From f73719970d5eabdd18b00d5bd0d225e4b0f9b91d Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Sun, 30 Nov 2014 15:34:06 -0800 Subject: [PATCH] Expansion of UKF chapter. Wrote several examples. Still more to do. --- .../Unscented_Kalman_Filter.ipynb | 684 +++++++++++++++--- code/book_format.py | 10 +- 2 files changed, 602 insertions(+), 92 deletions(-) diff --git a/10_Unscented_Kalman_Filters/Unscented_Kalman_Filter.ipynb b/10_Unscented_Kalman_Filters/Unscented_Kalman_Filter.ipynb index bc1a674..fc044d9 100644 --- a/10_Unscented_Kalman_Filters/Unscented_Kalman_Filter.ipynb +++ b/10_Unscented_Kalman_Filters/Unscented_Kalman_Filter.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:71b2584db8f7c39febb9622c86c64ba03269b1ec3d1ac8ede348a51a7357cf44" + "signature": "sha256:f640d994c2b3f8b0eec29fa6a65a1916071a1487707aefd49319c2a0b63486fc" }, "nbformat": 3, "nbformat_minor": 0, @@ -261,7 +261,7 @@ "output_type": "pyout", "prompt_number": 1, "text": [ - "" + "" ] } ], @@ -307,9 +307,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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RmD59OgIDA5GXl4fU1FSEhIQgNjZWuJ+tW7diyZIlSElJwVtvvYWUlBTExsbC29u70WOn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\nX7t27Qr7wAAAAMBQGTCGe3p6dN9992n79u2qra1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GEQDD88+jIjERlSEhTfIenCUTgYGB2LNnT43lzsA1IyMDBQUFmD9/PsLDwyGRSPD888/D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\nG7X05ufnKyEhQTExMZo1a5Z27dolSerr61NhYaG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9SMXq4AtYGxKHkd7OmD6sExzMZXt9B5GyYAFMJCfcHS1rtV5PFzuUvHL7GnPz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\n7dSPl12rcSluOYIv/Ud0ILxf/am/unxBDoWHVfTb1zfc36/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X8PuRSwhoVBfje/mhb1svyIw5lzBRKTbARDpMbmIMG4uSIR6Fueqd6RnYoQEG\ndmigeL4x6lqlM3Wc/fch3ujfEqYqfqBa22SjYT07VP1u7URUFRKJBB18XNDBxwV3kp7g/47FYfWB\nf3D230c4++8RONtZ4NWevgjr5gNbC1Ox4xKJrloN8I4dO/D111/j77//xogRI7Bq1SpN5SIikQyv\nwljkO0lPEP/wMfILK55T9u+bj3Dk/B2Uzt1fLEgxoZ8/XmzjpomopAbWbf1X39EKX78Wgk/COmPZ\nzpNYeeASbtxLx9yNp/H99r/xcnATTOjjB4+61mJHJRJNtRpgW1tbvP/++zh8+DCyqzH+kIh0S31H\nK9R3tKp0vZy8QmTnFUL2321c5XI57jx6jAVbziIxJRPvh7aBjbkpICk5m001j3XbcFjKTTCmuy9G\nhfgg6uJdLNt7EdGxiVh58BJWH7qM/i944e2B/vB15wVzZHiq9YkTHBwMADh37hwLKRGV0TPAAz0D\nPBTPS69M3xJ5HgDwxuIIAICxkRR/fNK/9gMaINZtwyOVStC1ZX10bVkflxNSsGzvRWw/fhM7/4rD\nzr/i0KO1O94Z2ErtGw4R6SKNnHIRBEETmyEiPXXtbiq2H78JK8uSu/Ldvp+CsBAf9Gxd0hybyozE\njGeQWLcNk6+7Axa90QXvhbbBz7svYEPkVRw6l4BD5xLQo7U73g9twzPCZBA00gBLJJXPf6oLcxLK\nZCWX5jCr5ulSXl3KCmh/3oLCIqTfSMOlO+lY9X4wXB2tUVCg2s1JxFJ6bPVRZXVb295P2vo+19Vc\nDg4O+HG6Bz5/NQSLt57CTzvP4dC5BBz+OwHDuvjis1GBaFDPrtZziYW5VKPtuaqi1s4Az5kzR/F1\nUFCQ4s9wRKSf1h+OhQAB91MyEXc/HYM7N4W1Dlx9HhUVhejoaACAkZERgoKCRE5UMyqr26zZhsHJ\nzgJfju+Kd4a0wzf/dxy/7j2PjZGXsfXYVbw1sA0+GtlRMdMMkTZSt2bX2hngSZMmKT2v6l22alPp\nbzLamO1ZupQV0K28upQVED9vZk4+5v9xFtbP3EhDEIDQoEbwdbXE8M5esDCTwUwmRUFBgVYfWz8/\nP/j5+QEoObYxMTEiJ6oZldVtbavZYr/Pn0dfchkDmDmsNUZ3bYQFW89h87HrWLTlFH47dAEfDmuL\n4cGNYSSt/jzC+nK8agtzVU7dml2tBri4uBj5+fkoLCxEUVER8vLyYGxsDCMjjucj0ifX7qaWu/xu\ncia2/XlFpmkOAAAgAElEQVQDL3dpgs7NXGs5FamDdZsq4uZohYWvB2Ncz2b47LfjOHXtId5bfgy/\nRVzB/AmB8POsI3ZEIo2o1q9za9euhbm5OebNm4d169ZBLpfjyy+/1FQ2ItICCY8eY/b6k7iemF7m\nkZ1XiI9ebsfmV4ewblNVNPeqg62fvogfJ4fAxd4CF24lo++n2zFnw0lk5+rGGH6iilTrDPDYsWMx\nduxYDUUhIm2xdNd55OYXAQCSMnLwfmgbtPR2FDkVaQLrNlWVRCLBwA4N0L2VO77ZfAYrD1zCz3su\nYM+pOHwzIQhBfvzFl3QXZ54nMiBJGdmIf/C4wnXWRlxB28ZOeOtF31pKRUTazMJMhlmjOmBwx4Z4\nb3k0LiekYsTcvRjXsxlmvtwOclO2EqR7+K4l0mP/d/Qa7qVkKp7H3k5Bv3ZecLSRP/c1o7r5oF0T\n59qIR0Q6xL+BI/bOGYylu85j4bZzWHnwEqIu3sXiN7vCvwH/QkS6hQ0wkY4qLhaQX1iE3PxCAFD8\n92k376cjv7AY4WHtlZZXZeYWIqJnyYylmDq4Nbr5u+OdnyJxPTEdA8J3YMbQAEx+0R9SKWsL6QY2\nwEQ66mJ8Mqb8dBR1bC0BAIWFBejUrB7kJv/739rGwhR1rOVseIlIo5p71cG+Lwbj602n8eu+WMzb\ndAYnLt/H4kld4GhjLnY8okqxASbSUYfOJcC9rhVMTErm372XnIuRXZrCtY6lyMmIyBCYmRgjPKwD\ngpu7YcrPRxEdm4geH23F4kldeYEcab3qz2pNRDUuKSMbj9KVHw/SsuBibwEXB0u82KEx9s4ZzOaX\niGpd15b1cfCrIejg44KkjByM/HovFm07h+Liyu8SSyQWngEm0nLnbjzCom3n0L2Vu9LyFl4lE9Jb\nWlqidSMnMaIREQEAnO0ssHFmXyza9jcWbjuH+X+cxfm4JHz/RhfY6MAt0MnwVPsM8N27d9GlSxdY\nWFggICAAly5d0kQuIvrPkfN3UN/RCkkZOYrH/dQsjO7ui9HdffFav1bwb8hZG6hqWLOpphhJpXj3\npQCsndEbNuYmOHQuAX0/3Y6rd8q/kySRmKrdAE+cOBEtWrRAamoqhg8fjuHDh2siF5HBuZ+ahX8T\n08o8rt5Jhb2VmdK6RlKOXiL1sGZTTQvxr499Xw6Gr7s94h8+Rv/Pd2DPqVtixyJSUq0hEI8fP8ah\nQ4ewfPlymJqaYurUqZgzZw5iY2Ph5+enqYxEBmHBlrPwcraGWx0rpeVTB7eCn2cdkVKRPmHNptri\nUdcaO8MH4v0Vx7D1zxuY+P1hTB/SGl9M6MGp0kgrVOs00o0bN2BmZgYLCwsEBgbi1q1baNCgAa5e\nvaqpfEQGY1Q3HyRl5GBghwZKDza/pCms2VSb5KbGWPxmF3w68gVIJRJ8t/UcRnyxDZk5+WJHI6re\nGeCsrCxYWlriyZMnuHLlCtLS0mBlZYWsrKwy6zo4OFRnV7VCJpMBYNaaoEt5azrrlB8O4ua9NMVz\nZ3sLeDjZAABaN6mv8n55bGtOaV59oUrNrueqndNY1RM7wHMw1/PN/u8BADgKRK9tBqeYCHg624oX\n6hnaWpuYSzWq1OxqNcAWFhbIzMyEm5sbkpOTAQBPnjyBpWXZqZjmzJmj+DooKAjBwcHV2TWRzprQ\n1x8PUv93e+KY2Lv4dFSgiInoaVFRUYiOjgYAGBkZISgoSOREmqNKzSaqKUF3L6HulLXY+NkQdGzm\nJnYc0nHq1myJIAhqT9T3+PFj2Nvb4/bt23B1dUV+fj4cHBxw4sQJpfFkERER8PHxUXc3tab0N5mU\nlBSRk1ROl7ICupW3prMWFhWj+Kn/7T5YEYO6tiV3TsovKEJnv3ro5u/+vJeXwWNbcxwcHBATE4Nu\n3bqJHUUjdLlma+t7h7lUU/qXBUmXcJgYS/HNhECEBjYWOZX2Hi/mUo0qNbtaY4Ctra3Rq1cvfP31\n18jNzcXChQvh4eHBiymIKjB342lM/TkKP++5gJ/3XICXszUszIxhYWYMOytTONtZiB2R9BRrNmmL\nV3v6Ir+wGFN/jsJX/3eKN82gWlftG2H88ssvCAsLg729PXx8fLBx40ZN5CLSO8v3xyIjKw9pmblw\nsbfAOwNbiR2JDBBrNmmDL8Z0QmNXO3yy5jiW7voHN++nY/GbXWFhpl/j7kl7VbsBdnNzw9GjRzUQ\nhUi/Pc7KAwC4OlhCbmKM5IwcxfcszGSQm/LGjFTzWLNJW4zu7gtPZxu88f1h7D9zG4Nm7cTqd3vx\nlu5UK/iJS1RLpr8UoPh6zeHL2P3fxPDZuQW4m5yJr17tJFY0IiJRBPm5YuesgRi74AAuJ6Si32fb\nsWJaDwTw9u5Uw3g7KSIRjOnui7E9fJGWmYvM3AIkZWSLHYmISBQN69li16yB6NSsHpIychD65R78\ncexfsWORnuMZYCIRTPslCmYmRvD3dsTw4CZixyEiEpWdpRnWv98Hn/92AmsOX8aUn4/i6p1UfPRy\nW976nWoE31VEtSgpIxurD15CRlYezE1lbH6JiP4jM5biq1c7Ye6rnWBsJMFPey5g7IKDyPjv+gki\nTWIDTFSLUh7n4tT1h3BztML0Ia3FjkNEpHVGd/fF7x/2hZ2lKY6cv4N+n23HtbupYsciPcMGmKiG\nJTx6jLd/jMSCLWex59QtNHCxgbezDaf7ISJ6jo6+9bB3ziD4utvj1oPH6P/ZDuw+GSd2LNIjajfA\n165dQ+/evWFnZwcvLy9NZiLSK7/svYi0J7kwNpIqHhlZefh++99Kj7gHGWJHJT3Gmk26xr2uNXaG\nD8Tgjg2QnVeI1xdH4Kv/O4XComKxo5EeULsBlslkGDlyJObPn6/JPER6Z/boDlj1bi8YG0mQlVtQ\n5pGdV4jkjBykPskVOyrpMdZs0kVyU2MsmdQV4WHtYSSVYOmufzD8qz14kJYldjTScWo3wN7e3hg9\nejQ8PT01GIdI/xhJpZAZS+HtbAO5qbHSI/lxDrydbTBnTEe04byXVINYs0lXSSQSvNanOTbO7Acn\nW3P8dfUBes7ciqgLd8WORjqM06AR1ZI+bb3Qp63yn56fZOdj+rIo2FmZomdrD5GSERFpvw4+Ljjw\n1WC8/eNRHItNxCvf7MPkAf54d0gAZMa8pIlUw3cMkYj2nr4FB2s54u5nIPVJrtIjN79Q7HhERFrF\n0cYc6z/ojRlDAyCBBEt2nMfAWTtw41662NFIx1R4Bjg8PByzZ88us3zQoEHYunWrSjtycHBQLZkI\nZLKSq/KZVfN0KW9tZm3f3BsSY1MAwOELDxTLU5/kIDe/CHNeDa50Gzy2Nac0r67Q55qtre8d5lJP\ndXN9MaEHer3QBOPm78Y/ccno/ck2fD0hBBP7t4JEIlF5e9p6vJhLNarUbIkgCEJ1dnb48GG89tpr\nuHXr1nPXiYiIQGRkpOJ5UFAQgoMr/2CvbaUHrqCgQOQkldOlrIBu5RUr68W4R9gUdQUmxlIUFBUj\nJSMHS6f0rvR1PLaaFRUVhejoaACAkZERgoKC0K1bN5FTaY6u1mxtfe8wl2pMzcwAAHm5mrnoNyMr\nF9N+PIQNEZcAAN1ae+KHd3rDy9lWpe1o6/FirsqpW7OrNQY4NzcXBQUFEAQBeXl5kEgkMDExKXfd\nSZMmKT1PSUmpzq5rROlvMtqY7Vm6lBXQrbxiZU1LT0dOdjaKZEYAABu5FEM+/T/MGBoARxtz2FuZ\nlfs6HlvN8vPzg5+fH4CSvDExMSIn0hxdrtna+t5hLtXU+++/msw1f1xHBDVzxocrYxBxLh6tX1+O\n94YGYHwvPxgbVW2kp7YeL+aqnLo1W+0GOD4+Ht7e3gBKrtCUy+Xo0qULjhw5ou4miQxaMw8HNPNQ\n/nPStbupiI1PwY4Tp9CtlXu5r3NxtMeIkGa1EZF0GGs26bMXX/BGh6Yu+Py3E9h+4iZmrz+J7cdv\n4utxndHS21HseKSF1G6APT09UVzMyaiJalITN3s0cbNHcHM3CBCwJeYG4h8+Vlrn8p0MNsBUKdZs\n0nd1bORYOjkEQzo3xIcrY3DhVjL6fbYdw4Ia48NhbVHX1lzsiKRFOA0akQ6oYyMHAHg72yArV3nM\nlVwux5zfjiHxURpCAxsDABq72sKct1omIgPUzd8dkfOGYtG2v7F8fyw2Rl3H7pO38M5Af4zv7Qe5\nCVsfYgNMpFN6BnigZ4DyfMGlY7E2Hv4byY9zcP5mEjZFX4eLvQUAYHDHBnBztKr1rEREYrGUm+CT\nkS/glZCmmLPhJA6cvY25G09j5YFLeGegP0Z0bQrT/663IMPEBphIT3T/b4xw15ZuKCwqmdzlckIK\nftl7EbaWpkrr2luZYWwPX7WmCyIi0hVezjZYOb0nomMT8dXvp3AxPhkfrzmOH3dfwJRBrTA0sBEb\nYQPFBphIzxhJpSi98LlVg7po1aBumXXGLzwItzqWisIvMzZCBx+X2oxJRFRrgvxcEfjFIOw/E49v\n/ziLq3fT8P6KY1iw5SzG9WqGKaGdYGtZ/kw7pJ/YABPpuT8v3cOJK/fx9MleO0szrDhwSfE8K7cA\nu2YNFCEdEVHtkEgk6NPWC70CPLHrZByW7DyPKwmpmLvxNJbs/Aev9m6B0E5eaOCi2hzCpJvYABPp\nufSsPAgQIMH/OmAXewu42FugWBDwIDULCyZq341piIhqglQqwcAODTCgvTeiLybix93/IObSPSzZ\ndgZLtp1BoJ8rxnT3QY/WHlWeR5h0DxtgIj3Xr50X+rXzKrP89LUHuHE/HfdTs0RIRUQkLolEguAW\nbghu4YY7aQX4Zfff+P1ILI7FJuJYbCLq2soRGtgYw4Iao2E9nhXWN9VqgL/55hssX74cDx48gIeH\nB7788ksMGDBAU9mIqBpu3k/HpqjrMHnOBR7xDx/j7QH+6N3Gs3aDkWhYs4nK59/QGT9N7YMZQ1ri\nj2P/Yu3hy7h5PwNLd/2Dpbv+QdvGTggNbIwX23vD2rz8uyeSbqlWAyyTybBt2zY0a9YMx48fR58+\nfXD+/Hl4eZU920REz3c36QmKBKHK6y/fF6uY2UEuL5kjOCcnR2md3PxChAY2RmM3O80FJZ3Gmk1U\nMVsLU0zo7YfxvZrhzL+PsDHqGnb+FYfT1x/i9PWH+GztcfQM8MDQwEYIbu7GIRI6rFoN8LRp0xRf\nd+zYEd7e3jh37hyLKem92PgUnI97pLHtHTl/B33aelZ5/cDmrujZumQ+YG26JztpN9ZsoqqRSCRo\n29gJbRs7YdaoDthz6hb+iPkXxy/fw86/4rDzrzjUtZXjpU6NEBrUCE3c7MWOTCrS2BjgtLQ0XL9+\nHX5+fpraJFGNe5Kdj3mbT8PuqelvnndG9Wk37qVj5svtIDPWzG//L77gDRsL08pXJNIQ1myiqrEw\nk2FYUMlY4MTkTGz98wY2HbuOuPsZ+GnPBfy05wL8vR0xsmtTDOrYABa8C6dOkAiCCn93rcCwYcPg\n6OiIpUuXlvleREQEOnfurInd1CiZrORNW1BQUMma4tOlrMDz8yZnZCPh0eMqbyd8TTTaNtHcfLXF\ngoCQVp4IbO6uWKYvx1Yb6VJWoCRvZGQkunXrJnYUjdO1mq2t7x3mUo2pWcnJhrzcXJGTKFP1eAmC\ngJNX7uG3QxexOeoKHmfnASi5A93LXX0xsX8rtPB2qvVctUWbc1W1ZlfaAIeHh2P27Nlllg8aNAhb\nt24FAMycOROnT5/Gvn37YGxc9qRyREQEIiMjFc+DgoIQHKx90y5p6z9oebQh6+Ktp5BfWFyldY2k\nJWdKi4qV1z97/T56tfWGo415lbbT0NUeTeo7qBZURdpwbFWhS3l1IWtUVBSio6MBAEZGRggKCtKp\nBlhfa7a2vneYSzX60gA/LSevAFuPXcPyvedx4vJdxfIu/h6YOqQderbxhlSq3l03tfXfUZtyqVuz\nq30GeOHChdiwYQOOHj0KCwuLcteJiIiAj49PdXZTK3RpLKWms364MgaONnKVXmNrYYqRIU2rtK6D\nfcn4qJTU1DLfMzU2Urs41ARdeh8AupVXl7ICJXljYmJ0qgGujK7WbG197zCXauq5ugIA7iUmipxE\nmaaO17W7qVgXcRUbo68jK7ekOWxUzxZv9m+Jlzo3VPmiOW39d9TmXFWt2dUaA7xmzRr88ssvOHbs\n2HMLKWne8cv3YGH5BADw+HH5wwdOXLmP9Mw8OFhX7daOvdt4oEuL+hrL+Cy5aclvi3ITTj1NJBbW\nbKKa1cTNHnPGdMSMoQHYEHkVKw5cwr/30jF9WRR+2HUe7w5pjQHtG2jVSR9DVa1uZNasWbh//z68\nvb0Vyz7++GN8+OGH1Q5mSKIu3MWZfx9Wef27yZmYOKAtAMDkORdhBTd3RQsvR8hN2XASUQnWbKLa\nYWNhijf7t8SE3s2x/cQNLNr2N+LuZ+CtpZFYvOM8PhnxAkL8a+6kE1WuWt1RXFycpnLolcKiYsWf\nPp42Z8NJuNiXPevyKD0b88YHqrSP//35oWpjZ4mIWLOJapfMWIrQwMYY1KEh/oi5joVb/8a1u2kY\nNX8/egV4YNaoDqjvaCV2TIPE04MqunonFTfupVe4zq0Hj3En6QkauSrfOnFghwYI9HOtyXhERESk\nZWTGUozo0hRDOjXCqoOX8N3Wczhw9jaiLtzF5AH+mPRiS5g+566dVDPYAFfR5YQU7PwrDlcSUvHR\n8LYVrtuwni3c6ljCUs7bJRIREVEJU5kR3ujXAoM6NsCc9Sex/cRNfLvlLPacvoUlb3aFjztvqFFb\n2AADeJiWjfzCIjwpKPntKz39CX7dd1HpxgTZeYUY090H7nWtxYpJREREesDZzgJLJ4fglZCmeG/5\nMVxJSEXfT7fhg2FtMbFPc14kVwsMsgGOunAXiSmZiueHziWgdxtPWFqWzKiQmZmFzs1c0TPAQ6yI\nREREpOc6+tbDwa+GYNb6v7D+yFXM2XASh/9OwNK3QuBkx2t8apLBNMD7Tt/CpdupkEiAh+nZmDqo\nleJ7vQI84GAt19p57YiIiEg/WZjJ8M34QPRo5Y73lh/DiSv30ffTbVg2pTt6OtTsjZ8MmV41wLHx\nKQDK3tcjNj4Ff16+h4WvB6s8CTURERFRTevR2gOH5jri9e8jcPLaAwz9YjcWvVWAcX1aih1NL+lV\nN/jznn+QmJxZ5mFnaYpZozqw+SUiIiKt5Whjjo0z++HVnr7ILyzGpO/3YcoPB1FYVCx2NL2jdke4\ncOFCeHt7w9raGh4eHvjqq680mUslczeexoItZ9HMwwG92niW+7C3qtod0YiI9JU21W0iKp/MWIov\nxnTCdxODYSozwi+7z+H1xYeRk18odjS9ovYQiP79++PVV1+Fra0tEhIS0L59e7Rt2xY9evTQZL5y\nJWVk4/rddCzfHws/Twf4uttjYIcGNb5fIiJdJmbdJiLVDA9uDP8m9THk883Yf+Y2wubtw8rpPZVm\nqCL1qd0AN2rUSPF1Xl4eAMDKqmbvZrJ013nk5hfh2t009GztgfdCA+DrzgHiRERVIUbdJiL1dWzm\nhiPfhqHvR/+Hv64+wEtf7Mb69/twhggNqNag2A0bNsDS0hJNmzbFRx99hPbt22sqV7ni7megVYO6\nWDalO4YGNmLzS0Skotqu20RUPb6ejtgZPgANXGxwJSEVQ+bswv3ULLFj6TyJIAhlp01Q0bFjxzB0\n6FAcPHgQLVuWvVoxIiICnTt3ru5u8Nuhi1gfEYv9X4+o9rbKI5PJAAAFBQU1sn1N0qWsgG7l1aWs\ngG7l1aWsQEneyMhIdOvWTewoGldR3dZUzdYkbX3vMJdqTM1KrsfJy80VOYkybT1eT+dKzsjGix9v\nxN83HqKRqz0OfjMSLg6WoufSJqrU7AqHQISHh2P27Nlllg8aNAhbt25VPA8MDMSQIUOwbt26chtg\nAJgzZ47i66CgIAQHB1ca7vqdFPx2OBYmxiUnqlMe52DJ5F6Vvo6ISF1RUVGIjo4GABgZGSEoKEjk\nRKrRVN1Wp2YTUc2pY2OOPXNfRp8Pf8c/Nx+h94e/4+A3I+FkZyF2NFGpW7M1cgYYAF5//XVYW1tj\n/vz5Zb4XEREBHx8flbb3MC0bX208hckvtkQjVztNRKyULt0IQ5eyArqVV5eyArqVV5eyAiV5Y2Ji\n9PIMMPD8uq1Oza5p2vreYS7V1HN1BQDcS0wUOYkybT1e5eVKfZKLYV/uwZU7qWjsaovNH/dHHRu5\n6Lm0gSo1W+0xwIsXL0ZiYiIEQcCJEyewceNG9O7dW93NlfH64sMIaVm/1ppfIiJ9V9N1m4hqnr2V\nGTbO7Ismbna4npiOUfP3IytXu4Yi6AK1G+ALFy7ghRdegJWVFcaMGYP58+dr5CxJYnImZq//CzYW\nppzajIhIg2qqbhNR7XKwlmPjzL7wdLLGhVvJeG3RIeQXFokdS6eoPQ3a8uXLNZkDj7PzcSfpCS4n\npCC4uRs+e4VXJhMRaZKm6zYRicfRxhzrP+iDgeE7EXUxETN+jcb3b3SBRCIRO5pO0Jp7Ax+LTcTW\nP2/A0kyG5l51xI5DREREpNU8nayx9r1eMDc1xpaYG5i78bTYkXSG1jTAJ689QJcWbujT1ou3LSYi\nIiKqgpbejvh1ancYG0mwdNc/WHP4stiRdILWNMD3U7LY+BIRERGpqEuL+pg/oWT6r0/XHEfMJe2a\nZUMbid4AR8cmYsGWs7A2l2HHiZtixyEiIiLSOcOCGmPyiy1RVCzg9e8jEPcgQ+xIWk3ti+A0Ib+w\nCD/v/gcbPuwrZgwiIiIinffBsLa4npiOg+duY+y3B7Br1kDYWJiKHUsriXoG+Oc9F9Dckxe8ERER\nEVWXVCrBkkld4FPfHjfvZ+DNJREoLCoWO5ZWEq0B/uPYv7iXkoUnOZy8mYiIiEgTLOUmWPVuTzhY\nmyHqYiLmbeLMEOWpdgOclpYGR0dHjBo1SqXXpWbm4nF2PnoGuFc3AhERVZG6NZuIdEd9Rysse6c7\njKQS/Lj7AvacuiV2JK1T7QZ45syZ8Pb2Vnni5bo2cjxKz4a3s011I2jUlStXxI5QZbqUFdCtvLqU\nFdCtvLqUVR+pW7O1gba+d5hLP2jr8VI3V3sfF3w68gUAwLRfonD9bpomY2nt8aqqajXAZ8+eRXx8\nPPr27QtBEFR6rYWZDPZWZnCva12dCBqnS/+gupQV0K28upQV0K28upRV31SnZmsDbX3vMJd+0Nbj\nVZ1cE3r7YWCHBsjKLcD4RYfwJDtfK3JpA7UbYEEQMGXKFCxYsECtQrr1zxv4ZkKgursnIiIVVLdm\nE5HukUgk+HZCIJq62SHufgam/RLF////o/Y0aCtWrECLFi3g6+tbpT+lOTg4KL7+dc/fkBoZo4F7\nPXV3XyNkMhlCQkJga2srdpRK6VJWQLfy6lJWQLfy6lJWoCSvvqhOzdYG2vreYS718P1VNZrI5QBg\ny+xh6Pj2auw7E491UTcx9aUXRM9VE1Sp2RU2wOHh4Zg9e3aZ5V26dEFCQgJOnDgBAFX6bSImJkbx\ntY8N4NO1rtIyIiKqnpqq2UQac/hwyX/5/qp1W6a1/e+rAv7/DUAiqHEu/J9//kGrVq3KLPf398e5\nc+c0EoyIiDSDNZuISJlaDfCzZs2ahZs3b2Lt2rWayERERDWINZuIDJ2od4IjIiIiIqptGjkDTERE\nRESkK3gGmIiIiIgMChtgIiIiIjIoas8DTERE+i0zMxNTpkyBv78/3n77bbHjYPfu3di/fz+ePHkC\nCwsLdO/eHUOGDBE7Fnbs2IEjR44gPT0dderUwYgRI9CmTRuxY+HevXtYtWoVbty4AXNzcyxdulTU\nPCkpKViyZAlu3ryJevXqYfLkyahfv76omU6fPo3t27cjPj4enTp1wqRJk0TNU6qoqAg//fQTLl68\niLy8PHh5eWH8+PFwc3MTOxoWL16M2NhY5OXloW7duhg+fLhWvN9LXblyBeHh4Xj99dcREhLy3PV4\nBpiIiMr1+++/w8nJqUo3zqgNAQEBmDdvHtasWYPZs2fjwIEDuHDhgtixYGRkhBkzZmDNmjWYOHEi\nlixZgkePHokdC0ZGRujcuTPCwsLEjgIAWLZsGdzd3bFy5Up07NgRixYtEjsSLCwsMHDgQHTt2lXs\nKEqKi4vh7OyMuXPnYvXq1WjTpg3mz58vdiwAwMCBA7F06VKsWbMGo0aNwnfffYe8vDyxYwEo+cVh\nw4YNcHV1rXRdNsBERFRGXFwckpKS0KpVK625daqLiwssLCwAAAUFBQAAMzMzMSMBAPr37684k9mk\nSRM4OTkhLi5O5FSAk5MTgoOD4ejoKHYUZGdn48KFCxg0aBBkMhn69euHpKQkJCQkiJrL19cX7dq1\ng6Wlpag5niWTyTB06FDY29sDKLmZzYMHD/DkyRORkwEeHh6QyWQQBAGFhYUwMzPTml+S9+3bh9at\nW8PGxqbSddkAExGREkEQsGrVKowePVprmt9SMTExGDVqFKZOnYpBgwahcePGYkdSkpmZifv378Pd\n3V3sKFrlwYMHkMlkMDMzw2effYZHjx7ByckJ9+7dEzuaTrh+/Trs7e1hZWUldhQAwPLlyxEWFoYl\nS5bggw8+gImJidiRkJ6ejqioKPTv379K67MBJiIiJUeOHIGHhwfc3Ny05sxOqc6dO+O3335DeHg4\ntm7divj4eLEjKVm2bBmCg4NRr149saNolby8PJiZmSEnJweJiYnIzMyEXC5Hbm6u2NG0XnZ2Nlav\nXo3Ro0eLHUVhwoQJWLt2LYYPH44lS5YgPz9f7EhYu3YtBg8eDJlMVqX1eREcEZEB2rRpE7Zs2VJm\nua+vL5KTk/Hll18CQK2fAX5errZt22LGjBmK5z4+PmjXrh2OHTsGT09Prci1YcMGZGVlYcqUKTWe\nR5Vc2sDU1BS5ublwcHDAihUrAAA5OTlaMYRFmxUUFGD+/Pno1KkTOnToIHYcJUZGRujduzcOHDiA\n2CUWh8YAACAASURBVNhYtG7dWrQsV69eRVJSEjp27Fjl17ABJiIyQMOGDcOwYcPKLI+Pj8cHH3yA\n1157TWn53bt3MW/ePNFylac2m/PKcu3evRsXL17E559/DiMjI63JpS2cnZ2Rn5+P1NRU2Nvbo7Cw\nEA8fPuSZ8goUFxfj+++/h4uLi1b/G2vDMKm4uDhcv34dw4cPVyy7fPky7ty5gzFjxpT7GjbARESk\n4OnpiY0bNyqeb968GQ8fPsTkyZNFTFVi7969aN++Pezs7PDvv//i+PHjePfdd8WOhaNHj+Lw4cOY\nPXu21p3RzM/PR1FREYCSs4kSiQTGxrX/0W9ubo6WLVti+/btCAsLw969e+Ho6Cj6WOni4mIUFhai\nuLgYxcXFKCgogJGREaRS8UeILlu2DBKJBBMmTBA7ikJ6ejrOnTuH9u3bw9TUFEeOHEFGRoboY/H7\n9u2Lvn37Kp7PmjULgYGBFU6DxgaYiIh0QkJCAnbu3ImsrCzY29sjLCwMzZs3FzsW/vjjD6SlpSn9\nkjBkyBAMGjRIxFTAo0ePlOZvDgsLg6+vLz7//HNR8pROETdu3Di4urpi6tSpouR4WnR0NH766SfF\n82PHjiE0NBRDhw4VMRWQlJSEyMhImJiYYOzYsYrlM2fORNOmTUXLJZVKERMTg/Xr16OwsBBubm74\n4IMPtG4WjaqQCNpw7pqIiIiIqJaIf46fiIiIiKgWsQEmIiIiIoPCBpiIiIiIDAobYCIiIiIyKGyA\niYiIiMigsAEmIiIiIoPCBpiIiIiIDAobYCIiIiIyKGyAiYiIiMigsAEmIiIiIoPCBpiIiIiIDAob\nYCIiIiIyKGyAiYiIiMigsAEmIiIiIoPCBpiIiIiIDAobYCIiIiIyKGyAiYiIiMigsAEmIiIiIoPC\nBpiIiIiIDAobYCIiIiIyKGyAiYiIiMigsAEmIiIiIoPCBpiIiIiIDAobYCIiIiIyKGyAiYiIiMig\nsAEmIiIiIoPCBpiIiIiIDAobYCIiIiIyKGyAiYiIiMigsAEmIiIiIoPCBpiIiIiIDAobYCIiIirX\n6tWrIZVKkZCQIHYUIo1iA0xERETPJZFIxI7wXIsWLcKOHTvEjkE6SCIIgiB2CCIiItI+xcXFKCws\nhImJidhRyuXp6YmQkBCsXLlS7CikY3gGmIiIiMollUq1tvktxfN4pA42wERERKTEz88PUqlU8Shv\nDLBUKsWsWbPw7bffon79+rC1tcXgwYORkpKitN7YsWPh5eWFvXv3wtfXF3K5HP7+/ti3b5/SekeP\nHoVUKkV0dHS5ry9VOi65NNeaNWuUsj77eqLyGIsdgIiIiLTLvHnzkJGRgejoaCxbtuy5623YsAF2\ndnb48MMPER8fj0WLFmHixInYsmWLYh2JRIKUlBS88sorePPNN+Hs7Ixff/0VAwcORFRUFDp06FBp\nnqfHIQcHB2PdunUQBAHTpk2Dr68vJk6cqPh+06ZN1fypyZCwASYiIiIl/fr1AwDk5+dX2ABnZWXh\n4sWLimESaWlpWLduHYqLiyGVlvyRWRAEZGZm4tdff8X48eMBAK+88go8PDwwa9Ys7N+/v9I8Tw9z\n8PLyUpwR/uSTT+Dt7Y2RI0eq94OSweIQCCIiIlJLv379lMYIt2rVCvn5+Xj06JHSelKpVKlJdXBw\nQK9evRAdHY3i4uJay0tUig0wERERqcXFxUXpuYWFBYCSM8dPc3BwgFwuV1pWv3595ObmIjk5uWZD\nEpWDDTARERGppXSYQ2UqmqnB1NS0wtcWFRWplImoKtgAExERUY1KSUlBTk6O0rKEhARYW1vDxsYG\nABRDKbKzs5XWu3fv3nNvxqHNN+kg7cYGmIiIiGqUIAhYv3694nlycjIOHDjw/+3deXzU9b3v8fdk\nMtlDloHs7AECBsSwg05UrFpKC7geW1xasT3l2ooVr73e0+NCq8fjclRKbcWqaNW6gGi5uJSACRFU\nFjEgYQ0xIUASJgvZt5n7B5IaQUiU5PubzOv5V2aYybxmEh755Jvv/H666KKL2q9LSUmRJH3yySft\n1xUXFys3N/cbP29kZKQOHTrUDcXo7TgKBAAAaJeXl6e8vDxJ0saNGyVJb775ppxOpyTp0ksvVVxc\nXJc+Z0REhO68804VFBQoPj5eS5cuVUtLi+6+++722wwYMEBjxozRQw89pKamJkVEROjZZ59Vamrq\nSavCJ0ybNk1Lly7VAw88oHPPPVd2u12TJk1STEzMt3nq8CMMwAAAoN2bb76p++67r/2yzWbT7bff\n3v7xunXrTjsAn2pbgtPp1JIlS7Rw4UIVFBQoLS1NK1as0IQJEzrcbsWKFbr55pv15JNPKiUlRQ88\n8IBWr16t7OzsUz7W73//e7ndbj3yyCOqqqpq73O5XN/mqcOP2LycQxAAAHSTm266SdnZ2Tpw4IDp\nFKAde4ABAEC34s1qsBoGYAAA0K34YzOshgEYAAB0G5vNxgowLIc9wAAAAPArHAUCANBBVlaW6QQA\n+NamT59+xtswAAMATjJy5EjTCR04nU6tWLFCmZmZplM6oKtr6OoaurrG6XSe9sQpX8UeYAAAAPgV\nBmAAAAD4FQZgAIBPsNq2jBPo6hq6uoau7sEADADwCVb9gUtX19DVNXR1DwZgAAAA+BUGYAAAAPgV\nBmAAAAD4FQZgAAAA+BUGYAAAAPgVBmAAAAD4FQZgAADQY4rKqvX8+58rv6jCdAr8WKDpAAAA0Dus\n+HCfPB6vrrpgmIrKjun19XuVOSZF+0qqFBBg0y/nTNHuIrciQoO0cuN+RYUHKckZofLqelXXNcsR\nGKC+fUIVHuIw/VTQyzEAAwCAs2J3cYW8knYfrNDy3H0aPyxeW/eVyX2sUTabVF3XqNKqOiU5wxUa\nHKhn3/tc//HjSXpxTb6GJEapqq5Z2w+Ua+zQOF0/3bdPtABrYwAGAABnRZDDLkla99lBzZmaqrjo\nUK36pEDDk2PULypU/+eZdRo3PFHDh/RV36hQ7Smp1KPLt6iusUWzpgyVzWaTJD26fIvJpwE/wAAM\nAADOmpY2j47VN6t/vwhFhAbpyV9e1P5v851OSZLb7ZYk3T4nw0gjwJvgAADAWeNKT1b/fhHtq8Hf\nRt6Bo3r8za36y+q8s1gG/AsrwACAkzi/XKmzCofj+Jui6Oqcnu5qaW3Tg69sUH2L9MMLRn/nrlUP\n/litbR7d/+L6HnkOfB27xupdncEADAA4yaJFi9o/drlcyszMNFgDq1r98T6t/bRQV7rSFBoUqMf/\n16Vn7XMH2gPksPOHapxedna2cnJyJEl2u10ul6tT92MABgCcZP78+R0un9izaYrza3tHrcLfujwe\nrxb85QOlJkUrLNihXcUVusY1XM+t3qJxqfFnfLyudjU0NPTIa+tvX8fvykpd6enpSk9Pl3S8Kzc3\nt1P3YwAGAACdNjg+SmVV9Wpt8+qRW46vtk0ckdCtj1lZ26i/vvu5MlLjdPHY/t36WPAPDMAAAOCM\nDpbX6IWsfMVGhmjO6FS1tnm6/TG9Xqm4vEZNLW0aGB+pT/eXMQDjrGAABgAAZ+SuadSE4fH6XsbA\nHnvMy8YN1N/W7lJlbaNmThqiorKaHnts9G4MwAAA4LS27ivT37N367JxPTf8StLowX01enDf9sub\ndh/RU6s+0+HKet1//ZQebUHvwgAMAABOa2eRW7+5IkMJMeGmU1Tf1KqosCDTGfBxDMAAAOCUcnaU\nqLGp1XRGu7wDR+XsE6JkZ4TpFPg4DrAHAABOad22Yq3fUWI6o92fbr1Yf7hxmgICbHrw75/oaHWD\n6ST4KAZgAABwShGhDoUFB2pXcYXpFElSeIhDocGBun1OhtL6x6q6vsl0EnwUWyAAAMA3+snFaXLX\nNCo2MsR0ykm27C1TSFCg4qPDFMhZ49AFDMAAAKBdY3Orvig7po35R+Q+1qgBcX00IK6P6ayTXJCe\nrC17S/XKut1q9Xj022smmE6CD+HXJQAA0K7gSLVezd6j1KQo3X7FeaZzvlHfqFBdNn6QFl41Tg5W\nf9FFrAADAIAOxg+P1/nnJJvOALoNvzIBAABJ0kf5h/ViVr7Cgn1vfex/P7PedAJ8CAMwAACQJH1R\nVqP5M8/VhWP6m07pkjuuHKf4mDDTGfAhDMAAAADwKwzAAABAf/rHZ9pZ5PbJ7Q+SdPBorX65OEu/\nfTZXZVX1pnNgcb75XQ4A6FZOp9N0QgcOh0MSXZ31rbrsDv1xwcxuKjquO1+vp34zU21tXq38cLdC\nwyPldEZbouu7oKtrTnR1BgMwAOAkixYtav/Y5XIpMzPTYA1wZuEhQZKkoUkxeuyNj/WDSam6bMJQ\nw1XobtnZ2crJyZEk2e12uVyuTt2PARgAcJL58+d3uOx2uw2VHHdipcl0x9f1lq51nxUrb9/hbn8e\nPfF6pSWG6SeZqfrL/8tTSalbs6aceQjuLV/HnmKlrvT0dKWnp0s63pWbm9up+7EHGAAAP7ZwaY4+\nyj+s/3vdRNMpZ01qUrQevsWlfYeqTKfAolgBBgDAjyXGhuuOK8eZzgB6FAMwAAB+prD0mD7KP6zJ\nIxNNpwBGsAUCAAA/s21/mbzy6n/e3KqWNo/pnG6zq7hSG3YeMp0BC2IFGAAAPzQuNV6XjRukEIfd\ndEq3ueua8Xo1e7emjkoynQKLYQUYAAA/FBBgU2xkiMJCOn/sVF+TmhStkKBAvb/lCz38xmbV1Deb\nToJFMAADAOBHDlfUqbi81nRGj6mqbVLWtiIlxoarrqnFdA4sgi0QAAD4kRfW7NTYIf2UEBNmOqVH\nzJmWqqaWNu0/zCHR8C+sAAMA4Ccamlrl8UqXjR+kiNAg0zk9IiM1TlO+PNrFK+t2q6jsmOEiWAED\nMAAAfuJ3L2xQv6hQ0xlGXH3BcE0YEa/thW61tPbeI1+gcxiAAQDoxZpa2rT9wFGVuGuVGBuueZen\nm04yIthh17CkGBUcrtYf/7HNdA4MYwAGAKAXK62s0+vr9+iFNfmmU4yLjwnT/B+OMZ0BC2AABgCg\nl0sf1FeFpdWqqGk0nQJYAkeBAADAD/zl15eYTrAEm2w6VtesO5fm6ObL05XWP9Z0EgxgBRgAAPiN\ngACb7pk7WbOnpurpd7abzoEhDMAAAMDvTDsnScnOCNMZMIQtEACAkzidTtMJHTgcx0/XS1fnfLXr\nWItdERG1lmi02usVGhoqp9Npua4T6OqaE12dwQAMADjJokWL2j92uVzKzMw0WINv64vSar314W45\n+/jHWd/gf7Kzs5WTkyNJstvtcrlcnbqfzev1erszDADgW7KysjRy5EjTGR2cWGlyu92GSzqyctef\n3tqsnQeO6AcTB2vUgFhLnPnNaq/XKx/sUu6OQ3rqNz9UTGSIZbpOsNrrdYKVu3JzczV9+vQz3pYV\nYAAAeiH3sQbdd/0U0xmWdt2FaV+eHpq1QH/DAAwAQC/yxvq9Suh31HQGYGkcBQIAgF4kv7hCKz/c\no9wdxaZTfEbW1gM6Wl1vOgM9iBVgAAB6kbDgQD3+qxmSrLdH04p+OHmIPtzt1rb9pTpvYB/TOegh\nrAADAAC/1S8qTCMH9FVrq0cPvrpJKz7cZzoJPYABGACAXqCxuVU5O0rU3NJmOsXnBDvsejN3t5Kd\n4TpwpNp0DnoAAzAAAL1AZW2TcvIO6t8uHGE6xeeMG56ov/xmhm64ZJTpFPQQBmAAAHqJwQlRGpwQ\nZTrDp5VXN2jz3lLTGehmDMAAAPi4rfvKtOQf2xQbGWw6xef9W+YIvbF+r+kMdDMGYAAAfNzRYw26\nxjVc358w2HSKzxs7tJ+iI4JV4q6Vx8MJMnorBmAAAHzYvkNV2rqvzHRGr+JKT9b9L32k+qYW0yno\nJgzAAAD4sLc37tfMiYM1LCnGdEqvMXVUkn44aYge+Psm7SjkrHq9ESfCAADAx50z0CmbzWY6o1eZ\nOWmIYiJCVNPAKnBvxAowAADAN6hrbFETx1budRiAAQDwUSs37NOG/MOmM3qtQQl9tLPIrWVrdppO\nwVnGAAwAgA/xer1qbG7Vgj9/oC/KavTGf8xk+0M3SXZG6KbvnWM6A92APcAAgJM4nU7TCR04HA5J\ndElSeVW9bvvjas2bcZ4unzjUMl2d4YtdgSGNKnY3qKS6VWOGxFumyySrd3UGAzAA4CSLFi1q/9jl\ncikzM9NgDb7ukozB3zj84uwKDwnSTZedq9c+yO/xARhnlp2drZycHEmS3W6Xy+Xq1P0YgAEAJ5k/\nf36Hy26321DJcSdWmkx3fJ2JrspjDaqrqzvtY/J6dc2Zuob2C9b+g+VatnqTZk4aYpkuU6zUlZ6e\nrvT0dEnHu3Jzczt1P/YAAwDgIz7dX6bHVmxVQmy46RS/87sfT9a2/eWmM3CWMAADAOAjquuaNGda\nqi4fP8h0it+JjwlTeIhDv302Vy2tHtM5+I4YgAEA8AE7Co9qzadFpjP82u1XZCjZGSGP12s6Bd8R\nAzAAAD7gg7yD+sWMMRozuK/pFL/3+JtbVeKuNZ2B74ABGAAAi9tR6Nb+w9XqFxWqoEC76Ry/9qtZ\nYzUpLUGHK+pMp+A7YAAGAMDiVm7Yp7kXpzH8AmcJh0EDAMDC9h2qUnObR+OGcQxa4GxhBRgAAAv7\n06rPdMnY/qYz8BURoUFanruXNyX6MAZgAAAsLNkZIdfoFNMZ+Irxw+J197UTlft5iR5bvsV0Dr4F\nBmAAACympdWjippGNTS3mk7BN4gMC9K9c6eosaVNVXVNpnPQRewBBgDAYjbtOaKVG/arur5JCTGc\n9c3KhiZG654XN+qJf7/QdAq6gAEYAAAL+tGUIRqSEKXQYH5UW9m1mcN18GiN6Qx0EVsgAACwkMra\nRpW4axVgsynJGaGYiBDTSUCvwwAMAICFvJazR61tHg1Ljjadgi547v3PdefSHO0+WGE6BZ3A31UA\nALCYmROHKDIsyHQGOik2MkT7D1fpexkD1dziMZ2DTmAABgDAAl7N3q1/bi1SdESw7AE20znogp9e\neo4k6f0tX2h74VHFRYcpPibMcBVOhy0QAAAY5PF4taPwqHYVV+rJX16oR25xKSzEYToL38K4YXEK\nD3EoaxsnyLA6VoABACdxOp2mEzpwOI4PhL2xq7G5VcvWbtT8H41X/+QEy3R1h97e5XRKYRF99P7m\nA2flOfb21+tsO9HVGQzAAICTLFq0qP1jl8ulzMxMgzW9V21Ds/IKyjRyQF+NH5FoOgdnQViIQ7uL\nj+q/Xtmg31431XROr5edna2cnBxJkt1ul8vl6tT9bF6v19u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juV88w5MxKKgZjUY0tvUiZYKXsWJJpU9zOIahkAIhXIc1YEnq6uqE0S5saWlB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\n1Ns/oMHRe7Kn7FJa5m7Fmmxv0jWvV27XtDwLLsVZgirOy1F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ayWRCfUs3ksd5GSuWVPo0h2MICimg4jqsAUsiCIIw2pWbN29GZqY4k+THkj09\nF0l3PAdVZLzYUbxOcLkwcKoSvZU70Vu1C/buljHHqyITEJa9AGHZ86FLyYJEygLlaS67FU2v/wDz\nMpLx8m9+zV1XKGiV7t6LfmUEomJiL/u+WFJpLAN9ZqCnCUvz88SOQpehuroay5Yt+8zr/O43aVtb\nG4aGhqCMiBM7iigkMhn0adOgT5uGxKvugq39FHqrdsJUuROWpmPnjbd3N6N9+1to3/4W5CFhMGRe\ngbDs+QhNn8WtbD1EptIgef1TKPvrD/DIY9/BL599hke5Kej09PSgxTSI1JxLP+jBkkoXyma1IE7P\nDRsCmd8V1oqKChiSp7AAAJBIJNDEpkITm4q4pTdhyNyF3qrd6K3aif66gxBczhHjnYO96N63Ad37\nNkCiUMGQPgth2QtgyLwCCl2YSM8iMEkVKiTe+ENs/MOD+NULL+Bb3/ym2JGIvKryWC30MUkX/VrN\nkkqXYshqRVhCqNgxyIP8rrAePHQI0thJYsfwSUpDFIx5a2DMWwOXbRDm4/vQW7kT5pq9cFkHRowV\nHHb0Vu1Cb9UuQCKFLiXrzNSBrPlQRyeK9AwCi0ytRdItT+F3v3sASQkJuPbaa8WOROQVF3t0lSWV\nLpd7yIqQkOD85DVY+F1h3bv/ENQTP3t+A/2PTB2CiGkFiJhWALfLiYETFWcKauVODPV2jBwsuDHQ\ncBQDDUdx+sPfQW1MHi6vIUlTgmatW09QGqKQvP4pfPcHjyAmJgYLFy4UOxKRxx2pOY7Q2OQxj66y\npNJ4cg1ZuUJAgPOrwioIAqqOHsGEgrvFjuJXpDI5QtNnIjR9JpLW3gtraz16K8+UV0tL3XnjbR2N\naOtoRNvWv0Ohj4AhKw9hWQsQOikXUgW3vbtYmthUJF7/OL561z147+23fPJERqLx0t3djbZeC1Jz\njOddx5JKnuB2uyE4hrgGa4Dzq8La2toKNyRQhEaJHcVvSSQSaOMnQRs/CfEr1sNuaoe5ajdMlTvR\nf+Iw4HaNGO/o70HX3g/RtfdDSJVqGDLmICxrAQyZ8yDXcr7QhdJPnA7j6rvx5ZtuwYYP3kd8fPCt\ncEHB4eix2hFHV1lSydNsFgsMOi3PbQlwflVYu7q6oAmL4j/KcaQKj4FxwdUwLrgaTusAzDV70Vu5\nC+ZjZXDbLSPGuodsMB0phelIKSCVQp+aM7xklipIV224GBEzlsJp7sR1N96Mkv9+wKMBFHC6u7vR\nZrYiJTEPfDnmAAAgAElEQVQa9TWVLKnkFQP9ZiRG8sThQOdXhbWvrw9yNeeoeIpco0Nk7jJE5i6D\n2zmE/vrDw/NeHX3dIwe73eg/cRj9Jw6j6T8vQxOX9slmBQugTUjnm4pRRC+6Di2dp/DgI4/ilRdf\n4H8nChiCIOD9Dzdg5/5DOPDD77CkktcMDfYjmp9aBTy/Kqz9/f2QqnhUyhukciUMGXNgyJiD5HX3\nwdJ8/My816pdsLadPG+8tfUErK0n0Lr5dSgM0QjLykNY9gLo06ZDKleI8Ax8k0QiQeza+1D6yv14\n429/w8033SR2JKJLJggCjh49iv/85z/497//jdOnT486liWVPMVp7UdYGI+wBjq/K6wSFY+weptE\nKkVI0hSEJE1BwsrbYe9ugemT8jpw8ggguEeMd5g70bn7fXTufh9SlRZhU+ad2awgYy7kGi7sLFNq\nkHD943jiqYcwY/p0TJ06VexIRBfs3JL6wQcf4NSpU6OOZUklT3MMDUEBF1cICAJ+V1jBI6yiU0XG\nI3bRtYhddC0cg2aYq/egt2oX+o6Vw+2wjxjrtlvQc3greg5vhUQmhz5tOsKy5yMsaz6UYeefRRws\nNDEpMK7+Ou648y58vHkjNBr+IiffxZJKvmqg34yYyAixY5AX+FVh7evrg6BkYfUlihADomYXIWp2\nEdwOO/pqDwxvSOAc6B0xVnA50Ve7H321+9H43m+gTUg/M+916gJoYtOCbj5n5MwVaK7bj+99/4f4\n5S+eETsO0QgXVVJVKuTMzsPSq77AkkpeZenrw6R4TgcIBn5VWK1WGyDnOqC+SqpQnZm7mpUHwf0t\nDDZVo7dyJ3ord8HWef4JGJbmWliaa9Gy8TUow2OHj7zqJ0yDRCYT4Rl4X8yab+C/L96FouJiFBUV\niR2HgtzFlFSNRoPly5ejqKgIA4ICk2blQxYkP7fkO1zWAYSHJ4sdg7zArwpreHgYYGsXOwZdAIlU\nCl1KNnQp2UhcfSdsHU0wVZ0pr4ONVYAgjBg/ZGpDx4530LHjHcg0ehgy5yE8ewFCJ8+BTBW4R2vk\nGh3iv/QYHnj4EeycMwcREfxoi7zrUkrqmjVrsHTpUmg0GlTXHMOxLhvLKnmd2+2Ge2gQBoNB7Cjk\nBX5VWCMiIiCx9Ykdgy6B2piEOOP1iFt8PRz9Peit3oPeyl3oq90PwTk0YqzL2o+eA5vQc2ATJHIF\nQifNRFjWfBiy8qAMjRTpGXiOPnUqBrIX4cmf/BTPP/es2HEoCFxuST3L5XKh5mQjotJneCM20QiD\n/X2INOj5ZilI+F1hdVtYWP2dQh+B6LmrET13NVxDVvQd34/eyp0wV++B81P/fwWnA+aavTDX7AXe\neR4hyZmfrPc6H2pjSsDMe41efis+fP523Lr+ZkyfPl3sOBSAxquknqulpQUulR4qtdpTsYlGNdjf\nj4mR4WLHIC/xu8LqHDSLHYPGkUypQfjUfIRPzYfgcmHgVOWZea9Vu2Dvbjlv/GBjNQYbq9G84VWo\nIhOGd9rSpWRBIvXfd9lyjQ7Gwtvx4Le/g40ffQCpVCp2JAoAniip56qqPYnwmAnjGZnogjksfYhM\nTRU7BnmJ3xXWIRbWgCWRyaBPmwZ92jQkXnUXbO0Nn6z3uhOWpmPnjbd3N6N9+1to3/4W5CFhMGRe\ncWa91/RZkCn974hPxMxCNOz/CH//+99xEzcUoEvk6ZJ6Vnd3N8wOAakGnqFN3ud2u+Gy9HHefxDx\nu8Jq62dhDQYSiQSa2AnQxE5A/LKbMGTuQm/VbvRW7UR/3UEILueI8c7BXnTv24DufRsgUahgSJ+F\nsOz5MGTmQaHzj1+oEqkUMVd9A0/99LtYvXo1wsP5URddGG+V1HMdqz8JXVTcpUYmuiz95l7EhIdC\nqeTKQcHCrwpraGgoILjhtPRDrtWLHYe8SGmIgjFvDYx5a+CyDcJ8fN+Zea81e+GyDowYKzjsw2vB\nQiKBLiX7zNSBrPlQRyeK9AwujDYhHfrshXjqpz/Hc8/8TOw45MPEKKlnDQ4OoqnDhJRp6Zd1P0SX\nasDUjemJwbv5TDDyq8IqkUiQkTUVg6ePwTB5tthxSCQydQgiphUgYloB3C4nBk5UnCmolTsx1Nsx\ncrAgYKDhKAYajuL0h7+D2pg8XF5DkqZA4oNzRaOX34b/PH87vv7V2zF58mSx45APEbOknutkwymo\nImI415pE4xgwwWjk62Mw8avCCgDzZuXio0YWVjpDKpMjNH0mQtNnImntvbC21qO38kx5tbTUnTfe\n1tGIto5GtG39OxT6CBgy8xCWvQChk3IhVfjGR0tyrR4R87+A5194Ea+8+ILYcUhkvlJSz3K5XDh2\nqhkxGbnjft9EF8I6OIAQpQw6nU7sKORFfldYZ83MxQd7Xxc7BvkgiUQCbfwkaOMnIX7FethN7Z8c\ned2F/hOHAbdrxHhHfw+6yj5EV9mHkCrVMGTMQVjWAhgy50GuDRXpWZwROW8NNj73FTQ3NyMhIUHU\nLOR9vlZSz9Xe3g5BFQKlSuXRxyEajbmnB2lxnA4QbPyusObm5qLv1PcQLwgBswYneYYqPAYxC76A\nmAVfgNM6AHPNXvRW7oL5WBncdsuIse4hG0xHSmE6UgpIpdCn5gwvmaWK8P6JJXKtHhGzVuKl3/4O\nTz/5hNcfn7zPl0vquU42NUMXwbJA4hkaMCE2fYrYMcjL/K6wJiQkQCYBHOYuKMOixY5DfkKu0SEy\ndxkic5fB7RxCf/3h4Xmvjr7ukYPdbvSfOIz+E4fR9J+XoYlL+2SzggXQJqR77Y1S5IIv4J+/vhMP\nf+sBLt0SoPylpJ5ls9nQ3NmLpByebEXicDiGgCELXxODkN8VVolEguycaehoqmFhpUsilSthyJgD\nQ8YcJK+7D5bm42fmvVbtgrXt5Hnjra0nYG09gdbNr0NhiEZY1pl5r/q06ZDKFR7LqTREI2xqPv74\npz/j4Yce9NjjkHf5W0k9V2trK2T6cG6FSaLpM5mQGBPFE/6CkN8VVgAoWHAF/rL9IMJzFoodhfyc\nRCpFSNIUhCRNQcLK22Hrbhk+aWug4SgguEeMd5g70bn7fXTufh9SlRaGKXMRnr0AoRlzIdeM/wkA\nEfnX4Q9/eBD33H0XtFrtuN8/eYc/l9Rz1Z46jbDoVLFjUBCzmHswbTLn9Qcjvyysa666Ci+8/DvE\nXXUvJHynT+NIHRmP2EXXInbRtXAMmmGu3oPeql3oO1YOt8M+YqzbboHp8McwHf4YEpkc+rTpCMue\nj7Cs+VCGjc8cP7UxCSEp2Xj77bexfv36cblP8o5AKaln9fX1odcyxJ2tSDSCIMA5aEZk5DSxo5AI\n/LKwpqamIj4+Hv0nKxA6iUureFP/iQoIbhdkKi2kKg1kKs2Z75Uan1zT9HIoQgyIml2EqNlFcDvs\n6Ks9MLwhgXOgd8RYweVEX+1+9NXuR+N7v4E2If3MvNepC6CJTbusea8hM1bgH/96l4XVDwRaST3X\n6eYWKA1RYsegIGY29SAmTAe12v+23qbL55eFFQC+9IW1eO3jbSysXnbqnedh62j8zOukCvUnJVYL\nmUoD6fDXT12m/N915xbfEZf5WAGWKlRn5q5m5UFwfwuDTdXordyJ3spdsHU2nTfe0lwLS3MtWja+\nBmV47PCRV/2EaRf9qYBh8hxUvf0s2tvbERMTM15PicZJIJfUswRBQF1TC8JTs8SOQkGsr7sdV6Qn\niR2DROK3hXXd2rX49YsvI3bNNyCV+e3T8DuuTy0HdS63wwa3wwbngGlcHstXC7BEKoUuJRu6lGwk\nrr4Tto4mmKrOlNfBxipAEEaMHzK1oWPHO+jY8Q5kGj0MmfMQljUfhslzIFN//rxUqUKJiKw8fPDB\nB7jjjjvG5TnQ5QmGknqunp4e2KGARhsidhQKUi6nE4LFDKORB6mCld82vaSkJCQlp6C//hB3vfIi\nt93qvcfykwKsNiYhzng94hZfD0d/D3qr96C3cif6ag9AcA6NyOCy9qPnwCb0HNgEiUyB0PSZZ8pr\nVh6UoZGjZtdOLcBb777LwiqiYCup52poPA0NV2UhEfV0dSAlLhpKpW/sSEje57eFFQCu++I6vFqy\njYXVi6Y9/ibcditcdivcdgtcditcdss53//vcrfdAteQ9ZPxn33Zp49GepI3C7BCH4HouavgGOiF\nvbsVts5GuIdsI24vuBww1+yFuWYv8M7zCEnO/GS91/lQG1NGzHsNTZ+F6refQUtLC+Lj48clP32+\nYC6pZzmdTjS0diA2c6bYUSiIWXo6kTpjstgxSER+XVjXrV2LX/zyVzCuvBNyrV7sOEFBptRAptRA\nMQ7/uQVBOFMiWYABAION1RhsrEbzhlchkSkgDzFAGRYNRZgRcnUIpCHheOjhh7Fo4UKEhIRAp9NB\np9MhJCRk+O/nfuU6hZeGJXWk7u5uCEotFAoe2SJx2G02yF1WREXxpL9g5teFNS4uDstXLMehvf9B\nzJIbxY5DF0kikbAAj/ZcXA44+rrg6OsCGquHL9/e1oDt27Zd0H1oNJrzSuznFV2dTgetVjtizNnL\nAnmxeJbU0bV1dEIdyl2FSDymznZMSk7gm/Ag59eFFQC+dd83sOaLX0J0/jWQKlRixyERebcAf6rk\n2q1wD33GdZ+6zJsF2Gq1wmq1orOzc1zuL9AKMEvqhWloaUfExByxY1AQs/V2IIlTUoKe3xfWjIwM\n5M6YjqZ9xYjOWyt2HAogYhRgx4AZ1pY6WNtOwt7TCsHluPwHHieBUIBZUi+O2WyGXZBCpQ6+506+\nYbC/D3qVDGFh3LAi2Pl9YQWAhx+4H+vvvBdRc6/kzlfksy62ALtdTgycqDizWUHlTgz1dow5Pjk5\nGbNmzcLUqVMRExMDq9WKgYEBDA4ODn89+/2n/372e7fbPeZjjCdvFeCQkBA4HA60traioaEBZrN5\n1PtQq9VYsmQJ1q1bh+XLlwdlST1XR2cnlDpOByDx9Ha2IyclUewY5AMkgjD6Z5SbN29GZmamN/Nc\nsqIr18KStRIRM5aKHYVo3AmCAGtrPZo3/BFoOwZzb++Y441GI1asWIHCwkLk5+df0M4wgiDAarWO\nKLGjlVtfLMDj7dwCfKFHekc7ShwSEjLmEeCXX34Zf/jDHxAZGYno6GhERkYiKipq+Pvo6GhERUUh\nKioKkZGRUKm8M/1p8/adQGQy9NyOlUQgCAIaDu/F2mX5Qf/mMVhUV1dj2bJln3ldwBTWkpISPPTD\npzHh3lcuaxtMIl822HQMlo9+jbfe+AtKSkpQXFyMPXv2wOl0jnobrVaLxYsXo6ioCMuWLUN4eLhX\nsrIAjzRWAX7//fcv6r4MBsNwqT3757PKbVRUFPR6/SW9JtpsNvx7UylSp8/jayqJoqerA1prFxbl\nzRM7CnlJUBRWt9uNxcsLIcz6Io+yUsByOx048uOrUXX0CLTaM7tk9fb2YuvWrSguLsaWLVswODg4\n6u1lMhnmzp2LoqIiFBUVITk52VvRL5sgCLDZbCMKbX9/PyorK7Fz507s27cPPT09o95eKpVCq9VC\nLpfD6XTCYrH4dQG+UCqVatRy++miGxERAbn8zEyx5uZm7DnejKR0//gdQIHnVNVhLJqezi2pg0hQ\nFFYAKCsrwy13fB3pD7x6QVteEvmjhlfuxau/+jlmzz5/wwy73Y5du3ahuLgYGzduRFtb25j3lZmZ\nOVxec3Jy/OJImiAIOHLkCD744IPLOnHqswrwaF8/6yixxWI572iwvxdgiUSC8PBwREVFQalSQxMW\nBWNcPAwRUTCERyDs7NfIM1/VGr7OkmcMDvTD0nQMq5cv9ovXJRofQVNYAeCue+/DQbMSsau+JnYU\nIo9oeeOHePL+27By5coxx7ndblRUVKC4uBglJSWoqakZc3xcXBwKCwtRVFSEvLw8n9oCcbxKqqcz\nXmoBLikp8UrG8abWaGEIj4AhPBKGiDN/wiIiR5TbrNw5oi9hRv6nqa4GucmRSEtLEzsKeVFQFdaO\njg4sXLwUKV/7JTRG//m4k+hCtb77HB744hLceOPFbZbR0NAwPO+1rKxszKOBer0eS5YswcqVK7Fk\nyRKEhoZebuyL5g8ldbxcf/31KC0tFTuGR7y98yhk8oBYkIa8xDE0hNbqA1hXuBgKhULsOORFYxXW\ngHsVMRqNePCBb+KVt15C8q0/40cJFHAEdeiYczVHk5qaijvvvBN33nknenp6sGnTJpSUlODjjz+G\n1WodMba/vx/vv/8+3n//fSgUCuTl5aGoqAgrVqxAQkLCeD2V8wRTST3Xiy++CJvNBpfLdd4ft9sN\nl8sFp9M5/P2FjnG73XA6nRc9prOzE90WJzQhIXAPX+6E2+WG233m7+7h27uGL//036VSGcsqXbSu\nthZMTolnWaURAu4IKwA4nU4ULF0Bad71iJhWIHYconHVtu0tFMULeOJHPxyX+7NardixYwdKSkpQ\nUlKCrq6uMcfn5OSgqKgIhYWFyMrKuuw3hcFaUn3Z1h274QpPQKjBOytKEJ3ldrvReKQcqwuugE6n\nEzsOeVlQTQk4a8+ePbj1znsw6VuvQqbkLzUKHF37NmDqUD1+99Jvxv2+XS4XDhw4MDx1oL6+fszx\nSUlJw/Ne582bN3yG+edhSfVdLpcL73y0GYk5czn3lLyuu6MdoQ4TFsybI3YUEkFQFlYAuPu+b2J/\n+xDi1n1T7ChE46a3ajei6jfhX/94w+OPVVdXN1xe9+/fjzFeLmAwGLBs2TIUFRVh8eLF5x0dYUn1\nDyaTCZvKjyAlK1fsKBSEGioPYMnMLERHR4sdhUQQVHNYz/XM00+hYOlymCp3Ijx7gdhxiMaFTB2C\n/v5+rzzWpEmTMGnSJNxzzz3o7OzEpk2bsGHDBpSWlsJut48Yazab8c477+Cdd96BUqlEfn4+CgsL\nkZiYiN27d7Ok+gmz2Qy55gL2DiYaZwN9ZoQqgKioKLGjkA8K6MKq1+vxu5dfxE233oGQpClQhkaK\nHYnosrnsFoSJMLcrOjoaN9xwA2644QZYLBZs27YNxcXF2LRpE0wm04ixQ0ND2LJlC7Zs2TLmfbKk\n+p62rh5odN5fFYLI1N6C2RNTebI0faaALqwAMGfOHNxx63r8/e1nkHzr05BIOSeL/JvLZoFeL+4R\nMK1Wi1WrVmHVqlVwOp0oLy/H66+/ji1btqCvr2/M20okEkyYMAHXXHMNvvrVr/LECh/T3mVCZDqX\nBCTvsttskFjNSEiYKXYU8lFSsQN4w0PfegCJehk6tnh+zh+Rp7lsgwg3iH8ETBAEVFRU4JlnnsFD\nDz2E995773PL6tnbnThxAs8++yzmz5+PBx98EMXFxectrUXeZ7FYYHcDSpVK7CgUZDpbGpE9KfWC\nT9yk4BMU/zLkcjle/d0rWLqiCJqUbISmzxI7EtElc9kGEG4Up7Be7IlT+fn5MBqNaGpqwp49ezA0\nNDRiTHd3N9588028+eabUKvVWLRo0fB6r5GRnMLjbSaTifNXyevsNisw0IMJqTliRyEfFhSFFQBi\nYmLw+1dewm133g31PS9BGcYzEMk/CfZBhBmSvPd443R2f39/P7Zu3YqSkhJs3rz5vKOxNptteC1Y\niUSC2bNnY+XKlSgsLOT2jF7SbeqFIoSFlbyro7kRUyel+tR20OR7gqawAsCCBQtw/z134bd/fRyp\nX/slZOoQsSMRXTTJkNXjc1g9sQSVXq/H2rVrsXbtWjgcDuzZs2d4yazm5ubzHr+8vBzl5eV48skn\nkZ6ePrxZQW5uLqTSoJjN5HWtnT3QxU0UOwYFEbvNCsmgCWkTposdhXxcUBVWALj3nrtxqrEJG//2\nBJLWPwWpnFu/kX9xm9sRFxc37vfrzXVSFQoFFi5ciIULF+KJJ55AZWUliouLUVxcjMrKyvPG19bW\nora2Fi+++CKMRiNWrFiBwsJC5OfnQ61WX/RzpfO5XC6YByxICeFJcOQ9nc2NmJo+gduw0ucK6I0D\nRuNyuXDLrbfj+IAM8dc8wiU0yG8IgoDqp6/Dtk3FiI+PH5f787XF/E+fPj185HXPnj1wOp2jjtVq\ntVi8eDGKioqwbNkyhIdzK9FL1dfXh5LdB5GczbO0yTtsVgu6aiuwZsViFlYCEMQ7XY3FarVizdXX\nYCAuBzErbhM7DtEFsZvaceq396HqyOFLfqPliyV1NL29vdi6dSuKi4uxZcsWDA4OjjpWJpNh7ty5\nKCoqQlFREZKTuTTTxWhtbcXumiYkpgfmaz75nqa6GkxLjED6JE5DoTNYWEfR1dWFoivXQH3FtYia\ne6XYcYg+l+lIKYyntuHtv79+Ubfzp5I6Grvdjl27dqG4uBgbN25EW1vbmOMzMzOHy2tOTg4/Sfkc\ndXV1qOywIi45VewoFARsVgu66ypw1XIeXaX/YWEdw4kTJ3DVui8get2DCMucJ3YcojG1Fr+KL02L\nwSMPP/y5YwOhpI7G7XajoqICxcXFKCkpQU1NzZjj4+LiUFhYiKKiIuTl5fFs5M9QfuAQuiU6RETH\niB2FgkBTXQ2mJ0Vg0kQeXaX/GauwBt1JV5+WlpaGv/75j7jh5q9AesPjCJ04Q+xIRKNytdZixi2F\no14fyCX1XFKpFDNmzMCMGTPw6KOPoqGhYbi8lpWVwe12jxjf2tqK1157Da+99hr0ej2WLFmCoqIi\nLF26FKGh4m/C4AtMfQNQx7KskufZrBbIbGakpuSKHYX8SNAfYT1rx44duOPOuxB37aMwZMwROw7R\neQSXC5U/uRa7S7fBaDT+7/IgKakXqqenB5s2bUJJSQk+/vjjMXfQksvlmD9//vBmBQkJCV5M6jsE\nQcDbH5YgMWceZDJuX02e1VRbgxnJEZjIo6v0KZwScIHKy8tx8623IXbdgwjLni92HKIRzMf3Qbr7\nDWwp+Ygl9QJZrVbs2LFjeEOCrq6uMcfn5OQMr/ealZUVNPNerVYr/rN1F1KnzRU7CgW4wf4+DDQd\nw+plBXxzROdhYb0Ihw4dwvU33wLjld9A+LQCseMQDWt+5zmszo6HWq1iSb0ELpcLBw4cGF4yq76+\nfszxSUlJw/Ne582bF9B7nHd1dWHb4eNIyuDWmORZDVWHsCA7LWg/zaCxsbBepMrKSnzp+hsRWfhV\nRMxcIXYcCmKCIMDSXIueQ1vQUfovCIJ71LEsqRenrq5uuLzu378fY7wUwmAwYNmyZSgqKsLixYuh\n0wXW4vqnTp3CgcYeJEyYJHYUCmA9XR1Q9rdjSX5e0Hx6QReHhfUSHD9+HNdcdz0MBTchkktekRed\nLammim0wVWyDvad11LEsqeOjs7MTGzduRHFxMUpLS2G320cdq1QqkZ+fj8LCQhQWFiImxv9PVKo4\nWolGqwzGOB71Is9wu91oOLIPhXm5iIiIEDsO+SgW1kt08uRJXH3tddDOugrRi67jO0LyGJZU32Gx\nWLBt2zYUFxdj06ZNMJlMY47Pzc0dXu81PT3dL18ntu8uw5A+FqFh3CmMPKO9uQkxchvmzuJOajQ6\nFtbL0NzcjBtu+QoshmTEXf0ApHKu30jj42JKKgCsXr0aV199NUuqFzmdTuzbtw8bNmxASUnJmPOG\nASA1NXW4vM6ePdtvTiop3loKdfwkaEICa6oD+QbH0BCaqw/gqiULoNVqxY5DPoyF9TJZLBbc/Y37\ncbDuNBJv/AEUen6cQZfmYkqqVKGCITMPwmAPri9aiO9/77teTEqfJggCjh07Nrze66FDh8YcHxER\ngRUrVqCoqAiLFi3y6TcZ/96wGVGTZ0DBDRXIA5rqapAdZ8CUjMliRyEfx8I6DtxuN575xXP48xv/\nQNLNP4Y2nicn0IW5lJIaMb0AoRlzYe9sQvNfH0fZ7p0Bd6KPv2ttbR2e97pz5044HI5Rx6rVaixa\ntAhFRUVYvnw5oqKivJj08731/gak5M73y+kM5NsG+sywNNdi5ZKFAb3SBo0P7nQ1DqRSKR779iPI\nmpKBhx99DLHrvonwnIVixyIfdTklVaZUD1/XtfFVPPytB1hWfVBcXBzWr1+P9evXo7+/H1u3bkVJ\nSQk2b96Mvr6+EWNtNtvwWrASiQSzZ88enjqQlpYm0jM4Y2hoCIJEyrJK404QBHQ11mPh9Cksq3TZ\neIT1ElRUVODmW2+HNncljEtu4gs9ARi/knpWX+1+9H/0Enbv2AaFQuHJ6DSOHA4H9uzZM7xkVnNz\n85jj09PThzcryM3NhVQq9VLSMwYHB/Hh9r1IzeEOfzS+utpaoXeYsDBvnthRyE9wSoAHtLe34+av\n3I5uqR5xV38L8hCD2JFIBONdUofv1+3GyZfvxdPffRBr1qzxRHTyAkEQUFlZieLiYhQXF6OysnLM\n8UajEStWrEBhYSHy8/OhVo/+b2S8mEwmbNlXiaTM6R5/LAoeDscQTlcewOqCK6DX68WOQ36ChdVD\n7HY7nvzJT/HP9/6N+C8+gtB0LtcRDDxVUs/VXf4RVNUbsWnDhzyCH0BOnz49fOR1z549cDqdo47V\narVYvHgxioqKsGzZMoSHe2bJqY6ODuw4egKJk7M9cv8UnBprq5EdZ0DmlAyxo5AfYWH1sG3btuHe\n+x9ASM4SGFfcyqWvApA3SupZ1o5GNPz+Qfz7nX/y5y+A9fb2YuvWrdiwYQO2bt2KwcHBUcfKZDLM\nnTt3eN5rcnLyuOVobm7G3rpWJE5ksaDxYeruhNDdhBUF+X6ztBv5BhZWL+jp6cF9DzyIw7WnEP+l\nx6CJSRE7El0mb5bUs9wOO06+ch8eve9O3HLzzZcanfyM3W7Hrl27UFxcjI0bN6KtrW3M8ZmZmcPl\nNScn57KOwp88eRKHmvuQkCruyV8UGJxOB5qOHkDhglke+1SAAhcLq5cIgoC/vv46nnz6ZzAuvxWR\n867ix7l+RoySeq6Wd5/H9Egp/u+3L/PfTpByu92oqKgYXu+1pqZmzPFxcXEoLCxEUVER8vLyoLzI\nte3TBEsAABiXSURBVFSrqmtQ1+dGbELS5cQmAgCcrj+GjOgQZGexO9DFY2H1srq6Otzx9bvRrwxH\n7LoHuNGAjxO7pJ7Vc3ALbDvfwNaNxVzGioY1NDQMl9eysjK43e5Rx+r1eixZsgRFRUVYunQpQkND\nP/f+Dx+txGmbHNGx8eMZm4KQ2dQDZ8dJFC5eyKkAdElYWEUwNDSEnz/7C/zl9TcQvfQWRF2xBhIp\nf4B9ha+U1LNsHU048fsH8O4/38TUqVPH/f4pMPT09GDTpk0oKSnBxx9/DKvVOupYuVyO+fPno6io\nCCtWrEBCQsJnjjt4+AhanSpExcR5KjYFAZfTicbKA1iRl4uICB6koUvDwiqi48eP48FHHsOpzl7E\nrL0fIUlTxI4UtHytpJ5l727ByT88jB9/91Fcf/2XPfY4FFisVitKS0tRUlKCjRs3oqura8zxOTk5\nw+u9ZmVlDU85OXCoAm0uDaJiYr0RmwJU88laTAxXYdpUrjZBl46FVWSCIODtt9/GD554ErrMfBhX\n3Aa5luvSeYOvltSz7D1taPjDw3jsW/fh1lu/4vHHo8Dkcrlw4MCB4SWz6uvrxxyflJSEwsJCFBYW\nQqHWokcaikhjjJfSUqDpM5tgb6lHEbdfpcvEwuojent78cRPfooP/vsRjEVfQ8TM5TyxxgN8vaSe\nZTe149QfHsaD992Fr91xh9celwJfXV3dcHndv38/xniZh06nw9Q5eVi44krkXpEPTQjnT9OFc7lc\naKw8gKVzchAdHS12HPJzLKw+5sCBA/jWI4+i162E8cp7oI2bKHYkv+cvJfWsIXMnGv7vYdx/1x24\n++t3ev3xKXh0dnZi48aNKC4uxvbt2zE0NDTqWLlCgWmz8zB30VLMWbQUEVFGLyYlf9R8sg6poTLk\nTp8mdhQKACysPsjlcuG11/6CZ59/HiETZiBy6XqooxPFjuVX/K2knmU3taPxT4/hnttv+f/27jwo\nzvy+8/inm6s5m0sgQBwCCYSYkQAhrkYnMCMmW4ljbybZqk3FKXsTb5yrKqnaP7Ne17qSde1WdpPN\n2Jls7SZrJ/bu2E482cwoY81YQjMICXFJCAkd3Iibbq5u+tw/NDNlWScy8DwN79c/8MfzPP3RH01/\n9PTv+f7021/+LcNyYOdZXV3V+fPnP5336nQ6n3p8cdlhVR8/rerjjdqzt4hvhPAQ18K8vJP31HzC\nse5xasDjUFhNbGVlRX/55pt645tvyl7mUPqpf63oZO5qPEm4ltRPuAY6NPHWf9If/v7v6jf+zReN\njoMdzO/368qVK/rf3/q2PrrUrpnJiacen7Un/9PyWnKo4qGxRYuuBSXZGRK/k3jX1jRxs1tNdZVM\nBcCGobCGgYWFBf33N97QX//Nt5RS2az0E7+iqAQ+AKTwL6nSg3/DzPnvaLH9H/TmN/5C9fX1RkcC\nJEndvdc17o3S6sqyLl94X5cvnNOdG9eeek5ScoqqHCdVfaJJJS+X6zc/c1p7i0vlaGxRfeMZHuDa\n5kKhkIb6e3WkKEv7iljSho1DYQ0j09PT+i9/+l/11vd/oLSaf6H0Y68rMnbnPQSxHUrqJwKeFU18\n7+tKDy3rf/2Pv1R2NgPaYR6P2zhgbnpKVy5+oMvnf6TejksK+P3rumbp4SNqaG5R7alXWAe7DU2O\nDCk9Yk111UdYJoINRWENQ2NjY/rjr/9nnT37z0qpOqO0ul/Y9ksFtlNJ/YR7akhj3/6KWhpP6Gtf\n/YpiYmKMjgQ8pO9Gv+4tS5nZj19Dv7q8rK5Lrbp84Zw6Pjyv1eWl5762xWLRwYoqNTS9ptpTryg5\nNW2jYsMgi84FrU7c0asnHPw9w4ajsIax4eFhfePNv9Jbb70le3GV7HWfU0Le9tl8YDuWVEkK+rya\nufBdzbf9vb76lT/SL7/+utGRgMe6d++eeu8vKTu/8JnH+v0+3ejq0OUL59R+/pxmp578fv1pFqtV\nLx+pkaOpRbUnm5WUzJKncOPzejV2o0vN9axbxeagsG4Di4uL+tu//Tt9482/UighTUm1v6iUsgZZ\nwni/5rWFKQ188w+2TUn9hOvWFU3/45+r8lCZ/uQ/fvWJW2ICZjA+Pq72O/e1p6hkXeeFQiG9/Z2/\n1v/80z9e92taIyJ0+Gid6htbVHOiUYn25HVfA1tvsL9X5fkZKineb3QUbFNPK6xsSREmkpKS9KUv\n/aa++MUv6OzZs/pvf/FNDbz7ppJrf15pR18Ly3Wu0fZdCvoenQkZjiVVkrzOGU2/84ZC0/f0Z1//\n2hPfdICZREdHKxTwrfs8i8WilLRdSt2VofmZ6XWdGwwE1HXporouXdQ3/uSPVF7tkKO5RdXHGxWf\nwC6AZjQ1NqKcxEgV799ndBTsUNxhDWPd3d36sze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FPBNjdrYWEmnmxJq+MNDIRX6+jh07ciGKAn78YxXBYG9OM8C8lXlqRrhA3rix\n2xxjpFazfr8ETQtVsTwy3NSUhfx8HePH6zh2TEZWloHKyu6Q40Sys7O6XljdO06fFjF3rorLl0Vz\nX/3dtAzEli5RyN4uNSgoKMCnn34a8fmtW7di69atts/ddddduOuuuwZraMQIYyjmgkjzmcul48IF\nES6X0WeepzmKSAQSzsSQYLVzi+SAEW4vF0ncRZr0eNEf0JuKkZUlwjD6FtdZDfG56P3Nb/IQDLJW\n2ew5tk9rfrbfL+GJJ0ZBFA3U1PQ+xxuqnD8voq1NRHu7iPvvD10e5KkddtFsawS7qqor5O/6+mwc\nOuQwLwDxprEMJZTrTBAjl/A6kOGaC/g1wi6AQHMUkSgJCec333wTv/vd73Ds2DGsXr0av/jFLwCg\n37auRPoSz5K8/QRl38bVLk0h2na8xbTLpduK8c2bL5senrzC267wju9vyhTWsCT0WL0NTLjA1jTm\nvqFpAg4ezMKyZT5TCHd0iLhwQURRkd5HcIfbwYUXM1ojzNYOgC6XjptvvoJly4Sk5ehRWgVBEMkk\nvFOf9bHBJlJxONB7LbHWltj52RNEPCQknPPy8vD9738f7777Lnp6eszHo7V1JdKfZDfJsOvSF03c\n5efrOH1axLZteViwQEFHh4hAQIDLFWqzxj07o9nBqaoARWEWdOXlCqZM0SGKQElJELt3u83JledQ\nA0BNTTcOHszCoUMONDfnoaqqyyw+AYBAQAw5bmi0A9i3z42bb77SZ5K3a1nLsXMl4d6kdvS3FDkY\ngjlalIcgiMzEOjfyIAMwtDfofC7l1xJez2JXWzIQP3uCsJKQcF64cCEA4OOPPw4RztHauhKpQzTh\nNRDsCjRCbd/Q5+9IwjF8O+trKyu7r7Z6ZY95vSIWLFBQUeEPeQ1vuc0j1FwEW48jywbKy1WoKiCK\nQE+PgJYWCd/4Rk9IOkd3t4zTp0XougCHQ8eyZT4cPcrazb70Ug4cDpjOHNu2sYl5wQIFzc2yGQW3\nFqtUVPSNdoSfu98vRSwoVBQRTzzB9rFpk2j7nvIGL3aiO9kkw4Ob8g4JIv1QVTZn8r+tzdmGsjiQ\nzz+lpSpOnxZDxpGfr5u1NZz+CsAJIhJJyXE2jNAvYLS2rkRqEE14DXR/4cIpkvNEJPhE5vdLUdMS\nZNkw21dLkoGKCgE7d+Zgx47ckGM/8YQIwxBQWsqEMZ9M6+o8AGAW2lVU+LF9ey6CQQFFRRoEgW3D\nU0EURcT+kl9ZAAAgAElEQVTOnTnQdcHMM1ZVAddeq1rGFPm8+MXEWqyyc2eO2RXQGq3m4lFVmY0f\nj6Tzf48bp4ekh0QiP19HSwsT3rHmiPdHshraxLItQRDpgSwb5mqfpgkx+cwPNsyvn83V3Iq0tjYv\nZL4d7jES6UtShLMQ5pMVra2rHanaAz2TerSHY40281zgRPYlCDpEUQjZn8+n9XnMjv/1vxQAQFZW\nHv73/xbQ0yOgpETD//yfQp/X+HzaVUFsoKCATXytrSxVo6RECzk2g3UNPHNGxPLlCubO1dHQIOGj\nj2TTKq+gQIemAYYBqCrw9a9r+M//lLBtWx6ysgz85CcaJkzQMWOGhkWLRIwdOwaXLikADDQ3y9A0\nATNm9B774YcVBIM63n5bwIQJOl5+2YP/9t805OXJeOQRAz09Ov70JwEFBTpeecUDr1fCj3+s4v/8\nHxlTpmgYP56dl9croqREw7p1KjTNhVGjdHz4IUsPeeQRA48+yoSsyzWmz3t6550KfvUrA4IghLz3\n/P0DgC1b9Jg/91he98gjvK3tGPM1sXz+dttm8m+PINKNaDfNfGVx3z43tm3Lg8tlDHnRXXh6G68J\nAYCdO3MQCAgoLtZiskQliP4YlIhztLaudjz22GPm30uWLMHSpUuTMSwiCm63hEcfZULF5Rq4QbDP\np+Gxx0QAIn78YxVZWaIpkNxuCVu2aObffPtw/vQndvw77tABxC/gBQHIyjJwxx0GAAE+n2ae31df\nKXj9dR2LF2toaHDgnXeAefNU6LoAVWU5x21tIhYvVnD5soDLl0XMnavj5EkJomjAMIBgUMcHHzgB\nAIsWqeY5XL7cWywoCEBPj46eHh1ZWSKyskR0dLDfxcmTEn71KxHFxfrVMbJjGgYbi9fLzjk/X8OJ\nE5I5pqIiHevWqfjzn2W0tYkQBGDqVA0XL7KLmMfDfr6KovT5TLKyRDz8sAHASOimKB7Cj2P3+Ud7\nbazbDif79+/HgQMHzH8vX758GEdDEINPpNUgqzDmIrWwUMOFC2JUO8/BhhUosr8VRYTXyzrDrl17\n5WoTrL4pJQQRD4MScY7W1tWOqqqqkH+nSk/0dO/R3h/JOD9FEaHrbFINBrthGLrpYmHF7w/NveX5\nxhs3dqOlxQNdF+DzXcZ997HlPpdLh99vv69Nm3qLCa0pC8Eg8PjjfIL/EpMnj4FhaGhsdKKwUAO/\nv7twgU2k48bpkGXWZruuzo3x43WsXu3DSy+xvwsKWAqG3x9AYaGE1lYJly/78fjjHpSWGmhpkVFY\nqGHdOpY68fjjuWZkY8OGLtx2GysU3LGDPT5mjI7HH5fNhiaBgIALF0RUV1+GYWhYt46lVsgys8Iz\nDEBRggBkM03kttuumO+N293387NLj+DvPc/x27SJfyah729/qRibNom2r+sPRRHR2Rl7ioffn7q/\nvTlz5mDOnDnmvz/55JNhHA1BDC3R7ESbm5mcsNppDlXkOVq3VGuBIm/KZZfCRhCxkpBw1nUdiqJA\n0zRomoZgMAhRFKO2dSXSn3DrIe7PHC/5+Tp273abohAIbYUdTchZK6N58Zud/ZHTKZq+zNXVvc1Y\nJMkwc6RZvhuLIMuygZIStn1jo4TiYg0HD2ahvV3E6tUB7N7tRmmpio4OJr6LizU884wHgtCbV8yx\ne3+am/Pg9YrYuJE5czQ3y6b4t7bu5heop5/2oKqKjdvl0iNO9HbOJNbnrF0V7S4YseQjD+QiQ56p\nBJF+2M3x0bazwu00eUHeUEV2uZNGOOGRcbKhIxIlIeG8c+dOPPTQQ+a/d+/ejfvuuw8bN26M2NaV\nSG8iCaFYIgzhEzAXh8XFWp/uejxSG22figIcPpyN8nK/KZ6rqrogSaGFH+fO9RbcPfusx4x4W6PD\n3EFDVQXs38/SMmpquvDssx60tEhYsEBBU5Nsej3zZiu8gE+WDaxZ4zOdOsLHa7WZs0ZtuOsIL6jp\nfV3v5B5NMPt8Gvx+CXV1HlMY832mGsO5fEsQRGzYzfHW32z4zT1/LDyyW1ubN6SRXa9XRH6+btqB\nRiqIJrtMIlESEs7r16/H+vXrbZ+L1taVGLmE2tKFev4qioiqqi7TISOSST23dvvrX3Pw1ltOnDwp\nYd26K9i5M8d0zrAKdE0TYBhAQ0MWJkzoO1nyFAaHQ4eqsogxj1IDgMtl4MYbe/Db3+ZCFA18/eua\nud9x43SMHs1SL3bvdqOysjui3V6kJjDbto2CYQD33tsdIrzDrfzCI/A8v1zX81BaqoZEu8OLYLjQ\nj1RNPlgXFLubBYo8E0T6wufqujoPenrYqp2qCiG2l8Nh9Zafr0NR0KdAkVa9iGRDLbeJuLATWPGI\nLjuvZ/44n9z4khuPQtvt0+XS8cUXrGBOUYD6+mzMnq3i5EkXdB1m2sLYsQ5s3nzZbFu9YIFi2rnx\nbWprmfCsqGCJu9XVXfjd7zyorc3F/PkKCgt17Nrlhiga0HUBly8zEThhAhP2sgzMnatGtH8LR1UF\nM92D2Texc66tZSkf06b1elUDveLXrskAZ9kyH5Yt63vBsmsAEMkuarAuKHY3CwRBpCaxzuder4ip\nUzVMnqz3mXci7WOwvNq5vz+3GiWIwYSEM9EvkcSulVgbXFjbZXs8qvm4NT83mmC2Ul3dhc8/d6Gr\nS0BDgwOiCFx3nYIvvxRDJnKPR+3Tttrvl8wc50WLFLzzjgOHD7Mod1ubiKlTdZw5I+HiRRFjx7K8\nuIoKBS0tEtrbRViNZAQBWLSoBxcvMiEfCPQW4l25IuHaa9WQSvPa2jwoClBerkKSDCxbpuDSJQFn\nz0qQJAPjxrHzzs/XMW4cW3qUJKNPkwHuRNHZ2bcDFo9WW9+HRKK+iV7waImUINKH/n6j1pUk61xt\n13qbM9iR3+xszWxCFd5Mqr+5h5ovEfFAwpmISrInu/x8ZvX25JO5eOABZkRv7RwIwHYi5liX3ngq\nh2EAkyfraG1lxXyjRxt9CuV41DMQEK925PNA0wTcdFMQJ09K0PVe38/8fB3XX6+gsvKKWejS2cnE\neUGBjkmTdHz3u1fMfdfXZ6O52YXTp0WIIvDXv+bg7FkJq1cH8OqrTui6gOnTQ234dJ35S7POhX78\n9a8elJUpkGWYke+2NhGnTok4fz7nqpuGYb4/HLdbgt8f+pmEdxy0E9HxkKzvAF2UCCJzCF9JCu8C\nOxQdS/sbU+jj9lAqBxEvJJyJIWXNGh9qa9lymqaFtkDVNMEsCORir7Y2LyTXOdzBg0d+J0zQMXGi\njo4OEcePS7h82Y1VqxSMHeuAojDBXF+fjQ8/dGD6dNYdUBQNaBprelJcrGHGDDbRNzQ4sGePC5s3\nszbyqspE7pQpOiSJRZf5ODdu7MahQw5Mncpeq4fNuYLAqsxnztRCcpd58xWARUpuv70rJHWEVaQz\ngc0botgVPnKsNxjhHQcjFfAQBEEMlHDByeevQIB1OQ1PKRvsVSe+chlpVc1qyUnzH5EIJJyJqCQy\n2VmXv6yTbHV1N/bscZstsrmQ5AWBQG9xW7jFEJ8Y8/OZ53J9fRYAYNYsFX/5S5Ypss+eldDRoWHd\nOj927BiFQEDA/PkKRNFAa6uImppu6DpQW5sLQTCwcmUQb7zhRHm5Cm5Lbp2EN27sxlNPMcHf3Owy\n85sPHsyCy2WgvV3E/fd3QxQNM0qtKCIKC5kTR0uLhIUL2X75kiJP6XA4eiMl/OLj9YpYtkxBZ6eA\nRYt6sHNnTkQ7ufBIDzf8D3cqieczjGRHlewLDi2REkT6Y52Xx43TTU/ncAZqaRnptdaAAV+FtLOl\ni2bJSWlkRLyQcCb6ZSB5YXbRiAkTdIwfr2PPHrc5gQGh3ppWmze7f3NaWiS0tDhx4QJ73axZLGLN\nIsks8qvrwDvvSJgwQYcgAF99JaK6uhsOhwGXi3mMOp0s6syF6sGDDuTn6+ZxAwEmZFtbHQgGBRQW\nati/nxmTrlsXwOnTEmpqOvtEMVjVuRunT0uQZQP3399lPs7cOwS89BLrpnn77exY4RZ1/N/LlsU+\nmcuy0eciEMtFIdJNjp0dVbKgJVKCSC/CU+fC/Z29XhGVld24+ebkRHWjzRHhAQPrGMJRVVaEbUTI\nVqO5h4gHEs7EgBiI6PF6RZw7J2LaNN2MiNqJO79fMrfnEVM+GcqyYUaofT4mlFtbJYwfr+K++7rw\n6qtuLFmiwO1mkeWLF0XT+eKb31Swc6fbFNulpSrmzlVx8aKIY8dkVFd34eBBR8ixios1BIPABx84\nsGJFEFlZBlpbXZg6VcMrr7ig6wKWLesVnBweOb7+egUVFX5IkhHyfmmagNZWyXwvd+92m+kVmta3\nkUl40YuiiGZrcbsGBeFLpNE+RzvnDQCmJ+pALyoUTSaIzCHc+cjrFUPmi0g36EMxD/CAQSAgYufO\nnD7imTe5uv565qpEcxKRCCSciUGh7/IX81cG7F0zrMWAtbV5ZnMS676sbbbXrr1itrJmItaNCRN0\njBqlo7OzV3jOnKmhvV1EMCjg+HEJM2dquOYaDV9+KeDcOREzZ2o4epS5YbhcoS1Za2o6sXbtFdTX\nZwOAGY3mHQPPnmXCV9OEkIK80lLmFtLWJl5142AR8wkTdPM9kCQDoshuCkTRMNMr1qzxYds2Hnnu\nwp49btPiLjtbg6KI5rFEUcCWLb3vUbw3M3YXQr6vqqouPPlkLrZty8ODD16Ou9An1k6EtERKEOlL\nLDnFifi3R5sjwp9TFDGkRsYazHA4dLPJFc01RKKQcM4whirKNxDRE57SwCPLXBCqqgBNE0wRF95M\nxCpMOzrYeTqdBq65RsOlSwIaG2WIIrBkiYJ9+xwQBOavfM893XjvvSwYBtDdLeDQIQckieU1nzsn\n4tprVVy+LJq2b7wDVXieNT/u2rVX4HLpKC0NQNcRkpudn6/jyBEZhgEUFrLHmppYHva5c8zmzu9n\nUeLp09nzkmRg48bQ/OiCAg0tLU5zLNzKjufxDZRI3w+7mxldj7+NerzQRYwg0gO7lS1OeHvtSDfl\nA7k+Rds20nOybFAqGDFokHDOIAZjoog20cVq8cPbr/JxAUB3t4wnn8yFrgvYtKkLu3e7oaosSutw\nhNoZWX2eAwEBX3wh4ppr2HPjxuk4eNABw4ApRHWd5bLpuoCLF0W8914Wjh6VMWkSy7GeOlWDYQDn\nz4toapKhqgLKyxXs25cNSep1r6itzYNhMMeNt992QtPY+HbsyMUPf9iN7ds90HUBq1cH4POx8RUX\na6bf8pw5Kl5/3YnWVhFVVd3YtcuN06dFPPlkrpmqomkCDh/OxmefSWhtlfDgg5exaVMXfvtbD/bs\ncZnvTV2dB2vXMgs8r1dETU0nxo7NhdstobMztnaydt+PSE0KduzIxYIFLM1kILZSFE0miMzD7rfc\nX3tta5HyYAtZa64zQQwWJJyJiIQLLU4sKQDhPsoAQiKnO3fmmHZ0u3axYsGyMiUkvzh8DFVVXaiv\nz8b582yblhYJisL2LQjAjBka6usdOH1axNKlCk6fltDSImHSJB2axgR1QYGOjz+WoarMws4wWEvt\nb3xDxQsvZEMUDUye7MKcOX5UVXXhnXeycfy4hKIizSwu4e27+fgbG2V4vSKmT9fR0iKZKSasUQrz\ncD52zIXSUhVerxMqy+SApgloasrC/v0OqCorPNQ04Wrkmb0Hotjb+KS+PtssXMzOZvnNPp8W88VI\nVQWz2DEQ6D/y09wsY9kyI2Knwf4gwUwQmQsPqtj5w9vdOIcXFg7kWNEK1e3yr+nmnRgMSDhnEIMV\n5eNFYjx/LJpAC48080l148Zu7N7tNnOHvV4RM2ZoWL3ah2ef9WDaNA2FhTqWLu2OOvajR5nonTxZ\nx4IFTDVzV4rDh7MRDLKCwXHjdPh8AiorVQA9ANxobxfxj3/ImDtXRXs7m4jLy1lx4GefyZAk46qY\nlVFSwsRqYyNbe7zvvi4cPJgFQQAmTWLpGNOna/j2t33Yvp29L2vWsKITWTZM3+gVK4JoaHDg7FnW\neXDJEgVz5wbgcOioq/NAVZmYb2sT8fWvM8G9bVseCgs1VFb6IEmG6T7S0SGGFExGI9KFhr9n0T5L\na055IvmJBEFkJuFBFbvrTn85yQM9lt1r7QI1dsehgmUiGZBwzjCSOSHwZh21tXlmHq+d1U+kyUiW\nWQOOffvcOHJEhqaxgj+rM8azz3pQVdWF7dtz0dQk4/x50cxf5m25a2o6oShMiAaDzHmiosJvir+b\nb2ZCsrQ0gM8+kzB+vA6n08BHH8k4ehT4p3/y45vf7EFtbS4KCzUzB/k73/GhpcWJc+dEfPGFiA0b\nelBf74QoAvv3Z0GWYRbwORwsCuz1imhvZ9sePOjE73/vwaZNXdB14OmnmWVeTU0nduzIxYQJOvLy\nmBjWNAGff87E+Pz5bJ88krx6dQAzZwooL/dD0wTTMumppzwQhNAbkPD32e2WsHnzlyGP211oeNEl\nwCL3zc25/X72dh24CIIgrMTTVGSwbC25h3S4d711tYxynolkQcKZiIp1ErIrIIuWNwuwgr6JE3Xo\nOhOhPE8XCPXbnDhRx5kzErxeEYsXK9i3z4nf/CYX99/P0jO++II1NVmwgNkJWdtjW6PhvFHJhQui\nmeusqgI+/phZyAlCb/6zKAKvveZEfr6Oc+dE/OUvWVi7NoCPPnLg4kURkyfrKC9neRUul46bb76C\nigom4A8ccKKtjaVwPPWUB5oGTJnCXDN4gePp00xk33JLEE1NMtraRLNgUJZZJNkwgMZGGa2tEsrL\nmW3dTTcFoWnMZo9HmwH7i47Pp0V8LhIuV2yRH2p8QhCEHdFWpWJpWBJvcWB/8xAvmLbaddqtfBJE\nMiDhTERlIOIpPKetvV3EddcxRwqrnzEvwpNlA1/7moZz50RIEjB+vI6yMgXNzaxw7/Dh3mh1RYU/\npHV1bW0etm/PxeTJOlpb2fG4t3NZmYKbb9ahaQLeessJUTRQVdVtRpLZsQFZBiQJCAbZct+pUywS\nvHatD6++6g45N+56IYrAddcpKCrScPasC4YB3HCDgj17XNixIxcbN3bj5ZfdpjCeMEHHDTcoCAQE\ns2Miv/DU1XnMvOja2jyUlqpobpZNe7rwwkruPqIoATz5pBO6PqpPBCXcwWSgIpganxAEYYfdqlSs\nDUvi/d33t63dSijvYmidPynnmUgGJJyJfomWJxarz6bVgxlgk5rVc/PgQQemTdOxZo0PTz7JHl+x\nIohnn/Vg+nQdZ86wnGhrbi7bL4vwjh2rY+xYHc3NLmzc2I3WVgf8fgEvvyzj298OQhBYLnFLixN/\n/7sTZWVMyE+cqGP0aB1z5qjo7hbw4YcOCIIBQQA6OmScPi1C1wUEAqKZyzx3roq2NpbeYRi9vs0f\nfeQIOX+vl0W9eZT5/fcd5rnz90dVpZD3VVGAQ4ccqKnpwscfu7B7t9tMkeHRnUBAQEGBBlEEpkzR\n0NYmhuzDrqDT7vPpj4FEhyiSTBAjBzsv5VTBTkzTvEQkAxLOac5QCxW/X0JdncesWubimTfmsMt1\nC1/O27ixGydOONHS4jI75QUCgpnzy9E0JjJXr/aZbbq5SGXPC1i8WMGJExIaGx0oL1ewf78DDQ0O\nXHst266sTMHu3W7U1HRhxw4Pzp1zorRUxUcfyTAM1jwFAHw+ASdPSjhzRkJhoYaJE3WcO8fG43IZ\nUBQ2Rua6oV/1ODbQ3i6itVXC/PkKzp0T8cMfdmPPHjd272aRalEE1q/3QRQNs6NVTU3nVYcLGfX1\n2Th5UoIgAAcPZmHuXBWFhawt+cmTEiTJwKZNXXC57D/f9etVyLLffM9VleVICwlaMA8kOhTra8iq\njiDSi1htSflKoN22g/W7t9svD9S0tPSm9/HzoDmHSBQSzmnMUC95c9FstVyzjoN3++N2afzx/Hzd\nbB5y5YqEV15x4+xZCTfdFER5uR8AUFho7RLYadq0GQZQX5+F2bNVFBUF8dvf5kIUDdx4o4Tf/c6D\nQID5KI8fr5tFdYoCzJqlor7eicZGB+bPV8yx8sYkzc0s7eKaazQ0NDhwzz3daGjwoLBQQ0mJhvx8\nDQ0NLP953TofvF4HysoUXLgg4vXXnais7MGXX4rYv98Bp9NARUUPli4F6urYublcrMGKzycgO1sD\n71zF0yxeeikHosh8n6dO1SBf/SU2Njrw1VcsF1sQgGnTQj9TflFSFBF/+5sb27e7sGmT33xs3z7W\nQVEQENKQYChQVSFiAWk4dPEiiPQgnuuMtQg5kmPPYBCeEsJT3jo6xKu2moPvIU2MHEg4jzCs3fri\nIbwVdmVlt/l46HbAvn1us4CvtFTF+fMijh5lNnA7dnigqizSO29ejymwucCTZQPZ2ey5hgYHJk7U\ncfSojKYm4PbbdQgCi1Dv3u02J8aSkiD27MnF1Kmamdf2l79kYfJkHfPnKygtVfHuu1mYMkWHKAIl\nJUGUlbFUi7ffdmLaNA319Szam5dnwO028OKLbPuvfU3D3/7GmrPMnavi2DEZU6bo2LnThfx8HQUF\nOiZM0PHMM8wBY8IE1mBl3Toftm9nLhvl5b0CljdVmThRx+nT7Abk3DkRssxcPo4elXHqFIuSzJ7N\nGqhs25aHBQtYzjfQ2xzm3DkJ+flaH4Hc2irFFHHub7UiPE86GtaW47zdLUEQxHDR3CxTYSAxKJBw\nTmPiXfry+yU88QS7637wQfvWqf3hchmmu0a4jyf3Lj50yIHm5ryrtmcyAgEBCxYoyMtjopftwweP\nRzXHvmFDl/k371xXUMBynp96ikWWGxqcWL8+gBMnmDA8elSGILCbgM2bO6HrAp5+2gNRZCkeZ89K\nuHBBxKVLIs6eZa2rW1tFiKKBjg7m0iHLBubMUXH0qIzJk3W43b052K2tEtrbWR50a6uEefNU3Hsv\nu2F46ikmitvaWB6zqrIiw/nz2Tlx5w5BMNDTI4bcqAgCzALFzk4B0tUMlYMHs3DttcxXurlZRl4e\ni5RzSzzmEALU1XmwYUMXNm0KYts2R0jHLu78IUlG1JujaM1twivSgejLm4oioq6OfUYul0EXKoLI\nIOK9zvAajuEiUt41pYcRyYKEc5oz2JOANaJsjUBaH+c+ni6XjooKvymW6+uzAbCmG+3tIg4fFvHf\n/7sfDQ1O7N7tDvHctDpxBAKiGTkWRQP3399p5lVPmxbE3/6Wi4kTdVOsqqpg+kz/4Acsx3jGDM2M\numoayzX++tc1OJ3Mjm3Dhi5cuSLh5ZfdePVVF5YvD2LKFA319U4AwLe/7cNrr7mvCm2W1sH8nlkk\ne9Iklg7xX/9rEI2NMgoKdHz72z48/bQHmiZgwQIRt94aQFOTjKee8mDz5s6rAr9XpAYC4lX7OXbe\nu3e7zTSYqqou7NyZY1rcVVT40dGRY3ZKDARE7NolmWKVd2TkOefWz66/70h4DrqV8Hz2SHi9orkS\nQRcmgsgs4vlNx5KqNdj052lv3YYg4oWE8wgiO1szI82xpGpEamPKW2rzfNt9+9zIyzNw8CDLF+Bd\nApubZfzwh9145hkWjZw2TcOnn8rQdVa0wU3recEcwITa6dMiyspUHDrkwOHDMqqqus2ufAATwm1t\nIpYsUdDdLZjja2mR8MwzHkyapOPyZQFtbcz1oqxMxXe/y15fXt4rWEURaGuTMHWqBo/HQDDIXpOf\nr+PZZ1nkuqJCwcmTEtatC+DkSQkffuiAJBmYNk3H2bMixo4Vcf68CE0T8O67WZg2Tcf06SxvGmBO\nHoWFzGua5zrzmwMOT4FZsSKINWt8IZ8N93KWJANeLzufe+/txs6dOWhpkTBjButeaGdZZ20KEP55\n2zmehD9nFdTRoGI/giCA1J8LyAqTSAYknEcY8eY2h8N9h1tamKDbuLEbH37ICucCAebocPBgFior\nu80iON7tb/16FpGdPZvlPRuWFX0e2Vy0iAnV3FwDoshSO3iOsdPJ2lqXlamYPl1DXV0WAGDJEgGr\nVrGcYkURsHx5EPv3O6FpAhwOA1Om6KbLRXm5gosXRQgC0N0tYNWqAD7+WMY//iFj9mwVBQU6Zs7U\ncP68CEVh3f4mTNAxZYqCyZMVHDnigK4LKCrSoKrAqFEG1q5l6SOjRhmQJB0nT0rQNAFOp4Hrr1fw\n8ssu/OY3uXjggU64XDrefDMHH30kQ9cFXH+9AsNgEe3PP5dw8KDHnNArK7uxb5/b7KSYn8+i7M3N\nLni9IhYuVLBkiY66OrcZeQ4ERNO9o7SU3XxYUzmsWDsKcoFt9X12OGJf3qQLEEEQQPTGJ9G2Gayx\npKpdHpG+kHBOI4ZiiSnco5m3xgZYw5JwRJF7HoummOzoEM0UDK9XRGGhhsmTdWRnsxSEd97Jxn/5\nL0EcPSpDUYDvf78br73G/Ipnzw5gzBgdH37oQEUFs5o7c4ZFl/fvd6K2lvk633hjD5xOFwCgvj4b\nkyezQj3DAI4dY136pk3TMGeOiiNHZNx4owK/n1ne6TrQ1CRDloFJk9h72dYm4uxZJyoqFBw44DB9\nns+cYSL72Wc9mDiRFRuWlGh45RUXCgt1vPeew8zpa2xk9nGTJ+soLGQFgkePuq5a19mTl8cKKNvb\nQ28kAFYoyUWzoohoaxPNm5ONG1kk/+hR1rGwuFjD2rVXsGNHrlnAuWhRDzo6xJiWTr1e0TY3mQQx\nQYxs4r3uhG9vdVfic9FQRHvtxp3qEXEiPSDhnCYMxRKT3TFkmaUIhDcsAXqbmWza1GVGdG+77YrZ\nXS87W0NNTTfq6tw4f743PaGx0YHmZhYJNgygpcWJ06eZs0RDQxYuXBAxYYKO/fudmDpVQ3m5Co/H\nMPd7441BNDe7MHGijuXLg3jnHScOH5Zxxx092L/fiS++EFFRwZKBX3/daRbfjRrFJm7WjluAYRiQ\nJFasJ4qs+O7yZWapduECa7jyzW8G8dJLWVfdODTs28dyoO+9txunTjlx+rQLisJyrbnwnTRJR3s7\nE1suU+gAACAASURBVKJXrgj47nd7UFiomMWQy5b5kJeXjTFjmDuHpgnmzUVlpc/MVw4ERDM9o67O\njWuvVfHVV+LV8RoQBAH5+RrWrLkCl0u/6g3NvKbXrGHRff55RWtiQxcSgiDsiNeKzprexd1/hgrr\nnBZt3Px58nQmBgoJ5wxkoBGCSI9zx4xt23rzXa0+zUBvDrQkGSH5ttnZTBAePixjx45clJaqEEXW\n6nrdOh927XLD62UFeBMn6mhsZI1JKiqCmDFDw+nTEvLyDDQ1ySgtVVFSouE//oMVHd56awAvvJAF\nVWX50w0NTlx/vYL333fgq68EzJqlYv58AaNGGXj/fQfGj9dx8aJoFrIVFWnIyTGuduUDrrlGw+ef\nS2hrYyJ+7FgdX30l47bbelBf78T+/U78j//hR26uejU/mkXTBYGJ6tJS1WyxPWWKbkaaT5+WMG1a\n0HzvNE3A2287Te9qQTAwcSKLou/fz9JPjh2TMXGibopygN1wbNrUhaef9lxt2x3Er3/twI4duWbh\nJvfX7u8CZ3dRoaIZgiDigc8ZPIVv3DjdrDfh7j/Wm3NOsueYaB1To20bj+UmQXBIOKcJsUYG441M\n+3xaH1s5jvVxl0s3RZndkv64cX2Pw902li3zobm5V3SXl6tYtKgHAHDmDOvWV13dhXffzUJbmwiH\nw8DBg86r6RY6AGYH19oqYdYs1YzsTp8ehGE4IcsGFi5UsGePC6tXKwAcuHBBRGNjNkTRwNy5KsaP\n1zFqlIExYzTMm6dCEJhQ/7//NwuGwXKWs7MN3HCDgp07XTAM4OJFZlk3erSB1lbJFMUXLzrR3i7i\nW98KYvRoA93dAubN6+mTJvHkk7lYujSIEyckbNuWh82bWY7zzp05kCTWdbCqqhuvvOJGe7uIZ59l\nRZTcj5r7OfOuV+HvvdPJLlqBgGBepKy2fjzNJlKOsxUqmiEIghPLilR4CoaiMB//9nYxxHfe7rVD\nQX+2ePn5etRmLQQRCRLOaUSsP+x4fDR7enQEAuxroKqCGUm2c1qwijL+/5qaTtNKjeev1dR0QtNC\nLc6sLg2GAZw/z1I7nE6WI+10GvjqKxHl5SqKijT89a9ZEARWDKjrwOHDbIwuF7BiRRCXLwt4/XU3\n5s5lvsd/+5sL99/PUkhEEdCvvgXcku7IEQdcLsP0ZC4rYxM729bA9Okajh6V0doqoahIQ0VFEH/+\nMxvDqVMS7ruvC++9l4XGRhnz5qlobZXw8ceyeTPB00icTgOrVjGhO3++gvp6h5mK0dSUhXnz2A3D\nlCk6Jk9mDVm+9jUNmgacPy+aHQPXrWMpL3bREL4CALjxk59oeP55wXzvrdvyNBv+2Vrt6ig9gyAI\nO2K9ie57jWD/CQJLR7v55vgjuT7fwFI77IoAI9V2xOsaRBDhkHDOQOLx0czKEkMiydGWsaxL+nzS\ntHYTLC1VTXcMAGZnP46mCWY7aEEAWltFVFd3o6XFiaamLHi9bLJbssSPGTOYndvu3W4YBrsZKCnR\n8Nxz2RAEA+vXB/CPf8gYPVrH+PE6ZLk3GitJwIwZGubOVTFuHMuVZg4dwPjx7BxEETh3juVCHz8u\nmU1VACa6z5yRMHu2ivx8HVeuCPjHP1gh4pQpLN1j/nwFsgy8/TbLea6oYK2/T5xgLcXPnRMhSay9\nd1ubiBtvVFBXl4WGBgd++MNuvPoqy/uuq3OjtZUVFc6bp0LXe1MzgFDBqygi/H5W3Fhby/LNH35Y\n7XNDw7G7QPALYaRt7fYzUCj1gyAyk3A3Ho6dL7/13/3t84kn2PabNsWffxxPESB7TKRUDWJAkHAe\nIUSawNxuCRs2fGk+pyiiGbEOb3ZiLbrg3QDDGTeut3L64kUR48bp8PslPP20B6WlKiZOZMJz5kwN\nM2eydtYtLdLVRifdptfxhg1dpuCbMEHHuXMirrlGgygaZu7wPfd0Y9cuN86ckeB0sgk7EBAxe7aK\nV19lgva661RMmKCbrb+PHGFR5rVrfViyxMCOHbmYMkXHrbf6IIrAqVNOvPqqE2fOSFi6NAifT4Ag\nAAcOMCGfn6+b4nbRoh6cP98b0T10yAFNY223uZ3d2LE6Jk7UMW1aEEVFDigKsHOnG2vX+vDqq26z\noYkgsCVOr1fErbcG8dJLOWhtZe9LebmKigo/mpqy8NZb7LyWLWOWe+GfafjnzC8QsZDMiwelfhBE\nehLPTTSf6+1SHqJ1J002/dndRXL6CB8bQcQCCecMw27S8/ulqLlc4f/mk2EgIPaJVqqqYOYYnz8v\nYuPGblPM8nSNqqouKIqA5mYXGhocaGryYP58ZgunqgLKyhTs3++AYbB855YWyXSKsAp15srB8nTn\nzmXbzZ3LosC7drkgii4sWqRA15no7O6W0NDAiut4VDsnh7W19npFTJnCzlPXgXPnHDh82IFbbgnC\n5TLw7rtZuHRJREkJyy9ua2Md/J5/PguLFzOvZcMQsG6dD7Lc6/AhyyxyfvGijNOnmX3H8uVBjBpl\n4ORJCceOyWYKSWsra889d66K//f/ssxIjaKIaG524bPPJEyfrptinJ/HF18wb2a+MgCwyPlPfxrE\n2LEudHTA9nOO9p3gx7X7/AmCGNnE4tsej+AMBETTlSnSjbTDoWPLFn7NiuwF3V+uNcBWS63uHpTL\nTCQTEs4ZSLg4qqvzmA0yYiUQYM1LJk9m+8rP740cT5zI0iauXGFiedw45pqhaayhB+9qV1SkQdcB\nXRdwww09OHrUA01jqRTcBq6iwo8bbujBJ5+4sGNHLqqquswJtqqqC5LErNXa22X8x39kwzAkjBoV\nhCCwQpTPP5dw/jxrnLJjhweSBLORyfjxOvbtc2L16gDGjmV/r1zJ/KPff98Br1fEmDEiDh9mIn7F\niiAOHHBAEIDKyh60t4uYN09Ffb0DBQWszbYsG+b4eAFfQYEGr5dFhwEgL09FaakKSXKZPtGKIkLT\nmPj+8kvmIiLLrFU2v+HYuLHbtADkNy0ff+zC22874XIZqKzsxrXXBtDc7EJdXRYefliN+DnbpWfw\n7TiDGRGmPGqCyGysv2u737o1VSzWa5DbzYIPfn/o4/GuYPXX6ITmJyIRSDinIfFGCrn92tq1V/rd\n1uHQUVXVhfr6bBw65IDDAVPM1tWxDn4AcOWKgEWLekz/Zl0XIElGyGNeLxOeFy6woreCAh3jxrHU\nBU1TIUkwj1NQoGHRIgWvvJKDCROYSH3ySSZQp03TMXq0DkFgvsvTpmkYP17HiRMSGhtZC2xBYD7K\niiLg4kUmTC9eZOf92msspaGwUEdTk4xz51j0uaxMNW8Mpk7VUFysYd8+1tBk924XgkGWu11YyNIz\nPB4D9fXZIe+X02lgwgQdx49LKCtT8cUXInbsYBH2pib28+roYH7K5eXs+dZWEfffz/KSa2vzoCjA\n9Om6KaBrajqxc2cOTp9mftPcWSM7W4MsGzhzhkXDs7J6m6OoqmB+zpWV3bbOJ9aLT1VVV0iEJlEi\nNRsgCCIziJYOEa1bIC9S5nPTYN6kAzCtU+fPV7B0aQ+ys7WQ57l/M81PxEAh4ZxmxHvnHa1AzA6/\nXzJbNnP7NE5rq4QVK4JoaGB2bx0dTOhVVnZj2TK2jSwbWL3ah/r6LFy8KKKwkNnAvfoqE9MXL4o4\nfFiGYQDz5rHiwcJCDaLImo+MHq2juZmJ2/x8lrYwerSOxkYH7r7bj64uAc8/nw2n08DixQoqK3vQ\n0iKZaR9ffCGivV3E4sUKLl0SUFio49Qplym6z5xhzh3f/GYPXnnFDY/HwOrVAfz97078279lY/58\nBWPHGqbYV1XghhsUfPCBAydOSJg8WTcLSlRVgKKIaGjIwoQJOjweA83NopmDLcssql5crKGzU8A3\nv9mDXbvcZg6538/aebe2MiHc0iKFfBb5+cx1Iy+PtR7nEz4vBnS7x+DSJQUvvphrCm5roUukiEp4\nM5tI34VYb9Aon5kgMpto3f/s5onwOSHR6G5sxX69c1ZhoYYjRxw4dkzGvff2ruTRPEUkAxLOGY71\nrj/8cZ9PM5fG+GNWlwyXq/eunNvOiaKBgwcdIfviYs3vl7Bt2ygYBiuQ83pFfOc7QezaxUTz/Pms\nQM9aPNjaKmHVqgA+/lg2W3drGut+V1LCmoscPSpj1aqA6agxdaqG9nYRs2cHsGOHB1Om6GhsFDF3\nrmpGqxsaHFej4yruu68Lx465oGmApgHNzTIWLWIR8bY2EWVlzM1CEJgl3qJFPnz2mYSJE1mk+eRJ\nCWfPMnHOc5yBXkeRFSuCOH5cwtGjIjZt6jLzvQsKdKxe7cP27SziPH26A2fOsPf7889daGqS4fUy\nh46WFsnMeZZllpbxm9/kXU3vAN5+Oy8kmuxw6Lh0ScHjj0vm5xVezGkHb5vOhbNdZJp/F+gik568\n+eab+N3vfodjx45h9erV+MUvfgEAqK2txdNPPw2nk63AjB07Fm+99Zb5uj/+8Y945plnoCgKbr/9\ndjzwwAPDMn4ifbAK6kgrXUByVp/iuYH/wQ+68eyzLDXwr39lLkc1Nd1RX08QsULCOc2IJzcr3FqO\nRzp59FkUBWzZ0tc3k+fTWu/irYKaRzatY1IUEfv2MZcIhwNYv96HPXvceP/9LFRUBPGXv2TB63Vi\n+nQd997LJrCnnvJAFI2rTUVEfPvbPrzyihuFhRpuuIGJyfHjWWpHVhY7nmEI+M53mCPFnj1uSBKu\nWtExId7WJqKgQIemsfSRjg4WOb50iUWBFy5UMGWKYuZeAywC297ObPLGjtVx8CBrsd3YKGPaNNYW\nXBQNGAbg9Tpw+LAbq1f7oChM1HZ2ChBFlm7BW19z/va33ghzS4uEqVM1TJqk4/XXnVBVATNmaFi6\ntMd8r7nF05o1PgSD7AZCsgSiud1fTU0nXnlFMPMG+edlvZBxeIT6xRdz0dIiweUykmrDRPmCqUVe\nXh6+//3v491330VPT4/5uCAIWLVqFX71q1/1eU1TUxO2b9+OF154AR6PB9/73vcwa9YsrFy5ciiH\nTqQo1t84n9+sLkwtLZI5dwFAZWX3sM0JbEXNg4ICHfPmMYclHswg+zkiGZBwTkP+P3tfHx1Vfa77\n7K+ZyWSSCEkg3xACtCghIeBXQyCgVkXFIPXQr+M5t2epiFAuPbXnYx1v1zrtP23POohoQHp67+p1\ntdXbRmJAbKtCIERAMQkJ6KkQQr6GAAmSSTKTPfvr/vHm95s9k0kIn6Ldz1ouk2Fm7z2zJ+9+9vt7\n3ue50j96v5+KnGFEiN3wsBml+ZpIsWOkmRVQXZegaSTByMoy8fjjQ3C7Sc/84YcKjhxRUFys4ZNP\nZKxYEeTa5fXrB7BrF3Wj16wZxLZtPmgaSS4yMzX09orcg/lrXxvGsmUiJk0yIUkR549FizQEAkSm\nW1tdKCgQ0NoqoaiIYrH7+kQcPOjB0aPyCIEWMXmyhKwsEwsWaDAMYGBA4O4YqakmGhsVKIqFJUs0\nnDghoaDAwNy5Orq7RezY4UZ2tok33/TiwQfDnNA3NMhQlOjp8TVrBqOCYdLSTFRUkO1dc7MPsmyh\nomKIP7+wkDrmbW00hMns/vr6KImLpREC5Int90uYMcPAo48OISEh+gYoNdXEkSO0MqCqYpTkhp3D\n8c7x5ZJh50J08+COO+4AABw/fjyKOFuWBcuK3xH84x//iK9//esoKCgAADz++OPYvXu3Q5wdcDCi\nHOvcY69hrO7EppXeCAcfVrOYxrmzU8I3vjGE738/zOuwQ5odXAs4xPlLjFjyw2x5KiuTsH59AF5v\nIn7xCxmmmTJmMAYDSwNkNmybNqVA08hara9P5MEi586J/Dl33z2MI0fIsWLyZItvw7JIg9bWRkvG\nFRVDqK5OhKoKcLlowPDNN72YNs2AIJC+d+dOL+bO1XHokILubg+WLQsDIFcNQQAOHPDg7Fnyei4o\nIBJZV0fE8bbbdOTmUhBJQYExElqiobk5orXu7hYxd66OOXN0tLTIPHkwLY0CVBTFQkYGdaULCgzs\n26egu9vF0/8efDDMbeNUlaLGmeNIdzc5aly4IGLnTi86OkR+gwFQqEpnp4ieHhGzZ5MMBSDHEYBk\nFX6/iPLySOy5223iued0/OY3AqqrE1FRMcSlNUzT3tKSPOIbncjjuFkMukOGv/yIJcmCIGDv3r24\n8847kZmZiQ0bNmDp0qUAgNOnT+P222/Hr3/9a/T09GDBggXYtWvX53HYDr4gUFWRz8PY5z5aWqLT\n+G6k7Csy3xGAJFm8oTBWSJQDB1cChzh/CTDe3bz9Mbu8QpYt7sowHuzewCwJcMWKINLTTXR2SsjO\npsG9zk4Jq1YNo6FB4XICpv8tLFT5cAYA3HNPGPv2Kdi9m6QbAHUq7rorjHCY/J9Pn5bQ0UEWbYcP\n06Ahi8hesiQM0yRifP/9FFJy8qQEv5/I5wMP0GOmKUAQLBw7RlriRYs0JCRY3IWDSTUkibyds7JM\n1NeTZV1amok9e1xITzeRl2egs1PEHXdoOH1awsWLArKzKZQlPZ3ev99PKYTNzSKysw1MmUISj7Nn\nRTz11CAEgdL+cnKMkdRECaYp4KWXfMjKMlFWpsHns7B7t2tELxgcZcsny1bUBYDOn4X2duqw2DXQ\ndg9sexy3YpOnOz7OX24IghD1+4MPPojvfve7SEpKwp49e/CDH/wAO3bswPTp0xEKheD1enHy5En4\n/X4sXrwYwWBwzG2npqZe78O/7lBG/hi+6O/lRr+PH//YwPCwiZ//PAnDwwIKCgxMnpzE52V+/GMi\nq17vJAAUo52TQzUmOTkZXq/Eo7XtMzbX4r0EgwZPH3z+eXPU9m8knO/XzQdFUS79pAnAIc5fcFzq\nbt5OjmI70F6vhOefNxAIxHdWsHsDT59uoLFRRmamia1bfdB1oKREQyhEXWLDoCG6tjYpKqijrU1C\nSYmJLVuSMXeujpQUCiTJy6P9rVhBBPHuuzX87ncJyM42UFysw+WyEA4LOHjQg+PHqQNcWEjWdm1t\nlOp3//0W3nqLorC//e0QPv1URkODjK4uEZMnW/jGN4ZhWUBVlQeCQGT56FGSk3z2mYjly1X4/SKm\nT6fjDYVIw93UJKOzU4KiENHv6RGxZImGvj4RyckW9uxxQZIsrF07CMOgbTL5y6JFGu+CCwJ1rA8c\n8ODixUi0+fe/T0TYMARkZpro6JBGgmMGYZpudHVFir2qCqirS0BLixz3HD/+uIFNm0Skp5OdXlUV\nDSKuXj2AhARjzE7LjUz1cvD5ILbjzGQYAHDffffhjjvuQF1dHaZPn46EhAQEg0H827/9GwDgnXfe\ngdfrHXPbP/nJT/jPixcvxpIlS67x0Tu4WcHIqCAI8HgsfOc7FrxeOerfg0Ejavi8u5s1aSwEgwZ+\n8hNGbo1rQm6DQSLzhGtjsengy4F9+/Zh//79AABJkrB48eKr3qZDnL/EmMgSmdcrxU1pYvD7SV+b\nkUG2bsxiTVGoU7tnDwWMuN0Wqqo8vOsJkA6XDcvNmaOjoYG+biyERNeB+noP5szRuXyjs5MCTdau\nHUR1NV24MzNNdHWRvKGpSUFOjoHXXvOgsFCHINDr/t//88AwBCxfruLtt10QRfKN7u4m14reXiLI\ngYCApiYZpilA08j9o69PxEcfKfjWt0L45BOSbzBfaMOgoBWvl0j69OkG3G4LpgkcOuRBcrKF7Gwa\nYNy/X4FpCli3bgA1NRQFLgj076JIjhxs6ZDpw6dMIfcRSSL5xQ9/2A9NE1FT40VpKWmcA4FI51DX\nBSgKnVvqrLiwdm0AL7+chHPnREyZQvZ2qhodk8507PEwUatCB18sxHacx8P06dNx6tQp/vvJkycx\nY8aMMZ+/du3aqN/7WHzlFwisg/ZFPHY7bsT7iLc6tWEDPWZZJuy7HhyU+c3+xo2fjTyHrkOBAKWo\nmmbkd/v150rei6aJI4PP8sjgcz9k2UIoZI4KUrmRcL5fNwfmzp2LuXPnAqD3cuDAgavepkOcv+C4\nUpeNicalsvCTI0dIdtHWJnHrIQBITk7Azp1uCAKwYQN1OUMhCVu3+iAItB/DEJCVZaKxUYAgAMGg\ngHBYgKJY0HWyh5s/X8eKFUG88ooPhkE63Dvu0PDGG7Tt731vGKpKEhNRJGLb0KDg4YdVZGSY+K//\nomCSYFDg8g/GG265xUJOjo5XX6U47uXLw3xYsKWFiHJenoH+fgpOKS7Wcd99YZw+TRZ0M2caSEiw\nMH++hgsXRNx3Xxjd3SLOnhWRnGxg9mwDc+aouHCBbI+Y9IMdA/NyZo+9+24iGhpkyDJw6606iooo\nDGbLlmSsXx/Atm3U0U9JoRsFl8vCs88OoLo6kQ/dxII5cCgKuaLU1SWgr488tscixbHuKLHfFcDp\nQH8RYZomNE2DYRgwDAPhcBiiKHJ9s8/nw/79+/HBBx/gn//5nwGQjOPJJ5/E3//93yMpKQlVVVX4\nx3/8x8/5nTi4GTBWAyZebRgclLFpUzIsC7j9do0/L/YadS0dN3RdQGqqyX3wnQFAB9cbDnH+EmA8\neYa9QIVCE18SsxdLZnp/660qTpzworNT4t3kwkJ1ZNguso99+zxR8aqSZGFoSOAR3CdPki1baqqJ\n5mYZJSU67rprGNu3k943Pd1EOCygvV3ind8jR2RIEvD1r4fh95Nn87FjJMsYHBRQXExFOjOTBvcA\n4PvfH8apUyKOHiWpBxtu7OqiIULLIicNUQRKS8N47TUPsrNNnD8vjljPkZXdgw+GUVVFpLukREN3\nt4imJtrH1KkmentF7N1LNwpr1gyitdWFsrIwJk3ScfCgB5YF7N+v4OBBBU8/PQhdB7856O8nC715\n83TueKJpRLYlid47S2u0p/wpionnn6fzHghEhgZXrRqEYQjYtInIst1BJd65ZRdC+/fkcuQ/Dm4+\nVFdX41//9V/57zU1NVi3bh1OnjyJf/mXf4FhGJg+fTpeeOEF5OfnAwDmzZuHZ599Fk888QR0Xcc3\nv/lNx1HDwWVB00TU1SXwFbuystC4JPta7TPSGAhEZQ84dcrB9YJDnG9CXE5iW+zz4pEeTRP5kB/r\nFo9Fhhh0nTyCAeqWpqaSthkAVq0aRnV1IlJTKeVv4UINZWUhyLKFF18kS7ny8jDmzVMBEHljnszn\nzxNRpXhrFxYuJBnFgQMehMMCOjslFBbqePNNL8rKwvD5iHwzMpydTSS+oEAdsY6jr3BmponubrKO\no6FAoLWVSDMlBkrIyzNQWhrG6697IMskk8jONlFQYOD9910oLibJyIULZEvX1UUdZ0bMe3tJ43zq\nlASXi46rr4+eaxhEwmtqvBBFIryS5IJh0H4UhbrCO3Z4IQg0IFlSEoJhCDwMRZZpYJF5oS5aNMxD\nYdzu0V0bpg0MhcwoLbOmifymJd7r4mEiFxcW7e3IOm5uPPbYY3jssccu+3VPPPEEnnjiietwRA6+\nqGDXhYl2iFtaZNx+O10PfD59zG1eK5cNXRd4Y4dZbrJjdgKcHFwvOMT5JsNEi8pYz7OHb8Q+jxUY\n+/J8MGhEOWew56xfH0B+PnVlP/1UwsyZxohtmoQLF0S0t4vQqMmLvj6yoNN1YaRDTN3ijg6yYyM7\nOurMMvLs89Hw3kcfUcKfIJBcwjSp+KalmXj/fRcEAZg+nSK5zZiPwhiZQZRl4L77whgYoMCT//E/\nQjh9WkJTk4yZMw20ttIwYVqaiU8/JYKalWXillvomOrqFOi6gLQ00jubJlnOsX3u369wzXRdnYLi\nYh1TptDB3H03dcozM0089FAYTU0y8vMN7N+vQBCAtWsHuRn/1KnkcZqbS/HaRUU0+HfkiAJRtJCV\nZWLbNh8/B4piorw8OEpOEU+vbP+dWQ/GPm7/90vF18b+e7zvkQMHDr68GOsaM1bDhj2PIRSSrqts\nwt5tZvXOHvg10W0ATlfaweXBIc5fIrBCYu8q2zvJ9khUFrn9k5+IMM1kToZSU6MLiCCQ5pfFQ5eX\nhyEI4DpiFlyyZUsyCgt1blnn94soLNSRmGihtpakHOvXU/R1crKBXbvcKC8nzbQgALNmGfjsM3Bi\nffSoDMsSsGrVMA4fVrBokcYdL9LSSM92yy0W5s+nLvHRozIaGxUsWRLGb37jgWEQwTtwQMHcuTr2\n7SMnjPvvDyM5WcO+fQo6O8m67uxZClkxDCLpFy8KqK52j0Rsq9zRwjDoxiQ5mT7DvXtdOH9eRGam\nifZ2EV1dLmRmmggEBFiWMNJ1pi5yZ6eExx4je6+eHvqcX345CbpOw43nzonIyKDOdEUF+TvbUwS3\nbaNuPztPGzf2c0unWNhvhMa6+Rrvhmy8f7d/j5yLjQMHf12ITaNl3s32RFMAqK314sgRBW63NaoG\nXaukUVUV+aoo1a1o69VL7eNG+ks7+HLhuhLnnp4ePPfcc2hpacGMGTPws5/9DLNmzbqeu/zCY6JF\nZbzn2bvKY+lXs7JMrF6tAyBSy7SxzNCebScry8Sf/+xCOCwgL8/gumMW6lFfT9pfVRVw9qyIqVNN\nHsah6wJqa718SM/jMVFUNIzGRg+mTTMwOEgDbYIAnD4tjXghh/HxxzK6u0Xk5RlQVQGzZxs4cCCi\nEe7tlfG739EwYHGxhsZGBQ89pCIzU8WxYzKmTjUhyxiJ3QYmTSLvZtMEmptpKDA7mzrhzc0ybruN\ngk8OHHChqUnCggUal1scPqwgM9NEWVkYfr/E3TPmzdMxbZqB06clPPywitOn3dB18qP+7DNy8BAE\nICHBwA9/2M+1xi0tMjSNbkaOHKH3v3IlpQm+9BJ1ppl/c2mphj17XHjjDS90nUh4aioRZ10XuKXT\nhg1iVDeIWQgyucZEMd6FxInVduDgrwvj/c1nZZlRq5RtbRJycgw0NCSgrU2CpgGiGEmYjbXPvdoa\nomkUvpKbS82Dqiovzp8XnUhtBzcE15U4P//88/jKV76CX/3qV/j1r3+NjRs3OmlUE8B4f/Sx+nd7\nDQAAIABJREFUvsyxr4tX6OIVvbY2CS+8IOJHP9IRDpNDxpYtyVBVgQ+aZWVRbPbp0yIEwcKKFUH8\n8pckJWADbgDw5JMULc2IaUtLEjZuJEug8vIgysoEnuIUCCg4dUqCaVJ3d+pUOrbp08N4/30PXn01\nAcuXqygu1tHYKMOyZBQUEIHOzTXwyis+3HdfGMyiNjvbRHOzhTNnRJw/L3JSLwjAd75DccMffyyj\nokJFb6/IddWMwGZlmUhJsfD733ug6wJycgycPUvOGaGQgBMnJMgy8MknMnp7RSxdGsa5cyKP5V66\nNMyt9AAgJcXChQvkxGG3kausTIKqCnj4YRXBoIBgUMDCheQNvWuXF7fdpo8MMBJhnzKFOtf5+Qba\n2ylcpbVVQnOzjGefHRjTDQOgGx5mCzjRCwjTL48H52LkwMFfF+L9zbPrgl2u5XZbKC6mBFZNI7vS\n9evpumCP376W0gi2qgkAH36o8MTaia6mOc0AB1eK60acBwcH8f777+OnP/0pXC4X/u7v/g6VlZX4\n9NNPMXv27Ou125sO17JQTGRpabyiweKWmUUZGdiLsKxIQXO7Lb4U7/eT5KKoSEdvrwiPx+Sx2XV1\nCUhOtjBnjorqai/S0kzMmaPjd79LQE4O6aZZ5HR5OfkXa5qI+noPOjpoqK2oSMfu3W5IkoXMTOoy\nMwLa2ysiO5vCQbq7SSICUKS33y9i/nwNKSlUKJ9+ehBvveWFZZHUgxHnujoXdB04c4Z8mvPyDDzy\niIrmZhnhMJH5qVPNkQhtknKw+O2333bxQURJIi/nri4JXV0Sl07oOuDzWRgYIMIpy0B7O/lQWxYR\n+NJS+hxUVUB5OflXmyZGNMxk91ddnYjdu2l/GRkmvvGNILZs8aGrS8LGjQGYpoCaGi+6uiSIosUj\ntJmrht0H9UouBvGWX50LiQMHDuKBXRfsdpZMrnHqlARJsrB+Pd2028n1tZJGsGtVtI7Zi74+cVx7\nzfEs9Ryts4PLwXUjzu3t7XC5XPB6vfj2t7+Nn/70p8jLy8OpU6dGEeebNcrxZov/DAYNiCKRNBZd\nOtHX/fzn5JIxY4aB737Xwo9/bEGSJPh8Lni99P4iUam3IBg08E//ZMDjETE8LACw4PEkjWiiLRQW\n6tizx4XaWpItNDfLuHiRwlIaGmRs2+bD1KkmPvpIRl+fD6tXG3C5RFy4IPAlvMFBIq+seyxJpHXu\n6aEBPeZv3N4u4fRpCYsXkyb6/HkRd96pobqaUgPLygRMnkzE/eBBiqyWZercWhZ1pU0zEqv91lsi\ncnMNzJtH2u3WVooLz8y0sHWrBw88EMbx49T1PXOG5Cr5+QbOnBHR2iohNVVBSQkNCO7aRVroZcvC\nmDfPwMGD5DJy6BCFobz/vgeiCDzyiIrdu10wDAHz52v8gpKU5MXf/q2Fn/0MOH9exPe+ZyEcJu9q\nUbTgdnuwebMLWVkGfvhDFTt2yPD7JSQnJyMlxTNyvkZ/P8eKtB3ve5WVZcDrTcTkydcmlvRq8GWK\neXXg4MsC+425/TGW1icI1ECoqfFGkevYeZsrhV1qyGroxo39uPfeIX4ssSQ4FJLi2nLGbpNtyyHP\nDi6F60acQ6EQEhMTMTQ0hNbWVgQCASQmJiIUJ8rHiW8djXjEh0Vkxz5+KQwPm9A0slZLSTHxxz8C\nFRWAzxd9+tk2L1zQ8POfSxAEGc8/b3IiFQwayMw0oOsYccIgfXJBgYHeXhGnT0tYuVLDsWMyd9Jo\nb5cwbZqBgweBzk4Bf/M3BnRdR2OjgL17FeTkECn1+SwIgoy9e10oLw/j3DngrbeoG82s4I4fJ8cK\n1uE1DAHZ2WSVV1/vRnOzjOXLw/jTn6jT/Hd/N4xz50T8+c8uWBbpij/9VEJOjsmDWGbNMlBbSyR3\n2jQDK1eq+MMfPCguJjlHUZGOpiYZ7e0SnnoqhA8+kPH733vgdlt46imSgggCkfKaGtrvBx/QsuGS\nJWEEgwIef9zABx8I0HW6aSgoMFBebqCmRsEvfiHjued05OREivULL5CuOjMz8pjfL2HyZAH/8A/A\n8LCO8WJlLzfS1uuV8NxzdM5/8QvhmsXgfhlhj28FgKVLl36OR+PAwY0H8+tnA4F2Is2sSdmcRuzq\n1fVY0WIrqfGOS9cF/Md/MFIc4HIOBw6uBteNOCckJGBoaAgZGRk4fPgwAGBoaAher3fUc2/W+NZr\nETXJYkkvJ/4z+g74s7hFJt62xlpu0jQR06YlIT+fwkEsC1i8OMDJUU/PZ7z4AMDrrydheJiGywKB\nAAKBiM1dd3cydB2YO1eHKJKjxalTEo+2BsJ4+mkN9fUeNDTIWLYsjP37FRgGeSH/53/SgN+pU16Y\npoCeHgr/CAZpuNDttlBUpEIU3ThzRoRhCCgoMNDXJ6KxkRFZBc3NMpYuDWPfPgU7driRlUW+y42N\nMr72NQ2JiRaammRMmhTpaAMkrWBSkdtv1zA8LCA3lwi+aVLXl8lFAJKMsNeHQkBhoY7GRgUZGSYO\nHJBRXKwhK8vEn/7kQl4edboBIDfXRH09fdZ33TUI03QjL4/s/T74QMGFC8ZIF9xCMDiEri4atAkG\nA7CsZJw/Ty4bmzYpMRGyEceMH/94GF6vhL6+vqhzr2nimJG2433nLCsFlmXhwoUBhELxHTtuFG7W\nmFd7fCsAfPLJJ5/j0ThwcOPB3JvYPIyqijBN8upva5NQVhaKItPxfJWvFLEdb7uvPEu5tc/pxCKe\n25CjdXZwubhuxHnatGlQVRVnz57F1KlTEQ6H0dHRwZOq/lpwo/4Qx9OpKgoFZKiqyFP+DEPgXe1N\nm1J4sVm1ajBquAwgIp2XZ0CSwMM53n3XBU0jGUR3t4j58yn5rro6Ee3tVEjz8w3Mnati717apySR\n+0ZdnQfd3SIPVnnnHRcKC3XMm6ejrCwEt9tESUkIhYUqDAPYvt2HcFhASYmG5GQLgkAOGYmJFmSZ\ntllQYIwEiNDnIQh0rG+/TdKN4mIdb73lxoYNA8jPlzF5sokdO9wwDDrOJ54IobNTwuCggHPnRJw7\nRwN5Fy9S1Pj58/TZnTkj4umnQ/iv/yKtdk4Oddvvvz+MWbPCPHJc14HKSrKQ27nTy48rLY001czu\nrrxcg2EIWLt2gA9Qsk4JK/LsHMY6ZgwPj/ZYjpcEOFFkZZnQNKCqyofVqweci4gDBw7GhNtNA+Ms\npXTZsjA+/VRCdXUid2lineeJ+ipPBNF1iUg5XVcS+HGxwWhFAX74Q6qF4w1UO7XOweXguhFnn8+H\nRYsWYfv27fjRj36EX//618jOzv6rGgy8UlzNHbDdJijeEAQjq5WVSRAEYN26MJglHUDFhRU5RgJT\nUkzU1lIYyYYNRKi2bEmGKAKiSJ7Ox47JOHqUOrKmScl6bIhu4UINpaXDME3yMG5sVPDII+QuceqU\nhNJSDfv3U3e2tzeRR2ofOUIDfYZBsd29vSKOHRNRXKzzIcFHHlHR2irh1CkJd9yh4fBhBXV1Ch8Y\nNE0BZ86IWLzYxMKFGhSFrOX6+iKdZNMEjh+X0dgoc39qgIJfOjslZGYSATcMcvb46COytFMUCxUV\nQeza5UVzszxCtkPYvDlphBSHIUlAfT1JXdasGeTDfaZJNx21tQpqaxVkZVGRZ4SVptIDqKoij2x2\nTthNTUXFEH7+c7ooPfNMtGzjSgdd/H5x3G6NAwcOHNivT3YnnttuU9HWRivKVVWUIMtu8ifiqzxR\nxNa3NWsGUVVFvtGxsdsAXccYnM6yg2uB62pH9+///u947rnncMcdd6CgoACbNm26nru7aXElRGai\nlnT252/c2A9VFfldfrxtrl49AF0X0NdHhe2112QUFkY6vUD0cpYsW5g82YIoWrAs0ujau6LMYeP0\naXJ8mDzZwrp1Azh0yIOaGiqifX0iD/BYs2YQpgkcOODhnsq33GJC00gqQj/TYJ4gkKxiyZIwRBHY\ns4fIuySR3VFysoXWVpJd3HEHDQsy3TORZvAhwDNnJPT1iRgeFvF//28CFMXC8uURW7uzZ6lLrutA\nRkbkcxVFC8GgMDL0YiEtjWK+n356EJ2dLhw65IEgAJ2d5ENdWkoXEib3oIsJHaO9gBcV6SgoMLBz\npxvhcPzBFeZsYr8ZsocO0NAmUFeXwENvAFyRQwb7/tj1gg4cOHAQD5GGDGmH6+oSsH27D2vXDgAA\nqqsT0dUlcc3ztSLLQHR9Y3WxsFCHomAUaR7ruB04uBpcV+KckZGBV1999Xru4qbHtZ7Yjd0egCh9\ncmVlUlRyYCwUxYSuS+joIOeK4mLywWQFR9Mi3pgM9fUKpk0zMXeujsrKJP4+FAUYHJTR0CAjN9fg\n3dfaWh9MkzyRn3pqEAcPetDWJsHtJkJmGEREWUQ3QAS3rCyMAwdc8PtF3HWXhcceI+9l6mobyMsj\n4nnnncP45S996OwUUVGh4sMPqaNrWYDLZSEjg8jt4sUa+vvJM9mygLY20jHLssX9npuaFHzrWyGE\nQgKWLqVUxNpa2l5JiY7Jk00kJFBCYU+PiL4+EYsXa9i504vOToqUXbdukN8YUNz1ACorfSOdc5VH\nk4dCdHPR3S2iu1uELAOLFmkoLFShKGbU9Dk7p7GyjQipFVFQQJppltQYuxRpH5KZKHmODSpw4MCB\ng7GgaSIkyeLpqtXViQAi6aeVlUnc1/9q7OfiRWkbhsCTA1njxyHGDm4EnMjtmwBXurTOvDMZKbUv\n54+n5zIMcniQJAsXLxLpuvfeyDaPHCH2VF4e6YSePk263cJCHaoaCcs4etSDefPI51mWLaSmUvy0\nJFmYPdvAwYMe9PSIXK6xZUsyLIu2k5trjJDHYRw75sZrr3lgWeRu8eGHCtLTiQAbBj2WlkZpfx9/\nTPpgwxDw4YcKCgt17NrlRm6ugTvvJLnG/Pk66uqUkYAUOt6FCzUcPOjhbhW9vSKWLAkjEKCbiH37\nXFAUC4sXaxgYEDB7tg6/X8Lu3W6sX0+hI6YpoKWF9s+63wkJRpSsgvTKZMvEusbZ2SZeeskHQaCO\ndleXhKlTSR9eU+PlEg1NE/H660lR5zTeMqeimPiHf6BzEAgEov4tnkbagQMHDq4l7ISWzWiw61Fl\nZRLvPl9L2GshAC4rs5Nme+PhUiu3zgqbgyuBQ5yvM+JFXrOfgcvvSMfz0WSYqI7M7TZx++0UIML0\nt0SER2tlt23zobBQx9mzItLSzJH0PQo/GRoSRtL9gPnzqUvd3CwjL8/EjBlU0I4cIWs2RSF5xpQp\nJrq6RCQnW8jM1FFQQMEmJ05QlLcgEPlOTrZw8aLA/YwB0lP39Ii45RaSX5w9K6KzU0RamsgJal+f\niDNnRO5uYZrUiZZlC3ffPYyaGi+6u0VYFnWY9+9XoOus22zBMICBAdrv6697YFnAQw+pOH6cPKMD\nAQF9fSLuukvDqVMmzp8XuWQlNZU+8+rqRCxapKGoaHikoBPBNk16D2lpJtLTTezeTdryxx5T454n\nyxq/a8xcUWJdM+wa6Ut9F64ETliAAwcOGDSN5GLl5UEerqWqAqqrE6/JUOB4Mz9MnhZ7PWWzGmMN\nOcc2KBz/ZgeXA4c43wBcKUm+1PYAcM3y5d41l5WFkJTkxT33kP2YXUPL0urq6z1QVQEtLTJKSzV8\n9pkATQMaGogML19Ow2/hsIDz50V0dJDTRkeHiLlzyWLO7SbSO3myiY8+UiCKFr75zWG89hqFd2Rn\n01DdI4+ocLksHDzowkcfKcjNNVBUpOPCBXpPBQUG5sxRsW2bj3dwBYG0wi0tMv7mb4bR3y8iIcFC\nZqbJfZybmugrzgJRRBF46CEi693d1Glm3p5LlpCmoraWUgQXL9Zw4oSElhZy4WCyERbK0thI70dV\nRezYQXrulSuDqKykrksgIKC0dDhK+jJpkskdP44epa75Bx8oyM9XuUyiomKIT4izJdDLBbOMAq7s\nuzaetaETFuDAwV8v7Hrj0lINkyaZ+OADhUdrs9U3FlASO59xJTVjLPJbVUUSubEIMmsIOXXKwbWE\nQ5w/Z1yth+Tl6lLtd9oej4X/9b+INKoqaZJZkcvKIsnFwoUaysuD0DQRb77phSiC65ILCsJ4+ukw\n3nzTi/b2SIy2IAC7d5MN3FNPUXx3U5MHgkD7Coepo2t3tWhtlXDxoojp0w0eb33nnRq6u6mjS51j\n90j8tYCZMw2cOkUDf9/85jBefZWI5rp1A+jqon39+c8uzJploLGRBv8uXJBxyy3kkFFYSH7QOTkG\nZs4kf+vFizXcequKAweoC33ypARRpONLSbHQ2CghN9fAypVBKIqJ0lKSWbS1uUZIOGmps7JIUnL2\nrIjNm5MgihamTTOxciUR4oYGGcePA2vXDuLNN0krrWlilH0TS8a61MUmGKQo82t5YXDIsQMHDuLB\nXhvWrBnE3r0KLIuuHcyqNCGBOr12FBbqUQSawS4pvFxZha4LfPBaVSM1MCvLRGqqibKy0JjNA/ug\nvCPVcHC5cIjzDcRYJPlG/9GmppJzRW8vdQRk2UJ+voH8fAPnz9NjbKCttJTS8TZvTkJODpFGsqGz\nuNn8smXUee7uFjFzpoFAQEB2NkkyduzwYupUE2fPiigqooS8zz4T8Z3vDEPXgb/8RUZamomUFAuS\nZKKujiK8Z80yUFXlwdKlYbS2Uurh/v2UqDdrFlnqMXkHSzEEqBu8du0Ajh93Y98+FySJbN8A4JNP\nZPT2ipz45+VRvLcsUyc6K8vA1q1JKC7WcOECdaPT0ijBb2hIwPTpBtrbJWzd6kN2NhHbwkKK7bYs\nAYpiYdcuipq9//4wmpsj3e5VqwaRkGCgvDyIlhYq5j6fgdWrB6FpRLABSt5qaZGxatXgqIIeG3Jy\n4YKGX/xChmmmxL0wXA/rJScswIGDvy6MtfokihZPTVUUYMWKIHRdgKJEr7KuXTuA6upEbk1XW+tF\nT4+Iri6SSbAmwVgSxLFkFbJswe22oGkkj2NknUnmTJNWSMktSRjVYHKGoR1cKRzifIPxeZEN+/Ia\nW/7fuFEDIENRTFRUDKG6OhFZWWaUVGDbNrIYYvZqBw960NIiR3UNAgEBDz8cxMGDHtTWKpBlcDeN\njz5S4PeLWLlSRXu7hPz8MHbs8MLjsbgdXUcHuU1897vDSE62EAgIOH1aQkmJhowMA4IAeL0Wzp51\nobubusAXLwrw+0WUlOg4eNDFpRutrS643VTQGQFeujQMXQcOHnShp0fE448P4/XXyUbu298mAg+4\n8N//TZ9LU5OCZ54ZwCuv+NDdLSIlhYYFv/a1MLq7Pfx9Z2WZuOuuYWzf7uPSkt27yTLv449lpKdT\n8MpXvzrMrejsVn4RN5TId6KsLIR7740MuoRC1FGRZWuUDZMgANnZBrq64sdvX40UaDxy7BBmBw7+\nOhAvWMteG37wgwAMgzoRLAjlhz/sR0KCwV/LiDHzn2fOG1cLcjCKloXYh9sBqtEZGea4w/IOHFwu\nHOL8BUZsB5L9HO/fYu18srIozhkA1q6VUVeXAE0D98IsLw+iqsqHrCwTkmTh/HkKDMnIMJGVZfKg\nFFUV8fLLPjQ0+HgKXlaWgVde8SEz00RJiYamJhmffSaipUVGS4sPc+boSEigQlZQQIRyxgwDe/e6\nogYNP/pIwdGjMjIzaQjv2WcHUFeXgKQkC21tEpYs0XDqFFnMdXVJkCQLoihD14G77tLQ2qrANMlj\nua5OgShSVPgnn8hc87xnD5HxBQs0HD0qY9Wq4RHZiMw707fdpuKTT9z47W8TkJtroLhYx/TpYdTU\neLFlSxJuv53a8++840J5uYZAQEBZWQiVlUn4+GNg7tzR+egsIICFnrB0K0awNU1EKCTxTvTGjaOH\nbARBwHe+YyEcvvZyCoccO3DggGGsYC1Wr9gNfjzESs6YRAK4tFSDXcfGklUwWYg9iIVB14Fz50Q8\n/viQU88cXFM4xPkLilgybC9qAEZ5PTOwjkEoJOGFF0h+8fLLJLmYP1/DkiXD3CeY3cUzCAKFjvT1\ngdudWRaQmUn2arfequLkSQlz59LAXnu7hDNnRDzwQBhnzpCsoa+PnC+ammjAcN48HX6/yKUeliVg\n6lQT586JPFo7Lc3kEhJ6PT02fbqB/n4Bvb0iHnpIhSAAZ86IaGiQUV3tRm4udTpmzoxOwuvtFTFl\niompU000NJAryF13DePcOS/eeMON+fN11Ne7kJFhYvHiMH75Sx8Mg7ymaXsC1ybPn6/BsoALFyio\npL6eEhBZEEpWlglVjb6J0XVy4GCdEVUV4fPp/Lyyz5aFwFgWWQfaOz0bN/YjOTkZXq+Cvj7nouDA\ngYNrD3swErvGxA7chUISDEPAxo0BSJLFybSqiigt1dDWJkURXnZ9ifwcH7GzFvYAqVjYr38skKWv\njxJo7dkDDhxcCzjE+SZEPE3Z1XhOxlt613WKj2aklEVab9vmi0u2168PoLbWi7/8hXTFbHlOEICv\nfMVAZqYJn8/Aww8HsXOnF6mpJs6cEaFpApqbiZyePy/imWcGUV9PNm8sNtswBG7VBtBxUEy2BkFg\n4SjDvCt+/ryI227T8X/+TwIEAVi1ahinT0s4e5ZIMhs8NAzSNx84QF7PkyZZyMkxcPy4jIYGBefO\niXjwwTCGhgT09Cjo6JCQk2PgzjuH8b//tw/33ReG3y9xa6MFC6iz/MYbbpgm+UIfPSojI8PEypVB\nuN3UlQmHBezY4cWTTw5i+3YfNm9OQkmJjvLyIC/wTz01yKO7SYsXIcyFhTqysky0tUlYtiyMoqLh\nURcNRTG5HZ1jD+fAgYPrBaYFjiXQ7Pf//M9kGIaAGTMiQ4GhkIRNm6ixcs89Ya4xttc5to2J1K2x\n3DHY9uzPc7tN3HvvkONl7+C6wSHONxniacoAxB2OsEckxxLjWO9oe7ogQEtc3/ueBUDAAw9QB5ql\n3zHY928YpB2zLOD22zW43SaXfbAIaFUVsX27D7ouQBSBp58exO7dXrS3UzfWMID6eg8aG4kwPvBA\nGMeOyVi6NIzJk02YJoWezJhhYN48ItNvv+2CabowfboBwyBy/eSTgyMyCvJWbm0la7iHHlLxxz+6\nkJlJPskpKaR1njyZbg76+oB9+xQIArBsWRi33qpiyxaSQjzyiIoFCzQ0NsrYts2Hb35zOMrH+d13\nXWhr82D+fG3EWcTC7NmUJtjZKeGVV3z4wQ/6sWbNIKqqvOjsFFFf74Fh0GfX0yNC00SedCXLFhYs\noNfX1Hh5d7+0VENtrQIWZRubhhVLkoNBw3HAcODAwXWHvVM8Fmh2g1yCRJECowIBIrD2lVGme77U\n/uKR9Xj2ruxaZLenY/MkkWN34ODawCHONxFi757Z0MN4CUzj2e2wbb77biJ6ekQoCnkES5IFWbaQ\nkaEgGDQQDArYts3Ho7oBjJKBZGWZcLkoIARAVDFjAxq33aaPeCVbSEszkZBgYsWKIAyDwk/S0iLd\nbkEAurooVOXECQlpaRRC8tvfenDuXCTEJCfHREcHuWrMmmXg008lVFd7MXu2gXXrBhAIyHj1Veo8\np6SYEEXS1KWn074yMw3s3++BaQooKSF7OwC4cEHAxx+7uT65oCCMpCQZjY0yTFOA2x3pqufkkAuJ\nIJBUpKyMyPMbb3jw1FOD2LnTy99XQoIBRSFbvqNHZZSU6DwSW1HMqKQr1oFmNk4ADVqapgDAikua\nx5LgjIfxtPAOHDhwMFHErl4qCviAoCRZ2LIlGZpGxDgnx8S8eTreeYeCnmj+hQhzPNegsfY3Flm3\nXytZ88ZuT+fAwfWCQ5xvEsS7e7YnMFVUDAGIjhbVdWHUnbvdPYM9h+l4i4p0bNqUzH2FV69W8cIL\nCjIzfSgt1VBfr4yaPmbk0e8X8fTTg9i1y4uWFhnl5dHHnpJiYtcuN8rLw/B6Lbz9tgspKQnYs4eK\nJrNZe/LJQVgWEdD+fpJc9PSIaGxU8PHHMnJzKbzEsmi4o6IiCMsC3nrLi0CACHdamolTpyTs2ZME\nl8tCeXkYgYCAQ4dcKC7W4fNR6qAkAWlpLBqb3lduromHHw7y7vq6dYNQFJMX/MceUzF1qob//m83\npk0j2cdHH8koKiL5xLRpYcgynYc77ggiFJLQ2UnWdVVVPqxaNchvPpYuFfhNChDxDmU/s+VPdp5Y\nUmN+vsG3cSmPZq9XwsaNn/FtXup7dTWhKA4cOHAQWzfiDQhaFtDZKWLKFDHqeqZpQEmJflmSw3hS\nQxbwxFygAHB7OoDs6VJTTZuDlFPvHFw7OMT5JgQrKqyTC4AHY1ARGp3IFOueYQ/QUBQWOx3ZR36+\ngffeE5CWRlra9nYRGzZE0pfWriUHi+rqRDz55CDeeoscJJYtC6OiYijKVo0VxOXLVezeTfKJ5ctV\nDA8LyM42kJ5Otm2lpcCLL9L7KSrSMXmyhWPH6KCYH+jkyRQeUlys48wZEX6/AlWlYJGGBpkT51tu\nMZGTQ8OAJ09K6O4W8eyzg/B4TD60eP/9Ybz0kge5uSYeeiiIt97ywjCAnh6FdytaW13Izw9DVQUU\nF2vYudMNVSVJRloaDSk2Nsr8puHtt10QRXL+KC8PoqbGOxLOQgN/7JysXTvAz5m9aMcWb3beqqoo\nbZCRZlm28Prr9HpGoseKVGfbuNZBKA4cOHAwEYRCEndheuihID7+2A2XK5IDwJoHpimgr+/yu8Gx\ndY2kgeTTbK+zGzf2Q1VF1NUloKdH5N7Rdjirbg6uFg5xvkkQ767abrXDCBmTb9h9lIHRnWYGO9kC\ngPJygSfUqaqAe+4hxwvWWWbbqaxMQno6ke+tW30oLNSRl0cSBzalHL0fYHg4snQ2axbFWu/f70N3\nt4TeXhErVwYBEMmk8BXa/pQpJpYsoefv2+eCKFro6zPR3S3CMMgF49FHaeiQwleAxkYZokjkeGhI\nQHq6iV27vHj00SDuu48eY7KMjg4JO3dSEEtTk4wPP1SQl2fgjjs0nD4tobnZi299K4TORW3qAAAg\nAElEQVQDB1wIhwWIIhVaZkcnCMC5cwpmzDBsshEdmiby+O9ZswzMm6eir49kG0ePepCebtoCZSIy\nnPG6LX6/yJcd29sprKW21osjR5QofXvsuR9L5xz7vXI0fw4cOLiWCIUkvjpaXKxh61YfLAtYvjzM\ng7Mef3woaibnauuPLFtYuFBDcrLFayxAhNqevsoaEfF00U4X2sGVwiHONxHGCpuIN9HMnC4MQ4ix\n4um/xDYjRcbjsVBaKmL+/AAn0/alL0UhksqG/Xp6RHR0SFi4UIOqivz5LOK0rU1CcbEGWSbSz3Rm\nLFrb7TbxP//nADRNwOnTLgwMCMjIoEG+uXNVbN3qQ3GxhjlzdLz2GnWKWSofQPs3DODWW3UUFZF2\nOCXFhN8vo7mZ5BSVlT6EwwKP0i4q0nHhAh13WprJ47DvuSeMV1/1cHeR/n7yqV6wQENmpolgUMCB\nAwoMg8j5kSMK0tJMLFyoobdXRF2dC11dCdiwYQA1NV7s3Uvvx++nQch9+8hqbt26QX7e2I0IO5/2\nLvSqVYMwDIFLcXRdgmlGSDxAF4J4CViX871yLhQOHDi4VmCrZaoqwOWykJNjoqUl8u/FxRqamhTs\n2JGIb3xjcFxLucsFk2GwIXZdF1Bb6+Vd5onqqB04uFw4xPkmw3jLSLHd49jBsrFeZ9+2Xe86eXIS\nvF4FlkUpT8wCrbIyiXe0VZVis8+do+PKzzfQ0iKjuTkJd99Ng3UdHRJaWuQoeUJpKbl0ME2x223y\nNKnqanIIURQLX/uahtZWCZ984kZZmYYDBxRcvEi2dWfPKjhzxg3DsHDsGElABIG6sk1NChTFQk+P\nxENULIvkHoJA/yUmWujvFzBzJpHo/n4BXV0iRBE4fVriz5UkICHBwpkzIs6fF7F0Kb33tjYJug4c\nOybDNEkqIorAmjWDePnlJP55r1o1iIaGBP45s5sIgFxE4i1N2u2VmF4PiGieWQw6AJSXB1FWRjc2\nW7Yk37B4bQcOHDgYC2wVze8XsXChhr4+EcGggAcfDCMYFPDOO64R2Z2GxkYFL76YjB/84Mq6vJe6\nLuq6wOVuCxdqKC8PxiXpTq10cC3gEOebCGMtI8VzU2DL/n5/JFjkciDLFvcBBiIEkBE4TYvYpLHt\nz5un831OmUIDepZFnem1awcgSRZKSzVMnWrg6FE3d9FITIyk4dknoU0T6O+nbrbXa8HvF5GZScOB\nlZU0+Pf004Oorvbi1CkJX/96GAMDFMfNXn/xooBAgIi7YZAzRyAg4Px5Ec3N5LFcVDQMSbJgGAKa\nmpI4cZ4/X8dXvqKjrs6FCxdEFBfrOHZMjhqItCygsFDH+fMi94eWZWDDhgGIIpn9h0IS9uwhiUlJ\nCX1GjPQyRw22OkCOGdH69HjfAwBRg4RjSXHs58+BAwcObgTs1yTm+lRXR8PglgWUl5P0jtyOLL5y\ndiUrZvGui3YCDJCEUdfJ8x/AqCF3O+Kl6zpwcDlwiPMXDLE2cAAmbPJu98WMhaaRtnbNmkG0trrw\n0ks+GAZJHsrKKDL66FEPAgEBa9cO4MQJN3btoi7wsmVh3oH92tc07N/vQnq6iZ4eSgRkx1xaqmHS\nJBN5eQYmTTLxla/o+N3vKMZ6aEhAQ4OCVauGcfiwwuUdbBiwqUlBdzeR99RUE5MmmbhwgYitz2dx\nG7zbblOxfTsl/a1cqWL6dAFVVYkAgIcfDiIzk4rkpEnk8zxpko4pU2Ts2eOCIADPPjuATZuSkZNj\nwLKAcJhIeGoqWesdOuTBG29QwEt/v4iKiiFOhhl6ekRkZJDdHOuGGAa5o7S303tgy4m1tV709YlR\nntnxbp7+GjslwaDhDDw6cHATIfYGPivL5KuMa9YM8jTUoSEhSkJRXKyipsYbd8XsSsG2MTgo49Qp\nCq+66y4Nu3a5ce+98Y/b0To7uBZwiPNNhPHIkZ1YMXmG3X0j3mvGApN4/O3fapg8WeFFpLBQx5Ej\nCieNgmChuJg6qHV1CTzprqwMOH5chihakGXgq19VUVtLZPfECQl+v4iiIh3HjkUG7AoLdXz6qYTO\nTurMLlmi4eBBF+bP13DunIjaWgXFxbTcJ8tkX3f33cOorCQXjtxcA52dEiSJurhtbRKP7H777Ujo\nybFjbkydSj+/8YYbigLcdhtFgLe0uNHZKUEULcycaaC2VsH+/QqeemoQDQ10/IcOeZCTY6CrS8Kz\nzw7gzTe9aG+XkJpqQhDAQ2BSU02UlGj4wx8SYVnAunUDkCRg61Yi7ayrwpYQ29tFmCbpqXt7ReTn\nG1ixIojNm5Oizv94neWJnN8vSxclGDTwk5+IMM0U58LmwMFNgFiyyRwsqqsTuSXqww+rCAYFlJSE\n+PUqIcGALFuXDDwZD/brX7yb6ZISkoPs3Cni2Wejcw8ckuzgWsMhzjcZLuWYAGCUb3OsPjbeduxg\nWuaf/9zCj36kjepA+/0iD+44flzG8eMydJ1eJ0lkKeT3i5g2jTq/27f7UFamob9fQFOTApfLQk8P\ndVbLyiguuqwshD/8gTq/gkDSDF3HiMSCQkaysmgYcPHiMA4dcuHYMTc31p8xw0BqqolFi4ahKCZq\na8m9Ytq0MADqFs+Zo+OTT2R0dEhcu6yqAs6dow5wICBg/nwN2dkmjh+XeXT44cMelJeHcfGigJYW\nGc88M4iWFjcOH/ZwfbTPZ2HXLi9cLjpuWSa5B9tXS4sbQ0MCwmH6LFesiMRrFxbqPPXxsceCEEUK\nNwHArZLsXs9X2ll2LhAOHDi4UbA7WKxZM4gtW3wQBGDJEpp92bQphYdqTSTFT9NEBINGlIQwVhLC\nSDqrb5pGQ+qZmRTQJQgY9RwAcWeB/tpW8BxcOzjE+UuEsaJJ7YjVMv/mNwK6upJ5UVq4UENp6TDX\npDHnDEkCurtpsK6mxousLBPLlwfx8stJEAQL7e00bLd8uYpp08LYujVpRD4B3HuvAZ9Px+rVg7wj\numWLDw88EEZXF8k9CgoMHDsmo6dHRFWVB4sWaSOE2uByDUDkx5WRYeJPf3LhyJEkPPSQiuPHZbz+\nugfz5ukoKSGbohkzDJw8GemAnzsnYuZMAx4Pkd/Fi2kw8ehRGfffT8SZSTn27HEhJ8eA30+d4oUL\nNWgasGiRxjXTVVU+SJIFUaTY79mzDWRnjx5IKS8P8sCY2PMzli+zHeN1kYNB0liPp+n7IsLrlfD8\n8wYCgYBzYXPg4CZAPF0xk5yRlz01Ivr7BZ4S2NYm4cUXk/HsswPw+fRRfvP2FbZNm1IgigKefz6+\n80Z1dSL3umdgfs4dHSKfL2FuG2z7qiryZpNdY+3UFQdXCoc4f46YyLJ6PHI11u8TBbv7d7l8+MUv\nZAAWJCmylFZT4+Ud0rVrB+B2mwiFJLz0kg+mSTIFkku4UFJCUosZMwyYJtDcLKOlRYYkUTHt6xN5\nsUpIMPik84YNpJPOy6PXnTgh8YAW0yQialnAvHk6/H4Rvb0kz+jooESos2dFTJ1qYsoUSocyTSAz\n00Rvr4g779TQ3i6hp4fez5IlGgIBAZ2d1B2+7TYVfr8bfj+Fpuza5cW775Lco71dGukIEyFmWuu7\n7x7Gyy/70NUloaQkFOWxbRgC6uoS4PVaSE+nYxgr7epyXFDYa+xOKPZJ8WDQwK9+ZaG1NYV7PH+Z\nuiher4RQ6Iv/Phw4+LLAXsv8fjEq5bS4WIdlAR99pODYMRlr1gxi61Yi17//fSJWrQrygXNWp2LT\ncuPtz27Fymzm7PWtuFjDLbdYeP99BYIAPsxuD+digWBVVT6sXj3wpaiPDj4/OMT5c8LlLKvHS5sb\n63c7cYpHzO2PeTwinntORzhMhY85P1RXk6RC18Hjvrdt8yEvjwbktm3zjQzOyfD7RSxdqqGtjdL7\nmIfyokWUvNfQoGDLlmS+bUkiJwqfT8dXv2phaCgBJ06Qdnnx4jB0Hfj0Uxlnz4ro6qI466IifcRT\nmTq/lgXMmGGgro68lTs6aGmvvDyM/fsVtLZKKCsbRmKiG7pu4cUXXTAM8mhuaFCwbZsPOTk0vOh2\nU0EVBOp6p6ebcLsjxZo5bADAtGmjP0dmsdfXJ+LIEZKpPPPM1fmVxjtvqiqMKvrDwyZSUy20tka7\nozhw4MDB9URs9xkA7rknCFUlNyNVFVBfTyuHn35K9WnrVvLYt3eMGZjVanJy8sgNc/S+mPc9+90O\n1jhZsEBHWVmIy0dY7TZNygvIyDBHdaPjbc+Bg0vBIc6fE9gSE/tZUa7tH3I8Yh6rF/vtby34/TKe\nfVbgA4N+v4j0dEry6+8X0N9P8aWqKoyEd9CxCQJ4il9hoYqSEpN3BB59NIj6eg9aWxWe6sTS7yTJ\nwrp11DGQZQt33hnE3LkS3nzTi1dfTUBxsYajR2WUl2vcnWLSJAu5uSbS0kzceecwenoUHDlCRLq3\nV4QkRWQKy5eHsXu3C83NPixdquHUKZmnAWZkmFzqkZZG8hMgcsNQVxfxYmbFWtNEvP56El8i9PvF\nqM+KdYFXrRrEiy8mIxwWUFPjjdvV0HWB+zuPZcsU77yx6PVYbfvmzTIsy8LGjQEenOLAgQMHNwKx\n15SNG/shywamTaNALACor1e4XV1lZdKojnEsGbbrm+PtD4jYmsqyNfIfNRb6+qgRwuqlPY+ASdnu\nvTf+cTu108HlwCHOnxPsARfAlQ922cl27LI+AwvbsIPpxQoKDK5HY+jqopQ9WQYqKoZQWZnEl+SY\nzENVRRw96gEAbNvmw/r1gSh7PE0Dyss1HrO9Y4eXyx727fOgqSkSIS2KJM8oLqahkiVLNNTXK5g7\nV+e656IiHT09Il5+OQmKYmHqVIpTXbBAw9SpGt5/34PaWhfWrx+ALLug60BfnwBNo07z9OkGqqrI\nMWPePB27d7shSWQHx7oQ6ekmuroklJdHk9rUVBPt7aMnwu1dYID0zxcu0M1GPMiyNWoYcCI3S0wW\nEu95giA4pNmBAwefC+yD5apKxNU+Q2OXl01knuNS0DQR776biIYGmXeh168PcFtPAFEOHk5yoIPr\nAYc4f05gQ3pVVT4uZbhcxJJtVRUxPEyFzDCEUTHdseTW47Hw+OMGNm1K4v8uyxZUVRwZ+gPuvXe0\nVlfXSc7R0SHyyGy2D9ZdUBTg1CkJ772XhNxcA7NnG5g6lbyTT5yQeOc3FJLQ1aVg1qzIIN+3vz0M\ngLrVhkFdbRY+Qu+NSO6MGQb6+kQcPuzFmTMili9XsWuXF/Pm6bjzzmHs3OlFd7eIM2dELFo0jPx8\nspJraZFRXKyhoMBAezt1OCyLutCdnRL3tGbvtaVFxrRpFEUuSVZUUhUAHj/OIrUFIXKzwjojsab9\nikK6cVbwWYd6ogODimLi+efNkc9w9IXBWYZ04MDB9UQoJPHVt/x8A5s2JfO5GIbLaRAANLcxHnRd\nQE+PCMMQoCiRJkRLi4ysLJPX20vZ1zmuGg6uBg5x/hwRe2d8tX/IkmTx5CRJYnfake4nW+5nQ2TJ\nyckA5Khus6qSiwSzVWOFiIHZ36mqgOnTDcydqyMYpJAQVSVCvXbtAExTwNatPuTkGEhLM1FYSAb4\ngkBEm0JMLLz0kg/Z2Sa6umi/06YZqK11Yd48HRkZJjIzRZSVheB2mxgaktDW5kJTk4zeXrLKC4cF\nFBeTnnpoiKQQp0+LSEx0Y+XKMLZs8UQlAQJknVRT48Xhw+QSct99YfT0iGhslPHII3ScDKmpJpdl\n2G2OZNni3XimCVcUcIs7w4hEwLrdFu+82Jcbq6p8OHWK/KivZNqbLWva9YBsGfNS7ioOHDhwcKVg\n9UtVBXR3i0hJMWFZNBdTV5cQlWY7kdVUVrf+4z/oNRs2xA8+oiYEcPvtFKvNVlrXrh1AZWXSKBkd\na27Ek845ddHBlcIhzp8jrvaud/TrqQMMUIFhxehSCYOMUDY0JOC998gTedkyiq42DCGuT7TbbSEt\nzcSuXW7k5xt46qlB7NjhhaaBpwouXKihuZlI7tKlRL77+kTccouJxkYFomhh/nyyEOruFiEIFo/p\nPnJEiSKcmiZi+3Yf7rsvjIICg78mO9tAc7MMWQaeemoQ9fUKdF1Aa6uE228nn+p336VBFaYpBygS\n+733XCOdb/J+zs83MH16GDt3kkXeI4+o2LXLzbsobOjETkwLC+n4KyqG4HabfOky+mYDY05zCwK4\nm0i8dCv775cCu0DFOnc4cODAwbUGc9WoqBhCdXUi7rknjBMnJDQ00IxKS8vEAk/sdcuyLAiCMObz\ndJ1mbfx+EeXlkRmU/HyDE3dNizxf00h6eCVR3w4cjAWHOH/OuNq73ngTxgBQViZyHbPdqoyGEkla\nkJNj4vHHDQCjKwqLrm5pSeJ38Gx/sRKQ1FQTx4+7kZZmorlZxpkzLmRnGzh3LlI42eDdqlXk5Xz8\nuIyMDAo8MU3gscdUfPghDf3dc094lBYYIEuhpiYiyY8+GuRklw0gnj7twqOPqmhtldDUpGDfPhMP\nPiigpUXiy4mpqSa2bfMhK8vk+5gyhQYFKyqGcPSohw8b5ueH4Xa7AFAHP5aQWlYkxZDJLexuGqtX\nD4xK1rKft9WrBxAKSaiv90QN/8VaNV1u15h1Wxx9nwMHDq4HYps2q1YNorbWC0GIBGytXx/xYJ9I\ng8jvF/FP/2TA4xFHyc/sXWu2/aoqH1asCELXgffecyE/38CMGQYCAQGrVpH7k6qSi8eXzefewecL\nhzjfZLgabaqd1FZV+fidtx1scK+sjMI/XnhB4SRL1wUUFqoQRQvV1Ync3J5pe+0Wd2xIMBSSUFPj\nxZEjEh5+WMXHH1MXdf58HY2NMm69VUdhoY5XXyXibBjkOjFliomZMw1uJRcKCZgxw0B+vsGLLit2\nLOBjxYogqqq80HV6r4zopqebIzZyFqqr3bAsYP58jWuiWdEOhSikpaXFN+LhPIC6ugQ0NsrIzTVh\nmgL27HEhN9dARUUQ27cTwV6xIsjft99PBv5z5lCn+eOPx/4TYudw1arBuCRW1wVe3Bcu1K4qkpbt\n73JWMOzT6Q7BduDAweWAXQ/YTEhfn4jubhGWRdaddrI63iqavW5NnjwJQLT8LBasww1Q5oBl0TWH\n1U/6v4dfv5iLhzP34eBawSHOnwNinTDsOuLYmNIr2SZAS1lZWWaUVRl7TlaWiQMHaFBu4UKd79s+\nRMiW4VasCPKOqV2uwAi6/a7++HEZ8+bpKC0dhmmSlKKxUeGWceSeQctwXV0Szp8XsX79AA4e9KC5\nWYYoAh0dUpS93AcfeLFvnwJZJi1yVxcRbcOguFdNo5CUpiYFkyZZXM88Y4aBDz5QUF9vYP58kpy8\n8AId+/e/P4DERPpsk5MtFBbqaGxUsHWrD/n5Bk9IBOg9vPGGFx0dEmbMMPhnMDwsIDfXwDPPkAc2\nG3a0nwt2PtnnFXu+qqp8SE8n27vy8iDuvdfiUg9mQ2f/nkTO79iYSKCK/djYuXNCARw4cHA5iNUu\nV1QMYdOmZEgSNTnYc+yk+fXXqQbH1puJ1DV7U4CFTzFN84YNA2htdWHXLjd/DZORMNmiYz/n4FrB\nIc43GLGWcWzQjtm9sWWoLVuSJ/wHPjgoRw2ujefMsH59AJomcsLb2xu/y8lcOurqEqBpJGfo6HBx\n1w7WaWZ39Q89FMShQx709IjYvDkJkmShuFjnk8+LFmno76duc0XFEEyTdMfbt/uwdu0Ajh714OJF\nAaYZ6epqGvCXv5A+TZIsdHWRDlpRIgRcloHS0mFcvCjis88EZGdTiInXayE11cR777lw4ICCJ58c\nRG4u6eDa2lyYOzcEVRWxfz/dQOTlGTh7VsT06QbCYaCqyovSUg1er4W333bxz4WReo/HwsqVlISV\nkkJpgefPizy6nMklLgXyxqafYx1Q4v083nfiUuR6LLtCBw4cOLhc6LrAVzV1nWwxFy4k//2aGi9S\nUylwhNWsWB97Nrg+3jVurFWx2FAUXRfQ1CQjO9vg9TQ11eSNHqfeObiWcIjzDYbd95L5J7NiIstW\nlAfmRBAKSdi8OQmGQVIHhrEml+22cTU1ifD7Jf58RmCrqnxYtWowqrM6Y4aB1laJu3aIIjmCLFyo\n4a67hrFlC9nOyTJpf02Tls/WrBnEK6/4RizhaGDk5ZeTkJ1t8lARAAgEBBw9Sl/HlStVHs2anm4i\nN9fAypVB7NrlxYIFNK29eXMSli9XceyYjJdfTsKSJWGcOiUhPZ101s3NMsrKNEiSBcsCDh3ywO+n\nTnJPj4iCAgkHDnigaVSUH3kkiLff9mLvXtJnM+ze7UJenolHHw1yVwy7HCYlhem0Bdx+u4bKyqQo\nXZ2902zv9jJdIDsfTONs15NfDi63o8KOzZFqOHDg4Ephn/tQFBNlZSE+W9PeLqKkRIeuC9B1CYYh\n8LkS4NIzHPbwKTanY39eKMS2SY+dPy9yad3mzXRNMAxAkuha68x9OLhWcIjzDQQjrllZJrcyAxAl\np2B30VRs6K78Un/opilwDfBEi4LbbeI737EA6LAskgJUVydyezQmeRAEslkbGqJkpuJiHQUFYfh8\nOu+E9vV5IUnWiJxjEIcOedDXJ/Iiqut0jO3tEjIyIsSQdarr6hLQ1ydCksifeccON0yTyOfDD9OS\n3/btZCu0YgV1efPyDPT0iOjokCAIFk6elDBliom5c3U0N8uwLKC1VUJ2Nmmp29ok/jkBwP79HlgW\nxXT/f/bePLzK+s77f93LOUlONiAsIQsQAk4VwiY6diAsirYoUiy1Om318rketTY2Io6PM9dM1et5\n7Djt2JYqi9tv5mlraxebGhmk9HGKQEDUIkuCUCUhLNlYApKEc3LOvf3++HLfOTmck40EAn5f1+Xl\nyVm+53vfCd/7c3++n8/7feaMwssvp5Gfb6NpDjfcYDBmTASAjRv9HDqkeRrL0LkcJivLPidD51Bc\nHKKq6nx3rOiu8egGQLdOPDrTvHSpKP2IlSfsD83ReOPITnOJRJKIrnaxdN3xGrPd965Zk86sWcY5\nlSTx/M6dKWzcKHbtli0TJRqWpVBUZHaywO4NoZDGb36TxtGjIqjOzbUpKhJlgj6fzY03Rti40c+0\naQaahqcxHVsyJ5H0BRk4XwIaGjrbRMdzfnNLOGbOFHqV8eqd3aaM5ctbKC9P5aWX0rrMNkYHTgDP\nPSd+/cuWie2wrCyRBR47VgSQrhW1pjmsXJnByJE269f78fn8npaxezx33CHULF55JY0pU0TjnBtM\nz5hhcuyYytGjIussLL3bqapKYtWqdBxH6HLedluQQ4f81Ncn4fc7LFoU5M03AwwfLjRCIxFR3lFf\nL4xRLAvy8y3PVdCtrc7LEwoaW7f6zs1DbNtlZdnMmiW+99NPNVQV9u4Vxz5mjMiqDxlis3Onj4kT\n2zFNcf5BZCxihfTdDMaCBeef39jfQU6O+P546hrRW44QPxPT2xrArt4nubL57//+b1599VX27dvH\nokWL+Ld/+zcADMPg6aefZsOGDWRmZvLEE0+wcOFC73O/+MUvePnllzEMg7vvvpvHHnvsUh2CZBDQ\nk10stzRt5coMSkpaKSoy2bhRKFzcdluQVavETqSqOl55Hgi5UTFuS5fXK7eWOTpTbBiql9hxKSiw\n2LjRz7FjKqNG2Xzxi+18+qnYTT116sKariWSWGTgfBGJDW66C3Ty8ix27tSpqupc7+xuUUXXb/V0\nez968XGcDnc8N+O5bFkrL72Udp6QvBv4uRJz7mK2fPkZzp7VWL06DceBGTNM77vc191a6VGjbLZv\nFwvmggViHm5T3dVXm6xcKdwKH364lfXrA7z8smie27NHp6SkjfXrhcueCJoVRoywGTbMobAwQmEh\nnnHJiBE2Bw9qjB5tM3q0zezZIdasSaeoyGTt2gC1tRp5eRbDhtk0NamoqsPIkWI+e/bo5OXZXg03\niKA7NmOR6IKS6Hfpao/Gc7SKbRaVSC6EjIwM7r//ft577z3a29u953/2s59RXV3Nli1b2LdvH9/+\n9reZPn062dnZ7Nmzh9WrV/P666+TlpbGN77xDa6++upOgbVE4hIrD5eT01FP7CojVVUloWkOx46p\nlJa2oaqOtw67RCeQ4uEmFuJ97803RygujnDggM7WrT5mzDD46CMfw4fbbN+eTGOjyvHjKo880pEA\nkokDSX8gA+eLTE87id1sr7sYuYRCGj/6USZ5eR0Z6Hiugz1RYcjNPf+1js93CMlD58Av2hSltLSF\ndetEgOk4CorCedtvrnTQ4sVBmprEey1LNIrk5NioKgSDire1d+qUzuHDKmPH2kyaZDJypMpbb4nM\n87BhounPNEUmubpaY+NG0Yw4erTNVVeJzMP06QanT6tUVencdJNoinzhhQwiEYW8PAtVhWHDHB5+\nWGRMqqp0HnywjU8/1ThyROPFF9MYOdKmrq6jDjsR0bV2PaktBs5rEIWOILwvZRmya1zicv311wPw\n8ccfdwqcN2zYwH333UdaWhrXX38906dP55133uGee+5hw4YN3HLLLRQWFgJw5513sn79ehk4f47p\n6VrkypW669iSJWepqEhh0yY/Y8ZYFBZarF0b4K67Wr3x5s1Tuk0SdHUNy8mxaW1VePvtZBxHlPWJ\nemuD3bt17z1uKUm0GpRcGyUXigycuyAY7LkcXG/oakGIlexJtHDV1WlxpebcMRIFUdHvcxsD3Xoz\n1yLV3X7LyrK5886z51lub9uW7MmoiXFEOUZzs+qN4WKaCocPdzzX2Nj59bo67ZxjoMZ3vtPK0aN+\nXn89hWuvNdi7V+fgwSTy8y2mTBG1y2fOiIV59ep0Ro4UQbfbjJidbTN1qggUPvlEQ1HgO98Je/M2\nTZHhLi6O8P77frZt83H99UFvO7CsLI3hw0WW3a3tTkpymDEjxIwZIe88uG6Mrvb1T36S4TVnJrJ2\ndWuZe4Jc2CX9gbuj5HLo0CEKCgp4/PHHufHGGyksLKS2ttZ77brrruPnP/85TQ26MBYAACAASURB\nVE1NXHvttaxbt+5STFsyiOhqLcrJsTEMkRiJvVbNmxeksjIDRYHNm304jujZcUsOTVM0tQM8/viZ\n80oRE13D3Cb21avTOXxYJT9f7Bq6PUMjR9ooirgmXHWVxd13t0nzE0m/IwPnBBiGyo9+JIK8Zcu6\nb9BzPwPdy+t0lRl0JXtU1SEcVklLMzu9npJi8fjjZ7zH8caMJhxWvQUruklt6dI2nnzSpr3d5oc/\n7FCCcNUdXL3iqqp0li8/Q2lpC2VlaTz/fDrTphk0Nqrousigxkr9uAuVkCDSPOk4wKtNM02FRYuC\n2LZQvNixw8euXTpz5xrMmGFg23gGJo4Dx46p3HmnyGzousN3vtNGWVmAYcNshg+3OX1aZd68ILru\nUFQUZuNGsShXVlqkpKTwxz/6yc0V5Sa/+10y06ebndwQo5v9Sks7a2jH6pBGd3n3hujM8sVo/JN8\nvom1Lg6FQgQCAQ4cOMDkyZNJTU2lqamp02vV1dU0NDQwZ84cgsFgwrGzsrIGdO4XA9+5O//L/Vgu\n1nG4iaRAQCMYtGhsVGhvVygstMjIyCAQ0Lz3paTAP/2TRTBosXKlH0VxGDYs3XvPqVMd25mBQCrD\nhvk6HUtGRgaqqniPAwGNU6cMIhGbtWs1IhGh0DFsmM2wYTaaJvSbGxpUbr01wscf62zf7mfBAp1A\nQOPpp925D417PAOB/PsafPj6qRteBs79RH9tleu6Q1KSQziseHfysWN1ZYwSXXscDqusWOEGay2e\nbbSrE/300w7JyR0KF4sWBSkvD8R1HNR10egnaoMddL3j+6LroeMdv1tWoqoOBQUWlgWVlUls3iwW\n1Ntui5CfbzF8uE1FhQ9NE7rR2dk28+ZFqKrS2btXZ/58p1OJyIkTqme/7Z4T98Zg0aIwtg3r1yeh\nqqKM49gx1ZMmam5WeeihNsLhjuDZLZuoqkrrVIscTVaWyLK4W4C67rBsWeu5c9h9qYZLb8T/e4oM\nmCXRxGacU1JSCIVCvPXWWwB8//vfJzU11XstGAzyve99D4B33nmHQCCQcOxnnnnGezxnzhzmzp3b\n39OXDCJOnTL493/XUBSFJ5+0CAQ0nnrKor3d8q4hbiD6zDOifyYnR6Ghwe/ZaEcHqMOG+XjqKcN7\nHEsgoPHkkx2B7alTBv/n/+jk51tkZ4tm8a98xeCNN3zU16vs2yfccD/5ROPjj3W+9S2H5GTb+87Y\n4DgYtHjmGTFv93gkVyabN29my5YtAGiaxpw5cy54TBk4J8Dns3nySbcZr38Dkq70JN0Azs38xiNe\nZtvN+kZnNaMbLyoqUqiq0ju5/4FYUJYvP004LPSVDQOmTjXRtPPrpt151dZqlJS0erJ17e1CCN+1\nPjVNxSvjEMcpHmuasO8uK0ululqUaCiK0FVualI5dkxsvTU0iM7oEydU3n3Xz/DhYnsuOpDVdcfb\nsnPVRFyysmzWrRMlHklJDoYhLMAnTgx36uxetSoN0+wosXDHD4dF2QZwXkNfVZWOacLcuUanpsru\nbpZkRlhysYnNOI8bN46amhomTZoEQE1NDTfddJP32sGDB733VldXM378+IRjl5SUdPq5ubm5v6Z9\n0XAzaJfj3KMZ6ONwd9ra20WWt6WlpdM1saWlI2lUUtKKbQulpMxMm0gEgsGzBINw6lTn3UiX6GnH\nO5ZQSJh85eWlcuSIxrFjQp1pzZok7r+/jdWr0wmHoblZ/L0LBaY2HMempSX+LrBhqNh25rn5t/T7\nNT7RsVyOXO7HMXnyZCZPngyIY9m6desFjykD5y5w70JDoe7f25PAqKuSimhSUkQgF2+seGMkcoNz\nyzqimwxdmTldd7xtK9NUqKhIwTRFg9+ZM+p5gb0rAeSatezZk0xtrcbixUHmzYtQXa0xZYqoc452\nPXSNPsrKhFJHaWkLx46pOA7cdlvEk5GrrEzDNGHsWItx4ywqKoSj39y5BlOmhL2SlejzVl6eSiQi\nuqXdTPtDDwkd5KoqnePHVUpLI/z+9zrr1/uZMUNl1y6d3Fz7nP03XkOi+/nomxZX3N/92T2/pqnw\n6acaU6f2rGbZpacBcyK3LImkJ9i2jWEYWJaFZVlEIhFUVWXhwoW89tprzJ8/n3379rF7925+8IMf\nALBw4UIeeOAB7rvvPtLT0ykrK+Mf/uEfLvGRSAYLDQ2q526bqFnPrXd+8ME2amv9rF/vR1HEelZW\nJpq79+8XIUdvdmWj9aGPH1eJRMT6O3KkzbZtyZ4j7Jkzopwvuu+nK/UjmciQ9BUZOPcj/fkPsC9j\nxVPXcEsYYo02SktbCAYt2tttysrSMAyYN89g6tT2uA2H7gJUUGBRX69y4IBovtu2LZnjx0XG2O+n\niyy5kIlz3RILCiyCQVEy8dJLaeTmCgUNN1Ns28I0Zdgwm5deSvMy3NF13Q0NKrm5FhMmWITDYnF2\nDVwefriNDz5IZssWlUOHNBxHNA9alrD1bmpSGTfO9kxjysrSyMoSTS3uTQuIGnH3piM2sE5Ksj2V\nkfjH3H3Ne7zPdOWWJZF0R3l5Of/8z//s/bx27Vq++93v8tBDD3Hw4EHmzp1LZmYmzz77LKNGjQJg\nypQpPPzww9x7772Ypsndd98tFTUkQM+DTEWBSZNM3norwNGjaidVi+h+FaV3+QaPbdt8ngpSfb3K\nzTdHPLfZwkKLGTPaSUszMQy107UrJ8futAsafVwSSV9QPvnkk0vacnr06FGuvvrqSzmFhAzEFkVf\ngqnuxujpmKGQ1qkEQVHEonLoUMci5wZq0Xfr0ZJpbqD4xhupHD2qoeuifljUIwfPqws2TeWcY2Ia\nigLf/W4b27Yl89FHOooCpaVtvPSSmNPNN0d4+20/qgrTpnWofCgKHD6sYtuK5zyVkmLR1qZTUZHC\njh0+NM1hyhSTnTt96LrDmDGilvv66w1v8V6y5Czl5akYhui4LioKey5W7vEkJzvnnQO3mTI6aHdZ\nsSLTa6yMrkfva817bwLny30LrSsul2Pbv38/+fn5l3oaF5XBvGb3hsvlb6w7LvVxuC5+iiIkQg8d\nEjr5o0bZzJ7djqo6vPGGqKVfujTord/xSHQssVr3Z89qrFkjrhuzZxvU1Ghe87h7jVu6tK3Tbmv0\nbuXFCJov9e+lv7hSjgM6SjUudM2WGeeLTH/8g40nd9Ydrt030KnO2ZVdc+/G3Ttz01QIhztSA9EZ\nB8NQPetsXcfbHnM/D6LWuqjIZMcOH6oqAtlDh4SpyKJFQXbsSPeyEG42fNOmAHPmGJw9qzBrVjub\nNydz4oTKVVdZHDminlsUA9TVaZSWtrJ9ezIZGQ5+v0MkojB0qMMjj4ha5TVr0klOdvjylxUikY6y\nl6VL29i0KcDGjX42bfKRkyOC/mgr8J6e/96YlcQzOUlU4x7PLUsikUgGI5alUFcnSvimTTPIz4cJ\nEyxSUx1WrUpj2jTTe33btmSqqvQL3klbty7grZHXXBPm/ffTvEy0aYqEkHsNCodFbXZvelIkkq7o\nc+B88OBB/vVf/5XKykrS09PZuHFjp9elfeulpas6WbfOediwdEChpeWMp2Ps1ifrusPMmQYZGfE3\nJIqLQxQX06msw82UFhRYnjuU6wz4la8EWbs2cC7YdjyljaqqJK6/XmSqm5tVduwQmdbiYoeTJ0WA\n+e67HRau5eUBcnMt3norwOHDoizDVbVYs0Z8/9KlbefquFNITtZxHOEEaJoaKSmWpzEaibhyR45n\nNR5dw+dqhrqWsrEZi2h95tjzHL29CV0bnsQS65YlkUgkg5FQSKOiIgVNc7BtUTKhqsKYavbsyLny\nOHHN0TRRIhcOK53UjLqjrU0/L2vc0KBy7bViN/Gll9IYO9YmM9PmyBGRzHHXz+ZmlZkzDYqLQ3FV\nkiSSvtDnwNnn83H77bfz5S9/mRdffLHTa9K+9dLilgnElhDE1jk//bRDIKCd6yhWz8u4uoHstm0+\nT27ODSSjSwncIB2E9Nzhwyr19SoPP9wKpABigVyy5Kw3dna2TWOjyqZNPqZOVc/NW7zmOGKhvfvu\nNgxD9Uo5XnkljaIik2uuMc9J2bkmJWLxjZbac7Pd48db3H67r5PYvq475OaKOutJk8K88kqad66i\n7bBNU2zzua/Fy1h0FeT2JTMtkUgklwPuLmY4rDBzpsEXv9jOyy+LtTQvzzrXuA0nT6p86UsRCgsj\nrFsXYOZMw1N56i7zGwppvPFGKu3tCsnJHYocJSWthMNifc7NtSgujvDLXyaTm2uftwMqJEbTKS1t\nkQ2Bkn6hz4Fzfn4++fn5vPfee+e9Ju1bByeu0YfLqVMGLS3muVKN7t3tXG3prCzbU9eIbTg0DJXn\nn08nEhHNfTt2uFFlgKYm1XMOXLIkTGWljs8npPKam0VJxogRota6rCyNpUvbyMgwKClpxTAUtm4V\nRikffeRj7twII0eKump3EVy6tM2bC0B+vsXBg8I+e8wYiyNHOrQ6s7JsPv1Uo7ZWaNUmJTletjm6\nPtm9YVi6tM07B+5x9zQrHNtcIxdviURypSB2CEOe/KmiiP8OHtSwzy1x//3ffv78Z79XJugmI6D7\nHp26Oo38fIs77zyLz2fT1qZ7/gR///chfve7ZF5/PZlp00z27dO9eURf71yJ0Xi+CBJJbxmQGmdp\n39p/9KWZsKsSAugIcJ97TmRhH3tM9+TeojOq0bW2bimHG0TOm9ehyenKtum6g65b3oLo89kkJYn3\nRDf6GYbC++/7uOUWkYVws8GLFwd56aU0RoywGTPGYtOmAMXFIW+RXLq0nd27RbR65ozC/v06CxZ0\n3n5zrcMzMhwsy6a+XsUwYNgwmzvuCHoOilVVupcZKSoymTcvGLdhZenSNu8cGobqHVusDbl7vIl+\nXwNheCKRSCSXini7mNdcY5KTI8ymdu/Wycmx0bTzlTRU1SEryz5vFy+WlBSL5cuFDKirmFFRkeKp\ncxw7JhSTbFvhs8/Ejmh0IidWCUki6Q8GJHC+UuxbB8Jqsjc2n8Gg5dl+P/mkfcHuRtHjPfxw2Hte\n05JISUkjJYXzbE6jeeABC3AIBIZ0GrOhofNnHnhAyNxBqucaJWqpTcJh4fZUV6fxhS9Y+Hx+kpKE\nEUpmZgrLlxusWOHzsgyulSrAmDGwbFkIn0+4UC1ebAFpnnPVc88JM5bx4y3a2hR27fJRUGAxZozF\n5s1+Fi9WGDYsg2DQQlVFw0hOjk1VlY+vfjW9k2Vsh9tVx7G650AcW8f3dlizR/jpT33n3LX69vvq\nzd/HlWSFGsuVfGwSyeVO5wRBR0B68qTK7t0+li1r5dQpsZu3ZMlZL9gtL0/1+l/cZEpX4wOd6ptN\nU0iYXnedqFtOSrKZOlWlvDyVhga1k+mXGyy7SaCO+UokF0aXgfPKlStZvXr1ec8vWLCAVatWJfyc\ntG+Nz2Cy+Rw2zMcTTxhYlsOqVX4AnnrK8dwSo+cWHcwFgxanThmehWp7u004LP6M2tutc/+3+dWv\nFGpqNMaPt/j618VC6QaVy5ZFME2TlSv9/PnPCjfdFGH6dIfnnks6Z9Vqc/CgyCQIa1eTSMRm40aN\nHTt0/H544gmLf/93jfZ2hcJCi29+00FRdJKTnXN2qxo33WTxu9/B++/7+Kd/ipCcrBMMWp3sXEFj\nyRLbO7aWFpM33tBoaNC9cxGLe2zJyQ5PPGEBwmJ240alUy1eb+nq76M3AbVk4Ii2bwWYP3/+JZyN\nRHJxMQyVcLgjUHWzxG521y3103XH62mxbYW//EWoK331q2EOH9aoqtK997nGUm5QGwxanZwIXaKz\n09HyoO7P7s5gbBY8emyJpD/oMnAuLS2ltLS014NeKfat/a1f2Bebz2XL1HPvF/9d6AIQPd7KlZkU\nFZm0t4vF7tSpFm8xct0SO+s5f3auGUQ/13R4GoCCApERCAbP8sMfZgAaRUUmeXmizu2551Tve0Tp\nRhBdB/CTl2fx7rs+zpwxyc62aGhQvQxFc7NKJCLqjk1To6EhDctScByHYPAsjiMWRtsWFqvLlok5\nCxUNSE8fcs4B0CIcbud//283c3H6vPPo2saGw2JO2dkWLS2t5/2OxO8w/dz3dHyvu1C77lqhkNXJ\ncbInJTeJ/j46a0J3zP1K0teMZbAeW7R9KwgdZ4nk84CrnORq6s+caXQyiFq+/IxXCrdiRSaGIcr4\nfD4RINs2fPCBj+PHVXJzRe9IV6Uabk9NrCMu0KmJ+7e/Fd8fnVX2+UjYS9IfXgqSzzcXVKoRDocx\nzkkhRCIRAPx+v7RvTUBfGsO6sw5NRHe1tqGQyNY2Nsav241HPIc8V3cYhMueW+88a5YQvl+zJh3D\nEFt4BQUWixcHCYeF697y5WcIhTS2bUvmL38RxiWPPNJKWprJggVnO81X1x1OnFAZP97ysg3x6rhd\n1yj352XLIqxY4WPNmnSv0a/7c0SnRsHo9yTSWe5uoe7J7082DkokksGObSv4/UI+tKIihXBYQVEc\nQiHNW7ccB3JzbbKyhM12SUkb772XzEcf+UhKEvXNiQgENEpLP+tUlxxbtwxiXRUyo1BfLzLh3fWS\n9NWYSiKJps+Bc11dHQsWLABAURSmTJnC9ddfzy9+8Qtp35qAi3WnG+v6F6/pTdcdCgvF83fc0Ra3\nidDFDYbLy1PJyRGyctG1ZD6f0ElesSKD/HyRNX7++XQef/xMJ6UOw1DZvDmZXbvE4vntb7fxyitp\n5OTY6LqDZSkxHdHx5+EunG5mIdpiNfq4f/QjlZycjtKG2Ea/2AV0+fIzhMOqZ+2daJFNJEE3EOY2\n7nMyoJZIJJcSN2ngajC7mebp0w2OHxeyoe56f801JlVVOg0NKgsXRvj44yROnVK9Rj+31EPXnbhr\nW0qK5SVkYnGz1KNH2xw9KrLWY8ZYlJenevOzbaXTdU+um5L+pM+Bc15eHn/9618Tvn7vvfdy7733\n9nX4K44LudPta+DUlQSPz2fzP/+nCGhDofMD60Taw24DRuz2mpuNdhw8R0DDUElJMbzgduXKNK6+\n2mTMGIu6OpU33wx4KhiPPNLqBazx5hAOq50k8KIbUmLr4XJyRGDsOA4NDRqlped3a8c7Xle32T2u\nrqT5ekNffn/xMt0SiURyqXHXSHe93bMnmcpKYTximgrt7SqZmaI0Y+pUk3XrRIP3zJlGp2tHaWlL\nl+ta9C5iTo7IXq9cmXFufceTutN1h6IiEai3tWmsXp3mlZLs3StCnGjdfZmEkFwo0nK7HxmojHJv\nx/X57B5J8LiNZtG1uO73ucHogw+2ceSIGOO73207L3vduUZNZBP27Enm1CmlUwbCshRycmx27/bh\n9ztMnWpy4oRKZaWOonR2IHRx5+B2YbslJZbV8Z0PPdSGYYjnystTPZ3Q559P57rrDBYuVIhEHM/V\n0DVtSeTs55ZzuMflZti7o6vfUW9/f3I7USKRDHbcrHFRkcn06SbFxSFeeEE4sublWTz8sNC+dyVE\nZ81q7/T56JIL6Hp9jL6ONTSoFBcb1NRoXuKlqkqnvl7llVfSyM21cRxIT+/YFY3W3ZfrqeRCkYFz\nP9FdsNPXO92+1jfrutOtBI+r1BCLaSqEwwqq6rB1azK2DY6jsHZtwKvvdResWJKSbGbMCHmBbTis\nejrMy5a1ei6AeXk2eXk277zjj3usbkNITo7Nzp06tq2wfHkLmuZQVpZGe7uoMd62LZkpU0xOnlQ5\nfLhjPrm5ludEmOgcuecmOlh3jU6iic5Cx6tfTtTg0tf6dIlEIhmsuNlfVxmjuVm4zs6apWBZeBrL\niiLcXufOjZCeLkrkysrSPN38eOtjvGtS9LXTTcJUVKR4ZlqKAsOHC81+gClTTP70Jz/Hjqk8/HAb\na9cGWLkyw6uPlmuw5EKRgfNF5GL8g+0qUIsNFjv0h9VOAaSuO8ycaZCR4ZyzxDb57DO1UybWtVkF\nvOz2ihUZnsV39EKXl9dhiBLbOT1xYth7LRTSvIyvW/vWkfm1vPrnhgaV/HyLq66yPDvwq66yyM62\n0TSHkpJWXnghncZGlcWLrU61ee4Y8eqbXWKD92hZo0TnOjZT7Y7dF+R2okQiGaw0NIhrQfT6mJNj\n89JLaYwebTNtmkljo8q6dQFmzTL45BONxkaVwsIItbUatbUa8+aJsdyGcnftdOU43WuSi3t9KisT\niZfFi4MUF4u1fM2adI4fV1m2rBXbVjhwwI/jgKaJzwllJbvTuizXVcmFIAPnfmKggp2ejpuoJtl9\nrbuALjbb62YTli0TtcexihtJSaKreuXKjE5am7EIN8GOx9EBejis8sYbqQAsXRr0stHRtW8+n/h5\n5coMb4HOybFZvFhkLK6/PuiNtWZNOlVVbmZBfGdysuqVoriZ43jyRtH1dNFzd8te3Pck2lZ0Gw/j\njduXvwu5sEskksFGvPXMdaJ96aU0TpwQAfK6dWKtHTrUprFRZcYME5/PpqDAIivLxrIUzzpbVR2W\nLWtF1x1ycuLvgrr60bW1Qt9/8+ZkzpxRO+0Qaprj2XnPnGkwb16wk050ogSIRNJbZODcj/RXsNPb\nxrDYLHP0wpYoK5qSYnkGH6GQnTDwdoPm6DnECsx3iOG3kJQk3ud+50MPtXlNfW439ooVmeTkdNhh\n5+TYrF3b2SAnWlIuXkDqBtnusZaXpxIOKxQUWF499YgRtqdRHU2iTm7359jzF93MEpu1iDdObGOh\nDIIlEsmVQnSSwTVDqa3VmDlTuPlpmkNSkoPjwIkTQuHi5Emx9jc0iOC3qUnlqqtEkGzbHWpKbrlF\nNK5Wc1aW2FG0bVGe4a71RUUmGRlOp2tYc7PaqRcm9rookVwIMnAeZPRHTWyizyxZcpby8lRWrsxg\n+fIzZGV1NAfGBoGxwXGsHBuo593Jx2vwU1XHWxSjJexALH4+n/gv3tbfkiVnvUDclaJzMwzud7p6\nyg0NKjNnGlRV6axZk05RkcmHH/qorHR49FG115n73jRixiP2vF0q0X0p9i+RSPobN5g1TVHT7Jbj\nvfmm2EGcNcvg0081VFXI1e3bp5+XnKmt1by+FVf+Mzf3/HXKNBWvxOPGG4VfxNatPiIRhaFDbUwT\n3n3Xx+bNPkpK2ti+PRnTFE3q0WPI+mZJfyED58uQeBnpnmRQgS5VNs4Xj+/83niKF6WlLec1XUSX\nN6SkWDz2WMdj6MgSm6bi1ay5etOhkOiU3rlT92qmo7fjossnysrSvJsAN9CvqhIBa3FxiL17dRSl\n55nfeDct8W4oejJWd+NeDGRjokQiGSiysmz+8hcfisK5+mJ44QVRojF5ssnRoxqa5rBoUZDx432U\nlQXIybFZtEiUULiJlmjiZZzFe0XSZdIk0ROzbZuP/HyL5maVkydFVltRHLZvTyY722bXLp3KStUr\nNZT1zZL+RAbOF4HeZP26C866MuXoakyX3gR+3TXN5eTYXuAbLVYfXd6wfPmZ80otOr5b9QJ5XXc6\nfW7sWNsr8YDzA343y9x5TLVTEP/UUw7g9MjaHDrURNzHrv509Jzd7HF0KUks8co9JBKJ5ErB57OZ\nNy/oJSrcpIeqirV+7NgIN92kEAg4vPdeMrt36ziOwrRpBhUVoj45nsFJdKIDOtZf12X2pz8Vgfmj\nj7ZiWVBeHqC+XrjSTp5sUl+vsm5dEqrqMHasfd6OpUTSH8jAeYDpS9ZvIO+Iezt2oqY512XPlZqL\n1smMpiuptkSNd9HuhIlswKPLSdz5RZ9nSKxTHX080edD151O9uPxfnexTZSJtv9is/eXor5OqnNI\nJJL+JHrdjG68C4dVVNXh2mtNsrNtDh/2U12tceSIFqWqJBrKjxzRuO6687VCfT77vL6b6PXXDcpB\nlACqKug65OfbXHutwY4dPkwTFEU0pLv6+6apeFKlia5TEklvkIHzZUZfgqH+qHNN9L3uFlp0gBtP\ndg7iB9GxW2huA96aNemdbjRig2SX6Ma9ntJV1j5a+zpaHi8ersFMT26ILlXgKgNmiUTSH7jrppvY\ncFWKcnJsDh7UyM+3WLIkyJo1wrlv7twIliWC269+NUxNjUZlpU5SkkNxccgbM3qN6irZkZZm8uij\nYn3WNIef/CQDRREN6K++muYZr8yZY5Ce7rB6dTqKIhwObbt/XGAlEpCB84AzEFm/i1FfGy/Yji1T\n6K62OnqbrackyjCDCFQLCoR2M3QOlrtSyugN0Rn2eNaw8RonXWQjnkQiuZLJyREldOXlqZ7BlHNu\nyR4+3GbdugCWJVQyhOmJsMY+fFjj1CmVadNMhgwRsnFuUqKr61J0iYUreQciWJ4yRTjKHjrkJxwW\nzX+33x5k+/Zkqqs1IhGFpCTRnB7dhCiRXCgycL4IDHQg1d8BW6JgO1HzXE/GcImt/Y3XWBgvAHa3\n2w4dEp3XJ06ofQ6We3szE69G2+c7/1h++1uRgbnrrlYZPEskkisKn89m6dI2L2Ewb55Bba3G4sVB\nLEsEsJWVOmPHWlx3ncGoUQb/9V9JAFx3nXGuzhkcR2jxGwaEw0qX5ROueUnHbqN43rI6rLxzc8PM\nmxfhzBmFP/4xwPDhtmeS9dWvBi/YkEoiiUUGzpeQ/gh4+8vquy9zif1MojHiydrFzjv6s/HmIIJr\nsdBmZ9vcfXdbr89bd98R+3p35y02sHebGRM1FkokEsnlTEqK5ZXT1derTJliUlYW8MrZbr01Ql2d\nyh/+kMSttyr4fELPeeRIg5wcH4cPa9TVqXz3u22sWxegoMDqso+lpKTVk1AtKWn1MtBO1EeGDbPZ\nsCEZy1LIz7coLg5RXEzCHhm5LksuFBk4XwLiOfl1F8hdCH2RYYsXNCZS2XCfc+vfXBc9N5vcHYnO\nRbxANp4eZ0/OUyikdXm+e5NNj0e0ZFKixkKJRCK5EnDVh6LRdSgsjNDUlMy0aSZVVTqTJ4tyiuPH\nfRQUWOcyzmKNXLq0DctKXHtsGKrnBFhQYGHbimeasnp1OtOmGeTl2ezfg0XkSQAAIABJREFUr6Np\nAA6jRtnnmXYlMgST67Kkr8jA+SITz8mvu/d19Q+8v2uoxZZY11Jr7vxicevfXAOT6Pq12DlGP2ea\nSqdzEXtj4Wo8A3GD5nglIbHvKStLIxxWvOC2v5ESdBKJ5POAZQlZOYBZs9rx+YSFdkVFCtu2JdPc\nrOI4UFhosXGjH0XpqFV213jTVNizJ5lNm3xe2Vu8nUoQDeiLFwd5/vl0HAduvz1MXp7FyZMqw4Y5\n7NghgnJXiSn6uuFeL9zeHImkP5CB8yXEzcz2Z0a5L1nqeA1v3d2NxwuGo+vfuppj9HPRTXglJa2d\n5uAG4mVlaZ3GTjS3RNJ3IBZs10wl0VxirbJ7y2CQoJNIJJKBws0CjxwpEh3796d561xTk8rUqSZN\nTSp1dRq33x70Grn/5m+Eccn77/sIhxUqKpI94xKIX04R7SBr20Ixo65OlMM1Norr3B13BL0SOVez\nGcS1IzqAltbbkv5EBs4XmZ4GVH2VnUuUpe4uoBbP9+6OPHaslBSrUxa5q++Ld/dfXp7a6eclS85S\nUZFCc3PXbofRQXI8ofvenMv+dJiSC7NEIrkS0XXxXyzr1/txHIVx4yw+/jiJ2bMNiorCnktgaWkL\nO3emYFlQWdl1MgNEwqOiIoUdO3z4/Q633Rb23AUtS2HdugAgHAfDYZW0NDOh6pGLXJclF4oMnPvA\nhdYe9/RzF/oPPJ5F9sUo++gucx0b4McudNG10VVVHX+iiQxHostHoktfgkHrvPdEz+FCj1MikUg+\nb7jJiZKSVi8gNk0NXQfHUVBVh9tuC57TUXaortZoalJ5+GGhwbxxo5+8PIuSkjbS0qxudwDLytI8\n85Pdu3Xq6jS+8Y0Q27f7PdWNcFihrCyVr3wlSGqq1SmJ4wbs7mOJ5EKRgXMvGejmggsJ6BI17/XG\nHKQ/FD4S2ZvGyzKbpkJKinWevFv0+6O33XoqKWSaCs88Iz6/bFnnmu2uDFDkNp5EIpEkpqFBxTCg\noiKFefOCmGZHX0tpaSu67mDbCorSUYIxcqTN88+nM2aMzdy5ETZt8vPii2ksX96SUIrOlf1cvDhI\nVZWQtTt9WmHkSJtPPtEZMsRm/HiLoqIwb74ZwLJg1ao0/P7O6k3dNYZLJL1FBs6DiJ40unVHvOa9\nnuod91cWtqHhfH3m2GMrLW2hrCyNlSszulSxyMmxyco6v4kyeq7Rj92bhJ6oecRDLqoSiUQSH1ci\n7o03Umlq6qhDBrHuu3XGq1enM3WqSWGhhd/v0NAg6pAPHdKor1cZM8bi6FENy1I8Qy3DUAkGLQIB\nzWsQF7XOaViWwte+1s7GjckAzJ0bYfNmP6rqUFQUZvHiIAcP+gGdEydE2Ya7i5kokSOR9BUZOPeS\ni5WV7E2jXjxim936IknXF9xFqrumR113EiqKuLhzr6rSKSlpRdM6OqSjs+mJmkCefFJ8fyjUN21r\niUQikXQmKUkYUEUHzNF6y0VFJiNH2uze7aOyUicnx0bTYOpUk8ZGFcNQmDBB2HO7PSxu87eqKixb\nFmbFikxGjLBRVTwnQhBSdkKlw8Lnc7BtqK4WxitHj2r4/Q6zZxusWJGB3+8wcqRoMF++vMUrK5FI\nLhQZOPeBgfrHF1tq0R9c7C2qRMFwvGC1q+A1Vm1jzZr0Tp/pCYGAyHKEQvHnI5FIJJLekWhnz137\nm5tVsrNtdB1MUwS7liUC3rlzhYzd1KntrFmTTnu7MC3pKMuz+N3vNMJhBVUVTX8FBRaTJ5vU1GjM\nnx/hs88Ufve7ZO65p5133vHz9ttJzJsX4cgRDcuCoUPF2q4okJ0tyj1k0CzpT2TgPMiI/sd9MbOi\n/ZGF7W6MRE193eFmGxJ9T6LHEolEIulfopMa0SV5paUtXnbYshReeEEkO77+9XYaGjTGjYvw9ttC\nBWPqVDGWooj/1q4NnGs2TOb55/0UFFhkZYlMtauuVFWlU1QkjFUsS2HPHt0L1idNCqOq8MknGm++\nmcSyZa2kpFg93nGVSHqDDJwHMf0hh9abQLI/Fpf+WqC6C4hjNZP7+/slEolEkpjopm23VKO2VqOg\nwOK224KYpoKiQGOjxuHDGkeOBDAMESiXl6d6gXZFRQoAa9ako6oK/+t/mbS2BnnjjQ550pMnhalK\nZaXOwoURPv5Yp6pK51vfaicYVEhPF02C776bhuN0aPHHayqX1wjJhSID5yuYiyG5Fq9Jz6U3+tPx\n3t+fAbGUn5NIJJILx01khMMqK1ZkkJdnsXp1OpGIcBRUVdi6NZlrrzXIyHCoqRElc1Onmpw9q/Du\nu35vrKQkm6oq3auXzskREqKa1tEDY9sKhw5p3HprmMZGlcpKYbE9ebLJL3+ZjKLAsmURUlIs5s83\nOHVK4aWX0jqpSV1oz5BEEo30oLxCcRvoVqzIHDCr0ejvCIU0VqzI5Le/Te/V98aOMRBz7c9zEc+6\nVdq5SiSSzxM+n01Skk1BgUV2to2igN/vcOqUyq5dIhDes0entVXh6FGNI0c02toUqqs1VNXxyjlM\nUyEcVqit1XjooTbq61Wee04/9x3iP1V1WLQozMcf6xw/rjJ+vEVDg8rJkyrKueRyRUUKoZAI0Csr\nxeddNanly8/0WWVJIomHzDhfobgLkvs4kVbmYCFWq3kwZgTiKY8MtK63RCKRDEZ8Ppu77hKmJgsW\n4GWgVdWhqUnFshSam1U0TahfpKaK4PWuu0TN85o16ZSWtlBQYHnjKYqC44j3uVlttwRk2jSDqiqd\nY8dU5swxuOaaMOvWCf3mY8dUysoCqCrcemuEiRPDmKbSSd1JmqBI+gsZOA8y+qukQNcdb0GKvtvu\nz5KFRHXI0a/3dIyuLFL7e54SiUQiuXCiS/TS0kwef/wMhqHy/PPpTJtmoGkwZIhNZqZDRobNlCkm\nv/lNMo6jcOONEQAv+AZRcvHGG8KwpLS0hfLyVAwD8vIsTp4UwbjP5/DppxrV1QGOHlVRVdGA+Ne/\n6uzerVNf7+fjj3Wv3todf7AnZiSXDzJwHkT0Z/YyOhuQyISkr3OMHrM/6pBdh6iBDG4H4kYh0XMS\niUTyeSD2miKSNMJB8LPPdH7xixQUBb7znVb270/CcYQtd36+xcGDGrW1ad51asWKTBQFcnM7r6NX\nXSUSQJs3+xg71mLSJJP165PQdYc5cwzOnFH49a9TGDfOQlGE7nNWltBvlkgGAhk4X8H0RyAX2/w3\nkGUJvR3vUjT89URmTyKRSD5vhMMqa9akY5p4pie67uA48NlnOps2+XEcuP32MGPHRnjrLSFN55ZU\nACiKwje/6RCJiGREQ4NKQ4NKUZHJ6NE2lgV79ujMmGGQk2NTWBhh27Zk8vMt6utViosN2toUiotD\nzJsX7FSqIRMckv5CBs6DiIHOXvZ2/P7IUF8oiYJjWVsskUgkl4bodbm0tIWysjQqKlIIhxUURQTL\ndXUq3/lOG21tupf9zc+32LDBj6r6GTXK5uhR0RCu6xalpS0EAqkMG+ajubmzStMXv9jO2rUBjhxR\nycsTa31BgSj1qKzUsSz40pciVFXpNDaqKEoK8+YFpVSpZECQgfMgozf/uPuScb3Q8o+Ledfe0+D4\ncmh+lEgkkiuBeOUZDQ0qWVk248ZZmCaMGCHqmdetC2CanGvaC5OZafPrXwvd5qwsm4YGlc2bk9m/\nXyhxNDVpPPlkR7NgdP9LJALTponMs6rCypXp5OaK97qGKBMnCsWNpiZh0uJer2IbBSWSC0FqaF2m\n9ERiLZFMWuzzid7nLlzRQauoR770i4+b6XDVOHpyPP2BlJ6TSCSSDty1uLJSxzBgwgSLjAwRTI8b\nZ3H0qDBACQYV9u/XGTPGIi9PBLxTp5qcPBn/GtXWpseUcYgAvKFBpbVV8Z4rKjLJzbVoalK5+uow\njzzSyokTYkzTVFixIpMf/UhIpcq1W9IfyIzzFUqibG30808/LRavrrK6lzJI7i7D7WY6ook9vkDg\n/AaRvtZGy/IQiUTyeSfeuqzrjqep3NKicOKEcPq7+uoIY8ZYOA60tioMGSKaBxUFMjNFQDxkiMXd\nd7edGyeF9naV3/wmnUOHhOZzaWkbs2YZVFdrVFXpjBxps2ePyj33hAgGFT74wMeoUaKm+qWX0njk\nkbZLVloo+XwgA+fLlMGo5jAQzXpdjdWXcyCDX4lEIrkwfD6bUEjDNDVSUkQCpqSkldWr02lqEs18\nu3f7aGzU0DQ4elRlyhST//f//JimwvTpBo4D1dUao0eLNbisLI3aWo2kJIerrzZxHI28PJutW5PZ\ns0dn1CibSERh+HCbujoN04Q//CEJgPnzI7z2WgqOA7bd+XrglnvIUg1JfyED58uYvgSV0c8HAkMB\nWL78dLfjdcelCkjjZchjj68/v2uw3axIJL3lnnvuYc+ePWia2I255ZZb+OEPf4hhGDz99NNs2LCB\nzMxMnnjiCRYuXHiJZysZjIRCGj/6kbvet7BmTTpFRSY5ObbXwKdpBps3+7BthXHjLM6eVcjOttF1\n0dBn23DbbRG+8IV2AAyDc3J1MGSIcAv805/8HDmiMXasxdChorY5J8cmM1M0Brq9Lfv36+TlWYwa\nJRwNo3HlTiWS/kIGzlcwiYK7ROUYl0LebSDo7yx1T8eWSC4XnnrqKb72ta91eu5nP/sZ1dXVbNmy\nhX379vHtb3+b6dOnk52dfYlmKblcKCoy2bVLhBPTp5vs3auzcGGQnTvTUFWHv/u7CBUVfhoaVL75\nzXZ+/etkFAWamlS+8AXOZYNh8eIwR4+qbN7sw+eD0aNt6upUCgos8vMtNA1+/vNkNA1Gj9YYMcLm\nhhsMdu70kZ1tU1mps3evME9xM+ESSX8jA2cJcOEZ48spGzvY5yeRDDSurXE0GzZs4L777iMtLY3r\nr7+e6dOn884773DPPfdcghlKBjMpKRbLlwsL66Qkm+zsjjXVskT2+MUX0xk3zuLaaw0qKvyAMDd5\n910/s2YZ1NRo/OUvPiDAvHlBliw5C/g5elQ0AZomjBxpM2GCxZYtPkzTz223hVFV8R2OI95XXp6E\npsGMGQa7dulYlsKmTQFPxxnkmi/pX2TgLDmPvsq7DdTidKVkwiWSwcJPfvITfvzjH3PNNdfwL//y\nLxQWFnLo0CEKCgp4/PHHufHGGyksLKS2tvZST1UyCDEMYXYC8NBDbaxbl0RursUNNxicPKnS3Cw0\nm00TTp1SqasTZUF///chKir8tLQoNDaqaJoIbF94IQPThGuvNTl1SmX0aNFAePy4yrhxBqoqxmts\nFK8VFlrU1GiMHCkk7SIR0SQ4e7bB2bMKO3b4aG5O85rHZT+LpD+RgXMcPq+SNSUlrZSXp3r6l4Nh\noZHNfBJJ//KP//iPXHXVVViWxZo1aygpKeHtt98mFAoRCAQ4cOAAkydPJjU1laamprhjZGVlXeRZ\n9z++c9mBy/1YLsVxBIMWqipkNFJSRINefb1GKGSyfbuPm2+OsGGDH9uG4cNtNM3BtmHrVj8TJ1q0\ntCgsWRLG73fIzhaBruNARobDyZMio6wo8Ld/a/Dhhz7+7u8M3nvPR12dRm6uRWqqw7FjKo2NKrNn\ni+x1Q4OKzwd33WWxd6+DqooxFEUhIyMjrsLSQCL/vgYfvn4qdpeBcww9kTMbyO+Gi59ZjT7mnJzL\nJzCVmWiJpPdMnjzZe/zYY4/xq1/9ipqaGlJSUgiFQrz11lsAfP/73yc1NTXuGM8884z3eM6cOcyd\nO3dgJy0ZVAQCHUYlgUASTz1l0NpqomkKf/2rTX29im2LUgoQes3Hj6soCmzeLIKXceMsKir8XHWV\n0HVWFJg6FcDi3XfFe/Lz4Q9/EGPZNmiaww03GLz5ZhJjx9osXhzhrbeEC+ENNxjk54Pfr/PUUw6g\n0N7uzlF2B35e2bx5M1u2bAFA0zTmzJlzwWPKwHmQMFgyq0uXtg0q2Z5EtdOD5XxJJJc7iqLgOA7j\nxo2jpqaGSZMmAVBTU8NNN90U9zMlJSWdfm5ubh7wefY3bgbtcpx7NJf6OEIhaGvTqahIoapK56GH\n2qiqSmLaNJPmZpXMTIdJk8K0tuqYJl69s2t84gbYtg2ffupw6pTQgBbJwQi2nczw4Ta33x5kw4YA\nH33kQ9fh8GGV3bs1jhxROXpUBNe//70PTXN45JFWNM2hrEyUayxffvqiXyMu9e+lv7jcj2Py5Mle\nsiArK4utW7de8JgycI5hIOXMBiuDvbFvMM5JIrkcaW1tZefOnXzxi18E4OWXX2b48OFMmDCBhQsX\n8tprrzF//nz27dvH7t27+cEPfnCJZywZ7IRCGm+8IXYmbr45wtq1AQ4fVrFthfx8i+HDbYJBEWo0\nNIiSCtcspa5OY/78CI4DZ84o/Nd/JaHrDl/9apicHANNE7J0b7/tZ8+eNMaOtamt1Zgxo0MH2h0r\nM9Nh2jQDgC1bUti7VyccVigokOoakv5FBs5xuBSB2kAEr70pZRgswWlP5zzYg32JZDBiGAY//elP\nefTRR/H5fBQVFfHiiy+i6zr33XcfBw8eZO7cuWRmZvLss88yatSoSz1lySDHshRckZakJIeCAosj\nR1QUxSEry6a9XeH9932MGGF7WWZVBV0Hn8/xfm5uVhk3OoRPd6ip8VFTIwxQhOazgqo6LFgQYccO\nnd27dWbMMJk4UWg3nzolgvHdu0VJxrx5IhhPSnJYurRNXiMk/YoMnAcR/fmP+3IsZQiFtKittcRz\nlrXNEknfGDZsGG+++Wbc13Rd59lnn+XZZ5+9yLOSXM5omkN9vUZ+vsWOHT4OHxYZ4VOnVHbv9nHi\nhMWECRZnziiMGmUzZYpJKKQwbJjN2LEqv/yl0HQuLW1jeHMtx48rVBz/Anv26OzZIyTsxo61uO22\nIOvWBWhsVPnWt9p5/fVkLEshL8/yaqkdRzQEBgIOubkdduASSX/y+ZSPkFwSDENNqFhiGCorV2ZQ\nW6t12aDo3hCsWJH5uVU/kUgkksGCrjskJTme65/jwK5dOrfdFiQvz6K+XmPiRIvTp0Xt8p49OgcO\naKSnO6SmOti2gmWJegvfwWr8tdWAw/TpJrm5Nl/5SpA77gjyH/+RxpEjGqNG2ezbpzN6tI3jiMz1\n5MkmeXkWixaFmTbN4PhxlYYG1ZOjk0j6kz5nnF999VV+//vfc+LECXJzc3n00Uc7NZL84he/4OWX\nX8YwDO6++24ee+yxfpmwpGcMtlKGnmbA5daaRCKRXD74fDalpS2UlaWRlWUzfLjN8eMq+/cnUVws\nrLF37dIZOlQYpXz0kSinOHFCJRhUuPZaof2sOSbJZb9jtKXiv/3LfLgzBU1zaGnRqajwE4ko6LrD\n1KkmjY0q06aZ/O3fCim6ykrdazD0+UST+4IFHZlmw1DlNUXSb/Q5cPb5fKxatYqJEyeyc+dOHnjg\nAcrLy8nPz2fPnj2sXr2a119/nbS0NL7xjW9w9dVXs3Dhwv6cu6QbLqeFoqeB/mC7IZBIJJLPOykp\nFnfd1Uo4rFJRkcLw4TbV1RobN/rRdYdZswy2bPGxbx/MnGlw4oRK+KzN7L9pxnynAn+yjfVmBP8f\n/4gfWDj7N8wfkwSaQuqQYvYPHc7YsRatrQrr1yfh9zuMHx/m4EEhFzthgsWmTUKtY/nylk7lGZdb\nyaJk8NPnwPm+++7zHs+YMYP8/Hz27dtHfn4+GzZs4JZbbqGwsBCAO++8k/Xr18vA+XNMTwLeni5q\ncvGTSCSSwUF0yVx5eSqmCbNnR9i/X8eyoKlJ5cwZxbPRdo1LRozQ+Y+yEdxdMJq8p+5Hq6/3xsn+\npxKs3Fzqn/v/+PDTIXy0OwlVFXrQIMpBQiGFnTtF9vp//I8Q48Z1qGe4wXJpacvFOAWSzxn9UgB0\n5swZDh06xMSJEwE869af//zn/PCHP2TChAnSulWCz2fLoFcikUiuEKJ7TkIhjdpajbo6EVbs2aOj\nabBkSZjPPlN58ME2pkwxPfvttDSHv5mscGzi3/KX59Zj5eV541r5+TT/YS1vNMwmKU0nN9fGNBUy\nMx2WLm3n5psjng23okBtrcbRo0LPubw81euT0XWH5cvPyGyzpF/pF1WNp556ijvuuIPx48cDeNat\n1dXVNDQ0MGfOHILBYMLPD1YrxyvJajIel8PxBYOu81PvHRwvh+O7EK7k47uSj00iudLIybGpqkpi\nzBgL24YDB4RcXFOTyocf+jh2TOU//iON++9v4+qrTXQd3n3Xz9GjGgUFFvPGOKjNzTh+UW6hNjfT\nWK8ydarJm28moShw221hjh1T2bw5ialThblKQ4PKokVh6utVTxZv2DCbOXNCJCXJRI1kYOgycF65\nciWrV68+7/kFCxawatUqAH7yk5/Q0tLCj3/8Y+/1lJQUgsEg3/ve9wB45513CAQCCb9H2rdK4hEM\nWjzzjMhePPnkxbU/l0jiEW3fCjB//vxLOBuJ5NLi89mUlLRSXp7KqVOKZ7WdnW1TVaUTiShMm2bQ\n1KRiWXDsmI8PPvBRX69y660RGhtVsrIsRp6pJjKukBP/vgojArlPfpfkuoN80DIB/VyUsnevTlOT\nypQpJrt36ziOkKKrqtKZOdOguVloOY8bZ7FmTbpXGiiR9DddBs6lpaWUlpYmfP1nP/sZ27Zt47XX\nXkPXO4YaN24cBw8e9H6urq72stHxGKz2rZe71WR3DPbjMwwV2xa1ai0tLYRCvcseDPbju1Cu5OMb\nrMcWbd8KsH///ks4G4nk0mIYKmvWpBMOK8yfb2FZwqjki19sp7IyDV13UFUYNUqobbiKGjNmmHz8\nsU5xsUHNAYXA5HQ++Jff8t7eMcyZY1D3L7/lqtR6nD0O11wj6po//lhYdmdmijEdx2HUKKHUUVOj\nUVho0dKi8OGHPoqKzEt5WiRXOH2ucX7zzTf5zW9+w6uvvnpeNnnhwoW88847VFdXc+zYMcrKymRj\noKTXuA2Fsj5NIpFIBi9+v8Pp0yK7fOutEbZvT2bkSJvcXOHqV1enoap49tcnT6qMHWtRXa0R0ML8\n6uPp7G/L58gRjSNHNN54v4B3jk/l9i+1smuXjxMnVHJzbXJybA4e1FiyJMzo0TYnTqjs2SOSdmPH\nWliWkKTLyHAwTeVSnhLJFUyfA+dVq1bR0NDATTfdxPTp05k+fTqvvPIKAFOmTOHhhx/m3nvv5fbb\nb+fWW2+VgbOkT8iGQolEIhmcuMmNb3+7jeZm4RQYDCpMnGjS0KBy+LDG2LEWDz4Y4uRJlc8+U6ir\nE418ra3icdBJIW9iEoWFFlOnmtTUCJOTIydSOdEa4Gtfa+eGGwxsGzQNrr/e4C9/ERbec+cKnegT\nJ1R+9rMUTp5UGTHCxrJg5coMaZIlGRD63Bz45z//ucvX7733Xu69996+Di+RSCQSiWSQY5oKK1em\no6oOpaWtvPxyGuGwn699rZ1DhzTOnFF49dVkbFshK8tG14XL4MmTKvn5FllZNps2+cjPF3bcQ4Y4\nVFeLfpaRIw2OH/dx8KBGfb0IgrOyNBQFPvtMpaJCNBMqCuTlWdTVifdNnWpSVGRimgrn+owlkn5D\n3o5JJBKJRCK5IGxb8YxH8vIs/vCHJNLTHYYOFbbamuZw3XUm2dk2RUUmc+dGyMoSu4nz5hk4DlRW\n6lRXa2gaDB9u8+KL6dTUaJw4oWKaQjXjxAmVoUNthg1zJedg4kSLwkILn0/UP+s6VFXpMussGRD6\nRY5OIpFIJBLJ54+UFIvHHz+DZSkkJdk88kgL9fV+Ghs1tmzxoSjwta+18+GHPjZs8KMosHu3j6oq\nnaIi07PLvuWWCA0NKrt2ic+MHy/qoU+dEoYpBQUiO71rl05xcYTf/z4Zy4Jly1qxbYXdu5MYNcpG\n16G4OERVVfolPjOSKxUZOEskEolEIrkgKipSaG5WWbw4yPbtfkxTZKF9PoeTJ1Xq6lRUFb70pQh1\ndUJ3ecgQB00TDX2NjSpDhzpe1rqgwOL0aQMQpRiWBUVFJrYNW7b4MQwxtmkqrFsXYOhQ2zNX0TSn\nW6daiaSvyMBZIpFIJBJJnzAMlZUrM2hvV5g+3eDNNwNYFtTXa+TnW9x0U4T/+39TGDPG4vrrDfx+\nh9xcEcxOmhT26pnHjxflHXl5NosXB2lp0Tl5UqWw0ELTRMPf4cMap08L45MxYyzmzo3w8stpRCIK\nmZk2eXkWui4cA2XALBkoZOAskUgkEonkglAUoXpRX68yerRQvFAUaG1VWLQozKhRNv/5nykAzJ8f\noaZGw7ahrk4jL89i6FCH6dNNTpxQ2bs3ia1bRcPg1q0+bBumTjWprtaYPTsCiIx2VZUIYdwsteOI\n2miJZCCRgbNEIpFIJJI+4fPZPPBAG21tOq2tQjvZtmHMGIvNm/0cOKDR1KSSk2OjKA6OozB2rMXp\n0wr79iVx//0hdu7U+eMf/V7wnZNjYVl+hgyxcRw4dEg0CI4YYbN/v87hw0LXecgQh1mzhFRdTo7F\nmTN+qqp0Fiy4xCdFckUjA2eJRCKRSCR9oqXFx8qV6SgKTJ9uUFkpHAFffz0ZyxKmKMeOqRw9qnHr\nrWEaGlRefz2ZSZOEZnNFhdCLmzPH4N13RfA8fLjOjTdG2LTJh67DjTdGOHhQqG189JGPefMivPee\n+FxhocWWLT4cx09JSStJSc6lPB2SzwEycJZIJBKJRNIvaBrk51uAD5/PYcgQh698JUwopNDQoHLy\npOrZaBcWWjQ0qNi2kJrz+Ryys20yMhyuvjrM5s0+LAtqazXq6lRmzjTOvW4zcqTmORKqKti2w9q1\nARobVaZPN1mw4Kysc5YMCDJwlkgkEolE0icyMgweeaSVhgYfhw5pPPhgG2vWpJGTYzNhgoXjiMA3\nJ0dYcH/2mXAYVBRR03zvve1s3Ohn82Y/c+eKTHJdnUZLi0JurtBrrqzUyc+3eeutJCxLZKcLCy3q\n61WOHNG4//4QBw5obNrkR9McmppUaX4iGTBk4CyRSCQSiaTPpKaPw3YAAAAYC0lEQVRanD4tDE8O\nHfIzZozN2LEiaN682Y/P5zBtWjt/+pMoxcjPt1AUYWZy4oTK8OE2CxZECIXAtkW0a1nQ1KRiWVBc\nbFBQYPHaa8koCqSmOqSkOMyYYWJZsGOHzuzZ7UyZEmb79mSqqnSvYVAi6W+kpY5EIpFIJJI+Y5oK\n1dUa1dUa69YlYdtQUeGjpkZD0xwsC44dU9E0vExxXZ3KhAkWf/yjH8eB115LpqLCT3GxwbRpBidP\nqtx+e5jGRpXNm/3oOnz96+2MGWOzYYOf5maV5maVvXuFbN0rr6SxfXsyzc0qJSWtskxDMmDIwFki\nkUgkEkmf0XVhZBLL0aMaX/pShDvuCLNhg5+GBvWcYoaCZYm6ZoDrrjOZNMmksVHlqqssNA1GjbLx\n+4WFtqY5nD6t8Ne/6tTViZroAwc0xo61ME2FESNsrrnGZNcunYMHNSoqUqTVtmTAkKUaEolEIpFI\n+ozPZ3PXXa2EQho1NX7S020iEYVQSOHsWYWUFIecHBvbhqYmjXnzIgAEAg7FxQavvCL0ne+5J8R/\n/mcypinUOCoq/GRn24waZVNeLjLZc+caHDig0dgoMtbTpxtMnWry5z/7sSzhJtjcLINmycAhA2eJ\nRCKRSCQXhM9n4/PZFBbCiy8KN79rrzXYuVMnN9emsVHFtmHiRCEfByIIdrWfQWSoHQdUVaSiFUU8\nN2qUzejRNg0NKjU1Qknj3nvbqa3V2LNH5/hxYec9fbqBqsL8+UFZqiEZMGTgLJFIJBKJ5IIJhTR2\n707CMPDKMEA81jTxf/exbYuM88GDGtOmCZWMDz7wMXq0jf7/t3enwVWV9wPHv+duuTcrJjcLWSAh\nYU8CCZKRAsHIMgaNfykwbemMOmWsf0WZYVp80WnftDNOfVF80TLjXx1FFqvSDkZKUKlIMICggjEV\nARO2bGQhbEnues75vzjkljWGkOQu/D4zzNx7zuXO85tzzu/87pPnPI+Fq0M04KmnXGzebEfXobDQ\nmMZu1Cgdj8d4SDA93VgkpaXFdHUoiBTMYnhJ4Rxh+sZ1ya9tIYQQI0lVjYcE09M10tKMcce6bhTJ\nKSkakyb5uXLFxOzZPrq7FTIzNVpaNDo7TRQU+Cks9FNVFQVATo5Ke7uxZLfPp6AoMH26H48H3nvP\nTnq6mfZ2Y9aNxx/38MEHUSiK0aMtM2qI4SQDgSKIz2filVcSeOWVBHkwQgghxIiKitLo6DBhsUB8\nvM7u3Tbi43UuXjSRkKDzzjsOjhyxMHGiSkGBn6oqGwkJOhYL7NljTFX34INe5s3zUlNjpbXVWDAl\nM9MYy/zNNxb27bORnq7hdGqo6n97rufONRZHmTbNLR1HYlhJj7MQQggh7prVqrFq1RX27nVw4YJC\nU5OZ5mYzv/61C4AfflBpajLz5pt28vP9geWyp00zhmDU1lpoaTGmrRs9WiMpSSM2VicvT2XfPit+\nv0JxsbGs97lzRi+1yQR//7sdTYOMDCmYxfCTbskIYrVqrFlziTVrLskvbiGEECPObNb55hsLo0bp\nZGcbwyY++sjGm2/aeeghLzabjt+v0NlpIjZWJyNDo67OQl2dhcJCP6pqDM2YOdPHkSNWduyIwuk0\nhn6YzcaS3H3/Jk/2M326sQiKqirMn+8lKkrufWJ4SeEcYfqebBZCCCFGmqoqFBT4qa620tJiYvly\nN2fPGrNlnD9v4rHHPGRmGj3P8fEaixZ50XVjEZW2NhM5OSqZmSoulzHbRmamisejcO6ciTlzfCQl\nGfc3RYGaGhtvvulg2jQ/RUU+4uL8cv8Tw04KZyGEEEIMCbNZp6vLKC18PoV9+2w88oiHFSvcnDtn\n4uBBYyq6oiIfXq/CpUsK06f7ycpSOXzYwtSpxvCLTz6x8YtfuGhtNbF9exQFBX6cTqMobmoy09ho\nJjlZw2QyxlDn5qrExKhBi1vcO2SMsxBCCCGGhMOhsmRJL+3tFk6csNDWZqKnR6G21kZzs4mMDI3C\nQj9Hj1o4dMiEokB+vp/4eJ3cXJWWFhNnz5qvfpfRg60oMG6cis2m89lnNsxmY6XCuDid6dONVQeb\nm2+xdKEQw0AKZyGEEEIMGU2DlhYz33xjITNT4/PPjQf7Zszwcf/9fpqaTJw5YyydvWyZmw8+iELX\noajIz7Rpfjo6jB7rtjYTZWVeoqN1tm2LwmyGhQu9OJ3GA4QNDear091Z+MlPZDYNMTJkqIYQQggh\nhozJZBS1mkZgyjibTUdRoLnZxLffWtB1BYtFx+1WSEvTSE83ppfr6DCRnGxMN5ecrFFdbaW21oKi\nGN/V9yBhdrbRO93X02y1Bjlocc+QHmchhBBCDBmHQ6W93URxsbEASkqKsWT2v/4VRVaWSlubibFj\nVbKzVWprLbS2mgKLlyiK8RChrsPp02Y0TaGx0cyyZW7Onzfx2Wc2iop8fPmlFU1TsFp1Zs1yEx/v\nC3bY4h4hPc5CCCGEGDJWq8Yzz3STna3y7bcWurpM9PYqmM06584ZM2s4nVpg0RPz1eHJY8eqdHcr\nV4d6GOXJjBk+Vq50cfCglYsXFe6/3yiQNQ3GjFFZtsyNzRasSMW9SHqchRBCCDGkYmJUkpIspKZq\nnD5tprnZxC9/6WbPHhsHD1opK/OSna3S2WlizhwvBw7Y2L3beIBQVRUyM40ZMgoK/NTWWnA6jaW5\ny8q8bNliR1Hg4Ye93HefX3qbxYiSHmchhBBCDCmrVcNs9pOXp6IoOpoGXV0mxo0z5nB+5x07DQ1m\nrlxRqKmxcepU3/RyxpR2TqfGZ5/ZqKuzcPiwhSNHjGLb7wdNU1BVhdZWU6C3WoiRIj3OQgghhBhy\nNhs4nRpZWRozZ/r4xz/smEw6Y8eqnD5t5r77dDIzVerqjB7l2loLaWka06b5+fhjW+CBQDCKaavV\neDgwI8MYC60oyEqBYsRJj7MQQgghhlx8vI+UFB+6DtHROmazjq4r5OSojB1rrBB49qyZzk4TM2f6\n8fsVmpuNBwMXLfLyq1+5MJuhtNRHZqbG5s32wHebTFBS4sbhkEVPxMiSHmchhBBCDAu7XScvT2XT\nJgdZWSolJT5sNp2sLJXqahuNjcaiKE1NxvhlTYOqqiisVp3RozVaWkwsWmRs13UoKfHjckF1tdEj\nLcRIk8JZCCGEEMMiNtbPpEke9uyx0tRkIiXFjKpCba0xl/P06T7uu0/H4dD5979t+HyQmaly7pwJ\nTYPRozU++cSGpsGSJR5ee80BwFNPuYiOlmEaYuTJUA0hhBBCDBtFgZ/+1ENGhsbXX1tJTzcKXotF\np6vLRE2NsXqJ328MwViwwMvy5W7y8lTGjVOvTj2n4XIp6LrxnQ6HX4ZpiKCQHmchhBBCDJukJGOc\nc3t7FIqi09urMHasRlKSxuHDRhly6JBRUE+bZkw/19lpornZRHq6xsMPe/n4YxtNTTbKyrxMnuzB\n6ZQp6ERwSOEshBBCiGFls8HPfuamrs5Cfb2ZwtRzjHH/wIMzjaW4r1wxBizHderkKuDI0vGPVuju\nNtHckUta2miamsxMmKASEyNDNETwSOEshBACgHPnzrF27Vrq6uoYN24cL7/8MuPHjw92s0QEiI/3\n4fVCZqaJujoLhXnRTNj+fzg+/KDf/3dl8RL2PfgqyclGsWw2yxANEVwyxlkIIQQAf/jDH5g4cSKH\nDh2ivLycNWvWBLtJIoI4nT6ysrzMneuj9VIMDY89j97P53Wg95lnueiNJiFB57HHemWIhgg6KZyF\nEELQ3d3N/v37efrpp7HZbDz55JM0Nzdz4sSJYDdNRBCn08fkyR5MJoXPOgrpffTx236259El7DpX\nyPTpKnFxOgkJ0tMsgk8KZyGEEJw5cwabzUZ0dDQrVqygqamJMWPGcPLkyWA3TUQYp9NHSYmbaT+x\n0P7LVbfsddaB04+v4kxHDOnpGuPHe7BaZWyzCD4Z4yyEEAKXy0VMTAw9PT00NDRw+fJlYmJicLlc\nN302KSkpCC0cWlarMQVauMcSrnEkJcHx47188UMBzvIlxO3cdt3+7sVL2NtVQEWFj+RkK4mJ0UFq\n6eCE63G5UaTEAf+N5W5J4SyEEAKHw0FPTw9paWkcPHgQgJ6eHqKjby5Y/vSnPwVel5aWMm/evBFr\np4gcEyca55Y79Vlid26jbyFAHXA/+yxzxlgDnxFiMKqrq9m7dy8AZrOZ0tLSu/5OKZyFEEIwduxY\nPB4PbW1tpKam4vV6OXv2LDk5OTd99rnnnrvu/fnz50eqmUOmrwctHNt+rXCPw+kELTYXz2OPY786\nw4bnf5agTcnFaXdx/vzNf/EIB+F+XPqEexz5+fnk5+cDRiw1NTV3/Z0yxlkIIQSxsbHMmTOH1157\nDY/Hw4YNG8jIyGDChAnBbpqIcKrdjvu5/0Wnr7f5GVS7PdjNEuKWpMdZCCEEAH/84x9Zu3YtJSUl\n5Obm8sorrwS7SeIe4Rk/Ht+SJYHXQoQqKZyFEEIAkJaWxqZNm4LdDHEPUu12vKtWBV4LEaqkcBZC\nCCFE0JkKC40XPlnkRISuQY9x3rBhA/Pnz6e4uJiysjJeffXV6/Zv3LiR2bNnU1JSwrp16+66oUII\nIYSIXOb4eMzx8cFuhhD9GnTh/OCDD7Jt2zYOHz7Mli1b2Lx5M/v27QOgtraW9evXs3HjRrZv386O\nHTvYuXPnkDV6JH3//ffBbsKwkvjCWyTHF8mxidAQKedYpMQBEksoipQ4hsqgC+fs7Gzir/4y9Hq9\nAMTExADw0UcfsWjRInJzc0lNTWX58uVUVVUNQXNHXqSfMBJfeIvk+CI5NhEaIuUci5Q4QGIJRZES\nx1C5q+notm/fTlFREeXl5TzzzDNMnz4dgNOnT5OTk8Pbb7/Nyy+/TF5eHqdOnRqSBgshhBBCCBEM\nd/VwYEVFBRUVFXz11VesXr2amTNnMmnSJFwuF9HR0dTX19PS0kJpaSm9vb23/Z5QXcrRarXy0EMP\nMWrUqGA3ZVhIfOEtkuOL5NiEEEKEr34L57/+9a+sX7/+pu0LFizgb3/7W+D9/fffz8KFC6msrGTS\npEk4HA56e3v5/e9/D8CuXbtuuWxrn6FYyUUIIcTIiJQ/3aakpERELJESB0gsoShS4hgq/RbOL7zw\nAi+88MKAvkjX9cDr7OxsTp48GXhfX1/PuHHjbvn/srKyBvT9Qgghgk9ythDiXjboMc4bN26kra0N\nXdc5cuQIVVVVlJaWAlBeXs6uXbuor6+nra2Nf/7zn5SXlw9Zo4UQQgghhBhpgx7jfPz4cd544w2u\nXLlCSkoKL774IrNmzQKgsLCQVatW8cQTT+D3+/n5z38uhbMQQgghhAhryvHjx/Uf/5gQQgghhBD3\ntruajk4IIYQQQoh7hRTOQgghhBBCDMBdzeMcqT7//HO++uoruru7GTVqFAsWLGDy5MmB/QcOHKC6\nuhpVVZk5cyaLFi0KYmvvXEdHB1VVVTQ2NmK32/ntb3973f5wjw/g0qVLbN26lebmZpKTk1m6dCmp\nqanBbtagfP/99+zdu5fW1lYKCgpYunQpAKqqUllZyXfffYfdbqe8vJz8/Pwgt/bOqarKtm3baGho\nwOfzMXr0aCoqKkhJSYmYGMNNfzni5MmTvPXWW1it1sC2Z599luTk5MD+Dz/8kMuXL5Obm8vSpUux\n2+0jHkOfu8l3oRbLtT799FOqq6uxWIzbeExMDL/5zW8C+8Mtj4dzzn7jjTdoamrCZDL6IqdMmcKy\nZcvCIn8N9v4SaufX7eIYjutECudbMJlMrFixgtTUVM6ePcvbb7/NqlWrSExMpLGxkd27d/P0009j\nt9t5/fXXSU9PD7mLoT9ms5nCwkKmTp3Knj17rtsXCfEBVFZWkpaWxlNPPcWBAwd47733WL16dbCb\nNSh2u525c+fS0NAQWN4eYP/+/bS3t7N27VpaW1vZtGkTWVlZJCQkBLG1d07XdZKSkli0aBHx8fHs\n37+fLVu2sGbNmoiJMdz0lyMA4uLiePHFF2/a7vV6effdd3n00UeZPHkyW7duZdeuXVRUVIxAq29t\nsPkuFGO5lqIoFBYWsmzZspv2hWMeD+ecrSgKFRUVzJgx47rt4ZC/BnN/CcXz63ZxDMd1IkM1bmH2\n7NmBX7pjxowhMTGR1tZWAL777jumTp1KSkoK8fHxzJgxg2+//TaYzb1ji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pU6dw3333Wa999NFH1ntPnTqFOXPmjO7AibQkNtmY53D4/WLK5opUwQMq8QIK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eoSTFPCiRM0eF1V5UJTk4zsbCOqjt0MxO648Ya8ulrFkiUhjB1rYscO2rlcsICGAwGqybyB5lZ2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\ntllElCTOQgghAPD7/dx666189tlnDBgwgJdeeonBgwdHelgiBpx3nsmAA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"text": [ - "" + "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ - "Difference in mean x=-0.037, y=42.097\n" + "Difference in mean x=-0.091, y=44.968\n" ] } ], @@ -536,9 +536,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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iTUPqMCKuNXY7PPtuEna7S56XTEScgIq0iLidsjI7z7y7AYAH+rUhNNDf4ETi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\nJhOxoYHE3hvIk3eN4S+p59j08Rm+PFvExr2n2bj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1T8JCLAYnkqbmz3+8lOAAXzbvPMDn3514Bl4RkTOhIi0ibueD9b+wLbuQ0Fb+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\nLw9XkhIiSUqIJONSERs/z2DLV2e5mFfOe5+l8d5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6zs1TCq1OB02Jiyf6ZGlkZAQGZyWLi4KYi62IpNXwer2io+QlFtYVGBsbg8Gp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\n3N7eZrlcpmmatNvttNvtrK6uZjAY5OHDh8KUL9p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DkrgrxApwhHUFZmdnEU6qYS4sEh1lXYTD4YfKKgAEgwF0dnYqZqRVpVLB4Kzg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\nMrcY8CM63ou3Xn+V2yGuI63oAEpSVFS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yIpq1cgbBgoLLRwGdSY+ECevNcj7PReO7JkmeMIkSsjL3sDUKpoFXAVdk0Sj0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\nAACAwCP0AgAAIPAIvQAAAAg8Qi8AAAACj9ALAAC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SJqw3yvk8F43vmiR5wiRKyMq8hq1RMA28Crgii0ahV0SA6Szv/tGYTthhvcRL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\nFQI7oD9Sb68sl8tHEXFkc7p+ijt2mlq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zmTp1aolp4i61r6oo6x1pFdIVXFV8ApTL07i4cf5eRD8Q2oJZT3Qvt4uNlPdx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\npAAAAABJRU5ErkJggg==\n", 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LTBN3qXVyaXqWEhGxwZ9L9LDwlsx8rJduNlIBnYMasOKlAQx7fS0b955SmRa5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\nidA3u6tEi4g8Av3b1mHhyA7YWlvxxY/hjPl8J7d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WJCIiIu5Va7PzxD9Xs3itFYBpdyTxzH198fH2cnNlIp7rum5fe3t706lTp/qq\nRURERNysqsbGI3/5nFXbDxLo78Mr0wZx243R7i5LxONdc+iuqqrCbDbXZy0iIiLSgAzDYNX2gxSU\nnKaiqpY9B8pYn3OU8qpaQi3+LHzqdnrHtXF3mSJNglOhe926dQQEBNCnTx9sNhvz58+nqKiIkJAQ\nJk6cSEREhKvrFBERkXp0rraOp97Icgwh+U/xHVrx2vTBdGnf0g2ViTRNToXuzZs3c9dddwGwe/du\niouLue+++9i5cycrVqxgypQprqxRRERE6lHu4RM8/cZatuaVYvb3YXxaF0KDAohqbWFAQjvahVu+\n+yQiclWcCt2nT5+mVatWABw4cIDevXvTo0cPIiIi+Mc//uHSAkVERKR+bMsr5cUPt5G1+wgAbVsF\nMe+J20iMDnNzZSJNn1Oh22w2U1ZWRmhoKIWFhQwfPhw4vw288X8L5IuIiEjjdLa6lhc+2MpbK3dj\nGGD292HcrZ15/J7etAnV8n8iDcGp0J2YmMi7775LixYtqKioIDY2FoAjR44QFqZ3xyIiIo3NsVOV\n/CN9F+v3HiXnwAlq6+x4e5l45I4kfnxHEi0tAe4uUaRZcSp033777YSGhnLy5El69eqFv78/AJWV\nlfTr18+lBYqIiIhzDMMgv/g0H6zJ482Vu6k6ZwPAZIIbO0fwP1NuITE63M1VijRPToVub29v+vfv\nf1H7LbfcUu8FiYiIyNU5eOwM72fl8fEGK4UlZxztt/XpyEPDE+jVqTXBgX5urFBEtLe7iIiIh9q0\n9wi/nf8Vn+845GgLtfgzuGcUk4d158bOWtJXpLFwOnRv376dTZs2UVZWBkBYWBj9+vUjOTnZZcWJ\niIjIxTbtK+bV5Zl8/nURAAG+3oxMieG+1C7cHN9W27WLNEJOhe6srCy++OILkpKS6NmzJwDFxcUs\nXbqU06dPM3DgQFfWKCIiIpxf8u93721hw95iAIID/Zg8tDs/GpFIWAvtEi3SmDkVujdt2sRdd911\n0V3tmJgYVq1apdAtIiLiQjsLj/PXpdmkbykEoEWgH4/e05dH774Ro6bSzdWJiDOcCt1nz56lQ4cO\nF7VHRUVRUVFR70WJiIg0d4ZhkL6liNc+zWZHwXEAAvy8eXhED348KolOHW4AoKxMoVvEEzgVusPC\nwvj6668ZNmzYBe1ff/211ukWERGpZ3lHTjJz/nrW7jkKQGiQP/fe2plHRiXRtlWQm6sTkWvhVOge\nOnQo774VmvOVAAAgAElEQVT7Lnv27CEyMhLDMCgtLeXEiROMHz/e1TWKiIg0G+9n7ecXb62luraO\nUIs/T43tw/0Du2L204JjIp7MqZ/g+Ph4HnvsMbZu3epYvaRbt27ceOONhIdrkX0REZHrVVVj47eL\nNrJg1V4Axt3amVkP3ESrYO0cKdIUOP22OTw8nNtvv92VtYiIiDRLu4u+4Sevfcn+I6fw9/VmzuRb\nmDCom7vLEpF65HTottvtWK1Wx53uVq1a0blzZ7y8tBaoiIjItTAMg399toffLNqIrc4gtm0Ir0wf\nRFJMa3eXJiL1zKnQXVJSwqJFizh16hRm8/l1QKuqqggNDWXChAm0bdvWpUWKiIg0Bedq6/gq+xAl\npyrp0DqY5ZsLeferXACmDOvOzO/1w+yvsdsiTZFTP9kff/wxbdu25Uc/+hHBwcEAlJeX8+mnn7J0\n6VIeeeQRlxYpIiLiyc5W1/L7D7by4Zo8Tp09d8GxAD9vXno4lbtviXNTdSLSEJy+0z127FhH4AYI\nDg5m6NChvPbaay4rTkRExNPtO3SCqX/5HOvRUwB079CKpJhwDh4vx8tkYub3+tEjRosSiDR1ToXu\nyMhISktLad36wjFmx44do02bNi4pTERExFNVVteSuf0gGVuL+GzbAapr6+javiV/eiRN47VFmimn\nQndsbCwfffQRBQUFREREAFBaWsrOnTvp168f27dvdzz2v7eKFxERaS72Hz7JvMwclqzLo7yq1tF+\nX2oX/mfyLQQG+LqxOhFxJ6dCd1ZWFgBbtmy57LFvKXSLiEhzs7PwOH/+eDsZWw842nrHtWH0TZ24\nvU9HOrRp4cbqRKQxcCp0z549u14u9uSTT7Jx40aqqqpo164dP/3pTxkyZAi1tbU899xzZGRkEBIS\nwtNPP82IESMcz1uwYAGvv/46tbW1jB8/nhkzZtRLPSIiItfj9Nlz/O69Lbz9xV4MA/x9vbkvtQuT\nh3YnvkMrd5cnIo1Ig65L9MMf/pC5c+fi5+fHunXrmDp1Kps3b2bRokVYrVaysrLIyclh6tSpJCcn\nExkZSXZ2Nq+++irvvPMOFouFCRMmEB8ff0EoFxERaSh1djvrcopZubWITzcVUHamGh9vE98fnsiP\n70iiTWigu0sUkUaoQUN3t27nd9cyDIPa2lqCgoIwmUxkZGQwZcoULBYLKSkpJCcnk5mZycSJE8nI\nyGD48OHExsYCMG7cONLT0xW6RUSkQRmGQcbWIv7w4TZyD590tPftEsELPxhA1/a6sy0il9fgK/D/\n+te/ZvHixQQEBPD6669jNpspKioiJiaGJ598ksGDBxMbG0thYSEARUVF9O3bl/nz51NSUkKfPn1Y\ntmzZZc8fFhbWUC9F6omv7/mJReo7z6T+81zqO+cZhsGk5z/hg9V7AWjfugUThiQw+ubO3NilLSaT\nqcFrUv95NvWf5/q2766WW0L3zJkzee+993jqqadIT0+nqqqKwMBA8vLySExMJCgoiJKSEgDHMavV\nytGjR0lNTaWysvKy5//P8eepqamkpaW5/DWJiEjT9trSbXywei/BgX78dkoa37+9J/5+2jlSpLlY\nvXq1Y/EQb29vUlNTr/ocbvmN4ePjwwMPPMDbb7/Nhg0bMJvNVFVVsXTpUgDmzJlDUFAQAGazmcrK\nSmbOnAlAZmYmgYGXHy83bdq0C74vKytz0auQ+vLtu3z1lWdS/3ku9Z1zdhV+wy/e+AKAlx5OZVRK\nNBXlp6lwc13qP8+m/vMsiYmJJCYmAuf7bu3atVd9Dq/6LupqGIaBYRhER0eTn5/vaM/PzycmJgaA\n6OhoCgoKHMesViudOnVq8FpFRKT5sR49xcN/zqTGZmfS0HhGpcS4uyQR8VANFrq/+eYbPvjgAyoq\nKrDZbPz73//mxIkTJCcnM2LECBYuXEh5eTmbNm1ix44dDBs2DIARI0aQmZmJ1WqltLSUxYsXaxKl\niIi43Bc7DnHHrI85dLyCXp1a89wDN7m7JBHxYA02vMTLy4tly5bx0ksvUVtbS1xcHK+99hqhoaFM\nmTKFgoIC0tLSCAkJYe7cuY6dL5OSkpg+fTqTJk3CZrMxfvx4hW4REXGpL3YcYvKLK7EbBiP7xvDn\nR9II0BhuEbkOptzcXMPdRdSXQ4cOER8f7+4y5CppXJtnU/95rubcd2cqayivqsFWZ+fAsXK+ziul\noqqWiUPjqbMbjPrVx5yprOGRUUn8cnwKXl4NvzrJd2nO/dcUqP8817djuqOioq7qeVd82757927H\noPFLqampITMzk1GjRl3VRUVERBra19ZjzP33ZnIPn+REefUlH/NGxm7CWgRwprKGETdGN9rALSKe\n54qh+/3332f37t3ceeedF60Ysm/fPj799FMAhW4REWnU3v5iL7+av54amx2AAD9vWloC8PX2IqyF\nmd6d23CyvJqP1lspOVlJl3ah/OmRNAVuEak3Vwzd06ZN45NPPuEvf/kLo0ePJiEhgYqKCpYtW8a+\nffvo378/AwcObKBSRURErk55ZQ2/WrCeD9bkAfDQ8O5MH92LyJaBl9zQZurIHizbXMjEwfFYzH4N\nXa6INGFXDN2RkZE8/PDDbNmyhY8//pitW7dy+PBhOnTowE9+8hPtoiQiIo3O5twS9h85ybmaOt7I\n2M3B4+UE+Hrzu+8P4L7ULld8bmJ0OInR4Q1UqYg0J985FdtkMtG9e3dyc3PZv38//v7+9OvXT4Fb\nREQandzDJxg7exl24//XCEiMDuOVaYPo3K6lGysTkebuiqHbMAw2b95MZmYmkZGRPProo+zcuZNF\nixbRo0cPRo4cecXdIUVERBrSX5fuwG4Y9OnchoSOYcREhjBlWHf8fLzdXZqINHNXDN1///vfKSsr\nY/jw4aSkpAAwbNgwEhISWLJkCX/+858ZNWoUSUlJDVKsiIjI5RSUnGbphgJ8vE387dEhtAu3uLsk\nERGHK4bu4OBgHnjgAVq0aHFB+w033MCPf/xjvvzySxYvXqzQLSIiDe7w8XJW7zqC9egpUnu0Y+mG\nfOyGwf23dlXgFpFG54qh+8EHH7zsMW9vb4YOHUpCQkK9FyUiInI5hmHw+OurHSuSAPxjxS4AvEwm\npo/u6a7SREQu67r3tG3btm191CEiIuKUvy3byQdr8gjw82ZwzyhiIkNYvrmQotIz3J/WhZjIEHeX\nKCJykesO3SIiIg1l7Z4j/O69LQD87dEhDO/TEYBf3N+XwtIzRIUHu7M8EZHLUugWEZFG72RFNa+n\n7+LNjN3YDYOf3NXLEbjh/PK2nXSHW0QaMYVuERFplPYfPsmcdzdhPXqKI2UV2OrOr719982xPHVv\nHzdXJyJydRS6RUTEbbILjjN/VQ4Bvj70T7iBAQk3EBLkz+mz55j84koOHi93PDatRztmjO3DjZ0j\n3FixiMi1UegWEZEGd/x0JU/8I4vPdxxytM1flUOw2Zef39eXdTnFHDxeTmJ0GK9OH0y7cAtmP/3J\nEhHPpd9gIiLSoOrsdqa98gXrc4ox+/sweWh3LGZfvsw+xLa8Y/xy/noALAG+/P0nQ7QaiYg0CQrd\nIiLictU1NursBkEBvvxt2U7W5xQT3sLMijl3c0PY+Y1sfnZ3Miu2FvGr+RsoPXWWl36UqsAtIk2G\nQreIiNQ7u91g475iPt6Qz7b9peQdPYVhQM9O4ewq+gaAl6emOgI3nF+BZGTfGAYlRfHNmSqiWmv5\nPxFpOpwK3du3bycxMRFfX98L2u12O9nZ2SQnJ7ukOBER8Sz7D59k8TorH62zcqSswtHuZTLh5QXb\n848D8IPbExnSq8Mlz2H291HgFpEmx6nQvWTJEjp37nxR6K6rq2PJkiUK3SIizViNrY70zYX867Mc\ntuaVOtrbhVkYMyCOYckd6N4hDLtx/u53yYlKxqV2dmPFIiIN77qGl9TU1ODt7V1ftYiIiAcpPnGW\nt7/Yy6Iv9nH8dBUAwWZfRvfrxNgBnUnpGomXl+mC51zu7raISFN3xdC9fft2DOP8ZgS7du0iICDA\nccxut7Nv3z7Cw8NdW6GIiDQahmGwcV8Jb63cw8ptRdTZz/+N6Na+JVOGJzCmfxxBAb7fcRYRkebn\niqF7yZIljq/T09MvOObl5UV4eDijRo1yTWUiItKobMsr5XfvbWHD3mIAvL1M3NEvhoeGJdCvWyQm\nk+k7ziAi0nxdMXTPnj0bwzCYNWsWzzzzDBaL5UoPFxGRJubAsTMs3ZDP8s2F7C4qAyAk0I+Hbkvg\nwcHxtG0V5OYKRUQ8w3eO6dadCxGR5qXqnI30LYX8e3Uu63OKHe3BZl+mDE/gx6OSCAnyd2OFIiKe\nx6mJlLNnz3Z1HSIi4kaGYbCj4Dj//iqXpRvyKa+qBSDAz5uRfWO486ZOpPZoj7+vJs+LiFwLp1cv\nMQyDI0eOcOLECbp27Yq/vz+1tbV4e3vj5eXlyhpFRMRFDMNg5dYifv/BVvYdPulo7x3XhvFpXRl9\nUydaBPq5sUIRkabBqdB95swZ3n77bYqLz3/M+Pjjj+Pv78/ixYsJDg7WZEoREQ+0s6CU5+ZlsWJz\nPgDhLczce2tn7k/tQpf2Ld1cnYhI0+JU6F62bBmhoaFMnDiRP/7xj472Xr16sWLFCoVuEREPcaK8\nmo/XW3kva79jYmSw2Zenx93IxCHd8fXRJ5ciIq7gVOguKiri4YcfJjj4wm15W7duzenTp11SmIiI\n1J/84lP8ccnXLN9cSI3NDkBLSwDjB3fnR7fF0yY00M0Viog0bU6FbsMwsNvtF7VXVFTg56exfiIi\njdXh4+W8tmwni77ci63OwGSCgUntuT+tC98b1psAPx/KysrcXaaISJPnVOiOjY3lyy+/ZNy4cY62\nyspKMjMz6dy5s8uKExGRq2cYBlv3l/LPjN2s2FKE3TDwMpmYMLArP7unN+3Cz++5EODn9Fx6ERG5\nTk79xh05ciRvvvkmzz//PDabjbfffptTp05hsVi47777XF2jiIg4ocZWx/JNhfwzYxfZBd8A4ONt\n4u6b4pg+uifdolq5uUIRkebLqdDdokULpk+fzs6dOzl69CgAN9xwA0lJSRpeIiLiZkfLKng/az8L\nP99LyclKAFpa/Jk4JJ7Jw7oT2VK7RoqIuJvTny36+flx4403urIWERFxUnWNjc++PsB7q/ezetdh\nDON8e9f2Lfnh7Ync0z8Os4aPiIg0Gk79Ri4sLLz8CXx8aNmyJRaLpd6KEhGRixmGwe6iMt7LyuWj\ndfmcOnsOAD8fL26/MZrvDerGrQk3YDKZ3FypiIj8N6dC91tvvfWdj4mLi+Pee+8lKEgfY4qI1KcT\n5dUsWWflvdW55Bw84WjvER3O/WlduPuWWFpaAtxYoYiIfBenQvfo0aPZuHEjAwcOJCIiAoCSkhLW\nrFlDv379CAsLIzMzk/T09AtWOBERkWuXteswb3+xj8+2HaC27tu1tf0Z0z+O+1K7khgd5uYKRUTE\nWU6F7jVr1nD//ffTvn17R1tERARhYWG8//77zJgxgzvuuIOFCxe6rFARkeaixlbHcws3sGDVXgC8\nTCYG94ri/tQuDOvdEX9fbzdXKCIiV8up0F1RUXHJzXHq6uooLy8HwN/fn3PnztVvdSIizUhFVQ3r\n9xbz2qfZbNlfip+PF4/dlcz4gV1p20pD90REPJlTobtLly4sXryYIUOGEBkZCUBxcTGff/45Xbp0\nAeDgwYOEhemjThGRa7Hw873MnL8OW935ZUgiWwbxxuNDSY5t4+bKRESkPjgVuu+++26WL1/O4sWL\nHXe8vby8SEpKYuTIkQCEh4dz5513uq5SEZEm6mRFNbPf2YStzqBP5zakJrZnyrDuhIeY3V2aiIjU\nE6dCt9ls5t577+WOO+7g5MmTALRs2ZKAgP+fLd+hQwfXVCgi0sTN+yyHs9W1pCa2491fjHR3OSIi\n4gJOhe79+/fj7+9Px44dadu2ratrEhFpNs5W1/LGyt0APHZ3spurERERV3EqdC9ZsoSxY8e6uhYR\nkWbBMAy2WY9x7FQlG3KKOVVxjr5dIripW6S7SxMRERdxKnSfO3euXiZJ2mw2nn32WdavX091dTXd\nu3dn1qxZxMXFUVtby3PPPUdGRgYhISE8/fTTjBgxwvHcBQsW8Prrr1NbW8v48eOZMWPGddcjItLQ\nNueW8Px7W9iUW3JB+2N3JWsnSRGRJsyp0B0VFcWBAwdo1arVdV3MbrfTsWNHnnjiCSIiIpg3bx7T\np09n5cqVzJs3D6vVSlZWFjk5OUydOpXk5GQiIyPJzs7m1Vdf5Z133sFisTBhwgTi4+MvCOUiIo3d\nknVWfvLalwCEWvy5qVskdXaDblGtGNSz/Xc8W0REPJlToXvgwIGkp6dz7tw5OnbsiNl84Yz60NBQ\npy7m5+fH9OnTHd+PGTOG559/nhMnTpCRkcGUKVOwWCykpKSQnJxMZmYmEydOJCMjg+HDhxMbGwvA\nuHHjSE9PV+gWkUahoOQ01iOnOHi8nG/OVHGq4hxxN4QyPq0LFrMfACUnzzJz3joApo7sweP39CY4\n0M+dZYuISANyKnT/61//AmD58uWXPD579uxruvj27duJiIigZcuWFBUVERMTw5NPPsngwYOJjY2l\nsLAQgKKiIvr27cv8+fMpKSmhT58+LFu27JquKSJSn/700df84cNtlzz2xyVf8+CQeMb2j2Pue5s5\nXVnD4J5R/GpCPw0lERFpZpwK3Q899FC9X7i8vJy5c+fy85//HJPJRFVVFYGBgeTl5ZGYmEhQUBAl\nJefHPH57zGq1cvToUVJTU6msrLzkebVBj+fx9fUF1Heeqjn339bcYl5a8jUmEwztHUNM21AiWgYR\nbPbjo7X72ZBzmFc+2cErn+wAoEWgP/94cjTh4S3cXPl5zbnvmgL1n2dT/3mub/vuajkVujt16nRN\nJ7+cmpoapk+fzqhRoxxDRMxmM1VVVSxduhSAOXPmEBQU5DhWWVnJzJkzAcjMzCQwMPCS5/7Pu+6p\nqamkpaXVa+0iIgDVNTYefmk5drvBT8f05YUfDbng+GNjUli3+xALPtvF0vW5nKo4x0s/Hkr71o0j\ncIuIiPNWr15NVlYWAN7e3qSmpl71OZwK3fWprq6OGTNmEB0dzWOPPeZoj46OJj8/n4SEBADy8/MZ\nMmSI41hBQYHjsVar9bJvBKZNm3bB92VlZfX9EqSeffsuX33lmZpj/xmGwcz569l78Bs6tQ3hJ6MT\nL/n6u7UNZO7kfvz6gRs5fqqKduGWRvXv1Bz7rilR/3k29Z9nSUxMJDExETjfd2vXrr3qc3jVd1Hf\nZdasWXh5efHrX//6gvYRI0awcOFCysvL2bRpEzt27GDYsGGOY5mZmVitVkpLS1m8eLEmUYqIW9jt\nBr+ct555mTn4eJv449Q0zH5Xvn/h5+NNu3BLA1UoIiKNkVN3uqurq/nkk0/Izc2ltrYWwzAuOO7s\nRMojR46wePFizGYzffr0cbS/8cYbTJkyhYKCAtLS0ggJCWHu3LlEREQAkJSUxPTp05k0aRI2m43x\n48crdIuIW/z8rbUs+nIf/r7e/P2xIdzYOcLdJYmIiAcw5ebmGt/1oI8++oiDBw+SkpLCypUrSUtL\n4/Tp0+Tk5DBw4EBuueWWhqj1Ox06dIj4+Hh3lyFXSR+xebbm1H/Wo6dIe+oDAny9mffkbdya2M7d\nJV2X5tR3TZH6z7Op/zzXt8NLoqKirup5Tg0v2bdvH/fccw8333wzXl5e9OzZk7vvvpshQ4Zw4MCB\naypYRMTTfLg2D4B7+sd5fOAWEZGG5dTwkpqaGoKDgwHw9/enpqYGgM6dO7Ny5UrXVSciUk/O1dbh\nZTLh6/P/9xpsdXY27Svhi+xDVJ6rJdjsh8XsS7DZj/AQMwMSbqClJQA4P5Z78f+F7nsHdHbLaxAR\nEc/lVOgODQ2lrKyMli1b0qpVK6xWK5GRkRw7dgw/P+2oJiKNy9nqWlZtP8jBY+WUnjrLrsIydhYe\nx8fbi5/encyEQd1YsCqHNzJ2c7Li3GXP4+1l4ub4tvxqQj9On63haNlZ2odbSOka2YCvRkREmgKn\nQneXLl3IyckhLi6O/v37895777Fz506OHz9O//79XV2jiIhTys5U8eePt/N+1n7Kq2ovOl5js/O7\n97bw/Ptb+HY+eKe2IdzepyPtwiyUV9VSUVVDeVUt1uJTbNxbzNo9Rxk7exldo1oCMHZAZ7y8tJuk\niIhcHadC93+uFNK9e3d++MMfcuDAAVq3bk3Xrl1dVpyIiLOKT5zlvrnLKSg+DUCfzm1I6RJJm5aB\nxLYNoU/nCHYWHGfm/PXkF5+mb5cInrr3Rvon3HDZc546e45f/msdH2/IZ1veMQDGDohrkNcjIiJN\nyzVtjhMVFXXVMzZFRFyloOQ0D76wggPHyuneoRV/nDqQxOiLt1ZO7dGez5+/l4PHz9ApMgST6cp3\nrEOD/PnrtEGEBPkzf1UOfbtEENs21FUvQ0REmjCnQndhYSEdOnTA29v7gnbDMCgqKiImJsYlxYmI\nXM6ZyhrSNxeyeF0eG/YWYxjQq1Nr3n7mdsfkx0vx9fG6quDs5WXif6bcwu19o+nSToFbRESujVNL\nBr711ltUVVVd1G6z2XjrrbfqvSgRkUupsdXx2bYDTP3LKnpNe5sn/pnF+pxi/Hy8GdM/jnd/MfKK\ngftamUwmUhPbEdkyqN7PLSIizcM1DS/5ls1mw8urwXeSF5FmxDAMtlmPsWStlU825jtWGzGZ4Jbu\nbRnbvzMjU2JoEaiVlEREpPG6YuguLCx0fH3w4EHMZrPje7vdzp49e2jZsqXrqhORZqv0ZCUfrNnP\nv1fnUlhyxtHerX1Lxg7ozF23xNIuzOLGCkVERJx3xdD9n0NH3n333YuO+/n5cc8999R/VSLSLNXZ\n7Xy+/RCLvtzHl9mHqLOfX9cvsmUg99wSx5gBcXTvcPEESRERkcbuiqF7xowZALz88ss88sgjBAYG\nOo55e3tjsVg0vERErlt1jY13v8rljYzdFJWev6vt421iZN9oxg/sSlqP9vh463eNiIh4riuG7v8c\nOhISEoLFoo9yRaT+GIbBiq1FzF60iYPHywHo0DqYycO6c++AzoSHmL/jDCIiIp7BqYmUM2bMuOAu\nt4jI9TjyTQVL1llZvDaPvKOnAOjaviVPjO3D7Td2xFufoImISBPjVOjWZEkRuV7llTUs31zIh2vz\n2Liv2LENe3gLM4+P6c2Dg7tpCImIiDRZ17VkoIjIdznyTQW/e28zK7YUUV1bB4C/rzfDe3dk7IA4\nBiZF4eujsC0iIk2bQreIuMzSDfn8/K21nKmsAeDm+LaMHRDHqJROWldbRESaFYVuEalXhSWnWbap\nkE83FbDnQBkAw3t35LeTbiaqdbCbqxMREXEPhW4RuW4VVTX8c8UuFq+1sqvoG0d7i0A/fnF/XyYO\nicdkMrmxQhEREfdS6BaRa1Z6spJ/rNzHKx9vpexMFQCWAF+G9+nI6H6dSO3RjgA//ZoRERHRX0MR\ncVphyWk255Zy4NgZdhYcZ/WuI9j/bxmSPp3b8MioJAb3jFLQFhER+S/6yygil2UYBnsOlJG+pYiM\nrUXkHj55wXEfbxOj+3XhkTt706O9RUNIRERELkOhW0Qucqayhne/2sf8zBwOHCt3tLcI9CO1Rzvi\nbgglOqIFg3tG0SWmPQBlZWXuKldERKTRU+gWEYei0jO8tXI3/169n7PVtQC0CTVzW59oRtwYzc3d\n2+Ln4+3mKkVERDyPQrdIM3fkmwqWbynks20HLtgp8pbubXn49h4MSY7StuwiIiLXSaFbpBmqs9v5\neH0+736Vy4a9xY52Px8v7ukfxw9uSyShY5gbKxQREWlaFLpFmhHDMNicW8KshRvYXXR+DHaArzdD\ne3dgZN8YBvWM0k6RIiIiLqDQLdIM5B4+wRsrdrN61xGOlFUA0LZVEI/f05s7b+pEsIK2iIiISyl0\nizRhdXY7ry/fxR8+3EqNzQ5AS4s/k4d1Z/odPQkM8HVzhSIiIs2DQrdIE1Vrs/P9P37GFzsOAfC9\ngV2ZPLQ7CR3D+N/27jygyjLv//j7LOwIKAiCgiCCiIC745KYoeZuatnUjOZUU001llP9alrmN202\n7c00TU5Nz6OWlamZVlZuKRa5L7kgsqiICiIgyg7nnOcPjEkFgwIOBz6vv/Sc+7754tUdn3Pxva/L\naNR62iIiIs1JobsFyz9fRml5FZ39PO1dijgYm83Gg/9JZMOe43Ro58rf77qaa/oE27ssERGRNkuh\nu4WyWK1MeXIVp/KLWTNvGt06edu7JHEAlVVWDmbm8eGmFJZtTsXNxcy7D42lT3hHe5cmIiLSpil0\nt1Bf780i41QhAE8v3sr/PjCm5r30U2e5/dW1WG0QFdyecQNCuW5od3uVKnaSf76M75JPsTM1h31H\nz3DiTBEn84qptFT3bpuMBub/MUGBW0REpAVQ6G6h3tuQXPPnNbuOsen7LEbEdeFUfjE3PfdFzQoU\naSfP8vm2IwyM7KQ2lDagymJl2eZUln+bytZD2VistsuOCQ3wYmBkANOvimB4TGc7VCkiIiKXUuhu\nZt8ln8LT1YnYML86jzmZV8T63cdxMhn53ZhevPXFPp5YlMSM+EiWbU7lRF4R/br78+TMIbywdAeb\n95/g42/T+OOUPs34nUhzKiwu5+u9x3nl412kX/gNiNlkYFivIAZFdqJPeEdCA7wI6uChFUlERERa\nIIXuZpS4L4ub/vYF7i5mNr14A0G+tc9Mf7gxBavNxoQBYTxy40DW7DpG+qlCnluyHYDIzj4seuha\n2nu6ctu1vdi8/wTLv0nl3sm9MRi0KkVrcjAzj4ff+YY96blYL+zPHhrgxZwpfbh2QCg+Hi52rlBE\nRETqQ6G7meQWljDnzY0AlJRX8dTircyfk1Dzvs1mY9O+LHan57JwXXVryW+uicLFycS/5ySwZNNh\nXIqzQA0AAB/TSURBVJxM+Hq5MiM+kvaergBcHReMr5crqSfPsu/oGeLC1L/bWpzKL2bmC1+SXVCC\nk8lI/3B/pg7rzs1XR+FkNtq7PBEREWkAhe5mYLXauO/NjeQWltKvuz/Jx/P5dGsGN++PIv5Cz+3a\nXZn87pU1NedEBPkwLDoIgJhQP2JCa29HcTIbmTI4nP9Zc4Blm1MVuluJ4rJKZr/8FdkFJQyO6sSi\nh8biobYRERERh6XpsiZms9n463vfsWnfCdp7uvDWfaO4/7q+ADy+4FsqL+wSuPdILgBDowN59c4R\nfPTYhHpvYHL98AgAlm1OZepTq+h3z2K+PXDyZ9VbXFZJTkHJzzpXGkdGdiEznv2c/UfzCA3w4u37\nRytwi4iIODiF7ib22ordvPPVAZzNRt78YwKBHTy4Y3wsXfw8ST9VyPcXwnb6yeqH426M78GM+Ej8\nfdzr/TXiwvyICPKhsKSCbSk55Jwt4X/XHGhwrTabjRnPfk6/exdz3ZOrWLY5FZvt8tUxpGnYbDYW\nbzjEmEc/Zk9GLkG+Hix66Fo6tHO1d2kiIiLyC6m9pAkt25zKS8t3YjQYeOPea2qWb3M2mxjUoxNZ\nZ9JIySqgf0QAaafOAhAe1PBNcAwGA6/fPZI1u47R1d+L++Zv5Ovvj1NaXoWbS/2HOCWrgD0Z1R8C\nth/OYfvhHCotFm66OqrBNTmakrJKPt2awdVxwQS0r/8HnsZyprCUh/6zmTW7jgEwdWg4z84ehrce\nlBQREWkVFLqbSEFRGX997zsAnp09lPEDwy56Pyq4PQCHsgqwWm0cya6e6Q4P9PlZXy82zK9mGcL/\nXXOAPRm5bN5/gjH9u9b7Gqu3HQGqA194kA8vLdvJPz7Zww3DIzGbWtcvRXILS8gpKKFXV1+KyyqZ\n9eJXbE3JJrijJ8ufmETnOlaWaSw2m42ConKSM/NZtSWdT7dkUFhSgZe7M/NmD2PqMG12JCIi0poo\ndDeRF5buoKConCE9A5mZ0POy93t06QDAoeP5nMwroqzCgr+PG17uzr/4a4/p35U9Gbl8ufNow0L3\njqMATBsWwYi4ziz/JpUj2ef4JCm9pm+8NcjILmTaU5+SW1hK3wu7Ne5Or57hP55bxK+fW83HT0yk\no3fjz3gfO32ON1btZdWWdM6XVl703lW9gnjljhHa5EhERKQVUuhuAvuOnOHd9cmYjAaeuWVorWtn\nR3WpnulOOV7w39aSnznLfamxA7rywtIdrNl5jCqLtV6z1EeyC0nOzKedmxPDegVhMhr54+Q+/Omt\nRF5ftYdpw7rX+8HOlqK80sLn246wbncmO1NziAvzY0Z8JI8tSCK3sBSjwVATtoN8PfjP/aN54O1E\nkjPz+c3zX/LJXyY12kYzpeVVPPvhVhatS67ZRbKdmxPBHdtxdVwXpg2LoGdIh0b5WiIiItLyKHQ3\ngScXb8Fmg1vH9iIquPYg1dnPEw9XJ86cK2VbSg4A4YEN7+euTWTn9oQGeHE05xxf7TyGxWqli187\n+nX3v+i4E2eKeHxhEsN6BVFWUQXA6H5dcXEyAdUz3i8v30XaybOs3n6Eib/q1ij1NYecghJue3VN\nTagGyDpTxOrtRwHoG+7PggfG8NnWDHaln+bB6f0J8ffiw0fGM+XJVRw4lsfctzYx/48JV9xwqKSs\nEhdnEyZj3R9sDh3P5+5/biAlqwCT0cANwyO4d3IfwgO9tZmRiIhIG6HQ3ci+Sz7Fd8mn8HZ35k/T\n+td5nMFgoEeX9uxKO13TSx0e1Dgz3QaDgbEDQpn/+ffc8fd1Na/PGtWTJ276Vc3s7aMLvmXd7kzW\n7DqG8UL4GzcwtOZ4J7ORuyfG8djCJBatT3aY0L3/aB6zX/6KU/nFdPHz5I5xsQyIDGD1tiMsWp9M\naIAX7/6/6h09Z4/pxWx61Zzr5+3GggfGMPEvK/ls6xFeC97N3Kn9Lrr+sdPneGv1PrYknyLlRAER\nQT6s+9v0WoP3ybwirntyFedLKwkP9OZf9yYQE+rb5P8GIiIi0rI069Nx69at48YbbyQ2NpY///nP\nNa9XVlby6KOP0q9fP0aOHMkXX3xx0XmLFi1i2LBhDBo0iFdeeaU5S26wV1fsAuD342J/sj+754VZ\n8NSTP7SXNM5MN8C0Yd0xmwy4OJkY0jMQJ5ORReuSufbxFRzOKmDtrmOs252Jp6sTHb3dsNpsuLmY\nGRkXfPF1rorA1cnEtwdOkpV7vtHq+7H31+/nkbc3cDAz7xdf63xJRU3gHhgZwOdPXcdtY2Po3a0j\nf/71IPb/eyafPTWlZkfP2kR0bs8b916DwQCvLN/FibwioLpF5OF3NhP/4EcsWHuQQ1kF2Gxw+MRZ\n9h2pvfZ5H27jfGklI2I78+UzUxW4RURE2qhmnen28vLi9ttvJykpibKysprXFyxYQFpaGomJiRw8\neJA777yTvn370qlTJ/bu3csbb7zB+++/j6enJzfffDM9e/Zk3LhxzVl6vWxPyebbAydp5+bErdf2\n+snje1zo6/5B90aa6Qbo1dWXXf/8De4uTri5mDlwLI85//qaQ1kFTPr/K/F0q/5A8OD1/Zl+VQT/\n/vx7orv6XrbEoJe7M2MHhPLJd+ks+yaV+y+Z9f2lPt2awV3/WA/Aa8u3MaRnIG/fP+qKofhKnluy\nnVP5xfTp1pElj06oaZX5wZXaQH5sVN8QJgwK47OtR/h0SwZ3TYjj5eU7eW/DIYyG6haR34yM4v2N\nKXyUeJhN+7LoE37xbqDbUrJZkZSOq5OJ528b3mj94SIiIuJ4mnWme9CgQYwePRpv74tndL/88ktm\nzpyJp6cngwYNom/fvqxdu7bmvTFjxhAeHk5AQAA33HADq1evbs6y6+21T3YDcNvYmHqtr9wj+L+h\n28XJRJdGXrXC18utJkT36urLp09OYeKvwigqqyS7oJgeXdoze3QvOrRz5c+/HsSUIeG1XueG+OqV\nS5Y28mY5u9NPc/+bGwEYM6Ab7dyc+C75FAvXHvxZ19uWks3CdQcxmwy8+PvhlwXuhrruwr/HiqQ0\nyiqq+HBTCgAf/nk8r911NQN7dGJ0vxAAEvdlXXSuxWrliUVJAPxhYm+CO7b7RbWIiIiIY7PL4suX\nBrejR48SFhbGgw8+yOrVqwkPD+fIkSMXvbdw4UKef/55unfvXvNeS/LtgZNs/D4LD1cnbh8bU69z\norr89yHL0ACves/C/lzurk7M/2MCD88YQI8u7Xnx9uE4mX/6aw6P6Uyn9u4czTnH9sM5v6gGi9XK\nyu/Suesf67lx3mrKKi38bmxvVj59A/+85xoAvriwdGFDpJ08y/3zNwJwz6Q+RIf88jaOkb2D8XJ3\nZv/RPF5dsZuConJiQ/0YGh1Yc8yw6CBMRgM7UnM4X1JR8/oHG1PYfzSPIF8P7pnU+xfXIiIiIo7N\nLg9SXrpiQ2lpKe7u7qSmphITE4OHhwfZ2dkXvZeWlsbJkyeJj4+npKSkzmv7+jZ/z6zVauO5j1YB\n8NCNQ+jetXO9zvP1hY7e7uQWlhAd6t9stT956yievHVUg8757eg4XvpoCyu2HGXc0J9unalN+skC\nbn/pC747+N9Z4clDI3hz7gSczCamxMfS7l9fs/9oHucqTYR1ql+7zZKvD3L337+guKyS3uH+PHVr\nAi7OjfOf9tSroli45nv+uWoPAH+YMhA/P7+a9319YWBUEFsOnmB/VhETh0RQcL6MF5ftBOCFO0fR\nJSigUWppqZycqttm7HHvyS+jsXNsGj/HpvFzXD+MXUPZJXRfOtPt5uZGaWkpK1euBOCZZ57Bw8Oj\n5r2SkhIef/xxANauXYu7e92bljz99NM1f46Pj2fEiBGNXf5llmw8yO60HDr7tWPO1IENOjc61I9N\nezOJ6NKy12ieNTqWl5duYfG6/dwzZQC9w/8bJCurLGzcm8nIPl3rXBM88ftMpv5lKcVllQR28ORP\nN/yKCYMj6Bbog5O5ug3E1dnM2IHhLN2UzKpvD3Pf9EE15ycfO8OJvPNc3fvir7E88RC3PF/9gWfG\n1dH8676xjRa4f7jmwjXfA+Dt4cKNIy/f6GhUvzC2HDzBul1HmDgkgmfe28yZwlKGxwYzfXhUo9Ui\nIiIi9rFp0yYSExMBMJlMxMfHN/gaLWKmOzQ0lPT0dHr1qp5BTU9PJyEhoea9jIyMmmPT0tLo1q3u\npevuvvvui/6el/fLV8S4krKKKh5/52sAHpjWj9Lic5QW1//84dGd2LQ3kwHdOjR5rb+Erzv8bnQv\n/mfNAe58+TNWPTm5ph3mzc/28swH27hnUm8e/fWgWs//2+LNFJdVMn5gKC/cPvzCg5IW8vLyaj7l\n5+XlkdA7iKWbklm26QC/vbq6p/pcSQVXz/2AwpIKAnzcmTEikrsmxHGuuJw/vFbd3//IjIHcO7k3\n5SXnKa/7FyENFhvsQUdvN3ILS5k+rDtlxecpu2R8B3av/sD0xdZUIgM9mf/pLowGA3+5eSD5+fmN\nV0wL9ePxE8eisXNsGj/HpvFzLDExMcTEVLcP+/r68s033zT4Gs3a0221WikvL8disWCxWKioqKCq\nqopx48bx7rvvcv78ebZu3cqePXsYPXo0AOPGjWPt2rWkpaWRk5PD8uXLW9TKJf/z1QFO5BXRM6QD\n1w/v3uDz7xgfy+43fsOwXkFNUF3jenjGAAI7eLAnI5cFa/77sOOGvccBWLj2IIXF5ZedV1JWybcH\nT2IwwLzfDbviyiTX9A7GxcnEjtQccgqq0/P7Xx+isKQCJ5ORnLMlvL5yD8P+tISZL37FuZIKxg0I\n5d7JvZtkoxmT0cjcaf3oGdKBO8bH1npMn24d8XZ35tjp8/zprUQsVhszE3o2Sl+5iIiItA7NGro/\n+eQTevfuzdtvv82qVauIi4tj/vz5zJ49m4iICEaMGMEjjzzCvHnzCAiobl+Ii4vjnnvuYdasWUya\nNInx48e3mNCdf76M1y/0+j5x069+1oOQJqMRf5+622VaEk83Z569ZSgALyzdQXFZJeWVFnalngag\nqKyS9zYkX3be5v0nKK+00KebPx29r/y9erg6ER/bGZsNVm1Jp7LKyjtf7QfgrftH8fETExnSM5Cz\nReWknTxLZ19PXrojvkl3drxlVDTrnpte5wokZpORWaOj8fFwYWRcF/7628H8debgJqtHREREHE+z\ntpdMmzaNadOm1frevHnzmDdvXq3vzZo1i1mzZjVlaT/Layt2Vbc+xHVhRFwXe5fTLK4dEEq/7v7s\nSjvNhr3H8fd2o6zSgpuLmdLyKt758gC3j429aLm+dbszARjVN7iuy15k6tDurN2VybwPt5GRXcjJ\nvGK6B/kwqk8IRqOBpY9N4IsdR/kkKZ05U/rgU4/lGZvaIzMG8siMhvXzi4iISNthlyUDW4OM7EIW\nrjuIwQCP3VR7H3NrNWFQGACrtx0hKfkUADfGR9IzpAM5Z0v44OtDNcdarTbW76luPxndr2u9rj95\ncDdmj46mosrKonXVM+d3jIvFaKyezTYYDIwfGMZb940iJtTvSpcSERERaREUun+m5z7cTpXFxo3x\nkW2ud3f8wFCgegZ7497q5f+GRgfxhwlxADy2MIm7/rGezNPn2Hf0DDlnSwjs4EF0SP1WaDEYDDw9\naygz4iMB8PVyZdpVDe+XFxEREWkp7LJ6iaPbfjiH1duP4Ops4sHrB9i7nGYX4u9FbKgf+46eYUdq\n9WY5g6M60aGdK5m55/nnyj18ujWDz7cdqdllc1TfkAb1XRuNBl76/XDiwvyI6eqLWyMuAygiIiLS\n3DTT3UA2m42n398CwJ3j4wjs4GHniuxj/KDQmj/36NIeXy83DAYDc6f2I/GlGUy/qjsmo4HM3PNA\ndehuKJPRyO/G9GJgj06NVbaIiIiIXWj6sIE+33aEnamn8fNy4+6JcfYux24mDArj+Y92ADA4KvCi\n9zr7efKPP4zkLzcPZtk3qZSWV3FN7/o9RCkiIiLSGil0N9CCtdXrU8+d1g9PN2c7V2M/4YE+RHVp\nz6GsAoZGB9Z6jJ+3G3dNaLsfTERERER+oNDdACVllexMzcFggClD6t4Vs6145c4RbPw+i3EXHqwU\nERERkdopdDfAtsPZVFRZ6d3N74q7KrYVvbt1pHe3jvYuQ0RERKTF04OUDfDN/pMAXNWrs50rERER\nERFHotDdAJsPnADgqhiFbhERERGpP4Xueso/X8aBY3m4OJkYGBlg73JERERExIEodNdT0sGT2GzQ\nP8JfG7WIiIiISIModNfT5v3VrSXD1VoiIiIiIg2k0F0PSQdP8vm2I4AeohQRERGRhlOfxBXYbDae\nX7qDf67ag80GQ3oG0rubn73LEhEREREHo9B9Bd8cOMnrK/dgMhqYc11f7ruuLyajfjkgIiIiIg2j\n0H0Fi9YlA3D/dX350/T+dq5GRERERByVpm3rcCq/mK92HsVsMnDzNVH2LkdEREREHJhCdx0++PoQ\nFquNa/uH0qm9h73LEREREREHptBdiyqLlcVfpwAwa1RPO1cjIiIiIo5OPd0/UlpexcJ1B/n42zSy\nC4oJD/RmWHSQvcsSEREREQen0P0jc/+9iU+3ZgDg5e7MX387BIPBYOeqRERERMTRKXRfsDM1h0+3\nZuDqbOLvd13NqL4huGq7dxERERFpBEqVVG+CM+/DbQDcPjaWib/qZueKRERERKQ10YOUwFc7j7Hl\nUDY+ni7cM6m3vcsRERERkVamzc50FxaX8+wH21i/5zjZBcUA3HddX7zcne1cmYiIiIi0Nm0ydO9J\nz+Wu19dxPLcIgHZuTowdEMoto6LtXJmIiIiItEZtLnQfzMxj6lOrqKiyEhfmx4u3Dyc6xBejUauU\niIiIiEjTaHOh+931yVRUWZkwKIzX7x6Ji5PJ3iWJiIiISCvXph6kLK+0sGpL9Trc90/tq8AtIiIi\nIs2iTYXuDXsyOVtUTs+QDkSH+Nq7HBERERFpI9pU6F7+TRoA118VYedKRERERKQtaTOhO/98Get2\nZ2I0GJg6tLu9yxERERGRNqTNhO7PtmZQabEyPCaIgPbu9i5HRERERNqQNhO61+7OBGDKkHA7VyIi\nIiIibU2bCN0VVRa2JJ8CID62i52rEREREZG2pk2E7p2ppykpryKysw+BHTzsXY6IiIiItDFtInQn\n7ssCYLhmuUVERETEDtpE6N68/wQA8TGd7VyJiIiIiLRFrT50FxSVsTfjDE4mI0N6Btq7HBERERFp\ng1p96P72wEmsNhv9I/zxcHWydzkiIiIi0ga1+tC9Ye9xQKu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55f+6RYcz9cEkkjpE2jlZw5CWlsaqVasAcHZ2JjEx8YqPYffbWE0mE4ZhEBUVRWZmJp07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\nAPVZUa0bdsIAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 37 + "prompt_number": 15 }, { "cell_type": "markdown", @@ -1165,7 +1165,9 @@ "cell_type": "code", "collapsed": false, "input": [ - "plt.ylabel('target X position')\n", + "book_format.equal_axis()\n", + "\n", + "plt.xlabel('target X position')\n", "plt.ylabel('target Y position')\n", "plt.plot(xs[:,0], xs[:,2])\n", "plt.show()" @@ -1176,13 +1178,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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ikwt4atEwbC2MiIrP44/DSe3uq1AoGOpjT383m9bnHK1N+PXFedwxuT+1DU385bNQXv8x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\nB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la+LwBFXUNam0wqZ9xRXae6RcnxdVuseRGBMmfz8/NbU6NCo5Wier7Co+XX/e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\nyEgmTpzYZ+Psa8OGDcPFxaXHvt5motVqcXNz6/O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TCeymu8DyCmWP8dHh0D6B4fAO5yFyFD2pYMQXwL+/cgyDI37VX2tpaQYFwoRo\nJMllx5MPrIhIyYTl0jk0v/mm4mOmG+8Am1Oi+hwIIepjFivYbQ+ApWfJHuMDfeBvvQgeiEyL1lhB\nEZRgnHP8etspNHer/81tSXE6/uZTSykQJkRDVzLEWSpuqsvw9eNG9wm4h7zo7hvflcZUvRVsXqVq\nr00IiTxmd4TKnhLl5wTw9mbwXXRKnUgURQm283gzDp3vVP115uUl4wmqESYkKqTEO/DN+5YjOd4u\nfOy4oBe39xyGhQcBAG29HgyPhu46seXrwJasEv6ahBDtMVdCaEOsQ/5Fm585Bpw4rMGsjIkiKYEa\nuwbwwvvyjS2i5afH42t3VcFupa4RhESLjCQn/p97l8Nptwgb08Ql3NZ7BAnBT06X4xxo6ByAv3De\npM36CSHGwFLSwG69DzDJwzVp77vgzfUazMp4KBgWZMQXwM9ePw5/UFL1ddISHfi7e5cjPs6m6usQ\nQmauICMBX7urClYRpUucY3PfKeR63bKH2pgLvwmUAIyF/zqEkKjG8gph2nSz/AFJAn/7RfC+yJxj\nYGQUDAvAOcfvt59Bh8onzMU7rPi7e5fTyXKERLHyglR86fbFMIUZqC4arMdCj7xH+YjJijfSVuDA\npV7sPB6ZHuaEEG2xyuVgi1bIrnPvaOgAHq9Xg1kZBwXDAuw93YZ9Z9pVfQ2bxYyv37MsIm2cCCHh\nWT43C5+9oWLWP5812ov17lOy6xJjeCttOQYsoRrCF96vRWOX/DhmQojxsI03Kbdc6+0Gf/8N2lAX\nBgqGw9TaM4Tfb1f3YA0TY3jiU0tQlivfVUoIiU6blxTg7nWlM/45u+TDTZcPw6TwwfZB8kK02tOu\n/t4flPCz149jxEdtlggxOmY2g91yH1hSiuwxfuEMcPqoBrMyBgqGw+APSPivN07AFwiq+joPbpqH\npaUZqr4GIUS8O9eWYvX87On/AOe40X0CCT4POifc9TwRX4hTLnlWqMM9jOd2ROakS0KItlicM9SD\n2CrfNyTtfgf8svrdrIyIguEwvPZRHZq6B1V9jY2VebhpufwDkBAS/RhjePTmShRmJU7r+Us8jcj0\ndKNz0IdqbyN8o16Ac3TYkrE7acGkP7f3dBtq6rpFTZsQEsVYWibY9Z+SPxAMgm97CdxH9cMzRcHw\nLNV39OPNg+q2NCnLTcYjNywAox3jhOiW3WrG395VhUTntTvAZPj6kXm5Ad9wl6EraIWdSVgVbEe+\nrwfvJy+g2TLBAAAgAElEQVSExK69XP/3e6fhGVX/1EtCiPbY3AVglctk17m7B3z3Ng1mpG8UDM+C\nPyDhV9tOISipV6yemuDAV+6kQzUIMYLUBAe+eudSWMzKX2wtQT9Ycx2+4y5Ch2THb/hcnLBmIwiG\n9MAQvt7yBgpGr5357Rvy4vn3z6kxfUJIFGIbbwJLk5dQ8rMnwM8e12BG+kWR1iy89lEdWi6rd9yy\nzWLCV+9cimSX+NOsCCHamJuXgkdukJc6+AMSmi804g8D6QjAhE/FXcb/Sq0HHHF4PW0Fmm1pyPb3\n4x+bXsKmvlOhUzcm8SGVSxASM5jFCrb1XsBilT0m7Xob3N2jwaz0iYLhGYpEecRfba1EcXaSqq9B\nCIm86kX5uHHZnKu/7/d4cfRcC06P2OBiQXwrsRGPxbfDyjgu25LwZtpy/FPhffggaQGsPIhHOnfh\ni+3vwRH0TfoaVC5BSOxgaRnKB3L4/eDbXwOX1D0IzCgoGJ6BSJRHbF5SgLUVOaqNTwjR1oOb5qM4\nKxFNXQM4fKETg36gzDKMn6ZcwDp7qGewn1nwbsYKBJkZfpMFv8/ejF/k3IBRZsHqwQv4XuMfJy2b\noHIJQmJMxRKw+ZWyy7yjBag5oMGE9IeC4Rl4/cAlVcsj5mQk4KHN81UbnxCivaFRPy629+F8ax84\nBz4Vdxn/mnwJ2eZPsrm70xajzzr+gJ2PEufjB0UPTKtsgsolCIkdjDGw624FS06VPSZ99D5472UN\nZqUvFAxPU3uvB28evKTa+DaLGV+6fTFsFrNqr0EI0daxui7c/J2X8f7xFrhspnFlEVdcistCrStf\n8ec7bCnTLpt4budZ1XugE0KiA7PZQ+3WJnafCgbBd7xO5RJToGB4GjjneH7nOQSC6pVHPHJjBXLp\nqGVCDIlzjl++fRJ3f/91NHcPYUlhKt5Z1o87MscHsV6TFTuTK+UfaGNMt2yiu38Ebx5Qd38DISR6\nsNw5YEtWya5TucTUKBiehiMXu3CyQb3bDOsX5mLDwjzVxieEaKfP48UX/u09PPXcR/AHJTy6dSFe\nWs8xBx7kpcUjzvbJ3aAPkhdi2OyY1rjTKZt482A9uvqGhf83EUKiE1uzmcolZoGC4Sl4/UH8QcXN\nKDmpLjx8fYVq4xNCtHOlLGLb4UYkOm345d/egO+vS4HtUuj4ZMYYirISYTJ9XB4Rlzuj8acqm/AH\nJdpMR0gMYVYrlUvMAgXDU3jjwCX0DIyqMraJMTx2SyXibBZVxieEaENWFlGSjm0/vBu3LMkF3/3O\nuOfabRZkZadNWR4xmanKJmrqumkzHSEx5JrlEmdqNJhR9KNg+Bo63cN4+1CDauPfsrIIpTnJqo1P\nCIk8pbKIP3/vDhRmJoIf3gvuGZT9TNYd96CweGZZ4YmuVTbxPG2mIySmTFYuwfe/Dz5KpVMTUTA8\nCf7xB4g/qM4thby0eNy9rkyVsQkh2lAqi/jBZ9fBbjWDu3vAj8k3sbCiuTDNr8SjWxfCbg2vm8xk\nZRMDvf2qfrEnhEQXZrWCbblddp2PDoPv/yDyE4pyFAxP4lRDD47Xq1NsbmIMj968EFYL/fETYgST\nlUXcurL46uN89zZAmpCdNZvBqreCMYaMJCc+vWle2HOZrGyi5oODcA+pU/JFCIk+LK9Q+TCO00fB\nu9o0mFH0omhMgSRx/GnPedXGp/IIQozjWmURV9WdA2+S9ylny9eDJaVc/f3mxQWomCO/tTkbE8sm\n/r7+jzjz3AvgCod0EEKMia2/AcxmH3+Rc/Bd22gz3RgUDCs4WNuBxi55XZ8IVB5BiHFcqyziCu73\nge99V/azLDEZbPm6cddMJoZHty6EwypmU+3Esok1R/6M4f/zL+AjVDNISCxgrgSw1dWy67yjFTh3\nXIMZRScKhicIBCW8/OFF1cb/q61UHkGI3k1VFjHuuYc/BB8ckF1nG28Cs1hl1zOSnPjLG+S3Nmdr\nYtmE4/h+SP/0DcVMNSHEgBatBEvLkF3mH+4EHx3RYELRh6KyCXadbEGnSk3qNy3KQ1kulUcQomfT\nKov4GB8cAK/5SHadFZYBxZPXB9+8shRFWWLXirFlE+hqg/TP34S0axuVTRBicMxsBtt0i+w6Hx0G\nP7pPgxlFHwqGxxj1BfDq/jpVxnY5rLhvY/ibYwgh2plOWcRY/OBuIBAYf3HMprnJmM0mPHZblcip\nA/ikbOJE/jIg4Ad/7mfgv3yGyiYIMTiWVwg2T2Ez3fGD4EPyO1exhoLhMd492oh+j0+Vse/dUIZE\np02VsQkh6ppJWcTVn+m9DH5W3uCeLV2t2P9zoorCdKxfGF7vYSV+kwX/5lqLtjv/GrA7wA/tobIJ\nQmIAW389YJmwHyEQAD+0R5sJRREKhj82NOLDWwcbVBm7MCsRmxcXqDI2IURdMymLGIsf+ACYUILA\n7A6wZeuUf0DBA9XzVDuh8td9aWDf+QmQV0hlE4TEABafCLZY4WS6MzXg7h4NZhQ9KBj+2HtHmzDi\nC0z9xFn47PUVMJlmfswqIURbMy2LuIJ3tIJfPCu7zpavB3PETfv1k1123LNene4z9R0DODXqgOkf\nngGr3kplE4TEALZ8HZjdMf6iJIF/9L42E4oSFAwDGPEF8N6xJlXG3lhJm+YI0ZvZlEWM/Vm+f6fs\nOnMlAItXzngu11cVoCAjfsY/Nx1vHqgHs9lhevgJsEe/QWUThBgcc8TJWjoCAL94Frwzdg/ioGAY\nwK4TLfCM+oWPa7OYce8G6ilMiJ7MtiziquZL4C0NsstsVTWYVd5KbSpmkwmfrp4/45+bjnMtblxo\ndQMATGuug+kf/z8qmyDE6BavAnPJv2DzffIv8bEi5oNhf0DCtsMNqox90/I5SIl3TP1EQkhUmG1Z\nxBWcc/ADu2TXWXIasGDJrOdVWZQm7GS6id44WH/11yw7n8omCDE4ZrWCrVI4iKOlHry1UYMZaS/m\ng+F9Z9rgHvIKH9flsOK2adxSJYRoL5yyiHFaG0InO03A1l4HZppeQK2EMYb7Nsyd9c9fS01dN5q7\nPzlxk8omCIkBFUsVu9rwIx9qMBntxXQwLEkcbx6qn/qJs3D76mI4HTO/JUoIiaywyyLG4EfkDexZ\nRjZQWhH2PMtyk7FiblbY4yh586B8HaSyCUKMi5nNYKs3ya7zxjrw7g4NZqStmA6GD1/oRKdb/O2/\nlHg7bqiaI3xcQohY4ZZFjMW72hSzp2z5+msesDET924og0nQWGMdONeBLoWTN6lsghADK6sAS0qR\nXY7F7HBYwXAgEMCTTz6JDRs2YMWKFfjsZz+Lixcvipqbqjjn42rlRLp7XRlsltnfEiWEqEtYWcTY\nMZWywsmpQGl5OFMdJzctHhsrxR/EIXE+6d4JKpsgxJiYyQy2bK3sOr94FrwvtvoOhxUMS5KEwsJC\nvPTSSzh8+DC2bNmCJ554QtTcVFXX3o/GTvFHEGanOLFBhQ8rQogYIssiruC9l8Hrzsmus2XrwExi\nb8Ddta4MVrP4m3p7T7dhxDt5r3UqmyDEgMoXgzkndJbgHPzIfm3mo5GwVlSbzYYnnngCWVmhOrZ7\n7rkHjY2NcLvdQianph016vQVvn11CcyCP/wIIWKILIsYix/dJz9tzpUAzF8U1rhKUhMc2FCZJ3xc\nrz+ID89cu88olU0QYizMYgWrWi27zs+dAB8SnzCMVkKjtmPHjiErKwspKfIalGgyMOzDodpO4eOm\nJTqwtiJH+LiEkPCoURZxdeyhAfDaU7LrrGoNmEWdo5RvXVmkSu3wzprmKTO9VDZBiMFULlc4lS4I\nXnNAm/loQNhKPTg4iB/96Ef41re+pfh4WlqaqJcK2+6z58DMZtjMYut6P71lMbIyM4SOSdRj/fgA\nhGh6bxLx3IOj+OJP38Rr+y4AAJ64czl+9Ohm2G1ilr/RU4cxajED+GQ9YXFOJG68Acxun9WYU703\n09LSsHlZCfacFHuHq3vQi84hjoVF6VM/+bZ7EVi6Av3PfBfBxjpI//IkEv7qa3DcdKewDYMkOtHa\naTyj6zZj9MMd466xurNIvPUeMKtNo1nNnHUWBxsBgoJhn8+HJ554ArfddhtuueUWxec8/fTTV39d\nXV2NTZvkLT0iQZI43jkkPoOR6HTg+qoi4eMSQmbvUG0bPvOjV9HY2Y8klx0///qtuGuDuNPceDAA\nX81B2XX7srWzDoSn6+4N84UHwwCw7VAdFhZN70u9Ja8Qqf/ySwz+5t8x+t6rGPz5j+E7fQwJjz8J\nk9MlfG6EEHXYVm6A98Au8MAn+wb46Aj8p2tgW7pKw5lNbdeuXdi9ezcAwGw2o7pafqDIVMIOhoPB\nIL7xjW+gqKgIX/3qVyd93pe//OVxv+/p0WanYk1dN1q6+oSPu2lVIYYG+zEkfGSilitZDa3ei0Q9\nnHP8atsp/PCFg/AHJSwpScd/fuV6FGYmCv3/zS+cgeSeMJ7JhEDxfHjCeJ3pvDcTrMCCgmTU1HXP\n+nWU7K6px52rCmZ2euYDj4LNKQV/7mfw7t0O7/kzMH3xSbA5JULnRqIDrZ3GJBXNAz9TM+6a/8Od\nYPklUX23p7KyEpWVlQBC7829e/fOeIywa4a/973vwWQy4amnngp3qIjYqcLGuTibBTcspb7ChEQD\nNbpFTIafPCy7xkrKQ5vnIuD2VeJPuQxKHLtPyk/Rmwp1myBE39ii5bJrvLsD6Lz2xlojCCsYbm1t\nxUsvvYQ9e/Zg+fLlqKqqQlVVFY4cOSJqfkJ19w/jRMNl4eNuXpJPp80REgXU6hahhPd0g7c2yq4r\nfaCoZW5eCubni9+w/P7xZkjSzINY6jZBiH6xzFywLHlrWH5K/qXfaMIqk8jLy8O5c/LemtFq/9n2\nid2PwsYYsGVpgdhBCSEzcq2yCNVeUykrnJoeyoxG0A1Vc1DbIradpXvIi7PNvVhYOPMNUsxmB3v4\nCUhzF4aC4UN7wBvrqGyCEB1gi1aAd7427ho/fxp8w41gDqdGs1JfzDTE5Zxj35l24eMuKclARpJx\n3yCERLtIlkVcwX1eoPak7DqrXBHx2rplZZlIconf7b3/bHjrJZVNEKJDcxeAOeLGXwsGgTPHtZlP\nhMRMMNzQOYD2Xo/wca+nrDAhmolkWcQ4F86EAuKxrFagfLG6r6vAYjZh82Lx69Dh853wBYJhjUFl\nE4ToC7NYgQVLZdf56aOG/iIbM8HwR+fEZ4Uzk+JQWTiNfpyEEKHUPERjWq+vlBWev1j1dmqT2bQ4\nH2aT2Iz0iC8gpFMFHdJBiL6whctk13hfr6E30sVEMByUpLBv+SnZvLQAJsEfQISQa9OiLGIsPtiv\nvHFOIZsSKakJDlSVZgofd6rjmWeCyiYI0QeWnAqWXyS7zs/LkwBGERPB8NmmXvR7fELHtJpN2Lgw\nT+iYhJBr06wsYqzzp2WXWEoakKntUexqbOQ9WX8Zg8Pi1k4qmyBEH9j8SvnF86fBg+GVTkWrmAiG\n96mQFV5Vno0Ep36OKCREz7Quixg7D157Qv7AvErNm9IvmJOKnFSxp74FJY6D5zuEjkllE4ToQGkF\nYB6fZOAjw0BLvUYTUpfhg2FfIIgjFzqFj7thobwXHyFEPK3LIsa53AneI6+jZfMXRX4uE+fAGNYt\nEJ+d3q9CFx6AyiYIiWbM7gArnie7zs8Zs1TC8MHw6cYejPrEpvVT4u0oz08VOiYhRC4qyiLG4OdP\nya6x7HywJPEHX8zG2grxwfDF9j70ebxTP3EWqGyCkOjF5slLJfilWnknHQMwfDB87GKX8DHXVuTQ\nxjlCVBQtZRHj5iRJQK1CMFyufVb4iowkp/AT6TgHTlwKv6vEZKhsgpAoVVgGZneMvxbwA5dqtZmP\nigwdDEsSR40Ki7ga2RdCSEhUlUWM1dkK7hkcf81kAsoWaDOfSaixPh1VIakwEZVNEBJdmMUCzJWv\nb/ziGQ1moy5DB8P1nf3Cu0jkp8ejICNB6JiEkJBoK4sYi186L7vGCkrA4qLrBMqV87JgMYu9c3W6\nsTfsAzimg8omCIkuiqUSzQ3gfr8Gs1GPoYNhEQ3jJ1q3IFfzXeOEGE00lkXI1MtvDbLScg0mcm3x\ncTYsLs4QOqYvEMSZxl6hY06GyiYIiSI5BWCOCV/4A37DdZUwdDB8rE78rb015dnCxyQklkVtWcQY\n3N0D7u6RP1A0N/KTmYZ1KpRKqLGeXguVTRCiPWYyAcVlsutKd8r0zLDBcHf/MJq7h4SOWZabjLTE\nOKFjEhLLorksYpx6hRKJ7DwwV7wGk5na4pIM2Cxi/wyP1XVBkiIbiFLZBCHaY0XyFmtouBDaVGwQ\nhg2Gj6lQIrGkJF34mITEIl2URYzBGy7ILyp9QEQJu9WMBYVi2z/2e3y41NEvdMzpoLIJQjQ2p0R+\nAMfwENClTg9yLRg2GD7doHBLM0zLSjOFj0lIrNFDWcRYfHQYvL1Zdp2VRG8wDKizXp1uFL+uTheV\nTRCiDWazg+XLExW8wTilEoYMhoOShNoWt9AxM5PikJcenbdECdEL3ZRFjNVwEZhwO5AlpQCpYjep\nibakVPz8zjVHZhPdZKhsghBtKJ1GZ6R+w4YMhhu7BjHiCwgdc2lpJnWRIGSW9FYWMZbi7fiiuVG/\nHiS77CjNSRI65sW2PvgD2tYJUtkEIRpQ2CzMe7rlvdd1ypDB8Nkm8dmLpSpkWQiJBXorixiLcw60\nNsqusyL57upoJHrd8gUk1LX3CR1ztqhsgpDIYQmJYOlZ8gcU1kc9MmQwXCv4Vp7TbhF+xCkhsUCX\nZRFj9bvBhwbGXzOZgZwCbeYzQ1Uq1A2LLkELB5VNEBJB+UWyS5yC4egUCEqobRW7WC8sTIPFbLg/\nKkJUo+eyiHGUssJZuWBWmwaTmbn89HikJTqEjnlGhTtv4aCyCUIig+UVyi+2NER8HmowXITX0DmA\nUZ/YY0Mr5ohtUUSIkem5LGIi3togv5iv8IEQpRhjKC8Qu37VtfVF5GjmmaKyCUJUljsHmLBXgvf1\nyu+e6ZDhgmE1buGJ/jAhxKh0XxYxBuccaFHIDOfqJxgGxK9f/qCES+2R7zc8HVQ2QYh6mCNukrrh\npshPRjDjBcOC64WTXDbkprqEjkmI0RimLGKsfrd8p7SO6oWvqCgQv98hmuqGJ6KyCUJUpFAqoXgH\nTWcMFQxzzlHfKTZdX56fGvUtlAjRkpHKIsZRqIUL1QtbIz+XMGQkOZEuuG64XoOT6GaKyiYIEY8p\nbKIzQkcJQwXD7iEvBoZ9QsekemFCJmeksoiJeEeL/KKO6oXHqpiTJnS8BsFJB7VQ2QQhgk1WNzw8\npNGExDBUMKxGtoLqhQmRM2RZxERd7bJLTGclEleIbg3pHvKiz+MVOqZaqGyCEHGY3QGmdPpmd0fk\nJyOQoYJh0dmKJJcN2SlOoWMSoneGLYsYg/v94O7L8gcyciI/GQEqVPhS39Chj+zwFVQ2QYggmfJ1\nkCskD/TEUMFwo+BguDQnmeqFCRnDyGUR41zuBKTxxw6zhEQwpz4306YlOpDkEtsbubFLX8EwQGUT\nhIjAFIJhpTtpemKYYFiNzXNFWcbJdBESjpgoixhLaWHXaVYYCPUbLhKcudfDJjolVDZBSJiUguFu\nCoajghqb5ygYJiQ2yiIm4koLe2Zu5CciUFF2ktDx9LKJbjJUNkHILKVnAabx4SMfHAAf9mg0ofAZ\nJhhWY2GmYJjEupgpi5hIafNcZrYGExFH9Hqmp010k6GyCUJmjlmsYCnp8gd0nB02TDDccnlw6ifN\nQGqCA0kuu9AxCdGLmCuLGMNom+euUOPLfVuPvtspAVQ2QcisGGwTnWGC4Q632G/ylBUmsSoWyyLG\n6e021Oa5K1Li7cI30bX36ve26ERUNkHI9CluorvcGfmJCGKYYLiTgmFCwhazZRFj9fXIr6VlRX4e\ngqmxiU70uqs1KpsgZJqU1sS+3sjPQxDDBMMdgjMUczIThI5HSDSL5bKIibjSgp5sjMN3CgV/yRe9\n7kYDKpsgZBpS5Gsi7+sFn3BXTS8MEQwPjfgwNOoXOmZOqr5viRIyXTFfFjGRQmaYpYg9zlgr2Sli\n17WOPuNmTKlsgpBriHOB2Sbsqwr4AY8+9xEYIhgWXS9sNjGkJ8YJHZOQaERlEQrcCmUSBskMZwk+\nUfNy/wgCQX1mgqaDyiYIUcYYA5IVkgRKm491wBDBsOhNHBlJcbCYDfFHQ4giKotQxjkHV6oZVlr0\ndUj08fJBiaO7f0TomNGGyiYImYRSkqBfn3XDhoj4Otxig+FsKpEgBkZlEdcwPAT4J5RcWa2Ayxh7\nCOLjbEiIswod00gdJa6FyiYImUChfIwr3VnTAUMEw6J3NIvOnhASLagsYgoKCzlLTgvdEjQI0XXD\nnYKTEdGMyiYI+QRTygzrtKOEIYJh95DYU5BEf1gQojUqi5gmA3eSuEL0nS+9n0I3U1Q2QcjHlMrH\ndFomYdF6AiL0C16MRW8yIURLfR4v/u4Xu7DtcCMA4NGtC/Gdv1hN2WAF3KNwkmVicuQnoiLRd776\nBCcj9MK05jrwojJI//WvQGsjpH/+JtiDj4FVbzXUnQRCJpWYJLvEhwbBOdfd3wHdZ4Y558IX44wk\n6iRBjIHKImZoWN4WiBmkXvgK0Z1yYjUYBqhsgsQ4exxgnvBZEvADPv2tCbrPDHtG/fALbu2T5LJP\n/SRCohjnHL/adgo/fOEg/EEJS0rS8Z9fuZ42yU1FKTPsjI/8PFSUHC92fXPHWJnERMxmB3v4CUhz\nF4aC4UN7wBvrYPrik2BzSrSeHiGqYYyBuRLAB/rGP+AZAuwObSY1S7rPDIvOSrgcVtgslDUj+kXd\nIsLgUdgMFm+szLDoL/uxnBkei7pNkJjkUkgWDCskFaKc/oNhj0/oeMmUFSY6RmURYaLM8Ix5/UGM\n+AJCx9QrKpsgMUepjEyHp9DpvkzCPTQqdDzRHxSERAKVRYSPSxL4iEJmWCnzoWNxNgscNjNGfUFh\nY/YNeRGXqvuPEyGobILEFKX1UYfBsO4zw6I7SVAwTPSGyiIEGR0GpPH7D5jdAWYRe0hFNKBSCfVR\n2QSJBUzhzpliV54op/tgeHBEbJlEkpOCYaIfVBYhkFI2w2CdJK5IERwMi16HjYLKJojhKa2RCl15\nop3u72uNeMXWqiW7bELHI0QNVBahAu+I/FqcMdssis4Mj1LN8KSobIIYmkOhb7lXbPlqJOg+GBZZ\n9wYATofxbokSY6FDNFTiU8huWo15p0j0Oic6KWFEdEgHMSSbQgJRaS2NcrovkxCdkXDYdP/9gBgY\nlUWoyK+wgCst9AYQZxP7fhn1i01KGBWVTRDDsSkkDJTW0iin+8jPK3gRFv0hQYgIVBYRAUoLuMWY\nwbDoL/2i79AZGZVNEEOxKtxlomA48kYEB8OUGSbRhsoiIkTp1p5BM8MOwe+dUT+VScwUlU0QQ1Aq\nJdPhccxUJjEBBRgkmlBZRORwxTIJY9YM20WXSdAGulmhsgmiewoJA8W1NMrpPg0qvmaYggyiPSqL\n0IBCNoMp3QI0AIeVyiSiBZVNEF2zWAHGgLH9swMBcCkIZtJPPBV2ZrijowMPP/wwli5dinvuuQcX\nLlwQMa9pE70Ix1GZBNEYHaKhEaVshkG7SYivGabMcLjokA6iR4wxMKtCOZnfH/nJhCHsYPi73/0u\n5s+fj4MHD+KWW27B17/+dRHzmrZAUJr6STNgo9vPRENUFqGhgEJAZzHml2PRd8BEr8OxisomiC4p\nndIZiKFgeGhoCPv27cNjjz0Gm82GRx55BK2trTh//ryo+U1J9Jdms4k2LpDI45zjl2+fxN3ffx3N\n3UNYUpKObT+8G7euLNZ6arFDaTEx6X5bhSKT4A1alLwUh9nsMD38BNij3wDsDvBDeyD90zfAmy5p\nPTVClCmtJzpbFMJa6RsbG2Gz2eB0OvHQQw+hpaUFc+bMwaVLkftLKwn+Axf9IUHIVKgsIkpwheym\nQdcDk+Av/fr62NMHKpsgumGAYDise4AjIyNwuVzweDyoq6vDwMAAXC4XRkbkx5qmpaWF81KKOOew\n2cRucElPTxc6Hole1o83R6nx3pyuQ7Vt+MyPXkVjZz+SXHb8/Ou34q4N8zWbTyzzxDnhn7Az2pmU\nBJsG7w+135s9wxC6dtrtdk3/HhlWWhr4M/+Nwd/8O0bfexX8uZ/B1nAeCY8/CZPTpdm0omHtJNFj\nwOGA5Bt/BHNicjJMyakRn4t1lpuewwqG4+Li4PF4kJ2djQMHDgAAPB4PnE75WdVPP/301V9XV1dj\n06ZN4bw0AN198SBkHM45/vE3H6Cxsx/L52bj2X+4CyU5yVpPK4YpLCgGzQyL7mNLa7F6mN2OxC89\nCduCJRj8+Y/h3bsdtqo1iNt8i9ZTIyREYT2J5B2MXbt2Yffu3QAAs9mM6urqGY8RVjBcWFgIr9eL\nzs5OZGVlwefzoampCcXF8jrHL3/5y+N+39PTE85LAwj9Yft8You0L1++TA3PY8SVrIaI9+Js/fjR\n9fjdeyn4u3uXw24NajqXWCeNjIBPOHgj0NcPpsH/E7Xfm73uPqFrp9c7Su9dtVWuAPvOT4D9H8Cz\naCWGNfzzjoa1k0QPaVS+drr7+sAitK+2srISlZWVAELvzb179854jLBqhuPj47Fhwwb84he/gNfr\nxW9/+1vk5eVh3rx54Qw7bYwx4YkbynCQSMpLi8c/PLiKukVEA8XFxJgLguisDSUQIoNl58N092fo\nz5tEF6XlhOlr83HYs/3BD36A8+fPY9WqVdi2bRt++tOfipjXtAnfFW3QDz9CyFT0vwlkukT/Z1ET\nHkJimNKCorM1IewmmtnZ2Xj22WdFzGVWRH9BDgQ5zPr6QkMIEUGpjZpkzP65AYP+dxFCNGCATjy6\nD/usZrG3l+kkJRJJO3bsQH5+PhYvXkwtk7Sm1Dhe6VQ6AxB9cicdVqSe++67D/n5+cjPz0dBQQGW\nLz9t9kgAACAASURBVF+Oxx9/HHV1dVpPjRAAkNULAwAsCqfSRTHdB8OiT1Ly+sV+SBByLdu3b0dS\nUhLcbjeOHDmi9XRim03/R4pOl+h1zmE15kl90aK8vByvv/46Xn31VTz99NNobm7Ggw8+iIGBAa2n\nRmIclyTl0+Zm2eJMKwYIhsUuwpQZJpG0c+dO3H///UhOTsb27du1nk5ss8qDYe73ajAR9Yle50Qn\nJch4TqcTVVVVWLZsGW699Vb88Ic/RHt7+9WWpoRoRilhYLWC6ez0Tn3NVoHoRVj07UNCJnPmzBm0\ntrZi48aNWLt2LQXDGmMKwTCUbv8ZgPhgmDLDkWT6ONBQOuCKkIgKyNdIZrVrMJHw6D4Ytgu+PTfq\np8wwiYzt27fDYrFgzZo1WLduHc6dO4fW1latpxW7lIJhqhmeFmoNqC7OOYLBIPx+PxobG/HMM88g\nKSkJGzZs0HpqJNYpJQyUSs6inO6/zlNmmOjV9u3bsWjRIrhcrqsfatu3b8cjjzyi8cxilNICbtTM\nsOAv/VQmoa5jx46hsLDw6u9zc3Px/PPPIzU18sfdEjKOT6GUTCmxEOV0nxmOo5phokO9vb2oqanB\nunXrAABlZWXIysqiUgktKd3ao8zwtIheh8l45eXlePvtt/HWW2/h17/+NYqKivDYY4+hra1N66mR\nWKe0RuowM6z7YNgh+Pbc0Kgxd4+T6LJjxw5IkoQVK1ZgdHQUo6OjWL16Nfbt20d1gFpRzAwbcwOd\nR/A6Z6dgWFVOpxOLFi3C4sWLsXXrVvzud7/D8PAw/uu//kvrqZFYpxQM66ytGmCAMok4u9j/hH6P\nMT/8SHS5kgH+/Oc/L3tsz549uOmmmyI9JeKIk18b8UR+HhHgHhK7zlFmOLLi4uJQXFyM2tparadC\nYt2wwhoZ54z8PMKk+8xwolPsN5A+wR8ShEzk9/uxe/duXHfddXj99dev/vOnP/0JZrOZSiW04oqX\nXeKeQQ0moj7RX/qTXfrLBOmZ3+9HS0sLEhMTtZ4KiXGKa6TCWhrtdP91PjneIXS8Po8xawRJ9Dhw\n4AAGBwdx5513oqqqatxjq1atwo4dOzSaWYyzxwFmMxAcU0/r94P7vGA2/bUKmgznXPiX/iSXcf58\nopHH48HRo0chSRJ6enrwwgsvoKenBw8++KDWUyOxzjMku8Sc+guGdZ8ZTha8CLuHRoWOR8hE27dv\nh9lsxvXXXy97bOvWrejq6sKpU6c0mFlsY4wpL+IKi72eeUb98AcloWMmx1MwrKba2lrccccduOuu\nu/C1r30NQ0ND+PWvf624hhASUYqZ4YTIzyNMBsgMi12EqWaYqO2pp57CU089pfjYF77wBXzhC1+I\n7ITIJ1wJwGD/+GueQSAlTZv5qKBf8N0vl8MKm4Vaq6nlxRdf1HoKhExuWCFZoMMyCf1nhgUHw6O+\nIEaovRohsUlpETdYZlj05jnRd+cIIToypJAZpjKJyIuzWYSffkSb6AiJUYplEsbaRNfnEVsKlkSb\n5wiJSVySwJU67uiwTEL3wTAgPjvc3T8sdDxCiE4oLOJG6yjR3Se2j3VKgthNzIQQnRgdBqTx+w+Y\n3QFmtWo0odkzRDCcIvg2XYebgmFCYhGLV8hoDPRFfiIq6uwTu74lOalMgpCY1O+WX9NhVhgwSjAs\nODPR0WvMRvuEkCkkK2yU6+uJ/DxU1C54fUtNoGCYkJjU1yu/lpwa+XkIYIhgOCfVJXQ80ZkTQohO\npMgXct7nBpfEtiLTCuccnYLvfIlefwkh+sDdCokCnXbeMUQwnJUs9ug/0ZkTQog+MIcTzDFhPZGC\n8nZrOtXn8QrvlpOVor+jVwkhAvTLM8OMMsPayRacmegZGIUvEJz6iYQQ41FazA1SKiE6K2w1m5CW\nECd0TEKITihlhpVKzXTAEMGwGpkJ0R8ahBCdUCiVUFz0dajDLfauV1aKEyYTEzomIST6cUkCV8gM\nU82whuJsFqQIbq9GpRKExCamkNngShtFdEj0upadQvXChMSkoQEgML7kitkdQJw+1wRDBMMAkCV4\nUW7oHBA6HiFEJ5Ru8xkkM9zQKbZnMtULExKjlErHklPBmD7vFBkmGM4RvCg3dlEwTEhMUtoNfbkT\nnPPIz0UgSeJoFPwlX/R+DUKITlzulF/Tab0wYKBgWHSGoqFjQPcffoSQWUhJAyyWcZf46LDuO0p0\n9Q8L7yQhOglBCNEH3tUuu8YyszWYiRiGCYYLMhKFjjc06sflAbHHlhJCoh8zmcHSs+QPKCz+etLQ\nIf5uV15avPAxCSE6oLQeZuREfh6CGCYYLsoSfwSgGh8ehBAdUFjUeXeHBhMRR/Q+iKwUJ5wOq9Ax\nCSHRj3tHwScexcwYkEGZYc3Fx9mQkSS232U9baIjJCYp3u7TeWZY9HpWnCX2bhwhRCe6FUokklPB\nbPo9mt0wwTAAFAlenGkTHSExKjNXfq2rXbf7CNTYPCd6vSWE6ESnsUokAIMFw4WCF+e6tn5Ikj4/\n/AghYUhNN9QmuvZej/DNc6LXW0KIPnClzHAWBcNRQ/RtuxFfAA2UHSYk5hhtE92ZJvF9kosyKRgm\nJCYZbPMcYLBgWI3bdrXNxjh5ihAyQ0qb6NqaNJhI+Gpb3FM/aQZo8xwhsYkPDRhu8xxgsGBYjU10\nZ5soGCYkFrHcAvnF1sbITyRMksRxTvCXeto8R0iMapUnBFh6lq43zwEGC4YBoDhb7CJ9vrUPQUkS\nOiYhRAfyCmWXeE9XqHZYR1p7hjA44hc6ZnF2ktDxCCH6wFsb5BcV1kq9MVwwPD8/Veh4I76A8P6c\nhJDox1wJYBOPZuZcMTMSzc6qUOo1Pz9F+JiEEB1QuDvG8osiPw/BDBcMVxSIDYYB4Fyz2Ho7QohO\n5BXJLilmRqKY6BIJp92CQto8R0jM4YMD4H0T1hPGgNw52kxIIMMFw7lpLiQ6bULHVGMnNiEk+jGl\n2386ygxLEket4C/z8/JTYDIxoWMSQnSgTSErnJ4FZndoMBmxDBcMM8aEZ4drm93Ce3QSQnRAqW74\ncif4iD7qhi+29WFoVGy98AIV7r4RQqIfb1HYQGyAemHAgMEwAMwvEFvP5g9KONVA2WFCYg1zxYOl\npssf0EmpxLG6LuFjls+hYJiQWMM5V1z3WH5x5CejAkMGw2rUDdeo8KFCCNEBpexwwwUNJjJzx+q6\nhY7nclhRkJ4gdExCiA70XlbuL6zUglKHDBkM56S6kOQSWzd8/FI3Hc1MSAxihWXyi/UXwaO85WJ7\nrwftvR6hY86nemFCYlPDedkllp1viHphwKDBMGMM5YJbrA2O+FHX3id0TEKIDuQXA5bxp63x0WGg\no0WjCU2PGnezyqmlGiExiV9SCIZL5mkwE3UYMhgGgMUlCnV+YTp6UewtR0JI9GNWK1iBvC6O10d3\nqUSN4BIJAFhckiF8TEJIdOPDQ+CdrfIHiudHfjIqMWwwvKQ4AyYm9naeGptRCCHRTzEDUl8b+YlM\n09CID+dbxd7Jykl1ISfVJXRMQogONFwMHTg0BktOkx9KpGOGDYYTnDaU5Yo9MrS914Pm7kGhYxJC\ndKBobmizyBjc3QPujs4uM4fOd0LiYvc4VJVSVpiQWMTr5SUSMFCJBGDgYBgAqsoyhY+570yb8DEJ\nIdGNOePBsvLkDyh9SESB/WfbhY+5lIJhQmIOD/jBmy7JrrMiCoZ1o6pUfDC8/2w7dZUgJAax4rmy\na7zunAYzubbL/SOobRF76lxCnBVluclCxySE6EBjHRAYf3APcziBHIXkgI4ZOhjOSXUhO8UpdEz3\nkBfnWnqnfiIhxFgUNovwjhZ5702N7T8nPiu8uCQDZpOhPy4IIQr4+VPyi0VlYCZz5CejIsOvbstU\nKJXYf0b8hw0hJMqlpoOlyUsFFD8sNMI5V2V9UuMuGyEkunHvqGK9MJu7QIPZqMvwwfASFVoBHTrf\nCV8gKHxcQkj0YoyBzV8kf6D2ZOio0ijQ1D2I1p4hoWNazSZUFhln1zghZJrqzgLB8bEOi3MCBSUa\nTUg9hg+G5+YlCz+NbsQXwHEVengSQqLcvErZJe7uAbqi426RGlnhhUVpiLNZhI9LCIluvFbhrte8\nhWBmY5VIADEQDJtNJqwpzxE+7u5TCg2oCSGGxhKSwPLmyK5HQ6lEIChh31nx3W7WVYhfPwkh0Y0P\nDoC3NsquM4WEgBEYPhgG8H/bu+/oOK4rT8C/1w10N3LOmcgZIJjAAIhBYpYokXQcjTXjMGuPR7Nn\nLHlnPbPe9eo4jGxrzljy8Y6o8ZEtWRZFJcoixSBmEgxIJHIORCJyBhqN7nr7R5EUwWoQqaurG32/\nc3RAVjVeXVLNwu1X992HXBlu5uUtfegenLD4uIQQ28YSzJRK1FWCC8qWThXVdWN43GDRMV00Tsii\nemFCHE99hZmNNnwBcy0mlwGHSIajgzwtvnMS58D5sjaLjkkIsQNxycBDjwn5xBjQ1qJMPHedvWX5\n+1FOfCC0zsvvkSghZHac81lKJNLALLyzr61wiGSYMSbL7PDF8g5aSEeIg2E6F7CoOMlxXlWqQDSi\ntt5Ri/cWBoDc5FCLj0kIsXHdneB93ZLDZhcQLxMOkQwD8pRKjOmncaP2jsXHJYTYNpaUITnGm2rB\nR0cUiEaeWWFvdy1SIn0tPi4hxLbxiiLJMRYcLpZJLFNLSoYPHTqE7du3Y+XKldi7dy/OnDljqbgs\nLtDbFfEy7KB09iaVShDicKLjwdw8Zh4TBEVmhyenjLJsE78uKRgq1fJ8JEoIMY/rJ8DrKiXHWdpK\nBaKxniUlw87OznjttddQUlKCn/zkJ/jhD3+ItjbbTQ5zUyw/O9zYNYzmO8MWH5cQYruYWg2kZktP\nVJSAm6xbOlVQ3Qm9wfLXXJ9CJRKEOJyqW9LewjoXYBlutPGgJSXDzz33HOLj4wEAK1euREREBKqq\nqiwSmBzWJgbDWW35ypDTpbctPiYhxLaxtJXAQ1sU84kxoKnWajEIAsfpEsvffyIC3BEZ4DH3Cwkh\nywYXBPCKYumJlCwwJ2frB2RFFssMh4eH0dLScj85tkXuLhqsTQq2+LjXqrvQNzxp8XEJIbaLuXmA\nrUiUHOfl0no7uRQ39KBrYNzi427JjFy2q8YJIbNoawIfli7EZanLu0QCACy2rdCPf/xjPP3001ix\nwvw2fX5+trGd5/7HMnCj3vK7x12s7sW3d5t5bEpslrOz+EnXVt6bxP4YN27F2O3GmQd7u+AhTEMd\nsPgP3vN5b3LOcbbsJjQay87YuGqdsWdjKly0y3smiCwe3TuXp/Ezn2BaM3PHXqcViXCPtd1Jzofd\ne28u1JzJ8Kuvvorf/va3kuPbtm3Da6+9BgB45ZVXMDIygl//+tezjvPSSy/d/3VeXh7y8/MXE++S\nxYX5IDbUB42dlm1DdKakGQfzk+HtrrPouIQQ26WOioXaLxCm/p4Zx6eKrsB1535Zr13W1IOGzgGL\nj5ufGUWJMCEOxjTQh+mGaslxbc56BaJZmAsXLuDixYsAALVajby8vAWPwWpra/ncL5vdm2++ib/8\n5S9466234OrqavY1bW1tSE5OXsplLOpieTv+66R0teRS7Vkbg4ObEiw+LpHHvVmN/v5+hSMh9ozf\nKoRw8cTMg2o1VN/4B2nHiXmaz3vzF+8Vovq25ZPhnz23AWH+7hYflywfdO9cfoSzn4JXzuyGwzy8\nwP76+2Aq++nC6+fnh8uXLyMiImJB37ekP+FHH32Ed999F4cOHZo1EbZFa5NC4Kaz/MzHmdI2TOin\nLT4uIcSGJWWAaR96ImQygd+8LtslGzqHZEmEkyJ8KREmxMHwsRHw6jLJcZaxyq4S4aVY0p/ytdde\nQ2dnJ7Zu3Yrs7GxkZ2fj9ddft1RsstE6q7EpzfJtgyYNRlma3xNCbBfTaoG0HOmJ8mJwvTwLa4/d\naJZl3K1ZC5tNIYTYP156DRAeaqem1Zm/ry1TS1pAZ8ubbMxlc2YEThS1WnzcE0Ut2JodCReNxdYm\nEkJsHMtaA37rOmA03j/Gpw1AeRHY6k0WvVZrzwhKGnrmfuECeblpsDIu0OLjEkJsF9dPgFeWSE9k\nrALTaK0fkEIcY/7bjGAfN2TG+Ft83NHJaZwsarH4uIQQ28Vc3cGSs6Qnbt4An7Zs6dT7l+otOt49\nW7Mi4SRDH3ZCiO3itwqBh+9RTs5gGWuUCUghDn3n27UmRpZxPytqwfD4lCxjE0JsE1u5TroJh34C\nsOAWzdW3B1DW3Gex8e7ROqupRIIQB8MNU0BZoeQ4S80Cc3VTICLlOHQynBjug4Qwb4uPqzeY8Ol1\neWr6CCG2iXn6gCWkSY7z0qvgD5RPLBbnHEcu1S15HHO2ZEbA3UUz9wsJIctHRYl0XYNKBZadq0w8\nCnLoZJgxht1rzG8SslTnbrWhd3hClrEJIbaJrZT25OSjI0DF0nelK27oQWPX8JLHeZizWoXtq6Is\nPi4hxHbxKT14cYHkOEtMB/PwUiAiZTl0MgwAmSv8ERmwuF6gjzJtEvBRQePcLySELBvML8D8Fs2F\nV8CnFl86ZRIEfHBZnlrhDamh8KHNgghxKLz0mljG9SDGzH6gdwQOnwyLs8Py1A4XVHWirXdUlrEJ\nIbaJrc0HGJtxjOsnwG9eW/SYVyo70dk/vtTQJFSMYddqee5/hBDbxCfGzN6PWGI6mK/lGwvYA4dP\nhgFgdWIQAr1cLD4u58A752rA+ZI2+SOE2BHmHwSWmC45zkuvgk+MLXi8ySkj3pdpVnh1QhCCfOxn\nwyRCyNLxwsvSDhJqtfhB3kFRMgxArVLJ1lmi6vYACuu6ZRmbEGKb2No8QKWeeXB6Grzo8oLH+vhq\nA4bHDRaKbKbda2lWmBBHwocHwSukfYVZ+iowT8s3FLAXlAzftTE1DH6e8tTNvXOuBpOGpa8mJ4TY\nB+bpA5a+UnKcl5eAjwzOe5z23lGcLrltydDuWxkXiKhAT1nGJoTYJn79vHS3OY0WLGeDMgHZCEqG\n73J2UuHp9XGyjD04NoW/XGuSZWxCiG1iqzaCOT/UrkwwgV89P6/v55zjrbM1MAmWL7NSMYYDG+Mt\nPi4hxHbx3jvgdZXSE9nrHK6v8MMoGX7AhpRQhPu7yzL2yeIWdPYvvF6QEGKfmKs7kL1OcpzXVYB3\nzj3be7miDTVtA3KEhg2poQiT6V5HCLE9nHPwCyfExUwPYC6uYFlrFYrKdlAy/ACVimG/TLMlRhPH\n22dpMR0hjoRlrwNzkS5Q4xdOgD/0qPJBE/ppvHmyTJaYnNUqPL0+VpaxCSE2qqYMvKtNcpitzgPT\naBUIyLZQMvyQ7NgAxIfKU0Re2dpPi+kIcSBMowVb95jkOO/rBsqli1juOXy+CoOjk7OeX4qt2RHw\n87R89xxCiG3iU3rwgrOS48zHD0iTrm1wRJQMP4QxhoN58tXSvXWmGiMT8qwMJ4TYoJRssMAQyWF+\n/bzZVmv1HYP49Ko8rdRcNE7YI9Oum4QQ28SvXzB7r2F5O8DUajPf4XgoGTYjMdwXWSsCZBl7ZMKA\nt89UyzI2IcT2MJUKLH+H5Li52RqD0YQ3TlSAQ55yqp2ro+Hhqpn7hYSQZYH3dYOXS7eDZ3HJYJH0\nwfgeSoZncWBT/MObSFnM9do7KKy9I8/ghBCbw4LDwVKyJcd59a0ZdXwfXm7AncEJyesswctNgydy\nomQZmxBiezjn4Oc/AwRh5gknZ7CNTygTlI2iZHgWEQEeeCwjQrbx/0jlEoQ4FJa7GUwr7WXOz38G\nbjKhvmMQJ4pbZLv+wU0JcNE4yTY+IcTGzLJoTrVmE5gH9Rh/ECXDj3BgYxw8XJxlGZvKJQhxLMzV\nDSx3s+Q47+uGsfCyWB4hU7OZ+FBvbEgJlWdwQojN4eOj4JdOSY4zbz8gS9ry0dFRMvwI7i4aHNgk\n32I6KpcgxMGkrgQLCJYc7jp5AtM98twLVIzh2W3JUKlkqvsihNgUzjn4uePgU3rJOZa/nRbNmUHJ\n8Bzy0sKxIthLtvHfPF2FgVHpG5YQsvwwlQps825A9cWtd3TCgN7BcTwxeAsqLjziuxdnc2Y4bbtM\niCOpLQdvrpMcZvEpYJHUY9wcSobnoFKJsypyLaYb00/jd5/egunhAndCyLLEgkLBsnMBAEaTgNs9\nIwCAAMMIVo02WvRanq4a2TYSIoTYHj4+Cn7xpOQ4c3UDy9+pQET2gZLheVgR7IXH0sNlG7+uYwgf\nF1j2hyAhxHaxNXmAjz9au0cwbfqiUHjNaD38pkcsdp2DeQlw08mz7oEQYlvE8ohjs5RH7DS7GyYR\nUTI8Twc2xcNdxh8qf7nehIqWftnGJ4TYDubkhHMB2RjWG2ccV3FusXKJuFBvbKRFc4Q4jtpy8Gbp\nhj0sIRUsLlmBgOwHJcPz5O6iwZcfS5RtfM6B1z8rw9D4lGzXIITYhrr2QbxTOYISd2nT+wDDCFYN\n1S5pfLWK4Ru0aI4Qh8FHh2cvj8iTbvpDZqJkeAE2pYYiM8ZftvGHxw14/Xg5BEGm/kqEEMWNTRrw\nu2NlMAkc1z3jMeDsLnlNznA9wiZ7F32NJ9etQCQtmiPEIXCTCfzkh1QesQSUDC8AYwzPPZEKV618\njesrW/vx8VWqHyZkORIEjv88Xn6/g4yJqXHKJxPCQyt0GTge7yuBi2nhT4qiAj2wZy1ts0qIo+DX\nz4N3tUuOU3nE/FEyvEC+Hjp8dXOSrNc4erURN6j/MCHLzpFLdShr7ptxrEfjjUKPOMlrXU16bB+8\nCbaAnTjUKoZv7UiDk5pu7YQ4At7aCF5cIDnO3D3B8qk8Yr7ojrkIcpdLAMChzyrQ2mO5VeWEEGVd\nruzA8cIWs+dueMSjXesrOR6p78PKsfk/KaLyCEIcBx8fBT/9sfSESgW2/WkwHZVHzBclw4tgjXIJ\ng9GE//i4FMO0oI4Qu9fQOYQ3T1XNep4zhpO+2ZhUaSTnckfqEDI1MOc1qDyCEMfBBQH81FHwyQnJ\nObYmHyw0UoGo7Bclw4tkjXKJ/hE9XvvkJowm2pCDEHs1MKrHb46WYnqOf8fjah1O+WZKjqs4x46B\nUugEw6zfS+URhDgWXnQZvL1ZcpxFrgDLWa9ARPaN7pxLsCk1FFmxAbJeo65jCH/8vAp8AXWDhBDb\nYDCa8JujpRgenz2RfVCrLhDFHtLZXQ+THjv7S8Bm6T/8VG4slUcQ4iB4cx34jYuS48zVHezxp8BU\nlNotFP2NLQFjDN/angYfd62s17lQ3oHPilpkvQYhxLIEgeP14+VovrOw2v+rnom4Y6Z+OGKqH3nD\n1ZLjKZG+2EvlEYQ4BN7fC37qY3FzggcxJibCrtJWjWRulAwvkYerBt/dkwEVk7e5/eELdbhc2SHr\nNQghlsE5x9tnq1FY173g7xWYCqcDcjClku54mTnWgtTx2/d/7+mqwXd2pdPmGoQ4AK6fAD92GNwg\nXUvEVm0Ai6QPxYtFybAFJIb7Yt/6WNmv8/uTlbjVtPhG/IQQ6/jkWhPO3Gxb9PePOrniVMAqcDM5\n7uahCoTeXVD3d7vS4eOuW/R1CCH2gQsm8BMfgg8PSs6xqDiwNfkKRLV8UDJsIXvXrkBKpPTRpiWZ\nBI7XPrmFhs4hWa9DCFm882Vt+PBKw5LHaXMJxCVPacN8FefYNVCMZzIDkBYtb4tHQoht4Jc/B28z\ns2DOx09so0Z1wktCf3sWolIx/N3uDHi6SlsjWZLBaMK/f1iCzv4xWa9DCFm44vpu/OG0tK53sW66\nx6DKLVxyPMBZwJ6+IvDp+S3MI4TYL15VCn7rhuQ40+rAdn8ZTEtPh5aKkmEL8nbT4u92ZUDm8mGM\n6afxqw+K72/pSghRXm37AP7fsTIIluz8whjOeaehS+N9/5BazRAd5An0dYOf/BBcMFnueoQQm8Jv\nN0E495n0BGNg258B8/GzflDLECXDFpYW7Ycn18lfP9w/osfLR4owRJtyEKK4xq4h/PuHpTAYLd8T\n3MTUOOaXgzG1OPsTFeABZyc1AIA314Of+4xaLxKyDPHuTvDjRwAzH3hVG7eBRcmfazgKSoZlsC83\nFivjAmW/TtfAOF5+r4h2qSNEQc13hvGr94sxaTDKdo0JtQ6f+uUgKMATnm4zWznyqlLw6+dluzYh\nxPr4UD/4X/5sthSKJWcAmWsViGr5omRYBioVw3d2pSPcX/5+fx39Y3j5SBFGJqh2kBBra+0ZwS/f\nL8bElHyJ8D0x6UkIPfhVmKvD4oWXwW8Vyh4DIUR+fHwM/JM/m99qOTQS7LFdYHLXYzoYSoZl4qJx\nwvNPZcNdJ+0VamntfWP4t/cKaYaYECtqvjOMf3uvCOP6admvFRXkiW/uSIMqIRWqTdvNvka4dBK8\nvkr2WAgh8uFTevBP3jHfQs0vEGzPl8Gc5M8rHA0lwzIK8nHF3z+ZCbUVGuKLCTHVEBNiDY1dQ3j5\niHUSYU9XDf77vmxoncU6YZa5Gmz1RukLOYdw6mOz7ZcIIbaPG6fBj70H3ifdrId5eIE99TXqHCET\nSoZllhLph69tTrLKtTr6x/CLw4XoH5m0yvUIcUR17YP45RHrlEY4qRmefyoLvh4zfwCytY+BpWRL\nv0EwiT9Mu9plj40QYjncZAI/+RF4R6vkHNO5gj31dTA3DwUicwyUDFvB1qwIPJYh7RUqh66Bcbz0\nznV09FEfYkIsraShB798v0jWxXIP+sa2FMSH+UiOM8bANu8Ei0mQnOPTBvEx6x1KiAmxB2Ii/CF4\nU630pJMz2N6vUAs1mVEybAWMMTy7NRmpUdZ5Mw+OTeGn795AfYe05ogQsjgXytrx6tGbsrRPM2ff\nhkTkpc/+IZqp1GA7ngELiZCc44YpcQFOd6ecIRJClogLJvBTH4M31khPqlRQ7ToAFhxm/cAcDCXD\nVuKkVuEfnsoSm+Vbwbh+Gi8fKUJpY49VrkfIcsU5x9Grjfj9qUrLbqjxCJuzovHs4+lzvo45RGt8\nVQAAHqVJREFUOYsLavyDJOf4lB786J8oISbERnHT3US4wczCV8ag2vYkWFSc9QNzQJQMW5GLxgn/\n9MxKBHm7WuV6BqOAV4/exMVyelxKyGIIAsdbZ6rx4ZUGq10zM8Yf330yZ96tk5jORawn9AuQnONT\nevCP36aSCUJszP3SiFk6wKi27AFLnPsDMbEMSoatzMtNix/sz4GXm8Yq1zMJHP91shKfXGukXaoI\nWQCD0YTfHbuFMzfbrHbN2BAvfG9vJpzUC7s1M1c3sH1/ZbaukBumwI++A95lvT8HIWR23GQCP/GB\n+dIIAKrNu8FSsqwclWOjZFgBQT6u+MH+HLhonKx2zQ8uN+A/j5fDYJRu60gImWlgVI+fv1uIG7XS\nFkdyCfF1wz89sxK6Rd4XmKs72NPPgnmbT4iFj/8E3mq9GW5CiBQ3TIk7y5lbLAdA9dhOsLSV1g2K\nUDKslKhATzy/LwvOC5wBWoqr1V342bs3MDCqt9o1CbE3DZ1D+MmfrqHpzrDVrunjrsWLB3Lg7rK0\nJ0bMzQPsmWfBfP2lJ43TED49DF59a0nXIIQsDp8YA//wj7P2Aldt3gWWvsrKURGAkmFFpUT64Tu7\n0qGy4raKzXdG8JM/XUND55DVrkmIvbhc2YFfHC7E0Jj1Nq9x0znjhf058PN0sch4zM1DnCE2U0MM\nQYDw+SfgJQUWuRYhZH748CD4+2+C996RnmQMqq17wNJyrB8YAUDJsOLWJAbjWzvSYM1txofGpvCL\nw4W4XNlhvYsSYsMEgePwhVoc+qwC0ybrtE4DAFetE148kIPwAMs202eu7mD7ngULCDZ7XrhyBsKl\nU+CC9f6shDgq3ntHTITNbLEMlQqqrXvNb6JDrIaSYRuwITUU39xu3YR42iTg0GcV+PP5Ghit+MOf\nEFszNmnAv39UguOFLVa9rovGCS8cyEFMsJcs4zNXN7Cn/xosPMbseX7zOvjnR8FNtI6AELnw9max\nNGLCzEZYTs5Q7foSWHKm9QMjM1AybCM2pYXhbx5Ptfp1TxS14ueHC9E3TFs4E8dT3zGI//XHqyhr\n7rPqdXUaNV44kIPYEG9Zr8O0WnH3qvgUs+d5bYW4mEdP//4JsTReWw7hkz+DG6RlV0yrg2rfX4HF\nxCsQGXkYJcM2JD8jHN/cnmrVGWJAXDD047euorjeeivnCVGSIHD85XoTfn640OoLSl00TnjxwCrE\nhcqbCN/DnJzAnngaLGO12fO8rRn8yO/BB6z7gYCQ5YoLgliKdOpjwMyTF+buCbb/ObCQ2XeYJNZF\nybCNyUsPt3rJBCDuWPebozfx1plqar9GlrXh8Sn8+sNivH+pHibBur23XbVOePFgjtUS4XuYSgWW\ntx1s3Waz5/nQgJgQU+s1QpaET+nBPz086yJV5hsAduBvzC9wJYqxXqNbMm+b0sKgYgxvnKiw2vav\n93xeehv1nUP43p4MBPu4WfXahMitoqUfr39WhuFxg9Wv7aZzxgsHcrBCphrhuTDGwFZvBHd1g3Du\nGPDQvUXsf/ouVOu3ANm5894BjxAi4oP94McOgw/2mz3PQiLA9nwJTGedXWjJ/C15Znh4eBjr1q3D\niy++aIl4yF0bUkPx909mWrUP8T2t3SP4329dxblbbbRrHVkWDEYTDl+oxa8+KFIkEfZx1+J/fnm1\nYonwg1hqNlR7vwKm0UpPcg7hyhnw00fBjdPWD44QO8VvN4pPV2ZLhBNSxW3TKRG2SUvOtF555RVE\nRETQLIIMVsUH4YUDOXDVWn8CX28w4c3TVfjl+8W0uI7YtYbOIfz4j1dxvLDl4clQqwjxdcO/fnUt\nIizcPm0pWFQc2MG/BfP2NXue15aLK+BHrbfxCCH2iHMOXnJVXCg3ZWb9AWNQ5W4W6/adna0fIJmX\nJSXDFRUV6OjoQH5+Ps0gyiQpwhc/+soaeLubmcWxgsrWfvzrHwpolpjYnXuzwT/98w10DYwrEkNs\niBf+5Str4O9lmQ01LIn5+osJceQKs+d5dyf4n1+fddtYQhwdn5wA//QwhCufS8qOAIA5a6Da/SWw\nVRtpwtDGLToZ5pzjpz/9Kf75n/+ZkiSZRQR44F+/ugbBPso8Xpk0GGmWmNiVB2eDrV13f09mjD9+\neHAVPFyXtsWynJjORWy9lrXW7Hk+pYdw7D0IF0+AG41Wjo4Q28U7bosfFlvqzZ5nXj7ih82YBCtH\nRhZj0c/f33//fSQmJiIuLm5en3j8/PwWeykC8e/v138fgJ/96QrqOwYUiaG+awQvvVuEr29Nw/bV\nsVCp7PuTrvPdR1b03lw+Jqem8e65Khy7Vg+Bc2g0yjyWfCwzCt97ahWcFlnzb/X35r6vwrAiHpOf\nfWB+E47qW1AP9ML16b+C2tffOjERm+XI904uCJgqOAv9pdPibLBG+mHXKToOrk9/HSoXWoRubc6L\nLEV5ZDL86quv4re//a3k+Jo1a9DV1YXDhw8DwLxmhl966aX7v87Ly0N+fv5CY3V4Xm46/J9v5OFX\n711DaYOZ/c2tYGJqGoeOl+JMaQu+vTsbiRGOdzMktodzjssVbfjDyTIMjCr79GLfhkQ8+3i63T0W\n1WSsgsovABMfvg3BTK2wqbsTY7//D7js3A9NapYCERKiLGFsBBOfvAtjy+wtCLVrNkG3eSeYmpp1\nWcuFCxdw8eJFAIBarUZeXt6Cx2C1tbULfoZYU1ODffv2SY4nJyfjo48+khxva2tDcnLygoMj5pkE\nAe+er8OpklalQ8GmtDAc3BQPLzdlapqX4t6sRn+/+dW/xD509I3hj2eqUdOmzBOTe5zUDN/YloK8\n9KU30lfyvcn1E+CffwLebP7xLwCw5EywTU+AaXVWjIzYCke8d/KmWvBzx8AnzK8/YDoXsG1PUlmE\nwvz8/HD58mVEREQs6PsW9dElKSkJNTU193//2muv4fbt23j55ZcXMxxZILVKha9vSUJEgDv+8HkV\njCblarYvVXSgpKEHT6+PxZasCKhVtI8LsY7JKSM+vtqA0yW3rb55xsM8XTV4/qksxIf5KBqHJTCd\nK7D7y2C3rkO4chYQpGUTvPoW0NYMbNkNFhWnQJSEWAfXT4BfPAVeWz7ra1hIBNj2Z8A8PK0YGbEk\nmse3Y3np4QjxdcNvjt7EyIT1e6feM66fxttna3CxvANfzk9EWjSVThD5mAQBV6q68P6lOkV6Bj8s\nKsgT//hUFvw8ba9jxGIxxoCsdVCFRIKf/BB8eFDyGj42Av7Jn8FSssA2Pk6zxGTZEWeDj4NPjJl/\nAWNgqzaArckDU6mtGxyxqEWVSSwUlUnIq39kEv9x9CZau0eUDgUAkBrlh4Ob4hFjAxsMPIojPuqz\nZ5xzlDT04P3L9ejsV6ZV2sPWJgbjmzvSoHW27A9CW3pv8im9+Hi4vmrW1zB3T7Ate8CiYq0YGVGK\nLb0/5TCv2WBXN7DH983ampAow6plEsS2+Hm64F++sgb/daIC12uVWVj3oMrWflS29mNNYhCe2RCP\nEF9aUUuWpqZtAEcu1aOhc0jpUO7bvzEOe9eusLuFcgvFtDpg+zNgESvAL50Cn5bOxouzxO+ApWSD\nbdxGs8TEbs05G4y7m9Zs3Qvm5m7FyIicKBleJrTOanx3TwaigjzxweV6xWsoAeBGbTeK63uQlxaG\np9bHwsedfkCShWntGcH7l+pR1tyndCj3uemc8a0daVgZF6h0KFbDGANSs4GIGODsp+BtzWZfx6tK\ngZY6YP1WIDEdjNYQEDvBRwbF2eDmullfw7Q6sE1PAEkZy/5DsKOhZHgZYYxh95oYJIR543fHytA/\nYmZrSCszCRznytpxpaoTm9LCsHN1NAK8aG928miNXUP49HozShp6lA5lhrhQb3x3d4ZN7ihnDczT\nG3jq62CVJeCXPzc/SzwxDv75J2CVJUD+TrCAYAUiJWR+uHEavLgAvKQAeMTGMiwqDmzLbjB3WiS3\nHFEyvAzFh/ng/z6bizdOVKC0sVfpcAAABqOAMzfbcL6sHeuSQ7B7dQzC/OkRE/kC5xyVrQM4dqMJ\nVbeVbZNmzu41MXhmQ9yiN9JYLhhjQFoOEBn76Fnirnbww2+Apa8CW/cYlU4Qm8Ob68TSHzMLRO+h\n2WDHQMnwMuXuosE/7svG6dLbeO9CHaZNgtIhARBniq9UduJKZSeyYwOwZ+0KxIV6Kx0WUZAgcBQ3\n9ODYjSY037GNRaAP8nTV4Ds705EeQzuvPWg+s8TgHLysEKivBNZvAZIyqXSCKI4PDYhJ8CxbKd9D\ns8GOg5LhZYwxhidWRiE+1Bu/+7QM3UMTSoc0Q2ljL0obe5EU4Ytt2ZHIjg1w+Fk3RzI5ZURBdSdO\nl9xG14BtdId4WEqkL76zK53q3Wdxf5Y4Kh64cnrWjhN8cgL8zKdgZUVA7hYgcvkvPCS2h0+MgRdd\nBi8vMds/+x7m5gG28XEgPoXepw6CkmEHEBPshZ88m4s/nqlCQVWX0uFI1LQNoKZtAD7uWmzOjEBe\nehglH8tYe+8oztxqQ0FVJ/SG2X8gKUmtYngqNxZ7166ASkU/DOfCPDzBduwHT8kGv3gCfNB8yy3e\ne0fsOhEWBazfAha89N36CJkLN0yBl14DSq+Zf4Jxj0oFlrUWbPUmMI397apKFo/6DDuYkoYevHm6\n0iY2K5iNWsWQEx+ILZmRSIrwke2T+XLvlWlLjCYBxfXdOHuzDTXts9fn2YKoQA98a0caIgOVezRq\nz+9NbjIBt65DuHERmJ5+5GtZbBLYus1gvlSCYk/s5f3JjUagsgS88BL45KOfjLLwGLD87WC+AVaK\njsiB+gyTeVkZF4iEMG+8fbYGV6ttb5YYEOuKb9R240ZtN0L93LAxNQy5ySHw9aDZYnvCOUdb7yiu\nVnfhSlWnTX8AA8QPYU+uW4E9a1dQuc4SMLUaWLkeqoQ08Cufg9dVzvpa3lgD3lQLlpwFtmYTmIdt\nb9RD7AMXTEBtBfiNi+Ajj+5Nztw9xZKIuGQqiXBgNDPswOxhlvgexoDEcF+sTw7B6oQguOqclzym\nvcxu2Jv+kUlcre7C1eoutPfN3rjeltjCbPCDltN7k7e3gBecAe/ufPQLVSqwxDSwletpds7G2er7\nkxungeoy8NKrj+wQAQBwdgbLzgXLXkclEcsIzQyTBbOHWeJ7OP+itvitM9XIXBGA3JQQZMT4Q+NE\ne8IrbWzSgKL6blytvoOaNttrizYbmg2WHwuPBg7+LVhjDfi1c7PWE0MQwKvLwGvKwWISwFZtBAsK\ntWqsxD7xqSmgohj85vVH7hwHAFCpwdJXiu8vV2rvSUSUDDs4dxcN/tvuDKxNCsbbZ6rRZwMbdcxl\n2iSgqL4bRfXd0DipkRbth+y4QGTG+MPLjT7hW8udwXHcvNsRpL5j0CZ2PVyIuFBvfGNbss3MBi9n\njDEgLhlYkQBWXQZ+/QL4+Kj5F3MubonbVCvWceasByJi6BE2keATY+C3CoHyIvCpOX52MQaWkAa2\nNh/My8c6ARK7QckwAQBkxwYiJdIPx2404/iNZpvpSzwXg9GEkoYelDT0gDEgNsQb2bEByI4NRKif\nG/0AtSBB4GjsGkJJQy9KG3tsth3aXDxdNTiYl4CNKaHUKcLKmEotbuucmAZ2qxC8+Mojkxje3gze\n3izuYpexCohPA3NeeokUsW+89w54eRF4bQVgfPQiTeBuv+DczbQbIpkV1QwTie7BCfzpbDVuNfcp\nHcqS+HvqkBzph6QIHyRH+MLPc+YWurZa92YrBIGjs38M1W0DqGkbRG37AEYn5/7BY6tUjGFzZjj2\nb4yHmwVqzuXkKO9Nrp8UN+W4VQiun7sPOtPqgORMsPQcMG8/K0RIzFHi/cmN00BDNXh5Mfid9nl9\nD4uKA1u9ESxkYfWjxH4ttmaYkmFiFuccpY29eOdcDXqHJ5UOxyICvVyQFOGLpAhfJEf6Ij46DMDy\nTzjmSxA4ugbG7ya/4n/2nPw+KD7UG89uS0aUnZREOEoyfA+fNgCVpeCl18DH5rcLIYtcAZa+CoiO\nE2ecidVY8/3JRwbBK0qAypvz+sAExsDiU8SFmDQT7HBoAR2xKMYYVsYFIi3aD8e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5vF58fOkmfnWsFj2DQVppRKY2ODKOfz10Fb8914hn7luMrSsX8pifEJJ9PZCXzgHVlXPe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\ntI0pcwIpJWDqA7quA12dN/+U3Z1AZ4ctXDmqVPkOf49VERFlm1SQmgH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"text": [ - "" + "" ] } ], - "prompt_number": 21 + "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can compute the bearing between a sensor and the target as follows:" + "We can compute the bearing between a sensor and the target as follows:\n", + "\n", + " def bearing(sensor, target):\n", + " return math.atan2(target[1] - sensor[1], target[0] - sensor[0])" ] }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "def bearing(sensor, target_pos):\n", - " return math.atan2(target_pos[1] - sensor[1], target_pos[0] - sensor[0])" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 79 - }, { "cell_type": "markdown", "metadata": {}, "source": [ - "So our filter will need to receive a vector of 2 measurements during each update, one for each sensor. We can implement that as:" + "So our filter will need to receive a vector of 2 measurements during each update, one for each sensor. We can implement that as:\n", + "\n", + " def measurement(A_pos, B_pos, pos):\n", + " angle_a = bearing(A_pos, pos)\n", + " angle_b = bearing(B_pos, pos)\n", + " return [angle_a, angle_b]" ] }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "def measurement(A_pos, B_pos, pos):\n", - " angle_a = bearing(A_pos, pos)\n", - " angle_b = bearing(B_pos, pos)\n", - " return [angle_a, angle_b]" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 80 - }, { "cell_type": "markdown", "metadata": {}, @@ -1306,53 +1290,435 @@ " pos = (x[0], x[2])\n", " return measurement(sa_pos, sb_pos, pos)\n", "\n", - "def normalize(a):\n", - " if a > math.pi:\n", - " a -= math.pi*2\n", "\n", - " if a < -math.pi:\n", - " a += math.pi*2\n", - " return a\n", + "def moving_target_filter(std_noise):\n", + " f = UKF(dim_x=4, dim_z=2, dt=0.1, hx=hx, fx=fx, kappa=2.)\n", + " f.x = np.array([target_pos[0], 1., target_pos[1], 1.])\n", + "\n", + " Q = Q_discrete_white_noise(2, dt, 1.1)\n", + " f.Q[0:2,0:2] = Q\n", + " f.Q[2:4, 2:4] = Q\n", + "\n", + " f.R *= std_noise**2\n", + " f.P *= 1000\n", + " \n", + " return f\n", + "\n", + "\n", + "def plot_straight_line_target(f, std_noise):\n", + " xs = []\n", + " txs = []\n", + "\n", + " for i in range(300):\n", + " target_pos[0] += 1 + randn()*0.0001\n", + " target_pos[1] += 1 + randn()*0.0001\n", + " txs.append(target_pos.copy())\n", + "\n", + " z = measurement(sa_pos, sb_pos, target_pos)\n", + " z[0] += randn() * std_noise\n", + " z[1] += randn() * std_noise\n", + "\n", + " f.predict()\n", + " f.update(z)\n", + " xs.append(f.x)\n", + "\n", + " xs = np.asarray(xs)\n", + " txs = np.asarray(txs)\n", + "\n", + " plt.plot(xs[:,0], xs[:,2])\n", + " plt.plot(txs[:,0], txs[:,1])\n", + " plt.show()\n", + " \n", + " \n", + "np.random.seed(123)\n", "\n", "sa_pos = [-40, 0]\n", "sb_pos = [40, 0]\n", - "\n", - "dt = .1\n", "target_pos = [40, 20]\n", "\n", "std_noise = math.radians(1.)\n", + "f = moving_target_filter(std_noise)\n", + "plot_straight_line_target(f, std_noise)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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MSJ3bSTn55Vq+Mcvo8YAq41QjAMBjrd68X28v2qTrr4jUA3dulincLt/yi5Ty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\nXbMoogsAPAxHvAAv9tvNUdf/eLVe/eR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AAPgdl2a8Bg8eLH9/f5lMJplMJt19992SJIfD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\nluiQgCnNwkMAAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This looks quite good to me. There is a very large error at the beginning of the track, but the filter is able to settle down and start producing good data.\n", "\n", - "f = UKF(dim_x=4, dim_z=2, dt=dt, hx=hx, fx=fx, kappa=2.)\n", - "f.x = np.array([target_pos[0], 1., target_pos[1], 1.])\n", + "Let's revisit the nonlinearity of the angles. I will position the target between the two sensors with the same y-coordinate. This will cause a nonlinearity in the computation of the sigma means and the residuals." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "np.random.seed(12330)\n", + "target_pos = [0, 0]\n", + "f = moving_target_filter(std_noise)\n", + "plot_straight_line_target(f, std_noise)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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5eYqOjlZMTIzOnj0ri8WiiRMnln/dESNGqFWrVkpPT9eAAQM0YMCAipwXAGCQ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\n", + "text": [ + "" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we seed the random number generator just right we can get the filter to eventually lock onto the signal and converge to a solution, but of course this is untenable behavior for a real world filter. I will deal with this nonlinearity later; I bring it up now in case you are experimenting with the code above and you start to see this sort of behavior." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Exercise: Track a target moving in a circle\n", "\n", - "Q = Q_discrete_white_noise(2, dt, 1.1)\n", - "f.Q[0:2,0:2] = Q\n", - "f.Q[2:4, 2:4] = Q\n", + "Change the simulated target movement to move in a circle. Avoid angular nonlinearities by putting the sensors well outside the movement range of the target, and avoid the angles $0^\\circ$ and $180^\\circ$." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# your solution here" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 20 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Solution\n", "\n", - "f.R *= std_noise**2\n", - "f.P *= 1000\n", + "We have a few choices here. First, if we know the movement of the target we can design our filter's state transition function so that it correctly predicts the circular movement. For example, suppose we were tracking a boat race optically - we would want to take track shape into account with our filter. However, in this chapter we have not been talking about such constrained behavior, so I will not build knowledge of the movement into the filter. So my implementation looks like this." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def plot_circular_target(f, std_noise, target_pos):\n", + " xs = []\n", + " txs = []\n", + " radius = 100\n", + " for i in range(300):\n", + " target_pos[0] = math.cos(i/10)*radius + randn()*0.0001\n", + " target_pos[1] = math.sin(i/10)*radius + randn()*0.0001\n", + " txs.append(target_pos.copy())\n", "\n", - "xs = []\n", - "txs = []\n", + " z = measurement(sa_pos, sb_pos, target_pos)\n", + " z[0] += randn() * std_noise\n", + " z[1] += randn() * std_noise\n", "\n", - "for i in range(300):\n", - " target_pos[0] += 1 + randn()*0.0001\n", - " target_pos[1] += 1 + randn()*0.0001\n", - " txs.append(target_pos.copy())\n", + " f.predict()\n", + " f.update(z)\n", + " xs.append(f.x)\n", + "\n", + " xs = np.asarray(xs)\n", + " txs = np.asarray(txs)\n", + "\n", + " plt.plot(xs[:,0], xs[:,2])\n", + " plt.plot(txs[:,0], txs[:,1], linestyle='-.')\n", + " plt.axis('equal')\n", + " plt.show()\n", + "\n", + "sa_pos = [-240, 200]\n", + "sb_pos = [240, 200]\n", + "\n", + "np.random.seed(12283)\n", + "std_noise = math.radians(0.5)\n", + "target_pos = [0, 0]\n", + "f = moving_target_filter(std_noise)\n", + "plot_circular_target(f, std_noise, target_pos)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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le5m9bD/Ldybxwf296BbVqK6rV8WgDsFs+nACfZ5fZCrbd+IsgZO/Ie7b+3B2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2DBulgycovNEaqeQqGgX9hHhLh2ZWCjzyipyEGn05k1JiGE+C/SCo9x9NISAOIzV5ktjt93nyIj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\nEF8XPJ3tKK/UUFah4VJuidG8s/oejnSI9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+ "text": [ + "" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Discussion\n", + "\n", + "The filter tracks the movement of the target, but never really converges on the track. This is because the filter is modeling a constant velocity target, but the target is anything but constant velocity. As mentioned above we could model the circular behavior by defining the `fx()` function, but then we would have problems when the target is not moving in a circle. Instead, let's tell the filter we are fare less sure about our process model by making $\\mathbf{Q}$ much larger." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def circular_target_filter(std_noise):\n", + " f = UKF(dim_x=4, dim_z=2, dt=0.1, hx=hx, fx=fx, kappa=2.)\n", + " f.x = np.array([target_pos[0], 1., target_pos[1], 1.])\n", + "\n", + " Q = Q_discrete_white_noise(2, dt, 10.1)\n", + " f.Q[0:2,0:2] = Q\n", + " f.Q[2:4, 2:4] = Q\n", + "\n", + " f.R *= std_noise**2\n", + " f.P *= 1000\n", " \n", - " z = measurement(sa_pos, sb_pos, target_pos)\n", - " z[0] += randn() * std_noise\n", - " z[1] += randn() * std_noise\n", + " return f\n", "\n", - " f.predict()\n", - " f.update(z)\n", - " xs.append(f.x)\n", + "std_noise = math.radians(0.5)\n", + "cf = circular_target_filter(std_noise)\n", + "target_pos = [0, 0]\n", + "plot_circular_target(cf, std_noise, target_pos)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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2ujOAxIx8TqSUr+Y/smcor49oV+FJSoOiJ6/kHK529Vkc9YgxPdCtM+39Hpdg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OjYEJstbjESyoRVmzwg7IpDlOiNJmZ+sY35q6Ixm2t/MlOpUHK7773YadxZdfoxTuesZ2P8q7WW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\nA3H9cnJy+PTTT4mPj8ff35+ZM2fSsmXLm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+ "text": [ + "" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The convergence is not perfect, but it is far better. \n", "\n", - "xs = np.asarray(xs)\n", - "txs = np.asarray(txs)\n", + "###### Problem: Sensor Position Effects\n", "\n", - "plt.plot(xs[:,0], xs[:,2])\n", - "plt.plot(txs[:,0], txs[:,1])\n", + "Is the behavior of the filter invariant for any sensor position? Find a sensor position that produces bad filter behavior." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# your answer here" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 23 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Solution\n", + "\n", + "We have already discussed the problem of angles being modal, so causing that problem by putting the sensors at `y=0` would be a trivial solution. However, let's be more subtle than that. We want to create a situation where there are an infinite number of solutions for the sensor readings. We can achieve that whenever the target lies on the straight line between the two sensors. In that case there is no triangulation possible and there is no unique solution. My solution is as follows." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "std_noise = math.radians(0.5)\n", + "sa_pos = [-200,200]\n", + "sb_pos = [200,-200]\n", + "plt.scatter(*sa_pos, s=200)\n", + "plt.scatter(*sb_pos, s=200)\n", + "cf = circular_target_filter(std_noise)\n", + "target_pos = [0, 0]\n", + "plot_circular_target(cf, std_noise, target_pos)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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jy/H+Z8k4cjoCPafYAICf/+UA3v06B5vWzsOYiADfV5yI+oXBjGiAHThbigde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+ "text": [ + "" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I put the sensors at the upper left hand side and lower right hand side of the target's movement. We can see how the filter diverges when the target enters the region directly between the two sensors. The state transition always predicts that the target is moving in a straight line. When the target is between the two sensors this straight line movement is well described the bearing measurements from the two sensors so the filter estimate starts to approximate a straight line. \n", + "\n", + "\n", + "###### Exercise: Compute Position Errors\n", + "\n", + "The position errors of the filter vary depending on how far away the target is from a sensor. Write a function that computes the distance error due to a bearing error. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# your solution here" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 25 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Solution\n", + "\n", + "Basic trigonometry gives us this answer." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def distance_error(target_distance, angle_error):\n", + " x = 1-math.cos(angle_error)\n", + " y = math.sin(angle_error)\n", + " return target_distance*(x**2 + y**2)**.5\n", + "\n", + "d = distance_error(100, math.radians(1.))\n", + "print('\\n\\nError of 1 degree at 100km is {:.3}km'.format(d))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "\n", + "Error of 1 degree at 100km is 1.75km\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Discussion\n", + "\n", + "This is an inherent physical limitation that is extremely difficult to deal with when designing filters. We can see that a very small angular error translates into a very large distance error. What is worse, this behavior is nonlinear - the error in the *x-axis* vs the *y-axis* will vary depending on the actual bearing. For example, here is a scatter plot that shows the error distibution for a $1^\\circ$ standard deviation in bearing for a $30^\\circ$ bearing." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "d = 100\n", + "xs = []\n", + "ys = []\n", + "\n", + "for i in range (3000):\n", + " a = math.radians(30) + randn() * math.radians(1)\n", + " \n", + " xs.append(d*math.cos(a))\n", + " ys.append(d*math.sin(a))\n", + " \n", + "plt.scatter(xs, ys)\n", + "plt.show() " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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Sa6/ZdOKEWQsWnNILL9hVUeFQVZVV773HmSoASAQdKiBLDB5co0AgT5ddFtLN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\n", + "text": [ + "" + ] + } + ], + "prompt_number": 27 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Exercise: Explain Filter Performance\n", + "\n", + "We can see that for even very small angular errors the (x, y) positional errors are very large. Explain how we got such relatively good performance out of the UKF in the target tracking problems above. Answer this for the one sensor problem as well as the multiple sensor problem. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###### Solution\n", + "\n", + "> This is **very** important to understand. Try very hard to answer this before reading the answer below. If you cannot answer this you really need to revisit some of the earlier Kalman filter material in the Multidimensional Kalman filter chapter.\n", + "\n", + "There are several factors contributing to our success. First, let's consider the case of having only one sensor. Any single measurement has an extreme range of possible psoitions. But, our target is moving, and the UKF is taking that into account. Let's plot the results of several measurements taken in a row for a moving target to form an intuition." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pos = [5, 5]\n", + "for i in range(5):\n", + " pos[0] += 0.5\n", + " pos[1] += 1 \n", + " \n", + " actual_angle = math.atan2(pos[1], pos[0])\n", + " d = math.sqrt(pos[0]**2 + pos[1]**2)\n", + "\n", + " xs = []\n", + " ys = []\n", + "\n", + " for i in range (100):\n", + " a = actual_angle + randn() * math.radians(1)\n", + " xs.append(d*math.cos(a))\n", + " ys.append(d*math.sin(a))\n", + " plt.scatter(xs, ys)\n", + "\n", + "plt.axis('equal')\n", + "plt.plot([5.5, pos[0]], [6, pos[1]], c='g', linestyle='--')\n", "plt.show()" ], "language": "python", @@ -1361,13 +1727,149 @@ { "metadata": {}, "output_type": "display_data", - "png": 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EBXqZPaaItIArhnNtbS0vvPACGRkZVFZW0rdvX1588UWio6OpqanhpZdeIi0t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\nUFFRgTlz5uD48ePYvXu3mJsjIiIiIhKNrLy83C3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6s8/WaPjwGjNLBPB/2PQNIOEYhqH7Vt6n17e8rsZgo9nlhHQwOFVX21VU5Gq+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\nAZcAgNhAYEJMcbuDeuCBOpWWpuj6612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"text": [ - "" + "" ] } ], - "prompt_number": 98 + "prompt_number": 28 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that each individual measurement has a very large position error. However, when we plot successive measurements we suddenly have a clear trend - the target is obviously moving towards the upper right. When the Kalman filter (whether a linear KF, an EKF, or UKF) computes the Kalman gain it takes the distribution of errors into account by using the measurement function. In this example the error lies on an approximately $45^\\circ$ degree line, so the filter will discount errors in that direction. On the other hand, there is almost no error in measurement orthogonal to that, and again the Kalman gain will be taking that into account. The end result is the track can be computed even with this sort of noise distribution. Of course, this graph makes it look easy because we have computed 100 possible measurements for each position update and plotted them all. This makes it easy for us to see where the target is moving. In contrast, the Kalman filter only gets 1 measurement per update. Therefore the filter will not be able to generate as good a fit as the dotted green line implies. \n", + "\n", + "The next interaction we must think about is the fact that the bearing gives us no distance information. Suppose in the example above we told the filter that the initial position of the target was 1000km away from the sensor (vs the actual distance of 7.07 km), and that we were highly confident in that guess by setting $\\mathbf{P}$ very small. At that distance a $1^\\circ$ error translates into a positional error of 17.5 km. The KF would never be able to converge onto the actual target position because the filter is incorrectly very certain about its position estimates and because there is no distance information provided in the measurements." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's consider the effect of adding a second sensor. Again, I will start by plotting the measurements so we can form an intuition about the problem." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sin, cos, atan2, pi\n", + "\n", + "def isct(pa, pb, alpha, beta):\n", + " \"\"\" Returns the (x, y) intersections of points pa and pb\n", + " given the bearing ba for point pa and bearing bb for\n", + " point pb.\n", + " \"\"\"\n", + " \n", + " B = [pb[0] - pa[0], pb[1]- pa[1]]\n", + "\n", + " AB = math.sqrt((pa[0]-pb[0])**2 + (pa[1] - pb[1])**2) \n", + " \n", + " ab = atan2(B[1], B[0])\n", + " a = alpha - ab \n", + " b = pi - beta - ab\n", + " p = pi - b - a\n", + " \n", + " AP = (sin(b) / sin(p)) * AB\n", + " \n", + " x = cos(alpha) * AP + pa[0]\n", + " y = sin(alpha) * AP + pa[1]\n", + " return x, y\n", + "\n", + "\n", + "def plot_iscts(N=4):\n", + " for i in range(N):\n", + " pos[0] += 0.5\n", + " pos[1] += 1 \n", + "\n", + " actual_angle_a = math.atan2(pos[1]-sa[1], pos[0] - sa[0])\n", + " actual_angle_b = math.atan2(pos[1]-sb[1], pos[0] - sb[0])\n", + "\n", + " da = math.sqrt((sa[0]-pos[0])**2 + (sa[1]-pos[1])**2)\n", + " db = math.sqrt((sb[0]-pos[0])**2 + (sb[1]-pos[1])**2)\n", + "\n", + " xs, ys, xs_a, xs_b, ys_a, ys_b = [], [], [], [], [], []\n", + "\n", + " for i in range (300):\n", + " a_a = actual_angle_a + randn() * math.radians(1)\n", + " a_b = actual_angle_b + randn() * math.radians(1)\n", + "\n", + " x,y = isct(sa, sb, a_a, a_b)\n", + " xs.append(x)\n", + " ys.append(y)\n", + "\n", + " xs_a.append(da*math.cos(a_a)+sa[0])\n", + " ys_a.append(da*math.sin(a_a)+sa[1])\n", + "\n", + " xs_b.append(db*math.cos(a_b)+sb[0])\n", + " ys_b.append(db*math.sin(a_b)+sb[1])\n", + "\n", + " plt.scatter(xs, ys, c='r', marker='.')\n", + " plt.scatter(xs_a, ys_a)\n", + " plt.scatter(xs_b, ys_b)\n", + "\n", + " #plt.plot([5.5, pos[0]], [6, pos[1]], c='g', linestyle='--')\n", + " plt.axis('equal')\n", + " plt.show()\n", + "\n", + "pos = [4, 4]\n", + "sa = [0, 2]\n", + "sb = [8, 2]\n", + "\n", + "plt.scatter(*sa, s=100)\n", + "plt.scatter(*sb, s=100)\n", + "plot_iscts(N=4)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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OTFO69950LVyY3CsuL89WRYVHXwbP0zdusOXZuVP23n3kgObiuCtMHTp00Ny5c/X//t//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\nZcybNy/uvfferGfRTnv27IkPP/wwjh8/HuXl5TF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+ "text": [ + "" + ] + } + ], + "prompt_number": 29 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I placed the sensors nearly orthogonal to the target's initial position so we get theese lovely 'x' shape intersections. I then computed the (x, y) coordinate corresponding to the two noisy bearing measurements and plotted them with red dots to show the distribution of the noisy measurements in x and y. We can see how the errors in x and y change as the target moves by the shape the scattered red dots make - as the target gets further away from the sensors, but nearer the y coordinate of sensor B the shape becomes strongly elliptical.\n", + "\n", + "Next I will alter the starting positions and rerun the simulation. Here the shape of the errors in x and y changes radically as the target position changes relative to the two sensors. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sa = [3, 4]\n", + "sb = [3, 9]\n", + "pos= [4, 4]\n", + "\n", + "plt.scatter(*sa, s=100)\n", + "plt.scatter(*sb, s=100)\n", + "plot_iscts(N=5)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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DBiTCWDwOmvWRdtQlqxcZPLiVwYNbueyyxA623btVgyQiPZ+Tl0fo4otxLSs5K9M6ZgyR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\nszoHjQwAAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 30 }, { "cell_type": "markdown", diff --git a/code/book_format.py b/code/book_format.py index 18f64af..50120c9 100644 --- a/code/book_format.py +++ b/code/book_format.py @@ -1,6 +1,7 @@ # -*- coding: utf-8 -*- from IPython.core.display import HTML import matplotlib.pylab as pylab +import matplotlib.pyplot as plt def load_style(name='../styles/custom2.css'): styles = open(name, 'r').read() @@ -30,7 +31,7 @@ pylab.rcParams['xtick.minor.pad'] = 6 pylab.rcParams['xtick.color'] = '555555' pylab.rcParams['ytick.direction'] = 'in' pylab.rcParams['legend.fancybox'] = True -pylab.rcParams['figure.facecolor'] = '0.85' +pylab.rcParams['figure.facecolor'] = '1.0' pylab.rcParams['figure.edgecolor'] = '0.50' pylab.rcParams['figure.subplot.hspace'] = 0.5 pylab.rcParams['figure.figsize'] = 12,6 @@ -39,3 +40,10 @@ pylab.rcParams['grid.linestyle'] = 'solid' pylab.rcParams['grid.linewidth'] = 1.5 +def equal_axis(): + pylab.rcParams['figure.figsize'] = 10,10 + plt.axis('equal') + +def reset_axis(): + pylab.rcParams['figure.figsize'] = 12, 6 +