From 776a517d1852dcc70b2a56221f02f74e4f9cc59b Mon Sep 17 00:00:00 2001 From: rasbt Date: Mon, 1 Apr 2024 08:05:01 -0500 Subject: [PATCH] figure scaling --- .../01_main-chapter-code/appendix-D.ipynb | 149 ++++++------------ .../01_main-chapter-code/previous_chapters.py | 2 +- ch05/01_main-chapter-code/ch05.ipynb | 31 ++-- 3 files changed, 67 insertions(+), 115 deletions(-) diff --git a/appendix-D/01_main-chapter-code/appendix-D.ipynb b/appendix-D/01_main-chapter-code/appendix-D.ipynb index e3c8f3e..9b59a22 100644 --- a/appendix-D/01_main-chapter-code/appendix-D.ipynb +++ b/appendix-D/01_main-chapter-code/appendix-D.ipynb @@ -47,18 +47,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "torch version: 2.2.1\n", - "tiktoken version: 0.5.1\n" + "torch version: 2.2.2\n" ] } ], "source": [ "from importlib.metadata import version\n", "import torch\n", - "import tiktoken\n", "\n", "print(\"torch version:\", version(\"torch\"))\n", - "print(\"tiktoken version:\", version(\"tiktoken\"))\n", "\n", "\n", "from previous_chapters import GPTModel\n", @@ -169,24 +166,11 @@ "execution_count": 4, "id": "2bb4790b-b8b6-4e9e-adf4-704a04b31ddf", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "135\n" - ] - } - ], + "outputs": [], "source": [ "n_epochs = 15\n", - "peak_lr = 0.01\n", "initial_lr = 0.0001\n", - "\n", - "optimizer = torch.optim.AdamW(model.parameters(), lr=peak_lr, weight_decay=0.1)\n", - "total_training_steps = len(train_loader) * n_epochs\n", - "\n", - "print(total_training_steps)" + "peak_lr = 0.01" ] }, { @@ -211,6 +195,8 @@ "global_step = -1\n", "track_lrs = []\n", "\n", + "optimizer = torch.optim.AdamW(model.parameters(), weight_decay=0.1)\n", + "\n", "for epoch in range(n_epochs):\n", " for input_batch, target_batch in train_loader:\n", " optimizer.zero_grad()\n", @@ -238,17 +224,7 @@ "outputs": [ { "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -263,8 +239,10 @@ "plt.figure(figsize=(5, 3))\n", "plt.ylabel(\"Learning rate\")\n", "plt.xlabel(\"Step\")\n", + "total_training_steps = len(train_loader) * n_epochs\n", "plt.plot(range(total_training_steps), track_lrs)\n", - "#plt.tight_layout(); plt.savefig(\"1.pdf\")" + "#plt.tight_layout(); plt.savefig(\"1.pdf\")\n", + "plt.show()" ] }, { @@ -332,17 +310,7 @@ "outputs": [ { "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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", 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" ] @@ -356,7 +324,8 @@ "plt.ylabel(\"Learning rate\")\n", "plt.xlabel(\"Step\")\n", "plt.plot(range(total_training_steps), track_lrs)\n", - "#plt.tight_layout(); plt.savefig(\"2.pdf\")" + "#plt.tight_layout(); plt.savefig(\"2.pdf\")\n", + "plt.show()" ] }, { @@ -611,46 +580,46 @@ "output_type": "stream", "text": [ "Ep 1 (Iter 000000): Train loss 10.914, Val loss 10.940\n", - "Ep 1 (Iter 000005): Train loss 8.903, Val loss 9.313\n", + "Ep 1 (Iter 000005): Train loss 8.415, Val loss 8.846\n", "Every effort moves you,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n", - "Ep 2 (Iter 000010): Train loss 7.362, Val loss 7.789\n", - "Ep 2 (Iter 000015): Train loss 6.273, Val loss 6.814\n", + "Ep 2 (Iter 000010): Train loss 6.291, Val loss 6.838\n", + "Ep 2 (Iter 000015): Train loss 6.057, Val loss 6.834\n", "Every effort moves you,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n", - "Ep 3 (Iter 000020): Train loss 5.958, Val loss 6.609\n", - "Ep 3 (Iter 000025): Train loss 5.675, Val loss 6.592\n", + "Ep 3 (Iter 000020): Train loss 6.630, Val loss 7.308\n", + "Ep 3 (Iter 000025): Train loss 5.847, Val loss 6.838\n", + "Every effort moves you, I, I, I, I, I, I, I, I, I had, I, I, I, I, I, I, I had, I, I, I, I, I had, I had, I\n", + "Ep 4 (Iter 000030): Train loss 8.879, Val loss 9.904\n", + "Ep 4 (Iter 000035): Train loss 5.453, Val loss 6.866\n", "Every effort moves you. \n", - "Ep 4 (Iter 000030): Train loss 5.607, Val loss 6.565\n", - "Ep 4 (Iter 000035): Train loss 5.063, Val loss 6.483\n", - "Every effort moves you, and, and the to the to the to the to the to the, and, and the, and the, and, and, and the, and the, and, and the, and, and, and the, and, and the\n", - "Ep 5 (Iter 000040): Train loss 4.384, Val loss 6.379\n", - "Every effort moves you, I was, and I had been. \"I, I had the picture, as a little's his pictures, I had been, I was his\n", - "Ep 6 (Iter 000045): Train loss 4.638, Val loss 6.306\n", - "Ep 6 (Iter 000050): Train loss 3.690, Val loss 6.196\n", - "Every effort moves you know the to me a little of his pictures--I had been. \"I was the's--and, I felt to see a little of his pictures--I had been. \"I of Jack's \"strong. \"I\n", - "Ep 7 (Iter 000055): Train loss 3.157, Val loss 6.148\n", - "Ep 7 (Iter 000060): Train loss 2.498, Val loss 6.157\n", - "Every effort moves you know it was not that, and he was to the fact of the of a and he was--his, the fact of the donkey, in the of the his head to have. \"I had been his pictures--and by his\n", - "Ep 8 (Iter 000065): Train loss 2.182, Val loss 6.178\n", - "Ep 8 (Iter 000070): Train loss 1.998, Val loss 6.193\n", - "Every effort moves you know,\" was not that my dear, his pictures--so handsome, in a so that he was a year after Jack's resolve had been his painting. \"Oh, I had the donkey. \"There were, with his\n", - "Ep 9 (Iter 000075): Train loss 1.824, Val loss 6.211\n", - "Ep 9 (Iter 000080): Train loss 1.742, Val loss 6.201\n", - "Every effort moves you know,\" was not that my hostess was \"interesting\": on that point I could have given Miss Croft the fact, and. \"Oh, as I turned, and down the room, in his\n", - "Ep 10 (Iter 000085): Train loss 1.285, Val loss 6.234\n", - "Every effort moves you?\" \"Yes--quite insensible to the fact with a little: \"Yes--and by me to me to have to see a smile behind his close grayish beard--as if he had the donkey. \"There were days when I\n", - "Ep 11 (Iter 000090): Train loss 1.256, Val loss 6.236\n", - "Ep 11 (Iter 000095): Train loss 0.803, Val loss 6.255\n", + "Ep 5 (Iter 000040): Train loss 5.454, Val loss 6.880\n", + "Every effort moves you. \"I the the the the the the the the the the a-- the, and I had been, and I had been, and I had been his the picture, and I had been, and, and I had been, and I\n", + "Ep 6 (Iter 000045): Train loss 5.279, Val loss 6.642\n", + "Ep 6 (Iter 000050): Train loss 4.472, Val loss 6.542\n", + "Every effort moves you, and, and in the picture--I to me--as of the picture. Gisburn, and, and, and to see of the picture--as of the picture--as, and, and, and, and, and, and\n", + "Ep 7 (Iter 000055): Train loss 3.858, Val loss 6.370\n", + "Ep 7 (Iter 000060): Train loss 2.623, Val loss 6.249\n", + "Every effort moves you know the fact that a little of the picture to the fact of the last of the house of the fact of the fact of the fact of Jack's it. \"Oh, I had the donkey. \"Oh, I was\n", + "Ep 8 (Iter 000065): Train loss 1.856, Val loss 6.311\n", + "Ep 8 (Iter 000070): Train loss 2.269, Val loss 6.284\n", + "Every effort moves you know,\" was not that my dear, the picture, and Mrs. \n", + "Ep 9 (Iter 000075): Train loss 1.585, Val loss 6.299\n", + "Ep 9 (Iter 000080): Train loss 1.382, Val loss 6.319\n", + "Every effort moves you?\" \"Yes--quite insensible to the irony. Gisburn. Gisburn's past! \"Oh, and the moment--as Jack himself, and; and as I had been the man of the hour. \n", + "Ep 10 (Iter 000085): Train loss 1.089, Val loss 6.391\n", + "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the honour being _mine_--because he had always his\n", + "Ep 11 (Iter 000090): Train loss 0.874, Val loss 6.409\n", + "Ep 11 (Iter 000095): Train loss 0.432, Val loss 6.413\n", "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n", - "Ep 12 (Iter 000100): Train loss 0.731, Val loss 6.284\n", - "Ep 12 (Iter 000105): Train loss 0.889, Val loss 6.299\n", + "Ep 12 (Iter 000100): Train loss 0.389, Val loss 6.485\n", + "Ep 12 (Iter 000105): Train loss 0.405, Val loss 6.521\n", "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n", - "Ep 13 (Iter 000110): Train loss 0.703, Val loss 6.316\n", - "Ep 13 (Iter 000115): Train loss 0.517, Val loss 6.315\n", + "Ep 13 (Iter 000110): Train loss 0.293, Val loss 6.543\n", + "Ep 13 (Iter 000115): Train loss 0.204, Val loss 6.558\n", "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n", - "Ep 14 (Iter 000120): Train loss 0.594, Val loss 6.324\n", - "Ep 14 (Iter 000125): Train loss 0.481, Val loss 6.325\n", + "Ep 14 (Iter 000120): Train loss 0.239, Val loss 6.576\n", + "Ep 14 (Iter 000125): Train loss 0.183, Val loss 6.580\n", "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n", - "Ep 15 (Iter 000130): Train loss 0.529, Val loss 6.324\n", + "Ep 15 (Iter 000130): Train loss 0.165, Val loss 6.580\n", "Every effort moves you?\" \"Yes--quite insensible to the irony. She wanted him vindicated--and by me!\" He laughed again, and threw back his head to look up at the sketch of the donkey. \"There were days when I\n" ] } @@ -661,7 +630,7 @@ "model.to(device)\n", "\n", "peak_lr = 5e-4\n", - "optimizer = torch.optim.AdamW(model.parameters(), lr=peak_lr, weight_decay=0.1)\n", + "optimizer = torch.optim.AdamW(model.parameters(), weight_decay=0.1)\n", "\n", "n_epochs = 15\n", "train_losses, val_losses, tokens_seen, lrs = train_model(\n", @@ -699,7 +668,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -732,28 +701,11 @@ "scrolled": true }, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/jg/tpqyh1fd5js5wsr1d138k3n40000gn/T/ipykernel_41293/1615996262.py:6: UserWarning: The figure layout has changed to tight\n", - " plt.tight_layout(); plt.savefig(\"3.pdf\")\n" - ] - }, { "data": { + "image/png": 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Wr15tmWc2m1m9ejXt2rWzYmTXFxYWRkBAQLGYU1JS2LJliyXmdu3acfXqVXbs2GFZ548//sBsNtO2bVvLOuvXryc3N9eyTkxMDA0aNMDHx8eyTtHjFKxzM++NUorhw4ezaNEi/vjjD8LCwootb9myJY6OjsWOGxcXx6lTp4qd3759+4p9ccTExODp6Wn5Qvqn2G/VZ282m8nOzrb78+rUqRP79u1j9+7dlqlVq1b069fP8tyez6+otLQ0jh07RmBgoN1/btHR0dc0cTx8+DChoaGA/X+fAMyZMwc/Pz+6d+9umWeXn1uZqpndRhYsWKCcnZ3V3Llz1YEDB9TgwYOVt7d3sRp/t1pqaqratWuX2rVrlwLU1KlT1a5du9TJkyeVUlqTCW9vb/XLL7+ovXv3qp49e5bYZKJ58+Zqy5YtasOGDSo8PLxYk4mrV68qf39/1b9/f7V//361YMEC5erqek2TCQcHBzVlyhR18OBB9dZbb910E6whQ4YoLy8vtXbt2mLNJzIyMizrPP/88yokJET98ccfavv27apdu3aqXbt2luUFTSfuv/9+tXv3brVixQpVo0aNEptOjBo1Sh08eFB99tlnJTadqMjP/vXXX1fr1q1T8fHxau/ever1119XOp1O/f7773Z9XtdTtHa3PZ/fK6+8otauXavi4+NVbGys6ty5s6pevbpKSkqy6/NSSmsu5+DgoN577z115MgR9d133ylXV1f17bffWtax5+8Tk8mkQkJC1OjRo69ZZm+fmyTpG5gxY4YKCQlRTk5Oqk2bNmrz5s1WjWfNmjUKuGYaMGCAUkprNjF27Fjl7++vnJ2dVadOnVRcXFyxfVy6dEk98cQTyt3dXXl6eqqnn35apaamFltnz549qkOHDsrZ2VnVrFlTffDBB9fE8v3336v69esrJycnFRkZqZYuXXpT51bSeQFqzpw5lnUyMzPV0KFDlY+Pj3J1dVW9e/dWCQkJxfZz4sQJ1a1bN2U0GlX16tXVK6+8onJzc4uts2bNGtWsWTPl5OSk6tSpU+wYBSrysx80aJAKDQ1VTk5OqkaNGqpTp06WBG3P53U9f0/S9np+jz32mAoMDFROTk6qZs2a6rHHHivWjthez6vAr7/+qho3bqycnZ1VRESEmj17drHl9vx9snLlSgVcE69S9ve56ZRSqmxlbyGEEELcCnJPWgghhLBRkqSFEEIIGyVJWgghhLBRkqSFEEIIGyVJWgghhLBRkqSFEEIIGyVJ+gays7MZP3482dnZ1g6lUlTl85Nzs09ybvZJzq3ySDvpG0hJScHLy4vk5GQ8PT2tHU6Fq8rnJ+dmn+Tc7JOcW+WRkrQQQghhoyRJCyGEEDaqyo8nnZeXx65du/D390evL9tvktTUVADOnj1LSkpKZYRnVVX5/OTc7JOcm326Hc7t9OnTZGRk0Lx5cxwcbl3qrPL3pLdt20abNm2sHYYQQogqYOvWrbRu3fqWHa/Kl6T9/f0B7Y0NDAy0cjRCCCHsUUJCAm3atLHklFulyifpgkvcgYGBBAcHWzkaIYQQ9qyst01v+ni39GhCCCGEKDVJ0kIIIYSNkiQthBBC2Kgqf09aCFG1mc1mcnJyrB2GqAKcnJxu+T3nfyJJugzSsvNwd5a3TAhbkZOTQ3x8PGaz2dqhiCpAr9cTFhaGk5OTtUOxkIxTCnkmMy9+txnjkd947cnu+DWMtnZIQtz2lFIkJCRgMBioVauWzZWAhH0xm82cO3eOhIQEQkJC0Ol01g4JkCRdKg4GPV3O/4+HDD8Sv2o/NFxi7ZCEuO3l5eWRkZFBUFAQrq6u1g5HVAE1atTg3Llz5OXl4ejoaO1wAKk4VmqGlv0BCL20HnU53srRCCFMJhOATV2aFPat4G+p4G/LFkiSLqUO7aJZb26KHsXlNZ9ZOxwhRD5buSwp7J8t/i1Jki4lL6Mj+2o+BoDbgfmQnWbliIQQQlR1kqTLoF50b06Y/XExpWHes9Da4QghBAC1a9dm2rRppV5/7dq16HQ6rl69WmkxAcydOxdvb+9KPUZVJ0m6DO6O8GehvhsAWbGfQ9UeQEwIUcF0Ot0Np/Hjx5drv9u2bWPw4MGlXr99+/YkJCTg5eVVruOJW0dqd5eBs4OBrMaPk75vPm7JR+H4Wqh7j7XDEkLYiYSEBMvzhQsXMm7cOOLi4izz3N3dLc+VUphMplKNXVyjRo0yxeHk5ERAQECZthHWISXpMnqgVQN+NN0JgGnzF1aORghhTwICAiyTl5cXOp3O8vrQoUN4eHiwfPlyWrZsibOzMxs2bODYsWP07NkTf39/3N3dad26NatWrSq2379f7tbpdPz3v/+ld+/euLq6Eh4ezpIlhU1H/365u+Cy9MqVK2nYsCHu7u507dq12I+KvLw8RowYgbe3N76+vowePZoBAwbQq1evMr0HM2fOpG7dujg5OdGgQQO++eYbyzKlFOPHjyckJARnZ2eCgoIYMWKEZfnnn39OeHg4Li4u+Pv706dPnzId2x5Jki6jliE+rHR7CAD9kRUgzbGEsAlKKTJy8qwyqQq89fX666/zwQcfcPDgQZo0aUJaWhoPPPAAq1evZteuXXTt2pUePXpw6tSpG+5nwoQJ9O3bl7179/LAAw/Qr18/Ll++fN31MzIymDJlCt988w3r16/n1KlTvPrqq5blkyZN4rvvvmPOnDnExsaSkpLC4sWLy3RuixYt4sUXX+SVV15h//79PPfcczz99NOsWbMGgJ9++omPP/6YL774giNHjrB48WKioqIA2L59OyNGjODtt98mLi6OFStWcOedd5bp+PZILneXkV6vo3mLNqzfEMWdhn2w7b/Q5T1rhyXEbS8z10SjcSutcuwDb3fB1alivk7ffvtt7rvvPsvratWq0bRpU8vrd955h0WLFrFkyRKGDx9+3f0MHDiQJ554AoD333+f6dOns3XrVrp27Vri+rm5ucyaNYu6desCMHz4cN5++23L8hkzZjBmzBh69+4NwKeffsqyZcvKdG5Tpkxh4MCBDB06FICXX36ZzZs3M2XKFO655x5OnTpFQEAAnTt3xtHRkZCQENq0aQPAqVOncHNz48EHH8TDw4PQ0FCaN29epuPbI6uWpNevX0+PHj0ICgpCp9Nd86tMKcW4ceMIDAzEaDTSuXNnjhw5Yp1gi+jVrCZzTNofunnn19IcSwhRYVq1alXsdVpaGq+++ioNGzbE29sbd3d3Dh48+I8l6SZNmlieu7m54enpSVJS0nXXd3V1tSRogMDAQMv6ycnJnD9/3pIwAQwGAy1btizTuR08eJDo6OLdKkdHR3Pw4EEAHn30UTIzM6lTpw7PPvssixYtIi8vD4D77ruP0NBQ6tSpQ//+/fnuu+/IyMgo0/HtkVVL0unp6TRt2pRBgwbx8MMPX7N88uTJTJ8+nf/7v/8jLCyMsWPH0qVLFw4cOICLi4sVItaE+3twMaAjJy5+Tc28VPSJeyG0vdXiEUKA0dHAgbe7WO3YFcXNza3Y61dffZWYmBimTJlCvXr1MBqN9OnT5x9H/vp7t5Y6ne6GA5GUtH5FXsYvjVq1ahEXF8eqVauIiYlh6NChfPjhh6xbtw4PDw927tzJ2rVr+f333xk3bhzjx49n27ZtVbqZl1VL0t26dePdd9+1XD4pSinFtGnTePPNN+nZsydNmjTh66+/5ty5c2W+D1IZejavxdDcFxno87UkaCFsgE6nw9XJwSpTZfZUFRsby8CBA+nduzdRUVEEBARw4sSJSjteSby8vPD392fbtm2WeSaTiZ07d5ZpPw0bNiQ2NrbYvNjYWBo1amR5bTQa6dGjB9OnT2ft2rVs2rSJffv2AeDg4EDnzp2ZPHkye/fu5cSJE/zxxx83cWa2z2bvScfHx5OYmEjnzp0t87y8vGjbti2bNm3i8ccft2J08FDTIN5fVhvzmRxOXkon1NftnzcSQogyCg8P5+eff6ZHjx7odDrGjh1rlaE5X3jhBSZOnEi9evWIiIhgxowZXLlypUw/UEaNGkXfvn1p3rw5nTt35tdff+Xnn3+21FafO3cuJpOJtm3b4urqyrfffovRaCQ0NJTffvuN48ePc+edd+Lj48OyZcswm800aNCgsk7ZJths7e7ExEQA/P39i8339/e3LCtJdnY2KSkplik1NbVS4vPzdCG6XnUAFu88CxcOV8pxhBC3t6lTp+Lj40P79u3p0aMHXbp0oUWLFrc8jtGjR/PEE0/w1FNP0a5dO9zd3enSpUuZbj326tWLTz75hClTphAZGckXX3zBnDlzuPvuuwHw9vbmyy+/JDo6miZNmrBq1Sp+/fVXfH198fb25ueff+bee++lYcOGzJo1i/nz5xMZGVlJZ2wbdOpW33S4Dp1Ox6JFiyxt7jZu3Eh0dDTnzp0jMDDQsl7fvn3R6XQsXFhyt5zjx49nwoQJ18w/ffo0wcHBFRrzzzvPMOb7bSxxfYf65uPoXtwNPrUr9BhVVnYqzO0O/o2h1+fWjkbYoaysLOLj4wkLC7NqHZXbldlspmHDhvTt25d33nnH2uFUiBv9TZ05c4ZatWpVSi65EZstSRf0hnP+/Pli88+fP3/DnnLGjBlDcnKyZTpw4EClxdglMgC9o5Hzua4ogxOcLdv9mdvagSWQsAd2fwep5/95fSGEVZ08eZIvv/ySw4cPs2/fPoYMGUJ8fDxPPvmktUOr0mw2SYeFhREQEMDq1ast81JSUtiyZQvt2rW77nbOzs54enpaJg8Pj0qL0c3Zgfsa+TMubyBTIhdB42trqIvrOL5We2zUCzz8b7SmEMIG6PV65s6dS+vWrYmOjmbfvn2sWrWKhg0bWju0Ks2qFcfS0tI4evSo5XV8fDy7d++mWrVqhISEMHLkSN59913Cw8MtTbCCgoLK3A1dZerdvCZL9pxj4V8ZvNTTjKPBZn/32A6zCY7md2vY9jnrxiKEKJVatWpdUzNbVD6rJunt27dzzz2FA1S8/PLLAAwYMIC5c+fy2muvkZ6ezuDBg7l69SodOnRgxYoVNnX/qUN4dXzdnLiUnsOGoxe5xysJ/CPBBgcPtxlntkPmZXDxguA2/7y+EELcpqxa7Lv77rtRSl0zzZ07F9Aqk7399tskJiaSlZXFqlWrqF+/vjVDvoajQU+PpkGAImDJkzArGuLXWTss23Ykv+vGup3g4BKY/yQcl/dMCCH+Tq7NVoBezWsCOnam+mgztsy2ajw278jv2mP9Ltq96bilcGipVUMSQghbZLOdmdiTpsFehFV346tL99HP+XeIWwZXTkhzrJKknIPEfYAO6nUG7xDwCoaIB60dmRBC2BwpSVcAnU5Hr2Y1OaZqstelJaBg65fWDss2FZSig1uBW3WtS9W7XgP/RjfeTgghbkOSpCtIr+ZBAExPza8It+sbyEm3YkQ26nB+kg63zkAIQghhTyRJV5BQXzdahHiz2tSMFGMtyEqGvSX3inbbyssubB9d//7C+TnpsP9nWP+hVcISwt7cfffdjBw50vK6du3aTJs27YbblDQccHlU1H5uZPz48TRr1qxSj2EvJElXoF7Na6LQ870uv5S4ZTbYRq+rtuFkLOSmg0cgBBSOdUv6BfjxaVgzETKvWC8+ISpZjx496Nq1a4nL/vzzT3Q6HXv37i3zfrdt28bgwYNvNrxirpcoExIS6NatW4UeS1yfJOkK1D0qEAe9jumX22J2cIULByF+vbXDsh3OXhDZGxo/UrwduU9tqBEBygRHV193cyHs3TPPPENMTAxnzpy5ZtmcOXNo1aoVTZo0KWHLG6tRowaurq4VEeI/CggIwNnZ+ZYcS0iSrlC+7s7cVb8GKbixx/cBbeZWaY5lEdwSHp0LXd67dln9/KsPBRXLhKiCHnzwQWrUqGHpC6JAWloaP/zwA8888wyXLl3iiSeeoGbNmri6uhIVFcX8+fNvuN+/X+4+cuQId955Jy4uLjRq1IiYmJhrthk9ejT169fH1dWVOnXqMHbsWHJzcwFtyMgJEyawZ88edDodOp2uWP8VRS9379u3j3vvvRej0Yivry+DBw8mLS3NsnzgwIH06tWLKVOmEBgYiK+vL8OGDbMcqzTMZjNvv/02wcHBODs706xZM1asWGFZnpOTw/DhwwkMDMTFxYXQ0FAmTpwIgFKK8ePHExISgrOzM0FBQYwYMaLUx7Y2SdIVTGszDVOu3qnNKGiOJW4svEiSNpusG4uwbznpZZ9MeYXbm/K0ebmZpdtvGTg4OPDUU08xd+5cig5A+MMPP2AymXjiiSfIysqiZcuWLF26lP379zN48GD69+/P1q1bS3UMs9nMww8/jJOTE1u2bGHWrFmMHj36mvU8PDyYO3cuBw4c4JNPPuHLL7/k448/BuCxxx7jlVdeITIykoSEBBISEnjssceu2Ud6ejpdunTBx8eHbdu28cMPP7Bq1SqGDx9ebL01a9Zw7Ngx1qxZw//93/8xd+7ca36o3Mgnn3zCRx99xJQpU9i7dy9dunThoYce4siRIwBMnz6dJUuW8P333xMXF8d3331H7dq1Afjpp5/4+OOP+eKLLzhy5AiLFy8mKiqq1Me2NmknXcE6N/TH3dmB2OTqJNfpgNe5DbDtv3D/u9YOzbrO7QJHV6hev+QuU2u11boJzbwCZ7ZByB23PkZRNbwfVPZtHp2r3YoBOPQr/DAQQjvA00U62ZkWBRmXrt12fHKZDjVo0CA+/PBD1q1bZxlHec6cOTzyyCN4eXnh5eXFq6++aln/hRdeYOXKlXz//fe0afPP3eiuWrWKQ4cOsXLlSoKCtPfi/fffv+Y+8ptvvml5Xrt2bV599VUWLFjAa6+9htFoxN3dHQcHhxuOOjhv3jyysrL4+uuvcXNzA+DTTz+lR48eTJo0CX9/bfAcHx8fPv30UwwGAxEREXTv3p3Vq1fz7LPPluo9mzJlCqNHj+bxxx8HYNKkSaxZs4Zp06bx2WefcerUKcLDw+nQoQM6nY7Q0FDLtqdOnSIgIIDOnTvj6OhISEhIqd5HWyEl6QpmdDLQtbH2R73YuYc2c+c3Ws3m21nMW/BZG9gxB4CsXBPPf7ODqTGHteUGB6h3n/b88EorBSlE5YuIiKB9+/Z89dVXABw9epQ///yTZ555BgCTycQ777xDVFQU1apVw93dnZUrV3Lq1KlS7f/gwYPUqlXLkqCBEkcOXLhwIdHR0QQEBODu7s6bb75Z6mMUPVbTpk0tCRogOjoas9lMXFycZV5kZCQGg8HyOjAwkKSkpFIdIyUlhXPnzhEdHV1sfnR0NAcPHgS0S+q7d++mQYMGjBgxgt9/L7xt9uijj5KZmUmdOnV49tlnWbRoEXl5edgLKUlXgt7Na/LjjjN8HF+bf7V/EUPTx8DhNq5ooZRWijY4Q9hdAKyNu8CKvxKJOXieZzuG4eHiqN2X3v+jlqQ7v2XloIXd+s+5sm9jKPL/M6KHtg/d38owI/fdXFxFPPPMM7zwwgt89tlnzJkzh7p163LXXdr/jQ8//JBPPvmEadOmERUVhZubGyNHjiQnJ6fCjr9p0yb69evHhAkT6NKlC15eXixYsICPPvqowo5RlKOjY7HXOp0Os9lcYftv0aIF8fHxLF++nFWrVtG3b186d+7Mjz/+SK1atYiLi2PVqlXExMQwdOhQy5WMv8dli6QkXQnuqOOLv6czV7NMrK45VBsV63am08GTC2D0CfCtC8CaQ9qvaJNZseX4ZW29ep21L8akv+DqaSsFK+yek1vZJ0OR8orBQZvnaCzdfsuhb9++6PV65s2bx9dff82gQYPQ5d8Gio2NpWfPnvzrX/+iadOm1KlTh8OHD5d63w0bNuT06dMkJCRY5m3evLnYOhs3biQ0NJQ33niDVq1aER4ezsmTJ4ufrpMTJtON64c0bNiQPXv2kJ5eeG8+NjYWvV5PgwYNSh3zjXh6ehIUFHTNMJmxsbE0atSo2HqPPfYYX375JQsXLuSnn37i8mXtu8VoNNKjRw+mT5/O2rVr2bRpE/v2VdyPrsokSboSGPQ6HmqqXWpavPts4YIK/OVol5y0JiJms+KPuMJLXbHHLmpPXKsVDl15RC55i6rL3d2dxx57jDFjxpCQkMDAgQMty8LDw4mJiWHjxo0cPHiQ5557jvPnz5d63507d6Z+/foMGDCAPXv28Oeff/LGG28UWyc8PJxTp06xYMECjh07xvTp01m0aFGxdWrXrk18fDy7d+/m4sWLZGdfe8uuX79+uLi4MGDAAPbv38+aNWt44YUX6N+/v+V+dEUYNWoUkyZNYuHChcTFxfH666+ze/duXnzxRQCmTp3K/PnzOXToEIcPH+aHH34gICAAb29v5s6dy//+9z/279/P8ePH+fbbbzEajcXuW9sySdKVpKCW96qDSaQkHoefn4Pv+lg5KitQShtUo4j955K5kFr4H37j0SKVcQqaYh2WpliianvmmWe4cuUKXbp0KXb/+M0336RFixZ06dKFu+++m4CAAHr16lXq/er1ehYtWkRmZiZt2rTh3//+N++9V7zZ40MPPcRLL73E8OHDadasGRs3bmTs2LHF1nnkkUfo2rUr99xzDzVq1CixGZirqysrV67k8uXLtG7dmj59+tCpUyc+/fTTsr0Z/2DEiBG8/PLLvPLKK0RFRbFixQqWLFlCeHg4oNVUnzx5Mq1ataJ169acOHGCZcuWodfr8fb25ssvvyQ6OpomTZqwatUqfv31V3x9fSs0xsqiU6pqd4l15swZatWqxenTpwkODr5lx1VK0WXaeg6fT2P6AzV4aE1XrbOOYdughm2NiV2pzu2G2XdBSDt4ejnodExbdZhpq47QJqwaW+O1y1Hb3uhMDQ9nOH8AZrYDBxd4Ld5S+hbi77KysoiPjycsLAwXFxdrhyOqgBv9TVkrl0hJupLodDpLaXreIRN0/QCe/eP2StBQ2DmJq6+l6dUf+fej+7QMplGgJwAbCy55+zUEr1qQlwUn/rzl4QohhC2RJF2JejbTkvTm45c526A/1Gxp5YisoKA5VbjWvCopJYu9Z7R2pXc3qEF0Pe2Sk+WSt04Hd74KD824Pd8vIYQoQpJ0JarpbaRtWDUAftxepK/evIprSmHT0i/C2R3a83Bt1Ku1cRcAaBrshZ+HC+3rVQeKVB4DaDkQWjyljTcthBC3MUnSlezJtiEAzNt6ktyMZPh1JHzSBLLTbrxhVXAkBlAQEAWeWsWY1Ye0Wqr3Rmg1P9vUroaDXseZK5mcupRhrUiFEMIm2XSSNplMjB07lrCwMIxGI3Xr1uWdd97Bnuq6dWscSHV3Z86nZPP7kTSIXwepCbB7nrVDq3wFzajy++XOzjPx5xGtxHxvhB8Abs4ONA/xBv5Wmr56GjbPhP0/3bJwhRDC1th0kp40aRIzZ87k008/5eDBg0yaNInJkyczY8YMa4dWak4Oektp+v82n4I7hmoLNn9WtQeSMOXB0T+05/nNqrYcv0xGjgk/D2cigzwtq7avm3/J+2iRJH00Bla8Dlu+uGUhC/tkTz/ahW2zxb8lm+4WdOPGjfTs2ZPu3bsDWuP6+fPnl3o0GFvRr20In685ytb4yxzq1oMIl3e1kbHilkHDHtYOr3Kc3gLZyWCsZqkAVlCr+94IP/T6wkE2outV55PVR9h07BJms9KWhXeB2h2hwQNaW+uSBuUQtzVHR0d0Oh0XLlygRo0alh67hCgPpRQXLlxAp9PZVHehNp2k27dvz+zZszl8+DD169dnz549bNiwgalTp1o7tDLx93ShS+MAlu5N4P+2JzGx9TPw50ew6bOqm6QLLnXX6wx6A0opy/3oe/IvdRdoVssbo6OBS+k5xJ1PpWGgJ3jVhIG/3eqohR0xGAwEBwdz5swZTpw4Ye1wRBWg0+kIDg4uNhiItdl0kn799ddJSUkhIiICg8GAyWTivffeo1+/ftfdJjs7u1j3dampqbci1H80oF1tlu5NYNGus4wZPhDP2OlwahOc2QHBVbCpUUGPYfmXuo9dSOP05UycDHo61Ctea9vJQU+bsGqsO3yB2KMXtSQtRCm4u7sTHh5Obm6utUMRVYCjo6NNJWiw8ST9/fff89133zFv3jwiIyPZvXs3I0eOJCgoiAEDBpS4zcSJE5kwYcItjvSfta7tQ0SAB4cSU/n+cB7/juoDe+Zr96b7fGXt8CrW1VNw4aA2WEbde4HCS9131PXFzfnaP7v2dX1Zd/gCG49d4t8d6xQuSEvSaok36QsG27kEJWyHwWCwuS9WISqKTVccGzVqFK+//jqPP/44UVFR9O/fn5deeomJEyded5sxY8aQnJxsmQ4cOHALI74+nU7HgPa1Afh600nMbfMrkP21uOqN+FTQgUmtttqgGcDqg/n3oxvUKHGT6PzS9Zbjl8g15Q9EYjbDzPbwy1DtHrcQQtxmbDpJZ2RkoNcXD9FgMNxwHFJnZ2c8PT0tk4eHR2WHWWo9mwXh6eLAqcsZrEsJ0MZWVibYMsvaoVUscx641bB0YJKckcv2k1eAwvbRf9co0BNvV0fSc0zsPXNVm6nXQ91O2vPDKyo7aiGEsDk2naR79OjBe++9x9KlSzlx4gSLFi1i6tSp9O7d29qhlYurkwN9W9UC4P82nYB2w7UFO7+GrBTrBVbR7hgCrxzWHoH1Ry5gMivC/dwJ8S15wAy9Xke7OloXobEyKpYQQgA2nqRnzJhBnz59GDp0KA0bNuTVV1/lueee45133rF2aOX2rztC0em07jFP+LSD6vUhOwV2fWvt0CqWXg+ORqBI06uGfjfaorCL0KLtpeveCzoDXIyDy/GVE6sQQtgom07SHh4eTJs2jZMnT5KZmcmxY8d49913cXJysnZo5Va7uht319fuy36z5TS0G6Yt2DxT6wDE3qWc0+4l5zOZFWvjCu5H3zhJR9fVStK7Tl0lMye/oxejN4S2154fkdK0EOL2YtNJuqp6Kr8C2ffbT5MR8Yh27/b+t+2/ww6l4H9dYGoEJO4DYPfpK1zJyMXTxYGWoT433DysuhuBXi7kmMxsO3G5cIHlkrfclxZC3F4kSVvBXeE1CPV1JTUrj8X7r0C/HyCyN+jtvBlJyjnIvAyZV6Ga1oyqoFb33Q38cDDc+M9Np9MVdhFatB/v/L6/ObHh9hiYRAgh8kmStgK9Xkf/O0IB+HrTCZvsL7ZcvGrCa8fhmd/ByQ0o3hVoaVwzvjRA9XDwCQNTDhxfW6EhCyGELZMkbSWPtqyF0dHAocRUtsbnlz43fAxLX7VeUKnnb37QDwdnCGoGwNmrmRxKTEWvg7vql9w++u8K2kvvP5fM1Yz8cbd1OrnkLYS4LUmSthIvV0d6Na8JaJ2bkJoAq8bD9v/B5eO3NpjzB2D+k/BRffj8DshJL/s+SrgaUFCKbhnqg49b6Sr7+Xu6ULeGG0rB5uMlNMU6ElOsYpoQQlRlkqStaEB77ZL3ir8SSXQOg7bPQ8/PwLPmrQngyklY9LzWq1fcUm1ejQjLpeoy+etnmNESNn5qmfXHwZIH1Pgn0ZamWEWSdGg0OLpBWiIk7il7fEIIYYckSVtRRIAnbcOqYTIr5m05Cd0mQbMntUvGlSktCZa9piXVPfMBBQ0fgn//AQ98WLjelZPwfz3g5MZ/3ueRGLh0VEuiQGaOiY3HtCTb6Tq9jF1PiZXHHJyh7j3a84JuR4UQooqz6QE2bgcD2tdmS/xl5m09xbB76+HsUIk1vLOSYeMM2PQ55OZf0q5zN3QaZxnzuZj1H0L8ekAHA5Zcf79ms5akwdIV6MZjF8nOM1PT20h9f/cyhdmuji96HRy/kE5ichYBXi7agsYPg6Mr1GpTpv0JIYS9kiRtZfc18ifA04XElCxW7E+kZ6Qv7Pw/OPALPPVLxYz8lJsJW7+EDVMhU+tDm6AW0PktLUlfz91jQO8AzfsXzku/pDWzqh5eOO/cTsi4CM6eENIOgNVFanXrytj+28vVkcY1vdh7JpnYoxd5pGWwtqDxI9okhBC3CbncbWWOBj392oYAMHfjCa0m8/opcDJWGyHrZh1fB9NbQMxYLUFXbwB9v4Fn/7hxggatSVWPacXHu/7zI/isLfwyvHD0roLLz3XvAYMjSinWlLIr0Osp8ZK3EELcZqQkbQMebxPC9D+OsOvUVfYmZtKkzbOw5j3YNAOi+txcT2RewZCeBJ7BcM8YaPI4GMr5sSsFqee0kbt2fQN7F0Lrfxe2Xc7vdORgQioJyVkYHQ2WQTPKKrqeL7PWHWPj0UsopQpL40rB+b/gwGK4983CDc7u1O61m/OKTKZrXxt9IKwjeASU7z0QQohbSJK0Dajh4Uz3qEAW7z7H15tOMuWBZ7QSa8Ie+G9nMDhpiVqXf+FDpwPyX4ffV9j/d04G/DAQ/BrCfRO0eb514V8/Qa07wNHl5gLV6eDRuXDHUFj9Npz4EzZ/Xrg8/D4A/jik1eqOrueLi2P57rG3Cq2Gk0FPYkoWxy+mU7dG/n3thD0w+y7tedEkveZ9OBpT+gP4NYKWA6Htc+WKTwghbgVJ0jbiqfa1Wbz7HEv2nOM/DzSkWounYOtsOLv9xht6BRc+N+XAkZXaQBRRj0JAY23+P13WLqtabWDAr1oJevXb2j3psDvBXbu0XXg/umy1uosyOhloEerN5uOX2Xj0YmGSDmgCUX0hYXfxDaqHa/fK9Q75k6HI8/zXOgNciYeEvZB0QCt5F8hK0QY5qXO3dn723o+6EKJKkCRtI5rX8iaqphf7ziazcNtphtz3DtTrDHlZ2iVeZQZUYachBfOqhRXuxNEID80AvSN4BFZuwDqddg+6zt1a6dZbu69+KS2b3aevAqXvCvR6outWZ/Pxy8QevUT/drW1mXo9PPLltSt3nVj6HadfghPrtdJ0gZOxsPZ97RL+iJ2F85PPgmeQJG0hhFVIkrYROp2Op9qFMurHvXy7+SSD76yDoaCXrdJycIYWT5Xr+KlZuSzZc44O9aoT6luGzkx0Oks3oKCNk60UNAr0LGw6VU7t61Xno5jDbDp+CZNZYdBXUKJ089UGNCnKWE2b51PkR48pV6sk5+QGoe3Aq5bW0YxXTS1xe9YENz/th4MQQlQCSdI2pEfTIN5fdpCzVzNZffA890femspNMQfOM3bxfhJTsvBwcWB2/1a0q1u+Cl8FXYF2Kmet7qKaBnvh7uxAcmYuB86lEBXsddP7vK6QttpU1KWjYM7VOmj5a1HJ2+kdwCMoP2kHaQm8zXPgXUtbbsrLv9QuJXFhA8xm7W86L1v7EWrK1m6TmYpUsPSpDc75t5dSzsHFw+DqCwFR2jylYP9P+RUzc4tsn6vts+DR8jxPW6fFU4U/6E9vg82faa1N7hlTGN+iIVp/Dparhn9/LEGrQRDxgPb8/AFY9Zb2f7HHJxX+9lmDJGkb4uJo4LHWIcxad4yvN52s9CSdlJrF+CV/sWyf1kuYk0FPalYeT321hcl9mtC7efA/7KG4XJOZ9YcvADd/qRvAwaCnbVg1Vh9KIvbYxcpN0iXxawijT8Lpzdr42CnnIOWs9ph8Vkve5jxIPqVNBYq2K98yE2KnQ9vBcOcobZ7K/8KRErgoYDZrTSQzLmmPuemQmwW5GVo/B7mZRZ7nP945Cjzy633s/AZ2fq0lqw4vafPSL8HMdlqCzMvRHs25/xzLgF+1OiYAh5bCsle1Hgkf+6ZwnZ+eKfs5hrYvTNIpZ7UfviHtiyfpI79rfS6URX4HSoD23h35HarXL3t8NkqStI3p1zaE2euPseHoRY4mpVLPz6PCj6GU4vvtp3lv6UFSsvIw6HU827EOQ+6qy38W7WPpvgReWriHs1cyGXZPvVJ3RrLtxGVSs/PwdXOiabB3hcTavl51LUkfvcjzd9WtkH2WiaOLdt+9pMp3pjxIO5+fuPOTd8q54n2vJ+zVmsAVLQRcPQWzOmglk4AmENgEAptqXywV0XmNqBgFJbeCv3+zGfIyry3hWdb9W50RUzakX9R+7BV8roeWwtFVUOceaPSQNi/poNZ/virjwDEtnipM0mnn4cxW8IsoXK43aPNvRO+gtR7ROxZWttQVaZHh6qvV3ShaQVWn0+IH7bwMTvn7cdT2YyiyT4ND/qOT9j4UCIiCbpOvbQp5/7taPRxLC5aSHv+maG+JvvWg5+fg4nnj87YjkqRtTK1qrnRq6E/MgfN8s+kkE3o2rtD9x19MZ8zPe9l8/DIAUTW9+OCRKCKDtFLqjCeaE+xj5Iv1x5ny+2HOXMnknV6NcTT8c6nvj4Pape67G/ihr6D7xwXjS287cZnsPFPldptaVgYH7fK21w0GROnxCbQZbKn5DkDiXshO0SqrnYwtsj9n8G+kJe6AKK35nE+Ydi+8vG3bbwcFlSj1+X8bKQlwbLVWKk2/CBmXtdJZdtrfLsnmFZYuTXkwbDO45F+t+e0l2P6V1syv4ApI0gGYFV32+F7cCz7aYDqc3qrt18GlMEkbfQoTtLMXuPpog8k4GvMn17895j93q154jEY9tcFxfGoXznP2gOc3aAmyYHJwzk+szvmJ9B/+Xzd+WJv+7qnFZX8fivKtq01/1+yJm9uvhz8073dz+7Ax8j/fBg1sX5uYA+f5cccZXu3SAA+Xmy9d5ZrMfPnncaatOkJOnhkXRz2v3NeAp6Nr41AkAev1OsY80JBgHyNvLfmLBdtOcy45i8+ebP6PcVTk/egCDfw9qO7uxMW0HHadusod5ewcxWqcXKFW6+Lz6neF52O1ZJ2wV6sdn7gPclLh3C5tKkpn0L7kh20rTNbndmnt5H3DtWOUhlKQnQpZV7XLgplXtHkFA5cAHPxVm1/nbkuNfdKStPvzBmftS75gMjiDg5O2j793HKPMxb+ELxzW9lutDrjnjy2emghntuXf0yy4t3m95/mPZhM8OLVwv4uGwL4ftIFhWj2tzbsYB78MK917UpSp6KXg/B+Zpryy78eyC4NWEi069Gvde7QEXbT+g5sfvBKnrVveKynVw4t31Qvaj5aC+8jCbkmStkHt6/pSt4Ybxy6kc9eHa2lXx5f29XyJrludUF/XMveFvef0VV7/eR8HE1IA6Bhenfd6RRHie/0v9/7tahPoZeSF+btYf/gCfb/YzJyBra9bYzv+YjrHL6bjoNfRMbx6ieuUh06no13d6vy65xwbj160vyRdEoOj1oY9oLE26hlol1KvxOcn7j1aBZgrJ7TJlK1V9Claml75hlYKf+R/Wq90oCX8/T9q9yszr2pJsWhCzryq9RZXlFcIvLSv8PWGj+HsDnh8fmGSProaFj9ftnN0cof/nC0S7xjtMm+vWYWlpXO7YOG/yrZfgPvfKRxOVa/XSsIZRYY19aqlNV909QXX6uBaTSt1OnuUcBm2yOXaglI0QKexcNfowgpUoF2uHXP2Hy7F/u3x7/9XS7p1otdLD3jiusqVpE+fPo1OpyM4WLtPsXXrVubNm0ejRo0YPHhwhQZ49uxZRo8ezfLly8nIyKBevXrMmTOHVq1aVehxbIlOp+OtHpEM+24nl9NzWLovgaX7EgCo6W2kfV1foutVp31dX/w8r9/MKSMnj49+P8yc2HjMCrxdHRn3YCN6N69ZqkTfuZE/C5+7g0Fzt3MwIYXen8cy5+nWRARce7+noBTdJqxahZT8i4qu68uve84Re+wSL1fonm2IXl94CbBo8zCzGVITtI5ainLx1hJQ0cubpzZDbClqtBqctUusRp/i9xpBq9zjVqN40nBy1Ursedn5PxiytIpIeVkUu9letPMYx7/9APQI1ErRRUv9rtW1nvAKEqXBqRTPHYvfu73nTW0gGNciPwwLetm7GUafa+fpDcWTthC3gE6p69Vrv76OHTsyePBg+vfvT2JiIg0aNCAyMpIjR47wwgsvMG7cuAoJ7sqVKzRv3px77rmHIUOGUKNGDY4cOULdunWpW7d0lYjOnDlDrVq1OH36tOVHhb3INZnZc/oqsUcvEXvsIrtOXSHXVPzjCvdztyTstnV88TJqCXLd4Qu8sWgfZ65kAtCrWRBjH2yEr3vZx6o+fTmDgXO2cuxCOh7ODsz8V0s6/K203O+/m4k9eok3uzfk3x3rlPOMr3/8jpPX4KDXsfut+3F3lgtAFkoVltbi18OhZVoiLEjCLt6Fz435zx2NFXdsc5522V2nl2ZmokqzVi4pV5L28fFh8+bNNGjQgOnTp7Nw4UJiY2P5/fffef755zl+/HiFBPf6668TGxvLn3/+We592HOS/ruMnDy2nbjCxqMX2XjsEvvPJRdrOqjXaRXBqrs7W7rmrOlt5N3ejbmnwc3dJ07OyGXwN9vZEn8ZB72OiQ9H8WgrrS1walYuzd+OIc+sWPPq3YRVL0NnKKXUcfIfnL6cyVcDW91Ud6NCCFEe1sol5SqS5Obm4uyslchWrVrFQw9ptRQjIiJISEiosOCWLFlCly5dePTRR1m3bh01a9Zk6NChPPvss9fdJjs7m+zsbMvr1NTUCovH2lydHLirfg3uqq9VvLmakcPm45csJe3jF9LZcyYZ0Ao1T7cP45X76+NWASVPL1dHvn6mDa/9uJdfdp9j1I97OXMlk5Gdw9lw5CJ5ZkVYdbdKSdCgdRG64PJpYo9ekiQthLhtlOvbOzIyklmzZtG9e3diYmJ45513ADh37hy+vhVXsef48ePMnDmTl19+mf/85z9s27aNESNG4OTkxIABA0rcZuLEiUyYMKHCYrBl3q5OdG0cSNfGWj/dCcmZbDx6iWMX0rg/MoBmtbwr9HjODgY+7tuMYB8jn605xierj3DmSiZ5Zu0eYUV0YHI97etVZ8G208QelfGlhRC3j3Jd7l67di29e/cmJSWFAQMG8NVXXwHwn//8h0OHDvHzzz9XSHBOTk60atWKjRs3WuaNGDGCbdu2sWnTphK3+XtJ+uzZszRq1KhKXO62JfO2nGLsL/sxmQv/fOb9uy3t61Vcze6iLqZl0+rdVQBsf7Mz1ctxb10IIcrLri5333333Vy8eJGUlBR8fAprQQ4ePBhX11K22SyFwMBAGjVqVGxew4YN+emn69fcdHZ2tlyKB0hJSamweEShJ9uGEOjtwvDvdpKeY8Ld2YFWtatV2vGquzsTEeDBocRUNh27RI+mQZV2LCGEsBXl6jw4MzOT7OxsS4I+efIk06ZNIy4uDj+/irvkGR0dTVxcXLF5hw8fJjQ0tMKOIcrvngZ+LHyuHU2DvRh2Tz2cHCq3L+r2dbVS+sZjcslbCHF7KNe3as+ePfn6668BuHr1Km3btuWjjz6iV69ezJw5s8KCe+mll9i8eTPvv/8+R48eZd68ecyePZthw8rRm5CoFI1revHL8A4Mubvy+9Uu6CI09uilf1hTCCGqhnIl6Z07d9KxY0cAfvzxR/z9/Tl58iRff/0106dPr7DgWrduzaJFi5g/fz6NGzfmnXfeYdq0afTrV7X6ZhWl0yasGga9jlOXMzh9OcPa4QghRKUr1z3pjIwMPDy00Zl+//13Hn74YfR6PXfccQcnT56s0AAffPBBHnzwwQrdp7BPHi6ONA32Yuepq2w8dpHHqoVYOyQhhKhU5SpJ16tXj8WLF3P69GlWrlzJ/fdr43kmJSXh6Vl1hggTtic6v/a4XPIWQtwOylWSHjduHE8++SQvvfQS9957L+3atQO0UnXz5s0rNEAhimpftzoz/jjKkj3nWL4/oXD43vzlBS0KC18X397DxYHIIE8aB3nRuKYXjWt6ElbdHUMFDa0phBAVqVxJuk+fPnTo0IGEhASaNm1qmd+pUyd69+59gy2FuDktQr0JqebKqcsZ1/RjXhqpWXlsPn7ZMp42gNHRQKMgTxoHeRJZ04vGQV6E+7uXagxtIYSoTOXqzKSoM2fOANhsRyFVqe9uocnJM3MpXeuwRpc/7m/B2A46yz8lL0tKzWb/2WT+OpdieczM/dvwjYCTg56IAA8ig7TSdtswX+r5yQhIQtyu7KozE7PZzLvvvstHH31EWloaAB4eHrzyyiu88cYb6PVSAhGVx8lBT6BX+UZy8nV3pmGgJ4/mvzaZFfEX09h/Vkva+88l89fZFFKz89h7Jpm9RfpCH/dgI56ODqugsxBCiH9WriT9xhtv8L///Y8PPviA6OhoADZs2MD48ePJysrivffeq9AghagsBr2Oen4e1PPzoFfzmgCYzYrTVzK0xH0umR0nr7A1/jITfj1AUmo2r3VpUKrxuIUQ4maV63J3UFAQs2bNsox+VeCXX35h6NChnD17tsICvFlyuVvcLKUUn689xocrtd7vHm5Rk0mPNJF71kLcRqyVS8r1LXP58mUiIiKumR8REcHly5dL2EII+6XT6Rh2Tz0m92mCQa/j551nefbr7WTk5Fk7NCFEFVeuJN20aVM+/fTTa+Z/+umnNGnS5KaDEsIW9W1Viy+faomLo561cRd4YvZmLqVl//OGQghRTuW6Jz158mS6d+/OqlWrLG2kN23axOnTp1m2bFmFBiiELbk3wp95z97BoLnb2HMmmT6zNvH1oDbUqlZxo78JIUSBcpWk77rrLg4fPkzv3r25evUqV69e5eGHH+avv/7im2++qegYhbApLUJ8+PH59tT0NhJ/MZ2HZ27kr3PJ1g5LCFEF3XQ76aL27NlDixYtMJmubXdqLVJxTFSW8ylZDPhqK4cSU3F3dmB2/5a0z++2VAhRtdhVxTEhBPh7urDwuXa0DatGWnYeA+Zs5dc956wdlhCiCpEkLcRN8DI68n+D2vBAVAC5JsWIBbuYExtv7bCEEFWEJGkhbpKLo4EZT7TgqXahKAUTfj3ApBWHqMA7SUKI21SZanc//PDDN1x+9erVm4lFCLtl0OuY8FAk/p4ufLgyjplrj3E+JUs6PRFC3JQyJWkvL69/XP7UU0/dVEBC2KuCTk9qeDgz5ud9/LzzLJfTc/jk8eZ4GR2tHZ4Qwg6VKUnPmTOnsuIQosro26oW1d2dGPrdTtbGXaDrtPVM7tOEjuE1rB2aEMLOyHU4ISrBvRH+fP9cO8Kqu5GQnEX//21l3C/7pStRIUSZSJIWopI0CfZm6YgOPNUuFICvN53kgU/+ZMfJK1aOTAhhL+wqSX/wwQfodDpGjhxp7VCEKBVXJwfe7tmYb55pQ4CnCycuZfDorI1MXnGInDyztcMTQtg4u0nS27Zt44svvpABPIRd6hheg5Uv3cnDzWtiVvD52mP0/CyWgwkp1g5NCGHD7CJJp6Wl0a9fP7788kt8fHysHY4Q5eJldGTqY82Y9a8WVHNz4mBCCg99uoGZa49hMkubaiHEtewiSQ8bNozu3bvTuXNna4cixE3r2jiQlSPvpHNDf3JNikkrDtH3i02cuJhu7dCEEDbG5pP0ggUL2LlzJxMnTizV+tnZ2aSkpFim1NTUSo5QiLKr4eHMl0+15MM+TXB3dmDHySt0++RPvtl8UnoqE0JY2HSSPn36NC+++CLfffcdLi4updpm4sSJeHl5WaZGjRpVcpRClI9Op+PRVrVYMbIj7er4kplrYuzi/QyYs43E5CxrhyeEsAEVOlRlRVu8eDG9e/fGYDBY5plMJnQ6HXq9nuzs7GLLQCtJZ2dnW16fPXuWRo0ayVCVwqaZzYq5G08wacUhsvPMeLo4MHdQG1qESB0MIWyBDFVZgk6dOrFv3z52795tmVq1akW/fv3YvXv3NQkawNnZGU9PT8vk4eFhhciFKBu9XsegDmEsHdGRpsFepGTl8cK8XSRn5lo7NCGEFdl0kvbw8KBx48bFJjc3N3x9fWncuLG1wxOiwtXzc+fbf7cl1NeVs1cz+c/P++QetRC3MZtO0kLcjjxcHJn+eHMc9DqW7ktg4bbT1g5JCGElZRpgwxasXbvW2iEIUema1vJmVJcGTFx+iPG//kWr2j7U85NbN0LcbqQkLYSNerZjHTqGVycr18wL83eTlWuydkhCiFtMkrQQNkqv1/HRo03xze+d7IPlh6wdkhDiFpMkLYQN8/N0YcqjTQGYu/EEqw6ct3JEQohbSZK0EDbungg/nukQBsCoH/dwPkU6OhHidiFJWgg78FrXBkQGeXIlI5eRC3bLgBxC3CYkSQthB5wdDMx4ojmuTgY2Hb/ErHXHrB2SEOIWkCQthJ2oU8OdCQ9FAjA15jA7T12xckRCiMomSVoIO9KnZTAPNQ3CZFaMmL+LlCzpNlSIqkyStBB2RKfT8W7vxtSqZuTMFek2VIiqTpK0EHbGs0i3ob/tTeCHHWesHZIQopJIkhbCDjUP8eHl++sD8NYvf3HsQpqVIxJCVAZJ0kLYqefvrEt0PV8yc028MG8X2XnSbagQVY0kaSHslF6vY2rfZvi4OnIgIYVJy+OsHZIQooJJkhbCjvkX6Tb0q9h4/jgk3YYKUZVIkhbCznVq6M/A9rUBePWHvdJtqBBViCRpIaqA17tF0DDQk8vpOTw6axNHk6QimRBVgSRpIaoAF0cDs/7VglrVjJy6nMHDn8ey8ehFa4clhLhJkqSFqCJCfd1YPDSaFiHepGTl8dRXW/l++2lrhyWEuAmSpIWoQnzdnZn37B082CSQPLPitR/3MnnFIcwyapYQdkmStBBVjIujgemPN+eFe+sB8PnaY7wwfxdZudKOWgh7I0laiCpIr9fxyv0NmPJoUxwNOpbuS+CJLzdzMS27Qvafnp3H/zbE0+2TP3l/2UFy8swVsl8hRHE2naQnTpxI69at8fDwwM/Pj169ehEXJx02CFFafVoG8/WgtngZHdl16iq9PovlyPnUcu/vQmo2H648RLuJq3nntwMcTEhh9vrjPDZ7E2evZlZg5EIIsPEkvW7dOoYNG8bmzZuJiYkhNzeX+++/n/T0dGuHJoTdaFfXl5+HtifU15UzVzJ5+PONbDhStprfxy+kMebnfURP+oPP1hwjJSuPsOpujOgUjqeLA7tOXaX79D9ZG5dUSWchxO1Jp+xonLsLFy7g5+fHunXruPPOO0u1zZkzZ6hVqxanT58mODi4kiMUwnZdTs/huW+2s+3EFQx6He/2aswTbUJuuM2uU1f4Yt1xVh5IpOCbolktb56/qy73NfLHoNdx+nIGQ7/byb6zyeh0MPyeeozsXB+DXncLzkqIW8NaucThlh2pAiQnJwNQrVq1666TnZ1NdnbhfbfU1PJf2hOiKqnm5sS3/27Laz/u5Zfd5xjz8z5OXExndNcI9EUSqtmsWBOXxBfrj7M1/rJlfqcIP567qy6ta/ug0xWuX6uaKz8Oace7vx3km80nmfHHUXacvMInjzenhofzLT1HIaoauylJm81mHnroIa5evcqGDRuuu9748eOZMGHCNfOlJC2ERinFtFVH+GT1EQC6Rgbw8WPNMOh1/LL7LLPXH+dIfo9ljgYdvZrVZPCddQj39/jHff+y+yxjft5HRo4JPw9nPn2yBW3Crv+jWgh7Ya2StN0k6SFDhrB8+XI2bNhwwzfo7yXps2fP0qhRI0nSQvzNol1nGP3jPnJMZiICPLiakUtifr/f7s4O9GsbwtPRYQR4uZRpv0eTUhny7U6OJKVh0OsY1aUBz91Zp1jpWwh7I0n6BoYPH84vv/zC+vXrCQsLK9O2ck9aiOvbGn+Z577ZzpWMXAD8PJwZ1CGMJ9uG4OniWO79ZuTk8cai/SzadRaAzg39+ejRpni5ln+fQliTJOkSKKV44YUXWLRoEWvXriU8PLzM+5AkLcSNnbiYzqx1x2gR4kPP5kE4OxgqZL9KKeZvPc34JX+RYzIT7GNkZr+WRAV7Vcj+hbiVJEmXYOjQocybN49ffvmFBg0aWOZ7eXlhNBpLtQ9J0kJY1/6zyQz5bgenL2fiZNAztkcj/tU2RC5/C7tirVxi0+2kZ86cSXJyMnfffTeBgYGWaeHChdYOTQhRSo1revHb8I7c18ifHJOZsYv3M3LhbtKy86wdmhA2z6abYNlwIV8IUQZero7M7t+SL/88zqQVcfyy+xzL9yUSWdOTliE+tAzVJj/PslVSE6Kqs+kkLYSoOnQ6HYPvrEvzEB9e+X4Ppy5nsOvUVXadusp/N8QDEOxjpEWRpB0R4IGDwaYv+AlRqSRJCyFuqda1q7Fu1N2cupzBjpNX2HnqCjtOXiUuMYUzVzI5cyWTJXvOAWB0NNCsljctQr1pGepDixAfvF2drHwGQtw6kqSFELecTqcj1NeNUF83Hm6hVcJJzcplz+nk/KStJe/UrDw2Hb/EpuOXLNs2CvTkgagAujYOpJ6fu7VOQYhbQpK0EMImeLg40iG8Oh3CqwNa96RHL6Sx86SWtHecusLxC+kcSEjhQEIKU34/TH1/d7o1DuSBqEDq+7tLjXFR5dh0E6yKIE2whKg6LqVls/pQEsv3JbDh6EVyTYVfX3VquNGtcQDdGgcSGeQpCVtUKGknXUkkSQtRNSVn5rL64HmW7Utk/ZEL5OSZLctCqrnSLSqABxoH0iTYSxK2uGmSpCuJJGkhqr7UrFz+OJTEiv2JrIlLIiu3MGHX9DbStXEA9zXyp1ktb1wcK6ZHNXF7kSRdSSRJC3F7ycjJY23cBZbtS+CPQ0lk5Jgsy5wMeprW8qJ17Wq0DqtGy1Cfm+qjXNw+ZDxpIYSoAK5ODjwQpVUmy8o1sf7wBZbvT2TD0YtcSM1m24krbDtxBdYeQ6+DhoGetK5djbZh1WhVu5qMgS1siiRpIUSV5eJo4P7IAO6PDEApxclLGWw9cZmt8ZfZduIyJy9l8Ne5FP46l8LcjScAqFPdjda1q9EmTJuCfYxyT1tYjSRpIcRtQafTUbu6G7Wru9G3VS0AzqdkWRL21vjLxJ1P5fjFdI5fTGfh9tMA1PZ1ZfCddenTMhgnB+n9TNxack9aCCHyJWfksv2klrC3nrjMvjPJ5Jm1r8ggLxeG3FOPvq2CK2w4T2E/pOJYJZEkLYQor/TsPBZuO82sdcdISs0GIMDThefvqsPjbUKkpvhtRIaqFEIIG+Pm7MCgDmGsf+0e3u4ZSaCXC4kpWYz/9QAdJ6/hv38eJ7NI7XEhKpokaSGE+AcujgaealebtaPu5r3ejanpbeRCajbvLj1Ix8l/8MW6Y6TL+NiiEkiSFkKIUnJ2MNCvbShrXr2bSY9EUauakYtpOUxcfogOk/7gszVHSc3KtXaYogqRJC2EEGXk5KDnsdYh/PHK3XzYpwm1fV25kpHLhyvj6DBpDdNXHyE5U5K1uHlScUwIIW5SnsnMb3sTmPHHEY5dSAdApwN3JwdcnQ24OTvg5uSAq5MBd2cHXJ0dcHc24OrkkL8sfx1nA0ZHA3lmhcmsyDUp8kxm8sxFHi3LzJZ1TGatG1R/TxeCfYwE+7gS7GPEy+gobbwriPQ4JoQQdsrBoKdX85r0aBrEsn1asj58Po3U7DxSs/OAbKvE5e7skJ+0jdT0LkzeBY/erpLEbZ0kaSGEqCAGvY4eTYN4sEkgF9KySc82kZ6dp005eYWvc0xF5uWRkW0iLTuPjBwTWbkmDHodDgYdDno9DkWfG3QY9Doc9XoMBh2Oeh0OBm0ds1IkJGdx5komZ65kcjEtm7TsPA4lpnIoMbXEeN2cDNT0MeLv6YKfhwv+ns74eTjj51nw3IUaHs7S1MyK7CJJf/bZZ3z44YckJibStGlTZsyYQZs2bawdlhBClEin0+Hn4QIe1oshM8fE2auZnLmSkf9YMGVw5komF1KzSc8xcfh8GofPp91wX15GR/w8nPOTuZbEa3g4o5QiK9dEZq6JzBwzmbnaj4zCeUWe55rIyjWTlWPC2VGPp4sjHi4OeBod8XRxxNPokP+YP/9v8zxdHHFx1Ft+lDga9Bj0Vf8qgM0n6YULF/Lyyy8za9Ys2rZty7Rp0+jSpQtxcXH4+flZOzwhhLBJRicD9fzcqefnXuLyrFwT5/KTd1JqNudTsriQ/5hU5DEnz0xyZi7JmbkcSbpxMi+t1Gy4mJZz0/vR67RbDQVXFBzzrzg4OmhXGwquQDgadCx8rp1dXhGw+SQ9depUnn32WZ5++mkAZs2axdKlS/nqq694/fXXrRydEELYJxdHA3VquFOnRslJHEApRUpmHudTs0hKKZ7AL6ZlY9DrMDoacHE0YHQy4OJgwOikLzav4LmLo/bc2VFPTp6ZlMxcUrLySMnMJTWr8HlKVi6pWXmkZOWSkplX+Doz19JFawGzgpw8M1q6v3GnMvZ6692mk3ROTg47duxgzJgxlnl6vZ7OnTuzadMmK0YmhBBVn06nw8vVES9XR+r7W/HaPdoPBlN+7fYck5m8/Jrvufk133NNijyzmdw8Ra752uWOevtscWzTSfrixYuYTCb8/f2Lzff39+fQoUMlbpOdnU12dmFNytTUkitMCCGEsB86XX4FOgN2edm6vOzzp8UNTJw4ES8vL8vUqFEja4ckhBBClItNJ+nq1atjMBg4f/58sfnnz58nICCgxG3GjBlDcnKyZTpw4MCtCFUIIYSocDadpJ2cnGjZsiWrV6+2zDObzaxevZp27dqVuI2zszOenp6WycPDuvdRhBBCiPKy6XvSAC+//DIDBgygVatWtGnThmnTppGenm6p7S2EEEJUVTafpB977DEuXLjAuHHjSExMpFmzZqxYseKaymRCCCFEVWPzSRpg+PDhDB8+vFzbmvM7nk9ISKjIkIQQQtxGCnJIQU65VewiSd+Mgkpn0o2oEEKIm3X+/HlCQkJu2fGq/FCVeXl57Nq1C39/f/R20Jg9NTWVRo0aceDAgSpT6a2qnVNVOx+oeuck52P77O2czGYz58+fp3nz5jg43LrybZVP0vYmJSUFLy8vkpOT8fT0tHY4FaKqnVNVOx+oeuck52P7quI5VQbbL1oKIYQQtylJ0kIIIYSNkiRtY5ydnXnrrbdwdna2digVpqqdU1U7H6h65yTnY/uq4jlVBrknLYQQQtgoKUkLIYQQNkqStBBCCGGjJEkLIYQQNkqStI2YOHEirVu3xsPDAz8/P3r16kVcXJy1w6owH3zwATqdjpEjR1o7lJty9uxZ/vWvf+Hr64vRaCQqKort27dbO6xyMZlMjB07lrCwMIxGI3Xr1uWdd97BnqqprF+/nh49ehAUFIROp2Px4sXFliulGDduHIGBgRiNRjp37syRI0esE2wp3Oh8cnNzGT16NFFRUbi5uREUFMRTTz3FuXPnrBdwKfzTZ1TU888/j06nY9q0abcsPlsnSdpGrFu3jmHDhrF582ZiYmLIzc3l/vvvJz093dqh3bRt27bxxRdf0KRJE2uHclOuXLlCdHQ0jo6OLF++nAMHDvDRRx/h4+Nj7dDKZdKkScycOZNPP/2UgwcPMmnSJCZPnsyMGTOsHVqppaen07RpUz777LMSl0+ePJnp06cza9YstmzZgpubG126dCErK+sWR1o6NzqfjIwMdu7cydixY9m5cyc///wzcXFxPPTQQ1aItPT+6TMqsGjRIjZv3kxQUNAtisxOKGGTkpKSFKDWrVtn7VBuSmpqqgoPD1cxMTHqrrvuUi+++KK1Qyq30aNHqw4dOlg7jArTvXt3NWjQoGLzHn74YdWvXz8rRXRzALVo0SLLa7PZrAICAtSHH35omXf16lXl7Oys5s+fb4UIy+bv51OSrVu3KkCdPHny1gR1k653TmfOnFE1a9ZU+/fvV6Ghoerjjz++5bHZKilJ26jk5GQAqlWrZuVIbs6wYcPo3r07nTt3tnYoN23JkiW0atWKRx99FD8/P5o3b86XX35p7bDKrX379qxevZrDhw8DsGfPHjZs2EC3bt2sHFnFiI+PJzExsdjfnpeXF23btmXTpk1WjKziJCcno9Pp8Pb2tnYo5WY2m+nfvz+jRo0iMjLS2uHYnCo/CpY9MpvNjBw5kujoaBo3bmztcMptwYIF7Ny5k23btlk7lApx/PhxZs6cycsvv8x//vMftm3bxogRI3BycmLAgAHWDq/MXn/9dVJSUoiIiMBgMGAymXjvvffo16+ftUOrEImJiQDXjD3v7+9vWWbPsrKyGD16NE888YRd9309adIkHBwcGDFihLVDsUmSpG3QsGHD2L9/Pxs2bLB2KOV2+vRpXnzxRWJiYnBxcbF2OBXCbDbTqlUr3n//fQCaN2/O/v37mTVrll0m6e+//57vvvuOefPmERkZye7duxk5ciRBQUF2eT63k9zcXPr27YtSipkzZ1o7nHLbsWMHn3zyCTt37kSn01k7HJskl7ttzPDhw/ntt99Ys2YNwcHB1g6n3Hbs2EFSUhItWrTAwcEBBwcH1q1bx/Tp03FwcMBkMlk7xDILDAykUaNGxeY1bNiQU6dOWSmimzNq1Chef/11Hn/8caKioujfvz8vvfQSEydOtHZoFSIgIAAoHFO+wPnz5y3L7FFBgj558iQxMTF2XYr+888/SUpKIiQkxPI9cfLkSV555RVq165t7fBsgpSkbYRSihdeeIFFixaxdu1awsLCrB3STenUqRP79u0rNu/pp58mIiKC0aNHYzAYrBRZ+UVHR1/TLO7w4cOEhoZaKaKbk5GRcc0Y6waDAbPZbKWIKlZYWBgBAQGsXr2aZs2aAdrwiFu2bGHIkCHWDa6cChL0kSNHWLNmDb6+vtYO6ab079//mvoqXbp0oX///jz99NNWisq2SJK2EcOGDWPevHn88ssveHh4WO6ZeXl5YTQarRxd2Xl4eFxzP93NzQ1fX1+7vc/+0ksv0b59e95//3369u3L1q1bmT17NrNnz7Z2aOXSo0cP3nvvPUJCQoiMjGTXrl1MnTqVQYMGWTu0UktLS+Po0aOW1/Hx8ezevZtq1aoREhLCyJEjeffddwkPDycsLIyxY8cSFBREr169rBf0DdzofAIDA+nTpw87d+7kt99+w2QyWb4nqlWrhpOTk7XCvqF/+oz+/kPD0dGRgIAAGjRocKtDtU3Wrl4uNECJ05w5c6wdWoWx9yZYSin166+/qsaNGytnZ2cVERGhZs+ebe2Qyi0lJUW9+OKLKiQkRLm4uKg6deqoN954Q2VnZ1s7tFJbs2ZNif9vBgwYoJTSmmGNHTtW+fv7K2dnZ9WpUycVFxdn3aBv4EbnEx8ff93viTVr1lg79Ov6p8/o76QJVnEyCpYQQghho6TimBBCCGGjJEkLIYQQNkqStBBCCGGjJEkLIYQQNkqStBBCCGGjJEkLIYQQNkqStBBCCGGjJEkLIYQQNkqStBCi1HQ6HYsXL7Z2GELcNiRJC2EnBg4ciE6nu2bq2rWrtUMTQlQSGWBDCDvStWtX5syZU2yes7OzlaIRQlQ2KUkLYUecnZ0JCAgoNvn4+ADapeiZM2fSrVs3jEYjderU4ccffyy2/b59+7j33nsxGo34+voyePBg0tLSiq3z1VdfERkZibOzM4GBgQwfPrzY8osXL9K7d29cXV0JDw9nyZIllmVXrlyhX79+1KhRA6PRSHh4+DU/KoQQpSdJWogqZOzYsTzyyCPs2bOHfv368fjjj3Pw4EEA0tPT6dKlCz4+Pmzbto0ffviBVatWFUvCM2fOZNiwYQwePJh9+/axZMkS6tWrV+wYEyZMoG/fvuzdu5cHHniAfv36cfnyZcvxDxw4wPLlyzl48CAzZ86kevXqt+4NEKKqsfYwXEKI0hkwYIAyGAzKzc2t2PTee+8ppbThTp9//vli27Rt21YNGTJEKaXU7NmzlY+Pj0pLS7MsX7p0qdLr9SoxMVEppVRQUJB64403rhsDoN58803L67S0NAWo5cuXK6WU6tGjh3r66acr5oSFEEruSQthR+655x5mzpxZbF61atUsz9u1a1dsWbt27di9ezcABw8epGnTpri5uVmWR0dHYzabiYuLQ6fTce7cOTp16nTDGJo0aWJ57ubmhqenJ0lJSQAMGTKERx55hJ07d3L//ffTq1cv2rdvX65zFUJIxTEh7Iqbm9s1l58ritFoLNV6jo6OxV7rdDrMZjMA3bp14+TJkyxbtoyYmBg6derEsGHDmDJlSoXHK8TtQO5JC1GFbN68+ZrXDRs2BKBhw4bs2bOH9PR0y/LY2Fj0ej0NGjTAw8OD2rVrs3r16puKoUaNGgwYMIBvv/2WadOmMXv27JvanxC3MylJC2FHsrOzSUxMLDbPwcHBUjnrhx9+oFWrVnTo0IHvvvuOrVu38r///Q+Afv368dZbbzFgwADGjx/PhQsXeOGFF+jfvz/+/v4AjB8/nueffx4/Pz+6detGamoqsbGxvPDCC6WKb9y4cbRs2ZLIyEiys7P57bffLD8ShBBlJ0laCDuyYsUKAgMDi81r0KABhw4dArSa1wsWLGDo0KEEBgYyf/58GjVqBICrqysrV67kxRdfpHXr1ri6uvLII48wdepUy74GDBhAVlYWH3/8Ma+++irVq1enT58+pY7PycmJMWPGcOLECYxGIx07dmTBggUVcOZC3J50Sill7SCEEDdPp9OxaNEievXqZe1QhBAVRO5JCyGEEDZKkrQQQghho+SetBBVhNy5EqLqkZK0EEIIYaMkSQshhBA2SpK0EEIIYaMkSQshhBA2SpK0EEIIYaMkSQshhBA2SpK0EEIIYaMkSQshhBA2SpK0EEIIYaP+H7rihofIxFkmAAAAAElFTkSuQmCC", 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gODjYYF5QUJD+UjV/nxu6evUqtm7dipdfflk/ryZ+nxjqysnc3BwtW7bEtm3b9PN0Oh22bduGdu3ayVhZ9fHz84O7u7tBG2RkZODgwYP6NmjXrh3S0tJw5MgR/Trbt2+HTqdD27Zt9evs3r0bhYWF+nUiIyPRsGFDODg46NcpfZzidYylrUVRxLhx47B69Wps374dfn5+BstbtmwJMzMzg88QFxeH+Ph4g7Y6deqUwS/NyMhI2Nra6n8ZP6odauL3UqfTIT8/n21USvfu3XHq1CkcP35cP7Vq1QoRERH612yrsmVlZeHixYvw8PDgd6qU0NDQ+4ZZOnfuHHx9fQHw9/m9Fi9eDFdXV/Tu3Vs/r0Z+nyrUraKWW7FihahWq8UlS5aIZ86cEV999VXR3t7eoNdLTZeZmSkeO3ZMPHbsmAhA/PLLL8Vjx46JV69eFUVR6gJvb28v/vPPP+LJkyfFZ555pswu8M2bNxcPHjwo7t27VwwICDDoAp+Wlia6ubmJw4YNE2NiYsQVK1aIlpaW93WBV6lU4ty5c8XY2Fjxgw8+MJou8KIoiqNHjxbt7OzEnTt3GnSHz8nJ0a/z+uuviz4+PuL27dvFw4cPi+3atRPbtWunX17cFb5Hjx7i8ePHxU2bNokuLi5ldoWfMmWKGBsbK3733XdldoU31u/lO++8I+7atUu8fPmyePLkSfGdd94RBUEQt2zZIooi2+hhSvd+FUW2VbE333xT3Llzp3j58mUxKipKDAsLE52dncWUlBRRFNlOxQ4dOiSqVCpx5syZ4vnz58WlS5eKlpaW4u+//65fh7/PJVqtVvTx8RGnTp1637Ka9n1iqKugb775RvTx8RHNzc3FNm3aiAcOHJC7pEq1Y8cOEcB90/Dhw0VRlLrBT5s2TXRzcxPVarXYvXt3MS4uzmAft2/fFocOHSpaW1uLtra24siRI8XMzEyDdU6cOCF26NBBVKvVYp06dcTPPvvsvlr++OMPsUGDBqK5ubkYEhIirl+/vso+d0WV1UYAxMWLF+vXyc3NFceMGSM6ODiIlpaWYv/+/cUbN24Y7OfKlStir169RI1GIzo7O4tvvvmmWFhYaLDOjh07xGbNmonm5uZivXr1DI5RzFi/l6NGjRJ9fX1Fc3Nz0cXFRezevbs+0Iki2+hh7g11bCvJkCFDRA8PD9Hc3FysU6eOOGTIEIOx19hOJf7991+xUaNGolqtFgMDA8Uff/zRYDl/n0s2b94sArjvs4tizfs+CaIoihU7t0dERERExob31BERERGZAIY6IiIiIhPAUEdERERkAhjqiIiIiEwAQx0RERGRCWCoIyIiIjIBDHWPIT8/HzNmzEB+fr7cpRg1tlP5sJ3Kj21VPmyn8mE7lR/bqnzkbieOU/cYMjIyYGdnh/T0dNja2spdjtFiO5UP26n82Fblw3YqH7ZT+bGtykfuduKZOiIiIiITwFBHREREZAJUchdQ1YqKinDs2DG4ublBoaicDJuZmQkASExMREZGRqXs0xSxncqH7VR+bKvyYTuVD9up/NhW5VO6ndLS0pCcnIzmzZtDpaqeuGXy99RFR0ejTZs2cpdBREREtdChQ4fQunXrajmWyZ+pc3NzAyA1qoeHh8zVEBERUW1w48YNtGnTRp9DqoPJh7riS64eHh7w8vKSuRoiIiKqTSrr1q9yHavajkREREREVYahjoiIiMgEMNQRERERmQCTv6eOiIioNK1Wi8LCQrnLoBrOzMwMSqVS7jIMMNQREVGtIIoikpKSkJaWJncpZCLs7e3h7u4OQRDkLgUAQx0REdUSxYHO1dUVlpaWRvOHmGoeURSRk5ODlJQUADCaIdMY6oiIyORptVp9oHNycpK7HDIBGo0GAJCSkgJXV1ejuBTLjhJERGTyiu+hs7S0lLkSMiXF3ydjuUeToY6IiGoNXnKlymRs3yeGOiIiIiITwFBHRERUy9StWxfz5s0r9/o7d+6EIAhV3nN4yZIlsLe3r9JjmDKGOiIiIiMlCMJDpxkzZjzWfqOjo/Hqq6+We/327dvjxo0bsLOze6zjUfVg71ciIiIjdePGDf3rlStXYvr06YiLi9PPs7a21r8WRRFarRYq1aP/tLu4uFSoDnNzc7i7u1doG6p+PFP3H+UVarHr5AWcPxwpdylERGRi3N3d9ZOdnR0EQdC/P3v2LGxsbLBx40a0bNkSarUae/fuxcWLF/HMM8/Azc0N1tbWaN26NbZu3Wqw33svvwqCgJ9++gn9+/eHpaUlAgICsHbtWv3yey+/Fl8m3bx5M4KCgmBtbY2ePXsahNCioiJMmDAB9vb2cHJywtSpUzF8+HD069evQm2wYMEC+Pv7w9zcHA0bNsRvv/2mXyaKImbMmAEfHx+o1Wp4enpiwoQJ+uXff/89AgICYGFhATc3NwwaNKhCx65pGOr+o2X/bkLbv59AnQ0jgKJ8ucshIqJyEkUROQVFskyiKFba53jnnXfw2WefITY2Fk2aNEFWVhaeeuopbNu2DceOHUPPnj3Rp08fxMfHP3Q/H374IQYPHoyTJ0/iqaeeQkREBFJTUx+4fk5ODubOnYvffvsNu3fvRnx8PN566y398tmzZ2Pp0qVYvHgxoqKikJGRgTVr1lTos61evRoTJ07Em2++iZiYGLz22msYOXIkduzYAQD4+++/8dVXX+GHH37A+fPnsWbNGjRu3BgAcPjwYUyYMAEfffQR4uLisGnTJnTq1KlCx69pePn1P2rSrA3unLCBhy4V2rMboWzUT+6SiIioHHILtQievlmWY5/5KByW5pXzJ/ijjz7Ck08+qX/v6OiIpk2b6t9//PHHWL16NdauXYtx48Y9cD8jRozA0KFDAQCffvop5s+fj0OHDqFnz55lrl9YWIiFCxfC398fADBu3Dh89NFH+uXffPMN3n33XfTv3x8A8O2332LDhg0V+mxz587FiBEjMGbMGADA5MmTceDAAcydOxddu3ZFfHw83N3dERYWBjMzM/j4+KBNmzYAgPj4eFhZWeHpp5+GjY0NfH190bx58wodv6bhmbr/qHldZ2wSOgIAMg789oi1iYiIKlerVq0M3mdlZeGtt95CUFAQ7O3tYW1tjdjY2EeeqWvSpIn+tZWVFWxtbfWPwSqLpaWlPtAB0qOyitdPT09HcnKyPmABgFKpRMuWLSv02WJjYxEaGmowLzQ0FLGxsQCAZ599Frm5uahXrx5eeeUVrF69GkVFRQCAJ598Er6+vqhXrx6GDRuGpUuXIicnp0LHr2l4pu4/UioEpNTrD1z6B7aJO4DsW4CVs9xlERHRI2jMlDjzUbhsx64sVlZWBu/feustREZGYu7cuahfvz40Gg0GDRqEgoKCh+7HzMzM4L0gCNDpdBVavzIvK5eHt7c34uLisHXrVkRGRmLMmDH4/PPPsWvXLtjY2ODo0aPYuXMntmzZgunTp2PGjBmIjo422WFTeKauEoQ0a4uTOj8oRS0Q87fc5RARUTkIggBLc5UsU1U+iSAqKgojRoxA//790bhxY7i7u+PKlStVdryy2NnZwc3NDdHR0fp5Wq0WR48erdB+goKCEBUVZTAvKioKwcHB+vcajQZ9+vTB/PnzsXPnTuzfvx+nTp0CAKhUKoSFhWHOnDk4efIkrly5gu3bt/+HT2bceKauEnQMcMHXuk5ooriM/CNLoW77mtwlERFRLRUQEIBVq1ahT58+EAQB06ZNe+gZt6oyfvx4zJo1C/Xr10dgYCC++eYb3Llzp0KBdsqUKRg8eDCaN2+OsLAw/Pvvv1i1apW+N++SJUug1WrRtm1bWFpa4vfff4dGo4Gvry/WrVuHS5cuoVOnTnBwcMCGDRug0+nQsGHDqvrIsuOZukpgpzFDYp2nUCgqoU45AaSclbskIiKqpb788ks4ODigffv26NOnD8LDw9GiRYtqr2Pq1KkYOnQoXnzxRbRr1w7W1tYIDw+HhYVFuffRr18/fP3115g7dy5CQkLwww8/YPHixejSpQsAwN7eHosWLUJoaCiaNGmCrVu34t9//4WTkxPs7e2xatUqdOvWDUFBQVi4cCGWL1+OkJCQKvrE8hPE6r4AXs2uXbsGb29vJCQkwMvLq8qO89OeS/Dd8hKeVB4FOrwBhM2osmMREVHF5OXl4fLly/Dz86tQqKDKo9PpEBQUhMGDB+Pjjz+Wu5xK8bDvVXXlj9J4pq6SdAt0xSqt1AtWd2IloNPKXBEREZF8rl69ikWLFuHcuXM4deoURo8ejcuXL+P555+XuzSTxVBXSeq5WOOiQweki5ZQZF4HruyRuyQiIiLZKBQKLFmyBK1bt0ZoaChOnTqFrVu3IigoSO7STBY7SlSijkFeWHegHSJU24ATK4B6XeQuiYiISBbe3t739VylqsUzdZWoe6Ar/r57CVY8sxbIz5K5IiIiIqotGOoqUau6jjhvHoQ/izrhauingNLs0RsRERERVQKGukpkrlKgUwNXTCl6HasK2gEqtdwlERERUS3BUFfJugW6AgC2xj74eXlERERElY2hrpJ1aegCQQBu3biKjK1zgOPL5C6JiIiIagGGukrmZK1Gc297dFUeh+3emUDU14Bpj+9MRERERoChrgp0D3LDBm1bnLFoDrQbC4jV/8w9IiKiYl26dMGkSZP07+vWrYt58+Y9dBtBELBmzZr/fOzK2s/DzJgxA82aNavSY9QEDHVVoHuQKzJhif5ZU5HbKAJQKOUuiYiIaqA+ffqgZ8+eZS7bs2cPBEHAyZMnK7zf6OhovPrqq/+1PAMPClY3btxAr169KvVYVDaGuirQ0M0Gdew1yC/SYf+lW3KXQ0RENdRLL72EyMhIXLt27b5lixcvRqtWrdCkSZMK79fFxQWWlpaVUeIjubu7Q63maBDVgaGuCgiCoO8Fu/9UHHBgIXCFo2oTEVHFPP3003BxccGSJUsM5mdlZeHPP//ESy+9hNu3b2Po0KGoU6cOLC0t0bhxYyxfvvyh+7338uv58+fRqVMnWFhYIDg4GJGRkfdtM3XqVDRo0ACWlpaoV68epk2bhsLCQgDAkiVL8OGHH+LEiRMQBAGCIOhrvvfy66lTp9CtWzdoNBo4OTnh1VdfRVZWyWD9I0aMQL9+/TB37lx4eHjAyckJY8eO1R+rPHQ6HT766CN4eXlBrVajWbNm2LRpk355QUEBxo0bBw8PD1hYWMDX1xezZs0CAIiiiBkzZsDHxwdqtRqenp6YMGFCuY8tJz4mrIp0C3LFbweuot7ZH4HT/wLBzwB1Q+Uui4iI7lWQXfFtlGpAefdPqLYI0OYDggIw0zx6v+ZW5T6MSqXCiy++iCVLluC9996DIAgAgD///BNarRZDhw5FVlYWWrZsialTp8LW1hbr16/HsGHD4O/vjzZt2jzyGDqdDgMGDICbmxsOHjyI9PR0g/vvitnY2GDJkiXw9PTEqVOn8Morr8DGxgZvv/02hgwZgpiYGGzatAlbt24FANjZ2d23j+zsbISHh6Ndu3aIjo5GSkoKXn75ZYwbN84guO7YsQMeHh7YsWMHLly4gCFDhqBZs2Z45ZVXytVuX3/9Nb744gv88MMPaN68OX7++Wf07dsXp0+fRkBAAObPn4+1a9fijz/+gI+PDxISEpCQkAAA+Pvvv/HVV19hxYoVCAkJQVJSEk6cOFGu48qNoa6KtKvnBI2ZEr/ltMNQ9b9A3EYg9w6gcZC7NCIiKu1Tz4pv8+wSIKS/9Prsv8CfIwDfDsDI9SXrzGsM5Ny+f9sZ6RU61KhRo/D5559j165d6NKlCwDp0uvAgQNhZ2cHOzs7vPXWW/r1x48fj82bN+OPP/4oV6jbunUrzp49i82bN8PTU2qLTz/99L774N5//33967p16+Ktt97CihUr8Pbbb0Oj0cDa2hoqlQru7u4PPNayZcuQl5eHX3/9FVZWUrj99ttv0adPH8yePRtubm4AAAcHB3z77bdQKpUIDAxE7969sW3btnKHurlz52Lq1Kl47rnnAACzZ8/Gjh07MG/ePHz33XeIj49HQEAAOnToAEEQ4Ovrq982Pj4e7u7uCAsLg5mZGXx8fMrVjsaAl1+riIWZEqH1nXFG9MUtq/qAtgA4vVrusoiIqIYJDAxE+/bt8fPPPwMALly4gD179uCll14CAGi1Wnz88cdo3LgxHB0dYW1tjc2bNyM+Pr5c+4+NjYW3t7c+0AFAu3bt7ltv5cqVCA0Nhbu7O6ytrfH++++X+xilj9W0aVN9oAOA0NBQ6HQ6xMXF6eeFhIRAqSzpZOjh4YGUlPIN6p+RkYHr168jNNTw6lhoaChiY2MBSJd4jx8/joYNG2LChAnYsmWLfr1nn30Wubm5qFevHl555RWsXr0aRUVFFfqccuGZuirUPcgVW2OTsU7ojBG4AJxYAbQaJXdZRERU2v9dr/g2ylI3/gf2kfYh3HOeZNKp/1ZXKS+99BLGjx+P7777DosXL4a/vz86d+4MAPj888/x9ddfY968eWjcuDGsrKwwadIkFBQUVNrx9+/fj4iICHz44YcIDw+HnZ0dVqxYgS+++KLSjlGamZnhs9MFQYBOV3nDg7Vo0QKXL1/Gxo0bsXXrVgwePBhhYWH466+/4O3tjbi4OGzduhWRkZEYM2aM/kzpvXUZG1nP1O3evRt9+vSBp6dnmePYiKKI6dOnw8PDAxqNBmFhYTh//rw8xT6Grg2lzhLf324BUVAACQeB2xdlroqIiAyYW1V8UpY6J6JUSfNK30/3sP0+hsGDB0OhUGDZsmX49ddfMWrUKP39dVFRUXjmmWfwwgsvoGnTpqhXrx7OnTtX7n0HBQUhISEBN27c0M87cOCAwTr79u2Dr68v3nvvPbRq1QoBAQG4evWq4cc1N4dWq33ksU6cOIHs7JL7DaOioqBQKNCwYcNy1/wwtra28PT0RFSUYQfFqKgoBAcHG6w3ZMgQLFq0CCtXrsTff/+N1NRUAIBGo0GfPn0wf/587Ny5E/v378epU5UX0quKrKEuOzsbTZs2xXfffVfm8jlz5mD+/PlYuHAhDh48CCsrK4SHhyMvL6+aK3087nYWaFTHFimiA5Kd20szT66UtygiIqpxrK2tMWTIELz77ru4ceMGRowYoV8WEBCAyMhI7Nu3D7GxsXjttdeQnJxc7n2HhYWhQYMGGD58OE6cOIE9e/bgvffeM1gnICAA8fHxWLFiBS5evIj58+dj9WrDW4rq1q2Ly5cv4/jx47h16xby8/PvO1ZERAQsLCwwfPhwxMTEYMeOHRg/fjyGDRumv5+uMkyZMgWzZ8/GypUrERcXh3feeQfHjx/HxIkTAQBffvklli9fjrNnz+LcuXP4888/4e7uDnt7eyxZsgT/+9//EBMTg0uXLuH333+HRqMxuO/OWMka6nr16oVPPvkE/fv3v2+ZKIqYN28e3n//fTzzzDNo0qQJfv31V1y/fr3KR6auTN0CpS/pBqV0mhwnlgOVeAqZiIhqh5deegl37txBeHi4wf1v77//Plq0aIHw8HB06dIF7u7u6NevX7n3q1AosHr1auTm5qJNmzZ4+eWXMXPmTIN1+vbtizfeeAPjxo1Ds2bNsG/fPkybNs1gnYEDB6Jnz57o2rUrXFxcyhxWxdLSEps3b0Zqaipat26NQYMGoXv37vj2228r1hiPMGHCBEyePBlvvvkmGjdujE2bNmHt2rUICAgAIPXknTNnDlq1aoXWrVvjypUr2LBhAxQKBezt7bFo0SKEhoaiSZMm2Lp1K/799184OTlVao1VQRBF43gwqSAIWL16tf6LeOnSJfj7++PYsWMGI1R37twZzZo1w9dff12u/V67dg3e3t5ISEiAl5dXFVT+cCcS0vDMd1FwVmsRrR4DoSATGLkR8G1f7bUQEdVWeXl5uHz5Mvz8/GBhYSF3OWQiHva9kiN/GG3v16SkJAC473Ssm5ubfllZ8vPzkZGRoZ8yMzOrtM5HaVzHDs7WatzKVyLZ++6jXk48fFBIIiIioooy2lD3uGbNmqUft8fOzs7gpkg5KBQCugW6AAA2KbtIM0+vAQpzZauJiIiITI/RhrriwQvvvdkzOTn5oQMbvvvuu0hPT9dPZ86cqdI6y6P4vrrFCR4Q7byB/AwgboPMVREREZEpMdpQ5+fnB3d3d2zbtk0/LyMjAwcPHixzUMRiarUatra2+snGxqY6yn2ojgHOMFcqcPVOHu7UHyDNjP1X3qKIiIjIpMg6+HBWVhYuXLigf1/cFdrR0RE+Pj6YNGkSPvnkEwQEBMDPzw/Tpk2Dp6dnhXr1GAMrtQpP+Dth97mb2GT+JJ5/7gmgfpjcZREREZEJkTXUHT58GF27dtW/nzx5MgBg+PDhWLJkCd5++21kZ2fj1VdfRVpaGjp06IBNmzbVyJ5L3QNdsfvcTfxzRYXnw5+SuxwiolqpMp9KQGRs3yejGdKkqsg9pEmxhNQcdJyzA0qFgKPvPwk7SzNpvDqF0V4BJyIyGTqdDufPn4dSqYSLiwvMzc31T2QgqihRFFFQUICbN29Cq9UiICAAinv+nsuRP/js12ri7WiJBm7WOJechV3nb6Jv2lLg6K/A0OWAeyO5yyMiMmkKhQJ+fn64ceMGrl9/jGe9EpXB0tISPj4+9wU6uTDUVaNugW44l5yF7bHJ6CucANLjgVN/MtQREVUDc3Nz+Pj4oKio6JHPKCV6FKVSCZVKZVRnfBnqqlH3IFcs3HURO8/dRNHwcVCF9Aca8v46IqLqIggCzMzMYGZmJncpRJXOOM4X1hLNve1hb2mGtJxCHBMbAI0GAmYaucsiIiIiE8BQV41USgW6NJCeLrEtNkXmaoiIiMiUMNRVs25B0tMltp9NBrSFwO65wMKOQF6GzJURERFRTcZQV806B7hAqRBwLjkLCWkFwMk/gKSTQOxauUsjIiKiGoyhrprZWZqhla8DAGDb2RSg6XPSghMrZKyKiIiIajqGOhl0D3IFcDfUNRkMQACu7AHS4uUtjIiIiGoshjoZdAuU7qs7eCkVWRbugF8nacGJlTJWRURERDUZQ50M/F2s4OtkiQKtDnvP3wKaDpUWnFgOmPZT24iIiKiKMNTJQBAEdAuULsFuP5sMBPUBzCyB1IvAtcMyV0dEREQ1EUOdTML0Q5vchM7MCgjqKy04sVzGqoiIiKimYqiTSeu6jrBWq3ArKx+nEtNLesHG/A0U5ctbHBEREdU4DHUyMVcp0KmBM4C7vWD9OgE2nkBeGnBus7zFERERUY3DUCej4l6w288mAwrl3eFNABxfJmNVREREVBMx1MmoS0MXCAIQk5iBpPQ8oNnz0oLzW4CMG/IWR0RERDUKQ52MnK3VaOZtDwDYEZcCuDQEvJ8AbDyAO5flLY6IiIhqFIY6mXW/O7TJttgUacbgX4BJJwHf9jJWRURERDUNQ53Miu+ri7pwC3mFWsDGXbq/joiIiKgCGOpkFuRhAw87C+QWarH/4u2SBdpCIPGIfIURERFRjcJQJ7PST5fYdjZZmpmVAnwVAvzcE8hJlbE6IiIiqikY6oxA96C7jwyLTYEoioC1K2DtBljYATfjZK6OiIiIagKV3AUQ0N7fGRZmClxPz8PZpEwEedgCQ34HbD0BpZnc5REREVENwDN1RsDCTIlQf+npEtvP3u0F6+DLQEdERETlxlBnJLoFFQ9tkmy4QKcFUmJlqIiIiIhqEoY6I1HcWeJYQhpuZ+VLM9MTga+bAou6A/mZMlZHRERExo6hzkh42GkQ4mkLUQR2xt2UZtp6Aio1UJgNxKySt0AiIiIyagx1RqT46RJbziRJMwQBaPGi9ProLzJVRURERDUBQ50R6dXYA4DUWUJ/Cbbp84BCJQ1EnBQjY3VERERkzBjqjEiQhy2aeNmhUCti9bFEaaa1C9DwKen1sd/kK46IiIiMGkOdkRncyhsAsDI6QRqIGABaDJd+nlgBFObJVBkREREZM4Y6I9O3mScszBQ4n5KFYwlp0kz/roCdN5CXBsT+K2d5REREZKQY6oyMrYUZnrp7b93KQwnSTIUSaP6C9JodJoiIiKgMDHVGaMjdS7DrTl5Hdn6RNLP5CwAE4Moe4PZF+YojIiIio8RQZ4Ta+DnCz9kK2QVarD95Q5pp5wXUD5Nes8MEERER3YOhzggJglDSYeJwQsmC4jHrji8DtIUyVEZERETGiqHOSA1sWQdKhYAjV+/gQsrdR4Q17AVYuQBZycD5LfIWSEREREaFoc5IudpYoGtD6QkTK6Pvnq1TmgEd3gC6TQPqtJSxOiIiIjI2DHVGbEhr6RLsqqOJKCjSSTPbjQU6vQXYuMtYGRERERkbhjoj1rWhC1xs1LidXYDtZ5PlLoeIiIiMGEOdEVMpFRjU0gsAsCK6VIcJbSEQswpY9Sqg08lUHRERERkThjojV9wLdve5m7iRnivN1BUB/04CTq4ELu+UrTYiIiIyHgx1Rs7P2Qpt/ByhE4G/Dl+TZppp7t5bNwVwbihvgURERGQUGOpqgOInTPxxJAE6nSjN7DIV6PY+YFdHxsqIiIjIWDDU1QBPNfaAjVqFhNRc7L90W+5yiIiIyAgx1NUAGnMl+jbzBFBqzDoA0BYBcRuBdZMBUZSpOiIiIjIGDHU1RPGYdZtOJyE95+4jwgpzgL9GAYf/ByQckrE6IiIikhtDXQ3RuI4dAt1tUFCkw5rjidJMC1sgZID0+uiv8hVHREREsmOoqyEEQcBzd8/WrYhOgFh8ubXFi9LP06uAvAyZqiMiIiK5MdTVIP2a14G5SoHYGxmISbwb4LzbSMOaFOYAMX/JWyARERHJhqGuBrG3NEd4iPTM15WH46WZggC0HC695iVYIiKiWouhroYpHrPun+PXkVeolWY2eQ5QmAHXjwE3TspYHREREcnFqEOdVqvFtGnT4OfnB41GA39/f3z88ccl95PVQu39neDloEFmXhE2xtyQZlo5AUFPS695to6IiKhWMupQN3v2bCxYsADffvstYmNjMXv2bMyZMwfffPON3KXJRqEQ9M+DXXGo1Jh1xR0mTv4BFObKUBkRERHJyahD3b59+/DMM8+gd+/eqFu3LgYNGoQePXrg0KHaPSbboJZeEATg4OVUXLmVLc306wLY+wD56cCZtXKWR0RERDIw6lDXvn17bNu2DefOnQMAnDhxAnv37kWvXr1krkxenvYadApwAQD8cfju2TqFAmh+92zd0V9kqoyIiIjkYtSh7p133sFzzz2HwMBAmJmZoXnz5pg0aRIiIiIeuE1+fj4yMjL0U2ZmZjVWXH2KnzDx15FrKNLqpJnNngcEBXA1Crh1QcbqiIiIqLoZdaj7448/sHTpUixbtgxHjx7FL7/8grlz5+KXXx58JmrWrFmws7PTT8HBwdVYcfUJC3KDo5U5UjLzsTPupjTTrg4Q0EPqCZt4WN4CiYiIqFoJohF3JfX29sY777yDsWPH6ud98skn+P3333H27Nkyt8nPz0d+fr7+fWJiIoKDg5GQkAAvL68qr7k6fbLuDH7aexlPBrth0YutpJm3LwJqW8DaRd7iiIiIarFr167B29u7WvOHUZ+py8nJgUJhWKJSqYROp3vgNmq1Gra2tvrJxsamqsuUTfEl2O1nU5CSmSfNdPJnoCMiIqqFjDrU9enTBzNnzsT69etx5coVrF69Gl9++SX69+8vd2lGIcDNBs197KHViVh1NPH+FTJuVH9RREREJAujDnXffPMNBg0ahDFjxiAoKAhvvfUWXnvtNXz88cdyl2Y0ip8w8Ud0QsmgzEX5wOLewFfBQFrCQ7YmIiIiU2HUoc7Gxgbz5s3D1atXkZubi4sXL+KTTz6Bubm53KUZjaebesLSXIlLt7IRfeWONFOllp4JCwDx++UrjoiIiKqNUYc6ejRrtQpPN/EAAKyMLnVWrtdsYFIM0GSwTJURERFRdWKoMwHFHSY2nLqBzLxCaaZbiDTECREREdUKDHUmoIWPA/xdrJBbqMW/J8roHHHtMBB/sPoLIyIiomrDUGcCBEHAc619AAAro+MNF8b8DfwUBqwZLXWgICIiIpPEUGci+reoA5VCwIlr6TiblFGyoH4YYO0KpF4Eor6Wr0AiIiKqUgx1JsLZWo2wIDcA93SYsLADwj+VXu+eC6RekqE6IiIiqmoMdSakuMPE6mOJyC/SlixoNBDw6wxo84ENUwDjfTIcERERPSaGOhPSqYEL3G0tkJZTiC2nk0sWCALQ+0tAaQ5c2Aqc+Ue+IomIiKhKMNSZEKVCwLOtpIcG/3H4nidJONcHQidJrze9C+RnVm9xREREVKUY6kzMsy2lS7B7L9zCtTs5hgs7TgYc6gKZ14Eds6q/OCIiIqoyDHUmxsfJEu39nSCKwJ+HrxkuNNMAT30hvT64EEg6Vf0FEhERUZVgqDNBxR0m/jycAK3unk4RAWFA8DOAqAXWTQZ0OhkqJCIiosrGUGeCwkPcYacxw/X0POy9cOv+FXp+BphbA9cOAcd+q/4CiYiIqNIx1JkgCzMl+jXzBAD8tv/q/SvYegJd/096vf0TPmmCiIjIBDDUmahh7XyhEICtsck4cjX1/hXavAa0HAEMXwuo1NVeHxEREVUuhjoTVd/VBoNbSffWfbrhLMR7BxxWqoA+XwOuQTJUR0RERJWNoc6EvfFkA2jMlDhy9Q42n056+MrJpwFtYfUURkRERJWOoc6Eudla4JWOfgCA2ZviUKh9QE/XnbOBhR2AAwuqsToiIiKqTAx1Ju7Vzv5wsjLH5VvZWH4ovuyV7OoAog64FVe9xREREVGlYagzcdZqFSaFBQAAvt56Hpl5ZVxibfo8MGoL8Mx31VwdERERVRaGulrguTY+qOdshdvZBfhh16X7V1AoAJ+21V8YERERVRqGulrATKnA2z0DAQA/7b2EpPS8B6+ccR1Y/xZQkPPgdYiIiMjoMNTVEuEhbmjl64C8Qh2+ijxX9kqiCPw2AIheBOyZW70FEhER0X/CUFdLCIKAd5+SxqT780gC4pIyy1oJ6Pa+9DpqPnCTHSeIiIhqCoa6WqSlrwOeauwOnQh8tjG27JUCewMNegK6QmD9m9LZOyIiIjJ6DHW1zJTwQKgUAnbE3cS+C7fuX0EQgF5zAJUGuLIHOPlH9RdJREREFcZQV8v4OVshoq0PAODTjbHQ6co4E+fgC3SeIr3e8h6Qe6caKyQiIqLHwVBXC03oHgBrtQoxiRlYe+J62Su1Gw84NwSybwLbPq7eAomIiKjCGOpqISdrNUZ38QcAfL45DnmF2vtXUpkDvb+QXh/+Gbh2pBorJCIioopiqKulRoX6wd3WAolpufht/9WyV/LrCDR5DoAIrH8D0JUR/oiIiMgoMNTVUhpzJSb3aAAA+Gb7eaTlFJS9Yo9PAAs74MYJYMMU4NaFaqySiIiIyouhrhYb2MILge42yMgrwnc7HhDWrF2AsBnS68P/A5YO5DAnRERERoihrhZTKgS800t6fNgv+64iIfUBjwZrORIY9DNQP0y6HCsI0vyifOC3/sCBhdJrIiIikg1DXS3XuYELQus7oUCrw9wtD3iChCAAjQYCL/wNdHmnZP7F7dIUNQ9QmJXMZ8AjIiKqdgx1tZwgCHi3l/T4sH+OX8fJa2mP2qDkdZ1WQM/ZQIfJgOLuV0lbBHzdDPh9IHB8GZCXXiV1ExERkSGV3AWQ/BrVsUP/5nWw+lgiPt0Qi+WvPAGhdHh7EGsX4InXDeclHgEyr0vTha2A0hwI6AE0GiA9fszcqmo+BBERUS3HM3UEAHizRwOYqxQ4cCkVO+NuPv6OfNoC4w4DXf4PcG4AaAuAs+uAv0YBn9cH/hwJxK6TetGmJQBZKUB+ZuV9ECIiolpKEEXT7sp47do1eHt7IyEhAV5eXnKXY9RmbYjFD7svoYGbNTZM6AiV8j9mflEEkk8Dp1cBMX8Dd66UvZ5HU+C13SXvF3QAspKAiD8Bz+bSvJN/AtE/SYMiqyykM4AqtfTaTAOYWUpnAc2tSl5rHIEGPUr2m3EdEBTSfJX5f/tsREREDyFH/uDlV9Ib06U+VkQn4FxyFv4+eg1DWvv8tx0KAuDeSJq6TQOuHwViVgFn1wM5t6UOFdp8QKk23C7nlvR4MqFUqEy7CiQcqNjx7X2ABqdK3i8fCtw4Djz/B9AgXJoX8zcQ+cHdIGgJ2HgADn6Ao1/JTztvhkAiIjJ6DHWkZ2dphvHd6uOT9bH4Yss59GnqCUvzSvqKCAJQp6U0hc8smS+KgK7IcN2RG4HCXClQFQvuJ13OLQ6CRcVTnjQVZEtTYU7Ja2vX+2sQFFKAK5aTCqQnlFrpWBm1KwA7r5KQ59wAaDf2cVuCiIioSvDyKxnIL9Ii7MtdSEjNxZtPNsD47gFyl1S5ir/uxR1Bsm8DaVdKgmD6Nekycepl4M5l6WdRruE+HOsBE0qFv2VDpHDY6zMptAJA7h3pp8ahKj8NEREZKV5+JdmpVUpMCQ/EhOXHsHDXRTzXxgcuNupHb1hT3Nur18pJmh5EFIGsZCD1UknQK32mDwCuRUuXk0uP1Xf0NyByGmDjCbgGAW7BgGuI9NO5IWBmUXmfiYiICAx1VIanG3vgpz2XcPJaOuZvO4+P+zWSuyT5CAJg4y5Nvu3LXueFVVLYc6pfMi/ntvSzeHiXi9tK7VMBOPqXBD3XIMAtBHCoCyiUVfZRiIjItPHyK5Vp/8XbGLroAJQKAVve6AR/F2u5S6p58jKAlFgg5Yw0JZ8BUk6XXJq9V72uwItrSt5fiZKCorXr/WcYiYjIqPHyKxmNdv5O6B7oim1nUzBn01n8MKyV3CXVPBa20rh9Pm1L5hVfzk0+XSronQFungWcS92/mJ8JLHlKev32ZcDSUXod+680tp+9L2DvLfXMNb/ncjAREdVKDHX0QO/0CsSOuBRsPp2Mw1dS0aquo9wl1XylL+fW714yX6eVeu4Wy0qRztIV5pYEOgA4/LP0vN3SLJ2lgGfvI4U8e59Sr70BC7uq/UxERMV0OmlEA1ErjSNafJUhP1MascBMU/JkIW3R3VtV7l4wNLhweO+8Usus3QDl3XuY8zKAgizpXmeN/d0atED2Lem1/iqHcP97cyuTu7+ZoY4eKMDNBkNae2P5oQR8uiEWf49uX77Hh1HFKZSA2qbkvZM/MP4IoC00XM+3vTTwcloCkBYPFGRK4/rl3AKulzEcCwC0HS31zAWkHr7HlwHujQGvNiXP7CWiqpF9S/rHmZVLSYDITAJuX7g7RFNBqZ95D5hXIA22HvZByX4jpwNJp4BOU0ru972wDdjy/t0VSv2uvi/YwPD9a7tL1tk6A7i0E+jwBhD8jDQvIRpY9YoU1HRaKbTpJ53h+9Lha8qlko5okR8Ah/8HdH4H6PquNO/2eeD7JyrepmMOAq6B0uv93wG7PgNavwz0/kKal5MKfNHg0fvp/yPQdEjFj2/EGOrood4Ia4A1x67jaHwa/jl+Hf2a15G7pNpFaWb4vtOUkteiCOSlSeEuLUEaby8tXpqKX+feAWzcSra5cwXY8BagtgWmXi2Zf3q1FBbdGkln+RjeyVTpdEBhthRASg85dHG79P9L/bCSs9vntwLnNt0d8iir5GdhjhS0tAWlAlihNIamYz1gzP6S/S5+CrgVBwxfB/h1lObF/iv9f1gRGgfDUJd4FLiyB2gWUTIvP0O6naOiSv//nnpZ+gdiZnLJPG2B1Bmsou4dgxSAQegDSg0y/7AQ+qD3kP5BrFAZDlZfvN+yzvKZOIY6eihXWwu80qke5m87j0krj2NTTBLeCm+A+q42j96YqpYgSL/oNQ7So9bKkp9peElDoQICwqUzBqXP0m37GEi9KL1W20m9cd0bSSHPvbHUQ9dMU3WfhWquonwgP0v6PhbfKqDTSkP9iCLg3aakV/fNOOksFcS738vSP3H/fF0RYOUM+JQ6mxP1tXTm64kx0n2rAHDyDyl86QckLzUwefHrwruDlBdmS9v4tANGbSrZ7+rXpftdX98rfecB4MYxIHpRxdqj8J5xLc0spKfmlA44lk7SIOZK81KPPFRL66nM7/60KPVabXgmHwBCJwHNXwC8WpfM8+0AvLgWBiHm3mBz3/t76u/whhQUXUqd6XJvBIzaLP3+KA5R+qnUe0FpOK/4MisgnUV7+kvDY7kGAR88oONYeXV+W5pKs3Z58H5FEfeNV2pCGOrokcZ08UdSei7+OnINm04nYcuZJAxs4YVJTzZAHXv+oTdq9/4hcGkIRPxhOE+nk/7AmVsCKWeB/HQgfp80FRMUgFOAYdDzasXBlR+XTnf3ySh3L62VDh/Fl9zsvKRhbgDpclLsWukPZfMXSvZz8g/pmcbFf1SVpf/Ymkl/XJVmhn+E7bxL/mBri6Qe2YDhPwxi/5U67+RnljFlGL7XFkjbNB8GPPOt9LooH/j57qP43k0E1Hd7z0d9DRxfWrG2Cgg3/M7umCUNCN50aEmoSzolPfKvIgqyDd97tQby0g3Hm/RpD3R6u+S50ubWd39aSmFLaV4SvIpfq+75nVj6udbFGg2Qpv8iIOz+edYugHXn/7Zfz2b3z7OwMwzWj8NYApQgGE8tVYChjh7JwkyJOYOa4uWO9TB3cxy2nEnGn0eu4Z/j1xHxhA/Gdq0PZ2sTGqC4tlEogH7fSa+LCoBb54DkGOkPZXIMkBQj3bN3K06aiv94DvoZaDRQen1uC3BwAeDXSfqXfrGz6wELe+nMhJWzFAKNYSy+wjzpBm1BAdh6lMy/uOPuDd150hmXwty74av4Utvdy2zF9ztpC6Rw4d9V2v76cWDTO1IgG/hTyX4XPyWdpSoObMVB6GG6/B/QZar0OvMG8O9E6b6s0qHu8GLD8F0erV8Bes+VXufeAX7oJAWSaTdL1jm+DIjbULH9FuWXvC4eixEw/ANq4wG4BAIo/sNa+ifuny8oDXuFA0DzCEDUGZ45btgLsPW8e8bLooyfd1+bW0v/0DG3kuaV9lwZYbNuqDQR1RAMdVRuDdxs8OOLrXA0/g4+3xSH/ZduY3HUFfwRnYCXOtbDKx39YGNh9ugdkfFSmUtn49wbAU2fk+aJonTJ7N6g596kZLtbcdI9SZpSPXW1hcCK5+85gCD1ULN0Lgl6lo7Se5VaumzXbKh0XxIAxB8ATv0JuAYDrV8q2c1fo6T933fT9t332nwpuBXllvzs+y0Q3FfaPm4D8NdI6XLVyPUl+/37pZKBo8vLs0VJqCvIBuL3Gw5EDUjhKefWA3YglBFE1CU9+QApDDd86v4zowFPSs8j1hbe0w53J4M2uruOXen7YkUpaAnKuzfjm0uz63WV/vuobaUQZDCVMc/cWjpLWMzMAphw9P6P2n2aNP0XxTfDl+bb/sGDgxPVIgx1VGEtfByw7JW22HvhFuZsisOpROnJE7/tv4IxXepjWDtfWJgZwdkYqhyCIJ3NsvWQQkRZAsKlEGBbKjAU5gDebaXefzm3pU4dEKWAk3tH6vlWFt92JaHuZhwQ/ZMUaEqHujNrpZBSEaUvt5lp7t4DdM9lGM8W0pk6MwvpMprZ3bM8pe99UpqVvFeaG16WcgkEBv96/zAyz/4i9RxUmhsGN5VF2XXcy9YTGLr8/vkdJ1esDe5l7Qq8efb++W1f/W/7JSJZGP0TJRITEzF16lRs3LgROTk5qF+/PhYvXoxWrco3GC6fKFG1RFHExpgkzN0Sh0s3pT+aHnYWmNg9AINaekGl5JAZdJe2CMhNlQJecdDLuSXdL5Z9SwppglIamqB4uILrx4G4jdIluMaDSvZ1aJEUhAxu2L57g7aglMKTQTDTSKG0+B5DUTTp+2qISH5y5A+jDnV37txB8+bN0bVrV4wePRouLi44f/48/P394e/vX659MNRVjyKtDquOJuKrredwIz0PAFDPxQpvPtkQvRq5Q6HgH1AiIqo9akyoS0hIgCAI+iIPHTqEZcuWITg4GK++Wnmn7d955x1ERUVhz549j70PhrrqlVeoxe8HruL7nReRmi3dDN64jh2mhDdExwBnDl5MRES1ghz547GujT3//PPYsWMHACApKQlPPvkkDh06hPfeew8fffRRpRW3du1atGrVCs8++yxcXV3RvHlzLFr08DGD8vPzkZGRoZ8yMzMrrR56NAszJV7uWA+7pnTBxO4BsDJX4lRiOl78+RCGLjqAo/H/cUwiIiIiKtNjhbqYmBi0adMGAPDHH3+gUaNG2LdvH5YuXYolS5ZUWnGXLl3CggULEBAQgM2bN2P06NGYMGECfvnllwduM2vWLNjZ2emn4ODgSquHys/GwgxvPNkAu9/uilGhfjBXKnDgUioGfL8PL/9yGLE3MuQukYiIyKQ81uVXa2trxMTEoG7duujbty9CQ0MxdepUxMfHo2HDhsjNzX30TsrB3NwcrVq1wr59JeMwTZgwAdHR0di/f3+Z2+Tn5yM/v2S8pMTERAQHB/Pyq8wS03Lx9dZz+OvINejufuO6BbpidBd/tK7r+PCNiYiIapgac/k1JCQECxcuxJ49exAZGYmePXsCAK5fvw4nJ6dKK87Dw+O+M21BQUGIj49/4DZqtRq2trb6ycaGj7MyBnXsNZgzqCm2vNEJvZt4QBCA7WdT8OzC/Xh24T7sOJsCI+6zQ0REZPQeK9TNnj0bP/zwA7p06YKhQ4eiaVPp8TJr167VX5atDKGhoYiLizOYd+7cOfj6+lbaMah61Xe1wXfPt8D2N7vgudbeMFMKiL5yByOXROOp+Xux9sR1aHUMd0RERBX12EOaaLVaZGRkwMGhZITzK1euwNLSEq6urpVSXHR0NNq3b48PP/wQgwcPxqFDh/DKK6/gxx9/RERERLn2wd6vxi0pPQ8/7bmEZYfikVOgBQD4OlnitU7+GNiyDtQqDmJMREQ1T40Z0iQ3NxeiKMLS0hIAcPXqVaxevRpBQUEIDw+v1ALXrVuHd999F+fPn4efnx8mT56MV155pdzbM9TVDHeyC/Dr/qtYsu8y7uRITwpwtVHj5Y5+eL6tL6zVfPgJERHVHDUm1PXo0QMDBgzA66+/jrS0NAQGBsLMzAy3bt3Cl19+idGjR1dFrY+Foa5mySkowvJDCfhpzyX9IMZ2GjMMb+eLEaF+cLQyl7lCIiKiR6sxHSWOHj2Kjh07AgD++usvuLm54erVq/j1118xf/78Si2QahdLcxVe6uCHXVO6Ys7AJqjnbIX03ELM334B7T/bhhlrTyMxrXJ6VxMREZmSxwp1OTk5+l6lW7ZswYABA6BQKPDEE0/g6tWrlVog1U7mKgUGt/ZG5OTO+D6iBRrVsUVeoQ5L9l1B5zk78NafJ3AhJUvuMomIiIzGY4W6+vXrY82aNUhISMDmzZvRo0cPAEBKSgpsbW0rtUCq3ZQKAU819sC/4zrgt5faoF09JxTpRPx15Bqe/GoXXv/tCFYfu4YDl24j/nYOCop0cpdMREQki8e6+3z69Ol4/vnn8cYbb6Bbt25o164dAOmsXfPmzSu1QCIAEAQBHQNc0DHABcfi7+D7nRcReSYZm04nYdPppFLrAc7WanjaWcDTXgMPOw087S30Pz3tNXCxVkOh4DNoiYjItDz2kCZJSUm4ceMGmjZtCoVCOuF36NAh2NraIjAwsFKL/C/YUcJ0nU/OxG8HruJCShaup+Xienpeuc7UqRQC3GwtUMdeA4+7ga/O3Z9P+Duxpy0REf1nNab3a2nXrl0DAKMNTAx1tYcoikjNLsD1tDxcT8/FjbRc3EjPQ+LdnzfScpGcmf/QwY097Szw60ttUN+VTyIhIqLHJ0f+eKxTEjqdDp988gm++OILZGVJN6vb2NjgzTffxHvvvac/c0dUnQRBgJO1Gk7WajT2sitznSKtDimZ+biRnovraXn6n9fTcnHyWjqup+dh0ML9WDyiNZr7OJS5DyIiImP0WKHuvffew//+9z989tlnCA0NBQDs3bsXM2bMQF5eHmbOnFmpRRJVFpVSAU97DTztNWh5z9PmUrMLMHJJNE4kpOH5RQex4IUW6NKwcp6OQkREVNUe6/Krp6cnFi5ciL59+xrM/+effzBmzBgkJiZWWoH/FS+/UkVk5xdh9NKj2H3uJlQKAXOfbYp+zevIXRYREdUwNWbw4dTU1DI7QwQGBiI1NfU/F0UkFyu1Cj+92Ap9m3qiSCdi0srj+HnvZbnLIiIieqTHCnVNmzbFt99+e9/8b7/9Fk2aNPnPRRHJyVylwLwhzTCifV0AwEfrzmDOprP4j32KiIiIqtRj3VM3Z84c9O7dG1u3btWPUbd//34kJCRgw4YNlVogkRwUCgEf9AmGi40an2+Ow/c7L+J2VgFm9m8ElZIdgYiIyPg81l+nzp0749y5c+jfvz/S0tKQlpaGAQMG4PTp0/jtt98qu0YiWQiCgLFd6+OzAY2hEICVhxMweulR5BVq5S6NiIjoPv95nLrSTpw4gRYtWkCrNZ4/euwoQZVh8+kkjF9+DAVFOrSp64hFw1vBTmMmd1lERGSkakxHCaLaJjzEHb+OagMbtQqHrqRiyA/7kZKRJ3dZREREegx1ROX0RD0nrHytHVxs1DiblIkBC/bh8q1sucsiIiICwFBHVCHBnrb4+/X2qOtkiWt3cjFowT7EJKbLXRYREVHFer8OGDDgocvT0tL+Sy1ENYKPkyX+fL09Riw+hNPXM/Dcjwfw47CWaF/fWe7SiIioFqvQmTo7O7uHTr6+vnjxxRerqlYio+Fio8aKV59Ae38nZOUXYcTiaGw4dUPusoiIqBar1N6vxoi9X6kq5Rdp8cbK49hwKgmCAHz0TCMMe8L30RsSEZFJY+9XohpGrVLim6EtENHWB6IITFsTg68iz/HpE0REVO0Y6oj+I6VCwCf9GmFi9wAAwNfbzmPaPzHQ6hjsiIio+jDUEVUCQRDwxpMN8PEzIRAE4PcD8Zj8x3HoGOyIiKiaMNQRVaJh7erim6HNYaYU8M/x65i1MVbukoiIqJZgqCOqZE838cTcZ5sCABbtuYzFUZdlroiIiGoDhjqiKvBMszp4u2dDAMBH685gUwyHOyEioqrFUEdURUZ39scLT0i9YieuOI4jV1PlLomIiEwYQx1RFREEATP6hCAsyBX5RTq89MthXLyZJXdZRERkohjqiKqQSqnA/KHN0dTLDmk5hRix+BBuZubLXRYREZkghjqiKmZprsL/RrSGj6MlElJz8dIv0cgpKJK7LCIiMjEMdUTVwNlajV9GtYGDpRlOXkvH+GXHUKTVyV0WERGZEIY6omri52yFn4a3hlqlwLazKZi+9jQfJ0ZERJWGoY6oGrX0dcDXzzWHIADLDsbj+50X5S6JiIhMBEMdUTXr2cgdM/qEAAA+3xyH1ceuyVwRERGZAoY6IhkMb18Xr3aqBwB4+6+TiLpwS+aKiIiopmOoI5LJOz0D8XQTDxRqRbz+2xGcTcqo0uMVaXXYc/4mLt/KrtLjEBGRPFRyF0BUWykUAuY+2xQpmfk4dDkVI36Oxuqx7eFhp6nU46RmF2D5oXgsPXAV19PzYGuhwtY3O8PVxqJSj0NERPLimToiGVmYKbFoWCvUd7VGUkYeRvwcjYy8wkrZ96lr6XjrzxN4YtY2fL45DtfT8wAAGXlF+OjfM5VyDCIiMh4MdUQys7M0w5KRreFio0ZcciZG/34EBUWPN4ZdQZEO/xxPxIDvo9Dn273468g1FBTp0MTLDl882xR/j24PhQCsO3kDO+JSKvmTEBGRnBjqiIyAl4MlFo9oDStzJaIu3MbUv09WaAy7lIw8zNt6DqGzt2PiiuM4Gp8GM6WAZ5p5YtWY9vhnbCgGtvRCS18HvNTBDwDw/uoYPtmCiMiE8J46IiPRqI4dvn+hJUYticbqY4nwtLfAlPDAB64viiKOxqfhl31XsDHmBgq1Ugh0sVEjoq0Pnm/rU+Z9c2882QAbTiUhMS0XX0Wew3u9g6vsMxERUfVhqCMyIp0buGDWgMZ4+6+T+G7HRXjaaxDR1tdgnbxCLf49cR2/7L+CmMSSHrMtfR0wvH1d9Axxh7nqwSfhLc1V+KRfI4xcEo2fo67gmWZ10KiOXZV9JiIiqh4MdURGZnArb1xPy8W8recxbU0M3G0t0D3IDdfTcvH7gatYEZ2A1OwCAIC5SoG+TT0xon3dCgWzroGueLqJB9advIF3V53CmrGhUCqEqvpIRERUDRjqiIzQxO4BuJ6Wiz8OX8O4ZccQWt8Z288mQ3f3NjtPOwu80M4Xz7X2gaOV+WMdY3qfYOw+dxOnEtOxZN8V/b12RERUM7GjBJEREgQBM/s3RqcGLsgt1GJrrBTonqjniIUvtMDut7tiTJf6jx3oAMDVxgLv9AoCAHyxJQ6JabmVVT4REcmAZ+qIjJSZUoHvI1rgg39OQ2OuwAtP+CLQ3bZSj/Fca2+sPnYN0VfuYPqaGPw0vBUEgZdhiYhqIp6pIzJi1moVvhjcFJ/0a1zpgQ6Qnmoxa0BjmCkFbDubgo0xSZV+DCIiqh4MdUS1XH1XG4zu7A8AmLH2dKU90YKIiKoXQx0RYUzX+qjnbIWUzHzM2XRW7nKIiOgxMNQRESzMlJjZvzEA4PcD8ThyNVXmioiIqKIY6ogIANDO3wnPtvQCALy76tRjP3+WiIjkwVBHRHr/91QQHK3McS45C4v2XJK7HCIiqoAaFeo+++wzCIKASZMmyV0KkUlysDLH9KelZ8F+ve08Lt/KlrkiIiIqrxoT6qKjo/HDDz+gSZMmcpdCZNKeaeaJjgHOKCjS4b3VpyCKotwlERFROdSIUJeVlYWIiAgsWrQIDg4OcpdDZNIEQcAn/RpBrVJg38XbWHU0Ue6SiIioHGpEqBs7dix69+6NsLAwuUshqhV8nawwKawBAOCT9WeQml0gc0VERPQoRh/qVqxYgaNHj2LWrFnlWj8/Px8ZGRn6KTMzs4orJDJNL3f0Q6C7De7kFOKT9WfkLoeIiB7BqENdQkICJk6ciKVLl8LCwqJc28yaNQt2dnb6KTg4uIqrJDJNZkoFZg1oDEEAVh1NRNSFW3KXREREDyGIRnwX9Jo1a9C/f38olUr9PK1WC0EQoFAokJ+fb7AMkM7U5efn698nJiYiODgYCQkJ8PLyqrbaiUzFB//E4Jf9V1HXyRKbJnWChZny0RsREdVy165dg7e3d7XmD1W1HOUxde/eHadOnTKYN3LkSAQGBmLq1Kn3BToAUKvVUKvV+vcZGRlVXieRKXsrvCE2n07Glds5+Gb7eUwJD5S7JCIiKoNRX361sbFBo0aNDCYrKys4OTmhUaNGcpdHVCvYWJhhRt8QAMAPuy4hLon3qRIRGSOjDnVEZBx6NnJHj2A3FOlEvLvqJHQ6o71rg4io1jLqy69l2blzp9wlENVKHz4Tgn0Xb+NofBqWHorHsCd85S6JiIhK4Zk6IioXDzsN3uohjV03Z+NZJGfkyVwRERGVxlBHROU2rF1dNPW2R2Z+ET7897Tc5RARUSkMdURUbkqFgM8GNIZSIWDDqSRsPZMsd0lERHQXQx0RVUiQhy1e7ugHAHhn1UnEJKbLXBEREQEMdUT0GCZ1b4AQT1vcyirAkB/2Y8/5m3KXRERU6zHUEVGFacyVWP7qE2jv74TsAi1GLo7GmmOJcpdFRFSrMdQR0WOxtTDDkpFt0LepJ4p0IiatPI4fdl2EET95kIjIpDHUEdFjM1cpMG9IM7xy9x67WRvP4qN1Zzg4MRGRDBjqiOg/USgEvNc7GO/3DgIALI66gvHLjyGvUCtzZUREtQtDHRFVipc71sP8oc1hrlRg/akbGP7zIaTnFspdFhFRrcFQR0SVpm9TTywZ1Ro2ahUOXk7F4IX7kZTOJ08QEVUHhjoiqlTt/Z2x8rV2cLVRIy45EwO+j8K55Ey5yyIiMnkMdURU6YI9bbFqTHv4u1jhenoeBi3Yh+grqXKXRURk0hjqiKhKeDlY4q/X26OlrwMy8ooQ8dNBbIq5IXdZREQmi6GOiKqMg5U5lr7cFk8Gu6GgSIfRS4/i1/1X5C6LiMgkMdQRUZWyMFNi4QstEdHWB6IITP/nNOZsOstBiomIKhlDHRFVOaVCwCf9GuHNJxsAAL7feRFv/XkShVqdzJUREZkOhjoiqhaCIGB89wDMGdgESoWAv49ew8u/HEZ2fpHcpRERmQSGOiKqVoNbe+OnF1tBY6bErnM3MXTRAdzKype7LCKiGo+hjoiqXddAVyx/9Qk4Wpnj5LV0DFywD1duZctdFhFRjcZQR0SyaOZtj79Ht4ePoyWu3s7BoIX7EX87R+6yiIhqLIY6IpKNn7MV/h7dHoHuNriVlY9hPx/EzUxeiiUiehwMdUQkKxcbNX4d1QbejhpcvZ2DEYsPITOvUO6yiIhqHIY6IpKdq60Ffh3VFk5W5jh9PQOv/34E+UVaucsiIqpRGOqIyCj4OVthycg2sDJXIurCbUz+4wS0Og5QTERUXgx1RGQ0GnvZ4YdhrWCmFLD+5A18+O9pPnmCiKicGOqIyKh0CHDGl4ObQRCAX/dfxXc7LshdEhFRjcBQR0RGp09TT3zwdDAAYO6Wc1h+KF7mioiIjB9DHREZpRGhfhjb1R8A8N7qU9h8OknmioiIjBtDHREZrbd6NMSQVt7QicD45cdw8NJtuUsiIjJaDHVEZLQEQcDM/o0QFuSGgiIdXv71MGJvZMhdFhGRUWKoIyKjplIq8O3zzdG6rgMy84ow/OdDSEjl48SIiO7FUEdERs/CTImfXmyNhm42SMnMx/CfD+F2Fh8nRkRUGkMdEdUIdpZm+GVUG9Sx1+DSrWyMWhKN7PwiucsiIjIaDHVEVGO421ngl1Ft4GBphhPX0vH670dQUKSTuywiIqPAUEdENUp9V2ssHtkGGjMl9py/hSl/nYCOjxMjImKoI6Kap5m3PRa80AIqhYB/jl/HJ+tj+TgxIqr1GOqIqEbq0tAVnz/bBADwc9RlLNx1SeaKiIjkxVBHRDVW/+ZeeL93EABg9qaz+ONwgswVERHJh6GOiGq0lzvWw2ud6wEA3l11ClvPJMtcERGRPBjqiKjGe6dnIAa28IJWJ2LssqM4fCVV7pKIiKodQx0R1XiCIOCzgY3RLdAV+UU6PL/oID789zRucYBiIqpFGOqIyCSYKRX47vkW6NrQBQVaHRZHXUHnOTvwVeQ5ZOYVyl0eEVGVY6gjIpOhMVfi5xGt8dtLbdC4jh2yC7T4ett5dJqzAz/tuYS8Qq3cJRIRVRmGOiIyKYIgoGOAC9aOC8WCiBao52KFOzmF+GR9LLrN3YmV0fEo0vIpFERkehjqiMgkCYKAXo09sGVSJ8we2Bgedha4np6HqX+fQo95u7Hx1A0OWExEJoWhjohMmkqpwJDWPtjxVhe83zsIDpZmuHQzG6OXHsUz30Vh7/lbcpdIRFQpGOqIqFawMFPi5Y71sPvtrpjYPQBW5kqcvJaOF/53EM8vOoDjCWlyl0hE9J8w1BFRrWJjYYY3nmyAXW93xcjQujBXKrDv4m30+y4Kr/12GOeTM+UukYjosTDUEVGt5Gytxgd9QrD9rc54tqUXFAKw+XQywuftxlt/nsC1Ozlyl0hEVCEMdURUq3k5WOLzZ5ti86ROCA9xg04E/jpyDd3m7sKH/57GzUwOYExENYNK7gKIiIxBgJsNfhjWCsfi7+DzzXHYd/E2Fkddwa/7r6KVrwOeDHbDk8Fu8HWykrtUIqIyCaKJ9+m/du0avL29kZCQAC8vL7nLIaIaYu/5W/giMg7H4tMM5jdws74b8NzRpI4dFApBngKJyKjJkT+M+kzdrFmzsGrVKpw9exYajQbt27fH7Nmz0bBhQ7lLIyIT1yHAGR0CnJGQmoOtscmIPJOMg5dTcS45C+eSs/DdjotwtVGje5AbegS7oZ2/EyzMlHKXTUS1mFGfqevZsyeee+45tG7dGkVFRfi///s/xMTE4MyZM7CyKt8lEJ6pI6LKkp5TiJ3nUrDlTDJ2xd1EVn6RfpmluRKdAlzwZLAbugW6wsHKXMZKiUhucuQPow5197p58yZcXV2xa9cudOrUqVzbMNQRUVXIL9LiwKVUbD0jncVLysjTL1MIQKu6jujB+/CIai1efn2E9PR0AICjo6PMlRBRbadWKdG5gQs6N3DBR8+EICYxA5FnkrDlTDLOJmXi0OVUHLqcik/WxyLAVboPLyzYDU297KHkfXhEVAVqzJk6nU6Hvn37Ii0tDXv37n3gevn5+cjPLxmCIDExEcHBwTxTR0TV5t778LS6kl+zjlbm6NLABV0DXdEpwAV2lmYyVkpEVYWXXx9i9OjR2LhxI/bu3fvQxpkxYwY+/PDD++Yz1BGRHErfh7c77iYyS92Hp1QIaOnjgK6BrugW6IoGbtYQBJ7FIzIFDHUPMG7cOPzzzz/YvXs3/Pz8Hrouz9QRkbEq1Opw+Mod7IxLwfazKTifkmWwvI69Bl0auqBboCva+ztDY87etEQ1FUPdPURRxPjx47F69Wrs3LkTAQEBFd4HO0oQkbFKSM3BjrgU7Dibgn0XbyO/SKdfplYp0M7fCV0bSmfxvB0tZayUiCqKoe4eY8aMwbJly/DPP/8YjE1nZ2cHjUZTrn0w1BFRTZBboMX+S7ew/WwKdpy9icS0XIPl9V2t0S3QFV0buqJVXQeYKfmURyJjxlB3jwfdW7J48WKMGDGiXPtgqCOimkYURZxPycL2s9Jl2iNX7xh0trBRq9CqrgN8nazg62R5d7KCl4MGahUv2RIZAw5pcg8jzptERFVGEAQ0cLNBAzcbvN7ZH+k5hdhz4Sa2n03BrribuJ1dgB1xNwHcvGc7wNNOAx9HKej5OFnC17Ek+NlYsKctkSkz6lBHRESAnaUZnm7iiaebeEKnE3EyMR2nr6cj/nYOrt7OwdXUHMTfzkZ2gRaJablITMvF/ku379uPo5W5PvD5OlrCx8kKdZ0s0dDdhoGPyAQw1BER1SAKhYBm3vZo5m1vMF8URdzKKkB8arYU9G7nID41B1duZyP+dg5uZxcg9e50PCHNYFtrtQqzBzZB7yYe1fdBiKjSMdQREZkAQRDgYqOGi40aLX3vf+pOZl4h4lNzpLN7qTm4elsKfxdvZiE5Ix9jlx3F4at18W6vIJir2AmDqCZiqCMiqgVsLMwQ4mmHEE87g/lFWh3mbjmHhbsuYnHUFRxPSMO3z7dAHfvyjTBARMaD/xwjIqrFVEoF3ukViEUvtoKthQrH4tPw9Pw92BmXIndpRFRBDHVERIQng92wfkJHNKpjizs5hRi5JBpfbokzGEqFiIwbQx0REQEAvB0t8dfr7RHR1geiCMzffgEv/nwQt7LyH70xEcmOoY6IiPQszJSY2b8x5g1pBo2ZElEXbqP3/D2IvpIqd2lE9AgMdUREdJ9+zetg7bhQ+LtYITkjH8/9eACLdl/ioPBERoyhjoiIyhTgZoO14zqgb1NPaHUiZm6IxWu/HUF6bqHcpRFRGRjqiIjogazUKnz9XDN83K8RzJUKbDmTjD7f7EVMYrrcpRHRPRjqiIjooQRBwLAnfPHX6HaoY69BfGoOBizYh+WH4nk5lsiIMNQREVG5NPGyx/oJHdA90BUFRTq8u+oU3vzzBHIKiuQujYjAUEdERBVgb2mORS+2wts9G0IhAKuOJqL/d/tw8WaW3KUR1XoMdUREVCEKhYAxXepj6ctPwNlajbjkTPT9Zi/Wnbwud2lEtRqf/UpERI+lnb8TNkzogPHLj+Hg5VSMW3YMG07dgLejJazNVbBUq2CtVsLSXAVrtQqW5kpYqVV3JyWs1SpozJQQBEHuj0JkEhjqiIjosbnaWmDpy23xZeQ5fL/zIjacSqrQ9oIAWJlLgc9arYKlWgmruyGwvqs1xncPgLWaf6qIyoP/pxAR0X+iUirwds9AdG7ggqgLt5BdoEVOQRGy8rXIyS9CVn4Rcgq0yM4vQnZBEbLztcguKIIoAqIIZN1dJyXT8HFk286mIPJMMr6LaIEgD1uZPh1RzcFQR0RElaJtPSe0redUrnVFUURuoVYKePeEvez8IqTlFOL7HRdw6VY2+n0XhY/7NcLgVt5V/AmIajaGOiIiqnaCIMDSXAVLcxVcbNRlrvNUYw9M/uM4dsbdxNt/ncShy6n4+JlG0Jgrq7laopqBvV+JiMgoOVqZ4+fhrTElXBo+5a8j19DvuyhcSOHwKURlYagjIiKjpVAIGNtVGj7FxUYaPuWZb/di7QkOn0J0L4Y6IiIyeu38nbB+Qge0q+eE7AItJiw/hvfXnEJ+kVbu0oiMBkMdERHVCK42Fvj95bYY360+AOD3A/EYtGA/4m/nyFwZkXFgqCMiohpDqRDwZo+GWDKyNRwszXAqMR29v9mDLacrNj4ekSliqCMiohqnS0NXrJ/QES187JGZV4RXfzuCmevPoFCrk7s0Itkw1BERUY3kaa/Bytfa4eUOfgCARXsu47kfD+BGeq7MlRHJg6GOiIhqLDOlAu8/HYyFL7SEjYUKR67eQe/5e7H73E25SyOqdhx8mIiIaryejdwR5GGDMUuP4vT1DAxffAjju9bHxLAGUCoEucvTyykoQvSVO4i6cAt7z99CWk4BOgQ4o0ewOzoEOMPCjAMr0+MTRFEU5S6iKl27dg3e3t5ISEiAl5eX3OUQEVEVyivU4uN1Z7D0YDwAoF09J3w9tBlcbSxkqadIq8PJxHREnb+FvRdu4Wj8HRRqy/6zqzFTolMDZzwZ7I7uga5wsDKv5mqpMsmRPxjqiIjI5PxzPBHvrjqFnAItXGzUmDOwCVr4OMBWo4IgVN2ZO1EUcfFmFvaev4W9F27j4KXbyMwvMljH084CofWd0SHAGQ6W5th+NgVbTifhenqefh2lQkDrug54MtgdPYLd4O1oWWU1U9VgqKsCDHVERLXThZQsjFl6BOeSSx4rZq1WwdPeAnXsNajjoEEde8u7P6XJ1UYNRQUv1yal5yHqwi3pkuqFW0jJzDdYbqcxQ3t/J7Sv74wO9Z1R18nyvmApiiJOX8/AljPJiDyTjNgbGQbLA91t0CNECnghnrZVGkypcjDUVQGGOiKi2iunoAgz18diU0wSbmcXPHJ9M6UADztNqdBn+NrD3gL5RTocuHhbH+Iu3sw22IdapUDruo7S2bj6zgj2tK3wfX0JqTmIPJOMLWeSEH3lDrS6kj/VnnYWeDLYDT1C3NHGzxFmSvZ5NEYMdVWAoY6IiAAgt0CLxLRcXE/LRWJaLhLvGP5MysgzCE9lEQRAAFB6NYUANK5jpw9xLXwdKrXDw53sAmw/m4LIM8nYde4mcgtLHo1ma6FCt0BXPBnsjs4NXWCtZv9HY8FQVwUY6oiIqDyKtDokZ+bfDXk5uJ6Wh2v64JeDxLRc5BVKgxvXc7FCqL8zQus7o109J9hZmlVLjXmFWkRduIUtp5Ox7WwybmWVnH00VyoQWt8JTwa7IyzYVbbOISRhqKsCDHVERFQZRFHEnZxCFOl0RhGYtDoRx+Lv3L1Mm4zLt0ouAwsC0NzbXn8fXj0XaxkrrZ0Y6qoAQx0REZm64l63m09LAe9EQprBcn8XK33Aa+plX+HOIFRxDHVVgKGOiIhqm6T0PETGSj1p91+8ZTA2nquNGmHBbugR7IZ2/k5Qqyrv/j9RFHEzMx8Jd3IQn5qDhNRcZOUXIcDVGsGetghwtYG5qnZ07GCoqwIMdUREVJtl5BViZ9xNbDmdhJ1xN5FVatw8a7UKXRq6oEeIO7o0dIGtxaPvDUzPLURCag6ulQpuCXdy7s7LRX6R7oHbmikFBLjaIMTTFsGetgjxtEOQhw1synHcmoahrgow1BEREUnyi7TYf/E2Iu+Oh1d6TD0zpYAn6jmhR4g7WvjYIyUzH9dS7w9uGXlFDzmC1BvYw04Db0cNvB0sYaVW4WxSBk5fz0DmA7b1dbJEsIetQdhztVFXynh8eYVapGYX6Kc7OQW4nSX9DA9xR6M6dv/5GGVhqKsCDHVERET30+lEnLiWhi1nkrHldNJ94+09jLO1ObwcLOHtaAlvBw28HS3h42gJbwdLeNhblDl2niiKuHYnF6evZ+DMjQycuZ6OM9czDJ6kUZqTlTmCS4W8YA9b+DpZIiuvCLfvCWf6wJZdcN+ynAJtmfsHgE/7N8bzbX3K/bkrgqGuCjDUERERPdrFm1mIPJOMzaeTcDElC572Gng53A1rd8+6eTtawstBA6tKHA8vNbsAsTcycPpuyDt9PQMXb2bhEUMGVoiZUoCDpTkcrQynp5t4oo2fY+UdqBQ58gdHKSQiIiL4u1jDv7M1Xu/sX63HdbQyR2h9acy/YnmFWpxNyrwb8tJx5kYGYm9k6McJtLFQlYSze8Kag5U5nO75aaOu2mf+GguGOiIiIjIqFmZKNPO2RzNve/08rU7EnZwC2FqY1ZoetBXFUEdERERGT6kQ4GytlrsMo8aoS0RERGQCGOqIiIiITABDHREREZEJYKgjIiIiMgEMdUREREQmgKGOiIiIyAQw1BERERGZAIY6IiIiIhNQI0Ldd999h7p168LCwgJt27bFoUOH5C6JiIiIyKgYfahbuXIlJk+ejA8++ABHjx5F06ZNER4ejpSUFLlLIyIiIjIaRh/qvvzyS7zyyisYOXIkgoODsXDhQlhaWuLnn3+WuzQiIiIio2HUoa6goABHjhxBWFiYfp5CoUBYWBj2799f5jb5+fnIyMjQT5mZmdVVLhEREZFsjDrU3bp1C1qtFm5ubgbz3dzckJSUVOY2s2bNgp2dnX4KDg6ujlKJiIiIZKWSu4DK9u6772Ly5Mn69wkJCWjUqBFu3LghY1VERERUmxTnDp1OV23HNOpQ5+zsDKVSieTkZIP5ycnJcHd3L3MbtVoNtVqtf5+TkwMAaNOmTdUVSkRERFSG5ORk+Pj4VMuxjDrUmZubo2XLlti2bRv69esHQEq827Ztw7hx48q1j+bNm+PQoUNwc3ODQmHUV5srRWZmJoKDg3HmzBnY2NjIXY5RYduUje3yYGybB2PblI3t8mC1rW10Oh2Sk5PRvHnzajumUYc6AJg8eTKGDx+OVq1aoU2bNpg3bx6ys7MxcuTIcm2vUqnQunXrKq7SeGRkZAAA6tSpA1tbW5mrMS5sm7KxXR6MbfNgbJuysV0erDa2TXWdoStm9KFuyJAhuHnzJqZPn46kpCQ0a9YMmzZtuq/zBBEREVFtZvShDgDGjRtX7sutRERERLWR6d9kVsuo1Wp88MEHBp1FSMK2KRvb5cHYNg/Gtikb2+XB2DZVTxBFUZS7CCIiIiL6b3imjoiIiMgEMNQRERERmQCGOiIiIiITwFBnImbNmoXWrVvDxsYGrq6u6NevH+Li4uQuy+h89tlnEAQBkyZNkrsUo5CYmIgXXngBTk5O0Gg0aNy4MQ4fPix3WbLTarWYNm0a/Pz8oNFo4O/vj48//hi17Rbk3bt3o0+fPvD09IQgCFizZo3BclEUMX36dHh4eECj0SAsLAznz5+Xp9hq9rC2KSwsxNSpU9G4cWNYWVnB09MTL774Iq5fvy5fwdXoUd+b0l5//XUIgoB58+ZVW32mjKHOROzatQtjx47FgQMHEBkZicLCQvTo0QPZ2dlyl2Y0oqOj8cMPP6BJkyZyl2IU7ty5g9DQUJiZmWHjxo04c+YMvvjiCzg4OMhdmuxmz56NBQsW4Ntvv0VsbCxmz56NOXPm4JtvvpG7tGqVnZ2Npk2b4rvvvitz+Zw5czB//nwsXLgQBw8ehJWVFcLDw5GXl1fNlVa/h7VNTk4Ojh49imnTpuHo0aNYtWoV4uLi0LdvXxkqrX6P+t4UW716NQ4cOABPT89qqqwWEMkkpaSkiADEXbt2yV2KUcjMzBQDAgLEyMhIsXPnzuLEiRPlLkl2U6dOFTt06CB3GUapd+/e4qhRowzmDRgwQIyIiJCpIvkBEFevXq1/r9PpRHd3d/Hzzz/Xz0tLSxPVarW4fPlyGSqUz71tU5ZDhw6JAMSrV69WT1FG4kFtc+3aNbFOnTpiTEyM6OvrK3711VfVXpsp4pk6E5Weng4AcHR0lLkS4zB27Fj07t0bYWFhcpdiNNauXYtWrVrh2WefhaurK5o3b45FixbJXZZRaN++PbZt24Zz584BAE6cOIG9e/eiV69eMldmPC5fvoykpCSD/6fs7OzQtm1b7N+/X8bKjFN6ejoEQYC9vb3cpchOp9Nh2LBhmDJlCkJCQuQux6TUiCdKUMXodDpMmjQJoaGhaNSokdzlyG7FihU4evQooqOj5S7FqFy6dAkLFizA5MmT8X//93+Ijo7GhAkTYG5ujuHDh8tdnqzeeecdZGRkIDAwEEqlElqtFjNnzkRERITcpRmNpKQkALjvkY1ubm76ZSTJy8vD1KlTMXTo0FrzzNOHmT17NlQqFSZMmCB3KSaHoc4EjR07FjExMdi7d6/cpcguISEBEydORGRkJCwsLOQux6jodDq0atUKn376KQCgefPmiImJwcKFC2t9qPvjjz+wdOlSLFu2DCEhITh+/DgmTZoET0/PWt82VDGFhYUYPHgwRFHEggUL5C5HdkeOHMHXX3+No0ePQhAEucsxObz8amLGjRuHdevWYceOHfDy8pK7HNkdOXIEKSkpaNGiBVQqFVQqFXbt2oX58+dDpVJBq9XKXaJsPDw8EBwcbDAvKCgI8fHxMlVkPKZMmYJ33nkHzz33HBo3boxhw4bhjTfewKxZs+QuzWi4u7sDAJKTkw3mJycn65fVdsWB7urVq4iMjORZOgB79uxBSkoKfHx89L+Tr169ijfffBN169aVu7waj2fqTIQoihg/fjxWr16NnTt3ws/PT+6SjEL37t1x6tQpg3kjR45EYGAgpk6dCqVSKVNl8gsNDb1v2Jtz587B19dXpoqMR05ODhQKw3/zKpVK6HQ6mSoyPn5+fnB3d8e2bdvQrFkzAEBGRgYOHjyI0aNHy1ucESgOdOfPn8eOHTvg5OQkd0lGYdiwYffd2xweHo5hw4Zh5MiRMlVlOhjqTMTYsWOxbNky/PPPP7CxsdHf02JnZweNRiNzdfKxsbG5775CKysrODk51fr7Dd944w20b98en376KQYPHoxDhw7hxx9/xI8//ih3abLr06cPZs6cCR8fH4SEhODYsWP48ssvMWrUKLlLq1ZZWVm4cOGC/v3ly5dx/PhxODo6wsfHB5MmTcInn3yCgIAA+Pn5Ydq0afD09ES/fv3kK7qaPKxtPDw8MGjQIBw9ehTr1q2DVqvV/052dHSEubm5XGVXi0d9b+4NuGZmZnB3d0fDhg2ru1TTI3f3W6ocAMqcFi9eLHdpRodDmpT4999/xUaNGolqtVoMDAwUf/zxR7lLMgoZGRnixIkTRR8fH9HCwkKsV6+e+N5774n5+flyl1atduzYUebvleHDh4uiKA1rMm3aNNHNzU1Uq9Vi9+7dxbi4OHmLriYPa5vLly8/8Hfyjh075C69yj3qe3MvDmlSeQRRrGVDpBMRERGZIHaUICIiIjIBDHVEREREJoChjoiIiMgEMNQRERERmQCGOiIiIiITwFBHREREZAIY6oiIiIhMAEMdERERkQlgqCMiqgSCIGDNmjVyl0FEtRhDHRHVeCNGjIAgCPdNPXv2lLs0IqJqo5K7ACKiytCzZ08sXrzYYJ5arZapGiKi6sczdURkEtRqNdzd3Q0mBwcHANKl0QULFqBXr17QaDSoV68e/vrrL4PtT506hW7dukGj0cDJyQmvvvoqsrKyDNb5+eefERISArVaDQ8PD4wbN85g+a1bt9C/f39YWloiICAAa9eu1S+7c+cOIiIi4OLiAo1Gg4CAgPtCKBHRf8FQR0S1wrRp0zBw4ECcOHECEREReO655xAbGwsAyM7ORnh4OBwcHBAdHY0///wTW7duNQhtCxYswNixY/Hqq6/i1KlTWLt2LerXr29wjA8//BCDBw/GyZMn8dRTTyEiIgKpqan64585cwYbN25EbGwsFixYAGdn5+prACIyfSIRUQ03fPhwUalUilZWVgbTzJkzRVEURQDi66+/brBN27ZtxdGjR4uiKIo//vij6ODgIGZlZemXr1+/XlQoFGJSUpIoiqLo6ekpvvfeew+sAYD4/vvv699nZWWJAMSNGzeKoiiKffr0EUeOHFk5H5iIqAy8p46ITELXrl2xYMECg3mOjo761+3atTNY1q5dOxw/fhwAEBsbi6ZNm8LKykq/PDQ0FDqdDnFxcRAEAdevX0f37t0fWkOTJk30r62srGBra4uUlBQAwOjRozFw4EAcPXoUPXr0QL9+/dC+ffvH+qxERGVhqCMik2BlZXXf5dDKotFoyrWemZmZwXtBEKDT6QAAvXr1wtWrV7FhwwZERkaie/fuGDt2LObOnVvp9RJR7cR76oioVjhw4MB974OCggAAQUFBOHHiBLKzs/XLo6KioFAo0LBhQ9jY2KBu3brYtm3bf6rBxcUFw4cPx++//4558+bhxx9//E/7IyIqjWfqiMgk5OfnIykpyWCeSqXSd0b4888/0apVK3To0AFLly7FoUOH8L///Q8AEBERgQ8++ADDhw/HjBkzcPPmTYwfPx7Dhg2Dm5sbAGDGjBl4/fXX4erqil69eiEzMxNRUVEYP358ueqbPn06WrZsiZCQEOTn52PdunX6UElEVBkY6ojIJGzatAkeHh4G8xo2bIizZ88CkHqmrlixAmPGjIGHhweWL1+O4OBgAIClpSU2b96MiRMnonXr1rC0tMTAgQPx5Zdf6vc1fPhw5OXl4auvvsJbb70FZ2dnDBo0qNz1mZub491338WVK1eg0WjQsWNHrFixohI+ORGRRBBFUZS7CCKiqiQIAlavXo1+/frJXQoRUZXhPXVEREREJoChjoiIiMgE8J46IjJ5vMuEiGoDnqkjIiIiMgEMdUREREQmgKGOiIiIyAQw1BERERGZAIY6IiIiIhPAUEdERERkAhjqiIiIiEwAQx0RERGRCWCoIyIiIjIB/w/6zM1gPqjqWwAAAABJRU5ErkJggg==", - "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -763,7 +715,6 @@ "source": [ "from previous_chapters import plot_losses\n", "\n", - "plt.figure(figsize=(5, 3))\n", "epochs_tensor = torch.linspace(1, n_epochs, len(train_losses))\n", "plot_losses(epochs_tensor, tokens_seen, train_losses, val_losses)\n", "# plt.tight_layout(); plt.savefig(\"3.pdf\")\n", @@ -796,7 +747,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.4" + "version": "3.10.12" } }, "nbformat": 4, diff --git a/appendix-D/01_main-chapter-code/previous_chapters.py b/appendix-D/01_main-chapter-code/previous_chapters.py index 85d672c..f7a02cd 100644 --- a/appendix-D/01_main-chapter-code/previous_chapters.py +++ b/appendix-D/01_main-chapter-code/previous_chapters.py @@ -293,7 +293,7 @@ def generate_and_print_sample(model, tokenizer, device, start_context): def plot_losses(epochs_seen, tokens_seen, train_losses, val_losses): - fig, ax1 = plt.subplots() + fig, ax1 = plt.subplots(figsize=(5, 3)) # Plot training and validation loss against epochs ax1.plot(epochs_seen, train_losses, label="Training loss") diff --git a/ch05/01_main-chapter-code/ch05.ipynb b/ch05/01_main-chapter-code/ch05.ipynb index c54008a..89240d9 100644 --- a/ch05/01_main-chapter-code/ch05.ipynb +++ b/ch05/01_main-chapter-code/ch05.ipynb @@ -31,10 +31,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "matplotlib version: 3.7.2\n", - "numpy version: 1.25.2\n", + "matplotlib version: 3.8.2\n", + "numpy version: 1.26.0\n", "tiktoken version: 0.5.1\n", - "torch version: 2.2.1\n" + "torch version: 2.2.2\n", + "tensorflow version: 2.15.0\n" ] } ], @@ -1322,9 +1323,9 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -1335,7 +1336,7 @@ "import matplotlib.pyplot as plt\n", "\n", "def plot_losses(epochs_seen, tokens_seen, train_losses, val_losses):\n", - " fig, ax1 = plt.subplots()\n", + " fig, ax1 = plt.subplots(figsize=(5, 3))\n", "\n", " # Plot training and validation loss against epochs\n", " ax1.plot(epochs_seen, train_losses, label=\"Training loss\")\n", @@ -1620,15 +1621,15 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 56, "id": "2e66e613-4aca-4296-a984-ddd0d80c6578", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] }, "metadata": {}, @@ -1640,7 +1641,7 @@ "x = torch.arange(len(vocab))\n", "bar_width = 0.15\n", "\n", - "fig, ax = plt.subplots()\n", + "fig, ax = plt.subplots(figsize=(5, 3))\n", "for i, T in enumerate(temperatures):\n", " rects = ax.bar(x + i * bar_width, scaled_probas[i], bar_width, label=f'Temperature = {T}')\n", "\n", @@ -1650,7 +1651,7 @@ "ax.legend()\n", "\n", "plt.tight_layout()\n", - "# plt.savefig(\"temperature-plot.pdf\")\n", + "plt.savefig(\"temperature-plot.pdf\")\n", "plt.show()" ] }, @@ -2071,7 +2072,7 @@ "output_type": "stream", "text": [ "TensorFlow version: 2.15.0\n", - "tqdm version: 4.66.2\n" + "tqdm version: 4.66.1\n" ] } ], @@ -2235,7 +2236,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 54, "id": "f22d5d95-ca5a-425c-a9ec-fc432a12d4e9", "metadata": {}, "outputs": [], @@ -2317,7 +2318,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 55, "id": "1f690253-f845-4347-b7b6-43fabbd2affa", "metadata": {}, "outputs": [ @@ -2406,7 +2407,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.4" + "version": "3.10.12" } }, "nbformat": 4,