From d8df25fe7b6f903db044a29d42eb6f4ae4c81820 Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Fri, 22 Aug 2014 10:11:06 -0700 Subject: [PATCH] Symbology changes. Working on finalizing the symbology used in this book. Added appendix to document what other books in the field use for the Kalman filter equations. --- Appendix_Symbols_and_Notations.ipynb | 379 ++++++++++++++++++++++++++ Multidimensional_Kalman_Filters.ipynb | 94 ++++--- README.md | 3 +- mkf_internal.py | 22 +- toc.ipynb | 2 +- 5 files changed, 447 insertions(+), 53 deletions(-) create mode 100644 Appendix_Symbols_and_Notations.ipynb diff --git a/Appendix_Symbols_and_Notations.ipynb b/Appendix_Symbols_and_Notations.ipynb new file mode 100644 index 0000000..5fa8ea5 --- /dev/null +++ b/Appendix_Symbols_and_Notations.ipynb @@ -0,0 +1,379 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:a8b813a30b8d5fe32572b34d0caaf86174716f527fd81c8e83766fd8b0c6d59b" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#format the book\n", + "%matplotlib inline\n", + "from __future__ import division, print_function\n", + "import matplotlib.pyplot as plt\n", + "import book_format\n", + "book_format.load_style()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "html": [ + "\n", + "\n" + ], + "metadata": {}, + "output_type": "pyout", + "prompt_number": 3, + "text": [ + "" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Appendix I : Symbology" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is just notes at this point. \n", + "\n", + "### State\n", + "\n", + "$x$ (Brookner, Zarchan, Brown)\n", + "\n", + "$\\underline{x}$ Gelb)\n", + "\n", + "### State at step n\n", + "\n", + "$x_n$ (Brookner)\n", + "\n", + "$x_k$ (Brown, Zarchan)\n", + "\n", + "$\\underline{x}_k$ (Gelb)\n", + "\n", + "\n", + "\n", + "### Prediction\n", + "\n", + "$x^-$\n", + "\n", + "$x_{n,n-1}$ (Brookner) \n", + "\n", + "$x_{k+1,k}$\n", + "\n", + "\n", + "## measurement\n", + "\n", + "\n", + "$x^*$\n", + "\n", + "\n", + "\n", + "Y_n (Brookner)\n", + "\n", + "##control transition Matrix\n", + "\n", + "$G$ (Zarchan)\n", + "\n", + "\n", + "Not used (Brookner)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#Nomenclature\n", + "\n", + "\n", + "## Equations\n", + "### Brookner\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "X^*_{n+1,n} &= \\Phi X^*_{n,n} \\\\\n", + "X^*_{n,n} &= X^*_{n,n-1} +H_n(Y_n - MX^*_{n,n-1}) \\\\\n", + "H_n &= S^*_{n,n-1}M^T[R_n + MS^*_{n,n-1}M^T]^{-1} \\\\\n", + "S^*_{n,n-1} &= \\Phi S^*_{n-1,n-1}\\Phi^T + Q_n \\\\\n", + "S^*_{n-1,n-1} &= (I-H_{n-1}M)S^*_{n-1,n-2}\n", + "\\end{aligned}$$\n", + "\n", + "### Gelb\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "\\underline{\\hat{x}}_k(-) &= \\Phi_{k-1} \\underline{\\hat{x}}_{k-1}(+) \\\\\n", + "\\underline{\\hat{x}}_k(+) &= \\underline{\\hat{x}}_k(-) +K_k[Z_k - H_k\\underline{\\hat{x}}_k(-)] \\\\\n", + "K_k &= P_k(-)H_k^T[H_kP_k(-)H_k^T + R_k]^{-1}\\\\\n", + "P_k(+) &= \\Phi_{k-1} P_{k-1}(+)\\Phi_{k-1}^T + Q_{k-1} \\\\\n", + "P_k(-) &= (I-K_kH_k)P_k(-)\n", + "\\end{aligned}$$\n", + "\n", + "\n", + "### Brown\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "\\hat{x}^-_{k+1} &= \\phi_{k}\\hat{x}_{k} \\\\\n", + "\\hat{x}_k &= \\hat{x}^-_k +K_k[z_k - H_k\\hat{x}^-_k] \\\\\n", + "K_k &= P^-_kH_k^T[H_kP^-_kH_k^T + R_k]^{-1}\\\\\n", + "P^-_{k+1} &= \\phi_k P_k\\phi_k^T + Q_{k} \\\\\n", + "P_k &= (I-K_kH_k)P^-_k\n", + "\\end{aligned}$$\n", + "## \n", + "\n", + "### Zarchan\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "\\hat{x}_{k} &= \\Phi_{k}\\hat{x}_{k-1} + G_ku_{k-1} + K_k[z_k - H\\Phi_{k}\\hat{x}_{k-1} - HG_ku_{k-1} ] \\\\\n", + "M_{k} &= \\Phi_k P_{k-1}\\phi_k^T + Q_{k} \\\\\n", + "K_k &= M_kH^T[HM_kH^T + R_k]^{-1}\\\\\n", + "P_k &= (I-K_kH)M_k\n", + "\\end{aligned}$$\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Multidimensional_Kalman_Filters.ipynb b/Multidimensional_Kalman_Filters.ipynb index c4ab553..f2aaa1e 100644 --- a/Multidimensional_Kalman_Filters.ipynb +++ b/Multidimensional_Kalman_Filters.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:99942ebb1d4b6dc04d61b47c11a57a65226da104e0a39c0145852f6e09543967" + "signature": "sha256:2018504aed707108ce52dbe73eda7120be80a09fd1ca2e26123013828660bdc6" }, "nbformat": 3, "nbformat_minor": 0, @@ -248,13 +248,13 @@ ], "metadata": {}, "output_type": "pyout", - "prompt_number": 40, + "prompt_number": 2, "text": [ - "" + "" ] } ], - "prompt_number": 40 + "prompt_number": 2 }, { "cell_type": "heading", @@ -357,7 +357,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 2 + "prompt_number": 3 }, { "cell_type": "markdown", @@ -380,7 +380,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 3 + "prompt_number": 4 }, { "cell_type": "markdown", @@ -398,7 +398,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 4 + "prompt_number": 5 }, { "cell_type": "markdown", @@ -416,7 +416,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 5 + "prompt_number": 6 }, { "cell_type": "markdown", @@ -442,7 +442,7 @@ ] } ], - "prompt_number": 6 + "prompt_number": 7 }, { "cell_type": "markdown", @@ -471,7 +471,7 @@ ] } ], - "prompt_number": 7 + "prompt_number": 8 }, { "cell_type": "markdown", @@ -518,7 +518,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 8, + "prompt_number": 9, "text": [ "(-10, 20)" ] @@ -528,11 +528,11 @@ "output_type": "display_data", "png": 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ZvabmLeoS47hs1pl4ysUiAeVYZWvZV5amuZM49QEFV5UGiVWP8IMwsymlLenT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ssQj06eNEp04u0V1RDa6ZIqJg8ifn8M4UEanKyJEjcebMGVgsFkydOlV0d1Rr\n714zbDagTh1OpLSuR48sLF5s42SKiEiDuGZKo+3rtW3R7eu17WD64IMPsHHjRqxduxaxsbEBa0fr\n47l4sRU9ejhhMPz1M63HdCcyxvX3mDp0yML335tw7pwhl7+hDTIeK1H0fL7Ra+wcd23S9GSKiEiP\nUlIM2LLFgu7ds0R3hRQQGgp07pyFZcvk2YiCiEgvuGaKiPJFDWsYmG+yffyxFV9/bcGCBXygsSx+\n+MGE3r3DcfhwKoz8mlMV+QZgziHSCz5niohIRxYvtqFHD6fobpCC4uI8iIry4ZtvuJSZiEhLND2Z\nEl1fqdfaUo67/tqWkVbH88cfTbh82YgWLdy3/E6rMeVFxrj+GZPB8NdGFFom47ESRc/nG73GznHX\nJk1PpoiI9GbxYiueesoJk0l0T0hpXbtmYds2M65f1/5GFEREesE1U0SUL2pYw6D3fONwAA8+GI0d\nO9Jw991e0d2hAHjuuXA0aODG88/ru4xTDfkGYM4h0guumSIi0oFNmyyIjfVwIiWxHj2cWLLEKrob\nRESUT5qeTImur9RrbSnHXX9ty0iL47l2rRVdutx5O3QtxpQfMsZ1p5geesiN5GQjTp/W5ulZxmMl\nip7PN3qNneOuTdrM1kREOpOZCezebUGbNi7RXaEAMhqBtm1d2LDBIrorRESUD1wzRUT5ooY1DHrO\nN5s3W/DBBzZ88UW66K5QgO3YYcZ//xuKLVvSRHdFGDXkG0DfOYdIT7hmiohIchs3WtCuHe9K6UHT\npm6cPGlEcjJ39SMiUjtNT6ZE11fqtbaU466/tmWkpfF0u4GtWy1o3z73yZSWYioIGePKLSarFXj4\nYTc2b9ZeqZ+Mx0oUPZ9v9Bo7x12bND2ZIiLSg2+/NaNcOS/Kl+cufnrRvn0WNm7krn5ERGrHNVM6\n5/MBf/5pwMWLBly8aMTFi0YkJxtzXicnG5GeDrjdBng82d+QezyA2Zz9n8kEWCw+FCvmQ0yMF6VL\n3/jf7P9furQXMTFehIeLjpT8pYY1DHrNNyNGhKJYMR+GDXOI7goFSWoq8OCDRfDjj9cRFSW6N8Gn\nhnwD6DfnkDakpQGnT5tw+rQx539TUgzIzDTA6QQcDgMcDsDpNMDhMCAsLPsarVQpH0qV8ub8/7Jl\nvahVy63LXHODPznHrHBfSMUcDuDoURMSE0344QczEhNN+OknE0JDfYiJ8f3/BMiLmBgf7rnHi4YN\n3Shd2od8Tid1AAAgAElEQVSoKB9MJl/OBMpoRM7EyuXKnmhdvWrImYSdOWPEd9+Zc14nJxsREuJD\nbKwHcXEexMW5UbOmB/fc44WR90aJcuXzZT9fatkybjyhJ1FRQKNGbmzbZsETT3CtHJGe+XzAyZNG\n7NtnxqFD5pzJU3q6ARUrelCpkheVKnlRv74bxYv7EBLiQ0gIbvpfmw2w24FLl4y4dCn72iw52YgT\nJ7Kv244cMaNqVQ8aN3ajcWM3GjZ0o1gxv+636IamJ1MJCQmIj4/XZft5te3zAUlJJhw8+NfE6Zdf\nTKhcOXtCU7OmB88840T16h6EhSnb9u36cuWKAUeOZPdl3Torxo0zITXVgBo1svsSF+dGo0ZulC2b\n9z9cNY+7rG3LSCvj+eOPJpjNQPXqeZf4aSWmgpIxrvzE1K5dFjZtsmpqMiXjsRJFz+cbvcZ+o223\nOzv379tnzvkvMtKHRo3cqFfPjSef9KJSJQ/KlPHBUMB9au677/bnEqcTWLjwGNLTa2P+fBtefDEc\nlSplXyt265YV8Aoj0Z85f2h6MkU3cziAb74xY/NmK7ZutSAszIeGDd05E6cHHvAgJCT4/TIYgJIl\nfXj4YTceftid8/MrVwz44QcTEhPNWLvWimHDwlCxohdt2rjQtq0LDz7oKXCSIJLNhg3Zu/jx34L+\ntG3rwtixoXA6AZtNdG+IKJD++MOAjRsrYvr0CHz3nRlly3rRuLEbHTtmYdIkO8qVC+xdIpsNuP/+\na4iPd+CVV7Krj/bsMWPePBvefjsUTz2Vheeec+Luu7l295+4Zkrjrlwx4MsvLdiyxYLduy148EE3\n2rRxoU0bF6pW1dYH3uUC9u83Y8sWCzZvtsDlMqBt2yy0aeNCkyZuXkwIpoY1DHrMN02bRuK//7Wj\nYUOP6K6QAG3bRuKVVzLRqpU77z8sETXkG0CfOYeC57ffjPjiCwvWr7fi1CkjHnnElXPNU6KEekrs\nfv/diPnzbVi61IoGDdx4441MVKumrWvMvHDNlM7Y7cCaNVYsWWLFsWMmNG/uRrt2Lrz3nh3Fi6vn\nH19BWSzZz1dp2tSNCRMycfKkEVu2WDB1aihOnDCiVSs3nn3WiUaN3PyWnnTht9+MuHzZiHr1OJHS\nq3btsnf109tkikhWFy8asHatFatWWfH770Y8+qgLI0dmIj7eDYtKn4Zw991ejB+fieHDM7F4sQ0d\nOkRi4EAHBg1ywsyZhLa3Rhe9J32w2//lFyNGjQpFjRrRWLgwHUOGOHHyZAoWLMjAk09mBW0iFYy4\nDQagWjUvhg51YsuWNBw4kIq6dd14+eUw1Kplwvz5NqSmBrwbt+AzGOShhfHcuNGCNm1cMJny9+e1\nEFNhyBhXfmNq396FzZst8GhkPi3jsRJFz+cb2WL3eIAtWyzo2jUCjRpF4cgRE4YPz8TRoyl49107\nWrTInkipfdzDw4F+/ZzYuTMNu3db0KZNJE6cUGYqITp2f2h6MqUHbnf2BdXjj0egXbtIWK3Ajh1p\nGDPmO7Rp49JN6VvJkj706+fE/v2peOGFH/HNN2bExUXj1VdDcewYP8Ykp507LWjVSjubD5DyKlXy\nIjrah6NH8zmjJiLVuHbNgBkzbKhTJwrvvBOCxx/PwrFjKZgzx46WLdV7Jyov5ct7sXp1Ov79byce\nfTQSM2fa4NNuYZTfuGZKpVJTgblzQ7BggQ1ly3rRt68Tjz2WJWQDCbX64w8DPv3Uhk8/taFiRQ/6\n9XOiQwcXt1sPEDWsYdBTvnG5gMqViyAxMQVFi+r4LEV45ZUwVKniwYABTtFdCRo15BtAXzmHlPP9\n9ybMm2fDxo0WtG/vQt++TtSurZHbywV05owRzzwTjrp13ZgyJVOz12D+5ByNhiwvhwOYPduGevWi\n8csvRixenI6tW9PQrRsnUv9UtqwPr7/uQGJiCvr1c2L69BC0bBmJr75iAS9p3+HDJtxzj4cTKUKT\nJi7s2cO8RqRmLhfw2WdWtGwZid69w3HvvR4cOpSK2bPt0k6kAKBCBS/WrUvD8eMmDBgQppmSZCVp\nejIlur5SyfY9HmDJEivq1YvG3r1mrF2bhg8+sCMu7vafStnqif1p32IBOnZ0Yfv2NAwZ4sBrr4Wh\nc+cIHD6sfFmMnsddNmofzz17LIiPL9imA2qPqbBkjKsgMcXHu7F3r1kTFykyHitR9Hy+0VLsLhew\naJEV9etHYdkyK1591YHDh1Px0kvOAq9l1+q4R0UBK1ak4+JFI155JaxQJX+iY/eHpidTMvD5stdE\nxcdHYelSK+bNS8eSJRn5ekAn3cxoBDp1cmHv3lR07JiFnj0j0Lt3OH7+mR9z0p6EBHOBJ1Mkp5gY\nH0qV8uHHH7luikgt/j6JWr3aig8+yMDatekF2jRIJqGhwKJF6Th2zITx40NFdyeouGZKoP37TRg7\nNgx2OzBmTCZatuSW30qy24GPPrJh9uwQtG/vwogRmYiJYclUYalhDYNe8k1WFlClShEkJaUgOpqf\nWQJefTUU99zjxcCB+lg3pYZ8A+gn51D+uVzA8uVWvPtuCCpW9GL48Ew+B/Bv/vzTgIceisKMGRlo\n0UI7XwhyzZTGZGQAw4eHom/fCPTt68Tu3Wlo1YoTKaWFhQFDhzrx3XepiIz04aGHorBypUXXO86Q\nNhw+bELlyh5OpChHkyZuJCRw3RSRKLe7E7VmTTonUv9QtKgP77+fgZdeChPyCBsRND2ZEl1fWZj2\n9+wxo2nTKKSmGpCQkIpu3bIKtfOJluqJRbdftKgPb72VieXL0/Huu6Ho1SscycmFm7nqedxlo+bx\nTEiwoEmTgn+jp+aY/CFjXAWNqUkTN/btU/+6KRmPlSh6Pt+oKXafL/sZUY0aBX4SJcu4P/ywG//6\nlxtjxoQFvW0RND2Z0pIbd6NeeCEcEydm4oMP7NylK8hq1fLgq69Scd99Ht6lIlXL/tJFO+URFHil\nSvlQpowPR47ocDEGkSAnThjRpUsE3nwzFFOm2HknqgDGj7fjq6/M2LlT/jvqXDMVBHv2mDF4cBga\nNHBj4sRMTqJU4PvvTRg4MByVK3vwzjt2rqXKBzWsYdBDvnE6gapVi+DHH68jKkp0b0hNhg0LRYUK\nXgweLP+6KTXkG0AfOYdudf26AZMnh2DVquzd+fr0cWr2AbsiffWVGUOHhuHAgVRYraJ7kzuumVKp\nrCzg9dd5N0qN/nmX6osvmCVJHQ4fNqNqVQ8nUnSL+Hg3nzdFFEBuN/Dxx1Y0aBAFl8uAfftS0a8f\nJ1KF1aKFG5UqeaW/xtL0ZEp0fWVu7V+6ZEDHjpE4d86IhIRUtGnjClrbgabmcS8Imw0YPdqBZcvS\n8cYboXj77RB489iRXs/jLhu1juc335gLtV4KUG9M/pIxrsLE1LixG/v2WeBWcQWojMdKFD2fb0S0\n/803ZjRvHomFCzOxalU6pk2zo0SJ4H4BLuO4P/+8Ex99FCKk7WDR9GRKrY4cMaFly0g0berCp59m\n8G6UytWu7cH27WnYs8eMXr3CkZYmukekZ3v2mBEfr+yXLySHkiV9KFfOy3VTRAq6etWAfv3CMGhQ\nGF57zYEJE/bhwQe5LkopjzziwqVLBhw6JG/e4popha1ZY8Frr4Xhv/+1o1MnXhBpSVYW8NprYfju\nOzOWLk1HxYp8cPLfqWENg+z5xunMfr7U0aNcL0W3N3x4KMqV82LIELnXTakh3wDy5xy9W7fOgtdf\nD8Pjj2dh5MhMhIeL7pGcZs604ehRE/73P7vortyRPzmHxdcK8XqBSZNC8NlnVqxalY4aNfithtZY\nrcB779kxf74NbdpEYu7cDO6oRkF1/LgJd9/N9VJ0Z3XrerBpkwWA3JMpokC6dMmAYcPCcOKECQsX\npqN+fV6zBVLPnlmoVSsKyckGKTf8yrPMb9asWWjfvj3at2+PWbNmBaNP+Sa6vvJG+2lpQK9e4UhI\nsGD79rSgTKRYSx0YBgPw3HNOfPRRBp5/Phzz5tlu2j5dz+MuGzWOZ2KiCXFxhc8faoxJCTLGVdiY\natRwq7rMT2vHitc46ms7kO37fMDnn1vRtGkUKlf2YPfu1FsmUhx35RUp4sO//uXG9u133ohCdOz+\nyHUydfbsWaxbtw7r16/H2rVrsXbtWpw/fz5YfdOEK1cMePTRSBQr5sO6dWkoVUq+GbcePfSQG1u2\npOHjj214441QPo+KguLIETPvalOuqlTx4tIlI1JSCvfgcfoLr3H05fx5A556KhwzZtiwfHk6xoxx\nICTvfRFIIU2auLB3r5wFcblOpiIiImA2m+FwOOB0OmGxWBAZGRmsvuUpPj5eaPtVqzZFhw6RaNXK\nhenT7UHdQ19k7KLHPVjtV6zoxaZNadi/34xhw0Lh9ep73GWjxvHMvjNV+NJSNcakBBnjKmxMJhPw\nwAMeJCWp8+6Ulo4Vr3HU2bbS7ft8wKJFVjRvHoVatTzYuTMNtWrd+UsrjntgNGrkxr59d55MiY7d\nH7lOEYsWLYpevXqhefPm8Hq9GD58OKJYzA8g+xuOzp0j0a1bFl591SG6OxQgRYr4sHp1Grp3j8RL\nL4Xh/fftMKnzGoY0zuUCTpww4YEHeGeKchcX50Ziognx8VzT6Q9e48gvJcWAIUPC8OuvRqxdm878\nKlC1al6kpRlw/rwB5crJVe6T652pc+fOYfny5di5cye2bduG+fPn4/Lly8HqW55E1VeeP29Ahw6R\niI8/KWwixZre4ImKAlasSMOZM0Z065ae57OoAkX0uMtGbeP5889GlCvnhT9fjKstJqXIGJc/MdWo\n4VHtuiktHSte46izbaXaP3DAhGbNIlG6tBdffpmW74kUxz0wDIbc706Jjt0fud6ZOnLkCGJjYxER\nEQEAuP/++3Hs2DE0a9bspj83YMAAVKhQAQAQHR2N2NjYnNt1NwZHltfr1x/AyJGN8cILTtSqdQoJ\nCaeE9OcGEeORlJQk9HiIan/ZsnQ0berF00+nYunSKBiN4j+PgXydkJCApUuXAgAqVKiA1q1bgwIn\nMZHrpSh/4uI8mDmTiz38xWscdV5j+Nu+1wv88MPDmD07BM8/fwgNG15ESIj6rzEAICkpKajtBbv9\n0qV/wurVEejSJVpIfIG6xsn1OVNJSUkYPXo0VqxYAa/Xi44dO+KDDz5ApUqVcv6Mnp7BcOVK9h2p\nxx/PwrBhLO3To/R04IknIlGzphuTJ2fCoKM14Gp47ovM+eb117OfHzR4MLe8pty5XEDFikXw00/X\npX0uTjDyDa9x5HPpkgH9+4fDbjdg7tx03HWXXOVkWvf112a8804IvvgiXXRXbuFPzsm1zC82Nhat\nWrVC586d8cQTT6Bbt243JRk9SU8HunSJQPv2XCOlZxER2SV/Bw+aMXEivxkm5Rw54t+26KQfFgtQ\nrZoHP/6ozlI/reA1jlx27TKjRYso1K7txvr1aZxIqVCpUl4kJ+f5VCbNyTOiQYMGYePGjdi4cSP6\n9u0bjD7lW7DqK71eYMCAcDz4oAejRjly7kbota5WdF2r6NijooDPP0/HypVWrFx552cmBKJtUo6a\nxtPrBX780f8yPzXFpCQZ4/I3pux1U7lW6guhtWPFaxz1tV3Q9t1uYMKEEAwcGI45czIwapQDZj/+\naXDcAycmxodLl25f0iM6dn+oLxOr0NSpIbh0yYi5c9N0VdZFd1a8uA9LlqSjU6dIVK6cnus2q0R5\nOXXKiOLFvShShN+kUv7Exblx8CBP4aRvV68a8Oyz4bBYgK++SuWzPlWuSBEfMjMNcDgg1TO+cl0z\nlR+y1xOvW2fBG2+EYvt2PpCXbrVxowXDh4dh+/ZUlC4t9+cjWGumZs2ahc2bNwMA2rZti0GDBuX8\nTtZ8s2qVBV98YcXChRmiu0IacfiwCUOHhuHrr9NEdyUg1LBGE5A358jg6FETevQIR+fOWRg1ysHH\nlmhEbGw0Nm1KQ/nygrZGvoOArZnSu6QkE159NQyLFmVwIkW31b69C88840TPnhFwcCmd386ePYt1\n69Zh/fr1WLt2LdauXYvz58+L7lbAJSaauV6KCuT++z04dcrEvEO6tH69BZ06RWD06EyMGcOJlJbE\nxHhx8aJcZV6ankwFsr7y8mUDevQIx5Qp9jte5Oi1rlZ0XavaYn/1VQfuusuL//wnDL4AzrlFj3sw\nREREwGw2w+FwwOl0wmKxINKfBy/lQk3jeeSICTVq+P8AVjXFpCQZ4/I3ppAQoFIlD44fV9dVpIzH\nShS1nevU0L7XC0yZEoKRI8Pw+efpeOIJV9DaDga1jruSihXz4dq1W6cfomP3h6YnU4GSlQX07h2O\nbt2y8Pjjyv9DJbkYDMCsWRn48UcT5syxie6OphUtWhS9evVC8+bN0bx5c/Tp0wdRUVGiuxVwR4+a\n8v1ASaIbYmM9OHpUXZMpokDJyACefTYcO3ZYsH17Ktcqa5TbDVgsclV7cc3UbYweHYrTp41YvDgD\nRk43KZ/OnTOgVasofPJJOho2lC/JB2MNw7lz5zBw4EAsWbIELpcLTz31FBYtWoSSJUsCyM438+bN\nk+oBmunpZjz/fBucOXMde/aI7w9fa+f14MHJcDhMmDu3hCr6o/QDNLlmim44e9aIf/87HLGxHrz7\nrh02fm+pWe3bR2DUKAcaN/a/GkNJ/lzjcDL1D/v3m9CnTwS++SYVxYvLNXOmwNuwwYJx40Kxe3cq\nwsJE90ZZwZhMbdq0CXv37sWECRMAAK+88go6duyIZs2aAZAv3wDA99+b8NJL8m4kQIGzapUF69db\nsWCBfBuXcAMKumHvXjP69g3HkCEOvPiik7sqa9zDD0di6lQ76tRR15fOut2AQun6SrsdGDw4HFOn\n2vM1kdJrXa3oulY1x/7ooy7UrOnB22+HBr1tGZQvXx5JSUnIysqCw+HA0aNHA3ZBpZbxPH3aiEqV\nlNnVSC0xKU3GuJSIqXJlL06fVtdpXMZjJYqaz3XBan/1agt69w7H7NkZ6N8/OBMpjntgORwGhIbe\neo0tOnZ/8CEVf/P226GIi/Pg0Ue5TooKb/JkO5o2jUKHDllSlvsFUmxsLFq1aoXOnTsDALp164ZK\nlSoJ7lVgnTplQuXK/JxQwVWq5MGvv5rg84Hf1pN0PvrIhhkzQrB2bRruv19d22hT4TkckK5Mk2V+\n/4/lfaQkGcv91FB2I0u++bv+/cMQH+/Gv/+dJborpEH33huNr7+W7zl3asg3gJw5R+18PmDChBCs\nX2/FypXpqFCBEymZPPBANLZuTcVdd6krZ+m2zE8pBS3vI8pLIMv9SC6nTpkUK/Mj/alUyYvTp7mj\nH8nB7QaGDAnD7t0WbN6cxomUhDIyIM2XzDdoejKlVH1lYcv79FpXK7quVSuxT55sx5o1Vuzfr8yF\njuhxl41axjN7zZQyZX5qiUlpMsalVEyVK3tw6pR6TuUyHitRtHKuU4rdDvTsGY4LF4wYPvxLYV9u\n623cg9n+9esGeL0GFC0q15op9WRgQQ4dMmH1aiumTLGL7gpJpnhxH6ZOtWPIkHBksYKLbuP6dQOy\nsgwoVYp3xKlw7rnHi19/1f2pnDTuzz8NePzxSERH+7BsWTpCQ7mOVEanTxtxzz0e6dZ46nrNlM8H\ndOgQge7ds9CzJ692KTC6do3AI4+48NxzTtFd8Ysa1jBoOd/czuHDJrzyShh27eK26FQ4q1dbsG6d\nFQsXyrU9uhryDSBfzlGjc+cM6No1Ei1bujBuXCaf7ymxlSst2LjRik8+UV++4pqpQtq+3YzLl414\n6ilOpChw3ngjE9OmhSA9XXRPSG2yv6XjmgAqPDVuj06UX6dOGdGuXSSeftqJt97iREp2p0+bFCtr\nVxNNf2z9qa/0eoG33grFG29kwlzIDeL1Wlcruq5Va7HXqOFBfLwbH3wQEvS26c7UMJ6nTyu7Lboa\nYgoEGeNSKqZ77vHgt9+yt0dXAxmPlShaO9cV1M8/G/HYY5F49VUHBg++uXJD9tjV2HYw2s/tuYqi\nY/eHpidT/li92gKbDWjfns+UosAbMSITH35ow9WrkhUKk1+UfGAv6VNUFBAW5sPFi8wtpB0nThjR\nqVMkRo3KRK9erA7SC6W/QFQLXa6ZysoCGjaMwowZdsTHu0V3h3Ri2LBQWK3A229niu5KoahhDYMW\n801uWrWKxFtv2flwZ/JL27aRGD06E02ayHM+U0O+AeTLOWpw7JgRXbpE4s03M9GtGydSelKlSjT2\n7ElFTIxKbqX/DddMFdDChTZUruzlRIqC6tVXHVi+3IqzZ3X5z45u49dfeWeK/FepkofrpkgTjh0z\n4oknsr9E4kRKX86dM8BggJS712o6+xamvjI9HXj33RC88Yb/dwf0Wlcruq5Vq7HHxPjQp48TkycX\nbu2U6HGXjejxTEsDHA4DSpZU7sQiOqZAkTEuJWO6+24vzpxRx+lcxmMlilbPdXdy4kT2RGrCBDue\neCL3JRayxa6FtgPd/v79ZjRq5L7jtuiiY/eHOrJvEC1caEOjRm7UqMGyGgq+wYMd2LrVgt9/190/\nPfqHS5eMiInxSve8DQq+mBgvkpOZU0i9fvopeyI1blxmnhMpktPevRY0bixnRZiu1kx5vUD9+lGY\nMycD9etzMkVijBoVCpvNhzFjHKK7UiBqWMOgpXyTl337zBg/PhSbN/MZU+SfLVssWLDAiuXL1ffs\nlsJSQ74B5Mo5ovzyixEdO2av6+OjaPSrYcMofPRRhmpvZnDNVD599ZUZ4eE+1KunzgNJ+vDss04s\nWWKDU9vP8CU/JScbUKoU10uR/0qV8uLSJV2dzkkjzp0zoHPnSLz+OidSenb5sgEXLxrwwANyXn9r\nOvsWtL7y449t6NPHqVhZjV7rakXXtWo99ipVvHjgAQ+++MIa9LbpL6LH80aZn5JExxQoMsalZEyl\nSqmnzE/GYyWK1s91164Z8MQTkRgwwIGePQs2kdJ67FpsO5Dt799vRoMGHphMwW87GNSRfYPg7Fkj\n9u83o0sXfjNC4vXt68T8+TbR3SCBLl0ySLmrEQVfqVI+XLligJc3OkklMjKA7t0j0K6dC/37swxD\n7/buNaNxY3nXyulmzdSECSHIyDBg0iRtPuOH5OJ2A7VqRWPp0nTExmrjtrca1jBoJd/kx+DBYahX\nz80HVpIiqlSJxrffpqJ4cTkm6GrIN4BcOSdYXC6gR48IlCjhxaxZdm6yQ2jePBJTptjRoIF6r3e4\nZioPTieweHF2iR+RGpjNQO/eTnz8Me9O6VVyslGVDy4kbSpVyofkZF61klg+H/DSS2EAgPff50SK\ngIsXDfj9dyNq1VLvRMpfmp5M5be+csMGC6pX96BqVXnWJ+i1bdHtK9l2jx5OrF1rQWpq8Nsm8eOZ\nXeYnT04KJBnjUjomtWyPLuOxEkWL57px40Lxyy8mfPxxOiyW4LevBL22Haj2N2+2oFUrF6x5LBMX\nHbs/xGfeIFiyxIZevXhXitQlJsaH5s3dWLOmYBtRkBwuXTJyNz9SDHf0I9HmzLFh82YLli9PR3i4\n6N6QWqxfb8Wjj8q7XgrQwZqp1FTgwQeL4Nix64iIEN0boputWmXBypVWLFum/ufDqGENg9rzTX55\nPECZMkVw7tz1PL+tI8qPN94IRcmSXgwZIscXh2rIN4A8OSfQVqyw/v9z81Jx110sX6Zs168bEBcX\njWPHrqt+gs01U7nYscOCRo3cnEiRKrVs6caePRZkqH8uRQq6ds2A6GgfJ1KkGN6ZIlF27zZj9OhQ\nfP55GidSdJNNmyx46CGX6idS/tJ05s1PfeWWLRa0aROY3bL0Wlcruq5Vptijo32oXduN3bvzLi4X\nPe6yETme2SV+yl90yPoZkTEu5ddM+XDpkvjV/jIeK1G0cK779VcjXnghHPPnZ6B6deXKlrUQu2xt\nB6L9VausePzx/F2Di47dH5qeTOXF5QK2b7egdWu5azVJ29q0cWHzZj9W6pLmJCcrv/kE6RvvTFGw\npaYCTz8dgddecyA+3i26O6Qyly4ZcOiQCY88Iv81uNRrphISzBgzJhQ7d6aJ7grRHf32mxGPPBKJ\nY8dScn06uGhqWMOg5nxTEMuXW7Frlxn/+59ddFdIEsePG9GnTwT27cvn9qAqp4Z8A8iTc5Tm9QI9\neoSjdGkfpk3jFuh0q7lzbThwwISPPtLGeY5rpu5g82YL2rSRf0ZM2laxohclSvhw6JCKZ1KkqEuX\nDChRgmsLSDmlSqmjzI/0YeLEEKSkGDB5MidSdHuffWZFly76eCi9pidTudVX+nzZ66Xatg3cZEqv\ndbWi61pljL1t2yxs2ZJ7qZ/ocZeNyPFMS8vegEJpsn5GZIxL6ZgiI31ISzPAJ3iOLuOxEkWt57rV\nq7N3oV24MCNgm+ioNXaZ21ay/cOHTbh82YCHH85/+afo2P2h6clUbn75xQin04AHH5T3icskj0ce\nceHLL7luSi8yMgwID+edKVKO1QoYjUCWPr4IJkESE00YPjwMixdn8O463dH8+Tb06eNU9dIFJUm7\nZmr5ciu2bbNg/nzuOU3q53IB99xTBCdOqPd5aGpYw6DWfFNQL70Uhtq13XjmGV75knIqV47GgQOp\nKFZM+xe5asg3gDw5RwmXLhnw8MNRmDDBjo4duYSCbu/qVQPq1InCoUOpKF5cO7mIa6Zu44cfTIiL\n4+4ypA0WC1Ctmgc//qiTr3F0LiPDgIgI7ZxkSBvCw33IyOACFlJeVhbQq1cEnn7ayYkU5WrJEiva\ntXNpaiLlL01PpnKrr0xMNKNmzcCW+Om1rlZ0XausscfFefDDD2YhbeuRyPHMyEBAHmIo62dExrgC\nEVN4OJCervjbFoiMx0oUNZ3rxo0LRbFiXgwf7hDSfjDptW0l2vd4gI8/tuG555xBb1ukO1+5aZjH\nAxw9akJcHNdLkXbExbmxb5+U/yTpH7hmigKBd6YoELZutWD9egt2706DUdNfwVOgbd9uQYkSPtSu\nrQaOQogAACAASURBVK/rbynXTB0/bkTPnhE4eFCO522QPhw5YsILL4Rj/351fm7VsIZBjfmmMB5+\nOBL//a9ddyccCqxOnSLw8ssONGum/RJ3NeQbQJ6cU1jnz2evk1qwIB0NGzJfUe66do3A449n4amn\ntLcemGum/iEx0cy7UqQ51ap5cPasUXiZDgVeejrvTJHyeGeKlOR2A/36heP5552cSFGeTp0yIjHR\nhM6dtTeR8pemJ1N3qq8M1uYTeq2rFV3XKmvsVmvum1CIHnfZiF0zFZjJlKyfERnjCkRMYWEQPpmS\n8ViJIvpc9847ITCbgaFDg7NO6p/ti6LXtv1tf/r0EDz7rBMhIcFvWzQpF2gkJprRrl2m6G4QFVjN\nmtmbUPBbQLllZEC1W+CTdmXfmRLdC5JBUlJxLFxow1dfpermWUFUeL/9ZsSmTRbdLq+Rcs1U5crR\n2L8/FSVLsoyGtGXePBuOHTPh3XftortyCzWsYVBjvikonw+IiSmCc+euw2oV3RuSyahRoShTxotB\ngwq+k5baqCHfAHLknIK6csWA5s2j8P77GWjZUvvr7yjwhgwJQ5kyXowYEfy7mErxJ+dId2fK4che\nj6Cn/e1JHqVLe/HVV9L9s6S/ycoCjEZwIkWK45op8pfPBwwcGI4uXbI4kaJ80ftdKUDCNVOXLhlR\nqpQvKNt36rWuVnRdq8yxx8R4cfHi7T+8osddNqLGM5Dbosv6GZExrkDEFBEhfjIl47ESRcRYfvSR\nDdeuGdC8+fagt/13Mp/n1dp2Ydt/990Q9O3rRJEi/p3XRMfuD+m+Ar9wwYDSpb2iu0FUKGXK3Hky\nRXLgM6YoUMLDgd9/550pKpxffzXiv/8NwdatabhwgTmK8sa7UtmkWzP1xRcWrFhhxaJFXIVL2pOV\nBdx1VxFcuHBddYt+1bCGQW35pjCOHzeiT58I7Nun75MPKW/5cit27TLjf/9T35rLglJDvgHkyDn5\n4fVmP6esdWuXFGvuKDhkWCt1A9dM/U1yspF3pkizrFYgOtqHq1cNKFWK3wzKKDPTgNBQHltSXmio\nD3Y770xRwS1caEVmpgH9+3MiRfnDu1J/0XQ90e3qKy9eNCAmJjgXKnqtqxVd1yp77DExXiQn3/pP\nU/S4y0bUeHq9CNhdR1k/IzLGFYiYTKbsDQREkvFYiRKssTx3zoCJE0Mxc2ZGTm4SfRxlP8+rse2C\ntj91agj69PF/rVRh2lYbTU+mbufiRSNiYnhnirQrJsaHixf57bKsvF4EZYMc0h+jMfvzRZRfPh8w\ndGg4+vd3olo1fngofw4dMmHXLgsGD9Z+eZ8SNH1Kj4+Pv+VnFy8Gr8zvdu0Hi17bFt1+MNouXfr2\nm1CIHnfZiBpPrxcwBGiuLOtnRMa4AhGTGiZTMh4rUYIxlkuXWnHliuGWi2LRx1H287wa285v+14v\n8PrrYRg9OhORkcFtW61yXTP1zTffYNq0aTmvf/nlF6xcuRLVqlULeMcKy243IDKS6xFIuyIj9bvu\nQYs5p6B8PgOMRuYoUp7R6IPXq8/cURh6yDe5uXDBgDffDMXq1emwWET3hrRi5UorvF7gySezRHdF\nNXK9M9W0aVOsXbsWa9euxdy5c1GuXDlVJZnb1Ve63YFbj5Cf9oNFr22Lbj8YbZtMgMslpm3Rgplz\nRK6ZClSZn6yfERnjCkRMBoP4O1NaOlZavMZRis8H/Oc/YXj2WSdiYz1BbTs/ZD/Pq7Ht/LSfng6M\nGxeKSZPsip/HRMfuj3wPxcaNG9GmTZtA9kURHg9glm6PQnVJSiouugtSs1iyP8d6p5WcU1BcM1Vw\nzDn5o4YyP62SNd/cyaZNFpw+bcJ//sM1L//EfHNn06eHoGlTF+rX50XK3+X7lL5+/Xq0a9cukH0p\nsNvVV7rdwZtM6bWuNiWllrC2AfnH3Wz2we2+tVRHy/XEhRHonCNyzVSgJlOyfkZE55xA4JopddHK\nNY4SHA7gjTdCMXmyHTZbcNvOL71e46h53H/7zYhPPrFhzJjMoLetdvmadpw+fRoOhwP33XffbX8/\nYMAAVKhQAQAQHR2N2NjYnEG5cdsuWK/T0uz44YfDiI2NE9K+zK8TEsxYuvQPLF/+1+cgOvp7xMZe\nVUX/ZHl97tx9qFSpvPD+JCQkYOnSpQCAChUqoHXr1giW3HKOmvJNYV4nJZUAUFc1/VHr6xv5BkBO\nzmG+yf310aM/4s8/q+DGqV10f2TIN4D2c84/X69cWQX33x+O5s3dquiPWl7/8xonPt4NYJdq+if6\n9ZgxoWjX7iecPv0zypYV3x9/XyuZcwwnT57McyX0jBkzYDKZMHDgwFt+J/Lp4AkJCTkDdEOzZpGY\nMcOOuLjA34K8XfvBIrLtAQMuYc6cUkLaBuQf9/HjQxAZCbz88s3lFyLjBvx7OnhB3SnnKJlvRI3n\n11+bMW1aCNatS1f8vUV/RgJFdM4JhEAcq507zZg1KwSrVyv/2covpeJSQ74B1HeN468LFwxo2jQK\n27al4Z577nwbU3Qu0es1jlrH/euvzRgyJAz79qUiNDS4bQeLPzknX8UmGzduRPv27QvVQLCZzdml\nfkRa5XYbYDLpe7c3LeWcglJDKRbJievxCkfmfPNPEyaEolcvZ64TKaK/cziAYcPCMGFCZsAmUlpn\nzusPJCYmIjw8HBUrVgxCdwrmdjPYYE6mRM6gRbb99NNlAYibsco+7i7X7df9yXjH4XaClXNEjWcg\nJ1OyfkZE55xACMSx8vnET6a09hnU2jWOPw4ezH7Q6v79KUFvu6D0eo2jxnGfOjUE1at78Oijt9lm\nOMBta0Wek6m4uDisXr06GH1RhNnsg8vF52wEUnYdMQWK2w1dP/NDazmnoPgsoIJjzskfr5fPMCso\n2fPNDV4vMGKE8g9alRHzzV++/96EpUtt+PrrVNFdUTVNFwTcWEj2d8WL+3D1anAuVG7XfrDotW3R\n7Qej7StXjChW7NZbF6LHXTaixtNgyL6DEAiyfkZkjCsQMamhzE/GYyWKkmO5YoUVPh/QvXv+HrQq\n+jjKfp5XY9v/bD8rCxg0KBwTJthRqlTgv6QRHbs/8rwzpTWlS3tx8aKm54ikcxcvGlGmDL9dlhXX\nTFGgqGEyReqTkQGMHx+KBQvS+fmgfHv33RDcfbcHTzwR2PI+GeRrN7/ciNzp5namTQtBRgYwZgwf\nREfaVLt2FFasSEflyuq64g7m7lp3orZ8UxiHDpkwfHgYtm9PE90Vksz69RasWGHFp59miO6K39SQ\nbwA5cs6MGTb88IMZH3+s/c8FBcfRoyZ07hyBXbtSUbasPr7cDfhuflrCO1OkZT5f9p2pmBh1TaRI\nORZL9iYjREpzuQCTSXQvSE0yMoA5c0IwbFhgHrRK8nG7gUGDwjBmTKZuJlL+0vSs43b1lTExwZtM\n6bWuVnRdq8yxp6YaYDYDERHBb1tvRI1nWJgPdntg1nXK+hmRMa5AxJSRYUBEhNiLHxmPlShKjOX8\n+TY0aeJG9eoF+4JO9HGU+Tyv1rZvtD9rlg1Fi/rw73/nb32dkm1rlXRrpsqU8SE5WdNzRNKxixcN\nKF2ad6VkFh7uQ0YGd/Mj5WVkGBAezm+SKduNu1Jr1rCkmPLnzJkIzJ4dgp0702DgaSrfpFszdeWK\nAQ0aROHUqbyfo0CkNrt3m/HOOyFYvz5ddFduoYY1DGrLN4WRmgo8+GARnDlzXXRXSDLTpoUgMxMY\nPVr7a4bVkG8AbeccrpWigsjMBFq2jMKLLzrQs2dw70qpgT85R7o7U8WKZX/r63QCNpvo3hAVTHKy\nEaVL85tlmYWHA3Z79vo4fvNHSsrIAJ8hRAD+uiu1ejXvSlH+jBoVhvvv96BHD/1NpPyl6Xq429VX\nGo1AmTJenD0b+ND0Wlcruq5V5tjPnDGiXLnbl/mJHnfZiBpPkyn7i57MAKwHl/UzImNcgVozJbrM\nT8ZjJYo/Yzl/vg2NG7tx//2FKxsXfRxlPs+rse21ay3YvduMrl13CPuST/Rnzh+ankzdSWysB4mJ\n3NKItOfIERNiY/n0ddlx3RQFQnq6+MkUiXfjrtSrr3IHP8rb778b8dprYZg3LwNhYbz+KAzp1kwB\n2Q8au37dgPHjmUhIW2rUiMKaNep7xhSgjjUMasw3hVGrVvZxrlhRfceZtKt373B06pSFTp20v/e+\nGvINoM2cM2eODQcOmPHJJ1wrRblzuYC2bSPxf+3deXxU1fk/8M/sk0wmYZGwaWRTQCEBflUUomiB\nEMBQCW6AYkEURakoiLII0gKCVguofBWVKrsg+764AEFAFIhUiiKhIIoE2TLZZv/9kYJVs8xk7sy5\n597P+/Xqq41Oc85z7uTc+9x7nnOzsz0YOtQtujtC8T1Tv5GW5sOBA3wyRXI5e9aAggIDGjfmBbbW\n8ckURYMalvmRWIFA2RK/oUPl34SEom/SpDjUqRPAY4/pO5GKlNTJVEXrK9u08SM314xAlK9J9biu\nVnTbotuPZtsHDpiQmuqHsYK/StHjrjUix9PhAAqjsGGjVr8jWowrOjVT5b+jLpa0eKxEqc5YfvSR\nGYmJQfzhD/6Yt60krZ7n1dT21q1mLFtmxeuvF1+uk9JL7EqTOpmqSO3aQSQlBXDsmCbDI43KzTUj\nLS2yEyDJgU+mKBr4ZIreeceOwYPd3CmUKnXqlAHDhjnw1ltFqF2bc0akNFkzBQADBjjwpz950KeP\n/GvHSR/U/p1VQw2DWuebcA0Y4MDdd3uQlaXOY01y+sMfEvHBB+qsuQyXGuYbQK455z//MaJrVye+\n+uoi4uJE94bUyuMBevdOwK23+vDss1wOeglrpsqRlla21I9IFgcOmPhkSif4ZIqigU+m9G3OHBv6\n9vUwkaIKBYPAs8/Go2bNIJ55homUUqROpipbX9mmjQ/790d3Ewq9ri0Vva5Vi7H//LMBFy8a0aRJ\nxXeURY+71oitmYpOMqXV74gW4+J7pqgq4YxlSQmwaJEVgwYps5GA6OOoxfO8GtqeM8eGPXvM+L//\nKyq3PlvLsUeTZh/d3HCDD7m5ZrhcfCM8qd+nn5rRoYO3ws0nSFuitQEF6VcgABQXA/HxontCIixf\nbkW7dn6+boEqtGOHGS+/bMeGDS5eFytMszVTANCnTwIefNCNXr1Yl0Dq9tBDDnTq5MWAAR7RXamQ\nGmoY1DzfhOOll+zweoGxY7nMgpRRVARce20N/PDDBdFdUYQa5htAjjknGAT++EcnxowpQdeufOkq\n/d5//mNEZqYTs2cX4dZb+R0pD2umKpCZ6cWmTRbR3SCqlMcDfPyxGRkZTPr1ombNIM6fZ80UKef8\neQNq1mS9lB4dOmTC2bMGdO7Mi2T6PZcL6N8/ASNGlDKRihKpk6mq1ldmZnqxebMF/ijV9Ot1bano\nda1ai33XLjOaNg2gXr3KL4REj7vWiBzP5OQA8vOVn361+h3RYlxKx3T6tBF164pf4qXFYyVKqGO5\nbJkF2dnKLhMXfRy1dp4X1XYgAAwd6sAf/uDD4MFV19NpKfZYkjqZqspVVwVQv34Ae/dGdyMKokhs\n2GBB9+58KqUndesGcPq0pqdfirH8fCOSk8UnUxRbwWBZvVSfPupdIk7iTJ1qx9mzBrz8cjHfPRZF\nmq6ZAoApU+xwuw2YOLFEdFeIficYBNq2TcTChYW47jp1XwipoYZB7fNNqPLyjOjTJwH79xeI7gpp\nxHvvWbF/vxkzZhSL7ooi1DDfAOqfcz7/3IRhwxzYvbuAF8v0K8uWWTBxYhw++siFOnW4BLgqrJmq\nRPfuXmzcyLopUqd//7vsT7BlS3UnUqSsS8v8gjy/kULy89WxzI9ia+VKK7KzPUyk6Fe2bTNj9Oh4\nLFpUxEQqBqROpkJZX5mW5kdhoQHffaet+gS9ti26faXb3rjRisxMb0gnQtHjrjUixzMhATCZygqD\nlaTV74gW44pOzZT4iyYtHitRqhrLYBBYu9aCrCzll/iJPo5aOs/Huu3cXBMeftiBf/6zCNdfH96m\nAbLHLorUyVQojEbgjjs8WLLEKrorRL8SDAJLlli5db9ORWsTCtKn/HwDa6Z0JjfXBKuVKxvoF8eO\nGdG3bwJeeaUYHTty575Y0XzNFFC2lKpPHydycy/CwhV/pBI5OWY880w8PvtMjrXuaqhhkGG+CVWP\nHgkYN64UHTrwhEeRy8hw4m9/K0b79lHavjbG1DDfAOqecyZPtsPrNeCFF1gTTmU3VLp3d+KJJ0ox\ncCA3JAkXa6aq0LJlAE2b+rFuHTMpUo9337XhoYfcUiRSpLzk5CBOn+bBJ2Xk5xtUscyPYmfDBgt6\n9OBFMwEFBcA99yTgnns8TKQEkDqZCmd95aBBbsyZYxPWvtL02rbo9pVq+9QpAz791Ix77qn6vQ9K\nt01lRI9n3brKL/MTHVO0aDEuJWMKBss2oKhTR/xyLy0eK1EqG8tz5ww4ccKEdu2i8yRS9HHUwnk+\nVm273cCAAQn4f//Pj1GjSmPevlJEf+ciIXUyFY6ePb04csSEw4d1EzKp2Lx5NmRne5GYKLonJAqf\nTJFSXC7AbAYcDtE9oVjZvduMG27wwWwW3RMSKRAAHnvMgcTEIF56ie+SEkUXNVOXTJlix8WLBkyb\nxvXFJI7XC7Rpk4QlSwrD3mlHJDXUMMg031Rl3jwrdu824403tPFeIBLnyBEj+vVLwN692nlvmRrm\nG0C9c87zz8ehRo0gRoyI7EkEySsYBJ59Ng6HDpnw4YeFsNtF90hurJkK0YMPurF0qRWFhaJ7Qnq2\ncaMFV1/tlyqRIuXVq8fd/EgZZduii1/iR7Gza5eZm9foWDAIjB8fh717zViwoIiJlGBSn8nDXV/Z\nsGEQ6ek+LF2qzDbpel1bKnpdq+yxz5lTtvGEiLbpF6LHMzk5iPx8ZddkiI4pWrQYl5IxnT5tQHKy\nOjaf0OKxEqWisXS5gG++MaFt2+glU6KPo+zn+Wi2HQwCf/1rHLZvN2P58kIkJSn3t6/22NVK6mSq\nOh591I3XXrPDw81OSIC9e004csSEO+7gu6X0ju+ZIqXk5xv5jikd2bvXjLQ0H59G6NSUKXZs2VKW\nSNWsqY6bKHqnq5qpS+66KwGZmV4MHhz+0wGi6goGgV69yrYufeAB+bJ5NdQwyDjfVMTnA668sgZO\nnLgAK98pThEYPz4OtWsH8OST2jmnqWG+AdQ550yeXJZFjR3Leim9mTbNjlWrrFi92oUrrmAipSTW\nTIVp/PgSvPKKnbVTFFMffWRGfr4RffvKl0iR8sxmoGHDAI4f1+U0TArKyzOicWM+mdKLvXvNuPFG\n1kvpSTBY9kRq5UorVq5kIqU2Up/Fq7u+MjXVj44dfXjzzcieket1banoda0yxh4IlK1xHjeupNpb\n2Yoed61Rw3g2bhxAXp5Jsd+nhpiiQYtxKRlTXp4JTZqoI5nS4rESpaKx/O47E5o3j+7xFn0cZTzP\nR6vtYBD429/sWL/egtWrXVGtj1Rb7LKQOpmKxJgxJXjzTRvOnuWm/BR9K1ZYYLWCtVL0K02b+pGX\np9tpmBQQCADHjxvRuDF3B9WD4uKyF/Y2bKiO5JmiKxgEJkyIw9atFqxaVYg6dfhESo10WTN1yciR\ncbDbgUmT+N4pih6PB7jppkTMmFGMW26Rd2mGGmoYZJ5vyvPWWzZ8950RL7/MOYiq5+RJA7p1S8TX\nX18U3RVFqWG+AdQ35xw6ZMTAgQnYs0c77xSj8gUCwJgxcdizh5tNxAJrpqpp5MhSLFpkxcmTfDpF\n0TN3rg1NmgSkTqQoOpo08ePoUeWW+ZH+5OWZ+FRKR/LyTGjalMdb6zweYMgQB776yoQVK5hIqZ3U\nyVSk6yvr1Qti4EA3Jk+OE9J+JPTatuj2w227oAB45RU7xo+P/MmD6HHXGjWMZ5MmARw7ptw0rIaY\nokGLcSkVU16eUTX1UoA2j5Uo5Y1lrDYbEX0cZTrPK922ywXcd18CSkqAZcsKUaNG7BIp0bHLSupk\nSglPPlmKzz4zY+vWau4KQFSJcePi0b27F6mpvJNIv5eSEsBPPxn53juqtqNH+aRCT3i8te3CBSv+\n9CcnUlICeO+9IsRV714/xZiua6Yu+fRTM4YNc2DnzotITBTdG9KKrVvNGDkyHjt2FMDpFN2byKmh\nhkEL881v/eEPiVi4sBDXXquepwskj/vvd+Deez3IytLW5jZqmG8A9c05vXol4OmnS3HbbVw2rjXH\njxvRp08CsrM9GD26FAZWoMQUa6YidNttPnTt6sW4cfGiu0IaUVAAPPWUAzNmFGsikaLoUXp7dNKX\no0fVsy06Rd/PPxuRnMzjrTUHD5rQo4cTjz7qxpgxTKRkI3UypeT6yokTi7FtW3jL/fS6tlT0ulYZ\nYh83Lh5du3rRqZNydw9Fj3us5ObmIisrCz169MDw4cOj1o5axlPJ7dHVEpPStBiXEjGpcVt0LR4r\nUcobS7cbsEf2isxqtx1LMpznlWvPjD59EjB5cjFatPgopm3/vi/6GXclsVDov5xOYMaMYi73o4ht\n3WrG9u1m7NjBrWvDFQgEMGrUKLz44oto164dzp8/L7pLUdekSQDffiv1fS0S5McfDahZM4h4LqrQ\njdJSA2w27uymFatWWfDMM/F4990i3HKLDxLnE7rGmqnfePrpePh8wMyZxaK7QhIqKAA6dkzC668X\nKfpUSg1iUcPw1Vdf4cUXX8SiRYvK/fdam28AYMsWM2bNsmPFikLRXSHJbNtmxt//bseaNdr77rBm\nqnxNmybh888LULs2EyqZBYPAq6/aMWeODYsWFXKTKhVgzZSCLi3327KFD+0ofGPHKr+8T09OnToF\np9OJwYMHo3fv3li4cKHoLkVd06YBxZb5kb6obVt0ij632wC7nYmUzIqKgIcecmDDBgu2bi1gIqUB\nUp/Bo7G+0ukEZs0qW+5X1ftf9Lq2VPS6VrXG/v77Vnz+uRkTJ0bnqabocY8Ft9uNffv2YdKkSZg3\nbx7ef/99fP/991FpSy3jmZISwOnTRrjdkf8utcSkNC3GpURManyBqxaPlSi/HctgECgpYc2UzG2f\nPGlAjx5O2GxBrF3rQv36v06MOe5y4uOXcnTs6MMzz5Sif/8EbNqkjW2tKbp27zZhypQ4rFvn4vcl\nAnXq1EGzZs1Qr149AECrVq2Ql5f3q0fvQ4cORUpKCgAgKSkJrVu3Rnp6OoBfJmPZfr766h44etSI\nc+e2R/T7Dh48qIp4lP75ErX0Ry0/79lzERkZJwA0U0V/cnJycPDgwWr9/3Nyci4/iU5JSUFGRgbo\n17xewGwGTNz8U0q7d5swaFAChg4txeOPu7ljn4awZqoCwWBZ/VR+vgHz5hXBKPUzPIqmkycNyMhI\nxGuvFaFzZ+0u74tFDYPL5ULPnj2xZs0axMXFoU+fPpg5cyYaN24MQLvzzeDBDnTp4sV99/HtvRS6\n665LwubNBbjySu0t+2LN1O/5/UD9+jXw448XYOatcKnMnWvFpElxmDWrCF26aPc6QWasmYoCgwGY\nNq0YFy4Y8OKLMXimTlIqKgL690/AE0+UajqRihWn04kxY8bgwQcfRHZ2Nu64447LiZSWpab6kJvL\n280Uup9+MsDjARo21F4iReUzmYBatYL4+Wc+0pCF1ws891wcXn/djnXrXEykNErqZCra6yutVuD9\n94uwdKkVy5dbYt5+ZfTatuj2/7ftYBB4/HEHWrXy47HHFCh4CaNtLcvMzMTKlSuxdu1aDBkyJGrt\nqGk809L8+OqryJMpNcWkJC3GFWlMBw+akJrqV91SIS0eK1HKG8vk5ADy86N/6Sb6OKrlPB+Js2cN\nuPvuBBw9asKWLS5cc03Vm8Vw3OUkdTIVC1dcEcT8+UV49tl4HDjAO8f0i7//3Y4ffzTilVeKVXdB\nQ3JJTfXj4EEzAtyYjUJ04IAZaWnq2nyCoi85OYjTp3nCUbucHDNuvTURbdv6sXhxIZKS+ARZy6qs\nmcrNzcW4cePg9/tx7bXXYvr06b/692paTxxNq1dbMHZsPDZs0Ob6dArPihUWPP98PLZuLUC9evr4\nPqihhkHL802bNon48MNCNGvGjIqq9sADDmRne9C7t1d0V6IiVvONbNc4jz8ejw4dfOjfn/WVauT3\nAy+9ZMfcuTa89hrro2QSyZxTaQljIBDAqFGj8OKLL6Jdu3Y4f/58tRrRgl69vPj++1L07u3EmjUu\n3VxA0+9t3GjBc8/FY9myQn4PSDGpqX7k5pqYTFFIcnNNmDiRT6YiIeM1TnJyMCbL/Ch8P/xgwJAh\nDpjNwCef6OdGK1WxzO9f//oXatWqdfmuTM2aNWPSqVDFen3l44+7cd99Htx5pxNnzhh0u7ZU9LpW\nke3PnPkN/vKXeCxaVIhWrWJ7ISN63LVGbeNZVjcV2RZdaotJKVqMK5KYzp414OJFIxo1Ul/iLdOx\nkvEap169AE6eZM2U2tretMmCzp0TcfvtvohutHLc5VTpX+SpU6fgdDoxePBg9O7d+/I7IPRsxIhS\nZGV5kJ2dgIICq+juUAxt327Gq6+2xdy5hWjXjneESVmpqT5FNqEg7fvqKxNSU318ZUeEZLzGadfO\nh717OU+ohccDjBkTh2eeicN77xVixIhSvgdMhyq9Dep2u7Fv3z6sXbsWCQkJ6NOnD2655ZbfrSkU\n9RLNSy/6i9bvr+jnW28FfL6umDKlM/z+j1Czpkc1L3HUy0s0Y92+230bHn3UgWef3Q2f7yyA2I9/\nrL/vWn+J5qWY1SItrWyZXzCIam9ooraYlKLFuCKJqSyZUucNHZmOlYzXOIWF23H0aCYuXDCgRo2g\naq4JtPbzJZV9/tgxI+69N4grrjiPbdviULNm5Mfj0j8TFb/I9mW+xql0A4pdu3ZhxowZWLx4MQBg\nxIgR6NWrFzp16nT5M2orzoyVYBCYNs2OFSusWLHChQYNuDZWqzZssODJJ+Mxb14h2rdX5wVMF8In\nRwAAIABJREFULHADiui7/vokbNjgQkqK+pZvkXoMGuRAZqYX99yj3U0IYjHfyHqN07t3Ah591I1u\n3bS5+YjaBQLAu+/aMG2aHaNGleLhh93c0VcDovbS3latWuHHH3/ExYsX4fF48O23316+O6MGItdX\nGgxAevpW9O3rRlaWE8ePx3a9hZ7Xtcay/eXLLXjqqXh88EFZIqXncdcaNY5npC/vVWNMStBiXJHE\ndGmZnxrJdKxkvcbp0MGHnTsrXVgUtbZjRa3n2qNHjcjKSsCyZVZs2ODCI48om0hx3OVU6V+j0+nE\nmDFj8OCDD8Ln8yErKwuNGzeOVd+kMHy4G04n0K2bE++8U4T0dHWe4Cg8gUDZ9qYLF1qxbFkhrr9e\nv0+kKHZSU8te3puVxTvOVL6CAuD0aWNILwClysl6jdOhgw8TJsSJ7oau+P3A//2fDdOn2/HMM6UY\nPNjN2ii6rMr3TFVFjY/ARfj0UzOGDHHg2WdLMGiQdpde6EFhITB0qAP5+UbMnVuI5GQu4QS4zC8W\n1q+34L33bFiypFB0V0ildu40469/jcOmTS7RXYkqNcw3gDrnnNJS4Npra2Dfvou44gqen6Lt3/82\nYtgwBxyOIGbMKFblLpoUuagt86PQ3XabDxs2uDB7th0jRsTDyxvLUjpxwoju3Z1ISgpi1SoXEymK\nqUvL/IL82lEFDhxQ7xI/ig27HfjTnzyYO9cmuiua5vUCr7xiR69eTtx/vxsrVhQykaJySZ1MiV5f\n+dv2mzQJYPPmAvzwgwHZ2Qk4ezZ6FYl6XtcarfY/+8yMbt2cuP9+D2bOLIatnPOUnsdda9Q4ng0b\nBmG1At99V72pWY0xKUGLcVU3pl27zLjpJvUmU1o8VqJUNpaPPOLGu+/aonbjVvRxFH2u3b/fhK5d\nndi1y4xPPinAn//sicmrCPQ+7rKSOplSo8REYMGCItxwgw9dujjx9ddcVCuD996zYuBAB2bNKsKQ\nIdyZh8Qo29jGG/XicpJTIFB206djR/UmUxQbrVv70bixH2vXWkR3RVNOnzZgxow09OuXgCFD3Fi6\ntBBXXsmlAlQ51kxF0YcfWjB6dDxGjy6J2V0NCs+FCwaMGROHL780Y+HCQjRtykf4FVFDDYMe5psF\nC6z45BML3nmnSHRXSGUOHjRh8GAH9uwpEN2VqFPDfAOoe85ZvdqCN9+0Yf161lhGyu0G3nrLhpkz\n7ejf34MRI0qQmCi6VxRLrJlSqbvu8mLNGhcWLrQhOzsBJ05wuNVk82YzOnZMhNMZxMcfFzCRIlVI\nT/chJ8fMuin6nR07+FSKftGjhxfff2/Cl19yBUx1BYPAxo0WdOyYiF27zNi0yYWJE5lIUXikvroX\nvb4ylPZbtAhg40YXbr/di86dnfjnP62KXCTpeV1rpO1fuGDA0KHxeO65eMyeXYRp00rgcMSm7UiI\nHnetUet4Xn11ADZbEEeOhD89qzWmSGkxrurEtHOnGR07qnt3Iy0eK1GqGkuzGRg9ugRPP638plei\nj2Ms2j982Ii77krAhAlxmDq1GIsWFaFp04Cuz/N6jj0SUidTsjCbgSefdGPNGhcWLLChd28+pRLl\nf59G7dhRwLu8pEqXnk4RXeL3l9VL8V2G9L/69vWgXr0gXn3VLror0jhzxoDnnotDVpYTXbt6kZNT\ngC5d+HdF1ceaqRjz+YA33rDh9dftGDOmBA8+yFqqWLhUG7V7txmvvVbMJKoa1FDDoJf5ZtEiK7Zs\nsWDOHNZNUZncXBMeeUQf9VKAOuYbQI4558cfDbjttkQsW1aI1q35gvmKnDljwOuv2zF/vhV33eXB\nM8+U8j1ddBlrpiTyv0+pFi60oUsXJz79lHego6W0FJg1y4b27fk0iuSRnu7Dzp2sm6Jf5OSYccst\n6l7iR2I0aBDECy+U4PHH4+HxiO6N+pw5Y8CECXG46aZElJQA27cXYNq0EiZSpBipkynR6ysjab9F\niwA2bXJh2LBSjBwZj969E7B/f+hFpHpe1xpK+34/sHChFTfemIidO81YscIVVm1UJG1Hi+hx1xo1\nj+dVVwUQHx/EN9+EN0WrOaZIaDGucGPKyZFj8wktHitRwhnLvn09aNgwgLFj46Svy1aq/UtJVPv2\nvyRRL71UgoYNKx8gPZ/n9Rx7JKROpmRnNAK9e3uxa1cBevXyoH//BAwc6Kj2CzupbGee9estSE9P\nxPz5VsyeXYQFC4pw3XXcqY/k0rGjDzt38h0yVHZzaNcuOZIpEsNgAN56qwh795rx4ov6rp/6bRK1\nY0doSRRRdbFmSkWKioDZs+144w0bsrK8GDWqBPXr848/VJ99ZsbEiXEoLDRg/PgSZGR4+fJdBamh\nhkFP883ixVZs3GjBe++xbkrv9u83YehQB3bt0ke9FKCO+QaQb845c8aAO+5w4u67PRgxolQ358Bg\nEPjySxPefdeGDRssuPtuD4YPL2UCRSFjzZRGOBzAU0+VYu/eAiQmBtGhQyIeeywee/eaWDtRAbcb\nWLrUisxMJ4YOjcegQW5s316Abt2YSJHc0tO9+Owz1k1R2RK/9HTWS1HV6tQJYtUqF1assGL8eGWW\n/KlZSUnZi847d3bi4YcdaNnSj337CvDyy3wSRbEjdTIlen1ltNqvWTOIiRNL8OWXBbjuOj+GDHHg\n9tudmDvXiuLi6LYdCjWM+4kTRvz1r3akpiZh0SIrhg0rxRdfFODeez0wRfH9hXoed61R+3heeWUQ\nCQlBHD4c+jSt9piqS4txhRNT2ful5Fjip8VjJUp1x7JevSDWrnVhzx4z+vVz4NSp8O8sij6OVbV/\n/LgREybEITU1CatWWfHccyX44osC/OUvbtSqFVkSpefzvJ5jj4TUyZTW1aoVxLBhbnzxRQHGjSvB\nxo0WtG6dhNGj43DyZIQ7KUgoEAC2bDHjb3+7AX/8oxNutwHr1rmwfHkhevb0wsxNEUljbrnFh23b\nWDelZx4PsHu3PMkUqUPNmmUJVevWfnTqlIgPPrBK/5SqpARYtcqC++5zoHNnJ/x+YNMmF5YsKURG\nhi+qN1KJKsOaKcmcOGHE++9bMX++DS1a+JGV5UVmpgdXXin5LFmBQADYt8+EjRstWL7ciqSkIB56\nyI3sbA/i40X3Tl/UUMOgt/lm/XoL3nrLhlWrCkV3hQT56CMzpk2Lw+bNLtFdiSk1zDeANuacAwdM\nePxxBxo18uPVV4tRt6481wteL7BtmxnLl1uxYYMFaWl+3HWXh9cApLhI5hzey5dMSkoAzz9filGj\nSrFpkwUbN1owdWoiGjYMIDPTi+7dvUhL80tdL1RcDGzbVhbbpk0W1KwZRGamF++8U4S2beWOjSgc\nt9/uxWOPOXDunCHipSskp/XrrbjjDr48iKqvTRs/Pv64AH//ux3p6Yl44AE3Bg1yq/YmbEkJ8Mkn\nFqxdW3YN0KRJAH36eDB+fAnq1VNnn0nfpF7mJ3p9pcj29+7NQa9eXsyaVYzDhy9i6tQSlJYaMGSI\nA61aJeHpp+OxZYsZBVHY/EnpuINB4PvvjZg714p+/Rxo0aIG3nzThubN/Vi/3oVduwowYUIJ2rUr\nS6T0uqZX9Pdda2QYz7g4oFMnLzZtCm2pnwwxVYcW4wolpkAA2LDBgh495Nl8QovHShQlx9JmA8aO\nLcWmTS6UlhrQqVMi/vxnR4Wb3MTyOHq9ZTvxvfaaDX37ll0DTJtWijZt/Ni2rQBbtrjw6KPumCVS\nej7P6zn2SPDJlAaYzcDNN/tw880+TJxYgiNHjNi40YKZM+3IzTUjOTmAtDQ/0tJ8aNu27L8TE8X0\nNRgETp40Yv9+E3JzTThwwIzcXBOs1rIYsrM9mDWrGDVq8O4TEQD07OnF2rUW9O3LpxN68+WXJiQl\nBdGsGd+TR8po0iSAKVNKMHp0CT74wIannoqHzRZE795e3HyzF+3a+WG1RrcPpaXAl1+a8dlnZf/5\n8kszrr7ajw4dfLjnHg9ef70Y//73LqSnp0e3I0QKYc2Uxvn9wLffGpGba8aBAybk5prxr3+ZULdu\nWYJ13XV+1K8fQN26AdSrF0S9egHUqhWMaCmd1wucPm3A6dNG/PSTEadPG3DyZFkfcnNNsFiANm18\nSEvzo02bsuSO79NSPzXUMOhxvjl/3oC0tCQcPnyBNQI6M3FiHEymIMaNKxXdlZhTw3wDaH/OCQTK\napK2bLFg1y4zjh41oW1bHzp0KPvPNdf4ccUVwbA3eAoGgbNnDTh61Ihjx0w4etSIvDwT8vKM+O47\nE5o3919uo317H2rW5DUAicWaKaqQyQS0bBlAy5Ye3Hdf2T/73wTrm29MyMkx49Qp43+THwOKiw1I\nTg6gbt2y5CoxMQiTqewJmMVSlmj5/YDPZ4DPV5Y8nT1bljT99JMRFy4YUKdO8L8JWtnvadAggIcf\ndjNxIgpTzZpBtGvnwyefWNCzpzzLvSgywSCwbp0Fb73FlzZT9BiNwO23+3D77WW7RRYUAHv2mLFz\npwWTJsXh+HEjzp0zoGbNIJKTA0hOLju3JyUF4fUCJSUGuN0GuN2X/jfgchlw7JgJRmMQTZsG0KSJ\nH40bB9CtmxeNG/vRsqUfCQmCAydSkNTJVE5OjtDHwCLbj6Tt/02wylNaisuJ1U8/GVFUVJY0lf3H\ngCNH8nDttU1gsfySZNWu/UvydcUVwai/60nGcZe5bS2SaTx79vRi3bqqkymZYgqHFuOqKqZvvzWi\nuNiANm38MexV5LR4rEQRMZaJiUDXrj7ExX2KF14oa9vnK3vKlJ9fdtM0P7/spqnNBthsQdjtQdjt\nl/434HAE0ahRIKJNc/R6rhX996Pn2CMhdTJF0WG3A1dfHcDVVwPA70/kOTnHkJ7eMOb9ItKr7t09\nmDo1ET4f+D41nVi3zoqePT3cvZSEM5uBunWDqFvXj9atRfeGSH1YM0VEIVFDDYOe55vOnZ2YMKEE\nt97Kl7fqQZcuTjz/fAk6ddLn8VbDfAPoe84h0pNI5hypt0YnItKLHj28WL8+tC3SSW4//GDAsWNG\ndOigz0SKiEgmUidTovek1+t+/Bx3/bWtRbKNZ8+eHqxbZy33nTCXyBZTqLQYV2UxbdhgRUaGFxYJ\nc2ctHitR9Hy+0WvsHHc5SZ1MERHpRfPmAdjtQeTmRnF3F1KFUDYbISIidWDNFBGFRA01DHqfb154\nIQ5GYxDjx+vvvUN6cfasAe3aJeHQoQtwOET3Rhw1zDcA5xwivWDNFBGRDtxzjxsffGCDj6U0mrVk\niRXdu3t0nUgREclE6mRK9PpKva4t5bjrr20tknE8r7sugPr1A/j44/L3R5cxplBoMa7yYgoGgfnz\nbbj//vLfASgDLR4rUfR8vtFr7Bx3OUmdTBER6c3997sxf75NdDcoCvbtM6G0FOjYkY8eiYhkwZop\nIgqJGmoYON8ABQVAamoSPv+8AMnJEU3fpDJPPRWPq64K4OmnWROnhvkG4JxDpBesmSIi0onERKBn\nTy+WLLGK7gopqLgYWLXKgvvuc4vuChERhUHqZEr0+kq9ri3luOuvbS2SeTzvv9+D+fNtv3vnlMwx\nVUaLcf02ptWrrbjhBj8aNJD7aaMWj5Uoej7f6DV2jrucpE6miIj06KabfAgEgL17+c4prZg/34r7\n7+dTKSIi2bBmiohCEqsahpYtW6J58+YAgBtuuAFjx469/O843/xixgwbjh41YebMYtFdoQgdPWpE\njx5OHDx4EVau3gTAmikiiq1I5pzy99clIhLEbrdj5cqVoruhevfd58FNNyViyhQgIUF0bygSCxZY\ncc89HiZSREQSknqZn+j1lXpdW8px11/bWiT7eNatG0SHDj6sXPnLFbjsMVVEi3FdisnnAxYvtmlm\niZ8Wj5Uoej7f6DV2jrucpE6miEh7PB4PsrOz0bdvX3zxxReiu6NqlzaiIHlt3WrBVVcF0Lx5QHRX\niIioGlgzRUQhiVUNw9mzZ1G7dm0cPHgQTzzxBLZs2QLrf9c/ff/993jnnXeQkpICAEhKSkLr1q2R\nnp4O4Jc7W3r5+dNPd+Khh7pg3To3WrQICO8Pfw7/50mTbkD//k488IBHFf0R9XN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gl2/Yib3iYuC008LYsMHaxlu97+MJUZnGUjby8ssvY9myZbj55puhqvqXnHDC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\n1ETH93v2z0EX793hYNVJTJizlOh6ULNbyESddku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3wj1Fabzs3h35Hrf+RJ8oE2aKvbHOfrDYQFbGqCQKYnbQ1+vDA1jFo/Ejbuai668HxM0c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042/+i5bUTfE8+AYXyXuE/XJ9qVh/l0zmlgYKErW4QMPTW5rxTmrs5h3NAZ6E8YhNlAr9Ef/mMt\n2tqAn34yY/Nm6qBXVUX5xzNnuvHGG51ITfWNW+sqfF8L7XHkw/M9UO0TldDSwmDZshDk5pqweLEL\nM2YQUVuyxKU8Zz2ca5O+KAJ1dQyqqjxkWCbGlZUsbDYGEyaIiI4WEB0tIi2Nx5VXknJ8JkgxQDdE\nWlIsd9wjYiwiKYkK/5KSBIwY0fs0DLsdKCvjlAxlmRw7HEBqKhHjqVMpvjApqfdtovX8w92pekDP\nPMz+5tqea2PTwNmBP+Ogq/Gqd8Oorf/Qwp+xaKyAGOhvGITZwGmjv/3HANDZCWzf7rFYlJZyyMqi\nhh0vvUQWi+6ImrYzlWffqY87lUpitwN//7sFf/2rBc3NLO66y4G//KUToaHAXXepoxrOlfB9pxM4\ndoxFdTWLo0c9X8eO0feaGhZhYZJin4iKEjB7No/ly52IihL7JJqtKzQ3Mzh4kFV12ysp4eBweDru\nJSUJWLjQjaQkAaNG9f65OBwUT6dNw6ipYREdLZ5sf83j7rspP3nMmDPz+vWWuP0hzP56mLXb+mOR\n0Wz7+eQNnNfoqSWjNwqz0bjEwLkGgzAbOCXOhv8YIE9ofj6HTZvM2LTJhIICE9LSiCA/9ZQd2dk8\nLJbTP6+/BKS7DwIAWLWqFps3JyAtjWLu3n/fgttuc6mu1RNVr7doawOOHuVw9KiaFFdX01dTE4NR\no8g3PG4cpU1MncqrtvW6c/UVBAE4epRFWRmriosrKyNiLKdSJCUJmDePiHFfkFSXCygv95Dxgwfp\ne3U1iwkTROWa111HKnVMzJlRy7tCVznM3vB32fv11w/gnnuSvc4jKZYh+bze2/Ix2mt7E2gDAxen\niuSUcToFqd7js6ubN3/mTgMG+hMGYTagguw/lslxf/iPAZoMy8tZbNpkxsaNZLMYN07ErFk8HnjA\ngenT+T5f8j7Vcd6TvN4HwfvvB+Czz2Lx3ns2zJnDY/durkfRSKcDl4s8u/X1rOq7rAzLpFgUGYwd\nS/YIIsEC0tJ4REbS9qhRUr90B+zo8DQW8Y6LO3yYxfDhnsYiVquAxYtdiI/vG8XY7aYCPFkplgny\n0aNUdJiYSAWHixYRMY6NFVUxbWcT2hs1LboqrNLuKyoKV237jkWp29QBLYE2MLDRnYf5dIr+vMen\n3s2bv3OnoTAb6E8YhHmAw+EA8vM95Lg//Mcy6usZbNpELZ83bTJDkoDZs924+moXXn7Z1ue2DsA/\n0noqpS83l8j8xx8HoLOTw48/khUkKMiXgPgTjeRyAS0tDHbu5HyIcF0di4YG2q6rY2CzMRg+XMKI\nESKGD5cQESFixAgJsbEiZs8mhXjsWIpC6y/1RZKoyFEmw55W1Byam9WNRa64wtNYpLc3PwCtQhw6\nxPqkYVRWsoiM9CjGV17pwpo11OmvJ6sSZxOnuyIij88PP0zE+PF2pfBVT7HrbhlcPrcBA/6gu6xm\neWwCUI1PvZs3vdUNQ2E2cLZhEOYBhuZmBjt2eAhyf/iPZTgcwNatppNtn004epRFTg6P2bN5rFrl\nQFzcmW/Y4Q8BOJV/TiYg11/vwtKlg/Deexb8618WDB0qoqGBxZ13hsDpJCJcUEA3IO+8Y4HTCdjt\nDBwOIDl5MJxOwOFgwPNEtvfv5xQCHBEhIjZWxLRp9F6MGEH7hwyR+qRRR0/gcBA51VooKio4hIRI\nSlORuDiyUSQkEHnvi+crCBRVp/Y1U2TdqFFEjJOTBSxY4MaDDzoQFyecUUvJmURPCp30xicAPPKI\nQ3We7qISfa1IvkWyBgYuul+R8P19V2MT8IzPgwctPkXV2joSf3KgDRg40zAI83mOhgZPHvG2bf3j\nP9Ze/5tvzNiwgVTkiRMFXHSRGy+9ZMOkSX1v7TgV/PXB+aPGRUWJyMoqx1/+EoHGRnqNr7wSiHnz\n3AgIkBAYCLz+OoOsLB4LFrhhsQCCIOGyy8Lwww9tsFgAi0XCW29Z0NTE4qmnzn7jEkmi90troSgv\nZ3H8OPl8ExIExMUJmDOHxy9+4UR8fNeZwqcLUaTcam0aRnk5hxEjRCUN45JL3LjvPmpw0hctsM8V\n+JODrDcWWdZ335EjRwBEKNuiqCXMeokxvvsMW4YBoHs7hrytF1Wot897fPrry/dntcWAgTMJgzCf\nZ2ht9eQRb9liwtGjHKZPdyMnh7qXnQn/sTckCTh4kMXXX5uxfn0ASkpYzJrFY+FCN155xYbw8LP3\nAeyvD05LVPSKUgDAam0Ew0Rg+HAJsbHU/OK66zxFf599ZkZioojsbMp9bm+nc3l3ETwbcLtJsdVa\nKMrKiFElJIhKK+qcHB7x8QImTOi7AjhRpKI/bURcWRl1wJMj4mbN4nHXXU4kJAhn9KbuXEJ3ip0/\nBVIAjU01YWZ8FDu9qETtMQYMnArdzZOnmjvl8emPL787u4cBA/0BgzD/zNHR4Ylb27LFhPJyDtnZ\nlCbxxz9S3NqZVnHdbmDbNhM2bDDj66/NcLkYLFjgwkMPkUftXPKNan1xXS9xMwAkZVtblAJAlUKg\nn4+rzXPuX5WkpYVRCHF5OXtSOeZw5AiLMWNExUYxeTKPm26iorvw8L7zP0sScOwYo7JSHDxIX2Fh\nkuIxvuACyjJOTOy7Ntg/R/Q0e1aPlHiPTfk8/iQanOoxBgYu/En48acBiQzv8dnVWPRn7jRgoD9h\nEOafGex2YNcuWUE2Y98+DunpRJDXrrVj0qT+IaitrQy++86EDRsC8P33JkRHi5g/341//IOahpyL\nH7RdFZdowbKSRjnRTxTwhl5zk65UPO3jevO3amlhlNbTFRWUQFFRQe2o3W5GUYrj4kRcey2R4pgY\nEYGBPb+m72ugwj/fVtQcBg2SlJi4KVN4LFvmRFJS39k4zif4Y8nwV2HWQq97ZfceZoMwGyD4E395\nOgqzN/zNFjcsGQbONgzCfI7D5aI8YllB3rPHhORkARde6MYjj9gxZQrfbz7O2loG69YFYP16M/bs\nMeGCC9yYP9+Np5+2nXWbgb/QL1zxVZ21BESPkOTm5iodq7ry4fmD7nyi3qT40CFORY5dLgYxMUSC\nY2MFXHghj9tucyI2lpI0+vIDRZKAEycYVVQbEWMWFounFfWkSTxuvJEi24YO/XmMi3MB/nmYJZ/V\nDr332HtsyuguKlHvf8MgJAYA/+xs/iavAP7Nnf5ELBrj00B/wiDM5xhEESgs5LBpkwmbN5uxa5cJ\nsbHkJf3lLx2YNo1HaGj/PZ+WFgZffGHGp58GoKCAw4IFbtx1lxOzZnX0STRYf0K/cMVXPdbLAO0L\nleRUrbllUuytEMvkWCbF0dFqUhwTI/ZJC2gtRJGa1XgX/sleY5YFkpOJGKelCViyhIjx2fSmn0/o\nmYdZJtFdvwf+KMzaaxpL3ga80ZNaj76bO/0rPDRg4EzCIMznAKqqWPz4owmbNpGKHB4uYfZsN26/\n3Ym33ursd5XOZgM2bDDjs88CsGWLGbNm0XOZO9f9s43r6gr+JBHopRAAUCl42hQCeZ88oYsi2RZE\nEfjXvwJQWUmEePt2Dk1NLN56KxDR0aQUx8QImDmTSHF0tIiIiDOTq9zZCVRUcD4d9w4d4jB0qKTY\nOZKTBVx9NRHjM0HQDRD8zZ7VS8nQHqdVl/Wa8WhheJgNdAX/PMy+qx80d/oOotOZOwFjLBo4N2AQ\n5rOA5mYGmzeblK52NhuDWbPcmDvXjWeftSEy8uxIO3l5HN5+24KvvjIjK0vANde48NprnedNIZa/\nsXI9VZgliTrMHT7MorKSQ3Exh+pqC154IQhHjrAIDpbgcFCAf1SUiEsvdSMsjNpQr11rPyMfCJJE\nVhrvJAyZHDc2knIt5ycvWODG/fcLiI0V+nUVwwDBn9bU/kbNadETD7N8bgMG/I2V01v98Df73huG\nh9nAuQiDMPcDHA5g506T0tWurIzDtGk8Zs1yY8UKB5KTz3zDjq7gdAKffx6AN96woKGBwe23O/HE\nE/Yz1rzkbKIr4uuPwixJtK++nlHaUG/ZcgRALA4fZnHgAIv6ehbXXDMI0dEioqJEWCwScnJ4XHed\nGxMmCOB5BpMmheH1123KuY8cCYTD0fuJ3+mkxiJ6HfeCgjyNReLjBVx8sRvx8dQmuz9aZBvwH1rF\nrqc5zFoPs78pGYYlw0BX8KdxiZ69rbv6D38ThvSubRBmA/0JgzCfAYgisG8fp9gsdu0yITFRwOzZ\nbjz9tB3Z2Wc/aq2hgcEbb1jw3nsWJCcLWL3agXnz3Oc1gequE5XLBRw7xsLtBj77LADt7Qyqq1kU\nFFBHu8jIIQgNlTBunIjISBEcZ8GMGQIWLnShuprFV18F4OOPO5Rz33xzCKZMEZCaSjnMTU29V0ka\nGxkfC0VZGYeaGhbjx3ui4i68kKLa4uNFo/DuZwJ/kwi0BCQggG6YTgWnk4HFoj65Px5mg5AYAPxb\nndOzBvkzNh0O37Gp1+mvq+dlwEB/wSDMfYSGBgbffmvG99+bsXmzCYMHS5g1y43ly534+987MWTI\nuUFaBAF4770A/P73Qbj8cjc+/7wdiYl+xjn8zNHRQZnRX39tRnU1qcRff21GRwfwj39Y0NjIYORI\nEZ2dDHbs4JCQICI7m0dcnIAvvgjAf/7TrkkkGQaAPg3WrTMjOFj9HvvbrUoLnidfu7bjXlkZC1GE\nohQnJAiYPp2eX1SUiICAXv+JDJxF+JvDrCXMQUESHA510Z/Ww2y3Q1V/oFXw9K5lEGYDMrqyB2m3\ntWMzMFBCe7vvnZn3+HQ4GISF6RFm3/NrjzFgoD9hEOYeQpKA0lIWGzaYsWFDAPbv5zBrlhuXXOLG\nE0/YMW7cuUdCi4s5PPBAMMxmYN26dkyceO49x55Ca5eormYVUixvu1wMXC7grbcsGDeOLAnUoU/E\nmjUOjB4tgeOA1NTBWLvWjrFjaUbeuZPDl18GnDK+z+FgEBSkl8Os3vZGWxsVAtbXs3jmmUClsUhV\nFYtRo0SFGGdl8bjhBhfi4oyiu/MZ/viH9VThwECZMHcNh4NBYKBasdPv9Nf9czAw8NBV9GV3KRlB\nQWRJPBXsdvhYAP3p9Gfc0BnobxiE+TTgdlNXPSLJZjidDObPd2H1aupo15fNIPoaDQ0MliwZhEce\nsePmm126H7znKux2oL6eRX09kcu6OgbHj6tJ8bFjrGKXGDuWvqKjyZog73O7gZkzw1S2ieeeCwTH\nQSHHgG+nv64mfW8fnsMBn/dfFBlIEnDkCEW07d3LwWZjcOWVg1BWxqGjg8GgQSKGDZOQkSFg8WIX\nEhIoPu58SyMx4B+684Tqq3j0P+INbc6ty6Uen4aH2cDpouuOqJ5tPYXZbvdlteq501ds8CclwyDM\nBvobBmHuBtqOdlFR1NHunXc6YbWemx3t9PDJJwGYNInHsmWus/1UIElAeztQV8cqBLihgb7X17No\naGBO/o623W5gxAjKHJa/jxpFdolFi0SFEHdHMuvrfd8sfzr9BQXpT/reaGlh0NkJfPqpWbFQbNvG\nYdOmEISHS0hIEDB2LLUp/9WvHIiPFzBmjIQXXgiEJAEPPdSNDGPgvIdvTJfvMfoq3qnHp90OWCw9\ny2H+ucxvBs4sukrA8Ibe2AwO7n7u1NqFAP9SMrraZ8DAmYJBmHVQWcli/Xozvv7ajPx8T0e7p56y\nYcyYn6fsMneuG3/7mwXLloVgwQI30tP5PlEy3W6a8BwOBg4Hg44OjxpcV+dNfj0/NzQwMJs9JDgi\ngr4PHy4iJUXAiBEiIiKoU11EhIjQ0L6bGPWquAVBvU+rlMgqiZylXFHBoaKCRWnpXLzyyv9v7+5i\noyrTOID/z8x0pu30GwqFfthSGkpKCQvaGDYgbEitF9tduzRqQG5MykaCFxjQ6IZEw4VRMcvNrhQN\nKpCtCKyBBIlggY2yi5EIGgQClAKy23a6pfRjpvNx5uzFy5mZc847w9RsO7T9/xLSdjpMD+Tpmec8\n7/M+R/QWd3XZkJurRW5H3dAQxM8/27Bhgw+NjSEA4i55X37pxIoVIcvPI5Jtomrucm8AABBOSURB\nVLLGpoZw2JhJyFZAzD2iD6rgAeJnJZOkEAHW+Iy3+iFbnYuNT5/P2C4EWONTNquZKyA03pgwQ/zS\nnztnj/Qj//e/Currg2hpmZh3tJOprAzj668HsG+fCydOpOHPf07HrVsiyXO7NaSni0pVerr4PD1d\ng6qKN1ufT4kkxbHJsb4MnJGB+39Pg9ttrQbX1YUwY4ZIiPWP43U771iyKklamliu1oXD4s/Zs3ac\nOuVAR4e4y113t4KSkjzk52uoqFAxd65xRNvevU44ncCWLdF3h7Y2pyF2QiHAYfqNYxWPYsXGZ1qa\niJlYsipevGVvnc9nbReSxV0opCAt7cGTCWhqMseDw2GMz18Sm0By+z/MsSmeY924SjSWpmzCPDwM\nnDwpepG//DINhYUaGhoC2LFjGEuWqBOqxzdZbjfQ0uJHS4uY7KCqourp8ymmZFh8tNvFCU8k0vrn\n0cQ6I0O8qU8UesKsV4o7Ouw4f96OO3dsuHLFjo4OseEuEABaW12oqRF33WtuDuEf/0jD1av9hgQ4\ntg/P71eQk2Msr5irJKGQAocj8RsDTV3mCzqHQ6xYmMWfkhE12h5RQKwWxY6V5MUc6WTFBodDxEz0\nOdY7/SWz/0N2QWeOT3NsAtbRc0RjbUolzIEA0N6ehgMHnDh+PA2LF4fQ0BDE5s0jeOSRyTMxIll2\nO+63mEy+k044DPznPyIpFnffE5Xie/cUlJbmISdHw5w5Kvx+BU4n0NwcQGVlGOXlKlauzMHOnV7M\nnRuOvNYf/4gHTMmQf99YJbFeYDApoVjGhNnakiGv4lk3/cUyT8jQf475Qk1VjfHJCjPp5KtzGlTV\nuOnPTHYxZ+bzJVNh5rmTUm/SJ8yqCvzznw4cOODEkSNpmDdPxerVAbz1lhfTp/MdYSJTVZEU37hh\nR0eHDR0ddty4YcP163Z0dtqQkyPaJ+bMCaOyMozf/jaAf/0rDRcv9iMrS7xGa6sL167Z8LvfRUsl\nsjv9OZ0iKY7t+Y7tw/N6H9yHJ6uS6D+PyBwH5iVv/TmyCrN52dsYmw+u4AHyliHGJgHyOLBWmOVT\nMrxe61829thbN/2Z54TLVueIxtukTJg1DbhwwY4DB5z4+9+dmD49jD/8IYDTp32G8WH08PP7xU08\nOjtFlfjGDfGxs9OGW7dsKCjQUF4ubtxRWRlGU1MAc+aEUVGhIjvb+Fr9/Qr+9CctkiwDokoSChlP\n6Ha7NVHRZ92aKyE62fdU1Zggq6qsD49JCQnmhEMkJIohRmRVZ7HsHT+IRkYUyU11FMvFWzCowG6P\n7WFmjygJ8VoyYs+Tsgu8ZOYwy1ZAxCa/6GOyiznZRR/RWJpUCfPPPyvYu9eFgwed0DSgqSmAQ4em\nzp3sJqqBAUSSYXNi7PEoKC4WM5UrKkRivHx5KJIkj2bzoMNhXEIEREIbWyUBRHLs91t78bxeID8/\n+tiD5jCb3wiCQetJX2xmYXySWHKOTYZtNpE0hMPRCy+Xy7rELTZWGV/rQbEp+katF3ixy95iGZwF\nBpJvQBUJcjQWXS5xjoudaBHvpjrGHmbrTXXMo+Zk505zvBKNtQmfMGsa8PXXDuza5cI33zjQ3BzA\nzp3D+NWvJs6M5MlO04CeHiWSBMcmxp2dNoyMKHjkEdE6UV4exqJFIfz+9yJJLikJW06Uv5R5CRGw\nJimASC78fuNjstsPx5L14ZmXGmVVknhtGjT1yDb56TGrx0hGhjw2e3vj7xyVje3y+63xak5KZEkK\nTU2y2BSrc9GvFUUkzX5/9LyX7Bzm2MJHKCQS7tjYk63OMT5pvE3YcBseBvbvd2LXLnHjh5aWEfzl\nL8OG5XYaH5oW/7bUN2/acPOmHenpGsrLRZW4oiKM3/wmhPJyPyoqxKi58bi4iVclMb8RyEYhiXmi\n8ftEZX14fr8ClyvxsiKrJKSTLWmbY1ZeYR79HOaREZHcxDL3icrilaYmWWzKVudcLs1wMZbMHGbz\nSpxsaka81Tn2NdN4mnCnw5s3bWhtdaGtzYmlS0N46y0vli0LsZo8hgIB4N//jibD5sT4zh0b3G4N\nJSXRu+6VlYXx61+HUFYmkuScnFT/K0TVIhxWDEuGDodmeSPQT/qxxMaq+K8tq+KZH5PNEg0GFSYl\nBEDen2y3621E8ROQeBurdLIERNY3qqrWqh4TEgLiX8zJVud8PiAvz/iceBdf4bCoSMfGp7nQAMQv\nNvDcSeMp5eF29OhR7NixAwDw6quvYuXKldLnDQwA27dnYN8+J9auDeDUqUGUlrL38/9hYAAxVWG7\nJSnu7VUwc2Y0GS4tDWPJEtE2UVIi/kyEm7soSjRBdjrFY7I3AtmYLlnVOVEfHmB9I5BXScCkhAAk\nbsnQyfrrMzMTz2GWtQvFLpvr2JJB8chX56zxGo1PEW+KIuLM54NhE7YenyMj4lwcO0JOXMwZf1a8\ndjbGJ42nlIZbIBDA9u3b8dlnn8Hv92PdunWWhFnTgL/9zYlt2zKwcmUQ33wzgJkzmWAkKxyOtkvo\niXBsy8Tt2zYEg0ok8S0tFX/q64P3P1dRVKRNmhOTfuLXE2bZG0G8TX/myl5XV1fkc9kc5mRaMrjs\nTbpkWjJkm6hkVWdjbCqW5HhkREFenrHgYF4BYWySzm6XX8xZV+essajv/8jOjsaWHp/x2oXMxQfZ\n6pzsMaKxlNLT4Q8//ICqqioUFBQAAIqKinD58mVUV1dHntPS4sa1azbs2TOEJUvUeC81ZcW2S8h6\niO/csSErS4tUh0tKxMa6ZctCkQS5oGB8eogfBuaRcbI3gngnfXOF2RXTBCpb4jYvhct67mQD+Wlq\nkm1KNcerLDZlqx+xsSmbiCGbnBEKGTegskeUdLL2C4dDHouyKS7mDdN6fJqnYQDiXGpuyZBtjjbH\nK9FYS2nC3Nvbi8LCQrS1tSE3NxeFhYXo6ekxJMzBIHD06KDll2oq8HqBnh4benoU9PTY0N1tTYp7\nexUUFRmrw3q7RGlpGMXFE6NdYrxE5y5r97+WzbW1nvRlCXMsr9dYKdGTHOuYLuPfM8++panLfOc0\n/bHYeJUlJJmZie/05/MpKCw0VpNlF3jm+OTFHOnkE4Y0DA0Zp7PIVjv0kZwysjiUXcypqjWxZnzS\neHsoFtyeffZZAMDx48ehmEqdf/3r8KRKlv1+0SLR3W0zJMOxj3k84rFgEJgxQ0yR0D+WlobR0BC8\nnyBPrnaJ8WA+8cveCGRVvNxcDffuGWPz1q1bAMSJ2+eDYUJLMhU8/TGe9AmQTx2w9jDHi01j4qLH\nJgDcu6egstI6Vk6WMMeeS1jBI53Y+5HcDHvzBV1urob+fvm5s79fQW5uMrGpwOEwtxCxZYjGl3Ll\nypWUlbfOnTuHXbt24f333wcAPP/883j99dcjFeZr164ZlhaJiIiIiMaC3+/H3Llzpd9L6fVZbW0t\nrl69ir6+Pvj9fnR3dxvaMeIdNBERERHReElpwux0OvHyyy/jueeeAwC89tprqTwcIiIiIiKLlLZk\nEBERERE97GwPfgoRERER0dTFhJmIiIiIKAEOZSEapS+++AIXLlyA2+3Gxo0bU304RBEDAwNoa2vD\nyMgIHA4H6uvruXmaHgperxcff/wx1PuD75944gnU1tam+KiIkseEmWiUampqsHDhQhw6dCjVh0Jk\nYLPZ0NjYiKKiIvT39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"text": [ - "" + "" ] } ], - "prompt_number": 13 + "prompt_number": 14 }, { "cell_type": "markdown", @@ -776,11 +776,25 @@ "\n", "$$new\\_position = old\\_position + velocity*time$$ \n", "\n", - "Next, we take the measurement from the sensor, and compare it to the prediction we just made. In a world with perfect sensors and perfect airplanes the prediction will always match the measured value. In the real world they will always be at least slightly different. We call the difference between the two the *residual*. Finally, we use something called the *Kalman gain* to update our estimate to be somewhere between the measured position and the predicted position. I will not describe how the gain is set, but suppose we had perfect confidence in our measurement - no error is possible. Then, clearly, we would set the gain so that 100% of the position came from the measurement, and 0% from the prediction. At the other extreme, if he have no confidence at all in the sensor (maybe it reported a hardware fault), we would set the gain so that 100% of the position came from the prediction, and 0% from the measurement. In normal cases, we will take a ratio of the two: maybe 53% of the measurement, and 47% of the prediction. The gain is updated on every cycle based on the variance of the variables (in a way yet to be explained). It should be clear that if the variance of the measurement is low, and the variance of the prediction is high we will favor the measurement, and vice versa. \n", + "Next, we take the measurement from the sensor, and compare it to the prediction we just made. In a world with perfect sensors and perfect airplanes the prediction will always match the measured value. In the real world they will always be at least slightly different. We call the difference between the two the *residual*. Finally, we use something called the *Kalman gain* to update our estimate to be somewhere between the measured position and the predicted position. I will not describe how the gain is set, but suppose we had perfect confidence in our measurement - no error is possible. Then, clearly, we would set the gain so that 100% of the position came from the measurement, and 0% from the prediction. At the other extreme, if he have no confidence at all in the sensor (maybe it reported a hardware fault), we would set the gain so that 100% of the position came from the prediction, and 0% from the measurement. In normal cases, we will take a ratio of the two: maybe 53% of the measurement, and 47% of the prediction. The gain is updated on every cycle based on the variance of the variables (in a way yet to be explained). It should be clear that if the variance of the measurement is low, and the variance of the prediction is high we will favor the measurement, and vice versa. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The chart shows a prior estimate of $\\hat{x}=2$ and a velocity $\\dot{x}=1$. \n", "\n", - "The chart shows a prior estimate of $x=1$ and $\\dot{x}=1$ ($\\dot{x}$ is the shorthand for the derivative of x, which is velocity). Therefore we predict $\\hat{x}=2$. However, the new measurement $x^{'}=1.3$, giving a residual $r=0.7$. Finally, Kalman filter gain $k$ gives us a new estimate of $\\hat{x^{'}}=1.8$.\n", + "> We use the caret notation $\\hat{x}$ to denote an *estimate* - the output of the filter. We use the familar dot notation $\\dot{x}$ to denote the derivative of x.\n", "\n", - "** CHECK SYMBOLOGY!!!!**" + "\n", + "Therefore we predict $x^-= 2+1 = 3$.\n", + "\n", + "> We use the notation $x^-$ to denote a *prediction*.\n", + "\n", + "However, the new measurement is $x^*=2.3$, giving a residual $r=0.7$. Finally, the Kalman filter gain $K$ gives us a new estimate of $\\hat{x}=2.8$.\n", + "\n", + "> We use the symbolology $x^*$ to denote a measurement. I will address symbology in more detail later. It is an unfortunate reality that nearly every text on Kalman filtering uses different symbology and variables - there is almost no agreement across texts. Be sure to read the introductory material very carefully to avoid being led astray.\n" ] }, { @@ -796,13 +810,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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DD376/PPP1bBhngYN6iGbrfT2kJAwxcR01zfflL48t2hRpJCQkot+vMzM+rLb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\nLrmEygMAAIC34ZPgXEhJSXEsq6N6yNI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bZTxlPFa/XcZTxuOJt5OT/bRly1dq1ChfAwZ0l81W+rjdbldsbG+tX1+aYaNG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\nOnRwLKWXBVoXt/PyJOmPSfuRIzalpW3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"text": [ - "" + "" ] } ], - "prompt_number": 14 + "prompt_number": 15 }, { "cell_type": "heading", @@ -821,7 +835,7 @@ "\n", "> $$\n", "\\begin{aligned}\n", - "\\hat{\\mathbf{x}}_{t|t-1} &= \\mathbf{\\Phi_t}\\hat{\\mathbf{x}}_{t-1} + \\mathbf{G u}_t\\;\\;\\;&(1) \\\\\n", + "\\hat{\\mathbf{x}}_{t|t-1} &= \\mathbf{\\Phi_t}\\hat{\\mathbf{x}}_{t-1} + \\mathbf{B u}_t\\;\\;\\;&(1) \\\\\n", "\\mathbf{P}_{t|t-1} &= \\mathbf{\\Phi_tP}_{t-1}\\mathbf{\\Phi}^T_t + \\mathbf{Q}_t\\;\\;\\;&(2)\n", "\\end{aligned}\n", "$$\n", @@ -865,7 +879,7 @@ "$$\n", "\\begin{aligned}\n", "\\text{Predict Step}\\\\\n", - "\\mathbf{x}' &= \\mathbf{F x} + \\mathbf{G u}\\;\\;\\;&(1) \\\\\n", + "\\mathbf{x}' &= \\mathbf{F x} + \\mathbf{B u}\\;\\;\\;&(1) \\\\\n", "\\mathbf{P} &= \\mathbf{FP{F}}^T + \\mathbf{Q}\\;\\;\\;&(2) \\\\\n", "\\\\\n", "\\text{Update Step}\\\\\n", @@ -890,7 +904,7 @@ "Look at the code below for the predict step (which we will present a bit later). \n", "\n", " def predict():\n", - " x = F*x + G*u # equation (1)\n", + " x = F*x + B*u # equation (1)\n", " P = F*P*F.T + Q # equation (2)\n", " \n", "Notice how simple it really is. It really isn't much different from the predict step in the previous chapter, and it is a nearly exact transliteration of the equations above. As you become familiar with this notation you will find yourself able to read textbooks and paper and implement the equations without much difficulty. \n", @@ -1018,11 +1032,11 @@ "\n", "Suppose that instead of passively tracking our dog we were actively controlling a robot. At each time step we would send control signals to the robot based on our current position vs desired position. Kalman filter equations incorporate that knowledge into the filter equations, creating a predicted position based both on current velocity *and* control inputs to the drive motors. \n", "\n", - "We will cover this use case later, but for now passive tracking applications we set those terms to 0. In step 2 there was the unexplained term $\\mathbf{Gu}$ in equation (1):\n", + "We will cover this use case later, but for now passive tracking applications we set those terms to 0. In step 2 there was the unexplained term $\\mathbf{Bu}$ in equation (1):\n", "\n", - "$$\\mathbf{x}' = \\mathbf{Fx} + \\mathbf{Gu}$$.\n", + "$$\\mathbf{x}' = \\mathbf{Fx} + \\mathbf{Bu}$$.\n", "\n", - "Here $\\mathbf{u}$ is the control input, and $\\mathbf{G}$ is its transfer function. For example, $\\mathbf{u}$ might be a voltage controlling how fast the wheel's motor turns, and multiplying by $\\mathbf{G}$ yields $\\begin{smallmatrix}x\\\\\\dot{x}\\end{smallmatrix}$. Since we do not need these terms we will set them both to zero and not concern ourselves with them for now.\n" + "Here $\\mathbf{u}$ is the control input, and $\\mathbf{B}$ is its transfer function. For example, $\\mathbf{u}$ might be a voltage controlling how fast the wheel's motor turns, and multiplying by $\\mathbf{B}$ yields $\\begin{smallmatrix}x\\\\\\dot{x}\\end{smallmatrix}$. Since we do not need these terms we will set them both to zero and not concern ourselves with them for now.\n" ] }, { @@ -1400,7 +1414,7 @@ " self.P = np.eye(dim_x) # uncertainty covariance\n", " self.Q = np.eye(dim_x) # process uncertainty\n", " self.u = 0 # control input vector\n", - " self.G = np.zeros((dim_x,1))\n", + " self.B = np.zeros((dim_x,1))\n", " self.F = 0 # state transition matrix\n", " self.H = 0 # Measurement function\n", " self.R = np.eye(dim_z) # state uncertainty\n", @@ -1421,7 +1435,7 @@ "\n", "$$\n", "\\begin{aligned}\n", - "\\mathbf{x}' &= \\mathbf{F x} + \\mathbf{G u} \\\\\n", + "\\mathbf{x}' &= \\mathbf{F x} + \\mathbf{B u} \\\\\n", "\\mathbf{P} &= \\mathbf{FP{F}}^T + \\mathbf{Q} \n", "\\end{aligned}\n", "$$\n", @@ -1429,7 +1443,7 @@ "The corresponding code is\n", "\n", " def predict(self): \n", - " self.x = self.F.dot(self.x) + self.G.dot(self.u)\n", + " self.x = self.F.dot(self.x) + self.B.dot(self.u)\n", " self.P = self.F.dot(self.P).dot(self.F.T) + self.Q\n", "\n", "I haven't discussed the use of numpy much until now, but this method illustrates the power of that package. We use numpy's `array` class to store our data and perform the linear algebra for our filters. `array` implements matrix multication using the `.dot()` method; if you use `*` you will get element-wise multiplication. As a heavy user of linear algebra this design is somewhat distressing as I use matrix multiplation far more often than element-wise multiplaction. However, this design is due to historical developments in the library and we must live with it. The Python community has recognized this problem, and in Python 3.5 we will have the `@` operator to implement matrix multiplication. \n", @@ -1570,7 +1584,7 @@ " self.P = np.eye(dim_x) # uncertainty covariance\n", " self.Q = np.eye(dim_x) # process uncertainty\n", " self.u = np.zeros((dim_x,1)) # motion vector\n", - " self.G = 0\n", + " self.B = 0\n", " self.F = 0 # state transition matrix\n", " self.H = 0 # Measurement function (maps state to measurements)\n", " self.R = np.eye(dim_z) # state uncertainty\n", @@ -1629,7 +1643,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 20 + "prompt_number": 16 }, { "cell_type": "heading", diff --git a/README.md b/README.md index c2a75d0..f93bbac 100644 --- a/README.md +++ b/README.md @@ -86,7 +86,8 @@ Contents * [**Chapter N: Designing Nonlinear Kalman Filters**](http://nbviewer.ipython.org/github/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Designing_Nonlinear_Kalman_Filters.ipynb) Building on the material in chapters 8 and 9 we walk through the design of several nonlinear filters. - +*[**Appendix: Symbols and Notations**](http://nbviewer.ipython.org/github/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Appendix_Symbols_and_Notations.ipynb) + Math symbology used by this book and by the notable books in the literature. Reading the book diff --git a/mkf_internal.py b/mkf_internal.py index 8446157..caedcbc 100644 --- a/mkf_internal.py +++ b/mkf_internal.py @@ -11,20 +11,20 @@ import stats def show_residual_chart(): plt.xlim([0.9,2.5]) - plt.ylim([0.5,2.5]) + plt.ylim([1.5,3.5]) - plt.scatter ([1,2,2],[1,2,1.3]) - plt.scatter ([2],[1.8],marker='o') + plt.scatter ([1,2,2],[2,3,2.3]) + plt.scatter ([2],[2.8],marker='o') ax = plt.axes() - ax.annotate('', xy=(2,2), xytext=(1,1), + ax.annotate('', xy=(2,3), xytext=(1,2), arrowprops=dict(arrowstyle='->', ec='b',shrinkA=3, shrinkB=4)) - ax.annotate('prediction', xy=(2.04,2.), color='b') - ax.annotate('measurement', xy=(2.05, 1.28)) - ax.annotate('prior measurement', xy=(1, 0.9)) - ax.annotate('residual', xy=(2.04,1.6), color='r') - ax.annotate('new estimate', xy=(2,1.8),xytext=(2.1,1.8), + ax.annotate('prediction', xy=(2.04,3.), color='b') + ax.annotate('measurement', xy=(2.05, 2.28)) + ax.annotate('prior estimate', xy=(1, 1.9)) + ax.annotate('residual', xy=(2.04,2.6), color='r') + ax.annotate('new estimate', xy=(2,2.8),xytext=(2.1,2.8), arrowprops=dict(arrowstyle='->', ec="k", shrinkA=3, shrinkB=4)) - ax.annotate('', xy=(2,2), xytext=(2,1.3), + ax.annotate('', xy=(2,3), xytext=(2,2.3), arrowprops=dict(arrowstyle="-", ec="r", shrinkA=5, shrinkB=5)) @@ -124,4 +124,4 @@ def show_x_with_unobserved(): if __name__ == "__main__": - show_x_with_unobserved() + show_residual_chart() diff --git a/toc.ipynb b/toc.ipynb index 59af470..f9603ed 100644 --- a/toc.ipynb +++ b/toc.ipynb @@ -122,7 +122,7 @@ " \n", "\n", "\n", - "[**Appendix: Symbols and Notations**](not implemented)\n", + "[**Appendix: Symbols and Notations**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/Appendix_Symbols_and_Notations.ipynb)\n", "\n", "Symbols and notations used in this book. Comparison with notations used in the literature.\n", "\n",