{ "metadata": { "name": "", "signature": "sha256:471f3be3e897d3d762f9d3ce6d67a7617250a258b1a06ec2135dab1b3ddc3045" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In which we discover optimization and cost functions and how to use them." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start with a single slice from the EPI" ] }, { "cell_type": "code", "collapsed": false, "input": [ "subj_dir = 'sub009'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "import nibabel as nib\n", "fname = 'ds107_sub001_run01.nii.gz'\n", "img = nib.load(fname)\n", "data = img.get_data()\n", "data.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "(64, 64, 35, 164)" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to make our data into floating point to make processing easier later" ] }, { "cell_type": "code", "collapsed": false, "input": [ "data = data.astype(np.float32)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we get our slices:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mid_vol0 = data[:, :, 17, 0]\n", "plt.imshow(mid_vol0, cmap='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6QorwNlP60nSj2vbpOgkcvSlXt7ngO9zkfR5mZCiB4+Zj6QqaZcmp4B7PZ4kz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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's pretend we are doing motion correction. We want to match this slice in volume 0 to the same slice in volume 1." ] }, { "cell_type": "code", "collapsed": false, "input": [ "mid_vol1 = data[:, :, 17, 1]\n", "plt.imshow(mid_vol1, cmap='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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aFx7dL1nWjNZ0KZwXfFx9TLIyM2WQxRPcdSmlqWytLVn6TKN60IcQ2eeFqUQU\n9eWhFEtLS7G2thY3b96Mmzdvxvve977Y3NxsIvMKyHFBh6xERIzBSMFVCVYGySlA7pbUGMeF0Oe9\nSRvld7eA5WVQm2ORJYedpba5QnLozzLcn+ciJD1LZaIPI9ZsC+ejM0SkPKp/aWmpEXKhH00HOo1r\n8LjkBqi/bciglLLnMrTH3z4uGZpuS1MXeqVS42ZmZpoAmvJRq3twRZah3+/H2tpa46uvr6/HxsZG\nbG5uxtNPPx1PPfVUPP3007G4uBgzMzNjq780/aM95aPRw8Af18w7Qys5tCYEdivswS8ynVt6WjNn\nes4YUFgUDCRjMDgny0sFwvHIlFFGbz5DoXMXS9NwmvVQ/10pUejVBwVeVbY+UsqcnaB1JdpRPEBt\nkSHgbIBcM/FZF6GpCXUGvUvPZRZcyeMCPjY+teuospamKvT6XUqyDhogD9rxeYdK/X4/1tfX4/r1\n67G9vd1shrl+/XoD57e2tuL8/Hxs+ofugsoV4zEg5BaO0WgGvpjPo9iuOCj0Pu3IqL4Umxa5UOhd\nqLmsOGJ82S9jDGxHFnCkkGeIgfkiHgUt6VpJ4HUUWA3RMDDqsQC2VdOROoKLZbpynZ2dHVsuPRgM\nmm3Cu7u7sbu7myKhktBmqQsy8HF3efB75MVaPMHh/TeU0Cu1aVExoARKQTH3JZ0QWlm3ubkZ29vb\n8cwzz8TTTz8d73nPe2J7e7uZe19ZWYnhcNhYlIODgwvMzUCcL/RQnl6v1yAG7lxzJJIt/HChd0Hn\nb1p6BrpoHTk3zWCjmN9dIY2Dt8utuQt7DT5yXHw+npuWMj+cS3a5GSdDDnKrFFzlSx1Eb/afZxto\nt+Dx8XEzGzAajcaQlPvEGY0yRUBr6356LZXgPcejFnvIhP6xw3tPmdASksmv1q44n2JRfofZtPLv\ne9/74qmnnopr167FxsZGLC8vN9CSC1eylWdufSIeEZjMSSE8Pz8fm66jRc2Wr6rMiPZTWmiFs+CW\nrCdnK5hHiITXRF9CdwqhK58sPsAxK/mfVBxSRkQZ6n+2cs5jO2RqVxY1ISV9e71eM6PBtQoLCwtx\ncHDQrPsXgvD9Ai5oGlfSgjzkKVMgTqtMCfh/b0PX+AHTVOfpdc21MzW0/LbDw8PG8rpvQ0LLb1tf\nX4/t7e143/veF9evX298++Xl5UYgKLgSeloGuRESYArR2dlZA/edUelf09eSgEjY1Gd9l4Sd1zkN\nRzfBhT6J6eQ9AAAgAElEQVSzjL74RYkCUxJuVwoerPPx9YCWC72Qkufx6T6WR56IGJ8S0zgyUbE6\nkpIC1GyQBF4+vhYAHRwcxP7+fhwcHFyA/SqH/SWdlS9ThlnALxv3Lmi4DXG0pcd6XBZhHKexZJEz\nP4VCz2m5jY2NuH79erz3ve+Nq1evNhF6rZN331FCL3guwT4+Po7hcBgnJydjZ9v5PbeSvh6cbeXU\nVSYYNZpl/R2NRg1cdvq6wDMxQJhZc7Ypg/lkfI8FZLDWXRdvK10q1ucKLEMGvnsu4tF0owSeist3\n4OkEJAVvNZ8vt02GxxWOuzJSTh4XyRBIBtE9T8niZy6EK8ku0D7iMe+ycwLSB/VIqvtrPJZqa2sr\n1tfXm2k4DYCE3ANGEkxqZ0bBxVS6NxqNxg7eULBJg+71sG+aVy9ZQbekvljHB5zXpQB43T98noKa\nwVUGkzKFoDwah/n5+bGx4oeQXr/dLXNLr7p8oQ77xgVZrkh9qo/JDYf6LssvRMjtyRJ8uYHuTnDM\nfGy6QHC6LeQNPlMTZr/3DWfplWpaTPepMd2/0ymvXD139erV2NjYaN6qoim28/PzRuj0UfCHq+J0\nzxmKg0mhV15F+f1ZtTuivMXSrSij8m7BNLjZFJ4WvJTqytwhXnfl6ozosJ7joBOBlI/PRMQFgc6m\nLEU7jpGUP8sjfbh2wS2kx3y8rgzRCOpLAXBc9HouL8d5hMpUY+NQn2Nf4geOQ9szWb4ugj91n97v\n++BEjEMpMi19suXl5dja2oqrV682QTsKPS0MB9EXa/g8d2Z1FDH2LbDa5eUBKfY9g2sZdBbzE7YS\n3hIKq2wGuaisSE/69fxPGOqKQOVpLGh9aOVFb1ps9tddCHfxSF/R8Pz84pp9j/C7oqKVdbqRp7KA\noXhL5wB6m0l/Tu2WXB5HVmofv9nu7DrL8b5lbnL2v5aqQv/lL385PvnJT8b//M//RK/Xi5/92Z+N\nX/iFX4i7d+/GSy+9FG+88UbcvFl+tVUpOWEyf9AJoekxzbtubGw0h1Nub2/H+vp6c4y0hEaD4fBZ\ngz47Ozu2M80tPYnNHXViAIfdZEb6lmRgZxZvmxjcmVb9cZ9adZFmzJNBefeZM6Gn68NnImJsKizi\noXBTONQ3WWzR1KcwSTf2nx+6ZTwBmErLP04Tuk0aQ5/x0IIwoR+NEcdhNHq0bDpzqejylYSwZLF1\nz92CTFHQPWFf3xV4Pz8/H7/5m78Z3/u93xt7e3vx/d///fHcc8/Fb//2b8dzzz0Xr7zySrz66qtx\n69atuHXrVmsHaX08sOKQXtFmPiPrrsU2+mi9vPbDczWXoLki7yQWB5HQ3QWXbc7gv+px4XKkoGu0\nYHzOE4WbSIfM4GgoQ04URP+uuQRc68++aRqQdXEGhIhEy5wd/lJwOS2p+qWIVQYVsitwjofo7S4N\n2+/7M7w/i4uLsbq62mz00TmI2rjDqT0qEqe3y0IG4akoM6Fl+7N7KnsSwa8KvfaZR0SsrKzEBz7w\ngfjKV74Sr732Wrz++usREfHyyy/Hs88+2yr0tCBiYEXOXXCcgfX88vJyXL16Nd7znvc0wTt+tD3W\nGUULcfb29iJifPuoovi0IBkRJfAluJf1XczL+X0mh5uklVtlMihpxTwSmszasL36ZFBUieNE9CWh\nZ2COMRcpQpXPcwK87xmKUDs4g+OxAfaByovTshmapBLgvgC30IL6WsWng0/1BiB9FOTTykgqV44l\nx4vuF9Eg5cB5wcenhhbesdAzfelLX4p/+Id/iB/4gR+IO3fuxPb2dkQ8fF/9nTt30mc4jyoG4m8F\nTbIgmM9ty9JfvXo13vve98bm5ubYgCiot7KyEufn541Vl1Dv7+/H/fv3m0HVwGZWvmRF+aHF8byE\nYGRC92tL89dKGaOSLlncw9si+qkthMi0ds4sHIOSa+D/6RJIGfreBCUfb/WTLtnx8fEFNOSuAJGL\nKzS1Re3ww0X9QA+1Q9Z9ZubhUuyVlZVm/v7BgwfNMz5V5y4e68/cD46bGxuOQ0ng6XpSmbSlTkK/\nt7cXH//4x+Nzn/vchTfR1iqSJXeNmzGkCJf5KVIS2lSztbUVGxsbY+uqM3/M6+NUnhbmOGwkEzkz\nishkYPY9GxwxAiG5koQvg4JOYzK1w3UqBdZLpeC0VrlEPayfkLLUHofMXPJKgaDSo2/tMRTWp7az\nHndJXMGS3p7Uv0xBeZyGikxlif8kYIL+WtgzHA7HVnp6zCGjY5dUgv1MPON/ZmYmDg8P6/nbKj05\nOYmPf/zj8YlPfCJeeOGFiHho3d966624ceNGvPnmm3H9+vX02UzYPRrtH1pLDpCCeHy9M8+tE7TU\nm1c1kIw0Ly4uNkE+D8yJwLQW1P7ePi6U4QCxbuWn0DuTUUszOYPITfC8rojc1/U+MC/XxetZR1uZ\n4LGfzBsxPk1H/13jqSCl+sN9+JlycVSVuTXqJ8fQE2NEmcBn/fNrQom93qOt3DzGSyv5Dg4OLkxD\nkma1seb4UqG50SgpkCxG46kq9KPRKD71qU/Fd3zHd8Qv/uIvNteff/75uH37dnz605+O27dvN8rA\nUwY3a0LvPo+e5c47zs/zrbERMQbt3HeT0Pd6vbFIvSMVzgVT45MZPIjlliizWISlhIHMr2f4nz6h\nBIWCTAvGtlBxefvdMtPNEg0YXMvGyCE/lzp7oC0Lrqnvbe6N+p4hAgo8LasjPV3XMx6X8VgBf5OH\nBP0XFxdjZWWlORNR1l6wX8/VYigc7yyVBL5Gp65Ioir0f/u3fxu/+7u/G9/93d8dH/zgByMi4rOf\n/Wz88i//crz44ovx+c9/Pm7+75RdltzS+/RHydKro7JEen+c/Hf95mBwHlfuAK2ymJuMJr+WFoMM\n6b+9L4Sw9FGdATmIjDCzvBKEy6yQ6o7IFWvEo/X1zMtxYR80L04aZOOYtcsj5Fqy7Ogh2yVZYmT6\n9VQOmRUjvzjNXTHzGvvgLgc/4hvykWjGE3w1XSza8wAWpxt/U1Fn171/Wf9rtMxSVeg//OEPF+HC\nF77whdbCPanx7u9k0CriYUxgY2OjOePuqaeeivX19Wa3VMQ4U2WLJ/SbTCqNrI0XYlz6oqX9+12I\nSmVDBKC2RFw8P07PuSViTIBlk35sl8NJ0t4TI+T678+7cqbwsN2evL4sDlKzUITpGRJkviwI5mW7\ncfHnvY8ciwwZcJqOCk7vPRTU17embGVw2qyzo72MV2rP19JjW4ZLP9dho/ItLCzE5uZmPPPMM/G+\n972vOaZawhoxfn4b0YIjB8I7ncoTMc6AEnpF9X1e2OGlnst8rax9HGwPlDmjUakpv0/FOZJgfU5z\nh+PKy2WtzE8r64rLFVANqZTu15QG6/Pf/owLvaNJ5smEXnQgpFdZnMpTojuifvFIsOXl5djY2Ijd\n3d24d+/emJHzekvKrkTHtvSuwPt3O2XWMrOkGoT5+flG6L/5m785rly50vjy9DV9BVcm9EqC/tk0\nkjbS6OPLYtsGxJmS0zkMZpX8bMJu0oKKpCQgFI5acIoCy3a5wmlTdGxzWyrlK11n3TWfnzTPFCif\nyZQYy3D+iYjU0hNVav+GdmJSKWt6WAuzNGNEI+SIzdv0bkJ6pqmsvc+0fdZQCaQIzYU3a2tr0e/3\nL6yP9gCP10GB4WuXM4JnAuaC5GVnFokMxjaWhNHRSiZkigdkgpIxixSHI4eMufjblWbNVXD/PxuP\nrE7yBn9nKIbKMSuHNHQl7vkY5+Czuq7+cnku1zD4mGb+uJ5TsI8nKZ+fnzevPWsT1JKstMVbuiiA\nqQt9FqAgo/qW2bW1teb9cfKDRUhq5yyi7QKvQB4H2wUzi+ZmC3dUvlslh5Eu8AxIudCX4KfTkn0j\nzCQtybiii7eH99ieiPwlGXQLShCaU3DeR5bhydui5LMcmSIpKVSni9onpeaK2pU+rXdWLxECaaw+\nDAaD6PV6TSDw5OQk9vf3L5TRJbmCpYLM0EMtTVXoGWl27SULzHfBc5+8C737YFyXTiZW+YJifu6d\nLxLRc2IGCn2GIkpCXosHkFmdoTMrLCtPWlGQHIa6pSfjk1F9YY6jD7pIrqTpp7IfHmVneSwjS45K\n1F+ij4xG6hP7KH7yIFx2YpDTWm3xlYpUCs4jepb01nsQl5eXG4HX4SdZX9hn9j1Dftlv9qOWpir0\nvMZE66TNDnoLzcrKSiwtLY0djsGtmPSVyZQqlwznDMAluHxJBf1dMooLEJkxQwiZIilZ9tJgla6T\nYX0Kz9cRZBBcQkLL5ALMPrriKKGckkXkOHufyBse66jRwuvKys2QiLeb9XN60/ucKQqnkX7rfH2d\nObC7uxv379+PpaWlhof9UA6nB/vgiq4N5tfSVE7DLTFg1mFNeaytrTUn4YhInCP1+WEGoEoMSUHn\nWXg8uIID7e/KcwHQxxd0+Ok73lYeC5ZZR9HGGdZpllk89d+DgUQtdFckCFndXZRRrQ+iJ9fw89st\nYya8jkIcFamM7HXYznMcR6+L9ZBWrJu09D5kayHYf53jeP369djZ2WkW9OhVW047d59K9O9i2T09\nVqH3jklDCuLrJNuIaOBoRIxZNQ0Ay+KhGNTsGkgKvlt6wkvfNlljpkzwuXoumy3QoqKSVWPk2i0v\naZhZHJXJGQhndvq43icXsNoYe+Tb3YFsNoL5SJeScit9xA9O21p/nM7K733K6ve2qf1ZXIRtWFpa\nio2NjTg/fzgr9eDBg8YIURllKTOWJbjfJT0WoS9B/IhohJ6WPuIh8/IIY1pOMooYmWejUyipDPw7\nYvy4ardgzsC65gJP5cJgELejqi6W5bSjUnFBr1lIfnMTCMeC9JIQMvjXFm/I3CC5ClScbKsraOeN\nmnJxK+uC5VF+L1t0VFlsn19zhevIgmXS0pMXXanJ0osfzs7OGmuf1e+phpC9v21pKvP0XTvR6/Wa\n3Ux835wYRoLk89waJO6f56uPaNnc3yYT+UBpMCl0JUvo7gRXB8qiq38KoJ2dPVobLyZT8nLcUpUs\nn8NhlpEpC+V1xJBBWa+j1g7RKhNO/mcZfEb/3To7U7sByBRUCQpnRihTbLzO+hQ89gg/+YMxJ+1x\nWFpaisXFxbEXa2axjJoSzNraNX1dhd6hU1sjXej1OiRZU0FwBp/0n4dheITeoVtmLSjkHMhSv+i3\nZ0zPgA8PWFA9YgDVx3LUzgxB1ObBnWEk9ISNGaR2heZllgShlKhE9J/P+1kJJcvlSsgRgr5rY0XL\nW3o2u+/Re6Iz8krmWlDg+ZouzSBpQU92olCJLiV6ZnRrS1MReiVnqmyg5ubmYnFxMZaXl5vXD9HS\ni5E5GOfnj95PNxwOL6zi4kDV4CEPVsjOO6NAahDcWtHi00rpt3YF6n3rvqc/s7QMQGb1EF6qLV6W\n99VhN8enZrk5liU3reZ/urKuWeXst9fb5jISnTgs92vMJ5r6NCiv+xS0K32e1ai+S+i5KjSLxTg9\nutC5zUVSmvppuC4o1LYSOG2D9ffEUeA5EBJ67WX2gBJPnMmYWfVzuylXBtLHVxuyFVmZsJDpVIYQ\njb6zuX1nIMUoZmZmxhCPW0O1IxP60tjI2nCMWG5pLGtj6+WwDI1Zlqck9N4Gt8BtQp89x4+3nZbc\nBZ7WPatD1yX4rih0hgHPMijRn6km1N8w8N5hT8RFqK+98vPz87GysjK2510HI+o5auUMftF6kcgM\nLhF2+3MUeG7Njbj4SiXOClB5KAbgL7lwy312djb2vnS5MLrvDMmAHN+7pnP8M4uaWR+WWRLsEtN5\nckYtWc9M8WXKt8TkbgW7CniWt6RUSnzGcc2i9JkBId873SMencLDPfk8eCNLrpgyZddV8L+uQl+a\nnyUU4Ymjq6urY0J/fHx8IRoc8cgvzBQBhV4QSs/0er0moEZG1HMU+MzvZFQ+O9ePQi/Bd9jOT6/3\naBEHX0OtezwIkzELrewSc3HVIPsqJUemJNRku/ic8mXWaxKLwufIzJnwdrFgNWFnGW3Kgc+VBJ7X\naOW9Xip+KofsHg2dhJ4n/paOuSqhmcsK/lQsfW1g5OcsLy/H6upqMy/vO958eosC63CfEMoHipF4\nDQb9eUbX3SKVhJ59ibj4FhQ+79F0Hbu0uLg4do8IaHZ2dszSay23UIGmJbnAyANUbgWdabtYaCZe\nz6xrhia8zMyqZql0P+tP9lzJDfN+kJ/YD8J675MLtoxH5qJxnYk25Iin+BadjMYlwa65N6X0WN5w\nQ4JL6HWybb/fb3bD9XqPTs/RNY/kZlHtrA20YBxARxI+oJm/7f2IGJ/K4bP0XyOiWUMwHA4vWBBn\nEGc60UDISIHNw8PDMYXj7asxBhVEbfwyKO911Kx1qSwvJyujC8LIlEcm2JmiyKx/yc0iDzpSIi04\nbuKziEcxHZ0IpePZFdyj+1caF6fdpOhrqkKfEVzWbmlpKVZWVhqhF8HE4FrD7HPsgrVcfScr6BpY\nA0fhpXbnYFOLu8BnMMsDfho0tzbS6m4pBPPIYGRkKjXBQ/VN9IqIsalKzv3rfmbJODaZQHK8RF9H\nXiyPgkQB0POOQrJx8fpLCiv7VnIFWOqP6OIC73kdtntbHMkQ6nubNH2nHaVap08kyjaUUk3GSmlq\nQp9pWxGSJ91ybl6EGQwGzWuFuYyWhxO4P0wtLEbniyJKPisHk1qXjEyXwmFdr9cbE3gXZPluvvFD\nq/cYT6CAMn4gZSja8dRareV2RZUJWiZ06rfuue+v/lJ4faw5xhR6PZPFEFzY3HJnilZtqbkJRIYl\nwfcyXVmIji70rJfQX2W5e8vx0Bien583As/Xj1OBeLmeXOG0pam/n16/KUDa6+6nkOi6tijKt5Vg\njUajRvjdh3Z47Ucgc9mkQzwR3lfWkbEI5316x+d3M4vtc+4nJycNDbRwx4WCFke04uuiuW2UZ9/V\n4B9nNfTtY5a5PrSMbUl5S+UzldyzTDjZPldqesaRE++5MLn1p4KjwuJ/ziK5pefHT1+SwpbQ68PV\nl+4atqVvCKGvaX9asdPTh2+aPTw8HDt4QArArQE31HBdOetRPgnx2dlZ4xM79M3aynZmec7PzxtE\nIkH3mQJaOS8r4tGpqVJeVHz9fn/MWnuZYjIe780tx9mLJNy9ovIlOtA9uj0ZjC/RzNGE/rvAl6y5\nC7SX7+PjdbIM5cncl6zeDPb7acEUSo656E7Fn60PUbkcPyFd8gZPEC4l71db/ogpRe8dSvtgi/mH\nw2HTUQkAtSh9bIf5nI8nA2tLrp6J6D4P7cqJzOEHdrDubIrRfTv2W0pPC5P4CmilbCZD9UhJ0B3h\nDIMv8c2saRaJZp997PgpoQMXSvqoREmuAErWPhsfr6PkVmQpG3+H1ESKjgZ87723gwrBESV5QnEr\nvZJNLmtJIXr7u1p4pakfl5VBHzH/4eHh2FSW+6u00m7puYqOsD3i0bZcZ7Iu7a8xnM/dRpT33Lu1\nUV8YfJTQ07fjFKQsCK8L6qu/osv8/HyzcKcGa/ntLpLqYZ99/DjO2bj77IjqcmjMlDFxm+BnY6X/\nk7giEeNTrqK5uzTkLwk1zyVwGmZBSvVfll4bxPTKNfZPZVKxlWjVlqa69j5LsnL7+/uxsLAQu7u7\nzVtBSaz5+fnmddMiThYQUr3OwGQ0h9vOvBnco/CyHmrxDFor0eqQcZx5Ih5tKNIAE/prIQ9jHxGP\nYiPy8xUQZFlsi/dPZWR51CZXFEQ2GfNlgi0LSAhMAcjckOyb9Pe83ge/xudKfOFWuWRpGXzkf7mT\nQgQZimIAWIJ/eHg4Nq41OpCPSoovS1PbWuuMrWuKZosJHjx4ECsrKzEYDOL09DQGg0EcHR3F4uLi\n2A46HmHl2xtJ/EwrZvA1g/F0Jxidp9XmIAtWUyll0JcCz8Q4hP5rTl8RXh4cqpkOMbG/lVXMxg1K\n7Cctlj6+cYd0o5+bQfKS0HNsqAB0T79ZP5mXljdrl9M3UwQ1gZDCYXv4PD8M7JImpLN4hZu3aBj4\n9mbxPY/X0mpL8rP3t4Q4uqTHYunZcAm9Gr+8vNzspZdvc3Jy0visysd9yjwqKaL8NpMsZVaQ/2W5\nffMFmZ274HgaD6f6MiTi9CFTcVumdh5qPncwGIxpd5XvG4Z8z77opec8QuxQ35WC0zJDWPym0Gco\ngs/Turo7SOWdWTpvU+0/6yV6Y7yEFp9KnbMjals2jhRkWnoqexor5dX4liy99zmbeXrHlv7w8DA+\n8pGPNJD6ox/9aHz2s5+Nu3fvxksvvRRvvPFG3Lz58F12GxsbF54vDRR/M8I+Go2aAwQVjaaf41aj\nNF1CJtUAeZs0OCXFxDZKg5PpWb4HFn3jRE2pMHEQGbmdmXl4NLgQDy0K/WYyrwf+KPREOZlSFPO4\nRXPhzyAl6Z8JV0YPPeeKgUq8VEdXK+eKhvQjrSiIs7OzYwq9VHcJciv5styZmUcv+tT4aLcdt91m\nbpjXeZlUFfp+vx9/+Zd/2UDtD3/4w/E3f/M38dprr8Vzzz0Xr7zySrz66qtx69atuHXr1oXnaUFq\njaZwDYfDePDgQczOzo5B5dPT0zFY61bRo8+EkiKez7e3DSCnr1SflA/XwvOsd9WpgWabKCwc+AyR\nsN0STs29i1kF/zm/71NuXL5bUlpsl6cMwlPROYT3Z338vZ5MGF3BZFOPrlx87NhPJSrJzMpzj7vn\noYGRZS4Je2aQvN/ML37p9canqqV02A+PSWS0bkut8H4wGERENKveNjc347XXXovXX389IiJefvnl\nePbZZzsJfa1RIsBwOIydnZ2GyfWuNXW03+83G044JUU/361KxnSEk5ngu9BHjL/HjELPcjlfr2c4\nXRjxyIcUOuBKQpWjREEQilDbTk5O4ujoKAaDQQwGgzF/nPXI/aGScaFya8y6OUb+jG9vro0tyy31\n0+nmbgbbkaVMebJ8h++Z4Dsa4CyNBJ7tcGSZKVEKKxEMZwgU0OMhLu56lZDiuyr05+fn8X3f933x\n7//+7/HzP//z8Z3f+Z1x586d2N7ejoiI7e3tuHPnTvqsDv2LeDTPTCFygTw7O2v8++Fw2CgaPd/v\n9yMimiWoEgJ2WP4SCcRNM8qXIY2SEqD/JugugT86OroAEclYQgeqR20THdQmj8C6EHo8Q7MeR0dH\nDUzUsk61mRFxlednBpLxMr/fmYwujVLJ0qufnmpC77T29ec1SO1j6/WQJqzPLb3zJ8eByKYk8P4h\n/Z1XiQo0hj774mjB28fTnLukVqGfmZmJf/zHf4wHDx7Ej/7oj8Zf/uVfjt0vaZ6IiKWlpbGBcCg2\nGo3GTsqRP8OPrOr+/n5DEA/eSRCySCYj7fqv+vVMG8Nm8FbXZRnoD9KKjEajsUCOJ07tkXG9Pbwn\ngVAbhsPh2Es9tSxZ7dJ1ncWnwKR+Z8rGhYJ+JwXEv2tCninUrG+E9I6AOK5qCw1KJmgO19kujn2m\neDNeoOXXdbabMZeMJ7nAystle7NZEvKH6MjyIqJVAXSO3q+vr8eP/diPxd///d/H9vZ2vPXWW3Hj\nxo1488034/r16+kzzrjU4vrmARqDwWBs2klzzmdnZ3FwcBAzMw9Pld3f3x/bmaQoack3zojnQujW\ntTTo+pYQ0M/zhSa0EtlU1Gg0ag4NkRByiXAGCd1SnJycNFtr1XcKC+EqXQ0//7/mdkmhiLlc0LMI\nfTb+bTGY7D7pnSEEGggKHWctfDxLlpczQlwzQGVPI0IEoPGjcSOyY7tryIjletszdKrfGb1LqSr0\nX/va12Jubi42NjZiOBzGX/zFX8RnPvOZeP755+P27dvx6U9/Om7fvh0vvPBCsfH8zYZy6qLf7zdv\np6XmZj4t0d3f34979+41h25IWWR1KnFgaj4i6/UVUZ635Bv2er0L1kZ5fWqR5ZMJSlN9jiBcOWiK\nrySgQgi09myzM7nq05ShH+ro/m+mnPSbMRrFMejaOKRnezJLr3EVFJbiz04eJm1dudEI6NuPSqPQ\nlywz82UuhteZIWRXRmy/o4asL6X6PFWF/s0334yXX365YeJPfOIT8UM/9EPxwQ9+MF588cX4/Oc/\nHzf/d8ouSyV4pP+yRpqjVDBKH03VyXdX5LzX6zV+cnaIZcZ4/M+dTPymVSn5hSwri/T2eo/8Zvab\nGt/9s9LKuUzw/bqYVUuZuX5fAU8KBdurvmdTc2RKoa6lpaXmvAPfDEW6ZChpNBo18Q93kxzWu6vm\n5VLYGPyishTNHfryHtEJ+ZFxIR9HbxPLoA+eKUI+579LiqWElp0fSnyaparQf9d3fVf8v//3/y5c\n39raii984Quthbt1zLSgDpV48OBBY22zM+q4/VZ77OUOMGWd92i1t4ErpHywyQgZsckstBqEmQwk\n8sPZB17nIHqbM8tHJcbrFGwpItbJGYgMbrN/vlYiIi68HyCDoN4HrmnwtQ2ZlWd/KMQMvlEBucA7\natT9LBag5x2x0Jo7aqCS5G+H35kFlzso3lBwltPUXJjkvM0xd5rX0tT202eaLCKauXnNy3sgjyfG\navuh3levwVbKBJ7WjIOifLQcDun07UKfoRUKmQs3hTyb3+eUXclKZgrGBTuDwVxRyLb5hqUs2swx\nUn5BailLugikkwsulajHEyj07surPxQUP8CU7VB+zWgwwMiYD5UC6UI6ZjziQk9auQDqmo8L+zAz\nM9PstNRsEF2gzPKzvswYtKWpLMPNrHxENFZKL6gYDodjA0prrim71dXV2NjYqFp4tzgSeh1J5b6S\nQ0C2WWV627M+KmXWXPXz+Gof2NpZ6BRKV1SlNqst9AmJONzHJhORyfWMtnv2+/1G6F3gPPJOhiRq\ncMH3ICbHlYJHQ+ABRtJGvjlngdguTq/SzYi4uDRb7p4LVht/8xpjRIyT9Hq9hv7cUOZLuUkPotGs\nPW1papY+4uLqKP0XA6oTtPLy9VdWVmJlZaWx9GTiDA7rNwfCp0TcgvAZtjmDvEqZdaWQqZ/6rX5p\nWg52L6YAACAASURBVIeMnk3leJuyaDD/u1IjXcRYblH05lTWQ/jL2RFZJilozWDIajliIKzPoHuG\nBrxPtNKaqpRy4QYjh9t0CdieEs18/p7jqfZlUfdMKEtIR21npH93dzd2dnaaJeh7e3vNGhXSU3WX\nluh+Q1h6JbeYmaCwY9pUsrKyEqurq7G2thZra2uN0MvSZIxEzejC4v4nBZ5Cnwm5X6fGdUXidSuR\niebn5y/A+5KVyOorfdMS6jhxJQn73t5eHBwcNBaFqwrVPlpJLe/VPU4RKprP48ZJf0cXFEiHy84r\nvMbIPhEbrT4RmQdjeY+BOo4f28Z7vO+pNMaZC6AyuHr05OQk7t+/33y0tVxnS7jQOzItGaNamvou\nOxLVrZA6xXPwJfBra2vN7jutzMsCYQ4rI8b3dXtb/B4Dd1lUW9/OJBwM5mOfVZcsvbsBvpyY/ZB2\ndzfEy2dwS+vDyexHR0eNZcleY802cg0E6xF9/IgvHh/mFlp9zMrKXJWMP3xFZa/XGztngOWMRqN0\nitQVOttSW1zkQpz57+RrV3wZsj05OYnhcBh3796Nt99+O95+++3mrUWy9JmxyRYjuYtSS1OF9xHj\ng01C6p58HUL61dXVWFlZaV7xyz3kGYTVb2p9wjfXvvoorwYpi4xmUfzM4tN9YN+56IPWS5Fb9oG0\nYfnsn9PU4xVkUFkZvRrLhd4VoOgqRSKlynfpZbEAr9tht+qQoneecPqyr1QiThdO3WZ85+U5Db1O\nlk1lR75geyn0HhBkvYqPDIfD2N/fj52dnbh//37cu3evQV1tLmU2zl2t/ddV6EmcjEHd0upttRJ0\nWXVCRwaUIh5BZfeXafUderuQeluZz4lJ7ap8nB9moCpDH+w3BUL5SCO1Wc+Rjs4U6geVh78LMOLh\nvoX19fWYm5tr4L3v3iNimJ2dHVsm7esAeJKr1gWwPvaRwTMiAfnctIg1pcZrrN+Vre9Ld4XGGEGW\nnOYlpe8uY+aaZMqohHZK5YueXNzk05xd0tSE3oWdkErMpMMBtdJO/rsOyFSZ2SuvXIAoeEwlSOkM\nFnHxBQjK5y6EW+bavLMjAUJXty5kNjKEWwL2TUrx7Gz8XEAxXL/fj5mZmQvvEaBi8THiAhgKOl/W\noHFim/ntQq9rGiu2U7Qm//A+5+ipfCgcarcjCQ/YutBnqMOVbkkondYcK3dfSqjQedKVKOMiRD1O\n71qaitCzIyWh7/f7jZXXR5aep+JKQGTdZemZOAftu8oySF+yKhJSH3QGpvThM/TN3eeKuDgl5DBZ\neUow1xWPEuunwDLCrfUOohNjCKpDbaIl5oyKH9ul9xIo4OcKSQyaKTvN/VOgHdYynuEKiMiDQqp6\n3dIrcexIP/JHRndeKwmxx45K/nbJ0nsi72Wxja4WXmnqPr0SmVsr7OS3Z7vtePqIYBkhJAlIqMxE\npqD15n1XUE7UbHBoMTJY71CcLgAX6ZQEmfTydkTEBdjMZ2kV3bJkFk110YXxBTjKw1iE+s4xcjr6\nfHymIDIGduGg65FFsulKOSrKxnySlFnvkvvhdXK8aMg4P39wcND877JddtL2R0zxCGyljHkl9Kur\nq7G0tDRmxTnIDpclPB7UIOzJfB23qCV4pfZ6EEpRYZbLyLQzGj+EYu6GuLCJcRxasq2ij75daVE4\nvF8lQagl5RdDyp3gSzTZTgoCg5a+8SZTjs5DPkZU+qSffnsw1RULUQdTyeLq2bb4C+mkPjsSEA/p\n+DP1fX5+Pvb29orxBle8bFdXiz91oY+4uEiHlp7vspOV4YECGlBCnIjxxSS6ng1m6TqZyf1pVxJe\nPle4ZQJEyEzXwCPb/qHlduvP/vKTuU+lKR7vWzZWWaKAuZJhclTB+hVEzBCRj1dmUb1M0Ze0dWTj\nyQWoJDSZEeB5BhRoV/ziC25O0oInzUI5f52fnzfvgcjGPhP8SaD+1F9VnVn6ubm5ZuWdhN6tt6Z4\nONBkGK7D9vrdt6PSUBv4jGt698k50LrOSCrzeN89eFaijwsSFZYsOI9Wyqx5xpAUdlc2Nevm0JmM\nz3Kc5h7cUmqLOrvAl5IrMpbLoJ8jhgwtqLy2+hyy6+O0JU+QByX0fgKUEJRWOzoKcdo6CuyK2Ka+\nDNchkMNA3znlA5YFSshgblEiHh1WKUJxoQgZmtrYiemW2ZUO28L+ev+zfNkzbqUYtaWS1Is9OZfO\n2QO6Fe5OlOIIEeNr/UU39jVTShxTleFCT0HTWPqiHtGW5alePx6NZdLSazy93szqZ5bUEYoSg42u\nVGdmZpq6GcjN0Av7IQOQxWZKhtMFvCu0j5jSiryMqR2O+FQM3+DiQu+bbZy5xMwiOoMmyu9CoaTy\nXYFQSHxe3pkvg1qZa9EFGlPBqT5uPlpZWRlzgbTo4+Dg4EJgzVf+ZS4F63ElJ9qyvVk8hcpcz2WK\nWe4HaSEFx7HVt1thD6ZRGbN8r9vHqIQ0PCgXEWPjUTI2Pn/u4y2hp4LIhJ50YspQFe+1pamtvfeG\nOcEp0Hw1Uyb0bZY+4tF8voRkNBpdUAgeHaUvn1n60ty/I5YMAiof26zvDMI6NCUNZelXV1eb04Y0\nw3FwcBCj0ahZZ58Ju7sh7IP7+hKsLIAW8Wi1nveb05gcH8ZdMmVAAXIeIQSXkLAOIRrl0+46bwMV\nRGaJS2OiNjvPqT/iNw9QOq+qnUSd4s+Spc+MicP7rtZ+6j6933PhcrhMwrogUSB8QFUmYS2njFgX\nLbnPu2t6xZkhs/Jqb0nJef8zKKl7UoBSfFxpKAuvGIg/7y6JLxBiWxx5TTqGpY/oQEXAOXinTUYf\nuhUsh7GUkvVm2VJcuiYe8bLJc3zG6eTtVlv8XIBM4bhhYmA4W6TVliYRdqWpvKo64qKVc8tISOSd\nl9BrIAi1smkqQkqVzSkmamAqG7WBZco10GIfn2oi1PcP2+ramZaNc8205kI7HpzUZiRfEJNZ9EzY\nfXaCZfObApNZ+ww2sx9uTaWcMyZ1he/l0RC4wFFwnMcI9zMoXhq3ksBnKCDjYV13hOPxJSJS30NP\n/mHK+GqSNBWhzzrgRM2CTHpOxGJwJxMYJQ/28DlB+8wa0OKLObTiy0+JYeRa/cm0P+ugBmf7M0jH\n7bEMas7OzjYnCEnoxTQexHML73VnVpaIhcozE3oXeD3P3Wou+PrtguPKgQLvgujtZrCRfXSh93pL\nbeQ91ie6EHlyvPlNpc6x8xkW8dpoNBqL4nMsfPxqfOWykKWpwXsKPhlEFoEMmy1J9QCHmIvn6REB\nMG9m1f1ar9drFI8I5wFF9otMRSjnwaWaFVG/slkKTeno4xtdfOmpVsbxKK5sea23n/fYbsJoF+pM\nAfi4+1i7cvRnPQjnZXlyZVUSVil5V07kT7pALvguWBovXctmcJRcYTrEJx21yIlLx52mfi0T+i5p\nqvvpM4siWDMcDptXMjN45DBYy3EjLp6FTuvMM/PbiEHmUJtOT0/HTowRo3JaTwTP4gSlASKze9CS\nSevbtZ2Ye9YljHobEI/gOjg4aI7iKlmurF0ck9I4sg+E6hwvlUMFmK0GZL6IGGN6jifzu7uYQXun\nswQoE3YvyxEay6PSEnIkMiQ6UZuIMGTx1Q8astFo1JxzoAM0dG6ht9eRRdaXtjTVk3OyJKEXw+oV\n1RmMFOE4sCrf81DoM8it5/jhog5fLcay2QaHiNmCkwxGa9Bl0b1M7mDT0mT2Se+x03ptKU2u287a\n4d8UWkdhfNaRV4Zc3HrpmmBt5rMTMYkPIsb3EzC/2s1AGwXfaV2C6UqOxniddTnPiSZc88Hz8slT\nZ2dnY3tHpPA56yGh39/fj+Fw2PAfjR55NGvrN6Sl9yRrwAMj+f46MhD9qIiL7+am/yQi+wk1NUtG\nuE+oTiFU+WR6KgUNSsZc1PhsK2E7kQJPANbhoBL6w8PDRrj39/djf38/Dg4Omrn5LFhZ6jfbVcuX\nRblFdx8DKkmiNVpIPh/x6DSZw8PDMaHgtG02I+BtcMH3/M4zGWzOFJLqIm8yDuVoR3l1nb46Fb74\njJaeSpuKLXNJJxX4iG8QSy9/VNZKUFWwVpsSIh5ZDjJARIwtwz0/Px97mSOn61yY3bKRIRn1V9LA\n+kxDBuk1KIS32bHNbm1kQY6PjxtrQMtHYd/f34/Dw8MGEpaCdxwH72cGvUvCXYKTVMbeH06luoJ1\nhMRyHYU4XUtt9/aVFFYNrTjN+JvjGvEI+TAGpHJlbDR2El65HdqsJEXuuy4dxWS0L41NKT2W03Bd\n0CT0s7OzjcXa29sbO/Nee+ZJbA5aKag3MzPTnLQjBiwRj0yoa/TLaNW1+IWD5Iw5Go0ffUzh5aIW\n+ob6rXR2dtZYP5WjVXdiFh4j7X68C0cWdyCTZ0KmJNplguFxDtKTQu/9o5KLiDG/Nxsf0rcknOxv\nSbD9ns+hM9WUOc/h49h6X/neQ1n28/Pz5sgsHonu08BEYiUXpDRmWZoavHdmoIVjsOXg4CD29/dj\nb2/vQjCrNEXnBCck4gIeBly8XQ6ZJBRqG4V/dnb2QqS8tPrKp+Uy2KvyHTmcnT08spoBs9Fo1KwZ\n0EsSKMQZUxB2O1wVnXx8vB/8TQHSNYfXEY8UCK0V20kFRIvIemoCn+Xz9vDZ0owOxymLDzgt6J75\n2LI95Am+c55By729vTGh53iyHSU/3vvYxdp3Evqzs7P40Ic+FM8880z80R/9Udy9ezdeeumleOON\nN+LmzYfvstvY2Cg+XyJgxCPfXBpRmk+rzQaDQQNbqWFpdSLy95YRThFSMcJKgaGwlSyvntegMeCn\nRMJz1kGW3S0K69fHy+E9X8/gAuDPZuOR+YQ1xir99nJ9rClgzENIT5Tkew2y1IWx6WL4dY49hZhb\nkF0J0lVh9F0xGV8aLpSnvhOFSpkL0XLGJVs9mdE1o1FXeN8+kx8Rn/vc5+I7vuM7mkJv3boVzz33\nXPzrv/5r/NAP/VDcunUrfS6zCq65qOl5UquimLRmEnifvuIUia9o4sAoEj4YDJqjufTyDL2ckWVz\nRRwZpXbSjTMFrTktGxURV/tlB01kr34SfR1BlGhegvRUQrRaXct1662yqdiyfJlyyOplEM/hfBvs\nz8qhkqMy9r77sWA6EkwzLVn7WIeXIyMlHlcMSyflZONaQh41I9oF4rda+v/6r/+KP/3TP41f+ZVf\nid/4jd+IiIjXXnstXn/99YiIePnll+PZZ59NBd/9LYfR/FZ+Cb2moQSflVf7yHu9iy+7EGNz4EV4\n1kFBppBpQDRlxwFUH6RQsgCeW1wXEkZjHQJSKN0vd4VB+mbaPYN+mZBl/SsxkltOh89ZuZlCyL5V\nfkmos+g9y/D+ZqjEaUWlVFM0bqC8bD7DdlEhk040bJqxyqZY3YUtBSMvk1qF/pd+6Zfi13/912Nn\nZ6e5dufOndje3o6IiO3t7bhz5076LE/+ICPUtJYLvbQgCak3t3AApBi0+ooDyeCQtLt8LFpQBfzo\nMujjcN9XYrmgO4Qncys/UQOXCvPjioB+slvTLJG2pZhDZsFLZfC+Cy7pwCmmrO6SpfdpOW9nra8l\nYc/uZUiACI27AdlPuiWOQpjo8/d6vYbHGI/h2gq39D7jUUNIWTyplqpC/8d//Mdx/fr1+OAHPxh/\n9Vd/VSR0yZfQm2iyiLEIqKSOaHVer9eL1dXVODo6avxWCi2foU+sVXUM6pUiohHjb2T1df/qn2td\n1U2mcGWRKTm2WXQpzamXLGcJapdSGwTOBL5LuV6+2ufXS3W33c9iJI6SsrZQMSifj0vmMpQMko8/\n2+eW3F2HDP4T5kvw/dTmjP6ZlSdSYQC77UDNqtD/3d/9Xbz22mvxp3/6p3F4eBg7OzvxiU98Ira3\nt+Ott96KGzduxJtvvhnXr19Pn88aSR8ly69lmKenp7G2ttYsR6TQS9gI5/VfHdacvGtLjxbLX+Z6\ndQVUlKjJnWkI69jPbOAypZcpQ5XhdZNOmcbPkgsBr2UM73lrZfO+C5z6S9pnsDmjW1ZWDcJntGE5\nUtCyvjWaZu4T82c+vJ7r4uOrTYrgc31FNq5Og0npkaVqIO/Xfu3X4stf/nL8x3/8R/ze7/1e/OAP\n/mD8zu/8Tjz//PNx+/btiIi4fft2vPDCC+nzGWNSINxPkdAeHBzEzs5O7O/vN/OZWYDMCc9goMMn\nCTXhFf0qzXvLv/JgIIM+vvnFd8GVgkeiSba334Uu4qI7wjfN+IscOPglK64yvX16jnVnY5Z93Fpm\nY0sGzuouoRBe8/vZPdLY3SK1VTEhBvAouO7GUXGp7myTFOnlOyepBDRu5+ePDr/0TTYl4e86xm1p\nonl6Ff7Lv/zL8eKLL8bnP//5uPm/U3ZZ8sHUd6kzETEmBL7KLOKRr8RBcgbigKtOfqREhCz08WBZ\nZhE1YP4/C7TIuvmUH9tWG1RXcLrG8jJal8rysSg9Twandcmez6yyu11dk/NIrZ2Z4Hv9FAiNBVdt\nZq4XeYDPZ4qOdbFdrvB9DGSgtH+iyz6JdzN1FvqPfOQj8ZGPfCQiIra2tuILX/hC50rcIvjg6LeS\niCMYpKmN5eXliIjm9UkUegX3tO8+mx7zyD61tkNtMl0pAKa2ulXhRwqGiYrL++4WltcpDLI0LmD+\nEQOy7NK3JxeGkjuRCXhWppjdrSetopQxA3q0xM4zDuMz6053QvzitNY4loRVCsPLzJBspnQUtCXK\n83Zyb4nT3+lJ/nSZaktT2U/vFkuNyxiWHZFV07z9xsZG9Hq95rxwEVARfX1nC1nku7sCUtu4Iy8T\noKxfjC04wnA/nczClCm+7JsDSwFR/Q5HhQZc2Xp8owuTKD9dnszaZcE3L4cIh4Lh1jFTYB74zepi\nIJa05rhwoZcLt55zq55F+Tn25N1MOUroS0u3pfycPpmwM7lieexCrySiaZqMnaEfRYKLsKenp43Q\nK8gnSy//3aOXLuz+CmgOJrWrW21fkUcCZ8LkaIKzDhFxoX+ZYiGDZxBUZXOtARWcvokyuIKRPiv7\nmyW39PowIOX3HQGoza4U2RdXxHzG63a+8vZy3MQTvV7vgsBnENxdt8zS87ejEHczvG3i15qlV1vd\n4mcIoOb+1NJU1t5z8ByKZFZVnVFQ7/79+zEYDGJra6sJ7tG3pRBoMCgIh4eH0e/34/Dw8AJRyCR+\nvpz3odZPF0wGGN2qZgOaWXwOKpmNwT1XKKPRaIx5PNipcmvoxOtnOwjHqTR8rDMrxfsqy62pC06N\n4TMr6K5Xppg8Uu594yez8Cy3pCicxtyrwbMWs70TpbZlfNGFPz1NbWuthMq1dW0gtCFBDL61tdVE\n9efn55sAiHxkHS2lOiX83BHnC2tYJ6P6aluJwBm81setK9uTHVpZUggR48tTfYced+nRevJADi+L\nZbJdpdiH+kchJ/M7suGKRdbp/JD5zg7tM6TjY+H/qZRYpvL4IijvqyvXLBLvZZKmpAsND19SWRL6\nErrj+GUKcFLBn4qlp59SEnq/HhFxdHTUvMyv1+vFtWvX4sGDB7G/vx/9fn+MQefn55s10typJWHm\nGnZCLA6iNvtIQc3OzqYWn8Lg0FEMza2zpMfh4eFYzMGFXvk8Yu/rxDllxE03zpzOSNnGEPWltMow\nE3qHwxxPCpfDdiYXFG9XRhtPfs/LcUuf/c+gu2js1r2k8FS3npVBkiGh0PvJym7dS4jL+5N9d0lT\n21pL/8XzeCeVtCxWS2vv378fDx48iJ2dnTGBlXDJ2nOwIsbfwy7ia1eTDyr39rOMmv9Ugvc+ly5l\ncnx8fAFSt/mSJdiZ+cPur0ZEGrzy8aEC8Xxqh7fTLWfGlE67rJ+ZYijB3Iy/srJrAuH9UDtrbcv6\nUao/IsbW2ZPvNBUtw5P11+mZIYusf1mbPD2299MrEWrqf8RF2Hl6ehp7e3tx9+7d+O///u9YXV0d\nO2RDEfh+v3/B/3EfUokKp7SBhgNPYXIoTD+Pp+K4ZeAiHlpZ+uk6MMST2seTWehCsE9KVCzen5Kr\n432NiOqWUyI5JfrVFBy1l3Ww7WqzK1EXSndPnAYZAhCP+PZdumnkQd4XSqopIln2Xq934VTi4XAY\ne3t7sbe3Fzs7O82hph7YLqXS/RKKqqWpC71r/syqONSR0O/v78fbb78dy8vLsb+/32x3XF5ebgRe\n03IaWBcKJxCF3E+eUX4u4ZTQ0l1wpUWhd+EnNPe6FhYWmi2+EeN76LNNPtmKMP3OlnVmQi9GzcYj\nQwyimbtlLqQsg6venLaZInbFwjykqyvfTAHRUlKpltyqzOfnScWZFSZdNE7uRg6Hw9jZ2Yl79+41\n22nlKlFJZ8JdE/jsd1t6bG+t5WA4BHZf9/z84fLc/f39uHv3bszPz8fBwUGsrq7G6upqjEaj6Pf7\nzeom+vSql//ZHjKM78V3iK1lsGQ4wbMMjvv/0Wg0ZundukroV1ZWYjTKVwvKNdAipMzSZ4Kj5KhE\nDBoxvsWUAuuBLE4NlpaiZuiojTdK7pLKVHnZdKU+GpeszxpDreVw5eUB1cwC8zr7SFpS2DVtLKF/\n++23mzF0lJEpEh/Dkqs0SZrqcVkUdBcsBqVIbCkBCf29e/ciIhofSf7+8vJyIwQZrGagStZ7bm6u\nse7OPBJmMRlfPiEB9jL18aAb/WH65c6chPgq21erkUmkdGrBLhdAlqdx8cAdrRzzSZnWLDaZ0BUh\nr5esJK2eBNgtGsv0trIPjiD4rTKo+PUhnbIYCsvlmIxGo+ZEHAbuhsNhPHjwIA4ODhrIXxPUksJ5\nt9LU5unJPGQ6am/30yIerWTq9Xqxt7cXETHmL0U8PH9sc3OzERJaUyIIP4xDdXERDpdJRjwaVAl8\nv9+/sBaAikr98WOUMoVQ8qPpD1NYBTVpWdh+1cNEgfPgpI8VBUjXKAQ+W+GWnXTx+t3NccQhmvPw\nEucbr08f34vgiod9cWVKwefsi9rmkXyvR7yrMo6Pj5szHnXIqz7D4TCNf7ShM9aX/Z5UOUz9DTcZ\nvKf1o9YWEbhcURZfUx0zMzPNwhsGxFSensmEfmZmphFuF/qTk5Ox6THBQll6rvqjfxwRTcBIh3mq\n72dnZxeO6iadnBEz35g0dYXDRCWTQXQXKH27wKtuTtXpfiaELnAUjGz2QX2anZ1t/FxvI109pweR\ngNPLBYhoQu3Q6k7CfRd6Wn6H9xzL8/PzZppZs0x6gQXHymUiUwAuPzWBn1QBPBZ4T+vmzKkBcT9L\nROPpsHqm3+/Hzs5OA6sUqIm4uPosYhzaMcjkdUo5SNi1rVXz9xR6+bpkBr6CirAyg/xsVyZEFBD2\np+TzET1kawaIMlyAHVKrD4ToPsbuUjkM9/UF/CjRrWLZDt2pROjSEUX6DAD7TT7wgG+mbB2VeP+l\nTATlFaHXFPP+/v7YuPvzGZzvIvBZ3i7psZx7TxhJyCVCS1i4ntwHXlN4Eth+v9/ArI2NjebwS0XC\nI2Lsd0Q08QBnJp3BJzjf7/fHDuKMeGTN+X54Zxr11S2RD2gt6MVnPDZB5VRiSvYtYjwW4Ed1KbmV\npHD6PY6hlLfo40E3b6MzPFEF26p6GUzVnniW51NqbB+RDl1G9S+z5s6raofynp2dxcHBQfNmnq99\n7Wvx9ttvx/3795s31ZBvMxnw3z4GJd+/dO8bxtJn1oHTFWI8DYqCWYoqe3Cn13t44s3u7m6z4EFW\n8+joKK5duxabm5uxubkZ6+vrzTQYj+/iphNCOQn97OxsMyWYrfKbmZlplIP6p3IJ6dnmDIYpLwXX\nP3wmm76joJFOSuojlQZfrOCBwExwnEFL911BUJjcvaAwOZ0osCyHh4notVBZWa4kPeAmRXd2djbm\ntmm3ZRbZj4hG8c/Ozjb+++7ubuzu7sbdu3fj3r17cf/+/eZ9dB4MVcqQiMuLK39HBDQwmeIopamt\nvS913D/+DjNpZVojCb3Oz7t//34TRNEGnRs3bjRTIxExJvQKFvnqMwXgxDBaAzAYDCJifN6cwTFa\nD+9rzRfTNReOGoxk7MEDeBR61umWhq6JW3q1mcJMxVRTBhEX59FrSsz5IaL8ZlqhBhd60oU0pYJ0\nmtJlVJuEHCTUPLOOY8txPz8/b6aR33777Xjw4EHz4fPeJ9IuM4yZ0Du9vmEtfUlj8ZtElQC4X+XC\nQuZXcGRnZ6eZ6tK0ye7ubty/fz+uXbvW7M6TRpdWJxORkOfn583qrQw2sm21aR3vg/uytPg+PVcS\nFKej58/cDNKv5EeyPAq/kgf5XHGRFj5F57Rwl4RRcKezjiPTdw1JcQyk2OiSeFv0m0qCG7T4OTs7\na1y+xcXFC9ZdPJZNPWZ0Zx9dYTnt2V/24zLp6yr01HA134Q+PQNWWadJUArp0dFRo2GHw2Hcv38/\n/ud//ic2Nzfj6aefjnv37sXu7m5sbGzE2tparK2tNcE5WjS1mQtP6JfRN2bfSoEsf45z8fQf1W8J\nvgfTMospOnm9mTC2JRcc0Zfj6BaKVthhvAf9SsJOZZi16ezs7ILQE1llaEd5+CkpNwYBNbvjZyfq\nc3JyMnY24sHBQWPZ9/b2xqaRqWhEO1eW7D/zZe31tvszk6THJvSEKe4TOmGUKGgqU+UeHh42wb37\n9+83cH5tba0R+OFwGE8//XSMRqMYDAaxsrJywWKpHkJ33hdj+1x0JuSZ9XGhp8Lx1XqloJ4H02pC\n7ygpS5klzgJJJZTAfrEtPu5ZJLxNsbnQU+k6tJey4Q5EIkpHQGyrhH40GjXz6ppv1+fo6GhsKa8Q\npd5FR+Ol/ji9GHz1/ncR+HcjTQXe+28lEkJwbG5u7sKiFz7vCEBMoAiqhEXCMxgMxoJWEQ/XuK+u\nrjar+Hq9R1Nz9APJyDWYzPr8FdQetXZG0yA7UqDCZP8za5zlbbN0zKfftNIu2JnVcqH3BTjebtLE\naalr7BeVIemqlLkYctvc2vteBG8n4yRyDTX1tru7Gzs7OzEcDsemHnn8FRcVkeakPQOCpA3pCTRw\nIQAAHxxJREFU2ybwriwyBNOWpjZl50yjb2+kCEkYScjrENPL4ifiIaEF9zWtJwj39ttvj723LuIh\n0eSzMajoATRCczGafpdWcNGV4YEirvndP3fmzvqoctzqK7kV9+CSrqu/Pk78+MYf5qHwtVn2DOo6\nn3iglwrGkQxjNBLO+fn5sb0CDApzFodvOZKF39/fb96pyNerzczMNIbED4bJaOaBRk+TWPaS8p4E\nJUxd6EsaTQ0WEXX2HTU8iedTV0pZpPbw8DAePHjQwHKthb5y5Uqsra3F+vp64+NrJZ37kZotUJkU\nIM0fCzG4BXU6kFk8nwulQ0IqG8JHzipki2hIZ1cKLvSaClP+TPCymQqOQba92F26iBhDc6RDJvCa\nnpyZmWmgfib0vpPu/Px8bPxccfGgC53HSNjO10h7ygxPJuzumvL50jjV7jsCpuC3palN2bllZvKB\n1vym3vapwAk1szqZuQBuKfWaLN/ttLm5Gdvb23Hjxo2IiFhfX2/ebjsYDMaE/ujoqIGJnI4ZjUaN\nVedKwmygM0vvkNeDYNl0FIWf5boyIE34rFtfJcJj5uFMiaxkNpauPDKlTRq4Vcx4xoXeIT/z0t/W\nkehKVNhcei1kKauuNfJ8l2LpPLuSAmXbS8uku6YM/fAe83xDWPqagCtRQPkMCUei0a/LmNzr10IU\nDroO3Nzb22uitHt7e81ino2NjVhdXR1bfivoxzeRZP4pEQm1fmax6UOLWd06ZlDWmYhKgME80seh\nPQXHhUWoRfm4es1X76k9FAb9Z8CzJCRehmgol4o0KC3jpStBZUlIL0Hmu+C1z4IvTBWUJ5zPXCtX\nuN6fEpyvWeIaOlNdtWe7KpapWfqI8ry9DxjvRTwKslAQOAA88pnWVb+5e2s0GjWbdrQT6sGDB/HV\nr361WcW3tbUV6+vrMRgMxlbkeRszoRej6r40Pdsmpu71xuegFUeg26B7bmWzKUMXKlcM7pJwhZu/\nqovlMLpdG2O3zNyM5Eomc8P0rUCiUEZJUdWEXQiPwk5L7m8rFsQXyuQ0oOjF/xTqGlJxXi4hsC4p\nE/6uzzJN1dJT6P23M6XuybpIQDTwHGxZFAZo6OtKYUSMv9FzZmamEfjBYBCbm5tx9erVuHr1amxt\nbcXKykrz4VJevio7I3rJt1P7CH8paJyWotBnm2X43wNnbEcNEXDvfknoVSYPCPVyHc7WYi1CFK60\n/Kx++uXkFQq8L4hSW1T//v5+7OzsNPPoUvTD4fDCcedssytQ9lf/OaZUwiXDRb7IUoZ8SvfaympL\nrUJ/8+bNWFtba6zCF7/4xbh792689NJL8cYbb8TNmw/fZbexsZE2TI3OhLz0P+IRk1DoaQFc+1LT\nZ/Ar20I7Gj1cySfm39jYiJ2dnWaHlBbxrK6ujv1eXl6+wHjeb8I+t/QSdu7g4+q/TOhZbqYkmc8h\nqSe3+IT4vkFGCtUtP2MKmfKjoJAeys/xK+XJXD7yBQWPewj0f3d3N+7duxd3795ttrgqGk9h91mU\nLJhZcinZFl5zpVzyy31c2A6/XhrHLvCfqVXoe71e/NVf/VVsbW01127duhXPPfdcvPLKK/Hqq6/G\nrVu34tatW50qbGucM4uIKd9cMJOCTSbn2mhqZ10XNNO3nleQT+v49WpuWXpF+RXpX15ebj5epx+V\nROZiYJIW34WQG3eyMSEj0kqrP6SJItQZ8nBUJIVIhpfCnJt7eNrw2dnZ2HkADr9Lq+JmZx/uTDs8\nPLxgvdkvFxC2SzSVwuAJsxTe09PTZrWctl0zMOcBOdWv5FbcacoYDdvO3/wQIfmnNL5skxsyr8fv\n1VIneO8Fvfbaa/H6669HRMTLL78czz77bCr0bdC3VldGXA1m5r+qPvfxnPgSPC///Pw8Dg4OGoHf\n3d2NwWDQfNbX12NzczM2NjZic3Mzrly5EjMzMzEYDBqGJjJRW6kAJCwZZKef7f5qxiTsq+IBpQM1\nqXSoCLLdZMov2vDDPezKy3GofdRXLn7yE46IIBjpp7Cz/xorCT7h+snJyRik51p6zr44v9JqOl18\nDDyG5Pzm8RVXurU2OF+XUoaG2lInS//DP/zDMTs7Gz/3cz8XP/MzPxN37tyJ7e3tiIjY3t6OO3fu\npM/ylFUNsDfQhVLXSVglEp4rrxzml8rM8lBIz84eHtIhyK+XZ/T7/djY2GhWaR0eHjYCv7m52Qi9\n2kFEwo/gaSagulcLdnFMCI9LQs/3+NHSix5UBGRuCRSnyERvwX3OUFC41b6I8c1FvV5v7GUjKoub\naPQpoRC+tpzTbTxXnp/hcDg2z+6xhsxNIr9QuVHA3W0puVyMtbiQl4S01B7S1XlC6KWEHDy1Cv3f\n/u3fxlNPPRVf/epX47nnnov3v//9aSOzxLnSEvMqZURwwc+snT9DgmWLephc+7Iuh4q6JmvBtLq6\n2kT5FaSScGvunkuAue5A5WbQjXDaUYM+ETGm/KQ4IqJZt677TkeW466Gw8aachb9sog/acujyNQn\nnYRE4SJKkdulj6bRdJ9vjCn95tRbxgMZL7pV7jIF579dGdKdKFn0jLa6V3JFfJuxXstWSq1C/9RT\nT0VExLVr1+JjH/tYfPGLX4zt7e1466234saNG/Hmm2/G9evXq2WUCMNU01KZIpAmjri4Qs79S0Jc\n1pUR1gdf/i2h/3A4bBjy8PAwtra2YmNjIzY2NmJlZSUiHgkiy/I2ivl9oDlbsbS01OSl0Ohzfn4+\nhgroIkTEmAAQKclSqtwS7UsWkHBb94hUhBY4Xt5uFywuiVUdOoJKPjkXyLiCyD5qH2ctiB7dauu3\nQ3Ba9BIvZ/9dUZboyufVDq6JqKFY70tbqgr9wcFBnJ2dxerqauzv78ef//mfx2c+85l4/vnn4/bt\n2/HpT386bt++HS+88EL6fI0omUZzomYdyXwu16jKR+Z3eNamvcW0IrwCUDMzM7Gzs9Mwo05O0eIf\nReZ5nh4toDOkCz3bSQjs7+Ljm3tpoYUONDvgwUTVIaXF1WZUjvRFxaBso8r1yLdeIJpF2dkW37Pu\nQs98PFHWXRLnEf/typb3SuPv1t0VQg3dutVmnCJDAo5SM2OklM2eZIaqLVWF/s6dO/Gxj30sIh5C\ns5/6qZ+KH/mRH4kPfehD8eKLL8bnP//5uPm/U3Ztqeab+EC1dYLMFPFoQYfuuc/GskpEzSCWyo54\ndKKu1rcLmvJtJXp2ZWUler1eI/ScApJr4P4i56k9ek7EoH5QOWTTSTz2S7MBDqGpTCR8pCsTac21\n6kQPtO4aI/aPwqxVcKSfKwe1i0dI+7LWki+dwebMbWFb3dJzqTD5xGF4SQHUUsk/Z/3OnwxCk98m\nrnvUFRNMWvD/Mj//+33XbLVUIi4tEae8uKzVI9jZgGaamJF0Mq76po+i+foI6ut8Pre8XAnGN6K4\n30n04jCYMwJkcvrwOonGn/fg3fn5+Zjg0wf2+ridlMJKS6+P3CMJenYajS9tZp0MRipgV7OMJQjs\niMOtuPvXPu/PRGur9mZIw5cMU9m6gnF+zuTBFRsF3ulw7969qjxNbT89NXOWh9q3VlYNZtFSipFJ\nELdgNXdD1+SnuqAoKq4o8YMHD+LOnTuxtrYWV65ciatXr8aVK1ea1XxLS0sXNg15UI4KQErHl5oy\nQKYPFdhwOBzL774jEYL62Ov1xpSICz0j5IqE8wgp0lYKTgFIKjZF0jW95gqDfMAx4+wGx0X9obtU\nEv4SZCfPeWA145ea8XHepE/udPdnyIMlA+kog+VMkh77Cywj6nA/UxwZ/NQ9MQCvsQyPMHsZPnCE\nx/K/Jezy4+/fv9/k6/f7zc697e3tZiHPyspK9Pv9sfId/nKtuKw2p/C4BNUtUxb9Ho1GY894H0tI\nxsvTdlPtVSD0pjBFjM9OyLpLWXAHm4TYIXm2LdgDcswnlEDFl0F/t/TON+TLrtF65xvS1uG353GE\nwrawnkzYM5motc/T1Cx9ljJITR8rUwY1SO5a24WeVsQDISUtSyEqBXYkMLJqWm2nVWFLS0sxGAya\nIJcLvuqgNRXCoODzcA4iAAYHS0LvS3kjYuwerbJHyLlpRX51aQmrILlQgLsNKtvHT3TIBC1T3iqj\nNC7K7zA8g84l652lbPxZH393VRBtZWQWvk02amnqQl/raKnzpTJKeVwxeBIz01p65F8KwiPehKNZ\n/RKS+/fvx8nJSdy/f39sQ423kxaIUJ+xCe68y1a6lRRTxLg1V50SGCoS7jbTVJzKYuDOl/O6G8EY\nAJGM2uJrN9gH1sk++Nw/82T+N59T8MvhfY1/2LaSEsrQgtOitCKvjT/b2lXL00Xwp3IwZiboSl0G\nQPkySKRnnZAlTeqKRVZf/+kPO1O5D1qyJJpP3tvbayxyBlszqKfr3ATjG1NKQp9FfLkqLuLiPgV9\nFDDj4iMKFqE/mZv9Y9DUV18qr2Yx3Hpx1aLTmi4NFbBP3zl/Mdqd8U/JwrcZq4z/9F0T+i5lleTB\n0agbHdKtLT02eO/Eb8ufPZ89U9KkrKekBBzyl4I/7B8DSipPlrGkePjfLRoXFnGrLRnblZP7qo5g\nsoNHRqPx1zkxSs7tx95+VzpCChxPMr4zqNYdqJ1UrirfI920ulRCDN5lY5ohA+bNeMctaU1gPR9p\nT4HPhLpmiLLktK0ZvbY0tZdd1OAN72fwxTvk9xxe+TOZ1iwhgxrM9LbX2uZ9LtHG2+nWLCIuWCsX\nKof0tGK6nlkcKirl50YgCg8XGVHJsB18Rn0gnTwqzv7StXFFywBqpohLSflJBx83t/rZeLYJbane\nbJy5IpD83ia07EsJiXQV/KnBexLUfSu3dpkGVsqYS9dJRM/PPH5dqTallwl7pqgolMpXmpoqlc22\nOGNkGt8Z2O85w6g8tkmKQVCaZXLr7tzc3Ngcu/rC/rDtLqQln9rdKFfEvoyYffKxdbpmirvNOjod\nM0PTZrXZPo6jIxCnhafMSHq/2Oa2NNXXWjlzKjkBS5rMy+3SaSdqabCdKVyAsn5lg878LpDZfaYM\nhpZ8tFq7nFkp8O5n+jO+XyDi4dy7jg6bn59vovgli0YLzXn/kqVn3903VzkZ3TN6+LMly1zigYyu\npYBcyXB5OU5jHy+2p2bw3MCxHXS32tJUj8tyhi49k3W0pE31v6QIInJ4z98lRqn1KWN4lul1lCLB\npToy5nDFkTGV159ZqxKN3AenItD23YWFhbEXi/j8uDNjbbrT+1y75/0v5SnR0/ta4yfmc3q5wNf4\nlYqoVmfJknfpTxdl5mmqR2CTUJkf6vn5v/Y7s6hKXeCOpxJCYb30Fb2ebBqwy3yxt8GnqjKh58xD\n6TtDFFl9Kt8DUb5mQHm5045KMBP+NqtbujdJahPkmiL150pwvtafjPco+DWF1vV6G1p47EKvBhC6\nZfOpETk8rJXZdq8NzjOPnm3ziUoKh+WpvtI0oFtHL9/7kB3CQJjuG0uy/pMObQEwtZEHW3C7rq5r\nXQGPnuoaXCvRsmQESmOSjW2bEGeQ2n9nEDuLU7T1jUrf+TrjNSKCrG8ZHboodE9TEXoSyiO6JajG\nfKWBKj2bwe0uBMwEv6bNS0oms/Clcmvt4XOZcsk+pTJYrzNxqc7SHDd9de4+dIXuCi+jX0ZfMj6v\n1dIkCKFmCLK2efuy9RBKHhzl8x7M5bOXQTiZ0uiSpubTZ4xUGsg27e0pE/Lseq3MzOpfFnJmUJfz\n+T6nznxuDXSqDYWVK80yS1/rWxs05bgQlZydPTxKbHZ2NnZ3d+Pg4OBCgG5SGpXa2GaVa+XU6qvx\nQ8kIdEGJ2fVMGTOuUxP20nhmivEyPPp1FXqHGs68JU1aSzW4pjpKz9QIXIJWJcue1eHaXf33qZsS\nzHMrrGvZFBYF3+ngzFqiVWbF2faZmZlmc41e/dTr9cYOosysXoaYSL8aHX05dO25NkHOFFlb8rHI\n7nUth0iHbSn1p+QqZvxYQ6BtaSqW3rWfB8GYN2v8JJa+K1zqMqCTEjTrTxuUpDtAAXcfnoJJGmZu\nQ0noPTqfKRTW4eUTAbjivgw8dTrwu0S7SS3vZerPBNOVWZvLyXy08CVa83mvo01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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To make it a bit harder, let's push ``mid_vol1`` 10 voxels down:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "moved_mid_vol1 = np.zeros_like(mid_vol1)\n", "moved_mid_vol1.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "(64, 64)" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "moved_mid_vol1[10:, :] = mid_vol1[:-10, :]\n", "plt.imshow(moved_mid_vol1, cmap='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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R8VdrCBguCPrLqOrj6/k9F+CGWZCf4WDJ0VDRMoXKFL9mDEuwX3W67NNhcTaC\n8J5yxLa30ZXCe/+bWc5M8fU7s+qEvqWEDRNb8jZa7766uhobGxuxubnZHAumTPzy8nIMBoPG8/hW\n16mpqTEorPoPDw9jOBymMwIO2SLOjRGXofq0EnlFr8NkoPiittAr0jAweed5kBq8d/KEoshhdDYT\nwqlTTq/xXqES8Wh/f7+Z9tTU58HBQXNYhO7l3n16dQ+pMuXNFCZT+EypfIxKBjl7po2ycXBPX2pX\nia50cQ49fMnKknxRBbPNElTGq71er5mqkYDPzMyMQfPV1dVYX18fW/7Kj5J3g8GgaY+SXMz2U7Hk\ngeRdOaftIYDaNjc31yiHLwnOjB69I/sbcZ7AkmBJccRzIiDymvUwGeYbfliGPI4ri4da4lXJGKsN\nus6pSg8DFhYWmpWEi4uLY6iKQq9FSPrwf84iOP8yqkHz0n3ugHi/84CKTMOi3yUPpfHLHGjW7oyu\nROkzyFPy+nw2S9xpcOnt5LkcSk5NTUW/349r167F5uZmbG5uxsbGRmxsbMT6+nqsrKyMKZMg/8rK\nSiwsLIwJjlbyqR2KfXU6jL57pjhL6EjpJewOw8UP8oG88NjO0YTCIMFZF8zswxjXdwMS6nocTRju\nfeA6epXN9otKuQquF5ifnx8LQ2TwqWhM8h0dHcXu7m6zq1Ahgnheg/Ulhfd7ndiO7Dk966FfphtE\nOtm1TH+6evsrVXqPo7IsJRnFuXNmhn26SHURTuvT7/fjmWeeib/yV/5KfOYzn2kU/5lnnmnWnOsz\nGAwa6D8/Px+7u7tjW1ip9PQo8vS8170g28gzzUp738lD9otenEqfTUOJp+STj4cLqs/1R5wLnvjP\nOjx5xnHngiCV7esP2D4iCc/+M+nnXptz/6rv+Pi4WVastfzityseDa0rj66XPGvGa4YULgs+rj4m\nWZmZMcjyCR66lOhKttaWPH1mUT3pQ4js88I0Isr68lCKhYWFWFlZiVu3bsWtW7fi05/+dKyvrzeZ\neSXkuKBDXiIixmCk4KoUK4PkVCAPS2qC40ro897kje73sIDlZVCbY5GRw85S29wgOfRnGR7PcxGS\nnqUx0YcZa7aF89EZItI9qn9hYaFRcqEfTQc6j2vwuBQGqL9tyKBE2XMZ2uN3H5cMTbfRlSu9qNS4\nqampJoGm+2jVPbkiz9Dv92NlZaWJ1VdXV2NtbS3W19fjueeei2effTaee+65mJ+fj6mpqbHVX5r+\n0Z7y0ejcoNW9AAAgAElEQVRh4o9r5l2gRQ6tCYHdC3vyi0Lnnp7ezIWeMwZUFiUDKRhMzsnz0oBw\nPDJjlPGbz1DpPMTSNJxmPdR/N0pUevVBiVeVrY+MMmcn6F2JdpQPUFvkCDgboNBMctZFaWpKnUHv\n0nOZBxd5XsDHxqd2HVXW6EqVXt9LJO+gAfKkHZ93qNTv92N1dTVu3LgRm5ubzWaYGzduNHB+Y2Mj\nzs7OxqZ/GC6oXAkeE0Lu4ZiNZuKL93kW2w0Hld6nHZnVl2HTIhcqvSs1lxVHjC/7ZY6B7cgSjlTy\nDDHwvojzpCVDKym8jgKrIRomRj0XwLZqOlJHcLFMN67T09Njy6UHg0GzTXhnZyd2dnZSJFRS2oy6\nIAMfd9cHv0ZZrOUTHN5/opRe1GZFJYBSKCXFPJZ0Rmhl3fr6emxubsbzzz8fzz33XHzqU5+Kzc3N\nZu59aWkphsNh41H0+h8yjIk4X+ihe3q9XoMYuHPNkUi28MOV3hWd3+npmeiid+TcNJONEn4PhTQO\n3i735q7sNfjIcfH5eG5ayuJwLtnlZpwMOSisUnJVHlrt97CQZxtot+DR0VEzGzAajcaQlMfEGY8y\nQ0Bv63F6jUrwnuNRyz1kSv/E4b1TprSEZIqrtSvOp1h0v8NsevlPf/rT8eyzz8b169djbW0tFhcX\nG2jJhSvZyjP3PhHnDKZwUgnPzs7GpuvoUbPlqyozov2UFnrhLLkl78nZCt4jRMLfxF9CdyqhG58s\nP8AxK8WfNBwyRkQZ6n+2cs5zOxRqNxY1JSV/e71eM6PBtQpzc3Oxv7/frPsXgvD9Aq5oGlfygjLk\nlBkQ51VmBPx/b0PX/AHpSufp9ZtbZ1poxW0HBweN5/XYhoxW3La6uhqbm5vx6U9/Om7cuNHE9ouL\ni41CUHGl9PQMCiOkwFSi09PTBu67oDK+ZqwlBZGyqc/6W1J2/s5pOIYJrvSZZ/TFLyIqTEm53Sh4\nss7H1xNarvRCSn6PT/exPMpExPiUmMaRRMPqSEoGULNBUnjF+FoAtL+/H3t7e7G/v38B9qsc9pd8\n1n2ZMcwSftm4d0HDbYijjZ7ocVmEcZzGkkfO4hQqPafl1tbW4saNG/HCCy/EtWvXmgy91sl77Cil\nFzyXYh8dHcVwOIzj4+Oxs+38mntJXw/OtnLqKlOMGs+y/o5GowYuO39d4UlMEGbenG3KYD4F33MB\nGaz10MXbypCK9bkBy5CB756LOJ9ulMLTcPkOPJ2ApOSt5vMVtsnxuMHxUEbGyfMiGQLJILrfU/L4\nWQjhRrILtI94wrvsnIGMQT2T6vEaj6Xa2NiI1dXVZhpOAyAl94SRFJPWmVlwCZWujUajsYM3lGzS\noHs97Jvm1Ute0D2pL9bxAefvMgD83T98noqawVUmkzKDoHs0DrOzs2NjxQ8hvb57WOaeXnX5Qh32\njQuy3JD6VB/JHYf6Ls8vRMjtyVJ8hYEeTnDMfGy6QHCGLZQNPlNTZr/2ifP0opoV03VaTI/vdMor\nV89du3Yt1tbWmreqaIrt7OysUTp9lPzhqjhdc4HiYFLpda+y/P6s2h1R3mLpXpRZefdgGtxsCk8L\nXkp1ZeEQf3fj6oLosJ7joBOBdB+fiYgLCp1NWYp3HCMZf5ZH/nDtgntIz/l4XRmiEdSXAeC46PVc\nXo7LCI2pxsahPse+JA8ch7Znsvu6KP6Vx/R+3QcnYhxKUWgZky0uLsbGxkZcu3atSdpR6elhOIi+\nWMPnuTOvo4yxb4HVLi9PSLHvGVzLoLOEn7CV8JZQWGUzyUVjRX4yruf/hKFuCFSexoLeh15e/KbH\nZn89hPAQj/wVD8/OLq7Z9wy/Gyp6WecbZSpLGEq2dA6gt5n859RuKeRxZKX28S/bnf3OcrxvWZic\n/V+jqtIfHBzEF77whSY7/aM/+qPx5S9/Oe7duxevvfZavPfee3Hr1sN32fHstDZyxmTxoDNC02Oa\nd11bW2sOp9zc3IzV1dXmGGkpjQbD4bMGfXp6emxnmnt6Mps76iQADrspjIwtKcAuLN42CbgLrfrj\nMbXqIs94TwblPWbOlJ6hD5+JiLGpsIiHyk3lUN/kscVTn8Ik39h/fhiW8QRgGi3/OE8YNmkMfcZD\nC8KEfjRGHIfR6HzZdBZSMeQrKWHJY+uahwWZoWB4wr4+Fnjf7/fjN37jN2IwGMTJyUn8rb/1t+J/\n/s//Ge+88068/PLL8cYbb8Rbb70Vt2/fjtu3b7d2kN7HEysO6ZVt5jPy7lpso4/Wy2s/PFdzCZor\n805mcRAJ3V1x2eYM/qseVy5HCvqNHozPOVG5iXQoDI6GMuRERfS/tZCAa/3ZN00Dsi7OgBCRaJmz\nw18qLqclVb8MscqgQXYDzvEQvz2kYft9f4b3Z35+PpaXl5uNPjoHURt3OLVHQ+L8dl3IIDwNZaa0\nbH92TWVfRvFb4b3ei3Z0dBSnp6exvr4e77zzTrz77rsREfH666/HSy+91Kr09CASYGXOXXFcgPX8\n4uJiXLt2LT71qU81yTt+tD3WBUULcXZ3dyNifPuosvj0IBkTpfAluJf1XcLL+X2Sw03yyr0yBZS8\n4j1SmszbsL36ZFBUxHEi+pLSMzHHnIsMocrnOQHe9wxFqB2cwfHcAPtA48Vp2QxN0ghwX4B7aEF9\nreLTwad6A5A+SvJpZSSNK8eS48Xwi2iQeuCy4ONTQwuPRenPzs7ib/yNvxH/5//8n/in//Sfxuc+\n97m4e/dubG5uRkTE5uZm3L17N32W86gSIH5X0iRLgvnctjz9tWvX4oUXXoj19fWxAVFSb2lpKc7O\nzhqvLqXe29uLra2tZlA1sJmXL3lRfuhx/F5CMAqhx7Wl+WsOoAsq+ZLlPbwt4p/aQohMb+fCwjEo\nhQb+P0MCGUPfmyDy8VY/GZLJ0Xh8T8UncnGDpraoHX64qB/ooXbIu09NPVyKvbS01MzfP3jwoHnG\np+o8xGP9WfjBcXNnw3EoKTxDTxqTNmpV+qmpqfi93/u9ePDgQfzIj/xI/MZv/Ea1USR5cre4mUCK\ncVmcIiOhTTUbGxuxtrY2tq46i8e8Pk7laWGOw0YKkQujmEwBZt+zwZEgEJKLpHwZFHQeU6gdrtMo\nsF4aBee1yiXqYf2ElKX2OGTmklcqBI0eY2vPobA+tZ31eEjiBpb8dlL/MgPleRoaMpUl+ZOCCfpr\nYc9wOBxb6ek5h4yPXagE+0k8439qaioODg7q93etfHV1Nf7e3/t78du//duxubkZH3zwQdy8eTPe\nf//9uHHjRvpMpuyejfYPvSUHSEk8vt6Z59YJWurNqxpIZprn5+ebJJ8n5sRgegtaf28fF8qIPEzR\n/VR6FzJaaZILiMIEv9cNkce63gfey3XxetbRVqZ47CfvjRifpmP8rvFUklL9keJnfXbe0zD79Qxl\nkJgjyhQ+65//JpTY651v5eYxXlrJt7+/f2EakjyrjTXHlwbNnUbJgGQ5Gqeq0n/7299uXn80HA7j\nv//3/x6/+Iu/GF/84hfjzp078eabb8adO3filVdeSZ/P4GZN6T3m0bPcecf5eb41NiLGoJ3HblL6\nXq83lql3pMK5YFp8CoMnsdwTZR6LsJQwkPfrGf7PmFCKQkWmB2NbaLi8/e6ZGWaJB0yuZWPkkJ9L\nnT3RliXX1Pe28EZ9zxABFZ6e1ZGeftcznpfxXAG/U4YE/efn52Npaak5E1HeXrBfz9VyKBzvjEoK\nX+NTVyRRVfr3338/Xn/99YYpX/rSl+Lv/J2/E5///Ofj1Vdfjbfffjtu/eWUXUbu6X36o+Tp1VF5\nIr0/TvG7vnMwOI+rcIBeWcJNQVNcS49BgfTv3hdCWMaoLoAcRGaYWV4JwmVeSHVH5IY14nx9Pe/l\nuLAPmhcnD7JxzNrlGXItWXb0kO2SLAky43oah8yLUV6c526Y+Rv74CEHP5IbypF4xhN8NV0s3vMA\nFucbv9NQZ797/7L+13iZUVXp//pf/+vxO7/zOxd+39jYiK9+9authTup8R7vZNAq4mFOYG1trTnj\n7tlnn43V1dVmt1TEuFBliyf0nUIqi6yNFxJcxqKl/ftdmEpjQwSgtkRcPD9Oz7knYk6AZZN/bJfD\nSfLeiRly/e/Pu3Gm8rDdTl5flgepeSjC9AwJ8r4sCeZlu3Px572PHIsMGXCajgZO7z0U1NdfTdnK\n4bR5Z0d7mazUnq/RE1uGyzjXYaPum5ubi/X19Xj++efj05/+dHNMtZQ1Yvz8NqIFRw6EdzqVJ2Jc\nAKX0yur7vLDDSz2XxVpZ+zjYnihzQaNR0/0+FedIgvU5zx2O614ua+X99LJuuNwA1ZBK6XrNaLA+\n/+7PuNI7muQ9mdKLD4T0KotTeSKGI+oXjwRbXFyMtbW12NnZifv37485Oa+3ZOxKfGyjxwLvHzdl\n3jLzpBqE2dnZRum/4zu+I5555pkmlmesybippPQiQf9sGkkbafTxZbFtA+JCyekcJrNKcTZhN3lB\nQ1JSECpHLTlFhWW73OC0GTq2uY1K95V+Z921mJ88zwwon8mMGMtw+YmI1NMTVWr/hnZi0ihrelgL\nszRjRCfkiM3b9DghPelK1t5n1j5rqBRSjObCm5WVlej3+xfWR3uCx+ugwvC1yxnDMwVzRfKyM49E\nAWMbS8roaCVTMuUDMkXJhEWGw5FDJlz87kazFip4/J+NR1YnZYPfMxRD45iVQx66Eff7mOfgs/pd\n/eXyXK5h8DHN4nE9p2QfT1I+OztrXnvWpqglXWnLt3QxAFeu9FmCgoLqW2ZXVlaa98cpDhYjaZ2z\njLYrvBJ5HGxXzCybmy3cUfnulRxGusIzIeVKX4Kfzkv2jTCTvKTgii/eHl5jeyLyl2QwLChBaE7B\neR9ZhpO3ReSzHJkhKRlU54vaJ6PmhtqNPr13Vi8RAnmsPgwGg+j1ek0i8Pj4OPb29i6U0YXcwNJA\nZuihRleq9Mw0u/WSB+a74LlP3pXeYzCuS6cQq3xBMT/3zheJ6DkJA5U+QxElJa/lAyisLtCZF5aX\nJ6+oSA5D3dNT8CmovjDH0QdDJDfSjFPZD8+yszyWkZGjEvWX6CPjkfrEPkqePAmXnRjkvFZbfKUi\njYLLiJ4lv/UexMXFxUbhdfhJ1hf2mX3PkF/2nf2o0ZUqPX8j0Ttps4PeQrO0tBQLCwtjh2NwKyZj\nZQqlyqXAuQBwCS5fUsF4l4LiCkRhzBBCZkhKnr00WKXfKbA+hefrCDIILiWhZ3IFZh/dcJRQTskj\ncpy9T5QNz3XUeOF1ZeVmSMTbzfo5vel9zgyF80jfdb6+zhzY2dmJra2tWFhYaGTYD+VwfrAPbuja\nYH6NruQ03JIAZh3WlMfKykpzEo6YxDlSnx9mAqokkFR0noXHgys40P6uPFcAfXxBh5++423lsWCZ\ndxRvXGCdZ5nHU/89GUjUwnBFipDV3cUY1fogfnINP/+6Z8yU11GIoyKVkb0O22WO4+h1sR7yinWT\nl96HbC0E+69zHG/cuBHb29vNgh69ast55+FTif9dPLvTE1V675gspCC+TrKNiAaORsSYV9MAsCwe\nikHLroGk4runJ7z0bZM1YcoUn6vnstkCLSoqeTVmrt3zkoeZx1GZnIFwYWeM631yBauNsWe+PRzI\nZiN4H/lSMm6lj+TBeVvrj/NZ93ufsvq9bWp/lhdhGxYWFmJtbS3Ozh7OSj148KBxQjRGGWXOsgT3\nu9ATUfoSxI+IRunp6SMeCi+PMKbnpKBIkHk2OpWSxsD/RowfV+0ezAVYv7nC07gwGcTtqKqLZTnv\naFRc0Wsekn+5CYRjQX5JCZn8a8s3ZGGQQgUaTrbVDbTLRs24uJd1xfIsv5ctPqosts9/c4PryIJl\n0tNTFt2oydNLHk5PTxtvn9XvVEPI3t82upJ5+q6d6PV6zW4mvm9OAiNF8nluDRL3z/PVR/RsHm9T\niHygNJhUupIn9HCCqwPl0dU/JdBOT8/XxkvIRF6Oe6qS53M4zDIyY6F7HTFkUNbrqLVDvMqUk/+z\nDD6j/907u1C7A8gMVAkKZ04oM2z8nfUpeewZfsoHc07a47CwsBDz8/NjL9bMchk1I5i1tSt9rErv\n0Kmtka70eh2SvKkgOJNP+p+HYXiG3qFb5i2o5BzIUr8Yt2dCz4QPD1hQPRIA1cdy1M4MQdTmwV1g\npPSEjRmkdoPmZZYUoUQ0Ivqfz/tZCSXP5UbIEYL+1saKnrf0bHbds/dEZ5SVLLSgwvM1XZpB0oKe\n7EShEl9K/Mz41kZXovQiF6psoGZmZmJ+fj4WFxeb1w/R00uQORhnZ+fvpxsOhxdWcXGgavCQBytk\n551RITUI7q3o8eml9F27AvW+dd/Tn3laJiCzeggv1RYvy/vqsJvjU/PcHMtSmFaLP91Y17xy9t3r\nbQsZiU4clvtvvE889WlQ/u5T0G70eVaj+i6l56rQLBfj/OjC57YQSXTlp+G6otDaSuG0DdbfE0eF\n50BI6bWX2RNKPHEmE2bVz+2mXBnIGF9tyFZkZcpCoVMZQjT6m83tuwApRzE1NTWGeNwbqh2Z0pfG\nRt6GY8RyS2NZG1svh2VozLJ7SkrvbXAP3Kb02XP8eNvpyV3h6d2zOvS7FN8Nhc4w4FkGJf6Takr9\niYH3DnsiLkJ97ZWfnZ2NpaWlsT3vOhhRz9EqZ/CL3otMZnKJsNufo8Jza27ExVcqcVaAxkM5AH/J\nhXvu09PTsfelK4TRdRdIJuT43jWd45951Mz7sMySYpeEzskFteQ9M8OXGd+SkLsX7Krg2b0lo1KS\nM45rlqXPHAjl3vkecX4KD/fk8+CNjNwwZcauq+J/rEpfmp8lFOGJo8vLy2NKf3R0dCEbHHEeF2aG\ngEovCKVner1ek1CjIOo5KnwWdzIrn53rR6WX4jts56fXO1/EwddQ6xoPwmTOQiu7JFxcNci+yshR\nKAk12S4+p/sy73UZj8LnKMyZ8nbxYDVlZxltxoHPlRSev9HLe700/DQO2TU6Oik9T/wtHXNVQjOP\nqvhX4ulrA6M4Z3FxMZaXl5t5ed/x5tNbVFiH+4RQPlDMxGswGM8zu+4eqaT07EvExbeg8HnPpuvY\npfn5+bFrREDT09Njnl5ruYUKNC3JBUaeoHIv6ELbxUOT+HvmXTM04WVmXjWj0vWsP9lzpTDM+0F5\nYj8I671PrthyHlmIxnUm2pAjmeJbdDIelxS7Ft6U6Im84YYMl9LrZNt+v9/shuv1zk/P0W+eyc2y\n2lkb6ME4gI4kfECzeNv7ETE+lcNnGb9GRLOGYDgcXvAgLiAudOKBkJESmwcHB2MGx9tXEwwaiNr4\nZVDe66h561JZXk5WRheEkRmPTLEzQ5F5/1KYRRl0pERecNwkZxHnOR2dCKXj2ZXcY/hXGhfn3WXR\n15UqfcZwebuFhYVYWlpqlF4Mk4BrDbPPsQvWcvWdvKBbYA0clZfWnYNNK+4Kn8EsT/hp0NzbyKq7\npxDMo4BRkGnUBA/VN/ErIsamKjn3r+uZJ+PYZArJ8RJ/HXmxPCoSFUDPOwrJxsXrLxms7K/IDWCp\nP+KLK7zf67Dd2+JIhlDf26TpO+0o1Tp9IlG2oUQ1HSvRlSl9Zm3FSJ50y7l5MWYwGDSvFeYyWh5O\n4PEwrbAEnS+KKMWsHExaXQoyQwqHdb1eb0zhXZEVu/nGD63eYz6BCsr8gYyheMdTa7WW2w1VpmiZ\n0qnfuuaxv/pL5fWx5hhT6fVMlkNwZXPPnRlataUWJhAZlhTfy3RjIT660rNeQn+V5eEtx0NjeHZ2\n1ig8Xz9OA+LlOrnBaaMrfz+9vlOBtNfdTyHR79qiqNhWijUajRrl9xja4bUfgcxlkw7xxHhfWUfB\nIpz36R2f3808ts+5Hx8fNzzQwh1XCnoc8Yqvi+a2UZ59V4N/nNXQXx+zLPShZ2wj3Vsqn1QKzzLl\nZPvcqOkZR0685srk3p8GjgaL/3MWyT09P376kgy2lF4frr700LCNPhFKX7P+9GInJw/fNHtwcDB2\n8IAMgHsDbqjhunLWo/ukxKenp01M7NA3ayvbmd1zdnbWIBIpus8U0Mt5WRHnp6bKeNHw9fv9MW/t\nZUrIeLw3txxnL5Lw8IrGl+hA1xj2ZDC+xDNHE/rfFb7kzV2hvXwfH6+TZeieLHzJ6s1gv58WTKXk\nmIvvNPzZ+hCVy/ET0qVs8AThEnm/2u6PuKLsvUNpH2wJ/3A4bDoqBaAVZYztMJ/z8RRgbcnVMxHd\n56HdOFE4/MAO1p1NMXpsx37L6GlhEl8BLcpmMlSPjATDEc4w+BLfzJtmmWj22ceOnxI6cKVkjEqU\n5Aag5O2z8fE6SmFFRtn4O6QmUnQ04HvvvR00CI4oKRPKW+mVbApZSwbR29/Vw4uu/LisDPpI+A8O\nDsamsjxepZd2T89VdITtEefbcl3IurS/JnA+dxtR3nPv3kZ9YfJRSs/YjlOQ8iD8XVBf/RVfZmdn\nm4U7NVjLvx4iqR722ceP45yNu8+OqC6HxqRMiNsUPxsr/X+ZUCRifMpVPPeQhvIlpea5BM7DLEmp\n/svTa4OYXrnG/qlMGrYSr9roStfeZyQvt7e3F3Nzc7Gzs9O8FZTMmp2dbV43LeZkCSHV6wJMQXO4\n7cKbwT0qL+uhFc+gtYheh4LjwhNxvqFIA0zor4U8zH1EnOdGFOcrIciy2Bbvn8rI7lGb3FAQ2WTC\nlym2PCAhMBUgC0Oyv+S/3+t98N/4XEku3CuXPC2Tj/xf4aQQQYaimACW4h8cHIyNa40PlKOS4cvo\nyrbWumDrN2WzJQQPHjyIpaWlGAwGcXJyEoPBIA4PD2N+fn5sBx2PsPLtjWR+ZhUz+JrBeIYTzM7T\na3OQBatplDLoS4UnMQ+h/zWnrwwvDw7VTIeE2N/KKmHjBiX2kx5LH9+4Q74xzs0geUnpOTY0ALqm\n76yfwkvPm7XL+ZsZgppCyOCwPXyeHyZ2yRPyWbLCzVt0DHx7s+Sex2tptSXl2ftbQhxd6Il4ejZc\nSq/GLy4uNnvpFdscHx83Mavu4z5lHpUUUX6bSUaZF+T/8ty++YLCzl1wPI2HU30ZEnH+UKi4LVM7\nDzWfOxgMxqy7yvcNQ75nX/zSc54hdqjvRsF5mSEs/qXSZyiCz9O7ejhI4515Om9T7X/WS/TGfAk9\nPo06Z0fUtmwcqcj09DT2dFa6V+Nb8vTe52zm6bF5+tPT0/jBH/zBeP755+M//+f/HPfu3YvXXnst\n3nvvvbh16+G77NbW1i48VxoofmeGfTQaNQcIKhvNOMe9Rmm6hEKqAfI2aXBKholtlAWn0LN8Tyz6\nxomaUSFxEJm5nZp6eDS4EA89CuNmCq8n/qj0RDmZUZTwuEdz5c8gJfmfKVfGDz3nhoFGvFRHVy/n\nhob8I6+oiNPT02MGvVR3CXKLfFnu1NT5iz41Ptptx223WRjmdT4KdVL6X/7lX47v+Z7viZ2dnYiI\nuH37drz88svxxhtvxFtvvRW3b9+O27dvX3iOHqTWaCrXcDiMBw8exPT09BhUPjk5GYO17hU9+0wo\nKeb5fHvbAHL6SvXJ+HAtPM96V50aaLaJysKBzxAJ2y3l1Ny7hFXwn/P7PuXG5bslo8V2OWUQnobO\nIbw/6+Pv9WTK6AYmm3p04+Jjx36KaCQzL8897n4PHYw8c0nZM4fk/eb9kpdeb3yqWkaH/fCcRMbr\nNmpV+v/3//5f/Nqv/Vr8wi/8Qvzrf/2vIyLinXfeiXfffTciIl5//fV46aWXOil9rVFiwHA4jO3t\n7UbI9a41dbTf7zcbTjglxTjfvUomdISTmeK70keMv8eMSs9yOV+vZzhdGHEeQwodcCWhyhFREYQi\n1Lbj4+M4PDyMwWAQg8FgLB5nPQp/aGRcqdwbs26OkT/j25trY8tyS/10vnmYwXZklBlPlu/wPVN8\nRwOcpZHCsx2OLDMjSmUlguEMgRJ6PMTFQ68SUnysSv/P/tk/i3/5L/9lbG9vN7/dvXs3Njc3IyJi\nc3Mz7t69mz6rQ/8izueZqUSukKenp018PxwOm+W1er7f70dENEtQpQTssOIllS+Y6lnWDGmUjADj\nN0F3Kfzh4eEFiEjBEjpQPWqb+KA2eQbWldDzGZr1ODw8bGCilnWqzcyIqzw/M5CCl8X9LmQMaUQl\nT69+OtWU3nnt689rkNrH1ushT1ife3qXT44DkU1J4f1D/rusEhVoDH32xdGCt4+nOXehqtL/l//y\nX+LGjRvx+c9/Pn7zN38zvadkeSIiFhYWmg5mUGw0Go2dlKN4hh951b29vYYhnryTImSZTGba9b/q\n1zNtApvBW/0uz8B4kF5kNBqNJXKcOLVHwfX28JoUQm0YDodjL/XUsmS1S7/rLD4lJvU9MzauFIw7\nqSD+t6bkmUHN+kZI7wiI46q20KFkiuZwne3i2GeGN5MFen79znYz55LJJBdYeblsbzZLQvkQH1le\nRLQagKrS/6//9b/inXfeiV/7tV+Lg4OD2N7eji996UuxubkZH3zwQdy8eTPef//9uHHjRvq8Cy6t\nuP7yAI3BYDA27aQ559PT09jf34+pqYenyu7t7Y3tTFKWtBQbZ8xzJXTvWhp0/ZUSMM7zhSb0EtlU\n1Gg0ag4NkRJyiXAGCd1THB8fN1tr1XcqC+EqQw0//78WdsmgSLhc0bMMfTb+bTmY7Dr5nSEEOggq\nHWctfDxLnpczQlwzQGNPJ0IEoPGjcyOyY7tryIjletszdKrvGb9LVFX6X/qlX4pf+qVfioiId999\nN/7Vv/pX8e///b+PN954I+7cuRNvvvlm3LlzJ1555ZVi4/mdDeXURb/fb95OS8vN+7REd29vL+7f\nv98cuiFjkdUp4sDUYkTW6yui/N5SbNjr9S54G93rU4ssn0JQmupzBOHGQVN8JQUVQqC3Z5tdyFWf\npgz9UEePfzPjpO/M0SiPwdDGIT3bk3l6jaugsAx/dvIweevGjU5Af/2oNCp9yTPzvizE8DozhOzG\niLLvI/EAACAASURBVO131JD1pVSf06Xm6VXgz//8z8err74ab7/9dtz6yym72v1soHuqXu987biS\nUfpoqk6xuzLnvV6viZOzQywzweP/3MnEv/QqpbiQZWWZ3l7vPG5mv2nxPT4rrZzLFN9/l7BqKTPX\n7yvhSaVge9X3bGqOQinUtbCw0Jx34JuhyJcMJY1Goyb/4WGSw3oP1bxcKhuTXzSW4rlDX14jOqE8\nMi/k4+htYhmMwTNDyOf8e8mwlNCyy0NJTjPqrPRf+MIX4gtf+EJERGxsbMRXv/rV1mfcO2ZWUIdK\nPHjwoPG22Rl13H6rPfYKB0hZ5z1b7W3gCikfbApCxmwKC70GYSYTifxw9oG/cxC9zZnnoxHj71Rs\nGSLWyRmIDG6zf75WIiIuvB8gg6DeB65p8LUNmZdnf6jETL7RALnCO2rU9SwXoOcdsdCbO2qgkeR3\nh9+ZB1c4KNlQcpbT1FyY5LLNMXee1+jK9tNnliwimrl5zct7Io8nxmr7od5Xr8EWZQpPb8ZB0X30\nHA7p9NeVPkMrVDJXbip5Nr/PKbuSl8wMjCt2BoO5opBt8w1LWbaZY6T7BallLBkikE+uuDSink+g\n0nssr/5QUfwAU7ZD92tGgwlG5nxoFMgX8jGTEVd68soVUL/5uLAPU1NTzU5LzQYxBMo8P+vLnEEb\nXcky3MzLR0TjpfSCiuFwODag9OaaslteXo61tbWqh3ePI6XXkVQeKzkEZJtVprc966Mo8+aqn8dX\n+8DWzkKnUrqhKrVZbWFMSMThMTaFiEKuZ7Tds9/vN0rvCueZdwokUYMrvicxOa5UPDoCTzCSN4rN\nOQvEdnF6lWFGxMWl2Qr3XLHa5Ju/MUfEPEmv12v4zw1lvpSb/CAazdrTRlfm6SMuro7S/xJAdYJe\nXrH+0tJSLC0tNZ6eQpzBYX3nQPiUiHsQPsM2Z5BXlHlXKpn6qe/ql6Z1KOjZVI63KcsG8383auSL\nBMs9it6cynoIfzk7Is8kA60ZDHktRwyE9Rl0z9CA94leWlOVMi7cYORwmyEB21Pimc/fczzVvizr\nnillCemo7cz07+zsxPb2drMEfXd3t1mjQn6q7tIS3U+Epxe5x8wUhR3TppKlpaVYXl6OlZWVWFlZ\naZReniYTJFpGVxaPP6nwVPpMyf13Wlw3JF63iEI0Ozt7Ad6XvERWX+kvPaGOExdJ2Xd3d2N/f7/x\nKFxVqPbRS2p5r65xilDZfB43Tv47uqBCOlx2WeFvzOwTsdHrE5F5MpbXmKjj+LFtvMbrTqUxzkIA\nlcHVo8fHx7G1tdV8tLVcZ0u40jsyLTmjGl35Ljsy1b2QOsVz8KXwKysrze47rczLEmEOKyPG93V7\nW/waE3dZVlt/XUg4GLyPfVZd8vQeBvhyYvZD1t3DEC+fyS2tD6ewHx4eNp4le40128g1EKxH/PEj\nvnh8mHto9TErKwtVMvnwFZW9Xm/snAGWMxqN0ilSN+hsS21xkStxFr9Trt3wZcj2+Pg4hsNh3Lt3\nLz788MP48MMPm7cWydNnziZbjOQhSo2uFN5HjA82GalrinUI6ZeXl2Npaal5xS/3kGcQVt9p9Qnf\n3Prqo3s1SFlmNMviZx6f4QP7zkUf9F7K3LIP5A3LZ/+cp56voIDKy+jVWK70bgDFVxkSGVW+Sy/L\nBXjdDrtVhwy9y4Tzl32lEXG+cOo2kzsvz3nodbJsGjvKBdtLpfeEIOtVfmQ4HMbe3l5sb2/H1tZW\n3L9/v0FdbSFlNs5dvf3HqvRkTiag7mn1tlopurw6oSMTShHnUNnjZXp9h96upN5W3ufMpHXVfZwf\nZqIqQx/sNxVC95FHarOeIx9dKNQPGg9/F2DEw30Lq6urMTMz08B7371HxDA9PT22TNrXAfAkV60L\nYH3sI5NnRAKKuekRa0aNv7F+N7a+L90NGnMEGTnPS0bfQ8YsNMmMUQntlMoXP7m4yac5u9CVKb0r\nOyGVhEmHA2qlneJ3HZCpMrNXXrkCUfFIJUjpAhZx8QUIus9DCPfMtXlnRwKEru5dKGwUCPcE7JuM\n4unp+LmAErh+vx9TU1MX3iNAw+JjxAUwVHS+rEHjxDbzryu9ftNYsZ3iNeWH1zlHT+ND5VC7HUl4\nwtaVPkMdbnRLSum85lh5+FJChS6TbkSZFyHqcX7X6EqUnh0pKX2/32+8vD7y9DwVVwoi7y5PT+Ic\ntO8qyyB9yatISX3QmZjSh88wNveYK+LilJDDZN1TgrlueESsnwrLDLfWO4hPzCGoDrWJnpgzKn5s\nl95LoISfGyQJaGbsNPdPhXZYy3yGGyAiDyqp6nVPL+LYkX+Uj4zv/K2kxJ47KsXbJU/vRNnLchtd\nPbzoymN6EYVbK+wUt2e77Xj6iGAZISQZSKhMolDQe/O6GyhnajY49BgZrHcozhCAi3RKikx+eTsi\n4gJs5rP0iu5ZMo+muhjC+AIc3cNchPrOMXI++nx8ZiAyAXblYOiRZbIZSjkqysb8MpR571L44XVy\nvOjIOD+/v7/f/N9lu+xl2x9xhUdgizLhldIvLy/HwsLCmBfnIDtclvJ4UoOwJ4t13KOW4JXa60ko\nZYVZLjPTLmj8EIp5GOLKJsFxaMm2ij/660aLyuH9KilCjXS/BFLhBF+iyXZSEZi09I03mXF0GfIx\notEn//Tdk6luWIg6SCWPq2fb8i/kk/rsSEAypOPP1PfZ2dnY3d0t5hvc8LJdXT3+lSt9xMVFOvT0\nfJedvAwPFNCAEuJEjC8m0e/ZYJZ+pzB5PO1GwsvnCrdMgQiZGRp4Zts/9Nzu/dlffrLwqTTF433L\nxiojKpgbGZKjCtavJGKGiHy8Mo/qZYq/5K0jGydXoJLSZE6A5xlQod3wSy64OUkLnjQL5fJ1dnbW\nvAciG/tM8S8D9a/8VdWZp5+ZmWlW3knp3XtriocDTYHhOmyv32M7Gg21gc+4pfeYnAOt35lJ5T3e\nd0+elfjjikSDJQ/Oo5Uyb54JJJXdjU3Nuzl0puCzHOe5J7dEbVlnV/gSuSFjuUz6OWLI0ILKa6vP\nIbs+zlvKBGVQSu8nQAlBabWjoxDnraPArojtypfhOgRyGOg7p3zAskQJBcw9SsT5YZViFBeKUKBp\njZ2Z7pnd6LAt7K/3P7sve8a9FLO2NJJ6sSfn0jl7wLDCw4lSHiFifK2/+Ma+ZkaJY6oyXOmpaBpL\nX9Qj3rI81evHo7FMenqNp9ebef3MkzpCETHZ6EZ1amqqqZuJ3Ay9sB9yAFlupuQ4XcG7QvuIK1qR\nlwm1wxGfiuEbXFzpfbONC5eEWUxn0kT3u1KIVL4bECqJz8u78GVQKwstukBjGjjVx81HS0tLYyGQ\nFn3s7+9fSKz5yr8spGA9buTEW7Y3y6fQmOu5zDAr/CAvZOA4tvrrXtiTaTTGLN/r9jEqIQ1PykXE\n2HiUnI3Pn/t4S+lpIDKlJ59IGaritTa6srX33jBnOBWar2bKlL7N00ecz+dLSUaj0QWD4NlRxvKZ\npy/N/TtiySCg7mOb9TeDsA5NyUN5+uXl5ea0Ic1w7O/vx2g0atbZZ8ruYQj74LG+FCtLoEWcr9bz\nfnMak+PDvEtmDKhALiOE4FIS1iFEo/u0u87bQAOReeLSmKjNLnPqj+TNE5Quq2onUafks+TpM2fi\n8L6rt7/ymN6vuXI5XCZjXZGoED6gKpOwllNGrIue3OfdNb3iwpB5ebW3ZOS8/xmU1DUZQBk+rjSU\nh1cOxJ/3kMQXCLEtjrwuO4alj/hAQ8A5eOdNxh+GFSyHuZSS92bZMlz6TTLiZVPm+Izzyduttvi5\nAJnBccfExHC2SKuNLqPsoit5VXXERS/nnpGQyDsvpddAEGpl01SElCqbU0y0wDQ2agPLVGigxT4+\n1USo7x+21a0zPRvnmunNhXY8OanNSL4gJvPombL77ATL5l8qTObtM9jMfrg3lXHOhNQNvpdHR+AK\nR8VxGSPcz6B4adxKCp+hgEyG9bsjHM8vEZH6HnrKDymTq8vQlSh91gFnapZk0nNiFpM7mcKIPNnD\n5wTtM29Ajy/h0IovPyWGmWv1J7P+rIMWnO3PIB23xzKpOT093ZwgJKWX0HgSzz281515WSIWGs9M\n6V3h9Tx3q7ni67srjhsHKrwrorebyUb20ZXe6y21kddYn/hC5Mnx5l8adY6dz7BI1kaj0VgWn2Ph\n41eTK9eFjK4M3lPxKSDyCBTYbEmqJzgkXDxPjwiA92Ze3X/r9XqN4RHjPKHIflGoCOU8uVTzIupX\nNkuhKR19fKOLLz3VyjgexZUtr/X28xrbTRjtSp0ZAB93H2s3jv6sJ+G8LCc3ViVllZF340T5ZAjk\niu+KpfHSb9kMjsgNpkN88lGLnLh03Hnqv2VK34WudD995lEEa4bDYfNKZiaPHAZrOW7ExbPQ6Z15\nZn4bMygcatPJycnYiTESVE7rieFZnqA0QBR2T1qStL5d24m5Z13KqLcB8Qiu/f395iiukufK2sUx\nKY0j+0CozvFSOTSA2WpA3hcRY0LP8eT9Hi5m0N75LAXKlN3LcoTG8mi0hByJDIlO1CYiDHl89YOO\nbDQaNecc6AANnVvo7XVkkfWlja705JyMpPQSWL2iOoORYhwHVuX7PVT6DHLrOX64qMNXi7FstsEh\nYrbgJIPRGnR5dC+TO9i0NJl90nvstF5bRpPrtrN2+F8qraMwPuvIK0Mu7r30m2BtFrMTMUkOIsb3\nE/B+tZuJNiq+87oE00WOxvg763KZE0+45oPn5VOmTk9Px/aOyOBz1kNKv7e3F8PhsJE/Oj3KaNbW\nT6Snd5I34IGRfH8dBYhxVMTFd3MzfhKT/YSamicj3CdUpxKqfAo9jYIGJRMuWny2lbCdSIEnAOtw\nUCn9wcFBo9x7e3uxt7cX+/v7zdx8lqws9Zvtqt2XZbnFdx8DGkmiNXpIPh9xfprMwcHBmFJw2jab\nEfA2uOL7/S4zGWzODJLqomwyD+VoR/fqd8bqNPiSM3p6Gm0atiwkvazCR3xCPL3iUXkrQVXBWm1K\niDj3HBSAiBhbhnt2djb2MkdO17kyu2ejQDLrL9LA+kxDBuk1KIS32bHN7m3kQY6OjhpvQM9HZd/b\n24uDg4MGEpaSdxwH72cGvUvKXYKTNMbeH06luoF1hMRyHYU4X0tt9/aVDFYNrTjP+J3jGnGOfJgD\nUrlyNho7Ka/CDm1WkiH3XZeOYjLel8amRE/kNFxXNCn99PR047F2d3fHzrzXnnkym4NWSupNTU01\nJ+1IAEvMoxDqN8Zl9Opa/MJBcsEcjcaPPqbyclELY0N9F52enjbeT+Vo1Z2EhcdIexzvypHlHSjk\nmZKJxLtMMTzPQX5S6b1/NHIRMRb3ZuND/paUk/0tKbZf8zl0Us2Y8xw+jq33le89lGc/Oztrjszi\nkeg+DUwkVgpBSmOW0ZXBexcGejgmW/b392Nvby92d3cvJLNKU3TOcEIiLuBhwsXb5ZBJSqG2Ufmn\np6cvZMpLq698Wi6DvSrfkcPp6cMjq5kwG41GzZoBvSSBSpwJBWG3w1XxycfH+8HvVCD95vA64tyA\n0FuxnTRA9Iisp6bw2X3eHj5bmtHhOGX5AecFwzMfW7aHMsF3zjNpubu7O6b0HE+2oxTHex+7ePtW\npb9161asrKw0McjXvva1uHfvXrz22mvx3nvvxa1bD99lt7a2ViyjxMCI89hcFlGWT6vNBoNBA1tp\nYel1IvL3lhFOEVIxw0qFobKVPK+e16Ax4Sci4znrIM/uHoX16+Pl8JqvZ3AF8Gez8chiwppglb57\nuT7WVDDeQ0hPlOR7DTLqItgMMfx3jj2VmFuQ3QgyVGH2XTkZXxoulKe+E4XKmAvRcsYlWz2Z8TXj\n0WOD971eL37zN38zNjY2mt9u374dL7/8crzxxhvx1ltvxe3bt+P27dvps94496pUXJ7UKsWnN5PC\nc37aY3CP1zUwVEwiAgoeV7K55XZ4nM3rRlzcpktvzsQMy3Ovl+UHfEmtyvANICXelyA9PRMFvuRJ\nst/8b8lLZ0qUhRi8j0qZyZPLUAmB+DjSeRAlcrZA46PksHiUoTWfOqSD0nUhR6E0bYyijLNtMjIZ\nz0oGsQvE7wTvvaB33nkn3n333YiIeP311+Oll16qKn1J4flX90vpNQ0l+Kx7tY9cCktFl2BzgKX0\nrINZYZ7mogHRlB0FTn3Q4GcJPPe4DoNd6YkuqJQel7tRIH8z654pbEnJvH8l5XbP6fA5K9fhvMsC\nn3V+8Zkse88yvL+Z8XNe0YjUFJl94PipTD7jxsqRJ5Ve+RhNs/oUq4ewpWTko1AnT/93/+7fjenp\n6fgn/+SfxD/+x/847t69G5ubmxERsbm5GXfv3k2f5ckfFIQabHGllxUkI/XmFg6ADIO8NAeSySFB\nbcVYXLaqhB9DBn0c7vtKLFf0zDO5R1J7CemdJ24IGCezjprl17VSzsEVIoOQruT+15WeU0xZ3ZkR\novJk19r6WlL27JorrMN27gZkP4m2aBzc8DDm7/V6jYwxH8O1Fe7pfcajpC9Eq12pVel/67d+K559\n9tn4i7/4i3j55ZfjxRdfvMDoUiyhN9FksNWhuTqi1Xm9Xi+Wl5fj8PCwiVuptHyGMbFW1TmEzzKi\nEeNvZPV1/xwAJ0E9fXdjkRk5tll8Kc2plzxnFnLUKPPMbqBc4buU6+UTSnt9Wd1t17MciaOkrC00\nDA79XUmdl5li+fizfe7Js9CBddGocZraT23O+J95eSIVJrDbDtRsVfpnn302IiKuX78eP/ZjPxZf\n+9rXYnNzMz744IO4efNmvP/++3Hjxo302ayRHvv4/VqGeXJyEisrK81yRCq9lI1wXv+rw5qTd2vp\n2WJNd3G9uhIqIlpyF5psCrCkkJnRy4yhyvC6yafM4mfkSsDfMoH3e2tl87ornPpL3mewOeNbVlYN\nwme8YTky0PK+NZ5m4RPv97FX+fL82XXKrtqkDD7XV2Tj6jy4LD8yqir9/v5+nJ4+3L+9t7cX/+2/\n/bf4xV/8xfjiF78Yd+7ciTfffDPu3LkTr7zySvp8SZBFHuNKaU9OTppknuYzHX5JiHzay0+lzWCd\nljdGxNg72pkhZ/mcKZAQO+T3gaIhcl5kGVrnm3sHKmgNIWTCwPIzz8T7XPG7KrxTqX/OT7bd25T1\nyZFCzStS8cVPLqPWvW58MznhjI8n+7yt2RSe+sy3++rwS99k4+OQ8fyjUFXp7969Gz/2Yz8WEQ89\n50/8xE/ED//wD8cP/uAPxquvvhpvv/123PrLKbuMssF04XKiQvgqs4jzWEmDxfXJqpPxr+p0pdEg\n8H1unizLPKIGzP/PFJ/Ggb+xbaVBpXdwD8LyMl6XyvKxKD1Pwc+U2oXdlZd9LLWr1Fb9rcFcb0Op\nfhotjQVXbbpRcgPA510GWK4jrsxQO8rl/oku+yQeJ1WV/ju+4zvi937v9y78vrGxEV/96lc7V0JG\nUYhKFo2W9PT0tJnaWFxcjIhoXp9EpVdyT/vufQosy+zLKksIXHndW3t/1FZPtvEjA0Oi4fK+U3gy\n5dJfJYlcwfxDD+X1tQmWK4MLN+8rCa2X51Od9Iz0iEzoEUJnaIR/eR8V0OXFea1xLCmrDIaX6Txh\nOziGStoyf+Tt5N4S538JDareyxiJK9lP7x5LjcsElh2RVxPUX1tbi16v15wXLgYqo6+/2UIWxe5u\ngNQ27sjLFCjrF3MLjjA8TqewkDLDl/3lwFJBVD+zyvrOezPF6eqJdT9XNGbeLku+eTlEOFQM946Z\nAfPEb1aXh2deN/M5mXLrOffqWZafY0/ZzYyjlL60dFvGz/mTKTvJDcsTV3qRmKZpMnaG8SkZLsYy\nvleST55e02yevXRl91dAczBpXd1r+4o8MjhTJkcTnHWIiAv9ywwLBTyDoCqbaw1o4PSXKIMrGJkL\nYH8zck+vDxNSft0RgNrsRpF9cUPMZ7xulytvL8dNMtHr9S4ofAbBPXTLPL3nldg3DzO8bZLXmqdX\nW93jZwigFv7U6ErW3nPwHIpkXlWdOT4+jv39/dja2orBYBAbGxtNco+xLZVAg0FFODg4iH6/HwcH\nBxeYQiHx8+W8D7V+umIyweheNRvQzONzUClsXGvgBmU0Go0Jjyc7VW4NnXj9bAfhOI2Gj3XmpXhd\nZbk3dcWpCXzmBT30ygyTZ8q9b75CL/vQ+GeGwnnMvRo8azHbO1FqWyYXXeTT6cq21kqp3FrXBkIb\nEiTgGxsbsb29HXt7ezE7O9skQBQj62gp1Snl5444X1jDOnWfFhWVPJcLl+cN3LuyPdmhlSWDEHFu\nQFwYuZbfk488kMPLYplsVyn3of5RySn8jmy4YpF1ujxksbND+wzp+Fj4/zRKLFP3+CIo76sbVyq/\nt9Prdb7Q8fAllSWlL6E7jl9mAC+r+Ffi6RmnlJTef4+IODw8bF7m1+v14vr16/HgwYPY29uLfr8/\nJqCzs7PNKTPcqSVlFpN5qi3n8nu9XrPZRwZqeno69fhUBoeOEmhunSU/Dg4OLkwNZnDOM/ZUdG4j\nZhgREReE0wUp2xiivpRWGWZK73CY40nlcthOckXxdmW8cfJrXo57+uz/DLqLx+7dSwZPdetZOSQ5\nEiq9n6zs3r2EuLw/2d8udGVbaxm/+D3eSZGWxWpp7dbWVjx48CC2t7fHFFbKJW/PwYoYfw+7mK9d\nTT6o3NvPMmrxUwnecyGIlEdxnUPqtliyBDuzeNjj1YhIk1c+PjQgfp/a4e10z5kJpfMu62dmGEow\nN5OvrOyaQng/1M5a27J+lOqPGN9ARrnTVLQcT9Zf52eGLLL+ZW1yemLvpxcRaur/iIuw8+TkJHZ3\nd+PevXvxZ3/2Z7G8vDx2yIYy8P1+/0L84zGkiAantIGGA09lcijMOI+n4rhn4B5selnG6TowxEnt\n48ksDCHYJxENi/enFOp4XyOiuuWUSE7EuJqKo/ayDrZdbXYj6krp4YnzIEMAkhHfvsswjTLI60JJ\nNUMkz97r9S6cSjwcDmN3dzd2d3dje3u7OdTUE9slKl0voagaXbnSu+XPvIpDHSn93t5efPjhh7G4\nuBh7e3uxsLDQnAEvhde0nAbWlcIZRCX3k2d0P5dwSmkZLrjRotK78hOae11zc3OxsLDQ7FlgGJBt\n8uGMhQt9tqwzU3oJajYeGWIQzzwscyVlGWpnpiyZIXbDwnvIVze+mQGip6RRLYVVWczPk4ozL0y+\naJw8jBwOh7G9vR33799vttMqVKKRzpS7pvDZ9zZ6Ym+t5WA4BPZY9+zs4fLcvb29uHfvXszOzsb+\n/n4sLy/H8vJyjEaj6Pf7zeomxvSql/+zPRQYf7uIQ2yd5EOBEzzL4Lj/PxqNxjy9e1cp/dLSUoxG\n+WpBhQZahJR5+kxxRI5KJKAR41tMqbCeyOLUYGZ4SuioTTZK4ZLKVHnZdKU+GpeszxpDreVw4+UJ\n1cwD83f2kbyksmvaWEr/4YcfNmPoKCMzJD6GpVDpMnSlx2VR0V2xmJQis2UEpPT379+PiGhiJMX7\ni4uLjRJksJqJKnnvmZmZxru78EiZJWR8+YQU2MvUx5NujIcZl7twEuKrbF+tRiGR0aklu1wBWZ7G\nxRN39HK8j7sKSx6bQuiGkL+XvCS9nhTYPRrL9LayD44g+Fdl0PDrQz5lORSWyzEZjUbNiThM3A2H\nw3jw4EHs7+83kL+mqCWD87joyubpKTwUOlpvj9Mizlcy9Xq92N3djYgYi5ciHp4/tr6+3igJvSkR\nhB/Gobq4CIfLJCPOB1UK3+/3L6wFoKFSf/wYpcwglOJoxsNUVkFNeha2X/WQqHCenPSxogLpNyqB\nz1a4ZydfvH4PcxxxiOc8vMTlxuvTx/ciuOFhX9yYUvF9o5V4xky+1yPZVRlHR0fNGY865FWf4XCY\n5j/a0Bnry75f1jhc+RtuMnhP70erLSZwuaI8vqY6pqammoU3TIipPD2TKf3U1NTYW22o9MfHx2PT\nY4KF8vRc9cf4OCKahJEO81TfT09PLxzVTT65IGaxMXnqBodEI5NBdFco/XWFV92cqtP1TAld4agY\n2eyD+jQ9Pd3Eud5GhnrODyIB55crENGE2qHVnYT7rvT0/A7vOZZnZ2fNNLNmmfQCC46V60RmAFx/\nagp/WQPwROA9vZsLpwbE4ywxjafD6pl+vx/b29sNrFKiJuLi6rOIcWjHJJPXKeMgZdc5/Jq/p9Ir\n1qUw8BVUhJUZ5Ge7MiWigrA/pZiP6CFbM0CU4QrskFp9IET3MfaQymG4ry/gR8SwimU7dKcRYUhH\nFOkzAOw35cATvpmxdVTi/ZcxEZRXhl5TzHt7e2Pj7s9ncL6Lwmf3dqEncu49YSQhlxgtZeF6ch94\nTeFJYfv9fgOz1tbWYjAYxOLiYpMJj4ix7xHR5ANcmHQGn+B8v98fe49cxLk35/vhXWjUV/dEPqC1\npBef8dwEjVNJKNm3iPFcgB/VJXIvSeX0axxDGW/xx5Nu3kYXeKIKtlX1MpmqNwmzPJ9SY/uIdBgy\nqn+ZN3dZVTt07+npaezv7zdv5vn2t78dH374YWxtbTVvqqHcZjrg330MSrF/6donxtNn3oHTFRI8\nDYqSWcoqe3Kn13t44s3Ozk6z4EFe8/DwMK5fvx7r6+uxvr4eq6urzTQYj+/iphNCOSn99PR0MyWY\nrfKbmppqjIP6p3IJ6dnmDIbpXiquf/hMNn1HRSOfROojjQZfrOCJwExxXEBL191AUJk8vKAyOZ+o\nsCxHuRK9AKVUlhtJT7jJ0J2eno6FbTw52T8R0Rj+6enpJn7f2dmJnZ2duHfvXty/fz+2traa99F5\nMlSUIRHXFzf+jgjoYDLDUaIrW3tf6rh//B1mssr0RlJ6nZ+3tbXVJFG0QefmzZvN1EhEjCm9kkW+\n+kwJOAmM1gAMBoOIGJ83Z3KM3sP7WovF9JsrRw1GMvfgCTwqPet0T8PQxD292kxlpmGqGYOI5aLF\n6wAAFXRJREFUi/PoNSPm8hBRfjOtUIMrPflCntJAOk8ZMqpNQg5Sap5Zx7HluJ+dnTXTyB9++GE8\nePCg+fB57xN5lznGTOmdX59YT1+yWPxLpkoBPK5yZaHwKzmyvb3dTHVp2mRnZye2trbi+vXrze48\nWXRZdQoRGXl2dtas3spgI9tWm9bxPngsS4/v03MlRXE++v1ZmEH+leJIlkflF3mSzw0XeeFTdM4L\nD0mYBXc+6/1w+ltDUhwDvsMg86L8TiPBDVr8nJ6eNiHf/Pz8Be8uGcumHjO+s49usJz37C/78Sj0\nsSo9LVwtNmFMz4RV1mkylEp6eHjYWNjhcBhbW1vx53/+57G+vh7PPfdc3L9/P3Z2dmJtbS1WVlZi\nZWWlSc7Ro6nNXHjCuIyxMftWSmT5c5yLZ/yofkvxPZmWeUzxyevNlLGNXHHEX46jeyh6YYfxnvQr\nKTuNYdam09PTC0pPZJWhHb4ymkYs6y+TgJrd4Zn0/BwfHzezOHNzc7G/v9949t3d3bFpZBoa8c6N\nJfvP+7L2etv9mcvQE1N6whSPCZ0xIiqaylS5BwcHTXJva2urgfMrKyuNwg+Hw3juuediNBrFYDCI\npaWlCx5L9RC687oE2+eiMyXPvI8rPQ2Or9YrJfU8mVZTekdJGWWeOEsklVAC+8W2+LhnmfA2w+ZK\nT6Pr0F7GhjsQiSgdAbGtUvrRaNTMq2u+XZ/Dw8OxpbxClHoXHZ2X+uP8YvLV+99F4R8HXQm89+8i\nMkJwTK8Q8nlNHzyRhEAZVCmLlGcwGIwlrSIernFfXl5uVvH1eudTc4wDKcg1mMz6/BXUnrV2QdMg\nO1KgwWT/M2+c3dvm6XifvtNLu2JnXsuV3hfgeLvJE+elfmO/aAzJV1EWYihsc2/vexG8ncyTKDTU\n1NvOzk5sb2/HcDgcm3rk8VdcVESek/dMCJI35G+bwruxyBBMG13ZlJ0Ljf56I8VIwkhCXoeYXhY/\nEQ8ZLbivaT1BuA8//LCx2nwVtmI2JhU9gUZoLkHT99IKLoYypaO6HSVk8XPWR5XjXl/kXtyTS/pd\n/fVx4sc3/vAeKl+bZ8+grsuJJ3ppYBzJMEcj5ZydnR3bK8CkMGdx+JYjefi9vb3Y29u78Hq1qamp\nxpH4wTAZzzzR6HQZz14y3pdBCVeu9CWLpgaLiTr7jhaezPOpK1GWqT0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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's say you didn't know how many voxels the image was translated. You might want a good way to find out. How are we going to do that?\n", "\n", "We need to try moving one image (``moved_mid_vol1``) to match our second image. Then we need some way of knowing if our moved image is close to our first image or not.\n", "\n", "First let's do the moving." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def x_trans_slice(img_slice, x_vox_trans):\n", " \"\"\" Make a new copy of `img_slice` translated by `x_vox_trans` voxels\n", " \n", " `x_vox_trans` can be positive or negative\n", " \"\"\"\n", " trans_slice = np.zeros_like(img_slice)\n", " if x_vox_trans < 0:\n", " trans_slice[:x_vox_trans, :] = img_slice[-x_vox_trans:, :]\n", " elif x_vox_trans == 0:\n", " trans_slice[:, :] = img_slice\n", " else:\n", " trans_slice[x_vox_trans:, :] = img_slice[:-x_vox_trans, :]\n", " return trans_slice" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "# Test positive translation does what we did before\n", "assert np.allclose(x_trans_slice(mid_vol1, 10), moved_mid_vol1)\n", "# Check negative translation reverses what we did before\n", "back_again = x_trans_slice(moved_mid_vol1, -10)\n", "assert np.allclose(back_again[:-10, :], mid_vol1[:-10, :])\n", "# Check zero translation works\n", "assert np.allclose(x_trans_slice(mid_vol1, 0), mid_vol1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we need some measure of whether the images are the same or different. This is called a *cost function*. The measure is high when the images are different, and low when they are similar.\n", "\n", "How about subtracting the images?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(mid_vol0 - moved_mid_vol1, cmap='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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vkEnHsjQ++K65hDalCPozZ87EmTNnIiLi2LFj8YY3vCG+//3vx/nz5+P555+P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\nJRxFHpQeA1MAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can we take the sum of this difference?\n", "\n", "No, we need something better:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def my_cost_func(slice0, slice1):\n", " \"\"\" Calculate a measure of similarity between two image slices\n", " \"\"\"\n", " return np.mean(np.abs(slice0 - slice1))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can check different values of translation with our cost function:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "costs = []\n", "translations = range(-25, 15)\n", "for t in translations:\n", " unmoved = x_trans_slice(moved_mid_vol1, t)\n", " cost = my_cost_func(unmoved, mid_vol0)\n", " costs.append(cost)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(translations, costs)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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VV64BAwa4BgwY4OrTp49P5bzuuutcPXr0cIWGhrrCw8Ndixcvdn33\n3Xeu4cOHu6KiolyJiYmuXbt2WR3zmJxZWVnN+r70eLMxERHxDTrRSUQkQKnAi4gEKBV4EZEApQIv\nIhKgVOBFRAKUCryISID6f4843/fv/iLDAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make it more general by passing in a cost function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "About passing functions as arguments:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def my_add(x, y):\n", " return x + y\n", "\n", "def my_mult(x, y):\n", " return x * y" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "print(my_add(2, 3))\n", "print(my_mult(2, 3))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "5\n", "6\n" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "def apply_func(x, y, func):\n", " return func(x, y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "print(apply_func(2, 3, my_add))\n", "print(apply_func(2, 3, my_mult))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "5\n", "6\n" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, we can pass our cost function function, as an argument, so we can try different cost functions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def cost_at_t(t, slice0, slice1, cost_func):\n", " \"\"\" Give cost function at translation value `t` and function `cost_func`\n", " \"\"\"\n", " unmoved = x_trans_slice(slice0, t)\n", " return cost_func(unmoved, slice1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "new_costs = []\n", "for t in translations:\n", " cost = cost_at_t(t, moved_mid_vol1, mid_vol0, my_cost_func)\n", " new_costs.append(cost)\n", "assert new_costs == costs " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So we can try other cost functions. Any other good ones?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(mid_vol1.ravel(), mid_vol0.ravel(), '.')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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FixcdjsfExODIkSMwGAxoaGiAxWLBn//8Z+Tm5sLLywvr168HADzxxBPYsGED\nUlJS7A3hkNGQpuQMvvwSaG6Wx3x8tF9b4OUFqL9LLFgABAQwV0Ajl9tXKldVVSE4OBjPP/88zp49\ni/vvvx+vvvoqGhsbYTAYAAAGgwGNdyuS1dXVOdz8TSYTamtrO113w4YNtscWiwUWi6U/zSM3UO9b\nAMhv7GVl2r9PYqKsfNrUJGcUqQvTEY0ExcXFKC4udsm1+xUQbt++jbKyMrz55ptISkrCSy+9ZBse\nUuh0OuiUcYMudPWaOiDQ0KLsW2A2yx6Cj482OQPnHoGyp7HJBBw+zGBAI4/zl+WNGzdqdu1+jfCa\nTCaYTCYkJSUBAJ5++mmUlZUhNDQUDXenltTX1yPk7mRwo9GIS6otp2pqamA0GgfadnIz9RqD3/1O\n7lvg6yt3Fzt2TJv3UAcDJR+RlCSHphgMiLTVr4AQGhqKqVOnoqKiAgBw6NAhzJw5E4sXL8bOnTsB\nADt37kRGRgYAID09Hbt374bVakVVVRUqKyuRnJys0Ucgd1GGiQ4eBCIigKoqGQi0mi+gBIBZs4Ap\nU+SOaSxBQeQ6/V6HcPbsWbzwwguwWq2IiIjA9u3bcefOHWRlZeHbb79FeHg43n33XQTe/Ze7efNm\nvP322/D29sZrr72GhQsXOjaESeUhQ0kgnz8PXL6sbdkJnU5uX9neDnzyCfDaa0wYE/WE+yGQW3S1\n+tjXF7h+3TXvxxpERPfmEQvTaPhzrk6qDBEpwWD8eNftLWA2swYR0WBjD4G6lJMjv527YvvK7owa\nJdcU/OhHsmQ1h4mI7o09BHK5iorBDQaAnKba3CyHoRgMiAYfewjUpalTXbeNpaKrZHRQEHDxIgMC\nUW+5faUyDV8xMbJK6Q8/uO49HnsMmDhRlsEuLgb8/YGrV2UwOHOGwYDIXThkRA4aGuRQ0e3bA7+W\ntzdgMAAPPWQ/NnMm8Ic/yPzEBx/ImUTnzsmfFy8C06YN/H2JqH84ZEQOxoyRawC08PDDwKefyhlK\nzz0nh4i2b2cPgEhLXIdAA6asKfD1lbuLrVsn9zj+7jtt9y2orua3fiJXYkCgAVNveB8cLMfwteoZ\nqE2ZAnRR2JaINMKkMg2YUp3Uz08md13FbHbdtYlIW+whjFCtrXLYqKUFOHTIPtNHCxMmyPUEs2bJ\nXghzBkSuwx4C9ZmSM7h4EQgLkwEgOBioq5MrhLXc0TQlBRg3jkXpiIYa9hCGGedksXJDVucMFGPG\nADdv9v1uERsqAAAUIUlEQVQ9dDo5lfSzz2Qv4PJl4L775HOzmRvXEA0mlq6gbqn3KMjJsR9XcgYB\nAfJnUlL/egV6vdz34L77ZA8jJESWwf7wQ7mWgMGAaOhiQBhmlBt/UpJ8rN7RzM9PBgEfH1maQj29\n1KsX/yfo9UBlpZxG+s03Mhl96JAMPIGBcrEZgwHR0MWAMMzk59t3FauutvcW1q4FrFagrU3+/OAD\ne0DQ6WQiuIctsKHTAQ8+aO9hqAMPy1QTDQ8MCMOM+pu6801bPczo/PjyZfux1FS5fiA4WD739pav\nHTliH4ZSBx72CoiGByaVhzFlaqky26erxLKzUaPkDKT77wf+679kz0KZmpqUxABA5Gm4Upm61d0s\nI0AGiNhYWcAuKEgWmvvsM7nrWVgYcPIk0NRkP1/ZwtI5sBCR5/CIWUZ37tyB2WzG4sWLAQDNzc1I\nTU1FdHQ0FixYgNbWVtu5ubm5iIqKQkxMDIqKigbeaupWd7OMcnKAjAwgPl7+vHjRPjPo6FFZxyg5\n2X6+egtLJoyJRoZ+9xD+9V//FaWlpWhra8O+ffuwbt06TJo0CevWrcPLL7+MlpYW5OXloby8HMuW\nLcPnn3+O2tpaPP7446ioqICX07QW9hD6T90ruHVLDu9MmiSHf27dAubMAW7cAI4dk+d3t3k9q5IS\nDT1u7yHU1NTgwIEDeOGFF2wN2bdvH1asWAEAWLFiBfbu3QsAKCgoQHZ2NvR6PcLDwxEZGYlTp05p\n0niS1L0CPz95w58xA2hslCUkDh0ClL9ys9lxOqoyHGSxAMuWATt2yBlIDAZEI0+/Slf88pe/xJYt\nW3BVVfymsbERBoMBAGAwGNDY2AgAqKurQ0pKiu08k8mE2m7KX27YsMH22GKxwGKx9Kd5I44ym2jS\nJLk2wN8fGDvW/rqfH3Dtmnw8bZp9Oiogg8F33zk+76r3QESeobi4GMXFxS65dp8Dwv79+xESEgKz\n2dxto3Q6HXQ9TGrv7jV1QKDey8+XN/K6OvuwUEYGsGSJHP65ds0+S2j7dtkTAGSgaGmRC84Arikg\nGgqcvyxv3LhRs2v3OSAcP34c+/btw4EDB3Dz5k1cvXoVzz77LAwGAxoaGhAaGor6+nqEhIQAAIxG\nIy5dumT7/ZqaGhiNRs0+wEjQ08whQD4/dw64cEE+T0hwzAE4zxLKzweio+0rjZcskcNMnEVENMKJ\nASguLhZPPvmkEEKItWvXiry8PCGEELm5uWL9+vVCCCHOnz8vEhMTRXt7u7h48aK47777REdHR6dr\nDbApw9ojjwghl4YJkZkpj/3iF/L41KlCPPSQEN7e9nN8fIRYtEiIlpbur7lokTw3Kann84jIs2l5\n7xxw+Wtl+OfXv/41srKysG3bNoSHh+PduwPRcXFxyMrKQlxcHLy9vbF169Yeh5OoM3WOoK5OJoOv\nXrUPD6k6YPDykqUplGmn3eUDlGEm9gqISMGFaUOAMuSzf7+cPgrI4HD5shz/v3ULGD9e5gSio2WC\nmKuKiUYGt087JddTpoKmpcnn774rb/wKb2857q/c8NvagAceAPbuZY0hIuof7pjmoZS1BYB96Ccg\nQJaW8PWVZSamTZNVShVC2FcVExH1FXsIg0j9rV9V2aNLXZWXLi0FTCYgPR1YsUJeZ9Ys+ZrZLBeV\nERH1F3MIg0hdbbS78hGKngrKqa+zZInc8IbJYaKRSct7J4eMBlFvNpVRksc3b8oS1C+9JFcWX7wo\nK5L6+zsuJNuxg4GAiLTBHsIgUn/rX7dO5gkuXJC5AH9/ORU0I8Nxz4LgYLmATI29AiJScD+EIUS9\nyjgkRH7b9/V1XEegmD4duHJFFqQDZF5g4kS5mjggQL7G6aREpMYhIw+nDgLqG7/6235oqPyprCMI\nCAB++MEeDCZPBg4ftl9vyxa5exl7BUTkKuwhuMCUKUB9vXwcEiKriSYlyZu+sldBZKTsLZhMwOnT\n8lydzr6v8ZIlck0BEVFP2EPwcDdv2h8nJcmegpJEdq5Kqqb8N+UUUiJyB/YQXCA1VfYEJkywDwnN\nmQN88438c+uWvPlPmCB3NVOGkfz8gB//WA4tKbmGrqqbEhEp2EPwcEajvKnfvi13LQNkgFCCg+Lq\nVXmO4to1YNy4zhvYcOUxEQ0GrlTWkLIS+cMP5bf+lhb7a2aznFqqGDfOMRgo57z1Vu/WKxARaY09\nhAFwnlK6d6+cGqrw9pY3/vZ2uW7g+nWZOPb2ljf/zz6Tw0HJyfIayqY2LE1NRO7AHEIvxcQADQ1y\n2Of0abmYbPJkeQyQ6wWamnp/vSlTgIce4k2fiAaGOQQ3aGiwf/t/+GG5KY3Van991KjeX8vXFzh+\nXAYVIiJPwRxCLyn1g3x9ZUCwWOTwDyCHf06dAsaOdfwdP7/O1xk7FigvZzAgIs/DgNBLp0/LRWTl\n5XLR2ZEj9iGiujrgpz8F7tyxn+/jI4vTLVggHwMySVxXx2BARJ6JOYQeKHmDmzflKuPWVpkkvn5d\nJop7IzNT5gmYJCYiV3D7FpqXLl3Co48+ipkzZyI+Ph6vv/46AKC5uRmpqamIjo7GggUL0KraBSY3\nNxdRUVGIiYlBUVGRJo13NSVv0N4uy09YrXIq6b2CgffdzExAgKxBpOxixmBARJ6sXwFBr9fj3/7t\n33D+/HmcPHkS//7v/46vvvoKeXl5SE1NRUVFBebPn4+8vDwAQHl5Ofbs2YPy8nIUFhZi9erV6Ojo\n0PSDaC0nR/YEAHuuoLeU9QVXrsiCdEREQ0G/AkJoaChmz54NAPDz80NsbCxqa2uxb98+rFixAgCw\nYsUK7L1bna2goADZ2dnQ6/UIDw9HZGQkTp06pdFH0IayqGzqVJk0/v3v7auKQ0P7HhQAICiIC8uI\naOgY8LTT6upqnDlzBg888AAaGxthMBgAAAaDAY136zbU1dUhJSXF9jsmkwm1tbWdrrVhwwbbY4vF\nAovFMtDm9Zp6U/uaGsfXlMql9xIUZF+dHBAAnDnDYSIi0lZxcTGKi4tdcu0BBYRr167hqaeewmuv\nvYbx48c7vKbT6aDr4Wt1V6+pA8JgUbasvHxZPh8/Hmhr69s1dDrg7FlZmuLBB+U01F27GAyISHvO\nX5Y3btyo2bX7HRBu3bqFp556Cs8++ywyMjIAyF5BQ0MDQkNDUV9fj5CQEACA0WjEpUuXbL9bU1MD\no9E4wKb3n/MGNuoeQHu7474E3fHyApQ0SFoakJAgH3fR8SEiGhL6lUMQQuDnP/854uLi8NJLL9mO\np6enY+fOnQCAnTt32gJFeno6du/eDavViqqqKlRWViI5OVmD5vfP/v1yeOjgQaC01PE1q7XnYDBv\nnpxFpHRwEhJkb4CIaKjrVw/h2LFj2LVrF2bNmgWz2QxATiv99a9/jaysLGzbtg3h4eF4927d5ri4\nOGRlZSEuLg7e3t7YunVrj8NJWlKGhG7elAvFpkxx3LRevZlNb0yYINciKGUsmpo4NEREw8OwX5im\n3s5yoAICgPh4Wabi1i055MQyFETkTlreO4dtQFDyBMePO25Ko5WxY4GvvmIwICL3YrXTHijlJtT7\nEmgtKAi4eJFDRUQ0vAy7HsK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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "def correl_cost(slice0, slice1):\n", " \"\"\" Negative correlation between the two images, flattened to 1D \"\"\"\n", " correl = np.corrcoef(slice0.ravel(), slice1.ravel())[0, 1]\n", " return -correl" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "corr_costs = [cost_at_t(t, moved_mid_vol1, mid_vol0, correl_cost)\n", " for t in translations]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(translations, corr_costs)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about non-integer translations? Will these work?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need a more general reampling algorithm. This is like slice timing, but in space." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import scipy.ndimage as snd" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Investigate ``snd.affine_transform``. Then:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def fancy_x_trans_slice(img_slice, x_vox_trans):\n", " \"\"\" Make a new copy of `img_slice` translated by `x_vox_trans` voxels\n", " \n", " `x_vox_trans` can be positive or negative, and can be a float.\n", " \"\"\"\n", " trans_slice = snd.affine_transform(img_slice, [1, 1], [-x_vox_trans, 0])\n", " return trans_slice" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "for t in translations:\n", " assert np.allclose(fancy_x_trans_slice(moved_mid_vol1, t),\n", " x_trans_slice(moved_mid_vol1, t))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "def fancy_cost_at_t(t, slice0, slice1, cost_func):\n", " \"\"\" Give cost function at translation value `t` and function `cost_func`\n", " \"\"\"\n", " unmoved = fancy_x_trans_slice(slice0, t)\n", " return cost_func(unmoved, slice1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "fine_costs = []\n", "fine_translations = np.linspace(-25, 15, 100)\n", "for t in fine_translations:\n", " cost = fancy_cost_at_t(t, moved_mid_vol1, mid_vol0, my_cost_func)\n", " fine_costs.append(cost)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(fine_translations, fine_costs)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 30, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are looking for the best x translation. At the moment we have to sample lots of x translations and then choose the best. Is there a better way?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import scipy.optimize as sopt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "sopt.fmin(fancy_cost_at_t, [0], args=(moved_mid_vol1, mid_vol0, my_cost_func))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Optimization terminated successfully.\n", " Current function value: 24.936150\n", " Iterations: 38\n", " Function evaluations: 76\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "array([-9.99996875])" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What actually happened there? Let's track the progress using a callback function:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def my_callback(params):\n", " print(\"Trying parameters \" + str(params))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "sopt.fmin(fancy_cost_at_t, [0], args=(moved_mid_vol1, mid_vol0, my_cost_func), callback=my_callback)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Trying parameters [-0.0005]\n", "Trying parameters [-0.0015]\n", "Trying parameters [-0.0035]\n", "Trying parameters [-0.0075]\n", "Trying parameters [-0.0155]\n", "Trying parameters [-0.0315]\n", "Trying parameters [-0.0635]\n", "Trying parameters [-0.1275]\n", "Trying parameters [-0.2555]\n", "Trying parameters [-0.5115]\n", "Trying parameters [-1.0235]\n", "Trying parameters [-2.0475]\n", "Trying parameters [-4.0955]\n", "Trying parameters [-8.1915]\n", "Trying parameters [-10.2395]\n", "Trying parameters [-10.2395]\n", "Trying parameters [-10.2395]\n", "Trying parameters [-9.9835]\n", "Trying parameters [-9.9835]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Trying parameters [-9.9835]\n", "Trying parameters [-9.9835]\n", "Trying parameters [-9.9835]\n", "Trying parameters [-9.9995]\n", "Trying parameters [-9.9995]\n", "Trying parameters [-9.9995]\n", "Trying parameters [-9.9995]\n", "Trying parameters [-9.9995]\n", "Trying parameters [-9.9995]\n", "Trying parameters [-9.9995]\n", "Trying parameters [-9.99975]\n", "Trying parameters [-9.99975]\n", "Trying parameters [-9.999875]\n", "Trying parameters [-9.999875]\n", "Trying parameters [-9.9999375]\n", "Trying parameters [-9.9999375]\n", "Trying parameters [-9.99996875]\n", "Trying parameters [-9.99996875]\n", "Optimization terminated successfully.\n", " Current function value: 24.936150\n", " Iterations: 38\n", " Function evaluations: 76\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "array([-9.99996875])" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about adding y translation as well?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def fancy_xy_trans_slice(img_slice, x_y_trans):\n", " \"\"\" Make a new copy of `img_slice` translated by `x_y_trans` voxels\n", " \n", " x_y_trans is a sequence or array length 2, containing the (x, y) translations in voxels.\n", " \n", " Values in `x_y_trans` can be positive or negative, and can be floats.\n", " \"\"\"\n", " x_y_trans = np.array(x_y_trans)\n", " trans_slice = snd.affine_transform(img_slice, [1, 1], -x_y_trans)\n", " return trans_slice" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "for t in translations:\n", " assert np.allclose(fancy_xy_trans_slice(moved_mid_vol1, (t, 0)),\n", " x_trans_slice(moved_mid_vol1, t))\n", " assert np.allclose(fancy_xy_trans_slice(moved_mid_vol1, (0, t)),\n", " x_trans_slice(moved_mid_vol1.T, t).T)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "def fancy_cost_at_xy_t(xy_t, slice0, slice1, cost_func):\n", " \"\"\" Give cost function at xy translation values `xy_t` and function `cost_func`\n", " \"\"\"\n", " unmoved = fancy_xy_trans_slice(slice0, xy_t)\n", " return cost_func(unmoved, slice1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "sopt.fmin(fancy_cost_at_xy_t, [0, 0], args=(moved_mid_vol1, mid_vol0, correl_cost), callback=my_callback)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Trying parameters [-0.0005 0.000375]\n", "Trying parameters [-0.0005 0.000375]\n", "Trying parameters [-0.0015 0.001 ]\n", "Trying parameters [-0.002 0.0008125]\n", "Trying parameters [-0.00425 0.00196875]\n", "Trying parameters [-0.006375 0.00217188]\n", "Trying parameters [-0.0119375 0.00458594]\n", "Trying parameters [-0.01896875 0.00619922]\n", "Trying parameters [-0.03360938 0.01183398]\n", "Trying parameters [-0.05499219 0.01787793]\n", "Trying parameters [-0.09496484 0.03216943]\n", "Trying parameters [-0.1577168 0.05140308]\n", "Trying parameters [-0.26903809 0.08960291]\n", "Trying parameters [-0.45020264 0.1471701 ]\n", "Trying parameters [-0.76342749 0.25235336]\n", "Trying parameters [-1.28236902 0.42007939]\n", "Trying parameters [-2.16828949 0.71430892]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Trying parameters [-3.64913278 1.19687574]\n", "Trying parameters [-6.16139537 2.02661822]\n", "Trying parameters [-10.37921325 3.4066231 ]\n", "Trying parameters [-10.37921325 3.4066231 ]\n", "Trying parameters [-8.32072352 2.73408816]\n", "Trying parameters [-8.32072352 2.73408816]\n", "Trying parameters [-9.29954918 3.05288812]\n", "Trying parameters [-9.29954918 3.05288812]\n", "Trying parameters [-9.29954918 3.05288812]\n", "Trying parameters [-9.29954918 3.05288812]\n", "Trying parameters [-9.29954918 3.05288812]\n", "Trying parameters [-9.29954918 3.05288812]\n", "Trying parameters [-9.37842421 3.07973801]\n", "Trying parameters [-9.3007237 3.0500423]\n", "Trying parameters [-9.3007237 3.0500423]\n", "Trying parameters [-9.26363524 3.03092572]\n", "Trying parameters [-9.26363524 3.03092572]\n", "Trying parameters [-9.29033912 3.03433613]\n", "Trying parameters [-9.16918333 2.98051658]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Trying parameters [-9.16201318 2.96042761]\n", "Trying parameters [-9.16201318 2.96042761]\n", "Trying parameters [-8.9659392 2.83952035]\n", "Trying parameters [-9.11021379 2.88670583]\n", "Trying parameters [-8.79020312 2.66848405]\n", "Trying parameters [-8.91874696 2.65374412]\n", "Trying parameters [-8.59873629 2.43552234]\n", "Trying parameters [-8.69581863 2.29693159]\n", "Trying parameters [-8.69581863 2.29693159]\n", "Trying parameters [-8.40996732 1.69241742]\n", "Trying parameters [-8.90706299 1.82660389]\n", "Trying parameters [-8.5839082 0.68466879]\n", "Trying parameters [-9.41652215 0.38207417]\n", "Trying parameters [-9.41652215 0.38207417]\n", "Trying parameters [-9.41652215 0.38207417]\n", "Trying parameters [-10.2491361 0.07947956]\n", "Trying parameters [-10.2491361 0.07947956]\n", "Trying parameters [-9.7403964 0.10694714]\n", "Trying parameters [-9.93708573 -0.16131299]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Trying parameters [-10.04393858 0.02614832]\n", "Trying parameters [-10.04393858 0.02614832]\n", "Trying parameters [-9.94589108 -0.06919882]\n", "Trying parameters [ -9.93018456e+00 -9.21422548e-04]\n", "Trying parameters [ -9.99098820e+00 -4.45590006e-03]\n", "Trying parameters [ -9.99098820e+00 -4.45590006e-03]\n", "Trying parameters [ -9.99098820e+00 -4.45590006e-03]\n", "Trying parameters [ -9.99098820e+00 -4.45590006e-03]\n", "Trying parameters [ -9.99098820e+00 -4.45590006e-03]\n", "Trying parameters [ -9.99098820e+00 -4.45590006e-03]\n", "Trying parameters [ -9.99098820e+00 -4.45590006e-03]\n", "Trying parameters [ -9.99098820e+00 -4.45590006e-03]\n", "Trying parameters [ -9.99098820e+00 -4.45590006e-03]\n", "Trying parameters [ -9.99886824e+00 -4.58503387e-03]\n", "Trying parameters [ -9.99886824e+00 -4.58503387e-03]\n", "Trying parameters [ -9.99886824e+00 -4.58503387e-03]\n", "Trying parameters [ -9.99886824e+00 -4.58503387e-03]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Trying parameters [ -9.99886824e+00 -4.58503387e-03]\n", "Trying parameters [ -9.99886824e+00 -4.58503387e-03]\n", "Trying parameters [ -9.99886824e+00 -4.58503387e-03]\n", "Trying parameters [ -9.99886824e+00 -4.58503387e-03]\n", "Trying parameters [ -9.99939090e+00 -2.75350566e-03]\n", "Trying parameters [ -9.99939090e+00 -2.75350566e-03]\n", "Trying parameters [ -9.99939090e+00 -2.75350566e-03]\n", "Trying parameters [ -9.99981858e+00 -4.12472145e-03]\n", "Trying parameters [ -9.99981858e+00 -4.12472145e-03]\n", "Trying parameters [ -9.99981858e+00 -4.12472145e-03]\n", "Trying parameters [ -9.99981858e+00 -4.12472145e-03]\n", "Trying parameters [ -9.99981858e+00 -4.12472145e-03]\n", "Trying parameters [ -9.99981858e+00 -4.12472145e-03]\n", "Trying parameters [ -9.99996768e+00 -3.25098885e-03]\n", "Trying parameters [ -9.99996768e+00 -3.25098885e-03]\n", "Trying parameters [ -9.99996768e+00 -3.25098885e-03]\n", "Trying parameters [ -9.99996768e+00 -3.25098885e-03]\n", "Trying parameters [ -9.99996768e+00 -3.25098885e-03]\n", "Trying parameters [ -9.99996768e+00 -3.25098885e-03]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Trying parameters [ -9.99996768e+00 -3.25098885e-03]\n", "Trying parameters [ -9.99996768e+00 -3.25098885e-03]\n", "Trying parameters [ -9.99999243e+00 -3.57752448e-03]\n", "Trying parameters [ -9.99998081e+00 -3.10855528e-03]\n", "Trying parameters [ -9.99998081e+00 -3.10855528e-03]\n", "Trying parameters [ -9.99999609e+00 -3.38906539e-03]\n", "Trying parameters [ -9.99999609e+00 -3.38906539e-03]\n", "Trying parameters [ -9.99999609e+00 -3.38906539e-03]\n", "Trying parameters [ -9.99999651e+00 -3.30086135e-03]\n", "Trying parameters [ -9.99999651e+00 -3.30086135e-03]\n", "Optimization terminated successfully.\n", " Current function value: -0.995571\n", " Iterations: 102\n", " Function evaluations: 188\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 38, "text": [ "array([ -9.99999651e+00, -3.30086135e-03])" ] } ], "prompt_number": 38 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "What if the images are from different modalities?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You'll need the example structural from long ago:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "anat_fname = 'ds107_sub001_highres.nii.gz'\n", "anat_img = nib.load(anat_fname)\n", "anat_data = anat_img.get_data()\n", "anat_data.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 39, "text": [ "(256, 256, 192)" ] } ], "prompt_number": 39 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember the EPI?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "data.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 40, "text": [ "(64, 64, 35, 164)" ] } ], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 2)\n", "fig.set_size_inches(10.5,18.5)\n", "axes[0].imshow(anat_data[:, :, 96], cmap=\"gray\")\n", "axes[1].imshow(data[:, :, 17, 0], cmap=\"gray\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 41, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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0tds33Z+2/fQeC+ps3C7rwPJY/eu1V2w8KWDL0k0W8NgxpJ6W2MvqTltGz21q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\n9MP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L7Zecoeag1OumW5LoViZ8T/+zP3RBAM+M1k9ufpqXX0GbyzbtDwe7PteLEQ2td04n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\nQmCC\n", "text": [ "" ] } ], "prompt_number": 41 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How do we make these match up?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember the affine?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "anat_img.get_affine()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 42, "text": [ "array([[ -1., 0., 0., 125.],\n", " [ 0., 1., 0., -144.],\n", " [ 0., 0., 1., -99.],\n", " [ 0., 0., 0., 1.]])" ] } ], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "img.get_affine()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 43, "text": [ "array([[ 3. , 0. , 0. , -93. ],\n", " [ 0. , 3. , 0. , -103.55609131],\n", " [ 0. , 0. , 3. , -51.73400116],\n", " [ 0. , 0. , 0. , 1. ]])" ] } ], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is the transformation to go from *voxels* in the functional image ``img`` to *voxels* in the anatomical image ``anat_img``?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "funcvox2mm = img.get_affine()\n", "anatvox2mm = anat_img.get_affine()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is the transformation from mm to anatomical voxels?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mm2anatvox = np.linalg.inv(anatvox2mm)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "funcvox2anatvox = np.dot(mm2anatvox, funcvox2mm)\n", "funcvox2anatvox" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 46, "text": [ "array([[ -3. , 0. , 0. , 218. ],\n", " [ 0. , 3. , 0. , 40.44390869],\n", " [ 0. , 0. , 3. , 47.26599884],\n", " [ 0. , 0. , 0. , 1. ]])" ] } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How can we use this with ``scipy.ndimage``?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "RZS = funcvox2anatvox[:3, :3]\n", "translations = funcvox2anatvox[:3, 3]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "resamp_anat = snd.affine_transform(anat_data, RZS, translations, output_shape=data.shape[:-1])\n", "resamp_anat.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 48, "text": [ "(64, 64, 35)" ] } ], "prompt_number": 48 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a mid-slice out of the resampled anatomy and compare to the functional:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "resamp_mid = resamp_anat[:, :, 17]\n", "fig, axes = plt.subplots(1, 2)\n", "fig.set_size_inches(10.5,18.5)\n", "axes[0].imshow(resamp_mid, cmap=\"gray\")\n", "axes[1].imshow(data[:, :, 17, 0], cmap=\"gray\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 49, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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FZ3/2Z39m//Iv/2IPHjyw//qv/zIzs2fPntm3v/1t++Uvf2kffvih/eQnP7HN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\nfd5sOiLL07AMqJn/3oW+QFRN68Rr0LgMrgvbMI9ygJOfLeVTQ1lw9gd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vvLVv/ByDNM5D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\nCI0BJu9zozfmuab6fpa0qk6ry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iXojHkVPpAS207GOYHTWORMZZKsClB9AFHG+p8GRe8p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XVZLcd2xwon5M9QU/wwPO+1+9QaYIGNblySOVfU8Z9ptvirfI6JUY6juZoiiAGk82wkwK6KK+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\nYs1cdQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Cross modality registration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about the correlation now?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(resamp_mid.ravel(), mid_vol0.ravel(), '.')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 50, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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YtjfIxWo4U29rSxwzIKt8RG8klS2ChAAhG0BC4CvYNQRnynCcbA4fGU6MzCIT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\nBnPRqCuvKERPqkiEMWC/nwk7kYkbrRL4OHR1Mbp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