{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Sample radiation therapy optimization\n", "\n", "In this demo, we illustrate a few simple examples of plan optimization for radiation therapy. We start by importing the needed packages:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from therapy_planner.interface import PlannerInterface\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following is an example input file for dose delivery optimization with `therapy_planner`. It lists the target, minimum, and maximum doses (Gy) to be delivered at each $1$ cm$^2$ cell of the irradiated region." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# Target Map\n", "2, 2, 2\n", "5, 5, 5\n", "10, 15, 5\n", "5, 5, 5\n", "\n", "# Max Map\n", "5, 5, 5\n", "10, 10, 10\n", "15, 20, 10\n", "10, 10, 10\n", "\n", "# Min Map\n", "1, 1, 0\n", "2, 2, 2\n", "8, 10, 2\n", "2, 2, 2\n", "\n" ] } ], "source": [ "with open(\"dose_4x3.map\", 'r') as f:\n", " print(f.read())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The user begins by creating a plan through the `PlannerInterface` Class initialized with an input dose map file. Here we get the target, max, and min maps, and visualize the specified doses." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2gAAAEICAYAAAAqfddOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = 4\n", "n = 3\n", "plan = PlannerInterface(\"dose_4x3.map\")\n", "maps = plan.get_maps()\n", "\n", "fig, axes = plt.subplots(1,3,figsize=(16,4))\n", "cmaps = [\"viridis_r\", \"Reds\", \"Blues\"]\n", "for key, ax, cmap in zip(maps.keys(),axes.flat,cmaps):\n", " plan.plot_map(key, ax, cmap)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we run the `optimize` method of the `PlannerInterface` Class outlined in the `interface` module. The required input is the incident beam intensity, in mW, of the horizontal and vertical beams (assumed equal), which is used to optimize two quantities:\n", "1. horizontal and vertical beam exposure times\n", "2. sequence of collimator apertures for each beam, adjusted over the course of exposure, to tune the amount of radiation delivered to specific regions.\n", "\n", "By setting `bounds=True`, we include a penalty term for optimized dose maps whose values lie outside of the provided minimum and maximum values. The smoothness (default 1) adjusts how strongly those bounds are enforced; a lower smoothness more strictly enforces these constraints, but is also more prone to numerical instability.\n", "\n", "The `optimize` method computes the optimized dose map and the horizontal and vertical beam objects, whose attributes include the beam intensity and exposure time, intermediate \"beamlets\" used to solve for the collimator apertures, and the sequence of left and right collimator positions. In addition, the `print_summary()` method prints a summary of several useful aspects of the plan." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimum found.\n", "Time Elapsed: 0.7560 sec.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPMAAAEICAYAAACK1MJRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLHmnAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Horizontal beam intensity: 1.00 mW/cm^2\n", "Horizontal beam exposure time: 9 sec.\n", "Vertical beam intensity: 1.00 mW/cm^2\n", "Vertical beam exposure time: 3 sec.\n", "Total accumulated dose: 65.69 Gy\n", "Average dose per unit area: 5.47 Gy/cm^2\n", "\n" ] } ], "source": [ "plan.optimize(intensity=1., bounds=True, smoothness=0.5)\n", "plan.plot_map(\"optimized\")\n", "\n", "plan.print_summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we visualize the adjustment of the collimator apertures over the course of the exposure time to achieve the desired dose. For example, we can observe that the second slot of the vertical beam collimator remains exposed to radiation over the full exposure time, and is in fact the column which receives the highest dose." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAssAAAGMCAYAAAAsve+SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plan.plot_collimators()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also observe the effect of decreasing the intensity, which permits a longer exposure time for dose delivery." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimum found.\n", "Time Elapsed: 0.8030 sec.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPMAAAEICAYAAACK1MJRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nF6GDWdNchA5mTXMROpg1zUX8P4Pd6/mfICdSAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Horizontal beam intensity: 0.50 mW/cm^2\n", "Horizontal beam exposure time: 18 sec.\n", "Vertical beam intensity: 0.50 mW/cm^2\n", "Vertical beam exposure time: 5 sec.\n", "Total accumulated dose: 59.28 Gy\n", "Average dose per unit area: 4.94 Gy/cm^2\n", "\n" ] } ], "source": [ "plan.optimize(intensity=0.5, bounds=True, smoothness=0.5)\n", "plan.plot_map(\"optimized\")\n", "\n", "plan.print_summary()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAssAAAGMCAYAAAAsve+SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plan.plot_collimators()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also allow rotation of the maps in order to achieve minimum cost among all 4 rotations, by setting `allow_rotation` to `True`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimize for rotation: 0 degrees\n", "Minimum found.\n", "Negative beamlet value detected. Suggestion: Adjust the smoothness.\n", "Optimize for rotation: 90 degrees\n", "Minimum found.\n", "Negative beamlet value detected. Suggestion: Adjust the smoothness.\n", "Optimize for rotation: 180 degrees\n", "Minimum found.\n", "Optimize for rotation: 270 degrees\n", "Minimum found.\n", "Found best rotation (counter-clockwise): 270 degrees\n", "Time Elapsed: 2.3460 sec.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAASgAAADMCAYAAADApT45AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUralAUopZVsaoJRStvX/AcfV2QnQL9jYAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAASgAAADMCAYAAADApT45AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAAIABJREFUeJzt3Xd8FEX/wPHP99J7ISTUELr0IiC9\niEgV7OWxoKLYxYI+VoqPXcCCFRuoiIAFGyCgdOm9NwkkIaSTkEba/P7YI+SSS7iUu5z3m/frtS+4\n2Zm52ST3vdnZ2R1RSqFpmuaMTLXdAE3TtPLoAKVpmtPSAUrTNKelA5SmaU5LByhN05yWDlCapjkt\nHaA0TXNaOkBpmlZMRL4QkUQR2Vsi7S0ROSgiu0XkJxEJdlR7dIDSNK2k2cCwUmnLgfZKqY7AYeBZ\nRzXGvVKZA32VR7jDgqfDeMa67mz6/Ma13QL7iPJJqe0m2EV8bAFpqUVSlbJhUk/lkVdhnrOk/aGU\nKh2Aiiml1ohIVKm0ZSVebgSur0r7qqJSAcojPJim08bbqy21JvKZ3Npugt0kTHer7SbYxZcdvqrt\nJtjFf0YlVLlsHnlcJoMrzLNCfR9W5Tcw3A3Mr2YdNqtUgNI0zbmJ20W+kAoIE5GtJVJmKaVm2VS3\nyPNAATC3yg2sJB2gNM1FiIgtASpZKdWtCnWPBUYBg5UDnzCgA5SmuRKp+eteIjIM+C8wQCmVXeNv\nUAEdoDTNVYiAW/UClIjMAwYCYSISC0zGuGrnBSwXEYCNSqn7q9dY2+gApWkuREzVC1BKqVusJH9e\nrUqrQQcoTXMVInCxMah/GR2gNM2VSJWmUDktHaA0zVWIDdMM/mV0gNI0l1H9QXJnowOUprkSfYqn\naZpT0oPkmqY5Nd2D0jTNKQl6DErTNCeme1CapjklPQalaZpTq+atLs5GByhNcxmiT/E0TXNSepBc\n0zRnpnQPStM0pySAmw5Q1ZL03SqS56+2SHML9qPVlxPLLZN7IoGEWUvIORqHm78PwVdeStiN/REH\nflu079aU6+/uR4t2DQmLCGL6swtZ/tM2izy3PXwFw2/sgX+gD4d2x/DBS4s4cTSxwnrH3N6HUbdc\nRniDEDLOZLPxz/18Pn0JudkXVucIrRvAXU8Oo3v/1vj6eREfk8r7UxexZ8txuxxrSQkL1hP/1WrC\nRl5KoweGWs0TP3cNCfPWWd3X7psJeAT7WaSdi0vl0GNfgFJ0/P6pGm9zebZtOsdXs85yYE8eSQlF\nTJ0Wwugb/Coso5Ti2y8y+X5uFnExBQQFmRh1vR8TngkC4M8lOXw/N5OD+/LJO6do1tKdcQ8HMnCI\njyMOqRQ9BlUjPBvWocn/7ryQYCr/h1qYfY6TU77Gt20Tot68l7xTycS/9zMmbw/qjOlt97ae5+Pr\nSfSRBFb8vJ2Jr99YZv8N9wzg2rv6Mf3ZhcQeT+LWBwfz6hf3cM/waeRkWV8KaOCoTox7ajjvvvAD\ne7dFU69RKI+/ch2eXu68/cIPAPgFeDP92/vZt+0Ek+6bTXpqFvUbh3ImJdOuxwuQdTCOlD924h0V\nXmG+8Gt7Ejaiq0Va9BuLEKFMcCrKLyT6zUX4t2tM5t6TNd7mimRnFdGitQejrvVl0hNpNpWZ/r90\n1v6Vy2PPBdHyEg8yM4pISiws3r9t0zm69/bioYlBBAabWLIomyfHp/Dp/Lp07eFlr0Mpl9JX8apP\nTCbcQ/xtypuxZjfqXD4NHr0ak5cH3k3CyYtNJvWXjYSO7uWwXtSWNYfYsuYQAE++ekOZ/dfc0YcF\ns1axfpmxIOu0Zxbw3d8vMmhUZxbP32y1zrZdmnBw10n+/GUHAAlxaaz4eTt9h7QvznPDPQNITTrL\ntGcWFKclxNn24aqOwqxcTkz7mcaPjuR0Ob2j89x8PHHz8Sx+nZeUQdb+GJo8MbpM3vjZf+HTNBy/\n9pEOD1D9Lveh3+VGz2byxIv/DKOP5TN/Tibzl0bQrKVHcfolJfI8PcVyncj7Hgtk7V85rPwjx/EB\nygVP8Wol3OYlpHFk3AyO3vcucdO/J+90+X8sOYdi8WnbBJPXhT8Qv87NKUg9S37iGUc096LqNQol\nNDyQ7euPFKflnStg75bjtOnSpNxy+7ZF0/ySBlzSyVhds279IHoOalscCAF6DW7Lod0xPDvjFr5b\n/wIf/PQoV93ay34HYxbz/hKC+1xCQKeoSpdNWbYTNz9vgvq0tkhP33KU9M1HaTh+SA210r5WLc+l\nYaQ7f6/OZVTfeEb0iefFJ1JJTS6ssFx2piIwqJZ6MiIVb/8yDu9B+bRsSINHr8azYRiF6VkkL1xD\n9LOf0+zdB3EP9C2TvyAtE/c6gRZp7sH+xfs8I0Ic0u6KhNQ12pOWctYiPS0lk7CIQGtFAFi9eDeB\nwb689fV9iAjuHm6sWLSdz6ctKc5Tv3Eoo27pyU9z1rHg09U0a1OfB583eia/zt1gh6OBlKU7OHcq\njUgrPaCLUUWK1BW7Cb28PSaPC39e+amZxMxcTNPnrsPN1/GnPlURe7KA+LgC/vg1m6nTQxGBt185\nw4Rxycz5KRyTlaGJ+XMySThdyMhry/4t25sSQblYD8rhAcr/0pYWr31aNeLo/e+SvnIXdcaU0zMo\n/TM3L8vlyEFyW5ReLUzEGGQtT4fuTbnlgcF88NLPHNx9kgaRYdz/3FXc/sgQvp653FyHcGRfHF/O\n+AOAYwdO0bBJGFf9p5ddAlRubAqnvlpFyzdux+RR+dsmMrYdIz8pg9ArO1ukn5j2M2HDu+J3ScOa\naqrdqSLIOwcvvx1Kk2ZGD/7lt0O5elAC+3bl0aGLZaBdsTibd15N57X3Q2nQqJYukFfzMyEiX2Cs\nf5eolGpvTgvFWE04CogGblRK2X+cASeYZmDy8cQrMpy8+BSr+91D/Ck4k2WRVpBuvHYLrvgKjKOk\nJRkD1qFhASSfTi9ODw71J62CweyxE65k1e+7WPr9FgCiDyfg7ePBYy9fx9wP/6SosIjUpLOcLHUl\nMOZYIuG397HDkRgD44UZORx86NMLiUWKrH0nSV6ynY4/PGXRMyotZekO/No0wqdJXYv0zN0nyNx7\nktPz1lrUu3P0azR6cBhhw7rU9KFUW1i4CXd3ioMTQGRTd9zd4fSpQjqUaPKKxdm8+HgaL80IqaUr\neAZVwQUnG80G3gdKri3/DPCnUup1EXnG/Pq/1X0jW9R6gCrKK+BcXDK+7aOs7vdp3YjEr1ZQlFeA\nydNobtauf3APDcAjPNhqGUc7HZtKamIGXfq04PDeWAA8PN1p1y2Kz99aXG45Lx8PioqKLNKKipTF\nt+D+HSdo1DTMIk/DqDASTtnnCyyoZyt837/HIu3ku7/j1SCEiBt6I+7l96ryU86SseUojR8dWWZf\n61J1pm86QsKC9bSaficeYQE10/ga1rmbFwUFZ4k5UUDjJsbfXuzJQgoKoH7DCx+dZb9lM+mJVF6a\nEcqQkY4/tbNQzR6UUmqNiESVSh6DsVYewBxgFa4aoBJmL8O/Wys86gYZY1AL1qBy8wge1AmAxK9X\nkHPkFE1eugOAwH4dSJq/mviZi6hzfX/yTqWQ8uM6wm4a4NBTPG9fTxpE1gFATELd+sE0u6Q+Z9Oz\nSYpP56ev1nPz/YOI/SeJ2Ohkbrn/cnKz81j5287iOl778h4O74kpPl3btPIg19zZlyN7Yzm4K4YG\nTepwx6ND2LzqIEWFRuD6afY6Zsx7gJvvG8TqJbtp0aYBY27vw+y3l9rlON39vXH397ZIM3l54O7v\ng495usGp2SvJPnyKFq/eapEvZfkuTN6ehPRtU6Zen1JTFbKPnkZEyqTbU3ZWETHRBYBx+hZ/qpBD\n+/IIDDZRv6E7772Rzr6deXwyz+j9XdbXizbtPZjyVCpPTTK+DN966QwdunjStqPRq1r6SzYvPp7K\n488H0bWHF8nmKQgenkJQsIMHygV7jUFFKKXiAZRS8SLisF+awwNUQUoGp2b8QMHZbNwD/fBp1Yio\nN+4p7g0VpGWSfzq1OL+bnzeRU27n9KzFRD81C5O/D6FjehE62v5Xskpq1b4Rb341vvj1HY8O4Y5H\nh7D8p21Mf3YhCz9bjZe3Bw+9OAb/IB8O7o7huXGfW8yBahBZx+IU8NuP/kIpxR2PXklYvSAy0rLY\nuPIAc95ZVpzn8N5YXnr4K+58fBj/efByEuPP8NV7y/j1242OOXAr8tMyOXfa8gqqUorU5bsIGdgO\nk7dHOSVr1/7dedx7c3Lx649nZPDxjAyuut6Xl6aHkpxYSMzJguL9JpPw7hdhvDnlDONuTMLLW+jZ\n14snXwwuHiD/fm4mBQXw1tR03pp64Xd7aU9PPpvvuOBrEFtO8cJEZGuJ17OUUrPs2KhqkYoGcUvz\nadFANZ02/uIZ/2Uin8mt7SbYTcJ013o+0Hlfdvjq4pn+hf4zKoH9u/Oq1A0KDGykund7qMI8f618\nbptSqltFecyneL+VGCQ/BAw0957qA6uUUq0rqKLGuNa0U037f065SYVbFf0CjDX/fyzwc4001ga1\nPkiuaVrNUFT/aQYiMg9jQDxMRGKBycDrwAIRGQecBMreSmEnOkBpmqsQUNU8J1JK3VLOrsHVq7lq\ndIDSNFfiZJOXq0sHKE1zIdXtQTkbHaA0zVXYbx5UrdEBStNciWvFJx2gNM1liE0TNf9VdIDSNBdh\nTDOo7VbULB2gNM2F6EFyTdOck6CnGWia5rx0D0rTNKelA5Smac6pBm51cTY6QGmai1DUyCN/nYoO\nUJrmSlwrPukApWkuw0lP8UTED2iB0ck7ppTKukiRYk54OJqmVZWSijdHEhFfEfkQSAW2AzuAFBH5\nUERsWvpG96A0zYU4WQ/qQ2AQxlM4zz9EvyfwFuAL3HmxCnSA0jRXITjbGNS1wLVKqRUl0qJFJBn4\nCR2gNO3/Fye7ipcNxFtJPwWUv6JtCZUKUCrXjbzDgZUp8q9QeHhfbTfBbtKiL6vtJtjFnAa9a7sJ\ndpFSsLzKZY1pBjXXlhowE3hRRMadHxg3D5hPAd6zpQLdg9I0V+F8p3iXAf2BGBHZa07rgHFxzkdE\nfj2fUSl1lbUKdIDSNBdS3R6UiDwO3IPRIdsD3KWUqurCkcnAj6XSjlamAh2gNM2FVGcqgYg0BB4F\n2iqlckRkAXAzMLtKbVHq7qq3xqADlKa5ipqZqOmOcfqVjzEV4FS1myXSAmiL0Ss7qJQ6UpnGaJrm\nKqrRg1JKxYnINIzFOXOAZUqpZVVuikgQRu9rNFBkTnYzjz2NVUqduVgdzjXmr2latShTxRvGisFb\nS2zjz5cVkRBgDNAUaAD4icht1WjOO0ArYADgbd76AS2Bd22pQPegNM1F2PhM8mSlVLdy9l0BHFdK\nJQGIyI9Ab+CbKjZpNDBGKbWuRNp6EbkX+LWcMhZ0D0rTXIXYsFXsJNDTfA+dYCx3fqAaLfIG0q2k\nnzHvuygdoDTNhdhwild+WaU2Ad9j3Ni7ByM+zKpGc9YBr4hI8exu8/9fBdbbUoE+xdM0V1LNiZpK\nqcnA5BppCzwGLAVOisgec1oHIAMYZksFOkBpmqtwsudBKaUOiEgr4BagHUb4/BKYq5Q6Z0sdOkBp\nmitxrltdMAei2VUt70TxVtO06qrOGFRNE5HnRGRqidfDRORnEZlZclyqIjpAaZqrEOcKUBindtsB\nRCQUYwA+GegDfGBLBfoUT9NciXOd4jUFzj/LaDhwVCk1TkQuBRbbUoEOUJrmIpzweVC5gIf5/4OB\n8w+7SgJsOsXTAUrTXIlz9aA2AlNE5AfgBmCkOT0KiLOlAueKt5qmVZ3zjUE9CXQGvgUWKKXWmNPr\nop+oqWlabVJKHQJai4iHUiq/RPoPttahA5SmuRAnG4M6b4CIdMV45Mp2pdRfthbUAUrTXIWTzSQ3\nL5CwGGNaQQJQD8gSkd3ACKVUxsXqqJUAVdfPj6cG9GVgs6b4eXoScyadScv/ZHNMbLll+kU14dE+\nvWhZN4y8gkK2x8Xx+qo1RKdd9JlXNaJDvzbc8ORoWl7ajLCGobx11wcsm7MKADd3N+56+Wa6D+tC\n/eYRZGfksGvlPj57di5JMcnl1hlaL5j7po2lRdemNGxZnz+/XsNbd1tODxl+z2CG3D6AJu0aYzIJ\nR3ccZ/ak+exbf9Bux1qQnsGZnxeTs/8gRbnn8AgLJfSma/Fu2dxq/tzDx8hYuYa8EzEU5eTiXrcO\ngYP64d+rR3Ge5K+/I2vTtjJlxdODyBmv2u1Yzts1/wh7fviHjHhj1e3QZkFcdk8bmvZrYDV/zNZE\ndsw9zOl9qeRl5hPcyJ8u/2lJu6ubWc0ftyOJ78evIjQqgNsX2nSbmX041yD5y0AwxrLnAuzGGH9a\nCEwDxpdf1ODwABXg5cX8W29iW+wp7vl+Eak52TQOCiIlK7vcMo2CAvn42jHM2baDib8vxdfTg/8O\n6Mfn11/L4E+/cEi7ffy9id53kuVfr+bpOQ9b7PPy9aJFl2Z8++qPHNsZjV+QL/dNu4PXljzP+E5P\nUlRYZLVODy8P0lMymP/GIkbce4XVPJ0GtGP1gr/Zu/4g57LzuO7xkby29Hke6PIUcUdP1/hxFmXn\nkDDjA7yaRxF+/92Y/P0pSEnBLcC/3DLnjkfj0aA+gVcMxC0okNwDh0iZ9wPi7oFf9y4AhF4/hpAx\nIyzKnZ7xAV7NrX/ga5p/hC99JnQkpLE/SsH+X6P59cn13PLNEOq2Ci6TP35XMmEtgug29hL8wryJ\n3nCaFa9sw83LjUuGN7HIm5uRxx+TNtO4ezhZSTkOOZ7yOFMPCrgOGK+UihaRZmDc+mKeXb4YZwxQ\n43t0Iykzi6cWLy1Oi02vuKfXPiICd5OJaWvWUaQUAB9v2sI3N99AiI83aTlVXXTCdpuX7GDzkh0A\nPPXlQxb7sjOyeWbo/yzS3rl/Fp/ve5vINo2I3nvSap0JJ5L4cMKXAPS7rqfVPK/fbnmx490HPqX3\nmB50G9aZuPeXWi1THekrVuEWFEDYHbcUp3mEhVZYJmjoYIvXHv16k3v4GNk7dxcHKJOPD/j4FOfJ\nPXacguRU6pR4H3tqPrChxes+D3dg9/fHiN+dYjVA9RjX1uJ1pxtaELs1kaN/xpYJUMunbqHtqCiU\nUhz9s/yzAIcQVbvvbykcsNbVTwN8rKSX4fAANaRlC9Ycj+bd0SPp2bgxCZmZLNy9l6937Cy3zJ7T\nCRQUFXFjx/Ys2L0XHw93rmnXll3xpx0SnKrCL9D4+Wem2bSAqs08PN3x9PYgMy2rRus9L2f3Xrzb\ntCbpi2/IPXwUt6BA/HtfRkD/3hjPMLNNUW4u7sFlP/jnZf69CY/6EXg3i6qBVldOUWERR1bEkp9d\nQINOdWwul5dZgH+E5edq14KjZKfk0uOeNmz6dH9NN7VSlJONQWGMO9UHokuljwXKnu9b4fAA1Tg4\niFu7dOLLrdv5ZONm2oSHM+mKQQDlBqm4jAzGLviBmaNHMWXIYEwi7E9I5O7vSy+55RzcPdy5b9od\nbPhlK8lxqTVa950v30JOZi4bftlao/Wel5+cSv7aDQQO6kfEQ/eSF3uK1IWLAAgc0MemOrL37Cf3\n0FHqPfGQ1f1FOTlk79hN8FXDa6zdtkg+cob5d/5FQV4hHj7uXDW9N2Etyw+iJf2z5hQxWxK48YvL\nLerbNGsfN80ZjMnNSSKDc41BrQeGAhvMr71EZAfGLTCDyy1VgsMDlIiw93QC09YYjynen5hEVEgw\nt3btVG6ACvPz5bVhV/LTvv38duAgfp6ePNa3NzNHj+K27xbiTJ1ak5uJZ75+BL9gP14c80aN1n3N\noyMYOf4K/jvkf2SftdNYh1J4RTYqHi/ybNyQ/KRkzq7526YAlXvsOMlzviX0hjF4RUVazZO1eTuq\nSOHX49IabfrFhEQFcOu8IZzLzOfIn7H8MXkz188aRFiLoArLndqZzNLnNzLgqS7Ua2/0uAryCln8\n7Eb6PdaJoIblj885mpP1oJ7HWHwBjIfUfQ4cA75WSiXYUoHDA1RSZhZHU1Is0o6lpDI2oPxbc27r\n0pmc/HzeXL22OO3J35aw7sHxdG3YgG1x1V66q0aY3Ew8/+1jRHWIZOKgKZxNrbnTu2seHcGd/7uZ\n50a8yqEtlVqctVLcAgPwqBdhkeZRL5zCVWkXLZt77DiJH31O8MihBPTrXW6+s39vwrdzB9z8fKvd\n3spw83AjODIAgIi2oSTsS2XH3MMMmdy93DJxO5L4+dG19Ly/PZ1uaFGcnpWcS+o/GSybuoVlU7cA\noIoUKHi3+0Kufq8fTXrVs+8BlSaAyXm+rpVSx4Hj5v8nAw9Utg6HB6htcadoGhJikRYVGsKpjPIH\nyn083ClUllfCCs2D5aZKjIvYk5u7G8/Pe4yo9pFMHDSZtISam/5w3eOjGDv1Jp4f+apdpxcAeDWL\nIj8xySKtIDEJ99CQckoYco/+Q+JHXxA8YgiBg/qVm+9c9Eny4+IJvW5MjbS3OlQRFOYVlrs/dlsS\nP09YS8/72tH11lYW+/zr+nDbgqEWabsXHuXkxgRGTe9DYAPHBt/zqrOysDNyeIfwy63b6NygPg/0\n7EGT4GCGt27J2Eu78E2J07uJ/fvy1U3XF79eeew47SIieKR3T5qEBNMuIpw3hg/lVEYGexNs6ilW\nm7efN807RdG8UxRiEsIjw2jeKYq6jcMwuZl4ccETtOnZilf/8w5KQUhEMCERwXh6exbX8fTsh3l6\ntuUUhfN1+gb6EBDqT/NOUUS2aVS8/4aJoxn32q1MG/chsYfji+v1DbTPByDw8v6cO36C9KV/kp+U\nTNb2XWSsWm/RI0r7eTEJ731S/Dr38DESP/yMgL498evehcKMDGM7W7YHmbl+E+51w/Bq6ZjpBeet\ne283cduTSD+VRfKRM6ybuZvYbYm0HmFckVs3czc/3LeqOH/M1kQWPbKGjtc155LhkWQl55CVnEN2\nmnFRxs3DRFiLIIvNJ8QLN08j3dPXw1oz7K96q7o4HYf3oPacTuCBn37hyf59ebh3T05lnOXttX/z\nzY5dxXnq+vkRGXxhXGDjyRge/3Ux4y/rxj09unGuoICdp+K5e+GP5OQXOKTdrbo1Y/rK4ocDMnbq\nTYydehPLZq/iq6kL6HO1MSnxo21vWpQrOaEzPDKsTL0f73jL4nWv0d04HZ3I7c2MAebRDw7Fw9Od\nF+c/YZFv2exVZSZ11gSvJo2pO/5Ozvy6hDNLV+AeEkzwqKH4978QoAozMshPvnCanrlpCyovn4w/\nV5Px5+ridLfQEBq99Fzx66LcXLK27SRo+BWVuiJYE7JScln6wiayU3Lx9PcgrGUQV8/sT1Rv4zQs\nKzmXM7EXAur+X6MpyC1k29eH2Pb1oeL0gPq+jPt9lEPbXhnV7UGJSDDwGdAe4wkudyulNlRcyn5E\nKdvPWb0bNVaNHn3cjs2pHU2fqbWfv90dmXlZbTfBLq7pvaW2m2AX3966nIT9qVUKM15NGqv6z0yo\nMM+JB5/aVsHCnYjIHGCtUuozEfEEfG1Zotxe9L14muZKqtGDMj8nvD9wJ4BSKg/Iq4lmVZUOUJrm\nMlR1r+I1w3ja5Zci0gljMuUEpVSVZgWLiAkYgTEXqgsQBuQAJ4C1GM+IiqmoDueaNaFpWtXZ9sC6\nMBHZWmIreT+cO9AV+Egp1QXIAp6pdDNETCJyH8YUgy+AJhirDH8JLAJOYyyocExEFohIy/Lq0j0o\nTXMlF78XL7mCMahYINa8BDoYq7BUOkABT2PMFL8f+EMpZfVueRFphHE6uRbjUSxl6B6UprkQMVW8\nVUQpdRqIEZHW5qTBQFVuMPxAKTVEKbWkvOBkfr9YpdTLgO5BaZrLE2riaQaPAHPNV/D+Ae6qbAVK\nqbM1lV8HKE1zJdU8J1JK7QTKnYZQFSJyE8aY0/np+IeBeUqp+Rcrq0/xNM2lqItsjiUi8zBWdWkN\nHDJvrYB5IvLNxcrrHpSmuQoBcaKbhUVkHDAauE4ptajUvpHAAhG5WylV7mNxdQ9K01yGQkwVbw52\nN/Bm6eAEoJT6HXjVnKdcOkBpmitxrpuF2wMVPZd6BdChogp0gNI0V2E+xXOiHpQXEF/cPJFQEXm9\nxP4EwK2iCnSA0jQXIYCIqnBzsDig5GNVg4GSz4GOwrjtpVx6kFzTXIjJiQbJgb+AJ0WkHsYlxNKz\nxS8HVlZUgQ5QmuZKnOuhdO8B2zGu5J1XcgHMlsCUiirQAUrTXIWAyYnWxVNK7QHKfbSoUuqiiyLq\nMShNcxGCwmQqqnBzFiJS/oPrS9ABStNciEjFm/3fX1aaH3xnbV+YiDwpIvuBP22pTwcoTXMRIuBm\nKqpwc4DulLqXT0SGiMgCjMe53I3xjKhGVsqWocegNM2F1MJUgtI+A34Rka8w5kDdBdQB5gMDlVIb\nK1OZDlCa5jIUbrU8zUAp9ZiILAUeB8YDBcBU4BOlVGpl66tUgPIPyKHPwL2VfQ+nt//2XrXdBLsZ\ncpn15eT/7abX317bTbCLtR7ZF89UjvMTNWubUmopsFREIjGemHkfMFlEfsF47O9SZeNyUnoMStNc\nhYCbqAo3R1JKnVRKvaSUigJGAoXAj8AJEXnFljp0gNI0FyE4xSC5VUqpP83znhoAb2IErIvSAUrT\nXIbCJBVvtU0plaaUel8p1dmW/DpAaZqLcJJpBohIdxEJq0T+cntTOkBpmgsxoSrcHCQKOCAiH4vI\nQBHxKp1BRBqLyEMisgV4ubyK9DQDTXMRgqqRXpKIuAFbgTil1KjKlldKLRSRzcB/gZ8BbxE5BqQC\nPhjjUBHm93hHKTW3vLp0gNI0F1JD40wTgAOA1VtWbKGUOgE8KCJPAH0wViyui7H0eTSwWin1z8Xq\n0QFK01yECLhXswdlXu13JPAK8ER126SUysW4786me+9K0wFK01yEoHCXap/ivYOxdHlA9VtUfXqQ\nXNNciA3TDMJEZGuJbfz5siIyCkhUSm2rtQMoRfegNM1FCDad4iUrpcpbObgPMFpERgDeQKCIfKOU\nuq0Gm1kpugelaS5CqN40A6XUs0qpRuZbU24G/qrN4AS6B6VprkMU7qbC2m5FjdIBStNchFBzzyRX\nSq0CVtVIZdWgA5SmuYgauoogXW3HAAARN0lEQVTnVHSA0jQXIQIe+hRP0zRn5cD77RxCByhNcxGC\nHiTXNM2JuekelKZpzkj3oDRNc1pifia5K9EBStNchDHNQPegbHZw4QEOLzpE1qlMAIKaBdPxrk40\n6tu43DJKKQ58t5/DPx0i89RZvAK9aDayBZc+ZNw+lJ2czdZ3t5B6KIWzMRk0G96cPpNsWua9RplE\nGH9NL4b1bkNYkB/J6Vks3XCAT3/aQGGR9W+xe6/uxfhrrC9xdeXDH5F2Nqf49S1XduHaQZ1oUDeQ\njKxcfl+3n/cXrrPLsZS0f8EhDvx0mMz4LABCmgXR+e4ORPa9+EKw6SczWHT77ygFd665xWLf0aXH\n2f3VPtJPZuDp50GDHvW5bMKl+Ib52OU4yvPR7HSmfZhGfGIh7Vp5MuOlMPr1LL8N3/54lmkfpnH4\nWD6BASYG9/Phrclh1As3Pjr7Dp1jylup7NhzjuMnC5j0ZAiTJ9Zx1OGU4YaeB2Uz33BfLn2oGwGN\nA0Epjv1+lJVP/8moOaMJaRlqtczWd7cQuy6GSx/pRkiLUPIy88hJvrBWWFFeId7BXrS/owNHFh2y\nZ/MrdMfI7lw/uDNTP13K0dhkWjYOY/K9w8jPL+TzXzZZLfPNkq38uHKXRdorD4xEgUVweuyWAfTt\n3Iz3vlvDsdhk/Hw8CQv2t+fhFPOL8KXHw10JjAyAIjj8+zGWT1zF1V+PpE7LkHLLFeYX8tfza6nX\nJYL47QkW+07vSmT15PX0mNCVqAGNyUnNZf0bm1n14jpGfDTE3odUbP7PZ3nsxSTef60ufXv48NGc\ndEbeeoq9qyOJbORRJv/6zTmMfSSBtyaFMWa4HwlJhTz8TBK3P5TA8oUNAcjOUUQ19uCaEf5MeiPF\nYcdijaD0PKjKiBzQxOJ1lwcu5dCPB0nak2g1QKWfSOfggv1cNfdqgpsGX9jR+sI3kn+DAHo82ROA\nE39F26XdtujYsgFrdx5j7U7joYDxyRms2XGMds3rl1sm51w+Oefyi19HhPrTuXVDJn+ytDitSb0Q\nbrqiM7e88DXR8RcWYj18MskOR1FWkwGWvdvuD3bh4A+HSdyTVGGA2jJzO6EtQqjftWyAStydhF+4\nLx3+0xaAgIYBtLuxNX9P21LzB1CBdz45w9gbA7n3tiAA3nulLn+szObjOem8+nzZZ/xv3JZLo/ru\nPHaf8bfYNNKDh8YFMeH5C7+L7p296d7ZG4DX30tzwFGUTwAPFzvFc9jTDIoKizi+7B8Ksguo2zHc\nap6YNScJaBjAqY1x/HjNQn64eiHrpq4hJzXHav7atOtwHN3aNKZJfeND27RBKN3bRPL3ruM21zG6\nfwfOZp/jr61HitP6d21OXFI6vTpGseitu/l52jgm3zuUkADHngqB8Ts7tuw4+dkFRHSsW26+k+ti\nObkujl4Tu1vdH9EpnOzkHE6siUEpRe6ZXI4tj6Zxn4b2anoZeXmKbbvPMWSgr0X6kAG+bNiaa7VM\n7+7exCcW8OuyLJRSJKcUMn/RWYYP9nNEkytNRGGSogq3fxu7D5KnHU1lyT2/U5hXiLuPBwPfuJyQ\nFtZP7zLjzpJ5Oovo5f8Ujyttm7mFlRNXMPyzUYhJ7N1cm835fQu+3p4sePVOioqKcHd34/NfNvL9\nX7suXhjjisvo/u1YvH4/+QUXvvUa1g2iXp1ArrysNVM/+wOlYMLN/Znx+NXc/b952LZgdPWkHk3j\nl7uXUphXiIePO1e8NYDQFtZ7T9nJ2ax7ZSNXvDkAT7+yp0kAER3rMuiVvqyatJ6C3AJUoaLhZfUZ\nMLm3PQ/DQnJqIYWFEBHmZtm2um78udZ6r6NXNx/mfliP2x86TU6uoqAArujvw+x3rX/B1jbdg6qC\nwCZBjPp6DMM/H0Xra1uz/qW1pB2z3hVWRYqivEL6TulPRJd6RHSpR98p/Unel0zy/mR7N7VShlzW\nmpF92vLCx4u5bfJcJn2yhOsv78zo/u1tKt+7Y1Pq1Qnk59V7LdJNJsHL053Jnyxhx6E4dh6OY/In\nS2jfvD5tm9azx6GUEdQkkGvmjmT0F8Npc10rVk/5m9Sj1n9nq15cT5vrWhHeofweVto/Z9gwbQtd\nxnXg6q9HMuy9wWSn5LDuNetjdfYkpb7jlDI+2NbsP5THYy8m8cLjoWz5ozGLv61PQlIh9z/tmNPt\nylO4XWT7t7F7D8rNw43AxsbiEGFtwkg+kMyBefvo/ULfMnl9wnwRNyEwMqg4LaBxIOImZCVkUrd9\n+R8CR5twU3++WbKV5ZuMgfpjscnUDwvkzlE9+GXN3ouUhmsGdmDXkTj+ibMcWE0+k0VBQSEnE84U\np51MOENBQSH16gSw75/TNXsgVrh5uBFk/p3VbVuHpP0p7J13gP4vlu3xnNp6mvgdCWz/bLeRoIwv\nms97fkOfp3twybWt2DV7L3XbhdHx9nZGnpYhuPu489u9f9Dtgc7417P/KVNYqBtubnA6ybKHkZhc\nSERdN6tlXp+ZRvfO3kx80Og9dmzrhZ+viQFXx/HyM6E0bmi9x1hbjB5UQW03o0Y5fh5UkaIw33o3\nNLxjOKpQcTY2g4BGxgckM+4sqlDhX88xV7Fs5eXlTmGp862ioiJsOQsNC/ajT6dmvPLFsjL7dh05\nhbu7Gw3Dg4hLTAegYXgQ7u5uxKecrZG2V5ZSisI86+MX186zXDbtxJpYdn6xhzGzh+MXboz3FOQW\nljk9d/TpuqencGlHL1aszuaGqy78La1Yk821I6wHyOycItxKxa7zrx1xql1ZgnMsb16T7Bqgtn2w\nlUa9G+EX4Ud+dj7H//iH09tPM3iGcWl5+wdbSd6fzJUfDAOgfo8GhLauw98vr6Pb45cBsPXtTYS1\nq0udNheusqQeNnod+Vn5iElIPZyCyd2N4GbBOMq6Hf8wdmR3TiWl809cCq2bhPOfoZeyeP3+4jwP\n3dCXdk3r8eCb31uUHd2/Pbnn8lm++XCZejfvO8GB6AQmjRvK9LkrAXjy1kHsORrPgeP27z1tnrmd\nyL4Ni39nx5YeJ35bAkPfvhyALe9vJ2lfSvH0gNJjU8kHUhGTWKRH9mvE2lc2sP/7QzTq2YDslBw2\nTt9KnUtCHdJ7Ou+x+4IZ+0gC3bt40ae7D598lc6p0wXcd4fRYx/7iHH1cc7MCABGXenHfRMT+WhO\nOkMH+hKfUMATk5Lp2sGreFpCXp5i/+E8AHLPKU4nFrJz7zn8/YQWTT0ddmxg9KA8dQ/KdrkpOayb\nsoaclBw8/T0JbhHC4HeupGFP4+pNTkoOZ+Mu9ArEJFw+4wq2TN/EH/cvxt3Lnfo9GtBtQg+Lb9zf\nbv/F4n1i18bgV9+f6xbdYM/DsfDWN39x/7V9+O8dgwkJ9CXlTCaLVu/hs583FucJC/KjYXhQmbKj\n+7dn6YYDnMsr+8ekFDw+YxETbxvErOdu4lx+AZv3nuDteasd8q2dk5LDqknryU7JwdPfg9AWIQx7\ndzCNejUAIDs5h4y4yvXkWl3VnPzsfPYvOMSmd7bh6e9Jg24R9Hikqz0OoVw3jQkgNa2IV99JIz4x\nifatvfjtmwY0aWwEm5i4fIv8d94USGZmER9+kc5TU5IJCjQxsI8Pb7xw4cvyVEIBlw6JKX59LDqf\nWV9nMKCXN3/9ePHJrTVJRLncILmoSvzVh7UJUyPnjLZjc2rH/g9sG9j+N+r8yM7aboJdfNJoQ203\nwS56DI1h667cKp3/Nu3gr176seK/5TtabdpWwaouTkffi6dpLsKEwtPFelB62SlNcyHVmagpIo1F\nZKWIHBCRfSIywUHNLpfuQWmai5Dq96AKgCeVUttFJADYJiLLlVL7L1bQXnSA0jQXYSzcWfXbWZRS\n8UC8+f9nReQA0BDQAUrTtOoxelAXnWYQJiJbS7yepZSaVaYukSigC+D46f4l6AClaS7CxmkGyRe7\niici/sAPwGNKqYyaal9V6AClaS6kuvfbiYgHRnCaq5T6sUYaVQ06QGmaixBUte7FExEBPgcOKKVm\n1FjDqkFPM9A0FyFQ3acZ9AFuBy4XkZ3mbYTdG14B3YPSNBdh9KCqPs1AKbWO8p8+Uyt0gNI0F3G+\nB+VKdIDSNBdhPA/q3/dY34roAKVpLsIIULoHpWmaU/p3Pta3IjpAaZqLEAEPpxrirj4doDTNRQiC\nm3NdhKs2HaA0zUUYY1A6QGma5qRMugelaZozEsDDxW4O0QFK01yEIHiI9TX+/q10gNI0F2E8sM61\nTvEqtaqLiCQBJ+zXHE37f6+JUqpKS2iLyFIg7CLZkpVSw6pSf22oVIDSNE1zJNcaUdM0zaXoAKVp\nmtPSAUrTNKelA5SmaU5LByhN05yWDlCapjktHaA0TXNaOkBpmua0dIByIBFZJSLvV7OOKBFRIlLh\n6rDVfI9u5veIstd7aJot9L14diAidwLvK6X8S+26FsivZvUxQH0guZr1aJrT0wHKgZRSqTVQRyFw\nugaao2lOT5/ilSIiXiLyjogkiEiuiGwUkb4l9g80n/6MMq+8misi20Tk0vP7gS8BP3M+JSJTzPss\nTvFEJFpEJonIbBE5KyIxInKTiASLyHcikikiR0TkyhJlLE7xzHUqK9tA835PEXlDRGJFJEtEtojI\n0FLHPExEDpqPZS3QyoafU1Xa7iYin4vIcRHJMe9/WkRMJfLMFpHfROQF8+8gU0S+FBGfyv0mNZeg\nlNJbiQ14F4gHRgJtgE+BTKC+ef9AQAEHgaFAe2AhRq/GF/AEJgBZQD3z5m8uuwrj1O/8e0UDqcCD\nQEtgOpALLAbuAFoAnwOJgLe5TJT5/buZX4eWeJ96wEfmttQz758LbAT6A82Ah4E8oJN5f2Pze84E\nLgFuBGLN7xFVwc+pKm33AF4CupuP40bgDDCuRL2zgbPmn2l78884Dnivtv829Ob4rdYb4Ewb4Gf+\n8N5RIs0NOAa8bH59PkDdWiKPv/mDdo/59Z1AppX6rQWoeaXqUSU/jFYCksXrUvXfBOQAPc2vmwNF\nQGSpfIuAD83/fxU4jPnJFua0F2wMUJVqezn1vA6sKPF6tvln6V8i7TbgHOBX238jenPspsegLDXH\n+JZffz5BKVUoIhuAtqXybiiRJ1NE9ljJY4vdperJBvaU2J9g/je8okrMp3xfYPRGNpqTu2I8x2y/\nWD5M3wv4y/z/NsBGpVTJ5+5swDaVbruI3A/cAzQBfDB+3qWfMbZbKZVZqj2eGL+f3Wj/b+gAZen8\np9jaQ7Ls9eCs0lf1VKm08+9b7nihiDTA6BXNUEp9W2KXyVy+u5X3yTlfvLINLqFSbReRm4B3gInA\n30AG8BBwTTXaoLkwPUhu6SjGKV7JQXE3oBewv1TeniXy+GGMlxwwJ+VhnBranYh4YwSnjcCkUrt3\nYASgekqpo6W2OHOe/cBlYtnF6ol99AU2KaXeV0ptV0odxegVldbB/DMt2Z48jFNt7f8RHaBKUEpl\nYQwyvy4iI0Skjfl1BPBhqewviMgQEWmHcWqVB5zvvUQD3ub9YSLia8dmfwIEA08DESJSz7x5KqUO\nYwySzxaR60WkmXkS5kQRudZc/mOMsaJ3RKS1iFwP3G+nth4GuorIcBFpKSIvAgOs5HMHvhCRdiIy\nBGOc6lPz70f7f0QHqLL+CyzAmCqwE+gIDFNKxZfK9wzGlavtGFexRp3/ACml/sb44M8DkjCCh70M\nML//MYyrj+e33ub9d5mP5U2MK4+/YVzRO2Fu60mMCaTDgF3A4+Zjs4dPMH623wJbMALjdCv5VgP7\ngJXATxjjZfb8GWpOSj+TvJLM84tWAnWVUno2dw0TkdlAmFJqVG23Rat9ugelaZrT0gFK0zSnpU/x\nNE1zWroHpWma09IBStM0p6UDlKZpTksHKE3TnJYOUJqmOS0doDRNc1r/B4AdBWkJ8l3BAAAAAElF\nTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Maps are rotated for optimality.\n", "Optimal rotation (counter-clockwise): 270 degrees\n", "Horizontal beam intensity: 1.00 mW/cm^2\n", "Horizontal beam exposure time: 4 sec.\n", "Vertical beam intensity: 1.00 mW/cm^2\n", "Vertical beam exposure time: 9 sec.\n", "Total accumulated dose: 67.31 Gy\n", "Average dose per unit area: 5.61 Gy/cm^2\n", "\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAssAAAGMCAYAAAAsve+SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plan.optimize(intensity=1., bounds=True, allow_rotation=True)\n", "plan.plot_map(\"target\")\n", "plan.plot_map(\"optimized\")\n", "plan.print_summary()\n", "plan.plot_collimators()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The input maps may also have missing values, as shown in the modified example below. The `optimize` routine will obtain the best solution using only the available constraints." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2gAAAEICAYAAAAqfddOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkRihBpqIiIiIiEiM+Bdjzsr9/tqlUQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plan = PlannerInterface(\"dose_4x3_NaN.map\")\n", "maps = plan.get_maps()\n", "\n", "fig, axes = plt.subplots(1,3,figsize=(16,4))\n", "cmaps = [\"viridis_r\", \"Reds\", \"Blues\"]\n", "for key, ax, cmap in zip(maps.keys(),axes.flat,cmaps):\n", " plan.plot_map(key, ax, cmap)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimize for rotation: 0 degrees\n", "Minimum found.\n", "Optimize for rotation: 90 degrees\n", "Minimum found.\n", "Negative beamlet value detected. Suggestion: Adjust the smoothness.\n", "Optimize for rotation: 180 degrees\n", "Minimum found.\n", "Optimize for rotation: 270 degrees\n", "Minimum found.\n", "Found best rotation (counter-clockwise): 270 degrees\n", "Time Elapsed: 1.9418 sec.\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAASgAAADMCAYAAADApT45AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAASgAAADMCAYAAADApT45AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAAIABJREFUeJzt3Xd4VMX6wPHvu5veCSEFSAECUqU3\nQQERQbCB/YoichULXlCx/SwgolfFguViuxSvFEVALFcBaQpIkV4FQXp6Qhrpyfz+OEtIwmZJ282y\ndz7Pc57knDNnds5u8u7MnDlzRCmFpmmaMzLVdwE0TdMqowOUpmlOSwcoTdOclg5QmqY5LR2gNE1z\nWjpAaZrmtHSA0jTNaekApWma09IBStM0p+VWncRmf1/l1ijIXmWpN17xJfVdBLvJbyL1XQS7aO6T\nUt9FsIu4U8WkpxXX6EMLkXBVQIHNNFmcWa6UGlKjwtWDagUot0ZBNHntEXuVpd60ejW3votgN8de\ndq/vItjF3K4z67sIdjHyhoQaH1tAAT1loM00K9WikBq/QD2oVoDSNM25idlsO0GRY8pRV3SA0jQX\nISI6QGma5sTEta576QClaa5CBMw6QGma5qTEpAOUpmnOSAQu1gd1idEBStNcibjWuDcdoDTNVUgV\nhhlcYnSA0jSXoTvJNU1zZrqJp2maU9Kd5JqmOTVdg9I0zSkJLtcH5Vpno2n/60RsLxc9XGaJSJKI\n7C2zLVhEfhaRPy0/G9j1HMrQAUrTXMW5Pihby8XNASrOF/UssEop1RJYZVl3CB2gNM2VmEy2l4tQ\nSv0KpFXYfBPwueX3z4Gb67bQldN9UJrmMqrWjKuBMKVUPIBSKl5EQu3xItboAKVprqJqneQhIrK1\nzPqnSqlP7Veo2tEBStNciLp4DSpFKdWtmtkmikiEpfYUASTVrHTVp/ugNM1VCGAW20vNfAeMsvw+\nCvi2LopbFQ6vQZ1ZtIr0xWvKbTMH+hH1ceUXBgpOJJA6+wfyj5zC5OeN/8DuBI0YgNTzoDRvHw/u\nHXcNVwxsS1CwL0f+iOfj1//LoX2nKz2m6xWxjHzkaqJjwygsKGL/zhP8++1lnD6eWprGzc3MXWP7\nM/D6TgSH+pOems3iOev5dv4mR5xWOamLfyVl/mqChnQn7IFhVtOkfLWG1IW/WN3XYtZE3AL9ym0r\niEvl2FOfAIpW856v6yJXavvmPL74LIsDewpJTixm0rRgbrzN1+YxSikWzMpm0bxs4k4VERBo4vpb\nfPnHs8bTjVYvy2HRvGwO7iukIF/RLNadMeMC6DfI2xGnVEHt+6BEZAHQH6MpeAqYBLwOLBSRMcAJ\n4LZaFrTK6qWJ5944hPAXx5Su25pkqyQnj4TX5uDVOobGrz5MYVwKyR8vxuTpQeD1fR1R3EpNeHk4\nzVqF8fbzi0lOzGDg9Z3452ejefDm90hNyrogfViTBkx6/26+nbeJN59bhLePB2OeGMIrM+7l/mHv\nlqZ79s3baRQeyHtTlhJ3PJWghn54ejr+6Sy5h06SsXI7ntFhNtMF33gFQdeWbzXEvbsIkAuCkyos\nIu7dRfi0jSZn/7E6LrFtOTmKFq3cGTbCl5eeqHihyrp3p6azbnUe458LIra1O9mZJaQkF5fu37Yp\nn+69vXjkyUACg0z8tDSHiWNT+PTLUDr38LTXqVRK1XLCOqXUXZXssv24GDupnz4okwm3IP8qJc3e\nsIuSgkJCHrkFk4c7HpFhFJxOIuPHDQQM61NvtSgPTzf6XtOWV55YwO6tRwGY+9Fqeva/jOvv6Mnn\nH6y84JiWbRtjdjMz+70VlJQoAL769y+8OWsMAUE+ZKbn0KV3LJ17tWD00HfITM8BIDEu3XEnZlF8\nNo/46UsIe+RGUr+2Xjs6x+Tticn7/D9jYUoGuQdOEPGP4RekTZ67Es/osHoJUH0HeNN3gFGzmTzx\n4gHq2JFCvvw8m6+WhdMs1voXxFOTy49ZfHBCIOvX5LFmRY7jA9S5Jp4LqZc+qKKkM5x45A1O/uMt\nkt7/isLEyv9Y8v88iddl0Zg8zv+B+HRsSfGZLIqSzziiuFaZzSbMbmYK88s/JqMgr4h2naOtHvPn\nvtMUFxUz5JZumEyCt48Hg27qzME9p0qDUe+r23Bo32lG3NuHL1Y+xcwfJvDws8Pw8vaw+zmVlfjx\n9/j3botvh+bVPjZj1XZMPl749Wpbbnv2tkNkbz1E2Jjr6qqYdvXLz7k0jXLjt7V53HhlHNf3ieOl\nJ1JJSym2edzZ7BICAuupe7eWI8mdjcPfRc/YSEIeGkH4M6MIeeBmitOziJ/0KcVZOVbTF6VnYa7Q\nTDi3XpyebffyViY3p4D9O09w14P9aRjqj8kkXH19R1p3jCQ4xM/qMYlx6Tz34BxGPnI132+bzOKN\nLxDTMoyXxn1RmiaiaQPadY6i+WXhTH18ATNe+4GufVry5NQRjjo10n/eRkFCGiF3Dqj2saqkhIzV\nOwjs3xGT+/kKetGZLBI++o6I8cPL1bac2ekTRcSfKmL59zlMfiuYV95tyLEjRUwYk1JaA65o4X+y\nSEooZthw231b9qBEUGbby6XG4QHKp1Mr/Hp3wCM6HO8OsYQ9fQ9KKbJ/3VH5QRXeV6Usfxz1/I0w\n7blFlCjFvFXP8P22ydz0t9788tNuiiv5423Q0I/HXx7Oqu928o+7Pubp+2eRe7aA59+6s7SpKiYT\nSsHrzyzk4J5TbPvtMDNe+4Err21PUEP7/9EXnE4hZf4qIsaPQNyr3wNwdsdhilIyCRzYpdz2+PeW\nEDS4O96tIuuqqHZXoqCgAF55N5guPb3o3MOTV94NZt+uAvbtuvAR46t+ymH6axlMnd6QiKb1NILH\nxWpQ9T4OyuTliUfTUAoTUq3udwvyv6CmVJJ5FgBzoOO/pcqKP5XG06Nn4untjq+vJ2kp2Tw37Q4S\nT1tvet5wV0/ycguY+e7y0m1vPvc1c1c+TdtOUezbcZy05CxSkzLJyc4vTXPir2QAQsODSE89a9dz\nyj14kuLMHI49PuP8xhJF7v7jpK/YSsv5z5erGVWU8fM2vC6LxDOq/GDjnD1Hydl3jNSFa8vle/C2\nlwl7YNgFnezOIKSRGbMbRDc/370Q1cwNsxskxBXTofP5tKt+yuHFx9OY8k5wPV3BMyjTpReEbKn3\nAFVSUEhhXDJebZtZ3e/ZMpK0BSsoKSgs7YfK3XMYcwN/3Bo57KZqm/JzC8nPLcQvwIuuV8SWC0Bl\neXq5X9A0KCkuAUAsf1j7dx7nymvb4eXtQV6u8S3dNKYhAInx9u8s9+vZmpjYxuW2JXz4Le4RwTS8\n5UrErfIbTovSMsnedojwh2+8YF/Muw+XW8/ecpDUxb8S/cYDuAUH1E3h61jHbp4UF8HJ40VERhv/\nKqdOFFNcBBFNzr8PK37IYfKTaUx+O5hrhvrUV3ENl2AtyRaHN/FS5/5E7v6jFCalkXf4JEnTv6Qk\nvxC/q4yvo7QFK4ifOqs0vV+fjpg83En5eAkFJxM5u2Uf6d+tI3Bo/V3BO6frFbF069uSsCYN6Ny7\nBW/MHMOpYymsWLodgNHjB/HPz0aXpt/y6yFi20Rw90MDaBzVkNg2ETzxygiS4tP5c78xdmrNf3eT\nlZHLk1NHEN0ilLadonjomWGsW7GXjDT71p4AzL7eeEaFlVvEyx2zn7FdREieu5KTkz+/4NiM1Tsw\neXng36fdBfsq5ukW7A8mwTMqDLOfY2ocOWdLOLivgIP7CigpgYS4Ig7uKyD+tHGh44M30nnob+cH\nSffs60nr9u5MeSqNP/YW8MfeAqY8lUb7Th60vdy4aLH8uxxemJDKuGcC6dLDk5SkYlKSislIt92R\nbheCy/VBObwGVZyWSfIHCynOysEc4INny0gaTxmLu6U2VJyeRVGZq3omHy/C/+8+UmZ/T9zzH2Hy\n9SJwaB8ChvVxdNEv4OPvxejx1xISFkB2Ri7rV+5jzvs/U1xk1IqCG/nTODK4NP2uLX/xxjNfc9vo\nK7l1dF/y84r4Y/dJXnjoc/JzCwHIyy3guQdm8/Bz1/PegofIzsxj45r9zHp3Rb2cozVFZ7IoSCh/\n5VUpRcaqHQRc2QGTp2OvOFbV/t0FjL0ruXT9k3cz+eTdTK6/xYeX325ISlIxp46fvyprMgnTZzVi\n2uQzPHBHEp5eQs++XjzxQhAmS4138bxsiovg7SnpvD3lfA23a09PPv3KYffUWojLNfGktMO5Cjyb\nN1FNXnvEjsWpH61eza3vItjNsZcdP8DTEeZ3nVnfRbCLkTcksH93QY2iTEBAU9W926M206xe83/b\nanAvXr2p9z4oTdPqzqXYjLNFByhNcxGKKs1mcEnRAUrTXIWAcrH5SXSA0jRXomtQmqY5K12D0jTN\nOYnuJNc0zZm5VnzSAUrTXIa43kBNHaA0zUUYwwzquxR1SwcoTXMhupNc0zTnJOhhBpqmOS9dg9I0\nzWnpAKVpmnNywVtdXOx0NO1/l8KY8tfWcjEi8riI7BORvSKyQES87F/yyukApWmuRC6y2DpUpAnw\nD6CbUqo9YAbutGNpL0o38TTNVdRNE88N8BaRQsAHiKt1sUR8gViMSt4RpVSV567WNShNcyFKbC82\nj1XqNPAWcAKIBzKUUjWea1pEfERkBpAGbAd2AKkiMkNEqjQRvQ5QmuZClMn2AoSIyNYyy4PnjhWR\nBsBNQDOgMeArIiNrUZwZwDBgFNDCstwH3AB8VJUMdBNP01xFFfqZgBQbc5JfAxxVSiUDiMgS4Apg\nbg1LNAIYoZRaWWbbMRFJAb7BCFY26QClaS6kljcLnwB6iYgPkAsMBLbWIr8cjKZiRXFAtpXtF6hW\ngJI8Ex776/nBhHZQvG9nfRfBbgoP967vItjFp9H96rsIdpFc9GONjzWGGdT8tZVSm0VkEUZ/URFG\nn9GnNc+RD4AXRWTMuY5xS4f5ZOD9qmSga1Ca5iqq1sSzSSk1CZhUF8UBegJXASdFZK9lWweMvm9v\nEfm+zOveYC0DHaA0zYU42UjyFGBJhW2Hq5OBDlCa5kKcaT4opdT9tc1DByhNcxVOei+eiMQCbTG6\nyf5QSv1Z1WN1gNI0V+JENSgRCQTmADcCJZbNZkvf0yilVPrF8nDCeKtpWk1VYaCmI00HWgH9AC/L\nciXQEnivKhnoGpSmuQgnnJP8RuAmpdT6Mts2iMgDwPeVHFOODlCa5irqYJhBHfMCMqxsT7fsuyjd\nxNM0F+JkTbz1wKsiEnBug+X314ANVclA16A0zZU4Vw1qArAMOCEieyzbOgCZwJCqZKADlKa5Cicb\nZqCUOiAirYC7gHYY4XM2ME8plV+VPHSA0jRX4lw1KCyBaE5Nj3eieKtpWm05Ux+UiPyfiLxcZn2I\niHwrIh+U7ZeyRQcoTXMV4lwBCqNptx1ARIKBRRj35/UB/lWVDHQTT9NciXM18ZoB+yy/XwccVkqN\nEZGuQJXmldEBStNcRG3ng7KDPMDd8vtA4GfL78lAlZp4OkBpmitxrhrUJmCyiCwGbsOYnxwgBjhd\nlQycK95qmlZzztcH9STQCZgPLFRK/WrZ3gg9o6amafVJKXUQuExE3JVShWW2L65qHjpAaZoLcbI+\nqHP6iUgXjClXtiulVlf1QB2gNM1VONlIcssDEn7EGFaQCIQDZ0VkNzBUKZV5sTzqJUA18vPlyUF9\nuapVDL4eHpw8k8HLP6zi92OV95v1jY1m3IBetAwNoaComO0n4pi24leOpV50zqs60eHKNtz25I20\n7NqckCbBTBv9L1Z8vvZ8+Yb3YNiDg4jt0pygRgE8OWASu3/ZbzPP4PAgxr41itguzWjSMoJVX/zK\ntPvLDw8xu5m567nhDLq3HyFNgjl5MI5/PzuPrcvt9ySaRr6+PN2vL/2aN8PPw4MT6Rm89PMqtpw8\nZTV9z8imjO7WhY4R4fh7enL8TDqzt21n0Z59pWnevG4wt3Rod8GxOQWFdJj+gd3O5Zy9Cw9yYMmf\nZMUbT91u0DyQLmPaE923qdX0cVsT2D3/D5L3pVCQXUhApD8d7mpN65tiraaP35nE92N/Jig6gNsX\nWp3/3zGcq5N8KhCE8dhzAXZj9D99jfEE4wcrP9Tg8ADl7+XJ/L/fwbYTpxk7dylpZ3OJDA4kNTu3\n0mOaBAXwr7tu5IvNO3l68TJ8PDx46tor+WTkcAa/N9sh5fb28+LYvhP8/MUvPP35uAv2e/l6sW/j\nQVbNW8cz/3msSnm6e7qTkZrJV28sZegD11hNM3rqnVwz8ireefATThw4RbfBnZi85CnG93meIzuP\n1eaUrPL39GTh3Xew7VQcf1+0lLTcHKICA0k9m1PpMV2aNOZQcgqfbdlKUvZZrmwWzauDB5FfVMz3\nB/4AYMqqNbz567pyxy382538fsp60KtrfqE+9HysM4FRAagSxaEf/mLFk78wYu5QGrZscEH6hN0p\nBMcG0enetviEeHNyUzy/vrYZs6eZlkOalUubn5nPmkm/0aR7OGeTKn+fHMGZalDALcCDSqljItIc\njFtfLKPLf8QZA9Tf+3YjOfsszy5ZXrrtdLrtml77xmG4mU288/N6SpQC4NN1W/h89G0E+XiRnpNn\n1zIDbPlpB1t+2gHAU7MfvWD/yrnGBYqAhv5VzjPxeDIzxhsB9spbellNc83Iq/jqzW/Z8uN2AH74\neAVdBnbg1idu4I17677m8WAP4/OZ+OOy0m2nMmx/Ph9t2lJuff7O3fSKimRIq5alASq7oIDsgoLS\nNF2bNCa6QRAT//tTHZa+cjH9I8ut93i0E/sXHyJxd7LVANXl/vbl1tvd6k/c1gSOrjpxQYBa+8om\nWg1rDkrx16oTdV/46hBVu8NFgoB/A+0xhlbdr5TaWMPsQoE/rGw/A3hXJQOHx9uBrVuw+1Q879w2\nlA1Pj+Wbh+/m7h4dbR6zNy6RouISbuvaHpMIvh7u3NypLbtPJTgkONUnd093CvIKym3Lzy2gfd/W\ndnm9QS1j2RmfwPs3DmPLow/x/aiR3NO5U7Xz8ffwJCO/8s/mjss7cCg5he1x1h48a18lxSUcXn6M\nwpwiwjo2qvJxBWcL8QzwKLdt39cHyU3NpcuY9pUc5TiqboYZvAcsU0q1BjoCB2pRpEQgwsr2UcC2\nqmTg8BpUZINA7urekc83buezdb/TJqIRzw8dAMC8LbusHnM6PZP7/7OE6bcP48VhV2MS4UBCEg98\n8Y0ji14vti7fxYjxw9i1dj+n/4yn88AO9B3RE5PZPt8tUUGBjOzckVlbt/Pxpi20CQ1l0jXG5/PF\njqr1ew1o0Yze0ZHcPu8rq/v9PDy47rJWvL1uvdX99pJ6+AxLRy+nuKAYd283rn3rKhrGXlh7sub4\nulPEbUngppmDy+W37bM93Dx7iN0+j2qrRR+U5Qbeq4D7AJRSBUCBrWMuYgMwGDhXA/MUkR0Yt8AM\nrEoGDg9QIsK+uETeWWlMqHcgIZnohg34W8+OlQaoED8fXr1pEN/uOsB/d/+Br6cH/7i6N9NvH8ao\nOYtQtavVOrUZE2bz+Kdj+fe+d0Ep4o4ksmLOGq69b4BdXk9E2JuQyFu/GsFjf1IyMQ2CGNmlY5UC\nVNcmjXn3+qFMWbWG3QkJVtPc3K4NZpPwzb7afDlXX1B0ALfOH0ZBVgF/rT7B2kkbueGTQQTHBtk8\nLmFnEqte2MAVT3UntH0IAMUFxaz6v/X0Gt+FgCZ+jih+ldSyD6o5xm0os0WkI0YtZ/y5x5bXwPNA\nY8vvmcBM4AjwhVIqsSoZODxAJWef5XByarltR5LTuKdX50qP+VuPjuQUFvLWivOdrE8tXsYvEx+g\nc2Rjtp+Is1t561tGSiaTR0zD3dOdgIb+pMal8ffX7ybhaJJdXi85+yx/plb4fFLTaOx/8VunujZp\nzMxbhzN9/W/M37m70nR3XN6BZYf+JCPPsc1zs7uZwEijj7BR24Yk709l9/wD9H+pd6XHxO9M4qfx\na+g29nLa3dqqdHtOSi5n/spg7ZSNrJ1iVBBUiQIFn/acx3XvDSCyV+PKsrUPAUwX/bYOEZGtZdY/\nVUp9avndDegCPKaU2iwi7wHPAi/WpDhKqaPAUcvvKcDD1c3D4QFqx4k4moUEl9sW0zCIOBsd5d7u\n7pSUlH/jz62bxLmuq9pLYX4hqXFpmN3M9B3Ri1+//s0ur7PtdBzNG5Rv9jQLbsDpTNsd5d2bNuHf\ntw7n/Q0bmbNtR6XpLg8Pp21YKFNXr62L4taKKlEUFxZXuj9ueyLLJqyh64OXc/nf2pTb5xPqw21f\nXl9u275Fhzi1OZ7B0/rh39jXLmW+mCo81SVFKdWtkn2ngFNKqc2W9UUYAareOLzhPOe37XRsGs7Y\nq3oQFRzI4HYtuadXZ+aXad49cU0fZt93S+n62kNHaRsRyqP9exEdHETbiFBeG34tcemZ7IurUk2x\n1rx8vWjRMYYWHWMQkxAaFUKLjjE0ijSq/P4N/GjRMYaY9sbVoiax4bToGEODsPPNh6fnjOPpOeWH\nKJzL0yfAG/9gI4+oNufH5rTuEUvf4T0IbxZK+76t+edPz2MyCV+9+a1dznPW1m10ahzBI716EB0U\nxHWXtWRU187MLdO8m3hVX76449bS9Z6RTZl16wgW7NzNt/sPEOLrQ4ivD8HeF16oubNTB46mnWFz\nJWOq7GXzBzuI35FEVlw2qYfPsPnDHcRtSyy9Irf5wx18//DK0vRxWxP46R+raXNLS1oOaUZOSi45\nKbnknjFqfWY3E8GxQeUW7waemN2N7e4+7lbLYXdykcUGpVQCcFJELrNsGgjYHsxnZw6vQe2NS2Tc\ngu95/Jo+PNKvJ/EZWby/6rdyAaqRvy9RDQJL1zcfPcnERT8ypm837u/TlfyiInadSuCBL74ht7DI\nIeVu1a05b68pnRyQUS/fwaiX72DFnLVMu/9f9L6xW7nhB098ZtRm//PyQr54+WsAQqNCLsj34x3T\nyq33vrEbCceSuKe5kZeHlwf3vXIXEc1Dyc3OY8uPO3jj3g84m2Gf8TZ7EhJ56JvvmHhVX8Zd0Yu4\nzCzeXfcbc3ec/3xCfX2JCjr/+dzSvh0+Hu480KMbD/Q4/+V8KiODfp/MLF339XDn+taX8eFvm+xS\ndltyUnNZ/eIGclJz8fBzp2HLBgx9/2oiexvNsJyUXDJPZZWmP/jDXxTlFbP7iwPs/uJ8X5lfhC93\nfz/c4eWvqjp4Lt5jwDwR8QD+AkbXOsdaEFWNHmavxpEq5u9P2LE49SNyqn2aS87gr9cr71+5lA0a\nWHkz8lK2+J4fSd6fWqMw4xkdqSKeHW8zzfFHntpmo4nndPS9eJrmSlysS1YHKE1zGaoqV/EcRkRM\nwFCMsVCdgRAgFzgOrMOYI+qkrTycZHSZpmm15iQT1omISUTGYgwxmAVEYzxleDawFEjAeKDCERFZ\nKCItK8tL16A0zZXU8l68OvI0xhXAh4DlSqkSa4lEpCnGqPV1GFOxXEDXoDTNhYjJ9uIg/1JKDVJK\n/VRZcAJQSp1SSk0FdA1K01ye4BQ1KKVU1sVTVS29DlCa5kqcsE0kIndg9Dmdu1foELBAKWX9bvIy\nnPB0NE2rOXWRxbFEZAHGU10uAw5allbAAhGZe7HjdQ1K01yFgDjXMIMxwI3ALUqppRX2DQMWisj9\nSqlZleWha1Ca5jIUYrK9ONj9wJsVgxOAUuq/wGuWNJXSAUrTXEktbha2g/bAMhv7VwIdbGWgA5Sm\nuQpLE8+JalCeQOmcziISLCKvl9mfCJhtZaADlKa5CAFElM3FwU4DUWXWg4CyTxyJwbjtpVK6k1zT\nXIjJiTrJgdXAkyISjnEJseJo8auBNbYy0AFK01yJc81m8D6wHeNK3jllJzJrCUy2lYEOUJrmKgRM\nTjCS/Byl1B6g0qlFlVJ3XSwP3QelaS5CUJhMJTYXZyEiV1YlnQ5QmuZCRGwv9n99WWN5vp61fSEi\n8qSI7AdWVSU/HaA0zUWIgNlUYnNxgO5AuSmFRWSQiCzEeGrM/RhzRDW1cuwFdB+UprmQehhKUNG/\nge9E5D8YY6BGAw2Br4D+SqlqPTFDByhNcxkKcz0PM1BKTRCRZcDjwINAEfAy8IlSKq26+VUrQHkH\n5NN28KHqvobTOx7nmk8+Aeh5lWMfL+4oM5o4/tFVjrDVvaZPGT8/ULO+KaWWActEJApjxsyxwCQR\n+Q5j2t9lqoqPk9J9UJrmKgTMomwujqSUOqGUmqKUigGGAcXAEuC4iLxalTx0gNI0FyHUTSe5iJhF\nZIeI/FBXZVNKrbKMe2oMvIkRsC5KByhNcxkKk9heqmg8YJe+AaXUGaXUh0qpTlVJrwOUprmIuhhm\nYHnSyjCMq3E1LId0F5GQaqSvtDalA5SmuRATyuYChIjI1jLLgxWymI7x2KjaDJqKAQ6IyMci0l9E\nPCsmEJFIEXlURH4HplaWkR5moGkuQlBVqSWlKKW6WdshItcDSUqpbSLSv6blUEp9LSJbgGeAbwEv\nETkCpAHeGP1QYcBWYLpSal5leekApWkupJY3C/cBbhSRoYAXECAic5VSI6ubkVLqOPCIiDxhybcL\n0Ajj0efHgF+UUn9dLB8doDTNRYiAWy1uZ1FKPQc8Z+Ql/YGJNQlOFfLMw7jvrkr33lWkA5SmuQhB\n4SbOM2NBXdABStNcSF3NB6WUWgusrZPMakEHKE1zEULtmnjOSAcoTXMRAueGErgMHaA0zVWIws1U\nXN+lqFM6QGmaixCca07yuqADlKa5CH0VT9M0pyUC7rqJp2mas9Kd5JqmOSVBd5JrmubEzLoGpWma\nM9I1KE3TnJZY5iR3JTpAaZqLMIYZ6BpUlf21eC9Hv9tPTnwWAP7Ngmk9qgvhV0RXeoxSiiNf7+Ho\n0v3kxGfiHuBF1JBWtH+4FwB5KWfZ8+FG0g+lkH0qg6jBLen6/NX2PA2rvn99DI1DAi/Yvn73X4x/\nf6nVY9rGhDFuRF/aRIchAgeOJ/HhkvXsO5pQmmZQt1aMHtqD6LAGnMnO5avVO/li+Va7nUdFhxbt\n5/DSA5yNzwYgsHkD2t3XiSZ9oi56bNbJDJbdtxSU4rbV95Xbd2z5YQ7M203WiQzcfT0I696Yzo/1\nxLuhjz1Oo1IfzcngrRlniE8cLKgVAAAQM0lEQVQqpl0rD96ZEsKVvbwrTT9/SRZvzTjDoSOFBPib\nGHilN9MmhRAeavzr7DuYz+RpaezYk8/RE0W89GQDJk1s6KjTuYC5VhNhOh+7BiivUF/aPdQLv8hA\nVInixE8H2fTccgbMvIXAWOsf4p4PN5Kw4TjtH+1FYPOGFJ4tIC/1/LPCiguL8QjyotXIThz7rv6e\n+XbP1PmYTecfdh8S6MvcF0fy81brzw309nTngwkjWL/7KG8u+BKAMcN68uGEEQx7+jNy8gu5on0M\nUx8YylsL1vDb3mM0iwjmhVGDyC8oYuGanQ45L59QXzo92gP/pgEoBUd/PMS6Z35m8JybaVDJZwbG\n57LhxdWEdgonaUd8uX3JuxLYNOUXOo3rQdN+MeSl5bJ12gY2TlrL1R8Otfcplfrq2ywmvJjMh/9s\nRN8e3nz0eQbD7o5j7y9RRDV1vyD9hi25jHoskWkvhXDTdb4kJhcz7tlk7nk0kZ+/bgJATq4iJtKd\n4UP9eOmNVIedizWCcrlxUHadk7zxlc0I7x2FX9NA/KOCaDe2J24+7qTtTbSaPutEOn8t2kuv14fQ\n+Mpm+DYJIKhVCOG9z9e4fCMC6DihL9FDW+MecMFUxw6Tnp1LamZO6dLn8maczctnZSUBKiY8mCA/\nbz757jeOxadxLD6Nj5ZuIMDXi+jwYACG9W7Lul1/8fXaXZxOyWD9nqPM/nELo67r7rDzanpVNI17\nR+IfGUhAVCAdH+qOu48HqXuSbB6361+/ExQbTOTVzS7Yl7I3Ce9QX1rf1QG/xv6EtA+l1W3tSN1v\nO8+6Nv2TdEbdHsADIwNp08qD919tRESYGx9/nmE1/aZteTSNcGPC2CCaRbnTq6sXj44JZPP2vNI0\n3Tt5MW1SCH8b4Y+Pd/1O8S+AuxTbXC41DntHVXEJp1Yepii3kOAOYVbTxK87im9jf5I2n2D5bfNY\nfutctk5dTf6ZXEcVs8Zu6tueHzf9QV5BkdX9xxPSSMvM4aa+7XF3M+PuZmb4lR2IT83krzjjm9fd\nzUx+Yfnj8wuLCA/2J6JhgN3PoaKS4hKO/3yEotxCQir5zABObzjB6Q0n6Pq49Sc0N7o8jLyUHE6v\nO45Sivz0PI6vPEJE70h7Ff0CBQWKbbvzGdS/fJNyUD8fNm7Ns3rMFd29iE8q4vsVZ1FKkZJazFdL\ns7huoK8jilxtIgqTlNhcLjV27yTPOJLKLw99Q0lBMW7e7vR6bTCBLaw3Fc7GZZGTmM2plUfo+vwA\nEGHvhxvZ+PRP9PtkOFKmSeVMerWNpmmjIJau21Npmpz8Qh6ctpB3xt3E6KE9AIhPyeSRdxaVBqWN\n+44x8c4B9GobzeYDx4kMDWLktV0BowkZn5pp/5MB0g+n8fOD31Fs+cz6vn4NQbHBVtPmpuTw++vr\n6fvPa3D39bCaJqRDGFdMGcBvk9dSnF+EKlaE92hCrxf72fM0yklJK6a4GMJCzOW2hzUys2qd9ZpF\n727ezJsRzj2PJpCbpygqgmuu8mbOe6GOKHK1natBuRK716D8o4K4evZt9PtkOM1ubse2V9eQ+Vea\n9cQlipKCYrq+eDUhnRoT0jGCri9ezZkDSZw54NjmQHUMv6oDe48mcOhkcqVpPN3dmHTfYHYfiee+\n1xZw/+tf8ceJJN4ZdxNeHsb3xDe/7uHLVTt4e9xNbPp4AnP+728s33IQgJKqPcq+TvhHBzLk8+EM\n+uxGYoe3YdMrv5B+xPpntnHyWmKHtyGkfeX/tBlHz7DtnY20H92ZwXNupv+7Q8hNzeH3N9bb6xQq\nJRW+45Qy/rGt2X+wgAkvJvPC48H8vjySH+dHkJhczENPV/451y+F+SLLpcbuNSiTuxm/psbVrgat\nQzlzIInDX+2my3P9L0jrFeKDmE34RwWVbvOLDETMJnITs6Fd5c2M+tLA35t+nVrwxrzVNtMN6dma\npqGB3P/6l6XB5vnPfmTt+48yoEtLftpkdPh/sHgd/1qynoaBvpzJyqFHG+PqWVyK9X4SezC7m/GP\nND6zhm0akXYgmYNf7qXn81ddkDZxWxxJO+PZO2u7sUGBKlF82Xcm3Sb2Ifbm1uz/zy4atm1Em5GX\nG2liwc3bjZUP/cDlD3XDN8zP7ucUEmzGbIaE5PI1jKSUYsIama0e8/oHZ+jeyYuJjzQA4PK2nvj6\nmOh382mmPhtMZJMLO9brk1GDst7FcKly+DgopRQlhdarocEdwlHFJWSfzsCvifEPcjYuE1Vcgne4\n/f+Ia+KGPu0oKCpm+ZY/bKbz8nBDqfI1IaUUSikqtlxLlCI53bjMP7hHa3YdjuNMVv31wymlKK7k\nM7tu7ohy66fXHWffnJ1cO/MmfBoZfTVFeUWIufxJljbXHfSl7uEhdL3ck5W/5HDbDef/llb+msOI\nodb7lHJySzBXiF3n1h1Yoa0yoVqPN78k2LWJt/ejTaTsiudsfCYZR1LZ9/FmUnbE0XRQSwD2fbyZ\n9eO/L00f2q0pQa1C2P7PtaQfSiH9UArb/7mWBm1DadD6fBMi/c8U0v9MoehsIQWZ+aT/mULm0Uqa\njXZ2c98OrNhykJz8wnLbbx/QicWv3Fe6vnn/cXy9PXhu5EBiIoJp3rghk0YPpqRE8fsfJwEI8vPi\n1v6XExMRTKvIRky8sz/XdGvF21+tddj57JyxhaSdCWTHZ5F+OI2dM34naXs8MYNjLft/Z/W4H0vT\nB7UILrd4N/JFTEJQi2A8LFdZm/SN4tSvx/lzyX6yT2eSvCuBbe9upMFlDfF14BfPhLFBfL4wk3/P\ny+DAoQImvJBMXEIRY+81vgxHPZbIqMfOX2G+/lpfvlt+lo8+z+Cv44Vs2JLLhBdS6NLBs3RYQkGB\nYufefHbuzScvX5GQVMzOvfkcPlrgsPM6RwAPKbK5XGrsWoPKT8th65RV5Kfl4ObrQWCLhlzx1jDC\nehpXb/JSz3L29Pmmi5iE3m9ex67pG1j36LeYPM2Edm9Kh8euKNdBvmb0onKvk7DhOD7hfgxeVKtH\neFVbt8siiQ5vwIszf7pgX5C/NzER5zuWjyWc4fEPlvLgDb2Z89ydKAWHTibz2HtLSDqTXZpuWO+2\njL/1KkSE3UfiGDttYbmBnPaWl5rLxpfXkpeag7ufB0Etgun/zhAiejW17M8h+3T1OuubD2tFUU4h\nhxbtZ8f7m3H38yCsS2M6jethj1Oo1B03+ZN2poTXpp8hPimZ9pd58sPcxkRHGsHm5OnyXzL33RFA\ndnYJM2Zl8NTkFAIDTPTv480bL4SUpolLLKLroJOl60eOFfLpF5n06+3F6iVNHXNiFiLK5TrJRVWj\nrtqgdagaMPMWOxanfhyf3bK+i2A3l/29/gaz2tPcmLX1XQS76DH4JFt35dXocnWzDn5qypL2NtPc\n22rzNhuPPo8E/gOEAyXAp0qp92pSlrqi78XTNBdhQuFRuxpUEfCkUmq7iPgD20TkZ6XU/ropYfXp\nAKVpLqQ2gzGVUvFAvOX3LBE5ADQBdIDSNK12pPY1qPN5icQAnYHNdZJhDekApWkuwnhw50VrUCEi\nUnZ6jE+VUp+Wy0fED1gMTFBKOeb2hUroAKVpLsKoQV10KEFKZZ3kACLijhGc5imlltRl+WpCByhN\ncxG1HWYgIgLMBA4opd6ps4LVQv3OD6FpWp2q5b14fYB7gKtFZKdlcdyEXVboGpSmuQhB1epePKXU\neiq/d7pe6AClaS5C0I+d0jTNSRk1KNe61UUHKE1zEboGpWma0zLmg7r0pvW1RQcoTXMRRoDSNShN\n05zSpTmtry06QGmaixABd6caJFB7OkBpmosQBLNzDWOqNR2gNM1FGH1QOkBpmuakTLoGpWmaMxLA\n3cVur9UBStNchCC4i/Vn/F2qdIDSNBdhTFjnWk28aj3VRUSSgeP2K46m/c+LVko1qsmBIrIMCLlI\nshSl1JCa5F8fqhWgNE3THMm1etQ0TXMpOkBpmua0dIDSNM1p6QClaZrT0gFK0zSnpQOUpmlOSwco\nTdOclg5QmqY5LR2gHEhE1orIh7XMI0ZElIhU+vjq2hKRbpbXiLHXa2haVeh78exARO4DPlRK+VXY\nNQIorGX2J4EIIKWW+Wia09MByoGUUml1kEcxkFAHxdE0p6ebeBWIiKeITBeRRBHJE5FNItK3zP7+\nlubP9ZZn1+eJyDYR6XpuPzAb8LWkUyIy2bKvXBNPRI6JyEsiMkdEskTkpIjcISJBIvKliGSLyJ8i\ncm2ZY8o18Sx5KitLf8t+DxF5Q0ROichZEfldRAZXOOchIvKH5VzWAa2q8D7VpOxmEZkpIkdFJNey\n/2kRMZVJM0dEfhCRFyyfQbaIzBYR7+p9kppLUErppcwCvAfEA8OANsBnQDYQYdnfH1DAH8BgoD3w\nNUatxgfwAMYDZ4Fwy+JnOXYtRtPv3GsdA9KAR4CWwNtAHvAjcC8QC8wEkgAvyzExltfvZlkPLvM6\n4cBHlrKEW/bPAzYBVwHNgXFAAdDRsj/S8pofAK2B24FTlteIsfE+1aTs7sAUoLvlPG4H0oExZfKd\nA2RZ3tP2lvf4NPB+ff9t6MXxS70XwJkWwNfyz3tvmW1m4Agw1bJ+LkDdXSaNn+Uf7e+W9fuAbCv5\nWwtQCyrko8r+M1oJSOXWK+R/B5AL9LKstwBKgKgK6ZYCMyy/vwYcwjKzhWXbC1UMUNUqeyX5vA6s\nLLM+x/Je+pXZNhLIB3zr+29EL45ddB9UeS0wvuU3nNuglCoWkY1A2wppN5ZJky0ie6ykqYrdFfLJ\nAfaU2Z9o+RlqKxNLk28WRm1kk2VzF4x5zPZL+cn0PYHVlt/bAJuUUmXn3dlI1VS77CLyEPB3IBrw\nxni/K84xtlsplV2hPB4Yn89utP8ZOkCVd+6/2NokWfaaOKviVT1VYdu51620v1BEGmPUit5RSs0v\ns8tkOb67ldfJPXd4dQtcRrXKLiJ3ANOBicBvQCbwKDC8FmXQXJjuJC/vMEYTr2ynuBnoDeyvkLZX\nmTS+GP0lByybCjCahnYnIl4YwWkT8FKF3TswAlC4UupwheW0Jc1+oKeUr2L1wj76ApuVUh8qpbYr\npQ5j1Ioq6mB5T8uWpwCjqa39D9EBqgyl1FmMTubXRWSoiLSxrIcBMyokf0FEBolIO4ymVQFwrvZy\nDPCy7A8RER87FvsTIAh4GggTkXDL4qGUOoTRST5HRG4VkeaWQZgTRWSE5fiPMfqKpovIZSJyK/CQ\nncp6COgiIteJSEsReRHoZyWdGzBLRNqJyCCMfqrPLJ+P9j9EB6gLPQMsxBgqsBO4HBiilIqvkO5Z\njCtX2zGuYl1/7h9IKfUbxj/+AiAZI3jYSz/L6x/BuPp4brnCsn+05VzexLjy+APGFb3jlrKewBhA\nOgTYBTxuOTd7+ATjvZ0P/I4RGN+2ku4XYB+wBvgGo7/Mnu+h5qT0nOTVZBlftAZopJTSo7nrmIjM\nAUKUUtfXd1m0+qdrUJqmOS0doDRNc1q6iadpmtPSNShN05yWDlCapjktHaA0TXNaOkBpmua0dIDS\nNM1p6QClaZrT+n9ZhL5rvXjzzQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Maps are rotated for optimality.\n", "Optimal rotation (counter-clockwise): 270 degrees\n", "Horizontal beam intensity: 1.00 mW/cm^2\n", "Horizontal beam exposure time: 4 sec.\n", "Vertical beam intensity: 1.00 mW/cm^2\n", "Vertical beam exposure time: 8 sec.\n", "Total accumulated dose: 64.51 Gy\n", "Average dose per unit area: 5.38 Gy/cm^2\n", "\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAssAAAGMCAYAAAAsve+SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plan.optimize(intensity=1., bounds=True, allow_rotation=True)\n", "plan.plot_map(\"target\")\n", "plan.plot_map(\"optimized\")\n", "plan.print_summary()\n", "plan.plot_collimators()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a final example, we next test a larger map:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAH3CAYAAAASSZ3ZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqdgQERERT6nYEBEREU/9P/iXfbF2t5I0AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = 8\n", "n = 8\n", "plan = PlannerInterface(\"dose_8x8.map\")\n", "plan.plot_map(\"target\",fontsize=12)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimum found.\n", "Time Elapsed: 28.8361 sec.\n" ] } ], "source": [ "plan.optimize(intensity=0.2, bounds=True)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhsAAAH3CAYAAAASSZ3ZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Horizontal beam intensity: 0.20 mW/cm^2\n", "Horizontal beam exposure time: 18 sec.\n", "Vertical beam intensity: 0.20 mW/cm^2\n", "Vertical beam exposure time: 21 sec.\n", "Total accumulated dose: 279.07 Gy\n", "Average dose per unit area: 4.36 Gy/cm^2\n", "\n" ] } ], "source": [ "plan.plot_map(\"optimized\", fontsize=12)\n", "plan.print_summary()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAr8AAAGMCAYAAADTH8pwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plan.plot_collimators()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the difference between the optimized dose map and the target map to highlight over and underdosed regions, as well as the error (magnitude of the difference plot)." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi0AAAH3CAYAAAB3pG+mAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAAIABJREFUeJzs3XdYU2f7wPHvIawQNoig7Cm4FWdd\ndWu11k5bO7R714737d7bqh2/7lZbu6yt1lZb92htHXWLG5mCogyRFSCD8/sDC2KCCjWJ+N6f68p1\n5eTcJzxPDjm5cz/POVFUVUUIIYQQ4kLn5OgGCCGEEEKcC0lahBBCCNEiSNIihBBCiBZBkhYhhBBC\ntAiStAghhBCiRZCkRQghhBAtgiQtQgghhGgRJGkRQgghRIsgSYsQQgghWgTnpgRrfX1Un5BgW7XF\nYYqLzI5ugu24axzdAptw0iiOboJNuLk4ugW2YzA6ugW2EeBR4+gm2Iz5Ir1get6+g4WqqrZyZBs0\n2hBVNVef9+dVjcXLVFUded6f+ALRpKTFJySYm2Z/aKu2OMy8r0od3QSbUdv5O7oJNuHldXEmLVFt\nLs5+AWQfvTg/AW/pUuXoJthMseHiLMa/kjws29FtUM3VuAWPOO/PW5XzfeB5f9ILyMX5HymEEEKI\ni06TKi1CCCGEOA8UBUWRukFTSdIihBBC2JkCKDLY0WTyigkhhBCiRZBKixBCCGF3MjzUHPKKCSGE\nEKJFkEqLEEII4QBSaWk6SVqEEEIIB1CUi/e6TLYiaZ4QQgghWgSptAghhBB2pyB1g6aTV0wIIYQQ\nLYJUWoQQQggHkIm4TSevmBBCCCFaBKm0CCGEEHamKFJpaQ5JWoQQQgi7U+S3h5pBXjEhhBBCtAhS\naRFCCCEcQIaHmk5eMSGEEEK0CFJpEUIIIexOfuW5OSRpEUIIIRxAkpamc3jSsmXOPDZ9NRdTdTXx\nl/Zn6OMP4ezqajXWWFXF7+99QurKPzCbTATFxTDhk7ft3GJLPh4uvDmxG/3bBVFcYWDqwj0s3JLb\naLyLRmHJk0PwcHOm77NL6x7PfH88+moT6snlX7fm8sR3223c+sb5uDkzdXAC/cP9OF5pZOrGTBam\n5lvE9Wnry4M9ImjfypPSahP9vvq7wfpHekUyPDqAWD8d72/J5p1N2fbqwhndlNSWWzuE4aZxYmV2\nIS9vPIixRrUa2yvYl6d7xxKsc2NXQRnPrDtAXkU1AI8mR3FpWCCBWhfy9QY+SznEogzL18me0uf/\nQPoP32Guriak/0A6PvAIGivvq7LsLLZPfRV93mEAfOIS6HDvQ3hFRDaIqzEa+f2uyZirKhn23Xx7\ndMGqGxPbMrl97T5bdaiQV/5ufJ/1DPblqZ61+2x3YRnPrq/fZy/1jWd0ZFCDbS+Zu45Gnsrm/vj6\nJ9bM+gFjdTUdh/bj6mcesHoc3Prbaua99G7dsqqqGKuqmfL9+4QlxbHsw69Z+fkcnF1c6mIem/8x\nAaEhdumHNX9/O5/1X83FVFVNu8H9GfXkg2c8xq9851P2rviDGpOJoPgYbvlsBgB/fPIV62Z9h8a1\nvm93zvkUPwf2TdifQ5OWzI2b2TT7e679cBqegQH8/PjzrP9sNgPuu8Nq/PLX36bGZGby3Fm4e3uR\nn5pu5xZb99K1nTGaaujx5GKSQn2ZeU8f9uWWcPBomdX4O4fGUVRejYeb5cs/+vXVZBdW2LrJ5+Tl\ngXEYa2pInrWepEBPZo3pyL7Ccg4e1zeI0xvN/LAvD/eDGu7rHm7xPNkllbyxLpOJHS6cg0vfNn7c\n1iGM25anUKA38M6lSdzXJYJ3tmVZxPq6OfP2pUm8sD6V33OKuL9rJG8NTOTGxTsAqDTW8MCq3WSV\nVtIh0IuPh3bgUFkVOwtK7dyrWvlbNpE291v6Tn0Ht4BAtrz4NKlfzyLxtrstYt0DAkh+9iW0rYOh\npobMhQvY+toLDPrkywZxaT/Owc3XF/3RSjv1wlLfED9ubR/GHStSyK808PbAJO7tHMG727MsYn3d\nnJkxMIkXN6TyR24R93WJZGr/RG5auqMu5ou9uXyww3Jbe9u/bgurZ87lns/fxDsogC+nvMTSD79m\nzJTbLGK7XzaY7pcNrlve9MtyVn7yHaGJsXWPdRkxkImvP26Xtp9N+obNrJ/9PTd+9BaerQL48bEX\nWPvJVwx+4Har8b+9+g41JjN3z5uJ1tuLY6cd45OGD+KKl5+wR9NtTqH2pGfRNA6tTe35bTkdLx9F\nYHQk7t5e9Ln1Rnb/utxq7PHsHNLXbmD4kw/j4eeLk0ZDcGK8nVtsSeuqYWSXtsz4bR96g5ktGUWs\n2pXH+J6WH94AoQEeXNEjnA+Xp9q5pU2jdXZiZEwg0//OQm+sYUteKSszi7gyobVF7M78MhYcyOdQ\nifUPtPn7j/H7oeOUG822bvY5GxfTmp8OHiX9hJ5Sg4lPdh5iXGyw1dih4YGkn6hgeXYhhhqVj3Zm\nk+CnI8pbC8CHO7PJLK1EBXYVlrE1v5TOrbzs2JuGclcsJXzkZXhFRuHq5UXcxFvIWb7UaqyLpxce\nwSEoioKKiqJxouLI4QYx+rwjHF61nNgJN9qj+Y0aG9OaBWlHSS/RU2Yw8emuQ1weY32fDTm5z1Yc\nqt1nH6dkE++nI/LkPruQbFm4gl7jRxAcG4mHtxdD77yBLb+sOOdtu48diqJcmB9+Kb+uoPO4kbSK\niUTr7UX/2yeys5FjfFFWDqlrN3DZ01PQnTzGh1wAx3hxYXFo0lKUkU2ruOi65VZxMeiPF1NZUmIR\nm7dnH94hQaz/bDYfDL+SL2+4ndTVa+3ZXKuigjypqVHJzC+ve2zf4RLiQ6x/aL1wTWfeWriHqkY+\nwOc+3J9Nr43io9t70dbfwyZtPhfRvh7UqCqZJ+oTkX1F5cT56xzWpvMpxteDA8X1Fa0DxeUEal3x\nsVL9ivHVNYitNNWQU1ZFjK/la+GmcaJDgCfpJ/QW6+ylLDsT7+iYumXv6Biqi49jKLV8X/1jyfjR\nLL5sGLs/eJe405KTXR++S7vJd6Jxc7NZm89FjI8Hqafsh9R/9pmrlX3mo2sQW2mqIbe84T67Lj6E\ntdf2Yc7orgwJD7Rt48/gaHo2IQn1x8E2CdGUFRVTceLMlbrjR46RsXU3yWOHNnh87x8beabfVUwd\nfwfr5y6ySZvPVUFGNq3j6v8XW8fHUFFUjN5K3w7v3o9PcBB/fPIV04dcxSfX3cG+VX82iDm4dgPT\nBl/Jx9feztZ5ju3bv1c7Efd83y52Dh0eMlRW4uZZfxD5576hohKtj0+D2LL8QgrTs4i7tD93/zaX\nI7v28tMjTxMQFUFAVIRd230qnZszZVXGBo+VVZrQuVu+tMM7heDspLA8JY9ecZYHyeveXsv2rOO4\nuzrz2JhEZt7dh8veWI3ZAQPtHi4ayqobJlZl1SY8XTV2b4steLhoKDeY6pbLDbV91TlrKKk2WcQW\nVxkaPFZuNKFzsXwtnu0dx4HiCtYdKbZBq8+NqbISF51n3fI/9016Pa7ePla3GbVgMabKSnJXLK0d\nKjop76+1qGYzIf0GULjTcfOr4OT/pNHKPnPRUGI4+z4rM5jQOdfus+/2H2H6lgzKjSb6hPgxdUAi\nRZUGdjhgSM+gr0J7ynHwn/vVFXp0vt6Nbrd10Uqiu3UgILR+f3UeMYDeV4/GK8CX7F37mf3IK7h7\nedJt9KW268AZGPSVuFs7xuv1eJzWt9L8AgrSs2g3uD9Tln5Pbspevp/yDK2iwwmMiiBp2EC6XTka\nnb8fh3fvZ/5/X8LNU0eHkYNpkeQy/s1i16Rl79JVrHijduJs2y4dcdVqqa6o/0ZqqKj9ZuSqsyzh\nOru54uTsTJ/JN+LkrCGsW2fCunch6++tDk1aKqpNeJ6WoHi6O1NR1fAgqnXV8MQVHbj1o/WNPtem\n9CIAjJVGXpyXwq5pY4kN9uLAEfsfSPVGs0WC4unqXPdB0dJcFhXEc33iANh2rKS2f6ckHbqTfa0w\nWfZPbzSjczltH7s4U3FateyR7lHE+Xlw67KU8938M8pdtZyUd6cD4N+hE85aLSZ9fZXhn/vOHmeu\n3DlrtUSMGceyay7n0s+/RuPuzr7PP6Lnq1Nt1/gzGB0VxLO9Tu6zfCv77OT90/cDnGGfndy/+4/X\nV0b/OlLM4sx8hoQH2iVpOXUybXS3Drh6uFN1ynHwn/tuujPvry2LVjLk9gkNHguOqT8WRnVpT/+J\nV5Cy4k+7JS27lqxi8WvvABDetSOuHg2P8dXltfddrfwvuri54eTsTP/bJuLkrCGie2cik7uQsXEr\ngVERtIqu71tY5/b0uH48+1f92XKTFtEsdk1akkYOIWnkkLrlX599lYKDGbQbOgiAgoMZePj7WVRZ\nAFrFRls8diHIzC9H4+REZCsdWQW1Hw6JbX1IzWs4CTeylSehAR788PAAAFw0TnhpXdj02ijGT/uD\nw8cthxNUcNg0rYwTejROCpE+WrJOzlVJDNRx8PiFMUm4qX7LzOe3zPozet7s3454f0+WZRcCkODn\nSWGlwaLKApB+ooLLY+vn8midnQj1cif9RP1rcW/nCPq19Wfysp1WP0RtKXTIcEKHDK9b3vb6S5Rk\npNNmYO3BvDQ9DTc//0arLKdS1RrM1VVUFRWAoqA/dpT1jzwAQI3JiLGiguXXXUG/dz/CI9i2E6sX\nZ+az+JR99nq/dsT7ebL8n33mf3KfGazss5IKxkafeZ+dSlXt9147fTLtN4+/zpEDGXQZMRCAIwcy\n8ArwO2OVJXP7Hkrzi+g0rP8Z/5a9p7p0HDWEjqPqj/ELnn6NY6npJA2r7duxg+noAvwsqiwAQXFR\nTfpbCqDioNO9zhOptDSdQ1+x9qOHsWvhEgozsqkqLWPDrG/pMGa41djQrp3wDg7i79lzqDGZObxz\nNznbdhLZO9nOrW6o0mBm2c4jPHxZIlpXDd2j/RnaKYQFmw41iEvNK6XvM0sZ/fpqRr++mie+205h\nWRWjX19NXrGeuGAvEtv64KSAh6uGp6/syLETlaQ1cgaSzftlqmFZeiGP9IpE6+xE92BvhkUF8tOB\nYxaxCuCmUXBxqv13qr1ff7R0dlJw0yg4KaBR6u870sL0Y1wZF0y0jwfers7c2SmcX9KOWo1ddaiI\nWF8dQ8MDcXVSuLtTBKnFFWSW1iZzt3UIY3R0EHeu2GU16bG30KEjyFn6G2XZWRjKykj97ivCho+0\nGluwdTMlaamoZjPGigr2fvwBLp5eeIZH4BUZxdBv5zHgo5kM+GgmnR/+L26+fgz4aCbaVkF27hUs\nyjjG+Njafebl6swdHcNZmG59n60+uc+GnNxnd3WM4GBxBVkn99nQ8EC0zk4oQJ8QPy6LDuL33CI7\n9qZe8tihbFqwjKPp2ehLy1j56Xckjxt2xm22LFxBx6H9cD+tGrN7zXr0pWWoqsqhXfv587tfaD+o\njy2bf0adLhvGjoVLKcjIprK0jL9mfkfnRo7x4d064RMcxLova4/xOTt2k711J9F9ao/xB35fT+XJ\nvh3evZ/Nc38mfmBfe3ZHXAAUVT33TDU4MUG9afaH57UBW76bx6avvsdUbSDu0v4Me6L+Oi1fTLiN\nXpNuqKvOFGZksezV6RSkZeIdHET/e24lblC/f92GeV/9u5Kwj4cLUyd2o99p12npERPAF/f2pcOj\nlhPGesUF8vbNyXXXaekTH8gr13Uh2FeL3mBmW0YRr/+8u65601xqO/9mb+vj5sxbQxLoF+ZHcZWR\nNzfUXqelR4gPX47tSPtP/wKgd1sfvh/fpcG2Gw+fYMKCnQBMG5LA1YkNz/J4bOV+5u23TIDOlZfX\nv896bj71Oi2HCnlpQ/01PxaM687nKTl11ZneIb481SuWEJ0buwrLeOavAxw5ec2PXbcMwGCuwXTK\n3KPPdh3i8105TW5TVJvzk82lz5tL2g/fUWOoJqTfQDo++GjddVrW3HEzcRNuJHTIcI6sXcP+L2dS\nVViAxs0V3/h2JN52d4OJvP8o3Lmd7W++0uzrtGQf/fffim867TotL59ynZafxnbn8905ddWZXsG+\nPNmzfp89t75+n30xvDNxfjoU4HB5FbP25LA0q6BZbbqlS9W/7tcfX81n9awfMFYb6DT0Eq5+tv5a\nJlPH38GQ26+vq84Yqw28MHgCt0x/lvjeXRs8z9f/fZ3UDVsxGYz4tA7kkuvG0n/iFc1uV7Hh33+v\n3fjNPDZ8NRdjtYF2g/sx+sn6Y/zH197OJZOvr6vOFKRn8esrM8g/mIlPSBCD7p1Mu0trj/E/PfUq\nmX/X9s07qBXdrxlLzwnjm9WmV5KHbVVV1aHfeF20IWpA1KTz/rzH9r3h8L7ZksOTlgvBv01aLmT/\nJmm5kJ2PpOVCdL6SlgvR+UhaLkTnI2m5UJ2PpOVCJElLy+XwK+IKIYQQ/4tkTkvTSdIihBBC2Jki\nP5jYLPKKCSGEEKJFkEqLEEII4QCK1A2aTF4xIYQQQrQIUmkRQgghHEDmtDSdJC1CCCGEvSnKBfvr\n3BcySfOEEEII0SJIpUUIIYRwABkeajp5xYQQQgjRIkilRQghhLAzBTnluTkkaRFCCCHsTq6I2xzy\nigkhhBCiRZBKixBCCOEAUmlpOnnFhBBCCNEiSNIihBBC2J2CgtN5v531ryrKLEVR8hVF2d3IekVR\nlPcURUlTFCVFUZRu573r/4IkLUIIIYQjKE7n/3Z2XwIjz7B+FBB38nYn8NG/7ud5JEmLEEII8T9C\nVdW1wPEzhIwDvlJrbQR8FUUJsU/rzk4m4gohhBD2plywE3HbAjmnLOeefCzPMc1pSJIWIYQQ4uIR\nqCjKllOWP1VV9dMmbG/tVxzVf9mm80aSFiGEEMLOFGz2K8+Fqqom/4vtc4GwU5ZDgSP/rknnzwVZ\nmxJCCCGEQywEbj55FlFvoERV1QtiaAiaWGkpPlHDjwurbdUWh6mJ83N0E2wmKU7j6CbYRKiHydFN\nsIn+rasc3QSb2eHl6ugm2MTPmR6OboLNVFZeMKMCFyVH/PaQoihzgEHUDiPlAs8DLgCqqn4MLAZG\nA2mAHphs90aegQwPCSGEEA7giIm4qqpef5b1KnCfnZrTZDI8JIQQQogWQSotQgghhN0pYJuJuBc1\nqbQIIYQQokWQSosQQghhbwpSNmgGSVqEEEIIR5DhoSaTPE8IIYQQLYJUWoQQQghHkEpLk0mlRQgh\nhBAtglRahBBCCEeQskGTSdIihBBC2JsCqgwPNZnkeUIIIYRoEaTSIoQQQjiCFFqaTCotQgghhGgR\npNIihBBCOIKTlFqaSiotQgghhGgRpNIihBBC2J38ynNzSNIihBBC2JuCTMRtBhkeEkIIIUSLIJUW\nIYQQwhFkIm6TSaVFCCGEEC2CVFqEEEIIR5CJuE1mt6TFR+vC1PEd6R8byHG9kanLD7Aw5YhF3K19\nIpnUJxI/Dxf0BjO/7srjtWX7MdeoBOhcef6yJHpF+qN11ZB6rIxXluxjR26JvbphlY+bM28NTWBA\nhD/HK428uT6DXw7kW8T1CfXloZ4RdAjyoqTaxCVfbGywft3k3rTycMFcU7u8Na+EG39OsUcXmiTr\np7lk/vgdNdXVtO43kKT7H8XJ1dUirjw7k13TXkWfdxgA79gEEu95CM+IKHs32ardP/xIyndzMFUb\niBzYn0seeRiNlX6catsXs9n+xZeMnDGNtsndAagoKGD9jHc4mrILZ3c3utx8E4njLrdHFxq17MsF\n/PbZjxirqkkefgk3v3g/Lo30bdPitSz4v28oPlqIf0ggVz0yie5D+wLw508rmPX0O7i612875eMX\nSezVyS79ON22OfPY8s33mKoNxA7qz+D/PoSzlX6V5B3liysn4qJ1r3ss+cYJ9Lr1JgC+uuFWyo4e\nq1tnMhiI7N2TcdNetX0nrLgmug03xIbipnHij7wiZqSkYaxRLeKS/Ly4rV04CT6e1KiwvaiE93al\nU1RtBGBCTFtGhgUR7OFGSbWJBVl5fJ9+2N7daeD6+Dbc0i4MN40Tq3MLeWOr9b45Oym80rsdif6e\ntNG5c9fqFLYV1B/buwf5cHtSOO38PCk1mhj362Z7dsM2JGdpMrslLS+PbY/RXEPyG6tICvFm1k3J\n7DtaysH88gZxKw/kM297LqVVJny0Lnx0fVcm9Y5k5vpMPFw17Mwt4eXF+yiqqOa67mHMuqkH/aav\nQW8w26srFl65NA5jjUq3z9bTvpUnX1zekX0F5aQe1zeI0xvN/LD3KAtT87mvR4TV57p14W7+yim2\nR7ObpXDL32T+8C093ngXt4BAtr/0FGnfzCL+1rstYt0CAuny9Mu4tw6GmhoOLVrAztdf4JKPZzug\n5Q3lbtrEzm/nMPqd6XgEBrLy6WfZNutLetx9Z6PblB4+TNbvf+ARENDg8T9eeQ3/mBiGvPwixVlZ\nLH7oEXzCwmjTrautu2HVrj+38tunP/D47DfwDfLnvftfZsF733DtY7daxBYfK+ST/77FQx88R8cB\nyez8YzMfPvQa01Z/iXeALwCxXdrx9Jzp9u6GhayNm9ny9Ryuen86usAAFj3xPBs/n02/e+9odJt7\nli/EyVlj8fjN382qu6+qKl9cfRNxgwfapN1n06OVLxPjQpmyfjeFVdW82iOJWxPC+WRftkWsl4sz\ni7KO8mzBCcyqypSOMTzRNZ7/bNwD1H5xf217KumlFbTx0DK9T3vyK6tZfaTQ3t0CoHewL7ckhnHv\nml0UVBp4q18id3WI4P2ULKvxOwtLmJN6mDf6JlqsqzSZWZh5jOWHCpiUFGbjlosLlV3mtGhdNIxM\nCmb6yoPoDWa2ZBezcn8+V3ZpaxF76Lie0ioTUJuE1qgQGeABQE5xJTPXZ1JQXk2NCnO25OCiUYgO\n1NmjG1ZpnZ0YFduKaRsy0RvNbD5SwsqMQq5MDLaI3XmsjJ/2H+NQSZUDWnp+HF65lLYjLsMzMgoX\nLy9ibriFwyuWWI118fRCGxyCoiioqChOTnVVF0c7uHQZCZeNwi8qCjcvL7rechMHly494zYb3nmP\nHnffiZNLfa5v1FeSt30HnW++ESdnZwJiY4kaNIDUxdZfE3tY9/NKBlw9grZxEeh8vBh37/X8tWCl\n1djjRwvx8NLRaWAPFEWhy6CeuGndyD+UZ+dWn92+xctpP3YUAdGRuHt70Wvyjez9bdm/ft7D21Oo\nLC4m7tL+56GVTTcyLIjfso+RVaan3GhmduohRoa1thr7d34xv+cVoTeZqTbXsCDzCB39verWz0k7\nTGpJBWYVcioq+evocTr6e9urKxYui2zNwoyjZJTqKTOamLknhzGR1vtmqlGZk3qEnYWlmFXLSsze\n4+Usyc7ncEXLPX42oFA7Efd83y5ydqm0RAfqqFFVMosq6h7bl1dKryh/q/GXd2rDq5e3x8vdhaKK\nal5dss9qXFKwF64aJ7KL9FbX20O0n0dt305U1j22t7CC3m19mvV8745MxAnYU1DOq3+ls6+w4qzb\n2FN5diZBffrVLXtFx2IoPo6htARXb+t9XnXVKMyVlahqDbE33Wavpp7RicwsIi65pG7ZPyaWyuPF\nVJWU4O5j2Y/MNb/j5OxMWJ/e8Hb94yonD66nHGRVFYozM23W9rM5fDCbrkN61y2HJURTWlhMeXEp\nnn4NP8CiOsTRJiaM7as20nlQD7av+RtnVxfCEuqH8LL3pXN/r+vQ+XrR9/LBjLnrOjRWqhe2VpSZ\nRfSAvnXLreJi0B8vprKkBK2VfQYwc/z1KIpCeM/u9L//LrS+lnF7Fy8n9tIBuGi1Nmv7mUR56Vh3\n9HjdcnppBQHurni7OFNqNJ1x284BPmSWNn786xTgzcKso+etrU0V7ePB2sNFdcupJ8oJ0Lri4+pM\nieHMfRPCGrskLR6uGsqqGv6DllWb8HSz/ucXphxhYcoRIgM8uLJLWwrLqy1iPN2cmXF1F95dk0ZZ\nteP++XUuGkqrGw5NlVWb0Lk2/aV9aOleduWXoyhwW5dQvr6iM4O/2kTpBfTmNldV4qzzrFv+575Z\nr4dGkpYh85dgqqrkyIqlaIOsf8uyN2NlFa6e9f1w9ayt1hn1lRZJi1FfyZZPP2fk9LcsnsfVw4PW\nHTuwY/bX9Ljnbk5kZZH1x1q0vr627cAZVOkr0XrWVx+1XrX3KysqLZIWJ42GvuOG8vFjb2KsNuDs\n4sK97z6Fm0ftXJCEHh14ddHHBLQN4vDBbD56+HU0zhrG3HWd/Tp0krGyEjddfb/+2WcGfaVF0qL1\n8eH6WR/SKi6WytIS1kx7jyUvvMaV77zZ8Dmrqkhbs5axb71s+w40QuvsRPkpyUm5sfZ44uGsOWPS\nEu3twS3xYTy1yfqXuskJ4TihsCTnmNX19uDhrKnrDzTsmyQtyJyWZrBL0qI3mC0SFE83Z8rPkmxk\nFek5mF/Oy2M7cPecbXWPuzk7MfPG7mzPLebDtek2afO5qjCa8XJt+K3T01VDRTPekFvySuvuf7Dl\nEFclBtOzrQ8rM4vOsJVtHVm9nL3vTQPAr0MnNO5azPr66o/p5H2Nh8cZn8fZXUvYZeNYc91YLvns\nG9x8/WzXaCvSlq9g3fQZAAR36oSL1h1DRX0//rnv4mH5bXvbrC+IHTEMrzYhVp974LNPs+Htd5l7\n9bV4tQkhdthQirOyzn8nGrF+4WpmP/9/AMR374C7h5aq8vpv3//c1+os+7Zn/XZ+mDaTJ756k4j2\nsWTtPsi7977II5+9TERiDEFh9X0OS4ji8vtuYMnM+XZJWvYvW8mqN2vLWm06d8RFq8VQUd+vf/aZ\nq5V95uqhpXViAgA6f38uffRBPhtzDdUVFQ0Sn7Tf/8TN24vQrp1t2ZUGhrVtxaOdYwFIKSqh0lSD\n7pQhR93JKpbe1Pg8vbY6d97q1Z73dmeQcrzUYv2VkSGMDA3i/nUpVie92srIiFY82T0OgB2FJehN\nZnQu9cdHT5ez9+1/iSpnDzWZXZKWjMIKNE4KkQEeZJ0cykkM9rKYhGuNxkkhwr/+A9FV48RnE7tz\ntLSap37ZbbM2n6uMYn1t33y1ZJ0cIkpq5WkxCbc5VFSHJ+JtBg+nzeDhdcs733iRsow0ggcMBqAs\nIw1XP/9Gh4ZOpao1mKurqC4o3i5UAAAgAElEQVQssHvSEjt8GLHDh9Utr3npZY6npxM9+FIAjqel\no/X3szo0dGTbNioKCtj38y8AVJ0oYfXzL9LphuvpPPF6vIKDGf7m6w2eu1Wi5URCW+l7+WD6Xj64\nbvnjR9/k0IEMeo4eAMCh/Rl4B/pZVFkADu1LJyG5A1Ed4wGI7pRAdKd27F2/nYjEGIt4RVEaDIXZ\nUrsRQ2k3Ymjd8pLnXqUgLZ34oYMAKDyYgYe/X6NDQw3880Y6re37Fi8nadSw2n7ZyYrDBaw4XFC3\n/Gy3eGK8daw5OVk21kdHUZWh0SpLa60bM/p0YHZqDstzCyzWjw5rzQ1xoTywLoWCKoNtOtGIpdkF\nLM2ub9PLvROI89WxMqe2b3G+OooqDVJlEc1ml4m4lUYzy/Ye5ZEh8WhdNHQP92NYYmt+2mE5KfO6\n7qEE6GpPYYxt5cm9A2JYl1FbaXB2Uvjw+q5UGc08Mn+nvY6dZ1RpqmFpWiGP9o5E6+xEcog3w6ID\n+Wmf5TiyArhpnHB2Uuruu5ycONXGy43kEG9cnBTcNE7c1S0Mf3cXNuc59nTu07UZOpLcZb9Rnp2J\nsayMjDlf0XbYKKuxhds2U5qWimo2Y6qo4MAn7+Pi6YUu3PqZU/YUN2IEqb8tpjgri+qyMnZ89Q1x\nI0dajR319nSu/PILrpj5OVfM/ByPgAD6PfYISeOvAOBEVjYGvR6z0Uja8hUc3ryFDtddY8/uNNB3\n3BDWzlvO4bRsKkrKWPTR9/QbP9RqbFTHeFK37CF7X23FMntvGqlbd9fNaUn5YzMlhbVnsx1Jz2Hh\nh3PoOqSPfTpymsRRw9izaAlFmVlUlZbx95ffkHTZCKuxeXv2cTw7B7WmhsqSEn6f8QGh3TrjdsqQ\nYFl+ATnbdpA42vpz2MuynHwuC29NhKcWTxcNN8eFsbSRIZ1Ad1fe6duBBZl5LMy2PMYMa9uKOxIj\neHTDbvL0lsPq9rY4K59xUcFEeXvg5eLMrUnh/JrV+HCVi5OC68lj4qn3ofb46eqk4Kwo9fdb8sRT\nxQaTcFvy63GO7HbK8zOL9vDW+I5sfXIIxXojzyzcw8H8cnpE+PHlzT1o//JyAJIj/HlsWAI6Vw3H\nKwz8tvsoM1alAtA93I+h7VpTaTCT8nT9t+ZJX21mc7bjThN+ek0q04a1Y/udl1BcZeTpNamkHtfT\ns40Ps8d1IvGjPwHo1daXH67uUrfdwfsHsCH3BNfN34Gni4ZXB8cT4aOl2lTD3sJybvllFyeqLqxv\nJK2SexF19fVsfvwhzIZqWl8ykNgb60+l/evOm4iecBNtBg/HVF7O/g/foaqwACc3V3ziE+n+yjQ0\nrm4O7EGt0F496Xj9BBY/9Ajm6moiBw6g262T6tbPv3kSnW+cSOzwYRbVF0XjhKuXV91QUu6mzez8\n+htM1dUExMUy4q2pDp3T0mlAMqNvv5o3b34CQ1U1ySP6Mf7BG+vWP3XZXYy56zr6Xj6Ydj07ccUD\nE/ngwVcpLTyBl78PY+66jg79aq9Bs3fjDj5/cgZV+kp8Avzoc/mlDpnPAhDZpyfJN17H/Pserb1O\ny6X96X37LXXrv7rhVnrecgPtRgyl5HAe6z+eib74BK46DyJ6dGfUS880eL59S1YQ0iEJ39A29u5K\nA5sKTjAnLZd3L+mIm1PtdVpmHThUt372oK58czCXFYcLGBPemrY6LZMSwpmUEF4XM3LxBgBubxeB\nj6sznwyoP86syM1neopjhtE3HC3mq/25fHRpR9w0TqzJLeST3fWncs8d2Y0v9uXUVWfmjU6mja52\nPtX7gzoCcPmiTeTpq+nayodPBtdfH2jdNf3Ymn+Cu9fssmOPhKMpahPKFW4hcWrIbe/asDmOUdPq\nzPMxWrKkdhfnRY9DPS6sZO586d/6Ijmd04odx8984b6Wamv+xdkvgMrKC6CcbQNbJgzYqqpqsiPb\n4O4bpYb2f/68P2/6r5Md3jdbkt8eEkIIIUSLcHF+DRdCCCEudHL2UJNJ0iKEEEI4wv/AxNnzTYaH\nhBBCCNEiSKVFCCGEsDcFuSJuM0ilRQghhBAtglRahBBCCEeQibhNJkmLEEIIYXeKJC3NIMNDQggh\nhGgRpNIihBBC2JuClA2aQV4yIYQQQrQIUmkRQgghHEHmtDSZJC1CCCGEI0jO0mQyPCSEEEKIFkEq\nLUIIIYSdqYAqvz3UZFJpEUIIIUSLIJUWIYQQwt4UZCJuM0ilRQghhBAtglRahBBCCEeQQkuTSdIi\nhBBCOIJMxG0yGR4SQgghRIsglRYhhBDC7uRXnpujaUlLtRlN6nEbNcVx1Iv4H0df7eXoJtjEqwNK\nHd0Em1iQ5eboJtiM3nxxvs/KylVHN8FmykprHN0EIRqQSosQQghhbwoyEbcZJGkRQgghHEEm4jaZ\nTMQVQgghRIsgSYsQQgjhCE7K+b+dhaIoIxVFOaAoSpqiKE9YWT9JUZQCRVF2nLzdbpO+N5MMDwkh\nhBD/AxRF0QAfAMOAXGCzoigLVVXde1roXFVV77d7A8+BJC1CCCGEvSmg2n9KS08gTVXVDABFUb4H\nxgGnJy0XLBkeEkIIIRzB/sNDbYGcU5ZzTz52uqsURUlRFGWeoihh56u754MkLUIIIcTFI1BRlC2n\n3O48ZZ21rOb0Cw0tAiJVVe0ErARm26qhzSHDQ0IIIYQj2ObCpoWqqiY3si4XOLVyEgocOTVAVdWi\nUxY/A948v837d6TSIoQQQvxv2AzEKYoSpSiKKzABWHhqgKIoIacsXg7ss2P7zkoqLUIIIYS9Ked2\nivL5pKqqSVGU+4FlgAaYparqHkVRXgK2qKq6EHhQUZTLARNwHJhk10aehSQtQgghxP8IVVUXA4tP\ne+y5U+4/CTxp73adK0lahBBCCEeQCRpNJkmLEEII4Qi2mYh7UZM8TwghhBAtglRahBBCCHtTkF95\nbgaptAghhBCiRZBKixBCCOEAqsxpaTJJWoQQQghHkLGOJpOXTAghhBAtglRahBBCCHuTibjNYrek\nxUfnyhv39KZfpzYUl1Xx1nc7WLQuy2ps+yh/nrmlO+2j/amsMvHRgt18ueRAg5ieiUHMeXE4H8zf\nxYy5O+3Qg8b5aF2YekUHBsQGclxvZOqKA/ySkmcRd2ufSCb3jsDPwxW9wcSi3Xm8tuwA5praH9l8\ndEgcwxNbExuo4//+SOedNWn27opV10S34YbYUNw0TvyRV8SMlDSMNaf/MCgk+XlxW7twEnw8qVFh\ne1EJ7+1Kp6jaCMCEmLaMDAsi2MONkmoTC7Ly+D79sL27A8C+Pdm8+OQsUranc7yojKP6X85pu7nf\nrOahO99l+gf3MXHycAA+fX8hn3/4K8eLStHp3Bl3dT+ee20yzs4aW3bhnK2a/RPLP/8RQ3U1XYf1\n4/rn78fF1dVq7NYla/n1g68pPlqIX3Arxk2ZRJehfe3c4salzP2Rnd9+j6naQNTA/vR/bAoaK30p\nyzvKnGtuwFnrXvdYl4nX023STQCkr/qd3T/Oo/BgOkGJ7Rj7/tt264M1ExPaMCkpDDeNE6tyCnlt\ns/X3GEDP1r48kRxDsM6N3UVlPL8hlTx9NQDzRncjRFffZ1eNE+vyjjPlj7126cepfNyceX1QAv1C\n/SiuMjLt70wWpeVbjf1PryiuTaz9yZsf9x9l6sYMAJKDfZh5WccGsToXDfct28OyzELbdkBckOyW\ntLx4e0+Mphp63TGPxEg/Zj55KfuzizmYW9Igzs/LjS+eGswrs7ewdOMhXJydCA7waNhojcKzk5PZ\nnlpgr+af0ctjkjCaVbq/uZqkYG++uKk7e4+WcTC/vEHcyv35zNueS2mVCR+tCx9P6Mrk3hF8vj4L\ngKwiPa8v28/EHuEO6IV1PVr5MjEulCnrd1NYVc2rPZK4NSGcT/ZlW8R6uTizKOsozxacwKyqTOkY\nwxNd4/nPxj1A7XWUXtueSnppBW08tEzv0578ympWH7H/wcfFRcPlV/Zj0h2jmXTda+e0zYnicv5v\n2jwSkhrun+Gje3DdjYPx8fWk+HgZt098k88//JW7Hxxni6Y3yd6/trDs8x+YMusNfIIC+OTBl/j1\n/W8Y/8itFrEnjhXyxeNTufv952nfP5ndazfx2cOv8cqK2XgH+Dqg9Q3l/L2Znd98z2XvTkMXGMjy\np55jy8wv6XXPnY1uM2nJIpysJI9u3l50uOZqThw6xJGt223Z7LPqE+LL5KQw7ly9iwK9gRkDErmn\nYwTv7cyyiPV1c2Za/0Re+vsgaw8XcW+nSN7o145bltd+cbt68bYG8YsuT2blIcd8uL/QLw6juYbe\ns9eTGOjJ56M6sr+onIPF+gZxExJDGBYVyNgft6ACsy/rRE5pJXP25rHlaAmdZ/5VF9urjQ+fjOzA\n2pzjdu6NLShycblmsMucFq2bhhG9wpgxdyf6ahNbDxSwcksuVwyIsoi9dUwia3ceYeFfWRhMNVRU\nmUg/XNog5rYxSfy1M4+MI6UW29ub1kXDqKRgpq9KRW8ws+VQMSv353Nl5zYWsYeK9ZRWmYDaymCN\nqhLpX5+Qzd9xmN8PFlJhMNmr+Wc1MiyI37KPkVWmp9xoZnbqIUaGtbYa+3d+Mb/nFaE3mak217Ag\n8wgd/b3q1s9JO0xqSQVmFXIqKvnr6HE6+nvbqysNxMaHcsOkYRYJyJm89txX3HbPGPwDGrY5MjoE\nH19PAFRVxclJITPdstLmCBt+WUnfK0fQJi4SnY8Xo+++gY0LVliNLT5aiNZbR4cBPVAUhY4De+Gm\ndacw54jVeHtLXbKMhDGj8I+Ows3bi26TbiJ1ybJmPVdoj+7EDBmELjDgPLey6cZGtebnjKNklOgp\nM5r4bHcOY6Otv8cGhwaSUaJnZU4hhhqVj3dlE++rI9JbaxHbPcgHfzdXhyQtWmcnRkQH8vbmLPSm\nGrYeLWVVdhFXxFv268qE1szcmcvRCgPHKgzMTMnlqoRgq887Pj6YpRmFVJpqbN0F+3BSzv/tImeX\npCUqxJuaGpWsvLK6x/ZnFxMXZvntrWtcICXlBn58eQSbPruaTx8fRMgplZY2gTquuTSG/5u3yx5N\nP6voQB01qkpmUf23h31Hy4gP8rIaP65TCLufHsbOp4aSGOzNt1ty7NXUZony0pFeWlG3nF5aQYC7\nK94uZy/SdQ7wIbNU3+j6TgHeZJY1vv5Csm1zKju2pXHLHSOtrv9p7h/Etp5AUthN7NmVxc23jbBz\nC63LS8smtF103XJou2hKi4opP2GZ8Ed0iCMkOpydqzdQYzazY+V6nF1daBsfbRHrCMWZWQTExtQt\nB8TGUHm8mKqSkka3+e7qCXw7/lp+f+1Nqk40HudIMT4epBbXv8dST5QTqHXFx9XyPRbj60HqifrY\nKnMNueVVxPh4WMSOiQpiZU4hVWb7f8BH+XhQo6pklVTWPbavqJw4P51FbJyfjv1F5Q3iYv0s++Pu\n7MTI6EAWpB61TaNFi2CX4SEPd2fK9MYGj5XpjejcXSxig/09aB/lz82vrOLAoWKeuLEb7z7Uj2uf\nWw7Ac5OTeftkxeZC4OGqqaue/KO0yojOzfp8hl9S8vglJY9Ifw+u6tqWwvJqezSz2bTOTpQb6/tX\nbjQD4OGsodTY+D6I9vbglvgwntq0z+r6yQnhOKGwJOfY+W2wDZjNZp6Y8jGvzbgTJyfref6V1w3k\nyusGkpF2hB+/XUOrIMcPpwBU66vQetZ/UPxzv7pCj6dvw4qRk0ZDr3FD+OI/b2I0GNC4uHDH20/h\n5uHOhcBYWYmrrr4vrif7YtRX4u7j0yDW3ceH8Z9/REBsLFWlJayb8R6rX3qV0TOm2rXN50LrrKl7\nXwGUG06+x1w0lJxWdfVw1lBc1fBYWm404XHaEJi7xomh4YEOmcsCtW0vM5gbPFZuMKFztTwu1sbW\n97PMYMbTSsI2MiqQ4iojfx+5MJPPZrn4CyPnnV2SFn2VCU9twwTFU+tCxWlvPoAqg5nlm3LYlV4E\nwHs/prB11rV4al3omRSEp9aF3zZYzqdwFL3BjJdbw5fRy82ZimpzI1vUyjquJzW/nFfGtueuOY4d\nUz/VsLateLRzLAApRSVUmmrQnVJV0Z08OOpNjfevrc6dt3q1573dGaQct/xGf2VkCCNDg7h/XUqj\nkw3Pt/nf/85/HvgIgF59k5jzy/PnvO0Xny4hqUMkyb3anTU2OrYNCUlhPDHlY2Z9b/9fd9+0aDXf\nvfAeADHdO+Dm4U5VeX01q7Ki9r6bzvKb7L7121gwbSYPz55KWFIsh/Yc5KP7XuD+T14hLDHGIt7W\nDi5fyZ9vzQAgpFMnXLRaDBX1fTFU1FYcXDwsh0ZcPLS0apcAgIe/P5c8/CDfjLsaQ0VFg8THEUZF\ntuKZHnEAbC8oodJkRudS/2H+z3290fI9pj8ttjbe2eL9ODgsgNJqE1vzHfMBrzea8TytnZ4uzlQY\nrPTJ2DBJ8XTRUG5liHx8QjA/p174X3KEbdklacnMK0WjUYgM9iLraO0QUWKEHwdzTljE7j9UjEr9\nB5l68q6iQN8OwXSI9mfjp1cB4OXhgrlGJT7cl7vf+sP2HbEio7ACjZNCpL8HWcdrD6iJId6k5ped\nZUtwdlII97f88HCkFYcLWHG4foLzs93iifHWsebkZNlYHx1FVYZGqyyttW7M6NOB2ak5LM+1nCg9\nOqw1N8SF8sC6FAqqDLbphBVXTRjEVRMGNWvbv9aksOGv3axathWonZC7e2cGu1Myef3tuyziTaYa\nsjIdU8LuOXYwPccOrlue+Z83yD2QQfdRAwDI3Z+Bd4CfRZXln3WxyR2J6BAPQGTHBKI6tWP/hu0O\nSVrihg8lbvjQuuVVL7xCUVo6MUMGAVCUlo7W38+iymLVP99oVfskyWeyJKuAJVn1743X+iYQ76tj\nxcm5J/F+OgorDRZVFoD0E3rGRgfVLbtrnAj1dCe9pOEw69io1vyaaf1MHXvILNGjcVKI8NGSfXKI\nqF2AjoOnDIP942BxBYkBOlJOHjMTAzxJO22ybojOjV5tfHl2bartG28vCqj/A3NQzje7zGmprDaz\n/O8cplzXGa2bhu4JrRjaI5Sf12ZaxM5fk87wHmEkRvjhrFG4/+qObN6XT5neyNtzdzL0oYWM+c9v\njPnPb6zaksvcVWk8/uEGe3TDqkqjmaX7jvLIkDi0LhqSw30Z1i6In3ZaTl6c0D2UAF3t6ZlxrTy5\nd0A0609WlKA2iXFzdsJJUU65b7euWLUsJ5/LwlsT4anF00XDzXFhLG1kSCfQ3ZV3+nZgQWYeC7Mt\nP7SHtW3FHYkRPLphd90pmo6iqipVVQYMhtpqX1WVgepqy8ofwLufPsif2z5g1cZ3WLXxHTp3i+HR\npybw5As3AvDtF8spyK9NwA/sO8R70+bRf1An+3TkLHpfPpT185eRl5ZNRUkZSz6ZQ+/xw6zGRnSM\nJ23rbnL2pQOQszeNtK27aZtgOWHeEeJHDufAb4spzsyiurSM7bO/IX6U9blD+Xv2ceLQIdSaGqpK\nSlj/zvuEdO2Cq2fthOkasxlTtYEasxlVram9b3LMkPOvmflcERNMtLcHXi7O3N4+nEUZ1t9ja3KL\niPHRMSQsAFcnhTs7hnPwRAVZpfVzR4K0riS39mVRpuOqEpWmGpZnFjIlORKtsxPdgr0ZGhlotVKy\nIPUYkzuF0lrnSpCHK7d1DmX+gYbHjyviW7PtaAmHSqvs1QVxgbLbKc/Pfb6JN+/tw6bPruFEeTXP\nfraJg7klJLdrxaynBtPp5rkAbNhzjGlzdvD5k5eiddWw5UABD79Xe8pbRZWJilPmj1QZzFRWmSip\nsN83dmueWbSXt8Z3ZNsTgynWG3lm0R4O5pfTI8KP2Tclk/RK7dka3cP9eGxoPDpXDUUVBhbvOcr0\nVQfrnueNcR24plto3fIDg2J59KcU5m13zLVMADYVnGBOWi7vXtIRN6fa67TMOnCobv3sQV355mAu\nKw4XMCa8NW11WiYlhDMpof6snJGLa5PK29tF4OPqzCcDutStW5Gbz/SUdPt16KScQ/n0TKw/VTbS\n/xpCw4PYsv8zAK4f9yK9L0niof9eU3dm0D9cXF3w8tLi7VM7zLBpwz5ef/EbKsqrCAj0YeyVfXn8\nuYn268wZtO+fzLDbrubtyY9jrDLQddgljLn/xrr1L429k5F3TqDn2MHE9+jEmPtu5LMpr1BadAJP\nfx9G3jmBpEu6O7AH9cJ696TzDRP49cFHMVVXEzWoP8m3Tapb/+ONk+ly80Tihg+l9MgRNn86k8ri\nE7joPAhN7s6QF56piz24bAV/vFY/v2XWkJHEjxrBoKcft2OPaq3PK2b2vlw+HdIRN2cnVh0q5KNd\n9UPg80Z3Y+beHJZkFVBcbeQ/f+7j8eQYXumTwO6iMp5Yt7/B842JCiKlsJTccsd+wD//50HeGJTA\n37f05USVkef+PMjBYn3dtVf+OZV5zt48wry1/HZNMgA/7D/KnL0Nz767Ir41n++8sE9aaBZHfytt\ngRS1CeVSN/9oNXToSzZsjmOYEhx/2qOtRPSwfhZTS/fjsIvhOg2WFmS5OboJNrP9uPUL2rV0m7Iv\n3guLl5VeJKcWnyb9nkFbVVVNdmQb3ELi1JDb3jvvz5v96miH982W5LeHhBBCCNEiXLxfEYQQQogL\nlYKUDZpBXjIhhBBCtAhSaRFCCCHsTn57qDkkaRFCCCEcQc4eajIZHhJCCCFEiyCVFiGEEMLeFKTS\n0gxSaRFCCCFEiyCVFiGEEMIBVJmI22SStAghhBCOIGMdTSYvmRBCCCFaBKm0CCGEEPamINdpaQap\ntAghhBCiRZBKixBCCGF3ipzy3AxSaRFCCCFEiyCVFiGEEMIRpNLSZJK0CCGEEPamnLyJJpHhISGE\nEEK0CFJpEUIIIexMBVQZHmoyqbQIIYQQokWQSosQQgjhCHJxuSaTpEUIIYSwNwU5e6gZmpa0KID7\nxZfnKK09HN0Em4n1NTm6CTbx8T6to5tgEwNDDI5ugs0UVV+co9G7tC6OboLNVFXJh6q4sFx8GYgQ\nQgjREkhO2GQX51cfIYQQQlx0pNIihBBC2JkCOEnZoMkkaRFCCCEcQE4eajrJ84QQQgjRIkilRQgh\nhLA3RSotzSGVFiGEEEK0CFJpEUIIIexOQZFSS5NJpUUIIYQQLYJUWoQQQgg7U5A5Lc0hSYsQQgjh\nAJK0NJ0MDwkhhBCiRZBKixBCCGFvCihSNmgyecmEEEII0SJIpUUIIYRwAJnT0nSStAghhBB2pgBO\nkrQ0mQwPCSGEEP8jFEUZqSjKAUVR0hRFecLKejdFUeaeXP+3oiiR9m9l4yRpEUIIIRxAUc7/7cx/\nT9EAHwCjgCTgekVRkk4Luw0oVlU1FngbePP897z5JGkRQggh/jf0BNJUVc1QVdUAfA+MOy1mHDD7\n5P15wBDlAvq9AUlahBBCCAewUaUlUFGULafc7jzlT7YFck5Zzj35GNZiVFU1ASVAgM1ehCaSibhC\nCCGEvSnY6gcTC1VVTW78r1pQmxHjMHZLWnx0rrxxW0/6dQymuKyat35MYdGGbIu4B8d34N6xSRhM\n5rrHLnt6KTkFFSTHt2LWYwMaxOvcXbj3vb9YtiXX5n1ojI+bM1MHJ9A/3I/jlUambsxkYWq+RVyf\ntr482COC9q08Ka020e+rvxusf6RXJMOjA4j10/H+lmze2WT5+jjCnh9+ZNecOZiqDUQO6E+fRx5G\n4+p6xm22fzmbHV98yYjp02iT3B2ABbdMovzYsboYs8FAaM9eDH3jNZu2vzEbvp3PX7N/wFRVTeKQ\n/ox58gGcG+mXobKK5e98yp4Va6kxmWgdH82tn88AwGQwsGTaR+xfsw6zyUx45yTGPPUQ3kGB9uxO\nncz9WXz44kxSU9IpLS5lzZFfzxiftjuDqY++y6GDuYTHhfLf6Q8R2yG6QYzRYOS2IQ9Qqa/kx62z\nG3km21v3zXz+/PIHjNXVtB/Sn8ufsr7PdixexcJX3q1bVlUVY1U193z7Pm2T4snYvIM1n37Lkf0H\n0Xp58djir+3ZDQvXxbThxvhQ3DRO/H6kiLd2pGGssfyccFYUXuyRQDtfT0J07tz35y62F5bUrXdx\nUpjSKZqBIQE4OymkFJUxdUcahVUGe3YHAB9XZ17pH0/fNn6cqDYyY0smv2UUWI19NDmKq+ODAZif\nepRpWzIBiPTW8liPKLoGeePkpLC7oIxXN6aTVVppt35cZHKBsFOWQ4EjjcTkKoriDPgAx89nIxRF\n0QGx1CZD6aqqVpzrtnYbHnrx5u4YzTX0uv9nHv54Ay/f0p24tt5WY3/7+xCd7pxfd8spqO3PltSC\nBo/fMeNPyiuNrE3Js1c3rHp5YBzGmhqSZ61nyop9vDIwjjh/D4s4vdHMD/vyeH19htXnyS6p5I11\nmazJKrJ1k8/Z4U2bSPluDiNmTOeauXMoy8tj+xdfnnGb0sOHyfr9D7QBDSuK42d/yU1Ll3DT0iXc\nuGQxuqDWRA4aaMPWNy5t/Rb++nIut3z0JlN+/Zriw3ms+bjxD65Fr75DZWkZ98//nMfXzGfko3fX\nrds452dyU/Zxz/ef8OjSObh7ebJ46gf26IZVGmdnBo3tz3+mP3jWWKPByDOTX2bYVZeycN/3jLhm\nCM9Mfhmjwdggbu5HP+EX6GOrJp+Tg+u3sPaLuUz+5E0e++1rjufmseoj6/usy+ghPLd+Yd1t7JMP\n4BcaQpvEOABcte50GzeCkVPusGcXrOoV5MtN8aE8+Ndurlq2mTYe7tyeGN5o/M6iUl7cmmo1Ebk2\npg0d/L25afV2Ll+yiXKjiUc6R1t5Ftt7tm8sRnMN/eds4D9/7Of5vnHE+loeF69NCGFIRABX/LyV\ncT9vZWCYP9clhADg5erMmkPHGT1/C/2/28iuwjI+GNre3l2xGcXp/N/OYjMQpyhKlKIorsAEYOFp\nMQuBW07evxpYrarqeS6ubYwAACAASURBVKm0KIrioSjKh9QmQduA7UCRoigfKoqiPZfnsEvSonXV\nMKJHKDPm70JfbWJraiErtx/hiksi/9XzXtkvkqWbc6g0mM8ebCNaZydGxgQy/e8s9MYatuSVsjKz\niCsTWlvE7swvY8GBfA6VWP+WMH//MX4/dJxyo+P6c7q0pcuIHz0Kv6go3Ly86HzzTaQtXXrGbTa+\n8x7Jd9+JxqXxQt6xnTupOlFMxMABjcbY0o5fV9B13EiCYiLRensx8PaJ7Ph1udXYwqwcDqzdyNin\np6Dz88VJo6FNYnzd+hOHjxLTpzueAX64uLnSYfggCjIcVyULjw3lshuGE5XQ+AffP3as34XZbObq\nO8bh6ubCVbdfjqrC9nUpdTF5h46yYv4abnjgGls2+6y2L1pB9ytG0vrkPrv0jolsX2R9n1nbtuuY\noXXl+NAO7eg6Zih+bUNs2eRzMio8iEXZx8gs01NmNPPFgUOMDrc8fgCYVJUf0o+QUlRKjZXPkRAP\nd/4+VkxxtRFDjcrK3AKivCwTBVvTOjsxLCKQ97ZlozfVsO1YKWsOFXF5bJBF7BWxQXyxO5djegP5\negNf7j7M+Lja/u8q/H/27jssiqtt4PBv2KUuHRRQQDpijT22mKjYW3xjEmN6YpIvedN774npPW+K\niaapMcXE3mJMt3djoQiKKALSF3ZZmO+PxQXcBUHZXUie+7r2cmbnzPEcZsuzz5w5U8J3KccpMpow\nqSqf7TlKjL8X/u4ysuFs1IxR+S+wCtgHLFRVda+iKM8oijKpptgnQJCiKKnAPYDVZdHn4H1gPOag\nKLbmcS0wEfhfUypwSNASHeZDdbVKxvESy3P7DxcQ39H2L7cRvTqw9f2LWfHCWK4YHmezjIebhjH9\nIvj+9wx7NLnJYvy9qFZVDhXWBiL78kuJD9Q5sVUtpyAjg4C4WMt6YGwc5ScLqCgqsln+0M/rcXHV\nEnH++Y3Wm7pyFVHDhuHq2aTgusXlpmcSmlD7CzQkPoay/AL0hcVWZbP27Mc/tD3rP/ycl4ZfwvuX\n3sTfP/1m2d5ryhiO7NxLcW4+xvIKdq1YR9ygfg7px7nKOHiYmKToeufWY7pEkXGgNuh6+7EPufHh\nq3H3aPyUoL2dSMskrM4xC02IobSBY1ZXQXYOGdt2c96EkfZu4lmJ9tWRWlSbHU8tKiPIww1ft+Z/\nMS/NzKFHkC/BHm64a1wYFdGODTkFLdncJony9aRaVeudxtl/sow4f+vPxbgAHQdOltUpV0pcgO1A\nq2+oH7l6A4UGU8s32sEUHH/JM4CqqstVVU1QVTVWVdXna557QlXVxTXLFaqqTlNVNU5V1f6qqto+\nNXB2pgI3qKq6QFXVjJrHAuA64D9NqcAh4aqXuysl+vrp5pLySnQerlZll288zIKfU8krMnBebCDv\n3TGEEr2RJRsO1ys3pm8EBaUGNu63HjviSF6uGkoM9TMjJQYT3m4aJ7WoZZnKK3DTeVvW3bzNHzqV\n+nI8/OoHnZX6crZ+PJvRr73SeJ0VFWT88isjXni+5RvcREZ9Oe7etR+gHjXLBr0eL//6py2LT+Rx\nIi2DpBFDuHfVfLJ27eOrOx+jXUwn2kVHEhTZEb/Q9rw+ZjqKxoWQuGjGPXibQ/tztsrLytGd9ktc\n5+OFvtT8ZfPbij+pMlUxdOwgdvy5y1YVDmMob/oxq2vH0jV06tWNwFaQVbHFS+NCaWXtl/CpTKuX\nVkOxsXlfzodLy8nRG1g8tj+mapX04jJe27mnRdvbFF6uGkpOy4CXGk3oXK0/F720GkqMdftvQmcj\nSxvi5cbjA+OYtaklv0OdqIlBxj+MHrA1niMbKG1KBQ4JWvSGSrw96wco3h6ulFVUWpVNza791bQt\nNZ+5qw8ypl+EVdAydWgUi5ycZQHzOJXTAxRvNy2lTjxldS7S1qzhz9fMA0xDuvdA6+lBZVntryBj\nzbKrl3WGZPucOcSNSsYnrPEvh8xff8Pd14fQ83q2YMsbt2v5Tyx5wTwws1Ovbrh5eWIo1Vu2G8rM\ny+5e1r/wXN3dcNFqueCGGWi0GqL69CC6b0/S/tpKu+hIlr34NiaDkQfWfYubpwd/fLaQr25/lJmf\nv+OQvq35/mdef8A8hqbHgK689NXTTd7XU+eJvs7fAUBfosfL25NyfQUfPjeHWV881ZLNbbK6g2k7\n9eqGu6en5ThB48esXj1L13LBDdPt19BmGhXejgd6mTPIO/OK0FdV1/uSPvXFrjc1/zPk/vNicdO4\nMHrpBiqqqpgRH87rg7oy85edLdP4JrL1uahz01Bm49S33lSFd73+aymrrB+sBXi4Mnt0d+bvz2Z5\nA4N5RZvwDvC4oig3nBp8WzMo9yng7aZU4JCg5dCxEjQahagQbzJyzMFUUqQ/KUdtn2KoS1VVq2g0\nLNCLAZ3b89icLfZobrOkF+rRuChE+XmSUTNWJSlYR8rJJg+GblVik5OJTU62rP/yzLOcTEsjevhF\nAJxMS8MzMMAqywJwbNs2ynJz2f/jjwBUFBbx81NP0/2K6fS4ovZLI3XlKmJHjbLX5X429Rg3gh7j\nRljWv33kRXJS0uk2yjwQ+PjBNHRBATZ/sYfENz6Q8XhKOiNuvQ4vP/O+/S+fws8ffE5ZQRG6APsP\nXk2eehHJUy86q32jEiJZ+OGimveZ+Xik78tgynUTOJqezfEjJ7jj4gcBMFWaKCvWM7Xnlby/9DVC\nI2yPu2gp540bwXl1jtnCh1/k+MF0utccs2MH0/Bu4JidkrnDfNqu28ihdm1rc6zOymV1Vu0X71N9\nE4j307HuaB4A8b468iuMzc6yAMT76fjw70xKar70v03P5qYunfBz01J0FvWdrYzicjSKQidfDzKL\nKwDoHOhNaqH152JqQRmdA3XsziupKacjtaA2OPV10zJ7dHd+PpLPhzuPWO3flv0LMy0DgAuAI4qi\nnEoBdsc8VMVTUZQlpwqqqjrRVgUOGdNSbqxi9ZYs7praHU83DX3igxnZuyM//JFhVXZk7474epmz\nMj1iArkmOYG1247WKzNlcBTbUvI4fKJJ2SS7KjdVsyotj3sGROGpdaFPqC/J0cF8fyDHqqwCuGsU\nXF3Mf3bzcu2rVuui4K5RcFFAo9QuO1Ps6NGkLF9OYUYGhpISdn7+JXFjxtgsO/r115gyZw6TZs9m\n0uzZeAYFMejee0iaMsVSpuxELsd2bCduzGhHdcGmnhNGsu3HlZxIz6S8uIRfP5nHeRNG2SzbqVd3\n/ELb8/uc+VSZqji8Yy8ZW3cRO9B8KXfHLonsXLaWipIyqipNbP5mCT7tghwSsNiiqirGCiOVNV9c\nxgojRoN1VhPgvEHd0bi48N0nizEaKln0qfkzo9fgHkR37sTCLXOZveYdZq95h/tevYOAdv7MXvMO\n7To4/nLu8yaMZOsPKzmRZj5m62fPo9dE28fslO1LVtN1xFDcdfWzMdXV1VQajFSbTObLoQ1GTJW2\n/0b2tuLwCSZ0CiHKxxMfVw3Xdo5g+WHrz49TXF0U3Go+GOouA+wrKGVMRHt0Wg0aRWFqdBi55QaH\nBixg/lxcm5nH7b3Nn4u92vsyPDKIxanWp/N/TD3BNd3Cae/lRjtPN67rFs6iFHP/da4aPh7dje05\nRby+JcOhfRB2kQd8D/wApNY8FgHfAbmnPWxSmnMlk3tQjBo+/uzm1PDTufHSjf0Z3C2UwlIDLy80\nz9Nyau6VHjd9B8Cb/zeQId1DcdO6cPxkOV/9lMJna1Lq1bV61jg+Xr6fb35tmXObVf3P7Vy3n7uW\nV0YkMiQigIKKSl76yzxPS78wP+ZO7E7Xj34H4PyOfiy4+Lx6+244Wsjli8yp21dHJHJJUmi97fet\n3c+3+xv+ADuT4T3O/Uq1PV8vZPf8BVQZDHS64AIG3Vs7T8uia66lx5Uz6mVnTvnmsssZfP/9lnla\nAHZ9+RVZGzYy7t0mZQIb1Mn73L9g/vzyW/74bCGVBiNdhg9hwiN3WOb8eG/aTIZed7klO3MiLYPF\nz75BTko6fmEhjLj1WpKGDwFAX1jMilfeI23jNqoqTbSPjWL0PTcT3q1zs9s0LOzc59M4fiSH6QNu\nqPdcSHh7Fmz6FIAHZzxJ9wFdufKOSwFI2Z3GK/e9TWbKETrFRXD/a3cQ3z3Wqt4df+7i+dtfO+t5\nWv7IOfeBvH988S2/zl2IyWCky4ghTH609pi9/Z+ZXHDD5ZbsTKXByEsjL2P6q08QO6BXvXrSt+zk\n05n313suqk8Pbpz9arPbtOzQuQ8mvzyuA1fG187T8nKdeVq+HNGLzw9kWbIz343qS5jOo97+U1dt\n5rjegK+blrt7xNC/vT9axYX0kjLe3n2IfQVn9wOvoKD6rPvU0DwtfUJ8+XBUd/p+8Yel7H19o/lP\nYs08LQdq52mZHBfCrAsS0VdW1ZvdbOL3WzhWZjjrtu2/YdjWRiZgcwivmM5q5+c+bvF6t8+4wOl9\nsyeHBS2t2bkGLa1ZSwQtrVFLBC2tUUsELa1VSwQtrVFLBC2t1bkELa2ZBC3OpShKHOYbNqrAflVV\nU86wi4Vc7C6EEEI42KlLnv9NFEXxA+YCk4BTEbGmZizLNaqqFp6pDrlhohBCCOEEzpinxcneBBKA\nYYBHzWMoEA+81ch+FpJpEUIIIYQjTAImq6r6e53n/lAUZSawpIF96pGgRQghhHA0BRRnXx7qeB6A\nrblOCmu2nZGcHhJCCCGEI/wOPK8oimVypZrlF4A/GtyrDsm0CCGEEE7QBsagtLS7gJXAYUVRdtc8\n1x0oBmxPAHYaCVqEEEIIJ/i3BS2qqu5TFCUBmA50xXwR1RzgK1VVmzTxjgQtQgghhHCImuBk7tnu\nL2NahBBCCAc7NU/Lv+mSZ0VRHlEU5ek662MURflRUZR36o5zaYwELUIIIYRwhOnANgBFUQKBbzHf\nj2gw8F5TKpDTQ0IIIYSjKTj9hrhOEA3srVkeC6SqqnqDoih9gOVNqUCCFiGEEMIJWvvpHDuoAFxr\nlkcAa2qWc4EmnR6SoEUIIYQQjrABeEpRlO+AacD4muejgKNNqUCCFiGEEMIJlH/fqNJ7gcXAf4DP\nVFX9teb5dsDbTalAghYhhBBC2J2qqgeAREVRXFVVrazz/HdNrUOCFiGEEMLBTl3y/C81TFGU3kA1\nsE1V1XVN3VGCFiGEEELYnaIoOsxXCQ0GcoBQoExRlF3AOFVVi89Ux7/vjJoQQgjhbAooitLij1bu\nOcAfiAOGAHrM41lOAq82pQIJWoQQQggn+LfNiIt5AO6DqqpmYD5Ddmpa/6eByU2pQIIWIYQQQjhC\ne2C/jecLAM+mVCBjWoQQQggnaAOZkZaWA4QBGac9fw2wtSkVSNAihBBCCEf4AxgN/FWz7q4oynbM\n0/uPaEoFzQpaNH5u+I3t2KwWtgUndxQ5uwl2kxrp7+wm2EWp6Z95ZtNd4+wW2M8fJzyc3QS7SI6s\ncHYT7OaAv+uZC7VBts5POMO/MNPyKNChZrkY+ARIA75QVTWnKRVIpkUIIYRwMIV/3w0TVVU9BByq\nWc4D/q+5dfwzf64KIYQQ4h9HMi1CCCGEoyn/vkxLS5BMixBCCCHaBMm0CCGEEA5mHtOiOrsZbY4E\nLUIIIYQTyOmh5pOgRQghhBB2pyiKCzAO81wtvYBgoBzIBH4DFqqqeqSxOmRMixBCCOEELnZ4tEaK\norgoinIz5sudPwU6Ab8Dc4AfgOPAdCBNUZSFiqLEN1SXZFqEEEIIYU8PYJ7x9hZglaqq1bYKKYoS\nDlyLOesSaquMBC1CCCGEg/3LBuK+p6rqrDMVUlU1C3hOUZS3GirTWrNJQgghhPgHUFW1pKXKS6ZF\nCCGEcIJ/69VDiqJchnkMS0LNUweB+aqqfn2mfSVoEUIIIRxM4d95qkNRlPnApZgDlVP3rkwE5iuK\nMlFV1Ssb21+CFiGEEELYnaIoNwCTgP+oqvrDadvGAwsVRbleVdVPG6rj3xjoCSGEEM5Vc++hln60\nctcDL58esACoqroMeKGmTIMkaBFCCCGEI3QDVjayfS3QvbEKJGgRQgghnEBR1BZ/tHLuwLFTK4qi\nBCqKUvdS6BxA01gFErQIIYQQDmaep+Vfd3roKBBZZ90fuK3OehTmKf0bJANxhRBCCOEI64B7FUUJ\nBVSsZ70dDvzcWAUStAghhBBO8C881fE2sA3zFUSn6OssxwNPNVaBBC1CCCGEsDtVVXcDro1sn36m\nOiRoEUIIIRxMQf033XvojBRFGaqq6m9nKufwoGVGYgeuSYrAXePCuqw8XticSmW17QPXP8SfB/vG\nEurlzp78Ep7acJBjegMA7TzdeLhvHL3a+VJRVc3svYf5LvW4I7ti4efpysuX9GRoQjAny4y8vHI/\ni3dkW5W7fkg01w6KIkDnht5YxdKd2bywfB9V1Sod/D1Yc8+F9crr3LU8t/RvZv+W7qCe2DYtpgNX\nxIXjrnHhl2P5vL7L9jHrEuDDDZ0jSfTzplqF7flFvL07jXxDJQCXx3ZkTER7Qr3cKTKYWJRxjAVp\nRx3dHYuD3y5k/4L5VBkNhA+9gN533oPGzc2qXHFGBpteeoHSbHNbAxIS6XXbHfhGRQFgLC1hx7vv\ncHzzRgBiJ02h6zXXOawftvz+xXf8MnchlQYD3UYMZcqjt6O10bfty37ih+dq702mqiqVFQb+O+9d\nOnZJIG3zDtZ9+BVH96fg6ePDgyu+cGQ3rBz6fiHpC+dRbTAQMmQYXW+3fcxKMjPY9crz6I+Zj5lf\nXCJJt96JT6coANK/mc/RNSspP3EcN18/IideTMy0M/7Is5sNX33HH59/janCQNLwoYx7+A6bxwug\nsqKCNW9+xN41v1BtMhGSEMu1H78OwFd3PMLh7bstZasqTQR3CueWrz92SD9sOfDNN+xfMI8qo5Hw\noRfQ5667bR6zuvZ8Npe9n81l2CuvEtqnLwCH1//MwW+/pTAtlcDOnRn+RoP31Gsz2sDA2XOmKMrP\nwGRVVYttbAsGrgFuAOKAxl8YODhoGRjqz7VdIrj5p93klht5bWgSt3TvxDs7M6zK+rtpeWVIEs9u\nSuHXo/nc2iOKWYM7c82anQA8NzCRlMIyHvh9H9F+Xnw0vDuZxeVsOVHkyC4B8OyUblRWVdP32TV0\n6eDLp9f1Z9+xYlJySuuVW/t3Dt9uOUJxhQk/T1f+d2Ufrh0cxSe/HSK7sIKuT9Revh4e4MkvDwxn\n5Z5jp/93DtWvnT8z4sO568895FUYeL5fF65PjOTDfdYDvH1ctSzJOM7juYVUqSp3dY/loV4J3L9h\nLwCKAi9sP0hacRkdvDx5bWBXTpQbWJed5+hucXzzJvbPn8ew197AMyiYP598jL2fzaHHzJutynoE\nBzHwyafxCgmF6mpSf1zEhueeZtTsOQDsfP9dqgwVjPvqawyFBfxy3z14hYQQPWaco7sFwME/t/DL\nnK+58aOX8W0fxBd3P83a/33BmDtvsCrba/wIeo0fYVnf+uNq1n38FR2S4gFw8/Cgz5TR9Ky4kJ8/\nWeCwPtiSu2UT6V9/Rf+X3sQjKJhtzzxK6hefknjDLVZlPYKC6PXYM3jWHLPMJYvY+eJTDPlgrrmA\nqtLj/kfwiYlFn53N5kfuxaNdezpcOMKqLntL/Wszf3y2gKv+9wo+7YJYeN9TrP/wc0befqPN8kuf\nf5NqUxW3fvsJnr4+HD+YZtk24+0X6pX97KZ7iep3nl3b35hjmzexb8E8Lnr1dTyDg/n9icfYM3cO\nPW+yfp+dUnr0KFm//oJHUFC95918fEi45BJKDh8mZ/s2ezddtJx+QF/Mg3ABUBQlGZiJeWxLGvAp\n8HlTKnPoOKAJ0SH8mHac9GI9JZUmZu89wsToEJtlh0cEk16kZ+2RPIzVKh/sziTeX0eUjyeeWhf6\nhfgze+8RTKpKSmEZPx3JY3KM7brsydNVw5huYby2+gB6YxVbMgpY+3cOU3uFW5U9fFJPcYUJMH+B\nV6sqUUE6m/X+p084mw7lk1VQbtf2n8mYiPYsy8who0RPaWUVnx08zJgI23/njScKWH8sH72pCkNV\nNYsOZdM90MeyfX7qUQ4WlVGlwpGycn4/fpLugb6O6ko9GatXEj12HH5R0bj5+JB05dVkrLI955Gb\ntw+60DAURUFFRXHRWLIuANl//UXiZdPRenigCw0jeuw4MlYsd1RXrGxbvIa+U8YQEheFp68Pw2+a\nwdbFq5u275I19JowEkUx/wSM6N6Z3hNGEhgeZs8mN8nRNSsJHz0en6hoXH18iL3iGrLW2D5mrt4+\neNU7Zi6U1TlmMZdegV98Ii4aLd4RkYQMHELh3t0267K3XUvXcN7kMbSPNR+voTfOYOdS28crL+MI\nB379iwmP3oUuwB8XjYYOSQk2yxZmH+fwjj30GDfSns1vVMaqVcSMHYdftPl91vWqht9np2x95y16\nzLwZF23939ShffoSeeFFVsFMW+Zih0crNBtYrCjK+4qiPK4oSjrwLVAIXKiqaldVVV9VVfVEUypz\naB9j/bw4WFhmWT9YUEqwpxt+btYJn5jTylZUVZNVWkGMnxcK5g/U0zNrsf62AwB7immno1pVOZRX\n29Z9x4qJD/GxWX7SeR3Y/fRodjw5mqQwX+ZttH1J+tTe4Xy3NcsubW6OaB8dacW1fUsrLiPIww1f\n1zMn6XoG+XGoWN/g9h5BvhwqaXi7PRVnZOAfG2dZ94+NxVBwEkNRw5m6HyaN5/sxo9j+7lt0vqLR\ne3pRlHGoxdraXDnpmYQlxljWwxJiKM0voKzQKjtbT0F2Doe27ab3ROd9yTWmNPMQvjGxlnXfmFiM\nBScxFjd8zNZMHcfqCcn8/f5bxF5u+5ipqsrJPbvw7hTd4m1uitz0TELja/sVmhBLWX4BehvH6+ie\n/fiHtmf9h5/zyoj/8MFlM9n3k+1hADuXrSHyvG4EdHRewFmUkYF/bG3f/GNjqSgoaPB9dmT9ely0\nrnQ4/3xHNVHYmaqqdwGXALHAk0AHYBbwkKqqG5pbn0NPD3lqNZRWVlnWTy17uWooMprqlfXSaiio\nGQtRW96EzlWD3lTF9twiZnaL5M3t6cT4eTEiItiqvCN4uWkpqaj//5ZUmPB2t/2nXbwjm8U7sokK\n0jG1T0fySoxWZfpFBRLs7c7y3c49NQTgqXWhtLL22FiOmVZDcaWpod2I8fXimoQIHtm0z+b26xIj\ncUFhxZGclm1wE5nKy3HV1Qa5rjrvmuf1uPv52dxnyuJlmMrLyVi9El1I7fQCof36s3/+V/R78BEM\nBSc5tGI5VQaDfTvQCKO+HHfv2r551Cwby/To/BvObG1buoaoXt0IdOKXXGNMFeVoa44TYFk26fW4\n+do+ZsnfL8dUUc7RNSvxbH/6lBBmqV/MgepqOo4a2/KNboLTj9epZaNej9dpx6v4RC4n0jLoPHwo\n96xcwJFdfzP/rscIjomkXXSnemV3LVvL0BuusH8HGtGc91lluZ5dn3zMsJdfdWgbnUVpG5PBtQhV\nVVcCKxVFiQSuBW4GnlQUZTEwB1ipqmqTRiXbNWgZ26kdj/YznxvfnltEuakKnbZ2hl6dq3lZXyeQ\nOUVvqrJsry2vpaym7GN/HuChvrGsmDyArNJyVmTmEuPrZa+uNEhvNOHtXv8KLm93LaWGhr/QATLy\ny0jJKeXZi7txyxdb6237T59wVu45ht5o/Xext+SO7bi3pzkDsSu/iHJTNbo6WZVTx09varhtHXUe\nvDKgK2/vSWfXSetfi1OjwhgT3p7//rGrwUHYLS1z7Rq2vvEaAO26d0fr6UmlvjaDVFlmXtZ6Nv4a\n0np6EjtxMounTmb0nM/xCAig13/vYPu7b7Hi6hm4+/oSOXwEh9f9ZL/OnKbuYNqo3t1w8/LEUFqb\nwaooMy+76Rrv2/Yla7nwBucNRj3d0XWr2fuW+ZgFdOuB1sMTU51jdmpZ63WGY+bhSeT4yfx06SSG\nzv4Cd/8Ay7bMH7/j6NqVDHjt3TMODm0pu1f8xNIX3gQgsld38/Eqqz1ep46dm41+ubq746LVcsEN\nM3DRaojq05OovueRvmFrvaDl8I49lOafpMuIC+zcm/oy1q5h6+vmYxbco0fN+6y2b429z/bMnUtU\n8ii8w1pn0CzOnaqqh4FngGcURRkB3Ah8D+QqivKFqqqPnqkOuwYtKzJzWZGZa1l/fmAiCQE61hwx\nD7xMCNCRV260yrIApBfpmRDd3rLuoXEh3NuD9CLzG+CY3sCdv/5dr+49J0vs1ZUGpeeWoXFRiArS\nkZFvfkMmhfmSknPmtmhcFDoF1j+l5a51YVyPMG7+fItd2nsma47msuZo7TF7vHcCsb46fq4ZLBvn\npyO/wthgliXE053XB3bjs4NHWJ2Va7V9XEQIV8SHc/sfu8itsM4y2Uunkcl0GplsWd/w/DMUpqUR\nceFwAIrS03APCGwwy1KXqlZjMlRQnpeLR0AAbr6+DHjkccv23bM/IrBz55bvRANOH0y74KEXOXYw\nnR6jhwFw/GAa3kEBjWZZMrbvpTg3n+7JQ+3e3qbqOHwUHYePsqzvePEZStLTCBtmPmYl6am4BQQ2\nmGWpS1WrqTJUUJGXawlajqxaRtrCeZz/6jt4tmt/hhpaTvexI+g+tvZ4ff/oC+QcTKNrsvl45aSk\noQsKsMqyALSPb9oprJ1LV5N00RDcvDxbptFNFDUymag677O/nnuWwrQ0Ii+8CIDCtDQ8AgJsvs9O\nbNuKPjeX1B/NNwA2FBXx1zNP0/ny6SRNd27GyF5a2yXPiqIEAl9jnk4/A7hUVdUCG+WqgFODwA6r\nqjrp9DJnoqrqT8BPiqIEADMwBzBnDFocOqZlWcYJJseEEu3rhY+rlhu7RrLkkO3TA+uy8on10zE8\nPAg3F4WbukWSWlhGRol5YGq0rydeWg1aF4VxUe04PyyAL/c7/vLZ8soqVu09xj2jEvB01dCnUwDJ\nXUP4frv1eJTLbiaICwAAIABJREFU+kUQpDP/motr782tF8XxR1r9K2dGdwuluLySv9LyHdL+M1l1\n5ATjI0Po5O2Jt6uGq+MjWNnAKZ1gDzfeHNSNRYeOsTjT+vLz5I7tmJnUiXv/2mO5dN1ZopJHc2jF\ncoozMjCWlPD3l58TNXqMzbI5WzZTkHIQtaqKyrIydv7vPdx8fPDtZP5lW5p9FENREWpVFcc2biB9\n2VKSrrzakd2pp9fEkWz5YSU5aZmUF5ew7uN59Jk0qtF9ti1ZTbeRQ3E/LRtTXV1NpcFIlckEqFQa\njJgqHX8aFqDjyNEcWbWMkswMKktKSJ33OeHJto9Z3tbNFKXWHrP9H76Hq7cP3pHmY3Z03WoOzvmY\n/i++hldYB0d2w0qP8clsX7yS3HTz8frtk3n0nGD7eHXq3QO/0Pb8Pnc+1aYqDu/YQ+bWncQO7Gsp\nU1lh4O+1v9JzYuPH3BGiRo3i0PJlFFneZ180+D678NXXGfPpHEZ9PJtRH8/GIyiIvnffS9yUKQBU\nV1VRZTSgVlVBtUqV0UC1qfGMdmvWSu899BDwk6qq8cBPNeu2lKuqel7No9kBS12qqhaoqvquqqpN\nuszNoWNa/jxWwGf7svhoRHfzPC1H8vhgd+1A1G/G9ebTvUdYkZlLoaGS+3/fx4N9Y3luYCJ78kt4\n6M/9lrIDwwK4oUskHloX9heU8t/1eyh0wpgWgMcW7eGVaT3Z+kQyBfpKHlu0m5ScUvpFBTL3+v6W\nS5n7RgVy3+jO6Nw1nCw1smz3MV5ffaBeXZf0Cef7bc4fgHvKptxC5qdm8dbg7ri7mOdp+fTAYcv2\nzy7sxZcpWaw5msuEyBA66jy5NjGSaxNr74k1ZvlfANzYuRN+blo+vKD2tbkm6wSv7aq9ZNNRQvsP\noPNll7P+3rss87TUnVtl1fXX0PmKK+k0MhljWSnb330bfW4uGnc3AhM7M/TFV9C4uQNQcPAAO95/\nl8rSUrzDIxjwyGP4RTlnUCdA4uB+XHDtNGbPvJ9Kg5FuI4Yw8v+usmx/Y+pMLrzhckt2ptJgZPfq\nX5nx2hNWdWVs3c3HM++3rD8xYALRfXpw0yeOH3fQrt8AYqZNZ9MDd1JlNBA6eBhxV11v2f7bzKuJ\nmX4lHYePorKslL/ff4uKvFxc3N3wT+hM3+dftRyzlLmzqSwu4s/bay+97TA8mW533ufwfsUN6seg\nqy7l81vuo9JgJGn4EC68uTbo/d+lNzLkuul0HzsCjVbLZa89zZLnXuePuV/jF9aeKU8/QHBU7fvt\nwPo/8PDWEdXXeZc6nxLWfwCdL5/Oz/feTZXB/D7rdm3t+2zFddeSNGMGUSOTrbIviosLrj7euNac\nSspcs5pNL79k2f7tmNFEjR7NgAcfdkxn/h0mAxfWLH8GrAcePNdKFUXpBxxSVbVJ81soijJeVdVl\nNrc1cewLAF4xndXOzztvkiJ7ObnD8XO7OErkYH9nN8EuQr2rnd0Eu+gd5NwMlD39muPh7CbYRb9/\n8DE7UNzgjOtt2tfDL9yqqmrfM5e0n3adE9WLZ3/Y4vV+PPSis+6boiiFqqr611kvUFU1wEY5E7AD\nMAGzVFX94Qz1TgPeB74DFgB/qapqOK1MBOZ5W64FtKqq9rJVl0zjL4QQQvxzBCuKUndQ5Eeqqn50\nakVRlLVY310ZmjCepI5IVVWzFUWJAdYpirJbVdUGU+aqqn6jKMomzFmbHwEPRVHSgJOAJ+bLoEOA\nLcCbqqp+1VBdErQIIYQQTmCngbh5jWVaVFVtcCImRVFyFEUJU1X1mKIoYYDNCd9UVc2u+TddUZT1\nQC/MM9s2SFXVTOBWRVHuAQYDvYF2QDnmQb+/qKp6xnvWSNAihBBCONipgbitzGLM9wKaVfPvj6cX\nqLnaR6+qqqHm3kGDgZeb+h+oqlqBeZDvWc0L0Upn/RVCCCGEg80CkhVFSQGSa9ZRFKWvoiiza8ok\nAVsURdkJ/Ix5TMvfNmuzA8m0CCGEEI7WCmfEVVU1H7C6a6iqqlswz6OCqqp/At0d3DQLybQIIYQQ\nok2QTIsQQgjhYAqSNTgbErQIIYQQTtDapvFvCyTQE0IIIUSbIJkWIYQQwgla20DctkAyLUIIIYRo\nEyTTIoQQQjiYDMQ9O/I3E0IIIUSbIJkWIYQQwglkTEvzSdAihBBCOIEilzw3m5weEkIIIUSbIJkW\nIYQQwsGUVnjvobZAMi1CCCGEaBMk0yKEEEI4gWQNmk+CFiGEEMLBFFS599BZkEBPCCGEEG2CZFqE\nEEIIJ5CBuM3XrKClo3cVTw8qtVdbnGZ1lJezm2A3G4/8M9OPudp/ZpLwow+Knd0Eu/EZ5O7sJtiF\nqdrD2U2wm4zDVc5ughD1SKZFCCGEcALJtDSfBC1CCCGEgymAxtmNaIP+mTl2IYQQQvzjSKZFCCGE\ncAK55Ln5JNMihBBCiDZBMi1CCCGEg8m9h86OZFqEEEII0SZIpkUIIYRwAsm0NJ8ELUIIIYSDKYBG\ngpZmk9NDQgghhGgTJNMihBBCOIGcHmo+ybQIIYQQok2QTIsQQgjhYAoyudzZkKBFCCGEcDSZp+Ws\nyOkhIYQQQrQJkmkRQgghHEzu8nx2JNMihBBCiDZBMi1CCCGEE8iYluaToEUIIYRwArl6qPnk9JAQ\nQggh2gTJtAghhBAOJvceOjsOD1p+nL2I7z74FqPBwMAxg7n1uf/i6u5qs+zqBSv59n/fUJhbQFLf\nrtzxyl0EhQQBMO+NL/nmva9xdavd9+2V7xEaGeaQftiyY8G3bPtyASaDkdgLh3Lh/XeicXOzKld8\n7Dif/2cGrp4elud6X3k5/a67CoC1z73EwdXr0LjWHp6ZqxfjonHOWPPpCR24OjECd40L647m8dLW\nVCqrrdOaWheFZwd0JinQmw46D275eRfbcoss2y+P78Bl8R3wc3el3FTF2iN5vL0znSonZUgvierA\n9Nhw3Fxc+O14Pm/std2vJH8frk+IJMHXm2oVdpws4p2/0zhpqLSUiffVcVuXGBJ8vSmvqmJeWhbf\nZWQ7sjsA+Hm5MuuqPgxNCqGg1MArP+5l8eYjDZZ31SgsfywZL3cNgx9ZYXl+YGI7Hp7anU7tvCko\nM/LBqgMs+P2QI7rQqCuTOnJdV/Nr8afDeTy3McXmMQPoH+rPI/3jCNW5syevhMf/PMCxMgMAzwxK\nYFxU+3r7Dv76Dxqoyu4yF31NxjfzqDYYaD94GEn/vRcXG58dhfv2kvbFbIpTDqC4uBDQoxed/+9O\n3AODAagsLeHAB2+Tt2UDABETLib2yusd2pdT/Ny1vHBBIoPDAyioqOS1TYdYmnbCZtn7+kczrbP5\ns/vbA8d5ZWO6ZdvBm4ahr6zi1KFZnnaCR389aO/mi1bKoUHLtl+28u0H3/D8vBcJDAnkhZueY94b\nX3LNQ9dZld2zYTdfvPIZz8+fRVhUBz5++kNevf0lXlz4sqXMkAkXcO+b9zuyCw3K3LCZrV/MZ8o7\nr6ELDmL5w0+ycfZnDLp1ZoP7zFy1GBet7UCk94zLOP9m53zY1HV+iD9Xd47gtvW7yS038vLgJG7q\n2on3dmfYLL8zr4gFKUd5cWCS1bbfsk+yNCOH0soqfN20zBqYxGXxHZl38Kide2GtX7A/02PDuXfj\nHvIqDDzbpwvXxkfy8YFMq7I+rlqWHj7O5rxCqqpV7uway4M9Enhw814AfF21vNSvK+/vO8Qvx/PQ\nKi6087D+wnGEZy7vRaWpmv4PLqVLuD+f3DaYfVmFpBwrsVl+ZnIC+SUVeLnrLM9pXRQ+uHkgs77f\nzfzfD9GjUwBf3XUBOw6dZP/RIpv1OMKgsACu7xrBzDW7OFFu5I1hXbi1Zyfe2p5hVdbfXcvrw7rw\n9F8H+SUrn9vOi+LloUlctXKHpcycv7N4b4f1vo6Wt3UjGQu/os+st3APDGbns4+Q9uWnxF9/i1VZ\nU2kJ4WMnEfRofxSNhv3vv8He11+k93OvAXDwo3eoMlQwdO43GIsK2PrQXXi0D6HjqPGO7hZPDo6n\nsrqaQV/8SVKQNx+N7c7+k6WkFujrlbssKYyRUcFM+m4LqDBnfA+OFJezYN8xS5lJ323hcHGFo7tg\ndzIQt/kcOqZl3XdrSb50FJEJnfD28+GyO6bz07drbZbd9NNGBo8bQmRCJ1zdXLnsjuns3bSHY5nH\nbJZ3tv0rVtNl4liCYqLw8PWh33VXsn/5Kmc365yNjwph8aHjpBfrKak08enfR5gQFWKzrKlaZUFK\nNjvziqlSrX+yHi2roLSyCjCnRqtRCff2sCrnCKPD27PiSA4ZpXpKTVV8kXqYMeG2+7Upt4Bfjuej\nN1VhqK5mUWY23QJ8LNsvje7I5rxC1mbnUlmtUl5VxeGyckd1xcLTTcPoXh15Y8nf6A1VbEnLZ+2u\nbC4e0Mlm+fAgL6b0j+R/qw7Ue95f54aPpyuLNh4GYFdmAWnHi4kP87FVjcNMjA1hUepx0or0lBhN\nfLT7MJNiQ22WHREZTFphGWsO52GsVvlgVyYJATqifD0d3OozO7Z2JR1Gj8e7UzSuPj5ET7+G7LUr\nbJYN7nc+IUMvQqvTofHwIGLSVAr/3m3ZnrvxT6IuuQKNhweeIWF0HD2e7NXLHdUVC0+tC6Oig3lz\nSwZ6UzVbc4pZl5nPlHjr99jF8SHM2ZVFTpmRHL2RT3dlMTXB9nEVwqFBy+GDh4lOirasRydFU5hX\nQHFBsVVZVVWp971Xs5J5IMPy1OafNnJFz0u5LfkWln+xzF7NbpKThzIIjou1rAfHxaI/WUB5UcO/\nTD+bOp05ky9j7XMvU15Yv9zu7xfz8egpfH3dLaT+/Kvd2n0mMX5epBSWWdYPFpYS5OmGn9vZJelG\nR7Zj3cUDWTNlIPF+3ixKO95STW2WKG8daSW1/UotLiPQ3Q1f1zP3q0egHxkltb8Wk/x9KDGaeGdg\nD74f0Z/n+3ShvYe7XdrdmOj23lRXqxw6UWp5bl9WEfFhvjbLP3XZebz6414qjFX1ns8rMbB482Gm\nDeqEiwK9ogPpEOTFlrR8u7b/TGL9vDhYUOe1WFBKcAOvxVg/Xb2y5aZqskoriPWvzShdlhDGr5cO\nZP64XoyIDLZv4xtRmnkIn+g4y7pPTBzGgpMYi8+c1SrYvRPvyOjTnq394FRVKM1Mx9Gi/LyoVlUy\nimqD9335pcQF6KzKxgfq2Jdf+5rdn19KXIBXvTJfTTyPP64cyLvJXejo7fj3lj0oNdP4t/Tjn86h\np4cq9OV4+dS+aE8tl5eW4xtQ/4O170X9ePm/sxgzYxwdojuw4K35KIqCodx8TnrIhAsYfcVY/IP9\nObjjALNueR6dr45hky90WH/qqtSX4+Zd27dTy5X6cjz9/OqV9fDzY9on79MuPo6K4iJ+efVtVj/1\nApPffAmAHtMuZvDtt+Cu8+bwpi2seuJZdEGBhPXo5rgO1fDUaizZEcCy7KXVUGQ0Nbu+VYdzWXU4\nlwhvD8ZFhXDSYGyxtjaHh8aF0sra9peZzP3y1Goormy4XzE+XlwdF8FjW/dZnmvn6U6Cnzf3bdpD\nekkZt3SO5vHzErl9wy77dcAGnYeWkvLKes+VlFei87B+m4/q2QGNi8LqndkMiLf+wl68OYtZV/bm\n8Wk9AXh8/naOFTg+e1SXl6uGkjrHprQm2NK5Wr8WvVw1FFTUf22VGE3oak7HztufzWtb0imtNDEw\nLICXL0giv9zIjlzrH1D2VlVejlbnbVk/tVxVrgdfv4Z2o+RQKunz5nLeky9angvq05+MhV/R9d5H\nMRaeJHv1MqoqDPZrfAN0rhpKTguGS40mdK7Wp8O9tBpK6xy/EmMV3nUC0SsW72DniWI8tC7c3S+a\nD8d0Z/J3W5w2Fq4l/RuCjJZm16Bl/Q8/8/4j7wDQpV9XPLw8KS+t/YWqr1n29LZO2fYcfB5X3D2D\nWf/3PPqSMiZdPwVPb0+Cw8wfsJHxkZaySX26MPG6yfy54neHBS0HVq1l/ctvABDWszuuXp4Yy2r7\nZiwz/8pz9bLum5uXJyFJiQB4BQZywb13MGfiNIxlZbjpdLRPTLCUjRo0gIRRI0hb/5tDgpbRke14\nuE88ADvyiig3VeFdZ9yNd82Hjt5UZXP/pjpSWkF6kZ4Hesfx4J/7zrzDORrZoR33dDP/mt11soiK\nqmp02tqX/6kvs/JG+tXBy4NZ/bry7t/p7K6THTRWVfNbTj4Hisy/Fj9LOcyPyeej02oswZAjlFWY\n8Pas/5b29nClrKL+F7qnm4aHpnbn+nf/sFlPTIgP79zYn1s+2MDv+3OIau/NJ7cO5kRRBT/vcVxm\nbFx0ex4fYH4tbjtRhL6yyvL6AyxfgGWV1n9jfWUVutOyZt6uWsvx2H+y9pf979kFLD90ghGRwQ4J\nWo6tW82+d14FwL9bDzSenpj0tVmhU8saTy+b+wPos7PY/vj9JN5yBwHdelqe7/x/d7H//Tf548bp\nuPr4EnrhSI6vt30K3p7KKqvwdqsfoHi7am0fK1P9IMXbrX4Qs+W4OeNUaaziuT9T2XbtEGL962fS\nxL+HXYOWC6dcxIVTLrKsv3rHSxzad4ghEy4A4NC+dPyDA6yyLKeMv3oi46+eCMDR9CwWvruATom2\nz88rioKNYRR2kzh6JImjR1rWVz35PHkpacSPuBCA/JR0vAIDrLIstig10bbaQAfMfXNM505lQk55\ndkAi8f461mblARDvryO/3HhWWZbTaRQcNqZlbXYua7Nr+/XYeQnE+upYf9zcr1hfHScNxgazLCEe\n7rzWvxtfpB5hTZ16APNppjqHx1k/AA+dKEXj4kJUO28ycs1fyknhfqQcq/9FHNXem45BXnx97zAA\nXLUu+Hi6snHWeKa+/DOJHXxJzynlt3055npzSvl5zzGGdQ11aNCy/NAJlh+qvdrkxSGdSQjwZnWm\n+ZglBnqT18BrMa2ojIkxteMnPLUuhPt4kFZo+4tOVc3jrBwhbPgowoaPsqzvfulpStNT4YLhAJSm\np+IWEIhbA1mW8pzjbH34bqKnX0OHEWPqbXP18aX7g09Y1lPmfohvovWgeHvLKNKjURQ6+XqSWWzO\n0HUO0pFqI9BIOVlG5yAdu3JLasp5Ww3WrUul9jOzLTNf8vwPSBc5mEPHtFw0dQRrvl7N4ZTDlBaV\nsPCdBYy4ZKTNssYKI5kHMlBVldyjJ3jv4XeYeN1kvP3MgwE3rP6L0qISVFXl4I4DLJm7mAHJ5zuy\nO/V0HpvMvqUrOHkog4riEjbP/ZLO40bbLHt87z4KMo+gVldTXlTEr2+8R8fePXH3NqeFU9f9glFf\njlpdzeGNWziwai3RQwc5sjsWyzJPMCk6lGhfL3xctVyfFMnSjJwGy7u6KLjV5DzrLgNMjg4hoOby\n9mhfL65NimBzTqF9O9CAVVknGBcRQidvT7y1Gq6MjWBllu1+Bbu78dqAbvyQeYwlh62/tFdm5TAk\nNIhYHx0aReGquAh2nSxyaJYFoNxYxaodR7l7Yhc83TT0iQkiuWcHFm2sf0XUwexiBj+ynPEvrGX8\nC2t5+Mut5BVXMP6FtRwr0LP3SCFR7bwZmNgOgMhgHRd1C2NflnOO1SlL0nO4OC6UGD8vfNy0zOwe\nyeIGxkStO5xPnL+OEZHBuLko3Ny9EykFZWTUfIGOjAzGU+uCAgwMC2B8THvWZzlnzE7YiDEcXb2M\n0sxDVJaUkL7gczqMHGuzbEVeLlsfupOIiRcTMX6K1XZ99lGMxUWoVVXkbd7A0RVLiJl+jb27YKXc\nVM2ajDzu7BuFp9aF3iG+jIgK5ocU6/fYDyk5XNc9nBAvN9p7uXF993C+P2g+rnEBXiQF6XBRwEvr\nwkPnx5JTZiCtkaBG/LMpzfkFH98jXn19ydvn9B/+MPt78zwtFQYGjRnMrc/fbpmn5bbkW5h222Vc\nOOUiSotKefiyBzieeQxPnRcjpo3kyvuuRlMzV8krt7/Ejt+2UWmsJCg0mHFXjWfidZPPqk2rs1tm\nYNf2+d/Um6flogfusszTMm/G9fS5+goSR4/k4Op1/PXhJ5QXFOKm8yKiXx8G3XYTuqBAAL77vzvJ\nTz2Eqqr4dgilz1XTSUgeflZt2njE9hw4zXFFQkeu6hyOu8aFn7PymFVnnpYFo3szZ98RS3bmh/H9\n6KCrnz2ZvHQTx/QGHu8Xz6CwQLy0GgoMlfx0JI8P92RgPIvJMXTe5/5Ta1p0By6PCcfdxYVfc/J5\nY09tv+YM7cVXaVmszc7l6rgIrkvoZHXqaNzqvyzLkyJDuTIuAg+Nht0ni3lzbyq5Fc0fr5O5pOGA\nsCn8vFx56aq+DElqT2GZkZd/2MPizUfoFxfEp7cNofvdP1rtMyA+mNev61dvnpZxvTty+/gkOgZ6\nUVJeyeJNR3j5xz3nlM30GdTu7HeucdVp87Q8W2eelu8n9mH2niOW7MyAUH8e7h9HmM6d3XklPPHn\nAbJr5mmZM6on8QE6FOBoaQWf7j3Cyozchv7bRoW0O/fffpnfLyDjm3lUGQyEDBlG0n/vs8zT8ufN\nVxF92VWEDR9F2ldzSP/yUzQe9U87D1+0GoDjv67jwIdvYyorxatjBPHX30JwnwFn3a6Mw2cfePu5\na3lxWCKDOgZQaKjk1Y3meVr6hvrx8dju9Jrzu6Xs/QNimJZovmLomzrztJzfwZ+nhsQTqnOn3FTF\n9pxiXtqQbsnenK2Umy/cqqpq33Oq5BzFdE9QX/jh3L5PbZkeN9bpfbMnhwctrVFLBS2tUUsELa1R\nSwQtrdG5Bi2tWUsELa1RSwQtrdW5BC2tWWsIWmK7J6gv/tjy36eXxf6zg5Z/7rtNCCGEEP8ocu8h\nIYQQwgnkkufmk0yLEEIIIdoEybQIIYQQDqYoqlzyfBYkaBFCCCGcQE4PNZ+cHhJCCCFEmyCZFiGE\nEMLBFCTTcjYk0yKEEEKINkGCFiGEEMIJXJSWf5wLRVGmKYqyV1GUakVRGpygTlGUMYqiHFAUJVVR\nlIfO7X9tHglahBBCCAGwB5gK/NpQAUVRNMB7wFigCzBdUZQujmmejGkRQgghHM58l2dnt6I+VVX3\nASiN30a7P5Cqqmp6TdkFwGTgb7s3EAlahBBCCMdTwKVtztPSEThSZz0LOPu7cjaTBC1CCCHEP0ew\noihb6qx/pKrqR6dWFEVZC4Ta2O9RVVWtbwNvzVYaxmHRlwQtQgghhBPYaVBpXmN3eVZVdeQ51p8F\nRNRZDweyz7HOJpOBuEIIIYRoqs1AvKIo0YqiuAGXA4sd9Z9L0CKEEEI42KnJ5VrZJc8XK4qSBQwE\nlimKsqrm+Q6KoiwHUFXVBPwXWAXsAxaqqrr33P7nppPTQ0IIIYQTtMKrhxYBi2w8nw2Mq7O+HFju\nwKZZSKZFCCGEEG2CZFqEEEIIBzOfHmqTlzw7lWRahBBCCNEmSKZFCCGEcAK5y3PzSdAihBBCOJjS\nAlf7/Bs1K2hx00C0r8lebXGadzrFOrsJdjOz6qizm2AXX17x0ZkLtUH+3tHOboLdKPkOu6eaQ5X4\neTi7CXYTNDLE2U0Qoh7JtAghhBBOIINKm0/+ZkIIIYRoEyTTIoQQQjiBImNamk2CFiGEEMIJJGZp\nPjk9JIQQQog2QTItQgghhIMpyOmhsyGZFiGEEEK0CZJpEUIIIZxAsgbNJ38zIYQQQrQJkmkRQggh\nnECRuzw3mwQtQgghhBPIONzmk9NDQgghhGgTJNMihBBCOJhc8nx2JNMihBBCiDZBMi1CCCGEE0ii\npfkkaBFCCCEcTQEXiVqaTU4PCSGEEKJNkEyLEEII4QSSaGk+ybQIIYQQok2QTIsQQgjhYHLJ89mR\noEUIIYRwAolZmk9ODwkhhBCiTXBopiXl70xeffxT/t6ZSuHJEnafXNxg2YzUo7z25Bx2btpPVVU1\n3XrF89CsmUTHhze7Lkfbs+cg9977Elu37iE/vxBVPdBo+SVL1vHww6+TkXGUHj0SmT37Obp0iXNQ\na5tv99ffsGveAkwGI9HDhjL43rvQuLlZlSs5dpyvL70CraeH5bmeV0yn17VXObK5Vm65ZhRXThtG\nt8QIFi7+k5vu/cBmuWkTB/LYPZcQ0s4fg7GS1et3cs8TcykpLQcgMjyYt567ngF94jEYTPywfCP3\nPf05VVXVjuyOxXVXnM9lU3rTOSGUH5bt5K5Hv7NZLjEuhKceGEuPrh0JDNAR1uURm+WiOwWx7oc7\nWLZ6D/998Bt7Nv2M/HRuzPq/8xnSowMFJRW8Mm8HS/7IsFm2a3Qgj13Th64xgZRXmPjfoj3MXVH/\nPdg/qT3znx7Fe9/t5vWvdzqgB03j5+XKrGv7MrRLCAWlBl75fg+LNx2xKnfnxC7cOq4zRlPta23c\n02s4klfmyOY2yfSEDlzTOQJ3jQvrsvKYtTWVymrrGwVqXRSeO78zSYHedNB5cPO6XWzLLbJsvzKx\nIxOiQwj1cqfQYOLb1Gy+PHDUkV1pcZJpaT6HZlq0rhpGTxnM02/ffsayJUVlXDSmP0s2/Y/1Bz6n\nW+947rjy+bOqy9FcXbVceukYPvnk+TOWTUnJYMaM+/jgg6coLNzMxIkXMWnS/2EymRzQ0ubL2riZ\nnV8tYNybr3L5N/Mozj7G1k/nNrrP1cuXcO3q5Vy7ernTAxaAYzkFvPT2Ij5buL7Rcn9tOcDwqU8R\n2u0Gugy5E63Ghafuv9Sy/a3nric3v5jovrdy/tiHGHJ+EjdfnWzn1jcs50QJb374Mwu+39poOZOp\nisUrd3PP4983Wu7Fxyaxc0/r+FJ4+sb+VJqqGTDzW+5++w+endmf+HA/q3IBPu7MeWQ489em0Pf6\nbxh+x4/8tutYvTJajcLj1/Vl+8FcRzW/yZ6Z0YtKUzX9713C3bM38eyM3sR38LVZdtmWI3S//QfL\nozUGLOeH+nNNUgS3rt/NpKWb6ejtwc3dOjVYfmdeEU9sOEBeudFqm6IoPLnxACMW/cWdv+7h0vgO\nJEe0s2fE3cfBAAAgAElEQVTzRSvk0KAlOj6cqVeNIq5z5BnLdu+TwNSrRuEX4IOrq5arb51MRspR\nCk8WN7suR0tMjOGGG6bRtWv8GcuuWvU7Q4f2ZciQvmi1Wh58cCZHj+bwyy+bHdDS5ktZuYrE8WMJ\niI7G3ceHXtdcRcqKVc5uVrP8uHIzS1Zv4WRBaaPlso6dJL+gxLJeVV1NTKcQy3pURHu+W7oBg6GS\nnNwi1qzfSVJCuN3afSbL1+5l5U/7KCjUN1ouLSOP+d9v5UBqToNlJo/tQVFJBb9tSGvpZjabp7uG\n0QMieP3rnegNJrYeyGXtliymXBBtVfb6CUn8ujObxb9nYDRVU1ZhIu1ocb0yN0zowu87j5GeXWy1\nvzN5umkY3TucN37ci95QxZbUfNbuzObi81vfZ1xTjY8KYXH6cdKL9ZRUmvhk7xEmRIXYLGuqVpl/\nMJudecVUqdaZmC/2Z3GgoIwqFTJLyvnlaD4929kO6NoKF6XlH/90bWZMy5Y/9xIcEoB/YNt+kZ5O\nVVXUOm/QU+t79hx0YqsaVnAog8C4WMt6UFws5ScLqCgqanCfBdMuZ97US/nlhZeoKGy4XGs0qF8i\nx/d8Qt7+uUwZ2593P1lh2fbenJVMmzQQTw83OoQEMOqi81izvvWcajhb3jp37r99JE+/vNzZTQEg\nOsyX6mqVjGO1AeT+zALiI/ytyvaKD6ao1Mg3z45m08eX8NGDFxIW5GXZ3iFYx7SLYnnn290OaXtz\nRIf4UF2tciinNpjel1XUYKZlRI8ObHtzEiufTmbGsBhHNbNZYvy8SCmszQAdLCwlyNMNP7dzH5nQ\nq50f6UWtL7sk7KtNBC3Hj+bxwgMfcP9z1zu7KS0uOXkQv/yymfXrN2I0GnnhhQ8wGivR6yuc3TSb\nKsvLcfPWWdZPLVfqy63Kevj5Mfnj/3H5NwuYMvsDKvXl/PzMmU+ZtSZ/bj5AaLcbiO13K298uJTM\nrNpTCr9t+JukhHBO/P0paZvfZ9uudBav2uLE1raMB+9IZv53W8g+3joCTC8PLSX6ynrPlegr0Xm4\nWpUNDfRi6rAYnpm7hSG3fk/WiVLeunOIZfsT1/XljZqMTWuj89BSUn5aP8tt93PZliMkP7GKvncv\n5pHPt3H7hCQm9o9wVFObzEurobSyyrJ+atlLqzmnem/qGomiwJJDDWcLWzvFTo9/OrsGLUu/WU//\niEvpH3Ept0x76qzqOJlXxM3/eZLLrh/HuP8Ma9kGtpCvvlqMt3cvvL17Mfb/27vv+Ciq9Y/jn5NN\nIYXeIUAoEQi9JAICAoamgEpVEQtXFOu1X1REVPQKtp+KvYIoYkMp0puiSO9FauihhpBCsinz+2OX\nkLIBAuwuy/2+fY3ZmTkz+5zNbvbZ55xZut9TpGPr1avNuHGv8dBDL1O5cjuOHk0gKqoO4eGuS6ie\ntn32XL7qcj1fdbmemU8OIyA4mIyUM8MP9hTHJ52AkOACxwaEBFO+Xl38/G2ElClDm8ceYf/yFTnH\n+JIDhxKYs3At48c+AjjG16d+/Qy/zlhO2Xp3UbXxEEqVDOWVZ2/zcqQXp0G9yrRrXZtPxv/p7VBy\npKZlEhac9407LDiAlLSMAm3T7FnMXraX9TuOYc/I5t0f1tGiXgXCggPo1KIqYcEBTF+y21OhF0lK\nWiZhxfJWIMKK+bvs5/aDSRxOTCPbglU7jvHVvO10b17VU6EWqluN8izq3YZFvdvwTvsGpGZmERpw\nJkEJc95Ozcwq7BTn1K9OZa6PqMhjv290OaHXlxhjXfLlSufWq4d69OtAj34dLvj4xBPJ3NdnBB26\nx3DvE/3PfYCXDBzYi4EDe13w8X37dqNv324AnDhxki+++Ino6EaXKryLUqdLLHW6xOasL3hxFMe2\n76BWpw4AHN++g+AypSlWsuCkyAJOfwxwMV7tC/z9bTlzWsqUCqNa1XJ8NG4Wdnsmx+3JfP39Il54\nqj/PvfqtlyO9cG2ia1KtSmlWzHsagNCQQPz8/JhduwJd+r7vlZh2HTyJzWaIqFScuHjHEFH9GqXZ\ntvdEgbZb9iRgkXu41fHTGGjTsBINa5Xh70/6AFA8JICsbIurqpdi6OuL3N+Rc9h1KAmbzY+ICmHE\nHXYMEdWvVopt5zH3xsKRSHvbzN1HmLn7TDXy5VZ1iSwVyty9RwGILBXKsVN2Eu0XVunqWbMid9av\nxn3z13HYxWRdufJ5dHjIsizS0+xkOJ+w6Wl27OkFP0UAJJ9MZWjfF2h6dX0ee+HOizqXp1mWRVpa\nOna7I560tHTS0wt/ga1cuYGsrCyOHDnOffeNoGfPTtSrV7vQ9t5Up1sXtk7/jYRdcaQnJbF6/AQi\nu3d12fbwxs2c2LMHKzubtMRElrwzlsrNmhIYFubhqPOy2fwICgrAZvPLczu/W266hmpVygJQvWo5\nRj41gIV/bgDgWEISu/Yc4t5BnbHZ/ChZIoTb+7Zn/SbvfYq32fwICvTHZjO5brt+iQcF+hMY4J/r\ntuMT8IQfltOq2xvE9n6P2N7vMX7SMuYt+odbh3zloV4UdCo9i9lL9/LogCYEB9loUbc8sdHh/PL7\nrgJtf1qwgy7R1ahfozT+NsNDfRuxfPNhklIzeHvSWmL/PYUeT02nx1PTmbdiH5Pmbec/HyzxQq8K\nOmXPYtaq/Tx2YxTBgTZa1C5L5yZVmPz3ngJtY5tUpkSIo/rUOKI0d3aqw5w1Bzwd8jn9FneYG2tW\nomaJEIoH+DM4qjrT4gof0gnwMwQ6Z5Pmvg2OKs6DjSJ4aOF69qdcnsPnRaXhoaLz6Pe0HNh7mG5N\nh+Sst6zSlyrVKjBr7WcADO03khatoxjyeH/mTV/ChlXb2LFlD79OnJ9zzK9L3qdyePlznsubdu/e\nT82a1+WsBwc3pkaNqsTFOfrRvfs9tGvXkmefHQrAv//9CmvXbiEgIIB+/brx1lvDvBL3+ah2dQyN\nb72F6f9+gqz0dCKubUeLwXfl7P9x0N00HTSQOl1iSTp4gOUvfk5awgkCQkKoGt2Cji8M917wTsMe\nuZnhj/XNWb+tdztGvf0j4yctZNW8N2h+3ZPsPXCMepFVGfXMrZQqGcqJxBRmLljDiNe+yznulnvf\n5vUX7uDx+3uSlWXx+5KNPP3S197oEgCPDu3Ikw+eed717dWMN96fx3c/r2DR1Ee5tuf/sf9gIuFV\nSrF87tM57eLWvMTe/QnEdH6dU2kZnMo1HJGSaifdnsGxBO8O6Y34bBmjH2jNsk/7cSI5nec/Xca2\nfYm0rFeeL57tROM7JgGwZOMh3pi4hs+e6UhwoI0V/xzhsXcXA47hl5S0M5/w0+xZnErLJDHl8vnE\nPuKbVYy+qyXL3+rJiWQ7z3+zim0HThIdWY4vHmlLo4d/AaBnTDVG39WSQH8b8QmpfDzzH36+DIe9\nlsQnMH7LPj7s2Iggmx8L9h3l4w1n4pzUrTlfbt6bU5358fqWVAl1fK/T2A6OanOvqcs4mJrO0IYR\nlAzyZ1znZjnHz9h9mNdWbvdgj8TbjFWEUn2DZpHWpPlvuTEc72hYuq63Q3CbIYsvj+/ZuNQm3PaJ\nt0Nwi1JhBS/jvVKENIzydghuYZUsdu5GPqps7OUxt+5SW3FL+5WWZbX0ZgyNmkdavy669O+ntUv0\n8nrf3En/9pCIiIiHGXzk8t3LjB4zERER8QmqtIiIiHjBZXDBl89RpUVERER8giotIiIiXqBCS9Ep\naREREfECDQ8VnYaHRERExCeo0iIiIuIFKrQUnSotIiIi4hNUaREREfEwA/ip1FJkqrSIiIiIT1Cl\nRURExAtUaCk6JS0iIiIeZ2HM+f+DxeKg4SERERHxCaq0iIiIeIGGh4pOlRYRERHxCaq0iIiIeJgx\n+hr/C6GkRURExAuUsxSdhodERETEJyhpERER8QI/NywXwxjTzxiz0RiTbYxpeZZ2ccaY9caYNcaY\nFRd5t0Wi4SEREREB2AD0Bj4+j7YdLcs66uZ4ClDSIiIi4gWX20Rcy7I2A5jLLbBcipS0GCDg8u3L\nBZuxd7u3Q3CbuZPSvR2CW1Tsf6u3Q3CL5KkLvB2C25jEK/O5WO3OCG+H4DZ9IlK9HYJbeHQ8o1AG\nH56KawGzjeMrfT+2LOsTT92xKi0iIiJXjnL55pl8kjupMMbMBSq5OO45y7J+Pc/7uMayrAPGmArA\nHGPMFsuyfr+ImM+bkhYREREPc9RZ3FJpOWpZVqGTaC3Lir3YO7As64Dz52FjzGQgBvBI0qKrh0RE\nROS8GGNCjTHFT98GuuCYwOsRSlpERES8wBi/S75cXDzmZmPMPqA1MN0YM8u5vYox5jdns4rAYmPM\nWmAZMN2yrJkXdcdFoOEhERERwbKsycBkF9sPANc7b+8Emng4tBxKWkRERLzCZ68e8holLSIiIh5n\n3DUR94qmOS0iIiLiE1RpERER8QpVWopKlRYRERHxCaq0iIiIeMHFXqL8v0hJi4iIiFdoeKiolOaJ\niIiIT1ClRURExMOMLnm+IKq0iIiIiE9QpUVERMQLVGkpOiUtIiIiXqHBjqLSIyYiIiI+QZUWERER\nLzBGw0NFpUqLiIiI+ARVWkRERDzOoC+XKzqPJi1bN+1m9PNfsHHNdk4cT2JLwpRC2+7avp/XR3zJ\n6mVbyM7KpmHzSJ57bQi1IsNz2uyNi2fUfz5h+V8bCQz0p8/AWJ566W5PdKWAyZ9N5scPfyQ9zc41\n3a/hoVceJCAowGXbmRNn8cMHP5BwJIEG0VE8+vqjlK1UFoCM9Aw+GvkxS2YtITMjk6iWUTz03wcp\nV6mcJ7sDQMmQAEbf1px29SqQkGJnzJSNTFm5r9D2ATbDjGeuIyTQnzYjZhbY3zumOm8OasGwb1cx\naclud4Z+ViWDAxjTvynt6pbneIqdMb9tZsrq/QXaDW5Xi7va1qR0aCCp6VlMW7ufV6dtIivbAiCq\nSglG3tSIepVLkJKeycSlu3l3zlZPdyfHvwa25dbeMdS/qjI/T1vFw89MdNluwE3R3DuoHbUiypOU\nnMZP01Yx6q3pZGVlF+k8nlSyeCD/fawdbVtUJSExnTe+XM7UBTsLtPt8VBdaNqyUsx7g78eufYnc\nMHQyAM2iKjB8aCtqVyvJvvhkXhj7Fys3HvJYPwrTt2YVbqsVTqDNj9/jj/H2hu1kOJ9nuUWVKs7g\nq6pzVckwsi1YczyRdzfu4Hh6Rp52/sbwRftmBNts9Ju/3FPdcGnB+J+Z+/n3ZKSn0yS2Lf1HPExA\nYGCBdsunzWfSi+/krFuWRUZaOk9OGkv1BpF8OPQ5dqzckLM/KyOTCjXDeWbyxx7ph1wePDo85B9g\no/tN1/DKew+fs21SYgqduscwY/mHLN46nsbNI3lw4Cs5++32DAbfPIJW7RuzeMs4Fm38kl79O7gx\n+sKtXLSSHz74kVe/fZUv//yC+D3xTHhrgsu26/9ez7gx4xjx2fNMWvcdFatVYvTDY3L2//LFr2xZ\ntYX3Z41lwvKvCS0RykcjPvJUV/J4qX8TMrKyiX72Nx4dt4KXBzQlslLxQtvfe10kx5LSXe4rERzA\nA12u4p8DJ90V7nl7uXcjMrKyaTlyFo9+s4pRvRsTWbFgv+ZuiqfH24toNHwGXd5YQP0qJbirbc2c\n/e8MbMGyncdoOmIGAz78k9tbRxAbVdGTXckj/nAib34wm29/WnrWdiHBATz36i9c1Wo4Xfr9H+1b\nRfLg4I5FPo8njXywDRmZ2bQa8C2Pj17ISw9fQ2SNUgXa/Wv4bJrcND5nWb3pMDP+2AU4Ep+PR3bm\nsx/W0bzPBD79YR2fvNiZEmEF30A9KbpcKW6rHc7jSzdwy/zlVAkpxt2R1V22DQvwZ+qeeG5ZsIIB\n85eTmpnFsMZXFWh3S+2qJORLZLxh858rmPvZJB76/DVGzhrPsX3xzHj/a5dto3t04o3lv+Ys/Yc/\nRNnwylSLqgPA/R+9kmd/zaZRNO3SzpPdueSMG/670nk0aakVGU7fQV2oU8/1CzK3xi2uou+gLpQq\nXZyAAH/ufOBGdm3bT8Jxx5ve5G/nUaFSGe5+8CZCQosRVCyQug1rnuOs7jH3x3l0GdCFGnVrULxU\ncW595Bbm/jjXZdulc5fS9oa21Khbg4DAAG595BY2LN3AwbiDABzae4jm7ZtTunxpAosFcm2v9uze\nuseT3QEgONBGtyZVeWvaZlLtWazYeYx56w9yc4zr31142RBuiq7OB4VUGp7u1YCvFu0gIcV1UuMp\nwYE2ujWqwpsztzj6FXecuZvi6d0ivEDbPcdSOZmWCYAxkJ0NEeVCc/aHlw7ml9X7yLYcbZfvOs5V\nZ0nq3G36nPXMmLeB4ydSztruy4l/8ffKnWRkZBF/OJEfp67k6uZnXjvnex5PCQ7yp2vbCN4et5LU\ntExWbjzEvCV7uOm6Omc9rmrFMFo2rMgvc7cD0DyqIsdOnGLGH3FkZ1v8On8HxxPT6HpNhAd6Ubiu\n4RX4be8h4pJTSc7MYvy2PXQLd538LjuSwKL4Y6RmZpGenc3kuAM0LJP3OVcpOIjOVSvwzY7Cq6Ke\nsuzXObTq3ZXKdSIIKVmcrkNvY+kvc87r2KW/ziGmV6zLyarH9sezY9UGYnrGXuqQPczPDcuVzWd6\nuOKvjZSvWJrSZUoAsHbFP1StXoEhfUfSqvZABvV4ln82xnkltj1b91Cz/pk/+jWjapJw5AQnEwpW\nFSzr9P+c6zhux22NA6DLgC5sWrGJY/HHSDuVxoJfFtKyQ0u3xu9KzQphZGdb7DqSnLNt8/7EQt+U\nR/ZtwutTN5Jmzyqwr0mN0jSqXopvFu9yW7znq1a5ULIti11Hz7whbz5wstAKUq9mVVk/qjtrXupO\n/Sol+DbXsNYXf+ykT4tq+PsZapUPpXmN0izedtTtfbjUWkfXZsv2eG+HUaia4SXJzraI23/m9bR5\n1zEia5Q+63E3x9ZhxYZD7DvkeA67mkFgDFwVcfbzuFtE8VB2nDzzfNxxMoUyxQIpEXDu0fsmZUoS\nl5SaZ9u/G9Tm0y27sTuH+7zp4PbdVK1bK2e9at1aJB1LIOXE2Suuxw8cYsfKDcT0cp2ULJsyl9rN\nG1I2vJLL/XLl8omkJX7/UV566iP+M2rwmW0HjvHbz38w6L6e/L75Kzp0acmDA1/Bbvd8SfRUyilC\nS4TkrIcWd3waP5V8qkDb6I4t+WPaYnZt3kV6WjoT/28ixhjSTzkqEOG1qlKhankGxdxB36h+7N2+\nl9sevdUzHcklNMifpLS8j2VSWiahxQr+Ie3SuDL+fobZ6w4W2OdnHMNMI39YlztX85qQIH+STuXv\nVwZhQa7fIKas3k+j4TPo8No8vlkSx9HkM5WieZsO0b1xFbb89wbm/+c6vl+2h3V7T7gz/Evu1t4x\nNG1Yjfe/WODtUAoVEuxPUoo9z7bklAxCg13PGTvt5thIfpqzLWd91abDVCgbQo8OtfC3GW6OrUP1\nyiUoVsjv3lOCbX6kZGbmrCdnOhL/EH/bWY+rVTyEOyKr8eHmuJxtbSuWxWYMiw8dc0usRZWemkax\n4meqk8FhjttpKamFHQKcOylZPmUuV9/U+dIF6iUaHio6tyYtU79fSPPw/jQP78+QviMv6BzHjyby\nrz4vcNvg6+nR99qc7cWKBdK8VRTtO7cgMDCAwQ/fzInjSez8x/0l0QWTF9C7Xh961+vD83eMIDg0\nmNSkMwlKarLjBRkcFlzg2KZtmzLw8YG8ct+r3NX6biqEVyQ4LDhnou3Y597Hnp7BpHXfMXnLz7Tp\n1obn7xjh9j7ll5KeSVi+BCWsmD8paZl5tgUH2hh2Y0NG/rjW5XkGtavFlv0nWR133G2xFkWqy34F\nkJyeWcgRDnFHU9h2KImXezcGHJN5xw1pxbtz/qHuM9Np9fJs2tctz+1tItwV+iXX/bqGPP9EDwYM\n+YTjCZfHUJArqacyCQvJO+8kLCSAlFOFf0Bp0aAi5UoHM/OPM9W9E0npDB05l8G9G/L3pIG0bxnO\nX6sPEH/Us32PrVKeGV1bM6Nra0ZHR3EqK5sQ/zPPyVBnspKaWbBqeVrVkGKMjmnAe5t2st5Z0S1m\n82No/Qje2bjDvR04i+XT5vNk9I08GX0jHw59jqCQYqQln0lQTicrxUJDCjuF4zxT5hJzo+sqy45V\nGzh5NMHn57PIhXHrR4ye/TvQ8yImxyaeSOZfvUfQqVsMQ5/sn2df3QYRrFq6+SIjvDAdb+5Ix5vP\nTFwc/fAYdm3eSfuejhfRzk27KF2+FCVKl3B5fM87e9Dzzh4A7Nu5n+/e+44adWsAsGvTLu54ehDF\nSzmGK3rd1ZMJb04g8XgiJcuUdGe38th1OBmbnx8R5UOJO+L4o16/akm2xiflaRdRPozwsiF8/2h7\nAAJsfhQPDmDZK925+c1FtKlbnqvrlKNjg+4AlAwJJCq8FFHhJXnhh3Ue689pO4+mOPpVLpQ455tV\n/col2JavX67Y/PyoUdbxx7Z62RCysy1+dl5NFZ+YxtQ1B+hYrwIT/opzW/yXSqd29Xh71ABuvfdT\nNm8tWCG7nOzal4jNZqhRpQS7nRO569Uqw7bdCYUe07tzJLP/jCM1X5K9bH08vR9xXLVo8zPM/6o/\nn/+03n3BuzD3wBHmHjiSsz686VXULhHKwoOOocXaJUI5nmbnZIbrRLpicBBvXt2Qr7ftZc7+M+cJ\nDw2mUnAQ77V2JNb+fobQAH9+vi6GB/5aS/wp988ni+7RiegenXLWxz39Xw78s5Pm3RwfOPf/s5Pi\nZUsTWsr130aAnas2knjkWKFJybJf59Ak9hqCQgp+KPQlxhh9udwF8OjwkGVZpKfZybA7XozpaXbs\nhcxwTz6Zyj19XqDZ1fV5YuSdBfb37N+BtSv+4a+Fa8jKymLch1MoXbYEteoWnFDpbtf16cTsSbPZ\ns3UPSSeS+O6974jt6/pTgj3NTtw/cViWxeH9h3lv2HvcOPjGnCQlskkk836aT8rJFDIzMpn+9XTK\nVizr0YQF4JQ9i1lrD/DYDfUJDrTRomYZYhtVZvKyvJOCtx48SZvnZ3L9a/O5/rX5DJu4mqNJaVz/\n2nwOJqTy5IRVxI6am7N//Z4E3p2xhTembvJof/L0a/1BHu9a19GviDJ0blApJ/nIbUBMdco6ryyp\nUzGMBzrV4U/nnJVdR1IwxtCrWVWMgfLFg+jRpAqbvXh1lM3mR1CgPzY/vzO3bQVf4u1a1eGj12/n\n7oe/ZPX6gpO8z/c8nnIqPZPZf+7m0TuaExzkT/OoCsS2rsEv87a7bB8UaKN7uwh+mr2twL6o2mXx\ntxnCQgIYdm8M8UdT+GNlwcvdPWn2/sPcEF6RGmHBhPnbGFSnGjP3ub4Mu1xQIG9d3ZDJuw8yZU/e\neUi7klLoP3859yxezT2LV/P6+u0kpNu5Z/FqDnsgYXElulcsS36excEdu0lNTGLWx9+ec1hn2ZQ5\nNIlt67IaY09LZ83sP7j6pi7uCtnDjBuWK5tHB3P37z1MbJMhOetNKvelSrUKzF/3GQBD+o6kReso\nhj7RnznTl7B+1Ta2b9nDLxPn5xwzbcn7VKlWnlqR4Yz5+HFGPv4Bx44mEtW4Nh98O5zAwLOPc7tD\nyw4t6TO0L8NueYb0tHSu6X4Ntz9+e87+odfdz4CH+tPx5o7Y0+2Mefh1Du4+SEhYMLH9OjPoyTNt\n7xn+Lz564WPuuXYImRmZ1LiqBsM/fc7jfQJ4/vs1jBnYnBWvXk9Cip3nJ61hW3wS0bXL8uX9bWj4\n5FSysi2O5rrM+USKnexscrYlncogdw0jIyub5LQMktLOPhzjTsN/XsfrA5qycmRXElLsDP95HdsO\nJRFdswxf3dOKBs/9BkDLmmV4snt9QoNsHE+2M33dAd6auQWA5PRM7hu3nGE31GdU78akZ2Qxd9Mh\nxs4r+EbpKU/c35mnH+6Ws97/xpaMeW8m3/y0lD+nD+OaG15j/8ETPPFAF0oUL8bET+7Nafv3yp3c\nMuSTs55nzNhZnutMPi+M/ZPXHm/P0u9v48TJdEa89yfbdp+gZcOKfD6qK01uGp/TtnObGiSlZPD3\n2oIVpCH9GtEhphoAv6/Yx/0vur7Kz5OWHTnBxJ37eLtVI4L8HN/T8uW2M8nkl+2b8c32fcw9cIQb\nqlekamgwd0VW565cl0V3n7WELIs839eSZM/EyrfN06LaRnPd4H6Mvftp7Ol2mna+hu4PDsrZ/+qN\nQ+g85Nac6kxGup3Vs35n8NvPuzzf+vl/USwslMiYJh6JXy4/xirC7MiGzSKtnxa85cZwvGNn0tkn\nvPmyB8Z49xJjd7GCrszfWfLUy3dC7MUqFdHQ2yG4Rfgjdb0dgtv0iTj7hFlf9UjDristy/L8ZZm5\ntGhZ3/pr6bhLft5i/ld7vW/u5BNXD4mIiIjo3x4SERHxiit/DsqlpqRFRETE43T10IXQ8JCIiIj4\nBFVaREREvEKVlqJSpUVERER8giotIiIiXmBUNygyPWIiIiLiE1RpERER8QrNaSkqJS0iIiIeZzBK\nWopMw0MiIiLiE1RpERER8TAD+nK5C6BKi4iIiPgEVVpERES8QnWDolLSIiIi4gWaiFt0SvNERETE\nJ6jSIiIi4nEGfU9L0anSIiIiIj5BlRYREREv0CXPRaekRURExCs02FFUesRERETEJ6jSIiIi4gW6\n5LnojGVZ59/YmCPAbveFIyIi4nY1LMsq780AjDEzgXJuOPVRy7K6ueG8l4UiJS0iIiIi3qI5LSIi\nIuITlLSIiIiIT1DSIiIiIj5BSYuIiIj4BCUtIiIi4hOUtIiIiIhPUNIiIiIiPkFJi4iIiPgEJS0i\nIiLiE5S0iIiIiE9Q0iIiIiI+QUmLiIiI+AQlLSIiIuITlLSIiIiIT1DSIiIiIj5BSYuIiIj4BCUt\nIiIi4hOUtIiIiIhPUNIiIiIiPkFJi4iIiPgEJS0iIiLiE5S0iIiIiE9Q0iIiIiI+QUmLiIiI+AQl\nLTH0w4QAAAU5SURBVCIiIuITlLSIiIiIT1DSIiIiIj5BSYuIiIj4BCUtIiIi4hOUtIiIiIhPUNIi\nIiIiPkFJi4iIiPgEJS0iIiLiE5S0iIiIiE9Q0iIiIiI+QUmLXHGMMdOMMV/lWl9ojBmbaz3EGPOj\nMSbRGGMZYyJcbfNC6CIichb+3g5AxAN6Axm51gcD7YG2wBHncr+LbSIichlR0iJXPMuyjufbVAfY\nbFnW+tMbjDEFtl0IY0yAZVkZ524pIiJFpeEh8WnOYZ2vjDHJxphDxphnXbTJGR4yxiwE/g20dw4D\nLXS1zdk20Bgz2hizzxiTYoxZbozpmuu8HZztrzfGLDPG2IGuzn09jTErjTFpxphdxphXjDGBuY6N\nM8YMN8Z8bIw56byPp/LFXcIY86Ex5qDzPJuNMQNy7W9jjFlkjEk1xux3ti1xlsfqdLzdnbGdMsb8\nYYwJN8Zca4xZ63wcpxljyuY6LtoYM9sYc9QZ62JjTOt857aMMQ8ZY6Y749ltjLn9fH6HIiLnS0mL\n+Lo3gM5AH+A6oBmOYZ7C9Aa+BJYAlZ3rrrbh3HYtcBvQCBgHTDXGNMl3ztHAcKAesNSZ2HwDjAUa\n4BiO6gu8mu+4x4D1QHPnOcacTgaMMQaY4bz/u4Eo4HHA7tzfCJgNTAGaOGNuCnxxlr6f9iLwKHA1\nUBqYBIwA7gU6OGMemat9ceBroB0QA6wBfjPGlHNx3inOOD4BxhtjWp5HPCIi58eyLC1afHIBwoB0\nYGC+bSeAr3JtWwiMzbU+FliY71x5tgG1gWyger52vwAfOG93ACygT742vwPP59t2E5AMGOd6HDAx\nX5ttwHDn7c7O+69fSN/HA5/n29bUGU+FQo45HW/XXNsecm5rnmvbSGDDWR53AxwEbs+1zQI+zddu\nLjDB288TLVq0XDmL5rSIL6sNBOKokABgWVayMeai5qU4Ncfx5rzJUfTIEQTMz9d2Rb71FkCMMeY/\nubb5AcFAJRxv+ADr8h13AKjgvN0MOGhZ1uZC4msB1Mk9XOSMFxyPy+FCjst/v4ecP9fn23Y6Dowx\nFYCXgY5ARcDm7Ev1fOdd4mL9hrPEISJSJEpaxJeZcze5YH44qgfR5L3yCOBUvvUUF8e+CPzg4ry5\nr0rKf16LM0O25+qbH/AZ8LaLffvPcWzu+3WUSfJOHs4dBziGxSriGM6Kw1HdmocjYRQR8RglLeLL\ntuN4A24F7AQwxoQCDYEdF3nu1TgSh0qWZS0o4rGrgHqWZW2/iPtfBVQ2xtQvpNqyCmhwkfdxvtoC\nj1iWNR3AGFMRx9yf/FqRd05NK6CwSpGISJEpaRGf5RwK+hwYbYw5gmN4ZQSO4YuLPfdWY8w3wFfG\nmCdwJAllcMwL2WlZ1s9nOfwlYJoxZjfwPZCJI5GKsSzr6fMMYR6wFPjJGPMYsBXHpdqhlmX9gmPi\n7t/GmI+Aj4EkHBOBe1qWdV/RentOW4HbjTFLgVBgDM4Jwfn0NsYsxzGHqC+OidFXX+JYROR/mK4e\nEl/3JLAAmOz8uQHHRNhL4W4cVxCNAbYA03BcmbT7bAdZljULx1yOjsAy5zIM2HO+d2xZVjbQHfgT\nmICjYvEOziEZy7LWOWOJABYBa4H/cmaOyqU0GMcE55XAdziqKXEu2o3EcRXXOhxf1ne3ZVnL3RCP\niPyPOn0lg4jIBTPGWEA/y7J+9HYsInLlUqVFREREfIKSFhEREfEJGh4SERERn6BKi4iIiPgEJS0i\nIiLiE5S0iIiIiE9Q0iIiIiI+QUmLiIiI+AQlLSIiIuIT/h/me+dLkWavzwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plan.plot_map(\"difference\", cmap='YlGnBu', fontsize=12)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAisAAAH3CAYAAAB6uh/hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plan.plot_map(\"error\", cmap='OrRd', fontsize=12)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }