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    "# Image Augmentation\n",
    ":label:`sec_image_augmentation`\n",
    "\n",
    "In :numref:`sec_alexnet`, \n",
    "we mentioned that large datasets \n",
    "are a prerequisite\n",
    "for the success of\n",
    "deep neural networks\n",
    "in various applications.\n",
    "*Image augmentation* \n",
    "generates similar but distinct training examples\n",
    "after a series of random changes to the training images, thereby expanding the size of the training set.\n",
    "Alternatively,\n",
    "image augmentation can be motivated\n",
    "by the fact that \n",
    "random tweaks of training examples \n",
    "allow models to less rely on\n",
    "certain attributes, thereby improving their generalization ability.\n",
    "For example, we can crop an image in different ways to make the object of interest appear in different positions, thereby reducing the dependence of a model on the position of the object. \n",
    "We can also adjust factors such as brightness and color to reduce a model's sensitivity to color.\n",
    "It is probably true\n",
    "that image augmentation was indispensable\n",
    "for the success of AlexNet at that time.\n",
    "In this section we will discuss this widely used technique in computer vision.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "origin_pos": 1,
    "tab": [
     "mxnet"
    ]
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   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from mxnet import autograd, gluon, image, init, np, npx\n",
    "from mxnet.gluon import nn\n",
    "from d2l import mxnet as d2l\n",
    "\n",
    "npx.set_np()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 3
   },
   "source": [
    "## Common Image Augmentation Methods\n",
    "\n",
    "In our investigation of common image augmentation methods, we will use the following $400\\times 500$ image an example.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "origin_pos": 4,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [
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abY2p3b+iRNY5JQ+8Q0r9T0TI6PuyxmCXacG5ttKUFTzGgnWnGEaSiJhIjIk0C3JOxQnrA227OuNiUiObq3+IETAnuAiLES3CM3oJxBjI2rhISRgx53oo5QzGkgqkitPFmCiikRTRVC/GYWwg6yXF+6YW4/r7fdvRhhZnPcZ5sIbjcU+KEessuRSOuwfifOR002zjSaIfOBkkGzAWiiISJygsxUyOBbKhZAgu1EqaeiEWMEVxQYG0JAxCjpngW7COtu+wYgjG4WqdHdOJlXJYb0lpZlnmcyesTQZIWmpJAz54nHeaxksm5cjhuMMYwXqHDz2vv7klJsuYF5qhxbtASQnvDBfbNZfbNU2w2uU7RxIh53LG1MU6vLcYW/Ctwzn93iVGHnZ35LRourd6knJOCj4WbZA1ky1KLtVDb4zBOEcR/fXpA3TFYgQSBbssMyUnDEWZihTB6g8saSGniVISJSaMWLIUSly0GfIOa5WlqG0dzjpNx0UqkVtRAIwW1aLUoJGCKQkrRUN9bUwMgmRla5QcsLUTNefuvOSKj4qmSO+VfMgV+227Vj8Aa3DB44N21TFGsNB0rabeeti6pqHkxOHhAXLGOw9Ga6+lJIo1FAuxFBIF14TKSuXKAKWKXmhNLaWQk3b75UQF1odSsv66aRpOf+WSafuAIeMtWvNK0nIFo2zPshBCoB16TfspKrZdI2HTeq32cyblQslQssJb4zxhnSPmRD8MhL47v7YlJcQZutXA+mKLawL5RNuGoLimA0rE1MvhvJZPJ4bJAMu8sCyRlHL9DKBkzYZitHmmFCRpmSWiZA21F7LWaJYyWiMaZ8+HuZSCL1mxrmkaicuMA+bjASkzh8O9Yng2aK3iKl2KIMtSGyj9X3CexZzwSKMFsjGKvYnio1itOSyV05cT4A8YOT9QqOHe2g+/jz93w1L0ASpa5fDWkWNiWiJ9O9A0DcuykJaIxeCs08NXSo2yKqrITpGHVApD1xHnhTgvysJIYZ5nmqanbRuM0YaT+vNObJxCb1rXWmuIMVIslJRJKVJK0QdulXky1p3ru5w19YsIh8OBVLTOdc6dUREQLSFyZrPZ4JuWmCeEwjLO+KB1cdN0GsWXyHEaGaeRvmnIFfYLbcs4jdw8vuH23R1UggRjtHlqPH034Kwjx0gILd45sI5iLNk7haOco/ENUiAuEbAs88gyT/reS3221mClUEql3K3TqJoTRqgYJTjvtFfJBeNUiyAn1s8YDWDe4/f7I33XklJmPI6sfMt0nBiPd/zbP/9vOdzvePHxt/jO7/wOw2qNdRBzpCuZgjY6Xdcx9D151iJeOznzQTUFmCJKZRZq162NlRF9GM6YCn9Qi/DTkRWt16xTnYBxFeoA7wIfApmh7VpWw0DbKsUpoCn0dCubgGscyzIxxxkr4K2ja1r6YUByIcZI4x2SMiUmXKclhhHB5FKBaKUVD6OKOYoUgm+0lpSiDMtJHoSWCTFG5nlmWK0JoaGUhZwVwUgxkmOsUWmBXGpspjYjmdA0DKuVZojoz6jCMKzphoHgG2IuTNNca+5EkYCV0wM33Fxf0jhPWSKSMrYJ2hgBQ9sTfGCeZ828Urty52qdrohAcJrptCHSoBGnGUlRoU3JxCo8MlSmUIHTmiX0687qAeWMHVMbztpgFqkCl4JxDm8opKiF/fGwx3rPMo8cd3vGhz3j7oGf/du/4Nef/4L10HP56BEvPvk23rc0bUuOiRACfdezN7tai+phdMaSJdfUr8IJ7xtSSVqb4jAV2FcIRo+ls5acI3C6UTW6Uv9ZO/0UM87mStEqUOz8h65bRPDen6Oy1uCFmBYkZ63FjSEuC8IKcRZqykkxMo8T6+2lFva1rDC1gEo5cZxGxCod7KGyWZr6NcUrm9c0zRmfXK1WhOA5HkfFa51SsnFK5GIQow+PfKrrMk3TsN5s6QdtXHcPO8ZREQfvA6EJtI3nuNsp2F6Eximl6W0F75uWoe857g8sOWkEEw0oLgTwjrfvb9luFW70PkCBHAsFSzEOrMe4QBHomrbKBSPHw555WhTePHVDNeOUlPXrRqNpqfCj9/6MnuSSNZKXDKfLjkJ4J4jTx/lAs16Tc2I8PAAJMbUhqE2byYV0HHkYj9zd3fH+3Xv+VtNy8+QZSTSsN22rD6qo+iXHyFlUYwwZOTXtenMqxKEXxyk8JRmwSOWBrXXnQyml6A1EmxYciNPGyxhHTonglDXKNRqGU6FujLI/Ti9PiQVr9DUbU29uyjhvsRacgXkZSUXxVzGGWDIp53qBCrvDgTkru3QiLHBWFU0IkhbyojhqLoWYk+pp2xZXSY4UE9Y1lFxYJEEF1xHNBClncolstgOroWU1dBQs+7s7SlKhy3q1pm06xhg5Hg4EB84ItnFgDW3jWA09fd8RgmKv03jEWUMbPHgPBu7v7nHO8frNW0xJXFxcIkXIMaqUxFlc48FZvDf0Q4d3XhVSAkteiCWRBZzUIFUKuSQlOYyBLFis1vgoBWuMUUTInJhJtNQQZQpFwwl+mWesC8zzxDwvHA5HNpeXNMHz9NkzfvFwp1ywFIWAEO5v3/GXf/5n/LU/+BusLi7o+l5TpxEomrZU+lVPOlXmVfFOZ11NAafc+OF7FbIAh6+XReEnPVA1JZSEMao/ELTe9MGfu/FSywFbO1IfFE5ruq6eJ3cGrJsQkALTNGGDxVuHkcI0jnqJipYDaZ6hJOKy8PbtWw7jkXEckZTJS4RSGA9HnHOkJRLnmXlZAIjLgrOWtmnPkaKUhDWqBHNWO15VUjWkZVFZ3zTRBMvQBx49vgQjjIeJkjLzMtP4QOhaFagsiek4ITnThgax+v6btqHtOpo2sD/sub19S1wm/Z5i9LWayHQYwVhCE3BieHg4aIDJMxQhWEPrDMHDdrsmxUjoWlJSRZSzDcYkRRjsB/iplKK0fFEGtGkajczmt9rPip+KgKRcdcQZozAu3lm8AZrQ0XU9mMxud+D1q29q+PWsN6rmRwq5FGwsmFL4+otfs7u75fs//BHf/sH3aIdeQ70ISD7rCWvO1Waq0rHmhLHWWshUIchJgEJluTCnRPsBQThFYAGcFbxXbj5nw6kxBNEIamCZJwywGgbEOMVEpXz4QK2jlIRz2smCCkMQNCrkyBIjSYQ5Lnzz5jVGVAOhDUDVVO73HONCO3Ra/hQhYFlyYnCe1gf6oUecZYmRaR6Vy3cWSYL1lr5Xlf4uLizzTEwLQ7+m71akXJQSjoumbikqv3OOmCLTuKiEMSndPS/Tuf4OXUNBuH33jsPDA00TtONGhTZZctVKWEzwxLgwL5Mq/huHsRD6nq5fsVqt6fuGQ96Tkk5SaFabCF4bVlWXxRoUDKVG0lLFPlirVFClzXM9JwKV9DGQqUymI4seVjDaaKSUaJvAZrtlOk7ElLi6ecz+sCOnBWsFiqEkEJM47m75t//tn5FLoq0fcjRLLRlcBfbRWkiJe414Z+aicvqmAvz1n0ihYLCnxslarV8EXFHllLNCcA7vAs5YnDE6aiGCM5CMQhy1EmVeIk2nCMGpjj4JK87/PHHRRWhC0I6+GOI8KdZTLLEkhc+oTYDTGiouCykljsdDlQ8aGuPwTSDGBXvSGJRyFtGUkhXgt+bcwCzLxDgemacRoRC6htD2BN+xxIVlPLLMszYkwZNTwkS9+N463LBimmfKWPCtxzq9yOM48frrV5CFtu/AwrzMSG3oSs5YU1jmowYUEaa0YCdtHMHCaoVzjtvbHWlZcC5q5DOlxhFN4SVn4rxgfG2UqWxgVgGKR36LAJDzZ3+Orqes67S3ccbhnfGUkknZchxHrFjaJmCNYV4W1punjNOOb15+hTMOsdqdi1hSLqQy8Rd/9mdcXl2euzdnqlJGqDyvhnJEVTEiUkcyVOScJasAgQ9Kq0oi1ghbcMYoxgZIMVjjVfWvPb0yXqIzWDGdakdR8UgVv/gqwTNGdZ+qp4QkENqGUjLOOeZ5Ji4L1nrmZWacRn2oBfSu2g9jE1kFGKW+TqmdrzGGhBBjJJdCe9hTKhwzzzN39/dMhwNZBBc8XdMwHqqyalkoJeukwGpF6EJVaS2KBZdCEwJD36u2QSt71usBaxzLMqMaDhhWAwb44vNfkZaZzXrNerPhfr+jJh+kFIwYjVrKceplriIVkwrzODLvd+QXz2m7jmHoOB4nliUyjRMpKTITgud42OO8A28V8K+og/eOUhPtB90cVEwL6zwmKzqUjWBDwFayyB/HkU3fY23A2RZJkRwz1ihmGnzDt779XVb9ii8//5wlLvWAWUDV/VKEu9tbHZtwSpMaFONMZ+pNg3vOpab5UqG0kyrfnrvF/FvMln5e5nzrrFORcy75VOFUdRK4oGnQhkZB65pOUlL1Uira8cdlPmOIQqFtAs5aUlpYYlTIaFH6clrec9gfkKxAd0oFydrsGaswmo7W6NUyRnFAQQXDAPM88fLVK3wtM/S1a8lwXBZ2+z2tD2y2FzQhkHOkCQ0ihb7radqO6Xhkmqbz4/XO01ivgukmKL4ZPONxpuTMMPR0Q49vOt68fM3u7paL7ZrtxaUC6ymp6KWA5EzwOgJkpN46g8ojajObS2FZIi+/+Jp+PfDi4+es1z3jUQXnS9RnOMcFnMXaUMs6B1b5euMrGWS0IXbOUSoD51ANajE63mOlILaQMCAG++rlF4y7XRWauMphJ2Kczmp75wMvPvsW3/+DP8BWJXcRZUVMziqQpZCksBRDFGVy0nkGxp2pPzFZwX0NQMoQcZLcKU6KcRW/03ZJm61Taq4HrOgAWA0KtFX0fZL6FRQ2SlXAUlAYxlijqbdU5kc08khSeKVIxjcBjDCVmcM4ssyL4plRlVBKq2rUsbYKTkrtXit2eBrbMUCJCYnaiKUlKUaclNGRLIz7ifvbB15++TXv374jzrlCeYHQtuRSFfH1vS0n6M6oLqHrOy6ur2j6TjHUlGibBhsalinx8jdf0wTH1fU1q/XFhx6XpP2BsfX1Cpx0uZIpKAZtvUqCsEIuiXG/4/7+jixRpxSWEUT7gzRFJAmabArWeYqAa8K57nfI/1+qz/X5g9OavyRFL4zO4Pl5OvD1F7+kSGS1vsA6Ty5aQxQsOVeBcio8ffaU3f4zfvWzn9f6SrQROA1vOaf60yYAUvWFOnt1Gu6zVbvmvFdOWtKZtxdRDltEI5QyPnwQNWuGqDNGH+R8xik8ZTRrYK0jGv215KyRxWttWjLkLOSUVRfgQqUTM2JMjawJMTAeJv13ESTXCSBjKIUabvQDNVaHDFVoc1LmglhbS4H6NRHqI1dUwhqM0cuifHri/i4zz4sKY9oOwXD/8ICRgqREyRnvDBlDNvq6V8HTdC0PtyPTcTxni5KE2917Ypq4uNrqrJck5mXWqdcK++WSPrCEVa12ehclJSSfSjV93VIM79++10ZuyYzTUbHRZq2qqIq4eF8HNvHklDUDVZjV5VLRDs6lmT3NSVXIUE69DBlfpDBOB774/Of03YqPPvs2Yb09C5EBsmRNxVn49NlHvP36Ffvd/Rn8PuNkUjAO4gym6jKlNuy5gDiLd20FxLWJ0OFHV8XEWV/cqeoSHbgzVqcqtVQoOhcuBVNZopMAl5zJudA0WraUkmiq7M45LY5MxWdPf1nryEl1tCIFyaLzXRh8CKQlKlxSeXepabHkUpEJyHlSJMOcZn00SkllVk7drZ7zojNopZwvsDJUUomKyDhqU5VS5Ne//BVN37LdDKoTXlTp1YZA13X0Q4/znnkaebi9I84jXdeQSqHznvfHA95Zrq9v6PuBu4c7Dvt7baK0IsKempoaVX/rqulnUfK5mcVYMhCnzMO7O7IIyzJ/0HtQIUh3QgAMwQcleaiQlRSsD7WhUiW/Ntm1l8laMkiBnHXC14Mnlgwlsl/u+PwXP+Hp849ZbS61a7SOJc4q+ZMj3lmef/SCl79JTONch+5OD77gVKtGTvk8WmAB6x3FVRMAU1NsTemno+mqoPmkvinlVNPaKlKprE+pCnJ7GiExaGBSJEAHCBVBMEBcVOGPo4otPCl6AELwlRkxjMeRlDLOWrqux/uWsmRiHhFUlV8qnaoltSrypRSy6CgKYhEsuQje1OG2nOsgW63TU66vTi9AEcGfonmMCvZXVdk8RriHw11gWPWIUXG5957VasAHRyqJh7t73r97p+MfKarMUgpxnLh5dMP28lJfZ0zEJWJrj5BSqri3qbWzNrO5RlaLqyyiRsJcFNorBcbDiFKjhSKNzpSh0j2D1CkGcKFVUcqphBNbr72q90vRDlpMxtZ5uRPxU3LREX5TBLEqwTJViPH1l1/w/AVcPxswPtDZFYfdfeW1Lf0w8Nl3v8P71+/45vUrMFYPhSgUUSSr6tyAo0H10oJzNb3XqKbiFUWuHOb8AdnTB1OLvFNDdaJUzYl7LxqqCwZT8nm05MSqAeScGLqV/kxz0sOqL4EqHgshuHqYtGMvRVSp1Hr2d/dMKWt6rI2irSqxjCjkJsq22dpM5dpFl5zPkfT0oBVnNlW6eyJBSr0IGoG1rrekmOq4rhCPe/Z3dzR9R+haejtQgFevXjHPM8fdgek40zeBtCysthcsy0zbtjx58oS+79ntHkhZW7xUTsC65vxTtX+K/ies+VQTiCQMrlLZGn1TLkiJeK86jJxTLWdA6gSFKVDirPS0NfiqIEOMMnnB6WxZnf5w1kFG6WQ5lSIZv7664Pbujij64bgMlIWvX36B7RuebXuccxqeMTRtQ1xappJ58vELdscdyzjirSqexDiWXGNFySCJ4LVmldrkkAvFOpIxWOsRqyml1A4vlYKzuT5IdDLU2LOBgdQDnVPB2lJJAG38YsnKaalGjBiT/gAc3gdizkg9aMG3Wpc6FVwX0drcOGjbhrZtmK+3HI8PmFKgmFo/qVBb4HwYBaU9nfN1mj1DURLwpDJzqEY2m6Kq9jq5UHKu5IZK72ylltWppWolUq41YSSmzDQuvPnmHU0IpGUm1XGbe2vZXF0wOH3I109u6NcrJAuHhx3zYTy/+ILCZdr5a2o+i4g0KddLKBR0ogDRWXxbByipl/VkYOKcwkwiYJ0K8W09uJINpV5ka5x+PlKUfLA60pgN5IqBW6MEjCD4zfaC4zSxTPN5pqiYQokzX/zyF6Rl4cXHn9B0DWQ1XxhWhSVNOJP57KMnMB74zmef8OKz74Dz/Kt/9S/58S9/zRjVyAFQrrhK3PRGFk6iEE3rqsssxmJ9qOlDMdFg3LmGc6cCXaSiEwLWkXNUFqQ2LqkkPdRW0QPvtaCnpqac9GvqWZDPeKSUgmsa+uob1XQtxhkkCqbO/AhUQbTCZEpS6H+biOQaMb0xH6J8/V4MGKt/prFUVEMjudRoS8V5qQdXf37WzJJVcZZzJueZFPQgpJQoSdGA0AaW1Yq272nXHcZbdvc77h/uz0YZJwmmc55sVCNaQWtMLccqv8OZuEEzR9t0lJyZ46yYtFGmTpsnDQunUfVTWrT1rZ30uCLaXOkIuqnfVv/8qnloXcNxEoq1+Lgk+nagLKmqWxK2ZqslTnz561+yu7vls+98l9Vqg7XQdA39GGjLgd/5bMMPPvkef+Ov/yH/zn/wP8W2PX/1F/+C/+X/6n/Df/VvfsGxZOaY8MVrcvQ6dpCpU65YjNSDWIpK6byqWdQQo8VZQ8yJk/rVVz3oaQzUWqP4pigWGJeFnCIlq4BZpDAuR0LokSVCVmAfa5iTKph8LX2MCI13+MZr6dKowcJ0PODQhs9bBaF0bCbXyVGj+oOiUfJUJ9sTlXzGk2vErJfCWIevutOcyhknVVFyORMh1mh6lTNAXzA5kSkk6xQ0LwIO9vs9OSW2Fzqzf7Q73r99z26/I6cqgjfmrAOl4piltlA1BJ4vfSmK/BhraVvP0DdM85Fc2UZnFVY0tcQTW9NNbWJtnW5QpKi66JiqlkJHbHRM2hDjTMEQ2o45ThrQCvhHz55y/+49JS4c51E751KwRg2/TCk83N/yy5/9hO9+/4c0zSMChe893vA3vv99/vhv/ZDBJQKZvP+G1cXv8tnTJ/y7v/uMb16+5ov3I3FW07SYFrwJFXsEMVo4lxLxLqjW1CrPnyThcFUv6enaTmeOSqE4S5QCYqt0RT6kE/R255R0kkBDneKeJoEoDOSboGhFKWANy7IoG2WqyLt27NM4kmOVBdZsUGo0xxg9rJzmvupMvhgkpzqB8EF4gVTHkFKqh5eQ62yTcaU2i7V3Lopl2vowxYKxvo5156owA0riNFemfYKhpMg0FpZp4u3bN2cSQpkzZRURqam7NlS1eftQO2v/cOovTn1IaBwxLyxx0e81FhsCiOo5nFdAX0od2MvagJ2GKqFqbCWrgwxV+yECJ61GEcg6fHmSCPrtdsXQt2wu1nz18iWyxKqkmirMoh31uN/x8x//BU8/+ojvPhn447/+Kf/wH/whL370NwlhRbz9GtNos3Hx7Hs8f3TBp5vEdnXBN/eZYxIO88KSIoLTQvrkRVVvG3wYZPNVnGutakuDVoQVp3QfmpbKaDnrOM2c55xVB2tVsXNmjCgqHzN6CJ0xyKIR9bjM2qXW2vr9m7fs9nse7t4zTxOmsm0G9HDXoURvtAnS3FjOKezsAlNrTlMFO6dGpc7banlSTnZJp/dBVYZlrNWSg9oESgZjcv3v9DsFNXhz1uLFntGRjCAnHFhq/XgiKPgwKmLFnGnU85us1PbJJQVR8L0kFZuUpDRuOwy07YApps5qpSqasVhnSKYgTmpmOAWVqvKvjRx1cJQ6mHkq++oHoefh7v1bLm4esbm84GZecMZxjDP3b98yH49aT9bstcRM2t3y9Fnm+1cRc/cLHn6Zufr+H9M8+i5pHqGMGLfww49veOwWTDE8/uwR0l3w/pj58pt3HA5T9SZSiMbUue/TTJER1Q2DRaIqlHLJ2ODOym9XBSlinEYWUZWNNk9QkpzrPhM8c4p0QSV443HEe88dtxgM/dKTcuYwKqf/sN8xHkfG41FVPvVh5Vo/iTWYUoUsDpypAhqhxlQ9Ztp06GiHqSnVYpCUdIS8juMoflnHbqyjSjzOE5l6yK3+WjTdFkGN5OplcJVcyOilb+wpANSfJXr4kYBQIT9TGUajtbc5qdusIdYySNk3cz5Ih/v3fPrpRzx+9CmffPvbPH7xEcN6y+7+gfffvOXd23d8/vmX3B8XdUtxJw+Feo6SNsnWOu0z9A7WTCIVLTCYOHMyJLGm4L/88kuyKG7YhIbQDVwNT7naXvLFb37F8eFetYD1BjTB8d2Pr/nk+ZZn3/4O/uZ7SLwnz3usv8KIx9g1T158l94Fyv2BdujoNh2Pnm/5/R98wvvDwp/86V/y5t0e4cTp15qoAsymYkxqyqWYnKp0DDkbYtIu13tfnQVbpUZT1O8pKh8rqTAeJ8Aw7vaM+yPTYSamA7dyx7IsmFAxzCWSSv4wRmKsHnw5NUuRYjzGcWbBTDV/kxo1T9MMp+hurWaPXH+mRWGyE8AutQRSjr9oKq3NjmTNAsYp+GVPhxllyhChbwKbfkXKSeGoRkurnBJzysxLqkiCMoHGaCAocqqtbW14zfl1q/OgGpPkekmlRNrgefbsOf/wf/zv8OjRI0LXc9jt6eSOmycNv/vpp1xd/E3efDPyf/xH/0++fvdGKVMLudRhxJOxBiqE1+hpsWT9urWESrefBjQF8Le39zj/mvVmq2nXOIZhxXq94eNPPuX1q5cc9ztSjJgizOPMo8ePCH7B9Rv81e+Rx3cs735F++zb4Aby4Q2vv/4VuSSGNuBLgcMDcb+nk8h3n3/M8Ee/z7/+y8+5PRwpeKZxhJJIRS18tDZKOPTW2WqypcJmvf3BelXLW8BmSoyUolOpzujE6zyPvH+7YKugWT2fKstUKdt8UD/Sk3RPatdasJWVonbmoniiqVFA6qiFhWIttkZGb4wycZKRtFCS1pfGeZwRcjUBM6YgxpPQCQP1htUIWFLCGYs3DlOEvg1gijJsqFh81Tc8e3xF33qkZGKcCdbStB2H48Lrtw+8effAmGfEZhB31vxK0exAvXAYncI4mSEHC8HrpHHXtYTG8f1vf8b1zRpHZNm/Z9lZWm9wacFEA0vDoydr/t3/yd/hz3/8Bf/pv/gvSCXWRsxVWC9X9xN36hopOVaGTFmsAnUeK+u4UXB4UmY+7CEnYioMwwBk5caBZ89fkHPm9TdvONzfcvdw4Jevdvz7f3xFuvsF2azIUYiLpfc9lIWHn/0TeP1veLJtOM6L2rfsk3buwx4Odzxadfx7f/S77JMwJsPXr97y9u1bdvdHYkGFGFNU4wvnFSgvmmaljlEXsbjQ0K/a6tChkTjFhWUaiWnRC4CtcIup8+ZA9QYwxVUHPlG3PKsUoXapCWOq+URVGnlLLfo1WhoDDsHn6nQNeFNwXvCuYEokGcgm4NsWUyJTTdHWWZaYCKamvjoGbp0hyYwXQ9cGri43bLqey8uNNqDOs+pbGi80wRAcBN9Qak2ec2Gzali1wtUKHg4zd8eZ/WhYss78e+c1nGvlruo555CoJsZ953nx/BHPnz/BO8u3P/uYxnuCN7gy0fmMM8LFZk3rG8gTUibWYaZvqgHb0LDbz2esudT6U7OVsnMnmEPF1Seko2aNpDVyNoJ3xjAd9szTEYyjpJm0HCpzZNlsLlmtN7x4/oL7VcObl6/4J3/6OX/vDx7zdy8MQWaamxeYb96Qj2/Ix2/o0s/49Hs3fO/LC+7nd7x5N/I/+Pv/PrZv+dU3P+bJ5UDC0awHsvMco+H7H9/wzfvnvL8fud8d+eKLr3n9SqGKfPZ812I/l1x9QbVxmuZZBSJSOOwPSoeOY/0ENAraSimmyvRg0PGIglr1OM8Hp+Lqj0U1bBMhULBEPNA0amQbnCIIjRE2q8CTp9cEK9iS8NaQ5ollKohYTGjxbUNOhnlWXyVTFNmYUmHKMwWvaiMMIjo89+Ljj3j8/Ak3j25q5wxliaT5wHR4ULfwrAOAvmk4PjxQ4gzjxNpl2q3l+aNrjhHmHHj1+p53dzvEWLJUkw8cUiIX20vyJKwHz7MnF/zor/8eXdsiOfHs6VYHHOcDZRzxyXJ9ecV3v/OC4Aq3b2559faOh7sjx/fv+OO/9SP++Z/8CdM0Mqd0NhXWWlwLU60o5UzRSjl5H6gazwWHE8eSMl4NaVUIIA5SPjIeDypyxbA/HBhWGzbbLbkIC5kff/6S/+1//E/5X7eB7//+x5jpDbd//s85/Nf/d558dMHF1Uy3avjOp9dMi+dfH79hyXvy4ci8v2d+sGpqGxMmN1y4gWwT6+drvvut5xymhZu15ceN55s3D1V+pzCHpKjgfE5QIiU7clQ0OefCMi5QrXZOUjKpczuKDWqHYrBI1l8nyThOhm1SJwbAO2EdDKEkugZWnS6QCN7RNA5rhONhR0mJrgm8eHaJOxlhzDMlNhzujY7DeMGWGSQztI6175BZhSdN47kILdno/FYWw3ZYc/X4mtXVBddPnmJ9QOLC4fYd02GvQ3w54qzORPWh5eHuFkmRvvEEaen6gWmeyMDKN/h+xWrb8ul0QymWh/3I+7sH+s0GQ+HiYuBqeMJHL55weXkBTUOOkWEz4MpyNt4tCFfbnm99+pj1YFm1LT4trNY9bXeJsx1/+De/zY9+9Af85//0H1cPWy2TTh39KejUaEKRhGBxpy+Kenqdehgv6gZQZWGRbFT6b32gUBinSR2blyOSCs41pDzzZ5/f87/43/1j/vCHf84PP97wd3+wYrAzbbvCtWu6jeH6yR73i7c0IfLLX/xX2KZlPbTM+1umwwN39wc+/d53WV04knH0fc9SDjiX+dF3X/Ct732Xn/zia/7tX/2M97c7StbCOlemRqlHHdkdjwfiPKtIWqobxxneOPHvFSMstdMtOgbjUIIho9CTM5HrlbBqDTfrnm0/qIFvCNgT+2KE8XBg3QTEGfq+Ic574gxtt6EfekzyWOM4jiN5mdE5LYtxAd/0pNBhSsEKhG7N3e09T58+5mq7pW1b+s0Fw9UFx8Oe/atfY1JhORzp+oY4TvTtoFagXYvzgeubJzTDmoKQ5hnf9YxpweGI44QJgWcff4scM/v7B0zwdJtLQtuzHB+QNOEk8fjRpTawxnEskWAXgglMY4SYIGVWXlj5yCpkrrZbbi46Hu4P3I2GxbT8H/7j/zM//dlfKsVdwBtLspWRrHS5OaV4ySeqQVGKSpef0BZrDL6IQiZFpBbaRkcIalFmUUuZfTzicDx9+ozjfOC43/Hjb3b81et7LjvPr/7+9/iP/sF3MPfwbNXQrwbc5sDnX99imsBm8LSrnn7oSSXx/v2e48NI66DkmdX2Gt8W7DyDMaxutljfcdm84MWjgT/7y1/w8599QUoFiieb6h86zmTJjONR5/MLZ8yRaspmK4KXKBV75AQAUciYYnEUvBFan/nkyZaPb3rivEdyxhm13wxNA8YwHY+EpuFis2EZJwxOV+rc7RSc2giXN4+JWehWawpwP6pONOeEyYK1DcPqQqNMzHjX8O1vf8Ljx9eAY3P1CBMa9revOdy+x1u9HG3X0reB4eYS8Y5mdc3N86faBK/WxGKIaaFxmtpLiZRpT15G1lc3XFzesL+95XC4oL+8IKw2Ktx+M2HxNE1LjjPzONG0PaYJ2DIrXDSOTLsdq1ZoaViHTCgH8l5HvfM0I7JiNx750z/9M159/QXWeRWiSIXAqnKKKvGTotoLUFG1lHJmskxly0rJ+JMp1xmcMPYMnp8G8BRQzoTG473hZrjGUtgfD5QCd0vi//TPfsb/61/+gmfbDf/RP/x9LreBw+0tU7gkNJbmYsuw7hg63WuUliPf/95HtEEB666FZR5ppaHpGsQUDrevsMcj339+w9p9yk1I/NUvvub2EME15HnkOB1IWcUPyrsbJH24iYI2ZqbOOLmaPSymUoUFL4mLRrhat6yawNObnr5xiBuAoowVibLoqODFeoW3hmkacbaoK7e1pHlRR2qnVKoyNJllGqvuVHC2AWMZU2Y5jjSh5ebxY5z1rIeg81Oba4btBfO4w5XIqg2s1xulKuPEk6sV2TjWT57i1tc8evqEtukBS6zeAznOiMBms+L2y5/jXEe73fLocs2umREusU3DvGRuH2aKz7Sdjr88HA903uId5GkmLxM0YOMRl/ZcXq24Wje0PtN7Ydy9oxC43xVG69lxoJQq7q6za0oeVRaqFKiNqNRkb7L90CjXQ10q1GetxVsrVU2vALSpJ9jBeUGAM+ANhMYxpQVcwPcDZhkpM8SsgO4c4fVuz0//0Z9gbGbdN/zgW8/4e3/7b/D9Tx4x3r1iOb6nN4bvbTrWmxVIAOtwJRMs+oDdTIyJPO4Ymo7leE95/xUv+sz2977Fber48uUtu92O+909J0M2x0lFD1kAVceyiAo7HOBQtRWiA4HeFi5C4luPWrabjrREGm/oh5ayQE4ToXOVVlUB99C6anduoViCbVkWNaZwvlF3bucgJg6HA6V67RtrOI4Txqtl55OnTxk2Gyiirtzesrl+Rn9xQedg8D293NB6i4hj2t/y4tGWtilsHz9luPmUHFo2256LzSVzVCRj/3CLRZdCXD3aMiyXzOOBbtVyvXJswwaxLVIy4yyYI6T7WUkC45hQgzeXMyFPHO/vcL2hs7C5bHn+eNDPal44FtQdMDnGPLBb1vyT//K/4Ou3r1WAUsemT9LNEyFVOBE39txEWWd1wcmp7zengsDilUuvXHWlLaVy0Hq4leZS/03PMkdSOuAaT9Ot2c97pKgBGjYrzDPOOBeY4szbP/+SH//6Pf/Dv/c3+Tt/83dp+i2TfInPRwgeiye0lpJmYhZCUBhq2u9pnCGlkdsvv2S+e6BtOj759Cnh6ikzAz/7/Et+/Fc/4Te/+ZoY1b1YyOSC6gak3spysuaGVJN+wNB4oXWJbz+74Kqpzh0h0zeONjQ6KGi9uoV4FRBvhkBoDLJQd0tp0ybJ0PY9F9fXNH1HjInjbsdhd2CKGbFqHRRz4ebqkscff8rq6oo0TmCEPqgv1vbihs2mpyHhXU/z+AnOCC9//Wus7LhaXXJ1c017teX6xXOmXAiNLjEb1musZAafmKcRbwtDgLxuOaQdm8GQp3eYnNg+eo6xDd0+EfeZshKyOWLDQOkc727vWcZC37TMLtMYy/XFQN8YLi8aLq83dNsb+mFNWSZ+/etXvLuL/O//r/+Mv/zVK6irhXzTnaccThJGREuAlNSG3oicx8hNxZRr4quTEwYv1pzBWEVkq0LbfNhKQRU7L0uitTruu7Jr1sOaNCfG6UisEUwHwYqqmRCsFR4e9vzjf/4n/OTzr/ndH3zMjz55xEU34vqCgmCVSsOQ08J4OLB/d4eI46vffMXhsMc2Pc8/+Yynz67xfUM3DDxev+DphfDjqy2/fvWeN2/fcxiPyt5U/K0UqUB85diN4K0wBMfl4Hj2+JpPnj9i//YNpmTW64Gu8SzzEWsSIgmxlqYf1PoyzSzTgrcOvFMPpSxnb30fWmLKjMcj9/sdyxIZl0jX97TDwIsnzxmurrm6vGZ/+5ZVaBguVqyvbgjbDdvLa4bW0RK5vrohpYhjZPfVEbpEYxPeFW4eXbO5vmQjhmnc0fctvg1IEky0uGLIywzSsBoCLgV6X9g/3NKvVnRtXa3RwqOtJ93CkhO4SHvZ0po1x+NCaDuaVkepnzy+5HLTcXmxYr25pJiW2zf3uowubPnpq3d8/s1bUp15cm1Qj4GKo6aUqkmwTg6fpjVsZfROCICywll1racaVR0tNGW6E5Vm3NnEKp+WRon65uccUXFZYeuv1N4lLerfHvWHJ06TpQopRZu5eyjsfvJLfv3VS978/u/w3/+9T3nkMxufsXnGO8sy7oj7I/vdyO2790xj5LA7kBG2Nz1Pn94wtJbGZ8r0lvz+G1Z55ve//4If/u4P+Msf/4Kf/fyXPDxMxLToDD9GtY9AZ4RNY1j1nmdPbrjatPR9yzLucd5gi2F7scF6TzyO9V1A2/X0qxXkmZwsJYP3lmncV3c7hxhLN6xxoWM8HJn2E9OYmJaF7dUFT589Z86Fm+cf0/UtvXfQFgZfuL7u6K8vaLaXXKw7ZN6zWfVcXa/00R0LFyvLtIB3SVP9oyd0V4/I00gab5G4x/Yt4gNd13AY3+NtxNqZZuUpo8DygJcZR0DSSOjXEBylcdzcXIJJlLCiFM/Hn77g/e0tMaHmx0bomobVeoVpAjlc4rsLUjzw8n7Pv/jXv+A/+c//hP281PWQmSRJ15AmAB11T7mKdXTOXj/hExt4EqdQ98KUXOnbgpeYz5OUhaqit6eiVmnC0xyMWCEbQXImTlq7tF1HN/QwgsSolKIplCr10tekyNkSFx52mX/5p3/Bb776hr/+ux/zg+crLpoMy4Hx/Tv2726ZZpXpHQ4T4iyXV5d89tknXF6scE6QdNQFZeORbdvROjA+4b97w8c3HV+/PfDLL15x9+4BSsKkPa03rBw8u7ng+vENj58/VorWCIcHXfzQtoFmWJGXRGMd8xQZuhVNv6INnsKie19LZlnUlC0XVQYV6yjGM41HdnfvmBc1I/72t59x8/QJoV2zunlCNwyk6Z62ZGxjaczM0AlPbja4psHnPcHPXF5c03ae7WbL+Gbk6aMbjhxpGpXL+WFTR3LV2ogyK5toA9ZnyANpSvTrFdZucCyYacSUBUvGWAEf8MOKJs5cObUIctunpKxCkKff+jbLeOR4ODCPR+JSaIYrmtUld5PhJ3/xiv/mX/+E/8+//AtevtlxPM7K6hlUrpfKuaOn1LEbcxoxqQH0tzxwTT5pEkptqD6MGfqcdLbbWUvKUoUW1ZK6NkmuTm3ak4DA6e/P46xDdc7gnSM0LUuciXUO3nmPM1RJnv7BKSXGcuCrr+F4nHj7rSf83rcesZXE/ev3TIcjgjrC+aahW3U8+/gFF9dbnNE1jalkljnSDSsVXZfE/PANQ47QQv98zZNHP+T+MEPJvP3ZX9Dbgrew3q65efKI0HV0bWB6uMMhDJuBYbWiWMOSCh5LsZZh6Ll6dIOUxCEeaYLTobYkbC+2RHEcxogViMcdSKkqpMLTJ0/45LNPECusLi/ZPrrGWWh6Q97fY2xi3VqeXF2xXTWsW8N0GLm+3mI7g0sHSI7QWK5uLnDTG4okfNMS2hZjCgRPN6wU9pIZSyE7oVkPeLuoY0m7og0fI/s7WtSZxa+vsasrJC20JVEai2sHzLDBFUOZj6RxT0kj83hgmgwS1vz0qz0//vkv+c/+2Z/w1Td33O9GFtGx52xOlkqu0tAFW+pehiqMPpmKiIDkqqGtDpBqFq20i7ppl7Ms0UspOK+LXNW7zNQBs/IBDUBHZXMxqEntabV5YZpU1VAETNPSD+qYNx1H1Tj6CnM5netPRReVjceJaZp58+YNP/1px3/v+0+4coFxEYKB1huun9xw+eiK62ePafsG8qw7oZJa9RB0IGy5vUeOB+K8kLJjGK4wNtGsHeO0UDZeU23T8On3/xpN15IpxOOuruFRa3HnLUPXcjdOWBHWq46296oUcJbGO2yEzdBVyMpirOP66SXLcc+ye2AqhnYYuLpu+OiTT2k3Gwrw/MVzfNvRBsMqbIkPhgt7Resyq85w0Qsh37O5cKzWniXP5OMeN3jC0CAXa46vvbpMG7A+gAuYnKrCLFGWPa7rcaFBslc2y1qwPbYbMFnw0w4TWmw7gPPIojVkEVGMJBeMZEqcOO533L97IJpAc/GM/+Sf/nf8o//bP+f93Z55TupiYh3G1i7dqdbAYs5zX1XsVZnpk1Uz1U1cR9VTUst1awwlqjzQVKgR0UUn3oXAeXWOFI2oVbF69n6iklfVZfjkdWqsVBdhRyrCOGltmJPO8eST1z5qEaQ7fTJOqmteisRceHub+fHn7/idjzZshwuIMxIM2+tLPaRDh4iawC6nvafRkJeJ43Qk7vZMD0cyQTeblIjPkQbPcT7iHRhnuX78mM3lViEQgaH15HzED47Ly60KOtIRbwslGC4vVjx6esPDfsIbx3azYSc61+WM4Ezh0fWW0DY8LHtoAsY22GXhB9//Nhc3V0g70LQrVquWYWixUrjcXrBf3nH14orjwy0+HynHNwybBuuAfCAf9PO3cgGi0wi+bVjGI9YW4ngk+Cu9LI06WNvQQNOB0fSf3aTPlghpgThCsogkiBNYB2kmxllHuKsxcsmFlHskWMLlJS/fHPhP/y//Jf/ZP/lveHs/McVZXUx8i/ONMkinqWLR+lQnHzRCOnOaTEXBVMzJv0NxUqdrniTFMwFgjKDUgA4LelO9ShE5j1LonnhlqaQUMEoEnBcEGhVr6DhERpKAWK1fqy2lVFtHMZ6Tg4gpWetfcp2FUeZoMYl3h4U3o+Hxt56z8oa2czRXlxBa3cxRIM8zcZ7wCIf399q0xMRS/aYcugNqPuxZMogX5oc7ZImEThe4Hfb3eN8SnNEGiszF9SXWWwbfkhIwjVxur7m+eczNzZbQPvD+/QOrVc94PBAwJAfWebrW0g2O5V4oQ0OeCpebHh8KQ++5fPacVMCaQmvhYrtl1TmGmy3LwxHbD/TeE8oRbwRrPbYsmPlQPZomgrO0w5rV9hH5eCQd95TjHaW7hJzqEgg1FcP2nKKLqbNdRjJlekCmB1V9iaHEGWMamAXfXtKsW2xomA8zD/dHUva8uZ34f//zf8P/45/9KW9u94w79eyyxp0ngZFcjfMEio6uFyn1pOjIiRShWPA+qKu4gNIBaoVEUVednAQpirJYo/t1da2URaUn1R34pLoqdYzjxEop9SVI0Vl4Z0WV6BVSUp2Hzh6KVIV9sVhTN7QhZKNr0jHgXKgTpzr9GefM/rjwzf3Id33H5XWPl0LBE4sC7aWuICcJu7t79nf3CrI7j+/WFO+xyZLGmcO0kMRhQ6KkEWcN5MJy2OEbT7Pe0jUtyzQr/jgMrDYDTgolWub7A8Y7thdr2r6HuwesUZyvGTqCFGReWFJmGDpCGxi6hlImuqsV2/WaxxcDLi+EPNF2ndaVznF5tcbLguwjJjjazZqUR2xyWDqaEJiPDzDvVGQ8XlBMpglgbMISkWXExAdsfgAXOK0EVdG2QMlIiYBgXADTYiSQojYmbrjEuBUlK8QW2hVpyezev+L9q2/4i7/8Jf/1v/6cn3x1xxev77k7zGefL1PNQE6dOhVWEjLnrXtSBeSmrrav31eyOjj4qruVrPNgKooSsslg67Ya6xHrda8XBl9+KxqroKV6eJxwVeC0OODkBm3QmgbUx8lQTz+VuqzNl/phnqKosNQZ76YdSHMhA30YEBZSsWQC+wgftx2ye8uXv/ySFGe2F1vatsFLwaXI/u5eNZVNi/ctxgVyUavxHNPZeaPkTNe0Cokg2BxhmfEUNkPDmB3L0eJDw3a7pcSZZb/Qty2xFA5379hc6Na7VddRSqJb9bTBM97dEwzMy8T2YoO5uUT8njCs+fa3ntOuepzfcn1zQzZ6iJxVt8PGOFIA0zuOD0eczbT9gG87fGjAO5YSkSjk6UC3vQQcXd8i6043Lb7/DdYlbLMl54KxDZQEWef2pahPlbo2B6DD+BWu9Ui7hWKJ05E4j8T5DeP9e7wv2OmBTiZcTty/fU9e6iIQ4xBX0KVbwskQRKTo/q4q+LHG4GsBmeqYi7MGJ+hoSmPP81OlNuj+tMEx1aZLVPJXUK9bMQUvVOOqOsWIyNnw6+TTpABsLQHQ3+M0b55PkTefo6lisWBwv2VAUGeLSkGmAyYX2l4fvhHdpLx7/5671wPLlaWMB9oQsBmWMSHFqmgXgwwdrffq11qnFUvJpFSYUkJExx+KdQybS6ZSaIJBSmLdNQSE+bgjBIt0Ot26f7hnuxlI2pzSNZ4+WMqyY9V7lr1lOk6EvgfUIbprGx59/DHFOnKc2Irw+KNPePLxY0C4vPlIBcG2kONSL07AFUvfr5njA85nDJa2H2g3N4o75ojvW1yAYXNFuP4YTMtalOuP0wN5vmd+PWJdxxILvl3R5QNu/QgxLWmZqssgyDySllkPM4754UA83mFtUrnjOLHcvyI3aqhBuecH37nkV7/5msMykoKjJMGLoRT1faAGuJORWsWaVCopUncpqBha6WrOEw8YB9V4o2Rd4Ukp6oNQ/btMnW5AUvVlqCDWab+oPS00q+MKJ8hLz65gcq4HTrjaDsQUOYw6p4RT/0+RqA0HmbWzXK07hos12/WaFDOSMrf7PcV7DvtD9abyrLcdg/fkmOm7gaF6g+KszkJFNagdDCzTRJwWkmhkHnPmkNRP03pL2/SU0OplWiaIajZ7+80rrm8uWXXXtG1HyRN5XmBoAUPX9XTDwDSOdK2lkcjN5SXvvvoaK9B3HUtKDBcbDvd3HO7uaLcXrDdb8hJpguf5x59iKYxT5PLRDbcvv8KhBhmmjDgXCN0A+QKSLpjr+xXh8imm2+CvnuPXVzx88XNSWWh8C+Ea/8jSG0s4vsMHSIcH4v6Wab/H+UCa7wira8StMc2att+Qpx3LrGPHroqsj7dvWXbf4K2WeykayjzjfBWKlMzQWv7Gj54y/tmv+auXe7Lrz6uWrNVMam21hT8Jflw4w6On4dXTF/R0KY3sbUBcqFR9IS9RzZ/R3ufUfGEVxwenbn5yuh7GIK66OAvYoJOPtqZRhRc8VjIvbq75+//e38aUzFcvX/HjX37Obj8T46IO0iKs28CPPnnCk5tLzKqnaxqOx4mcCs95RNM16rc5RvbHma71rIYVhcAUC6H1tF4NKIIF13lKSizjgZgXkimcJQzGV+eRQte1zPPE0HUqZG4aUppxVjfejbtbhs7iZUtZFtXeVqkgaaFpA9Oo+0MvVlvG/R2thzQm9nf3FGvZbtZcXV7hHLQOcjY0w5pxmim2Z3u1ZZUmxv0RH1Sk7V0dUwke47a0ncdJIR33+NUaug30N0gRPC1bWmzTgvhqw2Px7RbfdhACfj1xKL/CzoLrGrphyzKN4LKuBbLrD6ZzbU/TrcnLQs7fMO33BJMpeaHEQk4LzWqjBwVHnGZ6W/juo4b79/f89HZC2q1CmUlLuVy0Kz+7SWugRUR9GXSCuVQJ6YdNiVI9EYroGntT1DXF1JVD1QWLOhuuc3Cn7l6nD39bjKIZXnlQcx6Z1vAXePbiKZeXG47HmU8/+wE3zz/lcJyYxomHhzfcvf+G7WrFi8cbuiYQJZPzQr9dsSSDs57Hj66Z54m46E6nYA3XNxvWm55Vt2G9HmhDo2sTkyqZSl6Ux8/CstQxXBHitIA4NheXYKDxDc5a4qKgf1wm+mGgb1u6zrO7uyfU2mheFuzlilXfkebCNI+0jUJ04/HIZruh84XFCss00a/XOFMYVoGub4lloghsL1bYpmWaFmy7JqaFtgvMB4NuHNE16WG91b1NcWKwgXn/HtutakqsXgehxW0e4ZoeXAAiphorG99DM0BYMzy1hG5LaAKm7XFJmJcjtttgfK9j3TIqZJQTcRwp80yeF9pVIISOKEdi0YVn027CSqYxhmAtV+uWP/jWNWLv+dm7PbGozWVO6uJoHYSgaylzqXtPhbMCypiTnFJRgVN0NaVul+ZscInhtNuWuo+qik8tugZdsdAqh69n055Sf/lwwk3dbJIovH73TteAi3ZyQzuw3l4zjjPejlyvLU+ePUfGPcvhnqZpWV9e8fb2TsO5bbh7d4ttg4p1c2bdObabjr7zrFYNkhPHqHUUxrMshjIXXZSbVJMQAizTwjglTNtwub1iWUYkLjhvtU4m6jBc27LuW5yH43zk/vZBm5uhYZn2HB6EtCw0xjEfJ1xryX3g7m6HM471EHi4H7GSWK0CIpGh3zBOsar3tWG4e/OSRx99hPWqI+jahhwzTdtgQgM+4MIaqRuw/fZGO3Q8pBlMoaQJnIcwgO0gz0jWURbB1nkvi9gW+kuKK4RuA+LwrsE2HSYMmAilTBATYhMlJebdvWaJboNvOjJ1cUetz4dBy5s7Mm3f8PRZwx/2A/mn3/Czt0eiNHU/ljY6EqtgHeoSs2rAAXAqFxCCd2RrWXI+H08nBrG6e9Yaexbxg6ni/Vq/nkQAykxZVRsZVVOpIku7+ZNRL2IRW3j9/paf/vxzvvPRU4qMpGIpi2O3e4B4ZLvZcnl5zV6gC9pw7d+9g7Sw3Vww9CtyEWYpNG2HdxYbD2y3K4KDcVpI84wt4Gw47wLIuVosWUOcFpYSmaZEyoU+tCo8Ng3iHUkKNmc22x5KhxFDiiPgaRvFdx1CmQvH+wckRtqmIZbIdtXQWB3p2B0ODE3DarXi8uYx68sLurUe+NVmzXGMPLy/Z5xm+s4Qd2/YvfmKqyfPafqB43wgdD1N3+PbNVL97dUcwGHcGpoexEEekTRi4qIHtaYyKUp45CK4inmXrBZFvtHxGBVMH/TI9xsIA8YUnG9xDjVF8wHXtjhvQTLGNeQyobZClqZrGFZrDsvI4xePGA4zx2LonzgyjuP4OV/cj+QGjNPmDONqmq52lZzEz0Zn26yuFJ1irCFPSAAlnxEFnEJZudayak9Ejc4Wr+HZnutSY5yOz1bLP1MLZo24yjOJCNNc+O/+8ufkaeSzT54iwOF+xzweuLl6TL++YHVxzRwj4+sdt6/f4hvPx9/6iIuLC0Qs+0k3bhgDPgTiccFYS7deQVw4lgxxUSzUKaxhnJpKpJRYppklF6Yk4DxNFxBJhGBJZAYXSESGzRVd49nf3hH3E1J1jw6jkEiM+LalwyDLEVVMZ2zTMD4c2bSBzWVPf3XFzfPPdBmCKVBmTEl0baCs1gxDy36/x5aGuHtHuX6E9YF+c6GeVk2H8S3GBI2MedaO2PpKqjjlv1M+45RChnRU7BSD77fV1lFTpXMenMMYj0rkPDaswa+UvlkmJOlqIQrs3r8BIt36gtA2eNeB2SuUJEoamKZltVX/V3EemwpNafje9z5iPuzYvnzgl+9GkvUYEzitL085noD48yYUJZLqIJ9z5Kw7vVLOFRlSGlpOx0uL3EpMnIKl4KV6KJ0oLhU6ffBKUk9S/Qlni/CivkLr7SV//tMv+OrVa370vU9I48iq9UiasXnk3Te/4e72La9/+hP+7o/+FgsNl2uFbuaS2QyO665lQtg93DPlzOFwZL3dYq2j7zp1P9HtWIjoKu4chWVeSCUzpwK+o2sammDVzUSgDR6D0A0d19cXLOOBofVMUaNp8Ia86Er28XDkuNvXmf/M1WWHM455H0kx0W/XbC8vsH1DjEdCt6JrWxo3YJwW7k4s07Kwubih63sSC+QF1w265ruOxag79gwlKlRTCsZ1kKOuPMozkheNKl5Xm5uSIavbovU9uBazzCBJI5FzYAKSF11x6XSxQ5n2yPEOk0aKRNI0kfZvSPtb3VrYdhwf7hnv7zBB6lREwJgJKPTDClpYbnfMhx1p2vPi+ZbGF4K3/NWrCWlCjXwWOcnyqtgZU22P1LSgCqEr5Jlz3Z5dLTbrpj/dvKg4uKm28cYavLGnQ6rYoyr6HWefBkwN7SefT70cqSS+/vpLmqbh5duRZb/nB996Qut7+jZgZGH3+o6Xv/6CTy6vedR2mPaSbBoe5pnN5Qt8m7EhsnEGyRN3bzLvXn7D1dWGzjsFf5uWtm3JcSFNhXmJ+oG6wJwX5iT0XeDq5hJTrc+9tQTvMJJYDx0hOFo/0JnEu+VAjCN9v2FYrTjuHmilJc8LcTrQti3TGJn3B2zWDR5LnhnWPbZbk42hCW0lKYS+XWm6k4XVZq31p7O0IZCnW5237y5qxJg1QpaCIUGZtWuWBBIxqVCWA5RJI01uVGySEiVNteaLtZXQi8uJHUxLNVMD8qLUap7J6QFJR3zT49crnHvOoe2YdrfEODHt7ti//4buYkXOQsy6WUYkq+LNBjbrLYfbPT5G2py5GBw//GhNmu/5xfs7clAVm0HTfa4u3MYaihVy3SqNWGwxyKIb/6RS6yc9iSpNpE6g5rPHv4jFG/PBu/K0R/60/sZWRCAj/z+GXpB0mrBCOh5huBxYDR2XV5dQ/Y28t6y7hpvLDc3g+fFvfszT732X0G7ouhbXVOcMn9msB1bDmuP+nod395RNSykFbz1zUheXOTnm4plz5DBlsg24ztGEcHqntMHTdS3LMhGAtCTChafvB0rfYI0wH4+kGJmmBRcCIRUcapceU+H21S2rztN7XYDb9QHxltANrFcbXZe+TNhTxLOW0K90mG57hQueadppc+JBgsNI0HpOZhWIFPTXtoAkHUhMGdJISRPOei17TNb6NM3KCmYVHZc0YUrCmJaSIiYnSlQW0DUC1lNypO7vRAxYbwlDRzP3xMN7pER867l4fE2zahmPWSOy7QlNZEmj6iaOCScZykxJC6Ykem/4/vOGJiR+9m7HvnRYFxDU/AxAclbDu7poThfWKZylNj+QUAM457WOLXUkBWOqxZEiAZ4zPVr7/rrsSyoBoOiCYl5SBSkn6xxjXG20lCbLMXF/d8/F9RXDZs3QF3yaeRj3/PTlr5FWWNKRTdcheUdoLlTk6wx2MvSrgePhlrt37/H+ir4N5DgR51lX7NTXkLLQtoFSCsH3DJd1dbezDJuBUGVvAYESicvMxeUK13v6LnB8eGD/cAcZ5sOebgjMY9RNySjg7A20jWe97nCNzuFvbh6RsuCbQttcIGlEZAbTE6cjHsPh9j1uNdC2Dt932K5XSC8dAQ+2Q2xSOd0Js04JkQVSIqcFRO0xXZnBWEqsPL7YOipUnfZKxnqLO4neZaakWRER31bzaqc6U9sgkpmPO+LhHc4LzveaSduBfrvm1asDYmd1aylqWuctzBIRFoahpWkD4ziz248UEX7YB/pu5CevRm4XKPZkSaQRVOeZHSVLbap0HEgPsUbLE3GgpJJOYxgRbFEUIZaCPxWwti7SrWJ8nec/LQyoXZg2XB+WQVBDvZA5HnZMx46hb9luNlxeXCElcvf2JcUaRpJ+uHHGliOUQE49YWiY04EQGpxTP/39bod1wjD0utjL6ChEIZGJhNYSsy6J2FxdcPX4iniYKo2bdSGYVfaqDR5JC7u79/Rdy/XlJaZEQgPzlOj6tgqUB96/uQcLOc5cbgddow407QoXWsb9AdcEVtfXxPFAmiOhacjicF4nXDGRYWi00cpHmO4gRAVMxGGaFca12vhYDyUh81Ln3FE3P6sbo4vRqVDjjTZ3virdssrhco5YEsYMasmJqebFpjJDKrnDVFfueUaWAyIzq6tHpAQx3utG6XbDNO2Z4o7rqyuIGZkX0jRjc9JyjkxeBOsDzQC9gJ8yHz9yrLqBP//NPS9HoYSek8O2s766cp/OTlVZZbXz1Auk3+tRvF6Xv2lmt1ajrxehOsTZaqZb3fOo3kD6C5XpcRKteASNvM5r89Q0juurDZdXWy6vNzx+/gQXGn7+85+yu3vgo09WlJLJdcUj7p5oA279BCngBDwgOYGFw/0DJRWWLum8ku3Ae4KJLNOIcQlSVJgnLYRgMK6hazwuqWtfWSbmbFit1jy6eMQ0z+wPh/MA3vZyo4N8hwficWScFs0i2bLa9jRNw3q7pdvqTD1pYrXdqJu1BdutKBaMONZX15TpqM1NOpDmA01rkKalWI/xg356ZVS8NGy0nEozuBlrhEI8N0PWe6Qu+ECKNqhVoE4pkCOmLEiaNGbk2m37FpwuUC5TVCGyzEiaKHEmzntC1+ObFWIyrs3KzJmei8fPOHz1EkyDsYGSErkusRAjtH2L61eIncBGSiwEJzQYbDPxe+Ga8MUdr2dhMprx5hT1ENbsK3UboPGuGjlTn2EhmVpvG43m1jkVYgtq6SNQhbDqa59SJBfBFq1ZsyTd5lGbKUUHtPbJUmjbntV6xWq94urxJdO4Zy4wrFYsMXF9c0MIjUbqptENLBkCmVL0sKX5yDLuKSWRo6JpMRcu7SV7ORCGFda1WBMoRsHrdmhou7Z6hULXt5iyEOdddTBR+3CJM2U+shkGhssr3r95iwstbb+mpBnXb1hSol0PGAyNW7HedDx69pSmHxDrCE1D2wZc0AzS9mtSUlFF6FpFDNq11oNlQcwIqcJFTaeXPs0aDNo1xg3a8VoB3ytLY1D1lGur9aaFXC+jdknVyt1hbKrkgTadkhbNjM2AcYGyRCRHMKr9dU698F27wjcdvl/VPQiJ/vIS3wwU23B7uyf7FnyD947gDOItYp2Kg9DNgeItpQss1an6qtliGLHPIf7mgZfTCQTNFFP1u9ZixCMkbB2cPGXxnLMK8i1Y/Nl7AdVY49XxtxrGgm6ucx4xOqSHlDrvX87rc07z1qWCuvM0czwUUop8881LTHZ8+r0/4OvPf8nV4NiuVwyXl+RiaIc1x8PxrKYqQI4L43HHeNirUBtDEsjzwu3dLauLS2h6GmvIOFWW54K3Kilsukb3kHqPKerzb53DCjiTWY57jndCmXse7t5hq2GxLmYrzMtC261oHyld61yi7RpW109phh6qZ1TXt/jQUFBpYMmLrpmp64nwqlS3NmCd+9CRL0fFSgVcCOAbsvEYGl0VfrZabxVhcYFKc2l6NFYbLzLYrDhwaHB+QzEeGzptvPKIsa7izRbjLRItPlwoR1+OrG8ucN0WwRHzgaZtaPsev1qTpom+1cXEbrjAH+9o0qLbT5zgG/2c8brePQwd47gQk2E8zgzOUYaW3//shv3PX3OXVX9ha7ZOlbs3Kl2ui58VaSq2AvyoZtlIXbasdSneZNUYqj22VDPbD+tWjKH6AevYsQ6eGB3IQoe5NsHz4vqKy4stbt3Thh4xhTe//jVt0Ci9vrpinAtTyhjvFJzPBVIkLiPT/oE4TVQXVy4uLtQtbxzZ3++IyXB57euMU4dtPH1jGfqGlCdygeUQaT0qRSsRVxLkxOZqYN17jImsNisOc8bkhWU/kbKwvXmk+gCjvgKSRy6vLrBtR7PZqIOg8fiuxwdfDS7qB16B+dC2pHmiCZ44LZg6r5Tygm+bOpnrMLbB2A5rBgwNIhZcPZDega1slBGQiJi2pkqrgaMkYNQuvtng3KBTFCSM69QNG0FYIAw0zQpjOySO+FKwbat2SOMI6cB6M+CCo+SJkkbK8sDd4YH1oxc02+dqTXnc0YSC6QMpg8cwThFZEqFYkMQ+zohNNL3lSR/4ve884l99fsuURWtzbG3KRQPtWYitXytZVysVMRiTzguK1R7bKo6Ko4KrupVCFz4AYtSOUQrWWQRdE2NrQ+XUFprLzZpnT5+w3qzJVpj2O3Z374nHI03XsNuPbA9HTFjRtB02eJrWE7zF5CN5njjc3+pBtZ6LzZrNpuN4POJ8QymOYB1xGlkEmhBYr3vwqhpa9iMpRcjCcSl4wJlCSSNd17LerAhtUI1qXDAZfDDgPcPQ0rc9vutxqE+UJEdot2yunuCCJ8lEcB7rAsa3BKN+opij0rAnVglLThoBxTqKc3Utjsf4RolA2wNrDCsNK8ZiXKecubEY6ysNWdfguLZi5zX6FN2gRzlo5HWdho7gdCK3CkCMHHAoY4cNGFMoMpNdUOgn9Ph2wTptliVGHUHPid37O6Lrubi8pN0+QWwg5aiM/VLAeFatVRbOJ0p5wFl0wZtu4eXZ1cBnDwu/fHtkEU/JaqmEUY3syRBEssJYFnQQ8TwpomWAokzgNXpajHwwWBVR4Nxi6qoVcFn1MDr2X9e0UHB4pCT6dYfzVvcKdTqCEoJj6BU22t/d4frCcPkYiVLHq0HiyP72PXevXyPisENPtxp03Na2bC4Hrq6u6fqOlCK3t7ccxxGRwnY70DY9dsg8LPeEYOm7FiMRxoJxhdV60Cg8rM/Acug1veaYmPY7JMPF0w7rHP16Q1kcpu3V6Ro0PTutyTUte0h1oZkuWwJr8Y36OZkSMd4rZVpdQEoqallp24qncubHEVsPd6sH1+jGQ8hY1+iz4/QQF30tRsAEMAGDreND4Wx3jp3UT0EUShXrMM0a312CCRR7xOakVDCFPI+k6cjxfs90GHmz+xz7O7/Pqr/CdgmXZiRnPBkjjnkpBN8yLYngHauhWvega9g7PL/74polGb68nxHXkKVOnFaY84Q0FZP1RVKhKkHRG9H61+Dwgm56dtZhrW6usLi6SExZA2Mtupq8eofY0wCXIM5V9Y3F5oXQDXXlzkTKM0Xc2Y/pzet3LHOm9ZbrywGJC3EaOT484KzFmkBouzqL5ej7hn4YaBqhDdAEj7Dm4e7A0A9stxu9NC7gQ6DMM6UE2uCIQNP1mMbjglc2y6qHvskFKwWcxXuDLA/s3xpWFxs2l5dEXN3vqd+r494Ba1uwTZ0XmzCn3Un2tBKxUc/+oinc2IAxHhNnTNuqamwZ6zSuisCRKvpxAaHVy3qKNnXuiDoUWR+GogF+o6/FVLGyberPUyxSMSlfRzssxnaAkg6SE3I8qvLfKWGR5sS0PzAe97jgYBK++uI3PP34OZt2RZZMilE9ouKC1N22w6rhWGbWl2tM26rJ8JzJtsXOmb/+nWv8L9/w5fsIvkWCwlWIkCroj6smFKUuba46geoMpF4Gthb8nMStVkcNsqnCgtq8ZU4Ca12kZcXpZg1ZGLZbLi8fsVqreqlMk67/2e0Ynj9hc3NTDbKE/d0t64+fMc+qkYzjzHTY0fYDU1KHDuu9jnp0Dd4pZHXc7dQWMS10bcMSdUFBThHJQtd1iD+twDF0mzUuTThv1BkQUzWqhlxGUlw0Qkkhp4k2t7TNBc4axDXE455oLNkaunWvm4+DVyAdMKbV5sdanY/Hnj87jMGZRn++PcFMnnS4w0lB+g22WYMIZRmVrbEXWDJiWhSocxpZT1RMlcsZqStZjNeISo3A2pV8+LUFpIFqN6QGDwJF6/MyPZDmB1xwmNCRlgPT/h2+cWxWVywPmS+/fkmxhfZbn2CbNSZaiHu95CXpkl7X0A4DoWtptobxuGaeCzEL7jjSrjJ/TQrH6RWvjzP2tGW6mtjlurROF75ZbPWjQkSX+VIwtuCldmKCrg8/Kf5PC7t01707jxxkEawIIpFVY/n0xRP+wd/+I54+uqJbNwpO72457u7PGJ93RulKxWiI08hoE6b+e+M9IipV6/pWYbIQyAKdM6S4EGMkxgXnrHp/Wk9OkZgiKS4KyQC+CeQ8A47QDoreOENwDU0/sNpecHj/hmUeCb4ll4hki2Fm2d/qGMphj7eRbAusN5yFIa7F2JaSFm2CcLojS/SQqLzttF4ygVXsuQgw3sPhnuIE23qgqwde3Wkw5bz52shpOZnR5snUQ2hOBEtVu5EVfSFVD6esyICoKBkRrftMRXVMQUwEEpIXSoxISThd0AVAt9py2Ce6xtM0nm++esnV5TUXl1eY1mh0FyFYHTdPxYJpaELLkiKEnjYLS8yEfsVhvxD3Mz/4+JqHX3zDPgliAs57vGgWSpXAaIPSvtkYEkp+GNHVRT6TcXg9oKUO6snpA5Y6s60jHtbVT10Szx5v+aM//CG/89mnPNpc6TaVNpDJdE1kPWx58uwx+92Oy+trTEkMq5bD/kCeZ+yqoSwz+3dvce0KstO6tmlYpplSoFmtmJaEdw5rI/M00TcBmUcWsRzGnkdXa0LjWGJB8CzThM2JSCGsOu3QbVCAv+vrSsSGoevUXW4Z6ihEoesbynLEG3U/LmQlD+aJNrSKjshcg1ehiMJ2zlpMLBinewSk2is6q9I7UiLPe8oy49qmRlCvwQHRLSt6zbRR4jTTAef12op1cXJXPB1aSJwnkuqegtqZoHvipQqKFpUvikHqgt8cE2TNoksc8e1AepiYDjve3h7Ic2SeZr749ZdgG4ahhbZXDWnUFUmuGIptKNYRQkMZp+ozYGgbYXELvm+42nZ8+mjNL97umLKaIztrKcZggkey07XqUBk50VHpeli91tv5XOArevBhnaKtdjxUM4ESZ55crfmHf+eP+MG3P2azuWDotoSmIRVTxb4D4yphvWF/e8ftu3cM656CYbMZWJaFUnRXJ2JohoG8FOa41LlxIU5HDkBoGoa+qbXhwnHUYr0I5Fg4TokyH/XDw2BKRnLmOB6QOJO7Fh8sbtYSoPiMadekZWYZD4ClX1/QNAbTdCo/Qx2tXeiVVWlWOi6cF/AejKNIOYu4LU5JiqSGc64uMDO2Nl4ya11GIaURJwun8R+pB/DUTCieHWszJR/+rnZLoOa4Co2dxj2AyhYaezrYAWz6IHivFKaRopRmysTjiDUT82yQOGmt71VvcDgcWWKBOfL2q69JpfCt736boe8o1tCsBlKKBOdYou6dtaj/2Fwm0nhk2R9xEtlcrJnnxM2248v7iakYMLrfsBR0h0LRfodgyXHBo8s8qBS9P8Me1C/KKdPIGZDNRZkiUmHVev5Hf/dv8zvf/wHb7RVDu6Ebrmi6NYJjzInFPTDYAbf/BiO/Ie7u2MWZfrtltdrw8uuvOeweKMeJpu1wPtDkmabxiHNnQ+EUJzbrnlIiMRWMc6ToiEUL7Dcvv2Y8XvDk8SUU1Vvm6ch8eECk0EpP9Jb94YgzHfv7HQOWcVa7GO90l5ZtevwQME7Xnst0oBiPFIf4nuIaDDpYGFqP7rWzGOd1j6hYyIViErZCfdY1CA24BuMLol49OunpQ5VVNRoxXcGYjrppCfhgJ14qY0VJevCLlkynJbw6FOfB6EE9IRtiqt29NZClQl9Befa013q6CGkZCV2D9QNZ9sQ66ds2nrv3bznuJ70q04FQZj774Y/IOKQYXNOBsTSmoUwjsUT13K+vuWk8ueo7hnXLs8eXvDkkxm8OLOWDDbpIAQspJ5xUo5KqiDqNRHkR1JVC8lnqV4WPCplQMNmclda/9/3v8fu/8yM226f8f9t6syfLkiO97+cRcc65Sy5VWUtX72gAM9MDUiCHNCPHDKJIyYx6kUl/mv4GSW8yk8mMZnrQQlJGihTJETnEcDAABsCg0d3VtVdmZebdzjkR4Xpwj5tFmQbT1ktl3uVEhIf759/3+Xp1n0VcMizvE7sFRRMxVDo9YRkfMo6J/fSak5OCxMLNu2tOLx6wOjnl+s0rUs2cX9xnvV5SciF1mb5fUGrmMB44XayRENkftsTYEUJHGkz3Pm4PjONMqbA6WTKEQp0na8Vubol9j6QzS2VKZr/Z0MXAYb+nyoKU4HRp6s5uWKABhtNzm9FZCvM0o6GjxoFxmllIoEbvIKmPrxCbc4ULEAOZGJMRKVLPUc8ee1IcKOFAcOcSFae7SQD1jUuFeqCO13jliqR0HAHZHFB8MoGjAlZ42a6GZuBgojr/s2pug5a7BULqqbESB6FbPGA4NVlQOigxbpgOmTqNpKB01VhTsR7Il694/fWCh198ye6wZ70cqG5tVDUSpDLut9Rxj5R65AcQrHYIw5IfauTq9ltebyYy1ab4aaVQjatazTxaYnB0SQ2dEWlE2eoiQTUYpTZnSou01iFMfO/T77FanRFkidZEiT21mLRgzDPjNDGOB24uX7B99zWa98yhkiKsVkv22w3T7sC8n1mcrjh7+Ijh5IQ5w1R3dLEjRuFW7cRuDpkQVqRhaXKHaaSmgcyeXGZePH/F1bsbfvjFpyw7YXl6SijmEpKidURubq7pxYq6e0NHnrfEfkm/HMhzy8kjISSDaqpQQ2e2QGMldIUSK0hPmia7XutkrdE8EbqAJCWm3jiqLmhXmbxKN12QiMt6NHguCm1kJQqie+ruEqaNRcnUH3+fOluPX5KnCmYBqgRQp2lK8rWyeQKW8I2em5q02SJvRNJAWi4RIC2M4zCcFpTX1HmmbLeEccejh2sWi548jiziTNi9ZffqW7RfMEcgdPQLoVv07K43qBbT9w+RTnumaSINC+IQ6E8TcXGP715vudq+IKtY+9ix+epTv03a4vOoRJCQTDPVxo0b4cTY1W34lZ1kaxcOQ2+SkWlHyZH9ZiSmDbG+Js8KKdmc+nlDLJecJO9caGE/jaQQyeOBebsjAmf3jaxS5oyEYIrIamVF7HvGWoj9QOxXhNSR5x3TuKfOM0M/0Keefliy2e559vItHzy6x+r0nFiUvhaGxcLswUvlMI7sh457F4W+T6xPVhTvQc/jDTGcMY+VKrOB+LLgsJ9I40Rad9QYrRgSUzyUw4hOG9tAWUxy0g1IiJR5B9VmcuG2Ouqby7RSh+PkZq3WOKCM1HkLeYPU0YgtmBmwiM9gDTjI79mtozWoGNAvwTap/74gaBmROhl6EJJtVmcmmfV4Noy0RuYi7LY78jRRxh0P7p3QLRMShEgiidLVA7vX36DDGeP+hPuPP2G729E5OhOjMFWIix5ioO4jXeiYp5lalC4pH1yc8vT5FePtSNVKDB21mImJetppnAtvoxYM8L8T7znD35WpdlK94lRhmpV/9/Nf8XZ3wx988fs8vnhMUqNwLdLCfRJm6rhlO15zqBO7zQ2b23es7685P1nThw5ZmMapROHt2zcs+wXzeKCPPURs03unJ3VLJEaba3p7zbS5tsMwTs5hhPPVwJgzT5+9YsqFB2dr7p0v6HoIUpn2Cc079te37N4tefTpZ+Qi9MkWuc57GBbsr69JndtZ7m7puoGuX5BTsrHqpVDnDf3Cir863aI1ExaJqANNLarzwSLqArM8UjluNK3VLB/rhOmMZoeOQHWynj4RGtdUR9MPBVPNIsXz2zs/sDuIwPkB1fRa4CrQaTJ0IFVMfWGRixCIaWED2iQwbXbk8YCUmdNVz3rdmyCvVqTviBKYRqMNzrd7Nq9esDo9Iw4n5GmmWwxsb66OTDkRoQ4Lqkb6OJC3G6TOnA3K/ZOOy+1ErubnX4td9xLdDkotN43HYkrsBXO2/ErElI3i0ca2rLVVp5J5vSlc/uXX/PSXv2PZd6z6jpPFmnv37zNr5Xpzw+bmxseQW7dPS6Zb9Jytltw/X5G1sEigv3nLxcmK09MFNY/0iwXnDztS1xPDkhiWQCSJeCTeM+4OlNlwNysICiUr/TBQtPD0u+8YDw84O/mMVYpMakys5WqJzlvzNY1CTGYTdNjuCOVA0JlZI6f3L8h5pCPDdGCaNtTc0Q0RpIdlR80zdZ7Jhy2qSjq4IpNAEKjjjhoE6WxgkGnbZoOiajYOajmYf4Lm42aTOPjgD0XqbCrVENC0sIhZsrmMHMeW+4pK9eteoE5ImQwX9SKMOlMxVYHBXRVKNgitX5K6Jbdv37K5fEWZ9+T5wPr8hJSCOUYHu9pLFhtjWQuRA8zK669+w6Pvfcnq7JRxt2G5PjXYb1hBSsSQuL22eWS317fkcUesIxeniWdXgevR/FiNK+EH2Tty1nW0ea0J70ZFcYjAGeEqRuurQHSLSXWtlJbALMLhkNkcMm+uD/DmEqJxA7S5vQkolUAglsxm3PLyZudNAzMzO1uuyXV24kvi/v13/ODzT/jskwfMubJIHfNuy9vnT9nd3JgqdBhYrtZ0fcew7Ck5E2qhGxK7/YEpT/zsl7/m9774mNNFx/n9NUkLUQeGtXVhNu/ekGLnDs4VWUAnhRgqw/qMQ7lF9UDe3yDaUcaADKf0y7UNzs0jedwTY8/u5h0LFUIYyNUKkTAsEDojcuTJBrKpAJ1tsDITtFDzHmEF3cIk6o3pXw2Ary7NMFZZg7LaDV78xrOCEa1IGY2bqiZfqfNInffGggtCzXatl/lA9Og1H/bMmxv2l6/QvGe57FieLpHUMW921iruOrb7PTe3E6s+EFNGx5mbZ88oYeDj3/+Sqpbv6jQj3codbjJD33NzfYto5fbdO5ebzAQxq0p1SC14a158/2ipFMUm2Si4EjB6IVW93290P7uvjEAg4spBMU/+ECw9MCGgEIrpXGxinVIdOE/BCwlsjn0ApEZmLVzvDvT9ijIfqHXiML6hzBPrZeJRCtQycvP6BbeXbyhzpguRIUGnE6dDD3rg5HyNYHMIHp2vyXPm+eu3/O53X/PDH3yP+/cv0HkDWRhOTlgMPbHO3Ly9oowT/emp+QKESBcXdvWGADoQh0qguucn5DySamIaR6bDAWVn/NbhhHG7Nwy0TM4NCMZumgq5WKclpkhRscFseUTnA0qHROufI4WcD7axNPi64JzVZvmIYcaaMR2WKW61TNQ8gVv/qHozwR30Kge0CvNhS572yKJ3plmBOtEPwvpkIM+TMZdih/aGQx8OM4epkGeoISOxY9wc2JU92wIn9++xPj23SC/JUJM6k+eRmMzpJVAZhoHbmz19t2C9GLmZMiH1NohC1TT+1W1NxfZS1kJSn01pP1AdluLIG0QqWQ0HTF6JBRGTXDR8VSzPSEEclza9lbgrdcELtepEA8H1MpZ/jPOGgDCNew7biVp2fPW7JV2YCWXi+vI1mg/0mBvc5c1bFh3IeMbFwwtiTazXK/9sQOo4+/5H3N7uePHdczbbc05PAo/vn9Gv79EtO/rlihAT2+t3KMphf6A/vYeEwGGcQAxhWK7OEWbqlEmLwRCSClmF2J9Q88H1PRM1zyyWK8OCg7czU0KGlQn4qFQJiAzW7awQxDYZZQ+aTGIiGMmkBkQ6vw5NXm36ohl8yAYSoXYeQSdq3pluKkQbOjYVylSIyavo5p06HyyS9TM1jwzrBScXFxSJ5FyZ5kwRGM5OyPlAyLBcRrpk+fA8T+bMMhYOV1e8evotH3+R6GLPfhxZrk+Zxj0C7LbvyOOBMmejRAZlOuy945jJNROqQR9aDYcW5yVUY1GQbCJFtEjYyA/203AssjimAVLNhLUZCai3XIt67nP0c79j8FsnUM0vySO2kQ4CJRfr9c4zJc9WNc4zb96+5nzIPDpbc7ZcMu9mOkxXU8rEOE1c10xXK4sU6E7N+VkxB+zFsme97lj2ke3tnqvdzKOLB2wPEDsbep7jCl1UZDKCSlqsjLCb96YRC8JMpk/Jq30DzUPs6IaV5Y5a6btEN/R0iwVxsaTWDkL1qKeEfkGYPEpJNCJzUWoRQhGE2WxtpENn9/9SF/+hSJM9e2dJUWNAlezvMRv6wEyd9s4p7ijVBofk2aZtx2Q8iXncUYopMur2mjgMsFiTTi5YzJHFrIzX10iIhG7BZpxYnayREDi7v4TpgNTCejWQ846gyvbNG8YPHhKXp+g8Mh9sQHEgMO231HkmirHWApW+i4zjwRAWVUo1Zr9Wj6peIlZXo6aWj1pkxNw6fJG8OeBWgUbva9ESVYaUXJ4e3cffulmletj0YrRWt88J/qFQgppDdJ4mpjzZh4+J+2cnPHnygB9+8SGfPFhxtrDiJdZTps2Gd28v2etIrcp8mLm5fMeQlNN1z2Jxj361oBazUey6jrN7A5HM7W3m+dOXXL55w2eff8zhMNFjHv/LBaThDNKSWoWr1284vXfPXOpKQboltU5onkiTcCh75vFgVpP9kjxNdEPnbPURRYlpgUpCSgGJxlXVDBJM955nm3WQZ4soGsnztQkt1aa9VC+qPFS4qA/oBLJF8FKFOm+o844YjLIZQqRINuv4CmU8EIfeayjb4LWad9Xy/Izu7Anb2z1x2KFxRxhWpCXsDiNKT3f+0G7WUUjLPcTKEIRhWFo6J5EsLiRcVGOgOStqnkbrOs2z3TBaWfQdNbsvrjj9KVjjXr01rNI0VpUqldTY1KUWJAZUjq7rx05zaEm9mLmATZ0OzDmb1782SqDD2GIRtqgeLdQtYhtumKl2FRZzqQ5BWcSOi3v3+NEffM6PvviAB2eJeycLy7GKVZ/p4pQHF2u++93vyFvI04RoYX+z4+rlG9bnp8SYSH1i2m3RWhm6nnAvEvoFV9cb5hz45pvnCBXJmbq/5ZOPHzFnmy+121wyH7Yo96jS0YXAPO7pujWlzGjeA9D1iXKYmMeZFBUJa2vx5gkRJcVTlESZRmx6jKHSoc6U3DRSkcPhlm5I1LIhTwdq7Ej9YIK/EN/zufcbTgMyFfK8cz8AIY875vGWhgVA8M+SqZONwplFKdJTg5CzkvcHYobQ9Uh/SjcENCYOpTLJQE0dU9jy9fPCJJHzk477i4fIYBs9F6NQrk86xjmzXEbm8cC0NgFi3/fOySh0Q888ZcbdwYpNrzUO02S9kaIQe4LEowN5VSU7xcGLKTF2uPjX9Fap0yqMxCDR6H7tGq9WqZVqLBzLtRIB2/AqavMwizu7dYFZG8fH9EEJ7zqIsOo7Pnr0gB//6Af83qcP+OhiTd9BzROLdaJPNsZxPmTO7n/AxYNTXn3zjMO7G3aHHbkqm8trbl+9JS7WDCdLkMi439OtVsThBDlccnp2wuZ2x26zo+8j9bBnvNnwTOGT7y+5enPFsjMD4ZxnimZksKkihUpIPQQTtQnCnG+Zxy0pLinq5GwCSTpCWlgAmPYoE1F6JA0UtcNVa4UavAvYUeYdZX9NPLmAGpGSj3biQc2CMdAhVErZ24FQDCqb9tT9eEduEQPyaylW3UsgdND1C5KsKePIze01JWYW1/cgPeDm6h2b7Z5NFm7mjs1cuB4H/sm//jNev9vwxadn/Df/8O/QnZxR5g0Bn0Z9sqLemoPg/uoKWZ6yXK5suEjfUepMxeibRQdknIiLnn5RUKKJp8VUqBUbWocWo4Qes09pbn44gOx/l+NlYzlDtNhaauH9cT8Us6dRheqpQjCuhAm58Ic9KYFIjJ0XsKYSPVmteXRxweefXPD7n13wyYNT7q0HHn9wykefPuHZ028Z9xu61LNYnVLWRk45v3jAsFxw9ewV+9tbNtsNiy6heaYcDsz9kkLHYd5Tc2Bxeka3FnTaE6fCPI0s+xUpJuZpYjseePvmintA/+ge3dlDDuOBxWIwxWuwBH8as9HdhjP7/nJwPZNRCUNYUuvIXArBMc+SrahSRkuhJFDrbJEDs0ivgEghteoXE1JSbLZsKdVnfBkft5YZLYWcZzQXpsPEYbcjxki3WBju7XTDnLPpqUJPSgO1Rqbdgd3NNZNMhBffkfaRN7eVV5cHrg49L29m/uqrl1y+u+XdfuZqM5Je3PDVd6/44sFAWi4Q3RGjsl6uybmynyuSR3bXV5ycnxFiRxChi+agQwgsdY3WgISej1b3ePjqwM2rHZqiWRSpd9mO/Fvn9kqznXS6mVYlRK++1PP3qkcniyqtMKqIZkI17K626IgeJdQQbc6UNv4k1GL+7X1KnJ0u+N5HD/ny+5/w0cWCJ+cdH318j8cffcj6ZMmjRw9YL+DZt08pOaABumFpfXdVzh89QULH2++e0y16Fl3HsF7QLZZIGqAL1FHRtGYKC7r7p8RpZL/7Fi3KYZ5ZLZas7j9mmnfczoWzmLjezyQJlHlGZEG/WpIp5v4nMzUkc2lJMOdKSAtC3xFiTwgD8zwZID7tjdRcFTLUOpLqHo3R3VwmRGZCNNZUqWqDMza3LC8GimCRtxgfs+SRUkZUO6pH71yKEznsOc95opclMdnUvJINlVERQrdC6amlctgdmA8z47xF0zXT/i0v9kuevZn45W+f8cu/es6Ll+/Y7vYgJre5vR355V9+ze//5z9GuxUadkgo9MtThpUy3W6tVb69IddK1yejxibjOXQR+mFJWpzQn2V2+8xnn858/epXzFVJBLK3lWO0DZqLp40oSbywl0atau1T37zis6FCMBmyER3M8UScIKyqDi/4JkeJwVSEp8s1QSvjbI4Zp6sFF6cDX/7wUx6dr/j8wzPWy8CDs56HZ4GLNZxd3CNPMxcPHjBtDlzdbJm0miZJTdpdNLA8f8h5huvXL0GV/t4FiwdPkO6UzTgynC24vd2w6AKRhEhlUj26jeRqWvUUIhKV27Ew1Bkh08fAZrdjc9gTu8iijywWC+Ig5KmguTKNI91iCemUOQvst8zj9mjsEIO1Y8thNFyzKtL1ZgY2zqjuoeyJaUWdbehbErz/HV2hWSlu0oEGarWZYCl0aDCLcaUSY2ScC1Oe6UIkqzLO5uo3LJYU194fdns2h5EDiSorNtvA69s9X73d8qc//TXPXlzx+s0NczHictV6BOK/e3nFbiosQjKVLcqcLYfuFx3jdmTeH7i93nCxPDcZiURCNxCSBboYM0OtHOoOs6azWQBBTa+rmkEDsYtMxXjHFcxxOohHVXmPNdU0NopXayYVEa1oGVFGYxqpEZ0fnJ7QBSHPGZHKx08eEgPcOzmh14n1Sc/pyZKL+yfM22s+enjGoous+4mPP33Cp599RBczUneM757y4LMvqQTO7u3Zl2CDgLVDXaulKnTrE876NaQF0+07wuKMuHhITUtq3vH65i0/+/kzLq//ksePH/Ll731C7BYEzPk44zBIEOY8s9mM1JUA2QasMTOPO/qF8VrndWbUyG67Zzkk9rs9Sk/qhZx3zIfMuLumW5w57U0p80jZ3YAocRwJqaNU0KyEVGx0fChOyBDokxVb0SCl6XAwo7OuMw5nDfYdUs/m5tLUCamj9kskJAodZVLKVK3Fr4EFA9sxs799x+52xzh3TMMjXlxf8fTbLX/xzXN+9/ySt1dbpqxmeS9CLVCMwoQovHl3YDfBqlsyS2TKE5vtW8o0I/1ALYVxd+D5N8/ozx+ZFVOtdHE4TuEuAjfvrtnfbthtbyjVrSdx7NR5COM4UdXL+lpI7ZpvKj5tFX+tjU3m2Kq53BV376tNO43w0b0z/pPvf8SHjx7x5IOP+PkvfmpMp2lmYMf5Cj5+sObjj8/58sdfkscDt69f0WmkGyKPH6x59GDNeNiStzs2b69Y/uBHzGlNv14x7DP7emAczScJhZA64mpFFwY0JK4lQHfKoUTeXF3z5t0t/9f//af86rdPyTlz8s1Lrm/3fPl7H3Nx8hCdthwm67+b4FQINbCfqjHOixID5KLoVJA4MG5G0nRDnSfOTlZ0MRnbSAPDckkvmelQyXWk7kZSb376ZY6gMzJPVJmZJh/hGSLdsEDCTJSOEGCulSIjKxbs9zvaiPoyRvZj4TCP9MtEv+j5y6/esYiZjz48IXS9DSxLkd1my7gzthKxI2nPYVLeXk28eHnD1au3vHn7jj/507/gclu42SubcWKcjJxeSpPCmOWodXUr2y28ePGGBx/fJ1ehjIXd7chuu0dSYZwOTLPy5ruXnHxyw5PFir7rzbRiWDLtb6lVuXz5hpfPnnLYbYkpMk8ZdfO0gqJVDHPW4kW9kpzE73mpcVFFDBKwnr1JVEot7rPe0oEeamHoAt/78ILPn5xzbxUI+9f88KML9uWUyze3LIaex/eE739yzwgY+x2rFLg9ZG42E+cniXp9zZu/umE4vY+i7G833F6+5OSjL0jDgEgyWUjJhH7B0K+oBPrVmqyQNyM7Bt5c7vndz/8dv/j1UzbbmTdX77i+3VBLZbvds90deLO95cc/+j7nw8AQO8+17SrNpTKUYJS1qqy7gVpnxgLzPttw2cMWKUqtHesTO1zdoRDilpPVgEYbWpYPe/rlim4ANBlxuSi5KqVaVD1MCrtiToBBWQ7RPLnmTJaZy8tbg/roudntGHPkuxdvGcdKIfL0m7fcXL7kH/z9v8m9szOTOTOS58L25kAfhfV6SZ07vn12zT/+5z/lm2fPuXp9xe3ths3hwDyZ902JLuycsxfDNnC3+OhKZWKaCtebDYfJzEHm7Y7DvnKzL+z214xlRMX8bDe3W/LFTEo9WWEeZza3O7bXl2xvrnl9ecPzN7cUjbbHcDxfnb1XivMZ7FZPzT5G9b0N2zajGknlTvBnIit1TCAF4fNH53x4sWTaj+wJ1m4jsl6s+ds/+XukCIvuDUN9zfW7t/zZv/5TNC7ZXu75u3/0X7DdX/Jv/tm/549/8nv0Zyf0y4HP/vBL1hcXdCf3WbGmvj4w7TeExQmdD2uYFXa7zHffveDbb57yl7/+Db97+orr7cj+dkvO1WfG20mcc+F2u+XXv/qG26stHzy8z6OLcxYLs1NcLjpO1wOLHAk503cCWJ9ba2GeC4vUMU0FKUrWiTfXO0SzCQpj5OR0RbdYMCys8xTHzMmpD1PQQOo6trsdIoHNPvP6csu33z1ntVyRi/LB43t0Q+De6RkPHhRevXiDxMSLNxt288h2rHz97Usu395we7NjzsLl20t++dULPv/sCQ8e3eft2xvGcSJEZXd7w3qx4kc//pLffvOKf/rP/z3jPJnUvRbmovRdz8NHj3nyySdsdxtePH/BeBiZ9gfGw955q4GSzWXvxatL9IuH5LlwGGeubjbc7EfevNuiQeiXZyyfPGEKA7f7AzF1TNPM7mbD/vaa26u3PH/+gpsJ3o1WEOJ5aHXFQxcrVKWoUEQp5jVTj/hpa5ea6F/vNqh7/Fuf3lxG+gB/8Ml9fvLlhwxlZLl8wJOPvuDN1XfcXr7g008+5a//9b9GEmHaPuObX3xLOUy8fr3hzfULfvLHf51Hn99n/E7ZbUcuPv6U0yePGafMyZPv0T/8ATI8JJQ9+/wN2ymQlkveXR+43lzx4s0V3z17yc/+/Be8vrpGC2x2W+bZvEZLzQ6lNYijUGphtz3w7fiGl6+u6To4Oz2hHwbOz054cP+MLkItIw8fnHJxP3H/dInmTOoT26q822yJpYIcuL3dHidpp74j3G6QeGAqIGlB5R2nq3dMs0lWYkqMU7Z8eD/y3Ys3vHxxxWp9wm5/4P69NRf3TjlZLfnii494/uwFhylzsylcvbukSuLtux2XV9fMY6Zi7dHbv9ry1bfPuHjwiM32wDQXihaGhflg/cXvntMvltaEmZSp7OkXHQ/OH1DryOc//JzHH37K2dk5pRZevXrJvNvx7NunPP32O+bdDSShS5FpnDhkObpD7yazp59roKhwsjrhsy/+gC1Lvvn2JfXhhM4jN28vyfOe3ebA29vC0zd75tojGMkJzSRpXhHmMo1aW1+lkmrTgxmI2iB9Gr6q2jarVcpNJJZE+f73PuHHf/gB+3cHvv/Dn7DoB8Kv3nKvP+GjxzbrfrV4yP76AdP+ln/9L/9Xci385O98yd/68fd48OTA89/+JZ9/8YDVxUPWT35IGOE2w/Ymc/Xua/78z3/Bz37+K672M+82E989fc7tbs/N9Zbt9sDucEDn2R0Is88mChSNBDXIrKjpiwiCUJly5jBNwMz1zYblcs2rN+94ebI2864y8+DhGQ8fnPPR48dcX7/j5PSEcb/n9auXlHEiV9hsdogWzu+dmn37bE6IhzETugV5nDg/W0GI7A6TjR9XmIvNwLq+2TJNlenNjr7veHW14d7Jlv1+y7cvr7i5vmHMlZRWXL55S0yRd7dbj0KmZ6MWxnJgGiPz60vmubijn1X9XVzw6s2e5bJQSkGDDcKtpbLsEx998hEfPH7Ih08+YLFeE7rIk4+fsLu55Q//8EvevHjJ869+wbi5IsXC+uSMy5s995crJB+I4YYuBk7Wa04efsKnn32BzpGuD6wefo9nz75iqRt2m2umPDNm4fJmw3bMFEnY2HTBxqIbpyRIb/gvSpRIUe6I01ZA2WaVtmnFzXwx+Mrg0Aql0qXEbntgnka6sOfFsz+lbG757Ml9/vBv/Vdk7fjtL/8F3fAJ9+99QF0+4HJXSSlx7zRx8fiCe4/v8Tf+0z/k1bM3pJOHfPtq5Gc//5qvv3vJqzcbfvv1Sy6vd3z78i37qTDPyjzazPhCZS7FsMMQjOupfofgBBmXaVhaYwew1ruJxSUX49/oDgmw327tYAK3uwMvXt7w29++ZrfbMywHpnFk9smBtWL5XaksrmaLbqUwLAamw0zslsxz5tXVluWi43q7p0u9myXbnKw8Z0otlFqto6dCHm8Yp4n9L79G1aYLpc4QBcKBOedjSxv/e/Wu4phHW7aqXpxECgYx5dstiA0JoUKgMB9uGfQeayksZeJ0dU5cLIDA2WrJvB85Wybun0XevfqWctixWp8w5ZnF6Ql1f8NquWB/2JCA3dVzDo9P+fHf/6+5OlRuRmW3G3nz239P1APb/cyzyx1vb3eUGqnRuiXuhWb7sFohH8W8d4P7cKXo2igr4n0gmv+7qpOsHGM1Aq/BWTOFb1+84uLBX+P3PngAdeL6dc+jR5/yyY/+HqPuefndr/n665/y7KvCbrfh8w/XPH70kA8+/4D7n32PtFyyQMi3if/pH/85f/LnT/nN1695fXkLFW73ezKwP9hob5FI0WryWiMU0rWx2cVEclLV3AkVd3SpTnwwIndQnDLnpOMgvngCkg1RCJH9oTKOM9c3t3Ztb6KrICLiXFutlkuN2725kFQlZ0s7Yq7UrMxBOIxGoilj8/OSY8u61mLqiTy6abIVsdtt9iJDyONkPOBgmEzynri6BssQSPtZc642cooE82KIwawyQ4gINrxMgrBYLri4d8rZumdImcRMrwNazHk7dTYZ+7RX4r0z5p1dzbFL1F6oaWB9dsrtbmI3buii8uj+GWxmHtw75+Thmn5Y8vrrryi3N7y+3vPscsehggbjKauIu5l3qGKAYbAR6up7MKGkruwJKXniGlCn8xngHxCJR/8pdRmDopQCl+92vLya+Mnf/gKdtsz7me32mmd/+aeEes3jxyeszgeGsGJzs0XqkvXFGaU/5es3ytMX3/FnP/sVP/35U372V9+xPSjb3YE5e39bDQIrvkFs+KsRB2N0c+GWtnhADUFotBobnBE4yhT1zqcg5+zOcS0lEB/ZLj7YIvstYqVjLlZw1hoclROfcigu0rOnVueJWgspwtG1rxbT/4Rw3JjOLfP38AkhZb5TRyi2+dVWgmA5oUhkKurydl8PhRgb8cVuwiDWGFAqpRSCJOdx2HvZKF+h6wJ9FKhm5JFLpUtWh3SLnhTukUIlxcAYIDIzrFdmDnG6J86Fs7PC7XhAUFb9CQ+6E97eXPP4009ZnVzw/Ac/4td/8h2vryaudpWJQHLsvuZqtL5m7NKooeLKWjVLotQ7PIMIWQJVEgeCEyw82looPVL3Kjae5zBF/od/9CecXDzij//GE04/gFffvObdt/+Gxx/c4/6DB3xw73PWD36fb3/+J/zm6x3/+F9+w5/+/CnvdhNv3x243U4c5pnJLYXayCAVjm1Fday3GcEqao2JUtHgRhnK0RQWP5XVtUUBNdM3Izw6DKfH9q5tQJfg+L+bYdzdz7SkvXgkiyk5RdSvWc8u1PmiuZrVjk3Zs6st14Ji+SXOUtPiG6feKSpalVD9vSut9+KcTTHWVFXvKIZ2JzrO7dot0UDxz0FwlxTUVRaV1283/OyX3xC7JQ/jgIaJYVA0C4vlynSEatOfFn1iOD1BqvNq05LF6UfkzYHF6sByeYKOE9/+5hf84V/7Cf11hrc3LLqBRx99xk/LkpuDMqoFQ60wN7lNqQRN7hppjzLSKn57TmnoWtSoRM0IhSFERgnM2tkMAw9bTX9uDFWjxX3z5pb/9r/73/m9j0/5B3/0OQ/XEFLiYlhz9ugj0ulHvPnut/y7P/sP/Pf/y7/i519dsZ2yRe0Qj07DjUOQHQivwQ1xW+7sG0Jby816EMau9ysieMRELaLUJOTCcUhD8LB7x0fA87x6JEO0kd1IA56PQLPBKG2x55kQgunJqunCJHrhWaPzIzCGmXiicjQycW8vbKOH5jB994BNO+R6qGrlr9HgnPZnB6fathRXih6hQ1MShBBdlm3pUimtWA6IJHZj5jdP3/H6+qd8/OEFv//D7/HDH3wf+mj84MUKnWfIB/MFW5/QdYl5v2OeJuh6wvkjwjyyWs1M3EIY+fVv/h/KXDg7u+CgHfdPT+nvPWH71e/MA8MVtITAXArvu0kaN8H2W5DgOTYkkTaNz6etUUhaGYL50deQ2NfAhFIlWZQSUAqFwmGeefriDa9fv+U//OpbPrh/wuN7a/7Lf3jOD6+v+YO/0fG//Z9/wv/4j/4Vv/jmDVO2HrKQ7IR7/RP8ARcB6AjOSaxiU4lDFSMNixx7z4h4L9rSkxiC96ftKtYgRuKtlg5UNTEZFdrwtyN83KJprdal8oJStdh0jqp30VbFdWEtqkVqNYGkUK397MfP8vt6t9ObgYQ9RJuV4Asl0q53B7ppTotGKjauphqkoxgVjmCSn6BupAuiyczHwp25SLtBqo/GyW6kP40j+znz9vKG58+vuN6MfPrRA+6vO4aFeW+V7Q0dM6m7T9Ye6ZaU7Z4874nrc5YEzrQn1jNOTle8evOCmGd+99Vf8ORHf4fddy+4uX5npmeO0aua/Fz8cVWtZo8Uo/GiS/VnDKJKEqfc4dSq5kQF7i5cJwaJTAT2KGNMKImgoWV+5FKYCxxK4WZ7zS+fvePf/vp/5t7JKX/3P/tj/uk/+T/YbQuTa7criohJWo6NWxUKlo+46MUW4njKjg4DVLGiIUqwTka1IqqUQojBCy/xBxNswFmy67AUXMPd4hrHY6LVHPqO0VaNqVXF9OUtkcjZclmL/M40E2GuxSOwejVrAxSadMcuaIsmzTuh/XPw6Crt8AGImuJCmjTaX0PbRhZCNE/WNsRX7WH4TaGkmO5y1ZppziRV7bOGYOqNIh2vLnf8k3/2b3ny6JTvfXjOw0fnPHjwiCWFTkZWw5Ll8hzNE3MN5GzzoOkG0ul9pn3HviTKXEhSebV9wbqOfPP0GU+fPTWdmBd7ZmHkadMxYffXc8m0ViH6WsmHa1TEwNxGCpBjTubIqrPTq0Qm6Zi0o2qkSIAamL0YsMjWzK8qXYA4RJNQZ8uNCIHqDKE+df7atqDFr7jonp4+K9AWOviilEKulSjx6PGumAFs0YJEs6+0DCXYtGYJhGgE3aquisXeT8GIHe1qR4/RTcCdDHHTBvPa02oO3ULEbPOtMLFcuXl2qY3ascdoLckgzMfZn7Y6wd/TJtAc465vbs+VYwQJvkFry4XstcV0UVHMD6DWdkdYnp66RC3leBu0FMEcxoPfCqZzi8c0JzNEOL93wg+/+IwPThOrNLFcndGvz+mXS2K/YBoPhMlsRDUmchYuXz5Hy4HTk4F4/ojn1z3//F/8G65vri3Ht26Sq7/ts6pDU+IpQYjJ1xWvF0A+WqPtpEowi8movBdZ9W6zir9oDVRNHEjMoWNqHki4QlWChXSpRwQBz7lMF2PvF70Iqh5pmrcAUUipsw6T52QxJTP4VXWJg6LNnwghVABTtkYvyJBgNvkIITXXbCG4rY2K5d/J5TSN0K3O6ImuEbP5nD65JBjPNrXBCCn4hBi/DXxztU10TD9juHvwx6vepstUlCr1jmpJM0/LHInB0ootL7SO91lLb+94ww2paLeGWLJs8qHjcAyP0J6VSIzvzcF1h5Ig9DFxvko8XgunXc+uVs4eP+HB44+BkcfnK/a3O9IwcH29Q/Oe29stUw08u9zw/OUV290tdnTdRwubCFn9Bjri3O59EKOJNCXc3SDyyYl4KdUiqC19ihHxLxU8S2rglFn9iA+LC+SQGGWgksi1tVxd4qIut3ADJg3Bw71JXczcwlgzSYK5ZqRgUaTq0a0lhEBwNWj1uagEm0KiIq7lMiBdVI+YZCkQYzSvfn8QEttMzgDV2GC+sziWM7XlwHZYail0IaEhIEG9nIzUaFMHwfKuI+Tlm9Y2qxxhrNJABL1LPOxnoqcH9Vg4ms7N+Wyt4SJHV1U7dlb34efEizCh+eAHsbmkJZc7D9nG7ZDWAAk2olIhSrJik0pWMxxJloMRQ2c6/aAsl6d88OEFqz4xpCUn56dcvn1LCpXnz17zbnNgO8+Uar6pZtkDoVRKsKdsUJ2nR76WZnJsf0FwUxglTcdMzYsVX7AZG9MjPhGm/UhUixLWGBAEY/p3ksk1cYg9s0RycJOKWu6uQrUcql2ndlqq4ZjFyAcVsx8U/+cWMWopBrKHQLa1NA2XGwUU5bgQpbFvBEtP2jX+fmGFbVzxw2AHwQ+KR8UU7iwQF32PVGV+7yCa5skKG/VDrv782gZ0zMoOa7Wfbbd/S3EaF1gxnZu0G6xFD+x2iDFaZOeuKLLrtJoqwXFWPyHHOxF1hac3dGqtx8MsNLjIbq7ccN6azWAkBKZsz92CQWSadozlls1XO/K4YzEsWa1PbdPHxNX1DbkWsprhBiGSXYEqgk80VD/c1pbP1WejqjWUogaHQS1PbWNgjxvx+I/ekpxzNQ/MZvvjy5GCM16qeEsvsxClozJrYF+iqR7FrlwQw/sUqMXGXhelRiF6la3H97ZkX5BjyhEdYxLPLsWrRINavMiq9julEUViImSbOYBDT9Q7bBAgF0sXhADV8l1b3HrMYVOIHmGDj/M2Moh40WS3B8fq/O4Z+j10jKQtt5Y7mbAXSTYO0yp4kUBxDwRasaFttr3t9C6lu3fyAQ4hhvceouf5RZFqHR/DVO0ZxpTsV0P04tMtMQXU28FB3axdElXaFS1IWiJVyWNmLMq4HzlM9lmLQ4khRfpgduclz8RgZnpTtadqSFn1z2A5fBG7PavDaCr21SpqUb0ZQohHqOKVaj1GCSFX7OSGQEqGzwVVzGzZBquKVKJaM68jkHVmlp5ZOrIKVcxMQFShWjV7p+EWd6xpWIA9sCD2e0IrFAqdiA8iwNMSo4pFsRw5dYk5Z8jVIkWEWlrN7gXJsbp23m002Kj4JrbpKXaNVqMKEaIQuuTQmJFdUq3WDnS1QAP8BZtFL+A46533nhVXts2qexxVfEKIBP+ULTKLR+SCRKELwbeaHg9xAPfyaoNCgyFb0bkOrTAp9pxDCsRWdJXsUdmeRyQQJaIhoszkPKKhkMLCulHvYaAAsdrzKCVbEe2Nk1qtgE3B4DzBOoI2ObPZJPmtUGydsx/qLtj8hCTBc3s1cZ+fE49M6rv4vSDr9n9VnEA9VzpPvhWf9Ke2oMcDLUqqM4NmVDobDqEdWZK1KVuQRY/2QcEHLajcIQ/2z3cFgvoVX1zPIyKEGMg+W+mOmmhhNgSzWseNMdSLsKJGrrEcyRdJAh0cfR7MsMueQi2VqO7TJBx7/uDsrODPUBvcI9ZBPcJQHBURYNHScrRixemxbWoFTfsurfAIwaQaLV3S1r6tHsPF5sKWYhQ/CYnQ/gwFqWa5FDn+N/WcSHyzi9+Yxw0kpoAt2UzNuq6z61jiMcWIajMT1Fu5dvgyQSB10W4p9Y0trXIzNUXwwtQYb764Hpiip01aTcGcWsF1rK78Q7fiyTaLpz32g6gqs9slhoBFWPEXan9THIZS0IkBaxFsS6BLHX2M7KqgJBOwBSHbqbA5Rjbc0hJ7N2NrHvXF81q0XeetSraIbIm6bbQYo89/t3uk+m6PfrCKuwjadXxXTdtVbsWW4X6G/VJnr0jNO98KFkUCzPNsc060eLHi+aK3QY3ml32zOkDfStlgHSatmYa5SMuR/TrW9wNBuMuH1V8fddSjKtXtKVv3KwY1hEIckvK8wW4lS1+yFMdcOU5otIUvlHmycxaD2x35zeFQV1FrD1tQqdQyUUvEPAZ8E/r3NjmRYdSTp2sRMPGiMqsaoJKs61e0kKSdSk8B2h6wjee7WmyRxX/On5Al/8VywxjFXavbta1HK07xHHGlmZgigQJFmWZB49ILgXCMSpZKWuVbUaTq8aE5QnqEV9qh8I/E0VZbAlEF0eA220aAQNUILlLJ4h1yQ6vIWsm+gQSPiFWd3WP2ose5XKoohsl2qbM0IXkVTrWN4JE/SDtUVqBWLQ3TthsitnTHumIOuNlma5NBjhW/567+7+2mqWIzQ6NPsAl653hjn71ChRKqsZZqdZ5BoIZAlEQkghR/pmJ1QbRnqfPEnEcifbv1PfUQcPy81Gy1DXaAaXDaewFA1FrgoKRko96La6UkGPZcsQCipc3ghSTvO/C5qKsYz4EoOIDfYA9PbhXrGwtHoLZmh4divNsoQQlSHRayHTWYNwaCcC9FVMwiZ5SeAwuKb0aVI5XWYB0sCgbrf7r/gC9qTGZf4+3HerwC1Bc1OVjvqY1XvMdT16hxCmMpNi6z2uLW9xa7aiVrtCpUBPHBY3maqV7E2XXWocFSlIZNCia78HTXCyMrEiWI56mtTWtRunETWtCo7dD76he9uzEbtFZzE2VaWvZeDLZbKVcmcXw2V1If2lmnuMeq+Yc1EpIc8WDgCA0GMZO8ogZ5CNFTk2rK7hYYupZW2noENQGjqLi7XySlxJRns4HHXr+0mqkYKSppwRNyy01LS/L969lIwPZd7SpxP7kjRihqOUVRmLJ3qSL0wWiCMSWkWkcJVd9Ibhbmmqyoe5bMTNKxlZ5cK9mL2KiCVIvqVjHaaksIVjxocTNY++RVhIjlRtU5iuYkaIIxmw1vD01VCEQydrNEDY2F46/h9Dl37GiIRAOvM1ZgUqygLFWMaNElJGLYqxYrNirej1cTAXp+jYA0OMZrBcGhNKtw37vdnC3sm7StQVTv5QezYepitKEZXngZYuLPv7Z0wKU6BNpY8qoCxZldORNjZ5KekLARQkaUKSV7Lm+EHBBzOhFQmVGxDRm1N+hPxMbeI2b/JBUtpjqIkogx+M1uZhSqZuLryT2p5SK5FMPwxOj/6qe7+AkznoVHl9BewD0Bjle1X2fFuJ0lmg6mi2bkS7JcJBR1I2B1g2DjaQZmes0sNHOQgR0dkzuuWJ7nXSqCeYcGIcRqEIxHlCAu8a2VIDZSpuVHwVtrNn6HO4M3xwu1Fv8OFtHNvFdw03OL7l4XhCBO75M731eM8BtQmGdUA7P4bSJCN/RoKcxl9j6797ERz62tC9aiY+q8k+doR8v17mAo8VgZUIoFDc/diyMbSR0t8eYFIuY6UjHPVPf0tyhuX66qHrm8eZ6sI2hhy1OOdmzajephXQ0tUgnG8gpC1DYu04taWicwUQJUMrmazwLBgprmYvVJy+WpJK8XmD3nMQjCMcoWSVVRw6w8yjrXyfO37GZffRKkE8bsROFq/MhSnQFldB9CFBvwV0yC0Yo4e+hKx0RiZiAxS0/RSJbErIEiiSJiEa3aIsWIFwF6XEwjrtifF61Ez5lnVYs+LTIDwZrotiGc7ifVOmcFNWaStMFkQiRaMUVjMlnEq9rAdAO0RZPlcL5opRiykFKyjYqQ59nySy8GTR8UvIEArQuI+JWqPulO7ogqqKMjLYfXO/wZz31FbJSRTTgRNFia0jalKZbdnqlFI897Jc/Hf/e22vG2LdWrfX+Gtbbr2J5/ODaG7BY1knikYahV7Tk3QrwFrEh0hlwuM1UrKaVIiB35MNp4cP9w7W45biBpJ+ju84qnCtusHObKxemK1bJnGkeQwDiOdGZrTZkzpYhNrhM/gWL9/lbxWYbjbVoqSWc6nVEVNAyM0rOlRzUdWTemO/dcNdh1GoFMy3PUeKJ+3bVDp02W4c4wEv1Bq7OhouW1ejxAvkZB0OiEGTFw2q7s5IwHJ7Q0wkzbCM5XtRxPIaq1YzvzmJXSvOsV6/FDqfH4nLR41AtWcBl0Ze1aaZG12vc1suHdfw8x2dXsXyK74iBjIyhFAhGb02AIlTca1MB5FdfaizHfgge14l2yY6KsSi71bi38pQzSstva0Bn7fCGk42FtPI/GgMtqHUFxKCvNuZIoDNGiRCt67L2d39jCPK0QcKqJCCNCd7pmf73jZj9yeziQ1cJ46n3xktgx8w2rLTcLft1guaNocHjHOaXY5gpREJ1ZUIgyM2EMriIdDewpHkmLWq5oZbZX31WJRDTa9RGcw9mYUrVWM/Nq/wtCdkJI8ILOmg2t6LFI0bpO9jAMpWgkZWMABRv5E5zrW4wyqAE0Z88jK7FLtvGiRTwzN1PiEV/k+PyQZEbJ2KZuV7a6EBO9qx+KmoGy+mctDsbLe7FTCKRoAHs5FsXhrknhPlatqKvNB8IVyeo3kZbqaI01MKKASKSIUsVMLKT4sw82xyCIEEWRriPniVKUFOLRKNrSucCQImksxdzpgkWLGBLN0Fz9TrYlkiPwfty0QNEE0hP6iVoK89QY+5VaJ1aLSMbyNite1PvdRhhOMVpbEnWOqZ3kuVgcq+jRXggghYmoE0tJFHrmENlVK4Za4WBkDesf4zhz9YMf/ClWCiEFs3QUm+qsDq4fcx5ViuBdMJfBqF3BKbS8rRFO2jwD7lh4XuhYoWHQWXHIqxUOuVbIRkCpVDrpkNj52KNCrsW8qIJjwe+lAa3XNVfLW9Wfb/QVKuqHSlznVTJRzKs2V3wcpv17CobS1FLcsdusIkMKLczaI8GjZjXyUHtPY3AGI7i40sHY+wHReHyJIBVK8fqwFTuCSIJoymIJRhMNpSAKY82k5BjdVJRalBQyyXHq6Mz52lSfrkBti44IyyjUOhL7wJirjTfyK8aGtgr7UVgNnVWDYGIuvxLnWsnF5j6FzvToUToap8tQBbu6W/fGGgmZqIWEMBDJYclOIqP1DtHqgjGnz9XgV6MWtAZUbGKetoFfLokJbToMFuHvcqs7zmos4g/T4JoiShed16nmCWtwmkNitrcAJdQAYjiuVogkgng6VDNzsXlfUykkiaQuImk2X1HPTUtpdEW/5lWp2ckkwWAjaGllaGfO8tSGh3ukNt6rXRPa/vk4lrigNToI4lj2saCOvsmC/X8Si4al2CYXM6SIRQnRck8JEYnRBXsOHcIRVYlRjtaTTTsWMPw6UU3cXyUwq7pUxEgAyfHQFO0KK2LdlZYDalGSTlBmZgLb0RZpvUhEgTQM3NzsWUjgvB9gMtzRrkfxrlO7fk1OnFKii5GYoNVvSQ15NXfitjgc9U29KL3esgiJgyRG7SgBJm3k6GKn2hEGEwwG12XZAhWnnLUCQ453BojWu8juALShCm0TqEFBXtx56LGNEISs4tofdfGiL/F7GGu7hmstSMLNMwxiS+JTqCUw12xQG1jEC3aYSnEdmtpnk+i0QxrbC4vuYkB+EVMpHIGvhoyESKmKxOjseusYqhcrUQXpzJD5WLwBec52mD1FEPVrTNRVFUZuaaQhqheq6hO3Hc/XhBVWnvcWLJ1LRK90cepztIczZ6WEwpCsApbQEcW1N/U9VEBBQqVXYe3k5oUI45yJYcWiL6yloPlwbM3W6spWNw0Wv5JVldk5jF0KNqZcXZcUKtF5lLUaxhloSES25LxkVpIYgrvmhcRBAweNvmG9yAh+K1RpX5+j4jO3AkPbrYS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   "source": [
    "d2l.set_figsize()\n",
    "img = image.imread('../img/cat1.jpg')\n",
    "d2l.plt.imshow(img.asnumpy());"
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    "Most image augmentation methods have a certain degree of randomness. To make it easier for us to observe the effect of image augmentation, next we define an auxiliary function `apply`. This function runs the image augmentation method `aug` multiple times on the input image `img` and shows all the results.\n"
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    "def apply(img, aug, num_rows=2, num_cols=4, scale=1.5):\n",
    "    Y = [aug(img) for _ in range(num_rows * num_cols)]\n",
    "    d2l.show_images(Y, num_rows, num_cols, scale=scale)"
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   "source": [
    "### Flipping and Cropping\n"
   ]
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     "mxnet"
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    "[**Flipping the image left and right**] usually does not change the category of the object. \n",
    "This is one of the earliest and most widely used methods of image augmentation.\n",
    "Next, we use the `transforms` module to create the `RandomFlipLeftRight` instance, which flips\n",
    "an image left and right with a 50% chance.\n"
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   "execution_count": 4,
   "metadata": {
    "origin_pos": 11,
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      ],
      "text/plain": [
       "<Figure size 432x216 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "apply(img, gluon.data.vision.transforms.RandomFlipLeftRight())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 13,
    "tab": [
     "mxnet"
    ]
   },
   "source": [
    "[**Flipping up and down**] is not as common as flipping left and right. But at least for this example image, flipping up and down does not hinder recognition.\n",
    "Next, we create a `RandomFlipTopBottom` instance to flip\n",
    "an image up and down with a 50% chance.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "origin_pos": 15,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [
    {
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      ]
     },
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    }
   ],
   "source": [
    "apply(img, gluon.data.vision.transforms.RandomFlipTopBottom())"
   ]
  },
  {
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   "metadata": {
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   "source": [
    "In the example image we used, the cat is in the middle of the image, but this may not be the case in general. \n",
    "In :numref:`sec_pooling`, we explained that the pooling layer can reduce the sensitivity of a convolutional layer to the target position.\n",
    "In addition, we can also randomly crop the image to make objects appear in different positions in the image at different scales, which can also reduce the sensitivity of a model to the target position.\n",
    "\n",
    "In the code below, we [**randomly crop**] an area with an area of $10\\% \\sim 100\\%$ of the original area each time, and the ratio of width to height of this area is randomly selected from $0.5 \\sim 2$. Then, the width and height of the region are both scaled to 200 pixels. \n",
    "Unless otherwise specified, the random number between $a$ and $b$ in this section refers to a continuous value obtained by random and uniform sampling from the interval $[a, b]$.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "origin_pos": 18,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [
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b97jK8+bqwPbyksfvP8d1a6gqhpiJWjGZjr/72W/567/7OS++ui7Em7c0TUu3XpFSYn97S5yWnk7yklz13XjISOFG0QIHrJTyGRCen9ectZkuONZtja8CzntSjO8aaI0z1ltMMNRNx2pzhsbEcThxuLstUEYUX3X40OKNcdhlnuZKfWYcZ3bbjrPdjqu3r3gzTdx9dsPV//EP/PiXl/yn35/4p3/0IddvDF9czZi6pt/0bLZrTscjeZ45W9dYEn3nmeOMdRUaPNN04Pvv9Wy7b/MXP/4Jn395TcqBFCOn/V0huubxHWdutGApowpZEC1p2S7EnEGoEFbBcLEOfPhkgyeSU8KwMJkiVNZSBUecJuLCE8owE7HIpuRI7wOSlZSWA4gRcS3emnvkBmoLYHMWjC+os1utmW9mYobPrke++vMv+L//6jXv/Z//gLeZ73z4Tf7g+9+iMTM671EHH68bttsWNQankYDFOiHnE/H2hnXT86ie+cP3Nuy6ht++GZmmmePhpmCpdxRKqTAOu/RVgluaaZVSwmsjPF0pTx+s8Naw7gJWSguCClYTkpWz7ZZ5nhALxgfiXCpeXTcEa0lkjsfDcgCOlAp95KzDl4FcXsgwlgmFRcWwPx6xlceGhilO+JJBeXsa2H86Yb3n5y9Hfnuo+Df/8k/oN0fUOComnA/4yqJpRgSCr0iHE7U3HO+uuPv8M3oM/+yffMKPqh2//vwNf/vTn/L61dsF1OXiQbjCh2cpnmOUjOIRglN2neG9i5amLkm5rgIOTxyKcVwVsEapaouoJWeDMcUITdOxPjvDYjje3TIOI/PSKs0x8+D8IU8+/ibe6DKuXohEXfqXHBMpZxrTseo3xOktsyQq53AWshTyLYny1z/5BW9vj/zwB9/ge88uaeoJHwRHoWBRw3i4Y//mmnFIfPXZ58xJePTxt3jydEe9OuOjp1sebuDf/92nfP7iiuubG8ilyc0LzVKStuCN0leWi5Xn4/cfUcmMTBP9usVoJstc+CvnaboeZCbNM8E5JFTEOeJDoOtXYCzH44n94cgwzoi11E3D4w+esXv4GG8EX6YbriQ3KVRnFmUYBsQISRLbsx1937Df70lxLkNEpExTJDFI4me//IwvX73h+o9+jz/6ziMerZVaJ6wqw801x9sjV2/esr89Mg4j3dmGR08esG4MniPj7RUPqsQ//9F3+fLqxF/9h59wdbVnnIbiRZqxqqwCnHWBJ492PNj11MEyn0bqxrHe9CRR5rFERNuvaNqadIxoUlwQ0ETtA9YF6nbFPAvDceB4nLDB8+z5M1zVsHv0lPWqIx2u8GqWJIRBZZnBWoPYwr2kceR0e4uva6qmRuZIjrk0Y/fc4TIUvL3L/Nlf/ke+evWMP/n+M94/s3C64fDqKw63J1LKTMNIu1rx/gfPOd/2eJOJ04AMB9ZVoAlC+yCw/uNP+OzVkV9++pLD3QHmG1qb2TWBp8+f8fDZQ4IzzKcDPk90bY2vanQYsWpo2p52tcI7QRyMU2EOKu+ISRHjmVPisL/lNIysVis++PgD2vWW9eUzmraG4Y4ULV4Ajyn89TK+YZnTW+MBGIeBKpfeq21aoo9Mw1j4IFdYM0vpk47HAz/7xefc3e754SdPeL+fubvak+dIsI521XPx5JKLxw9wJiGipDkR6pomWOR0hzseWanwjUc959uPmAXe/uofcPOJtuu4fPyQpu/xVknjgb5r2GxXZIApItbS9S27sw2n/Q2Nd8wiSDQ0qw0yCyFn0ukOI0pwlmfP32d3fk6zXrO7PKdyiquVKd/gCw260AiLkkS1TEgQ864FmOaFs04ZX4V3bKI1ZSpr771RYRxHfvPZkTevX/Kjb17yqK4gJ6yzPH3+lMtnj6nbCiQRc0KT4i1kGZHjNfN+QNRTtxVrJxyz0DeGUDdcvv8hF4+fM8URHQ/UladqDN47PMqkwqqt2GxaDELXNAxppO8aJEWauqLdtkz7PcdDRGzg6bPHPH3vOckHHj95RmgaNqsGFxvmcIsv3LR8zcqZ0gWrLgyLGoxVVBJZDWMWXIxLf2QRWUg2ETBSqtEyrxsQfvXiyOajCy4uNtQB+vNzQt8uhk/M84iZMsPhwP54ZDicUAm4UJHnCZMF5kSeBvrVirZryDkWKY2HqjbUXUcbAuNpT+ocq9WaZ88f8/rqlrrukTSCKjlC13j6bcP1tCe1DSYpl5dbHj05R6s1q1WHt8q6cbRdR9QVXuR+rv87s3xd1B4GjHGlr15mVaBkiYXYN0uYqZZm1ZYqqUYwixGujxN70/Dh88d03uJXK8Q4xjSTxoiOE+P1Lbdvb8jGQgi4qmGehcNwRzaB8XiHlYwzEE8HfFXRVhWqiaap2J7vqB2MrtAvT54/Zb1dsT+eiPOMqwMbb4insXhe5Wi8IdeedR/YrWtqm1ltW2zlCdZwebnFjLcMJ4+/HxYW5qRwK3bRqFmKd+RFV1RGxfkdBWFUkSylj7rvzENDnAd8VeMyjDNcHSLJVaS457e/fEHXNbRtjZeMHA/sr29RY3G+gVCRspKnSIwZdWXoGXyAnJn3t6xWPettyzArVdWw2WzxJMw8MdiB8XDLdtdTeY+miO8aKmOYrSVZYdV3mPMt5jTx/PlTtrs1oenZ9A0uWKyxtHUoI7PG4M19PhKz8MJl4modxUvyjFUF8YV/JpXJqS/eliW/80SDItMRh8FbT5ZIijOHmxvmw56gR/I4c3MYGLuWKlisZKRpCKHCqC0DwyiMMZZjM0LTrDBzIgRogqVxljSdqJsAYojTQLNqsFapg6fxFsfIqg/odMJYg3cerT2XDy+p+p48DzTrDU8+eEa3atidPy99oZYxVBU8tuk5Vrb0bmUyyjumTlE0lTB0wG67YhgmjlNGbSHFZi0VcOMtF2cr1mcbHJZ5nLgbJ2aJpJxwdaBvKvI0E1Y1u7MdLlQl56WpiFFTZB4m4pyZxXBKwiRlfGV8g6sbbE7ofOR0ONJWr+ibB1RNw3AcSFPErlu6vud4N1AFqDSyqQ3X08Bmu0GMoeoaptORuu9ZrTecTicePXnKZtuTxWDUM+73VM7imbFVRdNv8fo7spV7kWg2GdRjVPng0UP+2X/2I453e376j7/k5esbpnliTjNNcPzgw8dcPrzAtTXznIlTom4bsMI4RPbHgYe7TQlDEcTWNE2LlRnbOCROHOaBqJmIkinSHuMVFwKShboOSBVIsUwwxuMt463D67aQaQjDMGAWzcDpOPDgrMLkTGWE090evGez6rFWqZySTSCkhjkZ1g+eIvPA4foa58B7wTuDqTv68AwvOd/rmkrYKEXiB6h1bHdb2q7Gmoof/ZNLjuPM4XDH1evf4A08Pl/hXZlG2L7BVIb1ekMIrgjDTicebHo2m56LbU3fNzhjyckRpwOyKNNi1AUzRaYpsdpsi2oWi6YEOZLjTLNa0beO8TgUZZsqqQ3UZz1ZI1WAlDKn40DTVHS1ZX+YaeqKpnHUtcXoRBLLertimibwLaSZUFk0Oqpg8U2F6x+gOeHLvKl4kCwDL6VIlEWUF1dXnE4DFovRwGbTg87o2PLk6RN0HMjzgXXX8XZ/wIghHg0pVDSrnloSZ9uWvgtYZzkdjiBFN5ki5FFIUTFqcTaXmb46qnaF0YSmMvkVD/Wmp6kqquAYhpHD7YG6tkiqOdzdYlVIc8RKQlLm5mZP4z0pJNra0a8Cm3WPYDmeZhKZ4eY1h7trVl2LMYYQPKGpIdTgK4zv8GWAtQSbye9GQIigVnnz9pqf/N3P+P43n5MxDIfI6XDHg/MHnF885nh3TToIV2+uqJqaJ08vsbbm9jTinKfvepw19Js1mmbiPGDl69yXDWCUNE2M88xxSPh2RQgOZ0CDI84jm21HcI7x9pY4ReqqgEeXE+P1HbWxtI1bOGvDeHcEhGq74pOPf49uu8WYSPCQcajcoUaRfGR8+4J1/w2qtiNbpe56fLUqms884w22qPSNLbMoU5QimPImIobPX7xlOh355JvPmY4Hal/Gv+M8MMwjN599xcPzR5xfPqRrW6aknG9XZG847m85HU9Y/wTvPcwjeThhRMkmY4wSYyTGyBQFdYGqqVCNRUJslKoJrNoOh3CIYwk/TdiFGMMYmGeO00QXDM4EhmHk8nLL2eNz2nUNtkh5mtqi1mFly/F0pO5WyLRHc8TVHb6qMC4U0YckNI+FdDM4MIaMgLWFBRRd5ueZ4+nE4bjn9uaGbz67YLvpaYOyf/U5X33+OZ9sLvj2k49I9YpDSmxXK3yTyd7wZRy4vXrDcDywWXWEqsbmjGpCpkicEznDnIUxCuuzM/pVi3OlJXLO0FYVZ7sNOg/Iqea0HzjbrkAsw3HPfJo47m/puhqw3FzdUQWPrzxN2yKa6ZqWpjGERR0jU6Z6+JCqqrHOIPFIs77EeI/KjGrCiEIaiifpIqLyGDIg5uvRsKjhcDwUlYVrqWvPerPC2DKmCaI8Ot/x2Ytfs33/PVy9Zb0+B3vAhMx203N8rdy8viLYwjG7qiFNI2MOTBIZxTBTQYj44HHeUTlHFQJIeidm6DcrAhlvi8bJGoP3AQ2Fqh2GxO3NHes6oDJhK0PVrwjtpkiZT3tc1+Fcha8CxnlWmy0pjVidwRqM7zFUkAeQCJjCJ90rKTD3SzUFUYsWuR7WgkoZyYhwOp7o+45u22DnEy/3r8F6qnjH2arHmInQVBg/EypP0zbcXd/Srxq6JjCNI2meiyZSTNEGeENb97SrjuBL31QFRxpORVAlmX59xnrV0PUNd9dvSWMkkAhEpjEW8YSxBG/ZbNrCLPQbfLfGSqJyPdZGlICkiBVlOJ2oG0foOmxTgUxlousaNM9gHL7IXkoSFf260kEZ9r3TPhvDOJ6YTifOd1t2ux3Be26vXjCkjDeGHCeMHEnzLfX6AdnMVFWpatNw5PrNFXPfUdcVGIdoBCf4YMnJst6dcbZbE8cJ6wxWMgFBJGFy5HR3w2a9Yr1ZYW3BZMw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      ],
      "text/plain": [
       "<Figure size 432x216 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "shape_aug = gluon.data.vision.transforms.RandomResizedCrop(\n",
    "    (200, 200), scale=(0.1, 1), ratio=(0.5, 2))\n",
    "apply(img, shape_aug)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 20
   },
   "source": [
    "### Changing Colors\n",
    "\n",
    "Another augmentation method is changing colors. We can change four aspects of the image color: brightness, contrast, saturation, and hue. In the example below, we [**randomly change the brightness**] of the image to a value between 50% ($1-0.5$) and 150% ($1+0.5$) of the original image.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "origin_pos": 21,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [
    {
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      ],
      "text/plain": [
       "<Figure size 432x216 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "apply(img, gluon.data.vision.transforms.RandomBrightness(0.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 23
   },
   "source": [
    "Similarly, we can [**randomly change the hue**] of the image.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "origin_pos": 24,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x216 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "apply(img, gluon.data.vision.transforms.RandomHue(0.5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 26
   },
   "source": [
    "We can also create a `RandomColorJitter` instance and set how to [**randomly change the `brightness`, `contrast`, `saturation`, and `hue` of the image at the same time**].\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "origin_pos": 27,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [
    {
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      "text/plain": [
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "color_aug = gluon.data.vision.transforms.RandomColorJitter(\n",
    "    brightness=0.5, contrast=0.5, saturation=0.5, hue=0.5)\n",
    "apply(img, color_aug)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   },
   "source": [
    "### Combining Multiple Image Augmentation Methods\n",
    "\n",
    "In practice, we will [**combine multiple image augmentation methods**]. \n",
    "For example,\n",
    "we can combine the different image augmentation methods defined above and apply them to each image via a `Compose` instance.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "origin_pos": 30,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [
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\" id=\"image0ca965e00e\" transform=\"scale(1 -1)translate(0 -73)\" x=\"98.03913\" y=\"-6.982609\" width=\"73\" height=\"73\"/>\n",
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\" id=\"image3aa09141af\" transform=\"scale(1 -1)translate(0 -73)\" x=\"272.717391\" y=\"-6.982609\" width=\"73\" height=\"73\"/>\n",
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      ]
     },
     "metadata": {
      "needs_background": "light"
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     "output_type": "display_data"
    }
   ],
   "source": [
    "augs = gluon.data.vision.transforms.Compose([\n",
    "    gluon.data.vision.transforms.RandomFlipLeftRight(), color_aug, shape_aug])\n",
    "apply(img, augs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 32
   },
   "source": [
    "## [**Training with Image Augmentation**]\n",
    "\n",
    "Let us train a model with image augmentation.\n",
    "Here we use the CIFAR-10 dataset instead of the Fashion-MNIST dataset that we used before. \n",
    "This is because the position and size of the objects in the Fashion-MNIST dataset have been normalized, while the color and size of the objects in the CIFAR-10 dataset have more significant differences. \n",
    "The first 32 training images in the CIFAR-10 dataset are shown below.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "origin_pos": 33,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [
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   "source": [
    "d2l.show_images(gluon.data.vision.CIFAR10(\n",
    "    train=True)[0:32][0], 4, 8, scale=0.8);"
   ]
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   "metadata": {
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   "source": [
    "In order to obtain definitive results during prediction, we usually only apply image augmentation to training examples, and do not use image augmentation with random operations during prediction. \n",
    "[**Here we only use the simplest random left-right flipping method**]. In addition, we use a `ToTensor` instance to convert a minibatch of images into the format required by the deep learning framework, i.e., \n",
    "32-bit floating point numbers between 0 and 1 with the shape of (batch size, number of channels, height, width).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "origin_pos": 36,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [],
   "source": [
    "train_augs = gluon.data.vision.transforms.Compose([\n",
    "    gluon.data.vision.transforms.RandomFlipLeftRight(),\n",
    "    gluon.data.vision.transforms.ToTensor()])\n",
    "\n",
    "test_augs = gluon.data.vision.transforms.Compose([\n",
    "    gluon.data.vision.transforms.ToTensor()])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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    "tab": [
     "mxnet"
    ]
   },
   "source": [
    "Next, we define an auxiliary function to facilitate reading the image and\n",
    "applying image augmentation. \n",
    "The `transform_first` function provided by Gluon's\n",
    "datasets applies image augmentation to the first element of each training\n",
    "example (image and label), i.e., the image. \n",
    "For\n",
    "a detailed introduction to `DataLoader`, please refer to :numref:`sec_fashion_mnist`.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "origin_pos": 40,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [],
   "source": [
    "def load_cifar10(is_train, augs, batch_size):\n",
    "    return gluon.data.DataLoader(\n",
    "        gluon.data.vision.CIFAR10(train=is_train).transform_first(augs),\n",
    "        batch_size=batch_size, shuffle=is_train,\n",
    "        num_workers=d2l.get_dataloader_workers())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 42
   },
   "source": [
    "### Multi-GPU Training\n",
    "\n",
    "We train the ResNet-18 model from\n",
    ":numref:`sec_resnet` on the\n",
    "CIFAR-10 dataset.\n",
    "Recall the introduction to\n",
    "multi-GPU training in :numref:`sec_multi_gpu_concise`.\n",
    "In the following,\n",
    "[**we define a function to train and evaluate the model using multiple GPUs**].\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "origin_pos": 43,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [],
   "source": [
    "#@save\n",
    "def train_batch_ch13(net, features, labels, loss, trainer, devices,\n",
    "                     split_f=d2l.split_batch):\n",
    "    \"\"\"Train for a minibatch with mutiple GPUs (defined in Chapter 13).\"\"\"\n",
    "    X_shards, y_shards = split_f(features, labels, devices)\n",
    "    with autograd.record():\n",
    "        pred_shards = [net(X_shard) for X_shard in X_shards]\n",
    "        ls = [loss(pred_shard, y_shard) for pred_shard, y_shard\n",
    "              in zip(pred_shards, y_shards)]\n",
    "    for l in ls:\n",
    "        l.backward()\n",
    "    # The `True` flag allows parameters with stale gradients, which is useful\n",
    "    # later (e.g., in fine-tuning BERT)\n",
    "    trainer.step(labels.shape[0], ignore_stale_grad=True)\n",
    "    train_loss_sum = sum([float(l.sum()) for l in ls])\n",
    "    train_acc_sum = sum(d2l.accuracy(pred_shard, y_shard)\n",
    "                        for pred_shard, y_shard in zip(pred_shards, y_shards))\n",
    "    return train_loss_sum, train_acc_sum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "origin_pos": 45,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [],
   "source": [
    "#@save\n",
    "def train_ch13(net, train_iter, test_iter, loss, trainer, num_epochs,\n",
    "               devices=d2l.try_all_gpus(), split_f=d2l.split_batch):\n",
    "    \"\"\"Train a model with mutiple GPUs (defined in Chapter 13).\"\"\"\n",
    "    timer, num_batches = d2l.Timer(), len(train_iter)\n",
    "    animator = d2l.Animator(xlabel='epoch', xlim=[1, num_epochs], ylim=[0, 1],\n",
    "                            legend=['train loss', 'train acc', 'test acc'])\n",
    "    for epoch in range(num_epochs):\n",
    "        # Sum of training loss, sum of training accuracy, no. of examples,\n",
    "        # no. of predictions\n",
    "        metric = d2l.Accumulator(4)\n",
    "        for i, (features, labels) in enumerate(train_iter):\n",
    "            timer.start()\n",
    "            l, acc = train_batch_ch13(\n",
    "                net, features, labels, loss, trainer, devices, split_f)\n",
    "            metric.add(l, acc, labels.shape[0], labels.size)\n",
    "            timer.stop()\n",
    "            if (i + 1) % (num_batches // 5) == 0 or i == num_batches - 1:\n",
    "                animator.add(epoch + (i + 1) / num_batches,\n",
    "                             (metric[0] / metric[2], metric[1] / metric[3],\n",
    "                              None))\n",
    "        test_acc = d2l.evaluate_accuracy_gpus(net, test_iter, split_f)\n",
    "        animator.add(epoch + 1, (None, None, test_acc))\n",
    "    print(f'loss {metric[0] / metric[2]:.3f}, train acc '\n",
    "          f'{metric[1] / metric[3]:.3f}, test acc {test_acc:.3f}')\n",
    "    print(f'{metric[2] * num_epochs / timer.sum():.1f} examples/sec on '\n",
    "          f'{str(devices)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 47
   },
   "source": [
    "Now we can [**define the `train_with_data_aug` function to train the model with image augmentation**].\n",
    "This function gets all available GPUs, \n",
    "uses Adam as the optimization algorithm,\n",
    "applies image augmentation to the training dataset,\n",
    "and finally calls the `train_ch13` function just defined to train and evaluate the model.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "origin_pos": 48,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [],
   "source": [
    "batch_size, devices, net = 256, d2l.try_all_gpus(), d2l.resnet18(10)\n",
    "net.initialize(init=init.Xavier(), ctx=devices)\n",
    "\n",
    "def train_with_data_aug(train_augs, test_augs, net, lr=0.001):\n",
    "    train_iter = load_cifar10(True, train_augs, batch_size)\n",
    "    test_iter = load_cifar10(False, test_augs, batch_size)\n",
    "    loss = gluon.loss.SoftmaxCrossEntropyLoss()\n",
    "    trainer = gluon.Trainer(net.collect_params(), 'adam',\n",
    "                            {'learning_rate': lr})\n",
    "    train_ch13(net, train_iter, test_iter, loss, trainer, 10, devices)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "origin_pos": 50
   },
   "source": [
    "Let us [**train the model**] using image augmentation based on random left-right flipping.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "origin_pos": 51,
    "tab": [
     "mxnet"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
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     "text": [
      "loss 0.162, train acc 0.945, test acc 0.831\n",
      "4424.7 examples/sec on [gpu(0), gpu(1)]\n"
     ]
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    "train_with_data_aug(train_augs, test_augs, net)"
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    "## Summary\n",
    "\n",
    "* Image augmentation generates random images based on existing training data to improve the generalization ability of models.\n",
    "* In order to obtain definitive results during prediction, we usually only apply image augmentation to training examples, and do not use image augmentation with random operations during prediction.\n",
    "* Deep learning frameworks provide many different image augmentation methods, which can be applied simultaneously.\n",
    "\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Train the model without using image augmentation: `train_with_data_aug(test_augs, test_augs)`. Compare training and testing accuracy when using and not using image augmentation. Can this comparative experiment support the argument that image augmentation can mitigate overfitting? Why?\n",
    "1. Combine multiple different image augmentation methods in model training on the CIFAR-10 dataset. Does it improve test accuracy? \n",
    "1. Refer to the online documentation of the deep learning framework. What other image augmentation methods does it also provide?\n"
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     "mxnet"
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   "source": [
    "[Discussions](https://discuss.d2l.ai/t/367)\n"
   ]
  }
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