diff --git a/06_Multivariate_Kalman_Filters.ipynb b/06_Multivariate_Kalman_Filters.ipynb index d50fc04..493199e 100644 --- a/06_Multivariate_Kalman_Filters.ipynb +++ b/06_Multivariate_Kalman_Filters.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -250,7 +250,7 @@ "" ] }, - "execution_count": 36, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } @@ -258,6 +258,8 @@ "source": [ "#format the book\n", "%matplotlib inline\n", + "%load_ext autoreload\n", + "%autoreload 2\n", "from __future__ import division, print_function\n", "from book_format import load_style, set_figsize, figsize\n", "load_style()" @@ -376,7 +378,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -385,7 +387,7 @@ "data": { "image/png": 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VVcXrLZ+IdbH5x673eKpzQ8KyD06dx2mtBzquH41GJ9XxyZdspjbOJqJc6IhQ\nvmzfvp0jjkjMS5EkialTp9Lc3ExLSws33ngjBx7ofJ4IROR33JBlOSZ0x1rsJuNU/sWyymd62ZyS\nqkwTT/8L4B5ZFG44NnOS2qyjMKd+EmXPg7FFktKF8s+VGCf8T1G/TzlEfi3LSihBlk9VhvGwMlQS\nkrER1XgGU2qhuu9IZIZGrWOqi1H0a1K2EVU/gV//r7T7MaQDkIxtsfcyPVQNnkPI+x2C3pvxqd9C\nkkYeyCP6xUjaHtzmQ8P9xKBKv5Sg6za8kTOQXD8gGJmFZTn/TQutdpGOd/s7eCBJ+PoVN5+bfwS1\nLm/etaErlY+07EtbsI/1cfaPF3ZvYY6/gUOmjE5ymoyR33xIFqypKkAU03pRTKHc1TXa129ZFt3d\n3XR3d7N27dq8EucnE+M/vjXBcLvdjstlWcbtdlNVVUVdXR319fVUV1fj8XjKYpix3Hy/hmEQiUQY\nGhqir6+PgYEBgsFgxpufb+N9SO6RoXrLAumYH1JbW4vP50ubsKZ//G6saGJBeWXb76D73cK/UBzj\nYTOxo+WhUIiBgQF6e3sZGhoiEonkfJGsr6+nrq4Ov99flATACUn0XRTjZWRrC4q53ln4Mh3Z2pCy\nCp+JjMQQEsEUa+zdlXI23vDPRy33hX+Ia+BWAtoqdPOA4XWN4zCiB+A1EteXCOKLXkpE/TzV0f+g\n2v3q8I/HAfsmHv9AqmkakUiEcDhMMBgkEAjEXsFgkFAoRDgcJhKJJDxwxQ8xbwvs4fdbXyV+r6ok\nc8n8w2ny1qQ9BhMVWZI4b84hTHH7E5b/Zcdb9GqjzwshfrMj+TgVeg+2H/ri7YputxuPx4PX68Xn\n8+H3+6murqaqqgq/34/P58Pr9eLxeGKzfNojkZn6093dnbFPzc3NeX2X66+/nhUrVlBXV0dTUxOn\nnHIK77zzTsbt3n77bY4++mj8fj+tra384Ac/yGv/Y4WI/BYZW/zavsd4G0M5X4hkWR7XiS7sYfdC\np2iu2vDbxAVWM9LU/bLbWFGJHns3ruc+GbM/SKqF69FTiV64Ma/+OJGqhFexz49Cp2K2z99kG085\nPKyVM5a+Ddlsx7SmA924ok87rhf2XY7buDNlO1H5PFTzH+n3hYTJLGR6HD93mW+hDJxFuOpXRN27\nMYz5VEfPdVxXZg++6BUEXb/Gr5+P5bmbIa0wz3u23sYeLcit7a8StUauQRJwdusyWj21GIaBJElZ\nRewmGn4NUk2eAAAgAElEQVTVzQVzV/CLjc+jW8PfP2zq3Lv9Db644APIccdAiN/sGM/jVIyIcktL\nC5/61Kfo6upi3bp1WJbFnj0jeS6SJDFt2rS8+vfss89y2WWXsWLFCkzT5Oqrr+aEE07g3XffpaGh\nwXGbgYEBTjzxRI455hheffVV3nvvPS666CKqqqq44oor8upHqRHit8jY/s1yF7vJjHU00h52z7e2\ncXxSVTgcHt4+MoCqb0g4q4355+XWrwUfxXzzRJTBJ2PLZKkNee3dmEtzaytd30thM4m3MuTzAOFk\nZbAsa5T4LSdLTLlhRncgSQauwafwDP6aoZb7UXXnCIilNKPq61K2FVVPpCp6Sdr96dJRyPrbadeR\nMfEH/otB8xEU6c206yq04dW/R1D9X/z6BeD5AyF9WUm9jUO6xt271hA0Ekd1Tp62mH089YTD4ZTb\n2r7NYtkuypVWfz3/MWP/hAkwNg3t5vnuTRzdtM849qzyqKQ0p1RC+aijjuKoo45i06ZN3Hjjjdx1\n111omkZ3dzcdHR309PTkPd3xY489lvD+rrvuoq6ujhdffJGTTz7ZcZt77rmHcDjMqlWr8Hg87L//\n/qxbt46f/exnQvxOFiRJyiprvNwote0hPkkt3woYo5LU9l4U7KS3mjU3IalxglKXMI64MlVzKdE/\ncT/yqulIrhHRp6y+pmjiF3AUv7kSX5Uhn2NqJ1mmqygyUcTDWGBGO5AkD97ub+AOP4opN6KYGx0r\nOejyAhRzfeq2UJGtABLpq21oytn4Aisz902qR9Y7kbV2QlVX4TOcK58AqNZaPPovCak34o9eBK57\nMJXlsWz4XKtdpCNqGty76032RBMfsD7cMJcVda0Zt7cf+FKRzpM8lkl8xeCDU+fzTn8nG4dGhrwf\n3fUei2qamO6rBUTkNxucjlGlHqcdO3Ywe/ZsYHjUeebMmcycObOo+xgYGMA0zZRRX4CXXnqJo446\nCo/HE1t20kkn8d3vfpdt27aVZR1iIX5LQLKwqQSKPctbcm3jfBJVsp1Jze67b+cDCWe05V0KnmrH\nbdLi8mLs/w3Ujd+PLZKkdtj6T5h7XO7tOZBv0luy2M3l7yRJUkKSZbYPaeORDFlpNyNT34MkGfg6\nPo0rugaAcN0VuLV7HNfXPF/Ga92Usr2o8jlc5l/T7tPChWVWI5M6Mhrbn3ounqHbULUXCUtfJ+L9\nPB7rdynXd1nPYRrTiShfwa9fQpBVmByY04hWJnFsmCYPdr3HjkhiGbeDa6Zz3JT5We0j2z5kQyZx\nPN5CWZYkzpq9jJ+uf5rQ3ii5YZn8YdtrXL7ow6iyIsRvFkykYxQvfkvF5ZdfzrJlyzjyyCNTrtPR\n0TGqH7bnuKOjoyzFrzDvlYBK/DEVI/JrGAbhcDghSS0UCmUtfBVFwev1UlNTQ0NDQ1ZJarBX1O1Z\nh6zsTuzPwZkjYim/yxHfxoqOlAiSJHD962t5t5dMtuLXLvsVCATo6+ujv78/lviXzU1dVVV8Ph+1\ntbXU19dTU1OD1+vNaXSiHKpTlDNmNIhkDlDdfkJM+AJY7pmopnOiiCXXIFvbHD8D0OUPoJpPpd1v\nlBNx6c5+4mQM5YOo2osAeAd/iqHNRJPOSruNx/wTSB40+TP49MuQjXdyui4kJwElJwA9P7CdtUOJ\ntYj3qZrKGbMOipWeyjYBqBjYAt0piS8UCiUk8iUn8WmaFrNvxYv8YlPv9nF6UpmzneEBHu9YH/sO\n8VTivajUTKRjtGPHjpIKyyuuuIIXX3yRBx54IOM9uNIQkd8SUIknQj7it9AktWyG3bNBkiRq3vgR\n8Yfdinow90t/c8/QOYy556O2j0THpOh70LUWmpbm367dVgpBWag9JP6YVmolhkrqs2mayPpmqjpO\nQI6ryqCr+6KYzlVCdPkgFCu1T9fEh2R1I5HeB6/LH8cb+UrGPurSAjASJ33x919DsOFnoA7hth5x\n3o5FmOZc0EMY7mtQrWfRDQXk/TPuMxOr92wfVb+22VvDhfMOw6um9iqGQqGE/ABFUVAUJW/bRT4U\nMkFBuqhytixraGVtfwdr+tpjy57u2sh+tc00S6KmbyYmUtJkKcXvypUrue+++3j66aeZO3du2nVb\nWlro6OhIWNbZ2Rn7rBwR4lcAZJfwVmht2PgkNTuiUwxkWcbT91xCbV9z6nEFT05hHP0jlFW3IbmG\nv6ckg+uZy4h++pmC2oXRx9uOMuVjZYivKlIKv7mI/DpjmiaYUdyB3ycIXwCt/it4NWdfbdi3Er/x\nLSx8WFITptSMyXRMWrGkmRjSIiRpCF1ajmK9gcTo423hx6IGOcXMcPFEXefj671+1HJ/7xUEp/wG\nSR7CxTMJnxnMJKxcj7/j00iSn0DjbUhaG1SrWNEtSK55Gfebik1Du7m/bU3CsmrVzSXzDseXRvjC\n6HPRPu+TiX+YTGW7KEehnI3lQpIkTm89kC2BHvqjw5YXC7h3++t8sXUFHllNaFOQyESK/La3t5fE\n9nD55Zdz//338/TTT7No0aKM6x955JF861vfIhKJxHy/Tz75JDNnzixLywMI8VsSKvHH5OT5tWt5\n2mI31yhksse0VBUwlJ51SO4R36NlgX7ktYU37PJjNn8iceKLoX/D4C6omZ53s6Zpjnq4yGUa4WTf\n7lj7b4X4Hf4bSvpu5Oj7uIfuHvW5pVQhazsTl+En4roIU5pNUPoZkhFBiu5GjuxCjmxFjTyNHHmf\n4OxVeHd9F23K+USqvwbKEC7zWVQej5U0i0qn4NL+krGfFhKmNB/ZbHf83L/niwSm3olEGJWXh78b\n9YTk/8HfcREyOlgDeAZ+SrTqLKo6DiNcdyNR66PI7twTa7rDQ9yx5RWMuHNIlWQunnc4jZ6qnNtL\nRS7VHuzzOZ04HouZvOw8iUzYAvhTzUu4c8drseV7tCCP7d7IqU1ZlnacpBS7xu94EgwGqaoq3u8G\n4NJLL+Xuu+/mwQcfpK6uLhbRrampie3ryiuvZPXq1Tz11LA165xzzuF73/seF154IVdddRXr16/n\nxz/+Mddee21R+1ZMhPgtAZUofp363NfXl3M7Yy3MAFzvrUp4b0X90HxQUdrWj7sZ+Y8PxapISIqF\n+s/L0E91njbWCdvKYEfNc42Yj7eVYTzEbzknjZqmiaRtQw6vR5Z2IVmJE1ho3hNQjRdG1peaiLi+\nhGktwNXxAK7aZ/F1fS9l+5IZRom24ev8b+gEE9BrPkp4yvVYLhlZaseUF+MzMtt6dOUolPBradfx\n7b6Q4LT78FrfQ2EzIflX+LsvR2YkEc2l/RvDewy656P4+1cSlFSiyjnISvbllAK6xq2bX44la9mc\nNXs5c6qmZNVGKaJ2dhvZjJoUu9pFPtjtz/PWc3hdK//u3xH77PWBnSyumsq+VcM1XoPBYNFtF5XO\nRIn8luoc+/Wvf40kSRx//PEJy6+99lquvvpqYDiJbfPmzbHPamtrefLJJ7n00ks59NBDmTJlCl//\n+tdZuTL/vJtSI8RvCaiUH5N9wc639BiUxzS3yq7EpB/dl3mYJmuqmrBqP4QUfD62SN79D4gMpawk\nEX9cM07H7EC8PWS8p74eD+ykI6Asb86StgXJiiIH3sYlPTHq82jtZ/GHP4cuLUZzfwlLr8az+Yeo\n2ibCTV9BHUqdyGaq05G1TQnLZMA9+BjuweH6m7prHsE5qwi7b8CnfR/JYfa4WF/U/8Tb9/W030cG\n/N1nE2z+KxJDeHZf7xgp9gz8hODUu1AjL+Lr+xqGshDTe0RW56duGty55RV2a4GE5R9r2ZdlDcUt\nzVRKsj0Xx8p2cWLjPmwK7mF3dMR287eu95g1u44qxV0y20UlM1HEb39/P/X19UVvN5sRjjvuuGPU\nsqVLl/Lss88WvT+lQojfSUa5JKkVEzm8CeICUJGW43GeZDo/osf9CvffDoyb9c1EeebrGB/5TWyd\nQo+rJEl4vd4xjZhnS6kjv9lExsulXqsV3oGlTKHmraUEFt2OujtxAgsTGVNtJOS5CUIDeNd/F9kc\niaAaNcvxtP82udkYWt05acXxcBsfwbfjGqRoB8E5t+EyVuE2/z66r/ixrDrkDLWCAWQMXAOriPgv\nRTGcZzOUMPH2fpPQlF9Rtedc/H2XEpzye/AekLZty7K4v+1NNgcSZ6E7tGEWxzcX8UG1jBgr24VL\nVjiteQm37ngVc683PGBEebR7PZ9uSf93cepHLraLTL9Je91yY6KI37a2NmbNmjXe3ahYhPgtAfaP\nvxyGbYuZpFaWUciutUiukZu7ZUFw0Tm4ilmLtnERlnspkj4yu5LS9gfC4ZuImlbeM9TFnx92SbJy\npBTiN75ecTaR8WJFsAqZ/cuM9oB7BrVvzMbwzEONvEx8C5bkJ9RwM9LgdrxbPu+YjCZZYSQrknIf\nhu8gPHtuTtsP3X8E/q5VSFYIdf2ZhKZ/i2DdJ/BGv4tsjZT709TTcAX+lPX3072fwNt2BaHpP8Tf\n5zwrk2K04wo+SLj6G3iHfoJ78Jdo8jXgnpGy3ac6N/Bqb1vCsgVVjZwx6+Cc/wYTRbjEU6jtYp57\nKsdOXcD/7X4/tt47Q128M9TJkurmovd3vKtdFIJT3yv1HGprayt5jd+JjBC/JWK8xG98FC2fJLV4\n3G43VVVVZX1xUNbemfDeivoxq6djmmZRKx9Ej/o57n+egH0oJJeG9dw1hA/9dlbbJz9E6LrO0NDI\ncHU5PChlSz59jX8Iyycynuu+co1gZRruNY0QKA3UrJmDZA4QabkMX+A7sbZ0dT/C9T/GimhUbf+s\no/A11WlI0V3p+2QGkaz0DwOSGUGyRmZE8+36MWb3dIILfoXLegy3fgcSoCtHUxX+XMbjAGAqMyAa\nxh1agzl0DJr/bNzBex3XdQfvJ9jwC3R1KZ7wvRiew4kqFyA7/N5e3bOdxzoSp3Ce6qnignmHoZbb\ng3QFkEoofmTmfqwb6qI9PDLK8Gj3evabMoMqxZ0xqlwqKsF2Uc73t3S0t7eXbSWFSkCI3wrHvtEX\nYyY10zSJREaiUpXg75J3/jPhve5bDBRHTCb4dmuWMNVsRVVGkkuqtt3GUBrxmy75r5IqKORzDsT7\nnjVNy6teMRR/mu144m/M6cSyLEl4fT6q31yIbPRjMmx9kc3hKGuk6jPoykn4Xz2d0AG3IRvOiaLa\nlLMz+n0l3bkqQ2wdudFRQMv6LqrXn0l42mcJTl2FO/obJCP7Yx7xX4J35w0AeLt+TmDencjKalTj\nfcf1fX3fItB4D/49p+Pr/xamuhDD+8GEkaENg138aXtiSTO/4uKz84+gSi2mMUmgSDJnzDyIX2z6\nF0ac/eHBnWs5f+6KtIGAdKI42a9cSsbCdjHRavyuWLFivLtRsQjxWyJK9aNKTqbKtS4spE5Ss2vN\n2pS6tE8xkMLvJ/p9p58A5Nf3TN7TgQP+H1Pe/a/Ye9kdwLfhPkKLPg3klvxX7OmkS0m2Qj1+dqxc\no7vJkXHDMByThjIlD5UCr1uneu0KFL0bgOi0z6OGHsLCTaj+R0h9nVRt/Qym7EdKmkwinmL4fbUp\n56H2P5m6r923Yvb8icDiv+EK/THDNxvGQsZUFqFoI9nbvi2fJ7TP3Si95yNZo6dPlqwg3v7rCNX/\njqq+z+Lt+wqhKXeBd3gCmJ2hfu7csjrmQ4XhkmYXzTucaflMOW73dYIMWZeCZk81R0+Zxz/3jPwd\n3+zbyZt97RxUnzqpMJcgR7aVLsopmpwpYmwV0yI3hpR6dreJjhC/JaKYP6ZksVuqJLViTHE8pnS9\nNdrvu/Csvf/PfHGMj5pnU/EisuBUzDe/g+zqjS2rWXcT8rKLcvZDV3LkN16U5nL8kkkXGY+PNOWS\nYV/sMlR+czu+rT9EiYwkgen1H8Y78F0CjXfh2XAjrsFXAIg2nY2rb3Ti2UgHI1n4fX+Rtj+Gdzme\njl+nXUc2B1EC6zGNxWi+s3BnEMFR70dQ+55LbAMNT/sP0/p/1ehrRKPriXjPxhO+F8/QLwgr36Pf\nquPWzS8TMRPPh7NnL2d+dWPavgjyx7IsPtQwh3WBbnZGBmPLH2h7iwXVU6lWPQXvI99qF+Vqu7As\ni0BguAJJpVW76OjoYMaM1F57QXqE+C0RhfxAxitJLdMQUbmhrB1d39esHp58Il10Mt57muuFNzT/\nEqrafhp7L1vb8Axsgmm5TflayeLX9ivnevxKXa84nxtzupuyK7oLNfIurr6R6X9NVyumu5VQ9Q/w\nv3ERshk3pfGUD+HfcanjPk11GrLR6/hZrP9WEMnKUJnB0jKuY0keLMlP1fovElx4HZb/YjzB21Ou\nr3s/hbf986OWq6E16EPHoPnPwR38g+O2it5GpPq/0L1H4xm8ATX0OI/s3jc285jNJ2Ys4eAilDQT\nkd/UWJaFIsl8sml/ftv2Spz9QeMvO97i/LljN0SebDsQtoviYxgGqiokXL6II1cicjnpMw23Z7Ov\nYsyk5jQUX85DQqn8vjAi3O0HCfv45npsR1kZjr4W646fI7n21qGVQX3u6+inp4n4ZUk5HmunG4Jh\nGFkfx+SHsFyGV0tF/I0p1YOhqYdx9f0LydyJFJe8Fpj1c5Se5/G//12HrTQkM+iwHLTG81EHHk7Z\nJ1NtRopm8PuqM5G19AlzAHr1h1F6XwLAv/EqQguuIVz9NbxDN45uU54OukWqx+NE/29iCTTNezq6\ndSj+9RcSnPMTIu6vg+TnrBn1vD3Qhb73uH1o6jyOnrYgY78FxSFf+8N4MZlsF8WqdmEYRvlVXqow\nhPgdBwodLobSzKRm/wjjf9jlKMhspOT6vnv9vgDRaJSBgYG8Eq1soesYNVdUzGkfQel7dGSbvmcg\nGgSXP/u+l/GxzrUMWTzFmvRkvKqlwPCDk9L3PJarHl/bVbHl4ZZvIVmKo/A11UbkNJUcjKplePp/\nmfJzreEzqEP/l7ZfWv25qHHnXSqidSfj3TDSb9+m7xFuvZxw/bfxBH6UUJ4tUv0l3O03pG1vxP97\nQazKhOY9FV36EP7NwzM4uQKvIgfeRB14Ennmd/jOvJP4/pYtLK1r4dSZB5TFeT3Rif+9fKhhDuuD\nPbSH+2PLHmh7i/lVU6lxFW5/GC8KtV3kM9pXCLkK5WxtFx0dHbS0tJS49xMbIX5LRLy4KWWSWrGR\nZTkhqmeaZnk+Yabx+0L67P1kco1O6kf/DPmvjyZOevGvazGOTS8iknESv+NBvM0mn0Q1VVVxu92o\nqlrU8nLjhTz4Jq6ue9CnnohkDIuHcMu3sPqCyGxy3EZr+QzqQOpENMkcSu/39a7Aszt9fV/DuxTP\nrp9l7L+lNCKbibO+eXf8DxHzEsKN38c7dDUSexPdmIeqOX8nm2H/73/v9f+uRPN9Cp1j8G++PLaO\np/0nBBb/GXXgcXzt36exJcDHp53KUdOXIhfpWlXO1qByIP74KJLMp2cdxM3vP49hjdgf/to+tvaH\n8SKV7SJ51Mrr9aIoSsXYLi677DJeeOEFpk6dSjgc5uKLL6alpSX2WrJkCUuWLClpPycKQvyWCMuy\niEQisTJPlTKTmpP4LTcsy0J+87bEZXF+30wU/CBRPwfLtS+SMVK/VNl8Z17iN56xurnbF3NN0/Ie\nebBnoxuvKa1LhRXYgrf9ZrTmi/Du/CawN+LbOwB6BKX3acftjLrleLb/yvEzU52GpO9Mv2OjL6OX\nVzKGkEj/tzLVqcOjEA54dt5GJHomoek/wTf4TaLuE1EHnndcNxk19Cb60FaC9Tdj6X6qNn42sW8Y\neHdcR3jWTfjbLsfbcRPHLzoa3QTDGhmiFTVaS0fy9WO6t5aTmhfzj7g6y2/27WRNb3tR/NeViJNn\nvJJsF7t27aKzs5POzk4ANm1KfHC99NJL+eUvU48wCUYow5DexECSJEKhEJqmZSUgZVmOTSpRX19P\nfX09VVVVuN3uMY28lmPSm+2JDoVCDAwM0Nvbi5TG75uMLMt4PB6qq6upr6+nrq4Ov99fUNKVcdj3\nEt5L6gDyur/k1MZYil9b7AYCAfr7++nv7ycUCmUlfJP7qShKwccvm32OdaTPjA6i9j9LtOpwJHMA\nNfweoRlXQ98Qnvd/jTH9RFy9/3TcdjhZzdkiok05N319X2Uacga/r+Geh6ztSLsOgF59Aq7df0v5\nuaf7T6g7niFU/xuivjNx9aQuvTZ629+iywfj3fY9x8/VwGtI5hBR33IkTHzbvo4U2kAoFCIQCMRe\nwWCQUChEOBxOeAAzDGNMImyTBUmSOLZ5Ia2+uoTlD+x4i4Ho6PJ1k4FC6/za1gRFUWLWOLfbjdfr\nxefz4ff7qaqqir38fj8+nw+Px4Pb7Y4FDBRFySs3p6urK+3n+VohnnvuOU455RRaW1uRZZlVq1al\nXX/r1q3Isjzq9cQTT+S1//FARH5LiNvtJhQKOX5WrCS1YlMu5c6SJ+5IviGq0a1Jft8TR7VhC7RS\nDMWbi07Fer4OSR3x1Cmrr8Xc97Ss2yil+C1mGTKAgYGRmaMmojgxTRM5tBkpEkAa2ooS+Rfhpm8i\n7e7Gu2lvaTEpimSO/j0b3jnI2taUbRvVh+LZeUvKz7W6c7Pw+16Ea0/mhyu96ki8Oy5Pu457z6OY\nkkJ0zpfI5YoTafwsnk0/Jzz7v/G/f77jtt726wgsuBNl05mokQ14+h8iUv85TLxA9h7Ici0vVc44\nRTVlSeKs2cu5acMzMftD0NC4v20NF887fFIdV6fzrpQP7/H/FqvaRXd3d9r95it+A4EABx54IBdc\ncAHnn39+1sfl8ccf56CDDoq9b2hoyGv/44EQvyUkWfyWIkmt2IzX5Au5+E7l/i1IrmjcthDZ9+xR\n63k8ntKWmtnnEtStIx5MSd8AvZugIbvM9mKL30LKuKUrQ5b8t5ho4tc0TaTgJpS+1/G+8/8IHvZ7\npPA7SL19ePYKX716IXJoo+P2WstncPU/4vgZAJKZ1tJg+Jbh6U1fu9dQ5+ENvZV2HQuw5PqshvMk\npRa5820i076Nt/tHGde3AMN7BFUd52Ep1USaL8PbOXp4VTJDeDp/Q3jGtfh3Xot354/Rqz/EkLos\ni17F7S9LkTw0NJQxk75UlotyIt2xmu6r5SMt+/L3Xe/Flr070Mkre7ZzeOPkmSQhleVhvMmlHxs3\nbqSzs5OrrrqK//zP/yQYDNLR0RF77bfffnn14WMf+xgf+9jHALjwwguz3m7KlCk0NTXltc/xRojf\nEmIPh1SSN3KsIr+2lcGO7OYSmfRvfjBxge6lZuZ+9Pb2jmn1BOMDV6O8/z9I6rBHWpJBffbr6J/8\na1bbF2oxKbREXjmWIRsPpNAOlJ7n8b39VYy6ZRjVB6HueiEmfAG0uRfi7rzLcXuzahHKbmdhaqrT\nkKPp7QqSFUqbDAcg6wMJJdcc9+VZiBTJXAoNwKg9Et+rlxLZ/7totWfgHrg/7fp69QkoPcOTeXjb\nf8/QIfdh9P4NRds+al3XwNNEGz6J4Z6Dom3Dt/1rGHPvJCTPzqpvuRIfHUtHqcpOlSvx3+OYpn14\np7+DbcGRWtMPta9lYfU0pniyr1JTyUyEGtE+n4+5c+eye/duzjvvvHH/DqeddhrhcJiFCxeycuVK\nTj/99HHtTy4Iz28JkWW55N7IYlNK8WsYBuFwmMHBQfr6+hgcHMzJd+pyufD7/fh7Xkj4zPLOja2T\nsLzUIs3lxWw4NmGRvPsJ0DNMVLCXfPobfwx7e3sZHBwkHA5nJXwVRcHr9VJTU0NDQwM1NTWxbOd0\n56fTZxNFAJuRQZSeF6l6+6tIQGi/63FvvCVB+AJY1bNQQusc25DMwZTCVJtyLurASFR4ODpbham2\nYLgXEvV/GKwQ6Y6m7t4XWXs/43eJ1pyMu+PujOtZKFhyDTLge/cHRL0nEvWlrwCg1Z+Ne+tINQr/\nm58lNPvHKfvt3XEN4dbrAVDD6/AMPILfK2X0QJYSWyAbhoGu67Hp3MPhMKFQiGAw6OhLthOX7QfM\ncvQlZxJ2iiRz9pzluOWR4feIqfPH7a9jltl3KRUTQfzGM579r6mp4cYbb+T+++/nH//4B8cffzxn\nnnkm99xzz7j1KVdE5LeEVOKPq5gJb6ZpJkQmc20rlU1EHnwv4cw1m45M2fdSl97Sj/4Z8t8OHCl7\n5jJQXvpvjKOck4LiycZiUqwyZLlOv5zczlgzFvs0TRO5fw3+d4an743M/AxyqHPE42uvh4yk73H0\nuOpVByJH1o9absm1aHWfIlp/MkboQCL1XwEjgoQMehgpOgTaEIZvXyQtTLB5FZIURI6uxzX4CLL2\nfmx/Wt25uHvuzfx9PItQgz/PuJ5eewRKzxux975XP0/wA/chd3wNRW8bvb5nX6Rgf0KkRNYHcO18\nhMi0z+Pt/t2obWSjD9eeB4lM+xKe7lvw7vwhRvVhGLUfRlGUvDyQuUyuUgj5TGIw3paLbITdNE81\n/zFjCX/ZMTJKsSnQw7+6N/Phpok/CclEEb/BYBCfzzeufWhsbGTlypWx98uXL6enp4cbbriBc889\ndxx7lj1C/JaQSvxxFTLLW6HD8FlNf6trICVOE2suPC22ffw+xyQ607gIS1mAZI2UnFE2/C4r8esU\n+S00Ua1U9aDLdUKOfDFNE6n3XVzdTyEZQ0QbjyU67ZO4OkfPwqbPOAW137kkmNZyNp7+OwCwJB/R\n2pPRa07A0t24192LIm3G/8oXUvYj8IHb8f/7MiRjuDyZ3ngokfmXYtU3ItGPrL2D6V6EEnkvZRsA\nFiqWXJ3Vd9ennIxn7YjPVwb8r1xM6Ig78O+4GMkcTPyOU76Id+01o9rx7LyHwEF3YrgeQ4k62B/2\n3Edw/q249kxBNvbg3f4tQgtWQdW+afuXynqQPNW7LMv4fL6UU1THLy8V5WK5yFbYfaBxLmv7d7Fh\ncCRx6tFd77K4tolmb01e+64UJor4bW9vp7W1dby7MYoVK1Zw++2pp1EvN4T4LTHjUbKpEOIn57BJ\nJbYrk3AAACAASURBVHSSJ+/IdTYw28oQP/SZCXnT35HiVrN0CWvO8bH24hmrShXGod9FXn1h7L2k\n9iKv+0vGyg/J/Y1Go/T39+cc3U327goyIw1tR+19BU/b7eg1S9BmXIQU2YNr1+gyYdEZ/4F/29cc\n2zGrF2OEFhJp/AqWVYPr/YfxvvxFZMBU/eitx6XviGnEhC+A2vMqas+rsfd646FEDz2T0Ixf4um+\nASW6zbEZ3X8YysAbjp+N2qV7OrI+kLBM1ofwvPFtggfdjH/HJTEbh6k0YlGLrPc7NYXvna8QOuCX\n+LeMrv4gAd62qwnN+QX+LReght9D7X0EzTMbWS3cZ2pfq7K5bmSqyVrq+qy5tJ0uilyoSJYkiTNn\nLeMn6/5J2Bx+sNYtk3u3vc6XFx2FIk3c60ehZc7Khba2NmbPLo1/vhDWrFnDjBkzxrsbWSPEb4mp\nNPEL6Wd5s8WuHeEtlpUhW6RNSclu0lTY27fxqlRh7n8W1ouXIblGZtVSXrkqpfi1o7uapo1ank2f\nx6NqiNMDUaVi6mFcu55AsvZgKlWEF16L/5EzCZ/0W2Rtz+gNZAspSfxZyERmfglTmoLV04T3319B\nTvL9Rmd9EqUr9SQSJjKYGfzhWj+urY/g3ngHoSN+hKTuwdt9A7KR2E+99qN4tma2PJie2UiRAcfP\n1MAmrI1/IDz3Onyd3wEgMu2reDamnrxF1gdQO/6ONu1zeLr/d9Tneu1xmHIjQ/MfRNZ34O57ED1w\nJGbNkWNev7yQslNjNYkBZP/QHi+KU1mm7PXiqXf7OK31QP6w/fXYsrZQH//XuZGTWlLXS690Jkrk\nt62tjTlzilulIxAIsHHjcDUb0zTZtm0ba9asobGxkVmzZnHllVeyevVqnnpquF75qlWrcLvdHHzw\nwciyzMMPP8wtt9zCDTfkNtHTeCLEb4mpxB9YsvjVNC0h4SMX7GF4W7AVejzk3a8kvDfrDoj9f7wi\nvwDGwi+gbr1xpC/GZtj1Gkw/JNaXUpQhGyvGMpnQfjjQdb0o0a54TNNE6XoRKbobT+e9BJf8HP8T\nn8NsWIQ8ODqhzfQ0j5pcQq8+hPCsbyO3vYZ78CE879/huC9j+ofxvvmdlH3RZ34MV8dzafsbnX0G\nrra/I2t7qHru8xjV8wgddhOK8R6enpuRzOGosam2IOsOwj0JrfEU3FvvTPm5q/tJjNpFRBo+h7tv\nFYZrMb6Ac6KfjWfXHwkcdCeq6/EE+0O4+StYWh3VT3+c4BH34F39VaILPg+mDIGtUDM/Y3/jGQvx\nku15ZvelXC0XhmEQCAQA55rJB1Q3s7S2hbUDHbFtnuxYz361zczy15esz+NJ8t+iUkfJ2tvbOe64\nDCNKObJ69epYm5Ikcc0113DNNddw4YUXcvvtt9PR0cHmzZtj60uSxHXXXce2bdtQFIXFixdzxx13\ncM455xS1X6VEiN8SU2ni1+liHQ5nPxtQqYfhJa0tYXILc/bI5BbjFfkFMD54DcrGm2P1hyUZ1Gcu\nZ+DUJ8a0DFmpKLX4tR8O7OnAUxWkz9Y7mQq5dy3eNVeh7XcxocXX4X3uSmStj/BhV+Np+8Wo9SNz\nL0LtGa7WYKpTCM/+LlbAwv/gmYQP/z6u7Q+l3JeluJ0jyXvRm0/E+95P0h0WzNp9UXp/HHuvDG2h\n6p8XoDeuILj8VhTtJdx77gEru/PD9C9B7U8//al3068IHvQzQq234N72+6za9b19GaGDbsG/5QLA\nIjzjWqTBQXzrfgCAZ90NhJf+kKq3rsC78WaCS68n6rsYWR3fxJ18ySaKbJNNFHk8LBcfb1zIlkAP\nAWP4mmVicc/WV/nSnCNwK2rRLRfjzUSJ/O7YsaPokd9jjjkmbbDojjsSH/DPP/98zj///KL2YawR\n4ldQUFQSxnAYfs/GUZNbmPuNTG4x5qXO4lHdGC2novb8ObZIDr2K1rMVsyr7WXdqamoqpiZ0IeST\nHJmtQEglkpVwF751NxM+4NtIqhv3a79CHRhOVLT8DSiBLaPaMuv3R+2+kcj0L6D7j8L33JXIQ8MV\nEazaOcj9zlFRE5Cig46fxb6Pux45lH5aY0kPIFmjj43asxr1yXPQZn+SwEH3oe7+R9p2ACzZj0V2\nYtP/5hUMfPg5PENvZ7W+bA6h7nqUyLQvYnrmI+96A+/2P4z0t+8NtDlno1cvQh3agO+dqzGnrMCY\ncuiYR+Asy2JQC9A51ENXoIeuwB76wgOosopLceFWVNyKC5fswrX3/17Vw6zaFpqqpuRu1cohmjyW\nlosqxc0pTftx766R6g/dWoBHOt/jlKb0kyVkk7hXTkLZ6biVS99ypb29nVmzZo13NyoeIX5LTDn+\nwAqtylCqigIZ9/veHxMX6F6oHhGWYz0186gyZMuuoeWxB5DUvV47Ber+fSW9x40eFrfLkCUnCZar\n8C3Gg0WhD1nZkupGV7P7RfTGwzGnHonn39fg2vnscL+8jUgOlgELsLxNBBf/Htfbf6Jq83mJbeoD\nSCkq3ZrTPoDSl35GNklPL45N9xSkUGfaddzbHyTafBSmMpdIyxdxd/wm5ZTF0fpjUTv/mba92L69\nM1F61hFe9GP8b52fdoY6G0/HnxhsfRjX1gcShK+N753rCKz4X6pfPhPJiuJ55xpCy3+Vtf0hV/ES\nioZ5p3sTb3WuZ9OeNjoDttjtIZxlLe5kqt1+FjTMYp8ps1kwZTYLGmaxYMosGn31Bf9uC7FcJOdf\nZJtrsm/VNJbVTOeNwZHJUV4b2Mk8XwMH1KR+aM+3ykU+ozWCRCKRyLiXOpsICPFbYsrhRx1fPssW\nvbli14odz4oCcnvijdvyJt40Sx35zViGzNeI5jscT/Tl2CJP31MQDYLL7/jQsGdPZp9mOZDPsY0/\nXpqm5fSQFX9DLMZDjF9rQ4pG0BsOxrXuTjwbRiaDiCz5Iq62PyX2HZnQftdgBYP4Hz13VDKbWT0L\nOTC6Jq6NNvsTeLakLvuj1yxCHtyc8nMAbc6nUTueTbsOAN5mqp44j8j+lxBa8At8W76BZI62Kun1\nx+N9/ZuZ2wO01k/jefuX4PITWno9/nXO1S7iMd3NSIFejGnHYG27c3T1B30A946/EF5wKd5Nv8LV\n8wJaz0vo/lnIisuxzWyxLIu2gQ7e6lzPmx3rebtrAxt7tmFYxX0AHtKCvNm5njc7E2s713trOHTG\nUo6Zu4IPzT6E+hKWDXOyXCRfizweD6qqZhVF/njTYraH++iJhmLb/61rHTM8tTS6C6vKUewqF/Hf\nP9d+xFOpgruSE43LDSF+S8x4/cCKGWWTZZnq6uxqiJYSKXlyi+YjEz8vQcJb/EQdmqZlPI79h13P\ntOePTZj0YsqbN2Ce8HPHhwanKgrleFHOVvwWct7ZDwdutxtZlolGo7H9ZnMTT/X39utdKN2vo2y8\nD3O/z+Fb/YOEz42WZXi3/XDkO7jqCR34cyyzlqrnVo4SvgDaorNROv4v5XexqmYiD6aelS0659O4\n2h9J+TmA0XgEno3pZ2wz3fVYe7+3593b0DsPJPjBVXi3fhMlMlIWzQJMdysy2dWNNqqX4O29abiv\nvUcTmX4Wnl1/TLtNeO4V+F/+f0RnnUR09rm4t4+e7cnV9icCR/wBc8sdyGYQ/1vfYKjuAMy6pRkf\nqpPPpf7wIK9se4lntq7mtZ3v0Bt2rmIxFvSFB3lq80s8tfklFEnm4Jb9OGbuCo6eu4LZddNLvv9U\nUfFsRJ4fOH/eYfxi4/Poex8WNMvg/q61fGH24aiSXJZVLrKxXdhMFMtDT08PU6dOHe9uTAiE+B0D\nsh2CKgR76MsWaoVYGWRZpr9/pLRTWTxt6hpIfQmLjIWJ84g7XdByFZMZo7sZkJqWYCqLUKwNsWXu\n7Xeh4VyGKvnciC8rVwkUcrzSJUfmG6kZ5ZkM9eFqfxrPWzcROP5evG/8KGF9U3YjB9tj9gW95gDC\nS36I/29fInT8D5AGnevqGlOW4tlwU+rvpg+mtEQAGPUH4n3nRyk/H14piqQPpV1Fbz4K15YRv6/a\n8xby3y8i+LG7ce++DfeeR4eb8i9F7hs9E50TpqcFyxyJKvre+DGBj9yP2vsySnhr6m2kqcj/n73z\njq+iSt/498zM7emBhEBCB+ldEFBRUZFFEBVlseJaVtdedl137XXV1bWi/pRVVFRQRHGliEpVuvQa\nSiCBJCSBJOT2Kb8/Lik3tyQhhbDL8/nwCTnnzJkzk3tnnnnneZ/XlY1l51ScI6ej5C1A8hUGjROA\ndfNjuAa+Q8yaGxFqGZadr+Du/SLUQhufcyyf5dm/sTxnPZsLdp1wZNeqWEhxJJHqSCbFkUyyPR5N\n1/FpflRdxaep+DQ/ft2PT/NT6nWy92g2Ln/Nyb+aobMudyvrcrfyyoqP6JiYzoh2ZzKm67l0TmrY\nRKWGQro9gcva9GJWlepvuZ5j/HBkN1em961oK/9eRkvca+zyz1VJeLT7XFUSHG49uq6fchHgnJyc\nZlng4lTEafLbBGgM8ltfklZun1WerBaNeJRfbE7mRULaPSekuAVtzwsaE+5CV5sSxw1tQ6YNfxlp\n2WWUny5hciOtexP9zHtDtj+pSXp1QPV1qqpKWVnZCUd3a6MXP5HPW3W5hHx0E9Z1T+M6/2Okkv2Y\nshcEjfedcSNK/tzA/9tMwp8wEvv0ywAd4S+NqJ8Vuguhh5cP6bY0hLcgbF/F9poHYUT+zuqSgvAV\nR+wvh5o6AusvwXZqkuoi5rsrcA19AT2tB5bcl/G3nIh1V2gZ4nDwpU3AuvntoDbbwutxjf4Cx8aJ\nCN0bso2nw1+xrXq8cvyvf8Yz+Cns6+8MGas49yC7DqAmDkU5ugLzodn4205EtV4UIn8wDIOtBbv5\ned8qFu1bxb7i6AmC1dE2Po0+qWfQK6ULbeMDCWspjhbEmu11/nwZhkFuWQF7jmSz52g2u48cYO/R\nbPYezY6qId57NIe9R3P4cMNsBrXuxe97jea89oNRpIYrvd4Qkc2hye3ZXVbIxuJDFW2/FmbROaYl\nfRNaB81bHnWtaU3N0eUCAtcGl6uyuEy0CHJVt52TTZQbw+P3fxWnyW8ToKG+MPWVMtTWPisciTzp\n5HdPtbKzomVFcYugcbUocVzfhL+azqPRaRQsTQVRmaykbP4nvjDk96SUZK4jwt1EqhfoiITyxL5y\nzXhTRbV1XUcUbMa8/X3cZ7+NZd7D+IfdhqhWVEJLPwfLpjtw9XgBqbAIx5xbAPC3uwC5KLzTgW5O\nQHgik1tfh9+j5P4YeW1KDJIrOolT08agFKyMOgYCRFuKUCjDvuIRfB2vxNXtfVDsSO7IGuWgOWP7\nohQG26FJugfLqmdx93kR+477gsdb0tCllkHHJLkPIYoP4Eu7FHNuqLzDuu1ZnEOmY185AQmw/XYX\nZef+gB7TEUmSOFCSy9zMpczNXMqBktyQ7cMer8lK75Su9E7tSp/UrvRO6UqiLa5W29YGQghax6bQ\nOjaFc9oNrGjXdI3thXtZnLWGJVlryDwS/m0BwNpDW1h7aAutYlpwVY9RXN79QpJs8fVeW0OQXyEE\nV2X0I8dVTJGvkhjOPLCeNrZ4WlgcdZ6vPi4X4QhzY6ExJRcNiYMHD54mvw2E0+S3GaOqm0D1uva1\nQX1cGaJVeTsZEIWrgn7XE/qEHxchklo1Sl7XhL8TOY9qv79j2nRP5brkAqTM79C7jK3Vek82Qpws\n6qCfbgg3kHpnzh/JRClYh5Z2Lqa1n6J1uQTTvllBY3QAkwVXv//DvOJdTNmV1dj83S7HujG8LMHf\n+SqU/MUR9621GIRl77sR+/3plyPnR09kU9Muwrrx2ahjDHM8wuuKOsa8dxZS6T5cI15BNycj+Yqi\njtfNLUEL/7c2Fa5FKxyBL+VqzIdnVrR72j+AfUVoIp1t44s4L/oCU8GSEGcLoXux7P0Ab/cnsG1/\nCslXiGXPe5R0vJPbfnqHzYczo66zHF2S2nFe+zM5t92Z9GjZEbkBo6m1hSzJ9ErpQq+ULtw1+BoO\nluazZP9almStYV3uVlQ99LqdV1bIm6un8966mYzqdDaTev+OHi07ndD+G/KaYZNNXN9+EG9mLkM7\nPq9HV/kkaw13dzmnQaPV5airy8WpJrloSJeLnJwchg8fXq9jOI0ATpPfJkBtP+ANJWUoJx31Iavh\nyO/JhPBXL25xSdhx1Y/Z7XbjdDrrtP5oWtTaQu97C8a6vwWXPF7xl2ZLfstvHOWV/Or62at6vmpj\n/N+Y0J1FKPnrwPBDcRHmzLk4+1+DZVGwRtd3xh/QLa1xzLwCyRUcydVjUpCc4aOzatpQ7Gs+j7YC\nhOaO2Ku2PAfbxoejHoMhO5DceVHH+FucjXJwUdQxAHpsO8zrPsXV7yPsG29G8h6OONaXNgHzzmkR\n+62bXsF5/kdIx9ahuPegW1qjy60iRrItq5/E3e957OvvDukz5c/H13YiuqUVkjcP8773sLcey9CW\nHSKSX1lI9EvtxvD0/lzQ8SzaJ7Wp4eibHm3iUrmm9xiu6T2GUq+TZfvX8vX2hazL3RYy1qf5+W7X\nIr7btYgzW/fizsHX0K9Vt3qvoT4Pjxn2RMa27sk3B7dUtOW4S/jPoW2MT+8dZcvGRX0kF16vN+ja\nWjWRtjFQl0h1NGJc9TglSWqUAhf/qzhNfpsA0S5E1S3I6vJlLH+l3BiVwJraMzcqcn5FmKpIA3TQ\newV7rpY/OFR/Gq8tiWtw72JJQut8C8r+ykQ3oe9D2vE1ercrKttOIvmtT3QXwGq1NrnXc03QdR05\nezlGUic4koV92Z/R7clIruygBDR/m5H4u96IY8Z4JHdwNFQHJGc04qlFTETTJQXhr0GrKxQk39HI\nx0DNBTIA1NRzsa58ouZxrc7F+sODmDO/wTX+fWyb/oTsC398WuJgrL+9E3U+25LbcV80DXnrjXgy\n7sP+a2T7NKVkBz6vF3/SMExHfg2da9PDuAa8TczKqxCAbf093HH2HObs/428skCynCIpnNN2ACMy\nBjG4VW/ijr9+t1qtNR77yUacxcGYriMY03UEu4qy+GLLPOZmLgmrEV5zaAuTv/kbwzMGcOfgSbWO\nBDeGk8HZLTqyp6yIzVUkJ8sK99IxJpk+x/W/zRnVo6rVnXqsViuyLDcLyUX5vSsStm/fzpgxY0hJ\nSUEIwT333ENaWlrQv4svvvikBx1ONZwmv02A6pYr9SEciqJUEN7GJB2NYRt2opC3V7NM0uPAmlBh\nQ1Yerazrg0NjlmEG0M5+Gnn3FITJd3yfoPxyN76TSH7rI/+oCpPJhN1ePw/Qhoau68gHVyP5jqBp\nLbF/cysAnqH3Yd5dGan1dboaNfFspKLMEOILoHYajZIfXm9bUyKa2uZSlCiSBp2A323U40gejFS6\nK+oYAMOchBTGzzdknCUxYNfmKcL+9R9wXT4V25Z7kL3B0VrdnIRh1HxLkHQPljUv4Bo4BXwakju6\nJte68iFco75BWRWaLKdbW2MoCRwb+h9k1z6EKwu5aBWzRj/IPcs/YXSXc7mo41DirbG43e46S7+a\nE7omt+fxEXdw75Dr+Hbnz8zYMp+Dx0KLmPyS/Ru/ZP/GBR2GcMeg39MlOXqkrzHIrxCCqzP6cdBd\nwpEq+t/PD/xGktlOuj2h3vtoStTHCq7q9idDcnH48GE8Hg8HDhwAYP/+YE25yWTC6w1NQj2N6Dh1\nPJVOYei6jtvtprS0lKNHj1JWVobX660VoZQkCYvFQkxMDAkJCcTFxWG32yucBRoLzSnyK+UtC/pd\nc/SgtLSU4uJiysrKauW/C4EHB5vNRlxcHAkJCcTExGCxWBpPy6yY0c54IKhJKEVIK1+s/L2RyW/5\nw5bT6aS4uJiSkhJcLletiG/Vz151n+emiFDX9fMtFe3CtP591PRzcEwfX3Fx01O6IhcFLJw8Pe9E\nNffAOv8ZpLIIsoZOY1CqFVSp6Gs3DuVwaASzoj/tQpSC5RH7a1P5zdfuakyHfog6xjDVLpFLj22H\ncFUWUpF8xdhn34S75+to1rZBY/2pl2PZPrVW8ypHNmD4ZKT8dTWOlQDL+hfxdA2OEPvSxuPp9Gcc\nX4xGOMuwznsQ06Z5UHgQm9nB+yNuYVzn87DLVlRVbTZ6+Poi3hrLDX0vY86kt3hj9N8Y3Ca8lODn\nfau4+ssH+OuPr5IVxeWisc6LXTFzXbuBSFU8T3y6xtR9qyjxRZb1NDeEi9zW9dpSVYZQHnwym81Y\nLBasVis2mw2Hw0FMTAwOhwO73Y7NZsNqtVYk+yqKgizLdX5De/hwZJkSQKtWrU6ICyxdupRx48aR\nnp6OJElMmxZZ7lSOzZs3M2LECOx2O+np6TzzzDM1btNccZr8NgGEELjd7lq9gi+PSNrtduLj40lI\nSMDhcFQY/zcVqu/rZN14dF1HePcFtblSz6+1nKG8QEdiYiJxcXHYbLYmfU2vDX8cQw3O5la2vBDw\nLaZxyK+maXg8Ho4dO8bRo0c5duxYrR+2FEUJ+9lrLrKGSNCdBSj7fsA3+F4cX1yJpAYiolpihwri\n6x7yDyhTsM9/Et+ZN6Hs/j7sXIbZjhShrLDaNjq5NUwxSJ7Ikglf67EoBcsi9gfmSKkx8utvOQzl\n4NKoYwB8GaMxbw0uNSz5SrF/fQPuHq+i2dpXtGsJgzHlLq5xTgBDyAhdQm8xDM1RswbRdHgFhqkV\namxPDMDT9WE0c19i5lyLZKhYVzyJ+4K3UIq24fjlcew/3AZxbVG9brxeLx6PJ+Tz6/P5cLsD/VW1\n6pqmNfqr6oaALMmc224Q/zf2Kd4f+zT9W3UPGWNgMH/3cq6YcS/PLHmHI+6a7e8a8rvazpHE5dV0\nvqV+D1P3rcKr1S0v4GQh3OegMa9n5SRZluUKp5uqJNlut+NwOEJIssViqSDKVUlyYWFh1P2lpZ1Y\nERWn00mfPn14/fXXsdlsNZ6T0tJSLrroItLS0li7di2vv/46L7/8Mq+++uoJ7f9k47TsoQlQ/rQY\nibBV1e3KstwsiMbJivxWtyET+RuxmfxV+sHdeWLE7WVZDno1KkkSZrO5UdccFZKEeta/MK39Q0WT\nMHmQf7oLbdT/NQj5rY91Wzif4nBoLol54aBrGsLvQW3ZD2X3QuSjlQ9LnqH3Yd35Bu5hbyBvW45l\nY8ClQGvTC8vGV0LnQoqq2TUsDqQoNmfCH13SYNjSo1Z+AxC+yP7C5dBSRmBZ9VQNo0BP7IWyKtR5\nQlJd2L++Dtfln2Dd+QiyvwCjDrcDf+uRKPuWYdr8Ke7Lp2Jfen1U32IA64p7cV3wCcJXjJL5M9ad\nX1b0KUd24C/Nxt9qKKa8FZgOLse0+SPoPTnIjzXo2I5fk2qbdR8uqaj8Oneyr7lntunFv1s/y4qc\nDby9+nO2FgR/RnRDZ9b2hczfvZxbB17FNb3HYD7uidwYsoeqGNaiAwVeJ0sL9lS0HXSXMH3/OiZ3\nGIzUDO5X0VD9/DSXIkK1lVw8+OCD3HrrrSxatIgffviBMWPGkJubS15eHrm5uXTs2PGE9j969GhG\njx4NwOTJk2scP336dDweD9OmTcNisdCjRw927NjBq6++ygMPPFDj9s0Np8lvE8FkMlWQ39oSjpOJ\npiS/0XSosbtnBv1u+O3ojpSK36snqmmaRmlpJQFpDiRN73kN+tqnkKjUask5n6K5nkeYgqPCtV1v\nVWeGump3q762q+0ruOZKfnVdRxzdh3xgBXqLblhWvxnUbyS0xjPwccxL/41pbxUtruFDGKGkSe0y\nDiX3l/D7AghT4KEc/pThIOmoLYaCkDGEApKCgQRCAcmEoVgxLMkIb/hojm7PQHLW7MerW1rUqPc1\nhBRVHiGpHuyzrsV15XRkzy7MmdEcLIKhth2Pdc5dSOiYV72Lp++j2DY8GXUbSVfB64LSUixViG85\nrGtfwjn6E+TvVwS8f5f9Ga3NEOwx6bjUE0vmORFrqpNFkoUQDMvoz9D0fizZv4Ypaz5nV1GwvtPp\nd/Payo/5atsCHhh6I+e3H9Lo5BdgbOueFHqdbCutfKuxtTSP7w5t5bI2vRp8fw2Jpjg/jQlJkkhI\nSMDn8zF06FAmTZp0UtaxYsUKzjnnHCwWS0XbxRdfzGOPPcb+/ftPOReK0+S3iWC1WisiwKdCVmY4\nstNQhS7qkvRnqfaKWbV1rXg1FC5RrTlplavCP/JDzAsvQBxfnlB0lHnXo14WXLwjEqmsT3RXCBF0\nzhrCd7e5kF9RuBfT7nnomhlZykRyV+pb/e0vQE/uiX3aRJS8yoIV/o4jUHLCJ7SpnUZjXfe3sH1a\n63NRCgMaV0NI6PHd8aeMQI89A0OOR4tJRzmwDs0/CHQVdD9oKmg+hObHsCdCmY67y7MYMYkI3xHk\nst3IhctQSjYhNA++thORc8PrjcthKLHURrGmteiHVLg96hhJ92GfNQnndYsxbfx3jXNCwF/YENZA\nEh1gOrAEf+dR+NMuwBRl7WpiL4TLi+Fog5rQCaV4T1C/0LxYNryFZ+jT2Fc8jtD92BbegfOK77EI\nH16j8d7gNBRJbogiB0IIzms/mHPbDWLhnhW8veazkEIfOaX5PLDgJQam9eTeM6+lY1zjlryVhOC6\ndgN5e/dyDrpLKtqXFuyhpcXBsBYdGnX/9cGpTn7LkZOTw8CBA2se2EjIy8ujbdvgPIHU1NSKvtPk\n9zTCorlGeCOh/AJe9cJRm1LB4VAf/2LFtw+q3PNE+9EhyVfV11193ye7Oh0A6cMwbIMQ3rUVTVLJ\nIkThVjBnVLRVJev1qejXHKU0DQ298ADysRx0ayuk4kMo62dU9tlb4h7xBI73L0U+sjdoO3+/32ON\nIBkwFAXJE+oAYQC+bjcgDBXnsGkYqkDK34d59dcoh6YA4LzmY2zz/oqI8Hdyj/gzlmWvYMpeXdGm\nJXbA3+sKfP3vB8OFntAROS985Lli/S2HouRG1w0D+DPGYFlXcwKbEAqiIAvPoBexrbgLOYpmVg24\nvwAAIABJREFUGcDb9Q9Y1n0Q1Gb9+W+4rpqJfGQjkjf8+fP2eQTbzJtAknBd9RmO7yYgjOCHU1PO\nUvxdrkSLa4dcuh+lYAOmTe9D/zsRHj9Vz2x5BCqSPVVj4ESLHEQjypEgCYlRnYdzQYfBzNg6n/fW\nzuSYzxk0Zl3uVm6c83fGdDqX2/pNIMkW32jfdYuscHOHIbyWuZRSf+Vbh9k5m0kyO+gWlxJl65OH\n/xbye/DgQa644oqaBzYSTtXzFgnNQ/zyP4BT8YNTn6Q3Xdfxer2UlZVRXFxMaWlpnZL+zGYzMb48\nhLnyNbNhgN5rco3bVkdziVL6L5mOoVauT8hgXXhj0BjDMHC5XJSUlFBcXIzT6ayVm0XFOaviCtKQ\nyX0nI/Ibbd16WRFCc4Lfj+3jm9FT2qIcCjxYaLFtcI37ELlgTwjxBTAs1rA+vgEbs2D/XUO24u1+\nK64LZ6BZOmL58jEcH9xIzEc3YJ/3BMqhjZXr9ZZGJL4AWvqZKAd/C2qTj+7DuuwVHB9PwvHJzUg5\ne/A7RuE86yN87SZhSKbQeVqdj2nPzJD2kON0pCOVHapxnL/dBZh2LcT++S14hr6BYY5ebldLGoCS\nE+x4IQH2effiPvOfhDsD/rZXIO9ehqT7kFQPpnUf4x34YNj5rb8+gefsyup6ttUvIGcvxV4cXCQi\nXNZ91WSi8oSi6slE5QWAGvOaXE7ENU2rsGMsT9xzu924XC6cTidOpxOXy4Xb7cbj8YQk7um6jiIp\nXNdnLHMmvc3EnqORRbXrMgb/2bOESXP+wszt89HCyHkaCvFmGzd3GIK5SqU3HYNPstaQ646udz9Z\n+G8hvye7wEWrVq3Iywu+bubn51f0nWo4TX6bCKfiF64uEoLy1/Lllm51IW4Q3obMtuuL4EGqFRJq\n/vI3F6eKECS0Q285LqhJaDuw7Qw+To/HUytZQ7hz1pSuICfNAUT1IzwlCEPH/u/rUbuPQtm/GEEg\nkuoe8x6Wb59Dzgu1FNMtcRF9ev1dr6iIqGox7XAPfh7niGmI3QexTZmIcmgLcln4ZDc1uRPS0f1h\n+8ohnEUIPfLDn+5oiVSSjX3ekzj+PRkO+nGd+W/cPf+Obm1ZOc6WhqRGL2tsKA4MUTuZgNr+Ikwb\npiN5irHNuh/XsHcxZFv4sXFnQEl4X1+pLBdlxwK8vYJJrSFb8be/CuvaysQ7y65v0OK7o8WFJutI\n3mJMu+fg6X0bcFwOseYlJM8RbM6cWh1TTdZU5SS5ujVVdZLc2G9N6kKSLYbCfYOu45Nx/2BIm9Dy\n7k6/mzfWfca1sx9m9cHNYfbWMEi3J3Btu4FBSZkeXWXq3pVBnsDNBf8t5Le0tJT4+OgPpo2JoUOH\nsmzZsiBP4YULF9KmTZtTTvIAp8nvaURBTeS3PtHdqh6ykWzIpIMLg7Yx7F1rte7mVKCjOvwXf4Dh\nr1QbCQHxW/+MVBIaoayO8uiuw+FolOhuTfuujjqT37VTYPlztR4ebn5d16FwH8gmHO9ejeRz4R92\nHeYtX6C26IH7otewvzEB/1nXYN4UmlTlG3wzpp1fh92f2mkUhmLHde4HeM/4M5Y5bxLz7kTMW+ei\ndxyGnLsx7HYA/v6/R9m9MGK/7miJdCx6MQhf/2tRMn+q+N286SscH16PafFXuLv/A9fAN/G3HI4h\n1Uxq/W3OR8mKXGyjHAYCPaZNIBkNkEoPYpn7DM5z/x1I2Ks+b5cbsP36csT5LNu+QHN0Q03uV9Hm\n7Xk/luWvhYy1zb0Lz7CnMMJ4W5h2fo6WNhTdHEjYM+WtQi7dgyl/LbK/YQlWVWuq2vq3nkyS3Da2\nFf8870FePv9B2saF2lztLc7htu+e4IF5/yCrKCckktwQD6294tMY2zo40e2o382UzOUUeZ0Rtjo5\nqH79P1XJb0PD6XSyYcMGNmzYgK7r7N+/nw0bNpCdHUi4feSRR7jwwgsrxl9zzTXY7XYmT57M1q1b\n+frrr3nxxRdPSacHOE1+mwz1TYI4Gai+3nLd7om8lgci+hdHtNdy7gz6XW99Qa3W3dwiv0EPCW6V\nsnZ3BvULk0aLn8aCFlryVJZlrFZr0xXmiII6f379PqSvRmOaEoP5PSvmLQ9g3vTsCe9P13U4sAFh\ntmD7+Bak4mz02FSkshy0Ft3wjHgG+xsBj1/DakcqDS0MoGYMRDkUnOxmAL7O49HiO2KUJWD94Bbs\nn9+FVFpJVn39JmDK/DHiWvWUM5DzIkfbfP2vQ9nzU8R+AK1VP5TsNSHtSsFOHNNvxjrjYbxt/4Rh\nSkBztA0zQyXUtpdg2lGze4OW0hf54Jbg/R3ehuXnt3ANmxJETA0ho8V1RXJFtnoDsH33RzwDnsZQ\nHGj2dDR7Z5SDq0LGSaoLZdscfL3/GNIn4Lj379sVbdaVT2PEpWErCMhbmvp62lAkuSG+u0IIhrbp\ny8eXPsfdA6/BYQqN1P+8fzUTv36Id9fMoKSsNKrcwuv11pkkn9uyI0OT2we1HfW7mbL7FwqbEQH+\nb4j8Hjt2LGquy4lgzZo1DBgwgAEDBuDxeHjiiScYMGAATzwRKJmel5fH3r2VQZm4uDgWLlzIoUOH\nGDRoEHfffTcPPfQQ999/f4Ouq6lwOuHtNCKi+kXa6/XWqYxidRuyOl10Sg+CEhzh0XreUKtNT3bk\nt6YEv7KBD2PJ+wmzXkk6ZNNRkn6cxJFRs1AUBYvF0mhll08U1RMgw94c9/2M8tPNSL5cMIMwAY7K\nbsNkgN8Hprpn7kt5OzAkGfOClzHtWwGA+7KnUfJX4hn2N+xvXokEqC07IRdlhp/DV4rQK63h1JR+\neAc9gJS5AVPmaqxL3wm7neFIQkSRNQhfGUKPLFVRM87EsmpK1OMTfg9Cjfz9knwupCM5WL58CPdV\nL6GUbsKy5bWg4ymHriQiaTV/V/2dxmNZHnrMpv2/oMe2wtP/Wazr/44A/GkjUXZFjm5XrBMd6w+P\n4B7yHMgWbPP+EnGsZfuXOMd/hLJvLnLZgaA+uXQ/cv46fB3GYN73PUJ1Y1n/Jr6OV+Io3oFuH9Cs\nvh/lqBroiJYgHKk8bvW2aFAkhYndL+HC9mfx3vovmbs3OBHSq/mYuulr5u5Zyp0DJzEiY1DF97g2\nQYFwCXpVk/cua90Tt+ZnQ5UKdMV+N1N2L+eOzsNpaWlYwnYiaK4+v3VBTk4OGRkZNQ+sA84777yo\nn68PP/wwpK1Xr14sWVLzG6VTAafep+AUxqnwxGkYBj6fD6fTidtdtxKW1V/Lx8fHn3ApZnnLNKpu\nYvjN0LJHrbY9GZHfquetNhKQoou/Qfc5gtrM3hU4NrxeETFqbhfpiElvC+/FNCUB87tWzIt/h2zK\nRTiOE9/qc5hBzL+5Tvs1DAOjaD/43MgHN2Jd9TEQ8N3V0/vib30u9reuqriYeS++D9Om0IQwNf1M\npMJAdFaPaY1r5Jv42l+L7e0/IPk8KNvnhd2/DgGNcYT16fHpSCXRtajCcywqsdUdLRGl0WURAIY9\nGbk0l5ip1yNt+g3nyJn4W50bPJc9DclVcyUwAD2uHVJZ+Gp2li2zEDl78fYIaHjVtuMxb/gg7Njq\nUAq2gtOJLuKR3KHuD1Vhm3sPnuHPhk2Us6x/E1/vW1FTBqDbU1CyFyFksGz+GHE0q1Zraa6oTSWw\n2pTLBUi2JfC3Ybfy7qjH6ZYUajuW6yzk0aVvcs+P/yDz6IGQ/kiorkn2+/1BmmSv28O45K70iQ1O\neCrxe3g7czm5zuIGlVvUFSf7rV9DoTHI7/86Tkd+mxDNkfzWx4YMCHoF2JC6N2nf7OB1WmrvI9kU\nzgT1PW8mezyuUd/jWHg+QgmsTwiI3fcSro4XQvtzGnzNDYaSAyQtnozZtRNMBsJCUHQ3GgwPSKV7\niBQjrYiAqSr6vn2IrCyEsxh92CBAYJtXKZvwXvoMIm83MR/cFDyJLTasy4NvwLVYtr6He+hj6Lb2\n2D7/K9KxwCt8tctQ7GvD24JpXc5HzvktbB+Ad9D1KLsjSxp0SxxS2eGI/QC+PpNQosgqAHR7MoZU\neck27/wJZedPeMY+g7/9BKwbnkLyFOFvfTGmXV9FnQsCDwDlZbYjwbpmKu4Rf8HT4z4MKr19awPD\n0Rp8KmpiR5SjkTXtkq8UJXM+vl63YNlSSa4D9mh3gMeLa/i/UPI2YjgSMSw2tN7XYdr1Hb4BNyM1\ng+hiYyKaZM4wDJzOSolBr5ad+fjyF5izcxFvrf2MYs+xoPHr87dz89zHGNv5PG7peyWJ1shFUGoL\nWUhcntIDAWw8VukGcEz18u7eFdzYpj8p5sq/UaQiIg3lk1wV4SQPzfE+XBNOttPDfyNOk98mRHP5\n0tXHP1YIEVSdrlGik7qOcG+DKpFDvd3YWm/eWIUu6lKcozrCSkBiz0Lt8zzK1kcqotxCMbD/eBm+\na3aDPalB1t0g2PAhLVb+FWGUgCVg00YtOIehAV4wiMHf768w9KHQMccfJPSSEsSBA4h9+8DvRzKZ\nUFulIAb1Rt64ECF5kY5XmPKedRNq+yHEvD46aC49oQ1SOHszIdDa9MXjeBTLnH+iHFgfstBIkVlf\n3/HYlkRO8tLSB2Bd/s+I/f4+E1H2LorYD6C1GYBlxXtRx6idR2L+bVZQmwTYv3sMPSED95Wvo+Qv\nQmvRH9P6aVHnAvB1Go9ldc0+wLYlL1F2/dco2UtrHFsOPS4DQ5Owf3Ybrps/w/H1JEQUGYZl82c4\nL/8YJWsBclk2ujUR9zmvIG9bTMy8ibgvfhxl/2pMu+YH1t57PL7htyDnbUTLGNrs3pKcTJhNZib0\nGsXFXYbzzpoZzNw6D62Kn7JuGHybuYif9q/ilv4TuLr7KGQhhUgu6nJfkIRgfEoPJATrqyR2lmk+\nPjr4Gze2HkDq8YeU2l43G4Ik/zfofSFAfstLEZ9Gw+A0+W1CnKwvXjm5KPeQrEt1sOqIj49v9BuN\ntHMWwlS5RkMHbeA9td6+oSK/5VFIv9+Pz+ere3S3ykNCJO2ffub9+LN+wOyqJEfC5ML8WWd8l/wH\n0oed0NrrDZ8H6buJyPk/IWQ1QHjDu1+FwPABfoFu64A6dha07B46pvx1ak4OHDmCYbEg7dyJ8ssv\nyFu3Im/Zgta5M9r0D1B+m4cel4xt9n2BaODIh9ClROSDW0J0tp7z/oR5y/SgNi25E56Lnoa8/Tg+\nmByyFjW1C3I0ayhbXFRZgzhWiNAil5hW2w7FvumzyPMDwueOKoson8f6TXhvXKk4G8fU6/AM/D1q\n1+4YjjRwRpdR6C36oCyNrkOumL+0CC2+J/60IZhyQ5PXqsPb93bs3/4NSfVgmfc87otexj4/+nfY\nNu8e3L97A/PWD/H1uh3brIeQSgKZ59Yfn8N13XTkvYuRVA/mzd/g73AOeochiKJMaHlGrY7jvw3R\nyF2cJYaHz76ZCT0u5p+/fsiKnA1BY8t8Ll5b9TGzd/zIg8Mmc07bgUHbhyPD4XTJ5WuQhGBcSneE\nEPxWWukv7dT8fHTwN25o0580S2ytj60hSHL1e92pSn4PHjwYUl3tNOqH0+T3vxT1ie5KklRB2srK\nyoL6mkJDJW19P7jBSAFH7asH1SfhrT7R3fLzZjab65Tg57xkBvLMHshKYUWbMLkwLxiJ2vsZ9MGh\n0dJGwd6fMf10M8IfPlktEgwD8IChm1EzLsO4ZGpIQlv5jVP3ejFycxFZWZgWLMD6xRdIhw9jOBzo\nrVqht2mD1qULrsceQ7RNRt69Gus3L+K97E5E2WE8Y59FHNiP0aE9liWvh66lZQby4UAxBEOS8Q69\nBy2pNyJzK9Z94SOXvuE3Yl4/PWyfDogq5VxD+mNaIpVFr4iGoSJ8kbPfdUcLRA2yCADDnohUUwJU\n/g707avwnPMq5m1TMR0IL6UwFDuGZK1xnwB6bFqgmMhnf8L9xy8Qy/8eUpo4aG6TAz22LVJJIAnK\ndGAt6uEL8HW/CvP2UPu5ckieYsTRHNyDHyXmrZFBCSlC17DMfRT3lW/jmBHQjNv/8zBlN32NiGmB\nXpyNlPC/p4msTWSzU1IGU8Y8xrID6/jnrx+GlEreX3KIe+Y9z8C0Htx71vX0ST2jYq7aXMOqE+EJ\n6X1RDsmsLs6uGOPS/UzNWctlKd3pHduwBRHqco3WdR2PxxM1mtwccfDgQdLTG7eE9f8aTpPfJkRj\n+0CWJyScSHQ3UpRSluWguZqE/BavCZI8aK0vrtv2dUx4q9Duer1oRzKxHF6BpWQjdn8+mikV1dEJ\nNb4bvsReYEsO2rY20d2aIBQThSO/I2XhCITZV6XdQNn2KHrOEtTx30JDR9z9HqQFtyMfmI2QvGAN\nJKRRCyMGQyUgZ1CS8Z/zJnQPLbtZQXiPHIGsLKTMTMzz5mHExaF37IjWvTvqSy+B2YzucGDEx4PZ\nfPynHyk3E8dbN+G85yNs3/8N94TXkdcuwrJqNs77PkTJD3Z00O1JCHchAlBTeuE9/++YFk7DuuFf\nlN3zCcqPL4Y/luQM5PztYfu0HpegVClHXB2+fpNQ9kSxQFOsSM7oCV++/tfXrPdNbIcoOxJ1DIC/\n51isP7+FVHwI15XPoaYNxbr6uZAywv52F6LsWlDjfADegTdhXjwFCbBNvQHXHz/D/sPtSK7C8ON7\n3Yh5WbCEw/bjSzhv+BT50GrkkvCuGbojBSOuPaadvwQkHtV01ErhbtSDG/D2m4hlwwyErmL/5j7c\nv3sByeFGtyYhWWspPv8vQW2vx0IIzm03iKHpffl8y1z+b92XlFUrSLEudxs3zH6ECzoM4e7B19Ih\nsXZkqzppVICr2/XHpCj8Urivot1v6HyVv5XDmptLUs9AQkSNJDcGyu+T0RBJXnEySbKqqhXlvE+j\nYXCa/DYhGvoLUzXhyu+P/No1HGprQyZJUhD5bXTbsJyVCFOly4RhgDbgvjpNUVPkt/wC6PP5MA6t\nJmbH41itWxHxLoSdQLQz3D30KBg5AuNIMpo8BKPDjRidLq03KRVCoMe14/DFv9DixzHIyuEqfSAf\nW4j0UXvUfo+g970V5BP82moq0rbPkVc8hlDzAmRXpk7JaqgS3ti+HB31CfYW6VitldHDiteiuo6R\nnQ379yOOHgVT4ElGT0zEP2YMUnY20rZtUFKCf+xYiIlBPnAA08yZiNISnLM+RS4+jP3lCWgt2yG8\nR3Ff+iymBdMwb1uCr+f5KHt+CVmf96L7MG36Evf5j2GYU7G9cj2SrqIDkrskrBVZILJbHNHJwd97\nPNYfn4x8StsMwLI2slbX32sCclZ0rayW0hfL8ujyA3+XSzD/9kXUMQB6Yluk4sArZ/usv+PvOQrn\n2BnYf7wTyVX5uVLbjsT6be38OfWUniiHngdAUn3Yp92B+4a3sM/9A6JawQkDgdZmGNYfQo/H9sVt\nuK//N/Y5NyCqeVobgPv8F7B9dh/CeQTnH2eiHFiBVI2gWZa/hfO6zzDtWIDkKUYu2otp5w8Ysh3V\ndRSt24X/0/rfmu4xJtnEDX0v49KuI3hr9efM3v4jRjWfjZ/3rWJx1houO+MCbh80kdSY5AizRV/H\n5W16owiJJQXBbwmWFu4l13OM69sPwhGG0IUjw5EkF42BcplgTYhEkqu31xfNqUjTfxNOk98mRnWv\n1LqgPq/kTzRRrbGSxyJB2fBGcIMWCym9wg+OgHAXHFVVgyLjtt1fEHf4VeSMHETtjSQQDgPhKETi\ne/B+j7FSwihuhx4/Fq3vAxBT91d65evVY9tweNxakn++DpN7aZDVm5APY9p8P8ZvD2HEnYV65t8w\nOoyMPKnfBXnrkPctQNozG+HZBxY9QHYtx//VgMpkNQf+3vfgGvBnPB5PRb/X60XTtMBF3udDzs3F\nkCREXh6mr75CWbECaccOpOORFl2S8N98M/4rr0Tr0QM5MxPZ5UKXJIz4eNwPPIDRsyOSqxT7s5cg\nAWU3/wvDFov1gwcx7Q+UK/ZfNBn7jLtC1qt2GoKWdgbWb15D2bWisn3gZSiZy0LGA2i9LkHZH1nD\nathikY5FljUI1RtVq6t2HIF9XnTZSk3+vgBaWm8sy6MnxOn2JKqbMZi2LkDevxbXH97DsvFtTDmL\nMBAYliQko+bvspbYHoqDi1pIZQVYZj2Ja9zb2OfdgjAqiYK/42iUneHJvuRzYfnxddznPoV90SNB\nfb6BdyDvWIF0LEDQbV8+hPuKd3B8cWPQOGEY2L59ENfE94mZdhUA5tVTcV39Ada5z+ByJLMnrRsS\nIAuBhAj6vywEcpWfUvnvnJp60BNN6EqyJfD4iDuY2PMS3lj1Kb9kByeA6obO7B0/MjdzKdf0HsNN\n/S8nro6uGkIIxrXpRao1llk5m4KS7jLLCnht1xImtx9MG3t8yHYnIrcIR5Ib835VF5JcUzS5fFw4\nFBQUkJJSe9nfadQOp8lvE6Mu5LchbMjKPSFP1IasqQtGSPmLgj6VevLwOs8R7jhLS0sBcGx5nSTP\nW0itndD+RFdZZV9xOiJuHxJvIO96A/JT0RyXovV5CBJqx6qD1isrlIz+ioSt76Bse7LCBq1irElD\nuH/BvHQMxs8CDAUwg2QDoYBWCsINslFJniXAXrvjMbyAKtBt7VHHzIDUPpX7rub7LBUXI+fkIGdm\nYpk5E2X5cozERIxWrdA6dkQdPRr13nvRBg1ClJQgXC6w2RDFxUi5uYj8fOTt2wPJbW43rpVLEEey\ncfxjHJKuo7brg96yIzHPjUUqDOgHdcUMhh9RxcLJUCy4xz6JKCnB/q+JIebl/rPGY58R/u2Bf8B4\nrPMfC9unSxIiimRBtyYgnDVodYWE8ETRDDtaIGooe2wIgWGNjzoGQO02CtO62SHtUlkR9jcm4Ln6\nRbTWQ5APLELK21rjfAD+Ptdg/Sm0NLGSvwNjyTTc57+M7ecHKiLn/m4TsE37Q8T5lP0r8J9xAb4u\n4zFnfgOAFtcONfUsHN9XEl25cC/K9kV4h96BZUVwEQ659BCmzXPwDL8L6y9vIQD7nAdx/v4jbF89\nSMakKWS1aIu/6nW2FpdcGYFynAyH/pQwCYFC89KF1tfN4IwWHXh7zGOsObiZ11Z+wtaC3UH9Xs3H\nhxtmM3PrfCb2Gs11fS4lyZZQp30MSW5HK2ssH2WtodRf+fB8xOfizcxlXN22HwNqKbGoitqQZJfL\nFXTPKq8o2tSR5NoQ8eqEeMmSJRQUFKBpGrGxsRQXFxMfH9+sPn+nMk6T3yZGTR/c5mZD1qSR3+L9\nIB8NatL63hlhcCiqOjOEwF1Ei9+uxNRhV9Q5DB9QYgF3EgZJQAnCVAw2N8RqgchpBAgzkJGPwlTk\n/VNhVQK6GIrecTJ6x7ER5RHhNMr60IfxpQ/DvOAyhMkVdrsAMfYf/3c8oaqOf3JDBXxgYEFrPwH9\n4vdCZBUVF25dx5KXh5KdjbJxI8LrRU9Lw7Ba8d50E54//jEgcRACw26H5GREXh62v/8d0/z5iOOf\nHcNqxUhNxd+nD55770WPiYEOGYjifOxfPoWk+VHb9cV102s4nh6NdLRKmeHf3Y3510obL7XdIDyX\nPIIoKsT6zT/CH74iR0xaM0wmpLLw5XrVHmNQ9oaPGAP4+01E2fNzxH5dUkDzROwH8PW9tka9r9aq\nN1I1UhIOaodhWD+9O2yfBNhnPoyv76W4L38Tx2e/r3E+AC25C9airLB9pl2L0RMz8A7+C9bVL6Em\n90AUF9b4EbT98BzOG6cj5/+GdCwH98gXsU+9JWSceeVHuK55ByW5A3LRvuC+dZ/guur/0GNbIx07\nhPCUYFn6L/xDriNm+XuknH8/h+Nb1OoYK44VA638ehvlsltOik3HSbEiBCYhYSLwU25CctJQhO3M\nNr359IoX+XHvCt5a/Rn7Sw4F9Tv9bv69/ms+2/wfLu92EZP7XUZqTO3PbztHEvd3HcG0rDVkOSu1\n635DY/r+deS4ivldWncU6cTyJiKh+vlRFCXifbF8bKRKe01Nkj/44APmz59f0f/xxx9js9lIS0uj\ndevW3HfffVx55ZWNspb/BZwmv02McDZc9bEhUxQlKOGqoZ8Km7Jamrz21ZCqbkaHiyKOr22Sn3XP\nLBKcDyA6hNdFG4VmdP1y1O53QUr/yJpaTUXa9z3SvulI6gpIKQgUeAgDIQNtipGZh+yZh7FCxiju\niG4fgpE6Ar39aLAHbh4RrdkyzsE3OQ951YtImR8jjGxEfZ9n1OOE1xDo1nTUke9B+wtChlUkq5WV\nQVYWHD6MbLEgezyI0lJQFKS9ezEtXIjYvh113Dj848eD2428aRPmefPQk5LQunRBPfts/GPHYlit\n6G3bgsUSEDPbbLB7Nwzsj7RrLXLRPpRdK/ENvgLfoPHIOTuQjwZHRbVO/bAsfxVDUvBc8giGpSX2\np67C9fcZyPtCC1GoGb2Qs9aHtAPo1hiEtzTyqer+O6w/PR65v+1Q7Bs/idjv7z4O067oxFZtNwzL\nr+9GHePveRmm1ZH3A2AICcOaUCPxNG/8D95hf8D9u9ewznsIpSjyw6Ca0hNxLHqSnWXVJ7hHP4K3\n902orQZi++qvNawgANvnf8R93fvIeb9hWjkTyVcWMkYA9tl/xXn9+9g/uTrY/QGwzX0E1xVvEfPp\nJABMe5eidh6JVLCX5F0/UdZvPC5TwycJlZNkLxzXBgVDgiAybBIS5uMEubEjx/WZWwjBRZ2GcV77\nwXy78yfeWzuTAldwMMKj+vh8y/d8uW0B4844n5v6XU5GfO2kXnEmK3d0Gs63hzbza2FWUN+Sgj1s\nL81nQkZfOtWBVEdDOKIa7fyU99WUuNxUJDk/P7TyotvtZu/evezdu5fJkyfXa/7/dZwmvycBDWVD\ndiJlg+uKpoz8SjnfUzXzyIjpFzKmTudOU0lcPRlLm58RYa6nRk4yaot70M95sHZJZLKC3vky9M6X\nBX73lSFt+wg59zNEzEZEYuQHFxGvIeIzkcgE/VOM3cBREzhbYBixKJoVQ4pBl+JAKCgMhw4QAAAg\nAElEQVSSE6GXgH4MIcogozig080GjhFwZIj2pzcAlYAGVAJDAkOyo2VcgX7eG2AO1UFUeO/m5WG4\n3YgjRzC//z6mL75AOp5QaQBGYiJar154770X3003IWVlgc8HLheYTKhnnok2eDCioACxfz/4/Wjp\n6YjSUsxz52L+/HNEbi6+cZfi+Wgayo+fY6S2xvb5o3jG/QVd2BFuF5a5rwatT03thFS4B611Tzyj\nH8PyzTuYNi1GT0hFPrgj7OnwXfAHLIvfCNMD/rOux7T5u8in0GQOGxU2AMORjGGxoidkgOoN+Pxq\nvkAi1/F/ao+x2ObWoPd1Ry97DAEtuFIYuUIagJoxCOlwZtQxAGpKV+RDmVhnPob7zg8xNnyAKSt8\nAQ5/z4lY579U45y2eS9QduNUiEkKS2LDQfKVoaybjfec24j75sKI44S7BPOit3Bf9hqOb4OlK5Kz\nCPPaz3Cf/zC2RQEnD+tPz+Ka9Am2T24mPakDHxeU4bDHkByfREJsAjH2GKwWG0KSKkishlGHunU1\nQwe8hh6WHAsCxNh8nBibj5NjywlGjBujiINJVpjQYxRjuozg8y1z+WTjHI56gh8SVV3l6+0L+WbH\nT1zS+Wyu7zOW7i071Ti3Iklcmd6XdFtCiA74sLeMKbt/YXBSW8a27oldqYXtTB3REOenqUhyOPJb\nFWlpaSew+gCmTJnCyy+/TF5eHj179uS1117j7LPPDjs2KyuLjh07hrTPnz+fiy+umxNTc8Jp8tvE\ncLvdHDt2rOaBVdAQdloniiYjv55ShJ4DVQ5P637jCUfGJddhWmwaidwuVLNpFJlQk99Ev2Ry/dZs\njkHvdxd6v7tA15F2zUTe9y7Ctg7RIrr7hpCAZD8k5yLIrY27WADlcjsNcAHu4/98BMiuDYg5Lt84\nJqMbXVH7PgVdxoVMVX5uDVUNODNkZSH/+iuW2bMDvrsdO6J36YLnlVcw7Hb0Dh0CcgafD+LikHbv\nxjRrFvK2bcibNyMdv1jrqal477sPrXdvMJlQVq1C+HzoaWlo3bvjeukltNYpMGAw5q9eR5QWIvav\nxD3peeR1y7Au+wr3g++g5AaTOc/VjyKppfiG3on9+WsrEuk8l9+H+ZePw54uIyYRuVqUqRxq1+HY\nv/h32D7dZAeLA1+vK9FbdEW3J4NsxZAtGPYERFkphhSHt8tkMFswhIyQJFAsGIoCioIen4F71KsI\nTwnCmY98aA1K/mbEsVwEAb2vdDQ77P4r1i+bwVSzYFvt/jssP75d4zj/0OuwLJyCpPpwvH4trhtf\nRU/shGX9B0HjDEBPaI90LPoNuBzKwZ34Ow9HbTsY5UBka7iq0DqPwLRpEd4h12NZFTmybc5cinrG\nSHxnjMK8M9iezbTje3zn/AlnTAooZtD8gIHrpuk4PruNq274lLS/3hxy3UpwxNEqKZVWSS1JS0yh\ndYtWZKSm07pFK1ISW5IQl4DDHguShGbo+DFQjxPl+sAAfIaOD0KIsQRYqpDhCnIcJVrcmBXMbCYr\nf+h/BZN6jeHr7QuZtvEbDjuD3wTohs7czKXMzVxKn9SuTOw5mos6DcMsmyLMGsCQ5HakWeP4KGs1\nJf5gadDqIwfYVprPZW160T+hzQkfU/W/eVNrZetLkq+44gqys7PZvn07Pp+P/Px83FXyLk6U/M6Y\nMYP77ruPd955h7PPPpu3336b0aNHs23bNjIyIntlL1iwgL59+1b8npiYeEL7by4QRlMYt55GBXw+\nH0VF0X0/a2tD1hQwDIOjR4NffSUmJjb4muRfn0fJfLpyv6rEkQmH8Ot1e30kyzLWY7uJ3XEhopU7\npF8/0BX/uT+ckCtDnbD/Z5TMD5D8y6LKIxoEKlAIhhsMbxJ66gS0AY+GLQxSTnj14uJAKeE9exBO\nJ4bVCiYThtkMioIoK0McPIhhMqH37IkoLUVZuRLzF18gHToUIMOtWqG3bo3etSvqxRejdeuGdPAg\n+P0YJhPC70eUlASszXbsQN6+HQoKcH0wBWPw2Vj+7xHMP3yC66nPEF4X5o//gWnPBtyTn0DZNBfT\nnjUV6/a36Yb7T+9j/fwFzGvmBh2T88/TcLxzY/VDRbcn4L3iL9hm/y3saXPePBXH54GCCYZsRm0/\nBLXzSIzYVmiJGUhF+Zh+nYWSuRapOJgEun//GMqGHzDtCu8Uodvj8V7+MLbPAvvWE1Lx978YreuZ\nGLHxCNWFnpSOsm8ZlmWvhVh/VRx3x3PRWg3EuvhfYfsrjuXqD3BMC9XNhoy79XMcr00KavOMuhM9\nPR3bT3+v8ANW0wbgbz8G27xnapzTEALX9Z9ge/06XH+djXXOQyhFkYtgAKgp3fENvh37h/fiuu3/\nMK/6ACUrMmk2JBnX5E+xzbq1IrqspnTHe+FjKCvnoA6+Ats7NyD5AkTKfdGf0M68FGXLHLLOGEf3\nx26t8TjCoUVcEq2SUkhLSqFVUgptklvRtlUGbVqmkZzYgviYeCxWGyoBH1s1xDis/hCA+TgRthz/\nWU6K3W53EMmzWq0oSuPEtHyan+92LubDDV+TUxr5oSjRGsfl3S9kQo+LaR0b3aXApfr4PncbK4vC\nez93jW3JhPS+JFvq7t+sqmqQO40kSdjttcz8bUYYPXo0S5cuRQhBaWkphw4dIjc3lyFDhuBw1P28\nDBkyhH79+vHee5XuMV27dmXChAk8//zzIePLI79r1qxh4MCB9TqW5oTT5LeJYRgG+fn5QYSuMRLV\nGhJHjx4NWm98fHyDRqANw8D8YTskuYoPqdGJgnGRk43KEXLushdj3j8OkRTsjGE4BZr+ANrQ5xps\n3bWGuxhp6/vIhT8g9N3gKEQk182XuXIuoATwg2ECDAu6aQh6+u3oncYTThRcod/NzsYoKMCw2ZCy\ns5FXr0besQNpyxakzEwkQM/IwHP33ejduiHy81GWLg04OLRvH0hMs1oxzGYMiwViYgKkOS4Oeds2\nLG+9hfTLLxXaTAMwkpPxX3opvhtuwPB4MJJjoVsfbC/djHnpLI69MAdiEnA8ejlSaRE64HpqBjGv\nTgzMIcl4Lv8ravfzsPxnCuYVwW4GWmp7fJfegm3Go6GnavwjKHsWYdq7MqRPTe2Cd+wjSIf3YsSl\nYyg25J3rMf88HamkAOdDH2F/5w6EL/QBCsD5wHTsr18fUjyiHJ6x9yNnrsK089fwf0fg2D2fYNr8\nM+rAkQjJh2nHfzBt/z5IBuG+8Gksi19DckXW3uqOFngueQ77p3+MOAZAT2qLe+RDOD4KLTPs730R\nvpHXYJ97D8J7DPdF/8Dy3QtIUZwqKrY9YyRaQnes899CV8y4Hvwc+6w/RY0aO6/9GNuU25F8rsDf\n/OFvsH96a8TkQwAtsR2ey57B/tXNeC56FC2mHfZ3b0NSfaipnfBe+QSOd26oGO+a8CRa294Yrbuw\nZPsGxv3rkYhz1weyJJOa2JLWyamkJaXSqU172rduT+uWaSQntCA2Ng6zxYYuiQaVVwhAMUDRj/80\nIMZiwSo3bsBE1TUW7F7O1PVfszfKmwtJSJzbbiBX97yEIW36IEdJZttbVsRX2RvI94bKZkxC5oLU\nLpzTsiO2GiLKVeH3+/F6K79LiqIE+ZKfKrjkkkv45ZdQX/MTgc/nw+Fw8MUXXwQly911111s2bKF\nxYsXh2xTTn4zMjLweDx06dKF+++//5RPtjste2hiCCEwm81omtaoiWoNieqFLhrieamqdpesRVik\nYMuoss6R7ZLKI+Nmszno3EnbPkEpvQ2RFLw+I89KScf/YOsYXtPU6LAloA/6Mzp/DvzuPoK08VXk\nvBkI80GEXQ9EbzUqfVolAhIQEwGtbwyQcZxQ7myPzu/QutwJiaE6uwrtrscDeXmIffswzZuHdeZM\npIICDFnGSE0NyBA6d8b79NOBqG1ODni9YDaDpmHExqINGIC0axfKnDlQVIT/+usxunRBLihA+fBD\nlPXr0VNS0Dt3xn/++RiTJqHHxKB3747wejGEAIsFsXUrxpAB4C3Dfs+5KHs34b7yfoRuYL/vvIqy\nvf5Lb8e8KODmoLbtjefqJzHPnorWtj+m1aH6XM+Eh7DOeyXsadfTewRVdTMAtf1g/IOuRm3bF2Xn\nOiyzpyIdCbUaEz5PROKrA+LYkYjEF0Dr2B/L3PBa4/I5JM2P9ccP4ccP0SUJ34jrcI37AOEvQdm9\nEFPmAvTYtKjEF8DfbTSm3yKXDS6Hb8AELAvDJ9eZNi9Eyt+N68apWBf+BS2hXa2IL4C//9VY37sD\nOF4E4+1bcd/xLvaZtyA8oQmFavpAxOFDFQUsJMA+5RZct7+HY+rvA/rpMJCP7kfZt4qym+di+eo5\nbNsWV/Qp+XvQV8/CfcXj2L4OvEGyzXoa1+0fYpr6ICOufZbNL33J9F9/4IfNKzhYlEdB6ZEGkXFp\nusahojwOFUUvc2232Oia0YlenXvRJaMTbVu1JSU5hfi4RCzWgA65LjAAvwB/FU55VPcidG/ESHFD\n3GcUSWZM1xGM7nIOS/evZcaW+azI2RAyTjd0FmetYXHWGlraExnV+Wx+1+VcurfoGLKOjjHJPHDG\nefx8eDc/5u8K0gL7DY0FeTtYcng357TsyDktO+GohR64MSUhTQWv14vJVHvCXxMKCwvRNI3U1NSg\n9pSUFPLywn9+Y2NjeeWVVxg+fDiKovDtt98yceJEpk2bxrXXXttga2tqnCa/JwExMTFNUia4odAQ\nVd6ieRa3+O3JIJcH3WfD3a3yNXZtIuPS2hdRxBOIaj7sWnYihb1+QopPx1bnVTcQDB1p99dIh6cj\nxa2CXkcQI2q9KWy3Y+QPQJOvQ+96DQwOvfBXRHcLCwNyhl27sMybh5GcjN6+PVrv3qhnngkWC7rN\nBvHxgQhuTAzyjh3YHnoIedn/s3feYVKUadf/1VPV1XFyzgMMGRMCKgYMLGtOiBgWc8KIimsWc1pz\nFkUEQUUB42tEAXMAJA1DmsQwTM6du8L3R01gnJ4Bdt313ffjvq65Bqqefqq7errr1HnOfc63iJ1s\n4gyPh8hZZxE+6yw0v98Cx7KM1NKC6fEQnjKF8IUXIrW1QU0NZnY2ZloaorwcxwMPYPviC6RgkOBJ\nJxJ+6jEkbwvO1+9GqSnHf/1LGJkD8Nx+YqcFGoA28ghcz19AYNIMDHc6rtsnY6ZkIZcXIulRfK4d\nLuTa0h6bDSGQND+SaaBlDCV86IUY8bnIm9bgeOFuAtc9h2tWdGeCyL5HIrcHakQrbewZKIXRm8Sg\nHRz7oyfKdc6x/7Eoq7ts0oRh4Fg6F5bOxQAiR5yF77TZmHGJaOnDUfrw5dVzx2D7LrrFWbfnlT4U\npfKJXvfLtaU4n74A/98XI3b0/vq7zRmbjmlInTcvAMLbiOP1m/BPeRHXgot6NPSFxl2P85kLum0T\nbfXYP3icwMTHcb3Tk5kGMFU3WsE4xNZ1SFG0/+qKDwjkjyS837Goaz5DMg1cr1+L76q5eG4/gn7X\nvM5tmSO45+u1aAUTCGdlEXI58NtseG2CcEICPi3Mz+VFrKqrYF1lMZUNNTR7d+8mYFflDwVYvXU9\nq7eu77FPSIKMlAzyM/MYPmA4Q/IHk5uRS3pyOg7Hnn1zmbQ33JkGO3eX7Cyf2BkY/7OgWEiCI/PH\ncGT+GMqbd/BO4Wd8sOnrHrHJAHX+Juat/Yh5az8iLy6T4wYeznEFh5MXn9k5RhEyE9IHs398Jgu3\nr6XY2z0+O2hofFmzmW/qihmb3I9xKQOIsfXO5P5fAL+VlZVkZ++5B/IfWUlJSVx/fVca5MiRI2lo\naODRRx/dC3731p7V78Hk//b6Z5vedk6kC4fDUQG/8FahaIXdGt0CGRORdwK7u9I9yz/dhWx/FOl3\nN8haaR51Y74CmwvpP32zUfMbculMhPw10qAKpBG7f8NgNkiYRTkY+l8tdrdgCBT8bkxHx7CuY27b\nhlRejun3gyxbmsPYWLRx4xAlJcjffAM+H+Gzz4aYGOQdO7A99xzy2rWYaWno+fno++6LduKJ6ElJ\nlsa3rc3KlnY6EZs3I4qKkDdtQhQWIrZsAcNAO+EEwlOmYDocyJEI8ltvYeblYeTlETnxREITJ2KM\nGIIQJspX7yFCjRAK4LvpNeSNq7H99hVSpAsYhQ49Bclbj+/qN7C/+yK21csA8J97C46FPeUqWt4I\n5MoNUc9h+LBzMRIy8U2ZjVRXjWP244im9oa8pCxETU/A3PnYo87FOa/3JfLIqONxzbqu1/3ayGOR\ni1f2uh8gcvBEnHP+HnWfAOzfvI2etx+2tx4jfNQFhMYloa6Yi1K8rJurhSkJTOeuLc6MmFTYje8c\nEfYjbduE4UohdMAk7L/1zSiHDrkE+4f/6LFdrivHvugf+E9/Fte7V3Sy5JH+4xCVWxFGzxsZ2+Yf\n0AeMITTuKuzLuzfvmZKE/8xnsM+9A7m6BP81s5FrtiKau7P2jsX34r/ydZSy1YiWaqRAC463bsF/\n/XzcT5yD7+bFBKdejvreB7jf/wBHbCzus88m1TSRv1yOumABh8ly56pIZN/DiKSlEkpORuo/AG/N\nDiraGqkO+dnYWM2K2lI2VpZS3VSHLxjdj3t3yjANKmsrqayt5PvV3aUyCbEJ9M/uR//sAfTL6kf/\n7H4MyBlAQuyeNRztDIp3rk4HinYXCvtOLhRiNwFjXnwmNx16EVePOYdPt37LgvWfsakh+mesvGUH\nL61YwEsrFjA8pYBjCw5nXP4ocuOsBq5URwxTB4zl18ZtfLSjEP/vVgJChs7S2q18V1fKwUl5HJVa\nQJza8wbh/wr47asJbU8rOTkZWZZ7OEnU1NTsUQPd6NGjee216M3C/y21F/zurV3W7qa8dQCyDmeG\n3Umki/3ljm7BEaYmEMc8Rpxz14lWAPK305BjX+oRPqFvO4i6QxZ1Bkv82/PRvdXIm19BBD9GyilC\nKghD7u491NTBXO8hUr0fgZhJBHJPxbNfIqraneHtlDO0tmLW1mLKMsqqVdhffx35p58Q/q6Lr+Fy\nEZ46lcgJJyAdeihi2zaEaWK2tGDGxRG67DIrkCIUgtZWzMxMzIQERGkpjhtvxPbdd0iahqkolkQi\nPR1t5EhCM2diKgqivBxk2fqRJIzBgzGSk63j/PILxv77Y0w6Hbl4PY5XHyB03rWYNUHCh03CefNk\ngve9jmNBVzOVaXcSOusmlM2rcd15dieTaACmx4Oo397jvIVPvgrH+zvNIUlo+/6FyKiJaNlDcT51\nNbaSngxm8MwbUL+c1ed7Ilrre90naRGkQO+OLZGxZ+Kcc2Of84OJ8Db1PSIhE2XrSmxbV1qyiNNv\nIHz2xdg2fIxt3UIkQ0fLGY3YvmuWNjzmbNRlr+9ynKk6MePS8Tw0Gf8ljxIcn4d9yWNRbeRMSWCk\nDenhytFRSvlqzOXvEjjpUZwfWpZv4YMvxfn033o9vuPTp/Bf9DyR/EOwlXVFVAePvwvlh49RKi1f\nYues6/BPfRnXs5O7sc6SoeOcMw3/Fa/heuwUBKBUFqF+P5/AuQ/gfvwsvLd9SOiSS5C3bLH+Xpua\nMB0O9NGj8Y8dazV8trVBXR3064eSkIC6di32e+8ntbCQAWC5oaSnY2RloQ3dh/DFZ4NdJVhaQrMe\nplWWaJYMKrzNrG/Ywa9VxWyrraSmuYFQpG9ru99XU2sTKzc0sXJDdx/r+Jh4+mf3p192PwZk96d/\n+09iXOIezd/pQBFFxmND6sYWd3gWy72wxU6bg9OH/oXThoxnTc0mFm74gq9Lf8IfiR72Uli3lcK6\nrTz+42zy4jI5PO9ADs89kJEZQxmTlMc+cZl8X1/C8rriHiA4Yup8W1/CDw1l7BufyeiEHAbGpHQC\n9v8L4LeiooK8vLw/bD5VVTnwwAP54osvuml2v/zySyZNmrTb86xevZrMzMxdD/xfXHvB759Q/20f\nwr6Y353Z3UgkskcgU0bH0fylpWvtmDvucMRuxmfKyy5FTnyjR4+XXn0qkePegp1cKjrsY/6wc6+H\nEZvfRDQuQCSuhOGtSIfs/sPNChmzpABDPg594OV4s1MIp3ZJDjqYciGE9dyrqpC3bUMUFuKcPx9R\nUoKZno6Rm4sxfDja8cej5+RgDBqE1NBghUioqnVxLy1FbN6MvHkzorAQIhHCF16IPn48GAby1q3I\n8+db1mb9+qGdeaal7XU4MHNyQAhMWQaHA3nlSpQvvrAa5TZu7JRJaMOGEbzxRsKHHQZ/ORIpIwP7\n4ldQ33oa3+xvwN+K7aP5OH9Zgu+mp7EvehKJ9gvvkZMJH38p6rIPcLzVnUUMnzoV29fzo59Ddwyi\naQeGO57QX6ai5x+IsvIb7I9cC9c8FhX4AhhpOcjbojPGWtZA5B29++VqOcOQ6sp63Q+AJPoEtlrG\nwM645t7K8CQitdZ1gk5hGDgWPgZA6Khz8J33DvK2nzAT83As6j2Io6P0tOE4Pnx6l+MiI09BXfoW\nAK5X/07wxKkETv0Hzg9u7qFxjux7EnLRN33OZ1v7JUZcGqGjb0VUrUEp+mGXLLXjtavwT1uAWFSG\n3FpFeORkzKCE/aeuZkfR1ojj7XsJXPIq7pnd+wNEWwP2Dx4mcPks3C9bbh7qr++h54wgfOCJuB87\nE9+tH2K0tqL+9BNi3TrE1q1WpPaQIYSmT8dMTLSiu197DbNfP4y8PELXXgsOhyUdstst6ZDdjhkT\ng+3rr1FnzyamsJC09pt+EzDj44mcdBLhC6+FlhbMyu2EFJmA3UabItMioNGMUNJSR2FjNZubqina\ntmW39MjNbc2sKlrFqqKeoHhATn/6Zw9oB8T96J/df4+ZYoAIJhFTxxfFlq07IBadQFm0x/Tunz6E\n/dOHEIhczjflK/h067d8t20VWhTWHyxGuHztDuat/Qi3zcnB2ftxeN6BHJpzAIenDOCHhjKW126l\n7XcyGt00+K1pO781bSfO5mBkQjajE3OJMbszIv9t112A7du3M3bs2D90zhtuuIEpU6YwZswYxo4d\ny0svvUR1dTVXXHEFALfeeiu//vorS5ZYAT1z5sxBVVX2339/hBB89NFHvPDCCzz66K49wP83117w\n+yfUf9uHMBr4DQaDhMPh3WJ3d66dtbvqD/ci2boebxqgHRG9een3pSw5Bzl9cbdtpgF64xT08a9E\nZ6r+VfBb+QNy+Uxkx3IYWo20/+5LKcw2YEMqhv9Q9KyLMHOPgdSu8yr5fN3Gaz4foqoKystRSksx\nY2LA4UBPTkafPt2yJdM0pEgEIz0d3G7kDRtwXnghyurVFrCUJMykJMz0dCLjx+N/4gkknw+xY4fF\niIdCmIqCdvDBaCNHIurqYMcOy94sNxeppgZ13jxs772H1NqKmZpqNbfl5xM55RQiM2eCJCEqLS2w\nHhMDqUmIoBfnbVMQG1fhe+0bpKY6XLeejQj6MZIzkJx2lM0r0TIHEDr3TuS1vyIa67Avfq7HedMO\nHIf7Hy/32B4ZcghSyI//vGcwFQ/2d5/DuekhAIJn34jthw+ivg9GYgZyWVGv+SCh46fi+Lx3v9zQ\n8Vfi+LD3v1EjJQcRRYO8c4UnXI79075T3UInXoPtm3ei7rMvfRP70jeJDDuUwGUnEz7kfOzLnuu1\nUcxwxdNnLvdOpQ0/GsfTl3X+3/Hxi4RHHov/7FdwLbwGaSc9Z2ToCThfvCzaNN2f77fzCJxyE6Hx\nN+O5a9didwG4Zl5O4LIXUZc+Q6RgPO7nelqVKdvWYfz6PwROvRPn+90t2Wybf0QfMJrg+Kk4lrxo\nvZbF9+G/cg5y2WpcT5yD7+8L0TZtwpwwAf2ggxDbtlkrIYoCpok+cCBmTAxiyxaUL76ArVuJTJ6M\ncdBByLW12F58EXndOoy0NIz+/dH++leMiy+2bAALCjBtNtA0JKcTUViIvH49oqgIz7p1UFFhuask\nJhK86SaOHLEfwoxHLqxHyx9PODubkNOBT1VokyWahUnA6aC4voovS9ZSXF/JjoYamqLokZvbmlm5\nYVVUpnhATn/6ZVkMsfXvfnvMFIO1IhM0DYJR2GIZqTPRTpUENllmXP+D+cuAsbSFvCwp+YlPt37L\nyh2FvRrD+SIBvir9ia9KLaeWvLhMRmYM44CMocjxGaxqqe7hDwzQEgmytHYrS2u3kmWPZf/YDEZ4\n0nDJ//5AqH9HVVZWkpu7m0uIu1lnnnkmDQ0N3H///VRVVbHPPvvwySefdMorqqurKSnpCtWRJIn7\n77+f8vJyZFlm8ODBzJ49m3POOecPfV7/6dprdfYnlGmahMPRfT3/N1YkEtnjYI6O6kikU1W1h3ZX\nnZWOpDR3/t+Q+hM5Lzoj1zXIQPniOOTs5d02mzrorVegH/5U57bm5uZu7MkeW7T565E3zUQE3kfK\nK0Lqv/v2ZKYObPBg1u2HHncGxuDzew0rME2TQCCAXlODrboaSQgk00SUliJt24a8ebOlt92wAWJi\nCF51Ffo++yBaWlCWLkVs2YKRl4fRrx9GRgY4nRhuN2b//kjBoOXdK8uIwkKUVassJnjrVkT7F1z4\nrLPQTj0VSdcRxcWItWstGURmJqbLZbFbDgdGXh6SYWAKYWmBKyqQf/0Vs7aGyKUXgdOBaGnAfdMk\nImPGEzx/OvZP5+F4u8v1wPfAfBxz7yT8lwsw4tNxPjINffB+aAePwznv4W7nRcsbSuS4s3DOm9F1\nrhSV8JHnEDrmfGy/Lcc+9+FOb9eO8j7wLu77J3drpOt8Sy9+CPWb+SjlPZuOALx3vIvnkd6X/3zX\nzMb9/IW97vdPeRh1+TyUiujzA/imvYn78b4vHL5r5+J68vw+tepa1mDC4y9G+W0J4YlXoP74BrY1\n7/UA9qFDzkeq3oG6/ss+j2nEpRE87T5cz/UEtFrOUELnzcC56FpEWy1GQg7Bo27FNevKPufsqPDo\n0wgefj729Z9iX9LzZibqY4YcQfCch/DccjiiD2eNwOS7kStWoq7s7gZiAv7LXmp7opoAACAASURB\nVEX9/Fls29ZY2+xufNe8heuxszAyB+G/bi5mVSPORx9D+frrbtIh0+lEHzyY0I03YmRlIUpLrYCX\ndvbXtNnAZkPy+ZDanVKMkSMhFMK2dCm2N99ENDZan5/0dPSMDMyCArQDDkAbPx6pttaKCldVCyQH\ng0iVldYqTbsFoXbkkUTOOQcpGET56iuUpUsxU1LQBwwgPKA/4bQ0AnaVYHICSlo626sq2NJYTWF9\nJb/WlrGjqY7qxlq8feiR4zxx5Gfl0y+rH/2y8slv/52Z8m9Y1jYMVCFjFzJN3kZ+KPuFH7etYnV1\nEXofDaK/r8yYVPbJG43sSSG0C2dlGYk8ZzzD4jMYGpdGmj3mvwYIT5w4kUWLFhETE/NnP5X/c7UX\n/P4J9d8Afnd2ZohE9syTdncS6cSm97H9dFa3bZHRczCGTe59Yi2M7YuDEbndAbIZAT04Hf2Q+7tt\nb2lp6dZYGBMTs2vbmG1LUbbPRHi+gRENSHvQaG2W2DC3DcSwHY8+8FKI612rZRgGejiMWVsLTU3I\ny5bheOEFS0sLlh1ZcjJGejrhM89EO+YYRF0dUm2tlSAmy9bFV1GQdB2psRH8fowBAyztbnk56htv\nYFu+3GKz4uIwUlLQ09LQTjoJ7eijrQCKqh0gCQvQyjIoshX13H7ejPg4SEwETUf57jtsH3+EvGkz\nZiiIMWAA/sf/gZSWhljzCyQlY5/1AKEp05E3rcPIzsZ1z0WdYCy8/6GErn0IqbkBx/N3o2y2AIn3\nsXdwP3gBUqj7Bdp3x+s4Z9+EaKnDiE8ldPJ16NlDUD55B/3w43A/cEHP85qYRnDKTbheih4r7L13\nIe77z4jK/BruBIJT7sQ164bo75nDQ/D8B3G9Et2NAMA7bT7up8/tlVk2HB6CZ8zANeemXucwVAfB\ncx7E9Wr059FRgb/di/2DlxENlQAET78afb+xqF89ha28KzDCf85LuF65os+5AAKn3o7tu49QynqR\ni8Qm4b/uZRwf30bkwHOwfzFrl/INaAehV83D/cDf8F94H0rtRtQfo0tZdi7/Bc8itmzATMvC8dYd\nvZ5TU5LwT3sD+6IZKDXdwzVM1Ylv2rsoP7wFsamYrniMrMEYcZk4XrsWPEkELn4KeclyhDeIERuL\nmZBg3eh5vZixsYiqKuSff0YuKrIaPjdvRhgGBqCdcorleBIIoHz/PRgGRn4+ZrskogMkm6pqeWQn\nJCD5/agvvoht8eJO2ZAJEBODnpFB+OKL0Q87DFFRAa2tXXPYbJbbSmsrYvt2pMpKy8ElIQF50ybU\n2bNRNm2y9MhpaRiZmWiDBhLu3x/tqKPANGkoK6ZWC9KETllbI2tqt7G+YQfVzXVUN9URinRdl5x2\nJ7kZueRn5pGXmW/9zsgjLzMPh/2P9cv1hwOs2b6Wldt+Y82O9bREscjrrRJi08lOHURKYi5SH17C\nneNtTobEpjE4JpWBMck49sA7+D9df6TH797qXnvB759Uvbkf/FllmiaapnU2q+2JdreD3e342eVd\ntWGgzumPJLp8BU0tlvDFtb0/JtiK+vUBSLmV3Z93GDTjHoxRN/d4SFtbWzfg7vF4ejSREfEjil5F\n9r6FlLd+z9jdRglzYxZGeBx67sWQ1bs2q9OKrKkJyssRW7eifPghUmurpbXNzbXCJOx2jPh4zKws\nCAbB7UYKhRArViAXFiKXliK2bEGqqICEBEKXX442ZgyStw3l1xWIrVsxsrMwMzIwkpJBVTHS0zGz\ns6G5GUmSMO12pOYmpPoGpJZmREMD1NZipqaiHzgKMy4WqaEB29KlKD/8gGlTIDERPScX7S8T0AcN\ngkgAEhORtxRhf+EhAjfeg2htQuyowPHcffgfn4v7rilIPusiFjnwSAJT70X9/G0cb7/QdfpHjEE7\n6jicr93T7XwZikLgjtewv/80oZOvxhQOHM/NQNm2Gf/V92P75VNsa3teFHw3PIv94xdRynuuIBjx\nKQT/diuumdFBZeDcu1DWLsG2MXowRfCUG5DLfsO2LrrNmSEUAlNfwP1C71KA4KnTkTevwLZuWe9j\nTp6GXLoe229Leh1jAr7b3sVzd3eW2hCC4JWPYSYn4fhwBqKtDv+UV3A/s+slSu+1C/A82MfNJ2DI\nCv6b54HDiefhU3Y5J0Bk37+ip47AsdCSi/gveQSlchXqzwt6f8ywo4jscxKuF28gePylEBuL46Pe\n5SamMwbf9fOsBrj2lQDDHU/w5Fsx4rIwEjJwPn89clUxIuhDGzyawBWPITVVQmwSekwK0vZqpAgW\nkJwzB3n1ausmMyUFIyMDo39/9IED0Y47zvKurqrCVFUkTYNQCFFTg9iyBXnjRuT16zFlmdDf/46R\nmYlcUoJt/nwk00TPz8coKLA+8y6XtaoyYABSJAIuF7S1oXz1FfKaNcjr1yOVlXXqpPX8fAIzZkBS\nEmLDBkRVlTVPuyzKVFWrkVWSrEbUlBSw2VAXLkR9/vlOZtsE64Y4IwNt7FiCF18MLc0EK8pplbCk\nFpJJvRlmS2MNv9Vto7S1gca2ZrbXV5EUn9QOivPISc8lNyOX3PQcMlIyUOR/TU1pmAalDWWsqljD\n6u1rKa4vxeiD+e8oWSikJOaSkVJAYtzuORfIkkS+O4l+7kTy3YnkuRJw7YaH8H+q9oLff1/tBb9/\nUu0pwPx31L/C7iqKgqqqnb67e7KMJC/9O8q27gEAWv4N6ON6RisC0FaJ+sOBSFnN3TabfgnN8TTG\nvtHBhtfr7cawu91u7HY7tFYgb3wSIX2MNKICKX73PgJmBCiMxWgchZF0DsbAM0Hu/YvSMAzLjqy8\nHKm83GrAUxQr+EFRrCXtxkYrEjgUQh81yrIN27wZ2zvvoPz8s9VslphoLXWmpRGZNAl9zGhEdTVS\nbR0oMqYkrN+yArKwmFy7HdxuzLg4RFsbyvLlyKtWITU0IDU2YIYjRCaejnbY4VYMcdUObL/8bD03\njwcjPh5tzMEWaNY1CAQgMQkp6MWUBMLfhuPVxxC/fINv/teIbcU4nroTpWwzvvteQv3iTWy/fUPk\ngMMJnXUdhisGx+KZqEsWdX+PnnoP9/1TkAJdyU6mrOC75VXMnALktb/geO4OxE7Ltt4nF+G+dWJU\nJtD7UE9A2FH+qf9AXToPpWRN1P3eu9/D/eDEXsMrvLe/h/vRSdH9hoHg+AsR3ibUn9+Puh/Ae8t7\nuB/ufY7O49zf9xhtwAGED5uM65XoXsWGJx7/tGchIQHbdwuwf/tGr3MBaNkjCI8+G9cbt/c5DiB0\nzPmEDj0D+28fYf9qZp9jTcA/dS7Oh87r1ujmv/wxlJIfUFcu7vkYxY7v8jm47jur8zH+82Ygt1Zh\n/7L342lp/Qme/wjuZ88idOy1aAVjcbx0C8qOYrS8YRar/8DZnXNG9jmM8ISLsH36OuHzbkOPT0GU\nlCNvr+3O2ravsJjx8eB0YvvkE+xPPWXdNHY8Z6cTIy0N7ZBDCE+dakkhKist/XDHHO0SCVFZCZs2\nYSYnox9yCKK1Fdunn2L74AMrXCY9HSM9Hb2gwALcw4ZZoTE7dlirM4aB1NyMVFWFvGULclER8vr1\n0NhI+LzzLAlTayu2jz9GFBdbN9cFBRhZWZhOp9Wwl5SEGRfXvtqjoHz5JbZly6x5Kis7z5GhKISu\nucYC/NVVULiBYGoKQaeKV5FpFdAkGdRoQUrbGigLtLHd24hqdxIfl0hOeg7Zadlkp2WRmZL5T0Uv\nByNBNtduZUP1RopqNrG1roRIL/r2jnKobtJTBpCe3B/3bjoHdVSK3U2eqx0MuxNId8TutuXbH1kt\nLS1cdtllfPLJJ7sevLf2uPY2vP1/VB3sbgfY/Ve8hl0u1z+XId+4Bbnk2W5/eWbEjX7o3dHHb1uO\nuvUUpKzuuk6zRaClLcAoOKnXQ+3cqKfUr8FR+Aq2+GWwbyPS4bv3dM0KGbN4EIbtBPTBU2FoVp/j\nDcNAa221Qh+EQCotRV28GHnVKmu5tD1r3vB4CF15Jfq4cRhOJ/KKFdiWLMFotxwLX3QR4SuusFjg\ntDRLu+tyIWka8oYNiB1VSLU1SFXVSHW16IMGox1zjKUXLi1B/eB9q4HH5cb0uNFzcghPOgMzPx+p\npsa6APt8KBsshkofPITgYYeDYbRfYDVwusFupb3RVI8U9AIm6tcfYn/xQYKX3Yx+yXQcz92D+rWl\ntwwfeQKirQ70CN6HFyCVl+O89XIC9z3XA/hqg/azwivaga+RmE5o8vVoOYNBtuE577AeADd8yASU\nVcuiAl9t8EjkLaui7Gl/b7IKkHsBvoaiILU19Qp8DUAKtPUJSPVRJ2B/ckrvxwckf99zGEIgtTX3\nOQYgPOFCHLPv6XW/8DbjuX8KbfcuJjxmEigq6tJZvUoHwuMvw/H63X0es6O0fY8h9u8nEfjbrQTO\nuBfHohm9apO14UcjKjb3cHhwvTwd/9XPgKGh/vZht33B46fjWPh0t8e45t6D/9JHCR0yEfuP3f+O\nOkqpKcG26jPa7liGY/4jeOY+2bWvfAOORU8TmD4b92OWZtu27jtQnYQn/A3PjccSOvESQqddieHz\n4jz/MiKXXYZ29NGIpiZsH32EvHkzem4uxsCBhG6/vTPu20hNtZhXIcBmQ/7uO2zLlnV6YncCSSE6\ngaTIyEBeswa2bMGMjSV87LGETz7ZYpIlCXw+jORkSExEFBXhOusslE2bOl+P6fFYADk3l9CVV2Lk\n5SGXlICud35XhM8915JIbNuG2LQJec0aIqedBi4XyurVqK+8YjHH6ekYmZkYBQVoY8dipKai77+/\nxUQHAuBwIFVVIaprEA0NOL7/3mrea27GyMkhcNttmKn9EfVhbJ99i5aTQ7hfKkE5lUCroM1fTUt5\nNZG07VR7mylqqsHndGBzuYiJjSclMZXM1EziPNFBqsPmYN+sEeybNQKAsBamuL6UoupNFNVspLi+\nFG+oe8NwMOyjrHItZZVrcTpiSIrPIik+i4TYdGTR93WrLuSjLuRjRXt0sypk0h2xZDpjO39nOGL/\n7QxxRUXFH+rxu7e6117m908qTdP+I0EXHTHCHc4Me/J2K4rSKWXw+/3dnB2iSgh2o2xzhiAo6/y/\naYB22LsYA3uCWPHrQyjmvUiu38UV19sID/wSsg7u81iRzR+h7HgONetXxIjdM6A3I8C6eIzmQ9Az\nL8XMP5YeXmo7j29PrjNrapDKyxFFRSjz56OsW2exK6mplh1Zfj7a6NEYQ4YgVVUh+f3W8mQkApKE\n5Pdbut2qKrDZ0EeNApcLsXkz6qxXUVatskIn2tncyEEHETnvPEyXy2o827zZYqtcLnC6MFxO9P32\nAyEQlZVILS0WiDV0TCGjDxkKHo/F6sqy9UbYVHDYQdNBSEjNTZhOJ8LvR9q0HjMnD9t7c9HHjMOw\nOyEjC9dtFyFvs3SWhicW79wliB1lSNsrcP7jZoSm4X1mAc6nb0Ku2tbt3LU9uRjPgxegDRlF6IQL\nQBc4np5BZNzxiJYa7F/2dDtoe3IxnrvPRQr1jB723vMmruevRbT09Og1YpMIXnAnrpemRX0fg3+9\nEBFoQf2xJxMJEN5/AmZ6PvYvemcefTfOw/1E7x624dEnY7oTsH81p9cxwWPOQ/h8qN9FB3hgaVx9\ndy7Gc8dpvY4BMBLSCFzxOO67/0bw9Kloh47HseB2lMqN3ecTMr5pC/Hc2/d8ANqgMYQPPgPXC1ZA\nR+iI09HGn4pr5uVR46C9V83D9cDferU38934Cra1H6OutNw5tOxhhMZPw/1E9NUc/3UvYftuHraN\n3/V8bhkDCZ79IMq3H2EM3BfXyz1135FRE4iMPRnXs1d3bguPPYXIqGNxPz6V8JFnEDzn72AKpJXr\nkGw2qyHNZoNwGFFZaYW8eL1of/0rks2G2LAB++uvI1VWdnpiGwUF6AMGYOTkoI8aZX3e/X4LSNbX\nI1VUWBaDRUXI69Yh6uvRBg4kdNNNmAkJyBs3Yvv4405QamRnY7rdXTZr6emWTt/jQWzahPrmm9Z3\nRLuLBFisu37AAQRvu81qUN20CUmSOkF7h0RCkiTM+nokwBg4EHw+1HnzUN9/3wLSALGxlvQjOxvt\nkEOITJyIqKmxVrM6+ija0x/Ftm2WDWJREdrAgeiTJyP5/Sj/8z/YPvvM0lRnZREpKCCUn0swMZFA\nYjxqwSCaqyupDfvxCvCqNkhKxO2JIyEhCbfrd/GdHa/TNKnz1lNSX0pxfSklDWWU1Jfii5I0JySZ\n+Ng0ktvBsGsPWeGdyylk0uwx5HkSSXPEkmL3kGL34FHUP6Sh7vPPP2fTpk3cfvuuV2P21p7XXvD7\nJ5Wu63tsE7Y79a+wu5IkdUoZfq/d9fl8hEJd/ooulwuHY8+aHuTv70fZ2r0pTXcfiXbGZ90HGgbK\nlychMr7qgTvNKjfhkT9C0qCeBzANxOZ3kOtnIuWusIImdqPMBglzQx4GJ6MPvQ5ids3uGpGIJWco\nLUUqKbGWSO12UNXOZdKOEAgjLg7i4hBlZahz5qAsX45obOyaLyGB0A03oB14IKK+HuXHHyAYxExM\nwkxMwIyNxXS60Pfbz5IoVFcDpsXy6LplaSYEpKVbxwxYX/pSOAw+L+gGZm4upmpD1NRihoOYsXGY\nCYlIDgc0NViSiaQkRGUFbN0MQ4cjBXwoy75A+X4Z/sdnIhrrkSpKcbz8OIE7/4Fj5oMo61diqCrB\ny25DG3cc8pqfcD5yU2cjT/jgo9APPRLnizO6ncPIsNEE73geqXY78tpV2F95GNH+efC+8D7uG07t\nwVIaCSkErpyB+/Gr+X0ZQOC+N3HfH13b6r/sEdRv30Yp/q37ew+YsUn4bpqL44MnMBUV3HGYrjhM\nZwymMwYcbrRBYxA7NiPqtiG8DUitDUjNtUj+ZqRAG0ZKHnrBSByLe/e+9E5/G/ezlyP5e4/L9d26\nCNcj5yKFo4cCAESGHYq233icc3pnfgECF9yD7fMFKGWW/tlQHQRufwXhq8Lxzl1I7VZR4QNOxIjL\nw/Fx7xZvnc/v+tk4H5nazWFD6zeC4NUP4XrpEkRLV3JUZMhhREacgOvV3tPyrDlfRl2xEGXDEnxX\nv43rgSkILfpn1wACt8zD/v4jKBXrup5DegHBCx7HddskhBYmdPLl6GnZuF6/s8ccoaPPRh90YDdw\nHDr8DLT9jsT95NVERv2F4EV3Y9iceMYfj1xt9SaETz6Z0GWXIQWDyIWFliQiMbHrs9/xuW9psbbl\n5EBzM+qsWagff2wxqewUkJGdTeSYY9BOPNGyH2xutiQSkgQ2G6KlBbF9O2LjRqSNG9H23x/jhBMs\nScOHH2L78kvMhAT0DoBcUGDpk9PSrIa9pibLqq2uDlFUZLlIFBUhFxZarC0QmTyZyOTJSD4fyuef\nIwWDlsVbZmanRMJUVUy32wLfLheYJurs2agffghVVV1gW5IwkpIIT5mCduqpiKoqpJoaTJerc54O\nsE1dHWzbBu1yDFFYiP3VV5EL22O82/XIenY24QEDCP11AiI7B3/xFpoiQUJOB5rbRVBV0OLjsSel\n4ImJQ293fjBNk9q2OorrS6lo3k5FUyUVTdupbqvpRgA57B7iY1KJi0klzpOCxxWP1AfZsVtlGNiB\nRNVJjjuRvJgUMpxxJKruPQLGr776KsnJyUyZ0vtq0t7652sv+P2TqoOR/SPn6vj5Z9ldWZZ7/WAG\nAgECgS5mx+Fw4HJFt+6KWq2VqO8OQlK6wLgZcRA+f0d3C7C2StRvD0PKreoxhbkti/C4H8Gd2rXR\n0BBFryG3zEYqWIuUs3tg3yyxYZbvjx57LsbQi/rU7nY2q7W2Ym7bZskZ/H7k336zGlyKiy1WpbQU\nEhMJXXMN+gEHIDU2Yvv8c+Q1azASEzGzsizdXVoa+uDBGAMGWPKDYNDS6kYi1tKpEJalWDhidY0n\nxIPLjSjeirx+HVKbF8Ih0HW0/fbDGDYcMzbOusiVlYBhYDqdmKmpmA4nUiiI5PNCaytGTi5mUjKS\nENDSbMkcFBnR3AihMEZ6BqK+BsfTDyKK1hK4/RGMYSNQvl+KY9YzSN5WfM++gfrRG0iNdYQuuxV8\nfkyHE/WLd1E/W9j11gC+Vz7CM30iUiRsJbCNOZrw8X9Dz+qP47kZqD8v63aug5MuQdKD2D+Z1+N9\n8N01E/v8R1Aqi3vsCx0zGRwK9iU9XQRMVyzee99FXb4APWswZkwCqE5MxQ6yDcnrxUjNxvblIiRv\ni/XT2ozU1oRobsRsbSR472s4Z1wAiWkYKZkYiamYCSkYSWmYCYlE9j0EubUetBBSJIAUaEHetgFR\nvAKlcjNSoBXfjW/jfvSsHs9v5/MVuGEe7kd7Z48B/Ne8iOP5mxBBb69jTMB373t4bu7J5kaGjSF0\n6V2oy19D/XUx3ivn4Hrswm5JaVGfX3wq/kufwTOj52swYhLx3zMPx9u3o5RZNxi+aQtw3n9u501N\nX+W9fT4SEZTvPsG+PLq/ceexhMB/z2Kcr12PXFtqaX0vehrXrRO7gebg5BswnU6c83tGY4dOuAw9\nKR3XG/d2bgsfdTZa//1xvXQz2rCDCF5wN4ZNxXQkIrZVgMuFFAgg1dYiysu73B82boT4eILTplkW\nhDU12D780LrxHTgQIyfHAo8Oh9WAmpAA7Zp8KRBAnT0b25IlPVhbIyWF8HXXoR16KKKiAqmxsZP9\n7QSSYAHJqiqMIUOsJtTffkOdNQtly5auxrb0dIuFHjwY7eSTMeLjLTcJRbE0xADNzRZrW1SEXFSE\nVF9P6PrrMQYMQC4rwzZ7tvVZycy0Xlf//pgpKVbDXv/+VnOgJCEB8i+/INatQ2m3bBOtVuOr4fEQ\nuuUW9AMOsKLXf/oJIy+vB9hGUax0yZgYSEhAWbEC+2OPIW3c2A1sm8nJ6Pn5BK+fhpGZiV5cjD8c\nJOx0WADZ5UL3uIm4XMgpqUhuFxUt1ZQ0lVPRVMn25u3saKmmpq0W3dCRhUKsJ5lYTwpxnhTiYlJQ\nbX+cs4Vh6JhaGJsJbqGQ6ohhWGI2R2YN7zH27rvv5pRTTuGII474w46/t7pqL/j9k+pfsTvrWGrv\ncGbYU3Z3Z2eG3wdY9FbBYBD/Th6Yqqri8URfhopWtjf2Qxg7adZM0Ea/hjG8i6mTf7kfOfIQUlz3\n12MaYFQfizZ+sQUOI35E4QvIgTeRhm5EStu9xkFjnQuz7lD0rKssOUMf1XGOjZoaKCtDWb8e29y5\nyO3yAzM+3pI0pKWhHX00kZNOQtTXW6ysooAkdVoTIQT4fGCaGFlZkJCAKCtFnf8m8q+/IFVXdyWl\nHXwIoSuvAIcTsXUrtnfeRvJ621klG0Z2NqELLoC4eERJMcqnnyAaGyym2OkkdMFFGMOGg6IgSoqR\ntAhGUgpmjAfRUI+oq0NevRI9LQPtr8chhYKI8lLE5iL0w8Yh//QNZnwCRr9BmJnZyD8uw/ngzZ2e\nud4HX4D0dEAgr1mBfc7zaPuOQj/mrzgf7r7MHJj+EMqab5BLNxCcfDVGTgHyip8QNTswE+NxzHu2\nx3n3vviBxfr+7mvJAPyPvo3nrujgse3hxXgeOAcjMR1tyBj0YQdjxCRh2l0g2wFwzHsGuXAloq17\n+pr/qnuw/bwE26pvo84dPONyREs96lfRpQgGEHj4Ldy3nN21TVHQ9zkY7cAjMAaNwPDEgNODsukn\nlJ/fR9m6soeuNzz6RMzYVOyfvxb1OACmEPjuWLRLyUNkxKFE9v8Lrll39zomcPFd6AOHgqziuX9i\nr+M6x1/wMLYPXkOp2Bx1vyEEgfvfxfbjfERdOeGx5+F67rpdzgtgxKXgve9DHIueQl3euwtE53jV\ngf/uhdgXPkjo9Ft7AN+OCk6+EVOAc2FPp4jgpJvA34Ljky4pS2jCBRhJOTjn3oeWP4zgZQ9BcyMm\nHmJOm4QpBGZyMmZGBuFjjrFY05YWpJqabqytFA4j7dhhNaRt2IBhtxM5/3wQAnnNGuxvvgmShJ6R\n0cnaGikpVkDGsGFIgQCmw2GxzB1OL0VFFpD0tmvkc3II3H47ZkaGtW/tWguQZmRYQNvh6GrYs9ms\nBreYGJSvvsL+1FPIFV02dR2vSx86lOCNN4LbjSgrs3aqahfYNk2oqUEuLsYMhSzLxFAI27ffos6f\nb7He7ayt0a6P1gsK0I44wpJetbWBqlqexo2NiPJyxMaNVh/Dxo0Yw4YRmj4d7HbkX3+1pB9JSRiD\nBlmvLTnZSp7s8B3XdUy3G6m0FNunn6Js2GAl9u3kS68PHEjgnnusnok1q9H9fsKZGYScDsJOJxGP\nBZADdht+t51So5Xilkq2NpRS3FBOWySA2xmPx5Ww0+84xG7Yqu1OBfzNvDD2/B7bL730Uh5++GHy\n8/P/kOPsre61F/z+SbWn4PdfYXdlWe6UM/TF7vZV4XAYr7eLaVIUhdjY2N16rO3dvyD83YGFYR9D\n5Kz2aNTGLdh+OgmRW9bjsaZPQlPuwxh2EXLhUwjjXaQRZUgJu379pgbmb/GEGsfhzbwSI3U/4uN7\nj042DAND0zDLypBKSxErVljzpKVZF5Odu79jY63fcXFIra2o77yD/N13VnhEe1qboSiEL74Y7dhj\nkbxelKVLkdeusdjclBTrYpOYhHHooRjJyYiyUgvodrw0IUBIGLFxmJkZSHV1SKEQhMNI4RAYJqYE\nxvB9kFqbrfCK+jrEtnKk0hL0I44kcvAhSBKIykrrwpqUghQOovzwDep77yC2bCQw4yG0CccjSouR\nS4uxvfMGocuvRdmwGvvrz1mv4/RzCZ95IXLNDtS3ZqF895WlEYxPxP/ka7ivmYi0002Ylt0P/0vv\nIUo3IrV6cT59D6KyAkOS8L/6Hu5rTu8RQhE6eQqmW8Xx3qwe703wjCsQ3jrUZV0A1EjJIjLyKCL7\nH46ZPwya6xDVO7D9sBTl+88Rfuvv1fvk27gevBrR1FMLDOB9ahHuG6K7A9smBwAAIABJREFURwC0\nPfUenpvO6Pb6uj230y5BeFtQv3y3lxnA98gCnPdfAXYXoVPPx9hnFEQCiPptKL98gLJlBf7pb+J6\n8hIkf+8ep5ED/oKeuw+Od5/odQyAb/qrOP9xdY8AkB7jLpyBPuIg1A3LsC9+LGowCICp2PDdshDP\nLbu2N/Pf8Cz6kANxTzuyV/lCj8fcOAvHc3cRuPh2lB0bsL/fM+3v96VnD8Z3yxyc/7gS2+beGx0D\nF85AaqnB8VHPVL3ARQ8gtqzC3q6xNoUgePFDGKaM6/W7MWKTCFz3DPKqb4kcNwXTG7I+g7JsNbf9\n8ovV3LZuXaf/L4ARE0PoyistXXBdXefnr4P9NW02JFlGamxEqqjATExEHzIEsX076uLF2L74wloJ\niouzmNacHMtmbdQojJEjLScJXbe+y8NhpIYGRGlpZziGtHWr5ed93nkQDKIsWYLy/fcYWVkW0O7f\n37JWdDgwY2KscBzTBJcLec0alC+/tABpYWHnjTlA5LDDLHCqacgrV1qvZefvx3bWlmDQYm+zs6Gt\nDfvzz2P78MPOm9qdbyIiRxxBeMoURG0tUl2dNWe7S8bOYFvatAk9Jwd9wgREczO2xYuxffYZuFyd\nYFsvKMDIz0fPysIcOhSpttYC2+03Izsz2x3x7OEJEwhfeilSOIzyySeIsjIiBQMI9etHJDmJsNOB\n36kSjHEhJyVT6WugWGtii9FGdaCFFi2MYnfhcsTicsQi76FvcLCtnucPv7jH9hNPPJElS5bs2pt+\nb/1TtRf8/onVl9dvB/PYAXb3RB/8z7K7fZWmabS2dl2UZVkmLm7XzQLRgK8ZsRE+pxwc8cg/3oIs\nnkWK6XkezGoHun4Mcsoq2LcKyb3r52kGgDVp6KETiAy8nmYpqXOfJEkkJHTl23fIGUyfD6O0tF1+\nICNKSixGYssW5M2bEUVFEAhYQHbCBKS2NpRvvrGaN1wui7HJzsbIzkbPz0c/9FCk1lak+nrrIqlp\nICQQssVUtLWBXbVY4MQkKz71s08t+7K2VqQ2L6aQCF94EcaQIYiqKpQP3kOu2I5ps6yJtANGop1y\nKkZ8gsXgtLVaTI+iYCYlIepqkerrEeVlKCt/xnC6iZx/EfKGNUj19egHHoQRn4DpicH21afYF8y1\nwKmi4H99IbZP3sUYMBR98HDLGs0Ti1K4CsfzXSlsBuCf+xGu2y9B1NdgJKYQPvlctH1GY2Tk4Hjh\nYdSl3W16fDOeQl2yENvKng1L3pc+xH3jaVFBpve5j7HPfQhtzASMjH6YDo8lK1nyEeG/nobzpfs6\nG+92LsMTS+DWJ3DPuCTq30t41DiM4SNxvPFk1P1GRg7Bs6/B9dTfo+4HaHvyfUva0Qs4NlSVwJ2v\n4r7jvJ77UrIInXo++j6jMGMTsP30AeqSuYi2xigzgW/aqzifuLJPUGk63Phunovntr7ZXFOS8D30\nHp5ppxI6+nQip5+PY/4MlJLVPcaGJlwIzX7sX++aldUGjcR/8QMordU4n74yaiPczhUZNpbIEWfj\nevQaAAKX3wMqOObM6D3YQsj47nwX56PXE7zuUdT3nsW2tuffFFj3koEr/4EoX4fji7nd99mdeB/7\nCqmy2AL+kgxtLUihINo+ByFXlmA6XRj9hqO+/hCR0y9HeXkujpkzLfCWmYnevz/6oEHo++1nsbaN\njVYSnNNpuSSUlnZpbdevR4RCGCkpBG+4AX3ECERlJcoPP2BkZGC225GZ7axtRzOZ6fFAcjKipATH\nww+jrFzZ9Rpk2ZJSZWQQPv98K6q5rMxijzvmsNksL+KqKssnvKQE7bDDMIcPR1RWos6di7xihWWr\nmJHR6UVs5uaiDR6MmZJiAVOXC6mtDamy0pJ7tXsaS6WlIAThyy+3AH9jI7ZFi5D8fou17dfPWi1r\nB8lGXJwlaWhvmlYXLLDSKn8Htg27nfAFF6BNmmTJTYqLLQnZ71P2gkHLYSc1FTM7G1FUhOPZZ1Ha\nNcQ7g209Px/tuOPQDjrIStGMRLrbT9bWIpeUWFK2jRvRjjsO/aijkKqqUOfNQ1m/3nLayM4iPKCA\nUL88gnExRDLSsWVmU1u3nXqhUSc0tssaNbKB3zSJCAURxQNZb6nnqXE9we9ej99/b+0Fv39i/R78\nGobRLWhiT9ndDrD7+xjhP6IMw6C5uctn9/dAMlpFBb46aAe9BlorSs2dSJk9Y5NNA9giwwk60m40\n45ptYK7NwTBPRx96PXjSre2mSVNT9yXuDuZbaW1FVFZiW78e27x5KD//3BndayYlYaano+2zD+FL\nLrEAcXvyGrJssRKK0q6bbUFqaMDIzsbIzUHU1KK++qolR9iJRTOAyJmTiZx1FpLfai5R1q7FdNgx\nnS7MmBjM5GTCZ54JqopctAFpR5W1NK7poGmYMR4ixx6HaKhHWb4MeUOhBXKbmtBTkglPvwWptRnb\nC88i2VX0ocPR9z8A7YDRSAEforoKsb0C5dulaAcdgjF4KM5br0U0NWKoKuHjTyF89U2I6h3IpVux\nLXoLee0qQldMw4yPw/nE3d3Ope/B51G2rsVIyUTvPwRCYRxzXiQ8/kSUolWonyzsNt5ITiNw28O4\nb+sZDxw6dhKkpGB/1wrAMGIT0EYdiTbmGPT0PLA7UL7/GvXjt5ErSrvmdHkI3Pc87lt6LhsC+O5+\nAfvbz6FsjR6b7X1yEe47zkMK+KLvv3c2rhfvQtRETzIzUrMJTrkB1+O9p7EFLrkD5bfvsK1Y1uuY\n4MTLkFqaEA01hM6eimSTkDf/YgHhVouxNhUbvlvfwXNn35KH4MlTERWlqD991ue48JETMWLTcLzT\nfs4VhcCdMxHhJhxzb+/WdOe7bSHu287oc77OsXe/jfO289D7DSV03QM4n7saubos6lhTkvDd8z6u\nG07r9nkJTrwCY8hwnM9dG9VGLXD548jLP0f96QtMWSFw1yyU7xajfvdB9OMAgeufRV7/LfZl72Aq\nKqGJ16INOwx1zpNo405C1FXhmNcljwgfdgKRE8/Deeu5mMkZ+Kc9DIkpmGnZmLoBVXVITqcFdF0u\n0DRsixahLl6MVFxsAfcO5jY/n/Dpp6OPGYO0fTuSz2eBN11v99muQt60CXnDBuR16zAKCghefbW1\n/L9hA+r772MkJqJ3aG3bgaRpt2NmZlqhFh4PUnU16ttvI//6K2LTpm7nVE9LI3jHHdYN9datVkNc\nlIY9qaUFmpos5weXC2XpUuwzZ1ruDmA1wKWlWQ1pAwcSOfdcjPZUSToSPW02Sx+9Y0dnXDNVVUSm\nTrVs2bZswTZrlhX/nJmJnpeHMXAgZm4uhseDUVDQ6bCBw4EoLLQi3jdtssB2SQkCMBwOQtOmoY0d\ni6iosAiJjAwLbLcz250rdk6npSuOj0ds3479mWes1bpg19+5abNhZGQQuuIKK2Wv1FqN68Zs73Qj\nQUUFxj77YKamoqxZg/3llxHl5ZYeOSkJMyMDLTeXUEF/QgcfjDZ6FB9X/Ma3TcVEJAlDFmSLGO4+\nontTm67rnHTSSXz7bXQp1t7612sv+P0TqwPk/m9hd/uqaEAyISGhV5DdG/DVsy5GNj5EyqmLfqA6\nIBsYsYvn0yBhFg7AsJ2JPuxacESXMzQ1NWGaJhKgVlejVFSgrFqFqKuzGi06YkjbdW0dncnExoJp\nYnv7betiVl7eza5JGzCA0PTpmOnpiJISbF98jpmYiJGegZmWihkbi6HaMYcNs5rKWlpAFkj+dhZM\nSFbssD8AMTEY6ekQG4PYsAF58yaIaNayZySC0a8f+oEHgtOJXLQBgiFwtZvVe2LaLzR+pKYmCPgt\nTWBDPdpR45GL1uN4cAaiyWISjfhEfC/PRt5RAZqOkZ2LFPBjujxgU3BNn4qo7LIkC15wOWa/fjgf\ntMIUjOxcQpMuJHzIOITLjVj/G/aXnkAptnSgkX0PJPy3i3DfeVWP98L70kJc912FaKjptt0EvHO+\nQv1qEdqQkZjuOKRQGGXJ/2D7bDH+F9/BffUkS+rxu/I9+Ar2uU+iFEdJdAMCT72De/qZUf82jJgE\nAtc/iPv+qdH3A/5H38Kzk5a3x/HvmoXj1fuQd5T1Osb7+GLcN5zeK4sJ7ezxtO5SEO2AsQTPvQpU\nGWXLiv/H3nuHR1Wubd+/VaelQRIIkARCIFQBEUSwt62iom7RrYiCBUGpShMQrIgidiyoIFtF6R0E\nrIiKqPTeSyCEJBBIMn2V9497MknMBN3f+zyvPs/HdRyhzFqz1mQyude1zussSKUnsSUd55IpZzkS\nlI2bRdyYsye1AXifn4Nr2B3VbMjCrToQ7P80jmXvoP22HKNZJ0Idb8P9XuxAjSrPbd2F8CXdozcD\nlsuD76XPcayYira2emMavHUgnDiJY+Vn1baFLruZ8PV34p70IFIlpDt49T1Y9Vrgmvxk9DFbkvCP\nnIy8fwPOpdVpM9F9hr0HIS9W/Sbon05GX7squj1w3zCsuum4J1XY4RlNWhMYOAH32AeQigsJ9h5O\nuMs/sOMSsJNSYdMmPM8+h3T0KHaDBphNmmI1axYRhTXBTqolqEweD3Y4jPrNN2hr1gixbKFYA22X\nCzMzk1DfvpidOiHl5SGdORNttOyIQ4JUWIhy4ADSzp2YmZmYV12F5PWirVqFvnixmELVq4eZlSVQ\n2/R0rFq1MFu0QD59WnCI/X7RSEa4yMqWLdGwDqNFC4IjRmAnJKBs3IiyZUtFEl250M7hEDf/Ho9A\noxMSBIf4vfeQdu+u8lmy4+IwmzcnMHKkiFw/cADJtqsEiKAoSKdPC0FfSQnhLl2QTBN19Wocn3wi\n3gdNqxL8YTZtitG1K4TDyIWFwhs5HIZAIIpsKzt2iMAOtxv/6NGQmoq8fTv6p5+C0xn1ay5vtnE6\nMRs2FNczl0uk7H33nbCh27YNef/+CkqL201wzBgh2tu7F2XbNhFp/XtEWlWRysqQTp8Wn4nsbOxk\nMYn8fdtl23b0WmrbNvv27WPChAnMnx/bevFc/d/Xueb3L6yioqL/yPHhvxvd/aMqbyTLKzExEUX5\nHen/TC7aoq7I9t4qD9sm2Hot5HZVG+hoGUAB8A/AEXsX+7iMvbsVpuderJYPgxpbhRulM/j9hPft\nE+IHpxM5Lw/p0CGUvXuFMGLHDuTTpwlfcw3BBx4ASULZuRN95kwAwSNr1AirYUOsOnXEAle3rhj/\nOR0QCoukpeJTyHnHBdf20CHMrCzMm7sh+f2oK1eI5tlX1XMydMUVhAYORPL70RYtRNm6BeSIOE5R\nsNLSCPYfCOEQ2tLFKFu3CCTF7we/j9Ctt2N07Yr6/WocU94WYz8i8bYTX8VKq4u2eD527WSs5q2w\n0+phpdRBKitBPpaLsuE31B9WIx/cT/DBR7DOPx/XyP7CHi1SwX/dh3HN9chHD2E2aQFlXpTDB0So\nRpu2uIf2qdLQWaqK998LiXukO1KwKtc0dMk1mBd2xvXOc9i6A6Pl+RiX3YhVvyFmWjpy4QkcM95H\n+enbKhfQwN0PIUkWjjnVRWCWw4n/pal4ht8T83MQuH8oSu4etO+WxNzuffIdHLMmx2ycAQK33I8U\n8uFYWfOov+ylWcSNrLnRNFpcQLjL9bg+rO44EN2nSWvC19yJ6+1xNe/TpjO+kZOQCg6jr5mP/uPC\nmEEYRv1sgv8agefFvjUeC8DIPo/QzQ/jfnFgzO0WEBw8QdyUOd24nu31h/xhgLJn5+AeeXc1hwff\nE28hBU5VoTLYnkS8Iz4m7rGaecThVh0JPvAEnom9kfylGJnNCfYaj2dodUqHDQQGTkDyFuP8vLrl\nnO304HviQyzZibZhDc5Pq/OmgzfcRfjybrhH9agIp0hKwffUVBzvPI22ayPh8y8h+MBI9M/fI9j7\nMaycNnDypPjd9HnFGD0xCam0FG3ZMrT580TCY1oaZno6VvMWmDlNsdq1w6qbhnTypBj/KzLy1m0o\nW7eibNuGsmlThUtCcjKBUaMw27RBzstDzs0VPuKRZivaJJeUiNjliJWavHcvjk8+QV27VjSe5fzY\n9HTRRF58seAQ5+YiGYYY/0cS5OQjRwRdY8cOpB07MG66iXDPnuD3o61YgfrjjyISvWlTrOxsrLp1\nRehHXBx2Zqage3k8yLt3o37zTbQhlc9UWP0Z551HcOxYbEURCZR+f5XY56h1ZOS6Y9WtiyTL6B9/\njD51apXPWXnwh9GyJaHBg8G2RdBPZFJnV0K2yy3kCIcJ3XorMqB+9x36Z5+B31/h15ydLXjEDRoI\n1N7rFcEfmoZUXCx+FpUiraX8fEhIINSrF8b112M1aYJUv/6fAqcCgQBffvkls2fPJj8/nwkTJpxz\nevhvrHPN719YZ86cqeKgEKvKm11d1//b0d0/qjNnzlRxloiPj69CxpfXvoS649kqdmYgGl8pDcis\n4cBHgeZAs+qb7H069pH2mMkPYjW7p8bAiag7Q3GxiOfcuhX9889Rv/9eLOoQtfwxGzUi1KcPdnq6\nuCiFw2JxjER9Sj6fGEPu3w+2Tfjqq8EwUDdtwvHJJ8KTk4guze3GSkkh1KOHELbl56Ps24sdFx8d\nJZbTJOzkZOyEBAiHhXn+6WLR0AaDEAgg+XzYiUkYTZuAy4X66y/IRScFSgzYSJhNmmA3bCTsywoL\nAHGxwjKxGqQjny5GKjiBXHJGcJd3bEMqLSMw+km0r1agf/hulYbV+/q7KEcPob81Eat9J8KXX4PZ\nsg1WnTTk4iKULRvRli9C2bkNybIwmjYjMOY5PI/2QPpdg1P2zgyc709E3VmRomYDVlo63vfno+7a\nhO1JAEVD3vgr+oLPkYqL8b0xDU+/7tV9fQHftEV4+lV3fwDwPjMZx9wPUXdV56iK17MQz6DqfsHR\n5786B8+w2FHIAGVvLMQzrHuNaWvBf/wLnC4ci6fXfIyXZuF+ri9y6emz7DMT9/P9kU+frHGfcPtL\nMNp0wfHhRELdHyJ8zY0oJw7gWPQ2St6B6H6+R17B+ckk5JPVrQIrl3fUVFwThyB7q9OOqpy3TWf8\nj0/C8dUM9AXvnBW9Dre/EqPttbgmj465PXhDD4yrbsL9Wl8kfym+gW+jf/w6au7emPuXl9GgMYGR\nb+KaPAD/wLdxD7kNOVwz5znQeyRWUhLuKRX+wmZaJv7H38X5wmOoh/YQ6D0UM7MJnheqo/7h9pcS\n6D0Cz/A7og2/rTvxjZ2CumYFji8+x0qsjW/se2jLZmNltyDc9V/YSbVhxy7UQweRd+5AOXAQGxvz\nvPOwLuwkOP4+H1IwhB0fj1RyBn3BAtQlS5AOHUJyOARinJmJ2bwFxnXXYWVlIR0/Ln7HdV00XMeO\niTCdbduQt2xBLivDysggMHw4VmYm8pEjqGvWCLeFcpu1yiN7RRETruRk5H37cE6YgLqp4neo3ELM\nrl+fQM+emJdeinzkiBj/lztHaBqSaSKVi9H27sVo3x6zfXuU48fRZ8xA/eknMdWq1GxbWVniKztb\nOGRE0Gjp+PFosy3v2CEoG4ZB6KabCPXuLRru5ctR9u8XzWh2NnZaWkVcs8uFnZoqGl2XS8Q1L10q\nkNtKnuo2YHTpQnDkSLAs4Svsdgv0t5z+EaG02QUFQtTbrBmUlqJ/8AH6F19E1z3b7Raeyg0aYLVu\nTahXL+w6dZBCIeT0dEGL+4OyLIsff/yR2bNns23bNq677jp69uxJTk4MH/tz9V9a55rfv7ACgUBM\nTupfie6erUpLS6sg1dGUtxrQXgBMoKbG9zhQD7ig4iHbArbHYRV2iViSXRfztdi2LRBe08Q+elS4\nM2zciLxnj1gYI5Y4Ubsfh0P8OzK+0xcsQJ8yBbmoqgOAJUmEHnyQ8D//iXTmDMqmTQLNSE2twvmy\ndB2SksTFJCEB6dgx9AULkPfsRjl4UDTggFW7Nv5Ro7EbN0bZsV1w544K/qgNYuHOaox/7DjQNbRl\nS1EjLhPlaIftdhEYOhxJUdA/no6yZTNSaQmUlSGZJsHudxK+pyf6zE/R5s6u0qAEBgzB7HQRrieG\nwMkirGYtMVu1xmzeCuOyK5G8ZYI3XFqKsnsHyrqfCN10K5IMzvFjqyK7Kal4J08jrp/gLVeuwJ29\nIS0VfcksjA5dMNp3wU5KFmKhWinocz9BnzW9ipgFwPvhHJzjh6EcPVztZ+x/YgLq2q/Qfvq62jZL\n1/FP+jeeobEpCaFLrsNq2gLnJ6/H3B7sejfoOo7FsdPWrNQGBO4fhnvSYzG3A5S9uhDPyDuRamjE\nLF3H/+QHeMbG5iMDWE43/lFv43myOg+6cpW+Pp+44fdW4SZbdRrgH/Q0dq0E1F9X4vh2JmVjZhAf\nw9u3yjkTk/ENfZe4EbHpIJXLO24qrokjCF3VDePam3F++GQ0NKNy2YD3uXm4h91xVr9gIyObwKi3\n0L+cTrjddXierS70qek1e19fguPjV9G/nvuH+wdv74vRoh2eVx4hfP7lBO8agfuxf0UdQABCV95C\n6NZeuEfeWQ2pNjJzCIx8HffYXsjFhdHv0T9wAoTDuN8ehy1JBPo/ix1XC8f01/CPfAUzLQPJE4/t\ndCOdPIl0+BBSMIidlCSix/fsRf3he9TNW0CWMZs3w2zREisjE6tVS+EhHghgx8WLhmvhQtSVK0VI\nBVRQGxo2xOjRQwTjHD0q0uPKgQjDEIhkhB+rbNkiIpkHDwaHA3nLFvRFi7CSkrBycjCzsytG9rqO\nVZlDXFgoOMS//CLcESrrGOLjCTzxRFRgJx8/XhWNjrg2SKWlUFCA3bAhdkoKym+/4Xz7bZSIlZot\nyyKcI8LVDXXrhtWmDfIB4VlePg3DNJHz85H370fZtQtpxw7Ct96KedVVyAUFaJ98grp5s2hI09OF\n0K5RI5Eol5qKlZGBVFIC8fFC0Lxzp3iPtm8X/y4P5rnySsL9+0MohLpqFZLPJ0CHevWqBXZgWQJc\nadoUGjdG+pPX7K1btzJ79mzWrFnDRRddxL333kuHDh3+Vtf7/+11rvn9C8s0TQoLC6sFTfxdq1rK\nmxwg7odhyCcWIqkxLnghoCFQ/3ePFwCJwEWADHYA2JKK6b0Ws8kQqNMm5vmjYRN+Pxw6hH3ypEAO\nTp2qyK/fvj16t2+0aUNw4EDBN8vNRZs5E7m0FCsjQ3DZGjUS3FyPBysnRyCvLheS31/hrbl7d5Qe\nYQHhHj0I//Of4POhffmlEFh4PNjJyRVG8g0bYvzjH8glJUj5xwFJeANHEt/K44Rt3YFduzaSy4my\nbp1QaJeVCJ5YmRdb1Qje0xMS4tHnzkHZvw9blgT6LcuYjbMJ97gH6eRJ1E0bsOMThHDO4xYc3jgP\nlJUhFxdDMIDk84pxaUIC1vntcY4cgnpgX9Wf8aS3UA7swfl+VQ9ey+nE98l83APvQz5VhJHVFOOS\nKzHbXYhVP1PcABSKRCftm5Wo365E9vkIdr8HKysL12tVk/0AQl1vxcxpgevtCdW2WS43/lem4Rkc\n29fX9+Rr6F98jrrll5jby95eiGfEXdXoF9Htby7EM+wOJCM27cj7zFScH9TM5bWSkgk88izuCdW5\nzeXl7/c06i/foq1fXeM+3iETcayai7o19vcBYDbIIviv/rgnVo/rLa/gdd0J3vsokt+L59UByPnV\nbybKy9d3PPqSGagHYtM9oudNb4z/oaeIi4gJLV3H99wHyGUFuKaOqxIxHb7oBozGHXF98GxNh4uW\npTkom7oafcXnOGa9cVY0Ofr93TEAy1Qw212EtvE7HPPOznsGCP3jXwRvuhf51Elco3rFjFg2mp6H\n//GX8IyraHKjrzMpBe8z03C9+UT0vbIdLvyPT8LMaIr27WIk7xnMlh0wW16A86l+WB0vJ3RVNwiF\nsBs3x3a6RcrimTNIXm9UPGXXro1kmEhnTgtP8NrJSEVFaMuXCZrU6dNiLWnSBKtlS/HvRlkCWfSW\ngdsDPh/qihVoq1cjb9qEHJki2i4XZv36hO6/X/CCjx9HOn26gkJQHo5x/DjK3r3I27djJSdjdu8u\nGr7vvkObM0fcmNerh9W4sQi1aNBAiNFatYo221I4jLxlixj7R8R65UirlZyM/4knsJo2FVSz1asF\n6tuwoVinKtManE5BdahdG3X7dhyvvoq8fn1VDrHTKRwt+vXD7NxZUBoilDZb1wV1RFXB6xUOOIcO\nYbVti5Wejrp7N9oHH6Du2VMhRqsktDM6dxahQ7m50UZbMgzh/FDuarF1K9Lhw1gXXkjo4YexWrfG\nbtwYyeX6U1PZI0eOMHv2bFasWEGTJk3o2bMnV1999d/6mv+/uc41v39h2bZNMBj8H3O3V57yJpce\nI/Hn4TjKViOpMT4+duSrLVA5OO0YkAJ0ArtYwt7RGEu5DbPFoKqpbZUPVU5nOH1aRGlu3izoDKtX\nVx0/paVhZmQQ7tULs21bsTBGuFlIkhhBFRcjHzokUIOjRwndeit2To5IZJo7F/W778A0BQoSQQ/M\nnBzC3buLkWNurkAhIKpqlk6dEormgwexGjbE6NgROe8Yjs8+E6/xd79exnltCDzxBGCjLVqEtnYt\nttMBDmf071DXrphdLkbZvAl56xawbSGEsm2wLMw2bTA7Xoj6/WqUX35GLi4WXLSyUggGCTzzPIRD\nuJ4aLRrfSFlA4NW3kIJ+nM+MrkJbsADf1BnoXyxGXzgLC7BymmO2aovRsg3mFVcLJKvkNJLXh3z0\nMOpv65BOFhEY8wyePndXQ4PN9EwCT72E+5G7q1MaVBXftHl4+twW01vW++p0HO+/iLp/V7Vtlizj\nf3MmnsdiI5dGRjbhHv1wvTI85nazfiahewbheiV2M2kB/pdn4TkLl9c76m3hInFwZ437lL26AM9j\nt521uSt7eS5xj5/dRaFs4kzc4wdXEwr+/jX73piH++kB+Ee8gO12oi+fjvbLyirnt1WNsufnED/k\n1rOeE8D71DRcE4Yil1SdToVbdSA4+Cn05VPR1ywUqO/z83E/9s8RrKVWAAAgAElEQVSYDebvK/iv\ngdjFJeCJx+zYWfgRl9SgBQCMxi0JPPg0cYPFzzvw0AisRtm4Jg2KKYKMnqf7IxitOmMnJeN++mHk\ngmMx97NqpeB9dirOKYLTW7lsVxxl762CouNizI+EvGU9yu5thO7tj7L2W+SjhyEhiXCny7AbNISS\nYqymLVF2bcVWNezMxtimAa54ET1eUoJcWipoS06XuCnduAl1105shwOjbTusducLpNLnA2xst0eg\nm9OmCQ6xLAuKRMOGojnOzhZ84qY5SCUlgpZg2yg//4zy668omzcLKkE5d9bpJDRoEOHrrkMuKEA+\nckTEqFdyNZBkGU6dQjp0COLjRbz68ePCh3jFCsFt9nhEg9ygAVZODkarVhhXXCECf7xegfwGg4Ku\ncfiw8CHevh15926sxo0JjhyJHReHsmkT+rx52AkJUVqDVSmsw8rIQJIkEWhRUIC2bBnKli2i2a68\nxjmdBEaPxrzwQpR9+8R5MjMF3ay8SdY0sY6XlAhrtORkgUY//zzK8Qq6kK3rUaFd+PrrCffuLShr\n8fHICQl/6rpdVFTEggULWLhwIQkJCfTo0YObb775P0tHPVf/LXWu+f2LqzKS+nev8O4v0NeNQzO2\nItV0sxpCuDVkRP4fRCC9rcFGx85ti5l4L1bz3jEjhaNiNcvCPnJEuCysX4+yZYsYPUV8MMsXMlvX\nxWIdFwcuF9oXX6C/8QZKYVUUx5ZlwldfTWjgQGFdtl94wlbLnbdt7Iifpd2oEdLJk2jTpwuu1+9G\n9pbDIWx2rroKOT8fZf16gSjUrh11kEDThAAkJQVhOeFA3rsH6Xg+clER8onjSCcKoKiQ0O3dsZs1\nQ13xBc7pHwkucOW39sqrCA4ajLruZ5xvvS4ENpUqcP+DGDfehPPF51E3rq+yzarXgLL3PkRfvgjl\n4H6seg2w6qeLcWByCnZmI6SSM0iniyEYRPL5kI8dRT6aS6jXg7jGPI66tSq31opPwPfRTNz97kE+\nXbV5sWQZ3+dL8fS7G6n0DL8v71vTcXzwWhV+cPS59TMIDBqDe2y/ip8fQHwiVq0UAgPGIBceR847\njFU7FZKSsR1ObFUDRcXKyEY6XQThkBjfShIQQcwlCSu1rohzDoeJ3qnZFV+2yw0uN3J+LhghYZB/\n5iRyYR7SiVzkk/kEHh6HZ2j1oI7yMlp2INz5urMK3YJX3YadmIpz7vs17mPFJeAf8Tqe0Q/UuA+A\n/9FxqBt/Rlsj3AssWSbYdyRm+wtRt3yPY+EUpICP4E0PQkkZjlVn9+s1MpsS7D06pi1defn6j8Nu\nkoOy9Qds1YPr4+opatW+n6QUvGM/JL6faL6ttAx8z72DvnAK+pql1fa3NQfeifNw9/9n1bCF1h0I\nDnwK18QBKMero9zBbg9gNm6L+7nBWIm18D37HtpX83CsjB2dbOsOfE9NQf35SxxfzMDWHQTvfBSj\nwxWoK5dgp9bFatIS1/BeUYqErWoEho7HSkrGNaoPsmURvrIrwXsfRfvwDSTdSeiePlh10rATa0Wm\nLz5BafD6xNSq4ASSy4Xt8iAdOyroTC63cAUoK0NdswZt2TI4cxo7u4nwEs5qjO1xY6WkYiclgWVC\nfAJyQQH65Mlif8sSdmgZGZjZ2VjNm2Pm5GCcf74QnBkGttMpUM2IY4GyaRPSoUOCrqXrhB55RPia\nFxSIgIw6darGEEf4sfj9glPcoAFSQQGOV19F++67CmFjJVqD0bkzod69RShHQYFYw8u1FqYptBYR\nAZmlaYTvuw8sC/Wbb3DMmiV+fyNiPjPiH2zVqoXVrh34/cJrW5bFFC0CdER5xIYRRaPt7Gzk3bvR\nFy/GjAR/2PXrVxHa4XSCYSAlJGA3bYqUnPynGl6v18vy5cuZO3cufr+f7t27c+edd1K7du0/fO65\n+n9X55rfv7jOFnTxt6iSYyhfDUApWInkOkuMcPmmcrQ3H2wZ8CRgGVdiZPSDzCtjPjVKZ/D5RLpa\nUZGw5SkpQcrNFYvh9u3ClqegACMnh+CQIdh16yIfP442bx7yiRPC4qdpU+yGDUXD6XRiZWUJ5NTp\nxDZN1FWr0L7/XiAGJyqQNKtePQJDhmA1ayZCJZYtE2hHVpZYFMvN2R0OqFdPjCo9HuTDh9GWLxdj\nsV27kMpFEqpKaNAgjMsvQ849ij71Q8EfdjgEwpKYiJ2QQPjqqzG63YJ86CDy/gORxdcBigqK4LqZ\nLVoKgVtRkfC9tO1IUwcgYdWrJ/57SlidCQFcxZd1fntx/CNHkIoKBG8u/7hwbWjRktCdd+MePgjl\n0MEqPxerQQbeyVNwD34YJe9o1W2qim/WElyP9am2DcD73ic4pk5G3biu2rZwhy4YXbvhfGk0du0U\n7JS6WHXrY2VmY9XPINzpMpSCYxAKYqt6JCJaEUhSIICdnIo+/zNx45B/DDn/WNSrM/SPmzDPaxeT\nZgEQvvBijKu74nppTMztlizj+2AengcrEFsLIC0ds2EWVnpDQjfegaRISJaBbRlIoSBS0I9UeAxl\n9yaUQ7vw938e9zN9zip0K311AXHD7zoreukd9x6Oj9+s0ae4/PX53pyP59HYdmqhzlcTun8AclEu\nVlpD4gb/cUqb95l/43puIHJZzWlzAFZKPcomz0NduxLXtAk18p+jx336I1yTnkQ+URWF9T4xCTwO\n3G8Mr+ovPHwy+px/o237tfq53XH4Js1AX/5v9G8qLKGC1/fAOO9SPOMqxGy2JBEYOA4rNQ3Xc4/E\nRKhtIPD4S5jpWaA50D9+F/37Cq9ko3kbAsNfwPHuBLTfKsIHjHYXERj4JI63xqNtWIut6QQGjMFs\n0hL3iIcxO15MsMdDYl0zLeymzbDq1hPIqSyLpq2kBOlkEVKZV3BtvT6UDb/Bgf1YV16N2eki0Wz6\nfCDL2J44lP370ae8h7phA3ZaPcwWzTFbtsJOqyu49k4npKSIG8eEBKQzZ9Dfe0+sl5Ylxv916ggE\nOScHo107EVBRWop0+jS2wyHEaKdOiaCO7duFwG7/foiLIzhkCGaHDgINnjMHVDUqaovSGhwOLI9H\nJGI6nUi2jf7vf6MvXQq5uVVpDS4X4X/8g2D//kilpciHDlV3fdA0ESedm4skScICsqgIx7x5aMuW\nRd/TaKBFVhZGixaEb79d0NBOnhSCPdNEsqyoYK9cQGiXlRG6/37CV11FuFEjQhFrMkmSkGWZ/fv3\nM3XqVNLS0khPTyc9PZ369euTmprK+vXrmT17NocPH6Zbt27cfffdZGbWpPI+V391nWt+/+IKh8NY\nZxGI/CXlO4Wy7D6Uwm/BZdZksCCq3NihGQJAOw22Wger9l2YzQdCQkbMp1VxZ8jPR960SSiE16yJ\nJmXZui5MwtPTCd93H+YFFwhOls8nBBUgRnNFRcgHDghLnr17Mbp2xbzkEqSSEtSvvkJftEj45aal\nifFc06ZYTZpgtmyJ1aiRsKfRdbCsqI2QvHu3QAy2bQMg1L8/xqWXiuSihQvRvvxSLPDlF4+sLMzM\nTJF1H1lUo+luigyBoLBEO5YHeccwL+qMnZWF+u03ON95B6mkKjpqaRrBp5/Bat4cddEi9M8+rZYg\nFu54IYFRo1F/WYfzzdeidmfR7Z27EBgxCsfU99GXV7f78r7wMpKu4HpypPDJrPzcNu0Ijn4KT//e\nwvS+8msDvDOX4Hp2BOqenVUep04agYcGYDVthrJtI1a9DOxayaBqYBogyVipdZBPnxSo6enTyHnH\nRLTy/j2EbrodZecmHLM+ifm5Kft8Ke7+PZHPVG8qLVnG9++FeB6InRIHUPbxEjwPd6+x4fQ9Pxl9\n/qeoG36Oud1SVXxT5lRpjsvLzGiI0b4z4S5XYDVtjnSqEClQhpKfi7r+O9Sd66MouEiOG4L75aEx\nz1P+/fhf+hzPY2f37P096ltT+Ua+hJnTGrmsGH3eFNSNa2I2y0ZWC4L3DMPz5B+L0fwPj0LZthX8\nXoIPP4a+/FP0L2fHbsIvvh6jzRW4J8X2Cw637kBgyNO4poxD3b2B0DV3YjRqi/v12Dcq5eUd+TIS\nJq63RxO+4jZCnbsS90Ts1x66+FpCvQfjfvL+ahxfo8X5BAY8h7LuR8yOF+N6ZmCVQBVANLYjJmA5\nnLjG9Y82b7amExj+ApYnAdeoh5ER9JrAEy8i792F87VnCd/YndDt96L88C2SJGN0vgwbCam0BCsz\nCxxO5AP7sFPrYKekIJ0oQDp4AOLjsWvVRjIMlB9+QF21Atm0MM4/H+u887CSaoHLjeVyiaAehw6e\nOKRDh9B+WIP69deQkIDZrDlmyxbYddMiKXIO7MQk0VS73UiWhTZtGvrHHyNHpk5R1LZ+fcz27Qk9\n8IAY/eflVaTPlduHlVujbduGVFhI4LHHBN/34EH0jz5CLikRFImmTcUUr04dbJcLq27dCIJtgcOB\num4dyi+/iHjlbduqhFCEItM7yedD/eEHAXCUO1r83hpNUYQ1WjiM49130WbNitI+AIFWp6VhZmcT\nHDAAs21bzGCQUK1aNQJSy5cv56GHYqdFappG586dWb26Zo7/ufr71Lnm9y8uwzCq2If9ZVV8GHXR\nLci+3eC0a6Y1lJcBqEA62KUStp2J2WQIVssH/5jOcOiQoDP8+ivKpk2iGY14O0bpDJXdGVwu1FWr\ncLz2GkpBQdXjKgrmRRcRePxx7Ph45EOHRMP5u6z5crSAQED4NQaDKFu2COuySHqbLUnReE+jTZuK\ndLcjRyLooyxsyyobs+/ejZ2aKnhuJSVoixejLVlShbJgA7bHQ3DwYIwrr0A+cAB140aslFRITsZ2\nObE1HTRVRCUnJglKg2UJcUs4jOT1IZWVCtN3WcK44krkM2fQp09DKioS+5WVIpd6sUwT/6RXkY/m\n4prwrOA+R1Bg4UCRTNmH09HnzUL/7hsst0sIaJwubLeLcIdOGLfejrZgNrYnHjsxEeLiBbfa4YKU\nVKQzxcK83whD2BCIXyiE1bgJcmE+2uL5yHlHBffvZBFSwC8ax5mLcQ3ug3K8Ov8ydPk1mNffiOvJ\n2A4LvmdeRvv5e7RVNfj2vvoBjk/fR91UHSUE8A8ajXJwN/qyeTG3iwS6CXger5li4B0/GcfcT2Ii\n2uVV9sE83CP7Ip8STiJWgwxC13bD6NgZXE6kgBerfhb6/Knoq+YgBWLbHfr7jRVN7Y9f1niuP0J9\no/s53fhemk7co3diqSrBx5/GatYCdc1S9GWfVLFz8z73Ca6nHqnijBDzmClp+Me+g6fvP6OPBfqO\nwLjgQpzvP4O6b2v0cVt34J04F3efm8/KC7ZkGd9LHyGfPIaZ1Yr4R/4YpQYIXX4joZ6PYgcCxD96\n9lhnq3YqvufeQ18wFf375diyTKDfWKz62biGPYBsGNgJifjHvY6UdxjXG09XO0a4y1UEHxqK8/nH\nUA/sqXj8gosJPjoKx2vPoB7YjVUrmdCdDxC+7B9oy+ejHNyLccX1mC3boK5YgnT8GEbXW8G00L75\nErNVG4EKn8hHPngAq2kOdkISks+P+u1XkJuLeVM3zA4dBZLq82Ijge5A2boF9ZtvkA8fwjqvDWbz\n5oLr6nJh6w5B3zkgbPGsVq2QvF7knTsFamtZWI0bY7ZoIYTAkeAHKympIobY6USbPx/t88+R9+6t\naPwBOzkZs1UrAsOGgdtdsaZGaGmoKoRCAlzYtQspL4/wjTcipaYi79yJ44MPkI4cEVSNCJfZzMnB\nbtiwIl65qEhERpeUIOXliQjinTujQjSAcPfuGD16QGkp2oIFSPn5QtxcyYfY1nXxnng82H4/Zv36\nBBs0ECj8H9TUqVMZO3ZsjduvvfZaVq06+03oufp71Lnm9y8u0zT/o2S3/9LaMQttzWNI1ilw1mih\nW7WCYDsBh0RYaY3VcRJSw8tj7hqlM5SVwaFDcPKkGKWVlYls+HI6w6ZNgs7QvDnBQYOq0hny87Ea\nNcJs1qyCzuByYWdkiGZU10GS0JYvR1u1CnnzZmRvJTsoh4NQnz5inHf6NOq6dVXQguhiqKqi+dV1\nqFMHubAQ/c030VaurCZas1RVNLLXXYdcWIiydasYs8XHV3CQI4bqtqoKikNSEtrq1QJV2bVTpLCV\nH0+WCT32GMYll6Js345j8psVUaIgXmNcHKFevQhfcy3qzz+j/viDWLzdHmy3S3hVJiRidLsF5dBB\npCOHIxxXIiI9CVuWsDp3QTqaKy5OwaBAQANBYa8UDhHufifqht9Qv/0a+dSpqJBO8nqx4+LwvT4Z\n19NjULdUFQYB+B/si52Tg2v00Jievd7PFuB6YRzqjq3VnmulpOJ7bQqeB++IidqGzzuf8L0P4h41\nIOZnzWjVltDd9+MeNyTmdssTj/+1D/H0O4uIbcpcXE8OQC7Mj32M8njmx2vmwYYuuRrzgs643ohN\nuwAwGmYTGDAaddtGzEuuAEyk00Wo675G/eUb5BKBantfX4B7wNkFc/7+T6GuX4v2w9kvuN6XpuN4\nbyLqnqr0ieAtPQjfeifKnk04Z7yGmZZJ8M4BeMadPSQDwPviv3E9PwK5qKoQz3I68T/3DpIVwDl5\nNHLpafyDXkRdsQht49o/PK6tqpR+sAI7FMAzZTzqpj9+jtGmE/4HRqAcO4LtcYvm/SwTNVuW8T8+\nHjupFlZKGo6ZH6Gvqp5AF7rxDkLd78M97lHkvKoR17YnHv/Y15GOHcb53osYbTtiXHUzVkZjLHc8\nxMUjHdiLsncX8pFDWJmNMC6/Bnn/PtTtW7Di4zEvuAirXn2kwhNIDhd2OIzdIB0p9whSaSl2QiJ2\nnbpIwRDS7p1IgF1b6Aqk3CPoc2Yj79yB1bYdZoeOWCkpwunFoQvv3N9+Fehu587YSMgnTqBs3ozV\nqKFAmF0ugZiWo7e7diEVFWFcfjmSw4G0fz/6jBnIJ06IoIcmTaIJdrbLJSKE60TEym43yq+/oq1Y\nIdbh/fur3OiY2dn4n3pK+Avv3i0swhITKxBbXRec2qIiKCzEatFCxCt/9x2OadOQI8BHNPEtgiKH\nb7oJs2lTAXyUc3JlWfi1Hz0qQjYiUzyzTRvCDz2E1aoVdlZW9JyWZQlwphykqfR35RZp/PjxvP32\n2zV+rnr37s1HH3101s/qufp71Lnm9y+u/6fNr2UhfdEH9fAcJCUEjoq14qwVjljO6hqBpKsoaf8S\nVsSd4fcpb1E6Q1ERnDiB8ttvwn/xl1+i4iBb0yroDL17Y7ZvX5XOIEliESwoEIrd7duRdu3CuPlm\nzCuuQCorQ/3hB7S5c5FCIbEIZmZiNW8u6AcRj0fp1CmBWNg28rZtYiRXzh0uj/Ts0oXgI48I/8u9\ne9HmzcOOjxcekY0bR/Phbbcbu0EDISTxeJByc9EXLRIq6u3bq47mrriCcL9+QqixejXqV18Jr8mM\nDIGqNGggoj+bNAG3G0rOCE6rzydiik+eRMo7jnz0CBw9hnHjTVjZjdEXL0Kf8Wm1cAlL1/G//Ap2\nrVo4X52Eurl66EPo6msIDRyMPm0q+pKF1bYbrdsQeGECjokT0H76ofpH4LLLCQ4YjLv/Q1VM48vL\nP2godnJtXM+Oidmslb3/CfqMaehrvq22zQK8s5biGXQ/clH12GtLlvHNWIznoTuQAv5q2wHKPl2K\np++dSP7YKKr3nc9wThqLcmh/zO3hCzoLLvDEmlGdsvdm4x43GLmg5gCJ0o8WE/fw7dVoJFWOM20R\nnkH3VaG6WE4noZvuwLzmBmxdA11DPlmIa+KwmIJBqHB48PS//awNstmgIcGHR+Ee3a/GfYxW5xMc\n8iRW7RSczw9C211diFi5wl2uJdzpWtwTRtR83ows/ONeQzmyEzM1g7ihPc96zPLyj3kdZfki1J9X\n43/+LXBouF4ZiXwmtiOE0SgH/8hX8PQSqLLRtiOBwWPRZ76Hvnp5jecJXd6VYK8h2OEQrncnov3y\nfcz9rIQk/E+9hnx4H663KwSMNmBceBmBES9ih8Io+3bjevkp5BPi82Gl1iUw7CnshCRcowcinzqJ\nraqE7n6A8LVdUb/9Cv3DyVhZ2YQeHoyVnok2awba+l8I3vsgVrMWwuv33x9iZzTEuOxKrNrJSCUl\n6DM/Q8o7hnn5lZht2mIlJmInJIo1z+XEtkH2+pBO5IvUtLp1we0RegLLFsDDup9Rf/gBLItQn4cx\nLrsMqaQEeccO7Li4qPdvuXhXKisTfr5HjhC+8EKoXVtQGj7+GGXbtig9wmraVKC29ephpaRgNW4s\nHCji4oQwOLJmKtu2CX/d8tjgjAz8Y8Zgp6UJTcbOnWINruT6UM77xTTF2lyrFuratTjGj0eJhA+V\n/2xITMSqV4/w9dcT6tdPXFcSE5Hj4v6UcO306dMsWrSIpUuXkpKSwu23347D4WDDhg3k5eVRWFhI\nXl4ex44dIy8vj0AgwOjRoxk/vmaR67n6+9S55vcvLsuy/qOI4/+4ig+gLr4N2bsHNBupOiMhZtlh\nwABbcWO2GIB18dMgydVS3mRZFl+2jXrsGMrhw6hr14qwiZwcrPT0CoRV0ypEEHFxSLqOtnQp+ptv\novwu7MNWVcxOnQSdISFBIJWV6QyahqQogu+7fz+UlGBecgloGsr+/WgzZohxGMIfMurB27Il4Tvu\nEMc8ciTaHEumCQUFQtgRybynrIzQkCGY550n7NDmzUP97jshWIsYzVtNmmBnZmK0bQsejxC1uN3C\n07OwMBqjqezZI/w009MJjhkDLhfK2p9wTJ8e5dQKR4N47Nq1CV13HeG7ewj/4v37xUJfjihrIjHO\n8nggVdyESAE/0okTAlUvLRVq6pOF2KEwoXvuQTlyBOfECYKLXFZWBZHxjZ8ASUm4Rg6tFsMMEBg8\nFCu7Ma7hg6s13gD+kU+CIuN6KbbHq+/F11E2/IJj7mcxt5e9NQ3HzI/Qfl4Te/ubU3F+PAV1Y2wv\nXN8Tz6FuWIf+VXW3AIBw2w4Y3e7ENb7mRq1s+hI8fe+o0Rc43LYD4Rv+ifvF2OllAP5HhqPkHkJf\nOqfGfQJ33IfkjsfxUc3okaXrlL0/B8fcTwnffDuSIiHn56KunIu67dcoMu4f8DTqbz/9Iepb9s4C\n3MMfFA4XZyn/sOeRD+zDuPBiSIxHX/wJ6upl1RprW1HxvrUA9wNnpzCAcEQo/fQrJG8J+teL0OdN\nq9EhAyB4cw/MRi1xT3wy+piZ0RDfM2+grfsax4zJVSYxVnJdfC98hPvBW6u4QdiKQqD/KMzmrXGP\neagahSPQewhmVgs8w/sKvu6QsZjZObhH940i79VeW7e7CN3SA/fzjxG+/HqMLlcj79yG89XnkSSZ\nQP/hGG0uwDX+CdS9FRZ9ZoNMAkPHgaLgGj0YuawEW5IIdbuD8G13o2zdjGPSs0iqSqj7PRjXdIWT\nRbieexI7MZFA/6FYbdohnTmNdGA/pNbFymwIgQCEw8Ij2O9DXbYEdcMGrCY5mK1bCd/vct/ydb+g\nrlyBuncPZp06hAYPwbj0MqTiU0jFp4WDgyz8yKXcXJSNm1DX/Yy8Zw8yEL7kEgIDBiJpmkCHvV4R\nhlFOVdM0ob8oKBBeuDk52KmpKHv2oE+fLtbTcn/dBg2EODknB7N5c8z27cW6BAKoKC5GOnYMedcu\nEUMfSbEzs7IIjB4NSUnC8nLJErGu5+QIy7eEhAoXirg4ACS3Wzg11Kr1pxreQCDAypUrmTNnDqdO\nneK2227jrrvuom7dumd9nm3bFBcXI0kStWrV+sPznKu/vs41v39x2bZNKHR2hfR/XOvfQ/t1HJJd\nItDdP+mhbYcRKK+eRvjyd6HJDdX2qZzypvj96Hl5KGVl2A6HWLSOHInmnCubNyOXlWG0bk1wwADs\nlBTkvDy0uXORi4sxGzcWI7SMjKiq105Pr0pnWLgQbenSqFVNeVmqSui++zBuu00gElu3ChVv3boV\nVjx6xCngzBnx//R0OHUK/bPP0JcsqdLo2YqCXbcuxqWXEuzbV/Djjh0TXLVInCeRtCI5Nxdp506I\ni8O49lqkQEBYEs2ciXxaXDijiuO0NMKdOxPq1Qv5zBkRVfr7rPlAQCz+ublY7dphpaWhffklzinv\niUSi31W4SxeCjw9FKjiB4403UPfsxo4kMtnx8QJVbn0ewQEDkPfsQd2wXsQtx8WBxyPeH0XBzMkR\ntkBHj4poPVmOuEhELMEcOnb9BuIC6fVWjAkif9uShF23nnA7OH0KytskKfoHVnIKkmUiFZ9CKCIr\nfd4i22VsOHWKii4r4mRhCzs1yeVELsgH06z0ZSAZBpaqQk5z9KlvCU506RmBngcCEPQj+f14X/mA\nuL53ItXAYQ306o/k9+KYPb3G343SjxYR9+jdNSLLlsOB781PRQNdwzGEWG6uEOSdZdn1vvkxjrcn\nou7cVvHc5FSCvfpitrsAyVeKvGsjZofLRfRzjUeC0MXXYLa5CNebNdMwQPCSA0OexT1EUDosIPTo\nMIyLLkFdvwbHzHej3GT/I0+irP8F/fs/5jb6x76KunQh2s/fE+x+H+Fbbkf7Yjb64hnVXrfRKIfA\n4xOI6xObsxu8rSfhbt1xvvs86vbfsOMS8U76DPege2ts7M3MxvjHTET96UucM6dgKwr+Ma8jHTyE\na0pVazazQSb+MS+h7NmGa3J19M6WZQIDxmB0uRp8Xjx97ogGS0T3iU/EP3QcVv0M3GMHR1FgACM7\nh+CQJ8HnxTXuMeRIklvggf6E77gX6WguUlFBpElMFb9nmtA/aAvmom7fhtmiJWa79tjxCch7dqNP\n/QC5tATj4ksxLr1cNJduN/L+/egL5yP99BPW1dcQfOhhrIwM5PwTws4vIR6pqAhl4ya0Nd8j//KL\n4DrrOlZGBkbbtoT6PQLx8UhHjwrQwrKQyspQDh5E3rwZ9bffkA4cEDqCjAxhIZaRgbxvH8qOHQK1\nrV27Yj2ubCVZuzZ2gwbIu3bheP11IZKLvofx0Wme0akT4ZjsArIAACAASURBVO7dBQ2suFiAFUSW\nioICwfvdsQN1yxZsn49wnz6YV1whEtfq1PlT4ROWZbFmzRpmz57Nzp07ueGGG+jZsyfZ2dl/+Nxz\n9T+3zjW/f3H9lzS/4RDy4ttRTnyLpBh/ns5AJF3NlDET22J2WwDxaTFfI0TEefn5cPQo6vr1OD79\nVHhDlu/ncglVcGYm4QcfxGzeXCC24bBoIEF4OeblRSkI8p49hP/1L8JXXolUVob2449oc+eKsVZ6\nukAIIg2yVacOVrNmwobH6UQKh6MG7sq2bUIZHGnMjebNCQ4eLPjDR4+iLV2KnZgoxnHlXpXl4rqk\nJOE1mZSEfOIE+ltviUjR39MLNE34+l5zDXJhIfLOnZCSUj0X3raxT58WjXhyMsrWrTgmTkTdX33k\nbjmdBEaNwuzYEWX/fpRffxV8ukhufXlyke10iux6XQcJ1NWrUXbvEqEd+/fD0aPIloXR/gICY8ag\nHDyA46UXq8U3Axjntycw7mnUn37A8cZrMUf0gSGPY3TqhGvMKJSDB6ofIzubwKtv4pj8OtpX1QVZ\nlqri/+Rz1OVLcMz4uNp2AN/LryMfP4bztZdjbg/+6x6Mzl1wDx0QaQSEjy+qiq0oWPXq43v2JVxv\nviy4z/HxEJ+AHZ+IlRCP7YnDPL8DUtEJJFnGlhAX8EjzjGkITl/z1qg/fYd87Ahy7kGUPNGESKcK\nkQyDwJ29QHPgnFGzH6/3lWk4PnwNdWd1PnN0n4nv4/jkfdTNv9W4T7jTpRhXdcU1flSN+wCUfrQA\nyTJBBvnEUbRls1A3r6uGqpZNWYKn7+1/aEFWNnUJ7kH3VfNrBgh1uYJQ38HI+bloS2cQemAEnn5n\nF5UBhK/uRvjCy3E/XdXRItDrEYyrrkOfPw3t68WR6YyLsjfm4Hm4exUK0e/LUlX8499Gkiys1Hq4\nxg2OGY1duWwg1LMv4atvxLZtHFMno39fs4gw1PV2Qnfdj+Ot59AiwsZwp8sI9hmKNm8WjvmfYTRr\nSWDIaKSS07ieerxabLdVtx7+Ec+CqgrKg1fceJmZjQg8PhazVTsR+1tyBvWXtWjffoVdcobw/X2x\nGmejbFiP481JSIEAZpt2hO7qiZWZhXSyEMebr6Ls24vZsjXhW2/HatIU2+lC/u1XlP37MDtfjNm8\npbgpPXNG3Pi6XMj796F9/Q3qV6uE80JSEmbTHMwOHQQCe14bQTuLULvUX39F/2iaSJ8sp6wlJIgJ\nWk4O4a43YnbsiHz0KLZlISlKBc92+3bULVsE9zcQwKpVi+CwYZitWom0zaVLBUWiSRPRsFea6KGq\nYsqVkoJUXIxj0iTUVauq2qJFeL9m06YEH38cq3lzJNtGrlfvTyG8tm2zZcsWZs6cydq1a7n44ovp\n2bMn7du3/x8TOnWu/u/qXPP7N6j/T16/R9ehruiBHDoGOkjan3uabSFEa7YDo0lv7GvfiL1fuVgt\nGITDh5EOHEBZswbp5EnhzpCSUuWOPopk1q4Npok+e7YY6ZeWVj2uy4Vx0UWiMY2LE82xZUV5Zbam\nVTTIu3dDSQnGNdeAx4N85IjImV+/XpCQExOFCCMrC7NZM4zrrsNOTkbOyxNNIwjRVm5u1IJH3roV\nTFNEf95wA3i9qGvXoi1bJtKFGjcWY7Ry+5zERKz0dOGvGxeHdPQo2pIlqJs3i2a7EvJjtG0r/Ifj\n41F27UJduRI7MxMzO7sKIm05nSL0QlUhLg5l7Vr0efNQtm0TKXaV3q/grbcSuu8+5OJi9E8+FoK9\n2rWxk1PEyC8zEzO9AcYNN4gLT/4JJMqjlFVQFSFsKz4FZV7Miy5CPn0ax4vjUXbthuJTVc5nnNeG\nwPPj0WbNRP+8OjoH4B/1JHbjxriGDhGm/L8rMysL/+tv4xw7EnVbDHEb4J8+A3XFMhyzYlMhAr0e\nxD6vDc4Rg2O+BiupFt5pM/A81BO5ODbq53vyWeT84zinvhtzuyXLeGcvxT3gISRvGVbTZpjZTbEa\nNxF0ndrJWJoKCUnIx44g+b1IxSdR9u1E2bNDPHaqCCszi8AjI/CMeiTmeUCI3EJ9h+F+ouZ9LMD3\n8VI8D/yzWqBK5Qpd0xWzw8W4XhAWYFat2gQf7I/Ztj1S6Wm0n75C+3oxwTsfQjqRj2PR5zUeCyDw\nyEikvGM45n561v3M+hl435+NdCIPx7zpaN8uq5HCYNVOxTdxGnH33lzj9xrsPwKzYyf0z94lfONd\nON5/E3XXlrO+BhCUKO97c6C0DMnpwDV+KPKx3LM+x0xrgP+lD5CO5mInJuJ+emg1r+Eq53A4CQx7\nGrNhNnYwgFJUhPPJx6rRPIx2HQj0H4589BDO8aOqieyMJs3xT5oi4o59XpTjeTimf4C6ZSNW/XQC\nfQdiNslB+3ol+tT3kBETFaPLpYTuvg+rVjL6vNlocz8X9mmNsgj26IVx8WVgmGCEBcXK5xNTp4gG\nArcHqVAkoakrvxBTkoYNMTp0xLywE1ZyClaDBqCo2E4HUiiMNn8ejrlzkfLzRfRvdhPMdu2wmmRj\ne+KEK0ydumLKlJiIsm8fjgkTUDdsqHjfnE7R1DZqhHHRRRh33CFS4iLxypimmNQdOSJ0GFu2IO/Y\nAU4nwcceE830sWNoM2YIPUdODmbTpmL9LOf9ulzC9SEYxM7KQmrUSFDg/kQdPHiQ2bNns2rVKpo1\na0bPnj258sorz0UM//+wzjW/f4P6016/Xw1H2/sBkhQQ6O6fcWcgQmcIgaXVwbhySkw6A1RqeE+d\ngiNHsAMBUFXkw4fFKGv7dnEnv2+fEJa0b0+wf3/sxERxNz9vnvDTbdpUNJCpqQKxdDqx09LEWN3j\ngVAI/dNP0RcsQD5eVTxkyTKh3r0J3367GLHt3CkQ0MTEquMz04T8fGHH07gxUlER2pdfos+bV0E9\nAEhIwKpfH6N9e0J9+gibstxc0XjKIkSCYDDKzVW3bcPyegk/+ih2nToCNZ45E3XdOoiPFwt7ZqZA\no7OyMNq0wU5IEDY8cXFCMHLwIPKePaLh3rwZubBQuE7070/40kuRi4qEZdBPPwlBSERFbTdqhJWS\ngpmdDYmJgvLgdCIVFCAfz0M+cBB57x7hZ3zwIFbTpgSfegokGW32LGGx9rvPkUC9ehLu0QNlyxbU\nr74USum6aRGHigRsXcNOTcWumwYni4RNmyyLr1AIqbQEqbgYu7QU4/quaL/9gv7vj5BP5EPBiSoX\n/OCdd2F0uwV3/74xG2NL1/F9Pg/H65PQfojthxl4+FHsxo1xjh4Wu/F1u/F9Og9X/wdQ8mOLzwL3\nP4xdvwGuF56KuR2g7OM5OF95AXVzdecKECijd9ZiPP16IxcKpbmVWgfj/A6YbdphNmmKlZAIKanI\nBceRigpQ9u9C2fwbyoHdVVDU0mmLiPudyO335Xv+LbQlc9DWxhZeRb/3dz/H0/ufMV0xLCB88+2E\nu/fArpOG+s1yHAs+RT4WGx21UuriH/sankd71HjO8vK+/RmOt15G3rqRUJ9BGFdchbJ7K47pbyKf\nqhAq2pKEb/JsXE/0Ry4qOMsRI2LHGcuwdRfauu9xvPHsH7o0+F6djv7v99F+/gErpQ6BYeOwUuvg\nfn4o8vHqTbDRvA2BUS/ifvAu5LISrLr1CAx/Cjs+AddTg5FPVhdZ2kDorgcI/+MWOHkSyenE9cwI\n5OPVA10Awl0uJ9hnEMqOzTheeRYpIZFA70cxz++IvH0b2pL5hHr3xapTF8fUd9C//ariXIpC+IZu\nhG7pDpaFc8LTqAcjCZQOB4FBwwl3ux28ZcJ6cfs21J07UNb+hNW8BUbni7GSaiH5ytDnzhXNrmVh\np2cQvvQyjM5dsGrVwk5OEQ4LbjfS4cNoW7agfbEcdJ3wBR2wWrfGTqol3GM0HSn/ONLGTdiZGVit\nWiOfOYP63bdoX38trM1atMRs2VL49bpdImWxfKKWmIhUViZoWYsWVbVFS0rCTk/HaNZMCNEcDuTc\nXGEjGZnwSGVlwm+9XBi3ezfmVVcR7tkTq3lzyMoS16Y/QWsoLCxk/vz5LFq0iNq1a9OjRw9uvPFG\nXC7XHz73XP3vrXPN79+gavT6LclHWXwLSslWUC0kx58/ZpTOULsT5q1LwBlXfZ/yZtc0sY8fF3GQ\nGzagffwxys6IrY4kYZc3aM2aEb73Xqy6dYVYrLx5NE3he3vgQLRBlvLyCPfpg1HuzvDjj2gLFoCu\nizjJZs2E/2JqqoinbNxY8Erj4qCkBO2bb1DXrxfNY6UG2WzYkMDgweKOPz9fOCkkJ2NlZ4tFtZJt\nDpomEOXkZKS8PBxv/B/23js6qnpt//7sNjWFBAik0CH0qhQVRbFjPypHEOuxgIoN0WMDxV4Qe2+I\nIKAgICqKFBu9hR56EhICIQQCybRd3j/umUliEg+/tc57js/zcK/FMsKenT17ZvZc+/pe5TWMhQtr\n6S2dxETCf/874SFDxCwW0+XGpAyGAaaJuncvyrZtkJyM1a8fSow1/uKLeAJC3FyXmSmh8NdeK932\n+/bJcdk2iqpWdd1HI3hsv5/wPfeAYaCvWoXr00/jkgXH7xfJR3o6Vteu0jFfUYFaVASahqNroEcN\nJ4cPoxYWouzehdW7D3azZrjmzMI1cWKdbKLZowehx8ag5OXheeG5eJwQRG8evF6sli0JPP8CanEx\nxpzZwjw3aoSTkioZwC4Xtj8BO7udnKNwOMo8q5JiARCoxA4GsLv3wvhlEVrOGtQD+wXYFxXCoVJU\nIHinNPd5nni4buDrclE5dTbe+4aj5dcN6MLnDSJywUX4Rt1Zrx62YvzbGIt+xDW3dvJFbI5Nnonn\n2SfQN9XPRh77+As8776GvmIZtqpi9+oj+ssu3XD8PpRwCDsxGcXlwvPG82ib1qGWldbaj9m2A6Gb\nR+L/5531/i6Aig+/wjPuoXpTKyDKIE/5Ft9dN2M3bkLo9pE4qSmo+wpwzZmClrMq/hk49v4sfKNv\n+5cgNTh8FEpFAPfHb9c87vadCD7wOIpj4vrqU/QlCwje+Qjqrl24Z039030ChK4chtm5F77H7sc8\nfSDh62+FwDG8zz5YK93BURQCL36APusrXAvn1fg3SVZ4HLtRI3zjqljdyBnnERo2At9NV6H+4Rpr\nZTQjNHoMjtsjIDiqG7YbpBB46g20nLV43hRdsN00g+B9D+OkZ+B+7vFakXEQBcw3jSA07BYIhfA8\n/TiunxfU3MbnJ3T9LVj9B6Buz8X9wpM1ZB520wwCjz6F1bEzjm2j5ueh56zDmPcdamEBkXPOxzz7\nXOyUVNT8Pbjfewd9x3Z5bFoTIuddgHlqf6yUFLmGKXJ91g6Voq1Zg75iGWaPnljduguh4POhhELo\nq1ehz5uHtmUL1qmnErrlNiE18vNRSkqEJfb7cDxeAafRiEd95QqcI0cI33svTsNGaLt3Y0yZgmLb\nWO3bS9ZwenqNVS8SE+OZ7sa0abjffx+1muE5DpCbNSN8zTVErrkGIhHURo1QPJ7jkiUcO3aMuXPn\nMmPGDCKRCFdffTVXXXXVCTPaiYnPCfD7F5ga4HfjFIzfR6HYZSJn0I9vH46FyBnwEek6CvrX3YoU\nB7yBAOzZg7J7N9pvvwmAqZ59G4uUqawUQJmeDqWluCZPFrNYtSxdR1Gk6KFfP0J33SXsREGBgOOY\nWUzTBPDt3Im2aZOYEwYPhuTkKnZ1xQoBc02bSlxZlEE2+/aVXMv9+8VdHA4L0I6y0dq6dZIHDESu\nvFL2a1loGzbgmjsXOyUFq337KoAczbZ00tPlCURNHe5PPkFfvLhWlJedlETovvsw+/WTnMz16yXG\nJzm5KifYMKRIorRUgGGTJqjbt+P+8EP0pUtrAO5Ya1L40kuJDBuGUlZW1TIXA+66Lhf8fftQdu7E\niSZVaHv24PrkE7TVq2u78KOsefiaa1D37pUijfT0mjcFMYlKYgJOYpKYCqdORd+4AW3bNthbVTlq\nJyQQeO11UBQ8455Ay6sNNm0g+MJLOBnpeMY+jrZ7d+1tVJXAa2+Ax4PnjdflBqFRI5xGjeVcpTbE\nTkrC6tsXbfs2SfWI6nqJ/lEAJypN0FYvR1+9AnVvvnw5FxbE9dmRrt0J3fsQ/tuG1bskH7jnQYiE\n8b79ap3/DlAx4R2M+fNwfVc7+zW+zbPj0VevxD2jfpAXHngekUv+hmfC80TOuxCzdz+cBL/Uxh47\ngrZxHcbqpVQ+8jwJw4dIWUk9E7h+OIpu4PnwjXq3Aah49UNc06dg/Lqwxt/bqQ0JDb8Hq3NXlMOl\nEAqhbd+K5+M/31+kU3ciN43Ed2/dzVYQzb4e+SBmv9NwvD58j45E37qx3u0BIv0HErrmHyTcdm2N\nvzfbZBMeORqnQQPcLz+GvjMXBwSQ/vYz7jlf1X8caU2FCU5NRVu3DLtDd/x31Z/LDFEd7gNjQQHt\nt58wL70G36g76pRS2A1SCN39IFb7jrjffBFjxRLZR7MWhEaNwdENvKPvxW7RkvA/hmM3aoTr43dx\nLaxpDnQAs3c/wjfdDv4E1MU/YZ02AEXRULdtxTX1c+zUhkSuvgY7Mwvl4EHcb72OvnVz/PFW+w5E\nrvw7VnZ7HJdL9L6ZzSQmr+ww+m+/QDCEdeqp2A0bSR37wYPoP83H+O7buGTLatGC4GNjsdq3R91b\nEL9mK8cqUHO3Yvz+O9qSJfHtHUUhctllhEbcIe/j6LUrJl0DZCVtwwb0NWtQcnOJ3HKLtF8ePIjr\nq69Qc3NlBa1jRymgiF1L3W5ISoJQCNLSoHVrlOOMJotEIixYsIBp06ZRVFQUrxjOysr6l489Mf/3\n5gT4/W9PJIw1+xqUgrkoakTKJo7XrBYGImB7W2EOmgZNutW9XQzwHjyIk58vdZQVFehr16KuXy+6\nq02b4gDC7NtXsm+jmlx99mzJqe3QQbSQPh94vdhRja+jqmIWKy7G9dZb6N99V2vp0tY0wrfeSuSK\nK0QasGdPVfJAtWQG5dAhaSHy+7G6dUMpK8NYtgxj+nTUElmedHRdosYyM7G6dSN8/fWgKKiFhXIR\ndhypGC4pqVGkgWURvPtuMV0cPIgxdy7Gzz8L8xw1cdjt2uE0aCCgsWlTyR5OSkItKEBfvBhtwwYB\n26VV7J3Zq5ekWSQmou7ciTF/vsSgtWlT5XZ2ubBdLkhMlOebkoK+cSPu8eNR16yppSW0PR4xiJx2\nGkphoQDZrKx45Fl1rTXhsJhGUlPR58/H8+KLNY4vvs/0dALjxkFSEvqPP2B8/728rk2aYLdqJTc/\njRpjZ6RjZzVDKTkgANKyIBhCPVgi5SS7dqLu2k24R3fsSy7F/foEjMWL63zvhc88i/C99+N+/VWM\nhQvq3CbS/3RCox/C8/ST6KvqbmcLn3c+4RF34X7mKRTbwk5rgpOZKdWoDRvheDxYbdqIXvzIkTjz\nrByrQDm4H60gDzVvN1ZGFnb7jvgfuqfO3wMQvPsBWX5+85X6t7ntLlk2H/9svduYnboQfOBR/LcM\nq1uioOtYpw0g8NDjKBXHUALHUI4dRcvdhPHbItTtm+NmRLtpJpVjX8J/+9A/L7247laUpBQ8r7/4\nJ1tBuP+ZhG+7GwUHggG09atwzZ4qqRrVj9HjofL9r/DfeFW9MXDxfZ4ziMi5F+N9cRyhm27H6twN\npWAX3teeqRUfZrbvRPDh5/ANvazeuDQ7tSGhkaMxszuihCrRF87HM+XjPz0GiDLfH32FEgri+BNw\nTfkI1w91twLGxnF7qHzrM2lCM01c70zAWFY77zq+vddHcMS9mKcNkOzpY8fwjb4H9VDNz53j8xO+\n/mbM/gNQCvfieW4salT6YjdrRuChJ6WKOD8PJ6s5Dg6uiR+jL6hp8LJatCQ89Drsjp1xANfnn6Hs\n2UX4luHYzZqjHjqEtnYtdru22I3TcLw+1G25uL/6Cm3Nqlh4Ck5GpqTPXH8jTloTOHYUGqSIwe7d\n91BXr6ySKCQmYrVpg9mzF1aXrlh9ekd3Ykuj3OLFuBYsQFuxIi41A2l1s9q0ITR6NFa03hjbriIJ\nNA2ltBRt2za5nq5ejZ2WRmT4cOwePXBat5Zr7nFIGhzHYdmyZUyfPp1169Zx9tlnM2zYMDp16vQv\nH/ufnOeee46ZM2eybds23G43/fr147nnnqNz587xbW688UY++6ymObhfv34sWbLkP324/yfmBPj9\nb82MqyB/BhjA8WbvOkAQHNvAyroY+8KJYNRfJWxbFk5+viQCrFolcoZdu6oCwDMysFq3xurcGfPS\nSyWpoLhYsiEtC+XQoTqNCeGYnOHoUSmbmDcPJyVF9tWhg5Q4+HxiFsvMFCYvVgzx5Zdoy5bVqMcE\nAWahe+/F6twZZd8+9BUrJPUgZhSLMayqCuXlwmY2aoSal4frgw8wfvmlBsBwdF1ixs45h9DNN0uV\n5759cRY6lkupRIs0tI0bsVWVyNCh4HKhbdsmWcFbtwrQjLLRVvv2WG3aCCj1eKSNyO8XGUJeXnxf\n2rp1ovVVVcI33IB58cVQUYHx88/oCxfiNGpUBbajHfdOYiJ2ZiaKZYkZcMsWjFmz5Nzn5ta4oTA7\ndyY0erRUiebkYHz3ncQDtW0rTXgxkO3x4GRkSHyS14u2dCn6b7+K3GLr1rhLPa4NvuoqtNxtuF+d\nUENu4vh8OI0aYzVtQmjUA5CchJq7rUpa4qqKg4vpqO30DBRFwf36BNTcraIVrya9sFWVwHsfoh4s\nwTP2sTpTJ2wg8OY7qOXleMY8WmfOMEDFS6+gWCbexx6Ovw/i7/NGjbEbpxG8937UYBDl0CG5gYvd\ndBmS0MHBEonZy8yUMo8DdTe9hQeei3nR5Xj/RFZhN0mn8rV38d9wTb3FHAAVL7+JvnwJ7ulT4s/X\n7tWb8MWXYXfoCGYYKo5hd+yK+9O3MWZOrZUsEBszuxOhkQ/hu+OGPwXIZqs2BMe+gP/mIfFzbvY7\nldBNt8v7ae8ejK8no21cR+WHM3E/+RD6ru1/skfJQQ7dfi/+4ddXldkAVreehG64FSc9A33ht7gm\nfwCNm1D56qf4hlxSK1Hlj2OrKpUTZ6Jt2oid3R7KD+N98QnU4rrNarbPR+UHX+J+9QWM33/B8XgI\nD70R86xzUIoK8Dw/BrWipgnX7NyD4KPP4H7yUYz163ASEgndfDtWv9NQt23G/fJTtRIo7AapVI5/\nGy0/H3V9DuYFF+FoGp43X0FfVXf1tdm1O6Fb7sDK7gC6jr58KZ6330AtyKu23wZE/jZYDG0+H9q3\nc3BN+Sz+2Y/0H0BoxF0iZ6iowElJQS05gDHra/Tvv61KZVBV7A4diZx7PlbnLtipqVJy4fWglJXh\n+vEHiZzcv19SHzp1wurbT8xlCYk4Xo/o/UMhuRHetw/X/B9xzZoFR4/ipKZK82bXrqL7TUnFTkyU\n5k3HESNvVL6lrVpV4/w5qorTpAmRM88k9MADOH4/EV3HTkxEVVUURUFVVZYsWYKu62RmZpKZmYnb\nXaX727JlC9OmTWPx4sWcfPLJXHfddfTr1+8vm9RwwQUXMGTIEHr37o1t24wZM4alS5eyefPmuBTj\npptuoqioiEmTJsUf53K5aNCgwX/rsP9Xzwnw+9+a99qCUr9uLzaOicgZtBQip42HLnUbU/5YJazs\n2oW6YYOAx+o1vi6XuIOLi7HT0nDS01Hy8nB9841U+Qbki7q6MSFy+umEr79e0gT27Yu3sMUrMfPy\nxJSwfj2Oy0X4rrtwUlMl03faNPRly4QBzcjAatdOqoqjPzsNGghT16ABalER2qpVsq+cHNRohqQD\nmGefTfjmm8XkkJsrSQrNmsm+qgFk2zAgKUkAWXIy2rZtuCdMQF26tDa7GjOhDRqEcvCgRPYkJNSq\n21QOHJCiidRUzC5dUA8dwli8GNfXX1cVVERb66zMTKyePQkPE7ZPKSyUY7FtFBCwvXOnAOT168Fx\nCNx/P06bNuJynjYNfenSqvMVy0KO/uw0aSItTklJKPv3Swj9li1S37l+PWplpWS0xjKQy8pwTZ8u\ngDslRUB8y5YCkrOy5OdmWSgHSsDtFs3zwYOo+XmouWLaU3O3QmIigRdeAJ8f16efov/4Q50Ay+zQ\ngdDTT6Ps34/7g/exvT6cFs2xmzUX7Z/Pj+N2YbVrhxIMgRmROuqyMtSiItRdO1B370LbloudkEDw\n1TdxvzoeY9HCOn6bJB1UfPwp7o8/wjW3bomCretUTpyMsXgh7g/eq/vzYxhUPv8yiqqirViGnd1e\nbko83qrlXNOEo0ewO3fFd/dtqJvW18la2j4flZ/NwPePoXVGh8WmctwLEkn3cd3HBNFEiilf4/nw\nHewGqVj9TsVOTZHoql3bcH83C3X1MvB4qPjoKxJuqr/lDgS0VbzzGQk3XVOvxMJukk5wxEjMvqeh\nBENo61bg+eitGpm11cdq2ZrA2Jfw/2NIvSkVjq6LqWvoDdipjXB/+BbGzCl/WpJhezxUfjIDzzNj\n0ddKPJzZqg3h2+7CbtUK/dcFuD5+Kw74rBatCDz/Ft77RtSpBze79iB82504qam43n0FffnvhEY+\niNWhG97hN9YC4g5g9j2V8I23QkKCmP3WrCA47mWcxk3wjH0UbW9+1fGmphK+4Rask3pDWSne559C\n3VcYfy7Bsc/iZDXHmC4ymcgFg3BSUtHWrsH93pu1Ukscr5fIeYMI3TJcrkl+P/qiBXhefL7Gyo7d\nNJ3I2edgntofJ6WBNEsu+Alt+VIi/7gVu1kL0et/PQMsG7N/fynJSEiQfPY9e9AXLkRfuADcHkL3\n3CurbgcOYPwwD6dJE6z2HaREwivSBOVIOfqmjShr1mL26YPdpw/qgQNyrfn9d3lMq1ZYnTvLClhS\nktyIp6RIhrimEWnRgkhSUr2v/1lnnUVubm78/1NSUvB4PASDQVJTU7njjjsYOXIkhnGcUUd/oamo\nqCA5OZnZs2dz0UUXAcL8lpaW8s03f75KcWL+PXMC5QCtjQAAIABJREFU/P63Zt96mNUd6khYcUKA\nqWIldce6fDYkpNW5ixjgtYqL4eBBHJdL2MLvvxej2B+KISL9+xO+/XZhAHftQlu2DLt1a+zmzWsA\nZEfXJQg9JQUSE9FycnCNH4++eXMNwCMlBQ0J33IL5kUXoZSUSOpBLLYsql2NmeHULVuwmjbFPvNM\nlGAQbc0aXFOmCCMb1Q3bmZmi8+3UCfOCC8CyUGOtacEgSnFx3FinrVuHkpcHPh/hESMw+/dHKS9H\nX7BA5AyNG2O3by/ZvmlpcvFNThY5g+OIBm77dlxffCFpDoWFNdnoJk0I3ncfVpcuAsxXr8bJyhK9\naiyXMtZHX1YmgLVxYzH7fPgh+u+/19Cdxtho88wzCd56q7DRsVi2aFScomkCPnftkspQVSU8eDCK\nrqOtX4974kTUwsIaSRZ28+ZiRrzySgGwRUVxsBZLxdCiwfPahg0QChF85BHs1q3RNm3C/d57UnRB\ntOyjcWPsKEiO3HADdpMmaLt2CXusaWJ4URSJScvPR83NFXBz9WD0LZtxv/RiDQNL/HwC4Tvvwjzn\nXIyvvsQ1ZbJkIhuGyDYap2FnZmB26kJkyBC07dtwAgEJ+jd0MfUpyIpEYQGOYWCedjq+229G31U7\nixjAbN2G4IQ38Ix5pM7aZ4hlEk9F/3YO7s/rziQGCA6/E6tvP1xTp2B17YrdvKUw4l4PuNwox47C\nru1YZ5+H994RGJvr17wGHnwMpTKA543x9W5jqyqVU2fjeXos+ro1Nf7N0TTsdu2JDDwHs2t37OwO\nKEcOY/y6ANfsL+vWq7pcVEyahX9EVXpFfVPx8ptoa9finvQxVo9ehP82WAATNq6ZU9F/mCPlBg0b\nUfH6JyT8Y6g8/z+ZSPeTCD3wKL5RI8WYdfpZ4PWgz5qKMfurmp+9pAZUvj8Fz4P3oO+szTo7qop5\n3kWErxwMHjfqksXYp56F785/1JkyUuOxCYkExjyD1aU7VFbgu284Wn7+nz8mOZmKNz+SNrXKCjwP\n3Y++Y1u925tt2hK5ZQRmdnvw+lHKDuF5+Tn01TUznh1Vxezdl8jga7AzslAOluB+61XUo8cIPPw4\nToMU9OXLcE38BCc9g/BFF2O17ygNlYV7cX8xBXXFsvi5M9u0IfTw4zgNG4oW1+8XsFpRgbbkd1xz\n54rBtPrvP/U0go+PAUA5WCq+CstCKSqUFcOff66h5bcTEgg+/jhWj56oe/agVFTEwW28nn7vXkmX\nWbMG5eBBQjffTKRvXyItWxI5TiazY8eOHDlSfzrKzJkzueKKK45rX3+12bdvH5mZmfz222+ceuqp\ngDC/s2bNirO9AwYM4JlnnqFx48b/5aP93zknwO9/c15VwAfYks7g4CXS4TY464U6N4+BXScSwcnL\nE7Pa0qW4Jk9G2btXlnhjxRAdOogMoXdvabsKBETDG430UjdtEoCcm4vqONg+H+Hbb5d+96NH0X/9\nFX3FiirmMab1jVYTO8nJsuSdmIi+bBnut99GXbeuNrvaqBHBhx/G7tIFpagIdc+eaDSOr6bWt6wM\nCgqgeXPsjAzJ9J01C/2nnyR6i+hyWVqaRJcNGFCVzrB/v1x0QRIPopXH2saN6Dk5WF6vuJGbNBF2\ndepU9JUr4/uys7PFENe4MXaLFhKufvRo3O2sL12KGt2XWq0/3uzbl+CIEeD1itb3hx+kZjOaYlEj\nuD3KsjgpKWg7duB56SUx+P3xfGka4ZtvJnL11XLTsHu3sNHVtNFK9Hwpu3eD34/ZrRtKSQmu77/H\nNWdOnL0HiUpymjbF7NiR0H33gcsl2cqqKoA7dv4PH5ZIu82bIRgkPGQIquNgzJmDMXNmLUbP0TSs\ntm0JPvmkLHFu2CDMe6zwIyYnUFScsjJI8GO3aYNr5kxcE15Bjb6mNZ57QgKBCa+CpuN+9mn0HTtq\nfwZ0XZZLRz+IvnQZyqFSuXlLSqoyDBoG6BqOy43dtCnu999BX7USdcvmWpIBs01bgq+8jufh0eib\nN9X5ubOBwPsfo23Lxf3yC3Uy3g5g9ulHcOw4XHNmyU1lSir4fAI+KitQt25GX7mUSI+TUPwJeJ99\nos7fB1G2eupsPE88ir6+btAOYsas/GwankcfRNu1E7PXyZjnnIed1QwnMRHl8CGMn75H+3EulR9/\niXfMg+jbtta7P4CKV99H//0X3FNr5/7aDRoQGXQp5ulnYjVqiJORhf++4ehr6tZqxyZ89vmE/349\n/hE3xz/PENXEXnoF5jnng9+P9v0sjF8XEXjlXbx33lJvlF31qXzmZZymGaAqOIB74ocYP9etLwcI\nPPY0TqM0vA/eh5WZSeS6m7DaZqOUluCZ8AJaXk3TptW8BYEXXkf/ZRHut17Hbt6C8HU3YrfvCOEQ\n7nffrCV1sJukU/n8eNTyoxhfTcO8YBB2s+ZgmRhTp6B/P7f2tRIIPfBPzHPOj0tztDWrcU2ZhF6N\nAYUo8dC6NZELL8Y8/XTsTGnGVCoq8P7zoVraebtRI6yevTBPPwM7KxO7cXRF0O9H3b8f9xNjpbEt\ntn9VjZpsO2OefBJ269ZYXbrKdTEpEXWPeEH0ZVUVyPFjc7mwevWS63779kKmNGok312x77DYSmU9\nptTKykratm1b72sIsHz5cvr06fOn2/xVZ/DgwezcuZNVq1bFpRrTpk3D7/fTqlUrdu/ezWOPPYZl\nWaxevRqX6zi1kSfmuOcE+P1vzie9IFACgyYTyTylzguB4zjxC0X8/4uKxBhWViZZsOXlwsBt3oxa\nWEj46qux27RBLSnBmD07DiAdEHYyK0uMDGeeiXnWWSjFxXL37vFIre+hQ3HmUVu3TjJlO3UidPfd\nwmwWFWFMn46WmytL/dWkDI7Ph52ZKVW6AF4v2urVGHPnoq1Zg5KfX7NUoU8fQnfcIUzGzp1o69bJ\nkvwftL6KquIEApJHm5CAtm4drtdfR49GssXPl6piN21K+O9/x7zySpSDB1FKZEk/7mKOdtBrO3ei\nbNyIk5yMecUV8YQI9+TJqPn5woJWS56w2rfHHDBApCMlJaJjjjYa1dD6FheL1nfYMMzLLkMJBNCX\nLkWfN09yfaNa33gOstcr1ctRrZxSUID7s8/QlyypAbZBltRDd92FecYZqAcOoC1bJkxttTihOAA8\nelRAd3o6akEBrvHjMZYvr50SoSiYAwYQHDUKxbJQc3PB643HEcWNKqGQVD5rGnbXrqh79kiO5/q6\no8DMbt0IPvooSiSCMeMrcJDA/GbNsH1+8LhxDFe8TISEBLQlSzAWLkDdvEk0wtU+E3azZlS+MgF1\nx068zz5dq0AlNuHzLyB8x50YM2egr14t0o7sbJFe+Kuek920Kfj8aCuXo63PQd+4AXX9OtRqNw92\n48ZUfjgR9/gXMH6pO5cYIDjiLuyTe+O9+8465QR2gwaYbdoSev5lcdRbVvz1UvYVoa1chuv3xaj5\n+dEs5Fl4Hq0fkMfPx+vv4b3jVrSiejSw6RlEzj6X0C3DhQ3WDdSd23DNmYG6ekUtAHbs7U9w/TgP\n14xp9f5eALNjZwLjnscz4SXMMwditWkb/awvwz3p4xrGr+A112H16Y/v3hH1JnCAxAQGHh6L1fMk\nlFAIdUMOng/ql1vYXi+BD6egz5oRB+p2SgqRq4dg9jsVvF70r6djzJwmLHV6JpWvvotr0qe4Zs2o\ntT+rVWvCN/wDu102HD6M+42XCd15HwoKnsf/WfdqRloTwkOGYfU6CTQd7btviFx4EdqhQ3ieexp1\n3x8+vykpRC65XKqIGySjbt2Ka/oXhIbfiZPUAGPO17hmfCV5vJqG1bkLkYsuxmrbTq6RRUW4vpyG\numY14ftHY/XoibZjO8b776EePox1cm8BuBkZOD4/mCb6yuXo38xBrawkOPoh7OYt0LZvx5j4KYqq\nYZ7UC7t7d+yU1KqM3337UFatxGnVCrtrV7R9xRhTJqP//ns8GcjKbo/dravcfPr8IqtKSBCypU0b\nlMzM425bM02TdevWsXbtWkzTpFWrVrz//vscOHCA4uJi9u/fX6sIau/evWRmZv7L/f/V5v7772f6\n9On89ttvtGzZst7t9u3bR4sWLZg2bdr/WIb7rzwnwO9fZGJFFzGwG/tTfeq7kFTfzq6ogCNHJIqs\nvFyY0fJylMOHUfbskfzdSy8Fj0fkDJMmoW7bVnXHH5UfWJmZRG66SfJs9+6FioqqJS1Ng9JSKb6I\n6nOtU07BHDwYTFP2O3my6F1j7GpUfmA3bYrVo4csx4dCwkbv2CGgcdMm9HXr4oDP1nXCw4ZhXXIJ\nBINoy5ejL1smQLSalAGPR/IjY1rfxET0FStwT5iAtrl2Hqft9xMcPRqrf3/U4mKUgoKaJRoxrW9J\nCerOndhpaVgdOqCVlqLPn49r9myUYwJwYlIGKysLq3t30UY7joDEalpf9u8XgLxhA1pODoRChO65\nR87FwYPCci9aJOkL0Uxlu21byfdNTRUH9NGjca2v/uuvkrOZkyPVxrHn1qwZgVGjsJs1QysowPj6\nazEjxlrrqtc6JySAxyOFGiUlAmQXLKhd1QqYF19M+JZbUCor0RcsAMPAbt1azlt1hltVhW1Oa4xa\nsBfP00/VmWYBELriCsLXXY9WUIDrrTdRjx2T90ebNhJ/lJkJHi9Ws2Yofj8ODurBUtQ9sRKRzWjr\nN8S1kmbXbgSfegr9999xv1p3bbP83r8RueFGXJM+w/j+O5HaNG8hsUutWmMnJYLHg9W8uWjMi4rk\nd21cj7Z2Ncru3VXnW1UJfPo52soVuN94tV6jmdWiBYHX3sY94WWMxYuqPruqipMVY9h6Y3XrhpPS\nEKXyGMqRw2jr16H/shh1zaoa5zDS8yRC/3wc/y03/GlxhpmdTfCFCXhH3YO2c4fIJdp3IDLwHKzO\nXYQxVxT0lUsJ9zkFz7QpuL6pP/tYzt/VRC66DP9dt6FUazh0DAOzTz8iF18mr52uQ6ASpawM34P3\n/qkJD6DyiWfA7cX7yINgWSK3uPJq7BYtAQdj5jSMubNQgUjPkwn9cyzeB+9F21W3d8Lx+YlcejmR\ns8/Dat4Cx+cn4aZhaDty69y++gQefBTrlNOkRU5T0RbOxzVlUo1Gx+pjN02ncsKb0mSmKFLycOgQ\nrmlT0H5eVOf73+zdl8DYp1D3FePoKo7Ph1pYiOvrmXU+xgFCt95OZOh1KHsLwONFcWzUbdvQf/ge\n7ddfa6XsWE2bEnhpPE6TpiKx8nqjUrQytFWr0X9eLE2Vseeh6+KDOP8C1MK94oOIa/XF2KocOCCS\nhuXLUXfsJDL4asxBg3DatkNp0eK4TWeO47B27VqmTp3KihUrOOOMMxg2bBjdu3evtY9IJEJxcTGF\nhYXxP3fccQe6fpxZoH+Rue+++5g+fTqLFi0iOzv7X27funVrRowYwejRo/8DR/d/a06A37/IrFu3\njl27dpGZmUlWVhbJycnHFfVyvBN7mW3bhqNHhTWrqIgzxzGA7Bw5gtWnD4qioM+ciXvKlLipK74v\nVZVO9QcewG7XTjJ9KyoESMUa2FRVAN+2bSg7d2KefDJOt24ohw5hzJuH8e23wjZH2dUY4LN69iQy\ncKCwLMeOSY3lsWMo+/ZVRePEWtMaN44nRKglJbIMl5ODFQXbdrt2whR7PAIgGzYUo57fj7puHe6p\nU9FWroyXScTGzswUE1p2tsSMrVkj7EZM6xvNQVYA59Ah2W9amuiHP/kE/bffamt909MlYmjECCnM\nKCwUcBDT+iqKnK/t20Xre+QIkRtvxGncGC0/H+Pzz9HWrInnINsZGQJos7OlZa5FC9H4eTySD5yX\nF89U1nNyoEDye80+fQiOHCmJFhs34vriCykeadlSzlmLFsLEejzYzZuLPMLrhSNHML7+GmPlStQN\nG2qAAFvXCQ8fjnnOOSj79+OaMgWlokLkJG3b4jRtKgy32y1guUGyaGSPHME1ZTLamjW19Ok2EL77\nbsyzBqKtW4f79ddQy8pkZSFdotjs9tnYrVpjnnSSPO/DZWIytB2RvuzaGdU5r0fJy8PudRLBMWPQ\nFy7C/dYbdcaPQZQ5HnEHxswZuCZ9JsfcrDlWdjZWx46ywuH1yntCN1ArK1DX56BtyEFbs6rWMrBo\nhU/Bd8+dtT5L1Scw5gmczGZ4R92HcrRcXPgdOmL17YfdLluymb1enIRE7EYN8Y15FO3nhaj1gfxr\nrsU8/0J8d9yOUllR5zYAVpu2VL7xLtr6HEkFSEiEUBB9yS+45nyNerCqAS3w2JPg8uB5/J+1ymKq\nj+1yUfnpF6hbNokcq3ETcOloq1bg/uJz1OIqRtT2+aj88HOMGdNxT687M9lJTiY86GLMAQPFKOvx\n4nvwXoylv9d7DCB1wIGXXseYPRN1107MSy7DzsgCXUObPw/X1M9rJBGY3XsSfHwcxjdzcH3yoWjS\nvV7M088kMmiQxIOZEfSvvsT4bg6kNiTw8mso5eV4nh5Xg+m1s5oRufAizN69cZIboJSVYkz7AqtV\na6yLLkVbuQLPm2/ENcpxKcPZ52CddLIAaBSUNaux2ndATUhAX7gA12cTq4zJuo6d3R7z9NOluCIp\nCdvnA4TEUPPzcb/5BvqSJVUEB+CkpUnCQ58+UmPctStKJIzjF2mcMW0qxq+/ySpF9ddBVbFbtSJ0\n9z2YF14Ito2Wnn7c9cIAO3fuZPr06cyfP5/OnTszbNgwBgwY8G/9vvsrzj333MOXX37JokWLaN++\n/b/cvqSkhKysLD766COGDRv2HzjC/1tzAvz+RWb16tX88MMPFBQUsHfv3rjQ3+12x6NeMjMzadas\nWfy/fr//33oMcbbZceDIEQGfx47VAMiOqmK3bw/BIK4PPsA1Y0YN9ic2ZvfuhB56SHSzu3ahHDsm\nkotYkLlhCEO6bx+UlGB17Ciav507Mb74An3lyviXazxJISsLc9AgIhddhFpcLMfocoHjSJLCvn2o\nW7fG5Qd2q1aERo6U2LA9e3BNmYK2eXMVU9uhgziRGzbEbtVKlt5jub67dqH/8osY63JyahRfmH36\nSJmH14u6Ywf6jz9it2wpYDuW6xvTvcZajVJSUHfvxv3CCxh1aH0dwyBy+eWEbrkFJRCQGwqXq6ax\nDgQg5+biBAJYAweiAOqGDbg/+0xa94ia1po0EYDcvj2Ryy/Hbt1a/l0RXaRi21XGuijj7hQUYF12\nGeFhwyAUQv/lF9zTpoFtC+Bs0UIAd6tW2MnJ2F27ipxGUVBsGzUnRyqdN22SeLboe9hOSiL44INS\n0rFjB64PPkAtLZU0ixjobtYMJyFB/puYKIYb20JbvRp18xb0zZtRN6xHjTLutq4Teuwx7G7d0X5e\njPuDD+Lvw+rP387OJnzVVdiN01Dz81BUTXKuNRUOHULduQNt02b0dWuxkpMJPfU0+tJluCeMr5c5\nNrt3J/jkOPQlS3G/+groupgO27bD6toVJ6qPtxs2ggYNQFXRFy9EW7MafeWKGoYjADsji8q33sH1\n+We4vvqy3s+nnZpK4L0P0JYuxfhpPmafPlhdulY1dSkq6s7taL/9TPi8QWiHSvE8/cSfMq7BG2/B\nPGsgvnvuqvEetxs0wOrTD/PMM7HTM0Tn37Ax6r5CfPfdhVp6sN59RvqdSmj0I3gefgB9a5W+2HG7\nMU/qTeTCi6KFOj6UgyVYbbLxj7gFvR4GN37eO3Qi8OyLuD/9GG3DeiKDLpYbv+Rk1NKDuGZMR1u8\nQCQOQODFV8Hrw/fw6No38P4EImeeReT8C6RsxTRxGjdG37gB7xOP1yjxqfU6NGxI+O9DCQ+7AaXs\nkKyGzPsO14yvaiU2xB/jclE54XVIz0CJGngxdNRNm3DNmYO6dnUtpjd01d+JXDsMdc9ulMNHsLMy\ncfx+FMNA2bED46cf0X75Jb5SY/btR+je+yEcxpgzGwIBaXnMyKgyvh07hpaTg/7zz5jJSVjDR8j2\n336LMXMGqKp8zjt1wureXW5cfT4crw88bpTKAE6bNlI+oevHzfLu37+fGTNm8M0335CWlsbQoUMZ\nNGhQjfiy/81z55138vnnnzNr1iw6duwY//vExET8fj8VFRWMHTuWq666iqZNm7Jnzx4efvhhCgsL\n2bJly7/9u/7EnAC/f/kJBAIUFBSQl5dHfn4+BQUFcYBcGf2yT0xMjDPGsf/Gfv53X1xs20ZRFBzL\nEvB59GgNgCxMRLawem+8gfHrryhFRTXyWW3AvOQSwjfcgOI4EmtWUiJL3SkpNWqFHdNECYex09NR\ndB198WLcH30UB3qxcdxurPR0wjfdhHXuuaJZO3y4qubYMIQVLCpC27oVdeNGrPR0rKuvRjFN0RB/\n/nk8fcFJT8dq1kyMg23bYp16qmh9Dx2SL6DyckmwiIHtnBzU8vJ4y5x5zTUQDove+bvvsBs2lJKQ\ndu1EG+fxYLvd0LSpSAUSEiQe7MMPRXpwuGYpgA1Ehg4lcu21KEePoq5fL3re6mA7xkYXF6NYFnaH\nDihHj2LMn48xbVrNClFNE/anWTNCI0bgdOyIsmcPRCLCRuu6GOtKSwUgb96MsmED5rnnYl5wAerh\nwxizZ2N8953UGXu9ApCbVzGk5oABAoArKuRmp7y8isGPAeTSUuwmTQg89hhOejpaTo7Une7fL2A4\nuk+7Qwfsli0xu3eXopCyMjAM1MOHUfYVoebmom3chLZhPWpZmZSEjB2LnZ2N/sOPuCZ+WtNoFTNP\nZmYSuulm7O7dUHfskJUBV7UUj/370bbliqHvwH7CY59E3bEdz7PP1Ks5ths2JPDaGyhHDuMZ9yRK\nZaAKUHTpEtez2x4PTloa+P0Yc2ZhLFqIumpVnTm+wVEPYvXsiefBB+rV9zpuN6G/DyEy7DrU3K04\nXp+AYsNAKcjHWPY7+uKFcs5dLio/+gx9+TLcr9cv1wAIXXkVkaHX4R7/Ek5SMtbpp2M3bSqyGTOC\nvmI5xtxZaHv2UPn8eBRVxfPIQ/XGnoGAwcDb76McKkMtKhRGPTERHAd92RIBkrGYMCDwyhugqvge\nfqhuTXVWM8IXXIjVuw9Wi1aQlIS2fCnep56oF5DGj2P8a+Dxoi+Yj9WnL3bDhjgeL1ruVlwzvkTP\nWVu1fVoTKl+egHr0GO5nn0bLzxfPwCmnYg48W0pXEvySizv3G9QN6wk8/SyoGu533sZYtrTq9TIM\nrE6dMM86W7JyY9ncLjckJGB8NhH3pM9qm011HbtdO8x+p2D274/VrbuA+4QEtN9+Rf/pJ/Rff43f\nKFYf8+STCYx7SirXDxyoalVzu1AOH0HbvAlt+XK0FStQgkGsk3sTHn47dpeuUinv9R43Q1teXs43\n33zDjBmirx48eDBXXnklycnJx/X4/00Tyy/+I9x64oknGDNmDMFgkMsvv5y1a9dy+PBh0tPTGThw\nIE899dT/SF3z/4Q5AX7/F0x5eTn5+fnxPzGAXFRURCj6hZ+SklIDFMd+Tk9P/7frpmJvKcc0BaRU\nVIjUorxclvbatJH82U8/lXagwkIx3UWlArbHI8kTsSKNRYtQ8/JEk9m6teRNxnSrbreAP78ffD6M\nefNwvfIK2sHazJSdkiIMZJ8+UhtcUhLXvcZNXZEIakEBSm6uuJ27dUM9cgR9wQJcs2YJyEfMOXZG\nhhg/unUjfM01wj4XFckSvGVJDXM0XUOPaqMxTcK33SZVn+Xl6PPnY3z3nSxXNm8uLGjbttIyl5Ag\n5yoUEsB9+DD6d9+hr1olGunyqkgn2+US6UFsvwsWiDEtBra93vgNRSyyzG7UCNU0cU2ahOvzz8Wo\nUv11jLJAoVGjJO4tL0+C9avLW3RdAPLu3Si5uVjdu2N17Yq2f79EyP36a1XpQbWyELNPHyJDh6Ic\nOSLmQcMQRhpQYvroKIPvJCQQfOwxSRb5/Xfcn35ala/s8QhAjt6oRC65BLtxY4lu0zRZFbBtlOJ9\nApCjTD6VlYTGPoGd3U7A8aef1AkynPQMQtdcg3nJxag7dqBEzKrVC5dLWPr8PNRNG1FycwkPvwMF\nB8+4J+uNz7KB0JgnsLp1xf3uu2ibNkpCS7ceWO2zpXba68Vxu3A0HTsjHX3dOrxPPVmLNa56b6dS\n+fa7aLm5eJ59uibQ1zS5cejRE+vkkzFPO12KN0wTNT8fbc0q9MWLUHf8oXgmJZXAux+gLY8y4XUZ\nchOTMHv2JHzTLZIXfaQcxbZQdmzHWDgf7ddfaoH50LXXEbnsSjxPjkHfUNMs6SQkYJ50MuY554q0\nJSMdJ7kB+tIlkm/7J+kPZqdOBMY9i750Ce5Jn2H2OglzwJlxQKqWlaH/OA/ju7kQDBJ88mnstu3w\nvPgC+to6ouQ6diJy7nlYHTthpTWGpGTw+/H+858YC3+q9zgcIHLF3wjdcx9K3h65mXS7UcsOoy1b\nguv772u9juFzzyd8+3DU4n0Y06Zhd+worH5SkpjQbBtt82b0hQtRly4hcu0wzMsvRy3Yi+udd9A3\nb5LVhjZtMXv1xO7aTYgEnw/b5wW3B6dhKuqu3XgefaRWkooD4vVo3RrzkksJX3ut3OA3bIiSnHzc\nDG84HGb+/PlMmzaNAwcOcNlllzFkyBAyMjKO6/En5sT8p+YE+P0/MI7jcPDgQQoKCmoB5OLi4jib\n27hx4zrZ47S0tH+7HisOkEMhOHw4DpCJRLCzskQb/MMPYsbIzUUtKpIcYccRTe7dd4veeP9+XDNm\noBYUSONQlCGMlVXYDRpANJYNnw998WJcEydKIcQfQu3tJk0IPvSQMKZ796Jt2SLJBImJVQyJYYje\nbt8+MdxlZKDu3o3ryy/RFy6ssVTu+HwSy9a9O+E77gBNEzmDrktebrSaWC0okKKKjRtR9u4lPHw4\nVteuqAcOYHz9dRWQjbGg0ZsAKz0du3NniYkzDPmCXL9eYtmipSNxmUCDBqKP7tEjvl/Ky6u00dUk\nKY7PB4mJcZBrzJghbGxJCX8cu2FDAo89ht1M5ff8AAAgAElEQVSxI+qePaiFhQI2Ymy0210VzVZQ\nICA1MxNt61bcEyeirV1bM60jKnGJ9OpF6J57xPW/d6+Y6QyjRvGItmMH2qZNOOXlRG6/HcfjwVi0\nSIB8NdbLcbvjADl8/fXY3bqh7twpWc+aJtIZy5KSjdytaBs2oG7aRPiee+qUVdR4HyclEb7wQsLD\nR4is4uhRWSL2VqWUULwfLXcLSk4O5sCzcTp3wf3+u+g//lgv4xo5/QxC948S8+hXX2G1z8bq2k1Y\nY58Px+OW909xMU7jxpCcjPf229Dz9tT7mQuffQ7hkXeLnvWjj+T5Z2SI2a5PH5wWYgqzvdE87NSG\neF5+AWP2rFoNZ/HXPz2DwKtvoG7ZhOe5Z1GCQWEm27bDPOUUrB49pSzH58OxLJzmzdGXLMHz4CjU\nP/nqMbt2I/jkU+hLluD6/DOsrt2qUgz8fmkB2yDNhkpBHoHX30IrLMQzblydBkCp9s0gfFp/Qvc/\nIGkUqiptksuXYcz7rs6bFbNTJ4JjnkQtLsb9+mvYaWmYZ5yB3bqNXGPcbtT8fIyFC9AX/ER48DVE\nLrscfdVKPK+/XkPP6zRpgtWjB+Zp/eXGuUEKNG4shSW7d+H950M18nRrHL/PR+TCQYTuvx+lsAjC\nYXAZkn29fz/aurXovy8RaRBRzfwNN2BefoUUXEyaBI6D3b27tHAmJsoNVvS9r+3cCcEA9qmn4bRr\nh5KWdtyA17Ztli5dyrRp09iwYQPnnXcew4YNOy5d64k5Mf+tOQF+TwwgF7Di4uI6AXJJSQmO46Bp\nGunp6XFQ3KxZszhIbtCgwb+1WjIOjh0H69gx7MOHRV4RDqOkpkrr2pYtqHl56Fu2SGzZ3r0oZWVY\n3btLLFtSkmh9P/8cNS8PJzNTcos7dIhqDv0Sy5acLEytz4e2bh36vHnCrP7BuGR26EDovvvESLJn\nD/ovv4j+tWVLycyMfZkYBoTD8uXYqJGA4wkTMJYtqx0zlpCAecophO69F0fX47rcuGY4yi4qBQWS\nXFFUhHnJJTiZmWJMmTw5ro92vN546YXdsSNmr16S81xcLM/PMKIFEYWomzejb9okkpPKSuzMTIL3\n3y/a4L17Mb74Aq2wUGLeOnbEatMmLtdwUlNxUlOFWfV4pOL666/lnB2qucRsp6cTHD0au21b1N27\n0VaskHNWLZotll1MNFvZadIEdcsW3C+9hLFlS+33hq5j9e1L8KGHcDQNddcuuaH4Q/GIUlKCtn07\nysGDhM8/H0VRMBYulCSSPwDZGJMfHjYM8/zzheWurBDGrNprqhbuRd0k+mNzwADs/qejrV6F+803\na0lV4sfauw+BsWOlDbGgQBIWoswuuoFytFzMiTk52ImJmFcPFvbytddqZDbXOK9JSQReehknKQnj\n65k46ekiG0pIrALewSDaju0o+/YRuehiAZ2vjK9XjmADocfGYPXogfvTT1CKCrFOOhmrc+coA+mT\n9+OBAyhr12D1Px01GMT72COoB+ovzbBatCD44ssohYUYs2dj9T45Ch6lRlcJBtHWrUFftAjlwAGC\nr7yKumsXnmeeqlda4ni9RE4/ndDYcaj5eeCA43ahlB9BW7kSfcFPctMce266TmjcU1ht2uH+8P34\njYfdqBFW9x6Y/U+TbGR/glR1HzuK3bKVMO5PPlFnzBlEzb9duhB4abysnBw5UpXFnZ+HsWwp+uLF\nNW4czVNOJXjf/ShlZbg//ADl0CGpCe7VC7tJ03gcH8Eg6qZNol9v1Rp9fY68z4qrarcdRZHoyuxs\nyfE94wzsxo0ldcLnQ929W26sV62SVbZqq0WO203kyiuJXHstTqtW0KzZ/xPJsXHjRqZPn84vv/xC\n3759ue666+jdu/dftmL4xJyY6nMC/J6Y455IJEJhYWEcGFcHyDGDnsvlqteglxDL/v0XU1hYyDff\nfMOxY8e49dZb/+X2qqpKlm5FBZppohgGarSuWDlyRKKpNm1C270bpbAQ85RTCN90k5jFNm7EPWkS\nSl6etIxlZUk5SIcO8nOnTjheb43SCy0np0YGcrxd6dRTCd1xR7yC2fjmG2EcO3SIZmFWZcw6SUnC\nZiYno5aU4H79dbTvv6+TDYucdhqhBx4Q5nj7dkl8+INcQ6moEFa5uBizTx8Ujwdtxw6MiRNFrxvd\nl+P3xwFy5OyzMQcNQt23T1h3lwtsuxYbra5fL9rYUaNw0tLkhmLiRLRt2+KMqhXNLnZSUoT5TU9H\nCQRwEhPFFBiNZtNycmqARLtZM2Hb09NRd+3CmDMHu2lTYaT/AJDjSRspKaglJXhefBFtUT0xUh06\nEBw7VrJnN24U094fikcUVUXZvx+lpASzRw8Bx3Pn4p48uU7Dk5OQQGjwYCLXXVclm6leHW4YKMeO\nSevVxo3YTZpgDRyIvmMH7ldfjbfo1dgnYLdoQeD55yExEXXbNinG8HrlWA0dQmGU/Hz0DetR9+4l\nePvtqJWVuMe/gr6ldpRfbEI3/4PI3wej5qxHMU3sRo0EdHuEjad4v2ikV64kctFFON26CzCcN69e\nRtpu3JjAW+9AOIS6eTNOltxEOl6PAL69e1FXrURf8jtKKELg5fGo+4sl8q6OlQOIFmdcfAnhEXfI\njQxRIKsoKLt2oS9biv7zz3HtrtW8OYEXXkQtO4L7uWfijK0DOI0aYXXpgnnKqWJiTUnBTs+QdJP1\nOeIXWLmi1qoPRNnSkXdjDjxb2hnz8rB69ZKUlyjbrh46hLZmDfriRTguF6FHHkU5cgT32+/UkE44\nui5Sk27dsU7qJXF6HaQUA5cb/ccfMX5ejLZ8eZ3a3PBZZxG++x6Uw4fR1qyR55KYGC8HIhJB3b1b\niim2biFy+3CczEy0Vatwvf++GEqJpjq0bIndpYtchxo2xM7OlshKr1fyeP8fjGv5+fl8+eWXfP/9\n97Ru3Zphw4Zxzjnn/I+LHDsxJ+YE+D0x/9YJBoO12OP8/Hz27t1LRRRQ+P3+GsA4KysLTdP4+eef\nmTdvHmvWyJdISkoKOTk5f3ph1XUdwzDQdb1O1qI6g8zRozhHj0rt7+HDUoBRXo5SViaFCps2oeTl\nYfbrh3XFFRAtpzCmTpUvkz9WMHfogHX22XE2zPH7pYK5qCiegazn5KDs3SsNYJdeSuS66yQLefVq\njJkzITGxBtiO5fDaGRlihPN6UYJBXJMno82fj7pzZy2wFznjDEIjR4KioG3YgHLsWM3KarcskStH\nj4rUoVUrcLvRlizB/fHHaHv21DxnCQnYmZlEzj9fmt5KSwXouVxxmYASDKIUFAjrvnEjdiRCZORI\nAfPbt2N8+in6tm1VkoNqemarbVvsVq3EcOPzCXDftk2yezdsEOlGFCBbrVsTHD1a2PYdO3BNngy6\nHgfb1QGy3aABxJreHEeKQr7/vsYNSmzMNm0IPfIIToMGAsjz8yVCq2HDmgyy4+AcPiwlJAkJ6N9+\ni/ett+La7xrnDTDPP5/QvfeKXnLrVmHJ/f4qJj+mkd6xAyccxjrzTLTiYlzvvou+Zk2tfQLYiYkE\nH3kEq09v1K25IleodiOlKIpINrZsRt2wkchFF0F2Nvq3c3FNmlRnaoWjaVgnnSTmp6NHpWLc74+y\nxm6RgeTloeWsRVu5CkdVCI97GqW0FPeLL9S5PO9EUy/CQ4YSuWiQLKUrqhyjrsP+YrScddIKtmED\nqm0THjiQ8Mi7RQbz4os1Vg4ct1vkPd27Y/Xsidmzlxyf7aAeLJFVmhXL0ZYtq8FoApidOxMa8wSU\nl+N+7VXUwkKsdtnYJ58k5rqERHnfuAw4cAAnPR08XlxvvYVrzuw6Y9wcJAYxOO4p7BbNUfPyRabj\ndqHoBkpxscgPYs+P2GfzbjEAf/wx+u+/i56/dWvMHj2wO3WS963PJ+2IiYmSNrNzJ96nnkKJ7qfW\neyIpieCjj2L17i03DKZZU2pUXo4WXU3QV63C9noJ33UX9sknQ9u2KAkJxw14S0tL+frrr5k1axYJ\nCQkMHTqUSy+9FJ/Pd1yP/0/Oc889x8yZM9m2bRtut5t+/frx3HPP0blz5xrbPfHEE3zwwQeUlZXR\nt29f3nrrLTp16vRfOuoT89+YE+D3xPzH5+jRo7UMeitXruTHH3+ste1XX30V7z6PjWEYccD771hi\niwNk28aJphPEykHiGcilpQLQNm8W3d7AgShHjmD8+CNG9dKLWMxWZiZm585ErrsOx++PR5fFDFix\nDOQYg0xpKeGhQ6tA92+/YUyfLjFasQrm7GxZ3vb5cLKzwbaFPbZt9EWLpEWuWqYvRJM1LriAyE03\ngeOgrVqFun17VbxYtH431grnmCZOw4YoCQloS5cKu1pY22TlJCYSvuQSwv/4h4Cn4mI5lni1sRE1\ng0nzIEePErnsMhSfD3XLFlyffBIH3XHTWjTVwTztNDEaFhYK0FMUlMpKAXh/SNcw27Qh9NBDkJqK\nmpuL65NPUI4ercpBrgaQ7bQ0SE2VJ+Byof3yC8bPPwuDn5dXA2RYLVoQfPhhnEaN5CZm4UIB7dUM\nhLhc8Xpox+uVTOb16/E++WS92k2zc2eCTzwhNyqrVkHsuKKGxFhih1JUhFJainmStJ25J03CmDu3\nbtOZy0VoyBAiN9wgqx2lpaLprH7jU1aGun2bSCtSUzGvuhp19248r74qEo8/7tPrxWrRgtCDD4oU\nZvdueZ5ul2Q0BwKou3ehrV2Htmol5OURGTUKs//p6EuW4H7n7Zq6a03DyczCatcWs1cvIoP/Llr1\nUEhSWMrL5fjWrBHwWCoNcbaqEr5/FOZpp4kU5J134qswVqtWWD16YHfugp2SEtfYE31N3O+/h/HD\nj7WyamMTvnAQ4dtuQ923D/2770TeE8u59nrAFWV6N29GKcgnfMXfUCwL1+TPMX74oQZAdlRVnl/7\nbMz+pxO57DJ5/4JIjo4ckQzvNWukHCLKgtuqSnj4cCLnnouWl4frQ8kWttq3x+rcWTTO1YtpEHZb\ncblwffwxro8+Qv1DXrUDUmzTsyfBRx/FzsoioqpEqsVlqaqKqqrMmjWLrVu3kpmZSfPmzeMrdh6P\nh3nz5vHll18SCAS48sorGTx4MA0bNqzzXP5V5oILLmDIkCH07t0b27YZM2YMS5cuZfPmzaSkpADw\nwgsv8MwzzzBx4kSys7MZN24cv/32G7m5uce9Onli/ufPCfB7Yv4SY5omaWlplP1BW3fbbbcxatQo\ncnNzWbZsGcuWLSMcDtdr0MvKyvr/1aBnm6Y06FWPeIu16B04gLZ1q0So9e+Psn+/FEP88ENN933U\n1GW2bSva5LQ0AUvRFAZ0PZ6BrOZKzJa6cSORq6/GPP98ScCYPx/XrFmSvhAF2zGAHG/RM01p0fP5\nolFgG8UMl/P/tXfe4VHV6Rc/t0xJT0hIDySQkIQASqQL0iwgiAVEpSisrro/EMsqwlpgZWVXl1XX\nDihFUUlwqboIrhogYJQAIV1CzYR0UkibzNzy++O9czOTBMVdYEC+n+fxEVOG7wxDPPe95z3nMFkd\noEWo3Xkn7NOmATYbxH37IO7dCyUmhlrmnKbRMBrJk2s0Av7+EI4cgem118BnZHTaRiWNG0d5yDYb\nhCNHSCA6e6NFkURtcTG46mpIQ4YAAFVMr1njEmenC+Tu3SHdfDPst95K4qKxkfy49CbSJqAFEHNy\nwGdnQw0OhnX+fCAoiMTxqlXgT5zQmwedBbISEgK1Wzdw9fVkcTlxAsLBg3oOsstFRUQEWhYsoOro\nn36CKTVVK6XQsqMdzXdmM5UOeHtT3nRDA0xvvglx585O28KUiAi0vPgivScOHgRXUUGC26lJzzF5\nR3k5lB49qNFw61aYP/jARXDqrx3HQR4yBC3PP08LhMeP03kcCSBGI1ldTp2CkJsLrrycmgoFAYYN\nG2DYurVDIYgjncQ+YQJsU6aQ1cNmgyqKdOFjtVLRSlYWhEMH6YKrd29Yn38BnN0O48cfQ/z6a4rm\nA2gaqt2el5OS6HUMD6e/XwYD+KIiCIWFEA4dpOxn56STqCi0vLQE8DDDsHETDF99BUXL8Zb79aOG\nMsfFhclEmbddukDMzITphRcgVFR0+ndeMZnQsmQJ1fvm5dGdGF/ftlpqjqO7PDk54A8eoFSIyZOp\npe399yHm5Oh/F9SAACjdu0NJSiJbRnIyTXkbGgCzmV6roiKa1B440CacoV2IvfgiVC8viHv3Qtyz\nhy7EEhMpcs5xF8BgoGST0lLI3bpB6tEDtpCQDvFazjzyyCPYtm1bh49zHIeAgADcd999ePvtt8/5\n/Zc7TU1N8PPzw5YtWzBhwgSoqorw8HDMmzcPCxcuBEB3K4ODg7Fs2TI8/PDDbj4x41LBxC/jsmHm\nzJlYt24dAGDIkCEYN24cJk+ejKSkpA4TXkVRUFFRcc4FPUVRwPM8wsLCOojjyMhIdOnS5YIvZugT\nZJvNJcHCYTfgGhrAnz4N1WiENGAA+JoaGFeupJSIdh5E1WSC3KsXWv/4RygxMeBPnqQNb6fJKmSZ\nltcKCsAXFEAaOBDKiBHg6upg2L4dhm3byHfrVMGsxMVBio+HfOONuv0DHh5AQwPV+DriwA4dojxY\ngET3PfcAVitNpLdvhxIQ4DKNdnhU1fBwqDwPeHmRF3LNGgi7dnWYrAKAffhwtD7xBABQ6oPVqjfM\n6VnPDrtGXR0JPbMZwp49MK9e3THrWWt/k0aOROtDD1EGcEUFiXZNlEGSKH6uoABiXh7U6mrYHn8c\namgohKIiGFatIrsGz7sUhShxcZDi4qAmJZFdw7EAd+oUhGPHqJrbqWpaCQxEy/z5UOLiIBw/DuOa\nNfT8unUjYdejBwkps5nSRAID6TGNRj0/mc/O7lg17esL64IFUJKSqNZ2924S7927d4zta2igKWZ4\nOITcXJj//GcIls6noHJoKKx/+QvUqCjwhYU05XW2VvA8UF1NjY0FBZCGD4eakEC5zO++22HhTfX1\nhRIVBalvX9jmzgWsVnrdRBEQBLq4Kymhi7GsLMqtBtA6fz7kAQPoAuidd+iOAs/T+7d7d/KuxsdD\nDgigkpWmJqheXhBOnIBw4AD58ffvdy3sgJZ8cOed4EtKYFy7lhbVkpKgxMe3LXKazXQ+SaJccVWF\n+bXXYNi8uVMPtGowwD5uHNlcamrAV1a6TGk5ngcqK6ll8PBh4PRp2J5+GggMhJCRAdMHH9CFFmia\nq0RF0fQ5MZHEu9aICbMZXF0d+MJCep/l5JDg1t4bKsdBGjUK1tmzIcXHwxYZCeU8f7bddtttOHDg\nwDk/P2fOnCta/JaVlSEiIgLp6ekYNmwYjh8/jtjYWOzfvx/XXXed/nUTJ05EUFAQ1qxZ477DMi4p\nTPwyLhvS09NRUFCA2267DaGhof/z40mSdM4FvTrNU2owGM65oOfj4/M/n8EZZ/+xarVSVq2TQHbY\nLCBJVDfa1ATje++RiO2kilcOC4P1hRco8u3UKfofqVMGMgwGuq1cXAzuyBGoPXpATkqCcOYMDNu2\nwbB9uz6RVg0Gir2KiICclEQb4CYTLWmZTICigJMkl2m0cPgwUFcH+z33QLr7brJr7N4Nw+efkwfX\naRqtFzvExuq/H1QV4jfftNk1NOGo//kNGwbrnDm0wHjwIIT8/LakDidh5nieakAAeXizsmBeurSD\nlxkggSwNG4bWP/6RLCgWC6VWOIltR9YzX1gIrrgY0q23Qu3WDcKJEzCsWgUhL48mlk4WF7lXL0rX\nGDuWIvmam6koRCsTEI4daxN6ZWVQvL3R+tRTkPr3h1BSAuNHH0EoLKQJtCOyLyaG/NdeXlCjowFJ\noqW4vDwYdu7UY+1caqFFEba5cyGNGgW+rAyGjRvJIpCQoNcy6xdQggDwPOTgYPCtrZSu8eWXnQo9\nRRDovFoSBl9RoResqNpdAT0jOz8f8PaGNHo0hKoqGNasoQUy5z8Hs5neHz16wPbAA1Di4qhkhePo\nH1EkQXn0KITsbIgHD4IvK4Nt5Ejyljc3w5iSAnH7drLGhIRA7taNPLSOxa5u3eiCQLMaCfv2QTh0\niFJJnJIgAM1b/vzzNF3dvRtCZiY9TkJC2/N05GTb7XRRoU3nzYsWdTo9VkURckwMNRFGRtLE3ZHk\n4ohNbGqiiMCcHIrCGz4cysSJ4CsqYFi9GqKWEONIplFiYkgcx8TQ+cLDwTU3g4uOBjQPrqIoUFUV\niqK4/Nrxb2cGDBiA0tLSDmd38Ne//hULFiw45+cvd6ZOnYpjx44hMzMTHMdh3759GD58OIqLixEZ\nGal/3e9+9zuUlpbiq6++cuNpGZcSJn4ZVzVWqxUlJSUdpsclJSVo0GKWPD09XRr0nCPezGbzBT2P\nXjENUNVyJwJZlSTICQngFAXG5cth2LSJcnTbPZbSpQusCxZQQUVxMYSiIrIxaBnIuje3uRlcSQng\n5wclNhacxQLj5s0wfPWVSyyWajLRJLRHD9gefRRKVJTubVW1iR4kSZ9Gi7m54LKzIY0fT413mjg2\npqQAjY2udo34eNpMT0jQY7rg5UVC+/Dhtmm0k8iQBgxA6+OPA0Yj+Jwcmkg7Fuu0imE9KcLTk0Sa\nvz+la7z2GoSdOztdJpJ79ULLokXkIz5yBJDlDh5aaPnDOHYMat++UCIjybP50UcQMjPb0jVEkYRZ\nZCTkvn1hmzWLPK5lZfT6axnbXEUFLSjl5JAHvKYGtj/8AfYxY8BXVZHQ++47wMeHxHZ0NImf7t2h\neHlB6dOHylCMRnDNzdTSlZtLAjk/H7yjQAY0ybffey+4xkYYtmwBb7GQ2O7Vi5INnBM2PD1pEu/n\nB/Hf/4b59dfPGWtmv+kmmoI2NIDPyQGCgtoysh3vtYYGulCrqoI0YgQgyzB8/TWMn33mEj+nchxZ\nUyIjId14I2z33EO+eYfNxXl67LC5ZGUBPj5oeeEFIDQU/KFDMK1YQSUqfn40TY2NpecaFQXF3x9q\nfDw9prc3+KIiiAcO0J/BoUMu6RSKKML2+OOQRowAb7HAkJJCVobERD02UX+ePA9wHJTgYPIIv/UW\njJ9/3mGJTgUAPz+0TpsG+733UtlPXV2HCxTHQq6Qmwv+2DFI99wD+Xotj/dX3MEqLy/H559/jrS0\nNMTHx+OOO+5AdnY2LBYLysrKUFFRgZKSElgsFjRq9pmPP/4YM2bMOK/Hv9x46qmnkJqaivT0dERH\nRwPAz4rfsrIybN++3U2nZVxqmPhlMH6BxsbGThv0Tp8+jdbWVqiqCn9//04rpsPDw2FweFIvEM7T\nG/XsWSj19VAd4ljzIiMpCaqXF4wffQTjxo20CNUuM1Xp0gWtTz0F+ZpryPKwaxfUiIi2/5k7Tahw\n9ixl6UZFATU1MK5eDaPT5Fg/j6cn5MhI2ObMgTxgAFkTmptd7RqacOTz8yHk5NC0efp08hzv3QvD\np5+Cr6tztWs4rAcDBkANDKRbzJ6e4BobKQNZ8zQLWVn6spTUpw9NeL28aMnus88Ak4kEUHw81IgI\nXSAr/v4kcA0GQBRh/PRTiJs3U4V1+9c/MJAWieLjKX3j+HF9yqg6ZT1zVitw+jQ4Pz/I2tKY6eOP\nqfXOeVnKYIAaGgopOpo28iMjacEMIPuBYwmuslK3pfBZWZBuugn2KVOAhgYYtm2D8Ysv2ibgWqa1\nHB8PNSoKUr9+4AwG8oh7etK08dgxynrOzqZlTu19JQ0dCutjj4HjOIi7dkH8+muKn0tMJP+xv7/+\nPB2/hrc3uMpKmN5+G+Lu3eA7yeeVu3WDdckSqH5+JPCtVko4cVykmEy62ENxMdSePWm6mpkJ8/vv\nk/h1fq9pqShyfDxan3ySvMEWC71vBMFl6VLIz4eQnQ2usBD2hx6C/cYbwZeVkS3nxx/pdQ4Lo/da\nQgK937p0oTswkgTVMT3OzgavJZwIWVkuMWW2kSNhnzsXaG2F+OWXEI4eJYtGfDxU55g9Lb9b8fQE\nAgMh7t8P09KlnSdocByU2Fi0Pv00pOHDwZnN4ENCzlvw1tfXY8uWLdi0aRN4nsc999yDu+66C76+\nvj/7fWfPnkVJSQlCQ0PRxbEkegXx5JNPIjU1Fd999x169eqlf/xctocJEyYgODgYq1evdsdxGW6A\niV8G439EVVXU1dV1EMjFxcUoKyuDJEngOA6BgYGIjIx0iXiLjIxESEjIeS/oqaqK/Px8bNmyBQ8+\n+ODPTp45jqMs46YmCE1NEKxW8I2N4BsbIYeEQI2IIG/w+vV0K7u01KVUQfH3R+vjj0Pu3x98ZSXE\nLVtIPCYkkHB0+BsNBrIxiCKUgABwPA/jJ5/A+MEHnTaDKd7eaP2//4M0fjz48vK2vNx2SRGcxUIN\nbgAtuKkqhIwMKi3RBK5jedAhWqQbb4ScmEhCSRMIXGtrB7sGX1cHOSYG1vnzKaXh6FEYVq8GX1tL\n0+i4uDY/s6cnVD8/KKGhgKpSGcr+/TD8+9/kVW7nZ1Y8PdH6+OOQhg4FX1oK8ZtvoIaHuzQPwnFR\n0dxMi1RRUUBDA4wrV8K4bVuHeDLVYKASjtmzId14IziLhe4CmExtucUAxW0dOQIhLw+K0Qj7Aw9Q\nGsju3TB9+qleMe6SaR0fD2ngQKjR0eDKyvQFOK6qiry0+fltAhnagtlzz0ENDISQmwvTmjVUB9y9\nOwnHnj2h+PnRsp+vL9TAQJqWGwzkZ/7Pf8BnZXVY+FPMZrQ+/TTkIUNo2fCHH2h5MDTUJV2D43mo\n1dXgBIHuVJSWwvTOO2StaD9d9fWFHBGB1gcfhDJ0KLiTJ/UJOdplM/N5eRCysyEHBcE+Zw44SYK4\nYweMqanUXOeoNO/eva1lMTYWSkQEuOpq8rlXV9MFk+Yp5w8fBq/9nVLCwmB97jmooaHgc3Jg3LAB\nir8/vWbta8gdFwKyDDU2Flx0NHmIz4PW1lbs3LkTGzZsQFVVFe68807ce++9F8RKdiXw+OOPY8OG\nDfjuu+86tMypqoqIiAg89thjLgtvIbJ5yP8AACAASURBVCEhWLZs2XnlyjN+GzDxy2BcAhRFQWVl\nZacLepWVlTRZ4jiEhoZ2WNCLiIjAqVOnsHXrVmzbtg1HjhwBAHz44YcYP378OX9Pnuf1SDhBEDpM\ni5wj3lBfT5vnWoKFYjBA6d4dQkEBDJs3kzCwWMCVlelWCMXLC63z5kEePBh8VRUMGzeCKy9vszE4\nRIvJBMVkAvz9Sfj5+ED87jsq9jh2rONrBcCuRXdx9fXgCwpIGDjfWjYaSbScOgWuthbS0KGAJEE8\ndAjGNWtcW7CcsoalMWNgv+MO8KWlNM02GumLHPXGjqne4cOAhwesjqiv4mIY16yBoCVI6EkRWrqG\n4uMDJT6e0hZ8fMBVVkLcu5f8qu3j53getocegjR+PMXlbd0KWK00bXS0BTqirQwGEsddugCenjB8\n+SVM//gH+PpOKnyNRthvvx2tDz9M0WHFxW1Rdg6BrKWICEeOgKuqgn3cOBLz2dkwrVqlp4CoHEcC\nOSICUlwcpEGDIN9yC/35a35mx8KkLpCzsqg2WvMzy/37g7dYYFy1iiw3Tu2DSo8eULTSBqVHD8Bu\nJ+vBiRMQt2+HmJ1Ngtvp4km3bEybRoknX34JGAz0Z9BusspxHFSrlfJ7TSYYUlNhXrGiQ2OeI4lB\nGj0arY89RqU45eX0vnDOZq6vB3/yJPm9LRbYpk8HwsLA5+VR9beWzqCXyERHQ4mPh6RF9/HV1eTZ\n5jhaXnPYNXJzSSBbrbS4Nno07L/7HZTERCAmhqbZ5yF6FUVBeno6UlJSUFBQgHHjxmH69OmIi4v7\nxe/9LTFnzhysW7cOmzdvRmJiov5xHx8feGlRb6+++iqWLl2K1atXIy4uDn/5y1/0qDMvpzg4xm8b\nJn4ZjMsESZJQVlbWYXpssVjwzTff6CUhDqZMmYI333zT5WMOwWvQ/qf5vyZa6AJZklwSLGCzQQkN\nBXfmDC0I5eeDKyyEUFICrrwcnCxDMRph+8MfII0eDa6mBoatWylwPyysw+1g1WymKSvHkXgsLoZp\n1SqI6en6lNcZ+8iRaJ03D1AUCAcOgFMUsh44bdvDYKA0i6oqarXy8ICQkQHzhx92yLZVPTwoKeK6\n6yidwGYjgWww0GKbwQDObgdXUgKhsBBiXh64oiLYHn6YkjsqKmD87DOIe/ZQZF1wsL4Ip8THt8XP\ntbaS0DMaaRL9009t8XPa4pECQJo4EfZZs+gW+n/+A3H/fvL5xse3LXJpVgHV15eEckAAhBMnYHrj\nDQjp6R3yXwFATkhAy+LFFH+Xl0fP3Tm32BGXVVYG7uRJKoQIC4N45AiVNGjfA2gCOSiIMq1794bt\noYeoLaykhF43gFoJa2vBHz9OAvnwYXDHj8M+cybsd94Jvr4exn/9C+JXX+nlLg7hqMTE0EVFr15k\nS9AuEPn9++miQosAdBbIUr9+sD7zDGA0Qty3j+q0He2DQUGu1gNHPrNWQW5+6SWIWuqEy3sDgBId\nDeuLL5K3u6hIf890JpD5/Hyy1gwaBKGiAoa1ayHu29fmA/f2bpsgJyTAftNN5NmurwcXHg7Oy+u8\n/t6qqoqcnBysX78e+/btw7BhwzBjxgxcd911V23FsONnXntZs3jxYrz44ov6f//5z3/G8uXLUVtb\niyFDhrCSi6sQJn4ZjCuAJUuWuPzwBgA/Pz9kZWWhvLwcGRkZ2LNnDyorK+Hh4dGp/zgqKgoeHh4X\n/GwdIt4aG6E2NEANCABntZJPsriYopoKC2mxp7ISKsfBdv/9kCZNouWrHTtg+OILulXt8F726qVH\nUckxMbRMZDIBNhsMX3wB8fvvyXvZbhIq9euH1qeegurjoy/M6T5fs5myhjWrBrTSBDU4GMJPP8H4\n97+TuG3/PL28IMfFUeNceDj5chVFL6eA0Ug5upqfmc/Lg5ScDOWWW2jCu2ULpSnYbCSoQ0Npgqw9\nT+n666nxrrqamv0aG2lKW1TU5jHVFv6k666jmDijEcKBAzCmpED18YHsSAFwWsJSAgIoBUQUAZ6H\ncf16iF99RX8W7bb/9Si1a64hP3N+PqVO+Pm1CWSTidJHysrAGQyQ4+PBl5TAtHYtxO++cynicCyu\nyRERsM2aBXnQIHrd7HbykGt/BvyZM7pAFg4fhtK1Kz0/joOYng7TunWUZuLjowtHOSGBkjGioqDG\nxNDr5u0NvqoKfFFR2yKck0BW/P3RumAB5Ph4srp88gld+GiecueGP8VkAvz89GQRw6efwvTxxy53\nFfTXDYD9wQdhnzoVXEUF+CNH6M6H09IlDAYSyKdO0fsxORnKoEFkawgIOG/BevLkSWzYsAE7duxA\nXFwcZsyYgTFjxkAQhPP6/quFMWPGIDs7G4WFhQgKCnL5XGNjI3r37o3AwEBkZmay1+4qhIlfBuMK\nIC8vD3369AFAlc6jRo3CpEmTMHv27A6tRE1NTedc0LNarVBVFX5+fp0K5IiIiAu+oOf8I0ZtadET\nLBSeB6eq4IuKqEFPa4MTjh2j6eGZM64T0D17aGnNam1rhEtMJI+pvz9l3fr6Uh6ylxf4rCyIP/5I\nt5bbeUyVqChYn30WSng4hGPHIG7eTB7YXr2oEc55QqgJW7VLF8Bqhentt2H417/Ad/KjU/Hzo0iw\nG26g2K+aGpcpLYxGireyWMDn50PleUgTJoCz2SCmpcGYkqJXJ6ui2OZn7tUL0tixkPv2dVn84ux2\nagtsn88cFkYiVptUGlatAl9Vpft89UQMLy+aRHbrRrflvbyo1OOLL8gb7bQIB2iZubNnQ7rjDnC1\ntRB37CBB2rOnfpECg4GsB7JM1oPISEAQyHqwZg24dncwHAJZGjUKrf/3f5RcUlmpX1CoRiM4QaDo\nM00gc6dOofX++4Fu3cAXFsK0cmVbY2A7gSzHxUEeNoyiBVtbyUt75gz9GTisBzk54K1WErEzZsA+\neTK4ujoYU1Ig5OdDDg+ni4rYWLpboVlJlJAQWq7z8SGLx+rV1OCm2Udc3htBQWh95hlIo0cDgYG/\nanGtqqpKrxgOCAjAtGnTMHHixItyMftb4ejRo+jXrx8mT56Mjz/+2OVzTz31FN58801kZGRgwIAB\nbjohw50w8ctgXAGoqoq5c+di6NChmDhxIvz9/f+nx6qvr+9UIJeWlsKuLVs5FvTaR7yFhIRc8EmJ\ni0BuagLq66Ha7RQFVl5Onsn6evAnTpD/+MQJ8CUlkBMTqUXOYIDg5Pd1VN3qy0kxMVSSEBND9b9e\nXuDr6uixtNQJ5+IAxdcXVqckDOP69eBaWvTCCyU4mHJVTSYoRmPbhNDbG+K//w3T229DKCnp+DwB\n2O66C/bf/558ub/gZ0ZVFaQhQ8AJAoSsLBdfLuC68CcNHQr7ffeBq6mhcgTtIoYDgLKyNoGclQU0\nN8P22GPkR62ogOGTTyCmp7clRfTsqQtkxdMTSkICpR5oMXTi3r00iXYIZKfnKA0ZAuu8eZQWkZ5O\nNgDNxqA6fN+OaTnH0XMPCgJfWEjWg59+6vi6aakH1uefhxIeDr6oiPJ9tRa99gKZLyiA3LMnpOuv\nh1BVRZaUXbv0qbSzQFbi42GbMAEICABXWqpnFqOlhab4hYV6YyBvtVKKyPz5NHX//nsYP/kEMJsh\nR0S0TZAdkXG+vlCCgshr3K0buKio8xa8jY2N+PLLL/H555/DZrNhypQpuPvuu6/I9AV3sXTpUjz/\n/PPYuXMnbrzxRgDAoUOHMHDgQMydOxdvvPGGm0/IcBdM/DIuOaNGjcLu3btdPnbvvffi008/ddOJ\nGO1RVfVnF/QULZ82JCSk0wW9rl27XrwGPVUlq8LZs1BVFXxtLbjqaqqYrqsDd+wYxYGdPAkIAqyP\nPw41KKitwc3h2dQyc5XoaEo8SEigpIEzZ2gKKookvLXb1EJuLvi8PPCyTEtrDz4I6dZbdUuDeOAA\nTQjbCyCTCUpwMC2J+fiAO30appUrIe7Z49JE5kBKSEDrCy9A1RbRuMbGjlmyWvMdV1ICNSoKSlgY\n+NxcmD74gCqKnV83o5HqtGNiYJs3D0pwME1JOY7O5FynXVhIz/PwYcgjRtDUvaWFUkE2bgRaWuh5\naQLZYSWRY2KgBgXRdNXHh7yvBQW6z5cvKmpb+AsJgXXhQop0c1RDd+lCArlnT735DiYTFLOZqpi9\nvMCJIkXsffxxp1FqCs/D9sgjsN91F/jycvDHjtEinJM311kgo76eprB2OwxpaZSG4fS4zt5cacQI\n2CdNIl92YyNZSDiuLbavsJAmyNnZ4Ox22G+/HdK991J5R0wMuPO8WJQkCd988w1SUlJgsVhw++23\n47777kNUVNR5ff+lYvfu3Vi2bBkOHjyI0tJSrF69Gg888ID++VmzZuGjjz5y+Z4hQ4Zg3759l/Sc\nkiQhOTkZzc3NyM3NhdFoxNChQ1FeXo78/Hy24HYVw8Qv45IzevRo9OzZE0uXLtU/5uHhccEb1RgX\nF1mWUVZW5iKQHSL5jLakJooiwsPDXabHjn/7+fld8DO5COT6eqjNzZRgUVsLtb4eOHsWfE0N+WgL\nCsCVl8M2fTrkPn0glJTQBPSHH8Cpql5CoDgiwXr3hn3SJBKK1dW695irq6MkAMfmvjYJtY0dC9sj\nj1BkVno6DKmpgJdXm5/ZEW9lNtPtcx8fKgoRBIhffgnDt9/SdFWzQThQ/P3R+swzkPv1o3SEvXtp\nOcyRmeskkFFXR2kR0dHgamqoFOXrrzut01bCw2G7915It90GTitccGnRa5eIoTY1Ua6tjw/4w4dh\n+vBDmro7JUU4MpWVnj0h9+9PrxvP00S/pKRDUgQPTcQ+/DDst9wCvroaxvXrwZ882Wk1NEwmKEFB\ndD5fXxLTK1ZA+PFHlwxeB1JCAqyLF9PU9tAhQFXJ5tJeINfWgisuJlEfFkY1zitX6hdO+uvm7U0W\nnJgY2GbOhDRyJBV5hIWB01Inzuc9+8MPPyA1NRUHDx7E2LFjMWPGDCQlJf2Kd/6lZfv27di7dy/6\n9++P+++/H++99x7uv/9+/fOzZ89GaWmpi93AaDT+T3es/lsyMjIwfPhwzJ8/H5GRkZg7dy62bt2K\niRMnXvKzMC4fmPhlXHJGjx6NPn364K233nL3URgXGZvNds4GvbOaqDObzeesmPbUKlt/LXa7HVlZ\nWUhKSoKklRQ4w3Ec+Y2bmiA0N4PXCkL4xkbwDQ20gPXTT3T7vHdv8uXW1bksrQFwzcyNjYX9rrso\nZ/jEibaqXoBaurSJtCMbWOnZE63PPktNcgUFMH3wAUXFOSLBHJm5/v6UMxwTA66lBaqPD/ijRykF\nojM/MwDbAw+QL/fsWRi2bQNAzXXOxR56xbHNpts4DDt2nDtKzcMD0sCBdMuf48AVF5PAdi5DcWr4\n448cgX3kSKjXXgu+pATGtWv19juV46B27UoLf1qmsjRuHDiep9xnsxmwWsE7fL6aXYM7cQI8qN3P\n+uST4Hher9RWfX07Fchqly5Q/f3pfDwPw9atMHz7LdkY2glkxWgkz/bw4RBOnoTw/feUPuFcDW0w\nUKpFbS24EyeghIdD6tMHtqgoqB4eeuIAz/PYtWsXZFnWF079/f11QVxYWIiUlBSkpaUhOTkZM2fO\nxNChQ6+4pAYfHx+88847LuJ31qxZOHPmDLZp7z13M3fuXKxYsQIeHh645ZZbkJqa6u4jMdwME7+M\nS87o0aORm5sLAAgJCcH48eOxaNGiDotbjKuD5uZmWCwWnDp1qsOCXrMm6nx9fc+5oGfUsnrtdjt2\n7dqFTZs2YevWraivr8fhw4d/0SPpiIYTRVEXHs4Rb2ptLeX3ahnI0Gqm+fJy8IWFUOvqYJ8xA5yi\n0IR33TrwdXX646tO0WfSDTfANmMGVQTX1uqCjON5oLoaQlER+Lw8ygauraW83AEDwJeWwrBuHcTv\nvwc8PFyispSePSH7+kLp3Zt8uVq5iZCZCd4RCZadrfuZAS0t4sknAVGE8MMPEHfvhhIb21bs4Rzj\nZTBQokXXruArK2H8298g7trVaTW04ucH68KFkAcOBH/8OCU0OKa0juU1m02PjAPPw37LLeCam2H4\n6isY//UvasZzft3Cw6H06gX7qFGQhw4lL7QskwBXVcBxYZGfr19YwM8Prc8+Sxcix4/DuGIFBItF\nv7CQExLIg+zrC8XDA2qPHvSY3t7gi4shfvVV2+vWTiDL0dGwzplDHuuQENh/5tb5hAkTcOjQIf2/\nPT094enpCbvdji5dumDKlCl4+eWXL/iS6aWkM/E7e/ZsbN68WZ/2jhw5Ei+//DK6du3qljM2NDQg\nPj4eTU1NOHLkCEJCQtxyDsblAxO/jEvOypUrER0djfDwcOTm5mLhwoWIi4vDjh073H00xmXKLy3o\nqaqKAwcOoKVdicGyZcswbdq0Do/XmeD9tTh+dCpWK3ldtQxkrqEBOHuWBHJJCbiffoI8fDiUHj0g\nZGXB+MEHHco9HNFnco8eFNHWpQuJPI4j8ak1uKGykhrccnLAHzoEacQISDNnuvhyHdNhR2aunJgI\nNToaUo8eUMPCwJ05Q97j8nJdbAvZ2eRn1uwQSkAAWufPh5yQAOHECRg++QTgOMpnjouDGhKiR5/p\nkWAeHoCXF8Rt26iOWCt+aI/95ptpIa65GUJODlk/fHxcF/6sVnAWC1BcDHnAAHD+/lTEsWIFeKdF\nQpXnaYIcEQE5KQm2hx4CAFpccyz88TxQUwP+6FEI+fkQDx0CLBZKEpk9G2hqoon+tm1UmhEWRkkR\n8fE0QfbxgRoSQtPfhgbYw8NhP0/LTnJyMso7iUZz8MQTT+D1118/r8e6XOlM/KakpMDLywsxMTE4\nceIEnn/+eciyjAMHDugXq5eaUaNGobKyEvn5+W75/RmXF0z8Mi4Izz//vIuHtzPS0tJwww03dPh4\nZmYmBg0ahAMHDqB///4X64iM3zCqquKOO+7A1q1bXT4+atQofPrpp2hsbERmZiYKCwvR2NiIsLAw\nl+lxcHDwRV3QU50F8tmztKzm8CAXFwOSBGnsWHBnzsC4ciXEtDSXvFygLdmhddo0SLfdRuLS2Zdr\nNOoFFY7FNbWuDvbHHgP8/MDn5JAv9/TpNj+ztqymaJFg0qBBtIQny1RQUVpK1de5uSS4tWxgBYD9\nnnso17axkRb+MjOpzCM+noolnEollMBAwGymCuDaWphWrICYlga+qqrD66Z06QLrokVQYmMpL7mk\nBGp0NBRvb3qumsWCa24GtEINpW9fcCUlMK1b1zFrmOd18WqfPBn2m26iZsCWFrqwEEUSyGfO0ARZ\nKx1BXR3sM2dCGj+e/NlhYVBVFYqi6P92/nV77HY7oqOjO1hunPnHP/6Bp5566r96f10udCZ+21NW\nVobu3bsjJSUFd9555yU8XRtM/DKcEd19AMZvgyeffPJnf/gBOOfGcnJyMgRBwNGjR5n4ZfxXcByH\nGTNmuIhff39/dO/eHf7+/ggNDUWPHj1QXl7usqD3/fffw2KxoLq6GqqqQhAEhIeH69aK9gt6v0Yg\nO76W4ziKRevEv6yqKmTt32pjI3D2LFqXLYPNMT1uaKDFs+JiyIMGAQEBEL/4At7jx+t5wC6PZzKR\nL3fBAkqiKC6mT7S0QE5KQvNbb5EvV6vX5QsKIPXuDWXYMPDl5fB87DFqI9MW/tSAAPIz9+wJ6bbb\nYP/nP/WpsWo2U26uokDq0wfgefCHD8Pw8cfky+3RA60LF0L18oJh926Y1q4FOE5f+Gt94gnyS3t4\nUC1waCg4nofq6QkxLQ2m116j3OJ2iRgKAPtdd8E+axa48HCI334L1WKBEh0N2333wTZ7dtvFQFMT\nUF0NJTYWMJsh7tgB71tu6fCYqiCQQI6JQeucObC+9RY4u50W13gev5TVoKoqZFlGZmYmfvjhB1it\nVvTt2xd33XUXKioqUFZWpudsOxMZGfkLj/zbwHGxefToUXcfhcEAwCa/jMuAw4cPo3///ti9ezeG\nDx/u7uMwrlCampqQmJiIm2++GXfffTfGjBnzq72UNpsNp0+f7nRBr15bAjOZTOdc0LsY0UmqqrZN\nDzVRjKYmEr+avYKrrYVqMOglGKa//Y2ml52g+PpS2cKwYTQBratrsx04ijhaWsBZLBDy8wGbDbbb\nbwcvy1TE8dlneiSYCujRZ5I2OZZvuQVcaSk4qxUqz9M0uqambeEvK4t8uaII26OPQrrxRvCVleRp\n/uEHsn9ERlI+c1wcZQN7eFDcmyiCM5uBxkaI27ZBzMzsPBEjPBwtf/oT1PBwCDk5EDIz26qhvbza\nlvREkTKVi4tpupyQAPToAc5gOO+khqysLKxfvx4ZGRkYMWIEZs6ciWuvvbbD96uqipqaGpSUlOjv\nqfHjx6N79+6//k1xGXE+k9+qqipERkbiww8/xIwZMy7h6dpgk1+GM0z8Mi4px48fx7p16zBhwgQE\nBgYiPz8ff/zjH+Hl5YX9+/dfcZvOF4J3330Xf//731FeXo6kpCS88cYb7CLgv0RV1Yv+Hmppaek0\n3q2kpERf0PP29naxVTj/2mQyXfAz6QJZi3hDQ4OrQG5oAGprIfftC3h4wPjJJzCuXt2hbc2BfcQI\ntD7zDGC3Q8jPJ9+rlxelJziqepuawBcXgysqoqreqCiIx47BuGoVRCeB4eLLjY+HfcYMKF26kN3D\nYABUVV/4448eJdtBVhb406eppvqZZyiaLCODzuzc8Nc+ESM6mkS3jw/4/HyIe/Z0urimApAHDIDt\nkUegXHMN1Oho8J6e5/3eOX78OFJTU7Fz504kJSVh+vTpGDly5FVTk9vU1IQiLfbt+uuvx4IFC3Db\nbbchMDAQXbp0waJFizBlyhSEhobi5MmTWLhwIU6fPo2CggK3ZeuOGjUKFRUVKCgocMvvz7i8YOKX\ncUkpKSnBjBkzkJubi8bGRkRFRWHixIlYtGiRWzIg3U1KSgpmzpyJ9957D8OHD8c777yD1atXIz8/\n/7ILtmecP2fPnj3ngp7NZoOqqggICOhUIIeFhUEUL7wjTfelKgp5hZ0TLDSBrJrNUOLjwRcVwfT3\nv1N6QrtMYABQPD1hfe45yMnJEI4dA19crNclO2cDOzKQVZsNytChQH09jF98AcOmTeBaW/XH020H\nERGQRo6E7b77wJeX0zkNBqok5jiqcj56lKa5WVlAXR1sc+dSnXRpKYxr1kD48UfA01NfXHM0/Cl+\nflC7daMyjuZmmvD+CitLRUUFNm7ciK1bt6Jr166YNm0aJkyYcFEuZi530tLSMGbMGABk63HIiFmz\nZuHdd9/FHXfcgUOHDqGurg5hYWEYM2YMlixZgoiICLedefTo0aioqGCTXwYAJn4ZDLcyePBgXHvt\ntVi+fLn+sV69emHKlCm/uEDIuHJRVRVnzpzpNOKtvLwcsiyD53l07dq10+lxcHAweL6zsLH/DkVR\nYLfbYbfbqb1PliE0NIBvaQHf2Eje44YGcI2NUBMTAV9faltLSQFXVtZhOQ8ApGHDYH3mGXA2G4SM\nDPL2RkRQKoRDIGuFEiguhtqzJ9TgYAiHDlFRxfHjrq+ZwQA1NBRSVBRsc+ZAiYmBcOIEfVIQ2hIx\nHFXOubkQDh8GjEbYHn0U8vXXQ42LAxcUdN6Ct6GhAdu2bcPGjRshyzLuvvtuTJky5aq8UGcwfksw\n8ctguAmbzQYvLy+sX78ekydP1j8+d+5c5ObmIi0tzX2HY7gdRVE6LOg5BLJjQY/neX2ZyFkgty9U\n6Iyamhps3rwZGzZswHPPPYe+ffv+4plEUdQj4tDaSpNZR8SbNj1WRBFKQgJ5j199lSqaq6vR/iSK\npyc11WmZwMIPP1C9cWhom0A2GHRLBKxWyu1tbITxs89g2LxZLxtxoFc5JyXB9swzUKKiqHAiJOS8\nBa/dbsfXX3+N1NRUlJWV4fbbb8e0adMQHh5+Xt/PYDAuf1jaA4PhJqqrqyHLcofA9eDg4J/NBmVc\nHfA8j/DwcISHh2Pw4MGdfo3dbtcX9CwWC4qKivDtt9/CYrHoC3pGo9FlQa+6uhrffPMNMjIyYLfb\nAQB9+vQ5p/gVBAFGoxGiKLpOmz086J92cKpK6Qjdu6M1OZk8yM4Rb2fPQo6MhBoWBkNKCjwWLgRn\nsYCrq+sgkKVBg6jJzdcX4qFDEPfvh9KrF6QxY2C/9da2xjWHJcJigTxwIE14o6Mhnud0XFEUZGRk\nICUlBdnZ2bjpppvw0ksvISEh4by+n8FgXFkw8ctgMBhXKAaDAdHR0YiOjj7n11it1g7xbnv27HH5\nmi1btuC5557Tp6NNTU1QVRWBgYEwm82/6kzOE1bOywvoZMGJ1244yvPmoeV3v3NNsGhoAFpbIScl\ngWtuhvH11yFmZoI/fVpPmXCgCgKkm2+GfdYsKMOGQYqOBieK4M9zypuXl4fU1FTs2rULAwcOxIMP\nPojBgwdflYu3DMbVBBO/DIabCAoKgiAIqKiocPl4RUUFwsLC3HQqxm8Ns9mMuLg4xMXFAQBuvvlm\nREVFuZQvnD59GllZWQgJCUFeXh6OHDmiV0w7FvT8/f07XdALDw//1Qt6LhnIvr70TzsE7Xz2996D\nXVvKcxbInNUKpXt3IDYWnNl83oLXYrFgw4YN2L59O6KjozF9+nT89a9/vShLhgwG4/KEeX4ZDDcy\nZMgQXHPNNR0W3u6++268/PLLAGiDev369cjKyupwG3blypV45JFHsHbtWsycOfOSnp1x5TJq1Cjs\n2rUL8fHxmDp1KqZOnYo+ffqc8+tVVUVtbW2HBIvi4mKUl5dDkiRwHIegoCA999ghjiMjIy/4gt6v\npaamBps2bcLmzZvh6emJadOmYdKkSW6L3foldu/ejWXLluHgwYMoLS3F6tWr8cADD7h8zeLFi7Fy\n5UrU1tZi8ODBeOedd9C7d283nZjBuLJg4pfBcCOpqamYOXMm3n33XQwbNgzvv/8+Vq9ejby8PD3q\n7MyZM0hISEBiYiJ2796tf295+5OkAAAABhFJREFUeTkSExMxYMAAfP311+56CowrkIyMDJjNZlxz\nzTUX7Ba/oiioqKjodEGvqqpKX9ALDQ3tII4jIiIQGBh4Qe0Gzc3N2L59OzZs2ICmpiZMnjwZU6dO\nRVBQ0AX7PS4W27dvx969e9G/f3/cf//9eO+991xKJF555RW8/PLLWLt2LXr16oWXXnoJ6enp+Omn\nn+Dt7e3GkzMYVwZM/DIYbua9997Dq6++irKyMvTt2xevv/56h5KLtWvXYvbs2VixYgUeeughAMDU\nqVPxxRdfICcnBz179nTH0S86ixcvxksvveTysdDQUJSWlrrpRIz/BUmSUFpaqgvkU6dO6QK5trYW\nQMcFPecGPR8fn599fFmWkZaWhtTUVBw7dgwTJkzA9OnTf9YTfbnTvkFNVVWEh4dj3rx5WLhwIQDy\ndQcHB2PZsmV4+OGH3XlcBuOKgIlfBuMKYezYscjKykJBQQF+/PFHTJo0CUuWLMFzzz3n7qNdNBYv\nXozU1FSX2DdBEBAYGOi+QzEuKlarFSUlJZ1WTDdqLW0eHh769NgxNU5LS8OPP/6IkSNHYubMmejX\nr5+bn8mFob34PX78OGJjY7F//35cd911+tdNnDgRQUFBWLNmjZtOymBcOTCHP4NxhfD++++jX79+\n+MMf/oD9+/ejd+/eePbZZ919rIuOIAgIDg529zEYlwiz2YzY2FjExsae82saGxtdCkLKysowZcoU\nvPnmm271Fl8KHDGInUUksjsiDMb5wcQvg3GFEBcXh4ULF2Lx4sXgeR6fffbZVbGhfvz4cURERMBk\nMmHw4MFYunQpYmJi3H0shhvx9vZGYmIiEhMT3X2UywoW0cZgnB+/7UtkBuM3huN2f1BQEJKTk918\nmovPkCFDsHbtWuzYsQMrV65EeXk5hg0bhpqaGncfjcFwC6GhoQDQaUSi43MMBuPnYeKXwbhCKC0t\nxZ/+9Cf06dMHVVVVWLx4sbuPdNEZN24cpkyZgj59+mDs2LH48ssvoSgK1q5d6+6jMRhuISYmBqGh\nodi5c6f+MavVivT0dAwbNsyNJ2MwrhyY+GUwrhDmzZsHWZaxZcsWzJ49G6+//jpyc3PdfaxLiqen\nJ5KSknD06FF3H4XBuGg0NTUhKysLWVlZUBQFp06dQlZWFiwWCziOwxNPPIFXXnkFmzZtQm5uLmbN\nmgUfHx9MmzbN3UdnMK4ImPhlMK4Atm3bho0bN+KFF15ATEwMXn31Vfj7++PRRx9199EuKVarFQUF\nBawBj/GbZv/+/UhOTkZycjKsVisWLVqE5ORkLFq0CAAwf/58PPnkk5gzZw4GDhyIiooK7Ny587It\n7WAwLjdY1BmDcZnT2NiI3r17IyAgAAcPHoQgCADasn+XL1+O3//+924+5cXh6aefxqRJkxAVFYXK\nykosWbIE6enpyMnJ0UtArkZYAxiDwWD897DJL4NxmfPCCy/g9OnTWL58uS58AeCBBx7ADTfcgAUL\nFqCqqsqNJ7x4nD59Gvfddx8SEhIwefJkeHh4ICMj46oWvgDdFu/Xrx/++c9/wsPDo8OW/yuvvILX\nXnsNb7/9Nvbv34/g4GDcdNNNek4ug8FgXM2wyS+DcRlz4MABDBkyBL///e/x7rvvdvh8YWEhrr32\nWkydOhUfffSRG07IcDesAYzBYDB+Hb/9kFAG4wrmuuuug91uP+fnExISYLVaL+GJGJc7J06cQEVF\nBW6++Wb9Y2azGTfccAP27dvHxC+DwbjqYbYHBoPB+A3xcw1gjs8xGAzG1QwTvwwGg3GVwBrAGAwG\ng4lfBoPB+E3BGsAYDAbj52Hil8FgMH5DsAYwBoPB+HnYwhuDwWBcYTQ1NaGoqAgAXBrAAgMDERUV\nhSeeeAJLly5FQkIC4uLi8Je//IU1gDEYDIYGizpjMBiMK4y0tDSMGTMGAPl4HT/GZ82ahVWrVgEA\n/vznP2P58uWora3FkCFDWMkFg8FgaDDxy2AwGAwGg8G4amCeXwaDwWAwGAzGVQMTvwwGg8FgMBiM\nqwYmfhkMBoPBYDAYVw1M/DIYDAaDwWAwrhqY+GUwGAwGg8FgXDX8P31RSo+ZT98MAAAAAElFTkSu\nQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -436,13 +438,13 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ - "from stats import gaussian, multivariate_gaussian" + "from filterpy.common import gaussian, multivariate_gaussian" ] }, { @@ -458,7 +460,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -476,7 +478,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -494,7 +496,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -513,7 +515,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -546,7 +548,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 8, "metadata": { "collapsed": false }, @@ -555,7 +557,7 @@ "data": { "image/png": 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LSAayvgFP8OvI9AmasOsyfOblafcNy9fhMVekXQ9g4sFgIjLNuLVfo2mz8Xv/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\n0tOPmfA2NDTw2Wef8eGHH+L1epkwYQKXX345HTp0OKbfjwCeeOIJHnnkEb7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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -583,16 +585,16 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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KN6H2z3EcHA6HpC2cQBC7yqTqfehgdzNeF1VCA4AMnRE/HToDFp0hSb3SFiOj\nw7Kq6fj7oS/h5vqueZbn8GLNdqwaNQcGOrbHsHzsKLm+wr0Uyse/liidSQFiC2Dtr5bfuro6VFTE\nr/gLoOwZunr1asnna665Btdcc01c+6E1RPxqgFxMphLynLLRZGSQ59pN5o0kWssvffILyWeu5Ny+\nG/HJfX1ZHUR4iseifckacNmn/Jf0ZriHz0FH2SQUPP0D6FqP+NbN/PJhMKWjwU9bAnbMTaB3/cG3\njDn4ONixKwE68OGUaumK5K4MahHPAETj7pKoMaXWmhzJR1Pr31Hp/lNx6vmkw4bnqreCg/8a1VE0\nflw1HflGa8jt+oNwKTJl4orySXihZpuvrcVlxwcN+3Hx4NOj3m+0zxk1v30qvCCK+6HkGpCP9WDP\nOcHwk85oIX4HCkT8akAqiV+ej61aGBB7RgYtiUpE8lyAv689ZwYcnZ3I+uBeUKLfzlN4GtqufQu8\nMSNwN+ZsdF3zEnKfWAja3uZrN796IzxFw8Gddj34PQ+CYvusd5S9DnT9R+DKF0X0a0wGsboyyK27\n/QmxRTXS7IZSi1oqBTNFsigL60WLzePEf459A6eoehsF4KohUzDEGl0lqnRjUm4ZjvS04Js2v7vV\n+tZjGJtdjBGZg+J2HC3iKtS+IEbyydf6fhfpOeByueByuSJakFN9NqWurg5nnnlmsruRlhDxqwHJ\nvEgEsSu27qqFpmkYjUZfZoZUvOgFQk1xheozz/Ngm3fA6PKLVU6XhV7LaDBt1TDveUuyfs85qyTC\nN8CnOS8P3p+9Bv2/vgfqVK5SinVD/58r4P7dNnBVl4M58px/+4NPpYz4jfXFSCtXhlQeb0qIViwE\nq+4n5A3XWihHmxpLiTXZw7F4pnozOj1SF44LSsdifI720eAsz8HldcPFeuBk3XCyp/7vdYMCUJVd\niqwocu9Gww9Kx+JQdwva3X7XsldO7MSvTzsXZkZ9wGsqWcXViESlMymp9pKo5BoQ1k0EdXV1GDJk\nSEKO1d8g4jfNEU9PR1MaFwi0VOv1epjN5nh2UzOEG464/2LxK5++93q9sJ74WLIPd/5MgNYhY/2/\nJLl8PQUj4BqzCAaDIWyVOX7oLHiXPgH989f6+9XTAt0H94Cd93Op+K3/GOiuBq2X5hNOhPgVzkUs\nxTYEsrKyJCnJCOqRPyh5npf8JgzD+K7DdLQmC3+vntyD2l6pj/jM/CE4u2Co4uPK9x0Ou8eJHc2H\nsLlpP7bsVp1aAAAgAElEQVQ1H0SbM3L1xIrMQozNq8KYvCEYl1+FMmuBJgLGxOixpGIyHj2ywef8\n0eFx4J36vbiyYlLYbYORSuJXDfGaSUmky1GsQlkLt6P6+nri9hAl5OmlAVregISLXCx21T7wxKml\ndDodPB4P7HZ/ovlUmIJXg7zEsXBOQqVnM7RskHx2DToLdGcdzN++Jmlnz/8dcvLyFP2e3LQl8DYd\ngO6T+/392vQs2DOvB5c3CXR7XwAdBR7M4WdAjb1dsr1W5zwWVwbAn3vY4XBItk2Xh2x/IRYfzWRM\nPQv7/7K9GrttJyXLhlvyMT9nKHp7exVZ05T0s66nBZsb9+Obxn3Y21YNL69uFuNEdzNOdDfjw5q+\nANYcgxVj8ipxZunpOHfwJOjiWJRiaEY+zh40DF+2HPW1bW0/gdOzSzA2u1jVvtLtXh0NsfonC/fA\nRBKtUFab8aK3t9eXfoygDiJ+NSDewkAsYLxer+o3XGGqXhykJl8uP146IxbyAXBuGNq/kTR5i85B\n9ldPgBL5I3KDhoGaujhoCeNQsAtvB73rLdDNhwD0VXfTvX0L2AU/A73pBt96zOE1oEbfItk2Xg+x\nWF0ZhLzM8iIkTqczwLquJankN59uqHG7UGpRjob9Pc34vP2YpG2Q3oLLi8aBoWhJH9QgFE5xcR58\nULMZH9VuRb29Nao+hqLTbcfGxu+wsfE7PHfgEywZeR7mV0yBPsbMDAILS0bjgK1Jkv7stdpdGGI9\nFxm66PO2DvSX0mBjX5j5E69jtVpTYjYFUJ/x4tNPP8Wbb76JwsJC2O12PPvssyguLkZRURGKi4sx\naNAgMiunAHKGNCDWG5A4I0M0FbIoigoIUgtHuolfsVVXrcAzdOwAzfp9D3lzCTIySmHY9oJkPXbe\nbwBG5eXB6MFe/BfQT17qa6IPrQN75k/B67NAefqmXylnM/T17wN5CyTfKRrElo1oXBkivRgJDPSH\nan8kHha1UNbkk65uvNH0nWQfZlqHJSUTYFJ7XclweFz45Pg2vHl8AzrdYV50T0GBgpHRw8joYWIM\nMOoMMJ36f4/HieO2k5IMFHIae9vxt12v4cWDa3HlyLk4v2I6DDF+Bz3NYMmQyfjnofW+Y3d7XXij\ndjeuqZyq6ncRQ67TQEKdIy3Hv1bwPI9du3bhrbf8sSnXXnutZJ2qqipJDl5CcIj4TQFiEXOANNJe\n8EtVcxOUryuu8pYKBPPbVYPwMqDX62E+vk2yjCs5F8wX/wLldfmPl1sObvpVUfWVG7sQ3Ki5oA/6\n8wgz798N7rwrwRx60temP/wf4IzoxG+sL0fRlFFOhQA9QvJQY03u9jjxcs1ueET+8zQoLC2biEJz\nZtSFFjycF2vrt+P16vXocPeEXbfUko8pBSMwtWAkRudUhLTYUhQFB+vCoa56HOiqxf6OEzjQeQLO\nU8GrYpodnfjnt2/iv4c+w+IRc7FwyHQYoghSEyi35GJe0Uh80nTQ17a7qwE7O+sxOXewon0Q8RsZ\n+TmKJhd9tEGsWpSubm0NP8tRVFQU1X4HGkT8akAkXzVhajqWjAzxjLRXmzFBa+TWzGjKKoc6P0zr\nZsl6XNFZ0H14p6TNO+83QLQPNYqC9+L7oX/gDF/wHN18GN7uiySrMc0boOs+DG/mCADhxaRWrgxq\nIOKXoASW5/Ds8a3o9EgrIF46eDzG5EsrUSm1prlZDz5r2InXq9ejzRU8eE1H0RibW4kpBSMxtWAE\nSiz5ivrL8zxMtAHjc6swPrcKqARYjsXxniasrd+Bzxp2wMtLXy5bHF14ZPdbeOXQ51g54XJMGjQ8\n6pRY84pHYp+tEXWOLl/bm3W7Mcyaj2xDegQdpzqJfEGQjwElpauViGTxd2hubg7bh2jF73333Yc3\n33wThw4dgtFoxIwZM3Dfffdh7NixYbfbs2cPbrrpJmzduhV5eXm47rrrcMcdd0TVh0RCxK9GiMWv\n2HIZbUYGIe1YLAImXF9pmpZYEBMtbuRBfLG4XhgMBmRkBOblBc+Bat0qbXLqQfW0+D+bs8HNiK1S\nDV92OriZy8FsfMbXxnz+NLizzgAtEt+WmudgG/fHvm1k51tu6Vbze4gt3cmouhcrwvUCqJuaJCQX\nnufxWu23qOntkLTPLqjCzILKgPWV/LbfthzBX3e8ikZHe9DlJsaARRVn4OIhs5Chi49YZGgGw7JK\nMSyrFD+sOgtvHt+AtfU7AoLoWpxd+P3m/+DSyrNw5dA5vqA4NZH+DEVjyZDJ+NvBL30i28F68Hrd\nt/hx1RkRzw+x/EYmVc9RtBkvVq1ahR/84AfYtm0bTp48iby8PDQ2Nvr+SkpKwu4rFF9++SVuuukm\nTJs2DRzH4c4778S8efOwb98+5OYGL8Nts9kwf/58zJkzB9u2bcP+/ftx7bXXwmq1YtWqVVH1I1FQ\nPDHhaILT6YTL5YracinOyBBNhSy12Gw2iQU6MzMTen30U3qRiNWaKc63y3GcpCRzKPFLdeyD4d3J\n/j4Y88DRl4PZ8ISvjZ22FN6rnwnYVjW2Jhj+OA6Uq9u/71nzwbjW+j5zuiw0z98BXteXY9RqtUYt\n/rUuH9zT0wO32z8VbLVaYTRGH5gjRonfcjgBkeqJ6JXi9XrhdPotpuJUZ+nA502H8b+T+yRtIzIG\n4WfDZvgC3JTi8Lrw9Hcf4J3qr4MuNzJ6XFg1C5ePmINcY6avXasgpjanDW/XfI1P6rfDzQXO1I3M\nKsPKcZeh2KKuYIcwfr9ur8GHLQcly5aUT8KUvHLfesFwOp2S+7bRaNT0vp2O9NdzdNddd+GSSy7B\nWWedJWmP16yt3W5HdnY23nnnHSxatCjoOo899hhuvfVWNDU1+Z4Hf/7zn/HYY4+hrq4u5j5oCbH8\naoTdbpeIhUgoDTzSCq2D3uLltxssiE8ulkL1nWqRZnngCqaB/uJdadvESxEXsorALvgtdO/5p3/o\nzZ+Dn54Lyt1nGaO9Npga3oGjYgmACFkqZMTDlUEN8XZ7EPzclfoti63BkfoZbdogQvTs6WzABzLh\nO8hoxTWVU1UL329bj+KvO15BY2+gtVdPM7hgyExcOWou8kxZAcu18s3MN2XhJ6MW4tLKM/HG8Q34\noHazJETukK0eqzY/jutHX4Czi8cr/q7CuJ6eVYa93Y2odfrdH96u34PBjBUZOmPIlz75dUPGdSCp\navmNlVAFLuL1/Ww2GziOC2n1BYBNmzbhrLPOkhhCFixYgDvuuAM1NTUpXYCDiF+NMBgMYcWveGo6\nVPGERBIs6C1W5K4e8fLblaNUmNEtUn9fXlcKyuYveMEbM8CdNk9VH8PBzvklmK//A6q9r5wpxbJg\nnYVgaP+0sOX4cz7xG45kuzLEKn5jfflRcxwlaYPUTE0TwlPb24EXa3ZIxKCZ0eMnVTNg0RkU7yeS\ntXdB2RQsHnoOBucWxzz+1fpmCn8mkwk3jr8Ys0vH4a+7XkW7aGbHwbrxt71vYmfbUfx81PdhVpGy\njKYoXFQ4Go/XbvG7P3BefNB6CFcUn67YWu10OhW//A2Usd1fxW9jYyNKS7WrkLhixQpMmjQJM2fO\nDNsHeZENwee4sbGRiN+BiMEgvemLMzKoibJPFPGw/MaahSBaa6bSvlMy8Us1Sy1L3NiFgN6kosfh\n4XVGOL9/N8wv+FPR0PsOgR9HgTolFQxd30Lf+S08ORMCttfalUFrYimwIXxXrbyy1Ex9hxMR/cXl\nIlo63A48fWwzPCJ/WBoUrq6cikGmIH73Ifi29Sge2vEqTva2BSwrNufhpjEXYmxuZTy6rJpgQnFa\nyWg8mXczHtr5KjY1SlO6fXHyWxyy1eHOqdeg3DpIcaT/IIMVc/Kq8Gmbv/jFdz3N2NfTjDEZhYr7\nK7ZmK/leSl4C05n+Kn5ZltUsn++qVauwceNGbNiwIez5SudzScSvRuj1ehgMBp+gS3XxEo34jZff\nbqyuHsGskgF+T64O0F0H/OuAAv3dFsl2sbo8BLVuDp0PXeFp0Df3HZty8WC5YjB0o287y/E16Jr4\nsMSPORF+3mpQYvkVf3+32616PIi/u7CtcJxQ09KxFmJQgtKXuIHmcuFkPXj62DfoFqUJBIDLysdj\nVKYyscZyLJ498DFePvR50OUXDz0Ti4ecDRPjNyakyvnLNlpxzxnL8V71Rjy+9z14RL7ADfY2/Gbj\n4/jjjJ9gbH5lwLahBPE5g4Zhn70FDaKSzP9rOYhKcy4sMaRVC4aa6yZdx3aw75hqfYwGlmU1m/1b\nuXIlXn31Vaxbtw6VlZVh1y0uLkZjY6OkrampybcslSHiVyMoigqecSBFkV9IkcRNtH67Wli/g+1D\nLn6pVml+X95aBbrDnwicN1jAjTlf9bEjWjdpGj1nr0Du67/wN1U3A8P8q5jr34ZtzJ2w5A0OmDFI\nFUKJ31isu+HEviBslUxLi7eJ5MOpZQGXWF0uUr24jBiW5/D88W046ZSmHpszaDhmBBF7wWh32vDn\nrS9gd1tgQv4SSz5unnwFxhcMQ09P+Jy+yYSiKFw4dDZOzx+Ke7e9gOPdTb5l3R4Hfvv14/j9tKsx\nq2RswHbB7lsGAEuHTMHfDn0B9tRY6mHdWNtxDFeWTwwY21q5D8mJZWwHE83Cuonod7A+pjuNjY2a\niMsVK1bgtddew7p16zBy5MiI68+cORO33HILXC6Xz+937dq1KCsrS2mXB4CIX80QLvJ0SaYRyvLL\nsqzEuquV326sRErVRsuC3eCR1kPnRp8PGCwRjyMEaqkpSOIccwG8BQ9B13oEAEB1cuBhBYW+ADeK\nc8Jc9zr43BUR95Us5L+bx+NBV1dXTNbdePu5ix+sSn04I4llLVC6b5Zl0dvbq2hqOtG8U78XB7ql\n+UbHZRdjUekYRdt/23oU9259QeIzK3Dx0DPx4zELVfnMJpuq7BI8Muf/8Mjut/BRjX9Gyc15cc/m\nZ7Fi4g/x/cozFO2rxJyF84pG4pNGf/aHHZ11mJRbhjHZfsETTPxaLBZFGS+0ItWsyQHPgTRL+xiK\nUMFusXDjjTfihRdewNtvv43s7GyfRTczMxNWa9/z8tZbb8XWrVvx6aefAgCWLl2Ke+65B8uXL8ft\nt9+OgwcP4v7778fdd98d175pARG/BADBxW9nZ2fUfruC6E3Ug1l+HI7jJAJIHuxGNTRI1594SdD9\nxmrtpmkaeqMRngW3QPfSz/wLGhyAKFbBenwN7GN/qWrfiUL4/mKUjotEZ6VQgtIHqlZps9Sg1uUi\nXDo4Yb1YWd9yDF+3VkvaBpuzsbRiCugI++d4Dq8e/gKr930YUFI4z5SF26YsxYRBw31t6WI8APrS\nr62aeDkKzTl47sAnvnYOPP626zV0uLqxdOR5in6D8wpHYk/nSYll/fW6b/GbjHyYw7g/KBV3yX4B\nFPcBCG9NBqL3u++PLg8AUFtbGxBoFiuPPfYYKIrCeeedJ2m/++67ceedfYWgGhsbJaWTs7KysHbt\nWtx4442YOnUq8vLycPPNN2PlypVx7ZsWkDy/GhJrsYZEIPbbFecYVQpN0wGuDMmgu7tbItAyMjL8\nLgQ8B8N/S0B5/GmEsBfAKVdFXmeE+946wNSXLzTWQC25tRsAwHqhv3ci6JY+6y90AD/BH/gGAD3n\nvAN9pXrXi3gjWLejCVykqPhkpRBmHNLhYSWMj0juFqlwq1US3BTu5WBfVyOeqZam+crWm7Bi5NnI\n1ofPSdzt7sUD2/+Lb5r2ByybWDAct029CrmmTEk7z/MBKQDTwZ3sf8e/wT93vREg8H9QNQs3jr9Y\nUfq32t5O/PPQV5J9zMgfgsvLJwJAQH5ziqJ8Frp4oWRsa+1OpAb5GBaMFwIMw8BkMqXFfSUc//jH\nPzBu3DhcfPHFye5K2kIsvxqSiheY2JIZTbU5rfx2YyXcGz/VeUAifHnKBMrlF/rcafPhYUzw9PZG\nFbinqPoeowO74LegX/x532cvgA4AohSKhqNPg0+C+BUeXuGKTIRDsO4KAZ6pMB4SidjqpKZSk1xQ\ncBynuYhQas0LJobrnF14vmabRM4ZaQY/HTojovA91FmHP25Zg0ZZ9TcAuGrUPFx92gLV+YBTmUWV\nM5BjyMC9216QFMV4r3ojOl3d+N2UpTBECGArt+Tg3MLh+Kz5sK/tm7YajM8pVRxQGCuxjO1wFmWt\niLR/lmV9L1ORXv7iOVsSb2pra0MWniAog4hfDUmViyYWSyaQHim3wmWroFqlLg9w6gH4xW/38Plw\ndAf6HoY7lngqX6l1k5u6BPxH94JqO97Xr2ZeIn719R/A3XsSsERXnlINsVh3gb6xbbFY0rJ8cjIJ\nZ1WVV3ijaRpGozEpQkK+72ZXD1bXb4eb878YUgB+WDQO2ZwODocjpIBYW7sd//j2DUk2BADI1Fvw\nu6lLML1odNh+iEnFe08oZpeOw/2zr8Md3zyDHo/D176+YQ9c7BrcNX05DEz4R/D84lHY03USzS5/\n0N8rJ3biN6fNhQHS6y7Z50aNO5Hwb6TiIloLZbWFcyLNmCSK+vr6uLs9DDSI+NWQZN2MYhU2Akaj\nERaLJek3VSWEs/wG+Pu2+YUuDwquEXMj7l8+lR/VOWH08M7/LfQv39D3uQfgnRQoU19fKd4L5vBq\nsBNuU7/vCMTqu8wwjORBIQgzgnZQFBUxKFAY51qmguvwOPBcwy44ZOL1ewUjMdJaEFJEeDkWqw99\njA/qtgQsG5k9GLdOXooiS67PvSWZAXxaMS6/Cn8760bctukptDj8s09bmg7gj1vW4I7py8IKYD3N\n4MqKSfjX4fU+i3uXx4l36/fistLTJeumy3mLhzU5kX730QTxaV1gpKOjA3l56kppE6QQ8dsPEPvt\ner3eqEsHC6JZIFVcGpQg76dY6GU2bpKuLMqc5CkdD86aH7A/rQK1uOk/Av/xfaA6avv63cwDohd4\n5tDTYE//LUDHfmnGMw0Zx3Ho6hK5jqSA/ypBWYUyAaUBTuLfttvrwpr6nehmpbl8z8qtxIyc8pDH\n6nT14ME9r2Jf54mAZd8fPB3LRy6AntbB5XIFLA8nEIR+p5NIrswqxt/P+iV+t/FJ1Pb4M2R807Qf\nf9r6PO6YfjX0Ya73IdY8zCkcjnXNR3xtW9pPYExGIaoM2Zr2Pdmo+Z2Dje9oZjpjQakPdKTgPSUi\nOV3Gf6pCxK+GaDU4BUuLOAWZWoJZMh0Oh2RfqRLEoAT5uRbOC+XpQk73IV87zwOUKH7GNWyOb/uE\nlA/WGeCd9xvoX/tV3+c2gC8DqFPaheqtB133AbiKC1XvWhgXbrc7Kt/lcNbtSFHU8Ybc2OOPmmlp\nnudh97jwQu236PA6JMunZw/GvPxhIbYGDnfV4/7dr6DNJc0BbKB1uGH0hTinZLyi44dCHuQVLsOF\n2MqYTAotOXjozF/g1xsekwjgTY3f4c9bX8Dt066Gjg79AnN+8WnYZ2tCk9M/a/VGwx7cUH6Gr/hF\nsr9jsgk2vuXPRrPZDJqmFVuUtSIaa/Inn3yCr776CgUFBfB4PPjwww9RXFyM4uJiDBo0SLNqb/0V\nku1BY4JZNqIhHn67kYKyXC6XJLJar9cjMzMzYL1UQVxO2e12Bz0nhuYvkL95qe8z72RAfecXhT2/\n+AD0yHMSa+X2uGD4wxhQXfV9nysADPIv5krnwTP/fUW70qrIRLDjdHZ2+j5TFIXc3NyQ68eK8L0G\n0gNd7vPLMAzM5vCBZFrhYr144uhG1MgC1CbllGHpkL6UZsFcLj45sQ3//u6dAP/eQaZs/G78lRia\npb0/ezCU+Gsmwprc5rThNxseQ21Pi6T9zJLT8ftpPworgE/0duBfh9ZLsj+MzyjGZcV9BTT0ej1x\nRZIhL5BisVhUGTaimS3RirvuugtPPfVU0GU0TeOiiy7Cm2++qXk/+gvkVUFjKCq6Qhdiv12v1xt1\n6WA1pXKjKXGcSKJx7zB0SCu7Ud3+88ibsqAfeRYQ52ILEdEb4Z1/M/Svn8qF2AKJ+KUbPgVlOwI+\na3jApuJzEKt1V02RiWCWX57nB5Q4HSh4ORbPHt8SIHxHZxVhyZDJvly+YpcLD+fF43vew7vVGwP2\nN2nQCNw25SpkGSxhBUQqV9+Ll0jON2XhwTN/gZs3PIY6kQDecHIP7t32Am6bGloAV1hyMbdoBD5t\n8s9k7e5pxJieQRidUUiuRRnBnrtqz5HaIL5I6eBiEcnNzc0hl3EcB5PJFPW+ByIkTFtj1PgreTwe\nOBwO2Gw2dHR0oKenBy6XS3FEqsFggNVqRU5ODnJycmC1WmEwGBT3QUmJ40TDsiycTie6u7vR2dmJ\n7u5uOJ1ORcKXoigYO3dIG0UuD9zIc4EI6Ya0gpt5LfisU9WaHJD4IQMAs+8R3//F56Cjo8N3DpSM\nCyGvZWZmJnJzc5GZmQmTyaS6ulqiH6xC2q9EWVVSkWR8b5bn8GLNdhzqllomh1rzsaxyWtB0ZM29\nnfj1+seCCt8fDj8H9838KXJMGaBpWpIWz2g0wmQywWw2w2KxICMjA1arFRaLBWazGSaTKehUrpZj\nURApYrcyl8sFp9MJh8OB3t5e2O129PT0oLe3Fw6HA06nEy6XS+JuFE7o5Juy8ODs61FqLZC0r2/Y\ng/u2vQiWC31dzy8ahRJTlqTtvZYDsLPu2L98PyNYphCtxo6wb4ZhfDOs8jFutVqDjnGj0eibkWUY\nJuQsZDjxCyDqcsdfffUVLrzwQgwePBg0TWPNmjVh1z9+/Dhomg74++STT8Jul2oQy6/GhLrYxA75\nsfrtChdNrBd2MMtvoq178cpUAQDZWZnQd8jEr0hkcqPnRb3vmNGb4D3v19C/9Zu+zy0ARLn76SNr\n0DtyJdx0dlKKTITat/iBEs+xEcmiHckSl8o5OdMFD8fi+ePb8J2tUdI+2JyNHw89A/ogFskdLYdx\n79YX0OWWFqIwMnqsmnQF5g6epKoPwQSK+EVXcAVJhSwAsVTfy9ZZ8JcZP8Mtm57Eyd4237pfNeyG\nfocOv51yJeggLxo6msaSisn4+6Evfe4PdtaD/7UcxNVDpsbni/UTgonfVECtNVkY07/85S/xve99\nDzt37oTNZgNFUWhsbERjYyPa2tpQUhKdS5Hdbsf48eOxbNkyXHPNNYrP08cff4wJEyb4PmvpBqcF\nRPxqjHggicWu1+uNunSwVqVihYtSK4ETDCFIK5YUXML5kPt3UZ37QXn8QTe8F6BELtjcafNj6nus\ncLN/CnbtA2B6WvoKXpQBOFWUjmId0B18As5RN0fcD8MwMBgMKZ2HORgcx/msZZFe/qKZtiYiWTlO\n1oPV1VtwpKdV0j7ImIGfDZsZUFKX4zm8fGgd1uz/KKCKWbElF3dNX47hOWWa9TdaAaHFdLSSPgRz\n68ikjPjD5Gtw+/Zn0eTwu5h8VrcDeorBTeMuDjqGyyzZmF88Ch83HvBt811PM3bbTmJKPsn9KpCq\n4lcp4mBNmqZxwQUXAABuuOEG3H///Rg5cqRvXZfLFbWhaOHChVi4cCEAYPny5Yq3y8vLQ2FhYoqt\naAERvxojuDJE458ZbTGFWJCLX47j4n5ceaYKNQ+ecJZNeS5aquUb6bZil4fCkUB+ZdTfIVZ4nocH\nDFyzbkDWJ/cAPIAmAKLsUdbq1bAPuwG8ziLZNmGZKWQEezFSQ6z+ykqPEQ+RnKgAKHmfkkGP14X/\nHP0GtY5OSXuu3ozrhs1Chk4aRNXt7sUDO17GN437AvZ1RtFo3DJlCTINloBl0RCrgJELiEjHSnRw\nU4EpG3+csgy3b3sWzU7/+f+odisMlA7LRywI+M4URWFmZhl2d9TjpMuf/eGt+r2otOQh12hJ+NhN\nRdJd/Iaivr4e5eXSNIPJCHS89NJL4XQ6MWLECKxcuRKXXXZZwvsQC0T8aozgr6kEsagRXBkSDU3T\nkjfIeAShxOrKoLTCnLydlolfqctDYq2+IS3cU6+G9et/g7G3Aq0ASuC7KmlPB8y1L6O36scpUWUv\nWNBbJGLJRhFtsKgSog2ACieU05EOtwNPHt0oqSAGAEWmTFw3dCayDdJsE0c66/GHLc9JpuoBgAKF\nZaPPx5KRc4NO16cDaqzJStwtlI7dQaYc3DP5Gvx++2q0i8Tsuyc2wcwYcOWwcwOOTwG4pHAMnqjd\nAvaU5d3BefBizXYsK5vk880ON2ZTKRWcFvRX8etyuZKWBQYAMjMz8dBDD2H27NnQ6XR45513sHjx\nYqxZswZXXXVV0vqlFiJ+NSbSG5kgdFNlyjoeQW+xujJEk6kCCCZ+ZZWlRJZfPgEuD4qEn8EC+6zr\nkbX2TwCHPt9fketWZvVTME5cASpJgXnhCPZ9YrHuCi9/BoMBDMNIxk0ocaF1UJzSfaejSG5x9uCJ\noxvR4ZHm8a2w5OCnQ2fCqjP42niex9vHNuCp7/4XkMYsy2DBrVOvwtTCUXHvYyoKmHhlABC3F1vy\n+gTwttWwefx5jF+p/hJGxoBLKmcH7L/ImIG5+cOwts1f/KLG2Ykv249jbv5QXx/UlvBNlZmQWEnF\nsRMrqRD8m5+fj5UrV/o+T548GW1tbXjggQeI+CX4EdwVBGun1n67sRJturNYLXxyy2Y0iPtOuTvA\ndB/2L+ThE7+8zghu+FlRHSMc0Qq/3qnLYP36UTC97UAzgCL48rDQ9howNW+CG7o47v1VS6ixGstv\nH8qiLewjmmnrZPh2RiuSxWIjkQ+2ut5OPHVsE3q80iwBIzIKsLxqOkyil602pw1/3fEKtjUfDNjP\nqJxy3Dn9GhRa0ivYJREIY1dp9b2RFgvum/kz3LLpCfR4/LOFzx1ZC7POiIXl0wLGyKycChzrbcdR\nR7uv7auOalSZc1Gl4jeJdiYknGBONvJnVyr0KVba2tpQUFAQecUEM23aNDzzzDPJ7oYqiPhNABZL\nn/9bovx2Y0Gp+I3Vf1OLaXzxPgzyLA8O9FlWAfDDZgNGa8zHA2IvMgEAnNEK+8zrkPXZfYAXQBsk\neVVU3LkAACAASURBVH+Z7x4GV3UFkOSbt/w3cjqd6O3tjcq6q1U2CrW+neGsyVqgxkrNcRwcDkdE\ni5xa9nU14sWa7XDKLLinZ5fgR0OmSPLMft2wFw/vehU2d698N/hB1UxcP+4iGBjyGIkV4bccmVeO\ne2f+DLdsfBIOrz8694kD7yPLYsX88qm+Mep0OkFTFC4tGoPHareg51S6Mx7AG03f4RcV02FlDCGO\nGB1qxm+yXS76o+W3rq4OgwcPTnY3Ati1axdKS0uT3Q1VkLtWAjCZTClXMCIU8huE0G+xK4MgetWQ\niOA98T71HdulC8XBbqMXRH2MWEW/vMiE3W6Hy+VC7/RrYd30RJ/1twlAAYBTPwXd/i2ok5+BL01e\najYh764YpWMg2mwUWj2sxKIxnFVOSfCT1td1pPGl1ApHURRYnsOHJ/djXfORgP1My6vA5eUTfL6i\nDq8Lj+95Fx/UbA5Y16IzYcWESzG3fHJ8vmQY+qOAicTovCH444wf47aNT8EtekF5aMer0NM6nDt4\nkuQ8ZOiMuLRoDJ5r2OVr62ZdeK/1EJafSn+WaHch4ZjJdLmQf7dUNzwpoba2FkOGDInrPu12Ow4f\n7psl5TgONTU12LVrF/Lz81FeXo5bb70VW7duxaeffgoAWLNmDQwGAyZOnAiapvHee+/h0UcfxQMP\nPBDXfmkNEb8JIJ1u2PIbhNfrRU9PT1QllaOtJhYtUsuvtLKbNNhNnfgV+y97PB5QXC/0nl3Q8Xbo\neC8ouEHxHrD0ILiNMwHKb22J5Obim+Y3ZqDnnFXI/vB2wAWgE4Bo1lK392F4Eih+Y/Hb1tK6m0ii\nEcnhrMlaoFTA2LwuvN60FzWyjA4AcHbBUFxQMgb0qbetgx0ncN+2l1Bvbw1Y9/T8KtwyZQmKLHmx\nd54QkgkFw3D3Gctx5zer4eX7BCQHHn/Z/l/oKAazS8ZJ1h9uLcDcwhH4vNnv6rW/uwkb22twduGw\nsMdK9kteLC4X4WZD+uOLU319fdzF79atWzF37lwAfeforrvuwl133YXly5fjmWeeQWNjI44dO+Zb\nn6Io/OlPf0JNTQ0YhsGoUaOwevVqLF26NK790hqKTwUP6n5ONOWJkwHP83C73bDb7ZFXDkKy/Zk9\nHg+6u7sBnkXRh6eBZkXfYy8AF8DnlMF9z5GwLgQhs1PwDlh7nkZGzyOgeVvQbVm6EK6s5WBzfwqd\neXBE4edwOOBwnAo4Yj0ofHwemJbDgAXAaOm67gs2gs/XztrGcRy8Xq8v966aW4MWv73b3b+qVkUS\nyVq5WxzrbcfrTXthZ6WWehoU5ucPx8ycclAUhV6vEy8f+wL/q90CjpeKHYaicfWoBbhixBzo6MQF\n5rpcLskMg8FggMEQ36n8VGZDwx78cevzkt+DoWjcPvVHmJg91NdG0zSMZhP+fXiDpCw1Q1H45Yiz\nUW7JibkvSjNcpIKkCOZDbzQaA8RyunH77bdj8eLFmDVrVrK7kvYQ8ZsAhLy2qYZw84q2ylwy8hCH\nw+v1wmazQdf1HQZ9Jcrm4AGwu++/7Izl8C59XLKdcB4E0RfwW/EczI63kNl9Hxi2QVFfeEoPLuuH\nYAt+Bd4cusqV4DcrkHH0c2Q+/6O+DyMBZPrX5YrnwLPgw7j5/sZi3QX8pZO1su72N/EbCZZl/S9C\nOFWe22iMOt8sx/NY33Ec69qPQb5mJmPE5cXjMMScA57nsaFpL1Yf+hgd7p6A/ZRa8rFy3KUYniUt\nWhGqiEg8A5/kpcyFUrADic/rduL+bS9JionoKAa/m7AYUwr6Ch3QNA2LxYI2lx0PH/xC4s9dYLBi\n5ahzJEGMWhJqrAYTy8kmkgU51YriLF++HP/85z9RVqZdAZmBAnF7SACpcuEAfutetDl35dPZqfTd\nhL4YFPj7Kj0POs9h5HTeBL1nj7q+8B4wXf8F0/VfeAtWgS26B6ACHz7y8+catQDW4WeDPvIV0AiJ\n+KUbvwBd+x64igtV9UWM2KrtdrtVZ+UQr6/X65OSXH2gIGRBCUU4cdHh7sXbjftwRJaPFwCGmvNw\nWdFYZOgMqLO34KmDH2B3e3XQY5xfNhXLRy6AKUjglJryvkqEMiE4cwdPAstxeHDHy+BPCWAvz+L+\n3a/gtglLMDF/uO/85RutuKJiIp477nf7anXb8cqJXbi6ciroBJxnpb+ncC9JVoYW4dhK3DqUulto\nPY6bm5ujLmNMkELEbwJI5o091gAtoG+q0Wg0pmRqNjHCW7qhbaN0gZDijGbQO2QW3DabIisn4z2G\nvLYfguFaApbxdDY4y4w+/17KAIAD3bMWFBdoOdO1PgzavgGe8ucAQ6Vkmfx88gC8l9wP/V9ngbLx\ngA1AlmhfW2+Bu+x8gFEmOiNatSMgvOgYDAa4XC6JZTIVLDcDmWAPWw/HYl3zEXzedBgeXnqtUwDO\nKxyBuQXD4fS48NLRz/FW9dc+n1Ixg0zZ+PlpizC1YGTAMrWoCXySi4p0CRTWmvkVU8DyLB7a+aqv\nzcOxuO/bl/H7iUsxudD/O03IKcPM/FZsajvua9vd1YBPGg/ieyWnJbLbYRFne0jF6nvBjh+JUII4\nXjMiWlRcHagQ8dsPkQdoqSFYsIAQqZ/qUBQF8BwMrV9LF5wqmuQpm4xeGAAFAlDHnURe25UBwpen\n9GDzrgc76HeALl+6EdsFpuN50O2PgXYflSyiHVtgOHIGvGWPg8u+xN8epKgIXz4J3LSlYLa8CNQC\nGANf5geqpxrMvn+BPf3mkH0P6bOsgHC+u4l+8Qnmt0cIDs/z2NvViHcb9qI9SFoyK2PAVZVTUGXJ\nwycntuKlQ5+hJUjwm45i8MNhZ2PxiHNhpPUhhYZW3yGSSHa5XHC73RGtyUBqzbjFg+8NmQ4vx+If\n377ha3NzXty767+4Z9oyTBEJ24vKxuG4vR0nnf7YhLVNB1FoysDk3NRLlRUJNdZkIXZF/KIvjI1U\nEclCn9SMY4/HE3YmiKAO4vObINROMashXq4MQkllu90u8be0WCwwmUzx7nbc4XkePSc2oeCLuf5G\nFsCpDEDd5/4WPef8X8jtfS4dVAdMNeeDdh+SLGczL4S3+D7AGD56GjwHuvsD6BpWgPLWByxm866H\nt+RBgNKDZVl0dXX5ltE0jZycHKCjDoY/jQPlcQLlAApFu9dlwH3pXsBc7Pvegu+2/KavBKVZOVwu\nlyQY0mAwICMjQ9Wx1BBNhpF0Ru7zK/hxRqLJ2Y236/fgUHfgDAUAVFnzsLh8Ar5u2I1XD69Di6Mr\n6HqTB43ATeMvQXlmYdDlAkr9OZP926kVF+nC28c24N+735a0mRgD7plxLSYPGuFra3PZ8Y9DX8HO\n+u/lOorGDcNnY4i1f2frkAdKyl20hLGppPpesnniiSfw/vvvo6CgAPX19Vi8eDGKi4tRUlKCkpIS\nVFRUpGThi1SHvEYkiHhaseIRqBQuMj8eJY4ThTxgz9yyQbpCt/+/ruHnShYJAXsGg8F/HthO6Ksv\nDhS+OVfDW/YEQCmYcqJocFkXwG2ZCV39z8B0fyBZzLQ/Dsp9DJ7yl0BRUnHjO9e5g8GeuwK6T+4H\nGgDkwXe1Ut4eMDvugmPav6J64Qn6vRUQ4KKRwuNiINDhduCrliPY0FItCYYSyNAZML9wJJq66nDT\nF39HuzN4hpI8UxZ+Me5CnFM2QdFYUGuFS5ZIVuvPmS4i+eKhZ8LlduM/B/z3FSfrxu2bnsYd067G\nzJKxAPr8f5dXTcfjRzeCPZUtwstzWF29BStGnoNcgzkp/U8E8jEl/+2Ez0qr7yXT5eLAgQPYvt0f\nx7J3717J8mXLluHZZ5/V5Nj9GSJ+0wS52FUbqKQm72q0JY4TQSQfZmPreukGp8Qva8mDt3R8eCsn\n74W+5nLQzm8lzWzWJfCWPaZM+IrR5cNb8Qb4tkfANN0GivdbIuieT6Cvng93xZsAAi0SAMDOuxnM\n5udBdTX0CeAK/66ZI8/BWbIE3pzxirqS6JzLsSC83AmzDyQwyg/P86i2t2N9yzHs7ToZVPTSoDAl\ntwxeZyf+sf15dLoC/dABQE8zuLBqNq4+bQGs+vjP7KgNfAomKtS6bUVDNEFPoYSysJ7WXFQ5C26v\nG88d+dTX5uG8uHvLGtwy+UpfAZKhGfm4vHwCXj6x07det9eFZ6o346bhZ8LYT6vzyZ+PsfjJJvtl\nr7m5OezyaAPgvvrqK/z1r3/Fjh070NDQgNWrV2PZsmVht9mzZw9uuukmbN26FXl5ebjuuutwxx13\nRHX8ZNM/R34KovaGGIvfJhBb+eBUE7+KfZg5Lwxt30jbTolfbtQ85OTlhT0PTOvDoHul4pnLmAfv\n4GcBKspLhaLAFvwSnHUW9CeWgPKc8C2inTthqJ4DJvd5sLrhvnae5/tmCowZcF7xb5ifugRoQV/J\n41PGGgo8svfegbbZbwdNfSZOQ6fX6+PyQNbS8iuMdyU5hoOJj3in2Eo1PByLnR11WN9ajYYQbgsA\nUKA3obv7JFbv2hCQq1fAQOuwqHImrhgxBwXmbK26rJhwVjiWZSX3H5PJ5JtFCycwtEC8b6XFGLQS\nyTzP45LKM8FQDFYf/tjXzvEc/rL9v3CwbiyqnAGgr3pfk7NbUtmvwdGFl05sx7LK6QnJAJFoIll+\ntSAeL3vBXC6amprC7i9a8Wu32zF+/HgsW7YM11xzTcS+22w2zJ8/H3PmzMG2bduwf/9+XHvttbBa\nrVi1alVUfUgmRPwmiEgDKx6uDGLBG8vFLt820eI3WuGv79oD2ivyc/AAEFwox54f9pxQjt1gmv8o\naeMsM+CpeAWgY0/nxZunwD30K+hrLgHt9FthaE8NClouQnveaniM0wH4c5t6PB6g7AxwZ/wE1s1P\nA3UA/C59MHRshaX6P+gd+jMAfS88QnCiFmno4il+hZt8NFkolARGAYnJQ6slLM/hSHcr9tkasa29\nVuK7KYcBj5Ptx7DbFjoPtYnR44KqWbh8+DnIM2WFXC+VoSgq4sxFsv05EymSLxwyE2adAY/tf9+X\nBo0Hj7/veh29HicuHzEHAPD9kjFodvbgO1ujb9u9XY346OR+fL90TKxfOeVIhvhVilqXixdffBH1\n9fV46aWXUFpaCoqi0NjYiJMnT+LkyZOoqqqKqh8LFy7EwoULAfTlD47Eiy++CKfTiTVr1sBoNGLM\nmDE4cOAAHn74YSJ+CaEJdvHJ/VW1dGVQQ6Itv7EKf0H0W05slS4Q6WDutDClgTkXdHU/lrgl8EzB\nKeFrVdWXsOiL4alaC33tUtA9n/iaab4D+W2L0Zn7CJzmRZKgJwCwzbsNhmMboG852Ff2WFSsKWvf\nH6AvmgJ68Hma3+BjFb+Cy4ogeLUeV0r2LxccoYRIoh6e3V4XDve24bC9FUcdHXBx4a8Fr9eJxs5a\ndNibwYew9Jp1RlxUNRuXDT8bOUbtAhS1IBoRo1RcCPsONTWdiiJZGJ/isT2/bAqyzBl4cOcrPt9e\nAHjyu/dh9zqx7LTzQVMUrhoyBY8cXo8Gke/3Z82HkaU34cxBQ9FfCPabpZL4VQNFURg2bBiGDRuG\nRx55BI8++iiys5MzW7Np0yacddZZksDBBQsW4I477kBNTU3cyy5rDRG/CUKYqhMLPLU5d2NxZVBD\n0PRbp6bi40UsGSoE4S8EbAn91TV/JV1RcHmoPAPIKgq5P6b5j6Bd0iACb+m/AF3obaKGyYCr/DUw\n9TfBYHve10zBhZyOn6ObvQv2jJ9Lt9Gb0XnZIyh4ahGoWndf4YtTz3WKZ2H+ehncF3wNZFTGv78x\nIs5CEdRlxd4Cy8EX0TtZmoVDsPCp8ZXb316LnR0nMDq3DEMzi5CpM0Wc0lUqbiIJ5Gimsl2sF41O\nG046u9HosOFYTxvqnaFdGsR9tjna0GprgD3M+pVZxVhQPhXnD5mGLEMcX+L6CeJAtnDGg1QSyaE4\nI28Ubp2wBPfvfgUe0QvTiwc/hc1lx/XjLoSeZnBt1XT88/B6dHtdvnXeqt8DiqIwuyA6C2I6kK7i\nV4zNZkua8AWAxsZGVFRUSNqKiop8y4j4JQTF4/Ggo6Mj8ooitPDbVILwQBffcGMVv/Gy7oYU/qwL\nVLOsuIUgfidcHHK/VO8mMK0PS3eVvUSSizdWggbpWf+CDL4Qmd0P+fsCHlm2u8GwdbBl3QVQfd/T\nYDBAP/wMeC+4G/p3bgOOARgOf+5fVxv06xbj/9l77/i4zjrf//2cMlV11IslN9mOncRxSXc6cQop\nLCGFhOwmsLsEyO9H2wsXWO5CYOFSl2UBLywkm3sTSNgNBEJJIaSQ5jg4zTVukiXZsro0mnbac/84\nGmlmNJJm1B380WteR+fMmdPmzHM+z/f5fD9f84qnQJvcGmuqyCXym5qsNl5RFc/+X1Ky/XMoTr+b\n62dBdP3HUBRlRLahadqYxM7xhrOT879uf5WoP8je3gPQe8A9FsdCOjZS2ghHogI+RaNE91PjL6XS\nV0ipN0ipHiCgevAqGh5FRRXZO4C5XKPkdbKQDDkGUdtkyDaI2AYDZpyOeJiO+CA9Wfx4J4LtWPSG\nO+gJH8Ww4lnXKfIEuLh+PZsbNrK8uO64eejb0sF0HEzpYEgH07ExpUPEimNJBwe3XLOIxEb+t6Uc\nGeoXCIRwfxICgQAUIdCEgi4UdGV4KlR0RcEjFHyKiq5MPvScK0kGshLibPfqbGBDeROfP+0WvvL6\nz4inSGQeaX6R9nAXnzjlPQQ1HzdVn8o97X/GSokS/6LtDRzb4ZzyxceFJGgivF2ivgsNb7freIL8\nzhFyKRIhhBhD8uYLiqKkEZepVJaZjqwjX+Ivul5C2CmEwACGgxv22mvHOcAoetsHEIw+BKRWh1X7\nLzkf53jI9N0dc+5CMFT4SWy1nuL+/4FgtDMQjPwYnQ7MurtR9cKRc3cu+hjOrsdQ9j3juj+klHdX\nel9He+EOrPPuzZoANxMYj/xOmqxmGhQ/+xF8nY8hVAt8IFJclqQKxft+inrmnWP2l7qtyYazo5kV\nzYRAU3VQ0397BtCJpDPeC/HerNuS0kFKBwVQhYIqBCrKCKFShYJAIHE1lhJGSJmDJOHY2FmcGPKF\naRuEo72EY30MxnqzShs0oXJG1SoubdjImdUnoSsLo1mXUmJIh4RjD78sEo5DQrrzxsjyPK7V+LLn\nKUETAr+iEVB1/IqGX9UIKBpBVcev5D+6ljkSMB4mcwOYKkk+JbSEL67/a7706n0MpXSQtvfs539u\n+zGfXXsz9YEQN1WfygMdb6QR4IeP7sCyTE4vrk87l4UiCcoVmaOIC+34poJwODyrnuq5oLq6mo6O\njrRlyWS86urq+TikaWFhtJJ/AUgO1WcO/c6VlCFfTCXpLWuEMw9kapjzuRbK0afTFwzL2szqk6E8\nu55N7foawjiYtsys/yGoJVnXHxfxKLQfxGndj51IYJTVYJTXIgtLJyWiscCN2EoVpX1/jyJHLak8\nkd+gtVyM1fBTpHe4dKmiYL7vx3i+fjaioxsCQGnK+Rz6ObJkNfYpn541ApyJwfFKRXe+Sflzf4tm\ntII+XAF6nLZbCPC9ehdmBvnNFyaSmapDKISCGI7+2sMvkCAljKOtnQlIKYkZYQajfYRjvcSMsTZl\nAsHSohrWVSxnfeUKTi5bgl+bflJmPsc4SmCdYVI7TGSlTTyF1C50J2hLSsK2SdgeK8nRhEKRqlOo\neShSPRRqHgpUfUbcEVJJ40RBjvFI8kSuNyuK6/nShtv48mv305MYTXxoi3Tz6W3/wadOvZGTSxdn\nJcC/6doLwOnF9VOWBM03SX47Rn7b2tpYtGjRvB7D2Wefzac//WkSicSI7veJJ56grq7uuJM8wAny\nO6fQdbeiV2qBiYVapzvXpLdJI5wTYLJiG3kdb8fT6QuG2/z4SVfgybK+SOxD7U6P8Nqhv0cWTJAY\nl8RgH+oj9yBe+D2idT9Kz9Gsqzn+IHblIswV64ifuZnE2vPA58oSUjs9cc9metRfEuq5FdUZ7Vkr\niR3oB87Bqv0+TsmN7sLSRZh3/h79e5cjmnvAx4j9GYD26hcQg/uwzvq3GZVAJDs2mUhdFtz2VQoO\n/BghYm50V4dc2Ki0ACcx6XqTQZGShBFBKCqqoqEukAjoeJBSYlgxYkaUuBEhbkaIxAexnXRiowqF\n2kAZJ5U0cGpoKaeULk7T8Npxk6hi5+1sIaXEkhJLOljSlRyM/O+48gPDsUemZsr8XwIs6dBrJehN\n0ccKoEj1UKJ7CWk+SnQv3hykE1NFNpKcbHNT1wkEAmlEeYWngX8558N8aft97BsYrTIZNmN8cfv/\n4YOrruIddeu5qfpUfnb09bTI+2+69iIQbCxOGVqaANMhybPhwJJ5LAv1GZsPZoP8RiIR9u3bB7j3\nVEtLC6+99hplZWUsWrSIz3zmM2zbto0//MH1kr755pv54he/yG233cY//uM/snfvXr72ta/xhS98\nYUaPa65worzxHCIZDT0eeqLRaJR4fHTYzOfzjTSwU43uzpqsw+jH80A9QqaQszcAE7o+/BSFK89K\nv+ZSordcjTI0ahAvtRqMptdBncACqmUvyoP/hvbYTxHx/PSaANLrx9p4MfK8q5EX/RUUuMkLyWut\n2O2Eem5Ft/aM+axd+gGsmm+C4jJd0f6mS4CtHljFmG6sU3oK5oUPQNEkpZgnwKTJauF2yp6+DT2y\nG3THje7mCJkALAW76FTsax6GotFSzckmKTUpNFVznvw/OZ/5cBuKR9nV2cye3jaOxPoZdBIkcLCQ\nOIorVUAIpBDIpEpUCBRFQ1VUFDEzIzCOdLBsA8s206YJKz5MdqNpMgaBoNRfQlkgRFkwRLk/RHkg\nRJm/FO9wxNE9WreQRfJ/MSz+likERqZMHSTO8PuOTM5LFhKFFTCszVXxJHW6QgHbRkWgIlCEIOB1\nkxhVIVCGl40YfElGZSjD52mmaIlNaY/qih2bmGNnLRKSL4KKRqnuo1TzUqr7CMxy4QjHcYhGR9sf\nIQTBYPaExoRt8s3tD/J0+2tj3nv30k3ctvJy9g11c1/bduwMKnB1xaqcCfBMYzo2hZmljT0eDx5P\nHo3TAsQ999xDUVFRTpZkueLpp5/m4osvBtIlZrfddht33303t99+O8888wwHD46Oju7YsYOPfOQj\nvPzyy4RCIe64447jtsjFCfI7h7BtO+9Er/lCPB5Pa2CTkdl8Ky7NZHR3PCgH7kN/7m9HF8SBnWCV\nLaPrzmcpKS1NI0jKwC/RW9+btg2z/t7R6GoKHMfBat6L93ufxrP18THvTxXSF8B5x/XYV7+f2LJT\niQ7bmwlniNLw/8Qb+cXYY/Guxqr5BrLgEnfd9jfRv3cFQumGZYw4QIzsQy/COvdHOA3X5iSDSE1K\nNAxjbMfGsQi+9i0K9v0YISLgzb3onXSAOEj8mKv+Hi76Wtp+s2kcx5PejOcAkfw/tSFP+94zSHJf\nZJBdnS20DXbREw8TthPEHRNTkTgCpKKAECiqihAKlmMNv2wsx8aRNo50cKREJv93HGxpjyZcKSqq\nUFEV1f1f0fBrPgKeAAE9QNDjJ6C7//t133HRMc4H2nBimVdR8Qp36knOK8rIMk2MlTlJKYlEImnL\nZlL3mJRvxGyLmGMRHZ5GbIuwbYwhg7kioGiU637KPT5Cug8t38qQk8C27TQ7REVRCATGH+WRUnL/\n3j9w757Hxry3rqKJT62/iS4zzj2HXk6zSgO4qGIZmytXQpbkvdl0uMgV2QixZVlpI5VerzennJuF\njC996UtcccUVXHTRRfN9KG8bnCC/c4jM4aqFCiklsVgsLfKbK5La5tnwHx4P2pN/hdr2+9EFR4Ej\nMLTp/yP8js9QVFSEpg1HY+whPPvWIqzRoUAneAHm4kfdaGCGK4X+xIMUbfkMSix7iVhwSZJdXodd\nsxjh8aJ2tqEcO5xzdNheuoahd9xE7KLrkAUleHSdIvNBtKOfRMixcgC74DLs6q8gfWtGCbDdDUtJ\nk0CMnF/Japzlt2Evuxl85enHnmK/ZxhGeoKZMYC3+TcU7PxXNKMdvBKRR7BemoABjqcea/O90HBu\n2n6zPUBnJOKaI0lORfI+zXa/9gwNsKezhcMDx+iJhYnaBiYSqQoUVUPVdHTNg1f3UuAroMhfhN+T\n5Yt4G0FD4BGua4JXJAmtglfR8CkqPkXDr2luYuAUv9N8IpwzDSklMcdi0DII2+bw1CDu5JfHIIAS\nzUu57qPc46dI9Uz7HrcsK61tVlUVv3/y++3Z9tf5+vYHSGTomwv1AB9fdz1lwQr+s3nbGAJ8UlEV\ntzRuwK+OJZATOVosJJI8XuT4eCmdfscdd3DXXXexbNnUR/JOIB0nyO8cYqGS31m3IZtNGP14HlyE\nSNVJ7gJi0PX3j2LVnkphYeFIz1/t+Ee07m+OrCrRSCzbiqEsT3OlENEwRVs+S+Dph7Lu1i6rIfLO\n2zA3XYVSvww9EEyPbEsJAz2It15Dfe63KM89gjjWNuGpSI+P2DnvxLjyVvznXIaIv4HWeguKsX/s\nuig4pX+DHfoQ9Ar0H9+A6DsEjUBonO0LDafmUpzSk7F81Rh6JaZWijAG0AabUQeb0YZa0Pu2ozg9\nCD3fIha40V1Hw666BOea/wLdM/xe+kMwNUo7H0glyNnmU/9PRpInklo4UtIT7udQbzstvR0cDfcS\nNqPEHBNDOG7HSgGEghzeps/jxz/8CngC+Dw+vJoXzzCRVmdRS5pEzIgRM2JEjShxI07UiLrziSjh\neJhwLOxOU/6PxqNoioJP8+LTPCNTv+bFOzzv1XR8mgev6sWnu+/5dC8B3Zc+9fjx697hCLgvbepR\ndeKxUZI3l+R3PCQcmz4zQZ8Vp89MELaNvIQTHqFQ4fFTqQco80wtKmyaJonEaKc4V/IL8FZ/G//0\n0j10Z/GHvrzhDC5efDY/a31tDAGu9Bbw/iVnUuGbWuT9BEmeHq6++moee+yxtAITJzA9nCC/iDn3\nrQAAIABJREFUcwgpJYYxw149U0RqkYnMiN9kEEKk+bHOZ0LBuJKH4nq6PrYVhh+YXq8XEd+Dvn9j\nmq1YtPAjDBR+Lm2b+r7XKfn6HWgdLWP2ZzatJf7uDyEveQ+6P5D7uUuJeOs1lGceRv3dfYiu9glX\ndxY14Vx6A855l6AG7kbtv2/8dT0rcALXILYPoDx9LyJkQD0jPsCzCWkAJki1FPOcr8Epfz363ixG\nd+cKk0WRk+/lqke2bJuecD+d4T7aB7s5Fu6hNzbIoBEhYsWI2QZxO0HUijMYHyJiRImaMeKWgaqo\n2V9CxcFxzSgYPkZ3Bkc6GJaBaZujL2v0/4Xe/Ad0HwHdR6EnSIHHT0mgiAJvgCJvkEJvkCJvAaWB\nIkp8hZT6iwj5iyjxF1HqL6LIF0SZYclBJizp0G8m6LMS9Jpx+q1EzmRYACHdR6Xup8LjJ5AlspoN\nmeRX0zR8Pl/Ox9wdG+B///mnvN59YMx7tcFy3n/KtTzV3ZJWCANcf+xbF29k1QQFg6aL8aQV2Yjy\nfGIiR4vU5TOFK664gueee27GtncCJ8jvnCO10ZpLTDe6C+D3+xecJdu4koez/p7w5V8AIBAI4PV4\n0A5djhYbrQJnKzV0VT6LTClh7Nn+NKF/fj/CSJd8SI+PxIe/AtfdgZgu2bcslK2Po/z6bpQXfoeY\nxEZO1i7BvupMlHU7UJQdE687VAQvgOgchGrcUsgz+VVZLuGVjoJRtAHznQ/iCdW6+57g4bRQ7pfZ\nwnT0yMmHe2qCX8Iy6Y8NEbESDMQiRIw4A/EIEStOQlq4fw4WNgPxMIPxIcLxMIPxMIOxIXcaDxOO\nD42J4v2lQBUK5cFSKoKlVARDVBYM/18QojIYoqaogtqiCqoLytFnKEnNkg69ZpxuM06PESMySXnq\nVBSoOpXDUeFibXx5hGEYaUEUXdfzjgg60uG/9z/DPbsexcrwx1aEwo0rLmFQ8dIaS48QC+Cdtau5\nsGL5vP6mJyLJCymvZqJkvVQ7z4mupeM4vPOd7zxBfmcYJ8jvHCPfKOt0MN0iE5n2ZiUlJQvLNmYC\nyUP3+3+F2XA64J6LZ+ghSvs/kvbxvtIfEvdfPTLve/43lHzzIwgrXZriLF2D9cX/g1y6ZubPoasd\n8ci9KI/cg9bZOvn6a0HeqCPKJpDPSOAwsAPowvUCLse1RcsHEkgMJ6s5IPVyhlZ/msjqW0ZWSW3E\nUxv4ZAcpX7/mtzuSv6lk8mtmck4qhBB4vd4J9cgxI8GxgV76IoOEE1FihoElJUJR8Xi8BHwBfH4/\nusdD1IwRTkQYGo4oDyUiRIZlDxEjSjQ5TcSImXFiZoyYESdmxombCXfejGPlqXtd6BAIKgtC1BSW\nU1tUSW1RBYtKqmksqaFh+BWcooY7Zlt0mzG6zTjdRiznYh5eobryCI+fMt2XVnFwJt0M9vW38dVX\n7qd1qGvMe0uL6ji1fj0Ho/1j3ltbUsu760+lYA79pXNBpk4cGGMDt1AjyZlt6J49e+js7MTv97Nl\nyxYefvjhE23pDOIE+Z1jmKaZU8GIqUDKmSsyoaoqAwMDadtISxxbABhX8lC5kq4P/XHE4UA4YSo6\nz0d1jo2smvCeT2/oZyPrBJ98kMLvfnJMFNZ+9wex7vzf4J29BCbHcejv7cXz+p8IPPZTfFsfHUPA\n06AAG4HTgdVM7NZt4VaDawO6cas1aIAH14NXH14mccM6qrt9KUEqPpyKzdgXfhtK3apPQ0NDU5Lu\nZBJkRVGykua3K5IP3ORvM5c2IBnRm64eGWAwFqFzoJe+SJhwIkrcNLGlRKgqXo+XgL+A0sISQkWh\nSS0ITdsiYSVImAliw9OElSA2PE2YCeKWQcJKEDcTJFL+j498Lk7CNIibceJWgpgZd8l3wtUcx60E\nRpbCE/OFUKCYhuJqGktrWVJax5JQPcvK6llSWkcoUJzTNhwp6TXjdJkxOo0YsRyjwgqCMt1HpceV\nR2BYadHN6Vp5xS2DH+18hEcOvZj1/TMXnU5c9Y2h7QHVw7vqTmZ9af2C+e1mOmHkqhNP1f5PRpTn\nCp/73Oe45557RuZ9Ph81NTXU1tZSU1PDddddx0033TRnx/N2w8JhMn8hmOlGIlPKkM+PczIbsmwl\njhcSlEMZyWh97iSy4X1p1l4F4W+mEV+Jh4Hif0Yf1i37f7EFz/c/M2b75se+jXP9h2fl2FMhhABF\nwVh3Aca6CxADPZTteB7lT79G2fYkwsiQyjjAy8OvAHAaLhlugjEVPTSgYfiVhMQlxRYwAPSCjAKW\nhqOvwDn1ozhr3wfDCVdSSuTwA2A6mfvAhB2y1OhHNrJ8PGRlpyLZGU12SHP9bSYdU3w+30gUPRvG\nk1qkXuPkdxb0+FhcXsOSitpxSbKUkv5omM7+HvqiQ4TjrtbYHo4ke70+gv4gJYWllJeUUeCd3eQz\n27GJmXEiiSgRI0o4ESGSiNAXGaAn3EN/pJ+BWJihxBCRRIQh003cG0xEGIiHiZixyXeSI3qjA/RG\nB3jt6N4x75X4ClkaqmdpqJ5lZYtoKm+gqbyRxaW1eFJ0vIoQlHv8lHv8rApIIo5FlxGl04jRZ40v\nh3OQdJkxuswYRKBA0QgJnZDiITgDntQ+zcP/v/Y6Tq9cxbdf/Tn9Rrq93NbWbZQGy1lccRKpv96o\nbfDTw9v5c18b76lfS8g7c0V1porM31iuI5XJazhZx28uSXJnZ2fafDwe59ChQxw6dAiA1atXT3sf\nf8k4EfmdY0zX63c60d18i0xkRvkCgUBeiRWzASlday4r0k3JIysRMl3y4Fh+Oj/5KtLnFqvQzJ2U\nd12GSLH0N8o+hVP9RZdY/Ow7aN/7n+n7UFWsz/wQ54r3zck5AfT29qbNl5aWulG9yCDyhUdRXvg9\nyt5X0VrfGl8jLIBioBKoGH5puJFda3hqDK9XCrIApFKL03A19tqPQfmSkU1NNCQYi8Xy7mjNJCYj\nyPMptRi5P4d/o7lCUZSR3+ZMa+pn2h9ZSklPeIDOgR56o2GG4lHiloklJcqw3KIgUEhJYQkVJeV4\n9PkpMDAYDXO4u5WjfR30RHrpj/YzmBginBhiID5Id6SPY0M9dEX7ZmX/qlBYXFrLstAoIV5VsYSm\n8gYCGTIKw7HpHo4Id+Uhj/AgKNf9VHoDlOl+9GnK0vriYbbs+DVPtb06dl+aj2VVJ6PrY0fBPIrK\nFdUnsali6YyUf54qppsMOFOYCZJ8zTXX8Morr4z7/pYtW7jjjjumdHw/+MEP+MY3vkFHRwdr1qzh\nO9/5Dps2bcq6bnNzM0uXLh2z/NFHH2Xz5s1T2v9CwAnyO8fIl/xmDpfOZZGJ8aq8zTVSo9vJ8/e3\n/hclr310dKVhyUN03XsZuPZb7jLpUNb9LjzmaAMi9UaMpldBCaD84ofo30rZBiB1D9aX7sc572rm\nEn19fWkNYSAQwLISOE4zqrofVT2Aru9Gi7+B3rwX8ZYF7cDg8GsAt6Szjuv1m3yV4Do/1APFILuL\ncOJnYdf8DfKUd0FKByhfd4bUhjzbNFvhirlELgR5pnyFp9IZTf42NU2buWqH08BM+yPbtk13uI9j\nA730Dg0ylEiNJGt4PV6CgQJKi0qpLKnA552fjvVgZJDmrsO09R6ha6iLrnAPXdEeOod66Iz0cDTc\nNeM65/qiSprKGmkqc0nxyvJGmsobKfQFkUCfnaDLiNNpRnP2Fh71FHYLbEzHU3hHzyG+/8bD7B/I\ndKURVBTXUV3SiMjipLEoUMJ19WtZFCiZ0n6ni5lIBpxLJH9T2UjxZz/7Wd58803a2tro7u4e47v/\nq1/9imuuuSbvfT744IPceuutbNmyhU2bNvH973+fe+65h127dmUtoZwkv4899hhr164dWV5aWnpc\nFw85QX7nGLl4/SajR/noA5OYySITmVXevF7vnPhsJqPbybK62c4/9NJ78XY9M7pg2OWh54OPQuNG\nDMPAH7mPkoFPpX3ObPgFTtGVKL/5T/SvpveapS+A+bX/Rm68eDZOaxyYQAuRyBuoaguq2oymJaeH\nEGIa7iBhkNt0ZMdq7IJrcdbdDpU1I2+nkpvU/2cy6pgt4pGNIM93FHm8afL3k3pNpqLfTSIZ3Z1v\ni8CpYqb9kQFMy6RzoJdjAz30RgYZSsSJm+lyiwJ/AaGiUipDlQR8c9sBtx2bY+Eu3jp6gINdzRzu\nbad94Cgd4U6ODHZi5uHoMBnqiypZHmpwSXFZA03li6kP1TIkoMc2CDu5Bz88QqFM91Gm+wjp/rzL\nLtvS4bGWl7l71+8ZyJBCeDQ/9eXLKfBlJ7mri6rZXL1yzknw27G0cZKoBoNBjhw5wtGjRzly5AgX\nX3wxNTU1k28gA2eeeSannXYaP/zhD0eWrVixgve85z185StfGbN+kvxu27aNDRs2TOtcFhJOkN85\nhpRjvX6TOr2FVmTCMAyGhkYrm+m6TmFh4YxsOxPZorvjQRvcTcUzl6Qv3AV2+XrMf3gegMGu1ynv\nugRFjjbaduFVWI3/jfL4A2h33Y5IfWB7fJjffBi54cIZO6dR2EALirIPIfYixF7gIEIcRIhWhJgh\nLfURkFsFsn0pjn8zzpqbkWs3QArhSCWfqZhvHW0uBHk+NeeppC3fzmgq4Z3v6zxXmI4/cvI7z3TC\nsByHgUSYYwM99A+FGUzEMCwLW0oUTcPr8VEYKKSsOERlqBL/LCapjpyndDg22EVLbxvNPa0c6G5m\n/7GDtPS10x3pnXwDOUAgqC+uYnloEasrm1hZv4pQcRW2x0M+vwi/oqWQYR/eHIuoDBkx/u/ex3n4\n4PM4GbZ5oYJqakJLUJXsxPqkoio2V6+kIVCax5FOHfF4PO35+XYobXzFFVfw7LPPzkhn2TAMgsEg\nDzzwANddd93I8jvvvJMdO3bw9NNPj/lMkvwuWrSIeDxOU1MTH//4x9M+fzziRMLbHCPZ2Ccb92R0\nM58+iKIoaVKG2YogjaliNYPkI1W7bBhGXtsuOPjv6QuGgBg4m/7Ovb7Sobj/42nEV4ogVs03UZ5+\nGO3LH0gnvpqO+dWfzxDxNRBiJ0JsR1FeRYhXh+fzLxU9ITqBN0C+ArJzMU7xpTgbrkFecA5kROfz\nlTPMB1KT3SZCLgR5Nvrz+d77iqKgqiqqqo5EkGcjsr5QkWublJoImZSNjHetvbpOXaCKRWWj0a5s\n+4nEoxztPUb7QB99UTeSnLAtHEBTNXy+AIWBQipKK6gsrZiWJlkRCjXFVdQUV3HWkvSoWCQRpbmn\nlYM9LRzsHn219h0ZQyIngkTSOtBB60AHTx3aBlvd5bqqc/bSMzh96UaWVi8j4J84MBFzLNoSQ7Ql\n3IBGQFEpUb2UaB5KNR8BVcuqly/w+PnQKddyZeOZ3LP7UZ4/Ouo13jvUwWCsl7rQMoqD6aXTAXYP\nHmP34DFWFVayuXoljcFxyk/OEBZap34mIKWcsWd8d3c3tm1TVZVeqKSyspKOjo6snyksLORb3/oW\n5557Lpqm8atf/Yobb7yRe++9l1tuuSXrZ44HnIj8zjEcx6Gnp2fBRHcnguM49PePejwKISgtnXoP\n3nGcEbKfr3Y5ef5esxPfw2sQMuX6HQCZKMa46yB4g6g930c7+sm0zxvV30XsrUf77I1pNmJSVbG+\n/DOc8/PXTrmwEeJVFOVpFOUphHgBIWYuy5xuYC+wZ/j1BjjxFcg1F+OcfwHO+edDWVnaRzKJ7l8S\n6YKxUovxdMkLRWqxkBL25gpTkY74fD40TZsRPbKUksFohKN9nXQN9jIQizCUiGPaFlJR0HUPfm+A\n4oJiKkMVlBeXzxgBiZsJWnpb2d/VzMHuFg50NXOguzlvUpyJsoIyTll0Cic3nMzJ9Wvw6vlpqD0I\nChWdYkWnSNUpVHS04WdN6qst0sV/7X+GJ1u3pxXIKPCXUlXSQNBbNO4+FgdDnBFqYG1JLb4cK9rl\ng2g0mnYv+f3+BaGnnyoSiQTvec97skZkp4IjR45QX1/Ps88+m5bgdtddd/HTn/6UPXv25LSdO++8\nkz/96U+8/vrrM3Jc84ETkd85RrbiEeOtl6rdnY+HYeY+kw+cXI9lus4UyRLKqeev7vhBOvGNA/1g\nn38LeIOIxD7Ujn9M21bCewHOW4vwfS6D+CoK1v/6zykQ3yiK8jiK8ksU5TGEGGsCnxeOAAeBA8Ov\n5P/7QPYpyLVrcc49F3nuuTgf3QQVFWM2MRHhfbsTqUyknvNED74kAUvakdm2PSeEOClzmgy5EOTj\n6bvNlHfleq0VRRkZvp6sElZyP6nzmdZvMOz/6vXRVNPIitrFI/vJts3eoQGOHn6LrqE+wvHYcCER\nx9Uje3wjSXtVoSoK/JPnRPh0LyurlrOyanna8riZGJZOHGJ/V/MIKW7rO+qWq54EPUM9PL37aZ7e\n/TSqorK0cikn1Z3ESXUnsbxqOdokml8DSY9j0OMYYLkJdAGhUig0ChSNQqERECplSgF3rHgn1zee\nxyOHX+KxtleI2wZDsT6GYn0U+EqoKmkk6BtLgpsjvTRHenm4/U1OLa7l9FADSwvKZswhIvPZejz9\nPrKhvb2d+vr6GdteeXk5qqpy7NixtOXHjh3LSz98+umnc/fdd8/Ycc0HTpDfeYDH4xmTuQlji0zM\nN5IP19SHlOM4Ex5bMppjGEbedliTRreNftS3fpK+7BhIRcM5/8MgbbS2v0PI0cirIwqJdtxMyT/d\njDDTtdbWZ36I847rczy6BIryWxTlIRTl9wgRnfwjqehiNHq7B9iHS3APASmBYunzYaxfj9x0Dspn\nz0eedRYUjX2ITKSlPN5I0Vwj2SnL138XGJExJLczF1KL49kbObUDnE97MBUnjEzyOhP+yAAlgUJK\ng0UTJu1ZtsWx/h7ajjbTk0zas0wcKVE1HZ/XT1GwkLKScipKyrMSUZ/uZVX1clZVp5PimBnnUPdh\nN0rc3TwcMZ6YFNuOzb6Ofezr2Mev//xrPJqHFdUrRshwY3nj5BIjICJtItIGx028VYCg0AgKlaDm\n4d3LLuLaxk080baN37ZuZdCMMhTvZ6ijf5gENxD0jS0CYjg2r/S18kpfKyFPgI2hRZxWUkelt2DK\n92q2e+t4bwfb29uzOjBMFR6Phw0bNvD444+naXafeOIJrr8+12chvPbaa9TW1s7Ycc0HTpDfeUCS\n/E7HhmyukFnoIlvSynSiu7qu4/F4ctIuq3v/A2GNJuBhAj3gnPd3yMrlqMe+hBJ7Ke0zkcjtFH/h\n44hEuhTB/NT3cK68NYdj3IWi/Ceqej9C9OR2Yu3ANuDPw6/twLHsq8qqKpzLzsbYuJHIunWYJ58M\nwwUOMm3ljgftbq6QUtLXB4WFoOuzd/ymKRkagqIiZyTqmI/kKDkCkyRhE9m+5WL9NtNI3e9EmEtv\n5Mw2IVdomjbSAZ5NJ4x89cjjkeQ0OZGEquIyakpHR2WylqNOxOnoPkrnYB8DsSGiRgLDtkER6LqX\noC9IcWExFaWVFAYKAPDrPlbXrGB1zYr0bZlxWnraONDd7JLjnhYOdbfQ0ts2xprNsAx2tO1gR5ur\n1/XpPpZVLaOpuokVNStYWrkUrz65JZgDhKVFWFojhBhgad2p/EPdWlr6Wth+bBdvdO8bIcFBXzFV\nxQ0U+LM7P/QaUR7v2MvjHXsp1f2sCJazqrCSpcEyfJo+RnYxHt6OQYDW1lYaGxtndJuf+MQnuPXW\nWznjjDM455xz+Pd//3c6OjpGPIM/85nPsG3bNv7whz8AcO+99+LxeDjttNNQFIVHHnmEH/zgB3z9\n61+f0eOaa5wgv/MAr9dLSUnJcWF1lK3KW6bv8IxGd8eDHUfd/f30ZZ0gvUVYl30WZeBhtK5/Tnvb\nSKwn+Jn/QImnE1/rY9/CufZvGR8JFOW/UdUfoShbJz+2buAp4Engj7hR3XHgNDW58oVzz8U55xxY\nuhSEwIjHMVNs5UzTJB6Pj2n0M6fHKzo6BK++qtDY6LBmzcxuO3XYe/duh337JKeealBZmVvHbCpR\nx+km7GXqk2caSdI2Wed0qt7ISflIvp2LhWz9NtMkGUBXNRaVVdNYUTvuPlw98hAd7QfpiQwQjseJ\nWwaW46CorqtFQbCQUFEpTRVLxkSKTduire8Ih3oO09zTSnPPYQ71tHKo5zCD8TAAcTPOzrad7Gzb\nCYCqqDSUN9BU3cSyqmUsqVhCRdFYedV4iOMQB0pK67m4tJ6zzfPY0/kWuzv3cHSok4PxN/FoPkoL\nqigtqMKjZSfafWaMrf2tbO1vRUWwJBBiRaCMJYFSyvUgSpYRjeT82zHZra2tjXPOOWdGt3nDDTfQ\n09PDl7/8ZY4ePcopp5zC7373u5EIc0dHBwcPHhxZXwjBl7/8ZVpaWlBVlZUrV3LPPfdw8803z+hx\nzTVOJLzNA3Lx+l0oiEQiaRVzctUsJzFTvsPKWz9Bf/Ejowts4E2wrvwSznlXoB+8AOGMujs4ThHi\nczFEb/p1tj78z9i3pCfDjeIYqvofqOp/IMQ4odok2oD/Bh4CXoDxPIecVauQF16Ic955OOeeC9XV\nWddLJBJEIpGs76Xi7ZIsNTAg2blTYdEih0WLZi7iGIlYbNsmKCgwWbHCoKND4/BhhVWrLIqKxr9v\nFxIJy0zYG48gL4SEvanIPhb6aNdsYLr+yEKINEeM5DYG40MMJOL0xwYZiruuFhKBquv4vX6KgkWU\nl5RTEChwR1uiAzT3ttLS08rhvnZaetto6W2jtbedeEaJ5UJfIUsql7CkYgmLKxezpGIJxYGxEobJ\n0BPtZXfnXg72HqIr4o6eFfhKKC2oojhYjpKlWEY26EJQ6y1kqb+MBn8Jdb4ivONYrCWRDLBkEub5\nlgPlio9+9KN88pOfZM1MRwhO4AT5nQ9IOdbrd6EhSdBjsVjew7Wqqo4kq82IM0WsE8+v1iMS3aPL\njoGM1GN8+ik8rZcizOaRt6RU4dsS8Vb6cVt/+7+wb//smM0LsQNV/Q6K8nOEmOB76QPuA+4HXoZs\ncjunuhp56aU4l1yCc8EFkEMSQfJ+yIX85oLMiEg2krwQGv6ZcKHI1JRGIoLnntMpKZGcccb432Wy\nU5Ycap/oGBIJSTjsmmrM9zVLRTaCnI0sLwQkrd+SnYvjMWFvLpBKipPR9Iki9slkwMn0yJ0DfXSF\n+0ekFqZ0EMJ1tQj6CygqKMJRoX2gg8N97bT1HaF1+NXWf4ShhNs2lQZLWVS2KO1VXVydc4dxMBGm\nubeFg73NtPS34iApCVRQHCwj6CvJmQgPXyQKVI0aTyGLAyHq/SVUegoI5OEikS2CnLksud584Lrr\nruOhhx6aNX/9v2ScIL/zgIVIfjMzsfMZupyp6O44B4b2zM2oLb8cXeYAO8C88UeoFfejRJ5J/8j9\nIJ5N38zQ392FfltqtTeJEE+hKP+Cpj0x8TE8CfwE+CWuu0TqVlTVdWK47DKczZuRJ58MOTSUmUOk\nbtQyMqdkZbyKZgvdTWCyIfZoVEHTHDILOyX1uwMDGgMDKkuXgqZNfH5SSl55BQ4fFqxcKVmzZuER\nYJj4mHIhyPk8BgYH3d/3RJH0XHG8dNTmCvnqpb1eb5r9W+p2YDSKDOnEOKse2UjQOdhLT3iAcCJK\n3DSxpARFwcJh0IowZMXoSwzQ3t9Be/9R2vs76I30UVlSxaLQImpLa6kpraG2tHZS2YTl2LQNtHOo\nt5nWgXZ6on0EfcUU+kspCoTwaFMrd61KSaGqUeUpoDEQosEfosJTgC/PCnepmIgkp462zfR9evnl\nl/P888/P6DZPwMUJze88IJuLwnxgOtrduUrWU1oeSie+AEfAqVqLUvM0ykA68eWZdOIrhWDgI1/H\nuPKvKQakNJDy5+j6d9G0N8bf8SBwD/A9YH/6W7KgAGfzZpyrr8a5/HLIwfs404Ys04pMCEFBQcGI\nyX82kjLT98tMuAlMFhmJRt2oaWXl9B4Mtm2PkILJdKuBwCgpS71Pk4Um9uwRHDmiUFhojwnM27ak\npwdCoVFiXFYmeeEFlaEhSX29Q0keFVtnIro9HgxD8tJLCsGgZP368S0IhRCTapcztarJ6528RwxD\nEA4rFBY6/OlPHhQFLr00gaZN757MN2HveJf7ZMNUEgSFcK0gU6O+2ZCXHllRqSupYFHILYAwXhBj\nMBaha7CX3kiYoUScqJGgNzFIb2KQQSNCd2crB1p30Rvtx5QOuu6lqriKqpIqqoqrqCyqxO/xoykq\ni0sbWFzaAEDCMjga7qB98AhHBo/SGhsk4C2kwF9CwFs0bhW5TNhC0O/Y9McH2BsfwLXUAce2ENKm\nQNGp9RWxKBCiMRCi2leMb5Jtp7a/ubaXExHmE5h/nCC/84T5IL/Tie4mIYSguLh4bnSRsU60lz6a\nviyCK3m4oQR14Kfp7+0DHhydlapG/ye+S/z8d6HIQUzzR/h8/46mtY+/z/3Av+ES33DKtoqLca66\nCue663AuuQS8k2dGj/dgH68BFMIthTvR9ua6ulmu5CSTmNi2oLtb4dAhldZWlYsvdqirG7ttyE4M\nk/dqkhTkExFPlTNku09XrJCUlTmUjy1Ixb59sG2bwsaNDied5B7b4sWSK6+0iEYVCgqy7zMWk3R0\nQH39qHtFLCZ58UWF8nKHNWts2tsVDAOWLZu+1CMalezcCbt2QUODIKsGJ0+kXu/M+2j3bp29e1Uu\nuMCkocFBCFBVOUb/O1tSi1TCNhGOF29kKWXe7XDqCFuucrJc2ul8/ZEDupfF5bUsqRhfauFISe/Q\nAN3hfvqiYdoHuzk21Etn/z7eSrxKHBOh6qi6jsfjo9BXSEVRBeWF5SNk2JEOXZFuOsLH6Bzqpjc+\nSNy28HmCBLxF+DyBMfud8FqoGqARAfYZQ+wzhqD/8PC5WjiOiXBsPFLQ4Cvm9uUX5LX95HXKtzOX\nSZAjkQi6rmMYBsXF+WusTyA3nCC/b3OkNrKGYeQd3dU0LS3hDXLPgp4utK0fQyRS7MUteSq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a4fHJommMDhbMpoa4Pnn1fZsMFiaEhQVyeprMx+XlJKdu9WaW5WWL3aGpPotWqVRNdtamtdEuPx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\nISHN2hl1V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u4tWLpUZ9o0gyFD6rcvLhY8/bSdkSNN5s41OXMGNm4EtxuOHFGYMEHQp4/F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\nREdHo7y8HKNGjWK7POIAPD09ERISgpCQELZLIYQ4ocH3Nychg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7kfr1WtgPvutfx1K3B1lv/Rwd318DT+4ceLKnw9K+2788q/oZ+ErWAugbYMSS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\nC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2efdXL55T4uvRRSU2UlteBg+NvfHNx0k8GUKR6WL9dYtkwnJcWiuFjhl7/0kJCgEB6u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\n4YcfbOqEukgkQlZWFoRCIZRKJTIyMhAREYHKykqMHz+e6fKIB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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -614,12 +616,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As beautiful as this is, it is perhaps a bit hard to get useful information. For example, it is not easy to tell if $x$ and $y$ both have the same variance or not. So for most of the rest of this book we will display multidimensional Gaussian using contour plots. I will use some helper functions in `stats.py` to plot them. If you are interested in linear algebra go ahead and look at the code used to produce these contours, otherwise feel free to ignore it. " + "As beautiful as this is, it is perhaps a bit hard to get useful information. For example, it is not easy to tell if $x$ and $y$ both have the same variance or not. So for most of the rest of this book we will display multidimensional Gaussian using contour plots. I will use some helper functions in FilterPy to plot them. If you are interested in linear algebra go ahead and look at the code used to produce these contours, otherwise feel free to ignore it. " ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 10, "metadata": { "collapsed": false, "scrolled": true @@ -627,9 +629,9 @@ "outputs": [ { "data": { - "image/png": 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Crr32WmQyGQDAY489BgD4l3/5F/znf/4nAOA1r3kN3vnOd84///bbb8fOnTuxdetW3H33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\nO+TLPVC87GcyAsfP9eLj/jOoDytQXRycASO3bf3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55JOhKAoeeeQRPPTQQ1i3bh3uuecexOPxZX5ERHQkV199NaanpwEADz/8MADgX//1X/Ff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\nF7+IW265BbfffvtA697JuN3U/corr8B1XZimifvuuw/f+973cMMNNwy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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -637,35 +639,8 @@ } ], "source": [ - "import matplotlib.pyplot as plt\n", - "import stats\n", - "\n", - "set_figsize(y=4)\n", - "\n", - "P = [[2, 0], [0, 2]]\n", - "plt.subplot(131)\n", - "stats.plot_covariance_ellipse((2, 7), cov=P, facecolor='g', alpha=0.2, \n", - " title='|2 0|\\n|0 2|', axis_equal=False)\n", - "plt.ylim((4, 10))\n", - "plt.gca().set_aspect('equal', adjustable='box')\n", - "\n", - "plt.subplot(132)\n", - "P = [[2, 0], [0, 9]]\n", - "plt.ylim((4, 10))\n", - "plt.gca().set_aspect('equal', adjustable='box')\n", - "stats.plot_covariance_ellipse((2, 7), P, facecolor='g', alpha=0.2, \n", - " axis_equal=False, title='|2 0|\\n|0 9|')\n", - "\n", - "plt.subplot(133)\n", - "P = [[2, 1.2], [1.2, 2]]\n", - "plt.ylim((4, 10))\n", - "plt.gca().set_aspect('equal', adjustable='box')\n", - "stats.plot_covariance_ellipse((2, 7), P, facecolor='g', alpha=0.2, \n", - " axis_equal=False, \n", - " title='|2 1.2|\\n|1.2 2|')\n", - "\n", - "plt.tight_layout()\n", - "plt.show()" + "with figsize(y=5):\n", + " mkf_internal.plot_3_covariances()" ] }, { @@ -685,7 +660,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 11, "metadata": { "collapsed": false }, @@ -694,7 +669,7 @@ "data": { "image/png": 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HX0FG3atgsl7Coak67A4rxYbe6o02YzxwqMgiHN+Ntd05EdF80HalutFo4Omn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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -702,10 +677,11 @@ } ], "source": [ + "from filterpy.common import plot_covariance_ellipse\n", "P = [[2, 0], [0, 9]]\n", - "stats.plot_covariance_ellipse((2, 7), P, facecolor='g', alpha=0.2, \n", - " variance=[1, 2**2, 3**2],\n", - " axis_equal=True, title='|2 0|\\n|0 9|')" + "plot_covariance_ellipse((2, 7), P, facecolor='g', alpha=0.2, \n", + " variance=[1, 2**2, 3**2],\n", + " axis_equal=True, title='|2 0|\\n|0 9|')" ] }, { @@ -769,7 +745,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 12, "metadata": { "collapsed": false }, @@ -778,7 +754,7 @@ "data": { "image/png": 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ail6TLiIiKYe3tzctW7Y0dwqdPXu2GdBXrFiBu7s7cXFxdO7cmbVr11oF9IUL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\n2xMTE1WnTh35+vpq7969dqwQAJwfK+kAABulS5fWvHnzFBc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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -786,9 +762,11 @@ } ], "source": [ + "import matplotlib.pyplot as plt\n", + "\n", "P = [[4, 3.9], [3.9, 4]]\n", - "stats.plot_covariance_ellipse((5, 10), P, edgecolor='k', \n", - " variance=[1, 2**2, 3**2])\n", + "plot_covariance_ellipse((5, 10), P, edgecolor='k', \n", + " variance=[1, 2**2, 3**2])\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "plt.show()" @@ -803,16 +781,16 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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8+fP/w2crhHif5NpKert27dBoNJnuf/369WyMRgghxLtAURSSkjRcv67w8CE8eAB37hiQ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\nRKRkWKQTERERESmZ/wMQSBI5dlm+3wAAAABJRU5ErkJggg==\n", + "image/png": 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IMpMmTWLy5Mlcv36d0qVLZ3c4OULjxo25ceMGV69eze5QhBAiU8ntLkIIIYQQQhgZSdKF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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -820,17 +798,7 @@ } ], "source": [ - "P = [[4, 3.9], [3.9, 4]]\n", - "stats.plot_covariance_ellipse((5, 10), P, edgecolor='k', \n", - " variance=[1, 2**2, 3**2])\n", - "plt.xlabel('X')\n", - "plt.ylabel('Y')\n", - "plt.gca().autoscale(tight=True)\n", - "plt.axvline(7.5, ls='--', lw=1)\n", - "plt.axhline(12.5, ls='--', lw=1)\n", - "plt.scatter(7.5, 12.5, s=2000, alpha=0.5)\n", - "plt.plot()\n", - "plt.show()" + "mkf_internal.plot_correlation_covariance()" ] }, { @@ -1003,7 +971,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 14, "metadata": { "collapsed": false }, @@ -1034,7 +1002,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 15, "metadata": { "collapsed": false }, @@ -1051,7 +1019,7 @@ "data": { "image/png": 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6ujoi3g/UX/3qV6Oqqip+//vf97v1Q6gGStWMe5/sud6/dkEBVwLAYDtXqM75h4o1NTVR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\nkFANAAAJCdUAAJCQUA0AAAn9P0FRzk3Vz5CbAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1061,7 +1029,7 @@ "source": [ "x = [[1, 2, 3, 4], [2, 4, 6, 8]]\n", "cov = np.cov(x, bias=1)\n", - "stats.plot_covariance_ellipse([0, 0], cov)\n", + "plot_covariance_ellipse([0, 0], cov)\n", "print(cov)" ] }, @@ -1076,7 +1044,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 16, "metadata": { "collapsed": false }, @@ -1085,7 +1053,7 @@ "data": { "image/png": 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tOCK7w6nR/TqrVXiw2dEAADWEUg0ALnA6nRVbkt+TFK3/LPtBXlaL/jLqJpOT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\nAC76/6J/ufuQYyGBAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1094,7 +1062,7 @@ ], "source": [ "x = [[1, 2, 3, 4], [2, 4, 6, 8.4]]\n", - "stats.plot_covariance_ellipse([0, 0], np.cov(x, bias=1))" + "plot_covariance_ellipse([0, 0], np.cov(x, bias=1))" ] }, { @@ -1106,7 +1074,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 17, "metadata": { "collapsed": false }, @@ -1115,7 +1083,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1124,7 +1092,7 @@ ], "source": [ "x = [[1, 2, 3, 4], [-2, -4, -6, -8.4]]\n", - "stats.plot_covariance_ellipse([0, 0], np.cov(x, bias=1))" + "plot_covariance_ellipse([0, 0], np.cov(x, bias=1))" ] }, { @@ -1150,7 +1118,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 18, "metadata": { "collapsed": false }, @@ -1159,7 +1127,7 @@ "data": { "image/png": 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XqiQWM9hzit239E3FNo5pzsSJE1nt9PR05OXltft87RE8HeA3yTbSsuhhUUJa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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1224,7 +1192,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 19, "metadata": { "collapsed": false }, @@ -1233,7 +1201,7 @@ "data": { "image/png": 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7MxnvQNLp6E2R05mlypIcu6MAsAFFGkDMKotzzo939FCkkVw63rUiDSD5UKQB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\nRK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1242,7 +1210,7 @@ ], "source": [ "P0 = [[6, 0], [0, 6]]\n", - "stats.plot_covariance_ellipse((10, 10), P0, facecolor='y', alpha=0.6)" + "plot_covariance_ellipse((10, 10), P0, facecolor='y', alpha=0.6)" ] }, { @@ -1254,7 +1222,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 20, "metadata": { "collapsed": false }, @@ -1263,7 +1231,7 @@ "data": { "image/png": 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PXj9FTeni/8GqNC9+sb2jfyzZpYhIEihIi8iMdfjGiMenKFOQToo2n4tf7Cvi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\nwNCIWYbJAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1272,8 +1240,8 @@ ], "source": [ "P1 = [[2, 1.9], [1.9, 2]]\n", - "stats.plot_covariance_ellipse((10, 10), P0, facecolor='y', alpha=0.6)\n", - "stats.plot_covariance_ellipse((10, 10), P1, facecolor='b', alpha=0.6)" + "plot_covariance_ellipse((10, 10), P0, facecolor='y', alpha=0.6)\n", + "plot_covariance_ellipse((10, 10), P1, facecolor='b', alpha=0.6)" ] }, { @@ -1285,7 +1253,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 21, "metadata": { "collapsed": false }, @@ -1294,7 +1262,7 @@ "data": { "image/png": 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+efPvGJrIE/Gn+cq7/4cTWwdmZWzLgq/d8Sb6J2rx2r2cf1qQt13QzImLFn6b\nj8/jIJXPks4VFKRFqpCCtIhMWzpXwDJz+BSkK2Lb/iyfunmIRNakMRzna++5kY76sVkb/0ePvooH\nd63Cjp3XrGjgtadHWXdK/ayNX0l+j4NENkcmpz5pkWqkIC0i02JZFtl8CdPK4fcs/BnIueZnvxvg\n724cJFOw6Kgf4WtX3URjJDFr4+/sbec/77kEgNXtjZx/eoB3XrgwFxe+GL/XgWnmtOBQpEopSIvI\ntGihYeX8z6+O8LH/fIpcwWJFax9ffvfNRPyZWRs/nvHxj7dtxDAdtIajXPqaIB+4fDEup33Waqg0\nLTgUqW4K0iIyLVpoWBn/9uMDfPbG3RQNi9OXHuBzb/8Bfk9h1sY3LRtf+vFbGE5ECLi9vPG8KB98\nQyfhKjuQRwsORaqbgrSITIsWGs6+z9+8h/932z4MEy5Y9TSfuuJ23E5jVmu45eFzeXR/Fw6bnctf\nXc8H39i5YI7/fqV8Hgfp/GR7h4K0SHVRkBaRackXS1hmAberet7OrxTLsvj0t3dx3R0HsazJg1Y+\ncvldOOzWrNax/dASvnPfhQCcd1I9f/HmJSxrDcxqDXOJ120nmSuQL5QqXYqIzDIFaRGZlmLJxKKE\n26mZuJlkWRZ//62n+cbPDgPwrnMf4v0X/XpWDlr5Y4OxKJ/74UZMy87K9ggfeVsnpy2Pzm4Rc4zT\nYcc0SxSNmT85UkTmFgVpEZmWYsnAskq4nAv34I1KsyyLv/3m03zzrsMAvO/Ce3nP+Q/Oeh3pvIdP\n3vIuYpkAjWEvH93YyYWnVsc2d8fictrAKlEszW57jYhUnoK0iEyZZVmUDBMwcDrU2jETLMviY994\niv/+ZQ8A77/oV7z7vIdnvQ7DtPN/f/g2Do80EvS6+Ou3dvL2C9q0SwXgctixKFIsaUZapNooSIvI\nlBVLJqZVwuVQmJoJlmXx4f94iu/ePRmi/+x1W3jnOb+tSC3/cfclPLq/C5fDzvtev4g/e8MSbXf4\nDJfThqUZaZGqpCAtIlP2XFuHZqPLzbIsPvKN50L0hy65m7e/5ncVqeUnW8/k9sdejc0Gbz2/hb97\nZxcel3ZpedbkuzEGRcPQXtIiVUZ3PxGZsqJhYlklnJqRLivLsvib63fwnWfaOf7i0l9WLERvPbCM\nf/vFegAuPLWez29aVXV7RR8Pl+PZWWm1d4hUEwVpEZmyyRnpomaky8iyLD7xX0/zXz/vBuBDF9/N\n2179SEUa2IpZAAAgAElEQVRqOTzSwGdvm9yh49RlEb7+wZOrdq/ol+Ny2tXeIVKFdPcTkSkrliZn\npNUjXT6f/vZO/vPOwwD8n9few9vPrsxMdCzt51O3vItM3sviRj/f+PApLG2p3r2iX47TYcPSFngi\nVeeYQfrBBx9kw4YNtLe3Y7fbueGGG17wOZ/97Gdpa2vD7/dz4YUXsnPnzhkrVkTmlpJhYlmGWjvK\n5LM37uK6nx4C4E8v+jVXnvubitSRLzr5zA/eyUCshrqQm//6+KmsXhKuSC3zhctpx8LQjLRIlTlm\nkE6n06xZs4Zrr70Wn8/3ggUUX/nKV/j617/Ov//7v7N161YaGxu5+OKLSaVSM1q0iMwNlmUBWlxV\nDl//4X7+5UcHsICrL7ifq857qCJ1lAw7n/vhRnYc6cDvcXDdX6/h1StrK1LLfDL5HWBhze4hkyJS\nYccM0uvXr+fzn/88b33rW7Hbn/+plmXxL//yL3zyk5/kiiuuYPXq1dxwww0kk0luueWWGS1aROYG\nC7AsZv10vYXm27/s5vM378G04IqzHuXqC+6vSB2mZeOrd7yJ3+49EbfTztf+z2oue1VzRWqZb579\nHrCUpEWqypR7pA8dOsTQ0BCXXHLJ0Y95vV7OP/98fvvbyuxzKiKz67kZ6UpXMn/96KE+PvFfT1My\nLF578pP85et/WZG/T8uCb9x9Cfc8eQpOu41/eO+JvOfijtkvZJ6a/DdTiBapNlPeR3pwcBCApqam\n5328sbGR/v7+l/xz27Ztm+qQIoCeQ3NJ71iGeLqXzFiBsF/7Cr9Sj+xJ8/f/M0y+aPGq5fv4+zf9\nBLutMmHs5ofP44ePvgabDa66IMJru3Ja8/IKjCRKjCXDxIZi1Ie9lS5H/hfdN2Squrq6jvn4jOza\noX5Jkeqib/lX7snuLNd8b4Rc0eKkRT189u234nRUZseHO7adzn/f+1oA3vKqMH92SY1ex0VEjsOU\nZ6Sbmyf75oaGhmhvbz/68aGhoaOPvZgzzjhjqkNKlXt2RkHPobmjbmCC/hE/ixqK1ATdlS5n3nj6\ncIJP3/IIqZzJ0sYhvnjlLXhdxYrUcv/Tq/iXu94AwMYLWvmvj56mo7+noH8sS10qQmdrJ821wUqX\nI8/QfUOmKx6PH/PxKc9Id3Z20tzczJYtW45+LJfL8fDDD3P22WdP9bIiMg9pfdXx6x7MsPFzjzES\nL9ASneCrV91EyJerSC3bDizlC7e/FQsbl57RyPUfOVUhehpsNhv62xOpLseckU6n0+zbtw8A0zTp\n7u7miSeeoK6ujkWLFvGRj3yEL37xi6xYsYKuri4+//nPEwqFeNe73jUrxYtIZU2+/W9TkD5OQxM5\nrvjso/SO5qgJpPjae26kLlSZ7UJ39rbxmR+8k5Lp4DWrarnp79fidOiMrqma/B6wqSVGpMocM0hv\n3bqViy66CJi8YW7evJnNmzezadMmvv3tb/N3f/d3ZLNZ/uIv/oKJiQle/epXs2XLFgIBnX4lUg1s\nqD/6eE2kClz5hW3s708T8OT46lU30VY7UZFa9g828/c3X0Wu6GZNZ5gfbT4Lr3vKnX7Cc+/K6PtB\npLoc85Vz3bp1mOaxF788G65FpPpMtgE4ME1NSR9LMlPiz/75CbbtjeGwG/zfd3yf5c1DFanlwFAT\nH7/xvSRzPk5oD3LnF15N0KcQPV2GaWHDjl1JWqSq6H08EZkyl9OB3e6kaFRmt4n5IJs3+MS3dnD3\n1mEAPnr5nZzWebgitRwabuTjN76XRNbP8tYAW75yNlEtEi2LomGCzYnLqW0gRaqJgrSITJnLYceG\nk2JJM9IvpmSYfPl7e/j+ff1YwDvO/g2Xr91ekVoOjzTwsRuuJp4JsLTFz5avnE1tSCG6XEolC5vN\nicup26pINdF3vIhMmcvpAJtmpF+MZVl8887DfPOuHkqGyTkn7uYDr/1VRWrpHqnnYzdcTSwToLPZ\nzz1fOYf6iKcitSxURePZIK0ZaZFqoiAtIlPmdjmw2ZyUNCP9Aj/5TT//77aDpPMlljcP8Om33I7D\nPvt/T4eGG/jIDZuYSAdZ0uTnnq+eQ0NUIbqcLMuiZIDD7tTOJyJVRt/xIjJlLocdu91JoaQZ6T/2\n8FOjfPaGfYwkctQFk3zxyu/hcxdmvY6DQ4189IZNxNJBOpv9/Oqr59CoEF12xZKFzeZQW4dIFdJ3\nvYhMmcNhx2F3YJg27dzxjB2HElzznd0cGkrhcRb5wpXfoyGcmPU69g828dEbNh3tib7nq+fQWKMQ\nPROKhond5lJbh0gVUpAWkWlxOSfbO9QnDT3DGf7xpt38fn8MgE9e8WNObO2f9Tr2DrTwsRuvPro7\nh2aiZ1axZE3u2KG2DpGqo81DRWRaXA47dtvkzh0eV6WrqZyxRIF/unU/v/79KAB/su5eLli1c9br\neOLwEj79vSvJFDx0tQW456vnaHeOGVYyTGw2j2akRaqQgrSITMtzO3eUKl1KxaRzJa776UF+9OAw\nJdPkVV17uer8h2a9jod3n8jnfriRouFk1eIQv/jSa6jRPtEzrlAytfWdSJXSd72ITIvX7cRu95DN\nG5UupSJKhsm3f9HNrfeOkMzlaIrE+OSbf4zdNrs947/Yfiqbb30HRcPJmSdGuecr5yhEz5Js3sRu\n9+Cr5rdkRKqUZqRFZFr8Xhd2u49MfqLSpcw6y7K4+de93P7AGD1jcZx2g394221E/NlZrePW376G\nb9xzKQAXnVbP9z99Bl63Xt5nSyZv4HJ78StIi1QdvdKKyLQEvC7sdi/ZfPUtNrzzkUHufHic7Ycm\n+6I/eMkWVrX3zdr4lgXf+vVrueU35wHw5nNa+O+Pn6YWg1lUKJoYpp2A043bpR5pkWqjIC0i0+Jy\nOvC43ORyDgpFE7erOkLco7vG+fFDIzzw1AimZXL+yp285axHZ218w7Txz3e+gbu2n44N2HBmkO/8\nzVocDtus1SCTs9F2mxe/V7PRItVIQVpEps3vdZFMe8nkjaoI0ocHM9zy637u3RYnZ+Rpqx3jbzf8\nFNssZdhCycnnb38LD+1ahcMOV54b4S/W1ypEV0A2b2B3hAh41Y8uUo0UpEVk2vyeyfaOTD5BNLiw\nZ+bi6SL//ctuHno8x3gujttZ5LMbbyXozc/K+Kmch3+49R1sP7QUl8PGJ991AutXFbDNVoqX58nk\nDex2zUiLVKuFP3UkIjPuuQWHC3vnjpJh8p1fdvP4kwaHxkcA+MvX/5LlzUOzMn7/RA1/+e0/Zfuh\npXjddr7ygdX8zcYuhegKOhqktdBQpCppRlpEpq0aFhxalsVtD/azdUeeJw6PY1gGr+rayxvWPj4r\n4z/Vs4jP/OCdxDMBIgEX1/75SbzlvLZZGVtenBYaioiCtIhMWzUsOPzN0+Pcuy3G4zsLpEoJQt4s\nf/PGn81KX/Q9T67hq3dsoGQ4aa3zcv1HT+WCNfUzP7AckxYaioiCtIiURcDrIpn2k8wWqXMtrIVX\n+/tT/OC+fv6ww8lwbhiAv77s59SHkjM6rmnZ+O5967jpoQsAWNkR4psfPZVTlkVmdFw5PslsCYcz\nStC3sJ7vInL8FKRFpCwiQS+jsRDx9BB14YUTLCZSBb7zyx527vQwkp6gZJU458TdvPakp2Z03FzR\nxZd/8mYe2LkagLNX1/Jvf7mGrrbgjI4rxy+RLmJ3BokEvJUuRUQqREFaRMoiGvTicAZIZgxM08Ju\nn/8L4Iolk2/9vJsdu+yMx2CsMILfk+PDl901oy0dY8kg13z/Snb3t+Gw23jjq5v50vtX0Vbvm7lB\n5RXJ5A1KpouIx6fWDpEqpiAtImXhdNgJ+rzkc36S2RKRwPwOF5Zl8f37etm+s8hQf5De7F4APnjx\nPTSEZ66lY/9gM5/+3pUMJyL4XE6uuriNa646kZrgwpnlXwgS6SJ2u2ajRaqdgrSIlE006CWWDBJP\nj8/7IP2bp8e5f3uCQweDGBjkzRxrOrq5fO3vZ2Q8y4Kfbz+Nf/3FZRRKLmqDHj60YTF/fcUyfB7t\nCDHXxNNFHI4Q0aCCtEg1U5AWkbKJBDw4HEES6eFKlzItvSNZbrt/gD17vLR4Orhv+G4APnTJ3dht\nVtnHyxZc/MvPL2fLH04FYEljkI9t7OSq1y3C6Vh4O6DMd8WSSbZgIxQMEPLrnQKRaqYgLSJl4/O4\n8Hl8xPJu0rkSAe/8e4nJFw2+u6WHvfvcRGmjJ3MYwzK4YNXTrGjrL/t4PaP1bL717RweacSOjbNO\nrOWjG5fy+jMbddDKHBV/pq0j7Pfo30ikys2/u5yIzGmRgIdkOkg8nZyXQfq2B/rZsccgM1HH4kA9\nD43ci91m8r4L7y37WL9+6iT+6WcbyBXdeJ1uLjmjnr+6YgmvWllb9rGkfOLpEk5HHZGAp9KliEiF\nzb+7nIjMadGgl4GxIIn0BK11la7mlXls9wQPbI/TfTjISaFVPDr+MBYWl522nY76sbKNUyg5uO7u\n13PHtjMBqA+EeOM5NXxoQycrOkJlG0fKzzQtUlkTny9IRP3RIlVPQVpEyiroc+NxBUikHGTyBv55\nslBuNJ7n1vv72LPXy2JfFxkjzeH0AdzOIldf8EDZxumfqOEfb9vI3oFWbNjoaqrn9WeH+OAbOmlv\n0PZ2c91EqojN7ifk96p/XUQUpEWkvGw2G3URP9l8DaPxCToa/ZUu6WWZpsVNvzrCnv0u/KVmGkPN\nPDQ62crx5jO30hBOTHsMy4I7f38639hyCdmCB5fNzZnLG1l3pp8/e8MSbW83T4zG8zidbdRH5v7z\nWkRm3rR/nE4mk3zkIx9hyZIl+P1+zjnnHLZt21aO2kRknmqI+HE6o0wkDQyj/LtclNvd24bZvivP\nxHCQZcEuDMugJ30IgDeePv3Xs5FEmE/cfBVfv/ONZAsewu4wl57ezBUXRvjwFcsUoueJdK5ErujE\n6w5RE1Jbh4iUYUb6/e9/Pzt27ODGG2+kvb2dm266ide97nXs3LmT1tbWctQoIvOMx+0kGvQzlA8x\nnszTEJ27i7IODqS563fD7D/g54TgSpx2F93pQxStAl3NA7TXjU/52pYFv3ziVK67+/Wk816cNift\n4UZec5qLDWc3sP6spgVxAmS1GI0XcDprqY/4tVuHiADTnJHOZrPcfvvtfPnLX+b8889n6dKlbN68\nmeXLl/ONb3yjXDWKyDzUEPHjckUZTRQqXcpLKpZMbv51L3v3e2hwdBBxRQE4nN4PwIWrd0z52n3j\nNXz8pvfy1TveTDrvJeyKclp7Bxef4+ZDb+rg8lc3K0TPIyXDJJYycDkjNEQDlS5HROaIac1Il0ol\nDMPA43n+bJPX6+Xhhx+eVmEiMr9Fgl58niDxpItEpkjYP/dOOvzV70fYfdAgF6/jxGgnACWzSE9m\nsq1j3eqnX/E1CyUnP3rkVdzwwDryJRduu5tGTzMrlzo5ZZWd91/WSWudFhXON+OJInZHiGjQj9s1\nPxbQisjMs1mWNa0GxnPOOQeHw8H3v/99mpqa+N73vsemTZvo6upi165dAMTj8aOfv2/fvulVLCLz\nxmgix3B8lIBnnPa6uRWkx1MG39wS4+mna1lsX03QMbntXNyY4L7kL1lUN8qNf/nvx309w7TzyydO\n4YYH1jGSiADQ4Gwi6PSxtDPJycvgTWeF8Lm108N8dGCwQMlsoaOhhqB3bj2XRWTmdHV1Hf11JBJ5\nwePT7pG+6aabeN/73kd7ezsOh4PTTz+dK6+8kscff3y6lxaReS4acDMSD5DKjVEsWbicc6OVwbIs\n7nkiRV+/n5DVeDREAxiWAUDAkz/Oa8FDu1fy3/deRM9oAwBhe4RGVwtOT5bOzhjnneRm3eqAWjnm\nqXTOpGi48bh9CtEi8jzTDtJLly7l/vvvJ5vNkkgkaGpq4h3veAfLli170c8/44wzpjukVKlnd4PR\nc2h+aRqYYGC0gbpQas60NPx+X4y+mEUmGea0hpNx2Z/bNSOfzUAKbLZjv1lnWjZ+f7CT/77vInb3\ntQMQcoY5ObKWvJHDHR1n5Yk23v261Zx5Ys2Mfj07d+4EYNWqVTM6TrU60J8mUN/AkpZFNNUGK12O\nvAK6b8h0/XFXxYsp2z7SPp8Pn8/HxMQEW7Zs4Wtf+1q5Li0i81hjNMBovIaRWIzGqFnxQyxyBYPb\nH+7n4EEPHf6lzwvRAGFXDTZs7BtoYTgepjHy3B7SlgW7+tq5b8dq7t+5mtFkGACfw8cp0TNp9DRx\nML2X5rY0J62weP9lS+fFPtry0lLZEsmsjWAgSp32jhaR/2XaQXrLli0YhsGKFSvYv38/f/u3f8vK\nlSv5kz/5k3LUJyLzXMDnpjYUYqgYZXA8VfHT++56dIj9h8DK1tAUaXnB436nn3ZfB0ey3Xzg+g9y\n9ol7cNoN8iUXT3YvZigePfq5QWeIE0KrWBE6iYFcL4fyOzhhZY4zV/t4z8WL5uQCS3llBsZyuF1N\nNNcGK/5DoIjMPdMO0vF4nE9+8pP09vZSW1vL2972Nr7whS/gcGhVs4hMamsIM5GsYzQxOSvtdlUm\nkPSOZLlv+xg9PQFWBrteci/gcxsu4ldDP2ckO8QvnzjteY/5HQE6A8vpDCyn3tNI3syzJ/k0rtA4\np52QZ8M5TVy8tkH7DC8A8XSRTMFJKBClqUYtHSLyQtMO0hs3bmTjxo3lqEVEFiiv20lDNET/aC39\nY3GWNFfmLfJ7Hh+mp8dNnaONoDP0kp/ndfi4vOUtjBVGGM4NYrc5cNgchF0RGj3NR0PySH6IQ+m9\ntHdkWHUCXH3JUpa2aI/hhWJgLIfL1UpLXUgLRUXkRZWtR1pE5Fha6kKMJeqIpSfI5g18ntl912os\nUeD3+xIMDwc4Ndzxsp9vs9mo9zRS72l8wWMls8TB9D5S9gFWnZTjNScHufKidgJevaQuFOPJAoWS\nh0g4SkNUvdEi8uL0qi8is8LtctBYE6K3WE//2BjLWmd35vahp0YZGHBS42zC45j6keWJYpx9yV1E\nG5Kc2VXkree1cPbqWrVyLCCWZTE4nsPl7qC1LqR/WxF5SQrSIjJrmmuDjMRqSabHSWVLBH2z8xKU\nKxj89ukJBgY9rPC1T+kaJbNEb7abkdIRlp2Q45QTXbz34i4aa6YeymVuGo0XKJkBaoJhasNzY8tG\nEZmbFKRFZNY4HXaaa4P0FBoYGBuiq312FnA9umuCvgEbXrP2mL3RL8ayLMYKoxxO7ydSl+a0zjyv\nP6ue9Wc1aReHBcg0LQYn8rhcrbTVv7LniohUHwVpEZlVTTVBRmI1JFLjjCUK1IXdL/+HpsGyLB54\napT+fhdt3lc2G50zshxM7SPvHKVrZZ6TuzxsvGCZ9oZewPrGcmALEwkEiQS9lS5HROY4BWkRmVV2\nu41FjWH2FVrpGz1MyOec0e3wktkSg6NFsmk/tbV1x/VnTMukL9vDQL6H1vYcy5YYbDi7mbNX1Wr3\nhgUsmSkxljDx+5roaIpUuhwRmQcUpEVk1tWEfNRHIgyN19EzMs7y1plr8RiO5clmbfgc/pddNGZZ\nFrHiBIfS+/FFEqxZmefckyO86ZwWHa6ywJmmxZGRDG53O631EXwe/XuLyMtTkBaRiuhoipDM5Emm\nkzPa4jESK5DL2fE5XnrRmGmZjOaH6c/2YrkTLOkqsGKZg7ef3zlrfdxSWX1jOQwrTE0gSnOt/s1F\n5PgoSItIRTgddjqaIuzrndkWD4fdht0OJct4wWNFs8Bgrp/BXD/+cIbFJxRZ1GrjwlPrWXdKvRYT\nVok/bulY0hzVdncictwUpEWkYmajxWNZa4BwxOCQNcrB1D68Dh85I0vWyJAy4tTV51l9QpHli9ys\nO7WV07siCtBVRC0dIjIdCtIiUlEz3eJRF3bzxtc0YBqjjIwcIle04fWa1PhMgiGTU5eHWHdKG11t\nAc1EViG1dIjIdChIi0hFzUaLx2WvaqarPci+3hSJTInGqIfGqIeWOu+Mb78nc5daOkRkuhSkRaTi\nnm3xGJ5o4NDgCF1twbJvM9fVFqSrTTOOMqlQNOkeyqqlQ0SmRY2AIjInLG6KEPQ3kC+F6BnOVroc\nWcBM0+LQYBqbo4HacA0tdTrBUESmRkFaROYEh8PO8rZa/L5WEhknQxO5SpckC1T3cIaCESLkb2Bp\nS02lyxGReUxBWkTmDK/bydKWGjyedgbGDeLpYqVLkgVmcDxHMuPC521lWVstDu3QIiLToFcQEZlT\nIkEv7Y2TYbp7KEeu8ML9n0WmIpYqMjhh4PG0s6y1Fq9by4REZHoUpEVkzmmuDdIQrcHpbObgQBrD\nsCpdksxz2bxBz3AOj6edRY01hAOeSpckIguAgrSIzElLmqNEQvWY1HJwMI1lKUzL1JQMk0ODaZzO\nFhpramnSftEiUiYK0iIyJ9lsNpa11hDwNZMt+LSTh0yJaVocGshgUkskVMfipkilSxKRBURBWkTm\nLJfTwbLWGnzeduJpF0dGFKbl+JmmxYG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MdLNsbAEEaQAAAKAN9EgDAAAAbSBIAwAAAG0g\nSAMAAABtIEgDAAAAbSBIAwAAAG0gSAMAAABtIEgDAAAAbSBIAwAAAG0gSAMAAABt+A/ZGNyW36Os\nXwAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1306,9 +1274,9 @@ "\n", "P2 = multivariate_multiply((10, 10), P0, (10, 10), P1)[1]\n", "\n", - "stats.plot_covariance_ellipse((10, 10), P0, facecolor='y', alpha=0.2)\n", - "stats.plot_covariance_ellipse((10, 10), P1, facecolor='b', alpha=0.6)\n", - "stats.plot_covariance_ellipse((10, 10), P2, facecolor='y')" + "plot_covariance_ellipse((10, 10), P0, facecolor='y', alpha=0.2)\n", + "plot_covariance_ellipse((10, 10), P1, facecolor='b', alpha=0.6)\n", + "plot_covariance_ellipse((10, 10), P2, facecolor='y')" ] }, { @@ -1324,7 +1292,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 22, "metadata": { "collapsed": false }, @@ -1333,7 +1301,7 @@ "data": { "image/png": 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PpLMvmLiIIFL0E/P+/9drIf8t5i8Z28CWlZU1436v/I3ub2vFPys7O5vs7Ozp\n79euXUtrayv/83/+zxkTcCGE8JZgvYZtq5MZHj9HfX0zoa5IDKoQf4flMzaHk6bucaz2CULVCpkh\n8XR3OPhE48bpgm2FQ2jU/o7y0irPGak6F02QbjH3rEmVBXeEEHPCdSfgCQkJAPT29pKSkjK9vbe3\nd3rf1VqzZg1vvPHGjK8pKiq69iCF1039Bi7jMz8tpPEtAlyGM/xO00ZH8zkKojaiUgI06/SAqZlv\nY2g4Z1v6cGEl1GAlK9mNVh1BmDOIsx1aTmv1GIyh3L/JjDbA/nP0Dqs42hRObGwBj21bz/rlC+cv\nF1eykH52FxoZ27lhdHR0xv3XPVWQnp5OQkIC+/fvn95mtVo5fPgw69evv6ZzVVRUkJSUdL2hCCGE\nR3zhxjzyc0MwRozROlHn73C8zmR1cPpsL2bLIMagCXJS7NNJdojawBL9ItpakjlWGclvDgZjd/o3\n3s+atMMbHwej0WWxKT9Hkm8hxJwy4wy4yWSisbERAJfLRVtbGxUVFURHR5Oamso3v/lN/u3f/o3c\n3FyysrL43ve+R2hoKA8//PD0OXbu3ImiKNM9xJ955hnS09PJy8vDZrPx6quvsm/fPvbu3evF2xRC\niCsL0ml4bFsBXQOHKTvZTJQtnghdjL/D8ooxs42W3nFUagthRgsZCQ5Uf1M9GKzWk6VfRFOLCrdb\nAQUevtHk93IUtxv2HTcyNplMVuoSHrp1hX8DEkKIazRjAl5aWsott9wCnK/r3r17N7t372bXrl28\n9NJLfPvb38ZisfC1r32N4eFh1q5dy/79+wkODp4+R3t7+wU14Xa7nW9961t0dHRgMBhYvnw57733\nHnfeeaeXblEIIa5eWkIE923OYWy8joaaCgqiNqNV6fwdlkf1j5ho7h3D5RojOtxJWpzjsp1OjGo9\nWYZUGlrdKIobrdrNA5vM+LPU+kSDjtrOSGIis/n7u1ejC7TaGCGEuALFHcA9tz5bPxMeHu7HSMTl\nSC3a/LZQx9flcvPjN45y4PAQ5v54lkUUz/hw+VzSPThOY8cAFksvsWFWMpKuLpM2O600Ws+RltHJ\nhvwRvrDB7JfuKB0Dal46EI4huJD/tH0Dq3OkfPFSFurP7kIgYzs3XCmHlcfFhRDib6hUCn+3rYDl\nS3W4DL2cMzX6O6RZc7vdnOsdoaGjD7t9gMRIC4mRtqs+3qjWs0SfSktzEkcrw3nruAFfT99YbAq/\nO2wkSJ+syfalAAAgAElEQVTDbauXSvIthJizZKkwIYS4hOhwI49/rpDRiU84daqekMlwooPir3xg\nAHK73TR3DdPRP4TTMcziuElCdPZrPk+w2kBmUCpnz4KicqPVwOeKLT5ZqMfthjePGjDbU1manskX\nbszz/kWFEMJLJAEXQojLyEuL5YFbcrFYa6mpLMeo3oRBE3zlAwOI2+2moX2QnqFhnM4h0hPsRIa4\nsFqv73yhGiMZpNDc5Eb1aU34HYVWryfhR2qDaOqJJi4mhyc+t1r6fQsh5jRJwIUQYgZ3FGfS2jOC\naaKbmtYyVkVuQK2aG2+dTpeLurYB+keHcbtGWJJoJ8zomvV5wzTBpJFCU+PUg5lw66rrzOivQmuv\nmr+cDiU4eClfubOA6HCj164lhBC+MDc+RYQQwk8URWHXnavoHhxnfHyMxtEz5IQVBPxDmU6ni+rW\nfobGh8E1QnaSnWC954q2wzUhLHKn0PhpEq5Ru7lxxaTHzj9lwqLw+yPB6A05bFubR37m3CwDEkKI\nz5K/4QkhxBXodRqe3F7E8jwNZk0nXZYWf4c0o/PJdx9DY0Mo7hFyUjybfE+J1IaSqkmhsTGZ906E\ncqzOs+0a7U74TUkwNlcaeWlLuGdDrkfPL4QQ/iIz4EIIcRUSo0P5ytZVjJnKqCivIVgTToQu2t9h\nXcTpdFHV2sfw2DAqRslOsaPXeq9dSZQ2DJc7mfp6N/sUN0HaMQozr/0Bz781tdhOz2gCqQnn675V\nf7tSkBBCzFEyAy6EEFepMDuRezctISfXTf3YSSadFn+HdAGn00Vly6fJtzJKjpeT7ykxugjiVck0\nNCTzh8Oh1Jyb/dzOoaogqtujiArP4+v3riEsOMgDkQohRGCQBFwIIa7BPRtyWb8ylqTUSWpHT+Jy\nz/6hRk9wOJ1UtvQyMv5p8p1sJ8gHyfeUeF0kUe5E6uuTeb0klLPd15+EV7ZqOVgVTmjIch7/XBHJ\nsWEejFQIIfxPEnAhhLgGU4v0rFxmICh8mObxan+HhMPppKql79Pke8TnyfeURF00IY546uqTePWj\nENr7r32J+PZ+NW8dDyXYuJwHb17Figx56FIIMf9IAi6EENco1BjEk3cXkZenZoRWeizn/BaLw+mk\nsvl88q32w8z3ZymKQmpQHEHWeOrqE3n5w2B6hq/+Y2Z4QuE3JSHognK5pTCPmwvSvBesEEL4kSTg\nQghxHRYnRLBzywry8qDVXMW4fcTnMUwl36MTnybfKXaCtD4P4wKKopCmT0Axx1NTn8TLfwlhcOzK\nHzWTdnjtUDBOMshfksODNy8L+FaPQghxvSQBF0KI67R+eSp3rl3MkiwntSNl2F02n13b6XRR1XJh\n8q0LkL5WiqKQoU/EORZHVX08ez4MZtR0+WTa5YLfHTYyYk5hceL5jidqWelSCDGPyTucEELMwoO3\nLKd4RSSxyRbqRk/hdnu//GOq28nI+AgqZZTs5MBJvqeoFBWZhmQsQ/FU1sWx58MQJqyXTsLfP6Wn\nuS+OmKg8vr5jDUa9n6fxhRDCyyQBF0KIWdCoVfz93avJzwsCYz+tE3Vevd5Un++/djtx+L3s5HLU\nioosYwpj/fFU1kfz2sFgbI4LX1PaqONEYyRhIXn8p+1FxEYE+ydYIYTwIUnAhRBiliJDDTzxudXk\n5Sn0O5sYsHZ75TpTK1xO9/n24wOXV0ujqMkypNLflcDp+gj2HjXi+rRz49luDe+VhWEMXsbOOwrJ\nSgm8hY2EEMIbAuyPlkIIMTdlp0bzxVvzsFiqqTxTTpDaQKg2wmPnd7pcVLf2M/TpCpdzIfmeolNp\nyDKk0HDOySc6BxHBLlYvsfHGxyEYDHnctXY565al+jtMIYTwGUnAhRDCQ24tTKejf4zJyXZq6k+w\nMnIjerVx1ud1u93UtQ0wND6M8uny8nMl+Z5iUAeRHpRM81kn7ytO/nLaTnRENsVLc7h3Y66/wxNC\nCJ+SEhQhhPAQRVF45PZ8NhTEkJI2SfXICRwu+6zO6Xa7aWgfpH90GFwjZCf7Znl5bwjTBJOoTqLs\ndAq152IIDU7iK3euknaDQogFZ8YEvKSkhO3bt5OSkoJKpWLPnj0Xvea73/0uycnJGI1Gbr75Zmpq\naq540UOHDrF69WoMBgOZmZm8+OKL138HQggRQM4/lFlEcX4oEXHj1IyWXfdy9W63m+auYXqGhnG7\nRshKsmPQzc3kG8DlhuGBGDTmDMzDSVgmHfQMTfg7LCGE8LkZE3CTyUR+fj7PPvssBoPholmKH/3o\nR/zkJz/h+eefp7S0lLi4OG6//XYmJi7/htrS0sK2bdvYuHEjFRUVPP3003zjG99g7969nrkjIYTw\nM6Ney9fvXUNBvh5N6ACNY2euqz1he98YHf1DOB1DZCbYCdbP3eTb7YbmHg2mSSOxuqWkheRSVwfP\nvXmCwVGzv8MTQgifmjEB37p1K9/73vf4/Oc/j0p14UvdbjfPPPMMTz/9NDt27GDZsmXs2bOH8fFx\nXnvttcue84UXXiAlJYVnn32WnJwcvvrVr/Loo4/y4x//2DN3JIQQASA63MjX7y1mxXI1Zm0750yN\n13R89+A4LT0DOBzDpCfYCTNe3yx6oGjt0zBmNqAPimJFejx5UQU4xmOoqJzk+bdOYLbOrlRHCCHm\nkuuuAW9paaG3t5ctW7ZMb9Pr9WzevJmjR49e9rhjx45dcAzAli1bKCsrw+l0Xm84QggRcBYnRPDk\n9tWsWK7Q66yn19J+Vcf1j5ho7BjAYR9iUewkkSHeSb5HR9VeOe/fah9QMzyhR6eLYnlaHMF6HSpF\nRV54ESN9oZSeGefFd8pwOOf2LxlCCHG1rrsLSk9PDwDx8fEXbI+Li6Orq+uyx/X29l50THx8PA6H\ng4GBgYv2TSkrK7veUIUPyPjMbzK+s7MmTUt3dzc1jccxaSyEqiMv+9oxs43m3jFcrlESIy2EBtmx\nWr0Tl9msxuqtk3+qb1RL97AOlcpAYpiGSfMY/Z+pOIl3ZdJYcwqLuZGRgR4+V5QiD2V6kPzszl8y\ntoEtKytrxv1e6YIib55CCPFXqzOjuTE/mrR0M622Kqwu0yVfZ7I6aOkdx+UaIzbMSmyYd8oyRkfV\ndHfrsFpVdHfrvDYTPjiuoXtYj6KEszg2lDCj7qLXBKn0pOtWcK4tmE9qxzhc2+eVWIQQIpBc9wx4\nQkICcH5GOyUlZXp7b2/v9L7LHTc1e/7ZYzQaDTExMZc9rqio6HpDFV409Ru4jM/8JOPrOatXu4mI\nOcmfj3TT2nSWVZEb0amDpvebrDYa+3pRqS1EhztJj1cBeq/EoteD1Wqlu1tHerqK83Mxnl3PfnhC\nRc9oEHpDFNkpcSRGh87w6lhCJoNp6imlosPF2tXxsjDPLMnP7vwlYzs3jI6Ozrj/umfA09PTSUhI\nYP/+/dPbrFYrhw8fZv369Zc9bt26dRw4cOCCbQcOHKC4uBi12jf1iEII4WuKovCVrQXcsDKShBQz\n1aMncLocAFhtdipb+rBODhFmtJAW5/BJTEajd567GTOraOnVodFEkp4Qc4Xk+7zooHhSg5ZRVQW/\neu8MdecGvBKbEEIEgiu2IayoqKCiogKXy0VbWxsVFRW0t7ejKArf/OY3+dGPfsSbb75JVVUVu3bt\nIjQ0lIcffnj6HDt37uTRRx+d/v7JJ5+ks7OTp556itraWn75y1+yZ88e/umf/sl7dymEEAFAp1Xz\ntXuLWZ0fTHDUCHVj5djsDqpa+rBYhgkOMpOR4MBXVXzh4Z5PwE1WhbM9WtTqSFLiokiNC7vqY5OM\n6USRSWWVi5+9VUb34LjH4xNCiEAwYwJeWlpKYWEhhYWFWK1Wdu/eTWFhIbt37wbg29/+Nk899RRf\n+9rXKC4upre3l/379xMcHDx9jvb2dtrb//rkf1paGu+99x4lJSUUFBTwgx/8gOeee44dO3Z46RaF\nECJwhBqD+MaONaxcocOh76ak5ThjpmGCNBMsSbSjmsOP0FhsCo1dWhRVBAlRkWQkRl7zM0HpIUvR\nWBM5U2Xnub0nGDNNeilaIYTwH8V9PatD+Mhn62fCw8P9GIm4HKlFm99kfL2nprWfv/v3d2isUwi2\nxrI6KQytD6vwprqf6PWeqTOftEN9pw4XEcSGR5GXFnvdD+Q73U4qh48RmTjM5jUR/OMD6wjSXfcj\nSwuS/OzOXzK2c8OVclivdEERQghxeW63m2PV7cSE2YiMb0UX1cGEa+6WW9id0NilxeUOIzI0gtzF\nMbPqhqVW1ORFFNPbaeTEmRH+z3vluFwBO1ckhBDXTBJwIYTwsT8eb+RodR2RwS08fucIuTmdnLN1\nMuG0+Du0a2Z3Qn2HFrsrjLDgCJalxaJWzf6jRacKYnnEDbSc1XHoZA+/P1TjgWiFECIwyN/0hBDC\nh0rrOtl3+AxWcw0Pbp4gO8kBKNjt3Zw9qybXuJgg1cX9sgOR3QkNnVrszjDCQiJZkRGPxoPdrIya\nEJaGFVFbe5x39c2kJUSwZmmyx84vhBD+Igm4EEL4SHPXML/+8ylMpmq2FIySk3y+3eDn1lgYNamw\n2TQ0tqvJMS5Cqwrst2fHp8m3zRFKaHAkK9Lj0Wo8X8QerotmkWEZtTWV/Np4mqSYUFJir76zihBC\nBCIpQRFCCB8YHDXzs32ljI5VU5g5zNoc2/Q+tQoe3GwiP2eIqIReGi0dONze6dHtCX+bfOdnxKPz\n4hOkiYbFBDtTqa5x8sLbZZit3lkhVAghfEUScCGE8DKrzcFP3yqlb7CWRTF9bCuyXNTrO0gLX77Z\nxIrcfkJiemkyd+J0u/wT8AycrvPJ96SPkm84v4hRVtgKzMPhVFSbeOlP5QRwAy8hhLgiScCFEMKL\nXC43v/zjKZq7GgjVt/PAJjPqy7zzhhjc7LxlguU5vQRF9tJs6cIVQEn4X5PvEEKCz9d867S+KZVR\nKWryIopob9NxuLyXd481+OS6QgjhDZKACyGEF/3+UA2nGupRuRp55CYTBt3MM7eRIW4evdVEXk4P\nSmgvLdaegJjtdTihvlOL1R5CiDGK/Ix4gnyUfE/Rq43khBZSV6fwh0MNnDnb69PrCyGEp0gCLoQQ\nXlJyuo39pdVMWmt5cNMEUaFXN5sdG+5i5y0mluZ04zT0cm6y169J+FTN96Qfk+8pkUGxJOlyqa2B\nX/6xnL5hk1/iEEKI2ZAEXAghvKC2rZ/XPijHZK7i7jVjpMVf20OVydFOvnzzBLk5XZh1vXRO9vsl\nCZ9Ovh2hhARHkZ8Z7/dVKVOMmehsiVTX2nnh7TImbQ6/xiOEENdKEnAhhPCw7sFxXni7lHFTNRty\nRynIuL6uHWnxTh6+aYLc7E5GNT302IY8HOnM7J+WnXz2gUt/zXx/lqIoZIetYqQvhFPVY7xy4ExA\nlOkIIcTVkgRcCCE8aMJi46dvlTI0Ukt24gC3rbLO6nzZyQ4e2DxBTnYnA0o3fbZhD0U6M/slWg0G\nQvI9RaPSkBdRRMtZDR+WdfKXUy3+DkkIIa5a4LybCiHEHOd0unjh7TLae+uJCe3ivnXmi9oNXo8V\naXasGyZwujqor1NQ21VEa8Nnf+LLmF5efmqFy3Tvtxq8HkZNKEtCVlFbU8brhhoWxYWTnRrt77CE\nEOKKZAZcCCE85M3DddS0NKJTmnn4RhM6refOXZxl4+61E2Rnd9Lp6GTIPu65k3+GzfFp8u06n3z7\nos/3bMToE4lVL6Gmxs0v3j3J8LjF3yEJIcQVSQIuhBAeUN7YzfsnapicrOeBTSbCjJ6vSd6YN8nW\nNWNkZXfQbu9gxD7h0fNbbAp1HTocrnDCQ853O/HG8vKelhaSC+ZYztRM8uI7J3E4A6d3uhBCXIok\n4EIIMUsDo2Z+/edyTOZabls5zqJY7y0jf9OKSbYUjbMku4M2ewejDs+04TNZFeo7tLiIIDIsivyM\nuDmRfMP5hzJzwwvp7zRQWjnMbz+q9ndIQggxI6kBF0KIWbA7nLz4ThnDo41kJw6xLtfm1espCty2\nyordCbg7aGqEDBYRqjFe9znHzCrO9mhRVBHEhkeSuzgGtWpuzc9oVTqWRhRR3XiUPwW3sjg+nA0r\nFvk7LCGEuCRJwIUQYhZ+d7CGsx1nCda1c+86i0ceurwSRYGtq604nAouVyfNTQqZyiJC1IZrPtfw\nhIqWHi1qTRQJUZFkp0aj+OImvCBUG0GacQU11RW8YqwiJTaMxQkR/g5LCCEuMremOIQQIoCcqO3k\nw/I6JicbeGCT+YrLzHuSosDnii1szB8lLbOTs9Z2TM5ra3k4OK6huScItSaalLjoOZ18T0kwpBJB\nGtXVTn7+dhlm6/X1YBdCCG/ySAI+Pj7ON7/5TdLS0jAajWzYsIGysrLLvr61tRWVSnXR1/79+z0R\njhBCeF334DivHKjAbKph6+oJkqK8V/d9OSoV7FhnYf2KURand9JkPYfZOXlVx/aOaukYNKDRRpGe\nGEtGYuScT76nZIQuwzYWSVW9hf/4QBbpEUIEHo+UoHz1q1+lqqqKl19+mZSUFF555RVuu+02ampq\nSEpKuuxx77//PitXrpz+PjIy0hPhCCGEV03aHPzi3ZOMjNWzbNEIRUu8W/c9E5UKPr/ejNMJbrdC\nU4uKLEMqBnXQZY9pH1DTM6xDUcLJTokjMTrUhxF7n0pRkRNWQEVrCSXlXazMTGDN0mR/hyWEENNm\nPQNusVjYu3cvP/zhD9m8eTMZGRns3r2bJUuW8POf/3zGY6OiooiLi5v+0mo92DRXCCG8wO1289pf\nKmntOkuYvovtazyz2M5saNRw/yYzxXkjpKR10mA9h/kS5ShuN7T0augfNaBShZMeHzbvku8pBk0w\n6cHLqKuDVw9UMjhq9ndIQggxbdYJuMPhwOl0EhR04WyLXq/n8OHDMx573333ER8fz8aNG/nDH/4w\n21CEEMLrjlS1c6SyAYe9kQc3eXaxndnQquGhm0ysXTHEovROGq3nmHD+dVEalxvO9mgYnjCg00WT\nkRBGRLDOjxF7X7w+Fb0jgboGO79+vwKXS0pRhBCBQXF7oDhuw4YNqNVqXn/9deLj4/nNb37Drl27\nyMrKora29qLXDw4O8vLLL7NhwwY0Gg379u3j+9//Pnv27OFLX/rS9OtGR0en/93Y2DjbMIUQYlZ6\nRiy8/FEjk7ZathV2syw18GZVHU5492Q0J+tjaW9LZbEmCYNioKVPj8lqRKMJJTM+jGD9wmiC5XDb\nqbeWsjhzhLvXxbEuJ9bfIQkhFoCsrKzpf4eHh1+03yMJeHNzM4899hglJSWo1WpWr15NVlYWJ0+e\npKam5qrO8fWvf52PP/6Y06dPT2+TBFwIESgm7U5e+ksTg2P1rFjUwR2rRvwd0mU5XfCn8ihO1MXQ\n2rwYhtNwTcah04ayJCEUvW5hJN9TxpyDtLtOk5dn4e9uzyQh4trbNQohxLW4UgLukXfhjIwMDh48\niMViYWxsjPj4eB588EEyMzOv+hzFxcW89NJLl91fVFTkiVCFh011u5HxmZ9kfP/qlf2ncaktpCWa\nePAWLVp1YM+kProF1LpJzg0OMGgJJtGYQnF6OvpPa2b6+/sBiI0N7PvwhFhicY/ZGR5u5WSnk/96\nU8GcWeXzesnP7vwlYzs3fHYS+VI82gfcYDAQHx/P8PAw+/fv55577rnqYysqKmbsmCKEEP5S1dJH\nyelGbLaz3LfejHYO5G4tvRra+3UkJ0SwKN2BKqqVCdeAv8Pym/TQPMYHQzhdO87ekotLI4UQwpc8\nMgO+f/9+nE4nubm5NDU18a1vfYulS5fyla98BYCnn36a0tJSPvjgAwD27NmDTqdj1apVqFQq3nnn\nHX72s5/x7//+754IRwghPMZksbHn/QrMlgZuyTcRH+Hyd0hXVNqo472yMAyGPB66NZuwYD1/PNpK\nVeVJXBQQp194LfnUiprc8EKqmg7zp7AWVmTEk5c2/2f/hRCBySMJ+OjoKE8//TQdHR1ERUXxhS98\nge9///uo1eeniXp6emhubp5+vaIofO9736OtrQ21Wk1OTg6/+tWvePjhhz0RjhBCeMwbH1XTP9RC\nUsQg63OvbpEbf3G54P1Tek40RmIMXsZda5dz78ZcAIL1WhSlkarKclxuF2r0fo7W90K04STrc6hv\nqOVXf67gu4/eSLBhfneCEUIEJo8k4Pfffz/333//Zff/6le/uuD7nTt3snPnTk9cWgghvOZUQzdH\nqxtxOlrYsc6MyqNFe541aYffHTbS3BdHeFgeO+8oZN2y1On992zMRatR87pSx5nKCsLsqcRoF95M\neIoxk6HhXmrqh3j1wBmeuHv1vFkBVAgxdwTwx4kQQvjPhMXGf3xwBou5gdtXmYgOC9zSk+EJhV/u\nD6FtYBFx0QX8Pw9svCD5nrJtbRZfvjOPlfnQq9TTZ2/3Q7T+pSgKOeEFdJzT8HFFN8drOvwdkhBi\nAVpYvaiEEOIq/fajagZHWkiNGWJNtv+Wmr+S9n41vykJwUkm6cnZfO3eNcRFBl/29bcXZaLTqBkc\nOkhTUyPnTKEsCs667OvnI73aSHrwCurqy3ntgyqyUqKJCTf6OywhxAIiM+BCCPE3qlv6OFrdhMPe\nyvY1Fr8vNX85la1afv2XcNyqZazKXsl3Hto4Y/I95cZVaexYm0R2loV+Vx2tE/V4YEmIOSVOn4zR\nkURdg4Nf/alcVskUQviUJOBCCPEZkzYH//FBJVZLEzfnmwOy9MTtho/OBPGHY5HoDau4dXUB39ix\nBqNee9XnWJkexefXp7BqlcIQDbRM1C6oJFxRFJaEraC/R09Z9RB/PtHk75CEEAuIJOBCCPEZ+47U\n0z3QSmzoQEB2PbE74Q9HjZTUxBIWWshDtxbz8G0rUKuv/e182aII/uHe1RSsUjGmPsvZ8aoFlYRr\nVTqyQ1dR3wBvfdxAW0/grm4qhJhfJAEXQohPtfaM8MHJBiYnz3LP2sDrejJhUdjzQQi1nUnERBby\n9R3ruXV1xqy6eBRmJ/KNzxdRUKDGpG2lcfzMgkrCI4NiiVFn0NDo4tUPzkgpihDCJwLs40UIIfzD\n7Xbzu4PVWKzNrM0xkRgVWKUnrb1qfv5eKH3jGaTEF/DthzaxIiPeI+dekRHPf/l8MYUFaiaDzlE3\negqXO7Du35vSgnMYHTBwpmGUgxWt/g5HCLEASAIuhBBAdWs/9ec60Cq93Ljc6u9wprnd8HF1EHs+\njMSlXsHyzFX81y9tIiU2zKPXWbo4lqfuv4HVBRoI7aJq+DgOl92j1whUapWGzLAVNDXCmx/XMTIR\nOOMvhJifJAEXQix4brebNz+uxWptZdMyC/oAWRzRPKnwm0NGPqqMIzi4kLvXF/OPD6wnLDjIK9fL\nSonm2w+tZ22xnpC4QSqGjmB1mr1yrUATHRSP0ZVAU7ODNz6s8nc4Qoh5ThJwIcSCV1rXRWtPJ0Zd\nP8UB0vO7Y0DNC38KoaU/jdjo1Xzjvo3s2LQUlcq7PRFT48J5+uGNbFoTRlLaOKeHjzBhH/XqNQNF\nZuhyOjs0HDnTTWVzr7/DEULMY5KACyEWNIfTxdtH67FaW7g534pW7d943G44Xq/jpQPh2N3LWZpe\nyH//8o3kZ3qm3vtqRIYa+KcH13PL2hiW5FipGj3K0GSfz67vL0FqA6mGHJrOwusfVmGzO/0dkhBi\nnpIEXAixoB2pPEfXQAeRxmFWpfu35nnSDr87bOT98lgMwYVsWVPEt764gWg/rNJo1Gv5xn03cNem\nFJatcNBoOkGP5ZzP4/C1ZGM69vFwapvM/PF4g7/DEULMU7IUvRBiwZq0OXjnWANWayt3r7f4te1g\nz7CK334czNhkMjGR2ey8o4CinCT/BQRo1Cp23bmKqFADf9A2Ul11GqvTzOLgnFm1PgxkUwv01DYf\n4U+fNLM2L4XE6FB/hyWEmGdkBlwIsWD95VQLg6MdJEaMsjTV4bc4Tp3V8v+/H4HZmUdWaiH/7ZEb\n/Z58T1EUhXs25vL43fkUFCiMqBupH6uY120Kw7SRRKkX0dzi4o2PqhdUX3QhhG/IDLgQYkEyWWy8\nX9qE1drKbess+GNC1+aAP5YaONMagdG4lE35OTx06wp0/i5Ev4RN+YuJDDXwgu4kpys7qBqxkhde\nhEal9XdoXpEWksvJnm7KavupaOqhICvR3yEJIeYRmQEXQixIhyvPMTbRSUbcBBkJvn/Y7nyXk1Cq\n21OJilzNY9vW8+idqwIy+Z6yPD1uuk1hcMwAp4ePMOm0+Dssr9CqdCwy5nC2CX53sAa7Qx7IFEJ4\njiTgQogF6ZPaTmy2XtbkTPr0ug4n/KVCz/85EInFsYzM1NU8/fCNrF+e6tM4rtei+HD+34c2sHFN\nKAmLxqkYPjxv2xQmGhbjMIVR32zmw1Mt/g5HCDGPSAIuhFhwOvrHaO/rR6seYUmi72q/e4ZV/OLP\nIRytTyIkZDV3rbuB//bIJpI9vKqlt0WHG/n2Fzdw89poMrPnb5tCRVFID8mjtRXe+6QJkyUwesQL\nIea+WSfg4+PjfPOb3yQtLQ2j0ciGDRsoKyub8ZjKykpuvPFGjEYjKSkp/Ou//utswxBCiKv2SU0H\nNnsfyxfb0fig4sPpgpKqIH7x5wjGJvNISy7m2w/dxOdvzEPriwC8wKjX8l8+v5atG5PJW+6g4f+2\nd+9BTZ6JGsCffElIwiVchBACcokiQqrUirZIve2qUy+1tlY9Xo6ou8c62taVdsaBYmvPet16GbW6\nx3POLAfbznbm7Olpa7u7lSreVltBA4IIokAAMRGRi6ABAjl/dGTKUbwQyEfS5zfjDHz5vuSh78Q+\nvL55v5ZzMN+rEjtWn/NXBEHREYRyUzv+fu6q2HGIyE04/CHM3/72tygsLMShQ4cQFhaGTz75BFOm\nTEFRURF0ugc/xd/U1ISpU6di0qRJyM3NxeXLl7F8+XJ4eXkhJSXF0ThERI/U2WnHueLraG+7ifio\n/n6YsgsAABamSURBVJ/RrLktxVc/qHDrTiA8vYbhV88Nw2vjY6HwcP3PwMukAn4zYxQGqVX4X/lV\nFBbmobXjLsK9hrnVNoWR3sNxqbIW35+vwORRUQhQq8SOREQuzqEZ8Hv37uGLL77Atm3bMGHCBOj1\nenzwwQcYOnQo/vjHPz70ms8++wxWqxWZmZmIi4vD3LlzsX79euzatcuRKERET6S0ug51jbegVjVj\ncGD/fbCuzQZ8d0GJ//jOH43WOEToxiJl/gQs/PUItyjf90kkErw6Pha/mTUCz42SoF64gitN+ei0\nu8+HFn3kfvATQlFh6sDhMyVixyEiN+BQAbfZbOjo6IBCoeh2XKlU4vTp0w+95uzZsxg/fny3a6ZN\nm4aamhqYTCZH4hARPVbp9dtot9UjdnB7v209WGaW4cC3Psi5Ohg+PgmYkfgC3l86EbERQf3zggPA\nxGcj8fbrYzD6OSk6faqQX38GVjfaISXSeziuXxdwMr8a12ubxI5DRC7OoQLu4+ODxMREbNq0CTU1\nNejo6MCnn36KH374AWaz+aHXmM1mBAcHdzt2//ueriEi6iuVlkZ0dDQjdFDfz9DWNQn479OeOJQd\ngNbOEYgOH4PUxZMxb5LBrWa9ezJySDBSFydh/POe0AxuQH79SdS31oodq08opZ7QeETAVGnHl6eL\nxY5DRC7O4f8jfPLJJ1ixYgXCwsIglUoxevRoLFy4EOfPn3/o+b1dF/i4D3aSuDg+7s2dxvfHiyW4\nc+cmPOw3UVvbNzugNFsFnC1R42KlGnZo4CELRvyQIDw/TIVb1Vdxq7pPXqZf9MfYvhTnhbbm22hr\nu428iuMIkuihkQ12+XXhKrs/iuuv4O+nixDh0wqt38BfC+5O713qjmM7sEVHRz/ycYcLuF6vx/Hj\nx3Hv3j00NTUhODgYCxYswJAhQx56vlarfWCm22KxdD1GRNSfWqztANqhVjlevq1tEpy76oML5WrY\nOjWQClqMjAjEi3Ea+Hp6OB7WRak8ZJg3LhJa/5s4rqhFeUUpWqxNiPAYDqnEdf8lQC7xgL80BDdr\n7+HHK7V4ZWy42JGIyEX12d+EKpUKKpUK9fX1OHLkCD766KOHnpeYmIj169ejtbW1ax14VlYWQkND\nERER0ePzJyQk9FVU6kP3fwPn+Lgndxxf7T9u4ladCoFBQejtTSfbbMCPJQr8o0gJG7TwD4jA6JgI\nvJIUg5BBPn0buJ84Y2zHjgWmXrPgP7814tLlZlTfLEasXwK8ZK7x3+hh1B3euNBwG+YWOyKj4xDo\n6yl2pIdyx/cu/YRj6xoaGx99gzKH9wE/cuQI/va3v6G8vBxZWVmYPHkyYmNjsXz5cgBAamoqpkyZ\n0nX+okWL4OnpiWXLluHSpUv44osvsH37dm5BSEROIRUkgESAte3pl0N0dgK5pR7Y+7UPjl8Kg1SR\ngFHDEpG25FdYNTvBZcq3M40cEoz0fx6PSYlqDB7ajIKG06i11ogdq9cUUhUGyUJRXW3HkZxrYsch\nIhfl8Ax4Y2MjUlNTUV1djYCAALz++uvYvHkzpNKfppbMZjPKysq6zler1cjKysKaNWuQkJCAgIAA\nvPvuu1i3bp2jUYiIHis6bBBuNwTgctUdjB32+H3A7XbA0iAgv9wDBRVy3G0fBJUyErGDQ/Hqi7GI\njQh0+bXN/U3j74X1C1/Ep1kXcdSrGpeLzuNOez0ivWMhSFzvhsxhXkNwsaYKpwuqMCtxGNReisdf\nRET0Mw4X8Hnz5mHevHk9Pp6RkfHAsWeeeQYnTpxw9KWJiJ7amBgdjFe0OFFgwRCtDYPUnQ89r7FF\ngosVHrhYIUdtkxc85BrI5RoM1QZh9rgYPDcshMX7KXjIpVg+/VlEhfjhz6oiXCoqQ2F9I4b7joaH\n1LUKrKfMB2pBi6pqM45eKMOr42PFjkRELsZ1Pw1DRNQLo2N0iC3Qo7DsHvZ/ew1DQloRNqgDggDY\nOgBLgxQ1t6VovOsBuTwIHnINQjSBGBOjw/OxYYgK8WPx7iWJRILJo6IQrvHFvx0+j4KiOhivn0Ss\nejTUHgFix3sqYZ5DUXLdjFMFlXh5XAxkUtebySci8bCAE9Evikwq4M1Xx+KTIwqcL9Ggqv4WKm7d\nBQBIIIEg9YJU6o3AAC/EDwnG87FhiIsMYsHqQ0NCA7Dhnyfg3785jx8v1qHoylmEKw0IUUW4zC83\nPnI/SO+ocd3chIvXLHhuWIjYkYjIhbCAE9EvjtJDhn+ZNRr/9KtncOHKDdQ3W2G32yGRSBAS4I3w\nYF8E+3tDEFyjDLoitZcC615/Af+juYxvPctQVFSAO031GKoeCamkl9vTOJFEIkGwKhwWcyHOXKpi\nASeip8ICTkS/WD6eCkx8NlLsGL9YUqmA+ZMNiArxw3955eNSUTXyb99BrO9oqGReYsd7LI0yFKa6\nIly8ehMNzVb4eSvFjkRELoL/pkpERKIaMzwU7y0ZjwkveCMkshF5DSdw464Jdrtd7GiPJBc84CcL\nhtlixw9FA/h2p0Q04LCAExGR6HSBPkhd/CJemRyK+FEdMNsv4lJDDto6WsWO9khaVTgsFuBMYZXY\nUYjIhbCAExHRgKBSyPGbmc/h7defQ+LzcvhoLbhw+zhuWW+IHa1H/h5BuNfsgUpLM2obWsSOQ0Qu\nggWciIgGlDHDQ/Hh8kmYPiEIcSPbUNGWi5LGPNg628WO9gCJRAI/j0A01ANFFbVixyEiF8ECTkRE\nA46ftxJvz30eK195BmPHSCH1r8KFuhNoaKsTO9oD/BVBqK8Hikws4ET0ZFjAiYhoQLp/454Plk3A\nr5P8MDTuHkpazuBqUwE6Om1ix+vi5xGIhgaguLIOHR0Pv7MqEdHPsYATEdGApg3wxvqFSVg6YxjG\njhHQoa7A+dsDZzZcKfWErNMbt+rbYbI0ih2HiFwACzgREQ14UqmAl8fFYEPyi5jyoi+Gxt5Fyd0z\nuNKUj/bONrHjwVvuh5YWwHy7WewoROQCWMCJiMhlDNb4InXRi1g2MwYvjBUgC6jE+dvZMN+rFHXf\ncKXUE1YrcKvxrmgZiMh18E6YRETkUqRSATMThyEhRoc/HytEblEtSq/mw1xfiaE+I+At93V6JqVU\nhUYWcCJ6QpwBJyIilxQc4I21c5/HugWjMWGcEtrIehTeOYVrdwqdvmWhUuqJVitQ18QCTkSPxxlw\nIiJyWRKJBKNjdDBEaXD4TAm+O1eOsrJynK+tQZhnNEJUERAk/T/XJEBApx3oFHEZDBG5DhZwIiJy\neUoPGeZNMiDRMBh/PlqA/Cu3UVFRiOt1ZYj0ikGQMhQSiaTfXr/d3ga5HPBWevTbaxCR+2ABJyIi\ntxEWpMa7C8bh4jULvvxHMS5fu4PyCiOqbl9DlPdw+Hto+qWIt3e2Qa4AvFUs4ET0eCzgRETkViQS\nCeKHajFCH4wfL1fj6zMlKC1vQrnpHCpbAhDmqccghbZPi3hzeyNUAYCvt7LPnpOI3JfDC+NsNhvS\n0tKg1+uhUqmg1+uxYcMGdHR09HhNRUUFBEF44M+RI0ccjUNERAQAEAQJEg2D8a/LJ2PVXAMmJHkg\nbOhtVNtzkVN3DNfvlsPWB3fU7Oi0oba1GppgYEyMrg+SE5G7c3gGfMuWLTh48CAOHTqEESNGID8/\nH8uWLYNCoUB6evojr/3uu+8QHx/f9b2/v7+jcYiIiLqRy6SYMlqP8SPCceZSFY5eKEdZVQuqrxei\nsq4EwcpwaJRh8JL59GpWvOZeBXz9bTBEBSA0SN0PPwERuRuHC3hOTg5mz56NmTNnAgDCw8Mxa9Ys\nnDt37rHXBgQEQKPROBqBiIjosRQeMkweFYWJ8ZG4WGbB0QtlKLhah5ob11BUew1CuzcClSEIVITA\nS6Z+bBm32+0w36tETVsx4mOBaQlDnPSTEJGrc7iAT58+Hdu3b0dJSQliYmJQVFSE7OxspKWlPfba\n1157DVarFdHR0Vi3bh3mzp3raBwiIqJHEgQJnh2qxbNDtTCZG3CqoBLG0hu4cbMZt26VouhWKdDu\nCR+ZH7xkanjJ1fCUegMAOtGJDrsNDa21uGm9DkHZjJEjgYVTYxE/VCvyT0ZErsLhAr569WpUV1cj\nNjYWMpkMNpsN6enpWLVqVY/X+Pj4YOfOnUhKSoJMJsNXX32FBQsWIDMzE4sXL3Y0EhER0ROJ0Poh\nQuuHRb8egSvVdThfUgPjVTMst+6iufkuWu7W4EYzcK8FgAQQJIBEAHx9gZhoQBeswOsT4/BCXJjY\nPwoRuRCJ3e7YXQP27t2LrVu3Ys+ePTAYDDAajVi7di0++ugjrFix4omf580338SpU6eQn5/fdayx\nsbHr69LSUkdiEhERPZHOTjtuNllR22jFzUYrLI1W1De3QpBIIBMkEAQJgnyVMAz2Q5TGG4LQf/uL\nE5Frio6O7vra19f3gccdngHfvHkz0tPTMX/+fACAwWCAyWTC1q1bn6qAjxkzBn/6058cjUNEROQQ\nQZBA66eC1k8ldhQiclMOF3C73Q5B6L6boSAIeNqJ9by8POh0PW/flJCQ0Kt81L9yc3MBcHzcFcfX\nfXFs3RvH131xbF3Dz1dxPIzDBXzOnDnYtm0boqKiEBcXB6PRiN27dyM5ObnrnNTUVOTk5OD7778H\nAGRmZsLDwwPPPvssBEHA4cOHceDAAfzhD39wNA4RERER0YDmcAHfvXs31Go11qxZA4vFgpCQEKxc\nuRLvv/9+1zlmsxllZWVd30skEmzatAkmkwlSqRQxMTHIyMjAokWLHI1DRERERDSgOVzAvby8sGPH\nDuzYsaPHczIyMrp9v3TpUixdutTRlyYiIiIicjkO34qeiIiIiIieHAs4EREREZETsYATERERETkR\nCzgRERERkROxgBMRERERORELOBERERGRE7GAExERERE5EQs4EREREZETsYATERERETkRCzgRERER\nkROxgBMRERERORELOBERERGRE7GAExERERE5EQs4EREREZETsYATERERETkRCzgRERERkROxgBMR\nERERORELOBERERGRE7GAExERERE5kcMF3GazIS0tDXq9HiqVCnq9Hhs2bEBHR8cjrysoKMDEiRPh\n6emJsLAw/P73v3c0ChERERHRgCdz9Am2bNmCgwcP4tChQxgxYgTy8/OxbNkyKBQKpKenP/SapqYm\nTJ06FZMmTUJubi4uX76M5cuXw8vLCykpKY5GIiIiIiIasBwu4Dk5OZg9ezZmzpwJAAgPD8esWbNw\n7ty5Hq/57LPPYLVakZmZCYVCgbi4OBQXF2PXrl0s4ERERETk1hxegjJ9+nQcO3YMJSUlAICioiJk\nZ2djxowZPV5z9uxZjB8/HgqFouvYtGnTUFNTA5PJ5GgkIiIiIqIBy+EZ8NWrV6O6uhqxsbGQyWSw\n2WxIT0/HqlWrerzGbDYjPDy827Hg4OCuxyIiIhyNRUREREQ0IDlcwPfu3YuMjAx8/vnnMBgMMBqN\nWLt2LSIjI7FixYqHXiORSJ76dRobGx2NSv0gOjoaAMfHXXF83RfH1r1xfN0Xx9Y9OFzAN2/ejPT0\ndMyfPx8AYDAYYDKZsHXr1h4LuFarhdls7nbMYrF0PUZERERE5K4cXgNut9shCN2fRhAE2O32Hq9J\nTEzEqVOn0Nra2nUsKysLoaGhXH5CRERERG7N4RnwOXPmYNu2bYiKikJcXByMRiN2796N5OTkrnNS\nU1ORk5OD77//HgCwaNEifPjhh1i2bBnS09NRUlKC7du3Y+PGjd2e29fX19F4REREREQDisMFfPfu\n3VCr1VizZg0sFgtCQkKwcuVKvP/++13nmM1mlJWVdX2vVquRlZWFNWvWICEhAQEBAXj33Xexbt06\nR+MQEREREQ1oEvuj1ooQEREREVGfcngNOP1y3bhxA8nJydBoNFCpVDAYDDh58qTYschBNpsNaWlp\n0Ov1UKlU0Ov12LBhAzo6OsSORr1w8uRJzJ49G2FhYRAEAZmZmQ+cs3HjRoSGhsLT0xOTJ09GUVGR\nCEnpaT1qbG02G9avX4/4+Hh4e3tDp9Nh8eLFqKqqEjExPY0nee/e98Ybb0AQBOzcudOJCckRLODU\nKw0NDUhKSoJEIsFf//pXFBcX4+OPP4ZGoxE7Gjloy5YtOHjwIPbt24eSkhLs2bMHBw4cwNatW8WO\nRr3Q0tKCkSNHYs+ePVCpVA9sA7t9+3bs2rULH3/8MXJycqDRaDB16lQ0NzeLlJie1KPGtqWlBUaj\nEenp6TAajfjqq69QVVWFl156ib9Mu4jHvXfv+8tf/oKcnBzodLpebfNM4uASFOqVtLQ0nDp1CqdO\nnRI7CvWxl19+GYGBgcjIyOg6lpycjPr6enz99dciJiNH+fj4YP/+/Vi6dCmAn3ax0ul0ePvtt5Ga\nmgoAsFqt0Gg02LFjB1auXClmXHoK/39sH+by5cswGAwoKCiAwWBwYjpyVE/jazKZkJSUhKNHj+Kl\nl17CW2+9hZSUFJFS0tPgDDj1ypdffomxY8diwYIFCA4OxqhRo7B//36xY1EfmD59Oo4dO4aSkhIA\nQFFREbKzszFjxgyRk1FfKy8vh8ViwbRp07qOKZVKTJgwAWfOnBExGfWH+zdu8ff3FzkJ9QWbzYaF\nCxdiw4YNiImJETsOPSWHd0GhX6aysjIcOHAAKSkpSEtLg9FoxFtvvQUAWLNmjcjpyBGrV69GdXU1\nYmNjIZPJYLPZkJ6ejlWrVokdjfrY/RuiBQcHdzuu0WhQU1MjRiTqJ21tbXjnnXcwe/Zs6HQ6seNQ\nH/jggw+g0WjwxhtviB2FeoEFnHqls7MTY8eOxebNmwEA8fHxKC0txf79+1nAXdzevXuRkZGBzz//\nHAaDAUajEWvXrkVkZGSPd7cl98O1pO7DZrNhyZIlaGpqwjfffCN2HOoDx48fR2ZmJvLy8rod56pi\n18ElKNQrOp0OcXFx3Y4NHz4clZWVIiWivrJ582akpaVh/vz5MBgMWLJkCVJSUvghTDek1WoBABaL\npdtxi8XS9Ri5tvvLFAoLC3H06FEuP3ETJ06cwI0bNxASEgK5XA65XA6TyYT169cjPDxc7Hj0BFjA\nqVeSkpJQXFzc7diVK1cQGRkpTiDqM3a7HYLQ/a8GQRA4s+KGoqKioNVqceTIka5jVqsVp0+fxrhx\n40RMRn2hvb0dCxYsQGFhIbKzs7lLlRtZvXo1CgoKkJ+fj/z8fOTl5UGn0yElJQVHjx4VOx49AS5B\noV5Zt24dxo0bhy1btmD+/PkwGo3Yt28fZ0ndwJw5c7Bt2zZERUUhLi4ORqMRu3fvRnJystjRqBda\nWlpQWloK4KelYyaTCXl5eRg0aBAGDx6M3/3ud9iyZQuGDx+O6OhobNq0CT4+Pli0aJHIyelxHjW2\nOp0O8+bNQ25uLg4fPgy73d615t/Pzw9KpVLM6PQEHvfeDQoK6na+XC6HVqtFdHS0GHHpadmJeunb\nb7+1x8fH25VKpT0mJsa+b98+sSNRH2hubra/88479sjISLtKpbLr9Xr7e++9Z29tbRU7GvVCdna2\nXSKR2CUSiV0QhK6vly9f3nXOxo0b7SEhIXalUmmfNGmS/dKlSyImpif1qLGtqKh44Pj9P5mZmWJH\npyfwJO/dn4uMjLTv3LnTySmpt7gPOBERERGRE3ENOBERERGRE7GAExERERE5EQs4EREREZETsYAT\nERERETkRCzgRERERkROxgBMRERERORELOBERERGRE7GAExERERE5EQs4EREREZET/R8icJo/SafI\nsQAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1342,8 +1310,8 @@ ], "source": [ "P3 = [[2, -1.9], [-1.9, 2.2]]\n", - "stats.plot_covariance_ellipse((10, 10), P2, facecolor='y', alpha=0.6)\n", - "stats.plot_covariance_ellipse((10, 10), P3, facecolor='b', alpha=0.6)" + "plot_covariance_ellipse((10, 10), P2, facecolor='y', alpha=0.6)\n", + "plot_covariance_ellipse((10, 10), P3, facecolor='b', alpha=0.6)" ] }, { @@ -1355,7 +1323,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 23, "metadata": { "collapsed": false }, @@ -1364,7 +1332,7 @@ "data": { "image/png": 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OqrPWoVNSt+PH1Toz8p2Vlc24P0SaMYBOUUi3paHTZZMVzaCp7whNDj+5+Ta2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\nqqurkZycDKVSCbvdjszMTKxevVruaDTA7t0QLTw8vNdxvV6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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1374,9 +1342,9 @@ "source": [ "P4 = multivariate_multiply((10, 10), P2, (10, 10), P3)[1]\n", "\n", - "stats.plot_covariance_ellipse((10, 10), P2, facecolor='y', alpha=0.2)\n", - "stats.plot_covariance_ellipse((10, 10), P3, facecolor='b', alpha=0.6)\n", - "stats.plot_covariance_ellipse((10, 10), P4, facecolor='y')" + "plot_covariance_ellipse((10, 10), P2, facecolor='y', alpha=0.2)\n", + "plot_covariance_ellipse((10, 10), P3, facecolor='b', alpha=0.6)\n", + "plot_covariance_ellipse((10, 10), P4, facecolor='y')" ] }, { @@ -1396,7 +1364,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 24, "metadata": { "collapsed": false }, @@ -1405,7 +1373,7 @@ "data": { "image/png": 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QyNCALyCLJaAEh9lposPpNxkuL5vO1D0AUIRGpLu7u/UXf/EXWrBggW666Sat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\n8XK/okiP4Fe/+pXuuusu3Xv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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1414,7 +1382,7 @@ ], "source": [ "P1 = [[2, 1.9], [1.9, 8]]\n", - "stats.plot_covariance_ellipse((10, 10), P1, facecolor='y', alpha=0.6)" + "plot_covariance_ellipse((10, 10), P1, facecolor='y', alpha=0.6)" ] }, { @@ -1430,7 +1398,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 25, "metadata": { "collapsed": false }, @@ -1439,7 +1407,7 @@ "data": { "image/png": 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PpodskwBPCw5FdpkrBul6vc6tt97KAw88QCwWu+zltU984hP8/u//Pn/0R3/E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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1448,12 +1416,11 @@ ], "source": [ "P1 = [[2, 0], [0, .2]]\n", - "\n", "P2 = multivariate_multiply((10, 10), P0, (10, 10), P1)[1]\n", "\n", - "stats.plot_covariance_ellipse((10, 10), P0, facecolor='y', alpha=0.2)\n", - "stats.plot_covariance_ellipse((10, 10), P1, facecolor='b', alpha=0.6)\n", - "stats.plot_covariance_ellipse((10, 10), P2, facecolor='y')" + "plot_covariance_ellipse((10, 10), P0, facecolor='y', alpha=0.2)\n", + "plot_covariance_ellipse((10, 10), P1, facecolor='b', alpha=0.6)\n", + "plot_covariance_ellipse((10, 10), P2, facecolor='y')" ] }, { @@ -1465,7 +1432,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 26, "metadata": { "collapsed": false }, @@ -1474,7 +1441,7 @@ "data": { "image/png": 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+i68ewzDwBSL4Al6G/QOMBHQCAQuDXjua6kTV7FjNVtyODwK53Wq++D+OEELM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\nRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1485,9 +1452,9 @@ "P3 = [[2, -1.9], [-1.9, 2.2]]\n", "P4 = multivariate_multiply((10, 10), P2, (10, 10), P3)[1]\n", "\n", - "stats.plot_covariance_ellipse((10, 10), P2, facecolor='y', alpha=0.2)\n", - "stats.plot_covariance_ellipse((10, 10), P3, facecolor='b', alpha=0.6)\n", - "stats.plot_covariance_ellipse((10, 10), P4, facecolor='y')" + "plot_covariance_ellipse((10, 10), P2, facecolor='y', alpha=0.2)\n", + "plot_covariance_ellipse((10, 10), P3, facecolor='b', alpha=0.6)\n", + "plot_covariance_ellipse((10, 10), P4, facecolor='y')" ] }, { @@ -1513,7 +1480,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 27, "metadata": { "collapsed": false }, @@ -1522,7 +1489,7 @@ "data": { "image/png": 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W4wEAPVBpll++bdu2GDt2bMyYMSOuuOKKKCkpyXIcOGhtW9vjgjlPR9P6d6P9846dx1ve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\nAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1543,7 +1510,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 28, "metadata": { "collapsed": false }, @@ -1552,7 +1519,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1578,7 +1545,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 29, "metadata": { "collapsed": false }, @@ -1587,7 +1554,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1607,7 +1574,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 30, "metadata": { "collapsed": false }, @@ -1616,7 +1583,7 @@ "data": { "image/png": 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E12mn/qqrrnK2QDsajz/++HEVBAA4fvasefvXbTv1SX6f0+luv94L7E59Wmqy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\nSU8//bT69++vU045Rbfeeqt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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1636,7 +1603,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 31, "metadata": { "collapsed": false }, @@ -1645,7 +1612,7 @@ "data": { "image/png": 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2QWSkCewZGXDBBaWBftMm04KTkADZ2aXVeh8f+OADc+KsiIiUU+mdrX379nXj\nMkRE5FhSM/IAiAgNBIpKXgeU3PNgpb6kAl8mvxMV0Yj07HyK7aUXh2z8Bl5+13zSvDns22cOiEpP\nN4dJDRliRltec42ZehMdDUeOQGammXKzcaOZVb9wIVx2WW1+iyIiXuOYof6mm27CYrHw6quvYrPZ\nXJ//k3nz5tXoAkVEGrrylfrMMq89W6kvKjYtNvYyqT4qPJi/9h12hfo7DvzCw/FLzc3mzU2bTUwM\npKSY02NvuMH02Q8fDl99BRERpn8+Pd3Mod+0ybTnzJ9vQr+IiFTomKH+u+++w2KxYLfbsdlsrs+P\nxZNj1URE6jNnNT4iNBDyM0tf49lQ72yxsZepykeHNwJM4B+z/2dmb/+fuREbawJ9bCwkJ5tJNmPH\nmrGVt90GH35oJtrYbHDokOmn37zZ/NxXXjHhX0REjumYoX737t3H/VxERGpH2Up9TskoeFelvqQ1\nxxOcBfqyrTbRESbU37Z7NTNKAn1yYBhRCQmmQp+UZEbjPPggTJ0K999vRlz6+5s59cnJ0LYtbNtm\nvuDcuWaevYiIHFelT5QVERHPcIX60NKNss5Qn5ZVtyr1keHBjNv/EzP+Mi03B/waEZWbXlqht9vh\n//7PBPqJE+G558wG2IgIc79VKzPxBuDll0vHX4qIyHFVOtSvWrWKqVOnHvP+1KlTWbNmTY0sSkRE\nDIfD4Wq/CW8U4Lruar/x4EZZZ5Qv21N/3rcfMXP7MsAE+uYFWSQHhkFiogn0jz4KkyfDE0/Ak0+a\nDbBRUeZ+XBw4/1f4pZdKx1+KiMg/qvT0myeeeILGjRsf8/6GDRtYsWIFy5Ytq5GFiYgIZOcVUlRs\nJ9DfB3+/0j+yw+vARtmyYysBxu9bw/nffwnAAV8T6A/4hRCdaw7PYtIkU52fPNm8tlhMS45z8+z+\n/ea5F1+EO+6ovW9ERKQeqHSl/vfff6dXr17HvN+zZ09+/fXXGlmUiIgYGdmmiT4s2FTpi4rtOBwO\nQoP8AcjMKfDY2spm+nv3reb5HSbQJ/qH0LzQBPqYgkxsYCrzEyeatptHHzWB3rl5NibGVOoBZs+G\nO++s9e9FRMTbVTrUZ2dnY7Ue//HMzMxqL0hEREplluyMDQ32Z+veFK55ZgWj56zBx2b+PM5w7pz1\nAGel/r69P/LcjuUAZDduQkx+JvtLAr0VmH76pSbIP/206aeHigP9rFkwZowHvhMREe9X6VDfvn37\n47bWLFtRmRSkAAAgAElEQVS2jJNPPrlGFlVVkyZNwmq1lvvhPBFXRMQbOUN7SKAfC5ZvYP/hHNbv\nSuOnzfsAE/r/3gZTWxzA/XtX8czOr7ADCX6NCD5ymISAUOJKAv0DbS5izikDzIbYBx80P7HsvHpn\noJ8xA+66yyPfh4hIfVDpUH/rrbeybNky7rrrLlJTU13XU1JSGDt2LF9++SX/rgNjxzp27EhSUpLr\nx6ZNmzy9JBGRKnO234QG+/P5mr9c15f+sp2gAF8cDtN37wldP3yTp3d+jR1I9g0mtiCL7IhmxOZl\nAPCftgN45qTejPzzO7jvPvOT4uJMoI+OLg30zz8Pd9/tke9BRKS+qPRG2TvvvJP169fz4osv8uKL\nLxIdHY3D4SA5ORmAUaNGcXcd+EPZZrMRGRnp6WWIiNSIzFzTMx8S6McPG/a4rm/aeZDQIH9y8grJ\nyM6nUaBf7S7s2Wc5+41ZrkAfU5jNfr8Q4lIPAXBP24HMaNGTsft/5hHnAVRxcWYzbHS0mVcPMH06\njB9fu2sXEamHKh3qLRYLr776KsOHD+eDDz5gR8kc4bZt23LNNddw/vnnu22RJ2Lnzp00b94cf39/\nzj77bKZMmULr1q09vSwRkSpxVuqtFgvFdgc2q/m4IyGViNBAklJNi04sIbW3qOnTzaFRQJJfI2JL\nptzEFZh9VQ90HMqM6DO448AvvFBRoC8pBvHss3DPPbW3bhGReszi8FQzphssW7aMrKwsOnbsSHJy\nMpMnT2br1q1s3ryZiIgIANLT013Px8fHe2qpIiKV8t6Pu3nmk82c1zmSlVsOckabCLbsO0J+oZ32\nsaH8lZDB/HHnckqLY48crklRCxfS4vnnAcgICSc0M81U6EsC/dJ/3crlCR24Kel75v61BICEgDBi\n89IpjIjAJy0Ni8PBvnHjSL7hhlpZs4hIfdCuXTvX67CwsKPuV7pS75Samso333zD7pIDQlq1asVF\nF11EeHh41VdZQwYNGuR63aVLF3r27Enr1q158803uUfVIBHxQtn5RQAUFdkBiGsSRHp2ATuTs/Cx\nWswzeUW1spbIMoG+oEkTQg8fLhfox7S7mC923cLIg88xd5cJ9Pv8Q2mRl05BRAS+JYF+/113KdCL\niNSwEwr106ZNY9KkSeTnlx+hFhAQwKRJk3jggQdqdHHVFRQUxCmnnML27dsrvN+9e/daXlHdsW7d\nOqBhvwfVofev6vTenZgPfz8CbMPHPwgwof5ISagPDg4G0omJa0n37p3cu5BZs8yGVoCYGPwSE8mK\naObqoR9/8iBeat6DNact4ZyZ7wOwzy+UFvkZHAoIoVlamhlsP3UqcQ89RJx7V3tM+v1XdXrvqkfv\nX/Xo/SvfbVKRSk+/ee2115gwYQK9e/fm888/Jz4+nvj4eD7//HN69+7NQw89xOuvv17tBdekvLw8\n/vzzT2JiYjy9FBGRKskq2SiblWc+RjcOJDbCBPxiu+medPsBVC+8UDqdxjmGMjaW4JJAf2/bAcxq\ncQ63H1jLOTMnA7DPL4QWBRkk+QbTJC/TBPopU+Chh9y7VhGRBqrSlfqZM2fSr18/vvzyy3KHULVt\n25bBgwczYMAAZsyYwS233OKWhVbGfffdx5AhQ2jRogUHDx7kySefJDc3l5EjR3psTSIi1ZFfUAxA\nbkkbTngjfxoHmUk3xXbTklNQVOy+Bbz4IowbZ16XCfQkJGAB7m/Tn+db9GLsvp9dm2ITAkJpkZdB\nkm8QzQpzTPVo8mSYMMF96xQRaeAqXanfvn07V1xxRYWnylqtVi6//HKPbzw9cOAA119/PR07duSq\nq64iMDCQn376iRYtWnh0XSIiVZVfaAJ7Xr6ZRR8a5EtokC8ARcUm1OcXuKmn/qWXYOxY8zo2tlyg\nB/jlxrE8e9K5jNv/kyvQZzWJJDbPVOibFeZiw8HzXS+Ghx92zxpFRAQ4gUp9WFiYa4xlRXbt2kXj\nxrUzfeFYFi1a5NFfX0Skpjmr8NkloT4ssDTUFxa5sVL/8sswZox57QzyzmAPMHkyG08fzD13T2D6\njuVAScvN4YMk+zUisiALK/BIqwtYfOogNKpARMS9Kl2pHzJkCLNnz2bBggXljiS32+28/fbbzJ49\nmyFDhrhlkSIiDVV+oanCZ5f01ocG+REaaEK9M8w7q/k1Zu5cuOMO8/rvgd7hgMcfh4cf5tSP3iof\n6AsyyWkcQbOSQP9w6378t9X5WEum9IiIiPtUulI/ZcoU1qxZw8iRI7n//vs5+eSTATPr/dChQ3Tp\n0oWpU6e6baEiIg1RQUlgz8kvwmKBRgE+hJX01DsDf0FNhvpXXoHbbzevmzeHAwdML31Skgn0jz1m\nfjz1FD3mzcQOJJQE+kTfYKLT07AAE1pfyFMtzwNAkV5ExP0qXalv2rQpa9euZcaMGZx22mmkpKSQ\nkpLC6aefzqxZs1i7di1NmjRx51pFRBqcslX4sOAArFYLISWV+rySXnpnuK+2116D224zr+PiSgP9\nwYNgt5u++EmT4L//hQkTcAAH/EKJK8gkwa8RUYXZWBwOHms/wBXowZxILiIi7nVCc+oDAgIYN24c\n45yTEERExK0KyoV6fwCCA3zK3auRnvrXX4dbbzWvW7aEPXtKA31xMTz4IDz5pPkxcSIAOU0iaXH4\nIIl+jYgtyALgh2F38tTBaCjp9wdQphcRcb9KV+pFRKT2la3ChwSVhHp/E+pdlfqCaob6efNKA33b\ntibQR0VBaqoJ9P/5D0ydaqr0EyealN68OcGHD5Lg14iYkkB/X5v+LO93FYVFdsq20VvUgCMi4nbH\nrNTfdNNNVfov03nz5lVrQSIiUqpsFT60JNT7+1qxWS2uw6eqVamfPx/+/W/TL9++Pfz1FzRtCtnZ\nkJ9vwv4zz8Ajj5jDoywWs2n2wAFyIpoSm5oCwH/aDmB6i17ckmoCvo/N5lqXKvUiIu53zFD/3Xff\nnVCodzgc6psUEalhZavwoSXtNxaLhdBgf9Iy84BqbJR9+224+WYT6Dt3hi1bICICioogKwuuvbb0\n8KnZs8FqNS05Jb32QSXjLR/oMJjpMWcDkOQK9dYyoV5/N4iIuNsxQ/3u3btrcRkiIlKRiir1ztfO\nUF+lkZbvvw8jR5pA37UrbNoEYWHg6wvJyTBoELzxBtx0E7zzjrnerFnp5tmSQD++7UBebXUulJx4\n6wz1NltpkFemFxFxvxPaKCsiIrWrfE+9X5nXpQH/hNtvPv8chg0zE21OPRU2boSQEBPq9+6Fc881\nVfx//cs8GxgIjRubefXOMZfA72MeZObmQILLpHZXqC9z+rifj+3E1iciIifshDfKfvXVV/zf//0f\nt956K1u3bgUgKyuLH374gbS0tBpfoIhIQ1a2tSbI37fC1yc00vKrr+Dqq02LzWmnmUAfHGw2xu7d\na64tXAhXXWUCfViYCfyJiXDSSa5Az6xZ7P3XKKB8e40z1Jc9cMrPV6FeRMTdKh3qc3NzGThwIAMH\nDmTatGnMmzePhIQEAHx9fbn66quZNWuW2xYqItIQlW2t8fezseD7HazeehB/v9KgXOme+hUrYOhQ\nKCgw4X3DBggIgNatYft2aNfOtNpceaV5tmlT03Zz8KB5Zu9e83VeeAHuugt/P/OfvWXba5ybd61l\nLvr76j+FRUTcrdKh/uGHH2bFihW8/fbb7NmzB4fD4brn7+/PNddcw5IlS9yySBGRhqpsa82BlExm\nfbGVB9/6rdwzleqp/+knuPRSyM0tDfS+vtClC/zxhzls6o03TBX/119Nm43dDikpJuzv2mW+zuzZ\nMHYscPy2GlvZSr3ab0RE3K7Sof69997jzjvvZNiwYQQEBBx1v0OHDuzYsaNGFyci0tDlF5S21iSn\nmdaWvMLictf/sVL/229m42tWlumh37ABbDY45xxYt85U5F96CYYPh61boU0b82xqKnTsCPHx5uu8\n9BKMGeP6sv4lbTUVzaEv25JT9n8VRETEPSod6lNSUujcufMx71ssFnJzc2tkUSIiAsXFdlc7C+Ca\ndgPlq/PH7an/4w8YMADS082Um40bzWjKgQNh5Upo1AimTTPz6PfsMaMtDx40z3fpYkI+wJw5cMcd\n5b60s1feQUnLTZnqfNn2G1XqRUTcr9KhvkWLFmzZsuWY93/88UfatWtXI4sSEZHS1htnK0tqRmnh\nJCe/8KjnjvLXX3DRRXD4sAnomzaZ61dfDUuXmvab8ePh3nvNGMszzoDdu0sr+n/8YZ6fOxduv/2o\nL//3XvnoiEau12Xbb9RTLyLifpUO9SNGjOCVV15h5cqVRx0kMmfOHN577z1GjhxZ4wsUEWmonNV4\n53jItKzSUJ+XX3TUc+Xs2gX9+pmw3rlzaUAfORLee8+8HjIEnn7aVOV79TKHT+XklI65tFjg9ddh\n9OgK1+eq1Jf8Z0JMmVBf9u8JTb8REXG/45ZPtm/fzsknnwzAQw89xM8//0zfvn1p3749AHfffTcp\nKSkkJydz2WWXMX78ePevWESkgXD2yjvbWnLySqvzhcX2o55z2bfPBPoDB0xPvPN/WceONVV3MJtf\nP/rIJPJBg+Cbb6CwsHQTrc0GCxbA9dcfc33+rlBvUn1UeLDrnr3sMAWFehERtztupb59+/acc845\nzJ49m8zMTJYuXcqCBQvo0KEDHTt2pLCwkG7duvHmm2/yySefYLPpD24RkZri7JV39qcXFZcG5YJj\n9dQnJcGFF5o2mnbtTAsOwP33m1NkC0v+YRAfbwL9tdea2fVlA72vr6nmHyfQQ2mvvDPAX9itDXHN\nQnlq9IUUlmkJUk+9iIj7HbdSP3bsWBYvXsy4ceO499576d+/PyNGjGDhwoUEBQXV1hpFRBokZ3C3\nHD1cplyQdwX8lBTTQx8fbybY7NplxlI++CB8951pxXGy2eCGG+DNN024dwZ6f3/48EO45JJ/XJ9z\nTr29ZDNvowA/fntlNE3Dgnhq4Y+u59R+IyLifset1M+aNYuEhASWLl3Kddddxw8//MDw4cOJjo7m\nxhtvZPny5eXm1YuISM3Jd4X60lQfFmROki0q036TX1gMaWnQvz9s3gwtW8L+/ebU2PHjzTSbX34p\n/cJNm5rRlPPnm0DftasJ9EFB8MUXlQr0cHSlPq+giGaNg7FYLOSVGbmp9hsREff7x42yNpuNQYMG\nsWDBApKTk3nnnXfo06cPixYtYtCgQTRv3px77rmHX3/9tTbWKyLSYDin2pSt1Ec08i93D8A3NxsG\nD4b1680hUgcPmlNjb78dOnQwh0o5nXmm2fjqPAG8a1czFSckBJYtM607leQM685KfWZuPgCFRcXl\nQr0q9SIi7lfp6TcAQUFBXH/99SxZsoTExERmz55N69atmTlzJmeddRadOnVy1zpFRBqc4pJqfNn/\nEA0N8sXHZnFdCywu4NPf34aff4aYGFOxz82FUaPgxRdh3rzSnzx8OFx8MUyZYj4/5RQT6Bs3hq+/\nhvPOO6H1+ZZU6p2z9DOyTajPzCkASsO8RlqKiLjfCYX6spo2bcqdd97JzJkzGTJkCADbtm2rsYWJ\niDR0zixfts0x0M+HoJJedv/iQj79413OS98DkZGQnW1+/Otf8Nprpp/+r7/M/PmZM00Vf/JkU/rv\n1Mm06jRtavrte/Q44fVZrRZ8fUr/GnGG+cwcE+6d7TnaKCsi4n5VKp/Ex8fzzjvvsGjRIuLj47Fa\nrVxwwQWMGDGiptcnItJgOcN82Z1LQf42Av1t5Gbn8sHm9+iftpMU30CaOhyQkQFDh8Jbb5mNsHa7\nacVxHjI1a5a5fvLJ8OefEB1tRlke57Twf+Lv60NhkQnzGSVh3vnRGfjVUy8i4n6VDvWJiYm8++67\nLFy40NU/37VrV6ZNm8awYcNo3ry52xYpItIQOQv0f6/Uh/hYmL3lQy5NjSfVJ4Aciy8cOgR9+8K7\n75oQD2C1go+P6a1/5RVzvWVL2LYNWrQwgb6aJ4H7+dqg5EwsV6gvacPxtVlLnxEREbc6bqhPT0/n\nww8/ZOHChXz//ffY7Xbi4uK4//77GTFiBF27dq2tdYqINDiuSn2ZUn2QDZ5bt5ghKX+SbvPnkE8Q\nHfJSoVs3+PRTCAgofbioCG6+2Rwi5e8PsbGwfbsZd/nNN9CqVbXXWLYK7wzzznBvszkr9eqpFxFx\nt+P+SRsdHU1+fj6hoaGMHDmSESNG0Ldv33Lj1URExD3+PjDY4rBz2/K3uHD3b2RZfdkV0JjTs5PZ\nFtiE9kuXYgkNLX24oABGjDAHTgUGQrNmZm59hw4m0NfQ/66W7Zc/kpUHQHpJuLdZVakXEaktxw31\n/fv354YbbmDIkCH4+/vX1ppERITybTc4HMzYvowLD/xCns2HTUGR9Mw8wD7/UPqfdgO7mzbDVW7J\nyoKrroLly6FRIwgLg717zfjKr76CqKgaW6PzACqAtJJQn5ph+nF8rGZF6qkXEXG/44b6zz77rLbW\nISIif+MoHX/DUzu/ZtyBXyi0+bC+WWt6JsWT4hPIgFNvYF9A45J/AFjg8GFzeNTPP0NEBPj5wYED\nZj798uXQpEmNrrFspd4Z5lMzzUers1Kv6TciIm5X5ZGWddVLL71E69atCQwMpHv37qxatcrTSxIR\nqRJnpf7/dn7Hg/t+pNBiZWObUzgnKZ4sqy8XnzqcbcHNzLNgwnufPibQx8aaTbJJSdCzp2m5qeFA\nD6VVeKsFsnILKCgsJs0V6ksq9X7qqRcRcbd6FeoXL17M+PHjeeSRR1i/fj29evVi8ODB7Nu3z9NL\nExE5YQ7g/r2reHTHtxRj4aOmnegWv4ECq43Lu/yLtaFxOHtuHNu2wbnnwpYt0LYt5OebcZZ9+5oK\nfePGblmjs18+JMi0aKZl5pKaadpwnO1AqtSLiLhfvQr106dP56abbuKWW26hQ4cOzJo1i5iYGObM\nmePppYmInLCYd97g6Z1fA/Bm9Glcd2gzdouFR/qO5JuItq7nTs9MxKfv+bBnD3TpYlpwDh+GgQPh\niy9MX72bOCfbOEP94YxcVxuOw/WMQr2IiLvVm1BfUFDAb7/9xoABA8pdHzBgAKtXr/bQqkREqujV\nV2k7bRIAr8SdxcikDQC8dckoPmva3fXY+Wl7WLH+DSyHDsFZZ5lgf+SIOYTq008hKMitywz0N6E+\nLNiE+gMpGew/lAGA3W4vecbXrWsQEZEqnihbF6WkpFBcXEzU36Y6REZGkpSUVOHPWbduXW0srU7T\ne1A9ev+qTu/dsUUsXUrrSZOwADNjezA64TdsOJjU8nz29uhH1hrT3nJZylbe2/I+AfZi0s84g0ab\nNmHLyyP1oovY9dBDODZtcvtai/KyAfC3FgPw3Zr1xO8/BEBmtqnY796xjYK0utUGqd9/Vaf3rnr0\n/lVPQ37/2v3DYYH1plIvIlIfhH/zDa0ffxyLw8HGwZdz48GNBNqLmBvTjcdb9eX330M4cMCfUYm/\n89EfiwmwF/NFRDsabd6MLS+PlEsuYeeTT+LwqZ2aTXCA+XUalXzcsj+dzNwigvxt5BUWl3tGRETc\np978Sdu0aVNsNhvJycnlricnJxMTE1Phz+nevXuF1xsC5790G/J7UB16/6pO791xLFkCjzwCdjvc\nfTft332PgKI8Pm/WiTHtLgaLhdNOy+C6zR/x0F+fAvBBs84MSdmKzWGH226j6Usv0dRae/WaNr8c\nhp/3ERcTCVsO8vse03pzcvMm/LHbVOz79Dob3zqyWVa//6pO71316P2rHr1/kJ6eftz79aZS7+fn\nR7du3Vi+fHm561999RW9evXy0KpERCrp66/NgVFFRTBmDHz5JQHJiawMO4kbT72WYqsNq8PO8KVv\n8dBfn2AH3og6jctTtuLnsFN81ziYMwdqMdADhJb00gf4mb75vcnmL52W0Y2x2x0E+vvUmUAvIlKf\n1ZtKPcC9997LDTfcQI8ePejVqxcvv/wySUlJ3H777Z5emojIsf38M1x+ORQUwOjR8PvvsHUr2W3b\nMyT6CvJsvvgX5PLW1o/pf2gLBVYbr0afwR0J67ACU07qzf3PPYfNYvnHX6qmhZZMvfH1Kf+PiRbN\nQoHSqTgiIuJe9aZSD3DttdcyY8YMJk+ezBlnnMHq1atZunQpLVq08PTSREQqtmULXHwxZGfD8OFm\ntvzq1RAXx5Y5b3LEN5DQwjz+t+kdrj20hRz/QN7v2JsxJYH+0VYX8HCbi7DUcoXeyRnaC4uKObNd\naatj9w6xQGnoFxER96pXlXqAO+64gzvuuMPTyxAR+Wd79sCAAZCaCpdeCiedBFOnmoOili2j0BFK\nTH4GyzYt5NSsJBL9GvHr6b0Z/vMyAP7TdgDTW5j2wtqv0RvO0J6RU8DlvTvwW3wijRsF0PGkpuXu\ni4iIe9W7UC8i4hUOHoT+/eHAATjvPPjXv2DECNMTv3gxnHIKgUu+Z/Vvr9MqP51tgU34vEl77isJ\n9He2u5g5zXu4vpzFA603UNpTn5Gdz/8NP49OLZtxdqfmxO9PLXdfRETcS6FeRKS2ZWTAoEEQHw+n\nnQb//a/5HOCZZ0z1/rvv6DLiSnzz01kb0pxVoS24b/8a7FiY2PM65vh3LPclPZTpCQn0AyAzNx+b\nzcrV53cG4Le/Es39ID/PLExEpIFRqBcRqU15eTBkiNkM27YtvP02XHIJ5OTAyJFwzz0wezaMH49v\ncTFLwk9mb6Mm3LPvJ4qw8MKQW/kwtBPsLz/azFOV+saNAgBIy8wrd/1Ilvk8LDig1tckItIQ1auN\nsiIidVpRkWmzWbECYmLgiy/gzjth7144+2yYNctMv7nrLiguJuHm2zno34g79/1MgcXKtadcw/cd\nelBQZPf0d+ISERoIQFpmbrnrqSWfNym5LyIi7qVQLyJSG+x2uPVW+PRTCA+H5cvh+edh5UqIjYW5\nc03F/rXXICAA5s0jcO9ubk5aT47Vl6FdrufjZp3JKSgmN7+o3Jf2VOsNQHiICe2pmbk4HA7XdWeo\nDw9RpV5EpDYo1IuIuJvDAfffD/PnQ1CQqdCvWmWCvL8/TJwIl11mrjVvDv/7HyxYQPjXy0jzCWDI\nWTexrEk7AHLzi8gpKC735T3VegMQ4OdDUIAvhUV2svMKXddTM0yojwhRpV5EpDaop15ExN2mTYPp\n08HXFz76CKKi4N57zb0BA2D8eMjNhZ494ZVXYNQo+PVXCptFcn7LK9kVcRLkFgBUXKmv5W/n7yJC\nAsnJKyQ1I5dGJRtnU0t67BXqRURqhyr1IiLu9MorMGGC6ZFZsMCE+DvuMCEe4PPPzeubb4Y334Sr\nr4Zff4U2bfhr0SdsahRdLrRn5RaS/7eeeqvVs7E+okwLjpOzxz5CPfUiIrVClXoREXf54AO4/Xbz\n+sUX4brr4P33TT+9k78/PP20mVnfrx/s3w9du8KXX0Ke7agveTjTVOz9fKyuDbN+Pkc/V5ucwd3Z\ncgOlAV+VehGR2qFKvYiIO3zzDQwbZvrpn3zSVOcBDh0qfeaCC2DjRtN2c955JtCfe65rOo6frwnr\n9rIbULPyAfAtE+Sdz3mKczNs2Uq9q6delXoRkVqhSr2ISE37/Xe4/HIoLIS774aHHy69d/nlZhJO\nRARcfz18+625lpUFgweb6n5QEAD+vuaP6DKZ3sWE+sJyz3mKsxp/OD3Hde1whnP6jUK9iEhtUKgX\nEalJO3eacJ6VZUL79OnlZ07GxsLYseb1Rx+ZZwoKTFV//nyzmbbE3yv1FktpwPf3rTuV+tgmIQDs\nO5QBQGZOPkey8vD3tan9RkSklqj9RkSkphw8CAMHQnIyXHSRCenWY/wx+/rrcM01JtCPHWs20ZYJ\n9FAa3J2hPjig9H7Z9ht/D4f6trHhAOxMSCv3sXVMuMc38YqINBQK9SIiNSErCy6+GLZvhzPPNFV4\nP7+Kn33mGfj3v00bzqRJ5iTZCsK/cwOs3W5CfWiQv+teuUq9hzfKtm0eAcAOZ6hPNB+dYV9ERNxP\noV5EpLoKCuCqq1yjKFm6FEJCjn7O4YAHH4QHHjCfv/CCOXjqGIdH+fuZDsliu5ly0yQ0yHUv0L+0\nau/pnvo2MSWV+pIw7wz3zusiIuJ+6qkXEakOu93MmF++HCIjzSjKqKijnyssNNX5t94CHx8zk37Y\nsON+aZvVUq6Pvuym00C/0j++Pd1TH9OkEYH+PqSk55CRnc+OhFRAlXoRkdqkSr2ISHU8+CC88w4E\nB5sK/cknH/1MdjYMHWoCfVAQfPbZPwZ6AIvFUq4K7xwdCeWDvKd76i0WS7lq/c6EI0BpW46IiLif\nQr2ISFVNnw7PPmsq7x99BN26Hf1MSoo5VOp//4OmTeG778x0nEoqG97bxUXQt0sUdwxqj4/NWuEz\nntKmpCq/40Cqq1Kv9hsRkdqjUC8iUhULF8J//mNez58PAwYc/cyuXeYwqV9+gVat4McfoUePE/pl\nylbhC4vsTB1xJjf1O5n8wuIyz3i+k9LZarNt32H2JKcD0DqmsSeXJCLSoCjUi4icqK++glGjzOtn\nn4Xhw49+ZsMG6NUL/voLTjsNVq+G9u1P+JcqO9kmN78QH5sVi8VCbn5hhc94yqltzD6Cae/+SFGx\nnfYtmpTbzCsiIu6lUC8iciJ++w2uvNJsfP3Pf0qr9WV99x306QNJSXDBBbBiBcTEVOmX8y+zITYz\np6D0dW7p67rQfnPx2e2wWCAjOx+Ay3qe+D9gRESk6hTqRUQqKzERLrvMzKQfPhyefvroZ95/HwYN\ngowMuPZa00sfFlblX7Js+01GTn7p6+z8Cp/xlKiIRpzTOc71+ZBeHTy4GhGRhkehXkSkMvLyTIU+\nIQF694Z5844+MOqFF+C668zc+nHjYNEi8Pev+OtVUtnWmnKV+jIBvy603wBMGtmXNrHh3Dz4dHp1\naeHp5YiINCie310lIlLXORxwxx3w009w0knw4YflT4t1OODhh2HqVPP51Klm1OUxDpU6EWU3wTor\n9WTvjo0AABdQSURBVAVFxeQXFmO1WLA7HPj71Y1QP+Cstmx/+y4sNfB9i4jIiVGoFxH5JzNnmgk3\ngYHw6afmkCmnwkK47TZ44w2w2eC110o30dYAvwrab3LyzeQbfz8buflFdaZSDyjQi4h4iEK9iMjx\nfPVV+dGVp59eeu/wYbjmGrMxNijI9NNffHGN/vLleupL+uiz8opK7vmQm19UJ0ZaioiIZ+lvAhGR\nY9m+3fTI2+2mvebaa0vvbdpkTondtQuiokwF/+yza3wJZSv1R7LycDgcZOWacZbOwF8Xpt+IiIhn\naaOsiEhFMjJgyBBISzMfn3ii9N7HH0PPnibQd+sG69a5JdBDaU+9n6+NomI7OfnFpOeUD/V1YfqN\niIh4Vr0J9X379sVqtZb7MWzYME8vS0S8UXGxGVn555/QuTMsWGAm3djtJtxfeSVkZ8OwYbByJcTF\n/fPXrCJnv3yjALMxNyO3gMySSr1fmcAvIiINW71pv7FYLNx8881MmTLFdS0wMNCDKxIRr/Xoo7Bk\nCYSHw2efQWiomU0/apSZfGOxwFNPwf3318iEm+NxVuGDA3xJzcwlI6eQjJLRln4+1pJn6s0f5SIi\nUkX16m+CwMBAIstOpRAROVHvvmtGUtps8N570LYt7N5t+uc3bjQBf9GiGt8QeyzOKnxggC8A6TmF\npJdU6n1Kqvh1afqNiIh4Rr1pvwF49913adasGV26dOH+++8nKyvL00sSEW/y229w883m9XPPwUUX\nwYoVcNZZJtC3bw8//1xrgR5KK/WBfqYGk55TQHq2qdTbrOZ/CdR+IyIi9aZSP2zYMFq1akVsbCx/\n/PEHEyZMYOPGjXz55ZeeXpqIeIO8PNNHn5sLN91kToSdM8d8LCqCgQNNFb9x41pdVnBJL73zY/KR\nPJLT8wDwKTnRtlGgX8U/WUREGgyLw+FweHoRx/LII4+U65GvyPfff0+fPn2Our5u3Tp69OjBr7/+\nyhlnnOG6np6e7nodHx9fc4sVEa/W/KWXiHnjDXJbtuTP+fOJmz2byA8/BCBpxAj2jx1rWnJq2Wtf\nxTN3+V/0aNeUX+JTuKrnSWzZl86f+9PpHBfGlv3pzPp3D3p2aFbraxMRkdrTrl071+uwsLCj7tfp\nSv0999zDjTfeeNxnWrRoUeH1M888E5vNxvbt28uFehGRvwvcto3ot97CYbGQcuWVdLrlFgJ37sTu\n58fuhx8mtRbbbf4uOMD8Me1fsin2wOFc9h/OBsBeUpMJ9q/Tf5SLiEgtqNN/EzRp0oQmTZpU6edu\n2rSJ4uJiYmJijvlM9+7dq7o0r7du3TqgYb8H1aH3r+rq5Hv32GNmjCXQYuZMM7qyXTusb79Nmx49\naOPBpW06ZIPPttCkyf+3d+9BUV93H8c/v0WRiyw33WAVAfGS1Jg8aiBKUhVHI6TVpE1sTB6hxk5x\nJqMxps3YNqYFJ9VcOk4yDc4oaYmpmUlMr9HQYDMqimxaFTQqVtuIl0RBCHeE+Ajn+YOwdSMg3rK7\n8H7NMPI7e3b3y3cAPx7Pno2QdE5HPq1VQ/NFBQf0l9WvfdvN3RPv1Ng4DgnoCa/8/vMR9O760L/r\nQ//cd5t0xqtDfU8dP35cGzdu1Le//W1FRkaqtLRUP/7xjzVhwgTdc889ni4PgDerqpK++tqbZ56R\nsrIkLzgWNyRogCSpY6dkxxtPxX8jQp/Xn5ck2YMHeKY4AIDX6BWn3/j7+2vbtm2aNWuWbr31Vi1d\nulQpKSn68MMPZd3kM6QB+LjwcGnChPbz5mfMkD76SHrpJa8I9JJk/zLUN7X8n2Ju+e8eyjHRkao/\n/4XbHABA39UrVuqHDRumHTt2eLoMAL7Iz689yFdVSbfc4ulqLtOxCt9w/gulJI7Uus37JEmzEuP1\nh52lkjj9BgDQS1bqAeC6+Pl5ZaCXpJAvA3v9+S/0SPJY+dkshQT2U/L/xMmY9nea9fPjVzkA9HW9\nYqUeAHqrjpX6+qYvlDw+Tn94ZqpCgvq73pSK/fQAAIlQDwBerWO/fMf++WGDgt2uQ9hPDwAQ228A\nwKuFBA2QZUkN5y/oYmuba7y2sf1dZcMHBniqNACAFyHUA4AXs9kshYe0n8TTEeQlqbq+WZJctwEA\n+jZCPQB4uYgvg3tHkJek6oZmt9sAAH0boR4AvJwr1DdcEuq/DPgRdrbfAAAI9QDg9cJD2oP7pSv1\nNV9uxWGlHgAgEeoBwOt1u1JPqAcAiFAPAF4vwt7Nnno7oR4AQKgHAK/X6Up9A6ffAAD+i1APAF6u\nYzW+qu68a+zzOrbfAAD+i1APAF4uerBdknTqXJ1r7ERFbfttDrtHagIAeBdCPQB4ufihEZKkTz6r\nkSSd/+KiztU0yb+/n4YOItQDAAj1AOD1RgwJlyQ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1665,7 +1632,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 32, "metadata": { "collapsed": false }, @@ -1674,7 +1641,7 @@ "data": { "image/png": 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CDNgoG0uHjp0f7sO6f9mBluEALDLg14DXmofQG9Sjgb6mBmhrOz/Qu90M9ERE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\n75fo6Gj58ccfJT09XZ577jkR4fPvenim3oMNDw+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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1750,7 +1717,7 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 33, "metadata": { "collapsed": false }, @@ -1759,7 +1726,7 @@ "data": { "image/png": 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e+ydc16un1BquJ38fh6b1rDFrcMvKKJOIKtDT4Voul6vNK/OXyBQUFBT757Cu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\nAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2013,7 +1980,7 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 34, "metadata": { "collapsed": false }, @@ -2324,8 +2291,145 @@ "\n", "$$\\mathbf{P} = \\mathbf{FP{F}}^\\mathsf{T} + \\mathbf{Q}$$\n", "\n", - "In this equation $\\mathbf{FP{F}}^\\mathsf{T}$ is just some linear algebra 'magic' that projects $\\mathbf{P}$ forward to the next time step, and $\\mathbf{Q}$ is the *process noise matrix*. We are just adding matrices, so hopefully it is clear that each element in $\\mathbf{Q}$ specifies how much uncertainty is added to the system due to the process noise. \n", + "In this equation $\\mathbf{FP{F}}^\\mathsf{T}$ is just some linear algebra 'magic' that projects $\\mathbf{P}$ forward to the next time step according to our motion model $\\mathbf{F}$, and $\\mathbf{Q}$ is the *process noise matrix*. We are just adding matrices, so hopefully it is clear that each element in $\\mathbf{Q}$ specifies how much uncertainty is added to the system due to the process noise. \n", "\n", + "Let's take a brief moment to look at the behavior of these equation in more detail. I will project $\\mathbf{x}$ forward according to the motion model $\\mathbf{F}$ with the equation $\\mathbf{x} = \\mathbf{Fx}$. Then I will project P to the next timestep with the equation $\\mathbf{P} = \\mathbf{FP{F}}^\\mathsf{T}$. I will draw the original covariance in red and the new covariance in black." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Uubbj7HEtoSkiqHgXEWcwaZJ1/M9/IEcOs1mcwKpVq/j6668JCAhg8uTJ2Dzt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\nQUSEQxfwffr0ITw8nP/+97907dqV3NxcsyNd37/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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = 0.2\n", + "x = np.array([0., 5.])\n", + "F = np.array([[1., t], [0, 1.]])\n", + "P = np.array([[1.5, 0.2], [0.2, 3.]])\n", + "plot_covariance_ellipse(x, P, edgecolor='r')\n", + "\n", + "x = np.dot(F, x)\n", + "P = np.dot(F, P).dot(F.T)\n", + "plt.xlabel('position')\n", + "plt.ylabel('velocity')\n", + "plot_covariance_ellipse(x, P, edgecolor='k')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Think about what this means. The covariance for $\\mathbf{x}$ started at position 0, velocity 5. In 1/5 of a second the position naturally moves to 1, and the velocity is unchanged at 5. The black covariance ellipse is centered at (1, 5), as we would expect. But the ellipse has changed shape. Why? Is it due to the effects of wind, or wheel slippage that I mentioned earlier? No. Think hard about this before you read the answer - this is important, and it will be rewarding to figure it out yourself.\n", + "\n", + "The covariance matrix is ($\\begin{smallmatrix}1.5& 0.2\\\\ 0.2& 3\\end{smallmatrix}$). This means that the variance for the velocity if $\\sigma^2_{vel}=3.0$. In other words, we think the velocity is 5, but we have some uncertainty about it. We compute the next position as $position_t = position_{t-1} + .2_{sec} * 5$. But we are uncertain about the velocity 5, so we must also be uncertain about the results of this computation! After all, the velocity might actually be 6, or 4.7, or some other value. Our uncertainty about the position must grow from the initial value of $\\sigma^2_{pos}=1.5$. We can see from the graph that it has - the ellipse is longer in the position axis.\n", + "\n", + "Let's see this over a longer time period. I will run it for 10 iterations." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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7SkmaC70nOn0N6woVKmDHjh1iTOifM7SsoilFj0ajwe+//y7zOhYrVgxLliwR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\nusJsNuPIkSN4+eWXYbVasWDBg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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = 0.2\n", + "x = np.array([0., 5.])\n", + "F = np.array([[1., t], [0, 1.]])\n", + "P = np.array([[1.5, 0.2], [0.2, 3.]])\n", + "plot_covariance_ellipse(x, P, edgecolor='r')\n", + "\n", + "for _ in range(10):\n", + " x = np.dot(F, x)\n", + " P = np.dot(F, P).dot(F.T)\n", + " plt.xlabel('position')\n", + " plt.ylabel('velocity')\n", + " plot_covariance_ellipse(x, P, edgecolor='k')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can see that over time our uncertainty in the position grows. However, our uncertainty in the velocity does not. Why is that? Well, our process model states that the velocity is constant, and we do not model the possibility that there is error in the model (so far!). We assume the model is perfect, so the variance of the velocity does not change.\n", + "\n", + "But of course no model is perfect. Except perhaps in a perfect vacuum velocity will never remain constant. If we are tracking a car, for example, even if we set the cruise control the car will slightly change velocity due to the wind, hills, bumps in the road, imperfections in the cruise control, and so on. If the Kalman filter used the equation above it would quickly become over-certain in its computations. Recall that in the unidimensional Kalman filter chapter every predict cycle increased our uncertainty, and every update decreased it. The same needs to happen here.\n", + "\n", + "This is where $\\mathbf{Q}$ comes in. It is a covariance matrix that describes how much *process noise* is in the system. That is just a fancy way of saying how much uncertainty gets added to the system by things we haven't modeled.\n", + "\n", + "Let's rerun this simulation, but this time by using the full equation $\\mathbf{P} = \\mathbf{FP{F}}^\\mathsf{T} + \\mathbf{Q}$." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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ggAwMDAq8sVyEczRBTk4O3bx5k1auXEl9+vTJleJM3VeFChWoU6dO9Pvvv1Ns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\nokWLIJfzxwWHw+HoE35X5XA4nP8gMpkMMpmM/T8yMhKLFi3C3bt3c92Xw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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = 0.2\n", + "x = np.array([0., 5.])\n", + "F = np.array([[1., t], [0, 1.]])\n", + "P = np.array([[1.5, 0.2], [0.2, 3.]])\n", + "Q = np.array([[.0004, .004], [.004, .04]]) * 8.\n", + "plot_covariance_ellipse(x, P, edgecolor='r')\n", + "\n", + "for _ in range(10):\n", + " x = np.dot(F, x)\n", + " P = np.dot(F, P).dot(F.T) + Q\n", + " plt.xlabel('position')\n", + " plt.ylabel('velocity')\n", + " plot_covariance_ellipse(x, P, edgecolor='k')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I'll address the computation of $\\mathbf{Q}$ in the next paragraph. For now you can see that as time passes our uncertainty in velocity is growing slowly. It is a bit harder to see, but if you compare this graph to the previous one the uncertainty in position also increased." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "We have not given the math for computing the elements of $\\mathbf{Q}$ yet, but if you suspect the math is sometimes difficult you would be correct. One of the problems is that we are usually modeling a *continuous* system - the behavior of the system is changing at every instant, but the Kalman filter is *discrete*. That means that we have to somehow convert the continuous noise of the system into a discrete value, which usually involves calculus. There are other difficulties I will not mention now." ] }, @@ -2333,7 +2437,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "However, for the class of problems we are solving in this chapter (*discretized continuous-time kinematic filters*), where we can directly compute the state equations for moving objects by using Newton's equations.\n", + "However, for the class of problems we are solving in this chapter (*discretized continuous-time kinematic filters*) we can directly compute the state equations for moving objects by using Newton's equations.\n", "\n", "For these kinds of problems we can rely on precomputed forms for $\\mathbf{Q}$. We will learn how to derive these matrices in the next chapter. For now I present them without proof. If we assume that for each time period the acceleration due to process noise is constant and uncorrelated, we get the following.\n", "\n", @@ -2368,7 +2472,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 38, "metadata": { "collapsed": false }, @@ -2410,7 +2514,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 39, "metadata": { "collapsed": false }, @@ -2422,7 +2526,7 @@ " [ 0.001175 , 0.0235 ]])" ] }, - "execution_count": 71, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -2448,7 +2552,7 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 40, "metadata": { "collapsed": false }, @@ -2503,7 +2607,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 41, "metadata": { "collapsed": false }, @@ -2542,7 +2646,7 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 42, "metadata": { "collapsed": false }, @@ -2637,7 +2741,7 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 43, "metadata": { "collapsed": false }, @@ -2704,16 +2808,16 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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cDgdZWVmsW7eOsrIyamtrnaH7yK9HvhwOM037GIoWNA0Hw/WnPbx5YV8Dzc3m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\nTz5h9qOPsr2i4rDtZmBOTycvxQ7kl3f/jKFDesPk65EN+WghZrQIiT7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CiPabMKMjERPH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\nuRBCCCGEEOWAJOZCCCGEEEKUA/8fXY41SVmhmDcAAAAASUVORK5CYII=\n", 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BAcbGxgAMHz4ce3tb3nvvDUiKxX/DGrYnXaJTngtq6jHeea8dyVcv8eNfSzh1/ix5hfll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GlkZmYa1NNoNEycOJFNmzbRokULrK2tadGihcHfRWhoKNOnTwegQYMG+ulH0dHRACQkJNC7d29c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\n", 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J+bZt2/TYY4/prbfe0pYtW+T1elVUVKQzZ87E2ixdulTLly/XypUrVVVVpWAw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\nPjr2vqpPftCmBL27eNxeeb0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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2789,7 +2893,7 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 45, "metadata": { "collapsed": false }, @@ -2820,7 +2924,7 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 46, "metadata": { "collapsed": false }, @@ -2849,16 +2953,16 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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Y7NixAytXrkRRURG8vLzGohQiIiIilyeIAs4W5+CTo5lo7GwAQq7kIsECWCxOrUXnG4Gl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\nAAAQAH8AVCRO9ZEY6/EAAAAASUVORK5CYII=\n", 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zyGa2HfobTS31fd57cvwslsZdQ0LoBDzHjlUoF7lCWUzTNJ3Z4dGjR1m4cCFt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\nEZnAV3f8gQeXRQKtAAAAAElFTkSuQmCC\n", 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K6q9LEvupQ0zn1vwYAAAAuMh8CtIVFRUaMmSIsrKydNddd7XbdZVN06Z+PQap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\n+6z69evHGIGkhpvCEhISPF+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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2925,145 +3029,6 @@ "As you can see, both filters produce the same results. Feel free to vary the initial guess, the measurement noise, and the process noise; so long as you make the same changes to both filters the output should be the same. This is a solid demonstration, albeit not a rigorous proof, that both filters in fact implement the same math for the 1-D case. " ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Converting the Multivariate Equations to the Univariate Case" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "As it turns out the Kalman filter equations are quite easy to deal with in one dimension, so let's do the mathematical proof. \n", - "\n", - "> **Note:** This section will provide you with a strong intuition into what the Kalman filter equations are actually doing. While this section is not strictly required, I recommend reading this section carefully as it should make the rest of the material easier to understand. It is not merely a proof of correctness that you would normally want to skip past! The equations look complicated, but they are actually doing something quite simple.\n", - "\n", - "Let's start with the predict step, which is slightly easier. Here are the multivariate equations.\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "\\mathbf{x}^- &= \\mathbf{F x} + \\mathbf{B u} \\\\\n", - "\\mathbf{P^-} &= \\mathbf{FP{F}}^\\mathsf{T} + \\mathbf{Q}\n", - "\\end{aligned}\n", - "$$\n", - "\n", - "The state $\\mathbf{x}$ only has one variable, so it is a $1\\times 1$ matrix. Our motion $\\mathbf{u}$ is also be a $1\\times 1$ matrix. Therefore, $\\mathbf{F}$ and $\\mathbf{B}$ must also be $1\\times 1$ matrices. That means that they are all scalars, and we can write\n", - "\n", - "$$x = Fx + Bu$$\n", - "\n", - "Here the variables are not bold, denoting that they are not matrices or vectors. \n", - "\n", - "Our state transition is simple - the next state is the same as this state, so $F=1$. The same holds for the motion transition, so, $B=1$. Thus we have\n", - "\n", - "$$x = x + u$$\n", - "\n", - "which is equivalent to the Gaussian equation from the last chapter\n", - "\n", - "$$ \\mu = \\mu_1+\\mu_2$$\n", - "\n", - "Hopefully the general process is clear, so now I will go a bit faster on the rest. Our other equation for the predict step is\n", - "\n", - "$$\\mathbf{P}^- = \\mathbf{FP{F}}^\\mathsf{T} + \\mathbf{Q}$$\n", - "\n", - "Again, since our state only has one variable $\\mathbf{P}$ and $\\mathbf{Q}$ must also be $1\\times 1$ matrix, which we can treat as scalars, yielding \n", - "\n", - "$$P^- = FPF^\\mathsf{T} + Q$$\n", - "\n", - "We already know $F=1$. The transpose of a scalar is the scalar, so $F^\\mathsf{T} = 1$. This yields\n", - "\n", - "$$P^- = P + Q$$\n", - "\n", - "which is equivalent to the Gaussian equation of \n", - "\n", - "$$\\sigma^2 = \\sigma_1^2 + \\sigma_2^2$$\n", - "\n", - "This proves that the multivariate equations are performing the same math as the univariate equations for the case of the dimension being 1." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here our our multivariate Kalman filter equations for the update step.\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "\\textbf{y} &= \\mathbf{z} - \\mathbf{H x^-}\\\\\n", - "\\mathbf{K}&= \\mathbf{P^-H}^\\mathsf{T} (\\mathbf{HP^-H}^\\mathsf{T} + \\mathbf{R})^{-1} \\\\\n", - "\\mathbf{x}&=\\mathbf{x}^- +\\mathbf{K\\textbf{y}} \\\\\n", - "\\mathbf{P}&= (\\mathbf{I}-\\mathbf{KH})\\mathbf{P^-}\n", - "\\end{aligned}\n", - "$$\n", - "\n", - "As above, all of the matrices become scalars. $H$ defines how we convert from a position to a measurement. Both are positions, so there is no conversion, and thus $H=1$. Let's substitute in our known values and convert to scalar in one step. One final thing you need to know - division is scalar's analogous operation for matrix inversion, so we will convert the matrix inversion to division.\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "y &= z - x^-\\\\\n", - "K &=P^- / (P^- + R) \\\\\n", - "x &=x +Ky \\\\\n", - "P &= (1-K)P^-\n", - "\\end{aligned}\n", - "$$\n", - "\n", - "Before we continue with the proof, I want you to look at those equations to recognize what a simple concept these equations implement. The residual $y$ is nothing more than the measurement minus the previous state. The gain $K$ is scaled based on how certain we are about the last prediction vs how certain we are about the measurement. We choose a new state $x$ based on the old value of $x$ plus the scaled value of the residual. Finally, we update the uncertainty based on how certain we are about the measurement. Algorithmically this should sound exactly like what we did in the last chapter.\n", - "\n", - "So let's finish off the algebra to prove this. It's straightforward, and not at all necessary for you to learn unless you are interested. Feel free to skim ahead to the last paragraph in this section if you prefer skipping the algebra.\n", - "\n", - "Recall that the univariate equations for the update step are:\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "\\mu &=\\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2}, \\\\\n", - "\\sigma^2 &= \\frac{1}{\\frac{1}{\\sigma_1^2} + \\frac{1}{\\sigma_2^2}}\n", - "\\end{aligned}\n", - "$$\n", - "\n", - "Here we will say that $\\mu_1$ is the state $x$, and $\\mu_2$ is the measurement $z$. That is entirely arbitrary, we could have chosen the opposite assignment. Thus it follows that that $\\sigma_1^2$ is the state uncertainty $P$, and $\\sigma_2^2$ is the measurement noise $R$. Let's substitute those in.\n", - "\n", - "$$ \\mu = \\frac{Pz + Rx}{P+R} \\\\\n", - "\\sigma^2 = \\frac{1}{\\frac{1}{P} + \\frac{1}{R}}\n", - "$$\n", - "\n", - "I will handle $\\mu$ first. The corresponding equation in the multivariate case is\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "x &= x + Ky \\\\\n", - "&= x + \\frac{P}{P+R}(z-x) \\\\\n", - "&= \\frac{P+R}{P+R}x + \\frac{Pz - Px}{P+R} \\\\\n", - "&= \\frac{Px + Rx + Pz - Px}{P+R} \\\\\n", - "&= \\frac{Pz + Rx}{P+R}\n", - "\\end{aligned}\n", - "$$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's look at $\\sigma^2$. The corresponding equation in the multivariate case is\n", - "\n", - "$$ \n", - "\\begin{aligned}\n", - "P &= (1-K)P \\\\\n", - "&= (1-\\frac{P}{P+R})P \\\\\n", - "&= (\\frac{P+R}{P+R}-\\frac{P}{P+R})P \\\\\n", - "&= (\\frac{P+R-P}{P+R})P \\\\\n", - "&= \\frac{RP}{P+R}\\\\\n", - "&= \\frac{1}{\\frac{P+R}{RP}}\\\\\n", - "&= \\frac{1}{\\frac{R}{RP} + \\frac{P}{RP}} \\\\\n", - "&= \\frac{1}{\\frac{1}{P} + \\frac{1}{R}}\n", - "\\quad\\blacksquare\n", - "\\end{aligned}\n", - "$$\n", - "\n", - "So we have proven that the multivariate equations are equivalent to the univariate equations when we only have one state variable. I'll close this section by recognizing one quibble - I hand waved my assertion that $H=1$ and $F=1$. In general we know this is not true. For example, a digital thermometer may provide measurement in volts, and we need to convert that to temperature, and we use $H$ to do that conversion. I left that issue out of the last chapter to keep the explanation as simple and streamlined as possible. It is very straightforward to add that generalization to the equations of the last chapter, redo the algebra above, and still have the same results. In practice we do not use the equations in the last chapter to perform Kalman filtering due to the material in the next section which demonstrates how much better the Kalman filter performs when we include unobserved variables. So I prefer to leave the equations from the last chapter in their simplest form so that they economically represent our central ideas without any extra complications." - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -3075,7 +3040,7 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 48, "metadata": { "collapsed": false }, @@ -3095,16 +3060,16 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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CJrZClGywiTaIkg1i+0/75/ZttvafgiBHgFcwAr1DMcY7FP5ewZAL8rZOm4HL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\nM0IT4bGN+bZt27Bp06bHXmD27Nlu3chgMODGjRs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iNzcXADB69Gj85je/wcKFC81t1q1bh/feew+VlZWYPHkytmzZgujo6HZ6JCIi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\nLt6IHzkTj895Dr/+yZ/xu3/fgZ8uehm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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3195,16 +3160,16 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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x4xRCUL9+ferXr8/TTz/NgQMHXEH6lVKBuaIoiqIoyo3qb0G5zMlGeOo51TLf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\niB6ByMm70DK2IIID4P62yNn/g6OnEO9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Fiz8M6v8QiimwUcjb4s9t1znp6PyV0YW5jo6O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\n", 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NpE5rXxS1eFDudT4X72ad+fCl16hWzRVTU1P0ercSx6koClWdvKnq5E33pi9w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VH+utu75PTps2zY8Bf33lsDsLB27V7GjJnKtGn/R3q6F0eOHGfq1Km8+OKLN3wNERERkbtV6cv2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\nx1asWMHEiROZMmUKj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2+RDNKwg0M05fcEUFYly5EcMuB77xdyGkL0KYyza2ebP+MK7ZDC+9VO1rrwoV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6egUqm4+7iNMTEnIiIiqgP69OmDtWvX4saNGyblKSkpaNGiBUJCQmwUmWVcu3bN1iFYjLhPNpxk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\n", 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OyqvzfpUk6frkiLkk3YMcHBx45513eOONN3j33XdZsmTJTbVjbW3NU089xRdffMGsWbMq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wfGjh2L5s2bP+MT176H1q1bY86cOViyZAneeustSJKEmJgYdO7cGcePH8emTZuQlpaG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\nCDAxJyIiIiIyAv8HEztLbwEyq8AAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3263,16 +3228,16 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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3ibmyWlGLYlFdIyDE29HhCCGEEEIUZ++kvCqlnoLft2DKzCbhyXfYeWN7duw4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\nI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8R1t586vFWs9/+a4S4tNTiEtLJiEthYy8bPIK8yktK2uYWC4iN6OQzAQDLiY7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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3293,16 +3258,16 @@ }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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96rsnNdOyOaxdAHc9B++sgFaBMO6+ah+mtLSUM2dSDALvssfG0k/6AE+Yafgr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\ndu0qX3jhB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Ph3pBa22+lcjPB6fG+Xe5bgPzoqIikpMTmThxM0ePbkCRKwtJkiRJkmROp8+q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\nPl4Bdw+GnucYCX/qPvD3hnuGNF5851FWUU5ieqolGb+QvuB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gzDXXjGTjxv+gqubPxFtu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\nN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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3324,16 +3289,16 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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owFxRFEVRFOVKW7TIyF1u2RLq1i3/mNOrdRYWGukUXbtesFi5fxf8ZwZi2y7k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\n", 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1DxQ7d8YQGOilBd5A+/YjmTnzFRo0qAFYsX79Xpo0+T/atGmG0n8CbcfMIX3v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zAAAg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\nDBcXF9y9e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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3394,7 +3359,7 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 54, "metadata": { "collapsed": false }, @@ -3403,7 +3368,7 @@ "data": { "image/png": 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QZZhyHK8rwVw4jivLMGVZ3LoA+A9XJgAdwzJNmYbF+EebolMNwM8I1QA6xu86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\nbDQcFcoNZQs1VWuuEqGkeiN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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3426,7 +3391,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 55, "metadata": { "collapsed": false }, @@ -3435,7 +3400,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3489,16 +3454,16 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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HcKJHuGHJMpQaiVKgD06GZAdKM25ydPXpxeyCCt48927WrSs65OkdDgt1dQ2U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\nDg5i06ZNh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ph0ncvp+amtoG+10FdDbYcEVtHcUORgJm3MWGHrHExobh6urcpFNOTs7gyJES\nevfugKrCm2/+j6ysQl5/fSZgxNY2gA0b/uSuu2JQFBg1agL5+fnodFoNlYkTJ55o7KGHcHzzTfDz\ng4oKcHJq0hjO2gsvQE0NuuNLUWbMgK5dz09flxgJvIUQQghxeWjbFhwdyRk9mpx77qEoJYWdO3cy\nZswYVFXlp59+4IcflvDVV/8BzPj6qnzzzVoU5XoUBa66qh3R0W7odNrNiv0HdsallZGXvvqQ7PzD\nZ+y+srCG3X8eZNtvKdRU1TV6vnXrVtZZ7L5O9gx8/E2o1fZz+2Yedw4/9bIYi8WCTqfdaLlpUxIb\nN+7gsccmArZs336Ir79ewRVXXAvY07HjcJKSPkWnCwFg9OjxDBs2ynqzZMeOHU9/As7OsG8fuLuf\n8VwBqKuDH3+Ea689uyJCwcHw1VfsHToUY2YmoVOnNv3YFk4CbyGEEKIlsFjg+uu12ch3373Yo7kk\nqKpKSUkJbm5uAGy1WPjwmmu447770OtqOXx4P6++Oo/rr+8MVNGxowM//2xGp8sCYMiQGPr3f9Ea\nM4aE+BMS4k9RWQkbk7ayafd2KsyNM4acrDivnH0J2SRvzaK8SNvX2dmRLldE0759hHWpSExMG5yd\nT6rUvWEbdI6CrXvh7uvgWNBdXl5BSkomnTtHAbBu3VbmzVvE8uUfA0ZU1YevvlrPY4+9DNjQvbsj\nBw6Uo9Np2UoGDx7C4MFDrN24ublZX58maWrQDdrv4UMPwfjx2k2sZ6kiLo6KuDhC9fqzPralksBb\nCCGEaAm++QZ27NDKnv9LlZWVsW7dOkaOHImqqmzfvp0JE24hKSkeMOPmVsWPa1bxwNThQB0dOwYy\nenRfdLpiANq1C+Wzz16wtmc02mE02gFaEJ+SlcG67X+wJ2P/8To1p1R1tJqUbYdITsjGZHQmLi6c\nax4eaF2LHRzsd+Yqi307QcJn5O9J45Mff+NxFUAhI6OIceOeY+/ejYCRNm1MJCZOR1EiUBSFDh28\nmDt3PoqipSEMDQ1l2rRp//Ql/edyc7W12gCjR1/4/lsoCbyFEEKIS11trRbkZGSAwXDG3VsyVVWt\nQWtpaSmPP/4477//PqBiNhdzyy3jKSrag2KpJCpKpbS0EItlHzY2NoSGGlmy5CVUtQZFUTCZnHj0\n0fGn7Scz8zDbduwlYd8uii3F2Dg0zpt98v7lh824KCa6t4nhrqk3nbl8+rHjsrPzCAz0BaCoqJSr\nr36YjRuizRClAAAgAElEQVQXoar2GPyimPnCJB5+5HlsbJyIjIyhTZsPUFUf9Ho9AQFupKenW18T\nBwcHhg4devYvbHN79FEoL4cRI2DkyIs9mhZDAm8hhBDiUvfxx7B/P0REwK23XuzRNBtVVfn999/p\n1asXiqJQXV1NUFAQmZkHMBjqcXSs4Msvv2DevNtxc7PFy8vCzTf/H1V5O3G6+Vnsxw4lK2uZtT1F\nUejSJZo9e/Y06Ofo0Up27TpAUlIqSUkp7N2fQXldOZ5BLgRFemFrNGDDqYNug86GDm2iufKKPni5\nnnkZhqqqLFjwPXfccS2KoqO6uo6IiOspLNyO0eiKyRTK7t0Hyc/3w9vbGzc3hZdeepm6OiMGgwFb\nW1i+fHmDczIa/z64P6/274egILA9kX+c1au1G1nt7eHNN89uffe/nATeQgghWg5V1cpxe5yi+t7l\nqrISZs7Uvp81S0u91oLNmjWLhx56CCcnJ8DC6NHXs3nzLwQEuGMwVOHm5kBq6nJiYtqg08H//jcH\nO7taFEU773dn3AXDHoRt+2B/NowfDo72gHYTYnp6Dr/+mkBKShY5OQtJSkrlUG4eAeFeBEZqj3bD\nzpxisJWnD33ad6VLZAy2f/mUwWKxAFhveJww4Tlee+1R3N3dUVUHZs36hIEDr6V16wjs7Ozp1as3\nOTkGwsL8AEhISMDDw8M6i33vvfc2y2vb7GbPhunT4e234Z57Tmx/7z3t6zPPQGjoxRlbC9Wy/3qF\nEEL8u7z5JkyZAgsWwB13XOzRXBgLF0JODnTqpN1cebK6uksqEFdVlfSDB6jDjEWpw+TkwX13PMic\nOXOIjAwFzCxd+i0DBkTRs2cUilLN6NH9KSnZQ1BQOABbt36G47FAGmDYsF4nOsjIgSGTYX8W9aH+\nbJv3AFsW/URSUiqJians3Lmfiooq9DY6/ELdCYz0ovM1rRkW0AlFd+ZZWZ1OR4ewtvSJ60pr/0Br\nYLx58y4iIoJxdXVGVaFr1wl8+OFs2rfvCBg5cKCAxMQ6Bgxoj6LAlCmPAm7odFpKwF9//bVBP2Fh\nYef0Ol8wkZFQX6+l/5s4UZvhBm22e+FCbZs4K5fOX6sQQghxJsfyL3PnnTB0qPYR+OXurrtAr9dS\n5elOWg7x/vvajOTatdCmzQUZirmmiqKyPIrLCyg5WkhxeQHrVq/H0dMWvX0dJUcL+ebNdXQaGE5w\nlDcAO9M28+wb99B/aCe83TwYcWM3ymqyKCh1xsPFlbffblit8OSgG7Qy7fv3Z5G6JoG+T76JS3kl\nuw02DEzPIf/Gp3BwtsOzlQnPVi70ui4a32B3XNztmxRoH+fi4MQVMR3pFdsZk5MzH3ywGHOvWqKj\n2wA2PPfcR9x77ySuvvpqwEh4eBzJyTV07KjN9r7++tuEhIRYA/VHHnnkn7/Il5LrroOOHWH7dm2W\n+/h5GQza76U4axJ4CyGEaDmuuUYLBhYv1j76Xrbs8l9fajA0/Jj/uE2bICsLnn1WK7ndzOot9eQW\nHiQ9J5kDh/ZyqCCNvOJstq/dj4e/C0GRWmD9y4/b8G/tQbuewQD4hrhTdbTa2k6fUbHYORhIyUon\nJSsdDLAiKZ8VSevQKQruLq64O5sw2tmhqDqOllVSVFBOXm4R2Zl5ZKQf5mhpJR3NdQS42rI7wp2P\nWrnQK8AN70BXbO3PPpSpq64n2CeATu2iaBvUmrde+YZKNxXn7t5YLPZs2XKQ2lo3oqJGoih2jBhx\nAzqdFzqdFwCfffY5hpOWn3S9XIu/6HTabPeIETB3rvaG17lphX3EqUngLYQQomV5+21YswZWrNAC\nzptvvtgjujhmzoSvvtI+9n/sMW0pyjkorSgiIzeFTQkbyM5Pw6wvpqaumo1Ld+PoYkfHAdryiOqq\nWnIOFFoD77AO/uhOml3ueVVUg3ad3RrOYJ/MoqoUlBZTUFrc6DlbP2jt50Pr7j7WbR8f+xpzlud2\nOKMIL1cPhgzsQWRgKO+/vhTV4sSgW0YB9jg5/smWLflcf30UiqJw++33o9fr0em0mxrvv//+Bu0Z\nLvPMMg0MHw49e2pv9N5440QKQfGPSOAthBCiZfHzg1dfhdtu04p3jBz575yFCwqCyZO11+Kpp+Dn\nn0+7a21dDWUVxZRWFFNWUURZZTFlhbmU1leyZdM2snOz8G+rvYbb1qRSUWqmz6hYAFy9HTmSVWpt\nK6p7EJb6E1muQ9v5NujLaGuHm7MLDnb2FJWXUlxeyoVQX29Br9eW4hxIysVitjB+0lVEBEay+ocd\nZGbkM7LXPYCRHj0s7Ny5E50uEIDJk6eg1+utS0V69OhxQcbcIigKzJkD//0vTJhwsUfT4kngLYQQ\nouWZNAl+/x1uvPHfGXQf9/TT8OGHsGqVluJt0CCKy4+wLWUjyZmJlBwtpKAwn8KiIkweWtXE/Yk5\n5BwopO91WmCdcuAQ+3ccwr9tNwD8Qj04tL/A2kV0tyCUHlpAqigKYa0DcXN2wdXZRfvqZMLN2QUn\nowN5h4rZtyeDpMT9rEvaRWJiKgVFxZg8HHH1csLVyxFXL0dMXk54+rpgdLLln6gsr+ZoSRXega4Y\n9Dbk7C0hO6WAWfOn4O8ZwpLaNSz7aS3jBj8L6LC7sh0JCQnodCYAxo4dy9ixY63tefybsuT8E/37\naw9xziTwFkIIcen7a/YORdECzsvVY49pGSVuvfXvs5Z4eMCTT1K+4gd2HE1h2zer2b4rgdz0IiI7\nBwCQsTePHesPcO29VwDg6GIkN6PI2kSrNh4YbE+U7PYLdccvVMtX7WzRERIWTrBfACG+AQT5+GFn\nsOXw4UISE1NI+i2VpKT9JCWlsndvOnV19Y2G6OzsSFSb1seqOoZZy6e7uDhRXVtDQUkRZZUVmGuq\nMdfUaF+rzSe+r6kmI/0wiVtS6TEkCpOjC/npR/nhh428tvx1vFyD2bZtLw8++Ah9O0xEURQ6dazH\nxzsMRdHOKy4ujri4uHO+LEKcKwm8hRBCNN22bTBsmJbb9777Lly/zz+vlUyfM0e7ufJylpioLR8x\nGOD//q9R5hZVVSktLcXoYEfSgT9Ybsrlf9U5DM7QlprUmOvY/HOyNfD29HdBpz+RDcU70JWRd51Y\nSuFoMhJq8kWv1xPo5Uuwpy8ha3cS8t5PuBdVURnThhXjh/He4T+tQXZBQUmjYSuKQnh4EHFxYbRv\nH0FsbBjt22vl03W6UxensTPY0srLF5+6OjIzD9OxnTbmffsyePjhV1n+w9uoiiPJqbl8/uokFn+8\nEkWx58iRAjKSnsTPswMAXbr0ID4+3rpUxGQyYTKZ/ukVEOK8kcBbCCFE0912G+Tnw/ffX9jAe8UK\nSE6Gi1nB70KZNk0rFHTffRAURFVVFcuXL+f666+ntq6GX3//iXHX3cptzw+ltr6W6spa9iflMOim\njig6BTdvJyI6tbKWXndyteeau3vi7OCI6WgNLvsyMVXU4DJqCC6RbXBxdMLVyZm6SpU9u9NI+jOV\nb/aX4OBk4vmiKtx2HeDJqW+TdtIQXV2drTPY7dtHEBcXRrt2bRqlAjydykozn3++nLvuug5Vhby8\nUrp3v5XDh7eiKPb4+/uyfv126j6Ix+bdd4mYO5cnn3wKRXFAURS8vb1ZuHChtb3TBfZCXGok8BZC\nCNE0e/dqs7F6/XlJX3daeXmwdasWdJ9pnWl1NdjZXZBhNafjQTIbN1KzbBm32Nsy89ZrKdi5kkN5\naYwf9xDT3p1ESWURdfV11Ku1VFRUYms0YOdgYNTkE0Vm9DY6bpg0iM4R7WjTKgiTozNO9g7o6uqh\nxyTYnkzqrPtYV2JgxYLV1lnskpLyRuNaoiiMDPSha89Ybo8LPxZshxMY6GOdXT6dmppabG217B91\ndXVcc82jLF36Knq9PXq9A1OmvMpNN92No6MHfn5GQkPDOHrUHZPJhIsLJO/Zg82gQShpaeirqrhL\n8kaLy4AE3kIIIZrm1Ve1r3feCV5eF67f49k6+vcHB4dT71NdrS1/WbpUC9JPt98lIj4+nuiYthRX\nHCGvKIsRA27guTfvpzJ5KwUvXsWyOaux/3Y2Lh7aecT0Cib7cDb2TnYoisLE54Y0CHx9gtzw8/Ci\nU0Q7OkW0w8vVHYvFwsGDuayJTyApKZWkpFQOlFUQDnzzzLuNxuThYaJ9+wjatz8RYEdFhWBv37RP\nGX799U969+6A0WiHxaISEDCcpKQf8fZuhU5nz549Wezf70BkZDtsbeHZZ5+jutoBZ2ftps/Nmzc3\naC9w82ZIS9OKA/21YqcQLZQE3kIIIc7s8GH49FPtpsaHH76wfS9frn0dNuz0+yiKtt++fVoA/tJL\nF2ZsZ1BvqaeoLJ958+bSc2BHanWV5Bdn88KD7zJ0Qic8/bV1yAYH2LBpLf6ttewag8d1xM7+RK7o\n3tc0zFx9POh2d3Glc0Q7Ilu15sihEpK27ueX91ZTu3k3C7PyKS+vaDSmXTZ6YqNCiYsLtwbZsbFh\n+Pl5nnEW+2SzZ3/ExIkjaNXKFzDw6KNv8eGHr9K5czfAnpiYDqSmWvD1DQHg66+/oVWrYGsfTz31\n1OkbV1WYN0/7/vHH//4GUyFaEPlNFkIIcWZVVXD11VpAFBFxYfvOydG+/l3gbWsLH30EPXpoM/M3\n3ADnuZpgbV0tZZVFlB4tJu3gfmotldSqZkorinhr7sd07BuOg5cWfC9dEk9K0WZrzuvQWB9qq09k\nALl28hUYbE/8l3y8OM2pONo5YLJxoSzHzI61GSxK/IWMDO01agXsBhTgv4Cvr4d19vp4kN22bYh1\nCcjfOXy4AHt7IyaTEwC33PIsd9xxHX2u6Am/biU+PpWoqGKuvXYwimLghhvGU1/vhk6nvXn45Zdf\n0OtPZEvp1q1bE19Z4JdftDLlPj4wcWLTjxPiEieBtxBCiDMLDYVvv4X6xunizrsNGyA7GwIC/n6/\nrl3hkUfg5Zfh9tshIUELyM9RTV012flppOcms33fH5RVFfHSp09icFRx93UBYPnCzYTF+RNxLJNI\nRXUpKXv3E+sRCkCH/m1wdjux/KXnVdEN+jg56Aawt7XDzdmE3mJDRbGZw1lFJO/KZPvmFEqLG89i\n29oaaNdOS9lX/MdOQpIPknn7NTh8ME0r+90Ev/zyB35+nsTEhKGqCg8//Ab/938DmTDhJsAeJ6cA\ntm8vp+8z96Bs3Mjjr7yCX7su6HTaazxt2rQG7Z0cdJ+1+nrtDd6tt/47bqgV/xrnLfCeO3cu06ZN\nY/Lkybz11lvW7TNmzGDBggUUFxfTvXt33nnnHaKjo/+mJSGEEJeMk4OpRYvg3Xe1JSiRkee33zMF\n3cc9/7yWcWXnTnjlFa2i41+Vl8OWLfDHH9ojLg5mzQK0mxyLyvNJO7SX1Kw95BSlc+hIOtvXp+Dg\nbCSsgz8AKUkZOLgYrYG3X4g7NeY6axc9hkdhsDvxX2xwlA9/pdfp8HJ1x8vVHRvVQHlhJYcyCtib\ndJAdW1PIyso7zUvhc9I6bC0vdnh4EAbDsf52JEPHm3H4aCnsOgBr/wP2RlRVpba2zjrb/eGHS3By\ncuDGG69EVe355ZedODu7Eh19JeBAz55XcvSoDp2uFQAvvDAHR0dHlKMVsHEj/Zcv197onA/DhsHQ\noVr+diEuI+cl8P7jjz9YsGABcXFxDdaLvfjii7z66qssWrSIiIgIZs6cyZAhQ0hOTsbJyel8DEUI\nIcT5smEDbN6sBeBz5lzs0WgcHGDBAnj7ba265cm2bNFmwnfvBosFgBqDnszaAjZ+9zZp2clYHI5S\nVlnMnyv3oVpUegyPAqC+XuXQgQJr4N061q9BoN1xQFiDrhxdTszSOts74u3mgc/RWkxFZmzT87Hb\nl4NDSg72BaUMqLeQV1Pb6FTs7e2IiWljTdd3fC22u/sZ8lN3iISxQ8n8ahWlf+4idk86dI7ixRc/\npbi4grlznwaMVFU5sXlzCjfe2B5FURg5cjxHjhyxVnd88MEHGzTr6empfTN5Msyfr1XK3LLl/C3p\n0esbvtET4jLQ7IF3aWkp48ePZ+HChcyYMcO6XVVVXn/9dZ566ilGjRoFwKJFi/D29uaLL76QNEFC\nCNHSTJoEH3+szXi/8MKlEyQNGKA9/sLi4UFBbhoZXQJZ7udBkg6C+gVhQWX3Nx+Rk1bIkJs7AeDh\n60L67sPWYyM6tqK25kSg3SrME52i4OzghMnRCRcnZ0yOztr3js442tlTlF/GwQOH2bMrnRVJCfzn\n1z8Jqbc0GpcHYAz2s85iH//apk3AWS3X2LJlN7t2HWDSpJHw8qOsTc5mpbMz/+04BCxGoqL68+mn\n/0VRWqMoCqNHT2DQoGIURVuK0rt376Z15OYG996rBd9z58LixU0eoxD/ds0eeN91112MGTOGfv36\noaqqdXt6ejp5eXkMHTrUus1oNNK3b1/i4+Ml8BZCiEuNqmrZTPz8Tv18795aqrcDB7TZz5P+fb/Y\nSktLSdmfjIuXHRmHk/nxpx9Zs+I3Bj8zGICDe/PZtiaVgH6BAPiGuFFZbrYe36a9n3V2GyAo0JcQ\nvwCM6PF2caNz+4442WvFXA4fLtTS9W1NpXTdSjam5/B7alaj8ulfAd42Nqi+7tiHtsItOhT/Tm2J\nH9kPk6/HGc+ppqaW3NwCgoO16/Hbb9tZsGAJixbNQ1XtKSsz8tFHPzNx4pMo/ka6fv4Nuz/5BJ1O\nW+YyYsQ1jBw5yvpJtJ+fH36nu7Zn8vDD8MYb2rKevXshKuqftSPEv0yzBt4LFiwgLS2NL44VVjh5\nmcnhw9rMgY9Pw3Vu3t7e5By/Y10IIcSlIz4e+vWDu++Gd95p/LyiaLPezz4Ln3zS/IH3N99AYKC2\nlOEMM79ZWVksXryYBx98kMOFWbz/31d575VF3PhoPwBKasvJPVhg3d832K3B8hAPPxc8/LT12gYb\nG4IOVxC6I5MQG0dCXnwcl4jWmM3V/PTTauK37uHHb7eQlLSfxMQUCgpK8AJmA48CHwEbFIWwsMCT\nKjtq67FDQvybXGWxsLCEFSviGT9+OKoKiYkHuOOOF9i+/WfAiK+vnvXrXwDaodMpdOniyX331aHT\naTdxRkdHM3/+fGt753Sz41/5+mrr6f39ISzszPs3RVmZVvyoBRZAEqKpmi3wTk5OZtq0aWzcuNH6\nx62qaoNZ79P5u7yhCQkJzTVEcZ7INWoZ5Dq1DJfSdWrzzDO41deTYzaTc5px2XboQKyiYP7jD3b/\n+WfzLTepq6PDHXdgU1bGzsWLqfT3Jzc3l4BjN1kePnyYmTNn8p//vIteX0t+fjYznn+OWs/9ZBZk\nUWOuxcH5RADn5u3E2Mf7W3+2czAQEq1NBLnYO+Lj6oGPyR0fkztuji6Y43fT9r14XArLKF02jgme\nJr7IL6b+L0tFDMBTdgaerq3HyWKhXqfQe3gP/nx2Eo5ODcunm81l7NtX1mBbbW2d9abIkpJy5sz5\nnPnzJwO2FBRUc99984mN7Yuq2lJTE0x1NSQk5KHT6bBYLLz77rts3brV2l5ERMSF+x0aNEj7mpjY\nLM0FvPEG7itXcvCppyjt27dZ2ryU/p7E6V1O1yk8PPxvn2+2wHvTpk0UFBTQrl0767b6+np+++03\n3n//fXbt2gVAXl6e9R/O4z/7+vo21zCEEOK8UsxmPJYvp/Cqq1Av45k5u4MHcV2/HovBQP6YMafd\nr8bXlz2ffUZVeHiT09Y1hSExkXfLyrgrMJDqwEDMFRWMGzeO+PiV2NjUEhBgISkpEVXdycHCXHZk\npRDbP4iM/Ex0OgVbo4Gr7+phbU/RKRhsbTDobfA2ueFj0gJtFzsnsg8eISU5iz+T95GSkkVychZl\nZRW4o+XCvrK2joW5hfgp8G1rP8LDA4mMDCK6tR/jX/kax6x8AMr7tSfv8XGooX44nuKcLBYLmzbt\n5oorYlAUBbO5hn79HuD33z9Dr3fEwcGX1au3U1Dgh6OjCQcHleuuu57ycj1GowE7OwOff/65tT2d\nTtfoU+SWSl9WhtfixegrK6n1Pn0OcyFaumYLvEeNGtUgOb6qqtx6661ERETw9NNPEx4ejq+vL6tW\nraJz584AmM1mNm7cyMsvv3zadrt06dJcQxTN7Pg7VLlGlza5Ts3srbdg7lxCEhNh2bJma/aSu04f\nfQSqijJhAh2uvPLv9/2HYy4vL8fR0RGdToeqqvzf//0fS5cuxWi0Qf3+a/oBY4f2olMnFxTFhi5d\n2uLrW4WvryfVNQ4s/PYZftixjuKjpQB06NemUR9uziYiA0MJ9vXHVrXjUNoRdu48wLIkrYx6amrW\nKT+ZPV4+fVVMa3zTc+jw42/MmnkPE6+7AuBEGtx9ObA2AV57BOdhvXD+SzvTpr3D00/fhoODA6pq\nw4ABD7Njx6/4+QUD9rRq9RJGYywRx4oSrVq1iq5du2I8lrv6k08++UevbYszezZUVsKQIUSPH3/O\nzV1yf0/ilC7H61RaWvq3zzdb4G0ymTCZGqY4cnBwwM3NzfoP1JQpU5gzZw5t27YlPDycWbNm4ezs\nzLhx45prGEIIcf6YzSfKWN9558Udy/l05Ii2ZhuaNU/z0qVLGTBgAC4uLqiqSrt27VizZjmtW/uh\nqlUcOpTBjqTFxMQGU7d+JY86GMi9IoSawlTq6uv5+MtnKKkuIyF+JxuTEqisNp+2L3dHVxyqHclI\nyGP1x0tIStp/yvLpNjZ6oqJCiY0NOyk3dnjj8ul/7sLQrZ12I+FJ8h4bj2n+gxidtTnuq656iFdf\nfYzw8LaAkRUrEhgx4ma6d++GohgYP34iZWX2tGql3Uy5a9cubE4qh96nT59zeIVbqMpK7UZNgKlT\nL+5YhDjPzmvlSkVRGvzD9cQTT1BVVcXkyZMpLi6mR48erFq1CkfHU30oJ4QQl5iPP9bKl8fFwciR\nF3s054/FArfdpgXgZ1Hg7Ph9PcdnsB965H56DuyMt787VdVlPPH0DEZPGkxwpDdVNRU4e+t54YNH\n8WvthrmmmrirWrFo3RfY/mGAMW1gTBs+Kt8LX+w9c+fHHE4r5vefdpGTVtToOR8fj0aFZ9q2DcHO\nrgnVLbvHALB+/Q7CwwOIjtaSvtx4+2yefvp+Bg8eDBixsXEjMbGaiIhIFEXh+edn4+fXxlrd8bXX\nXmvQ7MlBd4tWVQULF8LNN4PpDHnG/2rhQu13rUuXU6aBFOJycl7/4teuXdto2/Tp05k+ffr57FYI\nIZpfdbWWsxjgueeadT3zJcfHR8ticoab43fu3Imnp6c1Jd2YMWMYP/4mgqJNrN22jBXrlrCv4A/a\ndtFS9vlFO5Oas49yW21N9MDxWpG14zPXXq3OMmA7pq62nn1bstix7gDF+UextTXQoUOEdfa6fXut\n8IyPz5lT9oG2Fvt45pHXX/+CuLgIBgzohqoaWb58O127KgwcGAbY06vXUAoKDNbqju+99z6urq7W\nSaerr776H51Ti3PLLfDdd1BaeupqoX8nOlpLTTllipYpR4jL2GXyVlsIIc6zJUsgOxtiYuBYETCr\n0tKzn+VrCf4SBH311Vf4+fnRt29fQOWNN16lY8do7r13HNU1pdjYFPLORzOIGqytte48KBw7B4P1\n+LjeoX9p/tyCLHNFDRmJ+dhVG+nWtgN3XDOG9u3DiYgIPlE+/QwOHszFYrEQGqoFzk888Sb+/r48\n+OCdgJH8fJX16w8yYMCdKIpC//5XYTAYrNUdZ8+e3aA9f3//v3bx73D33Vrg/dpr8NBDWgXRphow\nAH777Yxv9IS4HEjgLYQQTXHDDeDsDLa2J2a7MzO1mb7SUti+vcXP1h05cgSz2UxgoDZDPX/+fGxs\nbJgy5T7ATHLyNnbsKKdPH28UxczgwREUlRaybNMXbNy5FY+uTnjpXazteQe6nlX/qkWlrq6e+loL\n9XUW6uuPfa2rR60HOztbHO2NODs5Ed4qmOF9++Ln43VWfWzcuIOSknKuuqoPoOO//11NQUE5L788\nC7AnNLQr27cnoShtUBSF22+fTE1NjbW6Y79+/c6qv3+NwYO1pSIJCdqSrPvvP/s2WvjfjxBNIYG3\nEEI0haLA8OENt/n4QGoq5ObCypUwbNjFGds/tGXLFnJzc63LIT7//FNSU/fx9tuzATOenhbWrFmN\novRDUWD06C4UFZWh01WSU5BHvbuZ1CMp7EvQclvrbRrn8I4Mao23qzsV5WYK8kvIzS4kM+Mw+1Oy\nyckuoLqqlhpzLdVVdViO5cgODvazrsFu3yGCuLgwwsICm1QApr6+ntLSo7i7azPSP/30G/HxScye\n/RCq6kB6eiVLl675f/buO7yp8m3g+PecpGnS3aa7lLbQAaUtSyh7KkNEUEEZCsgPRUVFUHGgor4K\nOBiioIiCOFCmiosNyt60lFFaRmmhm+42TZuc948DgUIpBerk+VxXryYnJ895TkK57jy5z31z552j\nkCQD7dr1Y9OmTciyWtb2f/97FK1Wa1uNb9jwykopQjUkSU0xue8+eO89dQXczu7K/ZKS1KY74tou\n4RYlAm9BEIQbZW+vts6eMEGtdvIPC7zNZjO5ubm2HOw1a9awevVq3n//XRSljFOnEvjyy0XcdVck\nklTGbV5lpKSUIMupADzwQAcGDmyHJEG52YzBXQcWC3O+/4ajp09c9biaSgsB2RYSzknMW/ALhw+f\noKKi8or9HB0NREeH2ro7RkeHEh0dipvb5UX5ri4zM5e4uCR69GiDosDPP2/j44+X8+uvXwIGXFwi\nWL9+EW+/HYMkQZcu/dFqPZFlJwC6dOlCly5dbOPpdLW40FKoXv/+0KgRHD0KP/0E995b9fEVK9RO\np/36wZdfihVu4ZYkAm9BEISbMXo0TJ4Mf/yhtlhv1+7PO1ZhIbi4XPXhs2fPsmXLFu6//34URWHT\npk1MnvwWGzb8CJhwdS1lw4ZfgQeRJCvt2/tRVNQWWS6AnQl0fOhVOtzblbyiAs5kZ3ImJ1P9nZ1J\nTjvLh4wAACAASURBVME5rpWBW15agWXzCaZvOcnhonKev+Sxhg3r2aqJXGihHhJSTfv0a+T5pqSk\nM3fuCt5+ewyg4cyZMsaN+4CDB+8HDDRr5kFu7jfIsppP3rp1V77+OtS2gh0YGMjgwYOvcSbCDZFl\nmDlTDajvuOPi9spKdTX8Qs8OkwkqKtS0LUG4xYjAWxAE4Wa4uMCYMWoDkKlTYeXKuj9GWppa8SE5\nmcING3Dx8ADg1KlTvP766yxYsABFqSA//wwvvTSBAQNiARPR0TImUx6SdByTuZzABvZ88PE4ktKO\nU2oyUVpuIqipFz9tXU/pyk1kPdGOM6GulM6fdV3Ty88u5sCm4xzZnYrR3p4PSitoAyx6czTBt8cS\nFdUQZ+dapBZk5FAZO4LDHZsR8/VbAJw5k03Pnk8SH/8jYMDR0cBHHy3lzTc/QqMx0KRJYzp0+BVJ\nUutuBwU5sXv3btuQer3+mi2chTrUs2fV+xkZ8MAD6gdTjUZNQxHVS4RbmAi8BUEQrmbpUkhIUAMF\nd/er7zd2LHzzDbRvr67Y1lFQYSou5ocxYxi0YgUUF3PWYKBZaCgZOSmACQ8PE0uWfMdn7z6MxsuJ\n8HAr99zbkVMZ+0lKO0VS6im6joxm3IdvY71WxQh/HeAF11zXvigvvRipwI7wemEMfKEPMTFh1K/v\ni7R4DUQEMbhZxDVfC4vFwvTp3/Dccw/Bqh1UnM4g9ts15H32ITqdCz4+oZw+nUV+vh8eHh54esL8\n+QtQFDskScLe3p65c+fWes7CX2zqVDXo9vWFJUvgVmwQJAiXEIG3IAhCdSorYeJE9WKwBg1g+PCr\n7+vlBceP31Bt74qKCuzOX4RmsVgYOHAg3377LZr9+5BHP8rD++PoCzj0uwOfmc/j2HUE+fl78PBw\nwSXzNGs8XEgb9QInXh1C0tlUpAblzFz6xY2dcw0URUGqkHFzcCHYP4D2LVoQERRS/c6Dqq56lpeb\nsbPT2tJK7r57HF999RYuLh5IkoHp079j4MD/EfRbAgagV5MmZGfbExjojSzD6dOncXO7WCFlwIAB\ndX5+wp9k8mS1uc4bb6jBtyDc4kTgLQiCUJ3Fiy8G3UOHXnv/Wgbdq1atokuXLuj1ehRFoX79+uzf\nvxOdzoQsl7Nnzw6OH19L+MGd6PbHMdbFkeIPn8dx2F1ogOTjP5CTf47N8XtIOnaUpDGtKHGwg20b\nbu58L6FYFHTY4+fhReOGDYgMDcXf0xt7u9rl5G7evJ+YmDBcXZ1QFGjefChLlswiMjIKMJCZWUp8\nvJUOHZogyxKTJr2BFhekNesA+H7FCjhf0hCoEnQL/zIODiC+kRAEGxF4C4IgXM5igbfUHGMmToTr\nbOutKIrtYr5XXnmFRx99lMDAQBSlggkTnuXzz2fQsmUEYCIiIoCkpLUYjWpQ+8UXr+LjY0B6+C6s\npaWM69+e1OI8tv2xltSsdNKyMzCZyy8ezKGakm3VMJdXUl5aQXmZmfLSChQLODk4YHR2poHGDmPz\nxoSF1CfILwBPNw/k60iXmT17Cd26taJRoxBAx+uvz+fZZx+nV687AT3R0beRnFxJVFQwAJ99toD6\n9evbXqPHHnsMtm6F/HwIDVV/BEEQ/oNE4C0IgnC5pUvVkmjBwWqDnBrEx8fj5+eHl5fayOWuu+5i\n/Phn6NJFvcBx377t7NnjT2BgRyTJzODBXVGUdGRZbV++bt1stFotCYcOUVBahIOPIxvit6tBtiaD\n8uXHrnv6pUUm0pJySDuWQ8apPAL9fImJDiMmJpKY9mp97Nq2TwcoLCxGUcDVVS3B99xzH9ChQ3Pu\nvrsXoGf37hQ0Gn8iIvoiSTruuWcIGo23eo5WK996eiGnpMCaNdC4MdFRUVfmfh84UH2tdEEQhP8Q\nEXgLgiBcbvt29ffLL1/RBGThwoVEREQQGxsLKEye/H/06tWVYcP6ASYCAhw4lLCGrr75SJEhTJw4\nBD8/T8yVxeQXFdJ/SCfyigr4edtG8ooKOHcyhbwKE/lKxbUvgLwKU6kZQ3Iu9yZlc7xMJrF7e7r1\n7EjM86FERATXun36BXv2HEajkWnevBGKAhMnfkJQUBDjx48B9Dg4BLB7dzb9+jVCkiRGjx6Lvb09\nsmwPwJOXdi1MTUWeM6fqARwd1S6HmzZd3DZmDAwcqJaZEwRB+I8SgbcgCMIlzpw5g/W55wh86CGI\nieG1117Dz8+P0aNHACYSEnaSmnqQ1q1dkSQTPXpEotPlIcsZAMyYNBJD98cxvTWXLctfIf7MSXIO\n5VNSVlpnczSVminLq8BBMtDAL5BWsdHEjArF8+gpOndsXv2TrFb4aAmM6g8O+irpMD//vJmcnAKG\nD++LotizceNhUlOzadr0TsBAq1a9SUxMRJbVvOuxY59Do9HYnt+2bdurT9bREWbMUL9BOHJE/cnO\nhuLiK/f19r6Zl0UQBOEfTwTegiDc0jZt2kRxcTF9+vQBYP78eRQV5TN16ovAWTw9rezfvx5Jao0k\nwdChHTCZzMiyGkiPHHl31QGNzqzqHMzv9RtTum/rTc/PbKrEUqLgqnemQUAgLaOb0CK6ka0SShVe\n1Zc8LMwvJPPRyYQtXQfrd/HtoJ5s3LiXTz6ZDOgpLnbkhx/WM3z4y0iSlu7dB7J7925kWR1v2LBh\nVU/RWPs0FTw91XKMl8rNVX8EQRBuMSLwFgThP62wsJDc3FxCQtTSd4sXL2bv3r1MnfoWYOLkyYOs\nXbueO+8MR5LKiI31YsuWM8jyGQBGjuyJLPe2pSQ3axZR7XFKTGVs2r+T3w/swtTY9Ybmai6rRGvR\n4unsQURwCG1axBAcEGBbWa6tlJR0tmw5wNChvVEqLWwZOJEZ67azRm+PMmYsQU4e7Nu3AkkKR5Ik\nunfvj79/BJKkBvMtWrSgRYsWN3QOtWI0qj+CIAi3GBF4C4Jw/VJS4NNP4fnnoa5KvSmK2mijZUtw\ncrrhYY4dO8aOHTsYNmwYiqKwbt0a5s//nJUrvwTK8fSsYMeO9UjSICRJoWvXYFxc2iHLRQD06NGG\nHj3a2MZzcnKo8XjFZaWs272VzfF7qLBUXnU/i8VKcX4Z1rwyuuWVkSXrKIhoSIPg+sQ0CcdOsmBv\npyMyMrJW51lebsbeXq2EkpycypQpX/DZZ5NQFHsKCrS88cYCBt//BNJ9w2m+bjsOGg3SL78idetG\n68pK/vjjD1tA7+XlZbs4VBAEQfjziMBbEITrN3myGnifOqV2bKwLX34JI0bAV1/Bgw9edTez2Uxq\naioNGzYE4MCBA0yZMoXvvluEopjIzz/N9Onv8OCD7QETMTF26PVmZPk0AO3bN2Dp0ilIknohY3Cw\nP8HB/mAqB719jVNUFIX09Bzi45PYH3+UE+dSsPOU0Nppqt3fUGqm5ZYU/giJIKpJI5q1jVDbp5sr\nwFj1A8vhw4drOOcKtm6No2vX2wBIS8siNnY4qalbAANGoxuLF69j7twlaDR2NG4cxtChw5D2JyP9\n9DN+dnb8uHYtdO4MgFarRXudJRIFQRCEmyf+5xUE4fo98YQaeC9aBHPmgOuNpVbYKAq8+65628Oj\nykN5eXl89dVXPP300yiKwsmTJ+jVqxfHj+8DTPj4mFm3bjWKEockKURFGRgxoheynA9AaGg9li17\n1zaeXm+P/vIAu9wMzYfC7a1h6lPgaKCszMShQyeIj08iPj6Z+PgkEpNPoXPRUD/Cm8g29TH4Vf9f\nqJ2sJTY8hr5z1mEYMID7H7rzumqBWywWJk6cw+TJY5AkDVarjjvvHEtOziEMBg/8/Bpjscjk5Rkx\nGo24u8Pq1auRJPWCRzs7OyZNmgSrVsEdd8CkSWo7e0EQBOFvJQLvy2Tnp/Pr9kUoKPRt9xBGV5+/\ne0rCv92pU2rnthdeqLu0jL9b06bQpYtaDm7+fBg37oaHslqtHF+4kLDDh8HPj8LWrenZti1bt24F\nytFqS3jxxRd47LHeaLWVNGxYgoeHgcrKY+h0dvj5adixYwGSZEWSJBwc9DzzzJBaH19RFPJfmYP7\n0VNk5xYwNj2X/YeOk3w8DaOfEz7BHvgGuRPY3p2ofjUHr04GB7q3bEuH6Nuw1+mgZ5+r7ltQUIyT\nkwGNRl0tHz78bWbNehar1QFJMvDNN2sZNWocDRtGYm+v5cEHHyI/X4+jo3rB45kzZ2zPBWhfXWDd\nq5f6IwiCIPwjiMD7Mt+smcWJ9CMAnEpP5KWHPsTeTv83z0r4V+vbFxISIDNTDVL/K8aOVQPvDz+E\np58GTfXpFpdTFIWpU6fy/PPPo9FosFqtNB01imzAMGY4ju5FJCUdJSNjPX5+Hjg7w5tvjqaiIhOd\nzoAsS+zd+3WVMUNDAyk1lVFQUkRBSTGFJcUUlBRReP62goJOa4eMTEFBCbnZ+WRm5HH2TA4lJ9N5\nragMp2g/XreTybFkEtUrkG71otBoa3dOLg5OdG/ZlnbRLa7aVn3t2h20bNkYDw9XFAXath3JokUz\niYlpBhioqNBx8KCVNm3U2tjvvTcNR0dv2wWP8+bNqzKeppavtyAIgvDPIQLvS5SWF9uCboBzRdms\n27OCPm1rv3omCFWkpalBN6hdEP9L+vaFkBA4eVJNaehzcXX31KlT+Pv7o9OpQWiPHj1YuHAhPj4e\ngIl58z6hf/9YIiIC0Bw7RHerlbM6O8JG3w6ac2zfPh8vLxe1kkhCMs/d2R4cDVgVhbSsdBJOJpGe\nk0VBaTGFxUUUlBZjsViua/qyJ9TzdIem7iw+vy3w/E9tuTo5c3vLdrSNao5OW7W83wcffEu3bq2I\nigpDUXS8//5innjif/Tt2xwwEBvbidOnFZo1U4/4+utv4unpabvgcdCgQdd1PoIgCMI/nwi8L5GR\nm3rFtvV7v6dNZHeRciLcmAsr3AMHwmuv/b1zqWsaDUybBhoN89PT6XnmDP7+/gD079+PuXNn0qpV\nJFBOeXk+hw79hK9vSyQJJk4choNDKbJcDMVF/HRbJLSIAE81FScsrL56jBNpVPR8kmOBLiSM70dC\nYTYFJUV/0wmDLMvU8/Qh2K8eXs5GGtdviLeXmpP+7LMziY2NZsCAuwE9CQmZaLVpREXdiyRpeeCB\nETg6BthqYy9YsKDK2PXq1furT0cQBEH4i4nA+xLpuaev2FZpqeD7zQsYddeLf8OMhH81iwU++0y9\n/eijf+9cblJ6ejoORUW4vvsuPPoojy9YwODBg+nQrw9gYsXdA3Bxs3Dvvd2QpFI6dYokLy8Bi9WB\n5DMpjH91IMZ6DmScy8LZwYmHR/ZDvlCbunUU7FqoXuB4XlFpCYdPJXMw6QhHx7fDrJUg/cRfft7u\nTi4E+QUQ7BtAcXY53m5G2sRGoyjw7LMfsN37OBMmPA0YcHMLYc+eHAYOjECSJB577Bns7OxsqSIj\nR478y+cvCIIg/LOIwPsSGeeuXPEGiD++g8TTcUTUb/oXz0j42ygKXGfTkiuUlcGAAbB1K3TrVsvD\nKlRYzOi0NZe1+7OtXLmSevXq0by52n782WfHc7u5lJHLV6LkngFfD/bv/5WOHR2RJHj00V4EBDgi\ny4UoisJzE4ey60gcr34+k1JTmTrooYvjy7KMs4Mjzg6OuDg4qT+OjmhkDYmnT3Ii/ZK/RW3t3gfF\noqCTdbg4OeHr6Ym3hxFXJ3VsWZapqKzEXFGBuVL9qajmttWq4Gv0JNg3gOSEsxTllzK8990oio4P\nPljMqqSDtG7VDzDQuvWdxMXF2dqoP/nkOLRarS1VpGXLljf9PgiCIAj/Lf/KwHv//v2UlJTQvn17\nFKWY3FwTGo0Gj8vKkF2v6la8L1j++2e8MGQGGs2/8iUTanL6NPj4gP35YPenn+Ctt2DGDGjX7sbH\ndXKC6dNrFcTnFGSwbs8K9iT+gbnChLebP8F+EQT5hBHkG06AZ3Cd/tvLysqisrLSlhry7rvv4ubm\nxqhRDwNlbN26FicnPc2aOSNJJtq2CcT05qcASI/25tWm4RgM9rbTuvvuzhSVlrBx3w52Ho7jbG5W\njce3Wq0UFBdRUHz9aSO68krkCh0BfvWJigijcUQIHi5u6HXX92GltNREVtY5tYY3sHz5Blat2s7c\nuSMBA8lxG1m2bDHDh09EkrR06zYAe/uttlSRQYMGVcnDdnevvl27IAiCIFzwr4giFUXh3LlzGI1G\nFEUhMfEgn3/+OWvWzGbbtp088MArvPvu+wwdOvSmjlNdjrftsXOpbI7/jS7N+97UMYR/mNOnoUMH\naNQIvv8eHB1hxw7YtUvNX76ZwPuCy4PuSwLxjHOprN29nL2Jf2BVrLZdsvLPkpV/ll1HNgJgp9ER\n6N2QIF81EA/2Dcfd2avWrcQPHDhARkYGfc5fAPnZZ5+Sl5fNO+9MRFFMSJpc1v++nsg2ErIk0ayN\nD9YKK8VlZ3FycOSpyGDILYD6vtCjDf7nK2pYLBYOnUpi5+E4Dp1Kxmq11jCLG6e3sycqOIzb1hwk\nrEEEdhOu/4Ln9PQctm2L4777uqMosGXLQSZPXsCGDcsAPfXrt2Hnzq+QJLWqSOfOfXF3D7KlijRt\n2pSmTcW3XoIgCMKN+1cE3nv27GHYsIdISNiIJBVw990NSU6OBEz4+3vy1Vdv0qXLPTd1jJKyQgpL\n82z3NRotLcI6sPvoJtu233Z8S8uITjg73GSzEOGfITNTbS6SmgqBl9SyePJJeP99NRA/fhzOd0is\nE9Omwccfc+a7z1idtYu4pO0oKNd8WoXFzIn0I1Wq7rg4uOPt7o+rkxHZosNqkomJaYarowcb1/zB\nwQOHmD79PezsysnKOs66dT/RtqMPmXmpaF0zORa/n1nL/o+Mc9nkmYtwiZRZsvGXKsfd+dk+ZEnC\n2WTBdXwnXPx8cd20ChdHJ0rLTexNTKC4rLTGuVvMVjJO5YFGwcFZj4OzPfYGuxqfA1DPy5eoBuFE\nhYQT6O2rfsjo3b/Gbw8URbF9GElNzeDdd79k1qwJgI78fJkJE+Zwzz2jAAPNmgUiy0tsqSLNm7uz\nefNm2/M9PT3pVssUIUEQBEGojToLvKdMmcKKFSs4duwY9vb2tGnThilTptCkSZMq+73++uvMmzeP\nvLw8YmNjmT17NpGRkVcd12rNoUULV5ydtWRkHCAgwBsHBz2vvDIKgAYN6tGgQT2s1tMoSjhWq3JD\n9W3TL8vv9nGvR78OIzh4YhcmsxpYlJlL+WX71wzqPua6xxf+YfLzoWdPOHYMmjWDX35RV7sB/Pxg\nyBD44gv44AOYNeuKp1dUmjmdmYzJXIqHiw9GF290dtdOdUg5cYDVXY0kbJ153VO+NKjMTS8kPvkE\nMR3VD4snEtJJ2JbC3Y+2ASAtKYcdvx7BITIHvdaOArsSShyzeOOLt23jBbX1tOVS2ztcPRC2KgoF\n9jIF9d2BckjYd825Wq0KKUcyObLrNCcTMrFarDg5ORATE0pMTBidnfV0+O438kfdTfnQ2yksKaGo\ntJjSchPebkaahITh4VLNB9xLgm6LxcLhwyeJjg4FIDs7n9jY4SQlrUaSHHB1dWP+/J95//356HQO\nhIU15p6+/WHw48gvvoh38+Zs2LDBNp5Wq8X1ZjtwCoIgCEIN6izw/v3333nyySdp1aoVVquV1157\njdtvv53Dhw/bch/feecdpk+fzsKFCwkPD+fNN9/kjjvuIDExEScnp2rHleUUAHbu/KLGr9Wt1gLe\neut54uJO8P3331/3/C/P7/bzCMTF0Y1esQ/ww+aLZb+2J6yjXVRP6vuEXvcxhH+IkhK15nRcHISH\nw+rVV3aUHDdODbznz4c33oDz/4atipW9iX/w89avySvOqfIUFwd3PFy9MTp64unhfz4g98Ho6s25\nwmzW7F5KYngR4FfttHzc69Gj9QCaBN/G0RMH2bh5Ha4BWk5lHCPpyAm2/XSYe8ao3QktlVYStqUQ\n07EBAEY/F/SXBM9+Ie70+V9ristKKAbQQUjMn18S0yezCP+dp5meYyEiLITh9/Uj5o1QoqNDCQ72\nR5ZldccBEyD1HD5mGRo2qtXYiqIwa9Z3PPnk/ciyBosFYmNHkJm5D8ct8XgYfSkqKicz0x1/f39c\nXGD58uVIkh2SJKHVannf3V39MHXsGOzbd/MX0AqCIAjCdaizwHvVqlVV7n/11Ve4urqybds2+vTp\ng6IozJw5k5deeol77lHTQhYuXIi3tzeLFi3i0WuUW7tWLmtRUSnHjx9l1qxpNzT/y/O7fY1qHeFO\nTe9kW8IasvLOAKCgsOz3eYwbOLXW+bXCP4wsq4F0YCCsXQve3lfuExOjpqEkJkJSErRuTVJaAj9s\nXkBq1vFqhy0szaOwNI9TJNZqGpZKCxqthgDPYFo2uJ0fF63mtoc6A+Bs58qsyZ9y8uRuFMVE0skj\nxH4+kC7NYjmddRasEs27XkyBcTU60uPBi1U0NFoNBqfaf/Oj09rh4+GJj7uRsrJyMrJzKCgpwmyt\nQL5GVRGL2YpcpiXcvR6PzZ6PXWEJD2+bD21jqn/CyTPw/Saw08KY+6s8pChq2s2Fv62HH36Dd98d\ni6enJ4riwMyZS+jRYwAREU2wszPQt+/dZO7LInTIY1BayompU3H2u/jBptel7dJPnIApU9Tbs2aJ\noFsQBEH4y/1pOd6FhYVYrVbbavfJkyfJzMykR48etn30ej2dOnVi27Zt1wy8r8Xd3YWvvnoTRalE\nUSqRpOs7tfRzl614G9W8T63Gjns7/Y9PfnzT9tip9ET2JP5Oq0ZdbmrOwt/EYIAVKyAjA+rXv/p+\nX34Jnp5kFmXy40+TSTix64YPaam0knzgDBG3qf+uTCVmvn5rHTvi19MkpAkmUwF9uw1g2rTR2NlV\nEhJipmXLMBTlNBqNhoiGXqSl/oqzs5oOY7FYyMrPJb+4iPziIgqKCykoLiK/RK0UUlBSRHFpyRXZ\n43qdPb4envh6eOHh5EpZoZn0lHMcTTjFL/G7iI9PJi+vsMpzNHYyTq4GGkcFE944kHrB3nj6uOJu\ndCEqNJSY0EYXuzamF8OUBTDz26sH3h8tAasVhvbieKkJr8JiXFzUb7y6dBnNtGkTaNGiFaDnxIlc\n9u0z0aNHDJIEL7zwMnZ2nsiy+josXrwYTCYYPBg+/hjn8ePVC2M//RScnased+xYKC+Hhx6Cjh1v\n+L0UBEEQhBv1pwXeY8eOpXnz5rRt2xaAjIwMAHx8qn7d7e3tzdmzZ+vsuJJUztmz+3njjc+YNm3a\nVVNYLnfFirfHxYAsMrgFUQ1aVwm8ftyykOgGseh1hrqZuPDX0ulqDrqBIhcDq7fMZ8vB1VitV7Yj\n18hagnzDyC/OJa8oh6K8Ehxd9UiShGJV+HHudvo+2gaNRkaWJTYsjiMkypfG/sH0mrOUXyzg62xC\nozmJoyN8++3bQDGSZIdWq2HFivdsx5IkyRZ0A2g0GvyM3vgZq1mtP89SUEjBHY9TkJ1FpVbGK7uE\nTV1j+VqTQ3z8zyQnp9pWmC9lNLrStGk4MTGh53+H0bhxMAaD/tqv6xMD4N0vYfkGyMgBX88qD/+y\ndB1hc1cQDihjh/D00zMYOXIQ99zTHzBQv35j4uNLuO02NYVm+vRZ1KtXz7YC/thjj115TL0e5sxR\ng+lHH4XvvlPTSJYtg+hodZ+ffoKffwYXF3j33WufhyAIgiD8Cf6UwHv8+PFs27aNLVu21Codo6Z9\nDh8+fN3Hf+SRd2nSpDkJCQlotdc+RVNFCcVlBbb7GlnLqeQ0TksXPxCEud3GYWkvVkUNwApL8vhy\n5Ye0CBZVD/bs2fN3T6FOWayVHDm7i4NpW6mwlFe7T5CxMSd25tE8pheOIY4oipWePXuytKEnBm0F\nJwb35Lt8M9pyHfauGqyKhU69ouneuDVNQhsgz2rA6gBPcnIzyMlVP5SGh3uTnJx0U3MvLi4jKSmN\nxMTTBP62g0f2JJIpScxSFIYAj/zwOxcy07VaDQ0a+BMeHkh4eCAREYFERNTH09P1sr9JKydP1r5r\npNuEwZRHN6DsXBaLP/4OPz8jnTu3RFEMfPPlGpr6ejPG3YNjUjgRES04fDiboKA0AB59dDR6vb7K\nv6nU1FRSU69e6tMmLAz7BQto+NJL6I8fJ3HPHkrK1ffP48AB6js5cXbUKLLS0iAtrdbn81f7r/09\n/VeJ9+nfQbxP/w7/pfcpLCysxsfrPPAeN24cS5YsYePGjQQHB9u2+/r6ApCZmUm9evVs2zMzM22P\n1ZXZs8ej0xkoL5exXLlQeYX80uwq910MRmRJrrLN2eBBZEAsCWnbbNsOn91JqE8zXAw317hHuEgu\nLcV5924K27RBsa+D7o2KgteyZeT26YPVwaHGXS3WSlJyjrD/9CZKygvISs3HzcsRnV5No/jxk+30\nG9qNOzsMwN/Dh0GTR9KxfSTR0cFIkonWId647jlGUx933Lq05WP/egQF+eLoeH6luOvFY1UEeiNX\nM4faslispKVlkZiYyrFjqSQmnubYsVTS0qr+W94F/KEo5BpdSQivR99G9QkPr09ERCAhIf7odFf/\nL8Bp036QZYrbR4Om+tkWFJRgMpXj46P+Dcyb9zMg80jTliiKnsJCHSdOnKFVq0EoCnS8cwDm280k\ntm6NYpUYMqRqPW6D4ea+QSoPDuboggU4xcVRcmG1GzjXuzeFsbFUurjc1PiCIAiCcDPqNPAeO3Ys\nS5cuZePGjYSHh1d5LCQkBF9fX9asWWNrpWwymdiyZQvvv//+VcesqdTgtVitLmzZkk54eHiNwf0f\ncVW77DWs14jbbrvtiv2iY5rw1pdHKSg5p46vWEjK28Xojq/c8Bz/zS58Qq3utbohFot6QePGjWpT\nm5UrbdVEbojVqub1fvQRQQcOwKpVV5Sjs1gspOWcYPeRjXz80acERLhj9FODs60rD9Hy9jDqR3hj\ndPEg2C+QTo1a0rNzMJIEEycOo0WLeoSHBwCw6rVHYew0GNaHyJhoImOiq53W9crLK+TgwWTiGMCe\nPQAAIABJREFU45OIi0siPj6JhITjlJaarthXp7OjSZMGxMSE2Ur3DbNXMBpdru9vSVFg4Otw+AT8\n8D706wLA0aOnSEvL5PbbY1EU+Oij5Rw8eIJPPpkGGLjtNis//vgLjRv3RZIkxo1rREFBAdHng+A6\n+7dyLR06/DXHqUN1/vck/CnE+/TvIN6nf4f/4vtUUFBQ4+N1FniPGTOGr7/+mh9++AFXV1dbTrez\nszOOjo5IksQzzzzD5MmTadSoEWFhYbz11ls4OztfsepVV778chEvvTSH5cu/rzHwzrislKCvMbDa\n/ex1Bvp1GM6Xq2fYth06uYfDp/YSGdyy2ucI16GiAs63MGfLFjV4WrWqanOb2rJa4fHH1YvsdDp4\n6inWrV9PYGAgERERZOed5Z777iWgsTM+4WrudEZaDloDtsC7foQ3dho7+ne8nY67z/DYibO4hQXY\nYvehQ3tXPWa/LtC3E5jMN3T6lZWVHDt2mvj4JOLjk8//TiI1NbPa/QMCvGnaNKxKkB0eHoSdXdU/\n6xtJ12JbHBw+wV4PV9YdOsGEu7uiKDqOHs3l44+X0q3bEMBA69aVxMXNQ5bVDx/33fcAAwcOtqWq\n1L9GHr0gCIIg3ErqLPD++OOPkSSJ7t27V9n++uuv89prrwEwYcIEysrKGDNmDHl5ebRp04Y1a9bg\n6OhY3ZA3rWfPNvTq1R5v75rbPF/ePMfPePVgoWVEJ7bEr6rSQXDF758THhiDVnPtbnxCDfR6+Ppr\ntYb2sGFw+DC0bavW2b6sEVN1UlNTkWWZAF9fGDWKKV98QZCdHYN//B6lR2eWjXkSOycrDVp5cDL9\nJCbNOc6eKcYnXK3J3rRTA3T26p+ELMuMf24ovVp3xNHgAPOm4JOSDrOXwqcTrz4JWQaHa1+EmJOT\nf34F+5gtyD506ATl5VcG7QaDPVFRDc8H2GqQHR0ditHoVs3I16GyksrFa0jv2JzA+moJvj17jvDa\na5/wi6cRCdD0683Cr9fz/IszkCQ72rTx5NChbGRZPXZsbCyxsbG2IfX6WlyAKQiCIAi3qDoLvK1W\na632mzRpEpMmTaqrw9bIz0+tqGC1nsZiCSU3Nw/vy2o2K4py5Yq3x9VXWCVJ4r4uj/D+t8/aWn1n\n5Z9l7e7l9G4zqI7P4BbVsiVs3gz9+kFyMpzPzbZarZhMJhzO3//xxx+xWq30798fgLlz56DRKLzm\n6UrZ0kXkGx050r4Z3p7HSfn1DzLlJCrzK5HS1W8/2t7ZGEm+mHriU98dR4MDLcOb0KlpK7zdjRfn\n9Mxg+GQ5fPkLvPU4eNcur99sriAxMcW2en0hVSQ9Xb3EsTHwP+AIUA4EB/sTHd3QVk2kadMwGjas\nd+1urIoCb3wK998BkQ2uultJSRm//rqVgQO6owx4gZQff6ebuwsnc+IAAyEhnmz+4zGslZVogCYT\nJvFOUhKyrAPUazUmTqzhg8flTp2Cdetg0CCoZYUhQRAEQfiv+tPKCf6TZGWdZsiQUYSFRTF37twq\njxWVFlBiKrLdt9PqMLrW3OEv0LsBbaPuYFvCGtu21buWEFG/GQ38a9eFT7gGDw8OvPceWYcP0yMk\nBEVRmDFjBqdPn2LGjMlAOYnJu9m5azeuQTmcK8zmnHKUE0fP8GLnYMrf7k1ZcTk6RWHl1vUABIZX\nLW13IejWaDREh4TTqnEMkUENqw9yI4Khb0f4aTN8vAwmVa07rygKmZm5xMcnn1/FVtNFjhw5SUVF\n5RXDOToaiIkJ41VTOb33JzK0TwcM37yFq+sNBqfzvoc35sGcZXByJTiqFymazRW8+eYXvPrqcBRF\nBpwZPvx17rprCPYPjKDBj7/jkVdI2coDOPbvj9EIJ155Bc1LL0H37tg1akTfRjf4b7qkBKKi1N/P\nPAMPPADz5qnfCgiCIAjCLeiWCLwdHPTcfXdbxoyZgKIottV5jUZDxmWNc3w86l1R0aQ6d7V7kIPH\nd1J0vgyhVbHy5erpvDBkBgb7Pyd15r8mLS2N0ykptGuvtkFfvnw5GzZs4KOPZqIo5Rw6Hs8Pv/3M\n7SO6AmZCQ7Xs2XOMnIId/LR1PYcK9oJPGT9s/gUArTeEe/tTXqGmaxicaq6K0sA/kFaNYmge1hgH\nfS2qaTz7IPy0GWX2Eg7c0Ya4YylV8rGzs/OqfVrDhvVsq9cX0kVCQs63T088BY0G4Pv7PtDWvtPk\npQrX78JxzDtoAGXaM8R2Hc3atXNxdvZGqzWwYUMcw4c7ExnZFAcHiaeeepriYj2GwSMg8RT733gD\nhg+H7dshMhKvp54CX98by62/lKOj2tjms8/U4LugQATdgiAIwi3tlgi8XVyceOaZwShKKopSyGef\n/cbevQf59NNPSb8szcTPo3YXgzkZXBhyx1PMXfmWbdu5wiyWbPiEYb3Gi3byqN1LU1JSbBUttm/f\nzuLFi5kxYwZQSdy6X/jgmQms2rAMmoXh4VFGXNx24CCSpNCmjQ+lpTHIslpFpnuPFljcSpny9cdY\nrFZcjY64Gq/vQ46nqzutGkVzW6NovNxqThdRFIUzZ7IupojEHWOiXkdFdj4D24/kOOAC/A4sAj51\ncSTmfOOZCwF2VFRDnJxqKGMYEax2eNweD99vhAfvvOY5bNlygOjoUFxdnVAycrmt51P8YLHQ+MmH\nUYaOQTPnF+LiLHTsGIYkSbz44svY2Tkjnf9A+c4771wc7LXX4MgRWLIE7rpL7fro6QkjRlxzHrXy\n9NNq4A1q7r4gCIIg3MJuicD7AjUWzueLL+Yxc+abWK1lpOeeprysAnuDemGkbw0XVl6uSchtdG52\nF78f+Nm2be+xzTQObkHrxl1reOZ/g9lsJisry1YG6NixY3z66ae8957acfHgwf2MGzeeHTtWAxXo\n9XmsW/cr8DBYzETN+ZCYgkLkt6fA8vdo164hP/74HpKk5s43bFiPhg3rUWmxsDl+D6t3/kFp+ZUl\n9Kpjp9VidHHDw8UNo4sbRlc3QvwCCfYNqPZDUWmpiUOHjlfJw66uffpaIE+SCI8I4v6YMEaUltHs\n5y00ahfDO1s+v7EPXMP7qIH3wp+rDby/+OIn2rWLISwsCNDy+uvzGTfuMXr36IX0wDO0sVg4HhlJ\n5LRPkGQdixcvxcfHxzaXTp06Xf3YsgwLFsCJE+DhAbVoOHVdoqNh6lR1xbtdu7odWxAEQRD+ZW6p\nwBvUiyP/+GMednZaFOUop88eYdE7G7lnTDvcvJzwq+HCyurc3X4YSWkJnM05Zdu2dONcQvwa4eXm\nV8ez/2tVVFSQkpJCaKha9SM9PZ2pU6cyc+ZMADIyzjJu3HjuvrsLUI6d3Tm+++4b3n33f0hSOWFh\nFfj7OyPLKQBERrrz1VeTkKRKeGcBQbsP8b6vET55GQB7ex329jrb8RVFIf74UVZu2UB2wblq5+hf\nUEFwThke99+J0csLo6s7Hs6uODs4VhsEK4rCyZNnrijZl5RUfft0Dw/XKiX7mjYNJzIyRG2frijQ\nfCgA+qcHVakRfl0e6IH16feRN+6F7Dymfv4jTZuG06tXJxTFkd9/P0pZmQuhoXciSfbcc88QZNkT\n2c4LRoxkYeoZpPXr1bKJ3EAJPwcHtWyjq2vdB94AL7xQ92MKgiAIwr/QLRd4A5fUObZwYP8hAkKN\nuHmpF7W5OXiRmZmJj0/NF1jaxtLqGN7rWd7/9lkqLGpucXmFiS9Xz+CZAZPRaP65L3FlZSUHDhyw\nrVgXFBTwzDPPMH/+fABycrJo27YtmZnJgBl7+zzmz/+c6dMfR5YrCAkpxtFRRpKSkSSJ+vVl5s17\nCVkuBcDb250ffphmO569vY7mzRvBjoMw6VN148I3wOvKJjkpGWf5YfNajp89fcVjAO4FJu5aeYiW\n+9KQfYzw1FMQVjXgLCoqsTWeuRhkJ1NUVHLFeFqthkaNgomJCSM6OtQWbPv7e119FXvPYYg7BkZX\n6N+lppe6itzcfMrLK/D39wJg4ntf4T6oF+Nffw6MoZhM6/j999P06hWDJMHIkWPQaDTIslqqb8yY\nMRcHe/hhpKFDbUH3DTMar72PIAiCIAg35Z8bFf4FCkuL8Qxy4Y76LQDQae34+ovPiY9PZtGibwF1\nldfNza3GVtZ+xkDu6TSSJRs/sW1LyTjGbzsXc1e7oX/uSVxGURRboGi1WlmyZAmDBqllDs1mM716\n9WLdunVIkoTZXEr79u0pKTmLLFdiMJj45ptv+PjjZ7G3V/DxMRMQ4EFFxWHs7XV4eMAXX7wGFCIt\nWY8xO4tly/7PdjyNRkPv3u1rnmCZCYa+onapHD8UerSxPWQyl5N5LpdNB3ayNzGh2qfb63TccVt7\nujj5ofvmeQgJwPrLTE5IEnHL11dZxT5x4ky1Y/j4GC/Jw1ZXsRs1Cq6y2l4rn36v/h7RF2p47tGj\np8jOzqNjx+YoCsyf/yunT+fwwQdTAAMNG7bh97QtSMEdkSSJUaOepKKiwva6dmzXDtavh7171VKL\nl7vZoFsQBEEQhL/ELR14Z+RmA9gCHF8PTw7tiePVV0djtZ4F9Iwe/QgPPTSMAQMGIkkSK1asoHnz\n5oSEhFQZq310T46k7OPgiV22bWt3LyOiflPC6kXd8BwvpD9cmOP69evp3Lkz2vMpAc899xxTpkxB\nq9WiKApGo5EzZ1LR67UoipmRI0fSu3drnJ31aLVm9u3bw7lzOzAaDRgMVrp2bUlJSQKurk7odLB8\n+TvIcjGSZIckwYEDi6rM5777ukN2Hjw+lfp5hZz64mW4tBX5lgOweA288j/wuXIV1WynIee1YWSv\n/oOsgS3JXvsT2fnnyM4/R2Fp8VVfB0mSaBfVgvaNW3Iy+Szzdu0lvlMLEuKTONDyoau2T4+MDLFd\n6Ni0qbqa7VPNvK6bokCimkLDqP5VHtq79wi7dh3isccGADri4s6yaNEvtG9/H+BA27b3cOrUt8iy\n2qXzwQeHM3z4SNt7XK9ePXWgI0dg4UK1qdCZMzBgACxdevNzFwRBEAThb3HrBN5HTqoNUJ59EOqr\nDVTSzwfeF/gavXhuwajz99IBqKzMIyZGh6IcRVH0vPXWJGbPnkFQkB+SZM/o0aOZOHEiQUFBDL79\nSRbc055G7fxxcjWgoPD0C4/wyTvfElQvGFA7fD744IM4OzsD8MILL/Diiy/i7q6mWwwaNIgPP/wQ\nT0+15rS/vz9xcfvx9HQHLAwZMpj9+//A19cIVPLNN18xduwAAgI8gQqcnfVkZGw8X64ORo26m4qK\nk7ZOg2vXfoSzs4QkqSUVV636sMpr0LdvDRfiXfDih5BXSHHbJpTeFlH1sZdnw+b9sOAneGYw1uce\nIi47lZ2H4kjPzSKv+PzFirGesPP3ax8L0JbbcWpfNhOmzeH06Yxq9wkI8K5STaRp0+rbp9cVU7kZ\n/R/z4MhJ9paU8eGI11mw4G0UxYGKCnc+/fQXRo+ehCTZ066dG8nJhciy+h536NCBDh062MbSXb5i\nfewYPPSQWmHkggYN4HxKkCAIgiAI/063TuD92iewbL3aAGXTXKjve0Xg7Wf0uuJpv/466/ytUqCU\nfv3aER1tjyQdQlFkvv9+GS+8MASr1YKDvcTpQ9mEt7p4UeW21fEs6jqDCQ+/jCTJvPPOZO64owWO\njvUBK0uWfMsjj9yFq2sgYGXXrm3k58djNAYAlTg768jN3YqXVzAAffq0wWo9gSyrecrvvPMETk5l\nyLJaTzwxcZl64d95s2Y9X+V8WrW6duv1Gm2Lg/krwU5LxsRhV15QOPsFmDgb68+bifv5N1ZZU0j3\nubGmMDlnCtjy4yFSj118n/T6C+3TQ6u0UL/p9uk1MJsrOHgwmZYtGwNw5Mgp+vd/liNH1kFEW/wy\nili58mkUJQpJkmjWrB4vvPCyLSc7MDDw+ro9BgTA4cPg7Az336/W2O7Q4cYv3hQEQRAE4R/h1gi8\nKyphzQ719skz0GU0bJpL+rnLVrw9rgy8LzepSsdCC7/8MoN69eyRZbV5yswZ47C4mtl6eC8A0R1C\nOJWTzM4jP9EuqjlPPHEPLi6FyPJZAKZMeQxPTwuynAvA11+/jr+/vS2wTkhYjE5nZzvi/PmTqsxn\n2LC7qty/NOiuc5WV8PhU9faEYZhDrqzaYo1qSPy0R1l1VxBny4queLwmFouVwtxS8rOKSY47S1l2\nJc2iGzFsYN/zLdRDCQ0NvHb79JtkNlewYMFKRo++D0WB0tIKOncezblzh9BqXWjYMJy8vFJKS31x\ncnLC3x+2bt2KJElIkoRer7fl1d8QR0dYuxZiYtSKI4IgCIIg/CfcGoF3eo5a8aKwBNycIDUTpaTM\nluN9QXUr3jWRJInWravmbw8YcDuVFgunc86SmpVOi65qKb4Vv6+moX8gEyYMr7L/oEE9q9xv165p\nlfuXBt1/tryiAvYmHiI1Kx2DvZ4g3wCCfQPw8fBEliQ4nQHFpRDkBy+PhFMnbM+1KgoHjx/lt51/\ncDYn66rHUKwKhXmlFGSXkJ9dQn52MaaiCnyNnkQ0CKJNTEtieqm52G5uzn/FaaMoCk88MZXp08ej\n1zug0Tjx0ktz6Nv3QXx9g3F1NdCrV29yc+3x8/NAp4OMjAy18+R5jRs3rttJtWlz7X0EQRAEQfhX\nuTUC7/q+sOcrMJWDyQzZeeT7umEyl9t2sbfT4e7sWieH02o0DO91D+9+Ow9zRQUA5soKFq76nmfu\nH0FlZSVl5nJM5SbKzOWUlZdjMpvU3+XlmMzlGOz1eLt74OXmgaebBzrtnxOAl5WbOJB8lD1HD5Kc\ndopLK1lvS9gHgF5nT5CPP8F+AQT/Opkgk4yTg7qyXl5u5od169l+dD9llrJqj6FYFRL3pXFg03Hc\nHFyIahJKs5goYu4Io2nT8Ivt0/9EFosFwLZa3q/feGbMeJ7g4FDAgR07EjlwwEybNm2QZYlXXnmN\nykonZFldcV62bFmV8f7s+QqCIAiC8N9zawTeF+jt1R83ZzJSjld5yNfDs07bvHu7GxnQuReL1v1k\n25aWncFzs6fe0HjuTi54uRvxdlODcW93I15uHhhd3GpOvdiwGxoFg//F1fxKi4UjKcnsPnqQhBPH\nqDwflF6NyVxOYupJElNP2rZZVilkpJxD56TFK6D6DyyKoqAUaQj3DGHIE/2JmtMQZ+fra/F+o9LS\nMnFycsDNzRlFgR49nuTll5+ga9cugAOS5MLu3cWEhEQgSRLvvz+ToKBwW1v18ePH/yXzFARBEATh\n1nFrBd6XqK6iSV2LjWzK4ZRkDiQduemx8ooLySsu5NglwS+ALEk4Ozrh6uiMy/nfrhfubzuE69sL\nca3nj+Pqj0kpOsfuowfZf+wQJabqV6drS6OXCIi4elm+FuGR9IrtVKu8+bqwe/chXF2dCA8PQlHg\n+ec/4o47ujJixEOAgaioNhw+XET37sEAzJo1G3d3d9uHre7du/8l8xQEQRAE4dZ1ywbeV+R3H8uA\nyCwI8K6zY0iSxKBufUhJP3OxjF4dsyoKBcVFFBRf5ULG8Wp5QGn+9Gpbol+uILOEgztOYafT4Bvs\njk99d/SOtWvQIgHNwyPp2brTdefLX6+1a3cgyzLdurUGtCxfvg293onXXusGONCt2z2UlpYjy2rp\nyGnTpttqn8MNtFUXBEEQBEG4Sbds4H1FRZOPfoAPVsHGT+o0+HbQGxjV934+/2UZ5wrzAbX7okGn\nx2Bvj15nj0GnR29vj0Fnj/78tqLSErLyz5Gdl8u5wnyuHTLXrKaguyCnhMS9aSTuTSM/qxiNRkOj\nRkE4erjSKcUeQ/cWONVzId9USErmGc5mZ2K9bLzmYZH0iu2In7HuXrtL/fbbVk6eTOfxx+9HURxI\nSipg164EunYdgSTp6d17MElJSbZ65Y888kiV518adAuCIAiCIPwd/tvRSEUlTJoLd8RCl5a2OsiK\nopBxWeDt5+EJ2w5D18fUOt/+dbdiG+jtx6QRT1JeYUantbvuC/MqKivJLcwjK+/c+S6PubbbBSXX\nV7LvAm2JmdgDZ4jak8o8D1/ad27J4w8MIiYmlMjIBmr79JR0aDwA1uyCfV+DuwsA5ooKUrPS2RW3\nD1mW6XhbG/w9bz7gNpsrbFVc1q7dwfLlG5kz503AAUXxZunSZTz++NtIkkTv3oPx9t6LLBsA6Ny5\nM507d77pOQiCIAiCIPxZ/tuB9/Z4mLIAVmyAo8ttm/OKCik3m2339Tp73H78AO4YAweOQdfRsLFu\ng29JktDr7G/ouXZaLb4eXlfkSxcUFHMgLpF98UdITD7F6bMZ5Jw7Rw+DlmRXPeUuehxd1R97gx3W\nSiuVReDv7Etss0g67V2J4WQ8MzPL4L2x0PWyzojPTIOycohtYgu6AXR2djQMqE95gdri/UaC7srK\nStLSsggOVtumb9sWz/PPf8DmzcsBBwICWrNmzTQkqTGSJNGxoxFn5wDbxY8hISGEhIRc93EFQRAE\nQRD+Lv/twPu3berv3u2qbL58tdvXwxPJ0x3WzYHuT0DcMRjzDnz//p83t7xC2BYPrSLB26PGXS0W\nC8nJqcTHJxMXd4z4+CTi45NJSUmvdv8z/l5qR8eAUGKi1O6ODRr6Y9Drq66292wHo96CL35Su3pe\nGnj/sgV+2ARODjBt3E2frtlcwZYtB+jWrRWKAqmpObRrN5K0tD1IkiNRUYEkJj6PxVIfOzs7GjXy\nYdOmTbaLH52dnenYseNNz0MQBEEQBOHvcmsE3ne2r7L5qhVNjG5q8D3wBXjnqbqZw94j0KLRle2+\nN++Hfs+qt4P8oHUTaN2E/GbhHNBqLgmyk0lIOI7JVH7F0Pb2Opo0aUDTpmG29unR0aF4ebnXbm4a\nDXz+qpqG82Dvi9vLTPDUe+rtN0ffUM671Wrls89+4JFH7gEkLBYtffuOJzMzAQcHI0FBMQQHh1JY\n6IK7uzsuLmpTmgu52LIsiwsgBUEQBEH4T/nvBt5ns9WVawc9dGpR5aErO1ZeElh6usGGT64MlK9X\nZSW8+glM/QLmvgyP3lv1YVmm/LZIdAeTsUtJV/Opl65jBfC/aoab5ObMM6UmtFoNGp0dWjstWr0O\n6ev/g8Y3kXIhyzC8att5VmyEk2cgOhSeeqDWQ02ZsoAnnhiIi4sL4MDbby+kU6e7CQ+PQa/XM2LE\nw+TmanByUut+b9++vcrzxQWQgiAIgiD8l/13I51V51e7u7UC+6rl8C6vaOJ3ea3pmw26s/Ng8ERY\nvws0Goqy89ixdgfx8cnn00SSOHz4JGZzBTLQGGgFtAb+0NnRulk4TZuGExMTalvFdv94GUycA+YK\nKDVdPNb9L6pdOe1rV/KvVob2BjdnMLpCDcHw7Nkr6NOnLY0bx6AojqxatZfmzbvTs2d7JEnDhAkv\nAa62CyBnz55dd3MUBEEQBEH4l/nvBt492sBHEyDEv8pma3UVTWpTc1pR4PEp0KcD9O1U7S7l5WZS\nlq4jYOz7OJ4rJE+nZaSjAz+88nG1+/9/e3ceH9PV/wH8cyfJZCbbhDBZiEQiCQlSS6RCkJRYautD\nEbvWUlujfq1uPISWorUvDQ8aVX2sL62lCEIagqAVscXW0pIQshgSYub+/siTaUYiIpnMTJLP+/Wa\nl8y55577vb6JfnN65lwPjzraJSIFRfZojzrFP4kyIhwY2RvQaAAR//tTBKzl+i26C7zZtkjTl1+u\nQevW/ujQoQ0Aa9y69RjHj2ega9emEATg44+noV49dwhC/rfV+PHj9R8XERERUSVVdQvvuo7A+H5F\nmjMeZuFpXp72vdxSBjtrm5ePtzMOiNoORG2H+PEw3Bn3NpIuXEdS0hWcPZs/i33p4g0cV2tgDeAY\ngLefPsPtp9mwtbVG06YN0KRJA/j7e8Hf3xuNG7/i49Ot5fkvA1q48AcoFHYYPnwAAGs8eWKDmJhr\nCAkZnf9woAHDIJVKtR+A7Natm0HjIyIiIqpMqm7h/QJF1nfXrK0tHIuTk5OLCxduICk9E7Xa+qNb\n/FmYzY3G5bnRGA4grVBfQRDwubszxllY4Fx4Z6xo7gN/f2+4uTmXeA1jEkVRG9uaNT/hxo07mDlz\nCgBrKBQNcOBAHEaM8IEgCBg1aiLy8vK0/b29vY0YOREREVHlUu0K7xftaCKKIm7dStOuwS7Ysu/y\n5T+h0Wi0/dsB2AQgBECy1AJRfUPhGBKApk0bwM/PE9b/m5XuaaD7eVVqtVq7lGX37nj8+ON+rF+/\nCIAN6tcPxOrVMzFrVgMIgoA+fQahS5fe2kLb1dXViJETERERVW7VrvB+fn330dizWBG5A0lJV5D1\nvwfCFGZmZgZfXw/tGuymTb2gdqwJ8f8Wolb2I3z+n2mAXGao8F/Zs2fPtLuFnD59CRMmzMXRo9sB\n2MDX9w0cOjQXgGf+EyiDw/DLL0HaQluhUEChUBgveCIiIqIqxCiF94oVKzB//nykpqbCz88PixYt\nQtu2RT/MVyZ5zwAzCSCRQKPR4I8/bus8eMamoRkUyn/WVu/YHIe/rqQDAGrVstfZTcTf3wuNGtWH\nTFbMEycPrgTuZ5lc0a3RaLQPyUlNvY9WrYbhxo04CIItGjWqh0uXJiAnxxnW1taoX98Jly5d0va3\nsLBAjRql3AOciIiIiF6JwQvvTZs2YdKkSVi5ciXatm2L5cuXo2vXrrhw4UK5ljJkZ6tw7txVPP12\nG1psO4S1jjUxLT0LKtXjfzoJwHtz39Q5b/yo/mjWtCH8/b3g6OhQ+rXY5uaAo0OZ49UXURQB5K8v\nV6vVcHPrgXPndkOhcIZS2QCWlja4dk2Et7cTrKyAO3fuQCb755eF/D23iYiIiKiiGbzwXrBgAUaM\nGIF3381/TMySJUuwd+9erFy5ErNnz37p+Wq1Gteu/aVdg13w540bfwMANgOwA5Dyxx2oADg719Ju\n1+ftVw9Jmcnasaxkcnz8/nCT/eBjaQQGDsPatXPg69sMgmCDhg0b4+TJ++jcOf/x78nz2PNcAAAg\nAElEQVTJybC0/GfGvnDRTURERESGY9DC++nTpzhz5gymTJmi0x4WFoZjx44Ve86RI6e1xfXZsylI\nTr6GnJyij0+XyS3RpKE73ky+BuQ9w+ANsxAZ9rrO49PPXb+MpJ3/FN4v29HEFI0fPxc9e4agU6fO\nAGzx2mut8euvf6Nx4/yPc+7cuQty+T/bDhYuuomIiIjIeAxaeKenp0OtVsPR0VGnXalUIjU1tdhz\nOnQYU6TNyakmfHxc4e1dD97erpA7WeDekwcIN68Dq+Ff4Ul9Z9g3c8O9e3dw794d7Xlnb1zSGcdS\nYoYLFy7o4c4qztathyGTWaJ7947QaGwhkdjju++OwMEhAMADDB06HJaWljh16pTRYjTmtan0mKfK\ngXmqHJinyoF5qhyqUp68vLxKPG7yu5o0aeIBb29X+Pi4wsenHry8XKFQ5H84UhRFHL9yDmf/vAIA\n2KPKgqeZAFXbpsWOlaHK1nlf09r01jefPn0Zt27dRe/eoRBFW1haumD37iMIDX0HAPDWWwN0nmzJ\npSNERERElYNBC+9atWrBzMwMaWlpOu1paWlwdnYu9pykpM0vHC/2txPaohsAbtgI+O+AZhg0qDsc\nfH2L9N/5e7zO+9f8msLb1f0V7kD/HjzIwokTyejSpQ0AKTIybPDVV5/h00+/BSDA1TUYb77ZH40b\nNzZqnMUp+A21ZcuWRo6ESsI8VQ7MU+XAPFUOzFPlUBXzlJWVVeJxiYHiAABIpVK0aNEC+/fv12mP\niYlBUFDQK4/XpnFzuDvV0Wk7GeCKPdaPi/TVaDS4++C+Tpvz/x6eY2h//30XACCKwKNHGgwePB1P\nn7oB8EPr1r0wfXokRDF/pxI7OzuTLLqJiIiI6NUYfKnJ5MmTMWTIELRq1QpBQUH49ttvkZqaivfe\ne++Vx5JaWGBUj/5YuHkd0rMytO37Th9DDfuaCGrcTNuWnpWBPPUz7XtruRVsraxhaLm5T+Hn1x+X\nL/+K2rXro25dW4wdOx5ZWRoolRIIAtCvXz+Dx0VERFQRRFFEXl6ezlOgK5qbmxsAIDc312DXpFdX\n2fIkkUhgYWFRro05DF549+vXD/fv38cXX3yBO3fuoEmTJtizZ0+Z9/C2tbLGe73CsXDLd3iU889M\n9+ZDu2FvYwtf9wYAij6x0rmm4Wa7w8M/w7Rp49GwYQtIpQr06zcAFy48QEiIPwDgiy++MFgsRERE\nhiKKInJzcyGVSstdsLwKfv6pcqhMeRJFERqNBrm5uZDJZGX+XjboUpMCY8eOxY0bN5Cbm4vExMRy\nP7VSWcMBo3v0h4XZP79HaEQRa/dsxa27+bua3LmvW3g7VeAyk8uX/8Dly39AFAVoNDXg5uaLtWvj\nIJHUgURig1WrViEkJKTCrk9ERGQK8vLyIJVKYWZmVum27yUqTBAEmJmZQSqVIi8vr8zjGKXwrgj1\nnetiaJe3UPjH+mleHqJ++i8eZGci9b5hZrxFEdizJxGRkT9AFP0gCPUxZco0/Pvf/66Q6xEREZkq\njUYDiaTKlBpEkEgk5Vo2VTV+GnbGAbvj4e/ijn+176xzKPuxCit/+hE30+7otOtzxvv06Yv4178+\ngkZTE6LYAEOGfAgnJ3dIJJYQBAE1a9bko9mJiKha4kw3VSXl/X6uGoX39Cig+yQg/ne0f60VQpq9\nrnM47UE67mU90Gkr744mf/xxGwCg0cjg6xuM+Phk/PWXGSQSBWrVqoUFCxaUa3wiIiIiqloqf+F9\nJx347TJgJQPa5e9i0iu4I17zavTCU2zl1rCRW5X5kmq1GqGhYxEXdxuC0AhyuRsuXLiAevXqlXlM\nIiIiIqraKn/hvfdY/p8hLQGZJQBAIggYEtYbHs7F75RSlmUm6emZSEn5E6JoDkGoh5kz5yAp6U8I\nQv5fYa1atcoWPxEREVEZHT58GBKJBJs3v/iBg2Q6Kn/h/cv/Cu+uug/gsTA3x6ge/aCs4VDklLIs\nM9m16yjeeecriGIjSCROGDx4CCZMmFCmkImIiKjykkgkpXpFR0cbO1QyMQbfx1uvnj0DYk7kf921\n6JMvreVWGNsrHAs2rcPDnEfa9jq1nUox9DNs3x6Lvn07AXDAoEEf4sSJO1CpcmFnJ9XXHRAREVEl\ns2HDBp33UVFROH78ONatW6fTXpanclPVVrkLb7UGWPBB/hpvj7rFdnFQ1MCYXgOwaucmZD9Swdmh\nNlp4+5VicAEzZ66FTOaFHj2aw8JCwMqVK/UbPxEREVU6AwcO1Hm/f/9+nDx5skj78x49egRra8M/\nNZtMR+VeamIpBUb0BJZ8VGK3eo4u+HzIOHw8cBQ+Ch8FqYVFsf1EUYRK9RiiKINE0hCLF6+ElZWC\nWyERERHRKxk+fDjkcjn+/PNP9OzZEwqFAt27dwcAJCUlYcSIEfD09IRcLkft2rURHh6OW7duFRkn\nKysLH330ETw8PCCTyVC3bl0MGjQIt2/ffuG18/Ly8Pbbb8PGxgYHDx6ssHukV1e5Z7xfgdzS8qVL\nTA4cOIGPPlqGw4fjYG9vhzfeeMNA0REREVFVo9FoEBYWhsDAQHz99dcwN88vuw4cOICUlBQMHz4c\nLi4uuHr1Kr799lucPHkSycnJkMvlAPJnyNu3b4/z589jxIgRaNmyJdLT0/HLL7/g2rVrcHFxKXLN\nJ0+eoG/fvvj111+xb98+tGnTxqD3TCWrNoV3aYSGhiE09CpOnTqLjh07GjscIiIiqsTy8vLQo0cP\nfP311zrtY8eOxeTJk3XaevbsiTZt2mD79u0YNGgQAGD+/PlISkrCli1b0KdPH23fzz77rNjrPX78\nGL169cKZM2cQExODgIAAPd8RlVflXmqiB9nZKhw5cgYajQMkEk8sWLCQRTcREZERCIJQoS9jGDdu\nXJG2ghltAFCpVLh//z68vLxgb2+PM2fOaI9t3boVjRs31im6XyQ7OxtdunRBUlISYmNjWXSbqGpf\neF+79jf69v0ECQl/a/fkJiIiIioviUQCd3f3Iu0ZGRkYM2YMHBwcYGdnh9q1a0OpVCIzMxNZWVna\nfteuXUPjxo1Lda3JkycjISEBBw4cQNOmTfV1C6Rn1brSFEXA3/8NbNq0pdh1UkRERGQ4oihW6MvQ\npFIpJJKipVa/fv2wYcMGTJgwAdu3b0dMTAxiYmLg4OAAjUaj7fcqs/S9e/eGIAj48ssvdcYg01It\n13gnJ19FdPQefPXVN5BIHBAa6mjskIiIiKiKKa7Yz8jIwMGDBxEZGYlp06Zp23Nzc/HgwQOdvp6e\nnjh37lyprtW9e3d069YNgwcPhrW1NdasWVO+4KlCVMsZbzc3Vxw+fA4bNuzmVoFERERUbsXVE8W1\nmZmZAUCRWemFCxcWKdT79u2L8+fPY+vWraWKYcCAAYiKisK6desQERFR2tDJgKrVjHdOTi5kMltY\nW/tg374DsLW1NXZIREREVAUUN7tdXJudnR06dOiAefPm4enTp6hXrx7i4+MRFxcHBwcHnXM++ugj\nbNu2DeHh4di/fz+aN2+OzMxM7N27FzNnzkS7du2KjP/uu+9CpVLhgw8+gI2NDb788kv93iiVS7Up\nvHfsOIxPPlmGI0eOwNHRBjVrGjsiIiIiqgqK2zWlpJ1UNm7ciIiICERFRSEvLw/t27fHoUOH0LFj\nR51zrKysEBcXhxkzZmD79u2Ijo6Go6Mj2rdvD29vb51rFRYREYGHDx/i3//+N2xtbfHJJ5/o8W6p\nPATRGJ82eInCn+hVKK7qZcxnzzRYuzYR9va10K9fP72MWd2dOnUKANCyZUsjR0IlYZ4qB+apcmCe\nXk1ubi5kMpmxwyDSq5K+r3VrWEWR49VmxlsiccSoUWO5ppuIiIiIjKLKf7jyxo2/sWvXMQBOLLqJ\niIiIyGiqfOGdnp6Jjz5agvnzFxo7FCIiIiKqxqr8UpMWLVrg7NlkPH6cY+xQiIiIiKgaq7KFtyiK\nUKs1kEicIZVaQiq1NHZIRERERFSNVdmlJvv2JaBFi6GIi0sydihERERERFV3xjssrDVUqpq4f/++\nsUMhIiIiIqq6hTfggD59BnInEyIiIiIyCXpZapKRkYGJEyeiUaNGsLKyQr169TBu3Dg8ePCgSL8h\nQ4bA3t4e9vb2GDp0qM5G4/qQlnYf69f/Ao3GkUU3EREREZkMvRTet2/fxu3btzF//nwkJydjw4YN\niIuLQ3h4uE6/gQMH4vfff8e+ffuwd+9enDlzBkOGDNFHCFoZGQ+xfPk2TJkyVa/jEhERERGVh16W\nmvj5+WHbtm3a9x4eHpg/fz66d+8OlUoFGxsbXLx4Efv27cPRo0cRGBgIAIiKikJwcDBSUlLg7e2t\nj1Dg4+OFY8dOQKXi9oFEREREZDoqbFeTrKwsWFpawsrKCgCQkJAAGxsbtG7dWtsnKCgI1tbWSEhI\n0Ms1nzzJgyg6wcxMCoVCoZcxiYiIiIj0oUI+XJmZmYlp06Zh9OjRkEjya/vU1FTUrl1bp58gCFAq\nlUhNTX3hWBcuXCjVNc+fv4EPPliOSZM+QocOHcocO726U6dOGTsEKgXmqXJgnioH5ql03NzcIJPJ\njB0GkV49fPgQycnJxR7z8vIq8dwSZ7ynTp0KiURS4isuLk7nHJVKhR49esDV1RXz5s17xVspOz+/\n+oiMnIrc3FyDXZOIiIiqn++++05bB8XHxxfbp0GDBpBIJAgJCTFwdFTYsWPHEBkZqffNPMqqxBnv\nDz74AEOHDi1xAFdXV+3XKpUK3bp1g0Qiwa5duyCVSrXHnJyccO/ePZ1zRVHE3bt34eTk9MLxfX19\nS7x+AY3GHo0aeXAnEwMqmPFp2bKlkSOhkjBPlQPzVDkwT6+mqk+GyeVybNy4EW3bttVpP378OK5f\nv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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3532,16 +3497,16 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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q1izIzYUOHaBv3ws37mVMAm8hhBBCXLa0mV+iFJTDQ39E1yvRl/2K/6ABVEYH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W3Mc5qbl25ayk0lX8TU62/oUi5zoFE9hq3Zxr73oqyqeHq60b17MBERoXTvHkzDhoWXZ79yJZvo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\nAAAAAElFTkSuQmCC\n", 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136ioqMaaomhkmzdvBuQ7utrJ93RtkO/p2iDf07XhrN/T/Pnwn/8QVFkJH3xwBWZ2+eUW\nH2PT3pUk715JSYW2/N7OtWmU5JfTa0g7AHxC3EjfnWN+zYDB0YQHhdIiIJjm/sE4Oziec4waQy0n\nyssoLS8j42gW23bsZc+uDNat3MHBPUdRTaeKK1q0CGLY4AHEx0fj4+OAi4vDBS8rraoqBQUleHpq\nZ7Q3bNjFU0+9z9atCYAjbm59+eOP+2jbNh6ADh1ieeCBBy9ojItVerl2rpw4cSKxsbHMnDmToUOH\nsm3bNubOncusWbMArQD+6aefZubMmURERNCiRQtmzJiBo6MjI0aMaKxpCCGEEEKcqbRUW7sb4PHH\nL70/VYVff4U//oCPP76qdrcsrzzOlv1r2bRvFYdzD3J4by4piYcZNDoaAO9gV/ZtPmpu3zWuDQ/e\nfyvhgSENCtqnO368jNWrt5KQkExCQjJ79qTVOe7l5UZ8fDT9+nWhX79ogoN9zcf27NnT4HFKSk7g\n4qLNKyenkLZth5GTsxW93oWoqFao6ttUVblhZ2eHj48zq1atanDfl1OjBe+oqCh+/vlnpkyZwmuv\nvUZwcDAzZszg8dP+cE+aNInKykrGjRtHcXExXbt2ZdmyZdjb2zfWNIQQQgghzvT551BWBn36QLt2\nl97f8eMwahQUF8PgwTBw4KX3eQlMJhOHsnazftdSVq5bxtJvNjN0oraBoWeAC9lp21BNKopOwSvA\nhYcf6kJMwkG6pB3H98e3oVVog8apqaklKWkXy5dvIiFhIxs37sZoNJqP29vb0qtXJP37xxAfH0Pb\nts1QLuKHkvLySmxtrdHpdNTWGggJuY0DB1bi4RGEt3dr2rRpz5EjEBbmhpUV7Nix44LHuBIadefK\nW265hVtuueWcbaZOncrUqVMbc1ghhBBCiLMzGmHuXO3xU0+du21DOTvDSy/Bs8/CpElw0011tjO/\nZMuWgasrdOlyzmblVSdYtekPRt7zGPf+Xxw6nYKjuw0l+WVUltdga2+FnaM1D73SH2srK9o3jyA6\noj3hejt0K16GPUdhzlfw6Sv19m8ymUhJOURCwkYSEpJZs2Yb5eWV5uN6vZ7Y2PbEx8cQHx9NTExb\nrKwu/EJFg8GAqoKlpQXq3xvpNvEtPvviTTp1ikGvdyA+fgB79pTRu7e2MeOaNWsueIyrQaMGbyGE\nEEKIq86qVZCWBqGhcOutjdfvuHFaoE9J0erHG2t9b6MRnngCDh2ChARtF8rTmEwm2rZvwxMvDSet\nYCcGowF0JvKPluAd5IpOr+OhV/pjZaMF4BYBIUS3ak+H5hHYWJ22mc7HU6D1PfDTCnj//8BGO5aZ\nmWMO2suXbyIvr6jO+K1bhxEfH018fDRxcZ1wcrrwC1VVVaW21oClpRZFhw59gREjBjOkW3eU254h\nTlHYtfEoUVF3APDDDz9c1Jnzq40EbyGEEEJc3/r2hTVrtDrvxjwrbW0N//oX3HcfvPwy3Hsv2Nld\ner8//6yF7tBQ6N0bgKFDh/LU0+Mw2OazYfdyKinmj6W/0aKjP6CtpW1te+pMs7+3N9Gt29Mloh1u\nTi71j9MqFCJbwrb9JE39mC9PVJCQkMzBg5l1mvn7e9Wp0/bzO9caI2dnNBrRn/z8J016D0XRMXLk\ncEymMGJjb2bbthzu3vgtVFfz3p13opzchBG4LkI3SPAWQgghxPVOUaBnz6bp+957tQ1uioshPR3a\ntLm0/lQV3niDyUD7fr1ofziRrIJUiqoymDz7SSL7akv+xQ+PxNru1NJ7NnZW6HQ6OjSLoHu7zrQI\nCD5rWK2qqmb9+h0sX74Jw4lycoDFr39J2cnjTk729OkTdfKsdgwtW569r3pt3QfhQZjsbNDptCUL\nP/54ESkpGbz77gzAkejogcyb9zlDh7qj07kyceKz6EtKIDgYAKUJN7G5kiR4CyGEEEJcLJ0OFi0C\nHx/tDPhFMBoNvPnu6xSV5hMT4UxWJx2b3SL4Y89q+vxWAkBojDuWVqdim63DqbHcnFzo3rYTMa07\n4GR/ZtmH0Whk+/YD5vKRdet2UFVVbT5uZWV5sk5bC9qdO0dg0YCt1/+Xqqoo3/8N907hb18PPmgd\nxk/LFgD2dO58C598MgGdTruIc/DgewgJaW5+rV6vh/feg/JyGDAATi49fb2R4C2EEEIIcSlOnqVt\nqJraaj7/5mNWrF5O5/5hZBce4cDuTFI2HKbisW7Q0ouwQBdCT9tb/PSgDaBTFNqGhdO9XWdaBoWh\nO+2MtKqqpKUdMwftFSs2U1RUd33pyMiWJ8tHounRoyP29uffEfJcDhw4zIMPTiURPQoQmV3A2pxC\nTEsPYDFwIJ06eZGYmGhub2FhUfcselmZFrwBXnzxkuZyNZPgLYQQQgjRhFRVJWH1Ej746H36De3E\noWN7ycksYNmfW/DuqIXPoJZeeAacqsW2sbOqty8XBye6tY2kW5uOuDg4mZ/PyytixYpNJ5f5SyYj\nI6vO60JC/E4u8RdNnz5R5s1nLlZ5eSWdOt3Hrl2/Y2HhQmhoCAcOHCNvxAi8C8vxaNuWwz//jMV9\n90F6OjpnZ6ys6n9PANjba7Xtv//edGVBVwEJ3kIIIYS4/hgMMHMmPPggBARc9uFT0w4wYeKTDH9i\nIPsyt5OXn88fP/+NXxc9egsdHn7O3PzgqZ01La0tsLSuG8ssLSzwdffC38Mbf09vAjx9CPbxR6/T\nUV5eyV9/bTBvXLNjx4E6r3Vzc6Zfvy7m1UfCwi7tM1BVlZiYkfz22wd4egZja+uIjY0z27ZVEBPT\nDp0O0tPTcXZ21urUVRX7l1+G7t21pRfPR1EgLk67XcckeAshhBDiuuOyZo1WsvDNN9pyf028KobB\nYGD4iOFMmvYkq7cvJiM3nZUJq/DprODgbIutvRWDx8Wi6LR5KDoFz4BTgdTZ3tEcsP09vfH38MbT\nxc18caLBYGDTpj188+lSEhKSSUzcSW2twfx6GxtrevbsaK7T7tgx3PzaBquogmN50CIIgBEjXmTi\nxAfp3Lkr4ICvbxgrVmQxfLgWjlesWImbm9up9/BPwFYU7favf13ox3jdk+AthBBCiOuO98KF2oPH\nHmuy0D1+/HimTJmCl5cr+48ksSF5Fa9/kotvqBs6ncJtj3ars8Sfd9Cp8g53JxcigpsRERRGmF8g\njnZ1d/FWVZV9+zLMddqrVm3h+PFy83GdTkd0dBtz0O7WrR02Nhd3cScAm3bzcveH6RTkwx0HVgCO\neHqG8fffGURFDUdRFP77389wdT3tPbi7X/x4NygJ3kIIIYS4rtju34/jtm3g6AgjRzZav2+88Qb9\n+/enQ4e2qOoJjhw5yIIf3sTCt4ZDWZn0uKs1Tu6nArRP8KmQam1pRYvAEFoFNSMiOAxPF7cz+j92\nLI/ly5PNG9dkZeXXOd6iRZC5Trt37864ujqd0ceF+PTTn6mqquXxxx+C1t1w1+lZcugodx40obT0\n4aWXXsXOzs58EaSn58Wt332Gzz+HsDCtrvsGI8FbCCGEENcVn6++0h6MHg1OFx9OFyxYgKenJ/Hx\n/VDVExw7doDff8+iQ4cHOVZwjLZxXuwq3ImTqm2ac/oZbUVVCcwsIWJ/HhFHywh98Qn0t91Up//S\n0jJWr95CzieL2bbjIB8fzeW0hUzw8nIz12j36xdNUJDPRb8XgKVLE9mwYSdTpz4FOODm1pIPPviC\nJ56YhWKvMHLwYAwLF6J8+y1Mm9bwoF1WpoXohvxmYfNmeOQR0OnweP55LIuLtRp8n0t7b9cKCd5C\nCCGEuH5kZOCyahUmKyt048df0EtXrlxJQUEBd999N6paQX5+GitW/EJ8vCeKYuTxx28mKy+Pz5d8\nz/aDe0EHTm5n7lQZ2aI1t3SLwzu9AF74D+zcBy2CqKmpJSlpl/mCyOTk3ahGI/uBsUCBtRWVJ3eI\njI+PoW3bZpe0Y2NKSioffbSIuXOnoKpOeHu3ZcGCd5g27WMURWHAAE86dIg1j+E6ejQsXKjVxU+d\n2vASnQcegMOH4dNPITLy3G0jI2H8eHjnHUJmztSeW7sWdu5s8jr8q4EEbyGEEEJcP0JC2Dt/PrZp\naTRr1uycTVNSUti4cSOjR49GVas5fvwYH3/8EXffHYGi1HDXXZ3o0EEL3UXHS9icuZPkvTtRVbXe\n/lqHNGdQt94EevkCYHJ2Y9frE9jWrjnfTfmANWu2UlFRZW6v1+uZ3DKY5vsPU+XrwTeHfsbK1uai\n33p+fjETJ77FV1/NRFUd8PXtwJdfPsKcOfOxsbGhfftgvv/+B3N7Ozs7wsLCTnXQpw94e0NqqnZm\nukuX8w965Aj8+ivo9eDre/72ej28/Ta0aoXpiSfQGY3w1FM3ROgGCd5CCCGEuM5UNWtGVT2hOysr\nix9//JHx48cDBozGEmbNeo1Ro7qiKFX07RtETc1tKEoNAAEB3nj7uPPXxjX8vWk9tUbDGX0CNPML\n4tbYPjTzD+Lw4Ww+/fRnc512fn5xnbZt2oQRH6/Vacc188ex9VAAbKaMggsM3UajkeHDX+Srr/6F\npaUzrq7eLF2azNGjrgQEBOHurrB8+XLzLpQ6nY7Ic52RtrCAhx6CgwfB0vLs7U73ySdgMsHQoRdW\nLjJ2LPutrbE9cICQ0aMb/rprnARvIYQQQlyXKioqmDt3LpMmTQJM2NjU8uKLUxgzJg5bWxPt29sw\nadJ9qGo5Op0eR0d77rkn3vz6vYcP8eOqv8gvKaq3/wBPH+LaRXNkfz5zZnxDQkIyqalH6rTx9/eq\nU6ft6+tx6uDg57R7VycYdXuD3tP48a8zefIofH2DUBRHDh3KJzm5gh49umBhofDHH3/i7u5pLh/p\n0pCz1qf7978b3ramBubN0x4/8cSFjQOUt2lDeZs2hFzosofXMAneQgghhLguqKrKm2++Sffu3bGy\nssLKysCbb77BsGFdCQ52wtXVxDvvTMRgKEFRHACFsWOHnNFPSdlxFq1ZptVx18PByp7aXPjh67VM\n3vJJndITZ2cH+vSJol+/LvTvH0N4eHD9ddqqCp0iYMteeOlhOMuW7W+88SX9+kUTGdkeVXXk2LFy\nEhKyePDBASiKwieffEpw8KkxoqOjL/yDu1iLFkFuLrRtCz16XL5xr2ESvIUQQghxzfr6nXfob2GB\n17hxqGoVCxd+jaeniS5dgtHr4a23nsLCovxk0IaHH77zrH0ZjUZW79jEkqTVVNfWnHHcUG1kw297\n2LkhHdWkhW0rK0tiY9ub19Pu3DnCXNpxTooCL4/RbqdZsOAvPDxc6N+/O6rqSE5ODb//vp/IyBHo\ndArTps3E2dnZHLQ7d+7c0I+q8en10KyZdrb7BqnRvlSNGrynTZvG9OnT6zzn4+NDVlZWnTbz5s2j\nuLiYmJgY3n//fVq3bt2Y0xBCCCGuT/v3w5w54O8P06Zd6dlcEcuWLSM4OJjw8HDUmgp+mTEdU2Ex\n9xuPoUy4mylT7kOnqwVqUBS4//5bGtTvoWOZ/LByCVmFeWccU00quzZkkPTHXqora4mMbEm/flr5\nSI8eHbE/y9nqhli5cjN5eUUMHXozqmpPUZFCQkIS/fs/jqIoPProRKqqqsxBu3379hc9VqO75x64\n6y4wGq/0TK4ZjX7GOyIiglWrVpn/W6/Xmx/Pnj2bt956i/nz5xMeHs706dPp378/+/fvx8HBobGn\nIoQQQlxfSkvhv//VVp546SXtYrjr3NatW1FVlU6dOgEmli37HUdHK15++WGUqa/zaGExeg8XdPfF\ngwJDhvRlz549De7/REU53yX8yc70ffUez80sYf/6LKLbt+Xxz++lb98ueHq61tu2IVJSUklM3MWY\nMYNRVTvKymz4+OMlDB36PIqiZ8iQh2jb9gCKotU9h4eHX/RYjUJVz302W6fTbqJBGv1vrF6vx8vL\n64znVVXlnXfe4YUXXmDw4MEAzJ8/Hy8vLxYsWMDYsWMbeypCCCHE9aVLFwgPhwMH4O+/YeDAKz2j\nRpeWlkZWVhbdu3cHVBITV7Fp00Y++2wGilLGvfd2ITX1CLqEFTD7C+J1Olj0Bni4NHiM8vJK/lq+\nnrXbN1NtU4Wltf6MNiaDir+tHxOeGEnzN4Mu+v1kZeWzcOFSJk68H1W1BtyZNetrHn74FRTFkj59\nAqmqskOvu3EkAAAgAElEQVRRtEjm5+eHn5/fRY/XaA4ehBdeAGtrbV1v0Sga/UeUtLQ0/P39CQsL\nY/jw4aSnpwOQnp5Obm4uN910atcmGxsbevXqxYYNGxp7GkIIIcT149dfYetW7fGDD2r3/+zOeI0r\nKChg+fLlgHaSbs+e7bz00iRUNR3YxcCBzWnXzg+d7jiKYiIqqjX39u4MD7yidfDqWOh57k1bDAYD\niYk7mf7aPO6472ke+L/JrE5PxORcW2/o7hLRjpmPPcMLT4yhebMLC90VFVX861+foqqgqhbY2voy\ndeo8KipCUZQ2tGnTjxdffBlV1aMoCg4ODtxzzz0XNMZlYWenXTz5449QUnKlZ3PdaNTg3bVrV+bP\nn8/SpUuZN28eOTk5xMbGUlRURE5ODgDe3t51XuPl5WU+JoQQQoj/YTTCY49B586wZQvcd5/2/OLF\ncPz4lZ3bRaioqGDZsmWAFrRzc48xevRDGI3pwG7i4jyJjAxBUYpQFANhYf48++z9dTspLQN3Z+jb\nBV4YdcYYqqpy6NAx5s5dyB13PEOLtnfywpvvcNQik+BodwJaeJzxGgAfNw/G3/UgDwy4Eyf7hpXA\nqqrK7NlfUFVVg6rqsLLy5L33fiAtzRpoj4tLe+bO/Q9GowWKoqAoCg8//HCdUtyrkr+/tqFOTQ38\n9NOp51VVarovgaKebfulRlBRUUFoaCiTJ08mJiaGHj16kJmZSUBAgLnN6NGjyc7OZsmSJebnSktL\nzY8PHjzYVNMTQgghrnpOGzcS/uSTVAUGkvLTT6AotHz0Uex37CD13Xc5HhNzpadYL1VVURQFo9FI\ncnIy3bp1A6Cysoybb76FNWu+w9a2FlWtYPr0z5g0aQS2ttYN7l+pqEZXVY3RzQmA3NwikpL2kJS0\nm6SkPZSWldGycwCtY4LwDDh3GYql3oLOYRG0C2qBvgH1yr/8so7Y2LZ4eroDdtx772QmTBhHp07d\nMJlg6dKldOzY8YyTjdcaj19+IWTGDI5HRXHgww8BcNiyhdBXXyX7oYcoGHLmUow3uhYtWpgfOzs7\nn3G8Sa/KsLOzo02bNqSmpnLnndryPbm5uXWCd25uLj4XstOREEIIcQNxO3liqnDgQPNFbocnT8bg\n6orBpeF1zU2lqrackop8SioKKD15vztlDy6+Nrg4uuNu78trr7zPux+9RIdWYXjY1zJ0aG9KSg5h\na+uOosDUqWeetT6f40Yjm7ankpS0m8TE3aSlZeHiaU9AuCdRg5oT0sYHvcW5Q7SXkysR/iE08w7E\n+hw7Na5duxM/P3eaNQtAUWxZs2Y/BoM7gwbFYDLpGDnyERwcPDGZtPYDBgy44PdzNSru25eg2bNx\n3LIFy7w8ar288PrxR6yzs7HKz7/S07smNWnwrqqqYu/evfTt25fQ0FB8fHxYtmyZec3Jqqoq1q1b\nx5w5c87aR1RUVFNOUVyCzZs3A/IdXe3ke7o2yPd0bbjs31N5OZxcKcz/+efxb96ckxO4POOfxmCs\nJSPnAFkFGeQUHiG76Ag5RUcorzxOUc5x7BxtsLG3AmDFT1voNqgVFuF6yqpKaBXrz5JNf7IlxwUv\nV3f6DOuE3s0KGxdH/D29sba0Ou/4NTW1JCXtIiEhmYSEZJKTd2Njb0lAuAdhXb2Je7AdDi7n33Ld\n3taOLhHt6Nq6I34eZy4GAbB58x5MJhNdurQFrJg/fz3HjqkMGvQ0imLNpEluKIpCp07aZjXX9d/b\nW2+FZcvoAFr5yapVoNfjN3UqfqedSL0Y1+P/906v2qhPowbv5557jttvv53AwEDy8vJ47bXXqKys\nZOTIkQA8/fTTzJw5k4iICFq0aMGMGTNwdHRkxIgRjTkNIYQQ1zNVhaQkyMmBk6tkXbd++UUL3127\nwj+h+zKqqqlk7+Gt7Dy0kT3pm6msqQCgrKQSRVGwd9aCbvLSAwS19KR112AAIqICMNScqgPuclNL\n8+O84kLyigvZvD8FAEVR8HB2xdHWHgc7O+xt7HCwtcPOxpaSwhPsTclgS/I+NqzdyYnjlfiGuhEY\n7sHwSXG4ejs26H0oikKr4GZ0bd2RtmHhWPxPfXVq6hGOHs0lLi4K0LNp02E2bNjB/Pl3oyh2DBs2\nltTUVHQ67f326dPn4j7Qa9F774Gbm3ax5fTpYDDAkCFwiaH7RtWowfvYsWMMHz6cgoICPD096dat\nG0lJSQQGBgIwadIkKisrGTduHMXFxXTt2pVly5Zhb2/fmNMQQghxPUpN1S4otLSEiRPBxwduuUVb\n7ux61bs3zJ4NoaFNN8bcudrKFR9/DBERHC8vISU9mZ2HNrL/yA6MRgPVFbXUVNfi6GoHwM516eh0\nCl1vaQVAsw6+VJWd2umxfc+wBg+vqir5JUXklxTV30APgd1cGdYt7oLfmoezK11bd6RLq/a4OjqZ\nn8/LK2Lr1n3cfHMsqqrj4MFCZs36nFWrhqMoDgwc6EJ1tQM6nZZPOnXqdHId8RvQPwG7tlb7MwLa\nTpXiojRq8P7222/P22bq1KlMnTq1MYcVQghxI1i5EiZNguHDoV072LULvvvu1PJ61yM/P+09N5WU\nFJg4kTxXG3ZNHsHOIT3JKM6kttZAxYlqnNy0oH1w+zGy0gq56X6tVDS4lTeH9+QC2oWJvft3wsfN\nE183T3zcPfBx88TZ3pGswjyO5GWTmZtFZm4WuUUFNNmKDoClhQVhfkG4WNnh7+ZFr66x6BSF8vJK\n/vhjHYMG9UBVobCwlkcemUVGxm50Okd69QpnxYp9KIojiqIQEhLC008/3YQzvQbl5EBgIDg6Qt++\nV3o216zrf8srIYQQ14dt27T7Tp0gPh4efhjefhseeODcO+tdz2prYdkyKCw87w8gBmMthaW55JVk\nkV+STX7xMfJX/kneS/0odrahrLQSx+LDAGQdKiR56X7ufqonAIHhnhw5kI+DrR0tA0O5NdZLC9ru\nnrg7uaA7y0ogob4BhPqeKkkoPXGCpSs3kLxjF1mFeVjYK7h4XfzO1TpFIcjHn5aBIYQHhhLiE4Cl\nhQW7dqWwZs0O4rrGoqpgMlkxbNgUsrP3Ym/vTcuWkQwefDdVVVbY21tgb2/BG2+8cdHzuCEEBmol\nXkVFN+7ft0YgwVsIIcS14Z8NZDp1gthYbVe97dth9WqtJONGtGuXdvGbp6f2m4CTK3MUHc8nJX0T\necVHySvWgnbRiXxU1WR+aXlpFfaeNoAFpfllLPrPekZNuwlFUfANc0NVVUwmFU9XN/p26sorjz1B\nqG/AWUN2fYxGI9u27TdfELl+/Q6qqqrNx62sLOnRqwM9+3SgU1QEfkEeVNZUU1ZZQXllxan73Qco\nMxmodLHH3d2d8MBQWgaG0sw/GNuTpUYrV24mwN0HC70FOp0106fP56ab7qVZs7Y4ONgyYcJTlJQo\nODpq7d97771G+AJuQG5uV3oG1zQJ3kIIIa5+BgPs2KE9jowEGxt4/HF49VX44IMbN3hHRkLr1rBn\nDyxdSmHPLizb9CMb967AZKq7yUllWTU29lYoikJtjYGvZibw8PSbsbS2wNnDHid3OyrLarBztCYs\nIJAvvnuFdmEt8XX3RGngGU5t45qjJCRsJCEhmRUrNlNcXHeTn8jIlvTrF018fDQ9enTE3t723J0W\nH4dh/UEFcpaat4bfseMA5ScqsbW2RlV1vPTSJ0ydOon4+FuoqlIZOnQEJ05YoNNp5TIzZ85s2Gcq\nRBOS4C2EEOLqt28fVFVBSAi4umrPPf44ODjAmDFXdGpNIjNTu6jtfGeXFQUeeID8Oa+xbMNnbEr7\nDNPJs9q11QZ0Fjr0eh2qqrJwzmoGj4vFxdMBSysLAlt6UZJfhmeAC3qdjimvP0C7Zi1pF9YSN6cz\nN/44m7y8Ilas2GQ+q334cHad4yEhfvTvH0N8fDR9+kTh6el6YZ/FH+vAYCSjazssqqoJAFRVYfbs\nBfTu3YsxY8aiKA6MHPkoBoMjOp0jqgojR468cS+IFFctCd5CCCGufm5u8O9/g8Vp/2x5e8Nzz125\nOTUVkwni4rT71au1HzbOIq84i2UtTWye0g8DBkw1KhaW2lJ5v32SRFT/cIIivLQLBlt7U1VioHlk\nMF4ubtzxWTyeLm54urjh4eyKpcVZIoGq1qnpLS+vZM2areagvXNn3R2m3dyc6devC/36daF//xjC\nwi5u2bmCghKOHy8jLLIl6jP3My81C/WDP5kxYzrgwN13j6KwsBCdTvshYezYsRc1jhCXkwRvIYQQ\nVz8/P/i//7vSs7g8NmyAjAztjHdQUL1NcouO8lfy9yTvWY1er4Bex8pvt+Ed7Erb2BAAwtsF4W3j\nxehb7sbTxY03nnBt0EY1dew8iPrk62z5vwdZslWr1U5M3EltrcHcxMbGmp49OxIfH018fAwdO4Zf\nUB34P8rLK8nOLqB580BUFRYvXsOKFdv45ptP4Y3buCVxK0uWLEGn02qMh8h25eIaJMFbCCGEuJp8\n9ZV2f999dUpNVFUlMyeVVdt/ZeuBdWxK2E9NlYHYW1sD4NfMndzMEjxd3BgQ3YNOT7Y9Y6MY1m+H\nP9bDlFHgYFfv8Kqqsm9fBgkJG4mbPo/2BaXYrN3Ge0ABoNPpiI5uY67Tjo1tj43Nha+lbjAYyMjI\nNgftxMTdvPLKx6xb9yfgQP/+o1i9+hA6nScA3bt3p3v37hc8jhBXEwneQgghGsZohAULYOBA8PC4\n0rO5PlVXw/ffA1Ax7C7S0jZzrCCNjJwD/PXH3+zedIibR2rba/uGurF52QHzS3v178jNXXvRObxN\n/WecjUaYMAe27gMHW5gy2nwoKyuf5cuTzeUjWVn5AHgCK4G2wDZ3Z3a8NZHY23rh6up0Zv/noaoq\nGRlZhIb6A3D4cB69eo3lyJFtKIoD3btHYG29EFX1RK/XExLiwNdff33B4whxNZPgLYQQomGSkrS1\nolu0gAMHzt/+cjIa4bffwNkZrsHtvGsNtWQVpJP+1/dkDgojM9yHXV8/x9qfU7h7graWtouvNbmZ\nxaiqiqIo+IW6c/tj3fBx82BAdE8iW7Q+d4nH579poTvAm9KHbmP1r6tJSEhm+fJN7NmTVqepl5fb\nydKRaJzbtYD7XyJg/2EC3vkWbuvV4Pd17Fgefn7aqigVFdW0a3cvx45txtHRl7Cw9rRt25HCQku8\nvJyxtYWVK1de1OcnxLVCgrcQQoiG+eUX7b5PH/jzT6iogLvvvrJz+seXX8Lo0dC1KyQmXunZnFfx\niQLSs/eRnrWPjNwDHM1P40RJOT++u5YHXuyHoii42zlRlHOC2moDltYWOLracf+Ufual/fw9vRkQ\n05MOzVuhO89yfzV5RfDcO1gBr9haMzPoVozGU8sN2tvbEhfXyVyn3bZts7pLCK74COLGwrb9MONT\neHNiveOUlpZha2uNlZUlJpNKbOzDLFnyJRERHbG1deS22+4gLa2ayEhtZZNly5adfdJGI/xvqYwQ\n1zgJ3kIIIRrmn+DdvDkMGqTdX47g/Z//aJvnPPooxMTU32boUHj2We2sfFKSFsCvEgZjLUfz00nP\n3kdG9n7Ss/dRUlaIyaTy1b8SGP58b6xsLLFztEZVVUryynD1dsTCUs/oVweYVykBsLW2JsTHn54d\nomjXLOKsgdtkMpGScsi8nvYtf2/kSYORNcBrBzPR6/V0797BHLSjo9tgZWV59jfh5wkrP4JaA5ws\nFQGorq7BaDRhZ2eDqsIddzzLpElPcPPNgwAHbr/9Lg4dqqR1a6006dtvv234BzdhAmzcCG++qa3y\nIsR1QIK3EEKI89u3TysvcXPTAtGMGZCaCkeOaFtJN6Vff4W//4bbbz97G3t7GDsWZs/WtpH/7rum\nndNZlFUeJ6/4GLlFR8kpOsLhnINk5qViMNYCsPj99cTd1Q43Hyd0OgUnNzuy0ooIae0NwIhJfbC0\n1v5pVhSFIF9fQnz8CfL2J9jbDx93T/RnKSc5fDibhISNrP4rkayEZJaXnDAfexAwAhuHD+C3ETfT\nq1ckTk4XuFV7gDcmk4nK8krzpjePPz6bqKhIHntsLGDPgAF3kZpahk6nvZ+5c+de2Bj/MJlg8WLI\nzgZHx4vrQ4irkARvIYQQ5/fP2e5Bg8DaGnr1gt9/h5UrtbrvpqKqsG2b9vh8m6E8+STMmQM//aRt\nQHOWpfguldFkJLfoKLnFR8ktztKC9smt2SuqTtRpu+K77TRr70twKy2IOrnZceRgAW4+2sWJt4yO\nxspG+6fYzdGZoBZ+BHv7E+LjT4CXzzmX/ysqKmXlys3mCyJTU4/gA+xDC9lRfp70OrlxTVy/aPTH\ny3i+ZcgFv9+qqmrzqiWzZn1BaWk1//73NMCBPn0Gs2XLNnQ6XwBeeOGFC+6/Xhs3aqE7OFjbnVOI\n64QEbyGEEOfXsyc88ggMHqz9d58+lyd4Hz0KBQXg7n7+M+sBAXDPPbBwIfz3vzB9eqNMQVVVsgsz\n2XkoiY27VlFUnoOaqNbbdsvyg9jYWdGmWzAAjq62ZO7PNwfv7ne0wcraAgu9niAvP0J8Awg9eXOy\nP/cZ6Kqqatav32EO2lu27EVVT83D2dmBrn2iqN20G49j+Rya+zzKkL6nOvBt2Eo0tbUGLC21eLBw\n4TIWLVrNwoUfAY707Hk3s2fPQafTNsW5//4HeeCBkQ3q94IsXqzd33lnnc17hLjWSfAWQghxfrGx\n2u0ffU8GuhUrztjZsFFt3ardd+rUsDEmT9aWOxw27JKGNakmDuccYOehJHambiS/NLvedge2HqMk\nv4zoAS0BcHC2IXVntjl4t+8Zhk6v4OzgeDJgBxLqG0CAp8+Za2z/D6PRyLZt+81Be/36HVRVVZuP\nW1lZEhvb3lyn3blzBBYWFvDm1/DcOyhfL4HTg/c5xtGfnEty8m4mTJjDhg0/Aw5063Y3L7/8GYoS\njKIo9OzZm549e5tfqzTF966qsGiR9lg2yRHXGQneQgghLlz79jBqFHTrptXjNtXqE/+UmTS03KBD\nB+12EQzGWg4eTWHnoY3sStvI8fLiM9pkpRVyYOsxet/dHtDOaG9dcdAcvFt2DCS6extCg/zxdnXH\n192LUN8AXB2dzz6wqkLcWNQO4aSPuo1lySkkJCSzYsVmiouP12nasWM4/fpF079/DD16dDTXWtcx\n4maY9B78vhYKS8Ddpc5hk8lkXnYwN7eILl0eJC1tFTqdM+3aBXPo0LNUVHjh4OBAcLAX+/btMwds\nRVG07zspCfbsgYcfbvDn22D5+doYnp4gG+aI64wEbyGEEBdOp4PPPmv6cR5/HDp3htDQxukvM1Mr\njxmplUdU11ax7/A2dhxKYvfBJCqN1XWalxaWk/j7XvOmNU5udhzcepTbH4jFx92Dbq07clf//nRo\n2xIvV3dcHZ3Pu7Tf6fIPHGb/hz/SY+02CtfvIPw/32E87XhIiB/9T9Zp9+kThaen6/k79fWA2Paw\nbjv8thZ15K2AFpqNRiNhYXewffuvODv74enZHFtbJ1JTVSIifLC1haysLCwtT61wov/fH6ry87VA\nbGmprSbT2Bc/ennBoUOQlSXLCYrrjgRvIYQQVy9vb7jttkvr4+BB7YLLRYtg0ybK7K1ICbJkZ1kG\n+w9vp9ZYY25aW2NgyeebuO2Rrig6BQdnWw7vzaW20kiHiJZ4tHLi5i9juWfIoIsqsygrq2Dt2m1s\n+WkFT37xG55GE54nj31jMuHi7ky/ftH069eF+PhowsICLu49TxwBSbvA0oLevR/lP/95hTZtIlEU\nB1q2bEtSUgEDB3YBYMeOHdjY2Jhfenrorpe3N/ToAWvXwh9/wL33Xtwcz0VRwN///O2EuMY0WfCe\nNWsWL774IuPGjauznNC0adOYN28excXFxMTE8P7779O6deummoYQQohL0ZT125fDkCGweDFFrrbs\nbOfLzgk9ORTqhrpT25ZdVVWWfLGJfsMisbazxNLKgtKCcgqyjxMQ4knrFs3p9X0MA/v0xMnBnj17\n9gANqG0+lgePzkTdn0Hi/FdZvnwTCQnJJCbupLbWgBXwAlAG5DraUd0sgH7/fpLx/buee/fJBhgz\nZgZ33NGXQet+hPZRhK9KZ9WqTNq1uwOAxYt/xt7e3tz+9NDdYEOGaMF70aKmCd5CXKeaJHgnJSUx\nb9482rdvX+d/TrNnz+att95i/vz5hIeHM336dPr378/+/ftxcLjA9USFEEI0vUcf1X7t/+9/Q5cu\nV3o2FyS78Ag7Oruzs0VfjvqdKodY90sKrWOCcPNxQlEUaqsMHE0toFl7XxwMKpM7BdB39WE6jh2P\nZfPgCxpTVVXSf1qO15gZOJSWoQC3dn+Yf6rFdTod0dFtiI+PJrFzK6IGxtLM9iKC72lmzfoCFxcn\nHn10FOBAWFgHli8/xG3vjAfgzTffrvNv7Omh+6INGQITJ2o7mFZWgm09teZCiDM0evAuLS3l/vvv\n5/PPP2fatGnm51VV5Z133uGFF15g8MnlqObPn4+XlxcLFixg7NixjT0VIYQQl8Jo1JZ1KygAO7sr\nPZsGO15ewuK1n7Fl/xpwgO1b8nAvqyIwXCvqqK02cnhfvnkt7VsfiKVL27b0iOpEmIcvur+ehuRk\nuON52PYNnGtHR+DYsTyWL9dWHrH4fS1zi09gD6wGHgC8woMY0T+G+PgYevfujIvLpdVEL1y4lL17\nDzN16jOAI0FBHfnhh1957DFtm/fx45/FyurU+t9OTk6XNF69goIgKgo2b4Zly+COOxp/DCGuQ40e\nvMeOHcs999xDXFxcnfVF09PTyc3N5aabbjI/Z2NjQ69evdiwYYMEbyGEuNokJmqhu1kzOFtJ4O7d\nMHUqeHjARx817vgXWOZiUk0k7U7g9fdeo6q6ivBOWo2wodZIekqOOXh36tscHw8P4mK60L5ZS/w9\nvOuWjvz4OsQ/Ac/eV2/oPnGigl9+WWUuH9m7Nx2AHmhhWwesCfPn8OSHWH9zNwIDfS72EwBg/frt\nfPXVEj74YDpa0I5i1qyFTJsWjqIoDB48nEGD7jK/B8fLtdPjM89Abi5ERzdOf7m52gW7Q4ZAy5aN\n06cQV5lGDd7z5s0jLS2NBQsWAHVr4HJycgDw9vau8xovLy+ysrLO2ufmzZsbc4qiCch3dG2Q7+na\ncDV9TwEff4wPkBMTw9EtW+ptY334MO1++olaFxd2jB6trXbSSNoMG4bR1pbUOXMweJx985ft27ez\nc/c2vNor5B0/SlV1JQe2HDMH74ioQKora/FxcSfUy4/Q7n442WmlF8fzizieX3Rmp59NAr0O9uyh\npqaWHTsOkZiYQlLSblJS0jEaTeamtrbWREdH0C2mNdnrdmHRJQKPR27DQ1E4caKIPXvq6f8cjh3L\nZ86chbz99nOoqgPV1a58++3fjBr1PHp9BTqdEzNnzmLLWb6Ty6ZFC+127Jh2u0QeixYRMmsWJX/+\nSerbbzfCBK+uv0/i7K6n76lFixbnPN5owXv//v28+OKLrFu3zrz0kKqqdc56n02TLMAvhBBNxKKg\nAMVkotbL60pPpemoKi5r1gBQEhd31mbVQUHUeHpilZ+PbVoalc2bN8rw+uPHsU1Lw2RtjcGl7jrU\nGRkZrFy5ktGjR6NSTkbRJhZ8t5ARIX0ACIrwwt5Zqzl2d3AmrlUnQrx8sbVqWC21yWTiwMGjJCXt\nJjFxN1u27KOy8tTKJxYWejp1CqdbtzZ07dqGdu3CzDs9lj4w4IJ/+KiqqmHChHf56KPJKIoT7u7e\nbNiwh+xsd5ydnXFygs8++8x80aWFhcUZJ7GuB64rVwJQ3KfPFZ6JEE2n0YJ3YmIiBQUFtGnTxvyc\n0Whk7dq1fPzxx6SkpACQm5tLQMCp5ZFyc3Px8Tn7r+GioqIaa4qikf3zE6p8R1c3+Z6awPTp8O23\nsGkTNNKF4Vfd95SXBxUV4O5OxOjRYHGOfy5uugm++YY2eXmNt8LFyRCm69CBkObNmTNnDrNmzUJV\nq/H3t+ORRx7m0Ym9Wbz2T0osCokZGIGqqiiKgo2dFaEtfbilW2/iOkajb0AQzsjIMtdpL1++ifz8\nupvntG3bjPj4aMLDfYmKakmXLp0v6e0NHTqZDz98EVdXP8CRwsLXqa4Op1OnziiKwsaNyYSHh2s7\nUXIV/bloKiUlWr24TkfohAmEnuM3HA1x1f19EvW6Hr+n0tLScx5vtOA9ePBgok+r81JVlVGjRhEe\nHs6UKVNo0aIFPj4+LFu2jM6dtf9hVVVVsW7dOubMmdNY0xBCiKa3cqW2NvSSJXDPPVd6Nk3Dywty\nciAt7dyhG7Tt47/5RvtcJky45KENBgPPvvIKbwG6/2fvzuOiqvoHjn/uDMywDfsqIDuioiiyugUC\nmuKS+rPSlqd8ynLJlqdHs6fUTG0vS8vSFrUylzIzTUMEXHJDcQXcNxRFREDZhmXu749LoyQKImbW\neb9e85ph7p1zzh0Ev3P4nu/p2AGdzsDs2Z/w/PN9cXY2x9K6hIdHx/PZTwtQm6hRqVX4tXczvr6t\nTwBDYu7F3tr2un0UFBSRmrrDuB370aOn6xz38HCp3Yo9gh49wnFzc4TNezhx4DBllubK5jTebuDR\nuJnn8eM/4uGH+9C2bXvAikuXZFJTzzN48D1IksT33y/D29vb+Bfgf1yZ3VWroLoaYmKU9QKC8DfV\nbIG3jY0NNjZ1t8S1sLDAzs7O+AvkueeeY/r06QQFBREQEMDUqVPR6XQMGzasuYYhCIJw+/XtC2lp\nSg3jv2vgDcqugQ3kKwLwe2rAli1Nrvv92muv8e8nh2NppaVMn88v+3fTxdsOv/YaKg4t58VJD5K6\nOxWVRmLnwf1ITjWoqburoY2ljsH39CLEP+iaFMby8gp++22PMdDOyDhQJxXSxsaKHj2UTWvi4sIJ\nDPSq28bug9BjJJ6magqGJ8Ls5dDWFzZ9AfVs2/7xx0to1cqbuLhuyLIVly6p+fXXEwQH348kSXzw\nwc4QjZMAACAASURBVEycnJyMfVz91+K7ksEApaVN38Vy2TLlftCg5huTIPwF3dadKyVJqvOLa9y4\ncZSXlzN69GgKCwuJiooiKSmpeWqKCoIg/FkGDoQXX1Rm6fR60Grv9IjuLB8fZbY7IqLeoFtfVUFx\nyUWKSwsoKrlIcUkB3y9ejoevExb2aopLC1iwZBXbTqzCv0MLANo+2I41rjqsqnIgJQfUkH/gfL3d\nS0C3kHASo2Mxr/1e1NTUkJFxwFh5ZNOm3ej1V/K0NRpTunQJMc5qh4YGGdM66tU+APp1Q/39Opw/\n+l55rnsoaJWqJ8uXp6HXV3H//b2RZR2lpVp+/HEPcXFPo1JJ/Oc/L6NWq43/J7Zu3fpm3+W/ruXL\nYdQo5UPohx82rY2JE6FtW+VnSxD+xm5r4J1am6N3tUmTJjFp0qTb2a0gCMLt5esLHTrA7t2wbh30\n6XOnR3TnxcTU+TLn/DF+2bqQY2eyKK8s49i+s5hbaXHzsQdg89a9WB8yJ7SHMqMeGheAmcWV0n0t\ngxq3cNXdyYUHeyTS0qUFR47k1M5obyMlZQdFRZfrnNuxY6vaQDuSrl07YGFxExvXqFSw4DVKj5/G\nYvdhtj03jD0BnoxQa5ANVuj1OhYsWMb9949DkiQeeugp8vPzjYG2fzMtOv1LcnODs2eVWesPPmha\nZZuQEOUmCH9ztzXwFgRB+NsaNEgJvJctE4H3Vcr1ZfyydSGLl39NRVkl3m2UHOii/FJOHThvDLzb\nRnlRVVltfJ27n8NN9aMxMaV7cDglZyqZ8r8vSE7ezqlT5+qc4+PjTlxcOAkJkcTGhuHkZNfk6zp2\n7DQ//JBC4lf/Q3XZgKR2YOa//8uIEVOQJDW9ejnh6OiHJClBp7u7O+7u7k3u764SHg4eHnD6tLJA\nsrnqegvC35AIvAVBEBpDr4fBg5X87hEj4IEHlOf/7//u7LiaW0kJLFgA/fsrwVQjZWdn8+PqxZRZ\nn+RSaSElReVkbTtpDLz92rtRcO6S8XwnD5tr2jA1McFcY4aZVou5RouZ1qz2Xou5xgwVEmdOX+Bw\n9inSkvby3vbv67zewcGGuLgIY562r2/jx/9HRUWXmTFjIZMmPYUsa7Gw8GDatHnExDyApNEQ1rEj\nr75aCijpI7a2tsTFxTW5v7uaSqWkiMycCT/8IAJvQbgBEXgLgiA0RlKSktN95gw8/TQEBsKrr97p\nUTW/pCQYPVoJvrduve5pZ8+e5ZdffmH48OGcLzzNVyvf4fP3lvLwBCX49AhwRF9eBYBKpcLb242Q\n4EBsrHTYWlljY6mrfawzPtaaaur0UVVVTXp6pjFPe8uWvVRVXZklNzPT0r17R2OedkhIoLHW9c0y\nGAxMnjyHiROfRK3WYmHRgg8/XMKIERNwc/PG1VVi9uxP0esNmJmBWq3mgd8/fAnKh9KZM5W/AL35\nZuMW2BoMzbrhkiDcDUTgLQiC0BiLFyv3999/Z8dxu61YodwPGFDn6dLSUr788kvGjBkDyKhUFbzw\nwvM4BFxm/Z6NVJlU0yayJbJBRlJJmFlq6N4rhMH39KKNTwCqRgRisiyTnX3cmKedlpbB5culxuMq\nlYqIiLbExUWQkBBJdHQ7zMyavrB11qzFPPhgLxwc7AFrfvxxE336DCMyMgxTU4k5c+ZiamplzNMe\nOnTo32qHvWbVtSu4uir53sXFYHv9Uo6Ack7PnvDSS2JBpfCPIgJvQRCEhpSXw08/KY//zuUDq6th\n5UoA5P79+XDGDMaMGYNarUajqWHSpIkMHhyOm5sZ+WUHiO4TxJota9GYmaJSScaFkmqDTHxUNxLC\nuqIxNb1Rj5w5c964cU1y8nbyz17ACzgGyECrVl7GBZExMZ2wtW1iuTrghx/W0b59AP7+XsiyBb/+\nugsHh9Y8+GAMkqRi2rS3cHT0NOZpD/k7f6+bm1oNR4+ChUXD51ZWKila27fDK68o6VsN/DsRhL8L\nEXgLgiA05Ndfldzn0FD4G1en+GbyZO4tKMDB3x85yJcvh84hIqIl0dEBmJhU8saboziTf5DVGdns\nOXqAwKgW17QReCifISsP4HJ4Qr3BVHFxCWlpO4zpI9nZx+scT7C3IeliMRe83SjfMBdPz+vvbNyQ\njRt3YW6upVOnNsiylrS0bA4fLmXcuEQkyZTnnnsJnU6HJCn1wPv379/kvgQaF3TLsrJGIjlZ2aRp\n5UoRdAv/KCLwFgRBaMgvvyj310szkWUoKLjrdtxbvXo1AQEB+Pn5IctVLP3uW0yAB/p3QVJl8fLL\nD2OQLrI1azuHTh3jFCfITMusty1rCysGdk8gdM4UpFMXYXsmdO2AXl/J1q37jDPa6elZ1NTUGF9n\naWlOTEyn2gWREQRv3QcjpuEY3R5uMujOyjrGhQtFdOsWCpiwfftxDh06TWjo/yFJZjz66Cjy8vJQ\nqZRc8n/sYsg76bXXYP58JUhftUqpAS8I/yAi8BYEQWjI7NkwdCi0anXtsRMnlFxVWYZDh5q0a+NN\nqayETz5RZt+7d7+pl27duhWNRkPHjh2BGtasWcGuXTa89NK/kKRynh4zCGnLLvYmtOJg2mqO6I+x\nefv2G7YpSRLd2oeRGB2DudYMObYTZB3jt9c/Z6pKxYYNGZSVVRjPNzFR07VrB+OCyIiIYExNr/qv\naHZtpZLQoAavJzc3n/37j9KzZxSyrCI7+zxz5nzP6tUPIkmW9OtnzoYNG1CplJ0lw8PDb+r9EprZ\n6dPwzjvKgsrFiyEs7E6PSBD+dCLwFgRBaIhafWVb9D/y9ISiIsjPh8xMCA6+feMoKVGqRyQlgaWl\nEui3uDbd43cHDhzg/PnzdOvWDTCwZUsqWVmZfPrpq5TrLxB3rz+Hj51i0771XLxUxNEWFZzqaoN8\ncFujhuPl0oL7e/Shpkxm4TdrSE7ejtkvv/EVUJm0lTW15wUH+xnztLt374hOd4PdijMOKPf1BN6X\nLpXw22976N27C7IscfZsGc888z7Z2RlIkhU9enizZ08eKpWSBx4YGEhgYGCjrkX4E3h4KDucZmYq\ned2C8A8kAm9BEIRboVYrFUA+/1wppXa7Au8LFyAxUVmQBmBiAvv31wm8z5w5w969e7n33nsB2LYj\njU8++ZTJ7z9FUUk+xZrj5FUeY/ynr1BZXWV83cm0k40ehlajwcvJHalMzb60Y8S+MpKjR08bj9sD\np9UqJD8Pvnn1CXrEReDm1sgUnOpq2HNYedwhkKqqatau3UqfPl2RZdDr1Tz44Cvk5R1Eo3GgQ4cQ\nevVKo7raHI1GjZ2dHVOmTGn0tQi3yYYNsGiRUrGkZcu6xyIiRJ1v4R9NBN6CIAi3auDAK4H3xIm3\np48HHlCCbm9v+OoraNuWIlNTUpYtY9CgQciyzPnzOYx5ZiRfLn2NHQfTOZRzHFlXzuptvxqb8Q51\nrhN0N0SlUtHS2Q1tjRknsvNIW5PBzp3fI8uy8RwbGytiY8OM6SPugV54NCXlpqCYVJ8WdAVM7GyQ\naiQeeWQyu3en4e4eiKOjGSNGPEVxsQoXFyVP+6OPPrr5foTba+ZM+P57JTXr2Wfv9GgE4S9FBN6C\nIAi3Ki4OdDrYs0cpqebn1/x9fPABlaNG8f3QoQyLiUGWZaoLzvLYY/8ivmcAh8/sY/uJDGw8TViS\n+gNqtQqthSlRfVrfdFeu9o7YaW3JO1HE5nX7+XT9KvT6SuNxjcaULl1CjIF2aGgQJiZN++9k797D\ntGzpiq2tDtnZiec1WmbNfJPOciBqtSVjxz5HUZEKT08lT/udd95pUj/Cn2jwYCXw/v57EXgLwh+I\nwFsQBOF6fvkFOnS4YR41AFqtkrN64ACcP9+sgfeiRYsYNGgQpu3aoUpdy1g3D7r2C6NFCwsKyg4S\n178jEz55BbVWmWHuel/jUl00JqbY6ayxMzXHrqQSg3sLTh8/z85Nh/jm11QKCy/VOb9jx1bGPO2u\nXTtgYWHWpOvJyTmHRmOKi4sDsgwTJ37O4MEDeOihR5EkS4YPH0l5hYUxT3vSpElN6ke4g/r0Ue43\nbVIWU/73v3d2PILwFyICb0EQhPqUliqbfOj1cPasUnP4RubNA43mxuc0wq+//kpoaCiOjo5ADW+/\n/QYtWmjo2rU1qEoZMao/Kzct5Wx5HsUll/EMt79he37uLfF2dcdOZ6ME2job7HQ2XC4qJXXddtq/\n+BFtcy/wHPDhVa/z8XE3zmjHxobh5GTXpOspKrpMaWk57u7OyDK8//5iHBycefnlCYCOIUMeR6/X\no1LZADB27Ngm9SP8hVhbK4uRU1Nh3Dh4+mnlL0KCIIjAWxAEoV6rVik7VkZHNxx0Q5OD7q1bt+Jc\n275KBZ999jH3hbXl4ZceR5JKGf5kLw6cSufImnQOnjpOuUMFB/ILb9imq70j4UHt6dQqGHtrJaAt\nKSlj48ZdzEv+heTk7ezde5jRwFDgApBkp2NIfCQJCZHExYXj6+vRpOuprKzi/PmLeHi4IMuwYMFq\n9uw5wdy5HwE6EhMfrS3x5wDAQw891KR+hL+4N9+EadNgyhQRdAvCVUTgLQiCUJ8lS5T7622a00SZ\nmZnU1NTQrl07QGbp0oXY2JgxeHA3JKmUh21kzn80i1W682Q5mHCmMg8KUG43YH2pgk7tQwmL7oyH\nkyvV1TWkp2cad4jcsmUvVVXVxvPbaUx5t7oGDAYuvTOW/S88jEqluunrkWWZvLwCXF2VyiWrV29l\n5swlJH05E5Ylk1Bhy7YKE1QqFwDi4+OJj4+/6X6Eu0xEBPz0050ehSD85YjAWxAE4Y9KSpQZb1DS\nTW7ByZMnyc3NJTo6GlmWSUlZQ0bGDr74YhqSdJnEvm3ZumMPmTk7KNi2ixOtDJR3iCPLUAD5N25b\nY2pKiF8QYav2EPhxEmXd8vnqZBXJydtIS8vg8uVS47kqlYqIiLbEx0eQEBtG9wkfo9qRBY/0wffF\nR2/qmgoLL2FnZw3Avn1HGTjwvxw+/BugIybGhzfeWASZ51E9/xKtw8P5toFNeAClNOKxY0rA5tr0\nbeIFQRD+ym5+euMGPv74Y0JCQrCxscHGxobOnTvzy+9bLdeaPHky7u7uWFhYEBsbS1ZWVnMOQRAE\n4datXAkVFdCli7Lpx03Iz88nJSUFUGaD9+7dyf/+N46ammMUl2zGL1iNQVPMvDVzmbrgQ37au5pz\nmlw2HdxDtq2KcnPTG7ZvaWZOp1bBPNrrPkYnPoKcZ8InZ8sok0G3PoPVz77Lzz9v5PLlUlq18mLU\nqCEsW/YOFy4ks23bfKZNG01MoBeq4hLwdIGPGl74VlpabnxcXFyCl1c/ysosMRi8aNt2ALa2ThQV\nWaJS2WJjY8/WrVtRde+u1BrfuRO+/hpOnlR297yeb75R6qF/8knj3mhBEIS7ULPOeHt6evL2228T\nEBCAwWBg3rx53HfffaSnpxMSEsJbb73F+++/z/z58wkMDGTKlCkkJCRw8OBBrKysmnMogiAITRcc\nDGPHKtuyN6CkpIT169eTmJiopF38toEnHhvOkS/f4Ww3P0q1+6nWXuKVL16htLwMAJs2GnYfzm7U\nUCSgpas7bbz88HRswdHMM6z7JZ23kheSnX3ceJ4WeBf4wtqS5PeeJ7ZXFJ6e15k5bukKu76FE7lg\ne23+bXV1NZIkoVarMRhkAgMHsXnzD3h6BqDT6YiMjObwYT0hIUp6yc6dO6/tw9ISunVTFtg9Wjuj\nvmABPPJI/WPatUu579ixUe+LIAjC3ahZA+/+/fvX+Xrq1KnMnj2b7du30759e2bMmMGECRMYOHAg\nAPPnz8fZ2ZmFCxcyYsSI5hyKIAhC0wUHw4cf1nuourqaFStWGDetqa7W8+CDD5CXl4GZWTVtzu6g\nx+XLfJ+2hM2ndRhkmQ73+hiD7sawMrcgyMuPQHdvLuWVszFtN1NmzCM9PYuamhrjeZaW5sTEdFLS\nR+4JRX7gZVocPsWjKgmuF3QbX2wObZWyh7IsYzAYUKvVAMTHj2by5Ofo3r0HYElsbAK7dhXg5dUN\ngKSkJKTGbJDz9dfK7bfflFt4eP3nLVkCO3YojxvxYUcQBOFuddtyvGtqali6dCkVFRV0796d48eP\nk5eXR8+ePY3nmJmZ0b17dzZv3iwCb0EQ/rJ++uknevXqhVarRaWSGTnyaTp0cMPb2w4bmzJGjRpM\nUdExWrRw4lBnf1pOiGOTk+WNUytqSYCTnQM6EzMcrG1wtWnB7u1H+G5GChs2ZFBWVmE818RETdeu\nHYiLCycuLoKoqHaYml71a3zWODh2Gv7Vt8F+ZVk2Bs9PPTWdzp3DePTRhwEdUVE92LHjHDExSv3y\nBQu+rrPwslFBN4C7u7JtOIDBAPW9TpZh9Gi4eBHs7a/dYlwQBOFvRJLlRvzPcBP27dtHdHQ0er0e\nc3NzvvvuOxITE9m8eTNdu3bl1KlTeFyVMzl8+HByc3NZs2aN8bni4mLj48OHDzfn8ARBEBq0Y8cO\nfH19sbe3R6WCxx77F88/P5zISH8kqYy5c5fTvXsIgYGextfoqyrZcmgfB3JPXLddE5UaB50NDlY2\nOOhscdTZoC+pJn3bAbZsyWTbtkwuXrxc5zUBAR5ERbUlOrotYWGtsLQ0v+XrmzdvNWVl1Ywa9Rg1\nNRYsWrSa7OzDvPzyy4Ayq9/UnShvlqqiAvdZs7DMyqIwLo48UV5QEIS7WEBAgPGxjY3NNceb/Tdr\nUFAQe/fupbi4mKVLl/Lggw+Smpp6w9c0evZEEAThNsjKysLa2hoPDw8kCZYv/56uXTsycGA3VKpS\nhgyJRpIKAGUTmCeeuDKjLMsyx86fYdOB3ZRX6q9p28rMnDC/NrjaOGBtYcWl4hK2bcvmh20b2LIl\nk1On8uqc7+pqbwy0IyPb4ORke8vXl7ZqC+lfrea/89/CYO6Aj08EX3zxDY89ptQP79v3PgYMUBvP\n/7OCbgCDmRk5L774p/UnCIJwJzX7jPcfJSQk4OHhwcSJE/Hz8yM9PZ1OnToZjycmJuLs7MxXX31l\nfO7qGe/6Pi0Ifw07anMyw8LC7vBIhBsR36drZWdno9frCQkJAeCll/6DVisx+X9PImkqWLEihcrK\nKoYMuXG96aKSS3yftoa9Rw9ec0wyyHTblkP8rDfZsfsIycnbSV67jf/LOEAh8HbteTY2VsTGhtG2\nbUuiotqQmBh3y5MRu3cfZNq0L1m8eCag48jgkcQtX8nJ++9HtXgxVVVVVFdXY25+67Pn/zTi5+nu\nIL5Pd4e/4/epoRj2tk9r1NTUYDAY8PHxwdXVlaSkJGPgXVFRwaZNm3j33Xdv9zAEQfgHO3nyJKdP\nn6ZLly7Iskxa2lq2bNnEvHlvIkmXGTCgHbt3H0Q1ZARcKGbA7JcgJPC67RlkmS37M/hp0zoq6pnl\ntjHX0WprHstzDDzs0Q+9vhKA14GXgBoJfJ4dSujQXoSGBmFiYmIsrdqUoDs/v5Bhw/7Hr7/OBazx\n8+vKmjVPUVrqgW7tWgKWryRDq0X12msAmJqaYmp647KFgiAIQvNr1sD7pZdeom/fvnh4eHD58mUW\nLlzI+vXrjfnbzz33HNOnTycoKIiAgACmTp2KTqdj2LBhzTkMQRDuRqWl8MYbMGwYtGlzS03l5+eT\nkZFBr169kGWZrKw9vPHGG6SlLUSSSujZ04vz5zNRqZSt1zt3bk/nNj7w/PtQXQMu9vW2W1ZRTvbJ\no2zau5OjuaeuOS4bZPZtOMHGn/djqDEYn+/YsRVvmmvpuXkvslqN+rtpPN3AbPqNGAwGevcey48/\nfoCZmRP29u5kZeVw5IgZgYHe6HSQuW8fVjNmwMSJygLOd96BoKAm9ykIgiDcumYNvPPy8nj44Yc5\nd+4cNjY2hISEsGbNGhISEgAYN24c5eXljB49msLCQqKiokhKSsLS0rI5hyEIwt0oNRWmTVNuRUVw\nE2lmJSUlrF27loEDByLLMgUF53jiieGcOLEJlaqUbt3sWbnSE0kqQJIk/Pw8mDTpD5WUVqyHyiqI\nDYPa7c8B8osusv/YIfYfP8zRMycxXCc77+yJi6Qs2s3Fc5fx9XUnLi6C+PgIYmPDcPrsB3j1U1Cp\nkL6ZAk0Iup96ahrjxw/H2zsA0FFaChs3FtGzZyQqlcT69Rvw8vIynt+yZUtYulT5oksXpXKIIAiC\ncEc1a+B9dZ729UyaNIlJkyY1Z7eCIPzZZBm2b4e1a2HCBFCrG35NQ3r2hA4dYPduJUj85pvrnlpd\nXc2iRYt4qLYChsGg55FHHuHcuR1YWNQQGKhnwIAu6PW5WFiYYWVlzscfj79x/1+uUNq6P54TuTns\nP3aIfccPkXfxwg1fVqmvZm/qcTyt3Xlzylji4sLx9b1qt8vCS/DpMqWU3oLX4MFejXo73nlnAV27\ndiQyMhywoqREzdq1OYwYkYgkSXzxxTxatGhhTE3x9/ev24BKBT/8AJ9+CuPGKV8LgiAId9Sft3Rd\nEIS/l6FD4fhxiI+HqKhbb0+jgcWLlZ0Lv/0W+vRR0k5qLVq0iP79+2Nubo4kGRg/fhwRES3x93dE\npyvnhReGcunSCaysnNBXVvHfVx5h34mD5F28QFVNNaDkT0tIyn1tKrUkSUgXipEsyyl6NIxMTlC6\ntHG7SpoZzBnSLZZPXuxYp851HXbWsH4O7MiCB3rWfw6wZs02zMw0tG7dHlnWUVys5qefMomK+heS\nJDF58nQsLS2NgXarVq0aHmBAALz3XqOuRRAEQbj9ROAtCLfbyZPw2WfKRiLW1nd6NLfuwgVwcIC+\nfWHmTFi5snkCb4DAQPjgA3jqKVY+8QSh/v64hYcD1cyc+QF2djUkJISiUpUzbtwwSstyOJ1fzNmC\nfDr19GdFejLnCvK5eLm4wa6u0bN2MaW+/Ian6bRWhLUJpmNgG7xcWjRuMaSfh3K7ym+/7ebEibMM\nG5aILFtSUqJl7dq9jBzZDkmSeOKJsZSUlBjbv7o2rCAIgnB3EoG3INxuffpAVhacPw+ff36nR3Pr\n7rlHycH+fUfClSth6tRbbjYtLQ1nZ2daP/EE/LKKRavXcGbxFzwZZo0klTNqVD8sLMo5mpvFlv27\nKLS+wFfrl95yvw2RAG9XDzoEtiHYJwAn2/oXXjbkyJEcUlN38MQTA5Flc8rLLZk16yeGDXsJSVIT\nFdULJyd/JEmZOff29m6+ixAEQRD+EkTgLQi3k8GgBN0Aq1ff2bE0hzNnlOuxtITHHlPyu/fsgdOn\nwcOjwZdfbceOHVRWVhIdHQ0YWLt2FbKsZ+rU0Uhzn+WR5AgqrSxQqUop11fg0daBDfu2kpdx45zr\n5qA11RDsE0CwbyCtvfywMLv5etcXLxazaFESI0cOQflVa8fEiXMZPvx/qFRmdOvmx+jR1UiS8mvY\n3t4ee/umBfWCIAjC3UEE3oJwO5WWwoAB8NNPUFAAFRVgZnanR9V0ycnKfUwM6HSQkADLl8OqVfDU\nUzd86YEDBzh+/Dj33nsvYGDXri2kpKQQZfE40rbtDOrmReb5AlSqEnCyodfQe8k5f5bvkley8+B+\nKqurGj1MSZJwtLbDRDal4OwljhzM4dSpPGTk2txuCTMzDb6+7vgHeODn54GTkx1qlRov1xb4tWiJ\n+iYXjFZVVTNnzjJGjRoCqNFoHBk/fhbDho3FxsYNf3+JiRMnU12tQquV0Gq1PPzwwzfVhyAIgnB3\nE4G3INxOOp0SmHbsqFS1yM0FX987PaqmW7tWua8tEcqTTyql6npeu2gwJyeHjRs3MnToUGTZQE7O\nIV5/fQq9evkjSSX06uVLWdlJVN8shfe+odN/HqbTu89RWV3FrkNZbNq3k5PnztxwOJIk4Whjh5uD\nEy52DlSW1HBwXw4bU3YzN2015eVXNrcxMVETFdWO+HilzF9ERDCmprf2K3Dx4iT69u2GhYU5KpUV\nb7/9LTExg2jTpgOWlmreffc9qqpMjXnaI0eOvKX+BEEQhLubCLwF4c+wbZtSteNuZjBcmfH+PfDu\n00e5AYWFhSxcuJBRo0YBMsWXcxkzdhQHypMoLi1GLavQOFfz1sK30Wq0mGm06AI0LMw+gdl9bTEL\nc6F8/a+kH9hHWcX1FziqVCra+7aiS7tOqKrUrE/NIPmbbaxbl86FC0V1zm3Xzp+4uHDi4iK4555Q\ndLpb2zNg06bd+Pt74OLiCGj45JPlWFn50Lv3QFQqDZMnv45abWNMH3mqgb8CCIIgCP8sIvAWhD/D\n3R50g5Iq4+0NWi20bk1VVRVvvfUWL7/8MpIEGk0V48eP4//uD2PXsa2kZGymVaQbFwoLMDFVU00N\n7WO9OVuQX7fd1g7KLe8I5F2/e1uDmk6WLpRYu7Hx591Mf/Ybjh49XeccDw8XEhIiiI+PpEePMFyv\n2gjnGoWXIOYpeDQRXngI6qlOcujQSUxNTfDxcUeWVcydu4qIiAhGjhyDJFkyatQLWFq6oFJpAXj8\n8ccb+WYKgiAI/0Qi8BYEoXGcnJjWrx/PjBiBDhmVqoK5cz9l0KAIWrd2RlKX8tjI3kyd/yaSqbK7\nY3jPRtSabqhbSwfsNp9g5PxULhpk2nElPrexsaJHj3Bj+khAQMvGlfcD+PoX2HsY1myG/yi51vn5\nhRQXl+Dv74ksw8KFKZSWVvPWW28iSTqGDh1Bfn4+KpUVAA888MAtX58gCILwzyECb0EAePVV6NwZ\nevdWFkIuWwbvv6/Uq/4HmzlzJn369MHX1wdZLmPt2lV07OhG796hqFQ1vPnmSFTqS/y6PZPUXdtQ\neVQ3S7+SrCL/6CWSl+0kP7cICWgFJAAr7K1Jfv4h4hIiCQtrfdOLIAFl581Pf6ACyB0Yg2/tU6tW\nbWXVqi0sXjwf0NG372OsWrUKlcoWoHZhqCAIgiA0jQi8BSElRalDrdEoOzHOnAnr1il5zLdSdeKZ\nZ8DHR1mAqNM133hvk8oqPR998gFe3h5ERkWhNYUtW1NAusDoUQORpBomTBiGh4cVklRDub4C84fD\nZAAAIABJREFUO18Lvkr9nnJ9Rb1tmmvNiO0YSbf2YSBJVFTqqdDrlftKPRUZWRT+lkG6hzMHT5/l\nVM45zhzL5+i+s9RUGZAkidDQIOLjI9B2DEQe/TYRFy8RYW0JkcE3fY2yLJObm4/74VOQfZyt9jb8\n98tVbHv6ecCKhARXkpKyUKmUFJWwsDDCwsJu5W0VBEEQBCMReAv/bOXlMGKE8viVV6BFC+jfXwm8\nV6xoeuCdnw+zZin50L9Xsqiqgg0b4MiRekvv6asq2HlwA+X6UhxtXHGydcPR1g2NibaJF3djNTXV\nfL7gU85eOIm9j4bjZw+yec1+qitr6HKiLQDVLoVsOp7G0Vl7jQsizfI1/Jq5gbyLF24YcPcIjaJ7\nSDjm2ivlEy3NzMnLK2Db+l0kJ28jOXk7OTl1E7t9fd359+MDiI+PJDY2DEdH2ysHNRoYPA7GfQQ9\nwiDYv8HrLCq6jK2t8sHn1Kk8wsMf5WxMZ9RA9NOjMNuwkepqezQaDe7uVixcuPAm30lBEARBaBwR\neAv/bFOmwNGj0LYtjB+vPNevHzz7LKxZA3q9EjzfrHXrlPtu3cC8dvOVsjKl7J5KBQ89BFZWxtMP\nntrDonWfUHDp2tWFdlaOONm1wMm2Bc62LXCydcPZrgUO1i6o1Y3/ETYYavhhxWI2p28kMNyNo7mZ\n7PntMCey8uj9WDgAgaEelF26Eky7etkpr5VlyvUV1w20f2ehryE2Jq5OwF1SUsaGDRkkJ28nOXk7\n+/YdqfMaR0dbY552XFw4vr432IhnUA8Y3h8O54C1Vb2n6PWVaDRKCT+9vgovr34cP74JW9sWeHq2\npW2bdpw5lENLlQrt0yPZOG16g++dIAiCIDQHEXgL/1y7d8M77yjVLD7//ErlER8faNcO9u2D9evr\nrVHdoD+W3QOwsYFOnSA9HX77DXr1olxfyvKN89iSufa6TRWWXKCw5AKHcvbWeV4lqTDTWKAx1aIx\n0WJae68x0Rqfyz2Vz6bk7cQOiOD7HR9wOOskm37K5AHnewDwau2Che7KjLSdsxV2zvUHtDdiodES\n+9Neuq8/ismxMaTvPGgMtLds2Ut1dY3xXHNzLd27hxoXRLZvH4BKpWp8Z7PGgcYUanO7ZVlGlmVj\nG2Fhj/Lttx8QHNwJU1MrevSIJzPzEt26hQCQmpamJHQfPgyenjd9rYIgCILQVCLwFv65Ll8Gd3e4\n7z6Iiqp7rH9/JfBeseLmA29ZvrLRTHx83WMxMUrgnZrKvgA7lqR8SnHpxSYN3yAbKNOXUKYvMT53\nubCc7b8eJO7BDgBculhG6prf8O2iQ5IkXL3siLiq0oiFTotXa2fj1w7WtthaWVNRpUdfWWnMya42\nXAmcr2ahNSM2NApnrRP2H27DvKKKJ30H8HnFlY1rVCoVERFtSUiIJD4+gujo9mi1t1Be0bzuzp9D\nh77M0KED6NevH6CjS5cepKfn0b69GwDLli27ttKJJEFgYNPHIAiCIAhNIAJv4Z+rWzfIzKz/2KOP\nKrPeTalicfgwnDoFjo7QoUPdY7GxXP7kQ5bpd7Hz5wPXvFRCor1fJBVV5eQXnaXwUj4y8nW7qtJX\ns3r+Dvo9GYkkSVjoNBzedZquA9qiNTfF2t6C+GGhyLISa6pN1PgEuxpfb21hRYCnN4GePgR6eOFg\nY3dtJ0vWUj3sZfTx4VQsmU6FXk/OmXPs3JnN1g2ZPPbaVM6dK+AZ4CMgrkLPpiBv4uLCiY+PJCam\nkzHH2qiySpm1boLXX/8ce3s7Ro58ArCiQ4fubNx4nAEDWgIwa9bHmJhc+dXW6PKCgiAIgnCbicBb\n+Gezuk5aRWBg02dEfXxg0yY4c0bJ564lyzIZbmq+n9CDUqtr88ad7dwZFj8G3xatjc9VVVdyoTiP\n/KIz5BedJe/iGV77z3v0eyKaSrkMU60JhXmXuXjuMg5u1qhN1PR/Khq1yZV+vdu4GB+ba80I8PBS\nAm1Pb1zsHBsOTNduw6RG5pCzI7P/N4fk5O0cOHCizimurg6YRrZFXrGB+7p25MENc2/cZuhDYGMF\ni6aDp+sNT12yZC2ZmceZNOkFQIe/fwSLFv3IqFE+SJLEc8+9iEaSIC0NYmLqBN2CIAiC8FfSbP9D\nvfHGGyxbtoxDhw6h1WqJiorijTfeoG3btnXOmzx5MnPnzqWwsJDIyEg+/vhj2rRp01zDEIQ7z9QU\nunSp81RRSQFLUj5l//F0+EPQrZJUxIcNolfE/Zia1E3BMDXRMPbpF5g48VViO8YBZXzhtJB7fKLo\ndW8kVdWVDAlPxN3TGVOtmsqqKiqrq6iqrkJfpdyfOp2DSlIR1SEMDyeXRuVT6/WVbNmyl+S12xi9\nYBVuwCNf/0JG7XErKwvuuSfUmD7Spo2vEsDnF2LmVM+s+dWO5EDmMSXwrmdnyfT0TL75Zg0ffPAy\noKNly05MmfI1kyd/iiRJDBw4lP797zd+YDAzMVEWxCYlwfLlymNBEARB+AtqtsB7/fr1jBkzhvDw\ncAwGAxMnTiQ+Pp6srCzs7JT/iN966y3ef/995s+fT2BgIFOmTCEhIYGDBw9idb2ZR0H4i5FlmR0H\nN7B5fxLFJQWYqE1Rq00wUZtiojKp+7XaBJVKTeaxdMory65py93Jh2Hxz+Dh5GMMJJ9++mkSE3uT\nmBgLlGJtLZGWtpDg4CFIEsyZMx4XF3s0piZoTE3o1jn0huO1VSk50S1d3K57jsFgYO/ew8YFkRs2\nZFBerscfmApcACy7hDC5NtCOiAjG1LSeXx8NBd0AKzcq9707g6kJubn5TJo0hzlzJiLLOjw8Qlmw\n4FnefXc+pqamhId7sHLlqiuBtlndHG9MTCA8XKlC88ADSkWZ6Ohr+33nHWXb+zFjwOMGlVMEQRAE\n4TZptsB7zZo1db7++uuvsbGxYfPmzSQmJiLLMjNmzGDChAkMHDgQgPnz5+Ps7MzChQsZ8XstZUG4\nXfLz4dNP4b//hT8Gb41UUVnO4pTZ7Dy44ZaGIklqEqMeJK7TQF57bQqOjg6MGfMYUIq7uzlpaT/Q\nt68HkgTTpv0bKysLfs8I8fNrnqDxxInc2kB7G+vWpXPhQlGd4+3a+dOvS3v2qdUEuDuzYcLjzdJv\n1YoNjAY+6d0FlcECB4dWLF26jtdfn4WLixtubhIpKSnGHSnVajXe3t43bvS11yA3F774Avr2VarG\nBAVdOV5ZCe++C+fPKzPiIvAWBEEQ7oDblgx56dIlDAaDcbb7+PHj5OXl0fOqChFmZmZ0796dzZs3\ni8BbuP2efx6+/VZZ+Di3gRzkq5WVwYUL5JhVM2/1u+QX5d5019VVNZiYKoHk6T2lOGm9iB/TE8gj\nIMCan39exTPPdEWSYOzY+zA1NTEG2q71pGM0ir4Seo7Bplcnivt1oaCgiNTUHcZZ7aNHT9c53cPD\nhYSECOLilHraTe63HlOmzGX06PuxV5thsnE3vwE73cKJkILQaiV++WU11ta2xlntjh073lwHkqR8\nqMrLg5UroVcv2LJF2RAJ4McflaA7OBg6d2626xIEQRCEm3HbAu9nn32Wjh07El37J99z584B4OLi\nUuc8Z2dncnOvH8js2LHjdg1RaCZ3w/fIevNmAr/9lhqtlqzERPSNHLP1tm34/uc/rHugK6s72WCQ\n6y+rdzVZltGXV2FmoeRrH92by4H0HAY82YVwv0iq7av44IP5HDiwAoDgYDvatXuQ7Oyspl9gPXRf\nrsJzQwbyvsM8+G0S+7NP0VqWOQdcBHQ6CyIjWxMV1Zbo6LZ4ebkaA9+LF89z8eL5Jve9atUWgoN9\n8fZ2R5YtSU7ehbm5J33dvPCzs+NdGxsKayR27twJgEajISvr1q9fNX48gSdPUmNpydEjRzDU/m5p\n9fbb6ICTffqQX9vnX9Xd8PMkiO/T3UJ8n+4Of6fvU0BAwA2P35bA+4UXXmDz5s1s2rSpUaW8RLkv\n4XZSlZXh9eabAOQ+9RT6m0gzKPRtybxh7dkbYgV/CLptLZyI8uuDWjIlP/88jpZm+D7/HNts7Jh0\nsYIPPnsVJD3tXHKZuPpThnXthYXWjBpPA1999ZKxnVuqaX2VmhoDWVkn2Lo1k70b97J450EAni68\nzL7Cy4xWqZghy2wO8Sf3pYdo29YHtfomNq65gYyMQ5iba2nd2huqTNm7ejdFa/bj8s57GAwSjz76\nJFZWVpT6+7N31SrciouptrVtsN2bZTAz4/CHH2IwN0eurW5idvw4uowMaszNKejdu9n7FARBEITG\navbA+/nnn2fJkiWkpqbWyct0dVVKhuXl5eFxVeCTl5dnPFafsLCw5h6i0Ex+/4TarN+j6mrIylJq\naDfXB7JRo+DsWejYEc/33sOzkeXmTpw7xLx9c7gY0qLO87JBxtMqmOcen6jsDpmbS/DgYM5/PgOT\nw/l4RbkxSS6lZ5fWmNdu9jJ8yABjzjIA5y7Aix/CxWL45aMmXZYsyxw5kmPM005J2UFR0WUApgCO\nwC5Lc1zuj2VOdFsebt8Wk87D6b7/OIQEQ2ufJvULcOzYaQoKigkLawuoWbkyk+PHcxg48D9IBSU8\nmzaUApWK0IAg0Onu7M/xtm0AqB95hNCYmDs3jgbclp8nodmJ79PdQXyf7g5/x+9TcXHxDY83z3RX\nrWeffZbFixeTkpJC4B9qIPv4+ODq6kpSUpLxuYqKCjZt2kRnkXMp/G7cOAgJgSlTmqe96mol71ej\nga++UipgNMAgG0jJWM6MpRO4eElJt8g9VoDBIKPVmPNwz2eZ+p+ZXCo6icFwAlfXQkJCfDm7YikA\n2l6RHD263Bh0A3WDblBK6S1NhjVblOC7kfLyCli4cA3//vcUvL37ERg4iFGj3mTZslSKii7j6+vO\niw/3ZoJW2ZymY9Is/vPig3Tp0g7zyGB4YgDU1MCLMxruTL6ycU9R0WV27sw2Pr1jx3EmTpyHLPsD\n7Rgw4HFCQqJQqcyRnJwI69yZXjU1V3bwvJNGj4ZDh+Dll+/0SARBEIR/uGab8R49ejTffPMNy5cv\nx8bGxpjTrdPpsLS0rN3o4jmmT59OUFAQAQEBTJ06FZ1Ox7Bhw5prGMLdTK+HDz5QHk+erCyCS0i4\ntTZNTOD775VZ9D/UlK9PSfklvk36iKTkNTi2sEFroQSwKYt280if1rz4zoc4O1gxZEgPTp/egaOj\nsv16aupnEDRYaSQhsuH0KXMziG4H6zOU28DY+sdTUsaGDRnGBZH79h2pc9zR0ZYePcKJj1cWRPr6\nesCeQ7DnMPi6Q+cQ5dp/9/pI+C4JfvkNft0CveopuwdUFxZzKHAwbXpFIy+YwuHDuTz66GQyM7cC\nOuLjfdi8+QQqlQ0ArVq1olWrK1vRk5ioVBZZtQoGDbrxe/FnaCDnThAEQRD+DM0WeM+ePRtJkoiL\ni6vz/OTJk5k4cSIA48aNo7y8nNGjR1NYWEhUVBRJSUlYWlo21zCEu5lWC8XFyuYz+/fDQw/Brl3g\n7n5r7UpSg0H3unXJXJbz2XkimeLSAnYkHya4sxd+7ZU0k14tHeh7vBoXqQwkDV988WrdBnLOwcGT\noLOEiODGjSs2TAm6U3cYA++qqmrS0zONgfaWLXuprr6SW25urqV791BjoB0SEnjthjghgbDrW7hU\nem2fzvbwynAYPxMmfVYn8M7NzadFCycALq7cTOcLRZw/mocJrQgN7Uhw8I/o9ZaYm2uxt9cyY8YN\nZs379lVmmFetAoOhzg6egiAIgvBP1WyBt8FgaNR5kyZNYtKkSc3VrfB3Y20Nu3fDvfdCcjI88wws\nW9bs3aSmpqLT6QgNDWXfsa28PP05NDroGOsPQKtOHkgqCXOtGQ8l9KP92FdunHN++jz4e0IbH6hv\nY5n6xIbB5DlUrNnMZx9+R3Lydtavz+Dy5SsBs0qlIjIymPj4COLjI4iObt+4xZhqNdhZ13/s2aGQ\nX0T5yP9DU1ODWq2murqG4OAH2LcvGTc3P5y2n+Ne4ExEV3xUOgCWLl3auOsCpWyfpyfk5MDOneDi\nAj/8oNTQ9vdvfDuCIAiC8Ddy28oJCkKTqdVKve2xY+H995ulyU2bNlFUVFS7mVM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8AAAg\nAElEQVTPc2TaPI4OCuT0cx5kb1rz6JO00NCzPpOX/xtbW+uC9/ExnD59gbi4K3Tq1BxVteTaNS0b\nNuygY8fhKIqGN998h1u3bhkCbQ8Pj2LtjxBCPC10Op3hL65CPA00Gg05OTmPfX6RBt7p6enUr1+f\nAQMG0L9//1zT8FOnTmXGjBksXbqUmjVr8umnn9KuXTvOnDmDrW3uDU+KzMmT+kwRWu3/gu6DB/V5\ni8uhjIwMw4z24sWL2bdvL19//V8gnSZNPFi27Gc0Gv3DjcOGdTWaaci1G2RhbP1Tn0Kvqjt0bgZn\nzjzylHN/XeT7DSu40a/hPyXqQ+sqKPhUrkpg7Xo871sbK4vi+RNUSkoqhw+foXXrRqiqhr//zmTc\nuK/p2HEIimJF165uODpWR1H0r1uVKlWoUqWAOb6FEEIYKanlJUKUhCf9eS7SwLtTp050+mfzj4ED\nBxod028ZPpOPPvqIl156CYClS5fi6urKihUrGDr0IWuDi8Lhw/rPAfqH3wgLg7lzYeVK6Nmz+K5b\nRO7evYupqX6otmzZwrRpU9myZTWQSnCwO8uWHUWjuQjACy8E0qVLY8O5987jerL+jYe7y+N3ZP5P\n+s//elmfheMh7tzJZGfkIbYe2o3WNhvy3lsGAAtTc+r51KS+Ty1qe/lgUQx/jdBqtZw4EUf9+r6o\nKqSkZNGz58dcvXoGU1NHmjXzp1u3c4B+zZaLi4vhZ1QIIYQQoqiU2Brv+Ph4EhMTad++vaHM0tKS\nkJAQ9u7dW7yBd3S0/vO9wNvfX/95+HAICSneDUkeg6qqhndU58+fp0uXLpw48SeQRlCQM6dOHUer\njcXMzJS6dT3444+vDOfmuSFM7EVoPECfyi96OTxqHXdert2E3/boUwEONk4VqNVqOXTolGHjmri/\nL9OyRz0cXGzybMrBxo76Pn7U96lFDY+qxbL27+bNWzg52aMoCllZd2ne/E3i4w/g5OSJl1cAffq8\nxu3bCs7Oppibw/jx44u8D0IIIYQQ9yuxwDshIQEANzfjdG+urq5cvXr1oecdvLej3xOoFRmJLXDG\nxobUgwehYUN8g4Jw+PNPknv14vznn0MZ+VNYZmYmvXr1Yu3aFVhb61CUdFJSrrFr1xLc3PRbeW/e\nPJ2zZ3NvLPMwTt9vodI/mUTuvPIeF5aNBdPCB7vm6ydjdew8KUkJXDx0hKioE+zbd4L9+09x+/Yd\nzMxNCO7qT7fuTfI8v7ZHNWp7eFPR3hFFUdCmZXCmAMtVCkJVVVRVNbzx6NRpDLNnj8Pb25+7d63o\n0KETmzZF4+en32Cnf//+xMfHEx8fXyTXLw+K4ndJFD8Zp/JBxqlgvLy8ylXmivJo586dtGnThh9/\n/JGe5eCv+E+D1NRUYmJi8jzm6+ub77llIqtJsa7/UlVMUlMBuOPnd++CXBg7Fv/evXGKjMR540Zu\nvPBC8fXhEcLDwxkxYgSVK9tjaXkHd3d7Tp/eQmBgLQB+/3065ub/ezilsNucJ7/WHq2DLZUmfof1\nsfO4LPqVpOEvFqqN69dT+PNEPPsOnCJq9moSEm4aHW/QrAZNu9bGxDJ33+ysrGlVpyEeFVwLdc3C\neO+9+XTt2pqQkNZotdY0b96G48dv4uGhn3X/4IMPiu3aQgghni0F/X84ryQT4tlWYoG3+z/LORIT\nE40eVEtMTDQcy0ujongAMi4ObtyggbOzcfncuTBoENXXr6f6uHEltjnJ999/T/369albtw6qmoq9\nvSkXLuylY8cXURRLduxYgL29TdG+IalTBxrWh9DhuC5Yj+vI18G36kOrp6amExl5mG3b/mTbtv3E\nxJw3Ou7i4khgoB+BQbWp8pwrxy/mPXMd8lwgXZu1wcKsaNduz5r1A9bW1gwe3B+wo02bK5w9e43h\nw/VLmZYvbyYP9Pzj3sxckfwuiWIj41Q+yDgVTnnZGKWwli9fbvT9woUL2bdvH0uWLDEqDw4OLslu\niRJiZ2f30H8Dbt26le+5JRZ4V69eHXd3d7Zs2ULDhvoMF5mZmezevZvPSyJf8YNBN8CAAXDnDvTr\nV6xB96VLl8jKyqJGjRrAXU6cOMjx47uZMuVfaDRaPvtsEDY2lobVLg4OxZThpW1j+L8h4OuZa513\nTs5d9u+PYdu2/Wzfvp/oI6dRFRUTUw2mpiZ4VHehUWBtGjWuQ4MGNfH0cuNcXBwH407mGXS7ODjR\nt11Xanh4FUnXd+w4QEzMecLC+qOq9lSqVJdvvvmBN9+cgKIohIWNMsqpKUG3EEKI4tK3b1+j77ds\n2cL+/ftzlT8oPT0dG5u8n38Sz4YiTyd49uxZQJ+78+LFixw5cgRnZ2c8PT159913mTx5MrVq1cLX\n15eJEydiZ2f3yB/UYqMo+gcsi8G9ByRVVeWXX9axZ88uvv/+PyhKGgMHtiAu7i8URQuAj08Jpqqb\n8C9D/06eOG94IHLnzkOYWWto2qUO9bp78vwreQfM10hg8/EEOJ538wrQskEQXZq2xvwJcrdeuHCV\n337bzfDhPVFVG2xtvfjyyy8IC5uGRqPQpUtPmjdvbwiwZQ2hEEKIsmTgwIGsXLmS06dPExYWxq5d\nuwgICCAiIoJjx47xxRdfEBkZydWrV7G1tSU0NJRp06bh6Wk8MXbr1i0mTpzImjVruHr1Ki4uLrRs\n2ZLp06dTuXLlPK+dk5ND3759+f3331m/fj1t27YtiVsWBVCkgfeBAwdo06YNoJ9xHD9+POPHj2fg\nwIF88803jBkzhoyMDEaMGEFycjJNmjRhy5YtT927v4MHDzJ27Cds3LgSSKZ37/ocPRqBoug3YalZ\n04uaNYtmJjiXnLvQbxyM7ANN6xsdunIlke3bDxiWjyQk3ADAwtqMxh38qN/cG43J488UuzpWoG+7\nbnhXLnzWlDt3Mlm7dgevvdYZMMHCwo1PPlnA4MFjsbCwpVGjmsyaNcdQ39raGmvr4t1YRwghhHgS\nOp2O9u3bExQUxOeff25I8btt2zZiY2MZOHAglStX5ty5cyxYsID9+/cTExNj2KsjPT2dli1bcuLE\nCQYNGkSjRo1ISkri999/5/z583kG3llZWfTo0YM//viDzZs306xZsxK9Z5G/Ig28W7VqhU6ny7fO\nvWD8aZKVlcW0adP45JNPgDvUrVuB6OgDJCT8SeXKLri42LF48diS6cyYWbByK/x5glsHvmPnniOG\nWe3Tpy8YVa1U2YXOvYOw87JAq2of+5KKotC6QRM6N22JuWnBZrlVVWX37iM0a/YciqLBxMSasLDP\nad36VSpX9sXdXcPMmbO4e1fB0lJBURSjVJRCCCFEWZeTk0PXrl1zLal96623GD16tFFZt27daNas\nGWvXruW1114DYPr06Rw7doyffvqJV155xVD3448/zvN6d+7coXv37kRHR7N161YCAwOL+I7EkyoT\nWU2KTUoKnDsHdetCQZciZGTod7Vs0SLfaunp6VhYWGBiYoKpqcqKFd/RqpU3zZvXwtISzp37GXv7\nYtyNMw85y37DbOYP3NVoGGZtyRK39kZvhOzsbGjZMoDQ0Mb4Pu9B9MUYriXfyDPotjS3wCz7LqY3\nUzEzM8O0mgempqaYmphgZmKKqYkpd+6kY2NhRcdmranqVumR/UtOvo2lpTlWVpaAhmHDpvLVV7MI\nCmqJubk1n346kYwMU8OOkQ9uwiSEEOLpVtzP56jqw3dPLi7D81jSem9GGyAtLY2srCx8fX1xdHQk\nOjraEHivXr2aunXrGgXdD3P79m06duzImTNniIiIoH79+o88R5S8pzvw3r4devSATp1g48ZH1791\nC5o0gYsX4cgRqFnzoVVfffVVBg3qzSuvNEOjucXMmSNxd7c2PCBZEkG3Tqfj2LGzbNu2n7PrdjJj\nz1HMgJE6HV+fjMPU1IRmzRoQGtqY0NDGBAb6k3T7Jj9HbmXTkV15tlnB3pHuzdvyvE8tlOf7wvFz\n8MMk6N0hV92TJ08CPDToVlUVrVaLqakpqgr9+4fz2muv0rNnb8CeN98cTkqKgkajX2oUFhZWJK+L\nEEIIURZoNBqqVauWqzw5OZkPP/yQ1atXk5ycbHTs/qwY58+fL/BOyqNHjyYjI4Po6Gjq1av3RP0W\nxefpDrzv7Vj5/PMFq+/gAI0awenT+ownO3eChX6/88OHD3P9+nXatWuDqt6gf/9Qdu36jVdf1e+C\n2aFD04Jd49ApiDoG3VpC1cLvmBkf/5dh6ciOHQdISkrBFP2zjjbABkdbLAZ25bd2QYSEBGBrq18H\nnXonnZ//2MKemOg83/FbZN6lfYMmtGrTDjNTU9hzRB90u1aAl9sUup8A48YtwM7Ogffffxewp3v3\n14mLu45Go9+2ftSoUY/VrhBCiKdTacxIFydzc/M8c3737NmTvXv38t5779GgQQPs7OwA6N27t9Ff\nqgvzF4AXX3yRH3/8kUmTJrFixYpC7/khSsbTHXgfPqz/fG+r+IKYPVsfcO/bh9q/P8oPP6AqCklJ\nfzN69CiOHfsRjUZHr14h9O7dsvB9+vZXmLsKwqZDAz/oFgLdW8LzfnnunpmUlEJExEHDA5FxcX8Z\nHff0dKNt28YkOjvgvfsIXbZ/SRcbK1RV5VrKDaKPniD2cjxnLsWTlZOdq30FaPp3Np3n7cC+wVVo\n+8866gVr9J/f7A7mBVu3vX79TvbujWHKlI8Ae5o2fYH587/igw/0D1u++eaQAr9MQgghRHmX1xuJ\n5ORktm/fzoQJExg3bpyhPDMzk5s3jTen8/Hx4fjxh6QRe0CXLl3o3Lkzr7/+OjY2Nnz99ddP1nlR\nLJ7ewFtV4dAh/deFCbydnGDDBq41a0bbVas4VMkZ0xmjadvWlaFDu3H3bhbm5maPvw6tbWO4eh02\n74PDZ/QfExbDt+EwoAt37mSy574HIg8fPmP0i+voaEebNo1o21a/fMTXt6qhLymptzhyKZbYyxc4\nczmeW2mp+XbFt0o1XgppRxXFEpbuhz8Ow+fL4IOB8Pm7ULs6vNbpoefHx//N2rWRfPXVJFTVnho1\nggkLm8WUKV+j0Wjo0KErHTp0fbzXSQghhChH8ooL8iozMdE/x/RgMoovvvgiV6Deo0cPJkyYwOrV\nq+nRo8cj+9C7d2/S09MZMmQItra2zJo1qzC3IErA0xt4//03XLumXz5SvXqBTomJicHHxwfL+v64\nrF2CU4ee7Ig9RkeSQaPhnXd6F64P6RlgY2Vc9mIr/UdmFuw4gG7dTu6u28mXp+JZ32YYe/YcJTs7\nx1A9QlFwtbfB3tEOByc7bO1sUG7cgv4vkGFmwrHzZ4i9HE/s5XgSk28UqFsuDk682KId9bxr/u8f\nhSXjodM78J+lMKwHuDnDx28YnZeWdocvvljB2LFvoqpWVKjgy8qVE5g1yxsbG1vq1KlGZGSk4c9b\n99ImCSGEEE+7vGa38yqzt7enVatWTJs2jezsbKpWrcru3buJjIzE2dnZ6Jz333+fNWvW0KdPH7Zs\n2UJAQAApKSls2rSJTz/9lJCQkFztDx48mLS0NEaNGoWtrS2TJk0q2hsVT+TpjYxSU6FDB7C3z3MJ\nR14+/vhDOnRoxvDhndG09+a3qCXYBdUt8PlGdh2CVz+EFRMhNMhQrKoqZ89eMsxoR0QcJCUlFaYu\nBfTvjgMCatG2bSDt2gXR8uX3UW6nw+10uJRApoUpMf5uHN66jpN/XUCrLXgaQDsrG9o0bErIc4H6\nddz36xgMX4yGzs3gvp0zv/tuA336dMTU1BxLS1fmzVtDnz5v4+NTGzOzO/z3vzMwMzM3BPB5PUQi\nhBBCPM0URck1u51X2T0rVqxg5MiRLFy4kJycHFq2bMmOHTsIDQ01Osfa2prIyEjCw8NZu3YtS5cu\nxc3NjZYtW1LzvgQQD15n5MiRpKam8n//93/Y2dnx4YcfFuHdiiehqGXwSYb7n+h1cHAotuscPnyY\n2NhYXn31ReAa+/btYOfO/Xz8wExvoZ2+AMFvQPJtGNWXxA8GGG1cc/lyolF1H58qhswjrVs3wtnZ\n8X8HD54kKyuLmJt/c/jmX5y8dY27av650u8xNzXD26Mqfp7VqOlZHY+K7mge8Sbi2LGzeHq64eho\nD5jSpMkAJk0Kp23bFwBTfv75Z4KCgvDw8ODgwYMANGrUqBAvjihpMk7lg4xT+SDjVDiZmZmys7B4\n6uT3c/2oGPbpnfF+BP2W7jmMGvUO3bp5YWVlRnBwXYKD6z5Zw4k30HV8G03ybY77VKHf1j85+sUK\noyouLo60bRtIaGgQbdsGUr26R65msnKyOXnhHIcTT3Liwlly7t595KU1ioKXuwc1PatT07M61dw9\ncs9sPyAt7Q7Z2TlUqOCAqsJnn31Lhw7teOONISiKLaNGfYilpQuKon/A8uWXXy7EiyGEEEIIIe55\npgLvzMxM2rZty8aNq7Gzy+S550yZOXMUqqoFCpa5g+vJcFcLlVwMRTk5d9m/P4adG/fy0uwfqZN2\nh/1A6/NXuANYWVkQEhJgWD5Sv75vnml+VFXl7JWL7I05REzcWbLv5uSq8yAXByfqVq9JTc9q+Hh4\nYfVP+sP8X4csLC319T799BssLGyZMGEcYE+fPkO5fv06Go09oH9QQwghhBBCPLmnPvBOT09Hp9Nh\na2uLuXkWVao4sWzZTN5+uycAPXu2K3hj8X9B+7dRba04veAjtuyLYdu2/ezceYi0tDu0Bt4H4oHw\ngFqM7tyM0NDGNGlSDwsL84c2q9VqOXLuFNujo7hyLeGR3XC2d6SBbx0a1KxDlYruj8ywop/d19dZ\nunQD27YdYunSuYA9XboM4Ntvv0OjcQVkRlsIIYQQorg89YH3Bx98QIUK1oSHD0ZR0pg/fxQODoXf\nVfLKlUT+2LCbVok3qHTuDpebDOJ94N6cdK1a1fAPbcwBtwrUa9eEjUGPXrKSmZ1FVMxhdh7ZT3Lq\nrXzrOtk50MC3DgE16+DpWqnA6QwPHTrFJ5/MZ+PGpYAdISG9mDx5BYriiaIohIS0IiSkVYHaEkII\nIYQQj++pC7yTkpLYt3AhL1TxQG0VQFjYC7z//hQ0ml4Axg8u5iMlJZWdOw8ZHog8c+YiAN7AXqA9\nsN3bg/NjBxPaLogqVdwK3MeUtNvsOrKfvcejycjOemg9R1t7nvetTUBNf7zcKhco2L5xI4WXXx7D\njh1LURR7atWqxN69w0lLc8Pe3p7q1d05efLk4+chF0IIIYQQj+WpC7wzMtLp/+kEzmbnUOGrcfgN\n7s4vv3zxyPOysrKJijpmSPN34MBJo+T2dnY2tGoVQGhoEGmuTrgO/owWcX/R4txlGNStQH3763oi\nEYf3cfBMTK7E+fcoQF3vmrRqEISPh9cjs5DodDq6d/83P/wwFWvrijg6enDp0g1OnlSpV68qNjZw\n8eJF7O3tDefcS94vhBBCCCFKzlMReA8bNoxx4z6mUiVzqlS5zWRHW9KvJeMc4PfQc3Q6HUePxhoC\n7T/+OExGxv9mn01NTQgOfp527YIIDW1MYKA/Zmb3vVz2NtDt35BzV79L5gMBcmZ2Fn/fuM7VpGtc\nTUrk8vUELvx95aH9MTMxpXHt+rQKCMLNyeWh9QDCwqYRFtabGjVqAXakpans3HmdF15ogkajEBGx\nkypVqhjqOzk55dueEEIIIYQofuUy8L5x4wYZGRl4eHigqjlYWNzliy/G8fnn70BqOsOuJYOZKfj7\nGJ0XH/+XIdDeseMASUkpRsfr1/clNLQxbdsGEhISgK2t9cM70bk5HPsBba1qJCXf4OoNfYCtD7Sv\nceN2ysPPvY+NlTUh9RvRvH4j7Kxt8qwzZcoSmjatT0hIM8CO1FQTtm69jK/viyiKwvz5i3B3d5dN\nbIQQQgghyrByGXh/9dVXxMbGsHhxOIpym48/7klW1j+POR49q/9crwY3UtPZseOgYZ12XNxfRu14\neroZZrTbtAnEzc35kdfWqSp/XU/g9KU4zlyMI37HSnK0j86x/aCKjhVoE9CEwNr1MTc1TmW4bNlv\nmJmZ0atXV1TVluxsWzZsOEXLlkNQFIVPPpmAlZWVIdCuXbt2oa8vhBBCCCFKVqkE3vPnz2f69Okk\nJCTg7+/PzJkzad68+UPrR0dHM2vWLJYsmQsk8/rrAYwevR2NRj+rfC9gzsjI5OKKTdQCfr74N69U\nbMf9G3M6OtrRpk0jQkP1wXaNGp4FesgwOfUWpy/Fc+ZSHGcux5Oeceex7927kidtGjbFz9MbC3N9\nwP3DD5s4cSKeTz/9N2DN3btOrF8fQa9eH6LRKAwe/DZ37twx9NXX1/exry+EEEIIIUpHiQfeK1eu\n5N133+XLL7+kefPmzJs3j06dOnHy5Ek8PT1z1dfpsqhZ05FffllHQkJfKld2wcOjAitXTkGr1XLo\n0Kl/tmPfz549RwnIyuYVYNeNW5iZm9G8+fOG7dgDAmoV6MHCzOwszl65qA+0L8WRmHyj0PepKAoV\nHStQ2cUVZxtHlBxTmjd+ngr2jqxfv4vw979m9epFgDXu7s8ze/avfPZZLRRFoWvXPjRo0MIQaN+/\nXlsIIYQQQpRPJR54z5gxg0GDBjF48GAAZs+ezaZNm/jyyy+ZPHlyrvqKchJbWx1HjnyPu3sFYmMv\nGtZpR0QcJCUl9b66ClkBtbgW2piw0Mb82Ox5rK0t8+1PWsYdrlxL4Mr1/31cT76Bmu9ZxuysbKjs\n4kolF1c8XNzQ3DUlYvMhxvTvj6rC4cPnGDjw/zhyZBs6nTX169ty9Og8FMUbRVEIDg5l7doAQ6Dt\n4uKCi0v+D1gKIYQQQojypUQD7+zsbKKjoxkzZoxRefv27dm7d2+e5yQmXjNap335cqLR8Zq1PGnT\nvSF1alWnrn8NKjg5YGZqipmpGddv38DsjhlmpqaYm5pxV3uXv5IS7wu0E0lJu12gvt+/+6OZYsqt\nS5kM7N8Nv6rVyU7X0rXruxw69BOqasn16+n8Z8pI/j16AopijZ9fLezt56AoVVAUhWrVKnD69GlD\nexYWFlSqVKmwL6cQQgghhChHSjTwTkpKQqvV4uZmvNmMq6srCQl5b5VeqVJHo+9dXBxp2zaQ0NAg\n2rYNxNrRgknffcnZW3Gc3RtX4L5kpGVhaWNuCH7jjv9N9br6zCA6rY49v5yk+Yv+/3yv8vXYTazZ\nPo1aXrVxd6qCg/1zfDllASYmlmhtTDh9+hJpadWwtbXFzU0hPHwCOp0NZmZm2NiYs3v3bsO1FUXB\nzMzsYV0TQgghRBn27bff8sYbbwAQGRmZ53NqNWrUIC4ujpYtWxIREVHSXRT/2Lt3L1u3buXdd9/F\nwcGhtLtT9rOaWFqa07ChH02b+tOkiT9+fp5oNBpUVSUj4xaXr+kfsDyx7yK1Az3RmGgA2P7jEVr1\nqIeJqX5N94qpO+g5uiWmZvrvl0zYwpBJnTAz178Em5cdYvBnHTG3MEVjouHkvov0H9QDnyp1cLOv\nznLzXVjcqcvNqw7cvHqHl19+maioOKyt9SkH161bZzSLHRwczNGjR0v0tSotBw8eLO0uiAKQcSof\nZJzKBxmngvHy8sLSMv8ln+WZlZUVK1asyBV479u3j7i4OCwtLWWn6FK2d+9eJkyYwKBBg4os8E5N\nTSUmJibPY49KgFGigbeLiwsmJiYkJhovF0lMTHzoUouoqC8xNzdj+/ZD1KypD7p1Oh2tWr3D5s3z\nyLlrBcDeX07gXa8SVjbmgH4Gu+kLtbG20wfad1KzyM7MMQTe9hWsycnSYmFhjoN1RRo0qcvzVVrj\n6V6dCtZuOI6pT0C1ttjY6HNrb9y4EXNzc0O/3n//faN+VqhQoQheISGEEEKUF506deKnn35i9uzZ\nmJr+L6RasWIFtWoVLKFDWZaenm6Ig8q7+7PclSq1hAUFBalDhw41KvP19VU//vhjw/cpKSmGD50u\nWtVqT6peXh5qbOweVatNUrXaVLVuXX/18OHDauLNv9SVOxaoXXqFqnM+elld+J/X1Lk/fqQOGPWi\nOvGbMHXidyPU8d8MUd+a9LI6Zv5r6hcrP1R/ilio7o3Zql5KPK/m3M0u6ZfgqXHgwAH1wIEDpd0N\n8QgyTuWDjFP5IONUOBkZGaXdhWKxZMkSVVEUdfXq1apGo1E3bNhgOHb37l3Vzc1NnThxolq3bl21\ndevWhmM6nU6dPXu2WrduXdXS0lJ1dXVVBw8erCYlJRm1v379erVLly5qlSpVVAsLC9XLy0t9//33\n1czMTKN6CQkJ6uDBgw313Nzc1E6dOqknTpww1FEURQ0PD891D15eXurAgQNz3dOOHTvUsLAw1dXV\nVVUUxXB8//79aqdOnVQHBwfVyspKbd68uRoREWHU5vjx41VFUdRTp06pr732murg4KC6uLgYYrxL\nly6p3bp1U+3t7VU3Nzd1+vTpufqVmZmphoeHqzVq1FAtLCxUDw8PddSoUeqdO3eM6imKog4bNkz9\n+eefVX9/f9XCwkL19/dXN23alKs/D37s2rVLVVVVPXTokNqpUye1YsWKqqWlperl5aX269fvkT+3\n+R2/P4bNS4kvNRk9ejT9+vWjcePGBAcHs2DBAhISEhg2bNhDzngORVEYMGAwd+86odHoc3bv2/en\n4V1Yz9b/omfzN8DODrKyIDkZejmW0B0JIYQQ4llUpUoVWrRowYoVK3jhhRcA2LZtG9euXaNPnz78\n8MMPRvXfeustvvnmGwYOHMg777zDpUuXmDNnDvv37+fAgQNYWFgA+jXkVlZWjBw5EgcHB6Kiovji\niy+4fPmyUZs9evQgJiaGsLAwqlevzrVr14iMjOTs2bPUqVPHUC+v5S6KouRZHhYWRoUKFRg3bhy3\nbt0CYNeuXXTo0IGAgADGjx+Pqakpy5Yto3379mzdupWWLVsatdGnTx9q167N1KlT+e2335gyZQoO\nDg589dVXhIaGMm3aNJYvX86YMWNo2LAhrVu3BvSz0i+99BKRkZEMHTqUOnXqcCKWwQcAABezSURB\nVPLkSebPn8+JEyfYvHmz0XWioqL49ddfGT58OLa2tsyePZtXXnmFS5cuUaFCBV555RXOnj3LDz/8\nwMyZMw0Z42rXrs3169dp164drq6ufPDBBzg5OXHp0iV+/fVX7ty5U3xLpPIN6YvJ/Pnz1WrVqqkW\nFhZqo0aN1D/++MPo+KPeLeTp6FFVBVX19i7i3oqHkZmf8kHGqXyQcSofZJwKp9Az3pD3R1HVLyL3\nZof//PNPdeHChaqNjY1hRrZfv35q06ZNVVVVVX9/f8OM9549e1RFUdTly5cbtbV7925VURR10aJF\nhrIHZ3dVVVUnT56sajQa9fLly6qqqmpycrKqKIr63//+N9++KoqiTpgwIVd5tWrV1EGDBuW6pyZN\nmqhardZQrtPpVD8/P7Vdu3ZG52dnZ6v+/v5qcHCwoezeDPObb75pKNNqtaqnp6eqKIo6efJkQ3lK\nSopqbW2tvv7664ay77//XtVoNGpkZKTRtb7//ntVURR1y5YtRvdlYWGhnj9/3lB27NgxVVEUde7c\nuYay6dOnq4qiqBcvXjRqc926daqiKOqhQ4fyeNXy9yQz3priCefz99ZbbxEfH09mZiYHDhzId9fK\nAjt8WP85IODJ2xJCCCGEKIBXX32VnJwc1q1bR0ZGBuvWreO1117LVW/VqlXY2trSvn17kpKSDB9+\nfn64uroaZT6xstI/v6bT6bh16xZJSUk0a9YMVVU5/E+8Y2Vlhbm5ORERESQnJxfZ/QwZMgSN5n/h\n4dGjR4mNjaVPnz5G/b516xahoaH8+eefZGZmGrXx5ptvGr7WaDQ0bNgQRVEMe7gAODg44OfnR3x8\nvNFrVLNmTerUqWN0rZCQEBRFyZUdpnXr1nh7exu+r1evHvb29kZtPoyjo35lxK+//srdu3cL+Oo8\nuTKf1aTAoqP1nyXwFkIIIcqnwj4AVwYemHNycqJDhw4sX74cjUZDRkYGvXr1ylUvNjaWtLS0XCmV\n77l+/brh65iYGMaMGcOuXbvIyMgwqndv+YeFhQVTp07lvffew83NjaCgIDp37ky/fv2eaMdrHx+f\nXP0GjILm+ymKwo0bN/Dw8DCUVa1a1aiOg4MDZmZmuLq6GpXb29sb3XdsbCxnzpyhYsWKeV7n/rp5\nXQf041GQNyItW7akR48eTJgwgRkzZtCyZUu6detG3759DRnrisPTF3g3aFC6/RBCCCHEM6Vv3770\n79+f27dv065duzx3n9bpdDg7O7Ny5co823BycgL0gXXr1q2xs7Nj8uTJ1KhRAysrK65cucLAgQPR\n6XSGc0aOHEn37t1Zv349W7du5bPPPmPy5Mls2LAh17rrBz1slvfebPv9/QaYOnUqDRs2zPOcB+83\nr2wuD0urqN735kmn0+Hv78+sWbPyrFu5cuVHXufBNvOzatUqDhw4wIYNG9i6dStDhw5lypQp7Nu3\nL8/gvyg8PYH3vHlw4AA0blzaPRFCCCHEM6R79+5YWFiwd+9eli5dmmcdHx8ftm3bRlBQUL4p+iIi\nIrhx4wZr166lRYsWhvKtW7fmWb9atWqMHDmSkSNH8tdff/H8888zadIkQ+Dt5ORESkqK0TnZ2dn8\n/fffBbq3ezPgtra2tGnTpkDnPK4aNWpw6NChIr3Oo/KoBwYGEhgYyIQJE9i0aROdO3dm8eLFfPzx\nx0XWh/uVyhrvYlG/PgweDJJPWwghhBAlyMrKii+//JLx48fz4osv5lmnd+/e6HQ6Pv3001zHtFqt\nITi+N4t7/8y2TqdjxowZRudkZGTkWobi4eFBxYoVDctRQB8479q1y6jeokWLjNrPT6NGjahRowYz\nZswgLS0t1/EHl388TEE2EurVqxeJiYl8+eWXuY5lZWXlef1Hufcm5+bNm0blKSkpuWbGG/yzauL+\n16+oPT0z3kIIIYQQpeT111/Ps/xecNeiRQtGjBjB9OnTOXbsGO3bt8fCwoJz586xZs0aPvvsM/r3\n70/z5s1xdnZmwIABhIWFYWpqyurVq0lPTzdq98yZM7Rp04aePXtSp04dLCws2LhxI6dPn+a///2v\nod6bb77JsGHD6NGjB6GhoRw9epQtW7bg4uJSoCUZiqLw9ddf07FjR+rUqcMbb7yBh4cHV69eNQT0\nO3bseGQ7D7vW/eWvv/46q1evZsSIEezatcvwQOmZM2f46aefWL16NSEhIYW6TmBgIAAfffQRffr0\nwdzcnLZt2/L9998zb948Xn75Zby9vcnIyGDJkiWYmprSo0ePR97P45LAWwghhBCikAoyg/tgruw5\nc+YQEBDAggULGDt2LKampnh5edGrVy/D8gonJyd+++03/v3vfzN+/Hjs7Ox45ZVXGDZsGPXr1ze0\nVbVqVV5//XW2b9/OihUrUBQFPz8/Q57we4YMGUJ8fDxff/01mzZtIiQkhK1bt9K2bdtc9/Cwe2rR\nogX79u3js88+Y/78+dy+fZtKlSoRGBholMHkYbnBC1quKApr165l5syZLF26lPXr12NlZYWPjw8j\nRoygXr16j3jFc99Dw4YNmTJlCvPnz+eNN95AVVUiIiJo1aoVBw8eZNWqVSQkJGBvb09AQADz5s0z\nBOvFQVELugK9BN0/xe/g4FCKPRH5OXjwIKD/M5Qou2ScygcZp/JBxqlwMjMzi28jEiFKSX4/14+K\nYZ+eNd5CCCGEEEKUYeU/8L54EapUgfv+rCKEEEIIIURZU/4D78OH4a+/oIBpcYQQQgghhCgN5T/w\nlo1zhBBCCCFEOfD0BN6yVbwQQgghhCjDyn/gffiw/rME3kIIIYQQogwr34H3jRv6td329uDtXdq9\nEUIIIYQQ4qHK9wY6zs6Qmgrx8aAp3+8hhBBCCCHE0638R6s2NlC3bmn3QgghhBBCiHyV/8BbCCGE\nEEKIcqDIAu9FixbRunVrHB0d0Wg0XLp0KVed5ORk+vXrh6OjI46OjvTv399oa00hhBBCCCGeVkUW\neGdkZNCxY0cmTJjw0Dp9+/blyJEjbN68mU2bNhEdHU2/fv2KqgtCCCGEEKXqwoULaDQali5daij7\n9ttvHzopKZ4tRfZw5ciRIwE4ePBgnsdPnTrF5s2b2bNnD0FBQQAsXLiQFi1aEBsbS82aNYuqK0II\nIYQQxebbb7/ljTfeyPPYCy+8gKIoKIqSbxsrVqzg+vXrhvhJPBtKLKtJVFQUtra2NG3a1FAWHByM\njY0NUVFREngLIYQQolyZMGECPj4+RmV+fn6sWbMGU9P8Q6wVK1Zw4sQJCbyfMSUWeCckJFCxYkWj\nMkVRcHV1JSEhoaS6IYQQQghRJDp06EDjxo0f+/xHzYo/joyMDKysrIq8XVE08g28x44dy+TJk/Nt\nYOfOnYSEhBRpp+73sKUrouyQMSofZJzKBxmn8kHGqWC8vLywtLQs7W6UqAsXLuDt7c2SJUsYMGBA\nnnVatWpFZGQkAJr79iHR6XQAqKrK3LlzWbRoEefOncPe3p6uXbsydepUnJ2dDfWrVatG7dq1ee+9\n9/j44485duwYH374IePHjy/GOxSpqanExMTkeczX1zffc/MNvEeNGkX//v3zbcDT0/MR3dNzd3fn\n+vXrRmWqqnLt2jXc3d0L1IYQQgghRFmRkpJCUlJSnsfym80eO3YsY8aM4cqVK8ycOTPX8bfeeotv\nvvmGgQMH8s4773Dp0iXmzJnD/v37OXDgABYWFoZrnDt3jldffZWhQ4cyZMgQqlatWjQ3J4pFvoG3\ns7Oz0TurJ9G0aVPS0tKIiooyrPOOiooiPT2d4ODgh57XqFGjIrm+KHr3ZnxkjMo2GafyQcapfJBx\nKpzMzMxC1X9n1ovF1BO92SPXFWl7HTt2NPpeURSOHTv2yPNCQ0OpXLkyKSkp9O3b1+jY3r17WbRo\nEcuWLeO1114zulaLFi347rvvGDJkCKCfwDx//jy//PILXbp0KYI7EgVhZ2f30H8DHpUmu8jWeCck\nJJCQkEBsbCwAJ06c4ObNm3h5eeHk5ETt2rXp2LEj//rXv1i0aBGqqvKvf/2Lrl27PnJaXgghhBCi\nrJkzZw61a9c2KnvSpTWrVq3C1taW9u3bG82m+/n54erqSkREhCHwBv3KAwm6y48iC7wXLFjAp59+\nCujf8d1Lp7NkyRLDcpUVK1YQFhZGhw4dAOjevTtz584tqi4IIYQQQpSYwMDAXA9XXrhw4YnajI2N\nJS0tDTc3tzyPP7hs19vb+4muJ0pWkQXe4eHhhIeH51vH0dGRZcuWFdUlhRBCCCGeKjqdDmdnZ1au\nXJnncScnJ6PvJYNJ+VJi6QSFEEIIIfJT1Guwy7KHPXzp4+PDtm3bCAoKwsbGpoR7JYpbkW0ZL4QQ\nQgghCsbGxobk5ORc5b1790an0xmW795Pq9WSkpJSEt0TxURmvIUQQgghSlhgYCCrVq3i3XffpXHj\nxmg0Gnr37k2LFi0YMWIE06dP59ixY7Rv3x4LCwvOnTvHmjVr+Oyzzx6Z6lmUXRJ4CyGEEEIUUmF3\nnXyw/vDhwzl+/DjLly9nzpw5gH62G/TZUgICAliwYAFjx47F1NQULy8vevXqRZs2bR67D6L0Kaqq\nqqXdiQfdnwPRwcGhFHsi8iP5bMsHGafyQcapfJBxKpzMzMxnbudK8fTL7+f6UTGsrPEWQgghhBCi\nBEjgLYQQQgghRAmQwFsIIYQQQogSIIG3EEIIIYQQJUACbyGEEEIIIUqABN5CCCGEEEKUAAm8hRBC\nCCGEKAESeAshhBCi2JTB7UKEeGxP+vMsgbcQQgghioW5uTmZmZlotdrS7ooQT0yr1ZKZmYm5uflj\ntyFbxgshhBCiWGg0GiwtLcnOziYnJ6fErpuamgqAnZ1diV1TFF55GydFUbC0tERRlMduQwJvIYQQ\nQhQbRVGwsLAo0WvGxMQA0KhRoxK9riicZ3GcZKmJEEIIIYQQJaBIAu/k5GTCwsKoXbs21tbWVK1a\nleHDh3Pz5s1c9fr164ejoyOOjo7079+fW7duFUUXhBBCCCGEKNOKJPC+evUqV69eZfr06cTExLB8\n+XIiIyPp06ePUb2+ffty5MgRNm/ezKZNm4iOjqZfv35F0QUhhBBCCCHKtCJZ4+3v78+aNWsM33t7\nezN9+nS6dOlCWloatra2nDp1is2bN7Nnzx6CgoIAWLhwIS1atCA2NpaaNWsWRVeEEEIIIYQok4pt\njfetW7ewsLDA2toagKioKGxtbWnatKmhTnBwMDY2NkRFRRVXN4QQQgghhCgTiiXwTklJYdy4cQwd\nOhSNRn+JhIQEKlasaFRPURRcXV1JSEgojm4IIYQQQghRZuS71GTs2LFMnjw53wZ27txJSEiI4fu0\ntDS6du2Kp6cn06ZNe+IOysOXZZevry8gY1TWyTiVDzJO5YOMU/kg41Q+PIvjlG/gPWrUKPr3759v\nA56enoav09LS6Ny5MxqNhg0bNhjt7OPu7s7169eNzlVVlWvXruHu7v44fRdCCCGEEKLcyDfwdnZ2\nxtnZuUANpaam0qlTJxRF4ffffzes7b6nadOmpKWlERUVZVjnHRUVRXp6OsHBwY/ZfSGEEEIIIcoH\nRVVV9UkbSU1NpX379qSmprJu3TpsbW0Nx5ydnTEzMwOgc+fOXLlyhUWLFqGqKkOHDsXb25v169c/\naReEEEIIIYQo04ok8N65cydt2rRBURTub05RFCIiIgxrwFNSUggLC+OXX34BoHv37sydOxd7e/sn\n7YIQQgghhBBlWpEE3kIIIYQQQoj8FVse7ycxf/58qlevjpWVFY0aNWL37t2l3aVnWmRkJN26daNK\nlSpoNBqWLl2aq054eDgeHh5YW1vTunVrTp48WQo9fXZNmTKFwMBAHBwccHV1pVu3bpw4cSJXPRmn\n0jVv3jyee+45HBwccHBwIDg4mI0bNxrVkTEqe6ZMmYJGoyEsLMyoXMaqdIWHh6PRaIw+KleunKuO\njFHp+/vvvxkwYACurq5YWVnh7+9PZGSkUZ1nZazKXOC9cuVK3n33XcaOHcuRI0cIDg6mU6dOXL58\nubS79sxKT0+nfv36zJo1CysrKxRFMTo+depUZsyYwdy5czlw4ACurq60a9eOtLS0Uurxs2fXrl28\n/fbbREVFsWPHDkxNTQkNDSU5OdlQR8ap9N1Ls3r48GEOHTpEmzZtePHFFzl69CggY1QW7du3j8WL\nF1O/fn2jf/tkrMqGWrVqkZCQYPg4fvy44ZiMUdmQkpJCs2bNUBSFjRs3cvr0aebOnYurq6uhzjM1\nVmoZ07hxY3Xo0KFGZb6+vupHH31USj0S97O1tVWXLl1q+F6n06nu7u7q5MmTDWUZGRmqnZ2dunDh\nwtLoolBVNS0tTTUxMVE3bNigqqqMU1lWoUIFddGiRTJGZVBKSorq4+Oj7ty5U23VqpUaFhamqqr8\nPpUV48ePV+vWrZvnMRmjsuOjjz5Smzdv/tDjz9pYlakZ7+zsbKKjo2nfvr1Refv27dm7d28p9Urk\nJz4+nsTERKMxs7S0JCQkRMasFN2+fRudToeTkxMg41QWabVafvzxRzIzMwkJCZExKoOGDh3Kq6++\nSsuWLY0SB8hYlR1xcXF4eHjg7e1Nnz59iI+PB2SMypJ169bRuHFjevXqhZubGw0aNGDevHmG48/a\nWJWpwDspKQmtVoubm5tRuWwrX3bdGxcZs7Jl5MiRNGjQwJAzX8ap7Dh+/Di2trZYWloydOhQVq1a\nhZ+fn4xRGbN48WLi4uKYOHEigNEyExmrsqFJkyYsXbqUzZs3s3jxYhISEggODubmzZsyRmVIXFwc\n8+fPp0aNGmzZsoWRI0fy4YcfGoLvZ22s8t1AR4gn8eBacFEyRo8ezd69e9m9e3eBxkDGqWTVqlWL\nY8eOcevWLX766Sd69+5NREREvufIGJWsM2fO8Mknn7B7925MTEwA/U7LagGSgMlYlZyOHTsavq5b\nty5NmzalevXqLF26lKCgoIeeJ2NUsnQ6HY0bN2bSpEkAPPfcc5w9e5Z58+YxYsSIfM99GseqTM14\nu7i4YGJiQmJiolF5YmIilSpVKqVeify4u7sD5Dlm946JkjNq1ChWrlzJjh07qFatmqFcxqnsMDMz\nw9vbmwYNGjB58mSaNGnCvHnzDP/GyRiVvqioKJKSkvD398fMzAwzMzMiIyOZP38+5ubmuLi4ADJW\nZY21tTX+/v6cO3dOfp/KkMqVK1OnTh2jslq1anHp0iXg2fv/qUwF3ubm5jRs2JAtW7YYlW/dulW2\nlS+jqlevjru7u9GYZWZmsnv3bhmzEjZy5EhD0F2zZk2jYzJOZZdWq0Wn08kYlSEvvfQSMTExHD16\nlKNHj3LkyBEaNWpEnz59OHLkCL6+vjJWZVBmZianTp2iUqVK8vtUhjRr1ozTp08blcXGxhomh561\nsTIJDw8PL+1O3M/e3p7x48dTuXJlrKysmDhxIrt372bJkiU4ODiUdveeSenp6Zw8eZKEhAS+/vpr\n6tWrh4ODAzk5OTg4OKDVavnPf/6Dn58fWq2W0aNHk5iYyKJFizA3Ny/t7j8TRowYwXfffcdPP/1E\nlSpVSEtLIy0tDUVRMDc3R1EUGacy4MMPP8TS0hKdTsfly5eZOXMmK1asYNq0afj4+MgYlRGWlpZU\nrFjR8OHq6sr333+Pl5cXAwYMkN+nMuK9994z/D7Fxsby9ttvExcXx8KFC+X/pjLEy8uLCRMmYGJi\nQqVKldi+fTtjx47lo48+IjAw8Nn7fSrlrCp5mj9/vlqtWjXVwsJCbdSokfrHH3+UdpeeaREREaqi\nKKqiKKpGozF8PWjQIEOd8PBwtVKlSqqlpaXaqlUr9cSJE6XY42fPg2Nz72PChAlG9WScStfAgQNV\nLy8v1cLCQnV1dVXbtWunbtmyxaiOjFHZdH86wXtkrEpX79691cqVK6vm5uaqh4eH2qNHD/XUqVNG\ndWSMyobffvtNfe6551RLS0vVz89PnTNnTq46z8pYyZbxQgghhBBClIAytcZbCCGEEEKIp5UE3kII\nIYQQQpQACbyFEEIIIYQoARJ4CyGEEEIIUQIk8BZCCCGEEKIESOAthBBCCCFECZDAWwghhBBCiBIg\ngbcQQgghhBAlQAJvIYQQQgghSsD/A6KQ4S8tYbOiAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3566,16 +3531,16 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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r1OheKFWN6hmErm2LYey39jWgj3U5RLWpP+mwqqr60Pj0uoNnior2NxheXFwH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jX06NEDgGnTpnHs2DFWrlxpssDdxx9/nOn57t+/T/v27Tl8+DARERHUqVMnh69IvChJvIXR66+/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\nOHCAr776ikOHDuHm5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5RlR1NwD3338NJpPZstixa9czd5Lcb2NNavcktjraU7r8LxYMG0NGRi7V1XXL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\n9u5otAzgCWF+sfRtfzOJYV2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WCiaTmXvvvZrt29da/t+MGXMnGRkZDZ5a0zSO3dGXmLQs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qRJTJo0qS4uLYCBnUbzwdK/l3Q8mXmY/Uf/IKpZhzqMSghxJxRF4URGKvF7f2bvkUT0his3PEet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\nf7+JklOYx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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3599,16 +3564,16 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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EnLUIenQiXFRE+MazsQ8xc9G96xbh2/AL8SfdDrhAbcW/eSEx2fkopXCmONFs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\nB9bVz8HevcrI7jRNoeshNm/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UsCsBHyrNjlG+GE3LAaCosIRPJ/3Am1N/xqcf/iDK7Y5i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\n", + "image/png": 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D7iT2HNiLEqqyNW03ADoH3UkmAZYaK1mpBeTtLyY/s4SCrBJKCytp2jSEhIQo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\niKolk454E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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3639,16 +3604,16 @@ }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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PT0+GDBnC66+/jq2tLRs2bCAtLc2s33PnztGuXTtefPFFatWqhb29PVu3buXs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\n", 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SYYoi6PA/v2HlGhG5keujCMvMBG9viIuDCxegShVUVeXqtEXsf/83fq8zmn12rTh2TCEj\nwzxZadM+haWrbqDRQGJCIi42LpT3KW9alEVYRmpqKvb29tYOQwiLuv+6zv57JnsO6+rqmqf9WexT\nZ9u2bWavV61ahaurK/v27aNz586oqsr8+fOZPHmyaZqelStX4u3tzZo1axgxYoSlQhFCCFEcHD8O\ncXGovr7oy1Vk2jsZrF2r4cqVMcAYOJn7ZuUrJzHug0NcS7bHxdbF2Kgio+NCCKvIt0+e27dvYzAY\nTKPi4eHhXL9+nfbt25v62Nvb06JFC/bt25dfYQghhChCVFUlIyMDvV5P+tatAKS1aMY7U1P46CMb\nrlx5+K81lxIGvlxsoJ1/Y+qVqUd1r+poUjXEx8dLMi6EsIp8+z5u/Pjx1KtXj+f+uXnm2rVrAJQq\nVcqsn7e3NzExMfkVhhBCiCJCVVX0ej3xd+OJTY5F5w6eTRtwsFI9Fs12fOi2lSsb8PMzsGiRQsWK\nLqCqKP8k36mpqQURvhBC5CpfkvGJEyeyb98+wsLC8jRhfV76HL7/zhsh7iPXiHgYuT6efhqNBhcX\nFxSdgjZTi6HDi9zo+CILX/chXX9vuXobG5WaNVOpVy+F//wniVq1buPmlsqRIy7cvHmHmzeh0nvv\nYR8RwbHhw1l+5gwjR46UayQfVKxYUWrGRZFz584dTp06laP98OHDVKtW7bH3Z/FkfMKECaxfv56d\nO3eaLQFbunRpAK5fv46Pj4+p/fr166b3hBBCiAcxGAwkJiai1WpNJSXHjjmw9ZcSZv0mT75M1663\ncmzfoMG9ecedTp/GPjqaaXPnsvPGDRwcHBgyZEj+noAQQuTCosn4+PHj+eGHH9i5c6fZlDsAlSpV\nonTp0oSEhNCgQQPA+NVgWFgY8+bNe+S+ZSYE8SAyW4Z4GLk+ii6DAe6/979ePZg+vRIaTaUHb5iY\nCNHRpCkKe27coEaNGvTs2VOukXwgJUCiKHJxcTH7vHjQbCp5ZbFkfMyYMaxevZrNmzfj6upqqhF3\ncXHByckJRVF44403mDVrFs888wzVqlXj/fffx8XFhX79+lkqDCGEEMXEmjXwxx/mbZ9+ChoNoKoQ\nHQ2XLsF9C6NcDw2lFPCnqlIvIIA5c+ZQooT56LoQQhQUiyXjixcvRlEU2rRpY9Y+ffp0pk2bBsCk\nSZNISUlhzJgxxMfH8+yzzxISEoKTk5OlwhBCCFEM3L0Lkyebt/XoAYGB/7xIToby5Y0rciYlga0t\nAJGRkSwfOZIgIMrTk5CQEC5evFigsQshRHYWS8YNBkOe+gUFBREUFGSpwwohhChuQkKYNyWFqKhu\npiadDj76KFsfZ2eoXNk4Mn7uHNSuTWRkJC1btmTiLWM9efu338bxn+l3hRDCWmRSVSGEEE+V6FW/\nMedIW7O211+HqlXv61injvHnn3+aEvFLly7xTYMGJJw8ieOwYQUTsBBCPIQk40IIIZ4qU35szF3u\nlTd6esLUqbl0/CcZv713rykRDwgIICQ0FLfatcHDo4AiFkKIB8u3RX+EEEIISzv801W+vdPDrG3G\nDHBzy6Vz7doAHFmxgkspKcZEPCTEtDK0EEIUBpKMCyGEKNRUVQUgM9PAGxPNF4nz9zcwcGA6qanG\nPoqiYGNjg1ar5aq3N3G2thyRRFwIUYhJmYoQQohCRVVVMjMzSU9PJy0tjdTUVG4n32b23GT2XjBf\nJO61Sef588YxjsYc5fjV48TcjkGv1xMREUGzIUOopdezThJxYWHffPMNGo0GjUZDWFhYrn2qVq2K\nRqOhVatWBRydyG7fvn0EBwc/0fzfBUWScSGEEIWGqqqkp6cTnxTPxZsXOXH1BPsj97Pg+wtMn+pi\n1rde43jq1E/Bw8EDXzdfanrXpLRzaa5fv07r1q3v1YhnT8QjIyEz0wpnJooiBwcH1qxZk6P9wIED\nXLp0CXt7exRFyWVLUVAkGRdCCCEek6qqKIqCs60zZV3KorlVkzlv1sNguJfUODqqfPu1E038/PH1\n8KWUaymcHZ25efMmbdq0yT0RV1WoXx9cXOD6dSudnShKOnbsyA8//EBGRoZZ+5o1a3jmmWeoUqWK\nlSKzjOTkZGuHYDFZ5W6FkSTjQgghCg1FUbC1tcXNyY0ybmWwzSzD8Fe8uXNHk62PytSpCrVq2WJr\na4tOp0Or1RIVFWU+a8r9pSkxMXDzJtjbg7e3Fc5OFDV9+/YlLi6O7du3m9oyMzNZv349/fv3z9Ff\nVVW++OILateujYODA6VKlWL48OHc+mfu+yz/+9//eOGFFyhfvjz29vb4+voyadIk0tLSzPpdv36d\n4cOHm/qVLl2aTp06cebMGVMfjUZDcHBwjlh8fX0ZMmSI6XVW6c3OnTt5/fXXKVWqFC4u976NOnTo\nEJ06dcLNzQ1HR0eaN2/Orl27zPY5ffp0NBoNZ8+eZcCAAbi5ueHl5cV7770HGBfd6tatG66urpQu\nXZp58+bliCstLY3g4GCqVauGvb09Pj4+TJw4kZSUFLN+Go2GUaNGsXnzZmrVqoW9vT21atUy+28x\nffp0Jk2aBEClSpVMpUV79uwB4OjRo3Tq1Alvb28cHBzw9fVl4MCBpKam5ogrP8kNnEIIIQoVRVHQ\narXo9dCnD9y/QOa8eQoTJ5q3ZZ9H/IE3ax4/bvxZty5I6YCwAB8fH5o3b86aNWvo3LkzADt27ODG\njRv07duX77//3qz/qFGjWL58OYMHD+b111/nypUrfPHFF/zxxx8cOnQIOzs7wJgYOzg4MH78eFxd\nXdm/fz+ffvopkZGRZvvs1asXp06dYty4cVSqVIkbN26wZ88ezp8/j7+/v6lfbqUyiqLk2j5u3DhK\nlizJf//7X1Npx+7du3n++eepX78+QUFB2NjYsGrVKtq3b09oaCiBpqVvjfr27UuNGjWYM2cOv/zy\nC7Nnz8bV1ZWvv/6atm3b8tFHH7F69WomTZpEgwYNTHX1qqrSo0cP9uzZw4gRI/D39+fMmTMsWrSI\n06dPmyXaAPv37+enn35i9OjRODs78/nnn9OzZ0+uXLlCyZIl6dmzJ+fPn+f7779n/vz5eHp6AlCj\nRg1iY2Np164d3t7evPPOO7i7u3PlyhV++ukn7t69i729fd4uAktQC6GEhATT49ChQ+qhQ4esHZIo\nxOQaEQ8j10chdveuqoaF5fqWwaCqr76qqsbaknuPoUON72V35coVtXLlyiqgBgQEqHFxceY72rpV\nVT/+WFVnzjTuZMIEs+3lGsk/KSkpj7fB/f/Bsx6W6m8hK1asUBVFUQ8ePKh++eWXqpOTk3r37l1V\nVVX1lVdeUZ977jlVVVW1Zs2aaqtWrVRVVdW9e/eqiqKoq1evNttXWFiYqiiK+tVXX5nasvaV3axZ\ns1SNRqNGRkaqqqqq8fHxqqIo6scff/zQWBVFUYODg3O0+/r6qkOGDMlxTs8++6yamZlpajcYDKqf\nn5/arl07s+31er1as2ZNtUmTJqa2oKAgVVEUdfjw4aa2zMxMtXz58qqiKOqsWbNM7QkJCaqjo6M6\nYMAAU9t3332najQadc+ePWbH+u6771RFUdSQkBCz87Kzs1MvXrxoajt58qSqKIq6YMECU9vcuXNV\nRVHUiIgIs31u3rxZVRRFPXLkSC7/ag93/3Wd/TMkew6bV1KmIoQQouAZDFC+PDRrBlev5nj7889h\n6VLzthYtVBYvNh/UfuSIuKLAoEHw5pvwv/8Z2+rWzYcTEsXVSy+9RHp6Ops3byYlJYXNmzfnWqKy\nfv16nJ2dad++PTdv3jQ9/Pz88Pb2ZufOnaa+Dg4OABgMBhITE7l58yZNmzZFVVWOHTtm6mNra8vO\nnTuJj4+32Pm8+uqraDT30sMTJ07w999/07dvX7O4ExMTadu2LQcPHsxR1jF8+HDTc41GQ4MGDVAU\nhWHZVr11dXXFz8+P8PBws3+j6tWr4+/vb3asFi1aoCiK2b8RQKtWrahcubLpde3atSlRooTZPh/E\n7Z/FCX766accNf8FTcpUhBBCFDyNBgICYPt22LUL+vbFYIC//1bZsUNl4kQFuJd1+1bIZMORKth0\nqor+l1/Q2tgQHR1Nq1atHl6aAsaVOHfsgLNnjTdvSjJeeD3uTXaF4KY8d3d3nn/+eVavXo1GoyEl\nJYU+ffrk6Pf333+TlJREqVKlct1PbGys6fmpU6eYNGkSu3fvzlErnVU6Ymdnx5w5c3jrrbcoVaoU\njRs3plOnTrzyyiv4+Pg88fncf9Pp33//DWCWSGenKAq3bt2iXLlyprYKFSqY9XF1dUWn0+F9370a\nJUqUMDvvv//+m3PnzuHl5ZXrcbL3ze04YPzvkZc/TgIDA+nVqxfBwcF88sknBAYG0rVrV/r164ej\no+Mjt7ckScaFEEJYxcU63Tiw3YNDH3hwZJGBEycU7twxT8IBnJwzWTz2//CaFEFyXAnCb57HNtmW\njh07PjoRB+NKnDt2wDvvwOTJ+X9iotjp168fAwcO5Pbt27Rr185Um5ydwWDAw8ODdevW5bqPrOs3\nMTGRVq1a4eLiwqxZs6hatSoODg5ERUUxePBgDAaDaZvx48fTrVs3fvzxR0JDQ5k5cyazZs3i559/\nzlHHfb8HjQZnjcpnjxtgzpw5NGjQINdt7j9frVabo8+DpnhUs/1BZTAYqFmzJp999lmufcuWLfvI\n49y/z4dZv349hw4d4ueffyY0NJQRI0Ywe/ZsDhw4kOsfBPlFknEhhBD5SlVV40Ovx6DVoqoqb76p\nsGDBKGAUnH7wthqNyluzzlArerdxXw0aYJNkQ4eOHQgPD8/bypq1axt//vmncUReCAvr1q0bdnZ2\n7Nu3j5UrV+bap0qVKuzYsYPGjRvj5OT0wH3t3LmTW7dusWnTJpo3b25qDw0NzbW/r68v48ePZ/z4\n8URHR1O3bl0++OADUzLu7u5OQkKC2TZ6vZ6ruZSHPShuAGdnZ1q3bp2nbZ5U1apVOXLkiEWP86h5\n3hs2bEjDhg0JDg5m27ZtdOrUiaVLlzJlyhSLxfAo8qkkhBAiX6iqalpB886VcAw1/bn5+Rw+XxbN\nggW6R26v0ajMmaPn3VerUeZsJAApz9Sic6fOeU/EwVimAnDy5L89JSFy5eDgwOLFiwkKCqJ79+65\n9nn55ZcxGAzMmDEjx3uZmZmmhDlrtDf7CLjBYOCTTz4x2yYlJSVHCUu5cuXw8vIyW+CmSpUq7N69\n26zfV199Zbb/hwkICKBq1ap88sknJCUl5Xj//tKRB8nL4kd9+vTh+vXrLF68OMd7aWlpuR7/UbL+\n8ImLizNrT0hIyDGCXq9ePYACXyBIRsaFEEJYXFYiHpsUy5WEy/gNmYjuUjhJK3fwQdSkB27n7q5S\nt66B+vVVatVSGDTI1vhL/MgRAPrPn8+lqKi8J+IA/v7Qvz/884tWiPwwYMCAXNuzEr7mzZszZswY\n5s6dy8mTJ2nfvj12dnZcuHCBjRs3MnPmTAYOHEizZs3w8PBg0KBBjBs3DhsbGzZs2JBjAZ5z587R\nunVrevfujb+/P3Z2dmzZsoWzZ8/y8ccfm/oNHz6ckSNH0qtXL9q2bcuJEycICQnB09MzT+UciqKw\nbNkyOnTogL+/P0OHDqVcuXLExMSYkvzffvvtkft50LGytw8YMIANGzYwZswYdu/ebbpp9dy5c/zw\nww9s2LCBFi1aPNZxGjZsCMDkyZPp27cvtra2tGnThu+++46FCxfy4osvUrlyZVJSUlixYgU2Njb0\n6tXrkedjSZKMCyGEyBc2NjZ4OnlS+vOl6MIOY/Dw5M3SP5Pwp62pj1arMmGCSsOGKgEBGipVUlCU\n++pA4+MxxMWRrCjseNxEHMDBAVavtuCZCZG3kd775/L+4osvqF+/PkuWLGHq1KnY2NhQsWJF+vTp\nYyrNcHd355dffuHNN98kKCgIFxcXevbsyciRI6mT9S0PxpsXBwwYwK+//sqaNWtQFAU/Pz/TPOZZ\nXn31VcLDw1m2bBnbtm2jRYsWhIaG0qZNmxzn8KBzat68OQcOHGDmzJksWrSI27dvU6ZMGRo2bGg2\nc8qD5i7Pa7uiKGzatIn58+ezcuVKfvzxRxwcHKhSpQpjxoyhdlbJ2UPcf5wGDRowe/ZsFi1axNCh\nQ1FVlZ30yGniAAAgAElEQVQ7d9KyZUsOHz7M+vXruXbtGiVKlKB+/fosXLjQlMAXFEXNa5V7Acr+\n9cD58+cB49ckQuTm8OHDgFwjIndyfVjZjh3Qvj0Aq946wcC55r9Mhw/POYXh/SIjI2kdGEh6eDhe\nj5uI54FcI/knNTW1YBdPEaIA3H9dZ/8MyZ7Durq65ml/UjMuhBAif6iqMdtWVaJe/4hxX5kn4o0b\nQy6loWay5hG/kE+JuBBCWJuUqQghhMgfqgpffYV69BjDfnuT7PdE2dvDypVg85DfQnla4l4IIZ5y\nkowLIYTIHxoNtG/PV+HtCblvVrYPPwQ/vwdvKom4EKK4kDIVIYQQ+ebSJeNK9NkFBsK4cdka0tLg\n669NjZKICyGKExkZF0IIkS8MBhg8GLLPyObsrPL11wYMBhVVNc56oNFqUd5+GxISiHn5ZVoOHGhK\nxENXrMDt9m1wc4M8zF4hhBBPG4uOjO/Zs4euXbvi4+ODRqPJsQrV4MGD0Wg0Zo8mTZpYMgQhhBBW\noqoqmZmZZGRkoNfr+fjjDH7/3bxP0MxE7N2vEpMQQ3R8NDfv3CQtIwP1n7mD5/foYTYi7rZyJfj6\nGutahBCiCLJoMp6cnEydOnX47LPPcHBwyHX+ynbt2nHt2jXTY8uWLZYMQQghRAFSVZX09HRSU1NJ\nvptM7O1YIuIi2H4gnP/+1/xXTEDzWGo9f5CzN88ScyeGJH0SCsZ5hhP+WZCnVmyseWnKH38YN842\nv7IQQhQlFi1T6dixIx07dgQwm3A+i6qq2Nra4u3tbcnDCiGEsIKsVTZvJN0g+nY0d/R3UFExZCpM\nG+ZPWtq9ZNzJOZOZM9MJKNsAR50jGo0GrVaLRqMhOjqaUV9/zS/A8zodL2zfbkzEMzNNK29SwItw\nCCFEQSnQmnFFUQgLC6NUqVK4ubkRGBjIBx98gJeXV0GGIYQQwkK0Wi2ejp64OxhvsNQoGhYv0nH8\ngq1Zv88/U2nXrJRpxb2sb04jIyNp1aoV4dHRJGi1lEpPh/h4KFkSzp41FpxXqAAyiCOEKKIKNBnv\n0KEDPXv2pFKlSoSHhzN16lRat27NkSNHsLW1ffQOhBBCFBqKoqDT6bDJNln4hQswbZp5ieKzz8KQ\nITY57r+8f9YU3eDBULEilClj7HDokPGnjIoLIYowRVVVNT927OLiwsKFCxk4cOAD+1y9epWKFSuy\nbt06evToYWrPvpTo+fPn8yM8IYQQFmYwwMiRfhw75mJqc3HUs/aHv/D2Tjfre+3aNUaOHEl0dDQ1\natRgwYIFlChRwqyPe0gIpVetIq5DB673718g5yAsq2LFivLttyhyYmNjiYiIyPW9atWqmZ67urrm\naX9WnWe8TJky+Pj4cOHCBWuGIYQQwgI2bPAyS8QBJrwZ9USJOEB8+/b8tWqVJOKi0Dp27BjNmzfH\nxcUFjUZD9+7d0WjMU6uWLVvSqlUrK0UongZWnWc8NjaW6OhoymR9JfkQAQEBBRCReBodPnwYkGtE\n5E6ujyeUkWEc6s5jCeGlS7BwoXlbR/f9TA9+DkWpbGqLjIykT58+REdHF5oFfeQayT+pqanWDiHf\nGAwG+vTpA8Ann3yCk5MTf/zxR64zyWVvS0lJYc6cObRq1YrAwMACjVlYhouLi9nnRfbPkOzVHXll\n0WQ8OTnZVFZiMBiIiIjg+PHjeHh4ULJkSYKCgujVqxelS5fm8uXLTJ48mVKlSpmVqAghhLCyu3fh\n5ZfByQm++864rP1DGAwwbJhxsywlXAx8td7drE5cVtYURUlMTAwXLlzgs88+49VXXwWgT58+fPTR\nR2b9VFU1S8aTk5OZMWMGGo1GknEBWLhM5dChQ9SvX5/69euTmppKUFAQ9evXJygoCK1Wy6lTp+jW\nrRt+fn4MHjyYGjVqsH//fpycnCwZhhBCiCdx44ZxOsHwcNi1C9auhYkT4RG3Fi1ZYuye3cefKJRr\n44fBYMBgMHDlypXHS8QzMv716QiRn27cuAFgVmKl1WrzPCGFpW/Z0+v1ZGZmWnSfomBYNBlv2bKl\n6YM3MzPT9Hz58uXY29uzbds2rl+/TlpaGpcvX2b58uWUK1fOkiEIIYR4Uv7+YG8PXl6webOxROWz\nzyCXkT6DwcClS5l8/nkmkyaZJxVt2mTS++UkEpMSSUxO5My5M3lPxOPioGlTqFz5kX8ECGEtgwcP\nNpUpDBkyBI1GQ6tWrZg+fXqOmvHsLl++bFprJTg42LQa+ZAhQ0x9rl69yvDhwyldujT29vb4+/uz\nZMkSs/3s2rULjUbDmjVrmD59OhUqVMDR0ZHo6Oh8OFuR36xaMy6EEKKQSE6GW7eMCbinJ7RuDatW\nGctV3n0Xg6cn+v4DOXBA5ZdfFLZs1XDmtDbHbhydMhg8ZR/7o1IAuBN7hwkDJhB1JYoGDRo8ekTc\n3d1YgH7tmvEPgdGj81y3LkRBGTlyJFWrVmXatGm89tprNG/enFKlSvH7778/dDtvb28WL17MqFGj\nePHFF3nxxRcBqFKlCmAcbX/22WdRVZWxY8fi7e3Njh07GD16NLdu3eK9994z29+sWbPQarVMmDAB\nVVWl0uApJcm4EEIIyJqmq0IFU424+tJLGK5exfDGW8x4X8uCtxQSEnQP3c2YSdE0eMYLFzsXEm8k\n8sKgF4i6EpX3GnFFgYAA+PlnmDABRo60xNmJp8T9c9FbmqW+bHn22WexsbFh2rRpPPfcc/Tr1w/g\nkcm4o6MjPXv2ZNSoUdSpU8e0XZapU6eSnp7On3/+iYeHBwAjRoxgxIgRzJo1i7Fjx5pNl5eUlMRf\nf/2Fg4ODZU5MWIVVpzYUQghRSPyTjBsqVECv15OamkrS3SRiB/ZhRIsTvH95MAkJDx+/6dM3laCh\nNlRxq0jGnQy6dulKeHj449+sWavWvef29k96RkI8VVRVZcOGDXTu3BlVVbl586bp0a5dO1JSUjh4\n8KDZNgMHDpREvAiQkXEhhCjmVFXFcOkSWuBuaU8u3viL22m3SUlP4bdfSvHNnv/kup1Wq9KocQad\nO6nUrg2dOtmg7T8R9X//Y5arK5euX3+yWVPefRf+/hsGDLDMCQrxFIiNjSUhIYFly5axbNmyHO8r\nikJsbKxZW1Z5i3i6STIuhBDFnMFgIDMlBVxLkFzGE62ixcPBg4gYB76YVtGsb4kSKh06GOjSReX5\n58HTU2s2j3L6H3+gS03lYGrqk09f6OoKGzda6vSEeCoYDAYA+vXrx9ChQ3Pt4+/vb/ZaRsWLBknG\nhRCimNNqtSgTJ5I5fjzuGRm4a7WkpCj0HmXD3bv3inh1OpXduxXq1s154yZA1OnT+Fy+TCrgUL8+\nW2UecfGYisMEOvcvCpTFy8sLFxcX0tPTad26dQFHJaxJasaFEEKg0WjQ6XTYOjhga2vLxIk6Tp82\nTxoWLFCoWxe4cyfHPOCRkZFMatcOgIuOjmzdsUMScSFy4ejoCEBcXJxZu1arpVevXmzevJmTJ0/m\n2O7+EhVRdMjIuBBCCDMrV8Ly5eZt/frBq68CH34IH3xgnPawe3fg3sqa3a5eBaBq797YSSIuhEn2\nBX4cHByoWbMma9eupXr16pQsWZLKlSvTqFEjPvzwQ3bt2sVzzz3Hq6++ir+/P/Hx8Rw/fpzNmzeT\nkpJixbMQ+UVGxoUQQpicPg2jRpm3+fnBl1/+M+2cvT0kJcHChYD5EvfVypZFdXbGrkmTgg9cCCu4\nv+Qk+/0TD2tbtmwZvr6+vPnmm/Tr18+0qI+XlxcHDx5k+PDhbN68mXHjxjF//nxu3LjBJ5988tBj\ni6eXolp6PVYLSExMND0/f/48gGmlKyHud/jwYUCuEZE7uT7yLikJGjWCv/661+bgoLJvn4Hatf9p\nSEhAU6ECyt27XP3tN5oNH26+sqarq7GE5SlaqEeukfyTmpqKvUxPKYqY+6/r7J8h2XPY7HPCP4yM\njAshRDGmqiqGW7dIP/MXrw1PN0vEAebMS6aM702uJV7jasJVritpZPbpA0BI9+45l7jXaJ6qRFwI\nIaxNasaFEKIYUVXVOJVhZqbxpyGTzPVr2Dt6C2vYata3bfdoqrc+xfFroKBQwq4EHo4eRHfvTsUV\nK+h++zYt6tVjs8yaIoQQT0yScSGEKCbS09PRp+tJTE0kITWBxLREkvRJVDpziI9506yvj28yb7xz\ng4quFSlhV4ISdiWw0doQExND6wkTWAZkurvz48qVuBXjRHzTpk1ERERw8OBBatSoQVBQkLVDEkI8\nZSQZF0KIYiAzM5OMjAwuxl3kbvpdAHQaHV6OXly/UJJfaWvW//tVNjSs549GozE9oqKiaNeuHZcu\nXeLdBg3YGhparBPxixcvkpCQwIQJE0hNTcXPz49q1arRr18/a4cmhHiKSM24EEIUA1nziFf3rE69\nsvWoV7YetUvXxr+UP8tPtDPrW6eOSrNmdtjZ2aHT6dBqtURFRZlmTQkICGBraKh5acrWrXDxYvFY\nteUfp06dMo2E29vb06hRI/bu3WvlqIQQTxsZGRdCiGJAURRsbGywsTH/2I+Nhe+umY+KT59uPmVa\n9ukLc13i/u5d6NLFOPfhnTtQTJbo7tSpE1u33quzj4qKIjAw0IoRCSGeRpKMCyFEMfbll5Cm2ple\n+/pC16733n9kIg5w4gQYDFC7drFJxAF0Oh21atUC4Pjx48TFxTFs2DCrxnT27FneeOMNpk6dSrNm\nzfK83ZYtW1i7di01atTg9OnTPP/887zyyium91NTU/n666+5ceMGGRkZnDhxgs6dOzN69Oj8OA0h\nihVJxoUQoihatw5KlYKWLR/YRa83rd1j8vrroNUan+cpEQc4etT4s0EDy8T+lElJSSEoKIjt27fj\nYKU/Rn7++Wc2btxIiRIlCAkJYcqUKXnedt++fQwaNIjz58/j5uZGcnIyzzzzDE5OTrz44osATJky\nhbCwMPbu3YtOp+Pw4cM0atSIO3fu8M477zx0/6qqygI1osjIj+V5pGZcCCGKmjNn4OWXoVWrh9Zw\nr18P167de+3sDEOHGp/nORG/cwfGjjU+/2eUuLh5//33WbBgAb6+vly4cMEqMXTp0oUVK1YwceLE\nx942ODiYHj164ObmBoCTkxP9+vVj5syZpj4Gg4GbN2+SkZEBgL+/PwB79ux56L5tbW1JTU0lMzPz\nseMSorDJzMwkNTUVWwuvpSAj40IIUdT8+uu95xcvQtWqObqoKnz6qXnb0KHg6voYiTgYM3gHB0hJ\ngWJYL71kyRK6dOmCTqcjOjqaHTt2UDWXf++C8rijdmlpaezcuZN58+aZtdeqVYu5c+dy69YtPDw8\nmD9/PvPnzze9f+7cOQCaNm360P1rNBrs7e3R6/Wkp6c/VmyFyZ07dwBwcXGxciTCmhRFwd7e3uLf\n9EgyLoQQRU2dOveeHz6cazK+d++96hIw3ns5btxjJuJZG547B2fPQhFZTl6v1zN79myWL19OZGSk\n2Xu2trZcu3YNNzc3wsLCGDt2LAaDwfT+hg0bCjrcfyU8PJyMjAxKlChh1p71Ojw8HA8PjxzbzZkz\nhw4dOvDWW2898hiKomBnZ/fIfoXZqVOnAONy50JYmiTjQghR1AQGwvTpxsfRo8aSlftkG+QE4IUX\nwM7uMRPxLOXLGx9FgF6vp2PHjtja2rJ27VoURWHIkCEEBgYyZcoUnJycTOUczZo1M5VtPK3i4uIA\nY2lKds7OzgDcunXLrH3RokVcvHiRtLQ0vv32W4t/XS9EcSTJuBBCFEHq0KHw0ksYqlZFzcgwjd6q\nqsrly/B//2cL3Puqtd9L0U+WiBcx06ZNIzk5mZCQELT/3Mk6ZswYVqxYQYUKFfL12IMGDeLGjRt5\n6uvl5cW33377r4+ZNdVl1rlm0ev1ADn+2MiaPWXv3r1Uq1aN9evX066d+Tz1QojHI8m4EEIUAQaD\nAYPBgKqq/P67yvTpZVEx8GLvZNp1jkexu4s+Q0+6IZ1P55bDYChn2rYOJ1j9TmcuxUQX60Q8MTGR\nzz//nA0bNpglp2lpaQVS77xy5cp8P8b9vL29AcxKbeBejXTWtwD3a9q0Kf7+/vTt25crV67g6OiY\nv4EKUYRZdDaVPXv20LVrV3x8fNBoNLl+sEyfPp1y5crh6OhIq1atOHPmjCVDEEKIYkFVVTIzM9Hr\n9aSmpnIn+Q4xCTEcOneJ7j00/P67lrDfdUwc50ajOj68NdGBfYdTiLl1h5/XlzLb1xvMZ18xT8QB\nfv/9dzIzM2nb1nwRpL1799KkSRMrRZW/ypYti6OjI9evXzdrzypPqV69OteuXaNcuXK89tprZn0q\nVqxIXFyc/B4X4l+y6Mh4cnIyderUYdCgQQwcODDH3aZz5szhk08+YeXKlVSvXp0ZM2bQrl07zp07\nZ6pPE0II8WCqqpKRkUFGRgYJqQnEpcQRnxJPcnoyd9PvsvITf+7cNv9oT0nSsW1dZbatq0zZsgaS\n7twbh/HiBi/wPQvr1+d///sfDg4OpKSkoNFosLGxyVG+UJSlpKTg6elpVgcdHR1NaGgof/zxR74f\n3xplKra2trRr1y5HQn3kyBHq1auHl5cXJ0+e5OrVq6b68izXr19Hp9Ph6+v7r+MQojizaDLesWNH\nOnbsCMDgwYPN3lNVlfnz5zN58mR69OgBGL+S8/b2Zs2aNYwYMcKSoQghRJGUmZlJwt0Ezt48y930\nuwAoKOg0OkpuiSTk244P3T4mxvwL0VEsJsEOZi2bzcW7F8lIykCraKnoVpFSLqWKVTIeGBhISkoK\ncXFxlCxZEr1ez7Bhw/jwww+pUaNGvh/fEmUqWeUmuc3rvXXrVgYOHMj3339vNvr/2muvMXDgQGbP\nnk2JEiW4efMmmzZtYsWKFQDUqVOH559/nmnTppm2iYiIICwsjIkTJ+Lp6fmv4xaiOCuwmvHw8HCu\nX79O+/btTW329va0aNGCffv2STIuhBB5oNFocLZ15j+l/kOGakycdRodiqLw9spMUgz2pr6uriq2\ntiqxsblXJCroGcVi1Pr+aB212NvY42bvhoejBw46B3Q6XUGdVqHg7e3N2rVrGTt2LNWqVSM6Opqx\nY8fSpUsXs35Xr15l/fr1XL58mQYNGqDX64mIiCA4OJi0tDQ+/PBDKlSoQHR0NIGBgTRv3hyDwcDi\nxYvx9PQkIiKCUaNGWXTO6r179/L5559z7NgxFEVh0KBBNG7cmP79+9O9e3dTv6xvVbLr0KEDH330\nEa+++ir/+c9/OHHiBJ9//jndunUz9Vm/fj2zZs3i9u3bKIrCpUuXWLhwIcOHD7fYOQhRXClqfqzr\niXFi/IULFzJw4EDAuNxus2bNuHLlCj4+PqZ+Q4cOJSYmhm3btpnaEhMTTc/Pnz+fH+EJIcRTTVEU\nUymgwWDg2lUdPbs+g5578zmPnnicD5e1ZevdtnzY4DOOH/RGVe+VD1Z1XMv+ah9B82dJenMSGRkZ\n6PV60tLSZMXEh9iyZQtt27alR48erFu3DmdnZ4YOHcrcuXOZM2cOvXr1olGjRqSmpjJkyBC+//57\n9u3bx4ULFxg4cCDz5s2jZ8+eVKpUydqnIoSwsGrVqpmeu7q65mmbQjGbiqVXMhJCiKJOVVWz1Ra/\n+czFLBEvVSaV3oNS0a23o3fiOv7z35c4llyO14Yf5PbtAJyd4/jyx6pc8/7WOFp686Y1TuOp1LJl\nS86ePUuDBg1M9zvFxsYSFRXFtWvXaNSoEWAcWIqNjQXA3d2dlStXcvz4cV5++WVJxIUQJgWWjJcu\nXRow3vCRfWT8+vXrpvceRla9Eg9y+PBhQK4RkbvicH2cPw+bd5pPTRccZEOTGg3QNn4OojbicfoS\n7y2ZxO3bxnnEp00LoXXr4jlryv2e5Bo5fPgw3bt3JyAggMuXL6OqKvHx8XTq1Mm0n2+//ZbWrVsT\nEBBAQEAALVu2ZOPGjcybN49Lly7ly7mI/FEcPkfEk8t+fWSv7sgri05t+DCVKlWidOnShISEmNpS\nU1MJCwsrslNGCSFEQQgOhkzDvY/zatVg2DAbdDodmn9Gabe+/77Zgj4vvCCJ+L9x4MAB/Pz8AFiy\nZAnTp0/H29vbNN92WloaS5cuZe7cuezevZsOHTpQvnx53njjDZo2bWrN0IUQhYzFpzbMqvE2GAxE\nRERw/PhxPDw8TB9Cs2bN4plnnqFatWq8//77uLi40K9fP0uGIYQQRcfp03DgAAweDLnMbHLqFKxZ\nY94WHAz/LKzIjQoV8Aaq375d7OcRt6QzZ85w9uxZzpw5g5eXFyNHjsRgMDB16lS++eYbLl68yKJF\ni6hSpQp2dnZ07NiRVatWcePGDaZOnWrt8IUQhYhFk/FDhw7RunVrwFgHHhQURFBQEIMHD2b58uVM\nmjSJlJQUxowZQ3x8PM8++ywhISE4OTlZMgwhhCg69uyByZMhPBzefz/H29OmQfbb8GvVgj59jM8j\nIyN54d13OQjYOTsTsn27JOIWEBUVhbe3d45FcDQaDbNmzcrR38fHh/HjxxdUeEKIp4xFk/GWLVvm\nWFL3flkJuhBCiDyoVg0SE+Gjj6BXL6hb1/TWkSPwf/9n3n3mTNBojIl4y5YtuRQRQcv69dmyY4d5\nIn7zJuzcCX5+UKdOAZ1M0bB//34aNmxo7TCEEEVEgdWMCyGEeAJt28KYMZCeDq+8Amlpprfur3YI\nCDDQoUMa58+fJzAwkEuXLlG/fn02/vRTzjmtjx6F3r3hjTcK4CSKjtOnT/Ppp59y9OhRLly4YO1w\nhBBFgCTjQghR2M2ZYxwhP3UKw9SppKen89tverItzwDA0DfCCT0aQss2LQkPD6d6req8t+g9bqm3\nciz0QkSE8WfFigVzDkVEzZo12bdvH6GhoVStWtXa4QghigBJxoUQohBTVZUMOzv0X3+NqtGgzJ/P\nga1HGDzMvCSwat0YrjusZljvYcRExlC9VnUWrl5IQJUAqpasmnM1zaxkvEKFAjoTIYQQuSkUi/4I\nIYQwZzAYSE9PR5+hJy4ljlu+zji/O5IwB3/eHF6LhFh7s/6jK3/D3De+JDY6ljp16/DTTz9RyqsU\nWq0WrVabc3E1GRkXQohCQZJxIYQoZDIyMkgN2cbdnzZyuVV94utUJy0jjSPVO/Hx+LYkJ9qZ9e/H\nd4QeWMjVmKs0aNCArVu34unpaZ6Ax8bC4cNQuzb4+EgyLoQQhYSUqQghRCFjMBhQN23Ae8k3lD94\nhjLOZbh1pi7zRnfMkYi/zPd8pBnOtpgYAgICCA0NxcvLK+dI+JtvQqdO8PPPxteBgdChA0jdsxBC\nWJUk40IIUcjodDqc9x8CwLPzS5zbX4ORr5Tn7l3zj+zB9Q+ymgH8Zkilbv16/Pjjj7i6uua+06xl\nvP9ZtpmZM2HrVhkZF0IIK5NkXAghCpsbN1DOnEF1cGD5X8/x8ss26PXmI90vDjxDv9OBaDFwslwp\n3lv0HnqdnszMzNz3eX8yLoQQolCQZFwIIQoBVVXJyMggLS2NtJDtAKz1fZ2RYx0wGMwT8WYDNrEz\ntBkX09JIUxS6rPyMptWbUtqlNFqtNvcD1K1rXA3o1ClIScnv0xFCCJFHkowLIYSVqKpKZmYmaWlp\nJN9NJjohmj+v/UnsL+tQgclXx5j1VzQGeoz7ifO7RhN/NZ7Q6lW5+cNaGjfthqeLJ3Z2dmg0D/hY\nd3SEmjUhMxNOnMj/kxNCCJEnMpuKEEJYQdbUhYkpicTciSH2biwxSTFE3okks50nmsyJRGwob+qv\n0RoY/95RNqwcw/Wo69SvX59FW7aYbtbMccNmbrp3N46QOzjk45kJIYR4HJKMCyFEAVNVlbS0NM7f\nOs+1pGuoqFxLvoZW0eLv4Y9jqQA++V99s23atU1m86reREZEEhAQwPbt2ylZsuTjHXjGDOPPX34x\njo63aQPlylnorIQQQjwJScaFEMIKFEXBzd4NBxvjKLWfhx+2WlvsbexJSrBjz3ZHs/4nTozm2rVw\nAgICCAkJwd3d/ckP/tlnEBpqnOZQkvF/ZdOmTURERHDw4EFq1KhBUFCQtUMSQjxlJBkXQogCpigK\ntra2lHUri6qqprasx8plCmlp98pObGwiuHbtO8sk4iAL/ljIxYsXSUhIYMKECaSmpuLn50e1atXo\n16+ftUMTQjxF5AZOIYSwAo1Gg42NDTqdDp1Oh42NzT/L1mtYutS8/jsjYzEBAQ0sk4irKly5Ynwu\nyfi/curUKdNIuL29PY0aNWLv3r1WjkoI8bSRZFwIIQqL9HT2hqn89ZdZI//5z3HLJOIAN25Aaiq4\nu4OLy7/fXzHWqVMntm7danodFRVFjRo1rBiREOJpJGUqQghRWKxZw1evOQC9TU3u7nvYufN7yyTi\nAEeOGH/Gx1tmf8WYTqejVq1aABw/fpy4uDiGDRtW4HFs2bKFtWvXUqNGDU6fPs3zzz/PK6+88q+3\nS09P54svviAqKoqIiAhiYmJ4/fXX6du3b36ejhDFjiTjQghRSMRt+4P1aR+btS1d2gh3dwuOYNep\nAz4+8NprlttnMZeSkkJQUBDbt2/HoYCnjdy3bx+DBg3i/PnzuLm5kZyczDPPPIOTkxMvvvjiv9ou\nODiYV155BT8/PwB+/vlnunbtys2bNxk3blyBnJ8QxYGUqQghRGGgqnyz1ZM07E1NFSpk0qOHhUtJ\nfHwgMhKmTrXsfoux999/nwULFuDr68uFCxcK9NjBwcH06NEDNzc3AJycnOjXrx8zZ878V9vduXOH\njz/+mE8//dS0TZcuXQgICGD69On5czJCFFOSjAshRCEQHbaXZYm9zdpee03LgxbUFIXDkiVL6NKl\nCzqdjujoaHbs2FFgx05LS2Pnzp2mUpkstWrV4sSJE9y6deuJt9NoNJQpU4Y7d+6Y9alcuTLx8fHE\nxsZa9mSEKMbkY14IIawsMjKSd16YzRlqmtq0WhgyxIpBFWN6vZ7g4GAqVqyIRqMxe9jb25OQkABA\nWDX58T8AACAASURBVFgYY8eOpWnTppQtW5by5cvj7e1dYHGGh4eTkZFBiRIlzNqzXoeHhz/xdk5O\nTly6dInvvvvOrM+FCxcoWbIkHh4eljoNIYo9qRkXQggrioyMpGXLljgnTjNr79oVypSxUlDFmF6v\np2PHjtja2rJ27VoURWHIkCEEBgYyZcoUnJycTKUdzZo1IyMjw2qxxsXFAcYSk+ycnZ0BHjgy/qTb\nnTx5kmPHjvHpp5+ika9shLAYScaFEMJKshLxS5fiUJQ+oN57b/hwA5mZKgaDAVVVzRYHypqjXFje\ntGnTSE5OJiQkBK1WC8CYMWNYsWIFFSpUyJdjDho0iBs3buSpr5eXF99++y2A6RrIijOLXq8HeOAf\nCk+yncFgYNy4cfTq1YvXX389T7EKIfKmwD/Np0////buPDrK6uAf+PeZZ/YlM5lJJpNlSFgSAiHs\nggQQbRGEFm1LkYoFUVu1FkV8W7diRUXcqvX1Vdza2kXFpfi2LgjokVUiEilFErZXAiHLhOzJhFky\nM/f3B78MTAMhJGEGJt/POZxD7nPvnTt6z8yXm/vcZxkeeeSRiDKHw4HKyspoD4WIKGZOBvFDcDqf\nwtGjp964GcLYCfWobPTA2+aFJ+BBW6gNIRGCRtbAaXYiQZ/QIUxRzzQ1NeH555/H3//+94j/tj6f\nD21tbeftdf/yl790q137lphQKBRR3r7Pu30Fvzfa3XfffcjJycGrr77arbES0ZnFZGklNzcXGzdu\nDP/MLxQi6ktODeKjR49Ba+tdEde/+6NSbDm6Cy3+FrS2taK1rRWyQkaeLQ8JmgQoJAUkSTpD79Rd\nW7ZsQTAYxNSpUyPKv/jiCxQUFPSo77feeguLFi3Czp07kZWV1aO+2qWlpUGv16O6ujqivH2bSU5O\nTq+0e+6552AymfDUU08BAMrKyuBwOKBWq3vlfRD1dTEJ47IsR/UmFyKiC4EQAocPH8Z3v/tdlJaW\nYvjI4Vh452u4c6EqXEehCAGjX8f6IydOq0jWJWOgZSD6JfRDuikdTrMTWo2We3bPA4/Hg6SkpIiQ\nWVFRgU8//RRfffVVj/qePXs2HnroodMG8e5uU1Gr1bjyyitRUlISUefrr7/GqFGjkJycfNo+zqXd\nW2+9BYVCgQcffDBc9vLLL3f4DTcRdV9MwvihQ4eQnp4OjUaD8ePHY8WKFejfv38shkJEdN6FQiEE\nAgEcPnIYV067EmWHy5A9LBsLHv0lHv2lM6Juv3H/hs3ug8OQg8yETDgMDqSZ0mA32KFWqaFUKhnE\nz5MpU6bA4/Ggvr4eVqsVfr8fN998M5544okeP+b+q6++wtixY097rbvbVADg1ltvxYIFC/D4448j\nISEBtbW1eP/99/H666+H63zyySdYsGABVq1aFV7170q7devW4b//+7/xox/9CE888QSAE/+g3LVr\nF+9ZIOpFkmi/KyhK1q5dC7fbjdzcXFRXV2P58uXYt28fiouLYbVaAZzYt9fu4MGD0RweEVGvMplM\nUGlUKD5cjFvm3wJXuQspg1IwbvF4/Otvv0L5V5Mj6t/11AZMm+5FgioBiepE6BQ6eDweeL3eDnt8\nqfd9+eWX+Oijj+B0OlFTU4MpU6Zg8uTI/0derxdr1qzBjh078Oijj+Lbb7/Fk08+iT/96U9obm7G\nqlWrkJmZiUOHDmHevHmwWCz44x//CIvFgtmzZ/f6mD/88ENs27YNOTk5OHDgACZPnoyZM2eGr3/x\nxRd48MEHsXz58ojtNp21a2xsxDXXXAOv14v/jAlTpkzB008/3evvgygeZGdnh/9uNpu71CbqYfw/\nHT9+HP3798d9992HJUuWAGAYJ6KLn0KhgMViQXOwGTu/3Yl7broHdVV1sGRZMP2B6ajaPhub/zgn\nos3Ma2rxzDN10Moa+Hw++Hy+8AkXdOH47LPPMGXKFPzkJz/Bm2++CVmWsWTJEjz//PP4+c9/jt/+\n9rfIzMzEe++9Fz6DfNGiRViyZAkGDhwY6+ET0XnUnTAe898z6fV65OXlnfURwmf69R5RUVERAM4R\nOr1YzY+2tjZUNFZgz549eODnD6Cuqg4D8wbiiT8+gWNlA7D4ryMj6ufkhPDWX8wwmayQJIk3aEbR\nuc6R3NxcFBcXY+TIkZg0aRIAYMGCBaiuroYQAsFgEP/6178wZ84cjB07Fm1tbaisrMTcuXPP23ug\n84vfM9SZU+fHqQvKXRXzMO71erF371585zvfifVQiIh6jSzL8NX7sPSmpagur8aIkSPw93/8HUrh\nwOQf6xFoO7nv26Rrw+rVAhpNCD5fIBzGZVnm3twLkNFoxJo1azBr1iwAQHNzMxITE7Fv3z5Mnz4d\n1157bUT9HTt2YOTIkfB4PNDpdLEYMhFdwKJ+F9CvfvUrbN68GaWlpdi+fTt+/OMfw+Px4IYbboj2\nUIiIzpuKigrMnDkTRw4fwejRo/HBBx9AZzDihpsUKC+P/Oh95NkK+BP2YGflTmwv344d5Tuw27Ub\nrd5W7hO/QNXV1SEtLQ0A8MEHH+Dqq69Gbm4uVKqTJ+Ps3LkTBw4cwPbt2zFx4kS88847sRouEV3A\nor7kUlFRgeuuuw61tbVITk7GhAkT8OWXX8LpdJ69MRFRL2jfStAedNufaqlQ9Pz8biEESktLMXXq\nVJSWliJ/ZD6e+/NzqA3V4rUVqdi8QR9Rf+6IDxAYegAff+tBa6AV3oAXgxMHY2jS0B6Ng86vG2+8\nEa+//jqOHTuGwYMHw2AwYNasWdi2bRv++te/QgiB1NRUjB49GtXV1XjzzTcxfPjwWA+biC5AUQ/j\nq1ativZLEhEBOBGU29raEAgEUHO8Bk3eJoRECGpZjRRjCgxqA5RKJWRZPudQ3n58YenhUkybNg1l\nR8owJH8Ifv/67+FX+7H2Y4FXnnNEtMmwFyF068soqXNAqVRCr9RjeNJwDEochPyUfBi0Bh5jeIEa\nM2YMxowZ06H88ccf71A2efLkDieyEBG142ZEIuoTQqEQfD4fypvLUdFcgfKWclS6KxEQARhVRvQ3\n94fD6EB/S38k6BKgUqm6FMiDwSACgQA8fg+K9hXhhtk3oPJoJXLycjF38VN48aUk7NhkR/n+1Ih2\nSlMdBj3wHDR2GwwqA3KsOcix5iDTnAmn2QmNWsP94kREfQA/6Yko7imVSnh9XhyoPYCS2hLsqtmF\nJl/kHe976/ciKyELo72jkW/Ph9Vg7TSQh0IhtLW1odXXirKmMuw7tA9LfvpruMrHwmS5Hi7X97Ds\nZ4bTD0gKYswvn8HwgTbkJechy5KFVEMqnGYn9Bo9H+xDRNSHMIwTUVyTZRlmixklx0pQXFuM7VXb\nERTBDvVCIoRDTYfQ4m9BIBRAvj0fdpM94tHowImtLoFAAF6/F2VNZShvLkd5eTmWLlwGX8UqAJPQ\n0tj5mC697lP87JpcDLT1Q5opDammVKiVaqhUKoZwIqI+hmGciOKWEAIJCQmo8lRhf+t+bK/aDoHO\nn3NW46nBpqObIEHCONU4mGUzZFkGcGJLit/vh6vFhdLGUpQ2lSLYEMTymx7EFRULsQqTOu273xAX\nfjCvEtdfb4PDNBRJhiSolCrIsswQTkTURzGME1HcCgQC8MKLIy1H8HXN12cN4u0afA3YXbsbFq0F\nI1QjoNFoEAwG4fa6sb92Pw41HsLumt1wCid+f9PDeKJSh5/jtx36UWm9GDq+ApdPcGHKLAUuOXYY\nuhIXDAkLoDSbu3WjKBERxReGcSKKS6FQCD6/D2WtZSg8Wog2dds5tf+28VukG9Jh09uQbkpHo7cR\nJTUn9psfbDgIT60Ha5b+Ce9W1uAR/C+O4+T+cEOCF0ue2IHJk0NIk1TInfETBI5MgqqiEvLmzYA6\nCPzqV739lomI6CLEME5EcSkQCKCsqQwlNSUoby5HclLyOfdRVF2EIbYhqAhVYH/9fhRWFqLWWwt3\njRsf/uZDrHa1oALfxz/xg4h2i++rwqyrNAiJEIKbtwLHqqFd9TYAQGi1kG68sVfeIxERXfwYxoko\n7oRCIfjafKhoqcAu165u95OkS4In4MGRpiPYXLEZxwPHw0G8xdWC+9PTUFXzIuA/2SZneB0unVWC\nw82tONBwAOW2cqQ8+wMsemEHkvcehli4EJLN1gvvkoiI4gHDOBHFnUAggKqWKpQ2laLV39rtfjJM\nGahsqcSe2j1o8jbB2+DFx7/5GC2uFqQNToNl1Pv4+u1+4foKhcC8e7bgy6odqPXWhsuPOW346q3f\nY/IxDYxTvtOj90ZERPGFt+8TUVwRQiAQDKCypRLfNn7bo758QR+UshL5yfmYaJqIDQ9tQLOrGTnD\ncnDvstex6e+XRNQfNmsDKhM+iQjiAJBuSkeSJRXqy66AQqPp0ZiIiCi+MIwTUVwJBoOoP16PKncV\nGn1nOfD7LPbU7kGDtwFGjxGP/uxRuMpdGDp8KO5f+QBe/N0QBAInP0L11kaMvu6fHfrQylqMTB6J\nTHMmn6hJREQd8JuBiOJKKBRCnacOR91He9yXXqlHsDGIhTctRHV5NTIGZ+CS+y7B3/7ZhgNfOyPq\nTrj5Paj13ogyBRQY5xiHQdZBSNQnhs8rJyIiascwTkRxQwhxYmXcUw9Xq6tHfaUaUpEVysK9N96L\nY+XHYO5vxsyb8rD43g2YVPO7iLrpI0owYFJRhz5GpYzCYNtgZFoyoVareaY4ERF1wDBORHEjFAqh\nxdeCOk8dWtu6f+PmAPMAONocuGfhPThWcQzaflpkLsrE8H3VeOXo3WhAUriuQtmGibetwqk5W4KE\nkfaRGJY0DLnJudBoNAziRER0WgzjRBQ32reoVLmrut3HMNswmDwm3HPDySDuXOREQBOAs0jCXbg9\nov7I2etgST8W/lmWZIxPHY+htqEYkjwEOo2Oj7onIqIzYhgnorgRDAbR4GmA63j3tqiMSRkDZbMS\n9yy8BzUVNeEgLutlIBRESfH3EIAqXF9rrUXWtI8RDAUhQYJWpcWktEnITcpFti0bGrWG+8SJiKhT\nXK4horgghEAoFILb70aDt+Gc2+dac6FqVuG+hfd1DOIA8sv8eNs/P6LNwOkfo01TgbrjdZAhY0r6\nFAy3D8fgpMHQarQM4kREdFYM40QUF4QQON52HM3+ZgRF8JzaphnSYPVace/Ce08bxI1KIwYUD8e/\nMfJkIykIafibONx8GEm6JFze73IMtAyEM8EJtVrNrSlERNQl3KZCRHGhfVW8ydd0Tu10Sh2cIedp\nt6YooECyLhk6pQ5vBH4a0c4w5AuYkty4asCPMcgyCAmaBDT7m1HrqUW6Jp1hnIiIuoRhnIjiQigU\nQmtb6zk/6Cc9mI4Hbnkg4mZNWS9DrVAjRZ8CAGjx+FCx7YqIdmOvKsaC4T+DRWuBrJCx3bUdEiTM\nVM1EakJqr70vIiKKbwzjRBQXhBBo9bee08q4t86LZ3/7LKrLq6HP1CP9l+mQ9TJ0Sh1SdCloC7XB\n3ebGvsLBCLXawu20Ri9unGNFstGEcnc5vqn5Bv6QH3qlHsfbjiMUCp2Pt0hERHGIYZyI4oIQAt6A\nF+42d5fqu2vcWPvgWtRX1iMtJw2Gnxkg62XolXrY9Xb4A37UemtxtPkoPEW/jWh72YxK6HUKbKvc\nhhpPTbjcG/DCH/SHx8OzxYmI6Gy4qZGILnpCCAgh4A/64Qv4zlrfXePGh7/5EPWV9RiYNxBXLbuq\nQxCvPl6NYCiIydYfIbBvekT75Akf49PDn0YEcQBQySqoFCeOPmQQJyKirojJyvjKlSvx9NNPw+Vy\nIS8vD8899xwmTZoUi6EQUZwIhoLwB/0IiECn9dqDeIurBWmD0/Doq4/CLbthMVugUqjgD/qhUWpg\n0Vhg1pix9a+DEQqePKJQ6yiF17EZWpghI/LoQo2sgVJWMogTEVGXRT2Mv/POO7jrrrvw0ksvYdKk\nSXjxxRcxY8YMlJSUwOl0Rns4RBQHhBDwh/zwBr2d1js1iCcPSsa0h6bBq/ZioGkghtiGwBfwocHb\ngCZ/ExSSAq1trfhidUZEH7YJH0Hg9HvCzRozDCoDwzgREXVZ1MP4s88+ixtvvBE333wzAOD555/H\n2rVr8dJLL2HFihXRHg4RxQEhBNqCbfAFz7xF5T+D+MxHZkJtVGN3zW5kmDLgCXiwr34fDtQfQM3x\nGlS4K1B+0IbDNYtOdiIFYR73IYJCf9rXSNYlI0GTwGMNiYioy6Iaxv1+P3bu3Il77rknonzatGnY\ntm1bNIdCRHGms/3ix+uP47PffRYRxDVGDWRJxqVpl6LR04h/1/wbqw+sjmjX/OXNET8bcrdBaa5G\nSGQCouPr2PX2E0cd8smbRETURVFdvqmtrUUwGERKSkpEud1uh8vliuZQiCiOCCEQDAVPu1/c5/Zh\n65NbOwRxABhpHwmNQoNydzk++vajyD6DSrRu/35EmXn8PxASIYjTJPFkXTLsBjuMGiO3qRARUZdd\nNEcbFhUVxXoIdIHjHOm7tFot2jRtaGpuQk1t5AknaoMajhEO1P1fHcYtHodmbzPgBTItmbApbSg+\n6MbTD46HdvIOaAcVoj1HHy+eCp8nKdyPpG2GcvDH8HqDCBgCOO45Dq/35B713MxcaAIalJaWorW1\nNSrvm3oXP0PobDhHqDNFRUXIzs4+53ZRDeNJSUmQZRnV1dUR5dXV1UhN5RPriKgHTrNtBDhxxGD+\ndfkI+oNQak585OlUOlzqvBTugBv/fEyLppICNJUUQO3cBfN3V0I/9DO4i34U0Y9h5IdQqHwQkDus\njKtlNTItmbCqrWisP7cngBIRUd8W1TCuVqsxZswYrF+/HrNnzw6Xf/rpp5gzZ06nbceOHXu+h0cX\nqfaVCs6RvisQCOBo/VGYGk1ITkqOuFZTWwNJkpCafvIf/BPTJiIQlPFV8VEU77wrXO4/OhI1f34V\nasf/wV/TL6IfW8FH0Gq1kCUZSlkJnU4Hk9EEAMiz5WGQfRDSk9MxIGvAeXyndD7wM4TOhnOEOnPq\n/Ghq6vpToNtFfZvK3Xffjfnz52PcuHEoKCjAyy+/DJfLhdtuuy3aQyGiOCJJEiScfa92qiEVVq0V\nR5uPYt1nARyHsUMdv2tQxM9qeym0/XedeB1IEXvCNbIGOYk56GfuB5VK1cN3QUREfU3Uw/i1116L\nuro6LF++HFVVVcjPz8eaNWt4xjgR9YgkSV26cTLPlge3340vKr6AquBrpCTuh//zn6Fh73fP2MY8\n/n/xn123B/9cay4yEjKgU+t4pCEREZ2zmNzA+Ytf/AK/+MU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GzJkzKVu2LFWrVrU6V0bDhg1j3LhxTJw4kffee8+GVyq5wWC20RMNwcHB9OzZk/r162My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\nAAAASUVORK5CYII=\n", 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gdm04ftzg+HE4ftwkOfnScW8OqEavFl5YLBacnZ1V+iEiOaakWkRESq6VK23v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\nB+fPn69aI23NDz/8gP79+zdrz8jIQJ8+fXDw4EH06tXL0l5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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3760,16 +3725,16 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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I4vkI9CbqrAvozouoiGYBLSchI701xsbZtMizswBFriIUOgvhsXjAc7whngVW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Ns6LF26lPnz5/PrX/+acDjMjBkzePvttznnnHOSHmOz2Vi5ciWLFi3ilVde4dlnnyUnJ4cZM2ZQ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\nIYTod1KW/vHBBx9w3nnncdddd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i+SD0J+qsC+jui6iIZgEtJyEjvTXGxtm0yLOzAEWuIhQ6C+GxeMBzvCGeBVaA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\nhOgkCaqFEEIIIYToJAmqhRBCC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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3830,16 +3795,16 @@ }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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9+vqHi4sL9erVw9XVNWdc5eysBrRfflms3SkrREKC+iYhIQG+/x6efx5efFFd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yJF/dH374IV/7RenevTstWrRg2bJlPP/88w+94YqNjS1RL3BJNvd59tln+fPP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\nLKU6NE+kOjRPpCrXPrN9K2oVtjt37oy/vz/R0dEMGDAAsL4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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3884,16 +3849,16 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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ettdvpUpqnn7Tpup63+7uau72C0qCbSGEEGVTYCAEBGD58cckVKkCa9bA7dtZ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YgbE8Bc6qxHffKUVc7O3hk0+UAFurVZaxrF6trBcvA41WQ/CRAHaeWEtaSib3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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3932,7 +3897,7 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 64, "metadata": { "collapsed": false }, @@ -3941,7 +3906,7 @@ "data": { "image/png": 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nSk74PHRX1F3CK5/9Ci26Rsikcty+5CFMyZzr02sSERENZ9UN5Th5Phcnzh9A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\nYbFYUFdXh2AwuGQds5LZuru7sWPHDpjNZpjNZng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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3974,7 +3939,7 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 65, "metadata": { "collapsed": false }, @@ -3983,7 +3948,7 @@ "data": { "image/png": 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mTSh6/32cCDSDkIr0CTBkLeTC/KKLLmpYHjx4MMaOHYvs7GwsWrQI9wehImbZ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3999,177 +3964,6 @@ "plt.show()" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Walking Through the KalmanFilter Code (Optional)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "** author's note: this code is somewhat old. This section needs to be edited; I would not pay a lot of attention to it right now. **\n", - "\n", - "The kalman filter code that we are using is implemented in my Python library `FilterPy`. If you are interested in the full implementation of the filter you should look in `filterpy\\kalman\\kalman_filter.py`. In the following I will present a simplified implementation of the same code. The code in the library handles issues that are beyond the scope of this chapter, such as numerical stability and support for the extended Kalman filter, subject of a later chapter. \n", - "\n", - "The code is implemented as the class `KalmanFilter`. Some Python programmers are not a fan of object oriented (OO) Python, and eschew classes. I do not intend to enter into that battle other than to say that I have often seen OO abused. Here I use the class to encapsulate the data that is pertinent to the filter so that you do not have to store and pass around a half dozen variables everywhere.\n", - "\n", - "The method `__init__()` is used by Python to create the object. Here is the method \n", - "\n", - " def __init__(self, dim_x, dim_z):\n", - " \"\"\" Create a Kalman filter. You are responsible for setting the \n", - " various state variables to reasonable values; the defaults below will\n", - " not give you a functional filter.\n", - " \n", - " Parameters\n", - " ----------\n", - " dim_x : int\n", - " Number of state variables for the Kalman filter. For example, if\n", - " you are tracking the position and velocity of an object in two\n", - " dimensions, dim_x would be 4.\n", - " \n", - " This is used to set the default size of P, Q, and u\n", - " \n", - " dim_z : int\n", - " Number of of measurement inputs. For example, if the sensor\n", - " provides you with position in (x,y), dim_z would be 2. \n", - " \"\"\"\n", - " \n", - " self.dim_x = dim_x\n", - " self.dim_z = dim_z\n", - "\n", - " self.x = np.zeros((dim_x, 1)) # state\n", - " 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.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", - "\n", - " # identity matrix. Do not alter this.\n", - " self._I = np.eye(dim_x)\n", - "\n", - "More than anything this method exists to document for you what the variable names are in the filter. To do anything useful with this filter you will have to modify most of these values. Some are set to useful values. For example, `R` is set to an identity matrix; if you want the diagonals of `R` to be 10. you may write (as we did earlier in this chapter) `my_filter.R += 10.`.\n", - "\n", - "The names used for each variable matches the math symbology used in this chapter. Thus, `self.P` is the covariance matrix, `self.x` is the state, and so on.\n", - "\n", - "The predict function implements the predict step of the Kalman equations, which are \n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "\\mathbf{x}^- &= \\mathbf{F x} + \\mathbf{B u} \\\\\n", - "\\mathbf{P}^- &= \\mathbf{FP{F}}^\\mathsf{T} + \\mathbf{Q} \n", - "\\end{aligned}\n", - "$$\n", - "\n", - "The corresponding code is\n", - "\n", - " def predict(self): \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 multiplication 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 multiplication far more often than element-wise multiplication. 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", - "\n", - "With that in mind, the Python code `self.F.dot(self.x)` implements the math expression $\\mathbf{F x}$.\n", - "\n", - "NumPy's `array` implements matrix transposition by using the `.T` property. Therefore, `F.T` is the python implementation of $\\mathbf{F}^\\mathsf{T}$.\n", - "\n", - "The `update()` method implements the update equations of the Kalman filter, which are\n", - "\n", - "$$\n", - "\\begin{aligned}\n", - "\\mathbf{y} &= \\mathbf{z} - \\mathbf{H}\\mathbf{x^-} \\\\\n", - "\\mathbf{K} &= \\mathbf{P} \\mathbf{H}^\\mathsf{T} (\\mathbf{H} \\mathbf{P^-} \\mathbf{H}^\\mathsf{T} +\\mathbf{R})^{-1} \\\\\n", - "\\mathbf{x} &= \\mathbf{x}^- + \\mathbf{K} \\mathbf{y} \\\\\n", - "\\mathbf{P} &= (\\mathbf{I} - \\mathbf{K} \\mathbf{H})\\mathbf{P^-}\n", - "\\end{aligned}\n", - "$$\n", - "\n", - "The corresponding code is:\n", - "\n", - " def update(self, Z, R=None):\n", - " \"\"\"\n", - " Add a new measurement (Z) to the kalman filter. If Z is None, nothing\n", - " is changed.\n", - "\n", - " Optionally provide R to override the measurement noise for this\n", - " one call, otherwise self.R will be used.\n", - "\n", - " self.residual, self.S, and self.K are stored in case you want to\n", - " inspect these variables. Strictly speaking they are not part of the\n", - " output of the Kalman filter, however, it is often useful to know\n", - " what these values are in various scenarios.\n", - " \"\"\"\n", - "\n", - " if Z is None:\n", - " return\n", - "\n", - " if R is None:\n", - " R = self.R\n", - " elif np.isscalar(R):\n", - " R = np.eye(self.dim_z) * R\n", - "\n", - " # error (residual) between measurement and prediction\n", - " self.residual = Z - self.H.dot(self.x)\n", - "\n", - " # project system uncertainty into measurement space\n", - " self.S = self.H.dot(self.P).dot(self.H.T) + R\n", - "\n", - " # map system uncertainty into kalman gain\n", - " self.K = self.P.dot(self.H.T).dot(linalg.inv(self.S))\n", - "\n", - " # predict new x with residual scaled by the kalman gain\n", - " self.x += self.K.dot(self.residual)\n", - "\n", - " KH = self.K.dot(self.H)\n", - " I_KH = self._I - KH\n", - " self.P = (I_KH.dot(self.P.dot(I_KH.T)) +\n", - " self.K.dot(self.R.dot(self.K.T)))\n", - "\n", - "There are a few more complications in this piece of code compared to `predict()` but it should still be quite clear. \n", - "\n", - "The first complication are the lines:\n", - "\n", - " if Z is None:\n", - " return\n", - " \n", - "This just lets you deal with missing data in a natural way. It is typical to use `None` to indicate the absence of data. If there is no data for an update we skip the update equations. This bit of code means you can write something like:\n", - "\n", - " z = read_sensor() # may return None if no data\n", - " my_kf.update(z)\n", - " \n", - "instead of:\n", - " z = read_sensor()\n", - " if z is not None:\n", - " my_kf.update(z)\n", - " \n", - "Reasonable people will argue whether my choice is cleaner, or obscures the fact that we do not update if the measurement is `None`. Having written a lot of avionics code my proclivity is always to do the safe thing. If we pass 'None' into the function I do not want an exception to occur; instead, I want the reasonable thing to happen, which is to just return without doing anything. If you feel that my choice obscures that fact, go ahead and write the explicit `if` statement prior to calling `update()` and get the best of both worlds.\n", - "\n", - "The next bit of code lets you optionally pass in a value to override `R`. It is common for the sensor noise to vary over time; if it does you can pass in the value as the optional parameter `R`.\n", - "\n", - " if R is None:\n", - " R = self.R\n", - " elif np.isscalar(R):\n", - " R = np.eye(self.dim_z) * R\n", - " \n", - "This code will use self.R if you do not provide a value for `R`. If you did provide a value, it will check if you provided a scalar (number); if so it constructs a matrix of the correct dimension for you. Otherwise it assumes that you passed in a matrix of the correct dimension.\n", - "\n", - "The rest of the code implements the Kalman filter equations, with one exception. Instead of implementing \n", - "\n", - "$$\\mathbf{P} = (\\mathbf{I} - \\mathbf{KH})\\mathbf{P}^-$$\n", - "\n", - "it implements the somewhat more complicated form \n", - "\n", - "$$\\mathbf{P} = (\\mathbf{I} - \\mathbf{KH})\\mathbf{P}^-(\\mathbf{I} - \\mathbf{KH})^\\mathsf{T} + \\mathbf{KRK}^\\mathsf{T}$$.\n", - "\n", - "The reason for this altered equation is that it is more numerically stable than the former equation, at the cost of being a bit more expensive to compute. It is not always possible to find the optimal value for $\\text{K}$, in which case the former equation will not produce good results because it assumes optimality. The longer reformulation used in the code is derived from more general math that does not assume optimality, and hence provides good results for non-optimal filters (such as when we can not correctly model our measurement error).\n", - "\n", - "Various texts differ as to whether this form of the equation should always be used, or only used when you know you need it. I choose to expend a bit more processing power to ensure stability; if your hardware is very constrained and you are able to prove that the simpler equation is correct for your problem then you might choose to use it instead. Personally, I find that a risky approach and do not recommend it to non-experts. Brown's *Introduction to Random Signals and Applied Kalman Filtering* [3] discusses this issue in some detail, if you are interested." - ] - }, { "cell_type": "markdown", "metadata": {}, diff --git a/07_Kalman_Filter_Math.ipynb b/07_Kalman_Filter_Math.ipynb index 052a571..d89f033 100644 --- a/07_Kalman_Filter_Math.ipynb +++ b/07_Kalman_Filter_Math.ipynb @@ -591,6 +591,140 @@ "$\\mathbf{FPF}^\\mathsf{T}$ is the way we put $\\mathbf{P}$ into the process space using linear algebra so that we can add the process noise $\\mathbf{Q}$ to it." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Converting the Multivariate Equations to the Univariate Case\n", + "\n", + "\n", + "As it turns out the Kalman filter equations are quite easy to deal with in one dimension, so let's do the mathematical proof. \n", + "\n", + "> **Note:** This section will provide you with a strong intuition into what the Kalman filter equations are actually doing. While this section is not strictly required, I recommend reading this section carefully as it should make the rest of the material easier to understand. It is not merely a proof of correctness that you would normally want to skip past! The equations look complicated, but they are actually doing something quite simple.\n", + "\n", + "Let's start with the predict step, which is slightly easier. Here are the multivariate equations.\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "\\mathbf{x}^- &= \\mathbf{F x} + \\mathbf{B u} \\\\\n", + "\\mathbf{P^-} &= \\mathbf{FP{F}}^\\mathsf{T} + \\mathbf{Q}\n", + "\\end{aligned}\n", + "$$\n", + "\n", + "The state $\\mathbf{x}$ only has one variable, so it is a $1\\times 1$ matrix. Our motion $\\mathbf{u}$ is also be a $1\\times 1$ matrix. Therefore, $\\mathbf{F}$ and $\\mathbf{B}$ must also be $1\\times 1$ matrices. That means that they are all scalars, and we can write\n", + "\n", + "$$x = Fx + Bu$$\n", + "\n", + "Here the variables are not bold, denoting that they are not matrices or vectors. \n", + "\n", + "Our state transition is simple - the next state is the same as this state, so $F=1$. The same holds for the motion transition, so, $B=1$. Thus we have\n", + "\n", + "$$x = x + u$$\n", + "\n", + "which is equivalent to the Gaussian equation from the last chapter\n", + "\n", + "$$ \\mu = \\mu_1+\\mu_2$$\n", + "\n", + "Hopefully the general process is clear, so now I will go a bit faster on the rest. Our other equation for the predict step is\n", + "\n", + "$$\\mathbf{P}^- = \\mathbf{FP{F}}^\\mathsf{T} + \\mathbf{Q}$$\n", + "\n", + "Again, since our state only has one variable $\\mathbf{P}$ and $\\mathbf{Q}$ must also be $1\\times 1$ matrix, which we can treat as scalars, yielding \n", + "\n", + "$$P^- = FPF^\\mathsf{T} + Q$$\n", + "\n", + "We already know $F=1$. The transpose of a scalar is the scalar, so $F^\\mathsf{T} = 1$. This yields\n", + "\n", + "$$P^- = P + Q$$\n", + "\n", + "which is equivalent to the Gaussian equation of \n", + "\n", + "$$\\sigma^2 = \\sigma_1^2 + \\sigma_2^2$$\n", + "\n", + "This proves that the multivariate equations are performing the same math as the univariate equations for the case of the dimension being 1." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here our our multivariate Kalman filter equations for the update step.\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "\\textbf{y} &= \\mathbf{z} - \\mathbf{H x^-}\\\\\n", + "\\mathbf{K}&= \\mathbf{P^-H}^\\mathsf{T} (\\mathbf{HP^-H}^\\mathsf{T} + \\mathbf{R})^{-1} \\\\\n", + "\\mathbf{x}&=\\mathbf{x}^- +\\mathbf{K\\textbf{y}} \\\\\n", + "\\mathbf{P}&= (\\mathbf{I}-\\mathbf{KH})\\mathbf{P^-}\n", + "\\end{aligned}\n", + "$$\n", + "\n", + "As above, all of the matrices become scalars. $H$ defines how we convert from a position to a measurement. Both are positions, so there is no conversion, and thus $H=1$. Let's substitute in our known values and convert to scalar in one step. One final thing you need to know - division is scalar's analogous operation for matrix inversion, so we will convert the matrix inversion to division.\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "y &= z - x^-\\\\\n", + "K &=P^- / (P^- + R) \\\\\n", + "x &=x +Ky \\\\\n", + "P &= (1-K)P^-\n", + "\\end{aligned}\n", + "$$\n", + "\n", + "Before we continue with the proof, I want you to look at those equations to recognize what a simple concept these equations implement. The residual $y$ is nothing more than the measurement minus the previous state. The gain $K$ is scaled based on how certain we are about the last prediction vs how certain we are about the measurement. We choose a new state $x$ based on the old value of $x$ plus the scaled value of the residual. Finally, we update the uncertainty based on how certain we are about the measurement. Algorithmically this should sound exactly like what we did in the last chapter.\n", + "\n", + "So let's finish off the algebra to prove this. It's straightforward, and not at all necessary for you to learn unless you are interested. Feel free to skim ahead to the last paragraph in this section if you prefer skipping the algebra.\n", + "\n", + "Recall that the univariate equations for the update step are:\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "\\mu &=\\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2}, \\\\\n", + "\\sigma^2 &= \\frac{1}{\\frac{1}{\\sigma_1^2} + \\frac{1}{\\sigma_2^2}}\n", + "\\end{aligned}\n", + "$$\n", + "\n", + "Here we will say that $\\mu_1$ is the state $x$, and $\\mu_2$ is the measurement $z$. That is entirely arbitrary, we could have chosen the opposite assignment. Thus it follows that that $\\sigma_1^2$ is the state uncertainty $P$, and $\\sigma_2^2$ is the measurement noise $R$. Let's substitute those in.\n", + "\n", + "$$ \\mu = \\frac{Pz + Rx}{P+R} \\\\\n", + "\\sigma^2 = \\frac{1}{\\frac{1}{P} + \\frac{1}{R}}\n", + "$$\n", + "\n", + "I will handle $\\mu$ first. The corresponding equation in the multivariate case is\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "x &= x + Ky \\\\\n", + "&= x + \\frac{P}{P+R}(z-x) \\\\\n", + "&= \\frac{P+R}{P+R}x + \\frac{Pz - Px}{P+R} \\\\\n", + "&= \\frac{Px + Rx + Pz - Px}{P+R} \\\\\n", + "&= \\frac{Pz + Rx}{P+R}\n", + "\\end{aligned}\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's look at $\\sigma^2$. The corresponding equation in the multivariate case is\n", + "\n", + "$$ \n", + "\\begin{aligned}\n", + "P &= (1-K)P \\\\\n", + "&= (1-\\frac{P}{P+R})P \\\\\n", + "&= (\\frac{P+R}{P+R}-\\frac{P}{P+R})P \\\\\n", + "&= (\\frac{P+R-P}{P+R})P \\\\\n", + "&= \\frac{RP}{P+R}\\\\\n", + "&= \\frac{1}{\\frac{P+R}{RP}}\\\\\n", + "&= \\frac{1}{\\frac{R}{RP} + \\frac{P}{RP}} \\\\\n", + "&= \\frac{1}{\\frac{1}{P} + \\frac{1}{R}}\n", + "\\quad\\blacksquare\n", + "\\end{aligned}\n", + "$$\n", + "\n", + "So we have proven that the multivariate equations are equivalent to the univariate equations when we only have one state variable. I'll close this section by recognizing one quibble - I hand waved my assertion that $H=1$ and $F=1$. In general we know this is not true. For example, a digital thermometer may provide measurement in volts, and we need to convert that to temperature, and we use $H$ to do that conversion. I left that issue out of the last chapter to keep the explanation as simple and streamlined as possible. It is very straightforward to add that generalization to the equations of the last chapter, redo the algebra above, and still have the same results. In practice we do not use the equations in the last chapter to perform Kalman filtering due to the material in the next section which demonstrates how much better the Kalman filter performs when we include unobserved variables. So I prefer to leave the equations from the last chapter in their simplest form so that they economically represent our central ideas without any extra complications." + ] + }, { "cell_type": "markdown", "metadata": {}, diff --git a/Appendix_A_Installation.ipynb b/Appendix_A_Installation.ipynb index df29cf7..14d7753 100644 --- a/Appendix_A_Installation.ipynb +++ b/Appendix_A_Installation.ipynb @@ -1,799 +1,799 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "[Table of Contents](http://nbviewer.ipython.org/github/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/table_of_contents.ipynb)" - ] - }, - { - "cell_type": "raw", - "metadata": { - "collapsed": false - }, - "source": [ - "\\appendix" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Installation, Python, NumPy, and FilterPy" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/html": [ - "\n", - "\n" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "#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()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This book is written in IPython Notebook, a browser based interactive Python environment that mixes Python, text, and math. I choose it because of the interactive features - I found Kalman filtering nearly impossible to learn until I started working in an interactive environment. It is difficult to form an intuition of the effect of many of the parameters that you can tune until you can change them rapidly and immediately see the output. An interactive environment also allows you to play 'what if' scenarios out. \"What if I set $\\mathbf{Q}$ to zero?\" It is trivial to find out with IPython Notebook.\n", - "\n", - "Another reason I choose it is because I find that a typical textbook leaves many things opaque. For example, there might be a beautiful plot next to some pseudocode. That plot was produced by software, but software that is not available to me as a reader. I want everything that went into producing this book to be available to the reader. How do you plot a covariance ellipse? You won't know if you read most books. With IPython Notebook all you have to do is look at the source code.\n", - "\n", - "Even if you choose to read the book online you will want Python and the SciPy stack installed so that you can write your own Kalman filters. There are many different ways to install these libraries, and I cannot cover them all, but I will cover a few typical scenarios." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Installing the SciPy Stack" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This book requires IPython, NumPy, SciPy, SymPy, and Matplotlib. The SciPy stack depends on third party Fortran and C code, and is *not* trivial to install from source code - even the SciPy website strongly urges using a pre-built installation, and I concur with this advice.\n", - "\n", - "I use the Anaconda distribution from Continuum Analytics. This is an excellent package that combines all of the packages listed above, plus many others in one distribution. Installation is very straightforward, and it can be done alongside other Python installation you might already have on your machine. It is free to use, and Continuum Analytics will always ensure that the latest releases of all it's packages are available and built correctly for your OS. You may download it from here: http://continuum.io/downloads\n", - "\n", - "I strongly recommend using the latest Python 3 version that they provide; I am developing in Python 3.x, and only sporadically test that everything works in Python 2.7. However, it is my long term goal to support 2.7, and if you wish to either not be bothered with 3.x and are willing to be occasionally frustrated with breaking check ins you may stick with Python 2.7.\n", - "\n", - "I am still writing the book, so I do not know exactly what versions of each package is required. I do strongly urge you to use IPython 2.0 or later (this version number has nothing to do with Python 2 vs 3, by the way), as it provides many useful features which I will explain later. \n", - "\n", - "There are other choices for installing the SciPy stack. The SciPy stack provides instructions here: http://scipy.org/install.html" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Installing FilterPy\n", - "\n", - "FilterPy is a Python library that implements all of the filters used in this book, and quite a few not used by this book. Installation is easy using Pip. Issue the following command from the command prompt.\n", - "\n", - " pip install filterpy\n", - " \n", - " \n", - "FilterPy is written by me, and the latest development version is always available at github.com/rlabbe/filterpy.\n", - " \n", - " " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Manual Install of the SciPy stack" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This really isn't easy, and again I advice you to follow the advice of the SciPy website and to use a prepackaged solution. Still, I will give you one example of an install from a fresh operating system. You will have to adapt the instructions to fit your OS and OS version. I will use xubuntu, a linux distribution, because that is what I am most familiar with. I know there are pre-built binaries for Windows (link provided on the SciPy installation web page), and I have no experience with Mac and Python.\n", - "\n", - "I started by doing a fresh install of xubuntu 14.04 on a virtual machine. At that point there is a version of Python 2.7.6 and 3.4 pre-installed. As discussed above you may use either version; I will give the instructions for version 3.4 both because I prefer version 3 and because it can be slightly more tricky because 2.7 is the default Python that runs in xubuntu. Basically the difference is that you have to append a '3' at the end of commands. `python3` instead of `python`, `pip3` instead of `pip`, and so on.\n", - "\n", - "First we will install pip with the following command:\n", - "\n", - " sudo apt-get install python3-pip\n", - " \n", - " \n", - "Now you will need to install the various packages from the Ubuntu repositories. Unfortunately they usually do not contain the latest version, so we will also install the development tools necessary to perform an upgrade, which requires compiling various modules.\n", - "\n", - "\n", - " sudo apt-get install python3-numpy python3-scipy python3-matplotlib\n", - " sudo apt-get install libblas-dev liblapack-dev gfortran python3-dev \n", - "\n", - "\n", - "Now you can upgrade the packages. This will take a long time as everything needs to be compiled from source. If you get an error I do not know how to help you!\n", - "\n", - " sudo pip3 install numpy --upgrade\n", - " sudo pip3 install scipy --upgrade\n", - "\n", - "Now you get to install SymPy. You can download it from github (replace version number with the most recent version):\n", - "\n", - " wget https://github.com/sympy/sympy/releases/download/sympy-0.7.6/sympy-0.7.6.tar.gz\n", - " tar -zxvf sympy-0.7.6.tar.gz\n", - "\n", - "Now go into the directory you just extracted and run setup. \n", - "\n", - " sudo python3 setup.py install\n", - " \n", - " \n", - "If all of this went without a hitch you should have a good install. Try the following. From the command line type `ipython3` to launch ipython, then issue the following commands. Each should run with no exceptions.\n", - "\n", - " import numpy as np\n", - " import scipy as sp\n", - " import sympy as sym\n", - " np.__version__\n", - " sp.__version__\n", - " sum.__version__\n", - " \n", - "Now let's make sure plotting works correctly.\n", - "\n", - " import matplotlib.pyplot as plt\n", - " plt.plot([1, 4, 3])\n", - " plt.show()\n", - " \n", - "Now you get to fix IPython so ipython notebook will run. First, I had to uninstall IPython with\n", - "\n", - " sudo pip3 uninstall ipython\n", - " \n", - "Then, I reinstalled it with the `[all]` option so that all the required dependencies are installed.\n", - "\n", - " sudo pip3 install \"ipython3[all]\"\n", - " \n", - "Now test the installation by typing\n", - "\n", - " ipython notebook\n", - " \n", - "If successful, it should launch a browser showing you the IPython home page.\n", - "\n", - "\n", - "That was not fun. It actually goes somewhat smoother in Windows, where you can download pre-built binaries for these packages; however, you are dependent on this being done for you in a timely manner. So, please follow the SciPy advice and use a pre-built distribution! I will not be supporting this manual install process." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Installing/downloading and running the book" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Okay, so now you have the SciPy stack installed, how do you download the book? This is easy as the book is in a github repository. From the command line type the following:\n", - "\n", - " git clone https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python.git\n", - " \n", - "Alternatively, browse to https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python and download it via your browser.\n", - "\n", - "Now, from the command prompt change to the directory that was just created, and then run ipython notebook:\n", - "\n", - " cd Kalman-and-Bayesian-Filters-in-Python\n", - " ipython notebook\n", - "\n", - "A browser window should launch showing you all of the chapters in the book. Browse to the first chapter by clicking on it, then open the notebook in that subdirectory by clicking on the link." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Using IPython Notebook" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A complete tutorial on IPython Notebook is beyond the scope of this book. Many are available online. In short, Python code is placed in cells. These are prefaced with text like `In [1]:`, and the code itself is in a boxed area. If you press CTRL-ENTER while focus is inside the box the code will run and the results will be displayed below the box. Like this:" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "10.2\n" - ] - } - ], - "source": [ - "print(3+7.2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If you have this open in ipython notebook now, go ahead and modify that code by changing the expression inside the print statement and pressing CTRL+ENTER. The output should be changed to reflect what you typed in the code cell." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## SymPy" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "SymPy is a Python package for performing symbolic mathematics. The full scope of its abilities are beyond this book, but it can perform algebra, integrate and differentiate equations, find solutions to differential equations, and much more. For example, we use use to to compute the Jacobian of matrices and the expected value integral computations.\n", - "\n", - "First, a simple example. We will import SymPy, initialize its pretty print functionality (which will print equations using LaTeX). We will then declare a symbol for Numpy to use." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$$\\phi$$" - ], - "text/plain": [ - "\\phi" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "import sympy\n", - "sympy.init_printing(use_latex='mathjax')\n", - "\n", - "phi, x = sympy.symbols('\\phi, x')\n", - "phi" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Notice how we use a latex expression for the symbol `phi`. This is not necessary, but if you do it will render as LaTeX when output. Now let's do some math. What is the derivative of $\\sqrt{\\phi}$?" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$$\\frac{1}{2 \\sqrt{\\phi}}$$" - ], - "text/plain": [ - " 1 \n", - "───────\n", - " ___\n", - "2⋅╲╱ φ " - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "sympy.diff('sqrt(phi)')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can factor equations" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$$\\left(\\phi - 1\\right) \\left(\\phi^{2} + 1\\right)$$" - ], - "text/plain": [ - " ⎛ 2 ⎞\n", - "(\\phi - 1)⋅⎝\\phi + 1⎠" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "sympy.factor(phi**3 -phi**2 + phi - 1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "and we can expand them." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$$\\phi^{2} - 3 \\phi - 4$$" - ], - "text/plain": [ - " 2 \n", - "\\phi - 3⋅\\phi - 4" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "((phi+1)*(phi-4)).expand()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You can find the value of an equation by substituting in a value for a variable" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$$8$$" - ], - "text/plain": [ - "8" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "w =x**2 -3*x +4\n", - "w.subs(x,4)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "You can also use strings for equations that use symbols that you have not defined" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$$2 t + 2$$" - ], - "text/plain": [ - "2⋅t + 2" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "x = sympy.expand('(t+1)*2')\n", - "x" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's use SymPy to compute the Jacobian of a matrix. Let us have a function\n", - "\n", - "$$h=\\sqrt{(x^2 + z^2)}$$\n", - "\n", - "for which we want to find the Jacobian with respect to x, y, and z." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$$\\left[\\begin{matrix}\\frac{x}{\\sqrt{x^{2} + z^{2}}} & 0 & \\frac{z}{\\sqrt{x^{2} + z^{2}}}\\end{matrix}\\right]$$" - ], - "text/plain": [ - "⎡ x z ⎤\n", - "⎢──────────── 0 ────────────⎥\n", - "⎢ _________ _________⎥\n", - "⎢ ╱ 2 2 ╱ 2 2 ⎥\n", - "⎣╲╱ x + z ╲╱ x + z ⎦" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "x, y, z = sympy.symbols('x y z')\n", - "\n", - "H = sympy.Matrix([sympy.sqrt(x**2 + z**2)])\n", - "\n", - "state = sympy.Matrix([x, y, z])\n", - "H.jacobian(state)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's compute the discrete process noise matrix $\\mathbf{Q}_k$ given the continuous process noise matrix \n", - "$$\\mathbf{Q} = \\Phi_s \\begin{bmatrix}0&0&0\\\\0&0&0\\\\0&0&1\\end{bmatrix}$$\n", - "\n", - "and the equation\n", - "\n", - "$$\\mathbf{Q} = \\int_0^{\\Delta t} \\Phi(t)\\mathbf{Q}\\Phi^T(t) dt$$\n", - "\n", - "where \n", - "$$\\Phi(t) = \\begin{bmatrix}1 & \\Delta t & {\\Delta t}^2/2 \\\\ 0 & 1 & \\Delta t\\\\ 0& 0& 1\\end{bmatrix}$$" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$$\\left[\\begin{matrix}\\frac{\\Delta{t}^{5}}{20} & \\frac{\\Delta{t}^{4}}{8} & \\frac{\\Delta{t}^{3}}{6}\\\\\\frac{\\Delta{t}^{4}}{8} & \\frac{\\Delta{t}^{3}}{3} & \\frac{\\Delta{t}^{2}}{2}\\\\\\frac{\\Delta{t}^{3}}{6} & \\frac{\\Delta{t}^{2}}{2} & \\Delta{t}\\end{matrix}\\right]$$" - ], - "text/plain": [ - "⎡ 5 4 3⎤\n", - "⎢\\Delta{t} \\Delta{t} \\Delta{t} ⎥\n", - "⎢────────── ────────── ──────────⎥\n", - "⎢ 20 8 6 ⎥\n", - "⎢ ⎥\n", - "⎢ 4 3 2⎥\n", - "⎢\\Delta{t} \\Delta{t} \\Delta{t} ⎥\n", - "⎢────────── ────────── ──────────⎥\n", - "⎢ 8 3 2 ⎥\n", - "⎢ ⎥\n", - "⎢ 3 2 ⎥\n", - "⎢\\Delta{t} \\Delta{t} ⎥\n", - "⎢────────── ────────── \\Delta{t} ⎥\n", - "⎣ 6 2 ⎦" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dt = sympy.symbols('\\Delta{t}')\n", - "F_k = sympy.Matrix([[1, dt, dt**2/2],\n", - " [0, 1, dt],\n", - " [0, 0, 1]])\n", - "Q = sympy.Matrix([[0,0,0],\n", - " [0,0,0],\n", - " [0,0,1]])\n", - "\n", - "sympy.integrate(F_k*Q*F_k.T,(dt, 0, dt))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.4.3" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Table of Contents](http://nbviewer.ipython.org/github/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/table_of_contents.ipynb)" + ] + }, + { + "cell_type": "raw", + "metadata": { + "collapsed": false + }, + "source": [ + "\\appendix" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Installation, Python, NumPy, and FilterPy" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#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()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This book is written in IPython Notebook, a browser based interactive Python environment that mixes Python, text, and math. I choose it because of the interactive features - I found Kalman filtering nearly impossible to learn until I started working in an interactive environment. It is difficult to form an intuition of the effect of many of the parameters that you can tune until you can change them rapidly and immediately see the output. An interactive environment also allows you to play 'what if' scenarios out. \"What if I set $\\mathbf{Q}$ to zero?\" It is trivial to find out with IPython Notebook.\n", + "\n", + "Another reason I choose it is because I find that a typical textbook leaves many things opaque. For example, there might be a beautiful plot next to some pseudocode. That plot was produced by software, but software that is not available to me as a reader. I want everything that went into producing this book to be available to the reader. How do you plot a covariance ellipse? You won't know if you read most books. With IPython Notebook all you have to do is look at the source code.\n", + "\n", + "Even if you choose to read the book online you will want Python and the SciPy stack installed so that you can write your own Kalman filters. There are many different ways to install these libraries, and I cannot cover them all, but I will cover a few typical scenarios." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Installing the SciPy Stack" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This book requires IPython, NumPy, SciPy, SymPy, and Matplotlib. The SciPy stack depends on third party Fortran and C code, and is *not* trivial to install from source code - even the SciPy website strongly urges using a pre-built installation, and I concur with this advice.\n", + "\n", + "I use the Anaconda distribution from Continuum Analytics. This is an excellent package that combines all of the packages listed above, plus many others in one distribution. Installation is very straightforward, and it can be done alongside other Python installation you might already have on your machine. It is free to use, and Continuum Analytics will always ensure that the latest releases of all it's packages are available and built correctly for your OS. You may download it from here: http://continuum.io/downloads\n", + "\n", + "I strongly recommend using the latest Python 3 version that they provide; I am developing in Python 3.x, and only sporadically test that everything works in Python 2.7. However, it is my long term goal to support 2.7, and if you wish to either not be bothered with 3.x and are willing to be occasionally frustrated with breaking check ins you may stick with Python 2.7.\n", + "\n", + "I am still writing the book, so I do not know exactly what versions of each package is required. I do strongly urge you to use IPython 2.0 or later (this version number has nothing to do with Python 2 vs 3, by the way), as it provides many useful features which I will explain later. \n", + "\n", + "There are other choices for installing the SciPy stack. The SciPy stack provides instructions here: http://scipy.org/install.html" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Installing FilterPy\n", + "\n", + "FilterPy is a Python library that implements all of the filters used in this book, and quite a few not used by this book. Installation is easy using Pip. Issue the following command from the command prompt.\n", + "\n", + " pip install filterpy\n", + " \n", + " \n", + "FilterPy is written by me, and the latest development version is always available at github.com/rlabbe/filterpy.\n", + " \n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Manual Install of the SciPy stack" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This really isn't easy, and again I advice you to follow the advice of the SciPy website and to use a prepackaged solution. Still, I will give you one example of an install from a fresh operating system. You will have to adapt the instructions to fit your OS and OS version. I will use xubuntu, a linux distribution, because that is what I am most familiar with. I know there are pre-built binaries for Windows (link provided on the SciPy installation web page), and I have no experience with Mac and Python.\n", + "\n", + "I started by doing a fresh install of xubuntu 14.04 on a virtual machine. At that point there is a version of Python 2.7.6 and 3.4 pre-installed. As discussed above you may use either version; I will give the instructions for version 3.4 both because I prefer version 3 and because it can be slightly more tricky because 2.7 is the default Python that runs in xubuntu. Basically the difference is that you have to append a '3' at the end of commands. `python3` instead of `python`, `pip3` instead of `pip`, and so on.\n", + "\n", + "First we will install pip with the following command:\n", + "\n", + " sudo apt-get install python3-pip\n", + " \n", + " \n", + "Now you will need to install the various packages from the Ubuntu repositories. Unfortunately they usually do not contain the latest version, so we will also install the development tools necessary to perform an upgrade, which requires compiling various modules.\n", + "\n", + "\n", + " sudo apt-get install python3-numpy python3-scipy python3-matplotlib\n", + " sudo apt-get install libblas-dev liblapack-dev gfortran python3-dev \n", + "\n", + "\n", + "Now you can upgrade the packages. This will take a long time as everything needs to be compiled from source. If you get an error I do not know how to help you!\n", + "\n", + " sudo pip3 install numpy --upgrade\n", + " sudo pip3 install scipy --upgrade\n", + "\n", + "Now you get to install SymPy. You can download it from github (replace version number with the most recent version):\n", + "\n", + " wget https://github.com/sympy/sympy/releases/download/sympy-0.7.6/sympy-0.7.6.tar.gz\n", + " tar -zxvf sympy-0.7.6.tar.gz\n", + "\n", + "Now go into the directory you just extracted and run setup. \n", + "\n", + " sudo python3 setup.py install\n", + " \n", + " \n", + "If all of this went without a hitch you should have a good install. Try the following. From the command line type `ipython3` to launch ipython, then issue the following commands. Each should run with no exceptions.\n", + "\n", + " import numpy as np\n", + " import scipy as sp\n", + " import sympy as sym\n", + " np.__version__\n", + " sp.__version__\n", + " sum.__version__\n", + " \n", + "Now let's make sure plotting works correctly.\n", + "\n", + " import matplotlib.pyplot as plt\n", + " plt.plot([1, 4, 3])\n", + " plt.show()\n", + " \n", + "Now you get to fix IPython so ipython notebook will run. First, I had to uninstall IPython with\n", + "\n", + " sudo pip3 uninstall ipython\n", + " \n", + "Then, I reinstalled it with the `[all]` option so that all the required dependencies are installed.\n", + "\n", + " sudo pip3 install \"ipython3[all]\"\n", + " \n", + "Now test the installation by typing\n", + "\n", + " ipython notebook\n", + " \n", + "If successful, it should launch a browser showing you the IPython home page.\n", + "\n", + "\n", + "That was not fun. It actually goes somewhat smoother in Windows, where you can download pre-built binaries for these packages; however, you are dependent on this being done for you in a timely manner. So, please follow the SciPy advice and use a pre-built distribution! I will not be supporting this manual install process." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Installing/downloading and running the book" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Okay, so now you have the SciPy stack installed, how do you download the book? This is easy as the book is in a github repository. From the command line type the following:\n", + "\n", + " git clone https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python.git\n", + " \n", + "Alternatively, browse to https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python and download it via your browser.\n", + "\n", + "Now, from the command prompt change to the directory that was just created, and then run ipython notebook:\n", + "\n", + " cd Kalman-and-Bayesian-Filters-in-Python\n", + " ipython notebook\n", + "\n", + "A browser window should launch showing you all of the chapters in the book. Browse to the first chapter by clicking on it, then open the notebook in that subdirectory by clicking on the link." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using IPython Notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A complete tutorial on IPython Notebook is beyond the scope of this book. Many are available online. In short, Python code is placed in cells. These are prefaced with text like `In [1]:`, and the code itself is in a boxed area. If you press CTRL-ENTER while focus is inside the box the code will run and the results will be displayed below the box. Like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10.2\n" + ] + } + ], + "source": [ + "print(3+7.2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you have this open in ipython notebook now, go ahead and modify that code by changing the expression inside the print statement and pressing CTRL+ENTER. The output should be changed to reflect what you typed in the code cell." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## SymPy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "SymPy is a Python package for performing symbolic mathematics. The full scope of its abilities are beyond this book, but it can perform algebra, integrate and differentiate equations, find solutions to differential equations, and much more. For example, we use use to to compute the Jacobian of matrices and the expected value integral computations.\n", + "\n", + "First, a simple example. We will import SymPy, initialize its pretty print functionality (which will print equations using LaTeX). We will then declare a symbol for Numpy to use." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\\phi$$" + ], + "text/plain": [ + "\\phi" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import sympy\n", + "sympy.init_printing(use_latex='mathjax')\n", + "\n", + "phi, x = sympy.symbols('\\phi, x')\n", + "phi" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice how we use a latex expression for the symbol `phi`. This is not necessary, but if you do it will render as LaTeX when output. Now let's do some math. What is the derivative of $\\sqrt{\\phi}$?" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\\frac{1}{2 \\sqrt{\\phi}}$$" + ], + "text/plain": [ + " 1 \n", + "───────\n", + " ___\n", + "2⋅╲╱ φ " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sympy.diff('sqrt(phi)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can factor equations" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\\left(\\phi - 1\\right) \\left(\\phi^{2} + 1\\right)$$" + ], + "text/plain": [ + " ⎛ 2 ⎞\n", + "(\\phi - 1)⋅⎝\\phi + 1⎠" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sympy.factor(phi**3 -phi**2 + phi - 1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "and we can expand them." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\\phi^{2} - 3 \\phi - 4$$" + ], + "text/plain": [ + " 2 \n", + "\\phi - 3⋅\\phi - 4" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "((phi+1)*(phi-4)).expand()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can find the value of an equation by substituting in a value for a variable" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/latex": [ + "$$8$$" + ], + "text/plain": [ + "8" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "w =x**2 -3*x +4\n", + "w.subs(x,4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can also use strings for equations that use symbols that you have not defined" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/latex": [ + "$$2 t + 2$$" + ], + "text/plain": [ + "2⋅t + 2" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x = sympy.expand('(t+1)*2')\n", + "x" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's use SymPy to compute the Jacobian of a matrix. Let us have a function\n", + "\n", + "$$h=\\sqrt{(x^2 + z^2)}$$\n", + "\n", + "for which we want to find the Jacobian with respect to x, y, and z." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\\left[\\begin{matrix}\\frac{x}{\\sqrt{x^{2} + z^{2}}} & 0 & \\frac{z}{\\sqrt{x^{2} + z^{2}}}\\end{matrix}\\right]$$" + ], + "text/plain": [ + "⎡ x z ⎤\n", + "⎢──────────── 0 ────────────⎥\n", + "⎢ _________ _________⎥\n", + "⎢ ╱ 2 2 ╱ 2 2 ⎥\n", + "⎣╲╱ x + z ╲╱ x + z ⎦" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x, y, z = sympy.symbols('x y z')\n", + "\n", + "H = sympy.Matrix([sympy.sqrt(x**2 + z**2)])\n", + "\n", + "state = sympy.Matrix([x, y, z])\n", + "H.jacobian(state)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's compute the discrete process noise matrix $\\mathbf{Q}_k$ given the continuous process noise matrix \n", + "$$\\mathbf{Q} = \\Phi_s \\begin{bmatrix}0&0&0\\\\0&0&0\\\\0&0&1\\end{bmatrix}$$\n", + "\n", + "and the equation\n", + "\n", + "$$\\mathbf{Q} = \\int_0^{\\Delta t} \\Phi(t)\\mathbf{Q}\\Phi^T(t) dt$$\n", + "\n", + "where \n", + "$$\\Phi(t) = \\begin{bmatrix}1 & \\Delta t & {\\Delta t}^2/2 \\\\ 0 & 1 & \\Delta t\\\\ 0& 0& 1\\end{bmatrix}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/latex": [ + "$$\\left[\\begin{matrix}\\frac{\\Delta{t}^{5}}{20} & \\frac{\\Delta{t}^{4}}{8} & \\frac{\\Delta{t}^{3}}{6}\\\\\\frac{\\Delta{t}^{4}}{8} & \\frac{\\Delta{t}^{3}}{3} & \\frac{\\Delta{t}^{2}}{2}\\\\\\frac{\\Delta{t}^{3}}{6} & \\frac{\\Delta{t}^{2}}{2} & \\Delta{t}\\end{matrix}\\right]$$" + ], + "text/plain": [ + "⎡ 5 4 3⎤\n", + "⎢\\Delta{t} \\Delta{t} \\Delta{t} ⎥\n", + "⎢────────── ────────── ──────────⎥\n", + "⎢ 20 8 6 ⎥\n", + "⎢ ⎥\n", + "⎢ 4 3 2⎥\n", + "⎢\\Delta{t} \\Delta{t} \\Delta{t} ⎥\n", + "⎢────────── ────────── ──────────⎥\n", + "⎢ 8 3 2 ⎥\n", + "⎢ ⎥\n", + "⎢ 3 2 ⎥\n", + "⎢\\Delta{t} \\Delta{t} ⎥\n", + "⎢────────── ────────── \\Delta{t} ⎥\n", + "⎣ 6 2 ⎦" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dt = sympy.symbols('\\Delta{t}')\n", + "F_k = sympy.Matrix([[1, dt, dt**2/2],\n", + " [0, 1, dt],\n", + " [0, 0, 1]])\n", + "Q = sympy.Matrix([[0,0,0],\n", + " [0,0,0],\n", + " [0,0,1]])\n", + "\n", + "sympy.integrate(F_k*Q*F_k.T,(dt, 0, dt))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.4.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Appendix_C_Walking_Through_KF_Code.ipynb b/Appendix_C_Walking_Through_KF_Code.ipynb new file mode 100644 index 0000000..71b8e0c --- /dev/null +++ b/Appendix_C_Walking_Through_KF_Code.ipynb @@ -0,0 +1,476 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Table of Contents](http://nbviewer.ipython.org/github/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/table_of_contents.ipynb)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Walking through the Kalman Filter code" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#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()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "** author's note: this code is somewhat old. This section needs to be edited; I would not pay a lot of attention to it right now. **\n", + "\n", + "The kalman filter code that we are using is implemented in my Python library `FilterPy`. If you are interested in the full implementation of the filter you should look in `filterpy\\kalman\\kalman_filter.py`. In the following I will present a simplified implementation of the same code. The code in the library handles issues that are beyond the scope of this chapter, such as numerical stability and support for the extended Kalman filter, subject of a later chapter. \n", + "\n", + "The code is implemented as the class `KalmanFilter`. Some Python programmers are not a fan of object oriented (OO) Python, and eschew classes. I do not intend to enter into that battle other than to say that I have often seen OO abused. Here I use the class to encapsulate the data that is pertinent to the filter so that you do not have to store and pass around a half dozen variables everywhere.\n", + "\n", + "The method `__init__()` is used by Python to create the object. Here is the method \n", + "\n", + " def __init__(self, dim_x, dim_z):\n", + " \"\"\" Create a Kalman filter. You are responsible for setting the \n", + " various state variables to reasonable values; the defaults below will\n", + " not give you a functional filter.\n", + " \n", + " Parameters\n", + " ----------\n", + " dim_x : int\n", + " Number of state variables for the Kalman filter. For example, if\n", + " you are tracking the position and velocity of an object in two\n", + " dimensions, dim_x would be 4.\n", + " \n", + " This is used to set the default size of P, Q, and u\n", + " \n", + " dim_z : int\n", + " Number of of measurement inputs. For example, if the sensor\n", + " provides you with position in (x,y), dim_z would be 2. \n", + " \"\"\"\n", + " \n", + " self.dim_x = dim_x\n", + " self.dim_z = dim_z\n", + "\n", + " self.x = np.zeros((dim_x, 1)) # state\n", + " 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.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", + "\n", + " # identity matrix. Do not alter this.\n", + " self._I = np.eye(dim_x)\n", + "\n", + "More than anything this method exists to document for you what the variable names are in the filter. To do anything useful with this filter you will have to modify most of these values. Some are set to useful values. For example, `R` is set to an identity matrix; if you want the diagonals of `R` to be 10. you may write (as we did earlier in this chapter) `my_filter.R += 10.`.\n", + "\n", + "The names used for each variable matches the math symbology used in this chapter. Thus, `self.P` is the covariance matrix, `self.x` is the state, and so on.\n", + "\n", + "The predict function implements the predict step of the Kalman equations, which are \n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "\\mathbf{x}^- &= \\mathbf{F x} + \\mathbf{B u} \\\\\n", + "\\mathbf{P}^- &= \\mathbf{FP{F}}^\\mathsf{T} + \\mathbf{Q} \n", + "\\end{aligned}\n", + "$$\n", + "\n", + "The corresponding code is\n", + "\n", + " def predict(self): \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 multiplication 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 multiplication far more often than element-wise multiplication. 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", + "\n", + "With that in mind, the Python code `self.F.dot(self.x)` implements the math expression $\\mathbf{F x}$.\n", + "\n", + "NumPy's `array` implements matrix transposition by using the `.T` property. Therefore, `F.T` is the python implementation of $\\mathbf{F}^\\mathsf{T}$.\n", + "\n", + "The `update()` method implements the update equations of the Kalman filter, which are\n", + "\n", + "$$\n", + "\\begin{aligned}\n", + "\\mathbf{y} &= \\mathbf{z} - \\mathbf{H}\\mathbf{x^-} \\\\\n", + "\\mathbf{K} &= \\mathbf{P} \\mathbf{H}^\\mathsf{T} (\\mathbf{H} \\mathbf{P^-} \\mathbf{H}^\\mathsf{T} +\\mathbf{R})^{-1} \\\\\n", + "\\mathbf{x} &= \\mathbf{x}^- + \\mathbf{K} \\mathbf{y} \\\\\n", + "\\mathbf{P} &= (\\mathbf{I} - \\mathbf{K} \\mathbf{H})\\mathbf{P^-}\n", + "\\end{aligned}\n", + "$$\n", + "\n", + "The corresponding code is:\n", + "\n", + " def update(self, Z, R=None):\n", + " \"\"\"\n", + " Add a new measurement (Z) to the kalman filter. If Z is None, nothing\n", + " is changed.\n", + "\n", + " Optionally provide R to override the measurement noise for this\n", + " one call, otherwise self.R will be used.\n", + "\n", + " self.residual, self.S, and self.K are stored in case you want to\n", + " inspect these variables. Strictly speaking they are not part of the\n", + " output of the Kalman filter, however, it is often useful to know\n", + " what these values are in various scenarios.\n", + " \"\"\"\n", + "\n", + " if Z is None:\n", + " return\n", + "\n", + " if R is None:\n", + " R = self.R\n", + " elif np.isscalar(R):\n", + " R = np.eye(self.dim_z) * R\n", + "\n", + " # error (residual) between measurement and prediction\n", + " self.residual = Z - self.H.dot(self.x)\n", + "\n", + " # project system uncertainty into measurement space\n", + " self.S = self.H.dot(self.P).dot(self.H.T) + R\n", + "\n", + " # map system uncertainty into kalman gain\n", + " self.K = self.P.dot(self.H.T).dot(linalg.inv(self.S))\n", + "\n", + " # predict new x with residual scaled by the kalman gain\n", + " self.x += self.K.dot(self.residual)\n", + "\n", + " KH = self.K.dot(self.H)\n", + " I_KH = self._I - KH\n", + " self.P = (I_KH.dot(self.P.dot(I_KH.T)) +\n", + " self.K.dot(self.R.dot(self.K.T)))\n", + "\n", + "There are a few more complications in this piece of code compared to `predict()` but it should still be quite clear. \n", + "\n", + "The first complication are the lines:\n", + "\n", + " if Z is None:\n", + " return\n", + " \n", + "This just lets you deal with missing data in a natural way. It is typical to use `None` to indicate the absence of data. If there is no data for an update we skip the update equations. This bit of code means you can write something like:\n", + "\n", + " z = read_sensor() # may return None if no data\n", + " my_kf.update(z)\n", + " \n", + "instead of:\n", + " z = read_sensor()\n", + " if z is not None:\n", + " my_kf.update(z)\n", + " \n", + "Reasonable people will argue whether my choice is cleaner, or obscures the fact that we do not update if the measurement is `None`. Having written a lot of avionics code my proclivity is always to do the safe thing. If we pass 'None' into the function I do not want an exception to occur; instead, I want the reasonable thing to happen, which is to just return without doing anything. If you feel that my choice obscures that fact, go ahead and write the explicit `if` statement prior to calling `update()` and get the best of both worlds.\n", + "\n", + "The next bit of code lets you optionally pass in a value to override `R`. It is common for the sensor noise to vary over time; if it does you can pass in the value as the optional parameter `R`.\n", + "\n", + " if R is None:\n", + " R = self.R\n", + " elif np.isscalar(R):\n", + " R = np.eye(self.dim_z) * R\n", + " \n", + "This code will use self.R if you do not provide a value for `R`. If you did provide a value, it will check if you provided a scalar (number); if so it constructs a matrix of the correct dimension for you. Otherwise it assumes that you passed in a matrix of the correct dimension.\n", + "\n", + "The rest of the code implements the Kalman filter equations, with one exception. Instead of implementing \n", + "\n", + "$$\\mathbf{P} = (\\mathbf{I} - \\mathbf{KH})\\mathbf{P}^-$$\n", + "\n", + "it implements the somewhat more complicated form \n", + "\n", + "$$\\mathbf{P} = (\\mathbf{I} - \\mathbf{KH})\\mathbf{P}^-(\\mathbf{I} - \\mathbf{KH})^\\mathsf{T} + \\mathbf{KRK}^\\mathsf{T}$$.\n", + "\n", + "The reason for this altered equation is that it is more numerically stable than the former equation, at the cost of being a bit more expensive to compute. It is not always possible to find the optimal value for $\\text{K}$, in which case the former equation will not produce good results because it assumes optimality. The longer reformulation used in the code is derived from more general math that does not assume optimality, and hence provides good results for non-optimal filters (such as when we can not correctly model our measurement error).\n", + "\n", + "Various texts differ as to whether this form of the equation should always be used, or only used when you know you need it. I choose to expend a bit more processing power to ensure stability; if your hardware is very constrained and you are able to prove that the simpler equation is correct for your problem then you might choose to use it instead. Personally, I find that a risky approach and do not recommend it to non-experts. Brown's *Introduction to Random Signals and Applied Kalman Filtering* [3] discusses this issue in some detail, if you are interested." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.4.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/code/mkf_internal.py b/code/mkf_internal.py index 15a6890..fa9b5b6 100644 --- a/code/mkf_internal.py +++ b/code/mkf_internal.py @@ -1,297 +1,340 @@ -# -*- coding: utf-8 -*- -""" -Created on Thu May 1 16:56:49 2014 - -@author: rlabbe -""" -import numpy as np -from matplotlib.patches import Ellipse -import matplotlib.pyplot as plt -from matplotlib import cm -from mpl_toolkits.mplot3d import Axes3D -from numpy.random import multivariate_normal -import stats - -def show_residual_chart(): - plt.xlim([0.9,2.5]) - plt.ylim([1.5,3.5]) - - plt.scatter ([1,2,2],[2,3,2.3]) - plt.scatter ([2],[2.8],marker='o') - ax = plt.axes() - ax.annotate('', xy=(2,3), xytext=(1,2), - arrowprops=dict(arrowstyle='->', ec='#004080', - lw=2, - shrinkA=3, shrinkB=4)) - ax.annotate('prediction', xy=(2.04,3.), color='#004080') - 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='#e24a33') - 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=(2,3), xytext=(2,2.3), - arrowprops=dict(arrowstyle="-", - ec="#e24a33", - lw=2, - shrinkA=5, shrinkB=5)) - plt.title("Kalman Filter Predict and Update") - plt.axis('equal') - plt.show() - - -def show_position_chart(): - """ Displays 3 measurements at t=1,2,3, with x=1,2,3""" - - plt.scatter ([1,2,3], [1,2,3], s=128, color='#004080') - plt.xlim([0,4]); - plt.ylim([0,4]) - - plt.annotate('t=1', xy=(1,1), xytext=(0,-10), - textcoords='offset points', ha='center', va='top') - - plt.annotate('t=2', xy=(2,2), xytext=(0,-10), - textcoords='offset points', ha='center', va='top') - - plt.annotate('t=3', xy=(3,3), xytext=(0,-10), - textcoords='offset points', ha='center', va='top') - - plt.xlabel("X") - plt.ylabel("Y") - - plt.xticks(np.arange(1,4,1)) - plt.yticks(np.arange(1,4,1)) - plt.show() - - -def show_position_prediction_chart(): - """ displays 3 measurements, with the next position predicted""" - - plt.scatter ([1,2,3], [1,2,3], s=128, color='#004080') - - plt.annotate('t=1', xy=(1,1), xytext=(0,-10), - textcoords='offset points', ha='center', va='top') - - plt.annotate('t=2', xy=(2,2), xytext=(0,-10), - textcoords='offset points', ha='center', va='top') - - plt.annotate('t=3', xy=(3,3), xytext=(0,-10), - textcoords='offset points', ha='center', va='top') - - plt.xlim([0,5]) - plt.ylim([0,5]) - - plt.xlabel("Position") - plt.ylabel("Time") - - plt.xticks(np.arange(1,5,1)) - plt.yticks(np.arange(1,5,1)) - - plt.scatter ([4], [4], c='g',s=128, color='#8EBA42') - ax = plt.axes() - ax.annotate('', xy=(4,4), xytext=(3,3), - arrowprops=dict(arrowstyle='->', - ec='g', - shrinkA=6, shrinkB=5, - lw=3)) - plt.show() - - -def show_x_error_chart(count): - """ displays x=123 with covariances showing error""" - - plt.cla() - plt.gca().autoscale(tight=True) - - cov = np.array([[0.03,0], [0,8]]) - e = stats.covariance_ellipse (cov) - - cov2 = np.array([[0.03,0], [0,4]]) - e2 = stats.covariance_ellipse (cov2) - - cov3 = np.array([[12,11.95], [11.95,12]]) - e3 = stats.covariance_ellipse (cov3) - - - sigma=[1, 4, 9] - - if count >= 1: - stats.plot_covariance_ellipse ((0,0), ellipse=e, variance=sigma) - - if count == 2 or count == 3: - - stats.plot_covariance_ellipse ((5,5), ellipse=e, variance=sigma) - - if count == 3: - - stats.plot_covariance_ellipse ((5,5), ellipse=e3, variance=sigma, - edgecolor='r') - - if count == 4: - M1 = np.array([[5, 5]]).T - m4, cov4 = stats.multivariate_multiply(M1, cov2, M1, cov3) - e4 = stats.covariance_ellipse (cov4) - - stats.plot_covariance_ellipse ((5,5), ellipse=e, variance=sigma, - alpha=0.25) - - stats.plot_covariance_ellipse ((5,5), ellipse=e3, variance=sigma, - edgecolor='r', alpha=0.25) - stats.plot_covariance_ellipse (m4[:,0], ellipse=e4, variance=sigma) - - #plt.ylim([0,11]) - #plt.xticks(np.arange(1,4,1)) - - plt.xlabel("Position") - plt.ylabel("Velocity") - - plt.show() - - -def show_x_with_unobserved(): - """ shows x=1,2,3 with velocity superimposed on top """ - - # plot velocity - sigma=[0.5,1.,1.5,2] - cov = np.array([[1,1],[1,1.1]]) - stats.plot_covariance_ellipse ((2,2), cov=cov, variance=sigma, axis_equal=False) - - # plot positions - cov = np.array([[0.003,0], [0,12]]) - sigma=[0.5,1.,1.5,2] - e = stats.covariance_ellipse (cov) - - stats.plot_covariance_ellipse ((1,1), ellipse=e, variance=sigma, axis_equal=False) - stats.plot_covariance_ellipse ((2,1), ellipse=e, variance=sigma, axis_equal=False) - stats.plot_covariance_ellipse ((3,1), ellipse=e, variance=sigma, axis_equal=False) - - # plot intersection cirle - isct = Ellipse(xy=(2,2), width=.2, height=1.2, edgecolor='r', fc='None', lw=4) - plt.gca().add_artist(isct) - - plt.ylim([0,11]) - plt.xlim([0,4]) - plt.xticks(np.arange(1,4,1)) - - plt.xlabel("Position") - plt.ylabel("Time") - - plt.show() - - - -def plot_3d_covariance(mean, cov): - """ plots a 2x2 covariance matrix positioned at mean. mean will be plotted - in x and y, and the probability in the z axis. - - Parameters - ---------- - mean : 2x1 tuple-like object - mean for x and y coordinates. For example (2.3, 7.5) - - cov : 2x2 nd.array - the covariance matrix - - """ - - # compute width and height of covariance ellipse so we can choose - # appropriate ranges for x and y - o,w,h = stats.covariance_ellipse(cov,3) - # rotate width and height to x,y axis - wx = abs(w*np.cos(o) + h*np.sin(o))*1.2 - wy = abs(h*np.cos(o) - w*np.sin(o))*1.2 - - - # ensure axis are of the same size so everything is plotted with the same - # scale - if wx > wy: - w = wx - else: - w = wy - - minx = mean[0] - w - maxx = mean[0] + w - miny = mean[1] - w - maxy = mean[1] + w - - xs = np.arange(minx, maxx, (maxx-minx)/40.) - ys = np.arange(miny, maxy, (maxy-miny)/40.) - xv, yv = np.meshgrid (xs, ys) - - zs = np.array([100.* stats.multivariate_gaussian(np.array([x,y]),mean,cov) \ - for x,y in zip(np.ravel(xv), np.ravel(yv))]) - zv = zs.reshape(xv.shape) - - ax = plt.figure().add_subplot(111, projection='3d') - ax.plot_surface(xv, yv, zv, rstride=1, cstride=1, cmap=cm.autumn) - - ax.set_xlabel('X') - ax.set_ylabel('Y') - - ax.contour(xv, yv, zv, zdir='x', offset=minx-1, cmap=cm.autumn) - ax.contour(xv, yv, zv, zdir='y', offset=maxy, cmap=cm.BuGn) - - -def plot_3d_sampled_covariance(mean, cov): - """ plots a 2x2 covariance matrix positioned at mean. mean will be plotted - in x and y, and the probability in the z axis. - - Parameters - ---------- - mean : 2x1 tuple-like object - mean for x and y coordinates. For example (2.3, 7.5) - - cov : 2x2 nd.array - the covariance matrix - - """ - - # compute width and height of covariance ellipse so we can choose - # appropriate ranges for x and y - o,w,h = stats.covariance_ellipse(cov,3) - # rotate width and height to x,y axis - wx = abs(w*np.cos(o) + h*np.sin(o))*1.2 - wy = abs(h*np.cos(o) - w*np.sin(o))*1.2 - - - # ensure axis are of the same size so everything is plotted with the same - # scale - if wx > wy: - w = wx - else: - w = wy - - minx = mean[0] - w - maxx = mean[0] + w - miny = mean[1] - w - maxy = mean[1] + w - - count = 1000 - x,y = multivariate_normal(mean=mean, cov=cov, size=count).T - - xs = np.arange(minx, maxx, (maxx-minx)/40.) - ys = np.arange(miny, maxy, (maxy-miny)/40.) - xv, yv = np.meshgrid (xs, ys) - - zs = np.array([100.* stats.multivariate_gaussian(np.array([xx,yy]),mean,cov) \ - for xx,yy in zip(np.ravel(xv), np.ravel(yv))]) - zv = zs.reshape(xv.shape) - - ax = plt.figure().add_subplot(111, projection='3d') - ax.scatter(x,y, [0]*count, marker='.') - - ax.set_xlabel('X') - ax.set_ylabel('Y') - - ax.contour(xv, yv, zv, zdir='x', offset=minx-1, cmap=cm.autumn) - ax.contour(xv, yv, zv, zdir='y', offset=maxy, cmap=cm.BuGn) - - -if __name__ == "__main__": - #show_position_chart() - #plot_3d_covariance((2,7), np.array([[8.,0],[0,4.]])) - #plot_3d_sampled_covariance([2,7], [[8.,0],[0,4.]]) - #show_residual_chart() - - #show_position_chart() - show_x_error_chart(4) - +# -*- coding: utf-8 -*- +""" +Created on Thu May 1 16:56:49 2014 + +@author: rlabbe +""" +import numpy as np +from matplotlib.patches import Ellipse +import matplotlib.pyplot as plt +from matplotlib import cm +from mpl_toolkits.mplot3d import Axes3D +from numpy.random import multivariate_normal +import stats + +def show_residual_chart(): + plt.xlim([0.9,2.5]) + plt.ylim([1.5,3.5]) + + plt.scatter ([1,2,2],[2,3,2.3]) + plt.scatter ([2],[2.8],marker='o') + ax = plt.axes() + ax.annotate('', xy=(2,3), xytext=(1,2), + arrowprops=dict(arrowstyle='->', ec='#004080', + lw=2, + shrinkA=3, shrinkB=4)) + ax.annotate('prediction', xy=(2.04,3.), color='#004080') + 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='#e24a33') + 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=(2,3), xytext=(2,2.3), + arrowprops=dict(arrowstyle="-", + ec="#e24a33", + lw=2, + shrinkA=5, shrinkB=5)) + plt.title("Kalman Filter Predict and Update") + plt.axis('equal') + plt.show() + + +def show_position_chart(): + """ Displays 3 measurements at t=1,2,3, with x=1,2,3""" + + plt.scatter ([1,2,3], [1,2,3], s=128, color='#004080') + plt.xlim([0,4]); + plt.ylim([0,4]) + + plt.annotate('t=1', xy=(1,1), xytext=(0,-10), + textcoords='offset points', ha='center', va='top') + + plt.annotate('t=2', xy=(2,2), xytext=(0,-10), + textcoords='offset points', ha='center', va='top') + + plt.annotate('t=3', xy=(3,3), xytext=(0,-10), + textcoords='offset points', ha='center', va='top') + + plt.xlabel("X") + plt.ylabel("Y") + + plt.xticks(np.arange(1,4,1)) + plt.yticks(np.arange(1,4,1)) + plt.show() + + +def show_position_prediction_chart(): + """ displays 3 measurements, with the next position predicted""" + + plt.scatter ([1,2,3], [1,2,3], s=128, color='#004080') + + plt.annotate('t=1', xy=(1,1), xytext=(0,-10), + textcoords='offset points', ha='center', va='top') + + plt.annotate('t=2', xy=(2,2), xytext=(0,-10), + textcoords='offset points', ha='center', va='top') + + plt.annotate('t=3', xy=(3,3), xytext=(0,-10), + textcoords='offset points', ha='center', va='top') + + plt.xlim([0,5]) + plt.ylim([0,5]) + + plt.xlabel("Position") + plt.ylabel("Time") + + plt.xticks(np.arange(1,5,1)) + plt.yticks(np.arange(1,5,1)) + + plt.scatter ([4], [4], c='g',s=128, color='#8EBA42') + ax = plt.axes() + ax.annotate('', xy=(4,4), xytext=(3,3), + arrowprops=dict(arrowstyle='->', + ec='g', + shrinkA=6, shrinkB=5, + lw=3)) + plt.show() + + +def show_x_error_chart(count): + """ displays x=123 with covariances showing error""" + + plt.cla() + plt.gca().autoscale(tight=True) + + cov = np.array([[0.03,0], [0,8]]) + e = stats.covariance_ellipse (cov) + + cov2 = np.array([[0.03,0], [0,4]]) + e2 = stats.covariance_ellipse (cov2) + + cov3 = np.array([[12,11.95], [11.95,12]]) + e3 = stats.covariance_ellipse (cov3) + + + sigma=[1, 4, 9] + + if count >= 1: + stats.plot_covariance_ellipse ((0,0), ellipse=e, variance=sigma) + + if count == 2 or count == 3: + + stats.plot_covariance_ellipse ((5,5), ellipse=e, variance=sigma) + + if count == 3: + + stats.plot_covariance_ellipse ((5,5), ellipse=e3, variance=sigma, + edgecolor='r') + + if count == 4: + M1 = np.array([[5, 5]]).T + m4, cov4 = stats.multivariate_multiply(M1, cov2, M1, cov3) + e4 = stats.covariance_ellipse (cov4) + + stats.plot_covariance_ellipse ((5,5), ellipse=e, variance=sigma, + alpha=0.25) + + stats.plot_covariance_ellipse ((5,5), ellipse=e3, variance=sigma, + edgecolor='r', alpha=0.25) + stats.plot_covariance_ellipse (m4[:,0], ellipse=e4, variance=sigma) + + #plt.ylim([0,11]) + #plt.xticks(np.arange(1,4,1)) + + plt.xlabel("Position") + plt.ylabel("Velocity") + + plt.show() + + +def show_x_with_unobserved(): + """ shows x=1,2,3 with velocity superimposed on top """ + + # plot velocity + sigma=[0.5,1.,1.5,2] + cov = np.array([[1,1],[1,1.1]]) + stats.plot_covariance_ellipse ((2,2), cov=cov, variance=sigma, axis_equal=False) + + # plot positions + cov = np.array([[0.003,0], [0,12]]) + sigma=[0.5,1.,1.5,2] + e = stats.covariance_ellipse (cov) + + stats.plot_covariance_ellipse ((1,1), ellipse=e, variance=sigma, axis_equal=False) + stats.plot_covariance_ellipse ((2,1), ellipse=e, variance=sigma, axis_equal=False) + stats.plot_covariance_ellipse ((3,1), ellipse=e, variance=sigma, axis_equal=False) + + # plot intersection cirle + isct = Ellipse(xy=(2,2), width=.2, height=1.2, edgecolor='r', fc='None', lw=4) + plt.gca().add_artist(isct) + + plt.ylim([0,11]) + plt.xlim([0,4]) + plt.xticks(np.arange(1,4,1)) + + plt.xlabel("Position") + plt.ylabel("Time") + + plt.show() + + + +def plot_3d_covariance(mean, cov): + """ plots a 2x2 covariance matrix positioned at mean. mean will be plotted + in x and y, and the probability in the z axis. + + Parameters + ---------- + mean : 2x1 tuple-like object + mean for x and y coordinates. For example (2.3, 7.5) + + cov : 2x2 nd.array + the covariance matrix + + """ + + # compute width and height of covariance ellipse so we can choose + # appropriate ranges for x and y + o,w,h = stats.covariance_ellipse(cov,3) + # rotate width and height to x,y axis + wx = abs(w*np.cos(o) + h*np.sin(o))*1.2 + wy = abs(h*np.cos(o) - w*np.sin(o))*1.2 + + + # ensure axis are of the same size so everything is plotted with the same + # scale + if wx > wy: + w = wx + else: + w = wy + + minx = mean[0] - w + maxx = mean[0] + w + miny = mean[1] - w + maxy = mean[1] + w + + xs = np.arange(minx, maxx, (maxx-minx)/40.) + ys = np.arange(miny, maxy, (maxy-miny)/40.) + xv, yv = np.meshgrid (xs, ys) + + zs = np.array([100.* stats.multivariate_gaussian(np.array([x,y]),mean,cov) \ + for x,y in zip(np.ravel(xv), np.ravel(yv))]) + zv = zs.reshape(xv.shape) + + ax = plt.figure().add_subplot(111, projection='3d') + ax.plot_surface(xv, yv, zv, rstride=1, cstride=1, cmap=cm.autumn) + + ax.set_xlabel('X') + ax.set_ylabel('Y') + + ax.contour(xv, yv, zv, zdir='x', offset=minx-1, cmap=cm.autumn) + ax.contour(xv, yv, zv, zdir='y', offset=maxy, cmap=cm.BuGn) + + +def plot_3d_sampled_covariance(mean, cov): + """ plots a 2x2 covariance matrix positioned at mean. mean will be plotted + in x and y, and the probability in the z axis. + + Parameters + ---------- + mean : 2x1 tuple-like object + mean for x and y coordinates. For example (2.3, 7.5) + + cov : 2x2 nd.array + the covariance matrix + + """ + + # compute width and height of covariance ellipse so we can choose + # appropriate ranges for x and y + o,w,h = stats.covariance_ellipse(cov,3) + # rotate width and height to x,y axis + wx = abs(w*np.cos(o) + h*np.sin(o))*1.2 + wy = abs(h*np.cos(o) - w*np.sin(o))*1.2 + + + # ensure axis are of the same size so everything is plotted with the same + # scale + if wx > wy: + w = wx + else: + w = wy + + minx = mean[0] - w + maxx = mean[0] + w + miny = mean[1] - w + maxy = mean[1] + w + + count = 1000 + x,y = multivariate_normal(mean=mean, cov=cov, size=count).T + + xs = np.arange(minx, maxx, (maxx-minx)/40.) + ys = np.arange(miny, maxy, (maxy-miny)/40.) + xv, yv = np.meshgrid (xs, ys) + + zs = np.array([100.* stats.multivariate_gaussian(np.array([xx,yy]),mean,cov) \ + for xx,yy in zip(np.ravel(xv), np.ravel(yv))]) + zv = zs.reshape(xv.shape) + + ax = plt.figure().add_subplot(111, projection='3d') + ax.scatter(x,y, [0]*count, marker='.') + + ax.set_xlabel('X') + ax.set_ylabel('Y') + + ax.contour(xv, yv, zv, zdir='x', offset=minx-1, cmap=cm.autumn) + ax.contour(xv, yv, zv, zdir='y', offset=maxy, cmap=cm.BuGn) + + +from filterpy.common import plot_covariance_ellipse +def plot_3_covariances(): + + P = [[2, 0], [0, 2]] + plt.subplot(131) + plot_covariance_ellipse((2, 7), cov=P, facecolor='g', alpha=0.2, + title='|2 0|\n|0 2|', axis_equal=False) + plt.ylim((4, 10)) + plt.gca().set_aspect('equal', adjustable='box') + + plt.subplot(132) + P = [[2, 0], [0, 9]] + plt.ylim((4, 10)) + plt.gca().set_aspect('equal', adjustable='box') + plot_covariance_ellipse((2, 7), P, facecolor='g', alpha=0.2, + axis_equal=False, title='|2 0|\n|0 9|') + + plt.subplot(133) + P = [[2, 1.2], [1.2, 2]] + plt.ylim((4, 10)) + plt.gca().set_aspect('equal', adjustable='box') + plot_covariance_ellipse((2, 7), P, facecolor='g', alpha=0.2, + axis_equal=False, + title='|2 1.2|\n|1.2 2|') + + plt.tight_layout() + plt.show() + + +def plot_correlation_covariance(): + P = [[4, 3.9], [3.9, 4]] + plot_covariance_ellipse((5, 10), P, edgecolor='k', + variance=[1, 2**2, 3**2]) + plt.xlabel('X') + plt.ylabel('Y') + plt.gca().autoscale(tight=True) + plt.axvline(7.5, ls='--', lw=1) + plt.axhline(12.5, ls='--', lw=1) + plt.scatter(7.5, 12.5, s=2000, alpha=0.5) + plt.title('|4.0 3.9|\n|3.9 4.0|') + plt.show() + + +if __name__ == "__main__": + #show_position_chart() + #plot_3d_covariance((2,7), np.array([[8.,0],[0,4.]])) + #plot_3d_sampled_covariance([2,7], [[8.,0],[0,4.]]) + #show_residual_chart() + + #show_position_chart() + show_x_error_chart(4) + diff --git a/code/particle_filter.py b/code/particle_filter.py new file mode 100644 index 0000000..1a65226 --- /dev/null +++ b/code/particle_filter.py @@ -0,0 +1,183 @@ +# -*- coding: utf-8 -*- +""" +Created on Sat May 2 09:46:06 2015 + +@author: Roger +""" + +import math +import numpy as np +from numpy.random import uniform +from numpy.random import randn +import scipy.stats +import matplotlib.pyplot as plt +import random + + +class ParticleFilter(object): + + def __init__(self, N, x_range, y_range): + self.particles = np.zeros((N, 4)) + self.N = N + self.x_range = x_range + self.y_range = y_range + + # assign + self.weights = np.array([1./N] * N) + self.particles[:, 0] = uniform(0, x_range, size=N) + self.particles[:, 1] = uniform(0, y_range, size=N) + self.particles[:, 3] = uniform(0, 2*np.pi, size=N) + + + + def create_particles(self, mu, var): + self.particles[:, 0] = mu[0] + randn(self.N)* np.sqrt(var) + self.particles[:, 1] = mu[1] + randn(self.N)* np.sqrt(var) + + def create_particle(self): + return [uniform(0, self.x_range), uniform(0, self.y_range), 0, 0] + + + def assign_speed_by_gaussian(self, speed, var): + """ move every particle by the specified speed (assuming time=1.) + with the specified variance, assuming Gaussian distribution. """ + + self.particles[:, 2] = np.random.normal(speed, var, self.N) + + def control(self, dx): + self.particles[:, 0] += dx[0] + self.particles[:, 1] += dx[1] + + + def move(self, h, v, t=1.): + """ move the particles according to their speed and direction for the + specified time duration t""" + h = math.atan2(h[1], h[0]) + h = randn(self.N) * .4 + h + vs = v + randn(self.N) * 0.1 + vx = v * np.cos(h) + vy = v * np.sin(h) + + + #vx = self.particles[:, 2] * np.cos(self.particles[:, 3]) + randn(self.N)*0.5 + #vy = self.particles[:, 2] * np.sin(self.particles[:, 3]) + randn(self.N)*0.5 + self.particles[:, 0] = (self.particles[:, 0] + vx*t) + self.particles[:, 1] = (self.particles[:, 1] + vy*t) + + + def move2(self, u): + dx = u[0] + randn(self.N) * 1.9 + dy = u[1] + randn(self.N) * 1.9 + self.particles[:, 0] = (self.particles[:, 0] + dx) + self.particles[:, 1] = (self.particles[:, 1] + dy) + + + def weight(self, z, var): + dist = np.sqrt((self.particles[:, 0] - z[0])**2 + + (self.particles[:, 1] - z[1])**2) + + # simplification assumes variance is invariant to world projection + n = scipy.stats.norm(0, np.sqrt(var)) + prob = n.pdf(dist) + + # particles far from a measurement will give us 0.0 for a probability + # due to floating point limits. Once we hit zero we can never recover, + # so add some small nonzero value to all points. + prob += 1.e-12 + self.weights *= prob + self.weights /= sum(self.weights) # normalize + + def neff(self): + return 1. / np.sum(np.square(self.weights)) + + def resample(self): + + p = np.zeros((self.N, 4)) + w = np.zeros(self.N) + + cumsum = np.cumsum(self.weights) + for i in range(self.N): + index = np.searchsorted(cumsum, random.random()) + p[i] = self.particles[index] + w[i] = self.weights[index] + + self.particles = p + self.weights = w / np.sum(w) + + def estimate(self): + """ returns mean and variance """ + pos = self.particles[:, 0:2] + mu = np.average(pos, weights=self.weights, axis=0) + var = np.average((pos - mu)**2, weights=self.weights, axis=0) + + return mu, var + + +def plot(pf, xlim=100, ylim=100, weights=True): + + if weights: + a = plt.subplot(221) + a.cla() + plt.xlim(0, ylim) + plt.ylim(0, 1) + plt.scatter(pf.particles[:, 0], pf.weights, marker='.', s=1) + a = plt.subplot(224) + a.cla() + plt.scatter(pf.weights, pf.particles[:, 1], marker='.', s=1) + plt.ylim(0, xlim) + plt.xlim(0, 1) + + a = plt.subplot(223) + a.cla() + else: + plt.cla() + plt.scatter(pf.particles[:, 0], pf.particles[:, 1], marker='.', s=1) + plt.xlim(0, xlim) + plt.ylim(0, ylim) + + + + +if __name__ == '__main__': + pf = ParticleFilter(5000, 100, 100) + pf.particles[:,3] = np.random.randn(pf.N)*np.radians(10) + np.radians(45) + + z = np.array([20, 20]) + pf.create_particles(z, 40) + + mu0 = np.array([0., 0.]) + + for x in range(60): + + z[0] += 1.0 + randn()*0.3 + z[1] += 1.0 + randn()*0.3 + + + pf.move2((1,1)) + pf.weight(z, 5.2) +# pf.weight((z[0] + randn()*0.2, z[1] + randn()*0.2), 5.2) + pf.resample() + mu, var = pf.estimate() + if x == 0: + mu0 = mu + print(mu - z) + print('neff', pf.neff()) + #print(var) + + plot(pf, weights=False) + plt.scatter(z[0], z[1], c='r', s=40) + + plt.scatter(mu[0], mu[1], c='g', s=100)#, + #s=min(500, abs((1./np.sum(var)))*20), alpha=0.5) + plt.tight_layout() + plt.pause(.02) + + #pf.assign_speed_by_gaussian(1, 1.5) + #pf.move(h=[1,1], v=1.4, t=1) + #pf.control(mu-mu0) + mu0 = mu + + + + + diff --git a/table_of_contents.ipynb b/table_of_contents.ipynb index 0bb13e4..5af597d 100644 --- a/table_of_contents.ipynb +++ b/table_of_contents.ipynb @@ -1,153 +1,157 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "

Kalman and Bayesian Filters in Python

\n", - "

\n", - "

\n", - "Table of Contents\n", - "-----\n", - "\n", - "[**Preface**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/00_Preface.ipynb)\n", - " \n", - "Motivation behind writing the book. How to download and read the book. Requirements for IPython Notebook and Python. github links.\n", - "\n", - "\n", - "[**Chapter 1: The g-h Filter ($\\alpha$-$\\beta$ Filter)**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/01_g-h_filter.ipynb)\n", - "\n", - "Intuitive introduction to the g-h filter, also known as the $\\alpha$-$\\beta$ Filter, which is a family of filters that includes the Kalman filter. Once you understand this chapter you will understand the concepts behind the Kalman filter. \n", - "\n", - "\n", - "[**Chapter 2: The Discrete Bayes Filter**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/02_Discrete_Bayes.ipynb)\n", - "\n", - "Introduces the discrete Bayes filter. From this you will learn the probabilistic (Bayesian) reasoning that underpins the Kalman filter in an easy to digest form.\n", - "\n", - "\n", - "[**Chapter 3: Least Squares Filter**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/03_Least_Squares_Filters.ipynb)\n", - "\n", - "Introduces the least squares filter in batch and recursive forms. I've not made a start on authoring this yet. Many authors develop KF explanations by covering least squares first. I am not, so I may move this chapter deeper in the book, or remove it.\n", - "\n", - "\n", - "[**Chapter 4: Gaussian Probabilities**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/04_Gaussians.ipynb)\n", - "\n", - "Introduces using Gaussians to represent beliefs in the Bayesian sense. Gaussians allow us to implement the algorithms used in the discrete Bayes filter to work in continuous domains.\n", - "\n", - "\n", - "[**Chapter 5: One Dimensional Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/05_Kalman_Filters.ipynb)\n", - "\n", - "Implements a Kalman filter by modifying the discrete Bayes filter to use Gaussians. This is a full featured Kalman filter, albeit only useful for 1D problems. \n", - "\n", - "\n", - "[**Chapter 6: Multivariate Kalman Filter**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/06_Multivariate_Kalman_Filters.ipynb)\n", - "\n", - "We extend the Kalman filter developed in the previous chapter to the full, generalized filter for linear problems. After reading this you will understand how a Kalman filter works and how to design and implement one for a (linear) problem of your choice.\n", - "\n", - "\n", - "[**Chapter 7: Kalman Filter Math**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/07_Kalman_Filter_Math.ipynb)\n", - "\n", - "We gotten about as far as we can without forming a strong mathematical foundation. This chapter is optional, especially the first time, but if you intend to write robust, numerically stable filters, or to read the literature, you will need to know the material in this chapter. Some sections will be required to understand the later chapters on nonlinear filtering. \n", - "\n", - "\n", - "[**Chapter 8: Designing Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/08_Designing_Kalman_Filters.ipynb)\n", - "\n", - "Building on material in Chapter 6, walks you through the design of several Kalman filters. Only by seeing several different examples can you really grasp all of the theory. Examples are chosen to be realistic, not 'toy' problems to give you a start towards implementing your own filters. Discusses, but does not solve issues like numerical stability.\n", - "\n", - "\n", - "[**Chapter 9: Nonlinear Filtering**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/09_Nonlinear_Filtering.ipynb)\n", - "\n", - "Kalman filters as covered only work for linear problems. Yet the world is nonlinear. Here I introduce the problems that nonlinear systems pose to the filter, and briefly discuss the various algorithms that we will be learning in subsequent chapters.\n", - "\n", - "\n", - "[**Chapter 10: Unscented Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/10_Unscented_Kalman_Filter.ipynb)\n", - "\n", - "Unscented Kalman filters (UKF) are a recent development in Kalman filter theory. They allow you to filter nonlinear problems without requiring a closed form solution like the Extended Kalman filter requires.\n", - "\n", - "This topic is typically either not mentioned, or glossed over in existing texts, with Extended Kalman filters receiving the bulk of discussion. I put it first because the UKF is much simpler to understand, implement, and the filtering performance is usually as good as or better then the Extended Kalman filter. I always try to implement the UKF first for real world problems, and you should also.\n", - "\n", - "\n", - "[**Chapter 11: Extended Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/11_Extended_Kalman_Filters.ipynb)\n", - "\n", - "Extended Kalman filters (EKF) are the most common approach to linearizing non-linear problems. A majority of real world Kalman filters are EKFs, so will need to understand this material to understand existing code, papers, talks, etc. \n", - "\n", - "\n", - "[**Chapter 12: Designing Nonlinear Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/12_Designing_Nonlinear_Kalman_Filters.ipynb)\n", - "\n", - "Works through some examples of the design of Kalman filters for nonlinear problems. *This is still very much a work in progress.*\n", - "\n", - "\n", - "[**Chapter 13: Particle Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/13_Particle_Filters.ipynb)\n", - " \n", - "Particle filters uses Monte Carlo techniques to filter data. They easily handle highly nonlinear and non-Gaussian systems, as well as multimodal distributions (tracking multiple objects simultaneously) at the cost of high computational requirements.\n", - "\n", - "\n", - "[**Chapter 14: Smoothing**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/14_Smoothing.ipynb)\n", - "\n", - "Kalman filters are recursive, and thus very suitable for real time filtering. However, they work extremely well for post-processing data. After all, Kalman filters are predictor-correctors, and it is easier to predict the past than the future! We discuss some common approaches.\n", - "\n", - "\n", - "[**Chapter 15: Adaptive Filtering**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/15_Adaptive_Filtering.ipynb)\n", - " \n", - "Kalman filters assume a single process model, but manuevering targets typically need to be described by several different process models. Adaptive filtering uses several techniques to allow the Kalman filter to adapt to the changing behavior of the target.\n", - "\n", - "\n", - "[**Chapter 16: H-Infinity Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/16_HInfinity_Filters.ipynb)\n", - " \n", - "Describes the $H_\\infty$ filter. \n", - "\n", - "*I have code that implements the filter, but no supporting text yet.*\n", - "\n", - "\n", - "[**Chapter 17: Ensemble Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/17_Ensemble_Kalman_Filters.ipynb)\n", - "\n", - "Discusses the ensemble Kalman Filter, which uses a Monte Carlo approach to deal with very large Kalman filter states in nonlinear systems.\n", - "\n", - "\n", - "[**Chapter XX: Numerical Stability**](not implemented)\n", - "\n", - "EKF and UKF are linear approximations of nonlinear problems. Unless programmed carefully, they are not numerically stable. We discuss some common approaches to this problem.\n", - "\n", - "*This chapter is not started. I'm likely to rearrange where this material goes - this is just a placeholder.*\n", - "\n", - "\n", - "[**Appendix: Installation, Python, NumPy, and FilterPy**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/Appendix_A_Installation.ipynb)\n", - "\n", - "Brief introduction of Python and how it is used in this book. Description of the companion\n", - "library FilterPy. \n", - " \n", - "\n", - "[**Appendix: Symbols and Notations**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/Appendix_B_Symbols_and_Notations.ipynb)\n", - "\n", - "Most books opt to use different notations and variable names for identical concepts. This is a large barrier to understanding when you are starting out. I have collected the symbols and notations used in this book, and built tables showing what notation and names are used by the major books in the field.\n", - "\n", - "*Still just a collection of notes at this point.*\n", - "\n", - "\n", - "### Github repository\n", - "http://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python\n" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.4.3" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Kalman and Bayesian Filters in Python

\n", + "

\n", + "

\n", + "Table of Contents\n", + "-----\n", + "\n", + "[**Preface**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/00_Preface.ipynb)\n", + " \n", + "Motivation behind writing the book. How to download and read the book. Requirements for IPython Notebook and Python. github links.\n", + "\n", + "\n", + "[**Chapter 1: The g-h Filter ($\\alpha$-$\\beta$ Filter)**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/01_g-h_filter.ipynb)\n", + "\n", + "Intuitive introduction to the g-h filter, also known as the $\\alpha$-$\\beta$ Filter, which is a family of filters that includes the Kalman filter. Once you understand this chapter you will understand the concepts behind the Kalman filter. \n", + "\n", + "\n", + "[**Chapter 2: The Discrete Bayes Filter**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/02_Discrete_Bayes.ipynb)\n", + "\n", + "Introduces the discrete Bayes filter. From this you will learn the probabilistic (Bayesian) reasoning that underpins the Kalman filter in an easy to digest form.\n", + "\n", + "\n", + "[**Chapter 3: Least Squares Filter**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/03_Least_Squares_Filters.ipynb)\n", + "\n", + "Introduces the least squares filter in batch and recursive forms. I've not made a start on authoring this yet. Many authors develop KF explanations by covering least squares first. I am not, so I may move this chapter deeper in the book, or remove it.\n", + "\n", + "\n", + "[**Chapter 4: Gaussian Probabilities**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/04_Gaussians.ipynb)\n", + "\n", + "Introduces using Gaussians to represent beliefs in the Bayesian sense. Gaussians allow us to implement the algorithms used in the discrete Bayes filter to work in continuous domains.\n", + "\n", + "\n", + "[**Chapter 5: One Dimensional Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/05_Kalman_Filters.ipynb)\n", + "\n", + "Implements a Kalman filter by modifying the discrete Bayes filter to use Gaussians. This is a full featured Kalman filter, albeit only useful for 1D problems. \n", + "\n", + "\n", + "[**Chapter 6: Multivariate Kalman Filter**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/06_Multivariate_Kalman_Filters.ipynb)\n", + "\n", + "We extend the Kalman filter developed in the previous chapter to the full, generalized filter for linear problems. After reading this you will understand how a Kalman filter works and how to design and implement one for a (linear) problem of your choice.\n", + "\n", + "\n", + "[**Chapter 7: Kalman Filter Math**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/07_Kalman_Filter_Math.ipynb)\n", + "\n", + "We gotten about as far as we can without forming a strong mathematical foundation. This chapter is optional, especially the first time, but if you intend to write robust, numerically stable filters, or to read the literature, you will need to know the material in this chapter. Some sections will be required to understand the later chapters on nonlinear filtering. \n", + "\n", + "\n", + "[**Chapter 8: Designing Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/08_Designing_Kalman_Filters.ipynb)\n", + "\n", + "Building on material in Chapter 6, walks you through the design of several Kalman filters. Only by seeing several different examples can you really grasp all of the theory. Examples are chosen to be realistic, not 'toy' problems to give you a start towards implementing your own filters. Discusses, but does not solve issues like numerical stability.\n", + "\n", + "\n", + "[**Chapter 9: Nonlinear Filtering**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/09_Nonlinear_Filtering.ipynb)\n", + "\n", + "Kalman filters as covered only work for linear problems. Yet the world is nonlinear. Here I introduce the problems that nonlinear systems pose to the filter, and briefly discuss the various algorithms that we will be learning in subsequent chapters.\n", + "\n", + "\n", + "[**Chapter 10: Unscented Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/10_Unscented_Kalman_Filter.ipynb)\n", + "\n", + "Unscented Kalman filters (UKF) are a recent development in Kalman filter theory. They allow you to filter nonlinear problems without requiring a closed form solution like the Extended Kalman filter requires.\n", + "\n", + "This topic is typically either not mentioned, or glossed over in existing texts, with Extended Kalman filters receiving the bulk of discussion. I put it first because the UKF is much simpler to understand, implement, and the filtering performance is usually as good as or better then the Extended Kalman filter. I always try to implement the UKF first for real world problems, and you should also.\n", + "\n", + "\n", + "[**Chapter 11: Extended Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/11_Extended_Kalman_Filters.ipynb)\n", + "\n", + "Extended Kalman filters (EKF) are the most common approach to linearizing non-linear problems. A majority of real world Kalman filters are EKFs, so will need to understand this material to understand existing code, papers, talks, etc. \n", + "\n", + "\n", + "[**Chapter 12: Designing Nonlinear Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/12_Designing_Nonlinear_Kalman_Filters.ipynb)\n", + "\n", + "Works through some examples of the design of Kalman filters for nonlinear problems. *This is still very much a work in progress.*\n", + "\n", + "\n", + "[**Chapter 13: Particle Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/13_Particle_Filters.ipynb)\n", + " \n", + "Particle filters uses Monte Carlo techniques to filter data. They easily handle highly nonlinear and non-Gaussian systems, as well as multimodal distributions (tracking multiple objects simultaneously) at the cost of high computational requirements.\n", + "\n", + "\n", + "[**Chapter 14: Smoothing**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/14_Smoothing.ipynb)\n", + "\n", + "Kalman filters are recursive, and thus very suitable for real time filtering. However, they work extremely well for post-processing data. After all, Kalman filters are predictor-correctors, and it is easier to predict the past than the future! We discuss some common approaches.\n", + "\n", + "\n", + "[**Chapter 15: Adaptive Filtering**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/15_Adaptive_Filtering.ipynb)\n", + " \n", + "Kalman filters assume a single process model, but manuevering targets typically need to be described by several different process models. Adaptive filtering uses several techniques to allow the Kalman filter to adapt to the changing behavior of the target.\n", + "\n", + "\n", + "[**Chapter 16: H-Infinity Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/16_HInfinity_Filters.ipynb)\n", + " \n", + "Describes the $H_\\infty$ filter. \n", + "\n", + "*I have code that implements the filter, but no supporting text yet.*\n", + "\n", + "\n", + "[**Chapter 17: Ensemble Kalman Filters**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/17_Ensemble_Kalman_Filters.ipynb)\n", + "\n", + "Discusses the ensemble Kalman Filter, which uses a Monte Carlo approach to deal with very large Kalman filter states in nonlinear systems.\n", + "\n", + "\n", + "[**Chapter XX: Numerical Stability**](not implemented)\n", + "\n", + "EKF and UKF are linear approximations of nonlinear problems. Unless programmed carefully, they are not numerically stable. We discuss some common approaches to this problem.\n", + "\n", + "*This chapter is not started. I'm likely to rearrange where this material goes - this is just a placeholder.*\n", + "\n", + "\n", + "[**Appendix A: Installation, Python, NumPy, and FilterPy**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/Appendix_A_Installation.ipynb)\n", + "\n", + "Brief introduction of Python and how it is used in this book. Description of the companion\n", + "library FilterPy. \n", + " \n", + "\n", + "[**Appendix B: Symbols and Notations**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/Appendix_B_Symbols_and_Notations.ipynb)\n", + "\n", + "Most books opt to use different notations and variable names for identical concepts. This is a large barrier to understanding when you are starting out. I have collected the symbols and notations used in this book, and built tables showing what notation and names are used by the major books in the field.\n", + "\n", + "*Still just a collection of notes at this point.*\n", + "\n", + "\n", + "[**Appendix C: Walking through the Kalman Filter code**](http://nbviewer.ipython.org/urls/raw.github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/master/Appendix_C_Walking_Through_KF_Code.ipynb)\n", + "\n", + "A brief walkthrough of the KalmanFilter class from FilterPy.\n", + "\n", + "### Github repository\n", + "http://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.4.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}