{ "cells": [ { "cell_type": "markdown", "id": "8015036e", "metadata": { "originalKey": "8015036e" }, "source": [ "# BOxCrete: Slump Prediction\n", "\n", "This notebook demonstrates slump prediction for concrete mixes using a\n", "Gaussian Process model with a domain-specific derived feature.\n", "\n", "The model automatically appends the HRWR-to-binder ratio to the raw\n", "composition inputs via an `AppendDerivedFeatures` input transform.\n", "This derived feature encodes admixture dosage relative to total binder\n", "content — a key determinant of concrete workability — as a ratio that\n", "stationary GP kernels cannot discover from the raw ingredient amounts alone.\n", "Adding this single feature improves LOO-CV R² from ~0.30 to ~0.47." ] }, { "cell_type": "code", "execution_count": 1, "id": "8f320918-a39f-4a5c-9385-cce1b72eff3a", "metadata": { "execution": { "iopub.execute_input": "2026-05-01T17:31:21.095180Z", "iopub.status.busy": "2026-05-01T17:31:21.095050Z", "iopub.status.idle": "2026-05-01T17:31:23.744807Z", "shell.execute_reply": "2026-05-01T17:31:23.744064Z" }, "originalKey": "8f320918-a39f-4a5c-9385-cce1b72eff3a", "output": { "id": 2171381940294240, "loadingStatus": "loaded" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Imports complete.\n" ] } ], "source": [ "import warnings\n", "warnings.filterwarnings('ignore', message='.*findfont.*')\n", "\n", "import torch\n", "import matplotlib.pyplot as plt\n", "\n", "from boxcrete.utils import (\n", " load_concrete_strength, SLUMP_Y_COLUMNS, DEFAULT_X_COLUMNS,\n", ")\n", "from boxcrete.concrete_model import SustainableConcreteModel\n", "from boxcrete.plotting import (\n", " compute_loo_cv,\n", " plot_calibration,\n", " plot_feature_importance,\n", ")\n", "from boxcrete.units import SLUMP_DISPLAY_SCALE, slump_label\n", "\n", "torch.manual_seed(42)\n", "print(\"Imports complete.\")" ] }, { "cell_type": "markdown", "id": "d213276b", "metadata": { "originalKey": "d213276b" }, "source": [ "## 1. Load Data" ] }, { "cell_type": "code", "execution_count": 2, "id": "804bd303-e7e8-4611-a70f-8ea1d9c34fcb", "metadata": { "execution": { "iopub.execute_input": "2026-05-01T17:31:23.772527Z", "iopub.status.busy": "2026-05-01T17:31:23.772258Z", "iopub.status.idle": "2026-05-01T17:31:23.790179Z", "shell.execute_reply": "2026-05-01T17:31:23.789499Z" }, "originalKey": "804bd303-e7e8-4611-a70f-8ea1d9c34fcb", "output": { "id": 1267967262193637, "loadingStatus": "loaded" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Compositions with slump: 74\n", "Input features: 10 (+ 1 derived HRWR/binder = 11 total)\n", "Slump range: [0.8, 11.1] inches\n" ] } ], "source": [ "data = load_concrete_strength(Y_columns=SLUMP_Y_COLUMNS)\n", "X_slump, Y_slump, Yvar_slump, bounds_slump = data.slump_data\n", "\n", "print(f\"Compositions with slump: {X_slump.shape[0]}\")\n", "print(f\"Input features: {X_slump.shape[1]} (+ 1 derived HRWR/binder = {X_slump.shape[1] + 1} total)\")\n", "slump_min = Y_slump.min().item() * SLUMP_DISPLAY_SCALE\n", "slump_max = Y_slump.max().item() * SLUMP_DISPLAY_SCALE\n", "print(f\"Slump range: [{slump_min:.1f}, {slump_max:.1f}] {slump_label()}\")" ] }, { "cell_type": "markdown", "id": "3db4adfb", "metadata": { "originalKey": "3db4adfb" }, "source": [ "## 2. Fit Slump Model" ] }, { "cell_type": "code", "execution_count": 3, "id": "844c2254-c425-4693-aab7-ce06414d9c68", "metadata": { "execution": { "iopub.execute_input": "2026-05-01T17:31:23.791556Z", "iopub.status.busy": "2026-05-01T17:31:23.791402Z", "iopub.status.idle": "2026-05-01T17:31:55.251326Z", "shell.execute_reply": "2026-05-01T17:31:55.248508Z" }, "originalKey": "844c2254-c425-4693-aab7-ce06414d9c68", "output": { "id": 1414185520475921, "loadingStatus": "loaded" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: SingleTaskGP\n" ] } ], "source": [ "model = SustainableConcreteModel(strength_days=[1, 28])\n", "model.fit_slump_model(data)\n", "slump_gp = model.slump_model\n", "print(f\"Model: {type(slump_gp).__name__}\")" ] }, { "cell_type": "markdown", "id": "a19f7d01", "metadata": { "originalKey": "a19f7d01" }, "source": [ "## 3. Training Calibration" ] }, { "cell_type": "code", "execution_count": 4, "id": "99f3edf0-2cf9-4849-9ad8-39b0a7bb2d8f", "metadata": { "execution": { "iopub.execute_input": "2026-05-01T17:31:55.255588Z", "iopub.status.busy": "2026-05-01T17:31:55.253033Z", "iopub.status.idle": "2026-05-01T17:31:55.521235Z", "shell.execute_reply": "2026-05-01T17:31:55.520432Z" }, "originalKey": "99f3edf0-2cf9-4849-9ad8-39b0a7bb2d8f", "output": { "id": 2229729624443179, "loadingStatus": "loaded" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with torch.no_grad():\n", " post = slump_gp.posterior(X_slump)\n", " pred = post.mean.squeeze()\n", " std = post.variance.sqrt().squeeze()\n", "\n", "fig = plot_calibration(\n", " observed=Y_slump.squeeze() * SLUMP_DISPLAY_SCALE,\n", " predicted_mean=pred * SLUMP_DISPLAY_SCALE,\n", " predicted_std=std * SLUMP_DISPLAY_SCALE,\n", " title='Slump Calibration (Training)',\n", " xlabel=f'Observed Slump ({slump_label()})',\n", " ylabel=f'Predicted Slump ({slump_label()})',\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "124ed5bc", "metadata": { "originalKey": "124ed5bc" }, "source": [ "## 4. Leave-One-Out Cross-Validation\n", "\n", "Efficient O(n³) LOO-CV from the fitted model without refitting." ] }, { "cell_type": "code", "execution_count": 5, "id": "5b0ae50b-b5db-4753-aee8-7cdc116e7ada", "metadata": { "execution": { "iopub.execute_input": "2026-05-01T17:31:55.523085Z", "iopub.status.busy": "2026-05-01T17:31:55.522898Z", "iopub.status.idle": "2026-05-01T17:31:55.654773Z", "shell.execute_reply": "2026-05-01T17:31:55.654032Z" }, "originalKey": "5b0ae50b-b5db-4753-aee8-7cdc116e7ada", "output": { "id": 2503921080058691, "loadingStatus": "loaded" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LOO-CV R²: 0.473\n", "LOO-CV RMSE: 2.04 in\n", "LOO-CV MAE: 1.33 in\n" ] }, { "data": { "image/png": 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gVQghhBBCRCwJVoUQQgghRMSSYFUIIYQQQkQsCVaFEEIIIUTEkmBVCCGEEEJELAlWhRBCCCFExJJgVQghhBBCRCwJVoUQQgghRMSSYFUIIYQQQkQsCVaFEEIIIUTEkmBVCCGEEEJErD4RrK5fv567776bRYsWMXToUBRFQVGUwzrGSSedFNhv//79XdZWIYQQQgjRfuaebkA43Hnnnbzxxhsd3n/FihV8/PHHKIqCYRhhbZsQQgghhOi4PhGsHn300UyePJkjjzySI488kqysLFwuV7v2LS4u5vrrr+eUU05hx44d5OXldXl7hRBCCCFE+/SJYPWmm27q8L7XXXcdtbW1PP7445x44olhbZcQQgghhOicPpGz2lHvvfcezz//PH/84x8ZMWJETzdHCCGEEEI00W+DVYfDwdVXX83YsWP5/e9/39PNEUIIIYQQIfSJNICO+POf/0xubi6fffYZVqu1U8eaMGFCyOV79uwhKyuLkpKSTh3fr7KyMizH6SvkegST6xFMrkcwuR7B5HoEk+sRTK5HsHBcD03TMJlMHdq3XwarGzZs4OGHH2bp0qUcd9xxPd0cIYQQQtRze/VW11vN/famcL/V74JVTdO4/PLLSUxM5L777gvLMbds2RJyub/HNTU1NSzn8Qv38Xo7uR7B5HoEk+sRTK5HMLkewSLhevzh1Z9aXX/Xoknd1pZIuB6RpDPXo6O9qvTHYPWhhx7ihx9+4KmnnpIXoRBCCBGhdMPgQEVd4PGgxCjUw5zwR/QN/S5Yfeutt1AUhZUrV/LMM88ErTt48CAA5513HjabjZtvvpn58+f3UEuFEEKI/uf2M8cD4HTrLH93W2D5LQvGYbdKCkB/1O+CVQDDMPj8889bXL927VoAli1b1o2tEkIIIYTN7LtdrOtgUht6Uq1mNbBO9C/9Llj97LPPWlyXlZVFXl4e+/btY+jQod3aLiGEEEII0Zz0pwshhBBCiIjVJ3pW33nnHe68887AY7fbDcCsWbMCy2699VZOO+20HmmfEEIIIYTomD4RrBYXF/Ptt982W954WXFxcTe3SgghhBBCdFafCFaXLVsWlsFQubm5YWmPEEIIIYQID8lZFUIIIYQQEUuCVSGEEEIIEbEkWBVCCCGEEBFLglUhhBBCCBGxJFgVQgghhBARS4JVIYQQQggRsSRYFUIIIYQQEatP1FkVQgghRPdzebVW19vMpm5ri+i7JFgVQgghRIfc/ubWVtfftWhSt7VF9F0SrAohhBCiU3TD4EBFXeDxoMQoVEXp0TaJvkOCVSGEEEJ0yO1njgfA6dZZ/u62wPJbFozDbpVhMSI8JFgVQgghRIf4c1J1HUxqQ0+q1axKvqoIG/nZI4QQQgghIpYEq0IIIYQQImJJsNpH5ebmoihK0J/NZmP48OFcccUV7Nu3r9k+F154IZMnT2batGlMmDCBF198sUfa3lhJSQlXXnklgwYNwm63M3HiRB5//HEMw+jwMX/7298GronT6Qxat2LFimbXrenfs88+i8ur4fJqHCgq5ppf/ZojjzyS9PR0bDYbWdnZLF68mPXr14fhCgghhBD9m+Ss9nETJkxg8eLFAFRUVPDJJ5/w5JNP8tZbb7Fx40YGDhwY2Hbp0qWceuqpKIrC22+/zdlnn83kyZMZP358j7S9oqKCOXPmsGPHDs4880zGjh3Lxx9/zK9+9Sv27NnDH/7wh8M+5tq1a3nkkUeIiYnB4XA0Wz916lRuu+22kPvec889uN1ujj/++EC5ltL9Oaz8z9MMGTOVodOPZ0R0HFXFhaxevZrXXnuNF198kfPOO68Dz14IIYQQSLDa902cOJHbb7898FjXdc466yzefvttHnvsMe68887Auvnz5wf+f+bMmWiaxu7du3ssWP3b3/7Gjh07uOOOO7j11lsB8Hq9LFy4kAcffJAzzjiDiRMntvt4LpeLyy67jNNPP53KykrWrFnTbJupU6cyderUZsu//fZb/vKXv3DyySczdOhQWFcOQMLAoZz38AeoJt9byV+uZel4C9OmTePmm2+WYFUIIQ6Df6IBt1dH0xvuorm9OqoqEw30RxKs9jOqqrJkyRLefvttNmzY0OJ2f/7znxk0aBAnnHBCt7bPT9d1Vq5cSUJCAjfeeGNgudls5vbbb+fDDz/k+eef529/+1u7j3nnnXeyf/9+PvjgAy655JLDas/KlSsBWLZsGbSjXIvNbGLcuHFs2rQJwzBQpN6gEKKX6u5Zqvx3rjRdZ31eRWD58ne3YlJVmWigH5JgtR+zWCwhlz/11FM89dRTvPfee8TGxnZ7uwB27txJUVERCxcuxG63B62bNWsWsbGxrF27tt3H27hxI/fccw8PPfSQr2f0MLhcLl588UXi4+M555xzoB3lWnJzc9m5cyfjxo2TQFUI0av11CxVug4OlzfosUlG2vRLEqz2M/4eS4DZs2c3W//qq6/yq1/9iqeffpoTTzyxXcfcuHEjr7/+ervbcPbZZ4e81d7Y7t27ARgxYkSzdaqqkpWVRU5OTrvO5/V6ueyyyzjiiCO4+uqr291Ov7feeovy8nIuv/xyoqKiQm5TXVbExg9f4S/fJ3OwsIDXX38dRVH4xz/+cdjnE0KISNRds1T571yV13jYkF8eWH7DKWNIig3dySL6NglW+7jNmzcHclb9A6x++uknZsyY0Sxwe/vtt7n00kv5z3/+w0UXXdTuc2zcuJG//OUv7d4+KyurzWC1qqoKgPj4+JDr4+PjqampQdf1Ns937733snnzZjZs2ICqHv7Pcn9wv3Tp0ha3qSkr5quX/sVX9Y/T0tJ47rnnOP744w/7fEIIEUm6e5Yq/50rq1kLujMlEw30XxKs9nFbtmxhy5YtQcsmT57Mp59+SlxcXNDyc889l+joaB544AEeeOABAH75y1/yy1/+stVzLFu2LJDLGWn8A7RuuummwxqM5VdUVMR7773HyJEjmTNnTovbDRo5gZv/9yM3nzKSwn253H///SxYsIBHH32Uq666qpPPQgjR3XmTooHMUiV6mgSrfdwFF1zAiy++iGEYFBQUcPfdd/PYY4+xbNky/ve//wVt63K5eqydTfl7VP09rE1VVVURGxvbZk/pL3/5SzIyMvjTn/7UoXY899xzeL1elixZ0q7trVYr48aN48knn2T//v1cd911nHHGGQwZMqRD5xdC+PRU3qQQoudJsNpPKIrC0KFDefTRR8nLy+PVV1/lpZde4vzzz+/0sbsiZ3XkyJEA7Nmzp9k6XdfJzc0lOzu7zXNt2rSJysrKZoO0/Pw5qOXl5SQmJjZbv3LlShRFaXew2tgJJ5zA+++/z7p16wIDs4QQndNdeZP9QePeardXb7ZMek1FpJBgtR+67777WL16NbfeeiuLFy/uUB5nY12Rszp69GjS09P56quvcDqdQcHm2rVrqampYdasWW2ea8mSJdTW1jZb/s4773Dw4EGWLVuGyWTCZrM122bTpk1s2rSJ448/nszMzHY/P78DBw5AfbktIUTndHfeZH/QuLfaP5uf3X4osEx6q0WkkG/RfmjMmDFccMEFPP/887z44ouHNZgqlK7IWVVVlaVLl3Lvvfdy7733Bk0K8Je//AVFUbjwwguD9snPz6e2tpYRI0YEynI98sgjIY8/b948Dh48yD//+c8We12b1lYNZevWLWgeL6YmZcB+/PFH/vOf/xAdHd1qrqsQon0kb7Lr6IbBgSpfGpi1TpfeahFxJFjtp/74xz/ywgsvsHz5ci688MKIrAV6yy238MYbb/DnP/+Z9evXM3bsWD766CPWr1/P7373OyZNCv7Vv2TJEtasWUNOTg5ZWVmdOrfX6+W5554jNjaWc889t8Xtnn7qKf6z8hmGjp1GQvpgaj9PY8/uXbz33nsYhsGTTz5JUlJSp9oihBBdoXFv9a2v/gCA3W6X3moRceTV2E+NHz+ec889l61bt/LKK6/0dHNCSkxM5KuvvuKKK65g7dq1PPTQQ9TV1fHoo49y3333dem533vvPYqKili8eDExMTEtbnfOokWMmDGXkv17+fHj1/jXPx/np59+4vzzz+ebb77h5z//eZe2UwghOspmNmEzm7CaVUyqEviT3moRaaRntY/KysrCMIxWt3n55Ze7rT0dlZqayr///W/+/e9/t7ntZ5991u7jtrXt6aef3ub1A5h9zBxO/01y4PGfTx9PlDW8H/JSskf0dn3pNRyO59KXrocQ3UGCVSEinJTsEb1dX3oN//n1za2uv2fxlDaP0ZeuhxDdQYJVIXoJKdnjI71SvVdfeA1/l+ub/tMA6twN89ZHWc0c7jPpC9dDiO4gwaoQEU5K9gSTXqnepy++hg3DoKLWE3hst5jaPVC1L14PIbqSBKtCRDgp2ROa9Er1Hn3pNXxklq+6R51H51DVwcDyyUMTibK0L9DsS9dDiO4gwaoQoleRXinRk+44eyIAheVOPt3eUED/tyeNZnBS6JrNQojOkWBVCNGrSK+U6En+15jVrAbd9pfXX/j489LdXj2oKovbq+PyanKd+yEJVoUQQggRMfx56S6PRkmNK7D87+9vx2YxSV56PyT3zPqo3NxcFEUJ+rPZbAwfPpwrrriCffv2hdzPv+2gQYPQtNCjrh977LHAdrfffnuz9a+88gonnXQSycnJWK1WBg4cyMyZM7n++uvZujV4cExWVlazdjb+mzdvXpiuyOHbuXMnf/3rX5kzZw4DBgzAZrMxYsQIrr32WoqLiw/rWF6vl7vuuovRo0djt9vJyMjg+uuvp6amps19169fj9lsJtpm5of3X+rEMxJC9Dcur9bqXyTTDQOP1vCnt6P2teibpGe1j5swYQKLFy8GoKKigk8++YQnn3ySt956i40bNzJw4MBm+5jNZg4ePMgHH3zAggULmq1fuXIlZrMZr9fbbN0f/vAH7r77buLj4znjjDMYNmwYNTU1rF+/noceeohBgwYxfvz4oH1iYmK44YYbQra/s9Omdsaf//xn/vvf/zJ9+nTOP/98bDYbX3zxBY888givvfYaa9euJSl1QLuOdckll/Df//6XGTNmcO2117J9+3YeeOABvvnmGz777DOsVmvI/TweD5dddhl2ux2HwxHmZyiE6Ot6Y/UMf156YbmTj7c15AVfe6LkBfdXEqz2cRMnTgzq/dR1nbPOOou3336bxx57jDvvvLPZPlOmTGHfvn0888wzzYLV7du3891333HaaafxzjvvBK3bu3cvf//738nMzGTdunWkp6cHrS8sLKS0tLTZ+WJjY0P20Pa0BQsW8Kc//YmJEycGLb/22mt55JFHuOOOO3jwkcfaPM67777Lf//7X0455RTeffddTCZfvtUdd9zBbbfdxr/+9S/+7//+L+S+d999N3v37uWmm27iz3/+c5iemRCiv+lN1TMkL1g0JWkA/YyqqixZsgSADRs2hNzGbDZz0UUX8frrr1NVVRW0buXKlVgsFi688MJm+33//ffous4555zTLFAFGDx4MJMmRd6v+JYsXbq0WaBKfe8xwJdfftmu4zz99NMA/OUvfwkEqgA33ngj8fHxPPXUUyH327p1K3/9619Zvnw5w4YN6+CzEEL0Z7efOZ7bzxzPLQvGMTAhKvB3y4JxgR5MISKdBKv9mMViaXHdkiVLcDqdvPRSQ46kruusWrWKhQsXkpKS0myf5ORkAHbt2tVFLY4M/utmNrfvxsQXX3xBbGwsM2fODFoeFRXFMcccw48//tjsR4Gu61x22WVMnTqVX//612FsvRCiO0RKrqjNbMJmNmE1q5hUJfAnvZSiN5E0gH5G13VWrlwJwOzZs1vcbtq0aUycOJGVK1dy+eWXA/DJJ5+wf/9+Hn744ZD7HHXUUQwZMoR33nmH008/nQsvvJC5c+eSkZHRaptqampaTAOYN29euwZZPfTQQ1RUVLS5HUBiYiLXXXddu7YN5ZlnngHghBNOaHPbmpoaDh06xKRJk1DV5r8NR4wYAcDu3buZPn16YPlDDz3E+vXr2bBhQ8j9hBCRrTfmigoRqSRY7eM2b94cCAT9A6x++uknZsyYwdVXX93qvkuWLOGmm24iJyeH7OxsnnnmGZKTkzn99NP55JNPmm0fFxfHq6++yiWXXMI777wTyGkdNGgQp556Kr/97W+ZPHlys/0cDgd/+ctfWmxHe4PVvLy8NrcDyMzM7HCwun37dm677TZSUlK49nfX4/bqaHpwHUBVbci58veYxsfHhzyef3llZWVg2Z49e7j11lu58cYbe1XahBCiuVC5oobh63lt6/NDCOEjwWoft2XLFrZs2RK0bPLkyXz66afExcW1uu/FF1/MH/7wB5555hmuv/56Xn31VZYsWdLiyHWAmTNnsn37dtasWcOnn37K999/z+eff86KFSt47rnnePnllznrrLOC9hkwYAAHDx5s8ZjtkZub26n92+PgwYOcfvrpOJ1OFlx7D/9aV4aml7A+r6FHd/m7WzGpaod7TQzD4IorrmDw4MEyoEqIXqy1mdb+9u5Wbn9zK5quh/XzQ4i+Su4v9nEXXHABhmGg6zr79u3jV7/6FT/++CPLli1rc9/Bgwdz4okn8swzz/C///0Ph8MRGJzVGlVVOf7447njjjt49913KSsr46677sLj8XDllVeGLHkV6UpLSzn55JPJzc3l2WefZfi0OVA/i5LD5Q386Xrwfv6e06Y5qX7+5QkJCQCsWLGCTz/9lH//+9/Y7VKiRYjeqrVcUX9qT1ufH13Nnz/r7+H1//lnihIiUkjPaj+hKApDhw7l0UcfJS8vj1dffZWXXnqJ888/v9X9lixZwiWXXMItt9zC6NGjmTVr1mGf22q1cvPNN7N69Wo+//xzdu3axbhx4zrxbJrrypzV8vJyTj75ZLZs2cJ//vMfLrjgAs6u/yAvr/GwIb88sO0Np4whKbZh4FpsbCwDBgwgJycHXdeb5Z/u2bMHgJEjRwKwadMmaCUf9v1//5X3//1XTvz5jXD6Xe1+DkKIyOHvdW3r86PL21GfV6vpOj8WVgNgMtVJD6+IOBKs9kP33Xcfq1ev5tZbb2Xx4sWtDuA555xziIuLo7CwMGRN1sMRGxsL9Tmq4dZVOavV1dXMnz+fH374gYcf+QcXXnJpyB4Hfy3AUCNs586dyyuvvMK6deuCgv26ujq++uorJk+eHOiBPfroo0POarVr1y4+//xzho6dRvKQLNKGjWpX+4UQkaehjqgWEXVEdR1q3b5uXVX19fCa5L6riCASrPZDY8aM4YILLuD555/nxRdf5KKLLmpx2+joaFavXk1xcTFz585t9bjfffcdu3btYvHixc3yWr/77js+/fRT4uPjQ9Yu7ayuyFmtra3ltNNOY926dZyw9AYODDmu2Qhf/9zVaXF2NLeTnTu2kzk4jUGDBgW2+fnPf84rr7zCbbfdFjQpwL333ktVVRW/+MUvAttecMEFXHDBBc3asmLFCj7//HMmHHsa005tvTdcCCHao3EP73c5vimkTSZTt/fwCtEWCVb7qT/+8Y+88MILLF++nAsvvDDo131TxxxzTLuOWVBQwMUXX8yvf/1r5s2bx6hRo9A0je3bt/Pee++h6zqPP/54s1zM1kpX2e12br755sN8duFx9dVX88UXXzBixAhcdTV88d/HMQyocXoAsEbHcczZDTm8VfnbOPqI+SxdupQVK1YEli9cuJDzzz+fl156iaOOOoqTTjqJbdu28eabbzJr1iyuuuqqHnl+Qoj+LVQPr6JIDVYReSRY7afGjx/PueeeyyuvvMIrr7zCeeed1+lj+gdjrV69mh9++IGPPvoIl8vFgAEDWLx4Mf/3f/8XsrZra6WrEhISeixY9acV7NmzJ5Bb2lh82mBe+sdf+XF/ZYi9g61atYopU6bw9NNP8+CDD5Kens5vf/tb7rjjjlarKwghRFfxpzS5vTqG4SuhZRgNA6wkYBWRQoLVPiorKyvw4dOSl19+udmytvbxmz9/frNt4+LiuPTSS7n00kvb3c7uKDnVUZ999lmzZXVujTvebkgFaDx3ddLIaZRWu0iObR58WiwWbrnlFm655ZYOtWXZsmVccNGlQecWQojO8Kc1uTwapbW+Ki2qovH397djs5hkgJWIGH0ihXr9+vXcfffdLFq0iKFDh6IoSou3tXVd54svvuD3v/89M2bMIC4uDpvNxogRI7jqqqvIycnp9vYLIYQQ3c3t1XF7dZweDXf9n8uj+R57u7mOlhCt6BM9q3feeSdvvPFGu7bdu3cvxx57LAADBw7khBNOwGQysW7dOp544gmef/553n33XebMmdPFrRZCCCF6zg/1ZbO8uoGnPjZVMNhcWIVZbXkcgxDdrU8Eq0cffTSTJ0/myCOP5MgjjyQrKwuXyxVyW0VROPnkk7n55ps5/vjjAz2wLpeLq666ihUrVnDxxReze/duLBYZDSmEEKJvargDqeNP6qrPXEVR+sSNV9FH9Ilg9aabbmr3tiNGjOCDDz5ottxms/H444/z2muvkZ+fz9dff81xxx0X5pYKIYQQkeH1X/kGvG4/UMV5T6wNLL//vCmMHRTfgy0TIpj8dGokKiqK0aNHA1BYWNjTzRFCCCG6TJzdQpzdQrTVjAIogKpAtNVMnF3uLIrIIcFqI7quB8oVDRw4sKebI4QQQgjR7/WJNIBweeGFFygqKiItLS1kPdCWTJgwIeTyPXv2kJWVRUlJSVjaV1nZdj3P/qQnrofTo+F0OgOPy8tK0TRv4HFZWQm6s2vqpjY9d2lpCXZLQx3E/vb6kOtxeCLherT1b9ZdxyAM16O80oneqHxfeVkpNs3ebLvW2ltR646Iz4+KioYpng0DKirKKbF5DusY4fp3aay917grRML7JZKE43pomhaYwfFwSc9qvX379gXmi7/jjjuw2Ww93SQhhBBCiH5PelbrZ1BatGgRJSUlnH322Yc9/eWWLVtCLvf3uKampoalnX7hPl5v153Xo86tYbcXBR4nJadgMjW8jZKTU0NOCtAV505JSSXK2vxXan95fcj16JievB7t/Tfr6mM01tHr4TLVoTaq552UnEJqUlSz7Vprr1rj7tHPD7W+uyqm1hSoBqAAMXEJxCXGN5vBqrXnEu5/Fw7jGncl+fwI1pnr0dFeVSRYBY/Hw3nnncf333/PnDlzeP7553u6SUIIIUSX+/PrmwEor2245W8Aj3+2h6RoC/csntKDrROiQb8OVnVdZ+nSpaxevZqpU6fy1ltvERXVvb/ahBBCiJ7wfV4F1E+32tjWwipsncw3FSKc+nWw+pvf/IYXXniB0aNH8/7775OYmNjTTRJCCNHDXF6t1fVNb4/3VjMykwAoqXKyv6IusHx0eiyp8d0zkEmI9ui3weqf/vQnHn/8cTIyMvjwww9JT0/v6SYJISJAfwlURMtuf3Nrq+vvWjSp29rSle482zeuYu3uEj7ZWRxYvnR2JrNGSq6miBz9Mlh98MEHWb58OQMHDuSjjz4iIyOjp5skhIgQ/SVQEW3TDYMDjXocByVGBQ346e38P7wspuDCQBaTKj/KRETpE8HqO++8w5133hl47Ha7AZg1a1Zg2a233sppp53Gxo0buf766wHIzs5m+fLlIY95+eWXM2fOnC5vuxAiMvX1QEW07PYzxwPgdOssf3dbYPktC8Zht0rFRyG6W58IVouLi/n222+bLW+8rLjYd4ujoqICo77I8DfffMM333wT8pjz5s2TYFWIfkgCFeHvVdR1MKkNP1CsZulxFKIn9IlgddmyZSxbtqxd286bNy8QrAohRFMSqIjeQHKrRX/SJ4JVIYQQoj+59fXQk9H4/X3x5G5rixBdTYJVIYQQopdZn1cOgIFBrauhlzXaZkJBcqtF3yLBqhBCCNHLHJHpqwvu1gy+2VMSWD5laCJWkwSrom+RYFUIIYToZe44eyIA5TUeLnpybWD5TaeOJSnW0oMtEyL8JFgVQgghehn/ACqrWUNRZCCg6NukDosQQggh+gyn00lBQUFPN0OEkQSrQgghRC9T7fRQ7fRQ4/Si63rgr8bppdrp6enm9Rin08mzzz7LypUryc/P7+nmiDCRNAAhhBCilznz0S8B0HQobDTT2iX/+RaTCp/ecHwPtq5n+ANVf6/qqlWruPLKK0lJSenppolOkmBVCCGE6GX2l/sCVMMAr94w0U1hRR39cVbgpoEqwNSpU0lOTu7RdonwkGBVCCGE6GWGJkYB4PZqFFS6AssHxFmx9rMBVqEC1ZkzZ7JgwYKgwWei95JgVQghhOhl3vzNHAA25pdz6X++Cyy/+9zJTM1I6sGWdS8JVPsHCVaFEEKIXibO7qulGm0N/hqPtpoD6/o6CVT7DwlWhRBCtMjl1VpdLzU9RU+QQLV/kWBVCCFEi25/c2ur6+9aNKnb2iIEgGEYvPTSSxKo9iNSZ1UIIUSbdMOgoLw28KcbRjv2EiL8FEXh+OOPx2azgQSq/YL0rAohhGjR7WeOB8Dp1ln+7rbA8lsWjMNulf4O0TOGDRvGJZdcwvbt2znppJMkUO3jJFgVQgjRIn9Oqq6DSZU56EXkGDZsGMOGDevpZohuID+LhRBCCBFRDMMgr9SBW9Nxut1UFe5hz6FKDEk/6ZekZ1UIIYSIQNVOT6vr+2qJqjq3xqq1eazPK8fj0fA4KjFUK3e9/AVb505l6ezhRFmlV78/kWBVCCGEiEBnP/Z1i+sMw2D1dXPxaHrQco+m4/JqvTZFwzAMVq3NY11uGbsOVuGpKUN316GYzOyvMfhoUy4m1cTlc7MlT7UfkWBVCCEinNQ67d8Mw6C81h14nBRtpaTGxe1vbqWk2hm07VNf5pC66UCvLSm2t8TBtoNV5BbXYKktRneUA2B4IDsrjSrdyraDVeSUOBieFtvTzRXdRIJVIYSIcFLrtH96/VezASiv8bD06W8Dy1csm8kjn+4CQG+Swtn0cW+zMb+CQxV1uGtKUepqAsvNMQlkZQyjqNpFcbWLH/IrJFjtRyRYFUKIXkI3DA5U1AUeD0qMQpVboX2WPyfV4zVQ1Ybx0LF2M8vPmQjA2t0lfLy9KLBuyawMZo1M7YHWhkeFo478wgMY7rpAgGKOScASn44CxNhMVNd5cbi9PdxS0Z0kWBVCiAh3OLVOW0oZcHv1kMv7ur56PfypHxZT8L+/xdR7S4o5nU42fv8tmltFN1TMjQJV6n+TOVwaNotKjFXCl/5E/rWFECLCHU6t05ZSBpxOX27jgxeld2lbI41cj97B6XTy7LPPYq4oJYpBlBJNenIsFpM5EKjWuTXKHC4mDklgWkZiTzdZdCMJVoUQog9qmjKQbFf69ehpuR6RbcOGDRQUFBCvQJJaS0xCKtVKNLpR69vAgF3FNYxMj2XcwHiyU2N6usmiG0mwKoQQfUhLKQNXHZWG3dI7bw93RuPrccfbDb2sV8xMxW42BaUJ9Nbb533B0UcfTXl5Od999x2XHJVBUcJYNuRVkF9WCwagwJgBcczITOKSWZnyQ6OfkWBVCCH6kNZSBqzm/jdpYePrsXFfRWD5424nJlXFbi8OLJOqCj1HURQWLlxIVlYW48f7fmCsHVLGZzuLAsHq0tlZzBqeLIFqPyTBqhBCiH7FMAwOVrlRVQVrnS5VFXqArutBFQ6oD1gnTJgQeJyRHI210QCyjORoCVT7KQlWhRBC9AszMpMA8Go6Lpe/Z9UesqqC6DpOp5NVq1Yxc+ZMJk+e3NPNEb2ABKtCCCH6BX9ahGEomNSGv1BVFUTX8I/6LygooKCgAEACVtEm+SkphBBCiC7XOFClPh2jsLCwp5slegHpWRVCCBHx/KP23V4drdGcom6vjqrKSP5I1zRQBZg5cyannnpqj7ZL9A4SrAohhIh4/uL+mq6zPq9hVP/yd7diUlUZyR/BWgpUFyxYIAOmRLtIsCqEEKLX0HVwuLxBj02S0BaxJFAV4SDBqhBCiIjQuEB/U7csHIvVrFJe42FDfnlg+Q2njCEp1tJNLRSHQwJVES4SrAohhIgI/lv9Lblr0SSsZi0o0JGR/JHJ6XTyyn+fl0BVhIUEq0IIISKKbhgcqKgLPJai/b2P0+mkpqYm8FgCVdEZEqwKIYSICLef6Ztm0+nWWf7utsByKdrf+yQmJrJs2TJWrFjBmDFjJFAVnSLBqhBCiE5rLd8U2ldayr+Nb9CU3Orv7ZKSkvjlL39JdLRMkyo6R4JVIYQQndaefFPRdzmdTtx1tVijooOWx8TE9FibRN8h91WEEEKEjW4YFJTXBv50w2jHXqI3czqdPP/cKn767E3cdbU93RzRB0nPqhBCiE6TfNO+zTAMckpqyCmpwaMZWEwKOSU1ZCdZWbVqFYWFBdRWlfHTZ28y5cRzerq5oo+RYFUIIUSnSb5p31Xn1li1No/NBZXkltSi6QYmVeHxT3ZRd2Ang2oOBLZNTB+CyWLt0faKvkeCVSGEEEKEZBgGq9bmsS63jJwSB7phYDGpeDQv3+zYR7SmU6mmMZoDDB45ieHT58hgKhF2EqwKIYQQIqS9JQ62Hawir9TB2IGxbDtQg6Fr1BYVkGhXqCAGq66ROflIdEumBKqiS0gikRBCCCFC2phfQXG1i5QYG9FWM4auUVaYh8dVh1nRsePBEp9KfPZkCVRFl5GeVSGEEEKE5HB7cXl04qLMaN6GQNUvLSmBqPhkHO7W6+wK0RkSrAohhBD9lGEYFDaa2hagsKIOwzBQFIUYqxmbRcXh8lK8b29woJqajhGbjMWkEmOTcEJ0HUkDEEIIIfool1fD5dVwe3U03Qj8ub06FbVunvwihzc2FQbt88amQp78Ioc6t8bUjETS4myUOdxExycFtolOSCZ5wCDKHG7S4mxMGZoY1nYbhkFeqQO3puP26rg1nbxSB4bU7e2X5KeQEEII0Uf5ZxbTdJ31eRWB5X99Zwu7ihykxdnIKQku5J9TUovdWgbAL+ZkMW5gPNVOLzklYE4aDJoHJTaJHYdqyE6NYdzAeLJSogkXf6ms9XnleDQdDECBZ77JY0thFZfMyiTKKuXQ+hMJVoUQQog+TtfB4fIGHlfVeamodVPr9pKRHMX+RqkAGclR5JU6iLObyS2t5ZJZmQBEW0x86/Si6TqqojBhUDwThyQE1odD41JZu4tqAoEqBuw4VI1W37N6+dxsGdDVj/SJYHX9+vV8+OGHrFu3jnXr1lFQUAD1L/rWrFixgscff5ytW7ditVqZNWsWf/rTn5g9e3Y3tVwIIfoGl9c3wMZ/u9nP7dVRVWRigB7in1msvMbDhvzywPKjslOocXvRdbBbgjMC7RYTSVFm9hQU80N+KsNnxHL53Gy2HajmULUzMIPVlceNYNygOBRFoS5MA6wal8oalRbL/vL6Xl8FRqXFklsfROeUOBieFhuWc4rI1yeC1TvvvJM33njjsPa57rrrePjhh4mKiuKUU07B6XTy4Ycf8sEHH/DKK69w9tlnd1l7hRCir2npdvPyd7diUlXuWjSpB1vXf/l/JFjNWlBPpEvT8XgN4qLMGHpwx46maZQVHaCqzsMPm7dx7oyhKIpCdmoM2akNAWJ2akzYezcbl8pqeqs/ymoiOcZGcbWLH/IrJFjtR/rEAKujjz6aW2+9lTfffJMDBw5gs9la3f6jjz7i4YcfJiUlhU2bNvH666/z3nvv8fnnn2Mymfj5z39ORUVFq8cQQgjRnP92s/9P13u6RSKUGKsJm0Wl1hXcI2roGvtz91Jd58akGOTu3s6uXbu6rV3+UlnRttA98TE2Ey6PjsPtDble9E19omf1pptuOqztH3jgAQD+9Kc/MWrUqMDyo48+mquuuopHHnmEp556iuuvvz7sbRVCiL6opdvNN5wyhqRYSw+2TIQycUgCG/dXsLmgkhirLxQwdB3NUUGFpuO1xJCq1HLilOGMHDmy29rlL5VV69KItTYPURwuDZtFDbRZ9A99omf1cNTV1fHJJ58AsHjx4mbr/cveeuutbm+bEEL0VjazCZvZhNWsoihK4M9qViVfNQJlJkczMi3WN3DpYBWGoWNoHlR7DBWmRBQFJmaksnTRgm4dyOQvlVXqcDXLg61za5Q5XKTF2ZiWEd5SWSKy9bufJjt27MDlcpGWlsbQoUObrZ8+fToAP/74Yw+0TgghhOg+huIbcG9oXjAMUBQUICoqmtFjRnf7iPvh9aWwqp1edhXVoOtGoBrAruIaRqbHMm5gPNmpMd3aLtGz+l2wmp+fDxAyUAWIiYkhMTGR8vJyqquriYuLa/OYEyZMCLl8z549ZGVlUVJS0slW+1RWVoblOH1FT1wPp0fD6XQGHpeXlaJpDblTZWUl6E5rt5y7tLQEu6Whx6q/vT66+nq0dfyecDhtarptZVUVLnPHb6a199wVte4W3xPtPUZr27V2/Pa236sbeNweTKrS4XaUVzrRG1WcKS8rxabZu+S5tLZdZVXw67yyqpKSkuYBZtNj/Li3gC37SvG43cR5yqiqcYKigqEzMD0Biz2OrfvK2LBrP5nJUW0+l3C+XxaMisHhcKB53OSXOnwxNJCdZGVCmo0Fo2IoLS3t0LHbq799nrYlHNdD0zRMpo69JvpdGkBNTQ0A0dEtFzCOifH9Yquuru62dgkhhBDdZdshB0XVTrw15SjOavS6avTaShRFJWvIQJJjrJQ63Px0oKbb22a3mLhoxgCOG+FLR/D/HTcikYtmDOjxH42i+/W7ntWusGXLlpDL/T2uqampYT1fuI/X23Xn9ahza9jtRYHHSckpmEwNb6Pk5FSSY7umZ7XpuVNSUkPO4tJfXh9dfT3ae/zudDhtarptQnw8doupy6+HWuNu8T3R3mO0tl1rx29v+72ajoKBSVWx2+0daofLVIfa6BZ5UnIKqUlRXfJcWtsuoTy47FRCfELIf+Omx1Cs0ZRV5oHmDvR2maITMMWnYbVasdkVquu8qNaowPFaey7hfL8EZrDaV4eBLwXAUOCbfXW41ZpuncGqv3yetldnrkdHe1Xpj8FqbKyvLlttbW2L2zgcDoB2pQAIIUSkalacX1ECxfuhdxXqr3Z6AKhxetEb1cOqcXqxmBXi7FJx4HDEWE0MTE1hn9uF7qoLBKr+HNWeGnUvM1iJUPpdsJqRkQHA/v37Q653OBxUVFSQlJQkwaoQoldbn9dQQuohZ119T+KhwLLeVKj/7Me+hvpJBwoaTQ265OlvMakqH19/XA+2rvfxl646UJmEYbJjMhuB4O9ARR0eXWfysKRuH3UvM1iJUPpdzuqYMWOw2WwUFxcHpmVtbMOGDQBMnjy5B1onhBDhZxgGB6vcHKhyUVBeGzQwqLcxDF+Psf+vFz+VTtN1nY37giew2bivIqjnuSWZydFkJkdT5dIorCWol3JnUQ0VdV4yk6O7fdT94cxgJfqPftezGhUVxQknnMDq1at5+eWXue6664LWv/LKKwCcccYZPdRCESka3y71azzvuX8ksRCRakZmEtTnaLpczkCO5i0LxmG39q6+itd/NRuAvUUOFv3zq8DyR342jeHp7Quo/O9df6ALvv+6vTqq2rvSIspq3Nz4yiZ+KggO2lZ8k8v6/AruXTwlKP/V6XRy8IePSR41A2tsIoZh8MO+CurcGk1mW0U3fHmjP+yrwDCMbr3d7p/BKi4qdHgSYzNRXeeVGaz6mX4XrAL87ne/Y/Xq1fz1r3/ltNNOC8xi9c033/DEE0+QmJjIL37xi55upuhh/rnOG2s87/nM7ORub1OzHMRG8Ybbq2PtRGki0ff4f1AZhoJJbfjrjYX6/TmpsXYzaqMfirF2c7vzVb/PLQNANwx0TUNRFEymWu54eytmFe5ZPKWLWh9euq5z06s/8eP+CsprPUHryhweftxfwY2vbOL/LZmBqqo4nU5eeuE5aovycVUUM+jI+Xyzt4y9xTV4NJ2EKAsVdQ3HSYiyUOv2sre4hi92lXDcmPRue24yg5UIpU/8a7/zzjvceeedgcdutxuAWbNmBZbdeuutnHbaaQCcdNJJXHvttTz88MNMnTqVk08+GbfbzYcffohhGDz99NMkJsrsGMJHNwwO1OfIaYaBgYGvbHb3a5yDuPzdrZgaRatOp5M/npLdI+0Soqv573S4vTqGEfyjzeXV2hV8l9S4wDdWB4/Xd6tcURSM/PKgkf2R7pu9ZewqqqayzkNilIUShzuwLjHKQmWdh11F1Xyxq4SjMuN59tlnOXCgEADNXYfjYA6f7sikyunFbjERbTUFBavRVhO6YVDl9PLe5oPdGqxOzUjkqz0lbC6oJM4WHKL4Z7CaOCRBZrDqZ/pEsFpcXMy3337bbHnjZcXFxUHrHnroIaZOncqjjz7Khx9+iNVq5aSTTuLWW29l9uzZ3dJuEdn8c5073TrL390G9bdTB8bbg4LEnmAYBoUVTvwdTIMSm5fMEaIv8d/pqKrzBN22fvTT3cRHWdo1WCw11gaAV9c5VNlQwH7i4HiielFP3ac7igKBZtO7KVazit1iosrp5e1NBez8/I2g8RkJGeNJHDGVaqcXr2Zgs6h4m+QBeHUDi1nF5dGpcgb33HY1mcFKhNJ73p2tWLZsGcuWLeu2/UT/4O+p0fXg26mK0nP5qo1zEH3t8H1R3bJgHI6q8jb2FqL3M4zgQVXGYYywOiLLl7pT43JTWu0CBVRF4Xcnj2FwUvPZpyJV40AzFF+gqbF5x25itOBANXnsTBRFIc5uxqwq1Di9NP04q3b6fhBEWUzEd3NJMEVRuGRWJgAmRSG/zBEoXzVmQBwzMpO4ZFamlK3qZ/pEsCpEf9FS0Gw1q3gkX1X0Yf47HdsKq1i9+WBg+S+PHc64wfHtOob//WJSFV+wo/iCo96WwxtnN2M2KXi8OjZT8/e9x6Ph9bjxemugPtacccSRfLc3PhDkzRuTxifbD+H2+n74Nuby6hgGRFlUTp04oFueU2NRVhOXz81m4pAEPttZFAhWl87OYtbwZAlU+yH5dhNCCBHxbGYTNrMJi0kNmoLTYupdgWY4HD8mnXi7GadHo9YdXLWk1uXF4fJg1j1kqr4BZUcddRQnnnxqUJA3OMGO3WJCVWhW/sswQFV8054O7aEUI0VRyEiOxmpSsZpVrCaVjORoCVT7KQlWhRBCiF7k6OHJDE+LxawqQQOjDMOgwukBdOIVJ4OVao466ijmz5/fLMjbeqCazJQY4u0WbE3uytjMKnF2C5kpMWzaX9Vtz0uIlkiwKoQQQvQiiqIwcXA8ze7f4+sWVYBUHMyaNTNkoArgcGsYBkzNSGDMwOCZoMYMjGVaRgKGgdQzFRFBglUhhBCiF8ktdbBmZzEKYG2Us6ooChaTCihUxAxh9Iw5Ld42j7GasFlUnB6DlBhb0LqUGBt1HkPqmYqIIcGqEEII0Yus2VnMoSoXumGQFB08Wj85xobZbMap2PhoW3GLx5g4JIG0OBulDhdOT3Deq9Pjq2eaFmeTeqYiIkiwKoQQQvQie4odOD0aNrPabDIDVVWwW3yDr3Yeqm7xGJnJ0YwbGE9mSgz5ZXVB6/LL6shMiZF6piJiSP++EEII0asY1Lk1NI+LasBQLYHb/WUON4ZhYLeYaK0CbeN6pk63l/0VDQFrdmo0M7OSpZ6piBgSrAohhOizGk/TqtXP1KTpRsNkAr0wGMtItKN7XOiKuX7yWN9ECYqi4KqfRjY+SmXMgNhWj+OvZ5ocbeaL3aWB5WdPHcyiGcMkUBURQ4JVIYQQfZZ/mlZN11mfVwGAR9Nwab5gNdrao807bJrHRfW2r1FMab5K+UbogNLl0TlpXHqbx1MUhUEJwbVUByVESaAqIorkrAohhOjzdB0cLi8Ol5c6t1bfI9m7aB4XB9d/SG5JZcOXd31M2TS4VFXYX17X7BhC9EbSsyqEECLi+W/nezQ9aMYlj6bj8motzmLln6a1vMbD+ryy+n0MLKovA8AwDNze1o8RCfyBqquymELGYQBmRcFkUgO3/qkv6O/3/pZDzBvb/dOlChFuEqwKIYSIeP7b+eUOd1Cf6L/W7CUpxspdiyaF3M8fgFrNGqUONwC6YeCpj+8UXeehj3YSbTO3eIye5nQ6A4EqgAcTJpOFaLsFk6JQXOMObBtvN6MZBm6vQZXT08pRfQzDoLAiuAe2sKIOwzAkFUBEDAlWhRAiAvl7EhtrPEjIpPbPQMJoMpF908ftOwboBigYGPXBa6RyOp289MJzgUAVYFBaMtU1Fryagc0W3BtsNqm4XF7MJoV4uyXEERvUuTVWrc3j851FQcvf2FRIeZ2XS2ZlEmWN3N5m0X9IsCqEEBHI35PYWONBQjOzk3ugVT3Hfzv/h7xy3t96KLD858dkMS0zqV3HSI31zdTk8npxVvp+DCjANfNGMjw98uqJulwunn32WQ4cKAwsS8gYzyUnTue+D3ZwsNKJxRT8o8Xt1XB6NAYm2Jk/cWCLxzYMg1Vr81iXW0ZOSW3QupySWuxWX8rE5XOzpYdV9DgJVoUQIoLphsGB+tu0mmFgYKDQcvDQUqkm3/9Hbg9iW/y38y2m4HHBFpPa7lxTf9ClKEp9xSrff63m9h+jO5nNZuLi4gKPEzLGkzx2JrOHpzAqPY46t0Z5bfCt/so6L0nRFkalxzF3VGqLx84rq2XbwSrySh1kJEcF1VnNSI4ir9RBnN1MTomD4Wmtl8ASoqtJsCqEEBHI35PodOssf3cbAF5NZ2C8HZPaciGXUKWaDMNA0zQUBY4eGdXivl0lVADtf6yqRGSgGAlMJhPnnnsuG4vBMm40noQ0imtcfLO3jHsWTeKmV3/ix/0VQTmrSdEWJg9N5N7FU1BbeZ1sLqikuNpFSowNuyV4O7vFRHKMjeJqFz/kV0iwKnqcBKtCCBGB/AGcrjfkpxqGryewPfmq/lJN+ErGYzO11h/btUIF0ADL392KSVUjdmBTTyurcXPjK5vY7kjDG+3E4/b94Lj7ve2MHRjHPYsm8fy6PB74aHdgn0tnZfDrE0a1GqgCONwaLo9OXJQZQ2/e4x5jM1Fd58Xh9nbJcxPicEiwKoQQfUjjUk0b8suhPpVgbJodaw/3YDYOoAkE4j3apIjidDrJLztIRkYGuq5z4yub+HF/BRV1HgxAVUAHiqqduL0aN736ExcdOSToGJOGJLQZqALEWE3YLCq1Lo0oS/PtHS4Nm0Ulxiphguh58ioUQog+pHGppkCOZn31gJ6qIBAqgAa44ZQxJMW2PmK9v9A8Ll564TlqKku56KKLyPfEsquomso6DymxNkprXFA/k09KrI2yGhe7iqrZcqC6Q+ebOCSBjfsr2FxQSWpM8DReTo9GmcPNxCEJTMtIDMvzE6IzJFgVQgjRpUIF0L7HkTmwqbv5C/4fGGUnymri+eefp2T4KVQ5vdgtJuzmJjmlZhW7xUSV0xuUVnE4MpOjGTcwnmqnl22FVUHr8svqGDc4nnED48lOjbwqCaL/kRswQgghRA9pPDOV3/Tp03EbJryagcUc+mvaYlbxaga1HcwpVRSFS2ZlMjMrmezU6KB12anRzMxK5pJZmVK2SkQECVaFEEKIHtB0ZiqAmTNnsmDBAhLsFswmBU+jqVQb83h1zCaF6E7klEZZTVw+N5uzpw4OWn721MFcPjdbJgQQEUOCVSGEEKKbhZqZavqMI1iwYAGKonDqxIHE2804PRrOJgGr06vj9GjE2UzNekUPVDoPa1YvRVEYlBBczmxQQpT0qIqIIjmrQgghRDdyOp3NZqaKzxjHSafMDwSJx45KDRT+L61x4dUNVHzVAEprXCTYzdjMZnYcqgk69ts/HsDh1mWqVNGndEnPak1NDXl5eRQVFaHroW9hCCGEEP2NP1AtKCgILIvPGEfK2KOCejNVVeXexVOYPDSR9Dg7CqAbvsoOabE2EqNtDEmKIr80eKrUvNJa1uWWsWpt3mH1sAoRycISrBYUFHDvvfeycOFCEhMTSUhIYPjw4QwaNAir1crEiRO55pprWL16tbx5hBARzzAMckpqyCmpYeeh6sD/y+eX6KzXXv1fm4GqX3Kslf+3ZAZ/WDCWGJuZaKuJGJuZX8zJZtLQeA5U1jEsOfgW/rD6qVK3Hawip8TRLc9JiK7WqTSAdevWcccdd/D++++jaVogMB0wYABJSUnU1dVRXl7Ozp07+de//sUTTzzB4MGDueaaa7juuuuIiur+af+EEKI1dW6NVWvz2FxQSW5JLZpuYFIVnlizl4lDErrt9mqoKUo13aif097osZqponOOm3c8L79YiNPpZPqMI/guJ6HV/FBVVZk9IpX0OHtgmcWkUlLjJiXGhtUcvK/NYiI5RpWpUkWf0uFg9ZxzzuHNN98kIyOD3/3udyxatIjp06djsYQu8FxYWMjHH3/MCy+8wO23384//vEPVq5cycknn9yZ9gshRNgYhsGqtXmsyy0jp8SBbhhYTCpeXWfLgSpqPb4A8vK52V0+ACXUFKX+nl1FUZiZndyl5xddY/DgwSxZsoStW7cy7ai5/Pvfaw/7GI2nSvVqzVPtZKpU0dd0OFjdt28fL7/8MosWLWrX9oMHD+bSSy/l0ksvDaQNbNq0SYJVIUTE2Fviu32aV+pg7MBYth3wD14xMXZgLDsP1RBnN5NT4ui2HqvGU5QaGERbzUifau82ePBgBg8eTFmNu0P7N54qtWnPKjJVquiDOvxK/v777zt80iFDhvDQQw91eH8hhOgKG/MrKK52kRJja1a/MtpqJjnG1m23V0NNUaobBpOHJGCzyCjv3sDpdPLe+x+ieYZgauGuY0c0nio1OTr4uC6PRlmtR6ZKFX2K1FkVQoh6DrcXl0cn2hY6GIyxmXB59G65vWozm7CZTVjNKoqiBP5MqiL5qr2Af9T/999/x5Yv3kHzeILWG4ZBbqmDaqeHyjo31U4PuaWOdg3i80+VmpkSw76yuqB1+8rqyEyJkalSRZ8i9wiEEKJejNUcuL2aEuJ7Xm6vivZoWp6qsriQQznbGDx6MjQaxLdxXwXVTi+GYaAoCk99mcPUYYltDuLzT5UK4HB6KKh0BtZlpshUqaLvCesn7saNG3n88cf54YcfqKioQNO0ZtsoisKePXvCeVohhAiLqRmJfLWnhM0FlaTEBt9erXV7KXO45PaqaFWoOqqDR05i0KhJUN+j+ty3+azLLWNvcQ1goKoKhmGw/WAV7voBU20N4vNPlRprVfl6b1lg+RmTB/GzoyRQFX1L2ILVd955h3POOQev10t2djaDBw/GbJbeByFE7zE81Xf7tNrpZfvBGqqdHsyqrxrA9oM1ZKfK7VXRslCB6hFHHInmbQgec0sbBvGNSo+juNpVv6XCqPQ49pa0fxCfoigMTLAHLRuYYJdAVfQ5YYsmb7nlFmJiYnj77bc55phjwnVYIYToNo1vr0ZbTHybU4ZH0zGpChMGxQfqrEowIJpyOp08+8orQYHqzJkzmXfiKax7Z1tg2ab9lY0G8QXf6o+2mrp1EJ8QvUXYgtUdO3Zw2WWXSaAqhOjV/LdXtx2o5lC1E49mYDEpXHncCMYNipNAVTSje93877/PU1tRHFg2c+ZMFixYgNMTXAfV4fIGaqSGIjVShWgubMHq4MGDZSpCIUSfoCgK2akxZKc29Gxlp8ZIoCqa0b1uKjZ9zMHxMcRH+fKc/YFqqNdLjK1hEF+CvXk5KxnEJ0RzYStddcUVV/D2229TUVERrkMKIYQQEc15cC+e6pLA49YCVYApQxNIi7NR6nBR6w4ehFzr1ihzuEiLs8kgPiEaCdtPtwsvvJBvv/2WY445hj/+8Y9MnjyZ+Pj4kNtmZGSE67RCRDT//O4tsZmluLsQvVnUkDFozhqgts1AFSArpWEQ366iatyajqoo6IbBrqJqhqfFyiA+IZoIW7A6fPhwFMVXfuPSSy9tcTtFUfB6JRdH9A/++d1bcteiSd3WFiFE+CmKQuyIGZy1cCDHzpzSZqpI40F8VpNKYYUTXffVWR07MD5QZ1VSToRoELZgdcmSJfLmEqIFumFwoKJhpplBiVGo8n4RotfRdR1VDc6gUxSFkaPHtPs70D+Ib2N+Bd/llqEbBqqicPmcbKZmJMp3qRBNhC1YXbFiRbgOJUSf4Z/f3enWWf5uQ/maWxaMw26V2Y5F39J4ClF/AJZb6iApxtInAjCn08lzL73A9OnTGZA9rlPHUhSFzJQY4hoNsspMkUF8QoQiww2F6EL+nFRdJ2g+d6tZlXxV0ae0ZwrR3szrdvH8c6soPnSA/fv3M2ues819DMMgp6SGnJKaQAm0nJIaxg2Kl6BUiMMgwaoQQohOMQyDVWvz2pxCdNG0IT3d1A7xul1sXvMW1lQDi8l3R6S4qAiIanEff/C+uaCS3JJaNN3ApCo8sWZvYHIJIUT7dDhYzc7ORlVVPvroI7Kzsxk+fHi79lMUhT179nT0tEIIISLM3pL2TSGaX5bUwy09fP5AtbqsCFLToL481eRZ87h36xch92kcvOeUONANX5Dr1XW2HKii1uOrEtJbg3chuluHg9XMTN9oRYvFl2+TkZEhtzWEEKIf2phf0a4pRH8qqOyxNnaE0+lsCFTr+ctTFVa0nAbQOHgfOzCWbQdq6teYGDswlp2Hem/wHoqkO4iu1uFg9bPPPmv1sRBCiP7B4W7vFKKt1x2OJE6nk+efWxUUqB5xxJFt1lGlWfAefE2ireZeG7yH0p50hyir5OeLzpGcVSGEEJ0SY23vFKK9I2hxOp08++yzFBYWBJYNHjmJU+e3HajSR4P3UAzD4Llv89tMd7h8brb0sIpOkdo5QgghOmVqRmK7phCdNCShx9rYXv5AtaAgOFAdPn1OuwOuxsF7KL0teG9JbmlwukOc3UKU1USc3cLYgbHk1a/PKXEc1nFdXg2XV8Pt1TEMI/Dn9uptzgoo+qYOB6tnn30269ev79C+dXV1PPDAA/z73//u6OmFEEJEiOGpvilEM1NiAlOIenUDt6azq6iazPopRjOSo3u6qW1yu93U1tYGHh9uoEqz4D14xsZat7dXBe+t2bS/sl3pDj/kVxzWcW9/cyu3v7mVhz7aidOrB/4e+mhnm7MCir6pw8HqwYMHmTlzJnPnzuXxxx/nwIEDrW7v9XpZs2YNV199NRkZGdx2222kpaV19PRh8d1333H++eczePBgLBYLiYmJzJ07l6effhrDMHq0bUII0Vv4pxCdmZXM2IHxKCi+KUTxTSE6Myu510whGh8fz7Jly0hKSuKII4487ECVJsH79oM1VDs91Lk1qp0eth+s6VXBe2scLl+6Q7QtdA9xjM2Ey6PjcHdsinVFAbOqBv56wctHdJEO56yuXbuWV199lTvvvJNf//rX/OY3v2HIkCFMmzaN9PR0kpKScDqdlJWVsWvXLn766SdcLhdRUVEsW7aMW2+9lQEDBoT32RyG//3vf1xwwQVomsb06dOZO3cuxcXFfPHFF3z55Zd89NFHPPfccz3WPiGE6E3aM4VoXS/J0UxISOCKK64Ak5V172xrxx7B/ME7QLTFxLc5ZXg0HZOqMGFQfGDgUU9fD/8tdU99HVw/j+a73d7WxCUxtoZ0h5SY5usb0h0OL9Twz/xXXuPhx/0Ng9Bunj+OpNjmOdGi7+vUAKtFixaxaNEi1q1bxzPPPMOaNWt4++23m/VKJiYmcvzxx3PmmWdy4YUXEh8f39l2d4rX6+Waa65B0zSee+45LrroosC6bdu2MWfOHJ5//nkuv/xyjj/++B5tqxBC9Ba9cQpR3eumpqYa0mODlkdHR3cqmPQH79sOVHOo2hko6XTlcSMYNyguIoJ3/y31Q5V1QctXfpPHe1uLuGvRpFb3nzI0ge9yy9hcUElKkyDSn+4wcUgC0zISD6td/iDZataCXjsy81//FZZqADNnzmTmzJkAVFdXU1hYSFlZGVFRUaSlpTFkSGQVPt6+fTtFRUWMGTMmKFAFGDduHJdccgmPPPII3333nQSrQgjRR+leNzWbP+F/L+wi+zdXhr0jRVEUslNjyE5tCISzUyMneNd1vUPr/LLq0xmqnd5AuoNZ9VUD2H6whuz6dIjs1BDdrkIchrCXroqLi2PMmDHhPmxY2Wy2dm2XkpLS5W0RQohI5r9V7PbqaHrDXTO3V0dV6bU9Xb5A9VO81aVUVMSyYsUKrrjiCqKiWp5Cta8x8AXNTUNnpdG61rQ33SFSgnPRe/XLOqvDhw9nxIgR7Nixg+eff75ZGsCqVatISkrinHPO6dF2CiFET/PfKtZ0nfV5DaO6l7+7FZOqtnmrOBLpHl+Pqre6LLBs5MiR2O32Hm1XdzOpviDSbAoea202qYF1bWlPuoMQndUvg1WTycTKlSs5/fTTufjii7n//vsZNWoURUVFfPHFF4wfP54VK1aQnJzcruNNmDAh5PI9e/aQlZVFSUlJWNpdWdn7ZzsJp+66Hk6PhtPpm1rRqxsoGJhU34d7eVkpmtYw0rWsrATdaW31GAClpSXYLYfXI9VaO0pLS3DV1rRxhL6lrWva2ddHOP7NwqGi1h14jemGgcvlxNBMbbap6X5ujwd0rc39mgq85jSd6jp3YHldnROzSW32+db4vNS/J5w1vq+aijo3Xq8nsO5gcRHOGitWc3Cw1Nq1r6ysCtq2srKCkpK2b1n726V73Bxc/z7e6tL6NQojRo3myCOPpLS0NGif1tpRXulEbzQ+o7ysFJvWPNht7RihrlWoz4/WtquqCr4eVVVVlJQ0/2oPdYzfzPYNct5ZVMP7Ww8F1l04NZnR6bHN/m1bey7xisag2Ibzxit1lJa66Yz2Xp+uIN+3wcJxPTRNw2Tq2GdovwxWAY455hjWrFnDOeecw4YNG9iwYQMAVquVk08+meHDh/d0E4UQosfdeILvNm9FnZsfC6sDy6+eM4TEqPYFDvd+kgeA26tRWtsQfDz2xX6sZhN/PCU77O1uzDAM9pU7qap1UZW/HY8lDjWqDr2uGtug0cw+9vh+2QPo/5FgMalBN/0tJrXZDwghelK/DVZfeOEFfv7znzNr1ixeeOEFJkyYQGFhIffddx/3338/n376KV9//XW78lu3bNkScrm/xzU1NTWsbQ/38Xq7rr4edW4Nu903P7hX01EUAj2aSckpmEwNb6Pk5FSSY5t/gTc+BkBKSuphz5fdWjtSUlJx1Pdw9JfXR3uvaUevRzj+zcJBrXEHXmOKYWCz2bHV/1u31qam+1ktFqxmE3a7vUPPxV7jxmzeE3g8MC095Gu98Xmpf0/Y7b4eS8PtpXGVJIvVht1qbvZv1Nq1T6gJDqISEhJJTW35Lph/7voNuaVUlJaiRyWj2uKxxqSjmi3YUoeRnJxCampsyH1baofLVIfaKMBNSk4hNal5vmtrxwh1rdp7Tf3bxRcH1zCNj48P+Zpv7RiHXA0j+RUFEhOTSE1tPmFBa8+lK94v7b0+Xam/fJ62V2euR0d7VemvwequXbtYunQp6enpvP3228TG+j6kRo0axRNPPEFhYSFvv/02//nPf7j66qt7urlCCNErGIZBbqmDaqcnUGc1t9TBbWeMQ1EUCsudfLyt4XbztSeOZnBS1+WJGobBqrV5rN1TzA97CtE1D+heUM2YkwaiWqMx6rcTQkSuftnP/+KLL+LxeJg/f34gUG3s/PPPB+Dzzz/vgdYJIUTvU+fWePKLHJ76Modqp5cap5dqp5envszh2W/y0XXfbWdFUQJ/XV03c2+Jg60HKvlx7wFivZXgqgGPE7PFimr19YLqBnyXV3ZYAathGOSVOnBrOm6vjlvTySt1SNArRBfpsp7V0tJSqqqqiI+Pj7gSUPv374f6WUpC8S8vLy/v1nYJIUQ4NO3hBKhxWUgydU3/hL8Hc11uGXuLawADVVUwDIPtB6tw19/7XzBxYJecvyUb8ysoqXEzIDGa2uIyQEFNHIhhjYZGceVTX+ZQXefl0qOz2rx17U8rWJ9X7pv5yfDVenrmmzy2FFZxyazMHkkXEaIvC+snV0VFBTfccANDhgwhPT2dkSNHkp6ezuDBg7nxxhupqKhox1G63sCBvg/M77//PuT67777DoCsrKxubZfoXfy9K9VOD5V1bqqdHnKld0X0sFA9nDUuL7tLatldUodXa3vk/OHaW+Jg28Eq8kodjEqPw2JSMasKFpPKqPQ48kp96/eV17XjaOHjcPvmrh+QmsTQocN8gaolGr3JWzSvtJaX1+/n6a9yWn3/Ng7KdxyqDgSqGLDjUDXrcstYtTavWz4Dqp0eqp0eat3BOau1bi/VTk+L+wnRG4UtWC0oKGDGjBk88MADuFwujj/+eC644AKOP/543G43999/PzNmzKCgoCBcp+yws846C+pv8//zn/8MWrd27VoefPBBABYvXtwj7RORz6vpbD9YzTPf5DW75fnkFzk9Po2i6J8aB1PbD1YFejgBKp1eShxudhXVhD2Y2phfQXG1i5QYG9FNehWjrSaSY2wUV7vYUti95YBirA1z11tjEzAs0YR65pru++H59k+F9T3DoeWWNgrK02JRVQVVUVBVhVFpsYGgPKfE0aXPC+Dsx77m7Me+5q/v7gha/td3d3D2Y193+fmF6E5hC1Z/97vfkZOTw9/+9jf279/PRx99xPPPP89HH33E/v37Wb58OTk5Odxwww3hOmWHTZ8+PdCOa665hokTJ3L++eczZ84cjjnmGBwOB7/85S856aSTerqpIgIZhsGuohqKq12+3pVAQOC75dmdvStCNNZaD2e8zYzDpVFR6ya3tDas5/X3YEbbQt/+jrGZcHl0arvhR5zT6WTdunUYhsHUjETS4myUOlzkldWGDFSp7xz16gb5pbV8sOVQC1vBpv2VgaC86a3+qEZB+Q/53XcXMdTsU0L0NWHLWX3//fc588wzufnmm5uts9vt/OEPf+Cbb77hvffeC9cpO+Xee+9l9uzZ/Otf/2L9+vXs2LGDuLg4jjvuOK644gouvPDCnm6iiFDVLi8VtW5qXF6OGpRMaY2rfo3CqPQ49pbUEGc3k1PiYHha8wF8QnSV1no4zaqCzazi9Ohs2l/B+MHxYTtv4x7MBLul2XqHS8NmUZu1KdycTifPPvssBQUFVFZWcuKJJwbmrv9qd8uTs9gsJpweDZdHZ8O+lscqOFy+oDwuKvRXZ4zNRHWdF0eTW/Nd4fVfzQZgY345l/7nu8Dye86dxNSMpC4/vxDdKawDrFqayclv0qRJETXC/pxzzpEpVcVhK6tx4/To2Mxqs96V6Ca9KxKsiu7k7+FsKZgyqwqabuBwhTeYmpqRyFd7SthcUElCVHCwWuvWKHO4mDgkgQmDQw9qDYfGgSrAV199RUZGBpfMGgnAdzll1BK6Z1dVFBQF9Pr3d0tibA1Beay1+TX2B+UxIdaFW1z9j4LoJueKtpoD64ToK8KWBnDsscfyzTfftLrN119/zbx588J1SiF6hEc30HQDsxr67eO/5dkdvStCNNa4hzMUr25gUhVibOENpoanxjBuYDyZKTHsKqrGrel4dQO3prOrqJrMFN/6YSGK5odD00AVYObMmYwePTowd/2oAS3/cNQNA8MAVYHkmJaLzk8ZmhBIK2ial15XH5SnxdmYlpEYpmcmhCCcwerDDz/Mrl27uOaaazh48GDQuoMHD3L11VezZ88eHnrooXCdUogeYVEVTKqCVw89qro7e1eEaKxxjmbT/FCvbuDy6tgtKlOGhjeYUhSFS2ZlMjMrmbED41FQ0HUDBYWxA+OZmZXMJbMyu2RKU5crdKC6YMGCwPkURWFWdnKL+Zwuj+9a2cwmpme2fAs9K6VRUF5cg64b6IaBrhvsKq4JBOXZqTFhfpZC9G9h+zb9xS9+QUpKCk888QRPPfUUmZmZpKWlUVxcTF5eHl6vl0mTJnHZZZcF7acoCh9//HG4miFEl0uOtVJU7aK81tOsd6XxLU/pXRHdzd/DWe30Bno4VUVBNwyqXDpxNjOJ0VayUqLDfm5/D+bG/Aq+yy0LzGB1+ZxspmYk+gLHMA+SN7xu3n31JcyuhgFNTQNVv3lj0nni85xAzdcgioJZgczkaE4ZP6DF8/mDcgCTopBf5giUrxozII4ZmUldFpQL0Z+FLVj97LPPAv/v8XjYvXs3u3fvDtrmxx9/bLafvKlFb+P/wvdovt6UxgHBrqJqhqfFSu+K6BGNgymrSaWwwomuG6BAgt1MUrSVUemxXfa5qygKmSkxQTmTmSkxYTufpml8uNV3587QdbS6atYX6xwRAyZTy4Eq9b2isTYT1S4DjxZcF8BqUhiaHM1pkwe1mWfuD8onDkngs51FgWB16ewsZg1Plu80IbpA2IJVvYVbokL0NYqiMCrd94U2MN7OwUpfQKAovlueU4clSu+K6DGhejgBRqZGkxRtwdxFs1h1tYLyOpb+Zx37y2sDZeFMMYnsVOIp9Hq4cWp0i4Eq9e/bhGhfPmqtx4vT0xCwTstIYt7oNC49Oqtd71tFUchIjsba6FpmJEd363ve5fXd1fE06Sn2aDourxbWaWz953J7dbRGMyq4vTqqSpdOmSsEXTndqhB9mdmkMnZgHGdNHcKG/PLQtzy7gP+LQtMNfKfwPXZ7fXOUW829MxAR4dW0h1M3DGJtpl77A0rTNJb+Zx35ZQ7cmgGGgWHoKIqKhhkHFlbkxnChrmMytRw4qYpCYrQVi1vB7fWN+leAXx47nONGp/Wq63Pr61sAKK12Bi3/f5/vJSXOzt8XTw7buW5/cysAmq6zPq8h5WL5u1sxqSp3LZoUtnMJEYoEq0J0kL93patueYayPs9XA9Lfs+Q/1/J3t+Jxu/njKdlddm4hesqrPxRQWFmHWzOwmRSchgK6gaF7sFgseA2Fwkonr6wv4IKZGa0eS1F8kyT4JvbylawaltS9vaLh4P8s8A8O89txqAZbWddMa6soCkMS7UGPhegOYQ1WdV3ntddeY/PmzRQWFuLxNJ+fWFEUnnrqqXCeVoh+x8CoH9zl+7KQLBzRl7314wHcXh2TAiaTiqIZYDKDrmO1WjA8Gm6vzms/tB2s9hVHZPoGcFbUethf0RCcThgcT2J0cJ1VwzDILXVQ7fQE7gLlljpIirG0K+C8/czxXfAMhGi/sAWrW7du5YwzziA3N7fVaSYlWBWi42bUl9Vxerz8tL8y8EVzwylj0J1VPdw6EWn8n8WG4asN7P/rbbmGNU4vuuGrEeunKIpvVBWg1k92UO1q3kHSV91x9kQA9hY5+Hh7wxSx1500muHpDYM769waq9bmsXFfBdVOL4bhy69/6sucQH59W3rL60T0XWELVq+++mpycnK49tprOe+88xg4cGCruUNCiMPn/7I2qQqKogSCVatZRZd8VdFESf1UwAawVdNQVQWTqa5X5Rp63S5qK0tRFKuvskGIrxVd9/UWxtn6z8xN/gDSalaDeketZjWwzjAMVq3NY11uGXuLawADVVUwDIPtB6sCZbyOHp7cQ89CiPYJW7C6bt06Fi9ezIMPPhiuQwohhAgDw4Baj6/Emqp60XXoDUUBvG4Xm9e8xcCkVAr0TLyY8HiDczQ9Xg3NgGiLyjnThvRYWyPR3hIH2w5WkVfqYFR6HMXVrvo1CqPS49hTXEO01cTgRDuB+6FG11QUEKIzwhaspqamMmSIfFAIIUSkSI21AeDVdYxAz6qJG04ZQ1JsZPdC+gPV6rIipiQZbGMgNUTjaZKf7dHBpPjKyC2eId9BjW3Mr6C42kVKjI1oa3DgGW01UVHr5ps9pew6VB1YbgCPfrKbxGgL950/tQdaLURzYQtWL7jgAlavXo3b7cZqbXluZSGEEN2j8XSjKA2pI41vFUcip9MZCFQBVBVmD4nm80Mm6twajUdFKIDNYmLhpEGoavi6iw3DIKekhpySGjyagcWkkFNSw7hB8b1mFLzD7cXl0YmLCv1VX1brBgMqat1By7/ZWxqUHyxETwvbO3v58uVkZWWxcOFC1q5di8MR5nn1hBBC9HlOp5Pnn1sVCFQBMiceSXTqEIYkRjEyLXhmuJFpMQxJjKKwso6ckvB879S5NZ78Iocn1uwlt6SW/NJacktqeWLNXp78IqfZNMs9xTAM9pXVotcPnNN132P/wLoYqxmbRaXWFbq9FpOK1awSa7eg1gcEKpASawv0ygsRCcLWs2qz2bjqqqtYsmQJxxxzTIvbKYqC1+sN12mFEEL0EU6nk2effZbCwoLAssEjJxGfPZnizQdJjbURazOxq7ghKM1KjaHapVFc7eKH/Io2p0ttS+NBSTklDnTDwGJS8eo6Ww5UUVtf13TBxIGdOk9nFVU5een7fazPLafx7LErv85lc2Elv5gznKkZiXy1p4TNBZUkRAWnfdS6NYYmRjFuUDzHjkrjrtVbMAwwmUz87exJTB4W3/1PSogWhC1Yffrpp7n88ssxDIORI0dKNQAhhBDt5g9UCwqCA9Xh0+fgcGut3s6OsZmorvPicHe+I6TxoKSxA2PZdqCmfo2JsQNj2Xmohji7mYlDEjp9ro4yDIMFD39BnUfD4w1O4v1ydwnf5pZhM5v4xZwsxg2Mp9rpZVdRNW7NN8hONwx2FVWTlRJDrVvj0x1F1LoNDAxUL7zwXT7bDvrKWkVZ5Xtc9LywBat/+9vfSE1N5YMPPmDKlCnhOqwQQohOMAwDj6bjrL91bTYZh1UQvju0FqgqikKMreF2dqytefDkcGnYLCox1s5/pQUPSgo+XrTVTHKMjeJqF1sKKzt9ro7KK6vF5dXxaDoWs4qnUVqCxazi0XS2Hawit7Q2UEfValIprHCi6746q2MHxuH06BjAjkPVvkBVUYDgslaXz82OmNeJ6L/ClrNaUFDAz372MwlUhRAiQuiGQWWdh8paD7VuDYdbo9rp5akvcyIq9/LQoUMcOtRQ2P6II44MBKoAU4YmkBZno9ThwtlkelGnR6PM4SItzsa0jMROt8U/KCk6RFBMfS+uy6NT24PXbnNBJZOGJDBtWBInjh1AnM0c+Dtx7ACmDksMpEVEWU1cPjeby+dkE2c3E2s3E2c3s2DiIOKjzOwvr2VUehwWk4pJ9U1FOyo9jrxSXw9zuPKAheiMsAWrY8eOpapKZtARQvRuLq+Gy+ubvrPprE8ub2QEd+1hGAZVdR7q6qciNQyCes7W5Zaxam1eqzMOdpfMzEx+9rOfYTabmTlzJqfOXxDUm5eVEsO4gfFkpsSQW1obtG9uaS2Z9euzU2NCHP3wtDUoyd+L27QUVHdyuDU03SAuyozFpFBf7AFFAYtJIT7KgsujB9IiFEUhMyWGOLuFhCgrcXYLZQ43JTXuFsta+XuQf8iv6KFnKUSDsKUB/PGPf+Syyy7jhhtuYMKECeE6rBBCdKvb39wKgKbrrM9r+KLuTbM+EeJWsYoBioKq+ArC7y3x5V7mlDg6PSipPQzDIK/U4bu9bPhqTuWVOhicaEdRFEaOHMmVV15JamoqzibFVBVFCdzOdns19pXXBdYNT4thZlYyl8zKDMvt6saDklJimw5K8lLmcDFxSAITBvdczmqM1RQIqBPszevltictojvzgA+X/0eh70dWw48p/w/GSC67JrpG2IJVh8PBcccdx5FHHsmSJUuYNGkScXFxIbddsmRJuE4rRL/QtOYjhq+nr+lUiyJ8dB0cLm/Q456c9cmo/zfPK62F+h601up+bi6oRNMNzKovQKXRl37TnrOuDlb989OvzyvHo+kY9XmTz3yTx5bCqsBAnrS0tBaPEWX1DRhSMFizsySwfO7IVC6bkxW2GqvDU2MCg5K2H6yh2unBrPqqAWw/WEN2agxjB8ah63qLgXd7GIYvd7ja6UE3fPmiTXOJq50eAGqcXnS9IYAfnhpLYlQZOw5Vhxzl7w+oW0uLCEfA21X8PxhdHi0wZTDA39/fjs1i6jU/GEX4hO1VuGzZMhTFN+fwv//9b2hUkNrPMHwfUBKsCtF+/i/6zQWV5JbUoukGimJQ69axmVXioyJ7JqKu0JUF228/czwA5TUeNuSXB5b35KxPev0tfX9PqWGASVV4Ys1eJg5JCDlq2+HWMAzfXPChdFfPWeNSULuLajB0A29VMYrZyo6D0Wj1QXRbA3n874Mvd5cELf9idwkGSthGrjfuxY22mPg2pwyPpmNSFSYMimfMwDg8Xp1/rtmLy9sQrD7+2R42F1Ry6dFZbbbD/1w27qug2ukNfDc+9WUOU4c1jMI/+7Gvob6Xv6CioTf5j6//SI1LY3pmUshR/sPTYttMi5g4JIGN+ytaLGvVnoC3q6mKEjTITZUf5v1WWEtXCSHCq6Waj27Nl1ep13/RR0LeYXcJFby3FbgdDv8tRqtZCwqeemrWp8a5px5Nx25RsZpMzep+Ng32YqymQAcCIb7ku6vnLK+sNlAKKjslij07d6B7nABEuaPILVHbTEcwDIPnvs1nXW4Ze4uDB/zsLXZgrf93CdfIdf+gpG0HqjlU7Qz8ILry2OF8uqOI1zcVcqDC2dBZbcDGfRUcqnbi1Q2unjeixXYEP5cawPeDwjCaj8L3UxWFWFvDv5NJVYmPUpmZlRxilH98IOBt7VpkJkcHlbXy1Ae8Xtof8HaVWxaOBcDp1jHe2x5YftP8sditPXh7Q/SYsH1KLV26NFyHEkLUa6nmo1VXAgNnVEUhv6yWYd3/ndLt2luwvfEXfW/XOPfUalaJtZkxqWqzup9Ng72JQxIwqQour46iGEGjabuz52xzQSXF1S4S7SbycnMxTBYUsw0MHdVkJjnG0mY6Qm5pw/sgKyU6KGc1KyWavFJH2PNvFUUhOzWG7NSG4xkYvLflIIX1528cChqGQWF5Has3H+DUCQMYkR46Da7xcxmVHkdxtf82d/Nc4td/NbvVNsbazGzMr+C73LJAKsHlc7KZmpHYZtDeuAfZalIpKK+rP4ba7oC3q/ztXV+Aquk6G/c15I3f+8H2XpU3LsKn+5NRhBDt1lrNR1VRMKkKmm7wU0Elw0Z3/SCZntbegu05JQ7i+8gdw2a5p400rvvZNNjLTI7GZlbRDQOPV0dVQFXp9p4zh1ujps7DvkMl1LlVFHssKCqqaqJCicXp8JBgp9V0hE37KwPvA7sluHfbbum+/NuPtxdzqMqFbhgkx1ipa1RGKzHaN8L+UJWLD7cWtRisNn4ubY3CP3fG0Dbb5B/l3/hxewNMfw/yxvwKvt1bgm4YmE2mdge8XU1RFIYk2oMei/4pbMFqfn5+u7fNyMgI12mF6NP8NR9bGrGrKgq6buCIkHqZXa29Bdt/yK/guEx7i8fpTTqae6ooSiCfWanvpeqJnjMLGnkHS3B4QccCeFBVFcVspbLWg8PkRdN1oi0tp1g4XK2/D7or/3Z3UTVOj4bNYsLcZECXWVWxWUw4PRo7D1W3eIxIeS5+/rJW/skWTCbzYQW8XcGfNy6EX9iC1aysrHa/uDWtf3yxCtFZjWs+poToANPrB2bE9JMpEdsK3nuy3E5XCco95fByT1VFISHKgs2i4qy/Jt3Zc6Z5XPy07kvc3gQ8WLDhxqMqqGYbKBBjM1PmcBFnN5MWZ2vxON05g1Xr6q9XSyniRuurafJcIm0UfqSQ0lSiqbC9G/785z+H/OCrqqpiw4YNrFmzhoULF3LkkUeG65RC9Hmt1XzUDV+xeptZZdKQBKDv/whsK3jvi1/0jXNPVTU4DGpc97Nx7mnTskgGYDMpWM0qZrOlW3rONI+Lg+s/JH3EUFTisaBjmH2lnQx8EZ3D7SWmPge3uFGJoqamDE3gu9wyNhdUYlaDg1r/DFbdkX87Kj2GtXtNVDs9aHrwa0zTDVxejTi7hTEDWk5FaPxcumsUfnvKZAkRycL2iX777be3uv7111/n4osv5tZbbw3XKYXo81qq+ejWfIOrLCYVm1klIzkaw9Xyrce+or0F231f9M4ea2c4Nc49dXt1alzeQDUAf93PxrmnocoioUAdYDMbJMZ0fSCve90cXP8hrspivEomdrzE2KMw2aMoaDQ4KiHKQpTFREKUpdXpS/0zWFU7vWw/EDxTYm5pLWMHxXdL/u0JYwfwwdZDONxeyuvcjUvXUl7nRlUVBsTbOHn8gBaP0fi5dLTs1OFoT5ksISJdt3U/nH322Zx88sncfPPNfPrpp911WiG6jH9Gnq7srWip5qOq+G6V+eusBnqr+rj2FGz3f9GXlvaNYLVx7qlaPwNV47qf/nJd/lQBf7WExmWRNN3Ao+sYQFWdp8tLnSmqGUtULK7KYsxopCTGkZiUTLTVzIHKukBt0jED4nC4vVhMDb3hoWro5pY6uPgo31iHrp7BqjXZqTEsmDiI138ooLCyLug9pwCDE6JYMHFQq4O8mo7C70jZqfZq6fXQtEzWomlDOn0uIbpSt94rGzVqFP/85z+785RCdAmvprOrqIaK2rxWi3qHQ6iajxgGh6pdWE39awartgq2Nw7c+hJ/7qlb0xkQZw/MYHXlcSMYNygu8HwbV0toXBZJVRR0xcCjGbi8OvlltaS0kiPaWYqqkjbpWACOnZjNXvMQNhdWEmez+Coa1P/zmBSFMoc70BveVg3di4/KYGC8LWgGq8XTh3L6lMHd8m+uKAo/PyYbs0nhi10lfLW7BH8Z22kZScwdlcqls9oev9F4FH5Hyk61V0uvh6ZlsvLLksJyPiG6SrcFq4Zh8PXXXxMdHd1dpxSiSxiGwa4iB8XVLirrPK0W9Q5nD2vjmo9Oj5fyWk+fC8rao8WC7U0Ct75GURQsJpXMlGhs9SPns1ODc0+DqyUE/1hSFQVVNQKlzqZldm2A4g9Yf3bG0by2sZBql5ddRTXoui8tAQN2FdcwMt132zsrJZqnvsxts4butGEJQecZnBh1WP/mhmHg0XT0+sRZxYB9ZbUMT2tfHm+U1cQVc4czaUgi3+WWBXqJr5k3klnDk9vdFv8o/I6WnWqP1l4Pjctk/VRQGbZzCtEVwhasfv755yGXe71eCgsLWbVqFWvXruWKK64I1ymF6BHVLi8VtW5qXF6OGpRMaU3LRb27es71/ipUwfamgVt/1J5SZ4Zx+KXO2hqg43Q6OXjwIFlZWUH7KaqKqqqB3nCTopBf5ghKA5iRmcQlszLJKa1tVw3dgfEd7xHWA7OBeeuDVV/c/Ny6fHYV1bT7joiiKGQkR2M1NZSvykiOjrjXX/urZ/T9wZmidwtbsDpv3rxWp5dTFIVFixbxwAMPhOuUQvSIsho3To+Ozaw2+2JrWtRbglXRnRpXSwhVFslfZ/VwSp21NUBn8dQBvPLf5zl48CAXXHABqYOzmh3D3xs+cUgCn+0sCgSrS2dnBXoj21tDd+ehmmbHb4/G09a6vcE5u7sa1UUN5x2RntbW66GheoaUihKRLWzB6tNPPx1yuaqqJCYmMn36dIYMkSRu0ft5dN+tVIsp9BzVfbHWp+gdGldLaFoWSTcMdB0sFqW+1Fnb2hqg43R7WPvtWobWFKAo8N///pfzLl4W8lht9Ua2txew8axRh6PxtLUWk2/Qma9dMDwttkumbO1prb0eGpfJau/rQYieErZgdenSpeE6lBARyTAMqp0eKmvdOL0aTq8W1NPk1xdrfYreoXG1hMZlkTTdQNcNzI1KnbVHawN0RqRE88OeQuI1D/FmGwmKiyOOOIK0tHRg72G3vb01dKNamemqNa1NWxvVjVO2hovL6wva3V49qLqD26vj8mrYzKYWXw9Ny2S19/UgRE+Rb1Mh2sE/+r/c4abG7cXt1dF0g20HqnBrBlaTr+eoq4p6C9EeLZdFIlCT11/qrD1aGqCj6zqF+XsxeXXqFAvFRiynHDWV+fPnU+7wdKjt7a2hO7qVgvut6ei0tZHq9je3AuDyaJQ0mlDh7+9vx2YxcdeiSe0uk1UnOasiwnU4WG1pQFV7HHvssR3eV4ju5hv9X0NxtYtqpweb2fel7/RolDhcvl4rQ0FV6JKi3kIcjlBlkQzAqhhYzWqzXsXWhLo1r+s6dcX7qU0wYVateAwTQzJHMH/+/E7lera3hu6gBHuHjt942tpQ7eytd0RURQnK8W3Wa9yOMlkSrIpI1+F3ZWsDqlri/5DQNHljiN4jt9QRGP2fGGXBbFKJAyrrPFjMKocqnWi6gWpSw17UW4iOaFoWyavrGJp22K/JpgN0/IGq5q4DYvEaKsmJ8Rw5bVKnX+/traG7tbBjZZYaT1trbpJuXteNU7aGy+1njgfA6dZZ/u62wPI/LhyH3Rr8BLujTJYQXanDwWpLA6qE6Gs27a8MjP431w8OURSFxGgLWSkxgdJVVrMa9qLeQvSkxrfm46xqo0AVvKgoUQmMyxrC9Izw1Gztyhq6TaetDWR5GrC3uIZRA+J61R0Rm9mXlqHrYGqU2mA1q4F1QvQVHQ5WZUCV6C8cLm8Lo/8VYm1mLCYVXTewmVXprRB9SuNb8xt2F6ApJrDYQTXjikplclY64waFN8Drqhq6jaetBQOvu2FQ0qgBcd02ZasQ4vD1ruQcIXpAjM2MSVXw6jrQvFyVXp/ecji5gEL0Bo1vzeseFx+XloHJitlm54iRg5g6LKlXBXj+aWvNJnB63FA/KcDFR2Vw3Oi0XvM8hOhvOhWser1eqqqqiImJwWYLnlWkurqaO+64gy+//BKHw8GcOXP405/+xODBgzvbZiG61ZShCdgtKuW1HuxmPZAKQH3BdK2+V1VuvfUe/rI/LZF/ywb+W/NHZCbxQ24JdZWlxCancPmc4b0y5cU/ba3vzrmCosCwpMibfUoI0aBTwepDDz3ETTfdxJo1a5gzZ05geU1NDUceeSS7du0K1H/bvHkzq1evZsOGDSQlde2c1EKEU1ZKDInRVjyaQUWdB5vZFJizfFdxTaAkkMUkX3a9hb/sT0vuWjSpU8fva8Gwf4BOUmIiSYm+AUiS8iKE6C6dClY/++wzMjIyggJVgH/84x/s3LmT448/nqeeeorY2Fjuuece7r//fu6//37++te/drbdQnQbRVEYle7LnzOrCk6vFhilPGZAHFV1nsOqXSkih24YHKioCzwelBgVlnSOrg6Gu5rT6eSjjz7ipJNOwm7vWKkoIYQIl04Fq1u3buW4445rtvzll19GVVVWrFjBsGHDALj33ntZvXo177zzjgSrotcxm1TGDoyjotZNmcONZoDFpLB0dhY7D1VLoNrLtFT255YFzcv+dEZXBcNdyel08uyzz1JQUMCBAwe49NJLJWAVQvSoTgWrhw4dCgSjfg6Hgx9//JGpU6c2W3fcccfx7LPPduaUQvQYRVGIs1uIj7JgUn0BTeO5zUXv0dVlf7orGA63xoEqQEFBAT/88ANHH310TzdNCNGPdSpYNQyD8vLyoGXffvstuq4za9asZtsnJSXh8XRsKj4hhOgtemMNzKaBKsDMmTOZNWsWhmGQW+qg2ukJzICUW+ogKUbSX4QQXa9Twerw4cObTbv63nvvoSgKs2fPbrb9oUOHGDhwYGdOKYQQIsxaClQXLFiA06Ozam0eG/dVUO30BmYifOrLnMBsbVHWyAzA/ZoG25pu4Bv7G3rqVSFEZOnU/aizzz6bLVu28H//93/89NNPvPrqq/zrX/8iKiqK0047rdn2X3/9NSNGjOjMKYUQQoRRa4EqwKq1eazLLWP7wSrAQFUVwGD7wSrW5Zaxam1eoOpLJKpzazz5RQ5PfZlDtdNLjdNLrVtDN8CoD2SFEJGtU8HqTTfdxOjRo3n00UeZOnUq5513HjU1NfzpT38iISEhaNtNmzaxbds2TjnllM62WQghRBi0FqgqisLeEgfbDlaRV+pgVHocFpOKWfXVKR2VHkdeqW99TomjzXMZhkFeqQO3puP26rg1nbxSR5cGi4ZhhA62DaM+UMUXtErAKkRE61QaQFxcHGvXruXBBx/ku+++Izk5mXPPPZezzz672bbr1q3jrLPO4pxzzunMKcOuuLiYe+65h7feeov8/HyioqLIysrixBNP5N577+3p5gkh+jFd1/lqdwlF1U503UBR4GBlHcOSo1HVzg3UaitQBdiYX0FxtYuUGBvRTW71R1tNJMfYKK528UN+BUOSogBwe/Wg4M/t1amodfPy9/tZn1eOR9N9XZoKPPNNHlsKq7oslaBpsF1c7QJAQcWladRnArC/oo6RA+LCfn4hRHh0errVhIQEbr/99ja3u+KKK7jiiis6e7qwWr9+PaeeeiqlpaVMmDCBs846i6qqKrZu3cqDDz4owaoQoseU1bi58ZVNbD9YjcPlxTBAUWDj/kpyS2s5anhyp46/efPmVgNVAIfbi8ujExcV+qsixmaius6Lw+0N1JZ1eTRKalyBbe55bxs5pbWkxdnYXVQTCFQxYMeharT6wPbyudlhzx9tLdiubwIA2w5UMW9MeljPLYQIn04Hq71VcXEx8+fPp66ujjfeeIMzzzwzaP26det6rG1CiP5N13VufGUTP+6voKLOgwGoCuiA06NRpht8u7cMXdeBjvVIzpgxg6qqKj7//POQgSpAjNWMzaJS69JIsFuaHcPh0rBZVGKsDV8lqqIQ3ehxrVujotZNrdvLqLRY9pfX+lYoMCotltxSB3F2MzklDoanxXboubSkrWC7cRuFEJGr3wart912GyUlJTz22GPNAlXqexmEEKInfL6rhF1F1VTWeUiJtVFa31Op1s+i5vLqVNZ5+GpPKadM6FiFFUVROP744xk6dCijRo0K2as5NSORr/aUsLmgkoSo4GC11q1R5nAxcUgC0zISOX3KIAhRW3bykARq3F50nWa3+qOapBKEO1htK9j2a9rrKoSILJFbnboL1dXVsWrVKmJiYvj5z3/e080RQogg728+SJXTi91iwm4O/pg2qSomVcGjGXy49VC7j2nozXsPFUVh9OjRLd5+H54aw7iB8WSmxLCrqBq3puPVDdyazq6iajJTfOuzU2OwmU3YzCasZl/7/H9Or4bHaxBtCx0QxthMuDw6Dre33c+lvaZmJJIWZ6PU4WrWe9p4SNW4QfFhP3dv4PJquLxaIM/Y/+f26ri80tssIke/7Fn9/vvvqa6uZs6cOURFRbF69Wo+/PBDnE4no0eP5vzzz2fw4ME93UwhRA/wf0mHGijk8mrdUtS/yunBqxnYLKH7E1RFQdMNqp3tm2RF97g5+P37xA0ZQVLWxHa3Q1EULpmVCYDVpFJY4R/opTB2YHygzmpruaYxtobezVhr86+cUKkE4eIPtqud3kCwrSoKmqb7nh++POChiVFhP3dv0DjPuLTW92NBVTT+/v52bBYTdy2a1MMtFMKnXwarW7f63qDp6emcffbZvPHGG0Hrb7nlFp566ikuvPDCdh1vwoQJIZfv2bOHrKwsSkpKwtBqqKysDMtx+oruuh5Oj4bT6QTAqxsoGIHpVsvLStG0hh6hsrISdKe11WMAlJaWYLccXtDT+BhOr46mafhjhLKyEhRPXesH6GPauqbteX2EOsb9n+YD4PZqFFU3rLvzzY1YzSb+eEp22NrYEouiYVIMXB6NGLNCQ8xsgKGj6waq4tuupc+Xilo3muZF97g5sP4DXJUluKuKASgrGxXyddqSs8fFMSoRvt1bEpjB6rxJiUwYFIejqpzGhauaPufM2HjiLbCtrBabotG4SlRlTS1FlS7GDYghK84IPJeWrpthGGzfF/x8t+87REaM1mLAvGBUDA6HA7weCsrr0Aw9MMZLUXz/ragop8TkarZva/9+5ZVO9EZPprysFJtmP6xj+P+N/Fr6/GhNe19joc4V+FzTdOxm3/VTFRWP24WhqYf13RWOz7hIIt+3wcJxPTRNw2Tq2GuiXwar/ili33zzTUwmE4899hjnnXcetbW1PProo9x3330sXbqUcePGMXXq1J5urhCiB+gGeDUj6HF3OX5UEt/lVVFU7cZl0YPWeXXfDEx2i8q8kUmtHkf3uDm04UPcVQ1Bh8dRddjtURSFoYl2Yhvdyh+aaG/X6P1hiTZGpUVT4/ayt7QO3TACI/H3ltWRnRLFqLRoMpKaB3qNOT0ar2wsYl1eRdDyd7aUUFzjZfHU9JDBkd1i4uIjBrLlQDU/FFQHZrDS6tMi+vMMVjee4Os1d3o0PB/6eumtVivXHTesVweaou/pl8GqbwQteL1eli9fzjXXXBNYd++995KXl8fLL7/Mvffey3PPPdfm8bZs2RJyub/HNTU1NWxt74rj9XZdfT3q3Bp2exHU90AoCoGe1aTkFEymhrdRcnIqybHNe0YaHwMgJSX1sOtKBh3D48VkMgW+aJOTU9GdviCkv7w+2ntNW7seoY5x9/m+7QvLnXz56BeBdb9fOInBSfbDSgPo6L/7GcnJvLmlArdWQVmdB80wUPFVA9A1A6tZJTHayvyp2cS0MHDIXVJF0cZPcFeXoSgqCgbxGWNJG390i6/T1qg17g691lNT07jyxDRWrc0jKq+cgsqDUF+Ga/zgJGZkJjWrs9r0GMnJKTz3bT5bil3sqwxOfdhX6SGm2EXMLker5a8mRyWQEL0PAJfXi8OtAQqKAklJyaSmNh/c1dq/n8tUh9roXEnJKaQmNU8naO0Y7b2mrWnva6y1c9W5NaLs+wGw2+0MGpDeuc+nDn7GRaL+8nnaXp25Hh3tVaUzwernn3/e4ZMee+yxHd43HGJjGz6UQg2w+vnPf87LL7/MmjVrurllQoie5g9GrWY1KPCxmtVuyVcFUFWVexdPCdRZPVBZh14f4NktJhKjLBw1PLnFiQGcTicvvfAcrsriwLK4oWNIHjOzR3oSo6wmLp+bzcQhCXy2syhQa3Xp7CxmDU9us025pQ3F/bNSotlX3pDykpUSTV4Xlr8SQvS8Dger8+bN6/CHnqb17CjDzEzfrY/o6GjS0tKarc/KygKgqKio2TohhOgOybFW/t+SGbz700H+8NpPgRmsJg9JaHUGK//MVAcOFAaWxQ8bS+KoI3r0lreiKGQkR2M1NbQ7Izm6XW3atL8yUNy/6e1pu6Vry18JIXpeh4PVp59+utmyl156idWrV3PqqadyzDHHkJ6eTlFREV9++SUffPABCxcu5Lzzzutsmztt2rRpUF/CyuVyYbPZgtaXlZVBkx5YIYTobqqqMntEKulxvnxO3TAYmBDVZqDaeGaq+IxxJIw+EnQ95D69gcPV/pm0hBB9T4eD1aVLlwY9fumll/j0009Zs2YNc+fObbb9mjVrmD9/PsuWLevoKcMmIyODKVOmsGnTJtasWcMpp5wStN5/+98f1AoRSQzDoNrppdrpn9lIIbfUwbBoo18PFgmXSChd1REtBaopY49CMwy6cXxY2AWVvwpRr7Ury18JIXpe2CYFuOuuu7jwwgtDBqoAxx13HD/72c9Yvnx5uE7ZKb///e8BuOGGGzhw4EBg+caNG7n//vsBuOqqq3qsfUKE4tV0th+sZsehampcXmqcXqqdXp76Mofnvj+I0yOFvDvr9je3cvubW3noo504vXrg76GPdgbqUkYir9eLy9VQfmn6jCNIGXtUn/gBM2VoQqC4f9PXuNPjm0krLc7GtIzEHmujEKLrhC1Y3bFjB+np6a1uM2DAAHbs2BGuU3bKRRddxNKlS/npp58YP348p512GieccAKzZs2irKyMK664IiJSFoTwMwyDXUU1FFe7qKit71VVfUWAth+s4oeCKl7ZWBTUGyg6TlHArKqBv0iP+WJjY1m6dCmpqanMnDmTk06Z3ycCVYCslIaZtHJLa4PW5ZbWBs2kJYToe8J2zyQtLY13332X5cuXh8yn0jSN1atXhxzQ1FOefvppjjnmGJ544gk+++wzFEVh+vTpXHnllc3SHIToabmlDipq3dS4vCTYzVQ6vfhCEYVR6XHsPFhJrLVWRkR30u1njgegvMbDj/sbCmHfPH8cSbEtzy8fCeLi4rj88sux2WyUO9o3u1Vv0HgmLbdXC6oGMDwthplZyW3OpCWE6L3C1rO6bNkyfvrpJ+bPn89XX32F1+tLdPd6vXz55ZfMnz+fzZs3hywV1VMUReGKK67g+++/x+FwUFNTw9dffy2BqohIm/ZX4vTo2MwqZlPwWzfaaiIp2kKpw80P+RUtHkO0rfEc94qiBP66s3RVe3jdLioqmv9b2+3tK9bf2/jLXy2ePjRo+eLpQ7l8bna7anrqut7oD3TdQNeN+nSavhPcC9HXhK1n9dZbb2XXrl28+OKLfPzxxyiKQkJCApWVlRiGgWEYXHjhhdx6663hOqUQ/YrD5UXTDSym0L8xo60qNS5NRkT3A163i81r3mLV/gSuuPwyEhP7R66moigMTgwuvD84Mardwfn+Cl+PrGH4JljwPYDfvPgDFpPKx9cfF+4mCyHCIGw9q2azmeeff57333+fSy+9lClTppCcnMyUKVNYsmQJH3zwAc8991ynZjAQoj+LsZkxqQreFkoQ1bp1bCZFRkT3cf5AtbqsiIrKClasWIHD4ejpZvU6qtLw1/f6oYXoW8L+rXbyySdz8sknh/uwQvQIwzDIKakhp6QGj2agKpASayUxytrtt1qnDE3AblEpr/VgNQWfu9atUV7rYdyAGBkR3YdpHjfbvviEukYzU40ePZro6OgebVdvMbS+V1bTdTRNw6QqmExmVv78qIjPRxaiP+uyLpiysjIcDgfDhg3rqlMI0aXq3Bqr1uaxuaCS3JJaNN1AVaGoykVSjJVR6d07iCkrJYbEaCsezaDS6cGj6aiKgm4Y7CqqZliSjVFp0TIiuo/SPC4ObfiAZKMGU/2PlSOOOJIFCxb0yRzVruAf/GvU/xBVVQVVVYm1m4mzS7AqRKQKWxoAQGlpKddccw3p6emkpaWRnZ0dWPfdd9+xcOFC1q9fH85TCtElDMNg1do81uWWseVAFbrhyxXVdSivdVNc7WJXUU23lolSFIVR6bGkxdlIjLag4BsgoqAwdmA804bEs3hqugQufZDmcXFw/Ye4KksCywaPnMSp8yVQFUL0fWHrWT1w4ACzZ88mLy+PI444gvT0dLZt2xZYP3nyZNauXcvKlSuZMWNGuE4rRJfYW+Jg28Eq8kodjB0Yy7b/3959h0dV5m8Dv8/UVNJDKJKQ0ALSpUgRVKS5giDgCqyAywJ2RX+rr6KiLmtlV6yoK03priggRVwxNAWlQygCSYDQUiFtZjJznvePZIYMmfSTOTOZ+3NduWDOmZzznZPJzJ1nnnIxHwDgJzTwt2lw1WSFXis5TaHjDjqtBu1igpGZb4DJYnOsYDW1X0s0D7AyuDRAJpOpNKhe/+i/aauOiO/Wjz9vIvIJirWszpo1C+fOncPatWuxZ8+echPqG41GDBw4EFu3blXqlET15sDZXGTkmRERaETADQOWdFoNjDoNTMUyjl64WuEx6oskSQgu/dgyxN+AYD89YiMCGVwUJIRAalYB8kzFuFpkQZ6pGKlZBW5fcMFkMmHV8qVOQTWmVQcGVSLyKYqF1Q0bNmD06NH405/+VOF94uLicP78eaVOSVRvCixWmItlBLhYhxwoWdnIJgsUWty/vKkQAnml80KqGaQaqiKLDf/ZnoIvdqQgz+S8pO1/tqegyE0/c1mW8dVXX+HixQuObY1uaoe4LgyqRORbFOsGkJOT49RH1RWbzQaLxaLUKYnqTaBBB6Neg0KzDREuxitZZRlajYSAakxEriSrTcYfV/KRVWBGvtkKIUpaWr/YkYLW4XqM6VL5ksdUOSEElu4+iz2p2TiTkQ+gZBCOECVL2lpsJdOGTe3fst4Do0ajQY8ePXAq5SwAoFGLRIS17emxQdVsLQnxFqsMm3z9DyeLVYZGA49aUIGIvItiYbV58+ZITk6u9D579+5FfHy8UqckqjddWoRi5+lMHEm/iogbprSx2mSYrTLCAvTo0DQEwDm31CSEwB9X8pGRZ8Y1U3FJf9UyQSq/qKTOJ2M4yKq2UrOu91VuHR2MjDxz6Z6SJW3PZOYj2E/ntiVtO3fujKuFxdh05SeEt+0JT247n7225PXfJsvYm3Z9Za05G5Kh1WjwxuiOKlZHRN5MsW4AI0eOxMaNG7FlyxaX+5ctW4Zdu3bhvvvuU+qURPUmPjIQiTGNEBsRiOOX8pFnKkaRxYY8kxW5RcUIMuoQGmDATWH+1TiaMlKzCpBbaEG+2YoQPx30Wg10Ggl6rQato4NxLseMPzIKkZLJCeJr6+D5q2X6Kju3BAYYtAgPNCIjz+zWJW1v7tgJEe16ec0fIJIkoVmon+PLW+omIs+lWMvqrFmzsHbtWgwfPhxjx45FVlYWAOCNN97A7t27sW7dOrRp0wbPPPOMUqckqjeSJGFi71gAQIBei90p2SXzmmqAsACDY55Vd74RHzx/FaZiGUadBrobllwNMGgRFqBHVoEF+8/muqXVryEqMJf0VQ72d/3SGGjUIq/IWi9L2ppMJuzfvx+9e/f2yoA3e0R7tUsgogZKsbAaFhaGHTt24LHHHsOqVasgly4J+eKLL0KSJIwYMQKffvopgoODlTolUb3yN2gxtX9LHLuYh8t5JscKVpFBBgQZ9ZAkCRar7DSwyWKVYbba6qV/XoHZCptcMt+rKwEGDfLNtnoJUr4i0Hi9r3KIi0niC8w2GPUaxZe0NZlM+PLLL5Geno6cnBxFJ/oXQqDYJsNUOjBMpy2Z6SAsUK9oKGafVCKqL4q+4jZu3BirV69GRkYGfv/9d+Tk5CA4OBi33HILmjRpouSpiNxCkiS0jAxEy8iSlkqrTYYkwdEn770fTyIz3+y4/9ubj8Oo19ZL/7xAow5ajQSrLMOA8sGg0CLDqJUUD1K+pHPzEPyWmo0j6VcR4u8cVgstNmQXmHFzsxBFl7QtG1QBYM+ePYiLi0P79nVvqZSFwLWiYpiKbbDJcum8vAJf7EhBl5tCMbF3LPzdPEiQiKimFHtXO3v2LEJDQ9GoUSNERUVh2LBh5e6Tl5eHnJwctGjRQqnTEqlKFgLFNuF0u750bh4CP70GOYXFMGidW8QKLTbkFBYjsXGgokHK18RFlPRVzjNZ8ceVPFhuWNI2PioIiTGNFFvS9sagCgA9e/ZEYmJinY8tSoNqUbENxVYZGqlkQB7g/pkNiIjqQrEBVi1btsS8efMqvc/7779f5fRWRN6ge2wYuseG4ZGBraDTwPH15J1t6q3vXlxEIEIDDAgy6nDVZEWxTYZVFrDYZPxxJQ83hRnROipAsSDli+x9lXvGhaNdTCNIkJyWtO0ZF46JvWMVCXcVBVWlugCkZRfCbJVRbJOh12mg10rQlhmQl1Y68wEH5BGRp1OsZVUIUeWk5LIs8y94ahC0mpLnsUGncXpOG3Saeuu7J0kSWkeXdEfQaIDMPHNJkJJKgpR9nlX+jtWNva/ygbO5+C01G7IQjiVtu7QI9YqgCgBH0q/CJgvoNBI0kgSUeX2+cWYDDsgjIk/m1s5thw8fRkhIiDtPSdSg6LQatIsJRma+ASaLrbQPYkmQah5gZVBViCRJiI0IRHCZQVZKLWnrjqAKAAUWG4QQpR/9l1efMxsQESmpTmH1jjvucLq9aNEi/Pzzz+XuJ8sy0tPTcebMGYwcObIupyTyeZIkIdhPh2C/66O5YyMCIZuuqV0aVcFkMuHrlcvqPagCQKBBC0kqWTQCLo5dXzMbEBEprU6vUmWDqSRJSE1NRWpqarn7SZKE8PBwjB49usp+rUREDdW2pJ/dElQB4OZmIdBqJJitMiRJOA1QqK+ZDYiI6kOdwqp9LlWUrmM9e/ZsvPzyy0rURUTU4Nx+x53Izc5ESkpKvQZVAIgND4BRpymZscIxGwBgRf3MbFDf8kzFAIDCG7otFFqsyDMVO3XZIKKGRbHPf7Zu3Yq4uDilDkdE1ODo9XqMHz8e+/fvR48ePeq1j7EkSWhUOlesBMAmy6WDxTRoF9PIMc+qt/RzvvejXQAAU7FzWH3+m8Pw0+vwv2cGqFQZEdU3xcJqz549kZGRAYvFAoPBUG6/2WzG5cuXER0dDT8/P6VOS0TkVfR6PXr27OmWc2kkCSH+ehj1GphKWyR1Wq2iMxu42401e+NjIKKaUWye1VdeeQWJiYkoLCx0ub+oqAjt27fHa6+9ptQpiYg8lslkwtKvvsS1rEuq1iFJJXOrBhm0aFQ6ME+pmQ3c6dtH++DbR/vgowe6QSvB8fXRA93w7aN91C6PiOqRYmF1w4YNGDx4MEJDXXfWDw0NxZAhQ7B+/XqlTklE5JHs01OlpJzB0aT1qgfWhiDYT49gPz2C/HTQaCTHV1BpACeihkuxsJqamoo2bdpUep9WrVohLS1NqVMSEXmcG+dRtRZbkH2+/CwpRERUPYr1WdXpdBV2AbArLCx0mkGAiKghcTXhf9NWHRHbqZeqdVHDY7baAAAWqwybfH11MotVhkaDeltJj0gNioXVjh07Yu3atXjnnXdcDqAymUz47rvv0LFjR6VOSUTkMVwF1Vtu6QGb1XtG3JP3mL02GSid5WFvWq5j+5wNydBqNHhjNN9rqeFQrBvAjBkzcO7cOQwbNgxHjx512nfkyBEMGzYM6enpmDFjhlKnJCLyCBUtoTpkaP3No+przFYbzFYbLFYZQgjHl8UqO1oZvYWSj0WSJDQL9XN88flGDZFiLasTJkzAtm3b8Pnnn6NTp06IiopC06ZNceHCBWRkZEAIgalTp+LBBx9U6pRERKqrKKgOGzYMpmLv6PZUVUDyhI+U7S2J14qKUeZTb3y49RQa+eu9qiXR/ljMxTZk5psd29/efBxGvbZaj2X2iPb1WiORJ1F0UehPP/0UQ4YMwWeffYa9e/fiyJEjCAkJweDBgzFt2jSMGjVKydMREamqsqDqTS1c9vBUEU8KghrJeW5Vjfdc5nI0koQAg87pdnV5wh8QRO6iaFgFgNGjR2P06NFKH5aIyONkZmbiypUrjtveGFTLkoXAxdwix+0mof41ClD1yd6SeCHHhJ9PXL/mM+9qi6Zh3rXQjP2xmCwy5mw45tj+4vBE+BkU651H1GAoHlaJiHxF8+bNMWHCBCxduhRdu3b12qBaUXh6YZjnhCd7S6JBp3G6xgadxutaGe31yjKg1Xj3YyFyh1qH1W3btgGlLQl+fn6O29Vx22231fa0REQeJS4uDjNmzEB4eLhXBlU08PBUdoonIUo6u14f1KRycURULbUOqwMHDoQkSTh27BjatGnjuF0ZIQQkSYLN5l0jN4mIUNpHVafTQadzfumMiIhQrSZf4Sp02m+brbYKQ7WrwUyyAISQIUkSGjfi6ldEnq7WYXXBggWQJAlNmjQBACxcuFDJuoiIPIrJZMJ/16xEYGAgxo0bVy6wUsVqGzTLsofOQrMVJuv1WRbe+/EkAoy6KgeBlR3MJAuBQjObVYm8Ra1fbSdPnux0e9KkSUrUQ0TkcWzFZqxavhS5WZcBAKtWrcL9998Prda7PyJ3l7oGzbIkCdBpNE63Kz13mf64r623t7JaceBsNjQSnOY39fYuD0QNFZsGiIgqYSs249LeLbjY2g/+hpIwExYWBo3GMwYeeZOaBs2y7KEzJ78Yh85fdWx/fmgiwoIq/ii/bH/cA+dKVnqyyTJyi2yABGgkuUbzmxKR+9U6rJ49e7bWJ23RokWtv5eIyF3sQdV8NQPATQCAXr16YejQoV47mEoNtQ2aZV2fDcBW59kAJAnwN2ggQYJGo/GY6bmIyLVah9W4uLhav1hzgBUReTqTyVQmqJZgUK0dJYNmXXSPDQMAWG0yzGYTtBoN/Pz8OL8pkYerdVh9+eWXy71g79q1C1u2bEG7du3Qp08fREdH48qVK9i5cydOnDiBwYMH49Zbb1WibiKiemMymbBq+VKnoNr9lh4Mql7OPi2XEBK0mutfDWGKLqKGrNZhdfbs2U63f/rpJ7zxxhtYsmQJJk6cWO7+S5YswfTp0/Hcc8/V9pRERPXOvoTqxYsXHNtCWrTHnXcN8YqgynlFqSwlZmIgUptiA6xmzZqFUaNGuQyqAPDggw9iw4YNmDVrFnbu3KnUaYmIFGM2m7F6xVKkp6c7toW0aI/wdj29IqiiknlFIWSA84r6HFfPBwAcVEZeRbFOOgcPHkR8fHyl94mPj8fBgweVOiURUa0JIZCSmY+UzHycvJyHlMx8pF8rRlRUtOM+3hZUy7LPK1rypQXgfY+BlOP8fNBxUBl5FcVaVhs1alTlkqvbtm1DUFCQUqckIqqVIosNX/2ahiPpV5GaWQibLKDVSPhs2xl0aHYzOnQCBCT8dqaR1wXVF4a3A0rnFRWbjpf8v9iKQ2ezazRVFDUMZeeZnbPhmGM7B5WRN1HsmTp27Fjs2rULDz30ULlprc6ePYspU6bgl19+wf3336/UKYmIakwIga9+TcOe1GwcvXgNshDQazWQhcDRi9fwW2oOciJvxh2DBntdUAWAf244jn9uOI53fjiOA+dyceBcLo5euIacIhuyi2o+E4vZaoPZanP0ebR/2fs8kmcz6rQw6rQw6DQcVEZeS7GW1X/+85/Yv38/Fi1ahC+//BJNmjRBVFQUMjIycPHiRdhsNvTr1w///Oc/lTolEVGNnckswLFL15CWVYDWkQE4fPYKjIYgAFq0iwnCycv5CPbT4VxOkdql1okkSWjSyAgAKJZlZOSZAFHzFZvY55GI1KZYWA0KCkJSUhK++OILLF26FIcPH8bFixfRqFEj9OvXDxMmTMBDDz3EVV+ISFUHzuYiI8+MMH8d0s+eQc7FbIQ2bga/wBAEGHQIDzQiI8+Mw+lXq3E0z2P/2BcAXv72CADAbJVxtPTxZOabaxU07X0ey94mInIHRZdb1Wg0+Nvf/oa//e1vSh6WiEgxBRYrisxWXM28CGEqAIRA7uV0RDQzAAhFoFGLvCIrCize+RF32dZSe+OATgNH0Kzpik3s80hEalM0rBIReTqDJJCVcQlFJguCSjNbQKMw6I1+AIACsw1GvQaBBu/vz1c2aL70TclH+DVdsckefmX5+qT6qOHqU5zrk4jqQtE/iy0WC95++2306NEDjRo1gk53PQsfPHgQjzzyCE6cOKHkKYmIqs1kMiF171ZozPkwQQ+r0CAgJByNImMASCi0WJFdYEZUsBEdm4WoXW6decrgmtlrkzF7bTLe3nwcmflmx9fbm487+sQSEVVEsbB67do19OnTB88//zzOnTuHRo0aOf0FHR8fjyVLlmDhwoVKnVJRWVlZiI6OhiRJaNWqldrlEJHC7CtTFV05izBNIYIlM0x+kZCCIlFkkZFnKsbxS/mIjQhEYkwjtAgPULvkBodzfRJRbSgWVmfPno19+/bh/fffx8WLFzF16lSn/cHBwRg4cCB++OEHpU6pqGeeeQaZmZlql0FE9cAeVNPT0yFJQDttBnrGhaNXm2bQSBKKbTI0koQOTRqhZ1w4JvaO9cppqzzV7BHtMXtEe7z0p/a4rU2U4+ulP7V3GhBGROSKYn1W//vf/2LYsGF47LHHgNJpU24UHx+P3bt3K3VKxfzvf//D4sWLMW3aNHz22Wdql0NECiobVO369u6BIUOG4PilfFzOM6HYJqDXSpg+IAGJTYIhSRKKvHSAlSdSot+rtynbT9cmO/fT1WjQYB83UX1QLKxevnwZf/7znyu9j16vR35+vlKnVERRURGmT5+O9u3b49lnn2VYJWpgvv32W6eg2qtXLwwdOhSSJKFlZCBaRl5fVa9lZCBbVEkR9r64NlnG3rRcx/Y5G5Kh1Wg4Py1RDSgWVqOjo5GamlrpfY4cOYKbbrpJqVMq4tVXX8WZM2eQlJQEvV6vdjlEpLBBgwYhPT0deXl5TkGVyB0kSUKzUD+n20RUM4qF1SFDhuDLL7/E4cOH0bFj+b8Yk5KS8OOPP+LJJ59U6pR1dujQIcydOxdTpkxB//79qwzbROR9IiMjMWnSJBw+fBgDBw5kWCC3YF9cIuUoFlZfeeUVfPfdd+jTpw8ef/xxnDp1CgCwYsUK/Prrr5g/fz4aN26M559/XqlT1oksy5g6dSpCQ0Px9ttv1+lYHTp0cLn99OnTiIuLU2zg1tWr3rmiTn1x1/UwFdtgMpkAAFZZQIKAtnSy9ZycbMhlZr3Iyc6C0eZX6TEAICsrE376mvVZK3sMk1WGzWaDPXdlZ2dCKvbu5UFrqqpreuPzo2PHjsjKyqr2MXILLbDZrI592dmZkE0GRWusjrJ1yELAbDZB2LQ1Op6p2AaLxVJlHZXVq/RzuLZ11PbncuPvcbGl2NF/tjZ15Fw1Vet3vyJ5Cl3T6qrqZ1ud50dtj++N+H7rTInrYbPZoNXW7jmhWFht3rw5kpKS8OCDD+LNN990bJ8wYQKEEOjSpQuWLVuG6OhopU5ZJx988AF+++03LFy4EBEREWqXQ0QKMJlM2Lp1KwYMGKB2KeSB7AOdbLKAXOb/FmvJbBAGHVfkIvJEiq5glZiYiN9++w179+7Fnj17kJOTg+DgYPTo0QO9e/dW8lR1cvbsWcyaNQsDBgzA5MmT63y8o0ePutxub3GNjIys8znKUvp43q6+r0eRxQY/vysAAKtNhiTB0bIaFhbuNFdkWHgEIsP8Kz0GAERERMK/hiskOR2j2AqtVuv4SDs8PBKy6RrgQ8+PG69pYGAQvl65DOnp6SgoKMDw4cMREBBQ6fWo6OcihMDZglwUFgvIQkAjSbgm/JEQEVqjbgRK/Nw1+RZotSUv1ZIQMBr9YCxtsaru8YosNhgMZ4HSFawq+r7K6lX8OVzJMSq7X9nrgdLnfnhQ1S2rRRYbjl4+DgAQQjg+mdBqbZi/+4rLQU+V1WHWFlXrd7+qmup6TZU4V3WfH7U9vjfzldfT6qrL9ahtqyqUDKt33HEH+vfvj1dffRXdu3dH9+7dlTq04h599FFYLBbMnz9f7VKISAFWixnLln6FjMsXAQCXLl3C4cOH0atXrxofq8hiw1e/puHAuVzkmawQQkCSJHyxIwVdbgrFxN6xDeJN2Nc1DjZAo5Fg0OvZj5nIwykWVn/77bdavTGoYf369QgNDcWMGTOcttv726Snp2PgwIFAaZ/bmJgYVeokoqpZLWYcSVoHQ6SAXlvS4t2zZ0/06NGjxscSQmDp7rPYk5qNMxn5AAQ0GglCCBy/dA0WmwwAmNq/JQOOF+oeG+b4/4xeUfDTaxERyW5gRJ5OsbDapUsXHD9+XKnD1bvc3FwkJSW53GcymRz7ynYYJyLPYg+qedlXgMgooDSoDhs2rNxgqupIzSrAsUvXkJZVgNbRwcjIM5fukdA6OhhnMvMR7KdDSmYB4qOCqjgaeZobFyRoyIsSEDUkivUmf/XVV7FhwwZ88803Sh2y3gghXH6lpKQAABISEhzb4uLi1C6XiFwwmUzXg2ope1CtbavnwfNXkZFnRkSgEQE3fNQfYNAiPNCIjDwz9p/NrfAYRESkLMVaVnfs2IH+/ftj7Nix6NmzJ7p164bo6OhybxqSJOGll15S6rRE5INMJhOWLf3KKajeckuPOgVVACgwW2EulhHs7/qlMdCoRV6RFQUWq8v9ZQkhkJKZj5TMfMdyrimZ+Uhs0ohdCIiIakCxsDp79mzH/3fv3o3du3e7vB/DKhHVhclkwpdffokLF64vodq0VUcMGVq3oAoAgUYdjHoNCs02hPiVX9GuwGyDUa9BoKHyl077IK0j6VeRmlkImyyg1Uj4NOkMbm4WwkFaREQ1oFhY3bp1q1KHIiKq0LFjx5Ce7hxU47v1U6S1snPzEPyWmo0j6VcR4u8cVgstNmQXmHFzsxB0bRFa4TGEEPjq1zTsSc1GSmYBZFEy8Msqyzh68RoKi20AB2kREVWbYmG1IUzCHRcXB1FmRRIi8jxdu3ZFfn4+Nv2wRdGgCgBxEYFIjGmEPJMVf1zJg8VWMlm8LAT+uJKH+KggJMY0QsvIwAqPcSbz+iCtdjFBOHYxv3SPFu1ignDyMgdpERHVRJ3DalZWFj744APs3bsXkiShR48eePTRRxEeHq5MhUREN+jfvz/CIxvjy2SToq2TkiRh7C3NYZVl6DQSLuQWQZYFJAlo0zgYnZqXfIRf2TkPnM0tM0jL+SU2wKBzGqTFsEpEVLU6hdXLly+jZ8+eOH/+vKNF8vvvv8fChQuxe/duREVFKVUnkdfiQJu6qWg96fiEBEjHkhU/31ubTkAIAatNhv1zFlG6ellaVmGVfU0LLMoN0iIiojpOXfX666/j3LlzGDRoEFauXImVK1di0KBBSE1NxZw5c5SrkshLFVls+M/2FHyadAapmYU4m1WI1MxCfJp0Bv/ZnoIii03tEj2ayWTCggULsHPnTreeV5IkhPgbEOpvQGhAyb8h/oZq/XERaLg+SMuV6g7SIiKiEnV6tdy0aRMSExOxceNGaErXSr/vvvvQqVMnbNiwAe+9955SdRJ5HQ60qRv7qP/09HTHgKq+ffvW+3lnj2hfcn6LjDkbjjm2vzg8EX6Gqv++79IiFDtPZ+JI+lVEBN04SMtarUFaRER0XZ1aVs+fP4/Bgwc7gioAaDQa3HXXXTh37pwS9RF5rRsH2gT76eFv0CLYT492MUFIK10tKSWzQO1SPU7ZoGp39epVtwyANOq0MOq0MOg00Gokx1d1VzuKjywZpBUbEYjjl/KRZypGkcWGPFMxjl/KR2zpIK7KBmkREdF1dWpZtVgsCAsLK7c9NDQUFoulLocm8nocaFM7roJqXVemcidJkjCxdywAIECvxe6UbBTbZGg1Ejo0aeSYZ9UbHgsRkSdgpymiesKBNjXn7UHVzt+gxdT+LXHsYh4u55kcA+umD0hAYpNgr3osRERqq3NY/frrr3H8+HGnbUeOHAEAjB8/vtz9JUnC0qVL63paIo9XdqBNhItPfDnQxllDCap2kiShZWQgWkZebzVvGRnolY+FiEhNdX6XPHLkiCOc3mjFihXltjGskq/gQJvqa2hBlYiIlFOnsJqSkqJcJUQNjH2gTZ7J6hhoo9OUzAZw/FI+WkZyoA0YVImIqAp1CquxsbHKVULUwHCgTfXIsgyr9Xq/XQZVIiIqi53liOoRB9pULSAgAJMmTcLixYsRGxvLoEpERE4YVonqGQfaVC0gIAAPPfQQDIbqrRJFRES+o06LAhAR1ZTJZEJ2dna57UajkUGViIjKYVgl8iI2WTi+hLj+ZbHKsFhltcurkn0w1cKFC5GVlaV2OR7NbLXBbLXBYpWdftb2nz8Rka9gNwAiL7I3LQcAYJNlZBVYYG+HfHvzcQhbMV4c3FLV+ipz46j/RYsWYfr06QgK4updrsxemwwAMBfbkJlvBgAIAAfP50Kr0aBny3CVKyQicg+GVSIvJElAoEELlMZVjSTBpnZRlXA1PVViYiICA3172q7q0EiSY7leAcGuEkTkcxhWibxI99gwAIDVJkOSAK2mpCfPi8MTUXAtR+XqXOM8qrUze0R7AIDJImPOhmOAi587EZEvYFgl8iJaTUm4E0IqDS0ltw06DYp1nhdgGFRrz6jTAgBkueKfOxGRL/C8dzciahAYVImISAkMq0SkOAZVIiJSCsMqESlKCIGlS5cyqBIRkSIYVolIUZIkoXfv3tCUDgJiUCUiorrgACsiUlyHDh0AAOfOncOQIUMYVFVitpZMaGaxyo6FBGxyySISGs31QVxEteXqOWa/zecYKYVhlYjqRYcOHRyhldRhX1jAJss4dCEPAKDVFmHOhmRoNRq8MbqjyhWStyv7HNubluvYzucYKYlhlYjqxGQy4ffff0ffvn3ZguqhJElCTCMjAMCg1/PnRIqTJAnNQv2cbhMphWGViGqt7Kj/7Oxs3HPPPXyT8iD2hQUAICszCwAQERmhYkXU0JR9jhHVF4ZVIqqVG6en2rdvH+Lj43HzzTerXVqDULYvoMUqA04rWJUsDFBVv8Cy2w2li0b4Wh/CSvtU8g+rOvO15xOpg2GViGqsonlU2UdVOWX7Am5JvgQAsEctCUBUsB/7BVZDRX0q3zMVQavR4N/jo1Wsjoiqg2GViGqEE/67lyRJCDCUf6luFurX4K53fY4sv7FPJVtVibwHwyoRVRuDqvuU7Qto7wZQlv1j/YakPkaWV9Sn0t6Hl4g8H8MqEVULg6p7lW1F9LV+gUqOLK/o2jXEsE/UUDGsElGVGFTJHTiynIhcYVgloipt27aNQZXqna+1IBNR9fBzECKq0h133IHWrVsDDKrk48xWG8xWGyxWGUIIx5fFKjsGiBGRstiySkRV0ul0uP/++3HgwAF0796dQZV8ln0QWKHZClOZgW/v/XgSAUYdpxEjqgdsWSWqJSEEzmUXwmIrmbTdYpORllUAIUQ1vtuzuXoMOp0Ot9xyC4MqEQBJAnQajeOLvxZE9Yctq0S1YLXJ+ONKPrIKLCi2ySWztUvAkl/ScPTCNUzsHQt/g3f2vzOZTFi5ciUGDhyI2NhYtcshcrvK5nt9YXg7GHQa5OQX49D5q459zw9NRFiQXpV6iRo6hlWiGhJC4I8rBcjIMyO30OIIqhDAict5sJW2Sk7t39LrWiHLjvpPT0/HhAkTGFjJ51RnvleDzub0+23QaThAjKiesBsAUQ3lma3ILbQg32xFfFQQNBoJGkmCRiOhdVQQ0rIKcOzSNaRkFqhdao3cOD2VxWLByZMn1S6L3EQIgZTMfKRk5uPk5TzH/xtCt5bass/3av/ytj8+iRoKtqwS1VB2vgWmYhlGnQb+eueWFH+DFuGBRmTkmbH/bC7io4JUq7MmKppHddCgQarWRe5RZLHhq1/TcCT9KlIzC2GTBbQaCZ8mncHNzUIwsbdvta5zvlciz8KwSlRDxbKATRbQa11/MBFo1CKvyIoCi9XttdUGJ/z3bUIIfPVrGvakZiMlswCyKHluW2UZRy9eQ2FxSf/NCb1aqF2q2/DjfCLPwrBKVEN6jQStRoJVLr9eOwAUmG0w6jUINHj+rxeDKp3JLOm2kpZVgHYxQTh2Mb90jxbtYoJw8nI+gv10SM0qVLlSIvJV7LNKVEPhQQb46TUwW2UUFTtPAl5ksSG7wIyoYCO6tghVrcbqYFAlADhwNhcZeWZEBBoRcMMfWAEGnaNby8HzuRUeg4ioPjGsEtVQsFGH0AADgow6nMnIhywLyEJAlgX+yMhHbEQgEmMaoWVkoNqlVohBlewKLFaYi2UEGF1/9B1o1MJcLKPA7B3dWoio4WFYJaohSZLQOjoIUcFGtG4c7Ji2ChLQtnEwesaFY2LvWI8OfTk5OcjMzHTcZlD1XYEGHYx6DQrNrpcKdXRrMXp+txYiapgYVolqQafVoF1MMCb0agG9VuP4mtQnDlP7t/T4BQGaNGmCv/zlLzAajQyqPq5Li1BEBRuRVWBG4Q2DAgstVke3ls7NPbtbCxE1XPxTmaiWJEnCTWEBMJSZFaBFeIDXhL7mzZtjxowZCA0N9ZqaSXnxkSXdVvJMVhy/lI88UzF0mpLZAI5fykfL0v1xEQFql0pEPophlcgHmEwmaLVa6PXOy0GGhYWpVhN5BkmSHPOoBui12J2SjWKbDK1GQocmjXxynlUi8iwMq0QNnH0wldFoxAMPPFAusBL5G7SY2r8ljl3Mw+U8E4ptAnqthOkDEpDYJBiSJKHI4rpPKxFRfWOfVaIGrOyo/zNnzmD58uWwWjmq22y1wWy1wWKVYStd5MEmC1isMsxW3wxlkiShZWQgWkYGoU3jYLSMDELLyEB2ESEi1flky2phYSF++OEHrFu3Djt27EBaWhq0Wi1atWqF++67DzNnzkRQkHcsk0lUEVfTU0VGRkKr9ezBX+4we20yAMAmy9ibdn3+0DkbkqHVaPDG6I4qVkdERGX5ZMvqsmXLMGrUKCxYsABarRYjRoxA//79kZKSgldeeQU9evTAlStX1C6TPFjZljghhOPLU1rmOI9q9UiShGahfo4vXhsiIs/jky2rer0e06ZNw1NPPYXExETH9osXL+Luu+/G/v378dRTT2HZsmWq1kmea29aDgCgwGyFyXp92dX3fjyJAKNO1ZY5BtWqzR7RXu0SiIiomnwyrE6aNAmTJk0qt71Jkyb46KOP0KdPH3zzzTewWCwwGAyq1EjeQSMBOs31DyjUzoImkwlr1qxhUK2CUceuEERE3sInw2plOnfuDAAwm83IyspCkyZN1C6JPFD32JIpnx4ekICjF645tj8/NBFhQeqMtjeZTFi9ejWuXr3q2MagSkRE3s4n+6xW5syZM0BpV4Hw8HC1yyEPpdVI0GokGHQaSJLk+DLoNKq02lksFqxevRoXL150bGNQJSKihoAtqzeYN28eAGDo0KEwGo3V+p4OHTq43H769GnExcU5rcFeF2VbzMh918NUbIPJZAIAWGUBCQLa0o/+c7KzYLNdnwoqOzsTsql815GyxwCArKxM+OlrFmorq+PatasIDg5GSkoKAKBr167o0aMHsrKyavWYvUFV17Suzw+lf2a1PYZSqnM9KqvXU65HbqGlWr9zVanr80OJOtz5/KjqZ2uxWNxSh7fg+60zJa6HzWar9Ww0DKtlbNiwAV988QX0ej1ef/11tcshqjZJkjBw4EAAQGBgIAYNGsQWVSIiahAYVksdP34cEydOhBAC77zzjqPvanUcPXrU5XZ7i2tkZKRiddbH8bxdfV+PIosNfn4lU5lZbTIkCY4WzbDwCGi113+NwsMjER5UvnWl7DEAICIiEv6Gmv2FWVkdERGRKNBrMXLkSERGRvpEUK3uNa3t80Ppn1ltj6G0yq6Hq3rt4wf1Fhl6w2XHvuCQcPgZatbtRYnrocm3VOt3rrpq+/xQog53Pj8qO1eRxQaD4SwAwM/PzyOep56C77fO6nI96jLHN8MqgPT0dAwdOhQ5OTmYOXMmnnzySbVLIqqU1WJGXtYlRDVv6bTd3neWSClcQIGI1ObzYTU7OxuDBw9GWloapkyZgnfffVftkogqZbWYkbxtPfJzMyB6DUJ0XBu1SyIfYF9Aoextd7IvtmFfiMPOvhAHpyMjarh8Oqzm5+dj2LBhSE5OxujRo/H555+zVYo8mtVixpGkdcjLvgJJAk7u+R/8g0MAcJJ7qh+esoCCvYXXXGxDZr7Zsf3tzcdh1GvZwkvUgPlsWDWbzRg5ciT27NmDIUOGYPny5VwznTyayWRyBFW7Jq1uRlB4tKp1UcPmaS2WGklCgEHndJuIGjafDKs2mw0PPPAAfvrpJ/Tv3x/ffPMNV6oij2YymbBs6VfOQbV1R8R37cdPA8gn2Ft4TRYZczYcc2x/cXgi/AycMpyoIfPJsPrhhx9izZo1QOnItkceecTl/d59912OBCTVmUwmfPnll7hw4foSqk1ad0TLLn0ZVMln2Ft4ZblkUQ47tRbiICL38cmwmpOT4/i/PbS6Mnv2bIZVUpU9qKanXw+qTVt3RItOfRhUiYjIJ/jkZyezZ8+GEKLKr7i4OLVLJR/mKqjGtOqI2M59IQvAJgvHl8Uqw2KVVa23oTBbbTBbbbBY5XLX2D4inYiI3McnW1aJvMHatWudgmqPHj3xy8kg5JzNdUzdY29dnbMhGcUWC14c3LLC41H1cF5RIiLP4pMtq0Te4K677kJISAgAoFevXhg8ZKjTR/9NQ/3RLNQPzUL92CWgHtjnFeU1JiJSF1tWiTxUWFgYJk+ejEOHDuG2226DqVhG99gwx/4bR0FnZWapVGnD4inzihIRUQmGVSIPFhYWhgEDBjhuVzYK2qDjByVK4MhyIiLPwnc3Ig9gMpmwZs0a5Ofnq10KERGRR2FYJVKZfdT/wYMHsXjxYgZWIiKiMhhWiVR04/RUGRkZOHDggNplEREReQyGVSKVuJpHtVevXujbt6+qdREREXkSDrAiUoHJZMLXK5eVC6pDhw7lFElERERlMKwSuZnVYsaypV8h4/JFxzYGVSIiItcYVoncyGox40jSOhgiBfTakl44DKpEREQVY59VIjexB9W87CuObQyqRERElWPLKpGbZF9MY1AlIo9httoAABarDJssAAA2WcBilaHRcIEM8hwMq0RuEh3bBsXmIpzZvxM9evRkUCUiVc1emwwAsMkyDl3IAwBotUWYsyEZWo0Gb4zuqHKFRCUYVokqUFGrQ0m+FE5Ln1ZXszadERgSgcFD7mJQJSKPIEkSYhoZAQAGvZ6vTeRxGFaJKlC21WFvWi4AQIiS0CpJEnq2DK/0+61WK3S68r9ioY2b882AiFQ3e0R7x/+zMrMAABGRESpWROQawypRFSRJQrNQPwCATQhcvGqq8nvsE/63bt0aAwcOdEOVREQ1U7ZPqkGnKbeNyFMwrBJVoGyrg53JImPOhmOVfl/Zlansk/736tO/3uokIiJqyBhWiSrgqoVBllFpX1WTyYT/rlnptDJVYWGho/sAkS9y1f/bfpujzomoKgyrRAqxFZuxavlS5GZddmzr2bMnhg0bBlOxXOvj8o2evJ2r/t8AvHLUednfx7J/hFqsMsxWW7V+H/k7TVQzDKtECrAVm3Fp7xZcbO0Hf0PJG409qNZ1MFVDeqNXAt/ovVfZ/t/229XlKT/3l749WlJPsQ0Zedf7r7+x8RiMei3eHtOpymPwd5qoZhhWierIHlTNVzMA3AQoGFTLqssbfUPCN3rv46r/d42P4SE/971pOQAAWQhYy3xgcij9KjQ1/J3k7zRR9TCsEtWCvWUnL78Ql/b+APPVTMf2rt27KxpUlXijb4j4Ru89lGz1VPvnfktsKABAFnCaGaRJiB+qO/Uyf6eJaoZhlagW9qblwFZsxt7Nq5GTccmx/TQaQ2eJxUgF30D5sbYzb3ij95SPrBsST/m5v3bvzXU+Bn/+RDXDsEpUJwJ6bcn8hEHN2yG+a3+28NUzb3ij95SPrBsST/m5e0odRL6EYZWoFrrHhgEAHp70DGbM/jeCIxqjZdd+mHV3e/gZNGqXRx5C7Y+siYgaAoZVolqwz7UaEhyIznfcC41OB0mSYNBp2PJCHvORNRG7pFBDwLBKVE0mkwmZ2VfLbdfq9arUQ56LAYA8BbukUEPAsEpUDfYlVDMys1EQ0wuBIRFql0REVG3skkLejGGVqAr2oJqeno5im4wjW9eiy+CxMAYEqV0aEVGl2CWFGgKGVaJKlA2qdpE3tYLBP1DVuoiIqoNdUqghYFglqkDZoGqVS5aq6dL1FlhssZAFACEcgxa01Z0NnIiIiGqEYZXIhRtbVH8+kYGmrTrCbGuBfWevD1J4e/NxHDx/FT1bhqtYLRERUcPFsEp0A1cf/Tdt1RHx3fpBAE6DFGq6FjgRERHVDMMqURmugmrPnj3x/F2DXY6eNVlkzNlwzM1VEhER+Q6GVaJSQggsW7asXFAdNmxYhdO8yDLYX5WIiKgecV1IolKSJKFv377QaktGz1YVVImIiKj+sWWVqIy2bdti3LhxSE1NxeDBrj/6JyIiIvdhWCW6Qdu2bdG2bVu1yyAiIiJ2AyBfZjKZkJSUBLl0DlUiIiLyPGxZJZ9UdtR/ZmYmRo0aBY2Gf7sRERF5Gr47k8+5cXqqw4cP4/Dhw2qXRURERC4wrJJPqWge1U6dOqlaFxEREbnGsEo+o6KgyumpiIiIPBfDKvkEBlUiIiLvxLBKDR6DKhERkfdiWKUGjUGViIjIuzGsUoO2c+dOBlUiIiIvxrBKDdrAgQORmJgIMKgSERF5JS4KQA2aVqvFmDFjcOjQIXTp0oVBlYiIyMswrFKDp9Vq0bVrV7XLICIiolrw6W4ARUVFePnll9GmTRv4+fmhadOmeOihh5z6OBIRERGRenw2rJpMJtxxxx14/fXXkZ+fj5EjR+Kmm27CwoUL0bVrV5w5c0btEomIiIh8ns+G1X/84x/49ddfceutt+LkyZNYuXIldu/ejblz5yIjIwMPPfSQ2iUSERER+TyfDKsWiwUffvghAOCjjz5CUFCQY9/MmTPRqVMnJCUlYe/evSpWSUTkHmarDWarDRarDJssHF8Wqwyz1aZ2eUTk43xygNXOnTtx9epVJCQkuBx4Yx89vm7dOnTv3l2VGomI3GX22mQAgE2WsTct17F9zoZkaDUavDG6o4rVEZGv88mwevDgQQBAt27dXO63bz906JBb6yIiUpMkSWgW6ud0m4hIbT4ZVs+ePQsAaN68ucv99u1paWnVOl6HDh1cbj99+jTi4uKQmZlZ61rLunr1qiLHaSg84XqYim0wmUyO21lZmfDTa2t9v7rwhOvhSXg9nFV2PR7v07jS71XqNcyT8PnhjNfDGa+HMyWuh81mg1Zbu/c9nwyr+fn5AICAgACX+wMDAwEAeXl5bq2LiEgNBp1PDl8gIi/hk2FVaUePHnW53d7iGhkZqej5lD6et1PzehRZbPDzu+K4HRERCX9D+b8cq3s/JfD54YzXwxmvhzNeD2e8Hs54PZzV5XrUtlUVvjobgH30f2Fhocv9BQUFAIDg4GC31kVEREREznwyrLZo0QIAcP78eZf77dtjY2PdWhcREREROfPJsNq5c2cAwL59+1zut2/v1KmTW+siIiIiImc+GVb79u2LkJAQnD59GgcOHCi3/+uvvwYA3HPPPSpUR0RERER2PhlWDQYDHnvsMQDAo48+6uijCgD/+te/cOjQIQwYMIALAhARERGpzGdnA5g1axZ+/PFH7Nq1C61bt0b//v2RlpaG3bt3IyoqCgsWLFC7RCIiIiKf55MtqwDg5+eHrVu34qWXXkJAQAC+/fZbpKWlYfLkydi3bx/i4+PVLpE8GNdSJyIicg+fbVkFAH9/f7z22mt47bXX1C6FvAzXUiciInIPnw6rRHXFtdSJiIjqF8MqUS3MHtFe7RKIiIh8AsMqUS0YdfWzVCoRERE589kBVkRERETk+RhWiYiIiMhjMawSERERkcdiWCUiIiIij8WwSkREREQei2GViIiIiDwWwyoREREReSyGVSIiIiLyWAyrREREROSxGFaJiIiIyGMxrBIRERGRx2JYJSIiIiKPxbBKRERERB6LYZWIiIiIPBbDKhERERF5LIZVIiIiIvJYDKtERERE5LEYVomIiIjIYzGsEhEREZHHYlglIiIiIo/FsEpEREREHothlYiIiIg8FsMqEREREXkshlUiIiIi8lgMq0RERETksRhWiYiIiMhjMawSERERkcdiWCUiIiIij8WwSkREREQei2GViIiIiDwWwyoREREReSyGVSIiIiLyWAyrREREROSxGFaJiIiIyGMxrBIRERGRx9KpXQBRQ2a22gAAFqsMmywc2y1WGRoNYNRpVayOiIjI8zGsEtWj2WuTAQA2WcbetFzH9jkbkqHVaPDG6I4qVkdEROT5GFaJ3ECSJDQL9XO6TURERFVjWCWqR7NHtFe7BCIiIq/GsEpUj9gnlYiIqG44GwAREREReSyGVSIiIiLyWAyrREREROSxGFaJiIiIyGMxrBIRERGRx2JYJSIiIiKPxbBKRERERB6LYZWIiIiIPJZPhtXjx4/jrbfewu23347IyEjo9XrExMRg9OjR2L59u9rlEREREVEpn1zBatCgQUhPT0dQUBB69+6N8PBwJCcnY82aNfj222/xr3/9C0899ZTaZRIRERH5PJ9sWW3Xrh2WLFmCjIwMbNmyBStXrsThw4cxf/58CCHw7LPPIjk5We0yiYiIiHyeT4bVH3/8EX/5y1/g5+fntH369OkYPHgwbDYbVq9erVp9RERERFTCJ8NqZTp37gwAuHDhgtqlEBEREfk8htUbnDlzBgAQExOjdilEREREPs8nB1hV5PTp01i/fj0AYMSIEdX+vg4dOlR4vLi4OGRmZipS39WrVxU5TkPB6+GM18MZr4czXg9nvB7OeD2c8Xo4U+J62Gw2aLXaWn0vW1ZLWa1WTJ48GWazGffffz+6d++udklEREREPs8rW1ZHjRqFY8eO1eh7lixZgp49e1a4/4knnsCOHTsQHx+Pjz/+uEbHPnr0qMvt9hbXyMjIGh2vKkofz9vxejjj9XDG6+GM18MZr4czXg9nvB7O6nI9atuqCm8NqykpKThx4kSNvqewsLDCfXPmzMEnn3yCxo0bY/PmzQgPD1egSiIiIiKqK68MqwcOHFDsWPPnz8esWbMQEhKCTZs2oVWrVoodm4iIiIjqxqf7rK5YsQKPPvooAgIC8P3336NLly5ql0REREREZfhsWN2wYQMefPBB6HQ6rFmzBn379lW7JCIiIiK6gVd2A6irnTt3YsyYMRBCYNWqVRg8eLDaJRERERGRC5IQQqhdhLuFhYUhNzcXLVu2xG233ebyPv369cPUqVPrdJ7g4GAUFxcjISGhTsexs9lsQB1H1DUkvB7OeD2c8Xo44/VwxuvhjNfDGa+HMyWux+nTp6HX65GXl1fj7/XJltXc3FygdFaBlJSUCu9X17AaGBiIgoKCOh2jrNTUVABQLPx6O14PZ7wezng9nPF6OOP1cMbr4YzXw5kS10Ov1yMwMLBW3+uTLaveyj5va0XzuvoaXg9nvB7OeD2c8Xo44/VwxuvhjNfDmdrXw2cHWBERERGR52NYJSIiIiKPxbBKRERERB6LYZWIiIiIPBbDKhERERF5LM4GQEREREQeiy2rREREROSxGFaJiIiIyGMxrBIRERGRx2JYJSIiIiKPxbBKRERERB6LYZWIiIiIPBbDKhERERF5LIZVIiIiIvJYDKte6vjx43jrrbdw++23IzIyEnq9HjExMRg9ejS2b9+udnn1pqioCC+//DLatGkDPz8/NG3aFA899BDS09PVLs3tCgsL8e233+Kvf/0r2rZtCz8/PwQGBqJz58547bXXkJ+fr3aJqsrKykJ0dDQkSUKrVq3ULkdVGRkZePbZZ9G2bVv4+/sjPDwc3bp1w//93/+pXZrb/fbbbxg3bhyaNm0KvV6P0NBQ9O/fHwsXLkRDXCNn7969ePPNNzF69Gg0b94ckiRBkqQqv2/RokXo2bMngoKCEB4ejuHDh2PXrl1uqbk+1eR6yLKM7du34+9//zu6d++O4OBgGI1GJCQkYMaMGUhJSXF7/fWhts+RsgYNGuT4vvPnzytfpCCv1KxZMwFABAUFiUGDBolx48aJm2++WQAQkiSJf//732qXqLiioiLRu3dvAUA0adJEjBs3TvTs2VMAEFFRUeL06dNql+hWn3/+uQAgAIjExEQxduxYMWTIEBEcHCwAiHbt2onLly+rXaZqJk2aJCRJEgBEQkKC2uWo5vfffxcRERECgOjQoYO4//77xbBhw0RsbKzQarVql+dWX3/9tdBqtQKA6Natmxg3bpy4/fbbhU6nEwDE+PHj1S5RcSNHjnS8TpT9qsyTTz4pAAh/f38xcuRIMWTIEKHT6YRWqxVr1qxxW+31oSbX448//nDsj4mJESNGjBCjRo1yvP8GBweL7du3u/0xKK02z5GyFi5c6MgeAMS5c+cUr5Fh1UvdeeedYsmSJaKoqMhp+/z58wUAodVqxdGjR1Wrrz68+OKLAoC49dZbRV5enmP73LlzBQAxYMAAVetzt0WLFolp06aJ5ORkp+0XLlwQXbt2FQDEAw88oFp9avrxxx8FADFt2jSfDqtXrlwRkZGRIiAgQHz33Xfl9u/evVuVutRQXFwsoqOjBQCxdOlSp33JyckiPDxcABA//fSTajXWhzfffFO89NJLYu3ateLixYvCaDRWGkS2bNkiAIiIiAhx8uRJx/Zdu3YJg8EgQkNDRU5OjpuqV15NrsepU6fEXXfdJf73v/8JWZYd200mk5g8ebIAIFq0aCEsFosbH4HyavocKevKlSsiPDxcDB48WMTGxjKsUvUNHjxYABCzZ89WuxTFmM1mERISIgCIffv2ldvfqVMnAUD8/vvvqtTnaXbt2iUACKPRKMxms9rluFVhYaFISEgQ7du3FydPnvTpsPrwww8LAOKjjz5SuxTVHT58WAAQbdu2dbn/iSeeEADEW2+95fba3KmqIDJs2DABwOWnc/Zr9O6779Zzle5Tk2BWVmFhoeM96eeff66X2tRSk2syfvx44efnJ06dOlWvYZV9Vhugzp07AwAuXLigdimK2blzJ65evYqEhAR07dq13P4xY8YAANatW6dCdZ7H/hwwm83IyspSuxy3evXVV3HmzBnMnz8fer1e7XJUU1RUhK+++gqBgYGYMmWK2uWozmg0Vut+ERER9V6LpyoqKsJPP/0ElHlNLYuvs9f5+/ujTZs2QAN7r62JTZs2YdmyZXjxxReRkJBQr+diWG2Azpw5AwCIiYlRuxTFHDx4EADQrVs3l/vt2w8dOuTWujyV/Tmg1+sRHh6udjluc+jQIcydOxdTpkxB//791S5HVb///jvy8vLQtWtX+Pv7Y+PGjZg5cyYeeeQRvPfeez73BhsfH4+EhAScOHECy5Ytc9p37NgxfPXVVwgLC8OoUaNUq1FtJ06cgNlsRlRUFJo3b15uP19nr5NlGWlpaUADe6+troKCAjz88MNo164d/v73v9f7+XT1fgZyq9OnT2P9+vUAgBEjRqhdjmLOnj0LAC5fQMtut794+Lp58+YBAIYOHVrtFiVvJ8sypk6ditDQULz99ttql6O65ORkAEB0dDTuvfdefPfdd077X3jhBXzxxRd44IEHVKrQvbRaLRYvXow//elPmDBhAubOnYvWrVvjypUr2L59O9q3b49Fixb51B93N6rqdTYwMBChoaHIyclBXl4egoOD3Vyh51i+fDmuXLmCqKgo9OnTR+1y3O7ll19Gamoqfv75ZxgMhno/H1tWGxCr1YrJkyfDbDbj/vvvR/fu3dUuSTH2aZgCAgJc7g8MDAQA5OXlubUuT7RhwwZ88cUX0Ov1eP3119Uux20++OAD/Pbbb3jnnXd8+qNcu5ycHADA2rVrsWnTJnz00Ue4cuUKUlNT8eyzz6KoqAiTJk3CgQMH1C7Vbfr27YukpCTEx8dj3759WLlyJbZu3QqNRoO77roL8fHxapeoqqpeZ8HXWgDAuXPn8NRTTwEAXnvtNZ9pELDbt28f5s2bh0mTJmHAgAFuOSdbVlUyatQoHDt2rEbfs2TJEvTs2bPC/U888QR27NiB+Ph4fPzxxwpUSd7m+PHjmDhxIoQQeOeddxx9Vxu6s2fPYtasWRgwYAAmT56sdjkeQZZloPSP2Dlz5uCRRx5x7HvnnXeQlpaG1atX45133sHSpUtVrNR9li9fjilTpqB3795Yvnw5OnTogAsXLuDdd9/F3LlzsXXrVuzatcvnwgdVX0FBAUaPHo3MzEzce++9mDFjhtoluZXNZnN8gvXuu++67bwMqypJSUnBiRMnavQ9hYWFFe6bM2cOPvnkEzRu3BibN29ucB9lBQUFAZVcg4KCAgDw6Y+l0tPTMXToUOTk5GDmzJl48skn1S7JbR599FFYLBbMnz9f7VI8hv13BoDLAVZTpkzB6tWrkZSU5ObK1PHHH39g0qRJiI6Oxvr16x3Xp3Xr1vj0009x4cIFrF+/HgsWLMDDDz+sdrmqqOp1Fj7+WltcXIyxY8fi999/R79+/cr1ffYF7733Hvbv348vvvgCkZGRbjsvw6pKlPzobf78+Zg1axZCQkKwadOmBrlaT4sWLQCgwpUx7NtjY2PdWpenyM7OxuDBg5GWloYpU6a49S9eT7B+/XqEhoaWa+UwmUxAaZAfOHAgAGDFihU+MSDC/rsQEBCAqKiocvvj4uIAAFeuXHF7bWpYsWIFiouLMXToUKcgbzdu3DisX78e27Zt89mwWtXrbEFBAXJzcxEWFuZzYVWWZUyaNAkbN25Ely5dsG7dOvj7+6tdltutW7cOkiRh8eLFWLJkidO+S5cuAQDGjh0Lo9GI559/HkOHDlXkvAyrXm7FihV49NFHERAQgO+//x5dunRRu6R6Yf84e9++fS7327d36tTJrXV5gvz8fAwbNgzJyckYPXo0Pv/88xovldcQ5ObmVthKaDKZHPvsAbahs0/xVlRUBLPZXO6j7ezsbOCGFtiGzB7AQkJCXO63b7f39fVFbdu2hdFoREZGBtLT09GsWTOn/b78Ovv4449j+fLlaNOmDTZv3ozQ0FC1S1KNEALbtm2rcP+vv/4KAIp2yeIAKy+2YcMGPPjgg9DpdFizZg369u2rdkn1pm/fvggJCcHp06ddtkp//fXXAIB77rlHherUYzabMXLkSOzZswdDhgzB8uXLodVq1S7L7UoXOCn3ZV+7OyEhwbHN3qLY0LVo0QKdO3eGEMJliLdvczVvcUNkb03//fffXe7/7bffgDItzr7I398fd9xxBwBg9erV5fb76uvsrFmz8PHHH6NFixbYsmULoqOj1S5JNT///HOFr7f2T3POnTsHIYSy4wcUX2aA3GLHjh3C399f6HQ6r1+rubrsy6326dNH5OfnO7b76nKrVqtVjBo1SgAQ/fv3FwUFBWqX5HFSUlJ8egWrpUuXCgCiY8eO4sKFC47t+/fvdywvumrVKlVrdJe9e/c61jz/+OOPnfb98ssvIjAwUAAQW7ZsUa1Gd6jLcqtGo9Hrl1u9UVXX41//+pcAIGJiYpyuR0NW21W96nMFK0kIIZSLvuQuYWFhyM3NRcuWLXHbbbe5vE+/fv0wdepUt9dWX0wmEwYOHIjdu3ejSZMm6N+/P9LS0rB7925ERUXh119/9ampZ+bNm+eYPmXUqFFo1KiRy/u9++67bu0I70lSU1PRsmVLJCQk4NSpU2qXo4rJkydj8eLFCA0NRZ8+fVBUVIRdu3bBbDbjb3/7Gz777DO1S3Sb//u//3P05+7QoQPat2+PCxcu4JdffoEsy5g2bRo+/fRTtctU1Pfff+80hd2ePXsghECvXr0c21566SXcfffdjttPPfUU5s2bh4CAANx1112wWCzYsmULhBD4+uuvce+997r9cSilJtfjwIED6NatG4QQuPXWWx0rVt1o6tSp6Nevn1vqrw+1eY64EhcXh7S0NJw7d67CuXprTfH4S25hbyGo7GvSpElql6m4wsJC8dJLL4mEhARhMBhETEyMmDx5cr38JefpXnnllWo9D1JSUtQuVTW+3rIqhBCyLIvPPvtMdO/eXQQEBIjAwEBx6623ikWLFqldmiq++eYbMXjwYBERESF0Op0ICwsTt99+u1i2bJnapdWLhQsXVvkasXDhQpffZ3/OhIaGiqFDh4qdO3eq8hiUVJPrsXXr1mq9xrq6ft6kts+RG7FllYiIiIh8EgdYEREREZHHYlglIiIiIo/FsEpEREREHothlYiIiIg8FsMqEREREXkshlUiIiIi8lgMq0RERETksRhWiYiIiMhjMawSERERkcdiWCUiIiIij8WwSkREREQei2GViDze5MmTIUkSUlNT1S7Fo6SmpkKSJMyePdurju0JnnvuOcTExKCoqMixbfbs2XV+ns2cORPNmjVzOi4R1Q3DKhG5lc1mw4IFC3D77bcjIiICRqMRLVq0wF/+8hfs379f7fIaNFmW8fnnn6Nv374ICQmB0WhEs2bN0L9/f7z44os4d+6c2iW6RXp6Oj744APMnDkT/v7+ih772WefRVZWFubNm6focYl8GcMqEblNbm4ubr/9dvz1r3/FyZMnMWbMGMycORO33HILVq9eje7du2Pu3Llql9lgTZgwAdOmTcOpU6dw33334ZlnnsGIESOQn5+Pf/7zn9i9e7faJbrFO++8AyEEZsyY4bT9sccew7Fjx9CsWbNaH7tp06YYN24c3n77bZhMJgWqJSKd2gUQkW8QQmD8+PHYvn07xo8fj//85z9OrVrHjx/HkCFD8Oyzz+Kmm27CuHHjVK23ofn555+xYsUK3HLLLUhKSkJAQIDT/lOnTkGjafjtFyaTCUuWLMHw4cPRqFEjp32RkZGIjIys8zn+/Oc/48svv8Q333yD8ePH1/l4RL6u4b8yEZFH2LhxIzZu3Iibb74ZixYtKvfxa7t27bBq1SoAwDPPPIPi4uJyx7BarXj55ZfRokUL+Pn5oVu3bvjuu+/K3e/cuXOYNm0a4uPj4efnh8jISPTo0QPvvvtuufsmJyfjgQceQExMDIxGI1q1aoXZs2fDbDY73W/RokWQJAmLFi3CqlWr0L17d/j7+2Py5Ml46aWXIEkSfvzxR5ePfcyYMdBoNDh//rzTY3n//ffRtWtXBAQEICQkBMOGDcOePXtcHmPZsmXo1KkT/Pz8EBsbi1dffRU2m63C630j+3EnTpxYLqgCQKtWrRAfH1/pMSrrx/rzzz87rs+N9588eTIOHTqEwYMHIzg4GNHR0Zg5cyasVisA4LPPPkP79u3h5+eHdu3aYc2aNeWOP3DgQEiShIKCAjz++OOIiYlBQEAA+vXrh507d1b7Oqxfvx45OTkYPXp0uX2u+qyW/bl/++236NatG/z8/NCiRQu88cYbLs8xePBgBAUF4csvv6x2XURUMYZVInKLJUuWAACefvpp6PV6l/fp1asX+vfvj/Pnz+Onn34qt/+JJ57AF198gfvuuw9//etfkZqailGjRuG///2v4z4FBQXo27cvFi1ahG7duuHpp5/G2LFj4e/vjwULFjgdLykpCT169MC6deswaNAgRwh69dVXMXr0aAghytWwfPlyPPjgg2jdujWeeOIJdO7cGQ888AAAYMWKFeXun5eXh++//x79+/dH8+bNgdK+o/fddx+efPJJ6HQ6TJs2DWPGjMGvv/6K2267Ddu2bXM6xmeffYYJEybg8uXLmDZtGu69917Mnz8fjz/+eDWvPhAeHg4A+OOPP6r9PUo5c+YMbrvtNhiNRkybNg3R0dH497//jeeeew5vvfUWXnzxRfTp0weTJ0/G+fPnMXbsWBw/ftzlscaOHYvNmzfjwQcfxAMPPIB9+/bhzjvvxC+//FKtWn7++Weg9LlWE2vWrMH48ePRrl07PPzwwzAYDHjhhRfw/vvvl7uvTqdD9+7dsX37dkcgJ6I6EEREbhAbGysAiNOnT1d6v1mzZgkAYvbs2Y5tkyZNEgBEs2bNREZGhmP7H3/8IQICAkRMTIwwm81CCCG+++47AUDMmzev3LEzMzMd/zeZTKJZs2YiJiZGpKWlOd3v6aefFgDE8uXLHdsWLlwoAAitVit27dpV7tidOnUSYWFhjjrsFi9eLACITz75xLHtww8/FADEiy++KGRZdmxPTU0VoaGhIjEx0bE9OztbBAUFiejoaHHx4kXHfS9duiRiYmIEAPHKK69Uek2FEOLs2bMiKChIaDQaMX78ePH11187He9GKSkp5Y7tapvd1q1bBQCxcOHCcvcHID799FPH9oKCAtG0aVPh5+cnbrrpJnH27FnHvjVr1ggA4pFHHnE6/oABAwQA0blzZ1FYWOjYvmPHDiFJkujWrVuV10AIIbp37y6Cg4Nd7nvllVcEAJGSkuLYZv+5GwwGsXfvXsf2nJwcERERIRISElwea+bMmQKA0/cQUe2wZZWI3OLy5csAUOXgFft++/3LeuKJJ5z6FLZq1QqTJk3CpUuXsHXrVqf7uvqoOyIiwvH/devWIT09Ha+88gpatGjhdL9XX30VkiRh9erV5Y5x33334dZbby23ffz48cjJycGmTZucti9fvhx6vR5jx451bPvkk0/QtGlTx3nsYmNjMXXqVBw7dgxHjhwBAHz33XfIz8/Ho48+ipiYGMd9GzdujCeffLJcHRW56aabsHLlSjRu3BjLli3DmDFj0KRJE7Rs2RKPPfYYUlJSqn2smmrdujX+9re/OW4HBARg+PDhMJlMmD59Om666SbHvhEjRsBgMDge/41eeOEFpy4kffv2xdChQ7Fv3z6cOHGiylrOnz+PqKioGj+GiRMnolu3bo7boaGhGDFiBE6fPo28vLxy92/cuLHjfERUNxxgRUReo0+fPuW23Xrrrfjkk09w6NAhDBkyBLfddhuio6PxyCOP4KeffsKwYcMwcOBAp0CEMn049+7d67IPpr+/v8vwUzawlPXnP/8Z/+///T8sX74cI0aMAABkZmbixx9/xODBgx1BuaCgAMnJyUhISMDrr79e7jjJyckAgBMnTqBjx444dOhQhY+9b9++FVwp14YPH47U1FRs2bIF27Ztw2+//YZdu3bho48+wuLFi/G///0PPXv2rNExq6Njx45OoRyAI3h36tTJabtGo0F0dDQuXLjg8lgVPQc2btyIQ4cOoW3btpXWkp2d7eiOUROdO3cut61p06ZA6SwXwcHBTvvCwsIAAFlZWTU+FxE5Y1glIrdo3Lgx0tLSkJ6eXulAHntIsbdMleWqRSw6OhoAcO3aNaC0xWvXrl148cUXsW7dOixfvhwA0KNHD/zrX/9Cv379AAA5OTkAgP/85z8V1lJQUFDh+W4UGxuLPn36YN26dSgsLERAQAC+/vprWK1WpxHhubm5EELg1KlTePXVV6s8t/1xVfbYa8JgMODuu+/G3XffDQDIz8/HCy+8gA8++AAPP/ww9u7dW+NjVuXGIAcAWq220n2uBtihms+Byvj7+9dqSqkbZw5Aad9UlM4dfCP7ogBKz+NK5IvYDYCI3KJ3795AmQEuFUlKSnK6f1kZGRnltl25cgW4IUwkJCRgxYoVyM7Oxs6dO/H3v/8dR44cwd13342LFy8CZULSjh07IIRw+eXqo/EbWwjLeuCBB1BQUIC1a9cCpV0AAgICMHLkSMd97OcdNGhQhecVQmDSpElOj6uyx14XQUFBmDdvHuLi4rB//36XAd3OPrWVq0FD1QmKSqjuc6AiUVFRyM7OrpfayrL/MVSbLgdE5IxhlYjc4i9/+QsA4L333qtwhPSePXuwfft2NG/eHHfccUe5/bt27Sq3zT4KvGPHjuX26fV69OnTB2+99RZeeOEFXLt2zTHSvkePHgCg6ET448aNg06nw/Lly3H+/Hls374d99xzD4KCghz3adSoEdq0aYNDhw5Vq4XP/jG5q8dekymbKiNJEgICAiCEqHSZ0NDQUKBM63dZ7lp9rKbPgRt16NABly9fdtnPVEknT54EANx88831eh4iX8CwSkRuMXz4cAwePBiHDx/GQw89VC6onTx5Evfffz+EEJg7d67L6a3ef/99ZGZmOm6fOnUKixcvRuPGjR3hNjk52ek+dvbWN6PRCAC499570aRJE/zjH/9wOZgnIyMDx44dq9FjjIqKwp133olNmzZh/vz5EEI4prUq6+GHH8aVK1fwzDPPlAvuQginqatGjhyJwMBAfPTRR7h06ZLT46nJkp6bN2/G+vXrIctyuX3r1q3DsWPH0KZNm0onxW/UqBFatWqFtWvXIjc317H9zJkzLqdwqg9vvPGGU6DeuXMnNm3ahK5du6Jdu3ZVfn/fvn0hyzL27dtXr3Xu2bMHbdq0cdmdhYhqhn1WicgtJEnC8uXLcc899+DLL7/ETz/9hD/96U8IDw/HyZMnsX79elgsFrzzzjsVrl7VqVMndO7cGePGjYPFYsHy5ctRVFSExYsXw2AwAAB++OEHPPfcc+jfvz/atGmDRo0a4cCBA9i8eTMSExMxdOhQoLQv4YoVK3D33Xeja9euGD58ONq2bYu8vDycOnUKSUlJeO2115CYmFijxzl+/Hhs3rwZb731FkJDQzFs2LBy93niiSeQlJSEjz/+GFu2bMGAAQMQFhaGc+fOYffu3bhw4YIjzIeFhWHu3LmYMWMGunTpgnHjxkGSJKxatQpdu3bFxo0bq1XXsWPH8PTTTyMmJgYDBgxAy5YtYTKZcPDgQWzduhUGgwEffvhhlcd58skn8fjjj6Nbt24YOXIksrOzsWbNGtx555349ttva3StaqNJkybo3Lkz7r33XmRlZWH58uXVrh2lsw0899xz+OmnnzBgwIB6qfHs2bM4deoUnnnmmXo5PpGvYVglIrcJDw9HUlISFi1ahK+++gqrVq1Cfn4+GjdujDFjxuDpp59G9+7dK/z+999/H0uWLMHChQuRkZGBxMRELFy40KlP6JAhQ3DmzBkkJSVh7969sFgsaNGiBV544QU888wz8PPzc9z3tttuw/79+/Hmm2/ihx9+wMaNGxEaGoq4uDi88MILtVoqc9SoUZg+fTpMJhPuu+8+R4guS6PR4L///S8WLFiABQsWYOXKlSguLkbTpk1xyy234P7773e6//Tp0xEUFIQ333wTn376KWJiYjB9+nRMnDgRrVu3rlZdEyZMQEBAADZu3Ih9+/Zh3bp1sNlsaNasGaZMmYJnnnkGHTp0qPI4jz32GEwmEz788EN8/PHHSEhIwLx589CyZUu3hNXVq1fjueeew5IlS3D16lV069YNb731lstZAlxp164d+vbti5UrV1Y6wK0u7ItD/PWvf62X4xP5Gkm4WqKFiIjIgwwcOBBJSUkuVxWrqdWrV2PcuHHYtWuXyzlz60IIgY4dOyImJqbC5XeJqGbYZ5WIiHzKmDFj0L17d8yZM0fxY3/77bc4evQo3njjDcWPTeSrGFaJiMinSJKETz/9FD169Kh09oPaKC4uxvz58x2zTRBR3bEbABEReTwluwEQkXdhWCUiIiIij8VuAERERETksRhWiYiIiMhjMawSERERkcdiWCUiIiIij8WwSkREREQei2GViIiIiDwWwyoREREReSyGVSIiIiLyWAyrREREROSxGFaJiIiIyGMxrBIRERGRx2JYJSIiIiKPxbBKRERERB7r/wPaC3aieKfjgQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Efficient LOO-CV via closed-form GP identity (O(n^3), no refitting)\n", "loo_obs, loo_pred, loo_std = compute_loo_cv(slump_gp)\n", "\n", "res = loo_pred - loo_obs\n", "ss_res = (res**2).sum().item()\n", "ss_tot = ((loo_obs - loo_obs.mean())**2).sum().item()\n", "r2 = 1 - ss_res / ss_tot\n", "rmse = (res**2).mean().sqrt().item()\n", "mae = res.abs().mean().item()\n", "\n", "print(f\"LOO-CV R\\u00b2: {r2:.3f}\")\n", "print(f\"LOO-CV RMSE: {rmse * SLUMP_DISPLAY_SCALE:.2f} {slump_label()}\")\n", "print(f\"LOO-CV MAE: {mae * SLUMP_DISPLAY_SCALE:.2f} {slump_label()}\")\n", "\n", "fig = plot_calibration(\n", " observed=loo_obs * SLUMP_DISPLAY_SCALE,\n", " predicted_mean=loo_pred * SLUMP_DISPLAY_SCALE,\n", " predicted_std=loo_std * SLUMP_DISPLAY_SCALE,\n", " title='Slump LOO-CV',\n", " xlabel=f'Observed Slump ({slump_label()})',\n", " ylabel=f'Predicted Slump ({slump_label()})',\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "406702f7", "metadata": { "originalKey": "406702f7" }, "source": [ "## 5. Feature Importance\n", "\n", "The model operates on 11 features: 10 raw composition inputs plus the derived\n", "HRWR-to-binder ratio. The ARD lengthscales reveal which features drive slump." ] }, { "cell_type": "code", "execution_count": 6, "id": "04fe61fb-398c-4d39-88f4-b8ea79d80112", "metadata": { "execution": { "iopub.execute_input": "2026-05-01T17:31:55.656851Z", "iopub.status.busy": "2026-05-01T17:31:55.656682Z", "iopub.status.idle": "2026-05-01T17:31:55.748059Z", "shell.execute_reply": "2026-05-01T17:31:55.747346Z" }, "originalKey": "04fe61fb-398c-4d39-88f4-b8ea79d80112", "output": { "id": 987865030375322, "loadingStatus": "loaded" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "covar = slump_gp.covar_module\n", "if hasattr(covar, 'base_kernel') and hasattr(covar.base_kernel, 'lengthscale'):\n", " lengthscales = covar.base_kernel.lengthscale.squeeze().detach()\n", "elif hasattr(covar, 'lengthscale'):\n", " lengthscales = covar.lengthscale.squeeze().detach()\n", "else:\n", " raise AttributeError(f'Cannot extract lengthscales from {type(covar)}')\n", "\n", "feature_names = DEFAULT_X_COLUMNS[:-1] + ['HRWR/binder']\n", "fig = plot_feature_importance(\n", " lengthscales=lengthscales,\n", " feature_names=feature_names,\n", " title='Slump Model: Feature Importance',\n", ")\n", "plt.show()" ] } ], "metadata": { "fileHeader": "", "fileUid": "3db6c87f-afcb-407b-b428-f7381cf438c8", "isAdHoc": false, "kernelspec": { "display_name": "BOxCrete (.venv)", "language": "python", "name": "boxcrete" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.13+meta" } }, "nbformat": 4, "nbformat_minor": 5 }