From ae105d4e6057de6a2a6665bdd50944f24dd054d9 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Fran=C3=A7ois=20Rozet?= Date: Sat, 13 Jan 2024 00:24:08 +0100 Subject: [PATCH] Address PR comments --- pyro/contrib/zuko.py | 12 ++++-- tests/contrib/test_zuko.py | 24 +++++++---- tutorial/source/svi_flow_guide.ipynb | 60 ++++++++++++++-------------- tutorial/source/vae_flow_prior.ipynb | 6 +-- 4 files changed, 57 insertions(+), 45 deletions(-) diff --git a/pyro/contrib/zuko.py b/pyro/contrib/zuko.py index bca120b2c2..232b773389 100644 --- a/pyro/contrib/zuko.py +++ b/pyro/contrib/zuko.py @@ -15,9 +15,13 @@ import pyro -class Zuko2Pyro(pyro.distributions.TorchDistribution): +class ZukoToPyro(pyro.distributions.TorchDistribution): r"""Wraps a Zuko distribution as a Pyro distribution. + If ``dist`` has an ``rsample_and_log_prob`` method, like Zuko's flows, it will be + used when sampling instead of ``rsample``. The returned log density will be cached + for later scoring. + :param dist: A distribution instance. :type dist: torch.distributions.Distribution @@ -31,9 +35,9 @@ class Zuko2Pyro(pyro.distributions.TorchDistribution): x = dist.sample((2, 3)) log_p = dist.log_prob(x) - # Zuko2Pyro(flow()) is a pyro.distributions.Distribution + # ZukoToPyro(flow()) is a pyro.distributions.Distribution - dist = Zuko2Pyro(flow()) + dist = ZukoToPyro(flow()) x = dist((2, 3)) log_p = dist.log_prob(x) @@ -74,4 +78,4 @@ def log_prob(self, x: Tensor) -> Tensor: return self.dist.log_prob(x) def expand(self, *args, **kwargs): - return Zuko2Pyro(self.dist.expand(*args, **kwargs)) + return ZukoToPyro(self.dist.expand(*args, **kwargs)) diff --git a/tests/contrib/test_zuko.py b/tests/contrib/test_zuko.py index 3a4ccddaa0..012dcbad38 100644 --- a/tests/contrib/test_zuko.py +++ b/tests/contrib/test_zuko.py @@ -6,13 +6,14 @@ import torch import pyro -from pyro.contrib.zuko import Zuko2Pyro +from pyro.contrib.zuko import ZukoToPyro from pyro.infer import SVI, Trace_ELBO from pyro.optim import Adam @pytest.mark.parametrize("multivariate", [True, False]) -def test_Zuko2Pyro(multivariate: bool): +@pytest.mark.parametrize("rsample_and_log_prob", [True, False]) +def test_ZukoToPyro(multivariate: bool, rsample_and_log_prob: bool): # Distribution if multivariate: normal = torch.distributions.MultivariateNormal @@ -25,32 +26,39 @@ def test_Zuko2Pyro(multivariate: bool): dist = normal(mu, sigma) + if rsample_and_log_prob: + def dummy(self, shape): + x = self.rsample(x) + return x, self.log_prob(x) + + dist.rsample_and_log_prob = dummy + # Sample - x1 = pyro.sample("x1", Zuko2Pyro(dist)) + x1 = pyro.sample("x1", ZukoToPyro(dist)) assert x1.shape == dist.event_shape # Sample within plate with pyro.plate("data", 4): - x2 = pyro.sample("x2", Zuko2Pyro(dist)) + x2 = pyro.sample("x2", ZukoToPyro(dist)) assert x2.shape == (4, *dist.event_shape) # SVI def model(): - pyro.sample("a", Zuko2Pyro(dist)) + pyro.sample("a", ZukoToPyro(dist)) with pyro.plate("data", 4): - pyro.sample("b", Zuko2Pyro(dist)) + pyro.sample("b", ZukoToPyro(dist)) def guide(): mu_ = pyro.param("mu", mu) sigma_ = pyro.param("sigma", sigma) - pyro.sample("a", Zuko2Pyro(normal(mu_, sigma_))) + pyro.sample("a", ZukoToPyro(normal(mu_, sigma_))) with pyro.plate("data", 4): - pyro.sample("b", Zuko2Pyro(normal(mu_, sigma_))) + pyro.sample("b", ZukoToPyro(normal(mu_, sigma_))) svi = SVI(model, guide, optim=Adam({"lr": 1e-3}), loss=Trace_ELBO()) svi.step() diff --git a/tutorial/source/svi_flow_guide.ipynb b/tutorial/source/svi_flow_guide.ipynb index d9406500f5..4b0fe1c89d 100644 --- a/tutorial/source/svi_flow_guide.ipynb +++ b/tutorial/source/svi_flow_guide.ipynb @@ -22,7 +22,7 @@ "import zuko # pip install zuko\n", "\n", "from corner import corner, overplot_points # pip install corner\n", - "from pyro.contrib.zuko import Zuko2Pyro\n", + "from pyro.contrib.zuko import ZukoToPyro\n", "from pyro.optim import ClippedAdam\n", "from pyro.infer import SVI, Trace_ELBO\n", "from torch import Tensor" @@ -57,11 +57,11 @@ " return pyro.distributions.MultivariateNormal(mu, cov)\n", "\n", "def model(x: Tensor):\n", - " with pyro.plate(\"batch\", len(x)):\n", + " with pyro.plate(\"data\", x.shape[1]):\n", " z = pyro.sample(\"z\", prior)\n", "\n", " with pyro.plate(\"obs\", 5):\n", - " pyro.sample(\"x\", likelihood(z), obs=x.transpose(0, 1))" + " pyro.sample(\"x\", likelihood(z), obs=x)" ] }, { @@ -78,7 +78,7 @@ "outputs": [], "source": [ "z_star = prior.sample((64,))\n", - "x_star = likelihood(z_star).sample((5,)).transpose(0, 1)" + "x_star = likelihood(z_star).sample((5,))" ] }, { @@ -87,7 +87,7 @@ "source": [ "## Guide\n", "\n", - "We define the guide $q_\\phi(z | x)$ with a normalizing flow. We choose a conditional [neural spline flow](https://arxiv.org/abs/1906.04032) borrowed from the [Zuko](https://zuko.readthedocs.io/) library. Because Zuko distributions are very similar to Pyro distributions, a thin wrapper (`Zuko2Pyro`) is sufficient to make Zuko and Pyro 100% compatible." + "We define the guide $q_\\phi(z | x)$ with a normalizing flow. We choose a conditional [neural spline flow](https://arxiv.org/abs/1906.04032) borrowed from the [Zuko](https://zuko.readthedocs.io/) library. Because Zuko distributions are very similar to Pyro distributions, a thin wrapper (`ZukoToPyro`) is sufficient to make Zuko and Pyro 100% compatible." ] }, { @@ -102,8 +102,8 @@ "def guide(x: Tensor):\n", " pyro.module(\"flow\", flow)\n", "\n", - " with pyro.plate(\"batch\", len(x)): # amortized\n", - " pyro.sample(\"z\", Zuko2Pyro(flow(x.flatten(-2))))" + " with pyro.plate(\"data\", x.shape[1]): # amortized\n", + " pyro.sample(\"z\", ZukoToPyro(flow(x.transpose(0, 1).flatten(-2))))" ] }, { @@ -124,23 +124,23 @@ "name": "stdout", "output_type": "stream", "text": [ - "(0) 143512.64395141602\n", - "(256) -82.79693603515625\n", - "(512) -116.50436401367188\n", - "(768) -135.14303588867188\n", - "(1024) -124.84771728515625\n", - "(1280) -141.2506866455078\n", - "(1536) -147.6421661376953\n", - "(1792) -153.61279296875\n", - "(2048) -143.5320281982422\n", - "(2304) -151.1400146484375\n", - "(2560) -134.08444213867188\n", - "(2816) -147.55593872070312\n", - "(3072) -140.03173828125\n", - "(3328) -146.55886840820312\n", - "(3584) -145.53024291992188\n", - "(3840) -139.77804565429688\n", - "(4096) -145.12144470214844\n" + "(0) 209195.08367919922\n", + "(256) -25.225540161132812\n", + "(512) -99.09033203125\n", + "(768) -102.66302490234375\n", + "(1024) -138.8058319091797\n", + "(1280) -92.15625\n", + "(1536) -136.78167724609375\n", + "(1792) -87.76119995117188\n", + "(2048) -116.21714782714844\n", + "(2304) -162.0266571044922\n", + "(2560) -91.13175964355469\n", + "(2816) -164.86270141601562\n", + "(3072) -98.17607116699219\n", + "(3328) -102.58432006835938\n", + "(3584) -151.61912536621094\n", + "(3840) -77.94436645507812\n", + "(4096) -121.82719421386719\n" ] } ], @@ -170,7 +170,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -180,12 +180,12 @@ } ], "source": [ - "z = flow(x_star[0].flatten()).sample((4096,))\n", + "z = flow(x_star[:, 0].flatten()).sample((4096,))\n", "x = likelihood(z).sample()\n", "\n", "fig = corner(x.numpy())\n", "\n", - "overplot_points(fig, x_star[0].numpy())" + "overplot_points(fig, x_star[:, 0].numpy())" ] }, { @@ -195,7 +195,7 @@ "outputs": [ { "data": { - "image/png": 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", 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rPQXRpjK9iYjIV9hcHABqtbpeAdGWr5o0bftq5WwjNjvbvq+n5mo2vxJRc8OabAMRa3kiXzWZijVPk8mEoqIip/sV31uj0bgMcGLt1F2ZbLcR39d2dLGnGjqbX4mouWGQ9RG5TaUlJSWIi4vzeZOpu6ZY8TmxD9UZ275aq9Vq1zQsHp+nzDQMokRE9thc7CPl5eUoLS1Fbm6u0yZXsak0ISHBL02m7ppixefcBcDy8nIUFRVJtW3bpmE5TclERFQba7I+EhkZCb1ej/DwcKe1Sdtanq+TGohTglzVop2NfrYd6BQZGYm8vDwUFRUhMTERV111FQCgpKQECQkJUjMxUJOTFYBUo/V2hLEnTW0EMhGRO0EbZAVB8JhpSG6wk7OdRqNBfHw8Ll26BEEQYLFY3O4vJCTE4/taLBbpfY1GI0wmk91C6cXFxSguLoZSqURMTAzKysqgUqlc7s9qtUrJMRwHMVVUVEiZqCwWCwRBQFxcHARBQHl5OS5duiTtA4A0AtlisdTKaOXsfeWcZ6vVWitLlqtma1ctAY7Zt+R+vnIFYn9E1HQFbZCtL8caldyLYXh4OIqLi6XfHXMZG41GqNVqREdH273OsWbpyGQyobq6GiaTyS7IVlZWQhAEtGjRwmM5lUql9LztICaFQoF27dpBr9cjISEBSqUSGo1GWqbr0qVLCAkJgcViQcuWLaXXi+WKjIyUskk5q4XKSeVoe75spwn98ccfsFqt0mhsT33LrlJZesJgR0T+wCDrQl3mdGo0GhQXF0OlUqG4uBhxcXG1amEWiwUmk6lWkLWtWToLIOIIYtvAER8fj+LiYrRs2dLrpbIck1IkJiZK2aksFosUEC0Wi/Se8fHxdu8jCAKioqKk312dM/G4HUcvizcdtscYFRUlbaPX66V8yyKxCdvdcTWFVZCI/EnOOrVc/adhNJsg621fX10u1hqNBikpKTAajXbBR6/XS0FLrMk6e627KTQajQalpaXYuHEj2rZti549e6J169aIj4+XmnD9oaSkRAquRqPR7lgcuTpnjrVTsYZsMplgtVpx5coVxMbGIioqyu682aalFN8/Li7ObXkd+77lYl8wBQNxDEVmZqbHbTUaDXQ6HQOtnwVtkDUajYiJiZF+97ZmWtfpKI6vy8vLky7eWq22TuuwWq1WvPLKK3jttdfs5tomJSWhV69euPrqq9GtWzd07twZnTt3Rtu2bWWtjiOHbVBzVyN1ly/Zth9Zr9dL2165cgUWiwVVVVWIjY2t9TqNRlPrAuBpLm9dMRsVBQOtVgudTifdyLqi0+mQmZkJvV7PIOtnQR1kbQW6GdFkMtl98R2ba8XmYtvRuy1atAAAvP7663j22WcBAFdffTWqqqpw8uRJFBYWYtu2bdi2bZvde0VERKBr1664+eabMXnyZMTHx0vJI8SpOkBNE7G786HRaLB//3589tln2LNnD5588klcf/31LufhypkDbNvnrFQqpeXy4uPja9XwbQc92f74Q0N8P1hbpoag1WoZOBuRRhdk5a5R6om7KTQNSaPRSH2KFotFCkSOfa9iU6rJZIJSqYRer0eLFi2wbds2PPPMMwCARYsW4cEHH5QGGWVlZeHo0aPIysrC6dOncerUKZw5cwYVFRU4evQojh49ihdeeAGDBw/GuHHjcNtttyE8PBxlZWWoqKhAcXEx4uPjawVbg8GAdevWYfny5Thw4ID0+KxZs7Bq1SpMmjTJ7hjFACX2lXoK3OIFwDGIOjZ7O46Ari93Qc7Z98PXQZG1ZaLmJ6BB9syZM9i+fTvKysrQvXt3XH/99VAqlT6ZR+rvC6Y34uLiYDabYTabAQCVlZV2TdmAfc327Nmz0r+zZs2C1WpFZmamFGCBmuMbOHAgBg4cCKvVKk0JqqqqQm5uLvbv348VK1bgxx9/xN69e7F371688cYbmDhxIiZNmoQWLVpAEASUlZVJ7/3bb79h6dKl+PTTT1FWVgagZrT0LbfcAkEQsG7dOkyfPh1msxnTp0+Xyu4pQLmaVmQ7IAyoqYE7Pi8+564vWC5vg5yvg2KgW1OIqOEFLMhmZWUhIyMDffv2hU6nQ1xcHFq1aoWNGzciMjJSdqC1DV4AUFpa6nS7QNUixEAhDtxRqVQICQmplVhfrK2JA30qKysxY8YMXLx4EWlpaXjnnXdknY+wsDCpb3batGk4ffo0VqxYgY8++ggXLlzA8uXLsXz5cgwePBgTJ05ERkYGPvvsM3z00Uc4ePCgtJ+uXbvi7rvvxvTp05GYmAir1QqNRoOVK1fi7rvvhkqlwu233+6yHLbn2zbIOo4oFs+J0Wh0GmQ1Gg3y8vJQVlaGqKioejWD1SXIXb58WfpM6otpJ4man4CkVTQajbj//vsxefJkbNu2DceOHcOiRYtQVFSEQYMGoaCgAAqFQtao2QULFiA2Nlb6SUlJcbpdoFaAEfP9ihfXkpKSWts4pi3UaDR47733sHPnTqjVaqxZs6bO5e7UqRNefPFFnDlzBl9++SVuuukmhISEYN++fZg3bx4GDRqEv//97zh48CDCw8MxdepUbN++HceOHcOjjz4qBRilUomlS5fizjvvhMViwfTp07Fu3TqX7+vqfIuDp4qLi6WEHSEhIQ0SfMSbGG/eS+wXJyKqi4DUZM1mM0pLSzF69GgANc2pY8aMQadOnXDHHXdg7NixOHTokKym4yeffBKPPvqo9HtpaanTQOuqFuHtSF935GQ2iouLg8lkQmFhoTTqNiIiAiaTCREREbBYLDhw4ABeeeUVAMDChQvRsWNHj0vQyUm8MGzYMIwZMwYXLlzAJ598gpUrV+LPP/9E165dcdddd2Hq1KlISEhAaWkpDAaD030sXLgQlZWVWLNmDWbMmAEAmDBhQq21aK1WKwRBgNVqRVVVFaqqqqS+6ZCQEMTHxwOA3YAn2wxXtmwHbon7lZMxC5D3+braxrbmK2YQkzNewNdpM4mo6QpITTYmJgZWqxU7d+6UHlMoFOjSpQtWrFgBo9GIOXPmSI+7o1KpEBMTY/cjvs5XP3KFhIQ4/TGbzbh06RIUCgVCQ0OltIsmkwkKhQKRkZFISEiQ8h9PmzYNVqsVU6ZMwfTp06FUKt3+eHs8bdq0weOPP47ff/8dZ86cweHDh/H3v/8diYmJHl8bEhKCt99+G9OmTYPFYsGMGTOwZs0aaWqPuJ3tdJ/Q0FApXaNCoZASXyQmJiIqKko6T6GhoU6Pz/b8eHPM9f0e2NZ8vfku+OO7RURNU4MHWbEWcvvtt+PAgQPYvHmz3fM9e/bElClTcPTo0aBZ9UXsnwRqps0kJCQ4bSK1Wq2YOXMm8vPzkZaWhkWLFvn1QqxUKtG6dWuv30OpVOKtt97C1KlTYbFYMHv2bGzcuNHueDQajd0xajQajysBicSEFfX9/I1Go93KQiLHFYeIiPylwYOseEGfPn06BEHA4sWL8eOPP9o93717d+Tn5wfNRdCxf1KtVtv104pee+01bN26FWq1Gp9++mmjHoUqBlqxj3b27NnYtGmT9LxtX7Q3uYuB2n3UdQ26er0eBQUFUgKMoqIiFBUVIS8vDwUFBVKiECIifwlIc7EgCOjYsSOWLl2KvLw8vPbaa1i5ciWAmv7aX375BW3atPEqwXtDKyoqgk6nkxI7uONswI1j4Ni1a5c0H/btt99Gjx49/FNwH3I2GOqDDz7A5cuX7fo5xcUNnAVJZwHUsdZrNBphMBiQl5dX59qtGLj1ej1UKhWuXLkijWomIvIXvw58qq6uhiAICAsLkx4Tk01YrVb07NkTa9euxdNPP42XXnoJTz/9NDp37oyjR49ix44ddnlsGxu9Xg+z2Qy9Xl+nKR62fZYqlQqzZ8+G1WrF9OnTMXPmTD+UuG4EQYBer4fBYECHDh1qNS2LgRYAVq5cifvuuw/33XcfwsLCkJiYiFatWiE+Ph4tW7ZE69at0bZtWyQmJqJNmzYYPHgwzGYzDAaDtAIQ8L9asEhcEUgMiuISeLa1UGfzn8WatG2wFvcrLtDAKTVE5E9+C7LHjx/H/PnzkZ+fj86dO+P666/HlClToFQqYbFYEBISAqvViu7du2Pp0qXIycnBli1b0K5dOwwfPhydO3f2V9F8IiEhwS4weOKYnME2af7KlStx/PhxxMXF4d///neDDoixWq0oKChAbm4ucnNzkZeXh1OnTuH8+fM4e/Yszp49K40KHjBgAF544QUMGjTIbh9ioG3Xrh0WL16My5cvo6qqCvn5+cjPz3f53uHh4bj22msxePBgXH/99VAoFIiNjbVLPGHbp2v7r9jPffnyZbRo0cLp/GfbFI6A60xUvhxhTkRkSyH44Qpz4sQJDBw4EBMmTECXLl2wfft2GAwG9O7dGytWrABQk2whPDzc12+N0tJSxMbG4sqVK7WyKjmSe+jOpmQ4yyDlauqG0WhEbm4uwsPDERMTg5YtW0rbrV+/XhpA9MILL+DJJ5+UXldeXi5ryoirtVOrqqpw8eJFKdidO3cORUVFyM/Px/nz56XHKysr3e5fHFUsDt66+eab8eyzzyI1NdXpOTaZTCgqKkJhYSEKCwulflHx98LCQikFpK0ePXpgzJgxyMjIQHp6OsLCwqSbmerqaoSGhiIhIUFaXN5TTVbuVBpfbwc03vVp5f59ePN3RLUdPHgQ/fr1w2+//Yb09PRAF6eWxl6+xs6bvw+f12QFQcDHH3+M0aNHY9WqVQCAuXPnYsWKFXj//fcxefJkrF27VgqwK1aswHXXXecyiURDcJdy0dVz3mSQKi8vR3h4OCorK+1qU7YBNjMzE/Pmzav3sej1erzzzjtYu3YtLly4IOtGQqlUom3btkhNTYVWq0Xr1q3Rvn17aLVapKSkoG3btrh8+TIWLFiA1atX46uvvsLmzZtxzz334LnnnquVsEGtVtslKbdN+ygSBAHZ2dnYtGkTNm7ciD179iArKwtZWVlYtGgRkpOTccMNN2DixIkYPnw4KioqpOOzraEy4T4RNWZ+qcnOmjULp06dwq5du6THTCYT1qxZg8WLF2PMmDFYsGAB9uzZg5kzZ2Lw4MFYuXKl7AQD7tSlJltUVCTVlBz7V109Zxt8AdcXe6PRiMLCQgA1S9OJC6F/+umnmDVrlhRgP/jgg1rH701N1mAw4K233sIHH3xgN5gnLCwMycnJaNOmDVq1aoXU1FS0adMGbdu2tfvXtt+8tLTUZStDVlYWnnnmGWmOc8uWLfGvf/0L999/v90+bDkLso6Kiorw7bffYtOmTdi6datdLXX8+PH45JNPUFFRAYPBALPZjNTUVOlGx9nnBnhXQzWZTB4Dtrv9Od6MsSbbvDX2mmJjL19jF7CarHgRSk9Pxx9//IHs7Gx069YNQE3t5vbbb8eJEyewc+dOXL58GUOGDMG8efNw3XXX+STAOpbF0/2DmKHJMbOPrcjISBQWFsJsNiMyMlJqllWr1dL/xebMsrKyWsnwxcdCQkKgUqlgsVjw2WefSQF26tSpWLJkCaxWa600kpcvX0ZoqPuPqKCgAG+88QbWr18v1fZ69uyJBx54AOnp6WjRooUUqLOzs+2CZ3V1tdQXa6uqqspljuDY2Fi8+eab2L17NxYuXIgzZ87gkUcewVtvvSUthecYYCorKz32XatUKvz1r3/FtGnTUFFRgf/+97/YtGkTPv74Y2zatAnDhw/HkiVLEBERgdjYWKkFoaioCGaz2S7blMhiscBsNsNkMtmtaetIEAS7lgl3o9rF74dtUBaXELR9fWMNskTUsHw6hUe8sNx44404efIkXnvtNbv0fDExMXj44Yfx66+/YseOHQCAe+65Bx06dPBlMbwqr6vMPrbPiYOVysvLnWbtEefBunq9mJRBoVBgw4YN0pSXadOmYfny5QgLC3Oa6UilUrn8uXTpEubPn4+hQ4dKtby+ffti5cqV2LRpE8aPHy9NgxJfU1ZWJqU4dPdjNBoRHh7u8kelUmHUqFH4+OOP8fLLLyMhIQFnzpzBvffeizvuuAO7du2yu1kRb2bk/qjVaowZMwZvv/02tm7disTERBw9ehQTJ05Efn6+3aAo8bMRs02ZTCYUFxdLSwaK04fE7FqufmznMsvJICX2NRcWFjp9PRER4Kd5sp06dcK6deuwZs0aPPnkk3aLlYeHh6Nv375S7tqmwNPiAmKQ9jSv17YPdtq0aVi2bJnXNfjz58/jiSeewIABA7Bs2TJUVFSgT58+Ul/pyJEjG+wiHxoaimnTpuHHH3/E7NmzoVKpsG/fPmRmZmLUqFFYuXKltGReXQ0aNAi7du1Ct27dcPHiRdxxxx3Yt2+fy0xSzhZbMJvN0kpHIsf5uXVZPMBWfV9PRMHJb8ko/vKXv+Dzzz/H8uXLce+99+LTTz/FsWPH8Prrr+PcuXPo1KmTv97a59RqdZ0voOJ82LVr10oBdurUqXUKsJs3b8bAgQPx4Ycfwmw2Y/DgwVi/fj1Wr16Na6+9NmA1qOjoaMybNw87d+7EzJkzERUVhdOnT+PZZ5/FoEGD8MILL+DEiRN13n+HDh3w008/4S9/+QvKyspw66234t///rd082abPcsx6DrWdkWOwdhbSUlJaNWqFZKSkup8XEQU/Pya8WnChAnYs2cPLl26hH/84x+46aab8NVXX2HLli0BHU3cEMSaEgB8//33uP/++6VBTu+//77XAdZkMuEf//gHKisrMXjwYHz11VfYuHFjQIOro7Zt2+L555/H/v378fzzz6NTp04oKyvD6tWrMXDgQNxyyy3Yu3dvnfYdFxeHjRs3SovYz507Fw899BBOnTplt53j0oLiY2Lftlh79SaXsjOsuRKRHH5Pq5ieno5vvvkGP/30E77++mvs3r0bffv29ffb1omYUN4XqfbEGixQszycxWLB5MmTnY4iluPAgQO4cOEClEolVq5ciaFDh9a7jP4SFRWFmTNnYvv27fjkk08watQoKJVK7Ny5EzfeeCNefvllac6tN8LCwvDee+/h+eefBwCsXbsWw4cPx+zZs3H27Nla25tMJrsmYXFwkhhkneWPJiLypQbJXRwTE4P27dujR48esjMkBYLtCFFPPAVk2wFP4gjrzp0713kUdf/+/ZGamgqr1SrleW7sFAoFhg0bhnfffReHDh3ClClTIAgCXnvtNUyYMMFtNih3+3z88cfx9ddfo2fPnigrK8OSJUvQuXNnfPTRR3bbioOexNHfJpMJJSUlPjo6IiLPArJAQKCJAVJMFyjyNMDJlqeAbFtTGj58OABg69atdS6zWq3G448/DgD44osvmlwqwNTUVLz33ntYtmwZoqOjsXfvXowYMaLOzcfjx4/HoUOH8O233yIjIwPV1dW455577M6xWq2WskSFhoZCrVYjLi7O5T7ltGT4srWDiIJfswyyrgKkN/1scgKy2C87YsQIADVNvsXFxXUu97hx4xAREYFTp07h999/r/N+Aun222/HTz/9hO7du6OwsBATJkzA8uXL63TToFAoMHbsWGzfvh2ZmZmwWCyYNGmSdG7EJQVtm4XFObXOyGnJ8Ka1g4ioWQZZb2qsrrgKyLZTQ8R+2fDwcHTp0gWCIGD79u11fs+oqCiMHj0aAPDll1/WeT91UVRejcMXjCgq974v1VHHjh3xww8/4JZbbkF1dTXmzp2LBx98UEqm4S2FQoFly5ZhxIgRMBgMGD9+vNQULX4eRUVFUKlUbjM6yfle+OK7Q01bXl4eDh486PZHp9MFupjUSPh1qbvGSkxk4M0CAa7YZv4JCwuzW8JOrVbDZDLBbDbjmmuuwcmTJ/Hdd9/hxhtvlNU3azKZaqUqnDBhAjZu3IgNGzbg8ccfh1KpxIULF3D58mWP+zt9+rTHDFJATSYo277Lw6UabC6KhQAFFBBwY+IV9ImpOU4xZaQ7VqsVVVVVtR5//vnn0aFDB7z55ptYvXo1Dh8+jNWrVyM5Odnt/sxms9Nm348++gijR4/GiRMnMH78eHz77bcICwtDdXU1FAqF1GRcXl4uZYFSq9VSpq2IiAgp+5P4mYuDpMT/R0ZGSuMKXH0vbBcw8JRXubGMDCd58vLykJaWJqu7wHHJRmqegjbI2mbpcbeNHO7yB5eXl6O0tBRFRUVITU1FZGSk9AdYUVGByMhItG3bFsOHD8fHH3+Mbdu2ITw8XFaQbdmyZa2gOHHiRMydOxf5+fnIzs7G0KFDERsbWyudozMajaZWMn9ndDqdNP+ztFopBVgAEKDA5qJYdNRUoOpKMVJTUz3uT8wg5cz999+PHj164JFHHkFWVhauv/56fPjhhxg8eLDL/SmVSqefXcuWLbF+/XqMHDkSR44cwYwZM7Bq1SqEhoYiJiZGWl4wLy9POl9ijVTcn+P8Wcf/y1kQAvjf90Kv1yM1NZWjmIOE2Eq1evVqpKWlud02ISHBZXpSaj6aZXOxL0VGRsJsNkvJDmzvXsULdEJCAqZOnQq1Wo38/HwcO3aszu8XERGBCRMmAAA+//xznxyDO5eqQqUAKxKgwOUq392fDRs2DOvXr0eXLl1QWFiIm2++GR9++GGd+mnbt2+PdevWQa1WY8eOHXjqqacQHx8vBdg//vgDxcXFKCkpcRr4bOfPOvu/3GbiyMhIaTlH9t8Gn7S0NKSnp7v9YYAlIIhrsg1Fo9Ggffv2tWo4touyAzXBMSMjA9999x1++OEH9OrVq87vefvtt+OTTz7Bl19+iddff73O+zl8+DA++OADWCwWhIaGSj8Wi0UamauMigfGPQco/nc/poCAFmHVqN0AXHdarRYff/wxXnnlFXz99deYN28ejhw5gldffRURERFe7at///5Yvnw5MjMzsXLlSlx99dV49NFHYTQaYbVaIQiCFHgd2TYNOzb3ebO6jkajkVYKYv8tUfPFIOsDYk3HdhUd8TFbY8aMwXfffYdt27bhscceq/P7jRgxQlrM/Mcff0S7du3qtJ/NmzfLyC2ci6iQt9FyzBwolCEQrBa0OP09LlrkNT17Q6PRYPny5ejduzdefPFFfPLJJ9DpdPj444/RunVrr/Z100034aWXXsI///lPPP7442jfvj3Gjh0rLYnnrK9MHKxWXl4Oq9UKvV4PrVZbr6xQbCamxkzOAC02e9cPg6yPiRdqke2FduTIkQCA/fv31+s9QkNDMWrUKKxduxY///wzJk+eXKf9nD59GgDw4IMPIikpCdXV1bBYLDh9+jRat24t/V5dXY0LuV/gwB95KPwzC3mGYhxGTZKRUaNGISMjA126dPHJIB6FQoGHHnoIPXv2xD333IODBw/ir3/9K7766iuPA6IczZ49G+fPn8fixYvx6KOPYuzYsW4vFmJ/LFAzuKqsrAxHjhxBly5dOICFgoo4rS0zM9PjthqNBjqdjoG2jhhk68l2se6IiAjpQl1SUoK4uDi7JmNxRKyzkbbeEu9Au3fvXud9dO3aFdnZ2Th37pzdws2VlZXo3Llzre3HjxJw6tQp/Pzzzzh06BBKS0vx5Zdf4ssvv0Tr1q2RkZGBjIwMtG/fvs5lEv3lL3/BDz/8gIkTJ+L06dO4+eabvQ60CoUCL730Et59912cPXsWZ86cwdVXX+1ye7GJX1yE+ciRI6isrMTJkye9qpXKWQCeKJC0Wi10Op3dCmnO6HQ6ZGZmSq065D0G2XqyTU4QEREhXajFmo/4u9ForJVhqq6Kiopw9OhRAEBGRgYuXbpUp/0MGjQI2dnZ+P3333HTTTd53F6hUKBLly7o0qULpk2bhn379iEvLw/79u3DxYsXsXbtWqxduxY33HAD7r///lrTj7zVoUMHfP311/jrX/9qF2i9aaaOjo5G9+7dcezYMRw6dMhjkLUNil26dMHJkycRGxtrd7Pkie13wtk8agZgagy0Wi0DZwPg6OJ6ckxOIA6Wsc00JNZufRVk//vf/wKoqcW2atWqzvvp0aMHAODPP//0Ok1gWFgYunfvjieeeAKffvopnnjiCQwePBgKhQJbtmzBvHnzPN4ly6HVavH1118jJSVFCrQXL170ah8DBgwAABw6dEh6zHE9WWcSEhLQu3dvJCUleRUQ3SWsYMYoouaFQbae5KRiFKd/eFrUXa4ff/wRQE2Tan0kJCSgdevWsFqtOH78eJ33I46cfuaZZzB//nxERUXhjz/+wEMPPeST9I+OgXbSpEm4cOGC7NeLQVas/QOe15O1XarQ3Wo9znIZu1t/mBmjiJqXZt1cLHceptVqlTWox2q1Ok1cIWYWsq3JVlZWetxfSUmJ0yQTO3fuBFDT3GswGJCTkyMruUVBQUGtGlT79u1x8eJF7N+/XxrBm5+fL2uFnIiICOTm5tZ6/KabbsL333+P4uJiPPnkkxg9ejSmTp3q8RwqlUq35+Wdd97B/fffjz///BNjx47FunXrPI46VqvV6N+/PwDg4MGDqK6uhlKpREREBC5duiTNZY2OjrZ7nW0QFm+OBEGo9fna1kxtt3NXHtvtmPGJKLg16yArl5zsUYDrTERin6xtbl5XGZBsqdXqWv2aeXl5UlC99tproVKpEBsbK2suaadOnWpN97FYLFLfanp6OhQKBfbs2SMN/nHn5MmTLgc5jRgxAr/++ivy8vLw/fffo7y8HHfddZfbzFQVFRVun+/QoQM+/PBD3HXXXfjzzz8xefJkt4OhxCDWq1cvqFQqlJSU4PTp0+jatSsiIyNhMplgsVhgNpsRGxtr91rbec5iYBUEQfosNRqN1K8q/m6bNUpMwch+V6Lmjc3FDUCsFdV1gJKtn376CQCQnp4uKxB60qtXL4SGhqKwsBDnz5+v9/5EoaGhGDx4MPr06QOFQoHdu3fj+eefR1FRUb3227ZtWyxZssSuj9ZT03FYWBj69u0LAPj111+lx8U1f22b8cvLy6UyJiYm1mrWdWxmjoyMrLWduA37XYmIQbYBiH2yvhj4JA56ysjIqPe+gJomX3Ea0MGDB32yT5FCocBVV12FMWPGICYmBjk5OXj66aeRlZVVr/22adOm1mAoT4F24MCBAIA9e/ZIA55s1/wV2QZRMeDaBkvxswRQ6znHbdjvSkQMsg1AvJjXd+CTIAg+D7IA0K9fPwDAb7/95rN92kpOTsaLL76Ijh07oqysDK+88gq+/fbbeu3T21HH4uCn/fv3o6ysDEePHsXhw4drjYC2zVfsWGstLy+3m8rjauCUN+sSE1FwY5D1A8fpIeLvYvNuVVWVrIFFjoqKiqSmzJ49e/qsvGI/qDcjdr0VHx+Pf/3rX8jIyIAgCFizZo1d021dOAbahx56yOWgI7Eme/z4cZSUlKC8vBwGgwHFxcV229n2swKQAi5Qk2RCDKy2wZiIyBUGWT9wrAGJvycmJmLYsGEQBAFvv/221/tNTEyUBvnUN0CJzp07hxUrVgCAtCC8twRBQGlpKXJycnD8+HGXi6+Hh4fjnnvuwbhx4wAAq1atkjXK2h2tVot169ZBpVJhx44dWLdundPtOnbsCK1Wi8rKSuTk5KBdu3aIjo5GfHx8rW1t0yva9reKiyYwsBKRXAyyDpzNe/SWbb+d2BwpXpwff/xxAMCyZcvsFkaXQ6FQ4LrrrgMA/PDDD3Uun6iqqgqvvvoqzGYzevfujVtvvdXja2wDam5uLnbs2IENGzZgy5Yt2L9/P37//Xfs3r3bbrEEx2O49dZb0bJlSxQXF2PLli31Po4uXbpg3rx5AICnnnrK6ULyCoUCY8aMAQCsWbMGV111Ffr06eM0J7FtLbW8vBy5ubnSVCUx6HqaZ0tEBDDI1lLXjDxGoxHFxcW1lkgzGAzQ6/VSyr4bb7wR3bp1g8FgwLJly7wun1jb/OGHH+q03qqtzz//HKdPn0ZMTAzmzp3rcnH6yspKHDlypFZAvXjxIoqKilBdXY2QkBDEx8cjLCwMxcXFOHLkiMv3ValUuOOOOwAA33zzjdc3G8787W9/Q8+ePVFSUoInn3zS6TazZ8+GUqnEhg0bsGfPHpf7sh0xbDQaYTAYYDAY7AauOTYXOxskRUTEIOtAbkYexxqvGJwdV+CxXdAdqJlL+8ADDwAA3n77bZdNq65kZGQgLCwMZ86cwalTp7x6rS2TyYSvv/4aAHD//fc7bTYV7du3D9nZ2bUCaqtWrTBw4ECMGTMGEydOxHXXXYdBgwYBAE6cOIGzZ8+63Oc111yDTp06oaKiwieLz4eFheE///kPQkJC8PXXXzsdWNWjRw/MmjULAPD444/LukkRp/k4Nmvb9t2KA6JYsyUiR0xG4UDuaiuOSeAjIyOl/4sXb7VaDa1WK9VuxccnTZqEBQsW4OLFi/j4449x1113OX2PsrKyWskoFAoFBg0ahN27d+Pbb7/F3XffjdLSUqkP0Z3Tp09LgfnAgQMwGAxo0aIFrFarlKoRqGniFgdmGQwGaUBUu3btoNFoEBERAYVCAUEQUFJSUqsm2qJFC1y+fBl79+5Ffn4++vTpg59//rlWeXr16oXTp0/jxx9/RFJSErp16yZrSTmxZunM5MmTsWbNGjzyyCNITEyslXryqaeewqeffor9+/fjvffew7hx49CyZUuXc47FVgnx/NoGZsesUMXFxaisrER5eTmioqI8HgcRBb9mHWTlprRztp0YVCMjI6FQKFxm94mMjKxVK46Pj8dDDz2Ef/7zn/jPf/6De+65x2laxNjYWKeP33DDDdi9ezd++uknPPLII+jTp4+sOZnff/89VCoVLBaLNHBqwIABtZqJ9Xo9oqOjIQiCFGzj4+PRsmVLaRtBEOxyATsjCAJycnIQFRUFrVYLE1QoU2oQZTVCDTNSUlKklW727NmDTp06ISkpyeNxGAwGl03bM2fOxK5du3D27FksXrwYo0aNsnu+bdu2eOyxx/DCCy/g1VdfxZAhQ6SmX9tMTrbEGqtarbb7LthmexIzSIkLQTimaSSi5onNxXUUGRmJpKSkOiccmDlzJmJjY3Hq1Cl89dVXXr32+uuvB1CTWMFVjc4dnU4Hg8GAyMhIaSUeZ0pKSlBRUQGlUul2tZ+Q6HiotD0REu28yfn8+fPIUbbB1ohrsUc1AFsjrkVuSFsAwNChQxESEoJz587h5MmTXh+LI5VKhXnz5kGhUODbb7/Fjh07am3zyCOPIDk5GefPn8fatWuhVqulWqler7frW7WdG2v7WTt7nNN6iMgRg2yAhISEYPLkyQCA119/3atBTJ07d0bHjh1RVVUlpVmUSxAE7N+/HwDQv39/aRS0I6vVKiV3SEpKcrldVK/RaHv/CrSesgBt71+BqF61pwGVVitxJLw7INYCFQocCesOE1SIiYmRUh5u377dJwva9+zZEzfffDMA4IEHHqg1GCkyMhLPPfccgJpR3mIzv3iMzqZfOfa1OnvcWYpFImreGGQbkDhYymQyQa1W4+6770ZERAR+++03uz5ROcRRxlu3bvXqdadOnUJxcTHCw8PRp08fl9vp9XpUVVUhLCzMZT9pSHQ8Wo55EIr/33SrUCrRcsycWjXa0BZtAIX9V01QKFCurKnx9e/fHxqNBpcvX8YXX3zh1fG4cs8996BVq1bIycnBs88+W+v56dOno0ePHigpKcGCBQukAJmQkGBXG3VVO2WtlYjkYJBtQOJgKZPJBI1Gg759++LOO+8EAHzwwQde7Uvsa9y7d69Xrzt9+jSAmgXf3a14Iw5mCgsLcznnNbRFGynAihTKEITGtbF7LKLKAMFhHwpBQKS1phYYHh6Oa665BgDw0Ucf+STHs+2c5CVLlsBsNts9HxISgldeeQUAsHjxYqxfvx5A7dqoq9opa61EJAeDbAMSpwfZ5jAWm4y3bdvmMpg507ZtTZ/m5cuXvSqDOFXnypUrbrdr3bo1FAoFjEYjTp065XSqUfXl/FrBU7BaUF1inzKyTZwal75/G4LVAqAmwPauOg41/hf40tLS0KJFC1y5cgUbN2706phcGThwINRqNaqqqnDu3Llaz48ePRr33nsvBEFAZmYmNm3a5Haeq+1cWM6LJSI5Gk2QrW9ihaZATBxvG2R79uyJyMhIFBcX49ChQ7L3JU45KS0t9ercpaamAqhJp+hu2k9MTAw6d+6MsLAwVFZW4tSpUygrK7PbxmIotguegtWCS9+/A4vBPh9weHg44q+cwPkldyH2t5UYXfFfpFrsl9VTKpXSHNtPP/1U1pQkTxQKBVJSUgDA5ZzdN998ExMmTIDZbMbMmTNx+PBhl/uzzV3MebFEJEdAg6zZbIYgCLBarbKn0wSb6upqaYUYb1Il2i424NgU6o64OoycRQrUajW6dOkCjUYDq9WKnJycWjW3sqM/4PySu3BxzZM4v+QulB11fgzdu3eHxVCM03u3QGV13hzcq1cvtGzZEhcvXvRJ2kgAHoNsSEgIPvroI1xzzTW4fPkypk6d6vK8qNVqVFZWOl08QMQaLhHZCliQzc7OxsyZMzFixAgMGTJEqkF402QK1ATq0tJSu5+mRK1WY+TIkQCAzZs3y35dVFSUdGPizTQehUIh1WbFfLzuhIaGomPHjoiKioLVasWZM2dq1d4shmKYz/5eqwZrq0OHDoiIiEB5eTny8vJcvtekSZMAAKtXr/b6u+CMVqsF4DrIAjUtDN988w26du2Ks2fP4vrrr7cLtLYLuWs0GoSHhwNwv6g7gywRAQFKRnHs2DFkZGRg0qRJ6NGjB3799VeMHDkSJ06ckJXxx9aCBQswf/78OpVDbjOrIAiyatpy92cymewG99x666145plnsG/fPhQUFCAxMRFAzQ2Es2QUoujoaJSWluLPP/90u52oqKgISqUSsbGxAICTJ0+iU6dOtbarrq6u1TQsZj2qqKjAn3/+iTZt2tR6nTs6nQ4JCQk4d+4c9u7d6/TGoFOnTujWrRsiIiLw559/YvXq1U6X9CsqKqq1DqwzMTExUjlzcnJcrvhjsVgQExODb775BhkZGTh+/DimTJmCzZs3Izw8HGVlZaiurobVakVUVFStDF62xAQVkZGRsr4PzbUFh6i5aPAgW1hYiHvvvRczZ87EokWLANTc/Q8aNAhr167F7NmzZQc1AHjyySfx6KOPSr+XlpZKTYT+IuardZblSU65KyoqYLFYcOHCBahUKkRGRqJPnz44fPgwtm7dipkzZwIA4uLi3O4vJiZG6pOVk8ZvwIABiIuLQ58+fbBv3z4UFxfjmmuucTo9RawBOpZ7xYoVOH/+PEpKSpCcnIy4uDhZx6tSqZCamopz585Br9dDoVBINUJReXk5WrVqhZEjR2Lz5s3Yvn07hgwZUmt/58+fl24U3ImIiJBq7efPn6+VolKkUCigUCjQsWNHfPPNNxg1ahR27dqFhx56CEuWLIFarZamXYmfh/gaR+J3gsGTiIAANBf/8ccfKC8vx4wZM6THNBoNWrVqJTXReXOBUqlqEhrY/vhbfVbqEZsdHUcZjx8/HgCcJrZ3RQw0jrVOT8Tk/oIgIDs7W/brIiIiMHPmTLRu3RplZWUoLCz0KnlEdHQ0YmJi7NI1OjN27FiEhobixIkTOHHihOz9O+OpT9ZR37598dlnn0GpVGLFihVYunQpNBoN4uPjoVarpc++sLBQ9pKIvlg+kYiapgYPssOHD8cTTzyB3r17A4B0kW7dujUsFovdto6/NxRPF0U5K/U424d4gQZqml+1Wq2UmnHYsGEAapJLyF3IXLyh8DbIAjUDkQDg+PHjXr1Oo9HgzjvvREJCAiwWC3Jzc70KtO3atQNQM7rZVXNqixYtpPOxadMmp9uYzWbo9XqcOXMGR44cwaFDh5yWw7ZPVm5z/vXXX48XX3wRQE0Kxu3bt0vPiZ89AOlGy9P3pa43ZUTU9DVoc7HYDDxlyhQANYOcxCa8kJAQuzmfb7zxBrp27SrV8BqS4wo7juSs1ONsH7Yr9djuR6/X4+qrr0ZiYiKKiorw008/SRmd3KlvkN25cyeOHTvm9WujoqJw1113YdGiRaiqqkJeXh5SU1Ndpl60lZycjOzsbJSVleHKlSsum5tvvPFG/PTTTzh06BCWLFmC8vJyaWDblStXnAbUW2+9tdb3RZxPbDQacenSJbdL+tl67LHHcOjQIXz++eeYMWMGfvnlF7Rp00b6zGwXiPD0fbHdloialwatyTo2AyuVSql2YbVapcE7zzzzDObOnSv1pzU0uWvKersPZ/NkxcfDw8MxduxYAHCa1N4ZcYCUmIvYG2lpaVAqlbh48aK0Io83YmJi0KpVK4SGhqKystJjcgtRWFiYtJrPpUuXXG6XnJyM/v37AwB+/vlnHD58GH/++aeU7hGoaXJv0aKF9Jo///yz1n4iIiLQunVrAMCZM2fkHRxqvqtLly5Fz549UVRUhHfeecfuefGzFAOu42dtW7u13ZaoKdLpdDh48KDbH1ezBpq7BqnJuhvIZLFYpBpQq1at8Oabb+L111/HgQMHnI4sbQhy15T11T7EbdPT07Fq1Sop9aEn99xzD9asWYMtW7bgpptuQkZGhuzyRUZG4oYbbsC3336Ljz76CF26dJE1iMlWaGgo4uLioNfrZTdxW61WKSB7Grw0Y8YMtG3bFmFhYYiJiZH6dIuKitCjRw+o1WoIgoB//etfyM/PR9euXZ3up3v37rh48SJ+//13KXDLERkZiQcffBD33nsvDhw4AMD5oDdnn7Wn2i1RU5CQkACNRoPMzEyP22o0Guh0OqeDJpuzBgmy7gYyiQE2KioK8+fPR1RUFHbt2oX09PSGKJpPuBtt7I0OHToAkF/jGjBgAObMmYO33noL8+fPxzfffOPVYuE333wzfv/9d+Tl5WHlypX4+9//7vWoWLG5X26/bHFxMaqqqhAeHm5XC3UmLi4Ot956a63HLRaLdJ4PHTqE/Px8qNVqXHvttU7307t3b+zYscPj+rfOiN/DgwcPwmq1yg6ebCKmYKDVaqHT6TxOmdPpdMjMzIRer2eQdeCXIHvy5EksX74cFRUVSE5Oxpw5c6TFzcVarWPtVrwY7du3TxqU01T4otZiNBqloOOs2dOVZ555Bl9++SXOnj2LRYsWOV1xxpXQ0FDcfffdeP7553HkyBHs3r0bw4cP96rc4k2S3CBbUFAAoKbVwtXC63IJgiCNxv7LX/7i8tyLLSJHjhzx+j26d++OiIgIGAwGnD59Gu3bt5cVPH3RGkLUGGi1WgbOevB5n+zx48fRv39/ZGVl4fTp01i0aBFGjhyJr776CpWVlVAoFHZpFMU7pBdffBFnz55tEgHWcTSpL/pwjUajNEinpKREduJ/jUaDZ555BgCwdu1a/PLLL169b0pKirT26po1a2QlebAl1mTl5Bq2Wq1SkBX7Sevjjz/+wJ9//onQ0FBpIXtnxJHsv//+u9dZpEJDQ9GrVy8ANbVZ9q8SkTd8WpOtrKzE008/jUmTJmHZsmUAapJD3HLLLXjppZdgNBoxefJkqfbz2GOPITc3FwsXLkT79u2lIOMLgiB4nLLhTcYnW7Y1V7VaLf1YrVZZ+7RYLDCbzVKCA/EHqKnhFRQU4OTJk+jWrZus2t7VV1+NiRMnYsOGDXj66afx2WefISIiotZ2paWlToPhgAED8MsvvyAvLw/vv/8++vbtKysfcmVlpbQ6j9VqhV6vd1re6OhonD9/HgaDAVVVVQgNDYXJZML58/aLBISFheG///2vx/dVKBSIjY3Fl19+KZW/srJSmoMsioyMRGlpKVq3bo3w8HAYDAZkZWWhffv2dtuZzWZER0e7fL9evXrhl19+wS+//IJp06Z5LJ/VapVdS2fSCqLg5tMgGx4ejtLSUqSlpQGoaUKMiYnBpk2bMGnSJCxatAhdu3aVEuIPHToUK1eurJX5pyHJvcg5Nm2LTYa2jyuVSphMJo/9syEhIdKKLiaTCZGRkdK+tFotCgoKkJOTg759+8oqX6dOnfDGG29g7969OHfuHD799FO88MILtbZz16TauXNnTJ06FadOnUKHDh1k9Yn/8ssviImJwaVLl1BdXY3WrVs73b/RaETHjh2lVYbatWvnNJ3jpUuX0KpVK4/vGxcXh1atWuHEiRMICQnBvHnznKZ5FAfVhYaGIi0tDUeOHIFOp0Pnzp2dbueKeC6OHDki6/NQKpUMnk1QXl6erL5HIm/4tLlYrMn98ccfACAtk6ZWq7F+/XpUVVVJk/wBYOLEicjNzfU6D26guWsylJt4QKPRSBf23Nxc5ObmoqioSMpQ5M10E6BmSs2///1vAMB7772H3377zavXp6am4sEHHwQA/Pjjj141G4s3Se5GGFutVly4cAEA6vR5VygjcCk0ARXKmhr6qlWrAADXXXedrP316NEDQE2Tsbf69u0LoCbIym1uZpanpiUvLw9paWno16+f25/MzExoNBqvc6xT8+WzICsIApRKJf71r39hy5Yt0gU/PDwcJpMJ4eHhWLx4Mfbu3YusrCzpYhVsoy/l9s/a/qGKi4AD/xth7M3gJ9H111+P22+/HVarFQ8++KBXS+ABwKRJk9C/f39UVVXhiy++kB1QxCDr7v3E+a0qlcrrC9R5VSp2xY3Bb7HDsCtuDLKMMdJcYtv0nO6IQTYrK8ur9wYgLVpQWloqe3oVszw1LXq9HkajEatXr8Zvv/3m9ofTVMgbPmsuFpvH+vXrh0ceeQRvvfUWwsLCMGfOHKm/UVwBJjo6WuqzClSzmq+m3djuR61Wux1VKm4rPm87cEr8V+wv9LYmK3r55Zexc+dOZGdn48UXX8Tzzz8v+xwrlUo888wzuO2225Cbm4tdu3bJmnsrBlmxf1ZUXV0tLUV48eJFADVJJrz5zCuUETge2QcQX6NQ4HhkbygiW2Bor261mn5dEUcY1yXIhoWFoWfPnvj1119x4MABdOnSxeNrOIWnaUpLS2tS0wep8fNpn2x1dTWio6Nx5513oqKiAi+99BIuXryIuXPnorq6Glu3bkVYWFijGJnpq2QBjoOg5GwrBleDwQCz2QytViulVxRz+548ebJO5YmPj8eiRYswc+ZMLF68GCUlJXj99dedDoRypk2bNhg5ciS+++47bNu2Dd27d5cyS7ki7vvixYswGAwQBAFms9lp7mlvm4qNyqj/BViRQonQuDaya7FAzeAwoCZn8pUrV2St4mNLTGEpZw1egFN4iKiGz5qLxcEjOTk52LNnDx544AE8/fTTeOedd9CjRw9ce+21WL58OVavXu3xot0QfDHtxtv92CaX1+v1yMnJgdVqlYKuRqNBt27dANT0EdUlJzEATJgwAS+88AKUSiU++eQTjB8/3u2qN4569eqFLl26oLq6Gl9++aXHZuPExEQkJiZCoVBICfPFACuuNtS2bVv07NnT66ZijbUMcBixLVgtiFWapak5csTGxiIpKQmA903xWVlZ2L59OxQKBSZMmODVa4moefNJkK2urkZISAhycnLQtWtXbN++HZ06dcLs2bOh0+mwcOFCLFy4EPv27Ws0TTFin6gv0ifKnTcpbgvUDASKiYmBUqm0S8/XtWtXKRh4swydo9mzZ2PdunWIi4vDwYMHMXLkSNkZjxQKBW6++WaEhYXhzJkzUkpBV0JDQ9GxY0f06dMHHTt2RNeuXdGzZ0/0798f/fr1Q+fOndG/f3907NjR6+6BCGsFupcfBoT/H+gFKy59/w76de/k9b46duwIwPsgu2DBAgA1A/XEGjERkRz1DrLV1dVSDTY9PR3Tp0/H8uXLAdQEkuTkZNxxxx248cYbm9RgAWejQ301YlRMKi8ud+cYoMULubfL0DkaOXIkduzYge7du6OwsBB///vf8fnnn8uay9uyZUspwcOWLVtQWlrq8TXh4eFITExEixYtoNFopAUf6qutORfDS7ai35XdMK17HGVHf/AqB7GoLkE2KysLX3/9NRQKBW677bZac3EBjiQmItfqFWQdA+xNN92E999/X8oCVN+0eYHkbHSor0aMqtVqpKamIjU11WkNWMx6VZ+arKh9+/b4/vvvcfPNN8NiseDVV1/FCy+8IGvk8ZAhQ9CuXTtUVFRg48aN9S5LfURYKxBlzEdRbs0i7v369fN6H+KApVOnTsl+jViLHTFiBFq1auU0yHIkMRG5UueBT7Z9sGKAXb58uaw1RRuCnIxP4nbO2I4OFfMsexoxKjeDlMVicXsDIibzyMrKkpUT2FPADA8Px5IlS5CYmIgPPvgA33zzDU6dOoWXX37Zaf94aWmptM+MjAx8+umnyMrKwsKFC6XR2BqNBoWFhSgvL0dYWJiU9CEsLKxWM67FYpGVJrKyslKaS+tMQUEBBEFATEyMtI6tO0ql0i59ozjoSqfToaSkRHq8urra6WdqW4t96KGHEBMTg8TExFqfs0ajkZa0E5+T+12Qi8ktiJqmOkfEkJAQ5Obm4uqrr8bkyZOxbNkynzUP+oJCofB4YXK3BJ/j6FAxyLob4OSp5i4OClKr1W73IzYXZ2dnS60C7rRo0UJW1qzXXnsN48aNw6xZs3D8+HHce++9WLVqFYYMGWK33dixY+3eNyQkBB9//DGKi4tRXFxst63j7yEhIbjmmmswfvx4DB8+HCqVCjt37pQ14Onw4cPSPGFnxDSKaWlp0ihsd6qqquxWJRKn8fz555/QaDTS5yUIgtMWhYULFwIAbr/9dkyYMAGCINT6joufqdgFIO5PTlD0dSAmosanXjXZV199FVOmTMGSJUsaVYBtrIxGo10qRUd6vR56vV6qfYkjjL1Zvs6TUaNG4aeffsLUqVORlZWFcePGYdWqVRg/frzL19xxxx0YNmwYCgsLcfnyZZSUlKCkpAQXL16ExWLBpUuXUFxcjJKSElgsFuzevRu7d+9GdHQ0Ro8ejeTkZMTHx9e7NiZOa5IzT9WZ1NRUhIWFwWg0Ij8/322gPnr0KDZs2ACFQoHHHnvM5XbiZ2o0GqWWDvH/cgfV+WrONhE1PvWqyb788svSCNnGzpsLWX0ves5qN8D/mhVdzacVFz8PDw9HUlISCgsLkZ2dXadBPu506NAB27Ztw9/+9jds2LAB999/P3bv3l0rcb6tdu3a1QpKxcXFUtM2UDPQLTc3F5s3b8bmzZtRUFCADRs2AACSkpIwdOhQDBkypE4p6crKyqRpSM7yHssRFhaGDh064MSJEzh58qTbICum/5wwYQJSU1NdbmfbVAz8L+h6M/+aC7wTBa96Rce4uLgmEWAB7wan1Hcgi3ih1ev1KCoqkvYTGRnpdrpPQkICwsPDkZCQIKUBrO8IY1ciIyOxfPlyDBo0CFeuXMGsWbNkrwnrilKpRIcOHTB79mxs3LgR7733HsaNG4fw8HAUFhbiyy+/xOOPP45XX30V+/btg8lkkr3vEydqBjwlJye7XTHHEzFDlLvBT7a12L/97W9eBT4xJ7U38699NWebiBqfxjFKqQF4k+auvinxxNpNZWWlXVMiYF/Ldbx4JyQkICEhAUajEZ07d8aOHTvw4YcfYsqUKbL6Zr0VFhaGDz/8EEOHDsWBAwfw+OOP48033/TJvpVKJQYMGIABAwbgmmuuQU5ODn7++WdkZ2dLP0BNhiqxlmyxWBAREYHExERpAJ0gCNi/f7/UH9u1a9d6lUsc/HTu3DmX23zzzTcAalYt6tOnj9sg69hcLLZ+eNM0zuxQRMGr2QRZby5k9b3oiRdb24Aqsr0ou8txfOedd+Kzzz7D3r17MX/+fLvVi3xJq9Vi2bJlmDRpEj744AP06NFDmk/qKyqVCkOHDsXQoUNRXFyM//73v9i1axcuX74sDaY6cuQIAOC7775DSEgIkpKSkJycDKPRKAXkjh07YvTo0fUqi7hClLucx2Kfb0FBgcfvgXhDBQBFRUVOvzvscyVqvppGW289BSJZgLt+WdvUio5lMhqNMBqNSE5Oxn/+8x8AwOuvv47vvvvOb2UdO3YsnnvuOQDA3LlzZWeGqov4+HjccssteOONN/D222/jiSeewLRp0zBixAgkJycjIiICFosFFy5cwMGDB5GdnY2QkBDcdNNNmDNnTr0GgVmtVhw+fBjA/5avc+baa68FUNNU72l6lNgFANRMBSoqKqr1uXIeLVHz1SxqsoEYWOLYjCgSV+spLi52WqM1Go0IDw9HaGgopkyZgv3792PJkiW466678Msvv8iaulIXjzzyCHQ6HT777DO89tprePPNN5GcnOyX9xJFRUWhW7duUr7mw4cPo3379igpKUF+fj4uXLiAsrIyDBw40CdrDp8+fRoGgwFqtVp6T2eSk5Nx1VVX4Y8//sDmzZtxyy23yK7Rms3mWt81rshD1Hw1i5psIAaWiDVW24tzeXm5VKN29rzj60wmE5544gn07t0bxcXFmDFjBqqrq/1SXoVCgbfffhv9+/eHwWDA/PnzA5ImUKFQoEWLFrj66qtx3XXX4eabb64VYMssoThWVIViU+1Vftw5ePAggJr5sp6SpohL/O3evVvWeRBrtGJ/smPrhdz81kQUXJpFTdZdH6u7hAAmk8mrvjSr1SoNeLF9T/E9bOfJxsfHS1N5bMugVqshCILUjxcWFoYlS5ZgzJgx+Pnnn/Hcc8/hhRdesHvf6upqWaO8xVqyOytWrMC1116LvLw8LFiwAE888YTLOdAGg8FpmkFHclsQzGYzDAaD223+qGqJ3WYthJ9LoQAwPS0Ew9s4L19VVZW0kpHVasXHH38MoGaVIdsVjgRBqLX03bBhw7B06VLs3bsXKpUK1dXVsFqtHs+zRqOBWq2GQqGw+1xtv0uelkQkouARtEFWTsYnT7xtZvb0nmKzoW22IWdMJpNUYw0PD0ePHj2wdOlS3HHHHXj99deRmpqK+++/X3ovhUIhK8hGRUV5TBrSoUMHrFq1Crfddht+++037N69G88884zTbfPy8mT1kSYmJspqeh4wYADi4uJcPl9UXoUP156BGLoEAKuzLbhtSHckRde+eTAajWjRogUAYOnSpfj1118RGRmJOXPmSI8DNQHY8byMGDECAHDs2DFUVVVBqVTCaDQiKiqq1qA2Zy0kjt8DV98lpkskCm7Norm4rnzZzOxuhKnYjCwOjBGbjMUpPRqNBrfffjtmz54NAJgzZw7Gjh3rMXdvXfXp00eayvPWW2/h888/98v7eOv8lSpYHRoerAJwtsT94KQzZ85g/vz5AID58+e7TS4hEvtlBUGQmowtFovUdGzb5+74+TnDubBEzRODrBtiX5ovmvfcjTC1vWA7ey43Nxe5ubl46aWXsGjRIkRERGDbtm3o1asXli1b5pccuLfddhsefvhhAMDDDz8s9WcGUtvYMCgdKn5KBZASp3L5GqvVijlz5sBoNGL48OGYNWuW7PcTRxn/9NNP0tJ9tmv/in3n7j4/EftliZonBlkfMRqNTqfkiNzVZBwHQdn23Yo1Jb1ej/Pnz+Pee+/Fjh070KdPHxgMBtx///0YN24czp8/7/Nj+uc//4mxY8fCbDZj+vTp0hzTQEmMDMPDQ1tJgVapAP4xKtVpUzFQ01e9aNEi7NmzB5GRkXj77be9ylAmDn4Sg2x8fLz0+YkDncSWCXEglb/WICaipolB1kc8zYV0VpMRmxkBSBdscdvQ0FCo1Wqpz0+pVEKlUsFoNKJTp0745ptv8NRTTyEiIgLbt2/HoEGDsHv3bp8ek1KpxHvvvYdu3bqhoKAAw4YNw3333Scl6g+EG66KxZJxSVh8a1d8dVdP3NSjdh5kk8mElStXYvTo0Xj55ZcByG8mthUTEwOgZuqPI9smYmdzZcXAyjmyRM0bg6yP1KXPzVUzo22OY41Gg9TUVFx11VWIjo6WHlOpVPi///s/bNy4ER07dkRBQQFGjx6N9957z6fNx9HR0Vi3bh1uuOEGCIKA9evXY8iQIbjvvvtw5swZn72PNxI0IeiXEl2rBnvp0iW88cYbGDBgAJ588knk5eWhZcuWeOaZZ7xqJgZqRjrPmzcPADBp0qRazzv77GxrtGJgZV8sUfMWtKOLG5rt1A1b7gY8Oa7gInK27qzjNCTxd5PJhKVLl+Kll17Czp078dBDD+HgwYN4++23ERER4ZNja9OmDVatWoWjR49i4cKF2Lx5M9avX48NGzZg/Pjx+Nvf/iZ7ZZzS0lLodDrk5eWhW7duSEtL8zhn1R2TyYRDhw5h8+bNWLNmjbToQEpKCu666y7cc889dQpwCxcuRHZ2NpKSkrBgwYJazzv77GxzF9sud8d+WKLmi0HWT8TgWl5eDpVK5VW2KU/rzoo0Gg20Wi3UajWWL1+O1atXY/78+Vi5ciWOHTuG9evX+zRrU69evfDxxx/bBduNGzdi06ZNtYKtIAi4ePEidDodDh8+jLy8PBw7dgy5ubl2+4yMjER6ejoGDhyIDh06YOjQoW6P+cqVK9i9ezdOnTqF/fv348iRI3arB/Xo0QOzZ8/G+PHjUVlZWacAe/LkSSmwPvfcc1Cpag+sEgMqUDuFpqtpPUTU/DDI+onYFwfAZXOhq9SL7tadFXMbizUkjUaDtm3bQqlU4p///CcGDBiAadOm4ddff8V1112HH374wScpCW2JwXbr1q348MMPsW3bNinYjhw5EuXl5cjOzkZJSYnT17dp0wYpKSnQ6XQoLS3Frl27sGvXLgA16xR369YN/fr1Q79+/dClSxdkZ2fjwIEDOHDggLTkna1WrVph8ODBmDp1KoYPHy61JlRWVtbp+ObPnw+z2YyMjAxMmDDB7WIOgOvPkYiIQVYmx35OZxl8bLcRExbExsbWel7MHGTb5Gj7WjF4WiyWWu9re0EX92ux/C+94KhRo/Dzzz/jhhtuwIkTJ3Dddddh69ataNOmjez1Yk0mE6xWq8ft2rdvj7feegvHjx/He++9h+3bt2P79u3S8yEhIejUqRM6duyI/v37o3v37ujevbuUCMJqteLEiRP49ddf8euvv2L//v24ePEijh07hmPHjkkZmhxptVpcc801GDBgAAYOHIiUlBSngbWiosJjgn+xHOLx5uTk4IsvvgBQs3C7OABN3MZZMg/Hz1FOZiiRnGQUcvrYbbslGOiJGo9mHWTrk23HUwYfd31xSqUSCoXC4wUxJCSkVhltk82LWYjEMojvd9VVV2HHjh0YOXIkTp48iTFjxmD79u1ISkqSdfGPj4/3mBlKLEtUVBQ6deqECRMm4PDhw9i4cSNSUlLQu3dvpKWlISIiApWVlS7Xw01OTpamypjNZhQUFGDv3r3ST3Z2Nq6++moMGTIEQ4cOxZAhQxAbG+sxPaS4P2dNvY4EQZD6hRcvXgyLxYLrrrsOQ4YMqbWds++M4+cofr7u+Doo2n4fGWSJGo9mHWTrI1ArqzgG7/LychgMBuj1emi1Wum59u3bS4H2xIkTGDVqFL7//nu/reID1GSK6tOnT732kZKSgpSUFKcjekVyaqd1cfnyZXzwwQcAarJq6fV6lzdLntIqeuLroMiVfogaJ07hqaNAZvCxTXAQGRkp1dgcpwK1b98e3377Ldq2bYsTJ07g+uuvR35+foOXt6l4//33UV5ejl69emHw4MFuszh5ytIlJwGFqz7ruhC/jwyyRI0Lg2yAybkgO27j2FSt1WqlObSOr1MoFPjkk0+QkpKCkydPYvTo0X7LedyUmc1mvP322wCARx99VJrf6uomyjHLk22yCTEAe0pA4W4xBCIKDgyyASYnI5DjNo4JDtRqtbSQgC2j0QiVSoXExERs2bIFqampOHHiBPr16ycN7qGawVJTp07FxYsX0bZtW0yePBkajcbunOr1epw4cULK0OUqy5N44+MpAQWTVBA1DwyyASbnYuu4jdymao1Gg+joaGi1WqSmpmL16tXo3bs3SkpKMGXKFNx9991266o2R5WVlZg5cya++uorqFQqvPvuuygtLa3VsqDX61FZWQm9Xm/3uGOWJ7Gf1tPnw+ZdouaBQdZP5PbLeXNB9iaZhRgMxNqYOOXn3//+N2bPng2FQoGPPvoIAwYMwJ49e+QfWBCprKzEjBkz8M0330ClUmHDhg0YPHgwDAYD8vLyoNfrpUUfEhISEB4ejoQE+1zJtgsF+LKPlYiCQ6MZXexqekRT5e2C775kNBprjTgWF4qPiorCY489hnHjxuHuu+/GqVOnMGLECDzwwAN48cUXER0d3aBlDRRnAXbs2LEwGo04e/YsLBYLTCYTkpOTpVHGKSkpbhdsd9fH6i69JvmXeMPkjk6na6DSUHMT0CCbm5uL7OxsjBo1CqGhoUEVaAM5pUKj0UCv10sjjsUg27FjR5hMJmg0GowePRqHDx/G3Llz8fHHH+Pdd9/Fxo0bsXjxYgwbNqzBy9yQHAPsZ599hrFjxwKAtKRdWVkZlEolQkNDUVlZaZfRyVmGJ1d5qEWBvOlqzvLy8pCWliZrqUGxH57IlwIWZAsLCzFgwACkpqaioqIC48ePl5UAwZHZbLabN1laWurLYnpNzM6jVqudZoKqy75sOcs05ZhhSK1WIyUlBSaTCWq1GoIgwGg0Sr+Lj4WHh2P+/PkYPXo0nn76aeTm5uKmm27CrbfeildeecXjBcdiscBqtaKqqgrff/89Vq1ahQMHDmDUqFF48MEH0bNnTwA1fZVykmCI+/Okurpa1qICzjJmiX2wtgF25MiRdlmzWrZsKZ0ntVqNiIgImEwmqFQqWK1Wu4BqW6uNj4+X3tfxu2x70yWWSRAEWeclmG4+G5rY3L969WqkpaW53TYhIQFarbaBSkbNRcCCrMFggEqlQmlpKRYsWACFQoExY8ZApVI5vUi5smDBAsyfP9+vZfXHBU7OPp1dgJ3ViJxlhoqKikJUVJT0u5gq0Ww2S+ukms1mGAwG9O7dGzt37sQ777yDN998E+vXr8ePP/6IN954A1OnTnVZ1kOHDmH16tVYs2aNNOoWAFatWoVVq1Zh1KhRePjhhzF69GhZQTEsLExW0AkNDZX1/QgPD7fbzmAwYNasWbWaiC0Wi937ilmYjEYjLl26JNVwysvLUVxcbFfj0ev1dgOeAOcZn+qzGo9CoWCQrae0tDSkp6cHuhjUDAUsyHbo0AFjx47Fo48+ikceeQQvvvgiwsPDMXbsWGRlZaF3796y9vPkk0/i0UcflX4vLS1FSkqKv4rdoJz149W1GdpZc6Y4+hiouYtfuHAhJk+ejLvvvhu///47Zs6ciTVr1uDdd9+VFjwvLCzEmjVrsGrVKhw5ckTaV1JSEqZNm4aMjAx88sknWL9+vZTL+KqrrsLDDz+MzMxMp4se+IvFYsHBgwfxww8/4IcffsCePXtQXV1dqw/W9obF9hydPXvWrsldnBJlu42nZmJP2FdLwURO33ZzazFQCL5c4dtLI0aMwKOPPoprr70Wt9xyC6qqqhASEoKCggIcOnQIERERXt/Bl5aWIjY2FleuXJFqbA3F1al0diGVc1yFhYVS06g4J9PZfj2l9rNdnzYqKspjSsCKigq88MILeOONN2A2mxEZGYmHH34YR44cwXfffSetLhQeHo4bb7wRd911F8aMGSPVVo1GI7Kzs/HRRx/h448/lprwExIScN999+GBBx5A69ata5XxzJkzyMvLQ25uLnJycpCbm4uCggK0bt0aqampaN++PVJTU5GSkoKOHTs6DUq5ubnYtm0bfvjhB2zfvh2XL1+2e75z585YtGgRBg8eLAXI6upqqcZr24pSVlYGs9kMtVoNlUolnQvHgOxYDm+agcWasKvPWOSrmqzcv49A/h350sGDB9GvXz/89ttvrMn6kbd93zqdrkkHWm/+PgISZMUL2SOPPIIWLVrgmWeeAVCTLL6kpAQvv/wyHnnkEQDe90c1xiBbVFSE6upq6SItNym8uB6tq1qOuF9PF2jH7Ty9ThxZe/ToUcybN6/WFJ9+/frhzjvvxKRJk5z229oGjvDwcHzwwQf4z3/+g7NnzwKoCc4333wzrFarFExtm5vlSkpKglarRfv27RETE4Pdu3fXWgovOjoaw4cPx/Dhw3HNNddIF4Lw8HC7FXvE/lTbWqntiFSxP9t2UXbxGMVzYLsMoUKhqPXZOd5siUG2qKgIiYmJDLJ+wCDbcOSO4s7MzGzyn4c3fx8BaS4Wawp9+/aVlkabNWsWgJpFtzds2IB27dph4sSJdRoM1diITbxms9mrpPCe+vHE/cpJSiHWZMVaLAC3Xw6NRoPBgwfjxx9/xLJly/D555+jR48emDlzJq666ippQIltU6ptzc72/w899BDmzJmDr7/+GgsXLsSvv/6KdevW1XrPuLg4aLVatG3bFh06dEDnzp3RqlUrnD59GjqdDgUFBbhw4QLOnTsHg8GAwsJCFBYW4sCBA9I+QkJCkJ6ejoyMDGRkZGDYsGEIDQ2V5g4XFhZKywxWVlZK/baOzb/iOVKpVCgpKUFcXByuXLlSq/nY9tw75jN27Dt3NcJYXPqPqCnTarVNunbqLwGdwpOUlIScnBzMmDFD6jNLTk7GkCFDsHTpUtxwww12g3eaCscai/hTl/5Ud3124n7Ly8tRVFTksvlXrDmLNafw8HApg5SnpmOlUon77rsP9913n/SYXq9HeXk5FAqFXVAVA4yzFI+hoaG44YYbMGDAABw+fBi7du1Cy5YtpVV3unTpgtatW+PSpUtSS4ezWnJeXh4KCgqgVquh1+uRm5uLM2fOwGAwYODAgejfvz+ioqJgNpulbEy2ZSwrK5MGLonBNCIiwu49xOMTg7FYy42IiEBJSYl0fI4BVkx7GRMTY1eTtf0c5DxGRMGjQYKsqybfQYMGobCwEOfOncPmzZvRoUMHAMBPP/2ES5cuNckAC7iusdRlhKmc+ZVFRUUoKytDVFRUrYu1bRB1rGUC9rUvuRd6MSCLQVZ8zHG/4u/imq7iwKEhQ4ZgyJAhtYKp4/QYZ8R5vqGhoRg4cCB69Ohhd15ta6EWi8VuX47BUfy/7fQdcUSx1Wq1mwNrO/dYDKaO76tSqaRF3sUA7Xje5DxGRMGjQYKsq/6kmJgYLFy4EF27dkWXLl0A1FwYo6Ojm3TmIV/WTuq7L9sgKgZH233VZXSsRlOz8o/tAB9nNTuDwYCzZ88iPj4e8fHxTgOxt0EnPj4ely5dQsuWLd1uaxtIHR8Tg7Cz1xqNRsTFxUkDnmwDtVqtRkVFhdTs78tRxrbvz9HGRMHDL0H25MmTWL58OSoqKpCcnIw5c+ZINR+xVivWYsaNG2f32mDog/Vl7UTOvsTcuc6283Txtw26Yq1XHNXtavSsLce+WNv31ev1sFgsKCsrc7pSkDfnyPZ9WrRo4fJ7YjQape+WWq2uFVAdbzoc9w/UzDFOSkqSHhe3E0dnazQaFBUVSU3Stj9A3ZOPAMwMRRRsfB5kjx8/jmuuuQbDhg2DQqHAmjVrsGHDBjz55JMYN24cwsPDYbVapYukWCsJBnIvrnKneFitVlmjSiMiIlxe4G0v/o6ZoURigBFH3ZpMJgD/a251NbfVaDTi3LlzUnOw7XZqtRparVYabSiOpq3r8YrB02g0ukxaYTKZcOnSJZhMJrRt2xYmk6nWMdjedIjlsVqtdsFZ7IO1PSZBEKTzJ44yFoO14/kRBEHWd0FMDmKbwctZZijAPwlRiMj/fBpkKysr8fTTT2PSpElYtmwZgJqhzrfccgteeuklGI1GTJ48WZpP+dhjjyEvLw8LFy6Ukh00ZXIvhLapEd3VVhQKhaxtnWUY8mY7sXYnCILdknri+zrWGsUmzfLycoSHh6OiogKtW7euFfhsB1zVp3wApPm9kZGRCA8Pd7qdyWRCdXU1wsLCoFAo7AKWWDZn06fCwsLs9u+qlmxbPmf7FnlzvI41V/bREgUXnwbZ8PBwlJaWSjlCq6qqEBMTg02bNmHSpElYtGgRunbtigEDBgAAhg4dipUrVyIsLMyXxWj0xAtrYWGhdNF3dWH1tvnQsU/P9nfHGpftiNjQ0FDExsZKNTzbQU2uygTU9KvL7T+0LYu4H7mvdWyOdZUNSxwsJx6v3IDlbXDzVTDk6GKi4ObT9WStVisEQcAff/wBoKaGUFlZCbVajfXr16OqqgovvviitP3EiRORm5uLNm3a+LIYjZ64CDvwv7mUnraVexG2DcrOfne2LQBZ69WKa+QCNUE5KSnJq3VubcvirlyeyiDOd3V8vUajQfv27dG+ffsGqQ3KXTPYHY3Gu7WCiahp8VmQFfsZ//Wvf2HLli3497//DQBSH194eDgWL16MvXv3IisrS1ptpTnewavVaiQmJiIpKcljAPX2IuwYlD0Face0g+44BmVv8xDblkXuzYNjILMtgzc3H96SE0A93Sj4IggTUdPms+ZisQ+qX79+eOSRR/DWW28hLCwMc+bMkS7GSqUSsbGxiI6OlvqxmvOADn/0vzkb5etu1KvcbEOOTctFRUVeTzNxVjZPHJvLxeZVsWnbX+Q003tq6uVIYSLyaZ9sdXU1oqOjceedd6KiogIvvfQSLl68iLlz56K6uhpbt25FWFgYLziNhDf9geXl5VKyBaB2ykBfcDbIy7GM4nxVOTdncgeYOSPn3Hi6SWJ/KxH5LMhaLBaEhoYiJycHe/bswQMPPIAOHTrgqaeewsqVKxETE4OSkhJs2rTJbSJ0ajje1KQdA4Y/goezml99avvO+qfrMtBKLlfpNMk/5CakJwoknwRZcTWSnJwcdO3aFVOmTMGMGTMwe/ZsTJw4ET/99BNiYmLQo0ePZp9Auqlm9HHW1OvrBZx8XfOz3V9dmm69/azYPNxwvF1azVkebKKGUO8gaxtg09PTMX36dCxZsgRAzWjj5ORk3HHHHfUuaLAIxgtxfabm2PJmyo2csjjuz9sAXl5ejtLSUhQVFaF9+/YeB3qxebjhiKtArV69Wpoy6EpzWyScGpd6BVnHAHvTTTfh/fffl/rt5GQ1am5cZfRxxpsMUnL6KP21P8dmWfH/ttmSfFE+2z5WVwHPtiwqlUr6DqrVarvy2HKVCSsyMhJFRUVQqVR2c5pdvbftewSCnM83AMtH+1VaWlqTXpeUgl+dg6xtH6wYYJcvXy4F2OZITiDxtoYnZ58KhUJ2hiG57+nt/i5fvizlUBYDobgPX5XPsRXAVUKKwsJCmM1m2efaVaYpcd6t47xeOfuU+7kRNUdy+sqDpQWizhExJCQEubm5uPrqqzF58mQsW7YsKJL7N1a+7sv19f7EqUD+HOzjbPCVs4FSYl5hXzTJi8fDpmCi+hMXCcnMzPS4rUajgU6na/KBtl412VdffRVTpkzBkiVLGGD9zNd9ub7cn78CkKvRumKTp6v39Ud5vJk6RETOabVa6HQ6WaPCMzMzodfrm2+QDQkJwcsvv4yYmBj2vdaRN7VJf468rS9/1V7rOyLYl/2jTXVUOFFjo9Vqm3zg9Ea9omNcXBwDbD14k7/X1zlum0LOXE+pF52dv7rkRDaZTF6nUGTKRCKSgxEygLxN/t/ceLoRcHb+6nJO5QRm20UdioqKnC5QQETkqPkOBW4EmBGofpydP0+5mp2Rm0JRrVYjNzcXZWVlUCqVTtemJSKyxSBLPtOU+i3dJa2QQ6xlExG5wyBLPtOUslnZltWbAVJJSUmNvgbblG52iIIdg2wQ8CaTk6/f13ZKS31HLMstn6sMTd7szzHzltypOU2hib8p3ewQBTsG2QCQe0H3x5xMX6ZfdMzkVN8antzjdZWhyZt9OgbLYMjQJJbPWdYtx22IqGEwyDZjbFYMTo29OZuoOeEUnmasLnNKGxPOVSWixo5BthlrbPN0vQ2aTf0mgYiCH5uLg5ScpmBvB/H4u3nZ2wE7TNpPRI0dg2yQ8scIU3+PWvU2aNZnpK94w2D73gzWRORrbC4OUv5oCvZ383JD5lMWbxiKiorY5ExEfsOabJDyx3zOpjBHVC6x1ixmbWItloj8gUGWmqW6zJOlhpGXlydrvVEKfnI+54SEhEa9dB6DbAB4k3mpMV/8g+U4goWcz8PXWb98LS8vD2lpabJGmGs0GiQkJDRAqaihJSQkQKPRIDMz0+O2Go0GOp2u0QZaBtkg4OsMUoEKiMFyHFR3er0eRqMRq1evRlpamtttG3sNhupOq9VCp9PJatHIzMyEXq9vtN8FBlmiZqSpJO5IS0tDenp6oItBAaTVahtt4PQGgyxRMxLIIMu+VmqOGGSJmpFAjQ5nXys1VwyyRM1IoIIs+1qpuWKQJaIGw75W8ofGPNWHQZaI6oV9rRQoTWGqD4Ms+QzXp21+2NdKgdQUpvowyJLP+HsBAWp4hw8fRlRUlMvndTod+1opoLyZ6uOrFpWysjLZ2wZdkBUz2pSWlga4JK7ZZt0xGo0wGo0u8wI35oQKjtmDLBYLTCYTNBpNrfPfmI8jWMjJ5iR+Lp62FZ/PyMjwuE+1Wo0+ffogJSVF9vsTNSSVSgW1Wi2rWdkbcv7mgi7IGgwGAJD1B0/UXBkMBsTGxrp9Xi6TyYQePXr4olhETYqnvyMAUAiNPZmpl6xWK/Lz8xEdHe3z2lNpaSlSUlJw9uxZxMTE+HTfDYnH0Xg09DEIggCDwYA2bdpAqXS90qU//44aUjB8R0Q8lsZD7t8REIQ1WaVSiXbt2vn1PWJiYprkF8MRj6PxaMhj8HTnDTTM31FDCobviIjH0jjI+TsCuGg7ERGR3zDIEhER+QmDrBdUKhWeffZZqFSqQBelXngcjUcwHENjFkznl8fSNAXdwCciIqLGgjVZIiIiP2GQJSIi8hMGWSIiIj9hkCUiIvITBlkiIiI/YZD1MavVGugiNHtVVVWBLoJPcQKAfwXT+W3qxxKM108GWR8oLy9HWVkZKioqPOaxbKwKCgrw3//+F7/88gsKCwsDXZw6O378OO69916cOHGiSf/B5ubm4vvvv0d1dTUUCkWTv3g2NsF0fs1mMwRBgNVqbVJ5ps+cOYPly5fjzTffxNatWwHUpPNsyp+FM0GXu7ihZWVl4Z577kFFRQWKioowe/ZsjBs3Dr169Qp00WT7/fffcdtttyE8PBy5ubm466678MILLyA6OjrQRfNKVlYWRowYgYkTJyI0NLTJ3vAUFhZiwIABSE1NRUVFBcaPH4+QkJBAFytoBNP5zc7OxnPPPYcLFy7AbDZjyZIl6NOnD6xWa6P+/mdlZSEjIwN9+/aFTqdDXFwcWrVqhY0bNyIyMhKCIDSpGwZ3Gu+n0ATk5ORgxIgR6NevH5599lnMmjULa9euxbx587Bjx45AF0+WP//8E6NHj8Ytt9yCrVu34rXXXsOKFStw6dKlQBfNKyUlJfi///s/TJkyBUuXLkXHjh2h1+tx/vx5GI3GQBfPKwaDASqVCqWlpViwYAG+/fZbmM1mADVr9lL9BMv5PXbsGIYNG4aWLVti9OjRaNWqFUaOHAm9Xt+oA6zRaMT999+PyZMnY9u2bTh27BgWLVqEoqIiDBo0CAUFBVAoFE26JcqOQHX23nvvCcOGDbN7bNOmTcKECROEa6+9Vti1a1eASibf888/L4wbN87usRtuuEH4/vvvhZ07dwo6nS5AJfNOQUGBMHToUOHcuXNCdXW1cPPNNwuDBw8WoqOjhSlTpgjff/99oIsom8ViEe6++27h+PHjwpgxY4QBAwYIW7ZsEQRBEA4fPhzg0jV9wXB+CwoKhCFDhgiPPvqo9Fh5ebnQo0cP4Z133hEEQRCsVmugiufWpUuXhJ49ewobNmyQHrNarcKJEyeE9PR0oU+fPnaPN3WN93anCRAEAefOnbPrwxw3bhweeughaDQaLF26tNH3b1ZUVODKlSs4f/48AOCFF17Ad999h6eeegr33HMPMjMzsX379gCX0rPCwkLodDpcunQJs2bNgtFoxEsvvYTXX38dVVVVePrpp7Fv375AF1MWpVKJkydP4uTJk/jss88QGRmJF198ERkZGZg8eTJMJlPQ9Vs1pGA4v3/88QfKy8sxY8YM6TGNRoNWrVohPz8fABptc2tMTAysVit27twpPaZQKNClSxesWLECRqMRc+bMkR5v6hhk66Fdu3YoLy9HVlYWgP81NV133XWYPn06Nm7ciJycnACW0LOOHTvi4sWLuPPOO5GZmYn58+dj/fr12LVrF9atW4d27drh888/R2VlZaO+8LRp0wY9e/bEd999B4PBgFdeeQUjR47Efffdh7lz50Kj0WD//v2BLqZH4neob9++OHz4MOLi4rBz506cPn0av/zyC+677z6o1eomP1gnUILl/A4fPhxPPPEEevfuDeB/I+pbt25dq8m7MTWBC4KAkJAQ3H777Thw4AA2b95s93zPnj0xZcoUHD16tMl187jCIFsPEyZMQEZGBu68807k5uYiJCQE1dXVAICpU6ciOTkZmzZtCnAp3fu///s//POf/8Rf//pXhIWF4a677sItt9yCiIgI9O3bF61bt0ZWVhbCw8Mb9V1ly5YtMWDAADzxxBP49ttvUVlZKT03aNAgxMfH48cffwxcAWUSB+D07dsXp0+fBgDMmjULANCjRw9s2LABn3/+OSwWS6P+PBqrYDi/YvCfMmUKgJppL2FhYQBqju/y5cvStm+88Qa2bNnS8IV0QTyn06dPhyAIWLx4sd3fpUKhQPfu3ZGfn4/y8vIAldK3GGTrSOyUf/fdd5GamoqRI0dCp9MhNLRmwLbZbEbLli3Rrl27QBbTLfEYZs2ahTlz5iAlJUUqv0gQBHTt2tUuaDU24nG8/vrruPfee1FdXY0NGzbYNdXHxsbi6quvDlQRvZaUlIScnBzMmDED3333Hfbs2YNdu3ahvLwcS5cuhclkCnQRm7SmfH4dg7/ttBer1SrdSDzzzDOYO3cuUlNTG7yM7giCgI4dO2Lp0qXIy8vDa6+9hpUrVwKouW7+8ssvaNOmDdRqdWAL6iNc6s4Hzpw5g3vuuQdHjhzBY489hlatWuH48eP44IMPsH//fnTp0iXQRZQIbobGL1y4EPPnz8enn34KjUaDnTt34p133sHu3bsbXYByPA5xykJVVRXuvfderF27FrfccgvS0tJw8eJFfPLJJ/j555/RvXv3AJa6Nlefx+XLlzFkyBBUVlbiiy++QN++fQHUjIy9dOlSo7twNlbBdH7d/e1WV1cjNDQU06dPR+fOnREbG4snn3wSP//8M9LT0xu4pP8rkyAIUi0b+N/fqfjv8ePH8fTTT+P333+HyWRC586dcfToUezYsQN9+vQJSLl9jUFWBovFImse3bx587B7924UFxcjOTkZb775ZpP7okybNg0bN25Eq1at0KJFCyxbtkzq92lK3nrrLezbtw/Z2dno1KkT/vWvfzWpucsWiwXfffcdunbtKt2kyf0ekmfBen4feOABvP/++4iKisKOHTvQv3//gJTj+PHjmD9/PvLz89G5c2dcf/31UvO2eJ7FQKvX65GTk4MtW7agXbt2GD58ODp37hyQcvsDg6wbBQUFaNWqFQDXf4COk76Li4sRFhYGhULRKJI5nDx5EsuXL0dFRQWSk5MxZ84cREZGSgM7bP8V7dmzB/Hx8WjZsiUSExMDWPr/kXMcYsYb8Viqq6uljD4qlSrAR1BDznEEw8U+UILp/Nblb3fu3Ll44403kJWVFbBWmxMnTmDgwIGYMGECunTpgu3bt8NgMKB3795YsWIFAKCyshLh4eEBKV+Da4BpQk2STqcTwsLChAkTJkiPVVdXu9y+sLCwIYrllWPHjgkxMTHCjTfeKIwbN05ISEgQBgwYIGzYsEEwm82CINTMGRQ1xmMQBO+Po6ioKFBFdcvb4yguLg5UUZukYDq/df3Om0wm4dy5cwEpsyDUzGt96qmnhNtuu016rLy8XHjnnXeEnj17CpMmTbLb/sMPPxTy8vIaupgNikHWifz8fGHIkCHC4MGDhY4dOwoTJ06UnnMWaB999FHhtttuE3JychqymG6ZzWbhlltuEe6++27psStXrggjR44U+vXrJ6xevVqoqqqSnmuMxyAIPI7GdhyNVTCd37ocy6233iqcOXMmAKWt7c4776yVpMdoNArLly8X+vbtK/zjH/8QBEEQfv75Z6Fz585CZmam2wpMU8fRxU78+OOPaN26NV555RW89tprOHjwIG699VYAsJumIxoyZAh27Nhh18EfaOHh4SgtLUVSUhKAmnl0MTEx2LRpE5KTk7Fo0SIcOnRI2n7o0KGN7hgAHkdjO47GKpjOb12OZefOnQFvfhX+f89jeno6LBYLsrOzpefUajVuv/12jB49Gjt37pQGns2bNw/PP/98k2i+r7NAR/nGqLy8XPj6668FQRCEqqoqYd26dUL79u1r1WitVqvUZGMwGAJSVlcsFoswcuRI4dZbb5UeE5uZzGaz0KNHD+Gmm26ye01jOwZB4HGQPMF0fpv6sZw6dUpISEgQZs2aJZSWlto9l5+fLyiVSuGLL74IUOkaHoOsA9t+DpHJZBI+//zzWoF26dKlQnZ2tiAIjSvHpliWnTt3ChqNRnjjjTek54xGoyAIgvDTTz8JiYmJwu+//y4dc2M6BkHgcTS242isgun8Bsux7NixQ1CpVMLs2bPtxkjo9XqhX79+ws6dOwNXuAbGpe4cOFu9IiIiAuPGjYNCocDcuXNx2223oV27dnjrrbekrDGNKTuMWJZ+/frhkUcewVtvvYWwsDDMmTNHmuCtVCoRGxuL6Oho6Zgb0zEAPI7GdhyNVTCd32A5lr/85S/4/PPPcfvttyM/Px+33347evXqhVWrVuHcuXPo1KlToIvYYBhknRAndttSq9UYN24cqqurMWXKFLRo0QIHDhxAhw4dAlRK96qrqxEdHY0777wTFRUVeOmll3Dx4kXMnTsX1dXV2Lp1K8LCwqDRaAJdVLd4HCRHMJ3fYDmWCRMmYM+ePXj00Ufxj3/8A6GhoQgLC8OWLVuQkpIS6OI1nEBXpRsbcZTbmTNnhHfffVeorKy0e/7uu+8WIiMjhWPHjgWieLLYHsNHH30knDp1SnjnnXeE2NhYoW3btkJaWpqQnJws/PbbbwEuqXs8DpIjmM5vMB2L6MqVK8KZM2eE33//vdFOr/MnBlkb4rD4M2fOCOHh4cLMmTPt+jq+/fZboUuXLsKBAwcCVUSPbI8hLCxMmDFjhvRcfn6+8OmnnwrffvutkJubG6giysLjIDmC6fwG07HQ/zDI/n+2X/AWLVoId911l91cNEGoGXhw4cKFQBRPFmfHINbEnQ3oaqx4HCRHMJ3fYDoWsscgK9T+gs+cObNWgG3sX3Q5x9AU8DhIjmA6v8F0LFRbsw+ytn0gTfULHgzHIAg8DpInmM5vMB0LOdfsg6wgCEJOTo6g0WiEWbNmNdn0XsFwDILA4yB5gun8BtOxUG3NfhUei8WCBx98EJWVlViyZEmtqTtNQTAcA8DjIHmC6fwG07GQc80+yAJASUkJYmJinCaiaCqC4RgAHgfJE0znN5iOhWpjkCUiIvIT3joRERH5CYMsERGRnzDIEhER+QmDLBERkZ8wyBIREfkJgywREZGfMMgSERH5CYMsERGRnzDIEhER+QmDLBERkZ8wyBIREfkJgywREZGfMMgSERH5yf8D/WVxpuaBJpgAAAAASUVORK5CYII=", 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" ] @@ -205,12 +205,12 @@ } ], "source": [ - "z = flow(x_star[1].flatten()).sample((4096,))\n", + "z = flow(x_star[:, 1].flatten()).sample((4096,))\n", "x = likelihood(z).sample()\n", "\n", "fig = corner(x.numpy())\n", "\n", - "overplot_points(fig, x_star[1].numpy())" + "overplot_points(fig, x_star[:, 1].numpy())" ] } ], diff --git a/tutorial/source/vae_flow_prior.ipynb b/tutorial/source/vae_flow_prior.ipynb index a5087811bd..345a37d94f 100644 --- a/tutorial/source/vae_flow_prior.ipynb +++ b/tutorial/source/vae_flow_prior.ipynb @@ -23,7 +23,7 @@ "import torch.utils.data as data\n", "import zuko\n", "\n", - "from pyro.contrib.zuko import Zuko2Pyro\n", + "from pyro.contrib.zuko import ZukoToPyro\n", "from pyro.optim import Adam\n", "from pyro.infer import SVI, Trace_ELBO\n", "from torch import Tensor\n", @@ -132,7 +132,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "However, we choose a [masked autoregressive flow](https://arxiv.org/abs/1705.07057) (MAF) as prior $p_\\phi(z)$ instead of the typical standard Gaussian $\\mathcal{N}(0, I)$. Instead of implementing the MAF ourselves, we borrow it from the [Zuko](https://github.com/probabilists/zuko) library. Because Zuko distributions are very similar to Pyro distributions, a thin wrapper (`Zuko2Pyro`) is sufficient to make Zuko and Pyro 100% compatible." + "However, we choose a [masked autoregressive flow](https://arxiv.org/abs/1705.07057) (MAF) as prior $p_\\phi(z)$ instead of the typical standard Gaussian $\\mathcal{N}(0, I)$. Instead of implementing the MAF ourselves, we borrow it from the [Zuko](https://github.com/probabilists/zuko) library. Because Zuko distributions are very similar to Pyro distributions, a thin wrapper (`ZukoToPyro`) is sufficient to make Zuko and Pyro 100% compatible." ] }, { @@ -227,7 +227,7 @@ " pyro.module(\"decoder\", self.decoder)\n", "\n", " with pyro.plate(\"batch\", len(x)):\n", - " z = pyro.sample(\"z\", Zuko2Pyro(self.prior()))\n", + " z = pyro.sample(\"z\", ZukoToPyro(self.prior()))\n", " x = pyro.sample(\"x\", self.decoder(z), obs=x)\n", "\n", " def guide(self, x: Tensor):\n",