{ "cells": [ { "cell_type": "markdown", "id": "dbc22545", "metadata": {}, "source": [ "# 01 Examples" ] }, { "cell_type": "code", "execution_count": 1, "id": "04c28a68", "metadata": { "execution": { "iopub.execute_input": "2026-02-10T07:54:46.095240Z", "iopub.status.busy": "2026-02-10T07:54:46.095037Z", "iopub.status.idle": "2026-02-10T07:54:52.058573Z", "shell.execute_reply": "2026-02-10T07:54:52.057662Z" } }, "outputs": [], "source": [ "%reload_ext autoreload\n", "%autoreload 2\n", "\n", "import os\n", "from pathlib import Path\n", "import numpy as np\n", "from scipy.integrate import simpson, trapezoid\n", "from pytrunc.phase import calc_moments, henyey_greenstein, calc_hg_moments\n", "from pytrunc.truncation import delta_m_phase_approx, gt_phase_approx\n", "from pytrunc.utils import integrate_lobatto, quadrature_lobatto\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib.ticker import MaxNLocator\n", "import xarray as xr\n", "from pytrunc.constant import DIR_ROOT" ] }, { "cell_type": "markdown", "id": "b6fb1bde", "metadata": {}, "source": [ "## Compute all truncated phase matrix unique terms" ] }, { "cell_type": "markdown", "id": "10e9e849", "metadata": {}, "source": [ "### Water cloud \n", "- spherical particle" ] }, { "cell_type": "markdown", "id": "d001a96f", "metadata": {}, "source": [ "#### Get realistic water cloud phase function from mie calculation" ] }, { "cell_type": "code", "execution_count": 2, "id": "c0ea5fce", "metadata": { "execution": { "iopub.execute_input": "2026-02-10T07:54:52.061082Z", "iopub.status.busy": "2026-02-10T07:54:52.060743Z", "iopub.status.idle": "2026-02-10T07:54:52.640217Z", "shell.execute_reply": "2026-02-10T07:54:52.639279Z" } }, "outputs": [ { "data": { "image/png": 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W0dHRCAoKqtQ+iouLcfbsWXh6egIA/Pz84OHhIdmnRqPB0aNHK9ynSqWCo6OjZCqtqKiosm+NiIj+UWtP3q4rXFxcJPMMFkRExhEREYGwsDD06NEDAQEBWL58OXJycjB+/HgAwLPPPosmTZpg0aJFAIC33noLvXr1QsuWLZGRkYGlS5fi+vXreOGFFwD8fceoGTNm4J133kGrVq3g5+eHN954A15eXhg+fHi1auWIBRGRfCYfLHiNBRFR3TB69GikpaVh3rx5UKvV6NKlC3bv3q27+DoxMRFK5b8D6Xfv3sXEiROhVqvRsGFDdO/eHb///jvat2+va/Pqq68iJycHkyZNQkZGBh544AHs3r1b70F6cjFYEBHJpxBCCGMXURs0Gg2cnJwQGRmp+/YLAIYNG1bt+5sTEdV3JZ+RmZmZZZ4KZE5KjsV/rVu3TjeSQkRkzuT0F7zGgoiIqBSOWBARyWfywYLXWBARkVwMFkRE8pl8sOCIBRERycVgQUQkn9kFizt37rDDICKiCrGfICKSz+SDRePGjSXzQgikpqYaqRoiIqoPGCyIiOQz+WDh5uYGa2trybJr164ZpxgiIqoXGCyIiOQz+WChVCrh4+MjWXb9+nUjVUNERPUBgwURkXwmHywAoFmzZpJ5jlgQEVFFGCyIiOQzi2Dh6+srmeeIBRERVYTBgohIPrMMFvHx8cYphIiI6gUGCyIi+cwiWHTo0EEy/8cff0AIYaRqiIiormOwICKSzyyCRZcuXSTzd+7cwc2bN41TDBER1XlFRUXGLoGIqN4xi2Dh6+sLR0dHybLTp08bpxgiIqrzOGJBRCSfWQQLhUIBf39/ybIjR44YqRoiIqrrGCyIiOQzi2ABAEFBQZL5AwcOGKkSIiKq6xgsiIjkM5tg8dBDD0nm4+LicO/ePSNVQ0REdRmDBRGRfGYTLB544AEolf++3YKCAhw9etSIFRERUV3FYEFEJJ/ZBAtHR0d07dpVsiw6OtpI1RARUV3GYEFEJJ/ZBAsAePjhhyXzu3btMlIlRERUlzFYEBHJZ1bBYvDgwZL5U6dO8XkWRESkh8GCiEg+swoWvXv3hrOzs2QZRy2IiKg0BgsiIvnMKlhYWVkhJCREsmz79u1GqoaIiOoqBgsiIvnMKlgAwJAhQyTzv/zyC1JSUoxUDRER1UUMFkRE8pldsBg2bBjs7Ox088XFxdi0aZMRKyIiorqGwYKISD6zCxYODg4YMWKEZNmaNWug1WqNVBEREdU1DBZERPKZXbAAgOeee04yf+HCBV5rQUREOgwWRETy1elg8fjjj6Nhw4YYNWpUje63f//+6Nixo2TZm2++yY6EiIgAMFgQEVVFnQ4WL730EjZu3Fjj+1UqlXj99dcly/744w9ERUXV+GsREdG/oqKi4OvrCxsbGwQGBiIuLq7ctmvWrEHfvn3RsGFDNGzYEMHBwXrtn3vuOSgUCskUGhpa7TqLioqqvQ8iInNTp4NFv3794ODgUCv7fuKJJ9ChQwfJstmzZ+PMmTO18npEROZuy5YtiIiIwPz583Hy5En4+/sjJCQEqampZbaPiYnBU089hf379yM2Nhbe3t4YOHCg3oNNQ0NDcevWLd30zTffVLtWjlgQEclXa8Hi4MGDeOyxx+Dl5QWFQoFt27bptZHzzVVNs7S0xCeffCJZdu/ePQwfPhzJyckGq4OIyFwsW7YMEydOxPjx49G+fXusXr0adnZ2WLduXZntv/76a7z44ovo0qUL2rZti88//xxarRbR0dGSdiqVCh4eHrqpYcOG1a6VwYKISL5aCxY5OTnw9/cv9/Qiud9c1YYHH3wQL774omRZQkIC+vXrhytXrhisDiIiU1dQUIATJ04gODhYt0ypVCI4OBixsbGV2kdubi4KCwvh4uIiWR4TEwM3Nze0adMGU6ZMwe3bt6tdL4MFEZF8tRYsBg0ahHfeeQePP/54mevlfnN1P/n5+dBoNJKpMpYtW4bAwEDJskuXLqFHjx743//+ByFEleohIqJ/paeno7i4GO7u7pLl7u7uUKvVldrHa6+9Bi8vL0k4CQ0NxcaNGxEdHY333nsPBw4cwKBBgyoMBpXpLxgsiIjkM8o1FjXxzVVpixYtgpOTk27y9vau1HYqlQo//PADWrduLVmekZGBJ554AsOGDUN8fHyVaiIiopqxePFibN68GT/88ANsbGx0y8eMGYOhQ4eiU6dOGD58OHbu3Iljx44hJiam3H1Vpr9gsCAiks8owaKy31wFBwfjiSeewE8//YSmTZtWGDoiIyORmZmpm5KSkipdj6enJ2JiYvRuQQsAO3bsQPv27REWFoazZ89Wep9ERPQvV1dXWFhYICUlRbI8JSUFHh4eFW77/vvvY/HixdizZw86d+5cYdvmzZvD1dUVly9fLrdNZfoLBgsiIvnq9F2hfv31V6SlpSE3Nxc3btxAUFBQuW1VKhUcHR0lkxyenp6IjY3Fk08+qbdOq9Vi48aN6Ny5M/r374+tW7ciPz9f9vshIjJX1tbW6N69u+TC65ILsSv6bF+yZAnefvtt7N69Gz169Ljv69y4cQO3b9+Gp6dnuW0q018wWBARyWeUYFGdb65qU4MGDbB582Zs3rwZbm5uZbaJiYnBk08+CU9PT7z44os4cuQIr8MgIqqEiIgIrFmzBl988QUuXLiAKVOmICcnB+PHjwcAPPvss4iMjNS1f++99/DGG29g3bp18PX1hVqthlqtRnZ2NgAgOzsbr7zyCo4cOYJr164hOjoaw4YNQ8uWLRESElKtWhksiIjkM0qwqOo3V4agUCgwevRoXLx4Ea+//jrs7e3LbHf37l2sWrUKQUFBaNOmDd5++20kJCQYuFoiovpj9OjReP/99zFv3jx06dIFp0+fxu7du3WnxSYmJuLWrVu69qtWrUJBQQFGjRoFT09P3fT+++8DACwsLHDmzBkMHToUrVu3xoQJE9C9e3ccOnQIKpWqWrUyWBARyacQtfR1e3Z2tu4c165du2LZsmXo378/XFxc4OPjgy1btiAsLAyffvopAgICsHz5cnz77be4ePGi3rUXVaHRaODk5ITMzEzZp0X9V3p6Oj7++GN8+umneiMsZenduzfGjRuHJ598Eo0aNary6xIR1aaa+ow0BSXH4r/atWuH8+fPG6kiIqK6Q05/UWvBIiYmBv3799dbHhYWhg0bNgAAVq5ciaVLl0KtVqNLly5YsWKF3q1fq6qmO838/Hx89913+PTTT3Hw4MH7tre0tMSgQYMwduxYDB06FLa2ttWugYiopjBY/KusYNG6dWveEZCICHUkWBhbbXaa165dw1dffYWNGzfi0qVL923v4OCAkSNHYuzYsejfvz8sLCxqtB4iIrkYLP5VVrBo0aJFhXeWIiIyF3L6izp9V6i6ytfXF3PnzkV8fDxiY2MxZcoUvSfB/ldWVhY2bNiARx55BN7e3nj55Zdx6tQpXvRNRFRHFRUVGbsEIqJ6h8GiGhQKBXr16oVPPvkEt27dwo8//ognn3xS8vCm0m7duoVly5ahW7du6NChAxYuXIhr164ZrmgiIrovXrxNRCQfg0UNsba2xmOPPYYtW7YgJSUF69evR3BwMBQKRbnbXLhwAXPmzIGfnx8eeOABfPrpp8jMzDRg1UREVBYGCyIi+RgsaoGjoyOee+457N27F0lJSXj//ffRtWvXCrc5fPgwJk+eDA8PD4wbNw779u2DVqs1UMVERPRfPBWKiEg+Bota1qRJE7z88ss4efIkzp07h9dffx3NmjUrt31eXh6+/vprDBgwAC1atMBbb72FxMREA1ZMREQcsSAiko/BwoDat2+Pd999F1evXsWhQ4fwf//3f2jYsGG57a9du4b58+fD19cXAwcOxObNm5GXl2fAiomIzBNHLIiI5GOwMAKlUokHHngAq1evhlqtxrZt2/D444/D0tKyzPZCCOzduxdPPfUUPD09MXXqVJw8edLAVRMRmQ+OWBARycdgYWTW1tYYNmwYvv/+e9y8eRPLli1Dhw4dym2fkZGBqKgodO/eHT179sSaNWuQnZ1twIqJiEwfRyyIyFzdvHmzyjcTYrCoQ9zc3DBz5kycPXsWcXFxmDx5coUPIjl+/DgmTZoELy8vTJkyBadPnzZcsUREJowjFkRkjmbOnImmTZvC1dUVX375pezt+eTtOi43Nxc//PAD1q1bh3379t23fUBAACZNmoQxY8bA3t7eABUSUX1kKp+RNaGsJ28D4ENMicisHDt2DAEBAbp5a2trXLp0Cc7Oznzytqmws7PD2LFjER0djatXr2LevHlo2rRpue3j4uLwwgsvwMvLC+Hh4Thz5owBqyUiMh285TcRmZMNGzZI5gsKCvDjjz/K2geDRT3i5+eHN998E9euXcOOHTswZMgQKJVl/xVqNBp88skn8Pf3R+/evfH1118jPz/fwBUTEdVfvM6CiMxJdHS03rKEhARZ+2CwqIcsLCwwZMgQ7NixQ3dL2iZNmpTbPjY2FuPGjYOPjw/mzp2LpKQkA1ZLRFQ/8ToLIjIXt27dQnx8vN5yuc9SY7Co57y9vbFgwQJcu3YN27dvx+DBg6FQKMpsm5qainfffRd+fn4YOXIk9u/fz3OIiYjKwRELIjIXe/fuLXO53GBR9oMTqN6xtLTE0KFDMXToUCQmJuLzzz/H2rVrkZycrNe2uLgY33//Pb7//nu0b98e4eHheOaZZ+Dg4GCEyomI6qb6PmJRVFSE1NRUXLp0CdevX4dSqYRCoUBqaiqys7OhUqlgY2NT5qRSqWBnZ4fGjRvD3d0dtra2xn47RFSL9uzZU+bymzdvytoP7wplwoqKivDjjz9i5cqV2L9/f4VtHRwcEBYWhvDwcLRt29ZAFRKRsfAz8l/l3RUqPT0djRo1MkJF8mi1Wvz11184fvw4jh8/jrNnz+LChQtQq9U1Nirt6OgId3d3eHh46P709fVFu3bt0K5dOzRr1qzca/6IqG4rKipCkyZNkJqaqreuQYMGuHnzZqX7CwYLM3Hu3DlERUVh48aNyMnJqbDtgAEDMG3aNAwZMgQWFhYGqpCIDImfkf8qL1io1Wq4u7sboaL7u337Nnbs2IEffvgBMTEx0Gg0Rq3H1tYWbdq00QWNkqlVq1awtrY2am1EVLEff/wRw4YNK3f9nTt34OLiwmDBTlNfZmYmNm7ciKioqDIv0vmvFi1aYMaMGXjuuefQoEEDA1VIRIbAz8h/lRcsbt68CS8vLyNUVLbCwkL873//w9q1axETE1MvTtWytraGv78/evbsiR49eqBnz55o164dv7QiqiNyc3MREBCAc+fOldvm2rVr8PX1ZbBgp1k+IQSio6OxcuVK7Nixo8L7tTs7O2PixImYNm0avL29DVglEdUWfkb+q7xgcf36dfj4+BihIqnCwkKsXbsW7777Lm7cuCF7exsbG7Ro0QKWlpYoLi6Gq6srnJycUFBQgLy8POTl5SE/P1/3c8mUnZ2NgoKCGn8/dnZ26NatG3r27IlevXohKCiIfQuREWg0Gjz55JP45ZdfKmx35swZdO7cmcGCnWblXLt2DatXr8bnn3+O27dvl9vOwsICTzzxBGbOnCl5MiMR1T/8jPxXecHi6tWr8PPzM0JFfxNCYOvWrZg7dy4uXbp03/ZeXl7o0aMHunfvjo4dO6JFixbw8PBA48aNq3T9gxACmZmZSElJgVqtRkpKiu7nmzdvIj4+HhcuXEBmZmZV3p5EkyZNdCEjKCgI3bp1g42NTbX3S0Rl+/HHHzF9+nRcv35dstzf3x9//PGHZNlvv/2GBx54gMGCnaY8eXl52Lx5M5YvX673j6q03r17IyIiAsOHD+eQNlE988knn2DXrl346aef+BmJ8oPFX3/9hVatWhmhIuD06dOYNGkSjh07Vm4bW1tbhIaG4vHHH8eAAQOMctqWEAJqtRoXLlzQm27dulXl/VpZWcHf3x8BAQEICAhAz5490bZtW14gTlRN586dw+zZs7Fz5069dQ0bNsTvv/+OXr16Sb4w+Omnn/Doo48yWDBYVI0QAjExMfjwww+xc+fOCu8q4uvri+nTp2PChAk8zkT1gBACnTt3xp9//gkA/IxE+cHiwoULBr9LXlFREd59912888475T5Ho3fv3pg+fTqGDBkCe3t7g9Ynx927d3Hy5EkcO3YMx48fx7Fjx2TfE/+/HBwcdNdplASOpk2blvvsJiL629mzZ/Hzzz8jJiYGu3fvLvP3ukaNGmHnzp3o1asXmjVrJvm/unnzZowZM4bBgsGi+i5duoSPPvoI69evR25ubrntHBwcMGnSJMyYMQNNmzY1YIVEJMfRo0fRq1cv3Tw/I8sPFmfPnkXHjh0NVkdycjKeeuopHDx4sMz1AQEBeO+999CvXz+D1VTTUlNTdSHj6NGjOHLkCO7evVvl/bm7u0tGNTp16gRPT0+GDTJb+fn5OHXqFI4cOYLY2FjExsYiKSmpwm0eeughrF+/XnfqZ+fOnXH27Fnd+s8++wyTJk1isGCwqDl37tzBmjVr8PHHH1f4sBRLS0uMHTsWr7zyCjp06GDAComoIiXny7/xxhtYuXKlbjk/I8sPFqdPn4a/v79Bavj111/x9NNPIy0tTW9d69atsXDhQowYMcLkfmEueQZHbGys7hehP//8s1rP33B2dkaHDh30Jnd3d5M7fmS+CgoKcOXKFVy8eFE3XbhwAWfOnEF+fn6l9uHu7o4PPvgATz/9tOT/RlBQEI4cOaKbX758OWbMmMFgwWBR80pud7hs2TIcP368wraDBw/Ga6+9hgceeIAf5kRGVFBQgOeeew7ffPON3jp+RpYfLI4fP47u3bvX6msLIbB48WLMmTNH75dpCwsLvP7665g7d65ZPQtCo9Hg2LFjOHbsGOLi4nDs2LEq3Q2rNBcXF72w0bFjRzRu3LgGqiaqHbdv39YFh/j4eN3PV69erfItp52cnDBjxgzMnDmzzM++4OBgREdH6+YXLlyI119/vXL9hTBRmZmZAoDIzMw0dikmSavVikOHDokRI0YIpVIpAJQ79erVS3z//feiqKjI2GUTmaU33nij3P+fhv6MXLlypWjWrJlQqVQiICBAHD16tML23377rWjTpo1QqVSiY8eOYteuXZL1Wq1WvPHGG8LDw0PY2NiIAQMGiL/++ktWTSX9RenpfrVVl1arFXPnzi3ztX18fMSRI0dq9fXrk5s3b4pt27aJOXPmiEceeUQ4OztX2O/ImRo3biz69esnwsPDxUcffSS2bdsmTp8+LTIyMoz9tqkOy83NFW+//bYYMmSImDFjhjh37ly19peZmSl+/fVXsXTpUjFhwgTRp08f4erqWmP/zps2bSomT54svvzyy/v+2x46dKhk2zlz5lS6v2CwoGq7cuWKCA8PFzY2NhX+o27durVYs2aNyM/PN3bJRGajuLhYuLu714lgsXnzZmFtbS3WrVsnzp07JyZOnCicnZ1FSkpKme0PHz4sLCwsxJIlS8T58+fF3LlzhZWVlTh79qyuzeLFi4WTk5PYtm2b+OOPP8TQoUOFn5+fuHfvXqXrKi9YHD58uNrvuTxarVbXWZeehgwZIm7fvl1rr20KiouLxV9//SW++uorMX36dNGrVy9hZ2dXY7+ElUxOTk7C399fDB06VEydOlW888474vPPPxc7duwQx44dE0lJSezTzFBaWpro1KmT5N+KlZWV+Pzzz2Xt58KFC2Lx4sWid+/eQqFQ1Oi/3fbt24sJEyaINWvWiD///FMUFxdXuq6nn35asq/p06dXur/gqVBUY9LS0rBy5UqsXLkSd+7cKbdd06ZN8eqrr+KFF16Ara2tASskMj+///47+vTpU+56Q35GBgYGomfPnrprPLRaLby9vTFt2jTMnj1br/3o0aORk5MjuS1ir1690KVLF6xevRpCCHh5eeHll1/GrFmzdO/H3d0dGzZswJgxYypVV3mnQh08eBB9+/atylutkBACc+fOxcKFC/XWLV68GK+88gpvq1oFWq0W169fx7lz5yTThQsXcO/evVp97YYNG8LZ2RmOjo5wdHSEk5NTmT+XTCqVCtbW1lCpVHpTyXKFQgGlUgmFQqGb/jtfep1Wq4VWq0VxcbHu56rOFxcXo7CwUDIVFBRI5ouKiuDg4AAXFxc0atQIfn5+aNCgQa0e57rimWeewVdffVXmui+//BLjxo0rd1shBPbs2YPFixcjJiam2rV4eHigbdu2uql9+/bo2bMnnJ2dq7zPSZMmYc2aNXrLK9NfWFb5VYlKady4Md588028+uqrWLduHT744AO9B68AwI0bNzB9+nS8++67iIiIwJQpU+Dg4GCEisnUqdVq7N27F4mJiWjYsCH69euH9u3bG7ssg9q2bZuxSwDw93UeJ06cQGRkpG6ZUqlEcHAwYmNjy9wmNjYWERERkmUhISG695SQkAC1Wo3g4GDdeicnJwQGBiI2NrbcYJGfny+5uFGj0ZTZrqrnL1dECIE5c+Zg0aJFeus+//xzTJgwocZf01wolUr4+fnBz88PQ4YM0S0vLi7GtWvX9ALHxYsXkZeXVyOvfffu3Wrd3cpUlPySGxQUhN69e6N3795wcXExdlk16sSJE+WGCgAYP3483N3d8cgjj+itu3DhAqZPn45ff/1V1mtaWVmhVatWuvDQpk0b3Z9lfSlSXdW5jTWDBdU4e3t7TJs2DVOmTMHWrVuxZMkSnD59Wq9dSkoKXnvtNSxevBgvvfQSpk+fjoYNGxq+YDI5t2/fxquvvoqNGzfqPQsgODgYK1euRJs2bYxUneEIIfDDDz8YuwwAQHp6OoqLi+Hu7i5Z7u7ujosXL5a5jVqtLrO9Wq3WrS9ZVl6bsixatAhvvvnmfWsu7zkSVVVeqFAoFFizZg1DRS2xsLBAixYt0KJFCwwdOlS3vLi4GFevXpWMbFy7dg3Xrl1DcnJyte5MZa7UajXUarXkm/j27dvjoYcewoMPPoiHHnoInp6e1X4dIQSysrKQnZ2NgoICODk5wcnJySAjfWV9k/9fRUVFGDFiBA4cOIBu3boB+PvOmgsXLsRHH31U4eeKlZUVunTpgs6dO0tGIXx9fWFpabhf2RksqE6ytLTEU089hTFjxmDPnj1YuHBhmfdnv3v3LhYsWIAPPvgA4eHhmDlzJtzc3IxQMZmCP/74A4MHDy73tsi//vorevTogW+++UbyraYpOn/+PC5fvlzmuvbt2+P8+fMGrqhuiIyMlIyEaDQaeHt767Wr6RGLDz/8sMxQ8fnnn+P555+v0dei+7OwsECrVq3QqlUrDB8+XLIuPz8fSUlJuH79uiRslPzinJKSgpSUlBoPn6bo/PnzOH/+PFatWgUAaNmyJR566CH06dMHrVu3RvPmzeHu7i4JBbm5ubh58yaSkpIkU2Jiom7Kzs6WvI61tTW6du2KBx54AM8880yt3Cq6qKgI3333nWTZW2+9hTt37mD58uW6ZdnZ2ejXrx9mzZqFrKwsfPbZZ+WOjLq7u+Pxxx/HsGHD0K9fP9jY2NR43XJV55Q2BguqdQqFAiEhIQgJCcGhQ4fw7rvv4pdfftFrl5WVhcWLF+Ojjz7CxIkT8corr/BheyTL+fPn0b9///uekpCdnY0RI0Zg586dGDhwoIGqM7zvv/9eMu/t7Y2rV6/i9u3bsLGxqdY5uHK5urrCwsICKSkpkuUpKSnw8PAocxsPD48K25f8mZKSIvkWNCUlBV26dCm3lpJz2e+nJn9pPHr0KF577TXJMoVCgbVr12L8+PE19jpUM1QqFVq2bImWLVuW20ar1eLOnTtISUlBWloaNBoNMjMzodFoKvw5KytLdzpeQUGB7ue6MEJScu2GUqmElZUVrK2tYWVlJZlKlimVSmg0Gty9e7fC6ypLu3z5Mi5fvoy1a9dKltvb20Or1SI/Px9arVZ27QUFBTh69CiOHj2KDz74AMOGDcOKFSvg4+Mje1/liYmJQXp6umTZ2LFj4evri+TkZHz77be65VlZWZg/f365+2ratCkWLFiAcePGVerzyJA4YkH1Rt++fbF7924cO3YMCxcuLPP873v37mHFihVYvXo1Jk2ahMjISHh5eRm+WKpXkpOTMWjQIL1QYWtriwcffBB//PGH5PSYwsJCPP7449i3bx8CAwMNXW6tKy4uxrp16yTLhg8fDktLS7i7u5f77Vltsba2Rvfu3REdHa37dlir1SI6OhpTp04tc5ugoCBER0djxowZumV79+5FUFAQAMDPzw8eHh6Ijo7WBQmNRoOjR49iypQpsmv09fXFtWvXdPM1NWJx9+5djBkzRhJUGCrqP6VSCVdXV7i6ulZ7X0IIFBUVSQKH+PvOndBqtbqf/zuVXm5hYaELBf/9uTLzJVNVnzl17949XL16FX/99ReOHTuGw4cPIy4uTtY1LDk5OVV67fJs374dBw4cwNatWyXXYVVH6WsjevTogebNmwMANm7ciLS0NOzfv7/CfVhZWWHWrFmYM2dOtX6Br03VqqvS956qZ3i72frhzJkzYsyYMRU+C0OlUonp06eL5ORkY5dLdVR+fr7o0aOH3r+dBx54QNy8eVMIIUR2drYYO3asXhtXV1dx5coVI7+Dmvfjjz/qvdf/PhfBGJ+RmzdvFiqVSmzYsEGcP39eTJo0STg7Owu1Wi2EEOKZZ54Rs2fP1rU/fPiwsLS0FO+//764cOGCmD9/fpm3m3V2dhbbt28XZ86cEcOGDavy7WabN28uOV7fffddtd/zvXv3RN++ffX+LubOnVvtfRPVZfn5+SI2NlYsWbJEDB48WDg5OdX47YArM1lbW4tffvmlRt5TUFCQZN9z5syRrM/NzRXPPvtsmXUoFArx1FNPiUuXLtVILbVp8+bNZb4HPseCwaLeiI+PF+PHjxeWlpblfjjY2NiIl156Sdy6dcvY5VId8/rrr+v9ewkMDBQ5OTmSdsXFxWLMmDF6bdu2bSvu3LljpOprXkJCgvDy8pK8x65duwqtVqtrY6zPyI8//lj4+PgIa2trERAQIAk7Dz30kAgLC5O0//bbb0Xr1q2FtbW16NChQ7kPyHN3dxcqlUoMGDBAxMfHy6qp5Fi0atVKcsy+/fbbKr9PIf7+9zZy5Ei9f299+vQRhYWF1do3UX1TVFQkTp48KZYvXy5GjBgh2rZtK1QqVYWhwMnJSXTs2FGEhoaKiRMninfeeUds3LhRxMTEiCtXrojbt28LjUYjrl+/Lvbs2SNef/31Mh8q5+TkJPtzobTc3FxhZWUl2e/u3bvLbPv777+LyZMni759+4pHHnlEREZGVvsBeoa0c+dOBovSGCzqp2vXrokpU6bo/ectHTBmzpyp+5aTzNuhQ4f0RrxatmwpUlNTy2yfn58vQkJC9P5dPfzwwybxoKvY2FjRrFkzvfe3YcMGSTt+Rv6r5Fi0a9dOcsw2bdpUrf1+9NFHen8Pnp6eIjExsYYqJ6rfiouLRVJSkjh79qyIjY0VcXFx4o8//hDx8fFCo9FUaZ93794VI0aM0Pu/16tXL1FUVFTlWvfv3y/Zn1KprHKNdV3p98pgIdhp1nfXr18XkydPrjBg2Nraipdffrncp/aS6cvLy9P7ltnKykqcPHmywu0yMzP1npoKQISEhOhOnRJCiJycHHH58mVx6NAhsX//fhEXFycSExOr1TnVlszMTDF79mxhYWGh974efPBBvaeu8jPyXyXHomPHjpLj9uWXX1Z5n/Hx8cLW1layP0dHR3H69OkarJyIylJUVCSeeOIJvc/ClStXVnmfS5culeyrW7duNVhx3RIXF1flYMFHe1Kd5OPjg1WrVuHSpUuYNGlSmfdvvnfvHj744AP4+fnh1VdfRVpamhEqJWNaunQpLl26JFn21ltvoWvXrhVu5+joiJ07d+o9/+CXX36Bj48PmjRpAgcHB9jb26Nly5bo27cv+vfvj4CAAPj4+MDOzg6dOnXC008/jUWLFmHXrl1ITEw0yl1dUlJS8NZbb6Fly5ZYvHix3gXHnTt3xrZt2/gk50oo/TlT1btCFRcX47nnntN72vPWrVtr5RaYRCRlYWGB9evXo1WrVpLlb731lt5taivr1KlTkvnu3btXub66zmQv3h4+fLhwdnYWI0eOlL0tv40zLQkJCeKFF16o8BoMOzs78eqrr4q0tDRjl0sGcPXqVWFjY6N3XYWc0YS4uDi9b5WrMzVo0EB06NBBDBo0SEyePFksXLhQfP311+LQoUMiPj5e3LlzR2/kQA6tViuuXbsmfvzxRxEZGSl69OghFApFufX06dOn3FMG+Rn5r5Jj0b17d8nx+/zzz6u0v/fee0/v72Lq1Kk1XDUR3U9Zp/S89957VdpX6VMlP/nkkxqutu64fv16lUcsFELUgRsnlyMmJgZZWVn44osv8L///U/WthqNBk5OTsjMzISjo2MtVUiGlpCQgHfeeQdffPFFubeCLHny96xZs9CoUSMDV0iGMnToUOzYsUM3r1Qqcfz48fuOVpQWGxuLYcOGGWzEy8LCAo0aNYKrqyucnZ1ha2sLOzs73Z82NjbQarUoLi5GcXExNBoNUlNTkZKSglu3blXq2zYLCwvMnTsXc+fOLfdprfyM/FfJsQgICEBcXJxu+aeffopJkybJ2te5c+fQrVs3FBQU6Ja1bNkSp0+frrO3liQyZUOGDMGuXbt0802aNEFCQgKsrKwqvY/c3Fw4ODhInq8RGxuLXr161WitdcXt27fLvI1ypfqLWo891bR//36OWJCey5cvi/Hjx5d5PnnJ1KBBAzF79myOYJigsm6lWp1vhNVqtXjhhRfKHb2wt7cXjRo1EtbW1jU2ulFb09ChQ8XFixfv+575GfmvkmNR+laSUVFRsvZTVFQkevbsKdmHQqEQv/32Wy1VTkT3c+TIEb3PyS1btlRrH0qlUu+ug6bk3r17VR6xqPJJtwcPHsRjjz0GLy8vKBSKMh90FhUVBV9fX9jY2CAwMFDyTRBRdbRo0QLr1q3DxYsXERYWVub549nZ2Vi8eDF8fX3x2muv8RoME5Gbm4vp06dLlrm7u+Ptt9+u8j7d3d2xZs0apKenIzY2Fj/99BMOHz6MixcvQqPRIDs7G+np6cjLy4NarcbBgwfxySefYMqUKejTp4/Rv/G3s7NDWFgYTp48ie3bt6NNmzZGrae+Kj26I/cBeVFRUTh27JhkWUREBPr06VPt2oioagIDA9G7d2/JstIPD72fc+fOSeZbtWoFOzu7atdWV6lUqipfl1flJ2/n5OTA398fzz//PEaMGKG3fsuWLYiIiMDq1asRGBiI5cuXIyQkBPHx8XBzcwMAdOnSpcyL4/bs2cMnLVOltGzZEhs2bMCcOXPw9ttv4+uvv5YMVQJ//1tdsmQJVq5ciRdffBGzZs3Su2iX6o9FixZJno4M/H0Rt7Ozc7X3bWdnV+HQtkKhgLu7O9zd3dG3b1/dciEEkpKScPXqVVy/fh2JiYmSP2/cuIHc3Nxq11fC2dkZnTp1Qp8+ffDII4+gT58+UKlUNbZ/c2VhYSGZl3Px9o0bNzBnzhzJsjZt2lQr8BJRzZgyZQp+//133fyePXtw48YNNG3atFLblw4WHTp0qNH66hqFQgF7e3tkZWXJ3rbKwWLQoEEYNGhQueuXLVuGiRMnYvz48QCA1atXY9euXVi3bh1mz54NADh9+nRVX15Pfn4+8vPzdfMajabG9k11X6tWrbBx40bMnTsXb7/9NjZt2qQXMHJzc/H+++8jKioKkydPxquvvgoPDw8jVUxV8ddff2HJkiWSZQ8++CDGjRtnpIr+plAo4OPjAx8fn3Lb5Obm4vbt20hPT0d6ejrS0tKQnZ2N3Nxc5Obm4t69e8jNzUVeXh4sLCx0k62trS7MuLm5oXnz5mjatCkUCoUB36F5qM6Ixcsvv6x3/ctnn30GW1vbGqmNiKpuxIgRePHFF3W/KAsh8O233yIiIqJS258/f14yb+rBApA/YluiysGiIgUFBThx4gQiIyN1y5RKJYKDgxEbG1sbL4lFixbhzTffrJV9U/3RunVrfPnll5g7dy7efffdMkcw7t27hw8//BCrVq3C//3f/+G1116Dp6enkSqmytJqtZg4caLkolgLCwtERUXVi1+y7ezsYGdnB29vb2OXQuUoPfRf2RGLU6dO4dtvv5Use/755/Hggw/WWG1EVHV2dnYYNWoU1q9fr1v2v//9r8rBon379jVaX11U1X61Vm5snp6ejuLiYr3TTdzd3aFWqyu9n+DgYDzxxBP46aef0LRp0wpDSWRkJDIzM3VTUlJSleun+q9NmzbYuHGj7hqM0qc4AEBeXh4++ugj+Pn5Yfr06bh586YRKqXKWrNmDQ4ePChZNmPGDHTs2NFIFZGpKf05Udlv7N544w3JvLOzs97IGhEZ1xNPPCGZj42NrVS/n5WVhcTERMkyBovy1eknJv36669IS0tDbm4ubty4gaCgoHLbqlQqODo6SiaiVq1aYcOGDYiPj8fzzz9fZsDIz8/Hxx9/jObNm2Pq1KkMpXVQQkICXn31VckyX19fjlJSjarKA/JiY2Mlt7IEgFdffZW3uiaqYwYMGAAnJyfJsp9//vm+2124cEEyr1Qq0bp16xqtrS6q6sXbtRIsXF1dYWFhgZSUFMnylJQUntNORtGiRQusXbsWly5dwgsvvFDmvf0LCgoQFRWFli1b4v/+7//0nuhMxpGfn48nnnhC77qpTz/9lM8FoBpVlRGLuXPnSubd3Nwwbdq0Gq2LiKrP2toaoaGhkmW//PLLfbcrfRpUy5YtYWNjU6O11UXz5s2r0na1Eiysra3RvXt3REdH65ZptVpER0dXOOpAVNv8/PywZs0aXLp0CZMmTSrzATkFBQX47LPP0KZNG4waNYq3STYiIQRmzpyJEydOSJY/99xzGDhwoJGqIlMld8TiyJEj2Ldvn2RZZGQkGjRoUOO1EVH1hYSESOZ//fXX+/4/L31HKHM4DQoAxo8fjyZNmgD4+/f6yqpysMjOzsbp06d1d3ZKSEjA6dOndeehRUREYM2aNfjiiy9w4cIFTJkyBTk5Obq7RBEZk6+vLz799FNcvnwZkydPLjNgCCHw3XffITAwEP3798fPP/8MUXcfVF9naLVaJCcnIy4uDkeOHMHx48fx559/VuqJ0f8lhMCcOXOwatUqyfLWrVtjxYoVNVkyEQD9of/7jVisXLlSMt+kSRNMnjy5xusioprxyCOPSOYzMjJw/PjxCrcxxwu3AcDFxQXnzp3Djh07cPTo0UpvV+W7Qh0/fhz9+/fXzZdcWR8WFoYNGzZg9OjRSEtLw7x586BWq9GlSxfs3r2bzw+gOsXHxwerVq3C66+/jvfeew9r1qyR3HWoRExMDGJiYtCxY0eEh4dj7NixcHBwMELFddO5c+fw/fffIyYmBkeOHCn3mQ0+Pj5o3749OnTogJ49eyIwMBDNmjXTu0js1q1bmD59Ov73v/9JltvY2GDr1q089lQr5IxYpKamYuvWrZJl06dPN4tTJIjqq6ZNm6JDhw6SUYhffvmlwucXmdszLP7LyckJQ4YMkfUIB4Uw0a9gNRoNnJyckJmZyQu5qdKSk5Px0UcfYfXq1RX+R2rQoAHGjRuHKVOmoHPnzgassO4oLCzE5s2bsXTpUpw9e7bK+3Fzc0OnTp10z4BITk7G/v379QKeQqHAV199haeffrpaddPf+Bn5r5Jj8eyzz2Ljxo265dOnT8dHH31U5jYLFy6UPBBPpVLhxo0bcHV1rfV6iajqXn75ZSxbtkw3HxQUJHl43n9lZ2frfZF16tQpdOnSpTZLrHPk9Bd1+q5QRIbm5eWF9957D4mJiXjvvffKfb5FdnY2Vq9eDX9/f/Tp0wdfffUV8vLyDFytcRQXF+Pzzz9H69at8eyzz1YrVAB/f/MbHR2N9evXY/369fjll1/0QoVSqcSaNWsYKqhWlT6PuLCwsMx2RUVFWL16tWTZmDFjGCqI6oHS1+cdPXoUGRkZZba9ePGiZF6pVKJNmza1VZpJYLAgKoOTkxNeffVVJCQkYO3atWjbtm25bX///Xc888wzaNq0KV555RW9YVNTcuDAAXTv3h0TJ07EtWvXKmxrZWWFBg0aQKVSVes1XVxc8OOPP2LChAnV2g/R/ZQ+Faqs0yIBYOfOnXq3pQ4PD6+1uoio5jz44IOSfkmr1eo9I6lE6f68efPmsLW1rdX66jsGC6IKqFQqPP/88zh37hx+/vlnDB06tNx7O9++fRvvv/8+OnbsiK5du2LZsmUm89C9xMREjB49Gv369cMff/xRZpsmTZpg2rRp2LZtG27evIm8vDxkZWUhLy8Pubm5OH36NL755hvMnTsXgwYNuu99/q2trfHCCy/g7NmzGDx4cG28LSKJ0iMW5QWLTz/9VDIfEBCAnj171lpdRFRzbG1t0bt3b8my0nd3K2GuF25XR5Uv3iYyJ0qlEqGhoQgNDUViYiI+//xzrFmzptwnyZfcMe3ll19Gjx49MGTIEDz22GPo2rVrlZ9maQx5eXlYunQpFi1ahHv37pXZJiAgAHPmzMGQIUPKDV22trbw9/eHv7+/bpkQAlevXsWJEyeQkJCAmzdvwtLSEg0aNECnTp0QHByMhg0b1sr7IipLZYLFtWvX9O59/+KLL9ZqXURUsx5++GHs379fN89gUXMYLIhk8vHxwVtvvYU33ngD27dvx+rVqyXPbCnt+PHjOH78OBYsWIAmTZpgyJAh6NevH/r06QNvb28DVl55+fn5+PLLL7Fw4UIkJCSU2aZjx4744IMP8Mgjj1QpLCkUCrRo0QItWrSobrlENaL0qVBlXWOxdu1ayW2nnZyc8MQTT9R6bURUcx5++GG88cYbuvmzZ88iLS0NjRs3lrQz5ztCVRVPhSKqIisrK4waNQq//vorLl68iFmzZsHLy6vCbW7evIlPP/0UTz31FHx8fNCsWTM8/fTTiIqKwvHjx8sdFTAEIQT+/PNPvPXWW/D19cXEiRPLDBUuLi6IiorCqVOnMHDgwHo1AkNUkfuNWBQVFWHdunWSZc888wzs7OxqvTYiqjk9e/aEvb29ZFlMTIxkPisrS+9awnbt2tVyZfUfRyyIakCbNm2wdOlSLF68GDExMfjqq6/w/fff3/fez4mJiUhMTMQ333wD4O9Trlq1aoUWLVrA19cXzZo1Q7NmzeDl5QUnJyc4OjrC0dFR90A/hUIBhUIBrVaLgoIC5Ofn6/78789lLdNoNEhPT0dKSgrOnTuHM2fO4O7du+XWqlQq8X//9394++2373t9BFF9dL9gER0djeTkZMmySZMm1XpdRFSzrKys0LdvX+zevVu3bN++fZLRx7Nnz0pGJy0sLHgqVCUwWBDVIAsLCwwYMAADBgzAZ599hkOHDmHHjh3YsWMHrly5ct/ttVot4uPjER8fb4BqK++BBx7Axx9/bHb37ibzUhLYS5Q+FWr79u2S+R49eqBTp061XhcR1byHH35YL1j81+nTpyXzbdu25R2hKoGnQhHVEisrKzz88MP48MMPcenSJZw/fx5LlizB4MGD4ezsbOzyKmXAgAHYvXs3Dh48yFBBJq90sPjviIUQAj/++KNk/ciRIw1SFxHVvIcfflgy/9dff0nu5Fg6WLAPrByOWBAZgEKhQLt27dCuXTu88sor0Gq1uHDhAg4fPozDhw8jNjYWly9flgy7Gou3tzeGDRuG5557Dt27dzd2OUQGU9GpUKdOndK7ffSwYcMMUhcR1bwuXbrA2dlZ8nC8/fv3Y9y4cQD+/j9fuj3dH4MFkREolUp06NABHTp00J2jnZOTg3PnzuH8+fO4fv26ZEpPT4dGo5EVPBQKBVQqFaytrcv8097eHq6urnB1dYWvry/8/f3RqVMn+Pr68oJsqnF37tzBtGnTsGPHDiiVSowcORIfffQRGjRoUG77+fPnY8+ePUhMTETjxo0xfPhwvP3223ByctK1K+vf6jfffIMxY8bIrrGiYPHTTz9J1rVs2bLCB2cSUd1mYWGBhx56SHKK4759+zBu3Djcu3dP75lNDBaVw2BBVEfY29sjICAAAQEBZa7XarXIzs6GRqOBVqvVCxkqlUoSHCwsLBgQqM4YO3Ysbt26hb1796KwsBDjx4/HpEmTsGnTpjLbJycnIzk5Ge+//z7at2+P69evY/LkyUhOTsb//vc/Sdv169cjNDRUN1/VUw0rut3szz//LFn36KOP8v8XUT338MMPS4LFnj17IITA8ePHJf//lUpluX0zSTFYENUTSqVSd1coovrkwoUL2L17N44dO4YePXoAAD7++GM8+uijeP/998u8TXPHjh3x3Xff6eZbtGiBd999F+PGjUNRUZEkBDg7O8PDw6PadZY3YnHnzh0cOXJEsm7QoEHVfj0iMq5HHnlEMn/z5k2cPHkShw8flizv3Lkz+95K4sXbRERUq2JjY+Hs7KwLFQAQHBwMpVKJo0ePVno/mZmZcHR01BtZCA8Ph6urKwICArBu3boqX6tUXrD45ZdfoNVqdcttbGzw0EMPVek1iKjuaNu2LVq2bClZtn37dhw6dEiyrE+fPoYsq17jiAUREdUqtVoNNzc3yTJLS0u4uLhArVZXah/p6el4++239Z4b8dZbb+Hhhx+GnZ0d9uzZgxdffBHZ2dmYPn16ufsqeaZLiZLnzZR3KtTOnTslyx9++GHedpLIBCgUCgwbNgwffPCBbtnq1aslF3QDf99ynSqHIxZERFQls2fP1j2ksbzp4sWL1X4djUaDwYMHo3379liwYIFk3RtvvIE+ffqga9eueO211/Dqq69i6dKlFe5v0aJFcHJy0k3e3t4Ayh6xKCoq0ru+4rHHHqv2eyKiumHUqFGS+bS0NMn1FVZWVggJCTF0WfUWgwUREVXJyy+/jAsXLlQ4NW/eHB4eHkhNTZVsW1RUhDt37tz32oisrCyEhobCwcEBP/zwg96zJkoLDAzEjRs3JCMSpUVGRiIzM1M3JSUlASg7WMTHx+s9kX7IkCEV1kBE9UdgYGCFD7ocOHAgGjZsaMCK6jeeCkVERFXSuHFjNG7c+L7tgoKCkJGRgRMnTuiejbJv3z5otVoEBgaWu51Go0FISAhUKhV+/PFH2NjY3Pe1Tp8+jYYNG0KlUpXbpuQOaqWVPhWqoKAA586dkyxr0qQJmjZtet86iKh+UCgUCA8Px+TJk8tc//TTTxu4ovqNIxZERFSr2rVrh9DQUEycOBFxcXE4fPgwpk6dijFjxujuCHXz5k20bdsWcXFxAP4OFQMHDkROTg7Wrl0LjUYDtVoNtVqN4uJiAMCOHTvw+eef488//8Tly5exatUqLFy4ENOmTatSnaVHLAoLC3H+/HnJsg4dOlRp30RUd40fPx7dunXTW96jRw888cQTRqio/uKIBRER1bqvv/4aU6dOxYABA3QPyFuxYoVufWFhIeLj45GbmwsAOHnypO6OUaXv2pKQkABfX19YWVkhKioKM2fOhBACLVu2xLJlyzBx4sQq1Vg6WGi1Wpw5c0ayrH379lXaNxHVXdbW1ti8eTP69euH5ORkAICXlxe+/vrr+55+SVIMFkREVOtcXFzKfRgeAPj6+kpuE9uvX7/73jY2NDRU8mC86irrVKsTJ05I5hksiExTq1at8NdffyE2NhaFhYUIDAyEi4uLscuqdxgsiIiIANjb2+stS0xMlMwzWBCZLnt7ewQHBxu7jHqN11gQEREBsLOzu2+bdu3aGaASIqL6icGCiIgIZZ8K9V8eHh48NYKIqAIMFkRERACUSmWFoxY8DYqIqGIMFkRERP8o6zqLEgwWREQVY7AgIiL6B0csiIiqjsGCiIjoHxyxICKqOgYLIiKifzBYEBFVHYMFERHRP8o7Fcrd3R2NGzc2cDVERPULgwUREdE/GjRoUObyzp07G7gSIqL6h8GCiIjoH66urmUu9/f3N3AlRET1D4MFERHRPzw8PMpc3qVLF8MWQkRUDzFYEBER/cPT07PM5X379jVwJURE9Q+DBRER0T+8vLz0lvn5+cHHx8cI1RAR1S8MFkRERP8IDAzUW/b4448boRIiovqHwYKIiOgfPj4+eOyxx3Tzjo6OmD59uhErIiKqPyyNXQAREVFdsmXLFnzxxRdITk7G//3f/6FJkybGLomIqF6os8EiIyMDwcHBKCoqQlFREV566SVMnDjR2GUREZGJs7W1xeTJk41dBhFRvVNng4WDgwMOHjwIOzs75OTkoGPHjhgxYgQaNWpk7NKIiIiIiKiUOnuNhYWFBezs7AAA+fn5EEJACGHkqoiIiIiIqCxVDhYHDx7EY489Bi8vLygUCmzbtk2vTVRUFHx9fWFjY4PAwEDExcXJeo2MjAz4+/ujadOmeOWVV8p9IioRERERERlXlYNFTk4O/P39ERUVVeb6LVu2ICIiAvPnz8fJkyfh7++PkJAQpKam6tp06dIFHTt21JuSk5MBAM7Ozvjjjz+QkJCATZs2ISUlparlEhERERFRLaryNRaDBg3CoEGDyl2/bNkyTJw4EePHjwcArF69Grt27cK6deswe/ZsAMDp06cr9Vru7u7w9/fHoUOHMGrUqDLb5OfnIz8/XzefmZkJANBoNJV6DSIic1Ly2chTTP89BuwviIj0yekvauXi7YKCApw4cQKRkZG6ZUqlEsHBwYiNja3UPlJSUmBnZwcHBwdkZmbi4MGDmDJlSrntFy1ahDfffFNvube3t/w3QERkJrKysuDk5GTsMozq9u3bANhfEBFVpDL9Ra0Ei/T0dBQXF8Pd3V2y3N3dHRcvXqzUPq5fv45JkybpLtqeNm0aOnXqVG77yMhIRERE6OYzMjLQrFkzJCYmmn2nWds0Gg28vb2RlJQER0dHY5dj8ni8DceUj7UQAllZWfDy8jJ2KUbn4uICAOwvDMCU/0/VRTzehmPKx1pOf1FnbzcbEBBQ6VOlAEClUkGlUuktd3JyMrm/4LrK0dGRx9qAeLwNx1SPNX+J/ptS+fflhuwvDMdU/0/VVTzehmOqx7qy/UWt3G7W1dUVFhYWehdbp6SkwMPDozZekoiIiIiIjKhWgoW1tTW6d++O6Oho3TKtVovo6GgEBQXVxksSEREREZERVflUqOzsbFy+fFk3n5CQgNOnT8PFxQU+Pj6IiIhAWFgYevTogYCAACxfvhw5OTm6u0TVNpVKhfnz55d5ehTVLB5rw+LxNhwea/PAv2fD4bE2LB5vw+Gx/ptCVPFegzExMejfv7/e8rCwMGzYsAEAsHLlSixduhRqtRpdunTBihUrEBgYWK2CiYiIiIio7qlysCAiIiIiIipRK9dYEBERERGReWGwICIiIiKiamOwICIiIiKiajPJYBEVFQVfX1/Y2NggMDAQcXFxxi7JJCxYsAAKhUIytW3bVrc+Ly8P4eHhaNSoERo0aICRI0fqPcuEynbw4EE89thj8PLygkKhwLZt2yTrhRCYN28ePD09YWtri+DgYFy6dEnS5s6dOxg7diwcHR3h7OyMCRMmIDs724Dvon6437F+7rnn9P6dh4aGStrwWJsO9he1g/1F7WF/YVjsM+QxuWCxZcsWREREYP78+Th58iT8/f0REhKC1NRUY5dmEjp06IBbt27ppt9++023bubMmdixYwe2bt2KAwcOIDk5GSNGjDBitfVHTk4O/P39ERUVVeb6JUuWYMWKFVi9ejWOHj0Ke3t7hISEIC8vT9dm7NixOHfuHPbu3YudO3fi4MGDmDRpkqHeQr1xv2MNAKGhoZJ/5998841kPY+1aWB/UbvYX9QO9heGxT5DJmFiAgICRHh4uG6+uLhYeHl5iUWLFhmxKtMwf/584e/vX+a6jIwMYWVlJbZu3apbduHCBQFAxMbGGqhC0wBA/PDDD7p5rVYrPDw8xNKlS3XLMjIyhEqlEt98840QQojz588LAOLYsWO6Nj///LNQKBTi5s2bBqu9vil9rIUQIiwsTAwbNqzcbXisTQf7i9rD/sIw2F8YFvuM+zOpEYuCggKcOHECwcHBumVKpRLBwcGIjY01YmWm49KlS/Dy8kLz5s0xduxYJCYmAgBOnDiBwsJCybFv27YtfHx8eOyrKSEhAWq1WnJsnZycEBgYqDu2sbGxcHZ2Ro8ePXRtgoODoVQqcfToUYPXXN/FxMTAzc0Nbdq0wZQpU3D79m3dOh5r08D+ovaxvzA89hfGwT7jXyYVLNLT01FcXAx3d3fJcnd3d6jVaiNVZToCAwOxYcMG7N69G6tWrUJCQgL69u2LrKwsqNVqWFtbw9nZWbINj331lRy/iv5dq9VquLm5SdZbWlrCxcWFx1+m0NBQbNy4EdHR0Xjvvfdw4MABDBo0CMXFxQB4rE0F+4vaxf7CONhfGB77DClLYxdA9cegQYN0P3fu3BmBgYFo1qwZvv32W9ja2hqxMqKaM2bMGN3PnTp1QufOndGiRQvExMRgwIABRqyMqP5gf0Hmgn2GlEmNWLi6usLCwkLvzhIpKSnw8PAwUlWmy9nZGa1bt8bly5fh4eGBgoICZGRkSNrw2FdfyfGr6N+1h4eH3gWnRUVFuHPnDo9/NTVv3hyurq64fPkyAB5rU8H+wrDYXxgG+wvjM/c+w6SChbW1Nbp3747o6GjdMq1Wi+joaAQFBRmxMtOUnZ2NK1euwNPTE927d4eVlZXk2MfHxyMxMZHHvpr8/Pzg4eEhObYajQZHjx7VHdugoCBkZGTgxIkTujb79u2DVqtFYGCgwWs2JTdu3MDt27fh6ekJgMfaVLC/MCz2F4bB/sL4zL7PMPbV4zVt8+bNQqVSiQ0bNojz58+LSZMmCWdnZ6FWq41dWr338ssvi5iYGJGQkCAOHz4sgoODhaurq0hNTRVCCDF58mTh4+Mj9u3bJ44fPy6CgoJEUFCQkauuH7KyssSpU6fEqVOnBACxbNkycerUKXH9+nUhhBCLFy8Wzs7OYvv27eLMmTNi2LBhws/PT9y7d0+3j9DQUNG1a1dx9OhR8dtvv4lWrVqJp556ylhvqc6q6FhnZWWJWbNmidjYWJGQkCB+/fVX0a1bN9GqVSuRl5en2wePtWlgf1F72F/UHvYXhsU+Qx6TCxZCCPHxxx8LHx8fYW1tLQICAsSRI0eMXZJJGD16tPD09BTW1taiSZMmYvTo0eLy5cu69ffu3RMvvviiaNiwobCzsxOPP/64uHXrlhErrj/2798vAOhNYWFhQoi/byH4xhtvCHd3d6FSqcSAAQNEfHy8ZB+3b98WTz31lGjQoIFwdHQU48ePF1lZWUZ4N3VbRcc6NzdXDBw4UDRu3FhYWVmJZs2aiYkTJ+r9osljbTrYX9QO9he1h/2FYbHPkEchhBCGGx8hIiIiIiJTZFLXWBARERERkXEwWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBARERERUbUxWBDVkoULF6JXr15o3LgxbGxs0KpVK8yYMQNpaWmSdsnJyRg3bhzatGkDBwcHODs7IyAgAF988QWEEEaqnoiIDKWy/UVpX3/9NRQKBRo0aGCgSokqphD8zYWoVowcORKNGzdG27Zt4eDggAsXLmDNmjVwc3PD6dOnYW9vDwA4c+YMpk+fjj59+sDHxweFhYXYu3cvfvzxR0RGRmLhwoVGfidERFSbKttf/Fd2djbatGmDzMxM3TyRsTFYEBnQd999h1GjRuGbb77BmDFjKmz72GOPYf/+/cjMzISFhYWBKiQiorrgfv3F7NmzsW3bNvTo0QPbtm1jsKA6gadCEcm0YMECKBQKXLx4EU8++SQcHR3RqFEjvPTSS8jLy6twW19fXwBARkbGfV/H19cXubm5KCgoqIGqiYjI0Gqrv7h06RI+/PBDLFu2DJaWlrVQOVHV8F8jURU9+eST8PX1xaJFi3DkyBGsWLECd+/excaNG3VthBC4ffs2ioqKcOnSJcyePRsWFhbo16+f3v7u3buHnJwcZGdn48CBA1i/fj2CgoJga2trwHdFREQ1rab7ixkzZqB///549NFH8e233xrwnRBVjMGCqIr8/Pywfft2AEB4eDgcHR3xySefYNasWejcuTMAICUlBZ6enrptmjZtik2bNqFt27Z6+/voo48QGRmpmx8wYADWr19fy++CiIhqW032F7t27cKePXvwxx9/GO4NEFUST4UiqqLw8HDJ/LRp0wAAP/30k26Zi4sL9u7dix07duCtt96Cq6truefBPvXUU9i7dy82bdqEp59+GsDfoxhERFS/1VR/UVBQgJkzZ2Ly5Mlo37597RdOJBNHLIiqqFWrVpL5Fi1aQKlU4tq1a7pl1tbWCA4OBgAMGTIEAwYMQJ8+feDm5oYhQ4ZItm/WrBmaNWsG4O+QMWnSJAQHByM+Pp6nQxER1WM11V98+OGHSE9Px5tvvmmw2onk4IgFUQ1RKBT3bdO7d294enri66+/vm/bUaNGISkpCQcPHqyJ8oiIqI6oSn+RmZmJd955BxMnToRGo8G1a9dw7do1ZGdnQwiBa9euITU1tbZLJ6oQgwVRFV26dEkyf/nyZWi1Wt2dPMqTl5enu+94RUpOg6pMWyIiqrtqor+4e/cusrOzsWTJEvj5+emm7777Drm5ufDz88OkSZNq6y0QVQpPhSKqoqioKAwcOFA3//HHHwMABg0ahJycHCgUCtjZ2Um2+e6773D37l306NFDtywtLQ2NGzfW2//atWuhUCjQrVu3WnoHRERkCDXRX7i5ueGHH37Q2/eKFSsQGxuLb775RnLxN5ExMFgQVVFCQgKGDh2K0NBQxMbG4quvvsLTTz8Nf39/nD59GsHBwRg9ejTatm0LpVKJ48eP46uvvoKvry9eeukl3X7effddHD58GKGhofDx8cGdO3fw3Xff4dixY5g2bRpatmxpxHdJRETVVRP9hZ2dHYYPH663723btiEuLq7MdUSGxmBBVEVbtmzBvHnzMHv2bFhaWmLq1KlYunQpgL9vEzhy5Ejs27cPX3zxBQoLC9GsWTNMnToVc+bMQaNGjXT7GTx4MK5cuYJ169YhLS0NNjY26Ny5M9avX4+wsDBjvT0iIqohNdVfENV1CiGEMHYRRPXJggUL8OabbyItLQ2urq7GLoeIiOoo9hdkbnjxNhERERERVRuDBRERERERVRuDBRERERERVRuvsSAiIiIiomqTPWJx8+ZNjBs3Do0aNYKtrS06deqE48eP69YLITBv3jx4enrC1tYWwcHBeg+GuXPnDsaOHQtHR0c4OztjwoQJyM7OlrQ5c+YM+vbtCxsbG3h7e2PJkiVVfItERERERFTbZAWLu3fvok+fPrCyssLPP/+M8+fP44MPPkDDhg11bZYsWYIVK1Zg9erVOHr0KOzt7RESEoK8vDxdm7Fjx+LcuXPYu3cvdu7ciYMHD0qeFqnRaDBw4EA0a9YMJ06cwNKlS7FgwQJ89tlnNfCWiYiIiIiopsk6FWr27Nk4fPgwDh06VOZ6IQS8vLzw8ssvY9asWQCAzMxMuLu7Y8OGDRgzZgwuXLiA9u3b49ixY7qnSe7evRuPPvoobty4AS8vL6xatQpz5syBWq2GtbW17rW3bduGixcvVqpWrVaL5ORkODg4QKFQVPYtEhGZBSEEsrKy4OXlBaXSvC+3Y39BRFQ+Wf2FkKFdu3ZixowZYtSoUaJx48aiS5cu4rPPPtOtv3LligAgTp06JdnuwQcfFNOnTxdCCLF27Vrh7OwsWV9YWCgsLCzE999/L4QQ4plnnhHDhg2TtNm3b58AIO7cuVOpWpOSkgQATpw4ceJUwZSUlCSnGzBJ7C84ceLE6f5TZfoLWU/evnr1KlatWoWIiAi8/vrrOHbsGKZPnw5ra2uEhYVBrVYDANzd3SXbubu769ap1Wq4ublJ1ltaWsLFxUXSxs/PT28fJev+e+pVifz8fOTn5+vmxT8DMUlJSXB0dJTzNomITJ5Go4G3tzccHByMXYrRlRwD9hdERPrk9BeygoVWq0WPHj2wcOFCAEDXrl3x559/YvXq1QgLC6tatTVk0aJFePPNN/WWOzo6sqMgIioHT/359xiwvyAiKl9l+gtZJ9Z6enqiffv2kmXt2rVDYmIiAMDDwwMAkJKSImmTkpKiW+fh4YHU1FTJ+qKiIty5c0fSpqx9/Pc1SouMjERmZqZuSkpKkvPWiIiIiIioGmQFiz59+iA+Pl6y7K+//kKzZs0AAH5+fvDw8EB0dLRuvUajwdGjRxEUFAQACAoKQkZGBk6cOKFrs2/fPmi1WgQGBuraHDx4EIWFhbo2e/fuRZs2bco8DQoAVCqV7tsmfutERERERGRYsoLFzJkzceTIESxcuBCXL1/Gpk2b8NlnnyE8PBzA30MkM2bMwDvvvIMff/wRZ8+exbPPPgsvLy8MHz4cwN8jHKGhoZg4cSLi4uJw+PBhTJ06FWPGjIGXlxcA4Omnn4a1tTUmTJiAc+fOYcuWLfjoo48QEREh+w1euXJF9jZERFS/REVFwdfXFzY2NggMDERcXJyxSyIiMjuyn7y9c+dOREZG4tKlS/Dz80NERAQmTpyoWy+EwPz58/HZZ58hIyMDDzzwAD755BO0bt1a1+bOnTuYOnUqduzYAaVSiZEjR2LFihVo0KCBrs2ZM2cQHh6OY8eOwdXVFdOmTcNrr71W6To1Gg2cnJzwwAMPlHt7XCIic1XyGZmZmVnvR3i3bNmCZ599FqtXr0ZgYCCWL1+OrVu3Ij4+Xu9mIWUxpWNBRH//LpqXl4c7d+7gxo0buH79um5KSkpCUlISbty4gczMTBQUFMDe3h5eXl7o0KEDHnzwQQwcOBDt27fnNWj/kPMZKTtY1BclB8HHxwfXr183djlERHWKKf0yHRgYiJ49e2LlypUA/r7RiLe3N6ZNm4bZs2ffd/uSYzFnzhy88847sl9f/HOP99u3b0Oj0SAvLw/5+fnIy8uT/KzVaqHVaiGEqPDn6iwz9H7++yuEQqHQ/SJW+ufKLqvt9ab2miX//kr+Hir6WU7bmtjufvsoLi6GVqtFcXGx5Of7/VnWVLIuLy8Pd+/eRUZGBgoKClAdLVq0wPDhwzF8+HAEBQXBwsJCsj4rKwsnT57EsWPHcPz4cVy9ehXp6enIy8uDtbU1rKysYGtrCzs7O71JpVLVeGgpOb4lU8n/TzlTYWEhcnNzkZubC09PTwwZMgSPPvoo1q1bh9dee43BwsnJCUqlEvn5+bC0lHUDLCIik2YqwaKgoAB2dnb43//+pzvlFgDCwsKQkZGB7du333cfJcfC0dERmZmZ5bYTQiAuLg779+/HqVOnkJiYiMTERKSmpqKoqKgm3g4R1UGNGzdGv3794OTkhNTUVPz111+Ij4+Hif4KXa7K9Bcm/9u2VqtFVlZWuRd9ExFR/ZWeno7i4uIyn5908eLFMrcp/dwjjUYD4O9vIIUQet8karVabN68GUuWLMEff/xRw++AiOq6tLQ0bN261dhl1AsmHywAICcnh8GCiIgAlP/cIyEE7t27Bzs7O92y+Ph4hIWF4ejRo4YskYhqiJWVFXx8fNCsWTP4+PjAx8cH3t7eaNq0KRo3bgwrKytkZmbi6tWr+O233/DLL7/wkQXVYBbBIjc319glEBFRLXB1dYWFhUWFz08qLTIyUnKXwZKnygJ/j1qUBItDhw7hscceq/D0qNIUCgVsbW2hUqlgY2Ojm6ytrWFpaQmFQgGlUgmlUqn7ubLL6uo2gPzz66uyTXXXm+JrVuYaDTnXcxhyOwsLC1hYWECpVMr6s6LJ2toaDRs2hLOzs25ycXGBUnn/m6D27dsXYWFhEELg1KlT2LZtG7Zt24azZ8+Wu42lpSU6deqEnj17okuXLvD09ISdnR0KCwtRUFCAvLw83TULOTk5up//O2Jak0qO73//r8qZLC0tYW9vDyEEdu7ciQMHDuj2W9nTvswiWOTk5Bi7BCIiqgXW1tbo3r07oqOjdddYaLVaREdHY+rUqWVuo1KpoFKpylxXcsFnQkIChg0bVmaoaNGiBUJCQtC+fXt4e3vDy8sLrq6ucHFxgYODQ41flElEhqNQKNCtWzd069YNb731Fq5evYqffvoJN2/eRHZ2NhwdHdGiRQt06NAB/v7+sLGxMXbJtWLWrFm4ePEirly5ghYtWqBdu3aV2s4sgkVtJUMiIjK+iIgIhIWFoUePHggICMDy5cuRk5OD8ePHy95XyYNZZ82ahbt370rWtW7dGu+99x6GDh1aqW9Aiaj+a968eblfUpi6tm3bom3btrrr0CrDLILFf5/gTUREpmX06NFIS0vDvHnzoFar0aVLF+zevVvvgu7KKCoqwrVr1/D9999Llj/66KPYunWr5PoLIiKSYrAgIqJ6b+rUqTXyrWJhYSH2798vWebk5IRNmzYxVBAR3YdZjOVW9yEpRERkHoqKinDo0CHJskcffRROTk5GqoiIqP4wi2DBEQsiIqqMwsJCxMfHS5b16dPHSNUQEdUvDBZERET/KCoqwpUrVyTLWrZsaaRqiIjqF7MIFjwVioiIKiM1NVXvblAtWrQwUjVERPWLWQQLjlgQEVFlXL9+XW+Zj4+PESohIqp/GCyIiIj+kZqaKpl3cnKCtbW1kaohIqpfzCJY8FQoIiKqjLS0NMl8o0aNjFQJEVH9YxbBgiMWRERUGenp6ZJ5FxcXI1VCRFT/MFgQERH9g8GCiKjqzCJY8FQoIiKqjNKnQjFYEBFVnlkEC45YEBFRZZQesWjYsKGRKiEiqn/MIlgUFRUZuwQiIqoHsrKyJPOOjo5GqoSIqP4xi2BRXFxs7BKIiKgeuHfvnmTezs7OSJUQEdU/ZhEsOGJBRERVwWBBRFR5ZhEsOGJBRERVwWBBRFR5ZhEsOGJBRERVYW9vb+wSiIjqDbMIFhyxICKiquCIBRFR5ZlFsOCIBRERVQWDBRFR5ZlFsOCIBRERVQWDBRFR5TFYEBERlYPBgoio8swiWPBUKCIiqgoGCyKiyjOLYMERCyIiqgreFYqIqPLMIlhwxIKIiKrCxsbG2CUQEdUbZhEsOGJBRERVoVKpjF0CEVG9YRbBgiMWRERUFdbW1sYugYio3jCLYMERCyIiqgoGCyKiymOwICIiKoeVlZWxSyAiqjfMIljwVCgiIpLL0tISSqVZdJNERDXCLD4xOWJBRERy8TQoIiJ5zCJYcMSCiIjkYrAgIpLHLIIFRyyIiEguBgsiInnMIlhwxIKIiORisCAikscsggVHLIiISC4GCyIieRgsiIiIysBgQUQkj1kEC54KRUREcvEZFkRE8phFsOCIBRERycURCyIiecwiWHDEgoiI5GKwICKSxyyCBUcsiIhILgYLIiJ5qhUsFi9eDIVCgRkzZuiW5eXlITw8HI0aNUKDBg0wcuRIpKSkSLZLTEzE4MGDYWdnBzc3N7zyyit6owoxMTHo1q0bVCoVWrZsiQ0bNlS5To5YEBGRXAwWRETyVDlYHDt2DJ9++ik6d+4sWT5z5kzs2LEDW7duxYEDB5CcnIwRI0bo1hcXF2Pw4MEoKCjA77//ji+++AIbNmzAvHnzdG0SEhIwePBg9O/fH6dPn8aMGTPwwgsv4JdffqlSrRyxICIiuRgsiIjkqVKwyM7OxtixY7FmzRo0bNhQtzwzMxNr167FsmXL8PDDD6N79+5Yv349fv/9dxw5cgQAsGfPHpw/fx5fffUVunTpgkGDBuHtt99GVFQUCgoKAACrV6+Gn58fPvjgA7Rr1w5Tp07FqFGj8OGHH1bpTTJYEBGRXAwWRETyVClYhIeHY/DgwQgODpYsP3HiBAoLCyXL27ZtCx8fH8TGxgIAYmNj0alTJ7i7u+vahISEQKPR4Ny5c7o2pfcdEhKi24dcPBWKiIjkYrAgIpLHUu4GmzdvxsmTJ3Hs2DG9dWq1GtbW1nB2dpYsd3d3h1qt1rX5b6goWV+yrqI2Go0G9+7dg62trd5r5+fnIz8/Xzev0Wh0P3PEgoiI5GKwICKSR9aIRVJSEl566SV8/fXXsLGxqa2aqmTRokVwcnLSTd7e3rp1HLEgIiK5GCyIiOSRFSxOnDiB1NRUdOvWDZaWlrC0tMSBAwewYsUKWFpawt3dHQUFBcjIyJBsl5KSAg8PDwCAh4eH3l2iSubv18bR0bHM0QoAiIyMRGZmpm5KSkrSreOIBRERycUnbxMRySMrWAwYMABnz57F6dOndVOPHj0wduxY3c9WVlaIjo7WbRMfH4/ExEQEBQUBAIKCgnD27Fmkpqbq2uzduxeOjo5o3769rs1/91HSpmQfZVGpVHB0dJRMJThiQUREcllayj5bmIjIrMn61HRwcEDHjh0ly+zt7dGoUSPd8gkTJiAiIgIuLi5wdHTEtGnTEBQUhF69egEABg4ciPbt2+OZZ57BkiVLoFarMXfuXISHh0OlUgEAJk+ejJUrV+LVV1/F888/j3379uHbb7/Frl27qvQmOWJBRERyMVgQEclT40/e/vDDDzFkyBCMHDkSDz74IDw8PPD999/r1ltYWGDnzp2wsLBAUFAQxo0bh2effRZvvfWWro2fnx927dqFvXv3wt/fHx988AE+//xzhISEVKkmBgsiItPk6+sLhUIhmRYvXlwj+7awsKiR/RARmQuFEEIYu4jaoNFo4OTkpJvXarVQKBRGrIiIqO4o+YzMzMyUnDpa3/j6+mLChAmYOHGibpmDgwPs7e0rvY/S/UWJ1157rcZCChFRfSWnvzCbcd7i4mIOaxMRmSAHBwfdzT9qEkcsiIjkqfFToeoqng5FRGSaFi9ejEaNGqFr165YunTpfW/YkZ+fD41GI5nKwi+jiIjkMZtPzaKiIt3F4UREZBqmT5+Obt26wcXFBb///jsiIyNx69YtLFu2rNxtFi1ahDfffPO+++aIBRGRPByxICKiOmX27Nl6F2SXni5evAgAiIiIQL9+/dC5c2dMnjwZH3zwAT7++GPk5+eXu/+Knnv0XxyxICKSx2w+NfksCyKi+uHll1/Gc889V2Gb5s2bl7k8MDAQRUVFuHbtGtq0aVNmG5VKVakRbAYLIiJ5zOZTkyMWRET1Q+PGjdG4ceMqbXv69GkolUq4ublVuw6eCkVEJI/ZBAuOWBARmZbY2FgcPXoU/fv3h4ODA2JjYzFz5kyMGzcODRs2rPb+OWJBRCSP2XxqMlgQEZkWlUqFzZs3Y8GCBcjPz4efnx9mzpyJiIiIGtk/RyyIiOQxm2DBU6GIiExLt27dcOTIkVrbP0csiIjkMZu7QnHEgoiI5GCwICKSx2yCBUcsiIhIDp4KRUQkj9kEC45YEBGRHByxICKSh8GCiIioDByxICKSx2yCBU+FIiIiOThiQUQkj9kEC45YEBGRHAwWRETymE2w4IgFERHJwVOhiIjkMZtgwRELIiKSgyMWRETyMFgQERGVgSMWRETymE2w4KlQREQkB0csiIjkMZtgwRELIiKSgyMWRETymE2w4IgFERHJwRELIiJ5zCZYcMSCiIjkYLAgIpKHwYKIiKgMPBWKiEgeswkWPBWKiIjk4IgFEZE8ZhMsOGJBRERycMSCiEgeswkWHLEgIiI5OGJBRCSP2QQLjlgQEZEcDBZERPKYTbDgiAUREcnBU6GIiOQxm2DBEQsiIpKDIxZERPIwWBAREZWBIxZERPKYTbDgqVBERCQHRyyIiOQxm2DBEQsiIpKDwYKISB6zCRYcsSAiIjl4KhQRkTxmEyw4YkFERHJwxIKISB4GCyIiojJwxIKISB6zCRY8FYqIiOTgiAURkTxmEyw4YkFERHIwWBARyWM2wYIjFkREJIdSaTZdJBFRjTCbT02OWBARUWVZWFhAoVAYuwwionqFwYKIiKgUXrhNRCSf2QQLngpFRESVxesriIjkM5tgwRELIiKqLI5YEBHJZzbBgiMWRERUWRyxICKSz2yCBUcsiIioshgsiIjkY7AgIiIqhadCERHJZzbBgqdCERFRZXHEgohIPlnBYtGiRejZsyccHBzg5uaG4cOHIz4+XtImLy8P4eHhaNSoERo0aICRI0ciJSVF0iYxMRGDBw+GnZ0d3Nzc8Morr+iNKMTExKBbt25QqVRo2bIlNmzYULV3+A+OWBARUWVxxIKISD5ZweLAgQMIDw/HkSNHsHfvXhQWFmLgwIHIycnRtZk5cyZ27NiBrVu34sCBA0hOTsaIESN064uLizF48GAUFBTg999/xxdffIENGzZg3rx5ujYJCQkYPHgw+vfvj9OnT2PGjBl44YUX8Msvv1T5jXLEgoiIKosjFkRE8imEEKKqG6elpcHNzQ0HDhzAgw8+iMzMTDRu3BibNm3CqFGjAAAXL15Eu3btEBsbi169euHnn3/GkCFDkJycDHd3dwDA6tWr8dprryEtLQ3W1tZ47bXXsGvXLvz555+61xozZgwyMjKwe/fuStWm0Wjg5OSkmx82bBi2bdtW1bdKRGRSSj4jMzMz4ejoaOxyjKp0fwEAbdq0wcWLF41UERFR3SGnv6jWNRaZmZkAABcXFwDAiRMnUFhYiODgYF2btm3bwsfHB7GxsQCA2NhYdOrUSRcqACAkJAQajQbnzp3TtfnvPkralOyjKngqFBERVRZPhSIikq/KY71arRYzZsxAnz590LFjRwCAWq2GtbU1nJ2dJW3d3d2hVqt1bf4bKkrWl6yrqI1Go8G9e/dga2urV09+fj7y8/N18xqNRrKep0IREVFl8VQoIiL5qjxiER4ejj///BObN2+uyXqqbNGiRXByctJN3t7ekvUcsSAiosriiAURkXxVChZTp07Fzp07sX//fjRt2lS33MPDAwUFBcjIyJC0T0lJgYeHh65N6btElczfr42jo2OZoxUAEBkZiczMTN2UlJQkWc8RCyIiqiyOWBARyScrWAghMHXqVPzwww/Yt28f/Pz8JOu7d+8OKysrREdH65bFx8cjMTERQUFBAICgoCCcPXsWqampujZ79+6Fo6Mj2rdvr2vz332UtCnZR1lUKhUcHR0l039xxIKIiCqLwYKISD5Zn5zh4eHYtGkTtm/fDgcHB901EU5OTrC1tYWTkxMmTJiAiIgIuLi4wNHREdOmTUNQUBB69eoFABg4cCDat2+PZ555BkuWLIFarcbcuXMRHh4OlUoFAJg8eTJWrlyJV199Fc8//zz27duHb7/9Frt27aryG2WwICKiyuKpUERE8skasVi1ahUyMzPRr18/eHp66qYtW7bo2nz44YcYMmQIRo4ciQcffBAeHh74/vvvdestLCywc+dOWFhYICgoCOPGjcOzzz6Lt956S9fGz88Pu3btwt69e+Hv748PPvgAn3/+OUJCQqr8RnkqFBFR/fLuu++id+/esLOz07spSInKPHC1KjhiQUQkn6xPzso88sLGxgZRUVGIiooqt02zZs3w008/Vbiffv364dSpU3LKqxBHLIiI6peCggI88cQTCAoKwtq1a/XWlzxw1cPDA7///jtu3bqFZ599FlZWVli4cGG1XpsjFkRE8lXrORb1CUcsiIjqlzfffBMzZ85Ep06dyly/Z88enD9/Hl999RW6dOmCQYMG4e2330ZUVBQKCgqq9docsSAiks9sggVHLIiITEtlHrhaVQwWRETymc0nJ4MFEZFpqcwDV8tyvweqAjwVioioKsxmxIKnQhERGd/s2bOhUCgqnC5evFirNdzvgaoARyyIiKrCbD45CwsLjV0CEZHZe/nll/Hcc89V2KZ58+aV2peHhwfi4uIky0o/cLUskZGRiIiI0M1rNBq9cMERCyIi+RgsiIjIYBo3bozGjRvXyL6CgoLw7rvvIjU1FW5ubgD0H7haFpVKpXtuUnk4YkFEJJ/ZfHJW9w4hRERkWImJibhz5w4SExNRXFyM06dPAwBatmyJBg0aVOqBq1XFYEFEJJ/ZfHIyWBAR1S/z5s3DF198oZvv2rUrAGD//v3o16+f7oGrU6ZMQVBQEOzt7REWFiZ54GpV8VQoIiL5GCyIiKhO2rBhAzZs2FBhm8o8cLUqOGJBRCSf2dwVisGCiIgqiyMWRETymU2w0Gq1vOUsERFVCkcsiIjkM5tgAXDUgoiIKofBgohIPgYLIiKiUngqFBGRfAwWREREpXDEgohIPgYLIiKiUhgsiIjkY7AgIiIqhadCERHJx2BBRERUCkcsiIjkY7AgIiIqhSMWRETyMVgQERGVwhELIiL5GCyIiIhKYbAgIpKPwYKIiKgUngpFRCQfgwUREVEpHLEgIpKPwYKIiKgUBgsiIvkYLIiIiErhqVBERPIxWBAREZXCEQsiIvkYLIiIiErhiAURkXxmFSzu3btn7BKIiKge4IgFEZF8ZhUscnNzjV0CERHVAwwWRETymVWwyMnJMXYJRERUD/BUKCIi+cwqWHDEgoiIKoMjFkRE8plVsOCIBRERVQaDBRGRfAwWREREpfBUKCIi+RgsiIiISuGIBRGRfGYVLHiNBRERVQZHLIiI5DOrYMERCyIiqgyOWBARycdgQUREVAqDBRGRfGYVLHgqFBERVQZPhSIiks+sggVHLIiIqDI4YkFEJJ9ZBYuMjAxjl0BERPUAgwURkXxmFSzu3LmD4uJiY5dBRER1HE+FIiKSz6yChVar5agFERHdl7W1tbFLICKqd8wqWABAenq6sUsgIqI6jsGCiEg+kw8W9vb2knkGCyIiuh8GCyIi+Uw+WDRq1Egyr1arjVQJERHVFyqVytglEBHVOyYfLLy9vSXzly9fNlIlRERUX3DEgohIPpMPFi1atJDM//XXX0aqhIiI6gsGCyIi+Uw+WLRu3Voyf/jwYSNVQkRE9YWVlZWxSyAiqnfqdLCIioqCr68vbGxsEBgYiLi4ONn76NOnj2Q+Pj4eW7duhRCipsokIiITo1AojF0CEVG9U2cfLbplyxZERERg9erVCAwMxPLlyxESEoL4+Hi4ublVej/+/v5wd3dHSkqKbtmTTz4Jb29vdO/eHc2aNUOjRo3g5OQElUoFa2trWFlZwdraGtbW1lAqlVAqlVAoFJI/y1pW0Z8lnVRt/mmI16jMn+aOx+FfPBb/quhY3O841ca2Go2mwu2IiIjkUog6+tV9YGAgevbsiZUrVwL4++F23t7emDZtGmbPnn3f7TUaDZycnJCZmYm1a9ciIiKitksmIqp3MjMz4ejoaOwyjKqkv/ivOto1EhEZ3H9/p75ff1EnT4UqKCjAiRMnEBwcrFumVCoRHByM2NjYMrfJz8+HRqORTCWmT5+OkSNH1nrdRERERETmqk4Gi/T0dBQXF8Pd3V2y3N3dvdznUCxatAhOTk666b+3mbWwsMC3336LTz/9FC1btqzV2omIqH4bPny4sUsgIqqX6uw1FnJFRkZKTnfSaDSScKFUKjFp0iRMnDgRf/75J06cOIELFy4gLS0Nt2/fhkajQWFhIQoKCnR/FhQUQKvVQqvVQghR5p8VrftvG+DfoXW5fxIRkWH4+PhgwYIFxi6DiKheqpPBwtXVFRYWFpILrgEgJSUFHh4eZW6jUqkq9aRUhUKBTp06oVOnTjVSqyFVNZiUFVRqal+mFoL4PuoWc3gf93uPtbWtRqNBhw4dKtze3CQnJ8PDw4M3HSAiqqI6GSysra3RvXt3REdH64aktVotoqOjMXXqVOMWZ0S8+xIR1RTeFUqfvb09P1+JiKqhTgYLAIiIiEBYWBh69OiBgIAALF++HDk5ORg/fryxSyMiIiIiolLqbLAYPXo00tLSMG/ePKjVanTp0gW7d+/Wu6CbiIiIiIiMr84GCwCYOnWqWZ/6RERERERUX9TpYFEdJRct8jxiIiJ9JZ+NpnKBfHWwvyAiKp+c/sJkg8Xt27cBQHLLWSIiksrKytJ76rS5YX9BRHR/lekvTDZYuLi4AAASExPNvtOsbSXPDElKSrrvo96p+ni8DceUj7UQAllZWfDy8jJ2KUbH/sJwTPn/VF3E4204pnys5fQXJhsslMq/Hyru5ORkcn/BdZWjoyOPtQHxeBuOqR5r/hL9N/YXhmeq/6fqKh5vwzHVY13Z/kJZy3UQEREREZEZYLAgIiIiIqJqM9lgoVKpMH/+fKhUKmOXYvJ4rA2Lx9tweKzNA/+eDYfH2rB4vA2Hx/pvCsF7DRIRERERUTWZ7IgFEREREREZDoMFERERERFVG4MFERERERFVG4MFERERERFVm0kGi6ioKPj6+sLGxgaBgYGIi4szdkkmYcGCBVAoFJKpbdu2uvV5eXkIDw9Ho0aN0KBBA4wcORIpKSlGrLj+OHjwIB577DF4eXlBoVBg27ZtkvVCCMybNw+enp6wtbVFcHAwLl26JGlz584djB07Fo6OjnB2dsaECROQnZ1twHdRP9zvWD/33HN6/85DQ0MlbXisTQf7i9rB/qL2sL8wLPYZ8phcsNiyZQsiIiIwf/58nDx5Ev7+/ggJCUFqaqqxSzMJHTp0wK1bt3TTb7/9pls3c+ZM7NixA1u3bsWBAweQnJyMESNGGLHa+iMnJwf+/v6Iiooqc/2SJUuwYsUKrF69GkePHoW9vT1CQkKQl5enazN27FicO3cOe/fuxc6dO3Hw4EFMmjTJUG+h3rjfsQaA0NBQyb/zb775RrKex9o0sL+oXewvagf7C8NinyGTMDEBAQEiPDxcN19cXCy8vLzEokWLjFiVaZg/f77w9/cvc11GRoawsrISW7du1S27cOGCACBiY2MNVKFpACB++OEH3bxWqxUeHh5i6dKlumUZGRlCpVKJb775RgghxPnz5wUAcezYMV2bn3/+WSgUCnHz5k2D1V7flD7WQggRFhYmhg0bVu42PNamg/1F7WF/YRjsLwyLfcb9mdSIRUFBAU6cOIHg4GDdMqVSieDgYMTGxhqxMtNx6dIleHl5oXnz5hg7diwSExMBACdOnEBhYaHk2Ldt2xY+Pj489tWUkJAAtVotObZOTk4IDAzUHdvY2Fg4OzujR48eujbBwcFQKpU4evSowWuu72JiYuDm5oY2bdpgypQpuH37tm4dj7VpYH9R+9hfGB77C+Ngn/EvkwoW6enpKC4uhru7u2S5u7s71Gq1kaoyHYGBgdiwYQN2796NVatWISEhAX379kVWVhbUajWsra3h7Ows2YbHvvpKjl9F/67VajXc3Nwk6y0tLeHi4sLjL1NoaCg2btyI6OhovPfeezhw4AAGDRqE4uJiADzWpoL9Re1if2Ec7C8Mj32GlKWxC6D6Y9CgQbqfO3fujMDAQDRr1gzffvstbG1tjVgZUc0ZM2aM7udOnTqhc+fOaNGiBWJiYjBgwAAjVkZUf7C/IHPBPkPKpEYsXF1dYWFhoXdniZSUFHh4eBipKtPl7OyM1q1b4/Lly/Dw8EBBQQEyMjIkbXjsq6/k+FX079rDw0PvgtOioiLcuXOHx7+amjdvDldXV1y+fBkAj7WpYH9hWOwvDIP9hfGZe59hUsHC2toa3bt3R3R0tG6ZVqtFdHQ0goKCjFiZacrOzsaVK1fg6emJ7t27w8rKSnLs4+PjkZiYyGNfTX5+fvDw8JAcW41Gg6NHj+qObVBQEDIyMnDixAldm3379kGr1SIwMNDgNZuSGzdu4Pbt2/D09ATAY20q2F8YFvsLw2B/YXxm32cY++rxmrZ582ahUqnEhg0bxPnz58WkSZOEs7OzUKvVxi6t3nv55ZdFTEyMSEhIEIcPHxbBwcHC1dVVpKamCiGEmDx5svDx8RH79u0Tx48fF0FBQSIoKMjIVdcPWVlZ4tSpU+LUqVMCgFi2bJk4deqUuH79uhBCiMWLFwtnZ2exfft2cebMGTFs2DDh5+cn7t27p9tHaGio6Nq1qzh69Kj47bffRKtWrcRTTz1lrLdUZ1V0rLOyssSsWbNEbGysSEhIEL/++qvo1q2baNWqlcjLy9Ptg8faNLC/qD3sL2oP+wvDYp8hj8kFCyGE+Pjjj4WPj4+wtrYWAQEB4siRI8YuySSMHj1aeHp6Cmtra9GkSRMxevRocfnyZd36e/fuiRdffFE0bNhQ2NnZiccff1zcunXLiBXXH/v37xcA9KawsDAhxN+3EHzjjTeEu7u7UKlUYsCAASI+Pl6yj9u3b4unnnpKNGjQQDg6Oorx48eLrKwsI7ybuq2iY52bmysGDhwoGjduLKysrESzZs3ExIkT9X7R5LE2Hewvagf7i9rD/sKw2GfIoxBCCMONjxARERERkSkyqWssiIiIiIjIOBgsiIiIiIio2hgsiIiIiIio2hgsiIiIiIio2hgsiIiIiIio2hgsiIiIiIio2hgsiIiIiIio2hgsiIiIiIio2hgsiIiIiIio2hgsiIiIiIio2hgsiIiIiIio2hgsiIiIiIio2v4fQryFF+M/GRAAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# in the paper (Iwabuchi et al. 2009) water cloud at wl = 500 nm and reff = 8 um\n", "\n", "# wc available in smartg auxdata: https://github.com/hygeos/smartg\n", "# Follow smartg README to download auxdata, \n", "# then create environemnt variable 'SMARTG_DIR_AUXDATA' where auxdata have been downloaded\n", "# wc_path = Path(os.environ['SMARTG_DIR_AUXDATA']) / Path('clouds/wc_sol.nc')\n", "# ds = xr.open_dataset(wc_path)\n", "# pha_exact = ds['phase'].interp(reff=8, wav=500, method='linear').values[0, :]\n", "\n", "# wc at the correct wavelength and effective radius avaible in pytrunc/data\n", "ds = xr.open_dataset(DIR_ROOT / 'pytrunc' / 'data' / 'wc_wl500_reff8.nc')\n", "\n", "theta = ds['theta'].values\n", "pha_ex = ds[\"phase\"].values\n", "\n", "method = 'lobatto'\n", "# method = 'trapezoid'\n", "# method = 'simpson' # use pair number for theta\n", "\n", "INTEGRATORS = {\n", " \"simpson\": simpson,\n", " \"trapezoid\": trapezoid,\n", " \"lobatto\": integrate_lobatto\n", " }\n", "integrate_m = INTEGRATORS[method]\n", "\n", "# theta = np.linspace(0., 180., 18001)\n", "# pha_ex = np.interp(theta, ds.theta.values, pha_ex)\n", "\n", "# theta, _ = quadrature_lobatto(0., 180., 7201)\n", "# pha_ex = np.interp(theta, ds.theta.values, pha_ex)\n", "\n", "mu = np.cos(np.deg2rad(theta))\n", "idmu = np.argsort(mu)\n", "\n", "\n", "# renormalize depending on the chosen integration method\n", "if method == 'lobatto':\n", " sin_th = np.sin(np.deg2rad(theta))\n", " pha_ex = (2. * pha_ex) / integrate_m(pha_ex[0,:]*sin_th, np.deg2rad(theta))\n", "else:\n", " pha_ex = (2. * pha_ex) / integrate_m(pha_ex[0,idmu], mu[idmu])\n", "\n", "\n", "fig, axs = plt.subplots(2, 2, figsize=(8,5))\n", "axs = axs.ravel()\n", "axs[0].plot(theta, pha_ex[0,:], 'k-', lw=3, label='p11 exact')\n", "axs[0].set_yscale('log')\n", "axs[0].set_ylim(1e-3, 1e4)\n", "axs[0].set_xlim(0, 180)\n", "axs[0].set_title('p11')\n", "axs[1].plot(theta, pha_ex[1,:], 'k-', lw=3, label='p21 exact')\n", "axs[1].set_xlim(0, 180)\n", "axs[1].set_title('p21')\n", "axs[2].plot(theta, pha_ex[2,:], 'k-', lw=3, label='p33 exact')\n", "axs[2].set_xlim(0, 180)\n", "axs[2].set_title('p33')\n", "axs[3].plot(theta, pha_ex[3,:], 'k-', lw=3, label='p34 exact')\n", "axs[3].set_xlim(0, 180)\n", "axs[3].set_title('p34')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "67a1c81d", "metadata": {}, "source": [ "#### Truncated phase matrix using the GT method\n", "- Iwabuchi 2009" ] }, { "cell_type": "code", "execution_count": 3, "id": "e3513d94", "metadata": { "execution": { "iopub.execute_input": "2026-02-10T07:54:52.642200Z", "iopub.status.busy": "2026-02-10T07:54:52.642008Z", "iopub.status.idle": "2026-02-10T07:54:59.608109Z", "shell.execute_reply": "2026-02-10T07:54:59.607231Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "f= 0.43294807007378455\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the f value equal to chi_20\n", "m_max = 20\n", "chi = calc_moments(pha_ex[0,:], theta, m_max=m_max, normalize=True)\n", "f = chi[m_max]\n", "print('f=', f)\n", "\n", "ds_gt = gt_phase_approx(pha_ex[0,:], theta, f, method=method, \n", " phase_moments_1=chi[1], th_tol=20.)\n", "\n", "# Eq.5 in Waquet and Herman, 2019\n", "pha_tr = np.zeros_like(pha_ex)\n", "pha_tr[0,:] = ds_gt['phase_tr'].values\n", "beta = (pha_tr[0,:] / pha_ex[0,:])\n", "for i in range(1, pha_ex.shape[0]):\n", " pha_tr[i,:] = pha_ex[i,:] * beta\n", "\n", "fig, axs = plt.subplots(2, 2, figsize=(8,5))\n", "axs = axs.ravel()\n", "axs[0].plot(theta, pha_ex[0,:], 'k-', lw=3, label='exact')\n", "axs[0].plot(theta, pha_tr[0,:], 'r--', lw=2, label='GT')\n", "axs[0].set_yscale('log')\n", "axs[0].legend()\n", "axs[0].set_ylim(1e-3, 1e4)\n", "axs[0].set_xlim(0, 180)\n", "axs[0].set_title('p11')\n", "axs[1].plot(theta, pha_ex[1,:], 'k-', lw=3)\n", "axs[1].plot(theta, pha_tr[1,:], 'r--', lw=2)\n", "axs[1].set_xlim(0, 180)\n", "axs[1].set_title('p21')\n", "axs[2].plot(theta, pha_ex[2,:], 'k-', lw=3)\n", "axs[2].plot(theta, pha_tr[2,:], 'r--', lw=2)\n", "# axs[2].set_yscale('log')\n", "# axs[2].set_ylim(-1., 1)\n", "axs[2].set_xlim(0, 180)\n", "axs[2].set_title('p33')\n", "axs[3].plot(theta, pha_ex[3,:], 'k-', lw=3)\n", "axs[3].plot(theta, pha_tr[3,:], 'r--', lw=2)\n", "axs[3].set_xlim(0, 180)\n", "axs[3].set_title('p34')\n", "plt.tight_layout()\n", "#plt.savefig('truncated_phase_gt.png', dpi=300)" ] }, { "cell_type": "markdown", "id": "cc8d7bb0", "metadata": {}, "source": [ "#### Truncated phase matrix using the delta-M method\n", "- Wiscombe et al. 1997" ] }, { "cell_type": "code", "execution_count": 4, "id": "5fd91c66", "metadata": { "execution": { "iopub.execute_input": "2026-02-10T07:54:59.610119Z", "iopub.status.busy": "2026-02-10T07:54:59.609922Z", "iopub.status.idle": "2026-02-10T07:55:00.107182Z", "shell.execute_reply": "2026-02-10T07:55:00.106326Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "f= 0.43294807007378455\n" ] }, { "data": { "image/png": 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RMTExODo6FlGExUNG7UV4eHiRD38shBDFQU7aiwLrsejQoQNTp06le/fuGZbPnDmTQYMG0b9/f2rXrs3cuXOxt7dn0aJFZnXd3d3x8/Nj9+7dmb5fUlISsbGxJo/0oqKicr9DQgghHhvSYyGEEDlXJDccJCcnc+jQIQICAh4EotUSEBBAYGAgYPi16M6dOwDExMSwa9cuatSokek2p02bhpOTk/Hh5eVlVkcSCyGEENmRkpJS1CEIIcQjp0gSi4iICHQ6ndllTe7u7oSFhQEQEhLCU089hZ+fH0899RQjRoygXr16mW5z/PjxxMTEGB9XrlwxqyOJhRBCiOyQHgshhMi5YjsqVNOmTTl69Gi269vY2BjHj8+MJBZCCCGyQ3oshBAi54qkx8LV1RULCwvCw8NNloeHh+Ph4VFg7yuJhRBCiOyQHgshhMi5IkksrK2tadSoEdu2bTMu0+v1bNu2jWbNmhXY+0piIYQQIjukx0IIIXKuwC6FiouLIygoyPg6ODiYo0ePUqZMGby9vRk9ejR9+/alcePGNG3alFmzZhEfH0///v0LKiRJLIQQQmSL9FgIIUTOFVhicfDgQVq1amV8PXr0aMAw6dOSJUvo2bMnt27d4qOPPiIsLIwGDRqwefPmbM9TkRuSWAghhMgO6bEQQoicK7DE4tlnn+Vhc+8NHz6c4cOHF1QIZiSxEEIIkR06na6oQxBCiEdOkdxjUVQiIyOLOgQhhBCPAEkshBAi5ySxEEKIXOjXrx8ajQaNRoOVlRXu7u4899xzLFq0CL1eb6zn4+ODRqNhxYoVZtuoU6cOGo2GJUuWFGLkRWv27Nn4+Phga2uLv78/+/fvz7TukiVLjMf4/sPW1takjlKKjz76iPLly2NnZ0dAQAAXLlzIc5ySWAghRM49VolFVFSUSYMvhBB50b59e27cuMHly5f5888/adWqFW+//TadO3c2ufnXy8uLxYsXm6y7d+9ewsLCKFWqVGGHXWRWrlzJ6NGjmTRpEocPH8bPz4927dpx8+bNTNdxdHTkxo0bxkdISIhJ+RdffMG3337L3Llz2bdvH6VKlaJdu3YkJibmKVZJLIQQIuceq8RCr9cTHR1d1GEIIUoIGxsbPDw8qFChAk888QQffPABa9eu5c8//zTphejduzc7d+7kypUrxmWLFi2id+/eWFoW23lK893MmTMZNGgQ/fv3p3bt2sydOxd7e3sWLVqU6ToajQYPDw/jI+0AH0opZs2axYQJE+jWrRv169dn2bJlXL9+nTVr1uQpVkkshBAi5x6rxAIgIiKiqEMQQpRgrVu3xs/Pj9WrVxuXubu7065dO5YuXQpAQkICK1euZMCAAUUVZqFLTk7m0KFDBAQEGJdptVoCAgIIDAzMdL24uDgqVaqEl5cX3bp149SpU8ay4OBgwsLCTLbp5OSEv79/ltvMDkkshBAi50p8YmFnZ2fyWhILIYq/mYEzqTizIhVnVmTH5R0mZcG3g41lIzaNMFu36y9djeXpLTm6xFi2+sxqs/L8UrNmTS5fvmyybMCAASxZsgSlFL/99htVqlShQYMGBRZDcRMREYFOpzMbUtzd3Z2wsLAM16lRowaLFi1i7dq1/PTTT+j1epo3b87Vq1cBjOvlZJsASUlJxMbGmjzSk8RCCCFyrsQnFmXLljV5LTdwC1H8xSbFcu3ONa7duUZSapJJmU7pjGW3E2+brXsr4ZaxPL345HhjWUJKQoHFr5RCo9GYLOvUqRNxcXHs2rWLRYsWPVa9FbnVrFkzXn/9dRo0aMAzzzzD6tWrKVeuHPPmzcvTdqdNm4aTk5Px4eXlZVZHEgshhMi5xy6xkB4LIYo/RxtHKjhUoIJDBWwsbUzKLDQWxjIXWxezdcvZlzOWp1fKupSxzN7KvsDiP3PmDL6+vibLLC0tee2115g0aRL79u2jd+/eBfb+xZGrqysWFhaEh4ebLA8PD8fDwyNb27CysqJhw4YEBQUBGNfL6TbHjx9PTEyM8ZH23pf7ZOZtIYTIuRJ/16AkFkI8ekY3G83oZqMzLPN18eXq6KuZrrvulXWZlvVr0I9+DfrlNbws/fPPP5w4cYJRo0aZlQ0YMIAvv/ySnj174uJinhSVZNbW1jRq1Iht27bx/PPPA4YBNbZt25btiVJ1Oh0nTpygY8eOAPj6+uLh4cG2bduMl5XFxsayb98+hg4dmul2bGxssLGxybT8/nsJIYTImRKfWJQpU8bktSQWQoj8kpSURFhYGDqdjvDwcDZv3sy0adPo3Lkzr7/+uln9WrVqERERgb19wfWWFGejR4+mb9++NG7cmKZNmzJr1izi4+Pp378/AK+//joVKlRg2rRpAHz88cc8+eSTVK1alejoaGbMmEFISAhvvPEGYBgx6p133mHq1KlUq1YNX19fJk6ciKenpzF5yS1JLIQQIudKfGIh91gIIQrK5s2bKV++PJaWlri4uODn58e3335L37590WozvtI0/XfS46Rnz57cunWLjz76iLCwMBo0aMDmzZuNN1+HhoaaHLfbt28zaNAgwsLCcHFxoVGjRvz333/Url3bWOe9994jPj6ewYMHEx0dTcuWLdm8ebPZRHo5JYmFEELknEYppYo6iIIQGxuLk5MT48ePN/76BdCtW7c8j28uhMgfiYmJBAcH4+vrm+cTQWEuq+N7/zsyJiYGR0fHIoqweLh/LNJauHCh3GAvhBDkrL2Qm7eFEEKIdKTHQgghcq7EJxZyj4UQQoicksRCCCFyrsQnFtJjIYQQIqcksRBCiJx77BKLqKgoaTCEEEJkSdoJIYTIuRKfWJQrV87ktVKKmzdvFlE0QgghHgWSWAghRM6V+MTCzc0Na2trk2WXL18ummCEEBnS6/VFHUKJJMc192TmbSGEyLkSP4+FVqvF29uboKAg47KQkBCaNWtWhFEJIcAwG7NWq+X69euUK1cOa2trNBpNUYf1yFNKkZyczK1bt9BqtWY/roiHkx4LIYTIuRKfWABUqlTJJLGQHgshigetVouvry83btzg+vXrRR1OiWNvb4+3t3emk/WJzEliIYQQOfdYJBY+Pj4mr0NCQoomECGEGWtra7y9vUlNTZWTuXxkYWGBpaWl9ADlknwWhRAi5x7LxOLcuXNFE4gQIkMajQYrKyusrKyKOhQhAEkshBAiNx6L/vE6deqYvD527BhKqSKKRgghRHEniYUQQuTcY5FYNGjQwOR1VFQU165dK5pghBBCFHuSWAghRM49FomFj48Pjo6OJsuOHj1aNMEIIYQo9iSxEEKInHssEguNRoOfn5/Jsr179xZRNEIIIYo7SSyEECLnHovEAjCbt2Lnzp1FFIkQQojiThILIYTIuccmsXjmmWdMXu/fv5+7d+8WUTRCCCGKM0kshBAi5x6bxKJly5Ymk0QlJyezb9++IoxICCFEcZWamlrUIQghxCPnsUksHB0dadiwocmybdu2FVE0QgghijPpsRBCiJwr8YnFWxvf4pu93wDQunVrk7KNGzcWRUhCCCGKOUkshBAi50p8YrH8+HL+vfIvAJ06dXpQUBWORB8h5EpIEUUmhBCiuJLEQgghcq7EJxYAVV2qAtC8eXOcnZ0NC9sAfaHukrpci5XJ8oQQQjwgiYUQQuRciU8s9r6xl5H+IwGwsrKiXbt24AKUN5Rr72jxdPAsugCFEEIUO5JYCCFEzpX4xKJWuVqUdyhvfN25c2eIA1YBp+DO1jvcvHnTZJ0fD//IkRtHCjdQIYQQxYYkFkIIkXMlPrFIr1u3bthb2cMpYBWoo4qff/7ZWH419irDNw2n0fxGDN80HKVU0QUrhBCiSEhiIYQQOffYJRYODg688MILJssWLFiAXq8HYPb+2STpklAoLDQWaDSaoghTCCFEEZLEQgghcu6xSywA+vXrZ/L6zJkzrF27FoDJz05mxnMzqOxSmSmtphRBdEIIIYqaJBZCCJFzxTqx6N69Oy4uLvTo0SNft9uqVSvq1q1rsmzKlCnodDpsLG0Y23ws54afw9nW2aTO7pDd/HDgB/RKn6/xCCHE42L27Nn4+Phga2uLv78/+/fvz7TuggULeOqpp3BxccHFxYWAgACz+v369UOj0Zg82rdvn+c4ZeZtIYTIuWKdWLz99tssW7Ys37er1Wr54IMPTJYdO3aM2bNnG19bai1NyuOT4+m/tj/DNg0jYFkAUXej8j0uIYQoyVauXMno0aOZNGkShw8fxs/Pj3bt2pkNoHHfjh07eOWVV9i+fTuBgYF4eXnRtm1brl0zHSK8ffv23Lhxw/j45Zdf8hyr9FgIIUTOFevE4tlnn8XBwaFAtv3SSy9Rp04dk2Xjxo3j+PHjGdbfeGEjF29fBCBJl4STjVOBxCWEECXVzJkzGTRoEP3796d27drMnTsXe3t7Fi1alGH95cuX89Zbb9GgQQNq1qzJjz/+iF6vZ9u2bSb1bGxs8PDwMD5cXFzyHKskFkIIkXMFlljs2rWLLl264OnpiUajYc2aNWZ1ctIlnt8sLS354YcfTJbdvXuX559/nuvXr5vVf7nOy2x9bSs1XWuypNsSLLQWhRWqEEI88pKTkzl06BABAQHGZVqtloCAAAIDA7O1jYSEBFJSUihTpozJ8h07duDm5kaNGjUYOnQokZGReY5XEgshhMi5Akss4uPj8fPzM7m8KK2cdokXhKeffpq33nrLZFlwcDDPPvssFy9eNKsfUDmAU2+dolrZaibLr8ZeZdmxZTI0rRBCZCIiIgKdToe7u7vJcnd3d8LCwrK1jffffx9PT0+T5KR9+/YsW7aMbdu28fnnn7Nz5046dOiQZWKQlJREbGysySM9SSyEECLnCiyx6NChA1OnTqV79+4Zlue0S/xhstNQZBaHv7+/ybILFy7QuHFjfvvtN7NkQasxPWRKKQauG0jfNX1ps6wN12JNr/0VQgiRd9OnT2fFihX88ccf2NraGpf36tWLrl27Uq9ePZ5//nk2bNjAgQMH2LFjR6bbmjZtGk5OTsaHl5eXWR1JLIQQIueK5B6L/OgSTy87DUVGbGxs+OOPP6hevbrJ8ujoaF566SW6devGuXPnMl1/++XtbLm4BYCLty9Sxq5MpnWFEOJx5erqioWFBeHh4SbLw8PD8fDwyHLdL7/8kunTp7Nlyxbq16+fZd3KlSvj6upKUFBQpnXGjx9PTEyM8XHlyhWzOpJYCCFEzhVJYpHdLvGAgABeeuklNm3aRMWKFbNMOrLTUGSmfPny7Nixw2wIWoD169dTu3Zt+vbty4kTJ8zKW/u2Zl2vdfg6+/Llc19iZ2VnUp6YmpjtOIQQoqSytramUaNGJjde378Ru1mzZpmu98UXX/DJJ5+wefNmGjdu/ND3uXr1KpGRkZQvXz7TOjY2Njg6Opo80pPEQgghcq5Yjwr1999/c+vWLRISErh69WqWjU92GoqslC9fnsDAQF5++WWzMr1ez7Jly6hfvz6tWrVi1apVJCUlGcu71OjCmWFn6FHbdL6NqLtRVJxZkVd/f5XAK7nriRFCiJJi9OjRLFiwgKVLl3LmzBmGDh1KfHw8/fv3B+D1119n/Pjxxvqff/45EydOZNGiRfj4+BAWFkZYWBhxcXEAxMXF8e6777J3714uX77Mtm3b6NatG1WrVqVdu3Z5ilUSCyGEyLkiSSzy0iVekEqXLs2KFStYsWIFbm5uGdbZsWMHL7/8MuXLl+ett95i7969KKWwsbRBo9GY1P1237dE3o3kl5O/sDNkZ2HsghBCFFs9e/bkyy+/5KOPPqJBgwYcPXqUzZs3G3uvQ0NDuXHjhrH+nDlzSE5OpkePHpQvX974+PLLLwGwsLDg+PHjdO3alerVqzNw4EAaNWrE7t27sbGxyVOsklgIIUTOaVQhDGWk0Wj4448/eP75543L/P39adq0Kd999x1g6BXw9vZm+PDhjBs3Ls/vGRsbi5OTEzExMTnuvQC4ffs2X375Jd988w3x8fFZ1q1WrRqvvfYaffr0wdfX17j8012fMmvfLCISIjj91mlqlatlLLsWe43mi5rzdKWn6VWnF52qd8pxjEIIkVt5/Y4sSe4fi7Rq167NqVOniigiIYQoPnLSXhRYj0VcXBxHjx7l6NGjgGEY16NHjxIaGgo8vEu8qLm4uPDpp59y+fJlPvroI7P7QdK6cOECH330EZUrV6ZFixbMmTOHyMhIPnz6Q66OusqmVzdR07WmyTq7QnYRGhPKT8d/Yu/VvWbbPB95Hp1efjETQoiiID0WQgiRcwWWWBw8eJCGDRvSsGFDwJBINGzYkI8++gh4eJd4ceHq6sqUKVMICQlh+fLlPP3001nW/++//3jrrbfw8PCga9eurPl9Dc9WfNbsMqmwuDDsLA03ej9dyXSb8cnx1PmhDmW/KEvv1b3zd4eEEEI8lCQWQgiRc4VyKVRRKMhu/suXL/PTTz+xbNkyLly48ND6Dg4OvPjii/Tu3ZtWrVphYWGYtTtZl8yh64fw8/DD3sreWH/bpW0E/M8wFO/rfq+z9Pml+Rq/EELIpVAPZHQplI+PD8HBwUUUkRBCFB/F4lKokszHx4cJEyZw7tw5AgMDGTp0KGXKZD5/xZ07d1iyZAnPPfccXl5ejBkzhiNHjmCltaKZVzOTpAKglHUpXqz1IuXsy9G7nmmPhVKK1/54jYWHF8pQtkIIUUCkx0IIIXJOeizySXJyMn/99Rc//fQT69atIzHx4Sf9tWrVok+fPrz66qv4+PiYleuVHjCd7fvf0H95avFTAARUDmDra1vzZweEEI8V6bF4IKMei/Lly3P9+vUiikgIIYoP6bEoAtbW1nTp0oWVK1cSHh7O4sWLCQgIMLu3Iq0zZ87w4Ycf4uvrS8uWLZk3bx4xMTHGcq1Ga5JUAGwO2mx8/lr91/J/R4QQQkiPhRBC5IL0WBSwa9eusWLFCpYvX86RI0ceWt/W1pYXX3yRAQMG8Oyzz6LVmud++6/tZ+HhhXzX8TusLayNy2/fvc0vJ39hYMOB2FjmbQx3IUTJVly+I4uDjHosypQpQ2RkZBFFJIQQxUdO2gtJLArR6dOnWb58OcuXLyckJOSh9X18fOjfvz/9+vXD29v7ofUn/jORqbun4uXoxf+6/49nfJ7Jj7CFECVQcfyOLCoZJRZOTk5ER0cXTUD5IDE1kb5r+hIaE0pll8osf2G5SfmNOzdI0iXh4+xTNAEKIR4ZcilUMVW7dm0+/fRTLl26xO7du3nzzTdxcXHJtP7ly5eZNGkSPj4+tG3blhUrVmR678adpDt8s+8bwDCUrTQWQgiRe6mpqUUdQp7YWNiw4fwG9l7dy6Hrh8zK5x6ci+83vtT8viZHw44WfoBCiBJJEosioNVqadmyJXPnziUsLIw1a9bQvXt3LC0tM6yvlGLr1q288sorlC9fnuHDh3P48GGTOg42Dmzvu51O1ToxoOEAKjlXMikPiQ6RUaSEECKbHpV7LFL1qcw5MIdtl7aZLNdoNFRyMrQDKfoU0l+csCloEwDnIs/h6eBpUnYi/AQD1w7kg20fcDz8uElZdGI0Px7+kfmH5rM9eLtZPImpiWbvJYR4tCQkJKDX63O1riQWRcza2ppu3bqxevVqrl27xsyZM6lTp06m9aOjo5k9ezaNGjWiSZMmLFiwgLi4OAAaeTZiw6sb+L7j9ybrKKXo+VtPvL724v2t75Oqf7R/iRNCiIL2KPRY3Iy/yTNLnuGtTW8xbNMwknXJJuXbXt9G4oeJXBx50WQgEaUUL9R8geZezanlWgu3Um4m6225uIVFRxcx7d9pBEUFmb3noPWDeHPDmyw+utgspld/f5VyM8rR9n9tuRx9Of92VghRYO4k3SE2KRaA6dOnU6ZMGcqUKcOGDRtyvC1JLIoRNzc3Ro0axYkTJ9i/fz9DhgzJ8lq2gwcPMnjwYDw9PRk6dChHjx4FwFJr2vPx18W/2HdtHxEJEewO3W1WLoQQwtSj0GNR2ro0ccmGH5bORZ5j60XT4cfLO5TPcCAPjUbD+KfGs2fAHk4MPWFWvvfaXuNzj9IeJmVpRyq8PyR6WqdvnSbybiS7QnaZJSxCiOInMTWR51c+T6ulrdh1aBfjx48nKSmJmJgYevXqRXh4eI62J4lFMaTRaGjSpAlz5szhxo0b/PTTT7Ru3TrT+nfu3GHu3Lk0bNgQf39/Fi5cSHx8vLG8gkMFXq33KlZaK95q8pbZ+uP+HseyY8uITJARUIQQAgy/6uf2UoDCYm9lz+qXV9PAowG7+++mU/VOOd6GhdbCbNmcTnM4NuQYW/psoa5bXZMyt1Ju/NjlRxZ2XcigJwaZlCml8HXxxaO0B618W5lN/rrl4hbWn1svl0oJUYwM3zScf4L/4fCNw/Ra0ws8gW7AEIivFM+aNWtytD0ZFeoREhwczJIlS1i0aBFXr17Nsq6joyN9+vThzTffpH79+oChC9vJxsnkF6wrMVfwnmUYcaqxZ2MODDpQcDsghCg2SuJ3ZG5lNCoUGCY+tbKyKoKIMna/uU4/P5JSKss5kwqbUoo7yXdwtHnwudIrPX5z/Th58yStfFqx6qVVlLUvW4RRCiEALkRe4NmlzxKdGI3HXx5cunEJet8r3APvNniXCRMmyKhQJZGvry9Tpkzh8uXLrF+/ns6dO2c4zwUYGsoffvgBPz8/mjdvzvLly3GydDLrFl93bp3xeZfqXcy2s+zYMo6GHZVfmIQQj53idJ+FUooxW8bw1sa3zC5BKk5JBRjiSZtUAGy7tI2TN08CEJsUi4td5iMiCiEKT7Wy1djedzu/dPyFS7suwY00hU5ka3qEtCSxeARZWFjQuXNn1q9fbxyStkKFCpnWDwwMpE+fPnh7ezNhwgSuXLliLBvaZCi7++9mTLMx9Kjdw2S9O0l3GLR+EA3nNaTV0laSXAghHivF6T6LCf9M4Ou9XzP30FyGbBhS1OHkWEDlAH576TequFThq7ZfmdyrAaDTF59jLcTjpnrZ6sSdNtyvRRzwLfAJ8BuEhobmaFtyF+8jzsvLi8mTJzNhwgQ2bdrE/Pnz2bRpU4ZJwM2bN/n000+ZPn063bp1Y/jw4Tz77LO09G5JS++WZvU3B202jjJSy7VWsftVTAghClJx6rGo41YHC40FOqXjyYpPZmsdvV5PZGQkQUFBhISEoNFo0Gg03Lp1i7i4OGxsbLC1tTX+m/ZhY2ODvb095cqVw83NLc+XhGk0Gl6s/SLdanYzG0DkauxVnl78NONajmNAwwEywIgQBWjqrqnYWdoxpvkYk+V//fXXgxdRD54+7NL79OQeixIoNDSUH3/8kYULF3L9+vUs69auXZthw4bx2muv4eDgYFJ2M/4mv5/+nSXHlvBDxx9o5NnIWKaUYsrOKbxa71Wql61eIPshhCg4j/N3ZHqZ3WMRERFB2bLF5z6A307/RkRCBEMam/ZY6PV6Ll68yMGDBzl48CAnTpzg7Nmz3LhxI9+So7Jly+Lu7m58eHh44OPjQ61atahZsyZeXl65/vGp35p+LD22FIBPW3/KB099kC8xCyFMLTy8kDfWvwHA+y3eZ3rAdMDQO1uxYkXCwsLM1nFwcODq1avZbi8ksSjBUlNTWbduHd9//z3bt5tPZJSWg4MDffv2ZdiwYdSsWfOh2/4r6C/aL2+PVqNlXItxfNrm0/wKWwhRCOQ78oHMEouwsDDc3d2LIKKHi4yMZP369axZs4adO3cSHR1dpPGUKlWKGjVqULNmTWOyUatWLapVq4a1tXWm6+n0Ol5d/Sq/nvoVF1sXgkYGUcauTCFGLsTjY3PQZjos7wDAjOdmMLb5WAA2bNhAly7m99neFxUVRZkyZSSxkEbzgVOnTjF79myWLVtmMhRtRtq0acOIESPo3LkzFhbmQxECdFzekT+D/gRg+QvLebXeq/kesxCi4Mh35AOZJRbXrl3D09MzgzUK3qpTq6jsUtmkpzg5OZlVq1axcOFCdu3aVazuAcmMtbU19evXp3HjxsZH7dq1zS6t2hO6h2t3rvFynZdNls89OJegqCA6VO3AMz7PyGVSQuTR4PWDcbF14fPnPgcgPj4ef39/Tp069aBSOaAiYAechcuHL+Pj4yOJhTSa5mJiYli2bBmzZ8/m3LlzWdatUqUK77zzDv369aN06dImZbFJsczeP5t/r/zLhlc2mM3qKvdjCFG8yXfkA5klFiEhIXh7exd6PNuDt9Pup3ZYW1jz60u/0sa7DfPnz2f69OkPvbw1I5aWlvj6+mJlZYVOp6Ns2bI4OTmRnJxMYmIiSUlJJCYmmj2Pj48vkLk8bG1tadCgAY0bN+bJJ5/kySefpHLlymbthk6vo/K3lQmNCcXW0pao96Kws7IzlkfdjaK0dWmsLTLvERHicZWiS2HLxS1m89uk6FKw1Fqi0WiIiYmhR48e/P3336YrNwfa3nv+KxxfcZz69etLYiGNZuaUUmzbto3vv/+e9evXZ9l4ODs7M2jQIEaMGIGXl5fZdtI3BlN3TSUoKogZz82gXKlyBRK/ECJv5DvygcwSi0uXLuHr61vo8bT/qT1/XTTcSBngGEDQt0Fcvnz5oeu5u7vTpEkTnnjiCerUqUOVKlWM90NYWub8l/77N3+Hh4cTHh5OWFiY8fn169c5d+4cZ8+e5c6dOznednrlypUzJhlPPvkkTZo04XTMaZotbIZC0a5KOzb32Wyyzhvr3mDpsaXUcq3FHz3/oEqZKnmOQ4iSIPBKIG9ueJMTN0/wz+v/0Mq3lUm5UorffvuNUaNGce3aNZMyPz8/jmmPGSbJA1gP/37zLy1btpTEQhrN7Ll8+TJz587lxx9/JDIy89m3LSwseOmllxg1ahRNmzbNsE5QVBB1f6hLki4Jt1JuBI0IwsHGIcO6QoiiI9+RD2SWWJw/f55q1aoVejx3U+7SbVE39h7Zy50FdyCT333s7Oxo164d3bt3p3Xr1lSoUKHQe4uVUty4cYMzZ85w9uxZk39z07tyn1arpVatWtTzr4ddHTsa1mzI4DaDsbF5MBeT/4/+7L+2Hw0aYsfHUtr6Qc/6+cjzrDq1ii41ulDPrZ70oovHyryD8xiy0TDIQy3XWpx866RxiOeDBw8yfvx4814KoEyZMuzZs4cmHZoQ5xoHCcB12PTzJjp27CiJhTSaOZOYmMiKFSuYNWsWx44dy7Ju8+bNGT16NM8//7zJfRgbz2+k9+rexCTFMLbZWGa0nVHQYQshcuiHH35g48aNbNq0Sb4jyTyxOHPmTLYGs8hPSUlJTJgwga9mfoXSKshgUKennnqKESNG0KlTJ+zt7Qs1vpyIjo7myJEjxtGqDh48yKVLl3K9PWtra/z8/GjSpAlNmjRho3YjZ+POolM6Tg87bVL3s92f8eE/HwKmN6kKUZLolZ4T4Sews7IzGaFTr/S0WNSCZF0yczrOISUkhb/++osdO3awe/fuDLdVrlw5NmzYQNOmTfHx8TGZGO+XX37hlVdekcRCEovcUUqxY8cOvv76azZs2JDlxHg+Pj6MHDmSgQMHGo9zWFwYn+3+jM/afGbyCxIYfolLe42sEKJwKaWoX78+J08aZkGW78jME4sTJ05Qt27dAn9/pRQKxeXgy7z88sscOnQow3otWrRg+vTptGxpPu/QoyIyMpLDhw9z4MAB9u/fT2BgIDdv3sz19kqXLk3DJxrStElTmjRpQr169ahatSrP/u9ZAq8GAnBp5CV8XR5c0qbT69BoNGaT9AnxKAm+HUyTBU2IvBvJa/VfY1n3ZQDcvn2b/fv38/fevzmx9wT79+3n9u3bWW4rICCAhQsXGu8pq1+/PidOnDCWz58/n8GDB0tiIYlF3l24cIFvvvmGxYsXk5CQkGk9BwcHBg8ezDvvvEPFihUzrLP27FoGrR/E+JbjebPxm9hbFd9f2oQoqfbt28eTTz6YYE2+IzNPLI4ePYqfn1+Bv/+iI4v4/p/vCZoexJ0I8/sV6tWrx7Rp0+jYsWOJu6RHKcXly5fZu3cve/fuJTAwkCNHjuRp/g1LS0t8GvpQumFp7Mvb806dd6hdu7Zx6NuVJ1cyftt4Bj0xiDeeeEPuBRTF2rXYa/x96W9qlatF0wqGy9CVUoTfDKfaj9WIS43DSlnx3JHnOH/6PEFBQdnedsWKFfn666958cUXTb5bmjdvTmBgoPH1119/zahRoySxkMQi/0RFRbFgwQK+++47sxt90rK0tKR37968++671KlTx7g8LjmO2rNrcyX2CgAHBh2gsWfjAo9bCGGglCImJoaJEyfy/fffG5fLd2TmicXBgwdp1KhRBmvkn9DoUKrNqkayJhluAguAFEOZtbU1U6ZMYezYsbm6+fpRdffuXY4ePcqBAweMj4eNYpgdlpaWVKtWjYhOEdwqfQuARU8voneL3lnOtSFEUdlwdgNdVhrml3hS+yQ1L9Xk3LlznDt3jqioKMMN1rZAMHAUSM7edsuVK8fYsWMZNmwYpUqVMisPeC6Abdu3gTWggU8//JQPP/xQEgtJLPJfSkoKv/32GzNnzuTgwYNZ1u3UqRPvv/8+LVu2JDw+nFF/jWLFyRU8XelpdvbbaVJ3T+gerCysaFS+ERbajOfOEELkTnJyMv369eOXX34xKyvs78jZs2czY8YMwsLC8PPz47vvvst0MAiAVatWMXHiRC5fvky1atX4/PPP6dixo7FcKcWkSZNYsGAB0dHRtGjRgjlz5uTopuvMEot9+/ZlGVte6fV6Or3Tic2lN4MNcARYayirUaMGv/76K/Xr1y+w93+UREdHc+jQIZNk48qVKznfkAXwClAViAC+f5Bw1K5dm1I1SmHjZkPbqm2pW6UulSpVws5OLt8V5qKiopg0aRL79u2jWrVqDBkyhKeeeipX29Lr9fz838/cDb7LuWPnjMnDxasX0Y/VGz63t4DZuY+3Zs2adOnShebNm9O2bdss78/q0r0LGxpsMLy4DB94fsBnn32WvfZClVAxMTEKUDExMUUdSomk1+vV7t271QsvvKC0Wq0CMn08+eSTavXq1So1NVUdDzuuDlw7YLa9pxc/rZiMcv3CVd2+e7vwd0iUSNF3o9X6c+vV3ANz1V9BfxV1OEVm4sSJmf59FuZ35IoVK5S1tbVatGiROnXqlBo0aJBydnZW4eHhGdbfs2ePsrCwUF988YU6ffq0mjBhgrKyslInTpww1pk+fbpycnJSa9asUceOHVNdu3ZVvr6+6u7du9mO6357gavpsdmzZ0+e9zkzOp1ODRw40PBejiieR2FreN8+ffqoO3fuFNh7lxQ3btxQ69atUxMnTlTt27dXnp6eWbZFJg8XFN4ZLH8BxeR7j3KGZW5ubqpp06aq60td1cBhA9XHH3+s5s2bp9auXav27t2rLl++rBISEor6cIhCdPHyRVX2mbKKUvc+N7Yo2qK6fdwt29vQ6XRq27ZtqteoXspmqI3hM9csg89kRxStUFTK5mcblI2NjWrevLkaPXq0WrVqlQoNDc3R/r3a+1XFR/f+DgahevXqle32QnosRJ5dunSJmTNnsnDhQhITEzOtV716dd59911ef/11k27nmMQYyn5RFp3SUa1MNc6POG+y3vbg7dxKuEWnap0oZW3eZSdEZg7fOEyj+YZLWXrW6cmKHitMytecXUNkQiTP13yesvZliyLEAhefFI93Y2+iTkaZFngDoYXbY+Hv70+TJk2Ml2Lp9Xq8vLwYMWIE48aNM6vfs2dP4uPj2bBhg3HZk08+SYMGDZg7dy5KKTw9PRkzZgxjxxpG/YmJicHd3Z0lS5bQq1evbMVl7LEYjaHH4KJh+a5du3L9C2RWdDodb7zxBkuWLDFZbmlpyZw5cxg4cGCJu5eisNy+fZszZ85w6tQpTp06xenTpzl16lT2hr61AN7FcGlJEjAdw2naff5AByAR+ANIe3WWFizLW+Kod8TZzhlHR0eTh5OTk/G5g4MDNjY2WFtbY2NjY/b8/muNRoNWq0Wj0RgfaV+nL9Pr9ej1enQ6nfF5Xl4nJieSkJSAVqclJSXF+EhKTkKXqkOn01G6dGlcXFwoW7YslStXxtfXF1tb23z63yy+nnr1Kf6t8a/hxWGgJmAPRMPnFT7nvbHvZbpuSkoKS5cuZcaMGZw/fx48gCH3CqOBb8l0iOn0rK2tqVq1KjVr1qRmzZrUqFGD2rVrU79+/Txd3vfmm28yP2G+4fMfARim1clWe/H4XLQpCkzlypX5/vvvmTRpEt9//z3ff/+94dq/dM6fP8+gQYOYMmUK7733Hm+88QZ2dnZYaC2Y02kOfwb9SdUyVc3W+/7A96w+s5pSVqXY1HsTT1d6ujB2SzxidofspkmFJthaPmjUKrtUNj7XK/Nv6i/2fEHgVcNEQoffPEx995J12UnfNX1ZcWIFyd2TDSdBKWkKC/m8NTk5mUOHDjF+/HjjMq1WS0BAgMlNgmkFBgYyevRok2Xt2rVjzZo1AAQHBxMWFkZAQICx3MnJCX9/fwIDAzNNLJKSkkhKSjK+jo2NNTyxBhpgTCzycgNxZnQ6Hf379+d///ufyXJLS0t+/fVXunfvnu/v+ThxcXGhefPmNG/e3GR5dHQ0p0+fNiYa9/81uWdQD/wKVMPw95H+Z1fne//aYkgu0nKC1EGpRBFF1NEoWJOu3AFDspLRNfD2gCNQGsNnL+37egPt7z0/BuxLt66WbJ+EZlsNoB2G/f0H+Ddd+TsYkrAoYDkm+6TRaPDx8eHJJ5+kRYsWNG/enHr16pWoe4R27tzJv1f/NRwngCsY/n+rAY7w/rfvU6F8BXr37m227t9//83IkSM5c+bMg4VhwCnADdiJ+ecOw+SX9xOHGjVqGJ/7+PiYDPmfX0qVKgXz772wJkefs5LzPy2KXLly5YxJw6JFi/jqq69MxkG+7+rVq4wcOZJPP/2U0aNHM3ToUAY1GsSgRoPM6ur0OrYHbwfA1tKWJp5NCnw/xKMlOjGaoRuHsuLkCj5r/Rnjn3pw4poYnciLLi+ii9FR4VoFTp8+Te3atQG4GnvVOBxlrXK1qOdWr0jiL0gaNCTrkw0nAV5A2ikEsnmTX36JiIhAp9Ph7u5ustzd3Z2zZ89muE5YWFiG9cPCwozl95dlVicj06ZNY8qUKeYF14D1D17qdLpMt5Ebqamp9OvXj+XrlkNDDDdbKrCysuK3336ja9eu+fp+4gFnZ+dME477PRxnzpzh8uXLhISEcPnyZSJJN2FsFIa/IWcMvyybvEGa53EZBPAG4HRvvVnpyjoDte89nwnEpimzAjzvPc9osJ+BGE78rmHobcvuNSilMSQtFYFtQNqPug4oc+95RuestvceqZh9jyilCA4OJjg42HhPV+nSpWnRogVPP/00Tz/9NE2aNDGZ6DCnlFLcunWLa9euERcXR3JyMk5OTri5ueHl5VXgvX0//vijIQG0BnyAyxg+GxHAXiAG+vXrh4uLi/F+sDNnzvDhhx/yxx9/GD4H6a0HksCtnBtNOzWlfv36xgSievXqODs7F+g+pVe6dJqpApoAT2HowcsGSSxEvitVqhQjRoxg6NChrFq1ii+++IKjR4+a1QsPD+f9999n+vTpvP3224wcORIXFxezeit6rGDVqVVULVPVbA6Mo2FHqeBQQYYLfIwduHaAFScNlzhN3T2Vvg36YpNsw3vvvceyZctMfnWexSwCAgL4/vvvqV69Ovve2MeqU6toUqGJWWM0afskSlmX4s1Gb+Jkm1FLUHxcun2J1WdWm00C1qdeH37a+xO60zrDDKpp3Si8+Iqb8ePHm/SExMbG4uXlBT9j+BWyNJCU/z0W77//PsuXL4fugB/QBKzWWbF6wWo6d+6cr+8lssfZ2ZlmzZrRrFkzs7K4uDhCQ0ONycb169cJCwsjPDicsOphhIeHExYWRnJyMtzFcPN9WTL+27p/n2xGCX3aRMQR08QihQe/FKfvJbHEcBmNBQ+urk+r8b14dED6SZbbYEhuAc5g+NX9vtsYeleiME+gwHAC7QyEZlDW/F7ZtnvbwHAc//rrL/76y3A9jY2NDf7+/jRv3pzq1atTpUoV3NzcsLW1xcbGhvj4eGJiYgi/Fc6fF/5kT8Qe/EL9CA0NJTQ0lCtXrpCUmmToIUj3m4SrqystWrSgT58+dO/ePd9/zb979y5r166FO8C9q+u++uorUlNTef/99431UlNT6dq1K6+++ip37txh3bp16PV6aAk8g6Gn57Khbt26denZsyddunShfv36xeIySJORos6Q8ecgE5JYiAJjaWnJK6+8Qq9evdiyZQufffYZu3btMqt3+/ZtJk+ezFdffcWwYcMYNWoUbm5uAFhoLWhbpS1tq7Q1Wy8hJYEXf32RmMQY5neZzwu1XijwfRLFz3NVnuODlh8w5+AcZjw3g/CL4XTp3CXTYZH//vtvGjduzC+//ELnzp2N44KnFR4Xzud7PidJl8R3+78j+O1gLLXF8+vyg20f8Pmez9ErPc0qNqOFdwtjmftdd3QzdBl2YdeuXZvTp0+bFxQQV1dXLCwsCA8PN1keHh6Oh4dHhut4eHhkWf/+v+Hh4ZQvX96kToMGDTKN5f517GZ0QA8M3f7X87fHYt26dcycOdNwond/agwX+Gn+T5JUFFOlS5emdu3axl7OjKh7wzjfunWL2NhYw6Or4d+YmBhiY2OJjo3mD90fxKXEYa21pvKzlUlOTjZekheRFEHcuThUnMLC0oJU+1SSk5NRSqG/qkd9fC9jSD+fXykMl9F4YDzJNVELqGJ4avOfDRZYYGFhgVarJSUyhYR7vzaUrlMaR50jWq3WcN+GVoN2pRZrK2usra2xesIKK6s0j1ArrMOs0Wg1xLWKIyoqihs3bnAz7qbhpNkGQ4I+F0PClU5SUhK7du3K8HzAyAIYDLgb9vvI70cMJ/P3VQd6AVeBPzH02GDoGV27di1r166lTp06LFiwIMOkMbe2bNnCnTsPAtFoNLzyyit4eHhw48YNZs2aZSzT6XSmlzzWAO5ftfkK1N1Zly8/+pK2bdsWi2QiLZPEIureI7tydJv4I0RGhSqedu3apdq1a5flaAZ2dnZq5MiR6sqVK1lu68NtHxpH72g4t6FK0aUU0l6I4iZFl6KuxlxVp06dUi4uLtkaNcPKykr99VfGI0X9dOwnpZmsUUxGjflrTCHvTc4sPrLY+HfQ49ceJmUff/yxyT57eXmplJQUFRYWpqKjowv9O7Jp06Zq+PDhxtc6nU5VqFBBTZs2LcP6L7/8surcubPJsmbNmqk333xTKWUYnc7Dw0N9+eWXxvKYmBhlY2Ojfvnll2zHdb+98PHxUYy5NxLKaNSaNWtysnuZunTpkunn0geleUuj3lryVr5sXzwe9Hq90ul0KjU1VaWkpKikpCSVmJioou9Eq9CIUJWUlKRSUlKUTqdTer1e1fuhnvG7IT453mRbQZFB6oO/P1Drz61XEfER+RLf78d+V3af2Ckmo6qOqaqqVq2a/VG6Mno8l2aErprpyp5PUxaQ+TYsLCzUvHnz8mX/lFJq5MiRJtt/5plnjGU6nU716dPHUGaFokq6eDQoXjHE3P2r7io1NTXf4spvixcvVjyN4lUUfVFYku32QhILUST279+vnn/++Sy/VKytrdXw4cPVtWvXMtxG2J0w9eLKF1Xpz0qr8xHnC3kPRFE5cuOICokOMVt+7do15e3tnWGi2q5dO+Xh4WFWZm9vr/bu3Zvh+5y9dVYNWjdIXYkxTXDjk+NV3R/qqjF/jVH/hf5XIPuYkVvxt9SswFkqKDLIZHlSapJqNK+R+mTnJyoyIdK4PDU11XCinGZ/R4wYYSwviu/IFStWKBsbG7VkyRJ1+vRpNXjwYOXs7KzCwsKUUkq99tpraty4ccb6e/bsUZaWlurLL79UZ86cUZMmTcpwuFlnZ2e1du1adfz4cdWtW7dcDzdbpUoVRT0U9VFURf3+++953ufw8PAMT7C+m/2d/BgiCtTFqItq1+VdauflnYX2WQuJDlF9VvdR0XejlVJKhYWFqd9++02NHDlSNWjQQGk0mozbfO29E++0y6xRvISiWgZlVVEMRVkOsFSubq7Kysoqy/OJ/Eou/Pz8DCfZ9+L59NNPTcp1Op0aOXmk4i0Uk1A89SCG0qVLq3cnvKt+3PtjvsRSkH799VdjEsRkFPaSWEhi8Yg4fvy46tWrV5ZzYdjY2KiRI0eq69evm62v1+vNTrREyRUSHaI8vvRQ7jPc1f6r+43Lk5KSVOPGjc0+Oy1btjQmpnFxcap3795mdVxdXdXFixezHcPq06uNX7bvb33fpCwpNUm1Xtpadfipg5r4z0SzdecfnK9GbR6lJv4zUUUlRJmURcRHqD2he9SxsGMqNjHWpGzrxa3KYoqFYjJq/N/jzbar1+vNlq1bt85sX9MmUUX1Hfndd98pb29vZW1trZo2bWoS0zPPPKP69u1rUv/XX39V1atXV9bW1qpOnTpq48aNJuV6vV5NnDhRubu7KxsbG9WmTRt17ty5HMV0/1hUr17d5HitXLky1/uplFIJCQmqUaNGZv8PL730Uob/Z0KUVIFXAtU7f76jQsJC1IYNG9T777+vunTpomrXra2s61srht1L6O/9jVhaWipXV1fVoEED1bVrVzV8+HD1+eefqxUrVqg9e/aoK1euqLtJd43zXun1enXp0iW1aNEiw8l/ur85S0tLtWvXrjztQ1RUlCExehrFh4bEZu6GuWb1JmybYGwj6o6uq9566y31448/qsjIyAy2Wjxt3LhR0SNNYlFGEgtJLB4x586dU/3791eWlpaZJhi2trbq7bffVjdu3MhyW3q9Xk3aPkmdDD9ZSNGLwtJxeUfjF13b/7U1Lv/ggw/MPi/+/v4qPt60+1+n0xkn+kn7qFmzpoqKikr/dhmatnua8SR/9enVJmUxiTHG+J5b9pzZul1/6WosvxZr2hP3x5k/jGWLjyw2KYuIjzBemlXhqwpKp9dlGWNwcLDZZGENGzY0OZmV78gH7h+L2rVrmxyzn3/+OU/bfeedd8w+a/Xq1VPR0dH5FLkQxV9CcoKq/l11xWRUqU9LqTtJDyZ/vBZ7zfjd5j3TW10Nu6oSEhJynXgnpSapXcG71Pjx483+9ipXrqzi4uJyvR8bN240bKv7gxPuw1cOm9XT6XVq6s6pynaqrVp0eFGu368o7dy5U2GHovS9fR2X/cQi/a1AQhSJ6tWrs2jRIoKCghg6dChWVlZmdRITE/nmm2/w9fVl9OjRZjd13jd5x2Sm7JzC00ue5sC1AwUduihEC7os4LnKz1HZpTLLX1gOwL///sv06abj4FWtWpX169djb29vslyr1bJ06VLatWtnsvzs2bP06NHDMLrLQ4xrOY7wseH82uNXszlVklIfzI1gZWH+GU7RPZhIwsHawaQsLvnB0DARCREmZWXty9Kzbk/ebf4uW17bglaT+Vf33r17efbZZ80mBHv77beL3Q2CxU36EWTyMirUjh07TG7kpC44vOzAt798a5iMT4jHxP5r+wmNMQwh9WTFJylt/WAoU08HT57xeQaACo4V0NvqsbOzy9V3VfDtYFouaknb5W3p/U5vs0k3L126xNSpU3O9H4cOHTI8uQtEgDZVS033mmb1tBotHz79IRHvRvBynZdz/X5FqVSpUob9zM1XYCEkPkVCfo17tIWEhKghQ4Zked2knZ2dGjNmjAoPDzeudzflrmo0r5Hx14SlR5cW4V6IgqDT64y/9icmJqpq1aqZfC6srKzU4cPmvyKlFRMTo+rVq2f2mWrXrp3JPT3x8fEqKChI7d69W23fvl3t379fhYaGZnrTnV6vV3FJcSoyIdLkfof7zkecV3tC96gtQVvMeh32X92vRm0epQatG6R+PflrTg+LiomJUePGjVMWFhZm+/X0008rnU5nVl++Iw3uH4sGDRo8uLbbETV3ofllDtndXqVKlUz+DzSDNcbvJelNFY+bcxHn1PCNw9UvJ8wHVdgStEWtP7c+z5cHjt482vg31mJhC5Wamqqeeuops/OGq1ev5mr76e8LHTlyZJ7iLc7Onj1r2E87DPdavCqXQkmjWUJcvnxZDR48OMtLpOzt7dW7776rbt68qZQyXI7yzOJn1KzAWUUcvShon3zyidnnIbMRhtILCQlR7u7uZutbWFgoT09PVbp06Uw/c9bW1qpu3brqlVdeUZ999pnasGGDCgkJKZLr5sPCwtSUKVNUuXLlMoy1fv36GV7mJd+RD9w/Fo0aNTLcbHnv5GTYt8Nytb2BAwea/j84oiwnWyomoxrMbSD3VwhRAO6m3FXVv6uuan5fU+28vFMpZThBTv9jyzvvvJOr7af/sWDJkiX5GX6xcuXKlQzbk+y0FxqllMpFR0eh6N69Ozt27KBNmzb89ttvOVo3NjYWJycnYmJicHR0LKAIRWG5fPkyn376KUuWLMn08gR7e3uGDx/Ou+++i3MZ52I774DImbMRZ6lRtoZZ13hwcDC1a9cmMfHBrFH+/v7s2bMn25MiHThwgGeeeYa7dzMYbD0XSpcuTaVKlfD29jb7183NjXLlyuHk5IRWm7urUJVShIaGcvz4cQIDA9m6dSuHDh0is6/xFi1a8Pvvv5vNTA3yHZnW/WPRtGlT9qv90MmwvK9TX5a8syRH29q4caPZvBTPPPMMv2/8neUnl+Pp4EmP2j3yKXIhRFpBUUF4OXphY/lgnpohQ4Ywb9484+vSpUtz9erVHF2SGBkZiaurq8my48ePU69evbwHXQzdvn2bMlXKGGZ9twJCgNtkq70o1onFjh07uHPnDkuXLpXEQgCGk8mpU6eydOnSTCevuj/z99ixYylbtqxx+d6rezkadpQhjYcUVrgij8Ljwqn+fXXqudVjdsfZ+Hn4Gcu6du3K+vXrja+1Wi0HDx6kYcOGGW0qU4GBgXTr1o1bt27lW9xZsbCwoGzZsri6uuLs7IydnR329vbGf21tbdHr9eh0OnQ6HbGxsdy8eZPw8HBu3LhBXFxctt5jwoQJTJgwAUvLjBNs+Y584P6xaN68Of/d/A9aAHdh2JPD+H7U99neTkxMDLVq1eLGjQdTL5cuXZrjx4/j6+tbAJELIR4mODiYqlWrGma+vuebb75h5MiR2d7GP//8Q5s2bYyvbWxsuHPnTob3g5YEycnJ2DS3gS73FvwOnMheYlHsL4Xavn27evHFF3O8nnTzl2xBQUGqf//+GV5Pfv9RunRpNW7cOHXr1i11POy4cpnuopiMevvPtx86qk5a0Xej1cWoi/k2iZDIvhGbRhgvS3lj7RvG5RkNpZp24rWcCgsLU2+88Yays7PL8LNUqlQpVbZsWWVtbZ3p5624PLp27arOnj370H2W78gH7h+L9Ndjf/PNNznaztChQ83+PxYsWFBAUQshsqtHjx4mf5cNGjTI0frffvutYV0vFD1Q5fqUK9R5jIqCRUOLB8PNNiqEUaF27dpFly5d8PT0RKPRsGbNGrM6s2fPxsfHB1tbW/z9/dm/f39u304IE1WqVGHRokWcPXuWvn37ZnhpSVxcHNOnT8fHx4cR347gduJtAKITo7McVSetpUeX4vy5M1W+rcIXe77I1314lCmlCIsLK/D3eabSM9QoWwN7K3umtjaM5pGQkGD2S5O7uzuffPJJrt/H3d2dBQsWEBERQWBgIJs2bWLPnj2cPXuW2NhY4uLiiIiIIDExkbCwMHbt2sUPP/zA0KFDadGiRZH/4m9vb0/fvn05fPgwa9eupUaNGkUaz6Mqfe9OTkaFCgwMZO7cuSbL2rdvz8CBA/MlNiFEzoTGhDJlxxT+vPAngwcPNik7evQoR44cyfa2Tp06ZXjiBtSFW1VvcfLmyXyMtvixibKB4HsvcnAhQK4vQo+Pj8fPz48BAwbwwgsvmJWvXLmS0aNHM3fuXPz9/Zk1axbt2rXj3LlzuLm5AdCgQYMMv7i3bNmCp6dnbkMTj5GqVauyZMkSPvzwQz755BOWL19u0t0Jhs/qzs92YtXCitJtSvPBEx+YlG8P3s47f71DeFw4BwYdwMvJy1hWvWz1LN9/xckVNPRoSA3Xx+NETq/0LD++nGn/TiMxNZFLb18yKY9PjmfV6VW87vd6tpO3rLxY+0W61ezGifATuJc23Ccwbdo0Ll++bFJvxowZODs75/n97O3tefLJJzMt12g0uLu74+7uzlNPPWVcrpTiypUrXLp0iZCQEEJDQ03+vXr1KgkJCXmO7z5nZ2fq1atHixYteO6552jRogU2NjYPX1FkKf29OZldbpmeXq9n+PDhJve62Nvb8/HMj3lq8VN0r9mdHrV7UMm5Ur7GK4TI2JEbR2g0vxEKRdsqbdn0yia8vb0JDQ011lm5cmW2L509ffq04Uma35AqOFbIz5CLn1vAOcAXcH1I3TRynVh06NCBDh06ZFo+c+ZMBg0aRP/+/QGYO3cuGzduZNGiRcaxhY8ePZrbtzeTlJREUtKDMeRjY2Pzbdui+KtWrRrLli1jwoQJfPLJJ/z8889mCUbKnhRuB96mwYwGDBkyhPfeew8PDw/2X9vP8fDjABwJO2KSWPh5+NHcqzmVnCrRwKOByfYuRl2k/9r+6JWemW1nMqzpsALfz6J2K/4W7/z1DlF3owAIiQ4xOVmaf2g+o7eMZsHhBax4cYXJscwtS60lDcsbvvzPnz/PF1+Y9hw9/fTT9OnTJ8/vkxcajQZvb2+8vb0zrZOQkEBkZCQRERFERERw69Yt4uLiSEhIICEhgbt375KQkEBiYiIWFhbGh52dnTGZcXNzo3LlylSsWFHmpCgAuZ3HYvXq1Rw+fNhk2ZQpUzgUf4g9V/aw58oebifeNva6CSEKlp+HHz7OPgRHB/NP8D9EJUbx6quvmsx5tGrVKqZNm/bQ71Kl1IMei93AMfjsu894smLmP0KVBBqNBqxzvl6BDJuTnJzMoUOHGD9+vHGZVqslICCAwMDAgnhLpk2bxpQpUwpk2+LRUb16df73v/8xYcIEPv30U/MeDD3cvXuXr7/+mjlz5vDmm28S/mQ4NhY2uNi5mE1MZm9lz54BezJ8r892f0ZiqmFEoq2XtjK0ydB8+ZW+OHMv7c78zvPpsaoHLb1bEp8SbyxL0aUw478ZAPx35T/2XduXL4nFfXq9nkGDBplMYmdhYcHs2bMfiZNse3t77O3t8fLKv2Mi8peFhQVogB6AHfye8jvjGZ/lOqmpqUycONFkWc2aNXnnnXd4Y8MbxmUv1nqxACIWQmREq9EyruU4bsbfpF+DfpQrVY4ePXqYJBaXLl3i2LFjNGjQIMtthYeHExVl+DGNVCAKXvZ/mTJ2ZQpuB4oBrVYL/wL7yVmCkR83eADqjz/+ML6+du2aAtR//5ne2PLuu++qpk2bZnu7bdq0Ua6ursrOzk5VqFDBbHtpJSYmqpiYGOPj/hi8cmPi4+38+fOqb9++Wd7kbW1jrYaPGJ7jSXPik+PVO3++o/wX+Kv45PgC2oPi6XjY8QyXbw/ernxm+aixf43N9bZv372tPt31qdnN8nPnzjX7vxszZkyu3+dxJzdvP3D/WHTt2tXw2frAcMNiuUnlHrru4sWLzT6Xq1atUkoZJkw8F3FOzT0wV+auEKKI6fV65evra/K3+tlnnz10vW3btpmsY2dnZzbhaElUo0YNwz5b3Jsor6Bv3i4Mf//9N7du3SIhIYGrV6/SrFmzTOva2Njg6Oho8hCiWrVqLFmyhHPnzjFgwIAM5zdITkrm++++p3LlygwfPpwrV65ka9v2VvZ83f5rdvTbgb2VfX6H/lC7Q3ZzNuJspnMY5Ie7KXfZd3Wf2fJ67hmP3f2sz7McHnyYaQHTcv2e8w/N58N/PsTray9WnFwBGIYLfO+990zq+fj4SC+lyFfG74fE+/8kZl4ZQ+/85MmTTZY98cQTxvsONRoN1ctW583Gbz4SvWpClGQajYaOHTuaLNu8efND1zNeBnVPrVq1cj0X0aNk6tSpMAaYCLyS/fUK5Mi4urpiYWFBeHi4yfLw8HA8PDwK4i2FyFKVKlVYuHAhFy5c4I033shwbP/k5GRmz55N1apVefPNN7lw4UK2tm1raWvyWinFzfib+RJ3VsZtG0et2bXwm+vHgWsHCuQ9Jm6fyNNLnjae4GeHi52L2eSE8cnx2UqA9ErPDwd+ACAxNZEnyj9BUlISL730ktl9U/PmzaNUqVLZjkuIhzF+L8wHPoO3kt7Ksv6qVasICQkxWTZ16tTH4qRDiEdR+/btTV7/999/D70n15hYWAL1oWyjsoTGhGa5TknQrVs37G0NP5paOGVv0lkooMTC2tqaRo0asW3bNuMyvV7Ptm3bsux1EKKg+fr6smDBAi5cuMDgwYMznNwmOTmZ+fPnU6NGDXr06JGjYZLD4sLovrI7T/74JHHJD5/ILDuWH1/OX0F/mS2PTTJ8GV6Ovoy3U+Y3DefW/mv7+Xrv1yTrkhmwdgCRCZG52s6xsGM0nNeQmYEzH1pXq9Gyve923vZ/m971e1OtTDVGjRrFoUOHTOr169ePtm3b5ioeITJjTAjigGTQ6/RZ1v/+e9PJ85o3b2524iKEKFqRCZEsPrKYgWsH8swzz5i0+6mpqfzzzz9Zrm9MLByBF2Brha28//f7BRhx8WBlZUVN75rYW9nj5ZH9ewNznVjExcVx9OhR48hOwcHBHD161DiU1+jRo1mwYAFLly7lzJkzDB06lPj4eOMoUUIUJR8fH+bNm0dQUBBDhgzJMMFQSvH777/j7+9Pq1at+PPPPx/6q/ubG95k7bm1BEcH897W97Ksmx3f7P2GPn/04dXVr5r9QvJmozfxr+DPh099aByKNT9VL1ud/g0Mf6+TnplEWfuyD1nDQK/Xc/36dfbv38+GnRvwX+DPhagLfPDPB5y+dfqh6/u6+DKr/SyWPb+MDz/8kDlz5pjGVb063377bc53SIiHyMk8FgcPHmTv3r0my0aNGoVGoyEyIZLeq3uz9OhSbty5kckWhBCF4ZXfX2HAugEsOrqIi/EXTYYKB/jrL/Mf7u5TaUeESjvUrEMJH2r2nmFNhpGqT6WlV8vsr5Tbmzq2b9+e4Y2wffv2Ndb57rvvlLe3t7K2tlZNmzZVe/fuze3b5ZjcmChyIjQ0VA0bNuyhMyvXrVtXzZkzR8XGxma4nQuRF5T9p/aq3Bfl1OrTq/MUU3Jqsmq6oKlx5svpu6eb1dHr9SpVl5qn93mY3SG7VYouJcs6J0+eVB9//LFq3bq1sre3Nz1uz92buXMIyqO+h2rfvr0aM2aMWrFihQoODs7wptbr16+bzZQKKFtbW3Xs2LGC2tXHinxHPnD/WPTr1y/bs7n37dvXpG7FihVVSorh72TlyZXGv9u8DGQghMi72ftnG/8eP931qfr8889N/nZ9fHwyHVzhxo0bD+o6oXgS9cavb6hN5zcV8l4UncSUxBy1F/kyKlRxJI2myI1r166p9957Tzk6OmaZYJQuXVoNGTIkw5PcPy/8qW7G3cyXeKLvRqvmC5urSdsnZXudjec3qk92fpIv75+V5ORktWzZMlWvXr0sjxWWKPzvjSyRQbmbm5tq06aN6t+/v+rfv79q165dhgmeRqNRy5cvL/D9elzId+QD94/F4MGDDZ+3cijqo1qMaqFCo0PN6t+8eVPZ2NiYfD6nTp1qLB+yfojxRGZL0JbC3BUhRDrXY6+rsX+NVYFXApVOr1NHjx41a18uXLiQ4bp///23ST17e/vHYkSo9CSxUNJoiryJjo5Wn3/+uSpfvnzWJ82gmjdvrv73v/+pu3fvFkgsiSmJ2R6qctzWccYTmh3BOwokntTUVLVgwQLl4+Pz0GOT7YcHigEoaqLQmJdrtVr1448/Fsj+PK7kO/KB+8firbfeMnzmnsH4d7Tx/Eaz+tOmTTP5fFpbW6vw8HBjeXJqstodsltN/GeiSkhOKMxdEUI8hF6vV+7u7iZ/w/Pmzcuw7jfffGNSr1GjRoUcbfGQk/ZChq4QIgNOTk689957BAcHs3DhQmrWrJlp3f/++4/XXnuNihUr8u6775oNTZdXNpY22R6qMu29FouPLs7xe+n0Onqv7s2OyzsyLN+5cyeNGjVi0KBBXL58OcttWVlZUbp0aWxsbB7+xi0Bb6AX4GdaVKZMGdatW8fAgQOzsQdC5J619b1ZoNKMMnv77m2TOnq9nvnz55ss69mzJ25ubsbXVhZWtPRuycetPsbOyq7A4hVC5JxGo6F169Ymy9IONpTW6dOm9wXWrl27wOIqKSSxECILNjY2DBgwgFOnTvHnn3/StWvXTIeSjIyM5Msvv6Ru3bo0bNiQmTNnEhQSxKy9s/j99O/Zer+/L/3NlB1TiE+Of3jlDIz0H0mHqh2Y13kei7otyvH6Wy5u4ecTP9NqaSuTm89DQ0Pp2bMnzz77LMeOHctw3QoVKjBixAjWrFnDtWvXSExM5M6dOyQmJpKQkMDRo0f55ZdfGDVhFB4jPLBvfW/uD0vA4d5G4oF7eZm1tTVvvPEGJ06coFOnTjneFyFyyphYXAb+hKZXm9Lcq7lJnb///pvg4GCTZW+9lfWwtEKI4qVNmzYmr7dv345ebz4KnMkPhVaSWGSH+WD+QggzWq2W9u3b0759e0JDQ/nxxx9ZsGABYWFhGdY/evQoRy8cZcyNMVAaylAGr05eNGnUJNPeB51ex6i/RnHy5knmHZrHngF78HXxzVmcGi0bX92Y68m4fj75s/F5C68WJCYmMmPGDKZNm8bdu3czXKdp06Z8+OGHdO7cOdOky87ODj8/PyrVqMTbV9/mpuVN7FrbsW76Ou4G3+XSpUvsitgFFtB4XGPq1atHQEAALi4uudoPIXLDODpcuOHhWd7T7G9w3rx5Jq/r16+Pv79/IUUohMituOQ4dlzewfbg7Qx9dqhJ2a1btzh16hT16j2Y/FWlHREKYDhMTpnMuoXr+G/gf4UV9iNHEgshcsjb25uPP/6YiRMnsnbtWubOnZtxN2o8cBMoDVFE4f+SPxVSKtC5c2eeffZZWrRogZfXg7Gh913bx9mIswB4OXnh4+yTq/jyMsPvgi4L6FStE6tOruLG7hvU7ljb7NfZ++rWrctXX33Fc889l+33dLZ15qXaLzH7wGw8SnvQrE4zXJu4AjCOcbmOW4j8kH7Y6eTkZJPXYWFhrFu3zmTZm28+mFVbKcVH2z+imVczWnq3xNHGESFE8TBg7QBWnV4FwMt1XsbHx8fkkt5t27aZJBZXr17l9u17l0JqgNKQpE/ibmrGP7IJA7kUSohcsrKyokePHvz999+cPXuWsWPH4unpaVppJ3AS+AG4DNeuXWPevHm88soreHt7U6lSJV599VVmz56Ndbg1hwYc4vmaz/Plc1/mKUFIK1Wfil5lPdEXGE6Kgs4GcX71ef4b9R9DBw/NMKkoU6YMs2fP5siRI7Rt2zbHcX4e8DmdqnViba+1uNq75mhdIQqS8VKoe9InFn/88YfJ3Bb29vb07t3b+PpMxBmm7p5Kp5870Xt1b4QQxcdzlZ8zPv/r4l9ml0OlnyjvyJEjD15YgeVVS2q61qRG2RoFGuejTnoshMgHNWrUYMaMGUyfPp0dO3bw008/sXr1amJDYiEk8/VCQ0MJDQ3ll19+AQyXXFWrVo3pVaazwmcFlSpVolKlSnh6euLk5ISjoyOOjo7GX1Y1Gg0ajQa9Xk9ycjJJSUnGfy9GXWRF0Ao2Xd3EuBrjqGtf16Q8NjaWiIgIwsPDOXXqFMePH3/w60wGtFotb775Jp988glly2ZvsryMlLIuxYZXN+R6fSEKSvoei7u6u1yLvUYFR8NkWGvWrDEp79atG05OTsbXaQc9eLbSswUVphAiF9pXbc+QRkNoV7UdrX1bs+HaBhYuXGgs37lzJ6mpqcaJMu9PAA1AMrQMbsn2RdsLOepHjyQWQuQjCwsL2rRpQ5s2bZg/fz67d+9m/fr1rF+/nosXLz50fb1ez7lz5zh37lzeg6kNvGx4+u7yd2F17jfVsmVLvvvuOxo0aJD3uIQopkx6LMbAHoc9tFraivMjzhMTE8P27aYnFd27dzd53bNOT9xLubPj8g7aVW1XGCELIbLJy8mLOZ3nGF+nHxkqNjaWQ4cOGe+ZMumxAGn/skkuhRKigFhZWdG6dWu+/vprLly4wOnTp/niiy9o16Udzs7ODyq6Z7qJvDkHJAC6bNStDTxtHkubNm3YvHkzu3btki9VUeKZ9FgkGf4JizMM0LB161ZSUlKMxdbW1rRv395k/bL2ZXmx9ot81/E76rrVLfB4hRC55+HhYTbKU9r7JQ8fPmxS1rBhw0KJ61EniYUQhUCj0RDjEMN2z+1c63CNWxG3OHnyJBO/nwhDwG6IHZTP5zfVAb8CX/Hw3orGQGtgKHjU82D48OEcPHiQv//+m3bt2uXb/R7i8RUVFUXv3r1xdHTE2dmZgQMHEhcXl2X9ESNGUKNGDezs7PD29mbkyJHExMSY1Lt/OWDax4oVK3IVo0licRVK3SxFp+qd0Ol1/PnnnyZ1n332WRwcHBBCPLrS32dxP7G4cuUKoaGhJmWNGjUqtLgeZXIplBCFQCnF6L9GE3g1EIDfz/zOy3VeZuveraCBux53mbp8Ks+Veo7Tp08TEhJi8oiIiCA2NhalVLbfU6PRYBNmg7W1NTbl7v1r8+DfUqVK4erqilM5J372+hkdOrxLexN8NDjTYWOFyK3evXtz48YN4y///fv3Z/Dgwfz8888Z1r9+/TrXr1/nyy+/pHbt2oSEhDBkyBCuX7/Ob7/9ZlJ38eLFJr0HJj2COWByKdQaqFijIr/M/gWlFJs2bTKp27Fjx1y9hxCiaOn0Og7dOETglUBat27Nd999ZyzbtWsX0dHR/Pvvvybr2La3ZfKpyVS6VokJT0/A2da5kKN+dEhiIUQh0Gg0fPTMR3RY3oHqZatT160uGo2GT1t/yoC1A7C2sGbMU2OwtbSladOmGW5Dr9cTFxdHbGwser3eLMmwsbExSRwsLCyy3dPwcfTHbDi/AWsLa0kqRL47c+YMmzdv5sCBAzRu3BiA7777jo4dO/Lll1+aj6aGYTjj339/MLFklSpV+PTTT+nTp4/JDZZgSCQ8PDzyHGdmo0IdPXrUbM6a9InFP8H/4GTjRH33+lhZmN4ELoQoPrqv7M768+sBODrgKNbW1sa/9dTUVP7880+zxMK+jj2/nTH8oDHl2SmFG/AjRhILIQpJuyrtmPHcDAY9MQgnW8NIMq19W3Ni6Amu37mOraVtlutrtVrjqFC5lZSahI2ljdlyH2cfhjcdnuvtCpGVwMBAnJ2djUkFQEBAAFqtln379pndBJ2ZmJgYHB0dTZIKgGHDhvHGG29QuXJlhgwZQv/+/bNMqpOSkkhKSjK+jo2NBcxHhbp/T8X69etNllepUoVq1aqZLBu+aThnIs7gZOPErXdvSXIhRDHVrGIzY2KxN3wvAQEBJj2Sv/32G8ePHzdZRzkqUOBq70op61KFGu+jRhILIQqJRqNhbPOxZssdbByoYVNw42In65L56r+vWH12Nc62zmx9bWuBvZcQGQkLC8PNzc1kmaWlJWXKlMl09vr0IiIi+OSTTxg8eLDJ8o8//pjWrVtjb2/Pli1beOutt4iLi2PkyJGZbmvatGlMmWL+q2NmE+SlnxSvS5cuJq+j7kZxJuIMANXLVpekQohirH3V9hwJO0JA5QA6VeuE9nmtSWKxerX5TYnr266nfI3yRCZEFmaojyRJLIQo4ay0Vvx45Ecu3b6EhcaCqLtRlLErU9RhiRJg3LhxfP7551nWOXPmTJ7fJzY2lk6dOlG7dm0mT55sUjZx4kTj84YNGxIfH8+MGTOyTCzGjx/P6NGjTbbv5eVleilUGbjd+jbN5jfjkPUhk/W7du1q8lqr0fJN+28IvBpI3XIyGpQQxVnD8g359aVfja9feukl3n77be7ezXhGbV9fX5r7N0ej0VDZpXJhhfnIksRCiBJOo9HQvWZ3vgr8inru9bgae9WYWCw5uoRkXTKdq3fG08H8OnchsjJmzBj69euXZZ3KlSvj4eHBzZs3TZanpqYSFRX10Hsj7ty5Q/v27XFwcOCPP/4w61VIz9/fn08++YSkpCRsbMwv+4MH9yOlZ5JYaCGlZgp7b+yFNCHa2trSsmVLk/WcbZ0Z6T+Skf6ZJzNCiOLJ2dmZ3r178+OPP2ZY3rNnTxkZMQcksRDiMfC2/9sMazIMXxdfk+XT/p3G+cjzWGotiXg3wnjvhxDZUa5cOcqVK/fQes2aNSM6OppDhw4Zh2z8559/0Ov1xsmoMhIbG0u7du2wsbFh3bp12NpmfR8SGG60dnFxyTSpyIpJ0hKbpsDuwdNatWo9NLkRQjxaRo8ezdKlS03mqgHDjxBvvPFGEUX1aJLhX4R4DHg5eZklFRciL3A+8jwAzb2aS1IhCkytWrVo3749gwYNYv/+/ezZs4fhw4fTq1cv44hQ165do2bNmuzfvx8wJBVt27YlPj6ehQsXEhsbS1hYGGFhYeh0hlkf169fz48//sjJkycJCgpizpw5fPbZZ4wYMSJXcZokDMnAdzAwfCCkGRG3Tp06udq2EKL4uRx9mQ3nN1CrVq0ML+ucPn06IdoQFh1ZxL+h/5KQklAEUT5apMdCiMdUlTJV2P/GftafX0+NsgV387gQAMuXL2f48OG0adMGrVbLiy++yLfffmssT0lJ4dy5cyQkGBruw4cPs2/fPgCqVq1qsq3g4GB8fHywsrJi9uzZjBo1CqUUVatWZebMmQwaNChXMZr1ckTCiUMnTBaln6k3OjGahJQEuZRQiEdMm2Vt+Cf4H2wsbLj9/m3eeecd7O3t+e2330hJSeGFF15gxIgRvL7mdX46/hMAJ4aeoK6b3EeVFY3KyYxbj5DY2FicnJyMwxMKIR4IjwvHvbR7UYchipB8Rz5w/1icPXuWmjVrmpRpNBqTOWPWrl1rcvP2vIPzGLJxCN5O3vzQ8Qc6Ve9UaHELIXJv0LpB/HjEcF/FX33+om2VthnW8//Rn/3X9qNBQ/wH8dhZ2WVYryTLSXshPRZCPEZ2Xt7JF/99wZaLWzg59CQ1XKWnQoj77O3tzZal/+0tfY/Ff1f/AyA0JlRGWxPiEdK+antO3TpFl+pdqOVaK9N609tM5+TNk4THhz+WSUVOSWIhxGNkZ8hONl3YRO96vQmKCpLEQog0zBILR8AbcAIuge1tW3x9Te9VesLjCUJjQjkWdownyj9RWKEKIfLoxdov8mLtFx9ar5VvK1r5tiqEiEoGuXlbiMfIW03ewtPBk78u/oWzrXNRhyNEsWJlZWV6A7c30AN4DqhsuAndwsLCZJ23n3yb7X23E/FeRIaz2gshxONEEgshHiOu9q7se2Mf7aq0Y96heaTqU4s6JCGKlVKlSj14EZGmwM38Mqi0tBppToUQQi6FEuIxU9GxIj+98FNRhyFEsVSqVCmio6MNLyKA7cBN4AbUeU+GmhWiJLp99zb7r+2nXdV2JsuPhR2jXKlyMupbDshPLEIIIcQ9Jj0WqcBO4AwQbd5jkZSaVIiRCSEKwuD1gyk3oxwdlncgPC7cpKzf2n5UmFmBijMrkqJLyWQLIi1JLIQQQoh7TBKLdNJOjpesS8btSzf8f/Rnxp4ZhRGaEKIAlLMvh07pUCh+PfWrcXliaiInb54EwNnWGSsLq8w2IdKQxEIIIYS4J7PEwtbWdESog9cPEpsUy/5r+zlx80SG6wghir/e9XtTvnR5xjQbQ5vKbYzL9UrPp60/pYVXC5pWaFqEET5a5B4LIYQQ4p6M5rJAC75P+bL2/FpeqPUCALFJsdRyrcWZiDM8U+mZQo5SCJFfaperzZVRV7DQmo74Zm9lz3st3uO9Fu+h0+uKKLpHjyQWQgghxD0uLi7mC0fCGeczDFo/iOdrPo9Wo6V91fa0r9qem/E3sbW0LfxAhRD5Jn1SkdNy8YBcCiWEEELc4+HhYb7whuGfqLtRHLlxxKTIrZQbjjaOhRCZEKKwyFDsuSeJhRBCCHFP+fLlzReegbaebfmxy4/4OPsUekxCiMKhlGLewXnYf2rPhcgLRR3OI0kSCyGEEOKejBIL51BnNg3YxMAnBuJk68S5iHNFEJkQoqCN3TKWIRuHkKJPoe6cusw/NL+oQ3rkSGIhhBBC3FO3bl2zZW3btsXCwnCN9bTd06g5uyZdf+nK4RuHCzs8IUQBmvD0BPr69cXF1oWuNbrSpXqXog7pkSM3bwshhBD3NGjQgGrVqnHhwoPLIIYNGwZATGIMXwZ+CcDGCxsZ13JckcQohCgYLnYuLHl+SVGH8UiTHgshhBDiHq1Wy5o1a+jSpQuNGzdm5cqVPP300wA42Trxa49fsdJaMeGpCTT3al7E0QohRPEiPRZCCCFEGrVr12bdunUZlrWr2o5/B/xLo/KNCjkqIYQo/iSxEEIIIXJAZuEVQoiMFdtLoaKjo2ncuDENGjSgbt26LFiwoKhDEkIIIYQQQmSi2PZYODg4sGvXLuzt7YmPj6du3bq88MILlC1btqhDE0IIIYQQQqRTbHssLCwssLe3ByApKQmlFEqpIo5KCCGEEEIIkZFcJxa7du2iS5cueHp6otFoWLNmjVmd2bNn4+Pjg62tLf7+/uzfvz9H7xEdHY2fnx8VK1bk3XffxdXVNbfhCiGEEEIIIQpQrhOL+Ph4/Pz8mD17doblK1euZPTo0UyaNInDhw/j5+dHu3btuHnzprHO/fsn0j+uX78OgLOzM8eOHSM4OJiff/6Z8PDw3IYrhBBCCCGEKEC5vseiQ4cOdOjQIdPymTNnMmjQIPr37w/A3Llz2bhxI4sWLWLcOMOkQkePHs3We7m7u+Pn58fu3bvp0aNHhnWSkpJISkoyvo6JiQEgNjY2W+8hhBCPk/vfjXKJ6YNjIO2FEEKYy0l7USA3bycnJ3Po0CHGjx9vXKbVagkICCAwMDBb2wgPD8fe3h4HBwdiYmLYtWsXQ4cOzbT+tGnTmDJlitlyLy+vnO+AEEI8Ju7cuYOTk1NRh1GkIiMjAWkvhBAiK9lpLwoksYiIiECn0+Hu7m6y3N3dnbNnz2ZrGyEhIQwePNh40/aIESOoV69epvXHjx/P6NGjja+jo6OpVKkSoaGhj32jWdBiY2Px8vLiypUrODo6FnU4JZ4c78JTko+1Uoo7d+7g6elZ1KEUuTJlygBIe1EISvLfVHEkx7vwlORjnZP2otgON9u0adNsXyoFYGNjg42NjdlyJyenEvcfXFw5OjrKsS5EcrwLT0k91nISbaDVGm43lPai8JTUv6niSo534Smpxzq77UWBDDfr6uqKhYWF2c3W4eHheHh4FMRbCiGEEEIIIYpQgSQW1tbWNGrUiG3bthmX6fV6tm3bRrNmzQriLYUQQgghhBBFKNeXQsXFxREUFGR8HRwczNGjRylTpgze3t6MHj2avn370rhxY5o2bcqsWbOIj483jhJV0GxsbJg0aVKGl0eJ/CXHunDJ8S48cqwfD/L/XHjkWBcuOd6FR461gUblcqzBHTt20KpVK7Plffv2ZcmSJQB8//33zJgxg7CwMBo0aMC3336Lv79/ngIWQgghhBBCFD+5TiyEEEIIIYQQ4r4CucdCCCGEEEII8XiRxEIIIYQQQgiRZ5JYCCGEEEIIIfKsRCYWs2fPxsfHB1tbW/z9/dm/f39Rh1QiTJ48GY1GY/KoWbOmsTwxMZFhw4ZRtmxZSpcuzYsvvmg2l4nI2K5du+jSpQuenp5oNBrWrFljUq6U4qOPPqJ8+fLY2dkREBDAhQsXTOpERUXRu3dvHB0dcXZ2ZuDAgcTFxRXiXjwaHnas+/XrZ/Y5b9++vUkdOdYlh7QXBUPai4Ij7UXhkjYjZ0pcYrFy5UpGjx7NpEmTOHz4MH5+frRr146bN28WdWglQp06dbhx44bx8e+//xrLRo0axfr161m1ahU7d+7k+vXrvPDCC0UY7aMjPj4ePz8/Zs+enWH5F198wbfffsvcuXPZt28fpUqVol27diQmJhrr9O7dm1OnTrF161Y2bNjArl27GDx4cGHtwiPjYccaoH379iaf819++cWkXI51ySDtRcGS9qJgSHtRuKTNyCFVwjRt2lQNGzbM+Fqn0ylPT081bdq0IoyqZJg0aZLy8/PLsCw6OlpZWVmpVatWGZedOXNGASowMLCQIiwZAPXHH38YX+v1euXh4aFmzJhhXBYdHa1sbGzUL7/8opRS6vTp0wpQBw4cMNb5888/lUajUdeuXSu02B816Y+1Ukr17dtXdevWLdN15FiXHNJeFBxpLwqHtBeFS9qMhytRPRbJyckcOnSIgIAA4zKtVktAQACBgYFFGFnJceHCBTw9PalcuTK9e/cmNDQUgEOHDpGSkmJy7GvWrIm3t7cc+zwKDg4mLCzM5Ng6OTnh7+9vPLaBgYE4OzvTuHFjY52AgAC0Wi379u0r9JgfdTt27MDNzY0aNWowdOhQIiMjjWVyrEsGaS8KnrQXhU/ai6IhbcYDJSqxiIiIQKfT4e7ubrLc3d2dsLCwIoqq5PD392fJkiVs3ryZOXPmEBwczFNPPcWdO3cICwvD2toaZ2dnk3Xk2Ofd/eOX1ec6LCwMNzc3k3JLS0vKlCkjxz+H2rdvz7Jly9i2bRuff/45O3fupEOHDuh0OkCOdUkh7UXBkvaiaEh7UfikzTBlWdQBiEdHhw4djM/r16+Pv78/lSpV4tdff8XOzq4IIxMi//Tq1cv4vF69etSvX58qVaqwY8cO2rRpU4SRCfHokPZCPC6kzTBVonosXF1dsbCwMBtZIjw8HA8PjyKKquRydnamevXqBAUF4eHhQXJyMtHR0SZ15Njn3f3jl9Xn2sPDw+yG09TUVKKiouT451HlypVxdXUlKCgIkGNdUkh7UbikvSgc0l4Uvce9zShRiYW1tTWNGjVi27ZtxmV6vZ5t27bRrFmzIoysZIqLi+PixYuUL1+eRo0aYWVlZXLsz507R2hoqBz7PPL19cXDw8Pk2MbGxrJv3z7jsW3WrBnR0dEcOnTIWOeff/5Br9fj7+9f6DGXJFevXiUyMpLy5csDcqxLCmkvCpe0F4VD2oui99i3GUV993h+W7FihbKxsVFLlixRp0+fVoMHD1bOzs4qLCysqEN75I0ZM0bt2LFDBQcHqz179qiAgADl6uqqbt68qZRSasiQIcrb21v9888/6uDBg6pZs2aqWbNmRRz1o+HOnTvqyJEj6siRIwpQM2fOVEeOHFEhISFKKaWmT5+unJ2d1dq1a9Xx48dVt27dlK+vr7p7965xG+3bt1cNGzZU+/btU//++6+qVq2aeuWVV4pql4qtrI71nTt31NixY1VgYKAKDg5Wf//9t3riiSdUtWrVVGJionEbcqxLBmkvCo60FwVH2ovCJW1GzpS4xEIppb777jvl7e2trK2tVdOmTdXevXuLOqQSoWfPnqp8+fLK2tpaVahQQfXs2VMFBQUZy+/evaveeust5eLiouzt7VX37t3VjRs3ijDiR8f27dsVYPbo27evUsowhODEiROVu7u7srGxUW3atFHnzp0z2UZkZKR65ZVXVOnSpZWjo6Pq37+/unPnThHsTfGW1bFOSEhQbdu2VeXKlVNWVlaqUqVKatCgQWYnmnKsSw5pLwqGtBcFR9qLwiVtRs5olFKq8PpHhBBCCCGEECVRibrHQgghhBBCCFE0JLEQQgghhBBC5JkkFkIIIYQQQog8k8RCCCGEEEIIkWeSWAghhBBCCCHyTBILIYQQQgghRJ5JYiGEEEIIIYTIM0kshBBCCCGEEHkmiYUQQgghhBAizySxEEIIIYQQQuSZJBZCCCGEEEKIPJPEQgghhBBCCJFnklgIIYQQQggh8kwSCyGEEEIIIUSeSWIhhBBCCCGEyDNJLIQQQgghhBB5JomFEEIIIYQQIs8ksRBCCCGEEELkmSQWQhSQzz77jCeffJJy5cpha2tLtWrVeOedd7h165ZJvevXr9OnTx9q1KiBg4MDzs7ONG3alKVLl6KUKqLohRBCFJbsthfpLV++HI1GQ+nSpQspUiGyplFy5iJEgXjxxRcpV64cNWvWxMHBgTNnzrBgwQLc3Nw4evQopUqVAuD48eOMHDmSFi1a4O3tTUpKClu3bmXdunWMHz+ezz77rIj3RAghREHKbnuRVlxcHDVq1CAmJsb4WoiiJomFEIXo999/p0ePHvzyyy/06tUry7pdunRh+/btxMTEYGFhUUgRCiGEKA4e1l6MGzeONWvW0LhxY9asWSOJhSgW5FIoIXJo8uTJaDQazp49y8svv4yjoyNly5bl7bffJjExMct1fXx8AIiOjn7o+/j4+JCQkEBycnI+RC2EEKKwFVR7ceHCBb7++mtmzpyJpaVlAUQuRO7Ip1GIXHr55Zfx8fFh2rRp7N27l2+//Zbbt2+zbNkyYx2lFJGRkaSmpnLhwgXGjRuHhYUFzz77rNn27t69S3x8PHFxcezcuZPFixfTrFkz7OzsCnGvhBBC5Lf8bi/eeecdWrVqRceOHfn1118LcU+EyJokFkLkkq+vL2vXrgVg2LBhODo68sMPPzB27Fjq168PQHh4OOXLlzeuU7FiRX7++Wdq1qxptr1vvvmG8ePHG1+3adOGxYsXF/BeCCGEKGj52V5s3LiRLVu2cOzYscLbASGySS6FEiKXhg0bZvJ6xIgRAGzatMm4rEyZMmzdupX169fz8ccf4+rqmul1sK+88gpbt27l559/5tVXXwUMvRhCCCEebfnVXiQnJzNq1CiGDBlC7dq1Cz5wIXJIeiyEyKVq1aqZvK5SpQparZbLly8bl1lbWxMQEABA586dadOmDS1atMDNzY3OnTubrF+pUiUqVaoEGJKMwYMHExAQwLlz5+RyKCGEeITlV3vx9ddfExERwZQpUwotdiFyQnoshMgnGo3moXWaN29O+fLlWb58+UPr9ujRgytXrrBr1678CE8IIUQxkZv2IiYmhqlTpzJo0CBiY2O5fPkyly9fJi4uDqUUly9f5ubNmwUduhBZksRCiFy6cOGCyeugoCD0er1xJI/MJCYmGscdz8r9y6CyU1cIIUTxlR/txe3bt4mLi+OLL77A19fX+Pj9999JSEjA19eXwYMHF9QuCJEtcimUELk0e/Zs2rZta3z93XffAdChQwfi4+PRaDTY29ubrPP7779z+/ZtGjdubFx269YtypUrZ7b9hQsXotFoeOKJJwpoD4QQQhSG/Ggv3Nzc+OOPP8y2/e233xIYGMgvv/xicvO3EEVBEgshcik4OJiuXbvSvn17AgMD+emnn3j11Vfx8/Pj6NGjBAQE0LNnT2rWrIlWq+XgwYP89NNP+Pj48Pbbbxu38+mnn7Jnzx7at2+Pt7c3UVFR/P777xw4cIARI0ZQtWrVItxLIYQQeZUf7YW9vT3PP/+82bbXrFnD/v37MywTorBJYiFELq1cuZKPPvqIcePGYWlpyfDhw5kxYwZgGCbwxRdf5J9//mHp0qWkpKRQqVIlhg8fzocffkjZsmWN2+nUqRMXL15k0aJF3Lp1C1tbW+rXr8/ixYvp27dvUe2eEEKIfJJf7YUQxZ1GKaWKOgghHiWTJ09mypQp3Lp1C1dX16IORwghRDEl7YV43MjN20IIIYQQQog8k8RCCCGEEEIIkWeSWAghhBBCCCHyTO6xEEIIIYQQQuRZjnssrl27Rp8+fShbtix2dnbUq1ePgwcPGsuVUnz00UeUL18eOzs7AgICzCaGiYqKonfv3jg6OuLs7MzAgQOJi4szqXP8+HGeeuopbG1t8fLy4osvvsjlLgohhBBCCCEKWo4Si9u3b9OiRQusrKz4888/OX36NF999RUuLi7GOl988QXffvstc+fOZd++fZQqVYp27dqRmJhorNO7d29OnTrF1q1b2bBhA7t27TKZLTI2Npa2bdtSqVIlDh06xIwZM5g8eTLz58/Ph10WQgghhBBC5LccXQo1btw49uzZw+7duzMsV0rh6enJmDFjGDt2LAAxMTG4u7uzZMkSevXqxZkzZ6hduzYHDhwwzia5efNmOnbsyNWrV/H09GTOnDl8+OGHhIWFYW1tbXzvNWvWcPbs2WzFqtfruX79Og4ODmg0muzuohBCPBaUUty5cwdPT0+02sf7djtpL4QQInM5ai9UDtSqVUu98847qkePHqpcuXKqQYMGav78+cbyixcvKkAdOXLEZL2nn35ajRw5Uiml1MKFC5Wzs7NJeUpKirKwsFCrV69WSin12muvqW7dupnU+eeffxSgoqKishXrlStXFCAPechDHvLI4nHlypWcNAMlkrQX8pCHPOTx8Ed22osczbx96dIl5syZw+jRo/nggw84cOAAI0eOxNramr59+xIWFgaAu7u7yXru7u7GsrCwMNzc3EzKLS0tKVOmjEkdX19fs23cL0t76dV9SUlJJCUlGV+rex0xV65cwdHRMSe7KYQQJV5sbCxeXl44ODgUdShF7v4xkPZCCCHM5aS9yFFiodfrady4MZ999hkADRs25OTJk8ydO5e+ffvmLtp8Mm3aNKZMmWK23NHRURoKIYTIhFz68+AYSHshhBCZy057kaMLa8uXL0/t2rVNltWqVYvQ0FAAPDw8AAgPDzepEx4ebizz8PDg5s2bJuWpqalERUWZ1MloG2nfI73x48cTExNjfFy5ciUnuyaEEEIIIYTIgxwlFi1atODcuXMmy86fP0+lSpUA8PX1xcPDg23bthnLY2Nj2bdvH82aNQOgWbNmREdHc+jQIWOdf/75B71ej7+/v7HOrl27SElJMdbZunUrNWrUyPAyKAAbGxvjr03yq5MQQgghhBCFK0eJxahRo9i7dy+fffYZQUFB/Pzzz8yfP59hw4YBhi6Sd955h6lTp7Ju3TpOnDjB66+/jqenJ88//zxg6OFo3749gwYNYv/+/ezZs4fhw4fTq1cvPD09AXj11VextrZm4MCBnDp1ipUrV/LNN98wevToHO/gxYsXc7yOEEIIIYQQImdylFg0adKEP/74g19++YW6devyySefMGvWLHr37m2s89577zFixAgGDx5MkyZNiIuLY/Pmzdja2hrrLF++nJo1a9KmTRs6duxIy5YtTeaocHJyYsuWLQQHB9OoUSPGjBnDRx99ZDLXRXaNHDkyx+sIIYR4tMyePRsfHx9sbW3x9/dn//79RR2SEKIYUUpxNfYqu0J2cS7i3MNXELmSo3ksHiWxsbE4OTnh7e1NSEhIUYcjhBDFyv3vyJiYmEf+0tGVK1fy+uuvM3fuXPz9/Zk1axarVq3i3LlzZqMQZqQkHQshBCSmJmKpsSQ+Lp6rV68SEhLC2vNrmR9j+BHb84ondjvsiImJITk5mVKlSmHtb41bBTdervcyL7V/yXiZv8jZd2SJTyy0Wi1JSUlYWuZoACwhhCjRStLJtL+/P02aNOH7778HDCMYenl5MWLECMaNG/fQ9e8fi6lTp/Lhhx/mKob7g5DExsaSmJhIUlISiYmJJs/1ej16vR6lVJbP87LsYeWpKpUkfRI6pcNSb4lWrzWW6fQ6bmtvo1d6tDotpVNLm6wbr4knRZOCXq/HPtke9A+Gdk/VpJJsmYxGo8Fab421sjaOIKPRaLhrcReNRoMFFtjobUzKdFodCoVWo8USSzRoTMoze56b8oLYZlG+Jxj+D+7/P2T1PCd182O9rLahV3pSdCmk6FNAB+gMf7c6nQ6dXkeiMvy9qFSFVqdFp9MZy5P1ycZ6pGBSdtXtKjd8bpDimIJmoQZ1Lc0pbhng/kUsh4F1mBoGlDPEwjfg5+tHt27deP7552nQoIHZiEhJSUkcP36cAwcO8M+xf7h14RZRt6JISkrCysoKS2tL4ivHU0pbCmeNMx4aD+zt7bG3t8fGxsZse/nh/jHWK/2D460eLFcodEqHXulBgVZpH5QpRRJJ6HV60IOjvSPt2rXjueeeY/HixYwYMUISCycnJwCioqIyvelbCCEeRyUlsUhOTsbe3p7ffvvNeC8fQN++fYmOjmbt2rUP3cb9Y+FQ3oHY67FZ1j1+/Djbt2/n6NGjhIaGcuXKFcLDw4mNzWA9e6AKYAPcAtJ3nncAnIFUYFW6Mj+gKaAB/kq3rgMw8F7ZBWBDunVfA3zulX+K4UTpvieArveerwWOpCmzBCbcex4CLE633R5A3XvPvwZi0pRVB16993wbsDvduuMAWwzHYXa6sg6A/73n84HracoqYNhXgH0YjkVagzGcMCYA36Yraw60uPf8d+BSmjIn4I17z88Am9Kt2xPwxDAt2Df3/r2vHtD63rKt99a/zwp4897zKxiOcVodgPvTdC25F/d9lYG2954HAsfSrTsAsAAigdXpyloCNe49Xw3cTlPmce99AU4AB9Ot+xJQ6l4sv6YrewKof+/5ZiAsTZkz0P3e8wvAv+nWfQXDiboe+D5dWQvguXvPVwBn05TZA+/de34O+CXdun2Aqhj+bqamK3sSaH/vefrPtwbD/+ttIBTT/zcX4O17zzP47Ht7e9OqVSucnJy4efMm586d4+TJk6RUSYFWgDswD7iRyX6cB37OYD8q3nv+OaafsSd48H+2HjiepswaeP/e/lwCfkq33Z5ArXvPvwTi0pTVulcOhr+lwHTrfnBv++HAHMxkp714LH7Gj4+Pl8RCCCFKoIiICHQ6XYYTs549ezbDddJPqHo/KbjT9Q53ku7gYGM6CZRSij/++IMvvviCffv2mW6sPoYTAFdgORCdpswZePHe8/2YJxa+gBuQnEGQDhhOqgHsMih3vvevfQZlWgwnoPefp00sVLp6ZFKWkYKa8iTtdtPHoCHru0Ft7z30GZRZYThhJoNtaDEc4/vbSK80huQjs/e8f0phnUG8rveex2DOCcP/+f266bd7f0T9jP5fPTGctVlkUFYG8Lr33CpdmQ1w/6qejEbir3gvroxyahcMSer9+NKyTLPdqAzWdbgXly6DsrTL0u9Pdj9nlhj+Nu6mWRZxb9u3MnhfhSGJycht4AcMifM18+JQj1CW/rPU/PhVxJBUgOH4p00s0h6vxAze0zpNHQ3mf5tWaZ6nZ5FFWXZltO79Y5+HLofHIrFISEh4eCUhhBCPhcwmVMUFvtj9BZ8EfGJcFBQUxIABA9i9O/1P8Pd48uDXwTKYJhZpE4b0J6Dw4GQ4oxMpfbp/05fF3fs3oxOWSAwnLBmdHMQAQffWTX/iqweO3lsvMoN1Q3hwspY+GboDnMSwLxEZrHsBw4lSRievERh+edVksN0UDCd6mkzWjSLz45DIgxPelHRleh78X2V0ipCAYZ/A/DimAPH3nqdmsO79E92MEsbUTJbff58UzE8y79OneTwK7mI4ThklFjHAZQz7kv746zB8RsH0RP2+cAxnrwrDZyptYnEJQy9dumPk7u6Ot7c3lSpVwsvLCy8vLypWrEi5cuWwsrIiJiaGS5cu8e+///L3sb+JTPsH4IKhF0QL7MXQc3NfIIaexXDM/57uAhsxJD+3MtiPaDL+0QAMxyT83j7eTVem50GvXkZ/p5E8SIDSf1YSMPwdZ/T3DxCMIWm5nUFZNj0Wl0IdPnyYhg0bFnFEQghRfDzOl0Jl1GPh5eUFfWHhmwsZ0GwAAIGBgXTq1InbFW8bkgcXDJfqpG016wMvYDhhXIPh5BrD3Eo2jjbo6+uxxhq7eDscoh3QaDRotVq0Wi06Gx1arRYNGqx11obn98rRgIXWwmRZ2ufZXVYY60DOr9HPzTp5LS+J72m8Tl9jej+GVqM1PkcDCkNdDYaytHWVVhmfW9z7Kfz+fRx69MZfti2wyHy7Gg1atDm6P8TCwgILC8NnPCf/ZvWwtrbGxcUFZ+f/t3fn0VHX97/HX5Nt2LJASDKgCYRNRNlCJEy99bjkR6DYqxVb9KCiol5sYitx5dSiPz0Wigf1qFzxVk9jj1WE1qWCopQlHiUgjfJTQFAUDBYmYWkyrElIvvePyUxmCTDfBDKZ+T4f58zJd+a75DOfTOYzr3l/vjNpSktLU2pqqrKystS9+6lewYc6efKk1q9fr3fffVfvvPOOvh/yvWdaneSZ+vZp4Pa543LlHO7U2DFj5XB4zqNobGxUY2OjTpw4oWPHjunYsWM6evSob9n/+eds8/bxqS6n28b7f93Q0KC1a9dqy5YtAcfmHIuWYFFRUaEJEyZEuEUA0HXESrCQPCdvjx8/Xs8//7wkz0mgOTk5KikpMXXytiRVVVUpOztbu3fvVn5+vg4ePCj9TJ53JSXpz9J5J8/TxIkTdeGFF6p3/97qlt5No7NHKyM9Q2lpaefsxEwAncswDG3+arPmr5ivTUc2aWjdUF2UdJEGDx6sESNGKC8vz/fcEWsMw1BlZaW+//57DRs2TGPHjuUcCy//b/AGAMSW0tJSzZgxQ/n5+Ro/fryeffZZHT16VLfddpvpY3nHiwceeMATKiTflJi4E3G64+E7tOiORXzSIGABNptNY0eN1Zuj3ox0UzqdzWZTfn6+8vPz2/5wilOwxDMjwQIAYte0adO0f/9+zZ07Vy6XS2PGjNHKlStDTugOx8mTJ7V792797W9/a71xs/STPj/R+395X6kpsfnuJACcDZYIFg0NpzpTCgAQC0pKSlRSUtLh4xw4ekC/e/d3Ur6kSkmGlBqXqhVlKwgVAHAGHfmgqqhBxQIAcEY9pd999juVHy2Xrpbn8+kl/exnP1NaWlokWwYAUYFgAQCAJB2Xfjjygwyb4fmo0krPzZdeeulpdwMAeFgiWDAVCgBwRs3SywUvq8eKHp5vCm75nPchQ4ZEtFkAEC0scY4FFQsAQDiOHDqiY5sCv7Fr8ODBEWoNAEQXS1QsCBYAgHDs3r075LYBAwZ0fkMAIApZIlgwFQoAEI6ampqA62lpaUpMTIxQawAgulgiWFCxAACEY//+/QHX+/TpE6GWAED0IVgAANDiwIEDAdfT09Mj1BIAiD6WCBZMhQIAhIOKBQC0nyWCBRULAEA4CBYA0H6WCBYnT56MdBMAAFHg4MGDAdcJFgAQPksEi6ampkg3AQAQBQ4fPhxwPTk5OUItAYDoY4lgQcUCABCOEydOBFzv0aNHhFoCANHHEsGCigUAoD0IFgAQPksECyoWAID2IFgAQPgsESyoWAAA2oNgAQDhs0SwoGIBAGiPnj17RroJABA1LBEsqFgAANqDigUAhI9gAQDAKRAsACB8lggWTIUCALQHwQIAwmeJYEHFAgDQHpxjAQDhs0SwoGIBAGgPKhYAED5LBAsqFgCA9ujWrVukmwAAUcMSwYKKBQCgPex2e6SbAABRwxLBgooFAKA9kpKSIt0EAIgaBAsAAE6BYAEA4bNEsGAqFACgPRITEyPdBACIGpYIFlQsAABmJSYmymazRboZABA1LBEsqFgAAMxiGhQAmGOJYEHFAgBgFsECAMyxRLCgYgEAMItgAQDmWCJYULEAAJhFsAAAcwgWAAC0gWABAOZYIlgwFQoAYBbBAgDMsUSwoGIBADCLYAEA5lgiWFCxAACYRbAAAHMsESyoWAAAzCJYAIA5HQoW8+fPl81m07333uu77cSJEyouLlZ6erp69eqlqVOnqrq6OmC/qqoqTZkyRT169FBmZqYeeOCBkKrCunXrlJeXJ7vdriFDhqisrKzd7aRiAQAwi2ABAOa0O1hs2rRJL730kkaNGhVw++zZs/Xee+9p2bJlKi8v1969e3Xdddf51jc1NWnKlClqaGjQ+vXr9eqrr6qsrExz5871bbNr1y5NmTJFV1xxhTZv3qx7771Xd9xxhz788MN2tZWKBQDALIIFAJjTrmBx5MgRTZ8+XX/605/Uu3dv3+11dXV65ZVX9PTTT+vKK6/UuHHj9Oc//1nr16/Xhg0bJEkfffSRtm3bptdee01jxozR5MmT9cQTT2jRokVqaGiQJC1evFi5ublauHChLrzwQpWUlOj666/XM8880647SbAAAJhFsAAAc9oVLIqLizVlyhQVFhYG3F5ZWanGxsaA24cPH66cnBxVVFRIkioqKjRy5EhlZWX5tikqKpLb7dbWrVt92wQfu6ioyHcMs5gKBQAwi2ABAOYkmN1hyZIl+vzzz7Vp06aQdS6XS0lJSUpLSwu4PSsrSy6Xy7eNf6jwrveuO902brdbx48fV/fu3UN+d319verr633X3W63b5mKBQDALIIFAJhjqmKxZ88e/fa3v9Vf//pXdevW7Vy1qV3mzZun1NRU3yU7O9u3jooFAMAsggUAmGMqWFRWVqqmpkZ5eXlKSEhQQkKCysvL9dxzzykhIUFZWVlqaGhQbW1twH7V1dVyOBySJIfDEfIpUd7rZ9omJSWlzWqFJM2ZM0d1dXW+y549e3zrqFgAAMxKTEyMdBMAIKqYChZXXXWVvvrqK23evNl3yc/P1/Tp033LiYmJWr16tW+fHTt2qKqqSk6nU5LkdDr11VdfqaamxrfNqlWrlJKSohEjRvi28T+GdxvvMdpit9uVkpIScPGiYgEAMItgAQDmmDrHIjk5WRdffHHAbT179lR6errv9pkzZ6q0tFR9+vRRSkqK7rnnHjmdTk2YMEGSNHHiRI0YMUI333yzFixYIJfLpUceeUTFxcWy2+2SpFmzZumFF17Qgw8+qNtvv11r1qzR0qVLtWLFinbdSSoWAACzEhJMn4YIAJZ21r95+5lnntHVV1+tqVOn6rLLLpPD4dBbb73lWx8fH6/ly5crPj5eTqdTN910k2655RY9/vjjvm1yc3O1YsUKrVq1SqNHj9bChQv18ssvq6ioqF1tIlgAQGwaOHCgbDZbwGX+/Pln5dgECwAwx2YYhhHpRpwLbrdbqampvuvNzc2y2WwRbBEAdB3e58i6urqAqaPRZuDAgZo5c6buvPNO323Jycnq2bNn2McIHi+87r//fj311FNnpZ0AEK3MjBeWeTumqamJd58AIAYlJyf7PvzjbGLMAABzzvpUqK6K6VAAEJvmz5+v9PR0jR07Vk899dRZ+8CO+Pj4s3IcALAKy7wdc/LkSd/J4QCA2PCb3/xGeXl56tOnj9avX685c+Zo3759evrpp0+5z+m+UNUfFQsAMIeKBQCgS3n44YdDTsgOvmzfvl2SVFpaqssvv1yjRo3SrFmztHDhQj3//PMBwSHY6b5Q1R/BAgDMscyzJt9lAQDR4b777tOtt9562m0GDRrU5u0FBQU6efKkdu/erQsuuKDNbebMmaPS0lLfdbfb3Wa4YCoUAJhjmWBBxQIAokNGRoYyMjLate/mzZsVFxenzMzMU25jt9vDmhpLxQIAzLHMsyYVCwCILRUVFdq4caOuuOIKJScnq6KiQrNnz9ZNN92k3r17d/j4VCwAwByCBQAgKtntdi1ZskSPPfaY6uvrlZubq9mzZwdMc+oIKhYAYI5lnjWZCgUAsSUvL08bNmw4Z8cnWACAOZb5VCgqFgAAM5gKBQDmWCZYULEAAJhBxQIAzLFMsKBiAQAwg2ABAOYQLAAAaANToQDAHMsEC6ZCAQDMoGIBAOZYJlhQsQAAmEHFAgDMsUywoGIBADCDigUAmGOZYEHFAgBgBsECAMwhWAAA0AamQgGAOZYJFkyFAgCYQcUCAMyxTLCgYgEAMIOKBQCYY5lgQcUCAGAGFQsAMMcywYKKBQDADIIFAJhDsAAAoA1MhQIAcywTLJgKBQAwg4oFAJhjmWBBxQIAYAbBAgDMsUywoGIBADCDqVAAYI5lggUVCwCAGVQsAMAcywQLKhYAADOoWACAOZYJFlQsAABmULEAAHMIFgAAtIFgAQDmWCZYMBUKAGAGU6EAwBzLBAsqFgAAM6hYAIA5lgkWVCwAAGZQsQAAcywTLKhYAADMoGIBAOYQLAAAaAPBAgDMsUywYCoUAMAMpkIBgDmWCRZULAAAZlCxAABzLBMsqFgAAMygYgEA5lgmWFCxAACEy2azKS7OMkMkAJwVlnnWJFgAAMLFNCgAMM8ywYKpUACAcDENCgDMs0ywoGIBAAgXFQsAMM8ywYKKBQAgXAQLADDPMsGCigUAIFxMhQIA8wgWAAAEoWIBAOZZJlgwFQoAEC4qFgBgnqlgMW/ePF1yySVKTk5WZmamrr32Wu3YsSNgmxMnTqi4uFjp6enq1auXpk6dqurq6oBtqqqqNGXKFPXo0UOZmZl64IEHQioK69atU15enux2u4YMGaKysrL23cMWVCwAAOGiYgEA5pkKFuXl5SouLtaGDRu0atUqNTY2auLEiTp69Khvm9mzZ+u9997TsmXLVF5err179+q6667zrW9qatKUKVPU0NCg9evX69VXX1VZWZnmzp3r22bXrl2aMmWKrrjiCm3evFn33nuv7rjjDn344YftvqNULAAA4SJYAIB5NsMwjPbuvH//fmVmZqq8vFyXXXaZ6urqlJGRoddff13XX3+9JGn79u268MILVVFRoQkTJuiDDz7Q1Vdfrb179yorK0uStHjxYj300EPav3+/kpKS9NBDD2nFihXasmWL73fdcMMNqq2t1cqVK8Nqm9vtVmpqqu/6Nddco3feeae9dxUAYor3ObKurk4pKSmRbk5EBY8XkjR06FB98803EWoRAHQdZsaLDp1jUVdXJ0nq06ePJKmyslKNjY0qLCz0bTN8+HDl5OSooqJCklRRUaGRI0f6QoUkFRUVye12a+vWrb5t/I/h3cZ7jPZgKhQAIFxULADAvHY/czY3N+vee+/VpZdeqosvvliS5HK5lJSUpLS0tIBts7Ky5HK5fNv4hwrveu+6023jdrt1/Phxde/ePaQ99fX1qq+v9113u90B65kKBQAIFydvA4B57a5YFBcXa8uWLVqyZMnZbE+7zZs3T6mpqb5LdnZ2wHoqFgCAcFGxAADz2hUsSkpKtHz5cq1du1bnn3++73aHw6GGhgbV1tYGbF9dXS2Hw+HbJvhTorzXz7RNSkpKm9UKSZozZ47q6up8lz179gSsp2IBAAgXwQIAzDMVLAzDUElJid5++22tWbNGubm5AevHjRunxMRErV692nfbjh07VFVVJafTKUlyOp366quvVFNT49tm1apVSklJ0YgRI3zb+B/Du433GG2x2+1KSUkJuPijYgEACBdToQDAPFNvyRQXF+v111/Xu+++q+TkZN85EampqerevbtSU1M1c+ZMlZaWqk+fPkpJSdE999wjp9OpCRMmSJImTpyoESNG6Oabb9aCBQvkcrn0yCOPqLi4WHa7XZI0a9YsvfDCC3rwwQd1++23a82aNVq6dKlWrFjR7jtKsAAAhIuKBQCYZ6pi8eKLL6qurk6XX365+vXr57u8+eabvm2eeeYZXX311Zo6daouu+wyORwOvfXWW7718fHxWr58ueLj4+V0OnXTTTfplltu0eOPP+7bJjc3VytWrNCqVas0evRoLVy4UC+//LKKiorafUeZCgUACBfBAgDM69D3WHRlwZ9LnpeXp8rKygi2CAC6jmj4Hosnn3xSK1as0ObNm5WUlBRy/p4kVVVV6e6779batWvVq1cvzZgxQ/PmzTMVDNr6Hosrr7wyZEouAFiRmfHCMm/JULEAgOjS0NCgX/7yl3I6nXrllVdC1jc1NWnKlClyOBxav3699u3bp1tuuUWJiYn6wx/+0KHfTcUCAMzr0BfkRRPOsQCA6PLf//3fmj17tkaOHNnm+o8++kjbtm3Ta6+9pjFjxmjy5Ml64okntGjRIjU0NHTod3PyNgCYR7AAAESliooKjRw5MuALVYuKiuR2u7V169ZT7ldfXy+32x1wCUbFAgDMs0ywYCoUAMQWl8sVECok+a57P7WwLWf6QlWJYAEA7WGZYNHY2BjpJgCA5T388MOy2WynvWzfvv2ctuFMX6gqMRUKANrDMm/JECwAIPLuu+8+3XrrrafdZtCgQWEdy+Fw6LPPPgu4rbq62rfuVOx2u+97k06FigUAmGeZZ86OnsgHAOi4jIwMZWRknJVjOZ1OPfnkk6qpqVFmZqYkadWqVUpJSdGIESM6dGyCBQCYZ5lnToIFAESXqqoqHTp0SFVVVWpqatLmzZslSUOGDFGvXr00ceJEjRgxQjfffLMWLFggl8ulRx55RMXFxWesSJwJU6EAwDyCBQCgS5o7d65effVV3/WxY8dKktauXavLL79c8fHxWr58ue6++245nU717NlTM2bM0OOPP97h303FAgDMs8wzJ8ECAKJLWVmZysrKTrvNgAED9P7775/1302wAADzLPOpUM3NzXzkLAAgLEyFAgDzLBMsJKoWAIDwULEAAPMIFgAABKFiAQDmESwAAAhCxQIAzCNYAAAQhGABAOYRLAAACMJUKAAwj2ABAEAQKhYAYB7BAgCAIAQLADCPYAEAQBCmQgGAeQQLAACCULEAAPMIFgAABCFYAIB5BAsAAIIwFQoAzCNYAAAQhIoFAJhHsAAAIAjBAgDMI1gAABCEqVAAYB7BAgCAIFQsAMA8SwWL48ePR7oJAIAoQLAAAPMsFSyOHTsW6SYAAKIAU6EAwDxLBYujR49GugkAgChAxQIAzLNUsKBiAQAIBxULADDPUsGCigUAIBxULADAPIIFAABBCBYAYB7BAgCAIEyFAgDzLBUsOMcCABAOKhYAYJ6lggUVCwBAOAgWAGAewQIAgCBMhQIA8ywVLJgKBQAIBxULADDPUsGCigUAIBwECwAwz1LBora2NtJNAABEAaZCAYB5lgoWhw4dUlNTU6SbAQDo4qhYAIB5lgoWzc3NVC0AAGeUlJQU6SYAQNSxVLCQpAMHDkS6CQCALo5gAQDmxXyw6NmzZ8B1ggUA4EwIFgBgXswHi/T09IDrLpcrQi0BAEQLggUAmBfzwSI7Ozvg+s6dOyPUEgBAtCBYAIB5MR8sBg8eHHD9m2++iVBLAADRgmABAObFfLAYNmxYwPVPP/00Qi0BAESLxMTESDcBAKJOlw4WixYt0sCBA9WtWzcVFBTos88+M32MSy+9NOD6jh07tGzZMhmGcbaaCQCIMXFxXXp4BIAuqct+A9Cbb76p0tJSLV68WAUFBXr22WdVVFSkHTt2KDMzM+zjNPRtUPqQdB3cedB3269+9Sv1u6CfLh59sbL7Z2tA7wFKS0uT3W5XUlKSEhISfMtxcXGKi4uTzWYL+NnWbaf7abPZJOmc/uyM3xHOT6ujH1rRF61O1xdn6qdzsa/b7T7tfgAAmGUzuuhb9wUFBbrkkkv0wgsvSPJ8uV12drbuuecePfzww2fc3+12KzU1VXpYyk/O179+96/ADe6QdH7L8mNBO4+XNElSs6R3JG3xW5ck6f9IapL0g6QVQfteJql/y77vSqr3W9dP0uiW5a9b9vf3X5JskuokbQxad5EkR8tyhaRjfut6+x13d8vF34SWdh+XtClo3UBJ57UsfyXJ/7VGD0mjWparJe0K2vfilm2aJFUGrXP4Hfc7SbV+6xL9jvsfSd8H7TtUUnLL8mZ5+tIrXdKAluUqSf6fHmyTNLZl+Yik4NNpcuXpK8nzN23wW5cqyXs6zl5JwR8eNlpSvKQTkrYFrcuW1LdleYcC/zY9JXln4+2X9GPQviMk2eXpwy+D1jnkecxInj70/9vYW/aVPH24O2jfYS2/W5K+CFrXV62P/SpJh/zWxan1b3O45ff6y5WnryRPH570W5cmz+NJ8vRhTdC+o1qOf1yefvKXLc/fVpK2y9PPXr0kDWlZrmk5tr8R8jy+GyVtDVrXT5L3fYjv5HlceHWTdEHL8iFJe4L2HSape8vy/wSty5Dn/1zy/B/X+q1LkOf/VfL8zYL/bwap9fG9RZ6/vVdvSTkty/9W4ONbav0/Pybp26B1OWp9fG9X4HNPcsvvlTz/y36P77q6OqWkpMjKfOOFny46NAJAp/M+R4YzXnTJikVDQ4MqKys1Z84c321xcXEqLCxURUVFm/vU19ervr51JPV/N+7iERdrwNQB+vvf/966g7fK7T+o+6+LU9sTxRLU+gKoto312fK8MJak94LW9ZXnRb7keSETHCy8s7Z+VGiwGKbWFxWbFfjitY+ky1uWyxX6IvOn8rzI/I9Cg8UwST9pWa5S4IvXFHkCllr2C36BdJk8L9oaFBoshkgqbFleosC+6ibp5y3L2xQaLH4izwtYyfNi2z9Y5Ej63y3L/1BosPCu+0GhwWKcPGFI8rzI9A8WWX77rlZosJjc0u79Cg0WI+UJo5L0/xT4t0mTdE3L8gaFBour5Hk8HVNosLhA0hUty68pNPR5j/ulQv/m/0utL1A3S/J/jTRQ0tUty28rMFgkSLq2Zfk7hQaLAknDW5a/VWCw6Oe370cKDRY/lydUuhQaLMbI8/eRpP+rwGCR7nfcTxQaLIrkCTtuhQaLC+V5nErSqwoMFr0k/aJl+QuFBovL5QkPTQoNFoPV+r+xTKHB2XvcbxT6f+NU63PEDgU+B53vt+/7Cg0W18rzOP9RocFinFqfI55TYLDI8DtuuUIf3wAAnAVdchLpgQMH1NTUpKysrIDbs7KyTvk9FPPmzVNqaqrv4v2Y2Vn5szRx8EQtXbpUL730koYMaXnrc6c879AHv0iUpKPyvFvoUuCLRMkzqB+XZ9BuUKh4v+W2QsvZcLo30tq7riN4Yw9ADLn22msj3QQAiEpdcirU3r17dd5552n9+vVyOp2+2x988EGVl5dr48bgt/PbrlhkZ2eHlG0Mw9CWLVtUWVmpr7/+Wvv379fBgwfldrvV2NiohoYG38+GhgY1NzerublZhmG0+TP4tqaEJjXHN6tZzdJhyWj2rJOk5m7NMtIMGTJkq7P53j31/gmaz/dsZ9QbslXbAkvxfeV5h1XyhJ5GvzvfQ61TZv6jwHegJc8UiISWfYLfPc2Up+Ihed7lP+63rptapwf9R6HvFA9r2aZZgdPFvMf1ThXZJc/0Lq9EtVYOatto0xC1ThX5H4VOhfK+E18l6aDfOps873xLnnDY1lSotJblrQqdCuWdKrJPoe/ojpInNNar7alQGS3L2xU6Fco73aZGoRWLi+SZ1nRSoRWLfmr9u+5U6FQo73Sb/yi0Dy9Q61Soz4PWZai1D3crsA/j1DqdzK3Qd8UHq7UPv1Tg47C3WvvwR3mm3PjLU2swD+7DAWqdTrZNgY/DXmrtw2qF9uFItU6FCu7D89Tahzvkmd7l1U2tj8MDCq36XChPHxoKrchlyfN3lzwVt+Cqz5iW5TqF9uEweaqBkqdS4v8GRLpaq3VVCq365Lf8PCrPdEp/uWqtpm5RYNUnRa19uFee5xBvE5kKFTAVKicnR//4xz80evToM+wFANYQ9VOh+vbtq/j4eFVXB74yqa6ulsPhaHMfu90uu91+xmPbbDaNHDlSI0eOPCtt7UzeoNHRn2fzWG0dO5pxP7oWK9yPM93Hc7Wv2+3WRRdddMr1VrR37145HA4+dAAA2qlLBoukpCSNGzdOq1ev9pWkm5ubtXr1apWUlES2cRHEpy8BOFv4VKhQPXv25PkVADqgSwYLSSotLdWMGTOUn5+v8ePH69lnn9XRo0d12223RbppAAAAAIJ02WAxbdo07d+/X3PnzpXL5dKYMWO0cuXKkBO6AQAAAERelw0WklRSUmLpqU8AAABAtOjSwaIjvCctMo8YAEJ5nxtj5QT5jmC8AIBTMzNexGywOHjQ8xma3u+zAACEOnz4cMi3TlsN4wUAnFk440XMBos+fTxfzlBVVWX5QfNc835nyJ49eyz/efidgf7uPLHc14Zh6PDhw+rfv/+ZN45xjBedJ5b/p7oi+rvzxHJfmxkvYjZYxMV5vlQ8NTU15v7AXVVKSgp93Yno784Tq33Ni2gPxovOF6v/U10V/d15YrWvwx0v4s5xOwAAAABYAMECAAAAQIfFbLCw2+169NFHZbfbI92UmEdfdy76u/PQ19bA37nz0Nedi/7uPPS1h83gswYBAAAAdFDMViwAAAAAdB6CBQAAAIAOI1gAAAAA6DCCBQAAAIAOi8lgsWjRIg0cOFDdunVTQUGBPvvss0g3KSY89thjstlsAZfhw4f71p84cULFxcVKT09Xr169NHXqVFVXV0ewxdHj448/1s9//nP1799fNptN77zzTsB6wzA0d+5c9evXT927d1dhYaG+/fbbgG0OHTqk6dOnKyUlRWlpaZo5c6aOHDnSifciOpypr2+99daQx/mkSZMCtqGvYwfjxbnBeHHuMF50LsYMc2IuWLz55psqLS3Vo48+qs8//1yjR49WUVGRampqIt20mHDRRRdp3759vssnn3ziWzd79my99957WrZsmcrLy7V3715dd911EWxt9Dh69KhGjx6tRYsWtbl+wYIFeu6557R48WJt3LhRPXv2VFFRkU6cOOHbZvr06dq6datWrVql5cuX6+OPP9Zdd93VWXchapypryVp0qRJAY/zN954I2A9fR0bGC/OLcaLc4PxonMxZphkxJjx48cbxcXFvutNTU1G//79jXnz5kWwVbHh0UcfNUaPHt3mutraWiMxMdFYtmyZ77avv/7akGRUVFR0UgtjgyTj7bff9l1vbm42HA6H8dRTT/luq62tNex2u/HGG28YhmEY27ZtMyQZmzZt8m3zwQcfGDabzfj3v//daW2PNsF9bRiGMWPGDOOaa6455T70dexgvDh3GC86B+NF52LMOLOYqlg0NDSosrJShYWFvtvi4uJUWFioioqKCLYsdnz77bfq37+/Bg0apOnTp6uqqkqSVFlZqcbGxoC+Hz58uHJycuj7Dtq1a5dcLldA36ampqqgoMDXtxUVFUpLS1N+fr5vm8LCQsXFxWnjxo2d3uZot27dOmVmZuqCCy7Q3XffrYMHD/rW0dexgfHi3GO86HyMF5HBmNEqpoLFgQMH1NTUpKysrIDbs7Ky5HK5ItSq2FFQUKCysjKtXLlSL774onbt2qWf/vSnOnz4sFwul5KSkpSWlhawD33fcd7+O93j2uVyKTMzM2B9QkKC+vTpQ/+bNGnSJP3lL3/R6tWr9cc//lHl5eWaPHmympqaJNHXsYLx4txivIgMxovOx5gRKCHSDUD0mDx5sm951KhRKigo0IABA7R06VJ17949gi0Dzp4bbrjBtzxy5EiNGjVKgwcP1rp163TVVVdFsGVA9GC8gFUwZgSKqYpF3759FR8fH/LJEtXV1XI4HBFqVexKS0vTsGHDtHPnTjkcDjU0NKi2tjZgG/q+47z9d7rHtcPhCDnh9OTJkzp06BD930GDBg1S3759tXPnTkn0daxgvOhcjBedg/Ei8qw+ZsRUsEhKStK4ceO0evVq323Nzc1avXq1nE5nBFsWm44cOaLvvvtO/fr107hx45SYmBjQ9zt27FBVVRV930G5ublyOBwBfet2u7Vx40Zf3zqdTtXW1qqystK3zZo1a9Tc3KyCgoJOb3Ms+fHHH3Xw4EH169dPEn0dKxgvOhfjRedgvIg8y48ZkT57/GxbsmSJYbfbjbKyMmPbtm3GXXfdZaSlpRkulyvSTYt69913n7Fu3Tpj165dxqeffmoUFhYaffv2NWpqagzDMIxZs2YZOTk5xpo1a4x//etfhtPpNJxOZ4RbHR0OHz5sfPHFF8YXX3xhSDKefvpp44svvjB++OEHwzAMY/78+UZaWprx7rvvGl9++aVxzTXXGLm5ucbx48d9x5g0aZIxduxYY+PGjcYnn3xiDB061LjxxhsjdZe6rNP19eHDh43777/fqKioMHbt2mX885//NPLy8oyhQ4caJ06c8B2Dvo4NjBfnDuPFucN40bkYM8yJuWBhGIbx/PPPGzk5OUZSUpIxfvx4Y8OGDZFuUkyYNm2a0a9fPyMpKck477zzjGnTphk7d+70rT9+/Ljx61//2ujdu7fRo0cP4xe/+IWxb9++CLY4eqxdu9aQFHKZMWOGYRiejxD8/e9/b2RlZRl2u9246qqrjB07dgQc4+DBg8aNN95o9OrVy0hJSTFuu+024/DhwxG4N13b6fr62LFjxsSJE42MjAwjMTHRGDBggHHnnXeGvNCkr2MH48W5wXhx7jBedC7GDHNshmEYnVcfAQAAABCLYuocCwAAAACRQbAAAAAA0GEECwAAAAAdRrAAAAAA0GEECwAAAAAdRrAAAAAA0GEECwAAAAAdRrAAAAAA0GEECwAAAAAdRrAAAAAA0GEECwAAAAAdRrAAAAAA0GH/H5P3RCWVCZ40AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the f value equal to chi_20\n", "m_max = 20\n", "ds_dm = delta_m_phase_approx(pha_ex[0,:], theta, m_max, method=method)\n", "f = chi[m_max]\n", "print('f=', f)\n", "\n", "# Eq.5 in Waquet and Herman, 2019\n", "pha_tr = np.zeros_like(pha_ex)\n", "pha_tr[0,:] = ds_dm['phase_tr'].values\n", "beta = (pha_tr[0,:] / pha_ex[0,:])\n", "for i in range(1, pha_ex.shape[0]):\n", " pha_tr[i,:] = pha_ex[i,:] * beta\n", "\n", "fig, axs = plt.subplots(2, 2, figsize=(8,5))\n", "axs = axs.ravel()\n", "axs[0].plot(theta, pha_ex[0,:], 'k-', lw=3, label='exact')\n", "axs[0].plot(theta, pha_tr[0,:], 'g:', lw=2, label='DM')\n", "axs[0].set_yscale('log')\n", "axs[0].legend()\n", "axs[0].set_ylim(1e-3, 1e4)\n", "axs[0].set_xlim(0, 180)\n", "axs[0].set_title('p11')\n", "axs[1].plot(theta, pha_ex[1,:], 'k-', lw=3)\n", "axs[1].plot(theta, pha_tr[1,:], 'g:', lw=2)\n", "axs[1].set_xlim(0, 180)\n", "axs[1].set_title('p21')\n", "axs[2].plot(theta, pha_ex[2,:], 'k-', lw=3)\n", "axs[2].plot(theta, pha_tr[2,:], 'g:', lw=2)\n", "axs[2].set_xlim(0, 180)\n", "axs[2].set_title('p33')\n", "# axs[2].set_yscale('log')\n", "# axs[2].set_ylim(-1., 1)\n", "axs[2].set_xlim(0, 180)\n", "axs[2].set_title('p33')\n", "axs[3].plot(theta, pha_ex[3,:], 'k-', lw=3)\n", "axs[3].plot(theta, pha_tr[3,:], 'g:', lw=2)\n", "axs[3].set_xlim(0, 180)\n", "axs[3].set_title('p34')\n", "plt.tight_layout()\n", "#plt.savefig('truncated_phase_dm.png', dpi=300)" ] }, { "cell_type": "markdown", "id": "7472d3de", "metadata": {}, "source": [ "## Use Lobatto for an accurate phase function with lesser angle points\n", "- Interesting for particles with a high forward or backward peak.\n", "- A phase function with lesser angle points allows to save memory and computional time in some radiative transfer codes" ] }, { "cell_type": "markdown", "id": "365164f0", "metadata": {}, "source": [ "### Example with the Henyey-Greentein phase function" ] }, { "cell_type": "code", "execution_count": 5, "id": "11353e20", "metadata": { "execution": { "iopub.execute_input": "2026-02-10T07:55:00.109284Z", "iopub.status.busy": "2026-02-10T07:55:00.109063Z", "iopub.status.idle": "2026-02-10T07:55:00.318102Z", "shell.execute_reply": "2026-02-10T07:55:00.317139Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nb_th = 60\n", "theta_lob, _ = quadrature_lobatto(0., 180., nb_th)\n", "theta_reg = np.linspace(0, 180., nb_th)\n", "hg_phase_lob = henyey_greenstein(theta_lob, g=0.95, normalize=2)\n", "hg_phase_reg = henyey_greenstein(theta_reg, g=0.95, normalize=2)\n", "\n", "hg_phase_ref = henyey_greenstein(np.linspace(0, 180., 18001), g=0.95, normalize=2)\n", "\n", "plt.figure(figsize=(6,4))\n", "plt.plot(np.linspace(0, 180., 18001), hg_phase_ref, 'k-', lw=3, label='reference')\n", "plt.plot(theta_reg, hg_phase_reg, 'g-^', lw=2, ms=10, label=f'regular grid, nb_theta={nb_th}')\n", "plt.plot(theta_lob, hg_phase_lob, 'r-.o', lw=2, ms=6, label=f'Lobatto, nb_theta={nb_th}')\n", "plt.ylim(0, 850)\n", "plt.xlim(0, 8)\n", "plt.title('Henyey-Greenstein phase forward peak (g=0.95)')\n", "plt.xlabel('Scattering angle [°]')\n", "plt.ylabel('Phase function []')\n", "plt.legend()\n", "plt.tight_layout()\n", "#plt.savefig('hg_phase_forward_peak.png', dpi=200)" ] }, { "cell_type": "markdown", "id": "4f558548", "metadata": {}, "source": [ "### Example with moment calculations " ] }, { "cell_type": "code", "execution_count": 6, "id": "9fcf47de", "metadata": { "execution": { "iopub.execute_input": "2026-02-10T07:55:00.319976Z", "iopub.status.busy": "2026-02-10T07:55:00.319768Z", "iopub.status.idle": "2026-02-10T07:55:00.544175Z", "shell.execute_reply": "2026-02-10T07:55:00.543330Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m_max = 20\n", "chi_exact = calc_hg_moments(0.95, m_max)\n", "nth = np.array([20, 40])\n", "expansion_order = np.arange(0, m_max + 1)\n", "marks = ['--', ':']\n", "\n", "\n", "plt.figure(figsize=(7,4.5))\n", "plt.plot(expansion_order, chi_exact, 'k-', lw=3, label='original')\n", "for ith in range (len(nth)):\n", " theta_reg = np.linspace(0, 180., nth[ith])\n", " hg_reg = henyey_greenstein(theta_reg, g=0.95, normalize=2)\n", " chi_reg = calc_moments(hg_reg, theta_reg, m_max, method='trapezoid', normalize=True)\n", " plt.plot(expansion_order, chi_reg, f'g{marks[ith]}', lw=2, label=f'regular, nb_theta={nth[ith]}')\n", "\n", "for ith in range (len(nth)):\n", " theta_lob, _ = quadrature_lobatto(0., 180., nth[ith])\n", " hg_lob = henyey_greenstein(theta_lob, g=0.95, normalize=2)\n", " chi_lob = calc_moments(hg_lob, theta_lob, m_max, method='lobatto', normalize=True)\n", " plt.plot(expansion_order, chi_lob, f'r{marks[ith]}', lw=2, label=f'Lobatto, nb_theta={nth[ith]}')\n", "\n", "plt.title('Henyey-Greenstein phase moments (g=0.95)')\n", "plt.xlabel('Expansion order []')\n", "plt.ylabel('Moment []')\n", "plt.ylim(0.35, 0.95)\n", "plt.xlim(1, 20)\n", "plt.gca().xaxis.set_major_locator(MaxNLocator(integer=True))\n", "plt.grid()\n", "plt.legend()\n", "plt.tight_layout()\n", "#plt.savefig('hg_phase_moments_convergence.png', dpi=200)" ] } ], "metadata": { "kernelspec": { "display_name": "default", "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": "3.13.11" } }, "nbformat": 4, "nbformat_minor": 5 }