{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Locking-free Reissner-Mindlin plate with Crouzeix-Raviart interpolation\n", "\n", "This tour explores a new discretization strategy for Reissner-Mindlin plates. It is known that such thick plate discretizations face the shear-locking issue in the thin plate limit. Different strategies can be adopted to alleviate this issue such as:\n", "\n", "* reduced integration (see [Reissner-Mindlin plate with Quadrilaterals](https://comet-fenics.readthedocs.io/en/latest/demo/reissner_mindlin_quads_reduced_integration/reissner_mindlin_quads.py.html))\n", "* Discontinuous Galerkin methods (see [Reissner-Mindlin plate with a Discontinuous-Galerkin approach](https://comet-fenics.readthedocs.io/en/latest/demo/reissner_mindlin_discontinuous_galerkin/reissner_mindlin_dg.py.html))\n", "* mixed methods (see the `fenics-shells` [demo using the Duran-Liberman element](https://fenics-shells.readthedocs.io/en/latest/demo/reissner-mindlin-clamped/demo_reissner-mindlin-clamped.py.html))\n", "* and many more...\n", "\n", "Often such methods can be quite cumbersome to implement, even more with FEniCS. In this tour, we investigate another discretization which does not seem to have been widely studied in the literature, except in [[CAM03]](#References) and subsequent works from the same group of authors where it has been used for a shell element. Note that Crouzeix-Raviart elements have already been used in Reissner-Mindlin plate models such as in [[ARN89]](#References) but with a different discretization strategy than the present one.\n", "\n", "The discretization that we will explore is extremely simple:\n", "\n", "* $P^2$ Lagrange continuous interpolation for the plate deflection $w$\n", "* Crouzeix-Raviart (CR) interpolation for the rotation vector $\\boldsymbol{\\theta}$\n", "\n", "We recall that the CR interpolation corresponds to a piecewise linear interpolation with continuity satisfied only at the mid-points of the element edges. In this sense, the element is non-conforming, akin to the DG approach mentioned before. However, the rotation field is not fully discontinuous and it seems that numerical stabilization of jump terms as in DG methods is not necessary. In the following, we will also compare the P2/CR interpolation results with a continuous P2/P1 interpolation which is known to exhibit shear-locking without any specific treatment.\n", "\n", "\n", "\n", "## FEniCS implementation\n", "\n", "The implementation is very similar to the previously mentioned tours except that no reduced integration or jump terms have to be included in the formulation. Again, we will investigate a square plate under uniform loading and clamped supports." ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "The complete source files including convergence results can be obtained from \n", ":download:`reissner_mindlin_CR.zip`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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rw4ur++kmMXUMgdOC4WP1OaPWYpWLtIaLoUQlUen7OObMHLox3sc6e+882z71d6jrLAKFtI4EVieTmH1h1mS6LOyt+T7TFdA9geARbYA89j5Cr8o8TWZG90NRErabwwKb4IJQvoN0CErP1tcg36Mb0oKqVx1QZzCjC5F3e5yYBiGlOiuGhk/uF5/D6igurKuRnXuuw9df3ixIAGegmJwi5rZr9OIT/1K882GcKHYg/aHZhQxZxxmzH9cABvXWNGDTcWf9YlfzTdfgxQNmB+6RfYyHAabQKtD96cKGY+HASwQW8phMZ8799dxhHLS2cI/AzQ7cw8korPzmTIJaMEvynCr8wj0cN1vYPGb6y7mITyTfWHawbHKK86QtkkPVdBdgjgM5ZFyp4ofdQKXm9FZNA7fCcTPDhuNGcxQ7WDUc2yuUeYTBsXGzBY+dOQ3hzSQAgoLRr8/7f/GNw264YyeTiL6ng2Avo1+8302WIX1pkfHJFXIkyEmLSVZJ+CcbLACzdmfVSkLvud5Am7+P8/RYj6vT9rrLmwYJLVOPeOAXrJ9yJTD+HhpFGXb0b/X4ZdzIntVHby8W4WGMWiT1u5MF3BFwHC1kIl2KZhBGxrLILg4EXQnUPVgxh2ImBIx0mRafZz3cbzKJvF4ypwQV9UkRFawDCKglRtrKkaww3ENls+nLxHtoFYmufVHHZIkPeBhVUr0fYSNGbxd9PUO6DPNFLvXYxnkoyFAONGOUWCmjBAwvcBy4cc6KA5KYN88nYTLgMHeEHXBsAF8g56xYdZ08L58psjM5IpUMMYc8RrSToKUnSbqQNcce/0BHjpwNdg1hV24IIDflidGzU6sI1qnIt+dwvEmQmFpExKd0CSnc9b+hJ7R7AYD5C6AhogBiMoeOauQ/CXkFGmYVgZD7sMMQtkqo9DACTJcVcLgbYAt3Gv898rc73Yq6vlEsTRZgtnAnbb2PuD8GUGCsN3McTloHK0NAqQYZQI0T0fkPkwvSNQ2IIRCRbSHYW19TxpsR9FFAagY7AjcyiRp1GceJayn7EuFYdhSj8NIQlEcRqLyJCCzLoGxrE8ZzZIXdLHA3Z09+UJM4ELFxswMBxy3SDVrsoQ/lSBBkFu/bAjhswbN7wIalroF2Q8QIldodgQzNol0P1Y/yQgS1qyAX9bbkZlzgpCq+GcXrL28SJOaicQAPGZdA9YxpjH7al25Ig0Uae6BcgADukPAo4yRrKAMcTIKvbgeyFyKTCKcbUqBiuIOeawTcDgqaB8LJOhC4x0EGMYGHBmoUQe2Ae6QoGR01aZcHBWQy2MBivYh1gPU3FQAwOWyQ/eiQa9fzbJQjNhEBxAcsI/kdGK5jNMAq32FUpOPOG0ohr49SCHEt5LgKWA20urP77EFbTmBoVpGGdmDx2BxvkcekC+A4QqHPvPYKz7ERkQ6Cw3FY1oHFgW35tvL4hcMc7kHxNcErIphUlsafc1cEbmQkzvZb7kmFsDshLcYYkqg3pDasdPCo+hdYGPBt4cJpedMgcXYZcikwGGKlDKbCneMYDzGJ7A3EJuTPb4axNDpxEyD2YAIOwGPVdicAaP89Dt7bOJblw3XOlRERN7gdjJAYhVEyDoVLncxFURRfKZZ6ui1R9WENAC4xddV4EDU+XUfHKSmr070zdTxiXWlBLSXS1TEA7Haiy9MzTkNGZUyCEYMeVMUy1ucHAusOahg8Bk1VBHMLR5aJPMcBMgtqLAIQUF8wahZmdFsQOHgPRx3jHNXZcHqwczp4h6nvJNgctvDCYzYcB1Ndg0wOvDflNEQAmvwmRdlM5GJjhg2gUFSjsjbLBeuYkxfQ2bcOFG8OJKarUX71tcyDWHl1T3KbXAcnak+dwcUKuN4UERW1uEs7sBYiVSZ902QFHoYXCprqvQUKCVBH6RnwzA8Ip4vigFvqDxuWeRZIQ08dwxAO3GNlQk70+bMcIAFTACM9w6GsS7GlPPd0D8rJzYpPSj2OaSbR608uRp7C8xc1jjTSxZT0RbVvcSStxfUYGXtQ9JOxgmCAYgOLRm/FTJqh3Hj+Fb1vheNm4l/JEJIpOKMqAyDgmcUJh8OLLSwshHmN0Mw5JZiRQQF5hXMsyag9IqYYhQTimjVrMIo5QGVqEwqo9pb+48wzXnd5UyBxhYN2K8DKCKZAAwEvdBZ76IgE528IgYWRXue+HU3rNmSgckPSXZAW0axATCOBQoxCxq1zhK1yIe48dmMhPBtQhDFKssgWBFTZbD3OYc07GYYEzo68tLhZyVrj9ym1uJ4/n0OsYAKAoiszlHYFiRn1OIPHmUnMcQ1S+kvwA40dq9wJ6PUiKm36phyJ2h4MvXZ040DkcG22jcPEKBx3ugeVOg2NTs02I3BRmDOTthbMHcuyjXwwpyFbMZYwz/fBcSIrAgejRYuaR9DFaPyNB6QNoFK+93x+AsYmA1tVtxI+BTqXlzTs5bWB4k2BxDV1R4bdU5Lxb0U7NBaj2EO7Eh5iGDYMHJX3UK4B2uC9GMXCnQZ7p9ebxxw87sCdv0NltHbpGEczlzBs3AAPvGDR6JMV3ENahxJmgHtIhz9YJmnnPeiyBF2TQIqIiOECpRnvMGYeZhaoB92UamPULUbrdV/M5LRKWMKpd+uyoV5xrJUElYO6sox6dvngB99JpmVzO0+/BlP4aAKVaAZBUEndQZqEV5TDTAYL3CzoQkQnXOHAQbdkW+AI5xiPwGGbrkfqGillJqO4Y/wOx7aNG5nFbcItXQ4EB85Vy1GDRtu3tfCejEVOGviMYA5Pw7YNMBBoBOmaRpP+xTCJc+gyHvZVzxbZ9IDOnlTFqyo9pOTHAAjQGPUajQDRrGCz93b28PdiBwcZxhouyIIiGs6oh5th+wEYcPeFMJ2DroTuJRYcR2kjGQXJjEww29J4bqCZR8CwWUYTzGQWp0DF8BLNANRnq6yyHyvbMjRoi32X2jz/nhmTO1BREG1vbUEAocFUmTnpPCajLpFp2TTgALMogWYJPMfNIiMCDJUmMFC8s+Qlyqa8LcdLHEyQymM23ZIcHbrSqFUWCx/guCPwAfyWhjmOEjFzMqIbIxlhwN0WPoS2ixlRJzPgxveIGMZcdtv0YqHfzQGF32XsHB9SnSQ5T/C4oVuUNZx8kNdlE28KJGY6KwAo66zVdTIHQYbSmE9CpbSIHrotBnFHMwrnq73HUWKlRxv9C1lC9/yGO/uNzWM38yPu1B3KFcFKgTIYJg2KmwG8YMEm+4hsLg6GSQFsJwgwqnEP5WYIBNCuh4+RC9GpTZusQCRgd0uFIhKB7P0VJi0Q8POIUWA6E8zCLLaR55gGbqiiRY91vkOGNc4fIZaQqCY3ZCHwLwjcLA30ZsGRqFFuh9jLDYGPOzWHj8ZBZhWdIKMAMgyKwN3zvC8R+GCOTQDJ9LBMtLpx3aHOwI2zXt/geIFGhmZnlQCR1wsmjgGOW0QyjIf2jkrDPkKjRRM4bgQXIwDU6yswLn4BZWbOLa+5vCmQOLsaFwYx9qWH6JdyKF0iDXjkRQzXI4HECBCr3I7WFYa+AEUFRtg0jmYLExQijTrMsH3BB3PIYw8ylwyJlnsTaQ7SIFJXyGNBQENkSDTnpTg/R/BYIxsqjSKUBk72NbJCDYbt05NQwhc62YTuSaeK42TU8j7k508YqaHTQ5QUMNw9QeCet1rDuW0IjUADzs0808yj5/ZY5hWZAAHhXywNNg05+HUxS7eCTMCAinLcwrFh+IDAR1gZ5S2iaH6+CWZzWkY1woAPEbjz+ncLHHTpAGfvn+/U4bBYuJvjA0XN4nRyscZzJVBnKNWVRSo3K85AcLabbzfK8aZAYmoSMbbr78576AhGJUrhHM2QIQU6D+IOiY0ZKbijAUBg8UIm8VFMIqy0iHQxFl5iFZhE5O9ySeLI6+xFoFp1LGB48VEWq4aVV35GGPUDG8CRVPnuHNfB2vIgUJSYq+QmgUAPW69JclhvYkc9bZzBPWArY//zK/ER0jKYF1Cp1QlA85jkDSM+EgZY0D3pdGPNC9FRDf4nMZNJVR+xsYhEOuawZDoqk6FN4AUbtwWGJrmfusVhybBuRjaGzeSmjZsZ7ma42eL2AwuOm2UGzOIEurdUidjTL2zcccMBZ+gzWYFGtDgOZMr7QddqAQyV5lvo/FYx3AS6h++shJXrp1nWZTGC/b+Y6MZc1CsJIJR5OQdt1b4CDZU1bkcZT9Cg9XcmS009QetjhCOVIEVAEQDEQWEzk6omu5Cb4DTqBAQgmDK841aJWNIkAODuAHBUurdCqpWuHVHg0SNLUcCC2p6p1jqm6oL71PBU9s6uPjzPGbuFskq8AkqMSxYSdGHYQLcUD7mGN8A6RyATwYJZnW0cMOUDBCwOYGmimCghc9mCbYU3lZREByuQLkVkpuRBoJOLUFPy0+CShy3WwkI6GelgHMiUqVuVzTZyo0YRcWcatVErcnywAxuKdqSAum2Rai1kpRIwCsjXCSwrVwUAyByUvdlRKf2tMCkKKM5Oh+HboBNvCiQkVCpb8hoSbV1i5kIowtEsoiZyQbseCnVuSKQExckEkZfso3CnXnCPhX0SMVe5J/fIEOYLgeajmIQvVFjU8zybkYiPYTC7JRjYgZed7KBDn8luikFEgkumZWejuG/UMfIMxCQo61H8OtKQB1PRvBg1PiSk/2RW51oLe8dJoKSsUG9BQ7eWLWwPHAtwx8Mx4HmzZrPvNUujvDHD8cQoIhIgPK+2LBWAwzLIebM0tGVWOgNIwxfZx2EHXnDHbS0guMYmg2C0AxkmXXZg2R2HpYNyWwcsNm52SzZiacQ3AvDNHMtuCNxT1IzAsVZmXTIz8wPEMG4I2wkQ1lzhDqVup4Arl+Og8cu2DR0SPQ8VbwHeMJnbmXnb+P9rLW8KJGphyzyDQsxdUn0gP66Bg70qUElQyn7UuAgxBh/A4Lhhh+EeN4LJUcAgw92R2zYOhkaz57/HLYGGLEQ6w0eX3oA8/wY8MktA0RKxg3uJleptGN33KWSSEdGJ1cCzbIYJEDloCxQ2UW5GT56DyjVpUDG83NlAQzqPGuRZODcY7txy99kcWcrOEqdCjykyL3wEihVACVCWup7RAGA5riKBaOEjIxQIRUYYsbAoQTI1hy/gOwHPPc/hTL0Wk9jkEB/wIZmELYQ7DsuIxo2lbuAMG5bv4YgNsxvy+y63Ygkv5vgQG3ckqGzqLJmOvRMcAwjT9HPMvUBmxmoym2zTHblLMfeZycs49H4ep6157eVtggSXZ7pEjA2Onq5u/usxGs0mgE6Y2kyOSn0hDfWF9P4OsgafjIL7LprECw35xckwvEOgxT483RZpEC97ka5Sb/AGLkVC5hrGUOcJJAgAoqNDl6gQZx3DHme4YEJZjRPxIWLCUHNaPn0ncRYvH8RMnI8VHBn1i7XoxtASFvctCwpzzUKWGV7csZZ1qrUxMWo1MzCyD7N0OeBOduA4loCKGZaLw9WNzASO2zKs2LitHC5/s9QZDstPE3ywnKMzHDjMcgzOWrjD8aGcmiNzePygsRsOW0Ake8rh+NmJ3cCZxljfEi636h90UsotUdseHWF4pWl/a4oll68ECTP7MYC/BfA7AD8B8OuI+MNnyv4MwO8B/PhzZb/eEqe/VEVyRbKt21mfiBbwKvJQUQhFL/LfSyw4bgSGGw37oKip9RqhzVu6I5H7dmR+g1K4BSJ3RjruGqcRQESGSe/BsGmBROsMOxa2i0l0ApTGecjw28UIKPIhCqrh39sXtQaxAuTag72bwKMTsBJAJnfgsUyI4lvOsowSdAPtY/o7FMHNPTxMeka+up7WzlZk4lWO9ELNBGXRLMM67GkOHIs5FDx2GZOkLBCbv73BIXFpZ0RhOUd1OpnEQjCEekfP0RWxgOU4YgOLg8Eowt6QiVZm/Dpb3GC2uXZYbLgZ7pED1Y3CZ6VpmcMiw7vzg8uKBk2Xo1kyQeSSui3mNt/Eay1fh0n8Y0T8DQCY2ZcAfgXg7z5R9m8j4h/0w8x+BeDv/+i7il6d3IwAaoImFR1MYtNwgpRdIuWOFvjEJDZf2Z3G3T2/9IfOxtw0bmfZ0ivCsK2P6bJiGjlOQzkQbknRHSvDpFA4VlENhlHHYC0HeA5wuxUQZjJ/0msAACAASURBVI8iDQP1u0K3+kfXLOSnhY4FQda6ZYKuiQGImtN51DhGK57ChRztltKUx2ITKGrNklznLE7BUahKlup/SiIyiHVEjfTcPDYZRjKAnNgl2YLSrJel0S9zHJzu72bG4f4bt2Vw7BQq6RYsBOArB8A5v7fCdKtAgjIiz+t0qZJRGJOgVo0XUQ6pxULYxgexvlC+Cisr+jMFSrTSgMLrF+AdgaWBeXo9f7TBfX75LEiQGdQSEV+a2X/Cp0HibwD8w/j9V3/a7U3JBmxQLVK2WpHGA6NhMe6vOSDSBVg12Eqaw537NKBrM4lK6yAguICBOsULNYlMmkow2CwTZBAFIrymRoS+RCZnpcuS4CG9wTWwS1GNGfkIhVHJLICOWDho7NIeMNwQ7pNLQRG0AAOKgMSl7GODnAkSz9wMIfnpGLkWI9EqMSmq19S/Yh8YLojYhGGETeliLHDNVGtwmjvLEOhi6PFYDINiJkZl3sO2TKo6zBDhBOxALGdZy7EeQeEkDIGNDzDcDLhLo4DjBk4/wM4sodXJ2oL6yMGoCnMgsJJRIOfyyLY8pwzscH5VDHCOblhHpLIWv1sm8RMAD+6Cmf04Ir58doCZ/QbAzwH8FMB//qY3xjaDsP4+N6J1ByA6WYr7vP5WCLBdlLCAe6deF7MI5UbMgV4cmUmX5T5A4Bz1kGtBUPDUGlzllRNRWgUqC1P5EO6dbZkMgy7FHPgVTHYa7ABoUdJdyVTqrVhXF9Aoh3f+VnMq9kD9PAz1YR/2eP39T1P6w1gLyC/nw8UtKTAYPZ/JBbECiWWc6GWpTJ6vpsM3YDlzGAiSB1nFsayBwkBjX9jGafrIIPJ3IBa1Kw3Cs4B74IMtBOfqD7o4bsCHunNWwCoVIZOn1h7iMOsxFu4GWOTMpJkMBo4hyeSpzXrUxLyaSzW7DUYyAhz6LzYGgGN6vi2Y+CqQ+NGTbb/HpxnCzwH8HwD+K4D/dboeX2eRS1GGzzatkKhTDY6oKUrRg7lQ4t99GHvpCrGwTUlQHJmJxZTqhY1bAgIO7DjwErn9I7WHO3WKuyIgwwV54fqjZ+6EQEMAU4AQRuCgyEmQCKQ4WUbPqEZNSDOAA7BiEqqkEOuQy4HovAexDG9HADxWekB+par1A7X90/nm2uJchoyit/O8loLj9GYEAhq9m1O8NZMAWUbwd4qrYhcpIFZEhKHKRfDY1hPmHivpf47bSIBYltuOpUloshe/YcFtp0thQCwyCDhuniLnLQxYXon56rvNHIiDLOOGZXesuGGbA4EcicoMzQ+Q4TOqBs6GRYair7uFiR2j5teUPTjAzM/h8hkZR8gle12H47WjGz9FahA/BvCPpJ0PQGFmvwDwCwD463/XtxDq5TA+wRMdC56imgUTs089Yw8LT5/exlrjFeSuSGhMUElwWXVMC53Gshy/QSZwJxtolqGIRI592DDcd6Znb7KEu2c4dvvMxLR0JZh4lRPLGPZOYCiAGKxAAqbcAicAVJRiWwFDM4VmXOkIy/1olqDtXfk61LrsQnNp79Pn62m20O5IHkOSUxEUdYNOFyJ06OIxR6KPrQSxxfzttUS1FSnJ3n4DmbcBw7FSuDyW1/bDEhBglvkNKyca/mItfHTHh8WJgZf0BMZ3LWAr5zI1papb5EA1JDBrskmj1nGvNOpkqHcLfBH6douVe7ygkGnWhRhFf70MrYugAfs6aW5WZWsXtLGr2X3j5atA4hlr+BE+4YIA+IlAwcx+C+CfzewhwhERvwbwawD46X/4Vyd3SzS4+i0D9MHWmidN+fWsTI07KIAwuRQgW0iPNMHgYJ7DjS7AUYxCrsf222ASB5lEM4iXwSS2W5V98QQZaRRiDpNJ7OFWRFhlZbonG4hAsYsKaxIwSmeQ8TvIqOSKiBWIQUCpjdC8ldmmWLth5dYZyxYOPyzcsbm+96YCikl5bYZjCQR7+NLqCBfZAt2KoDKdEdGA7yyzHQQM6RYERWZpGiJzI1j2WBwub8zUtRhMIjMzD1v4/3cCRjCJKjwTr9Zqg87oR2oWHwB89MAHM3xErrPzSZnxvlSfOS7kBcCNQGFgFIQp4ou9fhA03SRGUuKUm2Y4rS36tzItxcq+DybxOzxxOT6hR/wMwG9nGTP7NT4BKs8WuRoAij0oHVsuSPvWRTvK1agxDFpj1XalQBeal3jYc0ekYR/lprTgeXYfNnMoXAKlr9IhAmnkGxzoBWkQZBQDLAQIJ8aw1TCz5/BA+pzBR+Yx6tnLJ+O6k60GesKkufV8lAST8jK4XaBRADMMX4OMWr8ATu3x9Hc3VRn1FDjzlgMaQKebKEkjhmuT01UD2xBrREeUlGWJcmstJlNlF7wsZ5FK8dEROSc/AhyFahn6vAe1hDZP3NxgmoeOCUvLaewrx4mYHdAEuRkGXRmuXTm4LL9Slmwhx3oEbpHiaabl9zgYib3KmXAyi1AdlUuHsoVqEINJPLyTV1g+CxI09PpNtvBPl9+/J1P4LTqf4nSOr3MjgdHVnRarEvp/pl53olS7EJ12DOTQcKVea+j4na7BC8XAjzTiF4LCRxrwC7WIWnsyh/vMj4icq/KF2sLHEi0TIDLKIeGxmYNzfwQFyyBg0PVwfhBEs2b7bndCDKIMK6yrTApcMQj9zrJLFdhIjGp1AxTq91NGMcpeXQ57LAb1hiPvJ3A5xrpclFCJdk84DEJREqtps5kKzgigb2AdxmxLgy1lXVK78MyPOGLl2o4MfVKovpnBF4ekL4U8D2Dtalc3AOH5bZN0k5g85QBW/m2hSWcOWCRUvPBhX0wfIdDHlTKKkVkUnFwIgS/QyodXNcWJCbbTAbb8ds1fk018HU3i52b2SzCZKiJm+PNXAH6DTJr60sy+ZNkvkQziH7/OTXT++bNWGdwzOUb+3d/UpLtRLoYM72A115zKLJ+ipaaR69moDgSZRFQuBffzb8cqIHAn4/CDIz6PdilKlDwuDIKJUgMkAjgxiXItCiw4VZ3ESFqZvn+R6XttfeZoMCCrqrymcknkxl2q+nO/r4uPv69tsjph9nBjnv4OgPA+9AGJBURmhmHO9xhbrgbxLrpDcYY/JalsT0DISWcU8QGZRNClimIXxzqwt8MO4AWBD8Gvi7nDV05+v92AlSa9gUwZRw782oqcAJx9+8CONNiNOw5bTAVn24xFYZLD/hlFEpBlmhVGCJRtPrLigs8tfcLop4lJdJd6Dov+KctXggSZgMTH3172/fzy+3/7U27mOgO2hytl5QEqnFVS9hACGY2VMJzSs6MTozzsJDRWngKGIAkrJnCPnPXphVT/lMrN/TsyUWq7WMSq64AMAshBWoEUJiuk6RQmnREKl84AAKtAwJ2GTeOnEMMKaX2B3Ld6fLkV6rBraDGNji2/PwZ6YhpPlskkJut4cD0iwQFWbEZaX1Jk3pQy5NZo5Es3l9ulTVSkxNrlyaql0Ry8FbIQfXvUzDimYuFYTvw64LERa8HvgQ8H8DEMH5YhVo7p8JWjQ8MP5FTePartJSd7wEuiGmwdWJ5C5wq6I/zS2R053vRuhhX5FTUL430trKVxHBrCH1XFG8ZQLqCPGykfxQguKNhQ9X+3TOI7WPh4FIEqgcrkQ7arcWW2UtCzRBommEzVQ8EPsoGDf0usXAg7cPeFbTfmPBwMW3L4N3Kt0KjO81JuBzob04/OmoRmpSKjYKLU5liOckFcQIF0NfZZbwhHGZHJmAQWNECTS6HtqqxiH2ixi9P0ryFaAuiPgG6cQMKUDPGAAmih8/oqC32sDV3lNkaI09rd4GGhwxQPLBCDQiHER/rxiDpfRnZG2cUBXQ6sld/MwAqYs4UtsgEa/d1zrMc9DHCHLWRuxDJsbKzIsKVR5M7p+IwJXIblwD4W59AEVtyZzZmD3JTzsAEccVBvyLRvEDDoTxRrSq+L7xmoMuVymFhDtqsWLu3ZG/tGyxsBCbbKkWINnAKhAEYPOHyvrNPsopxJVE524AC25QQsnWLNBCkk9bsHmFGJSsfWwK9NZpEMoTMplUD1wujC3dFjNShkKu+hRnCSQZRQubO1p/5A94IGWkxCGoTcCbEC0qcEigYOVaXpt0KaqmLWVSb6BBvmpWz91nEjzfq6XLGjfgsYogrIiEFQVzSjQYXleeyVSRi/xCsQgRmCBp/DVEjBj6y3dUSGbA/DRqZNmyaHWZtmlfd1rAXfnowiIt1UJkilNpEMBMgBXvWZc9/4YuUHmr9AIor5gViZgWIFDQcdVX2YeeFuGxYLazl2pYrnI2vG7ZoGAdpGV6t0N0CjXDHsQdg7KvhPWt4ESFyZg8jTyJAo5TfdELkj2ildQgBxVHQiJ3XpJCqxiuDALmeKtdcxR0U57rFwdw7mAgeDiW24tYCpMpFp2tIg5Npsn4yiXYwIy5wGgUSMpKepM9CVENsQQOjzfNjDpRDeerT9yUVhXSWIKD+i3PsmAFc3I854IFIyVvWjypjeq9VvsQbdV5ApKA+juk5DRWMC+Uyx+p4xjgNzEhJUgmUYOmX4cykHggLl5hDMBAwGys2wOXjrHgGLdBUyYpmB5pzHg0YdgYUbXkLzYuYENtsCKw5sMyY9naMZgSGWVuQi20csahWmGJyMfuRAKIQs6K7fuc2s/voKq/v6y5sAiXO4s3+PAt2xqQx7w/qgDlrl14fgEc268xiyaUY8gmKiBMQNhTfTXVHYc9PQt2uk5giFxmICFc8RmucBrTv4zJpMIHBHuxLRRjo+dV7bzbU+uxLmExgCUnAjooChQpuniuiqLRIwXYxP8FS7rK/vaBaY3sTDCSaLmCdl5MKBHg26Mgx4Or/CoIvgUx/2SNQLDg/vAXBePXGSFbEVlL8UGpwVgdsyfGRjciO4qIKWwRgCrzkyLPUIICoEenhgr2SehoBmVs/RPMlScy7LbLfbqO0a26VpzAe/Yg42DYEr2gaUkZmDvVDyT1brD5ZJTA6B6qFiJFGpe6pP2IWAItmBohdO7SDILOLCKHKgl1Kujx7oFTeulUzVA8TujFgoBHr3A06xMhTdmKHOYhLpSugfBwqgBMhQZMLOAFAahNyN4p7n7QUK2oZah/Y9YwvFXdnAtB5l42rwfAcdcRiN84omo9FivD8jihTLgHHOBl2TzEpf8OVcFPQu062Q4GqZaFUNRF/2dRl/6g5ZAWn0W3PUe6eB2+JkN4cSuMB5Kvm10MjZ0REaqelkrilUprR55GCzSGaRcbWVM3gzqpFDzsgwlMvBjk79hGbSFuDZrFOyhpmisGDl0/2gmcT8PQr0Q1+SqM5sIRG6OlVYZWT6KKOxHqVRFLhov5iEIiAKdzKV28kWnBmVZBDBNrl3NovNxCj3DmmeQEJgAMA2KeWWO8AbdtJpAkK4hDcw+xEULqN+F1hcmYTOa2MtlqZqHaytGMWwr+l3kAk3mKDXAE5p2GrgMcvY+V8gjbLefjAnwtnr02gllnKmusEo5K5hMAojQOgE1vdkyJ7cU5fIRJTMyIxtMEY2RPcPz2QuPdjyTJZa5liL3xNFt6kXsxw9Stag6RMPGO4GrMgxIxELm2vPl5nlIoppABqvEQUeYsdXJgF0Hf0gmUR8gkk4ubc6CmdjzYSqfOPSKO5kDJq6ThPE3Pkv07KbSeR3NnoOiB0HPsYN2xc++gFNfKs07BODYDRDTMKVQMV8iHC5GCsjC9IjPN2FcKPx5+9iDt4ZkfDM4IvJKCYIDMbB6npkEmU8Z1AAPg0gJ8C4vLMy9oubcf1dzOIKEAIDhT1VVoBAlqjfpUsEavyIkqhOM3Yrwatcj0CsRUbB74eRAawD2PeFdQQQDjvynRnFwXsEbnHDfW98OHIW7ht1kZSCAhaOu+XXQPNL5M0kVhw55T6CigXgVC8ym1KuRXCU6j5FlR35PZHp/yn0q6SqqUksonFLza/DJt4ESFyZxJkLD4pZXBWVHKRFuTop+TQ7qHNkcJ02xx4+6B6AiU3RSVT9AWCxAQxW0aM75zyTlVbOdUYuCA7SHuRGkF0Y0c4K9cQ12fjlknjrDEsRi/0Zl+K6VsbiAAL9PoGG1obz92QuTOIBIHD5e/5ejwxiuinFJnTdtNE6duZvKBobNRDrfJ1KLlBkSA+1rJLPggJF5l4kgMaRDKDEUSRgp1i5cNfEwouzcrN9eESJ1C1qbobPc/ToHasnjyG7DZp1YGdbo9vsrCQPy/Eieid0OWryGZ6t6k8dbaSG84NzNyZzuIY9VbHyOdVhFhuH2oOyFzWbYY/aFAu4K2MS7P2hGa17OPlLpAuh0Z0vnKqutl3W7tIgDtx3uiU1WOueTEZ6Q2kPnglSFkYldbXuEAFjxKPERpUl07DJEgYYFEho31yrjA97HK5IN0Y8uiC9uZvelUGgDfhUmGBTb1Ws4sna5rarW0TjL7Y5mATW2HZkxEBgU4IwdYq0txQosQLBL4nrW6oSTGNxHImv3BbJGhALL543Y8thkZPxG7+H4ciQ+rbUITa1CH63HJusYyMnzwVyliqNDNX6qL4iZfiNkSdhqA4P1oxTutF3PcDrO1muGkTLDmM+y7geYaPz68hGIrsapcQgg1Jg93gRFdkI1Dq/XJVVXfNUlF5BG5dQ6qhMyQphAkNIVSNtJpEiCU65DiHBEpG6QgmZWW4JZMa2GManHt+euCH1N41tdaWxwnjsBRAmSDy4HJMPW28i2z3/trF9MAfLqq7tEzzMel9wou2oXAnWBQ1XYz0qwWBb5koEcgCY112jkpl1fSCjKQ7Oxs28FQPMqQ+s6GkDbcHdEceCR+ZH7ti4ed5nitM5PqSnJUxGEZaM9RaZXCXBMtvsogBq47UENAAu6y1apKx22YMfH2nc6y1vAiQeFlbKYL7oNp+trMKepGAeSrHmdyUUl46eF0Lp2QpbarCXRydR3cud0NwQTLt2JVbZkzyI1LxcUY39JIIh+quMxm3FJJYezgkWNHYbx3SUY6xV5uJWwPDgikx3on7Lbeh5X9NWJxv4xPs50fru3E67SjOodwqYPj7B6xYYCDDW4/kFENIkxE70oQ9NIpvJU8gLHaiPaUn4rfCwGMV4RIflBLmHMWszNZEbDPeVozfvvoEj35EdmUyXc00Ylhs2Z9C2WDiY5LQjB5LdI1WJFwMDoUjWyesEox0JJlkmgYlZo2Qpm+CXVdqRkqgnEhj+wNyNWvjWnrVNK8x8fMGZgELqFgKIRPYsq26KKdEMgQpkJHBqPksN8Oow6lG9QqiMWydOcah4yKUgjQRZTLkYEwhGmBMwGGmLNAjzBoA1GESBBNBAoPVgDScmgSes4woa13Rs4Pwirm4EUCwEaICA6QtUDTbFLnKII6DHpt5gliPBQy6CocZecFb6BArva7XugL5IzdJiDSouo+EYSYGV6kO/xf74PjSBT57O4JFp2e6OWJnKfYhRBIeMe8BrG7+gxpnJg9/+yElwOXyLiF7VLIHE5BZl1uVNSGvzhSRi9jCwRtAfpLtRS/QfTaSCW4wdzKBlQdEayfecXHamZWuA1yZwVKJTJIi8eAuQOdAr6V+mWg+mEJ3/oJmlNt2NGuo9Q5ybDY7p2KYMyo0H16HYg0TNHVXmAQyuTGJnjZ2YBHo9mcQKGUQfkz2w/G9u0OjSiQxlUbjQBdGRDM0Z6Ymx7k++igwXqCiEyeBZ5gQQlgBhTJY6RTcmaNW9sM7H7zo3WO9ARi9WPo9yQnz3F72PI8EkXQ+rerHgPBEO2EpWuY7UKMwW7AgsDxxHMgiLA0dsLEsWelgOB7iJ1cKwLRnpYoamrwaNnog/Tk2mhUsCDzR6VOJoRwh/MCHQetuTHpC/Znts0KiwoIqaGIPlVHGRvuOORYQ36JsXzhmkNOQ7haODX+maH/HNhKwdq8rPSWg0j2XwGxqn6evlZqDXJtdCTIJ/G5M4EiQe3Q8Z/poGP12Msa5IxRUcTmuhqkFT1yPGwM/QoC8a+Vzb2S51b512TaprKpvvU9cpYXKzbAzSNf4enenDoK1iEjL+mTsxoxliFKQCZhnZqAelpiNXKYHIajYvfU80Ds/QNVMowpDGT20CR683gMMdcQND9CtHmFIQ1diiHLcB3NjdRWyESUhlB2cjJQBxIhBGxL8O9Jpf+yrm/ErLGwGJOK0gBxbNKMUcxCvmF6vyvUssHMlSAPRhXqGvaz85q74FOpOhdI5dZbNXyc/0WesPxR56LaCADH8wCmC4AaT3zSJAwLB+6KEriDWcQprR+zDAAZiMYoBCjGNYRsZihtYzaNiLdW18H9UwRwaVnTKp2uWoFf8ug7cEq0x0QrMHtWtpEHP7YAXlguhZTkPPu7HEwSjRogio1G2AmWHqcZFCJwVPOCoSkWJoJsdhGfbIZsxvtObXxV7cYNyvmc5uTIS6uyWzQM409WLGWassvzpu0i9QjEKfeNzwGiIe41kjUAwiWNMzqaqeq9/Cn7S8CZB4SJ4arEJhcgOYQMX+bLKOiiZogNcaceyeJGZTh3AN//YWLYNJVB7NIHLMhYaE57c/cxTnIkho/so8voTKmU0ZhrVpctXzN4MoliGWMNyIh78HkzhpEw+CZpzDpIjhdowBXkAPBPNRnw7017cApS1bZVdVxfMFtmwW9GGyJxwGLLAo+h/NBHUMjVLRjINAIRcjgNYQBA5x3g+gxlfUjNx0K2J1GjsIirqHEkl1vUhtIYF0MMXQe3e2GaZr8yQZ9VDby5Glm5EQaRHtDuTFg2mkcUJG7xIDdDMCypTsEGtojicW8YMTLj8VAtW+6B8gh0UNkYZe7PiNrC7FkgOiuBxJGmIiI8wJrZs9FLsgQ9As2xr+XR/mJYuAq4ejQi5WEJYzLkWCgvSHFiej9IgSEGX0Q8C0ARLFQnC6+QYIgQWVuvOAL9XfoLIxjpl1zRdySp46KYxkKnP/+JdsgjuYAHVKesIsr+Qgq1dsq29jbism0bdYSz2TmkogJ6NhveaIUR3TQnimUToZKifOXc4warIHWNZlDghMALo7U62Rs3JvsoHN3J29ep7UHWl0dzN8oGsbAPZKANqm2dOs2S+fpwd4sQ0XQKx6h8XUqgp+oEyieqCQvbSEqXwHHxmU9aVwdDJVZryRITCjctdgrVtFMJKqWaVnixVUpIOzadcXtjhwqyaScYyxGGsMzFo9ytOTYrL1leEXUAxAmMBwAgftuzKJQCbyDGWrE66aoSRQoMVCgsnJ5x3ahtwOkbezJuEDIAAM1iEtopiE0ogt6EpEN2aGRALG8RfKf3FUHxlWoBCrsq2bOcyMTN0KgaWYCaI+P6D25q4U7uE+iao4chwIOxOPZHse+Q0Pp4GmK5s8t5gEAgq/Z8TGRll+IYwJUDUSVB3akgbX/USC13g22bxZgVyVNOHtXxiTAPTQqZ7nEP+srdYa+hzy30SANxvwWRkWU4jhLkjfMOzLuWqA1ihbn9CbDIYwL3cisyZpFIFOsQ52iZrabbIDahf4FEBUjw9+hhrtj1HDyGPG9TFYR5VNYy63ZKDyyaMwnmvoD9mD86HWQI9upd24lbMQdspdEHMoDs1LTnagG6lJaggABVh85hMjkbgJVE6GIiQ5f6ZVvka1M4mcemgJoUuCZ773RTdjMdK1xBQsB3Ldg5GLyI5jcx6L+b3XIMhs8OviZGbJEoxj9JT017k+2d9EMYlyuweTyH0cDVsuyg+WSUxVN3uWbMNRrkUZMLUHWOZI5G4D+JFdKEIhXSEa2cU4oqIW1Cn8hpcx/FvfzdhkDMU4avCWZdYl9YXYySTmYK0l12MD5qvZgvSGmVS1my1YnMs0k4ihRShd20fkJGsugSOKYTysB5OoGamLbeT+tiYxBzRzYNmghaeYqAtgRDLEJNBrGI3eEc4P8AQQy0qoM7KPCGsBUx/MAs75Etw3Glbe5rIaVh5kEPVls4wz9ndK6hEzpBFr8XseYhIZLl9qEwEc4ch5KVdOghsHvybWbCHDwTT2tmAYMy8DC2Z7YK51tQtQ85bbNSomgbHPTozpNZY3ARJnJlEtrrbXo1omHZ06LgLDmIx5nLNjzrPTUNsvV74iJXnSU8DAmkmMk9N2aAByMYBSmacQaI4e4i37mULh7L2vjKHchckiYgABSpw86RU8ZpVDey7bQubj79NzDq9i+Bujt+e92Ngmo9UJT4O1bKjRfEeGZApkBTWGQsDg82Z4K2vcivX5ZewP41QM/YUzVbijM7/A65E1KQ8B8AatSDclB5U2+5lsNHWudEdKb+BzbHV6Ie1rtHE+jHJLusqt1qfMocEkykoE3PghZ1wCqBY+rFICjcX4eAnKVsY2sQT5haRwWhf6c1ZsKP26k6nujh60FZoWXzNTcUp86hASJesm1OPf+Zvb9Pcz7eFazgZbKGMXs/iUNqG/lc0JAN46xUmTiPmbfZZ6UecflUMxUUEGl5YWckEKIbRG/T6FO1eKt8qgtJoUBmXcymcwGqUJMOQiaBubCclLR0xi3O0Au9qWQYTTMz0sw2WRCBA7Xd3Ne9tuOA7kpDRIsfHmnH3KgHUcuHtgHauTqBz8kDG/3cF2LV1D34U5yDb6EdTmzx3mxO2lzlCZms+f7Bsvbwsk9O7q/WnkZ48AtVm44mo8jMaO6LkkElP7gz16OYn461TWmVRVglAhf3aTzoiKvoMRQM/xkJwQ+sxeGmP/vQJQSnZ9ZpL3bk/+JQvQejCHsV8uxQyRVlkxDl2LZaNSuKPBAmjDYGWKXQQEJsOolCsxKFBU9iUG48jfxaQWgM2yGzWBbQlyC9lrew+L1nDIZXmOWhbOkRJuK5dp1JO21aziuscCx257EcY+ysYLZqewMlemxmQonyJAjUFhUiCoV4CT62Id1LoWHj4HgYXIbyCyyqwYUrZf4y1GswixnchQ71JHir+UtGxT++4A6FR88/1KdMQQFfNgznAJfXfjDiZRgWxDQhDFps6vQIU5RSG3gwO46JIo3CnhEnndixIs3wAAIABJREFUB3ZABhCcMKZYhp5RyVT3wRYG0yjXQPuAB/0iQtmaI+ypYyuVu3UKRLTuoYiIAdg0+krL9uGK8DoYEXkDajo4CnzYSssGyj9ZYhT0k/V9D+VdOEZSlV4AaPgBuxn8TiaS9jXEYfSAjzEozAzwPVjGgdqvVPDSmmco1vOAgiHWR/AZ7UigWLdsD2tZsoV8dByDkUq3OFbOwn7YwvbA7aC4CTA9e8EtASJ4npsxlDqSACmbsM2CIucAioIPDW78Qbobo1c60UTrj6ucd2Ul0BHugVopKBqSHRgOTmfHJCqGMyVWCsWnG1KT4wooqnwyFPmdmVm5UOnUFbnIl5MsYhguDVXsYAqSJfJPJuEs61Fp2We2EVic9dk2sIZOATSjyKSpqN7W2BsbB1ZhSwGUgEnUHX9qWFzVu96Eyu0rs8BMoWDKtQwumDAlERonBpGJUIxk7SixMVazs4peDQ3h5LYM45fAGQ+AgNYkuJ4fUM7oBvOxFxgyTU3idkvd4UB+3OdgeLNnvjayAhluzm6TE9se8MgLuoCRIi6Ynm3GyWiwEBw80ODFSpU4SWBW/TeTeD3X442ARJxWc/Gxi/1S/xWMNPJApZfceYzz7Ts06QeROCI/1ELhyLi92QtTr8kS4GIqgYij0q/FGObUcGWoOv8w9lNm5XAdSmuoYeRiDJ3YlOXyHOaDQQwGogc0GI+1PkdRrgYKaGDXHgyCjbuSsKqGst5N3XUlT+QIR0MyC71CA1BTN4NsgN+2sB2IYzXrUFh4uCjQp/920OVgjykQXawYTb4ptnRpRwVEGih2CZm28aGBQ/dF9yQjIMytsIW9o9Kyj7Ww+e3RfXCqAK6Dx7glI70d+RW4G1YP9GLileaydLNug5C25vUG+uPBWbf6PGAzi7aD8Sb+pOVNgESFQAdkGnuiGb5WB9BHaT9RlaFMQ7OC9BHz22+pQRgS3XOOSzC0Ceir4GISY5brYO8Q0isWO02tySRcqdhkEmIQfh60dQUHuSgLSFcCSAbBY06ahIDBoxhIld0EDziv7XXNdkmCORvDxdAx1B6KUQhErgYcyjZJxmXyj6RvWPMOsQuldIc73YdIVwBgaquyGdnrT/dni5IE7JZuZukLKsPEp8qzmGxBr0zsIvLeKnw7WEc9B4ecaq4KoUgQrNwjP+rjG8dhzS7RGlaGbQ9E3JMdcI6JiM0P6uwTRmqQnFroIihrDE3ZBZpBrLHWsY14r7O8CZAoT3CwWNoHet5LeVyC/8jEEa/DoABRq8ONrJqkLDMrdYoOU9XXklzuBM8W1UFXGCw8AF/V48aIMtQ0atoX/NqzGIZ6fUU9TuxjMIgYvweYiEVUwlSV6Rs1IIebg2Wi14hoJrE5TKiiGlr3+5DN9ctqo0yD8tlys4wliwlvncKlPSzA0qlvV8MIaJyGrpLAliW60vG3w+B3YB0tetbNBSgjsn3QjSgOJAah4eo2AEI5HIM9kEoSpNTeUB7OQrKDwxjtWK1j5fSIeevbgeNIXeGGxYSrjHrcLEcifxFrMIlsf/mxapBRTAaBYhJ+YRIa4NV8Dte3942WNwESz9Kyi74XtULlM7C/q+iFMiEbQaVTADm8m0PFMTUJvYSOamgwmIaVn1mElOtkFCCj6K9qDQYhFqFoxhz+LQOfbOLKLsJgm+xgAsQMhUaLlWIVBS61LxoUnI2nwEquDI0h2CTFNDDWGKFOAkhUTetlAbDoEKORqVgefwRdjnrTEj4TPCo6gtYkKiOVbkUoR8EV7UgQkQsSPsaQDLy7RNT7t4Mp2dWo8u4i25d6iAAqgqVAj0TrSpLi7x6NnG1KIpEEyC/MSsgNtnXpx2aaQoYuWtVz1ttCPGgQy9ZgD/3/H5xw+SwtO3onAKUXEyfZA4gNFCiE1UvOhU3cosQuNfFmGNQ2HBUlyd4s5ylEbRuNCekrwpviKgJQDStEa3kfw62YjVINunQF0f+vYBACh6I5pYNEs4wqE2dmASQbEqAovCzNgvddKd2Dq+n/1UNrX7GI8fdCGVEYXYwy5Eg6oC+Fh9VvF+5YXwUM2Xrwi9thsFuQQdDrEJBNoNAZbKwNPXENw8Q5QrTJlCIvEkKb4SA7D+o3bsx9kO5gTKleg9ypbfL+I+hhCQfBqU0jPzwcBTYZLtV0Bs6HCNaf5qHQdzgUDp1d7g83LRvDoKtCsiE19ZoV1p1cMLIxB2uJZSQ76MlncoDXguYYjAKb/vJ4sRc2jqlNWFj1/tIjHlgEAeCkSQzjXwMgVhl/7ytx8goWEafzWMQIo0btTy0i6IYMEPDuErOzU/dosrgTo5ALoVeSdT6MmC/BSkjK92RF7tjjL/a+QVcirCMMRleJxtkCQ9AVyUN8oz4IjGHIFcY0m6SnQGQJBDRRbpCNFCioufHA4XapXkT5ZXvq6R1W3/cEDR0FDmyvytcxVVG2P7cFwwG3DfmuKcsEFv9V96brknWcskNNHOIHyiS6GrriS9FWbz+YhHkr/4B6cnKEkfmXTEL7o9hGqMOOk/BP5M+/vNgLoKQuiGn4vD/0K5lRE7EPH8zi+g8oFlC6BZ8rIggizRwU/uwICiSkwC4PFSVUDjfCnVSeuRBKcw9VgiqiBTsrrUJKn+pY3ax3r68RmNA6YIvd9rHGhy3ZsFd0/oQ+NS5WJlawBUb5/7UA3wlIYgdlPQ7UZ/F4i8HTbwqUddvRgKe6z+hlCpPpDnmBmHImJIKm19mzs2sYeDOIZA79JTigZ2dnNfPenQqmMxyqyZudN6+yHjEGeuldnAd49ZfGf0BM4rqYFCXZugxbBhmkX+zlNww54ai8NwwQaI1BqdfSHmKyDRgntBX7YDYmv+9ZClvofoz008otqHwIMgmIFQwGcXYh0OnYYg4XpnH9XfkVHkyqCl43GUdpEE+YhHpGu2/+2RrGFSAqclCGNCwKAIJgg40av63dxp5sMRjHd2lwuh0qQ3dN2KBkJoEDMzShaEeeBBGcj1LYRDYgljAzLUVECtdUDcUkeFqVITjPGbYTGAjQcqGIhDm9XeZIwBT65HDyUEYmBxuyg1MMNpvTAoxf1TClWOf5DdR1+PgVAZwAOkDAxCQq0vE6bOIrQcLMfgzgbwH8DsBPAPw6Iv7wmfJ/C+BHAL4EgIj47VddI65/ic/xbT5oFkajYMisOibI5xuUVvdFhjGpohC+ciTY/QVhW3TZa1ZrQI2jp8FHXadEQxqCmHaX6999ZyOUKTCZzGHoC4C6qGjmEAMEHrSIZA5aB8RGRoQjxjknaJRljRd0fg0V1qxvkLLhBlA99lLFDKFOAJBjOVY9Gjioy1b0toM6AJmjRL6cPdtI7zFCnnQfQs9ydkcYaeWcmKiQaHc+NM9oJpgsLNujPiuqMCffYDJNdV4e8JXtJpZxfqQOC5fLzKNFTPOzDzonqs707/Qy6l2cGpPOyNLfEUgA+MeI+BsAMLMvAfwKwN89K0iA+HFE/APB5T8D+I9fdQE9urQJQUO1CgBqBdl4zhUdbOjFFFhJSkrJiW0XOuUaNehLCO8gzSSKeCgkqmuYAgAFItPo5yxUU3gMP+sRdYyYwe6ycKTAeGEYxSau2sQWOAwhU27Y1CLELMoNIYDoZjZdj606L8T9xIuarge3WzfIzL9IAynavwjaS26BpfvB9PBgFiYOTgMIujuaG5TvXkOpZWCLyUcwqyxSTVqrvC8NKmvtA61BcI1xjIhjajPpdhrbgAEpvq7oafcdOVYDYjP9FXN1PDsCN67TvTBqbN2WPSuPt9jtuN9CnDq5hozWJfL/36EmQUPvW4z40sz+Ez4BEgB+FRH/XmXxNQACOHfShQ2nvRfRLLuYoltNz9T5dXgT0T2DBm9FBefB+SEM4CxTYOJVd4nZ4POyY1sE9J1PA05soBgBt0fkMIOzWzLK8PcSg+C/Ei4HozgxDYxrFSA4hUnntZw9J+HQGyyqfstJZld6Fe6uL2okMNX2Aol2FUzuAIyZkzhnPHp28QnlayiMQH0R+mg8kgEbjRxm/BzAStH2hhqdKt2hwHm8GwxgKI1C5y93pV1b1UW9X2oC0MAsGSlPWoyB9aKy2QEd2HyQDeAD0ElUvIA6S9MAsvo9KZPKrsv69cBBy1cxiZ8AeHAtzOzHBIG5rcqa2U8i4ndf9yYKFKrNRYFBMwyv3kR7Tq52dJvdeoFIpXtDAEFdg511CYyG6o1yijGlXidLyaStdjlyTot1bnwAlLyTQmVAHwWWqq5M4mIO17X+3gKTGKHRWTYAMQ6PNLar8e+5PusSobJy1De7a3WN28dzDaB4yiSiu/eaMcWGNfPfshzVdCx+UILr5fV+QSNI/3w1CMgIb2JpATssjdUy1mhkEskS8rli43zvJ7dkPMbMxtw4k1duOzF9N9gBCoRyV+UaUCeL/GbGDuC2bIia2aI3gPCFfaxyNzIsmu31NgZ4VaLfAIFHBhH8jVeHifUV+3/0ZNvvAfzVk+0/BvB7uhxfmtkvzexnf9TdVGfU/psEG1XOGoWT5RqpXoYxXcmsARhDloaj9uslKrkFFDQBiUsczGV2Fix5TaVskxvS6GkUZB2G/F4UgEqIqqEGxSCimMHSdjSjQOToUatjzpENNRWxjxUJLIusQv8KPUNahDdAAAkQ0UCTA750jPfa+S8COcySxwBTEDqXn4KoWJAGlA1t5Ok/oI6Bnn3zecF6gFXYeOonFYbGeG7WLfO7moVpbf0ODQxlD7CriWnZFlKLtV6jgaLaQiDZQK2zZXgYzDJcmgPd8jqZup3tNVuiDY4M9HDwfv8laF5MiI/1KstrRjd+BOBnQ7/4NYD/CuBfXwua2S8A/AIA/vrf9S00ex1ddG0DhJxKJslORXtQKOrFDpxhI0efmWHQyKOcsfn2Ozu5qpMv2Fjq70CN2CugAODjtsUg1NG6aCyaHQAXdjCOBdjjo41kuBtyQ3IoOtmBB2K3u5FdGtfhZDcEArkZwGAQ++JGDDA5v8ALkxCvX/3bkGAiFiFGcSwC01FW259HnH2W1wdz5ArIPVR/GRz8Zc5sTo3xQFa6GECw7sJMn8U6aREVxRWj2Bgp2iimerqHYh8Z0ViWIqq0BXluOwIHp7n7wN8fIgchfoBlunqgZ78ytVKQUUzdrCN802asjlEMsN2R1+AVX8UknrGGH+GJC8Ky5WIwAvJXV12D+34dET+NiJ/+m/+hJyWUDlblgNMzVkLJUJbBSEJ7bFHojYHaqrAcXGi1T+M3cqAXvwHKBhtO9hGDVSDPC85j2XpFMwFDi5UatKV9HeXI3m7VMelVLrGOzYSaCRBolrDIKMQcVmi7QASjt/ZmFsGbqJCO2ID3b/c05MkGtF37tC2CZePxHBGPa4KYiY0MfeWkuWDev9Z8tpj1zU5i6jlAi5ZkFsX6bBDW0RfVMbVvsNkCMe1kNVp3NnnHitRYsWFpBaeBWGY4rBt8wBit6/afLS87xWq9BIS6h4t9KIlq5lu+xvJVTOJ3eOJyXPWIUfa6/AEJHl9vGfRPq5PAzp57Ui1lB6rHmxgqb7Z5SOoNFl5l02ZHTIXnCcb062vUvH7GttiTlZjVfqLRwYxIg3/QIuaDRfdyD5pEJKtZVy2CRhIUMoOiZoyPhKRheGsWz4x16hcCimdMgj1z/RWB0wQ1vacrf61mDtI4KvlqsI+KJ7KLXhT+FGZYadzV5C0/u2fUiFIbYpanLr469TtKSwhe2lIvAjrtYlz+/OhRorNwVTNhiXU4z+lBTTaAw40Dr8BJaKK0iP6mS9TA1ppykYCjYUFxYhBZvb76lSgd28VmySbym6DqzF6HSXwWJBjNqN9kBf90+f37iPgDy/7ezP4qIv7AfV9+Lqfiay1qh/zh9ZOVqp5eaF5hpWQoGQLtGbNTe+C+YiRDr7BV39SoQV2wUrzlJeYdcB1grz7yI3jPCzgnVGGsMbQI3sWJXUik07EXP77DnHQx9tAbHJkj8SlwiCf/gIyCTBdD+2zIyWVJYnPdc9m0NB2/RuteM6sS0IzUetGnrFSGIM1J2Bh6zPwVrqPvo4x5jfOHbs+mbDHu7/y3Mn273NQArgf3y9S5Z5KTtKmZJt0qwwzpdur2CtVjX4JJmJ2XggQnJU41uWgtrK/1py9fR5P4uZn9EkymiogZ/vwVgN8A+LXKAvhfzOz/BvDvAfzPf/wtxdM/86d6dWIte4kwcF5EdbrDbx0dnNKxASW+xGN0JMQm4vEGyDTyslYGLO7X+ojJrh7WQrkgCKjHQsw0alz0Cxk2ugwBo3o8plmH9AqMh5r/pjAJNIDoWP7LemOZCnmKEfA4JU8FSe5gD2Uwq7pcVJcoUNF+3kNUGBQII8tw1Skvu1H1b/VFsCgAqWHm0p1ibFOESkBCRlBJVgDmh4XtUk3Ncq30iMqfkZYN4jFv3cFAFP/pS/VK+ttqjwSauy18AeAehg/FDvK6TmarGa1KJiOTyGHjua8+S/FtM4msnPgSwD/w528v+35++f0HAH//zW+HKCv2avPF0PgMlYRymuTDxgS2LK1ohSIbG0d+7VkRjEL4zrUo31IDwOiPxuixxCg0wEu6xJwyXy5G2YPuKtLINbBrORmDd+OuTMro8sUi9DdURqCAZBRqjYpWPGMS+bIaEBUFqWgIAcJHWTGE2cXxt+i+EXyZS0XWNABB9zHTuKFr5TqAmvy2BkhUE1AyE7COHAmalsx7ottQ69C7Stah2fPKS8LpNkh22oWa6dnSZHUz2TbVXqVZEVbNhnmyjTGrK4uJKWRbg85FcNVtqIXmNTjhojHK8YRJrLGta+tPX97U2I0WJlHr2Z+HReYeqFzV6NQScnH+dkJFk+UuJSWibOG0vxlFvnLOiRlNi7vhsuciNZaGwW/NNCtQl8B2bYh6hiUWUg+gnh3V2LqHZ08aTtYxGAV/F0BURaoyeQGmaTeIqO6jDXumFD4DCaB/axIZsjvQGILuRmZTcvil8wHFMmYiFVnh1fhTh8j9dgBOUI1iEshp+qvHV+SpmZlXHdE9cdRYD70j1Tk8Tl/5ino2Oh+hdxkPVVsEDJc1T6LpCTRAK9h2ul10IhblrySSKj/K1lp5QN8Hk/guFymzUw/L3ghAGSJohFYvo7WCRs9q01KcmzxD3w5VtMLEOkrBZrzaDKgp8MbZyS7EJnJPMhzdr0ZzXjUKMYVMsbaOWvCY07p6dJRxaWBXfcFrJFKdBnJVNCLSGq4CZv3zIWBGaxqgwcgVmfNfVt2CvaKV6GlyNwJF4Qt09m5NwvnQAjJLa9XcmvCo0b45IQ1BqJhjX6AmhBluROdvT6A4hw8rwt0NEAJj2IgS8J15IF0asD2ykYpVmNqmjTZY7Tp7eqbhsW3HoAxW1w8Ebz/qMYpS6x5V19X2A2brh8skuto5if4wrH6pTfV705k3nsM/6AYXXS4buXQFqGOHXIp0M/LV5qHBF9H3ck7z7QiH1bVQbUjvVttqYpfx/OWSEAxrgh0BQbkedbOnc5ZRqYyfKo511/VU2oNyKcQiZjgUqqBR+/Ws5/svIVMAQSBon957+2QjHmgfgPdgCYIPbFHU36ON0RuwChh4TmP5Wb/StOq+LvYucRg2mIXqoXQNQPNgSJfKPAnOll0iqr67cR4PpA4p3HKOz4h6pQKOnoauIxxRb4G+VKiOel/V2eC4r7F8VZ7Ed7LY+EvmqKQpvf8RpAS4rnRY9hRKiNK8Exs5S/ZGwKPTsj36fO2GB+u+e8zkedUZldH2PUfZX4EONxcV9N4m2yjNpR+u3QuFNavhnoGhQcBzjsqpLaDdLkwgUM6DewKB+yWzMs7li23grG/UtQNXreMkeuYnzoqZxGn75RoP63H/wHm72JIMnO9doNi5JEANuBv1O30CZa3W+JLoS+p9nf4B0HDw2REUiNBwfbgfPUW+wcPpRuTJ+kPAitJZnUdJejV/CjpnQiCkVG250XIttH4tgADeGJPI8PtER1VDe1cKltnEN7qJADJ5KhbHCeXGVZbcSVZRjGQM5Q0AcfBd2TDwbBw101IoemHQAC9oH49ZaoQydqCyLpMpRW1X8pDCX4uNuT+kI3Dq/qRAR65JPvwwuOFGAANI0N2oD+MFmkGoTIyyV/YyaDmbOA+LHP4dTc0rrLmQbstal+vo/BVk7fM/rEedwLAiOwJjBzBDoLB+B10T1o9CTaKyLvneR3Pq20SzqFPXWolTvEcb1xojZc2yszIzjk4xjTGsHiZWfm9j6gnJGwwau1T6W9W7podu9vHay5tiEvle5U+xAaMrAJjA7l02QGEK3BNd0UaIkZXyQnyljdKhYzgv1alb6ZEf6tUrf+RJGxb7mMv8eG09iI3rMISbjZ0Qeek1Z2/YjCKA8HMvXV0Zzj29UrJr/YxN4MQIwh36TklEspzQPl33EyyjWMtl/wmUCrA+EYVRHbB+Mm2abtKOZniwwQ4U7Rnt5Xo+2XR99rBBN6shxlpg1+c9Mwyg0rEZ6cq2yMlnwO+Ihtgu3zGTwRCoxKjAcE/QzFhHZVn1RQITjBKz3b7O8iZAQstMOQU6vNMVgdZ3ath3ipgb/N4GUTrdXM1vqc/4rarkdEcy/WSPMmIU+khtWjK7h/oyLf1hbQdQKb1qfDGAIc4hUaVhw8lynM8LDIYyWEYdI7o9QCAA+dlXI5//im1UHct3ni0dZwPntmYqtI4ZDopA9JDZco9OblAZcq4N4x6Bk3AqQKg1VC6fvYaBENQ10EvAr5nVI7ruT0lsYgpyMex0a1U/LUJLIESzgvGeoQ5IxynzSUbOofCLQwOWWKzl3JZ6j8bzi+mi2rgSpMg/bLyP0VlpRqvJJF4LLt4USJw67wsm1jsq+3BSr5qX5MQOgJDtoYRIxEhAGfpF/Y66DiIY/+cbmTF5NcTqSlANU7/VSKctFxFBG2d9BDc6VHcN5+JynaqdAgFvpnAy+v6n/6q3dh8sxus8QDSDQYAZX6gRoWW43usAGcZznWKCyASQE3OoXI1nGkXfT4xnLN2owCxK56n1CdAwAKi3nRPXdLnoY/QiTgxCbovcVN7feMfSIGr2M/Q8l5sdjNON7XaY7XlHd1pZBZz6gE2wWobAsf5/tZo/fXkTmoSWcun1EtC+ruHcgQEdErNYo+TFLyNqq6wGak0fTuuaQt8T82umY4bOTEDB9DqxgZlAZeMfnv0u3MleUHeSdxVNaSPOYz7UEmUI3KYesmvmDA7tapzdkJOh1vkboHQ9icJGsLUL8glQOxMTxaQE0Kcp+2UMes7hts219al6hKYiB7ok77MItykxicfOe6oTs8B4WaeA2XhPbXy9s8tGv89yBeb18lhjsllWkxUT4rCUbH02Uq8htuPVNjSpVzKJqLpFlc2D9V8reOPB/oTlTTEJ4PJY1YGoGmKUaS6vxKQr9Fv19vlP2REY1Zgv0jEBidz6yT3l29G8itI8qrHVlU+PMI7Uj4H9J8O1opzNiB5PVkw9Rk9yMvjH689e/LRNpWzci5hH3dsAmFlGACRgkl4xwQooQbTYjo+yJ1ZxAbZo5lAD2AQuBYYokJ2RjxzLMuqEjanzS9Bu3DzmUuXV4Yw6rys6M369iiBO3bwur3lIrIJKrZ/l+fTlsYqKoccpKULsqn7rawnEBehzYprH1vjNljcBEp8SW1qjUMNrKOjXx7g3LdXGOo2NLxL8opL+jvLy0N2Kbujc1TQ00Sct0BpJXaPR1f2rEeKynfd8xfpKtVaPwlbR5+X+0DfRde7Jo6bReQuc3KfyJ7cEoAah3xNwWgexsW3+7rEufJfz/HqRcQXhvnfd9lzq1TOFudsC38F/I+/djm1JjivB5R773O5PGH/HbD6oQJuhORpwNCA4Egxag24ZAA0IEbqpQWM0aIMIUGBsaPhG7QyfD1/L3SPPvlVF1qnCQTGvnZs7c0fmzozH8uWvCNWeqb16Y6xb2Z5Sj+/+clS8ftdq/J/3UgG7tZUB8OxZGkXJAo6G7oAny++Uy6be1WmIaAaGwSzRrMPRRMj0uUK88/OPkeD1KUDifJmu5BZ0HMwWt9emskBlshgG2LiS9kRZQYwYhc2BIkqsaw8GgnGsgYC+p4SN9dNPoT7XK8U4r8/91fglfmfjXOWQzLqp8i8Gpq4bAyJi2CJKxWChO4Oowf/qTy8WgxXsEn0RaPvBVGUGDSpWcwBT1HPo4UJgNdlG7UdF2mQHGniq5PIZHa/ABkc14znGR4Pe2irYHuhrZ9t3fY/eFGhTDs9drPvQoxItOrwjqnrEJMRxN+u0mOdsv/HGP3T7FCChLSsFQ9/igZhEtFQ/hnAYrciAEmaiQq47xFqeEMFFsQRFCqIH5plGrme6a38UV2y19gLM9N7+DnErh2YLCIGWHdJkfjcZQ1m5d3OoEodjYFZH1z1v3+M2kA+1oh7Yzr1a64h4vZ2Pm73kDmIAZnLSDS2zdpUBSrEZRwtwX49gFQp/blVjZT+YvzNuWmkZ+k5M9LjTrAo7z/V7vb+gJL+LKWYPdfVbs7KNq/cmm7BSacUkxtRHxSSIWfgxwrI/FUhkpaCQ8QTCySROem127rN08P/T2GYhmBhIW3qr7sj4iigYqkGm74e/4Oxko9PNHKUpvI7xYPPC+Zzv319LG+YjR79B/fdecsTtoDrki1IFK3G/zyuJdMjOAS5oSXZnCNM9Ncr1z8TtcxyfDePeYBsH93uPR+rfePcu41ifXqmEesOj/O2VcT9891N2O86bpPQXn81wqaoTFD/WG+Lw0777zcm68KNsnwokgNswrDpm6wwmcVwz+xLaSMThDvnOEYEweStktyCzkFTgN9mnB2UHasQb1Z9iBDEG9ZBEdR7iJPx8H4cTTey85izT71G/+67gHIyS3nFW0gv7QH6Mvv7YviaRXp+/E4+aZ+IOHl+9EMXu+rlZvePZpu9Ls04NOtj3nGNoXF+xErq/rlV5O8sfo5Nlz3a4q8MF442RYNBDuW9nAAAgAElEQVQeOwyDtbPdDYzIbPd87a3X4ajn17tLJFr/3kdunwIk6rWqj8ygEEn+W5WE7BFWwk9D2kcrVxnuNbvPTAXTAM6292rIeizx0Op4RO879Xw1tu5UFPUoXUSGLYGKjb46JeMI6ol4f++uUKFMP1Rh0L3TD4l7t1V8/228DOK8PNCGUtHgO5P5mrQPdDbnUAf1U6LmVVeaDLKnNB0d4+a+xSjLG6rus0u12vfydePcl2H93plrACus3xg5noJJIVazLZzXeMIHlqWg81uDT0A4Xfr3eIkftn0KkCg4qL7RgT9Nu/JTJbZYG73UududxIxhU8OpJVsSV04/O4/2G7tiAvgwhfrFc0KN3redzz+lUpXBbT8FO4PCtulzNOAUVTif/y4FC0Qw9uOhKhPyeNhoIPsa4HyvLY7dNEy+ok8VI4H33zUY8toZbFbvOkOHrJmRmETl3AATcdXe/bs42QfOcm2eub/f/Zo+UXcfnSNtVz1zWP7srrBxTbJ5GtubUVxiwDcAFiAAfY32H5nD8SlAorYSGlQXSno0k2jgHwOiBlK330bOOQnkTMXZ6WQkolmI12V2sFym+V1JO7NmEtQN57wKBysYA7ukEsZ3tzHTj99MQp6cOb7Uy2v+yHq249VvnRaH9Bblt+NhJ2XBixf5vpu10W+wlzOcOeq7k81MlhEHWyomwfvq9v25meLBJCZNG0CYuxuTGqwj4izXbTPvd14z60vX9LnzvTIMJtvW4ZnSPssMUAk0c3DWhfHhZvDcnUF8JDho+1wgMQcRDo3z6Dd5nugbUXkNWWm5T+/CZv1rQNP1iV33N2vmYCMut6VdoBfkZGNzBE8mcdiWxCTsvbB5N47rOM5rBkiBgJn3GPy4rh+MQNeY9QQvsDM2Yv5w9Snrv++lbswXiPEifb9497KBw9AG3OwVKXEpcrNABUhF30pMQglSSugqga5r+V4TCIc9R89bWMKxGtZMou+jazp46uiU0VWRPyPbFo2U7D6aPm/z3VLVyAcP1tuc6sAkxPhM/Xz5J7YxGUW30Pdpx+/ePhVIDBsTTjnaHaTPOhuWAwiyVrTep9qMGnBM8BIds8kg0uB5GC3VKSaTKIk+ymjiVAmEMaO53fcxymLutV5TXxsEr7vRMstHzYBUAV0v9J+641wgp47Pqi6cETv7VkbB35Zkp3Sfr2DzPsefA+Y4XKA+KpGDL2Paenr+qFuxop1i1X0ET413XRgMp7+L+Zyquo7c5+9Y47GIJ+PkT1UwCsd1rqrONh+fbBbB6Tvp4rSAMZ1cLlGM/RKjqPYZtiv+pA8Wo/1pbfvh26cCiaRhExz0QRUwvxiTM2DiMBCxMYOcagEXdF5wY7dCqxuJxT40ou0Y4cARrCJgaEzp5ze8ZxQGwE7cL8llswyfXeB00qgGhlInxo8PBHo/IAZCqaupHObp8ULvWMIsqnvwmdCqWug5denRViOYav7w9IAM1lBVXaSFZTuOubbJACpgDjj6y7t3ujGLYhJqX136jjVMY+XtUaLv22nggMVYU8MkyLovTNsaUMu5YoTU8P5MKw/2W2hv4wF++PapQOIEgfmFjD2oijxGZZydUasmNaDmQGu/h7C6mcMcSTUDETt9w08Pgrzt2UEO3La+Qo8wRHWdtKP8HFbsnxYdyVmR4tYFKFlbao9niNNLkz/pp45tWQdaWQouVmDNNmYUz5Dqh43BDKZrDXDP41nG5qI9sH6W+efU1bmfzCf4fAm+4/n07riBMuu6yuudjrrEWW+zugpU37dhs4fx/XG9dTmyARusYySDJ9MgU9Q0ApnglX1hjWvGqwJiKNX0d4Pl2fb/1u1TgURu8f7jSPDq9nzB5Sd05wWS1UntKluDfmlshMkWIRqve3VecMMPpdy3JXiNdpnH5/no8sebW5c1ICplEN3eZi+fag7aGmyHXUM1qAEznnICzLCB9O8p52UCpYzALD5GyvmbMX9pfLg76k7JcA8tjlv+iVhevs/ZZ2b8yhT7Me/34pnsOKHX6bo62qrYhZXN4vRyRbMPdBtpSg5Nb1BsQcLOdF6Ws5FFr9uq7xwJXllnZyzFxzCJT5EqfpLObpQ2+srNOcyT0R1/9tZuVGPDz7JtyEuUdnouzgQvq4ECkpAoSZuhs1a/VmQlxtMPyaRjQw/+ZiJ8J5OEiSrbL3+rmhhSjIvNljS+V+FgKsFJaA2W/NU9k7rM2HOtBknwgxhZvYMW0xj11IAw2AwrIMQgVHdiB04GcSwHOD8nkwjt3XLxYF4T767xqls40r7gCbLhOEXwAMQDwJ2DT/vxvepUr5b9IWAecN+wRfhUotfogiI8bsFXT8GyeL/Vj13tC2PINt4neDVrUFWNHm//bhK8emvruAyNIyzbBAnNBM7vZvxDy4+Uh8LoAf3RFS/m0UoocMr9KZUGK7AudUiqofnUnRgbER7j7jbuQy3zxnHr+2GLqLLgwLkxgUnxE2v7uznIX/TAcS+7UXRrEM5GFBer9ymA0sAfbXrA3wtvyoyEmMcJdM0OjrvZ/dStzeL8rXrNdw02bvfiga0afD5GtNejX4KPHGNv5fWVjUI9t+eJUEBUr9Gh35o2ieDztU2b7OzGwn7o9imYRG/ZyhKiuTfAdlUw1KjogWnBRZ/YW2dnFbew8RPZv/VNUHLFcCJ0dFyN/ENSU/szO8di/2zuHOk9nedq/Fr3Cr6QGaCFbHJccaCMMa8PhuAU9Tuv0cSanBIeyHuVsZAuVtOCOO652jjrMaPPxnMGO5nAKM4qyCpJGSO9uO0HzsMBUIMhHLaJ++LCOuZejALuxUTC/AU74HPSTlFMgo2frATt6cIYbGQbxTp03gBzK/WyGUjbFrpN7U6GeF5T7kWyCN80u6TNIVfdoqDh/Rwby7LMqnskON6dUj3Foz4Pm9kHMYlPBhJEQPXzAwhZO6MjyxSZ6x9u7nXRjImQgQidWXjI37PbVPRleTisH0oejoE6NdAmUPDkpKyKBM0GVVxEnBh0t/hbQSfBaQ7cngw4BFhHL+0ba/WnOncf9XrueViXyMNjL4pOgJg9uNWNw+YBeZbGjxzfn/uqiwhYRE0IkIZo3anfaxxV252ljl8vjL7dqR7jvTQ+o0UPbhnn2SnM+ArQWjBWyULyZaggXZ6KxeG3MzTjJEvyijmOCNcP3D4ZSKiZSDPn6KOkbAiIaq72VgYHYerTOcvlAxsbgUcHLHHrKcR0DYejgcFVPZvIwW4xUHru7j3tgPzbuJ3tWQNwSKy6jucdae0qaY2sD9vpRaCdAfvqQYcubxy0NSLcRpAQAaP5Lh9nWl2+ts1B3nkKJ4OYzz0U92IR9+Obck8D7sESDG2HCNAFcD7WxIPDzuBnmXdeVN5XTFXnFJnbwXlqnmYL1V8jYFx8x9BlztDrHvqCM63ypViQ7PlRwuX1K+oaH/3447ZPARIT+SvPAqo6Gm/QaxBkG45qY2CRs2U9etAn25DtgmtasEEbeEcorKUe6GZpgdYANuvqVyOrITnAzJAJGIO6gx2z5ilk56t1K0sliWYDuKkYY2WqxMoeyN1BGH1aq3hTFbmpAHl3Jg0ofolRfzJuVguY3uNbOt0AgKAkP9QJw6FCHAbLeRO7A4H2zjq0o/UFHFtqBaLUixD6L0BzTJasoVQo+xHtLLWquMV4JbFGyvMbuAioUy1ldC/VggYRgrQ3gJZJ2Opt4BHZF9SW1SfPhC+uMgKvmuD91Q+YoIjx3Q/dPonhMjfZA3gENVJHNRTHAEZoNcgi5poGOQZ3N7ZlA8Awgqvyfinc9nHNMelrBVUNLPe+b0kHja6tZC1ePvbQfmgxLRmjpJ0tvn2H2/V+DEAZBXMQjNyUuzQH3p97ZQuYKsL99/wre13H34jxe/HO5P+V58D4q7Kjoup90YFHHBZlO4nzErGDUwL3kfn7snWN9tbk4P39i8JCulmBq9SF6ked4JUcN6cWLNWB16Qxs4VW93kmfN1cLtOwa7X/GHDQ9imYhLbSgQ0VCp1MmjHsmM7KNtDoYgOwIwODOnqTrqcQMcOQfKhMZDfP+xt/x4HrClJ5AEYMt+6QNRjcOKMzyy7AnihDVDIHIK7uy9CxWAcHY7GNIgNUNbalv0zPlA8LrT9qZBu2PBevMbQ+teM0YgLZIWMfhpJaq3N4APYe2YuHGjPq/UA/vUdWrgGwlTM5Yq33wDQBxylxDcAiuJTblCyDzAIqY6BxEwi6SQt07wFTaitj/QcQq9ujQZd1PpmDKKr2Fgwe28SvaGzmZ8emAGJZ9i9Dpn/D0laWLs+sX8OuEO6eSd2gGVnDNtkLf0fG4ypZo6MZ4Q/cPgWT0HZGL5Iv8FwO5Om4jO7P0ZjqdjiPSmdsvA3IjbYQmHNj5rJ0zT5aoBFgBBCYEoT3N96dQFcAoc4XN4oLnD55YFji5zkNIvTAt3kPDSBa/gEOrFsMAvCCNdzUgmPwsvNRRdBekZP1+XbPGHYGqRb1DvMZ3v0BxYRkt3jBoiqQzcXgrOt9diZec6/fw6U5b18Xk6WIShiOvamBBnWc/bD6DemHvHK9NrN4MDjXUMa6bJXlPpAJXmJKZR1ix9LP6X53l3G/5A/fvpNJmNnfAvgHAH8A8EsAv4uIP32P6/4pIv7Lv+ZhzMbEzkJRtoWDjKKAvr/PiqUFQg2JtlFIfDsoBGwirQ8/c3bsns8hzg4KgpfWdygmgcwTUGcf7KA0lGl4DCA8yj2aTEMfogZssoyoAC55Q8Sagm7MZB+0abjl6mJzvU1swFa5PqdbtCo9GkDbC0IGoKCrlx4RdVqrepXUfKXKHAxiujvdE/gWA6N07GIHzSSi6pmuULELujFjDXAQ+I0Q8w6w6voXYCtpzBSIpY5T105Gke2Rrs1+vRYwadtyu9KlicCDj/FgW3oE4JygwDrmxLCx2EsX+129SnfBryZ43Rz/P2j7PkzinyLitxHxewD/DOA333WBmf0SwK//1U+jMTnA/l0si8YQNirgadgiRkwmrEKuN9tZ4dgqkzd0k32D97o1NOp4MAYIvfXSoE2B5ybl1fOr0+qc3KBOCekxaHKUwJIa0tIeI5jKUPTe5jFaEtcg+hZp7vM+57l77MJXmQCsBvXXy6ks6lmi3q/tC1KMQs+r5o9gvU0Gkcyu6ph71XyXGV1t9qshCNr12Jy1yhdjYJl5rlgqm6l+gL1SEp9lLwkmiyrbc4IC8n1k79W5lBHbWA+qj0CFY582iZ+ASZBF1BYRfzSzfwTwXQzhbwF8J9v4PpsEWB7oOXjAil4c8AuBp8m70T1CtoleO1L9v5nI7LvZX41sAciOVvGd3WlfdHiNFdz2VoO8WGr5yjNoB3RGkK84GABlDeWyT7jBdlrzLWfXYcfwAkIwss/WewZx2ChkfGMcQq2tkTXN+k6vU0a9ouj3McVf1ccLQPDV9XVjEAUoK88ZmYT2WBmWHYtsYnnZHiqgag2Q4flkH6fH43B/FnM4mUWM4Km8Lo42stozJNujXwfqU7RJWH63bGN5xvPkHniwnJK3DIHlwAMsh41F4bZYwT7C9ntN0+YMDKWaHRIfsX0Xk/glXgz2O3jcvvuHiPjnf/sjxfnxULFEucgEWLmiZ4BkDw1BYgy2GbHWgVW4fa8fLPYwQ7cpnWoau5HgNT0SYhJZlnecdofxV9RYwKGy45qdIkm9om0PNvfZaw9mAStKn/e70/2vSfjXfxUlOeMV3rGKg2+rMwAj1uTeZ6tp3c5zgwm1PWOADg2L6h4b3Qad3aUf1S7L1Dw0A7TPhyEwqv0mZpa0lh3CCoz1rQG38GwyHBpGcpKkTU9FB8hK1Uu50UwKiLJfAMYwF5ZFMwnw818iwetvXpz7FwC/eFWY4PHHf+1DnMaWIZ2M1VVMohsnG6pHmJl3RZ53qRZPu8VG2CPLmdGobsUq5KcubJYU0U/J3oCTHTRrsPIWJBu4lalHvgUq8Rosy8AoSURYTxdPJqT7xkomEayrgCfDsOyIyRaQPX0tVNzE5lwc37LAcNMdK5YhAHgnn16Cwx1AcLAIhVrXwF8EumOf9XEwCdkoxncYiVzFHBY60cvIzOwGzPobgK3P2dZRqTAVmu2DKfCzcy0NJzvwhUroMg76LhciP2QHKfQqK546Rf6sYoRSMEkgOtvFYPAxWdFfS4LXLyPiD99VyMx+bWb/y8z+1//7/131Mu9wL+5+4TGjT+mYMm72Op9GiZINNFxUJuDJuPnya3PIVsNCswFNu8b4s/wr+wPLFrvAkETqiPXy3A/7w/a+JiwyQGgwlMPoxoFXNogj+Mje7ct9aMARs2DeBsSDZfj5N8/dy2mv7bjW+t76rMCoGhEamFNd0HuiB/+9rw91QMc1wFXTMa5TDsxxj/57d/tqTj1jdHkVKB04UF1RVTu+yy6Sx1veC8S4XEIwygMGyB4hlmKQnaLsDxPc+bJ/qQSvV6zhb/BaBfl7AL//Pj8aEb8D8DsA+Lv/9B+P8SOpaPLLQzWnGYWbermCThgbAenNo3EagCYQZWd0NmgDD70WHhmPYIFaCcyB2OeAqmQaDeTde2NnF5PQ+FT8A7ZVZ+8JY1KH7qjQfJaoWAaDrUhGxAhMU1DH3qm8FtX1BKKLnXaLDTAwoNb+pDGkoodm5xv7r23s1GI6eY77w9WKG2DkqMtIRIpWG/uhapxMAsUeFFvRKhRYDu3hqO/RfxrwxRi4X+NYxmRrBqLPQFZj42Wqs0tCxtG5QjaTs0YEsKULvieNMT6mhFjeYxGxDkEnJmFArQGjcaM+iY9jEt8FEn/AC5UjIr6mUvzjMGb9wsx+DeD331I+71f7lgLpj54SfLyw0JqIbhbHpCRCZoRMjQpWoXGOwSvNBITMGzWHQvV3AgXRSXRx2hLeNQUHjoRAlcf47KBbUx4OwtgeUhSRgEOAqIQln8oKJZnTdeuDtWwOHlXrzgdISSfDJUhnRuZczLdqNeNbt3d2A2uWcQux1q2nezLuwCB1S4yp6ruPGVt7sLYE2snA7GirZmz9Oa+N0vdnYK0+yo6lPlB1JZCkwTi7JcFlsF2xzGx//hbjcqpvqQ9WdU9LG9tEKqO6eYm9ZnQfHZb9rSBBb0Yd0+bw32/H/xIRf6KLdJb9JzKG79wMGmxWL1guq+KUzSQQdhN6w52JNEQaFmBX7ou8pS6ejbfh4bwGhfQ6BjbcDXgmUKi+6wndOmLyQo+p0flMn2nH0LGqNBywqwfLRvR8sH4bq4ctREDBMmIvnEgmYy52sY/6LVb0GelpZCGrJp957R/8tga0F3sBxgCNAQothm8AMW0OAorpnp12h2FHKBWlBr113QsUBti8A6tZVuoeUMboerV65RQsTmQv9ZRgUkwiMubCItO+EVGAo2Htw0je9wE657UTF6fXTuOme6Xz/7uX44dt3ycs+1dm9l/BYKpbgNRvAPxPUHUAADP7BRgjYWa/QcZZfC8mobe2eY6Vp9fOvp2ULWncMT4rmMqQsw1vbCxjWbMRTAWg9uoEG24rBbAb9pXGqavCqUdHR0ABUiFpvfJ45gSIOWjQG+2HcKTRkfvsMVSnQJ2V50w4p2uD1+q+mADkGUwFJ7tyTt2OBIENmO8M8jWyEJMI5L6CrPSA/T7vth41fYJ1FAyXlqCJCrWeAKGyVtfAgFh2O2+Q+7dUDHaIUkMW7zXVhgkIrwBjqhwQIPH9XfYtvpZUDk4UpNmzXQFYAAUU+5SC/1RGQgAyXO4ydkqVUF+fe3UnF2MZLM/Y2XoWsY8DB23fCRIc4L/l4e9v3/3qRfk/sfxv7999bStQGAJMCNoMYzAJfurcfPn3NxaCRswxsrBhtuA0bnpMFWRjcQRn2Dd/JxqzMz5/0T5Aou/eDOIu8S9gG5kJ7RJHLITqimMFPK/OuA0ZWqAxvlFZpJpnZhuSMSCl1abKkSBlWQfdu3rBh4U0YEo982QWAoXEPz7hWnhpkxCYzGPu4zjuZzwZhRUzkOEV7k3/C0Ra8k/DZiXPeUt9qVWhR34BCIf7WW01VQsHyggqFZQDOPtnlHwwHQMdwi3wUBk3MgcAkXaGiJFIqIxhqB/ljbXuhpiEutcMlCoGEUk7o655jeU/ZPtUCV7FJKoPprSrQJ4uggIMSXgk0gYCywxXzBWQUIOk1wJNw8/DgOe4ZrETLkeFZxtRPzO3skPuK2Ccw8CYeAUOUtF8xkq16jH2Yh1YqbakdiT3pnUZJXrp3RlhDTMyhsEkFEdFo29sK3tNjvvNDr6TukNMQp3cbhGF0pNVb939DvZ316N0zpmWRKCI4fcL7tuDQXVCgVFLrkwymWG4LEaxtGfZR9dtGzn1PCg2sFUGKFfpMVj1twjGy7L96T0xJnhpTQ3GgZUtdYHncOHhqeZKlX2kDpJMQt95hl67I4OoDLSbqV9njc9Er2IdvK9sEhMgPgowPhdIDFSXWjHPCSKMqGu2ge3U6dq+EExtNGwsC2AnrXNcyHgKhmJbNv4yh9uFhwPPzWSmSwurGCldNi4kV6wfqaSf1AZmjabtoJnEQXtpd0AA2wHb6fr0aOorFlDSTwLTEigsgO0ZYKNOXolDG8l8wooWVxzFEpNINK5Iz7Lm6d2sKF6T39HxDH2kk1IFAGgi2/p+GiUHi6g966djGazqduu7+QeyCgQquU2vYP1M96C1d3u9ssoBmOH1og5lESi8ZLwJGakpvJ9xKpn8KhGWbvcdma+RBtI0NMuIWVMMFoOIUjDU74rfdvPVs71nEh8DE58CJA5/9B0UxjlDVJslK5huoGYZC4ZvMBK+jAOJNgn3gG96OdTHeXF2AgKRXJlW/RvyT5qMfhgd0kMPkCc9mlFMSQU05dVvLhsshJ2FwBPD1lHNHkgadLF7DHWlVBe5WZVWvslUdho+5d1QUps2qVoVCEY7RXkWJmvQ+7MS8yurd0wm4XV85Jj4VDdYT7JbTEZBO0SxA9kdxpTTxRrczkCqYdw8DJzz2INqWNRxZrC2x8cUWOWTSSi2JprYVIAV2YBHJXiZRTILHxoVhcWK0UeQxkwn6ygDZ2wsl7sTR11Ppg389IbLH307AmCAEUAixUKT0WWvdaKw9EQVz3EayQ6QyJ5BU5uVvaH1N9So30AJXsrIT3/3E3sYhZDMgDYJxTOAtF4CNZAdzC/rsh45KCeLGLNWAeMc7Q1H3oauEauirSI9ouxwkTM0gZ4NAyqnA9uY47FzL6YyQocrMpRNoCjOZkvdFnVozSzqPmURvn/Oazaf7XR3Yngr/GAMkGpQzIGJXZWTQXen5O74zRkPcfdwHAxCgVlSsYTawz2uWcyAKKJkugZB7YxTExTJFAi3UbyqUTYkA8I2LHaBtvF9NtCrfrGiy0Au4DbOazkMX8lEOozqI8DiU4CEHa+FtnHpBCVriSzt2AAu4yXk7TiuhgUZBM9ln8kGVl9ibE/aI5n2LQkRlBrXdGOODgsH7AKltaX0C6Qu+0SpAqK0xQTartplVkr6Asx6DcO0xVr3guzo22CWVruQyhMCqRyAYAfN4+jj6A6PIHMRzalmaeoqotIDTYNzDNaq6Bztu6Q31QLZF2DNAKTYi0HMa2ofbZtYCdhYCUDFIm5MooDC0euDas974tFtmUIgUrwzMlbsAMUE0u6wHHgsMglPxlFrbMDaTmFgcFSqwA+TQGK/Q7ORxX656toUXAstlLR3G9aIwsifM5PQ8dE3rU+OjiqXkYKjOhR21z7rv1PKDRcWl2FNUKG3gw32QOAJuaM2ND+iW+QKz55GQKP0A1e1LqMkcOiyYgXORW2kuhz2Cb5ieS9GCHDaKtBGtahxXzVhhgpoLDUBKGt/sY7OO247SbLmWvEaYG5IVbMVU1PwlvWjUPpWL8/NvL6vWab0nmV7GHupD1UvZGkVqk7GQEFSZR3NJPQb9G+rpwSaPdzjJIqssr3u+UM2frNXaWt3JeafqgG9kGQG3Y0kwUDXbYh9RCV4FVt4dX9W6LYUPruYRKqJlTbP4DzZNvgm+KHbpwCJ90yCkZKs/NaN+4WDHZptVyHWGQvxfmG6Zd3VpQ8uMyzbeJqlLhkJBB6J0HMwK7PaJJUUCZkP08xA7A9ALJr7Rri0fPgthtHxEoYCHQCVIljxGSALWNY2iMAI8TYmbVnbd8LaIBagB4PMAxzomw8SHCzdr+v18puvdDg1goi2bDVkEh1fwkFfzEHf42AQMDAdXGBgiBUHo8iyoYYs1rDv9gj9jaWymknEaZMgk4glm1CM9PD2dCk93D1ZwZIdgn8p+XfbKwAsz3TxuXcDHlCIdtahaniBzEMBVSbBSOZwYxTyePwlwrJ/kq2jLAEgffx1zP9mJCxLZWdk35xRl/dAlpoZ27Li0yahiKahprBBZaMAGwlmnGczR48Yw8CsA1CaWUgK6jsrwYsJOna8GJRO4bd9XqPgHfSCkursEQVmDqtQ9YBVhGVYtOGyK52gi+PcSfDed7jzawFEdtzNDl2qiKE8ECGXaDEKlP3BLFJ1sGhAMdkber8JQJvfQ56kegZ2DevjPeoYGPEQAmD05C1fqYQqpzyhKN9DNXFd00KK7RAEcO6BQJRx9GQ0uusmRS1j8Y1JYLCGIBPZseEfOL3+pwAJMQlWGzSlePHbKRnnVdW+rYOl6hkjecuoC2qOCaItwHO8hr5rl/uUEuIbT6ndrkdWvSKY3Tppy8BApmQiWCTpC9VDa4JbPvtk7MU2GAuhOId2pKSUiLRqFXPQ5DPZZ5I5KBscl2iuQRGcyT6oRpBJ5MI3yBgNnb+1EiKwrZnJ8ZW15Np81mmorEE6GcQAxyCDKICoiMu8txK8sgxYhve5J2aROeR1eW7ru9Xfa0UvFINgZ1hsnOHRkFfDF1nDyklnFhlFrra1e4IZtpnXMW0YtEksu5gQlvYJfS5nT9ZKqp+8l1GvEZPQF0bwUIKXm6wUP0Mm0SeExDhpOc4KRHkfZFVuSS9PhdjIZeEAACAASURBVGIlrthlezCPzKIsxtE2CjevbL4dGdySdDlzOXI27sDlBBOK+opLoNEz9PBlG8gGrqjLfPQKyz4CrryqINUCjzZuVllJWXAGbb559DWxLTu8ROhQK1S/QT2kFlUmc2sP02wYAl3JxrpJqxhmbBsDPBkFBkDkLckGVB/l7UCpKG3oRNkhWB2Q3aJmxp7GSe0xjq331Z10bsw8le8TxUDA36q5RqwZZ73OPMd7OI+Vv5H9IPv5CCbFjObMn5I9rCMiZlxEZUWrXexozv7ug7dPARLvNtKrGPChNhvwkUwhrLk4mN05w7EB5MLuC8a9wrI1weiie9TJyZ1ZW87BmNLA8bzYqIYEDEnxK057Aqm/uSGuaNCYKDcG/SZN3sS9rfwPbjQlVOc1tKHLdkqMmquWhlVcYM5HDkSTfSOs08wHU8uxLio9AqfqumK3xz5ZjrdhEJRgsjUMdWMDZcwMXVMDOq+czEGsQXYgDfrNSNfD03EDgyMewsafqOMo339RNococKAwmTYJ0MAM5V5sCpZkEjmJbbo8XR64vbFWwIJueVycdpGGxmBKuWWflE1N3SDbn/29pGeDRo4UpY59jJqh7XOBhN65WIPDbfP1U5fLcZVqRK2sBDsqdgVwoRO8nMEFTqNme0NGRp4DtjcevnDtwKIa4exYKp+zElHfd8tgJkVbLkpvAcTcL6pUobKtVlS2MNCZwEoqs3w/eSJkHZfKUB4EjwQGa/WnFvAKSmtdxxiPGHU9PKC5FzoLndg0AgwJsymdxSDmiudApGGR99I1Gm0hb4ZUzArHRjMFCCQ0QnvAH0yCU2mWkXL1d+3rpkdkGCmBPsatfJim3xRobKyVc1suDWgCTDEIlnUo0jdVDmM/Y+wrwHkjzMe1jOFJhmIEHEFAPlOqx1qUmfviHR/r/gQ+G0ioMxaNavebvpzMIsIqyCUB/4KLURjogkqVYFnk97YYH39hgeHYZnhGhmcbLiyzupey+twWlu/S+WsxHDOESeUwaG2ODLNtYAguqrPJfqbbU7EwW/s2NxxJYZJkGvxmySCKUayAXZatehl8ofJPEEiACgJeNJMIqSvl8WjSWvU7pNb8OJ0sNsBBhkOQMZiLdRg0d08mahEsxqCUPcHEBsQovJO7dE25NUfZ+Z3uuQUQN7aBAGeaBRRizc4E0H1eagIHsFbh6hRyhWPnqlzOnIxVeRsBLWgdsfHQvQOF/OZSNVD8WevdTq4gkG/m0AxCX/9MmYR68bErhjAn95RA1Gen+EuJ62xASnM00ivpyWlDMOrtKwxXpDt0R0qHZwQeC9jXhtuDg3bD7JEN7WDDDgty3iQfLNqDYME9XIGfKOMsBwsuvu9kFBokG7AHRqg1YG85OqM6GWn8WIc0E7uy7MlCxh9QrtwdyWqKURg6CrMs7Nb1P/pggboJLIKp6AQEAkQQFGpK/GPA2rBRII2NEHhYJVvdg6Nqj5NBTCYhg/Me50wu0EUGUUZLsjvLvTkyI9dmQlcyhYelYfKNrGIZ8HBUoFUyiDx2N7hvPDx/t86DzINtKK8coEm69jncDRRSzj5Ou1y5PSVUDbdm+jdvnwQk4ti9O6+N4tWO7zlXRDTv0FJoIDJPJgFzJvSxgSIXYDVcubLcNjzc8dwZJ//cVyZ87QX3jWsnM3FzwK4MJVacg6auZzg2CBAacWWbcDRdQHZuE5+M9PXbJcmL7BgcyC7jZS35B/hmUjGFvFiBL3SmqITk5mAPAqcrrxA1Y395XsjQJqYUiHGfcWI2jvNF5JWBdRnZF8oG4wJE2SnSmNmuzrZJlCHzBYtIVQbFIja6bKoqfHoXu0E9m/6MDEIp4rY2+w/VhDImymiZbGCRdSzbMN8oO0VsuCeSJ5OjW78YRT6TebDtdwdKoeu/hrm6S6BTAsgkymCt98UcIz8cJj4FSMxgquiTLaLQleaWdD33HOxRXqxsUEoxZ8hxu0HBdPCoxbSkPy6LYhI70lAZVx4HAPd0Ky52OK3gXWt1XtaDf41juR45CE6bBPmSKG8HizazUBurE7SNNqXHRmeCbuQIP9iBmEQw2jKZT7IaK1YmYEg3aE/jHqBNRUAwmFwOuHaHKsa1GUVej6VXIwgsxrq6BmuOgPJy8JoAikEcbEFdYzKG+748I9FeEgfwEIPgtY7sPAzBVvIWbLg7yRzWYsKWJ5t4eKoYD7kygZNBQIxh4+EZVp2sQyyE/dfbQ7IkvLArRDtDsuVN4bA3tQuTDQa4iIN/1PYpQOKItgTGUn/zdYO2udT7bY8MjXJhpg6YBqHMZTBsgJLfOeFHppZnGVgaR82CRs2cycpwJUXcF7Sk4LKogJ+0CVz5G4Y0WgYZRZBJVEwEkd8mswDmMn7h/T7SIo6wbAGI5qGQgOHIlmpgkUCpzFipKSY2Q2AoD0VQYYrBIBSvUUbLtv3IfVlPWr1Wz0M2JysbIns35CZtlnCoG8UW+BvyeowyMa+ZxsvJMsQW2GfOstHsAbJPNL3H3IthUMUo9zkUu5B/i7XSa7kUVFZl1lR3ZAuGwDb1VTU4bvEn0f+in6urflDP8dJBVtSX/AyZBCAJhHrxajNVDg1/+t41MAC4Gb0bUikoyOkZWbiwzDlTcXpCnmbJLqyBwGWjcGDvjYcbVRB2C3JcUXIw09NC9NYQDzDRiseSyBbJNDaAx2h4DoLy0VON6RRydJzEbZyqryjrExr0lciFrLcBBFmdhGAK0CCrETAngCism0ZIGWThxY7KY1FMQuHlxj5sZB3e7MOAWkxI7zxtDi9AICZ43JnEZAzyYugeFSA1mIQzIItMwoxsgozBFEDFpK3HigqWWh54rFQp3opddJi2AqoeZA5vrsSuDKJ6sxjJW+nBcFd/3RWWXdU6xkDuLd2hLVaqGn/2TAJoOnuWQWlaCi2ujUwiU8iVIs6IzJoMxMk2lL/RqeOP2NgjiEq5/Jlhl8zisjxX63hYej6c1nvYTmOSBeJJNwW8bRMAU8abUQSQng6+YXYAK8FghswulSoigGB9+JB8BVCGTubinwAAUjvCEItelijBmmXR95FYk628bad5pqZZC6kLaIZD9ArIDUxmgjj3AxinWjGZRNkdrL+TwXKXFBiMwaLKKgkMk0n4YBHK8lQPs/kH1AoYYhIs29G7MY7HNWQOzTxY9xrJDN5TJLH5JvHJe3SwdzMJElK2zYwi8ho3/64SvBSWfTJAQYUxUIVUMFIXfNKjkX3BsOxChOGJKGGsRlux8XDHtTcuM6zYuMyhoKqVIwpPB2yn/ikKiB1UiXgu1IAZJ2ErdQWzQFyty3d7dWdJ8ECOTGaLjtGYZaRyzEl2FYQVaK+JwMDnOY0WEAQInmEjADPZUC49R9CS4XdwCrUACBBiEuXDVbliFJNZoJnD2KtOyrW5ZlmcasQ4N9lGfVcei8EgVJbxEMU6HqwsT3sTBmswsgp5MdZinyGTePhmotaFN488Nnk40kbxxrlM1txbls0UgJza7g1gGVTZWsMDWptjMohmEqaKqnFDDlGejo9hE58CJE4mQbgUis7z9X8PMt9tFBOiAwEHbQm2y1XqnIzGIwcwNpEec6LcBSdr2GyktDWKfagR0+AQnCQXQFN7SavycvC1LDo4wmMkWlllgkJvTHfmTPCSS1QVIUZRqoiAQNcAbcsoJoGKqZIdQwwCUiNKl7PB6u4dTsDOdjJC/bRRWLfTZAI1PZ+pXr5lL4MlB0qxlTJMYqgiUdcdx8MWIUMm5n4wh/l52iI0aMtliZLfHLQH1wWQqkSWG6yDdi8xWrMry4hRmMrOHp/fiR2UfDrGiCQOQf+DAAL4JCBxMgm5jNqNM1/3qABVigYAJGRolMSGRYZjp4dDkZnZWA8LXHEhzHDtK+0ZdiGQcRMBy/gJGJY5bRSBfW1+vxG2sE1JYfUA2Fpb3oyLZvG5I86p6saAUJxEMQ+GVm/uAw0UZXgcHhFgXKNjNJgcbAMY9okZKkXmIxUpxvMMDDzKyoWJwZrQxEiAVq5J7QeTmO7Jgy2gGcE0WmovxmDjuhl63XtScKkXVfdiFG2DUGSlUx1JFsC/CpTK44dlYJ72Stx62JXloX2HcD90HgKgC1YBWXfRmJ8VbHofD8BgDPZxsRFz+xQgUZWi3heAiV9DuEx0hvWAM7ax5bFXqHX661dYhXArWlEreS1EzY59xYb7wtoZdRlIMIjY8J2qx+U7f3sDa+Vkeo5cDGeF49oZMLMBhkvrnawDrWT5V+wC7QzSv1UbGVpN2l4Gxt7rtgCvJ+Mv9UTHgTNZ7MU+VGZ+FeNY9zye8MV+DPjSm4fkV1zCZMgFEl9jEC2um328MGTGMFLCXzAI73LHXJWGMlgay4pFyHD54PwPcn26baodnbk5szkTDDb7WHvTiomwDjR79kKzjXysDvfWxDcO5XbIzqZKbBeolg3Ov4+FiU8BErXNATDCA/Xijpw5ahIxAwOiaNUROqcHLtUHiwsWKxsQmYRzxYUFw5OGSY8Ly7ln1TtyUpoNwxtVi4rM9MzbhxsiMlw7mCl6wZDzFoox9D52dKq4pnJj3ke9lADiitLRW8JnmT3YE4A0cNKbYryngEjHZcwao9uASg6DGApOBnH3pgiIbO6nmCPwTQAqsPIRyj3UjoNdjGsUwl1lZbNgElblcxhS92TCV40jl+Ey2QJHIqa6UQwCKE+GPBU+J4+xoXICI727mUZdUwBxUe3Y1f+yj17o5R3EwbTEXyd2KSy8WYI8F5IE4Cg47Uc/O3Wjel9RWhom4YjYuIYcy+wKOR95bfkAVYYTbzDF62GOi5J/sZFyAueNtTPsexkQzN+46Pq8Nt1UCGx6MrZtuAKt3IByi6bR4NrDW6m5KmVj2ZEzXBMEilEYMttSc0vaLMNBojyRYaQ8Eie8HuGcs0KDU/eeNgobZbPiChDKqBldfDbVZBcHQIy+q+SsySSg39F1k0EAlUdxJHaNZyuVARjzYEa7RBEn2JTLczIHpHGZ+zm7dbMGMJgKFUJd81OWoVKZnygAkTtz0f61xD7snK1qIWerKtUGUik6YayEIBSuTUAUgzDtW4hkNQ9a9wHbJwGJ7oltnzhfWT0zoGzPIUUR5a70EPkCND+ExYUHHE9cWalxYYXjActBHwYzGTqTUTyvTPR6Wqb0XrbSXmELO565B+Du2JGh27nSllcHtQjAN2fY3sMWYRUSXfEKw/goSRA7YA9DPDX46U5UwpeAQIN5ZJaqzCZoVZVK+qu+H2QS6PNKAXnligYGg9AtrfFKg71iXcRE9KzW7OCYKWqARV0z9lt2CLo336kla1zvBFguqANXDARQNghQ7YCk+e5szoMNpNR3RlcuE1PdAAEB2JykVi5PlLqQLnlA8ajAxoPXai4TtYtifc7o46RmlTxH5Jci0uOieUXUfXr0/JDtU4CEgKFm2BmvOfpNNYA6m5wFitAUEctpFEgJI9f3TP0v7Q/LmQi2ec4CD/7ewwDExuZIe3PDM4AHrRtzrgrQFgG33K/A3ima987GzXkTAltZTguohXE2gLd8AaOUDwGlKb4gYG/oMOpNP/hWuLUVUODGHHR+j+8LjzXIR1mgVY1dB7zvUD+0xGiwTHlZbyyjgMLPa4oR2PuyxWpWXjMnvD0AB3ukoDdbAI8TlPNl0uaAUkc0s1SGXtP75ZqHUtI/mKy1ORt2hlbn+fz7QqPmm/YIBk9d3Oc1D7sYhh34UsZL1AzYzUiklvA8FKaN/qMXKSd0RoGHFgnW7FQ/OyZRyBn3sKoqQJRMhEhXEvtYC5bS7YyMwqgcZ06+4ck0cN/JKJJ95MIpG09sPFLtMIPbEw9/4Nro6WrsQpiz0zuCCWMZodmqiF1MKTbLjhnpit1sQCXoJMJ5Gx25z2Sx1jMDzTo0VZ2CtHIdVCtPhwZcDfA9JP0roGhB9s44CuvvEQ0QBhxBXVMF0XXAyRQshn3hpIHpYp7XVMPaOXOU8mZMf3Hcr0DGJXn5grRfuGclKT8jZxmnodJE/ckUDnvErkHfExRtAFdPMmMb7hdc09IVC6HXAhcWNnYkUIQkgvP31K8N7MU9EqIai0K04ohauJZYLVaCruAfuH0KkDiZxAugYAfY7MUxemil2SqQivrexYrPRLCJyEziQnolAhlHv0MT1QTCNt44S1V6Ozbe3KGJZ7ADm417xcYOK+v43r03yzU8ciBZTW9XCnpnUdXENTWd3ZaIjtODoSAHMo/8vCs/BNEMAy8YBX+5Bn8xiAEQ1a00sAUU6J8m/pSKoe+ABpAJBHt8N1WLamuxAxpzky1Es4TDZdo2iINJjL2Mk8fMUvRsmKHSvyuE2oNzVrbxMW0PYhBXMwaefxOjqAAqBlRxDdAHrmQbuJgEtjMcGyobeBSYKJR7sAjWn5tGCcqrVd69cnOhmERz6o/ZPgVI3JnEO5iIfm2BAQLnHjJYZvdND0V6PjLWIRO8jDaKBcfD0pyZ+RtO1YO2DbuwADzsmU1G8NGcBkWft0Nr2sbTeI77sFRFwuG+UwWZ7k4DV/RGi4AN9YoWsbqnpEYAWnHKyCAAFGgkIERHT6LPa5RLNZjejAr0VJ2yzAQFzM+6z2wqAoRiJKReGFWHugHQOS4vGEFPZycmEV13YhVEu468VAwE62YAxPs4CBolhw1C08mlYbvjImRw1Czr6h+ZKHjx/AV52oz2KC3TUNey8g10aZI5aCmHI+AnBwTtP1mTNbsYWVKMRkyZETLHVLv/TG0STbFHgaFSWKkVgNHukI29EXWcmdrRtio2yIq0OwR2AgXDsR8cIpuTfASNQw8PVLDAjuy0O4C14TvVCFguNBxkG+Zp+wCcs1hHz0EZ6bbb2xBbbgAOKKoZYgkFBpoSbzNPgtfUqOXM11lG16lDodyhm9TBYtZzVvBkFHOrziawaMJyahka3BjnDZC+s4EyQhaD8P4FRZse8RB4ARCyUfCzGRgYlQDhk0HQYwFnEBR/3yyTtTLkepfLc7o+lydjcJt7Sn+/8PCNL34Vs3izZA5vnsFSD09QeHgGTT3o3XgoPJvPmOAkewPatQolgHFVL8tZWjNWgiNBL8Q6z6xmOUl/xkxiHo8ClFgCCGOlaAakHEgO4KJyv2LjCU4/F175GjDDFYYFxzMumBkWLvo96J1AN55sjGmTSDtECN3Z4zsMGBzcTtsGk772lZaxSHkCAlYa17yAQIOrfPhhGQ3J0O7g6DKKb6Wda6asPMdBy4loTLYP1SP0I3PPlxzHmqdy2iTy2VBIEKQgW1SBkZfZXnyeASbJrjoDVH8FPjqWoUnX6MEa8SGbgpiEAcPWMJgE3Zc5nnbNEOU0SmbmJd3i+rPduRZ2QdmaPW2+luIbiV3QOrPt5ViWsRCVkwEZ4pk0JgoHeksC9IgAFebexKHih4IUkphfKoeYRLUTfqZMIgaTqGFT79m+Y4FFClTLCaEifcpOTrEiA6GWbQ7cpHnLNtLOYADLvOWQQuAJ2ANvBCXNcvVlbTx3z2xltuA7AQh0nxnUIQM7HEavh5lj78w0vXYmnZkZtjuCx1qQR4voSCxrZXHEAAWCSiXB0Q6RLIEAtoCy70w7BjShjKiDACRK7Wj1py+9Md1uE5U16Af6ljx3LooDAsF5rq5RpOqwSeSxwIEDCQREgQVAj9BQKfQ9kjEAik3YzSRcYLDbu2E5wN9WDuwvvOZLMQoxiNx/sScnldn44s+0XxBQ3uwisFxkEs9kHQrlRhS7EIMAOnNU+N4Zvxz2FFLTJuGk3AKGnyzBy8z+FsA/APgDgF8C+F1E/OkrZX8J4O95+H8A+L+/VnZudyYBTIF1honE6KECEgfwlEohmwUBZSHX8XTGQ4iuGUEhA6wiDZlIF9OKC1sMw7LyPZL6bY4YMYqFVk2WbyrjG9uAb3YyilrdZ0dNd+d1nFPzA+gELpfxMUPDayTJ4zFOYSfwyVB5qCO1H7oAzzWjiKPMjcPViTv5ODaxghifAVRm6AEo6GArfv/ummIVJ0hk1ROpyA4meLiYg2uAJXN028UkzKcdYv4xExMj5JoD2EwDWbka+2AHPZNUMoiHtQEyX28yjmQSqV3FCbp6tVlZB2sbjWBk1CFg4HgI2nh+YnXjnyLi/wQAM/sjgN8A+C/3Qmb2CwB/FxG/5fE/APh/APzn7/swxpDnOj7UixivrVz6iaJJr3MBqIDT9Wncd4KX4WG5yM5CRmLKxRmWxsyAYceFbcCjrMVJ/R6ujM0F21qnscQ+pVfGT4RHzonphmsbfDlwXbC1sK8LttI2kQwqP8OsE65KBYl6hgmZMya65kw8Er7EzJKKGstZzO+m++xkcceenbHOxWB+9uIadXaFE1t6lOzgzqBbk235QtUogIUiEZFuZdZ7510Q+F1qBfcEG0U3LguYPBhUORbtCM79Gh6JZRcniNnliVhodtCJXbomDZoClYrwhT5f3A93KvYNRICa/1pqg/Xh/Mtqstto+NjtW0GCLKK2iPijmf0jXoAEgL8D8N8A/I7HvwfwP8zsF9/FJibq9aB4XyYROTmCZkFXeJMYhYyXYRccjwrPDowQa8hNmsbLQOANGxEXli1sJJMIpDtUtukH1RVYYOMCPI2kAadnJpIKiA1QfdjhcAOee+NtpS3E4b2idDAykjFae8RNbOVxBE6VJPUsUk+pFegYjKI9rE8WMD6i0aAYtfjOYHPW12hSlFpm0UaZuF0rRigGof8VbSkVaKgmIjkmsBgGSsNQYyaTUHyDA8DOekMCgyImDShjpQ/QeFAFeWiuCM/B++ACvgqkWvysmaZy3krNCSGWIeNiUG3o0GwX0yhbRodwK+RaaoX6tdToyg6FAAODZcx/d9Xi/u3HbN/FJH4J4N0AN7O/jYg/znMR8Xsz+9U49bc8/53qRt/kjoaiawkdXR06nxXnITYfZAXJIGpOCR4vZoFk+MvFjNLMiNoIvCHzQh4wXHbhEXQsjIcLAN8g8Ea4cjywLSdBDWOcvQdsJ6t4RsZpPLclQOyNL7HwZ1x4hOMJpPpj9HgsS6/Jw3BdBn8A+5kqjW3k4A8gA7Ryj8h71BwWCtB4GGrG30iXmWbGquCqN8CUpboLBeqalPDcC5xkKJ1BYWltg5AkPRBGQAuqUDttLNXjo6hyNmgC17xG3hHNC1ID7GagdDcAGVIPS4O0ApsSMBjJSDDIFcEBBdMtuwgKc63OqV6g4x0q7oG2B2waOJ94kCksXA0MJWakauTxiij7SgPE1D7aSK/Vw1vvyIa4M7geLx+3fRdI/M2Lc/8C4BevCkfEH8bh/wXgt/+qp9G7jxMm6T2KGLp/Wp1vQ6czliCzODmAyRqAKAaxUZPJ4y0yT+NLGL7BhS+WYJPeExRFR2Rffhpg4XjuC1980VOS4dgWDJ+NDduebIazYLnl3BX/wRx78xqgpuWPSCaxN/B4pOfA33KAhdSKUKwEjqhJ7ChpLYqeoJL0fFfZqHGPHYiVXpBQglScew57SvJZ8WqXIeUDZSxsr0TWsekay8FSKgkY32B9X6tr+NDloUjGMQ2TmXZ94bHGd7IrWHobNGu1VtJ6rByoD6okDyZivYlRICrK8o1zSLyRdZQBk7aKLzQ85vGI0JTKgj1UF6ksKLsFVzSEcj4eAjaTF4+aF2yAt7xkikU+mcVHbj+Kd4P2iV/KlvHi+18D+DUA/O//23iEm5YRiLKu88rqsqCuLdtWsnNZ6KPQOivvqmkiNfelJEig4ypy/8QDD2w8EXhQrQkJ79w8YLHwDXJZwNiZkg5smD8yfwN5gXlK8G8iO/MTBqaYwnwhgklnyIGfsQwZMp6uWstJZyzBxsJrvc9ewcwYrJRsIINuSl8phdYphWquxYhkGzVpxCmlBBR3F5yMsKfVrVNSEzCa6VVseN2E7GCoHF5AsYsdyM6QTKLdmKh7pw2igpKUpCe2cBgm6coEA6Sg7E0xid0DHGmf6EH+5LUdOTknm7ERir20xifX13A8O3SbwJnuU4VrAzmbuxK+msih7D0DjqMZBHDahATNPzWTeMUa/gYvVJDb9hsAv/ralxHxO9B28Xf/6T8eNCGrwEaOgKy4WS3LDFds0q/o/sobGJQVHTRZbjywMsLNspIfjIQLDqRtm6pGMgcgj52T3jzFjt1gcQF7VTzGhQsuJhErF/NZjufWswJXGHMX0hp9beDxQJaJNNZuN+yddooEx8DaaWBNDwjVo7gQ4QRPsYpolrFmwBXdrVB0HjCjpqKAAShLO+95Lic21A/tHzqf19ikNPMaoKMJheqU9gKTYg6MVkQAvui1kXGSwKHPgaiMzEUGpIVypsfCCACaUaqStnjtm2eZh10wC3zxa4CAVIoEk2QSQbdm4MuhkmSIdRk9CTJvBKQHBEBiMHxGetXyOcUuQFBigJWqDsDi2p+rDOoUAGK8+Hgj5neBxB/wQuW42yPmZmb/FcB/i4g/fR+j5bvr0f02j6lCEDWjzm152IqOLQ4GR+ZlbGw8wvENWcNzU2aTaSwLBC6sMrzxWlglGqXh8IHg+hiINQxvySDEOSIC8JXRlr5wbXkkcoJdWUjW2vmdR3o9zBOIPDiDNRcP8gSVHQZfue5nmDEvhEQ9mlEEw7CtKI8h9vCXjgCGLLcbRDD8HFKt3tkgAMSuQJ/W+azAYbIDeYQqGc1OJuFSPdiQCo4qlcUA8zkf5AkUtTCv0Z3tXLeVg7lcmzRAlncDM8Cp53qQxH9ALCFqr5XCVa68F9OLYZtpAJGTF8lKTB1VnCAB9eIsVLSVRHs3JsiKq9UWAWeqrMDSNH9ficqP3b4VJOjNqGN6O/777fhfBAR0e/7zAIa/B/DPP+QB2xgTRWEBwCMH8irhlXR+DQ1a86yskOQBOwFZQxgXb9Xfxhukd+fEULAFjwvmOVHu0zNm4hnAFY4nZ8V6BuC28IyNHenB2Bz8i1L7GYG9PdUIsoyHG67IVPWLUZI7Mp8k6FqsKAAAIABJREFUCBA7rAKudqTI2TQSboZ7BjMCi1FAzGKaGKIBQB9vnonR+E0KjtYYtob5jfW5UkLY423WsYBkqBvTi+HT3YnMoQCok3vnO+R32Z6L5n8xB7GCnrhYrCBqEpgH71HxD2POSjGM8nzQWPnF012pAKk3zmP5Vi5QJXCJQVxlx1i0fzygxC6FXw8Gwb1XX84aT7XIysAN9tHyYohtj1b5KZkEAPyK7OAPSDvDdH/+BsD/BPA7Asb/0Atw+yP+jSDRzFedGOPtsyPZraywtNbXiOxEgJfUAL0eAU2C1OwhQJqnAWWdsBlkFKgrc3IITpMLA/BEkFmkNyW9IJHr8ESyiCcb9CplKN2jFxxmjKdAppVHJCBtqhc7mIS2Mx4khbQAw8p+k3ZKpwe0u0trFnbuZ6nomj2IxL1tvnYsVjDOt6bC70wDXbYFHe8+TzBxxhknQICDH+XtUCyEEqkqIQtyR6YKUh4Mqg6LKmcvjqM4CKkGV+5x1bHiHxQjIQYBxUKY4h9Q9gWtLKdsZO1rvQ2LVvVCIEq70V3FY78PtC0iG8yHEfgnZhJAqRbyUvz+9t2vbuU+7PlSEqkTi8K2XJvSKqMhc9JbmStTBQn0xLmadHQMbqONoY5xBPlJ1uVCvY5nPGH0kTzhcCDX6gjk+qGxcuo7pCcj80M8U9IjyCAyZDuZTM7AvckCrsiVtZNNJEhcZAwXk7J2WK5MXc9mCE5rFaEOBIC/l21j1c9k6IyQ56h5VJZtCJZ2OxlF79+HXCVr2HXNumkjzpiT2hezyJiGyf7EJJZvQu/OaEq1ExI0YGljyt+7YIa0M/D3nOxRrKKYAyeoeeCiZ+KC1sMQK5CBU9d88cz0/IInzKIYxQM9Q/aDQPHFMkP0zRNc3qiqPIbHw8Uk+L7L5MVQesFgDCahx1nXyiaBqsMfa/sUuRtzS3s2LbQzsAeSTuxc6p5iqkMeKlptyGoEpYIxnGohp52TkTPsQQZhCKaJk62XROhnoScDq86DjQo+dy4mjMo4lT0CAC3ZaTPZ8LQzBC0XnnJpkzk8InBhYUUQVGR74FwYkfOAypYgFrCZ8CY7hZgGIJNu1HeVcoxWVU5+8Rom5jVGD0QDBs/J62Ex2oltbQKDdA0LYArAGSBV07yZ7BAJFrXamqeR2TSRMRnLItsQWFRMBD0NXkBwtToyVJRUDZ6lbuQ8DxeZCv8iRpLYpp0hweRhV9ooCBCuqexkkA32BdV0ALBqnawL1W20i199TH7sO0B8tIfj04FERkamB6Pf08ozMTWOtIfJEDmoGMtk5icDe0LxQpsSznJOWnTg1RNSV5L6K313R3SWKFJluCKJpoKlrnCsiGQOyBXKH5Z3v8gYnmF4i53HuLBjFZNI9pDPuWkvidi4whDFOrgHCAyoawxWeSWbOFYGTZxgYNiliohlaEWyZhinjisvUns/b2Xtfdcs28FkEpErwgMoJiH7QraRWEHuH7bruEBCzJBRmg9+t9DeDLN0WQpQMj4i2QYQ+A+8VozhwbLp5lQcBJPBGK/xhWnfb1xLQ+ffKkyb15BJeNkzUMAy08AfBEePqL4m28KC89mleqVNwtF2iWqcGx781C7Qv8g2cwli9NSmxYZy4WFXGQt5E8beaGOwyDQBy8H3MNH03SDC+wdBpADbUjO3QOZ3RP7uVIYkGXLAGS4LXPCcmNcUTZe2CDcBBcr2kOwhZ8iSuiED5oVMUd9ylxYrsAIUeSzEKFQmjrJUodgpJ4NI218Ckuk7AoAyEGUUbuPwrvuhwKLtCWo4uatB6l+6s5gDWYamtW8jtdSFNlYqgtJoZ5gqRXkuBACmiWnlZlSU5fRIoGwNwMzIFECIfcyciwt+u79sXhWgVYAwJqqBDJNZl6kqR79/qO54gNF+NjgYhUJTkB93+1QgMRGQ/bp4gQCzO5/qh/ES0KJYTdWkpjAaglYE6cwX2YmsDCMiEA8gqP+Cwd22IeVEU/o/Y8Mth/6FReniuCwH+DO7eUV3KlX8YmpZWHo6QHXjQhqgrqAKsi0XMuZ02c8ApkFyRzIamNQKAoR1HXTZrrEMz0YBSwLuSBgZ6kTceqG4SKkRL1SQtDs0SCRj6MUQKkCq1ApCv7WdwQkuC1eVTYNlDDZBsOB93J7QvKWlirAPCRSmKzQH7ZUJXmUj6PiIOT2+W+b3KMHLLQggs8yVLAMEJRk02V/ymRpcek6KHu826hm38127NLJTkP0YUZZz+1QgMTd1u4IEUdToVblC6EqWsRCpMlBV2NHxE5KAZUQLq474JO2U4zTiyglnEbX2pmIdJjAZ1+hw5HT9D5eHwzl9nFNVSSl7gaASkVP8x051CGmHWGQJuRYIgQKbTCNjP65o0IwALg3wGNwmpFQAOdFN7iPQVvAQaeeQ54Q8O64RoDZAgg1xGNwx1BA0/MqukFNhpAsPGWuKTd2+BQBKkqb0z4GwCNgPGjSV5KTJaWGb1JsznHNeSQxWINuUFuQ16yCmYyHfGuTAG3Zds0x5GmIqrVKUqnLcS4FQUilkq1CcBierYf0p58jQakUZMiF1V7E9XOW+CIQ1o4DUlB+HWnwqkJi+en1qGWVVIiWICkZVsqaLfCXfHMFp9p2dKiMKn8iELnkrHE887IEd3ySsWMAjWcATmns+W/mbMDzM8WcAHgtPu+DFIBaW5edc8yP33+DCAytn7oYSvNLbkaBneHIWq4uW7WckBO7NdUtZHzJuBr0iZnSPMvYCBCsgYzLUjQo0kJ1w0zh2xQA4r+qFmEjlc61U2TQBhqb+99E/xWXKw+EGMAQ9CCABDQ4yg1IpUtXM+IdcoxVQghQqHkKeDsUYJFDk7+gaRVYuk8fj4kDMZDCLTsTq5C0aJFlW850u01RzT3RyWALBA0oF79RvJ5As1odUEjGKudno5X2O+5j9XV80WzY0a7bjyo/ZPhVI9LBGvfgJDuNsIGmppXsxV/2W1Iu+XV0ZlKo042kKqGDmp6UH4gty6v00g10FFNdoxGWo4KnNxK5cNjCjLaXyXFwA6ArHIzIHVeuTvoXjiY23yHm0dmS32WGZfYp2cb7BcAWzVa3jIeRC1VR6VwBfPN2mb0C9q/RaMQwUG5j2isAXAEHmMvvi7M4nk9iDQbAj17LnyNRtAlAEqILsBoSKC+AgYQwEIrCoMj0sDdgFCGzbZhQMSRaDsI6nWDQsOhVFDDuEKL/moqzjacco9UN2i+RnadCkumCtqiRQBG0ZDVK1tgYm00DFTGiyo4dZCbyDRQyGMIOoxCjsdv6jt08GEpNJRO3jVkodMnXwXee097rHPY8jmGSjGbGTfzgMT6ofCQsLG08Ai+W9fjs9L5mA9dTCP9yXjYIuSjfFRuxUNcgOEM6EstxnlD+QXTGBIMGrB/+bKWbCcwkAOJlFz8H8Fjlg36DcF4fcyRfBYMqbqarN+McdFcXwlTYyyDLBqX4gxaQWSuavaZUswXut9g6D+R73QtsiXJLXsn0sVQWpF8cUb3Zzh1I16IxKMgho3sk8luejEr2KHUwAaANlDnStTn+RUYzQ7pCB8ioW0dGTsk+wTpBMQjE55cWoAKlbVdd1VgA9v5Rdqcv+O2ESbh3IpC3ASow+uSyNgsHO7Wi9e3HQ5Eza+bIbluvqcoRsQ80hsaE80YSKjY2nZRxC5nOkSzIjKFPXVvBUAlAu1PMWaZvYzHPIIKnFoKk0TAJpo0hbhQKqdn2fxkUCg+wNYbhsl5sUtFkkSVLkZT5b1uTFYZY67cW6M9MkOXJnWvWxLBvlWq5p3EuSgV6MnDdU0aEq68GeryxUIIO/RpvJ9el8B/V8iysnDg6qD5EDNEbZxexKkDkKEIAMbgre3wx0a3Yod4bkIxnFsBfAgC8QC9mtJpA5PMiA3uqYbEOMo5gCoy0RtGNkxK0NBpFelsAa9ohKFWcdi1nUqlxom4NTgBgbQ+z55Bcfu30ykHgvu4rymj5L4qUBaFurJPm9/PIjWcl61URHujuH7NOVUHIYQpwi9ecwJ+qr2RbtApQrFrQ0C0wUeZHmLUlRke1FuVYrg4EDGDnQH+jIS32WXeHBawAmoeUIwhWLrlyqE6yVHQRHc06Mk7WaZR3KxgSB701jFuj1SZmgVZzDRkuxXdQ+4cHOrDnCNswcFZItIVBsAAy9pyuU0htG9aSYg2Il5AGRS1FqiIyT0aoGhsu0mACqr1SQU3k26KqmIfKBfJ7pqVAeRgV0CSxGuveyyD1S9UhDZfRvj26uPl0uYvbX+yCQ/QbRTNlCxmMxilbVP3L7VCAx7RCHQca6RBgTfujGY6QDGYSV5DNkrIKxb89JnWoIie4hjZp5KQ2coTm3U9KnZpsd3sFZqxC4gqt4WdofgoM4WYQjJ30iSyDAPUPLzKZU2OUCHTYCzhN/hTwXbbPIIkZGwYAoXExI61Duqh0uZjEiFNAuUqNa1K7PioC4MYnskPJmnIqG2Wy3HFR6RtW7vnV6EJS9OVWY6d3Ia8tMe8QVCGCM0htIQ2KYVZBTz/zUUZoP6/BvIAOhMFhHel5iZGh2/IVcrw8+y4rrnScjPWsEGDGK6fUIqRfBQComclmqsO3hsEroUnh2tZ2GhDVAaPz8O2ASDRTHcbTr8u7l0LnmFyejAFrqyfvhVfK0eVjIQtFGOU0Jo656ia4reAobZpo5k5pjOA2MaaPIgKgF0JawGFcRoZiGBIoHh1zAsbly2ANPXEa3LDKOolydFOGbYv9hGXD+ZgpzepJZXDIXVq0GXadmGRr+Zk++e0dbNm7c8zNkPB4g4j3cE3hpDWHAVOdpCCgGk2C7VOzDkNTgIOt7yDA5bA0mm0OrGrmadxsxnTCfXPBC8sE9BncbIsVUcmA/c8AS0BT27XFjH2QZCQJpP9H6nu3BQVFjg1VKgQKoKilMNW0YiV4CCtaW+rbCtn8kgAA+IUgAJ1BUzMOtTGdBaqC35A+LwSiAyhsIaR9sJDIHGTW3GTzSp2Gk+x4M0rKLdoiUs0mKL6oFDLQK5lkw/HibWEW+QXbjZ4Z0k30ko6CNwKyCojT5TbKCiwyi4xWjoMxSbQBBMC4CGiM+WSbfvbJLWDZBceEbXFTIVBsKqrJR981NbNS27DhadV3BQVHP9yiQUWJXB1OptUuzEUvg8WLQmbOsc/BjlH3weMXmMgc5w7ZyJdpgScO1GAPEIBpspEqY1Aeg4i7WUaYZhdhNGynR3+n3B2tNBgHU9HQ2bQrZLks2CW+bBJAqL1jzh5HzR9w+JUhMVaNmoQZodANa/xje4WIbU17mdk95Lp8/Wu1Q6HTbN3qAGYzGQOr5peQsDP9IDdw0Onpl7YX080gm4bZx4TEMrrvsCMkUmBqOZAeafK8nQJPc5TVIlrEQ2LbwhpzF8y2uVjFM5bJmHki36xd8g4DjLafmgTGDJW0yzddiAEEqXv3O/e59TftVMp5C13i1T7UclOCFulaRmZzQFk+Wpa0CYhtUQzASvIrzRa+/EdPNKUDgNWiA0GpbAIpRZNKW0TYxIiTLBiGmosmO8relUpgMlKb+a22onYzC0Met4ZWhGWgWXbVHtfpHIhC1fUqQsOpGqtT+fHeIVhc23LpfIrayGg2BZ7dPMxMTDJAE0gi5KflzxXEmYFkrNTsc4c+Ra+GlOlxUNcKS6sdOW0myjotGxj/XfUP3ZaxEGLC35pkwBL5BhCPwhKIwrrH67ka+U6tEDsc32JwLTrNlKF5C72+QlyZdtYZvBjw3Y2kGIVuEw/Fn7IwMeXdNXWk0nJb6I5BpsBnkGoqL6ESvsRob7Q2yZyQ7QAVxBQwPPPu+LJt0ftgT7AL4znnVAAzrnArjDFMAhkEya1zu1JqwFm33WNlZK1TcWB9pdzC6auW5kH1CLMEGaOh71en7vVSTH0vN0PYpQQJojgAgVTCqCnH/3gBmZFFVa4mURk+riV8XjZIU24DcdhY5TZxkX1nEU525KL12X5aDH16GvM1sxem1EDfZnnsnoLgRZIwAw1/bkZ15wxCe90t3rSO4AjrATk59fVOS5CBJj8WbCUzyGZOxNAhqYO7hCUmVwKseRSJ29DVtPXjyDimJcXydz9BzR6hd2gwMGIJGP+M1hLeMM7FWQ7KJ5fHgsfR+k82DNJ5l9VAasFWWUwOYyV6hQb6pAvU1PoAlVQLZKmh01P0nY+BznAOf/QgChHrdGuTn/zr/fhwk6xULuW8/HlB8WpCY26yStsu3B8QIBhgVmmUpLXVsVo2na0v6Wjorr9D0due1QDD7ALgsIxov0r2npfxSJCRgeJbbsgg1YAZ58jPdWyyCZTyfsZKyAEiNSFmUtH5mqW7SiOknCMZ2mOWgl31EEn/XAMyeujNuGplCTsMksz97SY5JlR2IC7D1LddogEoxcgT+DK2oVjYJWvRTBdzVZtK7ISOj7Xr+sGn4lHGQBkkTt5xqBctK/SCD4LRBHUTF/mWuyM62r3TimUGBUWuAjI2BW4DAAa1VwwsMBlgcagak7vaQt/lPTVZlJjDEuOpjt08LElPl6HN3wEigkBFznxhRFFn2HWcAUTDsd7OBcqEaWZRt/GIUWASAN9J0JWLJrqHJbUTNN4AvfPJVsiiveQMqxPuyfEoxJHlwlD4O3ZfGUZkJK2nLkPNdCmT4HpuDZaNzJJqxtJ+i6ic0FJMtzXp7y5+DCFve79n3/8o1uWBO10+QfSiXNh8/RgQhAKZy59xhWf9t/cFgJFbfIYIsCLVXezkCNV09r5WSlvd/1rwVxRjQbtMGhgkUu56/DZVKtSdrkGHc6b7U9xCAtBrS37XakO/a7KJVColHFB68BoyP3T4tSLzaNHjt3XF3mndeEAz9u842FZSNQdL8qm+zQdRBNfgzUSwzSp9hdd8MiMqueY3n0m/K8lEBUYZaMSxJcksQRUG2+7W1czEMdaIRRVDPkqHjfY2FAGmUwWmOlHeorADWto4JHqHvYloi7LhGcQUB3IC0r1G4fBnqTL4RVKwErS8FjmkTaLaR90+IXYR7o/dpqU9Q9egMXnkT9u0axU7w2rqu92lzyDJ3daJYiDUgLCLWARAYwVBziFPtcnQ/mPAwefLQ0Oo+P+b2qUFCHQpA+4hF6TXBySijBpnrcHRna8MnNQBSflaytfRJtmE14JLCB+l//teDQiuERYV2P2DMHYth7EwG8TBFQQqKaLxEGiu1DF8g8IUg8sanFSMIG6pFtHzZHHAbhi8m7tJMAhAz646oox1iQneY5QujXaKT9czOa2hDorwaxzW1b5tPKwcJX4pSUVnp/WIcPt6pBr0ASSADAIyanM8EKKZALtZNVY7PwyAqY9mkUB14tUzCyOp3NYgzcpRTIkezBT9Yw2QdVrYLxTooMKqBgneXvW2U0fZjAwTwyUECuAGFOno15OQAzS+cZY6ejG6kXffj+dL1usNrbgQN4L5dFFCEtd8AAaaiUzIX6KCeULNUaRlCgVjFP/iutJSi1LxGQ6AmjEEHlpfrtbhRxUGC+bH1xn2Nqivv3ya6k2vwVc+B/tKYSZ41DIKgO9WgcPFmEh0efYJCP4WO5OYrZzRaXerp9pVPkmWlImh+zQ6gk5FxTrsne4Dff9/G8428oMkemhUkc5jT+FkIfKbqkKXndXOdz+nN0G/0/w1A1Xz1az/e9lcBEkDbJuRGmgv1qDtNNKiZtukGVQix7pndOuia7MGQ8QmitopFQA36sjtUu+S15fnQMGQnnFPwyWuiwK2+Pio5S88/fytfLTv8FeO6yJW/OkZEA+iqaE6PwKY/v6Ijy+VqBLYse4BH8SaevQ3yOzs4r2HNhSEsOBlwUR4+C/hsjEy0lqio94gaTLpWRsJpzOg82N7EHEQ95cHiBRVU5QOAWq2IMipW6rvbcIH2gHU+i9Qmt3znPG5XJ3AOcrc52AVUX2MQOMDj1f7H3D49SAAvgGJAwr3D6opGWFHR4eU47hvjWOHGjHFA2zMkCYuM35iKnqHhJt2iObCzsZ2DJvcdOdCMQg/H1G56CEQmwmb+iRUNF6ikLYMeDdLqbYY3TKCinLwTgVGz7wc/NGJuFzUjO8r27eqLYmuqC2QG7qNeZQyumlU6v3Nrm0i1l3UzuKF0ehNbq7Iti5Xzobk4PWTTyBZwdL2VdDcNbgFK9MC/xTJondk2Os6/IcBGH8rpCs66LAbRFt2DQfyUAAH8lYAE8B4o3ETzJyBkSeCkYLLwL90jGjg0UNXJ044gU+Ug3UX5SewleUvqo9SYIs6RZZdb3TsCmSkZ4KCYTETPTPvATNl2G7kSyUoojnHK96vYx5abcQz+k33dhntQhlfqduBI8LLpERnPRjbQA2yC92Qo/PXj/qBEPvGqATvvuyoOhvfhheE9Ua9EguwKHYOhL6kyeGExNIVhP1sCbS72Y51M5U6bxHiP+r9tE+fx2SvlOXsHHAAOzjHe9TUw/FTwkNtfDUgArxlFD8jZiaau1pJE22aHqQYs5vqel8xhr307EVFSezY+YFVOEjxYdg/2EYd00Fv1l1H3R3UcHS8QdMYQrH2xD9lGTjn/Sl2YQFFCzwSQqn9+fWM3xzV61HrNaSrlr/PZpqB82ekjyA7iCDCqlzQk6zjFM2qdCtXteA+DpD1GmQGzNhfFQUlzg/pJv00ZxNXqAju+f/WHoRqt21sUkIgJwUblnYAwWdFPuf1VgQTwAigkBay/S+/G66rUAHHrXNBpCJJrr3X3hqTxEAhExyqUlJ5DAdX5A8lecnIWMLsye5TYguhk2k7ELNqHfzocZWhsVnQMdgHEjX2UoOLfdA/Xtf4tg3/uY5S9XXMCRCfoFdvguxcbGXV2f4+cqWq+e0OioNn1KYI5MwG4VzCTDIJiJmlfEMzrCfued1ZaNgj1PXkjAgAn8DGiwrqhmbMTHGBy2+v55rwQNsDp5TU/4fZXBxLAa0YxpeU8PodtNvS97Mk+UAM2+xPtBqc4LPu/7qJfmDJbYT+SVbKOT1FbeRslaW6SHQKf93JfQPHy28O4R3rP76fvQquaalAelWbnc7wDoq9cg6rlHn6PesceuMf+K+/Rtddn+5k0dFsC97uTDZRE1vNxmbz62Sbw5z3HJfVPJ/r+YB8poAjZM973M0DuzfPthqvuEHZ/CSPlq+2vEiS0zYbwMWTVhWKU62aXn/uscCG9z6+miNOOYjQDkr++dXzGeS9JCQUqxatrGfwQdnbV2YkDzQ7u461/08aw6nfRAN/j1189h704/+rcPN9Vxo7NQYT6ns+kd6uB/PX3eE+4x3vUwLoNuL79PDw+afM6+2IQKh7nBjalTvjth8ZTvupn+f3oq18BhvfX/GUAAvgrBonJJu6+4jtVi4jhXrOyBUwomY0Ux+BhIM6UguoEgaNs3W6I2lJLxpMDqNDe/P5UJszalnHe+lbWen+88HiUFxXX38dXyqApddfb17d72eMaa8r9lau/8z10Su9+3M/OMncm8m2Dy9CBS3yU42L1EwdwyKDjHic4vOuLt4c0oNmGtUfnfq95/JcECOCvGCS0aTFgbadRk5s1NWwmgYodODvXqVecfoFJFu0Inpq/deyDE/LaexuA7p85BijxSafFcY32azCK84f4TJjPVAqUHqV++/9v71qSIyeC6EvbB2gcbNg2C/bNcIPmBu3hBAw38ARHMDeY5gbM3MA+wuAVOwJzAcJ4y4ZkUb9UqVRSqVslacgX0dGWOlN6SlWmMusjhzUXTR0v7Z7+wj6xrNcRWUFep51xyNGA4FJtTgQxOgUScy3QGHW59LrihkTO72zrpm77B0Zk0tD52Cx2UmWEwwXIPyB8B2/8+0W4zlxgqDFRaghWHySA5o2Sho0DBjunsHMU/GQaQAyLihJBnEE2cDkXH2j3WAPCEQhmQhHc5CBu/C77EAjc+I5vjpdlM43a/98MCse6QnhnVEtXpOhMsNPJ242gwa1EJ5KlDlmp45MzNywaXUe4npD9xXZyOmHhVRT4SeqY8uEqcc/a1x+GMuV9T40yyD4J2HbGF+37kGqrcUBYSgbh8EkECYlm30SAfKY6mVa2Ef6UiqaBuCHWhgflU1l3gPCu7jgNRUezaFbhrU5YAq7IrigQzhicpfm06zjpMCR0ZCZ0vuMTpPOZQEH+uynettNFwk5tG7OXbe5JUGKRfdrsI76uZtnTzKbM7x01CtpZRE52bvQGCSLaAjgAeASwA3Bk5pdTZWsgjsTpgcSeFu2ckOCzD1NqhJWAueP961ebmf1+uM5zEk4X9dyFzCWRFUQ6zUAR0vfkNXO4jngqVqzjixaf1ruVsaEk6Dx+6zzt4/sgaINuHPBiO0kbpOzUZVtpL2o4MonJX4ITNb/h7n+Uncboyg7abWQpeUI/hmQS75j5WwAgoicAdwB+OINsVcjI3ZXO5YJGrCMjfy49DPMx4GcahqVToUGb4VHb4KWziCFC5HSELIlCOPCl4EgkHMrKyjKrqWMyIens7r9ZX/riKdKh8E2+Pm9zinXa1xGuXWYFLvVPXXunbRM6bs1Lrm3Ie5rqQ4jRlR0srYQoQTZI2MzAg5mfiOg1Eo5fIrtEDGkAEqmnRErmgtwbpI0XdGUdYci0+Z3TcXqGP0TK23WNiW9q/97USThJr05glxux6OQWpe6dth1opzG2Te1fo4OfA32ZxA5Aq1wgoi0zP50gu3qknhIxup5GKZ2+J1juPA5jyqmhOn0OlELquGM45fhMZdv/e2CQ6AsS14l9zwA2J8oqzoRcgx/SwM+hM+fxFdNjltENInoD4I3d/Ofyi99/m4PHCHwO4K+5SRRgTXzXxBVYF9+vTlHuCxKpTOAaibKiRJaZjwCOAEBEH5n51SC2M2NNXIF18V0TV2BdfIno4yn6fYOzj0iUER19DCWyCoViJcgGidjB7QjGL3KbiDZDZBUKxToxpE/ihohuYSdIMbMc0rwDcA9bOvTIduHYL7IYrIkrsC6+a+IKrIvvSVxjHZrlAAACoUlEQVSJ3euZFQqFIoHlThhXKBSLwORDoGta+1HIdQdgbze/AfB97XUqY+1FRO8GloJnQylXIjrAdIQ/AQAzP9TgKc5f2m73MCN825zsRFx3AH5m5q975Mb5l3shy1QfAPfi7y3M+o6TZefkCjPU+0ZsHwD8WpPrWHvZxsFL5mrteStkF21bx1Vs31XkuR96T8f619QXsJXE7L6/T5VdANc9gD/E9gZmzdBmiXwjmUNNu47hKm07x2cE31i26sPNnpOnaC/MPHmfROd6jhNlp8Dg87NJfW/Erq3dX7PcKLYXER2Y+cOkrNIYzNWmzi/i7zkwxrb3RLQhoj2A91OSG4nR/jV1kFjT2o+i8zPzo9j8DsBPU5DKoIivbQxzTWwr4boF8Gz7JJ6I6NY6Xk2UtsUbq/MnzNB/1f6TgRjtX5/cm6lqw04m27F9j8aCsZspiyjFNYA9h/eSHGGc77NZWeXxCsBb2Drfvgy49kNjMkydSUyy9mMijD3/HZqlRy0M5mufxHM+3Urbgc/SbAm3qVh2Og5DbbuFzR7YrEn6EsCPbibygjDav6bOJNa09qP4/HZ26VtmfiGiTeU+iVK+r8Vr2zZ2Je5DJfuWtoMYLzCNvBZK+DYCMJuXLR1R9wE3BKP9a9JMIiaw5LUfJVzt9gHABxEYqtbNhbZ9YOaj+9h9x1oBeEQ7eHbbri+lZgAubAsPSNz7ig+3TpzNvyoNJ93CGDIeT36P5nyDTtlKw0iDuFo5jj7Vh+1KbGv3baw8w5RJ2yVytTzvYN45coeKQ8sj+R6s7MFyrmnXfXRP9xmeo/xL124oFIosdO2GQqHIQoOEQqHIQoOEQqHIQoOEQqHIQoOEQqHIQoOEQqHIQoOEQqHIQoOEQqHIQoOEQqHI4j928y4h2G8rzwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Reissner-Mindlin deflection: 1.381343203499173\n", "Love-Kirchhoff deflection: 1.3817284430040004\n" ] } ], "source": [ "from dolfin import *\n", "import matplotlib.pyplot as plt\n", "\n", "# material parameters\n", "thick = Constant(1e-3)\n", "E = Constant(10)\n", "nu = Constant(0.3)\n", "\n", "# bending stiffness\n", "D = E*thick**3/(1-nu**2)/12.\n", "# shear stiffness\n", "F = E/2/(1+nu)*thick*5./6.\n", "\n", "# uniform transversal load\n", "f = Constant(-1e3*thick**3)\n", "\n", "# Useful function for defining strain energy\n", "def strain2voigt(eps):\n", " return as_vector([eps[0, 0], eps[1, 1], 2*eps[0, 1]])\n", "def voigt2stress(S):\n", " return as_tensor([[S[0], S[2]], [S[2], S[1]]])\n", "def curv(u):\n", " (w, theta) = split(u)\n", " return sym(grad(theta))\n", "def shear_strain(u):\n", " (w, theta) = split(u)\n", " return theta-grad(w)\n", "def bending_moment(u):\n", " DD = as_tensor([[D, nu*D, 0], [nu*D, D, 0],[0, 0, D*(1-nu)/2.]])\n", " return voigt2stress(dot(DD,strain2voigt(curv(u))))\n", "def shear_force(u):\n", " return F*shear_strain(u)\n", "\n", "\n", "# Unit square mesh NxN elements\n", "N = 100\n", "mesh = UnitSquareMesh(N, N, \"crossed\")\n", "\n", "# Definition of function space for U:displacement, T:rotation\n", "Ue = FiniteElement(\"Lagrange\", mesh.ufl_cell(), 2)\n", "Te = VectorElement(\"CR\", mesh.ufl_cell(), 1)\n", "V = FunctionSpace(mesh, MixedElement([Ue, Te]))\n", "\n", "# Definition of boundary conditions\n", "def border(x, on_boundary):\n", " return on_boundary\n", "bc = [DirichletBC(V,Constant((0.,)*3), border)]\n", "\n", "\n", "# Functions\n", "u = Function(V)\n", "(w,theta) = split(u)\n", "u_ = TestFunction(V)\n", "du = TrialFunction(V)\n", "\n", "# Linear and bilinear forms\n", "L = f*u_[0]*dx\n", "a = inner(bending_moment(u_),curv(du))*dx + dot(shear_force(u_),shear_strain(du))*dx\n", "\n", "# Solver\n", "solve(a == L, u, bc, solver_parameters={\"linear_solver\":\"mumps\"})\n", "\n", "# Post-process\n", "#(w,theta) = split(u)\n", "w,theta = u.split(deepcopy=True)\n", "plot(w, mode=\"color\")\n", "plt.show()\n", "\n", "w_LK = 1.265319087e-3*float(-f/D)\n", "print(\"Reissner-Mindlin deflection:\", -w(0.5, 0.5))\n", "print(\"Love-Kirchhoff deflection: \", w_LK)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Convergence results\n", "\n", "We compare the convergence behaviour of the `P2/CR` vs a standard `P2/P1` discretization, on either a `\"crossed\"` or a `\"left\"` mesh.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "findfont: Font family ['serif'] not found. Falling back to DejaVu Sans.\n" ] }, { "data": { "image/png": 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\n", 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xfOHlhUezZugHDUJ//yCHtn15207hXNjTwGwDVpk3PRDv7HMvRTjTENnVyM/PZ++6HzDsWEL7jHV4ikKngFyp499aPfDq9DAtu96Fxu3qK/r37NnDE088gZ+fHwsXLqRZs2a2lm8TqnKYJSk1iWWHlrHi8ApS8woNuafWk/5N+hPZMpKwOmEuY4yNmVnkHzYPsR36b6jNcPZs8Tk+N95I/XfeRle/vkM0qiEy18aeBmYYcBHoC0QAtYB4ACnlyIoKsAeuZGBKknLxAv/+8SV+B+JoV7C7+PgF9Bypfyv1ewwlpNUN/7nlWsBgMDBjxgyCg4MZPHgwJpPJKVJIlwdb3KTyjfmsPr6aZQeXsfn05uLjzWo1476W93Fn6J3oPV1ziNGYlkbm2rWcmfIuxtRUNL6+1JswnloDB9rdeCoD49rYdQ7GQuV9gCgp5f0VLsQOtG3bVu7du9fRMirFscP7Ob5mMY1OrqCxPPXfcW1jLjQfSLNeT1CrXqMyy/jpp5946623+Pjjj2nbtq2tJVcZ+/bto3Xr1jYr/3j6cZYdWsb3id9zMfciAO4ad/o07kNky0gi6kW4TK+mJIZz50ie/AaZq1cD4NOzB/XffAtdvbp202DrtlPYFocaGLOAps4+F9OxY0dZXWJ4mYwm/tm2hrTNX9DmwioCRGGuG6MUHPAOx9T+Qa69+SF0XlfOKZhMJhYtWsSkSZMYNWoUkyZNcolotwaDwS46C4wFrDm5hmUHl7HhfxuK3bsb+zdmUMtBDG41GJ3WtYKNSilJ//FHTr/9Dqb0dDT+/gS/Mgn/O++0i9G0V9spbIPDDIzZRfmCK8zDuOoQ2dXIzslm959xaPYsJSx7Ex6i0HMqG08OBvaiVpdHaNKxP0J76Q/85MmTLFiwgDfeeIPMzEz8/Jx3ghscM8xyKvMU3x36ju8OfcfZnMI5jfa12zOt5zSu8b3GrlqqgoIzZ0h+9VWy/loHgG+f3tSfPBk3G0/AqyEy18bRQ2T3AfdLKR+ocCF2oLoamJKcOZPMgdWfE3R4OW2M+4uPnxO1OdHwThrePJQ6oWGXXGMymQgLC6N///68+eabeHt721u2VTjyJmUwGVh7ci3vbXmP01mn8Xf3Z0r3KfRs2NMheiqDlJK0Zcs48+57mLKy0Or1BL/+Gv633mqzOpWBcW3sFq5fCNHr8mNSymWA0yda0TjJmgBbUq9efXoMHkfrVzZx8P61rAl+gpPUpY48T/jxT6nzeQ+S3olgd9x7ZKckA4Wfyx9//EFycjLt27dny5YtDn4XlvHw8HBY3W4aN3o36k3sHbHcFHIT6fnpjPpjFB9s+4ACk2NDEJUXIQT6yEhCf1yBz41dMaamcmrMC5wcMwZDSopN6nRk2ykcT3m8yBKBWGDVZav5nT5GmasmHKssBQYjO//+jdztXxGW9if+ojAvToHUcsivM9rwwbToHonG3Ysff/yRa6+9lrp16yKEoFatWg5W73yYpInF/yxmZsJMjNJIhzodmNZzGsE+wY6WVm6klKQuXcqZ6GnI7Gy0QUHUf2Myfn36OFqawolwpJuyxNx7cXY35datW8t9+/Y5WoZDSU1PZ/cfS/Ha9y3X523DTRTG+srAm6S6/ajdbQgh7W/hs88/55VXXmHu3LnceeedDlZdyLZt25wqKm/CmQRe/utlzmafRe+hZ0r3KdzU4CZHy6oQ+SdOkDxxEtlbtwLgf9edBE+ahLaK/mA4W9spyoej52Bcwk25JszBlIdjx49x+M/PuObo97SSh4uPn9YEc6bp3ZzwaMPzE9+ie/fufPrppw530XXGcfyLuReZuH4if5/6G4An2z7JqOtH4aZxPY8paTKR8uVXnP3wQ2RuLm516lD/7bfw7Vn5eSZnbDuF9Tg0ZbKUMh4YV5kyFPancaPG9BryGi1f3c6uu1byR+2HSZZBBJtOE3Y4hjv2Pcv3jwXR81o9Qko2b95MZd3ZqxuBnoHM7T2X58KfQyM0fLz3Y55c+SRnss44Wlq5ERoNgY89StPvluPVoQOGc+c4MXwE/5s0CWNGhqPlKVwYq3owJSb4t7mCW/LlhIeHS5UbvGxycvNJWLcC085vCM/8Cx9RGFZ+j1s7HlpyjqbNWjJv3jwaNGhgf205OXh5edm9XmvZdnobY/8ay7mccwR4BPDuTe/SLaSbo2VVCGk0cnHxZ5ybMQOZn49b/fqFvZluFXs/zt52irKxVw+maAismRCityWPMmfG0QnHXAEvT3e69Y3kppfjyHz2X1a3fI3zshbtDHvYcN8FWvjncf3117PVPFZvT06ePGn3OstDRHAEsXfG0rV+V1LyUhgZP5KZCTMxmCxHdHZmhFZL0JNP0HT5MjzbtcOQnMyJJ58iefJkTFmW0yOUhbO3ncK2VGah5UAp5fIq1mMT1BxMxThy4jjHvhzNzXlrAPgjM5SIUYs5dMFArVq1aN68uV10uMo4vkmaWLh7IXN3zcUkTUTUiyC6RzR1vOs4WlqFkAYDFxZ9zLk5c6CgAF1ICPWnTMGn8w1Wl+EqbaewjF16MEKIgUKIDhWtROGaNG3YiG5jv+OH6z7gtAygl28Snot7s2HJVLp06cL777+PweB6/9JthUZoGB42nIV9F1Lbqzbbzmwj8sdINiVvcrS0CiHc3Kg9YjhN42LxuO46Ck6d4viQIZx+ZwqmnBxHy1O4ANbOwQwDBlGYbCzJvKVKKSfYVl7V4KwJx1yJPYnHOPnNGG41FAZO3JLfjAnr3KnXMJQlS5bYtO7k5GTqOyjcfEU5n3Oe8evGszl5MwLBiLARDG8/HK3GtSJZFyELCjg/P4bzMTFgMKBr3Ihr3n0P7/Dry7zOFdtO8R926cFIKRdKKftJKVsA4ykM07+qopXaG0e72VYH2jVvzM1jY/mi2QeckkHc4H6YX3sd5LXbG5GblcFHH31EXln55iuBq6UXAKjtVZuYPjE8HfY0APN2zWP4quGczznvYGUVQ+h01Bk9iiZLv8GjRQsKjh3n2MMPcyZ6GqYy2t0V205RdVg7ROYvhGgCIKXcYQ4R4zLJMnJUd75K8HLX8uijT3H0/niWa/rhLoy0OjSPUx/ezNqVKwgPD2fTpqofDnLVRbJajZaRHUayoN8CAj0D2Xx6M4N+HMSWZOcMyWMNXm3a0GRZHEFRUSAEFz/5hCP3DiRn926L57tq2ymqBmu9yCYCC4QQW4UQLwkhBgKdbKhL4cR0axNKr5e+YlaDDzlhqkMzYyKxnXcy7u7WDBw4kKSkJEdLdCq61O9C3J1xdAruxPmc8wxbNYxP9n7iaFkVRuPuTt0XxtDk6yW4N21KflISRx8azNmPpmPKz3e0PIUTYa2B2Sql7Af0AdKAZsACm6mqYnQ618rh4Qrovd0Z/dST7L77V75iADph4jH339nxbDChHinMnTuX1eZEV5UlONj1Yn1dTh3vOizsu5Dh7YcjpeSj7R/x1b9fOVpWpfAKC6Ppd8sJHDoUTCYuxMRwNHIQuSV6LdWh7RQVpzyxyFzGLflyqlPCMWfkdFouC7/6kkdOR9NUcwYTGn7SDmDUwvX069ef999/H72+4iOqeXl51Soq7w+JP/DK368gEET3iGZA0wGOllRpsrdv538TJlJw/Di4uVF7xAhqD48i32SqVm1X07BbqBhXNS4AmZmZjpZQrQmu5ckrI59kQ78f+MR0O1JK7jL+wtYRAXjkp/Lmm29WqvyNGzdWkVLn4O7mdzOm4xgkkgnrJ7isG3NJvDt2JPT77wh45BEwGDg/ezZHH3iQLXFxjpamcCDVP1GKwi4IIXi4+3X0HL2A8fr3STRdQ738Y8wOjee9XjoO7NnJI488wpkzrheryxYMbTOUR657BIPJwPN/Ps++C64/Ga7x9ib4lUk0WrwYXUgIufv2EfTue2RVsz8ICuupEQamJiQccxaa1fFlyrNP8Gv3b5lrvBujFLhvm0+9Xx6hgR+0b9+eL774olzBM6tjLCshBC93eplbm95KVkEWI+NHciL9hKNlVQk+XTrT9IcfqHXPPQiDgZPPPkfe4cNXv1BR7ahUuH5XoaYmHHM0u06kMvfrOJ7PnM51msKb51b9nUz88X/ELltOrVq1avwapQJjAc+sfoaNyRtp4NuAL277gtpetR0tq0qQJhOnnnuejFWr0DVsSJOl3+AWGOhoWYpy4LBw/UII/4peWxUIIfRCiChrzs2qQJA+ReUJa6hn+vNDib3+C6YbBlIgtXRK/ZFfbzuD/sIO7r//fubOnYvJZCqznM2bN9tJsf3RaXV8dMtHtAlqw8nMkzwd/zSZ+dVjzlBoNJwaFIlnmzYUnDjByVGjy1yUqah+WG1ghBBNhBAdijZgqg11WUMoMNyaE692A1PYDi93La/dez3hj0UzVBfNXlMT3DJOwhf38MbNHnz5+WfcfPPNlBWMtLovlPXR+TCn9xwa+TXi34v/8vya58k3Vo/1JDkmEw3mzsUtOJichASSJ72icgvVIKxdyT8fiAOiS2xWZ7EUQoQLIa7wExZChAohxgoh+pgfrfZllVImUJjCWeEC9GhZh9kvPMbCVouILrifPOlG63M/smZgGoN6tmPHjh1IKWts8MwgryBi+sZQ26s2m5M3M3H9REyyevwx0tWrS8P589B4e5P+00+cnzPX0ZIUdsLaHsx2KWWEOR5ZP/OiS6uGp8xplQHCLbwcI6WMNmfGjMNGvSJfX19bFKsoJ3pvd2YM7kSr+9/gQTGVnaZmuGcnM1r7JQ96rOWX776lc+fO7Ny585Lrunbt6iDF9qWBXwPm9ZmHr86XlUdX8t6W91z+335R23m2asU1H34AGg3nZ88m7cefHKxMYQ+sXslv4ZhVbiFSynhzb+MShBChl52XRIlekRAiysLW5/JyrMFWQRgVFeOusGuYN+YRPmo0m3cKBpMrdbBrCQMSJzE6sgf9+vVj0qRJxb2ZI0eOOFix/WgV2IqZvWai0+j4ev/XLNqzyNGSKkXJtvO7+WbqjR8PQPLEiWSrLLPVHosGxpz/pXgD+ggh5gkhnjJvw6h8byMcSLVQdyiAlHKBhS2+IhWpjJbOR3AtTxY/2ZWGd4zjHtNUtppaos0+x+N5n7Drnd54akxotVpSU1M5ffq0o+XalU7BnXjvpvcQCGbumMnyQy67xvmKtgt49BECBj+ELCjg5DOjyD9RPVyzFZZxK+X4RArD8Zec40gCAko8D6pk3Zb8FS9iZZRmc28mQggRKaW8Yrmw2cMsCqBu3bqsWbMGgNDQUPz8/CjKDxMUFESbNm3466+/AHBzc6N79+4kJCSQnp4OQEREBGfOnOGE+cfQokULPDw82Lt3L0Xlt2zZkvXr1wPg4eFB165d2bZtW3EUgc6dO3Py5ElOnToFwLXXXotWqy2ONhscHEzTpk2LV617eXnRuXNnNm/eXDzJ3bVrV44cOVL8o23dujVGo7F4gjwkJIQGDRoUe135+voSERHBxo0bi3tx3bt35+DBg5w9exaAtm3bkpeXx6FDhwBo2LAh9erVo8it29/fn/DwcNavX1/co+jRowf//PMPFy5cACAsLIyMjIziIJdNmjQhMDCQBPM/1ICAAMLCwli7di1SSoQQ9OzZk927d9MoL4UhnZvyVuJUws99x1i3pdQ/9QsTfALI2HwdHR9+gzZt2uDl5UWnTp1qTDv16t6LJxo/wcfHPmbyhslo87VE6CMc0k67du0iJSUFgPDwcC5evMjRo0eBq/+eij7Xku3U8dlnST1wEOP27Rx49DECYubjGRTkku3kTL+nyrRTab+nymJxHYwQ4nop5Y4yL7TinMvOl1JKUeJ5FNBXSjmoxLHDwCBLQ2qVoUOHDvLycX2Fc1FgNDHnz0R++ONvpmgX0FVbeKO42LA/T/+az+btu/j666/p0qWLg5Xalzk75zB/13w8tB4s7LeQ6+uWneDL2Th79ix169a94rgxM5NjDw0m79AhvLt2odGCBQgVlNbpsMk6mMsNR8k1L0KIpkKIXkBKRSs1Y6m3EoiFYbPK4uoTpTUBnVbD831aMn3kvbxS6x0mFTxBpvQk8MRKloRvY/6YuwkK0HPx4sXif2k1gafDniayZSR5xjyeWf0MiSmJjkBIbJUAACAASURBVJZULoxGo8XjWl9fGs6fhzYoiOyNmzj95lvqd1oNsXaSv3jyXUp5REr5B5a9wspDAhaGycyT/VVKbm5uVRepsBFhDfX89GxP3G54kv55U/nTGIYmP4P+Fz+lxV9P88uS+bRt25bly113XqI8CCGY1HkSvRr2IiM/gxHxIzid5TpzUmWtb9KFhNBw7hyEhwepsbFc/HSx/YQp7EKpBkYIUavEJH9HCxP/fStT8eWGxDy5/21lylRUD7zctbxxd1vefeJ2XnZ/lRH5z3NeBMKp7TxyYRpLx9zCxAnjefjhh2vEv143jRtTe0wlvG44Z7LPMHzVcFJzq7yj7xC8wsK4Zup7AJydNo2M+Ar58SiclFINjJQyDdgB9KMwwVi/ElsnChdbXpWiRZTm/amXuRoPKlpoCURKKa1amV9e3N3dbVGswsb0aFmHH0Z356C+Oz1zpvEltyOB7pk/snMoDOvTCgGsX7++2hsaTzdPZvWeRXN9c5LSknjmj2fILsh2tKyrEhISctVz/AcMoM7zz4OUnHp5LDl7/7GDMoU9sCrYpRCit5SyatITOoDw8HCZoHzuXZbzqRmM+34/q/efJUx7lE/qfENQamEO+OyGN3PTrMPUCW5ATEwMjRs3drBa23Im6wyP/vooyVnJ9GjQg+m3TEencd7J8ZycHKuiYUspSZ4wkbTvv8etTh2axH6LTmXDdDh2CXZpybgIIZpUtFJ7o4JdujZ7d25nwWMRPNW9KbuMTYg4PZZfm4xDetbC+8QaNt17lpsbaYiIiGDLli2OlmtT6vnUY37f+eg99Px18i/e2PCGU/ferA1UKoSg/ptv4N2pE4Zz5zgxYiQm9bt1eUpbaNnrsudPXbYNA2LsolChALQawSt3tObdge3QarSM3B/Gi3UXUdD2fnQyj/HX/M2GEfXo4J/Oli1b2L9/v6Ml24zQWqHM6T0HLzcvfjj8AzMSZjhaUpUg3N0JmTkD98aNydu/n1MvvoQsxQtN4RqU1oOJNkdMLmIEhYssizY9lV9oaTe0Wq2jJSgqQclYcg/d0IjPn7gBf083lh8s4O5Tj3EhMg6CWtBCewL3b+4jcck4unfrxpQpU6ptFIf2ddrzQc8PcBNufLz3Y77c96WjJVmkvHEA3QICaBgzH22tWmSuWcPZ6Gk2UqawB9bOwVyxqLK8Cy0diUo4Vv1IOpfJk59t48j5LOr6ebDo4Xa0P/45/PU+GHI5lu3D8HWB6Bu14ZulSx0t12asOLyCSesnARDdI5pbm97qYEVVQ9aWLRx/8ikoKCD49dcIeOghR0uqkdgr4VjA5QdcxbiAmoNxdTZayOkeWseX756+ka6hQZzNyGPQogR+1j8CT2+C5n1o7J3Fr/2OM/OGU+QkbWbatGnVcj3UXc3u4sWOLwIwcf1ENvxvg4MVXYqltrMGnxtuoP6bbwJw+u13yFy3viplKeyEtQZmgXnti0uiEo65NqVFw9Z7u/PZEzfwYKeG5BlMPLMkgVk7DMjBsTDoM4T/NdTN2EPugn5sWfExYe3bFce3qk483vZxHmv9GAaTgTF/juGf887j5luZSOb6e+8haPhwMBo5NWYMuQcPVqEyhT2w1sCMk1IuF0L0Ni+07HX1SxQK2+PupuHdge2YdNt1CAEfrDrImG93kdvyTnhmC3R5mgAvDbG9k3nvxmweiryHw4muFW7FGl6MeJHbQ28n25DN06uf5lj6MUdLqhLqPPcsfgMGYMrM5OSIkRjOn3e0JEU5sHYOxl9KmW7evw+YAByWUj5gY31VQseOHeX27Vck1FS4CAaDATe30gJ//8eqfWd47psdZOcb6dg4gJhHO1Lb1wOSd8FPY+DUdnINEs8bHmdWUlNatLqOAQMG2OEd2IcCYwGj/xjN3//7mxDfEL687Utqe9V2qCZr264sTLm5HBsyhNxdu/EMa0/jzz5D4+lZRQoVZWGvOZiF5nwwW4GmFEY8dgnjAirhmKtz0Mqhkb6t6xE34kauqeXJ9mMp3DPnbw6czoD6YfDkKrjtfTw9vSDhM647/gUjR0QxZMiQ4jDpro5Oq+PDmz+kbVBbTmWe4pnVz5BrcOy8k7VtVxYaT08azpmD7ppryN21m+SJE5Fq2NslKM8kfzzwHrBDSulSKQarq6tqTaEo14Y1tL7Gn+9HdSOsoZ6TKTncN28Dfx44Cxot3DAMnvgN/BvQx/8we4Z5EOCWz5QpU2yo3r5467yZ02cOIb4h7Luwj9f+fs2hCzHL03Zl4Va7Ng3mz0Pj40P6L79ybtasKilXYVusNTDDpZTLpJTLgCQhxEohxLu2FKZQVJS6fp4sjerC7e3rk5ln4MnFW/n07yOFN9prroeoNdC4G74FZ5neJJ73B4exf/9+HnjgAZKTkx0tv9IEegYyu9dsvN28+fXoryzcs9DRkqoEz5YtCZn+EWg0XJg3n9Tvv3e0JMVVsNbARJlX8G+jMOJxUW/GJbAmFpLCeWnbtm25r/HUaZn14PU827sFJglv/LiPV3/YS4HRBL514LEfoNMwMOYjfhxN0/3zubZFc8LCwvjkk0+cOvyKNTQPaE50j2gEglk7ZrH6mGNCCVak7crC96abqPdK4bqf5FdfI3vr1iotX1G1WN2DoTCi8iApZScp5TRztGWXwNVvFjWdis6haTSCF/q2ZMaDHXB30/DlpuM8sXgrF7PyQauD29+Hu2aB1h2PnZ/yZrMdxK/4lri4ONLS0lz+e9OzYU+e7/g8ABPWT+DAxdJzs9gKW8x/Bg4eTMBjj0JBASdHjSbfnBZY4XxYa2CGSSknuNrcSxHVcYFdTaIov3lFubtDCF8P60JtX3fWHTpP/+l/sfbgucIXwx+Dx38B32A49jftNzzDL4veQa/XExkZyYwZM0rNyugKDG0zlDtD7yTHkMPoP0ZzIce+Dg2VbbvSqDduHL49e2JMS+PE8BEYU6tHfpzqhrXRlJfZWohCYUs6Ng7gh1HduaFJIOcy8hjyyRYmr/iH3AIjNOxUOC/ToBOkn4RPBsDub3n33XdZvnw53bt3Z9++fY5+CxVCCMHrN75O+9rtSc5K5oU1L5BvzHe0rEojtFqu+eADPFq1Iv/YMU4++xwy3/XfV3XD2h6MS6MSjrk2DRs2rJJyQvRefB3VhZf7X4ubRrB4w1Hunv03/yang399ePxnuP5RMOTC8mG0PPIZf8avYsiQIfzzzz9IKV3SI9FD68H0W6ZT17suCWcTeHvT23Yb/quqtrOE1teHhvPm4lanDtlbtpA82blTF9REaoSB0emcNyGT4urUq1evysrSagTP3NKc5U/fSGhtHw6cyeDu2X+zaF0SJo174ZzM7R+Axg02zkbz9SBGPHY/gwYN4tdffyUiIgJXXLRbx7sOM3vNxFPryXeJ3/Hlv/aJvlyVbWcJXf36NJg3D+HpSdry5VxYuMim9SnKR40wMCrYpWtji0jY7Rvo+enZ7gzu3Ih8o4m3f/6Xxz7Zwun0POj0FAz5EXzqQNIaWHAznN7LrbfeytixY7ntttsYO3asy/Vm2gS14a3ubwHw/rb3+fvU3zav0x5RzL3atuGaadEgBOc+/JD031bavE6FddQIA6NQWMLb3Y0p97Zj4WMRBPq4sz7xPANm/MWve5Kh8Y2F8zL1O0DqMfi4L2LvMh5++GH27NlDYGAgbm5uLhcFYECTAYwIG4FJmnh57cskpSU5WlKV4N+3L3VfKowq/b9x48jZvdvBihRQQwyMSjjm2vj7+9u0/L6t6/Hb8zfRs2UdUrMLGPlVAi/H7iLTM7hw5X/YQ1CQDcuehN8mUjcogPHjxyOlpFevXowcOZL09HSbaqxKRoaNpG/jvmQUZDB69WjS8my34sDWbVeSwCeeQD8oEpmXx4mnn6Hg1Cm71a2wjFUGRgix9LIMly6Ft7e3oyUoKkF4eLjN66jr58nioZ144642eLhpiN1+kttnriMhORfumQe3Tiucl9k0Bz6/BzLPotFoWLt2LUajkbZt2/L337YfcqoKNELD293e5tqAazmecZyX1r6EwWSwSV32aLsihBAEv/Ya3l26YDx/nhMjn8aYmWm3+hVXYm0PJl5KubPkAVcK2Z+pvmQujb1yuAghGHJjE34a3Z3r6vtz7EI2g+ZvZPrqQxginir0MvMNhmPrIaYHnNiKXq9nwYIFLF68mODgYC5cuMB5Fwgp763zZlavWQR6BrIpeRPTttomNbG98+8InY4GM6bjHhpK3sGDnHrhBaTBNsZTcXWsNTDSHE35KXM+mIEUru53CZTromtjsPMNokU9P75/5kaieoRikpLp8Ye4P2YjR7zbwfC10KgrZCTDp7fC1o/BPFTWrFkzVq5cSbt27Vi6dKnTf+/q+9Znxi0z0Gl0LNm/hNiDsVVeh73bDkBbqxYN589Dq9eT9dc6zrzrMlGtqh3WGpjxgACaAzeYt1BbiVIoHI2Hm5aJt13HV092Jtjfk4Tjqdw64y8+25OL6dEV0HkEmArg5xfgh2egIAeAwYMH8/333/PWW2/x4IMPOr2R6VC3A691fQ2AKZumsPV09Yjt5d6oEQ3mzEbodKR89RUXv7CPW7biUqxNONZbSrn6smPXSyl32ExZFRIRESHt4S6psA0mkwmNxnH+KGnZBUz+8R++21E4aXxjsyCiI9vT4PiP8ONzYMgpzDlz/xcQ0BiA/Px8tmzZQvfu3VmzZg09e/ZECOGw93A13t/6Pp/t+wy9h54lty+hoV/VLJB0eNv9+CP/e3ksGm9vmsWvwi0w0GFaXJHKJhyzysCUqKwXgJTyj4pW6AjatGkj//nHefKUK8rHnj17aNeunaNl8Nve00z6bg8XsvLx9XDj1Tuu4/4GqYhvH4WUo+AVAJGfQLP/piezs7O55ZZb8PHxYeHChTRr1sxxb6AMjCYjo/4YxfpT62mub84Xt36Br7tvpct1hra78OlivCM64uUE3yFXwy4ZLYUQTc2h+scD44UQW4UQTSpaqb1xxDiwoupwlrUmA9oG8/uYHgxoE0xmnoFxy/bwxG+5nH1oJbToBzkp8OV9sO4DMP9x8/b2ZsOGDdx+++107tyZTZs2OfhdWEar0RLdI5rQWqEkpiYyft14jKbKB/l0hrYLGvq4Mi4Owtq+a28pZYSUsp956wRE2lKYQuGMBPl6MO+RcGY82IFaXjr+PHCOvvN280PrD5E9x4E0weo3YekjkFu4Nkar1fLiiy+yZcsWwsPD2bRpE3v37nXwO7kSP3c/ZvWahb+7P2tPrmXmjpmOlqRwcaw1MJbC9LvE/AuodTCuTlhYmKMlXIIQgrs7hPD7mB7ccm0d0nIKeG7pbkae7E/avV+CRy3Y/xMs7AVn9xdfFxoairu7O8eOHeOWW27hjTfeIN/JIgA38m/Ehzd/iFZo+WTvJ/x4+MdKledsbaewL9YamKZWHnNKXDmfhwIyMjIcLcEi9fw9+eTxTky9rx2+Hm789s9peq3w5K9bvoW6reHCIVjUG/65NLXvAw88wI4dO9i2bRuPPPKIg9SXTuf6nRl/w3gAJm+YzO5zFQ+74qxtp7AP1hqY7UKI34UQLwkh3hVCrARcJoiRLbLqKexHUpLzftWEEDzQqRG/PX8TNzYL4kJWPo99f4Gx+g/Iv24g5GdC7BD4/VUw/jcX2KBBA1asWMG8efPIycnhnXfeITs724Hv5FIebPUgD1z7APmmfJ778zlOZ52uUDnO3HYK22NtwrEdFC6sFOZthKt5kikUtqRBgDdfPtmZN+5qg6dOw7e7U7gpcTCHwieB0MKGmfDlvZD13yp/IQRBQUHk5eWxb98+2rdvz59//unAd3Ep424Yxw3BN3A+5zzP/vEsOYYcR0tSuBhWxyIDakkpp0kpx7ta6mQPDw9HS1BUgiZNmjhaglVoNIWhZn59rgcdGwdwJiOfvhvaENN0OiafunDkL4jpCacuzSej1+v56quvmD59Oo8//jiJiYkOegeXotPo+KDnBzTwbcC/F//l1b9fLffCUVdpO4VtqBGxyFQ0Zdcm0MUWxzWt7cO3w7sy8bZWuGs1vLsviHsNU8ioff1/KZm3fVrsylzEHXfcwaFDh2jevDkfffQRP/5YuQn2qkDvqWd279n46HxYeXQlMbtjynW9q7WdomqpEbHInGlsW1F+EhISHC2h3Gg1gqgezfjp2e60C6nFrjRvwk+OYUvtgWDMh5+eh7ihkJN6yXVF6b3Dw8N54YUXeOihhzh37pwj3kIxzfTNiO4RjUAwZ+ccVh1bZfW1rth2iqpDxSJTKGxIy3p+LH/6Rl7o2xKp0XH/yUje9hiD0c0H/vkOYm6CE1uuuK5nz57s2rWLhg0bMnXqVAcov5QeDXowpuMYACatn8T+i/uvcoVCUUNikalQMa7Nrl27qsV6ir2n0njx210cOJNBE3GaJQELuSb730IngFsmQvcxoLlyOFdKyYEDB5gwYQIzZ86kYcOqiRNWXqSUvPL3K6w4vIJgn2C+vv1ranvVLvOa6tJ2NRW7hIoBoi5POOYqxgXAy8vL0RIUlaC63KDahtRixehuPH1zM06I+vS8OIFvdPeANMIfb8EX90B68hXXCSEIDQ0lPDyc8PBwYmJiMJlMdtcvhOC1rq/Rvk57TmedZsyfY8g3lr1QtLq0naJi1IhJfrXYy7VZu3atoyVUGR5uWsYOaMV3T99IaL0Axmfcz5D8cWS6BRR6mc27EQ78dsV17u7uvPrqq6xZs4ZffvmF9PR0h6QC8NB6MOOWGdTzrsfOczt5c+ObZeqoTm2nKD81YpJf4do4e06VitC+gZ4Vo7sxuldz1tOBWzLfYasmDHIuwtcPwK/jwHDlAuE2bdrwww8/oNfrGThwIO+//77dg7nW9qrNrF6z8NR68sPhH/h83+elnlsd205hPdbOwSQC8UBJl5fe5qCXTs+1114rDxw4UOrr6enpnD17loKCAjuqUlhLbm4unp6ejpZRJjqdjrp16+Lv71/ua/eeSuOl2F0cOJ3GMO3PjNN9ixYjBLeDyE+hdguL1yUlJREVFUVaWhoff/wx7du3r+zbKBcrj67kpbUvoREaZvWaRY8GPa44Z+3atfTs2dOuuhRVh13ywbj6JH9ZCcfS09M5c+YMISEheHl5OXVSKIVzIqUkJyeHU6dOUa9evQoZmXyDiTl/JjLnz0Ray0Tmec4mRJ4BnTfcNg06PAwWvptSSj799FP0ej333HMPBQUFdl1YPG/nPObumouvzpevbvuKUL1yLq1O2GWSX0q5WggxTAgxz1xpb+BwRSu1Nzk5pYe4OHv2LCEhIXh7eyvj4qQ4+zomIQTe3t6EhIRw9uzZCpXh7qZhTN+W/DCqGwXB19M/5x2+N94IBdmFKZmXPQW5aRbrfuKJJxg4cCArV64sTgdgL4aHDadv475kFmQy6o9RpOZeuq5n165ddtOicD6sDRXzrnk3AQoNDtDHVqKqmrLGqAsKCpSXmZPjKtGwvby8Kj3M2uaaWqwY1Y1hfTrwknEUL+aPIBtP2BsH82+Ck6Wn/h4wYACTJ0/m3nvvZcyYMXYZ8tUIDW93e5vrAq/jRMYJXlr7EgWm/+pNSUmxuQaF82LtJP82KeVCoOS3O7W0k10N1XNRVAVV9T3SaTU816cFK0bdxP7gO7g97x32mppA6jHkJ/1h3YdgwU1ZCMGgQYPYu3cvDRo0wM3NzS5RALx13szsNZMgzyA2n95M9JZom9epcA2sNTAB5seSEzbhVazFZqiEY66Ns7RffHw88fHxjBs3zi71tb7Gn++f6cbAPj15wPgmiwy3IkwGWP1GYWTmDMsh9IOCgnjxxReRUtK3b1+eeuopUlNt+38w2CeY6bdMR6fR8c2Bb1i6fylQGPJGUXOxOqOlEOJ3YEKJfDAuE2TIVYZYHImtb0CVwd5uuJZISEggISGBPn36FO/bA51Ww+jeLVg2+hZ+qDeKx/Nf5rz0h6Q1mOZ1g0OlxwXTaDSsW7cOT09P2rRpw7p162yqtUPdDky+cTIA7255ly3JW7h48aJN61Q4N1Z5kQEIIZoCkUAQsNRVPMigbDflf//9l+uuu87OiipHUlISU6dOZcGCBUydOhW9Xk9qaiqHDx9m+PDhxf8aExISiI+PB2Dr1q0sXLgQvV5vscxx48ZdEfMqOrpwqEOv1xMYGEhoaCjbtm0jKiqKpKQkYmJiiI6OvkTDhQsXmDBhQqn1VISMjAz8/PzKdU1CQgLDhg1j+/ZLQ+MnJSURFxdHeHg4CQkJREVFlUtramoqw4YNIzY21uLrtvw+GYwmYv5KYkn8FqZqZtNdaw5/1OUZ6PM6uJXuPbZu3ToaNGiAn58fRqORevXq2UQjwIfbPuTTfz6llkctngt6jkF9B9msLoVtqawXGVLKar+1bNlSlsa+fftKfc2ZSUlJkYXNd+kxvV4vDx8+LFNSUmRMTEzxa7GxsTI8PLzU8qZOnXrJ8/DwcLlq1apLjm3fvl0CMiUlpVQNq1atkqGhoVfVHxsbK2NjY696npRSpqenW3VeSQ1FWi+nT58+xfuHDx+WUVFRVpebkpIiY2Njr/isSmKP79OB0+ny7plr5XsTo2TBa3opX/eXhrndpTx36KrXfvPNN7Ju3bry888/lyaTySb6DEaDfDr+adl2cVvZ56s+Mj2vfO2ncB4onH+v8L3X4Td/e2zt2rUr9QOsTgZGykLDMHXq1Ctu9EXnFxmHksTExMjDhw8XPx87dmypN97IyMgyDYyUUgJXGCdL5Wzfvr3Mc4rIzc216jxLOkpy+PDhSwyMlFLq9fri/ZiYmCs2S+8jKiqqVONor+9TgcEo561JlJGTZsjjrzaT8nV/WfBWsJQ7lkh5FcOxbds2GRYWJgcOHGgzI5ORlyHv/u5u2XZxWzn0t6Ey11CxNlQ4FmVgrNg6dOhQ6gdY3QyMXq8vvimWvIGX9o9eykKDUhKg1Jt/bGxsmQZm+/btUq/XWzRkJbGml1NEQUGB1eeW5HJtsbGxMjIy8pJjRT2+qzF16tRiozJ16tRSezH2/j4dOpMuH5q5Uq54pZ+Ur/tL+bq/zFv6hJQ5aWVel5+fLzdu3CillPL333+XRqOxyrWdzDgpe37dU7Zd3FaO+XOMNBgNVV6HwrZU1sC4VXx0znUo70K9JuN/tpGSsjn63u0VvjY1NZV3332XqKgo+vQpXKJU0oNn6dKljB079orrkpKSaNas2SXPAUJDLa/IjoyMvOJY0TxPUlISqampHDlypNR5jYSEBJYuLfQwWrBgAffff/9V50BycnLKPQdjCUsTzoGBgVY5OERGRpKUlER8fDyHDx8mJqZ8mR1tRfO6fnzxTF8+XhfKhPgFvKpZjPe+OLKPbcb7ocXQwPLwuU6no0uXLuTk5DB58mTeeustFi1aRMuWLatMW4hvCMMChzH7/GxWHVvFe1veY2LniWpZQA3CagMjhBgGhEspR5pX8m+VUqbbTprCGuLi4or3hw8fbtEwpKamkpCQwKpVV3ocxcXFERUVVSkNRQYtISGBcePGlVleeHh4sREr7bwiY1lEfn5+cabHIpo1a1Zp3eUhNDS0+LMter/OglYjiOrZnMTrXmPcN+GMPD+F1lnHMC3qS0HnZ/Do8wroLMdy8/LyYt26dcyZM4du3bqxYsUKunbtWmXaQtxDmNlrJsNXDeebA99Q17suw9oPq7LyFU6ONd0c4D1gGDCsxLGBlek62XNr3bp1qV3A6jZEZomoqKhSh6wuHx6TsuwhspLDSZY0lDV/U0RkZORV52hKkpWVZfW5JblcW2xsrMU5GGuGyKzF0d8ng9EkP/lzn1z06mBpeK2WlK/7y6wPrpfy+JarXnvs2DGZn58v169fL3fs2FElenbv3i2llHLlkZWy3eJ2su3itnL5weVVUrbC9mCnIbKtUsplQojrSxxz3oUTl1GTQ8Fc7kZccjgqISGBTp2uDIg9duxYYmJiLA4DJSQklDp8BoWL/IqGzEqjaD1JWZRczCilvGJYpVOnThaH68oiPDzc4jBZWe/H1dBqBENvvo7E1jGM/+prRqR8QLP0w5g+7oepyzO49S69N9OoUSMATp8+zciRIxk2bBivvvpqpSJZt2nTBoB+TfoxIXcCUzZP4Y2NbxDoGUjPhirKcrXHGisEPGV+7FDi2EuVsWz23GqKm/LlxMbGXvLv/HLPJ0u9lyIsuSmnpKRccsyShtjY2GLPLEu9oJSUlGJ3aWt7MeV1Uy7C0udT0lW7vG7K1uBM36d8g1HO/G2XjHnlv95MzofhVvVmkpOT5X333ScHDhxYKQ1//vnnJc9nbJ8h2y5uKyO+iJA7zlRNL0lhO6hkD6ZGrOSvbiQlJRXPUURHRxfPaVx+zqBBg2jWrBlCCIQQ5Qpxsn37dhISEoiOjmbBggXExcWxbdu24p5HUlISCxYsoE+fPpdoiIyMvOJYSfR6PREREcTHx9us5xAfH1+8SHTcuHGX9KhiY2OJjo4mPj6euLg4p5mstwU6rYbR/dvTZfgcnvOZSqLpGjzTEgt7MysnQUHpUcaDg4OJi4vj448/Jjs7m8mTJ5OZmVlpTaOvH829ze8l15jLqD9GkZR65XdEUX2oESv5W7VqJffv32/xNVdcyV8VxMXFFed5d3YqspLfUTjr9ym3wMj7P++i9rYPGab9Ca2Q5Oub4X7ffGh4Q5nXpqWl8dxzz7FmzRoWLFhAv379rK53/fr1dO/e/ZJjBpOB5/98nrUn1xLsE8yXt35JPR/bRRZQVBy75IMRQrwrpTwipZwmpRzvSsYFwNfX19ESnI6tW7e6hHEBXMa4ODOeOi2v3BNOu8enE+X+LodMIbinHkZ+3A/5W9m9mVq1arF48WJiYmIYOXIkiYmJVtd7uXEBcNO4Ma3nNMLqhHE66zQj4keQlndlrhuF62PtENkgIcRTQogONlVTyHZd3QAAIABJREFUDoQQfczb1Kud6+wJq+xNamoqQUFBjpZhNVlZWY6WUG3o1rw2H77wFAuv+5R5hjsxSRCbZmOY2w2Oby7z2v79+7N//36aN2/O+++/z7Jly65aX2lBQb3cvJjdazahtUJJTE3k2T+eJdeQW6H3pHBerDUwHaWUi4A0IcRAIcRAW4q6GkKIcArX5MQD4ebnpaKiKV+KXq+3uOjSWTFZyH2iqDi1vHREP9SZJg9MY4jmHQ6ZQnBLOYz8pD/yKnMzOp0OgK5duzJp0iQiIyM5fdpy2gAoTEleGnpPPfP7zKeud10SziYwft14jCb1W61OWJsyOc38eAQQwEQhxFJrKxFChAshtls4HiqEGGvuiYwVQlgV1lZKmSCljDafnyqlVA4HCkU5ubVdfT584UmmNVnIXMNdhb2ZjbMxzu0Gx8tOu9ytWzd27txJq1at+OCDDyqsob5vfeb3mY+fzo/Vx1fzzuZ3sHZeWOH8WDsHM8/sPZZIYarkYVLKB6y8tmjBg6VeRoyUMtrcE4kDrjrcVaJcvVnL1qud6+PjY22xCifEWRKOVUfq+nkSM/RGAu96h8HybQ6aQtCmHEZ+MgBWToL80oeXPT09efvtt4mOjubff//ljjvu4OjRo5ecExFx9fnhFgEtmNlrJu4ad2IPxjJ/9/zKvi2Fk2DtEFlf4LCUsrmUcmR5JvmllPGWehhCiNDLzksC7i/xepSFrU+J81OllHFAMyFEmSvu7JGbXGE7VPvZFiEED97QiGnPPcHk+nOZY+7NsHE2pnndr9qbEULQvHlzunfvTkREBLNmzSoe1jxz5oxVGiKCI4juEY1GaJi7cy6xBy3n21G4FtYamHHmOZiqJBwL0QCKDI+UcoGFLd58ztgSRuUwUOaCivz8/CqWrrAnysDYh0ZB3nwxvCfavpO53/g2B0wN0BT1Zn6bWGZvRqfTMX78eP7++2/Wrl1Leno6JpOJEydOWF1/78a9mdR5EgBvb3qb1cdXV/o9KRyLtXMwV7iLCCGaVLLuQAvHLgLWzMPEAanmHk0zKWV0JbUoFAoKQ82M6NmMt595jJcCZjLbcDdGKWDTHOT87nBsY5nXX3vttcTFxaHX67n33nv58ssvy/UH4f5r72dk2EhM0sS4v8aRcEZNr7oyFhdaCiF6SSn/KPH8KQvXDpJS9re6IiGklFKUeB4F9JVSDipx7LC53Ep/q8zlRwHUr1+/45IlS4DCuFN+fn7s2rULgICAANq3b3/JKmU/Pz+ysrKKu/ne3t4UFBQU/1A8PDwQQpCbW+hW6ebmhqenZ3EZQgh8fX0vKcPHx4f8/Pwyy/Dw8Ch2yS0qIzMzs3jS08fHh7y8vOIc9Z6enkgpycvLAwr/Rbq7uxeXodFo8PHxuaQMX19fcnNzyyxDp9MVu3YXlZGRkVH8+fj6+pKTk1Psnefl5YXRaCzuKbq7u+Pm5lZchlarxdvb+5Iy/Pz8yM7OLi7D29sbg8FwSRlarZacnJzCoHlubnh5eTlFO73++uu8+uqrFtspMTGR1q1bc+TIkWLvqtatW2M0GilK2x0SEkKDBg3YvHlz8ecZERHBxo0bi9uhe/fuHDx4kLNnzwLQtm1b8vLyOHToEAANGzakXr16bNu2DQB/f3/Cw8NZv359cdv26NGDf/75hwsXLgAQFhZGRkZGcYSFJk2aEBgYWOxKHBAQQFhYGGvXrkVKicEE2/OD2fDXKqLd5nOt5iQSQXrrh9kVdBcm7f/bO/s4J6p7/3/O7vIMu2EXVgWtmK0LVBSMu8KKUoWgYrHlYXf93Sq118pGxFZ7kd2iAlYur21SH1otL0iQatFeuptgqbd61ayIKAXZ3RQqlqrdgBWKiJtEWVj2Kef3x8zESTKTTB4mySTn/XrNK8nMmTPfyZmZ75ynz3dI2P1UUlKCyy67DLt378Znn32GJ598Er29vVi5ciXGjx8PgOuXOXnyZKB2c+mll2LIkCE4dOgQAGDs2LGw++zY/s/tGJY3DA0XNWDx9YvR1tYWKLvp06fj2LFjOH78OADOseXn5+Pvf/87AE6J4JJLLsHevXsD1+j06dPx3nvvobubGyVXVVWVFeVECMG3v/1tHDx4EF6vF8DXuntCn1ikchKu62uvvRYulysw8q+iogKjRo1KaKKlnINpA6c/dkD0O3TU2G2xHFjCwVQDMFFK54rWecENiU6qfsS0adPogQMHJLdl6szrVBMqhJlJ9PX1BYbHphtBXkYq9AGQnddT21EPGprasOD077Es/2UUED9osR7kexuAi6+JuO+pU6fw2muvYdSoUfjud7+L3t5eReKZ/f5+/Neu/8Jbn76F84afhxdveRHnjzg/WafEUEiiM/kl1ZQlMlwa2rFPCIksmRsdFySayZLtXAAE3liyBbfbDbPZDJvNFqSU3NHRAZPJFJih73K5Ajpcra2t2Lx5s6wTaWxshNkcPIhP0PPS6XQoLi6GXq9HW1sb6urq4Ha7YbVaw9SaOzs7sWrVqqQ6q3PnzsXsYFwuF5YuXYr29uDR8W63Gw6HAwaDAS6XC3V1dYptdbvdmlE/SCYVE4rx8gOzsf7VC7BgfwUeH2TFJI8b9LlbQKbfA8xZAwyWHun3wQcfYMmSJQCA1157Dffffz+effZZXHfddRGPWZBXAMssC0xOE1yfu2BymrB13lYUDSlK+vkxVESJIiaAQtH3SwDMBjAhFlVN7lBh69pF3/Xghi0zNWUFSCkZe73eQHwTr9dLrVZrYJvdbg9SEg4lNASwlJqyEHY5Ushkp9OpKByy3W6XjWsfSqxqyk6nUzZEtDgeTKxqysL/ERpTRoxWryel7Dx8klate5X++uEf0L41OkrXFlL/r6ZSenSPZPpQNeWXXnqJjhs3jt577720p6cn6vF853x0wY4FdMrzU+gdr9xBu/u6k3EaDIUgRWrKgeHDlNMk2wnpeS1hCJMo+e9m8VBjcBI09fy6akqpSaE9MZEpzStqo9PpoNfrA8rH4hqJ0WiEy+WSDA9ss9mCYqs0NDSgoqIiLGaLwWCIGoPFaDQGQgtHoqmpSbGackFBbJG9jUajZE0jVN1Zr9ejubk58Ntms4Utwnm0tLRkXCTLdHDDpFL8+adz8I/JP8GC3sdw2H8RiPcI6HO3AP/XAPQGy/qUlpYG/V64cCEOHTqE8vJyDBo0CCdOnIh4vKIhRdho3Ijzhp+HA6cOYOXulej39yf9vBgqIed5ABQBWMQvG0XfA+sS8WypXCK9uWv1jVMuHoxOpwu8aYvjsci90VMaHhcGESJa2u32iDWY9vZ2qtPpZCNoCiip5Qj4/X7FacWE2ma322l1dXXQOqURLdvb26nT6QzUBOX+H61eT7Hi9/vpH13H6LS1f6a/evhO2reWq83QX02l9Mi7gXR9fX2yeQwMDNArr7ySLlmyhH7xxRcRj/dP7z/pNf9zDZ3y/BS6ds/auK8JRmxArRoM5eRh/grgRgBl/KewXA1AM0ODkxHHItPx+XxoaGhAXV1d4E1b/Bbf1NQkqT/mdrtRVlYW9BuQj/JYXV0d1mfR0tKClpaWwBv/kSNHZPs1XC5XIC6NzWaTrFGFkqzyk4pmWVxcrMgGg8EAo9EIj8ejKH22QwjBgivH45UHZqN1wjJ8r2cdDvu/AXiPAM/fArxaD/SewbvvviubR15eHnbv3o2SkhJcfvnl2LVrl2zaMl0ZNszZgCH5Q7D94+3YcGCDCmfFSDYR2x4opz12DyFkDqU0d2Y9PZqmjsRHY5csdzgcge8mk0nSMfh8PrhcLsmRTw6HA3V1dTEfV4zg0ATnESk/g8EQcGJy6Xw+XyCgGsBNlB08eHBQmrKysoTtjoe6urq0HDdTGacbhq13XY0X9p2H2v+7GHf3v4TlBX9CwX4r8PHrKLp4KYDrZfcfOXIknnrqKdTW1uKCCy7A559/jv7+fowbNy4s7bTSafjlrF/igV0PwPo3K8YOG4vbJilSrGKkCUWN26HOhRAyG4CH8sOYM528PKVdTdpDSVz6hoYG2O3S0hudnZ1BtQ3BQcmNmHK73bK1G4PBAIPBgIaGhoiRIpuammAyyXe36XS6oP6jrq6upMT0kaqteDyejB2erRXy8gjuvGYCrr10DP6raTTeOF6BxwdtwmTvUUzzPgKMHQCu+QlAiGweVVVVALiIo8uXL0djYyPuuusukJB9bvjGDVgzYw0e3fso1r+3HiXDSmC8mPWNZSqKe095pyLciSUAagAsU8OoZBOz2GUcNYlMJXQYsfhh6nK5UFlZGbZPfX09rFarpJNwuVwRO+dLSkqidvC7XK6oHebRwjtXVlYqcq5ihMlnoagVujnXKBs7EtuXXYMNb52HRTsvwrK87fhJwQ7AuQb44mPgO08CBYMj5lFTU4OJEyfirrvuwssvv4wdO3aEOZnF5YtxqvsUNhzYgIbdDdg0dxMqzw+/jhkZgJKOGgArAWwC0AzgF/z32Yl0/qRymTx5smwnllY7ZeU6+cXY7fagDuzQYcGhnftipIYpe73eoHVSNtjtdqrT6SilVLIj3Ov1BoZLh+YvR1dXl6J0oUj9P+IBH7EOU1aCVq+nZHPwUy+d88Qualq1hp5dM4YbAPDcdyg906lo/76+Prp//35KKaWvvPIK7e/vD9ru9/vpur3r6JTnp9Cq31fRDz0fJv0cGCp28ofgo5TeA6ABwCb+u2bItoBjbrc70EdhsVjCht8KaWpqalBWVgZCCAghUWsFYtrb2+FyuWCxWGCz2QJDn4Wah9vths1mg9FoDLKhuro6bJ0YnU6HiooKtLS0KK45xBpwrKWlJTBJtKGhIahGZbfbYbFY0NLSEpiVz0g+V1yow8v3zcQXY6tQ27sGn1MdcPQd0C1zgc6OqPsXFBSgsrIS3d3dMJvNuPbaawMyMAA3yGDV1atg/IYRp/tOY5lzGf7d9W81T4kRB5JSMWGJCLkSnFz/V4SQBymljxNCFlFKX1LfxMSZOHEiFfSFQslGaQ8lOBwO6PV6TcxMP336NEaNGpVuMxSRq9eTHDvfegsH+8ej+c192DL4cXwr7xPQYaNBbnsRmHCtojz8fj9sNhtWr16NHTt2YObMmYFtPQM9MDlNaD/ZjgmFE/DCvBegG8r61JJFolIxSmswxQDaCSGFAMYQQl4HoJnhGyzgWDitra2acC4AKz8tUzVjBn46txyPfH8u7qA/h3PAANLtBd26APjri4ryyMvLwz333IMDBw7g6quvxjvvvIPWVi7O4JD8IXh69tO4dPSlOPrVUSzfuRxn++TDCjBSi1K5/jcppZdSSr+ilP4M3BwYzYzVZPFEgvH5fCgpKUm3GYph8Xy0y7FjxwAA37niAmy9ZzYeHbYKm/tvAfH3AX9aDjjXAgqbQMePH49Bgwahs7MT8+fPR319Pc6ePYvCwYXYZNyEC0ZcgL+d+htW7l6JPj+75zOBuMbvUm7Y8ugk26Ia7AEVjE6nk5x0mamwFwTtIsjpA8CU8UX4449n4dVx92FV34/QT/OAPb8CmpeEScxEYsGCBXj//ffx6aef4vbbbwcAlA4vxaa5m1A0pAi7j+3GY3sfg5Lmf4a6SDoYQsjd0RYArHeUwWDEROmoodi2dAZ6rvgB7uxrwFd0OPCPP3NaZl9F1iULyqe0FNu2bcPvfvc7nDlzBg8//DDGkDHYMGcDhuYPxY5/7sAzf31GxTNhKEGuBnMPOHmY0REWzbSxKIk/wchchgwZkm4TGHEyceLEsHVDB+XjidqpmHVTDRb2/Ryf+EtBThwA3XwDcOJgTPkXFhbC7/fj1KlTmDJlCo7tP4Ynrn8C+SQfm9/fjN8f/n2yToURB3ITLcPiv4SShHgwKSN0ohZDW7Dy0y75+fmS6wkhMH27DN8sHYnb/zAaT/p/iatPfwj/lpuQV/1bYNItio8xatQo2Gw27Ny5EyaTCa+++irWVq3Fmr+sgXm/GSXDSnDzhJuTdUqMGJCswUg5F0LIUkLIRv77HADRB7NnCNkWcCzXEMIVM7SHeO6KFHMmn4ff3nszVo34b2wfuBZ5/d2gf/g+8JdngBj7UGbPno3Dhw/j0ksvxUcvfYQZn82An/rx0DsPYf+J/YmcBiNOFHXyE0J+wX91AYFOfiYAxGAwEqb8vFGw33c97Bc+DEtfLQgo8MYjwP/eDwzENsBDiB10/fXX4y9b/4KBLQM423kW9791PzznwmWCGOqidBRZK6V0M4A20TrNaJbnSsCxbCXWgGOMzOH8889XlK54xGC8cPcMfFnxE9zb+xOco4MA1+9AX1gEdHtjPu706dPhcrlQM7sGRfuLUF9Zj+KhYRHaGSqj1MEIQ5LFdVZtzNID6yTWOukqPyHOTSwSO4xgLrnkEsVpB+XnYf3Cy1F164/wH/1rcIoWgRzdDf/mOYrkZUIZMmQIHvv5Y9j3+32Y1D8JN910Ezo6NNOynxUodTBHCCFvAFhFCGnkZ/K7VLQrqeRCwLFEyeQgWmfOKJ8jkSxcLldA9Vn4zoidvXv3xrzPkqoJePA/v487SCMO+7+BPE8HBjbPAY7uicsGQgjKy8tx4403Yvr06XjiiSeyTp8wU1E8kx+ACVwTGQHwM0rpTjUNY8jjdrthMplACAmIUVosFphMpqAHoSBWabFYUFNTE9GJCOKZSvMW8r/qqqvUOckYkbPF7XYHxC0tFotiR2owGFBfXx8IcaAVWZ1sYeY3x2DTfQuwstCMNweuRP45L/xbvwcc+J+48svPz8eKFSuwb98+tLa2oqurK+udjM/nC4i6NjQ0pOclMh4JZgBXAliUiIxzKpdJkybJylFrVV5dSirf6/UGYsx7vV5qtVoD24RY8nKYzWbFeVPKSe23t7dHDRkgxm63h4UMUMLp06cjbo9ki9FoDHyPVZ7f6/VSu90e9N9EQ6vXk1rs27cvof2/7O6ldz77F/rsw7dxkv9rCyl1PkrpwEDCts2fP5+uXbuW9vT0JJxXLHi93pTsY7VaA/dbfX190PNAKVBTrp8QMpsXuAx1Sn8FoJkoTbkilqjT6aDX6wPS+uKokEJTj9RbjM1mixq8S5y3kF+sb/VNTU1xBfeKFs1SzpbQcAF6vR7Nzc2B3zabLWwRS/vrdDpUV1ejo6MjKDQ1QznTp09PaP/CoYOw5T9n4LOqNXi47y5OXubdJ+FvvhPoTUzUcuPGjWhvb4fBYMD+/YkNYxauH4fDEfgul06M0lYAcQhxIZ/Ro0cHwlIIWCwWlJWVwWazoa6uLnBfh0aiDd1PNaS8DoAiAP8E4AfQCaCQXzYBaOXXNSXi2VK55EoNhlJKdTpdIJCXOOBXpNpGaOAxJXkLyOUphV6vV5xWTLQajJwtdrudVldXB60T18IiYTabA29/ZrNZcS1Gq9eTWiRagxHT3PoveufDv6Bfrjmf0rWFtG/jLEq/OpFQnn6/n27bto3+6U9/ogMDA/TMmTMx7e/1emldXV3YNSV1zbS3twfdP0pbAbxeb1hewjohuJ+Y0FYCr9cbdh9I5SkFEqzByDmYRgBz+O8GcBEtXwcXzXIlgMWJHDTVS3l5uewfqNUHQqgT8Hq9tL6+XjZKpdy2jo6OsKpzLHkrcTDt7e20vr6e6vV6arVaY67uf/XVV4rShdpitVrDbiy9Xi8ZaTOUjo4O6nQ6qdPpjKlZTavXk1q89dZbSc2v9UgnrX5sC/1kdRmlawtpr2Uipf8+mJS8X3/9darX6+nOnTsV72MwGGQjt4Y+/OWuo2j3kNVqDXNggqPS6/VhTiv0/or0TIh2LybqYOQmGHgo17EPSqmLEHIVuI79iPIx2cLlv7s8Lcd9/873Y95H3HRjMpkkm6B8Ph9cLhecTqfk/nV10pEXlOStBIPBEGiukjqWz+cLawIQ09vbi8mTJ8vaqQZ6vT5wvkIUT0b6qZhQjKfu+3948PlSrPD+HJVnPsLAlpuQX/NbYOK8hPK+8cYb8etf/xo/+MEPMG/ePPzmN7/B4MGDZdNbLBYUFxdLNs/qdDr4fL7AIBG3242ysrK47Oro6Ai79oWmbpPJBKvVGrhGheMJOBwOrFq1CgA37F58Ld92221obm5W9b6SczChDfXuUOdCCJlAKT2qilVJJlobvpaJ1ncCcGGD7Xa75LbOzs6gCzLWvJXS1NQEk8kkuU2n0wX1F4Xi9/uRlxd7ZIni4uKwPiePxyN7vozkU1VVlfQ8Lxw9HFvuvRkNTSX49OP/xiK8C7rtP4Ab14FU3QckoF03f/58XHfddXjxxRcxaNAgHDt2DBdeeKFk2oaGBrS3t0tuE0ZcCtdaS0tLXCMRozmmurq6wAix0OtamMMlrA+9xwwGAxobG9PiYIpCfkuJAlUDeDy55qhDT09PTOnjqUlkKhaLBWazOfBGJb4IXS4XKisrU2KHMKdEjkiTGfv7+1FVVRWzwzMYDPB4wuVB4q2JMWLnyJEjmDRpUtLzHTGkAE/fMQO/ankST7xtwYpBDuCNRzBw6mPkz38CyI9fvaOoqAjLly8HpRQLFy5EWVkZnn76aZSWlgbSCA5EzmmEOpSOjo64asJyLQzCfazT6WA0GmGz2cJiPBmNxqgTS1UfuizVbgauc39AtIT+HgDweiJtc6lccqEPRgq73R7Udhva+SfXNqskbwEl6bxeb2CIdOggASXE2wdDKQ0amh3rMOV40Or1pBbJ7oOR4uUDx+n9jzxCu9eUULq2kPZs+Q6lZz1JyfvMmTN05cqVtLS0lL755puB9U6nU7KDXSB0QExdXZ1sf0eke0jqHg3tZ7Hb7YG+RSUDWMSIh/HL2KbKMGULgGLRMjrkdwkAzcj1ZxtutzvQZ2GxWMKG4wppampqUFZWBkIICCGKJE+U5A0gMHER4Gof4uG9oeh0OlRUVKClpUWV2kMkW+x2e2CipcPhgNXK4uRlG7dOHYcfmR7E8kHrcIoWYvC/3kGP1Qh4pK/dWBg+fDgsFgteeeUVfPOb38TJkyfx6aefQq/Xy77922w21NbWBtVYdDqdZG06Ei6XC3Pnzg1bH9oSUV1dDY/HE/c0AFWR8joALonmmZSkyZRl6tSpsh46V9847Xa7otFUmUBvb2+6TVBMrl5Pcpw8eTJ1x/qym/7o19vp4dWXcTWZ9d+g9OiepB7D4XDQMWPG0I0bN9LFixeHtQrIjTo0m82ytXconD4gIDVhsr6+PmzEpBKi7QM1ajCU0iMKHFPUNJkC9z8xxLS2tmpG/oSVn3ZJpRxLaeFQ/GbZ9/D8JCveGpiKwb0+DDx/K2ic8jJSLF68GLt27cLzzz+Ps2fPYv/+/XA4HIEJlj6fT7KWXF1dHSa1FEsrAMDVXEwmE8xmc1heJpNJsrYTCbkaUlJJxDtpZcnGPphEUDrJKlNQ2geTCeTi9RSJVPTBhOL3++nGN/9Bf/twTUBepvf1nydFXkagv78/0AKwY8cO2tfXF3WfWPr/UtHCkIp5MLGP/WRoHp1OFzbihMHIFgghuGf2RFz0/Wewzs/Jy/j2bYWv82TSjpGfnw+DwYDu7m4888wzmDFjBg4ePBhxn5qamqi1FAG1Wxh8Ph9KSkpUH7KfEw4m0mQpRubDAsZpl/Hjx6ft2MZvnYfaex9D/ZBH8Mx56zCqRFnws1gYNmwYnE4nli1bBqPRiHfeeUfeHqMRbrc76tBg4eGvJlLDmtWA0Bxo3zYYDFQunsfhw4cxefLkFFvEiIV4J1qmA3Y9BdPd3Y1hw4al1QbPmV4U5BMUDlX3ReXEiRMYO3Ys9uzZg8GDB8tOMpWaFJmpEELaKaUV8e6vjbs2QdIRsIqRPFj5aZf33nsv3SageMRg1Z0LAFxwwQUoKCjA6dOnsWjRIjzwwAOS165WnEsyyAkHw2AwGKli/vz5OHToEDweD26//fZ0m5NWcsLB5Ofnp9sERgJopXmMEU426wBGoqSkBFu3bsWLL76IM2fOoL6+Hl6vN91mpZycuHOHDx+ebhMYCZArAeOykYqKuJvvs4KRI0eCUoozZ85gypQp+OMf/5huk1JKTjgY1oavbbq6utJ6fCUSOwxp9u7dm24T0s7IkSOxYcMGbNu2DQ899BA++uijdJuUMnLCwfj9/nSbkPGorqqaAOkc6ehwOMJmTTOUE6uSeTYza9YsHDp0COXl5Vi/fj22bt2a9SoVOeFgsg232w2TyQRCCCwWC2w2GywWC0wmU9DD0OVywWKxwGKxoKamJqITEQQuleYt5K8knngqkLPF7XYHxC4tFktMjtTtdmtGToehDYT+4JtvvhlPPvkkbrnlFnzyySdptkpFEpEB0MoilmwPRavSHlKS+kKY1o6ODur1eoNE8ex2O430P4ilY6LlTanyeOJi7HZ7mDigEvx+f8TtkWwRy5HHKtcviBNGkzQXo9XrSS2USKjkKr29vXT9+vX0Zz/7WbpNkQVMKiY6uVJN1+l00Ov1cDgcaGtrC4pgZzQa4XK5JN/gbTZb1GBe4ryF/GJ9u49XTvzcuXMRt8vZEhpqQK/Xo7m5OfDbZrOFLYKUR2h4WUZ85FJ/Q6wMGjQIDz30EBobG3H48GHccMMN+PDDD9NtVlKRi2iZVfT19aXbhJQhNOsYjcagMMnCw1ZqkpdUzO9IeceLy+WKa//+/v64jyd1vm63G3q9PuI5FxcXo6WlBT6fDx6PJ27bc53PP/8c3/rWt9JtRsZTXl6ORYsWYebMmXjwwQexYsWKrJBIygkHEyuHJ6VH6mPyPw7Hva/P5wvE1xbevMUPxKamJkntoWgxv+XyjgWXy4WmpiYAXwdjSsVsZqkAT8XFxYr6YYT/TpBgZzDUJD8/Hz/+8Y9x6623YvXq1Th79ixGjBiBggJtP6K1bb1C0q2FpCZCkxXAxYSQaoLy+XxwuVxwOp2S+8u9ySvJWwkGgyFQg5I6luDA5BgYGEB5ebmiWlayqaurS8txs4UpU6ak2wSMc04jAAAMP0lEQVRNMWHCBLzwwgsAgFtvvRVXXHEFVq9ejaFDh6bZsvjICQdDYxwKmEhNItVE6zsBuHkc4uYyMZ2dnbK1CSV5K6WpqQkmk0lym06nC+ovCqW3tzcuRWyp2orH48kpLah0kyv9n2qwefNmLF++HNOmTcNzzz0nK56ZyeSEg4nWSZzNWCwWmM1m6HS6MBVXl8uFysrKlNjhcrkiNq9FmszY29uLmTNnxuzwDAaDZDNZxsUtz2I+/vjjtEr2a5nzzz8f27dvx/bt2+HxeDAwMIDu7m5Nye/khIPJVRwOB6qrqwNOpaWlJegh3dTUFLHmkCzEjk1udFYkO06fPo1Ro0bFfNxQR+J2u1FbWxtzPgxGOlm8eDEAwOl0YunSpbBarbjpppvSbJUycmKYcrYFHHO73YE+C4vFEjYcV0hTU1ODsrIyEEJACFEkeaIkbyC2eOI6nQ4VFRVoaWmJq/YQbTRNJFvsdntgoqXD4ZCMl85Qj4suuijdJmQNc+fOhc1mg8lkwg9/+EP09vam26SosIBjORogyuFwQK/Xa2Lo7cDAgGYUsXP1epKjq6tLU006WqCrqwvbtm3D3XffjX/961+4+OKLVTsWCzimACZ2GY7aMb+TydmzZ9NtAiNO2tra0m1C1jFy5EgsXboUAFBbW4vFixfjxIkTabZKmpxwMIxgUhHzm8FgqAshBG+//TYmTZqEqVOnSk5DSDc54WC00rySKnQ6neSky0yFBRzTLoWFhek2IasZOnQo1q9fjzfeeAOTJk3CZ599hqNHj6bbrAA5ceeygGPahgUc0y5aaYbVOtOmTcNFF12EvXv3oqKiAk8//TQGBgbSbVZuOJh0B6xiJMbp06fTbQIjTt599910m5BTLFy4EHv27IHdbse8efPSHm8mJxxMuv9kBiNXiVeolBE/EydOxNtvv43HH38chBA4HI60Cf7mhIOJBot4yUgG7DpiZAp5eXm44oorcO7cOWzZsgWVlZVpicyaEw4m0izwESNG4Pjx4+jt7WU1nQwl0+dRUErR29uL48ePs/6iEGbNmpVuE3KaoUOH4tVXX8WKFSswb9487N69O6XHz4mJlpdddhn94IMPJLf5/X588cUX+PLLL1l1PkOJV+wylRQUFKCoqAhjxoxho95EvP/++7j88svTbQYDXGye4uJi7N69GwUFBYqcf6ITLTWrRUYI0VNK3cJnpLSRHEdeXh5KS0tRWlqadBsZyWHXrl24/vrr020GIw46OzvTbQKDR3jG9fT0YMmSJViwYAEaGxtVHUqu5VctOyHECYCNg2QwGAyFzJs3D4cOHUJPTw/uuOMOVY+VEgdDCDEQQtol1usJIfWEECP/GUugjkYAJkqpI1pCNg9G20ydOjXdJjDihJVdZjJ69Gg8++yz+MMf/oCuri789Kc/VaW2qbqDIYQI2uxSNQ0rpdRCKW0B4AAQi3a8HoCHEBJVHjcTJhwx4ofNg9EurOwym+HDh4MQAoCLPtrc3JzUwU6qOxhKaQulNGx8HCFEH5LODaBWtL1OYjGK0lsopT4A7YSQiJGoWFQ9bSMXMoCR+bCyy3xGjBiBp556Ci+99BLWrVuHjz76KGl5p7OT3wDAF7pS6LSnlNrkdiSE1AFoEzmuYpVsZDAYjJygqqoKBw8eRF5eHh577DGMGzcu4TzT6WCknIIHgJJ+mGYAer7mUkYpDYukxTuhOv5nDyHkUNyWJo8iAF+mOa9Y9lOSNlKaeLZJrR8D4IsodqhNMssukfwyofy0VnZAZpRfKssu0vZY1k+MYkNkKKUpWbhDBf2uA2APWdcBwKDCsdtSdZ5R7LClO69Y9lOSNlKaeLZJrc+E8ktm2Wm9/LRWdplSfqksu0wpv3QOU5aqrRRDotksi/jfDMgrlv2UpI2UJp5tyfyPkkmy7dJy+Wmt7IDMKL9Ull2k7Skrv5TN5CeEUEopEf3Wg6vBXCVa56WUjlbh2G00gdmojPTCyk+7sLLTNomWX9pqMDRk9j3vcJpVOpzsgAGGJmDlp11Y2WmbhMpP9RoMP7TYAG6OiwWAk3LzXgSnUg3ABa7vxaKqMcF21QFwA9DTCCPWGJkHPyG3lpWb9uDLrgJc83glgEbKTTdgaATRdJG5VGKAVVDaVDWRZRLCvBlKqUNwNILTY2Q+hBADgM3i5lWGNuDvNw9/75kBdLAXBe3A33tGSqmFl+pqoBLzHAW0rEUWIA4pmkp8PZjADWBuqmxlBBOPjBB/QXtSaihDkljLj1Jqo1/LO+nB3X+MNBFH+bl456ID4IvkXAANqykL8NU1D+SlaOby6dzgmulM4Krn4gdULBpojCQRZ9kxMoREyk/0wGItB2ki3vLjy84IoDXaMTRfg6HxSdH4EDzRk7UBp4E4y46RISRYfqsopTVq2seITLzlRyn18bXQsmgyXZp3MBGQlaIB53mFWosegDOFdjGiE6nsGJlPxPLjH0qN/HdjaDpG2pEtP765THAqHeCen7Jks4ORlaLhvW+xcHGzanrGEVFGiC+3imhvT4y0IVt+fNmZAbwp1fbPyAgi3X8OAD6+HMuijfzVfB9MvLCRK9qFfyFI+oRchvrwZVeWbjsY8cE3lwkDM6K+mGdzDSYXpWiyBVZ22oaVn7ZJWvlls4NxQaKqF6ogwMhIWNlpG1Z+2iZp5Ze1DibFUjSMJMLKTtuw8tM2ySw/zffBiKRowM8Mdoo67WsIIfX4WoqGzaPIIFjZaRtWftomFeWXk1IxDAaDwVCfrG0iYzAYDEZ6YQ6GwWAwGKrAHAyDwWAwVIE5GAaDwWCoAnMwDAaDwVAF5mAYDEbCiOP1MBgCzMEwVIFXXjUTQqhYlJJfbyeEtCdbSZcPjtSRThFM/pzr+DkEStIb+P+iTm3bVGZVpI2Rypv/v7zMSWUfzMEwVIGfDdwIwAJgs3g9HwekMdkq1nx+aVPGFjm2ZiiM1MjH48goNe84H/SdUbYvlStvXniWychkIczBMNSmCUALIcQasl4t4cN0CirqAbSKAjIpJdrDOWXwsiAx1Sz52lfE840WWpeRnTAHw0gFSwHUEkKkQrMyMouGOPYpY0KWDCk0r0XGyHwopT5CSAO4prKrxNt4p7MZXAxwG9/MtBnAHEqpS7wdXDOKHlw8ESs4SXEjAF9IfJ9KQohQkzGIgyLx/QB6cJLklZTSBn6dFVwgLACYKxfOl7enQmRLC6XUza+fCy4YU7FUvCGpY8scQ8rGmP6HGPK4StCZEu0zlxBSjK8FDmv59DoA+pD/Uw8usqHwWxeaHlwTYKCMRf+jEZzWlQ4h8vBK/ytGhkMpZQtbVFnAPTQMot/tAOr570bRejOAOtFvZ8h+ZnAPJ3E+1aLf3gh5GQHY+e96cIJ+wrY6IS24h66V/26QOZ+g/QVbRN/rxceOtG/IsetF3yOlU/Q/xJGHXvTbGpJnfUhZVIecVz24KLER04eco078v/HrOoR8ItnPFm0trAbDSCU1ANoJIaHt9dH6IDoheksG91YbqUnGI/reBs5hAUA1uBqGuKlOqFH5hGNQ+f6CalFegWMRQow0+oCFSMdWmk7p/xBrHpE69R0AnIQQN7iHfmiI3BJKqS+G9ABXw2kLWSfOQ+l/xchwmINhpAzKNSXZENwcpfYxfYQQ4WcJALfIgYQ6Eg8iU5KAKdGOHWu6ZBwrInzzl4dSWsY/7G8jhNgp33zIr2sN2U02fartZ6Qf1snPUBOpqHgN4JpAQhG/RVck67h8W77QH9IEPv5FyHalWEP3B1CsoPYSy7ETtTHRPMQ1CT34+S2UUhcN7we5jYaPlouUXqAZ4WUsLv9k/AeMDIDFg2GoAv/2awb34GgQNzsJDwvhwcx3DJsB2PkkDeAedEvBPeQ2g6tdNIh+N/O/a8E9+BsopRZ+yKzQbCTVKS0EWRI6l1tEebrB9U/IOgxR57Obz8dBv+7kF+w0S+UR5dgeACY+r2jplPwPMefB1/b0/DYnv2+16P/0AUHlZg51IvwE06D0/PGkzlEPrqmsmLe9RWRHmP0hTXEMDcAcDIPBiBl+tJ+4GYvBCIM1kTEYjHioZM6FEQ3mYBgMRkzwTZoZoz7AyFxYExmDwWAwVIHVYBgMBoOhCszBMBgMBkMVmINhMBgMhiowB8NgMBgMVWAOhsFgMBiqwBwMg8FgMFSBORgGg8FgqML/B8xPuUa4pXMhAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "labels = [r\"P2/CR $t=10^{-3}$\", r\"P2/CR $t=10^{-4}$\",\n", " r\"P2/P1 $t=10^{-3}$\", r\"P2/P1 $t=10^{-4}$\"]\n", "for mesh_type in [\"crossed\", \"left\"]:\n", " data = np.loadtxt(\"reissner_mindlin_CR_{}.csv\".format(mesh_type),\n", " delimiter=\",\", skiprows=1)\n", " N = data[:, 0]\n", " res = np.abs(data[:, 1:]/w_LK-1)\n", " for (i, label) in enumerate(labels):\n", " plt.loglog(N, res[:, i], label=label)\n", " plt.loglog([1, 1e3], [1e1, 1e-5], \"--k\", linewidth=1)\n", " plt.annotate(\"$O(1/N^2$)\", xy=[3e2, 1e-4], fontsize=14)\n", " plt.legend()\n", " plt.ylim(1e-5, 1e1)\n", " plt.title(\"\\\"{}\\\" mesh\".format(mesh_type), fontsize=16)\n", " plt.xlabel(\"Number of elements/side\")\n", " plt.ylabel(\"Relative error with $w_{LK}$\")\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the `P2/P1` discretization locks in the thin plate limit for the `\"left\"`, whereas locking does not appear for the `\"crossed\"` mesh. On the contrary the `P2/CR` discretization does not lock and exhibits the same quadratic convergence for both types of mesh.\n", "\n", "## References\n", "\n", "[ARN89] Arnold, D. N., & Falk, R. S. (1989). A uniformly accurate finite element method for the Reissner–Mindlin plate. SIAM Journal on Numerical Analysis, 26(6), 1276-1290.\n", "\n", "[CAM03] Campello, E. M. B., Pimenta, P. M., & Wriggers, P. (2003). A triangular finite shell element based on a fully nonlinear shell formulation. Computational Mechanics, 31(6), 505-518." ] } ], "metadata": { "celltoolbar": "Format de la Cellule Texte Brut", "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": "3.8.10" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }