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True Model: 1\n", + "\n", + "$$x \\in \\mathbb{R}^{n_0}, \\text{ with } x_j \\sim \\mathcal{U}(-5, 5)$$\n", + "$$y_i = x_{i, 1} + sin(x_{i, 1}) + ɛ_i, \\text{ where } ɛ_i \\sim \\mathcal{N}(0, 0.1^2) \\text{ w.p. } 0.95 \\text{ and } \\mathcal{N}(0, 2^2) \\text{ w.p. } 0.05$$\n", + "$$p(\\ell_i = 1|y_i) = \\frac{1}{1 + e^{-y_i}}$$" + ], + "metadata": { + "id": "iqbhTljVOZfR" + } + }, + { + "cell_type": "code", + "source": [ + "def gen_data1(n = 100, x_dim = 25, unif_scale = 5, eps_mix_weights = [0.95, 0.05], eps_sigmas = [0.1, 2]):\n", + "\n", + " x = 2*unif_scale*torch.rand((n, x_dim)) - unif_scale\n", + " eps_choice = torch.distributions.categorical.Categorical(\n", + " probs = torch.tensor(eps_mix_weights)).sample(torch.Size([n]))\n", + " eps = torch.tensor([eps_sigmas[x]*torch.randn(1).item() for x in eps_choice])\n", + " y = x[:, 0] + torch.sin(x[:, 0]) + eps\n", + " prob_l = torch.sigmoid(y)\n", + " l = torch.bernoulli(prob_l)\n", + " l[l == 0] = -1\n", + "\n", + " return x, eps, y, prob_l, l" + ], + "metadata": { + "id": "FOb9IH1pOZfV" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "n_runs = 4\n", + "fig, ax = plt.subplots(n_runs//2, 4, figsize=(15, 10))\n", + "fig.subplots_adjust(hspace=0.3)\n", + "\n", + "for run in range(2):\n", + "\n", + " x, eps, y, prob_l, l = gen_data1(2**10)\n", + "\n", + " ax[run, 0].scatter(x[:, 0].numpy(), prob_l.numpy())\n", + " ax[run, 0].set_title(f'$p(\\ell = 1 | x_1)$ - $log_2(n) = 10$ - Run {run + 1}') \n", + " ax[run, 0].set_xlabel('$x_1$')\n", + "\n", + " ax[run, 1].bar([-1., 1.], [l[l == -1].shape[0]/l.shape[0], l[l == 1].shape[0]/l.shape[0]], color = [(0, 0, 1), (1, 0, 0)])\n", + " ax[run, 1].set_title(f'Class% - $log_2(n) = 10$ - Run {run + 1}')\n", + " ax[run, 1].set_xlabel('Class')\n", + " ax[run, 1].set_xticks([-1., 1.])\n", + "\n", + " x, eps, y, prob_l, l = gen_data1(2**10)\n", + "\n", + " ax[run, 2].scatter(x[:, 0].numpy(), prob_l.numpy())\n", + " ax[run, 2].set_title(f'$p(\\ell = 1 | x_1)$ - $log_2(n) = 10$ - Run {run + 3}') \n", + " ax[run, 2].set_xlabel('$x_1$')\n", + "\n", + " ax[run, 3].bar([-1., 1.], [l[l == -1].shape[0]/l.shape[0], l[l == 1].shape[0]/l.shape[0]], color = [(0, 0, 1), (1, 0, 0)])\n", + " ax[run, 3].set_title(f'Class% - $log_2(n) = 10$ - Run {run + 3}')\n", + " ax[run, 3].set_xlabel('Class')\n", + " ax[run, 3].set_xticks([-1., 1.]) \n", + "\n", + "plt.savefig('data_gen_fn1.png', dps = 300)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 680 + }, + "outputId": "a1c95185-482f-4949-a441-c6b632d1c42e", + "id": "mir_AAPPOZfY" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "<ipython-input-3-c561e932a829>:29: MatplotlibDeprecationWarning: savefig() got unexpected keyword argument \"dps\" which is no longer supported as of 3.3 and will become an error in 3.6\n", + " plt.savefig('data_gen_fn1.png', dps = 300)\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x720 with 8 Axes>" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### True Model: 2\n", + "\n", + "$$x \\in \\mathbb{R}^{n_0}, \\text{ with } x_j \\sim \\mathcal{U}(-5, 5)$$\n", + "$$y_i = x_{i, 1} + sin(x_{i, 1}) + ɛ_i, \\text{ where } ɛ_i \\sim \\mathcal{N}(0, 0.1^2) \\text{ w.p. } 0.95 \\text{ and } \\mathcal{N}(0, 2^2) \\text{ w.p. } 0.05$$\n", + "$$p(\\ell_i = 1|y_i) = min(1, sin(0.25y_i^2 + cos(y_i) -0.95)^2 + 0.25)$$" + ], + "metadata": { + "id": "Mm9d1R04OaTw" + } + }, + { + "cell_type": "code", + "source": [ + "def gen_data2(n = 100, x_dim = 25, unif_scale = 5, eps_mix_weights = [0.95, 0.05], eps_sigmas = [0.1, 2]):\n", + "\n", + " x = 2*unif_scale*torch.rand((n, x_dim)) - unif_scale\n", + " eps_choice = torch.distributions.categorical.Categorical(\n", + " probs = torch.tensor(eps_mix_weights)).sample(torch.Size([n]))\n", + " eps = torch.tensor([eps_sigmas[x]*torch.randn(1).item() for x in eps_choice])\n", + " y = x[:, 0] + torch.sin(x[:, 0]) + eps\n", + " prob_l = torch.sin(0.25*y**2 + torch.cos(y)-0.95)**2 + 0.25\n", + " prob_l[prob_l > 1] = 1.\n", + " l = torch.bernoulli(prob_l)\n", + " l[l == 0] = -1\n", + "\n", + " return x, eps, y, prob_l, l" + ], + "metadata": { + "id": "_l5uRcTeOaTy" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "n_runs = 4\n", + "fig, ax = plt.subplots(n_runs//2, 4, figsize=(15, 10))\n", + "fig.subplots_adjust(hspace=0.3)\n", + "\n", + "for run in range(2):\n", + "\n", + " x, eps, y, prob_l, l = gen_data2(2**10)\n", + "\n", + " ax[run, 0].scatter(x[:, 0].numpy(), prob_l.numpy())\n", + " ax[run, 0].set_title(f'$p(\\ell = 1 | x_1)$ - $log_2(n) = 10$ - Run {run + 1}') \n", + " ax[run, 0].set_xlabel('$x_1$')\n", + "\n", + " ax[run, 1].bar([-1., 1.], [l[l == -1].shape[0]/l.shape[0], l[l == 1].shape[0]/l.shape[0]], color = [(0, 0, 1), (1, 0, 0)])\n", + " ax[run, 1].set_title(f'Class% - $log_2(n) = 10$ - Run {run + 1}')\n", + " ax[run, 1].set_xlabel('Class')\n", + " ax[run, 1].set_xticks([-1., 1.])\n", + "\n", + " x, eps, y, prob_l, l = gen_data2(2**10)\n", + "\n", + " ax[run, 2].scatter(x[:, 0].numpy(), prob_l.numpy())\n", + " ax[run, 2].set_title(f'$p(\\ell = 1 | x_1)$ - $log_2(n) = 10$ - Run {run + 3}') \n", + " ax[run, 2].set_xlabel('$x_1$')\n", + "\n", + " ax[run, 3].bar([-1., 1.], [l[l == -1].shape[0]/l.shape[0], l[l == 1].shape[0]/l.shape[0]], color = [(0, 0, 1), (1, 0, 0)])\n", + " ax[run, 3].set_title(f'Class% - $log_2(n) = 10$ - Run {run + 3}')\n", + " ax[run, 3].set_xlabel('Class')\n", + " ax[run, 3].set_xticks([-1., 1.]) \n", + "\n", + "plt.savefig('data_gen_fn2.png', dps = 300)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 680 + }, + "outputId": "f8bcf94f-5f47-4b35-dadd-9f71204ba340", + "id": "eWNXmWarOaTz" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "<ipython-input-5-f65b56b8aa0b>:29: MatplotlibDeprecationWarning: savefig() got unexpected keyword argument \"dps\" which is no longer supported as of 3.3 and will become an error in 3.6\n", + " plt.savefig('data_gen_fn2.png', dps = 300)\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x720 with 8 Axes>" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### True Model: 3\n", + "\n", + "$$x \\in \\mathbb{R}^{n_0}, \\text{ with } x_j \\sim \\mathcal{U}(-5, 5)$$\n", + "$$y_i = x_{i, 1} + sin(x_{i, 1})$$\n", + "$$p(\\ell_i = 1|y_i) = \\frac{1}{1 + e^{-y_i}} \\text{ w.p. } 0.95 \\text{ and } 0.5 \\text{ w.p } 0.05$$" + ], + "metadata": { + "id": "ps3r0JulTnso" + } + }, + { + "cell_type": "code", + "source": [ + "def gen_data3(n = 100, x_dim = 25, unif_scale = 5, eps_mix_weights = [0.95, 0.05]):\n", + "\n", + " x = 2*unif_scale*torch.rand((n, x_dim)) - unif_scale\n", + " eps_choice = torch.distributions.categorical.Categorical(\n", + " probs = torch.tensor(eps_mix_weights)).sample(torch.Size([n]))\n", + " y = x[:, 0] + torch.sin(x[:, 0])\n", + " prob_l = torch.sigmoid(y)\n", + " prob_l[eps_choice == 1] = 0.5\n", + " l = torch.bernoulli(prob_l)\n", + " l[l == 0] = -1\n", + "\n", + " return x, eps, y, prob_l, l" + ], + "metadata": { + "id": "A_IYTfEpTnss" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "n_runs = 4\n", + "fig, ax = plt.subplots(n_runs//2, 4, figsize=(15, 10))\n", + "fig.subplots_adjust(hspace=0.3)\n", + "\n", + "for run in range(2):\n", + "\n", + " x, eps, y, prob_l, l = gen_data3(2**10)\n", + "\n", + " ax[run, 0].scatter(x[:, 0].numpy(), prob_l.numpy())\n", + " ax[run, 0].set_title(f'$p(\\ell = 1 | x_1)$ - $log_2(n) = 10$ - Run {run + 1}') \n", + " ax[run, 0].set_xlabel('$x_1$')\n", + "\n", + " ax[run, 1].bar([-1., 1.], [l[l == -1].shape[0]/l.shape[0], l[l == 1].shape[0]/l.shape[0]], color = [(0, 0, 1), (1, 0, 0)])\n", + " ax[run, 1].set_title(f'Class% - $log_2(n) = 10$ - Run {run + 1}')\n", + " ax[run, 1].set_xlabel('Class')\n", + " ax[run, 1].set_xticks([-1., 1.])\n", + "\n", + " x, eps, y, prob_l, l = gen_data3(2**10)\n", + "\n", + " ax[run, 2].scatter(x[:, 0].numpy(), prob_l.numpy())\n", + " ax[run, 2].set_title(f'$p(\\ell = 1 | x_1)$ - $log_2(n) = 10$ - Run {run + 3}') \n", + " ax[run, 2].set_xlabel('$x_1$')\n", + "\n", + " ax[run, 3].bar([-1., 1.], [l[l == -1].shape[0]/l.shape[0], l[l == 1].shape[0]/l.shape[0]], color = [(0, 0, 1), (1, 0, 0)])\n", + " ax[run, 3].set_title(f'Class% - $log_2(n) = 10$ - Run {run + 3}')\n", + " ax[run, 3].set_xlabel('Class')\n", + " ax[run, 3].set_xticks([-1., 1.]) \n", + "\n", + "plt.savefig('data_gen_fn3.png', dps = 300)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 680 + }, + "outputId": "61286bfe-aea5-4a4e-be97-79551affda97", + "id": "-mG_VP8cTnsu" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "<ipython-input-7-55ee63f7e1dc>:29: MatplotlibDeprecationWarning: savefig() got unexpected keyword argument \"dps\" which is no longer supported as of 3.3 and will become an error in 3.6\n", + " plt.savefig('data_gen_fn3.png', dps = 300)\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x720 with 8 Axes>" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### True Model: 4\n", + "\n", + "$$x \\in \\mathbb{R}^{n_0}, \\text{ with } x_j \\sim \\mathcal{U}(-5, 5)$$\n", + "$$y_i = x_{i, 1} + sin(x_{i, 1})$$\n", + "$$p(\\ell_i = 1|y_i) = min(1, sin(0.25y_i^2 + cos(y_i) -0.95)^2 + 0.25) \\text{ w.p. } 0.95 \\text{ and } 0.5 \\text{ w.p } 0.05$$" + ], + "metadata": { + "id": "56PaXJjHTns0" + } + }, + { + "cell_type": "code", + "source": [ + "def gen_data4(n = 100, x_dim = 25, unif_scale = 5, eps_mix_weights = [0.95, 0.05]):\n", + "\n", + " x = 2*unif_scale*torch.rand((n, x_dim)) - unif_scale\n", + " eps_choice = torch.distributions.categorical.Categorical(\n", + " probs = torch.tensor(eps_mix_weights)).sample(torch.Size([n]))\n", + " y = x[:, 0] + torch.sin(x[:, 0])\n", + " prob_l = torch.sin(0.25*y**2 + torch.cos(y)-0.95)**2 + 0.25\n", + " prob_l[prob_l > 1] = 1\n", + " prob_l[eps_choice == 1] = 0.5\n", + " l = torch.bernoulli(prob_l)\n", + " l[l == 0] = -1\n", + "\n", + " return x, eps, y, prob_l, l" + ], + "metadata": { + "id": "3KE_qBzNTns4" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "n_runs = 4\n", + "fig, ax = plt.subplots(n_runs//2, 4, figsize=(15, 10))\n", + "fig.subplots_adjust(hspace=0.3)\n", + "\n", + "for run in range(2):\n", + "\n", + " x, eps, y, prob_l, l = gen_data4(2**10)\n", + "\n", + " ax[run, 0].scatter(x[:, 0].numpy(), prob_l.numpy())\n", + " ax[run, 0].set_title(f'$p(\\ell = 1 | x_1)$ - $log_2(n) = 10$ - Run {run + 1}') \n", + " ax[run, 0].set_xlabel('$x_1$')\n", + "\n", + " ax[run, 1].bar([-1., 1.], [l[l == -1].shape[0]/l.shape[0], l[l == 1].shape[0]/l.shape[0]], color = [(0, 0, 1), (1, 0, 0)])\n", + " ax[run, 1].set_title(f'Class% - $log_2(n) = 10$ - Run {run + 1}')\n", + " ax[run, 1].set_xlabel('Class')\n", + " ax[run, 1].set_xticks([-1., 1.])\n", + "\n", + " x, eps, y, prob_l, l = gen_data4(2**10)\n", + "\n", + " ax[run, 2].scatter(x[:, 0].numpy(), prob_l.numpy())\n", + " ax[run, 2].set_title(f'$p(\\ell = 1 | x_1)$ - $log_2(n) = 10$ - Run {run + 3}') \n", + " ax[run, 2].set_xlabel('$x_1$')\n", + "\n", + " ax[run, 3].bar([-1., 1.], [l[l == -1].shape[0]/l.shape[0], l[l == 1].shape[0]/l.shape[0]], color = [(0, 0, 1), (1, 0, 0)])\n", + " ax[run, 3].set_title(f'Class% - $log_2(n) = 10$ - Run {run + 3}')\n", + " ax[run, 3].set_xlabel('Class')\n", + " ax[run, 3].set_xticks([-1., 1.]) \n", + "\n", + "plt.savefig('data_gen_fn4.png', dps = 300)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 680 + }, + "outputId": "5925ff9a-7ee8-474c-c4ea-873b48bfe517", + "id": "V4uNr8O3Tns6" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "<ipython-input-9-0830d942480c>:29: MatplotlibDeprecationWarning: savefig() got unexpected keyword argument \"dps\" which is no longer supported as of 3.3 and will become an error in 3.6\n", + " plt.savefig('data_gen_fn4.png', dps = 300)\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x720 with 8 Axes>" + ], + "image/png": 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tHxxV+rESRkOtAGCS6faZxbKKtS+YUfFjGxvyQXZNNWRMXWUHT5DvJxElXugxjShq9fnKfs6dfuLYkGtCRGEKo6G2HsDnxDAPwNuq+kaQJ2xracLdnz2noscqL/+TR9+5Yg78NtWY9ZEo80KPaZXGs0ofR7Vn1eLZvh8TddZHEVkoIrtEZLeILLO4/1oR2Sci24r/vhBZZYhSykt6/gcBXADgVBHZC+BWAHkAUNV/ALAJRhrj3TBSGf95WJVraqzH6/0DmNhYj/YFM0b8QJ66bCOs2mRvDwyGtXvKuNL3qbN7l+33jIiypRoxzcu5pqu3wHMRBZLPCQZNCWjyOUHn5XOq8j0SkRyAewBcCGOe51YRWa+qz5dtulZVl8ZeQaKUcG2oqeoSl/sVwBdDqxGMgNX+6PbhE06hfwDtj24HcCzgNTbkceDQ6EYZhz6SH20tTfwxRFRDqhHTAPdzDc9FFERn964RjTQAGBxSdHbvqtb36jwAu1X1ZQAQkYdgZFQtb6gRkYNYk4l4dduGPssTzm0b+oZv2w1x5NBHIiJKmq7eAubf+SSmLtuI+Xc+yaVkKFQFm0RqduUx8Jo99TIR2SEij4rIJIv7iWpaIhtqVlfKysvthjhy6CMRESVJV28By9ftRKF/AArjx/PydTvZWKPQ5Gwyy9mVJ8QGAFNUdTaAJwD8yGojLoNBtSyRDTUv7FKkZy11OkWHPdxEFIfO7l0YGBwaUTYwOMR1Pyk0QzbDicrLY4x7rtlTVfUtVX2/ePMHAM61eiIug0G1LLUNtY+dbX2w2pUTmZXmQZp7uNsf3c7GGhGFzm59z/Jydh5RpZpsOqnN5TFf2d0KYLqITBWRsQCuhJFRdZiInGG6uQjAC1FUhCjNUttQ+/F262zJduVEZl7mQRIRhcHLCBAOj6QgvHRex3llV1WPAFgKoBtGA+xhVe0TkdtFZFFxsy+JSJ+IbAfwJQDXhl4RopRLbUOt32Yuml05kZmXeZBERGFoXzAD9fnciLL6fA7tC2YM3+bwSApi4w7rTmpzedwJR1R1k6p+WFWnqeodxbJbVHV98e/lqjpLVeeo6sdU9cVIKkKUYq7p+auhPl+HgcGjluVERERp4mUdNa/DI4mseOl8zIlYzmVLeMIRopqWyIba8fmcZUPteFOP5HibddTGcx018qCxPm959bWxnt8fIgqf2zppDWNzOHh4yLKcKAxeE46kWdrbnBn6KCgkibxE1W/TM2Quv3j2GZbb2JUTmXUsmjXqy19XLCciitshi0aaUzmRX14SjhBRsiSyoeZl4vVTL1qvpWFXTlQulxPH23ETkYUisktEdovIMov7rxWRfSKyrfjvC9WoJxGFz64jnR3s5IXdaBBzuZe5kkSULIlsqHnJXsTx/BREZ/cuy6yP1Zq4LyI5APcAuAjATABLRGSmxaZrVfWc4r8fxFpJIopMShcspoToWDQL+bqR35V8nYwYJdLW0oRVi5vR1FgPgXElbdXiZschuURUXYmco+blatnExnrLTEVc8Jq8iDv7lQfnAditqi8DgIg8BOBSAM9Xq0JEFJ95HxyPZ17ab1lO5MZLwprSdmyYEaVHIhtqXq6WtS+YgeXrdo5IZ8xL+ORVArNfNQHYY7q9F8Bci+0uE5E/AvALAF9R1T3lG4jI9QCuB4DJkydHUFUiCtsrb1nHPbtyonJshBFlTyIbal6ulnntPSKy4if7VVdvISnfsw0AHlTV90XkfwD4EYCPl2+kqqsBrAaA1tZWTnEhSgEO56cgEhSniChEiWyoeb1axt4jqpTXK2pdvYUR38VC/wCWr9sJAGF/9woAJplun1ksG6aqb5lu/gDAt8OsABFFw8uPaA7np0r5iVNs0BGlSyKTiXDCK0XN6xW1zu5dIzoMAGBgcCiKpCNbAUwXkakiMhbAlQDWmzcQEfPaE4sAvBB2JYgoXKUf0YX+ASiO/Yju6h3RD8OMfFQxr3HK63eRiJIjkVfUAF4to2g12fRel68nE9dwJFU9IiJLAXQDyAH4oar2icjtAHpUdT2AL4nIIgBHAOwHcG2olSCi0Dn9iDbHOA7np0p5jVNev4tElByJbagRRcnr8No4hyOp6iYAm8rKbjH9vRzA8tB3TESR8dPZww5KqsTJ9Xn0DwxalptxHiRR+iRy6CNR1LwOr+VwJCIKwq5Tx6q8q7eA+Xc+ianLNmL+nU9ySBp5YpesuLzcz3eRiJIh9Q01BjaqRFdvAbdt6Bseq3/w/SOW23G+JBEF4bWzh/OHqFL9h0ZfTbMqZ8cjUfp4aqiJyEIR2SUiu0VkmcX9Z4nIv4nIDhF5WkTODL+qozGwUSW6egu46ZHtOGAKYv0Dg2h/ZDu/O0Q1IM6Y5rWzJ8bERZQx9Xnrn3Ll5ex4JEof1zlqIpIDcA+AC2EswrtVRNar6vOmzb4D4J9V9Uci8nEAqwD8aRQVNuPEWKrEbRv6MHR0dNbHwaM66rsTY3p+IopBNWKal7lndvOErObIEpkNHDnquZzzIInSxcsVtfMA7FbVl1X1MICHAFxats1MAE8W/37K4v5IcGIsVeKAzTARwF+WLCJKpUTGtMaGvO19vNJPTmxWm7EtJ6L08NJQawKwx3R7b7HMbDuAxcW/Pw3gRBH5QPkTicj1ItIjIj379u2rpL4j2AU2p4BH5KR8UjU7A4gyJ5ExzelHNTuGyInXZCJElD5hJRP5KoA/FpFeAH8MoABgqHwjVV2tqq2q2jphwoTAO2UvEoXNKj2/FWbJIsq0UGOal6RXb1ukVy9hxxA5qR9jM0fNppyI0sPLUVwAMMl0+8xi2TBVfV1VF6tqC4Cbi2X9YVXSjl1gcwp4RE6Ynp8o82KNaV6TXjl1/pSvh0VkNjBoM0fNppyI0sNLQ20rgOkiMlVExgK4EsB68wYicqqIlJ5rOYAfhltNa7zaQZUYbzM01qqcWbKIMifWmOZ1nqtT58+7NsuHEAH8LUSUZa4NNVU9AmApgG4ALwB4WFX7ROR2EVlU3OwCALtE5BcATgdwR0T1HYFXO6gSt14yC/ncyMH7+Zzg1ktmWW7f1tKEZ5Z9HL+682I8s+zjbKQRpVjcMc3rPFen88oRiyy1RCX8LUSUXa7p+QFAVTcB2FRWdovp70cBPBpu1dyVAltn9y683j+AiY31aF8wgz+kyRG/N0S1Lc6YNrGx3jLFPq92UJiOG1M3fOV2fEMet14yizGNKAM8NdSSrPxHd2k4CU9Q5IRryVDmpTnlW4YyQrUvmDFiLUaAVzsoPOVrfQLAe5ybRpQZqU8J5HWiNhERUdw4z5WixLU+ibIt9VfUnE5SDIRkp6u3wKGPRBQLXsGnqHCtT6JsS31DzWrsv1M5UflQkdJVWMB6yCwbdURElEQn1+fRb7EkEZd0IMqG1A99JPLLz1ARDq0lIqKkspuKmuYpqkR0DBtqVHP8DBXh+H8iIkqq/kOjr6Y5lRNRuqS+oVZn02tkV07kZ3FQjv8nIqKkamywHuJoV05E6ZL6hlrOpkFmV07kZ3FQP406IqIg6vPWIdmunMhuJYsMrXBBVNNSf/a3Wy6Ey4iQHT/psv006oiIgji+7FzjVk5klUjEqZyI0iX1WR+JKuE1XXb5gurM+khEUTlgM6/IrpxIxPrqmV0yEWYxJkqX1DfUxjfkLYPYeI7PppBwDSQiikNOBEMWv7pzTOFHNvwMffS7NA0RVV/qhz7eesks5MsmpOVzglsvmVWlGlHSdfUWMP/OJzF12UbMv/NJptonokSwaqQ5lRP5wSzGROmT+oZaW0sTOi+fM2K+Ueflc9g7RJa4LhoRJVWTTZIiu3KicWOt5y9alcedxVhEForILhHZLSLLHLa7TERURFojqQhRiqV+6CPAoWnknVOPIr9DRFRN7QtmjBiaBgAC4GNnT6hepSjRjtpcbbUqn9hYj4JFoyyKLMYikgNwD4ALAewFsFVE1qvq82XbnQjgywC2hF4JogxI/RU1Ij8q6VHkUEkiCsLrOaStpQmXndsE82B+BfDYcwWed8jSgE2Ka6vymLMYnwdgt6q+rKqHATwE4FKL7b4B4FsA3ouiEkRpl4mGGn9Ik1d+FwflUEkiCqKrt4D2R7ePOIe0P7rd9hzy1Iv7UH4thPOIKAx+lqYJQROAPabbe4tlw0TkowAmqepGpycSketFpEdEevbt2xd+TYkSLPVDH0tBcHDICG2lIAgwixGN5ndxUA6VJKIgbtvQNxyfSgaHFLdt6LM8h8Q9j4jSq5IOw6RMFRGROgB3AbjWbVtVXQ1gNQC0trYysw7VlNRfUXMKgkTl3rZZBNSunD+aiCgIv2ujnVxvfXXfrpxqV8KvshYATDLdPrNYVnIigI8AeFpEXgEwD8B6JhQhGin1DTUuEEp+HJ+3/srbldtNso5i8jURkd2SaVxKjco5dRgmYC3ZrQCmi8hUERkL4EoA60t3qurbqnqqqk5R1SkANgNYpKo91akuUTJ5aqi5pVgVkcki8pSI9IrIDhH5VPhVJQru/SPWE6/tymOefE1EMYgzpjXaXAmzK++36WS0K6fa5dRhaLeWbFxz+lX1CIClALoBvADgYVXtE5HbRWRRJDslyiDXhpopxepFAGYCWCIiM8s2WwHjIGyB0WvyvbArascu2AGVjd+mbDtqM7rdrjzmyddEFLG4Y1rHolnI1428HJavE3Qssv4hzav45FX7ghmWP+KumTfZMkZZJcf6ytptWNG1M5L6qeomVf2wqk5T1TuKZbeo6nqLbS/g1TSi0bxcUfOSYlUBnFT8+2QAr4dXRWd2wQ5I/PhtSom2liY8s+zj+NWdF+OZZR+PrJHGxUGJYhFrTGtraULnFXNGdPZ0XjHH9jxit2Ya11Kjcj2v7of1WBBrVsmxFMCaza+xY5soobw01FxTrALoAHCNiOwFsAnAX1k9URQpVp1+NDPhA6WFx15+Lg5KFFyiY9pTL1o/j1051a41m1/zVW73m0jBjm2ipAormcgSAPep6pkAPgXgX4qpV0dQ1dWq2qqqrRMmhNc7OG5szrK8waacapff+SIx4uKgRMkRWkzzuxYjM82SV3Z56u3KnYbP8vtFlExeGmpuKVYB4PMAHgYAVX0WwPEATg2jgl4cOjzkq5xqV4IzqnFxUKJ4xBrTnNZitML0/BSV9gUzYBfqOAeSKJm8NNQcU6wWvQbgEwAgIr8LI6jF9gvRb68S1S67ZRucMqrFlSXLiWlx0Jvcto3qyjVRRsQa0/xeIUtwZxKlXFtLE35/2imW93EOJFEyuTbUPKZYvQnAdSKyHcCDAK5V1djaSTmbCGZXTrXJqYFl15vod9hSAFwclCgGccc0v1kcuTYoRemVt6w7CDgHkiiZxnjZSFU3wZhQbS67xfT38wDmh1s17+Z9cDyeeWm/ZTlRyc2P26cgtlsXzWnYUsjZH4d7+WE00K4EcFXpTlV9G6ahVyLyNICvMp0xkX9xxrT2BTOwfN3OEecRp7UYcyIYsmgTsuORwsA5kETpElYykaqy6yGyK6fadNBhzqJdoyuuoMbFQYmyye9ajFaNNKdyIj+4Th9Runi6opZ07CGiqExsrEfB4nsURVBz6+UvK78g9AoQUSTaWpo8X4FvsjnnNPGHNIXA7xVeIqquTFxRYw8RRaV9wQzk60YOOcrXCYMaEUWifcEM1OdHLy0z5QOMZzRSnc1oWLtywOg0uOzcpuGhtDkRXHau944EIopXJhpq7QtmIJ8r+zGd449pCkl50ONUESKKSFtLEz46+eRR5c+8tB8ruuzn2VLtuWruZF/lgJEg67HnCsNDaYdU8dhzhapkMyYid5loqAEYnYufw/mpjN3QIachRZ3duzA4NPLLNDiktmsgEREF9ezLo5NjAcADW16LuSaUZCvbmnHNvMkjro5dM28yVrY12z7G77p+RFRdmZij1tm9C4NHy35MH9UoMvNRik35gPXcD6chRZz/SERxO2rT0WhXTrVrZVuzY8OsHGMaUbpk4ooaTzzkxf+1WMLBqRzg/EciIsoOxjSidMlEQ40nHvLCrjPaqZPaamI/M2QRUZTyNpHZrpxqU1dvAfPvfBJTl23E/Duf9DTPjDGNKF0ycdq3OvEIgI+dPaE6FaLM8LsGEhFRUCccn/dVTrWnq7eA5et2otA/AAVQ6B/A8nU7XRtrjGlE6ZKJOWptLU3oeXU/7t98bKK1Alj78z1oPesUnoAIADBubM5y0etxY0enwjbzswYSEVFQ/YcGfZVT7XFKCuIWrxjTiNIjE1fUAODH298YVTZ4VNGxvq8KtaEk+vRHrQOTXTkRUTVwOD+5sUqM5VROROmUmYZa/4BND6RNOdWejTtGN+adyomIqoHziMhNKSW/13IiSqfMNNSI3BywGTZkV05EVA1Wi15/dPLJHK5Gw0oLVnstJ6J0ykxDbXyD9SRru3KqLV6yYRERJcGKrp14pmzZkGde2o8VXTurVCNKmiabYbB25USUTolsqFWScvbWS2Yhnxt5yT+fE9x6yayoqkkp0tm9y/a+xno25okoOR7cssdXOdUeu6zWzHZNlC2Ja6gFSTnbefmcESlnOy+fw6EiBMB5gnXHIjbmiSg5OKyN3FglUHMqJ6J0Slx6fqacpSjkRCx/5AjA7wwRJYrd+YqJIqiECdSIakPirqi9bnPlw66cyAu7nmiv/dOVDMclIqrEkrmTfJUTEVE2Ja6hxvVjKApBJl5XOhyXiKgSK9uacc28ycNX0HIiuGbeZKxsa65yzSgJnJLKMIEaUbYkbuhj+4IZWL5u54jhj1w/hoIK8r0KMhyXiKgSK9ua2TAjS05JZZhAjShbPF1RE5GFIrJLRHaLyDKL+78rItuK/34hIv2VVqitpQmrFjePSAqyanEzfxBTIG0tTbjs3KYRPdSXnettTiOH4xJlS5wxjShsTkllvMQ0DuUnSg/XK2oikgNwD4ALAewFsFVE1qvq86VtVPUrpu3/CkBLkEoxKQiFrau3gMeeKwwHuCFVPPZcAa1nneL6XZvYWG+ZNZLDcYnSpxoxrVIrunbiwS17MKSKnAiWzJ3Eq2wUKNlMaSh/aZRIaSg/wMRaREnk5YraeQB2q+rLqnoYwEMALnXYfgmAB8OoXCXYU0RWnIYvumlfMAP1+dyIMg7HJUqtVMS0FV07cf/m10Z0Lt2/+TUuek344IQGX+VmQWIhEcXPS0OtCYB5QPTeYtkoInIWgKkAnrS5/3oR6RGRnn379vmtqysmfSA7QYYvcjguUaakIqat2fKar3KqHS/vO+Sr3MxuTVGntUaJqHrCTiZyJYBHVXXI6k5VXQ1gNQC0traGvnInkz6QnaDDFzkcl6gmVS2m2U1D4prXxAXRiWqHl4ZaAYB58ZYzi2VWrgTwxaCVqhSTPpCdoNlEu3oL6Ozehdf7BzCxsR7tC2aw4UaUTrHGNJ47iIioUl6GPm4FMF1EporIWBiBa335RiJyNoDxAJ4Nt4recQ02shNk+CKH1BJlSmwxLci5I2eTF8KunMgLu4QjXhKREFH8XBtqqnoEwFIA3QBeAPCwqvaJyO0issi06ZUAHlKt3rX3j509wVc51Y4gvdqcfE2UHXHGtCDnjqN25RzdVvMa660XtbYrN1syd5KvciKqLk9z1FR1E4BNZWW3lN3uCK9alXnqRevJ3HblVBu6egu4ce224R8+hf4B3Lh2GwBv6Yg5pJYoW+KKaUHOHbZz1GCc0zh8snYNDlk34+3KzUrLO8Sx7IOILATwdwByAH6gqneW3f8XMIYWDwF4F8D15mUyiCj8ZCKhqHTtGP6gJivL1+0Y1Tt9tFju5cdOY0MeBw4NWpYTEdkJksTIbq0sAEyQVeMOHrbMbWNbXm5lW3Pk6/F5Wa8QwAOq+g/F7RcBuAvAwkgrRpQyXuaoxSrI2jGco0ZWBgatexntyssx+xoRVaJ9wQzk60bO/cnXiackRk5D0dj5SEGs6NqJacs3YcqyjZi2fFNUa/O5rleoqr813RwH44IxEZkkrqH2gM0aMXblZlYLEws4R42CeXtg9NU0p3IiomHlORo85mxY2daMvE2EPtnDXCTKriBz1GJcSN3TeoUi8kUReQnAtwF8yeqJol6DlyjJEtdQs5so7WUCdVtLEy47d+R5QAGs/fkeZuijivFKLRFVorN7FwaHRgavwSH1nIjohOOtf3gzQV9t61g0y/JKbceiWa6PfXDLHl/lUVPVe1R1GoCvAVhhs81qVW1V1dYJE9jxTrUlcQ21oH68/Y1RZYNHFR3r+6pQG8oCqyu1ftZgI6LaZDU/zam8nNXcWKdyqh0nHH8sxUBjfR6dV8zxNG8xxsWy/axXCBhDI9vCrgRR2iWuoVZvM9bDrrxcv81wNLtyIjdB1mAjotoVdM0qu614Qa12ldbmMzfW3z/ibb41ANTZfHnsygNwXa9QRKabbl4M4Jeh14Io5RKX9XHV4tkjUqkDRmty1eLZ1aoSEdpamiJvmDGVMVG2BL16YbcVMy7ULqe1+bzEqOPG1Fkm0jpuTLj99qp6RERK6xXmAPywtF4hgB5VXQ9gqYh8EsAggAMA/izUShBlQOIaaqUTTaWLExOlEVMZE2VPk016/ibOb6UKBV2GKGgWZD/c1itU1S+HvlOijElcQw2I5+oF1YaI0g5HYTiVMQCISCmV8XBDjamMidKlfcEMLF+3c8QVEM5vpSCCrutptz6f1+G4RBSvRDbUiMJy/2b7ZR3GJ2vBaqtUxnPLNxKRLwK4EcBYAB+3eiIRuR7A9QAwefLk0CtKRN5whAiF7f1B60Wt7crLxZhMhIhCwIYa1axbL3FPZZw0qnoPgHtE5CoYqYxHjelX1dUAVgNAa2sroy9RFXGECIXpkM0QRbvycryiRpQuicv6SBSXhP14YipjIhrBaQFjrg1ae8L4zHlFjShd2FAjSgamMiaiEZwWMPa6aDZlx9fX7bC9z6lRb2aXyIYJboiSqaYaauyBpKRS1SMASqmMXwDwcCmVcTHDI2CkMu4TkW0w5qkxlTFRhjld9fe6aDZlh9PwRqdGvVn7ghnIly2alq8TJrghSqiamqPmdZ0RompgKmMiKsc5ReSFr9825V8dfpWIEitzV9SczjfsgSQiojThnCIKU2f3LgwOjfzuDA4ph9ISJVTiGmpdvQXMv/NJTF22EfPvfNL3cMWr59mnI2cPJBERpYnd3COvc5KIzIIumE1E8UpUQ62rt4Dl63ai0D8AhXEFbPm6nb4aayvbmm3vYw8kERGliV3/IvsdqRITbZKG2JUTUXUlqqHW2b0LA2WLNg4MDvm+JM8eSCIiyoL+Q4O+yomctC+Ygfp8bkRZfT7HZCJECZWohlpYl+QHh6wzI9mVU3axN5qI0szuSsfJ7HikCrS1NOGyc5uGp4LkRHDZuVyUnSipPDXURGShiOwSkd0issxmm8+IyPPF9OEPVFKZsC7JHzw85KucsuvqudZzFu3KiSj74oppYbBKpw4Abw8McsmZGhLWZ93VW8BjzxWGp4IMqeKx5wr8LhEllGtDTURyAO4BcBGAmQCWiMjMsm2mA1gOYL6qzgJwQyWV4SV5CtvKtmZcM2/yiN7Da+ZNdpzLSETZFWdMC0NbSxOsZlcrgK89Zr8AMmXLcofFrv0Ia4oJEcXDyzpq5wHYraovA4CIPATgUgDPm7a5DsA9qnoAAFT1zUoqU7r03tm9C6/3D2BiYz3aF8zgJXmqWFdvAU+9uA9HVdHE7xMRxRjTwnLkqHUirPePcDh/rRhwWOx6bM77WH5mfSRKFy8NtSYAe0y39wKYW7bNhwFARJ4BkAPQoao/KX8iEbkewPUAMHmy9dCztpbgY6XrBLCJa+jqLfCHeo1Y0bUTaza/NtwbXcoiCvhcHJSIsiTWmEYUtW9fPsfzthMb6y3XlGXWR6JkCiuZyBgA0wFcAGAJgHtFpLF8I1Vdraqtqto6YcKEkHY92lUO8494eb82dPUWRjTSSjjEg4g8SFRMI3Lip+ORU0yI0sVLQ60AYJLp9pnFMrO9ANar6qCq/grAL2AEuapwmn/Ey/u1obN7l+W8DoDfAaIal7qYRhSWtpYmrFrcjKbGegiApsZ6rFrczFEmRAnlZejjVgDTRWQqjGB2JYCryrbpgtHr+P+IyKkwho28HGI9fWusz6N/YPQ6M0xpXBushnaUcIgHUU1LXUxrshmuBgBX3/ss1lx3fsw1ojQLY4oJEcXD9Yqaqh4BsBRAN4AXADysqn0icruILCpu1g3gLRF5HsBTANpV9a2oKu3F4SPWqfgPHT4Sc00oaTjEg6h2pTGmOZ2znnlpf4w1ISKiOHm5ogZV3QRgU1nZLaa/FcCNxX+JcMgmQ9LhIWVCkRrHz56otqUtprW1NOGGtduqXQ2qEqc1zhryYaUaIKIkqskjnMkkiIiIKA061vfZ3vfNxbNjrAkRxS2zDbXxDfZz0ZzmLxERERElhdV8+xKOECHKtsw21G69ZJbtfTnxvjgkpY/TMBEiIiIiojTIbEPNqZdpSO0St1MWOA1tdbrSSkSUVOxepHLscybKvsw21AAjRb8dXnXJLqehrU5XWomIkurqeZMty3N1wniWYSu6dtrexz5nouzLdEPNqbeJCUVqE8fzE1EarWxrxrixuVHlQ0eV8SzDHtyyx/a+Jq4JSpR5mW6o9R+yn4D7OhOKEBFRihw8bL0+KBNkZZfTVA2uCUqUfZluqE106G062WFYJKUXhwARUVZxShKZcYQIUfZluqHm1NvklO6W0uu2DfbrzRARpZnTlCSnuUxERJROmW6oufU2XX3vszHVhOJywGG4KxFRVq3Z8lq1q0Ah428UIsp0Q83NMy/tr3YVKEbX2GRNIyJKA6ehj8wAmD38jUJENd1Qo9qysq252lUgIqqYXYr+Eg5/rB1Oyw8RUXZkvqE2f9op1a4CxcRpmAgXBiWitHPrbHqAwx8zwy0xVscirglKVAsy31Bbc935jvezBzI7nIaJXD2Xwx6JKNuOcvhjZnSsd06MxYyPRLUh8w01N/dvZg9kLeCwRyIiSossZKYWkYUisktEdovIMov7bxSR50Vkh4j8m4icVY16EiVZTTTUxjdwLHfW8cooEdUCt6RIzBSYfWn44SYiOQD3ALgIwEwAS0RkZtlmvQBaVXU2gEcBfDveWhIlXxqO98BuvcR5LDcDW/o5XRnN18S3nIhqgdvoAGYKTD+3jse7PntOPBUJ5jwAu1X1ZVU9DOAhAJeaN1DVp1T1UPHmZgBnxlxHosSriZ+wbmO5GdjSzW3SdecV58RTESKiBGDnY3qt6Nrp2PEoSM38tCYAe0y39xbL7HwewL9a3SEi14tIj4j07Nu3L8QqEiVfTTTUAA4XybIb1m5zvD8lQY3j+YnIE7d4xs7H9HKbN++2REMaicg1AFoBdFrdr6qrVbVVVVsnTJgQb+WIqmyMl41EZCGAvwOQA/ADVb2z7P5rYRxgpUsb/1tVf1BJhbp6C+hY3zc8kXZ8Qx63XjKroh/b5c/l5JmX9mP+nU/i9f4BTGysx5QP1GPzywcwZFpFtKmxHu0LZljWpau3gM7uXXi9fwAn1+chAvQfGsREh8eYH3vz4ztx8PAQAKPH7Op5kytOgFGqS6F/ADkRDKkO/z++IQ9V4O0B+7pZfQYXzz4DT724b8T7839f3j9ikdX6fB2Oz+eGX/fHzp6AjTvewIFDxvM01ufRscj+s+zqLeDr63bg0ODR4bKxOUHD2DF4e2AQjaa6l97j0nM7mbpso6fPwem9LL3uSp7DC9N4/gth9DxuFZH1qvq8abPSeP5DIvKXMMbzfzb0yhBlXJwxraSrt4DbNvTZng/N55pGm/O0eRs3s2/9CW5vax6OBWYN+Tp8c/Fs23PZiq6deHDLnuHYsWTupOF45HSf+bWWnzcBjHh97w0OYaB4ri/F+dI25fUVMTL3VhoTy+v8wQkN2L3v4HD8ytcBJxyfHxG7frz9jRG/HQSAwvp3gFXMNW+3omsn1mx5bXh/du+/lw5jp/fA7jsGIJY4VqYAYJLp9pk4djwNE5FPArgZwB+r6vtRV4oobUTVOZ9v8QfkL2D6AQlgifkHZDGotarqUq87bm1t1Z6enhFlXb0FtD+yHYNlOYbzOUHn5XN8nVjsniuo+nwOqxY3jzpJL1+3EwODQ54fY37sTY9sx5BFPa+poLHmVhe3ukX1vpXk6wSdV4z+LLt6C7jx4W2Rppd2+hysWL2Xbs8hIs+paqvfuonI+QA6VHVB8fZyAFDVVTbbt8D48Tjf6XmtjrPRz+W3tsnhcvqqbRn+YCs9zoqPjS2mlXT1FtD+6HYMDpXFtuL5EIBrDLns3CY89lzB87ndTZ0Ad33mnFHnMruhd6WreHb3lWKV1XkznxNA4RhXcnWCOjhvU0lMdBtKWAlzHHCKufX5HD46+WTLK5zl7//sW3+C377v/NnmRPDSqk9Z3mf3HasT43Hm99VPLAwQ08bAOM4+AaOBthXAVaraZ9qmBUYSkYWq+ksvz+sW09J82gMY0xyl+cMNENO8DH10nRAals7uXZYn6cEhRWf3rlCeK6iBwaFRdens3uUYPK0eY36sVSMNAB7cssey3IlbXdzqFtX7VjJ41Pqz7OzeFfkaQE6fgxWr99Lvc/gQ2nh+InIUW0wr6ezeNeoHNHDsfOglhjy4ZU9ojTTAWHPN6lxmF3ce3LLH8b4Sq9cyOKSucWXoqPs2lcTESh7jxhwHnD67gcEh22GoR9UYtj9l2UZMWbbRtZEGAEvmTrK9z+47dtSigRxhHBumqkcALAXQDeAFAA+rap+I3C4ii0rVBnACgEdEZJuIrI+0UkQp5GXoo9UPyLkW210mIn8EowflK6o66uwoItcDuB4AJk8ePc7aaTiHl6EeQbYP8txe9mW3jdNjhyroWqnkdZsfE+X75rSPOPbrdz+VfGZxMI3n/2Ob+x2PM6IaF1tMKwkjtlUSD9yUDzF02o/T/s33RXl+rOQ9iOJ9A469zjjjgdPVxCT9RipR1U0ANpWV3WL6+5ORV4Io5cJKJrIBwJTiWhhPAPiR1UZuE0InNtbb7sDpvjC296P84quXfdlt4/TYXAWXeSt53ebHRPm+Oe0jjv363U8ln1kAfsfzL7Ibz8+J10SBhRLTStxim5dzSiXxwIupyzZ62k9OxPG+kijP5ZW8B1G9b6XXGVfscnsVSfqNRETh8dJQc/0BqapvmX40/gDAuZVUpn3BDOTrRp+O8jkZnowc9LnCcBQjJ/22L5iB+nzOdvv6fM62/u0LZiBnU0+nYQ523OriVrco3zfAmJNh9V60L5iBCHcLwPlzsGL1Xvp9Dh+2ApguIlNFZCyAKwGMGAZSHM//jzAaaW9GUQmiGhBbTCtpXzDDmKdVpnQ+9BJDlsyd5Ovc7pUC+NDyY401u7izZO4kx/tKrF5LPieucSVX575NJTGxkse4MccBp88uzM/ruy5rp9l9x+oEo97XCOMYEYXMS0PNyw/IM0w3F8EYj+xbW0sTOq+Yg8b6/HDZ+Ia870Qids9VEkaDwDzuvK2lCasWN6OpsR4CI9PS+IY8BEaGKKdJu20tTfjbK+Zg3NhjJ3RBZZOmy+sCHOtNLP0/viGPxnr7utl9BtfMmzz8+poa6zF/2imj5nXW5+tGvO5r5k3G+IZjz9NYn7dMJFLa712fOcf367VjVWc/iURKdTJ/rpU8h1ccz08Um9hiWklbSxM6L59jez4sP9dYnadXtjWPOh+VznFBHdFjnY8r25pxzbzJI2JHKR453Wd+reX17Lx8DjqvmDPi9dXnj/38GN+Qx99ecWybciKVx0SrOk8/bdyI+JWvw6jYVf7bobR5eRywi7lNjfU4c/zxvutr5e7Pjk76Us7uO3bXZ84Z8d5HGceIKHyuWR8BQEQ+BeBuGKmMf6iqd4jI7QB6VHW9iKyCEcyOANgP4C9V9UWn5/SSjS5qU8qGfPhVaeAga129Bdc10dxU+zMJko0uCsz6WMMy/MEGPc6yGNPm3vEEfv3O4UDP8cqdF4dUGwKC/8Y4Pid48Q7rLI9xSVtMS/NpD2BMc5TmDzdATPPUUItCtYNaydX3PhtocVAGtvBM//pGmJZQ8yUJAQ1IX1ADMn3uq20Z/mCTdpwByYlpQRpsp584FltuvjDkGtWuShtqAmOoYxKueiXtWGNDrYal+cMNENM8LXidZWuuO9/2Pi/rmlx977OOz0HeuTXSxgiwexUbxkREduwaWhfe9TR++eZBx8cGvSJHx6zo2ulpO3b2EpGTsLI+ZtKO2xbipOOcJwMHuRpHx1x419Ou27CRRkRUmSduvGB40WonXb2jks2ST129BddFtk8/cSwbaUTkig01FztuW+i6jdeeM7Ln1tN7vEU2KyIi8m5lWzOmnzbOcZubH2c8C8ptMen5007hEFMi8oQNNQ9OP3Gs4/1rXHrOKLgkzD8jIkq7J268wPH+g4edh/uTO6uFxM04XYKIvGJDzQO3ni/O/QzGbaiNW0OZiIi8u9tlTS4Of6wc3zsiChMbah7Nn3aK4/3mBbDJn79+dLvj/RwiQkQUHrdsgh3r+2KqSfbctsH5vXP7LUFEZMaGmkduQxWYVKRyh4fsr0m69fwSEZF/TrN++wcGY6tH1hw4ZP/e5es47JGI/GFDzYdxY50zQJJ/bsNEkrCODBFR1lztkgGSQ/jC13nFOdWuAhGlDBtqPtzx6WbH+xnY/HMbJkJEROFb2eYcz76+bkdMNakd7HgkIr/YUPPB7STrlpKXRnMbJkJERNEY35C3ve/Q4NEYa0JERFb4UzhEbil5yR8OEyEiis6tl8yqdhUyhWuqElHY2FDzqbHevgeSSzL74xbUOEyEiCg6PMeG636HNVXrOUSEiCrAM4dPHYvseyC5npo/D2zhQuFEREnFedfeub1XqxbPjqkmRJQlbKj5xB7I8Bx1aNk2sPeRiKiqljOhiGdua8/xtwMRVYK/hkPGha/D8U32PhIRRc5pAeYBJhTxjGvPEVEU2FALGRe+9obz04iIqo8LMEdv+mnjql0FIkopNtQq4NQDSd48uGVPtatAREQuOE8tuCduvKDaVSCilGJDrQLsgQxuSJl6hYgo6W56eFu1q5B4nPJARFFhQy0C7IF057SUwTXzJsdWDyKiWpcT+zPyEPvUXHHKAxFFhQ21CHR276p2FRLPKfavbGuOrR5ERLVuydxJ1a5CZnH9NCIKwtMZREQWisguEdktIssctrtMRFREWsOrYvoU+geqXYVE4xVHIqomxrSR3DrHeM6uHNdPI6IgXBtqIpIDcA+AiwDMBLBERGZabHcigC8D2BJ2JZPIKaGI07A+Av760e229zkNwSEiCooxzT+OEqkcMxgTURBerqidB2C3qr6sqocBPATgUovtvgHgWwDeC7F+ieWUUIRD+p0ddpj0wCE4RBQxxjSfOErEnttSM0REQXhpqDUBMOdS31ssGyYiHwUwSVU3Oj2RiFwvIj0i0rNv3z7flU0TDhWpDOenEVHEGNMscDRDZbjUDBFFKfAsVxGpA3AXgJvctlXV1araqqqtEyZMCLrrRLttQ1+1q0BERD7VakzjaIbKOC01M74hH2NNiCiLxnjYpgDAfAY/s1hWciKAjwB4Woweud8BsF5EFqlqT1gVTaLxDXkcODRoeZ9duVdn37wJ75mGCB6fE7x4x6cCPWcl5t7xBH79zuERZaefOBZbbr4w9roQEYWAMc3CyrZm3L/5tUiee0XXTjy4ZQ+GVJETwZK5k6oyeqKrt4Ab1m4bURZlbL31klmRPC8R1Q4vV9S2ApguIlNFZCyAKwGsL92pqm+r6qmqOkVVpwDYDCDTAa0kqpPw1GUbRzTSAOC9IcWUZY6jcEL3oeUbRzXSAODX7xzG3DueqOg5OZ6fiKqMMa0ClZ67r773Wdy/+bXhK09Dqrh/82uxxwKrRhpgxNapEcVWJhIhoqBcG2qqegTAUgDdAF4A8LCq9onI7SKyKOoKJlkUJ+EVXTsdk5HE1Vi7+t5nccShIlYNOC+cxvOPG5ur6DmJiLxiTKvMA1v8X23r6i3YLgZ9/+bXYp3LbdVIK1EYMc8vp/pzzh8RhcHTHDVV3aSqH1bVaap6R7HsFlVdb7HtBbXe8xiEl6Ens2/9SeT1sAuuZpX0iDqN57/j00wkQkTRY0yz5tS4OFpBOuMbHRpHgNF4iuPK2tk3b3Ld5pmX9vtuOH593Q7b+5xiHRGRV4GTiZA9vyd9rwHrt+8PVVKd0OtRyXyGOodORg4TISKqnjATilx977M46mG7OK6slU8lsOPU8LJyaND+FTY11vt6LiIiK2yoRcjvIqFRTeT2y089/PaG5mwaanl+E4mIqirMBB9eRmWURLmgtp9GoFPDy6/2BTNCe660EpGFIrJLRHaLyDKL+/9IRP5DRI6IyOXVqCNR0vHncUBO6Xdf97FIaFRX36K2xmfj0i4OhhgfiYgoRaJcUDvKRqCTWh8hIiI5APcAuAjATABLRGRm2WavAbgWwAPx1o4oPdhQC8gp82ODj+QYNz/ur+GVlKtvfkbhcxFwZ+x9JKIk83oOT0pHIuC/Ecg4FZrzAOxW1ZdV9TCAhwBcat5AVV9R1R2Ap1GyRDWJDbWAnHrNDh72PpfMz7ZJ4zWw+R3/X0vY+0hESef1HO53pAWQnAaSWwKUkiQ1RhOqCYA5zfPeYplvInK9iPSISM++fftCqRxRWrChlgCVBqgoAlslwcfr0BKn8f9OQ0hrBHsfiSjRvM7hqiTfodcGkh+VxEivJ9c1DssVMDV/uFR1taq2qmrrhAkTql0dolixoZYAt23oq+hxHesre5yTSoZUhjG/IKrFw1OEvY9EVHUNVcrsFEXvU5Tz05yy7zM1PwCgAMCcRvTMYhkR+cCGWgicFmr2sojmgUODFe23f6Cyx9mp5lCOWp94HSb2PhJRpb65eHagxydpSKCfhF5mQUerMDU/AGArgOkiMlVExgK4EsCodQqJyBkbaiFwWqjZT4riantwyx73jSqUpOCdUOx9JKKqC9ppFiSOhD2cf6JDg+n0E8fa3hd0tApT8wOqegTAUgDdAF4A8LCq9onI7SKyCABE5PdEZC+AKwD8o4iEP0yIKOXYUAtBlFeDrpk32fH+MAOb03ANp6uGXuoRZSMwI9j7SESp5xRHrpk32XYtTQC46eFtodblY2dPQPnupFiPLTdfaPs4L6NV7GLi2JxwhEiRqm5S1Q+r6jRVvaNYdouqri/+vVVVz1TVcar6AVWt+TkQROXYUEs4twVIK53f5tcdn252XJTabS4Ax+w7Y+8jEaWBl+H8dla2NeNvP3OO7f1DIYaJrt4CHtjy2qjEJlfPmxzKwt5qE9Maxo4J/NxERCVsqFVZ0Ctilc5v86utpQmdV5xje3+QhCLzp51S8WOzhL2PRJR0QYfzx3W16evrduCoRVtq3XN7h/92yjbsFJu7egu2GTDfDnnuOBHVNjbUQuI0RNGpB9LpSlQpiLgNf4yLW4CttNG55rrzK3ocERGFLykxJwi7hpS53CnbsNNyAcsd1pNzmhdHROQXG2ohcRpK4dQD6XQlqhREwhim4capkdVY722NsyhTIRMRUTwqjTlhJI2Kc+Frp85Hp+UCBhzWk2MiESIKExtqCeZ1iEgYgc2pkdWxyNsIO7tUyMz4SESUHXbn9ErW4Sz3149uD/wccTb2yjGRCBGFiQ21KgqrARPGwtdO682YA4/TmP6Tba68MeMjEVF2VHJON89FdpqXfDiEjCIc3UFEWcGGWhU9sMV776NTAymMha/txtWXL9zpNKb/3fePWJY7ZXx0yiRJRETJU0kWX/Nc5KjnJVe60HU5qytz1bxaR0S1hz+Tq8gqI5UdpwZSGNoXzEB9fuS6MPX53Kjx9k7DOo4cVd9BzCmTJBERVYfXuclRCDrapN6hB9BPluGvWyQNsSojIooKG2ox8Rt4yoNJHOPejxtz7OswviGPVYubfe/XKRuWFY7nJyJKHq9zk0vCvNLkZ7RJuRVdO20zPk4/bdyoq3lOGS6tnsfuuYHqNm6JKJs8NdREZKGI7BKR3SKyzOL+vxCRnSKyTUR+JiIzw69q8uVEbO9b4zPwWA0NcQoCQXogu3oLuPHhbSOGUDqtBWP/Kq2zYdm9L07vFxFRVBjT3PntRHOaF1bn81TvZ7RJObtYKwCeuPGCUeVhZlX227glInLj2lATkRyAewBcBGAmgCUWQesBVW1W1XMAfBvAXWFXNA2WzJ1ke1/5kH6ntdXsOAWBNQGybbU/sm1UYDyq9kM8rva5xs68D463LHd6v4iIosCYFo7yK2hO88Kumjs6ZkS1Vpvd9LngKUrccYQIEYXNyxW18wDsVtWXVfUwgIcAXGreQFV/a7o5DvGcExPHT8+c09pqdpyCQKVveFdvAXYjOeyGePh5nV29Bfz8VwdGlc+fdkos68MREZVhTAtBebZhu3lhY3Niea5Py/nfPFqFiUSIKG5eGmpNAMy5ePcWy0YQkS+KyEsweh+/FE71apNThsew3fx4+GucmYNZx/o+DFqMY+l7/Z3Q90tE5AFjmkdOw+3NQ+W7egu2HXsNY8dUtO84G0VOMdc8WsVpKZzyDMlERGEILZmIqt6jqtMAfA3ACqttROR6EekRkZ59+/aFtevU8Bp4os7waHbw8JDtfZVOIbttw7FgZrd0QBhLChARRYUxzfucK/M5v5zTfGfHfVewPmiljTunmGvuZnSKW+UZkomIwuCloVYAYJ5MdGaxzM5DANqs7lDV1araqqqtEyZM8FzJNHFq23i9euU0xNFuXP/pJ4719Nx+XG0xr8CLA4eMYMZhIkSUQIxpHrW1NI3IBmxmLi+d863YrdHpppLOvEoXug5jbhnnpxFRFLw01LYCmC4iU0VkLIArAaw3byAi0003Lwbwy/CqmC5OiTZKV6+CNGBWtjVbNsp+/c7hihKUuO3LjpfhmTes3RZibYiIQsGY5kP5+pol7x856imWOV1pCjuhSMEhoUmQKQXsdCSianFtqKnqEQBLAXQDeAHAw6raJyK3i8ii4mZLRaRPRLYBuBHAn0VV4aRzmyDd1VuoaEiH2a/fOWxZXkmCkkrFOTyTiCgsjGn+OA1d/Pq6Ha5LwzhdafISL8PiFrOcFsnu7N7FxhoRVYWnWb6qugnAprKyW0x/fznkemXWzY/vdJwX5ne9mXIrunZ6zqYV5ApcW0sTvrJ2m20qNLeg5hQUiYiixJjm3cTGetsrVYcGjzouDRN0AeiO9X2ehxQGaTACwHsOC1kX+gfwtcesl6shIooSfy3HzKmRBlivN+OH1/XUunoLjlfgvCQScRrm+dePbnd87KrFs913QEREVeWWJMNp3QIvyUicfoT4mad2f4C1RAH3uXTvH7FvyLHfkYiiwtNLBIJcLQq6tozXxX7cJl17SSTiVNfDQ8414cRrIqLkC3Ku9vLYuz57juP9cQ05DJK1sfOKc8KrCBGRCRtqEYj6atH008YFfg6nSddAehYjJSKi9HJrzFWaydFs/rRTAtcjqscSETlhQy0CUZ+0n7jxgkCPdxvLH7VcpQu0ERFRTXHrVASAC+962vH+NdedH1JtiIjixYZagnjp9fPiQ8s3Ot7vNpY/rHrYWTJ3kvtGRESUCFHHhDEuWbSchj929RbwyzcPhlKPhgqmLTRVuE4cEZEXnrI+kn/1+ToMOGSRsuKn169OgKM208COKDBlmXNjzc78aadE3vvIYZVEROmx5rrzfccUP22e71wxx3HdzRvWbqt4XU4/DalvLp7tez9B5rYREbnhFbWI+J2n5jctf9DskHb8NtLCXrCUiIjSz0+CjbaWJk+ZhivhpyHld9pCQ76O89OIKFJsqEXE78nbb8NrZVszkjDTy+/VMTbsiIjSx8+VKYH/GOgl07Bf008bF2lD6ptcZoaIIsaGWoTcxt2bVTIc0Gkds6TisEciovRpXzDD8w+GSmLTyrbm0NcjqyTxlp+syryaRkRRY0MtQt+5Yo6n7SpNtx92o+ek43IVPc7rVbIwlhUgIqL4tbU0ua55VlJpbApzPTK/0wlKnrjxgkSMViEiAthQi1RbSxPG5txP+UHS7YeZjWvHbQsretzKtmYcH/HrJCKi6vJyBen0E8dG+vxeBZnH/V0PDdIgr5OIyCs21CL27cudr6oFbWitue78wL1/YwR45c6LAz3Hi3d8yvH+Sq/WERFRcrh1ym25+cJAz3+3x6t2Tq6ZNznQiJO2libH2Hx8TgK/TiIiL9hQi1hbSxPu/uw5lmPvw0qF/6s7L3ZsCDkNAZl+2jjsXhWskVbyyp0XW/YynnRcruKrdURElBwv3vEpy8ba6SeODdzhBxyLmV5Go5Sbfto4vHLnxaFMC1hz3fm4Zt7kUR2h18yb7NoxSUQUFlG1WYwrYq2trdrT01OVfRNFRUSeU9XWatejxMtxFlVa7DhU6fSVDhn+YJN2nAGMaZRNSTvW3I6zNJ/2AMY0R2n+cAPENF5RIyIiIiIiShg21IiIiIiIiBKGDTUiIiIiIqKEYUONKCFEZKGI7BKR3SKyzOL+40RkbfH+LSIypQrVJCIicsWYRhQcG2pECSAiOQD3ALgIwEwAS0RkZtlmnwdwQFU/BOC7AL4Vby2JiIjcMaYRhYMNNaJkOA/AblV9WVUPA3gIwKVl21wK4EfFvx8F8AmRNKdBIiKijGJMIwrBmGrt+LnnnvuNiLwa8W5OBfCbiPfBOqSnDkD09Tirwsc1Adhjur0XwFy7bVT1iIi8DeADKHs9InI9gOuLN98VkV0V1ikMkb7fDOlVE+1x5P7BVnqcRSaGmJaEc2gS6gAkox61UgfGtJEY07IpsTGtag01VZ0Q9T5EpKfa63+wDsmpQ5LqESVVXQ1gdbXrAdTG+12L+LmOFnVMS8J7noQ6JKUerEN8GNMoakn+XDn0kSgZCgAmmW6fWSyz3EZExgA4GcBbsdSOiIjIO8Y0ohCwoUaUDFsBTBeRqSIyFsCVANaXbbMewJ8V/74cwJOqLsvdExERxY8xjSgEVRv6GJMkXCpnHQxJqAOQnHqMUByfvxRAN4AcgB+qap+I3A6gR1XXA/gnAP8iIrsB7IcR+JIuke83BcbPNX5JeM+TUAcgGfVgHRwwplHKJPZzFXZeEBERERERJQuHPhIRERERESUMG2pEREREREQJUzMNNRG5SURURE6twr47ReRFEdkhIo+LSGOM+14oIrtEZLeILItrv6b9TxKRp0TkeRHpE5Evx10HU11yItIrIj+uVh1qkYhcUfzsj4pIItPfkjci8kMReVNE/rPadalljGeMZ4xn1cOYlh1piGk10VATkUkA/huA16pUhScAfERVZwP4BYDlcexURHIA7gFwEYCZAJaIyMw49m1yBMBNqjoTwDwAX6xCHUq+DOCFKu27lv0ngMUAflrtilBg9wFYWO1K1DLGM8azIsaz6mFMy477kPCYVhMNNQDfBfDXAKqSOUVV/19VPVK8uRnGeiJxOA/AblV9WVUPA3gIwKUx7RsAoKpvqOp/FP9+B0ZgaYqzDgAgImcCuBjAD+Led61T1RdUdVe160HBqepPYWRno+phPGM8YzyrIsa07EhDTMt8Q01ELgVQUNXt1a5L0X8H8K8x7asJwB7T7b2oQlApEZEpAFoAbKnC7u+G8ePmaBX2TUQUGOMZ41nR3WA8I6oJmVhHTUT+fwB+x+KumwF8HcYwkarVQVX/T3Gbm2EMnVgTdX2SRkROAPAYgBtU9bcx7/tPALypqs+JyAVx7rtWePn+E5E7xrPkYzzLPsY0SopMNNRU9ZNW5SLSDGAqgO0iAhhDNP5DRM5T1f+Kow6mulwL4E8AfELjW7yuAGCS6faZxbJYiUgeRlBbo6rr4t4/gPkAFonIpwAcD+AkEblfVa+pQl0yye37T0TeMJ7ZYjwzMJ7FgDGNkiLTQx9VdaeqnqaqU1R1CoyhEh8NO6i5EZGFMIYpLFLVQzHueiuA6SIyVUTGArgSwPoY9w8xflH8E4AXVPWuOPddoqrLVfXM4nfgSgBPMqgRUZownjGeAYxnRLUm0w21BPnfAE4E8ISIbBORf4hjp8UJ30sBdMOY9PywqvbFsW+T+QD+FMDHi699W7EnkGqEiHxaRPYCOB/ARhHprnadqDIi8iCAZwHMEJG9IvL5ateJYsd4xnhW0xjTsiMNMU3iG7VAREREREREXvCKGhERERERUcKwoUZERERERJQwbKgRERERERElDBtqRERERERECcOGGhERERERUcKwoUZEZENEfkdEHhKRl0TkORHZJCIfFpH/rHbdiIiIvGI8Syc21DJIRJ4SkQuLf68Ukf9V7ToRpU1xcdvHATytqtNU9VwAywGcXt2aEdUWxjSiYBjP0osNtWy6FcDNInI1gBYAN1S3OkSp9DEAg6o6vKCvqm4HsKd0W0SmiMj/X0T+o/jv94vlZ4jIT4sL4v6niPyhiORE5L7i7Z0i8pX4XxJRKjGmEQXDeJZSY6pdAQqfqv602HtyI4ALVHVIRD4I4GYAJ6vq5dWtIVEqfATAcy7bvAngQlV9T0SmA3gQQCuAqwB0q+odIpID0ADgHABNqvoRABCRxqgqTpQljGlEgTGepRSvqGWQiDQDOAPAYVV9BwBU9WVV/Xx1a0aUOXkA94rITgCPAJhZLN8K4M9FpANAc/E4fBnAB0Xkf4nIQgC/rUaFidKGMY0oFoxnCcSGWsaIyBkA1gC4FMC7xQOIiPzrA3CuyzZfAfBrAHNg9DyOBYwrAAD+CEABwH0i8jlVPVDc7mkAfwHgB9FUmyg7GNOIQsF4llJsqGWIiDQAWAfgJlV9AcA3YIztJyL/ngRwnIhcXyoQkdkAJpm2ORnAG6p6FMCfAsgVtzsLwK9V9V4YAeyjInIqgDpVfQzACgAfjedlEKUTYxpRaBjPUkpUtdp1oBiIyAcA3AHgQgA/UNVVVa4SUeKJyEQAd8PoiXwPwCswEhk8rqofKY7jfwyAAvgJgC+q6gki8mcA2gEMAngXwOcAnATg/8GxDrLlqvqvsb0YogxhTCPyh/EsndhQIyIiIiIiShgOfSQiIiIiIkoYNtSIiIiIiIgShg01IiIiIiKihGFDjYiIiIiIKGHYUCMiIiIiIkoYNtSIiIiIiIgShg01IiIiIiKihGFDjYiIiIiIKGHYUCMiIiIiIkoYNtSIiIiIiIgShg01IiIiIiKihGFDjYiIiIiIKGHYUCMiIiIiIkoYNtSIiIiIiIgShg01IiIiIiKihGFDjYiIiIiIKGHYUCMiIiIiIkoYNtSIiIiIiIgShg01IiIiIiKihGFDjYiIiIiIKGHYUCMiIiIiIkoYNtSIiIiIiIgShg01IiIiIiKihGFDjYiIiIiIKGES1VATkVUickOV9t0hIh0Bn+PnIjIrhLrsEZGWoM/j8Pye3+ewXhOlj4i8IiKfrHY9KpGkY6i4PY+jGsSYNvw8iTkeeSzWJsYzx+dnPEuwxDTURGQCgM8B+Mey8k4ReV5ETgthH0tFpEdE3heR+4I+n4XvALg9yBOIyHgAvwPg+VBqNPr5Ld9nB4Ffk2nfju+/iJwiIo+LyEEReVVErgq4v1dEZEBE3hWR/xKR+0TkhCDPabOf40Tkn4p1fkdEtonIRWHvJwoiclXxM3lXRN4QkX8VkT+IYb93i8gBEXlWRM4sq8/fB3zupB1DQEqPo7iOoeK+UnscWWFMMyTweEzlsVh8vtiOR9M+p4vIeyJyf5T7CQPjWUXPz3gWsaDHUGIaagCuBbBJVQdKBSIyA8Afw/iCnhrCPl4HsBLAD0N4LivrAXxMRH4nwHM0A/iFqr4fUp3KXYuy99lFGK+pxO39vwfAYQCnA7gawPcleK/NJap6AoBzALQAWB7w+ayMAbAHxnf1ZAArADwsIlMi2FdoRORGAHcD+CaM93wygO8BuDTi/Z4H4FwYwednAJYVy08G0A7j/QsiaccQkO7jKI5jCEjpceTgWjCmAck7HtN8LALxHY8l9wDYGvE+AmM8q9i1YDyLWqBjKNaGmohcXexxWFvs7dhj6jG9CMC/lz2kDcCDAGYA+GXQ/avqOlXtAvCWh7p+W0S6TLc7ReTfRGSsw/O/B+A5AAsCVHM2gJ3FfYqIfK3Yi9AvIg8XD36ISJ2I3CIib4nI6yKyREQOF3tfnIx4n0Xkf4jIJhG5R0R+U3yuC0N+TaXnsn3/RWQcgMsA/I2qvquqP4NxMvjToPst7vu/AHTDODhL+1QR+ZDp9n0isrL49ysi8lUR2SEibxe/s8fbPPdBVe1Q1VdU9aiq/hjAr2CcvBOp+D26HcAXi5/LQVUdVNUNqtpusf0yEXlJjCsdz4vIp8vu/5qIFIr37xKRTziUTwXws2Lg+TcAHyw+zR0AOlX1twFf3vAxVKxD2MfRqHNVLRxHVsdQcZ+1fBwxprljTEtZTDM9/koA/TDO04nFeMZ4VsF+I41npscHPobivqLWDONNWQugCcDfAfgH0327yrb/OIwPr09VB813iMiPi19Sq38/DqGu34LRY9AiIn8BYCGAxap62OVxLwCYE2C/zQB2FP/+BoyDaB6M3prjANxSvK8DwCdhHMQzAdwA4NeqesDD85vf5znF518P4DQYl7+/VvYYy9cU8mfwYQBHVPUXprLtAEIZBy3GcISLAOz28bDPwPjcp8J4n6/1uK/TYbyePn+1jNX5AI4H8LjH7V8C8IcwrnTcBuB+ETkDGL5KsBTA76nqiTBO3q/YlcN4X/5QROoBfAJAn4i0Apihqg+E8NrMxxAQ/nFkda7K/HFU4TEEZPs4Ykxzx5h2TGpimoicBKPxc2PltYwN45mhA4xnnsQRz8I6hsYEeXAFmgF8V1XXAYCI/DOAzmKLtBHAO2Xbz4bR6/i98idS1T+JsqKq+paIfBfAj2AczH+gqm8Xey6egHEQzFPV/yx76DsAzgiw69kAflz8kfJXAH5XVd8AABF5FMAXxBhTfAOAj6pqoXjfTwD8XvHv82D8YBgEUADwOdOPgkaMfJ9nA7hTVbuLj30exgnM9TWF/BmcAKC85+ltACcGfN4uEdHi8z8J4FYfj/17VX0dAERkA8p6XqyISB7AGgA/UtUX/Vc3Nh8A8BtVPeJlY1V9xHRzrYgsB3AegP8DYAhGsJgpIvtU9RUAKPZKjSov3vcYgM0AXoQR/P4PgM+LyJcAXA5jCNwXVbW/gtc2G8CPi/uJ4jhqhPW5KqvHUZBjCMj2ccSY5o4x7Zg0xbRvAPgnVd0rIpXWNS6MZ4xnXsUZz0I5hqpxRe1R0+3TALxbvIx6AKY3X4wJfgLgLFX9aay1PKYXRp2Xq+qeYtkhABdj5OswOxHGZc4RxBgi827x379aPVCMT/IjMHpP/hDAztIXouhUAG/A6LXZoarmnoBTcOzy+B4AH1fVP4LR42Meoz38Phf31wxgg+n+j2D0pFXL1xSydwGcVFZ2EkafQDy9lyZtxd6vCwCcDX/zQv7L9PchGAe2LRGpA/AvMMZTL/Wxn2p4C8CpIuKps0ZEPidGcod+EemH8T05FQCK38MbYPTmvSkiD4nIRLvy4mO+q6pzVPWzMHqofgrjfHQ9jO/3CyiO9S+rh+NnX3YMAdEcR+XnqqwfR0GOISDbxxFjGmOandTGNBE5B8aVme/6eO5qYjxjPEtUPAvzGIqtoSYijQAmAdhnKr4cQOkN3QHjMmfJSTDeQMuJmGJk83nX5p/bic5LfZsBfB9G7+N/L5UXxz3vs30g8LswLs2OoKprVPWE4j+7TGZTAQyp6qsAJsDoOTC7FMZk1VNhOkBEJAfjEu6O4r7e0GMTQw8DOGp6DvP7PAXGVVXzZe8WANu8vKaQP4NfABgjItNNZXNgMezJ43tZ/ph/B3AfjGxFJYcANJhuVzwxtnhy+ycYE14vKx/WlEDPAngfxpwZRyJyFoB7Yfxo/oCqNgL4Txg/OgEAqvqAqv4BgLMAKIxhVrblpuc+HUYwux3FgFR877bC6NUbwcNnbz6GgGiOo/Jz1RTUwHFkcwwBNXocMaYxprlIc0y7AMZ7+ZqI/BeArwK4TET+o8LnixrjGeNZ0uLZBQjpGIrzilozjEvKV4nIGBG5GMD/hNE7AQCbYGTDKmmF0UuwQ0QuLAbwYap6kelDKf9n+SEV93s8gByAnIgcb9UDIyJNMHoT/qJYx2YRucDtBRaf+1wYw0gqMRvGCQMwDuzzRWSaiJwgIrfD+PHyQxi9M/NF5ENijIH9ewDTYJpwWqzPWQD+G0b2jJjf59kwemfMQa8FpoPP6TX5/Qyc3n9VPQhgHYDbRWSciMyHcQL6F/e3zbO7AVwoIqVx1dtgfB9zIrIQI79/fn0fxonrEvWXPakqVPVtGOPa7xGRNhFpEJG8iFwkIt8u23wcjKC0DwBE5M9hBCEUb88QkY+LyHEA3gMwAOCoXXnZc98FoENVD8FIHPF7Ylx5uADAyxW8NPMxBERzHJWfq2rpOLobI48hoHaPI8Y0d4xp6Yxpq2G8/+cU//0DgI0IIXlEFBjPGM8qdDeii2fhHUOqGss/GMHhRwC6YFy27AHw+6b7TwWwF0A9gNL8hA4Yl5CXhlSHDhgHqPlfh+m+Dhi9ntsBfMn0uK8CeKbsue4D8JGysisArAtQv78B8D3T7ZtgBPZ+AI8AOMN03/eK7+MvAFwH4CCAsab7Tyq+dzPK9mF+n/8GwD+U3TcI4LiwXpPX9794/ynF78dBAK8BuCrg/l4B8Mmysu8DeKz4dyuMnpl3YBz4DwJYafXYYt3vt9lPqXftPRiX6kv/ro7r+ArwHl1dPBYPwrikv7F0XJrfAxgZrPYD+A2MYPTvAL5QvG82gJ8X38f9MMbTT7QrN+374wA2ltXnbhhDMTYDODPoMRTFcWQ+hkz7zORx5HYM1fJxBMY038dj2Meixfuc2WOx+HyOx2NYx6LN6/S0bTX/gfGM8SzA8ZPUY0iKTxA5Efk+jLUgvuuwzTcBvKmqd8dSqZH77gAAVe3wuP19AL6jponXIrIFwOd19GTsSImRwetiVb2keHsMjGw9f6uqo1KC+nmfq/WaiOLm5zjye67icZQ9jGnRYUwjCobxLDvibKj9DEar9Cex7NAnP0FNRDbBuJT5KoB/VNX7Iqya1f7nwehR2QNjAukaGEOFthTv/1MYPTmlS97fV9W1cdaRKOl4HFEQjGnh4bFIFAyPoeyKs6HWD+AcNaU0TZLSeH1VfbqqFfFARP4SxkrueRiXuG9R1U3VrRVRuvA4oiAY08LDY5EoGB5D2RVbQ42IiIiIiIi8iXsdNSIiIiIiInLBhhoREREREVHCeFrFPQqnnnqqTpkypVq7J4rEc8899xtVnVDtepTwOKMsStpxBvBYo2xK2rHG44yyyOk4q1pDbcqUKejp6anW7okiISKvVrsOZjzOKIuSdpwBPNYom5J2rPE4oyxyOs449JGIiIiIiChh2FAjIiIiIiJKGDbUiIiIiIiIEoYNNSIiIiIiooRhQ42IiIiIiChhXLM+isgPAfwJgDdV9SMW9wuAvwPwKQCHAFyrqv8RtGJdvQXcsHab5+1PP3Esttx8YdDdUo25+t5n8cxL+z1vf/dnz0FbS1OENSKiKFUzpt308DYMqbftr5k3GSvbmoPulmoMYxpRtni5onYfgIUO918EYHrx3/UAvh+0Un4baQDw63cOY+4dTwTdNdUQvwENAG5Yuw1dvYWIakREMbgPVYppXhtpAHD/5tewomtn0F1TDWFMI8oe14aaqv4UgNORfymAf1bDZgCNInJGkEp1du+q6HG/fudwkN1SjfEb0Eoq/X4SUfWlKaat2fxakN1SjWFMI8qeMOaoNQHYY7q9t1g2iohcLyI9ItKzb98+2yd8vX8ghGoRRYPfT6JMS0xM83EBjqhiBcY0osSKNZmIqq5W1VZVbZ0wYYLtdhMb6yveBy/hU9QaG/LVrkKoRNL7j6ia4ohpRFHLZehkWu2YxJhGYQujoVYAMMl0+8xiWcU+drZ9wHPDS/jk1fTTxlX0OGU3N1GWhR7T2hfMqOhx48bmguyWasz8aadU9LghBjWixAqjobYewOfEMA/A26r6RpAnfOpF+yEkbjgsjbz6zbuVzWl8e2Aw5JoQUYKEHtPaWppw92fPQc5Hj3muTnDHp5n1kbxbc935FTXWmnjFlyixvKTnfxDABQBOFZG9AG4FkAcAVf0HAJtgpDHeDSOV8Z8HrZRdY0sA/OrOi9HVW8BX1m6zHL/PISbk1YFD9g2uV+68GPPvfNJy7D6/Y0TpVY2YBhiNNac06F29BXR278Lr/QOY2FiP9gUzmDadfOnqLeCVtwYggOV3qKu3gOXrdmJgcGi4rD6fq/iKLxFFz7WhpqpLXO5XAF8MrUYwTjBOP5DbWprQ8+p+3F+WEStfJzzhUGjaF8xgUCPKmGrENC/cGnJETsobYYX+ASxfZyzvUPpelf5nhwBRerg21KrByw/k1rNOwdqtezBoXpiGEzHJh8b6PPothjE21hvJQhjUiIgoDTq7d434zQQAA4ND6OzeNSJmsUOAKF0S2VDz8gO5s3vXyEYagMEhHXVSIrLTsWgW2h/ZjsGjx75H+TpBx6JZw7cZ1IiIKOnsUuxXM/W+iCwE8HcAcgB+oKp3lt1/LYBOHEvW879V9QexVpIo4RLZUAPcfyDbzWNjMhHyilfMiIgoC0SsMxJXK+W7iOQA3APgQhhrEW4VkfWq+nzZpmtVdWnsFSRKicQ21Ny4zWMj8oJXzIiIKO3sMuxXMfP+eQB2q+rLACAiDwG4FEB5Q42IHMS64LUfXb0FzL/zSUxdthHz73xy1ELW7QtmoD4/co0ZJnogP9y+Y0RERFSRJgB7TLf3FsvKXSYiO0TkURGZZHE/ROR6EekRkZ59+ypfvokojRLZUOvqLaD90e0o9A9AYYyxbn90+4gf0m0tTbjs3Cbkitf1cyK47FxeHSFvShmyzN+x5et2srFGRFXDziOqMRsATFHV2QCeAPAjq41UdbWqtqpq64QJE2KtIFG1JbKhdtuGPstEIbdt6Bu+3dVbwNqf78FQ8br+kCrW/nwPAxt54pQhi4gobuw8oiDGN+R9lcegAMB8hexMHEsaAgBQ1bdU9f3izR8AODemuhGlRiIbanYLEZvLO9b3jcjWBwCDRxUd6/vKH0Y0CpPREFGSsPOIgrj1klnI50ZmDsnnBLdeMsvmEZHbCmC6iEwVkbEArgSw3ryBiJxhurkIwAsx1o8oFVKbTMRq/SunciIzJqMhoiRh5xEFkbQsxqp6RESWAuiGkZ7/h6raJyK3A+hR1fUAviQiiwAcAbAfwLVVqSxRgiWyoea2EDFRUF4WVSciCktXb8HxR3RjQ95yNElj9YauUcokLYuxqm4CsKms7BbT38sBLI+7XkRpksihjx2LZiFfV3YJv2wh4gSOx6YUaWtpwqrFzWhqrIcAaGqsx6rFzaOCHCf3E1FQXuafJTC9OhERVVkiG2ptLU3ovGLOiB/RnVfMGfEjeuYZJ1o+1q6cyC9O7ieiMHiZf/a2zbB9u3IiM3YqEmVTIoc+Au6X8De/fMBXOZFZqRFW+vFUaoQBI8f62/24StLwEiJKNi/zzzj0kSrlJZ4RUTol8oqaF0M240HsyonMvPRwc3I/EYXhZJv51eby98rOR27lRCXMGEo1QSS9/wJIbUOtzuZ125UTmXlphNllgGRmSCLywy5Om8sHBo9abmNXTlTCTkWi7EptQ+24MdZVtysnMvPSCGtfMAP1+dyI+5kZkoj86rdZG9SunMiP4/PWv3usyjmXjShdUtuqec+ml9GunMjMSyPMa2bIsIjIQhHZJSK7RWSZxf3Xisg+EdlW/PeFSCpCRKHy0jE0bmzOchu7cqISr7+HmCCLKH0Sm0zEjd2CxZx4TV60tTSh59X9eHDLHgypIieCy84dncAmrnVpRCQH4B4AFwLYC2CriKxX1efLNl2rqksjrxARhaZ9wQy0P7odg0PH5lDnczKiYyifqwMwej6aUU5kz25mfnk5E2QRpU9qI0D7ghnI50YP/H/3vSPsHSJXXb0FPPZcYTj5zJAqHnuuUM3vznkAdqvqy6p6GMBDAC6tVmWIKGTlv5rLbtul4e9nen4KCeeyEaVPahtqbS1NGDd29AXBwaPKTEfkKoFZspoA7DHd3lssK3eZiOwQkUdFZJLVE4nI9SLSIyI9+/bti6KuRORDZ/cuDB4d2TIrj1V2wyMFYOcjhYIJsojSx1NDzcPcmbNE5N+KPyCfFpEzw6/qaHY9kOwdIjcp7VncAGCKqs4G8ASAH1ltpKqrVbVVVVsnTJgQawWJ0iDumOblfNO+YAaskkMqwM5HctRgk0ykvNxqJFL5EFwiShbXhppp7sxFAGYCWCIiM8s2+w6Afy7+gLwdwKqwK2qFvUNUqQR+dwoAzFfIziyWDVPVt1T1/eLNHwA4N6a6EWVGNWKal/NNW0uT7VyjhHcgUZUdl7dOOGNVPjSkjreJKFm8XFHzMndmJoAni38/ZXG/b15SyLYvmIF82cJp+Tr2DpG7BKbe3wpguohMFZGxAK4EsN68gYicYbq5CMALMdaPKCtij2lezzdNyetAohTwuvxDx/o+lOeHPFosJ6Jk8tJQ8zJ3ZjuAxcW/Pw3gRBH5QPkTeZ0709VbQPuj20ekkG1/dLtlY83qpEPkJu7U+25U9QiApQC6YTTAHlbVPhG5XUQWFTf7koj0ich2AF8CcG1VKkuUbrHHNK/nmwR2IFEKeB0hYpeYhglriJIrrPT8XwXwv0XkWgA/hTFka1SeYVVdDWA1ALS2ttpeb79tQ9+INMYAMDikuG1D34jAdtuGPgyVTdAeOjp6O6JyXb0FdHbvwuv9A5jYWI/2BTOq/p1R1U0ANpWV3WL6ezmA5XHXi6gGhRrTAG9LfZTuT9q5iZLNy/IPRJROXhpqXubOvI5i76OInADgMlXtr7RSB2wu45eXe92OyKy06Gcp62Np0U8A/EFElH2xxzQ/4lq7kTLGZfkHABjfkLf8fTSe688SJZaXoY9e5s6cKiKl51oO4IfhVpMoPAlMzU9E8WFMo0zxsvwDANx6ySzLrI+3XjIr8joSUWVcG2oe585cAGCXiPwCwOkA7ghSqcZ6696d8nKv2xGZpTQ1PxGFoBoxjShKXmNaW0sTOi+fM2KuZOflc3gFlyjBPM1R8zB35lEAj4ZVqY5Fs9D+yPYRPUT5OkHHolkVbUdkNrGxHgWLwMbMakS1Ie6YRhQlxjSi7PK04HXc2lqa0HlFWa/PFaN7fdpamvDZ8yYhJ8al/JwIPnveJPYOkSMu+klERFnxsbMneCovzc82Z9Revm6nZUZtIkqGsLI+hs7LhOqu3gIee66AITWuqA2p4rHnCmg96xQ21sgRF/0koiRKYkZaSrYfb3/DsvypF0cuGeE0P5vfMaJkSuQVNS+LXQNMCkGV4aKfRJREvOJBfnX1FmzXQSufo8b52UTpk7iGWldvAe2PlC12/Yj1Ytc86VAluOgnESUROx/Jr5sf32l7X/kcNa8LYxNRciSuodaxvs8yzazV1Q6edIiIKCusEkI4lRMdPDxqHfZh5fOu2xfMQH0+N6KsPp/j/GyiBEtcQ83P1Q6rk47AfmItEQA05K2/9nblRERxKCXG8lpO5MQqAduqxc0jErWtWtzM+WlECZbYZCJetLU0oefV/Viz+TWUrsEpwIQi5Oi4fA6HBstnqRnlRETVUkqM5bWcyC8vidqIKDkSdwlhfIP1YtV25U+9uA/lIYxj+slJ/yGbq7Y25UREcWiyGbZvF/+IiCjbEtdQu/WSWZZrXN16ifUi1kwoQn41jLW+ctbIH0NEVEVWazwCwLvvHWHmR7Jk17i3KyeidElcQ62tpQmdl5ctdn356MWuS+x+XPNHN1np6i3YTr7m6CIiqqa2liaMGzt6RsLgUeUoEbLEBCFE2ZbIOWp+xlC/N2j9o9uunGqb04+dt5men4iqzO48xFEiZKWtpQmP9LyGZ17aP1z20ckncx4aUUYk7oqaXwMWSSGcyqm2Of3Y4bIORFRtXHaG/FjRtXNEIw0AnnlpP1Z02a+vRkTpkfqGGpEfTkNiOVSEiKqNQ9nIjzVbXvNVTkTpksihj34IMCrrY6mcqJzdPLT6fB2HihBR1ZXOQ53du/B6/wAmNtajfcEMnp/Ikl1M45xromxIfUPN7lzEcxRZsZv/8R6HyhJRQnCtKyIiAjj0kWoM539QzRBJ7z8i8mSsxXIOTuWAkf14/p1PYuqyjZh/55ORLf0gIgtFZJeI7BaRZQ7bXSYiKiKtkVSEKMXYUKOa8rGzJ/gqJyKKW1w/pCn9GiyWc3Aq7+otYPm6nSj0D0ABFPoHsHzdztC/YyKSA3APgIsAzASwRERmWmx3IoAvA9gSagWIMiL1DTW7zld2ypKVp17c56uciChOcf2QpmywG85vV97ZvQsDZcsXDQwORbFO33kAdqvqy6p6GMBDAC612O4bAL4F4L2wK0CUBalvqHEiLflhl57fKW0/e7eJKC4x/pCmDPA7nL+SGFihJgB7TLf3FsuGichHAUxS1Y1OTyQi14tIj4j07NvHTlWqLZ4aam7jjEVksog8JSK9IrJDRD4VflWt5WwundmVU23zG9TYu02UPUmOaTH+kKYM8LucQ1LmaYtIHYC7ANzktq2qrlbVVlVtnTCB0xSotrg21DyOM14B4GFVbQFwJYDvhV1RO0M2l87syqm2+Q1q7N0mypakx7Sk/JCmdGhracKqxc1oaqyHAGhqrMeqxc22WUNjnKddADDJdPvMYlnJiQA+AuBpEXkFwDwA65lQhGgkL1fUvIwzVgAnFf8+GcDr4VXRWZNN8LIrp9rW1tKEy85tGr7imhPBZefap8Jm7zZR5iQ6pnHBa/Kjq7fga829GOdpbwUwXUSmishYGB0e60t3qurbqnqqqk5R1SkANgNYpKo9YVeEKM28NNRcxxkD6ABwjYjsBbAJwF+FUjsPGNTIj67eAh57rjB8xXVIFY89V7AdytjYkPdVTkSJF3tM8zPP1e8VEqpdlQzNj6vzUVWPAFgKoBvACzCuUPeJyO0isijUnRFlWFgLXi8BcJ+q/q2InA/gX0TkI6o6YhVhEbkewPUAMHny5FB2XApefnqUqHY5DWW0+s4wWQ1RTQotppV+TJfOO6Uf0wBs4xQXvCYv/MYzwOhkPHBodEbIKDofVXUTjI4Oc9ktNtteEHoFiDLAS0PNbZwxAHwewEIAUNVnReR4AKcCeNO8kaquBrAaAFpbW0P7qcugRl4VbHoN7cr9pj4mosSLNaZV8mOayItKro6x85EoXbwMfXQcZ1z0GoBPAICI/C6A4wEwhyoljt8soZzYT5Q5sca0SoeacVkQclNJfGLnI1G6uDbUPI4zvgnAdSKyHcCDAK5Vjbd/hkGNvPCbJTTGDFlEFIO4Y1olP6a7egtof3T7iLlH7Y9uZ1yjESqZo8/OR6J08bSOmqpuUtUPq+o0Vb2jWHaLqq4v/v28qs5X1Tmqeo6q/r9RVroc17oir/xmCY0xQ5br2k6m7S4TEWUaY6LKxBnTKvkxfduGPgwOjWwXDg4pbtvQV2k1KIMqSTzDBGxE6RJWMpGq4hwA8qp9wYwRE/sB5yDld05bpUxrO10IIwvdVhFZr6rPl213IoAvA9gSagWIKBKVJLyySvbgVE61y+8cfSZgI0qXTDTUuNYVeeU3SOVELIdF2s1pC2B4bScAEJHS2k7Pl233DQDfAtAedgWIKBpMeEVR8buOGsDvI1GaZKKhNrGx3vIKB8dckxU/QcrvnLYArNZ2mmveQEQ+CmCSqm4UEduGWhTLYBBRfBrr8+i3SO7QWM/1G+mYSpZ+IKJ08TRHLemY8IGi4ndOW1REpA7AXTCSHDhS1dWq2qqqrRMm8BggSpuORbN8lVNtcpr2QUTZkImG2uP/YZ00xK6cyKsYJ167re10IoCPAHhaRF4BMA/AeiYUIcqenlf3+yqn2sRpH0TZl4mG2sHDQ77KqXat6NqJacs3YcqyjZi2fBNWdO103L6tpQmXnds0PCctJ4LLzo1kfL/j2k6q+raqnqqqU1R1CoDNABapak/YFSGi6npwyx5f5VSbmGqfKPsy0VAj8mJF107cv/m14fllQ6q4f/Nrjo21rt4CHnuuMOIxjz1XCH3pB49rOxFRDYhxbiylGFPtE2VfJpKJEHnh1Eu9sq3Z8r44l35Q1U0ANpWV3WKz7QWh7pyIIuM3M1+M2WYp5Y4bUzcco8Y35HHrJbOYSIQoQ9hQo5pRSS815wAQURCVZOZbMncS7t/8mmU5ETD6ewUA7w0e9fxYrqNGlA4c+kjkgHMAiCiISjLzrWxrxjXzJo+YG3vNvMm2V/6p9lSa8bHUwCv0D0BxrOMg7OH8RBSOTFxRs1tzBjBOSuwpokq1L5gxqteScwCIyCurNT6dyktWtjWzYUa2Kh3tEedwfiIKLhMNtY5Fs3DD2m3W963v48mHABjj9w8cGt2gd1oTrfTd4TARIqpEkPlmV9/7LJ556VhK/vnTTsGa684PtX6UTo028ayxwXlRdA7nJ0qXRDbU/I6fbmtpsm2o2V1po9rS1VvA2xbfhXxOXK+OtbVEko6fiGpApRkcyxtpAPDMS/tx9b3PsrFGsPv6uCUGndhYb3k1l8P5iZIpcXPUunoLaH90+4jx0+2Pbuf4aQrktg19OGoRwPJ1wkYYEUXG7oq905V8AKMaaW7lVFusOh6dykuY0p8oXRLXULttQx8Gh0b+oh4cUty2oa9KNaIssBoiAgCHPGbJIiKqBH8YUxROrrce4mhXXtLW0oRVi5vR1FgPgdFhsGpxMzssiRIqcUMf7X5Q25UTERElFee5UhTspjh6WWqPw/mJ0iNxDTUiIqIsqeSH8fTTxuGXbx60LCdipzZRbUhcQ80u1X6jy+V8IiKirDh02HpYtl051ZYg2US54DVReiRujlrHolnI14080eTrBB2LZlWpRpQFdqHLwygRIqLYMY06Oak0m2hXbwHtj5QlbHuECduIkipxDbW2liZ0XjFnxETXzivmsLeHAhk7xvqrbldORFRNdunSmUadAPtRRm7ZRDvW92GwLAXy4FFFx3ombCNKIk9DH0VkIYC/A5AD8ANVvbPs/u8C+FjxZgOA01S1sdJKVTKe324x4/Euiz9SbXj/iPVwIbtyIsquuGNaJT529gTcv/k1y3KqbV29Bfz2PYt1Qevc1wW1W1uWa84SJZPr5QQRyQG4B8BFAGYCWCIiM83bqOpXVPUcVT0HwP8CsC6Cujq69ZJZyOfKhkzmBLdewiGTRERkSEtM+/H2N3yVU+24+fGdluuC1nFdUKLM8TLu6zwAu1X1ZVU9DOAhAJc6bL8EwINhVM6PtpYmdF5eNmTycg6ZJCKiEVIR03jlg+wcPDxkWe5lhMi4sTlf5URUXV4aak0A9phu7y2WjSIiZwGYCuBJm/uvF5EeEenZt2+f37q6amtpQvuCGZjYWI/X+wfQ2b2LE2SJiMgsNTGNKGz5nPXPPrtyIqqusNPzXwngUVW17O5R1dUAVgNAa2urc2qiCnT1FrB83U4MDBq7L/QPYPm6nQDAK2tERORX4Ji2omsnHtyyB0OqyIlgydxJWNnW7LpjzrumKLxtc0XWrpyIqstLF0oBwCTT7TOLZVauRBWGiJR0du8abqSVDAwOobN7V5VqRERECRNbTFvRtRP3b35tOGX6kCru3/waVnTtdH0s512Tnfq89U83u3IzZhMlShcvDbWtAKaLyFQRGQsjcK0v30hEzgYwHsCz4VbRO647Q0RELmKLaQ9u2eOr3IzzrsnOwKD1XDS7crMpH7BukNmVE1F1uQ59VNUjIrIUQDeMVMY/VNU+EbkdQI+qlgLclQAeUnVZbTFCExvrUbBolLGnqLY5zVO0W4uGiLIpzphW6aLEJZUsVUPZJwCsvkFiUVZu88sHfJUTUXV5mqOmqpsAbCoru6Xsdkd41aoM150hK7dtsF/Is2MRhxER1Zq4YlpOxLJRlhMvP6kNXb0FdHbvwuv9A5jYWI/2BTPYeKtxds18L83/oJ0HRBSvTKX5eepF66xbduVUG6wm5JfwBw8RRWXJ3Em+yst19RbQ/sh2FPoHoDASZLU/sp3ZjKlidp0EfjoPiCg+mWqocY4aRaWrt4D5dz6Jqcs2Yv6dT/KHEhG5aj3rFOTqRv4AztUJWs86xdPjO9b3YbBsZePBo4qO9fajBCj77DJ/eskIGrTzwA8RWSgiu0Rkt4gss7j/L0Rkp4hsE5GflS88T0QZa6gxmxFFobTsg7lXe/m6nWysEZGjzu5dGCpraA0dVc+ZiLnoNVmZecaJluUXzz7D9bEr25pxzbzJw1fQciK4Zt5kT0tG+CEiOQD3ALgIwEwASywaYg+oarOqngPg2wDuCrUSRBkQ9jpqVdW+YAZuemT7iMCYqxO0L5hRxVpR2jkt+8Chk0Rkxyq5lVM5kZuu3gL+70v7Le/zOs1jZVtz6A0zC+cB2K2qLwOAiDwE4FIAz5c2UNXfmrYfB2/T7IhqSqauqPW8ut+y9/KRntEJRoi84pBaIqpE0PlAdltxNlHt6uzeZduaSVhMagJgXodib7FsBBH5ooi8BOOK2pesnkhErheRHhHp2bePOQeotmSqoWa3Ns0zL+3nMLUaFvTHDofUElElgmbYC5Ldj7LJqTGWxpikqveo6jQAXwOwwmab1araqqqtEyYwizfVlsQ11IIkbXAKfl7nBFD25HPWTTK78nLtC2agPp8bUVafz3FILRE5arL54WxXTuTGrjEmgOeYFFNyrAIAc4aSM4tldh4C0BZFRYjSLFENtaBJG5yGk3BOQO06PGTdgLcrL9fW0oRVi5vR1FgPgfEja9XiZs5PIyJHQTt5Guuts/jZlVP2tS+YYdnJePW8yZ5iUozJsbYCmC4iU0VkLIwF5NebNxCR6aabFwP4ZdiVIEq7RCUTCZq0YcncSZYLXgMAlwihINpamtgwIyJfSueMShes7lg0C+2PbB+Vov9P5rhn96PsKp+LXyfwvORDXMmxVPWIiCwF0A0gB+CHqtonIrcD6FHV9QCWisgnAQwCOADgz0KrAFFGJKqhFjRD1sq2ZtuGmscpAZRB9fk6DAweHVXOXmkiilqQTp62lib0vLp/VFxb+/M9aD3rFHYe1aDbNvShrJ2Go2qUe/k+xJmJVFU3AdhUVnaL6e8vh75TooxJ1NDHoBmyiMp19RZwpDyqwfjidyyaFX+FHHBxUCIq9+Ptb4wq46LXtevAIes19OzKy/F3FlG6JKqhFjRDFlG5zu5dGLSYi3ZyQz5RvdFcHJSIrHDRawoTf2cRpUuihj7mRCxPFuzpoUrZpTLu99j7GCMuDkqUQV29hYrnqBGVa8jX4VCAofxNjfWWwxyZiZQomXhFjTKtscEma5pNeRWFtjgoESVDGBn2GvLWYdqunLKrq7dgOUKkTrwP5edyM0TpkqgzPdecobDZtfHT2vb3sjioiFwvIj0i0rNv3754K0hEw5wy7HklNiNK7Mopuzq7d43KAAoAJx3vfSg/l5shSpdEDX1sXzADy9ftHBHY/Pb02A2fpNqUovkdlSwO+n2rO1R1NYDVANDa2sqDgahK7IZe25VbOXh4yFc5ZZddZka/8YzLzRClR6KuqIXR07Nk7iTb+1Z07QyhlkSR4OKgRBkz0WY0iF25XxEsUkxERAmSqIYaYDTWnln2cfzqzovxzLKP++71WdnWbHvfA1us11gjqjZVPQKgtDjoCwAeLi0OKiKLipstFZE+EdkG4EZwcVCiRAtjPpBTkojbNjBFPxFRliVq6GPULIZ2U8YJrFMjJjGTKBcHJcqWUkdjkKyPHYtm4Ya12yzv87p2FhERpVNNNdSotnT1FiBinTjEaYgsEVFYgs4Hamtpsm2oERFRtnka+igiC0Vkl4jsFpFlNtt8RkSeLw7NeiDcahL5d9uGPsurqMeNqXMcIktE2caYRkREaeB6RU1EcgDuAXAhjLWdtorIelV93rTNdADLAcxX1QMiclpUFSbyym5Y0PtHRi8WSkS1gTGN0oiJY4hqk5craucB2K2qL6vqYRhpwS8t2+Y6APeo6gEAUNU3w62mP8eNsX9ZPNkREdW01MU0Iqe197jWLFF2eWmoNQHYY7q9t1hm9mEAHxaRZ0Rks4gstHqiuBbi/dZls23v87PQKBERZU7qYhqR3RpqAHxlESWidAkrPf8YANMBXABgCYB7RaSxfCNVXa2qraraOmHChJB2PZrTxG0/C41SejldOU1evkciSphExTQnHCVCXLyaKLu8NNQKAMwp8s4slpntBbBeVQdV9VcAfgEjyFXN+AbrtWcabcopW25+3H5x86vnTY6xJkSUMKmLaXbxDOAoESKiLPPSUNsKYLqITBWRsQCuBLC+bJsuGD2PEJFTYQwbeTm8avpnlZLdqZyy5eDhIdv7mPGRqKalLqbdesks2/s4SoSIKLtcG2qqegTAUgDdAF4A8LCq9onI7SKyqLhZN4C3ROR5AE8BaFfVt6KqtBf9A9YZ/+zKiYgo+9IY09pamtBYb31VbSITSRARZZanBa9VdROATWVlt5j+VgA3Fv8RERElVhpj2p/MOQP3b35tVPnHzq7O3DgiIopeWMlEiIiIKCI/3v6Gr3LKDiaMIapdmW2o5cQ6t59dOWWHU1BzWmOPiCipOJy/dnWs76t2FYioSjL7q3XJ3EmW5R+c0BBzTShuTkGtPp+LsSZERNHjFZdsc2qMs+uZKNsy21Bb2daM6aeNG1X+yzcPYkWXfep2Sj+noPY2e5+JKIWcUvTftoFXXGoVl5shyrbMNtQAYPe+g5bla7aMnpBNtYEZ0ogojZxS9B84xA6oWsXlZoiyLdMNNa6lRuXaF8yodhWIiHxra2mqdhWoCjislai2Zbqh5oQnv9rEHztERJQWHNZKVNtqtqH2tcd2VLsKFAE2wImoFl1419PVrgJFgMNaiWpbphtqjfX2k6/fP3I0xppQXJavYwOciGrPL9+0npNN2XUNE4kQZV6mG2odi+wnX1M2DQzaN8Dzmf62E1HWzZ92SrWrQDFyy1DNRCJE2Zfpn65u85E4TK62dF5xTrWrQERUsTXXnV/tKlCM1mxmhmqiWpfphpqbr3OYXKa49T4ykQgRZRnnqWWLU4LqOq50TVQTMt9Qa3JYN+uQwzA5Sp/7HXofGzjukYgyjvPUasdVczk/jagWZP7XK9fNIgD45uLZ1a4CEVFgTp2PlB1uUzM4P42oNmS+oeY23M1tuBxlA4c9ElEWuHU+MqZlQ2f3rmpXgYgSIPMNNTcPbtlT7SpQCObe8US1q0BEFDm3TienIeCUHoX+Adv7nJYeShIRWSgiu0Rkt4gss7j/RhF5XkR2iMi/ichZ1agnUZLVREMtJ/azbofUaboupcWv3zlc7SoQERFFLg1LD4lIDsA9AC4CMBPAEhGZWbZZL4BWVZ0N4FEA3463lkTJVxMNtSVzJznef/W9z8ZUE4qC21Af5hEhoixxW0+NMS3d3D6/lAzlPw/AblV9WVUPA3gIwKXmDVT1KVU9VLy5GcCZMdeRKPFq4ies26TbZ17aH1NNKApuQ324fhoRZYnbemqMaenV1VvIyufXBMA8t2RvsczO5wH8a6Q1IkohTw01D+OMrxWRfSKyrfjvC+FXNVrsgUwnL59bSnofiSgmjGmUVF9Zu83x/rG57C2gJiLXAGgF0Glz//Ui0iMiPfv27Yu3ckRVNsZtA9M44wth9IhsFZH1qvp82aZrVXVpBHVEV28Bnd278Hr/ACY21qN9wQzXH9/mx5zsYeLtMy/tx4eWb8R3PnMOOrt3odA/gDoBjhansDXk6zB2TA79A4MQHFuIUgRQNebBDalifEMeqsDbA4OY2FiPj509AU+9uM9z3a1eKwDHssbiPvsHBoefJyeCJXMnofWsU0ZtV6pb+fOcXJ+HCNB/aHDE3+Z6O30WXb0F3LahDwcOGfWoz9fh+HwOBw4NDr8/Dfk6DBw5OvyezfvgePS9/s5w3cc35HHrJbOGn3NF1048uGUPhlSHX1PpCumHlm/EEQ9TDKcs2zi8jpp57Tzzvsq/L6XX3tiQx/uDQ8OPa6zPo2PRLDb+iFIq7phWfl4E7M89fmLGNfMmO44meOal/Zh7xxMYk8vZPnfpdqF/YPgcbY5l7w0OYaB47hubEwweVdtzdyleNhWf98fb3xi+b0TMLP7dZBGDxo6pw/tHRq9vWnruxrK4NOUD9dj88oER8aH1rFPQsb7PNqaYP5fyc/6BQ4PDMR04Ft/Ncb08Npa/1vLP1vzZl+KH+TWbP+Mpyzbafp4l3758zvDfK7p22n4HxjfkcfHsM0Z9l3pe3W8bU0NWAGCed3JmsWwEEfkkgJsB/LGqvm/1RKq6GsBqAGhtbWViAaopoi7JNETkfAAdqrqgeHs5AKjqKtM218KYEOo5qLW2tmpPT4/rdl29BSxftxMDg0PDZfX5HFYtbrb9sWz1mKRwqrtVvfN1AggwOKSOZXbMjc1y+ZwACgzabVBW78vObcJjzxUsPwsAaH90u6c6ucnnBJ2Xz0HPq/sjz2CWzwk++3uTRr0ux8fUCTqvmGP5GYrIc6raWkldRGQhgL8DkAPwA1W9s+z+GwF8AcARAPsA/HdVfdXpOb0cZw65dhKPuYAcZPiDDXicxRbTunoLtudFr+cep5gx944nUp1IyU8sC7SfYkwxdypG+Ruh9Nmu3bon1Nc2/bRxeOLGCwA4N9Ls2P0euGbeZNvGWqXHmoiMAfALAJ+A0UDbCuAqVe0zbdMCI4nIQlX9pZfndYtpaT7tAYxpjtL84QaIaV6GPnodZ3xZMcXqoyLinL3Dh87uXaNOpgODQ45rjFg9Jimc6m5V78GjOupEb1Vmx6kNNjiknhppgFHvB7fssf0sOrt3hRaQBocUnd27YkkzPTiklq/L8TFHNfQ1bpghiyg2scU0p/Oi13OPU8zYcvOFlVQrMfzEskD7GRp5zo76N0Lpsw37tR06fOxqYyVLC9mF+yiWKVLVIwCWAugG8AKAh1W1T0RuF5FFxc06AZwA4JHiEOP1oVeEKOVchz56tAHAg6r6voj8DwA/AvDx8o1E5HoA1wPA5MmTPT3x6zZridiVu92XBJW8piSwW8ogino7rSETtkqWaIjgNQ9nyAIAESllyBoejqWqT5m23wzgmrArQUQAQoppbucJr+eepMeGNDC/h3G8n1Es/WOud5jPH9UyRaq6CcCmsrJbTH9/MpIdE2WIlytqruOMVfUt09jiHwA41+qJVHW1qraqauuECRM8VXBiY72vcrf7kqCS15QEduvRTWysT3zdnTits2cngtfLDFlE8YgtprmdJ7yee5ye5/QTx3p6jlpnfg/jiFeVxBU35nqH+fxR1JWIwuGlobYVwHQRmSoiYwFcCWDE5WkROcN0cxGMy9yhaF8wA/X53Iiy+nxueBKy18ckhVPdreqdrxNjLplLmZ06h83yOTHmCHhQn89hydxJtp9F+4IZnuuUJPmcWL4ux8fUieP3L2rMkEUUSGwxzem86PXc4xbv0jz80U8sC7Sf3MhzdtS/EUqfbZivrfx74LY+rBW7cF/JcxFRPFwbah7HGX9JRPpEZDuALwG4NqwKtrU0YdXiZjQ11kNgZIpySiRi9ZjG+jzGN+QhMDIhNXrIAulVqSOq1CNVev5SXa+ZN9lz3a1ea+cVc9B5+RzHMqvXlBPBNfMm467PnDNqu+HnuXwOOq+YY/k+mf8u1XtlW7PtZ9HW0oTOy+dgfMOxetTn64Zvl96fhnzdiPds/rRTQv087DTk64YzP5aMb8ij8/I5o15X+ffF/LjG+rxtIpGA/GbIWuSUIcvvlWuiWhFnTLM6LwL25x6/MaPklTsvxvEhNQrMsazedO4bmxPHc3epEVB6Deb7zDUr/W0Vy44bY/2TpPTc5XFp/rRThutbinl3f/acEfsuvdfm99DuNwIwMl9B6W9z7CyvQ/lrNX+2pzSEE9usvgcr25pxzTz7KSTjG/Kjvkt3feYcXDNv8qj3LKKsj0QUAtesj1HxmvUxamffvAnvVTjh9+7PnsM07SG6+t5nAy30mYTPI20Zsozn9Vvb5GCGLAcZ/mCDZH2MSlJi2tRlGxHksHjlzotDq0ut85Ju30kSPoukHWvM+ljD0vzhBohpYSUTSa0X7/iUZbmXtMc3rN1W9YZBlnhppB2fE9vPLM1U9YiIlHr5cwB+WOrlB9CjqusxMkMWALymqotsn5SIas6vbH7cz771J/jt+8nMhpxFK7p2etru9BPHpnr4KhFFq+YbanZKJ063HrEL73p6eF0TqlxX76hRfqOY15DJImbIIqKo7LhtIYDgV3nIG7flZdhAIyIvvCQTqWlOY8AB4JdvHvTUyCBnN67d5nh/1htpRERxmD/tFMf7vV4JInte3kM20ojICzbUXHiZZPvVR7bHUJPs6uot4KjLNmykEREFt+a68x3vv3/za+x8DMjtahoRkVdsqHkw/bRxjvcfOcrZn0Hc/Lhz76PbVU0iIvLO7apa+yPb4qlIjXJ7/4mISthQ84BXc6J18LDzBHemDiYiCs+a6863TYUPAINuQxyoYnVwv6pJRFTChppHbld1rr732ZhqUlvY80hEFL5vXTa72lXIJLdho3d99px4KkJEmcCGmkduV3WCrP9Vy9yCGnseiYjC57a0DDsfK9PZvcvxfi7pQ0R+sKFGVbV83Y5qV4GIiMqw87Eyhf6BaleBiDKEDTUfOAwvfAMOkyEa8vx6EhFFhYmawuWWlp+/IYjIL/4S9sFtGB5TGofrm4s5h4KIKCpM1BQut7T8HMpPRH6xoRYit7HpNNKFdz3teD/H8hMRERFRrWJDLUQcm+7PL988aHufxFgPIiIazW0oH3nHH1tEVAmeO3ziGPN4XM25E0REkRvfkLe9z20oH3nHtPxEVAk21HxyG2M+944nYqpJtnHuBBFR9G69ZFa1q5AJbnPUOZSfiCrBhlrIfv3O4WpXgYiIyBM2IMLhtNRMU2N9jDUhoixhQ42IiIgsMZuxN05LzbQvmBFjTYgoS9hQqwDnqQXnFPwb6+3nTBARUXyYzTg4XrUkokqxoVaBNdedjzEOaQnZA+nu5sfts4l1LOKcCSKiuDh1PjKbsTtmxySiqLChVqHdqy62vY89kO4OHh6yvY+9j0RE8XFKksWlUtytYXZMIoqIp4aaiCwUkV0isltEljlsd5mIqIi0hlfF5LILYK+zB5KIKLEY07zTalcgBZzeo/o8+8OJqHKuZxARyQG4B8BFAGYCWCIiMy22OxHAlwFsCbuSSTXRJpOTXTm5Y+8tEUWJMc0/Duev3KrFs6tdBSJKMS9dPecB2K2qL6vqYQAPAbjUYrtvAPgWgPdCrF+itS+Ygfp8bkRZfT7HDE8unII+F7omoogxplmoc+glu3HtttjqkTUcyk9EQXhpqDUB2GO6vbdYNkxEPgpgkqpudHoiEbleRHpEpGffvn2+K5s0bS1NWLW4GePGHmusvTc4hJ5X91exVslnt95MHbjQNRFFjjHNwlVz7TvJ7BPPE682ElGUAg+eFpE6AHcBuMltW1Vdraqtqto6YcKEoLtOhJ5X949IjKEA7t/8GrNAObBbb4Y/Boio2mo1prGTrDJMHkZEUfLSUCsAmGS6fWaxrOREAB8B8LSIvAJgHoD1tTL5es0W62xPduVERFRVjGkUGi5fQERRGuNhm60ApovIVBjB7EoAV5XuVNW3AZxaui0iTwP4qqr2hFvVZFKbdE925V6cffMmvDc0+glOP3Esttx8YeVP7NOKrp243yLtcJB6cJgIEVUZY1oFVnTtrPiq2+xbf4Lfvj96SZZr5k2O9UpeV28BNz28DeXhdfpp4/DEjReEvj8mxyKioFyvqKnqEQBLAXQDeAHAw6raJyK3i8iiqCtYaz60fKNlIw0Afv3OYZx986ZY6mHXSCvVY+4dT1T0vDc9vM32PqYxJqKoMabZG9+Qt73vgQpHiXxo+UbLRhoQ7zSBrt4Cblg7upEGAL9882DFMc0Jk2MRUVCefhmr6iZV/bCqTlPVO4plt6jqeottL6j1nsdKdfUWcMTlStx7QxpLYLNrpJX8+p3DFT2vTRsUANMYE1E8GNOs3XrJLNv7jlYwSmRF107XmOYWa8Jyg0vmyl+/czj0ER+c90dEQfESRoJ89ZHtnraLOrBdeNfTkT6/HaYxJiKqnrDPwWs8xqqoh8R77dz860e9xWC/z0tEVCk21CLk9yR+pJIuywj88s2DnrZjkCIiIjteI1rH+r5I6+G1wXjYaciHhQe37HHfiIgoADbUIlTpmH4vktBI8ju/gIlEiIhqg5/Y0D8wGFk9unoLnhuMgL8RJUMOWcPmTzvFx16zSUQWisguEdktIsss7v8jEfkPETkiIpdXo45ESceGWkDmxa7L+blAdvW9z/rab1Q9eX4bU36GYXK9GSKiZGust08o4qcR47ejMqqOPL9xx+uIEjdrrjs/lOdJKxHJAbgHwEUAZgJYIiIzyzZ7DcC1AB6It3ZE6cGGWkB3fDqcycLPvLTf1/ZOPXlBLF+3w/djvAbY1x3Wm2lqrPe9XyIiClfHIvuEIn4aMX5H8t+2IZrhj05xhyJ1HoDdqvqyqh4G8BCAS80bqOorqroDwNFqVJAoDdhQCyiMydfVSt5hZWDQ//nSa4CdaNMYEwDtC2b43m/WcJgIEVVbGDHN7wgRADhwKJrhj7m6+FczEy6gBgBNAMxDf/YWy3wTketFpEdEevbt2xdK5YjSgg21BKh0qEUS5qkB3gPsx86eYFn++9NOqfmMjxwmQkRZ4XeESFRWdO2MLEmXUwdrRANeapaqrlbVVlVtnTDB+ncEUVaxoRaCnE33WdQdeWHPU4u64WeXeWvzy8kI6lXGYSJElHkNefufHWGPLvGa7bGcl1gY1ly2DCsAmGS6fWaxjIh8YEMtBEvmTrK+Q6PNdBj2PLU1LpO/HeKr6+t0yrzlMyNyVnGYCBElgl3nIxC8Q++bi2fb3hd246fS0BJ0rdLxDfYJWWrIVgDTRWSqiIwFcCWAUQvKE5EzNtRCsLKtGfUWrZijCJ7p8Jp5kwM93g+3dt8Jx9sHn/ZHtjk+NqqJ4jQah4kQURBOnYBuIzmcOu3mJ2iY+/TTxkX23LdeYp+QpVao6hEASwF0A3gBwMOq2icit4vIIgAQkd8Tkb0ArgDwjyLCHwpEZdhQC4ldEo6CS8YptytRK9ucs0rGNU9t/rRT0O8wF80tB0lUE8UzhMNEiCgRnLLwuo3ksOuUq0O8KevdYusTN14Q2b6T0hitNlXdpKofVtVpqnpHsewWVV1f/Hurqp6pquNU9QOqyhYuURk21KrM6UqTl6tpYc1Tcwtqa6473zZrY1BR9mymCIeJEFEiBMnCa9cp53VibVjTBb72mP+lZoiIkoYNtRg4BR6nK01uV9OA8OapeVk/LaoU+lH2bKYFh4kQUVJU84rQ1ytYy9PK+0fsm4ZOCU1KopxfTkTkFRtqMQg6PyuOiclO66eVYppb8GZgC4bDRIioFsyfdortfYcqWMvTr1JCE6fRHE5xu5J14oiIKsGGWkjGjc3Z3hd0fpbbxOSoG0idV5zjaTsmDCEiyj67mON1znTUc9XcYmKp09FpNIdT3HZaJy7OBGBElH1sqIXkjk+7D1Ms57WB5XYlq2N9tA0k8/6dloazC2xOr3NsLuLF5oiIyLdKrjZVum5Z2IJmWw7Cy5QFIiKv2FALSSVj+t1S2nvVPxBfRsWrK+gtdAqa3758TpDqEBFRBCq52uQ0Y7qx3vsQ/qCjRJyyLXuZn1YSV1ZlIiI7bKhVkdNQfKehlNVUSW+hU9BkGmMiouzrWOR9Sm3QYfRO4zTKF9x2mgNutfA1G29EFCc21ELkFBz89hCWD6WMcty708Rop/V0rDCIERHVHq/zwkrEIWAGndftdGWvvB5+F6e2arwREUWFDbUQOQ0LLE9/7zeoRbnwtdPEaL8p+cuDGDNBEhFlT/m53e9VsKvnJiPpRpijOvwM7yQi8sJTQ01EForILhHZLSLLLO7/CxHZKSLbRORnIjIz/Komn1Njqjz9fdgZEh/YEk0vn1UQyzl1hZap5qRuIiIrjGnBlccwp6tgViMzokq6UUnnoF1E85vqys/wTiIiL1wbaiKSA3APgIsAzASwxCJoPaCqzap6DoBvA7gr7IpmjVNQq2SY49Fw1r32ZMncSZ63dZqfRkQUN8a0cPgZnuh3ZAZQ+SiRv350u+/H2I2G8Zs8i3OuiShsXq6onQdgt6q+rKqHATwE4FLzBqr6W9PNcXAeIk4u7Hoak7I+i5+e0DqHLkmn9M9ERBFhTPPIz+gJJ5U0YCqdC3Z4yP6jsouhK9uacc28ySPiVX2+Dq1njVyY2+lqHeMZEUXBS0OtCcAe0+29xbIRROSLIvISjN7HL1k9kYhcLyI9ItKzb9++SuqbakHna0U1VOT0E8dals+fdopluRvz63S60ueU/pmIKCKMaR55HT1RaWzzkyo/DE4xtPWsU0Y0TAcGj6L9ke0jXpvTmqWHDjukcSYiqlBoZ0lVvUdVpwH4GoAVNtusVtVWVW2dMGFCWLtOjdJJPkiDzSmVcCXPO/vWn+DX7xweVX76iWOx5rrzfT8fcGzuAhOJEFFaMaa5dw6WzvFOc66drsqVp8oPavatP6n4sR3r+zBY1rM4eFRHNM6c1ix9ncP8iSgCXhpqBQDmbrUzi2V2HgLQFqBOmVU6yQdJsOGUStipt8/KhXc9jd++P2R532/edZ5/4JS2vzR3oTzTJRFRAjCmhaQUc5zmqw2p/bCKsOd02cUzL+waYU6NM7OJPpeyISLywktDbSuA6SIyVUTGArgSwHrzBiIy3XTzYgC/DK+K6eJlHlmQBBtOgc1rQCn55ZsHbe9zCq6At8nh5ZkuzZzmrhERRYgxzQenURxeYo7ftTjNkjIqw0s9KkmYQkTkxrWhpqpHACwF0A3gBQAPq2qfiNwuIouKmy0VkT4R2QbgRgB/FlWFk87LPDKnNsqYhLRg3CaRu/WEOi2iDQBXJWQNHSKqLYxp/rgtCO2WndGtAeM0F9rvKBEnbp2oTg3Smx/f6RrTmPGRiKLgaY6aqm5S1Q+r6jRVvaNYdouqri/+/WVVnaWq56jqx1Q13EXCMsbpWtV3rpgT6LmDLHxt5icFvxWnRbSB6BKjEBG5YUzzzq0B4raGp9vjneZC+xkl4nbVyy3mODVIDx4eco1pRERRiDflUo1wuih24V1POz42aK+c15TGQYMaEGxICxERpV/Ua3i6xcySmx7eFmg/vCJGREnEhloEnIb1Oc0L82psLvjwyPZHtgV/jgrH5Ie1Ng8RESVXfQjp973GTIfl0yLHmEZEUWFDLQKVDuvzuqbMty8PNjwSABzyfGDc2Jyn56i0BzLosEoiIopPpWtqrvKYft+tmeM2AsTtqpvX+nuNfeUY04goKmyoJYjXNWWCJvJwm8d2x6ejnT/G+WlEROlR6ZqaXjvzrnZJ9OGWVMTtqpvX+lca+xjTiCgqbKglRE7CGyPvNunZbR4bx+oTEVFc3Bo6TklF3Doep582znM9GPuIKGnGVLsCWTX9tHG+5qP5nZDdkK/DIYfxi1OWbfT3hBVqaqz3tS6cUwpkIiJKpsb6vK8sjH7np43NCQ47TDSrNKY9ceMFvrYXAVyWER2BSbWIKEq8ohYRv8Fhos+Tvddhkn75nYvgN6GI25o8RESUPB2L/J27vc5PKwlj7nUYrva5xicXuiaiKLGhFiG3BTbN/J7s21qaIlkc2+9cBL9DRTi0hIgofaI+17e1NP1/7d19qGR1Hcfx96e7rpL5AJoPrFurtBaLzy2mSWGpsT7gahhqaEaiBAlmQmQGkSUaQRplRJkYuWiRWksWaqjYHyXuqqtutrGZpeIDlpQWYeq3P2Y2bqvrvTt37jlnZt4vWJhz7pn9fWfOnfnc75zfnLNVmTlftvb7ZmaapPlkozaPZvuGf8ZhbxvozX6uF8fe3I7bDnbGq635DoAkabwNepbIYZ+U48pTDxrq/7e5QR+nJM2WjVoHDBpOJx28aODmanMBHvzSioHuO9tpnjZ0kjS6ZtuYDHqWyGHafYeFAx/tGqXHKWm82ajNs5ne8OfavAzaXG3uT5cfP6f7z2bKytZ+b0+S1B2rzjmcBTPMuJ/rUaxhHAVbELjn4mMGvv+qcw5nu6k3fqB+8CipCTZq82zVOYdvsVlbutv2Q2leHrv8+BlDZUu2mwqPzbFJg95RwS01a8MaQ5LUro2XHc/uOyx8zfrQa7Lm+p2tkw5exJWnHjTwxaeX7rY9Gy+be978/tLjttiMDSu7JWkmqa05D+0QLV++vNasWdPK2NJ8SbK2qpa3Xccms3mdZfjnpGlMS29fo2GMd2zXXmdgpmk8de21NtPrbJTf9sBMe0OjvHPnkGkeUZMkSZKkjrFRkyRJkqSOsVGTJEmSpI6xUZM6IsmKJBuSbEzyudf5+bZJftT/+T1JlrRQpiRJMzLTpLmzUZM6IMkUcBVwLLAMOD3Jss02Oxt4vqreAVwBfLXZKiVJmpmZJg2HjZrUDYcCG6vq0ap6CbgBWLnZNiuBH/Rv/wQ4Khnl0yBJksaUmSYNwYK2Bl67du1zSf48z8PsCjw3z2NYgzVM9/YB77cIeHza8hPAe7a0TVW9nOTvwC5s9piSnAuc2198McmGAWsahnl9zo301szva2nmHTvo62zemGnWMKY1mGn/z0wbT53NtNYatap663yPkWRN29f/sAZraFpVfRf4btt1wOQ855PG/fpaZpo1TGINTTDTNN+6vF+d+ih1w5PA4mnLe/XXve42SRYAOwF/baQ6SZJmz0yThsBGTeqGe4GlSfZOshA4DVi92TargbP6t08B7qia4XL3kiQ1z0yThqC1qY8N6cKhcmvosYY30J+ffx5wKzAFXFNV65NcAqypqtXA94EfJtkI/I1e8HVdZ59zzYn7tR1deN6tocca3oCZphHT2f0aP7yQJEmSpG5x6qMkSZIkdYyNmiRJkiR1zMQ0akkuTFJJdm1h7K8l+X2SB5PcnGTnBsdekWRDko1JPtfUuNPGX5zkziS/S7I+yflN1zCtlqkk9yf5eVs1TKIkH+nv+1eTdPL0t5qdJNckeTbJw23XMsnMs3byrF9DJzLNPGuPmTY+RiHTJqJRS7IY+BDwl5ZKuB3Yr6oOAP4AXNTEoEmmgKuAY4FlwOlJljUx9jQvAxdW1TLgMOBTLdSwyfnAIy2NPckeBj4M3N12IZqza4EVbRcxycyzVvMMupNp5ll7zLTxcS0dz7SJaNSAK4DPAq2cOaWqbquql/uLv6V3PZEmHApsrKpHq+ol4AZgZUNjA1BVT1XVff3bL9ALlkVN1gCQZC/geODqpseedFX1SFVtaLsOzV1V3U3v7Gxqj3nWUp5BNzLNPGuXmTY+RiHTxr5RS7ISeLKq1rVdS98ngF82NNYi4PFpy0/QQpO0SZIlwMHAPS0MfyW9P25ebWFsSZoz86w7eQatZtqVmGfSRBiL66gl+RWwx+v86GLg8/SmibRWQ1X9rL/NxfSmTaya73q6JslbgBuBT1fVPxoe+wTg2apam+TIJseeFLP5/Zc0M/NsNLSVaeZZM8w0dcVYNGpVdfTrrU+yP7A3sC4J9KZo3Jfk0Kp6uokaptXyceAE4Khq7uJ1TwKLpy3v1V/XqCTb0Au0VVV1U9PjA0cAJyY5DtgO2DHJdVV1Rgu1jKWZfv8lzY55tkWdyDNoPdPMswaYaeqKsZ76WFUPVdVuVbWkqpbQmypxyLBDbSZJVtCbpnBiVf2rwaHvBZYm2TvJQuA0YHWD45PeXxTfBx6pqq83OfYmVXVRVe3V/x04DbjDUJM0Ssyz9vMM2s8080yaLGPdqHXIt4AdgNuTPJDkO00M2v/C93nArfS+8PzjqlrfxNjTHAGcCXyw/9gf6H8SqAmR5OQkTwCHA7ckubXtmjSYJNcDvwHemeSJJGe3XZMaN8l5BmbaxDPTxscoZFqam7UgSZIkSZoNj6hJkiRJUsfYqEmSJElSx9ioSZIkSVLH2KhJkiRJUsfYqEmSJElSx9ioSdIWJNkjyQ1J/phkbZJfJNk3ycNt1yZJ0myZZ6NpQdsFSFIX9S9sezPwg6o6rb/uQGD3VguTJGkrmGejyyNqYyjJnUmO6d/+SpJvtl2TNII+APynqv53Qd+qWgc8vmk5yZIkv05yX//fe/vr90xyd/9iuA8neV+SqSTX9pcfSnJB8w9JGj1mmjRn5tmI8ojaePoicEmS3YCDgRNbrkcaRfsBa2fY5lngmKr6d5KlwPXAcuCjwK1VdWmSKeDNwEHAoqraDyDJzvNVuDRmzDRpbsyzEWWjNoaq6u7+Ye7PAEdW1StJ9gEuBnaqqlParVAaG9sA30pyEPAKsG9//b3ANUm2AX5aVQ8keRTYp3804BbgtjYKlkaNmSY1wjzrIKc+jqEk+wN7Ai9V1QsAVfVoVZ3dbmXSSFkPvHuGbS4AngEOpPfJ40Lo/WEJvB94Erg2yceq6vn+dncBnwSunp+ypfFipklzZp6NKBu1MZNkT2AVsBJ4McmKlkuSRtUdwLZJzt20IskBwOJp2+wEPFVVrwJnAlP97d4OPFNV36MXYIck2RV4U1XdCHwBOKSZhyGNLjNNGgrzbETZqI2RJG8GbgIurKpHgC/Tm9svaStVVQEnA0f3T2e8HrgMeHraZt8GzkqyDngX8M/++iOBdUnuB04FvgEsAu5K8gBwHXBRE49DGlVmmjQc5tnoSm/fadwl2QW4FDgGuLqqLmu5JEmSBmKmSZoENmqSJEmS1DFOfZQkSZKkjrFRkyRJkqSOsVGTJEmSpI6xUZMkSZKkjrFRkyRJkqSOsVGTJEmSpI6xUZMkSZKkjrFRkyRJkqSO+S+dtgm2dgN0IwAAAABJRU5ErkJggg==\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Inference Model (Discriminative)\n", + "\n", + "$\\textbf{Inputs}$:\n", + "\n", + "Training data $\\{x_i \\in \\mathbb{R}^{n_0}, \\ell_i \\in \\{-1, 1\\}\\}_{i = 1}^{m}$ and test data $\\{x_{t_i} \\in \\mathbb{R}^{n_0}\\}_{i = 1}^{m}$\n", + "\n", + "$\\textbf{Model}$: \n", + "\n", + "Random-Fourier features for a single set of training or test covariates $x \\in \\mathbb{R}^{n_0}$ are computed using:\n", + "$$\\phi_j(x) = \\sqrt{\\frac{2}{j}}cos(w_j^Tx + b_j), \\text{ with } j \\in \\{1, 2, .., n_1\\}, w_j \\sim \\mathcal{N}(0, 2\\lambda\\mathbb{I}_{25}) \\text{ and } b_j \\sim \\mathcal{U}(0, 2\\pi)$$\n", + "\n", + "Let:\n", + "- $\\Phi(x) \\in \\mathbb{R}^{n_1}$ be the random-Fourier features of $x$\n", + "- $X \\in \\mathbb{R}^{n_0 \\times m}$ be the training covariates\n", + "- $\\ell \\in \\{-1, 1\\}^m$ be the training labels\n", + "- $X_t \\in \\mathbb{R}^{n_0 \\times m}$ be the test covariates\n", + "\n", + "Define kernel-function $k(\\cdot, \\cdot\\cdot) := \\frac{1}{n_1}\\sigma\\bigg(\\frac{\\Phi(\\cdot)}{\\sqrt{n_0}}\\bigg)^T\\sigma\\bigg(\\frac{\\Phi(\\cdot\\cdot)}{\\sqrt{n_0}}\\bigg) \\in \\mathbb{R}$.\n", + "\n", + "We predict test labels $\\hat{\\ell}_t$ as:\n", + "\n", + "$$\\hat{\\ell}_t = sgn(K^{-1}K_x\\ell), \\text{ with } K = k(X, X) \\text{ and } K_x = k(X, X_t)$$" + ], + "metadata": { + "id": "c_k6gkgcQsu7" + } + }, + { + "cell_type": "code", + "source": [ + "def get_fourier_features(n1, x, b, w, device=\"cuda\"):\n", + "\n", + " #b = 2*torch.pi*torch.rand(n1).type(torch.float64).to(device) # Size: (n1, )\n", + " #w = 2*lambda_*torch.randn((x.shape[1], n1)).type(torch.float64).to(device) # Size: (n0, n1)\n", + " cosine_term = torch.cos(w.T @ x.T + b.unsqueeze(-1)) # Size: (n1, m)\n", + " multiplier = torch.sqrt(2*torch.tensor([1./j for j in range(1, n1 + 1)]).unsqueeze(-1).expand((n1, x.shape[0]))).type(torch.float64).to(device) # Size: (n1, m)\n", + " return cosine_term*multiplier # Size: (n1, m)\n", + "\n", + "def run_ensembles(n0, m, k_P_values, data_gen_fn, lambda_ = 1.0, r_values=None, device=\"cuda\", seed=123, activation=torch.tanh, eps = 1e-6):\n", + " \n", + " if not r_values:\n", + " \n", + " r_values = np.logspace(-2, 1, 10)\n", + "\n", + " torch.manual_seed(seed)\n", + "\n", + " # Generate test data\n", + " X_test, _, _, _, L_test = data_gen_fn(m, n0)\n", + "\n", + " # Data sampling (training data)\n", + " X, _, _, _, L = data_gen_fn(m, n0)\n", + "\n", + " # Set precision and push data to device\n", + " X_test = X_test.type(torch.float64).to(device)\n", + " L_test = L_test.type(torch.float64).to(device)\n", + " X = X.type(torch.float64).to(device)\n", + " L = L.type(torch.float64).to(device)\n", + "\n", + " # Begin ensembling\n", + " ensemble_results_mc = {}\n", + " #ensemble_results_ce = {}\n", + "\n", + " for k_P in k_P_values:\n", + "\n", + " print(f\"Evaluating for k_P={k_P}...\")\n", + " mc_errors = []\n", + " #cr_entropies = []\n", + "\n", + " aggregate_labels = torch.zeros(m, dtype=torch.float64).to(device)\n", + "\n", + " for r in tqdm(r_values):\n", + "\n", + " for _ in range(k_P):\n", + "\n", + " # Model init - ensemble\n", + " n1 = int(m * r)\n", + " b = 2*torch.pi*torch.rand(n1).type(torch.float64).to(device) # Size: (n1, )\n", + " w = 2*lambda_*torch.randn((n0, n1)).type(torch.float64).to(device) # Size: (n0, n1)\n", + " Phi_X = get_fourier_features(n1, X, b, w, device)\n", + " Phi_X_test = get_fourier_features(n1, X_test, b, w, device)\n", + "\n", + " # Fit model and compute prediction y_hat\n", + " K_X = Phi_X.T @ Phi_X / n1\n", + " K_X += eps * torch.eye(m, dtype=torch.float64).to(device) # for numerical stability\n", + " K_X_test = Phi_X.T @ Phi_X_test / n1\n", + " L_hat = torch.sign(L.unsqueeze(0) @ torch.linalg.solve(K_X, K_X_test)).squeeze(0) # Size: (m, )\n", + "\n", + " # Aggregate \n", + " aggregate_labels += L_hat\n", + "\n", + " # break ties randomly\n", + " tied_indices = aggregate_labels == 0\n", + " random_labels = torch.bernoulli(torch.zeros(torch.sum(tied_indices).item()) + 0.5)\n", + " random_labels[random_labels == 0] = -1.\n", + " aggregate_labels[aggregate_labels == 0] = random_labels.double().to(device)\n", + "\n", + " mc_error = torch.sum(aggregate_labels != L_test).item()/L_test.shape[0]\n", + " #cr_entropy = ...\n", + "\n", + " mc_errors.append(mc_error)\n", + " #cr_entropies.append(cr_entropy)\n", + "\n", + " ensemble_results_mc[k_P] = mc_errors\n", + " #ensemble_results_ce[k_P] = cr_entropies\n", + "\n", + " return ensemble_results_mc #, ensemble_results_ce\n", + "\n", + "def run_bagging(n0, m, k_D_values, data_gen_fn, lambda_ = 1.0, r_values=None, device=\"cuda\", seed=123, activation=torch.tanh, eps = 1e-6):\n", + "\n", + " if not r_values:\n", + " r_values = np.logspace(-2, 1, 10)\n", + "\n", + " torch.manual_seed(seed)\n", + "\n", + " # Generate test data\n", + " X_test, _, _, _, L_test = data_gen_fn(m, n0)\n", + "\n", + " # Set precision and push test data to device\n", + " X_test = X_test.type(torch.float64).to(device)\n", + " L_test = L_test.type(torch.float64).to(device)\n", + "\n", + " # Begin bagging\n", + " bagging_results_mc = {}\n", + " #bagging_results_ce = {}\n", + "\n", + " for k_D in k_D_values:\n", + "\n", + " print(f\"Evaluating for k_D={k_D}...\")\n", + " mc_errors = []\n", + " #cr_entropies = []\n", + "\n", + " aggregate_labels = torch.zeros(m, dtype=torch.float64).to(device)\n", + " \n", + " for r in tqdm(r_values):\n", + " \n", + " # Model init\n", + " n1 = int(m * r)\n", + " b = 2*torch.pi*torch.rand(n1).type(torch.float64).to(device) # Size: (n1, )\n", + " w = 2*lambda_*torch.randn((n0, n1)).type(torch.float64).to(device) # Size: (n0, n1)\n", + " Phi_X_test = get_fourier_features(n1, X_test, b, w, device)\n", + "\n", + " for _ in range(k_D):\n", + "\n", + " # Generate train data\n", + " X, _, _, _, L = data_gen_fn(m, n0)\n", + "\n", + " # Set precision and push train data to device\n", + " X = X.type(torch.float64).to(device)\n", + " L = L.type(torch.float64).to(device)\n", + "\n", + " # Get Train Fourier Features\n", + " Phi_X = get_fourier_features(n1, X, b, w, device) \n", + "\n", + " # Fit model and compute prediction y_hat\n", + " K_X = Phi_X.T @ Phi_X / n1\n", + " K_X += eps * torch.eye(m, dtype=torch.float64).to(device) # for numerical stability\n", + " K_X_test = Phi_X.T @ Phi_X_test / n1\n", + " L_hat = torch.sign(L.unsqueeze(0) @ torch.linalg.solve(K_X, K_X_test)).squeeze(0) # Size: (m, )\n", + "\n", + " # Aggregate \n", + " aggregate_labels += L_hat\n", + "\n", + " # Break ties randomly\n", + " tied_indices = aggregate_labels == 0\n", + " random_labels = torch.bernoulli(torch.zeros(torch.sum(tied_indices).item()) + 0.5)\n", + " random_labels[random_labels == 0] = -1.\n", + " aggregate_labels[aggregate_labels == 0] = random_labels.double().to(device)\n", + "\n", + " mc_error = torch.sum(aggregate_labels != L_test).item()/L_test.shape[0]\n", + " #cr_entropy = ...\n", + "\n", + " mc_errors.append(mc_error)\n", + " #cr_entropies.append(cr_entropy)\n", + "\n", + " bagging_results_mc[k_D] = mc_errors\n", + " #bagging_results_ce[k_D] = cr_entropies\n", + "\n", + " return bagging_results_mc #, bagging_results_ce\n", + "\n", + "# The training X is fixed in the beginning and each bagging step takes samples from this instead of newly sampling\n", + "def run_true_bagging(n0, m, k_D_values, data_gen_fn, lambda_ = 1.0, r_values=None, device=\"cuda\", seed=123, activation=torch.tanh, eps = 1e-6):\n", + "\n", + " if not r_values:\n", + " r_values = np.logspace(-2, 1, 10)\n", + "\n", + " torch.manual_seed(seed)\n", + "\n", + " # Generate training and test data\n", + " X, _, _, _, L = data_gen_fn(m, n0)\n", + " X_test, _, _, _, L_test = data_gen_fn(m, n0)\n", + "\n", + " # Set precision and push data to device\n", + " X_test = X_test.type(torch.float64).to(device)\n", + " L_test = L_test.type(torch.float64).to(device)\n", + " X = X.type(torch.float64).to(device)\n", + " L = L.type(torch.float64).to(device)\n", + "\n", + " # begin true bagging\n", + " bagging_results_mc = {}\n", + " #bagging_results_ce = {}\n", + "\n", + " for k_D in k_D_values:\n", + " \n", + " print(f\"Evaluating for k_D={k_D}...\")\n", + " mc_errors = []\n", + " #cr_entropies = []\n", + "\n", + " aggregate_labels = torch.zeros(m, dtype=torch.float64).to(device)\n", + " \n", + " for r in tqdm(r_values):\n", + " \n", + " # Model init\n", + " n1 = int(m * r)\n", + " b = 2*torch.pi*torch.rand(n1).type(torch.float64).to(device) # Size: (n1, )\n", + " w = 2*lambda_*torch.randn((n0, n1)).type(torch.float64).to(device) # Size: (n0, n1)\n", + " Phi_X_test = get_fourier_features(n1, X_test, b, w, device)\n", + "\n", + " for _ in range(k_D):\n", + "\n", + " # Data sampling - bagging\n", + " sample_indices = torch.randint(low=0, high=m, size=(m,))\n", + " X_sample = X[sample_indices, :]\n", + " L_sample = L[sample_indices]\n", + " Phi_X = get_fourier_features(n1, X_sample, b, w, device)\n", + "\n", + " # Fit model and compute prediction y_hat\n", + " K = Phi_X.T @ Phi_X / n1 \n", + " K += eps * torch.eye(m, dtype=torch.float64).to(device) # for numerical stability\n", + " K_X_test = Phi_X.T @ Phi_X_test / n1\n", + " L_hat = L_sample.unsqueeze(0) @ torch.linalg.solve(K, K_X_test)\n", + "\n", + " # Aggregate \n", + " aggregate_labels += L_hat.flatten()\n", + "\n", + " # Break ties randomly\n", + " tied_indices = aggregate_labels == 0\n", + " random_labels = torch.bernoulli(torch.zeros(torch.sum(tied_indices).item()) + 0.5)\n", + " random_labels[random_labels == 0] = -1.\n", + " aggregate_labels[aggregate_labels == 0] = random_labels.double().to(device)\n", + "\n", + " mc_error = torch.sum(aggregate_labels != L_test).item()/L_test.shape[0]\n", + " #cr_entropy = ...\n", + "\n", + " mc_errors.append(mc_error)\n", + " #cr_entropies.append(cr_entropy)\n", + "\n", + " bagging_results_mc[k_D] = mc_errors\n", + " #bagging_results_ce[k_D] = cr_entropies\n", + "\n", + " return bagging_results_mc #, bagging_results_ce\n", + "\n", + "\n", + "def plot_ensembles_bagging(ensemble_results, bagging_results, true_bagging_results, k_D_values, k_P_values, r_values=None, save_filename=\"results.png\"):\n", + " if not r_values:\n", + " r_values = np.logspace(-2, 1, 10)\n", + "\n", + " fig, ax = plt.subplots(1, 3, figsize=(15, 5), sharey=True)\n", + "\n", + " for k_D, mses in bagging_results.items():\n", + " ax[0].plot(r_values, mses, '--o')\n", + "\n", + " _ = ax[0].legend([f\"$k_D={k}$\" for k in k_D_values])\n", + " _ = ax[0].set_xlabel(\"$ n_1/m $\")\n", + " _ = ax[0].set_ylabel(\"$E_{\\mathrm{test}}$\")\n", + " _ = ax[0].set_xscale(\"log\")\n", + " _ = ax[0].set_title(\"Bagging\")\n", + " _ = ax[0].grid()\n", + "\n", + " for k_D, mses in true_bagging_results.items():\n", + " ax[1].plot(r_values, mses, '--o')\n", + "\n", + " _ = ax[1].legend([f\"$k_D={k}$\" for k in k_D_values])\n", + " _ = ax[1].set_xlabel(\"$ n_1/m $\")\n", + " _ = ax[1].set_xscale(\"log\")\n", + " _ = ax[1].set_title(\"Bootstrap Bagging\")\n", + " _ = ax[1].grid() \n", + "\n", + " for k_P, mses in ensemble_results.items():\n", + " ax[2].plot(r_values, mses, '--o')\n", + "\n", + " _ = ax[2].legend([f\"$k_P={k}$\" for k in k_P_values])\n", + " _ = ax[2].set_xlabel(\"$ n_1/m $\")\n", + " _ = ax[2].set_xscale(\"log\")\n", + " _ = ax[2].set_title(\"Ensembles\")\n", + " _ = ax[2].grid() \n", + "\n", + " plt.savefig(save_filename, dpi=300)" + ], + "metadata": { + "id": "2J_hHHw8a-To" + }, + "execution_count": null, + "outputs": [] + }, + { + "source": [ + "### Experiments" + ], + "cell_type": "markdown", + "metadata": { + "id": "Envys4vk_LpD" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 1000 + }, + "id": "O4mtUiYe_LpE", + "outputId": 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"text": [ + "100%|██████████| 10/10 [00:11<00:00, 1.17s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=5...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:26<00:00, 2.67s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=10...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:51<00:00, 5.19s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=25...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [02:07<00:00, 12.77s/it]\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x360 with 3 Axes>" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x360 with 3 Axes>" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x360 with 3 Axes>" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x360 with 3 Axes>" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "k_D_values = k_P_values = [1, 2, 5, 10, 25]\n", + "n0 = 2 ** 10\n", + "m = 2 ** 11\n", + "\n", + "for iddgf, data_gen_fn in enumerate([gen_data1, gen_data2, gen_data3, gen_data4]):\n", + "\n", + " ensemble_results = run_ensembles(n0, m, k_P_values, data_gen_fn)\n", + " bagging_results = run_bagging(n0, m, k_D_values, data_gen_fn)\n", + " true_bagging_results = run_true_bagging(n0, m, k_D_values, data_gen_fn)\n", + " plot_ensembles_bagging(ensemble_results, bagging_results, true_bagging_results, k_D_values, k_P_values, save_filename=f\"experiment_{iddgf}.png\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "cP2QPiEu_LpE" + }, + "outputs": [], + "source": [] + } + ] +} \ No newline at end of file diff --git a/presentations/dd_fine_grained_bv_decomposition_ensembling_bagging.ipynb b/presentations/dd_fine_grained_bv_decomposition_ensembling_bagging.ipynb new file mode 100644 index 0000000..8dd8dc8 --- /dev/null +++ b/presentations/dd_fine_grained_bv_decomposition_ensembling_bagging.ipynb @@ -0,0 +1 @@ +{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"authorship_tag":"ABX9TyOdIU8o+sCxcGbsRFQcAnrg"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"},"accelerator":"GPU","gpuClass":"standard"},"cells":[{"cell_type":"code","execution_count":1,"metadata":{"id":"vbrFT1ENI8io","executionInfo":{"status":"ok","timestamp":1678368679123,"user_tz":-60,"elapsed":3015,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}}},"outputs":[],"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","import scipy.stats as sst\n","from tqdm import tqdm\n","import torch\n","import math"]},{"cell_type":"code","source":["def run_ensembles(gamma, n0, m, snr, k_P_values, x_sigma=1.0, beta_sigma=1.0, r_values=None, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1):\n"," if not r_values:\n"," r_values = np.logspace(-2, 1, 10)\n","\n"," sigma_eps = math.sqrt(1/snr)\n","\n"," torch.manual_seed(seed)\n","\n"," # Generate test data\n"," X_test = x_sigma * torch.randn(n0, m, dtype=precision).to(device)\n"," eps_test = sigma_eps * torch.randn(m, dtype=precision).to(device)\n"," betas = []\n"," if beta_layers == 1:\n"," beta = beta_sigma * torch.randn(n0, 1, dtype=precision).to(device)\n"," betas.append(beta)\n"," y_test = beta.T @ X_test / math.sqrt(n0) + eps_test\n"," else:\n"," _X = X_test\n"," for _ in range(beta_layers-1):\n"," beta = beta_sigma * torch.randn(n0, n0, dtype=precision).to(device)\n"," betas.append(beta)\n"," _X = activation(beta.T @ _X)\n"," beta = beta_sigma * torch.randn(n0, 1, dtype=precision).to(device)\n"," betas.append(beta)\n"," y_test = beta.T @ _X / math.sqrt(n0) + eps_test\n","\n"," # Data sampling\n"," X = x_sigma * torch.randn(n0, m, dtype=precision).to(device)\n"," eps = sigma_eps * torch.randn(m, dtype=precision).to(device)\n"," if beta_layers == 1:\n"," y = betas[0].T @ X / math.sqrt(n0) + eps\n"," else:\n"," _X = X\n"," for i in range(beta_layers-1):\n"," _X = activation(betas[i].T @ _X)\n"," y = betas[-1].T @ _X / math.sqrt(n0) + eps\n","\n"," ensemble_results = {}\n"," for k_P in k_P_values:\n"," print(f\"Evaluating for k_P={k_P}...\")\n"," mses = []\n"," aggregate_y_hat = torch.zeros((1, m), dtype=precision).to(device)\n"," for r in tqdm(r_values):\n"," for _ in range(k_P):\n"," # Model init - ensemble\n"," n1 = int(m * r)\n"," W = torch.randn(n1, n0, dtype=precision).to(device)\n","\n"," # Fit model and compute prediction y_hat\n"," F = activation(W @ X / math.sqrt(n0))\n"," F_test = activation(W @ X_test / math.sqrt(n0))\n"," K_X = F.T @ F / n1\n"," K = K_X + gamma * torch.eye(m, dtype=precision).to(device)\n"," K_X_test = F.T @ F_test / n1\n"," y_hat = y @ torch.linalg.solve(K, K_X_test)\n","\n"," # Aggregate \n"," aggregate_y_hat += y_hat\n"," aggregate_y_hat /= k_P\n"," mse = torch.mean((aggregate_y_hat - y_test) ** 2).cpu().numpy()\n"," mses.append(mse)\n","\n"," ensemble_results[k_P] = mses\n","\n"," return ensemble_results\n","\n","def run_bagging(gamma, n0, m, snr, k_D_values, x_sigma=1.0, beta_sigma=1.0, r_values=None, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1):\n"," if not r_values:\n"," r_values = np.logspace(-2, 1, 10)\n","\n"," sigma_eps = math.sqrt(1/snr)\n","\n"," torch.manual_seed(seed)\n","\n"," # Generate test data\n"," X_test = x_sigma * torch.randn(n0, m, dtype=precision).to(device)\n"," eps_test = sigma_eps * torch.randn(m, dtype=precision).to(device)\n"," betas = []\n"," if beta_layers == 1:\n"," beta = beta_sigma * torch.randn(n0, 1, dtype=precision).to(device)\n"," betas.append(beta)\n"," y_test = beta.T @ X_test / math.sqrt(n0) + eps_test\n"," else:\n"," _X = X_test\n"," for _ in range(beta_layers-1):\n"," beta = beta_sigma * torch.randn(n0, n0, dtype=precision).to(device)\n"," betas.append(beta)\n"," _X = activation(beta.T @ _X)\n"," beta = beta_sigma * torch.randn(n0, 1, dtype=precision).to(device)\n"," betas.append(beta)\n"," y_test = beta.T @ _X / math.sqrt(n0) + eps_test\n","\n"," bagging_results = {}\n"," for k_D in k_D_values:\n"," print(f\"Evaluating for k_D={k_D}...\")\n"," mses = []\n"," aggregate_y_hat = torch.zeros((1, m), dtype=precision).to(device)\n"," for r in tqdm(r_values):\n"," # Model init\n"," n1 = int(m * r)\n"," W = torch.randn(n1, n0, dtype=precision).to(device)\n","\n"," for _ in range(k_D):\n"," # Data sampling - bagging\n"," X = x_sigma * torch.randn(n0, m, dtype=precision).to(device)\n"," eps = sigma_eps * torch.randn(m, dtype=precision).to(device)\n"," if beta_layers == 1:\n"," y = betas[0].T @ X / math.sqrt(n0) + eps\n"," else:\n"," _X = X\n"," for i in range(beta_layers-1):\n"," _X = activation(betas[i].T @ _X)\n"," y = betas[-1].T @ _X / math.sqrt(n0) + eps\n","\n"," # Fit model and compute prediction y_hat\n"," F = activation(W @ X / math.sqrt(n0))\n"," F_test = activation(W @ X_test / math.sqrt(n0))\n"," K_X = F.T @ F / n1\n"," K = K_X + gamma * torch.eye(m, dtype=precision).to(device)\n"," K_X_test = F.T @ F_test / n1\n"," y_hat = y @ torch.linalg.solve(K, K_X_test)\n","\n"," # Aggregate \n"," aggregate_y_hat += y_hat\n"," aggregate_y_hat /= k_D\n"," mse = torch.mean((aggregate_y_hat - y_test) ** 2).cpu().numpy()\n"," mses.append(mse)\n","\n"," bagging_results[k_D] = mses\n","\n"," return bagging_results\n","\n","# The training X is fixed in the beginning and each bagging step takes samples from this instead of newly sampling\n","def run_true_bagging(gamma, n0, m, snr, k_D_values, x_sigma=1.0, beta_sigma=1.0, r_values=None, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1):\n"," if not r_values:\n"," r_values = np.logspace(-2, 1, 10)\n","\n"," sigma_eps = math.sqrt(1/snr)\n","\n"," torch.manual_seed(seed)\n","\n"," # Generate test data\n"," X = x_sigma * torch.randn(n0, m, dtype=precision).to(device)\n"," X_test = x_sigma * torch.randn(n0, m, dtype=precision).to(device)\n"," eps = sigma_eps * torch.randn(m, dtype=precision).to(device)\n"," eps_test = sigma_eps * torch.randn(m, dtype=precision).to(device)\n"," betas = []\n"," if beta_layers == 1:\n"," beta = beta_sigma * torch.randn(n0, 1, dtype=precision).to(device)\n"," betas.append(beta)\n"," y_test = beta.T @ X_test / math.sqrt(n0) + eps_test\n"," y = betas[0].T @ X / math.sqrt(n0) + eps\n"," else:\n"," _X_t = X_test\n"," _X = X\n"," for _ in range(beta_layers-1):\n"," beta = beta_sigma * torch.randn(n0, n0, dtype=precision).to(device)\n"," betas.append(beta)\n"," _X_t = activation(beta.T @ _X_t)\n"," _X = activation(beta.T @ _X)\n"," beta = beta_sigma * torch.randn(n0, 1, dtype=precision).to(device)\n"," betas.append(beta)\n"," y_test = beta.T @ _X_t / math.sqrt(n0) + eps_test\n"," y = beta.T @ _X / math.sqrt(n0) + eps\n","\n"," bagging_results = {}\n"," for k_D in k_D_values:\n"," print(f\"Evaluating for k_D={k_D}...\")\n"," mses = []\n"," aggregate_y_hat = torch.zeros((1, m), dtype=precision).to(device)\n"," for r in tqdm(r_values):\n"," # Model init\n"," n1 = int(m * r)\n"," W = torch.randn(n1, n0, dtype=precision).to(device)\n","\n"," for _ in range(k_D):\n"," # Data sampling - bagging\n"," sample_indices = torch.randint(low=0, high=m, size=(m,))\n"," X_sample = X[:, sample_indices]\n"," y_sample = y[:, sample_indices]\n","\n"," # Fit model and compute prediction y_hat\n"," F = activation(W @ X_sample / math.sqrt(n0))\n"," F_test = activation(W @ X_test / math.sqrt(n0))\n"," K_X = F.T @ F / n1\n"," K = K_X + gamma * torch.eye(m, dtype=precision).to(device)\n"," K_X_test = F.T @ F_test / n1\n"," y_hat = y_sample @ torch.linalg.solve(K, K_X_test)\n","\n"," # Aggregate \n"," aggregate_y_hat += y_hat\n"," aggregate_y_hat /= k_D\n"," mse = torch.mean((aggregate_y_hat - y_test) ** 2).cpu().numpy()\n"," mses.append(mse)\n","\n"," bagging_results[k_D] = mses\n","\n"," return bagging_results\n","\n","\n","def plot_ensembles_bagging(ensemble_results, bagging_results, r_values=None, save_filename=\"results.png\"):\n"," if not r_values:\n"," r_values = np.logspace(-2, 1, 10)\n","\n"," fig, ax = plt.subplots(1, 2, figsize=(10, 5), sharey=True)\n","\n"," for k_D, mses in bagging_results.items():\n"," ax[0].plot(r_values, mses, '--o')\n","\n"," _ = ax[0].legend([f\"$k_D={k}$\" for k in k_D_values])\n"," _ = ax[0].set_xlabel(\"$ n_1/m $\")\n"," _ = ax[0].set_ylabel(\"$E_{\\mathrm{test}}$\")\n"," _ = ax[0].set_xscale(\"log\")\n"," _ = ax[0].set_yscale(\"log\")\n"," _ = ax[0].set_title(\"Bagging\")\n"," _ = ax[0].set_yticks(np.logspace(-1, 2, 7), np.round(np.logspace(-1, 2, 7), 2))\n"," _ = ax[0].grid()\n","\n"," for k_P, mses in ensemble_results.items():\n"," ax[1].plot(r_values, mses, '--o')\n","\n"," _ = ax[1].legend([f\"$k_P={k}$\" for k in k_P_values])\n"," _ = ax[1].set_xlabel(\"$ n_1/m $\")\n"," _ = ax[1].set_ylabel(\"$E_{\\mathrm{test}}$\")\n"," _ = ax[1].set_xscale(\"log\")\n"," _ = ax[1].set_yscale(\"log\")\n"," _ = ax[1].set_title(\"Ensembles\")\n"," _ = ax[1].set_yticks(np.logspace(-1, 2, 7), np.round(np.logspace(-1, 2, 7), 2))\n"," _ = ax[1].grid()\n","\n"," plt.savefig(save_filename, dpi=300)"],"metadata":{"id":"8LUBo91tYAeh","executionInfo":{"status":"ok","timestamp":1678373009602,"user_tz":-60,"elapsed":353,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}}},"execution_count":6,"outputs":[]},{"cell_type":"markdown","source":["### Replication"],"metadata":{"id":"lwOHcrJbVe_b"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 11\n","m = 2 ** 12\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","r_values = np.logspace(-2, 1, 10)\n","device = \"cuda\"\n","k_P_values = [1, 2, ] #[1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=device, seed=123, precision=torch.float64)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"eJmCZ1JHL5-X","executionInfo":{"status":"ok","timestamp":1678374447111,"user_tz":-60,"elapsed":827763,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"2e549026-ece0-4696-974e-9bf1bc942c7e"},"execution_count":10,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [04:38<00:00, 27.86s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [09:07<00:00, 54.79s/it] \n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, ] #[1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=device, seed=123, precision=torch.float64)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"0om3Fm92vlTx","executionInfo":{"status":"ok","timestamp":1678375284714,"user_tz":-60,"elapsed":837609,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"75b020db-c7f9-496d-caef-c87f6de6c899"},"execution_count":11,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [04:40<00:00, 28.09s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [09:16<00:00, 55.62s/it] \n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_paper.png\")"],"metadata":{"id":"AVN9bmW2bFJ9"},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":["### Bagging (true!)"],"metadata":{"id":"eLzTplHfuhLV"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","r_values = np.logspace(-2, 1, 10)\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"KJtAJRzXugd5","executionInfo":{"status":"ok","timestamp":1678191373662,"user_tz":-60,"elapsed":304881,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"8fa4c036-de32-4b04-d0d1-7bd03ac4372f"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.37it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:14<00:00, 1.40s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:34<00:00, 3.49s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:10<00:00, 7.07s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:57<00:00, 17.75s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_true_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"dsko3sd7us86","executionInfo":{"status":"ok","timestamp":1678236363099,"user_tz":-60,"elapsed":243809,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"f1dd4f00-2d35-4537-c35d-b5bb4171560a"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:06<00:00, 1.46it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:12<00:00, 1.23s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:29<00:00, 2.91s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:56<00:00, 5.64s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:19<00:00, 13.92s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_true_bagging.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"odSkvIZjuvzs","executionInfo":{"status":"ok","timestamp":1678236364939,"user_tz":-60,"elapsed":1849,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"b646dade-5af7-43e7-fb83-cd27ba6c2be2"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Precision"],"metadata":{"id":"_A933M2SVh13"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float32)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"yqfGGZFP8l33","executionInfo":{"status":"ok","timestamp":1678182589367,"user_tz":-60,"elapsed":37618,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"ceab7243-0cd1-4a04-bb67-eec51a8d5660"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:01<00:00, 8.86it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:01<00:00, 5.28it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:03<00:00, 2.51it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:08<00:00, 1.15it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:21<00:00, 2.15s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float32)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"u--eQ2edVx66","executionInfo":{"status":"ok","timestamp":1678183117856,"user_tz":-60,"elapsed":29087,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"9cf39e24-b2d5-4066-802f-ba183e559120"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:01<00:00, 7.33it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:01<00:00, 5.51it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:03<00:00, 2.85it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:06<00:00, 1.52it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:16<00:00, 1.65s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_fp32.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"cf8zFAwyV0_P","executionInfo":{"status":"ok","timestamp":1678183302798,"user_tz":-60,"elapsed":2067,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"f2b48147-ef16-4bcc-f02d-8096cdc12131"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Activation"],"metadata":{"id":"S5FreQKRmgX-"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.nn.functional.gelu)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"FLXBd380mjQ8","executionInfo":{"status":"ok","timestamp":1678183873052,"user_tz":-60,"elapsed":301424,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"ee34765c-3f50-43a3-e400-9e537f02a12b"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:06<00:00, 1.43it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.39s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:37<00:00, 3.73s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:10<00:00, 7.00s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:52<00:00, 17.27s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.nn.functional.gelu)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"UCsHN90cm7ih","executionInfo":{"status":"ok","timestamp":1678184150098,"user_tz":-60,"elapsed":277066,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"b31cacfc-72ce-41d4-9a9b-9fd83a0ca0ec"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.33it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:14<00:00, 1.40s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:32<00:00, 3.30s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:03<00:00, 6.38s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:38<00:00, 15.86s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_activation_gelu.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"9zErFlW3nBUs","executionInfo":{"status":"ok","timestamp":1678184155579,"user_tz":-60,"elapsed":2061,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"1eebb4d4-8b68-4391-950f-8a5060c9702c"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### 2-Layer data generating process"],"metadata":{"id":"shrtulHElA1b"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.nn.functional.tanh, beta_layers=2)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"ZcM0PUsClESR","executionInfo":{"status":"ok","timestamp":1678190587515,"user_tz":-60,"elapsed":6609,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"63976a7d-843e-46fb-e31c-19c0c7f129f7"},"execution_count":null,"outputs":[{"metadata":{"tags":null},"name":"stderr","output_type":"stream","text":["/usr/local/lib/python3.8/dist-packages/torch/nn/functional.py:1956: UserWarning: nn.functional.tanh is deprecated. Use torch.tanh instead.\n"," warnings.warn(\"nn.functional.tanh is deprecated. Use torch.tanh instead.\")\n"]},{"metadata":{"tags":null},"name":"stdout","output_type":"stream","text":["Evaluating for k_P=1...\n"]},{"metadata":{"tags":null},"name":"stderr","output_type":"stream","text":["100%|██████████| 10/10 [00:08<00:00, 1.22it/s]\n"]},{"metadata":{"tags":null},"name":"stdout","output_type":"stream","text":["Evaluating for k_P=2...\n"]},{"metadata":{"tags":null},"name":"stderr","output_type":"stream","text":["100%|██████████| 10/10 [00:13<00:00, 1.40s/it]\n"]},{"metadata":{"tags":null},"name":"stdout","output_type":"stream","text":["Evaluating for k_P=5...\n"]},{"metadata":{"tags":null},"name":"stderr","output_type":"stream","text":["100%|██████████| 10/10 [00:34<00:00, 3.40s/it]\n"]},{"metadata":{"tags":null},"name":"stdout","output_type":"stream","text":["Evaluating for k_P=10...\n"]},{"metadata":{"tags":null},"name":"stderr","output_type":"stream","text":["100%|██████████| 10/10 [01:10<00:00, 7.01s/it]\n"]},{"metadata":{"tags":null},"name":"stdout","output_type":"stream","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:53<00:00, 17.31s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.nn.functional.tanh, beta_layers=2)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"HXHmkkAyqVYp","executionInfo":{"status":"ok","timestamp":1678190870061,"user_tz":-60,"elapsed":282550,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"fdf5b826-81f3-44a3-edfc-d9f4f80ee657"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.25it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:14<00:00, 1.41s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:33<00:00, 3.33s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:05<00:00, 6.56s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:41<00:00, 16.12s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_2layer_data generation.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"KpZmEgl4qZga","executionInfo":{"status":"ok","timestamp":1678190872609,"user_tz":-60,"elapsed":2550,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"cef11719-dbcc-455b-ff85-2e6932663822"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Higher SNR (2x)"],"metadata":{"id":"fWN74LtQ_Kip"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 10\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"wWGh59VHABlE","executionInfo":{"status":"ok","timestamp":1678198158898,"user_tz":-60,"elapsed":298886,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"87601fc8-cf9f-4560-f854-15a35b3c30be"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.42it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:14<00:00, 1.42s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:34<00:00, 3.43s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:08<00:00, 6.90s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:52<00:00, 17.28s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_true_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"ph-cnW9JABer","executionInfo":{"status":"ok","timestamp":1678198402588,"user_tz":-60,"elapsed":243708,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"643068dd-efb4-45fc-ca11-712ab0c9030f"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:06<00:00, 1.48it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:12<00:00, 1.25s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:28<00:00, 2.89s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:56<00:00, 5.69s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:19<00:00, 13.95s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_true_bagging_higher_snr_2x.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"KY1FwpXOABTS","executionInfo":{"status":"ok","timestamp":1678198404839,"user_tz":-60,"elapsed":2267,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"93039a4b-4b53-4ed7-d1b5-6acff56a0a79"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Lower SNR (0.5x)"],"metadata":{"id":"Az9-1CnD_Rb1"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 2.5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"OtPto0aUACju","executionInfo":{"status":"ok","timestamp":1678198706402,"user_tz":-60,"elapsed":301568,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"7999d50e-5247-41ca-b21b-5ff264933abb"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:06<00:00, 1.44it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.38s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:34<00:00, 3.50s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:10<00:00, 7.03s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:55<00:00, 17.52s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_true_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"psls34P9ACfg","executionInfo":{"status":"ok","timestamp":1678198953080,"user_tz":-60,"elapsed":246693,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"e81af332-5ee7-423a-8697-c07b60b67f6f"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:06<00:00, 1.45it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:12<00:00, 1.26s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:29<00:00, 2.94s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:56<00:00, 5.70s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:20<00:00, 14.02s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_true_bagging_lower_snr_0p5x.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Eu6AVT1NACUt","executionInfo":{"status":"ok","timestamp":1678198954774,"user_tz":-60,"elapsed":1710,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"d45cff3a-2d12-452d-a3db-f311793a21ab"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Higher Gamma (=1e-5)"],"metadata":{"id":"Mxy99ny3_W-B"}},{"cell_type":"code","source":["gamma = 1e-5\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"drhnfQb7ADRv","executionInfo":{"status":"ok","timestamp":1678196045170,"user_tz":-60,"elapsed":299401,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"2d0dc9f6-7c4b-413c-c036-70805511cd73"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:06<00:00, 1.43it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.37s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:34<00:00, 3.49s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:09<00:00, 6.99s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:53<00:00, 17.36s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Okp1MArgADNd","executionInfo":{"status":"ok","timestamp":1678196319634,"user_tz":-60,"elapsed":274483,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"4d7bdd9f-b079-4519-cb99-16a817114e51"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.29it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:14<00:00, 1.40s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:32<00:00, 3.25s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:03<00:00, 6.35s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:36<00:00, 15.66s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_higher_gamma_1em5.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"x6lE3H1FADJV","executionInfo":{"status":"ok","timestamp":1678196322057,"user_tz":-60,"elapsed":2439,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"bcb2c02b-e0b0-4732-ffdd-469cd922194d"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAnEAAAFUCAYAAABLBGogAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/NK7nSAAAACXBIWXMAAAsTAAALEwEAmpwYAACWx0lEQVR4nOzdd3hVRfrA8e/ckt5DGgkJNfTeIx0pUqQK0gTF9tNdXV1dy64udlmxYFnb2sCudEGKFAsgndBCDSUJKUB6SLllfn+cJKTcG9ILmc/z5Ely6tyjeXnPOTPvCCkliqIoiqIoSsOiq+sGKIqiKIqiKBWnkjhFURRFUZQGSCVxiqIoiqIoDZBK4hRFURRFURoglcQpiqIoiqI0QCqJUxRFURRFaYBUEqcogBDiqBBiSF23Q1EUpTKEEEOEELFlrP9cCPFibbZJqXkqiVPqFSHEOSFEthAiUwiRIoRYK4RoVtPnlVJ2lFJuq+nzKIrScJWITwVf79Z1u5TGSyVxSn00XkrpBgQBicA7ddweRVGUAuOllG5Fvv5S1w1SGi+VxCn1lpQyB/gR6AAghBgrhDgghEgXQsQIIRYU3V4IcYcQ4rwQ4ooQ4pn8u+ab89c5CyG+yH+6FyWE+EfRVw8ltl0ghPheCLFECJGR/6q1V5Fte+S3I0MI8YMQ4jv1mkJRGi8hxDwhxB9CiEX5MeasEOKWEuuj82PGWSHErCLr7sqPSSlCiA1CiLAi66QQ4gEhxKn8fV8QQrQSQuzIj4PfCyEcSrTlaSHE5fyYNgs7hBDjhBAHhRCp+cfrUmTdE0KIuPxznhBCDK++q6VUJ5XEKfWWEMIFmA78mb8oC7gD8ALGAv8nhJiYv20H4L/ALLQneJ5AcJHD/RtoDrQERgCzr3P6W4Fv88+1Gng3/zwOwArgc8AH+AaYVLlPqCjKDaQvcAJoAvwH+ERoXIG3gVuklO5ABHAQQAgxAXgamAz4Ab+jxZSiRgE9gX7AP4CP0OJXM6ATMKPItoH55w8G5gIfCSHalmyoEKI78ClwH+ALfAisFkI45m//F6B3fntHAecqe1GUmqWSOKU+WimESAXS0BKu1wCklNuklIellFYp5SG0YDc4f5+pwBop5R9SyjzgWaDoxMDTgJellClSyli0oFqWP6SU66SUFmAp0DV/eT/AALwtpTRJKZcDu6v6gRVFaTBW5j+9Kvi6J3/5eSnlx/kx4wu0m8mA/HVWoJMQwllKGS+lPJq//H7gFSlllJTSDLwMdCv6NA74j5QyPX+fI8BGKWW0lDIN+BnoXqJ9z0gpc6WUvwJr0WJfSfcCH0opd0kpLVLKL4BctPhmARyBDkIIo5TynJTyTKWvllKjVBKn1EcTpZRegBPaHeGvQohAIURfIcRWIcQlIUQaWgBskr9PUyCm4ABSyqvAlSLHLLa+xM+2JBT5+SrgJIQw5B8nTkpZNEG83rEURblxTJRSehX5+jh/eWHMyI8/AG5Syiy0Nwr3A/H5g7Xa5a8PAxYXJIRAMiAo/hYhscjP2TZ+dyvye0r++QqcR4tZJYUBfy+ajKI92WsqpTwN/A1YACQJIb4VQtg6hlIPqCROqbfy7xCXo90ZDgC+Rnu12UxK6Ql8gBbwAOKBkIJ9hRDOaK8JsLUeLWBVRjwQLIQQRZbV+OhZRVEaLinlBinlCLSnc8eBgsQvBrivRFLoLKXcUclTeee/vi0QCly0sV0M8FKJ87pIKb/Jb+/XUsoBaMmeBBZWsj1KDVNJnFJv5fcnmQB4A1GAO5AspcwRQvQBZhbZ/EdgvBAiIr/f2gKuJXgA3wNPCSG8hRDBaE/4KmMnWlL5FyGEIb99fSp5LEVRbnBCiAAhxIT85CoXyER7vQrajehTQoiO+dt6CiFuq+IpnxNCOAghBgLjgB9sbPMxcH/+2w0hhHAV2sAxdyFEWyHEMCGEI5CD9rTPauMYSj2gkjilPlojhMgE0oGXgLn5/UEeAJ4XQmSg9Xn7vmCH/PV/RRuMEI8WKJPQgibA80AscBb4BS3pK1hXbvn97SYD84FUtA7GP1XmWIqiNEhrRPE6cSuus70OeBTtiVgyWj/e/wOQUq5Ae8r1rRAiHa3P2y12jlMeCUBK/rm+Au6XUh4vuZGUci9wD9qArRTgNDAvf7Uj8CpwOf94/sBTVWiTUoNE8a49inJjEEK4oSVZbaSUZ22s/z/gdinl4JLrKnGuXcAHUsrPqnosRVEURSkv9SROuWEIIcYLIVzyX1ssAg6TPzReCBEkhLhJCKHLH0L/d7RSIZU5z+D8gRYGIcRcoAuwvno+haIoiqKUT60lcUKIT4UQSUKII0WW+QghNuUXMtwkhPDOXy6EEG8LIU4LIQ4JIXrYOWZPIcTh/O3eLtHZXGl8JqC9RrgItEF70lbwqNkBrRZSBrAFWIVWV64y2gKRaE/6/g5MlVLGV77ZiqIoilJxtfY6VQgxCK2f0hIpZaf8Zf9B66j+qhDiScBbSvmEEGIMWv+mMWgFFBdLKfvaOOZu4CFgF7AOrXbXz7XygRRFURRFUepQrT2Jk1L+htaps6gJaEURyf8+scjyJVLzJ+AlhAgqumP+7x5Syj/zn7YsKbK/oiiKoijKDc1Qx+cPKPIaKoFr1a2DKV5ANTZ/WdFXVsH5y0tuY5MQ4l60KtU4Ozv3bNasfKW9rFYrOp3qOlgR6ppVnLpmFVeRa3by5MnLUkq/Gm5Sjals/AL1/1ZFqetVceqaVVxFr5m9GFbXSVwhKaUUQtTYu10p5Udoc87Rq1cvuXfv3nLtt23bNoYMGVJTzbohqWtWceqaVVxFrpkQ4nzNtqZmVTZ+gfp/q6LU9ao4dc0qrqLXzF4Mq+vUObHgNWn+96T85XEUr4Ifkr+sqDiKV+C3tY2iKIqiKMoNqa6TuNXA3Pyf56KNGCxYfkf+KNV+QFrJ0X/5v6cLIfrlj0q9o8j+iqIoiqIoN7TaLDHyDdqURW2FELFCiPloVaFHCCFOATfn/w7aSNNotCrSH6NV6i84zsEih30A+F/+dmcANTJVURRFUZRGodb6xEkpZ9hZNdzGthJ40M5xuhX5eS/QqbxtEEKMB8a3bt261DqTyURsbCw5OTnFlnt6ehIVFVXeU9ywnJycCAkJwWg01nVTFKVRqkz8AhXDQMUv5cZVbwY21AYp5RpgTa9eve4puS42NhZ3d3eaN29O0ZrBGRkZuLu712Yz6x0pJVeuXCE2NpYWLVrUdXMUpVGqTPwCFcNU/FJuZHXdJ67eyMnJwdfXt1QAVEAIga+vr827fEVR6p6KX/ap+KXcyFQSV4QKgPapa6Mo9Zv6G7VPXRvlRtWokrj8CdI/SktLq+umKIqiVIiKX4qilNSokjgp5Rop5b2enp513RRFUZQKUfFLUZSSGlUSpyiKoiiKcqNQSVw9s3nzZubMmVMjx77rrrvw9/enU6dyV2VRFEUpt5qKXyp2KYptKomrpJUH4rjp1S20eHItN726hZUHqmfGr8jISLp3714txypp3rx5rF+/vkaOrShKw9HQ4peKXYpiW6NK4qqrY/DKA3E8tfwwcanZSCAuNZunlh+ulkBYEARzc3OZN28eTz/9NFrt46obNGgQPj4+1XIsRVFqV2OOXyp2KYptqtivHdM/3AmAxWJBr9cDMK5LEHP6N+c/64+TbbIU2z7bZGHBmqNM7B5MclYe//flvmLrv7uvf7naeOjQIfz9/Rk1ahR33303s2fPvu4+AwcOJCMjo9TyRYsWcfPNN5frvIqi1G+ViV9wLYbVx/ilYpeiVE2jSuKqS3ya7aKRqVdNVTquyWQiOjqaGTNm8OGHH9K/vxY4e/fuTd++fUlPT2fIkCHcddddxfb7/fffq3ReRVEaj7qIX7169eLEiROsXLkSDw+Pwn1U7FKUqlFJnB0Fd562pqxp6uVMXGp2qX2CvZwB8HF1KPeda1FRUVH07t2b5OTkwqd/MTEx9O3bl3fffReAoUOHMnfu3ML1oO5mFUUprmj8KRnDajt+DRo0iNdff5358+eTkpJSLIlTsUtRqkYlcZXw+Ki2PLX8cLFXEs5GPY+Palul40ZGRhIREcHs2bOZNGkSW7ZsYd++ffTs2bNwG1dXV3S64l0Z1d2soijlVdvx6/jx4zzyyCNEREQQFhZWbB8VuxSlahrVwIbqMrF7MK9M7kywlzMC7Q72lcmdmdg9uErHjYyMpFOnToSHh7Nw4UKmTZvGrl27CpO4yMhIQkNDKz2FzIwZM+jfvz8nTpwgJCSETz75pErtVRSl4ant+PXGG2/w5ptvMn/+/EofW8UuRbGtUT2JE0KMB8a3bt26ysea2D24ykGvpEWLFhX+PG7cOMaNG8eYMWNIS0vD0dERvV7PwoULK338b775pjqaqShKHWiI8WvKlClUR3tV7FIU2xpVEleR0V31xbp16+q6CYqi1AMNMX4tW7asrpugKDc09TpVURRFURSlAVJJnKIoiqIoSgOkkjhFURRFUZQGSCVxiqIoiqIoDZBK4hRFURRFURoglcQpiqIoiqI0QI0qiRNCjBdCfJSWllbXTVEURakQFb8URSmpUSVxUso1Usp7PT0967opiqIoFaLil6IoJTWqJE5RFEVRFOVGoZK4embz5s3MmTOn2o8bExPD0KFD6dChAx07dmTx4sXVfg5FURq3mohfKnYpin2NatqtanXoe9j8PKTFgmcIDH8Wukyr8mEjIyPp3r17NTSwOIPBwOuvv06PHj3IyMigZ8+ejBgxgg4dOlT7uRRFqecaUPxSsUtR7FNP4irj0Pew5iFIiwGk9n3NQ9ryKioIgrm5ucybN4+nn34aKWWVjxsUFESPHj0AcHd3p3379sTFxVX5uIqiNDANLH6p2KUo9qkncfZ8NhYAZ4sZ9PmXqeNE6HMP/PIcmLKLb2/Khp+f0O5ms67A93cUX3/n2nKd9tChQ/j7+zNq1CjuvvtuZs+efd19Bg4cSEZGRqnlixYt4uabby61/Ny5cxw4cIC+ffuWq02KojQw+fELisSwehi/VOxSlKpRSVxlpNu5C8xOrtJhTSYT0dHRzJgxgw8//JD+/fsD0Lt3b/r27Ut6ejpDhgzhrrvuKrbf77//Xu5zZGZmMmXKFN566y08PDyq1F5FURqgOohfvXr14sSJE6xcubJY3FGxS1GqplElcUKI8cD41q1bX3/j/DvP7IwM3N3di6/zDMl/FVGCZzPtu6tvue9ci4qKiqJ3794kJyej1+sBrVNv3759effddwEYOnQoc+fOLVwP5b+bNZlMTJkyhVmzZjF58uQKt09RlLpTmfgFNmJYLcevQYMG8frrrzN//nxSUlKKJWAqdilK1TSqJE5KuQZY06tXr3uqdKDhz2p9SIq+kjA6a8urIDIykoiICGbPns2kSZPYsmUL+/bto2fPnoXbuLq6otMV78pYnrtZKSXz58+nffv2PProo1Vqp6Iota+hxq/jx4/zyCOPEBERQVhYWLF9VOxSlKpRAxsqo8s0GP92/p2r0L6Pf7vKo7siIyPp1KkT4eHhLFy4kGnTprFr167CJC4yMpLQ0FCEEBU+9vbt21m6dClbtmyhW7dudOvWjXXr1lWpvYqiNEC1HL/eeOMN3nzzTebPn1+p46rYpSj2NaoncdWqy7RqGZJf1KJFiwp/HjduHOPGjWPMmDGkpaXh6OiIXq9n4cKFlTr2gAEDqmWUq6IoN4Bail9TpkyhXK9/y6Bil6LYp5K4ek7dcSqK0lAtW7asrpugKDc09TpVURRFURSlAaq1JE4I4SSE2C2EiBRCHBVCPJe//C9CiNNCCCmEaFLG/qFCiI1CiCghxDEhRPP85V8JIU4IIY4IIT4VQhhr6SMpiqIoiqKU28oDcdz06hbmrc/iple3sPJA1QpX1+aTuFxgmJSyK9ANGC2E6AdsB24Gzl9n/yXAa1LK9kAfICl/+VdAO6Az4AzcXf1NVxRFURRFqbyVB+J4avlh4lK1keFxqdk8tfxwlRK5WkvipCYz/1dj/peUUh6QUp4ra18hRAfAIKXclH+sTCnl1fyf1+UfWwK7gZAa+xCKoiiKoiiV8NqGE2SbLMWWZZssvLbhRKWPWat94oQQeiHEQbSnaJuklLvKuWs4kCqEWC6EOCCEeE0IoS+6Qf5r1DnA+mpttKIoiqIoSiUlpOXww94YLqZm21xvb3l51OroVCmlBegmhPACVgghOkkpj5RjVwMwEOgOXAC+A+YBnxTZ5r/Ab1JKm9UjhRD3AvcCBAQEsG3btmLrPT09bVYOt1gsNpc3Rjk5OaWumy2ZmZnl2k65Rl2zimtM16yy8QtUDCug4lfNUdfMtrNpFjaeM7E7wYIEvBwFKbmly+X4OIlKX786KTEipUwVQmwFRgPlSeJigYNSymgAIcRKoB/5SZwQ4t+AH3BfGef8CPgIoFevXnLIkCHF1kdFRZWeXgvIsDXtViPl5ORE9+7dr7vdtm3bKHl9lbKpa1ZxjemaVTZ+gYphBVT8qjnqmhV3OimDp5YfZs+5FNwcDcyNaMG8iObsv5DCU8sPF3ul6mzU88yEzgzpHlypc9VaEieE8ANM+QmcMzACKG/l2j2AlxDCT0p5CRgG7M0/7t3AKGC4lNJ6nTaUf+5BRVHqpZUH4nhtwwniUrMJ/nMLj49qy8RKBsCGRMUvRam/0nNMXMrIpZWfGz6ujqReNfHMuA5M6xWCu5NWNCPU1wXgWvzycq5y/KrNPnFBwFYhxCG0pGyTlPInIcRDQohYtAEJh4QQ/wMQQvQq+Dn/NexjwGYhxGFAAB/nH/cDIADYKYQ4KISwOwGglHKNlPJeT0/PmvqMiqLUoJoY3dVQqPilKPXP+StZLFh9lP4vb+bv30cC4OPqwMZHBjF/QIvCBK7AxO7BbH9yGJ+PdmX7k8OqfANaa0/ipJSH0Pq0lVz+NvC2jeV7KVIuJH9kahcb291Qs05s3ryZzz//nKVLl1b7sZs3b467uzt6vR6DwcDevXur/RyKUpNe+TnK7uiuxvA0rr6rqfilYpdS3xyMSeW/W0+zKSoRg04wrktT7rqpReH6ysxxXhk3VAJUm9ZGr2Xx/sUkZCUQ6BrIwz0eZmzLsVU+bmRkZLn6bVTW1q1badLEbk1lRal3LFbJbycvsfTP8ySm59rcpiqjuxqjhhi/VOxS6lquWbuBdDToORyXxp5zyTw4pDVz+ocR4OFUJ21SSVwlrI1ey4IdC8ix5AAQnxXPgh0LAKocCCMjI5k3bx65ubncd999NG3alJdeeqnWsnpFqU+iL2Vyx6e7iU3Jxs/dEXdHAxm55lLbNfVyroPWNUwqfilKxVzJzOWrXRdY+ud5HhrWmjn9m3NbzxBu6xmCk1F//QPUIJXE2XHn+jsBbXi+Xq/9RxrVfBS3t7udt/a9VRgAC+RYcnhl9yuMbTmWlJwUHt32aLH1n43+rFznPXToEP7+/owaNYq7776b2bNnX3efgQMH2iwhsGjRIm6++ebC34UQjBw5EiEE9913H/fee2+52qQotUVKyd7zKSRn5TGqYyDNfFzoHOzJU7e0Z2THANYeirc5uuvxUW3rsNX1T0H8gmsxrD7GLxW7lPqiYMDUxdRsmuYPOGgf5MGnf5xlxcE48sxWBof70TbQA6DOk7cCKomrhMSriTaXp+WmVem4JpOJ6OhoZsyYwYcffkj//v0B6N27N3379iU9PZ0hQ4Zw1113Fdvv999tlsYr5Y8//iA4OJikpCRGjBhBu3btGDRoUJXarCjVITPXzIoDcXz153mOJ2TQNsCdkR0CMOp1vD+7Z+F2Bf3eqnN0V2NTF/GrV69enDhxgpUrV+Lh4VG4j4pdSn1QMGCq4OawYMCUv7sDiRm5TO0Zwp0RzWkTUP9K9agkzo6CO09bNZYCXQOJz4ovtU+QaxAA3k7e5b5zLSoqKorevXuTnJxc+PQvJiaGvn378u677wIwdOhQ5s6dW7geyn83Gxys/UPn7+/PpEmT2L17twqESp37etcFXlp7jKw8Cx2bevDq5M7c2q2p3VdwE7sHM7F7sKpNVYai8adkDKvt+DVo0CBef/115s+fT0pKSrEkTsUupT6wNx1WtsnKzieH4+3qUEctuz6VxFXCwz0eLtanBMBJ78TDPR6u0nEjIyOJiIhg9uzZTJo0iS1btrBv3z569rz2JMLV1RWdrnhlmPLczWZlZWG1WnF3dycrK4uNGzfy7LN2q7EoSo3JNVv4+XACPcO8aebjQqiPC6M7BTG7Xyjdmnmp/lM1rLbj1/Hjx3nkkUeIiIggLCys2D4qdil17WJqdmHJopIuZeTW6wQOVBJXKQWdf6t7dFdkZCR9+vQhPDychQsXMm3aNCIiIpgxY0bh+tDQ0Er9I5eYmMikSZMAMJvNzJw5k9GjR1epvYpSETHJV/lq1wW+3xtDclYej40M5y/D2jCgTRMGtFGjDmtLbcevN954g7ZtK99nUcUupaZczsxl8Gtb7a5vCAOmVBJXSWNbjq2WIflFLVq0qPDncePGMW7cOMaMGUNaWhqOjo7o9XoWLizvJBfFtWzZksjIyOpqqqKUYqtj8MTuwUgpuf/LfWw8logARnQIYHa/MG5qpRK3ulJb8WvKlClUdYYJFbuU6mKyWFl3OJ6TiRk8PqodTdwceXFiJ7Jyzby24WSDHDClkrh6bt26dXXdBEW5Llsdgx//UfuHd2L3YEK8XfjrsDbM6NOMIM/6f3erVI9ly5bVdRMUheSsPL7ZfYElO8+RmJ5La383/jqsDU5GPdN7hwLg4+po8ya0vlNJnKIoVWarY7DJInnl5ygmdg/mmXEd6qhliqI0ZpuOJfKXr/eTa7YysE0TXp3chcHhfuh0xbslFQyYamhUEqcoSpXZmzEhyc4MC4qiKDXBapX8evISbk4Gejf3oWszTyb3CGFeRHPaBta/EiFVpZI4RVEqzGKV/HbqEgIY0tafQE8n4tNySm3XEDoGK4rS8GXlmlm+P5bPtp8j+nIWozsG0ru5D/7uTrwyuXNdN6/GqCROUZRyi025yg97Y/lhbwwX03K4qbUvQ9r688TodmomBUVR6sT/fo/m7c2nSM8x0zXEk8W3d2NM56C6blataFRJnBBiPDC+qqOlFKUxemVdFB/9Hg3AwDZ+/GtcB25uHwAUn0mhoXUMbihU/FIaq5Ij3x8bGU4zHxc6BXviZNTjaNAxMNyPu25qQY/QxlVrslElcVLKNcCaXr163VPXbVGU+u50Uibf743h/sGt8HF1oHuoF38d1oZpvUII8XYptX1D7RjcUKj4pTRGtka+P/pDJFLCwimdmd47lDn9mzOnf/O6bWgdaVRJnKIoZcvOs7DucDzf7Ylh97lkDDpBrzBvRnYMZHSnIEZ3ahyvKBRFqR9sjXyXEjydjYzv2rSOWlV/qCROURQA0rJNDFy4hfQcMy2auPLkLe2Y3CMYf3enum6aoiiNjMUqOZGQYXfke3q2CRcHlcLorr+JUps2b97MnDlzauTYd911F/7+/nTq1KnUuvXr19O2bVtat27Nq6++WiPnV+rGygNx3PTqFlo8uZabXt3CygNxAKTnmPjyz/O88nMUoN3Z3je4Fd/e248tfx/M/YNbqQROqZCail/2YpeKWzeeuNRs3tx0kgELtzD5/e0EetqOQWrku0YlcZWUtmYNp4YNJ6p9B04NG07amjXVctzIyEi6d+9eLccqad68eaxfv77UcovFwoMPPsjPP//MsWPH+Oabbzh27FiNtEGpXQX9SeJSs5FoAfIfyw4x7YMd9H1pM/9aeYTtpy9jslgBeHBoa/q19G1UHYMbo4YWv2zFLhW3bixR8enc+dluBizcwttbThEe4M5b07vx2MhwnI36Ytuqke/XqGeRlZC2Zg3xzzyLzNHqYpkvXiT+mWcB8Bw/vkrHjoyMZN68eeTm5nLffffRtGlTXnrppWr5R3XQoEGcO3eu1PLdu3fTunVrWrZsCcDtt9/OqlWr6NBBVdlv6Gz1J8kzW9lzLoXb+4Rye+9mdAnxVElbI9IQ45et2KXiVsMXk3wVk8VKSz83jHpBVHwGfx3ammm9mxUbPKXX6dTIdztUEmfH+Tl3AGC2WEjWa3cB7reMxmfmTJLeeLMwABaQOTkkvPQynuPHY05JIe6hh4utD1u6pFznPXToEP7+/owaNYq7776b2bNnX3efgQMHkpGRUWr5okWLuPnmm6+7f1xcHM2aNSv8PSQkhF27dpWrvUr9lWOyEGenPwlwQxfAbOwK4hdci2H1MX5VJXapuNUw5ZmtbDqWyLd7LvD7qcuM6xLEuzN70Nrfne1PDkOvK53wq5Hv9qkkrhLMCQk2l1tTU6t0XJPJRHR0NDNmzODDDz+kf//+APTu3Zu+ffuSnp7OkCFDuOuuu4rt9/vvv1fpvMqNQ0rJnnMpLN8fy9pD8Xa3U/1JGq+6iF+9evXixIkTrFy5Eg8Pj8J9VOxqXD749Qwf/xbNlaw8gr2ceeTmcKb1DilcbyuBU8qmkjg7Cu48MzIycHcvPt+aISgI88WLpfYxNNWGOxu8vct951pUVFQUvXv3Jjk5GX3+07+YmBj69u3Lu+++C8DQoUOZO3du4Xqo+pO44OBgYmJiCn+PjY0lOFjd9TQkaVdNeLoYAXhy2SES0nO4pVMQAR6OfLb9LNkma+G2qj/Jja9o/CkZw2o7fg0aNIjXX3+d+fPnk5KSUiyJq0rsUnGr/ssxWdgclcToToHodYKreRZ6Nffm9j6hDGrjp5K2aqCSuErwf+RvxfqUAAgnJ/wf+VuVjhsZGUlERASzZ89m0qRJbNmyhX379tGzZ8/CbVxdXdHpio9HqerdbO/evTl16hRnz54lODiYb7/9lq+//rpKx1RqXtpVEz8dvsjy/XGcSsxg9z9vxsmo5/3ZPWnm41w4/D48wF31J1EK1Xb8On78OI888ggRERGEhYUV26cqsUvFrbpXMJNCXGo2wX9uKYwtp5My+GZ3DMv2x5J61cQXd/VhcLgfj9zcRvW/rWYqiauEgs6/SW++hTk+HkNQEP6P/K1aOgX36dOH8PBwFi5cyLRp04iIiGDGjBmF60NDQyv9RzBjxgy2bdvG5cuXCQkJ4bnnnmP+/PkYDAbeffddRo0ahcVi4a677qJjx45V+ixKzTl2MZ13t57il2NJ5FmstPF344GhrbFYJQBtA4s/OVb9SZSiajt+vfHGG7RtW7Unv/Zil4pbdcfWTApPLjvE4s0nOXv5Kka9YGSHQGb0CSWilS+ASuBqgEriKslz/PgqB72SFi1aVPjzuHHjGDduHGPGjCEtLQ1HR0f0ej0LFy6s9PG/+eYbu+vGjBnDmDFjKn1speZIKTkSl46bk4EWTVzJNVvYFZ3MrH6hTOkRQsemHio4KhVSW/FrypQpVMdcr/Zil4pbdcfWyPccs5WLqTk8dUs7pvQMoYmbYx21rvFQSVw9t27durpuglJH4tOyWXngIsv3x3IqKZOZfUN5eVJnujXz4s+nh2PUqzKPSv22bNmyum6CUkPszaSQZ7Zy3+BWtdyaxkslcYpSh+z1KXnw6/2sOxyPlNArzJuXJ3VmbGdt3lIhBEa9evKmKErdaerlbLOEkRr5XrtUEqcodcRWn5Knlh8CoF2AO6393JjcI5gwX9e6bKaiKEopj49qy+M/RmKyyMJlauR77VNJnKLUEVt9SrJNVl7bcILtTw6ro1YpiqJc38Tuwbz/6xlOJ2ZikZJgNfK9TqgkTlHqiL0+JfaWK4qi1BdZuWYupmZz/5CW9HZMYMiQIXXdpEZJJXGKUkdUnxJFURoqV0cDu54ejsksObDb9iwgSs1Tw9sUpY48PqptqYrlqk+JoigNhYuDoXCmGKVuqCROUerIxO7BvH5bV5p6OQEQ7OXMK5M7qz4liqLUa8cT0hn15m8ciUur66Y0eup1qqLUEbPFWjibwrZt21SfEkVRGoQV++M4cymTIE+num5Ko6eexClKHZn9ya7CkiKKoigNgcUqWXkwjiFt/fBVMzLUOZXE1TObN29mzpw51X7cmJgYhg4dSocOHejYsSOLFy8utr558+Z07tyZbt260atXr2o/v1LcpYxcdp1Nxt9d3ckqN46aiF9lxS4Vt2rfjjOXSUzPZVL3kLpuikI9eZ0qhPgUGAckSSk75S/zAb4DmgPngGlSyhQb+84F/pX/64tSyi9qo80ndyWwc9UZMpNzcfNxpP+EVoT3DazycSMjI+nevXs1tLA4g8HA66+/To8ePcjIyKBnz56MGDGCDh06FG6zdetWmjRpUu3nVkrbdCwRKeGWzlX/f0ZRKqohxa/rxS4Vt2rXiv1xuDsZGN7ev66bolB/nsR9DowusexJYLOUsg2wOf/3YvITvX8DfYE+wL+FEN4121QtAG796jiZybkAZCbnsvWr45zcVfVh1gVBMDc3l3nz5vH0008jpbz+jtcRFBREjx49AHB3d6d9+/bExcVV+bhK5aw/mkBzXxfaBrjXdVOURqahxS8Vu+qXmzsE8OiIcJyM+rpuikI9eRInpfxNCNG8xOIJwJD8n78AtgFPlNhmFLBJSpkMIITYhJYMflPVNq14fT8AFosFvV77n7V1T386Dwlh58ozmPOsxbY351n57fuThPcNJDszj/UfHim2ftLfe5TrvIcOHcLf359Ro0Zx9913M3v27OvuM3DgQDIyMkotX7RoETfffHOp5efOnePAgQP07du3cJkQgpEjRyKE4L777uPee+8tV3uVikvLNrHj9GXmD2yBEGoOVKX6FcQvuBbD6mP8qmrsUnGr9o3Jn8NZqR/qRRJnR4CUMj7/5wQgwMY2wUBMkd9j85eVIoS4F7gXICAggG3bthVb7+npWSyYWCzadEhSysKfc3JzycjIIDMl12aDc7PMZGRkkJNlKtyngK1AVZLJZCI6Oprp06fz1ltv0bdvXzIyMhg8eDC9evUiIyODgQMHlupzsm7dOrvHLHnezMxMJk2axCuvvIIQonD9+vXradq0KZcuXWLChAmEhoZy0003Fds3Jyen1HWzJTMzs1zbNVZXTZLbwo2EmOPZti0RUNesMhrTNats/IJrMawu41ePHj04deoUX3/9NR4eHoX7VDV2lSduFVDxq+p2x5tp463D26n4Szx1zSquuq5ZfU7iCkkppRCiSs/kpZQfAR8B9OrVS5Ys5xAVFYW7+7VXW1P/0RvQAknR5QBuPo6FryJKLnd3d8fdHab+w6fCbTx06BC9e/cmOTkZDw8P3N3diYmJISIignfffReAoUOHct999xU+HYTy382aTCamTp3KnDlzmDVrVrFt27bVCsy6u7szZcoUjhw5wujRxd9wOzk5lau/iyqXcX1jSvyurlnFNaZrVtn4BaVjWG3Hr6FDh/L6668zf/58zGZzsbZUNXaVJ24VUPGrahLTc7jrlc08OLQ1fx9SvCC5umYVV13XrD4ncYlCiCApZbwQIghIsrFNHNdeuQKEoL12rVH9J7Ri61fHi72SMDjo6D+hVZWOGxkZSUREBLNnz2bSpEls2bKFffv20bNnz8JtXF1d0emK3wX9/vvv1z22lJL58+fTvn17Hn300WLrsrKysFqtuLu7k5WVxcaNG3n22Wer9FkU267mmdlwNIHh7QPwcFKVzpXaV9vx6/jx4zzyyCNEREQQFhZWbJ+qxC4Vt2rXqoNxWCVMUsXI65X6nMStBuYCr+Z/X2Vjmw3Ay0UGM4wEnqrphhWM4qru0V2RkZH06dOH8PBwFi5cyLRp04iIiGDGjBmF60NDQyvVj2r79u0sXbq0cDg+wMsvv8yYMWNITExk0qRJAJjNZmbOnGn3blapml9PXOKR7yL55p5+9G/lW9fNURqh2o5fb7zxRuETs8qwF7vatWun4lYtWr4/jm7NvGjp51bXTVGKqBdJnBDiG7Qnak2EELFoI05fBb4XQswHzgPT8rftBdwvpbxbSpkshHgB2JN/qOcLBjnYOc94YHzr1q2r3ObwvoHVMiS/qEWLFhX+PG7cOMaNG8eYMWNIS0vD0dERvV7PwoULK3XsAQMG2B0l1rJlSyIjIyt1XKVifj6SgI+rA72b1/ggauUG0xDj15QpU6hqe8uKXSpu1Y5jF9M5npDBCxM61nVTlBLqRRInpZxhZ9VwG9vuBe4u8vunwKflPM8aYE2vXr3uqUw760JZHX+VhiXXbGHL8STGdQnCoK8v1X2UhqIhxq9ly5bVdROUarD/QgqOBh3jujSt66YoJdSLJE5RGoMdp6+QmWtmVCdV4FdRlIZjdr8wxndtiqez6sdb36jHAYpSS/adT8Hd0UCE6gunKEoDYbVqr7JVAlc/qSdxilJLHhvVlrkRzXE0qErniqI0DI/9GInJInlnRvVPB6lUXaN6EieEGC+E+CgtLc3m+uqY3upGpa5N9fBzd6zrJigNlIpflaeuTeVk5Zr5+XAC7k7qeU991aiSOCnlGinlvZ6enqXWOTk5ceXKFfXHboOUkitXruDk5FTXTWmw/rP+OP/4UY2kUypPxa/KUfGr8tYfSSDbZGGyqg1Xb6n0Ol9ISAixsbFcunSp2PKcnBz1x4/2j0RISEhdN6NBsloly/fH0bVZ6X98FaU62ItfoGIYqPhVWcsPxBLq40LPMFUSqb5SSVw+o9FIixYtSi3ftm1buaZqURR7ImNTSUjP4YlOlS94qihlsRe/QMUwpXLi07LZceYKDw1rU6kC80rtUEmcotSw9UcSMOgEw9oF1HVTFEVRysXZqOfJ0e24pVNQXTdFKUOj6hN3vY7BilLdpJSsP5pAROsmaoi+UiUqfim1ycvFgfsGtyLU16Wum6KUoVElcWV1DFaUmpBnsTK6UyC3925W101RGjgVv5TacuZSJisPxJFjstR1U5TrUK9TFaUGORr0PHVL+7puhqIoSrl9vesCS3eeZ0hbP5yMqq5lfdaonsQpSm3bcy4Zk8Va181QFEUpF7PFyqqDFxnWzh8vF4e6bo5yHSqJU5QacvZyFrd9sJOv/jxf101RFEUpl99PX+ZyZi6TeqjacA2BSuIUpYZsOJoAwIiOasJ7RVEahhX74/ByMTK0rX9dN0Uph0aVxKnRXUpt+vlIAl1CPAn2cq7rpig3ABW/lJpmtUrOX8lifJemOBgaVXrQYDWq/0pqdJdSWy6mZhMZk8oo9RROqSYqfik1TacTrHzwJv45Vg3GaigaVRKnKLVl8/EkAG7ppJI4RVEahjyzFSGEGpHagKgkTlFqwMw+oSx/IIKWfm5lb3joe3izE4O3TYQ3O2m/K4qi1LK41Gx6vrCJjfl9eZWGQSVxilID9DpBj9DrTBp96HtY8xCkxSCQkBaj/a4SOUVRatnKA3Fk5JppF+hR/p3UTWidU0mcolSzdYfjeX7NsetXO9/8PJiyiy8zZWvLFUVRaomUkhUH4ugV5l3+abbUTWi9oJI4Ralm3++NYVNUAo7XG92VFlux5YqiKDXgSFw6p5MymdwjpPw7qZvQeqFRJXFqiL5S09JzTGw/fZnRHQMRQpS9saedgGlvudKoqfil1JRl+2Nx0OsY2zmo/Dupm9B6oVElcWqIvlLTth5PwmSRjO5UjmA4/FkQJf4EdQZtuaKUoOKXUlOm9WrGi5M64eliLP9O6ia0XmhUSZyi1LT1RxLwd3ekezOv62/cZgRICY7uSAQYXcFqBg813Y2iKLWnQ1MPpvVqVrGdhj8LOhtJX1hE9TRKKReVxClKNfJxdWBqzxB0uuu8SgU4sR6QMGcVvw5ZCY+dBJ+WsOI+yFGvzBRFqXlf/nmeveeSK75jl2ngFQY6o3YT6hkCQd3g8A9wZku1t1OxTSVxilKNXprUmX+Mble+jS+fBM9QCO6h/e7oBpM/hvSLsPezmmukoigKWh/e5386xurIixXfOSMRks/AoMe1m9BHjsK8teDXDn64E66cqfb2KqWpJE5Rqklieg5SyvLvcPO/4S+7oegAiJBeMH8jRDxU/Q1UFEUp4ufD8eSZrRUblVrAkgs97oCOE68tc3SDGd9AYOfS/X2VGqGusqJUgzyzlZvf+JVXfz5evh0Kkj2jc+l1Ib1Ap4O0OO1LURSlBizbH0fLJq50DanEYBmvULj1bfBrW3y5d3OY9xP4tNDinNVaLW1VbFNJnKJUg53RV8jIMdOnhU/5dlh+Dyy/z/56cx58OgqW3wvW6xQNVhRFqaCY5KvsPpvMpO7B1y+HVFJ2KsTtv3YzaovFBD/eCVtU3biapJI4RakG64/E4+qg56bWTa6/cd5VOL4WHMqojG5wgCFPwvk/YOe71ddQRVEU4NyVLJq4OTKxeyVGw0etgY+HQsJh+9voDODkCX+8CYd/rHxDlTI1qiROFctUaoLFKtl4NJGh7fxxMuqvv8OZzWC6Cu1vLXu7brOg/XjY/ALER1ZPY5UGS8UvpToNbOPHrqeH08ynnNNsFRW1WnudGtjZ/jZCwC2vQWgErHpQe3KnVLtKJXFCiDFFfr7Ov0T1hyqWqdSEveeSuZKVx+hOgeXb4dhqcPaG5gPK3k4IGP82uPjCsntKT3GjNEiVjZ8qfinVJSvXjNUq0ZenFFJJOWlwZqt2E3q917AGB5i+FFz94dtZ2ohWpVpVOIkTQowFZgohxhT8XP3NUpSGo1OwJ+/O7M6Qtv7X39icCyfXQ9uxoC9HdXQXH5j4X2jaTSsErDRoKn4q9cF/1h/n5jd/xWKtwGj6Aic3gNV0/TcJBVybwIyvQaeH1AsVP59SJkMl9mkCZAN+gBV4uVpbpCgNjKujgXFdmpZvY4sJBjwCof3Lf4LWw7Uv5Uag4qdSp0wWK2sOxdO/lW/lnsSdWAfuQRDSu/z7BHaGv+7Xnswp1arCSZyU8gshxDdSyjwhRCvgSg20S1EahBMJGWw5nsTMPqHlm3fQ0Q0GPlq5k106ARuehkkfane3SoOj4qdS1349cYnkrDwmV2ZAA8DE97VCvroKvsgzOGijWX9fBA5u0O//Knd+pZjKDmx4SQgRDLwIqKFzSqO18mAcizaeQFKO1xIWMxxdCbmZlTuZJQ/O/gZrHi57aL9S36n4qdSZ5Qdi8XV1YFC4X+UOYHSGwE6V21dKuHhQuxk9vblyx1CKqWwS5wFMAF4BKjFfxzVCCCchxG4hRKQQ4qgQ4jkb2wwSQuwXQpiFEFNLrAsVQmwUQkQJIY4JIZpXpT2KUl5SStYfSaB/S1+8XMrxmuD8H/DDXIjeWrkTBnbWJp0+/hMcWFq5Yyj1QbXFT0WpiLSrJn6JSmJ816YY9ZX453/zC/DnB5VvgE6nvUnwa6/VkFNTc1VZZZO4bYC3lPIQcKqKbcgFhkkpuwLdgNFCiH4ltrkAzAO+trH/EuA1KWV7oA+QVMX2KEq5nErK5OzlLEZVZFSq0QVaVaF/W78HocUg+PlJFQAbrm1UX/xUlHJzddTzwewezOkfVvGdTTmw6wNIOla1Rji6aQMdhB6+uV0b7apUWmWTOH+gef7P5fwXzDapKXi/ZMz/kiW2OZcf8IrN3yGE6AAYpJSb8rfLlFJerUp7FKW81h9JQAgY1SHg+htbrdoTtDYjyi7yez06HUz8APQG+P2Nyh9HqUvVFj8VpSIMeh3D2gXQys+t4jtHb4W8TOhQDVXFvJvDtCXaaNXzO6p+vEasMqNTAVoBMfk/u1e1EUIIPbAPaA28J6XcVc5dw4FUIcRyoAXwC/CklLLUPEVCiHuBewECAgLYtm1buU6QmZlZ7m0VTWO5ZpEncgn30nFs/59c797UM/UY3TMTOSZbk2Tj2lT0mrl1XECWazNkI7jO9jTg/88qHD8rG7+gQV+nOnGjXq9LV638Fmvm5jAjno4VH5XaLuojfA2u7LggkbHbiq2r7DVz6P0BefHOEF/xfRu6avv/TEpZ4S9gMVp/jk7Al5U5hp3jegFbgU521n8OTC3y+1QgDWiJlpAuA+Zf7zw9e/aU5bV169Zyb6toGtM1M1us5dtw6ytSPu8nZU667dWVvWbZqVImRlVu3wauItcM2CurKU5V9auq8bMi8UvKxvX3WB1u1Ou1+JeTMuyJn2RsytWK72zOk/KVUCmX32dzdZWvWdRPUh7+sWrHaGAqes3sxbDKvk59HRDAHOCpSh6jFCllKloSN7qcu8QCB6WU0VJKM7AS6GFvYzVtjVJdTBbtzX656ywNfgL+uhccq/zgurhvZ8E30yE3o3qPq9SkSsVPFb+UypJSsuJAHP1a+hDs5VzxA1xN1mpbdpxcE42Dnf+FlQ+oqbkqobJJXCcp5ZNSyieA7lVpgBDCTwjhlf+zMzACOF7O3fcAXkKIgrHSw8D+my2ppq1RqsmMj/7kqeVlTP5ckhDaXIPVbeg/tX4lPz9Z/cdWakql4qeKX0plHYhJ5ezlLCb3CKncAdwDYOa3ED6yehsGWmyc9kWRqbkSqv8cN7D6MO1WELBVCHEILSnbJKX8SQjxfMG8gkKI3kKIWOA24EMhxFEAqfV9ewzYLIQ4jHZ3+3EV26MoZUpMz2Hv+RSaejqVb4ffFsGqv9RMbbew/jDgUTj4JRxbVf3HV6qVmnZLqQsr9sfhaNBxS3lH0hdltUBabPU3qqiCqblyUrVEzpRTs+e7gVw3iRNCdCyxqOi0MT5UcdoYKeUhKWV3KWUXKWUnKeXz+cuflVKuzv95j5QyRErpKqX0lVJ2LLL/pvx9O0sp50kp86rSHkW5no1HtTvFWzqXIyBKCQe+hPS4608WXVlDnoSm3bUiwOnxNXMOpVJqOn4qSnlYpGR816a4O5VjVpmSLuyENzvC6V+qv2FFBXaGSR9A3F44urxmz3UDKc/o1KXk9zMTQtwtpfwf8EX+7y5SlfRQGpn1RxNo5edKa/9y9G9LPAIpZ+Gmh2uuQXojTP4YNv6r5s6hVJaKn0qde3lS54JBNRV3bDUYnKBZyfKtNaDDBLhnCzS127VdKaE8r1OLPj54oMS636uxLYpS76Vk5fFndDKjK1LgV+ig3Tibq9dGr2XkjyP56/m/MvLHkayNXlu5hjVpAzO/A4+gyu2v1BQVP5U6lZShvZoUlXkTYLVC1BqtQLljJWrLVUZwT+2tReIxiP61ds7ZgJUniSuavpf8v6CyAyMUpUHS6wX/GtueSeWdPDpqNYTdBG6l5ylcG72WBTsWEJ+lvQKNz4pnwY4FlU/kADIS4evbtQCo1Acqfip1Ju2qiQGvbuXj36Ird4C4fZBx0W6B32q7CS1JSvjpEfhuDlw+XT3HvEGVJ4gECiHmCSG6UzoIqVm4lUbFw8nInTe1KN+rVHMetBwKPe6wuXrx/sXkWIp34M2x5LB4/+LKN1DotD4ly+8Bc27lj6NUFxU/lTqx8kAcg1/bSp7Fyke/R7PyQFzFDxK1CnRGCC9d9atGbkILCAGTP9JmplFTc5WpPEncAqAn8BYQkj/J/DIhxEtonXQVpVHIzDXz475Y0rJN5dvB4AC3vApdptlcnZBleyi9veXl4uYHE/6r9cXb/Hzlj6NUlwWo+KnUspUH4nhq+WFS82PVpYxcnlp+uOKJXP+/wvQvwdmr1KoauQktyjtMm5or5Sx8NkYbXLHAC97sBIe+r55z3ACum8RJKT+SUv5VSjlYStkEGAn8D0gHfqvpBipKfbH1eBKP/RDJycRyFtaN26cNz7cj0NV2vzp7y8stfCT0vht2vgvR26p2LKVKVPxU6sJrG46TbSoee7JNFl7bcKJiB3IPgLa2a+/XyE1oSc0HQJfp2k1pWiwgIS0G1jykErl8Fe6TIaWMlVL+LKVcKKWcXRONUpT6aP3RBJq4OdIj1Pv6GyefhY+HwW77ZQtnty/95+Okd+LhHtUwknXEC+DbBra8WDP16ZRKUfFTqQ0XU23XWbuYml3+g0R+C/uX2l1dYzehJZ21ca9jylZvGvKpjrWKUg45JgtbjycxsmNA+abailqtfbdzFwtwKfsSAoG/i3/hsr/3+jtjW46tanPBwQVmfAOzfqi5+nSKotQrlzNzuZpnpqmdqbXsLbfp99fh0Hd2Vz/c42F0ongKYdQZq+cmtCh7hYZrugBxA6GSOEUph99PXeZqnqX8Fc+PrYagruDd3ObqbHM2y08tZ0TYCDbftpmng54GwEHvUE0tRis74uwNB7+GReGqP4mi3MCOXkxjwrvb+eeKIzw+qi3ORn2x9c5GPY+Palu+gyUdh8sntbptdvQJ7IOUElejK6AlcO5Gd0Y3L+/U5+XkaWeqMKGDfZ+DpZx9lG9QKolTlHI4GJOCp7ORfi19r79xWpw2QrS97WH5AOui15Gel86MdjMACHIIYtmty5jUelJ1NVlz6HtY/RfITET1J1GUG9PaQ/FMeX8HVimZP6AFE7sH88rkzgR7OSOAYC9nXpncmYkVKY0EdutbAvwa+ysSyXfjvuOdsHdYOGghybnJbLqwqeofqKjhz4KxxBNEvSN4hmqz1LzXB/KyqvecDUh5ZmxQlEbv8VHtmD+gJUZ9Oe57TqzTvpdxF7svcR/h3uH0DOhZuCzcO7yqzSxt8/OlB1cU9CexM2pWUZSGwWqVvPnLSd7ZcpqeYd58MLsnfu6OAEzsHlz+pK2kY6uhWd8yi4dPDZ9Kz4CehHmEcZazDGs2jOYezfn08KeMChtVueLCthTEqc3Pa69QPUO0xK7zbXBqozaAzEF7Gsj5ndCsD+j09o93g1FJnKKUk49rOV919pwH/h2015l2vDTgJdLz0osFOiklL+16CR8nHx7oVrK4fyWp/iSKcsO6lJnLl3+eZ3qvZjw/sSOOhmpIXvKytKn8yrgJLdDCs0Xhz3qdnnu63MO+xH3kWHJwNlSg/931dJlm+6YzfJT2BXDpBHx2C/i1hSFPaW9CdDf+y8Yb/xMWIYQYL4T4KC1NFQ5Uyu+VdVE89kNk+XfQG6H5TXZX55hzEELg6ehZbLkQgsvZl/n+xPeYrebKNrc4e/1J7C1X6i0Vv5QCiek5SCkJ8HBi3cMDeXVK5+pJ4EB7qnXvVuhn/0ZywY4FLNy9sNTyW1vdynMRz1VvAldevm1g6qcgrfDDXPhwEBxfd8OPzm9USZyUco2U8l5PT8/rb6woaK8rlh+I42peOZOqoyth07/tzpaQkJXA0O+HsvHcRpvrb211K1dyrrDj4o5KtrgEW/1JDI7aclMOWKopWVRqnIpfCsCO05cZ9dZvvP/rGQCCPJ2r79UlaN0twO6o9rTcNNacWYNF2q+BeejSIc6knqm+NpWHTgedJsMDf8Kkj8CUBT/eBVev1G47almjSuIUpaL2X0jhUkYuozqWc1Tqvs+1CaPtjDL9/sT3ZJmy6ODbweb6gcED8Xb0ZtXpVZVscQldpsH4t8GzGSC077e+qy1f/wR8MR7SL1bPuRRFqTFSSr7YcY45n+7Gz82RMZ3s91ertLRYWNgCjq6wu8lP0T+RZ81jSpspNtdnm7O5/5f7effAu9XfvvLQ6aHrdHhwD9y5FlybaE/j1j4GZ7becE/mVBKnKGVYfyQBB72OYe38r7/x1WStMGWHW23exeZacvnx5I8MbjaYEHfbrzONeiNjWo5ha8xW0nKr6bVZl2nwyBFYkKp9L+hbEhoB8Qfhg4FwenP1nEtRlGqXZ7by9IrD/Hv1UYa29WP5AxE0b+Ja/SeKWgPmbAjobHO1lJJlp5bR0bcjbX1slytxNjhze9vb2XxhM2fTzlZ/G8tLb4Dg/IFjGQnagLOlE+HzsXBue921q5qpJE5RbFh5II6bXt3M//44ixCwOSrp+judWAfSYre0yIZzG0jJTWFmu5llHmZS60ncFn4bJmsN1z/qOh3u3QaufvDlFG12hzKmCVMUpW5Exafzw95YHhzaio/m9MLdyVgzJzq2On9QVmubq49eOcqplFNMbjO5zMPMaj8LB70Dnx/9vAYaWQkeQfDX/XDLf+DKafh8DCyZcEMM8FJJnKKUUDB5dFz+1DW5Zmv5Jo8+tlqrXdS0u83V30R9Q0vPlvQL6lfmYdr6tOWpvk/RxLkW5kf3awv3bIFus+DP97U6coqi1AtXMrW+tV2bebHl70N4fFQ7dOWZMaYyMhLhws4y61t6O3kzp8McbmlxS5mH8nX2ZWLriaw+s5rErMTqbmnlGJ2g733w0EEY+RJkXQFnH21dTrpWO/PNTg2uKLpK4hSlhNc2nKj45NFSgosPdL3dbofglwa8xDP9nilXJ2SrtLI3YW/1TiZtj4MLTHwPHtipzTAhJSQcqfnzKopi19pD8Qz8z1Z+OaYlQaG+LjV7wuM/AVLrDmJHsFsw/+j9D9wd3K97uHkd5+FudOdU6qlqbGQ1cHCBiL/A/b9rP1tM8HZ3WHF//k1swyqKrpI4RSnCYpXE2ZkkuszJo4WASR/AsH/a3aSlV0t6BfYqVzuSc5KZv3E+35+oxSDiFap9j/wWPhgA215Vr1cVpZZZrZLXN57gwa/30z7Ig67NvGrnxC2HwKiXtdepNuxJ2MOu+F3Icg4MCHEPYfNtmxkQPKAaG1mNCm6mrWaw5GldYYoqKIqenQJJUZB5qXriYf4Tv8HbJlbLEz9V7FdR8sUkX+Xv39uvB1fm5NEZieAeYHPV5ezLLNy9kAe7PUhzz+blaksT5yZENI1gTfQa/tL9L6Ummq5RHW6Fs7/Ctlfg/A6Y8j9wK8fADkVRqiQz18wj3x1k07HE6i3gWx6+raD/g3ZXv73/bdLy0lg1ofwj5416I1ZpJTYjllCP0OpoZfUzOkNuhu11abHaiNYf78xfILQ3Lq5+Wk26gI4Quw9ObwIXX225axPtu09LrWZoUYe+157wmbIRcO2JH1R6Bh31JE5RgGX7Yhn91m9Exaczs08znI3F/zTKnDw6LwsWd4VtpYtfAvxw8gfWn1tf4TZNaDWBhKwEdifsrvC+VeLgChPf10qRxOzSnsqd+6N226AojdAvxxLZcjyJBeM7VG8B3+s5v0MrjGu12lx9OuU0By8dZEqbKRWuSffSny8x5+c55JhzqqOlNaOsoujN+mgJ2y2vwaDHtZksmoSDo4e2zcX92g3vuse0IsOfj9Xmc03P70O9+2N4rx98Pq4wgSum4IlfJakncYqCNnihW6gX/5nalWAvZ/q08OW1DSe4mJpNUy9nHh/V1v48hKd/0Yblh5YesGCymPjhxA/cFHxTuZ/CFRjSbAjuRndWn1593cEQ1U4I6DEHgnvAD3dqhYEVRakRaVdNeLoYmdg9mE7BHrT2v36fs2q1fTEkHoO2tgcsLD+9HIPOwPhW4yt86Fta3ML3J79n5emV3N7u9qq2tGYMf7Z0gmV01pZ7hpQ9w02fe7SpFq8mw9XLkHUJsi6De34dP1c/7Sln1uXSCVyBKoySVUmc0mitOxyPyWJlQrdgZvRpxu29mxWO/KrQ5NHHVmuP0sNKT7X1y4VfuJR9iQXtFlS4fU4GJ0Y2H8nOizuxWC3o62JS54CO8H87tJpLAEeWQ/OB4OZX+21RlBuMlJIlO8+zaOMJlv1fBOEB7rWfwOWkw5kt0Psem4Oy8ix5rDmzhmHNhuHj5FPhw/cM6EkXvy58fvRzpoZPxaCrh2lHwavMzc9rCZVniJbAlfcVp96odaex1aWm40TtC7Q+cLYqAFRhGsR6eDUVpWalXTXx7OojrDp4kZta+3Jr16YIIewNKi2bORdOboBOk64lOkV8c/wbmrk3q3Tn3r/1+Bv/7PvPukngChR8rqwrsOov4OQBUz4pc35YRVFsW3kgrvApv7ODnqt5Fm5u70+Qp1PdNOjURq1jv51RqefSz6EXerszNFyPEIL5nebz8NaH2XhuI2NajqlKa2tOl2mV7pdWbmU98ask1SdOaVR+PXmJkW/9ytpD8Tw6Ipwv7uxTtXkHz2yFvAxoP6HUKovVQq+AXtzd+e5KD0zwcvLCqDeWe0RYjXL1hfkbwOiiTdf1++t2+9AoilLatRqU2Ujgap4Fg04wtlNQzRXwvZ5jq8AtEEL62Fwd7h3Opts20a9p5bt0DGk2hJaeLVl3dl2lj3FDKDINoiyYBnH821VKHlUSpzQaJxIymPvpbtydjKx44CYeGt4Gg76KfwKh/WDSh9BiUKlVep2eh3o8dN3q5tezJ2EPY5aPIS7zOsWGa0NgZ22Whw4TtFcP385UiZyilMPF1GwWrj9eqgal2SpZtOlk3TTKaoVLJ6D9OG0C+RKyzdlYrBaMOmOVRsjrhI73hr/HW0PfqkJjbxD50yD+OmRl8WkQK0m9TlVueEkZOfi7O9E20J13Z3bn5vYBOBmr6fWks5dW4LeE1JxUIi9FMiB4QJVfhTZ1a0psZixrzqzh/q73V+lY1cLJQxut1XyA9lrARvBXlMZOSsnxhAw2HUtk47EEjsSl2922zBqUNUmngwd3gemqzdWfHP6ENWfWsHLiSpwNZZRYKoeC+aJNFhPGkqU3lEpT0Ve5YeWaLfxn/XEGLtzKkThtMvlxXZpWXwIXtw92/hdyM0ut+vHUj/xly184l36uyqcJdgumd2Bv1pxZUz9eq4LWAbr3fK3yOWj9An+4E97s2OCmrVGU6pZ21cTA/2zllsW/8+YvJzHqdTwxuh0BHo42ty+zBmVNklL7W3ZwLbXKYrWw4vQKWnq1rHICV+Do5aOMXDaSg0kHq+V4ikrilBtUVHw6E97dzn+3nWFS92CaNykdpKps/1Jt0vgST9rMVjPfn/iePoF9aOXVqsxDpK1Zw6lhw/G///84NWw4aWvW2Nzu1la3ciHjAgcvHayu1levHe/A0eX5Q+Ub1rQ1ilIVWblm1h+J59HvD/LMSm26Ok8XI4PC/Xhlcmd2PT2cFQ/cxP8NacVTt7THucRNZJk1KGuSORfe6aHN0GLD9ovbSbqaVOaAhvLGrwItPFtgspr49MinVWq6co16narccD7+LZrXNpzAw9nIJ3N7Mby97ZkUqsRq0eYaDB+pjS4q4teYX4nPiueJ3k+UeYi0NWuIf+ZZZE4OAjBfvEj8M9ooJc/xxesxjQgbwcu7XmbV6VV09+9erR+lWqScK72soIhlTY/4UpQ6sP5IPN/vjeWP05fJM1vxdDYyoVvTwvUvT+pcap+CskXlrkFZk85sheRorTySDctPLcfHyYfBIYNtrq9I/CrgYnRhRrsZfBD5AdGp0bT0alktH6UxU0mccsPJyDExvL0/L03qjI+rQ82c5MKfWlHH9qWH5X99/GuCXIMY3Mx28CuQ9OZbyJziRXRlTg5Jb75VKgi6Gl15uMfDhHmEVb3tNcFescq0WIjZDRv+CWERWi290L7g5Fm77VOUKjpzKZMtUUnMu6k5Rr2O/RdSOZmYway+oYzoEECf5j7lGihVoRqUNSlqNTh6QovScepy9mV+jfmVOR3m2O2/VpH4VdTMdjP5/MjnfHrkU14c8GLVPoOikjil4ZNS8tWuC4T5ujCwjR8P3xyOTlC10iHXE7UaDE7QZmSxxRl5GcRlxjG97fTrFrU0x8dXaPms9rMq19ba4Bliv4ilOVf7eee7sP0tEDoI6ATTl4J3c22EnBocodSxgvptcanZBP+5hcdGhBPaxIWNxxLZdCyR6EtZAPRs7k2PUG8eHRHOU7e0q9k4U1MsJji+FtqOBkPpG11vR2/eHvZ2mU/KKhq/Co/t5M2U8Cl8d/w7HurxEP4ual7mqlBJnB1LHnuanCvdMTn4cPKLH3DyPcAdi16u62YpFC+WGeDhhJeLkeMJGUzuEczANn7odbUQVLMuQ5sR4OhWbLG7gztrJ63FLM3XPYQhIABzQkLp5UFBdveJSY9hf9J+JrQuXZeuTpVVxLLFQLh7E+Rdhdg92jyNMbuuTUuzeYE2MKLgSV1YBHg0tXkapfz2rP6QZvtfY5C8RMI2P2J6PE7vW++r1nMU/VusyVeDNXkeKSU/7I3l2VVHyDFr5XLiUrN5YsVh8sxWDDpBv5a+zItozs3tAwoHIVTbAKm6cO4PyEm1+SYBtPJIA0MGlnkIQ1AQ5osXbS6/nnkd5zG02VD8nNXML1Wlkjgbljz2NFlpA7E6aiOJTI6+WNIGsuSxp6s9kXv7h0dZlbaBSwaBn1kywXMUD932RrWe40ZSUCyzoNZSQnoOCek5TOkRzGtTu9ZeQ6Z+ovWLKyLHnINO6HDQO6Dn+gHeEBRUKokTTk74P/I3u/usOL2CT458Qv+m/evXHWx5pq1xcIGWg7WvogI6afM2HvoB9uZ3eG7aA+7dqv18NRmcva9NCXToe9j8PIPTYuFABafHaST2rP6QC2u3ciDvFUwOPhjzkvGNXwZQbYlcyb/FuNRsnlp+GKBaE7nynMdqlWTkmEnLNqHTQYi3CwA/7I0h5Woeadkm0rO19b2ae3NH/+ZYrZI+L28mPdtEnqV0rcM8sxVvFyPbHh+Kp/MNVhLDPRB63w2th5daFXkpki0XtnBXp7vwdLTf7cH/kb8V9okrIBwcyoxfBQJdAwl0DaxU05XiVBJnQ86V7oUJXAGr3pHslL589NQDuDfzY8YDzwGwfPUCrA4SJycnXI1OuBgd8PdpRYvWowGIiVqBAYFRb8Soc8BB74CDR1P0vm14+4dHSfzjEtPTFxQG2vMeq3mbR6s1kfv+X9NpuvEQ3umQ4gEXR3Zh2ovfVdvxa0tatolXfy5dLBPgz+jkwnlPa5zFpM2VV2JU6vcnvueTI5+wYsKK684xmL5+PTkHDuA2YgQ5R49iungRAfg9/HCZ/UnGtxrPx4c/Zm30Wu7sdGd1fJrqU9lpawr2s1og4bD2pM5cpK/Np6MgN0N7Qmdw1OZvNWudqQtHwRYcRwEgeu3vJFvnFrsRTbLMxbz2K95M7MqHc3ri7mRk5YE4Nh9PwqgTGPU6DHrt+7/Gtseg17H1eBJH4tIw6HUY89c5GnTc3ieU1zacYF7iRrxN/QvjV4pxJ8//pC9MrnacuUxcSjZWKbFKsFglbo6GwvVrD8UTm3IVq0TbxirxdXNkZt9QAL7YcY7XNpwo9TefbbLw2oYTfLXrPCcSMsjINVNQfWdEhwA+vqMXAK/+fJwrWXnodQIPJwOezkaa+WhP0nQ6wbguQTgZ9Xzw6xmb1zH1qunGS+AA/NvD2Ndtrvr2+Lf8GvNrmTUpLZmZ5Bw9hv+TT3Dlo48xXbyIsWlT/B/5W5nxqyirtLJo7yL8nP3qXyxrQOp1EieE+BQYByRJKTvZWC+AxcAY4CowT0q5v6rnNTnY/gfYbHSHlKlcjTsMD2jLUn9ogU7qyDFnkWbNBOslDrvv4e7PtCRuxctfkKe7ylWHLLIcsshyMhHs58NTT/5Oym+XCMmZialIoA25OpOE376G2yD7ahpLvxiDm9EVd6M7Hs5eeLr4ENz6ZvzajULm5SBjDoKTFzh7goM7CIFwcEAYjUiLhR//eTtefzpxvMPz5Dr64JibTOgfq/n+X9PrfSK3bF8sUfHpnEzK5GRCBgnpOXa3rbVimVLCf/tBh4kw/JnCxVZp5dsT3xLmEXbdBE5KScpXX+PUuTMhb7yOMBr5bdUq/P71DKb40q8nimrh2YIufl1YfWY18zrOa5j9cezR6aFpN+2rgJTQ934tsTu/HTJs9LdRo2BLScubYPNGNNkyiwlbN5A5xBv3Nm1h+QcMPncZi7CSJwTZOj0ZwgE56lXQO7Jj5yHW7b1ArsGRbL0jOQYHHBwduL1PKLdG/4SHHFEsfnlYRjA95mdgBACf/nGOX6ISi7UjzNelMIn7atd5dpy5Umx9+yCPwiRuTeRFMnNtd024mJrNxO5N6djUEw8nAx7ORjydjcXKCf388EBcHA24Ouht/q0suLVj4XnibMSQOqvfVpOunIHsVAjuUWrC+7TcNDad38TE1hPLrA13+Z13SF6ylObff0ebLZvZtm0bQ4YMwXr1KomvvYbXxIk4tmlTZjN0QkdMegxrzqxhetvpuBhdquPTNTr1OokDPgfeBZbYWX8L0Cb/qy/wfv73KjHmJWNyLD3s2pCXRpfBOoxu7QqXOfmDKUeSa/HAYm2CFSfcXLQRhBazBb3LX3AWOpwBXwvo0nNxSdNeBQRlTigMgAWsekeCs7Rpmi6cPEb7L5uis5jQW7PRWdMxW8+woc9hZn8wisjta3H4v2cQFC8Ae/7Wzoz+z/ec+GU5TXY4cbztTKx67Ty5Tr6caTOT4D1fk2u2kJFjxsfFofaeYhWRa7YQfSmLk4kZnEzM4ERCJr6uDiyc2gWAd7eeJi41mzb+bkS08iU80J3//R7N5cy8UseqtWCbcAiunAav0GKL/4j7g5iMGB7q/tB1DyGEoNn/PsaSmoowanf5Vk9PPEaPJm3Zcvweegi9m5vd/Se0msALf77AseRjdPTtWLXPU98VFBXuPV9L6J7zBmwUPLY3OraRsncjatU5kOLSFUcPDwDSk5zIcL2t2DZOgDX/Grf8bTt3yQ4YzNnozckYzVfRWzOB0doTOBvxyzs3ovD3lyd34t+mDuh0Ar0Q6ATFRnD+b24vpAS9TiAE+dtci0U//l8EN726hUTrDhz9NiCMqUiTF7mXRhGgi+DxUe0oi79H+SaVf3xU22KvbKEO67fVtN0fwd7P4B9nwNG92Kp1Z9eRa8ktszZczvHjJH/5FV7TpuHcuXgZFWtuLmnLlpO9/wBhX32JuM6Apfmd5zPn5zmsOL2ifg/cqsfqdRInpfxNCNG8jE0mAEukVsb+TyGElxAiSEpZ9vCY63DyPYAlbWBh4gOgs+Ti7LOH/nOL94mb+fpcW+0GQOh0THq8FzmZJrLTcrianEl2ajZBLbU7FJODt83zm4xagPXyaM0vnf+v1Hr/dtr0LWZjGNuHvIuUZsAEmJCYcPU7B8Cp9Cxi287Cqi8++siqdyQp6FZ2vvsccuVG0prkkBbgTkZQc4RnG4aMnknHNq2JTbnKvvMpNHFzxM/dkSZujng5G+0mfPY6UpstVs4nX+VkQgaXMnO5o39zAO78bE/hXbhBJ2jp50qw17Wg+919/fB1dSw2UCHQw6lug+2x1droynZjiy3++vjX+Dn7MTysdB+Toq7u2YNj+w7o3VzRBRSvX+dzxxzS16whbfkKfO6YY/cYo5qP4s19b3Ii+cSNn8QVJUTZo2CVQsa8FEyOpRM5Y14yY9+JwDu/P1LvBbcRHX+OqymZZCenYE7JxHw1D0fHYQBYOjiSFXMeLA5gdURYfQAtPtlLFIvGtQ1/+w9mkytWxxxtNz9H3Fv7M23qHQBczDqHUW/Ey9ELdwd3m/NzjuwTx4F9Z+l3+GHc8rzJdEjhz2Y/071n9ZXbKVq/LS41m+C6rN9Wk6xWiFqj9YUrkcBJKVl2chntfdrT3re9zd2l1UrCc8+j9/Cw2ffN4O2N/xNPEP/UU6R+/wPet08vsznd/LvRw78HXxz9gmltp2HU3YCvrmtYvU7iyiEYKBrRY/OXVSmJu2PRy8VGpxrzkis0OrXgsb1OJ2ja2svudg6mFPJsBEIHUyoAvs18mPpkLywmC+Y8q/ZlsuAXqv3xte/cGTn+YuFys8mKJc9Kx4Haq4w+fSZx4Ze9Ns+d6+hDismLi+1eBmnFITsT96hUrKRx0m8zHdu05ve1bxN/dg8XMCGskGN2J1UGcPudD9OpVRh/nLzEysiL+Lk7EnR+NbrYPWxLewXnPB+yHZIJ2vM9P0Ve5JvcfuTlj/pyMOiY2ScUg17H/AEtuL1PKG0D3GnRxBUHQ/EA7u9e+i66zotlRq3WRlC6NilcFJMRw/a47TzQ7YEyg1BeTAwx992P+4gRNF34aqn1zp07E/TqK7gPGVJmEzwdPdkybUu1TYXToJQ1ClYp5N8uifjTrqVuRP3bXSLY7drfSvugcNoHhds9zuzHn7S7zt4bC70569ovUodZ3xQznliznCAL5PFomKqt3vSPHViEK3m6dLIdMrjqlo1zK2f+NV97ov3eL59wdv8Rhkffhg7tZtQ9z4fhZ6ay32k9DLN/s1NRBfXbCl4N3pAu7of0OBj2TKlVOZYcWnm1om+Q/ZdZaStWkH3gAEEvvYTey8vmNp4TJ5C2ahVJr7+O27ChGP3LHoA1v/N8Htz8IOvPrmd8q/L1p1OuEfVmLkY78p/E/WSnT9xPwKtSyj/yf98MPCGlLJW5CCHuBe4FCAgI6Pntt7anGikpMzMTtzJebVVF1i+nuZAYXCrQhgbE4Xpz62o5x7HvUpHSo9RyIdJpPdaTzHhJVmYOpkupWFPzINdAk1tc8GriQ8Jna7nifEvhPlYs5BjTadY/k8CmYZzYtQZ9mgkDOeRY3MlNH4lBXktizLpc3Hy/ZG/IXILdBCFuOoLcdDjqG2Y/LpesC/TZ81dOtrmPi8FjCpdLKTmde5pAYyDuenfbO1uteL/xJobYWK48+wxWn+LJe2X/PzNLMwbR0O/FKsY/8VdaRi/FMfcSuY5+RLecQ1JA2YWVhw4duk9K2auWmljtKhO/on/ejvlSW0xGb4ymFAx+J2h5y03V1qbYVWvJyBxWKn65u20hZIL2pFpvzsI5OxGn7AQMSRexxKeS7eBD5uDJYLWS9c4Kcgggz+BJnoMHeY6eOFijCZvXA6xWjn53FYTtvlJ54goutyYT4hCCq776ptWryZhf11qe+ZyQ2NXsiFiC2Vjxz6hLTsb599/JGj++WG3HktdMn5iE7wsvkNO9O+nz7yrzmFJKVqeupq9bXwKNjWfEakX/P7MXwxp6EvchsE1K+U3+7yeAIdd7ndqrVy+5d6/tJ1Ql1fRd2cEP1rFvTw45Bk+czGn07O1Et/vHXH/Hcjq5K4FNn0UCRZ8QmRhxZ1fC+5b9B5P41Q9c3LKLjOgEcoULuY6epAYEMvmd/8PF3YU3Fr2F4+kuZR4j25DG359ugQjs0vALumZegsivoct0bYh+BVz55BOSXltE0Kuv4DVxYqn1Rf8/y/jlF7J27Sbwn0+XecxHtj6CRPLW0Lcq1JYbRUX+NoUQDTqJK6oi8QtqNoat/NcCkuI6Fr6x8A8+ysQXF5RvZykhLRaZcg7LuaPknT5G3rmzGMJ74zb3WSzx5/hz2qMc7PBgqQ74BfvHeOzmlP8JaJZNu5DWdPXryoDgATR1q3ydwRv6Sdz7A8DNH+YsL7Y425xNXEYcrb0r9/DA1jVLW/MTTh074NhSTa1lS0X/P7MXwxr6Lfxq4C9CiG/RBjSkVbU/XG3rdv8YutkfyV1lBYnazlVnyEzOxc3Hkf4TOlw3gQMImHUbAbNuQ5pM5Bw9StaePegcnXBxd0FKybjlP2Bx30Bax/bszRprc/SXs9mTD168QIjTFkKCLYR0b4PfsInV/TFrh5sf3PRwsUUrTq3gePJx/t7r7ziU6HtYIOfESS69tRj3ETfjOeH6RXpzT58hZelSvKfdVuYIr6ZuTfn6+Nek5KTg7WS7f6Wi1KTSCdtttjazTQjwaobwaoahxUAMQ6HoMze9fwgRPzxP1JNR5DqVfm3rkJdOy+SONMvoC2dAWmKJcj6AfkQCU8Y/RGx6DCvPrKKrX1e6+HUps+ZZo3H3L3D1cqnFG85t4Jntz/DtuG9t9rPNPnSIS28tJujllzAGlu8G1nP8uMKfpcWC0JddO/NE8gl+ufALD3Z7sFzHVzT1OokTQnwDDAGaCCFigX+T/0hJSvkBsA6tvMhptBIjqtiMDeF9A8uVtNkjjEacu3XDuVu3wmXSZMJ3/l1c3b0H3W+/49Spv81AqzdncqTpYVLTW3PhlB9uCfHM1fpMc+Kzj/BsHoJfnwj0rl6Vbl+tSIvV5kttews4aK9upJR8dvQzXAwuZfaF07u54jZsGIH/frZcJUG8pk/j8vvvk7z0S4Kef87udre2upUlx5aw7uw6NbJLufHoDYjATrS5uJBjYTNLvbYNj11Ol/HNSDh2ibgr3iQaWqITw+icdBqAw0uWYNoXx48+y3mhaRLOQV508W7LA32fIsin9BOntdueYXH0ChJ0EPgpPNxyEmOHvFBrH7dWGJ1sDgJafmo5zT2a08GnQ6l10mIhYcFzmC9dQlfB18zSYiHusccwBgQS8OQTZW67L3EfH0R+QP+g/vQI6FGh8zRm9TqJk1LOuM56CZQ7bRdCjAfGt25dPf3NGjOdgwO+8+fjO3++9oc6dB4n2toItCd/oPvgbvwcuI9lsQeZGqyVT7maEsfm3WHIXUYM328nyD2epmEGWgzuhW+nUm/O697hH+CXBfC3w4VJ3J/xf3I27SwvDXipzOTMGBxMyOK3yn0qg7c3HuPHkbZ6Nf6PPmK3A3Fbn7a082nH6jOrVRLXCDTW+NVtQijWH77iTPMJhbUuW51bRbfbwvB88CW8gfaANJvJiDqJa/N+ADhfao6DY3/Cs6Dz4RS8/ogiT0ahCz4HPq35fv0/+CXpD7p6NCc3L4Ozu8/wr98kvulwxQN+HKTNcHHDJHLfzYa2Y6Fb8X9Wo1OjOZB0gEd7PmozjqV89x05x47R9PVFZZY+skXo9eg9PElesgSP8eNw7mh/NP2kNpP4IPIDPj3yqUriKqBeJ3HVTUq5BljTq1eve+q6LTcSodfTzHARceJrzrS89VqgjV5N4OX98NJephuNzOvbB69ntZGzOzOO83mP52hztSM9Mjpw+UogMYcDEM5n8O3UiZyLZzm8eg9Ne7QjoFsHDA7X/lc9+eNKdm4zk2n2ws2QSv8hBsKnTqzZD3lsNTTtXqw+3NfHv8bHyYfRzUfb3OXqgQNc+ehjgl56EYOP7XIM9vjMuYO0H5eR8sMPNLnH/v+ut7a6lf/s+Q+nU05Xuj+L0jA01vjl+eBL9OCfhHz2LOZMicFN4H/nZDwffKnYdsJgwKPztSdJQ56bRffETM7+fpKYQ3nEX+qN3twZv3Ctjp3rj1eZFeVDkmskuQYrXa724mSHa/Fr3N7VbGXZjZHEXTqplRZpPqjUquWnlmMQBpsjQ82XL3Ppzbdw6d8PjzGV66vt//dHydi8mYRn/03z775FGGynHc4GZ2a2n8l7B9/jZMpJwr3tj5pWrmlUSZxSc/wf+RuWZ54l8M9rHa6FkxOBr7yMQ7NmZPyymaw/d+IR2AyALjsSeTtlAJvC0vmuyTdkN8umqS6YcUPfBuDy/r3sPugDBy+jF5sJ8EqhaSs3nIx5/PmnM+b8EbeZZh+2bs4FVtZcIpcaow3NH/7vwkWxGbH8GvMrd3e+22ZfOOvVq1x88kkwmREOtvvKlcWpbThet0/HoVmzMrcb02IMDjoHAlwDytxOURoyzwdfKpW0lWu/ADe6Te1Bt6na/KqZyTnonJyRUpLkMZlznUFvzcM5M4GTIU2ROu2fxIKi6P0Og/xwIKLlUGg5FEL7aSVtGpqoVdr39uOKLZZSsun8JoY0G0IT5yaldrv84UdYc3IIfKZ8XUFs0Xt4EPj0U8Q9+ndSvvoKn7mla6sWmNFuBp8e+ZTPjnzGKwNfqdT5GhuVxCnVomC+vKQ337I5j55Lj+KPx/P27Mdz7VqmArc3D+NKn1bsbqsnNFjryL8yOJGsqUfolRSA41kzFxPd2LfXF2d9HmZZvEq8WTqyc1sW4VNr6MNFrdG+d7g2KEEndExqM4lpbW1P9ZS0aBGmCzGEfvF5hV9BFAhasOC62/g6+zK9XdkFNRVF0ep2ejTREjAhBDNfHEjciVQuRCVzdJu+1FzIVr0jl4Ju5V7zK9x+8BOGbl+MLrQ/3LVe2+DyafBpUWq/eunYagjpAx7FR+0KIfjx1h/JyMuwuZvfww/jNnAAji1bVOn07rfcguvKlSR/sQTvmTMLZ6opydPRk7kd52KxWpBS3ljTCtaQRpXENdY+JbXFc/x4PMePL9fQ6eDXF+H/2N/J2LKFzM2b8Vz+G5OHDkXMyv+jPXiMZezkS52ZoLZBjBw5glHOgfz2bumadwCZZi/YvwR63FG9Hwrg4gHw7wi+rQoXNXVrynMRtgcdZP7+Bylff4PPvHm49ulTpVNbMjPJ/PVXPMeOtbtNriWXVadXEe4dTjf/blU6n1J/qfhVvRxdjLTs7kfL7n4c/dX2tG25jj48+EEOv3T15LNBrXm6+3Q6gFZs+v0IcHCBFoOg5RDtSZ1P1ZKdGpF8VpsucOSLNle7O7jj7lBi9gaTCaTUBmUNKv0KtqKEEAS98ALCaLSbwBVQo1MrpoEX7qoYKeUaKeW9np5qqHl9YAwKwmfWLEI//ZTwHdvxf+IfAOTFxjJ84VaWvKvnk+0dGXPGneUHv2JV5n70xlSbx9IbkuHgN9cW/PSINhDh+DrIKj2kvkImfwTzfir8dU/CHo5cPmJzUykll95+G4fWrfCzMS1NRaUtW8bFvz9G9pGjdrcRCBbvX8zXUV9X+XxK/aXiV81xdbFTL1UIoga9SMTp1jy5+BJ+Dt0AiE47R8a417WBArF7tXjzdjf4831tP1MOZF2plbZflzlHa2f74n3eLmZeZPpP0zl86XCpXZKXfkn0xElYUlPLPPTJXQl88fR2jn5r5Yunt3NyV4LdbY0BARh8fJAWC3nnz5d5XCklf8T9QXJOcpnbKY0siVPqL72HBw4h2tB3g78/zT78AM8xY/A6Gsuoz47xyWIL8zK6kmRcj86SW2r/XAtcvfUr7RerFRKPwY534NsZ8ForWNwN/vzg2g5WS6lj2CUEuGgDE6SUvLr7Vf6949/YKpQthCD0448IefsddCUmB68Mz8mT0bm4kLJ0id1tHPQO3NLiFrbEbLH7WkRRFPsibu+EXl/871mvk7SPCCTXzZ8D3f7GuVtfpkmHbkgp+eqDR7jj93d4s1lrLt23Df6yF8Ysglb5cyef2QyvtYQPBsKmZ+HMlmtTxR36Ht7sBAu8tO+Hvq/ZD+ffHmZ8Dd7Niy1eeXolUVei8HUuXhrKlJDApXffxSE01O7IeNASuK1fHSczWYvHmcm5bP3qeJmJHEDCggWcnz0HS4b9WBWTEcMDvzzAV1Fflf3ZFJXEKfWPzsEBt8GDCXrhedr89ithX3+N77y5BPYawJA/ttPuxNc45lwBKXHMuUJIzC94pl3GoeAJhU4H8zfAU7Fw53oY8TwEdNRqJAFkJsErzeDzcfDLc3Di59J3zYWB1hNeCSkMtPsS93Ey5SQz280s1V8j5+RJpMmE3suryn1ICujd3fGcNIm0dT9jvnTJ7nYTWk0g15LLhnMbquW8itKYhPcNZNgdHXHz0W683HwcGTa3I8Pu6MCsF/rTf1IrQkf2QgiBzM1j7CbBS+9n4PnC/7j3vyNZcPIrzrcbCX75Iyr928PQf4GjB+z8LyydBK+Gwc73tLl/02IAqX1f81DNJXLZKZB6odRii9XCitMriGgaUWp2i8RXF4LFQsC//lnmoXeuOoM5z1psmTnPys5VZ8rcz2vadMxXrpD0xht2twn1CGVY6DC+Pf4tWaYsu9spjaxPnNLwCL0elx7dcenRHYAm6SDS9xKYVHzaIQtg1d1N7lUr5w5dJrxvIMLoDGH9ta+irGboPgtidsP2xSDzn8pN/Qw6TYY9n8KGJ8Gc/8QvN0MLtMDXyX/i4eDBmJbFh9ubkpK4MOcO3EeOJOiF56v1GnjPnkXKV1+R8u13+P31Lza36dSkEy08W7D6zGqm1tgID0W5cRUURdf69F6bY9booKfHqLDC308fTmFXp3/Q0v0SPbe+R/9Pkjjw249EPuxH2M0PYpVWdD4tYfDj2ldeFpzfCRd2aq9bC57IFTBlw6oH4fRmmPyhtuzUJshOBVdfcGkCrk2074YKjHQ/9D2sexxyUsE9SLuZ7aINxNpxcQcJWQk83uvxYrtk/rGdjPXr8Xv4ocI3I/YUPIEr7/ICzp07aTFt6Zd43norLt2729zurk53sfnCZn48+SNzO9of0drYqSROaVDM/l4Yk1JLL/d0xkHvwK4tZ9j703lORV3kltnd0RttPGz2aApjXtN+zruqDVyI3Q0hvbVlW56/lsAVMGWTsOV5tvgYmNNhDs6Ga2UGpJTE/+tfWHNz8bmzYpOGnNyVkD8lmpXzG7fTf0KrUrNrOLZogevgQeSesX+HK4RgQqsJbI3ZSo45ByeDU4XaoShK+TRt7U27iCCitsO5vs/R1juJLpv+S2hTbQDAd5FL2Ri/lbs6z2dA8ACEgyu0uVn7+v112we15MHVIm8DdrwNZ38rvk2TtvCX3drPPz0C6fHFk7wm4RA+Slu/+2PY+AyY8xPGjPjCG1G6TGP5qeV4O3oztNnQYqdI/fFHHMLC8Jk//7rXwdHFQO5Vc6nlLp7XTzT9HnqYjI2bSHj237RYvszmYIcufl3oHdibJceWMLPdTIz6sgdENFaNKolTo7savrDHnyb2X/9El2sqXCYFBE3TZixw6XOVyIObYddw3o1ew+QH+9AsMMj+AR1coPlN2leB7FSbm57OvYy7Qxumty1e0iP1+x/I+u13Av71rwq9Ri3oU1LwSqKgTwlQKpELWbwYnVPZidmdne5kfufrB1+lYVLxq35w83Zk6Kx2dBvejF2rz3J0v5WAW1+jU4fOALR8fz1Tzh7l4757eKtXW+7sfBejm4/GoDNoU16lxZQ+qGczmP3jtd+nLYHMS9o8p1mXte9Fbhyx5GlTAcYf1NZbTdro2IIk7ucnrr1hKGDKhs3a07jhYcPp37R/qcQo+PVFmBMS0F2ntuWx7RfJvWpGCCjZNTgv28ylCxn4hbrb3hltKsLAZ58haeF/MCUm2n3qN7/TfJ7d8Szn08+rYuZ2NKokrrFWPL+RFK1HZ46PxxAUhN9Df8Vr4kQAgjce4tnhw1hy7hguv7fi25d2YRyXyP3D55b/6ZSdQDvAoQlbbttSLPDlXbhA4sKFuEb0x3tmmbPElVJWn5KSSVxBAmdOTkbv7W2zfpJOaE8d03LTcHdwL/xduTGo+FW/eAe6MvreTiSeS8eUoz2RMuVZMHaYTvjJd3jqh4vEbY/mm35PsOXmzbwx7E0Y/ixrf3mcxR4uJBj0BJotPJx+lbHDny1+cGdv7Qs7sxZMeO/az1JCbnrxtwclE7gCaVoplXEtixf9NSUmoXN0QO/lhTE4uMzPfXJPAlu/PE6zDj6E9wpg10/RZCbn4ubjSNdhIRzaEkfcyZQykzgA92HDcBswoMxi6BFNI1g/eb16CleGRpXEKTeGgnp0JVlzckhesgRTbCx3z7+LxAdD2fhtFDtTf+evursByldAcviz2quHIn1XLju64DvsmVLBxJqdg1PbtgS99BJCV/6kSVplhfuUZP35JxfuuZewLz4vVTy5wL7Efdyz8R4+HPEhvQN7l7s9iqJUTkDza7UrT+1OZGeUBz5DXqKzfxJhK97jseUXyPNxh2HwrYOV3xPc+de3FnzTLdocrUM8wc0V+5Ugr0MIcCpRdsazmc0bUekZwrKTPzI8dDjeTt7aMilJePZZck+fptX6n8us4xZ98BK/fBZF09Ze3HJ/Z4wOetpFBBXrR9j+pmAcnbXUwpxnweBgvxiycHDAevUqaatX4zV9eqnYLITAqDey6vQq3t7/NpeyLxHoGsjDPR5mbMtKX7EbirpVV24YOicnWixfhteUyVz5+H+4PvkUD9zeni+m/A+Bjj2/nGHyiiksPbaUXBtlSgp1mQbj39YCIQLp2Yy/tO7MQ1f+KLWpU9twwr7+CmNQGa9si7BarJzYlcC3L+62u03BCLmSnLt0QefsTPKSpXb37eDbAQe9A6tOrypXexRFqT7tI4IYdU8nLBbJr5FuHLr5JQxPv0GHOVoB2/Nv/of7frLgl6794+uXDneuM/HHpy9Xb0OGP1t6ejCjM/v7zuO5nc/xa+yvhYszt2wh89df8Z4167qFeA1GHU1bezL2wS4Y7SRnBQnc5dhMlj6zkwtHy66Xl/7zzyQseI70NWtsrl8bvZZntz9LUnYSEkl8VjwLdixgbfTaMo/bWKgkTrmh6N3cCHrhBZp9+AGW1FTOz56DISObmGPJ7P7xPP32TeOd7e8zdvlYfjz5IyaryfaBukyDR47AglQOzf6Ko1fjiWgaUbg658QJ4hcswJKZVaGpYY7+fpFfPjsGQKfBTTGUGHihN+joP6GVrV3RubjgddtUMjZtwhQfb3MbZ4MzI8NGsun8Jq6arpa7XYqiVJ3QCVr39GfGv/syeGZb0q/kcORSAAZ/fwBG7MjGWLwHBU5muGVjNRe1LXEjimczGP82y60puBpdGRk2EtDmeE586WUc27TGZ85su4fLydTiZGhHXyY80h0Hp+u/xHP1dMDFw4G17x8i+qD98kiekybh3LUria+8ijklpdT6xfsXY6X4Rcux5LB4/+LrtqExUEmcckNyGzyYlmtWE/z6Igze3oR18mX4bSF4pQdy98mXaJXbied2PsfElRNJy00r81jfHP8GV6Mrt7a6FQBrXh4X//EEGb9sRpryytw3L8fMgU0XiD6gBbG2/QIZ83+duf1ffRg8ox1DZ7crfPImBDi5G2nV09/u8XxmzgQpSfna/uwMt7a6lavmq2y+sLnMtimKUjP0eh2dBgUz+4X+DJ/XHiEEWam5nGs5iwvBQ9je73m2DH6X7f2eJ8G/F03Stf1iMmwMeqisIjeiPHKE9Haj2XhuI2NajMHF6ALA5Q8+xHTxIoH//rfdp3AJZ9NY+sxOTu1NBCj3TauzuwMT/tadJiHurP/oSOH+JQmdjsDnn8eSkUHSa4tKnz/LdvFge8sbm0aVxAkhxgshPkpLK/sfbeXGoPfywn3YMAAytmyFv01lWOvzODk40u3PCbwY8DYDggfg6aj1JzmdcrrULAyXsy+z4dwGJraeiKvRVVv2zrvknjhB0AvPY/D2tnnunCwTu386y5J/7mDHstOcP6a9UnBwMtCiqx9CpwXC8L6BzH35JjreruOW+zuTlZLL/g32p6QxBgfjPnw4qT8u0+Y3tKFHQA+C3YJZdUa9Ur2RqPjV8Bgd9Hj4aq81E8+mEx/Qh9Otp5Lr5AtCkOvky/G2M7nYejDRadGMXT6W+zbdx56EPTZnhKmKn6N/JseSw5Q2UwCtL1xezAU8J0zApVcvm/tcisngp3cicXI1ENTKq8LndHI1MuHhbgS29GDTJ0eJOW77iaNT23B877yTtOXLydpVvKtJoGugzX0CXQPJs+QxceVEFuxYwM9nf+ZKdj2Z6qwWNaqBDWp0V+Pl3LULbkOGkPH+q/Tr3pfjPe6jb9uOTGih1UmKz4xn2k/TaO/Tnod6PMTl7Mss3r+Y+CzttWWgixZIru7fz5VPPsHrtqm4Dx1q81yHtsbw58poTLkWmndpQs/RYQS2vP58ly26+tGmdwB7156jRdcmNAmxPbrL79FHypxIWid0PBfxnN3gpzRMKn41bC27++HsoiM7p/iTLKvekdg2U+my7SBvHOvOIqK46+JddPHrwj2d72FQyKBqGWl+OvU07Xza0cG3A6A9UQt5801knu23CcnxWaxefBCjo54Jf+uOm3flphF0cDYw/qFuHNh4gaatvexu1+TBBzAlJmDw8yu2/OEeD7NgxwJyLDmFy5z0Tjzc42HSctMI8whj47mNLDu1DIA23m14rOdjRARH0Bg0qiROabwMvr4Ev72Y9J9+IuGFFwmPegCHsKegxTSO/BZHWFdv/tn3n7wf+T53b7wbHbpi/TDeO/gefs5NaP/ipxiDgvB/4slix0+/nI2TqxEHZwPObg6FyZtvsFuF2jloejixx5M5vS/JbhLn2OL6tej6BvWt0HkVRal52Tm2k7GsbB2cPkvwqt28/Ycv52aM4U2Xgzz262NsmLKh1PymlfHPfv8kx5yjvdrdtRtjgD8OzZvbLPGRk2Vi1VsHEDrBhL91x6OJs40jlp/RQU+fcVrcys7M49yhK7SPKD4YTOfkRPB//lNq34JRqIv3LyYhK6HU6NTFwxZjsVqISo7iz/g/2RW/CzcHLe5uj9vO+5Hv0zeoL/2C+tHVrysO+grMetEAqCROaTSEEHiOH49Ln77EP/sMwuhARnIO2384xb6fjdxy/wjGTR7HsO+HkZ6XXmzfHEsOiw+8zU9vf4olNQ29m/ZqNfliFvs2nOPUniT63tqCnqOb06Z3AG16B1SqjU5uRqb/qw+unmXf9ZoSk0h49ll87pyHa79+Nrc5kHSAn8/+zFN9nqrQ4AtFUWqGm4+jzRJCLp4OpAyYRdiIESS98irN3l3Nex3ak/XQvfg6+yKl5Kk/nqKHfw8mtJ6Ao75iT8Wyzdk4G5xxMjhhyczk4mOPYQwJofk3tvvWOrka6TEyjJB23ngFuFTqs9oT+UsM+9afJys1l15jmpdab75yhcSXXqbJA/+HY35h67Etx5ZZUkSv09OpSSc6NenE3Z3vLlxukRaklPzv8P/46NBHOOmd6O7fnf8M+g9eTl7FjrE2eq3dRLE+U0mc0ugYA/xp9sEHgJbYjeiRyq8HXVn+2n6GzG5LRl5GqX180iUJMl6rLB4SQtL5dPb9fJ7og5cwOOjoMjSEtn3LV2bkegoSuJQEbeJn70DXUtvovTzJPnyY5C+W2E3izqad5Zvj3zC25Vi6+nWtlrYpilJ5/Se0KjZLC4DBQYdXoAu/fHaMFl2bMOj9T7H8sZmkRYsIy9WexmeaMrmQfoG10Wt5P/J97uhwB9PaTivsp1uWbHM2I38cyb1d7mVOhzlcfucdzJcvE/Leu6W2zUrL5Wp6Hn7N3Ok6vFn1ffAi+oxvQWZKLrtWR2POs9B3QstSN5lZ27djSkwkbOmSCtXfLGlQyCAGhQwiIy+DvQl72ZWwi6grUXg4arX93tj3BjHpMbgaXVl/bn1h6amCMiZAtSdyBclifFY8QT8GVTlZVEmc0igVBA0pJcY9m+jx+26iIh5l8+dWhoXdzuam3xRu65otefkLC5Fd3GCetmznijNcupBBrzHN6TIsBGe36n1Eb7FYWf32QZzdHJj6RE90+uKBTOfoiPft07n8/gfkXbiAQ2hoqWOMDBvJK7teYfXp1SqJU5R6oGAmFm2+ZG2Wg/4TWtG6dwCRm2PYtTqab5/fzcDpPWn987rCmVrylv7AW5n9ODv+fv53eilv7HuDjw9/zPs3v3/dv+1N5zeRmptKO5925Jw4QfKXX+E1bRrOXboU2y4n08TqxQfJvWpm9gv9MBjtF+mtCp1ex/C57dE76Ni3/jymPAsDbmtTGJMNvr74/+MfxP/zn6T++CPe06ZV+ZzuDu4MDR3K0NDi/ZgNwsDRK0cL+z4XlWPJ4cU/X+RkykkMOgMGnQGjzkhrr9YMaTYEgNVnVmOV1mvrhZEQ9xDa+rQFYH/ifvQ6vbZeGNgRt4P3It+r1mRRJXFKoyaEIOTdd3D95huMr7/O6eYTCGnRBNeDvQhLHYPJwQeH3GQu++/HqekAMpJzcPdxYujsdoV94GqCXq/jpilt2PDxEQ5sukDP0c1LbeN1++1c/vh/JH/5JYFPP11qvZuDG8NCh/HzuZ95os8TN1xfEEVpiML7BpaaVg+g+4hQmnf2ZcuS4/zy2THk3Pa066893c87d5bUH37EZ3kAi/7+KDG3/JVvTn5HuLc2LdfBpIMEugbaHMy07OQyQt1D6enXgwuPzEHv4YH/I38rtk1utpnVbx8kLSmbcX/pUmMJXAGhEwyZ2RajUc+5w5fpPbYFTq7XBmp5Tp5E2qpVJC16HfehQ0sNdqguD/V4iL92/ytdl3RFUno0cKYpk6XHlmK2mgvXj2kxpjCJe/HPF8k2ZxfbZ2r4VP7d/99YpZW56+detw0FNe9UElcOagJpxRah0+EzaxZuAwbg8tTTnF2rI6TtLEyOWtKT5+RLbOgIHNKsZFzRkriqdvQtj9Y9/Tm9z4/dP52lRRc/fJoWf3Vi9PfHY/Ro0pYtx++hh9C7lR5EMaHVBNadXce2mG2MbD6yxtus1BwVv2583oGuTHqsB8d3xtOml9avNistl8Dnn8dz0iQSX3qZi/94AteuXXjmuedwMjgjpWTBjgWczzjP+JbjuavTXTT3bM7a6LW8vvd1LmVfwt3ozs+nf6JXly54TZ+G3sur8Jx5OWZ+eieSK3GZ3HJ/Z0La+dTKZxVCcNNtrek1tjlOrkasFu0Vs06vQwhB4IIFnJ0wgUtvv03QCy/UaDsCXQNtPo0Lcg1i49SNAFisFszSXGz96omrMVvNhV8mq6mwZJVA8NGIj66tl2Ye3faozTZUpeZdo0ri1BB9pSwOYWGELV3C5ntWYrXx1Ep3NYOmbbxqtU2Dbm9L3IlUNi+JYsrjPUq9VvW9cx6OrVra3b9vUF+6+XWzPzOF0mCo+NU46HSCDjc1BbQE68eFe2kS4s6QmR1p/sP3pK1cxaW33kKatUnuhRD89+b/8vnRz1l+ajkrT6+ko29HTqWeKnxtl2HKYMGeF1kwfUGpJz4HNl4g8Wwao+7pRPPOTWr1swohcHI1IqVk85IoLCYrI+7qiN6gw7FlC4LfehPn7t1rvB1llTEpoNfp0VP8CWVZZZyEEPRv2r/YsiDXIJvJYlXKQTWqYr+Kcj1CryfH6GVzXY7Bw+bymuTi4cCgGeEEtfZEWkuvd+rQgSb332/zKRxogWfpmKUNYpSVoijFGRz0dBseSmxUMt88v4sTuxPxnDSR1r9swrlTRwASXnwJh6WreLLro6yfsp75nedz9MrRYvNDT9hppcXZbJtTVfUa05xb/9adVj3szxRT04QQ+DVz58z+S6z/6Ahmk5agug8fjsHHh9RVqzg1dBhR7Ttwathw0uzMs1pZY1uOZUHEAoJcgxAIglyDWBBROuGtqod7PIyT3qnYspLJYkWpJE5RSnAy266Ib295TWvTK4ABU9ugN9r+c5VmM+nr1nF13z6b69dGr2XkjyPp8kUXRv44Uk0crSgNhE4n6Dq8GdP/1Qefpq5s/jyKdf89hMmqxQJpsWC+fJlLi98mesxYHH7dy0PdHyp2jFYXJTO2Welz0lr42s5qsbJz5RmyM/LQG3SEtLU980xt6nZzKINnhHPu0GXtM+ZpiVzKihXEP/kU5vh4kBLzxYvEP/NsjSRyG6du5NDcQ2ycurFGbnyLJotAtSSLKolTlBJ69nZCZylexVxnyaNnbyc7e9SOi6dT2fjJUazWEh1wpSRx4X+4/N57pfZZG72WBTsWEJ8Vj0QWjoZSiZyiNBxeAS5MerQHA25rA2jFc0F7cxDy1puEfvEFOnd34v72COfnzKFzti83HbXw3ntmXv7CghRwoYn22k5aJVuWHGf/+vOcO1y/pqnqNDiE4XPbE3s8hQ0fHQG0aQ4pMQWZzMkh6c23qvXcaWvWcGrY8Bp72ldgwFEr7/3XwnevmHnvvxYGHLXxiqUCGlWfOEUpj273j4EP1rFvTyo5Bk+czGn07O2kLa9Dmck5nNqTiF+oO91HXCspIoxGvGfM4NJbb5F76hSObdoUrlu8f3Gxfh5Q9dFQiqLUPpH/VK7LsBCEEGSm5LJ92SlumtIGt759aLF8Gak//MiVjz/mvpx+ePy8Esf8rrB6CXf9IknpOIBfvznBiV0J9L21RalZE+qDdv2D0Bt1uLhr/ZLN8aX7kBVdfv6OueRGR6P38EDv6YnewwOnTp3w++tfAEhb8xPSbEbv6YHewwOdhweGJk0w+FwbwJG2Zg3xzzyLzNFiZcHTPgDP8eOr7bMVPY+opvOoJE5RbOh2/xi63V/XrSiuTe8ATu9LYtfqaFp0aVKskrrX9Glcfv99kpd+SdDzzxUutzfqqSqjoRRFqTsF9dQuxWRwLvIyF44mM+C2NrTrH4j37dPxmjoFOXIU5hJjmRxMkLXRwHmfi/QYFUbPW5rXfuPLqWBkLsCl8JvJTc/mfNhIch19cMxNplX0akIMFwFwGzIEh7BQLGnpWNLTMV1KQh8be23/t97CFBdX7Phuw4bR7L/am4voCRPJPXMGzMVHnhY87cs+GKkt0OsQOj3CoMe5R0/chw1Fms1c+fhj0OkReh3oDQi9DqfOnXHp3h1rbi7pP/0Eej1Cryfx5ZcLE8WS51FJnKLc4IQQDJ7Zlm+e28WWJVFM/HsPdLr8Apne3niMH0fa6tX4P/pIYQkBe0PnKzptj6Io9UuLLk2Y/kwftiyJYsuSKE7vS2Lo7La4eTvZfHplNjiT5NSSLkND6Dex9CwJ9VFWai5Hmk5ABkoQWu+vXCdfjredhXdP7TWk7113lnmMFsuXYUlLy0/y0rCmp6P3vvYUzqVnT3JPnCDBvxdnWt5aLFEMjN9H+oYNSJMJLBak1QoWC95mi5bEmUxcWvx2qXP6/t/9WhKXkUH8P/9VbJ2981SWSuIUpQFx9XRk4LQ2/PJ5FKf2JNK2SNFQnzl3kL1vP3lxcTjnJ3G2hs476h15vPfjAESnRXMl+wq9A3vX6udQFKXqvPy1vnKHf41l54oz7Fl3jqGz2mEICsJ88WLhdhIwmrPpd3Ep7W+b3iASOABXL0ec3BzIzij+WNGqdyDygiPNLmaCBL1Bh84g0Bt0GB31ODhdS230np7oPT3tniPw2Wc4sS+J4/5jsObf3GqJ4kx03l4MXvWO3X2FkxPtDh8qTO6k1QpmM8JBexWs9/am9eZfCtfvfPA1jjcdZ/M87St5jRpVEqeKZSo3gvC+gRgc9bToWryKuVPbcFquW1ssQBf0e7M3sfMHkR/w89mfmRo+lUd6PoKHQ+2XUVHKR8UvxRahE3QZ2oywTr44umizHjje8whnP1/PhaDB5Dr6oLPk0fbsMno+PAGhaxgJXIGSCVyBzORc1r53iIwrxV9PtujahDH/p00p9tk//iAv24zeqEOn15K81r0CuGmK9je04vX9ACQET8RqLX5drHpHjodMxPzFMRACIbS3IWEdfWnZ3Y+8HDM7V5zR4q3g2vrOvjRr50JOlon9G84j8vdFwIkWk7GaS5/nbMsJDK7k9WlUSZwqlqncCIQQtOqu1XTKzszDycVYGJiFEFivXsV8+XLhfKpjW461O4jhuYjnCHAJYMmxJfwa8yv/7PtPhocNr50PolSIil9KWTz9rvWR/S3Kl7QWkwAtLlgNjpxsO4MQ/47YfyZVP7n5OJKZnGtz+ZBZbcnLtmAxW7GYrVjNVtx8rlUR6DwkuNh6i0Xi5X9tth2DUYfZZC2VwBUwWwSxJ1JAagNkpZR4NHEC/LCaJaf3JmnTcRVZ7+rlSLN2PuRlmzm0JVZbb9XWSWn7PFnZlS8U0qiSOEW5kaRfzuaHV/bSe1xzugxtVrj8/Jw7EE5ONP/qy+sew9ngzN97/Z3RLUbz7+3/5m/b/saLN73IhNYTarLpiqLUIHOuhYIEroDFKti56ozNeVvrs/4TWrH1q+OY866V4jA46Og/oRWhHXzL3LfXmBZlrh//UDcAvnh6u91Ece7LN9nc18nNyPzXB9o9tkcTZ+5/d0ixZWWdp7JUnThFaaDcfZ3wb+7BzhVnSLt0bRJmj/HjyN63j+yjR8t9rI6+Hflm3Dc82efJwjlWk64mIWXpSaEVRanfstLybC63lUDUd+F9Axk6q11houPm48jQWe2qNRntP6EVBofi6VBBolidauI8KolTlAZKCMGQWW3R6QRbl0Yh84sAe02Zgs7FhZQlSyt0PKPOyKz2s3A2OJNjzmHe+nnM3zif8+nna6L5iqLUEHtPdqryxKcuhfcNZO7LN/HgB8OY+/JN1f40sTYSxZo6j0riFKUBc/dx4qbb2hB3MpUjv2m1kPTu7nhOmkT6unWYL1+u1HEd9A7c1ekujl85zpTVU/jk8CeYrLY7GCuKUr/U1pOlG0lNJ4olz9Pxdl21nKdeJHFCiNFCiBNCiNNCiCdtrL9fCHFYCHFQCPGHEKJD/vIRQoh9+ev2CSGG1X7rFaVutY8IolkHH5IuZBQu8549C2kykbF5S6WOqRM6poZPZeXElQwIHsBb+99i1tpZXM6uXFKoKErtqa0nS0rdq/OBDUIIPfAeMAKIBfYIIVZLKY8V2exrKeUH+dvfCrwBjAYuA+OllBeFEJ2ADUBwrX4ARaljQgjG3N8ZQ/58igCOLVrQct06HFuW3bH3evxd/Hlr6Fv8cv4X1p1dh4+TViRTStlgak0pSmMU3jdQJW2NQH14EtcHOC2ljJZS5gHfAsWGxkkp04v86opWuxAp5QEpZUFFw6OAsxCiYb70V5QqKEjgUhKyiD54CaAwgZPWqk2wDHBz2M28MeQNdELH5ezLzFo3i13xu6p8XEVRFOX/27v34KjKNI/j36e7k05IIBgghIs6guIAggosoLheZpWVRWQc0fWyo+7qIuW4hZcqy3UctWaYdd1Za2RG1hlGpnC31tvguAODt6lS1tt4G0pcISAXb4GQdgyGBElI0+/+0U1IQneSk+6m+6R/n6oUnPe857xvP3Xy1JNz+pzTdzk/E0f8zNnnHZZrgRldO5nZ94DbgGIg2WXTS4H1zrmkt9+Y2UJgIcDw4cNZt25drybX3Nzc674Sp5h5l6mYffpqjK8jMHaOUVxmlK19juKaTey5/fb40ygzoPZALbu/2s0NL93AzLKZXHLMJQwIDuh5wwwrpOOsr/kLCitOmaB4eaeYeZepmOVDEdcrzrllwDIzuwq4G7j20Dozmwg8AMzuZvvlwHKAadOmuXPPPbdX465bt47e9pU4xcy7TMVs7yn7eeJH77B/6yAuWHwaX9XVsXvNGqZXVDBgypT0J5qwILqARzY8wmMbH2Prwa3cNeMu2mJtKd8MkUlrd6xl6fql1O2rY0TLiKyNk0/6mr9Av49eKV7eKWbeZSpm+XA5dSdwbIfl0Ym2VJ4Evn1owcxGA88C1zjntnc3kJnNM7PljY2NfZ+tSB4bNLSUMy8ZS+3mPWx6fRcV8+cTGDSIBo+PG+lJSaiEW6feyhNzn6BqQBUrN67kvjfvo25fHQ5H3b467nvzPtbuWJvRcdfuWNs+DpC1cfKR8peIdJUPZ+LeBU4ysxOIF29XAFd17GBmJznntiYW5wJbE+2DgbXAnc65N3oaSK+tkUJwytmj2L4+whvPbOO4iTMoPf10ml54gZrxLxIaMYKqW2+hYt68jIw1fsh4Hp/7OHOemUPLwc7vMGw52MKSt5bw6d5PuWHSDRQHi3lz15ts+GIDAJZ4orxhLJy8EDPjtdrX2NywOd6euPxbFCji2onxE+8PvPNA0nGWrl9aCGfjlL9EpJOcF3HOuaiZ3Uz8ztIg8Gvn3EYz+yHwnnNuNXCzmZ0PtAF7OHwp9WbgROAeM7sn0TbbORc5up9CJH9YwDjvu+PZ+NpODrz6B75+6634CueI7tpF3Q/ivyqZKuRCgRD1X9cnXdfc1swjGx7hmgnXxIu4nW/y2KbHjui3cPJCAF7+/GVWfbSq07rSUGl7EbendU/ScXbv253ORxAR8aWcF3EAzrnngOe6tN3T4f+LU2y3BFiS3dmJ+E/FsFLO/M6JbP3WjcRaWzu9RdG1tBD5yb8z8IILCJSUpNyHF9Vl1e2XODsaUTaClxa81P76rtum3cZt025rX3Z0fq3X92d8n7um39Xe7nCdXv1VXVadtGCrLtOjFESk8OTDd+JEJEsamkK8N/UOWsKDO7VHIxG2nHY6W2bMZMe8i2lK3CXVVh9hz1NP07RuHS01NUQbGnr1/tTFUxZzXk2QZcuiPHl/lGXLopxXE2TxlPjfX4cujQYsQMACBANBgoEgoUCIUCDUvj4UCFEULKI4WExxsJhwMExJ6HChecuUWygJdi48S4Il7eOIiBSSvDgTJyLZUVI5kKayUbw1/V5igSLCrQ2M3bGakQe2MeS664hG6mmrjxAcOBCAlppN7L733k77sKIijv3VcspmzmT/hxvZu2YNoepqioZXERo+nNDw4cz6IMo3no8RSDzgZ9heuPH5GKNnxWBM5j7Poe+9td+dWlYYd6eKiCSjIk6kH3OX/AO2HmLBYgBaS4aw+eSrOWZqjKGL/uaI/uVnncWJr7xMtD5e3MX/3U3R6PgN5Ac+/pg9Tz2Fa+l8c0Fw2DACrZ3frRpobWP3kh8TKCunbNaZBMKZeQ733DFzmTtmrh5rICIFT0WcSD+24bMKXKDz869jwWI2fBZmxMd7KR1URPngMIFg/JsVFgpRNGIERSNGUJpkfxXzLmLQRXOJ7d1LW3090foI0Ug9dXf/IOn4scZGam+6iXHvvA3hMJGlS2lc9Qyhqqr4z7BhhKqqGLroRiwUoi0SwQIBgpWVWCD5tz0a16wh8tOHqNq1i60jR2b0blsRET9RESfSjzU3JH2BCc0NrTz74HoORmOYQdngMAMrSzh5ZjUT/3IUzjk+/fBLBlaWMLCyhOLSw6nCzAhWVBCsqIBx4wD4Ytl/UBsdyfYxF9Marmy/bDvaPmf0wz8nkLhcWzJ+PNFzziYaidBWV8f+DRtwLS0M/d5N8f08+CCNv1sNoRChoUMJVVVRfPzxjPrJvwFQ/9BDbFq9ge3HLaL1pMQ4Dz3LFDJ3t62IiF+oiBPpx8orw0kLufLKMN/6u/E0NbTQ1NBCc+Lfg9H4e1b3N7WxdtkH7f2LS0MMrAxz+uzjOXlGNQdaonzyf39mYGUpAyvDNF12O5vXB5Jeti2dNKl9P4Nmz2bQ7M4vVnHRaPuNDYMvv5ySyZOJRr4gGokQjUSINTW19920egObx15OLBg+PM6Yywg8+hznqIgTkQKjIk6kHztj/lhe+e/NRA/E2ttCxQHOmD+WYydUptwuPCDEpXdMPVzkfdlC055WisJBAL6q/5o/rNjUYYuS+FMeO4gFi3l7U4Av/7OGgIEFA0w6dxRDRpbz5c5mtry1GwsYFog/2y4QML55xkQqp06lYdc+6moaEu2w97WdWMDYftxF7QXc4XHCbD3mbM5JO1oiIv6iIk6kHxs3I/78tD/+bjvNDa2UV4Y5Y/7Y9vZUgqEA1WMqqB5TkXT9kJHlXHHPdJobWmlqaOF/H9+StF/0QIzamgZiMYeLOU6cWgVA4xf7+WBdLS7RfugpJqO/WcnAyhLqP2nk9d9sPXKHXR6VckhrOHVBKiLSX6mIE+nnxs2o7rFo8ypYFGDIyHKGjCwH4E8vfJLysu21/zLriPYxpw1j0c/PbV92Ll7MHbqsOm56NSecOgznHLGDDheDWCzGMz96g69b7Ij9lQ3o+Vl2IiL9jR72KyJpO2P+WELFndPJocu2vWFmBIIBLBAv0IKhACVlRZSWF1NWEab8mDCDhpQy68pTCAY7F2zBoOPMK07JzAcREfERnYkTkbT19bJtvo4jIuIHKuJEJCOycdm2u3HiD/s98lKtiEihKKjLqWY2z8yWNzY25noqIiKeKH+JSFcFVcQ559Y45xZWVCS/405EJF8pf4lIVwVVxImIiIj0FyriRERERHxIRZyIiIiID6mIExEREfEhFXEiIiIiPqQiTkRERMSHVMSJiIiI+JCKOBEREREfUhEnIiIi4kMq4kRERER8SEWciIiIiA+piBMRERHxIRVxIiIiIj6kIk5ERETEh1TEiYiIiPiQijgRERERH1IRJyIiIuJDKuJEREREfEhFnIiIiIgPqYgTERER8SEVcSIiIiI+pCJORERExIfyuogzswvNbIuZbTOzO5OsP9vM1ptZ1MwW5GKOIiIiIrmQt0WcmQWBZcAcYAJwpZlN6NLtM+A64PGjOzsRERGR3ArlegLdmA5sc87tADCzJ4H5wKZDHZxznyTWxXIxQREREZFcyecibhTweYflWmBGX3dmZguBhYnFZjPb0mF1BdCYYnko8Oe+jtuDruNmcrue+qRan6y9p7au6xWz7o+pZMuKWXZjdnwv++WlNPIX5N+x1dttuuuXyfzVdTmb8Uo1n0xt0x9jls381VO/fIpZ8hzmnMvLH2AB8GiH5e8CD6fouxJYkMZYy1MtA+9l8TMuz9Z2PfVJtT5Ze09tSeKnmHVzTClm+R8zP/347djq7Tbd9ctk/uq6nO3jSjHLfrwKKWZ5+504YCdwbIfl0Ym2bFjTw3K29HWc3mzXU59U65O199R2tOKVzli5jlmujrF0xirkmPmJ346t3m7TXb9M5q+exso0xcybbOavnvrlfcwsURHmHTMLAR8Bf0W8eHsXuMo5tzFJ35XA751zq7Iwj/ecc9Myvd/+TDHzTjHzTjHrHcXJG8XLO8XMu0zFLG/PxDnnosDNwItADfC0c26jmf3QzC4GMLO/MLNa4DLgl2Z2RIGXAcuzsM/+TjHzTjHzTjHrHcXJG8XLO8XMu4zELG/PxImIiIhIanl7Jk5EREREUlMRJyIiIuJDKuJEREREfEhFnIiIiIgPqYhLg5l928x+ZWZPmdnsXM/HD8xsjJmtMLOMPw6mvzCzMjN7LHFsXZ3r+fiBjivvlL+803HWO8ph3vX12CrYIs7Mfm1mETP7sEv7hWa2xcy2mdmd3e3DOfc/zrl/BBYBf5vN+eaDDMVsh3Pu+uzONP94jN13gFWJY+vioz7ZPOElZoV2XCl/eaf8lR7lMO+ORg4r2CKO+Ku6LuzYYGZBYBkwB5gAXGlmE8xskpn9vstPVYdN705s19+tJHMxKzQr6WXsiL+d5NB7gw8exTnmm5X0PmaFZiXKX16tRPkrHStRDvNqJVnOYaF0ZudnzrlXzewbXZqnA9ucczsAzOxJYL5z7n7goq77MDMD/hV43jm3PstTzrlMxKxQeYkdUEs8Cb5PAf+h5TFmm47y9HJK+cs75a/0KId5dzRyWMEGN4VRHP7rAeIH4qhu+v8TcD6wwMwWZXNiecxTzMxsiJn9AjjdzP4525PLc6li91vgUjN7BL0vtKukMdNxBSh/9YXyV3qUw7zLaA4r2DNxmeCc+xnws1zPw0+cc18S/w6OpOCc2wf8fa7n4Sc6rrxT/vJOx1nvKId519djS2fiOtsJHNtheXSiTVJTzPpOsfNOMUtNsfFOMUuP4uddRmOmIq6zd4GTzOwEMysGrgBW53hO+U4x6zvFzjvFLDXFxjvFLD2Kn3cZjVnBFnFm9gTwR+BkM6s1s+udc1HgZuBFoAZ42jm3MZfzzCeKWd8pdt4pZqkpNt4pZulR/Lw7GjEz51xmZisiIiIiR03BnokTERER8TMVcSIiIiI+pCJORERExIdUxImIiIj4kIo4ERERER9SESciIiLiQyriRERERHxIRZyIiIiID6mIk4JjZr8ws1m5noeIiFfKX9KR3tggBcfM3gemOucO5nouIiJeKH9JRzoTJ75nZr81syVm9qqZfWZm53fTdzzwkXPuoJn9xsweNrPXzexTMzvLzP7LzD4ysxVH8SOISIFS/pJ0qIiT/mAS8JVz7mxgMXB1N33nAC902G6Hc+4s4JfACuAOYAIw18zC2ZuyiAig/CVpUBEnvmZmA4AK4KeJpiLgKzMbY2YrzGxVl03+GnjBzEqAwcBDiXYHrHDO1TnnosBB4EC25y8ihUv5S9KlIk78bgLwpw7fD5kMfOic2+Gcu75jx0TCHOyc2wVMBNY752KJ1acCbyf6jQZ2OX1hVESyS/lL0qIiTvxuEvB+h+XJwAcp+p4HvNJhuw0ptju1m32IiGSK8pekRUWc+F3XJHgK8GGKvl2/T/I+QOLSRKlzbk9iXXeJVEQkU5S/JC16xIj0S2Y2BPgxcAHwqHPufjNbD8xwzrXldnYiIqkpf0lvqYgTERER8SFdThURERHxIRVxIiIiIj6kIk5ERETEh1TEiYiIiPiQijgRERERH1IRJyIiIuJDKuJEREREfEhFnIiIiIgP/T/YQHrvSrArSgAAAABJRU5ErkJggg==\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Lower Gamma (=1e-7)"],"metadata":{"id":"ToGjEWfQ_dif"}},{"cell_type":"code","source":["gamma = 1e-7\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"N_bXJfs8AD4w","executionInfo":{"status":"ok","timestamp":1678196616963,"user_tz":-60,"elapsed":294915,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"2441d270-da76-4677-8ec8-879be9ecfc0e"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:06<00:00, 1.45it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.36s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:34<00:00, 3.41s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:08<00:00, 6.85s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:51<00:00, 17.15s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"eCgwxlIuAD2E","executionInfo":{"status":"ok","timestamp":1678196892194,"user_tz":-60,"elapsed":275254,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"649ef97e-463f-4bf6-fec1-6c4e5c5f12c9"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.35it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.39s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:32<00:00, 3.23s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:04<00:00, 6.44s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:37<00:00, 15.75s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_lower_gamma_1em7.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"luUWjvbNADyq","executionInfo":{"status":"ok","timestamp":1678196895380,"user_tz":-60,"elapsed":3202,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"7613394a-2de3-4152-c637-ca1cfebaaf41"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Higher variance in data (2x)"],"metadata":{"id":"zymr6r5l_khD"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1, x_sigma=2.0)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"2pQOrnzkAEd9","executionInfo":{"status":"ok","timestamp":1678193696444,"user_tz":-60,"elapsed":303090,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"9f67ed3d-d08c-4af3-aece-1360bba761ab"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.39it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.38s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:35<00:00, 3.54s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:10<00:00, 7.06s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:55<00:00, 17.52s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1, x_sigma=2.0)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"o3TdpuIJAEbM","executionInfo":{"status":"ok","timestamp":1678193972578,"user_tz":-60,"elapsed":276143,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"c104c93e-7e20-4d68-f346-9b12b817f8df"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:08<00:00, 1.25it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:14<00:00, 1.41s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:33<00:00, 3.30s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:03<00:00, 6.38s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:37<00:00, 15.71s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_higher_x_variance_2x.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"pGb688D1AEYb","executionInfo":{"status":"ok","timestamp":1678193974688,"user_tz":-60,"elapsed":2126,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"85664a78-5013-4fb0-9651-910d24b42c28"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Lower variance in data (0.5x)"],"metadata":{"id":"Bg8s1sd0_y4_"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1, x_sigma=0.5)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"vZKz7sbcAE8z","executionInfo":{"status":"ok","timestamp":1678194273709,"user_tz":-60,"elapsed":299026,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"cac5cdd2-2c83-4cbd-cecd-ffe1903dcc98"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.43it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.37s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:34<00:00, 3.46s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:09<00:00, 6.98s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:53<00:00, 17.39s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1, x_sigma=0.5)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"l-hmG6WLAE6G","executionInfo":{"status":"ok","timestamp":1678194548401,"user_tz":-60,"elapsed":274701,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"d5cd7d12-3256-40c3-cdff-0a86f4d0c13c"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.26it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.36s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:32<00:00, 3.25s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:03<00:00, 6.34s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:36<00:00, 15.69s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_lower_x_variance_0p5x.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"GIxe1ufeAE3U","executionInfo":{"status":"ok","timestamp":1678194550816,"user_tz":-60,"elapsed":2421,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"13b2a5dd-bd6b-4067-eab9-cb74344934b3"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Higher variance in Beta (2x)"],"metadata":{"id":"n3B0Ms1b_46a"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1, beta_sigma=2.0)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"8f4e3cG6AFfH","executionInfo":{"status":"ok","timestamp":1678194850917,"user_tz":-60,"elapsed":300109,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"a7f9e934-0efb-4b59-c381-b0f6e9080357"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:06<00:00, 1.44it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.37s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:35<00:00, 3.50s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:10<00:00, 7.00s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:54<00:00, 17.48s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1, beta_sigma=2.0)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Bwn_eUrEAFcg","executionInfo":{"status":"ok","timestamp":1678195126013,"user_tz":-60,"elapsed":275103,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"56ce0f52-8d78-42ec-d8f0-c4b0fe365792"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.30it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.39s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:32<00:00, 3.28s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:03<00:00, 6.36s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:36<00:00, 15.70s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_higher_beta_variance_2x.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"U8Qtxqr2AFZm","executionInfo":{"status":"ok","timestamp":1678195128405,"user_tz":-60,"elapsed":2406,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"eb46bf21-85cb-42f3-c462-8806262367e5"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["### Lower variance in Beta (0.5x)"],"metadata":{"id":"ODkz8_S8_4wc"}},{"cell_type":"code","source":["gamma = 1e-6\n","n0 = 2 ** 10\n","m = 2 ** 11\n","snr = 5\n","sigma_eps = math.sqrt(1/snr)\n","\n","device = \"cuda\"\n","k_P_values = [1, 2, 5, 10, 25]\n","\n","ensemble_results = run_ensembles(gamma, n0, m, snr, k_P_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1, beta_sigma=0.5)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"SHSzIyddAGBP","executionInfo":{"status":"ok","timestamp":1678195430249,"user_tz":-60,"elapsed":301853,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"9ff9ed00-2584-4a6a-b092-d6a708c20202"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.34it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.39s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:35<00:00, 3.51s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:09<00:00, 6.95s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_P=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:55<00:00, 17.60s/it]\n"]}]},{"cell_type":"code","source":["k_D_values = [1, 2, 5, 10, 25]\n","bagging_results = run_bagging(gamma, n0, m, snr, k_D_values, device=\"cuda\", seed=123, precision=torch.float64, activation=torch.tanh, beta_layers=1, beta_sigma=0.5)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"jn6avW-s_dFW","executionInfo":{"status":"ok","timestamp":1678195707318,"user_tz":-60,"elapsed":277077,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"f4375f0f-e423-4cd7-b242-e45fbb611eaa"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=1...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:07<00:00, 1.33it/s]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=2...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:13<00:00, 1.40s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=5...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [00:32<00:00, 3.27s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=10...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [01:04<00:00, 6.46s/it]\n"]},{"output_type":"stream","name":"stdout","text":["Evaluating for k_D=25...\n"]},{"output_type":"stream","name":"stderr","text":["100%|██████████| 10/10 [02:38<00:00, 15.82s/it]\n"]}]},{"cell_type":"code","source":["plot_ensembles_bagging(ensemble_results, bagging_results, save_filename=\"results_lower_beta_variance_0p5x.png\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":357},"id":"SlnyzsXv_KFx","executionInfo":{"status":"ok","timestamp":1678195710754,"user_tz":-60,"elapsed":3453,"user":{"displayName":"G.Hari Prasath","userId":"04433890646789452967"}},"outputId":"5dcc621a-7e56-49c6-faa8-5aaa85e2fc03"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 720x360 with 2 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]}]} \ No newline at end of file diff --git a/presentations/dd_regression_ensembling_bagging.ipynb b/presentations/dd_regression_ensembling_bagging.ipynb new file mode 100644 index 0000000..f6c2000 --- /dev/null +++ b/presentations/dd_regression_ensembling_bagging.ipynb @@ -0,0 +1,658 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + }, + "accelerator": "GPU", + "gpuClass": "standard" + }, + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "gIBbftqv_1Bl" + }, + "outputs": [], + "source": [ + "import torch\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from tqdm import tqdm\n", + "import math" + ] + }, + { + "cell_type": "markdown", + "source": [ + "### True Model\n", + "\n", + "$$x \\in \\mathbb{R}^{n_0}, \\text{ with } x_j \\sim \\mathcal{U}(-5, 5)$$\n", + "$$y_i = x_{i, 1} + sin(x_{i, 1}) + ɛ_i, \\text{ where } ɛ_i \\sim \\mathcal{N}(0, 0.1^2) \\text{ w.p. } 0.95 \\text{ and } \\mathcal{N}(0, 2^2) \\text{ w.p. } 0.05$$" + ], + "metadata": { + "id": "iqbhTljVOZfR" + } + }, + { + "cell_type": "code", + "source": [ + "def gen_data(n = 100, x_dim = 25, unif_scale = 5, eps_mix_weights = [0.95, 0.05], eps_sigmas = [0.1, 2]):\n", + "\n", + " x = 2*unif_scale*torch.rand((n, x_dim)) - unif_scale\n", + " eps_choice = torch.distributions.categorical.Categorical(\n", + " probs = torch.tensor(eps_mix_weights)).sample(torch.Size([n]))\n", + " eps = torch.tensor([eps_sigmas[x]*torch.randn(1).item() for x in eps_choice])\n", + " y = x[:, 0] + torch.sin(x[:, 0]) + eps\n", + "\n", + " return x, y" + ], + "metadata": { + "id": "FOb9IH1pOZfV" + }, + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "source": [ + "n_runs = 4\n", + "fig, ax = plt.subplots(n_runs//2, 2, figsize=(15, 10))\n", + "fig.subplots_adjust(hspace=0.3)\n", + "\n", + "for run in range(2):\n", + "\n", + " x, y = gen_data(2**10)\n", + "\n", + " ax[run, 0].scatter(x[:, 0].numpy(), y.numpy())\n", + " ax[run, 0].set_title(f'$y(x)$ - $log_2(n) = 10$ - Run {run + 1}') \n", + " ax[run, 0].set_xlabel('$x_1$')\n", + "\n", + " x, y = gen_data(2**10)\n", + "\n", + " ax[run, 1].scatter(x[:, 0].numpy(), y.numpy())\n", + " ax[run, 1].set_title(f'$y(x))$ - $log_2(n) = 10$ - Run {run + 3}') \n", + " ax[run, 1].set_xlabel('$x_1$')\n", + "\n", + "plt.savefig('regr.png', dps = 300)" + ], + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 660 + }, + "outputId": "00e6ad87-dd8a-40e9-d185-46b29e69503e", + "id": "mir_AAPPOZfY" + }, + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "name": "stderr", + "text": [ + "<ipython-input-3-b58d0e47d64c>:19: MatplotlibDeprecationWarning: savefig() got unexpected keyword argument \"dps\" which is no longer supported as of 3.3 and will become an error in 3.6\n", + " plt.savefig('regr.png', dps = 300)\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x720 with 4 Axes>" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "source": [ + "### Inference Model (Discriminative)\n", + "\n", + "$\\textbf{Inputs}$:\n", + "\n", + "Training data $\\{x_i \\in \\mathbb{R}^{n_0}, y_i \\in \\mathbb{R}\\}_{i = 1}^{m}$ and test data $\\{x_{t_i} \\in \\mathbb{R}^{n_0}\\}_{i = 1}^{m}$\n", + "\n", + "$\\textbf{Model}$: \n", + "\n", + "Random-Fourier features for a single set of training or test covariates $x \\in \\mathbb{R}^{n_0}$ are computed using:\n", + "$$\\phi_j(x) = \\sqrt{\\frac{2}{j}}cos(w_j^Tx + b_j), \\text{ with } j \\in \\{1, 2, .., n_1\\}, w_j \\sim \\mathcal{N}(0, 2\\lambda\\mathbb{I}_{25}) \\text{ and } b_j \\sim \\mathcal{U}(0, 2\\pi)$$\n", + "\n", + "Let:\n", + "- $\\Phi(x) \\in \\mathbb{R}^{n_1}$ be the random-Fourier features of $x$\n", + "- $X \\in \\mathbb{R}^{n_0 \\times m}$ be the training covariates\n", + "- $y \\in \\mathbb{R}^m$ be the training labels\n", + "- $X_t \\in \\mathbb{R}^{n_0 \\times m}$ be the test covariates\n", + "\n", + "Define kernel-function $k(\\cdot, \\cdot\\cdot) := \\frac{1}{n_1}\\sigma\\bigg(\\frac{\\Phi(\\cdot)}{\\sqrt{n_0}}\\bigg)^T\\sigma\\bigg(\\frac{\\Phi(\\cdot\\cdot)}{\\sqrt{n_0}}\\bigg) \\in \\mathbb{R}$.\n", + "\n", + "We predict test labels $\\hat{\\ell}_t$ as:\n", + "\n", + "$$\\hat{y}_t = K^{-1}K_xy, \\text{ with } K = k(X, X) \\text{ and } K_x = k(X, X_t)$$" + ], + "metadata": { + "id": "c_k6gkgcQsu7" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "id": "m3fsIjTD_m0i" + }, + "outputs": [], + "source": [ + "def get_fourier_features(n1, x, b, w, device=\"cuda\"):\n", + "\n", + " #b = 2*torch.pi*torch.rand(n1).type(torch.float64).to(device) # Size: (n1, )\n", + " #w = 2*lambda_*torch.randn((x.shape[1], n1)).type(torch.float64).to(device) # Size: (n0, n1)\n", + " cosine_term = torch.cos(w.T @ x.T + b.unsqueeze(-1)) # Size: (n1, m)\n", + " multiplier = torch.sqrt(2*torch.tensor([1./j for j in range(1, n1 + 1)]).unsqueeze(-1).expand((n1, x.shape[0]))).type(torch.float64).to(device) # Size: (n1, m)\n", + " return cosine_term*multiplier # Size: (n1, m)\n", + "\n", + "def run_ensembles(n0, m, k_P_values, data_gen_fn, lambda_ = 1.0, r_values=None, device=\"cuda\", seed=123, activation=torch.tanh, eps = 1e-6):\n", + " \n", + " if not r_values:\n", + " \n", + " r_values = np.logspace(-2, 1, 10)\n", + "\n", + " torch.manual_seed(seed)\n", + "\n", + " # Generate test data\n", + " X_test, y_test = data_gen_fn(m, n0)\n", + "\n", + " # Data sampling (training data)\n", + " X, y = data_gen_fn(m, n0)\n", + "\n", + " # Set precision and push data to device\n", + " X_test = X_test.type(torch.float64).to(device)\n", + " y_test = y_test.type(torch.float64).to(device)\n", + " X = X.type(torch.float64).to(device)\n", + " y = y.type(torch.float64).to(device)\n", + "\n", + " # Begin ensembling\n", + " ensemble_results = {}\n", + "\n", + " for k_P in k_P_values:\n", + "\n", + " print(f\"Evaluating for k_P={k_P}...\")\n", + " mses = []\n", + "\n", + " aggregate_labels = torch.zeros(m, dtype=torch.float64).to(device)\n", + "\n", + " for r in tqdm(r_values):\n", + "\n", + " for _ in range(k_P):\n", + "\n", + " # Model init - ensemble\n", + " n1 = int(m * r)\n", + " b = 2*torch.pi*torch.rand(n1).type(torch.float64).to(device) # Size: (n1, )\n", + " w = 2*lambda_*torch.randn((n0, n1)).type(torch.float64).to(device) # Size: (n0, n1)\n", + " Phi_X = get_fourier_features(n1, X, b, w, device)\n", + " Phi_X_test = get_fourier_features(n1, X_test, b, w, device)\n", + "\n", + " # Fit model and compute prediction y_hat\n", + " K_X = Phi_X.T @ Phi_X / n1\n", + " K_X += eps * torch.eye(m, dtype=torch.float64).to(device) # for numerical stability\n", + " K_X_test = Phi_X.T @ Phi_X_test / n1\n", + " L_hat = (y.unsqueeze(0) @ torch.linalg.solve(K_X, K_X_test)).squeeze(0) # Size: (m, )\n", + "\n", + " # Aggregate \n", + " aggregate_labels += L_hat\n", + "\n", + " aggregate_labels /= k_P\n", + "\n", + " mse = torch.mean((aggregate_labels - y_test)**2).item()\n", + "\n", + " mses.append(mse)\n", + "\n", + " ensemble_results[k_P] = mses\n", + "\n", + " return ensemble_results\n", + "\n", + "def run_bagging(n0, m, k_D_values, data_gen_fn, lambda_ = 1.0, r_values=None, device=\"cuda\", seed=123, activation=torch.tanh, eps = 1e-6):\n", + "\n", + " if not r_values:\n", + " r_values = np.logspace(-2, 1, 10)\n", + "\n", + " torch.manual_seed(seed)\n", + "\n", + " # Generate test data\n", + " X_test, y_test = data_gen_fn(m, n0)\n", + "\n", + " # Set precision and push test data to device\n", + " X_test = X_test.type(torch.float64).to(device)\n", + " y_test = y_test.type(torch.float64).to(device)\n", + "\n", + " # Begin bagging\n", + " bagging_results = {}\n", + "\n", + " for k_D in k_D_values:\n", + "\n", + " print(f\"Evaluating for k_D={k_D}...\")\n", + " mses = []\n", + "\n", + " aggregate_labels = torch.zeros(m, dtype=torch.float64).to(device)\n", + " \n", + " for r in tqdm(r_values):\n", + " \n", + " # Model init\n", + " n1 = int(m * r)\n", + " b = 2*torch.pi*torch.rand(n1).type(torch.float64).to(device) # Size: (n1, )\n", + " w = 2*lambda_*torch.randn((n0, n1)).type(torch.float64).to(device) # Size: (n0, n1)\n", + " Phi_X_test = get_fourier_features(n1, X_test, b, w, device)\n", + "\n", + " for _ in range(k_D):\n", + "\n", + " # Generate train data\n", + " X, y = data_gen_fn(m, n0)\n", + "\n", + " # Set precision and push train data to device\n", + " X = X.type(torch.float64).to(device)\n", + " y = y.type(torch.float64).to(device)\n", + "\n", + " # Get Train Fourier Features\n", + " Phi_X = get_fourier_features(n1, X, b, w, device) \n", + "\n", + " # Fit model and compute prediction y_hat\n", + " K_X = Phi_X.T @ Phi_X / n1\n", + " K_X += eps * torch.eye(m, dtype=torch.float64).to(device) # for numerical stability\n", + " K_X_test = Phi_X.T @ Phi_X_test / n1\n", + " y_hat = (y.unsqueeze(0) @ torch.linalg.solve(K_X, K_X_test)).squeeze(0) # Size: (m, )\n", + "\n", + " # Aggregate \n", + " aggregate_labels += y_hat\n", + "\n", + " aggregate_labels /= k_D\n", + " mse = torch.mean((aggregate_labels - y_test)**2).item()\n", + "\n", + " mses.append(mse)\n", + "\n", + " bagging_results[k_D] = mses\n", + "\n", + " return bagging_results\n", + " \n", + "def run_true_bagging(n0, m, k_D_values, data_gen_fn, lambda_ = 1.0, r_values=None, device=\"cuda\", seed=123, activation=torch.tanh, eps = 1e-6):\n", + "\n", + " if not r_values:\n", + " r_values = np.logspace(-2, 1, 10)\n", + "\n", + " torch.manual_seed(seed)\n", + "\n", + " # Generate test data\n", + " X_test, y_test = data_gen_fn(m, n0)\n", + "\n", + " # Set precision and push test data to device\n", + " X_test = X_test.type(torch.float64).to(device)\n", + " y_test = y_test.type(torch.float64).to(device)\n", + "\n", + " # Generate train data\n", + " X, y = data_gen_fn(m, n0)\n", + "\n", + " # Set precision and push train data to device\n", + " X = X.type(torch.float64).to(device)\n", + " y = y.type(torch.float64).to(device) \n", + "\n", + " # Begin bagging\n", + " bagging_results = {}\n", + "\n", + " for k_D in k_D_values:\n", + "\n", + " print(f\"Evaluating for k_D={k_D}...\")\n", + " mses = []\n", + "\n", + " aggregate_labels = torch.zeros(m, dtype=torch.float64).to(device) \n", + " \n", + " for r in tqdm(r_values):\n", + " \n", + " # Model init\n", + " n1 = int(m * r)\n", + " b = 2*torch.pi*torch.rand(n1).type(torch.float64).to(device) # Size: (n1, )\n", + " w = 2*lambda_*torch.randn((n0, n1)).type(torch.float64).to(device) # Size: (n0, n1)\n", + " Phi_X_test = get_fourier_features(n1, X_test, b, w, device)\n", + "\n", + " for _ in range(k_D):\n", + "\n", + " # Get Train Fourier Features\n", + " sample_indices = torch.randint(low=0, high=m, size=(m,))\n", + " X_sample = X[sample_indices, :]\n", + " y_sample = y[sample_indices]\n", + " Phi_X = get_fourier_features(n1, X_sample, b, w, device) \n", + "\n", + " # Fit model and compute prediction y_hat\n", + " K_X = Phi_X.T @ Phi_X / n1\n", + " K_X += eps * torch.eye(m, dtype=torch.float64).to(device) # for numerical stability\n", + " K_X_test = Phi_X.T @ Phi_X_test / n1\n", + " y_hat = (y.unsqueeze(0) @ torch.linalg.solve(K_X, K_X_test)).squeeze(0) # Size: (m, )\n", + "\n", + " # Aggregate \n", + " aggregate_labels += y_hat\n", + "\n", + " aggregate_labels /= k_D\n", + " mse = torch.mean((aggregate_labels - y_test)**2).item()\n", + "\n", + " mses.append(mse)\n", + "\n", + " bagging_results[k_D] = mses\n", + "\n", + " return bagging_results\n", + " \n", + "def plot_ensembles_bagging(ensemble_results, bagging_results, true_bagging_results, k_D_values, k_P_values, r_values=None, save_filename=\"results.png\"):\n", + " if not r_values:\n", + " r_values = np.logspace(-2, 1, 10)\n", + "\n", + " fig, ax = plt.subplots(1, 3, figsize=(15, 5), sharey=True)\n", + "\n", + " for k_D, mses in bagging_results.items():\n", + " ax[0].plot(r_values, mses, '--o')\n", + "\n", + " _ = ax[0].legend([f\"$k_D={k}$\" for k in k_D_values])\n", + " _ = ax[0].set_xlabel(\"$ n_1/m $\")\n", + " _ = ax[0].set_ylabel(\"$E_{\\mathrm{test}}$\")\n", + " _ = ax[0].set_xscale(\"log\")\n", + " _ = ax[0].set_yscale(\"log\")\n", + " _ = ax[0].set_title(\"Bagging\")\n", + " _ = ax[0].grid()\n", + "\n", + " for k_D, mses in true_bagging_results.items():\n", + " ax[1].plot(r_values, mses, '--o')\n", + "\n", + " _ = ax[1].legend([f\"$k_D={k}$\" for k in k_D_values])\n", + " _ = ax[1].set_xlabel(\"$ n_1/m $\")\n", + " _ = ax[1].set_xscale(\"log\")\n", + " _ = ax[1].set_yscale(\"log\")\n", + " _ = ax[1].set_title(\"Bootstrap Bagging\")\n", + " _ = ax[1].grid() \n", + "\n", + " for k_P, mses in ensemble_results.items():\n", + " ax[2].plot(r_values, mses, '--o')\n", + "\n", + " _ = ax[2].legend([f\"$k_P={k}$\" for k in k_P_values])\n", + " _ = ax[2].set_xlabel(\"$ n_1/m $\")\n", + " _ = ax[2].set_xscale(\"log\")\n", + " _ = ax[2].set_xscale(\"log\")\n", + " _ = ax[2].set_title(\"Ensembles\")\n", + " _ = ax[2].grid() \n", + "\n", + " plt.savefig(save_filename, dpi=300)" + ] + }, + { + "source": [ + "### Experiments" + ], + "cell_type": "markdown", + "metadata": { + "id": "htvT9I5Z_m0k" + } + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 878 + }, + "id": "4NdPDcHh_m0k", + "outputId": "9043027d-9ee2-487e-b311-7d4305209947" + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_P=1...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:10<00:00, 1.04s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_P=2...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:13<00:00, 1.36s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_P=5...\n" + ] + }, + { + "output_type": "stream", + 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}, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=5...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:28<00:00, 2.87s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=10...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:56<00:00, 5.62s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=25...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [02:17<00:00, 13.75s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=1...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:06<00:00, 1.58it/s]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=2...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:11<00:00, 1.17s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=5...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:26<00:00, 2.68s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=10...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [00:52<00:00, 5.25s/it]\n" + ] + }, + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Evaluating for k_D=25...\n" + ] + }, + { + "output_type": "stream", + "name": "stderr", + "text": [ + "100%|██████████| 10/10 [02:09<00:00, 12.91s/it]\n" + ] + }, + { + "output_type": "display_data", + "data": { + "text/plain": [ + "<Figure size 1080x360 with 3 Axes>" + ], + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "k_D_values = k_P_values = [1, 2, 5, 10, 25]\n", + "n0 = 2 ** 10\n", + "m = 2 ** 11\n", + "\n", + "ensemble_results = run_ensembles(n0, m, k_P_values, gen_data)\n", + "bagging_results = run_bagging(n0, m, k_D_values, gen_data)\n", + "true_bagging_results = run_true_bagging(n0, m, k_D_values, gen_data)\n", + "plot_ensembles_bagging(ensemble_results, bagging_results, true_bagging_results, k_D_values, k_P_values, save_filename=f\"experiment_regr.png\")" + ] + }, + { + "cell_type": "code", + "source": [], + "metadata": { + "id": "_uBPk3COWJPp" + }, + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file -- GitLab