{ "metadata": { "name": "", "signature": "sha256:7f21945cb31ba1eae3aa4d51349bd1a0936f7c0cf5c595eb460a7911637f0550" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "# - compatibility with Python 3\n", "from __future__ import print_function # print('me') instead of print 'me'\n", "from __future__ import division # 1/2 == 0.5, not 0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# - show figures inside the notebook\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# - import common modules\n", "import numpy as np # the Python array package\n", "import matplotlib.pyplot as plt # the Python plotting package" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# - set gray colormap and nearest neighbor interpolation by default\n", "plt.rcParams['image.cmap'] = 'gray'\n", "plt.rcParams['image.interpolation'] = 'nearest'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# - nibabel package\n", "import nibabel as nib" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preliminaries" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check the `pna_code` utilities are on your Python path:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Check pna import\n", "from rotations import x_rotmat, y_rotmat, z_rotmat" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Your task..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I have taken a copy of the first volume in `ds107_sub012_t1r2.nii`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - the first volume of ds107_sub012_t1r2.nii\n", "img_4d = nib.load('ds107_sub012_t1r2.nii')\n", "data = img_4d.get_data()\n", "vol0 = data[..., 0]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then I rotated it by:\n", "\n", "* 0.1 radians around the x axis, then\n", "* 0.2 radians around the y axis, then\n", "* 0.3 radians around the z axis." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - the resulting rotated image\n", "rotated_img = nib.load('rotated_volume.nii')\n", "rotated_vol0 = rotated_img.get_data()\n", "rotated_vol0.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "(64, 64, 35)" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are slices over z, y, and x, for rotated and not-rotated images" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# - slices on z, y, and x axis from \n", "fig, axes = plt.subplots(3, 2, figsize=(10, 15))\n", "axes[0, 0].imshow(vol0[:, :, 17])\n", "axes[0, 1].imshow(rotated_vol0[:, :, 17])\n", "axes[1, 0].imshow(vol0[:, 31, :])\n", "axes[1, 1].imshow(rotated_vol0[:, 31, :])\n", "axes[2, 0].imshow(vol0[31, :, :])\n", "axes[2, 1].imshow(rotated_vol0[31, :, :])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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YYHySuTdo+7gs472MVbItjGVTN8IYro/xMubKmkaLFi0qbMZ4ed3MqeBrHkW1\nYKhboJaA11nLr8Rj1+rUmXVfF+PHUR02H1+OapHxWLyf1ObwOv25GM+P8nJEcXH2k9c5cBzyOi68\n8MLCZv2+devWFTaPV8ulQr3Fzp07++4rYqIahBxXUW4Zvz3SHXJ7pOXgOPNtj3QhvA767UhT5LdH\n+jqem36Xz3Gtj/mc8rnkc06fQd3o8uXLC5t97DUtUX44Xhc1YcyFxu/XctNFOkNeF/u8lr+M52K7\n6WMivSyvs6ZPbpoPq/O9gfYSQgghhDiB0YRICCGEEK1HEyIhhBBCtJ4p1xB5rcjq1auLbStWrChs\nr8VhzI96Ca+VMevOwUKb8Ucfr6zlNzCL61PVav+YlbFOFslkfZ1ly5YV9lNPPVXYjHWznpWPVbOP\nGIOPasswbl7L+xEV7aUugbBPI42RbxvbRU1YpDHidh7P33+2s1ajyCyuB1c7N/uUOgTqeqKaSNSh\n+P05FniuWh00EcP8PNHzEmk1vM1ni9oMPjsck7RrY5rjgjqdmv6ol83j+TEZ6aiivGk13RW31555\ns+77RTvSqNRq2bEPonY3zZPn2xpphKiziuqLURfk9VDUMkXtpP+K8lD54/NY/O1iH/ZDb4iEEEII\n0Xo0IRJCCCFE65nykJl/5XbJJZcU2/h6dffu3Z3PfJXnl+SbdS8p5tJSvvoj/tVh9JowWuK/cOHC\nalv9ufi68/nnny9svr5es2ZNYfP1t+8zszK0wXTlfIXJV+s8N1+H83Wrbwv3jUJFXL7L6+I9qS0l\njZY0R8tzuT/7pRYaZDv5mpf3m6Ep9kMttFgrX2Jmtnjx4sK+9NJLC/vZZ5/t21a2g6UJBn3lLAYj\nWiYcjWFfUiHal+EDhu2jsBefPQ+lCTxWtHSebfO+ltfFdrCd7EP2A59NH96JSj9EZY6i8F0tlM7r\noI+hz4jCrbWUJ2wHr5NEcpCav4tKdUXHip4JD/skCrf2Q15OCCGEEK1HEyIhhBBCtB5NiIQQQgjR\neo6rhoix0CVLlhT2iy++2PlMDdELL7zQ97hm8dJSxi99TJhxbNrUlESaI8YvvR0tLayVGDHrXpbP\n7/sl57XYv9ng6cyPwbi472P2P4/NOLnXQJjFy+65vNPvz9gy0+qzD1kehfePGjBPtFSUfc7tjNlz\nu9d9sb+pDeB1UQfElA5btmwpbH8tUQmGWvxeNIf9HenD6M/88xQthWcairGxscKOUlz4ccfnNipr\nRPis0ddvB9rxAAAgAElEQVTWtJ1sF59zPntRupRa6Q6Od+ox+SxSc8e20Pb3P/r9mcpnLxqHtSX8\nZvUUABxXkfaJ5+L95zj28wneD841Ii3UMfSGSAghhBCtRxMiIYQQQrQeTYiEEEII0XqmXEPk47SM\nwzLG6+PiUW6NYXM1+OPV4vNmZvv27StsxlmpMWKc3cdCI60NY7LMGcJyDYyj+1g2dVjUmPA62Ge8\nBzWdTxSjZYyXMXWei5ohtt3H2bmN8LqYD+vpp5+uts23nfeP957xf95P2hxbvh/5fDDfVZSXhTF8\n5tOq5bIhbLcYDt53Psccs3wevE5o69atxbao1MPcuXMLm761lsOFPoNjjD4iytvF43l/yH3pQ/is\n8fclGtP++eFvAPUsbOfrr79ePXb0e+W389hR6agot1Pt+zV9a692Rvn8ahqjSEca/f5w3HK7H3vR\nb1f0G3EMvSESQgghROvRhEgIIYQQrUcTIiGEEEK0ninXEPnY7Pe///1i23vf+97C9vHIV199te9x\nzLrjk8xRwNgnY9s+3sx4I2PTJDo38XlvWPuHx2KcPMqvVMtXwjw03LdWN8ssrsfjY7jUK0U5QSKN\nBLU5CxYs6NvOqK4Q27Z+/frCZj049rlvO/uA94s6hqY12vw9YXyeMXXqTtjH7EM+A/74bFeUn0RM\nLlHdJo4jXwNxx44dxTbmKqOPoX/jGGYeLu+zqBXkGOO4Ybupr+R11mphkahWGanpn/isRXW32G5+\nP9Jl+XNHuivCc0V18fw947lqGq5ex4p0P7V9SXQd7EP6cd+H3DfSv/ZDb4iEEEII0Xo0IRJCCCFE\n69GESAghhBCtZ8o1RB5qNai3OP/88zuff/rTnxbbVq9eXdjMz8NaMtRbME/R2Wef3flcy4dk1h3r\nZByd+zPfi4e6D9YdinJnMAZPfI4R9tE555xT2IyrUsdDvVJNWxPF79knbNvixYsLm7qGWo0dxo+Z\nZ4V18Kj5Yo4KXouPXXMb71ekCeNYYp/W2sXvUo/GMc8+rcX02W7VLju+UIsRaTm2bdvW+exrQJp1\n56viGOS93bVrV2Ezx47/flRzLdKe1Wpf0Y50h9GzF+lj/PMU5W6K7Ci/T5SvzNNU1xP1qT93VC8s\nyv9Hahqi6H5EGiP6Ruot/e8X+4Twd7YfekMkhBBCiNZTnRCllE5NKT2cUlqXUtqYUvrvE/8+P6V0\nf0ppc0rpvpTS3NpxhBBiOpAPE0IMSnVClHM+YGY35ZyvNLMrzOymlNLPmdndZnZ/znmNmT04YQsh\nxEghHyaEGJRQQ5RzPiaYOdnMZpvZPjO73cxunPj3L5vZ96yPQ6nVG/nTP/3Twv7Yxz7W+UzNEPUS\n1Fcw9sm4OfFxV8ZJI80QdSRRrg0fL67l3TCL67nwuhnv93FZ5m3YsmVLYbOPqG+KciL5uC1jtNSH\nPffcc4XN+8u2EuqdfHw6uk7mtGI8n/fXa9nMyvHB+1Or+8Tv9tq/Vl+O9559yvvFcckYPTVifntU\nw8j3f5S/atQY1ocdDzi+a7lkzEod3MMPP1xs43N67bXXFjbHJLUe/L4fJ9EY47jhmOP2mk+p1a7q\nZUf1FNnHfv8olxyvM9IM8Vy0fT/U9JFm3b8Z3J/PYy0vG9sZjYVo/2G0hpFvjDRG/rcvyskW5Xbq\nfC/aIaU0K6W0zszGzey7OecNZrYk53xMFTtuZksGOpsQQhxn5MOEEIMwyBuiI2Z2ZUrpbDP7dkrp\nJmzPKaW+Uzn/5uCkk04K39wIIUaLw4cPh1WvR5lhfZgQYuYyNjbWtcK9HwMvu885v5pS+qaZ/YyZ\njaeUluacx1JKy8ys79n8a35NhoSYecyePbt45T9TJ0fv1ocJIWYuS5cutRUrVnTsxx9/vO++1QlR\nSmmhmR3KOb+SUjrNzG4xs/9mZt8ws7vM7C8m/n9vv2P4mOT1119fbLvwwgsLe926dZ3P//zP/1xs\nu+222wqb9XoYb2R9H+bg2blzZ+czY9HMv+NzFpnFGgrGRv1bMsZon3322cJmzH3r1q2FfdFFFxU2\nr8vn92G7mYtpw4YNhU1tzQUXXFDYtTwgPPbY2FhhU1dF7ROPzTwd1Af4H+h9+/YV29iH0USceYt4\nbmp5PJGmKKrPU4ttsx1RDhG2k1oq6vB8v0S1nGp9MMpMhg87HjAvF/VixI8zauQ2b95c2NTp0Gfw\nXBwL3j/yWYo0QhzD9BPc3/tK+qNIKxPlrak9L2xnpJWJanrx+2yLP3f0B0Ytf1Kvc/H3zLeN343a\nHdWzrPUT28E+jnK61WrP0aa/4rkijWrnmMH2ZWb25ZTSLDuqN/pKzvnBlNJjZvYvKaXfNLOtZvbJ\ngc4mhBDHF/kwIcRAVCdEOef1Zva+Hv++18xunqpGCSHEZCAfJoQYFGWqFkIIIUTrmfJaZj7WzRo7\n1Djcf//9nc9/+Id/WGyjHoZ5b6hxYJ4bxp9ruWUYf2SMncdi/JKxTx+/ZLz4qquuKmzqly6++OLC\n3rNnT2FTs+Lj6GxXdB08F+HxfMw3qqezZEm5qpn5d2r138y6Y9+0B91mFsf/qa3yugdquKihYJyb\n94djq6YtoG4qioNTh8Lni9ftzx3Vohs0j4eYHPisEe+/+BxTQ0SN3bnnnlvY1HLOmzevb1t4rqh2\nX5Qfjn7cj7NozPHZiXKC0bf65yHy4ZHWhtsjf+V/B6KcRoQ+JKpD6K8l0jhGuX9ITedDH897H9VJ\n429lTc9E/RjH1TPPPFM91zH0hkgIIYQQrUcTIiGEEEK0nikPmfnXXuvXry+2Pf/884X9V3/1V53P\nDK9x+Xn0mpCvQF966aXC9uGIaCkiX80yvMDtfDVbaxeXQvM1IfuBrw15Lv9akkvf2Udr166tto1L\n5XkuvyyWx+ZSdsLr4nJchvdq5TfYZ0y5sHfv3sLm/eP3zzvvvML218LQYG2Jsll3v/BctaXDfDXO\n190MoXGZMsfWiy++aP2IQmYc42JqYQiglgaBYdxbbrmlsH/wgx8UNsPul1xySWEzZObDDxyDCxYs\nKGyOb/oMpttgaMOHQfjdqMQSw3nRs+b9fNOyETx35Bf4m8Jn1dMkBGYWh+/8/k1Lc/BcbEstvBdJ\nF5qG4dl27x/5fHC+wDByP/SGSAghhBCtRxMiIYQQQrQeTYiEEEII0XqmXEPkY5CPPvpose2LX/xi\nYfsY8KZNm4ptLNXxwgsvFDZjm9S/EB9/rKWPN+teLsjlhIyVMv7vtRyRPonfpQ6IuhCmI2CM3sN4\nfxTDpY6H/eTvF2PNjPdGafWp8eI9qGmtqFeiBoL6o+i6qc3xS+s5znid1OJw6Xy0PNdDXRXvLZdT\ncyzQZryf1+KJUvSLqYXPw6JFiwrbjyM+Ww888EBhb9u2rbCvueaawl68eHFh83hey8PnlnakeyPc\n7n0Kj80xGJW8aLqU3sPnMtLa8LmPSn94m9uiZy3azvtHH+Xhbxv3jVLM8H77scLrijRFUR/XUjaw\nBFZUEqtvGwbaSwghhBDiBEYTIiGEEEK0Hk2IhBBCCNF6plxD5OO0TBnPXAwvv/xyz++ZdecsimLX\n1G4wfuzjz7X8FL2I8kSwbf54jMkybkqtDLczjkqtge9TlsOIYui1NPq92lKLTUf5d5gThzHeqJSH\n19ewTzkWeCye+8wzzyzs7du3F7bXFDEOvnTp0sLmuItKGRDf51EulChHCDVEtRxJ0VhQHqLphc+e\nv18cz7xX1B9xzFITSW2af3Y5hph/h9+l5oTXQf2f/z41c1FZnEi3U8vPQyIdDm36hUhT6bfzunis\nKHcQ4f1skoco8vm1Uh1mpe40+h2Ncp/xN4P94stxsEwRvztoziO9IRJCCCFE69GESAghhBCtRxMi\nIYQQQrSeKdcQ+RjykiVLim3Mf+H1F1EOiihfQhMYX2T8mHlpqBPhdsaufayU7aZWI9JCMSZ/6aWX\n9m0L67mwj6jhYnyY+gCe28d0azFys+a5NXbt2lXY1EH4PFPsM7abWppzzjmnei7qfry+ibmBohh8\nVDeN+bJWrFjR+Ux9GM/F6+Y9iGqd+f15b2v5lYZ51sS7o/YsRnUc6Us55vjsXXjhhYXt8xjRX/Hc\n1ONF+XlqmkqO3+i6onHJZ9OPcfZvRFP/xv29TW1MpEci9Ffc3/cp2xn5L/qYKPdTTRfE31XCc9Nm\nbkKvK2a7Ip1VP/SGSAghhBCtRxMiIYQQQrQeTYiEEEII0XqmXEPk44asP8acFX7fKFYZxSMZE+bx\nmP/Cw7j43r17C5uxax6L8UsfV41i1ZFmaO3atYXN+mReD8NrZkye8WTGrqPt3o7yVdRyFpl1101j\nLJraBb8/28nYM7UFy5cvL2z2U63uDdvBXCmRBszX+jHr7pfdu3d3PrO/ozws1BKwLTyev25eM8e0\n70Neg5h6arlpeJ+jMbp+/frCXrlyZWHzeN4HRfeeOXDopznOarqfSK/XNB9c7TeDPiPKFxblAIt0\nQDVdUNP8PewH+jN/P5vmHeJYoK+t6ZWiOmg8N/Vnjz32WGGzPpm/v5HOKvr9OYbeEAkhhBCi9WhC\nJIQQQojWowmREEIIIVrPlGuIvP5mfHy82EY9jdeFjI2NFdsuueSSwt6zZ09h79ixo7CZc4X4OGuU\nhyiqqRPlf3n11Vc7n6MYLGO2a9asKWzW5WIfes0KY7aMc0d6Jn6fsWm/nboF9hH7lHoXwvg/bR+j\npy6B95Pt5v2M8l/U9ATUl0Xx/6jGjh8f7MMo3k/NBfVL7EN/XdSG8Nw8lji+cMx6H0MtZpQTh/US\nvX8y637uFy5c2PnMccLxzOecNscgz+3HHfVI1KT4dpl19wN9KZ8X36eRBpI+IMpDxOuu5dGL9EaR\n7of3q6bViXI11XLNmcX9UMv/w7HCPlm3bl1hP/nkk4XNtvuxEt2v6Jk4ht4QCSGEEKL1aEIkhBBC\niNajCZEQQgghWs+Ua4h87I7amv/4j/8o7E984hOdz4xlMgbYpM6WWXdss6afYOyZegrmzGFtILbN\nx8lr9aTMzJYtW1bY559/fnX/zZs3F7bP9USdDuOqPBZj04zL1rYzb00Us+W5oz7ndq9FYGyZdqQp\nimLytX15nexj7s9noFaPjP0f5fFgbcDvfOc7hc1noqZ34hj245bjXRx/as9XlJOFmjvWiPL19MzK\n/DAcQ9yX9Spffvnlalv4nPscYXxO6Xd5nfStPHbN/0U6RD579DF8XiL/VqtlRiKtJ/VK/K3zNn8T\neB3s0ygfHPvU34OlS5dWj7Vhw4bCfuqppwo70i36Z4DXzD6Z1DxEKaXZKaXHUkr/NmHPTyndn1La\nnFK6L6XUP8uhEEJMM/JhQoiIQUNmnzOzjWZ2bPp4t5ndn3NeY2YPTthCCDGqyIcJIaqEIbOU0koz\n+y9m9mdm9n9M/PPtZnbjxOcvm9n3rI9D8a8a+crsnnvuKezzzjuv8/mKK64otjGsxWWotaWiZvXw\nEVOC81UdXwtyexSC8ctHuY3t4na+RuTSUvZDlG7Aw3ZHr9prqe+jdAJRuIavhaOyIf71edRujjse\nm/1QSzkfLbeN0g2cffbZhc2x5fevLZPvdW6WZGCpnFoIjn0QvaafSQzrw0YRPxaicguEvvThhx8u\nbIbBrr322s5n+tV58+YVNtOl0D/xOWaqCN92hjlqy67Nup+tKJTuvx+ltKCfZrv5rDJUyP398xa1\nk21hHzKMxbC8f+7pA6L0ACSSXfjrZLsokaF/inxOzf9xG/1ZLR1Asd8A+/wPM/sDM/NXviTnfCyp\n0LiZLen6lhBCjAbyYUKIkOqEKKX0UTPbnXN+zMx6Th3z0Sln/U90IYSYBuTDhBCDEoXMrjOz21NK\n/8XMTjWzs1JKXzGz8ZTS0pzzWEppmZnt7ncA//ov51xdwSOEGD0OHTrU9Qp6BjG0DxNCzFwOHz48\nsP+qTohyzn9sZn9sZpZSutHM/s+c850ppb80s7vM7C8m/n9vv2P42OysWbOKWB8nRw899FDnM+Oo\nN910U2EzrTtjiPz+zp07C9vHWRnfZZyVsVBuj9KX1+L9vFGMRXM5KPVLtaWljIsz3k+9Ea+zSeqC\nWlkPs+4+ipZB8v6yrbWlqryftWWoZt3x/tr+0RJZjsNI91OL6UdLfannoN6sSdqEWumC2bNnF9/l\nOBllJsOHjSL+HjQpU2QWpzB55JFHCtuXC/rQhz5UbKP/ocaR/oxt5XPux1mkE+UyfO4f+U7/PEVL\n/KPtvA4+I7S9JonXRQ0Yn/tIx8M+9/coSmdCrVSknar50h//+MfFtueee676XeqZouusaUf9tpRS\ncd01rVLTxIzHzvLnZnZLSmmzmX1owhZCiFFHPkwI0ZOBEzPmnB8ys4cmPu81s5unqlFCCDHZyIcJ\nIWqodIcQQgghWs+Ul+7wcUHqLxif9DksmBvo8ssvL2zGE6kRYgkMxhuff/75zmfm5SDM68DYJuOy\njOH664ziwfxuVPqBcVd/nYyZUzsQlYJgTJ73yxOlySeMuTOeHLW1lnafRHk6qAdgjNn3Q5TjJSrr\nwnHL3Cl+O/uQ5VE4pjl2opwiNQ1RFN8XowPHAfUuUR4uPvc7duwo7AcffLDzmTmKLr300sKu5Qsz\n6y4vw3G2a9euzmc+K5Efph/gc8/r9ueO8hBxO38z6Bvp32p6pigXEPuQzzn9FX2UvydRzjz6GGq+\nXnzxxcLevn17YftyHMxJRXidUd61KN9c7diDojdEQgghhGg9mhAJIYQQovVoQiSEEEKI1jPlGiIf\nS6WegnG+V155pfN569atxbaNGzcW9jXXXFPYjNFy/1oMmHFT7svcC4zZMo8Nv+/tKP8Ov8s4Krcz\nXlyr2cL4Mb/LY5955pmFXdPW8LyMPUf1eBgfpu6hVkMsygPFGD2PzRg99Ur+unnslStXFjbvL4+1\ne3eZ/499WtM18Ngcd3wGeGz2Q+26ojpSYnSgH+W9ow+JfAb9xJYtWzqf//Zv/7bYdueddxb2ZZdd\nVj0WdYkLFizo2zZeF9tNHQ+vO6oTWcsvFvkUnovfZ1upZ6o9T/QZzB/H+8nfJ/penxuKvo8+ntf9\n+OOPF/a6desKm/XIfL9EOiz2WaQZqt2T6BkYFL0hEkIIIUTr0YRICCGEEK1HEyIhhBBCtJ4p1xD5\n3AKMdTKu6uPN27ZtK7Z9+9vfLuwlS5YU9oUXXlhtB2PXNQ2Kr91j1h1nZc4jxrJrehjG1JmXg7Hl\nl156qbCpd2G82OtCqI2ifqWWl8Osuy4R84D4fopyY1C/UssrZBb3qe9Hxut5bmoJGLvmuRhn923j\ndXjdm1n3/eDYYVtrdaYWLVpUbGMOEI6NKPcGz+Xvd9MabGJ0iTREHMMco7Wahj5PkJnZV7/61cK+\n8cYbC/tnfuZnCjuqSejbVhuvvdrNY1FTx3P75zzK4UWfQj9NXxvlVfP5x6I6nPTD9J3UEtLPez/N\ncz3zzDOFvWnTpsJmLiH2U+23jufi/Yxy1UUaoiY+adB99YZICCGEEK1HEyIhhBBCtB5NiIQQQgjR\neqZcQ+TjodQQMc7q9RXUdTB2/a1vfauw/+RP/qSwfe4Ms+64ua91FtXNok6EcVRCfZOP8TKOzTwc\nvE7qdqgPYLzft521zKI6Wnv27Cls6q6orfJtZe04fpfXwfvLPmd8mTogH4/mdVEDRC0BdTy8J7Uc\nIWwXxzDbyWNR98B75L//2GOPFduefPLJvu0y69ZQRBoxr4uI6lt5WzmJRovaGBpkfz579JU+lxy1\nNNRTfvOb3yxs5rG57rrrCnvt2rWF7X8jojxDfG6pMYnqqvnjc/zXcnaZxTmO2Bb6HP8bwmPRVxJq\nB5977rnC5v31x2Of8rft1VdfLeymOaz8dbH/SdPcQVEf19olDZEQQgghxIBoQiSEEEKI1qMJkRBC\nCCFaz5RriHycjxoVH5s26459ehiP/MEPflDY3/3udwubtc6efvrpvudivLGmtTDrjmVGuYGYR8IT\nxWgZV2XclDFh//0oFk2tzd69ewt79erVhc1+qeWcILy3TfUu1G35a6OOivF/2uxjXjf7zX8/0oDx\nOpl7Y8WKFYXNsfGd73xn4GNFteg4dvj9JjX2+F0xutS0FWbdzyrHPzUt3o50IdQObtiwobCjmpQf\n/vCHO59ZJzDKFcTxzzxetfxM/C2KrjN6ttg29qn3KWw3a37SDzDvEHMF8X76fqPPpx3VgeR1854M\n4ycinQ+3R+PcE/0+HUNviIQQQgjRejQhEkIIIUTrSU1eOzU+eErZvyqMXnH6Zd0Mg3CpL22+2rvj\njjsK+9d+7dcKe/PmzZ3PDDvx3FyaGIXY+Bpy69atnc8MuTAVAV9BRv3AV5R+CS2X0/LcXGLJ18QM\nHXH/hQsXdj7ztS5fUbKPayEws+5Q0tKlSwvb93kUMuNrfJ6br7N5Pz28LoZLGULjdbMtPkRmVr6S\nZjujccbQbpNX0FFafL/9rbfespzzCV/LI6U0dc5xComW3ZNa+QXCkAmfW/r0qNQD/de5557b+XzB\nBRcU21gGhGEuPotRqg/v7ximYrv53PNZY7/wHsybN6/v99etW1dsYzkNLrNnW+nXa899tNSd96Np\nCCwKvTehiU8iNQnGm2++2dd/6Q2REEIIIVqPJkRCCCGEaD2aEAkhhBCi9Uy5hsjrORibrpXMYJkI\nalRqS/TNuuOLXO782c9+tvN58eLFxTaWeuAyR8aTo/iz1/0w3suYK5dQLl++vLD5fa9PMitjpYzn\nM67NdjPGznOzX/z9jFIT8F4zLs57sHv37mrbffy/pnkw69aA1cqA9Nrujx+VeaEmbP369VWb/ebH\nLfuQUE8W9XmT+D7HuD/W22+/LQ3RDCLSFNU0c2blmKRfpT+ijof7c1xRt+jtqF0sF8Rzz507t7Cv\nvfbawvZpK5jCgmWN+BtA3SL1SixpwpJMPv0AfR19AvuIbaX/4/7ev0W6Qn6XPiP6vt+/6TL6yD/V\njhfpjTwHDhyQhkgIIYQQoh+aEAkhhBCi9WhCJIQQQojWM+UaIh/XZYwwihF7zjzzzMJmDJd6F+p4\nmEPHx2lvvfXWYhvTyTO3TJSHiPqYHTt2dD4z/hvlAuK5eb8Y2/aaFrYrypXBc/NcW7ZsKWyfGyjS\nKTA3EPsoysdUS71ODVAUT2b+kmHKVjBNPrUCL774YmFHuYX8+KBGiNcxbDmNJnk8/LneeecdaYhm\nEHw2eW8jrUcN6tb4nEfnpl7G21HeGT630e8Lfa8v7cFz8fcm8k/UY/L3iX7ef586RF4H+6gp3q9P\n5e89GabUxrs5fu1c3q5pIPWGSAghhBCtZ6DirimlrWb2mpkdNrODOeerU0rzzeyrZnaumW01s0/m\nnF/pexAhhJgG5L+EEIMw6BuibGYfzDlflXO+euLf7jaz+3POa8zswQlbCCFGDfkvIUTIQBqilNLz\nZvazOeeX3b9tMrMbc87jKaWlZva9nPMl+F6hIYpi101q6DBPBGO2zKnDnBQ+hkstBnNK3HjjjYV9\n5ZVXFjZzcTBfj29rFHtmTJ7x46imDnUnHvZJpE/i/eH3/f7UDvA6uZ3t5nba7FMf42e7ee7x8fHC\njnJaMW+RzxPCY1OXQN1CVCeqljOEx+K+kUaMcHvt2ec48+PyjTfemFEaomH813Fu6pRA/xQ95xwn\n/t5HupCmdR5p+3OzHZHGkW3j/k1qfPG71PlEzybbTn/m9Zf8bWItM/r0ptopv72pz4j8We0eDKsZ\niu6vt5vkWJsMDVE2swdSSo+mlH5r4t+W5JyP/dKMm9mSgVskhBDHD/kvIUTIQBoiM7s+57wrpbTI\nzO6f+OuqQ8459/tryv/FO3v27DD7rhBitDh8+HDXX8AzjHftv4QQM5sjR44M/AZpoAlRznnXxP/3\npJTuMbOrzWw8pbQ05zyWUlpmZrt7fde/ahxmeacQYnrgHzLDLvc/3gzjv4QQM5tZs2YVob9aCpdQ\nQ5RSOt3MZuecX08pnWFm95nZfzOzm83s5ZzzX6SU7jazuTnnu/HdzPwNntqsLdJLcDt1P9R28M2U\n/36kw4niqCtXrixs5jXy+S6Yj4KxabJw4cLCZiya+hevSWKfEF4n+3Tbtm2FvWrVqsL2OXjY35z8\nzps3r7D5o0otwde//vXCZq0zrxnbtKn4g7/rXlMTxLbVHhCzUgMWxeCj64pqOdWeR27j2IlyvNT0\nH5E2xF/Hvn37ZoyGaFj/dfxbPPmwxlfTPER+zEe5gHisyHfy+36c8TmmHWnimtqeKIcRn9voN4Nt\n9b6Z2szobUaT6yDRvR5gPvCuz9W03U30TZGuitq0fv5rkDdES8zsnomLm2Nm/yvnfF9K6VEz+5eU\n0m/axLLVAY4lhBDHE/kvIcRAhBOinPPzZnZlj3/fa0f/yhJCiJFE/ksIMSjKVC2EEEKI1jPltcx8\nDowodl3LQUGb+gnGl6nVoJbD60Jef/316nepxaFOhDoenuuiiy7qfPb5J8y6tTG8Lt4ftoU1wXx+\nHvYZ85Ewzs26Q2zLAw88UNj+Wi644IJim6/fZtatR4pyA/ncP2bd99fD+8W8Hvwur4u6LN4/Xy+O\n7SRNc21xu9ciRCsyI81QpLvzbYnyqPhzHThwYMZoiIbhRNEQEdby4zipaewi3U7TvDXD6F9oR76z\n9hsR6Qj53abXFWmtavsOyzB9HN3fWlsjvVGk5Yz60G9v2meqZSaEEEII0QdNiIQQQgjRejQhEkII\nIUTrmXINEXNgeKinqMUEo3o7EbVYKDUkUW0z1rPisXk8Hxvlsfld5m3isXjdrEdWy2vEfZmfh7k0\nqJepba/V5Oq1nbFoxo953bwur4OI6qhRG8X9WU+OddO8NqdW58mse5xyO/ullh+Lzw6/yz4ktTpR\nZvW6d8Rf1/79+6UhmsFE+cmG0YU01QjVcgtFx4o0dpEuyNM0N9Nk5utpUh9skHNNpmYoakuTtkb6\nsyM0gYMAACAASURBVCY52YZFGiIhhBBCiD5oQiSEEEKI1jPlITP/erbpEk0PwwVRyQu+fqstuYzK\nK0TLO3lshlz8Uniei2EphknYlmjZo+9DhkR47mipNfevLWtlGCpKfR+l+Oe5aqny2f9cfs7rYkiN\nY6sWruUYjdI7RMvua6+Jo9fR0bGi5dT+++yz2rh76623FDKbwTD9BqnJE6Kl0lHoaSp/b0jT0NNU\nUuuXqA+bHpvU+nyyy2vUUuccz3sfoZCZEEIIIUQfNCESQgghROvRhEgIIYQQrWfKNUR+yTPPVVt2\nH8V/o2X3TZYLRtqmaIl4tLzZfz/SNrGd3N/rkcy69TArVqzofN63b1+1XbX+77U90hR5Is0XtVPR\n/WU/+HvAPhg2Jl97JiLdWzRWSE1bEMXgOXZqS5jN6ukJmmrTpCE6caCmqInmJNI4kshv157VYZe6\nNzn2ZOuPmvz+DKO17XWuJvB+8n41SWUwykhDJIQQQgjRB02IhBBCCNF6NCESQgghROuZcg2R1y1E\nOSpquYGidja9jlpujUiLEWk5ajHgKAYfxY8J2+bzGEU6Hbab56Jup6YZ4r6EOoX9+/cXdpQLqqYL\nir7bNP08bX/dTdPLR2M+Gg+1fSPtGttau/+RNsDvqzxEJxbMfdbEl45Srp8mOjiz4fRKTXU9TWiq\nl4363D/bkUaoLUhDJIQQQgjRB02IhBBCCNF6NCESQgghROuZcg2Rj08zXlnTsLAOV6TTaaoTqdWn\niuLDUb6e2rmb5k+q5TTqhd8e5eOJ8tQwl1CtX5r0d69zN9Vl1bZFeaSiml/D1P6J9m/Slqb6jKiP\na99vcv+kITqx8LnimtL092Mya501PVbNHiaHUa9jN7mupvrYWv2wXrboRhoiIYQQQog+aEIkhBBC\niNajCZEQQgghWs+ceJfhqMUzqXHxmpUox8qw2id/vEgDFOl4mtTzaaoRGibfRaStifItRdfpNUdR\nzZtIS0Oa6Geidg57bp+HKNJVkSiez3tQa0dkR3Xxasef7Dxf4sRhKrU2w+wb+YjJzBU0mZpVs1I7\nGGmA9OwdP/SGSAghhBCtRxMiIYQQQrQeTYiEEEII0XqOq4YoqqXlt0c5JgjjxZEOyNvUnLBmV9Nc\nMjUiXU/U7kgn4o8fHZs0zQ3k9TRRzpsmOXF6nbu2PeqTppqiWry/aY6qppoxv515od55553qdzkO\nm+Tums4aVGJ6OXDgQGGfcsopA393KsdNU13OMDmNmuai47PFZy+qGSZd0Ggy0BuilNLclNK/ppSe\nSiltTCl9IKU0P6V0f0ppc0rpvpTS3KlurBBCNEX+SwgxCIOGzP6nmf17zvlSM7vCzDaZ2d1mdn/O\neY2ZPThhCyHEqCH/JYQICSdEKaWzzeyGnPPfm5nlnA/lnF81s9vN7MsTu33ZzP7rlLVSCCHeBfJf\nQohBGURDdJ6Z7Ukp/YOZvdfMfmJmnzezJTnn8Yl9xs1sSa8v1/K01HQ9kdYi0mqQWoy4aa2YKN5M\natooEuWtadKWWo4bs+649zC5NSK9SnT/muqd/Pam8fno2LV+i+5P0+usjeMo51GkL6OOocl1Nc1p\nNMIM5b9EyVRrXyYzT9Ew56VvjPKsiRODQUJmc8zsfWb2tznn95nZfsPr5Xx0NEklJoQYNeS/hBAD\nMciEaLuZbc85PzJh/6sddTBjKaWlZmYppWVmtrvXlw8dOtT5T1V4hZh5HD582A4ePNj5b4YxlP8S\nQrSHMGSWcx5LKW1LKa3JOW82s5vNbMPEf3eZ2V9M/P/eXt+vhXBqrx2bvg6NQmi1UEXUrmFTxPvj\nDRPWMGsWMotCf1N5rmjZPculREvja0T3umnbmhCN06g8Sm05b7S0NwppNjl3bQzPmjWrOFaTNBPT\nzbD+q43Unr1hw1RNnuvJTM1hVg976Y91YTZ4HqL/3cz+V0rpZDPbYma/bmazzexfUkq/aWZbzeyT\nU9JCIYQYDvkvIUTIQBOinPPjZvb+HptuntzmCCHE5CL/JYQYBJXuEEIIIUTrmfLSHbUl6dzmY7rU\nmES6kEgfU9NfTPZSauph/LVE7Wy6ZLymE4l0OZG2pkn5lOj+kGjZ6mSm4R+mfIaZVfUzPDbHLUXI\nTcoNRMvuSdPyKLXUE8P0v5jZsJTHqaeeOvB3o3EzTEqMyOdH2k8hIvSGSAghhBCtRxMiIYQQQrQe\nTYiEEEII0XrSVMZZU0oK4gpxApJznrG1PAZF/usoXkM06O/FkSNHbNasWaFmjrqfWm4gaYLEZNHP\nf+kNkRBCiElFiQ7FTEQTIiGEEEK0Hk2IhBBCCNF6pCESQjRGGiIhxEyln/+a0gmREEIIIcRMQCEz\nIYQQQrQeTYiEEEII0XqmdEKUUrotpbQppfRMSukLU3muAdry9yml8ZTSevdv81NK96eUNqeU7ksp\nzZ2Gdq1KKX03pbQhpfRkSumzo9C2lNKpKaWHU0rrUkobU0r/fRTahTbOTik9llL6t1FpW0ppa0rp\niYl2/X+j0q6JdsxNKf1rSumpiXv6gVFp26gyKj5M/utdtW2kfdgo+q+JdoykDzse/mvKJkQppdlm\n9n+Z2W1mdpmZfTqldOlUnW8A/mGiLZ67zez+nPMaM3twwj7eHDSz3885rzWza8zsdyf6aVrblnM+\nYGY35ZyvNLMrzOymlNLPTXe7wOfMbKOZHRPCjULbspl9MOd8Vc756hFql5nZ/zSzf885X2pH7+mm\nEWrbyDFiPkz+qyEzwIeNov8yG10fNvX+K+c8Jf+Z2bVm9v86+24zu3uqzjdgm1ab2XpnbzKzJROf\nl5rZpuls30Q77jWzm0epbWZ2upk9YmZrR6VdZrbSzB4ws5vM7N9G5X6a2fNmtgD/NgrtOtvMnuvx\n79PetlH9b9R8mPzXUO0aKR82qv5r4twj58OOl/+aypDZCjPb5uztE/82SizJOY9PfB43syXT2ZiU\n0mozu8rMHrYRaFtKaVZKad3E+b+bc94wCu2a4H+Y2R+YmU+JOwpty2b2QErp0ZTSb41Qu84zsz0p\npX9IKf00pfR/p5TOGJG2jSqj7sNG6t6Nmv+aaNOo+rBR9V9mo+nDjov/msoJ0Yxaz5+PTjGnrc0p\npfeY2dfM7HM559f9tulqW875SD76unmlmf1vKaWbRqFdKaWPmtnunPNjZtYzn8Q03s/rc85XmdlH\n7Gj44IYRadccM3ufmf1tzvl9Zrbf8Hp5up+BEWTG9MV037tR9F8T5x45Hzbi/stsNH3YcfFfUzkh\n2mFmq5y9yo7+hTVKjKeUlpqZpZSWmdnu6WhESukkO+pMvpJzvneU2mZmlnN+1cy+aWY/MyLtus7M\nbk8pPW9m/2RmH0opfWUU2pZz3jXx/z1mdo+ZXT0K7bKjz972nPMjE/a/2lEHMzYCbRtVRt2HjcK4\nGnn/ZTZyPmxk/ZfZyPqw4+K/pnJC9KiZXZRSWp1SOtnMPmVm35jC870bvmFmd018vsuOxr+PKyml\nZGZ/Z2Ybc85/PSptSyktPKbYTymdZma3mNlj090uM7Oc8x/nnFflnM8zszvM7Ds55zunu20ppdNT\nSmdOfD7DzD5sZuunu11mZjnnMTPbllJaM/FPN5vZBjP7t+lu2wgz6j5s2sfVqPqvibaNpA8bVf9l\nNro+7Lj5rykWQn3EzJ42s2fN7I+m8lwDtOWfzGynmb1jR3UBv25m8+2osG2zmd1nZnOnoV0/Z0fj\nyOvs6MP6mB1dTTKtbTOzy83spxPtesLM/mDi36e9z9DOG83sG6PQNjsa51438d+Tx8b8dLfLte+9\ndlRY+riZ/T92VKg4Em0b1f9GxYfJf72rto28Dxsl/zXRhpH1YcfDf6l0hxBCCCFajzJVCyGEEKL1\naEIkhBBCiNajCZEQQgghWo8mREIIIYRoPZoQCSGEEKL1aEIkhBBCiNajCZEQQgghWo8mREIIIYRo\nPZoQCSGEEKL1aEIkhBBCiNajCZEQQgghWo8mREIIIYRoPZoQCSGEEKL1aEIkhBBCiNajCZEQQggh\nWo8mREIIIYRoPZoQCSGEEKL1aEIkhBBCiNajCZEQQgghWo8mREIIIYRoPZoQCSGEEKL1aEIkhBBC\niNajCZEQQgghWo8mREIIIYRoPZoQCSGEEKL1aEIkhBBCiNajCZEQQgghWo8mREIIIYRoPZoQCSGE\nEKL1aEIkhBBCiNajCZEQQgghWo8mREIIIYRoPZoQCSGEEKL1aEIkhBBCiNajCVGFlNJtKaVNKaVn\nUkpfmO72CCHEoMh/CdGMlHOe7jaMJCml2Wb2tJndbGY7zOwRM/t0zvmpaW2YEEIEyH8J0Zw5092A\nEeZqM3s257zVzCyl9M9m9gtm1nEoKSXNJkVPcs5putsgWo38lxiKNvowTYj6s8LMtjl7u5l9gDud\ndNJJdvLJJ5uZGd+2zZpVRiRnz57d87OZ2YEDB8zM7J133rGTTz65aztJqRyrPNehQ4fs7bfftlNO\nOaXruwcPHizsU089tbp91qxZxbHYtkOHDnU+Hz58uNous/+8xl7b2Ye8Tn/8Y+041rYjR450nctz\n0kknFTb3P3z4cNG2OXPmVPf1+H1ff/31ajuEOA4M5L9qnHHGGYXNZ7FXdOHY88N9CZ977p9Ssrfe\nestOO+00M7PO//t9v+aDjvnWfv4wuq5e2/2xvG+I/BnJORc+p1c/1Gxy4MCBgX+Par71zTffrJ7n\nREUTov4M9NfTsR9Rs6MDLprIiBOPw4cPdzlhIaYZvf0RA3Po0KGuP4TbiCZE/dlhZqucvcqO/pVV\nMHv27M6MvNc2z7GJk1n5RqEXfCPB2X5kz5o1y3LOduTIka43IyT6MT9y5EjnWL329395sC/4V0j0\n0LHP2A/++MeOffDgQZszZ07XX0Bvv/129Vi0Z82aZSmlznH8X53EX9ecOXOKdvv7LMQ0MZD/8vCN\nUO1NsFnpc449DzlnyzmHb0ro/+g3Fi9ebGNjY7Z06VIz+8+3PMeoPWN87o8d+9ChQz3fXjV5+3ts\nu//j119b9Eao15v92h/STd9e+X+L7oG3Z8+eXexf830nMlpl1p9HzeyilNLqlNLJZvYpM/sGd5rs\nN0KTebw2HMssnlw2QW/4xAnCQP5rspnM5+c973nPpB3LrDtkPgyj6nPkv4ZDb4j6kHM+lFL6PTP7\ntpnNNrO/67VCQxOi6T2W2eg6OiGmi0H912SjCdGJc6w2ot6rkHP+lpl9a7rbIYQQTZH/EqIZmhAN\niY/D8i8QxqJrseamKwIItTl+NUW0+orH5koMXkd0PA9j/TwX/6LhdXB/ryWoreLrRbRig9flj8f7\nw33bGnMXJw5Nn5/aKswIHuv8888v7N27dxf24sWLC5u+1q/s3LFjR7GN2ijqlahP4rPca2Wa5403\n3uh7rEF0i55h8wL6fo1+Y5quYGsD0hAJIYQQovVoQiSEEEKI1qMJkRBCCCFajzREQ+JjwNTa0O6X\nr6gX1NJE8f1aFmbGjtkuxsi5uoOZl2vaKMaho+zQzBkSaYpq2qiaBsisWxvA+H0tnh/lA/Hteuut\nt0yImUaUj6xX1vl+RJn0mR2fz+71119f2MuWLasef2xsrPP5rLPOKrY9/fTT1XPRT7Bt9Ek1+9VX\nXy22Rb4g0gxF2qyaJkl1SpujN0RCCCGEaD2aEAkhhBCi9ShkNiT+tWSUFKv2CjN6jUuiEhe1Jf7R\nsvro1XntOhiWYpiQ7YyW4RPfNu7LPomWkTa5Tl7HZC+XFWImw2ePzwefnwULFhT25ZdfXtgXXHBB\nYc+fP7+w+ez7kBqXvm/YsKGwGYanRIBhfr+s3qwuheB3Tz/99Oq5eSzKE6Kl8VE6kNp3o/JQbURv\niIQQQgjRejQhEkIIIUTr0YRICCGEEK1HGqIh8XHZaBl4TdPCmHikKYrKadSWX0blNBgzJ9QH+HNz\nW9PSHdyf+GuJ0hpwSX90buqffJ+zXdIQiROdqPRD7bnnvtTWcGk7n82ohM/cuXMLe+XKlZ3PXPru\nl+Sbdet0eKyLLrqouv+6desK22uWojIf7Afa9PNcts9+aVIyJUqFEGkq24DeEAkhhBCi9WhCJIQQ\nQojWowmREEIIIVqPNERDEuUL8vh4L+O5Nf2KWXduDW6nHsbH8BmnPuOMMwqbmiFqb6KSIz4Wfdpp\npxXb9u/fX/0utQZR6Q5/LewzxsAZI2efR7mc/Pd5rqgcihAzAebg8UQ5b/zzE2nouH316tWFzWf1\ntddeK2xqjqit8dqdVatWFds+/vGPF/Yrr7xS2MwVxDIh9AuLFi0qbO8/6b927txZ2MyJ9OabbxY2\nfW1Tban3U5HOlDQpzXKioh4QQgghROvRhEgIIYQQrUcTIiGEEEK0HmmIhsTHZakzqdWhqeXy6QXz\nWzAmz3OtWLGib7vGx8erx6LGKMox4nU+Z599drGNNYuoKaJ+ifl+ajqfKHdJVBeNWqlaLTQei/F5\n5SESM50oT1dN90gfQd0itUqLFy8u7Hnz5hU2tTXUFPH7/nxnnXVWsY110ajH3LNnT2FH2pv3v//9\nhe19HPVI9L0PPfRQYT/33HNVe9euXYVNLRX9jvenkU+Kapu1Eb0hEkIIIUTr0YRICCGEEK1HEyIh\nhBBCtB5piIbEx5sZR2e8t5YjIspnxHgvY9XM6+FzbXBfxtQZt2Z8nrkxGIP310ndAfuEbaHWIMr3\n4/tp3759fdvR61jUGEV5iPy5uS2qmybETKCma4y0NP754Xf5bFEDSS1h5HOoLazlbWNbeC76HOqT\nomedtdLOPPPMzmfmR6Kv/cAHPlDYH/rQhwr74YcfLuxvfvObhb1p06ZqW/210RdTl9Wk1mZb0Bsi\nIYQQQrQeTYiEEEII0Xo0IRJCCCFE65GGaEh8nJZ6F8aua3HuqLYZ495XXHFFYT/77LOFvXDhws7n\nc889t9i2bdu2wp4/f35hM08RY9GsV+Y1RdTxvPTSS4U9d+7cwn799dcLm3mMqEXwuobzzjuv2Pby\nyy8XNrUBUS4n6oD8ParViuu1XYiZgB/HTTR1ZuXzUctNZtad64fPPbU3bAvzFNH2/pHHZu0yPufU\n1tAXczuP72uncRv9Xy03nZnZNddcU9j0p48++mhhf/3rXy9sf0/o13lPqBFTPUa9IRJCCCGE0IQo\npfT3KaXxlNJ692/zU0r3p5Q2p5TuSynNrR1DCCGmA/kvISaP1k+IzOwfzOw2/NvdZnZ/znmNmT04\nYQshxKgh/yXEJNF64UPO+QcppdX459vN7MaJz182s+9ZH6fi4+zUkbAmmNcUMXbM+C01Rjz2T37y\nk8JetmxZYX/yk5/sfKb+iFoaaoI+//nPFzbj+axL5PUDa9eurbaT2ijqm/j9F154obB9DJ3tZg0j\n2oR9vHv37sL294h6Cn6XthDHg2H9l/cF1KtQO1OrvxjlMKJ+hVpBQv0lfWmt5iG3RXXRmGfI5xXq\n1Rb6Wl8/jL410koxpxuPfd111xU28zVR7+n9I+tEel2pmdnevXsLm/mV2oi8eG+W5JyPjbRxM1sy\nnY0RQogGyH8J8S7QhCggH339oVLmQogZh/yXEIPT+pBZH8ZTSktzzmMppWVmtrvfjv717DvvvFO8\nuuVrYx8uikIuDFMxlHTnnXcWNkti+NelDC0tWVL+wbhly5bCZhhr69athX3++ecX9i233NL5vHLl\nymLbRz/60cLmK+RFixZVz80w1re//e3OZ/bRiy++WNgbNmwobL5C5utqntsff2xsrNjml+4eOnRI\nS1bFKDGw/2LpIR+aYpiYYS/vzxhmYmicPoM2JQF8lhn2YvjHt5XL6qMQGcNckS9maNH3C8sJ8boo\nX+CxGLaiPGHBggWFzdIf3k9RbkDf638z6Avbit4Q9eYbZnbXxOe7zOzefjueeuqpnf+iemTixGTO\nnDl2yimndP4TYpoZ2H/Nnz+/8x91OqI9cGLWVlo/IUop/ZOZ/cjMLk4pbUsp/bqZ/bmZ3ZJS2mxm\nH5qwhRBipJD/EmLyaH3ILOf86T6bbj6uDRFCiIbIfwkxebR+QjQsfsk5Y89MZ+9DatwWwdT369ev\nL+xLL720sL1ehrF/agMYY/+N3/iNwmY8n3FtvzydpTmYuv7KK68s7CeffLKwqT3g8T796U/33bZ5\n8+bCfuKJJwr7qaeeKmymvWfI08f7ly5dWmzbsWNHYbOPhZgJ+LITF110UbGNujhqDb3foBaQPoKa\nIZbeoIaF36eGiGV6vC6I7WY4iHonnpt+nN+nj/I6IfqBqFwGj81yG9R78tws9eF9NZfkc8k/U78I\nhcyEEEIIITQhEkIIIYTQhEgIIYQQrUcaoiHxWqCovIOP2VKvQk1RdCzG2Jl7w+ezYOp55vZhiQse\n2+cZMuvOreHTxTNGzvxI1BQxRxL1TMz/45cGM2cH4+m/8Au/UNi33nprYVPP9Dd/8zeF7Y/P+1XT\nGbC/hRhVbrzxxs7n5cuXF9uoOaFmz+sU6TOiHEb0QdTS8PliOQ7m+/HnZ1kQ+iDC7Wwr8xbRX/p+\noMaHOh36TkJ/SO0o03pQY/SRj3yk8/nf//3fi228n8qd1o3eEAkhhBCi9WhCJIQQQojWowmREEII\nIVqPNERD4rU/jDUzju7jy4wlR5ohxq0XL15c2LU6Q1GsmPF/1vxizg/WxPFtp66H2huei/l8mBOE\n3/f6AOZNeeWVV6wGdVqf+tSnCpu5nH73d3+385mxfOopqHEQYibg8/vw+Vi2bFlhU2vj/UKUV4g+\nhf6KZUMiTSV1et6fst3U3VBLQ78dlWBiTiTv8+hreW72ITVDkf6Q/bB3797C9r8Td911V7HtS1/6\nUmEzT5HQGyIhhBBCCE2IhBBCCCE0IRJCCCFE65GGaEh8vLmmGTKr1z2L8vdcfPHFhU1NC2PuXtMS\n1fJhbqCVK1cWNnMBMc7t4+S+/pdZt9aGeiTuH+Up8kQ5Opibafv27dW2UJP0hS98ofP5i1/8YrGN\nOgL2sRAzAa/loe6Hzzm1Nt5nRXUcCZ9rair5PFH3w7Z6P8LnPsr9U8sXZ9bt13l83zZqCamZ5HXT\nZzXRoZp1+yGvIbr88suLbWvXri3shx56yESJ3hAJIYQQovVoQiSEEEKI1qMJkRBCCCFajzREQ1LT\n6lAf423m4WBNmo997GOFvXDhwsJmDgnm8fCxZcbQqVdiLgvG/xljZ5zbb2eMPIqBUwvAmDrrK/la\nZ8wX8uyzzxY24/dRjaMtW7YU9u/93u91Pm/YsKHY9o//+I+FzfspxExg/vz5nc+sI8gxTf/mn3X6\nEOZJi2qb8dw8HqGf8H6EWkG2hX6BmiEeO6qv6DVFkf4oyqcU6Z+oyeS1+XvEc7GWozRE3egNkRBC\nCCFajyZEQgghhGg9mhAJIYQQovVIQzQkXhfEmC1zUvj48KJFi4ptrKvF7YxjUzNEPY2PZTNXBffl\nsRhjZw6QVatW9W3rCy+80LcdZt01jXhsxtS3bdtW2F7zwLppbHeka/DHMuvWVj399NOdz5///OeL\nbdQpfO973zMhZhpee0O9CvUsNR8TaWP4XWoJo5qHfDZp++NRl8jai1GOJMK28lp9P9TywZmZ7du3\nr7B53fT7UU03XpuvDcl+uOSSS0zU0RsiIYQQQrQeTYiEEEII0XoUMhsSv+Scr3G5TPWyyy7rfGbI\n5Z577insG2+8sbC5LH/BggWFzVfM/lUtX6vS5tJ2viI+77zzCpvL8H/0ox/1PRaX1zI8x9e6PHat\nTAjDbUwHEIUGuZSeITifBp9L9BnifOqppzqfGRYUYlTxzwzDMXx+iA+x1UJYvY5Fv0A/wOMxnMeU\nJj60xDA9/QRhW6Kl8mybTz8QpRdgCI1h+ygtCX0L9/e/OQx5Ll261EQdvSESQgghROvRhEgIIYQQ\nrUcTIiGEEEK0HmmIhsTHjLlEkrHmZ555pvOZsWWvVzEze+WVVwqb+hfqZahJYozdQ50O9TFc+klt\nDVMAzJs3r/OZ5TEYA2d8/8wzzyxsLpWvlRlh/JzXQd3Bzp07C5vXxbT4HsbjGfu/4447Op//7M/+\nrO9xhBglvLaHzwt9DLf75y9Kr8Fni/6Jekv6R/pW2jU9E21qivhss230l9RD+e28jujcL7/8cvXc\n1CSxLex33y9sy2233Waijt4QCSGEEKL1aEIkhBBCiNbT6glRSmlVSum7KaUNKaUnU0qfnfj3+Sml\n+1NKm1NK96WU+sdShBBimpAPE2LyaLuG6KCZ/X7OeV1K6T1m9pOU0v1m9utmdn/O+S9TSl8ws7sn\n/uvCx4ijGLzXy0Rx7C1btlQbTv3LBRdcUNi+TAXj0D69e692cn/ql7xmyKyMW4+PjxfbqAVg/J15\nhhj3Zt4Ob7O/ea6ofAB1CEyrv2LFis5n5vBgrP/yyy83IaaBoXyYf95qehSz7ufL59+hD4lK9NDf\n/fjHPy7sG264obB5/Fr5DT7ntKM8Q9Q90if56zYr+419GGl+qDFiWwivu0k5FRHT6jdEOeexnPO6\nic9vmNlTZrbCzG43sy9P7PZlM/uv09NCIYToj3yYEJNHqydEnpTSajO7ysweNrMlOedjrzrGzWxJ\nn68JIcRIIB8mxHC0PWRmZmYTr5q/Zmafyzm/jurFOaXU9/0sQzoM44gTn8cee8x++MMfTnczRIt5\ntz7svvvu63y+8MILu0LvQrSJ1v96p5ROsqOO5Cs553sn/nk8pbQ05zyWUlpmZrv7fd/nvjly5EgR\nt33zzTeLfX3smTl0GJ9n7DnSsFAv4/P1cF/mBOG5qKVh3iFOAn18n7F+xttZR41aAtq1nCKcfDL2\nz+tmu5lvif3itVM8tt/2gQ98wK688sqO/bWvfc2EOF4M48N++7d/u/OZzz1z5PBZ9M8Xn0XWVuR2\n6nJWrlxZ2PQ5fDbZFu/DqFdifjKvDTTr9hO7du0qbPpW+kuv66Efp2aIuh6eO6ofR2p5j+hLGxe8\nwQAAIABJREFURUyrQ2bp6Gj9OzPbmHP+a7fpG2Z218Tnu8zsXn5XCCGmG/kwISaPtr8hut7MftXM\nnkgpPTbxb39kZn9uZv+SUvpNM9tqZp+cnuYJIUQV+TAhJolWT4hyzj+0/m/Jbj6ebRFCiKbIhwkx\nebR6QjQZ+Pgx48OM7/oYPbU1rI21cOHCwo5qA9VyIFE7w7g249Y8VxTn9lopxvapGeJ3GedmfJ79\n5M8V1fmhDmHNmjWFzT5mP/n7F9VJ4/0TYiZw0UUXdT6zfiJr/7300kuF7Z+PKCcYc5mx5iGfReYz\n47NNDabX+XBf+krmUaM/3LNnT3V7LQcS/R+/SyJfTC3WKaecUti8Vn9+3gMR02oNkRBCCCGEmSZE\nQgghhBCaEAkhhBBCSEM0JD5my3gv48leh8L47vPPP1/YV111VWFTL7NgwYLquXwuDtY9Y86P7du3\nFzZ1P4xb1/IYMb5OjRD1SCSKe/u2MDcQdQXU/fjcTGbdmiHu7+2xsbFqO3ksIWYCXsNC/Qo1kGed\ndVZhe5/k6zSadeuR+KzShyxfvrywqY2hj2KuIX98+hhqCZ966qnCjnKjEeqh/LXT/1GPST/Nc9Gv\n8Fqo1arVbbvjjju62i7q6A2REEIIIVqPJkRCCCGEaD2aEAkhhBCi9UhDNCQ+xkudD+t6+bg349DM\nw0GY54Z5Os4555zC9sffvbssY8Qaa2wLY+6M//P7XmvAPmBMnDFvagWiPBu+TxmvZ04Pah54nYzP\n8/u+lhM1RIR5VYSYCWzcuLHzmc9alL/M+wXq7/g80Gfw2Hzuqa2h/o96Qb8/n2v6ryhfHOG56Hf8\ntUY52+hbI/9IrRTbynui+mXDoTdEQgghhGg9mhAJIYQQovUoZDYk/vUrXxvz9alfKs9XoTfccENh\ncxkrX9Ny2T1ftfrXvAwVRcvVfTr/Xtv5mte/auexa6nlzbqXkfJ1NpfE8lo87CO2k6/dGdJkW31b\neCy2m8uMhZgJ7Nixo/OZzyafNfo374P4LEV+gCG0H/3oR4W9fv36wl6yZElh10Lz9Lt8dnkdLOXh\nSyyZdfu/2tL5Wgkls+5+iMqCcNk+9+e18tpEM/SGSAghhBCtRxMiIYQQQrQeTYiEEEII0XqkIRoS\nv1z0zjvvLLZdcMEFhe2XylND9N73vrewN2zYUNjbtm0r7JdeeqmwL7744sL25Tqow2Ecm/ojlvpg\nWxkn9zH20047rdjGZaJ79uwpbOqVeJ1Lly4tbL9cl/F5xtt5HVySGi0z9m2njoDXxWXDQswE/Jin\n/oQ6HT4/vlQRNY88Fn0GS3E88cQThf3cc88VdqTF8bDdhClM2DbqM7lUnpoj3xaWJKmVb+rV1kiv\nSZu+nfdBNENviIQQQgjRejQhEkIIIUTr0YRICCGEEK1HGqIh+cxnPtP5fPnllxfbqGHxWh2W3rjn\nnnsKm/klGEMn1M/4PB/Mv0OtDOPxjINTY8S2eT0N92WMfPny5YXNtq1Zs6awa3k4otICbAvj+dF1\ne40Et1FXwFi+EDMB/4wwdxB9DrU2Pl8PfR11OtQWPv7444VNf7ho0aLCZk4kPtteW8McR/RBu3bt\nKmzmOKLOhzpG6ge9P2Q+MvoFfpdtpUaIME/R/v37C/vnf/7nq98XdfSGSAghhBCtRxMiIYQQ/z97\n7xps11Wdab/D8t1Yko8k6y5ZsizfsPENE4IxmJhwy2cglUBRfBRFoKtSaQidrqQwXZXq5kdXMIF0\n9590IAHi+CMQJ2AHGwJSjA24bHyJJd8kWZZsyZIlHd1l+X6b3w9tbeZ8zjlr6Zy9LZ3j+T5VKq1x\n5tpzzbXOnkNTc7xrDGOqxwsiY4wxxlSPNUQ9ctlll3WPb7755qIt16BIZXyZcW3GramHIdS0MG9H\nfu22GkWMx3MszI3BnDv553ktxsw3btxY2FdccUVhr1u3Tk3kMXdqHHgfbfH7Js2QVD4HtvHabDdm\nIpBre5r8lTTUJ+U+jPW/mG+M/o55iE477bTC5ljacgvlNGkcpaG5etr8CNv5HHItIn0j/SE1kdQM\ncawcC6GmyPSGd4iMMcYYUz1eEBljjDGmerwgMsYYY0z1WEPUI8yFk8O4ep7Hg7HlNpux5SeeeKKw\nmc8nh/F55tDhPTBezzg249Z5/pImnYEkffjDHy5s1mRry+eTt7MOGmP9zKvCsfD3w7Hn/VETMWXK\nlMKePHly07CNGZfkc4I5bZini7mG8vnBfDqcS9TKLFmypLBnz55d2MwVxM9zbPn1qZFk7jP6hba+\naTflY2qrccjP0qavbdM7WUPUX7xDZIwxxpjqqXpBFBHHR8RdEbEyIlZFxF90fj4QEcsjYm1ELIuI\nqW19GWPM4cY+zJj+UfWCKKX0vKQrUkoXSDpf0hURcZmkqyUtTyktlXRLxzbGmHGFfZgx/aN6DVFK\n6WDw+VhJkyTtkXSVpHd0fn6tpNs0gkN5/PHHu8fMncH47gsvvNA9ZryecW3GohmTZ2x64cKFhZ3H\nxRl3ppaG+hfm8aB2gHHt/L6pR+J9rV27trC3bdtW2Lwvji2P55966qlFG3UMHCf7pl6JWoL8me/a\ntatoY64m5yEyR4pefFj+PaZ+Zfv27YVNXWOuo2urtfjcc88VNs/n3KPfoN0E86bRxxDWXePc5n2z\n//xeeJ/8N6At5xs/T5/Gz1u72F+q3iGSpIg4KiJWShqUdGtK6WFJM1NKB6sNDkqaOWIHxhhzBLEP\nM6Y/eIcopVclXRARUyT9NCKuQHuKCEv5jTHjEvswY/pD9Quig6SU9kXEjyRdLGkwImallLZFxGxJ\n20f63I9//OPu8cDAwJDQlXn9s3r1am3YsOFID8NUzlh82E033dQ9Puuss3TWWWcdnsEaMw6JmvMY\nRMR0SS+nlPZGxAmSfirpS5LeI2lXSumaiLha0tSU0pD4e0SkvPbWddddV7Qzx04TjBVTQ0T7E5/4\nRGHffvvthZ3Htdtqes2dO7ew77vvvsI+5ZRTCpvx/nzszI/E2mXnnntuYbOeGDVI1ObkMfPBwcGi\nLa/LJEkzZswobMb++d2nrivXUvGzjOXPmzeve/yxj31MKaXmYnTG9IFefFhEpL/5m7/p2vz+c35w\nfuVzgD6B84MaoKZcZtLQvF/sjzZ1PjnM9cO8QvSH9Dk8vylXEH1tm16TusZcZyoNrX3Ga7P/z33u\nc+oXNfqw2neIZku6NiKO0gE91XUppVsiYoWk6yPi05I2SPrIERyjMcaMhH2YMX2i6gVRSulBSRcN\n8/Pdkq48/CMyxphDxz7MmP5R/VtmxhhjjDFV7xD1gzxmSz0Ma4jl8WXGiqkhoj19+vTCfuihhwr7\nscceK+xp06Z1j5nzg/F5xt8Z16Y+oAnWB2P8Pc/bJEmLFi1qHAtj5nnuoS1bthRt1AwxdxO1AswB\nQq1UPnbqJxjb37x5s4yZaORzm99xzl3mJ8u1OaOpCygNnefUwpx33nmNn2ftxjxXGnU8vBbH1jYW\n6n5YKy1/TqwTyRxu1Ejy34GmZzxc++c//3mZ/uEdImOMMcZUjxdExhhjjKkeh8x65O1vf3v3eO/e\nvUXbk08+Wdhz5szpHnMrlNvV7ItbsT//+c8LmyGcfAt71qxZRRu3iJnaPg+3SUNfx21KP3/RRaW+\nk9vX/Czvi2EthiHzLebf/M3fLNqY9p6vyvM+uA3P7WjaOflr9pI0e/bsEc81ZrySzwmGjOmjOF9y\nH9WWlqItfL1kyZLCZjkNhpZYlmfr1q0jjpuf5Vh5PvtmiIz+M/dxlDow/NYmT+D5tGtOk3M48A6R\nMcYYY6rHCyJjjDHGVI8XRMYYY4ypHmuIeuThhx/uHv/+7/9+47k/+tGPusd8lZ0xdsatc/3RcJ9n\nbDnXBbW9Cs9rMQ7OmDrHmusQGK8nb33rWwv7lltuKWxqD9asWVPYub6JGh+mJuBr9Uw3QC1B/kq/\nVD4Xvi5LjddoUhMYM17gK+U5nB/UOebt1B1Sj8TPEmoFp0yZUtjU+WzfXpZmy0sE0YdQr0Qfxb4J\n/SF1j7lvoB+g7oplQTg2jp0+jpoj01+8Q2SMMcaY6vGCyBhjjDHV4wWRMcYYY6rHGqIe2bRp07DH\nknT++ecXdq47ueyyy4q2tnIajz76aGEzJs8YfB7XZj6kthIXjFsz/TzPz8fCmDjLa3z5y18u7M98\n5jOFnWuypKH3ledbYtkPagGYd4jaAT7j559/vrDz3xc/S5t6JWMmAvncZS4zaohIro+hNoY+hnOT\nPoQayDZ/yNIduXaHffPatKkPHBwcLGxqLkk+dl6bGi36VmqtmH+J/m/hwoWNYzG94R0iY4wxxlSP\nF0TGGGOMqR4viIwxxhhTPdYQ9cgjjzzSPf7ud79btD300EOFfdddd3WPqX9h3o3NmzcXNnMFMWa/\nYMGCwl66dOmI42CujLacRoQx9abcQ8ybccUVVxT2rl27CptaHOp6co0SP8tnwnwhhPF+agfysbTl\nGeJYjJkI5Boi5sChdnDnzp2FndfZog9gXUHONdqc56zhRT0TcwPlPokaIfZFHQ/vu61+WJtGKYf6\nJN5HmzaR+c5YK9L0F+8QGWOMMaZ6vCAyxhhjTPV4QWSMMcaY6rGGqEfymO/jjz9etK1evbqw83jy\nfffdV7QxHwU1Rqwn1lRXSJLuuOOO7jFz+1x66aWNfTP+z5g7Y+z5fbF2D8e1f//+wqZ2gDY1RXm8\nnroe1jdirJ9aAcbreX6e64QaLmoDXGPITERyP9JWT5F6llzHw7lE/R59Bn0Mr8V8Zm06oHzs1Pw0\n+StpqAaIOY/YTq1irl9q02eyL/o71p1s03Oa/uIdImOMMcZUjxdExhhjjKkeL4iMMcYYUz3WEPVI\nHj9m7Sxqc/JzqTdirHj69OmFzVj03LlzC5tx8jxWzfg8r8X8IqxDxJh7Uy0zaoaoAeK12/L7MMae\n1wbitRjbp66B16amiLqFJlhjiLoDYyYC+Ryiroe1zagPzHVznFtt84GayTYf01ZPrCkXGn1jWx4h\n3ievTf1S7ud5LjVBHAuvRV9tbeLhxTtExhhjjKkeL4iMMcYYUz1eEBljjDGmeqwh6pE8Vk5NCuPi\nuZ6G+qL58+cXNuP58+bNK2zGohlrvuSSS0b8LPP1UMezdevWxr6p1cnvm/F4xvYZU585c2ZhU8fD\nvEV8pjnUcC1cuHDEcUpD4/dsz6/Nc3kffMbGTARy/R99Cm3qAfO5zXnOuURNEfMUUVPUlhuI18v9\nBnWHhBoi1pFk3221zXId1qmnnlq00b9t2LBhxM9KQ++TmiLz2uIdIkkRMSkiVkTETR17ICKWR8Ta\niFgWEVPb+jDGmCOB/Zcx/cELogN8XtIqSQeX/ldLWp5SWirplo5tjDHjEfsvY/pA9SGziJgn6f2S\n/qek/9r58VWS3tE5vlbSbRrBqeRbnNxK5euZZ599dveYYSuGe/jafVuqe7Jp06buMbeIBwYGGj/L\n7WraDKHl277cbuYWMLeU21Ld8/P5a63clufWNl+B5X0wBEA7/x0MDg4WbXz+7NuYw0Gv/iufIwxX\nM4zF+ZWH1vMyHlJ7igv6INqcT5zLtPOyIgxn04e0vfpOH8V7Y3/559k3+3ryyScLm5IA+vmmdAKm\n/3iHSPpfkv5MUv5NnplSOvgv4KCkmUM+ZYwxRx77L2P6RNULooj4HUnbU0orJMVw56QD/9VxhT1j\nzLjC/suY/lL7Pv9vSroqIt4v6XhJkyPiOkmDETErpbQtImZL2j5SB/mW5jHHHOPQSYWsX79ev/zl\nL4/0MEx99Oy/rrvuuu7xueeeq/POO++1HrMx45ZgrLdWIuIdkv40pfT/RMRXJO1KKV0TEVdLmppS\nGhKDj4iUx77btDf5uW984xuLtkWLFhU29SzUrFAXxDh4/npn/mqt1F6iIo/HS0Pj2Izf59fmK/n8\nfjEe35ZWnzH1vJ0aLb5uy/IaPJ82dVv559nXtm3bCnvfvn3d48997nNKKQ37P3ZjXgvG6r+WL1/e\ntakNpJ6PfiHXv3Ce7t69u7A5N5lmZPbs2YXNuUndDu1cg0kfw/vI56o01B8yhQb9HV+Vz58bX7On\nP3zkkUcax5LrTCXpN37jN3SkqNGHVR0yG4aD/3p/WdK7I2KtpHd1bGOMGc/YfxnTA47vdEgp/VzS\nzzvHuyVdeWRHZIwxh4b9lzG94x0iY4wxxlSPd4h6JNe0PP3000Xb5z73ucJ+7LHHusfUBDHW3JZ/\ngjF3xqJzmPNoyZIljdeiloYaJKbdb8oNxHg7r8U8HCxpwvh/Hq+nLoG6Az5T3hehDiLXJVBDdM45\n5xR2/vvg792Y8Uo+RzhX2/R+eZ6iWbNmFW3UI1FTxLnJ83ktzm1qDXMfRP0loWaIOeDoozjWJj0T\nNZMcJ/0I9Un0d+bw4h0iY4wxxlSPF0TGGGOMqR4viIwxxhhTPdYQ9Qjj7jkrV64s7Msuu6x7PGPG\njKKNtXwYx2YMfv369YVN/VLO4sWLC5v6I2px2vRLkydPLuw8Pwlj5NTlMH7fVsusKdElY/vUPDBv\nCvVN06ZNK2yOPX8ufL7Mo8L8I8ZMBObOnds93rFjR9HWVgswtzn3pkyZUtjUOLIv+iBqiNg/NZi5\nX6HGkX6CY+N9U1NEn0W9Uw71lvQxHPeuXbsKe+3atSP2bV57vENkjDHGmOrxgsgYY4wx1eMFkTHG\nGGOqxxqiHsnj7NQT3X333YWdx6Y//vGPF23MV8HcQYyDb926tbCZGyOPc7d9lrV78vwi0tC8HtTT\n5LmDqNvhM6F2gH0xxk7dT/55ap14Lp8p9UnUDlBbkGul+Fk+s29/+9syZqKxbt267vFFF11UtL34\n4ouFzfmW6wOpnaHPYV9tNTSp02kbS+4XqD+i/+JY6Tt37txZ2NQ3US+Y+wnmeKP+iJqhH/zgB4X9\n93//9zJHDu8QGWOMMaZ6vCAyxhhjTPV4QWSMMcaY6rGGqI+01bzJ82P87Gc/K9ouv/zywqb2Jq+D\nJg3V4jC3UH4t5tVYunRpYbNO0K9+9avCPuOMMwqbcfKbb765e8yaRhwn74u6Hep+mPNoz5493WPm\nDeJnmQOJugVqAagtyNvPOuusoo06gy9+8YsyZqJx4403do83btxYtHF+5TmLpHJuMmcRdYgLFy4s\nbOYVoiaI84tzlzUPc6g/4tioMaJNn0W/0lTLkb6W1/7qV79a2N/4xjcKm/nmzOHFO0TGGGOMqR4v\niIwxxhhTPV4QGWOMMaZ6oi0fhBmZiEh53hzGohl7zu1LLrmkaMvrnA3XFzVCzKHD+H7TuYy/N9Um\nG66d+X5y7QFr9zCHx5YtWwqbOivmIZo+fXphb968uXvM7y5zA7F9//79hc16ZLyv/L6pdfrKV75S\n2HfccUf3+JlnnlFKqfzlGzPOiIiUf8ep+6HPOfvssws71xIyTxBzGnH+cK5Rx0i/wLnLuZ37Gba1\n1U/ktaj7aaqbJpU+j/qin/zkJ4X9zW9+s7B5X/S9R5IafZh3iIwxxhhTPV4QGWOMMaZ6/Np9Hzn2\n2GMLm6+Y5+3cGuUW8rnnnlvY+/btK2xuUTNUlW/Fsm1wcLDRZqp7hu/4unr+SjpLjvCZ8D5PO+20\nwubruHxOAwMDI7bxmfA+uC3P7W1ee8aMGd3j733ve0XbXXfdVdj5q7589daY8UoeHqKP4fxau3bt\niP3wVfV3vvOdhX366acX9oIFCwqbqT0WL15c2Azbc67mJTE4zxlCo1+ghIAhNfbH9Cq33npr9/in\nP/1p0XbfffcVNn0OUwSYI4t3iIwxxhhTPV4QGWOMMaZ6vCAyxhhjTPVYQ9RHGHumfibX4vBVT36W\nNl8FbXtNNU+7T90OY+YbNmwobJ7P9AHU6uRjpb6Ir9m3xesZ71+0aJFGgtompv8/88wzC5uvy1Ij\nwVf881dmqSHi7yO/L6ffNxOF3Edx7nF+0efkfoE+4s477yzsBx54oLD5Sj9TZlCTRD/A1/jzdr4m\nz3NzvZE0dL7yVfj169cX9g033FDYuQaTGqG2tCL0h9RgmsOLd4iMMcYYUz1eEBljjDGmerwgMsYY\nY0z1WEPUI3nsnDH45557rrDznBNN+XUk6YQTTihsxrnnzJlT2NS05HFzxrUJdTyzZs0qbN4XNUR5\nO+P1vE+WB2B+EebwYbz/6aef7h7npQMkac+ePYVN/RI1EcwBcvvttxf2dddd1z2mpoF6JGMmInk+\nH/oQagmbdI2cH22lN+gXVq5cWdjUK9FPNJXPYP63trER6niYp43XzsuG8Jnx2vTr1gyNL7xDZIwx\nxpjqqX6HKCI2SHpK0iuSXkopXRoRA5L+SdJCSRskfSSlNH6q7hljTAf7MGP6g3eIpCTpnSmlC1NK\nl3Z+drWk5SmlpZJu6djGGDMesQ8zpg9Uv0PUIWBfJekdneNrJd2mERwK82/kMJ6cx7apw2EsmfoW\nam+ol6HGKP88Y+asH8b4PrUCrN2T63ikMpcJx8GaRdQIPfnkk2qCz+nUU0/tHjNvUFv8nr+ra665\nprBXr15d2LlGIs/rJJW6AWno78OYw8yYfFiu/6OfaNPa5NBfcS4Szk1qDznvqYOktvCJJ57oHlPz\n2DYW+gVqqej/qAPK4bjpJ+j/XPdwfOEdogP/u/r3iLg3Iv5T52czU0oHlXSDkmYO/1FjjDni2IcZ\n0we8QyS9LaW0NSJmSFoeEWvyxpRSiog0wmeL7MgR0fq/EfP648UXXxzyP0FjDiNj9mH5jsakSZPs\nv0zVVL8gSilt7fy9IyJukHSppMGImJVS2hYRsyWN+G5kU2jK1MGxxx5b/O65bW7Ma0kvPozlhYyp\nmWC8tSYi4kRJk1JK+yPiJEnLJH1J0pWSdqWUromIqyVNTSkNib9HRMrzYzAW3RTL5uKJ/zO76qqr\nCvv9739/YZ9zzjmFzVwZ+bWZl4Pj2rZtW2E35TSSmuuT7du3r2ij9ob6pLZaP6xPludNufvuu4s2\n6rA++tGPFvbf/u3fFjbrKzFPUX5ffCaM/efP9KmnnlJKaWRxmTF9ohcfFhEp/47z+0+o+8m/8/ws\nfWGbzb7bciLRL+TnU+PDsdHnsJ3+kWMhTb627VrUY44navRhte8QzZR0Q2dyHi3pOymlZRFxr6Tr\nI+LT6ryyeuSGaIwxI2IfZkyfqHpBlFJ6XNIFw/x8tw78D8sYY8Yt9mHG9A+/ZWaMMcaY6ql6h6gf\n5PFjxpoZL87r81BLM2PGjMK++eabC5t5N/LYvzRUc5TnA7r44ouLNubbYTy+qWaRNLTm19lnn909\nvuKKK4q2r3/964V94YUXFvYll1xS2MxLtHbt2sLO66xt3bq1aKMmiBqj0eoa8vtmriaeS+2AMa83\nqIfpp/60qT6iNFT83fQCC2tIts1zXot+m/6wSWvFvtqubcYX3iEyxhhjTPV4QWSMMcaY6vGCyBhj\njDHVU3Ueol6JiJTXuWFcm7k18NnCPv744wt7zpw5hX3iiScWNmv7NNXMGRgYKNo2bdrUOM5c6yQN\nje/PnTu3sPNcGmeeeWbRRr0S73vp0qWFTQ3R3r1lge48DxGfCWP9vNaSJUsax8bfQX4t6qioGcp1\nBc8880yVOTzMxCIiUp5jrC0fT5P+pe3fkaa6jtLQ+TVaLU7eH/1XW36lXvMQ5WNpGzevNZ5rmdXo\nw7xDZIwxxpjq8YLIGGOMMdXjkFkPRETKS00w9MQQWr592la6g6+Z8vfEkhhMAZ+Hj6ZNm1a0sTwG\nt5jZF8NzDFXl274MW5G2LWSWCeHWeh6iJEwfwNdv+cx5Pp9xfn7bVni+re7SHWYiwNIdba+EN/1b\nwbbR/rvCsFQ/X09vG0tbSI2MZmy89ngOkZEafZh3iIwxxhhTPV4QGWOMMaZ6vCAyxhhjTPW4dEeP\n5PFk6l2ozcnbqRFiHJt6F776zlIeTaUj8jIew0EtzXHHHVfYTAFAco0SX13nOKmVYrqAE044obA3\nb95c2LlOi+Omzb7bXv3l7yun7bVf/n6MmQjkfqcttQQ1kk3aG7ZxvnAutn2+jXzsoy3N0fbKf9u9\nNL12byYW3iEyxhhjTPV4QWSMMcaY6vGCyBhjjDHV4zxEPRARKc/Jwxh7Uwp4aoTa0sMznk+tDTUs\neYy+qcyE1K5nYryfWpv8Ptu0Arxv5uVoKnfCsVGvxGfQlpKfcOx5TqU2zUOOS3eYiQDzqJE2rU1L\n34XNudeWs220c3U0125jtJqiJjgW5ngbz9Tow7xDZIwxxpjq8YLIGGOMMdXjBZExxhhjqsd5iHok\n19NQq8NYdB57Zgy9rQZY2/nU9eTtbGN+njY9E6/VpElqy2XCduqXmEuI2p38OTAez2fEz1Jj1JZb\nqCm3yWjzpBgzHmnSyY0mV1DbXBptbp+29tHUVSNtfdEftpGPlc/MGt2JhXeIjDHGGFM9XhAZY4wx\npnq8IDLGGGNM9VhD1CNN8eam3Bttta/a8vc05TiSSm1AWz6Rtnw9HEtTHiOOs6k+mDRUM9RWLym/\nr7ZcJqPVIdBuynVCRqs7MGY80OSHmjR1tNt8xGg1Qm25gHqpJ9bPeS+NLj+TGd/4N2mMMcaY6vGC\nyBhjjDHV4wWRMcYYY6rHGqI+wjg68/c05etp64salaa6W5J03HHHjdg22vh8m14pz2uUX1camoeI\n8Fo8v2lsbfokPrO2WnO8dn4t3jPHnde0oy7KmIlIW36e3G7Lo9amEWrLgdRLTqTRMtpaaPn5E7l2\nmfEOkSJiakT8S0SsjohVEfGWiBiIiOURsTYilkXE1CM9TmOMGQ77MGP6Q/ULIkn/R9KPU0pnSzpf\n0hpJV0tanlJaKumWjm2MMeMR+zBj+kDVC6KImCLp7Smlb0lSSunllNI+SVdJurZz2rWSPnSEhmiM\nMSNiH2ZM/6hdQ7RI0o6I+LakN0n6D0n/RdLMlNJg55xBSTNH6iCPGTO3RlN9sTZdDvNeYlC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J56pUsuuaSw81wYHDf1SytXrlQTjLkzB0ieb2nRokVFG3N+3H333YX98MMPFzY1RqxP9ra3va17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\nGFM9XhAZY4wxpnqsIeqRXHfC2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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, I have to be more specific by what I mean when I say that I rotated this image by:\n", "\n", "* 0.1 radians around the x axis, then\n", "* 0.2 radians around the y axis, then\n", "* 0.3 radians around the z axis.\n", "\n", "I am describing the mapping from coordinates in `vol0` to coordinates in `rotated_vol0`.\n", "\n", "As you now know, in order to apply this rotation, I needed to do *pull resampling*, so I needed to use the mapping from coordinates in `rotated_vol0` to coordinates in `vol0`. So *applying* this rotation involved: rotation of -0.3 radians around z, then -0.2 radians around y then -0.1 radians around x." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Your task, should you chose to accept it, is to make a new image, where you have undone the given rotations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's remind ourselves of what we need to do.\n", "\n", "In order to make the new fixed image, we will need to\n", "\n", "1. Make a new empty image the same shape as the original;\n", "2. For every coordinate $(i, j, k)$ in this new empty image, we are going to apply a transformation $t$. This transformation will give us the corresponding coordinate $(i', j', k')$ in the `rotated_vol0`;\n", "3. We use linear resampling to estimate a voxel value $v$ for coordinate $(i', j', k')$ in `rotated_vol0`;\n", "4. We put this voxel value $v$ into the empty image at coordinate $(i, j, k)$.\n", "\n", "In fact ``scipy.ndimage.affine_transform`` will do all these steps for us, but we need to supply the transformation $t$.\n", "\n", "So - what transformation do we need?\n", "\n", "We are doing pull resampling - so we want the mapping from coordinates in `vol0` to coordinates in `rotated_vol0`.\n", "\n", "Your job is to make a 3 by 3 matrix that applies this mapping.\n", "\n", "See: [wikipedia on Rotation matrices](http://en.wikipedia.org/wiki/Rotation_matrix)\n", "\n", "This is the matrix that `scipy.ndimage.affine_transform` will use to get the transformation between coordinates in the new empty image and the corresponding coordinates in the rotated image." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Make a 3 by 3 transformation matrix that applies this sequence\n", "# * 0.1 radians around the x axis, then\n", "# * 0.2 radians around the y axis, then\n", "# * 0.3 radians around the z axis.\n", "M = z_rotmat(0.3).dot(y_rotmat(0.2)).dot(x_rotmat(0.1))\n", "M" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "array([[ 0.93629336, -0.27509585, 0.21835066],\n", " [ 0.28962948, 0.95642509, -0.03695701],\n", " [-0.19866933, 0.0978434 , 0.97517033]])" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use `scipy.ndimage.affine_transform` to create the new image and use the transform to sample from the rotated image:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Use affine_transform to resample from `rotated_vol0` using the transform\n", "# Get the result into a variable `derotated_vol0`\n", "from scipy.ndimage import affine_transform\n", "derotated_vol0 = affine_transform(rotated_vol0, M)\n", "derotated_vol0.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "(64, 64, 35)" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "# - plot slices from the image to see if you got the right transformation\n", "fig, axes = plt.subplots(3, 2, figsize=(10, 15))\n", "axes[0, 0].imshow(vol0[:, :, 17])\n", "axes[0, 1].imshow(derotated_vol0[:, :, 17])\n", "axes[1, 0].imshow(vol0[:, 31, :])\n", "axes[1, 1].imshow(derotated_vol0[:, 31, :])\n", "axes[2, 0].imshow(vol0[31, :, :])\n", "axes[2, 1].imshow(derotated_vol0[31, :, :])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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IIUTr0YRICCGEEK1n0kNmftnyiiuuKLZxCdO/csnyF0x9z1eKWWqAy5DEL+1x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\nRANy0003dT7//d//fbHNa1DMyjo0jA2zDlqtJo1Zt6blmWeeGffcjFO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U2jCO3ZZ/hHZT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\n4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sUVVxQ2Y+yMPTOvR55DibmAbrjhhsJmHg4+M7ZTc5Rrrxhv5zNhniE+I/5GxJpH+TPk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\nwfNZAiO/Hu+jrXQH76Ot/aWXX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