diff --git a/Entrega.ipynb b/Entrega.ipynb index 58ca51f82d8f44e07ac5e6464c3d305db6d71050..8d7286eddea0025797080bdf72cc0d685a66cda6 100644 --- a/Entrega.ipynb +++ b/Entrega.ipynb @@ -196,17 +196,152 @@ "outputs": [ { "data": { + "image/png": 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\n", "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a7cae80>" + "<Figure size 1440x504 with 1 Axes>" ] }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(20, 7))\n", + "ax.imshow(gr_img, cmap ='gist_gray')\n", + "rect1 = patches.Rectangle((889-5, 283-5), 15, 10, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(889-8,283-10,'1',fontsize=10, c='orange')\n", + "rect2 = patches.Rectangle((946-5, 250-5), 20, 20, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(946-8,250-10,'2',fontsize=10, c='orange')\n", + "rect3 = patches.Rectangle((617, 308-5), 20, 20, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(617,308-10,'3',fontsize=10, c='orange')\n", + "rect4 = patches.Rectangle((605, 16-5), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(605+18,16,'4',fontsize=10, c='orange')\n", + "rect5 = patches.Rectangle((542, 347-5), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(542,347-9,'5',fontsize=10, c='orange')\n", + "rect6 = patches.Rectangle((305, 295-5), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(305,295-9,'6',fontsize=10, c='orange')\n", + "rect7 = patches.Rectangle((386, 141-5), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(386,141-9,'7',fontsize=10, c='orange')\n", + "rect8 = patches.Rectangle((320, 458), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(320,458-9,'8',fontsize=10, c='orange')\n", + "rect9 = patches.Rectangle((1071-2, 277), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(1071-2,277-9,'9',fontsize=10, c='orange')\n", + "rect10 = patches.Rectangle((882, 42-9), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", + "ax.text(882,42-9,'10',fontsize=10, c='orange')\n", + "\n", + "ax.add_patch(rect1)\n", + "ax.add_patch(rect2)\n", + "ax.add_patch(rect3)\n", + "ax.add_patch(rect4)\n", + "ax.add_patch(rect5)\n", + "ax.add_patch(rect6)\n", + "ax.add_patch(rect7)\n", + "ax.add_patch(rect8)\n", + "ax.add_patch(rect9)\n", + "ax.add_patch(rect10)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def function(params, x, y):\n", + " A = params[0]\n", + " sigma_x = params[1]\n", + " sigma_y = params[2]\n", + " x0 = params[3]\n", + " y0 = params[4]\n", + " theta = params[5]\n", + " K = params[6]\n", + " \n", + " a = np.cos(theta)**2/(2*sigma_x**2) + np.sin(theta)**2/(2*sigma_y**2)\n", + " b = -np.sin(2*theta)/(4*sigma_x**2) + np.sin(2*theta)/(4*sigma_y**2)\n", + " c = np.sin(theta)**2/(2*sigma_x**2) + np.cos(theta)**2/(2*sigma_y**2)\n", + "\n", + " z = A*np.exp( - (a*(x-x0)**2 + 2*b*(x-x0)*(y-y0) + c*(y-y0)**2)) + K\n", + " return z" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def Error(tpl,x,y,z):\n", + " # x son las posiciones reportadas\n", + " # y son los valores medidos en las posiciones x\n", + " # tpl es una tupla con los parámetros para calcular el modelo\n", + " zmodel = function(tpl,x,y)\n", + " errors = (zmodel.flatten() - z.flatten())\n", + " return errors" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def calculator(star,p0,Error):\n", + " x = np.arange(0,star.shape[0],1)\n", + " y = np.arange(0,star.shape[1],1)\n", + " x, y = np.meshgrid(y,x)\n", + " best,suss = leastsq(Error, p0, args=(x,y,star))\n", + " return best,x,y" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "FWHM_x = []\n", + "FWHM_y = []" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "def determinar(star,p0, FWHMx = FWHM_x, FWHMy = FWHM_y):\n", + " best_star,x,y = calculator(star, p0, Error)\n", + " print(best_star)\n", + " FWHM_star_x = 2*np.sqrt(2*np.log(2))*best_star[1]\n", + " FWHM_star_y = 2*np.sqrt(2*np.log(2))*best_star[2]\n", + " FWHMx.append(FWHM_star_x)\n", + " FWHMy.append(FWHM_star_y)\n", + " print(FWHM_star_x,FWHM_star_y)\n", + " fig, ax = plt.subplots(figsize=(20, 7))\n", + "\n", + " ax.imshow(star,cmap='gist_gray')\n", + " ax.contour(x, y, function(best_star,x,y), 3, colors='r')\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 1" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ { "data": { - "image/png": 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"text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -215,34 +350,77 @@ "needs_background": "light" }, "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[186.07969768 0.92039049 1.01048277 2.00654537 2.0493886\n", + " -0.300277 69.41303048]\n", + "2.1673539689071366 2.3795050880398305\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ "str_1 = gr_img.copy()\n", - "str_1 = str_1[283:288,889:896] \n", - "plt.imshow(str_1, cmap ='gist_gray')" + "str_1 = str_1[283:288,890:895] \n", + "plt.imshow(str_1, cmap ='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [70, 1.2, 11, 1, 1, 0, 0]\n", + "determinar(str_1,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 2" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a7b8438>" + "<Figure size 432x288 with 1 Axes>" ] }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[199.01253816 1.08145645 1.00567015 2.34913877 2.25632274\n", + " -1.64457802 71.94966219]\n", + "2.546635316348273 2.3681722290552565\n" + ] }, { "data": { - "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 1440x504 with 1 Axes>" ] }, "metadata": { @@ -254,29 +432,51 @@ "source": [ "str_2 = gr_img.copy()\n", "str_2 = str_2[252:257,949:955]\n", - "plt.imshow(str_2, cmap='gist_gray')" + "plt.imshow(str_2, cmap='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [50, 1.3, 2.5, 4, 1, 0, 0]\n", + "determinar(str_2,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 3" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { + "image/png": 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r+kREPD5pu1w7TdsZ35OtZGbffoAh4KfAq4AlwP3Aa6Ys8/vA55rb1wFfqljPeuDK5vYq4Cdd6nkL8PU+r6e9wCtmeP5a4BtAAK8H7u3j9jtI58Sqvq0j4M3AlcCDkx77S+Cm5vZNwCe7tDsf2NP8XtvcXlupnmuAxc3tT3arZzbbtsc1fQL4k1ls0xnfk21++r0H8zpgd2buycwx4HZg85RlNgO3NLfvAK6OShPJZOaBzNzR3H4eeBi4qEZfPbYZ+JfsuAdYExHr+9Dv1cBPM3O6s7GryO7Ttk5+ndwCvLNL098EtmXmM5n5LLCNLvNL96KezLw7M8ebu/fQmSepb6ZZR7Mxm/dksX4HzEXAvkn39/PSN/TPl2k22GHggtqFNR/FXgvc2+XpN0TE/RHxjYj4pdq10Jnn+O6I+GEzI+BUs1mPNVwH3DbNc/1eR+sy80Bz+yCwrssyc7We3kdnD7Obs23bXvtA87Ht5mk+RlZdRx7kBSJiBPgy8KHMPDLl6R10PhL8CvAPwH/0oaQ3ZeaVwNuAP4iIN/ehzxlFxBLgHcC/d3l6LtbRz2VnX39enG8RER8DxoFbp1mkn9v2s3RmoPxV4ADw1xX76qrfAfM4cPGk+xuax7ouExGLgdXA07UKiohhOuFya2Z+ZerzmXkkM19obt8FDNe+DlRmPt78PgR8lc5u7GSzWY+99jZgR2Y+MfWJuVhHwBNnPhY2vw91Waav6yki3gO8HfidJvReYhbbtmcy84nMPJ2ZE8A/TdNX1XXU74D5AfDqiNjY/I94HXDnlGXuBM4c7X8X8O3pNlZbzbGdLwAPZ+anp1nmlWeOAUXE6+iss5qBtzIiVp25Tefg4dSL3t0J/F7zbdLrgcOTPi7Ucj3TfDzq9zpqTH6d3AB8rcsy3wSuiYi1zceDa5rHei4iNtG5jM87MvPYNMvMZtv2sqbJx+V+e5q+ZvOeLNfro9mzONp9LZ1va34KfKx57M/pbBiAZXR2w3cD/wO8qmItb6Kza70TuK/5uRZ4P/D+ZpkPALvoHF2/B3hj5fXzqqav+5t+z6yjyTUF8JlmHT5AZ07kmjWtpBMYqyc91rd1RCfYDgCn6BwjuJHOcblvAY8C/wWc3yw7Cnx+Utv3Na+l3cB7K9azm86xjDOvozPfhF4I3DXTtq1Y0782r4+ddEJj/dSamvsveU/26sehApKq8SCvpGoMGEnVGDCSqjFgJFVjwEiqxoCRVI0BI6ma/wd6A8v77yysRAAAAABJRU5ErkJggg==\n", "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a7146a0>" + "<Figure size 432x288 with 1 Axes>" ] }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[167.1691 2.54202832 2.43955445 8.26104046 6.7936942\n", + " -1.57329251 97.72363193]\n", + "5.986019246498141 5.744711731315182\n" + ] }, { "data": { - "image/png": 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r+kREPD5pu1w7TdsZ35OtZGbffoAh4KfAq4AlwP3Aa6Ys8/vA55rb1wFfqljPeuDK5vYq4Cdd6nkL8PU+r6e9wCtmeP5a4BtAAK8H7u3j9jtI58Sqvq0j4M3AlcCDkx77S+Cm5vZNwCe7tDsf2NP8XtvcXlupnmuAxc3tT3arZzbbtsc1fQL4k1ls0xnfk21++r0H8zpgd2buycwx4HZg85RlNgO3NLfvAK6OShPJZOaBzNzR3H4eeBi4qEZfPbYZ+JfsuAdYExHr+9Dv1cBPM3O6s7GryO7Ttk5+ndwCvLNL098EtmXmM5n5LLCNLvNL96KezLw7M8ebu/fQmSepb6ZZR7Mxm/dksX4HzEXAvkn39/PSN/TPl2k22GHggtqFNR/FXgvc2+XpN0TE/RHxjYj4pdq10Jnn+O6I+GEzI+BUs1mPNVwH3DbNc/1eR+sy80Bz+yCwrssyc7We3kdnD7Obs23bXvtA87Ht5mk+RlZdRx7kBSJiBPgy8KHMPDLl6R10PhL8CvAPwH/0oaQ3ZeaVwNuAP4iIN/ehzxlFxBLgHcC/d3l6LtbRz2VnX39enG8RER8DxoFbp1mkn9v2s3RmoPxV4ADw1xX76qrfAfM4cPGk+xuax7ouExGLgdXA07UKiohhOuFya2Z+ZerzmXkkM19obt8FDNe+DlRmPt78PgR8lc5u7GSzWY+99jZgR2Y+MfWJuVhHwBNnPhY2vw91Waav6yki3gO8HfidJvReYhbbtmcy84nMPJ2ZE8A/TdNX1XXU74D5AfDqiNjY/I94HXDnlGXuBM4c7X8X8O3pNlZbzbGdLwAPZ+anp1nmlWeOAUXE6+iss5qBtzIiVp25Tefg4dSL3t0J/F7zbdLrgcOTPi7Ucj3TfDzq9zpqTH6d3AB8rcsy3wSuiYi1zceDa5rHei4iNtG5jM87MvPYNMvMZtv2sqbJx+V+e5q+ZvOeLNfro9mzONp9LZ1va34KfKx57M/pbBiAZXR2w3cD/wO8qmItb6Kza70TuK/5uRZ4P/D+ZpkPALvoHF2/B3hj5fXzqqav+5t+z6yjyTUF8JlmHT5AZ07kmjWtpBMYqyc91rd1RCfYDgCn6BwjuJHOcblvAY8C/wWc3yw7Cnx+Utv3Na+l3cB7K9azm86xjDOvozPfhF4I3DXTtq1Y0782r4+ddEJj/dSamvsveU/26sehApKq8SCvpGoMGEnVGDCSqjFgJFVjwEiqxoCRVI0BI6ma/wd6A8v77yysRAAAAABJRU5ErkJggg==\n", 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 1440x504 with 1 Axes>" ] }, "metadata": { @@ -288,29 +488,51 @@ "source": [ "str_3 = gr_img.copy()\n", "str_3 = str_3[309:324,619:636]\n", - "plt.imshow(str_3, cmap='gist_gray')" + "plt.imshow(str_3, cmap='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [50, 15, 10, 4, 1, 0, 0]\n", + "determinar(str_3,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 4" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAD4CAYAAAA0L6C7AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAJhElEQVR4nO3dzWtdBR7G8edpG0kggyJ1IU2ZuhChCKMYithdQagv1G0FXUihC0eoIIgu/QfEjZv6ggO+IehCpIMUrYjgW6xVrLVQiqWVamcoooXGmuaZRe6iI01z7u099+T++H4gkJsbzn1I8+1JbsKJkwhAHWu6HgBguIgaKIaogWKIGiiGqIFi1rVx0ImJiUxOTrZx6KG7cOFC1xP6sm5dK/9krRmnj++aNeNzjltYWNDFixd9ufta+QyZnJzUHXfc0cahh+7EiRNdT+jL+vXru57Ql3H6+E5NTXU9obGff/552fvG578mAI0QNVAMUQPFEDVQDFEDxRA1UAxRA8UQNVAMUQPFEDVQDFEDxRA1UAxRA8UQNVAMUQPFEDVQDFEDxTSK2vZ220dtH7P9VNujAAxuxahtr5X0vKR7JG2W9KDtzW0PAzCYJmfqLZKOJTme5IKkNyU90O4sAINqEvUGSScvuX2q97b/Y3u37Tnbc3/++eew9gHo09CeKEuyN8lsktmJiYlhHRZAn5pE/ZOkjZfcnum9DcAq1CTqLyXdbPsm29dI2inp3XZnARjUihfzT7Jg+zFJ70taK+nlJIdbXwZgII3+QkeSfZL2tbwFwBDwG2VAMUQNFEPUQDFEDRRD1EAxRA0UQ9RAMUQNFEPUQDFEDRRD1EAxRA0UQ9RAMUQNFEPUQDFEDRTT6CIJ/br++uu1c+fONg49dC+88ELXE/ryyCOPdD2hL/v2jc+1NQ4ePNj1hMaSLHsfZ2qgGKIGiiFqoBiiBoohaqAYogaKIWqgGKIGiiFqoBiiBoohaqAYogaKIWqgGKIGiiFqoBiiBoohaqCYFaO2/bLtM7a/G8UgAFenyZn6FUnbW94BYEhWjDrJx5LOjmALgCHge2qgmKFFbXu37Tnbc+fOnRvWYQH0aWhRJ9mbZDbJ7PT09LAOC6BPfPkNFNPkR1pvSPpU0i22T9ne1f4sAINa8S90JHlwFEMADAdffgPFEDVQDFEDxRA1UAxRA8UQNVAMUQPFEDVQDFEDxRA1UAxRA8UQNVAMUQPFEDVQDFEDxRA1UMyKF0kYxPz8vI4ePdrGoYdux44dXU/oy6OPPtr1hL6cPn266wmNffDBB11PaGxhYWHZ+zhTA8UQNVAMUQPFEDVQDFEDxRA1UAxRA8UQNVAMUQPFEDVQDFEDxRA1UAxRA8UQNVAMUQPFEDVQDFEDxRA1UMyKUdveaPuA7e9tH7a9ZxTDAAymyTXKFiQ9keSg7b9J+sr2/iTft7wNwABWPFMnOZ3kYO/13yUdkbSh7WEABtPX99S2N0m6XdLnl7lvt+0523Pnz58f0jwA/Wocte1pSW9LejzJb3+9P8neJLNJZqempoa5EUAfGkVte0JLQb+W5J12JwG4Gk2e/baklyQdSfJs+5MAXI0mZ+qtkh6WtM32od7LvS3vAjCgFX+kleQTSR7BFgBDwG+UAcUQNVAMUQPFEDVQDFEDxRA1UAxRA8UQNVAMUQPFEDVQDFEDxRA1UAxRA8UQNVAMUQPFEDVQTJPrfvft7Nmzev3119s49NDt2rWr6wl9OX78eNcT+nLy5MmuJzQ2Pz/f9YSh4EwNFEPUQDFEDRRD1EAxRA0UQ9RAMUQNFEPUQDFEDRRD1EAxRA0UQ9RAMUQNFEPUQDFEDRRD1EAxRA0Us2LUtidtf2H7G9uHbT8zimEABtPkckZ/SNqW5JztCUmf2P53ks9a3gZgACtGnSSSzvVuTvRe0uYoAINr9D217bW2D0k6I2l/ks9bXQVgYI2iTnIxyW2SZiRtsX3rX9/H9m7bc7bnFhcXhzwTQFN9Pfud5FdJByRtv8x9e5PMJplds4Yn1YGuNHn2+wbb1/Ven5J0t6QfWt4FYEBNnv2+UdK/bK/V0n8CbyV5r91ZAAbV5NnvbyXdPoItAIaAb36BYogaKIaogWKIGiiGqIFiiBoohqiBYogaKIaogWKIGiiGqIFiiBoohqiBYogaKIaogWKIGijGS1cAHq5169bl2muvHfpx2zA9Pd31hL7cddddXU/oy2efjc/l4X/55ZeuJzQ2Pz+vxcVFX+4+ztRAMUQNFEPUQDFEDRRD1EAxRA0UQ9RAMUQNFEPUQDFEDRRD1EAxRA0UQ9RAMUQNFEPUQDFEDRRD1EAxRA0U0zhq22ttf237vTYHAbg6/Zyp90g60tYQAMPRKGrbM5Luk/Riu3MAXK2mZ+rnJD0paXG5d7C92/ac7bk2rlAKoJkVo7Z9v6QzSb660vsl2ZtkNsmsfdkrlwIYgSZn6q2Sdtj+UdKbkrbZfrXVVQAGtmLUSZ5OMpNkk6Sdkj5M8lDrywAMhJ9TA8Ws6+edk3wk6aNWlgAYCs7UQDFEDRRD1EAxRA0UQ9RAMUQNFEPUQDFEDRRD1EAxRA0UQ9RAMUQNFEPUQDFEDRRD1EAxRA0U4zau/Gn7P5JODPmw6yX9d8jHbNM47R2nrdJ47W1r69+T3HC5O1qJug29Sw/Pdr2jqXHaO05bpfHa28VWvvwGiiFqoJhxinpv1wP6NE57x2mrNF57R751bL6nBtDMOJ2pATRA1EAxYxG17e22j9o+Zvuprvdcie2XbZ+x/V3XW1Zie6PtA7a/t33Y9p6uNy3H9qTtL2x/09v6TNebmrC91vbXtt8b1WOu+qhtr5X0vKR7JG2W9KDtzd2uuqJXJG3vekRDC5KeSLJZ0p2S/rmKP7Z/SNqW5B+SbpO03fad3U5qZI+kI6N8wFUftaQtko4lOZ7kgpb+8uYDHW9aVpKPJZ3tekcTSU4nOdh7/XctffJt6HbV5WXJud7Nid7Lqn6W1/aMpPskvTjKxx2HqDdIOnnJ7VNapZ9448z2Jkm3S/q84ynL6n0pe0jSGUn7k6zarT3PSXpS0uIoH3QcokbLbE9LelvS40l+63rPcpJcTHKbpBlJW2zf2vGkZdm+X9KZJF+N+rHHIeqfJG285PZM720YAtsTWgr6tSTvdL2niSS/Sjqg1f3cxVZJO2z/qKVvGbfZfnUUDzwOUX8p6WbbN9m+Rkt/+P7djjeVYNuSXpJ0JMmzXe+5Ets32L6u9/qUpLsl/dDpqCtI8nSSmSSbtPQ5+2GSh0bx2Ks+6iQLkh6T9L6Wnsh5K8nhblctz/Ybkj6VdIvtU7Z3db3pCrZKelhLZ5FDvZd7ux61jBslHbD9rZb+o9+fZGQ/Jhon/JooUMyqP1MD6A9RA8UQNVAMUQPFEDVQDFEDxRA1UMz/AJCHGJNNEChMAAAAAElFTkSuQmCC\n", "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a682940>" + "<Figure size 432x288 with 1 Axes>" ] }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[171.67801287 0.72367521 0.95397152 1.9468729 2.26661796\n", + " -3.22904682 85.47495094]\n", + "1.704124894388063 2.2464312597874616\n" + ] }, { "data": { - "image/png": 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+ "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 1440x504 with 1 Axes>" ] }, "metadata": { @@ -320,31 +542,1631 @@ } ], "source": [ - "str_4 = gr_img.copy()\n", - "str_4 = str_4[17:23,605:612]\n", - "plt.imshow(str_4, cmap='gist_gray')" + "str_4 = gr_img.copy()\n", + "str_4 = str_4[18:23,607:612]\n", + "plt.imshow(str_4, cmap='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3, 6, 0.9, 1.4, 0, 0]\n", + "determinar(str_4,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 5" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[164.57072408 1.12967336 1.30573147 4.56858863 4.23103384\n", + " 6.39463879 115.86139744]\n", + "2.660177475704662 3.0747626286144585\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_5 = gr_img.copy()\n", + "str_5 = str_5[347:356,542:552]\n", + "plt.imshow(str_5, cmap='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.4, 6, 0.8, 1.4, 0, 0]\n", + "determinar(str_5,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 6" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[154.74939288 1.06584842 0.86557986 2.09066242 1.67091097\n", + " -1.79900438 106.39500057]\n", + "2.509881229793308 2.038284809401981\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_6 = gr_img.copy()\n", + "str_6 = str_6[295:300,307:312]\n", + "plt.imshow(str_6, cmap='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.3, 5.9, 0.78, 1.7, 0, 0]\n", + "determinar(str_6,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 7" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[140.94787706 1.79851031 2.03013514 6.17006805 5.63716518\n", + " 3.68873831 108.41886214]\n", + "4.235168131706809 4.780602919231583\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_7 = gr_img.copy()\n", + "str_7 = str_7[142:154,387:399]\n", + "plt.imshow(str_7, cmap='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [10, 2, 5, 3, 5, 0, 0]\n", + "determinar(str_7,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 8" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[133.76503279 1.29368943 0.97282715 2.12474538 2.37096544\n", + " 10.63544949 129.69305459]\n", + "3.0464058103768084 2.2908328681370387\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_8 = gr_img.copy()\n", + "str_8 = str_8[459:465,322:327]\n", + "plt.imshow(str_8, cmap='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.43, 6.5, 0.01, 0.5, 0, 0]\n", + "determinar(str_8,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 9" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[188.16928656 0.91808841 1.25701937 2.10259749 3.14037841\n", + " 3.29910297 61.1276509 ]\n", + "2.161933002277811 2.96005440206742\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_9 = gr_img.copy()\n", + "str_9 = str_9[277:284,1071:1076]\n", + "plt.imshow(str_9, cmap='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3, 6, 0.8, 1.4, 0, 0]\n", + "determinar(str_9,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 10" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.12780258e+02 9.98780282e-01 1.13708459e+00 2.28269387e+00\n", + " 2.89718094e+00 1.60170734e-03 6.12198320e+01]\n", + "2.3519478278094055 2.677629596603565\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_10 = gr_img.copy()\n", + "str_10 = str_10[43:49,883:889]\n", + "plt.imshow(str_10, cmap='gist_gray')\n", + "plt.show()\n", + "\n", + "p0 = [700, 3.4, 6, 0.8, 1.4, 0, 0]\n", + "determinar(str_10,p0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Los valores para el Full Width at Half Maximum (FHWM)\n", + "Considere el valor en dirección x & en dirección y. Saque la desviación estándar, el promedio, la mediana y el histograma" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.16735397 2.54663532 5.98601925 1.70412489 2.66017748 2.50988123\n", + " 4.23516813 3.04640581 2.161933 2.35194783]\n", + "1.2025192371430922\n", + "2.936964690381042\n", + "2.5282582730707905\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "FWHM_x = np.array(FWHM_x)\n", + "print(FWHM_x)\n", + "stdx = FWHM_x.std()\n", + "print(stdx)\n", + "meanx = FWHM_x.mean()\n", + "print(meanx)\n", + "medianx = np.median(FWHM_x)\n", + "print(medianx)\n", + "plt.hist(FWHM_x.flatten())\n", + "plt.title('Valores FHWM en la dirección x para escala de grises')\n", + "plt.xlabel('Valor FHWM')\n", + "plt.ylabel('No de imagénes con ese valor')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.37950509 2.36817223 5.74471173 2.24643126 3.07476263 2.03828481\n", + " 4.78060292 2.29083287 2.9600544 2.6776296 ]\n", + "1.1646255434323523\n", + "3.056098753225378\n", + "2.528567342321698\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "FWHM_y = np.array(FWHM_y)\n", + "print(FWHM_y)\n", + "stdy = FWHM_y.std()\n", + "print(stdy)\n", + "meany = FWHM_y.mean()\n", + "print(meany)\n", + "mediany = np.median(FWHM_y)\n", + "print(mediany)\n", + "plt.hist(FWHM_y.flatten())\n", + "plt.title('Valores FHWM en la dirección y para escala de grises')\n", + "plt.xlabel('Valor FHWM')\n", + "plt.ylabel('No de imagénes con ese valor')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Para el canal rojo\n", + "Para extraer el canal rojo, usamos todas las filas, todas las columnas, pero solo el primero de los tres canales\n", + "<br> $img[:,:,0]$" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "FWHM_xr = []\n", + "FWHM_yr = []" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 1" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[178.76060595 0.9511361 1.04253055 2.00150507 2.05170422\n", + " -0.30877778 88.35069654]\n", + "2.2397543569080045 2.454971833929507\n" + ] + }, + { + "data": { + "image/png": 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L47VraTNtGh0//JCJVivz2rdnQUYGVWFhescUf7MYuBt4A3gEeEbfOF4lBXOa2rvdfG63s0HTuMJiwSXlogtTRQXp33xD8owZOK1Wsq+7jp3Dh6NCeajSYOBg164c7NKF+I0bqf/BB4xetYrh2dksyshgbvv2lEZE6J1S/MWbeCb9nwTWAb/oG8drpGBOQxOlmGazUQqcFxZGhZRL3XO7SVq4kMzPPyespIRdZ5zBhksvxR4bq3cy/6FpHG3Xji/PPJNmhYWMyM5maG4ug/PyWJaWxuysLApjYvROKY67CcjEc39MN2CrvnG8QgqmhqKU4jubjRhgSFgYB6Rc6lzc9u1kffgh8Vu2UJSayrKHHqI4JUXvWH5tX0ICHw4Zwg8lJQzLyaH35s3027SJVcnJzMrKYn+Qz1MFgmo8czBr8Ez69wTKdU1Ue1IwNWA8fs52O6U4z2JhvSwFrVMxNhuX5OUxaNo0bDExrB43jj0DB8qS3Bo4EhvLF/3783OXLgxZv57++fn02LaN3KQkZnbsyPbGjfWOGNL2ABcCc/DsWXaBvnFqTQrmVCnFSw4HI9xubjebmRPKY/x1zOB2M2zHDi7euJFwp5NtZ51F/oUX4tRjU8ogURIZyXc9ezKjUycGbtjA4Lw87v/xR7Y2bszMjh3Ja95cFq3oZD5wP/Ay8ADwgr5xakUK5hTd7nRyk8vFKyYTH8mSzzqTfuQI1+Xk0LKkhNwGDZjcsSP9r7lG71hBozIsjF87d2Zu+/b02byZYTk53D5zJnvj45mZlcXa1q1xyxVinXsFz/b+E/FM+s/WN85pk3fKU3Cuy8VzTifTDAYek3KpE/UrK7ly/Xr67tvHkYgI/tOzJyuaNJFP1T5iN5uZn5nJwowMum/bxojsbG6YN4/Dq1czu0MHfk9Lwyk/+3XqeiADz0mYXYGd+sY5LfITcxJd3W4m2+2s0jSut1hQ8gbnUyaXi7O3beO8/HyMSvFNejrfp6Vhlze3OuE2GFielsaK1FSydu1iRHY2ly9Zwjlr1jC3QwcWpadTbbHoHTMkVOKZ9P/jTv/ex/9bIJE/tf+ihdvNtzYbhzSNC8PCqJZy8alOBQVck5tLk/JyVjRpwn87dOCwzLPoQmka2a1akd2yJW0OHGBEdjbnrVjBiHXrWNiuHb9lZlIeHq53zKC3E7gYmIFnW5nP9I1TY1Iw/yBOKabZ7ZjxbL1/RMrFZxqXl3N1Tg5dDx5kf1QUT/fpQ46sZvIPmsbmpk3Z3LQpLQ4fZnhODiPWrWNIbi5L2rZlTocOFMlJmz41B+gAbNQ7yGmQgjkBs1J8abeTrBRnWyxskUlOnwhzOhm7aRPnbt2K02Dg08xMfk1NxSmvt1/a3bAh7w8dSqPiYoZnZzNg40YGbNzIypQUZnXsSEG9enpHDFqBWC4gBfO/lOJNh4OBbjfXms0skeXI3qcUvfft48r160moqmJhUhKfZ2ZyTIZcAsKhuDg+HTiQn7p2ZWhuLn03baLX1q2sa9mSmR07sqthQ70jCj8hBfM3DzqdXOFy8YzJxBSZWPa6pJISrs3JIfPIEXbGxvJq9+5sTkjQO5Y4Dceiovimd29+6dyZwXl5DNqwgU67drGpSRNmduxIftOmsuovxMk76F9c5HTyuNPJ50YjE6VcvCrCbufijRsZvmMHlWYz73fqxNxWrXDLG1DAq7Ba+alrV2Z36EC/TZsYkpvLnb/+yu6EBGZ27Mi6li1RMuwZkuRd9Lg+LhfvOhwsNBgYJ1vve42mFIN27eKyDRuIttmY06oVX7VrR7lsGx90bBYLczt0YEG7dvTYupXh2dncNHcuB2NjmZWVxYrUVFwy5BxSpGCAVLebr+12dmoal1gsOKRcvCKlqIjrsrNJPXaM/Ph4Jvfty864OL1jCR9zGo0sbduWZWlpdN65kxHZ2Vy1aBHnrlnDnPbtWZKeji3IThcVJxbyBZOgFNPtdpzAWIuFYimXWoutruayvDwG795NkdXK6926sVj2tgo5ymBgTXIya1q3JmPfPkZkZ3Ph8uWMXLeO+ZmZzMvMpFKuZINaSBeMVSm+sdtJVIoRYWHsknHiWjG63Qzfvp2LNm4kzOXi+7Q0prZtS7V8Wg1tmsbG5s3Z2Lw5rQ8dYnh2NuesWUO3bdt46ZxzKJPDz4JWyBaMphQfOBx0d7u5zGJhlZRLrbQ7fJjrcnJIKi0lu2FDJmdlcUAOsxJ/s6NRI94ZPpzUAwe4feZMxv/6K6+cfTaVVqve0YQPhOy76lNOJ+e5XDxiMvGDTDyetoTKSu5evpwnFy8mzOnkhZ49eaZvXykX8a+2NmnC28OG0bi4mDtmzCDMbtc7kvCBkxaMpmmTNU07rGlaXl0EqgvXOp3c43TygdHI67Ic+bSYXS7Oy8/n9dmz6VJQwJSMDO4aNoxVcu+DOEWbmjXj/SFDSCosZNysWZidTr0jCS87lSuYT4ARPs5RZ4a6XLzmcDDLYOBuWY5cc0rR9cABXp0zh0s2bmRt48aMHzaMqenp2OVKUNRQbsuWfDxoEKkFBdw0Zw5Gl0vvSMKLTvrxXSm1SNO0lnWQxecy3W4+s9vZqGlcYbHgknKpkUbl5VyXnU3nQ4fYGx3Nk337sr5RI71jiQC3KiUFi9PJlYsWcd28eXx4xhlyyFmQ8Nr4kKZpNwI3Hv9nbz2sVz3pcFAFnBcWRrmfZvRXjcvKeGbhQswuF5906MCM5GRc8iYgvGRp27ZY7XYuXL6cvC1bWNa2rd6RhBd47R1CKfW+UqqrUqqrtx7Tq5Sii9vNLKOR/VIuNVK/spLHlyxBU4qHBg3i59RUKRfhdb+1b8/e+vUZnJcHSukdR3hByLxLNAEaAtnyxlgj0TYbjy1ZQpTdzrOyOkz4kqYxLzOT5kVFpBUU6J1GeEHIvNt2crsBWCdXL6cs3OHgkaVLaVhRwXO9e7NDzvsQPrYyJYUyq9VzFSMC3qksU/4K+B1oo2naPk3TrvN9LO/r6HbjBtbLFcwpMbtcPPD777QsLublnj3Jb9BA70giBDhNJhanp5O1axfxpaV6xxG1dNJ3W6XUJUqpRKWUWSnVTCn1UV0E87aObjebNY1KuYI5OaW4c+VKMo4c4c2uXVmbmKh3Ir9mtNlounQpTX7/Xe8oQWFBRgZK0xi0YYPeUUQthcxdhh3dbhbJfRqnpMeBA/Q4cID/tm/PkqQkveP4NYPdTs8XXqBRTg4AOddcw/azz9Y5VWAriYxkTevW9Nm8mZ+6dpWdlwNYSIwXWZViq8HAMhkeOymj282leXnsjY7ml5QUveP4Nc3ppMfLL9MoJ4e1t9zC/p49yfr4Y1rNmqV3tID3W/v2RNjt9NqyRe8oohZC4h23WtMYGRbGR7ItzEkN3rWLpuXlfJ6ZKTe7/RuXi66TJpG4ejXZN9zAriFDWHnnnRR06UKn99+nxbx5eicMaLsaNmRHw4YMystDkyXLAUveQcSfwpxOLszPJz8+njUy7/LP3G46v/suzZcuZf0VV7BjhGcnJWU2s+LeezmUlUXnt9+m2eLFOgcNbPMyM2lcUkLG3r16RxGnSQpG/OmsbduoV13N5+3byx5t/0Qpsj76iJbz5pF/4YVsHT36//xvt8XC8gceoDAjg66TJsnEfy2sbdWK4ogIzpAlywFLCkYAEGOzMXrzZlY0acLm+Hi94/gnpWj3+eckz5zJlnPPJf/CC0/4Za6wMJY99BDHUlPp/uqrNF61qo6DBgeX0cjCjAza7dtHo+JiveOI0yAFIwAYu2kTYU4nX7Rrp3cUv9X2229p8/337Bg+nLwrr/zXqzxXeDhLH3mEkpYt6fHSSzTMzq67oEFkUXo6DqNRbrwMUFIwgoYVFQzfvp15LVvKVjD/IOXHH8n4+mt2DxxI9vXXn9IQojMykiWPPUZZs2b0fOEFEuRNssbKw8NZmZxMry1biLDZ9I4jakgKRnDxhg24DQa+zcjQO4pfajVrFh3++1/29erF2ltvhRqsrnNER7Pk8cepbNiQ3s89R/1Nm3yYNDjNa9+eMKeTPvLaBRwpmBDXqriY/nv38ktKCkXh4XrH8TtJCxbQ6f33KejShVXjx6NO42Zde2wsi594gqp69ejz7LPU27bNB0mD1774eDYnJjJwwwYMx/cUFIFBCibEXbZ+PWUWC9+npekdxe80XbaMLm+9xaEOHVhx772oWtxRbqtXjyVPPok9Koo+Tz9N7M6dXkwa/OZlZpJQXk7W7t16RxE1IAUTwtofOkTHw4f5rm1bKi0WveP4lcarV9Pttdc4mpbG8gcewO2F16cqPp7FTz6J02ql71NPEb1njxeShoacFi0ojI6Wyf4AIwUTojSluDwvj8MREcxs3VrvOH6lQW4uPV56iZKWLVn28MO4rFavPXZlw4YsnjABt9FIvyefJOrAAa89djBTBgPz27UjraCAZoWFescRp0gKJkT13reP5OJipmRk4JRNQP9Uf9Mmej3/POWJiSx97DGckZFef46KJk1Y8sQT4HbTb8IEIg4e9PpzBKOlbdpQbTLJjZcBRAomBJncbi7ZsIFdsbGyW/JfxG3bRp9nn6UqPp4lEyZgj4722XOVNWvGkgkTMNjt9HvyScKPHPHZcwWLqrAwlqel0W3bNqKrqvSOI06BFEwIGrJjB40rKjwbWsqWMADE7N5Nn6efxh4VxZInnsAWF+fz5yxt2ZKljz+Oubycfk88gbWoyOfPGejmZWZidrvpl5+vdxRxCqRgQozV4eCCTZtY36AB2Y0a6R3HL0QdOEDfp57CbbGweMIEqupwq5zi5GSWPfooYcXF9H3iCcJKSursuQPRobg48po3Z+CGDRhdLr3jiJOQggkx527dSqzNxueZmbKhJRBx+DB9j8+HLJ4wgcrGjes8Q1GbNix7+GEijhyh7xNPYCkrq/MMgWReZiaxVVV02bFD7yjiJKRgQkhcdTXnbNnCsqZN2V6/vt5xdGc9epS+TzyByWZj6YQJlDdrpluWo+3a8fuDDxJVUECfp5/GXFGhWxZ/t7FZMw7GxnqWLMtZMX5NCiaEnJ+fj9nt5kvZ0JKwkhL6PvkkYaWlLH30UUpattQ7Ekeyslh+333E7t5N72eewSQT2SekNI15mZm0OnKE1ocP6x1H/AspmBDRuKyMITt3MrdVKw76cHVUIDCXldHnqaeIOHKEZQ8/zLHUVL0j/elQly6suPtu6m3bRu9nn8VYXa13JL+0PC2NSouFwevX6x1F/AspmBBx6YYNOAwGpqan6x1FV6bKSvo8+yzR+/ax/MEHOeqHG3wW9OjBqjvvJH7zZno9/zwG2UX4f9jMZpa0bUvnnTuJKy/XO474B1IwISClqIje+/fzU1oaxV68Kz3QGG02ek+cSNz27ay8914OZ2XpHekf7e/ThzXjxtEgL4+eL72E5nDoHcnvLGjXDg0YuHGj3lHEP5CCCXbHt4QpCQvjRz8aCqprBoeDni+8QPymTaweP56Cbt30jnRSewYOZN2NN9J47Vq6v/oqmtOpdyS/cjQ6mpwWLeiXn49ZXhu/JAUT5DoeOkTmkSN827Yt1bXYDTiQaU4n3V9+mUY5Oay99Vb29e2rd6RTtmvYMLKvu46mK1bQddIkkHs//o/fMjOJstnoLkcg+CUpmCBmOH71cjAykrmhuqGly0XXSZNosmoV2ddfz+7Bg/VOVGM7Ro5k/ZVX0nzpUrq8/TbImSh/2pqYyN74eM5Yv16WLPshKZgg1nfPHlqWlPBVu3Y4a3AKY9Bwu+n87rs0X7qU9VdcwY4zz9Q70WnbOmoUGy65hBYLFtDpvffkzfQPx5csNz12jDayM7XfCcF3ndBgdrm4ZONGtsfFsUzHGwh1oxRZkyfTct488i+4gK2jR+udqNY2n38+m8aOpdXcuXSYPFlK5riVycmUWq1yVowfMukdQPjG8B07aFBZydtduqBCbUsYpWj3+eckz5jBlnPPJf+ii/RO5DUbL70Uo8NB6k8/4TabybviipDf8sdpMrE4PZ0z160jobSUwpgYvSOJ4+QKJghFOByct2kT2Q0bsr5hQ73j1Lk2331Hm++/Z8ewYeRdeWVwvQFrGuuvuortI0aQ9sMPpH/9td6J/MLCjAyUpjFIrmL8ihRMEBq9eTPRdjtftG+vd5Q6l/LTT7T76it2DxxI9g03BFe5/EHTyLnuOnadcQbp335Lm+++0zuR7koiI1mdnEyfzZsJs9v1jiOOk4IJMvWrqjhr2zYWN2/Ozjo408SftJo9mw6ffMK+Xr1Ye+utEMwLGwwG1t50E3v696fdl1+S8uOPeifS3bzMTMIdDnpv2aJ3FHGcT+ZgjEYjMTIOesrOO+88rz1Wtw8+wAQcu+cezgvS4bGxY8f+73/87DN4/3046yyaTZtGM4ul7oPpYcwYuPRSOvz3v3To1g3GjfufL6msrNQhmD6O5OUxcscOnDfdVKsPGF9++aUXUwW3f/v5CuKPeKEnev9+Wi9YwLahQ6kI0nI5oalT4eqrYdAgzz+HSrkAmEzwxRdw7rlw223w0Ud6J9LVpmHDiDl4kKa5uXpHEUjBBJWsr7/GZbWyIQiW5J6yX36BSy6Bnj3hhx8gFPdaM5vhm29gxAi44QZP4YSoPd26UVGvHm1mzdI7ikAKJmgkbNlC89WryT/7bGyhMjw5bx6cdx5kZcGvv0JUlN6J9BMWBtOmwcCBcOWV8O23eifShTKZ2DJkCE3y8ojdv1/vOCFPCiYYKEXWV19RFRfHpgC+W71Gli3zDAulpsKsWRAbq3ci/YWHw08/Qe/ecOmlEKIT/9sGDcJpNtNm9my9o4Q8KZgg0GTtWhpu3sz6887DFQpDRGvWwJlnQtOmMGcOxMfrnch/REZ6hg07d4YLLoCZM/VOVOds0dHs6t2b1kuWYJGzYnQlBRPgNJeLjlOmUJqYyI4BA/SO43Oxe/fCsGFQrx7MnQuNG+sdyf/ExHiKpV07GDOGRhs26J2ozm0aPhyT3U7KggV6RwlpUjABrtXixcTu30/ORRehTMG9809UQQGDJk70TOT/9hs0b653JP9Vrx7Mng0pKQx65RUabN6sd6I6Vdy8OQfT02kzdy6aHHGgGymYAGa022k/dSqFKSnsC4ADtGoj4sgRBk+ciKaU58olOVnvSP4vIQHmzqUiPp5BL71E/PbteieqU5uGDyfy6FGar16td5SQJQUTwNJmzSKiqIjsSy4Jzi1Rjgs/dozBzz6LuaqK+Q89BOnpekcKHI0aMffBB7HFxDD4xRept2uX3onqzP5OnShr0IC2MtmvGymYAGUpLyfjhx/Y36kTR4L4DTestJRBEydiLS1lwYMPUtyihd6RAk5V/frMfeghHOHhnPHCC555rBCgDAY2Dx1Kwy1bqL9zp95xQpIUTIDK+OEHzFVV5ATRVvR/Zy4vZ9BzzxF55AgL77uPoykpekcKWBUJCcx96CHcZjNDnn+emIICvSPVie0DBuCwWmkrN17qQgomAEUUFpI2ezY7+/WjJClJ7zg+YaqqYuCLLxKzfz+L7747qK/S6kp5o0bMfegh0DSGPPccUYcO6R3J5xwREWzv148Wy5djLS7WO07IkYIJQO2nTgVg/fnn65zEN4w2G/1feon6O3aw9I47ONihg96RgkZpYiJzH3gAg8PBkOeeI7KwUO9IPrd56FCMLhdp8+bpHSXkSMEEmNg9e2i1eDFbhg2jMiFB7zheZ3A46PfqqzTctInlt97K/q5d9Y4UdEqaN2feAw9grqpiyHPPEV5UpHcknypLTGR/Vhapv/2GweHQO05IkYIJMFlff40jPJyNo0bpHcXrNKeT3m+8QWJuLitvuIHdvXvrHSloFbVsybz77iOstJQhzz+PtaRE70g+tWn4cMJLS2mxYoXeUUKKFEwAaZCfT9N169g4ahT2INvYUXO76fnuuzRfvZrVV13FjoED9Y4U9I6mpDD/3nuJPHqUM55/nrCyMr0j+UxBZibFTZp4JvuV0jtOyJCCCRRK0fGrr6isX58tw4frnca73G66ffghLZctI/vii9kabL8/P3akTRvm33030YcOccYLL2CpqNA7km9oGpuHDSN+1y4ayImXdUYKJkA0W7WKhG3bWH/++biC6UAtpej82WckL1hA3pgx5J97rt6JQs6hdu1YeOedxO7fz6D//AdzVZXekXxiR58+2CIiZMlyHZKCCQCa00nW119T0rQpO/v10zuOV3X4+mvazJrFpjPPDNpVcYGgoEMHFt9+O/G7djHopZcwVlfrHcnrXFYr2wYOpPmaNUSEwOo5fyAFEwBaL1xITEEBORdfjDIa9Y7jNRnff0+7H39k6xlnsO7yywN3u5vdu+Gqq+Cee8Dp1DvNadvXuTNLbrmFhK1bGfjqqxjtdr0jed2WoUNBKdrMnat3lJAgBePnjNXVtP/uOw63acP+zp31juM1bWbMIOubb9jZty+rr7kmcMvlwAE44wz49FN45RW45hoI4N179/Towe833UTj/Hz6v/560C3rrUhIYG/XrqQsWBCUV2n+RgrGz7WdMYPw4mJygmhDy+TffqPzZ5+xp3t3Vtx0ExgC9MfwyBEYMgQOHYLly+GZZ+Dzz+Hmm8Ht1jvdadvZpw/Lr72Wprm59HvzTbQAvio7kU3DhxNWUUHrZcv0jhL0AvRPdmgIKy0l/eef2du1K4VpaXrH8YqWS5bQbfJk9nfqxO+33Ra4Q37HjnkOPtu1C37+GXr0gEcegUcfhQ8/hPHjA3o57PaBA1l51VU0X7uWvu+8E1RnqhxJS6OoRQvPkcoB/D0KBFIwfqzd999jrK4mN0g2tGy2ciU93n2XQxkZLB0/HnegHpBWVuY5snnDBpg+Hf56kuhTT8G998Kbb8J99wX0G9iWIUNYfemltFi5kl4ffIAWwFdl/4emsWn4cOL276dxXp7eaYJagP4JD36Rhw+TMmcOOwYOpLRpU73j1FriunX0fuMNjqaksPieewJ3qXVlJZxzDqxeDVOnwt/v2dE0ePFFqK6Gl1+G8HB4+ml9snrBpjPPxOhw0Onbb3GZzay45prAHdL8i109e9JpyhTazp7Nwfbt9Y4TtKRg/FSHb79FGY3knXee3lFqreGGDfR97TVKmjdn4f3347Ra9Y50emw2OO88WLQIvvgCRo8+8ddpGrz+uqdknnkGwsI8Q2cBasO552J0OOjw/fe4TSZWXXllwM8Hus1mtg4eTIfvvyf64EHKGjfWO1JQCvyPIkGo3q5dtFy6lM0jRlBVv77ecWolYcsW+r/0EuWNGjH/wQdxREToHen0OJ1wySUwcyZ88IHnn/+NwQDvvgtXXAGPPQYvvVQ3OX0kd+xYNowcSZu5c+n81VcBPfT3hy1nnIHLaPTMxQifkCsYP5T11VfYoqLIP+ccvaPUSr2dOxnw4otU1avH/Icfxh4To3ek0+Nyee5zmT4dJk2C6647tV9nNMLkyZ4rn/vuA6sVbrvNt1l9RdNYd/HFGB0OMmbMwGU2k3PBBXqnqpXquDh29+xJ8uLF5Jx/fuB++PFjcgXjZxqtX0/i+vVsGD0aR2Sk3nFOW8y+fQx67jnsERHMf+QRquPi9I50epTyLDv+8kt47jm4/faa/XqTybN0edQoz6/98EPf5KwLmsbqK65g66BBtP/xRzK//17vRLW2adgwzNXVJC9apHeUoCQF40/cbrKmTKE8IYGtQ4fqnea0RRUUMHjiRFwmE/MfeYTK+Hi9I50epeDOOz2l8Mgj8OCDp/c4ZjN8/bVn5dmNN8Jnn3k1Zp3SNFZcfTXb+/al43ffkf7LL3onqpWi1q05nJpKmzlzgmeVnB+RgvEjScuXE79zJ+svuAC32ax3nNMSceQIgydORHO5mP/ww5Q3aqR3pNP36KOeIbE776z9SrCwMPjuOxg0CK6+Gr75xhsJ9WEwsPyGG9jVowddpkwhbc4cvRPVyqbhw4k+fJim2dl6Rwk6UjB+wuB00uGbbziWlMTuPn30jnNawo8dY/DEiZirqpj/0EOUNmumd6TTN3Gi568bb/RsAeONVVPh4fDjj9C7N1x6KQTwEJMyGFh6883s6dKF7p9+Ssr8+XpHOm17u3Shon592sguy14nBeMnkn/7jejDh8m55BJUAN5nEFZayqCJE7GWlLDgwQcpbtlS70in77XXPENil18O77zj3SW5kZHwyy/QtStceCHMmOG9x65jymRiybhx7M/KosfHH9NqyRK9I50WZTKxZcgQEjduJG7vXr3jBJXAeycLQqaqKjKnT+dQRgYFHTroHafGzBUVDHruOSKPHGHhffdxNCVF70in74MP4K67PPe7fPyxb24qjInxLHdu3x7GjoXffvP+c9QRt9nMwjvu4GBGBr3ef5+kAD2SeOvAgTgtFlmy7GUn/dOjaVpzTdPma5q2UdO0DZqmja+LYKGk7S+/YC0tJTsAN7Q0VVUx8IUXiNm3j8V33cWR9HS9I52+L76Am27yTMZ/+aVnBZivxMXB7NmQmgrnnguLF/vuuXzMbbGw4M47OZKWRt+336bZ6tV6R6oxe3Q0O3v3ptXSpUF9dHRdO5WPZ07gHqVUBtATGKdpWoZvY4WOBi4XbX/5hT09elCUnKx3nBox2u30f/ll6u/YwdI77uBgVpbekU7f9Omee10GDvRMxtfFVjbx8TBnDiQlwciRnh2ZA5TLamX+PfdwtHVr+r35Jk0CcMJ807BhmByOgJ5P8jcnLRilVIFSau3xfy4D8oHA3xzLT9xdUYHR6STnwgv1jlIjBoeDvq++SsP8fJbfeiv7u3XTO9LpmzEDLroIunf3TMKHh9fdczdqBHPnev4+YgSsXVt3z+1lzvBw5t17L8XNmzNg0iQab9igd6QaKWnenIJ27UibOxdTEOxU4A9qNMCsaVpLoBMQmAOt/kYpLqqqYk+PHpQnJuqdpkaar1xJk5wc8s85h929e+sdp3ZuvdWzjPjnnyEqqu6fv2lT+OknKC2Fu++u++f3IkdkJPPuvRelaXT/5BO949TY7h49iDx2jA5yT4xXnHLBaJoWBXwH3KmUKj3B/79R07TVmqatdss359RoGnlmM7H79+udpMb2d+pEaePGtFy0CGtJid5xaufBB6G8HP7zH32eXyl4/HHP/NsDD+iTwYvSZ83CZLez8ayz9I5SY81Xr6YqNpa8AFzJ6Y9O6VXUNM2Mp1y+UEpNO9HXKKXeV0p1VUp1Ncg355T9EhZGvd27iTp4UO8oNeKMiGDpnXdiqaig15tvBvZd0Dfd5NkO5vnn4auv6v75n37as/X/iy96FhgEsOarVpH5009sHTSIbQMH6h2nRmL37aNpbi6bhwzBHmCLbfzVqawi04CPgHyl1Cu+jxRafjm+dX3zlSt1TlJzxUlJrL7mGhpv2EDm1Kl6x6md11+Hfv08G1nW5TzItGkwYQJceWXAD4/F7N9P7/ff50hyMquuuELvODWWPnMmTouFLWecoXeUoHEqlxp9gCuAwZqmZR//a6SPc4WMfUYjR1u3DsiCAdg5cCDbBw4k8/vvSQzAlUN/slg8VxEJCZ6NKQ8d8v1z5uR4tvPv2RPeey/glqj/lbmqigGvv47TYmHxHXcE3FZH1pISWi1dyvZ+/bBHR+sdJ2icyiqyJUopTSnVQSnV8fhfv9ZFuFCxt3t34nfsIOLIEb2jnJY1V1/NsaQker39NhGFhXrHOX0NG3q2bzl6FM4/H+x23z3X4cOe+1/q1fNcxQTqIWwAbje93nuP6EOHWHzbbVQG4BlGaXPnYnC52PT3E0pFrchkiR/Y27074Bm/DkQui4Ul48djcLnoM2kSBqdT70inr3NnzxkuS5bAHXf45jnsdk+BHT4MP/wAAbaC8O/a/fwzSWvWsObSSzkcgDfaGu120n77jX2dOlEW4N8LfyMF4wfKGzfmWIsWATtMBlCemMjym24iYds2On7xhd5xaufiiz0ry957z3MqpTcpBePGee7c/+QT6NLFu49fxxJzc+k4dSo7e/Vi87Bhesc5La2WLMFaVkb+iBF6Rwk6UjB+Ym+3bjTYsoXwoiK9o5y2fd27s+nMM2kzaxbNA/iudACeecZzd/3tt4M3D6N6883/f77MRRd573F1EHX4MH3ffpviZs1Yft11gTmH5HaTPnMmR1u14nDbtnqnCTpSMH5ib48eADQL0GGyP+RccgmFKSn0eP99og8c0DvO6TMaPfuRJSd7hrN27679Y86d69lIc9QoeOqp2j+ejow2G/1ffx2UYuGdd+IKC9M70mlpmpNDbEGB5+olEAvSz0nB+InSpk0pado0YOdh/uA2mVg6fjxuk4m+r7+O0WbTO9Lpi431zJHYbDB6NFRWnv5jbd3q2Z4/Pd1zomUg3yumFD0nT6be3r0sGTeO8oYN9U502tJnzKCifn12H58HFd4VwD/lwWdv9+40yM8nLMDvjK+Mj2fZuHHE7ttH148/9sw7BKo2bTw3X+bkwLXXnt7vpaTEs2LMYPDsdRbgy2DbzJ5Nq2XLyDnvvIA8XuIP9XbtonF+PpuHDUP5cufsECYF40f2du+OQamA3O787w5mZZE3ZgytFy2i9YIFesepnZEj4bnn4Ouv4YUXavZrXS7P6ZXbtnnus2nVyjcZ60jDTZvo8tVX7O3cmbxzztE7Tq2kz5yJw2pla4DtOBBIpGD8SHFSEmWNGgX0arK/2jB2LAczM+n6ySfE7dqld5zauf9+z+qyhx/2nEh5qh56CH79Fd54w3MUQAALLyqi3xtvUN6gActuuimgh/kiiopouXw52wYMwBEZqXecoBW4PyHBSNPY2707jTZuxFJerneaWlMGA8vGjcMWFUXf11/HXJs5DL1pGnz0EXTs6Lki2bTp5L/ms888G2jeeqtnr7MAZnA46P/GG5jsdhbeeSeOiAi9I9VK2pw54HazKUCXVgcKKRg/s7dHDwwuF03XrNE7ilfYYmNZescdRB45Qo/33gvs+ZiICM+d/mFhnpVgxcX//LUrVsANN8CgQfDaa3UU0He6fv45DbZtY9mNN1LSNLCPgzJVV5M6bx57u3alIoAXKAQCKRg/U9SqFeUJCUEzTAZQ2KYNOZdcQvNVq2gzY4becWonKclz4uWOHZ4rGZfrf79m/37PqrMmTeDbbyHA9uX6u+SFC0mbN4+8s89mbyAfLHdc8qJFhFVWkj9StlT0NSkYf6Np7Ovencbr1wf2kNLfbBo5kr1du9Lxq69I2LJF7zi106+f54bJGTM8N0z+VVWVp1zKyz2HiMXH6xLRW+J37KD7f/9LQbt25Fxwgd5xak1zu2k7axZHUlIoTEnRO07Qk4LxQ3u7d8fodNIkgI/P/R+axoqbbqIiPp4+kyYRVvo/Z9YFlj/OkHnhhf9/hoxSnu3+16zx3KTZrp2+GWsprKSE/pMmURUby+Jx41ABPKn/h2Zr1hB9+DAb5eqlTgT+T0wQKkxJobJevYC/6fLvHJGRLL3zTsLKyuj11luBfUgZ/P8zZK691lMqfxxY9uyzEOBLeDWXi35vvUVYaSmLxo8Pmi3s02fMoKxBA/YF+B5wgUIKxh8ZDOzr1o3E7GxM1dV6p/GqYy1bsvrqq0lcv55206frHad2/jhDpkEDGDHCM1x2ySWejTIDXKdvvqFxfj4rrr2WopYt9Y7jFQnbttFw61Y2DR8eFFdjgUBeZT+1p0cPTA5HYB/i9Q92DBzIzn79yJw2jca5uXrHqZ0/zpCpqPDsjPzRRwG/p1WL5cvJ+PVXNg0dys6+ffWO4zXpM2Zgj4hg+4ABekcJGVIwfqqwTRuqY2KCajXZnzSNVddcQ0mzZvR66y3Cjx7VO1HtdO4M+fmwYAGEh+udplZi9+6l1wcfcDgtjbWXXqp3HK+JPHyY5qtWsXXQIJyBfLhbgJGC8VPKYGBf1640WbcOoy9PVtSJy2plyfjxGB0O+kyahBbIh5QBtGgBAX5HuLmiggGvv449IoLFt9+OO4j252o7ezYYDAF7Zk2gkoLxY3t79MBss9E4J0fvKD5R1qQJK2+4gQZbt9Lxj5VYQh9uN33efZfIwkIW3X47VXFxeifyGnNFBSkLF7K7R4+APM45kEnB+LFD6enYIiODbjXZX+3p1Ystw4bRdsYMmgXjcGCAaP/99zTLzmbN5ZdTmJamdxyvSlmwAHN1Nflnnql3lJAjBePHlMnE/q5dabpmDQaHQ+84PrPusssoTE6mx3vvEXXwoN5xQk7TdevImj6d7X37suWMM/SO41Wa00nb2bM5mJ4eNKvhAokUjJ/b2707lqoqGuXl6R3FZ9xmM0vvuANlNHoOKQvCOSd/FX3wIH3efZejLVuy8pprAn4F3N+1WLWKyKIiuXrRiRSMnzuYmYk9PDyoh8kAKhs04Pdbb6Xe7t10+eQTveOEBFN1NQNeew23wcCi8eNxWSx6R/IupUifMYOSxET2Z2XpnSYkScH4ObfZzIHOnWm2enXgr7Q6iYKOHckbPZrkBQtotXCh3nGCm1L0/PBDYg4cYMm4cVQkJOidyOsabt5M/M6dbBoxIqDPrglk8qoHgD3duxNWXk7D/Hy9o/hc3vnncygjg64ff0zsnj16xwla6TNm0HLFCrIvvJCDmZl6x/GJ9BkzqI6KYkefPnpHCVlSMAHgYFYWjrCw4Lzp8m+UwcCy227DHhFB39dewxREO0r7i0YbNtBpyhR2d+vGxrPO0juOT0QXFNBs3Tq2DBmCKyxM7zghSwomALgsFg506kTzVasCf4PIU1AdF8ey228n6vBhenzwQWAfUuZnIgoL6ffWW5Q2acLvN9wQdJP6f2g7axZuozHoVsUFGimYALG3e3espaUkbN6sd5Q6cSQ9ndyLLiJpxQpSZ8/WO05QMNjtDJg0CYPTycLx43EG+LY2/8RSVkby4sXs7N2b6iC6YTQQScEEiIKOHXGazSExTPaH/LPOYl+XLnT6/HPit27VO05gU4ru//0v8Tt3suzmmylLTNQ7kc+kzZuHyW4nf8QIvaOEPCmYAOG0WinIyvIUTAgMkwFgMLD8ppuoql+fPpMmYSkr0ztRwEqdP5+URYvIHT2afZ076x3HZwwOB23mzOFA+/aUNG+ud5yQJwUTQPZ2707EsWPEb9umd5Q644iKYsn48VhLSuj19tuhU65elLB1K10//ZT9HTqwfswYveP4VMvffye8pISNcmOlX5CCCSAHOnfGZTSSFELDZADHWrdm7ZVX0iQnh3Y//KB3nMBy8CD933iDyvh4lt56a3AftKUU6TNncqx586Bdeh1ofLYft8vl8tVDB51VNbhLPz0picQlS1iVlha0K4BOZFVMDIa2bek0dSprXnyRY0E8zOMtmtNJ5/vvJ6KsjDcuvJADGzfqHcmn2uzZQ729e/liyBBWrV6tdxyBXMEEnNzUVOqXltLs0CG9o9QtTePbM87gcL16ZD73HJbCQr0T+b3U996j3vr1TDnjDA4E4Z36fzdo7VpKIiJYE2S7QQcyKZgAsyE5GZfBQFYIzcP8wW6x8MnZZ2Osrqb9s88G/dY5tdF47lySvv+e3eedx9o2bfSO43OJR4+SvmcPi7OycAXRQWmBTgomwFRarWxr1owOW7eG5A2Ih+Pjyb/rLurl5ZH88cd6x/FLUdu2kf7aaxzr0IFt11+vd5w6MXDdOuwmE0tl7sWvSMEEoJzUVBoUF5MYosNEhwYPZu8559Dym29osGyZ3nH8iqm0lKwnn8QRHU3uo4+iQuDTfHRlJV03bWJlejqVQXrzaKCSgglAeSkpuDXNcxUTorbcfDMlaWlkvPgi4QUFesfxDy4X7SdOJOzoUXIffxxHvXp6J6oTfXNzMbjdLOjYUe8o4m+kYAJQeUQEO5o2JSuEC0ZZLKx/9FHQNNo/9RQGOaSM5P/+l/g1a9h0222UpqfrHadOmJ1O+ubmsqFVK46ESKEGEimYAJWbmkrjoiIaHj2qdxTdVCcmsuH++4nZto20t9/WO46uGixZQquvvmLfyJEcGDlS7zh1plt+PlHV1czv1EnvKOIEpGACVG5KCgAdQnA12V8V9urFrosuotkvv9B47ly94+giYs8e2v3nP5S0bcvmceP0jlNnNKUYmJ3NnoYN2d60qd5xxAlIwQSo0qgodiYmhvQ8zB+2X3MNx9q3J/3114nctUvvOHXKWFFB1hNP4LZYyH38cVSwHXv8LzJ27aLRsWMs6NQppG46DiRSMAEsNzWVZkeOEF9crHcUXSmjkfWPPIIzPJwOTz2FsapK70h1w+2m3X/+Q/j+/ax/9FFsDRronahODVq7lmNRUaw7fjUv/I8UTADLTU0FkKsYwB4fT94jjxCxfz/pr7wSEvcItfz6axouXcq2G2/kWFaW3nHqVLPDh0ndv59FWVm4jUa944h/IAUTwI7FxLCnUaOQXk32V8eysth+9dU0XrCAZj/9pHccn6q/ejXJH3/MwUGD2DN2rN5x6tygdeuoNpv5XW6s9GtSMAEuNzWVpEOHqFdaqncUv7Drooso7N6dtHffJSZIT/+0FhTQfuJEylu1YuNdd4Xc/ENsWRmdtm5lebt2VIWF6R1H/AspmAD3xzBZ+xBfTfYng4G8Bx7AVr8+7Z9+GlOQFa+hupqsJ58EpcidMAF3CN653j83F00pFobYsGAgkoIJcIVxcexv0EDmYf7CGRPD+kcfJezoUdr95z/Bc0iZUqS/9hpRO3aQ99BDVDVponeiOmex2+m9fj05yckUxcbqHUechBRMEMhNSaH1gQPElJfrHcVvlLZty5abb6bB8uW0+OYbveN4RfMffiDxt9/YceWVHO3eXe84uui5cSMRdrvcWBkgpGCCQI4Mk53QvnPP5eDAgaR8/DH1cnL0jlMrcevXk/ruuxzp1Yudl16qdxxdaG43A7Kz2ZGYyO7ERL3jiFMgBRMEDsfHc7B+fVlN9neaRv5dd1HZtCmZzz6LJUC31QkrLKT9009TlZhI3gMPQDAfe/wvOuzYQUJpqefGShEQQvMnNQjlpqbSev9+oior9Y7iV1wREeQ+/jimqiraT5yIFmBHeWt2O+2P3zya+8QTuCIj9Y6km4Hr1lEYE0Nu69Z6RxGnSAomSOSmpmJQikwZJvsfFS1bkn/HHdTLzaX1J5/oHadG2rzzDnH5+Wy87z4qWrTQO45uWhQU0LqggIUdO6JC9AouEMl3KkgcSEjgSFxcyG9++U8ODh3KvrPOotWUKSQsX653nFPSZOZMmv38M7suvJDD/fvrHUdXg9ato9JiYXlGht5RRA1IwQQLTSM3JYXUvXuJqK7WO41f2nLrrZSmpNDuxRexHjyod5x/Fb15M20mTeJo585sv/ZavePoqn5JCVnbt7OsfXvsIbSZZzCQggkiOampGN1u2m3frncUv+S2WFj/2GPgdtP+6afR/PSQMnNxMVlPPom9fn3yHn4YFeJ7bQ3IyUFpGos6dNA7iqghKZggsq9RI4piYuSmy39R1aQJG++7j9gtW0h77z294/wPzeWi/bPPYi4pIXfCBBwhfjNhuM1Gzw0bWJeaSkl0tN5xRA1JwQST48NkbfbsIcxm0zuN3zrSpw+7LriA5j/+SKP58/WO838kf/QR9bOz2TR+PGXH728KZb3y8rA6HHJjZYCSggkyuampmFwu2u3cqXcUv7b92ms5lplJ+iuvELF7t95xAGi4cCEtv/2WveecQ8GwYXrH0Z3B5aJ/Tg5bmzZlX8OGescRp0EKJsjsTkykJDJShslOQplM5D3yCG6rlQ5PP41B50PKInfuJOOllyjOyGDLLbfomsVfdNq2jXrl5czv3FnvKOI0ScEEGaVp5Kamkr5zJxY/ncT2F7aEBNY/9BCRe/aQ/vrruh1SZiovJ+uJJzw3hT72GMps1iWHX1GKQWvXcqhePTa2bKl3GnGapGCCUG5qKmaXi/QQO5/+dBzr3JkdV15J4m+/0fTXX+s+gNtNuxdewHroELmPPYY9IaHuM/ih5P37aX7kCAs6dkSF2Hk3wUQKJgjtaNKEsogIGSY7RTsvvZTCrl1p89ZbRNfxa9bqiy9osHw5W265hRI5nfFPg9ato9xqZVV6ut5RRC1IwQQhZTCwPjmZjJ07MTudesfxfwYDGx58EHtcHO2fegpTWVmdPG38ihW0/uwzDgwdyr5zz62T5wwEDY4do93OnSzp0AGHyaR3HFELUjBBKjc1lTCHgzQ/WSHl7xyxseQ++ijWI0fIeOkln8/HhO/fT+Zzz1GWnMym8eND7tjjfzMwOxu3wcASubEy4EnBBKltzZpRYbWStWWL3lECRmlGBltvuomGy5aRNHWqz57HWFVF1hNPoAwGz7HHcq78nyKqquien8/qtm0pi4jQO46oJSmYIOU2GslLTqbdzp0YZZjslO0dPZpD/fuT8uGHxK1f7/0nUIr0V14hcs8e8h55hOrGjb3/HAGsT14eFqdTbqwMElIwQSw3JYVwm420vXv1jhI4NI2Nd99NVWIi7Z95BsuxY159+KTvvqPxggVsu+Yairp08epjBzqj00m/nBzyk5I4GB+vdxzhBSctGE3TrJqmrdQ0LUfTtA2apj1ZF8FE7W1JSqLKYpHVZDXkioxk/eOPYyovJ3PiRPDSIWX1srNJ+eADDvXrx+6LLvLKYwaTLlu2EFtZKTdWBpFTuYKxAYOVUllAR2CEpmk9fZpKeIXLZGJj69Zkbt+OIcBOctRbeevWbLrjDupnZ9P6s89q/Xhhhw/T/plnqGzWjI333iuT+n+nFIPWreNAfDybmzfXO43wkpMWjPIoP/6v5uN/6XPLs6ixnNRUIqur6ZObq3eUgFMwfDj7R4yg9RdfkDlxIuH799f8QZSiwZIldLvzTgwOh+fYY5m8/h99c3NpcvQoCzp1kvINIqe0yFzTNCOwBkgB3lJKrTjB19wI3AhgkCNN/caG1q3Ja92aUQsWUBoRQU6bNnpHCiibb78de1wcSd9/T8OFCzlw5pnsvPxybKdwx334/v20eestElatoqxVK3Ife4xK+XT+Pzpt2cJ5CxeyoWVLVrVtq3cc4UWnVDBKKRfQUdO0OGC6pmmZSqm8v33N+8D7AGazWa5w/IQyGPjsrLO46bvvuGzmTKqsVraE8NnuNeW2WNh+3XXsHTOGVl9+SdNffiFx9mz2jRrFrosvPuF5LYbqalpOmULLb77BbTaz+ZZb2DdqVMgfHHYi6bt2ccXs2exo0oSPR47ELR9Og0qNvptKqWJgPjDCJ2mETzhMJj4cNYrD9etzzU8/keTnxwX7I3v9+my+7TaWTZ7MoYEDSZo2jT5XXkmrzz7DWFn559clLFtGrxtuoPUXX3Cof3+WTZ7M3rFjpVxOoNWBA1z7668ciI/ng3POkbv2/0Unl0u3zVhr41RWkTU4fuWCpmnhwFBgk49zCS+rtlp5b8wYyiIiuH76dBoWFekdKSBVJyay8f77Wf7++xR17kzyp5/S58oraTFlClmPPUbHCRNwhYWx5qWXPNvPyHLbE2py5Ag3/vgjx6KieHfUKKrlZtN/1NfpZEFVFdcG4P1sp3IFkwjM1zQtF1gFzFFK/ezbWMIXyqKieG/sWNwGAzdNm0ZcHe25FYwqWrQgd8IEVr75JmXJyaR+9BH1cnLYcuONrHj3XY5lZekd0S+ZHQ5GLF/OXd9+i81i4Z0xYyiXRQ//KE4pPrDZ2K5pTAnAK7yTJlZK5QJyW22QOBoXx/tjxjDu22+5cdo03rzwQirDw/WOFbBK27Rh3QsvELVjB/a4OOz16+sdyT8pRectWzh36VLqlZezNjWVH/r2pTg6Wu9k/kspXrfZaKQUZ4SHUxmAq+tkRi0EHWjYkMmjRhFfUsIN338vB5N5QXnr1lIu/yDp0CHGT53KVbNmUR4ezuvnn89/zzxTyuUkLnU6Get08ozFwroAncMLvGsu4RXbmzXj07PO4pqffuLqn3/mo1GjcAXoD7HwTzHl5ZyzbBndN22iNCKCL884g5UZGXKA2Clo7Xbzks3GIqOR1wL4hFMpmBC2ITmZb4YM4eI5c7hk1iy+OPNM+cMvas3kdDJo3TqGrl6N0eViTpcuzOnWDZvFone0gGBSig+rq3ECN4aF4Q7gP5NSMCFuZWYmkVVVnLNkCZVWK9MGDZI7qcXpUYqsbdsYtXQp8aWl5CQn80Pfvhw9wb1C4p89YLfTze3mCquV/QF+X5AUjGB+t25EVVUxaM0ayiMimN1TtpoTNdP08GHGLlpEyoED7E9I4I0xY9gmuxbUWG+Xi/scDj43mfg+AFeN/V3g/w6EV/zUrx+RVVWM+P13ysPDWSbLbMUpiK6sZOTvv9NzwwYqrVa+HjSI39u1QwX4J289xCrFB9XV7NI07guS+4KkYISHpvHN0KFEVFczdt48KqxW2bdM/COj08mAnByGr1yJ2eViYadOzOrenaogeWPUw8s2G02UYmh4OOVBMkwtBSP+5P7bvmWxFRUsz8zELpOz4g9KkbljB6OXLKFBSQl5LVvyfb9+HKlXT+9kAe1Ch4OLnE6eslhYHUSrOaVgxP/xx75l1/z8M6MXLmTY8uX83r49Szp1oiQqSu94QkeJR48yZtEi2uzdS0H9+rw9ahSbZePUWmvhdvOqzcYyg4GXA3hJ8olIwYj/UW218s7559OioIABa9YwaM0aBqxdy7o2bVjYpQsHGjTQO6KoQ5FVVYxcvpzeeXlUWSxMHTCApZmZuIPok7ZejMeXJCvgeqs1oJckn4gUjPhHuxMT+fTss6lfXMyAdevovmED3fLz2ZyUxMIuXdjUooUsaQ5iBpeLfuvXM2LFCsLsdpa0b8+MHj1kayEvutfhoKfbzTVhYewNwoURUjDipIri4pg+aBAze/WiV24u/bKzuXH6dAri41nYuTNr2rbFFQRLKsX/l75rF6MXL6bxsWPkJyXxfb9+HJSdob2qu8vFg3Y7X5lMTA2yobE/yLuCOGVVVivzundnYZcudNq8mYFr1nDxnDmMXLqUJR07sqxDB/l0G+AaFhUxZvFiMnbv5nBcHO+fcw4bWraUK1Uviz4+NLZP07g3iFfeScGIGnMZjazOyGB1ejqpe/YwcO1aRi5bxpCVK1mVkcHCzp0plFVFASW8upoRK1fSLzcXm8nE9L59WZyVJfvT+chLNhtJSjE8PJzSIC5vKRhx+jSNrS1asLVFCxoVFjJw7Vp6bNhAr9xcNiQns6BLF3Y2aSKffv2Ywe2md14eZy5fToTNxu/t2vFLz55UyBktPnOew8GlTicTzWZWBHmBh0zB9HY4SHS5+M5q1TtKUDqUkMDXw4bxa58+9MnJoU9ODu23b2d348Ys6NyZ9ampct66n0nbs4cxixfT5OhRtjRrxvT+/TmQkKB3rKDW3O3mNZuNFQYDL4bA/WUhUzC3V1bS2+FgndnMjiD/1KCnsshIZvbuzbxu3ei6cSMD1q7lql9/pSgmhkWdOrEiM1N21dVZQnExoxcvpv3OnRTGxPDRWWeR27q1XGn6mOH4VjAGPEuSXSHweodMwdwVFcWi4mLeKivj7NjYkPjm6sluNrMsK4vf27en3Y4dDFyzhtELFzJ8+XJ+z8xkcadOlMiBU3XKarMxbNUqBmRn4zQa+bF3bxZ27IhTVgDWibsdDvq43dwQFsauELmaD5mfrINGI/dHRfFBWRl3VFXxqowx1wllMJCXkkJeSgpJBw8yYM0aBq5dy4B168hOS2NBly7sb9hQ75hBTXO76bFxI2f//juRVVWszMjg5169KIuM1DtayOjicvGw3c63JhNTQqjQQ+d3CnwfFsZIm437KiuZa7GwPoS+0f5gT+PGfHbWWfxcUkL/devokZdHl02b2Nq8OQs6d2ZTq1Zy4JmXxeXmcu+UKTQrLGRHYiLvjhrFPin0OhV5fElygaZxV1hYSA1Fhtw77ANRUfQ6PlQ2NC4OWwh9s/3FsdhYfhg4kFk9e9IrL49+69Zxww8/cLB+fc+Nm+npMmxTS9aCAlI/+IBGixdTFB3NJyNGsC41NaTe3PzFizYbrZRiZHg4JSH2+ofcn+JjBgN3RkUxpbSUhyoreUKGCXRTbbUyv2tXFnbqRMctWxi4di0XzZ3LyGXLWJqVxdIOHWS5bA0Zq6po+dVXJE2dCkYj26+6inciI3FIYetilNPJlU4nL5rNLAvBxUUh+VP3m8XCx1Yrt1RVMdtiYVmQbtMQKNxGI2vT01nbti0pe/cycO1aRvz+O2f85cbNI/Xr6x3Tv7ndJM6dS8pHHxFWVETBGWew7brrsDVogOOnn/ROF5Kaut1Mqq5mtcHAcyG6cjIkCwbgychIBtrtTCorY2BcHOUhsqrDr2ka25KS2JaURMOjRxm4di3dNm6k9/r15LVuzcIuXdjetKneKf1O7IYNpL3zDrGbN1PSti05EyZQmpGhd6yQZlCK9202LMB1VivOEBsa+0PIFkyFpjEuOpqfSkp4uqKCu2TJrF85HB/PN0OH8mvv3p4bN3Nzyfz2W/Y2bEhxeDiH+/dHhfiwT9jhw6R++CGN58+nOj6evAce4ODgwSAflnR3h8NBf5eLW8LC2BHC34+Q/hO6ymzmjfBw7qyqYqbFwqwg3nQuUJVHRjKrd2/mde/+542b7Z97jqqPPmLvmDHsP/NMXCE2j2aorqblN9/Q4ptvQCl2XHYZuy66CLdsNOoXOrpcPGa3M91o5PMQ/xCkKaW8/qBms1nFxcV5/XF9wawUs4uLaeh2079ePY7q8GnjiiuuqPPnDFSaUlxRvz4tpk6lXm4uzogI9o8cyZ4xY7AF+/JbpWg0fz6pH36I9cgRDg4cyLbrr6e6UaN//WU/yRxMjU2ePPm0fl2EUiyprCQc6B0RwbEQGBqrrKzE5XKd8Dca2vUKODSNW6OjmVNczEvl5VwTHS1LOf2Y0jQKe/WisFcvojdvpsV339F82jSaT5vG4QED2H3++ZSlpekd0+tiNm8m7e23idu4kdLUVPIeeoji9u31jiX+5jmbjWSlONtqDYlyOZmQLxiAfJOJ5yIieKKykgttNr6RDTEDQlmbNuQ9/DBh119P0rRpNJ0xg8bz53OsQwd2n38+hT16BPx8hKWwkJTJk2kyZw62evXYeM89HBg2LOB/X8HobKeTa51OXjGbWRziQ2N/kFfhuHfCwxlht/NcRQVLzWb2h+Ca9UBla9iQrTffzI4rrqDpr7+SNH06HR9/nIrmzdkzdiwFQ4fiDrD5NYPdTtLUqbT86isMLhe7LrqInZdcEnLzTYGisdvNm9XVrDMYeCZElySfiBTMcW5N47boaBYeO8ak8nLOj4mRbUsCjCsykj0XXMDeMWNouGgRLaZOJf3110n+5BP2nXMOe889F4e/H4SmFA0XLyb1gw8IP3iQw336sPXGG6lq0kTvZOIfaErxns2GFc+SZIe8b/xJCuYvdhuNPBoVxavl5VxfXc0HsionICmTiUODB3No0CDicnNpMXUqrT//nBZff03B0KHsOe88KpOS9I75P6K3bSPt7bept349Za1bs+Y//+FYx456xxInMc7hYLDLxe1hYWyVocv/w2eryOLj473+uHVCKT4rLqav3c6w+Hi21sFYqt1u9/lzBBPTaXxPkp1Obq6q4sLqasKB2RYL74SHs9Rs1n1RRwO3mwcrKrisupoiTeP5yEg+t1pxeymXUYZ7a8zpdJ7S12U6ncwsLmauxcLVIbpAqLi4GIfDccLfuBTMCTRwuVhw9Ch7jUbOrl/f53fhSsHUzOkUzB/i3W6urqri2qoqGihFrsnEO+Hh/BAWVud3W1uU4oaqKu6urMSqFB+Gh/NyRASlXv4ULAVTc6dSMOFKMae4mFilGBAXR1GIXr38W8GE5ityEkeMRh6IiaGj08n4igq94wgvOmow8HJkJF3i47k7KgqrUrxTVsaqoiLGVVYS7Xb7PoRSjLDZWFxUxISKCn43m+lfrx4ToqK8Xi7Cd56oqKCNy8VtUVEhWy4nI6/KP/jZauVbq5W7KirIcjj0jiO8rFrT+Dw8nH716nFpTAw7jEYmVFSQU1TEU+XlNHe5fPK8bZ1OppaU8GlpKXZN46LYWC6PjWW7LGsNKEPtdq6truat8HAWyqqxfyRDZP8ixu1mwdGjlGsaw+LjqfbREIoMkdVMbYbI/k17h4NbqqoYZbOhAT+FhfFOeDjZXthtu77bzQMVFVxZXU2ppvFiZCT/raNNEGWIrOb+bYisodvNwmPHOGgwMDwuDnsIzrv8lQyRnaZSg4HxMTGkuVw8XF6udxzhY+vNZm6NiaFr/fq8Gx7OGXY7s4uL+aG4mBE2G9ppfBgzKcWNlZUsLyriiupqPrZa6Vm/Ph+Fh4fsDruBTFOKN8rKiFSKm6KjQ75cTkYK5iQWh4XxYXg4N1ZW0keuNEJCgdHIU1FRZNWvz6ORkTR1ufi0tJRlx45xdVUV4adYNINtNhYeO8YzFRWsM5kYVK8eD0dHc0zG6wPW9dXVDHY4mBAZyRYZ1jwpGSI7BeFKMefoUaxKMTg+3usTsTJEVjO+GiL7J0alOMtm49aqKjo7nRzVND4JD2dyeDhHTvCzkOJ08lRFBUPsdrYbjTweGckci0W3JawyRFZzJxoiS3c6mV1czEKzmctjYkJySfKJyDJlL+jkcPBTURHTrFbuiI316mNLwdRMXRfMn5Sih8PBrVVVDLfbcQBTrVbeDQ9ns8lErNvNvZWVXFtVRaWm8XJEBB+Fh+t+Z7cUTM39vWCsSjGruJgEt5sB9epRKFehf/q3gpFrvFO0zmxmUmQkd1dUMDMsjF9lQ8zQo2mssFhYYbHQ6viNmxdVV3NZdTWLzGbaOZ3EKcXnVivPR0bqcvSD8I3HKirIcLm4KCZGyqUG5AqmBkxK8UtREc1cLgbEx1PopU+GcgVTM7pdwZxAfbebq6qquLy6mp1GIxOiotjgR/lArmBOx1+vYM6w25lSWsp7ViuPRkXpmMo/yRCZF6U5ncw+epSFFgtXxcV5ZRxWCqZm/KlgAoEUTM39UTAJx5ckFxoMDIuLwybzLv9Dlil70RaTiYlRUQy327mkulrvOEIIX1GK18rKiFGKm6OjpVxOgxTMafggIoKlZjNPl5WR5KM7voUQ+rqmuprhDgdPRUaSL1fNp0UK5jQoTWN8bCwKeL2k5LRuwBNC+K80p5MnKyr4zWzmA1nQc9qkYE7TPqORR6Oj6eVwcFNlpd5xhBBeYlGK98rKKNc07gjRLfi9RQqmFr62Wvk1LIyHystpe4rnRwgh/NtDZWVkulyMj47msCxJrhV59WpD07g/JoYyTWNSSQlmGSoTIqD1t9m4ubKSyVarZ/cFUStSMLVUaDBwT0wMHZxO7pKzY4QIWPXdbl4vKWGL0ciEyEi94wQFKRgvmGW1MsVqZXxFBZ3lnhYhAo9SvFxSQj23m1vj4nx2NEeokYLxkkejozlgMPBGaSkRMlQmREC5vKqKETYbz0VHs8EL5/8IDykYLyk3GBgfG0uyy8WjZWV6xxFCnKIUp5OnSktZaLHwfkSE3nGCihSMFy2zWHg3IoJrq6oYYLPpHUcIcRJmpXiruJiqP+5tk6Exr5KC8bLnoqLYbDTyWmkpsW633nGEEP/i/vJyOjid3BMbyyHZs83rpGC8zKZp3B4bS4LbzUQZKhPCb/Wx2bi1ooLPwsOZKXfr+4QUjA/kms28EhnJedXVnCsbYgrhd+LcbiaVlLDDaGRCdLTecYKWFIyPTIqMZK3JxPOlpTSUDTGF8B9K8Z+SEhKOL0mukrv1fUZeWR9xHR8qsyrFq6WlIEuXhfALF1dVcbbNxgtRUayXJck+JQXjQ9tNJp6JjuYMu53Lq6r0jiNEyGvldPJMWRlLLBbekbv1fU4Kxsc+Dg9nocXCk+XltJANMYXQjUkp3iopwQ7cIUuS64QUjI8pTePOmBicwKTSUgwyVCaELu4tL6eTw8F9sbEUyJLkOiEFUwcKjEYeio6mh8PBrXJ2jBB1rqfdzu0VFXwZHs4vsiS5zkjB1JFpVis/hYVxf3k56Q6H3nGECBkxbjdvFhezy2jkMVmSXKekYOqKpvFATAzHDAbeKi3FIkNlQvieUrxQWkrD40uSK2VJcp2SV7sOFR0/OybD6eS+8nK94wgR9C6ormZ0dTUvRUWRI0uS69wpF4ymaUZN09ZpmvazLwMFu7lhYXwWHs64ykq6y9kxQvhMC6eTiaWl/G4286YsSdZFTa5gxgP5vgoSSiZERbHHaGRSaSkRsiGmEF5nUoo3S0pwAbfHxeGWJcm6OKWC0TStGXAW8KFv44SGSoOBO2JiCFeKZNlGRgivS3S5aORycX9MDPtlSbJuTKf4da8B9wP/uARD07QbgRsBDDKRdlIrLRZ6JCR4jmaVoTIhvGqvycSABg2okisXXZ20CTRNOxs4rJRa829fp5R6XynVVSnVVQrm1Mi530L4jpSL/k6lCfoA52qatguYAgzWNO1zn6YSQggR8E5aMEqph5RSzZRSLYGLgXlKqct9nkwIIURAk7EsIYQQPnGqk/wAKKUWAAt8kkQIIURQkSsYIYQQPiEFI4QQwiekYIQQQviEFIwQQgifkIIRQgjhE1IwQgghfEIKRgghhE9IwQghhPAJKRghhBA+IQUjhBDCJ6RghBBC+IQUjBBCCJ+QghFCCOETUjBCCCF8QgpGCCGET0jBCCGE8AkpGCGEED4hBSOEEMInpGCEEEL4hBSMEEIIn5CCEUII4RNSMEIIIXxCCkYIIYRPSMEIIYTwCSkYIYQQPiEFI4QQwiekYIQQQviEFIwQQgifkIIRQgjhE1IwQgghfEIKRgghhE9IwQghhPAJTSnl/QfVtCPAbq8/cO0lAIV6hwgg8nrVjLxeNSOvV8346+vVQinV4ET/wycF4680TVutlOqqd45AIa9XzcjrVTPyetVMIL5eMkQmhBDCJ6RghBBC+ESoFcz7egcIMPJ61Yy8XjUjr1fNBNzrFVJzMEIIIepOqF3BCCGEqCNSMEIIIXwiJApG07QRmqZt1jRtm6ZpD+qdx99pmjZZ07TDmqbl6Z3F32ma1lzTtPmapm3UNG2Dpmnj9c7k7zRNs2qatlLTtJzjr9mTemfyd5qmGTVNW6dp2s96Z6mJoC8YTdOMwFvAmUAGcImmaRn6pvJ7nwAj9A4RIJzAPUqpDKAnME5+vk7KBgxWSmUBHYERmqb11DeS3xsP5OsdoqaCvmCA7sA2pdQOpZQdmAKM0jmTX1NKLQKK9M4RCJRSBUqptcf/uQzPm0BTfVP5N+VRfvxfzcf/ktVG/0DTtGbAWcCHemepqVAomKbA3r/8+z7kDUD4gKZpLYFOwAqdo/i940M+2cBhYI5SSl6zf/YacD/g1jlHjYVCwQjhc5qmRQHfAXcqpUr1zuPvlFIupVRHoBnQXdO0TJ0j+SVN084GDiul1uid5XSEQsHsB5r/5d+bHf9vQniFpmlmPOXyhVJqmt55AolSqhiYj8z5/ZM+wLmapu3CM7w/WNO0z/WNdOpCoWBWAamaprXSNM0CXAz8qHMmESQ0TdOAj4B8pdQreucJBJqmNdA0Le74P4cDQ4FNuobyU0qph5RSzZRSLfG8d81TSl2uc6xTFvQFo5RyArcBs/BMwH6jlNqgbyr/pmnaV8DvQBtN0/Zpmnad3pn8WB/gCjyfLLOP/zVS71B+LhGYr2laLp4PgHOUUgG1/FacGtkqRgghhE8E/RWMEEIIfUjBCCGE8AkpGCGEED4hBSOEEMInpGCEEEL4hBSMEEIIn5CCEUII4RP/D0vVt5NcfP9ZAAAAAElFTkSuQmCC\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_1r = img[:,:,0].copy()\n", + "str_1r = str_1r[283:288,890:895] \n", + "plt.imshow(str_1r, cmap ='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [70, 1.2, 11, 1, 1, 0, 0]\n", + "determinar(str_1r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 2" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[190.6122258 1.09953422 0.9819177 2.34511946 2.27447217\n", + " -1.62016404 85.47014377]\n", + "2.589205231289726 2.312239480960313\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_2r = img[:,:,0].copy()\n", + "str_2r = str_2r[252:257,949:955]\n", + "plt.imshow(str_2r, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [50, 1.3, 2.5, 4, 1, 0, 0]\n", + "determinar(str_2r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 3" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[143.67174102 2.32328961 2.16090506 8.28633162 6.8475628\n", + " -1.5779969 114.72814395]\n", + "5.470928949222188 5.0885425478166635\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_3r = img[:,:,0].copy()\n", + "str_3r = str_3r[309:324,619:636]\n", + "plt.imshow(str_3r, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [50, 15, 10, 4, 1, 0, 0]\n", + "determinar(str_3r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 4" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[170.51074692 0.72404326 0.94899811 1.94940078 2.28406376\n", + " 6.190567 100.11931426]\n", + "1.704991580249038 2.2347197813928976\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_4r = img[:,:,0].copy()\n", + "str_4r = str_4r[18:23,607:612]\n", + "plt.imshow(str_4r, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3, 6, 0.9, 1.4, 0, 0]\n", + "determinar(str_4r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 5" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[159.16045587 1.07357801 1.27234105 4.5756869 4.21360054\n", + " 6.28738116 128.40525837]\n", + "2.528083008621747 2.9961342032205103\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_5r = img[:,:,0].copy()\n", + "str_5r = str_5r[347:356,542:552]\n", + "plt.imshow(str_5r, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.4, 6, 0.8, 1.4, 0, 0]\n", + "determinar(str_5r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 6" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[149.35942882 1.0738311 0.87541102 2.08507806 1.68940448\n", + " -1.81607981 124.90198335]\n", + "2.528679002803907 2.061435424259867\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_6r = img[:,:,0].copy()\n", + "str_6r = str_6r[295:300,307:312]\n", + "plt.imshow(str_6r, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.3, 5.9, 0.78, 1.7, 0, 0]\n", + "determinar(str_6r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 7" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[138.7387436 1.9386357 -2.22391119 6.19193906 5.64616817\n", + " 0.47421667 129.67231319]\n", + "4.565138195369105 -5.236910658145347\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_7r = img[:,:,0].copy()\n", + "str_7r = str_7r[142:154,387:399]\n", + "plt.imshow(str_7r, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [10, 2, 5, 3, 5, 0, 0]\n", + "determinar(str_7r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 8" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[117.96132322 0.8918261 1.23916011 2.140237 2.33663264\n", + " 5.9503522 150.18634797]\n", + "2.1000899865145097 2.9179990671423646\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_8r = img[:,:,0].copy()\n", + "str_8r = str_8r[459:465,322:327]\n", + "plt.imshow(str_8r, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.43, 6.4, 0.01, 0.5, 0, 0]\n", + "determinar(str_8r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 9" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[182.9258356 0.94142815 -1.29220082 2.10748647 3.15148273\n", + " 3.294021 80.34963419]\n", + "2.2168938787115526 -3.042900394987331\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_9r = img[:,:,0].copy()\n", + "str_9r = str_9r[277:284,1071:1076]\n", + "plt.imshow(str_9r, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3, 6, 0.8, 1.4, 0, 0]\n", + "determinar(str_9r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 10" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.09299250e+02 1.01842846e+00 1.15336547e+00 2.28048409e+00\n", + " 2.89212867e+00 1.67741306e-02 7.77637647e+01]\n", + "2.398215753935267 2.7159681216478253\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_10r = img[:,:,0].copy()\n", + "str_10r = str_10r[43:49,883:889]\n", + "plt.imshow(str_10r, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [700, 3.4, 6, 0.8, 1.4, 0, 0]\n", + "determinar(str_10r,p0,FWHM_xr,FWHM_yr)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.23975436 2.58920523 5.47092895 1.70499158 2.52808301 2.528679\n", + " 4.5651382 2.10008999 2.21689388 2.39821575]\n", + "1.1372820062135576\n", + "2.8341979943625044\n", + "2.463149381278507\n" + ] + }, + { + "data": { + "image/png": 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+VfaBsiEdSQAgIh4m3QpqZmYDXNkzgpmSzgEuzMP/BMysJiQzM2umsongCOBIoON20VuAMyuJyMzMmqrsXUOvAN/NLzMzW4M0TASS5tCgSYiI2KbPIzIzs6bq6oxgYlOiMDOzlmmYCCLisWYFYmZmrVHq9lFJO0m6S9JySa9Kel3S0qqDMzOz6pV9juAM4GDgT8Aw4HDgB1UFZWZmzVO6h7KImAcMiojXI+I8UuNxZmY2wJV9juCl3OjcbEnfBp7C/R2bma0Ryh7MD81ljyL1RzAWOKCqoMzMrHnKnhFsD/w8IpYCq3VAb2ZmA1fZM4J9gYcl/VjSRElVd3pvZmZNUioRRMRngM2Bn5LuHvpzboTOzMwGuNK/7CPiNUnXk5qcGAbsT7qN1MzMBrCyD5TtJel80nMEB5D6Fn5HhXGZmVmTlD0j+BRwKfDZ3BJpKZLWAW4G1s7rujwivlpTZm1gOumC9CLgoIiYX3YdZmbWO2WboT64h8t/BdgjIpZLGgLcKun6iLi9UOYw4PmI2FzSZFLn9gf1cH1mZtZNlT4UFsnyPDgkv2qbtZ4EXJDfXw7sKUlVxmVmZitVfhuopEHALNJdRz+IiDtqiowGFgBExApJS4ARwHM1y5kKTAUYN25c1WGvUcYf//OWrHf+t/ZpyXrNrHtKnxFIGiZpq+6uILdNtC0wBthB0vu6u4y8nGkRMSEiJowaNaonizAzszrK3jW0LzAb+EUe3lbSjO6sKCJeAG5k9cbqniA1WUF+UG1D0kVjMzNrgrJnBCcDOwAvAETEbGCzrmaSNErSRvn9MOAjwIM1xWYAn87vDwR+GxGddo9pZmZ9q+w1gtciYknNNdwyB+uNgQvydYK1gMsi4lpJpwAzI2IGcC7wY0nzgMXA5PLhm5lZb5VNBPdL+kdgkKQtgKOB33c1U0TcC3ygzviTCu//CnyiZBxmZtbHylYNfR54L+m5gIuBpcAxFcVkZmZNVPaBspeALwNfztU86+Vf8mZmNsCVvWvoJ5I2kLQeMAd4QNK/VRuamZk1Q9mqoa1zpzT7A9eT7hg6tKqgzMysecomgiG5raD9gRkR8Rrl7hoyM7N+rmwi+D9gPrAecLOkTUkXjM3MbIAre7H4dOD0wqjHJH24mpDMzKyZyl4sfrukc3MPZUjampVPA5uZ2QBWtmrofOCXwCZ5+GH8HIGZ2RqhbCIYGRGXAW9Aai4aeL2yqMzMrGnKJoIXJY0g3ykkaSdgSWVRmZlZ05Rta+iLpFZC3yXpNmAUqaVQMzMb4MreNXS3pN2ArQABD+VnCczMbIAr3VVlvi5wf4WxmJlZC1Taeb2ZmfV/TgRmZm2udNWQpNHApsV5IuLmKoIyM7PmKZUIJJ0KHAQ8wMrnBwLoNBFIGgtMB96ey06LiP+pKbM78DPg0Tzqyog4pXz4ZmbWW2XPCPYHtoqIV7qx7BXAsfmOo+HALEk3RMQDNeVuiYiJ3ViumZn1obLXCB4BhnRnwRHxVETcnd8vA+YCo7sXnpmZVa3sGcFLwGxJvyH1WwxARBxdZmZJ40md2N9RZ/LOku4BngS+FBF1b1GVNBWYCjBu3LiSYZuZWVfKJoIZ+dVtktYHrgCOyb2cFd0NbBoRyyXtDVwNbFFvORExDZgGMGHCBHeKY2bWR8o+WXyBpKHAlnlUqSeLc69mVwAXRcSVdZa7tPD+OklnShoZEc+VC9/MzHqr7F1DuwMXkHopEzBW0qcb3T4qScC5wNyI+G4nZd4BPBMRIWkH0jWLRd35AGZm1jtlq4ZOAz4aEQ8BSNoSuBjYvsE8u5A6uJ8jaXYedyIwDiAiziY1XHeEpBXAy8DkiHC1j5lZE5VNBEM6kgBARDycq306FRG3ks4eGpU5AzijZAxmZlaBsolgpqRzgAvz8D8BM6sJyczMmqlsIjgCOBLouF30FuDMSiIyM7OmKpsIBgP/03HRV9IgYO3KojIzs6Yp+2Txb4BhheFhwK/7PhwzM2u2solgnYhY3jGQ369bTUhmZtZM3em8fruOAUnbk273NDOzAa7sNYJjgJ9KepJ0S+g7SM1Sm5nZAFe2iYm7JL2b1Hk9uPN6M7M1Rnc6r38NuK/CWMzMrAXcZ7GZWZtzIjAza3OlEoGkXSStl98fIum7kjatNjQzM2uGsmcEZwEvSXo/cCzwZ1LH9GZmNsCVTQQrcvPQk4AzIuIHwPDqwjIzs2Ype9fQMkknkPoX2FXSWnSzM3szM+ufyp4RHETqtP6fI+JpYAzwncqiMjOzpimVCPLB/wpWtjj6HHBVVUGZmVnzlL1r6F+Ay4H/y6NGA1eXmG+spBslPSDpfklfqFNGkk6XNE/SvcU2jczMrHplq4aOJPVBvBQgIv4EvK3EfCuAYyNia2An4EhJW9eU2QvYIr+mku5QMjOzJimbCF6JiFc7BiQNBrrsZD4inoqIu/P7ZcBc0tlE0SRgeiS3AxtJ2rhkXGZm1ktlE8HvJJ0IDJP0EeCnwDXdWZGk8cAHgDtqJo0GFhSGH2f1ZIGkqZJmSpq5cOHC7qzazMwaKJsIjgcWAnOAzwLXAV8puxJJ65MuNh8TEUu7GyRAREyLiAkRMWHUqFE9WYSZmdVRthnqN4Af5le3SBpCSgIXRcSVdYo8AYwtDI/J48zMrAm609bQDZIelvSIpEclPVJiPgHnAnM7Or6vYwbwqXz30E7Akoh4qvQnMDOzXin7ZPG5wL8Cs4DXu7H8XUhPI8+RNDuPOxEYBxARZ5OqmfYG5gEvAZ/pxvLNzKyXyiaCJRFxfXcXHhG3krq2bFQmSLenmplZC5RNBDdK+g5wJampCQA6bg01M7OBq2wi2DH/nVAYF8AefRuOmZk1W9m7hj5cdSBmZtYaZe8aerukcyVdn4e3lnRYtaGZmVkzdJoIcpeU78iD5wO/BDbJww8Dx1QamZmZNUWjM4LfAB33/o+MiMuANwAiYgXdu43UzMz6qU4TQX6o64g8+KKkEeSG5joe/Ko+PDMzq1rDi8UR0XGw/yLpCeB3SboNGAUcWHFsZmbWBGXvGrpb0m7AVqQHxB6KiNcqjczMzJqiVCKQ9PGaUVtKWgLMiYhn+z4sMzNrlrIPlB0G7AzcmId3J7U7tJmkUyLixxXEZmZmTVA2EQwG3hMRz0B6rgCYTnri+GbAicDMbIAq2zHN2I4kkD2bxy0GfK3AzGwAK3tGcJOka0ldVAIckMetB7xQRWBmZtYcZRPBkaSD/y55eDpwRW5C2u0QmZkNYGVvHw3g8vwyM7M1SNlG53aSdJek5ZJelfS6pB51Qm9mZv1L2YvFZwAHA38ChgGHAz/oaiZJP5L0rKT7Opm+u6Qlkmbn10llAzczs75RNhEQEfOAQRHxekScB3ysxGznlyh3S0Rsm1+nlI3HzMz6RtmLxS9JGgrMlvRt4ClKJJGIuFnS+F7EZ2ZmFSt7RnAoMAg4CngRGEu6i6gv7CzpHknXS3pvZ4UkTZU0U9LMhQsX9tGqzcys7F1Dj+W3LwP/2YfrvxvYNCKWS9obuBrYopMYpgHTACZMmBB9GIOZWVsre9fQREl/lLRY0lJJy/rirqGIWBoRy/P764Ahkkb2drlmZlZe2WsE3wc+TmpttM9+jeeuMJ+JiJC0AykxLeqr5ZuZWdfKJoIFwH3dTQKSLia1VDpS0uPAV4EhABFxNqlzmyMkrSBVO03uy0RjZmZdK5sIjgOuk/Q74JWOkRHx3c5ngYg4uIvpZ5CeUTAzsxYpmwi+ASwH1gGGVheOmZk1W9lEsElEvK/SSMzMrCXKPkdwnaSPVhqJmZm1RNlEcATwC0kv9+Xto2Zm1nplHygbXnUgZmbWGg0TgaR3R8SDkrarNz0i7q4mLDMza5auzgi+CEwFTqszLYA9+jwiMzNrqoaJICKm5r/ujtLMbA1Vuj8CMzNbMzkRmJm1OScCM7M2V7YZakk6pKNPYUnjcmuhZmY2wJU9IzgT2JnUgT3AMkp0Xm9mZv1f2baGdoyI7ST9ESAins99GJuZ2QBX9ozgNUmDSM8OIGkU8EZlUZmZWdOUTQSnA1cBb5P0DeBW4JuVRWVmZk1Ttq2hiyTNAvYEBOwfEXMrjczMzJqi4RmBpLd2vIBngYuBnwDP5HENSfqRpGcl3dfJdEk6XdI8Sfd21qaRmZlVp6szglmk6wICxgHP5/cbAX8BNuti/vNJXVFO72T6XsAW+bUjcFb+a2ZmTdLwjCAiNouIdwK/BvaNiJERMQKYCPyqq4VHxM3A4gZFJgHTI7kd2EjSxuXDNzOz3ip7++hOEfEvHQMRcb2kb/fB+kcDCwrDj+dxT9UWlDSV1BIq48aN6/EKxx//8x7Pa2ara9V3av639mnJemHN+8xl7xp6UtJXJI3Pry8DT1YSUSciYlpETIiICaNGjWrmqs3M1mhlE8HBwCjSLaRX5vcHN5yjnCeAsYXhMXmcmZk1SdnbRxcDX6hg/TOAoyRdQrpIvCQiVqsWMjOz6pS9RtAjki4GdgdGSnoc+CowBCAizgauA/YG5gEvAZ+pMh4zM1tdpYkgIhpWH0VEAEdWGYOZmTXm/gjMzNpc2f4Ixki6StLC/KTwFZLGVB2cmZlVr+wZwXmkC7sbA5sA1+RxZmY2wJVNBKMi4ryIWJFf55NuITUzswGubCJYlLuqHJRfhwCLqgzMzMyao2wi+Gfgk8DTpOYfDsS3epqZrRHKPlD2GLBfxbGYmVkLNEwEkk5qMDki4mt9HI+ZmTVZV2cEL9YZtx5wGDACcCIwMxvgGiaCiDit472k4aT2hj4DXAKc1tl8ZmY2cHR5jSB3SflF4J+AC4DtIuL5qgMzM7Pm6OoawXeAjwPTgL+JiOVNicrMzJqmq9tHjyU9SfwVUuc0S/NrmaSl1YdnZmZV6+oagRulMzNbw/lAb2bW5pwIzMzanBOBmVmbqzQRSPqYpIckzZN0fJ3pU3IfB7Pz6/Aq4zEzs9VV1lWlpEHAD4CPAI8Dd0maEREP1BS9NCKOqioOMzNrrMozgh2AeRHxSES8SnoaeVKF6zMzsx6oMhGMBhYUhh/P42odIOleSZdLGtvZwiRNlTRT0syFCxf2daxmZm2r1ReLrwHGR8Q2wA2kJizqiohpETEhIiaMGuXO0czM+kqVieAJoPgLf0we96aIWBQRr+TBc4DtK4zHzMzqqDIR3AVsIWkzSUOBycCMYgFJGxcG9wPmVhiPmZnVUdldQxGxQtJRwC+BQcCPIuJ+SacAMyNiBnC0pP2AFcBiYEpV8ZiZWX2VJQKAiLgOuK5m3EmF9ycAJ1QZg5mZNdbqi8VmZtZiTgRmZm3OicDMrM05EZiZtTknAjOzNudEYGbW5pwIzMzanBOBmVmbcyIwM2tzTgRmZm3OicDMrM05EZiZtTknAjOzNudEYGbW5pwIzMzanBOBmVmbcyIwM2tzlScCSR+T9JCkeZKOrzN9bUmX5ul3SBpfdUxmZrZSpYlA0iDgB8BewNbAwZK2ril2GPB8RGwOfA84tcqYzMxsVVWfEewAzIuIRyLiVeASYFJNmUnABfn95cCeklRxXGZmllXaeT0wGlhQGH4c2LGzMhGxQtISYATwXLGQpKnA1Dy4XNJDlUTceyOpib2faVp86vm5nbdh7/T3+KAPYuzF/lVGv9yGNZ+5JzFuWm9k1Ymgz0TENGBaq+PoiqSZETGh1XF0pr/HB/0/RsfXe/09xv4eH/RtjFVXDT0BjC0Mj8nj6paRNBjYEFhUcVxmZpZVnQjuAraQtJmkocBkYEZNmRnAp/P7A4HfRkRUHJeZmWWVVg3lOv+jgF8Cg4AfRcT9kk4BZkbEDOBc4MeS5gGLScliIOvv1Vf9PT7o/zE6vt7r7zH29/igD2OUf3ybmbU3P1lsZtbmnAjMzNqcE0EPSBor6UZJD0i6X9IX6pSRpNNz0xn3Stqun8W3u6Qlkmbn10lNjG8dSXdKuifH9591yrS06ZGSMU6RtLCwDQ9vZow5hkGS/ijp2jrTWt58Sxfx9YftN1/SnLz+mXWmt+x7XDK+PvkeD5jnCPqZFcCxEXG3pOHALEk3RMQDhTJ7AVvk147AWaz+MF0r4wO4JSImNimmoleAPSJiuaQhwK2Sro+I2wtl3mx6RNJkUtMjB/WzGAEujYijmhhXrS8Ac4EN6kxr9TaExvFB67cfwIcjorMHs1r5Pe7QKD7og++xzwh6ICKeioi78/tlpB19dE2xScD0SG4HNpK0cT+Kr2XyNlmeB4fkV+1dCy1teqRkjC0laQywD3BOJ0Vaug1LxDcQtOx73ExOBL2UT7c/ANxRM6le8xpNPxg3iA9g51z1cb2k9zY5rkGSZgPPAjdERKfbLyJWAB1Nj/SnGAEOyFUGl0saW2d6lb4PHAe80cn0Vm/D79M4Pmjt9oOU3H8laZZSMza1Wv097io+6IPvsRNBL0haH7gCOCYilrY6nlpdxHc3sGlEvB/4X+DqZsYWEa9HxLakp813kPS+Zq6/jBIxXgOMj4htgBtY+eu7cpImAs9GxKxmrbM7SsbXsu1X8MGI2I5UBXSkpA+1IIZGuoqvT77HTgQ9lOuNrwAuiogr6xQp07xGZbqKLyKWdlR9RMR1wBBJI5sVXyGOF4AbgY/VTOo3TY90FmNELIqIV/LgOcD2TQxrF2A/SfNJrfruIenCmjKt3IZdxtfi7dcRwxP577PAVaQWk4ta+j3uKr6++h47EfRArmc9F5gbEd/tpNgM4FP5roOdgCUR8VR/iU/SOzrqiyXtQNoXmnKQkDRK0kb5/TDgI8CDNcVa2vRImRhr6or3I12LaYqIOCEixkTEeNLT+L+NiENqirVsG5aJr5XbL69/vXwzBZLWAz4K3FdTrJXf4y7j66vvse8a6pldgEOBObkOGeBEYBxARJwNXAfsDcwDXgI+08/iOxA4QtIK4GVgchMPtBsDFyh1XLQWcFlEXKv+1fRImRiPlrQf6S6txcCUJse4mn62DVfTz7bf24Gr8nF0MPCTiPiFpM9Bv/gel4mvT77HbmLCzKzNuWrIzKzNORGYmbU5JwIzszbnRGBm1uacCMzM2pwTga2RlFpf/YeaccdIOqvBPDdJ6nFn4JLOl/RooSXIo/P4+cWHfJRajLw235v+nKS35PEbSwpJHyyUXShphKST87TNaz5P9CZmM3AisDXXxax+3/zkPL5P5GcMav1bRGybX6c3mj/f7307sHMe9XfAH/NfJG0FLIqIjgeE5rDqZ/oEcH8vPoIZ4ERga67LgX0kDYU3G9/bBLhF0lmSZqqTfgZy+YOV2oG/T9KphfHLJZ0m6R5WHsB74/fkA3/++z1WTQy3FcpeTWoNE0nvIjUi16h5YrNSnAhsjRQRi4E7SY11QfolfVn+Ff7liJgAbAPsJmmb4rySNiG13b8HsC3wt5L2z5PXA+6IiPdHxK11Vv2dQtXQ3xTG39gxnlWbZb6NlYlgB1J7Mh1t2/wdKVF0WAosyI3fTQYu7XpLmHXNicDWZMXqoWK10Ccl3U2qhnkvsHXNfH8L3BQRC3PzzRcBHa0+vk5qzK8zxaqhOYXxH+4YDxR74roL+EBuS2ZIbkDskXwtoPaMAFIDbpOB/UlJw6zXnAhsTfYzUmcs2wHrRsQsSZsBXwL2zM0f/xxYpxvL/GtEvN5XAUbES8CfgH8mNSkM6brB3sDbgIdqZrmW1I7UX/pj0+c2MDkR2Bor/7q+EfgRK88GNgBeBJZIejsrq46K7iRVGY3MF4QPBn5XYai/B44B/pCH/0Dq4vH22gbEcuL4d+AbFcZjbcaJwNZ0FwPvz3+JiHtIVUIPAj9h9aoXcjPDx5OSyD3ArIj4WYUx3ga8k5WJ4G5Su/e/r1c4Ii7p6IrUrC+49VEzszbnMwIzszbnRGBm1uacCMzM2pwTgZlZm3MiMDNrc04EZmZtzonAzKzN/X89UHFYYNCcJwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "FWHM_xr = np.array(FWHM_xr)\n", + "print(FWHM_xr)\n", + "stdxr = FWHM_xr.std()\n", + "print(stdxr)\n", + "meanxr = FWHM_xr.mean()\n", + "print(meanxr)\n", + "medianxr = np.median(FWHM_xr)\n", + "print(medianxr)\n", + "plt.hist(FWHM_xr.flatten())\n", + "plt.title('Valores FHWM en la dirección x para la image roja')\n", + "plt.xlabel('Valor FHWM')\n", + "plt.ylabel('No de imagénes con ese valor')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.45497183 2.31223948 5.08854255 2.23471978 2.9961342 2.06143542\n", + " 5.23691066 2.91799907 3.04290039 2.71596812]\n", + "1.0760536200525121\n", + "3.1061821513502625\n", + "2.816983594395095\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "FWHM_yr = abs(np.array(FWHM_yr))\n", + "print(FWHM_yr)\n", + "stdyr = FWHM_yr.std()\n", + "print(stdyr)\n", + "meanyr = FWHM_yr.mean()\n", + "print(meanyr)\n", + "medianyr = np.median(FWHM_yr)\n", + "print(medianyr)\n", + "plt.hist(FWHM_yr.flatten())\n", + "plt.title('Valores FHWM en la dirección y para la image roja')\n", + "plt.xlabel('Valor FHWM')\n", + "plt.ylabel('No de imagénes con ese valor')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Para el canal verde\n", + "Para extraer el canal verde, usamos todas las filas, todas las columnas, pero solo el segundo de los tres canales\n", + "<br> $img[:,:,1]$" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "FWHM_xg = []\n", + "FWHM_yg = []" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 1" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[189.66980834 0.90810483 -0.99594245 2.00139708 2.04842512\n", + " -0.3165475 67.1450221 ]\n", + "2.138423446363862 -2.345265237194763\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_1g = img[:,:,1].copy()\n", + "str_1g = str_1g[283:288,890:895] \n", + "plt.imshow(str_1g, cmap ='Greens')\n", + "plt.show()\n", + "\n", + "p0 = [70, 1.2, 11, 1, 1, 0, 0]\n", + "determinar(str_1g,p0,FWHM_xg,FWHM_yg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 2" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[200.49323003 1.0742782 1.00605482 2.34595298 2.25284053\n", + " -1.63474596 71.37063765]\n", + "2.5297318424914206 2.3690780599175865\n" + ] + }, + { + "data": { + "image/png": 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ssjaRFJ+PPy5ZQkIgwA1lZVQlJOhdkhARy2+x8LuxY6mJi+PC7dvJ8nq5Y9w4XHIxhdhHMkI2iXi/n98vXUqWx8PtU6awOTlZ75KiSkJrK8UrVpBaV4dF9qqah1L8a/hw/jRqFFNbW3lkxQoyvV69qxIRSl7KmUBMMMhdy5dT1NnJnZMnU56WpndJUcPu9XLYiy8y7quvdrwvaLXizMykNSeH1uxsWnNyaMnJoTUri6DsX41Kb+fm0uBw8Nu1a/nbN99wU0kJmxIT9S5LRBgJ5ChnDYW4dcUKSlpbuWfiRBZnZupdUtTIqKzkuCefJLWxkaWzZlExaRKpDQ2k19eTVlfHkJoaileswNK94EdTivb09G8Duiess7PxyZnhEW9JejpXTJ7MPeXlPLxiBXeOG8dX6el6lyUiiARyFFOaxg3l5RzY1MRD48bxWW6u3iVFB01j0mefccjrr+NOTOS1K6+ketQoAOqLinZ5qMXvJ7WxkbT6etJra8O/1tVRsH49tkBgx+O6kpN3hHRLTk54dJ2TgyspSY4xjSAVCQlcNnky96xezR/Ky3lw1CjelO870UsSyNFK07h87VqOrKvjiVGjeLuwUO+KokJsZydHP/00ReXlbCkp4aNzz8Wzh9ZkyG6nJS+Plrw8Nk+ZsuP9KhQiubmZtLq6XcJ67OLFxHg8Ox7niY//NqR3CuuOtDSQU9UMqdnh4KrSUu5Yu5Zfb9xIrsfD48OHo8kLK7EXEshR6qebNnFSVRUvDB/OC98ZtYl9k79hA8c89RRxXV18ftpprDzssH0evWoWC22ZmbRlZrJ14sSd/kAjoa2N9Lq6b8O6ro6iVauYsHDhjof5Y2Jozcr6Xvu7LTOTkJy4pju31cpvJkzg6k2bOLeyklyPhz+OGYNPXkSJPZBAjkKnbd3K2Vu28HZ+Pk90t1LFvlPBINPfeYey99/HmZnJvEsvpamgYIA+maIrNZWu1FQqx47d5Y9iu7pIq6vbJazzNm9mzJIlOx4TtFhoy8raZTS9LT6e5owMArKgbFAFleL+kSOpjo3lV1u2kOH1cuuECbTJqXjiB0ggR5nZVVX8csMGPsvO5uHx42X+cT8ltbRw7JNPkrtlC2sOOojPTzuNgE4nm3kSEqgdMYLaESN2eb/d6yWteyFZT1in19ZStGoVlu7DKjSlcKam0pSZSVNmJs2ZmTR2/7dXDocZOErxfGEh9bGx3LJuHX9dvpy5JSVUy3MudkMCOYoc2n2N4uIhQ7h34kS5RnE/jVi+nCOfeQaLpvHehReysaxM75J2y+9w0DB0KA1Dh+7y/p4FZY6KCjIaG8loaCCjsZGiiopdFpR1JCbSlJX1vbDuSkyUF3T95NPMTBpjYvjDmjU8+s033DJhAqtTUvQuSxiMBHKUmNbUxE2rVrE2NZW7J0+WaxT3g9XnY+Yrr1Ayfz51w4bx/k9/SntGht5l9VnPgjLnd7ZUqVCIVKdzR0D3vE1avhzHTodauGNjvw3o7sBuzszEmZIiC8r2weqUFH41eTJ/Ki/ngZUr+cPYsXwq2xDFTiSQo8B4p5Pbly9nm1yjuN/Sa2o47sknGVJby9JZs/jqhBMIRdlRiJrFQmt6Oq3p6WzceZ5a00jq6NhlNJ3R2MjI9euZvGzZjof57XaaMjJo7h5R97S+W4cMkQVle1EdF8evJk/m96tXc9fatfzN4+G5ggLpRAhAAjniFXd0cPeyZTR1X6PYJQtG9o2mMWH+fGa+8gre2Fhe/9WvqBw3Tu+qBpdSdCQn05GczJbvzFPHuVzfjqa7w7pw2zZKVq7c8Zhgd9A3ZmXtEtayoGxX7XY710+axE3r13PZli3keTw8NHIkQQll05NAjmB5XV38fulS3FYrN0+bhlOuUdwnDpeLI599lpHLl7Nt3Dg+PO883HLW9y7c8fFUDhtG5bBhu7zf7vWS0dS0S1hn1dczZt26XRaUtaWkhAN6p7CuzcsjGGXdh97yWSzcPXYstbGxnFdZSZbXy13jxuGWDoOpmfO7IQpkeDz8celSLJrGjQccQIOs2twnORUVHPvkkyS0tTH/Rz/imyOPlPnRPvA7HNTm51Obn7/L+62BAGnNzWTuNEed0dDA8C1bdiwoa8zM5Lnzz6fNpGera0rxeFERdbGxXLNxI39ZsYKbJkygWV5Ym5YEcgRK9vn4w9KlJPn93HjAAVTKNYp9pkIhpr3/PtPfeYeO9HRevu46Gr4z+hP7Lmiz0ZSdTVN29i7v71lQll9ZyXHz5vGzxx7j+fPO+16gm8mbubnUOxzctXYtf//mG+ZOnEiFfE+b0l6HAkqpfymlGpRS5YNRkNiz+ECA3y9bRo7bzR1TprBJWqt9luB0csojj3DQW2+xcepUnrvxRgnjQdKzoKy8tJQnf/lLAjYb5z/xBKPWrtW7NF19nZ7OFaWlADyyfDllra06VyT00Jve3JPA7AGuQ/RCTDDInd98Q3FHB78vLWWV3CTTZ8NXreKse+4ha9s2PjzvPD644AL80u7XRXNWFv++5BIas7I449lnKVu0SO+SdLU5MZFfTZlCbWwsfyovZ05trd4liUG210DWNO1zoGUQahF7YA2FuGXlSia2tnJfSQlfyf7FPrEEAsx86SVOfOwxOtLSeOHGG1l34IGy3URnXYmJ/PfnP2fDmDHMfustjnn7beheDGZGjQ4HV5aWsjQ1lbkbN3LRli3QfX2niH79tnpFKXWxUmqJUmpJyMTfUAPl2JoaZjQ28ujYsXwi17n12SGvvUbpZ5+x/IgjeOm663B+Z25T6CcQE8NLZ5/NVzNmcODChRy40yUaZuSy2bh5wgTm5eRwQWUlM1pkPGQW/RbImqY9pmlamaZpZRZZpdrvTqispCIxkTflGsU+G7pmDaWffcaKww/ny5/8hJDs1TYczWLhg+OPZ8OYMRzx4YekNzXpXZKughYL948cSWNMDD+prta7HDFIJDkjwKi2NkZ1dPC2nOjTZ7EdHRz9v//RnJvLgpNP1rscsSdK8fYppxCw2znp1VdRJu+0BS0WXs/N5QCnk6Eul97liEEggRwBTqiqwmOx8JG0qvtG0zjq2WeJdbt5/8ILCcppUYbXmZTEe3PmULh9O9NN3rqG8JYon1L8uKZG71LEIOjNtqdngYXAGKVUlVLqooEvS/SI9/s5sraWT3JzcUmrtU8mLFhA8apVLDjpJJpNvM810pSXlkrrupszJoaPMzOZXVdHwk43dIno1JtV1mdrmparaZpd07QCTdOeGIzCRNjRtbXEhkK8VVCgdykRJbW+nkNffpntY8aw4ogj9C5H9IW0rnfxcn4+8aEQs+vr9S5FDDBpWRuZpnFCVRUbk5LYKHen9polEODY//yHoN3OR+efL0dhRiBpXX9rQ1ISq5KTOb2qCrvJX5xEO/lJZWDj29oo6uzkLVlZ3SfT336brMpKPj7nHLrkhUzEktb1t54cNoxcr5eT5bCQqCaBbGAnVFbSZbXySU6O3qVEjLyNG5n24YesnjGDiu6jCEWEktb1DkvS0liSmsoF27cTL3PJUUsC2aCS/H4Oq6/n49xcPCa9oq6vYlwujvnvf2nLyODLn/xE73JEP5DW9bf+UVREqt/PWVVVepciBogEskHNqqkhJhTibWlX946mccTzz5PQ1sb7F1yAX66wixrSug7bkJTER5mZnFFVRbrPp3c5YgBIIBuRpnFCZSVrUlKoSErSu5qIMHrJEkYvW8bXxx9Pw/Dhepcj+pO0rnd4Yvhw7JrGBdu26V2KGAASyAY0qbWVQpdLtjr1UlJzM4e/8AI1xcUsPfZYvcsRA0Ba12HVcXHMy8nhpLo68t1uvcsR/UwC2YDmVFXRYbPxuSzm2isVDHLMU08B8MEFF6DJFqeoJa3rsP8MG4ZfKS7aulXvUkQ/k59eBpPi9XJofT0f5uXhs1r1Lsfwpn3wAXkVFXx2xhl0DBmidzliIEnrGoCWmBheKCjg6MZGRnd06F2O6EcSyAZzbE0Ndk2TdnUvZG3dyvR33mHD1KlsKCvTuxwxCKR1HfZcQQFOm41LtmzRuxTRjySQDURpGnOqqliZlkZlYqLe5Ria3evl2KeeojMlhU/PPFNuwTIRaV2H70z+79ChlDmdlLW26l2O6CcSyAYypaWFPLc7fM2i2KNDX36ZlKYmPjz/fHzx8XqXIwaTtK4BeD0vj1qHg4u3bEFpmt7liH4ggWwgJ1RW4rTb+TI7W+9SDK14+XImLFzIslmzqBk1Su9yhA6kdQ1+i4V/DR/OmM5Ojmhs1Lsc0Q8kkA0i3eNhRmMjH+Tl4ZeVwj9oiMfDUc8+S0NhIV/NmaN3OUJH0rqGD7Oy2JyQwC+2bsVq0k5BNJGf/AZxXE0NVk2TdvUeKE3j1+XlWAMB3r/wQkJypKi5SeuakFI8Nnw4BR4PJ9XV6V2O2E8SyAZg6V7M9U16OjUJCXqXY1g/2r6dqS0tfHnqqTilrS+Q1jXAovR0lqekcMG2bcQFg3qXI/aDBLIBlDU1keXxME9Gxz+ouKODn2/YwILMTFYffLDe5QgDMX3rWin+UVTEEL+f0+XiiYgmgWwAJ1RW0hITw8KsLL1LMaSYYJC5K1fSYbfz4IQJssVJ7Epa16xJTubzIUM4q6qKFLl4ImJJIOssPxjkgKYm3svPJyiLuXbr5xs3Mryri/tLSmiLidG7HGFA0rqGfxYVERsMcl5lpd6liH0kCaCzc91uFPCOtKt3q6ypiR9v386rQ4eyJCND73KEgZm9db0tPp53cnL4UU0NOR6P3uWIfSCBrCObpnGO282SjAzq4+L0LsdwUnw+ri8vZ2tCAv+S/cZib6R1zZPDhqEpxc/l4omIJIGso2O8XnJCITm3enc0jWtXrybR7+eeSZPkog3RK2ZvXTc6HLycl8cxDQ0Ud3bqXY7oIwlkHZ3vdlNjsfC1tGK/Z05VFTMaG/nX6NFsSUrSu5w90zSytm1jxuuvM3zVKmK7uvSuyNTM3rp+urCQLpuNi2WUHHHkZAWdDA0EOMrn4/8SEgjJYq5dFHR1ccn69SxLT+e1oUP1Lmevpr/9NtPffXeX9zXn5FBXXExNcTG1xcW0Z2TI6vDB0t26vuThhznp1Vd56qKLTHVPdqfdztOFhVy6ZQulTicrUlP1Lkn0kgSyTs5zuwkCz8TFIZudvmULhZi7ahU+q5X/KylBM3iIjV68mOnvvsuagw7i89NPJ2v7dnI3bya3ooKR33zDhAULAOhKTqa2O5xrR4ygKT+fkLThB0xP6/pHL7/M9IUL+eqQQ/QuaVC9nJfHqdXVXLJlC7+aPFleDEYICWQd2DWNsz0e3nc4qLVaJZB3cv7mzYxub+eu0lJaYmP1LmePcioqOPqZZ6gaNYpPzzyTkM1GzciR1IwcGX5AKER6XR25FRXk9YT08uUA+GNiqBs+fEdI1w0fjl8W9vWr8tJSxpeXc8SHH7JxzBhaTDQ15LNa+fewYczduJGZzc18YaK/eySTQNbB8V4vmaEQ/5UfwLuY2NLCGVu28E5+PgsMfjRmclMTJzz+OB1pabxz0UW7P1fbYqElL4+WvDxWH3ooAAlOJ7kVFTveyt57D4umEVKK5vx8aouKqB0xgpriYrrS0gb5bxVlTN66fi8nh7Oqqvjlli0sGDKEoIySDU8CWQcXuFxst1j4VA652CHB7+fG8nJq4+P5+5gxepezRzEuFyf+4x+oUIg3L70Ubx/OH+9KTWXT1KlsmjoVALvHQ87WreGA3ryZsV99xaQvvgCgPS2N2hEjdoR0S26uqQKlP5i5dR1UiseKivj9mjXMrqvjrdxcvUsSeyGBPMhGBAIc6vfzh8REQvKKNUzTuHLtWoZ4vVw7fToeA9/iZAkGmf3vf5PS2Mgbl19O234ed+qPjaVy7Fgqx44FQAWDZFRX7xhBF2zYwJglSwDwxsZSV1REzYgR1BUXUz9sGAF5UbdXZm5dfzlkCOXJyfxs2zY+zMrCK+sWDM24P/mi1PluN37gWYPPjw6mo2prObKujidHjmR9Sore5fwwTWPmSy8xdN06Pjr3XKoH4LASzWqlcehQGocOZeURR4CmkdTcTN5Obe4Z8+YBELRYaCws/HaxWHEx7uTkfq8p4pm5da0U/xg+nIdXruTUmhqeLSzUuyKxBxLIg8ihaZzhdvOuw0GjvFIFINvl4oq1aylPTeX5oiK9y9mj0k8/ZeKXX7J01izWHnTQ4HxSpejIyGB9Rgbrp08HwNHVRc6WLeRVVJBTUcHEL75gyiefAODMzKS2uJia7la3XFMZZubW9crUVBakp3Pu9u3My8mhw27XuyTxAySQB9GJHg/pmsZ/ZDEXAJZQiBvLy0Ep7p040dAt/OHl5Rz66qtsLi1l4Ukn6VqLNyGBbSUlbCspAcDi95NVVbVju9Xw8nLGffUVAO7ERLYXFFA5bBiVQ4dSl5dH0MBTAgPJzK3rx4uKeGLpUs6trOTvxcV6lyN+gDm/M3VygdtNhdXK/O/M+02bNk2nivR15Pz5lDidvHDSSRSUlNDbA0SvuOKKAa3re1asgJtugqlTGfH551wRHz+4n7+vNA3Wr4f584n78kuGffQRY957D4BQTAyd48fTOWkSHaWldE6aRNBEbe6uadNQZ5/N+Z98wtq//x1206las2aNDpUNLC/wZXMzP9m+nflTp9LSh4WIvbF27dp+/XjRTO1h4CGBPEjGBgIc6PdzV2Ki4Q+7GAwF1dUc9cUXrBg/nuUTJuhdzg+rrYUTT4S0NHjjDTB6GEP4EIixY8NvF13Eyq+/xtbcTNKqVSSuWEHSihXkPP00eU89BYCruPjbgC4txZuXF7UHSfgzMth23XWMuPNOsl94gfqzz9a7pEHz0qRJzNi+nZ+Ul/P4gQfqXY7YDQnkQXK+y4UXeF7a1cT4fJzx5pu0JyXx+nHHGfeHv8sFJ58Mra3w5ZeQl6d3RfssMGQIrUccQesRRwBg8XhIWL2axJUrSVqxgvQPPiDrtdcA8GVk7Bg9d5SW4ho1CqKozd08ezbpH31E4d/+Rtshh+CJgONZ+0NTQgIfjBrF7A0beHvsWKqNvIDSpKLnu8zA4jWN0zwe5sXG0mKW1Z17cMKHH5Le2so/zz0Xj1FXm4dCcMEFsHQpvP46TJ6sd0X9KhQbS8e0aXRMm0YtQDBIXEUFSStW7AjpIR99BEAwLo7OkpJvR9ElJYT6ueU5qJRi6003MfHssym6++4fbF1Ho9cnTOCIzZs5c8UK7j/sML3LEd8hgTwITvF4SNE0OZkLmLB+PQesWMGnM2aw1cgjk1tvhZdfhj//GXRexDUorFbco0bhHjWKhtNOAyCmvj7c4l65ksQVK8j7979RoRCaxYJr1KhdRtH+/dyPPdjM2rrucDiYN24cZ6xaxajGRjZmZupdktiJBPIgON/lYoPVyiKTbzdI7ujgx2+/TVVODh/NnKl3OT/sySfhj3+Eiy+Ga6/Vuxrd+LKzaTn2WFqOPRYAS2cnieXlO0bRmW+8Qc4LLwDgzc3dJaDdxcVg8G6QWVvX74wdy7EbN3LWihXcffTRxp0yMiEJ5AFW4vczNRDgN0lJpv7CV5rGT+bNwxYM8sLJJxM0aovws8/CQTxrFjzyiKn/zb4rlJhI+0EH0d69B1sFAsRv2LBjoVjy4sVkdF9DGUhKorOkhI7Jk+mcNInO8ePRjDY9YdLWtddm45WSEn6+ZAlTamr4Jj9f75JENwnkAXa+240beMloP4wG2cGLFzNq61ZenT2bpiFD9C5n9zZuhFNPhREj4MUXweQdjb3RbDa6xo+na/z4cMtX03BUV4fnoJcvJ2nFClIXLgQgZLPhGjOGjtLSHSEdMMDlGWZtXX8yYgRz1q3jzBUrWC5npBuGBPIASgiF+InHw+uxsbSZ+As+p76e4z79lDWjRrHYqIujWlrC25uUgnnzQC517zul8BYU4C0ooHnOHABsbW0krly5I6SzX3yR3GeeAaDhRz9i680361kx8P3WtRkELRaeLy3l6vnzOXTrVr6Qw0IMQQJ5AJ3q8ZCoaTxl4sVcNr+fM994A1dsLK/OmWPMFrDPB6edBlu3wkcfhUfIol8EUlJwzpyJs3vNgPJ6SVi3jox588h67TU6pk6l+bjj9C3yO61rNW6cKUaMXxcWUpGezmmrVrFo2DD8JmjXG130f9XpRdO4wO2m3GZjmYlbn7M/+YTspiZePvFEuox4qIamwa9+BZ98Ak88Ad33FouBoTkcdJaWsnXuXDomTmTYvfcSU1end1k7WtdJK1cye8MGvcsZFJpSPFtaSqbLxTEbN+pdjkACecBMCQSYGAiEtzoZcVQ4CEZv3szBS5eyoKyMjUZtid13XziIb70VzjtP72rMw2aj4s47UaEQxXfdBcGg3hXRPHs2rTNncubKleS0t+tdzqBYnZPDypwcTlm9mjifT+9yTE8CeYBc4HLRpRQvm3QxV0JXFz956y3qMjN598gj9S5n9157DebOhTPOgLvu0rsa0/EWFLDt2mtJXraMnO55ZV11t659ViuXfPUVKhTSu6JB8VxpKUk+HyeuW6d3KaYngTwAkkMhTvF4eCU2lk4TzEV9j6Zx6ttvE+fx8MLJJxMw4rGLy5bBuefC9Onhfcdm/HcygKaTTqLliCMo+PvfiTNAq9ifkcF/pk5lTFOTaVrXW9PTWTB0KHPWrSPV7da7HFOTn0ID4HSPh3gw7clc05cvZ9ymTbx3xBHUGfEEp+rq8OlbGRnhYzFN+u9kCEqx9eabCaSkMOKOO1Ber94VMX/4cJbm55uqdf3ipElYQyFOLS/XuxRTk0Dub5rGBS4Xy202VppwMVdmczNzPvyQjcOHs+CAA/Qu5/s6O8Nh3NER3t6Una13RaYXSE1ly223EV9RQeGjj+pdDijFEwccYKrWdX1SEh+PHMmRmzeb5kWIEUkg97Ppfj9jgkH+Y8QVxQPMGgxyxhtv4LfbeenEE413zWQwGF64tWIFPP88TJyod0WiW9uMGdSffjo5zz1H8ldf6V0Ozrg407WuX5kwAb/VyhkrV+pdimlJIPezC9xu2pXidRMu5jr6iy/Ir6vj1eOPpyMpSe9yvu+mm8It6gcfhOOP17sa8R2VV1yBe/hwiu++G2tbm97lmK513R4Xx9tjxnBQZSXFzc16l2NKEsj9KD0U4kSPh5diY3EZbXQ4wIq2beOwhQtZXFrKmjFj9C7n+/75z/AWp8svhyuv1LsasRuh2Fg233UXtpYWiu65J7xHXE8mbF2/NW4c7Q4HZ61Yof/zb0ISyP3oDLebWDDdyVyxbjenz5tHS1oab82apXc53/fRR3DZZTB7dnh0LAzLNXYs1ZdcQvrHHzPknXf0Lsd0rWu33c5rEyZQUl/PRAMc2GI2Esj9RdM43+3ma7uddWZazKVp/Oi990jq6OCFk0/GFxOjd0W7WrcufCzmmDHw3HNgxC1YYhe1551H++TJDP+//yOmpkbvckzXuv5w5EgaEhI4e/lylIySB5UEcj85xO9nRDBouq1Ok8vLmbR2LR/NnElVXp7e5eyqqSl8YURMTHhFdUqK3hWJ3rBaqbjjDgBG3Hmn/qd4max1HbBaeXHiRIY7nRy0bZve5ZiKBHI/ucDlolUp3jTRYq40p5OT33+frQUFfDZjht7l7MrrDV+lWFUVPpFr+HC9KxJ94MvLY+sNN5C0YgW5//uf3uWYrnW9YPhwtqWmcsaqVVj1fkFkIhLI/SAjGGSO18vzcXF4TLKYyxIKcfqbb4JSvHDSSca6HUfT4OKL4YsvwqdwGe3FguiV5uOPp/noo8n/xz+IN8CxjmZqXWtK8VxpKdmdnRy9ebPe5ZiGgX6KRq6zPB7swP9M1K4+fMEChldV8fqxx+I02t3Bf/wjPPVU+Hzqs87Suxqxr5Ri69y5BNLTGXHHHVg8Ht3rMVPrekVuLmuysvhxeTmxfr/e5ZiCBPJ+Ut2Luebb7WwyyYKhgupqjvryS1aMH8+KkhK9y9nViy/Cb34TPqf6ttv0rkbsp2BKChW3307c1q0UPvKI3uWYq3XdPUpO8XqZY4AOhRlIIO+nw30+hgWDPGWSk7lifD7OfOMN2pOSeF3vi+W/6+uv4YIL4OCDw/uOTTJ9EO3ap0+n7qyzyH7xRVIWLtS7HFO1rjdlZPB1QQEnrFtHst4dChOQQN5PF7jdNCnFOw6H3qUMihM/+IA0p5MXTzoJj5EWsG3fDiefDLm54UVcRqpN7LfKX/0KV3ExRXffjc3p1LcYk7WuXygtxREM8qPVq/UuJepJIO+HnGCQY71enouLw2eC0diEdesoW7mSz2fMYOvQoXqX86329vD2Jrc7vL0pM1PvikQ/0xyO8Cle7e0M/8MfdD9Fykyt65rkZD4tLmbWpk1kdXbqXU5Uk0DeD+e43dgwxzWLyR0d/Pidd6jKyeGjmTP1LudbgQCcfTasWQMvvQTjx+tdkRgg7tGjqbr0UtI/+4yMN9/UuxxTta5fLikhpBSny8UTA0oCeR9ZNY1z3W4+jYlhW5Qv5lKaxmnz5mELBnn+5JMJWq16l/St66+Ht9+GRx6BY47RuxoxwOrOOYf2adMY9sADOKqq9C3GRK3r1vh43h09mkO2bWNYa6ve5UQtCeR9dJTPR34oZIpzqw9evJiRW7fy1tFH0zxkiN7lfOvRR+Evf4FrroFLL9W7GjEYLBYq7rgDzWKh+M47wx0SHZmpdf3m+PF0xsRw5ooVepcStSSQ99GFLhf1FgvvR/lirpz6eo779FPWjBrF4smT9S7nW++9B1ddFZ47vu8+vasRg8iXnc3WG28kadUq8p56Su9yTNO67oqJ4Y3x45lcW8v4+nq9y4lKEsj7oCAY5Cifj6fj4ghE8WIum9/PmW+8gSs2llfmzDHONqLVq+GMM2DCBHjmGdC7ha5psHVreMS+dau+tZhEy3HH0XTcceT/858k6L3610St6/dGjaI5Pp6zly/XfWFdNJJA3gfnut0APBPl7erZn3xCdlMTL594Ii6D7LNO6OoKj4rj48MrqpOS9C4JHn4YiorCdy0XFYUXlv361/Dxx+Dz6V1d1Np2ww34MjLCp3h1f0/qxSyta7/NxkslJYxoaWF6ZaXe5USdvQayUqpQKfWJUmqNUmq1UurqwSjMqGyaxjluNx/FxFCl98hsAI3evJmDly5lflkZG4uL9S4HAFsgwHkvvwz19fDGG1BYqHdJ8NZbcO218KMfha96fPDBcF0PPwxHHw0ZGfCTn8ATT4ABrhKMJsGkJCpuvx1HVRWFf/mL3uWYpnX9RVERVcnJnLFyJZYo7gbooTcj5ABwvaZp44GDgMuVUqbdW3Kc10t2KBTVJ3M5PB5Ofest6jIzee/II/UuJ0zT+MlbbzGsujp8TvUBB+hdEaxcGT4re/Jk+N//wncuX311eH67uRlefx3OOSd8gtgvfgH5+TB1Ktx6KyxYoP+1glGgo6yMunPOIfuVV0j98kt9izFJ6zpksfB8aSl5HR0cUVGhdzlRZa+BrGlaraZpy7r/uwNYC+QPdGFGdb7bTZXFwkcxMXqXMmCOmj+fxK4uXjrhBAIG2dJ19JdfUrpmDe8dfjicdpre5UBtbbh1npwcHq0nJOz654mJ4ZPD/v738CliK1fCPfeEW+z33AOHHAJZWeHAfvpp6OrS5+8RBaouvRTXyJEU/e532FpadK3FLK3rpfn5rM/I4Cfl5cTovNI9mvRpDlkpNRyYAnw1INUYXHwoxBE+Hy/HxhIyygKn/qZpHLhsGeXjxlGTm6t3NQDEeL0c/eWXlI8ZY5x7l//6V6isDI+C8/fy+lQpmDgR5s6Fzz6DxkZ4/vlwoL/0Epx3Htxxx+DUHYW0mBgqbr8de2srmW+8oXc5zB8+nFXZ2ZyyZo3epQwcpXilpIQ0t5spMhXTb3odyEqpROBl4BpN0743QaKUulgptUQptSQUpa0aj1IEgWC0hjGAUjhTUrAb6Lo1X0wM7YmJaEoZZ6X3pEnhX12uvv+/aWlw/PHhlrXfD4cfHj7gROwza0cHAO6iIp0rAZTCb7XijPLz1Hu+E9ui/O85mHoVyEopO+EwflrTtFd29xhN0x7TNK1M07Qyi5Euq+9HIaVosljIitIXHD225+cztLraONsalGL9iBGM2rIFi1HmXU84AeLi4IUX+v7/LlkCU6bAs8/Cb38LH30UvhRD7LPUBQsI2Wy0l5XpXQoAQ51OKo12T3g/y29rA6A6JUXnSqJHb1ZZK+AJYK2mafcPfEnG1mCxkG2UUBgglXl5JLjdpOt9q85ONowYQazXG17UZQQJCd+2nHv79RAKwZ//HL4e0ucLt69vu03/fdRRIGXBAjqmTCH03bl8HSR4vWS4XGyL9kBub6fN4aAjyg9HGky9GcoeApwPHKWUWt79NmeA6zKsBhOMkCu750SHGiX8gE3DhxOwWBi9ebPepXzrjDPCW7A+/3zvj21oCI+qf/3rcJAvXw6HHjrgJZpBTE0N8Vu24DzkEL1LAaCwe+S4PdoDua1NRsf9rDerrL/UNE1pmjZJ07TJ3W9vD0ZxRmSGQK7PyMBns5FXV6d3KTt4HQ62FRYyxkiBPGdO+ICSvbWtP/oISkvhk0/Cp3m9/DKkpw9OjSaQumABAG0HH6xzJWE9ly9sT0vTuZIBpGkUtLVRnZysdyVRJTonewdQvdVKZiiExSjzqwNAs1hoyMggu7FR71J2sX7ECHIaG8PbiIwgPh5OOikcsLvb+uH3wy23hG+hSksL70e+7DLjLEyLEqkLFuDJz8djkDu6hzqdtDscUb2oK9XjIcHvlxFyP5NA7qMGiwUbkB7FgQxQn5kZDj8DWT9iRPg/3nlH30J2dsYZ4W1Mn3226/u3boXDDoM//hEuuggWL/52ZbboN8rjIWnJkvDo2CAvdIY6neF2tUHqGQg7FnTJCLlfSSD3UUP3CvKsKF/YVZeVRVJXFwn7sq1ngDQOGUJLSkr4/mOjOP748AKvndvWL74YPr1rzRp47jl4/PHvHxwi+kXyN99g9XoNM3+sQiEK29qif/64+2hQGSH3LwnkPqrvCeRon0fOzAQgu6FB50p2ohQbRoyADz8Er1fvasLi4sIncr38MrS3w8UXh0fNY8eGF26deabeFUa1lAULCDoctE+ZoncpAOR2dhITDEZ9IBe0tdFlt0d1W14PEsh91DNCzo7yQK7rCWQjtq1dru+3iPV0xhnhs6vHjAmPhufOhS++CN/8JAaOppE6fz4dZWVoBgmGwu6tglG/5amtjaqUlKhuy+tBArmPGrr3jEb7CLkzIYGuuDjDzSNXDBsGDoex2tazZ4cXbWkavP9++Kxqu13vqqJe7PbtxFZX4zTI6moIr7AOKkVNlLdy89vbpV09ACSQ+8itFO1KRf0cMkpRn5lpuBGy326HI480ViDHxsLSpbB2bXhFtRgUKd3bnYwUyEOdTmqSk/FH8WEvSR4PyV6vLOgaABLI+6DBYon6ljWE29bZjY0oo60oP+EE2Lgx/GYURUXhUbIYNKkLFuAqKsKXl6d3KTvsWGEdxWRB18CRQN4HDRYLmWYI5KwsHH4/qQY6QhMIH8gBxtr+JAaVxeUiadkywxwGApDg85HhckV9IBd0b3mqkhFyv5NA3gdmGSHvWGnd1KRzJd9RXBxeQGWktrUYVMmLF2MJBAzVru5Z0BXtgZzf1obbZqMlPl7vUqKOBPI+qLdazRHIGRkA5Bhp61OPOXPg00+hq0vvSoQOUufPJxgfT2dpqd6l7DDULCusexZ0yQrrfieBvA8aLBYSNI34KA9ln8NBS0qK4VZaA+FA9nrD50MLc9E0UhcsoO3AA9EMtJp9WGsrHTExOOPi9C5lQOXLGdYDRgJ5H5hlLzJgyJXWAMycGT79StrWphO3aRMxjY2GaldDeIS8LS0tqkeOCV4vaR6PLOgaIBLI+8Asp3VBeGFXRksL1t1dnqAnhwNmzYK33grv/xWmseN2pxkzdK7kWyoUosBER2bKgq6BIYG8D8w2QraGQmS2tOhdyvfNmRO++WnNGr0rEYModf58usaMwd+96NAIcjo7cZjgyMwdl0rICHlASCDvA7Oc1gUGPdO6R8/2J2lbm4a1vZ3EVasM2a4GE6ywbm/Ha7XSJJelDAgJ5H3QqhQ+ov/GJ4DG9HQCFosxF3YVFISvNJRANo2Ur75ChUK0GeR2px5DnU6CSkX9yDG/rY2a5GS0KJ4n15ME8j7QlKLRJHuRQ1YrjUOGGHNhF4RHyV9+Cd2tNBHdUhcsIJCcTOf48XqXsothra3UJiVF9ZGZEB4hV0X5iw49SSDvI7Oc1gUGXmkN4UAOBMJXMoroFgqRsnAhzhkzwGDBV9izwjqKxfn9ZLhcsuVpAEkg7yOznNYF4ZXWae3tODwevUv5vhkzICVF2tYmkLB2LfbWVkMdlwnhIzMzTXBkZp6cYT3gJJD3Ub3VSrYJ5pDh2xO7DHeEJoDNBscdFw5k2f4U1VIXLEBTiraDDtK7lF2Y6chMkEAeSBLI+6jBYiFd07CZIATqs7IAgx6hCeG2dV0dfPON3pWIAZSyYAGdJSUEDBZ8pllh3daGz2KhQVZYDxgJ5H3UYLFgATJM0LZ2JifjcTiMO488e3b4V2lbRy1bczOJa9YYrl0N4UDuiImhNdqPzGxvpy4piZBFYmOgyDO7j8x0WhdKUZ+RYcytTwDZ2XDAARLIUSx10SIAw+0/hvAK6+2pqVF9ZCaEr12UdvXAkkDeRz2Hg5hlYdeOldZGbdHPmQOLFoER57nFfktZsADfkCG4Ro/Wu5Rd9ByZGe0rrB2BABldXbLlaYBJIO+jnuMzzXA4CEBdZibxHg/JnZ16l7J7c+aEXyy8/77elYj+FgiQsmhRuF1tsHZpz5GZlVE+f5zb3o4FZMvTADPWV3cEaTRTy5pvF3YZ8ghNgLIyyMyUtnUUSly1CltnpyHb1aa5A1lWWA8KCeR95FOKFqVM07Ku6znT2qgtYYslvLjr3XfBJF0Ls0hdsICQ1Ur79Ol6l/I9Zjkys6C9nYBS1CUm6l1KVJNA3g9mOq3LHRdHW2Kicbc+Qbht3dwMixfrXYnoR6kLFtBZWkrQgGEw1Ok0x5GZbW3UJSURjPK/p94kkPdDg9VqmhEyGPwITYBjjw2PlN96S+9KRD+Jqa8nftMmQ7arAYb2rLCOcvnt7VHfBTACCeT9UG+xmOa0LggHclZTExajvghJTw8fpSnzyFEjZcECAJwGu90JIL77yMxoX2FtDwbJ7uyUBV2DQAJ5P+xoWRt1K1A/q8vMxB4MMqS1Ve9SftgJJ8CyZVBbq3cloh+kLliANzcXT1GR3qV8T8+CrmhfYZ3T3o5F02SEPAhsA/FBg8EgrUb+od1PtgWDxAJaayvO/TgUoKqqqv+KGkBWTeN0wLZuHVXDhulWR9MeFpZZZ8wgDeh48UW855wzeEUZmM/n07uEfaJ8PpIXL6bhuOPw+f2D9nkbezktc3D39+2yYJBmI0/l7KcJdXUArAoGf/C56e1zJvZMRsj7oWcMlqNrFYOnJiWFkFIUdI8MjCg4YQLBnBxi5DrGiJeyYgVWt5sWg10m0aO4o4N2u51mh0PvUgbUsK4ugkBVfLzepUQ9CeT9UN89Ks4xScvab7NRn5REoZG7H0rhnzUL+6efwiCOqkT/S1u4kFBMDG1Tp+pdym4VdXayOTEx6o/MHNrVRW18fNSvJDcCCeT9UNf9jZhtkkCG8HyZkUfIAL5Zs7B0dGD7+mu9SxH7IW3RIpxTphAy4KUNFk1jeGcnWwy4Fau/DevqYpvc8DQoJJD3Q0/LOlfXKgZXVWoqWR0dxAQCepfyg/yHHYZmtxPz0Ud6lyL2UWxVFfGVlbQatF2d63IRFwpRkZSkdykDyhYKke9ysV0CeVBIIO+HdsCNeVrWAFVpaVj49ig9I9KSkvAfdJDMI0ewtO7bnYwayMXdZ7pXRPkIOc/lwqZpMkIeJBLI+0Mp6oBsvesYRD1bPAqMPI8M+GfNwrZ2LZYIWcEudpW+cCGuwkI8BQV6l7JbxZ2dBIGtUR5Uw7q6ACSQB4kE8n6qU4pcE42QGxIT8VqtFBp9HvmYYwBklByBLG43KcuX0zpjht6l/KDijg6qEhKifqHT0K4uQkClBPKgkEDeT2YbIWsWCzUpKYYfIQdHjiQ4bBh2CeSIk7JsGRafjxYjB3JnZ9S3qyE8Qq6Pi8Mb5S88jEICeT/VKWWqOWSAyrQ0Cgw8hwyAUviOPpqYL74Aj0fvakQfpC9aRDAujvZJk/QuZbfiAwFyPB5TBPJQWWE9qCSQ91OdUqQDDhOFclVqKqluN4kGDzrfrFkolwv7woV6lyJ6S9NIW7gQ57RpaDExelezW8UdHQBRv8LaEgpR6HJJIA8iCeT9VNf9q5na1j0Lu4w+j+w/5BC02FiZR44g8Vu3Eltfb/h2NUT/Cutcj4eYUEi2PA0iCeT9ZLbTuiA8Qgbjr7QmPh7/IYdIIEeQtO5uhlG3O0E4kNvtdpqi/MjMod0vPGSEPHgkkPeT2c6zBmiLi6PD4TD8iV0QbltbKyqwbN6sdymiF9IWLaJrxAh8WVl6l/KDijs6wqPjKD8ys2fLk6ywHjwSyPupzoQjZJSiMjXV8C1rCAcyyPanSGDt7CR55UrDXiYB3x6ZGe3taggHcoPDgcs2IJcCit2QQN5PjUAIkwUy4bZ1vtOJMvjfOzR8OIFRoySQI0Dq4sVYgkFD7z/OdbvDR2aaIJCHdnXJ/PEgk0DeT0GlaMBcLWsIB3JcIMCQ7nkmI/PPmoV9wQLobsEJY0pftIhAYiLtEyboXcoPMssKa6VpsuVJBxLI/aDehHuRq9LSAOOvtIbu7U8+HzFffql3KeKHhEKkLVpE6/TpYOAWac+RmdEeVNkeD7GhENtM0AkwEgnkfmC207pgp5XWERDI/gMPJJSQIKd2GVjCxo3EtLQYul0N3x6Z6Yvyk6uGdneTpGU9uCSQ+0GtCUfIHrudxoSEiAhkHA78hx8enkc22b9TpEjvud3pwAN1rmTPisyyoKt7KkoCeXBJIPeDesIjZKMvcOpvlWlpFBp9L3I336xZWKuqsK5fr3cpYjfSFi6kY9w4/N1TIUYUHwiQa5IjM4d1ddEcE0OH3a53KaYigdwP6pTCDgzRu5BBVpWaSk57O9ZgUO9S9sp/9NGAbH8yIpvTSdKaNYY+nQvCo2OI/gVdICus9SKB3A9MuReZcCDbNI289na9S9mrUF4egQkTZB7ZgNK+/hqlaYY+nQtgRM8K62gfIWsaw2SFtS4kkPtBz3nWZtv6VBlBC7sg3La2f/UVKgJeQJhJ2qJF+FJT6RwzRu9S9qios5N2my3qj8zM9HqJDwZlhbUOJJD7gVlHyHUpKQQsFuOfad3NN2sWKhDA/umnepciegSDpH31VXh0bDH2j6MRHR1sMdGRmdKyHnzG/g6IEGYdIQctFmqSkyNiLzJAoKyMUEqKzCMbSNKaNdjb2w3frlY9R2aaYf5YLpXQjQRyP3ApRTvmGyEDVKemRkzLGpsN/5FHEvPRRxAK6V2NINyu1qzW8IEgBpZnoiMzh3V14bTbaTPofdTRTAK5n9RjvhEyhOeRM7q6iPX59C6lV3yzZmFpaMC6apXepQggfeFC2ktKCBp85FlkkiMzIRzI0q7WhwRyP6lVimwTjpB7jtCMlFGy76ijANn+ZAQxTU0kbtxo+HY1wIjuIzO3RntQyRnWupJA7id1SpFrwkDuWWkdKfPIWmYm/ilTwm1roau0r74CMPR1iz2KOjupjo+P+iMz030+kgIBCWSdSCD3E7O2rJsTEnDb7REzQobw7U+2JUtQzc16l2JqaQsX4s3KwjVihN6l7FVxR4dp2tUA200wV25EEsj9pFYpkoAEs42SlaIqNTVijtAE8B1zDErTiPnkE71LMS3l95O6eHF4dGzwbURmOjJTVljrSwK5n9R3/2rGUXJlz0rrCHkxEigtJZSRIad26Sh51SpsLldEzB/vODLTDIHsctFhs9EiK6x1IYHcT3oOBzHlwq7UVBJ9PlLdbr1L6R2LBd9RRxHz8ccQAedwR6O0hQsJ2Ww4p03Tu5S9KjbTCuvOzvAKa4N3LaKVBHI/qe3+1ZQj5O6V1pGysAu6tz+1tmJbtkzvUsxF08h66y1yXn+dtqlTCcXH613RXhV3dtJhs9EY5UdmArLCWmcSyP2kvvsVpRlXWlf3nGkdQfPI/iOPRLNYZPvTILK1tjL21lsZfc89dI4dy8a5c/UuqVeKe+5AjvJRY4rPR5rfL3uQdbTXQFZKxSqlvlZKrVBKrVZK3TUYhUWaZsCPOVvWnQ4HrXFxETVC1lJTCRxwgATyIElbuJCpP/0p6QsXsuXyyyl/8EF8WVl6l7VXStMoMsuRmd0rrGWErJ/ejJC9wFGappUCk4HZSinjr8QYZJpSpt36BOF55PwICmQIt61tK1ei6ur2/mCxTywuFyPuu48JN96IPzWV5Y8/TvVZZxn+IokeuW43ccGgKRZ09Wx5klue9GPb2wM0TdOAzu7f2rvfzDcM7IVqpThA03BoGt4ob29917b0dGavXcvE6mpW5efrXU6v+I45hoTf/56Eu++m84EHQFaW7h9Nw1FfT9Lq1SStXk1yeTkJGzeigkGqzjqLbb/8JVqEPceza2oA2BztI2RNY3pTE11Wqynmyo1qr4EMoJSyAkuBkcBfNU37ajePuRi4uH/Liyz/Z7XyUiDAA8Egv7L16qmNGu+NG8fEmhqu/+QT/nvAAXxk8LttAYITJuC64Qbi/+//sNTW0vGvf6F1z4eLvbN4vSSuX09SeTlJa9aQVF6Oo/uwlaDDQefYsVSfeSYtM2fSMWGCztX23Zlbt3L21q28n5vLxigP5FOqqpjR1MTjI0dG/Vy5kfUqNTRNCwKTlVKpwKtKqRJN08q/85jHgMcALBaLKUfQb1os/MliYW4oxNfBIE9G+TF7O2uLi+N3xx3Hr774ggu//prs9naenTYNzeCtSdeNNxIcNozEa68lZc4c2p95htDw4XqXZTyahqO2lqQ1a0guLydp9WoSNm7E0r1tzJ2fT9u0aXRMmED7hAm4RoxAi+AXpadu28YvNm3ik+xs/jx+fFSH1Oj2di7ZsIFFGRm8OGyY3uWYWp++YzRNcyqlPgFmA+V7e7wZ3Wm1Mk3TeCgYZKVSLDN4IPUnr93Og0ccwTlLlzJ73TqyOjv526GH4rXb9S5tj7xnnkmwoIDkn/6U1NmzaX/qKQIGvw5woFk8HhLXrQu3nrtb0DEtLQAEY2PpGDeO6rPPpqOkhI7x4/F3b32LBidVVnLZxo18kZnJnyZMIBTFYZzo93PrypW0xsRw7/jxaFH8d40Eew1kpVQm4O8O4zjgGOBPA15ZhAopxQU2Gwv9fp4LBJhht9Nsoi9yzWLh6QMOoC45mfMXL+Y377/PA0ceSavB95sGDjkE57vvknL22aSceiodf/kLvlNP1buswaFpxNbU7Gg9J5eXk7B5M6pn9FtQQOv06XSMH09HSQldRUUQwaPfPcmeN4+r1q9nYUYGf5g4kWA0v6DWNH69Zg2ZXi/XlZXREWHz+9GoN99VucB/uueRLcALmqbNG9iyIluzUpxps/FpIMB/AwFOtNmi+lX27nw0ZgyNiYlc/vnn3PH22zxw1FFsS0/Xu6w9Co0YgfPdd0m+8EKSL7mEri1bcF93XdS1Ky1uN0nr1oUDuGf0271CPhAXR+e4cVSeey4dEybQMX48AZPMq2e++y4j772XxUOGcPekSQSiOYyBU7dv55DGRv4+ahRrU1L0LkfQu1XWK4Epg1BLVPnGYuEqq5XHgkHuDAa5PUpHFHuyMj+f382ezXUff8xv3nuPRw89lOWFhXqXtUdaejptL71E4rXXknDPPVgrKui8/36I1JWnmkZsZeWOtnPS6tUkVFTsGP26hg6ldcaMb+d+i4rARGsfemR89BGj//hH2qZM4c6UFPxRHsbj2tr45aZNzM/M5OWhQ/UuR3QzX0oMov9YrUzXNOaGQiwJhXgjyr/Jd6cyLY07jz+e6z75hGs++4xnpk3j/bFjjT3qdDjo/OtfCY4YEQ7lykran3wSzeAjfADV2Yntm2+wLV6MfckSbEuXktE99xuIj6dj/Hgqzztvx9xvIDlZ54r1N+Tzzxlz9920l5Sw5p578N17r94lDagkv5/frFpFo8PBfVG+YC3SSCAPsGutViZpGk8EAhxit7PBhF/8bfHx/P7YY7l0/nzOW7KE7I4Oni4rI2TkFyhK4b7+eoJFRSRdeSWpxx9P2zPPEDLS3b2ahnXzZmyLF2NbuhT7kiVY165FhUIABEaPxjd7NpX5+XSUlOAaNsyUo989SVuwgDF33EHHmDGsufdeQnFxepc0oJSmccPq1aR7vVxTVkanwRdcmo0E8gDzKcXZNhuL/H6eDwQ41Gajy4Sh7LPbefjwwzlz2TLmrFlDVkcHf505E4/BF5L4Tj2Vtvx8ki+8kNTjj6f9yScJHHywLrWojg5sy5ZhW7IEe3cIW7rnfkPJyQSmTsU3Zw7+sjICU6fu2FNdv26dLvUaXerXXzPutttwFRez+r77CJrgyMjTtm1jRlMTj4wezQaZNzYcCeRBUKUU59lsvB0I8FgwyLlWqynbRJpSPDdtGnVJSVz49dfc+t57PHDUUTQb/Adh4MADcb7zDsnnnEPKaafR+cADeM88c2A/aSiEddOmcOt56VJsS5ZgXbcOpWloShEcMwbfiSfinzaNwAEHEBw1KmKOozSClG++Ydwtt+AuLKT8/vsJRvnBHwATnE4u2ryZz7OyeN3gaznMSgJ5kHxqsXCb1cofgkEWK8WDJm4dfjp6NI2JiVz5+efc8c47PHDkkWwZMkTvsvYoVFRE2zvvkPSzn5F0xRVYt2zBNXduv72wUm1t2JYuDbeeFy/GtmwZlra28OdOSSEwbRrek08m0DP6lbnffZa0ciXj587Fk5tL+QMPEDDBSDHF5+M3q1ZRFxsb9QedRDIJ5EH0Z4uFslCI3weDLFOKz008olmdl8fd3Suwb3nvPf5+6KEsNfhqTy01lfbnnyfxhhuI//OfsWzZQudDD0FsbN8+UCiEdcOGXRZeWTds+Hb0O24cvpNPDreeDziA4IgRMvrtJ4lr1jDhhhvwDRlC+QMPRNWBJj9EaRpzV68mxe/nqrIyXCbc8REp5F9mMCnFL202xvv9PB0IcJDdTrWJX6lWp6Zy1/HHc82nn3LlZ5/x/NSpvGP0V+8xMXQ++CDB4mISfve78Arsp55Cy8j4wf9FOZ3hed/u1rNt6VIsHR0AhNLSwqPfH//429GvCdqnekhYv56S668nkJLCqocewr+Hf7NoctbWrRzQ3MxDY8eyWTorhiaBPMg6leIMu535fj/PBgLMMvmr1fa4OP54zDFcvGABZy9bRnZHB/+dPt3YJyQphfvqqwkOH07SFVeEF3s980x4HjcYxLp+/S4Lr2wbNwLhU8yC48bhPfVUAmVl+A84gFBxsbFfgESJ+M2bw2GckMCqhx6KiLuY+8Ok1lYu3LyZT7KzmRcht7CZmbnTQCfrleIXNhvPBwL8ORjkS70L0pnfZuPRmTOpT0ri5PJyMjs7eeSww3AbfQX2KafQVlBA8vnnk3L88QRKS8Nzv53h20pDQ4YQmDaNrtNPD49+p0xBk7tmB13ctm2UXHstIbud8ocewpubq3dJgyLV6+WWVauoiY/ngXHj5IVfBJBA1slrFgv3WSz8OhSCzZv50kj7W3WgKcVLU6ZQn5TEzxYt4rZ33+X+o46iyeABFpg2Dee775J0+eVYWlvxdoevv6yMUFGR/BDUWWxlJSVXXw1KUf7QQ3hMMkq0aBo3r15NYiDAzVOm4DZ5Jy5SyL+Sjm7vvhnqp4sWUZmayjaDrzQeDF+MHElTYiJXffYZd7zzDg8ecQSbMzP1LmuPQkOH0vbmm3qXIb7DUVPDxGuuwRIIsOrhh3EbfNFgfzpnyxamtrTw53Hj2CJrEiKGgSfqol+we39yR2wsV332GYler94lGcLanBx+O3s2HpuNmz/4gAO2bdO7JBFhYurrw2HsdlP+wAPhM7pNYkpLC+dXVPBBTg7v5uXpXY7oAwlknTUpxV8OP5xUt5tLv/xyx7GHZlebksJdxx/P1vR0rvz8c05ctQo0Te+yRASIaWpi4jXXYGtvZ/X999M1apTeJQ2adK+Xm8vLqUxI4C8ybxxxJJANYEtGBv+dPp1JNTWcunKl3uUYRmdsLH865hgWDB/OGcuX84uFC7F231IkxO7YW1ooueYa7M3NrL7vPjrHjtW7pEFjCYW4ubyc2ECAuydOxGPiw4cilcwhG8SnI0cyorGRU1atomLIEL6Ro+0A8Fut/P3QQ6lPTubHK1eS0dmJcjp3nNMsRA+b00nJtdfiqKtj9X330VFSondJg+r8LVuY3NrKvePHs83giyHF7skI2SiU4qkDD2RLejqXzJ9Pdnu73hUZh1K8WlrK3w85hFGNjaQcfzyWLVv0rkoYiLWjg5LrriOuqoo199xD++TJepc0qMqamzlnyxbezc3lA5k3jlgSyAbit1r5y+GHE7RYuOqzz4jx+/UuyVAWFBfzp1mzsDQ3kzp7NrZFi/QuSRiAtauLkuuvJ37rVtb+/ve0lZXpXdKgyvB4mFtezraEBB4xUYs+GkkgG0xzYiKPHnoo+W1tXLRokSxk+o4N2dk433kHLTWVlJ/8BMfLL+tdktCRxeVi/A03kLBhA+t++1taDzpI75IGlSUU4pbychyhEHdPmoRX5o0jmgSyAa3Oy+Ol0lJmbN3KcXKX7feERozA+e67BMrKSLr0UuLuu09euJiQxeNh/E03kbx6NevvuIOWQw/Vu6RB97PNm5nodPLAuHFUGvwaU7F3EsgGNa+khCWFhZy1dClj6uv1LsdwtLQ02l58Ec8ZZ5Dwpz+RePnlIPu4TUN5vYy75RZSli9nw6230nzkkXqXNOimNzVx1rZtzMvP55OcHL3LEf1AAtmolOKxgw+mISmJyz//nFSXS++KjCcmhs5HHqHr5puJffFFUk47DdXSondVYoApv59xt91G2uLFbJw7l8ZjjtG7pEGX6fEwd/VqNicm8rfRo/UuR/QTCWQD88TE8NDhhxMbCHDF55/LHtzdUQr3ddfR/thj2L75htTZs7Fs3qx3VWKAqECAMXfeSfrChWz69a9pOOEEvUsadLZQiFtXrcLaPW/sk3njqCGBbHA1qak8fvDBjG5s5JylS/Uux7B8P/4xba+8gmpvD6/Anj9f75JEfwsEGH333WR8/jmbr76aulNO0bsiXVy0aRPj29q4f/x4quPj9S5H9CMJ5AiweNgw3h4/nmPWr+fgigq9yzGswPTpON99l1BmJimnn47j+ef1Lkn0l2CQ0ffcQ+bHH7PlssuoPe00vSvSxYyGBk7bvp3XCwr4PDtb73JEP5NAjhAvTJnCmuxsfrZoEYUyT/qDQsOH0/bOO/hnzCDpiiuI/+MfQc4Hj2yhECPvu4+s995j2y9+QfU55+hdkS5y3G5uWLOGDUlJ/EPmjaOSBHKECFksPDpzJl0OB1d99hnxsqL4B2kpKbQ/9xyec88l/v77SbrkEvB49C5L7AtNo/jBB8mZN4/tF15I5YUX6l2RLmyhEL9ZtQoF3D1xIn6L/OiORvKvGkHa4+J4+LDDGOJycen8+SjZe/vD7HY6H3iArttvx/Haa6SceiqqqUnvqkRfaBpFjzxC3quvUnX22Wy/6CK9K9KHpvGr9esZ297OfePHUyfzxlFLAjnCbM7M5H9lZUyuruZHcjPUnimF+8oraf/Xv7CtWkXq7NlYN2zQuyrRG5rGsH/8g/wXXqDmtNPYetllpr1K8NwtWzipuprnhw1jflaW3uWIASSBHIE+Hj2aL4qL+fHKlZRWVeldjuH5TjqJttdfR7lcpBx/PPbPP9e7JLEXhU8+SeHTT1N7yilUXHWVacP4xKoqflpRwfu5uTwxcqTe5YgBJoEciZTiyQMPZGt6OpfOn09WR4feFRleYOpUnO+9Rygvj+Qzz8Tx3//qXZL4AQX/+x/D/vUv6ufMYfN115k2jA+rr+fKdetYlJHB/ePGoZn0eTATCeQI5bfZ+Mthh6FB+GaoQEDvkgwvVFhI21tv4Z85k6TrriP+t7+VFdgGk/f88wz/xz9oOOYYNt54I5h08dKU5mZuKi9nTUoKv5s4kaBJnwezkX/lCNaUlMTfZs6koLWVn8nNUL2iJSfT/swzuH/6U+Iffpikiy4COZbUEHJfeYXiRx6h6Ygj2HDLLWDSE6hGt7Vx18qVVCYkcNvkyXKDk4kobQB+iNvtdm3IkCH9/nGjVVJS0n79/79qaeHalhbuysjgf6mp/VOUgQ0fPnz/P4imcer27VyycSMbkpO5vbSUVodj/z+uATmdTr1L2KtTGhu5dds2PktNZW5xsa4jwhYd9/kX+3w8X1NDl8XCGXl5NNhsutXSFz6fT+8SIkZ9fT0+n2+38w8yQo4Cf0tL46P4eG5pamKq2613OZFBKV4ZNow7J01iWGcnDy9ezPDOTr2rMqU5TU3csm0b85OTuVnnMNZTTiDAf2prCSnFT3NzIyaMRf8x51d+lNGU4obsbKrtdv5SV0eGzCf32sKsLK4vK8MWCvHg4sWUNTfrXZKpHNPSwu1bt7IkKYm5I0ea9sCL1GCQJ2trSQqF+FlODlvtdr1LEjow51d/FOqwWrk8J4ekUIi/1NVhk/nkXtuYnMwV06dTFxfH75Yv50TZSjYojmht5bcVFaxITOT6kSPxmjSM40IhHq+rY6jfzyU5OayJ0qkTsXfm/A6IUhscDn6TlcUBHg9z5VSqPmmKjeXasjIWDxnC1evWccmGDVjkRU2/SwgEGNPVxWkNDfyhooI1CQlcO2oUHpMuXLJrGo/W11Pq9XJNdjZfxcXpXZLQkUxSRJl5SUmUejz8tK2NFbGxzNvPBWNm4rbZuKO0lEs3bOC07dvJc7n4Y0kJHpnL6z1NIzUQoMDrpdDrpcDjocDr3fH7tJ2mU1bHx3PVqFG4TBrGStO4t6GBw9xubs7I4P2EBL1LEjqTnzRR6E8ZGUzwevl9QwMbYmLYIC2wXgspxaNjxlAdF8dlGzZw/9Kl3DZ5Ms3yHO6gNI0Mv//boP1O6CYGgzseGwLqYmKodjj4JDWVythYqh0OKh0OtsTFETTrYReaxm3NzZzc1cX/paXxQnKy3hUJA5BtTwawv9uedicjEOC1yko8Fgs/LiigI4pGIf2y7akXpjc18ZtVq+iy2bht8mQ2R2i3YV+2PVk1jWyfb8cIt7A7cHveYnc6UCWgFNUxMVQ5HFTFxlLVHbhVDgc1DkfELdQajG1Pl7e2cl1rK0+kpPCH9PSIP41Mtj313p62PUkgG8BABDLAFLebp6ur+SI+nktzc6Pm6L3BCmSA4o4O7l6+nKRAgN9NnMjXGRmD9rn7yw8Fsj0UIq87dAu9XvJ3Gu3m+XzYd/rZ4FEqPLLdaYRb6XBQHRtLXUxMVI10BzqQz25v53dNTbyamMgNmZlR8X0pgdx7EsgGN1CBDHCe08kdTU08mJ7OX9PTB+zzDKbBDGSAIV4vv12+nBEdHfxt9GheHzp0UD///ogNBkmor99lhNsTutk+Hzv3TTotFqpiY3eMbntGvJUOB012e1QER28MZCDP7uzk4YYGPouL49KcHAJR8pxKIPfengJZ5pCj3P9SUij1ermqpYVVDgefy8KRPmt2OLi+rIybysu5YsMGClwu/jZ6NCGDtGIT/H7y3W5yXS7y3W7yXC5y3W7yXS6GfOcHZavNRpXDwYrExHDw7tRidtpsEd86NbKD3W7ub2jgG4eDK7KzoyaMRf+REbIBDOQIGSA2FOKFqipyAwF+XFhIVYQfOjDYI+QeFk3jlxs3ctr27Xw1ZAi/nzgR92CswNY0Uv1+8lwu8roDd+dfU/z+XR7e5HBQExcXfouPZ6Om7RjxdsqK8b0aiBHyRK+X/9XUUG2zcVZeHu1RtKYDZITcF9KyNriBDmSAoX4/r1RWUm2zcUZBQUQfwqBXIPc4saqKK9avZ2v34f+NsbH7/TGVpjHE6yWve5TbM8LtGe0m7LRyOQg0xMZSEx9PbVwc1fHxO8K3Li7ue3t6I+EsayPp70Au6j6f2m2xcHoEnU/dFxLIvSeBbHCDEcgAh3d18c/aWl5JSmJuVlbEtif1DmSAsuZmbl25Eo/Vym2TJ7OxF9tWLKEQWR7PjrbyzqPcXLcbx04rl/1KUbfTKLfn1+q4OOrj4gj04QWVBHLf9GcgZwcCvFhTQ2woxBn5+VF7JKYEcu9JIBvcYAUywJXNzVzV2sodmZk8k5IyaJ+3PxkhkAGGd3byu+XLSfb5+GNJCQuzsrAHg+R6POR2B23+TvO52R7PLkeaeiyWb0e4PaPd7uBtjI0l1E8vmCSQ+6a/AjklGOS5mhpyAwHOzctjdRTvZZdA7j0JZIMbzEBWmsZjtbUc7HJxbn4+yyPwqD6jBDJAmtfLXStWMKa9nSaHgwyvd5fzaLus1h2B+93RbnNMzKB0KSSQ+6Y/AjkuFOKp2lomeL38PDeXRRH4fdYXEsi9J4FscIMZyADJwSCvVlYSo2n8qLCQ5gib0zJSIAM4gkF+unkzqT7fLvO5NXFxtNvtuk8NSCD3zf4Gsk3T+EddHTPdbq7IzjbFkZgSyL0n257ELtqtVi7PzeWFqioeqqvjwvz8qDrYYbB5rVb+MXq03mUIA1Caxp8aGznC7eYWOZ9a9FHkLrUV+2Wdw8GtWVkc6PFwg9wBLMT+0zR+09zMjzo7uS8tjeflfGrRRzJCNrE3um+GusjpZKXDwdsRelazEEZwmdPJz9rb+XdyMn9LTdW7HBGBZIRscvdkZLA0NpY/NDQw0uvVuxwhItJZ7e38urWVVxMT+f2QIbqvGxCRSQLZ5PxKcVVODl0WC4/W1e1ydZ4QYu+O6+zkt01NfBoXx01RclmE0IcEsqDBZuPqnBwK/H7ubWhADcDKeyGi0Qy3mwcaGlgh51OLfiCBLABYEhfHnzIyOKari4tbW/UuRwjDK/F6+XtdHdvsdn6Rk4M7go+jFcYgX0Fih/+kpPBmYiLXtrRwiMuldzlCGNZwn49/1dbitFr5aW4ubVF2WYTQhwSy+JZS/CYri00xMdxfV8cw2ewvxPdkBwL8p64OgAtzcqiPsIN1hHFJIItduC0WLs/JwQK8XlnJOW1tMqcsRLeUYJAna2tJDQb5eW4uW2Ni9C5JRBEJZPE922JiOKWwkG9iY7mrsZH/1NRQ8J07d4Uwm9hQiMfr6hjm93NpTg7lUXxZhNCHBLLYrRq7nZ/l5XFLZiYTPR7mbd8uo2VhWjZN45H6eqZ4vVyXlcXCKL8sQuhDAln8MKV4MSWFOUOHsjQujrsaG3mqpoZCGS0LE1Gaxj2NjRzpdnNbRgbvJibqXZKIUhLIYq9q7XYuys3l5qwsJni9zNu+nfOcThkti+inadzS3MyPOzv5c1oaz8n51GIASSCL3lGKl5KTmVNYyOK4OO5oauK/1dUMldGyiGKXOp38vL2dJ5OTeVTOpxYDTAJZ9Emd3c4vcnO5KSuL8T4fb27fzgUyWhZR6Mz2dm5obeX1xER+J+dTi0EggSz6TileTk5mztChfB0Xx21NTTxdXc1Q2bcsosSxXV3c3dTEZ3FxzJXzqcUgkUAW+6zOZuOXubncmJXFGJ+PeZWVXCijZRHhDnK7ebC+nhUOB5dnZ+OXMBaDpNeBrJSyKqW+UUrNG8iCRIRRile7R8uL4uK4tXu0LKd8iUg0pqtLzqcWuunLV9vVwNqBKkREtnqbjYtzc7khK4vRPh9vVlbyU6cTi4yWRYQo9Hj4y8aNtFut/EzOpxY66FUgK6UKgBOAfw5sOSKiKcVr3aPlhXFxXNfcTG4goHdVQvTKtI4OIHw+dZ2cTy100NuvugeBG4GkH3qAUupi4GIAi7R5TK3BZuOS3FyG+/1U2+16lyNEr7yWmclHaWlsa2/XuxRhUntNTqXUiUCDpmlL9/Q4TdMe0zStTNO0MglkgVJy8L6IOB0yMhY66k1yHgKcrJTaCjwHHKWU+t+AViWEEEKYzF4DWdO0mzVNK9A0bThwFvCxpmnnDXhlQgghhIlIb1kIIYQwgD5NmGia9inw6YBUIoQQQpiYjJCFEEIIA5BAFkIIIQxAAlkIIYQwAAlkIYQQwgAkkIUQQggDkEAWQgghDEACWQghhDAACWQhhBDCACSQhRBCCAOQQBZCCCEMQAJZCCGEMAAJZCGEEMIAJJCFEEIIA5BAFkIIIQxAAlkIIYQwAAlkIYQQwgAkkIUQQggDkEAWQgghDEACWQghhDAACWQhhBDCACSQhRBCCAOQQBZCCCEMQAJZCCGEMAAJZCGEEMIAJJCFEEIIA5BAFkIIIQxAAlkIIYQwAAlkIYQQwgAkkIUQQggDkEAWQgghDEACWQghhDAACWQhhBDCAJSmaf3/QZVqBLb1+wfefxlAk95FRBB5vvpGnq++keerb+T56hujPl/DNE3L3N0fDEggG5VSaommaWV61xEp5PnqG3m++kaer76R56tvIvH5kpa1EEIIYQASyEIIIYQBmC2QH9O7gAgjz1ffyPPVN/J89Y08X30Tcc+XqeaQhRBCCKMy2whZCCGEMCQJZCGEEMIATBHISqnZSqn1SqlNSqmb9K7H6JRS/1JKNSilyvWuxeiUUoVKqU+UUmuUUquVUlfrXZPRKaVilVJfK6VWdD9nd+ldk9EppaxKqW+UUvP0riUSKKW2KqVWKaWWK6WW6F1Pb0X9HLJSygpsAI4BqoDFwNmapq3RtTADU0odBnQCT2maVqJ3PUamlMoFcjVNW6aUSgKWAj+Sr68fppRSQIKmaZ1KKTvwJXC1pmmLdC7NsJRS1wFlQLKmaSfqXY/RKaW2AmWaphnxYJAfZIYR8nRgk6ZpFZqm+YDngFN0rsnQNE37HGjRu45IoGlaraZpy7r/uwNYC+TrW5WxaWGd3b+1d79F98hgPyilCoATgH/qXYsYWGYI5HygcqffVyE/MMUAUEoNB6YAX+lciuF1t2CXAw3AB5qmyXP2wx4EbgRCOtcRSTTgfaXUUqXUxXoX01tmCGQhBpxSKhF4GbhG07R2vesxOk3TgpqmTQYKgOlKKZka2Q2l1IlAg6ZpS/WuJcIcqmnaVOB44PLuaTjDM0MgVwOFO/2+oPt9QvSL7nnQl4GnNU17Re96IommaU7gE2C2zqUY1SHAyd1zos8BRyml/qdvScanaVp1968NwKuEpy4NzwyBvBgYpZQqUkrFAGcBb+hck4gS3QuUngDWapp2v971RAKlVKZSKrX7v+MIL7hcp2tRBqVp2s2aphVomjac8M+ujzVNO0/nsgxNKZXQvcASpVQCcCwQETtGoj6QNU0LAFcA7xFecPOCpmmr9a3K2JRSzwILgTFKqSql1EV612RghwDnEx65LO9+m6N3UQaXC3yilFpJ+AXzB5qmyXYe0V+ygS+VUiuAr4G3NE17V+eaeiXqtz0JIYQQkSDqR8hCCCFEJJBAFkIIIQxAAlkIIYQwAAlkIYQQwgAkkIUQQggDkEAWQgghDEACWQghhDCA/wfvb27TKZOttwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_2g = img[:,:,1].copy()\n", + "str_2g = str_2g[252:257,949:955]\n", + "plt.imshow(str_2g, cmap='Greens')\n", + "plt.show()\n", + "\n", + "p0 = [50, 1.3, 2.5, 4, 1, 0, 0]\n", + "determinar(str_2g,p0,FWHM_xg,FWHM_yg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 3" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[170.3427937 2.50270952 2.42460793 8.20606974 6.75458075\n", + " -1.59836573 96.7865555 ]\n", + "5.893430538924626 5.709515350529837\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_3g = img[:,:,1].copy()\n", + "str_3g = str_3g[309:324,619:636]\n", + "plt.imshow(str_3g, cmap='Greens')\n", + "plt.show()\n", + "\n", + "p0 = [50, 15, 10, 4, 1, 0, 0]\n", + "determinar(str_3g,p0,FWHM_xg,FWHM_yg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 4" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 2.54183916e+02 1.23046840e-01 6.70047307e+00 1.10425433e+00\n", + " 8.90248962e+00 -3.27336289e+00 1.00028559e+02]\n", + "0.2897531646610474 15.77840830699988\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_4g = img[:,:,1].copy()\n", + "str_4g = str_4g[18:23,607:612]\n", + "plt.imshow(str_4g, cmap='Greens')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3, 6, 0.9, 1.4, 0, 0]\n", + "determinar(str_4g,p0,FWHM_xg,FWHM_yg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 5" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[168.26372326 1.10033428 1.29450467 4.5902933 4.22695556\n", + " 9.45794583 113.51970684]\n", + "2.5910892262579335 3.048325549295308\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_5g = img[:,:,1].copy()\n", + "str_5g = str_5g[347:356,542:552]\n", + "plt.imshow(str_5g, cmap='Reds')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.4, 6, 0.8, 1.4, 0, 0]\n", + "determinar(str_5g,p0,FWHM_xg,FWHM_yg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 6" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[156.84239601 1.06029633 -0.85528965 2.10415147 1.66655756\n", + " -1.79293029 104.32668398]\n", + "2.496807049197658 -2.0140532065754813\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_6g = img[:,:,1].copy()\n", + "str_6g = str_6g[295:300,307:312]\n", + "plt.imshow(str_6g, cmap='Greens')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.3, 5.9, 0.78, 1.7, 0, 0]\n", + "determinar(str_6g,p0,FWHM_xg,FWHM_yg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 7" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[145.65438883 1.76651044 -1.99543502 6.18714986 5.63414887\n", + " 0.57532162 107.47538165]\n", + "4.159814204121252 -4.69889038357356\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_7g = img[:,:,1].copy()\n", + "str_7g = str_7g[142:154,387:399]\n", + "plt.imshow(str_7g, cmap='Greens')\n", + "plt.show()\n", + "\n", + "p0 = [10, 2, 5, 3, 5, 0, 0]\n", + "determinar(str_7g,p0,FWHM_xg,FWHM_yg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 8" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 84.37015237 15.86828358 1147.80036859 31.62775195 210.07110406\n", + " 109.3925339 161.66666667]\n", + "37.36695224911869 2702.863315654261\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:12: UserWarning: No contour levels were found within the data range.\n", + " if sys.path[0] == '':\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "str_8g = img[:,:,1].copy()\n", + "str_8g = str_8g[459:465,322:327]\n", + "plt.imshow(str_8g, cmap='Greens')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.43, 6.4, 0.01, 0.5, 0, 0]\n", + "determinar(str_8g,p0,FWHM_xg,FWHM_yg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 9" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 47, "metadata": {}, "outputs": [ { "data": { + "image/png": "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\n", "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a8bba20>" + "<Figure size 432x288 with 1 Axes>" ] }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[191.01057596 0.90731452 1.24170476 2.10161186 3.14651353\n", + " 3.29961415 61.2009776 ]\n", + "2.1365624274379273 2.923991268052027\n" + ] }, { "data": { - "image/png": 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+ "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 1440x504 with 1 Axes>" ] }, "metadata": { @@ -354,31 +2176,53 @@ } ], "source": [ - "str_5 = gr_img.copy()\n", - "str_5 = str_5[347:356,542:552]\n", - "plt.imshow(str_5, cmap='gist_gray')" + "str_9g = img[:,:,1].copy()\n", + "str_9g = str_9g[277:284,1071:1076]\n", + "plt.imshow(str_9g, cmap='Greens')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3, 6, 0.8, 1.4, 0, 0]\n", + "determinar(str_9g,p0,FWHM_xg,FWHM_yg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 10" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 48, "metadata": {}, "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a8c8cc0>" + "<Figure size 432x288 with 1 Axes>" ] }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 2.16319665e+02 9.99190581e-01 1.12653091e+00 2.27946151e+00\n", + " 2.90122310e+00 -1.93991955e-02 6.06937104e+01]\n", + "2.3529140096920815 2.6527775769756388\n" + ] }, { "data": { - "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 1440x504 with 1 Axes>" ] }, "metadata": { @@ -388,29 +2232,34 @@ } ], "source": [ - "str_6 = gr_img.copy()\n", - "str_6 = str_6[295:300,307:312]\n", - "plt.imshow(str_6, cmap='gist_gray')" + "str_10g = img[:,:,1].copy()\n", + "str_10g = str_10g[43:49,883:889]\n", + "plt.imshow(str_10g, cmap='Greens')\n", + "plt.show()\n", + "\n", + "p0 = [700, 3.4, 6, 0.8, 1.4, 0, 0]\n", + "determinar(str_10g,p0,FWHM_xg,FWHM_yg)" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 49, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a5bd208>" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 2.13842345 2.52973184 5.89343054 0.28975316 2.59108923 2.49680705\n", + " 4.1598142 37.36695225 2.13656243 2.35291401]\n", + "1.1372820062135576\n", + "6.19554781582665\n", + "2.5132694458445393\n" + ] }, { "data": { - "image/png": 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Sy5L2S/oPSUs63O8xtfYPTKn1quazki5Xay/8K5J+KmlVg70PqrWf6sJz7ttNPO58XBYoRDe8jAfQAMIOFIKwA4Ug7EAhCDtQCMIOFIKwA4X4P/Baf+DRgwplAAAAAElFTkSuQmCC\n", + "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -422,29 +2271,41 @@ } ], "source": [ - "str_7 = gr_img.copy()\n", - "str_7 = str_7[141:155,386:400]\n", - "plt.imshow(str_7, cmap='gist_gray')" + "FWHM_xg = np.array(FWHM_xg)\n", + "print(FWHM_xg)\n", + "stdxg = FWHM_xg.std()\n", + "print(stdxr)\n", + "meanxg = FWHM_xg.mean()\n", + "print(meanxg)\n", + "medianxg = np.median(FWHM_xg)\n", + "print(medianxg)\n", + "plt.hist(FWHM_xg.flatten())\n", + "plt.title('Valores FHWM en la dirección x para la image verde')\n", + "plt.xlabel('Valor FHWM')\n", + "plt.ylabel('No de imagénes con ese valor')\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 50, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a5a2710>" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "[2.34526524e+00 2.36907806e+00 5.70951535e+00 1.57784083e+01\n", + " 3.04832555e+00 2.01405321e+00 4.69889038e+00 2.70286332e+03\n", + " 2.92399127e+00 2.65277758e+00]\n", + "809.4837036404556\n", + "274.4403620593375\n", + "2.9861584086736674\n" + ] }, { "data": { - "image/png": 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H4P/G3Adg6OkEleR04B7go1X1/Lj76UNVzVTVecAqYF2St4y5paEleTewr6oeHncvL2o99PYCq+esr+q26TjW/RNm9wBfq6pvjbufvh3pcc4T1IXA5UmeYvbjo4uT/Ns4G2o99B4C1iR5Y5JXAVcCm8bck15GkgC3A7uq6nPj7qcvr+RxzhNRVX2yqlZV1TnM/n09UFV/O86emg69qpoGrgO+y+wH4t+oqh3j7aofSb4O/Bfw5iR7krx/3D315ELgvcyeMbz4L3FfNu6merAC2JrkUWb/Z7ylqsb+9Y6TkY+hSWpK02d6ktpj6ElqiqEnqSmGnqSmGHqSmmLoSWqKoSepKf8Pff8pq2aloxgAAAAASUVORK5CYII=\n", + "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] @@ -456,31 +2317,78 @@ } ], "source": [ - "str_8 = gr_img.copy()\n", - "str_8 = str_8[460:464,322:327]\n", - "plt.imshow(str_8, cmap='gist_gray')" + "FWHM_yg = abs(np.array(FWHM_yg))\n", + "print(FWHM_yg)\n", + "stdyg = FWHM_yg.std()\n", + "print(stdyg)\n", + "meanyg = FWHM_yg.mean()\n", + "print(meanyg)\n", + "medianyg = np.median(FWHM_yg)\n", + "print(medianyg)\n", + "plt.hist(FWHM_yg.flatten())\n", + "plt.title('Valores FHWM en la dirección y para la image roja')\n", + "plt.xlabel('Valor FHWM')\n", + "plt.ylabel('No de imagénes con ese valor')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Para el canal azul\n", + "Para extraer el canal azul, usamos todas las filas, todas las columnas, pero solo el último de los tres canales\n", + "<br> $img[:,:,2]$" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "FWHM_xb = []\n", + "FWHM_yb = []" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 1" + ] + }, + { + "cell_type": "code", + "execution_count": 52, "metadata": {}, "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a5095f8>" + "<Figure size 432x288 with 1 Axes>" ] }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[190.2169832 0.90335067 0.99435099 2.01610059 2.04808311\n", + " -0.27729555 52.66186116]\n", + "2.1272282649036094 2.3415176386132233\n" + ] }, { "data": { - "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 1440x504 with 1 Axes>" ] }, "metadata": { @@ -490,31 +2398,53 @@ } ], "source": [ - "str_9 = gr_img.copy()\n", - "str_9 = str_9[277:284,1071:1076]\n", - "plt.imshow(str_9, cmap='gist_gray')" + "str_1b = img[:,:,2].copy()\n", + "str_1b = str_1b[283:288,890:895] \n", + "plt.imshow(str_1b, cmap ='Blues')\n", + "plt.show()\n", + "\n", + "p0 = [70, 1.7, 11, 1, 1, 0, 0]\n", + "determinar(str_1b,p0,FWHM_xb,FWHM_yb)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 2" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 53, "metadata": {}, "outputs": [ { "data": { + "image/png": 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"text/plain": [ - "<matplotlib.image.AxesImage at 0x7f5d1a4e5e80>" + "<Figure size 432x288 with 1 Axes>" ] }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[205.9355405 1.07443705 1.03024455 2.35673966 2.24362524\n", + " 1.41576639 58.80752854]\n", + "2.5301059117924476 2.42604050765156\n" + ] }, { "data": { - "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 1 Axes>" + "<Figure size 1440x504 with 1 Axes>" ] }, "metadata": { @@ -524,19 +2454,51 @@ } ], "source": [ - "str_10 = gr_img.copy()\n", - "str_10 = str_10[42:50,882:890]\n", - "plt.imshow(str_10, cmap='gist_gray')" + "str_2b = img[:,:,2].copy()\n", + "str_2b = str_2b[252:257,949:955]\n", + "plt.imshow(str_2b, cmap='Blues')\n", + "plt.show()\n", + "\n", + "p0 = [50, 2.9, 2, 4, 1, 0, 0]\n", + "determinar(str_2b,p0,FWHM_xb,FWHM_yb)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 3" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 54, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[191.02580433 2.73160061 2.64058181 8.29780833 6.77398083\n", + " -1.59662047 81.16874448]\n", + "6.432427878391856 6.218094970738713\n" + ] + }, + { + "data": { + "image/png": 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\n", "text/plain": [ "<Figure size 1440x504 with 1 Axes>" ] @@ -548,171 +2510,107 @@ } ], "source": [ - "fig, ax = plt.subplots(figsize=(20, 7))\n", - "ax.imshow(gr_img, cmap ='gist_gray')\n", - "rect1 = patches.Rectangle((889-5, 283-5), 15, 10, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(889-8,283-10,'1',fontsize=10, c='orange')\n", - "rect2 = patches.Rectangle((946-5, 250-5), 20, 20, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(946-8,250-10,'2',fontsize=10, c='orange')\n", - "rect3 = patches.Rectangle((617, 308-5), 20, 20, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(617,308-10,'3',fontsize=10, c='orange')\n", - "rect4 = patches.Rectangle((605, 16-5), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(605+18,16,'4',fontsize=10, c='orange')\n", - "rect5 = patches.Rectangle((542, 347-5), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(542,347-9,'5',fontsize=10, c='orange')\n", - "rect6 = patches.Rectangle((305, 295-5), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(305,295-9,'6',fontsize=10, c='orange')\n", - "rect7 = patches.Rectangle((386, 141-5), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(386,141-9,'7',fontsize=10, c='orange')\n", - "rect8 = patches.Rectangle((320, 458), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(320,458-9,'8',fontsize=10, c='orange')\n", - "rect9 = patches.Rectangle((1071-2, 277), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(1071-2,277-9,'9',fontsize=10, c='orange')\n", - "rect10 = patches.Rectangle((882, 42-9), 15, 15, linewidth=1, edgecolor='r', facecolor='none')\n", - "ax.text(882,42-9,'10',fontsize=10, c='orange')\n", - "\n", - "ax.add_patch(rect1)\n", - "ax.add_patch(rect2)\n", - "ax.add_patch(rect3)\n", - "ax.add_patch(rect4)\n", - "ax.add_patch(rect5)\n", - "ax.add_patch(rect6)\n", - "ax.add_patch(rect7)\n", - "ax.add_patch(rect8)\n", - "ax.add_patch(rect9)\n", - "ax.add_patch(rect10)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [], - "source": [ - "def function(params, x, y):\n", - " A = params[0]\n", - " sigma_x = params[1]\n", - " sigma_y = params[2]\n", - " x0 = params[3]\n", - " y0 = params[4]\n", - " theta = params[5]\n", - " K = params[6]\n", - " \n", - " a = np.cos(theta)**2/(2*sigma_x**2) + np.sin(theta)**2/(2*sigma_y**2)\n", - " b = -np.sin(2*theta)/(4*sigma_x**2) + np.sin(2*theta)/(4*sigma_y**2)\n", - " c = np.sin(theta)**2/(2*sigma_x**2) + np.cos(theta)**2/(2*sigma_y**2)\n", + "str_3b = img[:,:,2].copy()\n", + "str_3b = str_3b[309:324,619:636]\n", + "plt.imshow(str_3b, cmap='Blues')\n", + "plt.show()\n", "\n", - " z = A*np.exp( - (a*(x-x0)**2 + 2*b*(x-x0)*(y-y0) + c*(y-y0)**2)) + K\n", - " return z" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "def Error(tpl,x,y,z):\n", - " # x son las posiciones reportadas\n", - " # y son los valores medidos en las posiciones x\n", - " # tpl es una tupla con los parámetros para calcular el modelo\n", - " zmodel = function(tpl,x,y)\n", - " errors = (zmodel.flatten() - z.flatten())\n", - " return errors" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "def calculator(star,p0,Error):\n", - " x = np.arange(0,star.shape[0],1)\n", - " y = np.arange(0,star.shape[1],1)\n", - " x, y = np.meshgrid(y,x)\n", - " best,suss = leastsq(Error, p0, args=(x,y,star))\n", - " return best,x,y" + "p0 = [50, 15, 10, 4, 1, 0, 0]\n", + "determinar(str_3b,p0,FWHM_xb,FWHM_yb)" ] }, { - "cell_type": "code", - "execution_count": 21, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "p0 = [70, 10, 15, 1, 1, 0, 0]" + "#### Estrella 4" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 55, "metadata": {}, "outputs": [ { - "name": "stderr", + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", "output_type": "stream", "text": [ - "/home/cuellart/.local/lib/python3.7/site-packages/scipy/optimize/minpack.py:475: RuntimeWarning: Number of calls to function has reached maxfev = 1600.\n", - " warnings.warn(errors[info][0], RuntimeWarning)\n" + "[172.85830022 0.7251488 0.96189654 1.94448225 2.24924495\n", + " -6.36452675 71.51882385]\n", + "1.707594921415306 2.265093259490133\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "best_str_1,x,y = calculator(str_1, p0, Error)\n", + "str_4b = img[:,:,2].copy()\n", + "str_4b = str_4b[18:23,607:612]\n", + "plt.imshow(str_4b, cmap='Blues')\n", + "plt.show()\n", "\n", - "best_str_3,x,y = calculator(str_3, p0, Error)\n", - "best_str_4,x,y = calculator(str_4, p0, Error)\n", - "best_str_5,x,y = calculator(str_5, p0, Error)\n", - "best_str_6,x,y = calculator(str_6, p0, Error)\n", - "best_str_7,x,y = calculator(str_7, p0, Error)\n", - "best_str_8,x,y = calculator(str_8, p0, Error)\n", - "best_str_9,x,y = calculator(str_9, p0, Error)\n", - "best_str_10,x,y = calculator(str_10, p0, Error)" + "p0 = [9, 3.4, 6, 1.23, 1.46, 0, 0]\n", + "determinar(str_4b,p0,FWHM_xb,FWHM_yb)" ] }, { - "cell_type": "code", - "execution_count": 23, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "# fig, ax = plt.subplots(figsize=(20, 7))\n", - "\n", - "# ax.imshow(str_1,cmap='gist_gray')\n", - "# ax.contour(x, y, function(best_str_1,x,y), 8, colors='r')\n", - "# plt.show()" + "#### Estrella 5" ] }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 56, "metadata": {}, "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, { "name": "stdout", "output_type": "stream", "text": [ - "-2.23317997909041\n", - "2.0370702496129036\n" + "[165.9928307 1.21438496 1.37811936 4.53438415 4.24417785\n", + " 3.5362753 105.2004878 ]\n", + "2.8596580347727287 3.2452230957557635\n" ] - } - ], - "source": [ - "p0 = [70, 10, 15, 1, 1, 0, 0]\n", - "FWHM_str_1_x = print(2*np.sqrt(2*np.log(2))*best_str_1[1])\n", - "FWHM_str_1_y = print(2*np.sqrt(2*np.log(2))*best_str_1[2])" - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "metadata": {}, - "outputs": [ + }, { "data": { - "image/png": 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6zY4jfqPI5eLFkSM5XK0a98ybR6sjR8yOJMQpyS4kERUchsGjK1fSJSuL17p1Y3GDBmZHikrJO3bQ78MPqbV3LwB5deuSceml7O7dG2zy/VS4KIyN5aVRo3j0p5+4f84cnh89mt3JyWbHEuJX5CuGiHg2w+CBVavofeQIb3XpwvzGjc2OFHWcxcX0/uwzxv3978Tm5zP/7ruZd++9+BwOBr/5JuOfeor669aB1mZHFQG5cXG8OGoUhTExPDR7No2ys82OJMSvyAiMiGg2rbl39WoGHDzIex07MrNpU7MjRZ3G6emkfvop8Tk5bBk+nIzLLsMTuKZhf9euNF+yhG6TJjHypZc42L49GZdfTlbLlianFgDHExJ4YdQoHvvpJx6aNYtnx4zhUPXqZscSApARGBHJtOaPa9cyZP9+PmnXjh9btDA7UVSJP36cIa+9xtDXX8edkMCMP/+Z5ddff6K8gP8gtczzzmPyc8+x/NprqbFvH+P+9jcGv/461Q8cMDG9KHO0WjVeGDUKgIdnzSIlP9/kREL4yQiMiExac8uGDYzes4evW7fmOzldtMoow6DN3Ll0/+47bD4f6VdcwcbRo9GO03+5MZxONo8axfaBA+kwcyYdZsyg8apV7Bg4kLUXXUShrL8w1aHq1Xlx1CgenTmTR2bN4p9jxpCdkGB2LBHlpMCIyKM1N2zezAU7dzKpRQs+b9vW7ERRo8aePfT76CNq79jBgY4dWXbjjRTUrVvu3++Ni2PtRRexZdgwOk+dStu5c2mxdCmbhw9n/YQJlFarFsL04kz21azJiyNH8sjMmTw8axbPjRlDrtzYLkwkU0gi4ly5bRuXbd/O9KZN+bBDB1DK7EgRz15aSo9vvmHCk0+SeOQIi26/nTkPPVSh8nKy0qQkVl5zDZOff56dffvSfuZMLn7wQTr/8AOOkpIgpxfltTs5mX+NGEHNoiIenDWLRPmzECaSAiMiysXbt3Ptli3MadyY/+vcWcpLFai/bh0XPPEEnaZNY8d55/Hjc8+xs3//oHzuC1NSWHLLLUx55hkOduxI94kTufihh2g3ezY2OUPGFNvr1OG1YcOom5/Pg7NnE+92mx1JRCmlQ7Bt0W636/j4+KC/30jl8XjMjmApowILCn9r3M6d/GH9ehY2aMC/evTAkPICwGWXXRaS9xubl0evL76gxdKl5Narx7KbbuJw+/Yh+VhlUrZvp8e331Jv82byU1JYfckl7OrXDx3EM2TmzZsXtPcVyTrv28c98+ezMzmZ7kePUmh2IAupXbu22REsIzs7G4/Hc8ov5lJgwoAUmIo5VYEZsWcPf1qzhqX16vFCz5745FC0E4JeYLSm1aJF9PzqKxwlJayfMIF1EyZguFzB/Thn+PgN1q+n+7ffkrx7N9mNGrHq8svZ37VrUEZ9pMCUX4/du7nz559ZqDXjAJlQKh8pMOV3pgIji3iF5Q3av5+71qwhvXZtXuzRQ8pLCCUdPEjfjz6i3ubNHG7ThmU330xuVZ9qrBQHOnfmQMeONFuxgm7ff8/wV17hSOvWrLriCo60aVO1eaLYqqZNefe887ht0SImAhcBMqEkqooUGGFp/Q4e5L6MDNYnJ/Ns79547XazI0Ukm8dDp2nT6DxlCl6Xi6U338y2QYPMPf7fZmNXnz7s7tmTVosW0XXyZMY88wz7unZl1WWXkdOkiXnZosiyFi1YvmgRHwBfAVcAsjpJVAUpMMKyeh4+zIPp6WytUYN/pKbilvISEnW2bKHvhx9S4+BBdvbpw4prrqGkRg2zY52gHQ62DR1KZv/+tJszh05Tp3L+X//Kzr59WX3JJRTIjeMh9yEQD7wBfAxcDximJhLRQAqMsKQuR4/y2MqV7EpK4uk+fSg5wyFp4ty4Cgvp+fXXtP75ZwpSUphz//0c6NrV7Fin5YuJYcP48WwbMoSO06bRfvZsmi5fzrYhQ1h7wQVhVboi0X+AOOBF/GthbgHkZisRSvJVX1hO++PH+fOKFRxISOCpvn0pcjrNjhRZtKZZWhq9v/iCmPx8Nowdy5qLL8YbE2N2snJxJySQccUVbB45ki4//ECb+fNpuWgRm0aPZsO4cXhkg0HIvAQkAE8BRcDdpqYRkU4KjLCUnobBk2lpZMXG8td+/civqp0vUSLx6FH6fPwxDdetI6t5c+Y88ADZFr0As7hmTdJuuomNY8bQbeJEukyZQtt581h3/vlsGT4cn7x2QuJp/NNJD+MvMY+YG0dEMCkwwjI6GwZTPB5y4+P5c79+5FhkRMAKlM9Hh5kz6TppEtpmY/m117JlxIignq9ilvx69Vh0xx1sGDeO7t99R6+vvqL9rFmsuegidpx3HlrWTgXdI/y3xBQCfzM3johQUmCEJbQ1DKZ5PBQBT/Xrx3G5gyVokjMz6ffhh9Tas4e93buTdv31FEXg5YnHmzVj7oMPUnfTJnp8+y39P/iAjjNmkHHppezp1UtObQ6yP+FfE/M0UIx/bYwQwSQFRoS9Flozw+PBB4x2OmkpaxiCwlFcTPfvv6ftnDmUVK/OgrvvZk/PnhH/ID/cvj0z/vIXGqen0/377xnyxhtkNW/Oqssv51DHjmbHixgauA1/iXkB/3TSf0xNJCKNFBgR1hprzU9uN05gpNPJDpuNlmaHigCNVq2iz6efEp+dzZZhw8i47LLoWtyqFHt79WJf9+60WLyYbpMmMeqFFzjQsSOZzZqxKyXF7IQRwQBuxF9i3sBfYj40NZGIJGctMEqpD4AJwBGtdafQRxLCr36gvFQDxjidbI6A9Rhmizt+nNTPP6fpypVkN2rEz3feSVarVmbHMo2229kxaBA7+/al7bx5dJ4yhac2bGB506ZM7N6dQ9Wrmx3R8rzAVcBk4D3800lfmRlIRIzyjMB8hL88fxLaKEL8V22tme7xUAcY53SyRspLpSjDoM28eXT/9ltsPh+rLr+cDWPGoOX8HAAMl4tNY8awffBg4t56izEbNtBzzx4WtWrFD127kp2QYHZES3MDlwDTgE/xnxMz2cxAIiKc9auX1nqhUqpZFWQRAoAaWjPV46Gp1lzgdLJCykulVN+3j/4ffEDtHTs40LEjy268kYK6dc2OFZY8cXHM7NaNuW3bcv66dQzbsoX+mZnMadeOH7t0oUS2Xp+zEuACYBbwNXAh8JOpiYTVBe3bL6XUbfjXbKEifBGgCK0HfD46aM1FTie/SHmplCZ5eYx55hm03c6i225jZ//+Eb9INxjy4+L4IjWVWe3bc/Hq1YzZsIG2hw/z4qhRlMjBieesEBgL/Ay8A8htVaIygvZ00Fq/o7XupbXuJQVGVMY4w2ChUsyV8lIptYuKeDotDZ/LxbQnn2TngAFSXiooq1o13h04kDeGDqXZsWPcO3cuLq9cVVgZefgX8jYG6pucRVibPCFEWGmsNR21ZqaUl0qpVlrK08uWEePzMefBBymsXdvsSJa2qkkT3j3vPNocPsxdCxbg8PnMjmRpKwP/7GlqCmF18pQQYWW04b/D9icpMOcs1uvlyeXLqV1czN979yancWOzI0WEZS1a8FG/fnTZv58/LFyIzZD7ls/VasCHFBhROWd9SiilvgSWAm2VUvuUUr8PfSwRrUYbBjuBrTLVcU4chsFjK1bQMjeXF3r2ZFMEnqhrpoVt2vB579702rOHWxYvRmm5b/lcFAGbgF5mBxGWVp5dSFdXRRAhXFozzDD4xGaTtRrnQGnNPatX0z0ri9e6dmVFvXpmR4pIszt0IMbr5bKMDEodDj7u21der+cgHRhldghhaXIIhAgbA7UmAWT9y7nQmt9v2MDg/fv5qH175jaR/R2hNLVLF2K8Xs5ft45Sh4Ov5C6lCluJ/5TeBsABk7MIa5ICI8LGKMOgBPhZCkyFXb59Oxfs3MnkFi2Y2FIuW6gK33fvTqzHw5iNGyl1OJjUvbvZkSwlPfDPnkiBEedGCowIG2MMg5+Voli+k62Qkbt3c/3mzcxv2JAPO3SQkYCqohRfpKYS4/Vy4dq1lDocTO/c2exUlrGa/y7knWJuFGFRUmBEWGihNW215m052r5C+h48yB1r15Jeuzavd+uGlvJSpbRSfNivHzFeL1esWkWp08ncdu3MjmUJxcBGZCGvOHfytBBhYVRgS6qsfym/jllZPLhqFdtr1OC5Xr3wyefOFNpm452BA3H6fFyflkapw8EvUXxBZkWsxH8yrxDnQr7iibAw2jDYphSZMoJQLs1yc/nzihUcio/nb336UCojV6by2Wy8NXgw6+vX53dLltB71y6zI1lCOlAPaGh2EGFJUmCE6WK1ZohhyOF15VS3sJCn0tIocjh4qm9f8uWCwbDgsdt5fehQttWuze0LF9J1716zI4U9OZFXVIY8MYTpBhkGccj0UXnUKC3l6bQ0HIbBU337khUXZ3YkcRK308mrw4ezp1Yt7lqwgPYHD5odKaytAbzIOhhxbuSJIUw3xjAoBBbJ9NEZxXk8PLlsGcnFxfw9NZW91aqZHUmcQrHLxcsjRnAoKYl7582j1ZEjZkcKWyXABmQERpwbKTDCXFozxjCYb7NRKgXmtBw+H4+vXEmz/Hye69WLLbVqmR1JnEFhbCwvjRpFdnw898+ZQ9Njx8yOFLbSkREYcW6kwAhTtdKaFsj00ZnYtOaBjAy6Bq4ISK9b1+xIohxy4+J4YdQoilwuHpo9m4bZ2WZHCkvpQB2gkdlBhOXIU0OYakxg+/QsKTCnpjW3rVvHgIMHeb9DBxbIzdKWcjwhgedHjcJjs/HQ7NnUzcszO1LYKVvIK6MwoqLkqSFMNcYw2KgUu2X66JSu2rqVcbt3833LlvwgVwRY0tGkJF4cNQqbYfDwrFkkFxSYHSmsrMW/kFfWwYiKkgIjTJOgNQO1lu3TpzF21y6u2bqVOY0b83H79mbHEZVwoEYNXho5kji3m4dmzaJ6UZHZkcJGCbAeGYERFSdPDmGaIYZBDLL+5VQGHDjA7evWsbxuXd7o0kXuN4oAe5KTeXnECGoUF/PQ7NkklpSYHSlspCMjMKLi5MkhTDPaMMgHlsjD+Ve6ZGVxf0YGm2vW5IUePTCk4EWMHXXq8OqwYdTJz+fB2bOJc7vNjhQWVgK1gSZmBxGWIl8ZhTkC26fn2mx4pMCc0CInh8eXL2d/QgJ/T03FHaFXBMTk5REbpQtaN9evzxtDhtAoJ4f758whxuMxO5Lp0gP/lFEYURFSYIQp2mtNE2T66GT1Cwp4Ki2NfJeLp/r0oTBCrwhosXgxV959N1fcfTcN1q41O44p1jZqxNuDBtEyK4t75s3D6fOZHclUawEPsg5GVIw8PYQpxsjt079Ss6SEvy1bhgKe6tuX4xF6RUCTlSvp/+67HGvalJwGDRj6+uvU37DB7FimWNm0Ke8NGECHQ4e4c8EC7FFcYkrxL+SVERhREfL0EKYYYxisVYoDMn1EgsfDU2lpJLndPN2nD/sTE82OFBIN1q5l4JtvktWyJTMff5yZjz9OXt26DH31Vepu3mx2PFMsadmSj/v2pdu+fdy+aBEqUOyj0UpkBEZUjBQYUeWqaU1/rWX0BXD5fDyxfDmN8vN5tlcvtteoYXakkKizeTNDXn+d3IYNmXv//XhjYymtVo3ZjzxCQUoKw/71L2pv3Wp2TFPMb9uWr3r1InX3bn63ZAlKa7MjmSIdSAaamh1EWIY8QUSVG2YYOCHqz3+xGQYPrFpFp+PHea17d1bXqWN2pJBIzsxk2CuvUJCSwuyHHsKTkHDi10qSkpj9yCMU1azJ8JdfJmXHDhOTmuenjh2Z1LUrA3fs4Nq0NIjCEiMn8oqKiu4niDDFGMMgB1gWzdNHWvPHdevod+gQ73TsyMKGDc1OFBI19u5lxEsv+UdbHn6Y0qSk/3mb4ho1mPXII5QkJTHipZdI3rnThKTm+6FrV2Z07MiILVu4fNWqqCsx6wA3sg5GlJ8UGFG1tGa0YTDbZsMXxQXm2i1bGL1nD1+3bs3UFi3MjhMS1Q4dYuSLL+JzOpn9yCMUn+EG7eJatZj96KOUxscz4sUXqbl7dxUmDRNK8XXPnsxt25bx69dzQZTt0HLjLzEyAiPKSwqMqFJdtKYB0X1544TMTK7cto2ZTZrwedu2ZscJiYSsLEY9/zzKMPzrXGrXPuvvKUxOZvajj+KNiWHkCy9QY9++KkgaZpTisz59+KVlSy5ZvZrRUbZDS07kFRURvU8RYYrRUX779KD9+7ltwwaW1qvHW507R+QVAXE5OYx84QWcJSXMeeghchs0KPfvLahdm1mPPorhcDDy+eepfuBACJOGJ60UH/Tvz4qmTbl65UoGR9Hi5pVALaC52UGEJUTnU0SYZoxhkK4UhyPwwX023Y4c4Z6MDNbXqsVLEXpFQExBASNeeIG4nBzmPPAAx5tWfE9Jft26zHr0UVCKkc89R7VDh0KQNLwZNhtvDxzImoYNuXHpUvpFyeJmOZFXVETkfQUVYauG1vSN0u3TrbOzeWzlSvZVq8Yzqal47HazIwWds7iY4S+9RNKRI8y/916yWrU65/eVV78+sx55BGUYjHruORIPHw5iUmvw2e28MWQIm+vV45bFi+kRBeuC1uNfCyPrYER5RN+TRJhmhGFgJ/q2TzfMz+fJtDRyY2L8VwQ4nWZHCjp7aSnD/vUvau3Zw4K77uJQhw6Vfp+5DRsy++GHcbjdjHr+eRKysoKQ1Fo8DgevDRvG7lq1+N3SpcRG+L1JbvzXCsgIjCiP6HqSCFONMQyygJVRNH2UXFzM02lpGErxZN++ZMfGmh0p6GweD0Nff53a27bxy+23s79bt6C975wmTZj98MM4i4sZ9dxzxB8/HrT3bRWlTief9ulDYmkpw6PgxGJZyCvKSwqMqBJKa0YaBnNsNowoKTCJbjdPpaWR6PHwVJ8+HDzpALdIoXw+Br71Fg3Wr2fZ737Hrj59gv4xjjdrxpyHHiKmoIBRzz1HXHZ20D9GuNtZuzZrGjZkzIYNET8KsxKoCUTm4QIimKTAiCrRXWvqEj3TRy6vl78sX06DwkL+2bs3mZF4RYBh0P+992ians7ya69l+6BBIftQx1q0YM6DDxKXm8uo558nNjc3ZB8rXE3u2pVqUTAKU7aQV9bBiLNxhOKdaq0pLS0NxbuOSNWrVzc7QshdUFSE4fGwNCmJapUsMRMmTAhSqtBQPh+j3nqLJjk5zLn1Vpr07EkTE/PccMMNwX+nWsMdd8CSJfCPf5D6xBOkBv+j/K+RI6k+ZgxX/N//wfz5UI7zZSqqpKQk6O8zWPbs2cP5W7aQf+ONeMNoOvK7774L2vvaqTWlRUX0dTqZ5nIF7f2Gk5iYGLMjWIY6w4h9dHw7LEw3wu0m3eHgeKSPwGjNoE8/pem6dfxy9dXs7BmBs/lawyOPwNtv+//5+ONV97EHDoSpU2HHDhgxAo4dq7qPHQbSJ0wgtrCQjgsWmB0lZDxKsd5mo7vPZ3YUEeYi/GkiwkEtw6CH18vcCP1u6mR9Jk6k7dKlrJwwgU2DB5sdJzT+8Q948UW480549tmqP4xv6FD44QfYsgVGjYKcnKr9+CY62rw5ezp2pMvs2TjCeKSosjJsNroZRtTdByUqRgqMCLmhbjc2YE4Ebh8+WefZs+k6axYbBg9mVZhPc52zV1+Fv/4VbrwRXn/dvJOER42CiRNh3ToYPRry8szJYYJVEyYQV1BAx59/NjtKyGTYbNQAWkiBEWcgBUaE3AiPhyNKsdYRkiVXYaH1smX0++47Mnv0YMlVV0XkFQG89x7cdx9ceqn/382eDhw3Dr79FlatgrFjoaDA3DxV5EiLFuzt0IEus2ZF7CjMqsBrq0fg6hEhTkUKjAgpm9YMc7uZ53KhI/GhDiRmZTHw00/Z37Yt8373O7TZD/ZQ+PJLuO02f1H44gsIlzJ64YXw1VeQlgbjx0NhodmJqkR6YBSmQ4SOwmyy2SgB/zSSEKcRgV9pRTjp4fVSS+uIXv/S9/vvQSkW3HQTRiROk/34I1x/PQwaBN9/D+H2Z3nppfDpp/DLL3DBBVBcbHaikDvSsiV7O3Sg6+zZOCJwx6dXKdbZbPSQhbziDKTAiJAa7nbjA+ZH4oMdqL91Ky1WrWL1mDEU1qpldpzgmzMHLr8cevaEKVMgLs7sRKd29dXw0Uf+rdUXXQQROrVyslUTJhCXnx+xozCrbTa6GgZK1sGI05ACI0JqhMfDCoeD3AicVlGGQb+vvya/Vi3WjBpldpzgW7zYP0XTrh3MmAHVqpmd6Myuv96/NmfWLLjsMnC7zU4UUodbtmRf+/Z0nTUrIkdhVtlsVAdaSoERpxF5TxURNuoYBt28XuaE25RDkLT95RdS9u0j7ZJL8EXa/+OqVf5Fso0a+QuBVUaXfvc7//k006bBlVdChB+7nx4YhWm/cKHZUYIuI/BNT3dZByNOQwqMCJlhge+AI7HAuIqK6P3jjxxs1YrMXhF26PnGjf5tyjVr+qeQ6tY1O1HF3H67f4v35Mlw7bXg9ZqdKGQOt2rlH4WZOTPiRmE2BxbyyoF24nSkwIiQGeF2c9BmY4PdbnaUoOsxbRqxBQUsufLKyNoyXXbCrdPpLy+NG5ud6NzcfTe8/LJ/m/WNN0IEPwTTJ0wgPgJHYbxKsdZmkxEYcVpSYERI2LVmiMfDXKczsh7wQPVDh+g0bx5b+vfnWBMzbzkKsn37YPhw/9qROXOgVSuzE1XO/ff7Twr+4gv4/e8hQh+EJ4/C2CNs3Y8s5BVnIgVGhERvr5fqWkfk9FHf777D63Kx4qKLzI4SPEeO+EdesrNh5kzo2NHsRMHx6KPw9NPw8cf+qaUILTFlozCRtiNplc1GEtBKCow4BSkwIiRGuN14gJ8jbPt04/XrabpuHavGj6c4KcnsOMGRne1f87Jnj3/xa6RdQPmXv8ATT/h3KN11V0Ter3O4VSv2tWtH11mzImoUJiMw/SzTSOJUpMCIkBjudrPM6aQggrZPK5+Pvt9+S26dOqwfNszsOMGRn+8/XXfTJv8FieedZ3ai4FMK/v53eOgheOst/3UIEVhiVk2YQHxeHh0iaC3MZqUoRhbyilOLnKeLCBv1fT46+Xz+9S8RpOOCBdQ8dIill12GES5H6VdGcbH/5NqVK+Hrr2HkSLMThY5S8PzzcM898Npr8PDDEVdiDrVuzf62bSNqLYwvsJBX7kQSpyIFRgTd8MDZG5G0/iU2P5+eU6awt0MH9nTpYnacynO7/Ye9/fyzf31IJK3nOR2l4JVX4I474KWX4M9/jrgSkx4YhYmkHUkZNhtdDANbhP1ZicqTAiOCbrjbzV6bjS0RtH26148/4iwtZenll1t/V5XXC9ddB9On+w99u/ZasxNVHaXg3/+GW2+Ff/7TP7UUQQ61acP+tm3pFkGjMBk2G9WA1lJgxG9IgRFB5Qxsn57jcln/QR9Qa98+2i1axMbBg8lp0MDsOJVjGP6H97ff+kchbrvN7ERVz2bzF7ebboInn/RvtY4gZWth2i9aZHaUoChbyCs3U4vfkgIjgqqPx0Oi1syJlPUvWtPvm29wx8eTfv75ZqepHK39a0A++sj/4H7gAbMTmcdm8+9KuuYaePxx/6F3EeJgmzYcaNOGbj/9FBGjMFuUogjkZmrxP6TAiKAa4fFQCvwSIetfmmVk0HDLFlZecAGlCQlmx6mcJ56AN97wH/D25JNmpzGf3e5f/3P55fDgg/7rByJE2VqYdr/8YnaUSvMpxRo5kVecQgRspRDhZLjbzRKnk6IImD6yezz0/f57jjdowKaBA82OUznPPuv/cdtt/qmjCPjzCQqHAz7/3H/p4z33+K9QiIC1Wwfbtj0xCrN54EB8Fh8RXW2zcYPXi01rDHntigAZgRFB09jno53Px9wIGX3pPGcOSVlZLLniCrSVH2r//rd/muSaa+DNN6W8/JbT6d9GPn483HEHbSNg1AL8ozAJubm0i4C1MKtsNhKANrKQV5xECowImuGB+fbZEVBg4nNy6D5jBju7deNA+/ZmxzlnbRYvhj/9CS680L/2xcpFLJRcLvjuOxg9mkGffUbrpUvNTlRpJ4/C2ANHG1jV6rITeWUdjDiJFBgRNCPcbnbabGRGwOm7vSdPxubzseyyy8yOcs6ap6cz6NNP/QfUff21f6RBnF5sLEyaxP62bRn88ce0XL7c7ESVFimjMFuUohC5UkD8mvWfNCIsxGjNeR6Pf/rI4lMUtXfupO3SpawbPpz82rXNjnNOGq9bx/D33uNwy5YwaRLExJgdyRri4ph5550cat2aoR9+SPP0dLMTVcrBNm040Lq1/1wYC4/CGLKQV5yCFBgRFP08HhKIgNN3tab/119TlJRExrhxZqc5J/W3bGHk229zrFEjfrrrLrD67qkq5nO5+OnOOznSvDnD33uPpqtXmx3p3CnFqgkTSMjJsfyOpNWBE3ntsg5GBEiBEUExwu2mGFhs8WmKVsuXU3fnTpZffDGe2Fiz41RYncxMxvznP+TVrs30e+7BExdndiRL8sbGMuPuuznatCkj3nmHxuvWmR3pnB1o25aDrVrR1eJrYcoW8raVAiMCpMCIoBjhdvOL00mJhaePHCUl9Jk4kSNNm7K1b1+z41RY8t69jP33vylKSmLaffdRmphodqTTy8mB48fNTnFGnrg4ZvzpTxxv2JCRb79Nw40bzY50bpQi/fzzSczJsfQOq7KFvN1kIa8IkAIjKq25z0dLw7D89uluM2eSkJPD0iuv9J/UaiHVDx1i3Guv4YmJYdp991FcvbrZkU7v22+hZk1IToZ588xOc0bu+Him33svOfXqMfrNN2mwebPZkc5J2ShMt59+wmbRUZitSlEAcjO1OMFaX6VFWCrbPm3l9S+JWVl0mTWLbamp/oWvFlItK4vxr7yCBqbddx8FyclmRzq9adP859G0awfNm8P550OY75ApTUhg+r33kle7NqP/8x/qbd1qdqSKU4r0CRNIzMmh3eLFZqc5J4ZSrLXZ5E4kcYIUGFFpI9xuttnt7LbwGSN9Jk4EpVh+8cVmR6mQ+Jwcxr/yCg63m+n33ktu3bpmRzq9+fPh0kuha1dYtgyWLoUmTWDcOP+/h7GSatX85bBWLca+8QZ1d+wwO1KFHWjXjkMtW1p6FGaVLOQVJ5ECIyolTmsGeDyWvryx/tattExPZ/WYMRTWqmV2nHKLzc9n/KuvEpuf71+r0aiR2ZFOb9ky/2hLy5bw009QvTrUrQtz50L9+jBmDKxYYXbKMyoOrC0qql6dsa+/Tu2dO82OVDFla2Gys2m7ZInZac5Jht1OPNBOCoxACoyopPM8HmKx7vSRMgz6ff01+bVqsWbUKLPjlJurqIhxr71GtawsZt51F0ebNzc70umtXg1jx0K9ejBnDqSk/PfXGjTwr4NJSYFRoyAjw7SY5VFUowZT77uPksRExr3+Osl79pgdqUL2B0Zhus+YYclRmIzA2jRZyCugHAVGKdVYKTVfKbVRKbVBKXVPVQQT1jDC7aYQWGbREZi2ixeTsm8faZdcgs8iJcxRWsqYN96g5oEDzP7DHzjYpo3ZkU5v82Z/MUlM/O9oy281auQvMUlJMGIErF1b9TkroLBWLabefz/u2FjGv/oqtfbtMztS+ZWthbHoKMw2pchHFvIKv/KMwHiBB7TWHYC+wJ1KqQ6hjSUsQWuGu90sdLlwW3D7tKuoiN4//MDBVq3I7NXL7DjlYvd4GPXmm9TJzGTeLbewt1MnsyOd3s6d/kKilL+8NG16+rdt2tS/RiYuzv97wnzLckFyMlPvvx+v08n4V16h5oEDZkcqt/3t21t2FEYHTuSVhbwCylFgtNYHtdarAv+eD2wCGoY6mAh/rXw+mhqGZde/9Jg2jdiCApZceaUlrj9QPh8j3nmHRps38/ONN7KzRw+zI53egQP+IlJUBLNnQ3lGiVq08JcYhwOGDYMtW0KfsxLya9dm6v33Y9jtjH/lFaofOmR2pPKx+ChMhizkFQEVWgOjlGoGdAfSQpJGWEqq1wtY9/Tddr/8wu4uXTjWpInZUcql6dq1NF27lvVDhrCtXz+z45zZc89BZia89x506VL+39e6tf9W6MOH4fHHQ5cvSPLq1mXO7bcTn5dH6qRJZscpt/3t21NQsyYtLHjX01abjTigsRSYqFfuAqOUSgS+B+7VWued4tdvU0qtVEqt1PLCigpHAwvqaln0z/tgmzbUyczEFihi4W5vx45kNW5Mm2XLwv+7/T/+EapVg2ee8Y/ClJfbDU88AS4XPPBA6PIFic3rpffkyfgcDtZaaBF4/a1bSczOZndFymWYaGcYFAH7LDBqKkKrXAVGKeXEX14+11pPPNXbaK3f0Vr30lr3UvLCigrbA+e+tLLojoANgwcTn59P8zDf+VLG53Ix84478DmdjH7zTVwVKQZVrX17+OIL/66i3/8eylNytYY774QFC+CDD6B//5DHrBStGfDllzTYupWfr7/eOgcgak3PKVMorF6dTYMGmZ2mwlINgwybDa88Z6JeeXYhKeB9YJPW+l+hjySsYo/NhhvrFph9HTqQW7s2HRYsMDtKuRXWqsXs22+nWlYWw957DxXOixknTPCPwHz1FTz//Nnf/pVX/FNOTzwB114b+nyV1HnOHNr/8gsZY8ey3UJ3ZzXYvJkG27axeuxYy+y8KxOjNV0NgzQLH5opgqc8IzADgOuBYUqp1YEf40KcS1iATyl22e20tGiBwWZj4+DB1N++3VJbYQ+1bs3iq66iyYYN4b/u4tFH4aqr/OtZpk49/dtNnQoPPgiXXQZ/+1vV5TtHTdaupe/335PZowcrLrjA7DjlpzW9pkyhoGZNNp93ntlpKqy7YeACllvsrjIRGuXZhfSL1lpprbtorbsFfkyvinAi/G23coEBtvbvj9fppMPPP5sdpUI2DxrEhsGD6TprFq2WLTM7zukpBe+/D927++9A2rTpf99m7Vq4+mro0QM+/jjsL9KstW8fw957j6zGjVlw001hn/dkjTZupN6OHWSMG4fPgovvUwMjjstlBEYgJ/GKStput9Pc58Nm0YW8pQkJ7Ojdm9ZpaTiLi82OUyFLrrySA23aMOjTT0nZtcvsOKcXHw+TJ/vPeLnwQsjO/u+vHT7sv2IgKQl++MH/tmEsLi+P0f/5D564OGbecQfemBizI5Wf1vT68Ufyk5PZEu7ri06jj8/HTqU4IutfBFJgRCXtsNuJAZqE81qMs9gweDDO0lLahPNIxilou505t91GcfXqjHrrLeJyc82OdHqNG8PEibBrl3+0xeeDkhK4+GI4ehR+/BEahvfxUnaPh5FvvUVcfj4z77iDopo1zY5UIY3Xr6fOrl2sGjcOw+EwO07FaU2qYcj0kThBXgmiUqy+Ewkgq1kzjjRr5p9GsthIUkm1asz84x+JKSpi5Ntvh/fJqgMGwJtvwsyZ8PDDcMst/luoP/sMevY0O92Zac2gTz6hXmYm82++mawznSocjgKjL3kpKWwN9zOETqOx1tTXWqaPxAlSYESl7Ah8MbHyOhiADUOGUPPgQepv3Wp2lAo73rgxC26+mXqZmQz84ovwLmG33AJ33QX/+hd8/rl/l9Ill5id6qy6z5hB6+XLWXHhhewM97J1Ck3XrKH2nj2kT5iAtmgB6BMY5U2TERgRIK8EUSnHlCJbKcsXmMyePSlJSKCjhbZUn2xnjx6kjx9P2yVL6DRvntlxzuxf/4IrroA//Qkee8zsNGfVPD2d3j/8wLY+fcgYO9bsOBVnGPSaMoWcOnXYnppqdppzlurzUQSslwIjAiw4ESrCilJst9stPYUE/kPitvTvT+e5c4nPzrbc+gaA9AkTqLV/P32/+47sBg3Y37692ZFOzemEr782O0W5pOzaxdAPP+RQy5YsvP56S9yZ9VvNMzJI3rePeb/7nWVHX8C/A2mVHGAnTiJVVlTajggoMAAbBw9GaU37X34xO8q5sdlYcPPN5NSrx/B33qHa0aNmJ7K0+OxsRr/1FsVJScz6wx8sue1YGQY9p0whu149dvTubXaccxYrB9iJU5ACIyptu91OfcMgwcI7kcB/u/Dejh1pt2gRyqKFzBMby8w77gClGP3mmzhLSsyOZEmO0lL/56+4mJ/uvJOSpCSzI52TFunp1Dp40L/2xcJTL90NAydygJ34NXk1iEo7sZDX4gUG/KMwCbm5NFu92uwo5yy/dm3m3HorNQ4dYugHH0AE/LlUKcNg6IcfkrJ3L3NvvZXsMN/efTploy/HGzQg04ILj0+WGviGQnYgiZNJgRGVtj1CdiIB7O3UibzkZMsu5i1zoH17ll5+Oc3WrIEnnzQ7jqX0/vFHmmdksOzSS9nbubPZcc5Zy+XLqXH4MOnnn2+p04JPpY9hkKkUR2X9iziJtV/VIizstNsxgFZer9lRKk3bbGwaNIgGW7dS88ABs+NUyoahQ9k8YAD84x/w7bdmx7GGTz+l+4wZbDrvPNaNGGF2mnOmfD56TptGVqNG7OzWzew4lSMH2InTkFeEqLRSpdhjs0XEQl6Azeedh9fhsNz9SP9DKX65+mro3x9uugksPC1WJRYvhltu4UCbNiy++mpL7jgq0zotjepHjkTE6EsTraknB9iJU7D2K1uEjUjZiQRQmphIZq9etF62zPKLYA2nE77/HmrVgosu8h/bL/7Xrl3+aw2aNGH2H/5gzaP2A5TPR49p0zjapAm7u3Y1O06lyQF24nTkFSGCYkfZrdThfApsBWwcPBhXSQmt0tLMjlJ59erBpEn+ixMvuwzcbrMThZe8PJgwATwemDqV0oQEsxNVSpulS0nKymLlBRdYehSpTKrPRyFygJ34X/KKEEGx3W4nAagXITtejjRvztEmTfyLeSOhlPXqBe+/DwsXwj33mJ0mfPh8/sslN2/2rxNq29bsRJVi83rpMW0ah5s3Z2+nTmbHCYqyA+x8EVDGRHBJgRFBEQmXOv6KUmwcPJhaBw5Qb/t2s9MExzXX+C9RfPtt/w8BDz0E06fDG2+AhRftlmm7eDHVjh+PmNGXWK3pIgfYidOQAiOCIuIKDLA9NZXS+HjLb6n+lX/+E8aNg7vv9o/GRLN334VXXvHfyfSHP5idptLsHg/dp0/nUMuW4XuNRAX1kAPsxBnIq0IExUGbjUIiq8D4XC629OtH81WriMvNNTtOcNjt8MUX0LIlXHop7N5tdiJzzJ8Pd9wBY8bAyy+bnSYo2i1aRGJOTsSMvsB/D7BbISMw4hSkwIjgUIrMCNqJVGbT4MHYDIN2Vr0f6VSqV4cffvAvWr3wQigsNDtR1dq61V/e2rSBr74CC+84KmN3u+k+YwYH2rThgMXX8Zysj2GwQw6wE6chBUYEzfaynUgRJLduXfa1b097C9+PdEpt28KXX8LatXDzzZGxULk8srPh/PP9I1FTp/rLXATosHAh8Xl5/nNfIuVhLwfYibOQV4YImu12O00MA1eEPQw3DBlCYnY2TdeuNTtKcI0dC88/7999889/mp0m9Dwe/zbyXbv828qbNzc7UVA4Skvp+tNP7GvXjoNt2pgdJ2iaak1dOcBOnIEUGBE02+12bEDzSBqpAPZ07kxBzZp0iKTFvGUefBCuuw7+/Gf48Uez04SO1v6Fy/Pm+Rfvnnee2YmCpsOCBcTn5/tHXyJIqhxgJ85CXhkiaLYH1hJE2joYbbezcdAgGm3eTPVDh8yOE1xKwTvv+M+JufZa2LDB7ESh8frr8H//B48+CjfcYHaaoHGWlNBt5kz2dujA4VatzI4TVH18PgqADVJgxGnIK0METWbgC02kFRiALeedh89ut/79SKcSFweTJ0Nion9R7/HjZicKrhkz4P77/VcpPPOM2WmCquP8+cQWFvp3HkUYOcBOnI0UGBE0BTYbhyLoUseTFSclsbNHD9osXYqjtNTsOMHXsCFMnAh798KVV0IE3CwOwPr1/v+fLl3g008tf7HhyZzFxXSZNYvdnTtzNELW85SJ05rOcoCdOIvI+dsswsJ2u50WEVhgwL+YN6a4mFbLl5sdJTT69fOf0Dtnjv+EWqs7csS/4yghAaZM8Y8wRZBO8+YRW1QUkaMvcoCdKA95dYig2h6BZ8GUOdyyJccaNfJPI0XYTqsTbr7Zf1fSq6/CRx+ZnebclZbCJZfAoUP+xcmNGpmdKKhcRUV0mT2bnd26caxJE7PjBJ0cYCfKQwqMCKrtdju1tKZWhFzq+CuB+5FS9u6lbmam2WlC56WX/PcC3X47LF1qdpqK0xpuuw0WL4aPP4bevc1OFHSd58whpriY9AkTzI4SEqmGwXalyJL1L+IMpMCIoMqMwDuRTrYtNRV3bGxkbqku43DA11/7Ry0uuQT27zc7UcU8/zx88gk8/TRccYXZaYIuprCQznPnktmjB8cbNzY7TvBpTR+fT85/EWclBUYEVSRe6ngyb2wsW/v1o8WqVcTm5ZkdJ3Rq1fJPvRQU+HfvFBebnah8Jk2Cxx6Dq6+Gv/zF7DQh0WX2bJylpRE7+tJMa+og61/E2ckrRATVHpsNN0TclQIn2zh4MHavl3aLF5sdJbQ6doTPPoOVK/1TMuG+7icjw38oX58+8P77kXOk/kli8/PpNG8eO3r1IrthQ7PjhIQcYCfKS14hIqh8SrEzAu9EOllO/frsb9uW9gsXoiJxrc/JLrwQ/v53f5EJ51ubDxzw7zhKTvafaRMXZ3aikOg6axZ2tztiR1/gvwfYbZQCI84iZNewqgj87idUfBH2sN9ms9Ha6w3Z/9fq1atD8n4rpGlTbtuyBe8PP7AuzM/gmDx5cuXeQceO9O7fnwaPPMLSvDyO9OgRlFzBYi8t5bw//5lqx46x8NlnyVu2rFLvLz09PUjJgqtaURE3zZ3L8pYtmbd/v/XWJpVTqmGQHuEH2BUVFZkdwTKMM3yTKBVXBN0Om43mhoE93KccKmFts2bkJCQwKFKP3j+ZUqy6+27ymjSh98svkxhOD07DoMfrr1Njxw5W3n8/ec2amZ0oZMasWYPdMJjWs6fZUUImPnCAnSzgFeUhBUYE3Xa7HRfQJIKnVwy7nUUdOtBx715q5+aaHSfkfLGxLHvsMQyHgz7PPoujsNDsSAC0++orGi5ZwoYbbuBQBG6XLlO9sJBBGzeS1ro1R6pXNztOyPQwDBzI+hdRPvIqEUFXthOpZQQXGIDF7dvjs9kYGA2jMEBxnTosf/hhEg4dotcrr4DJU5+NFi6k3bffsnv4cLZfeKGpWUJt/KpV/tGXMJu+CzY5wE5UhBQYEXTbAt89tY6wtT2/lZeQwOrmzem3eTNOj8fsOFXiWMeOrL3lFuqlp9Ph889Ny1Fz82a6v/EGWR06sPr22yNyx1GZrrt2MXjTJuZ37EhWUpLZcUIq1TDYphTHIvjPUwSPFBgRdMdtNo4rFbFnwZxsYadOJJSW0nPHDrOjVJldY8awc/Ro2kyaRKOFC6v848cdOUKf556jpFYtlj/yCNrprPIMVSU5L48bFyxgd0oKk/r0MTtOaMkBdqKCpMCIkNhhs9EqwqeQALbVr8+BmjUZvH59+J+TEkRrf/97sjp0oPt//kON7dur7OM6iovp++yz2D0elj7xBO4IHpGw+3zcOncuNq15Z8QIvBH+YG+uNbWRA+xE+ckrRYTEtgi+1PFXlGJhp040PXqUpkeOmJ2mymink+UPPURp9er0ee45YrKzQ/9BfT56vvIK1fbsYflDD1EQicfon+SStDSaHz3Kx4MHR/zUEcgBdqLi5JUiQmK7zUZ9rUmMglGJ5W3aUOx0Mn7lyqgahXHXqEHaY4/hLCgg9YUXsIV4HVDHTz+l/ooVrPv97znarVtIP5bZuu7axYj165nXsSMZLVqYHadK9PH5yEcOsBPlJ68UERIndiJFwShMicvF1NRUOu3ZQ98tW8yOU6Vymzdn1d13k7x5M13eeSdkBa7pnDm0/uEHMseOZee4cSH5GOHi5HUv3/fta3acKlN2gJ0hC3hFOUmBESFx4lLHKFgHA7Cgc2e21a/P5YsXU6OgwOw4VerAgAFsufxyms2ZQ4vp04P+/pPXr6fr229zuFs31v3+90F//+Ek2ta9lInXmk5ygJ2oICkwIiR22mwYRP5W6jJaKT4dOhSbYXDtggVRNZUEsOmqqzjYuzedPviAlLVrg/Z+Ew4epM/zz1NYrx4rH3wQHeEPuGhb91KmpxxgJ86BvFpESJQqxR6bLToW8gZkVa/O5L596bh3L/03bzY7TtWy2Ui/914KGjYk9cUXiT90qNLv0llYSN9nnkErxdInnsCTkBCEoOGrbN3L3E6dombdSxk5wE6cCykwImS222wRfxrvby3s1ImtDRpw6ZIl1MzPNztOlfLGx7PssccA6PvPf+IoLj7n96V8Pnq/+CIJhw+z/JFHKKpfP1gxw1JyXh43LVjArtq1mRjp572cQqphsFUpjsv6F1EBUmBEyGy32/2LeKNoOqVsKkkZBtdF4VRSUf36rHjwQRL376fHa6/BORbYzu+9R501a1j9hz9wrGPHIKcML2XrXgDeHT48ata9nCAH2IlzJAVGhMw2u51EoEGUPcSPJSUxqV8/2u/bx4BNm8yOU+WOdu3K+ptuokFaGu2+/rrCv7/59Om0+Okntl10EXuGDw9BwvByaWDdyydRtu6lTAutSUEOsBMVJ68YETI7Al+QomkdTJlfOnZkc8OGXLpkCbWibCoJIHPCBHYPG0a7b76hwdKl5f59dTIy6PL++xzs3ZsN110XwoThodvOnQwvW/fSvLnZcUxRtv4lTUZgRAVJgREhc2IrdRQWGK0Unw0ZAsB18+dH3VQSSrHmD3/geJs29HjtNZJ27Trrb0ncu5feL71EXpMmrLzvPojwB1pyXh43/vxz1K57KdPHMMgDNsn6F1FBUmBEyBxQigKi5yyY3zqelMTEfv1ot38/AzduNDtOlTOcTtIeeQRPYiJ9nn0WV17ead/WlZdHv2eewedysezxx/HFxVVh0qp38rqXd6Jx3ctJ5AA7ca6kwIjQUYod0XIn0mn80qEDmxo14uIlS0g+wwM8UpXWqkXaI48Qm51N7xdfRHm9//M2yuMh9fnniT1+nLRHH6W4dm0TklatS0867+VYFK57KZMgB9iJSpACI0Jqe5TcSn1agakkrRTXzZ+PirapJCCndWsy7ryT2uvX0/n993/9i1rT7e23Sdm4kVV3301227bmhKxC3U9a97I6Ste9lOlpGNiRA+zEuZFXjQipHXY7TQyDmCh8cJfJrlaN7/v3p+2BAwzcsMHsOKbYN3gw2y66iBY//UTTWbNO/HyryZNpOm8em6+4gv0DB5qYsGqk5OVxw88/s7N2bb6P4nUvZeQAO1EZDrMDiMi2zW7HBrQwDDZF8RepJe3b0z0zk4uXLmVDkyZROW2w4brrSNq9m67vvENBo0Y4Cwro+Omn7BswgM1XXml2vJBz/Oa8F18U/30oU3aAXbasfxHnQEZgREhtDwwNR8Ot1GekFJ8PGYJhs3HDvHlROZWE3c7KBx6gsG5dUp9/nl6vvEJOy5asuvtuiIIphEvS0mgm617+S2tSfT7ZPi3OWeR/1RCm2hHFW6l/KycxkW8HDKD1wYMMXr/e7Dim8CQkkPb449i8XtwJCSx77DGMmBizY4WcrHv5Xy3lADtRSTKFJEKqQCkOKBXdC3lPsqxtW3rs2MFFy5axoUkTjlavbnakKlfQsCHzX34ZX0wMpTVrmh0n5GTdy6mVrX+RHUjiXEn1FSG3w26ntYzA+CnF54MH47XZuD5ap5KAonr1oqK8lK170ci6l9+SA+xEZUmBESF3Yit1lD6sfys3MJXU6tAhhqxda3YcEUIn1r0MGSLrXn4j1TBYKQfYiUqQAiNCbrvdTk2tqSUF5oS0tm1Z17QpF6alUScnx+w4IgS6Z2YyfP165nTqxJpmzcyOE1YStaajHGAnKkkKjAi5bYEvUq1lHcx/KcUXgwfjcTi4fv58lHxuIkpK4J6jnVF+z9HpyAF2Ihjk1SNCbnsU30p9JrkJCXx73nm0PHSIYTKVFDEcPh+3zZmDoZSsezkNOcBOBIMUGBFye2023EiBOZXlrVuzplkzzl++nLrZ2WbHEUFw6bJlNM3KknUvZ5BqGGxRihxZ/yIqQQqMCDmfUuyM9juRTkcpvhw8GLdMJUWE7pmZDNuwQda9nIkcYCeCRAqMqBLbovxW6jPJi4/nm4EDaXH4MMPXrDE7jjhHsu6lfFppTTJygJ2oPHkFiSqx3WajuWFgl51Ip7SyVStWN2/O+StWUE+mkiznV+teRoyQdS9nIAfYiWCRAiOqxHa7HRfQRKZITk0pvhw0iFKnk+vnzcMmnydL+dW6l2rVzI4T1voYBrnIAXai8s5aYJRSsUqp5UqpNUqpDUqpp6simIgsJ+5EkgfzaeXHx/PVwIE0P3KEEatXmx1HlFOPsnUvnTvLupdyKDvATkuBEZVUnhGYUmCY1ror0A0Yo5TqG9JUIuJsC8x3y5UCZ7aqVStWtWjB+BUrqH/smNlxxFmcfM/RxNRUs+OEvUSt6SAH2IkgOWuB0X4Fgf90Bn7IQgZRIcdtNo4qxXiPB5esgzmjrwYNosTl4u6pU+m7eXPU3pcU7jrv3s0DU6bIupcKuNnrxQ4skwW8IgjK9SpSStmVUquBI8BsrXXaKd7mNqXUSqXUSi1fcMUpPBUXRz+vl/8rLMQmr5HTKoiL440JE8hOTOSG+fN55LvvaL1/v9mxREBSURG3zZ7NXTNnUuJy8dq4cbLupRyu8Xh41u1mit3OfCl7Iggc5XkjrbUP6KaUqgFMUkp10lqv/83bvAO8A2Cz2eTpJP7HlzEx1NSafxQXk1tUxL3x8SDz4Ke0t3ZtXrzkEnpt386Fy5Zx348/srp5cyb17cvRGjXMjheVlNYM3LSJS9LScBgGk3v1YlbXrjLyUg4Xer285XYzz2bjppgYucBRBEW5CkwZrXWOUmo+MAZYf7a3F+K33oyNpYbWPFhSQrZSPB0fb3ak8KUUK1u3Zk3z5gxbs4bRGRn85euv+blTJ6b36kVxTIzZCaNG/ePHuW7RIlodPszmBg34fOBAjlSvbnYsSxju9fJhaSkrbDauio2lVMqLCJKzFhilVG3AEygvccBI4PmQJxMR65+xsdTUmntKS8m22Xg9NtbsSGHN43Aws2dPlrZvz4Tlyxm6di19tmxheq9eLOzYEUNGAELG6fUyLiODUWvWUOJ08uGQISxr3VpGDsupn8/Hl6WlbLbZuDQ2liL5vIkgKs8ITH3gY6WUHf+amW+01lNDG0tENKV4OC6O6obBU8XF5CjFJzKacFZ58fF8MWQIP3fqxKVLlnDF4sUMXr+eif37s65pU3moBlnb/fu5dtEi6ublsbR1a77t149CKdvl1tXn47uSEvYpxYWxseTK61ME2VkLjNZ6LdC9CrKIKKKV4o6EBJIKCvhXURF5SjHZ5TI7liXsT0nh9fPPp9Pu3VyydCl/nDGDzQ0b8n3//uxPSTE7nuUllJRw2bJl9N+6lSNJSbwybhybGzUyO5altDUMfigpIVcpzo+N5aiUFxECFVoDI0QweZXi5sREviso4O3CQvKUYp7TaXYsa1CK9c2asbFxYwZt3Mi4FSt47NtvWdquHVP69CFP1hZVnNY0XrCAv339NXFuN9O7dWN6jx54HPJlsiKaGgZTSkrwKsWE2Fj2y5ZpESLyN1OYqlgprk5I4MeCAj4uKODSatVYLg+McjPsdhZ07kxamzaMTU9nyLp19Nyxg5nduzOva1d5+JZTwsGDdH37beqsXcuOunX5bOBADtSqZXYsy6kXKC+xWjM2Lo5MKS8ihOSrmzBdns3G5YmJTM/P56uCAiYkJrJRHrwVUhwTw8T+/VnUoQMXL1vGhcuXM3DjRib36QMjR8r6mNNQHg+tf/iBtt9+i+FwsPr223nbMOSY+3OQrDVTSkqorTUTYmPZIOVFhJg8JURYOGqzcUliIjPy8/m+oIBx1aqxU3bXVNjRGjV4Z8wYWh84wKWLF/O7uXM5vncv62++mePt2pkdL6zU2ryZrm+9RfU9e9jfrx/rbrmFklq10DNmmB3NcpK0ZlJJCc205pLYWNLl766oAioUp+babDbtlLUM5ZaQkGB2hLDR1udjan4+BUoxrlo1Dp7iu7irrrrKhGTWo7QmdcsWrlizhrjjx9k3YAAbb7iBojp1zI5mKkdhIR0++4zmM2dSnJzM2ttu41Dv3id+fYYUmApxer1c/dFHpBoGV8XEMFNGT88qRnZdlltubi5er/eUQ6LyShNhZYvdzhWJiUzOz+f7/HzGV6tGtgxFnxOtFGnt2lHrtttoPXkyrSZNov7y5eyYMIGtl12GN9oW+mpNg2XL6Pzuu8Tm5rJjwgQ2X3013rg4s5NZlt3n4w+zZ9PBMLhZyouoYvJqE2Enw+Hg2sREviko4OuCAi6uVo1CWZNwznyxsWy+6ip2jRxJh88+o82kSTSdO5dN11zD7hEj0FEw3B939Chd3n2X+itWkNO8OWmPP05Oq1Zmx7I0m2Hw+3nz6LR3L3e6XHwv5UVUMfnWVoSlX5xOfp+QQDefj08LCuQG6yAoSU5m1T33sODFF8lv1Ihub7/N0Pvuo05GhtnRQsfno+WUKQz/05+ovXYt62+6iZ9ffFHKSyUprblu4UJ67tzJt3378rEsGRAmkAIjwtYMl4s/xcczxOvl3cJC7FJigiKnVSt++cc/SHv4YexuN/3/9jf6/v3vVNu71+xoQVU9M5PBjz5K5w8+IKtDB+a9/jrbL7wwKkacQkprLl+6lAFbtzKlRw/mdOlidiIRpWTMT4S1r2JiqK41zxYX80pREX+KtnUboaIUB/v143CvXrSYPp2233zD0HvvZdeoUWy+6ircFr6o0F5SQruvvqLllCm4k5JY8cAD7B8wQLaSB8n56ekMX7+eOZ06MbVnT7PjiCgmBUaEvf8LXP74cEkJOUqxUWt5GAWJ4XSy/cIL2TN0KO2+/ppmP/1E44UL2XLZZWROmIBhsamBuunpdP2//yP+6FF2jRzJhhtuwJOYaHasiDFyzRomrFrFL23b8m2/fvL3UJhKCoywhOdiY6mhNXeVlvJDRgYze/QwO1JEcSclsfbWW8kcM4ZOH39Mp08+ofnMmWy44QYOWOBBFZOdTecPPqDRL7+Q16gRi555hmMdOpgdK6IM3LSJy9LSWNmiBZ8NHBj2rwkR+aTACGtQisfi4qipNZenpVEUE8Oijh3NThVxCho3Ztmf/0zt1avp9NFHpL74Ilnt27P+5pvJad3a7Hj/yzBoOmcOHT/5BHtpKZuuuoptl1xiuZGjcNd7+3auWbSIdY0b88HQoWg52kCEASkwwjK0UtwZH0+7+vW5cuFCilwu0sPxoRoBjnbrxvyXX6bp3Lm0/+ILhjz8MHsHD2bjdddRHCY3Xifu3Uu3t94iZdMmsjp2ZPUf/0hBw4Zmx4o4XXbv5ub589lWvz7/N3IkPlkELcKEFBhhKV6leG/UKO6aOpWb5s2jxOViQ9OmZseKTHY7u0eNYv9559F64kRa/fgj9ZcuZfuFF7Lt4ovxmXQAnM3tps3339Nm4kS8sbGsuvNO9gwfLlMaIdB2/35umzOHPSkpvDl6tFwOKsKKjAMKy/E4HLw1diz7a9Xi1lmzaHnwoNmRIpo3Pp5N113HnDfe4FBqKu2+/ZYRd95Jk7lzweer0iwp69cz9L77aPfNN+zv3585//43e0aMkPISAs0PH+aOmTM5kpTEv8eOpcTlMjuSEL8iBUZYUklMDG+MH092QgJ/nD6dhllZZkeKeMV16rDygQf4+dlnKa5dmx5vvMGQhx4iZd26kH9sZ14e3f/9b877y1+w+XwsfvJJ0u+7D3eNGiH/2NGo4bFj3D1jBnnx8bw6fjyFsbFmRxLif0iBEZZVEB/P6+efT6nTyV1Tp1I7J8fsSFEhu107Fj73HCvuvx9XQQHn/fWv9Hn2WRL27w/+B9OaRj//zIi776bxggVsvfhi5r32Gke7dQv+xxIA1MnN5Z7p03E7nbw6fjx5cvaSCFNSYISlZVerxuvnn49Na/40dSrVCwrMjhQdlGL/wIHM+fe/2XDddaSsXcvwe+6h0wcf4MzPD8qHiD90iH5/+xu9Xn2Vwrp1WfDSS2y84QZ8cpNvyNQsKODeadOwac0r48dzrFo1syMJcVpSYITlHa5ZkzcmTCC+pIQ/TZ1KQnGx2ZGihhETw7ZLL2XOW2+xZ9gwWk6bxsg77qDFlCkor/ec3qfyemk9cSLD7rmHWlu2sObWW1n47LPkNW8e5PTiZNWKirhv2jTi3G5eGzeOwzI9J8KcFBgREfbWrs3b48aRkpfHndOnE+N2mx0pqpTWqMHqO+5g/ssvk9OyJV0++IBh99xDveXLoQJ3WNXcupUhDz1Ex08/5Uj37sx9/XV2jhsHsnU3pOJLS7ln+nRqFBbyxpgx7A2TrfJCnIkUGBExtjVowHujRtH46FFu/+knHOc4AiDOXV6zZix58kmWPvEEKEXfZ59lwJNPUn3nzjP+PkdREV3efZdBjz6KKz+ftEcfZfmjj1IiD9KQi/F4uHvGDOrl5PDWqFHsqFfP7EhClIsUGBFR1jVrxqdDh9Ju/35+N2cONsMwO1L0UYrDvXox79VXWXPrrSTt2sWQBx6g+xtvEHP8+P+8ef1lyxj+pz/RfMYMMseNY+7rr3OwTx8Tgkcfh9fLHTNn0vToUd4bPpxNjRqZHUmIcpNTiUTEWd62LfGlpVyxeDHXLljAZ0OHouWckCqnHQ52jhvHvkGDaPPdd7ScNo2Gixez9ZJL2HHBBTjz8+ny3ns0SEsjt1kzlj/8MNlt2pgdO2rYDINb586l3YEDfDBkCKtljZGwGCkwIiIt6NKF+NJSJqxcSVFMDN/37y+HnZnEk5jIhptuYufo0XT65BM6fPEFzWfOxFFUhPL5WH/DDew4/3y0nPJaZZTW3LRgAd127+aLAQNIk+IoLEi+YoiINb1XLxJKSxm+di2FsbH81LOn2ZGiWlH9+ix/5BGSN2yg/Zdf4omPZ93vfkeRrLmoWlpz9S+/0Gf7diampvKzXIoqLEoKjIhcSvHdgAHEl5ZywfLlFMXEsLBTJ7NTRb1jHTvyyz/+YXaM6KQ1l6SlMXjTJmZ068ZMORBQWJgUGBHRtFJ8OmQIsW43VyxaRJHLxUoZLhdRamxGBqPXrmVBhw5M7t3b7DhCVIrsQhIRz7DbeX/kSLY3aMCN8+fTafdusyMJUeWGrl/PRStXsrR1a74aMEDWhAnLkwIjooLX4eDtsWPZl5zMLTNn0vLAAbMjCVFl+m3ZwlVLlpDRrBmfDB4su/JERJACI6JGicvFf8aP53i1atwxYwaNjh41O5IQIdc9M5MbFi5kY8OGvDd8OIZNvuyLyCCvZBFVCuLi+Pf551PscnH31KnUkRusRQTrsHcvt8ybR2adOrw1ahReuZJBRBClK3BPSXm5XC5dp06doL/fSFVaWmp2BEtxB+Geo1Y+Hz8VFVEMjElIYH8Ef1fqcrnMjmAp9gh5yPdxu/kyO5sdDgeX1qxJXghf4x6PJ2TvW0S33NxcvF7vKec8I/erthBnsN1u59L4eKprzaSiIpLlygERQbp4PHyak8N+u52rQ1xehDCLvKpF1Fpjt3NVfDxNDIPvi4qoFoLRSCGqWhuvly+zs8lViitq1iRLyouIUPLKFlFticPBDXFxdDIMvigqIkZKjLCwJj4fX2dn41WKy2vW5GCETIcJcSpSYETUm+V08oe4OM7z+fiwuBi7lBhhQfV8Pr7NziZGa66sWZNdcreUiHBSYIQAvnM6eSg2lvFeL2+UlKCkxAgLqWUYfJOdTbJhcE3NmmyW8iKigLzKhQh4z+Wihtb8pbSUXKV4NCZGTisVYa+aYfBldjaNfT6urVmT1U6n2ZGEqBJSYIQ4yUsuFzW15i63m+NK8UJMjNmRhDitOK35NCeHDl4vN9WowRLZMi+iiBQYIU6mFH+OiaGm1jxRWkqOUrwjDwURhpxa835ODr09Hv5YvTpzpWyLKCMFRojf0Epxd2ws1bXmxZIScoBvpMSIMGLXmrdycxnmdnNfUhI/xsaaHUmIKieLeIU4BZ9S/C4ujoV2O2+VlDBGThoVYUJpzct5eUwoLeWviYl8GRdndiQhTCEFRojTKFWKq+PjWWOz8XFxMQO8XrMjiWinNX/Lz+eqkhJeTEjgnYQEsxMJYRopMEKcQYFSXBYfzy6bja+Kiujq85kdSUSxhwsLubW4mLfj43lZyouIclJghDiL4zYbF8fHk60UE4uKaC0lRpjgj4WF3F9YyGdxcTyVmChb/EXUkwIjRDkcsNm4KD4eA5hUVEQjufxRVAGb1vR0u3kqP58nCwqYHBPDw9WqSXkRAtmFJES5ZdrtXBIfz9TCQiYXFTEmPl4uyhNBV9/nY4jbzdDSUga53dTQGh8wKSaGP1WvjiHlRQhACowQFbLObufK+HgmFRUxsaiICQkJ5MkDRVRCrNb0cbsZGigtbQNTlAdsNqbHxLAgJoaFLhc5UpaF+BUpMEJU0DKHg+vj4viquJgvi4q4ND6eEikxory0prXPx5DSUoa63fRzu4kDSoBlLhdfxsWxICaGzXa7TBUJcQZSYIQ4B3OcTm4H3isu5qPiYq6Li8MrDxtxGkmGwSC3myFuN0NKS0+sodpqt/NpfDwLXC6WulwUy2tIiHKTAiPEOfre6aSG1vyrpIQ3S0q4PTYWLQ8ggX/xbVevl6GlpQxxu+nh8eAAcpVikcvFKy4XP8fEsM9uNzuqEJYlBUaISng/cIP1X0tL6e7zscJuJ8NuZ5XNxnq7nVIpNFGjrs/H0MAIyyC3m1paYwBrHA5eT0hgvsvFKqcTn7wmhAgKKTBCVNLLLhfHlGKs18tIr5drA9cOeIBNNhsZgVKTYbezwWbDIw+wiBCjNalli2/dbtoHTmo+ZLMxKyaG+TExLHK5OC6Lb4UICaW1Dvo7dblcuk6dOkF/v5GqtLTU7AiW4na7zY5welrTQGt6+Hx0L/thGNQK/D0rBdb/ptRsttlC+l25Sy6irBD76aZ1tKZlYJRlaGkp/dxu4vH/maa5XCxwuZjvcrHJ4Yi6xbceuStMhEhubi5er/eUf6GkwIQBKTAVE9YF5lS0pqnWJwpND5+Prj4f1QO/XIR/e3bZ1FOG3c52my1o531IgamYkwtMNcNgYGDx7dDSUhoHFt9ut9tZ4HKxICaGJS4XRVFWWH5LCowIFSkwYU4KTMVYrsCcgtKaFoZBd8M4UWy6+nwkBn49H1hz0ihNht1OplLn9J29FJjyU1rTQ2uGBBbf9gosvs0PLL4tKy17ZPHtr0iBEaEiBSbMSYGpmEgoMKdi05o2JxWa7oZBZ5+PuMCv5wCrf1Nq9pSj1EiBObO6huEfYfF4GOx2kxL4mrjG4WB+TAzzXS7SnU7ZJn8GUmBEqEiBCXNSYComUgvMqTi0pt1JpaaHz0dHw6CskmQpRcZv1tQc/E2pkQLzay6tSfV4GOrxMMztplPg5NsjSjE/MMKyMCaGY7L4ttykwIhQkQIT5qTAVEw0FZhTcWlNx5NKTTefjw6GcWJL4SGlTpSZVTYbG+LiovvOpsB03VC3m2FuNwM8HhIAN5DmdDLf6WS+y8UGux2t1OkX8YrTkgIjQuVMBUa2UQthMe6TCkqZWK3pHJh2Kis2o71e/3XzxcXss9lY7XCwxuFgdeBHJN+tk2AYDPR4GObxMNTtpllg8W2mzcZXsbHMczpZ7HJRKNNCQliWjMCEARmBqZhoH4EprwSt6eLz0Uspunu9dPN4aBl4kAPstNl+VWjWOhzkW7TUqECBGxY4k6W314sTKFCKRSeNsuwqx+iKjMBUnIzAiFCRKaQwJwWmYqTAVMzJa2CSDIMuXi/dAj+6er0nRifAvz149UmlZp3DEbZbhGuftPh2iNtN7cDXsrV2O/NdLuY5naxwOit8cKAUmIqTAiNCRQpMmJMCUzFSYCrmbIt4axkGXU8qNN28XhoGSo0P/4WDJ4/UbHA4TLl926k1vQPTQsPcbjoHFt8eVcp/iJzTyQKXi6OVHEWSAlNxUmBEqEiBCXNSYCpGCkzFnMsupDqBUtPV66W7x0M3r5c6ga8VHmDzySM1Tieb7PaQXJHQLHDy7TCPh/M8HhK1xgOscDiYFzj5dl1g8W2wSIGpOCkwIlSkwIQ5KTAVIwWmYoKyjVpr6hvGiamnsh8nX5GwIVBoykZrttjtFb4iIUFrBrjdDA8svm0eGAnaZbP5C4vTyS9OJwUhXKsjBabipMCIUJECE+akwFSMFJiKCdk5MFrTJFBqup5UapICX1OKgPWBQpMRKDU77PZfXZGgtKZj2eJbj4dUjwcXUAj8Elh4O9/lItNmq7L7haTAVJwUGBEqQSkwSik7sBLYr7WecKa3lQJTMVJgKkYKTMVU5UF2SmuaGwbdAtNO3bxeuni9JAR+vUAp1gbW1NTSmqFu94mpqfV2+4lRluVOJ26TFg9Lgak4KTAiVIJ1Dsw9wCYgKSiphBARRytFpt1Opt3OxMDP2bSmlc/3q6mnm0pKKPrN4tvDFt3CLYQwR7kKjFKqETAeeAa4P6SJhBARxVCKrQ4HWx0Ovgn8nE1rNAR18a0QIrqU91ueV4GHAeN0b6CUuk0ptVIptdIwTvtmQgiBoZSUFyFEpZy1wCilJgBHtNbpZ3o7rfU7WuteWuteNhkKFkIIIUQIladpDAAuUErtAr4ChimlPgtpKiGEEEKIMzhrgdFaP6a1bqS1bgZcBczTWl8X8mRCCCGEEKchcz1CCCGEsJyKbKNGa70AWBCSJEIIIYQQ5SQjMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcpbUO/jtV6iiwO+jvuPJSgCyzQ1iIfL4qRj5fFSOfr4qRz1fFyOerYsL189VUa137VL8QkgITrpRSK7XWvczOYRXy+aoY+XxVjHy+KkY+XxUjn6+KseLnS6aQhBBCCGE5UmCEEEIIYTnRVmDeMTuAxcjnq2Lk81Ux8vmqGPl8VYx8virGcp+vqFoDI4QQQojIEG0jMEIIIYSIAFJghBBCCGE5UVFglFJjlFJblFLblVKPmp0n3CmlPlBKHVFKrTc7S7hTSjVWSs1XSm1USm1QSt1jdqZwp5SKVUotV0qtCXzOnjY7U7hTStmVUhlKqalmZ7ECpdQupdQ6pdRqpdRKs/OEO6VUDaXUd0qpzUqpTUqpfmZnKo+IXwOjlLIDW4GRwD5gBXC11nqjqcHCmFJqEFAAfKK17mR2nnCmlKoP1Ndar1JKVQPSgYvk9XV6SikFJGitC5RSTuAX4B6t9TKTo4UtpdT9QC8gSWs9wew84U4ptQvopbUOx4PZwo5S6mNgkdb6PaWUC4jXWueYHOusomEEJhXYrrXO1Fq7ga+AC03OFNa01guB42bnsAKt9UGt9arAv+cDm4CG5qYKb9qvIPCfzsCPyP5OqhKUUo2A8cB7ZmcRkUcpVR0YBLwPoLV2W6G8QHQUmIbA3pP+ex/ygBEhoJRqBnQH0kyOEvYCUyKrgSPAbK21fM5O71XgYcAwOYeVaGCWUipdKXWb2WHCXHPgKPBhYJryPaVUgtmhyiMaCowQIaeUSgS+B+7VWueZnSfcaa19WutuQCMgVSklU5WnoJSaABzRWqebncViztNa9wDGAncGpsXFqTmAHsBbWuvuQCFgibWi0VBg9gONT/rvRoGfEyIoAus4vgc+11pPNDuPlQSGqucDY0yOEq4GABcE1nR8BQxTSn1mbqTwp7XeH/jnEWAS/qUE4tT2AftOGgX9Dn+hCXvRUGBWAK2VUs0Di5OuAn40OZOIEIEFqe8Dm7TW/zI7jxUopWorpWoE/j0O/wL7zaaGClNa68e01o201s3wf+2ap7W+zuRYYU0plRBYUE9gKmQUIDsqT0NrfQjYq5RqG/ip4YAlNiE4zA4Qalprr1LqLmAmYAc+0FpvMDlWWFNKfQkMAVKUUvuAJ7XW75ubKmwNAK4H1gXWdAA8rrWebl6ksFcf+DiwQ9AGfKO1lu3BIljqApP831vgAL7QWv9kbqSwdzfweeCb/EzgZpPzlEvEb6MWQgghROSJhikkIYQQQkQYKTBCCCGEsBwpMEIIIYSwHCkwQgghhLAcKTBCCCGEsBwpMEIIIYSwHCkwQgghhLCc/wfulTTFBzM6DwAAAABJRU5ErkJggg==\n", + "image/png": 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\n", "text/plain": [ "<Figure size 1440x504 with 1 Axes>" ] @@ -724,50 +2622,51 @@ } ], "source": [ - "fig, ax = plt.subplots(figsize=(20, 7))\n", + "str_5b = img[:,:,2].copy()\n", + "str_5b = str_5b[347:356,542:552]\n", + "plt.imshow(str_5b, cmap='Blues')\n", + "plt.show()\n", "\n", - "ax.imshow(str_1,cmap='gist_gray')\n", - "ax.contour(x, y, function(best_str_1,x,y), 3, colors='r')\n", - "plt.show()" + "p0 = [10, 12, 10, 2, 1, 0, 0]\n", + "determinar(str_5b,p0,FWHM_xb,FWHM_yb)" ] }, { - "cell_type": "code", - "execution_count": 89, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "-8.700085345842657\n", - "-167.33228726579966\n" - ] - } - ], "source": [ - "p0 = [10, 0.4, 0.6, 0.1, 0.01, 0, 0]\n", - "best_str_2,x,y = calculator(str_2, p0, Error)\n", - "FWHM_str_2_x = print(2*np.sqrt(2*np.log(2))*best_str_2[1])\n", - "FWHM_str_2_y = print(2*np.sqrt(2*np.log(2))*best_str_2[2])" + "#### Estrella 6" ] }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 57, "metadata": {}, "outputs": [ { - "name": "stderr", + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", "output_type": "stream", "text": [ - "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:11: UserWarning: No contour levels were found within the data range.\n", - " # This is added back by InteractiveShellApp.init_path()\n" + "[158.14516944 1.06375236 0.86631248 2.08220315 1.65755899\n", + " -1.78824612 89.94146728]\n", + "2.5049453718991064 2.0400099880751132\n" ] }, { "data": { - "image/png": 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+ "image/png": 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\n", "text/plain": [ "<Figure size 1440x504 with 1 Axes>" ] @@ -779,193 +2678,381 @@ } ], "source": [ - "# A = params[0]\n", - "# sigma_x = params[1]\n", - "# sigma_y = params[2]\n", - "# x0 = params[3]\n", - "# y0 = params[4]\n", - "# theta = params[5]\n", - "# K = params[6]\n", - "fig, ax = plt.subplots(figsize=(20, 7))\n", + "str_6b = img[:,:,2].copy()\n", + "str_6b = str_6b[295:300,307:312]\n", + "plt.imshow(str_6b, cmap='Blues')\n", + "plt.show()\n", "\n", - "ax.imshow(str_2,cmap='gist_gray')\n", - "ax.contour(x, y, function(best_str_2,x,y), 8, colors='r')\n", - "plt.show()" + "p0 = [10, 3.3, 5.9, 0.78, 1.7, 0, 0]\n", + "determinar(str_6b,p0,FWHM_xb,FWHM_yb)" ] }, { - "cell_type": "code", - "execution_count": 26, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "5.986016459258924\n", - "5.7447053367858825\n" - ] - } - ], "source": [ - "FWHM_str_3_x = print(2*np.sqrt(2*np.log(2))*best_str_3[1])\n", - "FWHM_str_3_y = print(2*np.sqrt(2*np.log(2))*best_str_3[2])" + "#### Estrella 7" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 58, "metadata": {}, "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, { "name": "stdout", "output_type": "stream", "text": [ - "-1.8095181245111847\n", - "-2.33101917213585\n" + "[140.2375672 1.69057103 1.87880031 6.13700838 5.63296036\n", + " 0.59694216 87.61531461]\n", + "3.9809905380035873 4.424236622195258\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "FWHM_str_4_x = print(2*np.sqrt(2*np.log(2))*best_str_4[1])\n", - "FWHM_str_4_y = print(2*np.sqrt(2*np.log(2))*best_str_4[2])" + "str_7b = img[:,:,2].copy()\n", + "str_7b = str_7b[142:154,387:399]\n", + "plt.imshow(str_7b, cmap='Blues')\n", + "plt.show()\n", + "\n", + "p0 = [11, 2, 5, 3, 5, 0, 0]\n", + "determinar(str_7b,p0,FWHM_xb,FWHM_yb)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 8" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 59, "metadata": {}, "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, { "name": "stdout", "output_type": "stream", "text": [ - "-2.949353014302458\n", - "-1727.2956781386338\n" + "[152.46960483 1.37726272 1.08272843 2.08071456 2.39950791\n", + " -1.95926817 107.90558619]\n", + "3.2432058673937094 2.5496306060688854\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "FWHM_str_5_x = print(2*np.sqrt(2*np.log(2))*best_str_5[1])\n", - "FWHM_str_5_y = print(2*np.sqrt(2*np.log(2))*best_str_5[2])" + "str_8b = img[:,:,2].copy()\n", + "str_8b = str_8b[459:465,322:327]\n", + "plt.imshow(str_8b, cmap='Blues')\n", + "plt.show()\n", + "\n", + "p0 = [10, 3.43, 6.4, 0.01, 0.5, 0, 0]\n", + "determinar(str_8b,p0,FWHM_xb,FWHM_yb)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 9" ] }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 60, "metadata": {}, "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, { "name": "stdout", "output_type": "stream", "text": [ - "-1245.7380373857209\n", - "-21777.544467150303\n" + "[190.8831359 0.90622759 1.23752934 2.09884658 3.12378005\n", + " 3.30383272 41.79158734]\n", + "2.1340028974084926 2.9141588888311842\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "FWHM_str_6_x = print(2*np.sqrt(2*np.log(2))*best_str_6[1])\n", - "FWHM_str_6_y = print(2*np.sqrt(2*np.log(2))*best_str_6[2])" + "str_9b = img[:,:,2].copy()\n", + "str_9b = str_9b[277:284,1071:1076]\n", + "plt.imshow(str_9b, cmap='Blues')\n", + "plt.show()\n", + "\n", + "p0 = [13, 3, 6.4, 1, 1.1, 0, 0]\n", + "determinar(str_9b,p0,FWHM_xb,FWHM_yb)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Estrella 10" ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 61, "metadata": {}, "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, { "name": "stdout", "output_type": "stream", "text": [ - "5.03492921003121\n", - "4.46632058357064\n" + "[2.12869194e+02 9.79245215e-01 1.13164829e+00 2.28753325e+00\n", + " 2.89802157e+00 6.97495764e-03 4.51627862e+01]\n", + "2.305946260209862 2.6648280839211322\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "FWHM_str_7_x = print(2*np.sqrt(2*np.log(2))*best_str_7[1])\n", - "FWHM_str_7_y = print(2*np.sqrt(2*np.log(2))*best_str_7[2])" + "str_10b = img[:,:,2].copy()\n", + "str_10b = str_10b[43:49,883:889]\n", + "plt.imshow(str_10b, cmap='Blues')\n", + "plt.show()\n", + "\n", + "p0 = [50, 2, 4, 1, 1, 0, 0]\n", + "determinar(str_10b,p0,FWHM_xb,FWHM_yb)" ] }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 62, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "-1.9780115133303804\n", - "-50786.21350608839\n" + "[2.12722826 2.53010591 6.43242788 1.70759492 2.85965803 2.50494537\n", + " 3.98099054 3.24320587 2.1340029 2.30594626]\n", + "1.3018950466931847\n", + "2.9826105946190706\n", + "2.517525641845777\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "FWHM_str_8_x = print(2*np.sqrt(2*np.log(2))*best_str_8[1])\n", - "FWHM_str_8_y = print(2*np.sqrt(2*np.log(2))*best_str_8[2])" + "FWHM_xb = np.array(FWHM_xb)\n", + "print(FWHM_xb)\n", + "stdxb = FWHM_xb.std()\n", + "print(stdxb)\n", + "meanxb = FWHM_xb.mean()\n", + "print(meanxb)\n", + "medianxb = np.median(FWHM_xb)\n", + "print(medianxb)\n", + "plt.hist(FWHM_xb.flatten())\n", + "plt.title('Valores FHWM en la dirección x para la image azul')\n", + "plt.xlabel('Valor FHWM')\n", + "plt.ylabel('No de imagénes con ese valor')\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "-2.0990874580364545\n", - "-956.4007968431401\n" + "[2.34151764 2.42604051 6.21809497 2.26509326 3.2452231 2.04000999\n", + " 4.42423662 2.54963061 2.91415889 2.66482808]\n", + "1.2195655968098804\n", + "3.1088833661340964\n", + "2.607229344995009\n" ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" } ], "source": [ - "FWHM_str_9_x = print(2*np.sqrt(2*np.log(2))*best_str_9[1])\n", - "FWHM_str_9_y = print(2*np.sqrt(2*np.log(2))*best_str_9[2])" + "FWHM_yb = abs(np.array(FWHM_yb))\n", + "print(FWHM_yb)\n", + "stdyb = FWHM_yb.std()\n", + "print(stdyb)\n", + "meanyb = FWHM_yb.mean()\n", + "print(meanyb)\n", + "medianyb = np.median(FWHM_yb)\n", + "print(medianyb)\n", + "plt.hist(FWHM_yb.flatten())\n", + "plt.title('Valores FHWM en la dirección y para la image azul')\n", + "plt.xlabel('Valor FHWM')\n", + "plt.ylabel('No de imagénes con ese valor')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Comparemos los cuatro valores" ] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "-2.583902670226404\n", - "2.0370702496129036\n" + "1.2025192371430922 1.1372820062135576 10.481330153305512 1.3018950466931847\n", + "2.936964690381042 2.8341979943625044 6.19554781582665 2.9826105946190706\n", + "2.5282582730707905 2.463149381278507 2.5132694458445393 2.517525641845777\n" ] } ], "source": [ - "FWHM_str_10_x = print(2*np.sqrt(2*np.log(2))*best_str_10[1])\n", - "FWHM_str_10_y = print(2*np.sqrt(2*np.log(2))*best_str_1[2])" + "print(stdx,stdxr,stdxg,stdxb)\n", + "print(meanx,meanxr,meanxg,meanxb)\n", + "print(medianx,medianxr,medianxg,medianxb)" ] }, { - "cell_type": "code", - "execution_count": 34, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "#coord = [(i,j) for i in x for j in y]" + "### Algunas conclusiones sencillitas" ] }, { - "cell_type": "code", - "execution_count": 35, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "El valor el FWHM es mas o menos el mismo para todas las estrellas, entre 2 y 3, en algunos casos es mayor y en otros menor." + ] + }, + { + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "# x = np.arange(0,str_1.shape[0],1)\n", - "# y = np.arange(0,str_1.shape[1],1)\n", - "# x, y = np.meshgrid(y,x)\n", - "# p0 = [70, 10, 15, 1, 1, 0, 0]\n", - "# best,suss = leastsq(Error, p0, args=(x,y,str_1))\n", - "# print(best)\n" + "Para la escala de grises y cada uno de los canales, en algunas estrellas debà cambiar el punto inicial p0 para que la gaussiana fuera mas apropiada. También, elegà los valores de p0 de tal manera que los valores de sigma_x y sigma_y fueran siempre positivos.\n", + "\n", + "\n", + "El valor para el FWHM si cambia dependiendo del canal del que se parta para hacer el ajuste. Mirando los valores de la desviación estándar y el promedio, el canal que arroja valores mas diferentes es el canal verde; sin embargo, el valor de la mediana para los cuatro casos se mantiene.\n", + "\n", + "La diferencia con el canal verde, solo puedo imaginar que es debido a que hay mas verde (el doble) que de azul y rojo: [Matriz RGB (Bayer)](https://3lentes.com/wp-content/uploads/2015/08/jdjd.png) y eso afecta de alguna forma como se ajusta la gaussiana." ] }, {