{ "cells": [ { "cell_type": "markdown", "id": "5487b1bb", "metadata": {}, "source": [ "# Dynamic Time Warping Tutorial\n", "\n", "In this tutorial, we'll show how to use the `cdtw` package to run fast Dynamic Time Warping algorithms in Python." ] }, { "cell_type": "code", "execution_count": 1, "id": "2108164b", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import cdtw" ] }, { "cell_type": "markdown", "id": "d6dec02b", "metadata": {}, "source": [ "## Generate data\n", "\n", "Let's generate two signals of different sizes such that you cannot simply subtract one from another to find the difference.\n", "\n", "The task is to warp two signals together and find the distance between them (the difference, if you will)." ] }, { "cell_type": "code", "execution_count": 2, "id": "1f117f42", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(0)\n", "Nx, Ny = 100, 200\n", "tx = np.linspace(0, 4*np.pi, Nx)\n", "ty = np.linspace(0, 4*np.pi, Ny)\n", "x = np.sin(tx) + np.random.randn(Nx) * 0.1\n", "y = np.sin(2*ty - 0.5 * np.pi) + np.random.randn(Ny) * 0.1\n", "plt.plot(x, label='x')\n", "plt.plot(y, label='y')\n", "plt.legend();" ] }, { "cell_type": "markdown", "id": "56f3dc75", "metadata": {}, "source": [ "## Compute the DTW distance" ] }, { "cell_type": "code", "execution_count": 3, "id": "6bfbed12", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7.152381420135498" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cdtw.dtw_dist(x, y)" ] }, { "cell_type": "markdown", "id": "015ed589", "metadata": {}, "source": [ "## Find the best alignment (warping) between 'x' and 'y'\n", "\n", "To align `x` to `y` or vice versa, we need to compute the DTW distance matrix and then find the best warping path." ] }, { "cell_type": "code", "execution_count": 4, "id": "19f3c83e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(100, 200)\n" ] } ], "source": [ "dist_matrix = cdtw.dtw_mat(x, y)\n", "print(dist_matrix.shape)" ] }, { "cell_type": "markdown", "id": "a0827f25", "metadata": {}, "source": [ "The warping path size is always larger than the largest size of the input arrays, and an exception would be a trivial case of warping the signal with itself." ] }, { "cell_type": "code", "execution_count": 5, "id": "5b2765f6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(222, 2)\n" ] } ], "source": [ "warp_path = cdtw.dtw_path(dist_matrix)\n", "print(warp_path.shape)" ] }, { "cell_type": "markdown", "id": "4b79d7ea", "metadata": {}, "source": [ "### Plot the cost matrix and the found path" ] }, { "cell_type": "code", "execution_count": 6, "id": "93f667bc", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist_matrix = cdtw.dtw_mat(x, y)\n", "warp_path = cdtw.dtw_path(dist_matrix)\n", "ii, jj = warp_path.T\n", "plt.imshow(dist_matrix, origin='lower', cmap='gray')\n", "plt.plot(jj, ii);" ] }, { "cell_type": "markdown", "id": "b3134bf9", "metadata": {}, "source": [ "Note that the warping path does not necesserily follow the hollow (the black area) of the cost matrix. This is because, by definition, it must end in the upper right corner. And if we enlarge the last row (the top one), you'll see that the black area does not end in the upper right corner, which is gray." ] }, { "cell_type": "code", "execution_count": 7, "id": "830569a6", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(dist_matrix[-1:, :], origin='lower', cmap='gray', aspect=20);" ] }, { "cell_type": "markdown", "id": "3e32be40", "metadata": {}, "source": [ "### Plot aligned signals" ] }, { "cell_type": "code", "execution_count": 8, "id": "775dc682", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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EEb2LF510LDwOgVyEu56b4KyZEQIo8bI9WJxd5WwfgglwRKVRZF1i7fFiEuyGS3+r8tfCQ8XtXZZwUmZO+rysAgkbtRCZmBIvjmD5hn8AnHc57Pwj2Hr+orskQltJ607cuURpp0hhfcSOKuHicME7fgIffgi8IWgbAIcb9ByMPq72DXSDJ6AS/0DyXuqVW/8BbvhLNaOoDOkpdf6M6N2csG0rAJ1ajFueGCVhOKURZzseV/FSHehROWft2XFmElIuXXdYu+ta6Tm+VLiAagxqJvUmJqVUehWIeGkljBJMX2gJ8XLOX8EffWPJKcVBv4+9unESjj1VyRW2NlGju3RoELbvLnY8djjUhQ+KN0FTgAYN90XyXuoT85hau6haGDmgQq+z7j76B9Q51aHFeH48TmZWfW/CXXq+ujtUV+wBbVrKpeuFdAKufz88cUN552UxNE09oAAkI5KwuwpEvLQQztQsAMHOvnX9nLDPzX7dmIk0I0mDFcMMA1jnTZm84tPq1UwGNENGbUYJ7fO/qe7ahLVhhvyiR0s2R5MZPnPTU2QfuwGAbN/OwvywTqIcnEyQjyk3Le2dF+YNq8q/fm2KA5Nyg6sLnrsVHvsx3PV/F3deFsNrhHtTEQkbrQIRLy1CKpsjkFPipaOrf5m9lybkczGlG+EKSytzYZ0UnJcy4mX7bnjhe4qfm5Vhu96rXu/8HOy7s6rLE9aAeQOKlc5s+9L/7uHRu37Bsdph5vBx5hs+UHDafFqGmcgsujFROhvoLf2ZRq+XQW2K/RPivNQFZrVQcnZ1zgsUc9VS0VLBkk2qruhCWUS8tAgjM0k6UDHUts6edf2skM/NDIbVOSfipWKYnVZDQ+W//qp/MaqPtGJ33VPfDqe9U1WI/fTPigJIqA/MvIV5zssfDs3yHuctAPjO+BM2Dg6Apw3doZJ6O4mhmXlMbfOcUiNvoo9pDk5Eq7d2YeWYYcFUtFht5FqheDGdl+RsqfMCkveyBCJeWoTh6QQdmjoRtPmddFdJ2O9iSjfEizgvlWMp5wVUbPwvboO/vBN6jL4Rmgav+YLq1hkfh//5iKoAE+qDgvNSFC+6rhMZ2csrHKocXjvrL9QXNK0YOtKi+NLq3HKH5omX0AA6Gh4tx+SEVBzVBWapcypaDO061xI2muekSehoUUS8tAiHphIF54XFSqVXiHJezLDR5NI7CyunkPMyuPg+/k4YfEHpNk8A3vw1VZH0zE3w+PXVW6OwcvL54pNz7GhBVI5FU7w6+2ucmk5u6wXQe0Lxe4xzs0uL0qGrMK+3Y56YdbrJ+tUDiCbl0vWB2RE7l4aUccxX6rxYw0YiXlaMiJcW4ejkBG4tpz7xr28eSsjnYtrMeZGwUeVYznlZiv6T4Xxj+vovPy7ho3ogY7nxZBKF5N2nR6Mcr6n+Ls4TLyr9HsN52aaN4NSU2Al0LEywz7ep0FFg7uiCrwk1JjNXmE8FFBtJrth5sVYbSdhopYh4aRFmJ4zuug6velJfB2Gfm2kJG1Ue8yl6fi+IlfKSy1Unz8QkfP2VMCbjG2xl/lOzETp6ZjTCBs1wLNs3le5jPFgcr6mb4ZTeRlc4uOBHO9qNsurcBMlMroKLFlbN9P7Sz003erU5L6nIwr8ZcV4WRcRLMzM3Dde9BK5/H7EZY8ibt2PdPzbscxXCRvrc9Lp/noB64jJm3KzJeQFVmnnJ91TL8dmD8I3dMLGnYksUVklq3lOzIV6eHo0yVBAvG0v3MZyX4wzxMqG309O28CboMnq99GtTzCQyFVy0sGrm9/CJr9J5KQkbGc6LWakk4mVRRLw0M3d8DkYfg8d+gmZMrsW3vpARqJwXM2ykpSKqrb2wPkzXxR0oPomthe5j4c9/DYOnQmoWHv9ZZdYnrJ75lr8Rynt+ZIo+bUZtmy9ejJyXUx2q9HZSb6c7uPAmqBm9XgaYZiquEkQPTSeIJOVcrDnzxcuqw0ZmtZElYdecWyZho0UR8dKEpLI5Pv7/rid77/8rbNueegwAV9v6Ko0AfG4HCWeIvG7MNBL3Zf1Y813WOysq2A07XqfezxxY388S1s78G0/sKNlcnpgxDTrv9JVOcgc1RRwIaqrcdj/9dATK3ATDZpfdKaYTacaiSV72hTt419d/X9l/g7A8C8SLEUpfcdjICMFbq43MifHivCyKDGZsQh48MM0rD12Ly1mMhZ/lUG38KyFeNE0j6PMSyQboIK5ivPN7UQiro1BptMZ8l/l0bFGv0gHZPuaFjSIThxmbTNCbVyFcrWPjQqF66tvBHeTfbrqfQ9E893vP5e2OMmK2Q803OsWxj3tnpngOSOfy7BmTJ/Was+6wUbvxfeOqXxNYnBcRL4shzksTcuT5x3ml8yFyOIhsvBCAnQ71BK6ts9LIJOyTXi8VJbLEaIC1YIqXaXFe7CKbLG0g9+xzz/HMaJQh1M1Nmx8yAvW0/oK38ofBt/Kj3EtxLTaHbNPZjLo30anFGHzqmxyNqknkiXSOTC5f0X+HsAymeDFdNDNstNqEXWuFoIiXZRHx0oREDqsqk8ngsYRf+BYANIzGZYH19XgxKen1IuXS62epuUZrwXgyJ3JYWozbxOxMaTg1OX2Yq3751OLJuhY2d6kKo+7gIjdAp4vbBt8HwI7932VmslgyHU3K8a4Z2RSY+YSDp6pXM4y+6lLpGfXqcIOvQ71PSwflxRDx0oTMTQwDoIc3Qt9JpV9cZ4M6E9XrRZyXimGdKF0J2vpVxYKeg8ihyvxMYVXMzKqb2LSmwgK9zHBoeq4oXsKLi5cdg+rc2ty1eFuDw0Ov4sn8Fry5OK98+MP8m/tLvMpxP5E5SdqtGTMHVajHHVRVflAM/ay2SZ2JJwAeozxenJdFkZyXJiOX13FGD4EDfN2bS7t3wrob1Jls6wkyc9Aol05Msc4UU8EUL+EKiReHAzo2weRzKnTUubUyP1dYMbHIDAATno10pmbZ5otx3R+/kLPuzsIRlnRe3nDaBnxuJ+ceu3iOWmebj89n/5hveT7PxvgTbHTCmY6nGZ27rLL/EGFxzJBR17aig2Ky0sGM86sL3QHwGq62iJdFEeelyTgwGadXVzHXUN9WdUKZIQSoWNjo0guOJaKpk/XAIXmyXzdRcyhjhcQLSNKuzczFVHv/WNtWADzpGV59YjedGTUteinx4nE5eN2pQ3SX6fFi0hV0c1v+dK7u/jT/2fZuALqJEJlLV+YfICyPeW51bFkoXlwrDBt52sD6+Oe2Oi+SgL0YIl6ajKdHo4XunY4Oo3unNXRUobDRpq4Ax2xWoujJvfu5+/kJHj88iy5DAVfHs7+CW/6+GDevVM4LFEWrlEvbQioRAYzEXGNaNLGjxWM9v7vuKuk0Sqh/nd/FN3KvBcCl5UlEZ9b1c4VVYI4FaN+w0EFZqfPicJQKH3fAEDSI87IEEjZqAiLJDJf8v3u5YHsvHqfGWzATAlUvCPp2wLM3q/cVChsBnHnysXAI3Mlp3vHvqr/E//e203jDaRsq9juammQEfvgOyBsJlu5AZZ2XTnFe7CRnVBsFwx0qBylyCCaeKT5Nt6/vPOkymtdNxdNMJ3TmnB78WppkZALYvq6fLayQWUO8hDcUBYfJSp0XUMInpcQubr/kvKwAES9NwIMHpnlqJMJTIxG2dPr40Pxqhr6TiztXKGwE4A+rcr4hzxwdbjcziQzPHpXs+BWTnFHCxeGCl34Ctp6nLlyVQsqlbUPXdfRUDDRob++CkCFeDj+kdgh0r/tYm87L0WgSXYdpZxt+psjGZNJ7zSg4LxvB5Sv92kqdF1BJu4Z2kYTdlSHipQlIpIrN6BLTo3h8OXQ0NPMpvm9HcecKOi9mX4OTO7P89WYX+n3fZCTyocr9/GbHnGPiDcF5H638z5ecF9uYjKfx5efACR0dnUVHzRzXsES+y0oxnRczUjurtzGkTZGLi3ipGYUQ4EZVNm1lpdVGsETYSHJeFkNyXpqAeLrY12HQcF30tgFwGnH2vh1w/G44/U+K2yqBmT+TmOIVB6/hz12/5OSjv6jcz292TPHiqqDbYsUMG0VHFl5YhapycCpBUFON4zyBMLxQJdQyrjpdrzffBSDgceJxFS/h5rwx6btUI/J5iBiJ9uENZaqNVhk2MnGL87ISRLw0AfGUEi8+t6PQQ8LRYXmyczjhnT+BN3y5sr/YDEHNTTM0fR8A3pQ89a0YU7xUMlRkJdCtLoToMDNcnd8hlOXgZIIgSrzgaYPtr4JzLK5kBZwXTdPossw9KjaNnFn3zxZWQHwc8hnQHMpZW1BttMqwkYnkvKwIES9NQCKtwkavPWWId5/kVBvDNUiaNZ0XPYcrp27ErnRkiW8QSjCHsLkXb0S2LjTNEjqSvJdacmAyQVAzxKl5I3rFlbDxTPXeGspdB52WidMRQ7w4UzMV+dnCMpjNH9sGwOlap/Ni+V5PsBg2yiTgwD1w71eL8UEBkJyXpsB0XsJ+F+eGk/AcFXmyWxa3T914zZsw4M2KeFkxWePJ3O1ber/10LFZhSpEvNSUg1MW58W8MTnd8K6fwd47VBi3AnQFi2Fg3d8JadVPRqgBs5YyaVif8+JdxHkB+N4b1bVi45mwcdealtqMiPPSBJjipc3rKj4N1EK8wIK+Mf6cVButmGqHjaD4d2AOfhRqwp6jEUvYyHIj8oZgx8WrK6Ndgk5L2MhrDHH0ZmYr8rOFZYhYyqRBPchpllvqaquNTNwBVbmkGS66+ZATH1/7WpsQES9NQNwIGwU8LsvTQI3ES6C0eimQj5PPi725IqodNgJLXpIkcdaKaDLDs0cmcGnGjJv5/T8qSJclbNTWoVoXBHLiftaE2XkPipoGHov7sto+LybugPGz5v3dpOTB0IqIlybAdF6CXmfxhKpFzgsUnBfdOPnaictU25WSMZ6o5veHqCRGOTsJSaSuFQ/snyagJ4sbrM5LhbE6Lx09qjtzMC83uZpQ7lprDR2txnmZHzYC8KmBngUHRiZMlyDipQkwnZc2V161H4eKlGKuCGPgn3bKH6lfq8WZlam2K6MWzoulnF2oDffsnSwm67oDqtqvSlidl74+JV7CeoxkJrfYtwiVIlLG5fau0Xmxho1Msbv7n+Dcv4Ydr1Ofp6TnixURL01AMpniCtcPeMlDHwF0pfiDPbX55S/9JLzxOjj/4wC0McdMIrnMNwmAJeelms6LhI1qzb17Jwli9NWpYsgISquNBgeH1DYtSkQeIKrP/IRdKE6DhlU6L9YmdYbzcvKbYPc/F91TaVhXgoiXJmBb/BH+0nUjfSO3qw2921XMtBaE+uG0txdOMIemE5+VG+WKyFqezqtFwXmZrt7vEApEkhkePzxLkHll0lXC7PPSGXDjDakHlnbiROakKWFVyWUhNqrehxdzXtYaNpr3N2MKInFeShDx0gQEMyqfYa79WHjNF+CPv1v7Rbg8JDV1ss5FJb9iRdSi2shMqBbnpSbcv2+KvA7HGukKJU/iVeDkoTDdQQ8XntBXGP3h1HRisyJWq0p0BPS8mhYe7C1uL8l5WWPYaP71wEwClpyXEqTPSxPgz84AkOnZgf/M99u2jjlHG75cimREbpQrojAeoIphI9N5ySRUgnA1Q1QC9+5Vwv3UPiccpCZho99/4uU4HRpoGnP48JNkbnYc2FrV393SFMqkh8Bh8QA8a3Ve2ovv54sXcV7KIs5LExDIqr4OWqBGeS6LkHKpp4dMXJ76VkSmBmEjX3uxWkHcl6rz0MEZAE7sNi6tVRYvAC6nA80IE8ed6uaZlsnS1cUcdjq/JcVanZf5HXatmH9DUipdgoiXBiSZyfH5Xz3NI8Mz5PI64bzq6+Bqs1e8pN1KvOQkv2Jl1CJspGnFpF2pOKo6o7MqWb3Pa7QLqHLYaD4Jp3qCz0rotrocuFu9Dp5aur3QTdmzurxDl0flDWqOYoJu4WfKhOlySNioAfnl4yN8+bbneWR4hq/+yS46NaXIXaHeZb6zuuQ8SrzkEzO2rqNhyNZAvIAKHcXHpddLldF1nfGoSpQNa2W669aAtDsMaciJUK0u++5Qr9suKN1eEC+rCBmZvO0/1Tk6v1LU/JkSNipBxEsD8vhh5bSMRVIkUjm6MMWLvc5L3miqpCVnbF1Hw1AL5wWkXLpGROaypHOqq25QM0ulQ0t8R+XJeNohDvqcuJ9VY2YYpvaqcOyWc0u/Zrokaxn/sPms8tslYbcsEjZqQJ4eVeJlOpEmns7SZTgv2ny7scZoZrVDWmarrAizSZ2rBs4LSNioyozHlNsS9rlwZeNqY42dl6xXnYMOES/VY9+d6nXDC0urhKBY8rwW52UxJGG3LCJeGgxd13lqRImV6USGWLIoXhbESmuMw6+cF1dGnhBWhDkeoOrOi5RL14KxiHJb+sI+SBvipcY5L2a5tEsmS1ePxUJGUAzxVGjwJlBM2JWclxJEvDQY49EUU/E0ALm8zsjMHJ3Uh3hxB9UTvjcjg+FWRC2qjUAa1dWI8ZgSL0NBDZKG+1iDaiMrmhEidIt4qQ66DntN8XL+wq+bY1lCg5X7naYgyiYhJ52TTSTnpcF4cqRUGBydGMOtGXNMzNwGm/C0qd/vz4nzsiKyNRgPAJLzUiPGoyn+xvVD/mrkFzBibKyxeHEaDxA+eYCoDhPPqs66Lh9sKpOj0n8SvOvn0H1c5X6n9W8oFbX9Ol8viPPSYDw9WioMZiZUi+qk5qt++GEZ/GF1UgX1OBkjcVFYgpol7JqTpUW8VJPxaIrdjgeLG3ztsOnMmq7BbTxAeLOz3PDwoUJ+nFAhzHyXTWcu/tBx7Euho4KDcV2eYs8YCR0VEOelwXhqnvMSnVJTpGPOduzuneoPq5tkGDVZuqetgklrzYau12aqNBTDRuK8VJWxaIpebUZ98v7bYOAUcLprugZvWLVL2JYfpv2GC3lcO56Nn/hv2rxyqa8IB+9Vr1teUtvf6w2pMmpJ2i0gzkuD8bSRrOtxqUOXnB0DIOFqX/R7aoXTSAxt15R4EZYgl1GzUaC64wFAmtTViOlIlA7NSNTt3Fpz4QIwNKQ6vrZpSTY7xnmNdje3PvhszdfRtAz/Xr1uPru2v1eSdhcg4qWBSGVzPD+u/njP2KKEQs5oAz7n7rRtXQWMPi9h4swYScXCIpiuC9QwYVea1FWTbES5oHmHu1D1U2ucvdvhrEvhlD8m5VQ3vLsfeMCWtTQdM8MwO6z6u2w8o7a/u9CoTvIJTUS8NBDPjcXI5nXCPhcnDap+Am25GQDSdSFeOgDwaDliMYm1L4mZ76I5qv+EbjovyVnI56r7u1qZmBIvuUDv6lrDVxJNg4s+C2/5d7Te7QBER59n77g8sa8b03UZfEHN+/eI87IQES8NxJ6j6g/3xMEwXW0qgcvs8ZLx1oF48QTJooYAJiITNi+mzslayqSrfaMruAA6zM1U93e1KOlsHl9KOVtaW7/Nq1F4eo8FYIt2lJ88eMjm1TQBZr7L5nNq/7u9luGMczNw6EGVN9fCiHhpIMz+Ln0hL10BJV7MHi85m2zqEjSNOcOqfu7AEe7fP0Uu39on2KLUqtIIlLNjdv6UpN2qMBkvJus6wwP2LsakcxsAm7UxfvbQIfQWv9mtG1O8lCuRrjYeS5fdX3wIvv4yGL6v9uuoI0S8NBCxlJpUG/K56AyWOi95n70N6kxSThWbvfPRPbz1unv49t377V1QvWJ21632aAATSdqtKuPRFL2oxnRaqD6cFzq3ArBZO8rRSEqS6NdDchaOPq7e1zpZFyyTpaMw8gf1fmpv7ddRR4h4aSCiSXXxCfncdBnixZworQXrQ7z429VwyM0B5RJJrH0RCmXSNRIvUi5dVcYiljLpOgkb0aWcl60OVZE4KUn0a2f4fkBXblbIBmfNdE6TsxA5ot6nWjuvUMRLA2E6L21eF51G2MicKF0v4iVoNKp73XZVQWOuWZhHLcNGIM5LlRmPpejVjJEAbX32LsbEcF4GtQlcZJkW8bJ2jj6mXmtdZWRiho0mnoO8cU1NingRGoRIshg2mu+8ONt6bFtXCUbFUQjV7yIu4qU82RqLF3Feqsp4tA6dl7YBcPlwkWdImxTnZT1EVSdz2jfa8/vNsNHYE8VtqVl71lIniHhpIGLJovPS7nfj1PJ0GCLBE66Tpz0jcbgjY3T+FfFSnlo7L6YbsP93tfl9LYbKeZlRn9SLeHE4oGMLoJJ2p0S8rB2jDN62Y2s6LzMHi9vEeREaBWvOi9OhscWfwqGpCgJvqD7CRhyjxsRvGv5vPGREvCyGmfNSq4Td0/8EHC549pfw7C21+Z0txFhkrv7CRlDIe9miHRXxsh6iNosXs0mdFcl5ERoFa7URwBafenqf0YME/XZPNjI44bUQ3oAnNclrHfcST0lTtLKY1Ua1cl76dsDZH1Dvf/k3RedHqAixyAx+zRAHwToSL0beyyZxXtZHzAgb2ZGsC+Wnk7d4t10RLw2ENjfNte4v8YLfvAu++0auyFwLwJQeIuipk8FrThec8acAvMd1izgvi1HraiOAC/4WQoMwvR8e+Fbtfm8L4Eioip6suw08VR73sBo6xXmpCDF1fO1zXsqIFwkbVZ+vfOUrbNu2DZ/Px65du/jtb3+76L633347mqYt+Hj66adrsdS65sWpu7jYeS+hI3fD3tvYnlH/J/v1AQJep82rs/DC96I7PJzmeJ5jUmqNz41Feet1d3P7M2M2L65OyNbYeQFlPb/w3er9uJxPlcSbVB2lc4E6cl2gEDbarI1Jwu5aScWKbfklbFQ3VF28/OhHP+Kyyy7jk5/8JA8//DDnnXceF110EQcPHlzy+5555hlGRkYKH8cff3y1l1rX5PM63Tl1409vfSm86Wv8eOMn+Uj6A3xSvxS3s45MtLZeUie8DoCX5u8hl9f51RNHuX//NN+/d+nj3jLUOmHXxOzELDNSKoau6wTSxjiMesp3gULYaIt2lFRUBnOuCTNZ19NW3gGpBZ4y4kWcl+py9dVX8+d//ue8733vY8eOHVxzzTVs2rSJr371q0t+X19fHwMDA4UPp7OOnAUbiKWz9GvTAGhbXwynXsK+ja/nhvx5JD11kqxrwTl4CgC92izxdLbQ3XP/ZNzOZdUPhbBRjUMMHsuMFKEiJDN5uvQZABz1MhrApHMbGX8vbVqSz8x8TIUMhdVRqDSyUZiWE03ivFSPdDrNgw8+yO7du0u27969m7vvvnvJ7z399NMZHBzk5S9/Obfddls1l9kQxJJZ+lE9OlwdGwAK840C9ZLvYsHVpgRVJ1HiqSyzCSVeDk4mZN4RWMYD1DjR2rSfU+K8VIpIMlPo8eKql9EAJi4PE2/4T0b0Lrbph+C7b4Sc5KGtCrPHS5uNwtSasGu6MOlYS0+Jr6p4mZiYIJfL0d9fekL39/czOjpa9nsGBwf52te+xvXXX8/PfvYzTjjhBF7+8pdz5513lt0/lUoRiURKPpqRaDLLgOm8hIcACvON2rz1J160gGqa16VFiSWLzks6l+fIjFS62Oa8eMV5qTTRZKb+5hpZCG07nTem/omcrsH0PkjIxPdVUQ/OiycIGNPn+08qbm/h87gmdz1N00o+13V9wTaTE044gRNOOKHw+TnnnMPw8DBf+MIXOP/88xfsf9VVV/HpT3+6sguuQ2KpDMdrRnfUkBIvx/QGAdjYWeO8iZUQKDovU6lsyVC4vRNxNnXVUUWGHRRyXmrtvBgzUtKte9GrNLNz2frrrmsh6HEy7ewhjo8wc8p1K5NCISyCKV7sKpMG0DTlvqSj0H2cGs6YTarQkb/DvnXZSFWdl56eHpxO5wKXZWxsbIEbsxRnn302e/bsKfu1K664gtnZ2cLH8PDwutZcr8SjM4Q144YXHgTg9E0d/Pgvz+Hzbz3VxpUtgiletCjxVK5EvOyTYY2W8QCS89LoqLCR2aCu/sSLpml0BT3EMR5yRLiuDrsb1JmYrmnHZsugxuaMNKyEqooXj8fDrl27uPXWW0u233rrrZx77rkr/jkPP/wwg4ODZb/m9XoJh8MlH81IbkZNEk1ogULegqZpnLmtqzDnqK4wBkWGtTnic/ES8bJ/MmHXquoHu6qNJOel4kTmMhbnpc6qjQy6gh7iuuHyiXBdHWaDOtvFi3Hudmy2nMetK16qHja6/PLLede73sUZZ5zBOeecw9e+9jUOHjzIpZdeCijn5PDhw3z3u98F4JprrmHr1q2cfPLJpNNpvv/973P99ddz/fXXV3updU1+VomXGVcPDRFw8baTw4GTPJnoJJF5YaOWxxQvdiXs5lKQTYHLW9vf34RE51J0Y9xE7L7BLUJ3m4fYpCGURbiuDrNBnd35TP07YfI52HAG+MR5qbp4ueSSS5icnOSf/umfGBkZYefOndx0001s2aIGho2MjJT0fEmn03zsYx/j8OHD+P1+Tj75ZG688UZe85rXVHupdY0jNgJA1FOfT3YLcDiIO9sJ56bJRMaJWjrt7puQi2fRebEpbATqJibiZd2kIxO4tDx5NByBOpnuPo/OgIeY6bxIj5/VUQ/VRgBv/hq8+iqVe2OGjcR5qS4f/OAH+eAHP1j2a9/+9rdLPv/4xz/Oxz/+8RqsqrFwxZV4iXsbRLwACZcSL/GZo0CxF83h6TlS2RxeVwv37rErbOR0KcGUSajch2D99QhqNPJGWCHh6qDNWX+Vf0BpzouEjVZOLlOszrLbVXO6i0nDPhEvddSWVVgKb0IljSX99WlLlyPp7gAgNTsOQMDjpM3rIq/D8FSL571kbRIvIEm7FcYRV3/fc576dF0AuoMeYojzsmqMY4vDVShCqAu87eq1hcNGIl4ahEDKGPwWqLMOnkuQ9qhW9NmYenJp97vZ1qPKu/eOt3jei13OC5Qm7Sam4Ja/h7Gnar+OJsEdVw8WKV/9ipfOoIe4Ljkvq8YMGQX7wFFHt0tJ2BXx0ii0pdUTQC5UvuqqHsn6jDk6CTVTpd3vZqshXlpqTICuqynOB3+vPs/ni4MZXXaIF4vz8uiP4O5/g999qfbraBI8KSXOs4Fem1eyON1BD3FxXlZPPTSoK4ck7Ip4aRTaM0q8mN11G4GcrwsAT3oGgHCrOi/jT8P/XAY//VMlZEzhAjY5L5ZGdVGVS0VypvbraBL8KSXO9WCd3eAsdAU9xArOS+ve8FZNPTSoK4ck7NYmYVdYJ7kM7Xk1GsDZ0TjixYwRd2kqt6Ld72awXT39TcRSti2r5hjOE5HDSiw4LRU+toaNohA31pZp8RykddCWUf+H9TgawKS7zUMMCRutmpiR8xKsM1dNnBdxXhqC2FEc6KR1J95w/V4g56NZRgSAEi9BYw5TLNVCw+HSFmFw5JHi05LTAw4bKq4KCbuxYiVFWsTLWgnnjIGp9TZR2kJnoBg2yiUlUXvFmCE2b501P7U+gLQo4rw0AhFl7Y/RSchfh910F8HRttB5afOqm3U81ULTUDOWENmRhyFtfN57Qvn9q02J82KIFzOBWFg1nflp0MDbUb/5aJ0BD05fCHIwPDrGVrsX1CiYjqSnzlqDSthInJeGIHIYgFG9qy4nSC+GO6Ss1k6LeAl61Prj6VZ1Xh6Gfber99susGU5JQm7pvOSaaEcpAqSzOToYQYAf1f9hnQdDo13nKemEc/FZvn6b/fy4IHp1grfroW0TdPfl8MnpdKNcydsYbKRUVzAUb2D431uu5ezYrxhJV5U63S9JGwUb6WwUWaeeDEvhMdcaMtyCs5L2przIs7LWojGYvRq6vgGOutXvACceuwmuB2CzPF/blSl8QGPk3s/8XLCDXRdqSmmqK838VJwXmbtXYeNiPPSAKRjKll3Vm8j6G2crrT+dpWf49My+EnNEy8tFDZKW1yNxATMHlRNrzafY896PIZ4SUwVJwxLzsuaSEypkG4aF45Ah72LWQ4j16nbk2FLdwCHBol0jpGZ5DLf2MKk6zRsVOiwG1UVjC2IiJcGIJuYAWDOGcTlbJxDFmgLk9LVE10XUcJ+V0F8xdNZ9FY56cpV8mw8sxi+qTWm8zK9v7hNqo3WRHJaDUydohM0zebVLIPx9xbUE9zxNy9lsF1VH81lWuhBYrVk6jRsZJ7Der5l+/Y0zp2whTHFS8oZsnchqyTgdTGFWnOnFi3JedH1FrpopsvkkxxjU74LFC98U/uK2/IZNcdFWBWZiOrAOuPstHklK6AwUTwN2TR+j3qQmEu3yHm4FgoJu0F71zEfdwA0w4Vv0YojES8NgD43A0DG3VjiRdM0Zg3x0mWIl4DHWXhAbZlyafMCaJ1Ka1eyLhQdn/lJuuK+rJp8RDUxi7q6bF7JCvBYrh/pGH63uvklsyJeFqVeE3Y1reV7vYh4aQSMcricp856DayAqENlxfdr0/QcuhXtkR/wx557CBMn0Sp5L+YF0HRbPCHYsMu+9SzWs0LyXlaP0YE14amjoX2L4XSByxgRkIoWxYs4L4tjCvx6c16g5culpdqoAXAYGeX5emuUtAJizjBk4R9c3yP8i68B8FkNTnW9lFjqVTavrkaYF8BNZ8KWc6F9E7hs7NfjWSTXRpyXVeNMqA6sKW+ddWBdDE+bGk+RjuEzw0atEr5dCwXnxYZO2MvR4s6LiJcGwGlUhGi+xhMvCVcHZCGszYE7CL3b4cjDHO843Drl0lbr+bR32LsWKOY+zEfKpVeNe06Jl7S/fidKl+BtUxVvqWLYSMTLEtRrwi60fLm0iJcGwJVR4sUZaICkwHnEPL2QhBlCdLznvyCfhW/uZoBpnmsVu7reLoCLVTmJ87Jy9t8FT99If+xJAPJ1PJSxBE+xx4/PrUJdkrC7CLpevwm7ACGjo/PsIXvXYRMiXuodXcebVeLF29Zh71rWwO87X8fwZIzHO1/OtzfugpmDAPRp0zySbJHqlnSdxc0lbLR+fvaXEDmE0eeUbHizrctZMd7iXCu/WwmupDgv5bE6kfXy4GGlZ7t6nXjW3nXYhIiXeiebxKmr8Eog1AAVDfMJdnNt7k28qM1wjYyKG6+WJRsdBzbYt7ZaYYiCnzw6xZEDe2xejOIDzgCeXKlYuemh5zmt6yyGOuowvl9P5PMQVf1dbgm9kV9P9XJG78k2L2qFWOZa+SRstDRWMV+X4uV49TpRH9eUWiPipd5JqnhmTtdoC3XYu5Y1YM5iavcb7cddHqLODkK5GYiNAKfZtbSakUnGcQPfeWCMx/X6eEp6m9dDv9HWPqM7cWs5fvnQXn6de4arLznN3sXVO8kZ1RwM+LrvT7kvF+dljTIw1XTd0jFLn5e8jQuqY0zH1OUHRx0W5priZfwZFeKq9yaJFUbES71jiJcIQbravDYvZvWY4wDC/uLslKi7l1BuBmds1K5l1RbjCc7rD/HOU+ojvOB4OgypGQCi3j660iP4tRRH42l7F9YImJO4ve1MpdQNI+xvkEtpSdhInJclydRxpRFA17GApsR0YhKCDZI0XiEa5IxrYYwyuKjupzPYIE93Fs7c2sU3XPs455hiH4y4txeSe3DHW0O8OLLqIrixv5t/edMpNq/G4GvdcETlH3UNHQf7R/CTJp2Vp/BlMSZx5wNd7D+qns43ddZhWKEcloTdi577FBd4nuI/Ul+xd031SrqOk3VBzVvq2KTyCCeeFfEi1BkW56Uz0HiTX196Yh9PfPpVuC0zmeZ8/TAL3rmjNq6sRuSyOPMqMdkfrKNS90K5tAbtGwEIkCKdE/GyLAk1iTviaCeb19nSHWBTV4OIF9N5iYxw/NEbwQF3z94P2DQktJ6ptyrBcvRsL4qXLefavZqaUoeBPMFKOj4FQEQPNKTzApQIF4B0QE2bDiTH7FhObbG04A+21ZF4MZ/A/Z2FPAiflhLnZSUYYaPRjHoiP//4BmlQB8Wcl4P3FjYdG3vQpsXUOYUy6ToXL9CSSbsiXuqcueg0ADEtQMjbHEZZNqgqjoLpFhAvhvWc1R20t9WR/Ww6L8GewsU5QIqUzLlZHiNs9HxCtdo/7/gGsutN52X2YGHTScmHbFpMnWMm7Lrr6LydT6HiqD4KAWqJiJc6J2mIl6QzhNYk2eS60VypPTNh80pqgPH0lsBLZz0lXJs3sUBPwRb3I87LioirsNFwMoDLoXHOsQ0w18ikzIiRjdmDEBmxYTF1TkM5LyJehDojE1fiJdtgE6WXJDQEQEeuBcSL8fQ2h5fuegr7FZyX7qJ4kbDRyjByXib1EC/c0knI10C5aPMaFGZ14xaw7w4bFlPn1PNcIxNTvEwfgEzS3rXUGBEv9cjk8/DTP4fRx8gmZgDIeZpHvDg7lHgJ69Hmn6djOi+6l85AHYmXDqNku+vYwsXZT1oSdleCETaa0sOc30ghI1gwGuJ/8merN3tFvCwg0wBho2Av+NoBHaaet3s1NUXESz3y2E/g8Z/CvV9Fn1PVRrq3fZlvahx8oW6SuvG0Gm1yu7rgvPjobqsj8XLan8A7fgLnf6zgvKicFxEvy5GLqWGMU4Q4f3sDJetCifOS9XXy09wF6pO9t8Fz/6senASF+WBVz2EjTWvZ0JGIl3okpWYZMfEsmjExVPN32LeeChP0uRnVjVEH0ebu9ZIzxEuCOnNeXB7YvluFjzzFsJGIl+WZm1HiJdQ5wCkbGuyhwjJRPNO7kwfy20nrLvUQ8f03w7VnFOaPtTyFhN06Fi8AYWPESqwFCiAsiHipR7JG7HJiD860alLnCjTYRXIJgh4XR1GzjvTIEZtXU10SMXX85nQPHfXap2dewq6u6zYvqH7J5/K4U6p9wcvPOKnxkugtzku+/1SSePli7hL0/p3g9KqxByJeFPU8UdqKtzjyoZUQ8VKPmIlXyRk6kocB8AQ7bVxQZQl6nQXnJTtz2ObVVJe5uHLRMk7/gn43dUNBvKjRAJmciJfF+O2T+/Ea/0+vfNFJNq9mDVhyXrShFwDw/7KvJfP+3xbDD9nWSvxclHQDNKmDYs+mlIgXwW6yxSTWUE5VG3kbcaL0IgQ8LkZ1JcaaXbwkDfGSd9VxxYKl2giQpN0l+MU9jwOQ1TwEgg3ohroDymEBXBtOL2yey+TAZZTyZ2W+FWBJ2K3jcxeKzlA6vvR+TUZzdD1rNrKpBZsC4Y7ar6NKOB0aUw7VGyM/29wJu6mEKV7q+OnNUwwbAapcuo5a0tQTB4cPghP0QHdjTvHVNHjN5yAxhbvveJyO58jldZKZHO0F8SLOC1D/s41MRLwIdUOZ8uG29gYryVyGqKsb8kB83O6lVJV0Ul1QtHq+ABpPlgGreBEWkMnlCeZmwAlaIw/B2/VeADTA73YSS2WZS1ucl5w4L0DxOlzvYSNvcdhmKyFho3qkzJNPuL15wkYAabfq9KklZ+xdSJXJJlUc2uGt4wug0cfCr6XRyMuIgEWIp7J0o24QjrYGFi8WfG4nYISNnOK8lGCGjer5wQNa1nkR8VKPzHNeYrqPzlAd3/zWQMaj8gUcqRl7F1Jl8il1QXHOaw5WV1hi+j7S4rwsQjSZpVMzxEsjOy8W/B51C1A5L0Ypv+S8KBomYVfEi1AvzHvyiRIg7GuuCF/e2wGAKz1r70KqjG6UW7r99SxeihdnP2np9bIIsVSWbk2VvhNoEvFiOC/JdA5catAkuYU5dy1JI8w2gmL5u1QbCbYzz3lJaMHG6yexDLpPOS+ubKKpn/Q04+nNU8/ixeEo3LgCWkqqjRYhlsrSZYSNCDTQMMYl8JeEjUznRcJGQOM0qfNInxdhGW55YpTHD9fAKTAuHrpmXFicdXzjWyv+dvK6IciaOO/FkVXixR+s89lUxgXaJ5OlFyWazNBlhI0INod4Kcl5MZ2XJn6YWBUZCRvVMyJeVsjwVILLf/wH3vSV3/Hl21R5YdUwnJdY21YAUq46v/GtgaDXSxQj12Juxta1VBNXTh1LfzBs80qWwdKoTsRLeaLJLF3NFjbyGGGjTN7S50WcF3LZYtVVvSfstmiH3eZKpKgiQa+LFx/Xza+eOMrnf/UM37vnAAHjxK80v0wm8AJ3xYa4iOfJuptRvLiY0dto1xIwN233cqqGJz8HGrS11XlDM48MZ1wOFTYyxUtzOC8lYSMplS5iui7QAM6LIV4yCcjnwFGd+1K9IeJlhXQFPVz3J7v4yYOH+PQvnmA0Uq2nEx2vT108vp28kC73OIe2vomzqvTb7CLodTJDG1sYa9qw0Vw6h09PKfESrnfnRblgfk3CRosRm8vQYzovzVJtZE3YlVJpOPh7+PWV8JLL1Oeaoyjq6hWrM5RJlAzfbGZEvKwCTdP44zM28Yod/Tw3Vh2LTsul4Pvq/d+89624A+/jTY02uXYFBL0uZnXjpGtS52UqkS603A/Ufc6L0euFFOmc9HkphxY9QkibI4cTZ8cWu5dTEXwei/PilfEA/OE/4eDdcLfhXriD9d9J2eUDzQl6TlUciXgRFqMr6OHMbVVqGme5kZ9x3BA463QS8ToJel3Mom6Y/3bjfVx/S7/NK6o8mZzOrUbX2rrusAtF50USdhelbeZpAKb8W+l1+2xeTWUoCRsFzbBRC5dKJybV6/B96rXe5xqBEleeNkjNtlTSroiXesOcKK05m1a4AJzQH+JZw3nJJabZn00s8x2Nh0aegM+4EbjrXLyYOS8SNlqUzugzAEyHttNr81oqRUG8pK2l0q0sXqbUqyng6r3Hi4knaIiX1knaFfFSb5gTpV3N8WS3GGdu62L7WSfDg//LO04Jcd7Z59i9pIrjyCQKIcC6f4IrlEpLk7rF6IvvASDaeaLNK6kcxWoja6l0K4uXydLP6/2hw8TbBlFEvAg2YjovTWJLL0VHl3p+7XMn6dvSXLObAIhZckfqvWLBLdVGyzGYeh6AZNdJNq+kcvjKVRu1csLufPHSSM4LtFTYSPq81BsF56XOn9Qrgb9TvTZpwm5hsJvLr7rY1jNmnxcJG5UnHWcgexiAXO/JNi+mcvjcxmwjmSoNul7GeWkU8dJ6vV7Eeak3Wsh5KYqXGVuXUXFSMfjl34JuiIBGeHrzmE3qUkRkPMBCjj6JA50xvQNPx4Ddq6kYfpkqXSQ5qyp2rNR7or1JC843EvFSb5gXjpZwXjrUa7M5L4/8AB75fvHzRoibF6qNpMNuWY4+BsBT+c10e5vnslno81ISNmpR58V0XZxeyGfUw0e956qZSNhIsJ1sKzovTSZeHvuJeg32qdfOBugJYgisgJYU8VKO0ccBeErfQtjXPFWAJX1eXC1eKm1WGoX6oc/Ia2qYsFHriZfmeYRoFjKtUW0EgK9DvSZnVLy53ptBrYSpfXDoftWZ89K7IHoEGqGhmeGC9WqzpLLSpK5AOg7jz6Afuh8NeDK/mT/2Nc9ls7RU2rgBtmq1kem8BLph4AVw9PHGafhmrjMdtXcdNaR5zsJmoeC8NIhduR5M5yWfVYlmjXKhWIrHf6pet52vnuBCDdJ8z3jS3KEdIJ0R8QKoOTFfPRem92PK6qf0LQS9zTM7phg2ykuptFW8nP0B9flp77B3TStFnBfBdlrJeXH7VWOsXFol7Ta6eNF1eMwQL6e81d61rJbeE8lpLtpJ0JYasXs19UFiCqb3A5DpPJ7rxzdwwLkJr6uJxIulz4vu9CiR1qriZc4IGwW6oW8HvO0H9q5nNRSqjVpHvEjOS71RSNhtAfGiac2V9zL6GIw/rRL+drzO7tWsDpeHSOg4AAYSe2xeTJ1gPon7Onj+kt/wd9m/IORtnnwXKK02+pdb9gKgt2zOi3G8/Q3Yc8p0XlJR9RAVn1x6/yZAxEu90Uql0tBc4uWuq9Xria8BX+MN04y0q86xQ0kRLwAkJtRrsIdYMgtAWxPlu0CxSV0ineOGR9W/V8ul1Q2w1bCGjRoNq/Nyz5fh88fAk/9l75qqjIiXeqOVmtRBadJuI3P0SXji5+r9eR+zdSlrJdqp8l42pZ6zeSV1QtwQL4EeoilDvDRRmTQUw0YAKSyuUiuGjsxqo0ADOi9ei3jZ/1v1/vCD9q2nBjTXmdgMiPPSmNzxGUCHk94AAzvtXs2amDPa3m/JPG/zSuoEy5N4wXlpMvHicxWfX9NW8ZJLtc41yKShnRczYTdWfBCc3y24yWiuM7EZaKUmdWBpVDdj5yrWx9jThkWrwQV/Z/dq1kyyW4mXvvy4egptxCfQSmJe/IPdxAznJdRkYSOX04HH6SCdy5O23g5azHmZncvA5CjtwM1704zO7LN7SauiZzbCxUAsMoU/NYkTOHjoEL/5XfX+HU6HxrvO2Vq1n78czXUmNgOt1KQOmsN5OfyAet36Euhv3KF9rkAHB/J9bHGMqeTjYy6we0n2Ygkbmc5LqIka1Jn43Eq8gEZKd+PVMi0nXq79zR4ujU2ABlffPcWz+pN2L2lVHKeNcLEX2pKjhW3jRw9z5X9X79/hcTlEvAgWMi2a89LI4sU8Zg3uVHhcDp7Qt7KFMRh9VMSLJWE3GmvOsBHAQLuPSDLGi7Z2khpx4aX1xMv+8QgdqLlAu3Ycx3ZXY53LnRkHzDNZNnnnuPjEwar9TrfT3pTZmpyJX/nKV/j85z/PyMgIJ598Mtdccw3nnXfeovvfcccdXH755TzxxBMMDQ3x8Y9/nEsvvbQWS7WfVnVeGjlhN5NQr43SSnwRvC4HT+a38BrnffD0TbDrT4uJgK2INedlojmrjQC+9PbTGZlN8uSRCKkRNzDXciMC5qLTODVVYXXVOy8AZ4M5bIkp+Fzppj5njGvf8UJ71lMDqi6dfvSjH3HZZZfxyU9+kocffpjzzjuPiy66iIMHD5bdf9++fbzmNa/hvPPO4+GHH+YTn/gEf/3Xf831119f7aXWB63UpA6K4qWR+xKYx6zBuyJ7XA5+kz+dLA44eDd87QIYf8buZdmH+TcZ6CGazADN6bycOBDmpSf0Efa5ikm7Lea85KLKZct6Qo0nXKBYKm0lOQO5bM2XUiuqLl6uvvpq/vzP/5z3ve997Nixg2uuuYZNmzbx1a9+tez+1113HZs3b+aaa65hx44dvO997+PP/uzP+MIXvlDtpdYHrdSkDqBHNUbj6GON21uiSZwXj9PBk/pW/iz/DxDeAJPPwS1/b/ey7KMQNmrehF0rIZ+blN564kXX9YLLpvsbsNIIwOVR3crn08jh+GWoqnhJp9M8+OCD7N69u2T77t27ufvuu8t+zz333LNg/1e96lU88MADZDKZBfunUikikUjJR0PTJE/xK6bvZNWRNjkLkw1aotskbpnXrS4H9+ROhDd8WW2cKe+QNj2WGxqBonhpRufFJGR1XloobBRNZWnLzwLgDDaoeIFiubQVU4A3IVUVLxMTE+RyOfr7S4fT9ff3Mzo6WvZ7RkdHy+6fzWaZmFh4IK666ira29sLH5s2barcP8AOWs15cXlg8FT1vlGbKjWJ4PQYCXiZnE7e1wRVYOshFVUzt8AIGzW/eAn73cVy6RZyXiaiKTo1NY3Z0dDixTIbzrx/NHGvl5qkC2uaVvK5rusLti23f7ntAFdccQWzs7OFj+Hh4Qqs2EZaaaq0yYZd6rXhxUuDh42sDcu8HerN3EzjhvPWg/nE6g6AJ1B0Xpo6bOQqdtltJfESS9NpVBo1ZIM6E9N5cbig32iU2cTipapnYk9PD06nc4HLMjY2tsBdMRkYGCi7v8vlort74R+W1+vF6/VWbtF2k2kx5wVg4xnwe4r9UhqNZnFerOLFHcYHKnyQmQNPYwuzVVNoFd8DUOjzEm7CPi8mIZ+byRbMeZmIFZ2XphAvHZshNKDeN7F4qarz4vF42LVrF7feemvJ9ltvvZVzzz237Pecc845C/a/5ZZbOOOMM3C7m/fCUSDbHDfCVWE6L6OPNeZFs4kSdk1SWgA0Y+5NI5exrxWjQd1oNshbr7ub8Zj6u2zmsJHVecmk52xeTe0Yj6bo1VTOS0OLF7OtQdcxxZ5TIl7WzuWXX87Xv/51vvnNb/LUU0/xkY98hIMHDxb6tlxxxRW8+93vLux/6aWXcuDAAS6//HKeeuopvvnNb/KNb3yDj32sMYfdrZpWdF46t6qLRi4No4/bvZrVU3BeGvuYaZpWEDDpvG4Z3dCCeS9G2OjpiIf790+Ty+sEPE56Q03k8s6jzVNM2J1Lto54mYilGMK4ybdvtHcx68FjFS+GCGvkFhTLUPXHiEsuuYTJyUn+6Z/+iZGREXbu3MlNN93Eli1bABgZGSnp+bJt2zZuuukmPvKRj/DlL3+ZoaEhvvSlL/GWt7yl2ku1n3y+mOXfSuJF05T7sucWlfeycZfdK1od2ebIeQHVqC6dy5PO5lUPnsRkY8+dWiuG8zJJiOP62vjY7u1s7w8RbGLnxeHQyBvltulkwubV1I6JWIoN2rj6pL2BCz5M4TXwgpYYzliTM/GDH/wgH/zgB8t+7dvf/vaCbRdccAEPPfRQlVdVh5jJutDwT/GrpiBeHgD+wu7VrI4myXkBI+8lhRIvzTC6Ya0YF/1pPcT5x/fy6p3Va7NeT+hOL+QgnUwuv3OTMBGZY0Azcpwa2Xm58ArYdgEc/0p47Cdqm4gXoSZYxUurzDYyGXiBeh1/2t51rIVmEy9QdF6gNXNejIv+lB7mzG2NNedmXTg9kINMqnWcl2xkFI+WI685cYQaWKT6O+DE16j3ZtioicWLvZOVhFLMm6DDBc4W05XmjTIVtXcda6FJEnbBIl5yuZbOeUlHxgCYJMyLtnbavJoa4lI5PZl06zgvnthhADLBgea57hpVciJehNpQaFDX+E/wq8bMlE/F7F3HWmiSDrtQrDhKZSzOSwvmvCRmlHjxhHrpbmveJN35OIy/4WyqNRJ2dV0nMDei3ocbOGQ0H6k2EmpKq02UtmJmyqcbTLzoetM0qYPiiIBUrrVzXnQjYXfDhia6oa0Azbj25DIN2LJgFfz4/mHO/9xtPHRwmv68Eqquri02r6qCmGGjTALSzRkCFPFST2Ra2XkxWltnEpDP2buW1ZBNAUYH2mbIeXG2ds7LZCzFgwem8KZUAuexW5vohrYCnB7lMuUzzR02uvGxEQ5OJfjszc8wpCl3wtXZwJVG8/GGwGH0RZubsnctVULESz2QisIj/wFJ4wm3lZ0XaCz3JWN5qmkG8VKSsNuhNs7NQC4D//UhePTHtq2t2iTSWV76hdt5+1fvJIBy00467hibV1VbnB71N6w3uXhJpFXH5Pv2TbFBM0ZBNHKZ9Hw0remTdpskO6nB+fkH4Kn/ho1nqs+bIHdi1bi8KlE5n1V5L752u1e0MgpJ1m5wNn4HaI9LddVNZ/PQZhnOuO9OePh7cPBeeMEf27jC6jE6mySSzHKS4wgASUeQDQMNXH2yBtwede3Rs2mbV1Jd4qmiu1sQLx1NJF4Agj0QGy30LGo2xHmxm0MPKOECcOg+9dqK4kXTGjPvpckGaRbCRtacl+QMTO9T79NxW9ZVC8wb2vn+/QD4tr5I/V22EG6vce3JGX/XTTqU03ReAIaa0XkBS9KuhI2ESqPr8OsrF25vxbARFPNeGqlculAm3Rzixesyq41ylmqjaZjer95nm7cKJZrKAHCq9pzasOEMG1djDx6vSjrXcmm47Sq4egfMDNu8qsoTTyuhGiZOWDP+phu5QV05mjxsJOLFTp7/X9j/W3B6wVqm14oJu1B0XhpKvDRPgzooipd0zpLzkpyFKcN5aeJcCNN5OVnfozZsbEHx4lN/x45cCp74GURHYO/t9i6qCiRSynnZ4lSuxJyrvTiVuVkwxUvsqL3rqBIiXuzksevV6673wElvKG5vdeelkcJGTdSgDuYl7JphIz0PI4+q99m5pg0lxFIZQiTYmDOchhZ0Xnw+9XfsyKdhVjVvY+p5G1dUefJ5nURGCdV3n6T+3vPNFjIC6NuhXo88bO86qoSIFzuJquZIDJ0Ox76suL1VnZdGbFTXZM5LiXhx+4p/i7PF4amqPLz5iKVyvMDxPA506NgCbb12L6nm+P3qeHfkpyFj5DdN7bVxRZUnmc0V9PfrtyoRE+zdat+CqsWms9TroQcaq/3EChHxYidxY5JpsA+2nKvmikDrOi+NmLBb6K7bJOLFaWlSB8XQkZVsc4aOYsksp2mGy7DxRfYuxiZ8fhU6GdAteRKTzSVe4qkcW7RR/sb1QzxPGu53UzovJ4EnBOkojD1p92oqjogXO4mpzo609YInAJvPUZ83yY1w1TRkwm5zOi+pjCleysz1aVLxEk9lOd3RuvkuAAHDeXFoltDg1N6mChUm0lk+5voxf+X6Bdrh+9XG7mPtXVQ1cDiLf8cH77V3LVVAxItd5HOQMEr0gn3q9bR3gOZo2QtnYzovzVZtZPR5yeUZiybJl+u3k2nOiqNYMsNpDsN5acF8FwCfv8zfcSbeVEmf8VSOAc0oHz7xYnj5p+DUt9u7qGqx+Wz1OnyfveuoAtKkzi4SUyoRElQzIYBT36YSd5vkRrhqGjrnpbkSdn/33AQ/vn+Yn3c72Tl/pyZ1Xhzxo/RoEfI4cQycYvdybEFbzPWd2guhgdoupkok0lk6MPJ5zvpL2Ha+vQuqJpuMxqfD4rwIlSJuhIz8XaWdWVtVuECDOi/NGTY6MJkgm9c5nCwzUblJnRezmVfKE27dvDOXp/z2JkrajadzdGhGaNrfZe9iqs3GFyk3f+YgREbsXk1FEfFiF4V8lz5711FPNGLOS7Y5xYvJ0UyZf1eTOi9aehaArDts80psZF537xnd6H0y2Tzl0olkpui8lMvpaia8Ieg/Wb0f/r29a6kwIl7solBp1HrlmIsizovteJ2ll4SxEvFitMpvUufFkYoAkPM2yFytauAsdV5+nzd6hTSR85JKRHBrRulwoMmdFyjOzDvykL3rqDAiXuxCnJeFNKLz0mQJu5u7Ve7Omdu68DgdzGCZ9t25Rb02qfPiMsSL3sriZZ7zcnfeeGpvokZ1eWNQYVrzNs15uyQhY7jo3Iyty6g0Il7swsx5CYp4KSAJu7Zz1rYufv5XL+a7f3YmvSEvETNs4Gkr9sJoUufFnVXiRWuUiebVwFWa41R0XvY1Tbl0LjENQMLZIuFBc+xBkw1VFfFiF+aY8hbs4rkonkYcD9BcYSNN0zhtUwc+t5OekJcjumGr955YfCpv0g673qxy/DR/C4sXhxMcqgg16e1mrz5IHoc6J023uMHR5lRidtLVIsfZYzxYmS5xkyDixS5i4rwswNvAgxmbsLFgX8jLA/oJ3L3zn+ENXy5W4DThZGld1/EZ4sUVaPIkzuVwKvclHRwijZsxh9HKoUnyXrQ55bykPK3ivDRgLuEKEPFiF4WwkTgvBawnWaNY1E3mvFjpDXkBjd+3vxr6TiwKtCacLD2XyRFCPZm621pcvJjl0uENABzMGw9Ys8M2LaiyOFMzAGQ8Hbauo2YUwkbivAiVIGZUG0nYqIjpvOSzjROaaLKp0lb6QuoJfDxmHIsmdl5iqSxhzRAvwVYXL+o4u7tUjtNkzhCtyVm7VlRR3IZ4yXpb5Dib1ybJeRHWja6XDmUUFB5LZUujWJxN77zAWMQQL03svMSSWcJG74+WTtiFQrm0t2szLodGVDdufo0Uzl0Cj9HPJ+/rsHchtcK8rmZEvAjrZW4a8hn1XsJGRRzO4lNCo1wom6zayEpv2zznxaxEaaJS6TufHee5sRjxVI52zbi4t8pNbTEM58XRsYGeNi8xDNHaKOfkMviyMwDozd5d18QjzotQKUzXxdveum3IF6PRkssKHXab7zj2hdW/aTxiiBXTXWqSUunhqQTv/uZ9/MX3HiCayhA2cl5odedl4xlKjG98EX1hL9GCeInYu64K4TdK4h2tkpgtOS9CxSg0qBPXZQGN1uulBcJG47EUuq6zZyqrvtAkzstYVP079k3EmUlkCJvOi7/DvkXVA2/4MvzN89Cxmb6Qt+nCRoGcKV66bV5JjXAb4iU7B/mcvWupICJe7EAa1C1OI3XZ1fWmTtjtaVO5D5mczq+fGuM/HjL+bptEvMRT6kKu6/Dc0QghDCHa6s6LphVCDb0hX9OFjUK6URLf1ipho2DxfROFjkS82IFUGi1OoVFdA1woc2nQ8+p9EzovXpeTjoCaeP6j+4dJosSM3iRho0S6+BR6YOQoDs0oz/e2SP+PFdAX8hLTm1O8uEM9Nq+kRri8arI0NFWjOhEvdiDOy+I0UtjIeiFoQucFikm7tz8zRlI3nJhUc1wA5zLZwvujR0cByGiepsxfWisq58X4226CUmk9lyWsK/fB1yriRdMsuYTivAjrQYYyLk4jJeyaJcOaE5xue9dSJfrCSrxk83rBeckkm0O8WJ2XmWk1riPpDNm1nLqkL+Qj2gzOy93XwrUvIjP6ZMFh87W3SM4LNGWvFxEvdmC22W7faO866pFGdF6a1HWBovMCkEIJtGyzOC8W8dJmPI2n3CJerPSFmqRU+vHrYeJZ8vd/E4Co7ifga75Q76I04XBGES+1Jp+DI4+o90On27qUuqTgvDTAhbKJK41MzHJpoOC85NPNl/NiNqjLuiXfxUpfuJjzojdyqbRxrrr3/BKAWYK4nC10+ysMZxTxIqyV8WfUH5CnDXq2272a+qNQbdQIzkvzixer89LVbtzYm6XaKF3MeTFHA2RbZVjfCulp8xLT1I1Py6UbZ2zHfIybtjOucpuiWosdZ8l5EdbN4QfV69DpqqOsUEpD5bw0f9jIzHlxaPDiE1WYU2sS8WING7UbzosulUYluJ0OvH5LKK1RQ0fzGrRFHS0WHmzCRnUiXmqNVbwIC2mknBfzJt7E1SknD4VxaHDB9l429am+GK58gz59z6MkbGQ4L3qrjwYoQ3c4QEw3/sYbteJoXnl/wtliIrWQsNsA19UV4rJ7AS3HkYfU64Zd9q6jXjHDRo1wkrWA83JcX4jffPRCuts8HNn/LAAuPW3zqirDXJmcF4e/xRvUlWGw3Ud0OkAbycZ0XqzNJA3mXC0mXgrDGcV5EdZCZg6OPqHei3gpj6eBOuy2QM4LwNaeICGfm/6uDgB8pEla8kUalUSZnBdHq48GKMO2nrbGblSXmQP0kk0pV4uJ1CYczijipZaMPgb5rJokLWXS5fEZT0TJGVuXsSLMC3kTOy9W2sPFPIGjUzP2LaRCmGEjj8tRGMroCrbIsL5VcExv0FIu3YAVRxa3Ia+pPMOUp8OmxdiElEoL68LMd9mwS3U9FBYSNEYmxCfsXcdKmB1Wry0iRDWLw3R0csa+hVQIU7wc29tWGMroaRPxMp9je9sau1GdKV5cPiZCOwBIeVuoQR0UhzOKeBHWxJGH1auEjBYnaLTsTsfqPzN+xhAvHZvtXUetcLrJGZeM5nBeVNjo+L62Qs6Lt1WG9a2CY3uDRA3nJTPXgAm75nXE7ec3Wy/na9nXsq/rPHvXVGvEeRHWhTkWoFVudmvBGwan0VskUefuy8xB9dpCxzPrUMdmcqYBwwfzMBN2j+trK+S8+EIiXubTG/KScqib3+zUpM2rWQNmYzZ3kL2+k/jX7DtxB1otYddsUlfnD4SrQMRLLSkkeLZGjsSa0DRL6Gjc3rUshyle2jfZu44aknOqktnp2QZ8Ap9HIqPEy47BcCHnRfO1WCLnCtA0DadRhRWZnbJ5NWvAvO56AsRTym0LeFqsx1Yj9c9aISJeakm2NapT1o0ZOorVsXhJx4vOUAs5L7pLiZexqVkOTibI5fVlvqN+MXNeThoIENKMc1P6vJTF29YBQDw6be9C1oIlbGQe86CnxbqEFPq8iPMirIUWKa1dN43gvMweUq/edmih8lozaff5kQnO//xtvOsbv7d5RWsjm8uTzuY5QTtIx/P/XfyCr8XCCSskGOoAIB2bsXUda8ISNio4L95Wc16aL+elxeSnzYh4WRmNIF5aMN8FwOcPQgTCrixk4MEDDfgkjgoZbWCcGz2fwHVjXm30hMDptndhdUp7Zw/sg3yyAXOdLGGjkWnVFTvsa7HjbIoXGcworAnzJHKJeFmStgYol545oF47WiffBcBhjEL4//7IKDnNKgej0ZhL59jl2INLy6P72mHTWfDyf7B7WXVLd7cqLdbSUXS9wUKFhtuQxMdjh2fRNDjrmBZLzBbnRVgX4rysjILzMmbvOpai1cqkTYycF7+Wxrx8RJMZui3TpxuBRDrHDocSoNrOt8DF/9fmFdU3vd0qD82fTzARS9MbaqDjbVTYHDbSPU7f1EFfqHnnkZVFcl6ENWOdryHVRksjYaP6xRDejmySNq8pXhpvVEAineVEzTiG/TvtXUwD4DE6D4dIsHe8wSpWjIfG/UbEa/fJAzYuxiYKs43ikG88p7QcIl5qRTZFYb6GOC9LY1YbmWGjR/4D9v/OvvWUo1XFi+G8kE0S8inxEklmbFzQ2phL59jhMI7hwCn2LqYRMAamtmlzPD/eYKEHI1Syb1Zdf3ef1G/nauzBDBtB8SE6NgY/+VPY91t71rRORLzUiqxlJLuIl6WxOi9jT8HPPwDXv8/eNc2nMBqgtXJeCn+7mbmCeGlE5yUVGWdAM5KN+3bYu5hGwBQvzLF3rMFGBBg367ju4djeIMf0ttm8IBtw+wFjJI0pXp78L3jiZ/D762xb1noQ8VIrzHwXh0sqGpYj2Kde4xPFeVDRI4Z7VQdk5iB2VL1vaedF/R1HG9B5cY+r6e4jzsHCjVlYAqOE3KPlGB5vsAozI89jTve2ZsgIVPPPQtKuEfYzne0GTeIV8VIrpLvuygkYQ9P0HOy/q7g9OmrPeuZj9njxhMDfYoP8yjgvkQZ0XnxTTwJwyHOszStpENxBdOPJ/ehEHeeilcNwGhJ4OWtbi1UZWZmftJswRj3Uy0PhKhHxUisKZdItluW+FlyeYqfTvbcXt9eLeCnku2xqvengLqPKJJsq9MqIzDWe8xKcfgaAUZ+IlxXhcKAbSZ+RmUlS2ZzNC1oFhniZw8tAewtff+eXS5sdwq0pDQ2EiJdaIWXSq8PMe4mOFLdFj9izlvm0arIuFHsUZRs756U9osTLWPB4m1fSOJhzn4L6HAcmG6fkNp9SN+s53Ut/q5VIW5nfqE6cF2FFSJn06jDFi5V6cV7M6eChFoyfG03qyFhzXhpMvOQydMT3AjDVtt3mxTQOmqXiqJHKpbOGeEk7fHQEWjjfcIHzYgzZzIjzIixFVrWlFudlhbSVEy8jC7fZwZxx0pu5Oa2E6bzMTfHOZz7MP7i+13gJuxN7cOkZorqfdNsGu1fTOBji5SRtP2MHn7V5MSsnZ4gXrz+E1mphXivzc17MhF1xXoQlyRQnmworoJzzEqkT8WLarf4WTP4znZfnf8Ommft4l/MWoo2W8xJTDt4hvQe/12PzYhoIo+LoH9w/4N33vR6evcXmBa0Q42btb2vBEmkr1mojXbeEjZL2rWkdiHipFZLzsjqs4qX3RPVaL85LQpwXcmlAlc7q5kWwUZhTpb4RggQ8LTZdeD2c9k4SgY1EdeNvYP+d9q5nhWhZJV6CwRafGF7IeUlAKgJ546FDxIuwJOK8rA6zyy7A8a9Ur/WS82LerAMt7LxY8MzV8QyqcszNADCjt4l4WQ0738zBd9/DZ7NvA0CfaIzQkdOopmkLtdu8Epux5rxYHziySeXENBhVFS/T09O8613vor29nfb2dt71rncxMzOz5Pe8973vRdO0ko+zzz67msusDRlD3cpE6ZVhdV6OqzPx0tI5LwvFiz/ZYOIlOQPArB7E7xbxshq2dgd5Xh8CIDfWAOIln8edV9fe9nCLOy+FnJdY0T0G0POQb7Cke6osXt7xjnfwyCOPcPPNN3PzzTfzyCOP8K53vWvZ73v1q1/NyMhI4eOmm26q5jJrg4SNVkebUcnj74QNL1Tv01FI1UFrcvPEb7UGdVBWvATTDda0zHBeZgkS8LjsXUuD4XM7SbSr3jjO2QPFh7J6xRIS6epowfPVijmcMR0vJuuaNGDFUdXO3Keeeoqbb76Ze++9l7POOguAf//3f+ecc87hmWee4YQTTlj0e71eLwMDTVaGKqXSq2PDLnjhu2HTWarKwRNS4iU6am8792yq2F67FZ0Xi/hODZ6Bd+QBwtlJdF1vnEoOi/NynFecl9XS0bORyMEAYRIwtRf6T7J7SYuTKfaj6exs8bCRWcEZOVIaNoKGrDiqmvNyzz330N7eXhAuAGeffTbt7e3cfffdS37v7bffTl9fH9u3b+f9738/Y2OL29KpVIpIJFLyUZdIqfTqcLrg9f8Gp/+J+jw8qF7tTto1XRfNCb4WvBh2HwfeMBxzIWy7AIAefYpUNm/vulaD1XmRsNGqOXEwXAgdMfGMvYtZDqOnSVJ30xdu8Wtv93HqdfK5MuKlzh20MlRNvIyOjtLX17dge19fH6Oji+cuXHTRRfzgBz/gN7/5DV/84he5//77ednLXkYqVV4ZXnXVVYWcmvb2djZtqtMpv5Kwuz7MhnDWcumJPeqjlliTdRvFaagkgS742LPwjh/j7lA9Uvq1aSKN1OvFqDaa1dskbLQGTt7QznN5U7zU+PxbJZmkckkTeOkPt3B3XYAuYxTG9P7iYFmTVhAvV1555YKE2vkfDzzwAEBZG3k5e/mSSy7hta99LTt37uR1r3sdv/zlL3n22We58cYby+5/xRVXMDs7W/gYHh5e7T+pNkjOy/oIzXNe0gn495fD118BuRreOM1k3Vbs8WLi9oPLi8Nww/q06cbqsmuGjQjil2qjVbNzqOi85Mfr23mZjcwCMIePrkCL9/QJb1A5a/ksHHmk9GsNKF5W/djxoQ99iLe97W1L7rN161YeffRRjh49uuBr4+Pj9Pf3r/j3DQ4OsmXLFvbsKa/wvV4vXq93xT/PNsR5WR+m82JWHE08Cyl1YWJupnxH3mpQcF5aMN9lPsYx6ddmONpI4mVO/d3M6tLnZS1s7Q5yyKkc7vTo09SznzEzO0sPkNZ8OBwt6JRacTig6xgYexIOP1j6tQbMeVm1eOnp6aGnp2fZ/c455xxmZ2e57777OPPMMwH4/e9/z+zsLOeee+6Kf9/k5CTDw8MMDg6udqn1hZRKr4+QYVObzov1iS85W0PxYpZJt7DzYmK4Yb3MsCfeOE9uenIaDbPaSMTLanE4NJx9J8AEuKafh3xe3RjrkKjhvOTKVMm1JKZ4mT9JugGrjar2F7djxw5e/epX8/73v597772Xe++9l/e///1cfPHFJZVGJ554IjfccAMAsViMj33sY9xzzz3s37+f22+/nde97nX09PTwpje9qVpLrQ0SNlofBefFFC9PF7+WnK3dOkS8FAn2kseBS8uTjjRIr5dcFs0ot1fOi+S8rIXuTdtJ605cuTmIHLJ7OYsSjaljnXNJlScA3ceW396AzktV5fIPfvADTjnlFHbv3s3u3bt5wQtewPe+972SfZ555hlmZ9XNx+l08thjj/GGN7yB7du38573vIft27dzzz33EArZWB5bCaRUen3Mz3kpcV5marcOyXkp4nQRcareGbnZIzYvZiHDUwle9sXb+e49+4sbLUI37mjD46pPx6DeOWljN/t144GijjvtJmJG9alcdxVd88SLWTHZCjkvq6Grq4vvf//7S+6jW9oS+/1+fvWrX1VzSfYhpdLro8OoIps9rBrV2ea8SM6LlYi7m47cZP10P7Zw//4p9o7HueHhw7z7nK1qoyF0o7ofj6fFEzjXwc4NKml3O4fJjz2D47hX2L2ksqQSynlxeES8AMVyaZPwRnX9bEDxIo8dtUISdtdHeAg6toCeg+dvg+l9xa/V0nmRsFEJcY9qh+CI1Z94MXvPTMQslnhJd13Jd1krx/W2sVdTDxTx4UdtXs3ipOZUqbTL1+ITpU1KwkZaMRwv4kVYFMl5WT/HXKhe7/+6msdhIs6LbSR9Sry4EwsrC+0mlckBMBFNFzcmjYnSepDuYANUKdYpLqeDWIea9n7k2Qf502/dx97xmM2rKkXXdeaMnBe3X8QLAG39xTEB/s7isEYRL8KiFMSL2Jdr5hjV0ZV9d5Rur6V4kZyXEjIB1fbAW4fDGU3nZS6TI55SpdzZuNmgLsjbzqzThpYNQseW0wDYnD3AHc8c5WcPHbZ3QfN4eHiG5JwSL72dHfYupl7QNFVxBOoBzKzCqvcZVWUQ8VIrTPEiJXtrx2hHvwCpNrKNXJsSL/U4nNE6smA8qkJHjz+3H4A5V4g/PkPEy3p4z8UvJef04dfSbNGOMjOXXv6bash//v4gftSavIEGL/ioJGboKNgDLsN9FOdFKEsuA3mjC6yEjdZOsAf6dxY/79iiXmslXrJpSBnVCxI2AkAzqsBCmYll9qw9qWyu8H4iliKf13no2f0ADPYP4pO5RuvC5/XgNIYynqgdZHaufhoVRpIZ/vvRIwQ0I99JHO8iZsVRoLt4PxLxIpTF2gBITqL1Yea9gJo4DYUkzIqTSarkYLMHgjETB7TWHMpYBke7Ei8d2cll9qw9qUzReZmIpXjgwHQhbHTs5g12Lau56D8ZgBMdw0Tm6me+1X89fJhkJk+f1xBUZm6HADsuhvZNsOP14rwIy1D4w9CKfyzC2rCGjjapzs1Vc17u+Tf43htVgjAUk3X9neCQp3YAb7uqVmjXZ1Wn1TqiJGwUS7N3PEY7asqwp03CfhXBFC/awboazvmzh1X+zTHtxkgAcbyLDJ0OH3kcTr2kmMbQgE3qpL1kLbCWSbfiJOJKsvXFKlzka4deVe1QNfEyvV+9jj2pXuck32U+gXYVPnOgq5Cav8PeBVmwho3Goyly+TynaEq81NM6GxqreKkj5+XgZIIwMbpcEjZakkLCbuONBxDxUg1SMdUJtud49bmUSVcOTxD+6j7lfJiN6qolXlJG6eesUUUhZdIL6AqHmNM9+LU0c9FJ/HUkCpLzwkbxVJbzNOOY+jttWlWT0afEyxbHGFmjssducnmdK9Jf4o98d4JZwS9ho/I0sPMiYaNq8NM/hWvPgHGjbbaMBqgsbh843eDrUJ9XTbwYF+OI0fo+IWXS8+lu8xLVVN+IfcP1NSKgJGE3mmJ4KlEIGxX+doT1EewmG1Shw4HkXpsXo5iOp3iV4/7ihtCQCpUIC5GcF6GEyefV69gT6rUwUVrKpCuKmTSbS1XH9iyIl8Og65AwKmrEeSkh7Q4DcGik3sRLqfMyPD1HWMJGlccIHR2jHyCZyS2zc/WZPXqQkDZHFgd8chQufxLa+uxeVn0i1UZCCeaNNDZe+rmEjSqLpw0040+4Gu5LOlZ8Tc4Wc2A6pD9ICYaIPHq0vkYEWKuNhqfnGI+mxHmpAs6+HQAcqx2pi6Td5MhTAIw4BiXPcDkKYSMRLwJA1hArcaPrqISNqoPDAV711F8V8ZKyxPAjR2DKmKc0fzJri2NW7kxP1leX3fkJuy6ytGnGRVpyXiqG1rUVgI3aBJE66PWSM6ZcH/XIQ8ayFMJGkvMiQDFMFDOyxQoTpSVsVHHM0FHVxcvhYjjQbK8tABBs7wEgGZ0sEQx2Yw0bAUXXBaRPTyXp2AzARm28LpwX19RzAEz5t9m8kgbAZUQDGrDaSMRLpdH1ovNSCBuJ81I1zNyFSosXXS8VLxN7wJyc3C3ixYpZLt2mx9lztH6G8y0QL2a+i7dd+vRUEqt4qYNy6WBEPWTEQyJelkWcF6GANXZYCBtJzkvVMJ+gK91lNzMHusVF2H+XevV3SshhHprx/9FOnCeO1HDO1DLMd4EKzotfXJeK0q7CMx1anER0epmdq09HYj8Amc7j7V1IIyAJu0IBq/22wHkR8VJxCmGjmcr+3PQ8B+GAIV4k32UhRvJruxbn8cMRe9diwUzY9bnVZe5C5yPqC2EZDVBRvG1EHeo8zE0fZCqe5trf7OHIjA2hiFSU9oy67mq9Il6WRUqlhQJW8RIfU+GHQqm0iJeKU62cl9S8hlvmz+8W8bIAI3QXJs4DB6a5f/8U03H7JwybYaMNHX56mOV9zpvUF87+gI2rak5mPGrGlXPmAD+49wBfuOVZrrvj+dovZGIPAON6O6GO3tr//kZDqo2EAlbxkk2qm6A4L9WjWo3qUos4CJKsuxCL8/LUSIS3XncPu6+5k0zO3llHZthoQ2eAD7t+RlBLMdd3mhpIJ1SUqF+JF3fsEPsn1fXugPFaVe7/Btz2r+ohEQri5bn8BnraPNX//Y1OA3fYlfEAlSY7zyqNj1tyXiRht+JUzXkxwkZOr2qCZyJho4UYzssGb4pt4SD7JuKMR1NMx9P0he2psNN1nY7sBN/0fJ5NR6IEnEYuxiuulL4fVWAusBGmwR8/zBHjelf1sFE6ATf9jcpN2/4q2LALJp4B4Hl9kBe3yRDcZbE6L7reUOeGOC+VZn7JWWxMSqWrScF5manszzXDRt3HlW6XSqOFGMegx5Xgto9dSEfADcCsjZUnmZzOSxyPcZLjAKHsFE5N53bOwL/9pbatqZlJhzYC0DZ3hMMzRfGim45INRh/uphUv/cOAHJjpngZolucl+VxWQReg7kvIl4qzQLxclRKpatJtXNe2npLZxlJ2GghZrn63Azk87T77RcvqWyOEOq8G+9/Ca9MfY6v9H3KtvU0O/mwKpfuSI8wMquugfF0jkiyik3rjj5RfL/3NrWOMdVd94C2kZBXAgvLYk1lmB81qHPk6Faa+YlPJWEjyXmpONUSL2lDvHhDqjplbkqJGCmTXkih1b4OqUidiJc8bajzrmvoWF6//WWcv10SOKuFo3MLAF2ZUTK5ottyZGau8PdQcazi5eC9cOBu3NPPk9JdHA6ciNZAIRDbcLjUiBU9L85Ly5OZl6QWGys+xYvzUnmq7bx4w9BulNaK61Iet68YO0/OsNETp5tZ28VLSFPixekL8eGXH8+pmzpsW0+z4+5W4iVMnLClk3FV816OPl58n0vDLz4MwE35s3CHZHjqitC0hq04EvFSaTLz/gCiIzD6mHrfI30HKk61E3Y9bRAeUu+lTHpxTPclPsFVRy/lZu/fEonVoNpkEVKZHG1G2EhGAVSftnCYCV3NGduojRe2V0286HrReek/Rb1OqrEA38++gu6gJOuuGFO8zL931TkiXirNfOdl7x2q7NYbhv6d9qypmbHmW1QyOTBlCRttf7W6AZ742sr9/GbDPA6HHqA9N0WvFiE3e8S25aSyecKG84I3ZNs6WoWwz80hXc24soqXwzPVuSHe8eCjMDdFHgf/5X1dYftk8Dge1LdLsu5qEOdFACyVRUaIaPaget10psxTqQbmU7WeW9gVdz2UiJdXwd8egJPeULmf32yYzsvBuwub9OioPWuhNOelMHlcqBphv5tDusoper/rRv7Z8102auNVcV4yuTzf+y/VcPD5/CD//GxxevR/5l4BaPRImfTKadD5RpKwW2lM56VjsyrlM9l8jj3raXbcAdCcSrykopV7yi4k7LapV0n+WxrTeTl4b2GT05ztZQOpTI6QZpyL4rxUnaDHyfNsBH7PixzP8iKexelMccPs9or/rmgyy7H5A+CEbO8O3rZ9F3c8+mpC0ee4buYMALqD4rysmMJ8I6k2am3MuGHHFhEvtUDT1M0pObOwpf96sCbsCstjOi+xo4VN7jkbxUs2T2ch50WOYbXRNI2ful7HTDrAKY59vNl5Fyc6hjlShbBRZC7DiQ7laO849Rx2nH8CEy/+Lud99jbmUH1fusV5WTkN6rxI2KjSmGEjY0w8AE6P6v4oVAfz5pSs4FBAU7x42ir3M5sZ03mx4EtN1H4dBqlsnjbJeakpjkAH38pdxHVZlYNynHaY0cgc2QqPiYgkM5yoGeF4I4+wp83Lu8/dUthHcl5WgasxJ0uLeKk0Ztgo2FPMexl6oXTXrSamO7LYPKK1YFYbyY1vZZTpfxNM2ylecoQKOS9SbVQLwj7Vz2WfPoiuOQlrc/TkpxiLVvaJfjY+x7GakQzef1Jh+1+efywBj8or3NAhPbVWjOm8mFGDXFbNi9p/l31rWgEiXiqN+Qfg9kPQaIq1RUJGVcUUGFUJG4l4WRGFRnVFQtnJ8vve9HG49szKl7dbSKazhT4vEjaqDWG/ykIIBvxoRluB7Y5DFU/aTc5O4NGMsQChocL2rqCHb//pmXz2LaewvV/O2xUzv9romZvgjs/Crz5h35pWgIiXSmM6Ly4/9BjJase+zL71tAIF50XEi21Ywka6pi4rnfmphfvpOjzyH2qA3vB9q/892fSKdstbQ4hyDGuC6bxs6PBD7wkAHK8dLsw6qhSZqMqlijrC4CxN2zxzWxeXvGhzuW8TFsOMCpg5LweMisHIiD3rWSEiXiqNdQjjG78C7/o5bDvf1iU1PQXnpUJho3y+WHYtN76VYXFecoMvBKCXGZKZXOl+icliJdfU3tX9jge+Bf86BM/cvOyuelL9jiyu4pOlUFVM8TLU4YfeEwE4TjvEyGxlcylyhniJu2RUR0UoOC+GyDTbHSQmIJ8r/z11gIiXSmMdwtjWB8fKFNuqU+mwUSYO6KU/W1gai/PiPPZCADUiID7vxjW1r/h+8vnV/Y7Hfgr5DOz/7fL7Gs5LyhmUMvcaYSbJbu4KFMTL8Y7DHJ4udV4OTSf40v/u4fHDawwbxlUTvKRHxEtFsFYbpaLFjvB6HhJl3NM6QUqlK42Z8yJPe7XDV+GwkZmsqznlOK4Ui/OibTuf3G+/iFPTiU2N0N9xXHG/aYt4WY3zkk3D4QfU+9gKSrDTSrwknUGCK/8twjp459lbSGfzvPfFWyGlnti3a4eYiqtwxFw6x/+58Ul+/MAwmZzOXc9N8OO/XH0+oJZQuVRpb9cyeworwlptdOh+JVpM4uPQVp8DTUW8VBqZIF17THekUgmg1nwXeWpfGdZqo/6dzGjtdOszJKePABbxMrVG8TLyh2JIdgXN7xzGMUw7RbrUig0dfv7+YqP6J3M8eRy0awlcCXW8bnvkac596HJe74yQczj48ejFwOrFizupxEvW11Oppbc21mqjA/eUfi0+Bpy04FvqAREvKyWXgX13QDoOJ74OHItE3LIiXmpOpRN2pUHd6mnrg9Pfpf7Pgt3MOrrozs2QnpmX9Gd1XmYOqLJM5wouQwctF9UVOC8OI68m45Kwny24fcy1bSIYO0BXXInU0L5bOM9ZTNIeyE0xFf8bulbZDdeTUqEMPSCToyuCtdpo9NHSr8XGF+5fJ0jOy0rJZeD7b4Efv3vh8EUr1lJpoTasVrwc/D387z8t3lFy/mgAYXk0Dd5wLbz6XwGIutWNJR+ZN9/I6rzks8XZX8tRIl6OLr6fgTNjiBe3HEO7mOs4HoDe1H61ITkNwP7AKWRxcIxjlEN7n1z1z/Vn1M+p13BGw2FWG6WicMgIzZpDhG0c8bEcIl5WitsPGCGEdHzx/ayl0kJtWG210f9+Gn77RXjuf8t/Xcqk103cY1j60aOqYsGsWjCdF4fhtkyuIHSUz5fMTCIxpR4mlsCVUXlLWREvtpHtUq0iBtMHAHCkVFh3ou0EnvOeDED66VtX/XPbskq8uEIiXiqC6bzs/62KHPi7YMuL1ba4OC+Nj6YVO+Zm5omX2BiMPaXeZ8V5qTnzq43u/Dz85E/VTa8c5rTjxU5MES/rJuVTNxZXYhS+dRFccwpEjhRdk01nq9eV5L1M7oG5KfVAoDkBHeJLd+91ZZV4ybnlGNqFo30DAOGcEhsO4+Ei723nSLfKdQkdvnPVPzeUUyLIHe6vxDIFU7xEjRDvSa8vuloSNmoSPEby33zn5ftvhuteoi7OhVJpES81w1ptpOvw26vhiZ/BxLPl958zyv8WS/A1q41krtGayQb6ADhu4n9h+PcQOQx3X6u+6OuADaer98uJl9lD8OiP1PuNZxS7Vi8TOnIbzktejqFtuIOqGiiYj6HrOi6jAgxfO8ktqnHn5tkHlnXR5tOhq/PW3yHipSKYD+UAL3w3XPR5CKrzt57DRpKwuxo8AYgD6Xk5L1P7VPz+qCV+K+KldlhzXtKxooAslwOTz8HcjHqfnCn/88zwkzgva0ZvUzeWYHamuPHBb6vXrm3QpdrHM7VEr5e7roFff6r4+eazleCMjS6btOvJKfGiS9K1bXjCSryEiZPK5nFn1fmo+dvpPPYMJu4O00NEdVre+uIV/cxUao52TT08BjsGqrPwVuO4l8MJr1WvZ/yZijK0meJFnJfmwHyKs4aNrN1YZw4Ut0vOS+2who2ilgTRdBnxkpyl0IBuUedFwkbrRQuVubGY503nNug6Rr1fynnZd4d67dgMp7wVXvQ+METRck+E3pz6XbpHjqFd+EIq76ldixFPZfEaoTxnoINj+0PclVdJodlnS/Necnmdj/74D3zzrn3MJz6tjntO1wh2Ss5LRQj2wNv/A17058XWEKbzImGjJsG016xhI1O4AMwYlRMO18rKP4XKUHi61ktvhqnYwn2tHSPLiRddh8nnjJ8rN7614m4fLH5y3Ctg4JTi510W8TJtlEuXw3zqe+3V8JavQ2ig+ES4TNjIbzgvMpTRPpwB1funnTixVBafcUzcwU5627zc7zwNgPTe0unFz4xGuf6hQ3zhlmfQdb3ka4kplZcxTRin01nlf0ELEzQS7uNj6ppYh4h4WQ0eU7xYwkbW0IQpXqwxRKH6uLzgUHNVSlrOp8uIl7lpy/uZhV+//TPw9P+o91tWZmULC/F2Fqf9cuZfwMlvKn7euQ3CG8DpVe3+Z4fL/gzdSMp9eNLFo4dm1I2sIF6Wdl58eXWOar72tf8jhPVhdF1u05LE5uYI5NX56GnrQtM08u1bAdDnHctIUuXAJNI5xmOl7QxSs2rfWYcc16pinme5dOVmxlUYES+roVzYyCpezIuwtJSvLZpWdElM1wTKOy9zSzgvf/gh3PEZ9f7Vn4VjLqjsOluIUFsbX8z8ET9yXKScF6t46dqmmjx2blGfW8OtJrpO3rCsP/jzYV5/7e/4yI8eIRdYmXjx59U56vCJe2YbFuGYjEzRhjomvrYOADq7VdhHm3dzjCaLTtyBydL8wnTEmCjt7Kj0agUrbj+YIdc6DR2JeFkNKw0bSbJu7THDA1bxUi7npSRsNFP6tSd+rl7P+RCcfWklV9dytPvd/FvuzfxD+j3gcKow0Qsugf5TYMioNCpUNJQpe07O4tTVTaytqx+XQ+Pnjxzhaw8Z59sy4iWgq5uewy9P6LbhdBHX1DUzExkniGoj4TcSefv6VP6SNxMpCU1Ek8Xqo/0TpZWd+ZhMlK4ZZrl0nVYcSWLGaigbNrI8NZhxeBEvtafgvFjCRqt1XiKH1evW8yq7thakPaDCeOlsnvd/9wGjveNfQBD4oeqJ9JcTDnYBudgE87MXstExXEBU9/PN953Hc2MxPvCDB7njiMYHPCyb8xJEnaMuES+2knCECOYSpCeLybfBkBIvGwZUUreTnKoQNFpRWJ2Xg1PzKjsNoZv0yFDGqhPsVTmEdVpxJOJlNZhhI6vbUu4GKeKl9phJu5FDxW3lOiFbnZf5OS9mk6bwEML6CHlddAbcTCcy3PpkeaFxnsvDLhccOTLMpnlfGx05zEZUYubGDj+bugL86Yu3ccsdRmh2Keclm8KLenp3BUS82MmcMwS5o+Qm9wMQ170E/Cqs3t/dRUZ34taM9gWGeImliuJl/7ywkUMmSteOQk8lcV4an0KH3UUSdk2kTLr2lOvnUTZh1yJecik1i8rtU3OOzCcMES/rRtM0fvgX5/DAgalF98n+bzekIVcmpn50ZJiNQMLdicOhfJv+kJdxvUPtkJotHrv5WM5Jd0Cqjewk5QpBGlwRFVKPaUGCRjluf7ufWYL0ECE3N4PT6MgbsYSNDkyWPoC4Ukq85PwylLHq1HmvFxEvq6HQYXcZ8SLOS+0pV9Zc7tgk5t1MkzPgHij2h3F6QKbVVoQTBkKcMLB4wuwP7++DCSA+ueBr0+NHgNKbVE/IS4QAadx4yKhYfMfmBd+rJ2fRUE/5Pq933f8OYe2k3cr58seVIxrXgoWvdQc9DOsBerQIkalxOo3WQEsl7HqNidL5QE81ly2AJSetPsWLJOyuhoJ4sTzRl0sKFfFSe8r181jOeYFi3osZMgoNFhs1CVVFN25AruRC8ZKYVmLSGeorbOtt8wIa01qH2rCInZ1JqGMaJYDXJZc4O8l6lXjpSKvzK+EojmtwOR3EnUrczk4Xk7at4mV2LsNMIl343JworclE6epj9nrZ/zv4t11w40ftXc885MxeDSsOG0mpdM0p67ws0+cFiuLFTNYNb6jsuoRFcbSpi6MnPb3ga9moEiaBzuL8mp6QclGO5o08lkXFy4z6su7H65JGZnaS86hj1ZdTYjTpLD1P0y71eXzWKl5KZx1Z814KE6VFvFQfM2w08Yyq4vzDj+xdzzwkbLQaJGxUv5QTL+Wcl4Rxo9QcoOeLSbsRM1l3cOH3CFXBHVYXR/Np2iSZyeFOToETOnuL+Ue9VvHiRPWHKdMlOTerEoSjBHA7xUWzE91oVBc2qr9MsWKS9YQhA3PR4t9ALFnacfnAZJzThr8HD34Hvz4HgLddhjJWnc6txhsN0FWUITlb0r/HTkS8rIZyYSOpNqoPyiXsLlUq3b5R9eUpOC8qx0KSdWuHr109PQdzETUw06FckufHY3ShWhC0dRXFZMjrwuNyMK4bF8+b/059zMP8S0hofjQJAdqK5i/tx5Jxl4oX3dcOccjEiuFcM2y0ocPP4Zk5Jo7sh/v+Xn0/Ln6aPY9t7ZKXVnUGXgBv/bbqiP3dN6j8wNlDdSNeJGy0GpYKG2mW/0oRL7XHKl7MhNv5+UiZZPHYmbN1zEZ1UUO8hES81Ipgh3JeHOgl4bxnj0bp1pR40YLFxExN0+ht8/Kb/OnknUsn4mZ1B3dpZ1Rh1cJqcAQ7Sj7PeUofMhyGuMlZjn80mcFDhpMHldBJHt2jvtC+iVc4v8kV2fcT9rmrt2hBoWmqM/bQadBuNDOYPWzrkqyI87IaCs5LmQ675pM8SKm0HVjDRl3HQGJyofNiui6aUx0vKIoXcV5qTmcoyIwepEOLq+ZjhlB5ZjTGSwzxUug1YdAT8vLrmV385k0P84oTy+c9PDkyy+u/fDddoSB/W9V/gbAcrmBpP5b8PIfUbYqbuWL4L5+M8DvvXxOf2cktfIjMhGpwlwhtZWTSA+QJ++XWVVPaN8DRx0r7aNmMOC+roWzOi3GRNZ/kQZwXO7BWG5nHIp+BbLFSoVAm7e8sDI1bmPMi4qVWdAY8TOrquOnxcXJ5nW/etY/v3bO3EDaaL1562zwAjMVz4PKU/UjqLrK48Lrl8mY3nrZ54R3zvDM/DamvO9PqeOfzOoOZg/RqETbP/B4PGbRZ9VD48/1u0tk8ACFxXmqL+bA3K+KlMTHFSyZenMVhho1EvNjLfOfFxJqfZDovgS7wd6j3yVnI54thIxEvNaMr6GEKddzSkXE+d/PT/NP/PIknPYtTM86veT13zKTdiXnThq2kMuoGJ5VG9uNpK3VeNH+p8xJsV1/3ZJR4iaeztKPOWYee4/WbUhzjUn1GxlwDhH0uLn7BIGGfOC81xazCNMNGT/wcxp9R106bkL+A1WDmvOSzalS4y1sMTYh4sRereAkPqXL1bFKJy4BxAS04L13FJ8DkLCQm1DFFgzapYqgVAY+TGVTyX2LmKP/7tBIqH31xNzyIOkbO0ifsnjYlXsajS4iXbA5AerzUAYF5ibUu86HBINypnLVAPkYmlyeazBKmGJb/wkv9cE8GhuGyP3oll+18VdXXLJTBzHmJHFYh3p+8R33+d8Ple2zVADm7V4On2B2ykPdSznmRnJfa47VkwAf7ys+hsjovBfEyU+zx0ta/4GYpVA9N04i7OgBIzY4xbAzhe8UW47IUXJjTYoqXJZ2XrOm8yOXNboLhLvJ6seLLFSytPgq1qzynsBZnIpYimszSoVnO2YlnYXq/et+5pdrLFRaj3XRehuHII+p99/G2CReosnj5l3/5F84991wCgQAdHR0r+h5d17nyyisZGhrC7/dz4YUX8sQTT1RzmSvH6Vbt40FVreSykFV9B8R5sRlvsXMnbX3Fz61Ju2ZFg7+rWO6XnJV8FxtJetTNLDo1Siqbx6FBj2Y8EAQXtoA3w0ZLOy8SNqoXAl43EQKFz93zxIsj0AGoPjBHIymiyQwdFueF0UchZozu6Nha5dUKi2KGjSJH4PCD6v3Q6fathyqLl3Q6zVvf+lY+8IEPrPh7Pve5z3H11Vdz7bXXcv/99zMwMMArX/lKotEyzeDswAwdpeOlpbiFhj6UHxYnVBeXV+VHaA5lcXqMMJL1GJlho0BnMedlbsbSXVfES63JeNXNbG5GNZYbbPfjmjO6rZYRLytxXpIZI2wkCbu2o2kaUYoPFr5QqXgxHdCQNsfYTIxoKku7ZhEve29Xr55QMfwr1J7wEKCpdInnblXbmlm8fPrTn+YjH/kIp5xyyor213Wda665hk9+8pO8+c1vZufOnXznO98hkUjwH//xH9Vc6sqxlkubISOnV7ktfuPkkrCRPbztP+HtP4S23tU5L1FxXuzCHLyox5Vg2dTlVzF1KBs2Kibsphd8zeTe59WspM1dgUX3EWpHzDLPKBCeL16K4d7pqYmFYSOziWTnFpk5ZidON4SMyZmH7levzSxeVsu+ffsYHR1l9+7dhW1er5cLLriAu+++u+z3pFIpIpFIyUdVKREvxklmJotuO1/lXvSeUN01COXZfBZsNxL6ynVDLimVtogXs/wvJKMBao3ZhM6bVsdmc1dAJVDDIjkvKmwbS2U5Gkny5dueK3Fh4qksNz+hwgxvOE3mVNUD5jDGhO6lLRAs/aLTRcqhHvai0xNEk5lCtVEJVmdbsAezXBqUwz2wMlOiWtRVtdHoqLro9PeXVnz09/dz4MCBst9z1VVX8elPf7rqaytg7bKbMvJfTPHy1m+rChfJebEfTznnpUzCLjo8e7N627ejVqsTDJzG8Lcuovz/nNfz4Sf+G3RjMF9gYdiozevC63KQyub58H8+zH37pnh6NMq/vV09Bf7qiVES6RxbuwO8cHNHrf4ZwhLMucKQgwgB2sqUOKfdYbypOeKRSbKd29huDRuZdEiyru2ENwCG69JzQmmeoQ2s2nm58sor0TRtyY8HHnhgXYuaP49E1/VFZ5RcccUVzM7OFj6Gh4fX9buXpVDFYgkbmQdR00S41AveedVG8Uk48rB6332cyksyW8wnZ1Wl0XGvqP06WxxvuxIv3czyQdd/4dLTgK4S4zeduWB/TdMKoaP79ikx+qsnRplNKMHzs4dU/tKbX7hR5hrVCSmXqkiJ6AEC7oVJ1ObIgGR0qjRh19qNV5wX+7E6LzaHjGANzsuHPvQh3va2ty25z9atW9e0mIEBFVMbHR1lcLBo4Y+NjS1wY0y8Xi9e79JzTiqKx5Kwa14cyw0FFOylkLBriJdHf6iSzQZPhf6T1TZ/B8RUoiin/4mUSduAv0Od105Nx0mWaP+ZhN75HeVmlpsUjkraPTQ9V/g8nc3zi0eP8IodffzueRVyetPpEjKqFzJudX2Ma204HGUEpb8DopCOTZG15rxsPAOe/416L2XS9tPo4qWnp4eenoV2biXYtm0bAwMD3HrrrZx+uvrPSafT3HHHHXz2s5+tyu9cNSXDGY0uoB577TOhDNaEXV2HB7+jPn/he4r7+NoN8aKVbhdqRkeojajuJ6QpMZI772+WTZw2nReA87f3cuez4/z4/mHueGYcXYczt3axSZJ164asx2hE6AyW/bq3rQvGlPMyE0sVm9RtOssiXrbWYKXCkoQtDwR1IF6qmrB78OBBHnnkEQ4ePEgul+ORRx7hkUceIRYr5iGceOKJ3HDDDYCyhC+77DL+9V//lRtuuIHHH3+c9773vQQCAd7xjndUc6krp2zYqPwTomAj1iZ1B++FiWeU8DzlrcV9zLyX414uT3Y20Rl0M6Wr8+cP+nG0n7R86M4sl97e38YX33oqLofGY4dn+fVTR/G4HPztRZIwX09MtO8kr2s85y5/XHwhVaXZpsd58sAoXi2rvrDxRcWdOjZXe5nCcpjOi+aEgZ32roUqJ+z+4z/+I9/5zncKn5tuym233caFF14IwDPPPMPsbHGi6Mc//nHm5ub44Ac/yPT0NGeddRa33HILoVCdCARr2ChnJBaKeKk/Cs5LFB4y/gZ3vrm0I+TQaXD4ATjnr2q+PEHRFfTwB30Lm/RxfhR8J6c6ln+euvgFg/zuuQn+/rUn0Rvy8rIT+7jlyaM4NPjS205n1xbpB1JPTPScyWmPfY3j+oYo529qxkNEuxYnGZkEH+Q1N47N56hE3a5jJJewHhg4BY7fDX0n1cXxqKp4+fa3v823v/3tJffRzQGHBpqmceWVV3LllVdWb2HrwRo2yibVe5uzroUymDkvqSgcMMrsT3tn6T67/wVefFmx9bVQczoDHv4m85d8UXsrm7e9cEXf8+Ljerjz4y8tfP7hlx3PgckE7z//GF69c6BaSxXWSNDrIkKQNr+n/A5Gw8gw8UKDuqy3HY8nAH/9sCrLFezH6YZ3/sTuVRSoq1LphsAajjBPKknYrT/MPi9Hn1Al0k4PbDijdB+XR4SLzfjcTrLuEHsyAV68xjyVUza286uPnF/hlQmVYrBddRwfDC/SedzoudSuxQvJujlzVplDRjwI5RHxsloKYSNLwq6EjeoP0w0zG54NvECJFaHu6Ap6ODwzJ0m2TcprThlE0+DcYxcp9DDCRmESxQZ1/s7y+wqCgYiX1WING+WNxDKpNqo/PPME5cYzyu8n2M5Au4/DM3Mc01u+GkVobDwux9Ldjg3npUMrho00ES/CMoh4WS3WsFHOEC/ivNQf8/OQ5oeMhLrh068/mXv3TnL+8QvHAQgtgNFleaNzmo6ccl6cQREvwtKIeFkt1rBR1pipIgm79cd8N2zDypJBhdqzc0M7Oze0L7+j0Jz0nghAtz7FNk2NiHEFpWJMWBpJ414tZiJoJgEpYwikJOzWH1ZB6e9S5ZaCINQf3jbo3AbA2Y4nAdD8Il6EpRHxslrclmnFBfEiYaO6w+q8bNhVHOUgCEL9YTQ92+YwxnUY5dOCsBgiXlaLGTaaGYa5aTXcb5l25oINOJzF5OoNu+xdiyAIS9M/r2OrJOwKyyDiZbWYYSOzTPrUtxWy5YU6w3RfpNJIEOobc1iqiYgXYRkkYXe1uOeVc579QXvWISzP2R+A4ftg63l2r0QQhKWY77yYc8cEYRFEvKwWj6WR1nGvgL4T7VuLsDTnXW73CgRBWAkdW5RTmpYmdcLKkLDRanEHVKt5kIF+giAIlcDhKA0dScKusAzivKwWTYOL/y/Ex+GYly6/vyAIgrA8/SfD8O/VewkbCcsg4mUtnP4ndq9AEAShuTCdF28YnHJrEpZGwkaCIAiC/QwZXbBDg/auQ2gIRN4KgiAI9rPhhfDGr0LvCXavRGgARLwIgiAI9cFp77B7BUKDIGEjQRAEQRAaChEvgiAIgiA0FCJeBEEQBEFoKES8CIIgCILQUIh4EQRBEAShoRDxIgiCIAhCQyHiRRAEQRCEhkLEiyAIgiAIDYWIF0EQBEEQGgoRL4IgCIIgNBQiXgRBEARBaChEvAiCIAiC0FCIeBEEQRAEoaFouqnSuq4DEIlEbF6JIAiCIAgrxbxvm/fxpWg68RKNRgHYtGmTzSsRBEEQBGG1RKNR2tvbl9xH01cicRqIfD7PkSNHCIVCaJpW0Z8diUTYtGkTw8PDhMPhiv5sYe3IcalP5LjUJ3Jc6hM5LspxiUajDA0N4XAsndXSdM6Lw+Fg48aNVf0d4XC4Zf+46hk5LvWJHJf6RI5LfdLqx2U5x8VEEnYFQRAEQWgoRLwIgiAIgtBQiHhZBV6vl0996lN4vV67lyJYkONSn8hxqU/kuNQnclxWR9Ml7AqCIAiC0NyI8yIIgiAIQkMh4kUQBEEQhIZCxIsgCIIgCA2FiBdBEARBEBoKES8r5Ctf+Qrbtm3D5/Oxa9cufvvb39q9pJbiyiuvRNO0ko+BgYHC13Vd58orr2RoaAi/38+FF17IE088YeOKm5M777yT173udQwNDaFpGj//+c9Lvr6S45BKpfjwhz9MT08PwWCQ17/+9Rw6dKiG/4rmY7nj8t73vnfB+XP22WeX7CPHpfJcddVVvOhFLyIUCtHX18cb3/hGnnnmmZJ95JxZGyJeVsCPfvQjLrvsMj75yU/y8MMPc95553HRRRdx8OBBu5fWUpx88smMjIwUPh577LHC1z73uc9x9dVXc+2113L//fczMDDAK1/5ysKsK6EyxONxTj31VK699tqyX1/Jcbjsssu44YYb+OEPf8hdd91FLBbj4osvJpfL1eqf0XQsd1wAXv3qV5ecPzfddFPJ1+W4VJ477riDv/qrv+Lee+/l1ltvJZvNsnv3buLxeGEfOWfWiC4sy5lnnqlfeumlJdtOPPFE/e/+7u9sWlHr8alPfUo/9dRTy34tn8/rAwMD+mc+85nCtmQyqbe3t+vXXXddjVbYegD6DTfcUPh8JcdhZmZGd7vd+g9/+MPCPocPH9YdDod+880312ztzcz846Lruv6e97xHf8Mb3rDo98hxqQ1jY2M6oN9xxx26rss5sx7EeVmGdDrNgw8+yO7du0u27969m7vvvtumVbUme/bsYWhoiG3btvG2t72NvXv3ArBv3z5GR0dLjpHX6+WCCy6QY1RDVnIcHnzwQTKZTMk+Q0ND7Ny5U45Vlbn99tvp6+tj+/btvP/972dsbKzwNTkutWF2dhaArq4uQM6Z9SDiZRkmJibI5XL09/eXbO/v72d0dNSmVbUeZ511Ft/97nf51a9+xb//+78zOjrKueeey+TkZOE4yDGyl5Uch9HRUTweD52dnYvuI1Seiy66iB/84Af85je/4Ytf/CL3338/L3vZy0ilUoAcl1qg6zqXX345L3nJS9i5cycg58x6aLqp0tVC07SSz3VdX7BNqB4XXXRR4f0pp5zCOeecw7HHHst3vvOdQuKhHKP6YC3HQY5VdbnkkksK73fu3MkZZ5zBli1buPHGG3nzm9+86PfJcakcH/rQh3j00Ue56667FnxNzpnVI87LMvT09OB0Ohco3LGxsQVqWagdwWCQU045hT179hSqjuQY2ctKjsPAwADpdJrp6elF9xGqz+DgIFu2bGHPnj2AHJdq8+EPf5hf/OIX3HbbbWzcuLGwXc6ZtSPiZRk8Hg+7du3i1ltvLdl+6623cu6559q0KiGVSvHUU08xODjItm3bGBgYKDlG6XSaO+64Q45RDVnJcdi1axdut7tkn5GRER5//HE5VjVkcnKS4eFhBgcHATku1ULXdT70oQ/xs5/9jN/85jds27at5OtyzqwD21KFG4gf/vCHutvt1r/xjW/oTz75pH7ZZZfpwWBQ379/v91Laxk++tGP6rfffru+d+9e/d5779UvvvhiPRQKFY7BZz7zGb29vV3/2c9+pj/22GP629/+dn1wcFCPRCI2r7y5iEaj+sMPP6w//PDDOqBfffXV+sMPP6wfOHBA1/WVHYdLL71U37hxo/7rX/9af+ihh/SXvexl+qmnnqpns1m7/lkNz1LHJRqN6h/96Ef1u+++W9+3b59+22236eecc46+YcMGOS5V5gMf+IDe3t6u33777frIyEjhI5FIFPaRc2ZtiHhZIV/+8pf1LVu26B6PR3/hC19YKHUTasMll1yiDw4O6m63Wx8aGtLf/OY360888UTh6/l8Xv/Upz6lDwwM6F6vVz///PP1xx57zMYVNye33XabDiz4eM973qPr+sqOw9zcnP6hD31I7+rq0v1+v37xxRfrBw8etOFf0zwsdVwSiYS+e/duvbe3V3e73frmzZv197znPQv+z+W4VJ5yxwTQv/WtbxX2kXNmbWi6ruu1dnsEQRAEQRDWiuS8CIIgCILQUIh4EQRBEAShoRDxIgiCIAhCQyHiRRAEQRCEhkLEiyAIgiAIDYWIF0EQBEEQGgoRL4IgCIIgNBQiXgRBEARBaChEvAiCIAiC0FCIeBEEQRAEoaEQ8SIIgiAIQkMh4kUQBEEQhIbi/w86lDTbKeVeigAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x[ii])\n", "plt.plot(y[jj])" ] }, { "cell_type": "markdown", "id": "1851d253", "metadata": {}, "source": [ "### Verify the total cost" ] }, { "cell_type": "code", "execution_count": 9, "id": "5224db85", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7.152380923019677\n", "7.152381420135498\n" ] } ], "source": [ "warped_cost = np.sum(np.square(x[ii] - y[jj])) ** 0.5\n", "print(warped_cost)\n", "print(cdtw.dtw_dist(x, y))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.16" } }, "nbformat": 4, "nbformat_minor": 5 }