{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [], "source": [ "from em_examples.DCWidgetResLayer2_5D import *\n", "from IPython.display import display\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Effects of a highly resisitive surface layer" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Purpose \n", "\n", "For a direct current resistivity (DCR) survey, currents are injected to the earth, and flow. \n", "Depending upon the conductivity contrast current flow in the earth will be distorted, and these changes \n", "can be measurable on the sufurface electrodes. \n", "Here, we focus on a cylinder target embedded in a halfspace below a highly resistive surface layer, and investigate what are happening in the earth when static currents are injected. Different from a sphere case, which is a finite target, the resistive layer will also impact the illumination of the target (conductor or resistor).\n", "By investigating changes in currents, electric fields, potential, and charges upon different geometry, Tx and Rx location, we understand geometric effects of the resistive layer for DCR survey. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Question\n", "\n", "- How does the cylinder affect the apparent resistivity without the resistive layer?\n", "- How does the resistive layer affect the apparent resistivity? Is there a difference if you add or remove the cylinder target?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plate model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " - **survey**: Type of survey\n", " - **A**: Electrode A (+) location\n", " - **B**: Electrode B (-) location\n", " - **M**: Electrode A (+) location\n", " - **N**: Electrode B (-) location\n", " - **$dz_{layer}$**: thickness of the resistive layer\n", " - **$zc_{ayer}$**: z location of the resistive layer\n", " - **xc**: x location of cylinder center\n", " - **zc**: z location of cylinder center\n", " - **$\\rho_{1}$**: Resistivity of the half-space\n", " - **$\\rho_{2}$**: Resistivity of the layer\n", " - **$\\rho_{3}$**: Resistivity of the cylinder\n", " - **Field**: Field to visualize\n", " - **Type**: which part of the field\n", " - **Scale**: Linear or Log Scale visualization\n", " \n", "### **Do not forget to hit Run PLOT to update the figure after you made modifications**" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LJEkZrgxNHzm90z7r8lMulyPdoUhdpFVYBgAAAAAAOldbO66ikiY3\nBVQPWWs/ttZGDhxkrY003fu1tfZMSZM7tFqgyb8L/60KX4Uk6fyR53fKNsFmF425SN7xXoWKQ1q0\ncRFPFwQAAAAAoIu0Kbiy1l5vrW33I9Wsteustde3vyzgyBZt/Pyg9EvGdezTBA/Uu0dvTb9oujxj\nPCqqLNKG0g2d+nkAAAAAAKBRe864ut0Y06cziwHaIhKNaMmmxm2CHqdH5488v9M/M/YMrdjQDAAA\nAAAAdJ42B1eSHpG02xizyBhzfdPTBYEu917Re9rv2y9Jmj5yunq4e3T6Z1405iI5TOO/LmwXBAAA\nAACga7QnuLpQ0jOSpjb9vtcY81djzCxjTHvmAY7Loo2LFKmLKFwZ7rSnCR6ob2ZfnT70dEnSzoqd\n2lS2qUs+FwAAAACA7qzNgZO19k1r7Vcl5Uu6RtIbkq6WtFjSHmPMI8aY0zunTKBR8zZB/3q/HFWO\nLtkm2Gz22JjtghvYLggAAAAAQGdrd6eUtbbBWvuStfZqSXmSvibpI0m3SVppjNlujPmJMWZ0B9cK\naNVnq7Svfp8adjZo1oxZykzP7LLPvmjsRTIyktguCAAAAABAVziuLX7W2lpr7Z+ttTMkDZL0LUkV\nku6WxKPX0OEWb1yscGVYaT3TdNmEy7r0s/N65mnKkCmSpE/3f6ot+7Z06ecDAAAAANDddOTZVAMl\nDZE0QJKRFOrAuQFFbVSvbnpVgU0B9Typpy4YdUGX1zB73GyFK8OKBqJavHFxl38+AAAAAADdyXEF\nV8aYEcaYHxljNkn6QI0dV9slzZXUvwPqA1p8uOtD7a3bq4YdDZo5Y6Z6pvfs8houGnuRgruCCmwK\naNFGzrkCAAAAAKAztTu4MsbkG2O+aYxZJWmLpHvU2F31fUkF1tpp1tonrbVVHVsqursF6xYoXBWW\nI9Ohy07q2m2Czfpn9deZ089UYEtAW/dt1Ue7P4pLHQAAAAAAdAdtDq6MMTcbY96StEvSQ2p8uuCv\nJJ1srZ1grf2ltXZXJ9WJbm5N8Rr9be3fFNgUUPZJ2Zo5embcarn2tGslI0X9Uf1wyQ8VtdG41QIA\nAAAAQCprT8fVk5ImSZov6TxJQ621d1lrP+6MwoBmoUhI3130XVlZyUg//NoPleXJils910+8XsO/\nMFx1/67TmuI1enr103GrBQAAAACAVNae4OpqSXnW2luste9Ya21nFQXE+tP7f9KmvZskSadfcbpu\nPfvWuNaT7kzXH773B4X3hxXaF9Iv3vqFyurK4loTAAAAAACpqM3BlbV2obU22JnFAAcqrirWr5b9\nSpJkZPTA7AfkdDjjXJV0VsFZuuGbN6jmjRpVB6p1z+v3xLskAAAAAABSTpuCK2PMRmPMTcYYd1sn\nNsakG2O+aozZeOzloTuz1uqHS34of8gvSfrKaV/RqQNPjXNVn3vwhgeVPSpb/nV+vfLJK3rn03fi\nXRIAAAAAACmlrR1X89V4IPteY8xTxpgbjTHjjTHe5gHGmB7GmBONMXOMMU9LKpP0y6b3Au22ZPMS\nvbX1LUlSXmae7pp+V5wrai3Xm6uHfvyQ3EMa89zvL/5+S8gGAAAAAACOX5uCK2vtLyUNk/QTSSdL\nekrSR5JqjTENxpgGSTWS1kv6v5ImSPqxpOFN7wXapbahVv+z5H9afv7JrJ/E9UD2w7l+8vU6e+LZ\nkqSiyiI9svyROFcEAAAAAEDqaPNhQdbaWkkPS3rYGFMg6SxJYyT1bhqyX9JmSf+21u7s2DLR3Ty4\n9EGV1pZKkqaPnK7Z42bHuaJDM8bo/kvu14zHZygUDen3K36vK0+6UqP6jop3aQAAAAAAJL1jOuXa\nWlsoqbBDKwGavLHlDf35gz8rWBxUj749dN/F98kYE++yDmtk35G6beptemT5IwpFQ/rW37+l5296\nXpnpmfEuDQAAAACApNbmpwoCXWHJpiWau2Cuwg1h1bxVozun36nB2YPjXdZRfeOcb6ggp0CStG73\nOt3w9A2qbaiNb1EAAAAAACQ5giskjEUbF+m/XvwvBYNBVf29ShfNuUjfmP6NeJfVJhmuDD1xzRPK\n9mRLklYXr9b1f71eNYGaOFcGAAAAAEDyIrhCQnjlk1c078V5CjWEVPlipWZeNVMv/c9LSnOkxbu0\nNjux/4l6/ivPKycjR5GaiNaWrNX1f71eVf6qeJcGAAAAAEBSIrhC3L300Uu6/eXbW0Kri790sV7+\nyctJFVo1OzH/RD1/0/MKvB2Qf6Nf63av03V/vU6V/sp4lwYAAAAAQNIhuELcWGv19OqndefCOxVu\nCKvyxUpd9uXL9MKPX0jK0KrZ+PzxWv7P5bLbrPyf+PXxno/1pb98Sfvq9sW7NAAAAAAAkgrBFeJi\nb+1e3fz8zbpr0V2ysqp7t05fvPmLeu6Hz8lhkv8fy5MGnqQVi1dIOyTfRz5tKN2g6b+frn9s+Ies\ntfEuDwAAAACApNApCYExZogxJqsz5kZys9bqhfUv6LzHztMbW95ouf6t731Lf/3uX1MitGo2rv84\n/fvVfyttV5rqV9drf/1+3fbibZr7wly6rwAAAAAAaIPOSgkKJe02xtxvjMntpM9AktlTs0c3PXeT\nvvn3b6o6UC1J6tOjj/547R/104t+KmNMnCvseKPzRuuTNz/RiIwRqnyhUpHaiF7d9KrOe+w8vfLJ\nK3RfAQAAAABwBJ0VXP1F0hJJcyTt6KTPQJKoCdTof9/9X01/bLqWblvacv2qk67S2/Pe1sVjL45j\ndZ0vv1e+PvjbB/rlz3+p9P3pkqRKf6XmvTRPNz9/szbt3RTnCgEAAAAASEzOzpjUWjun+bUxZlxn\nfAYSX3l9uZ5870k99cFTqmmoabmel5mn+2ffr5mjZ8axuq5ljNEdV9yh62dcrx+++kMt2rhIkvTG\nljf0xpY3NHP0TN1x9h2aOGhinCsFAAAAACBxdEpwFctau7GzPwOJpaS6RI+vfFzPrnlWgXBA1loF\nC4MKl4V1860360czf6TsjOx4lxkXfXr00RPXPKF/bvin7l5yt8rryyV9HmBNHTZVd5x9h84ednZK\nbp0EAAAAAKA9Oj24QvdQ21CrJZuW6OWPX9aKnSsUtVHZqFVga0D+D/065dRT9NuHfqspY6bEu9SE\ncOn4S3XBqAv07Jpn9fuVv9eemj2SpBU7V2jFzhUa22+srp5wta446Qr1z+of52oBAAAAAIiPNgVX\nxpidktp7irS11g5vf0lIFsFIUMu2L9PCjxfqjS1vKBAOSJJsxMr/iV8NHzXorHPP0qNvP6rRg0bH\nudrEk+HK0H+e/p+6cfKNemn9S/rF07/Qjvd3KPPMTG3SJv3srZ/p52/9XFOHTdVVE67SxWMvVs/0\nnvEuGwAAAACALtPWjqt31P7gCimoqLJIy7Yv07JPl2nFzhWqD9a33LNRq5rXa+SscuqCiy/Qb//4\nWw3sPTCO1SYHd5pb10+8Xteecq0efOZBPfLII6oMVMoz3iPPSI/e3fmu3t35rn6w+Ac6q+AsnTfi\nPE0bMU3DcoexnRAAAAAAkNLaFFzFHraO7qWkukSri1fr/aL3tezTZSqsKDzkuJyMHF02/jJNmTFF\nl0+9nEDlGKQ50vS9G7+n7934Pa3avEq/eOwXWvbSMgW9QWVMyJAdbLV0+1It3d74ZMahOUN13ojz\n9IUTvqDThpymXG9unL8B0PE+/PBDzZ8/X8uWLVNhYaF69+6tM844Qz/72c80cuTIo75/9erV+vGP\nf6zVq1errq5OJ5xwgr72ta/p61//uhyOznqw7qFt3rxZ3/zmN7VixQq53W5dcskleuihh9SnT5+D\nxv7pT3/Sr3/9a+3cuVODBw/WN77xDd1+++1dWi8AAACQCDjjCi3qg/XauHej1hSv0eri1Vq9a7VK\na0sPO763t7fOHXGuLht/maYNnyZXmqsLq01tU8ZM0cJHFspaq7+/+3c99PuHVPxpsYIjgy1jiiqL\nNP+D+Zr/wXxJ0gm9T9DkwZM1edBkTR48WSP7jpTDdO1fzIGO9sADD2jlypW65pprNGHCBJWWlup3\nv/udJk6cqPfff1/jxh3+wbVr1qzR1KlTNWrUKH3ve9+T1+vVkiVLdOedd2rHjh36zW9+02Xfo6Sk\nROecc45ycnJ0//33q7a2Vg8++KA++eQTrVq1Sk7n5/85fuKJJ3Tbbbfpmmuu0Xe+8x0tX75c3/jG\nN+T3+/Xf//3fXVYzAAAAkAiOK7gyxrgkjZHUS9JBf0O21v6/45kfnSMSjai4ulhbyrZoQ+kGbdy7\nURv3blRRRZHsATtCbcgquDuo4K6gwrvCmj5vumaeOlPnjThP4/PHE4x0MmOMrjznSl15zpWy1mpT\n2SYt275Mb29/Wx989oFC0VDL2B37d2jH/h1asG6BJMnr8mps3liNzx/f8mtMvzHKcGXE6+sA7fad\n73xHzz33XKtg59prr9VJJ52k+++/X3/5y18O+97HH39cxhgtX75cvXr1kiTdcsstmjZtmubPn99h\nwZXD4dD8+fN10003HXbMz3/+c/n9fq1bt04DBzZuoT7ttNM0Y8YMzZ8/X1/72tckSYFAQHfffbcu\nvfRSPf/885Kk//zP/1QkEtG9996ruXPntnwXAAAAoDs4puDKGOOQ9AtJ8yR5jzA07Vjmx/ELR8Pa\nW7tXxVXF+qzqM31a/qk+3f+pduzfoZ37d6oh0nDQe6y1ilREFCwJKlQckq2yysnK0eQJkzXjphm6\n6bKb1LdX3zh8G0iNIda4vHEalzdO86bOU11DnVbsXKH3P3tfH+76UO+9+Z58RT65B7vlHuyWL8vX\n2DlXvPrzOWQ0JGeIhvcZrhG9R2hEn8Zfw/sMV29vb7Z4IuGcccYZB10bMWKExo8fr02bNh3xvbW1\ntfJ4PAcFPfn5+dq6detB459++mk9/PDD2rhxozIyMjRz5kw9+OCDGjRo0PF9CUkvv/yyZs+e3RJa\nSdL555+vUaNGacGCBS3B1dtvv62KigrNmzev1fu//vWv65lnntHixYt1ww03HHc9QGdbunSpnnnm\nGb377rsqLi5Wfn6+pk+frnvvvVf5+fltmuOtt97Sfffdp48//ljhcFijRo3SHXfcoS9/+cudXP3B\nVq5cqe9+97tau3atsrKydO211+q+++5Tjx49Wo2z1urBBx/U448/rj179mjUqFH6/ve/r+uuu67L\nawYAIFUca8fVDyT9t6QnJL0r6a+S7pJUpcYwy0r6bkcUiEMLhAMqqS5RSVWJiquLVVxVrOLqYpVU\nl6i4qlh7avYoYiNtns/j9GhU71EqW1OmyZMn64r/c4VmTJkhZxq7SRNVZnqmLhxzoS4cc6EkyXej\nT/9c/k8temuRVr2/SmV7y+QP++Xs45Qr3yX3ALecfZwqqixSUWWRlm5b2mo+j9OjwdmDNTh7sAZl\nD2r1++DswQRbSCh79+7ViSeeeMQx06ZN04IFCzR37lx9+9vfltfr1auvvqq///3v+tWvftVq7M9/\n/nP96Ec/0nXXXadbbrlF+/bt0yOPPKJzzz235S+qx2r37t0qK2v839YDTZkyRUuWLGn5ee3atZKk\nSZMmtRo3adIkORwOrV27luAKSeGuu+5SZWWlrrnmGo0cOVI7duzQ7373Oy1evFjr1q1Tv379jvj+\nf/zjH7ryyit11lln6Sc/+YmMMVqwYIFuuukm7d+/X3feeWcXfRNp3bp1uuCCCzRu3Dj95je/UXFx\nsR588EFt375dixcvbjX2Bz/4gR544AHdeuutmjx5sl555RXdcMMNcjgcuvbaa7usZgAAUsmxphJz\nJC2w1t5mjOnddG21tXapMeYpSf+WNF3SWx1QY7cRiUZU4atQWV2ZyuvLG3+vK2/9c9PvFb6KI85l\nrVW0PqpIdUSRqojC+8OSkXpP662C3AIN7z1cw/sM17i8cfr/7N15fJTV3f//15ktM9knEMJO2BSh\nImpdqYgboOJS69LWX9Vq1dtKa6u2tliXutV6e+vX1qVatdhF69LWXawIiAsuCOICoij7EpYkZJlk\n1vP7Y5JhQvYQMpPh/Xw85jHXcq5rzmTQJO+c8znj+o9jeNFwnA4n/E8PvVnpdtmebM457hzOOe6c\nxLHt1dv577v/Zd7CeayvXA8DYeW2lU1Wg2xUH6nny21f8uW2L1u8v9flTQRZJbklFOcWU5LX8Nyw\n3y+3H9metgZhiuy+v//972zYsIFbbrmlzXYXX3wxn332GQ8++CAPP/wwAC6Xi3vvvZdLLrkk0W7t\n2rXceOON3HbbbVxzzTWJ42eccQYTJkzg/vvv51e/+lWX+7tp0yYABgwY0OzcgAEDKC8vJxwO43a7\n2bRpE06ns1nBdrfbTZ8+fdi4cWOX+yHSk+6++26+9a1vNTk2depUjj76aO69915uuummNq+/7777\nGDhwIPPmzUtMFb7kkksYM2YMs2bN6pbgas2aNQwfPpz58+czadKkVtvNnDmToqIi3njjjcQIq2HD\nhnHJJZcwZ84cjj/+eCAeUt9111385Cc/4Z577gHiU32PPvpofvGLX3DWWWfpD0AiIiJd0NXgajBw\nR8N245wzL4C1NmSM+TtwJfGRWXudmI1RE6yhOlhNRaCCiroKKusqE8/J2xWBnefKA+XEbKzLr1u3\nrI7ARwHcTjdelxd/Hz8DBg+gdHQpB377QCZ9cxLjR47H5dAoqr1Fn7w+fO+E7/G9E76XOGatZXP1\nZlZuW8lX277iy21fsqZiDau3rGbJg0uIEcOR68BZ6MRZ4MRZ6MRV4KIur46V21ayctvKNl8z15Ob\nCLH65fWjb3Zf/Nl+irKL8Pv8zbaz3dn6QV467PPPP2fGjBlMnDixzZpSEK89NXLkSKZNm8bZZ59N\nVlYWTzzxBDNmzKB///6ceuqpAPzrX//CWstZZ53F9u3bE9f369eP0aNHM2/evERwVVdXRyAQSLSx\nNl4XsKampsm1TqeTwsLCxDUAWVlZzfro9XoTbdxuN3V1dXg8nhbfj9frTdxLJN3tGloBHHXUURQV\nFbU7zRegqqoKv9/fpL5dY6i76/cMay333HMPDz/8MF999RUFBQWcfvrp3H777Yn/DlvT3vef6upq\n5syZw1VXXdVkWuB5553Hz3/+c5566qlEcPXss88SiUS47LLLmtzjsssu49xzz2XhwoUceeSR7b53\nERERaaqrCcZ2IBfAWltjjKkCRuzSxr87HestZr48E/cSN9X11VQHq6kJ1lATqunSvWzYEq2NEquJ\nxUdLJW3HamPkHp1L3oA8+ub0pSSvhMGFgxlcMJhBBYMYXDiYft5+lBaXkufN6+Z3mSG2boVdpyZs\n2QUBq6oAACAASURBVJKavqSQMYYB+QMYkD+Ao0Yc1eSc/ZmlrKqMJV8sYennS1mxcgWrVq9i49KN\nlG8tx3esj5i/9XDVhi3V0WpqQjWsKl/Vof5kObPwZ/vx+/wUZheSn5VPvjef/Kx88rx55GXlke/N\nb/bcuO11eRV87SXKyso4+eST8fv9PP300+1+7rfffjt//OMf+fLLL8nOjo8EPPPMMzn22GO5/PLL\nmT59Og6Hg5UrVxKLxRg1alSzexhjmgRJd9xxB7/97W+btZsxYwYzZsxI7JeWlvL1118D4PPFF0QI\nBpvXFqyvr2/SxufzEQqFmrVrbNvYTqQ3qq2tpaamptmIwpZMnjyZO+64g+uvv57zzz8fYwz/+Mc/\n+PDDD3n66aebtL3kkkv461//yoUXXsgVV1zBqlWr+OMf/8hHH33E22+/jdPZesnVxvC5NY31tXad\nvut2u5kwYUJiei/EpxTm5OQwZsyYJm0PPfRQrLUsWbJEwZWIiEgXdDW4WgIckrQ/D/iZMWYJ8dUF\nfwos3c2+9QofrvsQTzT+S421FiIQC8awIUusPoatt8TqYjjyHGQNbf7XdoAcTw655LLphU34i/z0\nLe5Lv/79GDRgEEMHDmXE0BGMHjqa0pJS8rLy9Eu67DHGGPoX9OfEQ07kxENObHbeWkt5oJyymjK2\n1mxlS80WtlRvYUvNFrbWbuWjNz7iize+IBgOEo7GVzw0boMj24HD58BV5CJ7QtOphMFokM3Vm9lc\nvblLfXY73OR588jZmMP/W/v/yMvKI8eTk3hke7J3bruzm+w3nk8+5nP7tFpmD7PWtvv/taqqKqZN\nm0ZVVRVvvfVWh4o7P/DAAxx77LGJ0KrRqaeeylVXXcXq1asZMWIEsVgMh8PB7NmzcTiaf/a5ubmJ\n7fPPP5+jjmoa+B5//PFcc801nHDCCYljyQFT4xTBximDyTZt2kRRURFutzvRNhqNsm3btia/3IfD\nYbZv387AgQPbfd8i6eruu+8mHA53qFD59ddfz6pVq7j11lsT04JzcnL417/+xSmnnJJo99Zbb/HI\nI4/wxBNPcM45O6fKH3PMMUydOpWnn356twqjb9q0Kf4Hn1am+r711ltN2paUlLTYDtBUXxERkS7q\nanD1EHCBMSbLWhsErgUWNDwMUAF8r43r05Ix5nLgaqA/8eDtJ9baDzpybf2b9UQ3RXFnufFme8nO\nySYnLwe/309R/yJGjxnN+Anj46NKfIX4s+PPhb5CPM6Gv+b/ek+9M5HuYYyhT04f+uT0geY/m8N3\ndm7Whesoqy5j4/aNrN20lnWb1lEZqCR/WH5iCm15oJyKuor4fqCCYDRI5fOVRGviCws4PA5MlsFk\nGRxZDozXkDUsC3d/d+J1wrEw5YFyArUB1m1a1y3v0+f24XP78Lq8eN3eVre9rlb2d9n2uXyJa7Nc\nWWS5svA4PYlnp2PvW4C1urqaa6+9lhdeeCFR3+nwww9n4sSJ5OU1HTUaDAaZPn06K1eu5PXXX2ff\nffft0GuUlZURjTZfpCIcjoeqkUgEgJEjR2KtpbS0tMVRV8lKS0spLS1tdny//fbj2GOPbfGagQMH\nUlxczKJFi5qde//995kwYUJif8KECVhrWbRoEdOmTUsc/+CDD4jFYk3aivQmCxYs4KabbuKcc87h\n6KOPbre9x+Nhn3324ayzzuKMM84gGo3y0EMPce655zJnzhwOPfRQAJ555hkKCws57rjjmkzXPfDA\nA8nNzWXevHmJ4Kq2tjYxyhGgvDxeL3THjh1NrnW73YkFGdqb6ps8fbeurq7dKcEiIiLSeV0Krqy1\nzwPPJ+0vM8aMBCYDUeAda23b1cPTjDHmHOD/gEuA94GfA68aY/ax1m5r7bp/XfAvJh42ca/8xVOk\nLT63j9KiUkqLSjlydPtTI6y11EfqqbqyiupgNTvqdrClfAubyzezrXwb2yu2s71iO54+HlxFLqrq\nq6iur6YqGH+u3VpL2ISp31JP1WtVze5vHAbjNhiPIf+EfBze1kdVVW+tpqq+CuMy4ALjMokHzvZr\nonSW0zjjIZbLQ5Yz/twYbDWGWy0eazjudXlbb9NwzO1043a448/Jj3aO7YnRZ9XV1RxxxBEsX76c\nWCzW7PjChQsT4VUsFuPss8/mvffe4/nnn0/8srqrzZs3s2PHDkaNGpWYFrTPPvvw2muvUVFRgd/v\nT9zvySefJC8vj5EjRwLxIuy//vWv+e1vf8vf/va3ZvcuLy+nqKhot97zd77zHf7617+yYcMGBg0a\nBMDrr7/OF198wVVXXZVod+yxx1JUVMQDDzzQJLh64IEHyMnJ4eSTT96tfoh0t3A4nAiAGhUXFzcZ\nvfj5559zxhlnMH78eP785z936L6XX34577//PosXL04cO+ussxg3bhxXXHEFCxcuBODLL7+ksrKy\nxVUKjTFsSSoJMGPGDB577LFm7U477bQm+5MnT2bu3PjKu+1N9U0eXenz+To0JVhEREQ6p9uqdFtr\ndwDPddf9UuDnwIPW2r8CGGP+BzgZuJCdheibyc3KVWgl0g2MMYmRTiV5DcO5hnT8+tmzZzN16lTq\nwnUEwgFqQ7WJRyAUoKq2ivKqciqqKnDnuqmL7mwXCDVtv27LOrav2k44GCYcChMOhomGo9iIhSi4\nil3kH5/fZn8qnq2AKDvDL3dD+OWMP2eN3DlyLGqjBMIBAuGdRb9j9TEi2yIYZ0NYlvScCNDcZo9P\nHXYaZyLEcjlciRDM5YxvNx5zOV24ne4WjzUGYY3nXv3TqyxbtqxZbZlYLMby5cs5+9Kz+dGvfoTL\n4eLR3z/KCy+8wBHHHsGCTxfw1rK3cDlcOIwDh3Fw2pmn4XQ4ufZn1/LsU8/yztJ3GDpsKG6Hmxk/\nn8FlP7qMQw49hIt+dBG52bk88cQTLFmyhFtvvTURcI0YMYJbbrmFmTNnsmrVKk4//XTy8vL4+uuv\nefbZZ7n00ku58sord+vrOHPmTJ555hkmT57MFVdcQXV1NXfeeScHHHAAF1xwQaKd1+vl5ptvZsaM\nGZx99tlMnTqVBQsW8Pjjj3Pbbbe1W2hapKe98847HHPMMRhjEtN+V61axdChQwFYt24dU6ZMwe/3\n89JLLzUpcN6acDjMo48+2mSVT4ivCnriiSdy3333EYlEcLlcxGIxSkpKePzxx1usV1VcXJzYvuaa\na/jBD36Q2C8rK+Pcc8/lrrvuYvz48YnjjUE3xKf5WWtbneqbPH13wIABzJ8/v8V2gKb6ioiIdFGH\ngitjzFAAa+3a5P32NLZPd8YYN3AwcFvjMWutNcbMAY5IWcek67Zu7fix6urm55J+0JXewxiTqFnV\nN6f94r+dEY1FCUaC1IXrqI/UN30O1zfbrppcRW2gluraamoDtdQEagjUBQjUBQiGgnj7eHHmOwlG\ngoSiIUKREMFoMP4cCVIbqKViVUV8WlsUbNRiozaxTRQKTinAZLUeXNW+X0v9yvoWzxljcPV3kX9M\n2wFc5RuVECMelDkMOBpCNEd83zPUg6tv699KYvUxItsj8Wsb7rHt9W2tFkSOxWK89sprfLzvxwBs\ne2sbFss7c9/hnbnvNGt/f/n9AFSsqMBiOe3R03AV7uxP4bmFrHtzHb+5+TfEgjHcfdz4T/HzcOxh\nZt0+C5fDhcvhwul2MvKCkXzyxie8e927AHj9Xor3K+al+pd4e9bbOB3ORHuXw4XTEQ/1MPCPxf/g\nU/+nOIwjca6xvdPhxGmcXHjnhTx///Nc/curcbldjJ84nu9e8V3+ufSfifZO42TAtwbw4xt+zHOP\nPcdzzz9H8YBiLr/2co4860gWrl7YpG3yayVezzhbfP3kfdVxk85oqw7dhAkTmDNnTpNjjTXoysvL\nmTJlCpFIhPnz57dY/6kl27dvJxKJtDrVNxaLEY1GcblcjBw5ktdff50jjzyyxWl6ycaMGdOkcPqa\nNWsAOOigg5g0aVKL13zjG9/A5XKxaNEizjzzzCb9+Oijj5rU1ZowYQKPPPIIn3/+eZPXeffddzHG\naKqvdEhLP6629KNqa/QjrIhkItPeaioAxpgYYAGftTaUtN8ma22vGIpkjBkAbACOsNa+l3T898Ak\na22z8MoYc5Df7/9wzpw5HHTQQT3YW+mQToxCme33M62iounBDvx3Iell9uzZTaZWZQprLeFYOB5w\nJYVboWg84EoOvkLREPWR+sR2Y/twNNz0EQsTCsfPR0202blwNEwkGiEUDVG+tpxQKEQ4FCYSiRAK\nh4hEIoTD8X1nPyc232Jb+ZYQKY9Q93EdNmYhBrFIjMCHAQg3b+v3+6moqMCR56DkypLEL8q179VS\n/1XLARyAu7+b/GPbGQH3TAWxUHxaYmMAh9m5nX1gNlmlrf/S2/g+cBAP7YzZue0wYCB7QnZ8NFwr\nwlvCxKpjze/R0A+TZXAVtf33pFhdrGnfTdK9OsFg2gy2WjvWONqtWTiX1Lby80r6faNfk2ON17gc\nLhwOR7NrGo8lt23pWEv9aHLPpECvS9cbpxZAafDss88yd+7cJnXoTjnlFG699dZmdehaEggEOOaY\nY1ixYgXz589vM7RZt24dgUAgUb8uFovRt29fSkpK+OSTT3C54v9d1NTUMHbsWPLz8/n000+BeO2s\nyZMn8+tf/5pbb721yX2j0Sg1NTUUFBS0+Lpr1qxh+PDhzJ8/v9XgCuCkk07i448/ZsWKFYkRY488\n8giXXHIJs2fPTizMsGHDBkaMGMGll17KH/7wh8T1kyZNYvXq1axZs6bH/31l6vfGTNbSPxG/fzYV\nFR37HPUjbHpavHhx4+qkB1trF7fXXkSa6uhUwQuJB1XhXfZFRGQPMsYk6lnR9mCClIrGooSiISKx\nCOFoOL7dEH5FYpHEfjga5tSJp7J5feurSBblFnHbSbcRiUXij+ManqPx52gsSjgWJhqL7jxuk85F\nk841PKJXRROBXDgSD93CkXB8Oxwh5ophnbbpNQ33slgc2Q6yRmdBrGEF2Rjx7ZiNfzeMEQ+R2hCr\niRHeGo63tU2vtTGLy+9qN7iqmlOFDdlm1zbKOTQH7yhvq9eHNoaonl/d7HjyL9OF3ynE4Wl9RFbt\nolpCa0LNwr/G7cLcwlaDzMQ93q/FxmzT8C1p2zPY0+bXIlYX/1o2XpN8beO+0++MH2+FjTb0cZfg\nLznkcjvcTcK7XUfb7Xpu11F5nT3X+Lxb93Z2/nVdDleTr0F1dTXXX389n332WZM6dPfddx9z585t\nUoeuNd///vf54IMPuOiii/jss8/47LPPEudyc3Ob1JX6wQ9+wIIFCxKv5XA4uPrqq7nuuus47LDD\nOO+884hEIjzyyCNs2LCBO+7YWcFh0qRJXHrppdx+++189NFHTJkyBbfbzRdffMEzzzzDH/7wB844\n44w2+9qeW2+9lYkTJzJp0iQuueQS1q1bx1133cXUqVObrCY6aNAgfvazn3HnnXcSCoU45JBD+M9/\n/sPbb7/N448/rlBURESkizo04irTNUwVDADfaSg833h8FlBgrf12C9cc5Pf7Pxw8eHCzpdYnT57M\n5MmT92ynpW3f/36Hmy7NyeGA2tqmBx9/vJs7JHva0qVLOeCAA1LdDemAxx57jNdee63JL8QQX+q+\nrq6OKVOmcN5556Wod81ZLNFYND49yUaJ2fhzNBbF2njYFbOxxH5jm8QjFmuyH7XRZseS2+7W9S2c\nb9KnhvtbaxNtbaxjfba24esQiSWCM2vtzj9jNQRynhoPkf6RNr+mka2RneFbwyMRwMXAVeTCkdt6\neBariRHaENoZAtqd92rczh6X3eaf54Irg4S3hFv9M5yz0IlvXNvFtGverYkvSZMsKZvwjvTiKmm9\nE9EdUYIrg/FrGq9rDN9MPIzz7eeDNsavR7ZEiNZEd4Z0jV+2hmeHz4GrT9uBaLQyijHxUXgOh4Pa\n5bU4tjqo3fV7Y8N9+43rx/BvDW9xumrjSLp//++/qa1s4Xogvyify2++PNH2sbseY82Xa7j94dub\n3GPJe0uYN3seWzZvIRKOMGTYEE759ikcecSRiYDO5Yi/t1dffZWXX36ZtWvX4nQ6KSkp4ZBDDuG0\n005rUrMqWVlZGRdeeCG33347+++/f5tfo2XLlvHoo4+ycuVKsrOzmTRpEhdccEFixcBkTz31FK+8\n8grl5eUMHDiQc845J2U/F+p7Y+/T0o+wOTlLqa3t2OeoH2FTb/78+c3q3QUCAT755BPQiCuRLulS\ncGWMeZR4IfP3Wjl/KPA/1toLd7N/PcYY8y7wnrX2ioZ9A6wF/mCt/d8W2muqYDrTVMG9jqZD9B6t\nrSrYp08f+vfv36HRHJI6jaFX46i0qI2PbovF4sfmzpnLt4751s7zDaPfGq9JbtvS9cltW7o++VhL\n1ycf69D5xkfSseTnXY8lj+hLPNvmtZg69LWMWGL1sWaj95K3Xf1cbY4cC28OE62M7hwJ2BgCNmw7\n8hxtjsIDqH6jOr74RMOIwsCiAIU5hVTs+r2xgbPQScnPdtarCm0IUf1G2yP5/Gf6Me7W30fNwhqC\nq4I76+E11tJzxhe1cJW4yDm45cLujaux1i6tjS8I4Xbj9rjxuD14PB48bg9ZWVn0GdSH/KL8ePtd\nVmJN3ve6vIntXVd7bdz3ur343D68Li9etxevyxuveZdm9L2x99FUwcykqYIiu6erqwpeAMwBWgyu\ngOHA+cSnFPYWdwGzjDEfAu8TX2UwG5iVyk5JFyUtf52wdSuMG9f02GefxR8aISfSY/Ly8li4cCG/\n+c1veP755xP1c4444ggefPBBhVZpzhiTGBHTEr/Pz5DCTiwJmgEaR7XtOqV11+Crpf0mU17bCsxi\nzQOztsK0xLZtfu9d+xM5d+d9wtEwCz9b2Pb7jdomBds9gzz0+X6f3foa5h6RS87hOfHwLGp3Pkfj\nQZxxth56BaNBgtEgdbYO6sEGdl6XfA/vKG9iNdeWhNaHqF7QPIBLVnR2Uau17FwOF+FlYaLbovHA\nzOPBk+XB6/Xi9XnxZfvoU9KHIfsOSQReyeFX48q62e5scjw5ZHviz42PbE82XpdXUw4zXEs/ws6f\nrx9VRWTv1tXgqj0Dgbo9dO89wlr7lDGmL3ATUAJ8BEy11nZwDQ9JKx1dUqW4GPLytASLSA/Ly8vj\nnnvu4Z577kn8Ajx79myFVtIrGWNwmYZpa3vqJ6seNPzO4ezYsaPV80OKhrD82uVNFnVosaZd0mIP\njdvhaLjTbRq3G+vn7booRWL/iFCz8+FYCytBtMIzePcCuEgsQmxADFtgqY/WUxepi49kC4Kttdiw\nxVHmwFvX9gi48n+WN6ldl8w4DMVHF9N3dN/EKrrJwVaOJwcCENwWpKigiOr11WzN3UpJUQlFeUXk\ne/Pjj6x8fG6fQrA01NKPpPpRVUT2dh3+8coYcxpwWtKhS4wxx7fQtBA4HvhgN/vW46y19wP3p7of\nIiJ7E/3iJJJeTjnlFB5vpVCOw+HgtNNOS4wOSncxG9u5ympDoJUcbCWv1NrR/WAkSH2knvpwPfWR\neurCdYnt+r4N+w3n68J1nZ5KWvTdolbP2aglQoSymrJW20S2RahbVocNWXLrc/nzU3+OL+oQ3TlK\nzv9dPy6HizxvHvlZ+U2fvflUfVWFO+qmf3F/+hf3Z1C/QQwtGUq/wn74fX6FXiJAKBpiR90OKuoq\nqKyrpDpYTU2whupgNdX11VQHq3n/9ffZVraNLWtbGEonIh3Wmb8LjgXOati2wGHAwbu0sUAtsAC4\ncrd7JyIiIiI96tZbb2X+/PlUVFQ0qUPncDjYb7/9uOWWW1LYu85xGEd8Kp6r7VFOe1I4Gm4SZLUa\neoXrCYQDBEIBakO11IZqCYQCBMJN9xPbDW1D0VCT13P1dZE3KT561bvBi2NQywsdRG2UyrpKKusq\nm50Lfh0ksi1CrC5GrD6GrY/XY2tcjTN3VC7DjhuGP9tPUXYRfXP6UpxTTEleCcW5xfTN7ku2zWbk\nwJEU5RThMK0vtiCSDmI2RnmgnK01W+OP2q188uknfLbkM7aXb6eyopKqHVXU7qilvq6ecCyMzbUU\nTi9s877BdUEAojldq4UoInEdDq6stb8DfgdgjIkBF1lrtW6FiIiISAbJy8vjpptuYt68eU3q0J16\n6qnccsstmtLbSW6nG7fTTV7Wnvm6haKhRKAVCAWoCdVQXV9NVbCK9xe8z6ADBiX2G0eC7Kjfkdiu\nClZRXV/dZFpl1ogsskZktfm6m6s3s7l6c4vnYsEYO17aQaw+hsHgcXrIyc3B389PSf8Shg0dxrHH\nHcuYoWMYUjiEfrn9FG7JHhGNRVm7fS0fff4Rn37xKavXr2bz5s2UbSlj0LcGUZddx9aarWyv3d5s\ndGS4LEykPILD58BR4sBR6sD4TLwWnclu5RWbyhoZ/+8otDHUTksRaUuXKjFYa/WdRURERCRDeb3e\nZnXoJD15nB48Pg+FvuYjP1xrXUw7ov3V6Ky11EfqqQ5WU1VfxY76HVTWVVIeKKciUEFFXUV8u+G5\nMlCZ2N51xBeAI8uB/wx/k2Ox+hhbq7dSVlXGkiVLeKX6FZy5zsR7GFgwkCGFQxhSMITBhYPx1nkp\n9hUz8YCJ9Mvvp3+D0qJgJMjGqo2sr1zPhh0bWF+5nvU71rNq8yoW/HEB9ZF6cIKzwIkz34kjz4Ez\nx4mjxMHG7RsxVa3/u3KXuHGXNF3QwWmc+LP9FPoKKfQV4vfFtwu8BRR4C8jNyiUvK488bx55WXmJ\n/VXLVzHtIa3wKdJVu11C1BiTC/iBZv/VW2vX7u79RbpNcbHWCBYREekkBQaZzxiTqFvWL7dfh6+z\n1lIbqmVb7Ta21GxhS80WttZspay6jK01W5sc22q24vA6oIUi46FoiNXlq1ldvjpxLLg6SP3yeqKV\nUVzGRV52HoOGDWK/MfvxzQnfZNrEaYweOFr/PvcC1lpWrF/BG4ve4MOlH7Ls82XUe+pxHuRkw44N\nWFr++T777GyyaXtklNvhpm9ufKprcW7xzufcYvrm9E0EU4W+QvzZfnI9uV36N1ezrqbT14jITl0K\nrowxXuAG4CKgreVXWl4rW0REREREejVjDLlZueRm5VJaVNpm22gsSnmgPDE6Zl3lOjbs2MC6ynWs\nr1zP2sq11IZqE+2zSrPIKt05XdGGLWvK1/DVyq94duGz/Oah3zBkyhDG9R/HuJJxjOs/jv0H7M/o\n4tGadtiL1Ufq+WLLFzz732d5bfZrfP3l11TVVhF1R3H1dcUffVw4i5w4drT9ORd4CxhUMIjBhYMZ\nXDCYQQWD6J/XPxFMFecWU+gtVPgp0gt0dcTV/cD5wLPAm0BFt/VIREREREQyitPhTIQFBww8oNl5\nay2V9ZWJUGtd5TrWVqzlq+1fsXLbSjZVbWo2dauyrpK3V73N26veThzLz8rn4CEHc0DJARTWFHLm\n8Wfiz/U3ez1JPWstG6s2smjdIj5c/yGL1y/m002fEo6FCZeFoRBcJ7nId+W3eH2Bt4ARfUYkgqnB\nBYMZVDgovl04eI/VlRORntfV4OoM4GFr7aXd2RkREREREdn7GGPw+/z4fX72H7B/s/M1wRq+3v41\nK7et5PMtn7OsbBnLNi+jrKasSbuqYBXzVs7j9U9fp+adGn56zU8pyC7g8ImH84Mzf8BpR52Gy7nb\n1VKki75Y9wUPPvkgm72b+Tz0easF/pMDyv55/RlbMpbRxaMZ2WckI/uOZFTfUfTJ7qPRUiJ7ia7+\nX9sCi7uzIyIiIiIiIi3Jzcpl/MDxjB84vsnxrTVbWVa2jE83fcqSDUtYtG4RW2vj9bTyj42P1ImF\nYry5+k3m/GoOlMPQYUM5+aSTmXnpTPzZGo21J4UiIWa9OIsn//0kS5cspdbWkjUiC+8YL86c5lVl\nRvUdxQEDD2Bc/3GMLRnLuP7jKMouSkHPRSSddDW4eg44HniwG/siIiIiIiLSYcW5xRydezRHjzwa\niE8/W1u5lkXrFrFo3SLeW/MeK7auwLuPF+8+XgC2V2zn4Tce5umapzlh3xM4Y/8zOHb0sWS5stp6\nKekgay3/fuPf3PXAXSxdvBQzwOAd7cXzbQ9Zzp1f4xxPDgcOOpCDBx/MwUMO5qDBB+H3KUgUkea6\nGlzdDDxljHmIeHi1Foju2shaW74bfRMREREREekwYwzD/MMY5h/Gd8Z/B4CNVRt5Y+UbzPtqHm9+\n9SZV/ipcfhfhWJiXl7/My8tfptBbyPRx0znrgLM4ePDBmoLWBV9v/5p/f/xv/vPJf1j+1nKc+U7y\nz81PfC0NhvEDx3P0yKOZPHIyBw0+CLfT3c5dRUS6Hlx92fB8IPGVBVujVQVFRERERCRlBuYP5HsH\nfY/vHfQ9wtEwi9cv5uXlL/Pcp8+xtXYrAJX1lfz9w7/z9w//ziFDDmHGt2Zw3OjjFGB1wKJ1i7j3\nrXt57YvXEsd843wAeF1ejt/neKaNmcakEZPok9PWgvQiIi3ranB1E/E6VyIiIiIiIr2C2+nmsGGH\ncdiww7huynW8+fWb/Pvjf/PK569QF64D4IN1H/DdW7+L42MHV111FVd//2qcDv09Ppm1lgVfL+CP\nb/2RhasXNjlnMEwcPpEz9j+DE/c7kXxvy6sCioh0VJeCK2vtjd3cDxERERERkR7jcrg4ZtQxHDPq\nGGpDtby47EX+9M6f+GLrF2SNyCJaHOXmB27m97//Pddedy1XnnXlXj8Cy1rLQy88xN2P3U31+Oom\n5wbkD+CiQy/i9P1PZ0D+gBT1UEQyUbesBWuMKQBqrLXN6lyJiIiIiIiksxxPDudMOIezDjiL/674\nL3948w8s3biUgikFRGuiXHfLdTz2z8d44aEXGNZ3WKq7mxIbyjdw6qWnsmz5MgqmFuBsqAozss9I\nLp94Od8e/208Tk+KeykimcjR1QuNMd80xsw2xgSA7cDRDcf7GmOeM8ZM7qY+ioiIiIiI7HEOLDC7\nhgAAIABJREFU42DamGm89KOXeOIHT3BE6RE4c534v+NnvXs9Yw8fy23/uA1r956qKdZa7nzyTvY9\nbF9WsQr/mX6c+U72H7A/D571IPN+PI9zDjxHoZWI7DFdGnFljDkSmAtsAP4O/KjxnLV2W8MIrEuB\n+d3QRxERERERkR5jjGHSiElMGjGJ/674L9e8eA1bxm7BM8zD7x76HZ/Zz7jjlDsYVDAo1V3do9Zs\nW8MpPzqFlatWkv/tfJw5Tvpk9+GWk27hlLGn7PVTJ0WkZ3R1xNVtwHJgLDCzhfPzgMO62ikRERER\nEZF0MGXfKcz98VzOPOBMnDlO8o/NZ/5X8znugeN4cdmLqe7eHvOX1//C2CPGst67Hv8Zfpw5Tk77\nxmnM+/E8Th13qkIrEekxXQ2uDgH+Yq0N0vLqghuA/l3ulYiIiIiISJrw+/zcc/o9zPreLPrnxX/N\nqQ5Wc9kzl/HM0mdS3Lvu988l/2TmqzPJPSkX334+inOKefjsh7n/O/fTJ6dPqrsnInuZrgZX4Xau\nHQTUdPHeIiIiIiIiaeeEfU7g9cte5/RvnA5AzMb42bM/48mPnkxxz7rP3z/8O1c9fxWOHAeuIhen\nfeM05v54Lifud2KquyYie6muBlfvAme2dMIYkwP8EHijq50SERERERFJR4W+Qu49417O/+b5AFgs\nVz13FU8sfiLFPdt9s96fxTUvXpPYv/jwi7nvjPsoyi5KYa9EZG/X1eDqBuCbxpiXgMbo/QBjzI+A\nD4Fi4OZu6J+IiIiIiEhaMcZw60m3ctGhFwHx8OrqF67mz2/8OcU967qH332Ya1+5NrH/4yN/zA1T\nblAtKxFJuS4FV9ba94CTgFHAXxsO/x/wEOAETrLWftwtPRQREREREUkzxhh+O+23XHz4xQDEgjFm\nXDCD/332f1Pcs8770zt/4oZXb0js//SonzLz+JkKrUQkLbi6eqG1di6wrzFmAjCaeAj2FfChtbal\ngu0iIiIiIiIZwxjDDVNuwOVw8cA7D1B4eiHXXX0do0aM4tvjv53q7nXIPz78Bze/tnOyzFVHX8XP\nj/65QisRSRtdGnFljDnPGFMKYK39yFr7tLX2SWvtImutNcaUGmPO686OioiIiIiIpBtjDNcefy0z\nJs7AVejCO8bLjBtnUFlXmequtWtj1UaumHkF4a1hAH55zC+5cvKVCq1EJK10tcbVX4Aj2zh/WEMb\nERERERGRjGaM4VfH/YqT9juJ7IOz2f7JdmY+OTPV3WrXFY9eQe36Wlx9XXz/wO9zxaQrUt0lEZFm\nuhpctRfB5wCRLt5bRERERESkV2mseZXrzSX/+Hxm3TWLD9Z9kOputerVz1/lhQdeIH9KPsW5xVx7\nwrXtXyQikgIdrnFljBkPTEg6dJQxpqXrC4H/Ab7Yzb6JiIiIiIj0GgPzB/LLY37JDa/egCPPwcW/\nv5gP7vkAt9Od6q41URuq5bKbLyNrWBauQhc3Tr2RQl9hqrslItKizhRn/zbQuNSEBS5teLSkElCN\nKxERERER2av88NAf8szHz7B08lJWPLuCB995kBlHzUh1t5q4+fmb2fDuBvqc24dJIyZx+jdOT3WX\nRERa1Zmpgg8BhwCHEp8qeH3DfvLjm8B+QD9r7Yvd21UREREREZH05nQ4uWP6HbiyXPjP8nP3grtZ\nW7E21d1K+HTzp9z7u3vJPzYfr8fLbSffpmLsIpLWOhxcWWs3WWs/tNYuAo4BHmrYT34sttausNaq\nvpWIiIiIiOyVxg8czw8P+SHGGOoj9Vz7yrVYa1PdLaKxKBffdTHWafEM9nDFpCsYXjQ81d0SEWlT\nl4qzW2vfsNZuATDGjDXGnNjwGNu93RMREREREel9fnHsL+if1x+AuV/O5aXlL6W4R/C3D//GV1Vf\nkX9cPqP7juayiZeluksiIu3q6qqCGGNOM8Z8BXwCvNjw+MQYs9IYc2p3dVBERERERKS3ycvK46Zp\nNyX2r3/lempDtSnrz9aardz++u24B7hxeB3cPv12PE5PyvojItJRXQqujDEnAf9q2J1JvHD7txu2\nDfBvY8y0bumhiIiIiIhIL3TSfidx/D7HA1BWU8Yry19JWV+e+ugpqoPVAHx3wnc5fNjhKeuLiEhn\ndHXE1XXAx8B4a+3vrbXPNzx+D4wnPgrrhjbvICIiIiIiksGMMVw+8fLEfiqnC764bOfaWT856icp\n64eISGd1NbgaDzxmrW021rXh2KyGNiIiIiIiInutbw75JiW5JQC8sfKNxKinnrS2Yi0fb/oYgP0H\n7E9pUWmP90FEpKu6GlzVA0VtnC9qaCMiIiIiIrLXchgHJ+13EjZs2f7WduZ8MafH+/DSsp0jvU7e\n7+Qef30Rkd3R1eBqLnCFMeaIXU8YYw4Dfgr0/P+RRURERERE0szJY0/GuA3BlUGe//j5Hn/95CmK\nJ49VcCUivUtXg6tfEh9R9ZYxZqExZlbDYyHwTsO5a7qrkyIiIiIiIr3VoUMPpTinGM9wD7Nfm01N\nsKbHXnt95XoWr18MwNiSsYzoM6LHXltEpDt0Kbiy1q4iXsPqD4AfOKfh4QfuAQ6w1q7upj6KiIiI\niIj0Wk6HkxP3OxHfWB9Vn1Tx+pev99hrv7T8JSr/XYkNW6aPnd5jrysi0l26OuIKa+0Wa+3PrbVj\nrLW+hscYa+2V1tot3dlJERERERGR3uzksSfjKnIR3RHl+U96brrgfxb9BxuxGLfRNEER6ZU6FVwZ\nY7zGmHOMMb8yxlxsjBmwpzomIiIiIiKSKQ4fdjh9svvgKfXwymuvEAgF9vhrbtixgffmvod3Xy/7\n9duPUX1H7fHXFBHpbh0Orowx/YBPgceB24AHgS+NMcfvob6JiIiIiIhkBJfDxbQx0/CN9bHjkx09\nMl3w5eUvU7+iHu++Xo22EpFeqzMjrq4DSoG7genAz4A64gGWiIiIiIiItGH6uOm4+riIVkR5/tM9\nP13wP4v+A4DD51B9KxHptVydaDsF+Ku19urGA8aYMuBxY8y+1toV3d47ERERERGRDHFk6ZH4fX7C\nJ4SZu2IudeE6fG7fHnmtTVWbWDh3Id59vOxTvA+ji0fvkdcREdnTOjPiaijw1i7H3gIMUNJtPRIR\nEREREclALoeLE8eciLu/m3pbz7yV8/bYayWmCY7xarSViPRqnQmusoD6XY417ndm5JaIiIiIiMhe\nKbnW1IvLXtxjr/PckufAapqgiPR+nQ2cSo0xByXtFzQ8jzbGVO7a2Fq7uMs9ExERERERyTATh0+k\n0FtIZX0lc76Ys0emC5ZVl7G4bDH+M/2M6juKfYr36db7i4j0pM6MuAK4Gfgg6TGn4fj9uxxf1PAs\nIiIiIiIiDdxON1PHTAWgNlTLG1+90e2v8cryV7BYjNMwfex0jDHd/hoiIj2lMyOufrjHeiEiIiIi\nIrKXmD52Ok9+9CQALy17iWljpnXr/ZOnICZPTRQR6Y06HFxZax/bkx0RERERERHZG3xrxLco8Baw\no34Hc1fOxVrbbaOiakO1vLvmXQCGFw1nv377dct9RURSpbNTBUVERERERGQ3eJwe9h+wPwCVdZVU\n1FV0271Xla/CYgE4dOihmiYoIr2egisREREREZEeVlpUSnBVkOCaIGsq1nTbfVeXr05sD/MP67b7\nioikioIrERERERGRHlbqLwUgvCHcJGzaXWvKd4ZgpUWl3XZfEZFU6dXBlTFmpjHmbWNMrTGmvJU2\nQ4wxLzW02WyMucMY49ilzXhjzAJjTJ0xZo0x5hc98w5ERERERGRvVFpUiqvIRaQ80q3BVfK9FFyJ\nSCbo1cEV4AaeAh5o6WRDQPUy8SL0hwPnAxcANyW1yQNeBVYBBwG/AG40xvxoT3ZcRERERET2XsOK\nhuHIcxCtirK6YnW33XdVxSoqn6+Mv4amCopIBujwqoLpyFr7WwBjzPmtNJkKjAGOsdZuAz4xxlwH\n3G6MudFaGwH+P+IB2EUN+8uNMQcCVwIP7/E3ISIiIiIie51SfynGYcA2nd63u1ZvW020Jorf56fQ\nV9ht9xURSZXePuKqPYcDnzSEVo1eBQqAcUltFjSEVslt9jXGFPRMN0VEREREZG+S7cmmX24/jNPw\n9Zavu+We9ZF61q9fj7PAqWmCIpIxMj246g+U7XKsLOlcR9uIiIiIiIh0q9KiUpyFTso2llEbqt3t\n+62rWEekPIKryKXgSkQyRtoFV8aY3xljYm08osaYfVLdTxERERERkd3R3QXaV5WvSgRXqm8lIpki\nHWtc3Qn8pZ02HR1Luxk4ZJdjJUnnGp9L2mnTqgsuuIDs7OwmxyZPnszkyZM72EVJtaVLl6a6C9IN\n9Dn2fvoMM4M+x8ygzzEz6HNMf7FVMQpzCrF1lhdeeoF1g9Y1a9OZz3Heynn4tvrIyski8GWA2cHZ\n3dld6YD58+czf/78JscCgUBqOiOSIdIuuLLWbge2d9PtFgIzjTF9k+pcTQF2AMuS2txijHFaa6NJ\nbVZYa3e09wKzZs3ioIMO6qbuSqpMmzYt1V2QbqDPsffTZ5gZ9DlmBn2OmUGfY3oLDg7yzI5nAMgf\nk8+0iS1/Xh39HN98+U0qqyrxj/Jz0rSTOGTorn/Dlz2tpc9q8eLFHHzwwSnojUhmSLupgp1hjBli\njDkAGAY4jTEHNDxyGpr8l3hA9TdjzHhjzFTgZuBea224oc3jQAh41Bgz1hhzDvBT4P969t2IiIiI\niMjeJHk6X3dMFVxdvhobtRi3UY0rEckYaTfiqpNuAs5L2l/c8HwM8ZUCY8aY6cADwDtALTALuKHx\nAmttlTFmCnAfsAjYBtxorX1kz3dfRERERET2Vsnh0uqK1bt9v9UVq8k5NIccTw59c/ru9v1ERNJB\nrw6urLU/BH7YTpt1wPR22nwKHN2NXRMREREREWlToa+QQm8hlfWVuz3iKhKLsL5yPd5RXob5h2GM\n6Z5OioikWK+eKigiIiIiItKbNY662rhjI8FIsMv32bBjA5FYpMk9RUQygYIrERERERGRFBlWFK9z\nZbGsq2y+qmBHJY/YKvWX7mavRETSh4IrERERERGRFEkOmXZnumCT4EojrkQkg/TqGlciIiIiIiK9\n2bCiYdioJVod7bbgqnEUl4hIJtCIKxERERERkRQZXjQcG7VU/bdq94KrpFUJhxcN3/2OiYikCQVX\nIiIiIiIiKVJaVIrD48BGLGsq1nT5PmvK49dmObMYkD+gu7onIpJyCq5ERERERERSpDinmGx3Nlj4\nevvXXbpHzMZYVbaK0IYQQ/xDcBj9micimUP/RxMREREREUkRYwzDiobhzHWydsNaIrFIp+9RVl1G\nzaYagl8GVZhdRDKOgisREREREZEUKvWX4vQ7qd9Wz8YdGzt9/ery1UTLoziLnAzzqzC7iGQWBVci\nIiIiIiIpVFpUiqvIRaQ80qTIeketqVhDpDyCy+9SYXYRyTgKrkRERERERFJomH8YziInkYpIl1YW\nXFW+ikh5RCOuRCQjKbgSERERERFJocYRV9HyaGJ1wM5YXb6aWCCGI9uhGlciknEUXImIiIiIiKRQ\naVEpDq+DgukFXZ4qCOByuBhcOLibeycikloKrkRERERERFJoYP5A3A43jixHp6cKWmv5evPXGI9h\nUMEgPE7PnumkiEiKKLgSERERERFJIafDyVD/UCA+7c9a2+FrK+oq2LF1B+5+bk0TFJGMpOBKRERE\nREQkxYYVxYuq10fqKasp6/B1q8pX4errIu/oPBVmF5GMpOBKREREREQkxYb7hye2O1OgPbmtRlyJ\nSCZScCUiIiIiIpJijSOugE7VuUpuq+BKRDKRgisREREREZEUSw6dOrOy4KqKVS3eQ0QkUyi4EhER\nERERSbHk+lSdGXGVPFVQNa5EJBMpuBIREREREUmxIYVDcBgH1QuqWVPR8RpXjSFX/7z++Ny+PdQ7\nEZHUUXAlIiIiIiKSYlmuLAbmDyS8OcxXm77CWtvuNdXBarYHtgOaJigimUvBlYiIiIiISBooLSrF\n5XdRsbmCirqKdttrmqCI7A0UXImIiIiIiKSBYf5hOIucRMojHZouuLpiNYHFAULrQxpxJSIZS8GV\niIiIiIhIGhheNBxXkYtoRbRDBdpXl68mvDmMI9uhEVcikrEUXImIiIiIiKSB0qJSnIVOIhWRDgdX\n0R1RnAVOhhcN3/MdFBFJAQVXIiIiIiIiaWBY0TAcXgc2ZFlXua7d9usq12GtxTgNQ/1De6CHIiI9\nT8GViIiIiIhIGijwFmDcBhuy1IRq2m1fE4y3MRgKvAV7unsiIimh4EpERERERCQN+Nw+cEJWaRZ1\n4bp22ze28bl9GGP2dPdERFJCwZWIiIiIiEgayPZkY4wh57Ac6kLtB1eBcABoCLxERDKUgisRERER\nEZE0kOXMwhAfOdWZEVfZnuw92i8RkVRScCUiIiIiIpIGjDGJ0VMdDa6yJ2RrxJWIZDQFVyIiIiIi\nImmiMYRqnAbYGmstdeE6fGN9Cq5EJKMpuBIREREREUkTjdP+2htxFYwGidlY/Bq3pgqKSOZScCUi\nIiIiIpImOjpVMPm8RlyJSCZTcCUiIiIiIpImkoMra22r7ZKDK6/bu8f7JSKSKq5Ud0BERERERETi\nst3ZxIIxrNsSjAZbbacRVyKyt9CIKxERERERkTThc/vY8fIObL1tc7pgXWjnOdW4EpFMpuBKRERE\nREQkTXjdXozbYMPtBFcacSUiewlNFRQREREREUkTPrcP4+lYcBWri2GjVsGViGQ0jbgSERERERFJ\nE9nu7J0jrkKtB1eBcIDg6iDBL4JkezRVUEQyl4IrERERERGRNOFz+zBuQywca3fElQ1bjNtoxJWI\nZDQFVyIiIiIiImnC5/bhcDuwofanCiq4EpG9gYIrERERERGRNNE44sqGLYFwoNV2ieDKo+BKRDKb\ngisREREREZE0ke3J7tCqgoFQIDHiKtutGlcikrm0qqCIiIiIiEia8Ll9eIZ7wMZHVfloeTRVXbgO\nG9JUQRHJfAquRERERERE0oTP7cOZ6wRQjSsRETRVUEREREREJG0kT/sLhFqvcRUIBxRcicheQSOu\nRERERERE0kRyCNXeiKv84/IxXoPPo+BKRDKXgisREREREZE00ZngypHtaHaNiEim0VRBERERERGR\nNJEcQgXCrU8VrA/Xt3iNiEimUXAlIiIiIiKSJpKn/bU14io51EquiyUikmkUXImIiIiIiKSJzkwV\nBHAYBx6nZ4/3S0QkVRRciYiIiIiIpInG4Kr+i/om0wF31Rhc+dw+jDE90jcRkVTotcGVMWaYMeZh\nY8zXxpiAMeZLY8yNxhj3Lu2GGGNeMsbUGmM2G2PuMMY4dmkz3hizwBhTZ4xZY4z5Rc++GxERERER\nkZ3T/moX1bZZ4yoQip9TfSsRyXS9eVXBMYABLga+Ar4BPAxkA78EaAioXgY2AocDA4G/ASHgNw1t\n8oBXgf8ClwL7A38xxlRYax/uwfcjIiIiIiJ7OY/Tg6Ph7+wdmSqo+lYikul67Ygra+2r1tqLrLWv\nW2tXW2tfBO4EzkhqNpV4wHWutfYTa+2rwHXA5caYxtDu/wPcwEXW2uXW2qeAPwBX9ty7ERERERER\nAWNMYhRVe8FV7eJajbgSkYzXa4OrVhQC5Un7hwOfWGu3JR17FSgAxiW1WWCtjezSZl9jTMGe7KyI\niIiIiMiu2guurLUEQgGCK4IKrkQk42VMcGWMGQXMAP6UdLg/ULZL07Kkcx1tIyIiIiIi0iMap/81\n1rHaVX2kHhux4AKfR8GViGS2tAuujDG/M8bE2nhEjTH77HLNIOAV4Elr7aOp6bmIiIiIiMjua2/E\nVV24Dhu2GLfRiCsRyXjpWJz9TuAv7bT5unHDGDMQmAu8Za29dJd2m4FDdjlWknSu8bmknTatuuCC\nC8jObloQcfLkyUyePLm9SyVNLF26NNVdkG6gz7H302eYGfQ5ZgZ9jplBn2MvtgYKXAXEVsVY6mz+\nOVbUVeBd7wUX1H1Zx+zZs1PQSWnJ/PnzmT9/fpNjgUDrq0OKSPvSLriy1m4HtnekbcNIq7nAB8CF\nLTRZCMw0xvRNqnM1BdgBLEtqc4sxxmmtjSa1WWGt3dFeH2bNmsVBBx3Uke5KGps2bVqquyDdQJ9j\n76fPMDPoc8wM+hwzgz7H3unhsoepmVODs8TJ2G+MbfY5rty2ktrXawl4Agw6YJA+5zTS0mexePFi\nDj744BT0RiQzpN1UwY5qGGk1H1gD/BLoZ4wpMcYkj576L/GA6m/GmPHGmKnAzcC91tpwQ5vHgRDw\nqDFmrDHmHOCnwP/10FsRERERERFJ8Ll9FJ5aiHEbQtFQs/PJUwUb62GJiGSqtBtx1QknACMaHusa\njhnAAk4Aa23MGDMdeAB4B6gFZgE3NN7EWltljJkC3AcsArYBN1prH+mZtyEiIiIiIrJTct2q9oIr\n1bgSkUzXa4Mra+1jwGMdaLcOmN5Om0+Bo7upayIiIiIiIl3WJLiKtBxcGZfB5XcpuBKRjNdrgysR\nEREREZFMlDz9r6URV4FQAM8gDwxCUwVFJOP12hpXIiIiIiIimagjUwVbaisikokUXImIiIiIiKQR\nBVciIjspuBIREREREUkjTaYKtlLjqpGCKxHJdAquRERERERE0kh7xdkD4UBiO9ujGlciktlUnF1E\nRERERCSN+Nw+QmtDRGujhPq1PeLK6/b2ZNdERHqcRlyJiIiIiIikEZ/bh41YopVR1bgSkb2egisR\nEREREZE0ku3JxrgNNmxbDK4CoaSpgm5NFRSRzKbgSkREREREJI143d6dwVVLxdkjdVS+VEksGNOI\nKxHJeAquRERERERE0ojP7WtzxFV9uJ5YTQzjMgquRCTjKbgSERERERFJI9nubIyn9eCqLlyHjVqM\nU8GViGQ+BVciIiIiIiJppL0RV01qXHlU40pEMpuCKxERERERkTSSCK5CrdS4alhV0GmcuB3unu6e\niEiPUnAlIiIiIiKSRnxuH8ZpyBqdRTgabna+MbjyuX0YY3q6eyIiPUrBlYiIiIiISBppnP6Xc3AO\nwUiw2flAONCknYhIJlNwJSIiIiIikkbcDjdO4wRotTg7oMLsIrJXUHAlIiIiIiKSRozZuVpga8FV\nzsE5Cq5EZK+g4EpERERERCTNJIKrXYqzW2upC9fh3der4EpE9goKrkRERERERNJMY/2qXUdc1Ufq\nE9sKruT/Z+/Ow6Oq7j+Of84kk41FgQBRWRIQISyKgBURZZHK5ooIElBAqqACFdu6gQL+1FK1otRC\ncIUAQQRUBFEUBayCokQFLVBlF0FMkEUSmISc3x9JhqxkIcnczLxfz5MHc+65934nt2PDx+85AwQC\ngisAAAAAcJiilgrm7G+Vew4A+DOCKwAAAABwmNzBlbXWO05wBSDQEFwBAAAAgMOEu8OVmZopZeZd\nHpg7uMpZTggA/ozgCgAAAAAcJtwdrsMfHFamJzNPWJXqST01J5iOKwD+j+AKAAAAABwm3B0uV4hL\nOpm3y4qlggACTbCvCwAAAAAA5BXuDpdxG9mTtkBwdfLYSekkwRWAwEBwBQAAAAAOE+GO8AZXuZcH\npqanyrPLI3vCsscVgIDAUkEAAAAAcJicjitlFFwqaNOtjNvQcQUgIBBcAQAAAIDDnG6pIMEVgEBC\ncAUAAAAADhMRkr1UMMMqNf3UUkFvcBVCcAUgMBBcAQAAAIDDeJcK5vtUwVRPKh1XAAIKwRUAAAAA\nOEy4O1yhTUIVXD+YpYIAAhrBFQAAAAA4TLg7XK4Il1xhroLBlYfgCkDgILgCAAAAAIfJHUqlegrZ\n48ptFBES4YvSAKBSBfu6AAAAAABAXrmDq/wdVzV71qTjCkDAILgCAAAAAIc5XXDlCnUVmAMA/oql\nggAAAADgMLmXAeYPrnIQXAEIBARXAAAAAOAwRXVcpaaf2u8qws0eVwD8H0sFK9Du3buVnJzs6zJQ\njB9//FFJSUm+LgNnqLjnGBkZqUaNGlViRQAAAGV3uqWCkhTsCpY7yF3pdQFAZSO4qiC7d+9WbGys\nUlNTi58MoMJFRERo8+bNhFcAAKBKyAmuPHs9hQZXLBMEECgIripIcnKyUlNTNXfuXMXGxvq6HCCg\nbd68WUOGDFFycjLBFQAAqBJylgF6dnryLA9M9aTmOQ4A/o7gqoLFxsaqXbt2vi4DAAAAQBXiDnIr\n2BWsDGXQcQUgoLE5OwAAAAA4UE44lT+4Orb+GMEVgIBBcAUAAAAADpSzHDAnuMq0mUrzpOnEthMK\nc4f5sjQAqDQEVwAAAADgQDldVTn7Wh1PPy6bYWXcRhEh7HEFIDAQXKFKcblceuyxx0p93q5du+Ry\nuZSQkFABVTnfmjVr5HK59Mknn5T63EmTJsnl4l8VAAAAlS3/UsG09DTZ9KzgiqWCAAIFfxtFqc2e\nPVsul0sul0tr164tdE7Dhg3lcrl03XXXVXJ1ZyYn4Mn5CgkJUdOmTTV06FDt2LGj1NdLS0vT5MmT\nyxQYlcWMGTM0e/bsQo8ZY8p0TWNMmc8FAABA2YW5wyQjpXnSspYJpqfJegiuAAQWPlUQZRYeHq7E\nxER16tQpz/iaNWu0d+9ehYVV3XX39957rzp06KD09HQlJSVp5syZWr58uTZt2qSoqKgSXyc1NVWT\nJ0+WMUZXXnllBVacZfr06apbt66GDh2aZ7xLly5KS0tTSEhIhdcAAACA8hEREiFXuEs6mbVMMHfH\nVc7+VwDg7+i4Qpn16dNHCxcuVGZmZp7xxMREdejQoVQBj9N07txZcXFxGjp0qJ5//nk988wzOnjw\nYJHdTEWx1lZQhaVHaAUAAFC1hLvDFXFxhIzbKC09TanpqSwVBBBwCK5QJsYYDRo0SCkpKfrwww+9\n4+np6Vq0aJHi4uIKDW1SU1P1l7/8RY0aNVJYWJhatGihf/7znwXmeTwejRs3TvXq1VOMFz5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5IkSZIkzdUIYy1XXM39GXE48MYkx1bVTQvd+XoZXCU5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\nCa4AAAAAGNL/A+2RZNDXaN5+AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "app = ResLayer_app()\n", "display(app)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" }, "widgets": { "state": { "4a242c6d21d24a68b2dbdf57fb68595b": { "views": [ { "cell_index": 8 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 0 }