{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Magnetisation field\n", "\n", "One of the main objects, which we have to be specify as a part of the micromagnetic system is the magnetisation field $\\mathbf{M}$. In Ubermag, by defining the magnetisation field, the mesh, the geometry of the sample, as well as the magnetisation saturation $M_\\text{s}$ are defined.\n", "\n", "The Ubermag package we use to define finite difference regions, meshes, and fields is `discretisedfield` and we have to import it before we use it." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import discretisedfield as df # df is just a shorter name" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Region\n", "\n", "In finite differences, the region on which the mesh and the field are specified is always cuboidal. In order to define a mesh, two points $p_{1}$ and $p_{2}$ must be passed to `discretisedfield.Region`. Those points correspond to two points between which the region spans.\n", "\n", "For instance, if we want to define the following region:\n", "\n", "$$x \\in [0, 100]\\,\\text{nm}$$\n", "$$y \\in [-20, 20]\\,\\text{nm}$$\n", "$$z \\in [0, 10]\\,\\text{nm}$$\n", "\n", "two points we need to pass are:\n", "\n", "$$p_\\text{1} = (0 \\,\\text{nm}, -20 \\,\\text{nm}, 0 \\,\\text{nm})$$\n", "$$p_\\text{2} = (100 \\,\\text{nm}, 20 \\,\\text{nm}, 10 \\,\\text{nm})$$\n", "\n", "In Ubermag, points are defined as sequences, for instance, tuples. The length of these sequences gives the number of spatial dimensions that are defined in the region. Accordingly, the region we want is:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "p1 = (0, -20e-9, 0) # point 1\n", "p2 = (100e-9, 20e-9, 10e-9) # point 2\n", "\n", "region = df.Region(p1=p1, p2=p2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several quantitites we can ask the region object for." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0.e+00, -2.e-08, 0.e+00])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "region.pmin # minimum coordinate in the region" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1.e-07, 2.e-08, 1.e-08])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "region.pmax # maximum coordinate in the region" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([5.e-08, 0.e+00, 5.e-09])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "region.centre # the region centre" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1.e-07, 4.e-08, 1.e-08])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "region.edges # edge lengths of the region" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualise the region e.g. using matplotlib `mpl()`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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PK8KC2fHC8aGhoYJIcBaxH4O4WJEJCW8UXrJFfmTcjJrmbsE+u3fA+n2qlfxQL2ZUlagJnfL1w8PDMT4+DpPJNCnCIo4usb8/pTgIgiAo8jAlLE0hlUqnNH0C+KiDNzwejGbgxXer8GP5AQB8muLK387GiQtShfoDZ967ZSGheNK2TK6EWq32Sh2DXq+fVKyoUCigUqmEnTw7hztalV0rhRSYlxONhfmxkEoL0K4bRXVjNyoburC7pRsGoxljehPK63Uor+dneiTEqFE80cFRkB6DULXtW57VQuj1epe8Jcg+myCIoxGKPNjBnTTFVOZQzqQpJBIJDupG8diaHdg/MZgqKTYUt19QioyUSAAQCv7cWbSGRw24+p8bAQA3nl2EExfOEhZAFmFhu3BPcTQIyxNvCTFMsJjMEtS19qGyUYvKui7h2omRSSXIST3sLZGeHAGpVGK31sPyPCwqIf4sTEyQtwRBEEcTJB5s4MokTLEgsDdC25XiyQ2VB/HyRzsxbuAX1iXFybj2jDmTdswscuFOwaLeYMLlD20AAPzht3k4Yf4M4TVVKpVQDOqNVk1L7O3kfVF42Tuo5x0vG7SobtBiaNTauCsiVIGiTA3mFySjMDMa4WrnaxvE6RrLFAd5SxAEcaRD4sECZydh2hIESqXSKs/vqJti0nnNEvz70934dlsbAEAuk+DK0+Zg9eJ0Qbyw3S0AoZ1SvAN2pmDRbOZw8YM/AgAuOyUHq45JE34XEhIiDPIS1zGIIwaepDjEONrJe1J4aYlMJoNEKsO+jiFUNehQUd+JhlZ+qJclaQlhQlQib2aUMEzMmc8ivl6WwgjApJoQgiCI6Q6JhwksJ2E6Wugt6xYYluLB2TRFR88oHltTjtaOQQBAQkwIbr+wFLkzNUINhbjocXx8XEhbuFOweMmDP8Jk5nDhb7Lx2yUzhZ+r1WpIJBKMjo5OOt4frZr+LLwc0x8e6lVZ34Wu3lGrY5VyKWanR6M4KxZFWRrMiLc/1MsSsX02pTgIgjgSIfEA99IUtnL2TDywORfOpCl+qenAix9UY0zPv9bCgkTccFYhwkIUkwSDZVicFSiKsbcDtixYvOKhDRg3mHDu8Zk4Y3m68O/tiQfLc4jTD76IGDj7OTyFvba234DK+i5UNmixs0knpIzExEaq+Omg2bEonGKol63zWHa9sGtGKQ6CIKYjR714cCVNIU4Z2DqOmTqJFzu7aQpOgtc+24Ovf20FwKcpLjk5D6sXzxIWEfGsBnHBpj3xYImtgkWTyYSL//Y1hkYNOHN5Os45PlM43hnxYIk/Iga+LrxkBZNmsxkcJGjYPyC0g+49OGB1vEQCZKVETnhLxCJrRgRkMufqJRwJI/KWIAhiunDUigdX0hTiHaOjiZnM/niqNEVX7xgee6tcWJjio9W47YJS5KRFW50TgFUXgLPiwRK2YF31yA/oHRjHmSuzcOkp+cIirFQqIZPJMDIy4tLrij+bPyIG3i68DAsLEyZ2MljqYXDUiJ3NPais51Mc/baGeqnkmJN52FsiPjrE6XPbE0YsgkX22QRBBCNHpc8DW1zkcrlHaQoGC+Wz17b3elKpFL/u6sTz71cLtsvz8+Nxw9lFiAg9bLEsrpWwtwN1ZzERXCYnRl+PjfNCiM2v4DhO8C9wpyjS0VwJdg7xIu9uxEA8nnsqV01n0ii2fs+GeqnlwIK8GBxbEAeptBD7u4ZR1ahDZX0Xavf1wGjiMDJuxPZaLbbX8kO9kmNDBcfL2ekxUDsY6sW8JRji+hIWyWJCgqXDKMVBEESgOeoiD+I0haNIgjNpCmBy8SRweAG1xMxJ8Prntfhi8z4AvOfARatycdrS9ElDtcTnBPgQtqXjozgF4c4ifPvzv+JQ9whOmJeCP5yWL7ymSqWa5Png7aJIexED9hm8VXhpq77AURrFVWdNFmExmMB7S9TzKY6DumHrzyyTIG9mtDCLY1ZSuNMLv636EkpxEAQRDBw14sEyTcGKEG2JB2fTFJbdFCz6YCkedP16PP5WOZrb+wEAsVFq3HZBCfJmxgjH2OrgkEqlk8SDuD3UsgPDlUX4zv/bhrbOISwvTcJ1ZxQIP1cqlVAoFBgZGXHYRumNVk17HQnebgd1Jo3iji235WeRy+XQ9Y+jurEbVY1aVDdqMTJm/RmiwpQThZcaFGVqEBXu/FAvdh6yzyYIItAcFWkLsZ2w5UJviStpiqlGaEulUmyr7cJz71YJC8ncvHjcdI7tNIWjc4rFBStoZBM8ZTKZYAftzCIsl/Hv0Wi0rRuZgGEiRrwAMy8IccGiOxEDFoa3dQ6lUumVyIezaRQWiXIXlnqIDJFgWXEcjpubBA4StBwcRFUDn+JoPMAP9eof1mNTTQc21XQAANKTwgVvidw0x0O9yD6bIIhg4YiPPBiNRuEBKl6E2E6ULV7upCksCwDFgoKDFG9+WYfPNrZM/DsJLvhNDn63LANS6eE0haOWTjbmm4kdcZ7fErZgiHen4qiEeBF+4LVy1Lf1Y8HseNx6XpHwGizyMDxsHX4Xvyd7oXRvtmr6uh0UOLz4Ms8FX6RRxEO9drX0CCmOnoExq2NVChkKMqKFWRxJmhDyliAIIig5YiMPlmkKW3MLLFsiXU1T2KNn0IDH3ypH4/4+AIAmUoVbzitBQYZGOMbZAVns/en1eofzLMR5b5PJJLymrfHZKiVLrzg3ktvyGMuoBFu0WKunp62ajs4REhIifEZP20GZ4JHJZMJCK7bp9kaqRjzUqyw7CvPzNJBKZ+NQ9xiqm/hR47tbuqE3mjFuMKGyoRuVDd0A+C6c4glviTkZ9od6AbYjOeIhZcDhIWbkLUEQhKcckZEHtpg4SgXYM2CyhbOzKeRyObbt6cSz71ZheGKWQklOLG4+p2RSbtsZESJu0fN0kWRRCfY5Hl1TifK6LpTkxOGBq4+dtIiqVCoMDVkPlXIGf7Rq+uIcLBUzNnY4GuBO4aW7n8XESVDf2oeqRl5MtHUOWh0rlUiQkxY5UXgZi8yUCCGC5ex57HlLiJ1KCYIgnOGIEg+WkzAdLfT2DJgscXY2BQcJ1n7dgI83NPP/TgKcd2IOzlyR6XSaQvzeWJqCteexBz7bDXsSun/i7Spsr9Uif1Y0Hrpu0aTXZyZR3kgN+GOqpjfOYUs8iBEvvpapGm/6V4iHeu1s7kFlgxZVDV0YHLGOhoWHyFGYqRGMqjSRKpfOY69Yld0DlOIgCMIRR4x4sExTOEo/ODJgEuNsmqJvyIDH11agvrUXABAdocIt5xWjMDNWOMZZEcIe2ixsL27jZA999sAX1zO4shA/+14NNu/sRHZqJP5+9QLh52q1elIo29tOkf5o1XTnHFOJB0scdT14SxQBh4d6tXYMCd4Sda29MNuY6pUaHyZ4S+TPinZ6qBcAREREwGg0CiKJ7LMJgpiKI6LmgVXMs4Xe0cObLc6stc0WjropxEilUlQ2dOOZdRXC7rAkJw43nV2E6IjDO0FnB2Sx3PT4+LgQTmaIhQI7tzivLX7gs/y33WswUdFvMJqFWgnm8cCq+cX5cpVK5ZWdttjcSbz7dbZLxNVziA2kvHkOR10P4k4RT0WRyWQCTCbMiFUiNW4Gzlg2C2MGM/bs7UNlgxYVdZ3CUK8D2mEc0A7jiy37oZBLkT+L95YoydZgRnzYlAu/wWAQBIStQlLyliAIQsy0jjxYpikcpR/EizPb0dsyYHIlTbHu20Z8+GPTxOsD556Qg/NPyofJeLiDw9k0BSvaGxsbc3mH52pU4pVP9uD7He1IiQvDM7csERZWJlrEiLtTFArFJIMqb+60xWkBX07utFXHAGBSC6wn+MO/AhAN9eobR1VjNyoburCzSScMWBOjiVAJ3hKFmRpEhE4e6hUREYHR0VGb783efBQWlSD7bII4Opm24oE9+NlC40yaQnwca4MUiwdn0xQDI0Y8sbYCe/b2AOCNf/50XjFKcxMEQeKsCGGLpWWawhPEQoLtENkO2GQy4R//3YHqpm4oZBLcdF4ZSrJjEaKUTBlNsGwHZTtQ8U7bW0WR/pjc6euWU8Bx4aW3RJGQboAUjQf6UdWgQ0V9F1omTMkmHQsgc0YkLyayNMhJjUR0dJRd8WCJI28Jss8miKOHaSkexMY+zqYpLI9j4kEcep4qQiCVSlHT3IOn3q7AwMSApIKMGNx6XgliItWCIyTzZXAlTcE+ky8QC4mPfmrGG5/vsXgvQGZKJEpz4lCaE4vs1CinKvnFZkTiYkJvF0WK0zO+WIDFLaa+rGNwJFi8XXgpk8kwNGrCzpYeftx4vRZ9Q9YOmiEqGUpzE1CYEY05GdFIiHF+qJcjkUcpDoI4splW4sGTNIXlcWIDJrYgOX54S/DeD814//sGcBy/4P5+RSbOPSEbbBwzEw+WOWJLxGkKdy2RXWVkzIAXP9yNHXX88CapRIIQlRTDY9aLYliIHMVZsSjLjUNJduyk+g17OBOV8EZRpKPOB3cjBpajyO21NnozugL4t/BSKpVhv3YYNY3dqKjvwp69PTCarP8WSZoQwfGyID0aapXzZVFikWf5eSjFQRBHFtNGPIjDolOlFdgDTGyaYwkTDwCmfL3BUROeXFuBXS28eU9kqAI3n1uM0tx44Rjxg5HZRtuCLUgGg8Gtsdru0NoxiKfeqUZHD784Zs6IxK3nFSM+Wo123Siqm7pRWa9D7b5uGE3W7zs9OQJlOXEoyYlFblqUIJYcMVVUwlv5f28swJbiwd45fNlyCvinG4VFCwwmDrX7+lHZwEcl2rXW3h4yqQR5M6MEo6qZieFOe0s4+jzsepF9NkFMX6aFePBGmkIMe4BKpdIpZ1js2deHJ9aWo3+IT1Pkz4rBreeXIDZKLRwnFiusY8FWpIMtoL5OU4jZUHkQ//6sFnoDv/CcMD8Vl6/OtdnKN24wY/feXlRP7E5ZJb+YULUcRVkaIcWhiVRbHWOJK9bZniJ+fWcjBlOJB0v8Udzpr8JLqVSKsLAwHNQOorpJh8p6+0O9IsMUKBJ5S7g61IvsswniyCGoxYMraQq2MDl7HFvM7LZiSqT48MdmrPu2HuylzliegfN/kwO5aOctFitms1mooxCfX3xOZ70EPMVgNOP1L+rw3fZ2/n3Kpbjq9AKsLEt26t9zHIeOnjE+KtGgw67mbpth7pmJ4byQyI1FXlo0HA12YjAxwTo4fB2VmCpi4Kp4ECNuB7VcFD2xtbbEl4WX4m4L/jskQcuhIaHwsml/L2xYS2BWUjgflcjSIHdmtNAC7M7nAcg+myCmE0ErHsQLDNuZ2DN0Yg+iqRYdy24KlUplUzwMj5nx1DsVqG7UAQDCQxS46ZwizMtPEI6xVVMhLsJklzUQaQpt3yieWleDlvYBAEBCTChuv6AE6cnhbr/muMGEutZ+3kK5XouO7hGrY0JUMhRmalCSE4eynFjERU9dfCe2zmZCwpdRCVthdFY34Y1WTX91V3izU8ReqyaLFozqzdjV0ovK+i5U1Hehu9/WUC8pCtJjhJbQ5NhQp+/1qeyzgcN/O4IggoOgFA/iNIXY+c6WeHAlTWHZTcEKJtn/l0gkqGvtxxNry9E7yBcy5s6Mxq3nlyBetBDaav1kMEHC8v3+TlNUNerw/Pu7MDQxW2N+fgL++Ps5CAvxrh9YV+8Yqpq6UdWgw84mHfRG60UxNT4MJTmxKM2Nw+xZMU7tTMWikRVe+rJV05dpAX/ZWjsqVHSmJsORz4Ot8xzq5utkKuq7sKtZJ6TExMRFqQXHyzkZMQgLUdh4Rds4ihiRfTZBBAdBJR4sLabZw4I9RMTiwZ00heXDWqlUCg9ZiUSKjza04J2v64QQ7WlL03HRqly7aQpbD2WVSjWpg8NfaQqzmcOHP7Xgw59ahG6QC36Ti9OWzHSpyM0dDEYzH5Vo6kZlfRfatdYjvVUKKeZkHq6VSNSETvm6lgO92H+8vZtXqVRCREosDH1Rx+CP7gpHdR+2Ci+dFQ9imDAycxLUt7GIVCdaD9ke6pWdGjlReKlBZkqkS/ekrWgO+xyU4iCIwBA04kH8ILDc+bEWSNbW6G6awhImHgZHDHj6nUpUNvBtjGFqOW44uwgLCxKFY6dq/WSoVHxbo9gi2dcMjujxwge7UNXId4NEhConZmvE+PzcttD1866HVQ061DTrMG7D9TA5NhSlubyQKEiPcWoWg2VUQpx+8KRVk4mHkRE+FeMPkyrAcXeFtz0fHEVY3BEPts4jl8vRP2xATVM3Kuu1qLQz1CtMLR7qpZlUfDwVjlI27P5QKpXkLUEQPiYoxINlmsJyZyQWD2zn72g36KwttFKpxO6Wbjz+Vjl6BvgIQXZqFG67oAQJMYd3xo7SFGLEswD0er1XdqtT0dzej6fX1UDbx7//nLRo3HpekUsPZF9iNHGo398/0cGhxX4b46YVcinmZMQIhZdJmqnz5eJra5l+EC/yzuzmLcWDJZYmVYD3h4b509bachcvkUiEmhxv3bMyGT/Uq61zGFWNWlTUdaG+tRcmG5WXM+LDhMLL/FnRUCmdr21wFM1h82vIW4IgvE9AxYO9NIUlYvMlwDsjtCUSKT7duBdrvqoTphSeungWLj45b1Ju3pmaCvE52efx5ghtW3Ach+93tOO/n9cJ3gynLJqFi07Kdqnq3d/0DOiFDo6aJi1Gx62vaWJMyOGoRIYGaicWk6miEo5qDKYSD2IcFfd5u47B1+2gTGSr1WpBRPgiwsLOM24wY88+fqhXZV0XOnqsr7dCJkX+rCgUZcWiOFuDtISph3qJcWSfTSkOgvAeARMPjtIUlkyVfnD1uFE9h2fXVWJHXRcAIFQlxx/PKsSxhUnCMc6mKdiDyjJNwRYZtqNkD2axmHCXcb0J//lfLTZUHgIAKBUyXH/mHCwuSpziXwYXJhOHxvYBfrBTvRb7Dg1YHaOQSzF7VjRKJmolnJkQCUw2qZpqoJcr4sESf9Qx+DqNwtIWYvHla8dLmUwGbd84qht1qGzgvSVsDfWKiVAKczgKMzWIDHPeW8JRGy3ZZxOEZwREPEyVpmCI0w+OnBudTVNIJBI0tw/isbfKoetjbotRuO38EiTFup+m0Ov1QleIPSyHVbkblejoHsGT71SjrZN3BEyJC8NtF5QgLSHMqX8fzPQO6rGzuQeVjTpUN2gxbMOoKD5azXdw5MShMFODECfsk6eyzgb4v8/wsHWhp6u4Y1LlKt5Oo9iqefCXRTc7Dwcpmg7whZeV9V1oOmB7qFdGSoTgeJmdGjmpmHkq7F03ss8mCNfxq3iwTFM4WpgtUwEKhcKmeHA2TSGVSvHZpn1484taIe96yqJZuOK3BZBKDv8b9mCZynmSpVHcyROzByZ7KIt3RI5siLfXduGlj3YL7n/HFibh2t/NRqjau22YwYDZzKH54CCqJmolbE2IlMkkyJ8Zzac4smORlhjuclTClnW2t3bZ/rC19kYaxZmCSUefxduOlzKZDMNjJl5INmhRWd8ltE6LCVHKUJARIzheJmpcG+pled0ATPq7kH02QdjHb+KBfSGnWpgB2+kHW4ZOzqYpxg0cnn2vGtt2dwDgzYyuO7MQK+amCcVi4jSFs0OtxsbGvPJgmSoqYTSa8O73zfhk476J4yW4+OQ8rD429ah5sPUPG7CzuQdVjTpUNWhtVvFrIlUoyYlFWU4cirI0CFVP7S0gkUigVquFa21pUuXNuRL26hi8eQ5bi/xUqQd3ui38UZPBziOTyXBAO4LqRt7xcneL7aFeiTEhQgdHQUaMU1EphlKpFLqvbKU4yFuCICbjc/FgaTHtbpeEWDy4kqbYe2gIj63ZIcxpSE+OwO0XlCI5Lkx4DbZoOJumMBgMguDwNpZRif4hPR5/awdqmni3y+gIFW49rwT5s6K8fu7pAscBLRNRicoGLZoO9MHyLpZKJchNixJ8JdKTI6z+XgqFQhihzjxE/GWd7Q+TKsC5YVuetmr6q7WVncdg4lDf2o/KBi0q6rtwoMv2UK/ctCjB8TI9KcKht4RCoYBKpcLQEP9atrpS2GeiwkuC8LF4cDdNYSvUysQDAKfTFF9sacPr/9stdCP8ZkEqLv/tbKgmPAXEDwBn0hQAMDY2JggYX1Pf1odn3q1BzwAfsi3I0OAvl8xHdPhhc6sg6LQNOIOjRj4q0cAX3w0MWzuRRocrhaLL4qxYaKLDIJPxtuH2Fk1/DvSyt1h509baXjuoVCrF+Pi4Xft3V/FHaytw+JnRO2gQIlJVjVoMj1o/ZyJDFSicKLwsytIgxmLMvKV4EOOMfTYVXhJHGz4TD6wocqrJlYBz6QelUik8yKfamY0ZOLz4QQ227OS7EdRKGa45Yw6Wl6YIx7iTpmAmVb6G4zh89et+rPmqQajP+N2yDJx3YhZUSoXLtRJHExwH7OsYQvVEVKKhzXqok1QC5M6MQUl2LEpyNMhIds7xUDwW3jIqIS4k9BR/7eTZ67PR9L5qB/VH4SWACcdZPtrICi9t/f0BfqAbExJ5M6MQFqq2Kx4ssZcaYvcHpTiIowGviwfLNIWjNkdX0g/OLPQSiQStncN4bM0OYXDTzMRw3H5BKWYkHB4KJba2BmB3x8UeEP4cajU2bsTLH+/Bll2dAIAQlRw3nFWIBbPjrY4Vpzcse9opKsEzPGbErpZefkJkgxZ9NgrvIsMUKMmeiEpkxzrVDuhooJe3Iwa+3slHREQINuq+Fiz+Lrwc03PY1dIzkeLohK7P2i5eKeet0+flJyIvLRwpcc4P9QLs13+IxSalOIgjDa+KB47jhAeqp2kKy+MAOHxQSqVSfL11P/7z6W6hmOr4eTPwh9MKJjnWiaMcLHdpKR7EYsWfQ60OdA3hqXU1wmyItAnhkxw7dRW5ux0cRwv8312OvQf7saO2E5UNWtS19goGYQyJBMiaEcmLidxYZM+IcjoqIfZJ8OVAL2+bVNmqefBX6sHfhZcdPWNC4eVOu0O9VBPeErGYkxmDcBeGejmKGlGKgziS8Jp4EHs3sJ2EPdwxfRJ/CS3RGzm89OFObKo+CABQKqS45ndzsHLuDOEYW1EOy5kZwGRR46+hVgCwZWcHXv54j2CUs6w0BVf9Ng9qFyrGxbCHJdvxiB/KbKE7WlAqlXyh3UShK2N03IRde3v5dtC6LsGiXEx4iALF2fxAr5KcWESHq6yOscTeQC/AN7bWrnZXWDJVwaS/XDX9WXgpk/FDvRr29/NRqfoumyZlTEwyb4mslAjI3PSWIPts4kjCY/FgmaYQVyVbncyFNIXlccxXwdLIZn/XCB5bswMHdfxuPTU+DLdfWIq0xAjhOHtRDkvxEIg0hdFkxtqvG/HFljb+PcgkuPzU2ThxforXzn+0RiUkEokwJEmv1ztcSDmOQ7tuVKiV2LO3x+YchoyUCKGDIyc1yqmFxBPrbFdx1F1h7xyudlv4w78C8G/hpUqlQv+wAVUNWmGol63C21C1HIWZMROzOGIRF+3aDBmyzyaOFDwSD+KcHvtS21rkAdfTFJbHWb6uVCrFdzsO4NWPd8Fg5Be/5WUpuOZ3BVArD+/WHUU5mHjQ6/WCWPFnmqJnYAzPvLsT9W19AIDYKDVuPb8EOamRPj2vo6iEtx7IgUYqlQqFgO4YeY0bzNi9txeVDTpU1GsFR1IxoWo5irI0KJuISmgip15IxO+DtYO6GzGYCmeHbXnaqulMO6in+LrwUqVSQS6XY3h4eOJZIEVb1zDfwVPfhdp9tsVkSlyoUHg5Oz3GqTksDHt/H3YfsOcTCQkiGHFbPIjTFOJFx5Z4cCdNYXkcC/sajUYYTMDLH+3ChsoDAPiCpz+cXoDj580QvmjORDnYzpTVavgzTbF7bw+efXcn+id2N8XZcbj5nEJEhDqfX/UG7AHG/hvApKLL6RiVkMlkUCqVXuuQ4TgOh7rHJgZ6ae2aFM1MDEfZxECv3JnRTlknW+44xdbZ/hq2JZfLMTY25rBGyVn85V/h7eiHvfkmh70lwIvJ+i5UNmhxSGdtZS6XSZA3M1owqprppOMpw16khaVryD6bCCbcFg+sJcmym0K8yHuSprCE/b61YxD/fHMH2rVstkMobrugDOnJU6cpbL0mEyvecoucCo7j8OmmVrzzbaNgbHT28dk4a0W6U4V5vma6RyVsGT95G73RjD17+1DVyEclOm1MhwxRyVCYGYvSnFiU5sYhzskR6a4M9PIEW/UY3m45BfzjXwHYj344W3jp7HA09jl0/eOobuJrZWqadBgdt75e0eGHh3oVZbk+1GsqbwmyzyYCidviwd5DzFXXRmcXeoVCgX9/sgtfbtknmD4tLU7GtWfOmWRD62yUQxwO9FcNwMiYAS99tBvba7UAgDC1HDedU4yy3FifnM9TvDXMy1+oVCpIpVKHxk/ehuM4dPWNo6qxG1UNOuxq1kFvtL5/UhPChFqJ/FkxTo1Nn2qglzfC9RKJBOHh4cJEWF8u8rYKItn33hdOlLbSAfbO485kVXa9IJGi6cAALybrutDcbu14CvDutsVZGpRka5CTGgW5E/cAw1GkRdwyTEKC8BcepS1sPaDFatgb5lDsuNf+twef/twi/KwoS4MzlmeiIEMjPIjZl8fRw04sVsbHx4WHs+Ui6W2/hNaOQTz1TjU6evjceUZKJG47vxgJMc4P8wkkzPArGKMSEokEKpVKqFkJZKrFYDSjrrVfiEoctBHeVillKMyI4Qd65cQ5fQ/4YqAXEw8jIyPCvxXven25yPtjnDngXOGlJ2PZLT/P4aFeXaio70LvgHXqTK2UoSA9RkhxiKf6OvuZLCM6VHhJ+BOvigdXzJxcNYd68f0qfL21zeqYEJUMJTnxWFiQhHmzExCultl9sLEvnNFoFHZats7p7c6En6sO4tVPa4We8hPmp+Hy1TlQKpwvrgo2giUqweobxGIwmND28eHtqgYdapp1GNdbL4gpcaGCdXZBeoxT98VU1tnOFivaEg+W2Fvkvdn14C8nSnvnYf8ZHR312j3Evh8HtCOoaeqeGOrVLRR4i0mIUaM4KxZFWRrMyYhxaVKuo4gOeUsQvsJr4oF9URj28s3udF0YDAZs3tmBp96pAgCU5sShrrVX8EQQk50ahbl58ZibF4/MlMO2wywqodfrhXoMZ/CkBsBgNOONL+rx7Xa+sFMhl+Kq0wuwsizZqXNPF9gDmQkKJrjEYsIXMGtlX9Y3eBOD0YyG/QP8QK/6Luy3MdBJqZCiIJ1FJWKRHBvm1Gu7O9DLGfFgebw/PB/81Q4qTglZ+tR48zxsgTeagLq2flQ2dKGyXov9nYNWx8qkEuSkRqI4mxcTGcmOh3rZ+0y2vD8oxUF4C48KJsWDqmQymfDgkMvlNh/mnnRdlNdp8cib5QCAF+9YjpgIFer3D6C8rgvb93TaLFqLjlBhbl48Fs5JQkl2PORSs0chbVd229q+UTy9rgbN7bzxTEJMKG67oBgZosLOIxV/RCWUSqXgyeGv+gZv0zOgR1VTN6oatBNFd9YLVaImRKiVmJOhmeSWag9xVELcDmqriNBV8WCJN0yqnMFep4izBZFToVarhQJwTwovXfk8MpkMvUMGVDfyA92qG7QYsjHUKzxEgaKsGBRnxaI4S4OYyKmNysQ48pYg+2zCXTwSD8zXATicprDl2uiNrovde3vxt1e3AgCe+tNSZKdpAEAY031QO4wd9VpU1PG2w5Y92TKZBAXpMSjLjcPcvDind3T2sFUDwL6M5bUdeObdGuFBMC8/ATf8fg7CQtxzi5zOOEoD2TMTm+r1WH3DVMZP0wmTiUPDRNFdZYMWrYesd6QKuRSz02P4Do6cOKdnMIgXCfEum11/hULhtniwxF+eD44KIt0Rk0w8jI4e9vNwp/DSXeRyOSCRYl/H0ITjZSca2vqs7NMBIC0hTHC8zJsZ5VL605GLJ6U4CFfwuFXTspvCUjy4m6awpLl9AP/vxc0AgMduXIbcmVF2HxLDowbs2tuHHbWdKK+z7RSXHBuKuXlxKMuNw+xZMS5VPtt7/xKJFB/+1IJ139aD43hr2wtOysPpS2aCRD2PJ1EJ5gQYrPUN3qRvyDDhK6FDdaMWI2PW93p8tFqIShRmapyyMre0zhZHJfw1Atzbng/eaAcNCeGLVsXiwZXzeNvxUiaTYdzAYdfeHt7xsr4LXb3W700hl2L2LOYtEYsZ8a4P9RKLPRY5Ag57+ZC3BGELt8WDOJw36QUnjJfGx8e9Yg7FONA1hFue2QQA+NsfFqIoS2P7A4mKLMfGxmA0mtBycBAV9VpUNOiwz8aOLkQlQ3FWLMomxIQz8wssGRzR44UPdqGqsRsAEBGqxO0XlmFufuJRYwftKq4Up7KFzlvGT9MJk5lDc/sgXyvRoEVLe7/VMTKZBLNn8VGJkpw4pCWETfnAF9t3j42NWUUMvN1d4evUA/tM9jpFHNVkhISEuGQU56/aD+DwAt/ZwxuVVdR3YWeTDuMGa7GiiVRNWGdrUJipQbgLpnPiz8SeoZbPeeriIBgeiQdbdQ1i10bAe10XfUMG/OGh7wAAd1xYimMLk6yOYze2owWmZ2BswnJYh50tPTar3zNnRGLuRHojIzlyymKllvYBPLWuGtqJcb85adG49bwixE4YA4kXSMuH5pESdvcG4qJLcVSC/c5ysNXRSv+QATXNPahq1KHKTp48NlIldHAUZWkQqp68iLD0DwAhimNroJe4jsHb3RX2wueBaAd1VTzYO4+vCzzZAs9BwhffNmhRUd+FvQftDPVKiURxNm9SlT0jEs4O9RKPabeVtmGRZyq8PHrxunhgDwOxgYktnE1nsC/jwPA4Lv7b1wCAG88umjQxE3BvqJXBaMaefb2oqNeisl6HThthwehwJcpy+YhEcXbsJEMqjuPwQ3k7XvtfnWBcdfKiWbj4pGy7JkC+aAU9EhEvYOz/03WyxmzmsPfQED8ZtF6LpgN9VsfIpBLkzoyaSHHEISMlEmq1esr0jz8Hell6MfjbiZLdX96yqPdH7Qdw+Dk6MGLgvSUmUhz9toZ6qeSYIwz10iDejr+IvSJae2kbJvQoKnF04dFgLMvdvdiERa/XO2UL7YwLpMlkwti4ARfc9w0A4KrTC3DysTP5DyBKU3gy1IrjOBzUjQjpjfrWPptFl7NnxWBuXhwKM2Pw+eb92FDJxoDLcN2Zc7CkKNGl83rSCnokYznYStwO6isjryOBwREDdrbwA70q67UYHLFeRDSRKpTmxqM4MwZF2bEID5k6tM0WO9ZN5WvrbHupB29HJfxRk+FoAJY3rcAB5vArxQHtCCobtMJQL7a5EZMcGzpReDl5qJczHTiO0jZi+2xx+z5xZOGReGACwTL9oFAohC6ISSdzwxxKPDvj/Hu/htHE4eKTc3HG8sxJ0QtvD7UaGTOguqkHFfVaVDXqMDBsP1weG6XGny8q9bgNM1iMlwINM36yl36i6I1zcBz46v2JWomGtl4r22SJBMhJ46MSZTlxSHfSU4B1cIhz5L4ydvKHE2VoaOgkB09ft2n6o/CSPW8NJqB2Xy8q6/kUhy3XU5lUgryZUSjOjkVJdiwKspIwNjbq9Hsh++yjD4/FA7tBxekHlUplJR5cTVPY6rq4/O/fY2jUgLOPy8LFp8x2OU3hLmYzh+b2AVTUa7GppsNm1XOISoairFi+gyMnDtERrhddijlaF0h3Bls5it6wBeFoR6VSYWjUiMr6zok0nRZ9Q9bCLCpMieJsfqBXcXas08OcfGGdbQ9xPYa3BEtoaChMJpMgVv1Vk+Fugac7sO9I94Ce7+Sp77LbyRMdoUJhZgyKM/l6iahw54d6sXPZKo4lb4kjB4/Eg8lkspl+UCqVkxS0q10X9h401z22Abq+UZy+LBNX/a7QozSFq5hMZrz3QzM+/nkfAH7Hlhofjs7eEcF2WoyrRZdTcTREJbwx2OpoFV32EPtiiOd+cBzQ1jk0YVKlQ11rr5WngEQCZM2IEnwlsmY4dx+LCy+Z26XYpMqbeX9vFSpaigdLHNVkeLtN0x/zPtj3BBIpmtsn/EXqutB4wM5Qr6RwfkJodizy0lwb6jWVfTbHcULXDzF98Eg8WJqLMJh4YArTlTSFo+NufWYT9ncNYdUxM3Hlb/Pcfdsu0z+kx3Pv78Sulh4AvCq/9bwS5M+KcrrosjQ3DnNtFF26w5G2QNpb4LzB0VxTYqujwh6j4ybs2ts7YVCkRc+AdRowIlSB4qxYlObyUQlnW5qnikp4s77A3ULFqcSDGH+2afq78HJ4zIRdLT1CF0d3v/V9oFLIUJARzTteZmuQpAlxaQPnSCCJU2EUlQhuPBIPtuoaAD70zOxxPUlTiJHL5fjz85vQuL8PS4uTcNM5Re6+bZeob+vDM+/WoGdiMl5BhgY3n1OIGBtpCaHoskGLivqpiy694XTJv+b0XSBZfYM/jJ/EbaCskEtcdDndRJcjpqobmYr9XSMTA7202LO3x+o+BoDMlAiU5sShJCcOOanOtQFONdDL254PthwibQmWsLAwYWCeq/jLotufpluhoaEYHx/Hoe4xVDVqUVHHD/WyNW4+PlotOF66OtQLIPvs6YpPxINSqZzUG26PqdIUwOQiy7v+7xfsau7GMXOScPcVC326QHIch6+27seaLxuEB+fpyzJw3gmZkDvZK+1M0WVybKhgme0tp0vxAhnM6Q25PLCDraaz6HIEK2A0mUxeua5jejN27+1FdaMO5fVa6Pqso2thajmKJqISpTlxNsW1LRwN9PJ2N4KtQkX2t2ZF3t64Xv6KFjgqvPREgMnlcoSEhGBwkDfUY89goxloaOtHZQMvJtpsDPWSSiTITo0UHC8zU1wb6uXIEpzss4MLj8SD5aIvXugdRRKcTVNYdlM89lYlyut1KMzU4MFrjvVZ/n9s3Ih/fbIHm3d2AuCLIW84qwgLZse7/Zqs6LKyQYvyevtOl94sugSsF0im5gO9QCqVSsjlcmHKaaBxVFPCrtl0gBWc+spQi+M4HOoeRXVTDyobtNjd0gOjyfrazEoKF6yzc2dGOyW4/Wmd7SgPPx3bQR19HldTKZbiwRL2PekfNqB6opOnqqELgyO2hnrJUZipESITGheHelnWmgCgFEeQ4DXxIF7oxe6Slkw1w4LBbgoWSpRIJHjuvZ34ZWcHslMj8dC1x/AfwMv5/3btMJ58pxrtWr6dKS0xHLdfUIrkWNuGKu7iC6fLqQiGoktxfUOwDraSSKyHnk2HqAQrOPXndR03mFG7rw+VjTpU1GnR1Ws93TZEJUdRlkYovGTOq1Mx1UAvby7yYWFhgmuieJHydkGko+iHN9tBPSm8VCgUUKvVdsWDJXK5HBKpDPsODaK6UYeK+i6bBbgAkBofJjhezp4V7fJQL1u1JpbF+ezzEr7FK+LBspuCKUFLceCqORTblbIb4ZVP9uD7He1IjQ/DkzcvtvlvPQlFb9nViZfX78bYxEK+rDQFV/02z6mBQ57Aii75PmzbRZdRE06X07nocroOtgoG0eUIXxacugLHcejsHROiEruau2GwkSNPSwjnhURuHPJmRtt1YxVjyzqbbUK8EZUICwub1Pbtj4JIf7WDAq6lUhQKBd/aOzTk8nnEQ7127+0VCi87e6xFpUIuRf6saBRnaVCSrcGM+Knnsdg6l62oDnlL+B6PWzUlEolVN4WleHDWHEocldDr9VbHvfllPT7f3Ia4KDVevGPZlO/P2fy/0WTG29804vPNbQB4w5QrfjsbJ85P8fuNF8iiS8u5Et70SmA7x+k+2MpWVCKQqaBgFmQGI4fa1j6+DbBea9OcSKWUoShTIwz0SrBjmWzJVNbZri6+4eHhGB8ftxkN9Vf7pL0Qva+mdtpLpTAx6o54sIR9pq7eMcFboqZJJ2zQxGgiVBPtoPxQrwgXhnqxc5F9tv/wuFUTgJUSZwuQwWBwyRxKLpfDZDJhbGzM5h/4ve+b8OFPexEeosB/7lrp0nu199DX9g7j8bUVqG/tA8C7Rd52QQmyZ0S69Pq+ghVdVjZoUdngn6JLb0clWH3DkTjYKpBRCU87KvyNtm9cGDNe06SD3sZUyJS4MCEq4WxY21ZUQtz14Mzi60g8WOJoF+/NqIS/2kFtLboAhMivtyJZ7DNxkKLpAF//VVHfZXNKrARARkoEirNjUZylQXZqpNOF6uJz2TLfIvts7+Bx5MFW+oHdhKygxdk0BVtc7CnDTzbuw9vfNEIuk2Dt/Se6+7YB8A/92n19ePKdSvQP8RXWxdlxuOW8YoSpg/OGcqnocmKYly+KLl1JBQUiDx8oHIku9t/ewtsdFf7GYDSjvq1/YsS0Fge6rHe5SoUUczIO10okxYY69druDPRyRTyIcbSL93abpjfMsKaCRR3k8sMD6XxRSAoc/kyDo8aJoV5ddp1PQ1QyzMmIEbwlnI1QWZ7L1vWjFId7eBx5sPVlY38gYOqR3KzrYmxsTChYssfXW/fjtf/VAQDW/u0Et3fYHMfhs19a8c63TUJRz9nHZ+OCk/KgkE/u0w6GnLY9grno0nKw1XTpVvAmvopK+LqjIhB0D4zzEbZ6rd2wdpImBKW5fAdHQboGKqVzUQlg6oFeISEhbokHS2wJFl+0afqyHVSlUkEmk2FkZMRvKRv2mSQSKdp1IxNmZV3Ys9d2N0+SJgTF2fy4+Tnp0S7XpZG3hOd4XTywm40VPE5lDuVKyHVD5UG89NFuAMB/7lrp1DRAS0bGDHjpo93YXqsFwPen33RuMcpyYq3eWzDktJ3F1aLLoqxYl81cLLGXCmImQNMlnO4PvJUKOhoiOSYTh4YDA0KtRGuHdYRNIZeiID0GJTmxKMuJQ3JcqFMPevZdZguH2DPAZDIJ1ujeLIj0V5umt84jFg+WiM/jS3Ek9pbYs7dvwqiqU+iCEyMM9crSoCgrFrOSwt3ylrBVuEr22fbxqnhgfwCz2QypVGp34WDHuTrUauvuTjy1rgYA8OIdyxDnZMsXo7VjEE+9U42OHn5hzUiJxG3nlyAhxv7rBHulvS0CVXQplUqFnR17H8F+rQKFq/dVsHRUBILeQT2qm3jL5Oomnc1BTvHRapTm8v4oczJinN6JMiEREhICk8k0Sdh5OyVgr6DPm/4V3jiPWq2GVCq1KR7E+MvDgn0mmUyGnkH9hLdEF6oabA/1igxToChTIxhVuTPUSxyVYNEWdh3FDQBHMx6JB9YVARyuW2A3jEKhsBIP4jSFO0Otqhp1eOTNSgDAkzctQmpCuNP/9ueqg3j101phiNUJ89Nw+eoct/qM/dne6A1cKbosy4tDgZtFl+LBViaTaVpeq0Aw1X0FIGg7KvyNycyhqZ35CWix9+CA1TFymQT5s2KEWonUBPstgGKX07GxMb8N9PJXm6Y7ZlhqtRoSiQSjo9bRS0fYEi2+8LBg3xeJRIrmg4OoatChsqELjW29sGEtgVmJ4RNCQoNcJ1uDxbDPxNY4SnHweCwemK8DwNtVsy+fUqmclLYQ31BjY9bDVpyhrrUPf/v3dgDAQ9cuRHZq1JT/xmA0440v6vHt9gMA+HDnVafPwYrSRI//2J4UEgYKXxRdOrMrno7XKlDYapsFIIiyo1k8WDIwPCGMG3WoatBieNRaGMdGqQUhUZipEdJ1U9WOOLLO9sU8CX+1aU5Vw+CueBDjLwdP8WcaGTdhV0svKuu7HAz1kmJ2esyE46UGybHOpbuAw/NPLAWDWOgz4Xk0pDg8Fg8AhC+T8KIW4sHdNIUl+w4N4v+99CsA4N4r5qEwU+PweF3fKJ5aV4Pmdn53khATitsuKEZGcoRb53fEdExvAIeLLisbdKhpdlx0WZYbh8yUyUWXrF3QlV2xVCqddL2AyZazFJXgYbtitnBQBMcxZjOHlkNDqGrk/QSaDli3APL58WjMm52I+bMTMSMuxKmFWVzLw8SEr3bX/jSpsnUe9p/R0VGvtoPaSgX4ovCSnaujZwxVjTpU1HVhV4tOiDqLiYtSC1GJORkxCHNQR2erI8cy2gIcPfbZHokHAHaLIlUqFQwGg6DO3ElTWNLRM4I/Pf0LAOAvF5ViXr79WRNVjTq88MEuwW99Xn4Cbvj9HISF+NYtEpi+6Q1Xiy7L8hIQHRnm8WArikpYY88bw9G18oaZ15HE4IgBNc29QuHl4Ij1PRoToURJThxKc+JQnKVxuHiIEYesfT3Qy59TO8U24L5sB7UlWrztlcHOJZfLYTIDDfsnvCXqOm0W4QpDvbI0KMiIRvaMSMjlh9PaU7XzOhJ9Ym+JI8U+26figSlYd9MUlvQNjePaf/4MALj5nEIsKU62OsZs5vDRhhZ88GMLOA6QSIDzT8zF6Utnetym6C5iIWHp3hisi6O46LKyXoc6G0WXcpkEs9M1KMuNRVluHFLivFN0OR0jON7E2Y6K6SpSAwHHAXsPDaGmuQfldV1o3N8Ly1tJKpUgJzVKMKlKT3JuIqQ/B3oBvjepCg0NFV7PVtupt2sYHHkw+KrwcmDYiOom3cRQLy0Ghq2FpUQCvHnPCiGiEBERgdHRUaffz5HuLeET8SDuuhgdHfXaxRnTm3DZ338AAFzzu9k4YX7qpN8PjRjw/Ac7UdXYDQCICFXiT+cVoygzxivn9wbiB774ARPsi+Phoksdqhp06LfxZfNG0aWYo21x9LSjgiI49hFf27GxMQyOGPj8eANfK2HLmCgqXImS7FiU5sSiODsWEaHOVe3bM6nyRUGkLzoemHgQF7zbawf1dpQFsO+V4avCS6lUhn0dQ6hq1OKX6oOTinAfu34BUhMjIJFIEB4ejpGREbe/S/YKSvV6Pdra2pCeni7co9MBr4oHcQsLa9cE4LXF0WzmcOH934HjgEtPycWpi2cJv2tpH8BT66qh7eOjHDlp0bjl3CLERbvWzulvLB/4wbw4sjkKJpMZe1q6UFGvRUWDDnsP+sfp0lZUgl2nYBZezuDtGRXiupKjQXg5QiKRQK1W2722HAe0dQ1PVO3rUN/aY1W1L5EA2alRKMmOtVn7Yw9b1tmswNwXBZHeWHhZYaAjjxZ/tZ36qysF4NMaj66pnGRQtvbBk6FW8GmikJAQj8SDGPHnqqqqwsUXX4yIiAgcc8wxWLx4MVasWIHU1NSpXyiAeCweDAaDIBTYDAtxmsLbi+Nlf/8BY3oTzj0hC2etzATHcfihvB3//bxemOB38qJZuPikbJdbcgKNvcUxGPLZjgZbeVp06Q5HUlSCFZ360lTraI1KMFHmyrUdGTdhd0svKht1qKzvQs+A9b+LCFWgOJs3qCrOdt5LwB3rbHdxN1ognjDq7HnEn0fcWeHNzwP4riuldl8vHltbg3GDCVIJBPH43j9WQalUWJ3LmwIJAHbv3o2tW7diy5YtqKmpgclkQnp6OpYuXYqlS5di4cKFCAvzPC3sTbwiHtiix9SqvbCLo8XR2T/6tf/cgL4hPX63LB1nH5eJ//yvDj9VHAQAKBUyXHvGHCwtTvTkIwUFwbQ4ujLYKhBOl8D0XRzFPgP+mlHhqK7kSOp28ZYo2981jKrGblQ16FC7r8eq9kci4Q3nSrP5Womc1Ci3oxK+LIh0NlrgqniwxF+W1t4qvNyztxePv12NcYMZCpkUiwoT8HN1BxRyKd64ZyUA/nsaEhICo9E46RnjC4E0PDyMmpoabNq0CZs2bUJ7ezsUCgXKyspw9dVXY/ny5V45j6d4LB6Y4xabwOZsvsbd3P+fnt6Ejp5RLCtJQlvnEFo7+IE6yXFhuP2CEqQlBJc68xaBWhw9sUN2puhS7HR5tBVdMlHGvjuBYroKL0f4SpSN6k0Tdsl8C6DOhpdAWIgcxVm8r0RpTqzTKTtL0yHmF+CLTgRH0QK5XO6VOR8Mf0whBdwrvNzV0oMn3q6B3miGQi7FbecXoa61D59sbEVEqAL/+ssyAPx3JDQ0FENDQ0LLrq8EklQqFaIMHMehtbUVv/zyCzZt2oRFixbh0ksvdfjv6+rqcMstt2Dv3r344osvkJWVZfX7p556CuXl5TAajSgqKsLNN9+MhQsXuvQ+vVLz4OkD2ZVd9v978Vfs6xiETCoRFqJjC5Nw3RmzEeLicJTpij8WR18MtvKX06UYicT2/A1xrUQgCNYZFdNFeDnCn4PDDupGeF+JBh327O2G0WR9fdKTIlCaG4uSnDjkpkU5NVqafd+YT454oJcv2iftLYa+MKnydoGnPaaq/6hq0OLJdTthmBAOd1xQjKIsDd74sgFfbz2A+Gg1nr1lMYDDkYfBQev6LvZ7WwLJnSJPJlTcYe3atXj00UcRFRUFrVZrJR7a2tpw5plnIjMzE3/84x+hVqvxxhtvYNOmTVi7di1KSkqcPpdXIg+Wtq2+dG68+pEf0DvI7yQkAH5/XBbOOS5j2lSoehtfpDf8kYMXO13aK7pUK2UozvZ90aU/F0dPOyr8iT3hZWmdHUwolUrIZDJhwJU/GTeYsWdfnzARsstGyi5EJUdR1uEx47FOzucRm1SJB3r5YhcfEREhmPlZ+hX4oobBX50V4gW+or4LD/13GwxGM5QKKf58YQnmZPBdea98UoufKg8hLSEM//zjMQCmFg9i7AkkZ4s83RUP27Ztw1VXXYX77rsPhw4dwgsvvGAlHu6880589dVX+OGHH6DR8CaLer0eJ510EtLT0/H66687fT6Pt+riHar4BhMX+Lm6sIsfTOKHl1wux7jIJYwD8OGPzSiv7cK8/DjMzYv3SjHedIJdc/agFF8rhULhcgia7dp8nYOXSiXISYtCTloUzj0h22bR5ZjehG17urBtTxcA7xRdssXPYDBMEl4KhUIQTL6qKxF3VLA5CsGM+N4BrL+LwRaVCHQ0R6WQoixHg7IcDS5fnYPOnjEh0rarpRsGoxmj48ZJ93RaQjhKc3khkT8z2m6kTWx3bDKZhFEAbOFVqVRQq9Ve28WL/704HcDO460QPXsdVivHzqNUKoVCV290VnAcJ0SiKht0ePrdnTCaOKgUMvzt6mNRlBUnnIetMWrRyHe2iXUG8TMGmFxrEhISInxue1EddzfC0dHRWLduHQoKCvD888/bvAbfffcdFi9eLAgHgBfcJ510EtasWYOBgQFERkY6dT6vxvmZ6YV40WIq1d2ohPgPIZPJ8PB1i/Hce1UYGzfiYDc/9W1fxyD2dQziw5/2Ijpcibl58ZifH4/CTA1USucHXx0JePKwFz98/b1r00SqccL8VJwwP9Vu0WVL+wBa2gfwwY8tXim6tCe8mJjwZu7fH9EcX2NLeLFJqmLhFYh0ELt3gyWaI5FIkBQbgqTYGVh1zAwYjBxqW/tQORGV6Jh4du3vGsL+riF8tqkVaqUMhZkawaQqPjrE7uszMcHaT8fGxoTnL6v3cGcXb+v5bDabJ20kxDt48Xk8HRwmXuCByRuhkJCQSQWe7n4ny+t1eObdnTCZeeHw/y4uQUaiGqOjo8KGS2/kn4uhIUphI+WKeLBE/F7FtSYKhQIqlQqvvvoqKioqcOyxx2LhwoXIyMhw6zy5ubkOf3/w4EEMDg4iJyfH6nc5OTkwm81oaGjA/PnznTqfz4oExBXEACbdwO4ICSZKZiXL8Mj1fChJ1z+OygYdttd2YXcLn2/sG9Ljh/J2/FDeDoVciqIsDeblxWNuXhw0kcHt+eBtnN1lm81mweksGB6+CrkUJdmxKMmOxWWrbRdd9g/p8VPFQfxUcdBrRZe2vuRs0Wc5YPE1c/rz+Cma40+Y8GKIhSoTXv6ISliaPwU6+mEPhVyC4qwYFGfF4LJTctDVN4bqiQ6OmuZu6A18pG1HnRY76rQAgBnxYUJ6I39WtN0JwPaiEuLvOtvFOxuVcHQdmeAeHx+fFKJnfwdvRj9MJtOkFIp40XU1lbK9Vovn3t8Fk5mDWskLh7yZ0VabiOFR/juqVh6OtLDXlslkHgljy3NJpVLMnDkTGzZswGOPPQaj0YjU1FQsW7YMS5cuxbHHHovwcOenRzuiu5s3T4yJsTZNZD9jxziD3yoM2YMFmHwBxQ9he2LC3o44LkqF3yyYgd8smIExvRk7m3uwo06L8rouDI7oYTCaUVGvQ0W9DgCQmRKBefnxmJcXj/TkiKOqTsLWTSs2XmEP+2C7JhKJBDPiwzAjPgynLUm3WXRpMnHY1dKDXS09ePPLBiRpQjA3L96joktvpYOCpaPC1wQiHSQ2fwpm4WCLhGi18OwymDjUt/ahqrEbFfVatGv5DrJ27TDatcP4fHMbVAop5mRoUJobh5KcWCRp7OfExWJCHJVg9667UQlbOArRe/M8tp5frqRStu3pwvMf7IbJzCFEKcP/u6QUuWm2pzKPjfPnUMolGBoaEiIsUqkUoaGhXq3LMJvNWLx4MRYvXozh4WFUVFTg119/xebNm/HOO+9ALpejtLQUS5cuxfLlyzFnzhy3z8U2LqzMQIxCwc90cWWUhMcFk54iDnlZ1knU1dWB4zjMnTvXpR2x2cyhqX0Q5fVa7KjtwoGuIatjYiNVmJsXj3n5cZiTobGr6o9kxO1sZrNZCEMD3nMF9SXBXnQZ6Bx8sOCLIlV3zJ+mC7r+cdRMjBmvadROcjxkJMeGojSH7+CYkxHj9PNL3A4qHoIl/nuo1WoMDw97LPL86Q7pqB30l+qDeO79XTBzHEJUMvz1klJkp9oWDgBw63Nb0Nkzit8smIErTs0DAGFM+djYmEPjLU8/E8dxCAkJgUKhwP79+7Fx40Zs2rQJv/76K4aHh/Hxxx9j9uzZU77O888/jxdeeAGff/45qqqqsG7dOjQ3N2NkZARJSUm48cYbcc455wjHf/vtt7jxxhvx/PPP46STTnLqvQZcPIhhDxWDwYA1a9bgmWeewZlnnom77rrLo9ft6htDRb0OO2q12L23G2YLrwGVUobiifRGWV4cosM9X2CCHUc7Ystul+ni3OiU02VKBB+V8LHTJYvgBEMaKJjwRnfQkVA/4ixGE4eG/f2onohKtHVaC2SFXIqC9BiU5vK+EsmxoU5FEJ2xzvZmx4M4eufIpMpTxFHVX2o68NQ7FTCbOYSp5bj78nlIT3Kc1vzjE5vQN6THaUtm4oLfZAM4LB5GRyd30Fh+JsAzx0uz2Yzw8HDhtRgGg0GYf2H5O1sw8XDWWWfhww8/xEUXXYR58+bhtttuQ25uLhoaGnDHHXfg6quvBgC88847uP/++7Fu3TqUlZU59V6DSjwwHnjgAbz99tu44oorcNNNNwlDZQDP20BHxk2oaepBeZ0W5fVdGB6d3AcukQBZM6IwPz8e8/LikJYYHnShfE8Q54id2REHurXRXSYVXTbo0NnjH6dLtpsDMCkdFOzXK1Cw+8rZ+4tdX5YLP9roHdQLabvqRh1Gx61TYQkxIUKtxJxMzaSuAUeYzWaoVCrBTdbSOtub0QJHJlXeOs+mmg783/o94DggPESBB64+FrmzNFOmHa58eAPG9CacfVwGfr+CL15kBZuOwvr2HC9dqcvgOA7h4eGTUk/uwMRDaGgo8vLysG7dOgDAsccei9LSUjQ1NSEsLAyffPIJAOD+++/HBx98gK1btzptgx2UrkpxcXFW4RPL9Abb3bm6sIeqZDh2TjyOnRMPk3k2Gg8MoLxOi+21XTikGwbHAU0H+tF0oB/rvmtCfLR6Ir0Rj4L0mGk3L0OMO62CgWxt9ATLostDuhGU+7jokl0XtiOeTtcrULBr4cz9xX7uD/OnYCUmQomVZUlYWZYEk5lD04GBCZMqrTANsqt3FN9sO4Bvth2AXCbB7PQYlOTwczhmxIfZfWaq1WrIZDLo9XoYDIZJ7ZNyuVzYfXuys2bYq2GwPI+77aAbqw/h5Y9rBeFw16WlSNYohBoGe+2gBoNRiFiGKA8vj850WzhTlzGVwZe3NxdKpXKSZ8SqVauwfv16zJw5U/jZyMgIvvnmGyxfvtyl+RlBGXmYCnG4y93uDVuv2dkzhvIGHXbUdqFun/VkvRAVnz+fNxH2jgxzbhhOMOBosJW7TFdbY2ecLl0tunSmo2K6Xq9AIY54iWtx2DC+afjo8in9wwZUN/EdHFUNWgyPWUcl4qLUgpCYk6kRom1Ttbqy623L1MkX5lHiugJXzbA2VB7CK5/UggM/wOzuS8swM8l2x4Jl2mF03Ihz7/ocAHDN72ZjZVkyANtjyt35TJZ1GUajEV999RVmzJiB7Gw+RRIR4V4x/4EDB9Db2wsAeO+99/Dee+/h9NNPx2effYbrrrsOV155JXp6enDGGWdgdHQUl112GVasWIFXX30V1dXVeP/994X34AzTUjxY4guXy6FRI6qbelBex4+etgwPSiRAblr0RPeGY0UfaFwZbOUu0zW9YTZzaDk44HC8uFrJjxefl2e76NIdV0NxqF6c/w326xUI2MJmMpkE18vpVIsTCPj7eghVjTpUNmjRdKDf6hiZVIK8WdGYPzsR8/ITkaxROR2NZMcxXwkmiL1lHiXG0cwKy/P8WHEQ//60DhyAyFAF7r6sDGmJzrU6SiQSDI4Ycc0/NwAA/nzxPCwrnSEMw/JkWJitc8nlcoyMjGD16tXo7e1FXFwcFi1ahOXLl2Pp0qWTjJyc4c4778T69eunPE6lUiEzMxNtbW3gOA6lpaW47bbbUFRU5NpnOBLEgxhvuVyKMZk41LX1o7xei+17utDVO2J1TKImBPMm0hv5s6Kd8q/3B4Go+A+miaCu4mrR5eyMeMjlMo+vr60i1WC2gfYX9nbEFMVxjcERI6qbulHd2I3Khi4MjlhvImIiVEKtRFGWBmEhCqdem92r4lZmXw7AstdZ8eXmvXjlkz0AgKgwJe6+rAypLg5K7OgewW3P/woA+PNFJThmTrJTosUT9Ho9du7cKbRo1tfXQyKRoKCgAMuWLcOyZctQUlIi1FK5woYNG3DTTTdh1apV+N3vfgeDwYCPP/4YP/30E55//nmPJnQGhXjw1pQvS7zlcmn5mgd1o6iYMKdqaOuF5RUMVctRmsOnN0pz4xDu5JfQm/hisJW7TNcHvcFoRu2+XiEqYavoMnrigevNosvpGsXxJq6YP7G0xnQUq4GA44C9h4ZQ3dSNirouNB7os3qGSaUS5KZFoTSH95VIT4pwesw4f47D1tniNk1vL7xsB//t9gN45ePdAHgRdP9VC5EcG+Kyt8q+Q4O461/bAQD3Xl6G2em8eVJ4eLgQtbXVDurN+2x0dFSYorlp0yb09fUhPDwcF110EW677TanX0ev1+P4449HVlYW3njjjUm/O+uss9Df34/vvvvO7fcZcPHgzSlfU+Gpy6UtBkcMqGzsRnmdFlUN1j3ZUqkE+bOiJ6IScUiO9f3IcHErm16vD6rFZrqG6zlOVHTZ0I26fb1+GS8+naM47sKEA8C3urp6T0xXseovLK/v4IgBO1t6UNXApzj6h6xD81HhSt5XIjsOJdmxCA91PirBcZNHWLPvvbcW3q+3HsAbXzYA4AtKH7j6GMxMipp0HmcNnepa+/DgfysAAP+4Zj4yU/g5DxERERgdHRXEiLiQ1DIqwc7lDhKJZJKjpMlkwu7du7Fp0yZERUXhoosucvq1GhoacNppp+GWW25Bf38/vvjiC/T19SEtLQ2JiYn45ZdfsHnzZsTGxrr3XgMtHrw55csVXHW5dAaD0YzaVj69sWNPJ3T91m09KXGhvF12fjzy0qIg83J6YzpZITsalx2sCyMTZoPD49ix5xBvm+2g6LJswhrdG+PF2fnFRYTih+ORUERo2RHkjdezJVbdsRk/EphKmHEc0No5zEcl6rvQ0NprVTgukQDZqVFCisMVvxRx4SWrl/Bk4f1yy36s+boRAKCJUOHuy8uQHBsqfFZXTaqqGrvx2NpqAMATNx4jbAAsxYMl4qJLTzwspFKpSx0PjqipqcE555yD1NRU9PX14Y477kBWVhbWr1+Pjz76CADw008/ITk52a3XD6h44DgOCxYswMKFC/HSSy9N+t3DDz+MNWvWYOvWrU5P+fLkfdhzufTkNfd3jaCink9vNB3oszomPESBstw4zMvjQ4Ohas/SGyw/HIhxxN7AVrg+mHaMTJhZFp4eLrrUoaJB61bRpTscaVEJf5g/Hc1RCXciOsNjRuzeyw/0qqzvQu+g9d8lIlSBkuxYIcXhbBea2KRKXHjpbLTg881tWPtNEwDeMfiey8uQ6MC225FJFTvfr7u78Nz7uwAAL962BDGRKiEaMDIy4tQ9Yku0OOth4U3xMDIygoULF8JgMOCZZ57BKaecIvyurKwMZrMZVVVVbq9zAfV58PaUL3cRh6C81QYqkUgwMzEMMxPDcMbyWegb0qOqsRs76nhzF73BhKFRAzZWH8LG6kOQSfl+7Pn5fNFlQoz9iXq2zsXyw9PZ0dCep4R4MFWg0huso8KWI6dUKkF2ahSyU6Nw7glZ6BkYE+YUiMeLb6/twvbaifHiKREoy+WjEu46XVr2lYsfjt6eCupr/GX+JL4WwT5i3JtYzgFxljC1HAtnx2Hh7DgA+djfNTLRwaFD7b4emM0cBkcM2FTTgU01HZBIgMyUSCEqkZ0aZffetjXQi1lnWw70EhdeAsBnm1rxznfNAPj203suL5vymcn+ro4GbZnMWuF4NpGZPfudvR84bvJ00Kk8LAwGg8emULYIDQ1FcnIy2tra8OOPPyIsLAwcx2H9+vUYGRnB3/72N482yAGNPLCwyl//+ldcfvnlk3733Xff4YYbbsBzzz2HVatWBeYN4vCN4M02UIORw559vfwEvdpO9AxYq/nUhDCheyPHwReQLa4cx7mVH54uBLIbwZOOFaHoskGHinqtXafL0hw+AnU0Fl3ai+j4E1sptOkkvhzhqzkgo3oTdrf0TgjlLnTbSNOGhchRnBWLsly+VsLZiJuldbZCoRCiBe9914C3vqoDAMRHq3HPZWWId2GzZQu2wH/16378+1O+8PLDR08FOP47ExIS4rV5H+Lox1tvvYWnn34aCxYswKJFi7B48WLk5eV5dA4xCxYswKxZs2A0GtHS0gKJRIKcnBxceeWVWL16tUevHdDIg7enfPkCiUQivD9vuVwq5BKUZGtQkq3BlafmobVzGBX1vMtlSzvfj32gaxgHuobxycZ9iAxToCyX95MoyY6FWsX/2Y4mq95A7BjFYV53pzYq5FIUZ8eiODsWl52Si0O6EUFIiJ0uN1QexIbKw06XZblxmJvnftGlrSiOVCoNOqfLYJk6KhYKwJETlfDlALEQpQzz8+MwPz8OOC0P7doRVE2YVO3Z2w2jicPwqBFbdnViy65OAEB6cgTKJtIbuQ5qvsQ7cbPZjNHRUZjNZnyysQ3v/cBHHJJiQ/GPaxdBE6ny2NKaFZcPDPHiXqmQApxZGB4I8JsIT9tOLaOFJ554IoaHh7F582Y8+eSTePTRR5GWliaM5D7mmGPcHsk9MDCAgYEBLFiwAKmpqXjzzTfR3t6Onp4edHR0wGQyOTUnwx4BjTzs3LkTZ599Nu666y5cdtllk37nzpQvf+ILl0uA966vbOjGjrou1DTpYDBOfrDLZRLMydDgmMIkHFOYgugw+bSsb/AWvsr7iwv3fBXRGRkzoKapBxUNOlQ16NA/bC0AfVF0GSxRCXEqKJh39mLxNZ18OAI5eXTcYMaevX2oatShor4LXb3WEbdQtRxFWRqU5vADvTSRaruvx3EcPvixBR/82AKA99W59/K5SIwNtznQy92/y7rvmvHpplZEhinw8p+XAeA3smq1WjCL8lXb6cjICCorK7F161Zs3LgR+/fvh0KhQFlZGZYtW4YLL7zQJSHR0dGBFStWYMaMGUhLS8OVV14JpVKJ//3vf/jggw/whz/8AX/5y1/cfr8BFQ/sw1133XW49dZbJ/3OnSlfgUQc3vSWkBg3mLF7L5/eKK/tQt+Q9QNgVlK4kN7wxpTI6Y43CuJ8YeU9Fa4UXbJW0JhpXHQ5lR1yMBMs4ssRLJ0ZLFHJQ92jqG7qRmWDDruau2E0Wf/NZyaGC0WX+TOjBaHMcRze+74ZH23YC4AfR37flfMEsSFuB2WFl+5aZ7/+RQO+2XYACTFqPPOnxQD450FISAgGB/nvpC2Lbm+0nXIcB6VSCbWa/1ytra3CSO7t27fjH//4x6Six6nQarVYunQpEhIS8O2332Lnzp245JJLsGDBAqjVamzevBkbN2502cmSEdC0RVJSEmJiYlBfX2/1u/r6eigUCuTm5gbgnbkOe5gA3nO5VCmkmJsbi7m5seBOy8fejiFU1OuwbU8HWg/xN3JrxxBaO4bw0Ya9iA5X8kO8JnLnKien6R1JeBp6DlT+3X7RpQ41zd1HTNHlkVDcG+zD4oJNOABAcmwIkmNTcfIxqdBPtLRXNfBRiY5u3rG3rXMIbZ1D+HTTvgmhrEFxdiz2dw7hm20HAPCt7vddOX+ScBanOPR6vdVALzaUSlykaO9eHtPz3wO1g6FY7HVsncdbfg8AMGvWLMyaNQsXX3yxUP/hCtHR0ZDJZJgzZw6kUinuvfde4XMsWbIEP//8MxobG3HMMce49f4CPlWTTfnSarWIj48H4P6Ur2CBtR6JH76eulwqFHLMyYzH7PRYnL0yHd0D46io12FHnRa7mnUwmjj0DenxQ3k7fihvh0IuRVGmBnMnZm84Cgkeqbj6kHfUUeFvNJFqHD9vBo6fN8Nu0WXLwUG0HBzEhz+1CEWXc3PjUJztftGlpfhiAoylcMT+CK4ujN6oIQk2LMWXWLCy778/oxLToQ5KKZeiJCsGJVkxuOyUHHT1jgm1EjubdNAbzRNCWYvttYe7H8JD5Djn+CyHjr2WtRLsPhNHC1iBua2oBDP5E48xd/SstuysEBdDsvO44vdgr+vCnSi2QqFAdnY2enp68NJLL2FgYACFhYUAIHzH3bG8Ft5ToE2iOjs7cfrppyM1NRU33XQTFAqF21O+pgOWBZfA1DfGVIOtxvRm7GzpwY5aLcrrujA4Yv3QYPMY5uXHIyPZvaltRxK2zJYABL1HBnO6rGhg7XL2nS49Lbq0xJOUkLfNn6YD/k4JsYVxOo8sN5g41Lf1o6Jeiw0VBzA0av1dVCmkmJN5uFbCkbeDGGcGev39tW2oauxGcZYGd15SCoB//ioUCgwPD7v0WVw1qeI4DiEhIR4t6Ja8/PLLePbZZyGVSvHggw/i448/Ft5bTU0NNm/ePGlktysEXDwAQHNzMx5//HFs27bNoylf042pXC6NRqNQrONsURnHAU3tAyiv12H7nk4c6BqyOiY2UjUhJOIwJ0MDpeLoS28wxLthAEGbw7aHS0WXuXGYnR4DhZ+LLv1h/jQdEBddevs+OxKEA4PjOLzxZQO+3NIGANBEqjArKRJ79tkeVJccG8r7SuTGoSA9xunnma2BXne++Atq9/VgUWESbrugBEajUYhIjoxYD0R0BUuTKgB48sknYTKZsGjRIhQUFCAqKkoo/vQGg4ODWLJkCTiOw2OPPYb/+7//Q3d3N3Q6HW666SbceOONbr92UIgHwroNdPfu3bj99ttx1lln4dprr3V7l9LVN8anN2q12L23G2aLXapKwbcSzsuLR1leHKLDPS/Cmy7Y66iw5SkRDG2NUyEuuqxs0KIlCIouAX5hC+YweiDwZlSCpUiDId3mKRzH4b+f1+PrrfsBAOlJEbj78rmIDFPCZAbq2vpQPWHAtr/T+v5WyKWYkxHDRyVyY5GkCXUqysqu950vbUVr5xCOmzsDt144T4iwsYiZtzor2N//+eefx/r169HT04OwsLBJI7lnzJjh8XnWrl2LRx55BMuXL0dFRQX6+vqgVqtx991345xzzvHsM5B4CD4+/fRT3HPPPcjNzcWTTz6JuLg4AJ53b4yMm1DT1IPyOi3K67swPDp5hyKRAFkzojAvLw7z8uMxMzH8iE1vOJsbdmSZHeyzJHoHx1HZoJtUdGmJN4ouLWHXSmzNO12uWaBwd2bJkSQczGYOr31eh28niiPTkyNw7+Xz7A7h6hnUo6apB5UNWlQ3ajE6bn1/J8aEoDSX7+CYk6GZVMtgi5uf3oTOnlGctDAVl6/OhVQqRUhIiODn463Oismfm3dS3rJlC3799VdUVVXBZDIhKytL8HtgHRKu0NHRgdWrV+OKK67ATTfdBAC45JJLAABr1qzx+H2TeAgyOI7Dcccdh2OPPRYPPPCAsDP2tsulycyh8cAAyut02F7biUM663xefLRaqJMo8FK4Oxhwt6NiOs+ScMXp0tOiS2DyNWYFa9PtmgUKZ++z6eKT4QxmM4d/f1aL73e0AwAyZ0Ti7svmOiyOFGMycWhsHxCiEvsODVgdI5dJUJAeg5KJWokZ8WFWz9FrHt2A/mE9frcsHReelCNc47GxMcHnwRsDvWzBcRwiIiIwODiILVu2YOPGjdi4cSM6OjqQnJyMH374wSUb6+uvvx579uxBUlIS6urqoFKpYDKZkJKSgs8++8yj9wqQeAhKjEaj3byXt1wuLV+zs2cM5Q067KjtQt2+HqtJemqlDCXZsZiXH4+y3Dinh98EG94cHjZdhyw5VXQ5MWvFnaJLR4vadL1mgcTWNWOte0eKcHjl0z34sfwgACA7NRJ3XToXYU4KB1v0DRlQ0zwRlWjQYnjM+rseH61GycQMjsJMDUJUclz64PcYN5hx3glZOP+kfJv3sSPrbHE7qKvCmIkH8bOc4zg0NTVBp9Nh0aJFTr/W119/jT/96U/gOA5LlizB+eefD47jcPfdd2NwcBD//Oc/sXr1apvuzs5C4mEa4yuXy+ExI6qberCjtgsV9VqMjk/+4kkkQG5atJDesKXggw1f+wtMB+Mge3iz6NIV86fpfM0Chfg+Zv9/OkdyzGYOL3+8BxsqeeGQkxaFuy4t83jCsOU5mg8OoqqxG5X1WjRPjAAQI5NJkJcWhT37+gAAV55WgDNWZDslztizl7WCKhQKp8Z/W8JxnNcmSN95551Yv369w2NuvPFGIZ3hDiQejiB84XJpMnGo29+Pijp+9kZnj3XFcaImRHC5zJ8VDbkdv/pA4c4oYk/PN13TG+4WXXoqzmwNphJ7Skz33bW3sBRn0zmSYzZzeOmj3dhYfQgAkDszCn+9ZK5XBsM5YmDEiJqmblQ16lDVoMXgiHXq8rdLMnD5qXkuX0NHUQln/B4iIiLc+kyW7N27F59//jkiIyNRUFAg/Pwf//gH9u7di/DwcLz//vtISUlx+xwkHo5QxG2gLMwJeCYmOI7DQd0oKibSG/VtvbC8e0LVcpRkx2J+fjxKc+Oczln6imBoE5zOD3hx0eXO5m7BREdMZkokFhQkYf7sBKTFh8AbQSiKSlgzVVRH3AbKWgHF4iuYRKvJZMaLH+3GLzUdAID8WdG485IyhKj861vIccDeQ4PYUHkQ32xtE9K11/++CMfPS/H4mllGJcSW1gMDA9i8eTNmz56N2NhYSCQSt4dgOctFF12EyspKLFy4EK+//rpHr0Xiwc9s3rwZzz//PPbs2QOVSoXs7Gxce+21WLFihXBMXV0dnnrqKZSXl8NoNKKoqAg333wzFi5c6NY5LeskvCEkAGBwxICqxh7sqOtCVYPWamGRSiXInxmNuflxmJcX7zWzImcJRre96bwoOlV0GaZEaa53ii4Z0zmS4y3UarXLUZ1gFa0mkxkvfLgLm3fykzZnp0fjzovLhGnB/qZdO4wHXtuB/iH+GXHZ6nz8/rgcr38/LaMStbW1uPDCC2E2m5Gfn4/Fixfj+OOPR2lpqVeNosSsXLkShw4d8srASRIPfuSHH37A9ddfj+XLl+OSSy4Bx3F4/fXXsXnzZjzzzDM45ZRT0NbWhjPPPBOZmZn44x//CLVajTfeeAObNm3C2rVrUVJS4vH7cMflcioMRjPqWvtRPjFaXNdnvbCkxIViXl485ubHI8/BOF5vEKgZFa4wnRdFjuPQ2TuG6qZebK/twJ6WHsdFl7lxSI5zrud+Khy1NQZ7JMdVxOkgTyy9g0W0Gk1mPP/+Lvy6mxcOczJi8JeLy6ZsofQVByeEQ9+QHhIJcP3vC7GiNBmA4++nN1JpZrMZPT092Lp1K3799Vf88ssv6O3tRVhYGBYvXoxly5Zh2bJlHqUWxKxbtw73338/zjzzTDzyyCMevx6JBz9y2mmnQa/X43//+5+gLEdHR7Fy5UpkZWXh7bffxp133omvvvoKP/zwgzDtTK/X46STTkJ6errHoSZLpnK5dJe2zmEhvdG4v8/q9+EhCpTm8N0bpTmxXi2QYuHd6VaJ7shTItg+h+XwJWeKLhM1IZjrZadLWw/4YA3Vu4qvanVs1Zf4414zGs149v2d2LaHH+xWlKXBny8sDdgAv0Pdw3jgPzvQO8jfq9f/vhAry5LtHu9LAcZxHORyORobG/Hzzz9j48aNqKqqgtlsRnZ2Nv785z9j5cqVbr/+Cy+8gOeffx6nnXYaHn30Ua+4WJJ48BMcx+HLL7+ERqPBscceO+l35557LnQ6Hb7//nssWLAACxcuxEsvvTTpmIcffhhr1qzB1q1bvVaRa+s9+iK9MTBsQGVjN3bUdqGqUQe9waJ9b2KHOm9iiJezXvWWHAkTGxmWiyKAoElvTGWFHCinSyB4Q/Wu4s8iX39EJYxGM55+twY76vhBV8XZsfjzhSUBs8bv6B7BA6/tQM8AXwd17ZlzcPxc53f49qIS4uvmLBzHCfMzxPT392PLli345ZdfcNxxx+H44493+jWBw+nvX375BUajEUlJSXjsscfcnqJpCYmHAGMwGLB06VLMnj0bDz30EI4//nhcd911uPXWWycd9/777+Oee+7B2rVrMX/+fJ+/L1+1gRpMHPbs7UX5RPdGz4D1kKTU+DBeSOTHIyc1yinXQ3tW00cKwWKZ7Y6joTNFlxkpEZjrZafLYAnVu4pEIoFarQ7IvWyv68WdRZFhMJrx9LpqlNfrAAClObG4/YLACYfOnhE88J8d6J4QDlf/rgAnzvfMCtrde82ecPAUlv4ODQ2FVqvFhRdeiIMHD3o1/R3wkdxHO88//zz6+vpw4YUXoru7GwAQExNjdRz7GTvG14iVNXB49KynbaAKmQQl2RqUZGtwxal5aOsaFoREy0T/9QHtMA5oh/HJxn2ICFVgbh5fcFmcHWuzGjsYOip8jfjBHaixz8z8aXx83KVFJCZCZXO8eGW9Fh0TRZd7Dw5iLxsv7qWiS1dHsgcDgZ4+Ko7UsPcjHujk6r2mN5jw1LoaVDbwwmFubhxuu6AkYG61Xb2jePC1ckE4XHW658IBsH2vSaVS4V7r7+/Hq6++itzcXCxcuBCRkZE+Ew4A8NJLL0Gv12NoaAh33HEHrr76aiH9/fTTT3sl/U3iIYCsW7cOr7zyCn7/+9/jpJNOwo4dOwDApusXu8ECNc5YIpEI78tbLpcSCTArMQyzEsPw+xXp6B3Uo7KhGzvqulDTpIPBaMbgiAEbKg9hQ+UhyGUSzMnQCOmNuOiQoOyo8DWBWBS9VUeikPOD2IqzY3H56jwc1A1PpDcOO132D+uxofIgNlQehEwqQf6saKFWwt2iS3FtDxA4AeYIJhyCSQQ7e6/ZKiDUG0x48p1qVDXyG575+fG45bziAAuHHdD188/QP5w2G79Z4LlwsITdawypVIrh4WFs3LgRr776KqRSKYqLi7Fs2TKsXLkSBQUFLtlOO3P+b7/9FjKZDKmpqTjmmGOwc+dOAMDcuXPxxRdf4Ndff8XcuXPJYXI6YquAZefOnTj77LNx11134bLLLpt0/Lfffosbb7zRKy023sRX6Y1xgxm7J9IbO2q70Ddk/TBNT47AMXOSMTcvDjMTQr0S6p7ueDvn7886kmAquvR3VCIYhcNUOArVj4zq8fjaStQ09wAAFsxOwC3nFkEeIOGg6xvF/f/ZAW0fLxyu+O1snHxMqt/fR2dnJzZv3oxffvkFv/76K4aHhxEbG4ulS5di2bJlWLJkiVAo7y7t7e1O1Ud8//33SE11/xpQ5CEA/O1vf8O6detw1VVX4Y477hAW2vj4eABAT0+P1b/R6XSTjgkWLNMb3moDVSmkmJsbi7m5sbjqtHzsPTSI8np+iFfrIb4Ab9+hQew7NIh3v2tAdLgSZXlxmJ8Xj6Ks2IBVcAcab4acxUV7nrQJOkuoWoFjCxNxbGGi3aLLzp5RfLmlDV9uaZsoutRgbl68R0WXllEJ8TVjUQlfFl1O17SbvaiEmZPg8berBeFwzJxE3HxOYcCcZ3X9Y3jwtXJBOFy2Oj8gwgEAEhIScPbZZ+Oiiy6CwWBAZWUlNm7ciJ9//hmffPIJJBIJrr32WquaN1dgqe2//vWvuPzyyyf97rvvvsMNN9yA5557ziPhAJB48DtPP/003n33Xdx999249NJLJ/0uKSkJMTExqK+vt/p39fX1UCgUyM3N9ddbdQvLOglvuFxKJPzo6MyUCJx7fCb6hk3YUduFbXs6sKtZB6OJQ9+QHj+WH8SP5QehkEtRlKnB3In0hibStVG2RwqepDcCXYAqlUqQnRqF7NQonHtCFnoHx1HVoEO5qOhyTG/C9lotttfyFfzeKrr0pgCbCsuW1+kK+64PjYzjn29VYs/eXgDAkpIU3HHRPMikkoCkhXoGxvDgazvQ2cvX1lxySh5WL0rzy7ktYe2YTJArFAosXLgQCxcuxO23347Ozk5s2rQJs2bN8ug87D7ydfqbxIMf+e677/Dyyy/jjjvusBIOjFWrVmH9+vXQarVClGFkZATffPMNli9fjrAw/7o0eoJEIhGq873RBsoWtEQVhxPnJ+OEeUkY05uxs6VHSG8MjuhhMJp5F8QGHf4NXniw0eIZyREep1SmI67srjmOC7oQekyECsfNm4HjWNFlay8flXBYdBmLubnxKM7WuO0jIhZgAGwKMHc7EY4U4cAYGzfikTWVqGvtAwAsKUrCDWfOhkE/DnMAilV54VAuOKFetCoXv1080yfnmgomHBzVGCQmJuKss87y+FxMnNhqo2b3WUhIiMfnoZoHP2E0GnHyySeD4zg8/fTTNhewvLw89Pb24vTTT0dqaipuuukmKBQKvPrqq6iursb777+P7OzsALx77+NqesOZ0C7HAU3tAyiv12HHnk7s7xqyOkYTqcLcvDjMz4/HnAxNwNrFggnLmQjskcC6a4L9EXFQNyy0gtobL+6NoktLPGkFncorY7oxOm7EI29Wor6tDwCwrCQZ159ZYNNF1p5DKLt23rjfegfH8cB/duBQNz/I78KTcvG7ZZ7t6N1FLBz8sXHp6OjAihUrbLb8v/POO7j//vuxbt06lJWVeXQeEg9+4sCBAzjhhBMcHsMKWJqbm/H4449j27Zt4DgOpaWluO2221BUVOSnd+tfbLWBAhAK/vbv34/8/HwYjUaXdmjavnFU1OuwvbYLe/Z2Wy0qKoUURVm8y+Xc3DhEe8moaLrCHnDi6MR0sswGgJExI3Y2d6O8foqiy9w4zM2LD0jR5ZEmHEbGjHjkzQo07OdbrVeUJeO6M+Y4lTbyRbFq3+A4HnitHAd1wwCA80/MwZkr0l1+HW/AcRxkMtmkMer+4Nhjj0VpaSlefvnlST+///778cEHH2Dr1q0eR7FJPBBBhTi9MT4+jocffhgff/wxfvzxR0RHR7v9uqPjJtQ092BHnRbldV0YHrV+aGenRgqjxWcmhh9V6Q175k/TyTLbElZ0WTkxyMuW06VKKUOxF4ouLbG3uwZ48eCKyVYwMzJmwENvVKLpAC8cVs5NwbW/K3C73sRRt5A43WmP/iE9HnxtBw5oeeFw7gnZOGtlhlvvxVMCJRwAvih//fr1+P777yelv0888USUlpZaORi7A4kHIigZGhrCH//4R1RUVODBBx/EKaec4rU2UJOZQ+OBAZTX6bCjtlPYoYiJi1LzEYm8OMzJ0ASsN90fMPMng8HgcEGzN0ci2B0bGbaKLi3hiy75qIS3nC7ZdWPjmAFMq2iOPYZHDXjojQo0tw8AAI6fNwNXnz7bay3TrkYlBob1eOC1HTjQxX+fzz4+G2evTA/IJsDbwsHVacwskpuWloY777zTJ+lvEg9EULJjxw7ccccdeOKJJwQ7bm+5XFrS0TOKinoddtRpUbu3GxbZDaiVMpRk8+mNstw4RIa5b6wSbHhi/mTLMtsTG2N/woouK+v5qESH3fHinhddApMFGltYpvP8jaERAx56o1yI5vxmQSqu/G2+T71WHEUlegdG8ff/lqOtk69z+v3KLJx7fMYRIRzcncb80ksvYfv27cI4d2+nv0k8ENMSb7lcWjI8ZkR1E5/eqKzvwsjY5J24RALkpEVh/kR6Y0Z82LRNb7CHijfMn6brHAmGs0WXZXlxmJcb71LRJRMOtgTadLxugyN6/OO/FdjXwQuHkxbywsGf3wOWDpLJZBgaNeKelzdj3yE+AnLmyiycF0DhIJVKhe+WNwjGacwAiQfiCMBXLpcmE4f6/f3C7I3OnhGrYxJjQgQ/idnpMQEzwnEFX09sDAbHRk9gRZf8/A3Pii4dCQdLxDMRgrVYdWBYP2mHf8qxabhsdV7ABPTQiAF//2+5IGTOXJGFK06bAwB+j+b4QjgE8zRm8nkgpj2+crmUySQoSI9GQXo0Ll6VjUPdo3wbaF0X6lt7wXFAZ+9hx8NQtfxweiMnDuGh3h944yn+MH8KtGOjp4Sq5ThmTiKOmZNot+iys2cUX/66H1/+ul8ouizL5ceLM1MylhJyNrJjayZCMM3f6B/ihQNrgT518UxccnJu4ITDqAH/eOOwcDhtaTrOOyED4+Pjdo29xM8Eb+IL4QDwz63Vq1db/dxgMKC1tRWzZ8/GwYMHMTg4iJycHKvjcnJyYDab0dDQ4PVpzCQeiCMO37hcSpASF4qUuJk4bclMDI4YUNXYg/K6LlQ2aDGmN2FkzIgtuzqxZVcnpFIJ8mZGTQzxikdKXODNvQI1P8Gfjo3eRux0ec7xh50uKxp0qGniiy7HbThdLpidhIVzkpAWHwLAvc8UTFNB+4bG8ffXyoUuhtOWzMJFq3ICJhxYsebeCTF36pJ0XHRS9qTaG1vGXr6oMeE4Thij7q/rEQzTmEk8EAFl+/btuOSSS7BgwQKsWbNG+Lm4cthoNKKoqAg333wzFi5c6NLre9vlkhERqsCykkQsK0mE0cShrq0fO2q12F7bCV3fKMxmDrX7+lC7rw9vfdWI5NhQYRpo3sxom+Y5viRY3AyDaUF0B1tOl5ZFl8zp8r3vG4Wiy7LceJR4UHQZyGhO7+A4HhT5JvxuWTou+E12wIQD3x5agZaJLo9TFs3CJavsvx9filcmHEJCQvx2PYJlGjOJByJg6PV63HvvvVZf2La2Nlx00UXIzMzEE088AbVajTfeeANXXnkl1q5di5KSErfOJ5FIIJfLJz00vJHekMskKMyIRmFGNC5fnYMD2hF+iNeeTjTu7wMAHOoewf9+acX/fmlFWIgcZTlxmJcfj9KcWI+q+J16fyLzp2CyQba3IIrD9MGc3lDIpSjOikVxViwumxgvvrOlD+V1XdjV3C0aL86PlPek6NISWwuiOCXlrWgOs3hmTo1nrsjAeSdkBVA4GPHwm5VCe+jJx87EZac4HwGxFK/s2rljNx4I4SCexvz3v/8dgP/sqC0h8UAEjJdeegkDAwMoLCy0+rnJZMK//vUvoXJ43rx5OOmkk/D00097pXLYsk7Ckculq6TGhyI1fiZ+t3QmBoYNqGzsxo46LaoatNAbTBgeNWJTTQc21XRAJpVgdnqMEJVI1IR6/NnEsKjLdHAzFD+wxX8fby+IvkAikSAzNRaZqbE4+ZhUDI8arIouTWYOu/f2YvfeXrz1VaNQdFmWF48CD5wuLfP4ltEcd0WYpXA4a2Umzjk+M2DCYXTciEfWVKBxwsnypGPScNkp7tdciK8L4Dgq0d/fj9DQw2IvEKmKYJvGTOKBCAgNDQ3497//jQceeAAff/yx8HOO4/Ddd99h8eLFk+baK5VKnHTSSVizZg0GBga8XjkskUiEsJ830xuRYQqsKE3CitIkGEwc9uztFbo3egbGYDJz2NXSg10tPXjji3qkxofxQiI/HjmpUR71zYsr/aebm6G9qEQwpjdsda/YLbps0AnhdmeKLt3BG2F6foz1DmGo1DnHZ+Ls47Lcfk+eMjZuxKNrKtHQxguHExek4YrVeV71lbCXUuvr68OyZcuQnJyMpUuXYunSpZg/fz40Go1g+uVrgnEaM4kHwu+YzWbcd999KCsrw1lnnTVJPASqcliMr9IbCpkEJdkalGRrcOVv89DaOSwIiZZ2/qF4QDuMA9phfLJxHyJCFZibF4d5efEozo5FiMr5r6sn5k/BiL0F0TK94YyFsTdxpu3V3aLLublxKMuNR9YM950u3akx0faN4sHXytE1Mcb6vBOy8PuVmW6d3xtYTus8YX4q/vBb7woHS8TiNTw8HK+++ip++uknbNq0Ce+//z4UCgUWLFiAFStWYPny5cjI8J2vRLBOYyafB8LvrF27Fo8++ig++eQTZGZm4pJLLgEArFmzBjU1NTjnnHPw17/+FZdffvmkf/fdd9/hhhtuwHPPPYdVq1YF4J37zuWyb8iAigYdymu7UN2kg8E4eTctl0lQkKHB/In0Rly0/RymN82fgp1AekqwsDXHcW4XpLnidOlp0aUlYk8JZlB1UDuIe/+1Bdo+/vNc8JtsnLE8MLMhAGBMb8I/11Riz75eAMDx81Jx9em+dbK0B0tVHDp0CL/88gs2bNiAbdu2Qa/XIzU1FStWrMAZZ5yB4uJir50zmKcxU+SB8CsdHR148skncc011yAz03o3wx7C/q4cdhZfpTeiwxU4fm4yjp+bDL3RjF0tfHpjR20X+obGYTRxqGnqRk1TN177HzAzMVxoA2U7U/EueGxsLOjqAnxBoLoQvNX2aqvo0tLp0l7R5dzceKR4oeiSRSW0/eO4/9VtgnC4/NQCnL4sPWCpoXG9CY+9dVg4rJw7I+DCQaVSISsrC1lZWbj00ksxMjKCbdu2YcOGDfjpp59QX1+PtWvXeu28HR0d2L9/PwDgnHPOsXkMm8b89ttv4/HHH8dtt90mTGN+8803fSIcAIo8EH7m+uuvx969e/Hpp58KizCLPPznP/9BfX09zj77bNx111247LLLJv3bb7/9FjfeeCOef/55nHTSSX5/747wlcslxwF7Dw2hop5PbzALXjFR4UrMy4vHsUUpKMmJg4QLvoLCQOAr62d/+WVMcrps0KF/yL7TpadFlx3dI3jwtR3oHuA/z2Wr83HGiqyAzd/QG0x4bG0VdjbzRYDLy1Jw/RnuT+v0FI7joFarhQJre8cA3olETgco8kD4ja+//ho//vgj/vWvf02q/mcP8htuuAFdXV0AbFcOd3Z2AvBN5bCn+MrlUiIBMlPCkZkSjrOPy0DPgB4VDTrsqO3CzmYdjCYO/UN6/FDejh/K26GQS1GYqRG6NzwpvJvu+MJTwp9GW/4qujyoG8bf/1uOngnhcPnqPJyyKE1o8/O3sZfeYMLjIuGwtCQF1/3Oe9M6XcUZ4QAcPaKBQZEHwm/ceeedWL9+/ZTHhYeHY8GCBXjxxRchk8lgMpkgk8lw//3344MPPsDWrVt9UgDkK7zlcmnJuIFPb2yv7cKO2i4MjljvTDNSIjAvj09vZKREHHUPOHs4mtBob2cdLEZbAGwWXVriTNFlu3YYf//vDvQO8p/nyt/mY9UxaXbPK/ZGsJy/wf7bE/QGE554uxrVTbwj4pLiZNzw+wK/m6oxnBUORyMkHgi/sW/fPqHvWMw//vEPAHxK4/bbb8esWbOwf/9+fP/994iPj8fatWvxyiuvoK+vD8ceeyz+9a9/TXmunp4erF27Fh9++CH+8pe/2PSHDwTerJMQmz+Nj+vR3D6I8on0xv7OQavjNZEqoXujMFMDpYIeiIBz6Y1gEg6WiIsuKxt0gi+DGFtFlwe6hvDgf8uFdMhVp+XjNwvtCwdbeDM1ZDCa8eQ71ahs4J8Ri4qScONZcwI6bE6pVEIupwC9LUg8EAGHzahfs2YNrrrqKrS1tWFgYADJycnIycnBZ599JhgFffTRR3YLgMxmM6RSKWpqavDQQw9h165d+MMf/oDzzz8fKSkpwu+DBU/qJKYyf9L2jaNiYojX7pZuqxHTKoUURVmxgpiIjlB550NNc2x1b7BiOZPJ5NeZIO4yqeiytRcmk/V48dSEMBzUjQhdPdf8bjZOmJ/q0Xk96XwxGM14al01Kup54XBsYRJuOjtwwoHjOKhUKhIODiDxQAQccavmK6+8gldeeQU333wz/vvf/+LgwYOQyWQoKyvDnXfeiYKCAochxObmZlx99dXo6urCCy+8gJUrVwJA0AkHWzjrcsnMnwwGg1PmT6PjJtQ092BHnRYVdV0YGrUWG9mpkZg7kd6YlRRO6Y0JxHNRAlE46CnOFF1ed0YBjps3w+vndjY1ZDSa8fS7NdhRx3tcLCxIxJ/OKYTczeJPT+E4DkqlUuju8gZ1dXW45ZZbsHfvXnzxxRfIysqy+r03Zvn4ExIPRFBx6NAhnHLKKUI4/o9//CPOP/98hIeHCw9wS1hNRFNTE+655x7U1tbijjvuwCWXXDJJNJjNZkgkkmmxMNpKbwwPD+Oxxx7D8uXLsWrVKrcWL7OZQ+OBAX60eG0n2iemJIqJi1JjXn485ubFYU6Gxu0K/umOZXTHcmcNIKgtsy0xmznsPTSAinodPvqpBWaOF40PXXuMz89tKyphMpmgNxjx+FsV2F7LF0ovmJ2AW84tOqKEA/O1iYqKglartRIPbW1tOPPMM5GZmYk//vGPwiyfTZs2eTTLx9dQTIYIGnp6evDZZ59hbGwMKpUKd955J84991zh9/YWfRaJeOedd1BVVYXrr79eiGZIpVLh4R8aOnluhNFohFQqDcqIhKXLpVarxbXXXovW1lace+65MBqNbokgNio8b2YULvxNFjp6RifSG1rU7u2GmeOtib/euh9fb90PtVKG4uxYzMvjxURkmLX/xpEIEw5ia+/pZJltC6lUgqwZUciaEYVvtu3HwLABRZmxfjm3rWvHQYKn11ULwmH+7ATcdkEppJLAiDBfCIdt27bhn//8J/72t7/h0KFDeOGFF6yO8ccsH19A4oEIKCxqsG/fPvzzn//Er7/+itmzZ+PgwYNCvtFexEFMdXU1PvroI2RmZuLCCy+c9NpNTU244YYbsHjxYtx1113gOA5hYWHTJp8pkUhw4403QqvVYu3atcjLy4PRaPSKy2WSJgSrF6Vh9aI0DI8ZUd3Epzcq67swMmbEmN6EbXu6sG1PFyQSICctSujeSE0ImxZRHFexJRxsMZVldjBHJVitQ6CiSnq9Ac+9vwu/7ubbr+flJ+DOS+dDpQzMtfOFcACA6OhorFu3DgUFBXj++edtnjcQs3y8wfR4ehJHLDKZDDt37sQtt9yC9vZ23HvvvTjttNNw1lln4ccff8Tvf//7KReooaEhfPXVVxgfH8dZZ50l+ECwiERbWxu0Wi3Gx8fxzDPPoL29HU1NTVi4cCHOOeccm3ayRqMxqMTF9ddfj7y8PKSkpACAT1wuw9RyLC5MwOLCBJhMBajf3y+MFu/sGQHHAQ1t/Who68c73zYhMSYEcyf8JGanxwS0Kt5bsHqS8fFxl9JCvvCU8CX6CfGgVPj/b2YymfH8B4eFQ1luPG45txAmowGjJqPfr52vhAOAKQdSBcMsH3cJnqcjcdRhMBjwr3/9Cy+88AISEhLw4osv4oQTToDRaMTcuXPx448/oqenZ5IiF8MiEq2trdi0aROysrJwzDF8/pZFHYaHh7Fnzx4YDAZUVFQgPz8fS5YsQXZ2Nj7++GN8++23ePrpp7Fo0aJJry0WDiaTSehvDxTHHXeczZ/7aoiXTCZBQXo0CtKjccmqbBzUjaCioRvbaztR39oLjgM6e0fx5ZY2fLmlDSEqOUpzYjEvPx5lOXEID/X+g9jXiKeQelIMGSjLbGcxmzmhA8PfkQezmcOLH+3Gll28cCjJicNt5xcJbcOW187XER2O44RIUyDo7ub9LGJiYqx+x37Gjgk2SDwQAcNsNkMul2PlypW48sorsXDhQhgMBigUCqxYsQKffPIJNmzYgDPPPNPmv2eLYnNzM/bu3YsLL7wQ6enpk37X3d2NiooKAMB5552Ha665Rjh3VlYW/vKXv+DZZ58VxIPJZMLDDz+M1NRUXHHFFQAwqbvDmRRKoPCVyyUApMSFIiUuFL9dnIahUROqmrqxo7YLVQ1dGB03YXTciC27OrFlV6dQV8HSGynxwW/oxaaQ+mKYmDdGZHsTvWjomj/Fg9nM4aWPduOXmg4AQFF2LG4/v9ih34gvIzocxwleKYGCeYYE6ywfR5B4IAKGSqXCddddN+ln7AtTVFQEuVyOX375BWeeeabdRVuv12P//v0wm83Izs5GeHg4AAhRgtbWVtTV1WHhwoU4/fTTARxOSeTk5CAhIQEKhQJ9fX2Ijo7G7t27sW7dOkRFReHkk0/G22+/DZPJhFWrVqGkpGTSe2BpAlY9zujp6cEjjzyChQsX4qyzzgpYxEIsJLzpchkeIsPSogQsLUqAyQzUtvZNjBbvhLZ3FGYzh9p9fajd14e3vm5EcmyoYJedNzM6YG6B9vClcLAkGNIbBuPhaIdS7h+jMLOZw/+t342N1YcAAEVZsfjzBSVQKZ0/vzcjOkw4sEFygYKd35ZXCxMWISH2J+h6E1c3RiQeiIDBvuy2agvS0tJw3nnn4csvv8S+ffuEiIIt9u7di7CwMCQlJQE47Omg1+uxZ88eDA4OYv78+cLv2fl0Oh2Gh4eRkJAgPGy2b98u5D8fffRRGI1GdHZ24rXXXsNZZ52Fe+65ByEhIYJosIVGo4FSqcRLL72E5cuXIzEx0eF1GBkZwXPPPYcvvvgCfX19SEtLw6WXXorzzjtPOObAgQN48sknsXnzZoyMjCAnJwfXXXed0wPCJBLJJM8Cb9VJyKRAYUY0CjOicdkpOTigHeHbQPd0omF/HwDgUPcI/vdLK/73SyvCQuQozYnD/Px4lObEem28tLv4UzhYEqj0hsHPkQezmcPLH+/Bz1W8cJiTqcEdF7omHGzhTERncHAQBw8exKxZs4T7OxgiDgxWn2Vrlg9z4/X1LB+9Xg+lUmn1/Z/KG4fEAxEwWL7eHvfeey/uvfdeu783m81QKpU4cOAApFKpsEizxbC3txeVlZWIjIxEQUGB8G9Y+2ZtbS2Gh4eRl5eH2Fi+Za2iogKjo6NYsGAB7rnnHoSFhaG3txd33nknPvzwQyxduhTh4eH49ttvsX//fpx00kk45ZRTEB0dPWkRvuCCC/Dhhx9ix44dOPXUUx1+huuuuw67d+/GHXfcgaysLKxfvx733XcflEolzjzzTPT39+PCCy9ESEgIHnjgAcTGxuKjjz7CzTffjOeee87lCaO+qpMAgNT4UKTGz8Tvls7EwIgRVQ06bK/ToqpBC73BhOFRI36p6cAvNR2QSSWYnR7Du1zmxyNJEzr1CbyIWq2GRCIJmvHlthZDNojLm+mNSWkLHxdMms0cXvl0DzZUHgQAFGRo8JcLS6D2UDhYn2dyRIddv88//xwPPvggEhMTsWzZMixZsgSLFi1CaKj7o8y9SVJSEmJiYlBfX2/1u/r6eigUiimLLj2hqakJDzzwAMLCwpCWlobCwkJkZGSguLh4yogpiQciKHEUlWBIpVKYTCb09/djdHQUs2bNEn4OAO3t7dizZw8yMzOFL6BYWFRUVECj0SAvLw8An+LYvXs3YmNjcdtttwmKPzQ0FHPnzsX27dvx/PPPIzExEVlZWUhMTMRDDz2ETz75BE888QRSUw/b+2o0GsTFxeGrr77CqaeealfFf/HFF9i6dSueeeYZnHLKKQCAhQsX4uDBg6isrMSZZ56JN998E11dXfjss8+Equz58+ejubkZTzzxhEfjyS3rJJx1uXSGyFA5lpcmYXlpEgwmDnv2TaQ39nSiZ2AMJjOHXS092NXSgze/bEBqfNiEOVU8ctOifDZFUSKRQKVSBZVwsMRSyLHF0BvpDYPh8PFKH0YezGYO//6sFj+W88JhdnoM/nJRCdQq3y474ojN6aefjtTUVGzatAk///wzPvjgAygUCixcuBArVqzAypUrhedGoFi1ahXWr18PrVYrPHNGRkbwzTffYPny5T4bAshxHCoqKqBSqTA4OIgPP/wQa9asgUwmw7Jly3DhhReisLDQbsE6iQciKJkqKsEYHR1FamqqYNXMFmmz2YzGxkZ0d3dj1apVQoujWFjs3r0bubm5yMjIAMBHHTo6OrB69epJDnBDQ0MYGeGHDSUlJeG1114TRAsAfPzxx9i8ebNgaGUymZCSkoKMjAy0trZOeihY8vHHHyMpKQknn3zypJ+/8cYbwv/+9ttvkZeXN6mdSyKR4NRTT8XDDz+M+vp6QQB5ikQi8UkbqEImQUlWDEqyYnDlqblo7RxGeZ0WO2q70NzOX8cD2mEc0A7jk437EBGqQFkuP3ejJCcWIV5acJhwABC0wsES8WII2O5AcCW9oRfVPCh8VPPAcRxe+18dvt/RDgDImxWDv1xU6rW/o7PIZDIsWLAA8+fPx+23346Ojg5s2LABP//8Mx5//HE8/PDDSE9Px8qVK3HxxRcjLc21wWBTceDAAfT29gIAurp4M6ympibheZKXl4c//vGP+Oqrr3DdddfhpptugkKhwKuvvorR0VHcdtttXn0/YiQSCc4991zhudXa2orW1la89NJL2LRpEyoqKnDiiSfiqquuQmZmptW/J/FATFvMZjPCw8MRFxeHLVu2oKWlRfBs6Ovrw48//giTyYQ5c+YIIXrmsd/Q0ACdToczzzxTqIXYvn07AGDZsmWTWrd6enqwc+dOpKSkCN0aAB9dWLlyJT7++GO0tLQIP2e7eL1ej6amJodtYNXV1Vi6dKndBdloNKKlpcVKXAAQxERtba3XxIMYX6Y3ZiWGYVZiGH6/Ih19QwZUNuiwo7YL1U06GIxmDI4Y8HPVIfxcdQhymQQFGRrMm0hvxEe7V0AmFg7j4+PTQjjYwl7RJctbi4WErc8ornnwReSBCYdvtx8AAOTOjMadF5cgVB2Y5YZNRVWpVEhPT0d6ejouu+wyDA8PY8uWLdiwYQO+/vprREdH4/rrr/fquV944QWsX79+0s9uvvlm4X9///33SE1Nxdtvv43HH38ct912GziOQ2lpKd588027QwC9BSuelkqlSEtLw6xZs1BYWIhffvkF7777Lj766CO0tLTgrrvusvLDIfFATFtYFKGkpATr168XKpY5jkN4eLggAljKgqVBBgYGUF1djdDQUOTn50OpVKKnpwc1NTUICQlBaWnppPPs27cPDQ0NWLZs2aTXkslk2LFjBwAIoU/WydHT04Po6GjExMRgZGQE0dHRVu9/YGAAAwMDSEpKwtq1a/Hmm2+ivb0dCQkJuPjii3HZZZdhYGAABoPBYR+4rWIrb2OZ3mBCwhsul9HhChw3NxnHzU2G3mjG7pY+7KjXYkdtJ/oGx2E0cahp6kZNUzf++3k9ZiaGT3RvxCNrRqRT6Q2JRAK1Wg2O44K29c0dnLHMFqc4AN+2anIch9e/qMc323jhkJMWhb9eUhqwwlixcLC8P8PCwnDiiSfixBNP9Nn5H330UTz66KNTHpeVlYWXX37ZZ+/DHmzWDxMQZrMZGo0Gv/3tb7Fo0SI88sgj+Pzzz3HrrbfiySefnPRsJPFATHtWrlwJuVyOjRs3Yt68eULo/aKLLsJFF10kHMcWvgMHDuDHH39ESkqKEI6rqalBS0sLFi5ciBkzDk8Y1Ov12L17N0ZGRlBSUiLk/1g04ccffwQAYfodEzQqlQoGgwFKpRLd3d1C2kQMC11+/fXXSEtLw1133QWlUon//e9/+Oc//wmdTifM6Ai2PnCpVOqT9IZSLkVZrgZluRpc9ds87OsYmmgD7cK+QwMAgLbOIbR1DmH9hr2ICldi7kR6oyg71mYhnrjo8EgSDrZwpgPBbD78d/FmwSTHcXjzywZ89et+AEBWahT+eklZQIUD+9sHQ3FkMGHZlsn+NxMQUqkUcXFxePLJJ6HRaLBmzRo8/PDDuP/++4XicxIPxLSG4zgkJSXh1FNPxXvvvYcrrrgCERERkEqlVhbT7AsSHx+PlStXIjo6WhAKmzZtgtlsxooVKyYt1KywMi4uDrNnzwZwOLrQ2tqK9vZ2FBYWCjUSTDyw1Eh0dLTdegcmZpjTplqtBgAsWrQIXV1deOONN3DVVVcJx1ji7z5we1imN8SFfJ5EJSQSICM5HBnJ4Tj7uAz0DOhR0aDDjrou7GzqhtFkRv+QHj9WHMSPFQehkEtRmMmnN+bmxSM2Si0sHmazGePj497+6EGNvfSGmTv8twgLUQkLhidwHIc1XzXgiy1tAIDMGZG465IyhIUEVjiwjhriMGLhUFVVhcrKSkRFRaGkpARZWVmQSqWT0hl33303RkdH8cEHH+D111/Hn//8Z8THx5N4IKY37Etw++23Y/bs2dBqtYiKihJ6uW2RkJCARx55RPj/RqNRsIC1HH/b3t4u1BQwrwn2oP3uu+8AAEuWLAHA7/qYYdSBAweg0+lQWFgo1FRYEh0dDZlMhjlz5gjCgbFkyRL8/PPPqK+vF9IqlvirD9wVxEIC8K7LpSZSiRPnp+DE+SkYN5ixs7mHL7qs68LAsB4GoxmVDTpUNuiAz+qQkRyBYwqTMX92AlLjju5FRJzeGBoZFX4eolZCrVZ55CnBcRzWftOIzzfzwiEjJRJ3Xzo3YBblJBwcw67J119/jfvuu08o/M7Ozsbdd9+NRYsWTfLEkEgkuPXWW9HZ2YnvvvsOp59+OokH4sghISEBl19+ufD/HT00WGid7fzlcjmefvpp3H333YiKihKOM5lMqKqqgk6nw7nnniv4SLB/9/XXXwMAli9fbnWOn3/+GQCEEJ8tFAoFsrOzbQoD9gBXqVTIycmx2wcOAHPmzLF7jkDjK5dLlUKK+flxmJ8fh2u42WhuH0R5PZ/e2N85CADYe2gQew8NYt23DYiJUAl+EkWZGoeWyEc64oJJk0GPsTHObctsjuPwzrdN+GxTKwAgPTkSd19WFlDhwOpbSDjYZ+fOnbjvvvuwbNkyFBQUoLm5GR9++CFuueUWPPbYY1ixYgUkEgnMZjMkEgliY2NxxhlnYNOmTXj22Wcxd+5cEg/E0Yel3wJ7OMbFxU36OZu9ERcXh8zMTMFXQiaTYXBwEDU1NUhNTRWKiMRdFp9//jnkcrlNYSFm9erVePbZZ9HY2DipFXPDhg0ICQlBfn4+Tj75ZDz55JOoq6tDfn6+8N4+++wz5OfnC62mwY6vXC4lEiA7NQLZqRE474RMdA/oUdHQjW27O7C7pRsmM4fewXF8v6Md3+9oh1IhRXFWLC8m8uIRHRFYi2J/Y1kw6a5lNsdxePf7ZnyycR8AYFZSBO6+rAwRoYFxbmTCISQkxKfCoa6uDk899RTKy8thNBpRVFSEm2++Wah7mg40NTWhtLQUf/7zn4VNUXJyMl544QXceuuteOyxx3DiiSdOeuadcsop+PLLL7Fhwwa0tbWReCAIew8ahUKBSy+9FJdeeqmQLzebzZDJZPjqq68A8PUJMplM+IJxHIctW7agvr4ey5cvR2FhocNzX3zxxVi/fj2uuuoq3HnnnYiOjsann36KrVu34qabbkJoaCguvvhifPDBB7jppptwxx13IDo6GuvWrUNzczP+/e9/e/di+AnfTQOVITUxCslx4fjN/GSMjptQM5HeKK/rwtCoAXqDGTvqtNhRpwVQi+zUSMydGOI1Kyn8iN+xssiDTCax6lSx171hy1PinW8asH7DXgBAWmI47r5sLiLDAiscfB1xaGtrw0UXXYTMzEw88cQTUKvVeOONN3DllVdi7dq1VmnPYIEVQY6OjgrtvElJSUhMTBSeXTfeeCOUSiWeeuop3H777XjkkUewevVqYdKsUqnENddcg++++w4///wziQeCcAT7YjF/ANbhEBUVhbS0NCxbtmzScS0tLXjrrbcQGhqKVatWTWl0FR4ejrfeegtPPPEEHnjgAQwNDSEjIwP/+Mc/cM455wDgHS7XrFmDxx57DPfddx9GR0dRUFCAf/3rX1ajxKcjzrhcOrMgsHkFBoNBKDANUclwTEE8jimIh9k8G40HBvjZG7WdaNcOAwCaDgyg6cAA3vu+GXFRaiG9MSdD4/eR1f6AOUw6MxRLXAMh/jt99NNefPgT722SmhCOe6+Yh6ggEA6+HkL30ksvwWQy4V//+pfQeTVv3jycdNJJePrpp/H666/79PzuwITDnj178Oyzz2Lfvn0AIEQsZTKZMM34mmuugVKpxKOPPoq//OUvMJlMOO2004Qi8tTUVMTFxWHfvn2QcNPVKYUgggjWgfHoo4/i9ddfxwUXXIAbb7xRmJlBuIdleoPlYC3FhC3hMBWdvWOoqNdhe20Xavf1wGye/ChUK2Uozo7FvLx4zM2LC9iu2tu8820jPv55H6LClHjlzhUu//sPf2rBe983A+CFw0PXLYYmKsQvE0Et8adw4DgOCxYswMKFC/HSSy9N+t3DDz+MNWvWYOvWrYiMjPTp+3CHuro6XHLJJZDL5TCZTMJ35P7778dpp50mzPthm6O3334bDz74IADgoYcewllnnSWIkD//+c9ob2+nyANBuIPRaBR2yiwE/9133+Htt9/GzJkzcfPNN9s0diJcY6r0Bsdx+M9//oPBwUH85S9/EcLtzpAYo8Ypx6bilGNTMTxmRHUTn96oqO/CyJgRY3oTtu3pwrY9XZBIgJzUKMGcKjUhbNqmN1jawp2oyvoNewXhkBIfhnuvmAe1gvfPsJfeENe0eBMmHNhkVF9z8OBBDA4OTqpNYuTk5MBsNqOhoQHz58/3+XtxBvF04RdffBFLlizBtddeC6PRiG+//RZr1qzBv//9bygUCqxatQoKhUIQEBdeeCGkUinuv/9+JCcnA5jchq5Wq0k8EIQ7iO2uAX5Gxb333ou0tDQ89thjiImJsTJiITzDMr1hNBrx97//HevWrcM999wjFPy5Q5hajsWFCVhcmACTqQANBwYmzKk60dE9Ao4DGvb3o2F/P975tgkJMSG8n0R+PApmxUA+jdIbejfFwycb92Hdd00AgOS4MNx3xTxEh/PRmKkss70dlRALB3Y/+BrWzu3I7ZUdE2iYcOjq6kJoaCiioqIwf/58wasmMTER4eHhePnll/Hiiy/CZDLhlFNOgUKhEKKo559/Po477jgkJiZO8n247rrrkJ2dTeKBINxFIpHg0KFDePjhh7Fx40YsX74cf/rTn5Cbm0vCwQ/897//xbvvvou///3vOOecc7zWvSGTSTB7VhRmz4rCxauycah7FBX1Omyr7UR9ay84DujqHcWXv+7Hl7/uR4hKjtIcPr1RmhsbsG4DZ3En8vDZL/vw9jeNAICk2FDcd8U8xNjpUrFXdCmXy90a5GUPfwoH4LApW7C5vdpCKpWiv79fiChkZ2fjvPPOE36fkJCAs88+GwqFAi+++CJeeOEFmEwmrF69GkqlUhAQCQkJk14TgDBvg8QDQXiASqVCTEwMbrnlFpx77rkIDQ0F4L4REuE8ixYtwn//+1+haNQXLpcAkBwbglMXp+HUxWkYGjWhqqkb5bVdqGzowui4CaPjRmzZ1YktuzohkQB5M6MxfyK9kRLvm3HKniAUTDppTf355la89RUvHBI1objvivnQRDrf3uqMZbYznhIMFjb3p3AAIBRNB7Pbqxg2WnvTpk2orq7Gxo0bkZeXJ4gfjUaDM844AzLZ/2/v3uOirPO/j7+Gw4iEAcrBUjMFFDUMAcnzYQtaddVobc21x2astkqURt2rPbrNte2krrk32a2rkrppmZnETaXriUrXyqBfpSZIpKGiiOQpIYbD3H/QXIGgcSmHsd7P/5zrmpnvgMqb7+HzceXll19m6dKl2Gw2xo4da3xWx7+Z+v7tKDyIXIW2bdsaG4ukeV3qGGxTVrn0au3KoLAABoUFUFkF2d+eIfPH5Y2i06XY7dWPZX97hjX/yeWGdp7G6Y3Qm3xwdW355Q3HskVDTlu891E+/950EIAA39Y89UAk7byvvC7GldaUcGip4AA/VXJ11mqvNWc7Hc0Bn3vuOebNm8eGDRt44403CA8PZ8CAAcZzfH19GTt2LFarlfnz57Nw4UL69u3boNoxCg8i8ovWVFUuXV2gVxcfenXx4f4RIRwtKjFObxzMPw3A8eIS3t2dz7u787mutRvhIdWFqcJD2rVY34fyiupZgJ9bttj8cT6r36uuYurv05qn4qPw8/G47HPMuNzyRn5+PtOmTSMsLIzBgwfTr18/2rRp02LBAaB9+/b4+vpestprzQ6+zc2xzFBVVUVJSUn1hkY3N7y8vIyGe2vXrmXmzJnMmzevVoDw9vZm5MiRVFRU4OXl1eCiczqqKSK/So1Z5fJi50oq+PzgKTKzi/g8t4gyW+21fVcXC6GdfapPb4T6076t51W/Z0PNfSWTrw6dJirUn/81Mbzee7bsOUJKejYAfj4e/C0+Cn/f5puSr6io4JVXXuH999/nwIEDuLq6EhERwfDhwxk2bBhdu3ZtkaXBOXPmkJqayvbt241ZhpKSEu644w7Cw8PrHOFsDo7gUFZWxuzZs8nOzsbNzY0//elP9O/fn8DAQGw2Gy+++CKrVq2ibdu2PP/88wwdWvuYbs2jmg3Zs6XwICJOpaqqio0bN7Ju3ToOHz5MeXk5QUFBTJgwwSicBY1bJrgxq1xerLzSzoHD1csbmQcKKT5bd1NdB//riOzuT2SoH906+dSp/NiY/veyPeQeOUv/WwKZMb53netbPz3Kiv93AIB23h7MiY8isG3LreUXFhby0Ucf8eGHH/LRRx/xww8/cNNNNzFs2DCGDx9OVFRUvZsYm2osY8aMoWPHjjz88MO4u7uzfPlyvvjiC958801jM2FzcfyQr6ys5J577uHQoUP4+voapywmTJjAuHHj6NSpE5WVlSxatIgVK1bg7e3N888/z29+85srfm+FBxFxKvPnzyclJYWJEycSExNDZWUl6enpvP322zz++ONMmTKF/Px84uLi6Nq1KwkJCUaZ4F27djVKmeArrXLZEPmFF4wql18fPVvnehtPd/p0q17e6B3cDk+Pxl1dnvnyxxw+cZ6hfW4g4e7a+0a2Zx5lWVp1cGh7vQd/+3PLBge73Y7Vaq11muGTTz4hIyOD999/n+PHjxMaGkpaWlqzjSkvL48FCxawZ88e7HY74eHhJCUlERYW1izv7wgMNWcHZs+ezb59+5gxYwY9e/bk448/ZvXq1Rw8eJCJEydy77330rlzZwD++c9/kpKSgpubG3PnzmXMmDFXNA6FBxFxKlFRUQQHB7Nu3TrjMbvdTkxMDNdddx1paWnMmjWLzZs3s2PHDqNMsM1mIzY2lptvvrlRywQ3tMrllTjzfTn/8+Pyxpe5RbWaVkH1sdFeN/sS8ePpjYBGWDp49P/spuDUBWL6dmTymB7G4xlZx1j69lcAtL2+FXPio2jfrvmWUy52cXCo73pOTg7ff/+90xRmakpHjhyhU6dOwE/l8AHOnDnDnDlzGDBgAHFxcVitVmw2G1lZWSQnJ7N3717uvfdeJk6caOxnWLx4MYsXLyYxMZHExMQrGo82TIqIU7FarcaRVweLxYKXl5exyXHbtm0MGDDACA6O58XGxvLqq69y7ty5RisT3FRNvAB8vNwZHnEDwyNuwFZRxf5vzpCZU728ceZ8GZWVdr7M+44v875j1bs53BTo9ePyhj9BHa6/ouWN+jZMfvA/BfwrrTo4+LZpxVMPOHdwgOqvuaPL7C/df/7zH5YtW8Zbb71lNOcDmDFjBv7+/uTl5fHQQw8ZJdqtViu33XYbSUlJJCcn8/rrr1NZWcl9991HUFAQiYmJREZGXlVvHIUHEXEqDzzwAC+++CIbNmxg1KhR2O120tLSyM7O5rnnnmvRMsEXV7l0BInGWN6wurnQp1tb+nRry+Tfdefwie/JyjnFp18Vcvj4OQDyC78nv/B7Uj88hLeXlYgflzfCgtvhYW3YKYSLK0x++HkBS1L3Y7eDT5tWzH4gkhv8nDs4/Nrk5uZy7NgxysrKjP0dBw8eZN++fRQVFVFWVsahQ4fo1q0b7u7uRoXJqKgoZsyYweLFi3nzzTepqKhgwoQJ9OzZ0wgONWcxzFB4EBGnMmXKFDw9Pfnb3/7Gk08+CVQX35k3bx5jx47lyy+/BJyjTLCLi4vxn7nj6OHF/RyuJExYLNDlBi+63ODFuGE38905G58dPEVm9kn2fl1MRWUVZ7+3kfFZARmfFeDu5kKvLr5EhfoT0d2fdt6XPlJZs8Lkzi+O8383VgcH7+usPPVAJB1asLCV3W7H3d1dweEi3t7enD9/npMnTxpLF8HBwTz33HPGqZQ1a9bQuXNnQkNDcXFxMUJBZGRkrQARERFBz549jde+0qOvCg8i4lQ++OAD5s2bx4gRIxg7dizl5eW8/fbbPPXUU/j6+hpLGs5WJthisRg/+Bq7ymXb663cEXUjd0TdSFl5FXvzqpt4ZWaf5NwFG+UVVXyeW8znucWQns3NN7QxTm90uaH28oYjPBScusBb73+D3Q7XX2dldrxzBIfmOjlxLQkLC6OyspINGzbw6KOPGn0moqKijKCwc+dOli9fzpQpUwgNDcXV1dUIELfeeivTpk1j4MCBxMXFNcqYFB5ExGnYbDaefPJJ+vTpw4IFC4zHhw8fzu9//3uefvppFi1aBDh3meCmrHLZyt2FqFA/okL9eNDeg7yC83yWU8SnX50kv/A8AIePn+fw8fO89f43+LZpZVS5vKWLrxEedu8tBKCNZ/WMQ6cAr6v92FfMbrcbbdWbSkVFBcnJySxbtowRI0YYf49qqqysZNmyZaSmplJQUEC7du0YOXIk06dPx8Oj8QpkmXXjjTfi5+fHp59+is1mw2q1GsEgKioKV1dXLBYL7777LpWVlUyZMoVevXrVChARERFEREQYn/Nqi20pPIiI0zh8+DBFRUVMmjSpzrXo6GheeeUV2rVrBzhvmeD6XKrKZc0SzFe6vBHcoQ3BHdrwh9905dTZMrJyTpGVfZJ9ecVUVtk5fb6M7ZnH2J55DHe32u/RxtOd2Q9E0imw5YODo59CUzh+/DhJSUkcOXLksv0znnnmGdavX09iYiLR0dHk5uYyf/58Dh8+zJIlS5psfJdTVVVFQEAAo0ePZuXKlWzcuJF77723VjDo06cPiYmJuLm5sXnzZioqKnjwwQfp3bs3rq6uxh4Ih8ao0qnwICJOw7Hc4ChZXJNjpsFisThtmeCGqG95o7GqXPp5t+LO6A7cGd2BUlsle/NOk3ngJFnZJ/m+tJzyip9+cLq7uTD7gSg6t2/54NDUSxV//etfcXV1JTU1lUGDBtV7z5EjR3j99deJj49n2rRpAERGRlJVVcXcuXPJzMxskSOhjh/6Q4YMYeXKlSxdupSQkBAiIyNrBYPevXvz0EMP4ebmxtatW6mqqmLSpElER0fXCg6NNq5Gf0URkSsUHByMh4cH//3vf+tc27NnD/7+/rRv354777yT3bt3U1RUZFwvKSlhy5YtDBkyhOuuc75ulvVxLG94eHjQunVroyeBowjQ1ZThaW11JbqHHwl392T5rKE8/eBt3DWkK64/7n+YPj6coI4+LdYBtmZwaOoxjB8/nlWrVl12Rmr79u3Y7XZGjx5d6/FRo0ZhsVjYtm1bk47x5/Tv35/p06dz4sQJXn31VfLy8gCMPQ8AvXr1IiEhgZEjR7Jjxw527tzZZOPRzIOIOA1PT0+mTJnCSy+9xMyZM42jmqmpqeTk5DBnzhwsFgsJCQls3ryZqVOn1ioTXFpaSlJSUkt/jCty8THQxqxy6eJioXun6+kd7E/8mFuoqKjAxcXFOC3yc90sG5vdbsfV1bVZggPA7373u5+9JycnB4vFQlBQUK3Hvb29CQgI4MCBA001vJ/lmF0YN24cubm5bNq0CT8/P+6//346depUawkjNDSUP//5zwQFBRkzKE1B4UFEnEpiYiKBgYGsXbuWTZs2YbFYCAkJYdGiRYwcORKAwMBAXnvtNRYsWEBSUpJRJvjf//53s/cXaCoWi6XWMdCrrXLZqlUrXFxcKCsrqxUQanazvPikiOM32sbkCA6tWrVqsVmP+hQXF+Pl5VXvEoqvr2+9e2wa26UaUjmWHfz9/Zk0aRKnT5/mtdde48KFC0yYMMHY2+BobtWzZ0/jOKajcVZjU3gQEadzzz331GqCVZ+goCCWLl3aTCNqWVdb5fJSwQGoFRJcXFxqhQnHeznuudpuBo0ZHMrLy8nPz7/sPW3atCEgIKBBr1ezANPF3N3dOXu2bh+SxlQzOJSUlODp6VlnoyNA7969mTp1Kp6enqSmppKfn8/48eMZM2aMcVTZ8byqqqomCQ6g8CAick0xU+XSZrNx4sQJunfvXm9wuJgjjJSXl9d6H0f9hatZ3mjsGYfCwkJjJupS4uLieOGFFxr0eh4eHvUe/4Xqr2NTH9V0fE3Wrl3Ltm3bWLlyZZ3g4AgYt912G35+fnTq1IlVq1aRlZXFzp07iYuLIzQ01Cjb3hQbJR0UHkRErmGXqnJZWlrKY489xldffUVGRobpWYOaR0rh6pY3HEWNGnOpomPHjvWeuLlSfn5+nD9/3qijUFNxcXGT99Gw2+2UlpayceNG9u/fz65duxg0aFCtGYma3TSDgoJ4/PHHGThwIIsWLWLTpk2kp6fToUMHhgwZwo033oibmxt//OMfm+QYrMKDiMgvhOMYqN1uZ+bMmWRmZrJ48WKAqz4G2pDlDZvNxunTp/Hx8TGe5wgOHh4eTrXH4WI9evTAbreTm5tLr169jMdPnTrFqVOnaj3WFCwWC56eniQlJfHggw+yc+dOBg0aVOdrVvPPrq6uDB48mG7dulFQUMC7775LXl4eW7dupaSkhHvuuafJ6mcoPIiI/MJkZWXxySefsHTpUgYMGAA0bpXLSy1vbNq0iSeeeILu3bszdOhQBg8eTK9evZw+OADExMTw/PPPk5aWVisopKWlATBixIgmH4PdbicsLIz+/fuzZs0aRowYQXh4+CXvd3xNAwMDCQwMpE+fPgBcuHABoEmPLCs8iIj8wvTr14+PP/64VpnupqpyWfO1br/9dv7xj3/wwQcf8MYbb7Bs2TL8/PwYNmwYw4cPZ8CAAXXarTc1m81WZ3nj3Llz7N27F6g+SdGxY0cCAwOJj48nJSUFX19foqOj2b9/P8nJydx999306NGjScfpWI64/vrrGT16NLt27WLXrl2Eh4fXu3HyUs+H6iPPTR3WLPar3T4rIiLXrMauclnzNXNyctixYwcZGRkcOnSIVq1a0a9fP4YPH05sbKxRarwpHT16lNtvv/2S12tuqrTb7aSkpLB+/XoKCgoICAjgrrvuYtq0aY3a6dMRBgoLC/Hz8zNCneOoJcDUqVPZt28fGzdubPCJkeak8CAiIgBXdAy0vtewWCx4eHjU+m350KFDZGRkkJGRQVZWFhEREaxZs6bRP8O1Iisri4kTJ9K/f3/69u3L/fffj9VqNfaspKWl8cQTT/DQQw+RkJBguq5HU1N4EBGRepmtcnmp4HCxM2fOUFlZ2SwzD87qvffeY926dXz99dd89913dO7cmSFDhhATE0N0dDQAkyZNori4mPT0dODSRaRagsKDiIgTy87OZsaMGRw6dIj33nuvTvnk7OxsXnzxRbKysqioqCAsLIxHHnnE+AHkcPToURYuXMju3bspKSkhJCSEqVOnEhsb26Bx/FyVy4YGB/lJeXk5J06cYM2aNXz22WfGPoyRI0cSExODu7s7jz32GNOnTyc+Pr6FR1ubwoOIiJNau3YtL7zwAt7e3hQVFdUJD/n5+cTFxdG1a1cSEhLw8PBg9erV7Nq1i7Vr13LrrbcCcPbsWUaPHk3r1q159NFHadeuHRs3biQ1NZXk5OQGBwiH+pY3LBYLrVq1apR2z78Wjr0PjmOw77zzDhkZGezatYvS0lICAwMpLS2lX79+zJ8/v8kLVZmh8CAi4oT27NnD5MmTeeqppzh+/DiLFy+uEx5mzZrF5s2b2bFjh1FV0GazERsby80338yqVasAeOmll3j55ZdJT08nJCQEqA4A48eP58yZM2zZsuWqxupY0tCMw9Wz2WwcO3aMtWvXsnfvXr744gsA/vWvfzF06NAWHt1P9J0WEXFCPj4+rFu3jnHjxtV73W63s23bNgYMGGAEBwCr1UpsbCyffPIJ586dA2Dr1q10797dCA5QvXdh1KhRfPvtt1ddqdHRoVOunOP3eDc3N7p06cLMmTNZvXo1Tz/9NFarlfT0dGw2W7N0PW0IfbdFRJxQt27djM6I9SkoKOD8+fO1AoFDSEgIVVVVHDx4kIqKCr755ptL3ge0aLvpyzl//jzz5s1j8ODB3HLLLcTGxvLMM89w+vTpWvdVVlayZMkSYmNjueWWWxg6dCjz5s3jhx9+aKGRm+fYO+IIYe7u7nh4ePCHP/yB2NhYPv30U0pKSpwmpKlIlIjINai4uBioLnJ0McdjxcXFnDt3jvLy8sve1xztps0qLy9n8uTJ5OXl8cgjj9CjRw/27dtHcnIye/bsITU11dhf8cwzz7B+/XoSExOJjo4mNzeX+fPnc/jwYZYsWdLCn+TKOfps9O7dm82bN5Ofn1+r9HdLUngQEbkG2Ww2gHrbSDsKDf3www+UlZU16D5ns2PHDj7//HNeeOEF4uLiAOjbty/l5eUsXLiQPXv20L9/f44cOcLrr79OfHw806ZNAyAyMpKqqirmzp1LZmYmUVFRLflRrpjje1ZSUkLr1q0v2TK8JTjH/IeIiJjiaHhUXxtpR7Bo3bp1g+9zNsHBwTz77LPExMTUetzR3fL48eMAbN++HbvdzujRo2vdN2rUKCwWC9u2bWueATeRI0eO8M4779CpUyc6duzY0sMxaOZBROQa5O/vD9S/5HDq1CnjHm9vb6xW68/e52yCgoLq1LQA+OabbwC46aabAMjJyTFaVNfk7e1NQECA0+7naAi73c7Jkyfx8fHh2WefxcvLq6WHZFB4EBG5BrVv3x5fX996T0rk5OTg7u5Ot27dcHV1JSQk5JL3AU3ebrqxFBYWsnTpUkJDQ4mMjASq93V4eXnVO6Xv6+vrlPs5GspisRAWFsayZcuavaHYz1F4EBG5Rt15552kpqZSVFRkzB6UlJSwZcsWhgwZYrRk/u1vf8vChQvJzs42pv2rqqpIT08nNDSULl26NNuYy8vLyc/Pv+w9bdq0qdMMqri4mKlTp2Kz2ViwYIFxOqGsrOySewHc3d05e/Zs4wy8hVitVqfa6+Cg8CAi4oSOHj1qHEk8efIkAF9//TUlJSUAdO/enYSEBDZv3szUqVN5+OGHcXd3Z/ny5ZSWlpKUlGS81n333ceGDRt4+OGHefzxx40aEnl5eaxYsaJZP1dhYSEjR4687D01O11CdSXNyZMnc/r0aVasWEG3bt2Max4eHvXu54DqPR3OVJXxl0QVJkVEnNCsWbNITU295PXt27fTsWNH8vLyWLBgAXv27MFutxMeHk5SUhJhYWG17i8sLGT+/PlG6eOePXuSmJjIoEGDmvqjXJXs7Gzi4+Px8PBg2bJlBAcH17r+5JNP8tZbb/Hll1/W+Q194MCBhIaGkpKS0pxD/lVQeBAREad07Ngxxo8fj6+vLytWrCAwMLDOPWvWrOHvf/87GzdurLV349SpUwwcOJC//OUvtWZhpHHoqKaIiDidyspKHnnkEaxWKytXrqw3OADExMTg5uZGWlparccdfx4xYkSTj/XXSHseRETE6aSmprJv3z6SkpI4fvy4UdfBwdfXl44dOxIYGEh8fDwpKSn4+voSHR3N/v37SU5O5u6776ZHjx4t9Al+2bRsISIiTufn9nzU3FRpt9tJSUlh/fr1FBQUEBAQwF133cW0adOMKprSuBQeRERExBTteRARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQURERExReBARERFTFB5ERETEFIUHERERMUXhQUREREz5/2MxVYHSmqnNAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "region.mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mesh\n", "\n", "After the region is defined, we need to discretise it in order to define a mesh. There are two ways how a region can be discretised - by passing:\n", "\n", "1. Discretisation cell size (`cell`), or\n", "2. Number of discretisation cells in all three directions (`n`).\n", "\n", "Let us say we want to discretise our region in cells of size $(10\\,\\text{nm}, 10\\,\\text{nm}, 10\\,\\text{nm})$. Then, we pass the region and the cell size to `Mesh` class." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "cell = (10e-9, 10e-9, 10e-9) # discretisation cell\n", "mesh = df.Mesh(region=region, cell=cell) # mesh definition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then inspect some basic parameters of the mesh." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([10, 4, 1])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mesh.n # number of discretisation cells" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "40" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(mesh) # total number of discretisation cells" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualise the mesh e.g. using matplotlib `mpl()`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we have the mesh object created, we can access the region using `.` operator. For instance:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([5.e-08, 0.e+00, 5.e-09])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mesh.region.centre" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Field\n", "\n", "After we defined the mesh, we can define a finite difference field. For that, we use `Field` class. We must provide the following 3 mandatory parameters:\n", "\n", "1. mesh (`discretisedfield.Mesh`),\n", "2. dimension of the value/vector (e.g. `nvdim=1` for scalar, `nvdim=3` for three dimensional vector),\n", "3. value of the field (`value`).\n", "\n", "For instance, let us define a 3D-vector field (`nvdim=3`) that is uniform in the $x$-direction `value=(1, 0, 0)` direction." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "m = df.Field(mesh, nvdim=3, value=(1, 0, 0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple visualisation of the field in $z$-slice through the middle is:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m.sel('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The average value of the field is:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1., 0., 0.])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can specify the norm of the field, by passing `norm` parameter. In the case of magnetisation, norm corresponds to magnetisation saturation $M_\\text{s}$." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "Ms = 8e6 # A/m\n", "m = df.Field(mesh, nvdim=3, value=(0, 0, 1), norm=Ms)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, if we have a look at the average:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0., 0., 8000000.])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spatially varying field value\n", "\n", "When we defined a uniform vector field, we used a tuple `value=(1, 0, 0)` to define its value. However, we can also pass a callable (e.g. Python function) if we want to define a non-uniform field. This function takes the coordinate of the mesh cell as an input, and returns a value that the field should have at that point. The function must be defined at all points in the mesh." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "def m_value(point):\n", " x, y, z = point # unpack position into individual components\n", " if y > 0:\n", " return (1, 0, 0)\n", " else:\n", " return (-1, 1, 0)\n", " \n", "m = df.Field(mesh, nvdim=3, value=m_value)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can plot it using `mpl`." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m.sel('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The field object can be treated as a callable - if we pass a point to the function, it will return the vector value of the field at that location:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-1., 1., 0.])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "point = (0, -10e-9, 0)\n", "m(point)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1., 0., 0.])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "point = (0, 10e-9, 0)\n", "m(point)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1., 0., 0.])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m(m.mesh.region.centre)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spatially varying $M_\\mathrm{s}$\n", "\n", "By defining a norm of a field, we can specify different geometries. More precisely, we can set $M_\\text{s}=0$ where no magnetic material is present. For instance, let us assume we want to define a sphere of radius $r=50\\,\\text{nm}$, discrectised by 10 cells in each direction, and magnetise it in the negative $y$ direction. We can also set where we want the field to be valid, for example where the norm is not zero." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = 50e-9\n", "n = (10, 10, 10)\n", "region = df.Region(p1=(-r, -r, -r), p2=(r, r, r))\n", "mesh = df.Mesh(region=region, n=n)\n", "\n", "def Ms_value(point):\n", " x, y, z = point\n", " if x**2 + y**2 + z**2 < r**2:\n", " return Ms\n", " else:\n", " return 0\n", "\n", "m = df.Field(mesh, nvdim=3, value=(0, -1, 0), norm=Ms_value, valid=\"norm\")\n", "\n", "m.sel('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example\n", "\n", "Let us define a thin-film disk sample of thickness $t = 10 \\,\\text{nm}$ and diameter $d = 120 \\,\\text{nm}$. The saturation magnetisation $M_\\mathrm{s} = 10^{7}\\mathrm{A/m}$. The disk is centred at the origin (0, 0, 0) and the magnetisation is $\\mathbf{m} = (1, 0, 0)$ at all mesh points." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = 10e-9 # thickness (m)\n", "d = 120e-9 # diameter (m)\n", "cell = (5e-9, 5e-9, 5e-9) # discretisation cell size (m)\n", "Ms = 1e7 # saturation magnetisation (A/m)\n", "\n", "region = df.Region(p1=(-d/2, -d/2, -t/2), p2=(d/2, d/2, t/2))\n", "mesh = df.Mesh(region=region, cell=cell)\n", "\n", "def Ms_value(point):\n", " x, y, z = point\n", " if (x**2 + y**2)**0.5 < d/2:\n", " return Ms\n", " else:\n", " return 0\n", "\n", "m = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=Ms_value)\n", "\n", "m.norm.sel('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let us say we want to extend the solution from the previous example so that the magnetisation is:\n", "\n", "$$\\mathbf{m} = \\begin{cases} (-1, 0, 0) & \\text{for } y \\le 0 \\\\ (1, 1, 1) & \\text{for } y > 0 \\end{cases}$$\n", "\n", "with saturation magnetisation $M_\\text{s} = 10^{7} \\,\\text{A}\\,\\text{m}^{-1}$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def m_value(pos):\n", " x, y, z = pos\n", " if y <= 0:\n", " return (-1, 0, 0)\n", " else:\n", " return (1, 1, 1)\n", " \n", "m = df.Field(mesh, nvdim=3, value=m_value, norm=Ms_value)\n", "\n", "m.sel('z').resample((15, 15)).mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise\n", "\n", "Define the following sample with $10\\,\\text{nm}$ thickness:\n", "\n", " \n", "\n", "The magnetisation saturation is $M_\\mathrm{s} = 8 \\times 10^{6} \\,\\mathrm{A}\\,\\mathrm{m}^{-1}$ and the magnetisation direction is as shown in the figure.\n", "\n", "**Solution**" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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