{ "cells": [ { "cell_type": "markdown", "id": "b5d2e688", "metadata": {}, "source": [ "# LargeConv: multiresolution large-kernel tests\n", "\n", "This notebook validates the learned `Down x L -> compact HealPixConv -> Up x L` implementation. It checks automatic kernel planning, partial NESTED patches, shuffled cell ordering, constant preservation, receptive field, CUDA/autograd and a small teacher/student training problem." ] }, { "cell_type": "code", "execution_count": 1, "id": "6a7c1e2b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "device: cuda\n" ] } ], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import copy\n", "import time\n", "\n", "import healpix_geo\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import torch\n", "\n", "from healpix_analyse import LargeConv\n", "\n", "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n", "torch.manual_seed(0)\n", "np.random.seed(0)\n", "print(\"device:\", device)" ] }, { "cell_type": "markdown", "id": "e141977b", "metadata": {}, "source": [ "## Build a partial NESTED patch\n", "\n", "The identifiers are shuffled deliberately. `LargeConv` sorts them for its sparse multiresolution operators and restores this original order before returning. The patch is wider than the nominal 33-pixel receptive field to leave an interior region for visual inspection." ] }, { "cell_type": "code", "execution_count": 2, "id": "c29f9101", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "patch cells: 4682\n" ] } ], "source": [ "LEVEL = 6\n", "NSIDE = 2**LEVEL\n", "CENTRE = (30.0, 20.0)\n", "RADIUS_DEG = 35.0\n", "\n", "cell_ids, _, _ = healpix_geo.nested.cone_coverage(\n", " CENTRE, RADIUS_DEG, LEVEL, ellipsoid=\"sphere\"\n", ")\n", "cell_ids = np.asarray(cell_ids, dtype=np.int64)\n", "rng = np.random.default_rng(42)\n", "rng.shuffle(cell_ids)\n", "lon, lat = healpix_geo.nested.healpix_to_lonlat(\n", " cell_ids, LEVEL, ellipsoid=\"sphere\"\n", ")\n", "lon = np.asarray(lon)\n", "lat = np.asarray(lat)\n", "print(\"patch cells:\", len(cell_ids))" ] }, { "cell_type": "markdown", "id": "d94756a2", "metadata": {}, "source": [ "## Automatic 33x33 plan\n", "\n", "A fine radius of 16 pixels becomes a radius of 2 pixels after three resolution reductions, hence a compact 5x5 kernel. Two reductions would still require 9x9 and would exceed the configured limit of 7." ] }, { "cell_type": "code", "execution_count": 3, "id": "de2b4916", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LargeConv(\n", " level=6, nside=64, in=1, out=1, requested_kernel=33, compact_kernel=5, levels=3, effective_kernel=33, gauges=1, partial=True\n", " (down_layers): ModuleList(\n", " (0-2): 3 x HealPixDown()\n", " )\n", " (conv): HealPixConv(level=3, nside=8, in=1, out=1, kernel_sz=5, P=25, G=1, gauge='phi', partial=True)\n", " (up_layers): ModuleList(\n", " (0-2): 3 x HealPixUp()\n", " )\n", ")\n", "construction: 0.324 s\n", "fine pixels by level: [4682, 1211, 324, 93]\n", "nominal gather-term reduction: 2193.0x\n" ] } ], "source": [ "start = time.perf_counter()\n", "layer = LargeConv(\n", " level=LEVEL,\n", " in_channels=1,\n", " out_channels=1,\n", " kernel_sz=33,\n", " max_compact_kernel_sz=7,\n", " cell_ids=cell_ids,\n", " ellipsoid=\"sphere\",\n", " weight_norm=\"l1\",\n", " up_norm=\"col_l1\",\n", " device=device,\n", " dtype=torch.float32,\n", ")\n", "construction_seconds = time.perf_counter() - start\n", "\n", "assert layer.n_levels == 3\n", "assert layer.compact_kernel_sz == 5\n", "assert layer.coarse_nside == NSIDE // 8\n", "assert layer.effective_kernel_sz == 33\n", "assert layer.weight.shape == (1, 1, 1, 25)\n", "for down, up in zip(reversed(layer.down_layers), layer.up_layers):\n", " down_matrix = torch.sparse_coo_tensor(\n", " down._M_indices, down._M_values, size=down._M_size, device=device\n", " ).coalesce()\n", " expected_up = down_matrix.transpose(0, 1).coalesce()\n", " actual_up = torch.sparse_coo_tensor(\n", " up._M_indices, up._M_values, size=up._M_size, device=device\n", " ).coalesce()\n", " assert torch.equal(actual_up.indices(), expected_up.indices())\n", " assert torch.allclose(actual_up.values(), expected_up.values())\n", " assert np.array_equal(up.cell_ids_out, down._cell_ids_in)\n", "print(layer)\n", "print(f\"construction: {construction_seconds:.3f} s\")\n", "print(\"fine pixels by level:\", [len(cell_ids)] + [down.N_out for down in layer.down_layers])\n", "direct_terms = len(cell_ids) * 33**2\n", "compact_terms = layer.conv.K * layer.compact_kernel_sz**2\n", "print(f\"nominal gather-term reduction: {direct_terms / compact_terms:.1f}x\")" ] }, { "cell_type": "markdown", "id": "5d2bbf86", "metadata": {}, "source": [ "## Constant preservation\n", "\n", "The compact kernel is set to a centred unit impulse. Any remaining difference from one is caused by the Down/Up round trip and partial-patch boundaries, not by a resized kernel." ] }, { "cell_type": "code", "execution_count": 4, "id": "bfa0e6a2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "constant mean absolute error: 5.933729951834721e-08\n", "constant maximum absolute error: 2.980232238769531e-07\n" ] } ], "source": [ "compact_weight = np.zeros((1, 1, 25), dtype=np.float32)\n", "compact_weight[0, 0, 12] = 1.0\n", "layer.set_compact_kernel(compact_weight, bias=np.zeros(1), requires_grad=True)\n", "\n", "constant = torch.ones(len(cell_ids), device=device)\n", "constant_out = layer(constant)\n", "constant_error = (constant_out - constant).abs()\n", "print(\"constant mean absolute error:\", constant_error.mean().item())\n", "print(\"constant maximum absolute error:\", constant_error.max().item())\n", "assert constant_out.shape == constant.shape\n", "assert torch.isfinite(constant_out).all()" ] }, { "cell_type": "markdown", "id": "b1332380", "metadata": {}, "source": [ "## Shapes, batches and autograd" ] }, { "cell_type": "code", "execution_count": 5, "id": "dc613b56", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "output shape: (3, 1, 4682)\n", "input gradient norm: 0.00044165970757603645\n", "kernel gradient norm: 0.008403155952692032\n" ] } ], "source": [ "batch = torch.randn(3, 1, len(cell_ids), device=device, requires_grad=True)\n", "output = layer(batch)\n", "loss = output.square().mean()\n", "loss.backward()\n", "\n", "assert output.shape == (3, 1, len(cell_ids))\n", "assert batch.grad is not None and torch.isfinite(batch.grad).all()\n", "assert layer.weight.grad is not None and torch.isfinite(layer.weight.grad).all()\n", "print(\"output shape:\", tuple(output.shape))\n", "print(\"input gradient norm:\", batch.grad.norm().item())\n", "print(\"kernel gradient norm:\", layer.weight.grad.norm().item())" ] }, { "cell_type": "markdown", "id": "fa1e0855", "metadata": {}, "source": [ "## Effective receptive field\n", "\n", "An impulse is placed at the cell closest to the requested patch centre. The response visualises the effective fine-resolution kernel, including all smoothing and interpolation performed by Down and Up." ] }, { "cell_type": "code", "execution_count": 6, "id": "51ad36c4", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dlon = ((lon - CENTRE[0] + 180.0) % 360.0) - 180.0\n", "centre_index = np.argmin(dlon**2 + (lat - CENTRE[1])**2)\n", "impulse = torch.zeros(len(cell_ids), device=device)\n", "impulse[centre_index] = 1.0\n", "response = layer(impulse).detach().cpu().numpy()\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n", "points = axes[0].scatter(lon, lat, c=response, s=9, cmap=\"viridis\")\n", "axes[0].scatter(lon[centre_index], lat[centre_index], marker=\"x\", c=\"red\")\n", "axes[0].set_xlabel(\"longitude [deg]\")\n", "axes[0].set_ylabel(\"latitude [deg]\")\n", "axes[0].set_title(\"Effective impulse response\")\n", "plt.colorbar(points, ax=axes[0])\n", "distance = np.sqrt(dlon**2 + (lat - CENTRE[1])**2)\n", "axes[1].scatter(distance, np.abs(response), s=8, alpha=0.6)\n", "axes[1].set_yscale(\"log\")\n", "axes[1].set_xlabel(\"approximate angular distance [deg]\")\n", "axes[1].set_ylabel(\"absolute response\")\n", "axes[1].set_title(\"Radial support and tails\")\n", "axes[1].grid(True, alpha=0.25)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "db06c320", "metadata": {}, "source": [ "## End-to-end learning of the compact kernel\n", "\n", "A frozen teacher and a trainable student share the same Down/Up geometry but use different compact kernels. Decreasing loss demonstrates that the compact weights are learned through the complete effective large convolution." ] }, { "cell_type": "code", "execution_count": 7, "id": "66355075", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "step 00: 3.793793e-03\n", "step 01: 2.464888e-04\n", "step 02: 1.611137e-03\n", "step 03: 2.018646e-03\n", "step 04: 1.018261e-03\n", "step 05: 1.871863e-04\n", "step 06: 2.378205e-04\n", "step 07: 7.755454e-04\n" ] }, { "data": { "image/png": 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pmYJO3Eylm/Gp5OuhoF6+zmRs1ELXwwIAiULgpCUZGRm0bt068vf3p4KCAvL09KS0tDRydFTO5Oi7rq0ciP/XxKTnU0JmAbnbW+h6SAD3tCs8nhZvu0zxmQXlRyLJw96CFo0IpGFBHngFAUB6gdO///5LR48eFTM1PEvTp0+fJvk+6enptHbtWrpz5w4tWLCAnJycqt3m0qVLtGXLFioqKqIhQ4ZQ37591dclJCTQ+fPnq93H3NycBgwYQB07dhSB0s6dO+nixYsUGBhIDg7KvCFDYGNuQoGedhQem0Wno9JoeGdPXQ8J4J5B08x1Z6nqPlAO/Pn4dxODETwBgHQCp7KyMurduzdZW1uLYCkvL4+GDh1KU6ZMoa+//lqr3+vjjz+mb775hrp3707btm2jGTNmVAucNmzYQE8//bQ42dra0sMPP0wLFy6k+fPni+uvXr1KX375ZbXH5hklDpxYTEyMuM3t27dp1KhRZGRkZHB5TiJwup2OwAn0fnmOZ5pqKp7Bx3ihjq8fEuiOZTsAkEbgxBWrly1bJoIZFQ6cHn30UXr++ecpKCioxlkjTryuOiulUCho165d9Mgjj9T4vQYOHEivvvoqhYWFicCpKp5hevHFF2nu3Ln0wQcfiGPBwcE0ffp0mjhxInl7e1P//v3FqTa5ubnUuXNn2r17txhPz549xUza/fffT4aie5uWtProbeysA7138lZaheW5moMnvp5v18ev+uwyAEBDGekycKoYNLFu3bqpZ25qwstgvIR28OBB9TEOUmbOnCmCHM4zqkmvXr3I0tKy1rFwgJOcnEyTJk1SHxs3bpxYPtyxY4dGz2flypU0Z84c2rx5s5h14iXB1q1bkyHurLsSn0U5hSW6Hg5AjW4k5dDqI7c0enWSsmsPrgAADDLHqaI1a9aQhYVFtYBKZcKECSLXKDQ0VMwwcQ7SSy+9RFu3bqUDBw40OKeIl+E4kPP19VUf43Fwgve1a9c0eozZs2fTihUrRB6Vm5ubGJ+Xl1eNt126dKk4cfkCfcIJ4dz0lxPEz91Jp373ueh6SABCYlYBbQuLo83nY8VysqZcbbHJAQAkGjjxLBLnFP33v/8lZ2fnWm/3+uuvU3FxsViWGzZsmLgfB03t27dv8Pfm/CorKysyNjaudNze3l4swWmCAy/OneLTvcyaNUucsrKyxPfQt7IEMemxdOo2AifQrcz8YtodniCCpWM3U0lRntBkYtSC+t3nTOfuZIjb1NYkiHfX9WxrGLtaAcBw6EXgdOLECRoxYgS98cYbYubmXubNmyd2v61fv55Wr15NAQEBjfr+NjY2IkDigMzU1FR9nJf+OFFcTjjPadO5WDoThYa/0PwKikvpwNUk2nwujvZfTaKikrK7P5utW9Kobl4U2smDHK3N1LvqOBG8puBpgL8LEsMBQHqB08mTJ0VSOM/UfPTRRxrdh2edbty4IZbpONDq0KGDSMZuKC4dwHhZjssKsJycHFHIkh9bTlR5TvxpvqS0TLRjAWiOApY8s7QzPIGyC+7m17V3s6FRXb1oZBdP8nG0qnQ/rtPEJQcq13Hi0hrGlFNYSr+diqY+fs40ogtKawCARAInbk/C2/45aFqyZIlG9+HZJs4j+ueff8TOO17W48Br7969FBIS0qBxcFkEHx8fkaOkKoWwatUqUU5g+PDhJCf3udqQnYWJaPh7JT6bOnnr11IiSANv6rgUl0Wbz8XStgtxlJhVWGmJbWRXTxrVxUs0oOZl8Npw8MQlB07cTCmvHO5EPds60XvbLtG643fotT/Ok62FCT3k79pMzwwApE5ngRMvjXHAwwUkS0pKxI40lbFjx9Y4g8TBDO9e279/v7pcwaJFi0RNKH4snoWqKUF83759YkdefHy8uMxBGt9O9X04t+mnn34StZciIyPF0h0nnHMQ5eoqrz+4RkYtKKR1S/rnarIoS4DACbQpKjWXtpxXJnnfTL6bP2hvaUqPdvKg0V09RZ4d/xxqitur9PZ1ovYOLURdNf7A8/7IIMrKL6GtYXE0Y90ZWju1l7qtEACAQQZO/MftrbfeqvG62koHjB8/XswOVV0+W7x4MY0cObLWXXVcZNPd3V2cVCUPqn6fwYMH0/Xr10WAxXWd3n//fdE+RY66t3EUgRNXEH/ugba6Hg4YuOTsQtpxgYOlODoffbdkiLmJEQ0OdKPRXb3owfbOZG5SeXNGY3Dg9dnYLpRdUCx+lp9bfYp+f743dfTEDCoANE4LBc+Zg06odtVlZmaSnZ2d1h6XZ+BUffIaUr2ciwaOXXGMXG3N6cRbg+pcKtE3jX3uhkyfnjvXAfv7Eu+Ii6MjN1JEHhPjiaS+7ZxFsPRwRzeytbi7GaMpnnt+USlN+umE2CXqbGNG62fcT22drUlK9Ol9b05yfd4Mzz1N6+97ff4f6zw5HPRPZ297MjVuQUnZhRSdlk+tnCon5QLUhHfAHbyWLJbh9l5JpILiuzviuvg4iGW40M4ezVpbydLMmFZO7kFPfX+cLsdn0cSVJ2jDzD7kYV97QVwAgLogcIJqLEyNqZOXPZ29kyGW6xA4QW3KyhR0OipdBEt/XYynjLxi9XW+ztbKHXFdPXU6y8P5Uz8/11PMot5KyaVnfjxJ/3uhjyhpAABQXwicoEacSMuBEy9xjAn2xqsElUQk8I64OFHNOzYjX32cl3d5+/+orp4i+NaXZV4XW3NaO7UnPbn8mGjZMmXVSfplWi+tLRUCgHwgcIIa8c46dvo2CmGCUkx6ntiltvV8HEUkZKtfFltzExoW5C5ml7ihLu9y00feLa3E7jqeeboQk0nT15ym1c/2FDOsAABNEjilpKTU2Q6FnT59utZec2B4gdP1pBzKyCsiByssa8hRem4R7bgYT1vOK9vwqJgZG9GAABcRLA0McDWY4KOdqw39/GxPeuqH43T8Zhq99Os5Wj4xGIVeAaBpAicXFxdRuE6lXbt2onZSRT169Kh0GzBMTjbm5OtiLWrtnIlKp0Ed3HQ9JGgmvBNtz5VE2nIulv69lkwl5TvieNWtd1snsQz3SJAH2VsZ5jIX1yb7YVJ3mrzqpEhin/vnBfr0iS71qh0FAPLVqKU6LhYJ0tWjtaMInHimAYGTtHF7ncM3UkRxyt2XEiivqFR9XUdPOxEsce6SVHaj8ZLi0gnBojjmxrOxZGdhSotGBOpNThYA6C/kOEGdDX//OB2Nhr8SxTPD56IzxMzS9gvxlJpbpL7Ox9FStDwZ3c2T2rlKs9H1kEA3+vTJzvTaH2G0+uhtcrAypVcHt9f1sABAzyFwgjoriLOwmEwqLCnVamVnaJpGucp+bQrq5etca5I27yrbej6WtoTFUVRqnvq4k7UZDe/sQSO7elFwKwdZzL481s2bMvOK6b1tl+nLvddF6YJn+6JaPgDUDoET1KqNk5WotpySU0ThsZkU0hq9vvTRrvB4WrztMsVnFpQfiRSNcnnpiZvgsoTMAtou2p7EUnhslvq+VmbGNLSju6i19EA7ZzI1llcFZjalb1vKzC+hL/ZeE68jB08owQEAWgucqn4KlcOnUrni95Z31+2+lCjynBA46WfQNHPdWaq6HYMDJT4+sXcrikzOpWM3U0m1Z8PEqAX1b+8igiVerrIyw+en2YPaUUZ+Ea06cpve3HBB1Hfi1wYAoKp6/cVctWpVfW4OEimEyYGTqOfU30/Xw4Eqy3M8Q1LTHlbVsbXH76iP9WjTUizDhXbyQNXsGj4kLAwNpMz8YpEsPuvXs6JsASeRAwA0OHCaMmVKfW4OEspz4pIE3F4DW7b1Bzdjvrs8V7txPXzopQHtyMcRPQfrwj/b/3m8M2UXlNCey4miQOav03tRZ28HLb5rAGDotJLQcOzYMfrrr78oPf1ugTyQBt6KbmFqROl5xXQzJUfXw4EKkrLvHTSx+/2cEDRpyMTYiL55qhv18XWinMISmvzTSbqRdLdKOgCAUX3rNk2fPr3SsYkTJ9L9999PoaGh1KFDB7py5QpeVQnhZOGuPspP3BUrR4PuudpaaPV2oMRV0H+Y3J26eNuLDwwTV54U7WYAAOodOC1ZsoT69u2rvnzw4EH65ZdfRO7T9evXRQC1ePFivLISzHNipxE46ZWebR3F7rnatmfwcb6ebwf1Y2NuQque7SlatCRkFdAzP56k5OxCvIwAUL/Aac+ePTRkyBD15Z07d4pAinOfuP0KB1ZHjhzByyrVhr9RaPirT7hOE5ccqCk5XBVM8fX62nRX3zlam9HaqT3Jy8GSbqXkimU7Th4HAHmrV+CUlJREDg53EyWPHz9O/fr1U19u1aqVaAQM0hLcuqXoU8bFEjXNq4HmwXWaato2725vQd9NDFbXcYKG4RYz66b1EvXMLsdn0bSfT4lefgAgX/UKnNq2bUv79+8X59PS0kTg1L9/f/X1UVFR1Lp1a+2PEnSK+3j5uynbbpzBcp3etU25Eq8saDl7oB/9X6gf/TqtJx2eNxBBk5a0dbamNc/1IlsLE5HnN/OXM1RUUqathwcAKQdO06ZNE8ngzz33HD300EPk5uZGAwYMUF+/d+9eGjp0aFOME/QkzwkJ4vrlfHQGxaTniwrgLzzoR8M6OFNvXycsz2lZoKcdrZrSQ+wwPXA1mV7/33lRRwsA5KdegdOrr75K7777rkgE59mnbdu2kbm5eaWyBK+88kpTjBP0oOEvO4M8J72y40K8+DqogxtZmqGXYFPXNFs+MYRMjVuIpsjvbgkXM34AIC8m9a2u+8Ybb4hTTdatW6etcYGeFsIMj8uivKIStOnQA1yQdMdFZeDEzXmh6T3k70qfj+1Ks38/R7+cuEMOVqb05tAAvPQAMiK/jp7QILyzyNPeQixPnL+TgVdRD5y9ky4qh/PWee49B81jRBdP+r/RQeL80n8i6fuDkXjpAWSkXoGThYWFRieQ9qzT6SgUwtQHvFzEeFcdF22E5vN0r9Y0d5i/OP/RXxH0x6m7PQEBQNrqtVRXWFgods1NnjyZfHx8mm5UoLd5TlvD4ugUN/wFneKZPyzT6daLD7UTdZ1W/HuTFmy8SLYWpvRoJyyZAkhdvQKnHTt20MqVK+mTTz4Ru+qmTp1Ko0aNIjMzs6YbIeiN7q2VM07n7mSIf9worKjbBr9cydrOwoT63YdlOl2ZPyyAMvOK6fdT0fTK7+dEyQK8HwDSVq+lukcffZQ2btxId+7coYEDB9LChQvJ09OTXnvtNQoPD2+6UYJe8He3JVtzE9H8NCJBWTsIdGPHxTjxdWhHdzIzQaqirvCGmQ8f60ShnTyouFRBz685Q2ewlA0gaQ36i+vq6kpz586liIgI2rRpk2iz0qlTJ+2PDvQKzzB1U7VfQSFMnSkpLaOdFxPE+eFdPHU3EFD/Xnw+rgv1u8+Z8otL6bnVp/DBAkDCGvxRNT09nZYuXSpqO129epWmT5+u3ZGBXuqh7luHBHFdOX4zjVJzi6illSnd7+eks3HAXeYmxrTimRAKbuUg8p64KXBUai5eIgC5B05c7G3fvn00YcIE8vLyoj/++INmz55N8fHx9P333zfdKEFvhJQXwjx1Kw3F/3Rk+wXlMt2wIHcyNcYynb6wMjOhVVN6UoC7rcg/m/jjCUrMQm9HAKmp119dX19feuaZZ0Qz37CwMDp48KDYYWdlZdV0IwS90tXHgUyMWlBCVgHFZuTrejiyU1xaRrsulS/TdcYynb6xtzKlNc/1pNZOVhSdlk/P/HiCMvKKdD0sANBV4HT79m1KTU2lL7/8UuQ0oY6TPD9Vd/SyF+eRBNv8jtxIoYy8YnK2MaNebZW7HEG/uNpZ0LqpvcjV1pyuJebQlFWnKLewRNfDAgBdlCNYtWqVtr4vGLDurVtSWHSGqOc0qquXrocjy6KXjwR5kAmW6fSWj6MVrZvWi8auOCYaMb+w9gz9OKW7yIUCABkFTlOmTGm6kYDB6NGmJf14+BZ21jWzwpJS2q1epkOhRX3X3s2WVk3pQU+vPEGHb6TQK7+dp28ndEPAC2DgkFkK9RZSXgjzamK22EEEzePQtRTKLigRS0Cq9jeg37q1akk/TOpOZsZGIjeNK4zzJhsAMFwInKDeXGzNqY2TFfHff240C827m47beqBqu+Ho286Zvn6qGxm1IFp/JoY+3HEFwROAAUPgBA2imvE4g0KYzaKguJT2XE4U50d0wTKdoeHSEUse7yzOrzx8i5YdiNT1kACgOQOn5cuXN+g6kFaCOEPD3+Zx4Goy5RaVkqe9BXXzUb72YFjGdvehd0I7iPP/3X2V1h6P0vWQAKC5AqeZM2c26DqQ3owT7xgqKinT9XBks0wX2tmDjHjNBwzStH6+9PLAduL8u1vCacv5WF0PCQB0uVQXHR1Njo5IWpUDPxdr0fKjsKSMLsVl6no4kpZXVEL7riSJ8yh6afheH9KeJvVpLXIE3/hfGO2PUC7BAoAEyxF07dq1xvOsrKxMFMgcMWKE9kYHet0VnnfX7b2SKMoS8O4haBr7I5JE81gfR0vq7K0sPgqG/bvz3oiOYkfqlvNxNHPdWVo7tRf1REFTAOkFThMnThRfud2K6ryKqakptWnThkJDQ7U7QtDrek4icIpKo+nkq+vhSNb2MGXRy9BOnuKfLhg+Xm799MkuorwEB8ZTV5+i357vTUHlVfkBQCKB05w5c8RXZ2dnFMME6l7e8JdnnLg2Df6pa19OYQn9c1W1TIfddFLCDZqXPR1Mk346SSdvpdHkn07S+hl9yNfFRtdDAwBt5zihgjgw/nRsZmJEqblFdCslFy9KE9h3JVHkkbV1tqaOnnZ4jSXGwtSYVk7uLt5b/j165seTFIfm2QDSC5zi4+PpmWeeIV9fX3JwcKh2AnngvltdvZXv9+koFMJsCtvKl+l4tgkzetJkZ2FKPz/Xk3ydrSk2I58m/niCUnMKdT0sANDGUp3K1KlTKSUlhRYsWEAtWyIpWM5C2rSkk7fT6PTtNFGnBrSHk4cPXktWlyEA6XK2Mae103rRk98dpZvJuTR51Un6bXpvsrUw1fXQAEAbgdOhQ4coIiKCvLy8GnJ3kFiC+HfleU6gXVwpvKi0jNq52pC/my1eXonzcrBUBk/Lj1F4bBZN+/m0mIni5TwAMPClOhcXFzI3N9f+aMDghLRS1u26mZKL5YUmKnqJZTr58HOxoTXP9SQbcxM6cSuNXvr1LBWXosAsgMEHTpMmTaIPPviASktLtT8iMCj2VqbU3k25Cwh5TtqTkVdEh6+niPMoeim/TRecMG5uYkR7ryTR3A0XqKxMoethAUBjluq2b99OZ86cod9//13UbqqatHr8+PGGPCwYcPuVa4k5dCYqnYZ2dNf1cCRh96UEKilTUIC7rViqA3np7eskShU8v/YMbToXS3YWJvTeyI7YIABgqIHT6NGjxQlA1fD31xN30PBXi7ZfUO6mG9HFEz9kMjWogxt99mQXeu1/5+nnY1Fkb2Um2rUAgAEGTu+88472RwIGq0d5w9/w2EwqKC5FMmsj8Vb0o5Gp4nxoJ+ymk7PR3bwoq6CY3t1yib7ed53sLU1p6gNtdT0sAFlrVJNfznHixr4gb94tLcnNzpyKSxUUFp2h6+EYvJ3hCVRapqAgLztq42yt6+GAjk3q04beKJ9p+mD7ZdpwJkbXQwKQtQYFTnl5eTRjxgyytramVq1aqY9zUcyLFy9qc3xgADjHrXtr5awTEsS1uZsOy3Sg9NLAduqZpnl/XhA5cABgQIHTwoULRaPfv//+u9LxJ554gt577z2Sk8LCQpo/fz75+flR37596eDBgyTnvnWnbqfpeigGLSm7QGxDZ1img4ofTt5+tAM9EeItZiNf/vUcHb2RIs4fv5lKu66kiK98GQD0MMdp/fr1tG/fPrrvvvsqHefAgWed5GTjxo3k4eEhXo9jx47R2LFjKSEhQbZ5TryzjrdOc/d3qL+dFxNIoSDq6uNAPo5WeAlBjX+nlozpRFn5xfT35USasvoU2ZqbiB53SpHkYW9Bi0YE0rAg5MYB6NWMU1JSEnl6KpcRKpYiKC4u1svaTtxbLzw8nBT8H6kWUVFRFBsbW+/Hfuqpp+iVV14RZRk6depEFhYWJEe8bd7KzJiyC0roWlK2rocjiaKXAFWZGBvR1091I383GyoqKasQNCklZBbQzHVnaVe4clcmAOhJ4BQUFER79+6tFjgtX76cQkJCSF/wGEeMGCFmxjio4WW1qjgnKzAwkLp27Ur+/v7Uo0cPun37tvr6ZcuWkbOzc7XT4MGD1bfZsGEDOTo6Us+ePenbb78luf5BD26lXK5D+5WGic/Mp1PlrWsexW46qIWpsRFl5BfXeJ3qo+HibZexbAegT4HT4sWLafLkyeqyBEuXLhUByocffkiLFi0ifQqcpk+fTj/++GON1/MM2WOPPUbBwcGiaXFqaio5ODjQuHHj1Ld59tlnRV++qqc///xTfRt+7leuXKHNmzfTzJkzKTMzk+QopLUqcEKeU0PsKK/dxHWxPB0stfregHScvJVGiVnVPwRWDJ7iMwvE7QBAT3KcQkNDReDw0UcfkY2NjUiO5uBj9+7dNGjQINIXS5YsUc8I1RZYRUZG0p49e8jY2FicOPDr168fnT9/XsxCWVpailNtVqxYIZ5zu3btxMxWQUEB5efnk729fbXb8oxXxVmvrKws8bWsrEyctIUfi5cltfmYmghp7SC+8qxJc39vXT93bQZOoZ3cGzR+Q37ujSWn556Yla/x7aT8esjpPa8Kz12h9fe9Po/XoMCJcbCgT0FSQ3DbGFdXV2rb9m5Bud69e4vlR76OA6d76dWrF40ZM4Zu3bolAizecejuXnPbkY8//ljM1lWVnp5OJSUlpM0fgOzsbPFHxcioUaW66qW1jYKMWxDFZuTTlah4crNt/kbQunrujRWfWUjnojOIF777eFtQWlqabJ67NsjpuVsoijS+XUN+jgyFnN7zqvDcs7X+vvPPUpMHTlLAS3NOTk6VjpmYmIjZIl660wQHVxcuXBC1rays6t4FtWDBAnr99dcrzTj5+PhQy5Ytyc7OjrT5S8XBHz9uc/5B4X11HTzsKDwuiyIziTqU13ZqTrp67o21Ifym+NqrrSO1b+Uuq+euDXJ67oMcWpL7rluUmFWgzmmqiINvd3sLGtS5NRlLeHernN7zqvDcW2j9fef//RrfVtMb8lKUpm7cuEGGgF+ooqLqn954Oc3U1LRej3WvoImZm5uLU1X85mv7F5//oDTF42rS8JcDJy5LMLKrF+mCrp57Y+y4qCxhEdrFs1HjNsTnri1yee789N4bGSh2z3FYVFPwxCUJTE2MSerk8p7XBM/dSKvve30eS+PAifOYVDgv6NNPP6XHH39c7EJjp06dEnlPc+bMIUPBsz2JiYkiele9aJzYzTlKfB00rJ7T6qO3UUG8Hm6n5NLF2EziyYFHgho22wTywnWavpsYLHbPcSK4irWZMX02tgvqOAE0IY0Dp2nTpqnPDx06lH766adqxS7XrFlDv/zyCxmKAQMGUE5ODh06dIj69+8vju3YsUMkiXOCODS8gviV+CzKKSwhG3NZrwZrZMdFZVL4/X7O5GzT/HlhYLjB05BAdzpxM4V2nr9Da08nkJmJEQ0McNP10AAkrUHzXCdOnKBRo0ZVOz569Gg6efIk6Yu4uDhR+FLViPjy5cviMgdLjGs7PfnkkyIo5ICJZ8xee+01mjVrVq0J3lA3NzsL8nG0JO78cO6OsiYR1G17+W46FL2E+uIcpt6+TjTrwVbkYmtO6XnF9M/VJLyQAPoWOPHuMVUBzIr4WF1b95sb128aP368+NqxY0eaNGmSuMx99irOkj399NP0wQcf0BdffEFvvvkmff755zodt6FTNfxVFXOE2kUm54jZOROjFjQMy3TQQPzz81hXZTeHDWdi8DoCNKEGraNwHtPEiRNpypQpIseJtwWePn2aVq9eLWo76QsuDcCnunCLFG5MLLfmxE29XLfpXCwKYWpge5hytumB+5zJwcqsqd8akLAxwV70/aFb9E9EEqXkFGLZF0CfAqc33niD/Pz8xAwNN/xl3Lbkt99+q3EJD+TZ8Pd8dAYVl5aJFhFQd2+6ULRYgUZq72ZLXbztKSwmk7acj6OpD9ytTwcA2tPgzF3OZ+ITQFXtXGzIzsKEsgpKxDJUZ29lRXGo7GpCNl1PyiEzYyN6uCNy6qDxngjxFoHT+tPR9FzfNpV6iQKAdmAqALTOyKiFqOfEkOdUux3ls00Ptncme8v61Q0DqMnILl4iEI9IyKZLccqWTgCgBzNO9yqGaSgFMHWFmyLzqbS0lKSc57Q/IonORKVhyaAGnBd4dzedMqkXoLHsrUxpSEc30feQk8SDvKr3zAQAHSWHV8QFJK9fv07ff/89zZ49u5FDkj4ud8AnbrlSUzNgqe2s4yABSwaVXY7PopspuaLuzuBA1N0B7S7XceC05XwsvfVoB/EzBgA6DpxmzJhR43EuIsmFMQE6e9uLJYPk7EKKTsunVk73bkkjJ6rZpgH+LigSClrVr50zudqaU1J2Ie2PSEQVcQAt0+pHkSFDhtDhw4e1+ZBgoCxMjSnIS9m4+NRt6XZob/gynTK/Cct0oG0mxkb0WLCyTyRqOgHoeeDErUv0qQAm6EdZgtNRCJwquhCTKWbhLE2NaVAHVx29OyBlT4Z4i6//XE0Ws74AoOOluuHDh1c7lp6eLlqxvP/++9oYF0gA76xbcfAmnUYF8Rp70w3s4EpWZujlB9rXztWWuvo4iFpqnOs0rZ8vXmYAfdtV17JlS9G2ZODAgdoYF0hASGtlw1+uVZSeW0QtrVEZm5fpOHGXjejsoeN3CKSeJM6B0/rTMWJnKzZoAOgwcAoICKg1QXz58uW1Xgfy4mhtRn4u1hSZnEtnotKxe4yIzt7JoNiMfLI2M6aH/LFMB01nRGdPen/7ZbqamE3hsVnUyVuaO3gBDCLHaebMmQ26DuRHVZbgdBQa/jJVUjiXIOAEeoCmrOk0tLwi/YYz0XihAfQxOTw6OpocHZX/KAFUhTDZaeyso7IyBf1Vnt+E3XTQXMt1bEtYHBWWSLfgLshDaZmCjt9MpV1XUsRXvqz3S3Vdu3at8byqCObt27dpxIgR2hsdSGZnHe8kKygulfUsC8+6JWYVkq2FiWizAtDUHmjnTG525uLnbt+VJHoUzaTBQO0Kj6fF2y5TfGZB+ZFI8rC3oEUjApu9Vlm9AqeJEyeKr2FhYerzKqamptSmTRsKDQ3V7gglSA4tV1RaO1mRs40ZpeQUUXhsprqHnZyX6R4OdCdzE/kGkNB8jI1a0Jhgb/ruQKSo6YTACQw1aJq57ixVnV9KyCwQx7+bGNyswZNJQ1qtODs705QpU5pqTJInh5YrKryTh/Ocdl1KEO1X5Bo48ZTyXxcTxPnhXbCbDpp3uY4Dp3+vJVNSVgG52lng5QeD+tu5eNvlakET42MtiMT1QwLdxQcFvc1xGjVqVKXWKr/99ht1796dxo0bR6mpqdocH0goz4kb/srViZuplJJTSPaWpmL5BKC5+LnYUHArB/EPaPP5WLzwYFBO3kqrsDxXc/DE1/PtmkuDAqd58+apa4IkJyfTtGnTaMCAAZSUlFStATCAapaJc3w4QVqOtpXXbhrW0Z1MjdF0FZrXEyE+4ivXdOJaYgCGIim7QKu304YG/QXfunUrjRw5UpzfuXMnPfDAA/Tf//6X1qxZIy4DVNTR044sTI0oI6+YIpNzZPfiFJeWiTV6hmU60AX+uTM3MRLFaHmjBoChcLW10OrtdBY45efnqz+17N+/XzT3ZQ4ODpSXl6fdEYLB4xkWbv8g13pOxyJTKT2vmJyszaiPr5OuhwMyZGdhSsOCVDWdYnQ9HACN9WzrKHbP1YbXvvh6vp1eB069evWiN954Q8wwbdiwQd277vTp09SjRw9tjxEkVJbglAzrOal20/E/Lu5cD6DLmk5bw+JEaRAAQ2Bs1IIWhgbWeJ0qFZxLEjRXYjhr0F/xb7/9lm7evEnvvPMOvfvuu6IFC/vkk0/o7bff1vYYQUJ5Ttx6RU6KSniZrnw3XWdPXQ8HZOx+P2fxyTwzv1jUdAIwFEWlZeJr1dDI3d6i2UsRNLhXXfv27enQoUPVju/atUsbYwIJ6tbKgXg/QVRqnqy2RB++kUxZBSXkYmverFPJADXXdPKipf9E0voz0RSKJtNgAApLSunTv6+K868/3J5CWjnQzfhU8vVwol6+zs0609SgGacuXbqIGaVjx46JSuEA9cmxCHC3k12e0/YwZVL4o0HNV2MEoDaPByuX6w5eS6bErObbhQTQUL8cv0Mx6fnkamtO0x7wpd6+TjSsg7P4qqu/qfUKnDhounPnjthR5+7uTpMnT6b169eLQo4A99JD3bdOHoET55H8fTlRnB/eBct0oHu+LjbUvXVL4qogm86hphPot6yCYvpm/3Vx/tXB7cnSTD86LtQrcBo7diytXbuWEhMTadOmTeTp6Unvv/++qCQ+aNAg+uKLL+j6deWTBKgqpHV54CSTQpj8qT6nsITc7SwopJXyuQPoS5I4765DTSfQZz8cvCl2JPs6W9PY7sqfW33QoORwIyMj6tu3L3388cd08eJFunHjBo0ZM4b+/vtv6ty5M/n7+4tddwA17ay7FJdFuYUlkn9xtpcXveRcEiMs04GeeLSzh6irdiMph85HZ+h6OAA14lzYlYduifNzh/nr1Y5krYykVatWovcaF7/kliv/+c9/sHwH1Xg6WJKnvYVo/RAm8T/Y+UWltPdK+TIdknBB32o6dURNJ9BvX++/TvnFpaIG4NDyn1eDn3GqjZWVlehl98MPPzRmXJK2dOlSCgwMlGXNK1VZAm74K2X/XE2ivKJS8nKwVBf/BNAXT3ZXtmBBTSfQRzeTc+i3k9Hi/PxHAtQt3gw6cHJxcRF96aBheHbu8uXLdOrUKfkmiEs8z0lV9JJnm/Ttlx6AK9jz7G92QQntKd/AAKAvPvv7mliZGBjgKnbP6ZsGBU7PP/88LVy4kAoLC7U/IpC0kNbKGaezUelUUl7UTGo4f2t/hPKDBYpegj7inLvHy5PE16MFC+iR89EZtONivKj7x7lN+qhBBTA5l+nMmTP0xx9/kK+vL5mZmVW6/vjx49oaH0iMv7st2ZqbUHZhCUUkZFOQlz1Jzb6IJCooLqPWTlYU5KWsXQWgjzWdvtl/gw5fT6aEzAJRhRlAlxQKBS3ZeUWcH9PNW137TxKB0+jRo8UJoL64YFlw65b077Vk0X5FioHT9jAs04H+a+NsTT3bONLJ22m08VwMvfhQO10PCWTu32vJdPxmGpmZGIkq4fqqQYET96gDaCguwMe/INzwd/L9bST1QmYXFNOBa8nifGgnFL0E/a/pxIET13Sa2d8P+XigM2VlPNsUIc5P7tNabKzRV40qR1BaWkrR0crMd4D67qzjCuJSK8DHibbc2NfXxZo6eNjqejgA96zpZGlqTDeTc+nsHWmXCAH9tiUsVqRvcCqHvs9+NihwysvLoxkzZpC1tbWo4aTyzDPPiIKYAHXh7fkmRi0oIauAYjPyJVn0kpPCsZsO9J2NuQk9EoSaTqAHjXx3XxPnZzzkRy2tK+dNSyJw4h11YWFholJ4RU888QS99957JGf5+fk0depU2rBhg66Hore431DH8twmKfWty8wrpkPXlct0I1D0EgzEE+WtLDg3j/srAuiikW9shrKR73N92+r9G9CgwIkb+65Zs4YefPDBSse5DcuePXtIzubNm0cpKSkUHh6u66HotR4S7Fu3+3ICFZcqyN/Nlu5zwzIdGIbebZ1EPgnvdN19KUHXwwEZN/J9bYj+NPLVeuDExS+5wS+ruBxRXFws8p7kimeZ2rdvL8uK4PXVXVUIU0IzTneX6Tx0PRSABtV04iRxAJ008nWxpifLfw4lGTgFBQXR3r17qwVOy5cvp5CQkHo9VmxsrCio2a5dO9Eg+Ntvv9V6wnB2drYYW3BwMDk7O9OtW8rGgRVxMc8FCxaIwKdNmzZiTGlpd2dDjh07RuPHj6924lwvdvv2bbF0+dJLL2l17FIvhHk1MZsy84vJ0KXlFtGRGynqpr4AhuTxYC/x9fCNFIqTWN4hGEgj36EBetXIV+vlCBYvXkxPP/20Okjg3mu7du0ShTF3796t8ePEx8dTr169xGnTpk2izx0HTocPH6Z+/fqRtvA4LSws6IUXXhCBTk2zYi+//LJ4DuvWrSNbW1sROD322GP077//iuu9vLxqrF1laancMjl79mwqKSkRwRS3UykrKyN/f3966qmntPY8pMTF1pzaOlvTrRTezZNOA/xdyZDtCk8QLQICPezI18VG18MBqJfWTtbUs60jnbyVRpvOxdKsAfq9qwmk4at9yka+3VpxI183MhQNCpxCQ0Ppzz//pI8++ohsbGxo/vz5YjaHg6ZBgwZp/Dhvv/222JnHFchNTJRD+eKLL2qdcdq3bx/t2LGDPv/880rHuSTCnDlzaOXKlSLoqWr16tViZqy2iuYJCQn0448/0u+//67O2/r+++/Fczp06JAI4nj3YMUdhFVx4MS5TYzHz8FZx44dNX4t5CikdUsROJ2+nWbwgdOOi+VFL7tgtgkMEy+TcODEy3UvPoSaTtD0jXx/P1XeyHeY/jXy1XrgxDhAqk+QVBUHFxs3bqTXXntNHTSp1PYCent702+//SaCkq+++koci4mJoQEDBlDPnj3FjFVN7vWGHDlyRMwQDR48WH2sW7duopmxKnC6l4r3vXHjhph94qVHqLvhL/+RNvQ8p+TsQjoWmSrOD0fRSzBQj3byoEVbL6lngVXL6QBN4dO/r4pZ+kEBrtRLDxv51kVnC4qcYJ6ZmUlOTk5iCczHx0cs2S1btqzWGSde+uJZJw6eXn/9dZEfxUET51WtXbuWjI0blo0fFxdHpqam1LKlMmFZxdXVVSwn1teYMWNEaYba8NJmYGCg7JPIVX+YuakjF400VLvC46lMQdTF255aOdUcvAPoO2tR00k5Y7r+NJLEoemcu5NOf11MEI1839TTRr5aD5w4mOBil9zg18HBodpJE6o8o7feeovGjh0rZn14ue3NN9+kzz77rNb7ccDBwROXQ+ClMJ7V+eWXXxocNDEO1IyMqr8UPBPGM1H1xWPkBPrazJo1S+RBnTp1iuTMz8WaWlqZUmFJGYXHZZKh2lah6CWAobdgUe0QzS+S7w5paDoKhYI+2RWh9418tb5UxwUeOZ+Hd6FVnaXRFM80cbAzbtw4mjBhgjjGOUScjM2zRxxE1YaX0BwdHSkyMlIEb1WX+uqLH4931eXk5IicLZXk5GRxHTQNXkLl9ivcpuTM7XQKbtWwnyVdSswqED33VO0rAAxZr7aO5ONoSdFp+aKm0+huyt12AHJr5FuXBkUcnPcTEREhdpo1lLm5ucgjUu1KU+E8Ja4HVdcS38CBA6lDhw5ipmnYsGFkZmZGH374YYPHwkuEjHfz8eMxDsp4CU91HTRdw18OnDj4mP6gr8G9zDsuxBOvLAe3ctDrppQAGtd0CvamL/deF/mHCJxAro18tb5Ux7MwHPg0FucpcfBz7tw5cZn73P38888iR6gmPMvFCel+fn6iejkXmuR6Ut999x29++67DR4Hz1rxTsF33nmHEhMTRd0nHltAQAANGTKkwY8Lmjf8PRNlmA1/d1zEMh1ICwdO7EhkiuR6SYKeNPK10P9GvloPnCZNmkQffPBBo6uEc40jDlY4OOGZpv79+9PkyZNp0aJFNd6ec5t4OY8rdPMsE+NZK27zsnXrVsrIqLm7N5cv4MKXqtkk3oHHl7lmkwoHbLxrj0+8DMjFL7dt29boZUCoW5CXHZmbGFFqbpHYzWNIuFAgB3yc4IiilyAVPo5W1NvXUcykbkQlcWiCRr4zDaCRb100jgp69+6tPs9b7c+cOSPqHnGV7arb/Wurl1QTLkfw6quvUm5ubqX8oppwPhQnklf9fryrjmetais7MHPmTBHsVVWx5hPnXG3evJmKiopEQFh1CRGahrmJMXXxdqCTt9NEWQJDKh7Jy3SsRxtHcrOz0PVwALTmyRAfkYey4WwMvTSwnUHV2AH9tK68ka+bnTk9e7/+N/LVSuA0fPjwSpdrqqLdUPxLea+gqeJt63OccRCkaSCkmsmC5u1bJwKnqDQa28PHYF767RfKi14iKRwk5pFO7vTulnCKSs2j01Hp4sMBQGMa+X6rauQ72DAa+WolcOIlNYCmYIgNf++k5lFYTCYZtSB17RsAqbAyMxEFMdefiaH1p6MROEGjfP+vspEvl6BRlbwwZA0ugJmamqrRMYB7CWml/DR7MyWXUnIKDeIF217eYqW3r5PouwcgNap/cLwknVdUouvhgCE38j18U5x/04Aa+dalQc9gxYoVonBlVXzshx9+0Ma4QEbsrUzJ302Zb8bJ1oaU34SilyBV3PS3laMV5RaViibWAA3x5b7rVFBcZnCNfLUeOP3nP/8RjX2rmjt3Ln366afaGBfITIh6uU5ZTFKf8e6/S3FZZGzUgoYFuet6OABNgvNGVbNOXNMJoCGNfP8w0Ea+Wg+cuDCknV31Mun29vZ0584dbYwLZNjwl50ygDyn7WHKZbq+7ZzJ0YC31ALcy5hgZZHjo5GpFJ2WhxcMZNPIV+uBE/eH415xVXEtpLp6tAHUpnt5w99LcZl63yOL+3ix4Z2QFA7S5t3Siu73U/7D23g2VtfDAQNt5Dt3WABJSYOqO3KVbi5HwE1qH3zwQVHx+eDBg6Ka95YtW7Q/SpA875aWor5HYlYhhcVkiKRrfXQ9MZuuJmaTqXELGtoRy3QgfbxcxzNOG85G08sD24m2LAB14ZhA1VqFK9H7u9+tmSgFDZpx4vYk27dvp9jYWHrzzTdp3rx5Yvnur7/+EtcBNLThr74niKtmm/rd5yKS2gGkjvP4bMxNRONfVUNrgLocuJZMJ24pG/m+NsQwG/nWpcH9RIYOHSpOANps+Mu71fT1jzN/ikLRS5BjTafQTh70x+loUddJSrkqoH2lZQr6pHy2acr9bQy2kW9dDL+gAkhGjwozTtxFW99wc8rI5FzxKWpIoDS21QJo4onuyt11f12Mp9xC1HSC2m05X7GRrx9JUYNnnG7duiWa4PIuOu5dV9GXX36pjbFJ1tKlS8WpsU2SpSbA3ZaszYwpu6CEriVlU4B79Z2buqSabXqovQvZWmCZDuQ1G9zGyYpup+bRzvAESVR/Bu0rKC6lz/6+28jXwUqau44bNOO0e/dusXvuf//7H3322WcUHh5Ov/76K3311Vd04cIF7Y9SYmbNmkWXL18WyfVwF1eU7dZKP8sSKJfplPlNoehNB7Ku6aSsywNQ1brjUZJp5Kv1wOntt9+mr7/+mg4fPiwu7927V8w8Pf300+Tv76/tMYIs+9bpV55TeGyWaHhqYWpEgztgmQ7k57Fgb7G1/PjNNNR0ghob+S7954ZkGvlqPXDi2ZJx48aJ88bGxlRQUEAWFhaiovjGjRu1PUaQYZ6TvjX8VfWmGxjgStbmDV7hBjBYnOTb189ZnEclcZB6I1+tB075+flkY2Mjzru7u1NkZKQ4b2JiQjk5OdodIchKVx8H0cqEp3vjM/NJX5bp0JsO4G7j3z/PxujlBg7QfSPfucOk0ci3Lo1+do888gjNmDGDVq5cSRMnTqTevXtrZ2QgSzybE+hhp1ezTuejMygmPZ+szIxpgL+rrocDoDNc9NXW3ET8PnCdHoCKjXyDWznQwzLYcdygwOm3335Tn+fluTZt2tCSJUvIzMxMBFAAjRHSWr/ynFRJ4YM6uEl63R7gXvjnf3gXZashLNcBi6zYyPeRDpJp5Kv1wGn8+PHq8y1btqS1a9fSjRs3RDXxtm2lm0kPzZvnpA8763g54u4yHXrTAaiW67imUw5qOsnep7uVjXwHd3Clnm2Vf7ulrlFLdVyHKDoaW1OhaXbWRSRkUXZBsU5f3rN30ikhq0AsT/Rv76LTsQDog+BWLcnX2Zryi0tF8ATydfZOuqjrxe0L3xwqrUa+Wg+c8vLyRF6TtbU1tWrVSn38mWeeoYsXL2pzfCBDbnYW5ONoSZx7eu5Ohl4s03GlcAtTLNMB8FLM4+qaTjF4QWRKIfFGvloPnBYuXEhhYWH0999/Vzr+xBNP0HvvvaetsYGM9WjtqPM8J55+3lH+iVqV1wEARGOCvURNp5O30igqNRcviQwduJos3n+pNvLVeuC0fv16WrNmDT344IOVjvft25f27NmjrbGBjIWoCmFG6S7Pif8oJGcXkp2FCT3QDst0ACoe9pb0QDtlTac/Meskz0a+u+428vWUYCNfrQdOSUlJ5OnpKc5XzKAvLi5G/zXQaoI4L9UVl5bptDcdb8HmT1UAUFNNp1jUdJKZLTJo5FuXBv034D513GalauC0fPlyCgkJ0d7oQLbaudiQvaWpSEC9Ep/V7N+/pLSMdoUniPPDuyg/JABAlZpOFiaiWO3xm6l4aWTYyPfFh9pJtpGv1gOnxYsX0+TJk+mdd94Rl5cuXUojRoygDz/8kBYtWqTtMYIMGRm1UNdz0kVZAu7HlZpbRC2tTOl+P6dm//4A+o43S4wo/1CBJHH5NfJ1t7OgZ/u2ITlqUOAUGhpKf/75Jx07dky0Xpk/fz5lZWXR7t27adCgQSRn3I5m6tSptGHDBl0PxeDpsuGvapluWJAHmUq8fQBAo2s6hcfrvHQINE8j329VjXyH3CfbncYN+o/AS3IcIO3bt48yMzMpOzub/v33X3GMr5OzefPmUUpKCoWHh+t6KNJp+BuVLra+NhfOqdp1SblMNwJFLwFq1c3HgXxdrEW7DdR0kr4V/0ZSRl4xtXO1ESUI5KpBgdPMmTMbdJ3U8SxT+/btqUePHroeiiR08rInM2MjsbPtTlpes33fwzdSxB8HZxsz2VTCBWgIznFVzTphuU7aErMK6MfDt8T5uUP9Jd/Ity5afeZcRdzRsWH/aLjXnbOzszpvSpt4RoxnwoKDg8X3uHVL+eZXVFhYSAsWLBCBD/fee/755ykt7e4SES9LcquZqicuBMpu374t6lq99NJLWh+/XPE0cCdv+2bPc9oepqzd9EiQh6z/OABoYkw3b1E5mn9Hb6egppNUfblX2cg3pHVLURBYzkzqc+OuXbvWeJ6VlZWJ4IGTxOvr6NGj9MMPP5C9vT3l5OSQtnEwY2FhQS+88IIIdLhVTFUvv/wy7dq1i9atW0e2trYicHrsscfEEiTz8vKi0aNHV7ufpaWyfsXs2bOppKREBFOXL18Wr4e/vz899dRTWn8+ctK9dUs6E5VOZ6LS1J9sm1JhSSn9fbl8Nx2W6QDuyd3egvrd50L/XksWs05zhvrjVZNgI9//nVY18g2QRSNfrQVOEydOFF+5arjqvIqpqamYqeHE8fpIT08Xj7Vq1Sp65ZVX6rwt51Tt2LGDPv/882ozXXPmzKGVK1eKoKeq1atXizf6+PHjNT5uQkIC/fjjj/T777+ri3p+//33Yobq0KFD1K9fP9FapmJ7mao4cOLcJsb5OBycdezYUaPXAGrXvY0jrTh4s9lmnA5dS6HsghJyszNX51gBQN34Qw0HTn+ejRFVpI15Cgok2ci3B/4u1i9w4uCE8XLXlClTtPKGTJs2TczS9O/f/5639fb2pt9++00EJV999ZU4FhMTQwMGDKCePXuSlZVVjfe7V3R85MgRMUM0ePBg9bFu3bqRi4uLOnC6l4r3vXHjhph96ty58z3vB3VTlSS4kZRD6VwewNqsWXbTPdrJQ5REAIB746UbrrAfn1lAxyJT6YH7lFXFwfDJtZFvXRqUwKGtoGnZsmUUFRUl6kJpgpe+eNaJg6fXX3+dYmNjRdDERTfXrl1LxsYN2xoZFxcnZsxatlT+k1ZxdXWl+Pj6d/8eM2aM6NtXG657FRgYiCRyDTham5Gfi7U4z0t2TV3Ybc/lRHF+eGcUvQSoTz7iyK6qmk7KJR0wfHJu5FsXnWW+8nZ9bhb8yy+/iKBFUxxwcPDEvfJ4KYxndfgxGho0qX44jIyqvxQmJiZiJqq+eIxcXb02s2bNEnlQp06dqvdjy5FqavhUVNPWczpwNYlyi0rJ095CbLMGAM09EeIjvnIpD673A4ZPzo189TJwOnDggNjtxo2BeemPTxxMrVixQpyvKYFbhZfQePce39/X11cEOI3Bj8e76qompicnJ4vrQPd5TuxME+c5bbugnF0M7YxlOoD66uJtL+r78M6rHeW/SyCNRr7PyrCRr14GTpzbxEtkERER6lOHDh1EKxc+X9sMEjcYHjhwoLgtJ3v/9NNP9PbbbzdqLL169RJfDx8+rD4WGRkpxqe6DnS7s45diMkUy2lNIa+ohPZfSRLnsUwHUH+o6SQtm88pG/ly7tpMGTby1cvAicsDqGaaVCcOllTHa8K71rg6uZ+fH61fv17kCHGz4e+++47efffdBo+FZ614NyDXkEpMTBQzWZxDFRAQQEOGDGnEswRtaO1kRc425lRUWkYXYzOb5EXdH5EkGgq3crSizuW1owCgfsZ08xJJxJyPeDNZ+6VloHnwB9TP95Q38h0gz0a+dTGo6n6c28QlAbhCt5mZmXr32549e2jr1q2UkZFR4/24fAEHY8OGDROXeQceX+aaTSo///yz2LXHJ14G5OKX27Zta/QyIGjnk6xq1ul0Ey3XqYpe8jKd3GuUADSUq50F9W+vTG/g0gRg+I18p9wvz0a+ddGrqIDznupKFB83bhyNHTu22j823lV37ty5Wv/hcRuYSZMmVTteseaTk5MTbd68mYqKikR+laqwJehPw19OOlU2/NXutHFOYQn9c1W1TOeh1ccGkGOS+D9Xk+nPM7H0+hB/1HQyMGjka2CBk4PDvXcy1RYc1TVLwEGQpoGQaiYL9HNn3Zk76VRWxrsgtTcrtPdyIhWWlFFbZ2sK9LDT2uMCyNGgDq5kb2lKCVkFdORGCj1YPgMFhgGNfCW2VAfyFehpR5amxqL5Lpf/b4qilzzbhGU6AC3UdOqiqumE5TpDgka+mkHgBAbB1NiIupbXVtJm+5XM/GI6eE3ZKge76QC048nuyr6Suy8liN8xMAxo5KsZBE5gMHq0KU8Q12IhTK4Uzrv17nO1QVVcAC3p5GVP7d1sxBK4akYX9Bu3tUIjX80gcAKDEVKe56TNnXV3l+nQYgVAW1DTyZAb+bqhke89IHACgxHcykHUiLmTlkdJWQWNfjxuGnz4eoq6DAEAaM/obl5iR925OxliNgP0u5Ev71rmv69zh/nrejh6D4ETGAxbC1Pyd1fuejuthYa/nH9RUqagAHdb0SoCALTH1daCHkJNJ8No5PuXsrXKEyHe1N4NjXzvBYETGGSe0ylRz6lxdlxUFr0cUb4DCAC0i/8Rs41nY8QyEOgfrmF38nYamZsY0auD0chXEwicwDAb/jZyxik1p5CORqaK8yh6CdA0BnZwJQcrU0rMKqRD15PxMusZDmb/s+uqOM8VwtHIVzMInMCgqFqvXIrLotzCkgY/zs7wBPFHg3f/tHay1uIIAUDF3MSYRqGmk95CI9+GQeAEBoU/EXk5WIqg53x0zb0J61v0EgCazpPdfcTXvy8nUmYeajrpCzTybTgETmCQfesaU5aAd+SduKXMkXq0EwIngKbU0dNObMAoKimjrajppDfQyLfhEDiBwS7XNbQQ5l8X40mhIFGJ3MfRSsujA4CKUNNJ/3A192//uSHOvz6kvWiTA5pD4AQGmyB+NiqdSkrLGrybDst0AM1jVFdlTaew6Ay6npiNl11PGvlyx4QxwV66Ho7BQeDUBA4dOkQ3biijedA+rjNia25CuUWlFJFQvz/C8Zn56l53KHoJ0DxcbM1pgL+rOL/hLBr/6lJCZgH9dOSWOD93WACZGCMMqC+8Ylq2ceNGeuaZZ2jdunXafmgox59cg1XLdfWs57TjQry6HpSHvSVeU4Bmrum06Wxsg2aKQTu+2neNCorLRMrD4A7KYBbqB4GTFt25c4c2bdpEU6dO1ebDQp0Nf+uXIL69PHBCbzqA5jUwwJVaWplSUjbXdFK2OoLmxa1v/jgVLc7PfyRA5J9B/ZmQjoWHh9OePXsoJyeHOnbsSCNHjiQTE+0PKz09ndauXSuCmwULFpCTk1O121y6dIm2bNlCRUVFNGTIEOrbt6/6uoSEBDp//ny1+5ibm9OAAQOopKSE5s+fT99++y0tW7ZM6+OHykJaO6oriHPLAE3+AESn5YkSBnzTR4Lc8ZICNCMzEyOR67T66G3acCaGBgRgtkMXjXy5gPuQQDd1rigY2IzTvHnz6NlnnxVBSUFBgbjcs2dPys7WbvLgxx9/LIKyvXv30meffSaCqKo2bNhAwcHBIjeJr3/44YdpyZIl6uuvXr1KX375ZbXTDz/8IK5///33yd/fn06ePEnXr18Xj3Pt2jWtPg+4i3fEmRi1EBWJY9LzNd5Nx3q1dSRXOwu8nAA6Wq7bczmRMvKK8PrrqpHvUDTyNdgZJ84F+uSTT9SXX331VXJ3d6ft27fTU089Ve32HNBERERQnz59Kh3nGYddu3bRI488UuP3GThwoHjssLAw2rZtW7XreYbpxRdfpLlz59IHH3wgjnEQNX36dJo4cSJ5e3tT//79xak2HOxduXKFjh07Rjdv3qSysjI6cuQItW+P3j9NwdLMmIK87MUMErdf0aSsAJbpAHSLf2c7eNjRlfgs2hYWR8/0aYO3RAeNfO9DI1/DnXEKCgqqdLmwsFC8wQ4ODjXefufOnWIJ7eDBg+pjfPuZM2eKICcjo+ZK0r169SJLy9oTgY8ePUrJyck0adIk9bFx48aJJcMdO3Zo9Fy++OILEbzxiR+HAy6eTYOmr+ekScPf2ym5dDE2UySWY5kOQPezTuvPYHddc0EjX4klh/MS2Jw5c+j5558XQdHixYtrnTmaMGGCWBILDQ0VsznspZdeoq1bt9L+/ftrDbg0GQPnyPj6+qqPWVhYkKenZ4OW2/z8/Khdu3a1Xr906VIKDAykHj16NGi8oKRao9ekgriqdtP9fk7kZGOOlxBAR0Z19RTL7BdiMulqPcuJQP1xe6pPdpY38u2LRr6SSA7n5GpenuPZHV4yO3PmDOXm5pK1dc2NV19//XUqLi4WwdWwYcPE7NOBAwcatSSWl5dHVlZWZGxcuXqqvb29GEt91bTMWNGsWbPEKSsrS3wPaJiQ8hmna0nZogeWvZVprbflZQEWihYrADrlbGMuEsM5z+nPszH01qMd8I40oU3nYulqYjbZWZjQi/1r/0APBjTj1KZNGzHjxInYHDTxstlXX31V5304iZyX+davXy9ypAICAho1BhsbGxEgcUBWES/92draNuqxoWmL6rV1thbtUzjxsa4tuFwokz/lDsNuOgCde7J8uW4jajo1fSPfv5WzTbMGtKvzwyUYUOBUES+1dejQgS5fvlzn7XjWiXet8TLd7NmzxU62xuBlM1ZxWY7LI8TGxorxgGH3rVMVvXzgPmdysDJrtrEBQM14xsnJ2oxScgrp32vJeJmayNpjURSXWUAe9hY0+X4k4ht84MTLcsePH690LCoqis6dO0fdunWrc7aJ6zFxTtM333wjgqihQ4eK2aqG6t27N/n4+NCKFSvUx1atWkVGRkY0fPjwBj8uNL3u5YUwVW1UarK9vCM7il4C6AdTY2VNJ8Y1naBpG/m+hka+0shx4mTst956S2zb5xkfXhbjHWyDBw8W+T814WBm5cqVImhS7chbtGiReAwOnngWqqYE8X379okdefHxypkHXhbk240dO1bUjeLcpp9++olGjRpFkZGRYumOE86//vprcnVFkTZDSBDn5qFFJWVkUuWjACefXk/KITNjI3q4o5tuBgkANe6u455pe68kUnpuEbW0xmywthv5cvDU3s2GHg9WLo2CgQdOpqamIgDiZTaeZeJk8LffflsUqqzN+PHjxexQ1eUz3onHFcdr21XHj80J6HyqOJtVsUQBB2xcuJIDLJ4NUxW0BP3m62xNjtZmlJZbROFxmdTV277G2aYH27uQnQXW9wH0RaCnHXX0tKNLcVm0NSwOS0lN1Mj3zaEBogwLSGhXHc/48EkTHOjUlnMUEhJS6/042OLTvXD5AfSZMyw8c8m763iHDjf8rRg4cY2vu0UvPXQ4SgCobdbpUtxlWn8mGoGTFqGRr4ySwwEa0/C3ap4Tf5K9lZJL5iZGNDgQy3QA+obznEyNW1B4bJaoJg6Nh0a+TQ+BE0im4S+3XuFZpqpFLwf4u5KNuc4nVwGgCl5mH1je7PdPJIlrxX93R6CRbxND4AQGL8jLTswqcZ4TzzDdXaYr303XBct0APrqyRAf8XXz+VgqLi3T9XAMGn943H0pEY18mxgCJzB45ibG1MVHuTHgdJRyue5CbCZFp+WTpamx+hMtAOif/v4u5GzDNZ2K6MBV1HRqKP6w+MnOCHUwika+TQeBE0isEKYycNpxIUF8HdjBlazMsEwHoM81nUarazpF63o4Bmt/RBKdvJ0mZt9fHXKfrocjaQicQBJ6VGj4W6ZQqPObRmA3HYDee7y8Bcu+K0mUmlOo6+EYZiPfXcrZpmf7tiUP+7uldkD7EDiBJAS3akktWhDdTs2jg5HpFJ9ZQNZmxvSQP5bpAPRdBw87katYUqYQNZ2g/o18ryXmkL2lKc3s74eXr4khcAJJ4OaV97nYiPMf/a0s/Da4gytZmBrreGQAUJ8k8fWn0YKloY18X3zID418mwECJ5CEXeHxFJORL86n5ZWIrwevp4jjAKD/RnbxFDWdLsdn0aW4TF0Px2CgkW/zQ+AEBo+Do5nrzlJeUWml4xl5xeI4gicA/ce96gZ3UBaq/fNMrK6HYxCy0MhXJxA4gcEnRS7edpnulr28S3WMr+fbAYD+t2BR1XTipt1QHf8tO34zlXZdSaGFWy+hka8OYJ82GLSTt9JEInhtOFzi6/l2ffycmnVsAFA//dtzTSdzSskppANXk+jhju54CSvg2XP+IFj1b96gADc08m1GmHECg5aUXaDV2wGA7pgYG9GYYGVNp/VowVJjSkJNHxSX/xuJlIRmhMAJDJqrrYVWbwcAuvV4sHK57p+IJDHzBHWnJKggJaH5IHACg9azrSN52FtQi1qu5+N8Pd8OAPSfv7stdfa2FzWdtpxHTaf6piRA00PgBAbN2KgFLRoRKM5XDZ5Ul/l6vh0AGIYny5PEN2C5TjQ+3heRqNHrhpSE5oHACQzesCAP+m5iMLnbV16O48t8nK8HAMMxoosnmRkb0ZX4LAqPlWdNp4iELPq/7Zepz8f7aOUhZVHfe0FKQvPArjqQBA6OhgS604mbKXQzPpV8PZyol68zZpoADJCDlRkNCXQTPSd51inIy57kID23iLacj6UNZ2MoPDZLfdzJ2pQKissot0qtOpUW5R8UkZLQPBA4gWTwclxvXydq79CCHB0dyQjLcwAGXdOJAycOJN56tAOZmUhzgaSktIz+vZYsAsS9VxKpuFSZAs5V1LnMAL8O/f1daN+VRLGrjlVMEkdKQvND4AQAAHqn333O5GprTknZhbQ/IomGBUmrptO1xGwRLG08G1tp92BHTzuR4zWyqxc5WptVS0moWseJZ5o4jxMpCc0HgRMAAOhlTafHgr1oxb83acOZaEkEThl5RbQtLE7UqLoQczd3y8najEZ38xKlGAI97Wq9P1IS9AMCJwAA0EtPBHuLwOmfq8mUnF1ILrbmZIhLcYeup4jZpT2XE6moVNlKxsSoBQ0McBVLcQMCXMnUWLOlSKQk6B4CJwAA0Ev3udlSFx8HCovOELlO0/r5kqG4kZQtZpY2nY0Vy40qAe629GR3Hxrd1ZOcbAwvEAQETgAAoMd4RoYDp/WnY2jqA22pRQv9rcmWmVdM2y4ol+J4zCqcqzSqq6d4Lh095bFDUMow4wQAAHprZGdP+mD7ZbqamC226Hfytte7diiHrit3xf3NS3ElZeoltQH+yqU4XpKT6q5AOULg1AQOHTpEHh4e1K5du6Z4eAAA2bC3MqWHA91o+wWu6RStN4HTjaQc+vMs74qLocSsu0tx/m68FOdNo7p6GWROFtwbAict27hxI73++us0ZcoUeu+997T98AAAssOzNhw4bQmLo7dCO5C5ibFOxpGZX0w7LsTT+jPRdO7O3aU4BytTGtXFU+QucTkBfV5OhMZD4KRFd+7coU2bNtHUqVOptLTmCq8AAFA//e5zITc7czGzs/9KEj3SyaNZl+KO3FDuitt9KYEKKyzFPdTeRbkU18FVZ8EcyDBw+vfff+no0aNkYmJCDzzwAPXp06dJvk96ejqtXbtWBDcLFiwgJyenare5dOkSbdmyhYqKimjIkCHUt29f9XUJCQl0/vz5avcxNzenAQMGUElJCc2fP5++/fZbWrZsWZM8BwAAOeIgZUywN313IFIkXjdH4HQzWbUUF1up4OR9rjZiKW50Vy9ytavcHxPkQWeBU1lZGfXu3Zusra1FsJSXl0dDhw4VS1xff/21Vr/Xxx9/TN988w11796dtm3bRjNmzKgWOG3YsIGefvppcbK1taWHH36YFi5cKIIhdvXqVfryyy+rPTa39uDA6f333yd/f386efIkXb9+Xcw4Xbt2jdq3b6/V5wIAIEePlwdO3J4kKauAnG3uVtXWluwC1VJcDJ2JSlcft7c0Ve+K6+Rlj6U4mdNZ4MRrwDwzw8GMCgdOjz76KD3//PMUFBRU46xRREREtVkphUJBu3btokceeaTG7zVw4EB69dVXKSwsTAROVfEM04svvkhz586lDz74QBwLDg6m6dOn08SJE8nb25v69+8vTrXJzs6mK1eu0LFjx+jmzZsiMDxy5AgCJwAALWjnakPdWjmI3KLNXNPpgbZaeV3LyhR0NDJVJJ7vupQgmukybnX5YHsXejLEhwZ1cCULUyzFgR4EThWDJtatWzfxNSYmpsbAaefOnSKo+uuvv+jBBx9UB00zZ86k7du3U3h4ODk4OFS7X69eveocCy8VJicn06RJk9THxo0bJx53x44d9MILL9zz+XzxxRfq8//3f/8nlu6effbZe94PAAA0wzM+HDhxvtHUvm0a9bLdTskVS3F/nomhuApLcX4u1iLJ+7FuXuSGpTjQxxynitasWUMWFhbVAiqVCRMmiFyj0NBQMcPEOUgvvfQSbd26lQ4cOFBj0KQJXobjQM7X925VWh6Hp6enWG6rLz8/vzqTw5cuXSpOSCAHANDc8M6e9P62y3QtMYcuxmaRt1X9Xr2cwhL6q3xX3Knbd5fibC1MaGQX5VJcVx8HLMWBYQROBw8eFDlF//3vf8nZ2bnW2/FW/+LiYrEsN2zYMHE/Dpoak0vE+VVWVlZkbFx5Ktbe3p5yc3Pr/XhPPfVUndfPmjVLnLKyssT3AACAe+Nco6Ed3WlrWJyYdXq1n4dGS3HHb/JSXAztDE+g/OJS9VIc79bjYGlIoBuW4sCwAqcTJ07QiBEj6I033qDZs2ff8/bz5s0Tu9/Wr19Pq1evpoCAgEZ9fxsbGxEgcUBmamqqPp6RkSESxQEAQD9woMOB06ZzsdSupQm191ZQL19nsfOuojupebShfCkuNiNffdzXxVo8xphu3uRuj11xYICBE+9C46Rw3un20UcfaXQfnnW6ceOGWKbjQKtDhw7Us2fPBo8hMDBQfOVluY4dO4rzOTk5FBsbKx4bAAD0Q05BiZgtyi0qpfd23eTCAeRhb0GLRgSKGaS/Lip3xZ28laa+j625CQ0vX4oLboWlODDgwOnUqVNi2z8HTUuWLNHoPjzbxPWY/vnnH5FAzst6HHjt3buXQkJCGjQOLovg4+NDK1asUJdCWLVqFRkZGdHw4cMb9JgAAKBdu8LjadavZ0lR5TjXWZqx7qzoB6fqFcfFux9o5yyCJV7ew644MPjAiZfGOODhApK8A23OnDnq68aOHVvjDBIHMytXrqT9+/erd90tWrRIbP3nx+JZqJoSxPft2yd25MXHx4vLHKTx7VTfh3ObfvrpJxo1ahRFRkaKpTtOOOcgytXVtUlfBwAA0KyC9+Jtl6sFTRVx0NTGyUq9K87TwRIvLUgncOLZnLfeeqvG6ywta/5hHz9+vJgdqrp8tnjxYho5cmStu+q4yKa7u7s4qUoeVP0+gwcPFoUrOcDiuk6qgpYAAKB7vPRWsYJ3bT4e04n6+NW+wQjAYAMnDloqzjJpep/aco7qWqbjYItP98LlB7jPHAAA6Jek7AINb1fY5GMBeTPS9QAAAADuxdXWQqu3A2goBE4AAKD3erZ1FLvnKhcduIuP8/V8O4CmhMAJAAD0Htdp4pIDrGrwpLrM11et5wSgbQicAADAIAwL8qDvJgZXK1zJl/k4Xw8g+QKYAAAAmuLgaEigO524mUI341PJ18OpxsrhAE0FgRMAABgUDpJ6+zpRe4cW5OjoSEYImqAZYakOAAAAQEMInAAAAAA0hMAJAAAAQEMInAAAAAAQOAEAAABoF2acAAAAADSEcgQ6pFAoxNesrCytPm5ZWRllZ2eTiYkJGRnJKzbGc8f7jp95ecDvOn7XjbT4/031f1j1f7kuCJx0iIMb5uPjo8thAAAAACn/L9vb29f5WrRQaBJeQZN9YoqLiyNbW1tq0aKFViNnDsaio6PJzs6O5ATPHe87fublAb/r+F230+L/Nw6FOGjy9PS850wWZpx0iN8cb2/vJnt8/qGS2z8RFTx3vO9yI9efebk+b4bnbqfV1/NeM00q8kqAAQAAAGgEBE4AAAAAGkLgJEHm5ua0aNEi8VVu8NzxvsuNXH/m5fq8GZ77Ip2+70gOBwAAANAQZpwAAAAANITACQAAAEBDCJwAAAAANIQ6ThJ0584dSkpKovbt28uuvsn169cpMTGR7r//flm13uBigJGRkeTl5UWurq4kJ/zcb9y4QW5ubuL5y01paSkdP35c/K536tSJpO7mzZuicHBFVlZWFBwcTHJRUFBAV65cIQ8PD3J3d9f1cJpcamqqeL416dy5c/P/n+PK4SANeXl5ilGjRimsrKwUAQEBCktLS8XSpUsVcrBlyxZFv379FC1btuRK+Irs7GyFHFy/fl3x2GOPKRwcHBTdunVT2NjYKB599FFFamqqQupiY2MV48ePVzg5OSmCg4MVdnZ2ir59+yqio6MVcrJw4UKFkZGReO5yMGvWLIWjo6N4vqrThAkTFHLx2WefKWxtbRUdO3ZU+Pn5KaZMmaIoKipSSNk///xT6f3mU6tWrcTf+qtXrzb7eBA4ScicOXPED1NCQoK4vH79ekWLFi0Up0+fVkjdRx99pDhw4IBi06ZNsgqcdu3apdi4caOirKxMXE5JSVEEBgYqnnrqKYXUHTt2TLF9+3b1c+f3nIPHxx9/XCEX/A+F/3k++eSTsgqc+AOiHC1fvlx8IOa/dSpr165VZGZmKuTm4YcfVvTp00cn31s+axkSx0HwqlWr6PnnnxdLFuyJJ56ggIAAcVzqFixYQP379ye5GTp0KD322GPqXodOTk40duxYOnz4MEld7969KTQ0VP3cbWxsqEePHhQbG0tykJKSQpMnT6aff/5ZdkvyhYWFdPbsWbE8zT0/5bIku3jxYpo5c2alv3UTJ06U3ft/584d2rt3L02fPl0n3x85ThLBDX15HTgkJKTScf5Hcu7cOZ2NC5rfqVOnqF27drJ56U+fPi2ac4aFhdHGjRtp9erVJAdTpkwRgVPfvn1l8eGoIv6nyQEy5zOamprS8uXLafjw4SRlly9fpvj4eBoxYgQlJyeL4KFt27bk6OhIcrNq1SrxQYk/JOoCZpwkIi0tTT3jUBFfVl0H0rdu3TrauXMnvf322yQXn3zyCc2dO5cWLlxIQ4YMoT59+pDUffHFF2LG6d133yW54fc4JiaGLly4IAKJSZMm0ZNPPknXrl0jKVMlxG/evFlsApg2bZrYDPHcc89RSUkJyW11ZcKECWRtba2TMSBwkgj+1KXabVFRfn4+mZmZ6WhU0Jw4YJo6dSp9+eWXNGjQINm8+OvXrxezbPzPlGchHn/8cZKy27dv01tvvUUzZswQu+l4WZZnXnh3IZ/n2TcpGzVqlDodgXfO/t///Z/YVbdlyxaSw994nlnlnYW8knD+/HnasGEDffXVVySn2caoqCidLdMxLNVJRKtWrUSuR9X8Dr7M14G07dq1i8aMGUNLliyhl19+meTI3t5e5Phxzgd/YLC0tCQpysvLE0vyK1euVB/jcgz8nOfPn0/ff/89BQYGklxw8OTs7Cz53LY2bdqIrzzDxoEi8/f3pwEDBtChQ4fojTfeIDn48ccfRekJXZafQOAkEba2ttSrVy/aunUrjR8/XhzjT5779++njz76SNfDgyb0999/iwTxDz/8kF577TXZvNa5ubnVpuo5gODfBSk3fuWgqGryPy/bREREyGJTAAeOqsCBcYI4z8AEBQWRlPn6+tJ9991X44fjbt26kRykpqaKpUqeVdclBE4Swv84eZcVJwz27NmTvv76a/L09BTLN3Ipiqcqknbs2DEx49CxY0dq2bIlSdWRI0do9OjRNHLkSPGeq/5x8uwjJw1LfScl76h66KGHRKIovxb//e9/xdKNnIqfygnvLOvevbv4m8aBEi/P8gdDLoLIM41Sxz/fvCGAd9HxjulNmzbRpUuXZLM5YN26dWRsbCzym3SpBdck0OkIQKt4ynbZsmWicniXLl3E1L0cKklzsuyff/5Z7fh//vMfUUVcqtasWSOWZqoyMTGhAwcOkNT/if7yyy/0119/UWZmpljK4GUMOSSH15Qgz3kf/LsvdQkJCfTNN9+IcgQODg7Ur18/ke+iygGSOl5F+OGHH8TsC89AvfLKK6JLhBzMnDmTXFxc6P3339fpOBA4AQAAAGgI89kAAAAAGkLgBAAAAKAhBE4AAAAAGkLgBAAAAKAhBE4AAAAAGkLgBAAAAKAhBE4AAAAAGkLgBAAG5fLly6LRp748jq6/BwA0LwROAKC3wsPDad++fZWObdy4kd55551GP7a2Hqc5xqrtcQFAw6FXHQDorQ0bNogZm0GDBqmPcf/BwsLCRj+2th6nOcaq7XEBQMMhcAKAJsFtME+fPk3R0dHUunVrCgkJqXT9hQsXKC0tjXr16kXnz5+nlJQUeuCBB9RNma9fvy5mS/j477//Lo5xHzp/f3+ytbWt9ji9e/cWj5OcnCwaHDs6OlJ+fr5o/svNgPm+Fe9X8XH4+v/973/VngP3P3v88cdFE+mTJ0+KY9xQmAMibqatoulY6/O68P35+fB5bmzLPbrqEh8fL27P348fk5tc1zYu/r7s6tWrojG2h4cHdevWjczMzDR+fwDkCoETAGhddnY2DR8+XPxjDg4OFoECN53esmULWVlZidv8+uuvYinLyMiIPD09xT/pO3fu0I4dO8Q/91u3blFERIRoZrp582ZxH29vb9G8ePv27TR48GD143CDZw5+2rVrJwIIfpyvv/5aNAPlYxykcBDFwY+zs7O4H39v1eNww2DV91A5deqUCBY4cOIGuqrrs7KyRDPtF154gT799FNxTNOxavq6cNd7CwsLcnNzEw2M+bF37dpVawPjFStW0Jw5c8T1/Fzi4uLE43AQWdO4OFCaMmWKWMLr2bOneH7FxcW0detW0ThWk/cHQLYUAABaNn/+fIWfn58iJSVFXE5ISFB4e3srFi9erL7NvHnzFPwn6LffflMfmzZtmiIoKEhRWloqLi9atEjRt2/fSo/9wQcfKHr16lXpcYyMjBTHjx8Xl/m+wcHBClNTU8XZs2fFseLiYoW/v7/iww8/rPVxKuL7WVpaKr7++usar4+MjFTY2Niov6emY9X0deHnc+TIEfWx8ePHKx599FFFbdzd3RVr1qxRX46JiVGcOHGi1nG9++67ip49eypyc3PVx2bMmKEYNGhQvd4fADlCcjgAaB0vC/GMjJOTk7jMMyfTpk1TLxep8OzH+PHj1Zfnzp0rlpZ4+ag+unbtKpaUGM+Q8CxKjx49xPITMzExEZevXbt2z8dKSkqiUaNG0YQJE+jll19WH+cZq8OHD4ucIZ65cnd3Vy/faft14Vmo+++/X335oYceErNUteFlOd7BV1JSIi57eXmJ16A2q1atos6dO9Nff/1F69evF8uUrq6uYiZN9RjafH8ApARLdQCgVZzDw0tjvr6+lY77+fmJJaGK2rRpU+myKm+Ib8d5RJqqmndjbm5e47GcnJw6H4eXq5544gny8fGhZcuWqY//888/NHbsWBEs8fPiQIWX0DjIaorXhfOzqo69oKCgzkDoxRdfpOXLl1O/fv3E8uIzzzwjgsiqeCmPx8FLeLx0WNFjjz0mAkRVXpa23h8AKUHgBABa1aJFC/GPn3NiKuLLqvwilfT09BovV71dc+EZJs5X4tyjionSb7zxBj3//PP04Ycfqo8FBQWJYKgpXpf66t+/P126dEkENLt376b58+eLy//5z3+q3dbY2Jisra3pySefpNmzZ9f5uPr2/gDoAyzVAYDW8e4rTiyuiJe4+HhFvORTcfmM7+Pg4ECBgYHqHWx1zbRoE88wrVmzRiRR8xJaRQkJCWKHnAoHJTxjU5EmY9X0dakPTorn8THeLccB3qRJk+j48eO1jmvYsGG0cuXKSstyLDY2tl7vD4AcYcYJALTuo48+EjlH48aNE/WDdu7cKXJjVq9eXel2dnZ2FBoaKmY+eOfXJ598Qh9//LH4Z894G/7bb79NX375pVgma6rdXDxT8+qrr4qlKt7Cz6eK5QhGjx4tClny0lZeXp4YD8/aVKTJWDV9XeqDl954ee7hhx8WO/X4deSg6L333qt1XJ999pm4D5/nJT2eDTt48KD4WrEsw73eHwA5QuAEAFoXEBAgav/wP3BOqOZlra+++opatWpV6XZcb+iDDz4Q2+956/8vv/xCY8aMqZQUvXbtWtq/fz+dOHFCJCtXLSrJidRVayVxAMFb6CviZOmKMy9VH0f1fSuWJeCSABw48dj5OXCJAg4m/vjjDzEmfp71Gasmr0tNz4dzizhhvSYc3IWFhdHPP/8sZpk4oONk8yFDhtQ6Lp7hunjxorgPj4efEyfDc4BYn/cHQI5a8NY6XQ8CAOSH83A4lwi93PQT3h+AmiHHCQAAAEBDWKoDAJ2oaUkK9AfeH4CaYakOAAAAQENYqgMAAADQEAInAAAAAA0hcAIAAADQEAInAAAAAA0hcAIAAADQEAInAAAAAA0hcAIAAADQEAInAAAAAA0hcAIAAAAgzfw/LwiuxGlsutYAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "teacher = copy.deepcopy(layer).eval()\n", "student = copy.deepcopy(layer).train()\n", "with torch.no_grad():\n", " teacher.weight.normal_(mean=0.0, std=0.15)\n", " teacher.bias.fill_(0.05)\n", " student.weight.zero_()\n", " student.bias.zero_()\n", "for parameter in teacher.parameters():\n", " parameter.requires_grad_(False)\n", "\n", "training_maps = torch.randn(4, 1, len(cell_ids), device=device)\n", "with torch.no_grad():\n", " targets = teacher(training_maps)\n", "optimizer = torch.optim.Adam(student.parameters(), lr=5e-2)\n", "losses = []\n", "for step in range(8):\n", " optimizer.zero_grad()\n", " prediction = student(training_maps)\n", " train_loss = torch.mean((prediction - targets).square())\n", " train_loss.backward()\n", " optimizer.step()\n", " losses.append(train_loss.item())\n", " print(f\"step {step:02d}: {losses[-1]:.6e}\")\n", "\n", "assert np.isfinite(losses).all()\n", "assert min(losses[1:]) < losses[0]\n", "plt.figure(figsize=(6, 4))\n", "plt.semilogy(losses, marker=\"o\")\n", "plt.xlabel(\"optimization step\")\n", "plt.ylabel(\"teacher/student MSE\")\n", "plt.grid(True, alpha=0.25)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "61bf478b", "metadata": {}, "source": [ "## NumPy interoperability" ] }, { "cell_type": "code", "execution_count": 8, "id": "091b004b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NumPy output: (4682,) float32\n" ] } ], "source": [ "numpy_input = np.ones(len(cell_ids), dtype=np.float32)\n", "numpy_output = layer(numpy_input)\n", "assert isinstance(numpy_output, np.ndarray)\n", "assert numpy_output.shape == numpy_input.shape\n", "print(\"NumPy output:\", numpy_output.shape, numpy_output.dtype)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.13" } }, "nbformat": 4, "nbformat_minor": 5 }