjAc9ft24drr/+enz00UdYv349SktLceGFF+LQoUMxHjlR4lOn4bRmlnQWePueq7fXUjULvGMnQGZJCBFWgbcSWHEajtJJ3IOlhQsXYvr06Zg6dSr69++PRYsWITMzE0uWLAl4/iuvvILf/e53GDJkCPr27YsXXngBsiyjrKwsxiMnSny1OmuWlBVt4WSWlECrNbncHy72AmSWfIMdPZmloK0DOA1HKSyuwZLD4cCWLVswbtw49ZjBYMC4ceOwfv16Tdeor6+H0+lEYWFhwNvtdjuqq6v9PojSRY1as6RvNZyuzJLOYEmpWWKBdwwFyCz5BjvhFHi3DJay/B+LKIXENVg6ceIE3G43iouL/Y4XFxejvLxc0zXuuecedOrUyS/g8rVgwQLk5eWpH6WlpW0eN1EyEEKomSUtNUtCCHX5v67WAWFOw7FmKYaU741PEKzUKxkkA4yG1vcNVASdhlODJW3vA6JkEvdpuLZ45JFHsGLFCrzxxhuw2WwBz5k9ezaqqqrUj4MHD8Z4lETxUedwN22KqyFYqnfVQ4YMAMiy6G8doDWzpARuNXbWLMWEywHI3q1lLE3TcOG0DfA93y3ccMs+W9aowRILvCn1aCtkiJL27dvDaDTi6NGjfsePHj2KkpKSkPd97LHH8Mgjj+CDDz7AoEGDgp5ntVphtWpv5U+UKpTMjdVkhNnY+t9FSmbIarTqKvjVm1nKYZ+l2PItuPatWQqjbUDz8x2yAxmGDP9rOxksUeqJa2bJYrFg2LBhfsXZSrH2yJEjg97vr3/9K/785z9jzZo1GD58eCyGSpR0ar2ZG70NKfVMwQH+mSUtm+nm2LxNDd0y7C5upht1Dp/u3ZLUdFgOL7PkG0j7TcX51ixpeB8QJZO4T8PNmjULixcvxksvvYQdO3bg1ltvRV1dHaZOnQoAmDRpEmbPnq2e/+ijj2LOnDlYsmQJunXrhvLycpSXl6O2lvPkRL6UzE2u3pVwOoq7gaamlG7hRqO7sdXzbWYDjAbJb4wURUEaUirTcHq2OgEASZIC91ryvb6z9U2ViZJJXKfhAOC6667D8ePH8cADD6C8vBxDhgzBmjVr1KLvAwcOwGBoiumee+45OBwO/PKXv/S7zty5czFv3rxYDp0ooentsaQUd+tpGwB4pmXMBjOcshO1jlpkmDJCni9JErKtJlQ1OFHb6EL7bE6TR5Va3N0sWAqjIaXCYrDAKTv9gyWjBTAYPfVRjjq/+iiiZBf3YAkAZs6ciZkzZwa8bd26dX5f79+/P/oDIkoBejfRVTpw680sAZ4A65T9FGqcNShCUavn59jMqGpwMrMUC2qPpcCZJb3TcIA3G+VqNg0nSZ7Vdo1V3gCt9fcBUbKI+zQcEUWH3oaUyt5uejbRVSgBlvb94bgiLmaUmqVmmZ5wC7x979Oi1xKLvClFMVgiSlFqQ0q9Bd46NtFV6N0fLpe9lmKnlWk4PSsfFWoXb5n7w1F6YLBElKLUTXQ11iyFs9WJQrlPncZ9wZRsF6fhYqC1abg2ZJaU7FTTDcqWJ1xwQ6mFwRJRitI7DdemzJLeLt7eOiruDxcDwVbDtaHAO+BqOIDTcJSyGCwRpahadRpOY4F3BDJLurt4N7JmKeqCBEtKViisaThjsGk47g9HqYnBElGKqrHrax0Qzia6CiUbpXd/uBpmlqJPyfIE6bNkNepv3RC0wJv7w1GKYrBElKL0NKX03UQ3nMySsoKOBd4JSMnymP1Xw0WnwJv7w1FqYrBElIIcLhkO71YiWmqWGlwN6ia64QRLujNL3polFnjHQLBpOG+PJL0dvIFQBd6chqPUxGCJKAUp9UpGg4QMs7H18721RhajJaxfnkpmSWvNUjZrlmInSLBkd9s9h8NoSmkyeL5/LQu8vY+hcVUkUbJgsESUgpTprSyLCZLP5qlBz3eEt4muwjezpG0zXc8v2wanGy63HNZjkkZq64DATSnDqVlS7sM+S5QuGCwRpaBqpceS1pVwbdjqBGjKLLmES81YhJJtMUGCJ4irs7vDekzSQAifppT+31t1Gq4tq+GCFngzs0SphcESUQqq1dm9uy1tAwDAZrTBKHmm+7RMxRkMErKsnvO55UkUueyegAlosd2JEuiEM+2qBFh+e8MBbEpJKYvBElEKUhtSamwbUGmvBADkW/PDejxJksIo8mYX76hTpuAkCTDZ/G5SMoARbR3AppSUohgsEaUgJbOktXt3lb0KQPjBEtBUt1TtqNZ0Prc8iQElcDVneQImH22ahjO0Mg3nsgNufl8pdTBYIkpB6r5wGoOlU42nAAD5tvywH1MJtJQsVWuUeqpaTsNFjyNwQ0qgqcA7rO1OvFN3LQq8fYvImV2iFMJgiSgF6e3erQQ4BdaCsB9Tua8SeLWG03AxoLYNyGxxk9o6IJyNdINllowmQLkegyVKIQyWiFKQUrOkNbOk1iy1JbPkva/WzJLaxZtbnkSP0u/IHCCz1IZpOKXOqUWBN8AVcZSSGCwRpaDKBs8vsVwNrQOEEG0u8AbCyCyxZin61Gm4lpklZQotnMxS0KaUAFfEUUpisESUYoQQOFLZAAAozrW1cranIFsWMiRIyLXkhv24ejNL+ZmeX9Inalrvy0RhUnss+WeWXLILsvA0Aw2ng7e63UnAzJLSmJKZJUodDJaIUkxVgxMNTjckSCjJaz1YUoKbHEuOmjEIh97MUuf8DADAkarGsB+TWqHWLAVuSAmEl1lSpuECNiDlZrqUghgsEaWYw5We4KMoxwqzsfV/4pGYggOaMks1zprAGYdmOnmDpZN1djQ62cU7KoJsdeI7fRZOzZLalLL5RroA94ejlMRgiSjFHKnyTMF1zG89qwQAlY2VAIACW/gr4QDPvnJKF2+lb1Mo2VaTWlPF7FKUBFkN51vcrWXvwOZ8p+Fa7AXIAm9KQQyWiFLMYW+9Uqe8DE3nn7J7eyy1MbMkSZLuqTglu6SMmSJMySw1m4ZTMkvh1CsBTZklAQGX3KxAnzVLlIIYLBGlmMPeLE1HDfVKQGS6dyv0FnkrYzzEYCk6lIAlyDRcOPvCAf51Ti0aU6qr4RgsUepgsESUYpSVcErWpjVKFqit03BAU5F3RWOFpvOZWYqyIKvh2tI2APC0DjB4f320qFviNBylIAZLRCnE5ZZxzLsUX2uwFKkCb6Ap4NJSswQAnbx1VUcqWbMUFUG2O1G3OglzGg5oykq1WBHHzXQpBTFYIkohR2vskIWAzWxEQaa2KZZIBkvKNJzemqUj1Y0tC4Wp7YKthmtjZgnw2fKkxTQcM0uUehgsEaUQZQquY55N0yonl+xCjaMGQNu2OlGoBd52bcFShxwbTAYDHC43TtQG6AZN4RPCZzVcs2k4pWYpjLYBiqCNKRksUQpisESUQpTibq0r4arsVRAQMEpG5Jhz2vz4SnZKa2bJaJDULuNKywOKEKfP69ksWKrz9kDKMGl7nwSiBEt2F6fhKPUxWCJKIUqhdEeN9UpKbVGeNS+sfjvNKTVLlfZKzdNqSt0Si7wjTMnsGIxAs+k2JZgttBWGffk8a57nWs2ziL57w3FqlVIEgyWiFKKuhNPYNiBSPZYUynWcshP1Lm2ZBaVu6RCLvCNL6aBtzgKaBcLKasW2BEvKfVusfFSyWLIbCLTRLlESYrBElELUHktaV8J5u3dHKliyGC3IMnl+WWptH6D0WmJmKcKCrIQDgJONJwEAhRnhB0vtbO0AABUNzb7PZp/3HuuWKEUwWCJKEbV2F2oaPcW2WhtSKivhItFjSaFOxXkDsdY0bajLYCmi1O7dmS1uimpmSZKa6pYYLFGKYLBElCKUzExhlgU2s1HTfSI9DQf4tA/QuCJOyYJV1DnQ4OCGuhGjNKQ0+2eWhBARqVlql+HNLAXKICrZLBZ5U4pgsESUItTibo0r4YCmAm9lyX8kKNfSuuWJ/4a6zC5FTJC2AdWOariFGxKkNgXJSqClTOn54f5wlGIYLBGliCNK2wCN9UpAU1Ygz5YXsXHobR8A+DSnrGKRd8QEqVlSgps8ax5MBlPYl1emWxtcDWhwNQtyuT8cpRgGS0QpQu9KOCA6mSUl46A1swQ0tQ/ghroR5AycWVIKstsyBQd4ejRlmjwZpKAr4hgsUYpgsESUIpSl91pXwjncDnV5f1RqlsLILHFFXAQ5Am91ogQ2ymq2tlCLvFusiFMaUzJYotTAYIkoBciywNFqpXu3vpVwFoOlTZ2cm1O3PNERLCl1VgyWIkitWQocLEViBWTQIm9Ow1GKYbBElAKO19rhkmWYjQa0z7Zquo8SzOTb8iPSvVuhZJZqnDVwyS5N9+nsU7PEDXUjRFkNpwQuXpFYCacI3phSKfDmajhKDQyWiFKAkpEpybXBYNAW+CiZpUhOwQFAjjkHRsno9xitKcqxwmQwwOmWcbzW3vodqHXO0AXeSlaoLYKuiOM0HKUYBktEKeCwznolIHrBkiQ1LUnX2pjSb0NdbnsSGa3ULEViGi54ZonTcJRaGCwRpQClP5GelXCR3urEl9o+QGNjSgDo7F0Rx15LEaJOwzVlllyyS10BGckC75MNzTJLXA1HKYbBElEKUDJLenosKYFMJLc6UYTXPoAb6kaUs2VmqdJeCQEBo2REriW3zQ/hW+DtV2um1izVtvkxiBIBgyWiJOdyyzhQ4fkLXulXpEW0puGA8NoHKFOIBytYFNxmsgw4vRk6n8yS7xRcJIr68635kCDBLdyodlQ33aBOw/F7SamBwRJRktt+qAq1dhdybWZ0a9dyh/lgohkshdM+oG9JDgBgZ3kNTtU5Ij6mtOK7J5vParhI9lgCAJPBhDyrp/u7X5G3WuDNYIlSA4MloiT3ya7jAIBzerWHyajtn7QQIro1S97Mkp5puOJcG/oU50BA4NM9JyI+prSiBClGM2Bs2tIkUt27fSnX8guMfWuW2AqCUgCDJaIkVmd3YcuPnl9S5/Yq0ny/BlcDHLInexONmiU1s6SjwBsAft7b8xw+2XWc/ZbaQqkVCrISLpLBkpKl8ivy9m1X4GTBPiU/BktESWzDvpNwumWcVpCJbu0yW7+Dl5LxyTRlwmK0RHxcSgBW2VipK+g5u3s7mI0G/HSqHvtOcCVV2NRNdP0bUkaybYAiYPsAowUwGL1j4feRkh+DJaIk9skuz3TVub3a6yrYVTI+Sr1JpClTew65af85LbKsJgzv6vnlq0wvUhha2eokEg0pFQG3PJEknyJvroij5MdgiShJHatuxPfl1ZAg4Zye7XXdt6rR02tHmS6LNIvRgiyTZypGT5E3APy8t+e5fL73JFxuOeJjSwtK5+wg3bsjOQ2nZKlaNKZkkTelEAZLREnq092erNLPOuWincb94BQnGj33VQqxoyGcIm8AGHRaPvIzLKhpdGLbQX33JS8ls2RuCpYcbgfqvEFUNGqWuD8cpTIGS0RJSAiBz7wrxpSiaD2+PvY1AOD0vNMjOi5fyi/kI3VHdN3PaJBwTi9PdolTcWFytNwXTglmLEYLMk3a69taU5jh+T5X2av8N07mNBylEAZLREloz7FaHKlqgMVkxFmn68sSlNeVY1/1PhhgwJklZ0ZphED/dv0BABuObNB93zHeAHDrgUrUNDojOq604GxZs+TbYykSDSkVOeYcmCQTBIT/lCun4SiFMFgiSkKfeKfgRpxeCJvZqOu+G8s3AvAEM5HY8iKYszueDQMM+KHqB5TXleu6b2lhJk5vnwWXLOPzPSdbvwP5CzANF422AYBn42Qlu+Q3Fcf94SiFMFgiSjInau34Yk/TKjg9hBD48vCXADzBTDTlWfMwoP0AAMDnhz7XfX8lu/TBjqOwu9wRHVtKEwI4vM3zeW5H9XC0giXfa/p18c7yvjePfx/xxyOKNQZLREmkzu7CI+9+jzqHC10KMzGgk76l/wdqDqC8vhxmgxlDi4dGaZRNRnceDQBYf2S97iaTo3q2R5bFhJ9O1ePZD/dAltmkUpPDXwG1Rz3TYF1Gqoej0b1bEbDX0uljPP8/uBGoZe0ZJTcGS0RJwuWWsXDtLvx0qh4FmRb88aK+MBj01Z4o9UODiwYjw5QRjWH6GVI0BBmmDFQ0VuD7Cn0ZhlybGXeP7wOTwYCN+yuw7Iv97Oqtxa73PP/vcQFgalolGc3MkroirsEnWMovBUoGej7f/X7EH5MolhgsESUBIQT+3yc/4L+Hq2AzG3HPRX3RXme7ACGEGiyN6DgiGsNswWw046ySswAAXxz+Qvf9+3XMxYzze0KChPe/K8fbXx+O9BBTS30FcGC95/Pe4/1uUnssZcRoGg4Ael/k+f+uNYDMqVRKXgyWiBKcEAIrNx3Ep7uPwyBJuGtcb3Rrn9X6HZvZdWoXTtlPIcOUgUHtB0VhpIGN6jQKALD56GbY3Xbd9x/Zox1uHNkVAPDqxgNYt/NYRMeXUvaUAUIGivoChU1tIYQQfqvhIk3p4t2iAWnXUYAtD2g45ZmOI0pSDJaIEpQQApv2V+Ce/9uON7cdAgBM/3l3DC7ND+t6Xx7xFHYPKx4Gs9EcqWG2qmd+TxRlFMHutmPL0S1hXeOSgR1x6UBPsfKij/fiodXfYdfRmkgOM/kJ4cngAE0ZHa8GV4MaqMaswBsAjGag51jP57vejfjjEsUKgyWiBONwydjyYwX+9Oa3ePz9nThQUY8MsxFTR5+O8/t0COuaLtmFzeWbAcRuCk4hSVJToffh9WFf59dnd8WlgzrBaJDwzaEqPPDWt3jk3e/xfXk1i78B4Mi2psLu08/1u0kJYrJMWVHdOLnB1YAGV4P/jb0v9vz/0FagRl8LCaJEYYr3AIjSXU2jE4cqG7DjSDW+PVSNXUdr4PTuiWY1GXHxgBJcNrgTsq3h/3P99sS3qHPVIdeSi36F/SI1dM1GdhyJN/e8ie9OfodTjafC2vVekiTceHZXjP9ZMd7Yeggf7zqObQdPYdvBU8i0mNCvYw76d8xDn5IcdM7PQIZFX/+ppKcWdp/vV9gNNE2PRXIDXV8ZpgxkmbJQ56pDRWMFOmd3broxtyPQaYinncGu94Bhk6MyBqJoSohg6dlnn8Xf/vY3lJeXY/DgwXj66adx1llnBT3/tddew5w5c7B//3706tULjz76KC655JIYjpgoNJdbRp3DjXqHC3V2N2rtLlQ1ONWPyjoHyqsbcbS6EbV2V4v752dYMLpXe/xicCfkZYQ/ZVbvrMe7+97F2h/XAgDOLDkTBin2CeWizCL0LuiNXad2YeGWhbii5xU4o8MZYXWS7pBjw2/H9MAVQztj1dZD2LjvJOodLmz58RS2/NhUM5NrM6Mkz4biXBvyM83ItZmRl2FGboYZ2VYjMi0mZFlMyLQaYTYmeZK94RTwo7eAvllhN+BpGQFEZwpOUWArQF1tHQ7WHPQPlgCgzyWeYGn3+8CQiYAxIX71EGkmiTivxV25ciUmTZqERYsWYcSIEXjyySfx2muvYefOnejQoeWUwxdffIGf//znWLBgAS677DIsX74cjz76KLZu3YoBAwa0+njV1dXIy8tDVVUVcnOj172YEo8QAi5ZwOUWcLhlON0yXG4Bp1uGwy3D4fIcc7pl2F2erz3HBBxuN+xOz3l2pwy7yw27y3Neo9Pt/ZDR4P1cyQxpVZhlQc8OORjQKRc/65yHTnm2sLekcMkuVNorsal8E9754R3UuTwdlHvk9cBtZ9wW1a7doeys2Imntj6FRncjAKA0pxS/6PEL/Kzdz2Az2cK+rlsW2H+yDv89XI3vDldj7/Fa3VukmAwG2MwGWM1G2ExGWM0GWIwGWM0GWI0GWEwGmI3eD5MBFqMEk8HzudkgwWQ0wGSQYDRI6v+NBgkGgwSj5PlckgCD1PR/AFC+w5LkKTlSfhgLAchCwC0L9XPlwy17nrNbFnDJMoyNJ9HhhzfR/vCHqMnujq8HPwCX23PboYad2F75EY437ocA0DdnNIbmX+p5QABGyTNeg3fcJqMEi/c5Wk0GWE1G2MwG2MxGZJiNPv83tHh/PvPVM9h6bCsAT2uKS0+/FD0Lenq/SS7g9ameoG7or4G+lwLWnHC+3ZTG4vn7O+7B0ogRI3DmmWfimWeeAQDIsozS0lLcdtttuPfee1ucf91116Gurg7/+c9/1GNnn302hgwZgkWLFrX6eAyWIuNozTHc/sGd6k939U2k/sAXAY95SBDq/YTP7cq5nh/Cvu/M5r9Imm6TIITnsZqOS+rnTcclb48e5ZeU5P1cQrNfWz63K59JgJCaPvc9rt5HUq/pe9xkMMBiNMJs8P4iNhtgNZlgMxmRbTUjy2JCls0Es8Hguafkc5UAsZIQgAxPIOaW3XDJLjhlF5yyE/XuBpyyV6HKUeP76qNjRgf8stvFGFLY3/sLTjRdzP/qLR8wLN6BS/6vKQDUOevx/uFPsfbwZ2hUV8ZJsBmtKLDmocCSB5vJCrPBDJNkhMlggkkyApIEg89rGyqQFELAIQvU2l2obXCh1u5Eozeotbs8Aa3T5Ql8XW7h91q1+pwCHm12m2j+nmp+dsvjUrOv/N5ZwvMvwgg3jMINE1wwCSdy5SqUuH5CvlwBAUAGsMk2HAfMnSAkJxzSMdilo97rGJEtD0CB+xwYEZn+Wr4BlM1sgGyoxkHXRzjh/E4NCDvYuqLA0gEWowWdqr5DccXX3u8j4MzqCHvu6XBb8yEZzRBGsyfj5P1+Q5L83kICnp8XEjz/jpV/B8LnJ44sPK+E51zZ+7PBc7sM2fszQQa8/44EBIRoOl8WQv0/ILznC8jCey4EhDdo9fwnN/2b9J6rnO8/Jvg8jvAbl+/Xnp9XTe9Hz8/Hpneocq7v82467nNUtPzX7He+9xrtbUV45uKndH/v4yWev7/jmgt1OBzYsmULZs+erR4zGAwYN24c1q8PXAi6fv16zJo1y+/Y+PHj8eabbwY83263w25vWq5cXV3d9oETGmsqgeM71K/9f9gnD79xS77HpQDHmu7Q/HblNt/j6l0FALfnw9UIuADUAYjmjmdGSCiGERchC6NQCcOB3VF8NO2yAFwJ4H8g433U4SM0oA4yGgEc8X5Em8n7kWEAYECzXy7CJ5D3/t83aPf56yBgqKnG4xpCMOH/qfp+CRxjQcDz3nEDsENCHYAjFs/tLoMNdlMuGi0VMEqeFgFmSMgzZKFn9gj0zTkX2eaW3d5lNUPl+b/Tm2F1uAUcLk8GtdHZlD1tcLrVX/7KsSZGAOOQgzNQZdyIKsMOVNTvArDL8zQEkGe0IEuuhRlOoH6354PixoEf4z2EpBHXYOnEiRNwu90oLi72O15cXIzvvw/c7be8vDzg+eXlgVdZLFiwAPPnz4/MgEmVb8vBPbVN9Q++f+k3BQ6+B/ynHJSvhRQgMJEkvwso2RYBETgg8X4iNXsQg/cyQr2kz1/wkuTzF2fT7y1Z+evO+7VQb2/65ef2Odf/nKbzgn3ddH7T44hm50I9t+k1VX6Z+mYcjJBgliSYIMEMCVZIKJRMKIQJuVCmSZr95m2RkWntdo2CJqibZ7E8/88GcBWycBWABiGjEm6cghuVwoVGyHABcAkBFwTcPq+VjEBBiF+o4f90mv2/+fGQYw7wlQh4RtMxvwyANwcCv2MtzwVavj+Eb0rF+30UkgQYzIDBCBjNEOYMGPJOA3JPg2TOgEEywGK0wGa0wWK0INucjeElw5Fjidx0lxCeKWwlgGpwuNHo8v7fKaPR5YbDdTrsrqGoaKjADzXfoNHdALvbAYf3wy3cMLnqkG0vR6b9GMyyHQbhgkG4YZBdkCBg8GZUJG8E6slGeSLUppyw9xXyO+Y5avA57rm/zzmiKa9s8L7oSsWawfuaG5o9ju991XOVn08trtGUQWy6X8t/v745at8xw+c235+jyv8NPl81/yPVN0cZ6A9BQ7NbnRlFIG1Svspu9uzZfpmo6upqlJaWxnFEqSGvsCPOmFUW72FQCsjwfnRs7USKO0mSYDUZYTUZNSw86ASg9TpSomQQ12Cpffv2MBqNOHr0qN/xo0ePoqSkJOB9SkpKdJ1vtVphterbFoKIiIhIEdf1shaLBcOGDUNZWVOGQpZllJWVYeTIkQHvM3LkSL/zAWDt2rVBzyciIiJqi7hPw82aNQuTJ0/G8OHDcdZZZ+HJJ59EXV0dpk6dCgCYNGkSOnfujAULFgAA7rjjDowZMwaPP/44Lr30UqxYsQKbN2/G888/H8+nQURERCkq7sHSddddh+PHj+OBBx5AeXk5hgwZgjVr1qhF3AcOHIDB0JQAGzVqFJYvX477778f9913H3r16oU333xTU48lIiIiIr3i3mcp1thniYiIKPnE8/d3kvf4JyIiIoouBktEREREITBYIiIiIgqBwRIRERFRCAyWiIiIiEJgsEREREQUAoMlIiIiohAYLBERERGFwGCJiIiIKIS4b3cSa0rD8urq6jiPhIiIiLRSfm/HY+ORtAuWTp48CQAoLS2N80iIiIhIr5MnTyIvLy+mj5l2wVJhYSEAzwa9sX6xU011dTVKS0tx8OBB7rPXRnwtI4OvY+TwtYwcvpaRUVVVhS5duqi/x2Mp7YIlg8FTppWXl8c3bYTk5ubytYwQvpaRwdcxcvhaRg5fy8hQfo/H9DFj/ohERERESYTBEhEREVEIaRcsWa1WzJ07F1arNd5DSXp8LSOHr2Vk8HWMHL6WkcPXMjLi+TpKIh5r8IiIiIiSRNplloiIiIj0YLBEREREFAKDJSIiIqIQGCwRERERhZASwdKzzz6Lbt26wWazYcSIEdi4cWPI81977TX07dsXNpsNAwcOxDvvvON3uxACDzzwADp27IiMjAyMGzcOu3fvjuZTiLlPPvkEEyZMQKdOnSBJEt58802/26dMmQJJkvw+Lrroolav29r3orGxETNmzEC7du2QnZ2Nq6++GkePHo3kU4up5557DoMGDVKbzY0cORLvvvuuens4z1fL+6+iogITJ05Ebm4u8vPz8Zvf/Aa1tbVReY7x8Mgjj0CSJNx5553qsfPOO6/Fe/KWW24JeZ10fS0PHTqEX//612jXrh0yMjIwcOBAbN68Wb093J9x6fbvu1u3bi3ec5IkYcaMGQD4ntSjpqYGd955J7p27YqMjAyMGjUKmzZtUm9P+PekSHIrVqwQFotFLFmyRPz3v/8V06dPF/n5+eLo0aMBz//888+F0WgUf/3rX8V3330n7r//fmE2m8U333yjnvPII4+IvLw88eabb4qvv/5a/OIXvxCnn366aGhoiNXTirp33nlH/OlPfxKrVq0SAMQbb7zhd/vkyZPFRRddJI4cOaJ+VFRUhLymlu/FLbfcIkpLS0VZWZnYvHmzOPvss8WoUaOi8RRj4u233xarV68Wu3btEjt37hT33XefMJvN4ttvvxVChPd8tbz/LrroIjF48GDx5Zdfik8//VT07NlTXH/99VF9rrGyceNG0a1bNzFo0CBxxx13qMfHjBkjpk+f7veerKqqCnmtdHwtKyoqRNeuXcWUKVPEhg0bxA8//CDee+89sWfPHvWccH7GpeO/72PHjvm939auXSsAiI8++kgIwfekHtdee63o37+/+Pjjj8Xu3bvF3LlzRW5urvjpp5+EEIn/nkz6YOmss84SM2bMUL92u92iU6dOYsGCBQHPv/baa8Wll17qd2zEiBHit7/9rRBCCFmWRUlJifjb3/6m3l5ZWSmsVqt49dVXo/AM4i9YsHT55Zfruk5r34vKykphNpvFa6+9pp6zY8cOAUCsX78+7PEnmoKCAvHCCy+E9Xy1vP++++47AUBs2rRJPefdd98VkiSJQ4cORelZxUZNTY3o1auXWLt2rRgzZkyLYMn369ak62t5zz33iHPOOSfo7eH+jOO/byHuuOMO0aNHDyHLshCC70mt6uvrhdFoFP/5z3/8jp9xxhniT3/6U1K8J5N6Gs7hcGDLli0YN26cesxgMGDcuHFYv359wPusX7/e73wAGD9+vHr+vn37UF5e7ndOXl4eRowYEfSaqWrdunXo0KED+vTpg1tvvRUnT54Meq6W78WWLVvgdDr9zunbty+6dOmSEq+t2+3GihUrUFdXh5EjR4b1fLW8/9avX4/8/HwMHz5cPWfcuHEwGAzYsGFDlJ5dbMyYMQOXXnppi3+jildeeQXt27fHgAEDMHv2bNTX1we9Vrq+lm+//TaGDx+Oa665Bh06dMDQoUOxePFi9fZwfsbx37fnNfjnP/+JadOmQZIk9Tjfk61zuVxwu92w2Wx+xzMyMvDZZ58lxXsyqTfSPXHiBNxuN4qLi/2OFxcX4/vvvw94n/Ly8oDnl5eXq7crx4Kdkw4uuugiXHXVVTj99NOxd+9e3Hfffbj44ouxfv16GI3GFudr+V6Ul5fDYrEgPz+/xTnJ/Np+8803GDlyJBobG5GdnY033ngD/fv3x7Zt23Q/Xy3vv/LycnTo0MHvdpPJhMLCwqR+HVesWIGtW7f61TH4uuGGG9C1a1d06tQJ27dvxz333IOdO3di1apVAc9P19fyhx9+wHPPPYdZs2bhvvvuw6ZNm3D77bfDYrFg8uTJYf2MS+d/34o333wTlZWVmDJlinqM70ltcnJyMHLkSPz5z39Gv379UFxcjFdffRXr169Hz549k+I9mdTBEkXPr371K/XzgQMHYtCgQejRowfWrVuHsWPHxnFkiadPnz7Ytm0bqqqq8Prrr2Py5Mn4+OOP4z2spHLw4EHccccdWLt2bYu/PhU333yz+vnAgQPRsWNHjB07Fnv37kWPHj1iNdSEJ8syhg8fjocffhgAMHToUHz77bdYtGgRJk+eHOfRJa8XX3wRF198MTp16qQe43tSu3/84x+YNm0aOnfuDKPRiDPOOAPXX389tmzZEu+haZLU03Dt27eH0WhsUdl+9OhRlJSUBLxPSUlJyPOV/+u5Zjro3r072rdvjz179gS8Xcv3oqSkBA6HA5WVlUHPSUYWiwU9e/bEsGHDsGDBAgwePBhPPfVUWM9Xy/uvpKQEx44d87vd5XKhoqIiaV/HLVu24NixYzjjjDNgMplgMpnw8ccf4+9//ztMJhPcbneL+4wYMQIAgr4n0/W17NixI/r37+93rF+/fjhw4ACA8H7GpfO/bwD48ccf8cEHH+Cmm24KeR7fk8H16NEDH3/8MWpra3Hw4EFs3LgRTqcT3bt3T4r3ZFIHSxaLBcOGDUNZWZl6TJZllJWVYeTIkQHvM3LkSL/zAWDt2rXq+aeffjpKSkr8zqmursaGDRuCXjMd/PTTTzh58iQ6duwY8HYt34thw4bBbDb7nbNz504cOHAgpV5bWZZht9vDer5a3n8jR45EZWWl319kH374IWRZVn9YJ5uxY8fim2++wbZt29SP4cOHY+LEidi2bVvAqd9t27YBQND3ZLq+lqNHj8bOnTv9ju3atQtdu3YFEN7PuHT/97106VJ06NABl156acjz+J5sXVZWFjp27IhTp07hvffew+WXX54c70ld5eAJaMWKFcJqtYply5aJ7777Ttx8880iPz9flJeXCyGEuPHGG8W9996rnv/5558Lk8kkHnvsMbFjxw4xd+7cgK0D8vPzxVtvvSW2b98uLr/88pRrHVBTUyO++uor8dVXXwkAYuHCheKrr74SP/74o6ipqRF33323WL9+vdi3b5/44IMPxBlnnCF69eolGhsb1WtccMEF4umnn1a/bu17IYRnGWeXLl3Ehx9+KDZv3ixGjhwpRo4cGdPnHkn33nuv+Pjjj8W+ffvE9u3bxb333iskSRLvv/++EELb8+3Tp49YtWqV+rWW999FF10khg4dKjZs2CA+++wz0atXr6RfWtyc70qjPXv2iAcffFBs3rxZ7Nu3T7z11luie/fu4uc//7nfffhaelovmEwm8dBDD4ndu3eLV155RWRmZop//vOf6jlaXhf++/Zwu92iS5cu4p577vE7zvekPmvWrBHvvvuu+OGHH8T7778vBg8eLEaMGCEcDocQIvHfk0kfLAkhxNNPPy26dOkiLBaLOOuss8SXX36p3jZmzBgxefJkv/P/9a9/id69ewuLxSJ+9rOfidWrV/vdLsuymDNnjiguLhZWq1WMHTtW7Ny5MxZPJWY++ugjAaDFx+TJk0V9fb248MILRVFRkTCbzaJr165i+vTpfm9AIYTo2rWrmDt3rt+xUN8LIYRoaGgQv/vd70RBQYHIzMwUV155pThy5Ei0n27UTJs2TXTt2lVYLBZRVFQkxo4dqwZKQmh7vgDE0qVL1a+1vP9Onjwprr/+epGdnS1yc3PF1KlTRU1NTVSfa6z5BksHDhwQP//5z0VhYaGwWq2iZ8+e4g9/+EOLnjZ8LT3+/e9/iwEDBgir1Sr69u0rnn/+eb/btbwu/Pft8d577wkALV4fvif1WblypejevbuwWCyipKREzJgxQ1RWVqq3J/p7UhJCCH25KCIiIqL0kdQ1S0RERETRxmCJiIiIKAQGS0REREQhMFgiIiIiCoHBEhEREVEIDJaIiIiIQmCwRERERBQCgyUiIiKiEBgsEaWA/fv3Q5IkdW+qaJIkCW+++WbUrt+tWzc8+eSTUbu+Vueddx7uvPPOmDzWnDlz/Hawj9V4Fi1ahAkTJkT0mkSpiMESUZKZMmUKrrjiCr9jpaWlOHLkCAYMGBCfQSWxdevWQZKkFjuTr1q1Cn/+85+j/vjl5eV46qmn8Kc//Snqj9XctGnTsHXrVnz66acxf2yiZMJgiSgFGI1GlJSUwGQyxXsoKaOwsBA5OTlRf5wXXngBo0aNQteuXaP+WM1ZLBbccMMN+Pvf/x7zxyZKJgyWiBLQ66+/joEDByIjIwPt2rXDuHHjUFdXh3nz5uGll17CW2+9BUmSIEkS1q1b12IaTsmWvPfeexg6dCgyMjJwwQUX4NixY3j33XfRr18/5Obm4oYbbkB9fb36uIGmwIYMGYJ58+YFHGegrMy2bdsgSRL2798PAPjxxx8xYcIEFBQUICsrCz/72c/wzjvvaH4tDhw4gMsvvxzZ2dnIzc3Ftddei6NHj/qd8+9//xtnnnkmbDYb2rdvjyuvvFK97R//+AeGDx+OnJwclJSU4IYbbsCxY8cAeKYvzz//fABAQUEBJEnClClTALSc9jp16hQmTZqEgoICZGZm4uKLL8bu3bvV25ctW4b8/Hy899576NevH7Kzs3HRRRfhyJEjIZ/fihUrWkyF1dXVYdKkScjOzkbHjh3x+OOPt7if3W7H3Xffjc6dOyMrKwsjRozAunXr/M5ZvHgxSktLkZmZiSuvvBILFy5Efn6+3zkTJkzA22+/jYaGhpDjJEpnDJaIEsyRI0dw/fXXY9q0adixYwfWrVuHq666CkII3H333bj22mvVX8JHjhzBqFGjgl5r3rx5eOaZZ/DFF1/g4MGDuPbaa/Hkk09i+fLlWL16Nd5//308/fTTUX0+M2bMgN1uxyeffIJvvvkGjz76KLKzszXdV5ZlXH755aioqMDHH3+MtWvX4ocffsB1112nnrN69WpceeWVuOSSS/DVV1+hrKwMZ511lnq70+nEn//8Z3z99dd48803sX//fjUgKi0txf/93/8BAHbu3IkjR47gqaeeCjiWKVOmYPPmzXj77bexfv16CCFwySWXwOl0qufU19fjsccewz/+8Q988sknOHDgAO6+++6gz6+iogLfffcdhg8f7nf8D3/4Az7++GO89dZbeP/997Fu3Tps3brV75yZM2di/fr1WLFiBbZv345rrrkGF110kRrAff7557jllltwxx13YNu2bfif//kfPPTQQy3GMHz4cLhcLmzYsCHoOInSniCihLJlyxYBQOzfvz/g7ZMnTxaXX36537F9+/YJAOKrr74SQgjx0UcfCQDigw8+UM9ZsGCBACD27t2rHvvtb38rxo8fr37dtWtX8cQTT/hde/DgwWLu3Lnq1wDEG2+84fc4p06dUm//6quvBACxb98+IYQQAwcOFPPmzdP25JuN4f333xdGo1EcOHBAvf2///2vACA2btwohBBi5MiRYuLEiZqvv2nTJgFA1NTUBH0OQggxZswYcccddwghhNi1a5cAID7//HP19hMnToiMjAzxr3/9SwghxNKlSwUAsWfPHvWcZ599VhQXFwcdi/Ja+T6/mpoaYbFY1OsKIcTJkydFRkaGOp4ff/xRGI1GcejQIb/rjR07VsyePVsIIcR1110nLr30Ur/bJ06cKPLy8lqMo6CgQCxbtizoOInSHTNLRAlm8ODBGDt2LAYOHIhrrrkGixcvxqlTp8K61qBBg9TPi4uLkZmZie7du/sdU6akouX222/HX/7yF4wePRpz587F9u3bNd93x44dKC0tRWlpqXqsf//+yM/Px44dOwB4pv3Gjh0b9BpbtmzBhAkT0KVLF+Tk5GDMmDEAPNN7esZhMpkwYsQI9Vi7du3Qp08fdRwAkJmZiR49eqhfd+zYMeTrq0x92Ww29djevXvhcDj8HquwsBB9+vRRv/7mm2/gdrvRu3dvZGdnqx8ff/wx9u7dC8CTKfPNsAFo8bUiIyPDbzqWiPwxWCJKMEajEWvXrsW7776L/v374+mnn0afPn2wb98+3dcym83q55Ik+X2tHJNlWf3aYDBACOF3ju80U3MGg+dHiO99mp9/00034YcffsCNN96Ib775BsOHD4/o1F9GRkbQ2+rq6jB+/Hjk5ubilVdewaZNm/DGG28AABwOR8TGoAj0+jZ/PX21b98eAHQHw7W1tTAajdiyZQu2bdumfuzYsSPoNGIoFRUVKCoq0n0/onTBYIkoAUmShNGjR2P+/Pn46quvYLFY1F/yFosFbrc7Ko9bVFTkV5BcXV0dMkhTfsH63idQr6fS0lLccsstWLVqFX7/+99j8eLFmsbTr18/HDx4EAcPHlSPfffdd6isrET//v0BeLJnZWVlAe///fff4+TJk3jkkUdw7rnnom/fvi0yPRaLBQBCvqb9+vVrUddz8uRJ7Ny5Ux1HOHr06IHc3Fx89913fsfMZrPfY506dQq7du1Svx46dCjcbjeOHTuGnj17+n2UlJQAAPr06YNNmzb5PV7zrwFPJquxsRFDhw4N+3kQpToGS0QJZsOGDXj44YexefNmHDhwAKtWrcLx48fRr18/AJ4Va9u3b8fOnTtx4sSJkJkfvS644AL84x//wKeffopvvvkGkydPhtFoDHp+z549UVpainnz5mH37t1YvXp1i5Vbd955J9577z3s27cPW7duxUcffaQ+l9aMGzcOAwcOxMSJE7F161Zs3LgRkyZNwpgxY9Si6Llz5+LVV1/F3LlzsWPHDrWIHAC6dOkCi8WCp59+Gj/88APefvvtFr2TunbtCkmS8J///AfHjx9HbW1ti3H06tULl19+OaZPn47PPvsMX3/9NX7961+jc+fOuPzyyzU9l0AMBgPGjRuHzz77TD2WnZ2N3/zmN/jDH/6ADz/8EN9++y2mTJmiZvEAoHfv3pg4cSImTZqEVatWYd++fdi4cSMWLFiA1atXAwBuu+02vPPOO1i4cCF2796N//f//h/effddSJLkN4ZPP/0U3bt395s+JCJ/DJaIEkxubi4++eQTXHLJJejduzfuv/9+PP7447j44osBANOnT0efPn0wfPhwFBUV4fPPP4/YY8+ePRtjxozBZZddhksvvRRXXHFFyF+iZrMZr776Kr7//nsMGjQIjz76KP7yl7/4neN2uzFjxgz069cPF110EXr37o3//d//1TQeSZLw1ltvoaCgAD//+c8xbtw4dO/eHStXrlTPOe+88/Daa6/h7bffxpAhQ3DBBRdg48aNADyZr2XLluG1115D//798cgjj+Cxxx7ze4zOnTtj/vz5uPfee1FcXIyZM2cGHMvSpUsxbNgwXHbZZRg5ciSEEHjnnXdaTL3pddNNN2HFihV+06F/+9vfcO6552LChAkYN24czjnnHAwbNqzFeCZNmoTf//736NOnD6644gps2rQJXbp0AQCMHj0aixYtwsKFCzF48GCsWbMGd911l199FAC8+uqrmD59epueA1Gqk0SoCXUiIooqIQRGjBiBu+66C9dff31UH2v69On4/vvv1Y7d//3vf3HBBRdg165dyMvLi+pjEyUzZpaIiOJIkiQ8//zzcLlcEb/2Y489hq+//hp79uzB008/jZdeegmTJ09Wbz9y5AhefvllBkpErWBmiYgoRV177bVYt24dampq0L17d9x222245ZZb4j0soqTDYImIiIgoBE7DEREREYXAYImIiIgoBAZLRERERCEwWCIiIiIKgcESERERUQgMloiIiIhCYLBEREREFAKDJSIiIqIQ/j+gDtPhaGFhOAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax1 = plt.subplot()\n", "res.plot.linep(ax=ax1)\n", "ax1.set_ylabel(\"neural activity\")\n", "ax1.set_xlabel(\"stimulus location (deg)\")\n", "ax1.set_title(\"\")\n", "ax1.legend(title=\"\")\n", "plt.suptitle(\"\")" ] }, { "cell_type": "markdown", "id": "4ac30e48", "metadata": {}, "source": [ "Conversely, we can plot the neural activity in the temporal domain, using the method `plot.linet()`:" ] }, { "cell_type": "code", "execution_count": 8, "id": "5c6e658d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([],\n", " dtype=object)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res.plot.linet()" ] }, { "cell_type": "markdown", "id": "75cd67eb", "metadata": {}, "source": [ "By doing so we can observe how the neural activity changes during the simulation. Notice how the auditory activity remains flat. This occurs due to the plotting method automatically selecting `Position 60`, where the visual stimulus was presented. We can specify the desired spatial point to show with the `position` argument:" ] }, { "cell_type": "code", "execution_count": 9, "id": "1b67574e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax1 = plt.subplot()\n", "res.plot.linet(position=30, ax=ax1)\n", "ax1.set_ylabel(\"neural activity\")\n", "ax1.set_xlabel(\"times (ms)\")\n", "ax1.set_title(\"\")\n", "ax1.legend(title=\"\")" ] }, { "cell_type": "markdown", "id": "d12fd480", "metadata": {}, "source": [ "Now let's see what happens if we reduce the distance of the stimuli:" ] }, { "cell_type": "code", "execution_count": 10, "id": "76651266", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res = model.run(auditory_position=40, visual_position=50)\n", "\n", "ax1 = plt.subplot()\n", "res.plot.linep(ax=ax1)\n", "ax1.set_ylabel(\"neural activity\")\n", "ax1.set_xlabel(\"stimulus location (deg)\")\n", "ax1.set_title(\"\")\n", "ax1.legend(title=\"\")" ] }, { "cell_type": "markdown", "id": "97d8d7ae", "metadata": {}, "source": [ "The plotting method for spatial activity now shows the neural activity of all modalities being closer together at the timepoint with maximal activity (`Time 9999`).\n", "\n", "Now let's explore the temporal activity of the model:" ] }, { "cell_type": "code", "execution_count": 11, "id": "b23b0e63", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax1 = plt.subplot()\n", "res.plot.linet(ax=ax1)\n", "ax1.set_ylabel(\"neural activity\")\n", "ax1.set_xlabel(\"times (ms)\")\n", "ax1.set_title(\"\")\n", "ax1.legend(title=\"\")" ] }, { "cell_type": "markdown", "id": "eaed42b1", "metadata": {}, "source": [ "The plotting method for temporal activity now shows the neural activity of all modalities evolving in time at the spatial point with maximal activity (`Position 49`)." ] }, { "cell_type": "markdown", "id": "905efcf0", "metadata": {}, "source": [ "Refer to the [API documentation](https://scikit-neuromsi.readthedocs.io/en/latest/api/core/ndresult/plot_acc.html) for more details about the visualizations available in the `NDResult` plotting module." ] }, { "cell_type": "markdown", "id": "e929b2ce", "metadata": {}, "source": [ "## Visualization of experiment simulations" ] }, { "cell_type": "markdown", "id": "c8d15bdd", "metadata": {}, "source": [ "We now show how to plot the results of experiment simulations computed with the `ParameterSweep` class. For this, we leverage the plotting module of the `NDResultCollection` object.\n", "\n", ">**Note**: For an introduction of the experiment simulations classes and objects refer to the [Simulate experiments with Scikit-NeuroMSI](https://scikit-neuromsi.readthedocs.io/en/latest/simulate_experiments.html) tutorial." ] }, { "cell_type": "markdown", "id": "d9359e53", "metadata": {}, "source": [ "Here we simulate the responses of the network model developed by Cuppini et al. (2017) on a spatial disparity paradigm:" ] }, { "cell_type": "code", "execution_count": 12, "id": "b77b180f", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "9521f9777d5e4ccf923818f8a8f2ca05", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Sweeping 'visual_position': 0%| | 0/8 [00:00" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from skneuromsi.sweep import ParameterSweep\n", "from skneuromsi.neural import Cuppini2017\n", "import numpy as np\n", "\n", "## Model setup\n", "model_cuppini2017 = Cuppini2017(neurons=90, position_range=(0, 90))\n", "\n", "## Experiment setup\n", "spatial_disparities = np.array([-24, -12, -6, -3, 3, 6, 12, 24])\n", "\n", "sp_cuppini2017 = ParameterSweep(\n", " model=model_cuppini2017,\n", " target=\"visual_position\",\n", " repeat=1,\n", " range=45 + spatial_disparities,\n", ")\n", "\n", "## Experiment run\n", "res_sp_cuppini2017 = sp_cuppini2017.run(\n", " auditory_position=45, auditory_sigma=32, visual_sigma=4\n", ")\n", "\n", "res_sp_cuppini2017" ] }, { "cell_type": "markdown", "id": "201184dd", "metadata": {}, "source": [ "To make sense of our results, let's visualise the output of our experiment simluation using the built-in `plot` methods of the `NDResultCollection` object. These can be called directly from the object:" ] }, { "cell_type": "code", "execution_count": 15, "id": "bfcb85dd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_sp_cuppini2017.plot(label=\"Cuppini 2017\")" ] }, { "cell_type": "markdown", "id": "1a5c3da8", "metadata": {}, "source": [ "By default the `plot` method outputs the `unity_report` plot available. We can specify the `kind` argument to select the specific plot we want to generate. Here we generate a `bias` plot out of the same experiment simulation:" ] }, { "cell_type": "code", "execution_count": 19, "id": "154ea825", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_sp_cuppini2017.plot(\n", " kind=\"bias\", influence_parameter=\"auditory_position\", show_iterations=False\n", ")" ] }, { "cell_type": "markdown", "id": "f924d692", "metadata": {}, "source": [ "The default `bias` plot provides useful information about the parameters that were considered for the cross-modal sensory bias computation." ] }, { "cell_type": "markdown", "id": "cc9a8fd7", "metadata": {}, "source": [ "We can also generate the plots out of the `bias` and `causes` methods of the `NDResultCollection` object. Here a customized plot from the `bias` method:" ] }, { "cell_type": "code", "execution_count": null, "id": "833d9f57", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax1 = plt.subplot()\n", "res_sp_cuppini2017.bias(\n", " influence_parameter=\"auditory_position\", mode=\"auditory\"\n", ").plot(ax=ax1)\n", "ax1.set_ylabel(\"auditory bias (prop)\")\n", "ax1.set_xlabel(\"spatial disparity (deg)\")\n", "ax1.legend(title=\"\", labels=[\"Cuppini2017\"])" ] }, { "cell_type": "code", "execution_count": 37, "id": "eea85541", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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bmq8bJTWJE/cR0W3wdXXAyL5eALjWlJSxuSGLdzSvDMVVDXB1sMPdAzhxHxHdHsPs5lxrSrrY3JDFM/wCShjsD6UdP7JEdHvGR/pDLgPSL1Ui/ypHTUkRvynIorVEUi0zVnMtKSLqDt4uKsT1b4mmePZGmtjckEU7nFuG0uoGqB3tMao/R0kRUfdIjGqZ5Tw5g2tNSRGbG7Johl88CYP9GEkRUbdJGOwHhVyGzMta5JXWiF0OdTN+W5DFatYL2JrZEklx4j4i6k5eLirE9WM0JVVsbshiHcq9itJqXUskNYCRFBF1L8N1fBwSLj1sbshiJbeuJTV+sD/sFfyoElH3ShjsD4VchlNXtMhlNCUp/MYgi9TUrDdGUhwlRUTm4OmsxF39OaGfFLG5IYt0KLcMV2t08HCyNw7ZJCLqboZZzzels7mREjY3ZJEMv2jGRzKSIiLzGRfhDzu5DFmFWpwvqRa7HOom/NYgi9MSSbU0N4a5KIiIzMHDWWkcsLCZZ28kg80NWZzUC1dRXtsIT2cl7uznKXY5RCRxXGtKetjckMVJvi6SsmMkRURmlhDhD3uFDGc0VThXXCV2OdQN+M1BFqWxWY+tp1pHSXHiPiLqAWqna3NpJadrRK6GugObG7IoqeevoqK2EV7OSozsy0iKiHqG4Y8pDgmXBjY3ZFEYSRGRGMa1RlPZRVU4W8Roytrx24MshkkkxYn7iKgHqZ3scc9AHwC8sFgK2NyQxThwrhSVdY3wdlFiZF9O3EdEPcsQTSVzSLjVY3NDFsPwC2VCZAAUcpnI1RCRrYmP8INSIcfZ4mrkMJqyamxuyCLomvTYxkiKiESkdrTHvaEto6a4HIN1Y3NDFuHAuVJo65vg46rCHSEcJUVE4jBO6Jd+BYIgiFwN3So2N2QRNhkjKX9GUkQkmrHhLdHU+ZIaZDOaslpsbkh0DU3N2H6aE/cRkfjcHOxxb2jrqClGU1aLzQ2J7sC5UlTVN8HXVYXhjKSISGSTrltritGUdWJzQ6IzRFITozhKiojENzbcF0o7OS6U1OCMhtGUNWJzQ6JqaGrGjlNFADhKiogsg6uDPcYwmrJqbG5IVPtySlHV0AQ/NxVi+3iIXQ4REYDrRk0xmrJKbG5IVIZpzidGBUDOSIqILMTYcD+o7OTILa3B6UKt2OVQF7G5IdHUNzZjx+mWSGoSIykisiAuKjvcN8gXAKMpa8TmhkTzS04JqhuaEKB2wNAgRlJEZFkYTVkvNjckGkMkNSGSkRQRWZ77w3yhspPj4tVanLrCaMqasLkhUdQ3NmPnaY6SIiLL5ayyw/1hLdEU15qyLmxuSBR7c0pQo2tGoNoBQ4PcxS6HiKhdhj++NjOasipsbkgUyekcJUVElu/+MF842MuRX1aLzMuMpqwFmxvqcfWNzdiZxUiKiCyfk9IOY8P8AACbMq6IXA11Fpsb6nF7sotRq2tGL3dHDGEkRUQWzjhqKp3RlLVgc0M9znBhXmJ0AGQyRlJEZNnuG+QLR3sFLpXXIf1SpdjlUCewuaEeVadrRkpWMQAgMYqRFBFZPkelAmPDWyf0y+CoKWvA5oZ61O7sYtQ1NqO3hyOie6vFLoeIqFMmMZqyKmxuqEcZRkklRjGSIiLrMWaQL5yUClyuqENaQYXY5dBNsLmhHlOra0LKGY6SIiLr42CvwNjwllFTXGvK8rG5oR6z+0wJ6hv1CPJ0RFQvRlJEZF0M1wlyQj/Lx+aGekxy6xwRiVGBjKSIyOqMGeQDZ6UCVyrrcYLRlEVjc0M9oqahCbvOtIySmsRIioiskIO9AvERjKasAZsb6hG7zhSjvlGPYC8nDA50E7scIqJbcn00pdczmrJUbG6oR3CUFBFJwb2hPnBR2aGwsh4nCsrFLoc6wOaGzK66oQm7s1sn7mMkRURWzMFegQdao6lNjKYsFpsbMruUrCI0NOnR19sZEQGMpIjIujGasnxsbsjsDJHUxCh/RlJEZPXuCfWGq8oORdoGHMtnNGWJ2NyQWVXVN2JPTgmAliHgRETWTmV3LZriqCnLxOaGzGrXmWLomvTo5+2M8ABXscshIuoWhusHGU1ZJjY3ZFaGC+4SozlKioik4+6B3nB1sENxVQOOXmQ0ZWnY3JDZVNU3Ym92ayTFUVJEJCEqOwXGRfgDAJLTr4hcDf0Wmxsym51ZRdA169HfxxmD/BhJEZG0GGZb35ypQTOjKYtyW81NQ0PDbRewfPlyhISEwMHBASNHjsThw4dvuH9FRQXmzJmDgIAAqFQqhIaGYvPmzbddB3U/48R90VxLioikZ9QAb7g52KGkqgFH8srELoeu06XmZsuWLZg5cyb69esHe3t7ODk5wc3NDaNHj8aSJUtw5UrXTs2tX78eSUlJWLx4MY4fP46YmBgkJCSguLi43f11Oh0eeOAB5OXl4T//+Q+ys7OxatUq9OrVq0uvS+ZXWdeIX3JKAXAtKSKSJqWdHAmDDdEUR01Zkk41Nxs3bkRoaCieeeYZ2NnZYf78+fjhhx+wbds2fPXVVxg9ejR27tyJfv364cUXX0RJSUmnXvyTTz7B888/j1mzZiEiIgIrV66Ek5MT1qxZ0+7+a9asQVlZGX788UeMGjUKISEhGD16NGJiYjp8jYaGBmi1WpMbmd/O0y2R1EBfF4QykiIiiTJcT7gls5DRlAWx68xOH374IT799FNMmDABcnnbfujRRx8FAFy+fBl/+9vf8O233+LVV1+94XPqdDocO3YMCxYsMG6Ty+WIj49Hampqu4/5+eefERcXhzlz5uCnn36Cj48PnnjiCcyfPx8KhaLdxyxduhTvvPNOZ94mdaPkDMPEfTxrQ0TSNWqAN9SO9iit1uFQ7lXc1d9b7JIInWxuOmo2fqtXr15YtmxZp/YtLS1Fc3Mz/Pz8TLb7+fnhzJkz7T7mwoUL2LVrF6ZPn47Nmzfj3LlzeOmll9DY2IjFixe3+5gFCxYgKSnJ+LNWq0VQUFCnaqRbU1nXiH1nOUqKiKTPXiFHwmA//PvoJSSnF7K5sRC3dUGxIAgQhJ47DafX6+Hr64svv/wSsbGxmDZtGt58802sXLmyw8eoVCq4ubmZ3Mi8dpwuQmOzgFA/RlJEJH2J0S2zr287pUFTs17kagi4xeZm9erViIyMhIODAxwcHBAZGYmvvvqqS8/h7e0NhUKBoqIik+1FRUXw9/dv9zEBAQEIDQ01iaDCw8Oh0Wig0+m6/kbILAxzPnC5BSKyBXf194K7U0s0dTiXo6YsQZebm0WLFmHu3LmYPHkyNmzYgA0bNmDy5Ml49dVXsWjRok4/j1KpRGxsLFJSUozb9Ho9UlJSEBcX1+5jRo0ahXPnzkGvv9YZ5+TkICAgAEqlsqtvhcygsrYR+862jJJKjG6/SSUikhJ7hRzjW0dNbcrgqClL0OXmZsWKFVi1ahWWLl2K3/3ud/jd736HpUuX4ssvv8Tf//73Lj1XUlISVq1ahW+++QZZWVmYPXs2ampqMGvWLADAjBkzTC44nj17NsrKyjB37lzk5OQgOTkZ77//PubMmdPVt0Fmsu20Bk16AWH+rhjgy0iKiGyD4frCrZmMpixBpy4ovl5jYyOGDx/eZntsbCyampq69FzTpk1DSUkJFi1aBI1GgyFDhmDr1q3Gi4zz8/NNRmcFBQVh27ZtePXVVxEdHY1evXph7ty5mD9/flffBpmJceI+jpIiIhsS188LHk72KKvR4dcLZbh7IC8sFpNM6OIVwa+88grs7e3xySefmGx//fXXUVdXh+XLl3drgd1Nq9VCrVajsrKSFxd3s/IaHe5YshNNegEpr41Gfx8XsUsiIuoxC37IwL8O5+PxEUFYOjVa7HIkpyvf310+cwO0XFC8fft23HnnnQCAQ4cOIT8/HzNmzDAZdv3bBoikbXtrJBUe4MbGhohszqToAPzrcD62Zmrw7pRI2Cu4fKNYutzcZGZmYtiwYQCA8+fPA2gZ+eTt7Y3MzEzjflxLyPZsMkZSvJCYiGzPyL6e8HRWoqxGh9TzV3FvqI/YJdmsLjc3u3fvNkcdZOXKa3Q4eP4qAM5KTES2yU4hx/hIf3x/KB+bMwrZ3Ijots6ZXbp0CZcuXequWsiKbTulQbNeQESAG/oxkiIiGzWp9Y+7rac0aOSoKdF0ubnR6/V49913oVarERwcjODgYLi7u+O9994zmX+GbIthLSkut0BEtmxEX094uyhRUdtoPJtNPa/Lzc2bb76JL774AsuWLcOJEydw4sQJvP/++/jb3/6Gt956yxw1koW7Wt1g/J+YQ8CJyJYZoing2mzt1PO63Nx88803+OqrrzB79mxER0cjOjoaL730ElatWoW1a9eaoUSydNtOFaFZLyCylxtCvJ3FLoeISFSGpWe2nSqCromJhhi63NyUlZUhLCyszfawsDCUlXFNDVuUnMG1pIiIDFqiKRUq6xpx4Hyp2OXYpC43NzExMfjiiy/abP/iiy8QExPTLUWR9SitbkAqIykiIiOFXIaJUYZoimtNiaHLQ8E//PBDJCYmYufOncYFLlNTU1FQUIDNmzd3e4Fk2bZmaqAXgOjeavTxchK7HCIii5AYFYB/pl7EtlMavP9QFJR2nNCvJ3X5aI8ePRo5OTl46KGHUFFRgYqKCkydOhXZ2dm45557zFEjWTDDXyWc24aI6JrhIZ7wcVWhqr4J+8+ViF2OzenSmZvGxkaMHz8eK1euxJIlS8xVE1mJkqoGHMplJEVE9FsKuQwTI/3xTepFJKdrcH+Yn9gl2ZQunbmxt7dHenq6uWohK7P1VEskFdNbjSBPRlJERNdLjG4ZZLH9tAYNTc0iV2NbuhxLPfnkk1i9erU5aiErY5jDgRP3ERG1NTzYA76GaOosR031pC5fUNzU1IQ1a9Zg586diI2NhbOz6bwmXAncNhRX1eNQbsvQf15vQ0TUllwuw8SoAKw9mIfk9EKMDWc01VNua1XwnJwck/u4Erjt2JqpgSAAQ4Lc0duDkRQRUXsmRbc0NztOF6G+sRkO9gqxS7IJXBWcbsmm1lFSkxhJERF1aFgfD/i7OUCjrce+s6V4IIJnb3rCbQ28LygoQEFBQXfVQlaiSFuPI3ktkdQERlJERB0yRFMA15rqSV1ubpqamvDWW29BrVYjJCQEISEhUKvVWLhwIRobG81RI1mYLRmFEARgWB939HJ3FLscIiKLZhh0YYimyPy6HEu98sor+OGHH/Dhhx+azFD89ttv4+rVq1ixYkW3F0mWJTmDE/cREXXW0CB3BKgdUFhZj705JUgY7C92SZLX5ebm+++/x7p16zBhwgTjtujoaAQFBeHxxx9ncyNxmsp6HL1YDoDNDRFRZxiiqdX7c7E5o5DNTQ/ociylUqkQEhLSZnvfvn2hVCq7oyayYFsyWyKp2GAPBDKSIiLqFEM0tZPRVI/ocnPz8ssv47333kNDQ4NxW0NDA5YsWYKXX365W4sjy2NYS4rLLRARdd7QoJZrFGt0zdiTzbWmzK3LsdSJEyeQkpKC3r17IyYmBgBw8uRJ6HQ6jB07FlOnTjXu+8MPP3RfpSS6wso6RlJERLdAJpNhYpQ/Vu3LRXJGIcZHMpoypy43N+7u7nj44YdNtgUFBXVbQWS5NmdoAAB3hHjAX+0gcjVERNYlMToQq/blIiWrCHW6ZjgqOaGfuXS5ufn666/NUQdZAeNaUjxrQ0TUZTG91ejl7ojLFXXYk13MecLM6LYm8SPbcbmiDsfzKyCTceI+IqJbIZPJjLO6b2qdUoPMo1PNzfjx4/Hrr7/edL+qqip88MEHWL58+W0XRpZlS+v/iHcEe8LPjZEUEdGtMFyvuCurGLW6JpGrka5OxVKPPPIIHn74YajVakyePBnDhw9HYGAgHBwcUF5ejtOnT2P//v3YvHkzEhMT8dFHH5m7buphhrWkErmWFBHRLYvurUZvD0dcKq/D7jMl/J1qJp1qbp599lk8+eST2LBhA9avX48vv/wSlZWVAFpOs0VERCAhIQFHjhxBeHi4WQumnnepvBZpBa2RFK/wJyK6ZTKZDInRAfjH3gvYnFHI5sZMOn1BsUqlwpNPPoknn3wSAFBZWYm6ujp4eXnB3t7ebAWS+La0jpIaEeIJX0ZSRES3ZVJUIP6x9wJSzhShVtcEJ2WXx/bQTdzyBcVqtRr+/v5sbGyA4cK3SfwLg4jotkX2ckMfTyfUN+qx60yx2OVIEkdL0Q0VlNXiZEEF5DIggZEUEdFtM0RTwLVZ36l7sbmhG9rcetZmZF8v+LoykiIi6g6G+cJ2nSlGTQNHTXU3Njd0Q8kZHCVFRNTdBge6IcTLCQ1NeqQwmup2bG6oQ/lXa5F+qRJyGbgOChFRNzKNpq6IXI30sLmhDhnO2tzZzwveLiqRqyEikhbDhH67s0tQzWiqW3Vbc3Py5EkoFFwETEqSM1rXkmIkRUTU7SIC3NDX2xm6Jj1SsorELkdSuvXMjSAI3fl0JKKLV2uQeVnbEkkNZiRFRNTdZDKZ8cJijprqXp2eOWjq1Kk3vL+yshIymey2CyLLYIik7urvDS9GUkREZpEYHYAvdp/DnpwSVNU3wtWBc8d1h06fufnvf/+L+vp6qNXqdm8uLi7mrJN6WDLXkiIiMrswf1f08zFEUxw11V06feYmPDwcDz/8MJ599tl2709LS8OmTZu6rTAST25pDU5d0UIhlyGBkRQRkdnIZDJMigrA57vOYVN6IR4c2kvskiSh02duYmNjcfz48Q7vV6lU6NOnT7cUReLabIykvODprBS5GiIiaUuMDgQA/JJTAm19o8jVSEOnz9ysXLkSzc3NHd4fHh6O3NzcbimKxLUpnWtJERH1lFA/FwzwdcG54mrsPF2EqcN6i12S1ev0mRuVSgUnJydz1kIW4HxJNbIKtbCTyzAugpEUEZG5cdRU9+MkfmRic+v/WHcN8IYHIykioh5hGLzxy9kSVNYxmrpdt9TcREVFoaCgoM2/yfoZhoBPimIkRUTUU0L9XDHQ1wWNzQJ2nOaEfrfrlpqbvLw8NDY2tvk3WbdzxdU4o6lqiaQG+4ldDhGRTTGcvTEM6qBbx1iKjAz/Q9090BvuToykiIh6kuG6m31nS1BZy5MGt4PNDRkZJ+5jJEVE1OMG+rlikJ8rGpsFbD+tEbscq8bmhgAAZ4uqkF1UBXsFR0kREYnFEE0lM5q6LWxuCMC1/5HuGegDtRPXNiEiEsPE1jPn+8+WoqJWJ3I11ovNDQFgJEVEZAkG+LogzN8VTXoB209x1NStYnNDyCmqwtniaigVcsRHcJQUEZGYDLPDb2I0dctuqbm555574Ojo2ObfZJ0Myy3cM9AbakdGUkREYjJEUwfOlaK8htHUrbil5mbz5s0ICAho82+yPoIgIDn9CoBrF7IREZF4+vm4IDzADc16AdtOcdTUrbCIWGr58uUICQmBg4MDRo4cicOHD3fqcevWrYNMJsODDz5o3gIlLKeoGudLahhJERFZkEkcNXVbOt3c7Nq1CxEREdBqtW3uq6ysxODBg7Fv374uF7B+/XokJSVh8eLFOH78OGJiYpCQkIDi4uIbPi4vLw+vv/467rnnni6/Jl1jOGtzb6gP3BwYSRERWQJDNHXw/FWUMZrqsk43N5999hmef/55uLm5tblPrVbjf/7nf/DJJ590uYBPPvkEzz//PGbNmoWIiAisXLkSTk5OWLNmTYePaW5uxvTp0/HOO++gX79+XX5NaiEIgvGCtUmMpIiILEZfb2cMDmQ0das63dycPHkS48eP7/D+cePG4dixY116cZ1Oh2PHjiE+Pv5aQXI54uPjkZqa2uHj3n33Xfj6+uLZZ5+96Ws0NDRAq9Wa3KjFGU0VLpTUQGknx9hwX7HLISKi6xgn9EtnNNVVnW5uioqKYG/fcWxhZ2eHkpKSLr14aWkpmpub4edneq2Hn58fNJr2O9X9+/dj9erVWLVqVadeY+nSpVCr1cZbUFBQl2qUMsP/MGNCfeDKSIqIyKIkGqOpUlytbhC5GuvS6eamV69eyMzM7PD+9PR0s4+aqqqqwlNPPYVVq1bB29u7U49ZsGABKisrjbeCggKz1mgtBEEwXqjGUVJERJYn2MsZUb3U0AvAVkZTXWLX2R0nTpyIt956C+PHj4eDg4PJfXV1dVi8eDEmTZrUpRf39vaGQqFAUZHpLIxFRUXw92+7vtH58+eRl5eHyZMnG7fp9fqWN2Jnh+zsbPTv39/kMSqVCiqVqkt12YLThVrkltZAZSfH2HCOkiIiskSJ0QHIuFyJ5PRCTB8ZLHY5VqPTZ24WLlyIsrIyhIaG4sMPP8RPP/2En376CR988AEGDRqEsrIyvPnmm116caVSidjYWKSkpBi36fV6pKSkIC4urs3+YWFhyMjIQFpamvH2u9/9Dvfddx/S0tIYOXWBMZIa5AMXVad7XCIi6kGGaOrXC1dRUsVoqrM6/a3m5+eHgwcPYvbs2ViwYAEEQQAAyGQyJCQkYPny5W2unemMpKQkzJw5E8OHD8eIESPw2WefoaamBrNmzQIAzJgxA7169cLSpUvh4OCAyMhIk8e7u7sDQJvt1DHTSCpQ5GqIiKgjQZ5OiO6tRvqlSmw9pcFTd/LsTWd06U/24OBgbN68GeXl5Th37hwEQcDAgQPh4eFxywVMmzYNJSUlWLRoETQaDYYMGYKtW7caG6X8/HzI5RYx16BknLqixcWrtS2RVBhHSRERWbLEqACkX6rE5vRCNjedJBMMp2BshFarhVqtRmVlZbtz9tiCD7aewYo95zEh0h8rnowVuxwiIrqBgrJa3PPhbshlwK9/HgtfV4ebP0iCuvL9zVMiNqZlLSmOkiIishZBnk6ICXKHXgC2ZXLUVGewubExmZe1yC+rhYO9HPczkiIisgqTWi8s3sQJ/TqFzY2N2ZTRspbU2DA/OCk5SoqIyBpMiGqZHuVwXhmKtfUiV2P52NzYEEZSRETWqbeHE4b2cYcgAFsYTd0Umxsbkn6pEpfK6+Bor8B9gxhJERFZE8OcN1xr6ubY3NgQw9w294f7wlGpELkaIiLqiomtzc2Ri2UoYjR1Q2xubMT1kZThwjQiIrIege6OGGaIpjJ49uZG2NzYiJOXKnG5og5OSgXGMJIiIrJKhlnlk9nc3BCbGxuRnN46Sircj5EUEZGVmtg6aupIXjk0lYymOsLmxgaYjJJiJEVEZLUC1I4YHtyy5NFmnr3pEJsbG3CioAJXKuvhrFRgzCAfscshIqLbYJjKg9FUx9jc2ADDWZv4CD842DOSIiKyZhMiAyCTAcculuNKRZ3Y5VgkNjcSp9cLxlOXjKSIiKyfv9oBdwR7AmA01RE2NxJ3oqAchZX1cFHZ4d5QRlJERFLAaOrG2NxInGGRtfhwX0ZSREQSMSHSHzIZcCK/ApcZTbXB5kbC9HoBWzJa1iAxzI1ARETWz9fNAXeEtERTnNCvLTY3EnY8vxwabT1cVXa4Z6C32OUQEVE3mtQaTW3iWlNtsLmRMMMH/gGOkiIikpzxrdFUWkEFCspqxS7HorC5kSiTUVLRHCVFRCQ1vq4OGNm3NZrK5Nmb67G5kaijF8tRXNUAVwc73M1IiohIkoxrTTGaMsHmRqIMa0mNi/CHyo6RFBGRFI0f7A+5rGVxZEZT17C5kaBmvYDNmS2jpCYxkiIikiwfVxXu7OcFgHPeXI/NjQQdyStDSVUD3BzsMGoAIykiIikzTujHaMqIzY0EGT7g4wb7Q2nH/8RERFKW0BpNZVyuRP5VRlMAmxvJadYL2JJpmLiPkRQRkdR5u6gQ15/R1PXY3EjM4dwylFY3QO1oj1H9GUkREdmCxKjWUVMZV0SuxDKwuZEYwwc7YbAfIykiIhuRMNgPCrkMmZe1yCutEbsc0fHbT0KamvXYmsm1pIiIbI2Xiwp3MZoyYnMjIS2RlA7uTvbGDzkREdmGxCiOmjJgcyMhm1q79fGD/WGv4H9aIiJbkjDYHwq5DKcLtbhQUi12OaLiN6BEmEZSHCVFRGRrPJyVxrnNNtt4NMXmRiJ+vVCGshodPJzsEdePkRQRkS2a1BpNbbLxaIrNjUQYRkmNj/SHHSMpIiKbNG6wH+zkMpzRVOG8DUdT/BaUAJNIKoqjpIiIbJW703XRlA2fvWFzIwGpF66ivLYRns5K3NnPU+xyiIhIRMa1pmz4uhs2NxJgGPbHSIqIiBIi/GGvaImmzhVXiV2OKPhNaOUam/XYeqolkjJcSEZERLZL7WSPu1ujqeR0jcjViIPNjZU7eP4qKmob4e2ixIi+jKSIiOjaLPW2utYUmxsrl5zOUVJERGTqgQg/2CtkyCmqRk6R7UVT/Da0YromPbadKgLAUVJERHSN2tEe9w70AWCbyzGwubFiB86XorKuEd4uKkZSRERkYmLUtVFTgiCIXE3PYnNjxQzd+ITIlvVEiIiIDOIj/KBUyHGuuBo5RbY1oR+bGyula9Jj+ymuJUVERO1TO9rj3tDWUVM2NucNmxsrdeBcKbT1TfBxVeGOEEZSRETUlnFCv/QrNhVNsbmxUoZF0SYykiIiog7Eh/tBaSfH+ZIaZNvQqCk2N1aooakZ208bIimOkiIiova5OthjdKjtjZpic2OF9p8tRVV9E3xdVRge7CF2OUREZMEmGaMp2xk1xebGChm674lRAZAzkiIiohsY2xpNXSitQVahbURTbG6sTH1jM3acbpm4bxJHSRER0U24qOxw36DWaMpGlmNgc2Nl9p0tRVVDE/zdHDCsDyMpIiK6OeOEfjYSTbG5sTKGtaQmRPkzkiIiok4ZG+4HlZ0ceVdrceqKVuxyzI7NjRWpb2zGzqxiAIykiIio81qiKV8AwGYbmNCPzY0V+SWnBNUNTQhQO2BoECMpIiLqPOOEfjaw1hSbGytimD6bo6SIiKir7g/zhYO9HBdtIJpic2Ml6hubsbN1lBTXkiIioq5yVtnh/rCWaGqTxCf0Y3NjJfZkl6BG14xe7o4YGuQudjlERGSFEqNaZrVPzpD2WlMW0dwsX74cISEhcHBwwMiRI3H48OEO9121ahXuueceeHh4wMPDA/Hx8TfcXyquRVL+kMkYSRERUdfdF+YDR3sFCsrqkHG5UuxyzEb05mb9+vVISkrC4sWLcfz4ccTExCAhIQHFxcXt7r9nzx48/vjj2L17N1JTUxEUFIRx48bh8uXLPVx5z6nTNSMlyxBJcS0pIiK6NU5KO9wf3hJNSXmtKdGbm08++QTPP/88Zs2ahYiICKxcuRJOTk5Ys2ZNu/t/9913eOmllzBkyBCEhYXhq6++gl6vR0pKSg9X3nP2ZBejtjWSiumtFrscIiKyYomtE/ptkvCEfqI2NzqdDseOHUN8fLxxm1wuR3x8PFJTUzv1HLW1tWhsbISnp2e79zc0NECr1ZrcrM2m1kgqMTqAkRQREd2W+wb5wtFegcsVdTh5SZrRlKjNTWlpKZqbm+Hn52ey3c/PDxqNplPPMX/+fAQGBpo0SNdbunQp1Gq18RYUFHTbdfekOl0zdrVO3GfotomIiG6Vo1KBseHSntBP9Fjqdixbtgzr1q3Dxo0b4eDg0O4+CxYsQGVlpfFWUFDQw1Xent3ZxahrbEZvD0dEM5IiIqJuYJjlXqprTdmJ+eLe3t5QKBQoKioy2V5UVAR/f/8bPvYvf/kLli1bhp07dyI6OrrD/VQqFVQqVbfUKwbDBV+MpIiIqLuMGeQLJ2VLNJVWUIGhEluIWdQzN0qlErGxsSYXAxsuDo6Li+vwcR9++CHee+89bN26FcOHD++JUkVRq2tCypmWxm9SFEdJERFR93CwVyA+vOWSECmOmhI9lkpKSsKqVavwzTffICsrC7Nnz0ZNTQ1mzZoFAJgxYwYWLFhg3P+DDz7AW2+9hTVr1iAkJAQajQYajQbV1dVivQWz2XWmGPWNevTxdEJkLzexyyEiIgkxzHa/OaMQer20oilRYykAmDZtGkpKSrBo0SJoNBoMGTIEW7duNV5knJ+fD7n8Wg+2YsUK6HQ6/P73vzd5nsWLF+Ptt9/uydLNjpEUERGZy+hQHzgrFbhSWY8TBRWIDZZONCV6cwMAL7/8Ml5++eV279uzZ4/Jz3l5eeYvyALUNDRh1xmOkiIiIvNwsFfggQg//Jh2BcnphZJqbkSPpah9KWeK0dCkR7CXEwYHMpIiIqLuNzFKmtEUmxsLtdkQSUUxkiIiIvO4N9QHLio7aLT1OFFQLnY53YbNjQWqbmjC7uzWSCqakRQREZmHIZoCWpZjkAo2NxYoJasIDU169PV2RkQAIykiIjKfRAlGU2xuLFAyIykiIuoh94R6w1VlhyJtA47lSyOaYnNjYarqG7EnpwQAIykiIjI/lZ0CDwyW1oR+bG4sTEpWMXRNevTzcUaYv6vY5RARkQ2YdN2Efs0SiKbY3FgYwwVdkxhJERFRD7l7gA9cHexQXNWAo3llYpdz29jcWBBtfSN+MUZSXEuKiIh6htJOjoTBLQtWJ2dYfzTF5saC7DxdBF2zHv19nBHq5yJ2OUREZEOujZrSWH00xebGgmzOMKwlFchIioiIetSoAd5wc7BDaXUDjlh5NMXmxkJU1jXil5xSANcu7CIiIuopJtGUlY+aYnNjIQyR1EBfF4T6cZQUERH1PMMUJFsyrXvUFJsbC5FsjKR41oaIiMQxaoA31I72KK3W4VDuVbHLuWVsbixAZW0j9p1tHSUVxeaGiIjEYa+QY7wEoik2NxZg+2kNGpsFDPJzxUBGUkREJCJDgrA1U4OmZr3I1dwaNjcWgJEUERFZirj+XvBwssfVGh0O5VrnqCk2NyKrqNVh/9mWUVITGUkREZHI7BVyjI9siaY2WWk0xeZGZNtPFaFJLyDM3xUDfDlxHxERic/wx/a2U9YZTbG5EZkxkuJZGyIishBx/VqiqbIaHX69YH3RFJsbEZXX6HDgXGskxettiIjIQtgp5Bgf2fK9lJxxReRquo7NjYi2n9agSS8gPMAN/X0YSRERkeWYdN2oqUYri6bY3IjIcKEWl1sgIiJLM7KvJ7yclSivbUTqeeua0I/NjUjKanQ42Pph4SgpIiKyNHbXjZqytgn92NyIZNupliXlBwe6oa+3s9jlEBERtWGc0O+UdUVTbG5EYuiCOXEfERFZqpF9veDtokRlXaNxAIw1YHMjgqvVDTh4vuVDwiHgRERkqRRyGSYYRk1ZUTTF5kYEW09poBeAyF5uCPZiJEVERJbr+gn9dE3WEU2xuRHBZuPEfYEiV0JERHRjI/p6wttFBW19Ew6ct45ois1NDyutbjAOqWMkRURElk4hl2FilHWNmmJz08O2ZrZEUtG91ejj5SR2OURERDeVaGXRFJubHmYcJcWzNkREZCWGh3jC11WFqvom7D9XInY5N8XmpgcVV9XjUC4n7iMiIuvSEk21fG9tsoJois1ND9rWGknFBLkjyJORFBERWQ/DvGw7ThWhoalZ5GpujM1NDzKuJcWzNkREZGVi+3jAz02FqoYm7Mux7FFTbG56SLG2HofzygAAE1qvOiciIrIW8uuiqeQMy46m2Nz0kC2ZGggCMCTIHb09GEkREZH1MQyG2XG6CPWNlhtNsbnpIYYudxLXkiIiIis1rI8H/N0cUN3QhH1nLTeaYnPTA4q09ThijKTY3BARkXUyiabSr4hcTcfY3PSALRmFEARgWB939HJ3FLscIiKiW2YcNWXB0RSbmx5giKQSo7mWFBERWbehQe4IVDugRteMvTmWOaEfmxsz01TW40heOQAY1+YgIiKyVqbRlGWOmmJzY2aGFcCHB3sgQM1IioiIrJ8hmtqZZZnRFJsbM7sWSfFCYiIikoYhQS3XkNbqmrEnu1jsctqwE7sAKbtSUYdjF8shkwETItnckHkIgoCmpiY0N1veX08kLoVCATs7O8hkMrFLIYmRyWRIjA7Al79cwKb0Qoy3sO84NjdmdH0k5a92ELkakiKdTofCwkLU1taKXQpZKCcnJwQEBECpVIpdCknMxKiW5iYlqxh1umY4KhVil2TE5saMDM1NIue2ITPQ6/XIzc2FQqFAYGAglEol/0InI0EQoNPpUFJSgtzcXAwcOBByOa9EoO4T01uNXu6OuFxRhz3ZxRY1jxubGzO5XFGH4/kVLZGUBf0HJ+nQ6XTQ6/UICgqCkxOX9KC2HB0dYW9vj4sXL0Kn08HBgWeQqfvIZDJMig7AP365gE0ZhRb1Xcc23ky2tJ61uSPEE35u/IVC5sO/xulG+PkgczIMltmVVYxaXZPI1VzDT72ZbErnWlJERCRtUb3UCPJ0RF1jM3afsZwJ/djcmEFBWS3SCloiqfGRnLiPiIikSSaTITGqZfb95AzLWWuKzY0ZbMlsOWszsq8nfF0ZSRFZurfffhtDhgzp0mNCQkLw2WefmaUeImtiSCh2nSlGTYNlRFNsbszAMB0115IiujGNRoNXXnkF/fr1g0qlQlBQECZPnoyUlJQereP111/v8mseOXIEL7zwAgCgrKwMr7zyCgYNGgRHR0f06dMHf/jDH1BZWWnymPz8fCQmJsLJyQm+vr744x//iKama18GhYWFeOKJJxAaGgq5XI558+a1ed0xY8ZAJpO1uSUmJnb9jRN1g8GBbgj2ckJ9ox67zljGhH4cLdXNCspqcfJSJeQyYPxgRlJEHcnLy8OoUaPg7u6Ojz76CFFRUWhsbMS2bdswZ84cnDlzpsdqcXFxgYuLS5ce4+PjY/z3lStXcOXKFfzlL39BREQELl68iBdffBFXrlzBf/7zHwBAc3MzEhMT4e/vj4MHD6KwsBAzZsyAvb093n//fQBAQ0MDfHx8sHDhQnz66aftvu4PP/wAnU5n/Pnq1auIiYnBI4880tW3TdQtZLKWtaZW7DmP5PRCTI6xgD/sBRtTWVkpABAqKyvN8vwr9pwTgudvEh77R6pZnp/IoK6uTjh9+rRQV1dn3KbX64WahkZRbnq9vkv1T5gwQejVq5dQXV3d5r7y8nIhNzdXACCcOHHCZDsAYffu3YIgCMLu3bsFAMKmTZuEqKgoQaVSCSNHjhQyMjKMj/n6668FtVotbNy4URgwYICgUqmEcePGCfn5+cZ9Fi9eLMTExBh/njlzpjBlyhTho48+Evz9/QVPT0/hpZdeEnQ6nXGf4OBg4dNPP+3w/f373/8WlEql0NjYKAiCIGzevFmQy+WCRqMx7rNixQrBzc1NaGhoaPP40aNHC3Pnzu3w+Q0+/fRTwdXVtd3jKAjtf06IulvGpQoheP4mIfTNzUJ1faNZXqMr3988c9PNNnMtKRJRXWMzIhZtE+W1T7+bACdl536llJWVYevWrViyZAmcnZ3b3O/u7o6KiopOv/Yf//hH/PWvf4W/vz/+/Oc/Y/LkycjJyYG9vT0AoLa2FkuWLME///lPKJVKvPTSS3jsscdw4MCBDp9z9+7dCAgIwO7du3Hu3DlMmzYNQ4YMwfPPP9+pmiorK+Hm5gY7u5ZjkpqaiqioKPj5+Rn3SUhIwOzZs3Hq1CkMHTq00+/3eqtXr8Zjjz3W7nEk6imDA90Q4uWEvKu1SDlTjN+JfPbGIq65Wb58OUJCQuDg4ICRI0fi8OHDN9x/w4YNCAsLg4ODA6KiorB58+YeqvTG8q/WIt0QSXGUFFGHzp07B0EQEBYW1i3Pt3jxYjzwwAOIiorCN998g6KiImzcuNF4f2NjI7744gvExcUhNjYW33zzDQ4ePHjD3zUeHh744osvEBYWhkmTJiExMbHT1+WUlpbivffeM16TA7RcX3R9YwPA+LNGo+nK2zU6fPgwMjMz8dxzz93S44m6i2GtKQBIThd/1JToZ27Wr1+PpKQkrFy5EiNHjsRnn32GhIQEZGdnw9fXt83+Bw8exOOPP46lS5di0qRJ+P777/Hggw/i+PHjiIyMFOEdXGNYATyuvxe8XVSi1kK2ydFegdPvJoj22p0lCEK3vnZcXJzx356enhg0aBCysrKM2+zs7HDHHXcYfw4LC4O7uzuysrIwYsSIdp9z8ODBUCiuvaeAgABkZGTctBatVovExERERETg7bffvoV303mrV69GVFRUh++BqCclRgVi+e7z2J1dguqGJrioxGsxRD9z88knn+D555/HrFmzEBERgZUrV8LJyQlr1qxpd/+//vWvGD9+PP74xz8iPDwc7733HoYNG4YvvviihytvyzDG3zDmn6inyWQyOCntRLl1ZV2rgQMHQiaT3fCiYcPMutc3Qo2Njbd+cLrIEGkZyGQy6PX6Gz6mqqoK48ePh6urKzZu3GjyHP7+/igqKjLZ3/Czv3/Xz/TW1NRg3bp1ePbZZ7v8WCJzCA9wRT9vZ+ia9EjJKrr5A8xI1OZGp9Ph2LFjiI+PN26Ty+WIj49Hampqu49JTU012R9oya072r+hoQFardbkZg55pTXIvKyFQi5DwmC/mz+AyIZ5enoiISEBy5cvR01NTZv7KyoqjKORCgsLjdvT0tLafb5ff/3V+O/y8nLk5OQgPDzcuK2pqQlHjx41/pydnY2KigqTfW6XVqvFuHHjoFQq8fPPP7dZxykuLg4ZGRkoLr42VHbHjh1wc3NDREREl19vw4YNaGhowJNPPnnbtRN1h+ujKcMs/WIRtbkpLS1Fc3Nzuzl0Rxl0R7l1R/svXboUarXaeAsKCuqe4n8jv6wWPq4q3NXfC16MpIhuavny5WhubsaIESPwf//3fzh79iyysrLw+eefIy4uDo6OjrjzzjuxbNkyZGVlYe/evVi4cGG7z/Xuu+8iJSUFmZmZePrpp+Ht7Y0HH3zQeL+9vT1eeeUVHDp0CMeOHcPTTz+NO++8s9viHENjU1NTg9WrV0Or1UKj0UCj0aC5uRkAMG7cOEREROCpp57CyZMnsW3bNixcuBBz5syBSnXtd0ZaWhrS0tJQXV2NkpISpKWl4fTp021ec/Xq1XjwwQfh5eXVLe+BqDsYmptaXRP0+u6Nn7tC9GtuzG3BggVISkoy/qzVas3S4Nwb6oNfF4xFWY3u5jsTEfr164fjx49jyZIleO2111BYWAgfHx/ExsZixYoVAIA1a9bg2WefRWxsLAYNGoQPP/wQ48aNa/Ncy5Ytw9y5c3H27FkMGTIE//3vf6FUKo33Ozk5Yf78+XjiiSdw+fJl3HPPPVi9enW3vZfjx4/j0KFDAIABAwaY3Jebm4uQkBAoFAps2rQJs2fPRlxcHJydnTFz5ky8++67JvtfP2rq2LFj+P777xEcHIy8vDzj9uzsbOzfvx/bt2/vtvdA1B0G+bni8J/HwlfkBaNlQndf2dcFOp0OTk5O+M9//mPyV9bMmTNRUVGBn376qc1j+vTpg6SkJJOZOxcvXowff/wRJ0+evOlrarVaqNVq4zBNImtVX1+P3Nxc9O3bt00EYiv27NmD++67D+Xl5XB3d293n7Vr12LevHldGlouJfyckFR05ftb1FhKqVQiNjbWZHilXq9HSkqKyeiH68XFxbUZjrljx44O9yciIiLbInoslZSUhJkzZ2L48OEYMWIEPvvsM9TU1GDWrFkAgBkzZqBXr15YunQpAGDu3LkYPXo0Pv74YyQmJmLdunU4evQovvzySzHfBhEREVkI0ZubadOmoaSkBIsWLYJGo8GQIUOwdetW40XD+fn5xiGhAHDXXXfh+++/x8KFC/HnP/8ZAwcOxI8//ij6HDdE1PPGjBlz0zlznn76aTz99NM9UxARWQRRr7kRA6+5IangtRTUGfyckFRYzTU3RHT7bOzvE+oifj7IFrG5IbJS1y8KSdQRw+fjtzMuE0mZ6NfcENGtUSgUcHd3N8546+Tk1KUlEEjaBEFAbW0tiouL4e7ubrJOFpHUsbkhsmKGNYmun9Kf6Hru7u63tHYVkTVjc0NkxWQyGQICAuDr69uji0qSdbC3t+cZG7JJbG6IJEChUPBLjIioFS8oJiIiIklhc0NERESSwuaGiIiIJMXmrrkxTGil1WpFroSIiIg6y/C93ZmJKW2uuamqqgIABAUFiVwJERERdVVVVRXUavUN97G5taX0ej2uXLkCV1fXTk94ptVqERQUhIKCAq5H1YN43MXB4y4OHndx8LiL41aOuyAIqKqqQmBgoMmC2u2xuTM3crkcvXv3vqXHurm58cMvAh53cfC4i4PHXRw87uLo6nG/2RkbA15QTERERJLC5oaIiIgkhc1NJ6hUKixevBgqlUrsUmwKj7s4eNzFweMuDh53cZj7uNvcBcVEREQkbTxzQ0RERJLC5oaIiIgkhc0NERERSQqbGyIiIpIUNjfXWbp0Ke644w64urrC19cXDz74ILKzs032qa+vx5w5c+Dl5QUXFxc8/PDDKCoqEqliaVixYgWio6ONkznFxcVhy5Ytxvt5zM1v2bJlkMlkmDdvnnEbj7t5vP3225DJZCa3sLAw4/087uZx+fJlPPnkk/Dy8oKjoyOioqJw9OhR4/2CIGDRokUICAiAo6Mj4uPjcfbsWRErloaQkJA2n3eZTIY5c+YAMN/nnc3Ndfbu3Ys5c+bg119/xY4dO9DY2Ihx48ahpqbGuM+rr76K//73v9iwYQP27t2LK1euYOrUqSJWbf169+6NZcuW4dixYzh69Cjuv/9+TJkyBadOnQLAY25uR44cwT/+8Q9ER0ebbOdxN5/BgwejsLDQeNu/f7/xPh737ldeXo5Ro0bB3t4eW7ZswenTp/Hxxx/Dw8PDuM+HH36Izz//HCtXrsShQ4fg7OyMhIQE1NfXi1i59Tty5IjJZ33Hjh0AgEceeQSAGT/vAnWouLhYACDs3btXEARBqKioEOzt7YUNGzYY98nKyhIACKmpqWKVKUkeHh7CV199xWNuZlVVVcLAgQOFHTt2CKNHjxbmzp0rCAI/6+a0ePFiISYmpt37eNzNY/78+cLdd9/d4f16vV7w9/cXPvroI+O2iooKQaVSCf/61796okSbMXfuXKF///6CXq836+edZ25uoLKyEgDg6ekJADh27BgaGxsRHx9v3CcsLAx9+vRBamqqKDVKTXNzM9atW4eamhrExcXxmJvZnDlzkJiYaHJ8AX7Wze3s2bMIDAxEv379MH36dOTn5wPgcTeXn3/+GcOHD8cjjzwCX19fDB06FKtWrTLen5ubC41GY3Lc1Wo1Ro4cyePejXQ6Hb799ls888wzkMlkZv28s7npgF6vx7x58zBq1ChERkYCADQaDZRKJdzd3U329fPzg0ajEaFK6cjIyICLiwtUKhVefPFFbNy4ERERETzmZrRu3TocP34cS5cubXMfj7v5jBw5EmvXrsXWrVuxYsUK5Obm4p577kFVVRWPu5lcuHABK1aswMCBA7Ft2zbMnj0bf/jDH/DNN98AgPHY+vn5mTyOx717/fjjj6ioqMDTTz8NwLy/Z2xuVfDOmjNnDjIzM02ycDKfQYMGIS0tDZWVlfjPf/6DmTNnYu/evWKXJVkFBQWYO3cuduzYAQcHB7HLsSkTJkww/js6OhojR45EcHAw/v3vf8PR0VHEyqRLr9dj+PDheP/99wEAQ4cORWZmJlauXImZM2eKXJ3tWL16NSZMmIDAwECzvxbP3LTj5ZdfxqZNm7B792707t3buN3f3x86nQ4VFRUm+xcVFcHf37+Hq5QWpVKJAQMGIDY2FkuXLkVMTAz++te/8pibybFjx1BcXIxhw4bBzs4OdnZ22Lt3Lz7//HPY2dnBz8+Px72HuLu7IzQ0FOfOnePn3UwCAgIQERFhsi08PNwYBxqO7W9H6fC4d5+LFy9i586deO6554zbzPl5Z3NzHUEQ8PLLL2Pjxo3YtWsX+vbta3J/bGws7O3tkZKSYtyWnZ2N/Px8xMXF9XS5kqbX69HQ0MBjbiZjx45FRkYG0tLSjLfhw4dj+vTpxn/zuPeM6upqnD9/HgEBAfy8m8moUaPaTOuRk5OD4OBgAEDfvn3h7+9vcty1Wi0OHTrE495Nvv76a/j6+iIxMdG4zayf99u88FlSZs+eLajVamHPnj1CYWGh8VZbW2vc58UXXxT69Okj7Nq1Szh69KgQFxcnxMXFiVi19XvjjTeEvXv3Crm5uUJ6errwxhtvCDKZTNi+fbsgCDzmPeX60VKCwONuLq+99pqwZ88eITc3Vzhw4IAQHx8veHt7C8XFxYIg8Libw+HDhwU7OzthyZIlwtmzZ4XvvvtOcHJyEr799lvjPsuWLRPc3d2Fn376SUhPTxemTJki9O3bV6irqxOxcmlobm4W+vTpI8yfP7/Nfeb6vLO5uQ6Adm9ff/21cZ+6ujrhpZdeEjw8PAQnJyfhoYceEgoLC8UrWgKeeeYZITg4WFAqlYKPj48wduxYY2MjCDzmPeW3zQ2Pu3lMmzZNCAgIEJRKpdCrVy9h2rRpwrlz54z387ibx3//+18hMjJSUKlUQlhYmPDll1+a3K/X64W33npL8PPzE1QqlTB27FghOztbpGqlZdu2bQKAdo+nuT7vMkEQhNs790NERERkOXjNDREREUkKmxsiIiKSFDY3REREJClsboiIiEhS2NwQERGRpLC5ISIiIklhc0NERESSwuaGiIiIJIXNDZGEvf322xgyZEiPvV5eXh5kMhnS0tJ67DV/a+3atXB3d7/pfjKZDD/++KPZ6wGAe++9F99//32P1/PYY4/h448/7tbnJLIGbG6IJOz11183WZTOFkybNg05OTnGnztq8AoLCzFhwgSz1/Pzzz+jqKgIjz32mNlf67cWLlyIJUuWoLKyssdfm0hMbG6IJMzFxQVeXl5il9GjHB0d4evre9P9/P39oVKpzF7P559/jlmzZkEu7/lft5GRkejfvz++/fbbHn9tIjGxuSGyUl9++SUCAwOh1+tNtk+ZMgXPPPMMgLZnLfbs2YMRI0bA2dkZ7u7uGDVqFC5evAgAePrpp/Hggw+aPNe8efMwZswY489bt27F3XffDXd3d3h5eWHSpEk4f/58l+oOCQnBe++9h8cffxzOzs7o1asXli9fbrJPfn4+pkyZAhcXF7i5ueHRRx9FUVGR8f6TJ0/ivvvug6urK9zc3BAbG4ujR48CMI2l1q5di3feeQcnT56ETCaDTCbD2rVrAbSNgTIyMnD//ffD0dERXl5eeOGFF1BdXW2833B8/vKXvyAgIABeXl6YM2cOGhsbO3yvJSUl2LVrFyZPnmyy/ezZs7j33nvh4OCAiIgI7Nixo81jCwoK8Oijj8Ld3R2enp6YMmUK8vLyjPc3NTXhD3/4g/G/xfz58zFz5sw2/w0nT56MdevWdVgjkRSxuSGyUo888giuXr2K3bt3G7eVlZVh69atmD59epv9m5qa8OCDD2L06NFIT09HamoqXnjhBchksk6/Zk1NDZKSknD06FGkpKRALpfjoYceatNg3cxHH32EmJgYnDhxAm+88Qbmzp1r/ILX6/WYMmUKysrKsHfvXuzYsQMXLlzAtGnTjI+fPn06evfujSNHjuDYsWN44403YG9v3+Z1pk2bhtdeew2DBw9GYWEhCgsLTZ7n+veVkJAADw8PHDlyBBs2bMDOnTvx8ssvm+y3e/dunD9/Hrt378Y333yDtWvXGpul9uzfvx9OTk4IDw83btPr9Zg6dSqUSiUOHTqElStXYv78+SaPa2xsREJCAlxdXbFv3z4cOHAALi4uGD9+PHQ6HQDggw8+wHfffYevv/4aBw4cgFarbfeanREjRuDw4cNoaGjosE4iybntdcWJSDRTpkwRnnnmGePP//jHP4TAwEChublZEARBWLx4sRATEyMIgiBcvXpVACDs2bOn3eeaOXOmMGXKFJNtc+fOFUaPHt3h65eUlAgAhIyMDEEQBCE3N1cAIJw4caLDxwQHBwvjx4832TZt2jRhwoQJgiAIwvbt2wWFQiHk5+cb7z916pQAQDh8+LAgCILg6uoqrF27tt3n//rrrwW1Wm38+fpjcD0AwsaNGwVBEIQvv/xS8PDwEKqrq433JycnC3K5XNBoNIIgtByf4OBgoampybjPI488IkybNq3D9/rpp58K/fr1M9m2bds2wc7OTrh8+bJx25YtW0zq+X//7/8JgwYNEvR6vXGfhoYGwdHRUdi2bZsgCILg5+cnfPTRR8b7m5qahD59+rT5b3jy5EkBgJCXl9dhnURSwzM3RFZs+vTp+L//+z/jX+XfffcdHnvssXav7/D09MTTTz+NhIQETJ48GX/9619RWFjYpdc7e/YsHn/8cfTr1w9ubm4ICQkB0BIjdUVcXFybn7OysgAAWVlZCAoKQlBQkPH+iIgIuLu7G/dJSkrCc889h/j4eCxbtqzL0dhvZWVlISYmBs7OzsZto0aNgl6vR3Z2tnHb4MGDoVAojD8HBASguLi4w+etq6uDg4NDm9cKCgpCYGCgcdtvj8fJkydx7tw5uLq6wsXFBS4uLvD09ER9fT3Onz+PyspKFBUVYcSIEcbHKBQKxMbGtqnB0dERAFBbW3uzw0AkGWxuiKzY5MmTIQgCkpOTUVBQgH379rUbSRl8/fXXSE1NxV133YX169cjNDQUv/76KwBALpdDEAST/X97PcnkyZNRVlaGVatW4dChQzh06BAAGKOSnvL222/j1KlTSExMxK5duxAREYGNGzea/XV/G33JZLIbRnLe3t4oLy/v8utUV1cjNjYWaWlpJrecnBw88cQTXXqusrIyAICPj0+X6yCyVmxuiKyYg4MDpk6diu+++w7/+te/MGjQIAwbNuyGjxk6dCgWLFiAgwcPIjIy0jj/io+PT5szOdfPV3P16lVkZ2dj4cKFGDt2LMLDw2/pixuAsaG6/mfDdSnh4eEoKChAQUGB8f7Tp0+joqICERERxm2hoaF49dVXsX37dkydOhVff/11u6+lVCrR3Nx8w3rCw8Nx8uRJ1NTUGLcdOHAAcrkcgwYN6vL7Mxg6dCg0Go3JcTK8v+uP9W+Px7Bhw3D27Fn4+vpiwIABJje1Wg21Wg0/Pz8cOXLE+Jjm5mYcP368TQ2ZmZno3bs3vL29b/l9EFkbNjdEVm769OlITk7GmjVrbnjWJjc3FwsWLEBqaiouXryI7du34+zZs8am4v7778fRo0fxz3/+E2fPnsXixYuRmZlpfLyHhwe8vLzw5Zdf4ty5c9i1axeSkpJuqeYDBw7gww8/RE5ODpYvX44NGzZg7ty5AID4+HhERUVh+vTpOH78OA4fPowZM2Zg9OjRGD58OOrq6vDyyy9jz549uHjxIg4cOIAjR46YXLR7vZCQEOTm5iItLQ2lpaXtXlg7ffp0ODg4YObMmcjMzMTu3bvxyiuv4KmnnoKfn98tvUegpbnx9vbGgQMHjNvi4+MRGhqKmTNn4uTJk9i3bx/efPPNNvV4e3tjypQp2LdvH3Jzc7Fnzx784Q9/wKVLlwAAr7zyCpYuXYqffvoJ2dnZmDt3LsrLy9tcIL5v3z6MGzfult8DkTVic0Nk5e6//354enoiOzv7hpGFk5MTzpw5g4cffhihoaF44YUXMGfOHPzP//wPACAhIQFvvfUW/vSnP+GOO+5AVVUVZsyYYXy8XC7HunXrcOzYMURGRuLVV1/FRx99dEs1v/baazh69CiGDh2K//3f/8Unn3yChIQEAC1Rz08//QQPDw/ce++9iI+PR79+/bB+/XoALdeWXL16FTNmzEBoaCgeffRRTJgwAe+88067r/Xwww9j/PjxuO++++Dj44N//etf7R6bbdu2oaysDHfccQd+//vfY+zYsfjiiy9u6f0ZKBQKzJo1C999951xm1wux8aNG1FXV4cRI0bgueeew5IlS9rU88svv6BPnz6YOnUqwsPD8eyzz6K+vh5ubm4AgPnz5+Pxxx/HjBkzEBcXBxcXFyQkJJhc41NfX48ff/wRzz///G29DyJrIxN+G7ITEZlRSEgI5s2bh3nz5oldSo/QaDQYPHgwjh8/juDgYLO9jl6vR3h4OB599FG89957AIAVK1Zg48aN2L59u9lel8gS2YldABGRlPn7+2P16tXIz8/v1ubGEC2OHj0aDQ0N+OKLL5Cbm2ty9s7e3h5/+9vfuu01iawFmxsiIjP77azB3UEul2Pt2rV4/fXXIQgCIiMjsXPnTpNrj5577rluf10ia8BYioiIiCSFFxQTERGRpLC5ISIiIklhc0NERESSwuaGiIiIJIXNDREREUkKmxsiIiKSFDY3REREJClsboiIiEhS/j/Z4RnrZsIJ/gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax1 = plt.subplot()\n", "res_sp_cuppini2017.causes().plot(ax=ax1)\n", "ax1.set_ylabel(\"C=1 (prop)\")\n", "ax1.set_xlabel(\"visual position (deg)\")\n", "ax1.legend(labels=[\"Cuppini2017\"])" ] }, { "cell_type": "markdown", "id": "8d9305f7", "metadata": {}, "source": [ "Refer to the [API documentation](https://scikit-neuromsi.readthedocs.io/en/latest/api/ndcollection/cplot_acc.html) for more details about the visualizations available in the `NDResultCollection` plotting module." ] } ], "metadata": { "kernelspec": { "display_name": "neuromsi", "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": "3.10.18" } }, "nbformat": 4, "nbformat_minor": 5 }