From 185a76d40ccc61a2cc5f802044b04ed6d9c7b7a6 Mon Sep 17 00:00:00 2001 From: Juan Orduz Date: Sun, 22 Dec 2024 10:55:09 +0100 Subject: [PATCH 1/3] auto-fix --- .pre-commit-config.yaml | 4 ++-- notebooks/pytensor_logp.ipynb | 43 +++++++++++++++++++++++------------ python/nutpie/__init__.py | 2 +- 3 files changed, 31 insertions(+), 18 deletions(-) diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 31f6fe6..972b7f5 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -3,7 +3,7 @@ ci: repos: - repo: https://github.com/pre-commit/pre-commit-hooks - rev: v4.6.0 + rev: v5.0.0 hooks: - id: debug-statements - id: check-merge-conflict @@ -16,7 +16,7 @@ repos: - id: trailing-whitespace - repo: https://github.com/astral-sh/ruff-pre-commit - rev: v0.5.6 + rev: v0.8.3 hooks: - id: ruff args: ["--fix", "--output-format=full"] diff --git a/notebooks/pytensor_logp.ipynb b/notebooks/pytensor_logp.ipynb index 9360135..a3b0503 100644 --- a/notebooks/pytensor_logp.ipynb +++ b/notebooks/pytensor_logp.ipynb @@ -34,15 +34,14 @@ "metadata": {}, "outputs": [], "source": [ - "import pytensor\n", - "import pytensor.tensor as pt\n", - "import pymc as pm\n", - "import numpy as np\n", - "import nutpie\n", "import arviz\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", "import pandas as pd\n", + "import pymc as pm\n", "import seaborn as sns\n", - "import matplotlib.pyplot as plt" + "\n", + "import nutpie" ] }, { @@ -404,7 +403,7 @@ " filename=\"radon_model.stan\",\n", " coords=coords_stan,\n", " dims=dims_stan,\n", - " cache=False\n", + " cache=False,\n", ")" ] }, @@ -484,8 +483,8 @@ "metadata": {}, "outputs": [], "source": [ - "import stan\n", "import nest_asyncio\n", + "import stan\n", "\n", "nest_asyncio.apply()" ] @@ -522,7 +521,7 @@ ], "source": [ "%%time\n", - "with open(\"radon_model.stan\", \"r\") as file:\n", + "with open(\"radon_model.stan\") as file:\n", " model = stan.build(file.read(), data=data_stan)" ] }, @@ -748,7 +747,10 @@ } ], "source": [ - "plt.plot((trace_pymc.warmup_sample_stats.n_steps).isel(draw=slice(0, 1000)).cumsum(\"draw\").T, np.log(trace_pymc.warmup_sample_stats.energy.isel(draw=slice(0, 1000)).T));\n", + "plt.plot(\n", + " (trace_pymc.warmup_sample_stats.n_steps).isel(draw=slice(0, 1000)).cumsum(\"draw\").T,\n", + " np.log(trace_pymc.warmup_sample_stats.energy.isel(draw=slice(0, 1000)).T),\n", + ")\n", "plt.xlim(0, 10000)\n", "plt.ylabel(\"log-energy\")\n", "plt.xlabel(\"gradient evaluations\");" @@ -782,7 +784,13 @@ } ], "source": [ - "plt.plot((trace_cmdstan.warmup_sample_stats.n_steps).isel(draw=slice(0, 1000)).cumsum(\"draw\").T, np.log(trace_cmdstan.warmup_sample_stats.energy.isel(draw=slice(0, 1000)).T));\n", + "plt.plot(\n", + " (trace_cmdstan.warmup_sample_stats.n_steps)\n", + " .isel(draw=slice(0, 1000))\n", + " .cumsum(\"draw\")\n", + " .T,\n", + " np.log(trace_cmdstan.warmup_sample_stats.energy.isel(draw=slice(0, 1000)).T),\n", + ")\n", "plt.xlim(0, 10000)\n", "plt.ylabel(\"log-energy\")\n", "plt.xlabel(\"gradient evaluations\");" @@ -1607,7 +1615,12 @@ } ], "source": [ - "type({name: int(val) if isinstance(val, int) else list(val) for name, val in data_stan.items()}[\"county_idx\"][0])" + "type(\n", + " {\n", + " name: int(val) if isinstance(val, int) else list(val)\n", + " for name, val in data_stan.items()\n", + " }[\"county_idx\"][0]\n", + ")" ] }, { @@ -1622,13 +1635,13 @@ " if isinstance(val, int):\n", " data_json[name] = int(val)\n", " continue\n", - " \n", + "\n", " if val.dtype == np.int64:\n", " data_json[name] = list(int(x) for x in val)\n", " continue\n", - " \n", + "\n", " data_json[name] = list(val)\n", - " \n", + "\n", "with open(\"radon.json\", \"w\") as file:\n", " json.dump(data_json, file)" ] diff --git a/python/nutpie/__init__.py b/python/nutpie/__init__.py index 980b7e5..443f099 100644 --- a/python/nutpie/__init__.py +++ b/python/nutpie/__init__.py @@ -4,4 +4,4 @@ from nutpie.sample import sample __version__: str = _lib.__version__ -__all__ = ["__version__", "sample", "compile_pymc_model", "compile_stan_model"] +__all__ = ["__version__", "compile_pymc_model", "compile_stan_model", "sample"] From f3d6a8aef3f2941112e478787d4fde47a1347f79 Mon Sep 17 00:00:00 2001 From: Juan Orduz Date: Sun, 22 Dec 2024 11:01:00 +0100 Subject: [PATCH 2/3] pre-commit nb --- notebooks/pytensor_logp.ipynb | 22 +++++++++++++--------- 1 file changed, 13 insertions(+), 9 deletions(-) diff --git a/notebooks/pytensor_logp.ipynb b/notebooks/pytensor_logp.ipynb index a3b0503..94661ef 100644 --- a/notebooks/pytensor_logp.ipynb +++ b/notebooks/pytensor_logp.ipynb @@ -34,6 +34,8 @@ "metadata": {}, "outputs": [], "source": [ + "from pathlib import Path\n", + "\n", "import arviz\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -85,7 +87,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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", "text/plain": [ "
" ] @@ -169,7 +171,8 @@ ], "source": [ "%%time\n", - "# The compilation time is pretty bad right now, I think this can be improved a lot though\n", + "# The compilation time is pretty bad right now,\n", + "# I think this can be improved a lot though\n", "compiled_model = nutpie.compile_pymc_model(pymc_model)" ] }, @@ -252,7 +255,7 @@ }, { "data": { - "image/png": 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\n", 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", 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" ] @@ -521,7 +524,7 @@ ], "source": [ "%%time\n", - "with open(\"radon_model.stan\") as file:\n", + "with Path(\"radon_model.stan\").open() as file:\n", " model = stan.build(file.read(), data=data_stan)" ] }, @@ -737,7 +740,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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", 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" ] @@ -774,7 +777,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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//vtZsGABCxcu5P77788EpL566aWXOP7446msrMSyLObOndtjvjGGa6+9lsrKSrKysjj88MN5//33+1syAImVGwb0ORERERmZ+h2S/H4/jz766KCsvKOjgxkzZnDHHXf0Ov8Xv/gFv/rVr7jjjjuYP38+5eXlHHXUUbS1tfV7XV5wQN2vREREZIQaUHL4j//4j82O+gzE7NmzueGGG/jKV76y2TxjDLfeeitXXXUVX/nKV9hjjz3405/+RGdnJ/fdd1+/1+V1Jbe5XhERERk5BtQnadKkSVx//fW89tprzJw5k3A43GP+RRddtM2FVVdXU1tby9FHH52ZFgwGOeyww3jttdf4zne+0+vn4vE48Xg8Mx6NRgEwrvokiYiISN8NKCTdfffd5Ofn8/bbb/P222/3mGdZ1qCEpNraWgDKysp6TC8rK2PVqlVb/NxNN93Eddddt9l04+pmkiIiItJ3AwpJ1dXVg13HFn36GXHGmF6fG7fRlVdeyaWXXpoZj0ajVFVVKSSJiIhIv2xTb+ZEIsGyZctwt8OprPLycuCTI0ob1dXVbXZ0aVPBYJC8vLweAwCuN+g1ioiIyK5rQCGps7OTc845h+zsbKZPn87q1auBdF+km2++eVAKGz9+POXl5TzzzDOZaYlEose9mPrDSukBtyIiItJ3AwpJV155Je+88w4vvPACoVAoM/3II4/kwQcf7PNy2tvbWbRoEYsWLQLSp/EWLVrE6tWrsSyLSy65hJ/97Gc8+uijvPfee5x55plkZ2dz6qmn9rtmK6UjSSIiItJ3A+qTNHfuXB588EEOOOCAHv2Dpk2bxscff9zn5bz11lscccQRmfGNfYnmzJnDH//4R374wx/S1dXFd7/7XZqbm9l///15+umnB/RMOMsD43lYtu6XJCIiIp9tQCGpvr6e0tLSzaZ3dHRstVP1px1++OEYs+XTYJZlce2113LttdcOpMzNuG4SfyA4KMsSERGRXduADqvsu+++PPHEE5nxjcHorrvu4sADDxycyrYDN5EY7hJERERkJzGgI0k33XQTX/rSl1iyZAmu63Lbbbfx/vvv8/rrr/Piiy8Odo2DJqWQJCIiIn00oCNJBx10EK+++iqdnZ1MnDiRp59+mrKyMl5//XVmzpw52DUOGjepR5OIiIhI3wzoSBLAnnvuyZ/+9KfBrGW7cxPxz24kIiIiwjaEJM/zWL58OXV1dXhez8vrDz300G0ubHtI6UiSiIiI9NGAQtIbb7zBqaeeyqpVqza7Os2yLFKpHfMRIOq4LSIiIn01oJB03nnnMWvWLJ544gkqKir6ddn/cFJIEhERkb4aUEj66KOPeOihh5g0adJg17NduUmFJBEREembAV3dtv/++7N8+fLBrmW7SykkiYiISB8N6EjS9773PS677DJqa2vZc8898fv9Pebvtddeg1LcYNPpNhEREemrAYWkr371qwCcffbZmWmWZWGM2aE7bicVkkRERKSPBhSSqqurB7uOIZFMxIa7BBEREdlJDCgkjR07drDrGBLxeNdwlyAiIiI7iQF13Ab485//zMEHH0xlZSWrVq0C4NZbb+Xvf//7oBU32BIKSSIiItJHAwpJd955J5deeinHHnssLS0tmT5I+fn53HrrrYNZ36ByXd1xW0RERPpmQCHp9ttv56677uKqq67CcZzM9FmzZrF48eJBK26wpbwds0O5iIiI7HgGFJKqq6vZZ599NpseDAbp6OjY5qK2F894n91IREREhAGGpPHjx7No0aLNpv/rX/9i2rRp21rTdpPy3OEuQURERHYSA7q67fLLL+eCCy4gFothjGHevHncf//93HTTTdx9992DXeOg0ek2ERER6asBhaSzzjoL13X54Q9/SGdnJ6eeeiqjRo3itttu45RTThnsGgeNQpKIiIj01YBCEsC5557LueeeS0NDA57nUVpaOph1bReeUUgSERGRvhnwfZI2uvvuuwkEAoNRy3bneeq4LSIiIn2zzSHpZz/7GU1NTYNRy3an020iIiLSV9sckowxg1HHkFBIEhERkb7a5pC0M/EUkkRERKSPBtxxe6MlS5ZQWVk5GLVsd7qZpIiIiPTVNoekqqqqwahjSOhIkoiIiPTVgEJSQUEBlmVtNt2yLEKhEJMmTeLMM8/krLPO2uYCB1NKtwAQERGRPhpQSPrJT37CjTfeyOzZs9lvv/0wxjB//nyefPJJLrjgAqqrqzn//PNxXZdzzz13sGseMN0CQERERPpqQCHplVde4YYbbuC8887rMf13v/sdTz/9NA8//DB77bUXv/71r3ewkKQjSSIiItI3A7q67amnnuLII4/cbPoXv/hFnnrqKQCOPfZYVqxYsW3VDTJ13BYREZG+GlBIKiws5PHHH99s+uOPP05hYSEAHR0d5Obmblt1QFtbG5dccgljx44lKyuLgw46iPnz5w9oWTrdJiIiIn01oNNtV199Neeffz7PP/88++23H5ZlMW/ePP75z3/y29/+FoBnnnmGww47bJsL/Pa3v817773Hn//8ZyorK7n33ns58sgjWbJkCaNGjerXsvTsNhEREekrywzwltmvvvoqd9xxB8uWLcMYw9SpU/ne977HQQcdNGjFdXV1kZuby9///neOO+64zPS9996bL3/5y9xwww2bfSYejxOPxzPj0WiUqqoqbviPo8n63Fgu/fHvB60+ERER2T6i0SiRSITW1lby8vKGpYYB3yfp4IMP5uCDDx7MWjbjui6pVIpQKNRjelZWFq+88kqvn7npppu47rrrep2n020iIiLSVwMOSalUirlz57J06VIsy2LatGmccMIJOI4zaMXl5uZy4IEHcv3117P77rtTVlbG/fffz5tvvsnkyZN7/cyVV17JpZdemhnfeCQJwKCQJCIiIn0zoJC0fPlyjj32WNauXctuu+2GMYYPP/yQqqoqnnjiCSZOnDhoBf75z3/m7LPPZtSoUTiOw+c+9zlOPfVUFixY0Gv7YDBIMBjsdZ6OJImIiEhfDejqtosuuoiJEydSU1PDggULWLhwIatXr2b8+PFcdNFFg1rgxIkTefHFF2lvb6empoZ58+aRTCYZP358v5elkCQiIiJ9NaAjSS+++CJvvPFG5nJ/gKKiIm6++ebt1k8pHA4TDodpbm7mqaee4he/+EW/l6H7JImIiEhfDSgkBYNB2traNpve3t5OIBDY5qI29dRTT2GMYbfddmP58uVcfvnl7LbbbgN6LpxRSBIREZE+GtDpti9/+cv853/+J2+++SbGGIwxvPHGG5x33nmccMIJg1pga2srF1xwAVOnTuWMM87gkEMO4emnn8bv9/d7WTqSJCIiIn01oCNJv/71r5kzZw4HHnhgJqwkk0lOPPFEbr311sGsj5NPPpmTTz55UJZl1CdJRERE+mhAISk/P5+///3vLF++nKVLl2KMYdq0aUyaNGmw6xtUOpIkIiIifdXnkLTpvYd688ILL2Te/+pXvxpwQduT+iSJiIhIX/U5JC1cuLBP7SzLGnAx25s3sCewiIiIyAjU55D0/PPPb886hob6JImIiEgfDejqtp2VjiSJiIhIX42okKQ+SSIiItJXIywk6UiSiIiI9M0IC0k6kiQiIiJ9M7JCkqcjSSIiItI3IyskoZAkIiIifTOyQpJuASAiIiJ9NLJCko4kiYiISB+NrJBkjK5wExERkT4ZUSHJMuAad7jLEBERkZ3AiApJAMlUcrhLEBERkZ3AiApJlrFIegpJIiIi8tlGVkgChSQRERHpkxEVkgBcT32SRERE5LONqJBkGR1JEhERkb4ZUSEJFJJERESkb0ZUSLKMrm4TERGRvhlRIQks9UkSERGRPhlRIckCPKPnt4mIiMhnG1EhCQMeCkkiIiLy2UZUSLJAz24TERGRPhlRIQmj020iIiLSNyMqJDmepZAkIiIifTKiQlJOl4+UlxruMkRERGQnMKJCkj9lk+jsGO4yREREZCcwYkKS60t32O5qaB7mSkRERGRnsEOHJNd1+fGPf8z48ePJyspiwoQJ/PSnP8Xz+t+vKOlPh6RYU8sgVykiIiK7It9wF7A1P//5z/ntb3/Ln/70J6ZPn85bb73FWWedRSQS4eKLL+7XslIBwIVYo44kiYiIyGfboUPS66+/zoknnshxxx0HwLhx47j//vt56623tviZeDxOPB7PjEejUQCSAaAT4k2t27VmERER2TXs0KfbDjnkEJ577jk+/PBDAN555x1eeeUVjj322C1+5qabbiISiWSGqqoqAFI63SYiIiL9sEMfSfrRj35Ea2srU6dOxXEcUqkUN954I9/85je3+Jkrr7ySSy+9NDMejUapqqrCDViAjiSJiIhI3+zQIenBBx/k3nvv5b777mP69OksWrSISy65hMrKSubMmdPrZ4LBIMFgcLPpbiD9mmiOYozBsqztWbqIiIjs5HbokHT55ZdzxRVXcMoppwCw5557smrVKm666aYthqQt8XxgMJB06WxtIZxfsD1KFhERkV3EDt0nqbOzE9vuWaLjOAO6BYBl23SG0nfbjtbXDUp9IiIisuvaoY8kHX/88dx4442MGTOG6dOns3DhQn71q19x9tlnD2h57Vku4ZiP1voNVEzebZCrFRERkV3JDh2Sbr/9dq6++mq++93vUldXR2VlJd/5znf4yU9+0u9lJVPjacv+gLJmaK3bsB2qFRERkV3JDh2ScnNzufXWW7n11lu3eVkJXw6JLBeAaL1CkoiIiGzdDt0naTCFu1zau0OSjiSJiIjIZxkxISkvmqQ9e+ORJHXcFhERka0bMSEpmPDAdIekhjrMAK6QExERkZFjxIQkgNLWJNgWqWSSjhY96FZERES2bMSEJGPBuHpw8rIBaNUpNxEREdmKEROSAMbXGpz8HACidbXDXI2IiIjsyEZMSDJYTF9lCPgdQEeSREREZOtGTEjqyvKT3wllry8FdBsAERER2boRE5Le2H8US6og3BkDoGHB27rCTURERLZoxISkfFPA9d906PrcRCDdJ2nNdy8g1dY2zJWJiIjIjmjEhKRsN0TKsWg443AAOoN+ml5+iZVfP5n48uXDW5yIiIjscEZMSLK6X022n+Ix4wBorqoksXIlK0/+BtGnnx622kRERGTHM2JCEmbji2HsnjMAiB93DNn77YfX2cnaiy6m7tZbManUMBYpIiIiO4oRE5Lc7vDjGY8xe+4NQM2HSxnzv3+gcM4cABp/+ztqzj+fVGvrcJUpIiIiO4gRE5I28ozH6N33wHYcWus20NrYQNmVV1D5X7/ACoXoeOllqr9+MrEPPxzuUkVERGQYjaCQlO6VZIwhEMqiYvJUAFYvXgRA5PjjGXffX/BXVpJcvZqVp3yT6JNPDlexIiIiMsxGUEhK80jfG2ls9ym3Vd0hCSA0bRrjHn6I7AMPwHR2svaS71P3y1+pn5KIiMgINGJC0gcFZRjSp9uATL+k1e+90+Omkr6CAsbcdReF55wNQONdd1Hzn98h1dIyxBWLiIjIcBoxIakxK4dE1sxMSCqfOJlAVhax9jbqVq7o0dby+Si7/HIqf/nf6X5Kr75K9de+TmzZsuEoXURERIbBiAlJALHwQZmQ5Ph8jJ62J9DzlNumIscdx7gH7sc/ejTJNWtYeco3aX3iiaEqV0RERIbRiApJidDexLxPvvLYTU65bUlo6lTGP/Q3wgcfjOnqYt1lP2DDL/4L47rbu1wREREZRiMmJEVinWAHeD+em5m2MSStXfo+biKxxc86+flU/f53FJ17LgBN//u/rD73XNzm5u1as4iIiAyfEROSxjc0ArA4XpiZVjiqinBBIW4ywboPl27185bjUHrZpYy69Ras7Gw6X3+DlV/9GrElS7Zr3SIiIjI8RkxImlDXAsAGq4rmZPpUmWVZjN0j/YiSLfVL+rS8L30p3U9pzBiS69ax8pun0vr449ujZBERERlGIyYkRdpdnMQqsBwe29CYmZ65FUAfQxJAaMoUxv/tr4QP/TwmHmfd5T9kw003qZ+SiIjILmTEhCTPOOTG3gbgr7V1meljuh92W7tiObH29j4vz4lEqLrzTorOPw+Apj/9H6vPPge3qWkQqxYREZHhMmJCUiFRJtnrAFjQ5rIhngQgt7CYotFjwBhq3n+3X8u0HIfSiy9m1O2/xs7OpnPePKq/+jW63nt/0OsXERGRoTViQlKAJJPCefjiyzFYPF7fkpm38WhSX/slfVreUUcx7q8PEhg3Dnf9eladeiotc+due9EiIiIybEZMSLIwVISrCHa+AcDfN7Rk5n1yv6RFA15+cNIkxv3tr+QcfjgmkWD9FVdSe8ONmGRyG6oWERGR4TJiQpLfzacsaxTBzjfBGOZHO6iJpe+NNHr3PbFsm+b164jW133GkrbMyc1l9G/+h+ILLgCg+d57WX3W2bgNDYPyHURERGTo7PAhady4cViWtdlwQXcQ6TuLktAonFQLOW76WW2Pdd8WIJidTcWk3YCBn3LLrMW2KfnehYz+zf9gh8N0vvUW1V/7Ol2LF2/TckVERGRo7fAhaf78+axfvz4zPPPMMwB8/etf7+eSLIqCo9Lv2l4CYO6GT+6YvfFWANsakjbK/cIXGPe3vxKYMAG3tpZVp32LlocfHpRli4iIyPa3w4ekkpISysvLM8M//vEPJk6cyGGHHdZr+3g8TjQa7TFslGVHyA/mE+ichw0sbu9ieWcMgLHdnbdXv/cOxvMGpfbghAmM++uD5Bz5xXQ/pat+zPrrrsNs5REoIiIismPY4UPSphKJBPfeey9nn302lmX12uamm24iEolkhqqqqu45hkTKMLNsJrbXzkR/K/BJB+6KybvhD4boirZSv3rloNXs5OQw+te/puTii8CyaLn/AVadeRZuff2grUNEREQG304VkubOnUtLSwtnnnnmFttceeWVtLa2ZoaamprMvM5Ein3L9wXI3Fhybl0zxhgcn5/R0/YA+nf37b6wbJvi889n9J2/wc7NpWvBgvT9lBYN7npERERk8OxUIekPf/gDs2fPprKycottgsEgeXl5PQYADHTEXWaVzQKgru7vBC2LjzrjLO3YeMptbwBWvffOdqk/9/DDGf+3vxKYNBG3ro6Vp59B81//ul3WJSIiIttmpwlJq1at4tlnn+Xb3/72gJfRFksyuWAykWCEeLKJWbkGgIdq0x24N3beXrP0PdztdH+jwLhxjHvgQXKPPhqSSWp/cg3rf3INnvopiYiI7FB2mpB0zz33UFpaynHHHTfgZbTFXGzLZmbpTADGmeUA/GV9I+1uiuKqsWRH8nHjcdZ/9MGg1N0bJyfMqNtupeT730/3U/rrX1l9+hkkNwz8Hk0iIiIyuHaKkOR5Hvfccw9z5szB5/MNbCFWOiQBmX5J7S3PMjErSKub4i/rG7EsizF7dF/lNsj9kjYrx7Io/s5/UvX732Hn5dH1zjtUf+2rdC5YsF3XKyIiIn2zU4SkZ599ltWrV3P22Wdv03La4z1D0qINC/lOVREAv6upJ+mZT/olbeeQtFHO5z/P+If+RnDyZFL1DayacybNDzyAMWZI1i8iIiK92ylC0tFHH40xhilTpgx4GeHy92mLpfsZTS6YTF4gj063k+m+WkoDPtbFk8yta8487LZ2+UfEOzsGpf7PEhgzhnEP3E/u7C+l+yldex3rr74aLx4fkvWLiIjI5naKkDQYArl1mSNJtmUzsyzdL+md+rc4d3QJAP+zuo7cohIKKkZhjEfN+0P3KBE7HGbUr35F6Q8uA9um9aGHWXX6GSRra4esBhEREfnEiAlJWCbTJwk+OeX2Vu1bnFFZRNix+aAjxr+b2gb9ESV9LtGyKPr2t6m66/c4kQixd9+l+qtfo3P+/CGtQ0REREZQSLLoGZI23i9pQd0Cwg6cXpnum/Q/q+s+eUTJEIekjXIOPphxDz9EcOpUUo2NrDrrbJru/Yv6KYmIiAyhEROS0keSPrn30ZSCKeQGculIdvBB0wf85+gSfBa81tJO45gpWJZN07o1tDU2DEu5gdGjGXf/feQddxy4LhtuuIH1V/4/vFhsWOoREREZaUZOSOKTq9sAHNvJ9Et6q/YtKkMBvlJWAMDdDW2UTZgEQPXChcQ7k3RGE7Q3x4k2dNGyoZPGde3Ur25jQ3WUdctbWLOsmbpV0UE92mNnZVH53/9F6Y9+lO6nNHcuq077Fsl16wZtHSIiItI7y+zi53Ci0SiRSIR77zyeJe9fxN6j8vFSHl7K0NzZQmtXlCw7izxfhPXZFrcfngPG8J1H/k1e/fPYgd0JhGf3eX1V0wo59JQp5JdmD+r36HjjDdZe8n1SLS04BQWMuuVXhA84YFDXISIisqPY+Pvd2tr6ySPGhtiIOZJkWYbKpE3dyigNNe00revAtPjJixfh78qmqy1J/oYEk9clwLKY190vyUuuzhwdsm0LX8AmkOUjlOMnHAmQWxgiUppFQUUYx2dTs6SJB346j/lPVJNKeoNWf/iAAxj/8EMEp+1OqrmZ1WefQ8Odd2K8wVuHiIiIfGKAt6/eCdlx/p4d55Zv7kNOth/HscA2nP/v82lPtXHzETczpXASU+MxTltRw/u7lfD5twoIRps5+cqJlIwdi2VZW11Fy4ZOXnpgGTVLm5n3eDUfztvAYd+cwuiphYPyFfyjRjHuvvuovf56Wh9+hPrbfk3ngoVU/uLn+AoKBmUdIiIikjZyjiTh8WHAIzIpj7HTixg9tZDRU4oYO7mUhpw1fGAWUVAe5gtjCvlcXjYJY/jw0PRz4tYseeczAxJAflk2x1+0N0efM53svAAtGzr5+62LeOae9+mMDs4DbO1QiMobb6TixhuxgkE6Xn6Z6q98la5FiwZl+SIiIpI2Yvok/fWuw6hbWcUp+5RQFPAg2QVuF3+Kr+G/vXoO8wLcEQtBsosnwntwzoRLyUklOeeem5i61wz+40fX9Gu98c4kb/59BYtfWgsGgtk+DjhpItMPqcSyPztw9UVs2TLWXnwJiZUrweej7IeXU3D66X0KdCIiIjuyHaFP0ogJSQ/fdTBfWbP5HbTfD/g5ZVQFuSmPl1evwQFS2Hx+3/9jRXYVX3j1CQ74aCEX/OEBnAE8XHfDyigv/OUDGmraASgbn8fhp+1G8ejcbf1qAKTa21l/9dW0/etJAHKPPpqKG2/AyR2c5YuIiAwHhaQhkDmSdPeR5H58INMqy8jPjmBMAOMFSXk+nm1cjs/zMzN7ElkmC5O0eKSkg59OKCPS1sw599/Cqd89k9Gf/8qAavBSHotfXMubj60gGUth2RZ7fWE0+315PIHQtncLM8bQ/Jf72PDzn0MyiX/sGEbfeiuh3Xff5mWLiIgMB4WkIbBxI//9sXGMWf9VsDzAYDZ9tQxYHob0K5YhjsXZo86kxcnmjHW/59jEcxSPHYMp2Q0sC2NSYDwMHsZ4YFIYzFanp9wUHS1dxLsSWJaH7UBWng9/0Opu+8nnjEml6zMpyEzzAI/s7AkUFx1BcfEXyMvbC8tyAOh6913WXHIJ7rr1WIEAZVf/mPyvfU2n30REZKejkDQENg1J4XD/+qn/na/wV+s0xpiV/IzL2BGjht9fSFHRYRQXf4Giws9jtadY96MraH/xRQAiJ55I+TU/wc4e3Ps2iYiIbE8KSUNg40b+4x9OYLkTYe8xBewxqgCwu4/AWNR3NPDkiqcIWCGOHXscqRQE8NOx1OW0UV8mZvv5ztLfMif0DH63HSwHa/IxWBOPxHL83cuywbKxMu+dTd5/erpFyrX4cN4GPpxXj5eycByH3Q8exW77V+I4vk0+52BZVnetNuDR0rqAhoZ/09T0Eq7blvmuluUjPzKLoqIj8P27keh//R94HsHJkxh1220EJ0wYnp0gIiLSTwpJQ2DjRr7imhtYn8phQmGAsmybWCyWGba0CQ7d/xCeaM7nLxU+9qnv4o6iNibW3QPL/pluMGomnPRbKJky4Pqa1nfw4n3LWPdRCwAFFWEOP3U3Kifnf+ZnPS9Ja+sCGhr/TUPD83R2ftxjfsgqx/daG8F5cULrwlRcez2R444bcK0iIiJDRSFpCGRC0hVXEAwGt9jOWIa4FScvnEdhuJDa2loAxs/Yl/+XV0nKtrh7fhOzzz8Y5+NH4F8/gngr+ELwxWtg//PAHthtp4wxLHuzllcfWk6sPf0Q3qkHVXDQVyaSlRPo83I6O1fR2Pg8DQ3P09wyD2M+uTeT1QXBpRaF4QMZf/rPCeVUDqhWERGRoaCQNAQ2buTr7/wLr9TE2GtsCd8+fDdCoVCP4do3ruXx6se5bOZlnLnHmbz55pv861//AmDePoewIK+Yo9Yn+flaj7Lz98FJ1cNjF8LH/06vaOwhcNL/QMG4Adca60jy+qMfs+SV9ANsg2EfB31lErsfWNHveyu5bjtNza/S0PA8jY0vkEjU95ifG9qd4opjKC4+gtyc6ercLSIiO5QdISSNmDtul0+ZwQepMpYlC2n2FeGPlFBcXEJeXh6BQIDcYPq+QtFEFID999+fr371q9i2zcQP3wXguXIfqzuTNNy9mJSvFL71CHz5FvCHYdUr8JuD4K17YIC5MxT2c8S3pvKVy2dSNCpMvMPl+T9/wKO/WkDjuvZ+Lcvny6G05Bim7X4zhxz8GvvOepRR9on416RvOdAWW0p19a3Mn38ir756MEuXXkl9/TOkUp0Dql1ERGRXM2KOJD30+jIum/tRj3kBx2ZUQRajC7LozP4nHyYe4YDi47lwrx9SVZhNQbafjz/+mAcffJC5u82kpqic41e2cc0y8FeEKf72njhhPzRVw98vgFWvphc88Ytwwu0QGTXgulMpj3efW8O8f6zATXjYtsXeR1Ux69jx+IPOgJebXL+eVf/vAlqs94jv4ZHY08Fz3Mx82w6Qn78/xcVfoLjoCLKyqga8LhERkYHaEY4kjZiQtKGhibveWM/766LUNHeyriVGyvvkq/sLXyZU9gTJ1r2JrTsFgHDAoaowmwlZcZLxj3l8zwNwUi4PvNTA+EQYf2WYkm/viZ3tB8+DN38Lz10HbgyCETj2F7DXN2AbTmW1NcV4+cEPqX6nAYDcwhDj9iomGPYRCvt7Djk+gtl+glm+rZ6eM4kEdb/8JU1/+j+Mz8Cxk7BO3YOmzjeIxWp6tA2HJ1NcdARFxV8gkrcPtj1ynoksIiLDRyFpCGxpI7spj/WtMWqaO1nT1MW/1/6DV1t/Qzi1B6b2HDZE4z2Wk2d1kTqgiMa8AmatWML/+yjCGPJY5YdHJmdTXJJNVUE2U5z17PP2lfhrF6Q/OPXL6VNyOaXb9D1WLKrn5Qc/pL05/pltLQuCmfDk2+R9ejwU9hMM+/GWvkv093fgi9YTzA1SdfP12PuU09DwbxoaX6C19a3um1mm+XwRiooOpbjoCxQVHYrfn79N30lERGRLFJKGQF838nOrnuOSFy5h75K9+fOxfyaWTLG2pYuapk5qmrtY09TJm+0tvFGSRTCZ4LRXn+SYxD5MNPksIcWldLCx11DA9vhl5Qsc1/QnbC8J2UVw3K9g+knb9F0SMZcP522gvSlGrNMl1p4k1pEk3pnMvHcT3oCXb3lJggHILolQPCaXvY4swATeprHhBRoaX8B1WzZpbROJfK77tNzhhMNT1PlbREQGjULSEOjrRp63fh7nPH0OEyMTmXvS3F7bpIxh1kvvsN6DL733BhOb6/liagZj4gXU5TjcXeHjw9Yultel49Lu1ip+E76L8e6K9AL2+Boc+1+QXTjYXzPDTaaId7jEOpKZ4dPjsfYk8U438z7WkcRL9fLHwIJJM0vZ97jxFJSHaG1dSEPjCzQ2/Jv2jmU9moZCoygu+gLFxUeQn38AjrPl2y2IiIh8FoWkIdDXjby0cSkn/+NkSrNKee7k57bY7sIlq3hoQzP7L1vIPrWrsG2bI8yejO8qxgo4+EeFacsP8ExzO/etbmC9l+B7vkf4ru8xfHh4OWXYJ9wOU47ZHl93QIwxJOMp6h99gnW330WcIOvHHUFd3rR0Awsmzypj3+PGUVAeBqCray2NjS/Q0Phvmptfw/M+uSeTbWdRWHhwd1+mwwkFy4fja4mIyE5MIWkI9HUjr2lbw+xHZpPly2LeafO22O7O1XVc9/E6Jq94n2PefxM3L31U6BBnGlM7KjZrH/dZLDYua1K1zPb9mQnO61hWivZp3yTnhF9AaHh2/JbEPvyQtRdfQqK6mrbwKGr2nUMt6av0LAsm71vGvseNJ7/sk2fBpVKdNDW/TmPD8zQ0Pk88Xttjmbk50ykqPoLioiO6H8g7Yu48ISIiA6SQNAT6upFb460c8sAhACz41gL8jr/Xdi81tXHyOx9TGuvgjD/eRNZe+1GfTPcDmjphCqOySilO5JDX5MPUxuBTp7FckmRb7xFy3iPuX0Vir/2p3OsLWFX7QiA8SN9626TaO6j7+c20PPwIeB5tOaOp2f8salPpI0KWBVP2K2fWseN6hCVIH5Vqb19KQ/edv6PRRcAmVxH6iyguOpyi4iMoKjwEny93CL+ZiIjsLBSShkBfN3LKS7H3n/cG4IWTX6Aoq6jXdg0Jlz1efQ+Aig2rCcW7KC0fRXt9HUE32T0kCKVcynNzGJ0doYowVa1BStYYrK5Uj+UV+n9BtvMSxnKwKmbA2INgzIHpIdx7DUMlvqKahjvuIPrP9LPq2vLGULPfWdS66Sv1LNtit/3KmHXcOCIl6bCUSnlsWBGlZmkTq99vpLF2HXmj3qd09w9wchbhmY5N1mDjONk4TgjbTg+OE0y/2iFsJ4RtB7Ht4CbjIRw7uMn7dJuey9j4uRC20/3Z7nbqXC4isnNQSBoC/dnIB953IO3Jdh4/6XHGRcZtsd0R8z5gaUes37VYxiPLS5HjQW7coyBmkeW2UOotpNKtJ+K2k59sI89tJ99tIy+nkED5dJzKGfgq9sYXqcRn2/gtC8ey8KVi+Nrr8HXW4XPjOGMPBF8AYwydbic+20dwEDpQx5Yto/7222l/Nt1XK5o/njX7nUVtIh3iLNti8r6lJGMp1ixrJhlL9b4gy6Vowmoq9/oQJ/w2scTKba6tvzaGJ6c7QH06kG0axtLj6UCWCVpOd0jLvO9u58shECgm4C/AsgZ+s08REUlTSBoC/dnIRz90NOs71nPfsfexZ8meW2zX7qZ4p62TNRs28MzDD9COTTyYRWzjEAjh5kaIZeXQ5Q/QZftIDfDht/1iPCw8MCkgBSaFjcGxwLHAb1n4bZuA7RCwfQQdH1mOn+JAkLJggNKAn5KAj9KAn9JNXrMdGzzoWryYhv/5LR2vvwGWTXvBBNZ97ps0xiNYVvppLCnAn+2ncmo+VdOLqdq9kPbmGB+8vp6P5m8gsUmAqphiKBxtkVfskFNkkVNgEchO4XlxPC9Gyoul36dipLqnpd/Hut/HN3nfW5v0+Kb3etr+bAKBQgKBknRoChQTDJT0GA8ESwgGSvD5IjqyJSKyBQpJfbB27Vp+9KMf8a9//Yuuri6mTJnCH/7wB2bOnNmnz/dnI3/1sa/yYfOHHDnmSKYUTCESjJAfzCc/lJ9+7R6yfFmZH7eOlmbWLVtK3cqPqVu5grqVK2hvauyxXAMkfX5M2WjMqDF05RbQip9GN0XM7yPh8xP3BYj7/MR8WdhZ2bh+Hx0WuBhcLDzLwrPszKsZwh/XLNdQlDAUxT2K4ob8pEl/J9siaYNrQdIGg8VhdS4nrk1iATgWls/G8qcHHJuk69HZkaSryyVl0l22UqRvr+AZwGcTyPETyg8SLgyRW5JFTkkWvpAPy2/j5Afxl/Wv75bnJbtDVzpwZQJYKh2kNnufCWZbCmObt3HddpLJZjbtf/VZwuEpTJhwCSXFRyssiYh8ikLSZ2hubmafffbhiCOO4Pzzz6e0tJSPP/6YcePGMXHixD4toz8b+XvPfY8X1rzwmcsM2IEe4SkTprqHHDeIvyGOqYsSW9dA25p1tK6vxZhPbvToWD6OH/s9NjhR1tiNrLEbidpdPdaT72Uz3itjQqqMAtMzGHhAygLX7n61wLUsUtam0y3cTcY3nw9JyyLqt2gIWjQGLRoD3a9Bm4aARczX/x/vz9e5/OS9GAXJvv3RSlrQ4YNOx6LTZ2Xed/gsOh26p33yvisvQKIsi64sh4Btc0B+mEMLc9kjJwtnGMOG57kkk00kEg0kEvXEE/Uk4g0kkg0k4t3jiUYSiXpctzXzuby8GUyc8AMKCw8attpFRHY0Ckmf4YorruDVV1/l5ZdfHvAy+rORN3Rs4OlVT9Mca6Yl3tJjaI210hxvJuklB1RHMOVjVDyf8vYcCqI+nPouPpf6HKNDk/DwMMajw07S6I/REIjTGEhgNvm9LwxFmFo8niklEyjIjqSfzeZY6Vd74ytQ+y7W4gcg0YKFgd2OxtrjPyAQ7NFu4+eMBe2pDprjTTQlm2lz24km24gmo0TdKPXJDja4CdYl4tQmE7Tjw3XCGFJgXDBJqupT7L8sCXYB9x1zIkm/n+xYlNHehwT9+ficXCw7G88K4lp+4jh0YdHhebRjGNgW3VyBz+HgghwOLcjl8wW5jMsKYFkWyQ0biH/wAb6yMvwVFdh5ecN+5CaZbGX16rtZXXMPnpcOx4UFBzNx4g/Iy9trWGsTEdkRKCR9hmnTpnHMMcewZs0aXnzxRUaNGsV3v/tdzj333C1+Jh6PE49/8nyzaDRKVVXVoGxkYwxdbtcn4SnWslmYaom30BpvpTnWTGu8lZZ4C51uZ6/L8xmH3a2xTEqUU9KeRagxSWx9I4n2dozt4OZESOYVksrJg03uLZTrdxhbVsruU3ejtGos+eUV+IOhTxbc0Qj/+iG891B6PG8UHHwJfO508Gdt0zboTHZS21FLbUct6zvWs75jfXq8bT2l8z9mysIgd37te6yqHN3vZfvxCDs2eX4/uT6HHMch7NiEPHC6UtDm4tV1EWlNMArIS0Gr3+KNQoe3i310OT2Dz+iQn0Pzc9ntrt+w58vPU9AWBcAOh/FXVuCrqMBfWYm/ohJ/5cb3FfhKS7F8Q/Mg33iigZUr/4e1a+/HmHRcLCz8PDnhKYRCld3DKEKhUerDJCIjikLSZwiF0j/8l156KV//+teZN28el1xyCb/73e8444wzev3Mtddey3XXXbfZ9OHcyIlUokewaku0UZFTwcT8iZtdfWaMIdrQwC0PPs/7i5dS7jayR3YnzfFkOjCF89I3KgLwUviizfhbGohkhyiqqKSgYtQnQ+cy8l6/Aadjfbp9uBQOuhBmnQ3B7XN/Ii+RYMWD9/Kn91dRH8wmO9aFHbKo3S2XdYVdtMXqaYtvAK8Ly8SwvBiW14Vl4likO1g7lsP4yHh2L9yd3Qp3Y7eCqZQEx9PRFWBdS4x1tW1El7UwYU0nu6cssuz0acXFeTbP5NvMK/KxusiHZ/cMFJPW1bDPknfZ/72F7P3RUhxvC8+5cxx8ZaXd4SkdnPyVFd2vlfgqKnFyPrtfVFfKw29Z+OzPDjZdXTWsqL6N2tq5bKlfk+OEewan4KjMeG7uNBwnu9fPiYjsjBSSPkMgEGDWrFm89tprmWkXXXQR8+fP5/XXX+/1M9vzSNJQMsaw24+fJJHyePWKL1AasmiuXcfa6hUsXbaM1fWNxFKf/MhbiRjBhvX4WhvZ9CfZdhwieVkUmDoK7CYKAl0U5PooOPAUco64ECu7YLvU73V20vR//0fjXXfjdaTvjZS1zz6UXPQ9/PvNpL6rPn00qm0dKxqrWd20ktVtq1gVq6HTdPW6zMKkxaSEx9REnBnxDqbHY2S1hahPfAPH/wVCvvzMtlvuGZ7Ns3m/xMeKMj91+T2PDBXGWzlq9XyO/GgeMz5ahmn3SLYZkm2pdIevz2DnZOOvHIV/1Gh8FRU0jxnLR5VVfFw5hqU4vN/eRXVXnAK/w1mjijlzVDElgd5vULqpjo7lNDW9Qiy2jq7YWuLdr8lk41Y/5zg5VFT8B6NGnUZOePJnfwERkT4wrofbHMPEUvhH5aS7agwRhaTPMHbsWI466ijuvvvuzLQ777yTG264gbVr1/ZpGTvCRh6o/X/2LBuicR6/8BD2HB3pMc8YQ01NDQsXLuT9994jkUyfqskO+Cn3gWmopWX9OtxEvLdFA+CzPQpGj6egsoqCilFEysoASCVdUskEbiKBm0ySSiZIJZO43dMSiQTJRAI3kcTzPCx/ANsfwHZsHMvDsT18VoqsgEWW10X2/Pfwz/8Yy02nD6vcR9aeHrlFbeSadvzWJ5foG2CD4/BBIMCHtp918QDNXQGsTpviVkNJKxRHDcVRKIqCs8mfXqdkGoHJR+MrnZaZ1hzr4oOkj2qfRXWpnxXlfj4c5acr+Mnpy5xEB3s0LGefhmVMbqkhmMzDcQ22G8NOxLBi6YEucBMWdTlFrCkpZ3VpBTWllawsr6QtvPUjc44xfC7WyvFt1UxL1JCXaiZaMJ2mUV8kEMoiK+CQ5U8PPp9FbSrFymSS5fE4yzrjfNQZY3aBzeXlTcRia7uHdekw1bmSeGJDZl35+fszevS3KCk+Ctv2Z/68JBL1dHauoKNzBW6yldGjvzWi73jueYaUMbgpg+t5pDyD6xlSnsHv2BRk+3fK05vGM8SWNmGFHAKjc7CDQ3Pq+NO8ri6Sa9aQWLOGZM0a3OYmnHAYOycXOycHJzcHO3fj+1zIySJpR4nF12CMS0HBgZk/v9tcS8qjubYT27HIzgsQyPLtlPu2v9rcFFE3hc+y8FkWftvqfp++JYxlWRhj8NqTuE0xUk0x3MzQRaopRiqayBzcdgpD5B4yiuxZZdiB/t0Prq2pgSUv/pulr7xAMh4jv6yc/LJK8ssryC+rSL9+quvIjvD7vUOHpFNPPZWampoeHbe///3v8+abb/Y4urQ1O8JGHqjZt73M0vVRrj9pD/YcFSGZ8ki6HomURzJl0uMpj65YnIbqpTSteBcvmQ5FTk4h/tF74tlBUg2r8aJNWO3NWJ0tBLsaMckExnYwlg129y0FLBtj2+n+T7aVnpeZZmXmme75Pdpv+g+OMYDp/ouVfrUwYAyWMdjG4Et5+EgRdBL4vSQ+18VOejiJFMHOOJOXLSe7pf0zt5FrQ0MeNORZRMNgLIuc0GjG5R9JZe6+2N03dmzxuSx0U6yJpggbPytLfSytCvDBaB9dm/yIWMajuK2VimgjFS2NlEcb8aVSvDdqAitKKmkK55GyN//HwTIe+Z3tFLW3UtzeSlFHK4UdUdZHinh39CTqup/xBzCt8WMO2bAI207R5s9mha+SFb4KmgN5uEE/XtifvrHVp3mGg59cREWsjaJ4GwXxKAWxNvK7ouSUrsPeux5vame6Az9ARwAvOgryE1ihJixr8yN0fn8RluVgWTaW5et+dQAnve0y8xwsHAw2xrMwntP9auGlLMABY6cHbIxJj1smB9ubiO1NxkqNxng2xjNk5wWYemAFgVDff8DdlMcNTyyluqED1/NwUx45znr8dhtrOybiepDyvEzQ2Sz8pD4JQa7npW85sRUBx6YkN0h5JERZXpDS3FDmfVluiLJIiLK8EDl9CCGe5+J5XaRSse7Xru5bT/R8b1kOWdnjyM4aj9/f/3+vTMrQ/PCHdC6oS0+wwFeaTaAql8CYXAKjc/GXhbGc9I9jV1uUtoZ62poaKZswkdzC4r6vy3VJ1m4guWYNybVrSNTUkFyzlmRNDYm1a0k1NGz187FpHrG9PdwiQ6rYkCoENvmrlbUyzJiPjqL4zP/EN2ESdSvbWPdRM+3NcUJhP6Gc7qH7fSDoI9aRoKM1QUdLnM7WBB2tcdqb49TXtPW4ya3jt8nOCxCOBMjOC5IdCXSPB8nOC3SPB8nK8+M4g3uPu5TrkYi5JLpSJGIubjxFYWWYYPbgBMKNPuyIceT8ZSS28hPvGIPjgc90D57BybxPz/cZ8JH+D6kvtXHcIpjrEIo4+H0GHwY/XvrVeDh4+PFwUinaGpto2tBAW30TlpfC9lI4qRSheIzsrnayu9oJd7WT3dWJ3+cw5YBD2OuLxzBq6nTa2tqG/fd7hw5J8+fP56CDDuK6667j5JNPZt68eZx77rn8/ve/57TTTuvTMnbmkHTa3W/w6vKtn2bZlB+X6b4NTHdq8Vt9OGe0A/MnEsx66y3GNTal+wVVVuKrrMCuqCBRXEwsEqE9FKDNeHR2dNHe3k57WzttbW04jgNZsLazhryWADM7p1Ls5ZFtgjhZftaMCfFStINUdZKQU8dHY6KsKhxHTWEJrdmBzWtJpUg6n/zrHXRdytrbKW1vo7Q9SlF7lPzOKLbnksIjRarHlYkGqI0U8c7oSawsKu8ZKLf0/d0kxa3NlDfVUVlbw0v7HExbTh4n/+P/KG1YR9LnkHJ8YNL/kNle9z9iWS6hyXH8U+KYLAsP+5PBs0l2BEgQwp8bz0xP4fRst9m4Tar71WwyL/WpNlv+bDpcpYyD64Zxk9mYZJC8eIAp5eXsMbGEiqwAZQE/ZUEfxT4fne1tZGdn4/d/8sNx7+sf84fnn2JywcdMyl/B5IIV5AXSQfr2hd9mUX0frgo0hsJ4K6Nj9VTE66lINFAWb8IE4OHdDsMEIOiksK0kfjuJz3bxbxycJAE7QcBJEHSSBJwEATtBtt8lJ+iSE3AJB1xCTpKAHcchDqTvqWVwP7u2T3G6/PhbQ4QoJRzZjdyqmeSNO4Ds8HicT/VlbGnt4JXnF5L/ZgvjTATPGIyTxPE2//OcMklaExuoj62jIbaWxvh6ulJtZNkOR0UqCBoDSRfjuphUCuMm0+OpVHqam8Qkkrj19eBu/XvZubn4q0YTGDUap7gI09mF295G/ZTFtOzZy9mAJPgawS0AguDVFFH/7Gm0hqfhseUjF1kWhB0Lz6TPlnvGpF8hM80KOLgYUvH+/dto+yx8fgef38YXsPEFNr5Pvzob3wdsfH4HjCERS3UHITf9vsvNBKOUu/n6bZ/FuD2KmbxvGeP2KkovZxs9sK6RS5bVAGAZevybtEMyhqxYJwWtjYxZt4Jx7bXsXpnHef95lULS1vzjH//gyiuv5KOPPmL8+PFceumlW7267dN25pD0yII13PSvD4D0/2r9joXfsdODzybgWAR8dmZapo1JEmr8EKdxBXTfm8kKZGM7DpbtYDs+wqkWijo+wkcKHy5+XHzdgx8Xx7ZwfOnTaD5/CCeYhS8Uxh/KIZCVgz87QiC3gGC4AF9OIU64EEIRjBNMH771PIwxGGNIJpO0NzUQbaindUMtKxa8RX3NysyRqIDjIz8nQiA7B5MVog6baHd/q5JIHrZtEUskiSUSxJP9/7H5NMtY+LC7+25ZJCyXKW4lh7q7UxuyWFTg8FQ4xtLCIA0F6c7QxW1xjlzexLSGOJVdhpDlELAcgpZNsPt9wHIIYKfvPo7BxesOTR4pyyNOko/DhrljclieFyTLTZKVjBNIdOFPpoegG6egI0perLNH37Jnp85keVnVNn/3nYIx5KQ6yEu1UxKIU+i0EUyso9RaRYldTwFNFNBMHlHsjR3IfOOwnHIsEkACyySBBJgkxotDsgOTimFsj6381m5/HlgJsJIQTwRpTRXQ6hXQYvJpJZ/mYD5kGyaGljGZZYTp5cpYA1YsgtWeT7IuiKk1BJttCgo+T55vGnZXDvNrH2dV7CNCvhwKgxUUBSspClZQGKzAb2/+qKIut43G+HribTVUVC/Ba1mNibduvu5PsWzw51qQn0UsUk5n/lja8ybT7qui0e7EK2mizFdAVjCLUCibUDZ0Rf6XmPMOAMW+4wm600h2lBBrLCC6IUhrc5IO3weUHfJrnEAXXY3jqHnpEnwdKYqcJko/NwmvoIxYh0t7czOxhnUcZErx9eNxQK7x8IyHbVKYVCodqrpv1JvCJmXZuMbeLGi5xhDzoMt4xDyIG4h5kBjAr6gvYBMI+bBsi46WT7pFBEIOEz5XypR9yxi1WwF2H/sAGc/w0ZoWnlvVyIvtHczzeXT6LGavS3L94li6fgtwarCdD7DsGhrtTj5wcvnAqqTVzsPrPquQyty82Ma2PEJ2jDyrnSKriXyi2Iym0+xL0qrovkcftHst1CZqaXSbSFng2Q6ebWP7bfIjSYJZXbhBh66Aj5gvQJuVSysRouQTJS99huJT7PZm1p/wBYWk7WlnDknbqqWlhXfffZepU6dSWlrac6aXgsV/g1QCsgohq6Dn4A/1vtBB0lCziveef4YlL/2bru5L8zcyWCSKK0gUV/R+1MXzsNwklpvEdhNYye7X7mlYFp4/gPEH8fwBPH8Q4w9g/Jv/r3qjzyXGMrYzm7ZkE82JOj5uW0jKuHQFs4jm5lPSuAHb9O1/oAE7i5CTTcgJE3SyCTnZBJ0wIXvTaWGyfDk4Vs9TNUlcuqwEnSTosOI02m3UWa0sLArwr+n74toOFp+ctrSMwTJge+mjSbbndU/3sLwUlvGwvRSWSWVe09M+aed4No7n4HgePssiZZJ4VoqUlcJ1PFzbh0n58ZIOVsrgGJfsZBej2+oJuCmCSZdgMkkwmQRjSDkpXNsjZadwHYPreCQdD3JS+HJTBMIp/DkBkln5tDl5NFNIMwU0U0gr+Xh9/LGzPI/cVDvFvjryu4NTAU3kdy8tnyZKqSO7t6DRzXhgUhZeysZLWRjPxkvZmVfPszEpG8+z8FIOJuWDlA9cP5gApALg+UkkU8SSSZJJiw4nQps/n7ZAhGggn9ZQhLZALh2BbDp9ITqDITqCWST9Wz+9YhnDBNPGlPYVlMfWMNW3kIrwMpxA7xc2fPKdLJKdDl0dQUzcxiQCpBLZeMkwqUQu/lQxYVNCrldEnhchz8vB7+ZgpYJYm0TzuJeiLZWg3U3Q5sVoScVx81eSNfoD3JSPhBcgngpix4rwdZWQ5+VQ0jWKcp+fUC8/7LGc1azb+3aS2fVYqQDl751D3ob9t/g9mnNXUj/rvzH+dnJW7AN3rqDd7xDNCpAsrcKXPYqcYBkloSpKQulbjrQlm7BxcCwHp/uUsW2l/3O4Ja4FLf700wMswDbpYeN7i/QpKGMMdXYL1fYGVtt1GONRZHIoSIUp8rKJJP3kJn04qSSuGyVpWjG0ErTiZDs+AnYg/ZBtOwvLCmORxJ+aj/EvoyY0iQ/sffnIm0KLEybmt4j7LeJBMGGwsixS/nQ3hywLQhaEfRDAIohFY8ri1YDNmuyeQaMgnuKyd9dTXmto9jxavBSe7WKF2ukMNhKzNj5w3JAVcplYlUXStNARb8C2WwkF2wkGOwkEOwkEOrEsgzF25lQ7KRu/CRIkG8vzYRkHk7JJpOLgQdCfRSJ3DZ5/639mPWzayKWFfFYygSXswfvsSWNnkPrjP6+QtD2N5JC0M0i5ST5+ex5LXnoeNxEnKzcPY9L9l9pdj2gy1d3JMH1e3G+n/8FKPyvOdPd/+uR9uhtU+ghWj+nGYDxDivTjT7K9fHwmSIfVSZwu/CZGIhWnLR6lvauDLrcL0x1AIH2Xdceyu7tY9VxXj/fd6zQWJHyQ8BuSPj4Z/BaJ7vcpG8JWmGx/HgUmjyI3QlEqQlEql6JUHkVuHjkmfV8rD0Or1UG9HaXeilJvR2m02jHW5n99fVhk41LktTPJtDHO30l2lkcgBHHb4q/RdpY2eUxqG02+U0q2P0KOL5+wL4LfDtAc38A7Tc/DJt8JNvYr2zi2yXo3aeN3U4TjCaauayTopjKfiYVCNJQUU19SQn1JCa7fDxgCwU5ycprICTeRm91EVk4L0VQeDbFi6imjwamkxRTQanJpSwaJ+vJoD+fSmZWT7g/XB9mJDvI7W4l0RYl0thPpaievs4u8rjiBlIexrT6dAm0PZtGaFabTH6QzEKIrkH7tDATpCoToCISI+QN9WtZGvpRLdiJOViJGdiJOdiJG0vFRm1dINDtns/b5nTF2a2pgasd6prmrGedfQ1ZOHDfURHOwgw9CZXxoT+VDprKcyWQR49v8hpm89Zm1GM/Bbqwgr+YwShoOw6Hnfyo6ihazdu/bMM6Wj+Zabojs5t0INk4l2TQJt2kCnR5YlW/C3n8EXwI6SrAXfI9krIqY36Iz4NHp9+gIQJcfYo6N6wvS4bNpiqyjKX8trgnieUFc4+Dhw7PSx71TON2Dj6SBBJDCh4UhlOrqHmKE3C5CqU6CbpwuJ5s2f4Q2f4RoIEK7P6fXoxj9ZXX/pwXS/25s/M+MBWAMdnebjQHMWBZxx4c7iH2ebM+jLNpEVdMGqprrKG5vxcIjEOjKhJ1goPOT98EOgv5OAsEubGf7ddGwUn6CbWMJtY4nFB1PqHUcjpuNsVMYy8XYnxosF892WYbLf1z+fYWk7UkhSQaiy+1ifu18fvDiD+hyt/6/oP5yLAef7ftksHz4HT9FoSJKs0spyy6jLFxGaXYp5b5SStxCCuK5+Bo6SL31OKmGNlxTQtwqpd74qbPbu8NT62aPtoH06cUCE8bDELMSxEhC33/HtwvHg7yEQyTpEEn6yEk62FiZIxnpK48sGgNJPsjrwLUNjmexe1sufs9hcV4rrVl+OgPpozKd3SElPZ5+bQ9mEQtsfmppU4FkgkhXB5FYB3mdHeQmEqR8AVwnQNLnJ+H4ift8tAaDbMjdPLT0xjKGvIRLJO5SmPAojHvkxWKEuqIEOlvwdTYRiEXJSibwGwOOQ8q28Rwbz7ZJOen7fnUGgtRGiqiNFLI+r4iG3MhmP+bZSY8prXHWZSWoy87tcdPZTX0u9neOiN1Htu0RtMF2LLJsyLINWY7Hp58+lOxyWB4dTXz9DCraJzE6J4q7558wTpKspt1wOkuJ+2J8GCok6rPp9Nl0+KHL8dNFNp3dQ4fJpSOVR9Jnd4/nECOr14sfhpNlUvhxMVh4WOkLFLAGJTz1iTEE3CTBVJJgKoE/6RJ0XQJuMj3dTRJIJbGNIWXZpGwH4/cI5Ubxh9sJOTFKG6JUta0jL9BCMNBJINhBMNhFINCF1ct/pnopAbfTIdnhJ9HhI9nhJ9nhI9mRhduRhdcewp+AgOkglZ1FPFJAPDcbN2SwHA/L9rAtD8tK3x+ukBAFJkxj3URM83hcVmG5H1MQzyInGSLLC2A5ITqDDnXhJBuyO+n0JaH73wELi3g8zo//6xqFpO1JIUm2RUNXA6+vex3LsvDZPvyWv2fA+XTYsbcwv3ueYzvY2/IPrzHw5u9g6WNw1PWYis+RakuQaomRaonTUtvIstXLWN+4gZZ4O62mi7jVy//8DYTwkWU7+O0UWC5YCVLJMF53Z1+DyRwv2vjObHxv9Zy2cWxL0/w4lHoRyr18KrwCCkxOplfYZ+kgxvOB96m1WzK1b/pRx9j4cQgYH358Pd57tp+WrDDNWVk0ZYWozwpRlx2gNttPYz+urAOwjUdpR5xQp0O4y5ATM4RjHnmxBONSK5jmvcu01GoiqSAf+SbSwThGx0eR6/UtXG3KYIiTpMXqZJmzlo98tSRth7q8AtZHiqjNK2RDXiFJX89Tdnld7ZS3NlHR2khZtImlFWNZPHoSAKVtTZS3N2PFXZy4S9DtIOC24fcaCdFE2NfK+II6phTWEsyKpesw0NBSQWFeHY6ToqFhNB8sPZSYHeLxGQfTkJvf7+/2yZc0BFKfBAF/yiWYjBOMx8iOt5PjtpHttRH0RzFBF9sJ4xAg6muh0VePsRM4uPi7jyXlWCkKDRSSIs8z+AmACZIiQJQwjeTRSg7BVBd5qRbyTCt5XisR00yu1YYv4OELpfCFXByf170f6A5O3aEJuztEfRKkPCxiHX462oK0dQSJxkLYQZeCki7yc1PpK4WxSLg+utwwlpVPVrAImxD+ZCNBdwPZNODztWH709vdcwMkW6pobymjtjGL+sYYvkSSYDxFQaSNksn15I1rwXL69vNtUt0BqN0h2eGQ6LRJdNrEOm2aPZu1Ppt628Iji6ApJtutIJIYTVHXBMJu0daXjYfrbyMRaCUZaCEZiMKnLhyy3SCBRAGBeAH+RD4pJ0Yi1Egi2Ijr79jCktP3Pbz55psVkrYnhSQZyTZ0bODlj19mwccLWNayjJJICd/f7xImlUzECW7eJyaxrp22F2owbjoIWRbpjjuem35Wn+eCl8TraMck4jjhQLqTtJce2tu7qNnQiYXBZ3v4bA+/7eKzXPwk8JEkYKfS02w3fTqu+yeHXob0/4ANnu1jnp3D64QwWExzPA7Psgk4fhyfH5wAOD7wBbAcP3RPs/w+rCw/dnYAOxzEDmdh52ZjZWcR82WzyvOzMmlTHU9R3RWnMemmH43jc8h1HPJ86SHiczggP4figA83kWLNsmZWLW5k5XsNtDf1vBdZYZmfcRNtRo1K0tYYo2mtR1eDg+kIkGPZ5DkQtDe5EgsPx0rgs7twaMfHOkL2KkLWclJeLTHTxAeBqTTahbj4SOLDxSGOn3U5pazOLSPgulS0NhJMJHHx9bgS7OPiSl7YbZ/NAtWn+VIuWYk42ckYEVooCaynNLiePFrIpwVa/dR9uDsBN8VT0/ejNlKM302S39WRDjrJBIFkgmCii2C8i2Cyi7xAK5GsFmi1cBtC+LuPiviNhw/S+ykQxOv3fxwMfpI4JHGsJGETJ9R9BaHp8aeqe7D8mKwCTFYBnuWQ6IqRcpOkUh6JlLvZ7SBs28Xvj1NV5GNcZQ7BbIMdSGD5YmB3Yax2UqaVWLyGZLJpq5UmPAhs4wGpjhQsjzsU+jyqAp8UWx2zaY76mRjyYcUK8DoraE8aVvnWUB2K0mj7aPV8dKQcEimLlGeBsTGpLCyTRVFWhLEFRUwuLqEwK0JeII/cQG7mNTeQiy8WwmoI0bI2Rt2qNhrWtOP4bCKlWURKsoiUZNNAisc+ruNrnx/HARMLWL9+PdXV1Xz88cfU1NTgbenpBgBYFOaUUFEylpKicmzbwnS04jXX075uFSdc90OFpO1JIUlkB5JyIdGeHuLtEG+DRFv6QgJ/NgSy068bh0A2+EKZfj7r1q2jvr6ePffcE7uPfZK2J2MMTes6WLm4gVXvNVL7cStb+xc1EHIorsqlZEz3UJVLfnl2zyuYjAE3lt4+qUR3AE1BKpkJqVsctyzIH4MXGYNrB3FdF9d1WdUZ44XmduoSLg1Jl0bXo9H1aEp5NHmw5VvOblkw3sUpj/2B0sbaXudbtk04v4CcwiJyCorSr4VF5BZufF9Mflk5tuPgeR5dXV1s2LCBtWvXsn79etrb20kkEiTiMRKxrvT71Pb7ufL7/YTDYcLhMLm5uRxwwAGMGzfuMz+XTDbT0fExHZ0f09n96thZFBYeTE7+/tR0dbKkbgEL185nbcsSLLOBPJ9LtmXo8CzaPIu2VHpoaZtM8/ovMzpcx275q5hasIopkVWEfInM+hIpH2/W7s2/1xzM6mgV6cO6Nt1dzbdaa9Bnc/huJRy3VyVfmFrap3t8bat4PM6qVatYsWIFH3/8MfX19fj9fiZOnMjUqVOZPHky4XDvj3naEX6/FZJERAZJrD3J6iWNrFzcSN3KKHklWZRkQlEOeUVZQ/pYh77qcFPUJ13qEy5/vu2/aDYWHVk5dGTn0Lnpa1YOyUCQ7K4OznjraaZbbib8ZEJQdyDKzs/HHuS+R57n4bouiUSCeDyeDk4bnwLQ/dQBq/tO0n0ZfD4f4XCY7OxsAoEtX/06qN/BeCxcu4rHlixm4boVTKyIE8pOPxj9wn0uZEr+VBIpj3jSI+56xJNx2treo6NtPikTwISOIWFyibup7vke8ZRHPNk97nrpeclP3tuWxecnF/PF3cuGJBhtTWdnJ36/v8c90LZkR/j9VkgSEZGMBf96jA9efbHXo0A5hUU4kQLC2WH8O2DYk13LjvD7rZAkIiIiO5wd4fd7+E/qi4iIiOyAFJJEREREeqGQJCIiItILhSQRERGRXigkiYiIiPRCIUlERESkFwpJIiIiIr1QSBIRERHphUKSiIiISC8UkkRERER6oZAkIiIi0guFJBEREZFeKCSJiIiI9EIhSURERKQXCkkiIiIivVBIEhEREemFQpKIiIhIL3zDXcD2ZowBIBqNDnMlIiIi0lcbf7c3/o4Ph10+JDU2NgJQVVU1zJWIiIhIfzU2NhKJRIZl3bt8SCosLARg9erVw7aRJS0ajVJVVUVNTQ15eXnDXc6Ipn2xY9H+2HFoX+w4WltbGTNmTOZ3fDjs8iHJttPdriKRiP7A7yDy8vK0L3YQ2hc7Fu2PHYf2xY5j4+/4sKx72NYsIiIisgNTSBIRERHpxS4fkoLBINdccw3BYHC4SxnxtC92HNoXOxbtjx2H9sWOY0fYF5YZzmvrRERERHZQu/yRJBEREZGBUEgSERER6YVCkoiIiEgvFJJEREREerFLh6Tf/OY3jB8/nlAoxMyZM3n55ZeHu6Sd2k033cS+++5Lbm4upaWlnHTSSSxbtqxHG2MM1157LZWVlWRlZXH44Yfz/vvv92gTj8f53ve+R3FxMeFwmBNOOIE1a9b0aNPc3Mzpp59OJBIhEolw+umn09LSsr2/4k7rpptuwrIsLrnkksw07YuhtXbtWr71rW9RVFREdnY2e++9N2+//XZmvvbH0HBdlx//+MeMHz+erKwsJkyYwE9/+lM8z8u00b7YPl566SWOP/54KisrsSyLuXPn9pg/lNt99erVHH/88YTDYYqLi7noootIJBL9/1JmF/XAAw8Yv99v7rrrLrNkyRJz8cUXm3A4bFatWjXcpe20jjnmGHPPPfeY9957zyxatMgcd9xxZsyYMaa9vT3T5uabbza5ubnm4YcfNosXLzbf+MY3TEVFhYlGo5k25513nhk1apR55plnzIIFC8wRRxxhZsyYYVzXzbT50pe+ZPbYYw/z2muvmddee83sscce5stf/vKQft+dxbx588y4cePMXnvtZS6++OLMdO2LodPU1GTGjh1rzjzzTPPmm2+a6upq8+yzz5rly5dn2mh/DI0bbrjBFBUVmX/84x+murra/O1vfzM5OTnm1ltvzbTRvtg+/vnPf5qrrrrKPPzwwwYwjz76aI/5Q7XdXdc1e+yxhzniiCPMggULzDPPPGMqKyvNhRde2O/vtMuGpP3228+cd955PaZNnTrVXHHFFcNU0a6nrq7OAObFF180xhjjeZ4pLy83N998c6ZNLBYzkUjE/Pa3vzXGGNPS0mL8fr954IEHMm3Wrl1rbNs2Tz75pDHGmCVLlhjAvPHGG5k2r7/+ugHMBx98MBRfbafR1tZmJk+ebJ555hlz2GGHZUKS9sXQ+tGPfmQOOeSQLc7X/hg6xx13nDn77LN7TPvKV75ivvWtbxljtC+GyqdD0lBu93/+85/Gtm2zdu3aTJv777/fBINB09ra2q/vsUuebkskErz99tscffTRPaYfffTRvPbaa8NU1a6ntbUV+OQhwtXV1dTW1vbY7sFgkMMOOyyz3d9++22SyWSPNpWVleyxxx6ZNq+//jqRSIT9998/0+aAAw4gEolo/33KBRdcwHHHHceRRx7ZY7r2xdB67LHHmDVrFl//+tcpLS1ln3324a677srM1/4YOocccgjPPfccH374IQDvvPMOr7zyCsceeyygfTFchnK7v/766+yxxx5UVlZm2hxzzDHE4/Eep8D7Ypd8wG1DQwOpVIqysrIe08vKyqitrR2mqnYtxhguvfRSDjnkEPbYYw+AzLbtbbuvWrUq0yYQCFBQULBZm42fr62tpbS0dLN1lpaWav9t4oEHHmDBggXMnz9/s3naF0NrxYoV3HnnnVx66aX8v//3/5g3bx4XXXQRwWCQM844Q/tjCP3oRz+itbWVqVOn4jgOqVSKG2+8kW9+85uA/m4Ml6Hc7rW1tZutp6CggEAg0O99s0uGpI0sy+oxbozZbJoMzIUXXsi7777LK6+8stm8gWz3T7fprb323ydqamq4+OKLefrppwmFQltsp30xNDzPY9asWfzsZz8DYJ999uH999/nzjvv5Iwzzsi00/7Y/h588EHuvfde7rvvPqZPn86iRYu45JJLqKysZM6cOZl22hfDY6i2+2Dtm13ydFtxcTGO42yWGOvq6jZLl9J/3/ve93jsscd4/vnnGT16dGZ6eXk5wFa3e3l5OYlEgubm5q222bBhw2brra+v1/7r9vbbb1NXV8fMmTPx+Xz4fD5efPFFfv3rX+Pz+TLbSftiaFRUVDBt2rQe03bffXdWr14N6O/GULr88su54oorOOWUU9hzzz05/fTT+f73v89NN90EaF8Ml6Hc7uXl5Zutp7m5mWQy2e99s0uGpEAgwMyZM3nmmWd6TH/mmWc46KCDhqmqnZ8xhgsvvJBHHnmEf//734wfP77H/PHjx1NeXt5juycSCV588cXMdp85cyZ+v79Hm/Xr1/Pee+9l2hx44IG0trYyb968TJs333yT1tZW7b9uX/ziF1m8eDGLFi3KDLNmzeK0005j0aJFTJgwQftiCB188MGb3Q7jww8/ZOzYsYD+bgylzs5ObLvnT5vjOJlbAGhfDI+h3O4HHngg7733HuvXr8+0efrppwkGg8ycObN/hferm/dOZOMtAP7whz+YJUuWmEsuucSEw2GzcuXK4S5tp3X++eebSCRiXnjhBbN+/frM0NnZmWlz8803m0gkYh555BGzePFi881vfrPXSzxHjx5tnn32WbNgwQLzhS98oddLPPfaay/z+uuvm9dff93sueeeI/rS2r7Y9Oo2Y7QvhtK8efOMz+czN954o/noo4/MX/7yF5OdnW3uvffeTBvtj6ExZ84cM2rUqMwtAB555BFTXFxsfvjDH2baaF9sH21tbWbhwoVm4cKFBjC/+tWvzMKFCzO33hmq7b7xFgBf/OIXzYIFC8yzzz5rRo8erVsAfNr//M//mLFjx5pAIGA+97nPZS5Vl4EBeh3uueeeTBvP88w111xjysvLTTAYNIceeqhZvHhxj+V0dXWZCy+80BQWFpqsrCzz5S9/2axevbpHm8bGRnPaaaeZ3Nxck5uba0477TTT3Nw8BN9y5/XpkKR9MbQef/xxs8cee5hgMGimTp1qfv/73/eYr/0xNKLRqLn44ovNmDFjTCgUMhMmTDBXXXWVicfjmTbaF9vH888/3+tvxJw5c4wxQ7vdV61aZY477jiTlZVlCgsLzYUXXmhisVi/v5NljDH9O/YkIiIisuvbJfskiYiIiGwrhSQRERGRXigkiYiIiPRCIUlERESkFwpJIiIiIr1QSBIRERHphUKSiIiISC8UkkRERER6oZAkIpu59tpr2XvvvTPjZ555JieddNKw1bO9vfDCC1iWRUtLy3Zf16e3rYjsuBSSROQz3Xbbbfzxj38c1GWOhLBgWRZz587tMe0HP/gBzz333PAUJCL94hvuAkRk+0gkEgQCgUFZViQSGZTlCOTk5JCTkzPcZYhIH+hIkshOoK2tjdNOO41wOExFRQW33HILhx9+OJdcckmmzbhx47jhhhs488wziUQinHvuuQD86Ec/YsqUKWRnZzNhwgSuvvpqkslkj+XffPPNlJWVkZubyznnnEMsFusx/9On24wx/OIXv2DChAlkZWUxY8YMHnroocz8jaevnnvuOWbNmkV2djYHHXQQy5YtA+CPf/wj1113He+88w6WZWFZ1laPVN1zzz3svvvuhEIhpk6dym9+85vMvAMPPJArrriiR/v6+nr8fj/PP/88APfeey+zZs0iNzeX8vJyTj31VOrq6ra4vt6Oct16662MGzcuMz5//nyOOuooiouLiUQiHHbYYSxYsCAzf2Pb//iP/8CyrMz4p5fteR4//elPGT16NMFgkL333psnn3wyM3/lypVYlsUjjzzCEUccQXZ2NjNmzOD111/PtFm1ahXHH388BQUFhMNhpk+fzj//+c8tfj8R6RuFJJGdwKWXXsqrr77KY489xjPPPMPLL7/c4wd5o//6r/9ijz324O233+bqq68GIDc3lz/+8Y8sWbKE2267jbvuuotbbrkl85m//vWvXHPNNdx444289dZbVFRU9Aghvfnxj3/MPffcw5133sn777/P97//fb71rW/x4osv9mh31VVX8ctf/pK33noLn8/H2WefDcA3vvENLrvsMqZPn8769etZv3493/jGN3pd11133cVVV13FjTfeyNKlS/nZz37G1VdfzZ/+9CcATjvtNO6//342fVb3gw8+SFlZGYcddhiQPqp2/fXX88477zB37lyqq6s588wzP2Orb11bWxtz5szh5Zdf5o033mDy5Mkce+yxtLW1AekQBemAt379+sz4p91222388pe/5L//+7959913OeaYYzjhhBP46KOPerS76qqr+MEPfsCiRYuYMmUK3/zmN3FdF4ALLriAeDzOSy+9xOLFi/n5z3+uo1Uig8GIyA4tGo0av99v/va3v2WmtbS0mOzsbHPxxRdnpo0dO9acdNJJn7m8X/ziF2bmzJmZ8QMPPNCcd955Pdrsv//+ZsaMGZnxOXPmmBNPPNEYY0x7e7sJhULmtdde6/GZc845x3zzm980xhjz/PPPG8A8++yzmflPPPGEAUxXV5cxxphrrrmmxzq2pKqqytx33309pl1//fXmwAMPNMYYU1dXZ3w+n3nppZd6fKfLL798i8ucN2+eAUxbW1uPepubm7dY2y233GLGjh27xWW6rmtyc3PN448/npkGmEcffbRHu08vu7Ky0tx444092uy7777mu9/9rjHGmOrqagOYu+++OzP//fffN4BZunSpMcaYPffc01x77bVbrE1EBkZHkkR2cCtWrCCZTLLffvtlpkUiEXbbbbfN2s6aNWuzaQ899BCHHHII5eXl5OTkcPXVV7N69erM/KVLl3LggQf2+Mynxze1ZMkSYrEYRx11VKZ/TU5ODv/3f//Hxx9/3KPtXnvtlXlfUVEBsNXTXJ9WX19PTU0N55xzTo913XDDDZl1lZSUcNRRR/GXv/wFgOrqal5//XVOO+20zHIWLlzIiSeeyNixY8nNzeXwww8H6LEd+quuro7zzjuPKVOmEIlEiEQitLe392uZ0WiUdevWcfDBB/eYfvDBB7N06dIe07a2LS+66CJuuOEGDj74YK655hrefffdgX4tEdmEQpLIDs50n0ayLKvX6ZsKh8M9xt944w1OOeUUZs+ezT/+8Q8WLlzIVVddRSKRGHA9nucB8MQTT7Bo0aLMsGTJkh79kgD8fn/m/cb6N36+P+u66667eqzrvffe44033si0O+2003jooYdIJpPcd999TJ8+nRkzZgDQ0dHB0UcfTU5ODvfeey/z58/n0UcfBdjidrBte7Pt++l+XGeeeSZvv/02t956K6+99hqLFi2iqKhoQNu2t3376Wlb25bf/va3WbFiBaeffjqLFy9m1qxZ3H777f2uQ0R6UkgS2cFNnDgRv9/PvHnzMtOi0ehmfVZ68+qrrzJ27FiuuuoqZs2axeTJk1m1alWPNrvvvnuPwAFsNr6padOmEQwGWb16NZMmTeoxVFVV9fl7BQIBUqnUVtuUlZUxatQoVqxYsdm6xo8fn2l30kknEYvFePLJJ7nvvvv41re+lZn3wQcf0NDQwM0338znP/95pk6d+plHs0pKSqitre0RlBYtWtSjzcsvv8xFF13Esccey/Tp0wkGgzQ0NPRo4/f7t/od8/LyqKys5JVXXukx/bXXXmP33Xffao2fVlVVxXnnnccjjzzCZZddxl133dWvz4vI5nQLAJEdXG5uLnPmzOHyyy+nsLCQ0tJSrrnmGmzb3uxow6dNmjSJ1atX88ADD7DvvvvyxBNPZI6ibHTxxRczZ84cZs2axSGHHMJf/vIX3n//fSZMmLDFen7wgx/w/e9/H8/zOOSQQ4hGo7z22mvk5OQwZ86cPn2vcePGUV1dzaJFixg9ejS5ubkEg8HN2l177bVcdNFF5OXlMXv2bOLxOG+99RbNzc1ceumlQPoI2oknnsjVV1/N0qVLOfXUUzOfHzNmDIFAgNtvv53zzjuP9957j+uvv36rtR1++OHU19fzi1/8gq997Ws8+eST/Otf/yIvL6/Htv3zn//MrFmziEajXH755WRlZW32HZ977jkOPvhggsEgBQUFm63r8ssv55prrmHixInsvffe3HPPPSxatChz+rAvLrnkEmbPns2UKVNobm7m3//+d79Dloj0Ylh7RIlIn0SjUXPqqaea7OxsU15ebn71q1+Z/fbbz1xxxRWZNmPHjjW33HLLZp+9/PLLTVFRkcnJyTHf+MY3zC233GIikUiPNjfeeKMpLi42OTk5Zs6cOeaHP/zhFjtuG2OM53nmtttuM7vttpvx+/2mpKTEHHPMMebFF180xmzeEdoYYxYuXGgAU11dbYwxJhaLma9+9asmPz/fAOaee+7Z4vf/y1/+Yvbee28TCARMQUGBOfTQQ80jjzzSo83GjuGHHnroZp+/7777zLhx40wwGDQHHnigeeyxxwxgFi5cuMV677zzTlNVVWXC4bA544wzzI033tij4/aCBQvMrFmzTDAYNJMnTzZ/+9vfNtsHjz32mJk0aZLx+XyZz36643YqlTLXXXedGTVqlPH7/WbGjBnmX//6V2b+xo7bG2s1xpjm5mYDmOeff94YY8yFF15oJk6caILBoCkpKTGnn366aWho2OL2FJG+sYzppWODiOzQOjo6GDVqFL/85S8555xzhrscEZFdkk63iewEFi5cyAcffMB+++1Ha2srP/3pTwE48cQTh7kyEZFdl0KSyE7iv//7v1m2bBmBQICZM2fy8ssvU1xcPNxliYjssnS6TURERKQXugWAiIiISC8UkkRERER6oZAkIiIi0guFJBEREZFeKCSJiIiI9EIhSURERKQXCkkiIiIivVBIEhEREenF/wfHXtbW0Ydw0QAAAABJRU5ErkJggg==", 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" ] @@ -1637,12 +1640,12 @@ " continue\n", "\n", " if val.dtype == np.int64:\n", - " data_json[name] = list(int(x) for x in val)\n", + " data_json[name] = [int(x) for x in val]\n", " continue\n", "\n", " data_json[name] = list(val)\n", "\n", - "with open(\"radon.json\", \"w\") as file:\n", + "with Path(\"radon.json\").open(\"w\") as file:\n", " json.dump(data_json, file)" ] }, @@ -1663,7 +1666,8 @@ ], "source": [ "%%time\n", - "out = !./radon_model sample num_chains=10 save_warmup=1 data file=radon.json num_threads=10" + "out = !./radon_model sample num_chains=10 save_warmup=1 \\\n", + " data file=radon.json num_threads=10" ] }, { From eb5d5e8bb13e1309c65cf2ffe258a78bdc1f5d3c Mon Sep 17 00:00:00 2001 From: Juan Orduz Date: Tue, 24 Dec 2024 09:51:07 +0100 Subject: [PATCH 3/3] remove notebooks --- notebooks/pytensor_logp.ipynb | 2516 --------------------------------- notebooks/pytensor_logp.md | 338 ----- 2 files changed, 2854 deletions(-) delete mode 100644 notebooks/pytensor_logp.ipynb delete mode 100644 notebooks/pytensor_logp.md diff --git a/notebooks/pytensor_logp.ipynb b/notebooks/pytensor_logp.ipynb deleted file mode 100644 index 94661ef..0000000 --- a/notebooks/pytensor_logp.ipynb +++ /dev/null @@ -1,2516 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "cbb5b010-3da0-4977-a7b2-40fec12aa47a", - "metadata": {}, - "source": [ - "# Usage example of nutpie" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "ddb42730-494f-4441-a470-b46fb17b1e9a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "env: RAYON_NUM_THREADS=12\n" - ] - } - ], - "source": [ - "# We can control the number cores that are used by an environment variable:\n", - "%env RAYON_NUM_THREADS=12" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "ca59ab20-067a-4ef7-a30d-28e152a2a625", - "metadata": {}, - "outputs": [], - "source": [ - "from pathlib import Path\n", - "\n", - "import arviz\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import pandas as pd\n", - "import pymc as pm\n", - "import seaborn as sns\n", - "\n", - "import nutpie" - ] - }, - { - "cell_type": "markdown", - "id": "a2efe1bd-54a4-4d2a-bda4-b62febfaa413", - "metadata": {}, - "source": [ - "## The dataset\n", - "\n", - "We use the well known radon dataset in this notebook." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "621fae01-707c-4ed1-a6f7-1389fcd88aa9", - "metadata": {}, - "outputs": [], - "source": [ - "data = pd.read_csv(pm.get_data(\"radon.csv\"))\n", - "data[\"log_radon\"] = data[\"log_radon\"].astype(np.float64)\n", - "county_idx, counties = pd.factorize(data.county)\n", - "coords = {\"county\": counties, \"obs_id\": np.arange(len(county_idx))}" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "c012b756-e71b-46df-9975-9e7eb1891733", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "sns.catplot(\n", - " data=data,\n", - " x=\"floor\",\n", - " y=\"log_radon\",\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "c3756a28-d5cd-4de2-9457-62ca1f14849a", - "metadata": {}, - "source": [ - "## Use as a sampler for pymc" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "ec2780f2-aba3-4ee1-b3c3-de8342ee04e3", - "metadata": {}, - "outputs": [], - "source": [ - "with pm.Model(coords=coords, check_bounds=False) as pymc_model:\n", - " intercept = pm.Normal(\"intercept\", sigma=10)\n", - "\n", - " # County effects\n", - " # TODO should be a CenteredNormal\n", - " raw = pm.Normal(\"county_raw\", dims=\"county\")\n", - " sd = pm.HalfNormal(\"county_sd\")\n", - " county_effect = pm.Deterministic(\"county_effect\", raw * sd, dims=\"county\")\n", - "\n", - " # Global floor effect\n", - " floor_effect = pm.Normal(\"floor_effect\", sigma=2)\n", - "\n", - " # County:floor interaction\n", - " # Should also be a CenteredNormal\n", - " raw = pm.Normal(\"county_floor_raw\", dims=\"county\")\n", - " sd = pm.HalfNormal(\"county_floor_sd\")\n", - " county_floor_effect = pm.Deterministic(\n", - " \"county_floor_effect\", raw * sd, dims=\"county\"\n", - " )\n", - "\n", - " mu = (\n", - " intercept\n", - " + county_effect[county_idx]\n", - " + floor_effect * data.floor.values\n", - " + county_floor_effect[county_idx] * data.floor.values\n", - " )\n", - "\n", - " sigma = pm.HalfNormal(\"sigma\", sigma=1.5)\n", - " pm.Normal(\n", - " \"log_radon\", mu=mu, sigma=sigma, observed=data.log_radon.values, dims=\"obs_id\"\n", - " )" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "568a027c-6a26-40c0-be5d-43f86a363760", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 16.2 s, sys: 356 ms, total: 16.5 s\n", - "Wall time: 17.8 s\n" - ] - } - ], - "source": [ - "%%time\n", - "# The compilation time is pretty bad right now,\n", - "# I think this can be improved a lot though\n", - "compiled_model = nutpie.compile_pymc_model(pymc_model)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "fce139e7-1cd5-458c-b4db-7ab33c7e341b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "\n", - "\n" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "\n", - "
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\n", - " " - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 5.16 s, sys: 53.3 ms, total: 5.21 s\n", - "Wall time: 758 ms\n" - ] - } - ], - "source": [ - "%%time\n", - "trace_pymc = nutpie.sample(compiled_model, chains=10)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "f8d44413-b50d-4a1b-8008-10f0c5fb4790", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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wuKNqh/M1TXMdAi897G0ymcoc9jYajeUOe5/6c+nzpx/mLj18fvqh7tP/Zs/n77f08VM/A07fj3Ot40z7X9FyZ/ucquizqKLPt0aNGtGxY8czbtud6lxQ22w2PvzwQ1577TUGDhxY5rkbb7yRhQsXnldQnkl4eDgrVqxg0KBBrrA+9QvB2YwfP54333yTN95445zLlp5PcidN07j00kvduk7hZLPZKjxHnZubS1ZWlqszWUZGBmlpaRw/fhyr1YpmLQBrgWtWp1MpvRHlF+w8V20KPiXIQ3AEhIPOQ6NW6d3zsbFkyRK+++47t4U04KzNW64XVwpsReiK85wdysocti48eX66EO08z6kHBQVRr1496tWrR3h4uKszWWmHspCQENf56aCgIAICAvDz85Ne43VAnQvqJUuWkJWVxd13343ZbC7z3E033cTcuXOrFdQAZrOZ5cuXM3jwYFdYx8XFnfN1/v7+TJ06lQceeKBa2xfex2AwlLuC4GwcDgeZmZmkpqa6Ls0q/Tc1NZXMzEw0uxWtKAtdUfmjQErT4QishyM4CntIfeyhDcFYO9flKr8gCjsNr/Z6tBJnxyllCnZ2mHMDT/SCdym9tjr/+MkRzTLOuyVc2rs7Ojoah8OB2Wzm4osvJiYmhujoaOrVq0dgoHt+R8L31Lmgnjt3Lv379y8X0uBsUb/wwgtkZmZWezuhoaH873//Y8iQIa6wPh+jR4/mtddeY8eOHdWuQfgunU7nutymffv25Z4vKipyXUd9/Phx0tLSXNflJicnk5eXh74gHX1BOsZjO1CAIygSu7mh85xlcFTNXU+s6dxyCZQyhUBIfTcU5CEOO7qCdOeAJzkp6PLT0Sh/yDY6OpoGDRoQHR1d5tKq0uun69WrR1BQEJqmyVjfokIyKYePkEk5RCmlFEePHmXXrl3s3LmTv/76q1ynFmXwP2X40IbeczjYl1mL0RdkOFvMeWno8o+hOexlFomLi6N9+/a0bduWtm3bEh8fj5+f33lvQoJaVKTOtaiFqOs0TaNhw4Y0bNiQfv36AZCRkcGff/7JunXrWL9+Pfn5+Rgz9mLM2OuakMMe4ewl7K2d1LyKw4Gu8AS6/GPo846jKziOzpJfbjGz2Uznzp25+OKL6dat21kHShKiqqRF7SOkRS3Ol81mY8uWLfz222+sWbOmzKWEStNhN8dhq9cce0TjMw+kciGyWTBkJaPPOog+J6XcVJfgbDG3bt2aDh060LFjRxo3buzWzlrSohYVkaD2ERLUoiqUUuzfv5/Vq1ezcuVKDhw48M9zBn+s0YnYotvUzhjh3kgpdLkpGNO2O+ehPuXjMDg4mLZt27oOZSckJBASUrPDk0pQi4pIUPsICWrhDvv37+enn35i+fLlHDt2DACFhi2yOda4iy6cwHbYMKTvxZi2HV1xtuvhpk2bcsUVV3D55ZfTsmXLWh8OU4JaVESC2kdIUAt3stls/Pbbb3z55ZeuqVuVzoC1QSesse09d412TXPYMBzfhfHoFnTWQsA5RvaQIUO4/vrrK5xhrzZJUIuKyAkqIS5ABoOBXr160atXL3bt2sWbb77Jtm3b8DvyJ4b0PVia98Lhy5dOnc5udQZ06lZXQEdHRzN8+HCuvPJKgoIukCMJwidJUAtxgWvVqhWzZs3ixx9/5O233+bEiRP471xKSaOLsdVvC748spWtGGPaDozHtjsnsADq16/PqFGjGDJkSKUunRLCUySohRBomsbAgQPp0aMHL7/8MitXrsR0aB36vGNYmvUEvW8FmmYpwJi2FcPxXa7e2w0bNuSWW25h8ODBGI1yXbnwHRLUQgiXoKAgnn32Wdq1a8fs2bMh8wC6oiyKEwe5ZTSymqYV52I8uglDxt9oygFAy5YtufXWW+nVq5ec8xU+SYJaCFGGpmkMGzaM1q1b88wzzzgPhW//FkviIBxBkZ4ur2IOG8ajmzEe3YKmnKOFde7cmVtvvZWLLrpIJqYQPk2CWghRoXbt2vHOO+/w+OOPc+DAAfx3LMHSsh/2sOrPje5O+uzD+B38HZ0lD4CuXbsyZswY2rZt6+HKhHAPmWlcCHFG9evXZ9asWXTr1g3NYcN/93IMx3d5uiwn5cCYvAH/3f9DZ8kjMjKSZ599ltdff11CWtQpEtRCiLMKDg7m5ZdfZsiQIYDCdGANxiMbnfMte4qtGNPu5filbgacM+N9/PHH9O3bVw5zizpHDn0LIc7JYDAwadIkIiMj+eijj/BL2YhWUkBJ0x41N53mGWiFmfjv+RGdJQ+TycQTTzxB//79a7UGIWqTBLUQ4rxomsbYsWOJiopi+vTpGNN3o9mKsbToU2uTe+hyUvDfuwLNbiU2Npb//Oc/tGjRola2LYSnyKFvIUSlXHfddTz33HMYjUYMWYfw37UMbCU1vl3D8d347/4fmt1Kx44dee+99ySkxQVBgloIUWlXXHEFr776KoGBgejz0vDfuRSsRTWzMaUwHt6A6cBqNOVgwIABvPbaa5jN5prZnhBeRoJaCFElnTt35o033iAsLAx94QkCdixBs+S7dyO2Ekx7luN31Nlp7Pbbb+fpp5+WoT/FBUWCWghRZYmJicyaNYv69eujK87Bf8d3aEXZblm3VpRNwPb/Ysg+jNFo5KmnnmLMmDHSq1tccCSohRDVEh8fz6xZs2jUqBG6kgICdixBV5BRrXXqT+wjYPt/0RXnEBUVxaxZsxg0aJCbKhbCt0hQCyGqLTo6mpkzZ5KQkIBmK8Z/51J0OSmVX5HNgunvlfj/vRLNbqVDhw7MmTOHVq1aub9oIXyEBLUQwi3CwsKYMWMGHTp0QLNbCdi1DGNK0nkPjKLPPkLA1q8wnNiHTqfjjjvuYMaMGURERNRw5UJ4NwlqIYTbBAcH89prr3HVVVcBCr8jf2Ha/b+z9gjX5afjv/N7/HcvQ1dSQMOGDZk1axZ33XUXBoMM9SCE/BUIIdyqdLSwDh068Prrr0POEfSbFmM3x2GLaIwjJAatOBdd4Qn0uWkYspMBMBqNXH/99dx1110EBgZ6eC+E8B4S1EKIGjFkyBASExP597//zf79+zFkHcSQdbDccpqmMXDgQO666y5iY2Nrv1AhvJwEtRCixjRr1oz58+ezZ88eVq9eza+//srBgwdp0KABLVu2pGXLlvTo0YPmzZt7ulQhvJYEtRCiRmmaRmJiIomJiYwZMwabzSbnnoWoBOlMJoSoVRLSQlSOBLUQQgjhxSSohRBCCC8mQS2EEEJ4MQlqIYQQwotJUAshhBBeTIJaCCGE8GIS1EIIIYQXk6AWQgghvJgEtRBCCOHFJKiFEEIILyZBLYQQQngxCWohhBDCi0lQCyGEEF5MgloIIYTwYhLUQgghhBeToBZCCCG8mAS1EEII4cUkqIUQQggvZvB0AUKIusdut3Pw4EH27NmDv78/iYmJxMbGommap0sTwudIUAsh3CY5OZmPPvqIX3/9laKiojLPhYWFceONNzJixAhMJpOHKhTC90hQCyGq7dixY8yZM4cVK1bgcDgA8NcrmoTYsDg0kvP0ZGdnM3fuXJYuXcr48ePp2bOnh6sWwjdIUAshqsxqtfLZZ5/xwQcfUFxcDECXyBKuaVpMs1A7upNHuq0OWH/Mj0//DiAtLY2nnnqKkSNHcs8996DX6z24B0J4PwlqIUSVrF+/njfffJPk5GQAEsKs3JZQRNNQe7lljTroEVtC16gSvtofwPfJ/nzyySccOnSIZ555hqCgoNouXwifIUEthKiUw4cPM3v2bH777TcAQo0ORrQsomdsCefqK+ZvgFsSimgSamPOjiB+//13JkyYwOuvv47ZbK6F6oXwPRLUQojzkp2dzQcffMA333yD3W5HrykGxFm4vlkxQUZVqXVdFmOlfkAer20KZu/evTz44INMnz6d8PDwGqpeCN8l11ELIc7KZrPx5ZdfcsvIkXz55ZfY7XY61rPywqW5jEosqnRIl2putvNU1zzMfg7279/PhAkTyMzMdHP1Qvg+CWohxBlt376dsWPH8sYbb5BfUEDjYBuTuuTxWOd8GgY5qr3+hsEOnu6aR7jJwaFDh3jsscfIz893Q+VC1B0S1EKIcqxWK3PmzOGBBx5g3759BBkc3NmqgOcuyaNdhM2t24oNcvBU1zxC/Rzs3buXSZMmYbFY3LoNIXyZBLUQoozDhw9z33338dFHH+FwOOgRY+HVy3LpF1fiutzK3WICHTzROZ8Ag2LLli1MmTIFm829XwiE8FUS1EIIlx9//JExY8awZ88ego0OJrTP5752hYT4Ve08dGU0DrHzSMd8jDrF77//zptvvolSNb9dIbyd9PoWQlBcXMybb77JkiVLAGgdbuX+dgWEm2o3KFuF27i/XQFvbgnim2++oX79+tx66621WoMQ3kZa1EJc4P7++2/Gjh3LkiVL0FBc37SIyV3yaz2kS10UbWVUgnOc8HfffZcff/zRI3UI4S2kRS3EBcput/P5558zZ84crFYrYX4O7mtXQFs3dxarikGNLKQX61iW7M+0adOIiIiga9euni5LCI+QFrUQF6ADBw5w//33M3v2bKxWK50jS5h2aa5XhHSpW1oWcXF0CTabjaeffpq///7b0yUJ4RES1EJcQPLy8pg1axZ33303O3fuJNCguLt1ARM7FtRKh7HK0Glwb9sCWoVZKSgo4LHHHiMlJcXTZQlR6ySohbgAWCwW5+hit9zC4sWLsdlsdIks4cVLc+jT8NxjdHuKnx4e7lhAXJCdEydO8NBDD5GWlubpsoSoVXKOWog6zGKxsHTpUhYuXEh6ejoADQLt3JpQSMdI7znMfTZBRsWkLnk8/1cIaceO8fDDD/Pmm28SFRXl6dKEqBUS1ELUQTk5OXzzzTd8+eWXZGdnAxBucnBNk2L6NLRg8LFjaWEmxeSTYZ2SksKECRN49dVXadiwoadLE6LGSVALUYekpaWxePFili5dSnFxMQCR/nauamyhd0MLRh8L6FPV81c82SWfFzYGk5KSwv3338/LL79MYmKip0sTokZJUAtRBxw8eJCFCxfy448/4nA4J8toHGLjqsbFXBJtRe/DAX2qqAAHU7rl8UpSMIeyspgwYQJPP/00PXv29HRpQtQYTckYfT4hNzcXs9lMTk4OoaGhni5HeAGlnONif/7556xevdo13Ga7CCtXNy6mbYTNazuJVVehDWZsDmZHlhGAm2++mXvvvReDwbfbHna7ndWrVwPQs2dP9Hq9hysS3sC3/1cLcQFKS0vjt99+Y+nSpWWuLb4oqoShTYtpFmr3YHW1I9AAj3fO59O/A1iW7M9nn33G1q1beeyxx2jRooWnyxPCrSSohfBiFouFgwcPsmfPHnbv3s22bdvYv3+/63k/neKymBIGNyomLrj680P7EoMORiUUkRhmY86OIHbu3MmYMWMYNmwYd9xxB0FBQZ4uUQi3kKAWwks4HA7279/P1q1b2b59O7t27eLIkSOuc86lNBQtw2x0i7JyRYMSgo0X9tmri6KtNAvNYeGeQNYf92Px4sV8//33DBs2jBtvvJGQkBBPlyhEtcg5ah8h56jrpry8PNavX8+6devYsGEDmZmZ5ZYJNjpoHGKnaYidpqE22oTbvG4UMW+xOcPAx3sCSS10ntsNDAxk0KBBXHfddTRt2tTD1Z2bnKMWFZGg9hES1HWD3W7n77//ZsOGDWzYsIEtmzdjP6XFbNIrEsw2Wpy8NQqxE+an6mynsJrgULD+mJFvDgRwpOCfoOvQoQNXXnklvXv3JjAw0IMVnpkEtahIHblow+n3339Hr9czePDgMo8fPHgQTdOIjo4mLy+vzHOdOnXi2WefLfPY9u3bufnmm4mKisJkMtGyZUueeeYZCgsLyyzXpEkTZsyY4bqvlOKRRx4hJCSEn3/+ucyy99xzD3q9nk8//bT6Oyp8Rl5eHn/++Scffvghjz32GEOHDmXs2LG89957JCUlYXc4aBhk56rGxTzZJY93e2XzRJd8bmxeTMdIG+EmCenK0mlwaYyVaZfmMqlLHt2iStBw9pB/8cUXuf7663juuef4/fffsVqtni5XiHOqU+eo582bx/jx43n//fdJTk6mUaNGZZ7Py8vj1VdfZerUqWdcx7p16+jfvz/9+/dn6dKl1K9fn/Xr1/PII4/w888/s3LlSvz8/Mq9zm63M3bsWL777jt+/vlnLrroItdzhYWFLF68mMcee4y5c+cyYsQI9+208ApKKU6cOMG+ffvYu3ev63bkyJFyy/rrFW3CrbSrZ6NjPSv1A2u3E5jdAZkW7/yOHmFyuO2ab02DdhE22kXYyCzWWJPmx69HTaQVFvPjjz/y448/EhQURNeuXbnkkkvo0KED8fHx6HTe+bsRF646E9QFBQV89tlnbNiwgbS0NBYsWMC//vWvMsuMHz+e119/nQceeIDo6Ohy61BKcffdd9O6dWu++uor1x9s48aNSUhIoHPnzkyfPp0nnniizOssFgsjR45kw4YN/Prrr7Ru3brM859//jlt2rRh8uTJxMbGcvDgQZo0aeLeX4CoFRaLhfT0dFJSUjhy5AiHDh3i4MGDHDhwgJycnApfExVgp3monZZmGy3DbDQOtnt0AJJMi46HfzN7roCzmN4jh6gA939xifBXXNPEwtDGFvbl6vk9zY8/jvmRU1DAr7/+yq+//gpAUFAQCQkJNGrUiPj4eGJjY4mKiiIyMpLw8HA5FC08os4E9eLFi0lMTCQxMZFRo0Yxfvx4nnnmGbRTjhuOHDmSH3/8kX//+9/MnDmz3Do2bdrEjh07WLRoUblv1R07dqR///588sknZYI6Pz+fq666isOHD/Pbb7+Va8UDzJ07l1GjRmE2m7nyyiuZP3/+WVv1wn2UUpSUlFBUVEReXp7rlpubS25uLgUFBRQXF1NUVERJiXPuY6vVit1ux2q1UlxcTGFhIQUFBWRmZpY7dXLa1ogJdBAfbKdRsI1GwXYah9gJPq3jl1WB1YOXOlu8+DJrix2Ka7i+uGA7N7coYljzIg7m6tmWaWR7loFDuQYKCgpISkoiKSmp3Os0TSMsLKzMLTQ0lLCwMMxmM0FBQQQHBxMYGEhAQAD+/v7lbtJaF1VRZ4K6NAwBBg8eTH5+Pj/99BP9+/d3LaNpGi+++CJDhw7l4Ycfpnnz5mXWsWfPHoByLeJSrVu3Zs2aNWUee+655wgJCWHHjh0VttL37t3LunXr+OqrrwAYNWoUEyZMYMqUKWf9o7VYLFgsFtf93Nzcs+1+pS1ZsoSXX37Zreu8UPjpFNEBDqID7EQHOFh22P/kMxpphXrSCvVsOF7+9EhdNnToUIYPH87ixYtZsmQJVe2jOmmdd7b0wfmlLysri6ysLE+X4lZ33HEHt99+u8+P6laX1Ymvd7t372b9+vWuc78Gg4Hhw4czb968cssOGjSIyy+/nGeeeabS21FKlWmhAwwcOJCCggJeeOGFCl8zd+5cBg0aRGRkJABXXnklBQUFrFix4qzbmjZtGmaz2XWLj4+vdL1nUlBQICF9BjpNEaBXhJscxAQ6D1dfHF3C4PhixrQu4PmLc3m3dzYvds9lYqcCbmpR5OmSvcLw4cNp1KgRw4cPr3JIC89YsGCBq5EivFOd+Ao1d+5cbDZbmSnvlFIYjcYKv/2++OKLdO/enccee6zM4wkJCQDs2LGDTp06lXvdrl27aNmyZZnH+vXrx4QJE7j22mux2+289dZbrufsdjsffvghaWlpZb6t2u125s6dy8CBA8+4T5MnT2bixImu+7m5uW4L66CgIKZMmcIrr7xSrif7hc6hNIrsUGR3fiFLq2AZDUWESVE/0E5MgIORLQtpGGgnLrj8YW5vlFGkc3vLdfHixa4WtaZpVQ7rFy/NIbIGzlGfD4sNDuUZOFyg51ihjmNFek4U68gq1mFx1N2u9w888IDMQOblfD6obTYbH374Ia+99lq54LvxxhtZuHAhV199dZnHL774Ym644QYmTZpU5vFOnTrRqlUrpk+fzogRI8ocmt68eTMrVqxg2rRp5WoYMGAAS5YsYejQoTgcDmbOnImmaXz//ffk5eWRlJRUphPKrl27uPXWWzlx4gT16tWrcL9MJhMmk6nSv4/z1a9fP/r161dj6/cmpeepCwoKyM3NLXOeuqCggKKiIoqKirBarVitVmw2m+tctcVioaCggIKCArKysjhx4gRWq5UTFo0TFh07TvseGG5ynDw3baNJiJ0moXai/B1edYmVqQb6Qy1ZsoTvvvuuWiENztr8a6m/ltUBu7MNbDlhZNsJA4fz9SjO/EYFBgYSHh5OREQE4eHhrnPToaGhhIaGEhQURFBQkOsc9annqf38/ModjauIXEctKuLzQb1kyRKysrK4++67MZvLthJuuukm5s6dWy6oAf7zn//Qtm3bMi1dTdN4//33GThwIDfeeCOTJ08mJiaGP/74g0ceeYTu3bvz0EMPVVhH3759Wbp0KVdffTVKKWbNmsXcuXO56qqr6NixY5ll27Zty0MPPcTHH3/Mgw8+WP1fgjgrTdNcX3wiIiKqta7S85Slvb6Tk5M5cOAABw4cIDU1lSyLjiyLjs0njK7XhBgdNDul13cLs61GwvJ8RZgcTO9RcQ/1qsq2aGQU64j0dxBmqnpQR5hqtjVtd8COLAO/p/nxV7qRQlvZs39RUVHlen1HR0dTr149rx0kRdR9Ph/Uc+fOpX///uVCGpwt6hdeeKHCYRkTEhK46667eO+998o83qNHD9atW8fUqVO58soryc3NpVGjRowePZrJkyeftZXbu3dvvv/+e6666iqKiopYunQpixYtKrecpmnccMMNzJ07V4Lax2iaRkREBBEREbRv377Mc4WFhezbt4+///6bvXv3smfPHvbv30+e1cbmE/+Et0FzjtXdLsJGp0grjYLttdri1utw+yVQUQHQEu/tTp5WqGPVUT/WpJrIOuUa8oiICC655BIuvvhiOnbs6OpLIoQ3kSFEfYQMIeqbSkpK+Pvvv9mxYwfbtm1j69atpKenl1kmwuSgU6SVjvWstImwEuDzX5+9g90BGzOM/HTExLbMf45wmM1m+vTpQ9++fenQoYNXXTIlh75FRSSofYQEdd2glOLIkSP8+eefrF+/nj///LPMZXh6TdE01P7PWN/BdmICHei86By3t7M5YHWqH98e8Ce92Bl0mqZxySWXcOWVV9KjRw+MRuM51uIZEtSiIvLdXYhapGka8fHxxMfHc/3112OxWNi4cSN//PEHf/zxBykpKfydY+DvnH/+NI06RXywc/asJqE22tezEukv369PpxSsO2bk072BnDh5eNtsNjN06FCGDh1KbGyshysUomokqIXwIJPJRPfu3enevTsAR48eZdu2bWzbto1du3Zx8OBBiouL2Z9rYH+uAVKcfSQaBdvoFm2ldwMLERLapBXqWLAr0HWIu169eowcOZJrrrkGf3//c7xaCO8mh759hBz6vjDZ7XaOHj3K3r172b17N9u2bWP79u04Tk6NqdcUF0VbGdKomOZm7+3MVZNWH/Vj/q5AShwafkYjo267jZEjR9bo5Y01RQ59i4pIi1oIL6bX612Hyvv27QtAdnY2a9euZenSpWzZsoV1x/xYd8yPdhFWrmlSTOtwm1ddt11TSuzwwe5AVh11BnLnzp159NFH3TqKnxDeQFrUPkJa1KIie/fu5fPPP+fHH3/Ebne2qJuH2ri6STFdo6x1thNaXonGq5uC2ZdrQNM07rzzTm677Tafb4FKi1pURILaR0hQi7NJS0tj0aJFfP/995SUlAAQE2hnSKNiesaW4FeHPu8zinS8lBRMaqGekJAQpk6dSrdu3TxdlltIUIuKSFD7CAlqcT6ysrL44osv+Prrr8nPzwcg1OhgSONiBsRZ8Pfxk11HC3RM2xhClkVHdHQ0r776ap2a212CWlREgtpHSFCLyigsLGTp0qV8/vnnpKU5pxYJNjq4qnExg+ItPtnCPlao4/m/nCHdpEkTXn311QqnlvVlEtSiIhLUPkKCWlSFzWZjxYoVfPjhhxw5cgSASH87I1oWcUm01Wc6nWUU6Xjur2BOFOtp0qQJb775JmFhYZ4uy+0kqEVFvGfsPCGE2xkMBgYPHsyHH37I5MmTiYqKIqNYz8ytwUzbGMyxQu//CMgt0XgxyRnS8fHxTJ8+vU6GtBBn4v1/pUKIajMYDAwZMoSFCxdy1113YTKZ2JFlZPK6UL4/ZMLhpcfViu3w2qZg0gr1xMTEMH369DNODStEXSVBLcQFxN/fnzvuuIMPPviALl26UOLQWLQ3kBc3BpNZ7F3Hwe0OmLk1iH25BkJDQ+vkOWkhzocEtRAXoAYNGjB9+nQeffRRAvz92ZFl5Mk/Qvkr3Tsmq1AKFuwOZFOGH35+frz44os0atTI02UJ4RES1EJcoDRN45prruH9uXNJSEgg36pj+uZgPtodgM2901VX2rcH/VmZYkKn0zFlyhTatWvn2YKE8CAJaiEucPHx8bz99tvcfPPNAPzvsD9T/wzhuIc6mq1J9ePzfQEATJgwgZ49e3qkDiG8hQS1EAKj0ci4ceOYNm0aISEhHMg18OQfoaxK8aM2L+DcesLAnB2BAIwYMYIbbrih9jYuhJeSoBZCuPTo0YN58+bRoUMHiu0ac3YGMWNLECdqoaPZ3zl6ZmwOxq40+vbty7333lvj2xTCF0hQCyHKqF+/Pm+88Qb33nsvBoOBv9L9eHytmSUHTTV27vpwvo5XkoKxODQuuuginnrqKXQ6+XgSAiSohRAV0Ov13HLLLcyZM4d27dphsWt8+ncgk9aF8udxo1sPhx/O1zHtrxAKbDratm3L888/j9HoHb3PhfAGEtRCiDNq3rw5M2fOZPLkyYSHh5NWqGfGlmCe+yuY/bnVH97yYK6e//wVQq5VR8uWLXnppZcICAhwQ+VC1B0S1EKIs9LpdAwZMoRFixZx2223YTKZ2JNtZMr6EObsCCSnpGrnr3dmGXhhYwj5Vh2tW7dmxowZMo69EBWQoBZCnJegoCDGjh3LwoULGThwIAqNVUdNPPqbmeWHKzcM6c9H/HhxYzCFNo127drx+uuvExISUnPFC+HDJKiFEJUSHR3N008/zaxZs0hMTKTIrvHh7kCeWR/CzqyzT3hdYNWYuzOQebuCXL27X3/9dYKCgmqpeiF8j0xz6SNkmkvhjex2O9999x3vvfce+fn5ALQOt3JNk2ISw2yuea8LbbA2zTmQSb7V2T64++67uf3229F8Za7NWiDTXIqKnP3rrxBCnIVer+e6666jV69ezJ8/n6VLl7IzC3ZmGdFrirhgOxa7RlrhP4HTpEkTHnzwQbp27erByoXwHdKi9hHSoha+4NixYyxcuJBffvmF7OzsMs81aNCAm266ieuuuw6DQdoIFZEWtaiIBLWPkKAWvkQpxbFjx9i9ezcBAQEkJCQQFhbm6bK8ngS1qIh8rRVCuJ2macTExBATE+PpUoTwedLrWwghhPBiEtRCCCGEF5OgFkIIIbyYBLUQQgjhxSSohRBCCC8mQS2EEEJ4MQlqIYQQwotJUAshhBBeTIJaCCGE8GIS1EIIIYQXk6AWQgghvJgEtRBCCOHFJKiFEEIILyZBLYQQQngxCWohhBDCi0lQCyGEEF5MgloIIYTwYhLUQgghhBeToBZCCCG8mMHTBQgh6i6bzcaqVavYuHEjhw8fJiUlBaUU9evXJyYmhk6dOtG/f3+CgoI8XaoQXktTSilPFyHOLTc3F7PZTE5ODqGhoZ4uR4izKioq4rvvvuPzzz/n2LFjZ13W39+fvn37cuuttxIfH19LFXonu93O6tWrAejZsyd6vd7DFQlvIC1qIYRb7d27lylTpnDkyBEAlEmhmigwgwpWoAGFoOVpaIc0ivOK+f7771mxYgVjxoxh2LBhElBCnEKCWgjhFkopvvnmG2bOnInVakUFKFQbhWqs4PTcjQCFQrVScAJ023WUHC9h9uzZrFq1imeeeYYGDRp4ZD+E8DbSmUwIUW02m41XXnmF6dOnO0M6VuEY4EA1qyCkT6UBkeC4woGjqwNlVGzfvp2xY8eyYcOG2ipfCK8mQS2EqBaLxcKUKVNYsmQJaODo6MDRwwGmSqxEA9VM4RjoQEUo8vLyeOyxx/jkk0+QbjTiQidBLYSosoKCAh577DFnBygd2LvbUQknz0NXRSA4ejtwNHHgcDh4++23+fe//01RUZFb6xbCl0hQCyGqJDc3l4cffphNmzaBAew97dDQDSvWg+qmcHR2gAY//fQT9913HykpKW5YuRC+R4JaCFFp2dnZPPTQQ+zatQvlp7D3tkO0GzeggWqhsPeyo0yK/fv3M2bMGFatWuXGjQjhGySohRCVkpGRwfjx4/n7779RJoWjtwPCa2hjUTg7pdVTFBQU8MwzzzBjxgwsFksNbVAI71OloO7duzcffvihnDcS4gJz9OhRxo0bx6FDh1ABCkcfB5hreKMBJ89bJzoA+Oqrr7j//vs5dOhQDW9YCO9QpaDu2rUrjz/+ODExMYwdO5Z169a5uy4hhJc5ePAg48aN4+jRo6igkyEdUksb14HqoLBfbkf5Kfbu3cvYsWNZunSp9AoXdV6Vgvq1114jJSWFDz/8kPT0dK644gratGnDq6++es7hAoUQvmfr1q2MGzeOjIwMVOjJkPbE8NyxOC/hilYUFxfz0ksvMXXqVPLy8jxQjBC1o8rnqPV6Pddeey3ffPMNKSkp3HLLLTzzzDPEx8dz3XXX8fPPP7uzTiGEh6xcuZKHHnqI3NxcVMTJc9IBHiwo4OQAKe2dvcJ//vln7r77brZt2+bBooSoOdXuTLZ+/Xr+9a9/8eqrrxIdHc3kyZOJjo5m6NChPProo+6oUQjhAQ6Hgw8++IApU6Y4RxtroHD0quRAJjVFA9VKYe9jRwUp0tLSGDduHPPmzcNqtXq6OiHcqkqzZx0/fpyPPvqI+fPns3fvXoYOHcqYMWMYNGgQmuYc6WDFihVcd9115Ofnu73oC5HMniVqU2ZmJs8//zx//vknAI4WDlSnagxkUpOsoG3U0CU72x0tW7bkySefpHnz5h4urPJk9ixRkSpNyhEXF0fz5s256667uOOOO4iKiiq3zMUXX8xFF11U7QKFELVrzZo1vPrqq2RmZoIeHJ0dztmvvDGkAYygLlE4GjjQNmqujmY33HADo0ePJiSktnq8CVEzqtSiXr16NT179qyJesQZSIta1LSjR4/y5ptv8vvvvwM4O41dWguXX7lTMej+0qEddX6rCDWHcsfoO7j66qvx9/f3cHHnJi1qUZEqnaOeMmUK2dnZ5R7Pzc2lb9++1a1JCFGLMjMzeeutt7jtttucIa2BI9GBo5+PhTSAPzh6OLD3tKNCFbk5ubz55psMGzaM+fPnV/i5JYS3q1KLWq/Xk5qaSnR02TEDjx8/TsOGDaUzRw2QFrVwt6ysLD799FO+/vpriouLAVDRJ8fYrgv/xRygHdDQdmtoBc4WttFopFevXlx33XW0b9/e1afGW0iLWlSkUueot2zZAjgniN+xYwdpaWmu5+x2O8uWLaNhQ3eMyi+EqCkZGRl8+umn/Pe//3UNxakiFI62DqiP956LriwdqOYK1VShpTgD25plZcWKFaxYsYKmTZty7bXXMnDgQIKDgz1drRBnVKkWtU6nc30DrehlAQEBvPXWW9x1113uq1AA0qIW1ZeRkcGiRYv49ttvKSkpAUCFKxxtHBBL3Qnos8kEbb+Glqyh2Z077O/vT//+/bn22mtJTEz0aHnSohYVqVSL+sCBAyilaNasGevXry/T29vPz4/o6Gj5jyWElzl69CiLFy9m6dKl/wR0vZMBXZda0Ocjwnn0QHVQzrDep1GcW8ySJUtYsmQJrVq14uqrr6Zfv34EBXli6DUhyqvSOWpR+6RFLSrD4XCwdetW/vvf//Lzzz/jcDgntFD1Th7ijubCCugzUUCGs5WtO6ID568Jf39/+vTpw6BBg+jUqRM6Xe1MNCgtalGRKl1HDbBnzx5++eUXjh8/7voQKPWvf/2r2oUJISrHbreze/dufv/9d3788UdSU1Ndz6n6yjn7lAR0WRoQBSpKYe9kRzuooR3QKM4r5ocffuCHH34gOjqafv360bdvXxISEryuA5qo+6rUop4zZw733XcfkZGRxMTElPmPq2kaGzdudGuRQlrUojylFIcOHWLTpk1s2rSJv/76i5ycnH+eNyhUnEK1UDU3X3RdpIATOEP7iIZm/efzLTY2lh49enDppZfSsWNHTCb3jqcqLWpRkSoFdePGjbn//vt54oknaqImUQEJapGdnc3ff//Nrl272LZtG9u3by8TzOAMZ+rjDOgGqhrHzAQAdiAVtMMaWuo/HdAATCYTbdq0oWPHjrRr147WrVtXexQ0CWpRkSr9GWdlZTFs2DB313JOd9xxBx988IHrfkREBBdddBEvv/wyHTp0ADjjYalPPvmEESNGAM6WyJw5c5g7dy7bt2/HYDDQokULRo0axT333ENgYCDPPvss33zzDZs2bXKtY/Xq1QwdOpTbbruNN998kw8++IA777yz3LZMJpPrutRTa9br9TRo0ICrrrqKF154gfBwaeaIspRSZGVlcejQIdctOTmZgwcPkp6eXn55vYJ6zkO3KlpBBG6YaucMHEBRDa27ugKomf3WA3Env/jYFKSBluYMbUuxhaSkJJKSklyLN2zYkISEBBISEmjZsiXNmzcnIiJCDpeLaqlSUA8bNozly5dz7733uruecxo8eDDz588HIC0tjaeffpqrr76a5ORk1zLz589n8ODBZV4XFhbm+vm2227jq6++4umnn2bmzJlERUWxefNmZsyYQZMmTbjuuuvKbXfp0qUMGzaMxx57jKlTp7oeDw0NZffu3WWWPf2PsrRmm83Gjh07uOuuu8jOzuaTTz6p6q9B+LiioiKOHTvG4cOHSUlJITk52RXMubm5Z3ydClYQ5uwUpuqdPKRdO/2coAj033tnC89+pb3m58c28E9oKwV5oKVrzs5oJ5yDqqSkpJCSksLKlStdLzObzTRp0oS4uDhiY2OJiYmhXr16REREEB4eTnBwMAaDHPoQZ1al/x0tWrTgmWeeYd26dbRv3x6j0Vjm+QkTJriluIqYTCZiYmIAiImJ4YknnuCKK64gPT3ddblYWFiYa5nTffbZZyxcuJBvvvmGa6+91vV4kyZNuOaaayr8kFy0aBF33nknr7zySrl90zTtjNuqqOa4uDiGDx/OggULznufhXdSSlFSUkJRURHFxcUUFRVRWFhIYWEhBQUF5Ofnk5eXR25uLllZWWRmZnLixAmOHTt29jBGQSAQAipE/fNvKGA8bWEHrp7KNc5WS9upChu1X18gqMYKGp98z0qAbNCytX/+LYCcnBw2b97M5s2bz7iq4OBgQkJCCAkJwW63ExgYSFJSEuHh4YSFhblupcuEhITg7+8vLfULRJWC+r333iM4OJhVq1axatWqMs9pmlajQX2q/Px8Fi5cSIsWLahXr955vWbhwoUkJiaWCelSmqZhNpcd3HjWrFlMnDiRuXPnMmrUqGrXvH//fpYtW1buy83pLBaLa9Qo4Kwf7HVRfn4+S5cuJT8/v8IPo1O7VlTmw0ophaZprtdrmobdbqekpASLxUJJSUmZ26mPlf5ssVgoLi7GYrGUu+LBHTQ0KAQKQTtW9z6Ihw4dyvDhw1m8eDFLliypcPCkytIv986W/vnKz88nPz+/TE/9rVu3nvN1/v7+mEwmjEYjRqMRg8FQ5lb6mNFoxM/Pr8xyRqMRvV6PXq93DWZ16s+nOv3+6X9H53K2gbLOtExF2zxTPWda7nSBgYEMHTrU50aiq1JQHzhwwN11nLclS5a4fskFBQXExsayZMmSMtc5jhw5slwnjC1bttCsWTP27t173qMP7dy5k3Hjxp01pHNycsq96ZdddhnLly8vV7Pdbnedu3799dfPuu1p06aVOcR+oXn44YfLnVLwJcpwslUcDCpQgT/gD8pfgR/of/btYKmO4cOH06hRI4YPH853333n6XI8yn6t3dnLvASw4Jxbu0Rz/lwCFIGWq0EuaLby4VRcXOz6TBHnZ/ny5a7Tp77C506M9OnTh7fffhtwzvoze/ZshgwZwvr162ncuDEA06dPp3///mVeFx8fD/zzTfB8xMXFERYWxssvv8yQIUOIjY0tt0xISEi5y9ECAgIqrLmwsJD333+fPXv2MH78+LNue/LkyUycONF1Pzc317UPF4KePXv6dFBrNueHK7k4r9U1Af6g+WuogJOjggWcPOccBPjh/dc3F7in5bp48WJXi7oyrbKzsQ+shXPU7mADCgALaBYN7aAGVpyhXHIypEtD21JxOIvq6d27t6dLqLQqBfW5xvKeN29elYo5H0FBQbRo0cJ1v2vXrpjNZubMmcPzzz8POM9dn7rMqRISEti5c+d5bSskJIQVK1YwcOBAevfuzcqVK2nQoEGZZXQ63Rm3VVHNb775Jn369GHq1Kk899xzZ3yNyWRy+zWavuT222/n9ttvr7H1OxwOrFZrhYe5LRaL67nTD32X3i9tyZSeny4uLqawsNB1nrr0HHVJSQma0qAY542Th7ZPo4zOc9Aq9OS/peekA/GeAHfT1/olS5bw3XffuS2kAWdt3tTssOA8T52jQc7JVnGBM5wrS6/XYzabMZvNhIaGEhISQnBwMAEBAa5D335+fmUOdev1+jKHwv38/MosU/pz6aHu0lvpofDSx09dRi4V85wqX551KqvVyrZt28jOzq71+ag1TUOn01FUdH7Xjdxyyy2MGDGC//73v+XOUyulXNcrlwoPD2fFihUMGjTIFdbVnSFsypQpDBkyhPvuu69c8IvaodPpauXLkMViITc3l8zMTLKyssjIyOD48eMcP36c1NRUjhw5Qnp6unNQjRPO3sOnUvpTOpOFgQpz/ot/jZZdsYCTvaurqwjnOfhA5zrdwl3rqYoSnJN9ZGpoWRpkgVZ05kAODg529foOCwvDbDaX6SR2+PBhAgIC6NWrF+Hh4YSEhNTaEKbCO1UpqL/++utyjzkcDu6//36aNWtW7aLOxmKxuKbXzMrKYubMmeTn5zN06FDXMtnZ2WWm4ARn6zgoKIibb76Zr7/+mpEjR/LMM88wYMAAoqKi2Lp1K9OnT2f8+PHlLs8ym80sX76cwYMHu8I6Li4OcIb76dsCiI6OPuMfV+/evWnbti0vvPACM2fOrM6vQ3g5k8lEVFRUmQlsTmexWDh8+DCHDh3i4MGDrsu0Dh8+jM1m+6cH8eF/XqOCTl6eFem8hpoQar7lrcM9h5d94RD12ViB486Oflq65mwtVyAuLo7mzZvTtGlTmjRpQnx8PLGxsWftyHTqgCfx8fHSihWAGw8W6XQ6Hn74YXr37s3jjz/urtWWs2zZMte54pCQEFq1asXnn39e5rxDRYOQTJs2jUmTJqFpGosWLeK9995j3rx5PP/88xgMBlq2bMntt9/OoEGDKtxuaGgo//vf/xgyZIgrrMF57riic9epqalnvWxr4sSJ3HnnnTzxxBMX1LlnUZ7JZKJFixblTqHYbDZSU1NJTk7mwIED7Nu3j71793L48GHnYdQCDU4OH6BMJwc8iXGO6+3RFmZdVIRzTusjJ6+bVmXDOS4ujtatW5OYmEhiYiItWrSQ2beE27h19qzvv/+e0aNHVziCkqgeGUJUlMrPz2fHjh1s27aNzZs3s337dtf0laVUPYVqrFDxzl7mogqsOMf6PuRsOZ+qYcOGXHrppXTq1IkOHTq4bZRBGUJUVKRKLepTeyOD8/BvamoqS5cuZfTo0W4pTAhRseDgYC6++GIuvvhiAEpKSti5cycbNmxg/fr1zt7ypee7N4GjsQOVePLwuDg7hfOw9gEN7WjZsb3btm1Lr169uPzyy12nvoSoDVVqUffp06fMfZ1OR1RUFH379uWuu+6S4fBqgLSoxfnKyMhgxYoVLFu2jP3797seVw0VjtYOmUmrIsUnw/mAcyjQUk2aNGHQoEH079+f+vXr13gZ0qIWFXHroW9RcySoRWUppdi2bRuffPIJa9as+efxBiev477QA1sB6aDt09Ad1bmGYg0KCmLAgAFceeWVJCYm1uownRLUoiLVavqmp6eze/duNE0jISHhrD1bhRC1S9M02rdvT/v27Tl48CAff/wxK1aswHHUgf6oHhV7MrAjPF1pLSs5Odf0fg0tr+yh7WuuuYY+ffrg7++J69+EqFiVWtQFBQWMHz+eDz/80DXWsV6v5/bbb+ett94iMDDQ7YVe6KRFLdwhOTmZDz74gJ9++sn1t6tiFI62F0BgZ4L2t7Pndum554CAAAYMGMC1115Ly5YtPVygtKhFxaoU1P/3f//HihUrmDlzJj169ABgzZo1TJgwgQEDBriG+BTuI0Et3Onw4cN8/PHH/O9///snsGMVjvYOMJ/jxb5EAamg261Dy/in9dyiRQuuvfZaBgwY4FUNCwlqUZEqBXVkZCRffPFFuTFTV65cyc033yyXZ9UACWpRE1JSUvjggw9Yvny5M7A1cLRwoNqq8lNq+ppjoNuscw7jCRgMBvr168d1111HmzZtvHKKSAlqUZEqnaMuLCyssAdkdHQ0hYWF1S5KCFE7GjZsyJNPPsmoUaN49913Wb16Nbq9OtRhhaObA8qP5eP98k4GdKoziIOCgrjmmmu46aabpB+N8ElValH369ePevXq8eGHH7o6XRQVFTF69GgyMzNZsWKF2wu90EmLWtSGP/74gxkzZpCSkgKAI8GBaq+cw4d6OwXaXg3dNh3Ynf1mrr/+eu644w6f+ZuRFrWoSJWCeuvWrQwZMoTi4mI6duyIpmls2rQJk8nE8uXLadu2bU3UekGToBa1xWKx8M477/Dll18CoCIUjssc3j0saQHoNuhcI4h169aNhx56iEaNGnm4sMqRoBYVqfJ11EVFRXz88cfs2rULpRRt2rTh1ltvLTcXs3APCWpR21avXs20adPIz893zqHd0zs7mmmHNbS/NDSrhr+/Pw888ADXXHONV56DPhcJalGRKp2jnjZtGvXr12fs2LFlHp83bx7p6ek88cQTbilOCOE5PXv2pHnz5jz++OMkJyejX6nH3t0ONT9A1/mxgZakoTvoPC7ftm1bnnnmGZk6VtQ5VTrz9O6779KqVatyj7dt25Z33nmn2kUJIbxDgwYNePvtt+nYsSNYQb9aj3bYC1qqWaBboUN3UIemaYwePZq33npLQlrUSVUK6rS0tAqndoyKiiI1NbXaRQkhvEdISAivvfYa/fr1AwW6P3RoBzwU1ic7jOl/1qPlaURFRTFjxgzuvvtumWNA1FlVCur4+Hh+++23co//9ttv8o1WiDrIz8+Pp59+mqFDhzrD+k8d2t5aDmsL6H7TodvkHJf78ssvZ968eXTu3Ll26xCillXpK+iYMWN46KGHsFqt9O3bF4CffvqJxx9/nEceecStBQohvINer+fRRx8lMDCQxYsXo9ukw2FzoFrXwrw+GaBbp0Mr0jAajTzwwANcf/31PtlhTIjKqlJQP/7442RmZnL//fe7Jqz39/fniSeeYPLkyW4tUAjhPTRN4/777ycwMJD58+ej26bDYT85kllNZKZyjs+t26wD5Tya9+yzz3rFuNxC1JZqTXOZn5/Pzp07CQgIoGXLlphMJnfWJk4hl2cJb7No0SJX51FHSweqo5vD2gbaXxq6ZOcZuv79+7ta9HWVXJ4lKlKt3hfBwcFcdNFF7qpFCOFDbrnlFkwmE2+88Qa6vTocJQ5UNzeNYlYAut91aNkaOp2O+++/n2HDhsmhbnFBkm6SQogqu/HGGwkKCuLFF1+EQ6AsCkd3R/U+WY6Dbq0OrUTDbDYzdepUunTp4raahfA1vjCCrxDCiw0ePJhp06ZhMpnQ0jR0P+kgtworcoC2U0P/qx6tRCMhIYH3339fQlpc8CSohRDV1r17d15//XUiIiLQcjX0K/TOa63PtwdMNuh+1jkn1FAwcOBAZs2aVeEsfUJcaCSohRBu0b59e+bNm0e3bt3A7rzWWvejDu2QBo4KXqCA46CtOxnsWRrBwcE8+eSTPPXUU9I5VYiT5By1EMJtIiIiePXVV1m0aBEffvghxTnFaOs1VJKCEFDBzp7hWqEGeaAV/9M57PLLL2fixIlERkZ6cA+E8D4S1EIIt9LpdIwaNYprrrmGb7/9li+//JITJ05AJmiZZXttBwYGMmDAAK6++moSExM9VLEQ3q1a11GL2iPXUQtfZbPZOHjwIEeOHOHIkSMA1K9fn5iYGFq0aCFT455CrqMWFZEWtRCiRhkMBlq0aEGLFi08XYoQPkk6kwkhhBBeTIJaCCGE8GIS1EIIIYQXk6AWQgghvJgEtRBCCOHFJKiFEEIILyZBLYQQQngxCWohhBDCi0lQCyGEEF5MgloIIYTwYhLUQgghhBeToBZCCCG8mAS1EEII4cUkqIUQQggvJkEthBBCeDEJaiGEEMKLSVALIWqFUgqbzebpMoTwOQZPFyCEqLtycnJYtGgR27dv58CBAxQUFNCxY0d69epF3759CQsL83SJQng9CWohhNsppVi2bBmzZ88mJyenzHNJSUkkJSXx/vvv8/DDD9O/f380TfNQpUJ4PwlqIYRbFRUV8e9//5vffvsNgGjgciAG8AN2ARuB4/n5PPfcc6xZs4ZHH32UkJAQj9UshDeToBZCuE1WVhaTJk1i586dGIA+QA9Azz8t5h7ApShWAauAlStXcuDAAV5++WViYmI8UrcQ3kw6kwkh3OLo0aPcf//97Ny5kwDgTuAKtDIhXUqPRl80xgIhwMGDB7n33nvZvXt3LVcthPeToBZCVNvhw4eZMGECKSkphANjgUYVBPTp4tD4P5yHxzMzM5kwYQKbN2+u4WqF8C0S1EKIajl48CATJkzg+PHjRAFjgKjzCOlS5pMt66Y4z28/9thj/PXXXzVUrRC+R4JaCFFl+/btY8KECZw4cYL6wF1AaCVCupQ/GrcBLYHi4mIef/xx/vjjDzdXK4RvkqAWQlTJ7t27efDBB8nOziYWZ0gHVyGkSxnRuAVoBVitVp588kn+/PNPN1UrhO+SoBZCVNrWrVt56KGHyM3NJQ5nx7HAaoR0KQMaI/gnrCdPnsymTZuqvV4hfJkEtRCiUjZs2MAjjzxCQUEBjYE7gAA3hHQpPRrDgQTAYrHw+OOPs3XrVretXwhfI0EthDhvq1atYtKkSRQXF9MCuB0wuTGkS5W2rJvzzznrnTt3un07QvgCCWohxHn5/vvvmTJlClarlbbArYBfDYR0qdJz1k2AgoICHnnkEfbs2VNj2xPCW0lQCyHOafHixbz44os4HA66ADfjbPXWND80RgHxQH5+Pg8//LAMiiIuOBLUQogzUkoxZ84cZs2aBTiH/7wO0NVCSJcyoXE7zrDOy8vj4YcflsPg4oIiQS2EqJDNZuPll1/mo48+AqA/MAjQajGkS/mfDOtGOFvWEydOJCkpqdbrEMITJKiFEOUUFhby9NNPs3TpUjScreheaB4J6VKlYd0E5znrRx99lJUrV3qsHiFqiwS1EKKMw4cPc++99/L7779jAEYCXT0Y0KcqPQzeBud11s8++yyffvopSilPlyZEjZGgFkIAzvPRK1eu5P/uuYeDBw8SgnO0sdZeEtKljCevs74YZ82zZ89m6tSpFBYWero0IWqEzEcthCAtLY3p06ezdu1awHkueAQQ4mUhXUqHxtUoIoFlwM8//8y+ffuYMmUKLVq08HR5QriVBLUQF7CsrCwWLVrEN998g8ViQQ/0BHpRO5dfVYeGRnegAYrFwKFDh7jnnnu44447uOWWWzAY5ONN1A3yP1mIC1BmZiaLFy/m66+/pri4GIDGwDVAtJcH9Okao3E/im+BnTYb77//PmvWrOGJJ56gefPmni5PiGqToBbiApKRkcGiRYv49ttvKSkpAaAh0A9ogWcuvXKHYDRGotgMLAV27drFmDFjuPXWW7n99tvx8/PzdIlCVJkEtRAXgKysLBYuXMg333zjCug4oDfOyS98NaBPpaHRCWiGYgmw027nww8/5JdffuHxxx+nQ4cOHq5QiKqRoBaiDsvKyuKTTz7hm2++cR3ijgf64pzwoi4E9OlCT7aut+NsXScnJzNu3DiGDh3K2LFjCQsL83CFQlSOBLUQdVBaWhqLFy9myZIlWCwWwHmIuy/QkroZ0KfS0GgHNEfxP+Av4LvvvuOXX37hrrvu4tprr5XOZsJnaEpGCvAJubm5mM1mcnJyCA0N9XQ5wkvt2LGDL774gp9//hmHwwFcWAF9JgdPHg4/dvJ+TEwMI0eO5Morr8RkMnmytDLsdjurV68GoGfPnuj1eg9XJLyBBLWPkKAWZ2KxWFi1ahVff/0127dvdz3eDOelVnX1EHdl2VH8BfwMFJx8zGw2079/fwYPHkxCQgKa5tnfkwS1qIgEtY+QoBanUkqxc+dOfvzxR3788Udyc3MB0APtgO5AQwnnCllPBvYaIOeUx2NiYrj00ku5+OKL6dixIyEhIbVemwS1qIgEtY+QoBaFhYVs3ryZDRs2sHbtWlJSUlzPmYGuQDe8dzQxb2NHsR/YCOwCbKc8p2kaLVq0oGPHjnTu3JkOHTpgNptrviYJalEBj/amuOOOO/jggw9c9yMiIrjooot4+eWXXZdSnOlQ1CeffMKIESP45Zdf6NOnD1lZWa7enL1792bVqlVn3G7jxo05ePBgmeWMRiPx8fHcfPPNPPvss+XOWx05coRmzZrRrFkzdu3aVW6dpXWuXbuWSy+91PW4xWKhQYMGZGZmsnLlSnr37u1a/uuvv+a66647+y9JXHAsFgupqakkJyeTnJzM/v372bNnD4cPHy4z+YQRaAV0xHn+uTbniK4L9Gi0xPm7K0FxANgD7AcylGLv3r3s3buXL774whXcXbp0oUuXLrRv357g4GCP1i8uHB7v9jh48GDmz58POHuqPv3001x99dUkJye7lpk/fz6DBw8u87qzXWLx1Vdfua4VPXz4MBdffDErVqygbdu2AGW+pY4dO5Z///vflJSUsGHDBu68804Apk2bVmadCxYs4Oabb+bXX3/lt99+o0ePHuW2Gx8fz/z588sE9ddff01wcDCZmZnn8+sQFwCr1crx48dJS0sjLS2NY8eOkZaWRmpqKqmpqaSnp59xNqhwnOecm+MMGFMNh7MdRW6NbqFyQnEGrLv5oZEIJJ68n4fiIHAQOACknxLcixcvRqfT0bx5cxITE0lISKBp06Y0atSIsLAwj5/nFnWPx4PaZDIRExMDOM8RPfHEE1xxxRWkp6cTFRUFOEO5dJnzERER4fq59NrRevXqVbiOwMBA1+ONGjVi0aJFLF++vExQK6WYP38+s2fPJi4ujrlz51YY1KNHj+bNN99kxowZBAQEADBv3jxGjx7Nc889d971C99ls9nIzs7mxIkTZGZmcvz4cY4dO+YK47S0NDIyMs45LaMJiDx5iwJigQY4R+CqTbnA67W6xbObiPPLSk0LQaM90P7k/byTh8n34wzvTIfDFdynCgoKIjo6mqioKCIiIggLC8NsNmM2mwkNDSU0NLTMz0ajsRb2Rvg6jwf1qfLz81m4cCEtWrSgXr16tb79zZs389tvv9GkSZMyj69cuZLCwkL69+9PXFwcl1xyCW+88Ua5ziZdu3aladOmfPnll4waNYrDhw/z66+/MmvWLAnqGuBwOHA4HNjt9jI/n34rfe705202GzabDavVSklJievn02/FxcVYLBbXrbi42HUrKiqisLCQwsJC8vLyznuqRSPO1qH55C3slFs4EAgVRnIJtdulxFqrWzs3K7X/OwDnF6fWJ2/g/AKTAqQBqUAGzo5pBQUFHDhwgAMHDpzXev39/QkODiYwMJCgoCACAwMpKirC39+fbdu2ERIS4no8MDAQk8mEn5+f62YwGPDz88NoNLp+NhgM6PV6101a+L7P40G9ZMkS17megoICYmNjWbJkCTrdP1Nljxw5slynii1bttCsWbNqb3/27Nm8//77rg9rnU7HrFmzyiwzd+5cRowYgV6vp23btrRo0YLFixczZsyYcuu78847mTdvHqNGjWL+/PlceeWVriMDlVEaCqVKe/VeKGbOnMlnn33m6TKqRAOCT97Mp9zC+SeMg3CGzoXy9W3o0KEMHz7cNQhLVfuwvuXmumrCLUARkA8U4rwUrPDkY4Unb8WAAtcXvops3LixNsr1Gn5+fsyaNYvExMRzL3yB0Z17kZrVp08fNm3axKZNm/jjjz8YOHAgQ4YM4dChQ65lpk+f7lqm9BYfH++W7d96661s2rSJtWvXcvPNN3PXXXdx4403up7Pzs7mq6++YtSoUa7HRo0axbx58ypc36hRo1i7di379+9nwYIF3HXXXVWqa9q0aa5DZmaz2W376yv27dvn6RKqxB/nIeqGOMfSbnjaz7E4D19faNc1Dx8+nEaNGjF8+PAqh7SvOP09j6P8/4VYnEdNxD9KSkqkL88ZeLxFHRQUVGai965du2I2m5kzZw7PP/884Dx3XVOTwZvNZte6P/74Y9q2bcvcuXO5++67AVi0aBHFxcVccsklrtcopXA4HOzYsYM2bdqUWV+9evW4+uqrufvuuykuLmbIkCHk5eVVuq7JkyczceJE1/3c3NwLKqxfeeUVkpKSsFqtKKVch+9O/VnTNNeHfunPmqaVORx+pkPfNpsNu92O1Wotc8j71EPhpf+WHt0oKSkpc9i79NB36Qhg4GwppZTbm3/ogBAU4TgPfV/OP4e+Sx/zpgtysnFPK3bx4sWuFvWp71tljcf5u/I0hfPwd9rJW8bJWxbwShXXqWkagYGBGAwG/P39qV+/PsHBwa5D4wEBAec89G0wGCr8eznT77v0uVNf49rH0/7WTn+sdJ2nv/bUv8VTl6toPacuFxcXd0F9xlWGx4P6dJqmodPpKCoqqvVtG41GnnzySSZPnszIkSMJDAxk7ty5PPLII9xxxx1llp0wYQLz5s3j1VdfLbeeu+66iyuvvJInnniiytdBmkwmrxrasLYZDAYuuugiT5dxTkopLBYLBQUF5Ofnk5ubS3Z2NpmZmWRkZJCenu7qTHbs2DGsVis5lB1o41QaziCKoHxnskAPtMKNbjofvGTJEr777rtqhbSzHmcP7dqmUGTyT2eyg3DW3vChoaGuzmSndyA79efSc9DBwcH4+/ujlJLrqEU5Hg9qi8VCWloa4JzpZ+bMmeTn5zN06FDXMtnZ2a5lSpX+By+1devWcp27OnXqVOl6brnlFp588klmz55N//792bhxIwsXLqRVq1Zllhs5ciRPPfUU06ZNK9dzc/DgwaSnp8vAJBcATdPw9/fH39//nB0gHQ4HJ06cKHNJ1qm9wdPS0rBYLGThbJmdfvA/DEUcznmjmwNhtRBYoTh7WldXnlJkA2FKUZ3xvmrrL0rhrPcAzlDeT/kvV3qdjiZNm5a5PCsuLo7o6Gj8/f2rtF273V6dskUd5fGgXrZsGbGxsYAzfFu1asXnn3/uGhgEcF3bfKpp06YxadIk1/0rrrii3DJV+ebu5+fHuHHjePnll9m+fTtt2rQpF9IA1113Hffddx/fffcdN9xwQ5nnNE0jMjKy0tsWdZtOpyMqKoqoqCjat29f7nmlFCdOnODo0aMcOXKEw4cPuwY8SUlJIRvnoehtJ5dviKIDzkuIamo0Mj2aWy6HCgcauWE9NSkfxV6cX5AOUj6YDQYDbdu2pXPnznTs2JG2bdtWOZCFqAwZQtRHyBCiF7b8/Hz27t1LUlISGzZsYOfOna5z4zqcA3VcjHMiDhmh7Pzlo9gMbKV83wK9Xk+rVq3o3LkznTp1on379q7xEWqKDCEqKiJB7SMkqMWpSoekXbFiRZkZs+oBlwKdqflRy3zZERS/ArsBxymPJyYmcvHFF9O5c2fatm1b48F8OglqUREJah8hQS3O5MCBA3z77bcsW7aMggLnBI7+OFvY3an90cy82REUKyh7/r9NmzYMHjyYnj17emSgpVNJUIuKSFD7CAlqcS6FhYX88MMPfPnllxw5cgRwdkLpinNeavMFHNh5JwO6dAgRnU7HwIEDueWWW8qNROhJEtSiIhLUPkKCWpwvh8PBb7/9xqJFi1yHxfU4p8C8Agi9gALbcXLu6f8BpeP8DRo0iLvuusvVidWbSFCLini817cQwr10Oh09e/bk8ssvJykpifnz57N582b+AP4CLkLRk7o/b3UGiv/i7MENkJCQwEMPPUS7du08WJUQlSdBLUQdpWmaa/7kpKQk5s6dy5YtW1gLbAC6oU6OjFa3AtuO4jdgJWDDOfHFmDFjuPHGG6WFKnySHPr2EXLoW1SXUoq//vqLuXPn1tlD4mkovsI5oxXAxRdfzCOPPOKVh7krIoe+RUWkRS3EBULTNLp160bXrl3ZuHEjH3zwgXMyHJyHxC9B0QffvKzLjmINzla0HecQnuPGjWPQoEEyzaPweRLUQlxgNE2ja9eursCeN28eW7Zs4Teco54NRZHoQ2Gdh2IxUDrfXo8ePXj00Uc9fqmVEO4iQS3EBaxLly507tyZdevWMX36dNLS0vgYZ+t6CM4hRL3ZIRSf4pz7OTAwkAcffJDBgwdLK1rUKR6fj1oI4VmaptG9e3c++OADhg8fDsAfwHycQ2x6q40o5uEM6aZNmzJnzhyGDBkiIS3qHAlqIQQAAQEBPPDAA0ybNo2goCAOAe8Ax70srBWKVSi+xjn8Z58+fXj77bdlLmNRZ0lQCyHK6NGjB++++y7x8fHkAO8Dh70krBWK74EVJ++PHDmSKVOmEBgY6MmyhKhREtRCiHIaNWrErFmzaNOmDUU4D4Pv9XBYO1B8B6zDebh+/Pjx3Hfffeh08jEm6jb5Hy6EqFBYWBjTp0/nkksuwQp8DGzxUFg7UHyLc6AWTdOYNGkSw4YN80gtQtQ2CWohxBkFBAQwbdo0+vfvjwP4Alhfy2FdGtJ/4Rwe9amnnmLIkCG1WoMQniRBLYQ4K4PBwNNPP811112HAr4Dfq2lsFYolvJPSD/zzDMMHDiwVrYthLeQoBZCnJNOp+Phhx/mtttuA+BHYDkKVYOBrVAsA9bjPNw9efJk+vXrV2PbE8JbSVALIc6LpmmMHTuW++67D4DVwBKch6bdTaH4Efj95P3HHnuMQYMGuX07QvgCCWohRKWMHDmSRx99FE3TWA/8F/eH9UqcXwQAHn74Ya6++mq3rl8IXyJBLYSotGuuuYannnoKnU7HRuBLnBNjVJdC8TOKlSfvjxs3juuvv77a6xXCl0lQCyGqZODAgTz77LPo9Xq2AJ9TvbAuPdxdGtL33nsvN998sxsqFcK3yaQcQogq6927NwaDgSlTprDdasUODEdhqORkHo6THcfWnrw/btw4CWkhTpIWtRCiWi6//HJeeOEF/Pz82IVzYJTiSrSsrSg+45+QnjhxooS0EKeQoBZCVNsll1zCSy+9hL+/P/uAuUDueYR1AYoFwHbKXq8thPiHBLUQwi26du3KW2+9RUR4OGnAe8D+s4T1HhQzgWQgOCiIV199VQYzEaICEtRCCLdJTExk9skpJ3NwTubxBYrjKBwnbwdRfIXiI5xzSTdq1IhZs2fTpUsXzxYvhJeSzmRCCLdq0KAB7777LnPmzOGbb75hs1Jsxvlh4wcUnrLsTTfdxP/93/9hMpk8U6wQPkCCWgjhdsHBwTz88MMMGjSId999lx07dmCxWLCdfK5Hjx4MHTqUDh06eLpUIbyeBLUQosa0adOGN954A7vdTmpqKtnZ2SQmJmI0Gj1dmhA+Q4JaCFHj9Ho9cXFxxMXFeboUIXyOdCYTQgghvJgEtRBCCOHFJKiFEEIILyZBLYQQQngxCWohhBDCi0lQCyGEEF5MgloIIYTwYhLUQgghhBeToBZCCCG8mAS1EEII4cUkqIUQQggvJkEthBBCeDEJaiGEEMKLSVALIYQQXkyCWgghhPBiEtRCCCGEF5OgFkIIIbyYwdMFCCHqvpSUFNasWcPq1atJSUkhNDSUsLAwYmNjGTJkCB06dEDTNE+XKYRXkqAWQtSY5ORkXnvtNZKSkso8fuLECQCSkpL4/vvvadmyJcOGDWPAgAHo9XpPlCqE19KUUsrTRYhzy83NxWw2k5OTQ2hoqKfLEeKsrFYrn3zyCR988AFWqxVN0xEVEkfDsJbUC4qlxG7BYiskPe8whzJ2YFc2ANq1a8fkyZOJj4/38B54ht1uZ/Xq1QD07NlTvrQIQILaZ0hQC19x/PhxnnrqKXbv3g1AjLkpXRsPIMhkrnB5i7WQfelb2JX6BzZHCSaTiXvuuYcbb7wRne7C6kYjQS0qcmH9FQghatTu3bu599572b17N36GAC5pdhU9W954xpAGMBkDadPgUga1u4Po0EZYLBbeeustJk+eTF5eXi1WL4R3kqAWQrjFmjVrGD9+PBkZGYT616N/m1E0rtfmvDuJBZnM9Eq4mS6N+6PXDKxdu5YxY8awZ8+eGq5cCO8mQS2EqLalS5fy9NNPU1xcTP3QxvRtfQvBprBKr0fTNFpEd6Zv61sIMplJTU3l/vvv54cffnB/0UL4CAlqIUS1fPrpp7z00ks4HA6aRranZ8sb8TP4V2ud4UH1GdDmdmLNzSgpKWHatGm89tprlJSUuKlqIXyHBLUQokqUUsyZM4fZs2cDkBhzEd2aDEKnc08HKD+DP5e3vIG2DS4D4L///S8TJkzg+PHjblm/EL5CgloIUWk2m41XX32Vjz76CID2DXvSIa6X2wct0TSNtg170LPljRj1Jnbs2MHdd9/NH3/84dbtCOHNJKiFEJVisViYMmUK3333HRoaXRsPoHWDS2t0ZLHYsGYMaHM74YH1ycnJ4bHHHmPOnDnYbLYa26YQ3kKCWghx3nJycnj00UdZvXo1Ok1P9+bX0Dy6U61sO9g/jL6tb3Ft76OPPuLBBx8kLS2tVrYvhKdIUAshzsvBgwe599572bx5M0a9H1ckDCMuIqFWa9DrDHRtPIBLmw3FoPNj69at3HnnXfz888+1WocQtUmCWghxTuvXr+e+++4jJSWFID8zfVvdQnSo54b5bFSvFQPbjiYiKJaCgnyeffZZ/vOf/8gAKaJOkqAWQpyR3W5nwYIFPP744xQUFBAZ3JB+bUZhDozydGnOQ+GtRtI69lIA/ve//zF69GjWrl3r4cqEcC+ZPUsIUaGMjAyee+4518xXTSPbO0cN03nPx4ZOp6d9XE9izU1Zf2AZGRkZPPHEEwwcOJB7772XyMhIT5coRLVJi1oIUYZSip9++ok777yTpKQkDDojFze9kouaDvaqkD5VZEgcA9uOJqF+VwCWL1/OqFGj+PTTT7FarR6uTojqkdmzfITMniVqw7Fjx3j99dddh4/DAqPp3nwoIf4RHq7s/J3ITyUpeQWZBc7e4A0bNuT2229nwIABGAze+UWjlMyeJSoiQe0jJKhFTbJYLHz++ed89NFHFBUVodN0tI7tTqvYi722FX02SikOZGxj65FfsdgKAWdgjxo1iv79+2MymTxcYcUkqEVFJKh9hAS1qAlKKX7++Wfeffdd1/XI9YIb0K3JIMwBvn9+12ovYd/xJHanbcBiKwIgNDSUq666imuuuYaGDRt6uMKyJKhFRSSofYQEtXAnpRTr16/n/fffZ/fu3QAEGINpH3dFpaam9BXOwN7E38eTKCzJdT3etm1b+vfvT58+fYiI8PzhfQlqUREJah8hQS3cQSnFX3/9xYIFC9iyZQsABp2RxJiLSIy5CIPez8MV1iyHcpCavZ99x5M4lnsIhfPjT9M02rRpw+WXX85ll11GkyZNPPJlRYJaVESC2kdIUIvqsNlsrF69moULF7Jnzx4AdJqeFtGdaBV7Cf7GIA9XWPuKSvI5nLmb5MydZBaklnkuKiqKbt260a1bNzp37lxrl3lJUIuKSFD7CAlqURWHDx/mhx9+YNky5zXG4ByGs2lkB1rFXkygX4iHK/QOhSV5HM3+m6NZf3M87zAOZS/zfKNGjejcuTNdunShc+fOhIWF1UgdEtSiIhLUPkKCWpwPm83Gzp07WbduHevWrWPv3r2u50yGAJpHd6JldBdMxkAPVundbA4rGXkpHMs9yPHcZLIKj5VbplmzZnTq1IlOnTrRoUMHt53flqAWFZGg9hES1OJ0SikyMjLYtWsXu3btYtu2bezcuZPi4mLXMhoaMeamNI1sR2xYC/Q6+eCvrBJbMel5hzmem8zxvGRyijLKLRMTE0NCQgKJiYk0bdqUJk2aEBsbW+mglaAWFfH6CyTvuOMOPvjgA9f9iIgILrroIl5++WU6dOgAcMZOH5988gkjRozgl19+oU+fPrRt25bNmzeX+c8fFhbGjBkzaNKkCX369DlrLfPnz+eOO+7Abrfz5ptvMn/+fPbs2YO/vz/du3fn6aefpkePHq7lFyxYwJ133smgQYNYtmyZ6/Hs7GzCw8NZuXIlvXv3rsqvRVyAsrOz2b17N7t27WLnzp3s2rWLzMzMcssZ9SZizE2JNTcjxtzkgjz/7E5+Bn8ahrekYXhLAIqthaTnHT55O0JOUTppaWmkpaXx66+//vM6Pz8aNmxIXFwc8fHxNG7cmEaNGtG4cWOCg4M9tTvCB3l9UAMMHjyY+fPnA5CWlsbTTz/N1VdfTXJysmuZ+fPnM3jw4DKvO/080r59+/jwww+58847y23jsssuIzX1nw4lDz74ILm5ua7tApjNZpRSjBgxghUrVvDKK6/Qr18/cnNzmTVrFr179+bzzz/nuuuuc73GYDDw008/sXLlynN+ERBCKUV+fj5Hjx4lOTmZw4cPs2/fPvbs2cOxY+UPwWpohAbUIzwohsjghtQLbkCof70a7bHsUA6KSrxzlqoAvxB0Ws2OjOxvDCQ+IpH4iEQASmwWsguPkVmQRnbhcXKLT5BXlElJSQkHDhzgwIED5dYRGRlJkyZNaNq0aZkADwmRPgOiPJ8IapPJRExMDOA8xPTEE09wxRVXkJ6eTlSUcxafsLAw1zJnMn78eKZMmcLIkSPx9/cv85yfn1+Z1wcEBGCxWMqtc/HixXzxxRd8++23DB061PX4e++9x4kTJxgzZgwDBgwgKMjZigkKCuLmm29m0qRJ/PHHH1X/JQifZbPZyMrKIjMzk8zMTLKyssjOziYnJ4ecnByys7PJzc0lMzOTjIwMSkpKzriuYFM4EUExRATFEhEUQ1hgNAa9sRb3BopK8li65b1a3eb5uqrDPQSZzLW6TT+DiejQRkSHNnI95lAOCi255FuyyCvOIq84k9yiE+QWn6DYWkBGRgYZGRn8+eefZdYVGBhISEgI4eHhbNy4kcjISOrVq0d4eDhms5nQ0FBCQ0MJCgry+uFQhfv43Dudn5/PwoULadGiBfXq1avUax966CE+/vhjZs6cyaOPPlql7S9atIiEhIQyIV3qkUce4auvvuLHH38s06p+9tlnadGiBV988QU33XRTlbYraofD4cBqtWKz2Vz/2mw27HY7drsdh8OB3W7HarVitVopKSmhsLCQgoIC8vPzXYGclZXl+jDOysqisl1B/PQBhPiHE+wfToh/BOGB9TEHROFnOP06Z4XNfuZgrwk2u/dOcmGzW2v993Em/sZA/I2BRAaXHf2sxFZCnuWEK7jzirPIL86isCSXwsJCCgsLOXbsGLt27Trr+gMCAggODiYoKIigoCCCg4MJDAwscwsICMDf35+AgABMJhP+/v6YTCbXzc/PD6PRiJ+fHwaDAaPRiMFgQK/Xo9fr69zAN77KJ4J6yZIlrnM6BQUFxMbGsmTJEnS6fw5xjRw5slzHiy1bttCsWTPX/cDAQKZMmcKTTz7J2LFjMZsr/817z549tG7dusLnSh8vvU61VIMGDXjwwQd56qmnygT42VgsFiwWi+t+bm7uWZb2vP/973/85z//8XQZXktDw98YhL8xCJMxEKPexOHMM38Ql9iLOFFQxImCo7VYZe0aOnQow4cPZ/HixSxZsqTSX2Yq8r/t88+9kJe6ptMDlNiKKLDkUFCSQ1FJPsXWAoqs+VisRZTYirDYCrE5nF+UioqKKCoqIj093cOV1w2PPPII1157rafLqJBPBHWfPn14++23AcjMzGT27NkMGTKE9evX07hxYwCmT59O//79y7wuPj6+3LruvvtuXn/9dV566SVeeOGFGqm3om+hTzzxBO+++y7z5s3j5ptvPuc6pk2bxtSpU2uiPLdTSvHWW295ugyvYtD5ER5U33WY2hwQRYBfMMaTI3/Z7CVnDeoLwfDhw2nUqBHDhw/nu+++83Q5HmfQGfAPqEdoQMVHCu0OGxZbERZrIQUlORRacikoyaWoJI/CkjyKSvIosubXctV1x1tvvcWVV16J0Vi7p5LOh08EdVBQEC1atHDd79q1K2azmTlz5vD8888DznPXpy5zJgaDgeeff5477riDcePGVbqWhIQEduzYUeFzO3fuBKBly5blngsLC2Py5MlMnTqVq6+++pzbmTx5MhMnTnTdz83NrfCLhzfQNI0XXniB6dOnu77dK6VcX1hO/7lU6eOapp3X8hVt99TllVJlXlvRMqeu81w1ORwOHA5HmUPf58vmKHH1DD6VQWfEZAjEz+BP/dAm+Bn8MRn88dMHYDIGEmAMxt8vkECjGT+Dd87wVGDJdUvLdfHixa4Wden7V12D2t5JkMn3Ll+0OWzknTz8nW/JodCSQ5E1nyKrs1Vtsf7Tkna30sPfpUckz/W3WNHfa6lT/37Ota5T3/PqfFZU5EzbPdO2wsLCePDBB70ypMFHgvp0mqah0+koKiqq0uuHDRvGK6+8UqUW64gRI7jlllv47rvvyp2nfu2116hXrx4DBgyo8LXjx4/nzTff5I033jjndkrPIfmKDh06lOkhX1edeo7aZrNRUlJCQUHBWc9Rp6enk5mZSVFRETaHFVuJ89DmuZgMgYT4hzt7dQfWd56nDozy+LST7uq8tmTJEr777ju3hTQ4a/Pm8cqtdgu5RZnkFmWQW3yCnKIM8oozKbCc+/8DgF6vJzg4mJCQEIKDg8ucow4MDHT9e+o56tLz1KW3U89P+/n5yXloH+ATQW2xWFxT8GVlZTFz5kzy8/PLBGV2drZrmVIhISGu3tene/HFFxk0aFClaxkxYgSff/45o0ePLnd51rfffsvnn39+xm36+/szdepUHnjggUpvV3gHnU6HTqcr8837fMeBLiwsJDMzk+zsbNctNzfX1fv79A5oFlshlvxCMvJTXOvQNB1hAVFEBMUQHhRLRFB9QgMia/ySpFMF+IVwVYd7qr2eopJ8CktyCfQLJcDPPdcVB3jBkKhKKQpKcsgryiSvONPV6zuvOPOsh6ZDQkJo2LAhBoOBsLAwunTpUq7Xd3BwsATrBcgngnrZsmXExsYCzv/MrVq14vPPPy8zWEhF10ZPmzaNSZMmVbjOvn370rdvX5YvX16pWjRN47PPPuONN95g+vTpPPDAA5hMJrp3787KlSu5/PLLz/r60aNH89prr53x8Lmou0pbOXFxcedctrCwkCNHjriuo969ezd79uxxBnrhMeewlumbAefY3WGB0dQLakBkcAPqBTd0W/BVRKfp3HIJlHMd3jUfdGU5HHayi9LJLEgj65TrqO0O2xlfU69ePZo0aVLm1rhxY8xmMw6HQ0YmE+XIEKI+QoYQFUop0tLSXCOT7d69m927d1NYWFhu2bCAKGLDmhNrbka94AbSCnMTu8NOVkEqx0/2P8jIP4q9gnPHRqORuLg4GjVqRHx8PPHx8TRq1IhGjRqddVATGUJUVMQnWtRCCOfRnNjYWGJjY12j3DkcDo4cOcKOHTvYvn0727dvZ9++fWQXpZNdlM7O1HUEm8JoEtmOJpHtZLasSnIoB1kFxziel0x6bjLp+Snlgjk0NJRWrVqRmJhIQkICzZo1IzY2VgYkEW4jLWofIS1qcb6ys7NZv34969at4/fff3e1uDU04sITaBV7CeFB9T1cpXdSSpFXnMmx3EMcyz1Iet5hrKcNoGI2m+nSpQsdO3akU6dONGnSpMyYDtUhLWpREQlqHyFBLaqiqKiIVatW8f3337Np0ybX4/VDG9O2wWVEhpz7fHld53DYSc8/wtGsvzmava9cj/zg4GA6derkmo+6adOmbgvm00lQi4pIUPsICWpRXfv27WPRokX89NNPOBwOAGLMTWnfsOcF18JWSpGRn0LyiR0cztpDie2fSz39jH6079Cebt260a1bN1q0aFFrgSlBLSoiQe0jJKiFu6SmpvLxxx+zdOlSV2DHR7SiQ9wVtT6hRW2z2Io4kL6Ffemby1y7HBYWxmWXXUaPHj246KKLyk3aU1skqEVFJKh9hAS1cLcjR44wf/58VqxYgVIKvWYgIaYbrWIvcQ11WlfkF2exM/UPkk/sxK6cl04FBQXRq1cv+vfvT6dOnbyi85cEtaiIBLWPkKAWNWXPnj3MmjWLpKQkAAL9QujSeAANwpp7uLLqyy/OZkfqWg5lbEfh/KhLSEjg+uuvp1+/fh5rOZ+JBLWoiAS1j5CgFjVJKcWaNWuYOXMmqampADSKaE2nRn3wN1Y80p43s9pL2HH0d/Ye+wuHch7ev+SSS7j99ttp166d115XLkEtKuL5Yz1CCI/TNI2ePXvSrVs35s+fz2effUZy5k6O5yVzSbOrqB/a2NMlnhelFMmZO9l8+BeKrQUAdOvWjbvvvpu2bdt6tjghqkha1D5CWtSiNu3evZsXXniBAwcOANA69lLaNuxRq2OKV1ZhSR5/HVxOas5+ABo2bMj48eO57LLLPFzZ+ZMWtaiI9/7VCSE8JjExkXfffdc18c3O1HWs2r0Yi7X8cKWeppTiYMY2/rdtPqk5+zEajdx9990sWLDAp0JaiDORoBZCVMjf35/HHnuMKVOmEBgYSHreEVbs/JicogxPl+ZisRWxdt+3rD/wA1a7hdatWzN37lxGjx7tU9PECnE2EtRCiLPq168fb7/9NrGxsRRYcvhpx0JSs/d7uizS8w6zfNsHHMnag16v55577mHWrFk0adLE06UJ4VYS1EKIc2ratCnvvvsuHTt2xOYoYc3erziQsc0jtTiUg+0pv/PLrsUUWfOIi4vj7bffZtSoUV5xLbQQ7iZBLYQ4L2FhYbz++usMGjQIhWLDgR/YmfoHtdkftdhawOo9X7D96G8oFIMHD+b999+nVatWtVaDELVNvn4KIc6b0WjkySefJCIigk8++YStR37FYi2gY3yfGr82OT3vCGv3fUuxtQB/f38mTpzI4MGDa3SbQngDCWohRKVomsZ9991HeHg4s2fPZs+xvyixW+jWZFCNXL6llGLvsb/YfPgXFIomTZrw73//W85FiwuGBLUQokpGjBhBWFgYL774IgcztmG1FXNp86Hode77WLHZS/jz4HKSM3cC0L9/fx577DECAgLctg0hvJ0EtRCiygYPHkxQUBDPPvssKdl/s3rPl1zW4lr8DNUfQzuvOJPf//4vOUUZ6PV6HnjgAW688UavHf5TiJoincmEENXSs2dPXnnlFQICAjiel8zPOxeRX5xdrXUeydrDih0fkVOUQUREBDNmzOCmm26SkBYXJAlqIUS1denShZkzZxIVFUVu8Ql+2rmQjLyUSq/HZreSdOgnfv/7v1jtJXTo0IH333+fjh071kDVQvgGCWohhFu0bNmSd999l4SEBCy2Qlbu/pRtKWuwO2zn9fqMvCMs3/4Be49vBODmm29mxowZREZG1mTZQng9CWohhNtERkby1ltv0adPH5RysOPoWpZv/4BjuYfOeL11VsEx/tj/PT/v+oR8SxZRUVG8+uqrjBs3TgYwEQKZPctnyOxZwpcopVi1ahUzZswgMzMTgABjMA3CWlAvuAFWuwWLrZDjuYfJyD/iet2QIUMYN24cISEhnirdo2T2LFER+boqhHA7TdPo3bs3Xbt25b333mP58uUUFeWzL30T+9I3lVlWr9fTp08fbrrpJtq0aeOZgoXwYtKi9hHSoha+zGKxsHHjRtasWcORI0cwm82EhYVRv359Bg4cSFRUlKdL9ArSohYVkRa1EKLGmUwmunfvTvfu3T1dihA+RzqTCSGEEF5MgloIIYTwYhLUQgghhBeToBZCCCG8mAS1EEII4cUkqIUQQggvJkEthBBCeDEJaiGEEMKLSVALIYQQXkxGJvMRpSO95ubmergSIURNsdvtFBQUAM6/dRlCtO4LCQlB07SzLiNB7SPy8vIAiI+P93AlQggh3OV85m+QSTl8hMPh4OjRo+f17ctdcnNziY+P5/Dhw3VuIpC6vG9Qt/evLu8b1O39q8v7BlXbP2lR1yE6nY64uDiPbDs0NLRO/lFB3d43qNv7V5f3Der2/tXlfQP37590JhNCCCG8mAS1EEII4cUkqMUZmUwmpkyZgslk8nQpbleX9w3q9v7V5X2Dur1/dXnfoOb2TzqTCSGEEF5MWtRCCCGEF5OgFkIIIbyYBLUQQgjhxSSoBQAHDx7k7rvvpmnTpgQEBNC8eXOmTJlCSUnJWV+nlOLZZ5+lQYMGBAQE0Lt3b7Zv315LVVfOf/7zHy677DICAwMJCws7r9fccccdaJpW5nbppZfWbKFVUJV986X3Lisri9tuuw2z2YzZbOa2224jOzv7rK/x5vdu9uzZNG3aFH9/f7p27crq1avPuvyqVavo2rUr/v7+NGvWjHfeeaeWKq28yuzbL7/8Uu490jSNXbt21WLF5+fXX39l6NChNGjQAE3T+Oabb875Gne9bxLUAoBdu3bhcDh499132b59O9OnT+edd97hySefPOvrXn75ZV5//XVmzpzJhg0biImJYcCAAa4hT71JSUkJw4YN47777qvU6wYPHkxqaqrr9v3339dQhVVXlX3zpffulltuYdOmTSxbtoxly5axadMmbrvttnO+zhvfu8WLF/PQQw/x1FNPkZSURM+ePRkyZAjJyckVLn/gwAGuvPJKevbsSVJSEk8++SQTJkzgyy+/rOXKz62y+1Zq9+7dZd6nli1b1lLF56+goICOHTsyc+bM81rere+bEuIMXn75ZdW0adMzPu9wOFRMTIx68cUXXY8VFxcrs9ms3nnnndoosUrmz5+vzGbzeS07evRode2119ZoPe50vvvmS+/djh07FKDWrVvnemzt2rUKULt27Trj67z1vbv44ovVvffeW+axVq1aqUmTJlW4/OOPP65atWpV5rH/+7//U5deemmN1VhVld23lStXKkBlZWXVQnXuA6ivv/76rMu4832TFrU4o5ycHCIiIs74/IEDB0hLS2PgwIGux0wmE7169eL333+vjRJrxS+//EJ0dDQJCQmMHTuW48ePe7qkavOl927t2rWYzWYuueQS12OXXnopZrP5nLV623tXUlLCX3/9Veb3DjBw4MAz7svatWvLLT9o0CD+/PNPrFZrjdVaWVXZt1KdO3cmNjaWfv36sXLlyposs9a4832ToBYV2rdvH2+99Rb33nvvGZdJS0sDoH79+mUer1+/vus5XzdkyBAWLlzIzz//zGuvvcaGDRvo27cvFovF06VViy+9d2lpaURHR5d7PDo6+qy1euN7l5GRgd1ur9TvPS0trcLlbTYbGRkZNVZrZVVl32JjY3nvvff48ssv+eqrr0hMTKRfv378+uuvtVFyjXLn+yZBXcc9++yzFXbWOPX2559/lnnN0aNHGTx4MMOGDWPMmDHn3MbpM78opWpthq+q7F9lDB8+nKuuuop27doxdOhQfvjhB/bs2cPSpUvduBcVq+l9A9957yqq6Vy1evK9O5fK/t4rWr6ix71BZfYtMTGRsWPH0qVLF7p3787s2bO56qqrePXVV2uj1BrnrvdNZs+q48aNG8eIESPOukyTJk1cPx89epQ+ffrQvXt33nvvvbO+LiYmBnB+c4yNjXU9fvz48XLfJGtKZfevumJjY2ncuDF79+512zrPpCb3zZfeuy1btnDs2LFyz6Wnp1eq1tp8784kMjISvV5froV5tt97TExMhcsbDAbq1atXY7VWVlX2rSKXXnopH3/8sbvLq3XufN8kqOu4yMhIIiMjz2vZlJQU+vTpQ9euXZk/fz463dkPuDRt2pSYmBh+/PFHOnfuDDjPU61atYqXXnqp2rWfj8rsnzucOHGCw4cPlwm3mlKT++ZL71337t3Jyclh/fr1XHzxxQD88ccf5OTkcNlll5339mrzvTsTPz8/unbtyo8//sj111/vevzHH3/k2muvrfA13bt357vvvivz2PLly+nWrRtGo7FG662MquxbRZKSkjz6HrmLW9+3Snc/E3VSSkqKatGiherbt686cuSISk1Ndd1OlZiYqL766ivX/RdffFGZzWb11Vdfqa1bt6qRI0eq2NhYlZubW9u7cE6HDh1SSUlJaurUqSo4OFglJSWppKQklZeX51rm1P3Ly8tTjzzyiPr999/VgQMH1MqVK1X37t1Vw4YNvW7/KrtvSvnWezd48GDVoUMHtXbtWrV27VrVvn17dfXVV5dZxlfeu08//VQZjUY1d+5ctWPHDvXQQw+poKAgdfDgQaWUUpMmTVK33Xaba/n9+/erwMBA9fDDD6sdO3aouXPnKqPRqL744gtP7cIZVXbfpk+frr7++mu1Z88etW3bNjVp0iQFqC+//NJTu3BGeXl5rr8rQL3++usqKSlJHTp0SClVs++bBLVQSjkv6wEqvJ0KUPPnz3fddzgcasqUKSomJkaZTCZ1xRVXqK1bt9Zy9edn9OjRFe7fypUrXcucun+FhYVq4MCBKioqShmNRtWoUSM1evRolZyc7JkdOIvK7ptSvvXenThxQt16660qJCREhYSEqFtvvbXcJT2+9N7NmjVLNW7cWPn5+akuXbqoVatWuZ4bPXq06tWrV5nlf/nlF9W5c2fl5+enmjRpot5+++1arvj8VWbfXnrpJdW8eXPl7++vwsPD1eWXX66WLl3qgarPrfRSstNvo0ePVkrV7Psms2cJIYQQXkx6fQshhBBeTIJaCCGE8GIS1EIIIYQXk6AWQgghvJgEtRBCCOHFJKiFEEIILyZBLYQQQngxCWohhBDCi0lQC+FD7rjjDq677jpPl+Fx33zzDS1atECv1/PQQw+xYMECwsLCPF3Wefntt99o3749RqPR9V5W9JgQpSSohaim3r1789BDD9X4a3zRwYMH0TSNTZs2uXW9//d//8dNN93E4cOHee6559y67po2ceJEOnXqxIEDB1iwYMEZH6uOmvq9C8+QoBZC+JT8/HyOHz/OoEGDaNCgASEhIbWyXavV6pb17Nu3j759+xIXF+c6ClDRY0K4VGuUciEucBVNhnHgwAH1yy+/qIsuukj5+fmpmJgY9cQTTyir1XrW19hsNnXXXXepJk2aKH9/f5WQkKBmzJhRbnvXXnvtedVmt9vViy++qJo3b678/PxUfHy8ev75513Pb9myRfXp00f5+/uriIgINXbs2DKzbfXq1Us9+OCDZdZ57bXXuiYhUEqpxo0bq//85z/qzjvvVMHBwSo+Pl69++67rudP389evXqpVatWKYPBUG5mtokTJ6qePXuedZ8qmhhh5cqVav78+cpsNpdZdvbs2apZs2bKaDSqhIQE9eGHH5Z5/tChQ+qaa65RQUFBKiQkRA0bNkylpaW5np8yZYrq2LGjmjt3rmratKnSNE05HI6z1udwONRLL72kmjZtqvz9/VWHDh3U559/rpRS6sCBA+Vqr2gynNKJRbZv366GDBmigoKCVHR0tBo1apRKT093bets729Fv3fhuySohaiG7Oxs1b17dzV27FjXtKBHjhxRgYGB6v7771c7d+5UX3/9tYqMjFRTpkw542tsNpsqKSlR//rXv9T69evV/v371ccff6wCAwPV4sWLXdurTFA//vjjKjw8XC1YsED9/fffavXq1WrOnDlKKaUKCgpUgwYN1A033KC2bt2qfvrpJ9W0adMyIXy+QR0REaFmzZql9u7dq6ZNm6Z0Op3auXOnUkqp9evXK0CtWLFCpaamqhMnTiillEpISFAvv/yyaz1Wq1VFR0erefPmnXWfLBaL2r17t2sqxNTUVGWxWMoF9VdffaWMRqOaNWuW2r17t3rttdeUXq9XP//8s1LKGaidO3dWl19+ufrzzz/VunXrVJcuXcoE2pQpU1RQUJAaNGiQ2rhxo9q8efM5g/rJJ59UrVq1UsuWLVP79u1T8+fPVyaTSf3yyy/KZrOp1NRUFRoaqmbMmKFSU1NVfn5+uccKCwvV0aNHVWRkpJo8ebLauXOn2rhxoxowYIDq06fPeb2/Z/q9C98kQS1ENZ0eaE8++aRKTEws86E+a9YsFRwcrOx2e4WvOZP7779f3Xjjja775xvUubm5ymQyuT64T/fee++p8PBwlZ+f73ps6dKlSqfTuVqV5xvUo0aNct13OBwqOjraNZ1faSsyKSmpzHpeeukl1bp1a9f9b775RgUHB5ep50yysrLKTeF5elBfdtllauzYsWVeN2zYMHXllVcqpZRavny50uv1Zaa93L59u+L/27u/kKaiOA7g362mu+jYGGwmsRy1SvfgSHzI9hBUKj1Y9BKIVJZGOBEyzHoZvYgSUdFDYEilghA9BAaLCsKiGjrLejDnLEU2K5SIBkYabb8eZJeu7t/V0E1+Hxi487vn3N85Fzzee89BgDweDxEtTNQqlYpmZmYS5kRENDs7S2q1mtxut6S8pqaGKisrxe9arVby70ajlTmdTiorK5McEwgECAD5fL6E1zfWuLP0xO+oGfvPvF4vSkpKoFAoxDK73Y7Z2VlMTU3Frdve3o7i4mIYDAZkZ2ejo6MDfr9/WTnMz89j//79MeM2mw1ZWVmSHMPhMHw+n6xzFRYWij8rFAps2rQJMzMzcetUV1fj06dP6O/vBwDcuXMHR48eleSzEl6vF3a7XVJmt9vh9XrFuMlkgslkEuNWqxU6nU48BgDy8vJgMBiSOufIyAjm5uZQWlqK7Oxs8dPd3Y3x8XFZ+b99+xZ9fX2SdvLz8wEsvM9OdH3Z+rJxrRNgbL0hIskkHSkDsKT8X/fv30djYyOuXr2KkpISaDQaXLlyBQMDA7JzEARBdo4RkXKlUinmHRFtQZVKpVpSPxwOxz2/0WhERUUF7t69i61bt+LRo0d4/vx53DpyRbsGkbJY/V9cLucPh0ifXS4XNm/eLIllZmYm3U6krYqKCly+fHlJLDc3FxMTE7LaY+mN76gZW6GMjAyEQiHxu9VqhdvtlkxybrcbGo1G/AW+uA4AvHz5Env27IHD4cCuXbtgsVhk34lFbN++HYIg4NmzZ1HjVqsV79+/x8+fP8Wy169fQ6lUYseOHQAAg8GAr1+/ivFQKITh4WFZeWRkZIh1F6utrcW9e/dw69YtbNu2bckd8EoUFBTg1atXkjK3242CggIAC/33+/0IBAJifGRkBMFgUDxGLqvViszMTPj9flgsFsnn3zv3ZBQVFeHDhw8wm81L2srKykp4feONO0s/PFEztkJmsxkDAwOYnJzEt2/f4HA4EAgE0NDQgNHRUfT29uLSpUs4d+4clEpl1DrhcBgWiwVv3rzBkydPMDY2BqfTicHBwWXlpFarceHCBTQ3N4uPXvv7+3H79m0AQFVVFdRqNU6cOIHh4WH09fWhoaEBx44dQ05ODgBg3759cLlccLlcGB0dhcPhwI8fP2TlYTQaIQgCHj9+jOnpaQSDQTFWXl4OrVaLlpYWnDx5cln9jOX8+fPo7OxEe3s7Pn78iGvXruHBgwdoamoCABw4cACFhYWoqqrC0NAQPB4Pjh8/jr1796K4uHhZ59RoNGhqakJjYyO6urowPj6Od+/e4ebNm+jq6pLVVn19Pb5//47Kykp4PB5MTEzg6dOnOHXqFEKhUMLrG2/cWRpau9fjjK0PPp+Pdu/eTYIgJLU9K1adubk5qq6uJq1WSzqdjurq6ujixYtks9nEenK3Z7W0tFBeXh6pVCrasmULtba2ivFE27N+//5NdXV1pNfryWg0UltbW9TFZNevX5ec12aziSvciYg6OjrIZDKRUqlcsk3I6XTShg0b6MuXL0n1iSi5xWRE/297lhzhcJhu3LhBO3fuJJVKRQaDgcrLy+nFixfiMcksJiMiGhsboyNHjpBOpyNBECg/P5/Onj0rLlJMdH3jjTtLLwqiRS+hGGNslZw+fRrT09N4+PDhWqfCWMrixWSMsVUXDAYxODiInp4e9Pb2rnU6jKU0fkfNWBry+/2SrTuLP8vZ0rWaDh8+jEOHDuHMmTMoLS2VxA4ePBizX62trWuUcfqPOUtf/OibsTT0588fTE5OxoybzWZs3JieD8w+f/6MX79+RY3p9Xro9fpVzmjBeh5zltp4omaMMcZSGD/6ZowxxlIYT9SMMcZYCuOJmjHGGEthPFEzxhhjKYwnasYYYyyF8UTNGGOMpTCeqBljjLEUxhM1Y4wxlsL+Am+wl/9dKA9fAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "sns.catplot(\n", - " data=(\n", - " (trace_pymc.posterior.county_floor_effect + trace_pymc.posterior.floor_effect)\n", - " .isel(county=slice(0, 5))\n", - " .to_dataframe(\"total_county_floor_effect\")\n", - " .reset_index()\n", - " ),\n", - " x=\"total_county_floor_effect\",\n", - " y=\"county\",\n", - " kind=\"violin\",\n", - " orient=\"h\",\n", - ")\n", - "plt.axvline(0, color=\"grey\", alpha=0.5, zorder=-100)" - ] - }, - { - "cell_type": "markdown", - "id": "20512335-f639-4bec-b620-b9f4d2f596e7", - "metadata": {}, - "source": [ - "## Use nutpie as a sampling backend for stan" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "293666b0-03c4-4665-b1f3-e9a9a9253657", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Overwriting radon_model.stan\n" - ] - } - ], - "source": [ - "%%file radon_model.stan\n", - "data {\n", - " int n_counties;\n", - " int n_observed; \n", - " array[n_observed] int county_idx;\n", - " vector[n_observed] is_floor;\n", - " vector[n_observed] log_radon;\n", - "} \n", - "parameters {\n", - " real intercept;\n", - " \n", - " vector[n_counties] county_raw;\n", - " real county_sd;\n", - " \n", - " real floor_effect;\n", - " \n", - " vector[n_counties] county_floor_raw;\n", - " real county_floor_sd;\n", - " \n", - " real sigma;\n", - "} \n", - "transformed parameters {\n", - " vector[n_counties] county_effect;\n", - " vector[n_counties] county_floor_effect;\n", - " vector[n_observed] mu;\n", - "\n", - " county_effect = county_sd * county_raw;\n", - " county_floor_effect = county_floor_sd * county_floor_raw;\n", - "\n", - " mu = (\n", - " intercept\n", - " + county_effect[county_idx]\n", - " + floor_effect * is_floor\n", - " + county_floor_effect[county_idx] .* is_floor\n", - " );\n", - "}\n", - "model {\n", - " intercept ~ normal(0, 10);\n", - " \n", - " county_raw ~ normal(0, 1);\n", - " county_sd ~ normal(0, 1);\n", - " \n", - " floor_effect ~ normal(0, 2);\n", - " \n", - " county_floor_raw ~ normal(0, 1);\n", - " county_floor_sd ~ normal(0, 1);\n", - " \n", - " sigma ~ normal(0, 1.5);\n", - " \n", - " log_radon ~ normal(mu, sigma);\n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "b5af7eeb-8a70-46ea-b8a7-ffee0b723e0f", - "metadata": {}, - "outputs": [], - "source": [ - "data_stan = {\n", - " \"n_counties\": len(counties),\n", - " \"n_observed\": len(data),\n", - " \"county_idx\": county_idx + 1,\n", - " \"is_floor\": data.floor.values,\n", - " \"log_radon\": data.log_radon.values,\n", - "}\n", - "\n", - "coords_stan = {\n", - " \"county\": counties,\n", - "}\n", - "\n", - "dims_stan = {\n", - " \"county_raw\": (\"county\",),\n", - " \"county_floor_raw\": (\"county\",),\n", - " \"county_effect\": (\"county\",),\n", - " \"county_floor_effect\": (\"county\",),\n", - " \"mu\": (\"observation\",),\n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "ac6dd091-2590-4a0e-b70e-3859ec59851f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 249 ms, sys: 39.9 ms, total: 289 ms\n", - "Wall time: 20.2 s\n" - ] - } - ], - "source": [ - "%%time\n", - "stan_model = nutpie.compile_stan_model(\n", - " data_stan,\n", - " filename=\"radon_model.stan\",\n", - " coords=coords_stan,\n", - " dims=dims_stan,\n", - " cache=False,\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "f108f1d0-39c5-44ed-9a0f-4d2fb8e7cd3b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "\n", - "\n" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "\n", - "
\n", - " \n", - " 100.00% [20000/20000 00:01<00:00 Chains in warmup: 0, Divergences: 0]\n", - "
\n", - " " - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 10.4 s, sys: 125 ms, total: 10.5 s\n", - "Wall time: 1.23 s\n" - ] - } - ], - "source": [ - "%%time\n", - "trace_stan = nutpie.sample(stan_model, chains=10)" - ] - }, - { - "cell_type": "markdown", - "id": "aafe5ca1-06d5-4efe-a041-7ef9bbd33e20", - "metadata": {}, - "source": [ - "## Comparison with pystan" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "f26a4479-b749-4d86-b2e3-f4370fa71565", - "metadata": {}, - "outputs": [], - "source": [ - "import nest_asyncio\n", - "import stan\n", - "\n", - "nest_asyncio.apply()" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "1078eae2-c643-4549-babd-594e046d37a2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Building...\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - "Building: found in cache, done." - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 86.3 ms, sys: 3.24 ms, total: 89.6 ms\n", - "Wall time: 87.1 ms\n" - ] - } - ], - "source": [ - "%%time\n", - "with Path(\"radon_model.stan\").open() as file:\n", - " model = stan.build(file.read(), data=data_stan)" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "id": "9ac8d335-bcb4-4175-8cb9-b64e4aabb12d", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Sampling: 0%\n", - "Sampling: 10% (2000/20000)\n", - "Sampling: 20% (4000/20000)\n", - "Sampling: 30% (6000/20000)\n", - "Sampling: 40% (8000/20000)\n", - "Sampling: 50% (10000/20000)\n", - "Sampling: 60% (12000/20000)\n", - "Sampling: 70% (14000/20000)\n", - "Sampling: 80% (16000/20000)\n", - "Sampling: 90% (18000/20000)\n", - "Sampling: 100% (20000/20000)\n", - "Sampling: 100% (20000/20000), done.\n", - "Messages received during sampling:\n", - " Gradient evaluation took 0.000307 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 3.07 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 0.000357 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 3.57 seconds.\n", - " Adjust your expectations accordingly!\n", - " Informational Message: The current Metropolis proposal is about to be rejected because of the following issue:\n", - " Exception: normal_lpdf: Location parameter[1] is inf, but must be finite! (in '/tmp/httpstan_acld9lfg/model_c5hg34nq.stan', line 49, column 4 to column 34)\n", - " If this warning occurs sporadically, such as for highly constrained variable types like covariance matrices, then the sampler is fine,\n", - " but if this warning occurs often then your model may be either severely ill-conditioned or misspecified.\n", - " Informational Message: The current Metropolis proposal is about to be rejected because of the following issue:\n", - " Exception: normal_lpdf: Location parameter[1] is inf, but must be finite! (in '/tmp/httpstan_acld9lfg/model_c5hg34nq.stan', line 49, column 4 to column 34)\n", - " If this warning occurs sporadically, such as for highly constrained variable types like covariance matrices, then the sampler is fine,\n", - " but if this warning occurs often then your model may be either severely ill-conditioned or misspecified.\n", - " Gradient evaluation took 0.000454 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 4.54 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 0.000299 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 2.99 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 0.000239 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 2.39 seconds.\n", - " Adjust your expectations accordingly!\n", - " Informational Message: The current Metropolis proposal is about to be rejected because of the following issue:\n", - " Exception: normal_lpdf: Scale parameter is 0, but must be positive! (in '/tmp/httpstan_acld9lfg/model_c5hg34nq.stan', line 49, column 4 to column 34)\n", - " If this warning occurs sporadically, such as for highly constrained variable types like covariance matrices, then the sampler is fine,\n", - " but if this warning occurs often then your model may be either severely ill-conditioned or misspecified.\n", - " Gradient evaluation took 0.000268 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 2.68 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 0.000232 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 2.32 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 0.000197 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 1.97 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 0.000254 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 2.54 seconds.\n", - " Adjust your expectations accordingly!\n", - " Gradient evaluation took 0.000297 seconds\n", - " 1000 transitions using 10 leapfrog steps per transition would take 2.97 seconds.\n", - " Adjust your expectations accordingly!\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 31.2 s, sys: 3.6 s, total: 34.8 s\n", - "Wall time: 46.4 s\n" - ] - } - ], - "source": [ - "%%time\n", - "trace_pystan = model.sample(num_chains=10, save_warmup=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "id": "d1135017-83bd-45b7-af1e-9259c43aa3a9", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/adr/git/arviz/arviz/data/io_pystan.py:986: UserWarning: save_warmup is not currently supported for PyStan3\n", - " warnings.warn(\n" - ] - } - ], - "source": [ - "trace_pystan = arviz.from_pystan(trace_pystan, save_warmup=True)" - ] - }, - { - "cell_type": "markdown", - "id": "a85bd49c-1fc4-4749-ad06-319c6a5909ac", - "metadata": {}, - "source": [ - "## Comparison to the pymc sampler" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "cbef1e21-8a92-4f4c-aee5-8cc30e091cd0", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Auto-assigning NUTS sampler...\n", - "Initializing NUTS using jitter+adapt_diag_grad...\n", - "Multiprocess sampling (10 chains in 10 jobs)\n", - "NUTS: [intercept, county_raw, county_sd, floor_effect, county_floor_raw, county_floor_sd, sigma]\n" - ] - }, - { - "data": { - "text/html": [ - "\n", - "\n" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "\n", - "
\n", - " \n", - " 100.00% [20000/20000 00:11<00:00 Sampling 10 chains, 0 divergences]\n", - "
\n", - " " - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Sampling 10 chains for 1_000 tune and 1_000 draw iterations (10_000 + 10_000 draws total) took 13 seconds.\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 14.2 s, sys: 938 ms, total: 15.2 s\n", - "Wall time: 26 s\n" - ] - } - ], - "source": [ - "%%time\n", - "with pymc_model:\n", - " trace_py = pm.sample(\n", - " init=\"jitter+adapt_diag_grad\",\n", - " draws=1000,\n", - " chains=10,\n", - " cores=10,\n", - " idata_kwargs={\"log_likelihood\": False},\n", - " compute_convergence_checks=False,\n", - " target_accept=0.8,\n", - " discard_tuned_samples=False,\n", - " )" - ] - }, - { - "cell_type": "markdown", - "id": "b235d968-c70e-4bb1-9bbc-0c19b363cc9c", - "metadata": {}, - "source": [ - "## Early convergance speed" - ] - }, - { - "cell_type": "code", - "execution_count": 91, - "id": "8966f3d4-9b9e-48e6-9539-f63dcae3675b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(\n", - " (trace_pymc.warmup_sample_stats.n_steps).isel(draw=slice(0, 1000)).cumsum(\"draw\").T,\n", - " np.log(trace_pymc.warmup_sample_stats.energy.isel(draw=slice(0, 1000)).T),\n", - ")\n", - "plt.xlim(0, 10000)\n", - "plt.ylabel(\"log-energy\")\n", - "plt.xlabel(\"gradient evaluations\");" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "id": "0edaa957-78c3-45cb-8346-bcad390b3eea", - "metadata": {}, - "outputs": [], - "source": [ - "trace_cmdstan = arviz.from_cmdstan(\"output_*.csv\", save_warmup=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 89, - "id": "82bbc928-ae59-4d8a-bda7-54d1b28e35ee", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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<xarray.DataArray 'n_steps' ()>\n",
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<xarray.DataArray 'n_steps' ()>\n",
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-       "Dimensions:              ()\n",
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- int n_observed; - array[n_observed] int county_idx; - vector[n_observed] is_floor; - vector[n_observed] log_radon; -} -parameters { - real intercept; - - vector[n_counties] county_raw; - real county_sd; - - real floor_effect; - - vector[n_counties] county_floor_raw; - real county_floor_sd; - - real sigma; -} -transformed parameters { - vector[n_counties] county_effect; - vector[n_counties] county_floor_effect; - vector[n_observed] mu; - - county_effect = county_sd * county_raw; - county_floor_effect = county_floor_sd * county_floor_raw; - - mu = ( - intercept - + county_effect[county_idx] - + floor_effect * is_floor - + county_floor_effect[county_idx] .* is_floor - ); -} -model { - intercept ~ normal(0, 10); - - county_raw ~ normal(0, 1); - county_sd ~ normal(0, 1); - - floor_effect ~ normal(0, 2); - - county_floor_raw ~ normal(0, 1); - county_floor_sd ~ normal(0, 1); - - sigma ~ normal(0, 1.5); - - log_radon ~ normal(mu, sigma); -} -``` - -```python -data_stan = { - "n_counties": len(counties), - "n_observed": len(data), - "county_idx": county_idx + 1, - "is_floor": data.floor.values, - "log_radon": data.log_radon.values, -} - -coords_stan = { - "county": counties, -} - -dims_stan = { - "county_raw": ("county",), - "county_floor_raw": ("county",), - "county_effect": ("county",), - "county_floor_effect": ("county",), - "mu": ("observation",), -} -``` - -```python -%%time -stan_model = nutpie.compile_stan_model( - data_stan, - filename="radon_model.stan", - coords=coords_stan, - dims=dims_stan, - cache=False -) -``` - -```python -%%time -trace_stan = nutpie.sample(stan_model, chains=10) -``` - -## Comparison with pystan - -```python -import stan -import nest_asyncio - -nest_asyncio.apply() -``` - -```python -%%time -with open("radon_model.stan", "r") as file: - model = stan.build(file.read(), data=data_stan) -``` - -```python -%%time -trace_pystan = model.sample(num_chains=10, save_warmup=True) -``` - -```python -trace_pystan = arviz.from_pystan(trace_pystan, save_warmup=True) -``` - -## Comparison to the pymc sampler - -```python -%%time -with pymc_model: - trace_py = pm.sample( - init="jitter+adapt_diag_grad", - draws=1000, - chains=10, - cores=10, - idata_kwargs={"log_likelihood": False}, - compute_convergence_checks=False, - target_accept=0.8, - discard_tuned_samples=False, - ) -``` - -## Early convergance speed - -```python -plt.plot((trace_pymc.warmup_sample_stats.n_steps).isel(draw=slice(0, 1000)).cumsum("draw").T, np.log(trace_pymc.warmup_sample_stats.energy.isel(draw=slice(0, 1000)).T)); -plt.xlim(0, 10000) -plt.ylabel("log-energy") -plt.xlabel("gradient evaluations"); -``` - -```python -trace_cmdstan = arviz.from_cmdstan("output_*.csv", save_warmup=True) -``` - -```python -plt.plot((trace_cmdstan.warmup_sample_stats.n_steps).isel(draw=slice(0, 1000)).cumsum("draw").T, np.log(trace_cmdstan.warmup_sample_stats.energy.isel(draw=slice(0, 1000)).T)); -plt.xlim(0, 10000) -plt.ylabel("log-energy") -plt.xlabel("gradient evaluations"); -``` - -The new implementation only use about a third of gradient evaluations during tuning - -```python -trace_cmdstan.warmup_sample_stats.n_steps.sum() -``` - -```python -trace_stan.warmup_sample_stats.n_steps.sum() -``` - -## Comparison to cmdstan - - -Run on the commandline: -``` -env STAN_THREADS=1 cmdstan_model radon_model.stan -``` - -```python -import json -``` - -```python -stan.common.simdjson -``` - -```python -type({name: int(val) if isinstance(val, int) else list(val) for name, val in data_stan.items()}["county_idx"][0]) -``` - -```python -data_json = {} -for name, val in data_stan.items(): - if isinstance(val, int): - data_json[name] = int(val) - continue - - if val.dtype == np.int64: - data_json[name] = list(int(x) for x in val) - continue - - data_json[name] = list(val) - -with open("radon.json", "w") as file: - json.dump(data_json, file) -``` - -```python -%%time -out = !./radon_model sample num_chains=10 save_warmup=1 data file=radon.json num_threads=10 -``` - -```python -trace_cmdstan = arviz.from_cmdstan("output_*.csv", save_warmup=True) -``` - -## Gradient evals per effective sample - -nutpie uses fewer gradient evaluations per effective sample in this model. - -```python -trace_cmdstan.sample_stats.n_steps.sum() / arviz.ess(trace_cmdstan).min() -``` - -```python -trace_stan.sample_stats.n_steps.sum() / arviz.ess(trace_stan).min() -```