{ "metadata": { "name": "", "signature": "sha256:f1a0046bdd9ea8b4b2c8168d334488916e71e7884ed4c7bfa0abfc09e581efdc" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Plots and analysis for chapter 3: QCA characterization" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# imports\n", "import math\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from IPython.display import display\n", "import qca\n", "import coma\n", "import configure_matplotlib\n", "print(qca.__version__)\n", "print(coma.__version__)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "8.2.0-2.g60b16a3.dirty\n", "unknown\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# increases the resolution of the pngs displayed inline, \n", "# so they are big enough even for a small figsize\n", "%matplotlib inline\n", "c = %config InlineBackend.rc\n", "c['savefig.dpi'] = 150\n", "%config InlineBackend.figure_format='png'\n", "%config InlineBackend.rc = c\n", "%matplotlib inline\n", "\n", "configure_matplotlib.configure_matplotlib()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "savefig = False" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Preliminary: Polarization at 45 degrees at larger distances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I had observed, for example in notebook 4 or the paper draft, that for diagonal wires ($\\theta = 45^{\\circ}$), a *qualitative* change in the polarization seems to occur as I go from shorter to longer cell-cell distances. At short distances, cell polarizations alternate, as expected. But at long distances the polarization of the second cell in a three-cell wire, as an example, flips and then all active cells' polarizations have the same sign. This is in disagreement with the derived $J$ at $45^{\\circ}$ which should be always negative, yielding always alternating cell polarizations. Here we have a look at this again. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "def Ps_diagonal():\n", " V1s,doas,theta,PD = [40,200],[3.0,6.0],45,1.0\n", " \n", " rs = []\n", " for V1 in V1s:\n", " for doa in doas:\n", " s = qca.QcaBond()\n", " s.T = 1\n", " s.q = 0.5\n", " s.l = qca.AngleWire(3,V1,doa,theta,PD)\n", " s.init()\n", " s.run()\n", " Ps = s.results['P']\n", " rs.append([V1,doa] + Ps)\n", " print(''.join([s.ljust(p) for s,p in \n", " zip(['V_1','doa','P_1','P_2','P_3'],[5,5,10,10,10])]))\n", " ss = ['{:3d}{:5.1f}{:10.5f}{:+10.5f}{:10.5f}'.format(*r) for r in rs]\n", " for s in ss:\n", " print(s)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "Ps_diagonal()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "V_1 doa P_1 P_2 P_3 \n", " 40 3.0 -0.55058 +0.28950 -0.15535\n", " 40 6.0 -0.01787 -0.00024 -0.00006\n", "200 3.0 -0.99601 +0.99231 -0.98913\n", "200 6.0 -0.09325 +0.00588 -0.00066\n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The table above prints the cell polarizations of a diagonal three-cell wire with an input polarization $P_D = 1$ at two different cell-cell distances and for two different $V_1$. At $V_1 = 40$ and $d/a = 3.0$ the cell polarizations alternate, as expected. But going up to $d/a = 6.0$ the second cell now has a negative polarization as well, which is confusing. However, for a larger $V_1$ the expected behaviour is recovered, even for $d/a = 6$.\n", "\n", "Here is my (new) explanation of what is going on: We know that generally the response of a cell to the driver cell is stronger (gain, non-linear) than the response to another active cell (no gain, linear). Therefore, when the polarization of the adjacent (active) cell is very small, as for the second cell at $V_1 = 40$ and $d/a = 6.0$, then the influence of the driver cell, even though it is farther away, may outweigh the response to the adjacent cell. In this example, the driver cell polarization is $P_D = 1$, $J$ is negative and thus $P_2 < 0$. For larger $V_1$ the adjacent cell's polarization is larger and thus dominates over the influence of the driver cell." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Characterizing a three-cell finite-temperature wire" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def text(p,t,loc='upper right',dx=0.035,dy=0.035):\n", " if loc=='upper right': x,y,v,h = 1-dx,1-dy,'top','right'\n", " elif loc=='upper left': x,y,v,h = dx,1-dy,'top','left'\n", " elif loc=='lower right': x,y,v,h = 1-dx,dy,'bottom','right'\n", " elif loc=='lower left': x,y,v,h = dx,dy,'bottom','left'\n", " p.text(x,y,t,verticalalignment=v,horizontalalignment=h,transform=p.transAxes)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "# This is taken from my QCA paper notebook\n", "\n", "from scipy.optimize import curve_fit\n", "\n", "class CharacterizeAWire(object):\n", " def __init__(self):\n", " self.V1 = 40\n", " self.doa = 2.2\n", " self.T = 1\n", " self.N_plot = 100\n", " self._PP = []\n", " self._POverD = []\n", " self._POverDLog = []\n", " self._POverTheta = []\n", " self.legend_py = 0.3\n", " self.legend_px = 0.3\n", " \n", " def PP(self):\n", " if len(self._PP) == 0:\n", " self._PP = [(0.0,self.calculatePP(0.0)),\n", " (0.5,self.calculatePP(0.5))]\n", " return self._PP\n", " \n", " def POverD(self):\n", " if len(self._POverD) == 0:\n", " self._POverD = [(0.0,self.calculatePOverD(0.0)),\n", " (0.5,self.calculatePOverD(0.5))]\n", " return self._POverD\n", "\n", " def POverDLog(self):\n", " if len(self._POverDLog) == 0:\n", " self._POverDLog = [(0.0,self.calculatePOverDLog(0.0)),\n", " (0.5,self.calculatePOverDLog(0.5))]\n", " return self._POverDLog\n", "\n", " def POverTheta(self):\n", " if len(self._POverTheta) == 0:\n", " self._POverTheta = [(0.0,self.calculatePOverTheta(0.0)),\n", " (0.5,self.calculatePOverTheta(0.5))]\n", " return self._POverTheta\n", " \n", " def calculatePP(self, q): \n", " r = []\n", " s = qca.QcaBond()\n", " for P in np.linspace(-1,1,self.N_plot):\n", " c = [P]\n", " s.q = q\n", " s.T = self.T\n", " s.t = 1\n", " s.l = qca.Wire(3,self.V1,self.doa-1,P)\n", " s.init()\n", " s.run()\n", " c.extend(s.results['P'])\n", " r.append(c)\n", " return np.array(r)\n", "\n", " def calculatePOverD(self, q):\n", " r = []\n", " s = qca.QcaBond()\n", " for boa in np.linspace(0.1,5,self.N_plot):\n", " c = [boa+1]\n", " s.q = q\n", " s.T = self.T\n", " s.t = 1\n", " s.l = qca.Wire(3,self.V1,boa,1.0)\n", " s.init()\n", " s.run()\n", " c.extend(s.results['P'])\n", " r.append(c)\n", " return np.array(r)\n", " \n", " def calculatePOverDLog(self, q):\n", " r = []\n", " s = qca.QcaBond()\n", " for boa in np.logspace(-1,2,self.N_plot):\n", " c = [boa+1]\n", " s.q = q\n", " s.T = self.T\n", " s.t = 1\n", " s.l = qca.Wire(3,self.V1,boa,1.0)\n", " s.init()\n", " s.run()\n", " c.extend(s.results['P'])\n", " r.append(c)\n", " return np.array(r)\n", " \n", " def calculatePOverTheta(self, q):\n", " r = []\n", " s = qca.QcaBond()\n", " for theta in np.linspace(0,180,self.N_plot):\n", " c = [theta]\n", " s.q = q\n", " s.T = self.T\n", " s.t = 1\n", " s.l = qca.AngleWire(3,self.V1,self.doa,theta,1.0)\n", " s.init()\n", " s.run()\n", " c.extend(s.results['P'])\n", " r.append(c)\n", " return np.array(r)\n", " \n", " def plotPP(self):\n", " a = self.PP()\n", " cols = 2\n", " rows = 1\n", " fig,ps = plt.subplots(rows,cols,figsize=(2.5*cols,2.5*rows))\n", " for p,(q,d) in zip(ps,a):\n", " p.plot(d[:,0],d[:,1],label='$P_1(P_D)$')\n", " p.plot(d[:,1],d[:,2],label='$P_2(P_1)$')\n", " p.plot(d[:,2],d[:,3],label='$P_3(P_2)$')\n", " p.set_xlabel('polarization')\n", " p.set_ylabel('polarization')\n", " p.set_xlim((-1,1))\n", " p.set_ylim((-1,1))\n", " text(p,'$q = {}$'.format(q),loc='lower right')\n", " ps[1].legend(loc='upper left',\n", " labelspacing=self.legend_py,\n", " handletextpad=self.legend_px)\n", " fig.tight_layout()\n", " plt.close()\n", " return fig\n", " \n", " def plotPOverD_old(self):\n", " a = self.POverD()\n", " cols = 2\n", " rows = 1\n", " fig,ps = plt.subplots(rows,cols,figsize=(2.5*cols,2.5*rows))\n", " for p,(q,d) in zip(ps,a):\n", " for i in range(3):\n", " p.plot(d[:,0],d[:,i+1],label='$P_{}$'.format(i+1))\n", " p.set_xlabel('$d/a$')\n", " p.set_ylabel('polarization')\n", " text(p,'$q = {}$'.format(q),loc='lower right')\n", " ps[1].legend(loc='upper right',\n", " labelspacing=self.legend_py,\n", " handletextpad=self.legend_px)\n", " fig.tight_layout()\n", " plt.close()\n", " return fig\n", "\n", " def plotPOverD(self):\n", " a_ = [self.POverD(),self.POverDLog()]\n", " cols = 2\n", " rows = 2\n", " fig,ps = plt.subplots(rows,cols,figsize=(2.5*cols,2.5*rows))\n", " for p,(q,d) in zip(ps[0],a_[0]):\n", " for i in range(3):\n", " p.plot(d[:,0],d[:,i+1],label='$P_{}$'.format(i+1))\n", " p.set_xlabel('$d/a$')\n", " p.set_ylabel('polarization')\n", " text(p,'$q = {}$'.format(q),loc='lower right',dy=0.07)\n", " \n", " for p,(q,d) in zip(ps[1],a_[1]):\n", " for i in range(3):\n", " p.plot(d[:,0],d[:,i+1],label='$P_{}$'.format(i+1))\n", " p.set_xlabel('$d/a$')\n", " p.set_ylabel('polarization')\n", " p.set_xscale('log')\n", " p.set_yscale('log')\n", " p.set_yticks(np.logspace(-10,0,6))\n", " p.set_xlim((1,100))\n", " p.set_ylim((1E-10,1))\n", " text(p,'$q = {}$'.format(q),loc='lower right',dx=0.16)\n", "\n", " text(ps[0,0],'(a)',loc='upper left',dy=0.05)\n", " text(ps[0,1],'(b)',loc='lower left')\n", " text(ps[1,0],'(c)',loc='lower left')\n", " text(ps[1,1],'(d)',loc='lower left')\n", " ps[0,1].legend(loc='upper right',\n", " labelspacing=self.legend_py,\n", " handletextpad=self.legend_px)\n", " fig.tight_layout()\n", " plt.close()\n", " return fig\n", "\n", " def plotPOverDLog(self):\n", " a = self.POverDLog()\n", " cols = 2\n", " rows = 1\n", " fig,ps = plt.subplots(rows,cols,figsize=(2.5*cols,2.5*rows))\n", " for p,(q,d) in zip(ps,a):\n", " for i in range(3):\n", " p.plot(d[:,0],d[:,i+1],label='$P_{}$'.format(i+1))\n", " p.set_xlabel('$d/a$')\n", " p.set_ylabel('polarization')\n", " p.set_xscale('log')\n", " p.set_yscale('log')\n", " p.set_xlim((1,100))\n", " p.set_ylim((1E-10,1))\n", " text(p,'$q = {}$'.format(q),loc='lower right')\n", " ps[1].legend(loc='upper right',\n", " labelspacing=self.legend_py,\n", " handletextpad=self.legend_px)\n", " fig.tight_layout()\n", " plt.close()\n", " return fig\n", "\n", " def fitPOverDLog(self):\n", " f = lambda x,a,b: a*x**b\n", " r = []\n", " a = self.POverDLog()\n", " for q,d in a:\n", " #print('q = {}'.format(q))\n", " #e = d[ (d[:,0] > 2) & (d[:,0] < 3) ] # also very interesting\n", " row = []\n", " e = d[d[:,0] > 10]\n", " for i in range(3):\n", " #print('P_{}'.format(i+1))\n", " ps,cov = curve_fit(f, e[:,0], e[:,i+1])\n", " es = np.sqrt(cov.diagonal())\n", " row.append(zip(ps,es))\n", " #print(' a = {:.4f} +- {:.4f}\\n b = {:.4f} +- {:.4f}'.format(ps[0], es[0], ps[1], es[1]))\n", " r.append((q,row))\n", " return r\n", " \n", " def plotPOverTheta(self):\n", " a = self.POverTheta()\n", " rows = 1\n", " cols = 2\n", " fig,ps = plt.subplots(rows,cols,figsize=(2.5*cols,2.5*rows))\n", " for p,(q,d) in zip(ps,a):\n", " for i in range(3):\n", " p.plot(d[:,0], d[:,i+1],label='$P_{}$'.format(i+1))\n", " p.set_xlabel('$\\\\theta$')\n", " p.set_ylabel('polarization')\n", " p.set_xticks([0,45,90,135,180])\n", " text(p,'$q = {}$'.format(q),loc='lower right')\n", " ps[1].legend(loc='upper right',\n", " labelspacing=self.legend_py,\n", " handletextpad=self.legend_px)\n", " text(ps[0],'(a)',dx=0.05,loc='lower left')\n", " text(ps[1],'(b)',loc='lower left')\n", " fig.tight_layout()\n", " plt.close()\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "e = coma.Experiment('../experiments/experiment.000045/')\n", "rs = e.retrieve_results(\n", " (\n", " ('P_D','parameters/layout/P'),\n", " ('P','results/P'),\n", " ),\n", " (\n", " ('model','parameters/model'),\n", " ('q','parameters/q'),\n", " ('T','parameters/T'),\n", " ('boa','parameters/layout/boa'),\n", " )\n", ")\n", "#rs" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "def PP_figure(rs):\n", " cols = 2\n", " rows = 2\n", " ls = ['(a)','(b)','(c)','(d)']\n", " ls.reverse()\n", " fig,ps = plt.subplots(rows,cols,figsize=(2.5*cols,2.5*rows))\n", " for ps_,T in zip(ps,[1,1E-9]):\n", " for p,r in zip(ps_,rs['T',T]):\n", " d = np.row_stack((-r.table,r.table))\n", " d = d[ d[:,0].argsort() ]\n", " p.plot(d[:,0],d[:,1],label='$P_1(P_D)$')\n", " p.plot(d[:,1],d[:,2],label='$P_2(P_1)$')\n", " p.plot(d[:,2],d[:,3],label='$P_3(P_2)$')\n", " p.set_xlabel('polarization')\n", " p.set_ylabel('polarization')\n", " p.set_xlim((-1,1))\n", " p.set_ylim((-1,1))\n", " q = r.parameters.q\n", " T = r.parameters.T\n", " if T < 0.01: T = 0.0\n", " l = ls.pop()\n", " text(p,l,loc='upper left')\n", " dy = 0.38 if l=='(b)' else 0.035\n", " text(p,'$T {} {:d}$\\n$q = {}$'\n", " .format('=' if T!=0 else '\\sim',int(T),q),\n", " dy=dy,\n", " loc='lower right')\n", " ps[0,1].legend(loc='lower right',\n", " labelspacing=0.3,\n", " handletextpad=0.3)\n", " fig.tight_layout()\n", " plt.close()\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "w = CharacterizeAWire()\n", "w.N_plot = 100\n", "# w.doa = 3.0 # PP plot is not very meaningful for doa = 3.0\n", "# w.T = 2 # again: PP plot not good -- only very small gain; not fully polarized\n", "f1 = PP_figure(rs)\n", "f2 = w.plotPOverD()\n", "fit = w.fitPOverDLog()\n", "f3 = w.plotPOverTheta()\n", "\n", "if savefig:\n", " f1.savefig('../plots/chapter03/three_cells_PP.pdf')\n", " f2.savefig('../plots/chapter03/three_cells_P_over_d.pdf')\n", " f3.savefig('../plots/chapter03/three_cells_P_over_theta.pdf')\n", "\n", "display(f1)\n", "display(f2)\n", "display(f3)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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M5MiRI/ePeXl5MXr0aKpVq8bx48fZtWsXbm5uvPfee4/NxE8WGhpKeHg4DRo0sFbowsmZ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P31ULiw3ZH4hwX7FzBo4SAW9VpEo8qN7A5HRLyAinHXGBUxii1/bGFztdcJ7vsQLFsG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\nmvP8DilcnTp1SE5OPtZ6cfToUVJSUihTpkxY+x76tWvXji1bt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9jsnLU1uAHTo02AiFEMHM0zm7aztKhaWCESHxUFMDI0cO5dLG02GHlNzkXOqt\n9ZQ3lHcaMm4cJCTArn5tHimCTVlZGWazmUmTJnV7zWazceHCBeLi4nwQmedJO0r7zEm8i9ecz/V+\nnjr8HAgHbtR1/aDjOQtwr6Zpk4BvaJr2qK7rR/oKZt26dd1+E5w+fTrTp/e1zsg43j76Nj+76meD\nfr+zL3z1DNebgZtMambl/ffBxd9ZIbxi165d7OpSVdhsNh9FE1QMn7Nra6eTktKesy9aLjLTNl6t\n1gwP7+uS/sW5Q4rNRkhICHmpeey7sI8RsSMuDTGZ2vvCZ7le7iPcyG6302pr9epnhoWE9Xoydm8O\nOH6JmzhxYrfXiouLaWxs5MYbbxxSfGDMnC1FODiTbA7dF/JkdxnTk8uAyg7JvKPNwHJgWj+uw6pV\nqwgN7f+OIkZT01TDvgv7KBxXOOhrLM5azIPvPYjdbu/xL7WzJeWb3xz0xwgxJK5+OW5ra2Pbtm0+\niihoGD5nP/ts93aUDOu4wGtFAbVDyrBhcOIEjB9Pflo++y7so2h8UadhhYXw6qtwzz2+CTOYtNpa\niXg4wqufaX3QSnjo4H7BLCkpISYmhtFd/n4UFxezfv16br75ZgoKCoYcoxFzthThKuHeBywBXury\nmjOLfNjHNaxAvKZpYbqud/31M6XDmIC34+wOpqRNYVj4sEFfIzcplxBTCIcqDzEpxfVUd2Eh/PKX\nsl+4EEHI8DnbVTtKen1rYJ2W6WQyqdnwAwdg/Himpk1lb/nebsMKC9XCTJsNAnCTC0MJCwnD+qB3\nS46wkMGVk62trZSWlpKQkMCGDRsuPdfY2EhGRgb3339/wLaigBThABuBM8CXNU17TNf1wwCOW5K3\nAsW6ru92PBeGmn1p6LJw5wPgs6gjkB92Pqlp2ijUNljNqCOVA96OczuYNXJo9xtNJhMFYwvYempr\nj0X41KnQ3AylpTBhwpA+TgjhXwyfs13tjjK8uinw+sGdnIszV6xgatpUXtz/Yrch2dkQHQ1798Jl\nl/kgxiBiMpkGPSvtbUePHsVqtVJYWEhRUVGP4/bu3cvFixc5d+4cbW1t3HzzzURGRnoxUs8I+iJc\n13WrpmnfAv4JfKRp2vOACXDuhdOx4WE0ak/ZD4CrOjz/IGpxz081Tbsa+ARIBj4HxAE/1nW90qM/\niEHsOLeDxeMWD/k6BWMK2Hp6K1+b6XqnsJAQWLAANm+WIlyIYGL0nG23d98d5aLlInGWVkhKGswl\njS8vD3YODkOBAAAgAElEQVTsAGBq2lT2X9jf7eRjk0nl7C1bpAgX7Q4eVB1heXl5PY6pqKigtraW\nxYtVbfHHP/6Rl19+OSC2LJSbQoCu62+gbmPuAW4DvoSaBSnQdX27i7d02n9J1/V9wOWovWezge+g\nkvku4BZd13/useANZvvZ7T0etDMQBWMK2HJqS69jFiyArVuH/FFCCD9j5JxdV6cK8QTHJolNrU3U\nW+uJbmgGxyEkAWfCBHVbEhgZO5LIsEhO1JzoNmz+fMnZorODBw+SmJhIRkZGj2POnDnD66+/funx\n5MmTOXz4sDfC87ignwl30nX9fdQpar2NOUEPv7g4jkz+irvj8ifVjdWcqTtDflr+kK81c+RMTted\n5kLDBdJi0lyOmT8fnnpqyB8lhPBDRs3ZlZVqFtzZ91xpqSQ+Mp7QmjoYPtzdH2cMublwRK1hNZlM\nTE2byr4L+xg/fHynYfPnw29+44sAhRE1NDRw8uRJ5s2b1+u4/Px8UlNTLz2uqqoiLc11XeBvZCZc\nuE3xuWKmpk0lMmzofVqRYZFcnnE5/z797x7HzJihToE+3/O5PkII4VU9HtRTXR24RXhmpvr5atXO\nkFNTVRHeVX6+2ir91ClvByiMpLy8nKeffppHH30UUH3ha9eupa7O1flbEBoayijHoubGxkZ27drF\n5z//ea/F60kyEy7cxh2LMjtytqTcMOkGl69HRMCVV6rbmwHy91EI4ee6Lsq8aLmojqyvqQncdpSw\nMMjKUi0ps2eTn57PByc/6DYsNBTmzlV94QHQzisGKT09ndtvv33A77Pb7bz88susXr2a9PR0D0Tm\nfTITLtxm+9ntzM6Y7bbrFYxVizN7M3++SuhCCGEErrYnTBmWEtgz4aBaUhx94c52FFekL1wM1saN\nG1m8eDFZWVlcvHjR1+G4hRThwm3cPRM+b8w8dp7bSWNLY49jCgqkCBdCGIerdpSgKcIdfeFTUqdw\nqOIQ1rbue1XLxIkYjG3btpGZmUlMTAy1tbXs3LnT1yG5hbSjCLdwLsqcmjbVbddMik5iXOI4dp7f\nybwxrhduzJ0Le/ZAfT3Exrrto4UQYlBc7RGeGh3g7SgAOTnwyScADI8eTnpsOqWVpUxJm9Jp2BVX\nQElJ4P/nEO5z5MgRnn32Wez29k2OFi1a5LuA3EiKcOEWO87tcNuizI5mZcxi57mei/CEBJg8GbZt\ngyVL3PrRQggxYJWValLYqcJSwfjwdGhtbd+3MBDl5sJzz116ODVtKnsv7O1WhMfEqH3CP/4Yli71\ndpDCH+Xk5PDkk0/6OgyPkHYU4Ra7zu9i5oiZbr/uzBEz2XFuR69j5PamEMIoXB3UM7I1CuLjA/u8\n9g494QB5KXkcuHjA5dD58+HDD70VmBDGFcAZQXhTSUUJeak9n3g1WLMyZlF8rrjXMVKECyGMwlU7\nSnpLZGD3gwOMHatOKqquBmBy6mQOVhx0ObSgAD76yJvBCWFMUoQLtyipKGFiykS3X3fGiBkcuHiA\nptamHscUFKh2lLY2t3+8EEIMiKvdUVKtYYFfhDu3KXQszpycMpmDF10X4XPnqpzd2urNAIUwHinC\nhVuUVJQwKWWS26+bEJVAZmIme8v39jhmzBjVarnP9Y5YQgjhNV3bUWqbaom3tAXHKsQOLSmTUydT\nWlVKq617pZ2RAWlpalG9EMFMinAxZBWWCuqt9WQmZHrk+jNHzuyzJWXePPh3z4drCiGEx9nt3dtR\nzFYzMZaWwJ8Jh05FeFJ0EolRiRyvPu5yqORsIaQIF25wqOIQucm5hIaEeuT6M0dIES6EML66OlWI\nd9wEpd5aT3R9c9AV4eBoSemhL1xythBShAs38FQritOsjFl97pAiCV0I4WuVlZCU1L4JirXNirXN\nSlSdJTjaUXJyLvWEA0xKmdRjX7jkbCGkCBduUFJRwqRkzxXhM0bMYO+FvS5PX3OaPh3OnYPz5z0W\nhhBC9KpbK0qzmYjQCELrzDIT3kV+vvrvVVbmreCEMB4pwsWQlVR6ZmcUp+RhyYyMHdnjnrMA4eHq\nJDaZWRFC+IqrfvC4iLjAP7LeaexYMJv7tU1hWBhceaVsVSiCmxThYsg83Y4CjpaUs9KSIoQwrsrK\nzjujmJvNxEU6ivBgaEcJDYXMTDiuFmM6tynseNx4R5KzRbCTY+vFkDS3NnO8+jgTkz03Ew6qJWXn\n+Z29jpk3D37xC4+GIYQQPeo6E15vrVcz4TU1wTETDmqv8OPHYeZMRsePxo6dc/XnyIjL6DZ03jx4\n6CEfxCgMo6qqivXr13Ps2DGqqqqYMGECiY5fWBsbG6mpqWHGjBksXbqUkAA8cVaKcDEkR6uPMiJ2\nhJrt8aBp6dN499i7vY6ZOxeKi6GpCaKiPBqOEEJ047IdJZhmwgHGj4djxwAwmUyXFme6KsLnzIGd\nO6GxEaKjvR2oMIKkpCRuv/121q5di8Vi4e677+5UbNfU1PDQQw9RU1PDypUrfRipZwTerxXCqzx1\nUmZX+Wn57C3f2+NtTVC3gceNU4W4EEJ4W9fTMs3NZmIjYoNvJtxRhEPvizOHD4fsbNjRe6ehCAIl\nJSXk5OR0m+1OTEwkLS2NTz75xEeReZahZ8I1TYsAcoFEwOUm1Lqub/ZqUKITT++M4pSZmEmLrYUy\ncxmj40f3OM7ZYzhvnsdDEkJ0Eew5+ytfUVsUOgXdwkxQM+H/+telh71tUwjqDuZHH8H8+d4IThhR\nWVkZZrOZSZO61xI2m40LFy4QF+fZu+2+YsgiXNO0MODXgAbE9DLUTg+JXnjHocpDzB452+OfE2IK\nuTQb3lsRPncuvPWWx8MRQnQgOVvp+su/udlMYmgMNDQEZTsKqJnwjcc29jh87lx4801vBBZE7HZo\nbfXuZ4aFgck0qLceOKB2Pps4sftd9eLiYhobG7nxxhuHFJ5RGbIIB34FfBc4APwdOAt4+f8o0R8l\nFSXcmn+rVz4rPy2fPeV7uDb32h7HzJsHP/6xykGDzAdCiIGTnO1CvbWetJYI1fAcGenrcLwjKwtO\nnoS2NggNZVLKJA5VHupx+Ny58KMfSc52q9ZWiIjw7mdarWqv4EEoKSkhJiaG0aM7T7AVFxezfv16\nbr75ZgoKCtwRpeEYtQi/FdgNXKnres8ntAifO1p1lOzh2V75rGnp0/joTO+byk6erBb5nDyp+sOF\nEF4hOdsFs9VMSnNo8LSigPpZo6Ph7FkYM4bspGzK68upa64jPjK+23Bnzj5xQtXvwg3CwlRR7O3P\nHITW1lZKS0tJSEhgw4YNl55rbGwkIyOD+++/P2BbUcC4RXg88FdJ5sZmbjZT3VTN2ISxXvm8/PR8\n9GK91zEhIWrF/b//LUW4EF4kOdsFc7OZiU0hwdOKAmo627lN4ZgxRIRGMH74eA5XHmZ2RvfWRWfO\n/ugjKcLdxmQa9Ky0tx09ehSr1UphYSFFRUU9jtuzZw9NTU3U19dz9uxZvvCFLxDh7dl+DzDq7ig7\nAfnraHAnak4wOn404aHe+cuen5bPwYsHaWlr6XXcvHlyCpsQXiY52wWz1czwZlNwzYRDt77wiSkT\nOVTRe0uK5OzgdPCgWrSbl5fX45jGxkaefPJJsrKyWLx4MXV1dbz7bu9bFvsLoxbh9wPLNE3ruflX\n+NyJmhOMSxzntc8bHj2c9Nj0XvsLQSV0OYVNCK+SnO2C2WomwWILviLcORPuMDF5Yq95WyZOgtfB\ngwdJTEwkI6P7PvJO0dHRPPDAA6SmpgJqxxSrt9ttPMSo7SiLgfeBNzRN24TqNaxzNVDX9Z96MS7R\nwfGa42Qlenfyy7k4c2ra1B7HXHkl7NunNiSI6W2fBiGEu0jOdqHeWk98Y3JwtaOAmgnvUFVPTJ7Y\n62FrV14Je/dKzg42DQ0NnDx5knn92FN4zJgxAFgsFsrLy7n1Vu9sCOFpRi3Cf9Lhz0scXz0JmoRu\nNCdqTni9CJ+WPo295Xshv+cx8fEwcSJ8+iksWuS10IQIZpKzXTA3m4ltaA2+mfDx4+G55y49nJgy\nkSc+faLH4fHxMGECbN8OhYXeCFD4Unl5Oa+99hrnzp0DVF/42rVruemmm4iP77541+nAgQPs2rWL\nz372swwPkL9TRi3CF/s6ANG34zXHuWHiDV79zPy0fJ7f93yf45yH9kgRLoRXSM52wWw1M6zeCmlB\nNhPuoh2ltLIUm91GiMl1F6yzJUWK8MCXnp7O7bffPuD35eXlkZeXx9q1a7lw4QLLly/3QHTeZcgi\nXNf1930dg+jb8erjZA33cjtKej57N+3tc9y8efCPf3ghICGE5OwemJvNRNc3wcTAmLXrt8xMKC9X\new9GR5MWk0ZkWCSna0+TmZjp8i3z5sHLL3s5TuEXduzYwYYNG/jZz34GQE5ODi+//HJAFOFGXZjZ\njaZpso2/wfiiHWVi8kTO1Z+jtqm213HOmXCbzUuBCSE6kZytesIj6xuDrx0lKgpGjlSbfwMmk6nP\nxZnOBfV2u5diFH5l8uTJl/5cWVlJZqbrX+b8jSFnwgE0TQtBHYH8ZWAaMEzTNAtqwc9fAF3Xdfnr\n6iPVjdVYWixkxPW8otkTIsMiyUnK4WDFQeaMntPjuOxsCA2Fw4dh0iQvBihEkJKc3Z3Zaiairj74\nFmZC+zaFjuJpYspESipK+Ez2Z1wOz81V30tLVX+4EE6zZs2itraWjRs30tbWRnV19aDaWYzIkDPh\nmqZFAu8AfwSuBCqATx3f5wBPAu9qmub/O7X7qRM1JxibMJbQkFCvf/aU1Cnsv7C/1zEmU/tsuBDC\nsyRnd2dts2JtsxJaaw6+mXBQfeEd9wpP7n2vcGfOlq0KhSuLFy+mqKiIa665hq997WskJCT4OiS3\nMGQRDvwnaqHPC0COrutZuq7P0XU9C8gG/uZ4/Qc+jDGoHa857tU9wjuakjqF/Rd7L8JBinAhvEhy\ndhfmZjMRoRGE1JnV9h/BJisLTp689LCvdhSQnC2Cj1GL8FuBT3VdX6nr+omOL+i6fhL4EvCJY5zw\nAV/0gztNSZMiXAiDkZzdhdlqJi4iDurrIS7O1+F437hxnXdISem7CJeD1kSwMWoRngls6ulFR1/h\nv4Bx3gpIdOaLnVGc8lLz+mxHAZg1C44ehaoqLwQlRHCTnN1FvbWeuMg4dQJNbKyvw/G+ceMuLcwE\nyEnK4Zz5HPXW+h7fcvnlah1PTY3nwxPCCIxahNcBY/sYMxrofYsM4TEnar17ZH1HE5InUN5QTk1T\n75k6OhpmzICPP/ZSYEIEL8nZXZibzcSFx6qZ8GA8BrJLER4VFkVmYiaHKw/3+JZhw2DaNNi2zfPh\nCWEERt0d5T3gJk3T/qbr+htdX9Q07VrgZmC9uz5Q07RFqFPfZgOtwEfAA7qu7xrANZKB+4HrUf/g\nmIEDwBO6rr/krliN4Hi194+sd4oIjSA3KZcDFw8wb0zvx906W1KWLfNScEIEJ6/mbH/I12armRRT\njNpzb9iwoV7O/4weDbW1UFd3qSfeuThz5siZPb7NuTjzmmu8FagQvmPUIvzHwFLgVU3TtgAfAuVA\nOrDA8VXrGDdkmqYtB14FqoFnABOwEtiqaVqhruvb+3GNXNTt1hTgNeBFIBG4DHWEc8AU4Xa7neM1\nvmtHAUdf+IX9fRbhBQXwhz94KSghgpfXcra/5Gtzs5kUW5QqwEO9v4uUz4WFwZgxanFmfj6givDe\nZsJB9YWvXeuNAIXwPUMW4bquH9Y0bQFqWytnAu9oC3CHruu9/23uB8eWWU8BFmCuruuljuefAHY4\nXpvdxzXCgZdR7T0zdF0/2OX1gMrAFZYKbHYb6THpPouhvzukzJ0LX/kKtLRAeLgXAhMiCHkrZ/tT\nvjZbHUV4MPaDOzkXZzqK8AnJE/jw1Ie9vqWgADQN2tqC83cXEVyM2hOOrut7dV2fD4wHbgC+4vie\npev6Ql3X97npo64GRgF/cSZ0x+cfAp4DZmqaNr2Pa3wRmAr8Z9eE7rhWm5tiNYQTNSfITMjEZPLd\ngXj9LcIzMiA9HXbv9kJQQgQxL+Vsv8nX9dZ6km2RUoR36Avvzw4pY8aos4327vVsaEIYgSFnwjty\nbHd1woMf4ZyxcbWyfxPwdWA+0Fuv4Y2ADXhF07TJwGeACGAP8K6u6wF1ePrputOMTehrDZZnOdtR\n+qOgALZuhdm9zo8JIdzBwznbb/K1udnM8LYIKcI7FuGOdhS73d7rJI4zZ0/v69epINLWFlBzeR7n\nL/+9DF+Ee0GO4/tRF68d7TKmJ7NQJ8N9F3ioy2t7NE27Ttf104MP0VhO155mTPwYn8aQm5RLhaWC\n6sZqhkf3fhpdQQFs2gTf+Y6XghNCeIrf5Guz1Ux6a1hw7ozilJUFGzZcepgRlwHAWfNZRsWP6vFt\n8+apIvzOOz0eoeGZTCaioqJYs2aNr0PxO1FRUT69Y98fhijCNU07DtiBJbquH+/wuDcmwK7r+vgh\nfrzzKLM6F685n+vrfNQUIBR4EPg28DwQgzpF7g7UIp8rhxinYZypO8Po+NE+jSE8NJzc5Fz2X9zP\n/LHzex1bUAA//anapMDgfx+F8As+zNl+k6/NzWYSWkJlJrzDgT0mk4kJyRM4VHmo1yK8oAAeecQL\n8fmBkJAQHnvsMez2vv56ia5MJhMhIYbtugYMUoQDJ1EJvLXD4/4wyv+VIaik/ntd159wPFcF3KVp\n2gxgrqZp83Vd3+KzCN3odN1plmQt8XUYTEmdwoGLB/oswqdMAYtF3RXN8t2GLkIEEn/O2V7J12ar\nmfiWECnCO7SjQHtLyuKsxT2+bdo0qKyEM2fUTofBzuiFpBg8QxThuq4v6u2xhzlnT+JdvOZ8rq8D\nJmqBJNRWV129DswFZqJ2COjVunXruv2Fmz59OtMN1Bx3pu4MYxJ8244C7UV4X0JC1O3NLVukCBfu\ns2vXLnbt6tx6bLMF1PKPHvkwZxsqX0PPObveWk+cNSa4i/CMDHVYUU2NWm1J+17hvQkLgzlzVEvK\nzTd7I1ARDIyYsw1RhPvYEcf3HLov5snuMqYnh1GJ21Xyd/6jEd2fYFatWkWowfdlMkI7Cqjj6/+3\n+H/7Nda50OfLX/ZwUCJouPrluK2tjW1y3J8nGSpfQ88527zPTExLkBfhHfcKdxbhKRP5v93/1+db\nnTlbinDhLkbM2Ya8x6Fpmk3TtF4PddA07UFN09yx/HWz47ur/ooix/feNzZVhz4A5Ll4bbLj+6kB\nxmVIbbY2ysxlPl+YCaoI789MOLQndCGE+3kxZ/tNvjY3mxnWbAvuhZnQrS98YnLf2xSC5GwRHAxZ\nhPeTyfE1VBuBM8CXNU2b4HxS07RJwK1Asa7rux3PhWmaNknTtK4V6DNAC/CfmqbFdbhGLrAKqAfe\nckOsPneh4QJRYVHER7q6G+xducm5lDeUU9vU191nuOIKOHwYqqu9EJgQwhV35Gy/yddmq5no5rbg\nngkH1QPYoS88NzmXkzUnaW5t7vVtc+bAvn2qm0WIQOXPRfg4VLIcEl3XrcC3gCjgI03THnecvvZv\nx5Bvdhg+GjgA/F+XaxxFrbTPB3Y7rrEW+BR1W/NuXdcDovw7Xae2JzTCtj8RoRHkJOVwsKLbeRvd\nDBum9pz96CMvBCaEcGUcQ8zZ/pSvzc1moppapQjvsjgzNiKWEbEjOFLVe9dQfDzk5cHHH3s2PCF8\nyTA94ZqmPYNaOe+s7m7QNG2ci6EhqBPTrqL9tuKQ6Lr+hqZpRcBPgNuANmAr8ENd110d+tBthb+u\n67/VNO0kcA/wVdRhENuBX+m6/o474jQCo/SDO01JVYf2zBk9p8+xCxbAhx/CsmVeCEyIAOernO0v\n+breWk9EY4sU4ePGwY4dnZ6amKJ2SJmSNqXXtzpzdlFRr8OE8FuGKcJRtwE7mu746skOwG3Hr+i6\n/j7wfh9jTtDL3QNd1/8O/N1dMRnR6drThirCB9IXvmAB/OY3Hg5IiODhs5ztD/nabDUT0WSVIrxL\nTzj0vy98wQJ48kkPxSWEARipCB9P+6zKMeD3wO/o3kNoA6p1XTd7NzwBju0JDbAo0ykvNY91u9f1\na+z8+WqlfWMjRPd77wMhRA8kZ/fA2mbF2mYlzNIkCzOdPeEdTkubmDyRned39vnWBQvgttvAaoWI\nCM+GKYQvGKYId8xaAKBp2mpgp67r/T0AQniJUQ7qcRrITHhyMuTkwCefQGGhhwMTIsBJzu6ZudlM\nRGgEIQ0WmQkfOVLNfNTUwPDhAExKmcQL+1/o860jRqitxouL1UJNIQKNYYrwjnRdf9bXMQjXjHJQ\nj9OE5AmU1ZVhbjYTFxnX5/gFC2DzZinChXAnydmd1VvriYuIU1t7BHsRHhoKY8eq2fAORfihikPY\n7fY+F/k7+8KlCBeByJBFuJOmacOA2cBIINLVGF3X+971X7iN0RZmRoVFkZ2UTUlFCZePurzP8QsX\nwjPPeCEwIYKQ5GzFbHVMCkgRrjj7wmfMAGBMwhiaWpu4aLlIWkxar29dsABeeQXuvdcLcQrhZYYt\nwjVNuw+1jVRvGcxOl+2nhOc4D+oxUhEO7S0p/SnCFyyAr38dWlvVYW5CCPeQnN3O3GwmNiIWGsql\nCIdue4WHmEKYkDyBkoqSfhXh3/se2GwQ4s+bKgvhgiH/l9Y07SvAr1Ann33e8fQ64BbgCcAKvAIs\n9kmAQcp5UE9CZIKvQ+kkL6X/feGjR0NaGuzse02QEKKfJGd3ZmmxEBMeIzPhTl32CgfVklJSUdLn\nW7OzITISDvQvxQvhVwxZhAN3AUeA63Rdf8Xx3HFd11/Udf3bwCJgBTDWR/EFpdN1antCIxzU01Fe\nah77L+7v93hnj6EQwm0kZ3fQ0NJAXNgwtSAx2HdHgZ63Kazoe5tCk0lytghcRi3C84B3dF23OR7b\n6dA6o+v6x8BrwHd9EFvQMtr2hE5T0qYMqAhfuFAtzhRCuI3k7A4sLRaGt0Wo/omoKF+H43td2lHA\nMRNe2fdMOKic/cEHHohLCB8zahHeRufjjRuA1C5jjgGTvBaRMNxBPU4TkydyuvY0DdaGfo0vLFRF\nuM3W91ghRL9Izu7A0mIhqS1CtaIY7M6hTzjbUezth5dOTJnYr3YUgEWLVBFu73b2qRD+zahF+Gk6\n37Y8ACzsMmY2UOm1iIRhZ8Kjw6PJGp7FwYqD/RqfnQ3DhsGePR4OTIjgITm7A0uLheGt4dIP7jRi\nBLS0QFXVpacmJE/gZM1Jmlqb+nx7Xp5aTH/4sCeDFML7jFqEvwdcpWmaM77/AyZrmvaGpml3aJr2\nPKrH8FVfBRiMzpjPMCp+lK/DcGlK6hT2X+hfS4rJBFddBe+/79mYhAgikrM7aLA2kNAWJkW4U0gI\nZGZ26guPjYglIy6DI1VH+vX2wkLJ2SLwGLUI/1/UyvqRjsd/Ap4GrkWttP8i8Dpwv0+iC1JldWWM\nijNmET6QkzNB3d6UhC6E20jO7sDSYiG+JVQWZXbkYoeUwbSkCBFIDLlTsq7re4EfdHjcBmiapv0Y\nGAec1nW9zEfhBa2z5rOGngn/276/9Xv8okXq8AfZe1aIoZOc3Zkqwk0yE96Rq20Kkyf1a4cUUDPh\nv/iF6guXNnsRKAxZhPdE1/XzwHlfxxGM7HY7ZeYyMuIyfB2KSwPdIWX8eDVJtWcPTJ/uwcCECGLB\nmrMtLRbirCFShHfUww4pH5d93K+3T5kCViuUlsKECR6ITwgfMOQcoKZpxzVN26dp2oJexnxH07Rj\n3owrmNU01dBmayNlWIqvQ3HJuUNKvbW+78GomRRpSRHCPSRnd9bQ0kCs1S5FeEeu9gofQDuK9IWL\nQGTIIhzIRO07+66mad/sYcxw1G1O4QVl5jJGxo0kxGTM/2WcO6T0N6GDFOFCuJHk7A4sLRZirEgR\n3lEvp2ba+7n3oORsEWiMWVEpa4F9wB81TXtK0zS/ap0JNEZelOk0kB1SoH2hT1ub52ISIohIznaw\ntFgYZrXJwsyOXOwV7vw3pczcv+UCziJc9gsXgcLIRfhpYAHwN0AD3tM0revhD8JLjLwo02lK6sD7\nwuPiYNcuDwYlRPCQnO3Q0NJAdFObzIR3lJ6uVsJXVFx6ymQyMTllMgcv9u+MhylT1HbjJf2/4SmE\noRm5CEfX9UZd129FbWtVAGzXNG2Gj8MKSmXmMjJijbko0ykvNW9ARbjJBEVFsGmTB4MSIohIzlYs\nLRaimlqlCO/IZFKz4cc6LwsYyPayISGweLHkbBE4DF2EO+m6/mtgBZAAbNE07RZAbkh5UVldmfFn\nwtOmDGivcIAlS2DjRg8FJESQCvacbWmxENnUIkV4V+PHd1ucOTllcr9POwaZOBGBxS+KcABd1/8f\ncCVwBngOWEUQJXVfO1t/1vA94ZNSJnGm7ky/d0gBVYRv2QJNfZ+cLIQYgGDO2ZYWCxFShHeXldWt\nCB/oQWtLlqi+cFnLIwKBkYvwbtvx67p+CJXU30atspct+72krM64e4Q7RYVFMX74+AEl9BEjIDsb\nPvrIg4EJERwkZzs0WBsIb2yWhZldjR/frR1lcurAZsLHj4fERCgudndwQnifUYvw8cDvXL2g63oN\nsBx1DPJXvRlUMCszG78dBWBq2lT2Xdg3oPcsWSK3N4UYIsnZHVhaLIRZmmUmvKusrG5FeFZiFuZm\nMxcbLvb7MtJGKAKFIbeQ0nX9RB+v24C/eyca0Wprpby+3PAz4QD5afnsLd87oPcUFcHDD6svIcTA\nSc5uZ7fbsbRYCG1olCK8Kxc94aEhoUxMmcjBioOkxvRvM52iInj6abj/fk8EKYT3GKII1zRtrOOP\nZ3Vdb+3wuE+6rp/yUFjC4Xz9eeIi44iNMP4/KFPTpvKnHX8a0HsWLlTbFNbWQkKChwITIoBIzu5Z\ni62FNnsboRaLFOFdZWXBqVNqn8Hw8EtPO/vCF2Yu7NdlFi+G1avVWp6oKE8FK4TnGaIIB06gFuxM\nBm625j0AACAASURBVA47HveHHQj1TEjC6azZ+IsynQYzEx4fD7NmqcU+11/vmbiECDAnkJztUoO1\ngfCQcEwNUoR3Ex+vGrpPn1az4g4D2SscIC0NcnJg61bVmiKEvzJKEf5TVHKu7PC4P4Jipb2v+cOi\nTKfspGxqmmq42HCx37c2Qd3efPddKcKF6CfJ2T2wtFgYFj4M6uulCHfF2ZLSoQjPS80b8B3Mq6+G\nd96RIlz4N0MU4bqu/1dvj4Vv+cuiTICwkDDyUvPYd2EfV2Vd1e/3LV0KX/6yBwMTIoBIzu6ZpcVC\nTEQM1F+U3VFccS7O7FA956XmDWgmHFTOvvde+PWv3R2gEN5jyN1RNE17RtO07/g6DqH4UzsKDG6H\nlMsvh6oqOHLEQ0EJEcAkZ7draGkgwRSt+p6lCO/OxeLMnKQcyhvKqW2q7fdlFiyA0lI4f97dAQrh\nPYYswoGbgRG+DkIoZWb/aUcBR1/4hYH1hYeFqZaUt9/2UFBCBDbJ2Q6WFgvJtkiIiFBfojMX2xRG\nhEaQk5RDSUVJvy8TFaUW1b/zjrsDFMJ7jFqEHwQyfR2EUMrqygJ+JhzU7c233vJAQEIEPsnZDpYW\nC8ltkdIP3hMXB/aAWpy5/+L+AV1Kcrbwd0Ytwn8N/IemaVf6OhDhaEfxk55wgPz0fPZd2IfdPrA1\nYJ/5DPzrX9Dc7KHAhAhckrMdLC0WkmxShPfIRTsKqMmT/RcGVoRfc41aUG+zuSs4IbzLEAszXYgG\nPgA+1DTtZaAYuICLlfW6rv+fl2MLOv7WjjIqbhQhphBO1Z4iM7H/k3OjR6s7pVu3qn1ohRD9Jjnb\nocHaQGJruPSD92TMGKiuhro6tWWhQ35aPv9b/L8DutTEiTBsmDrCfvZsdwcqhOcZtQh/psOfb3Z8\nuWIHAjqh+1q9tZ56az0jYv2n3dNkMpGfrvrCB1KEg5pZeestKcKFGCDJ2Q6WFguJraEyE96T8HBV\niB8/DpdddunpwbQRmkztLSlShAt/ZNQifHU/xwX8nrO+VlZXRnpMOmEhRv1fxTXnoT0rJqwY0PuW\nLoV77oHf/MZDgQkRmCRnO1haLCS2hEkR3pusrG5FeE5SDpWNlVRaKkkeltzvSy1dCo88Ag8+6IlA\nhfAsQ1ZWuq4/6+sYhOJPe4R3NC19Gu+feH/A71uwQP3bcOoUjO33QdxCBDfJ2e0aWhpIbw2BGDlP\nvUcuFmeGh4YzOWUy+y7so3BcYb8vVVQEK1dCRQWkpLg7UCE8y6gLM4VB+NvOKE7TR0xnd/nuAb8v\nMlIt0Hz9dQ8EJYQIeJYWC3EtJpkJ700PO6QMpiUlLk5NnsguKcIfGXImvCNN08KAZCDS1eu6rp/y\nbkTBpczsn0V4flo+R6qOtB8hPQArVsA//gF33OGh4IQIYMGesy0tFmKtJlmY2ZvsbNi8udvTU9Om\nDviMB1A5+/XX4UtfckdwQniPYYtwTdMKgJ8BBag4TY6XnD2FJsefQ93wWYuAnwCzgVbgI+ABXdd3\nDeJaccA+YAzwoq7rtww1Pl8qq/PPdpSYiBiyErPYd2EfV4y6YkDvXbYM7rwTGhrk31Eh+ktytmJp\nsRDTgsyE9yY31+XxxPlp+bx+eOC3IZcvhx//WB1SGh7ujgCF8A5DtqNomjYXeA/IAZ5CJe8PgD8B\nex2P3wR+6obPWg5sAvJRK/z/ClwJbNU0bTDrrX8NJDn+7PeLkPx1JhwcLSnnB96Skp4O06bBxo0e\nCEqIACQ5u11DSwPDrDb5Db432dlw4oSqmjtwtqMM9IyH7GzIyFDbywrhTwxZhAM/AhqAWbquf8fx\n3L90Xf8WMAP4HlAE/L+hfIimaRGofzAswFxd17+t6/oaYB4qGT81wOstBL4BBMw6bX9dmAlwWfpl\n7Do/4IkxoP32phCiXyRnO1haLEQ32WQmvDcJCZCUBCdPdnp6bMJY2uxtnKk7M+BLSs4W/sioRfgc\nYIOu6xc7PBcCoOu6Xdf1x4CPgYeH+DlXA6OAv+i6Xup8Utf1Q8BzwExN06b350KapkUDTwOvABuG\nGJdhlNWVMTp+tK/DGJTLRlw2qMWZANddB2+8ISexCdFPkrMdLC0WoprbpAjvS05Ot5YUk8k0qMWZ\nIEW48E9GLcKjgfMdHjcBCV3GbEfdghyKBY7vm1y85nxufj+v9VMgFbiL9l5Iv9Zqa+Vc/Tm/bkfZ\nU74Hm33glfS0aRAaCjt2eCAwIQKP5GwHS4uFqKZWaUfpi4siHFRf+GCK8Hnz4MIFOHzYHcEJ4R1G\nLcLPAiM7PD6BuqXZUQbQwtDkOL4fdfHa0S5jeqRp2uXA3cAPdF0/39d4f1FeX05MeAxxkXG+DmVQ\nRsWNIjw0nOPVxwf8XpMJbrgBNgTMPQ0hPEpytkODtYHIRqvMhPclNxdKS7s9PdgdUsLC1Gz4K6+4\nIzghvMOou6NsQ616d3oVuFfTtB84/jwfuBF4e4ifE+/4XufiNedzXWdzOtE0LRxYC3yk6/qfhhiP\nofhzPzj/n737jo+qShs4/puZJCQhJKETSmgBQo806ah0laa7gmBBxYNgwbK4ii6WtaxdX13EI6JY\n110LCthQQaooSJUmvYMECCUQSCbvH2cGQkifcqc834/zGXLnzrkPJjw5c+5zzsHc2mxd3ZSkNKzU\nsNTvHzLErJLy5JM+CE6I0CI52yXzTCaRp6JkJLw4KSnw888XHG5ZrSVTl08tU5NDhsAzz8Df/+5p\ncEL4R6COhL8PHFdK1XV9/S/gd+ApzFJSk4H9mMk+VpsANAKU1YF4W7Bu1JNXWo20Mk/O7N7d3N5c\nt87LQQkReiRnu2SeySTyZJaMhBenkHKU1jVas+7gOk7nnC51k337wpo1sHu3NwIUwvcCciRca/0V\nZjkr99dHXLcPBwENgB3ADK31MQ8v5R45iS/gNfexjMLerJRqgknoT2mt13sYCwDTpk3Dbj//s1Fa\nWhppaSWaa+RVwT4SDmaFlM/Wf1am90ZEwKBB5vZm06ZeDkwEvRUrVrBixfkf8JxhOpNXcva5nN1k\nZxPWxB6mvYyEFy0lBbZuhexsk2xdKsVUokZcDdb+uZa0GqX7vRcba3Y8nj7d3MUUIq9AzNkB2Qkv\niNY6C/ivl5t1fwxPAfIPlzbMd05BmgKRwCNKqUcKeH2YUmoY8IXWekhJArrxxhtxODzey8IrQmUk\nfOLciWV+/5Ah8NhjMGGCF4MSIaGgD8c5OTksWbLEoogCS7jm7DufvpM2O+JlJLw4FSuaPed37oT6\n9c976aIaF7Fi34pSd8LB5Oxp06QTLi4UiDk7aDrhPjIPuB/oCXyS77Veruf5Rbx/K6a2MP/OAhWA\noZiJQnOA5R5HaoHdx3ZzcS1PFzOwVrOqzdh/fD8HMw9SJbZKqd/fuzcMHw47dkBysg8CFEKURkDn\n7NzcXDLPZGLPjJCa8JJwl6Tk64R7UkZ45ZUwejQcOmSWIhcikAVEJ1wp9TZl3KlMa32zB5f+HtgF\nXK+UeklrvdEVTyowAvhNa73SdSwCM/pyQmu903XtlcCt+Rt11UUOBX7VWgdtrXgolKNEOiJpVb0V\ny/Yso29K31K/PzrabGP/+ecwblzx5wsRDiRnF+x0zmmzJOrxEzISXhLuFVJ69z7vcFqNNF7++eUy\nNVmxInTtCjNmwI03eiNIIXwnIDrhgCf/VMqc0LXWp5VSY4AvgMVKqQ8x68UOd51yW57TawNrMVsx\nX1pM0yGxTngolKMAtE1qy7K9ZeuEA1x1Fbz6qnTChchDcnYBTpw5QfncSGxnzshIeEkUMjnTXY6S\nm5uLzVb6b81f/gL/+590wkXgC4hOuNbaslVatNazlFK9gEeAkUAOsBB4SGtd0P2wMo3+BKNQGAkH\naFezHV9t+qr4Ewtx5ZUwapQpXaxTx4uBCRGkJGcXLPNMJlVyY0zVeVSUvy4bvFJS4L8XThtITkjG\nZrOx7cg26lesX8Abi3bVVXDPPVKSIgJfQHTCraa1ngvMLeacbZRwScfSnBuojmYd5eSZk1QvX93q\nUDzWtmZbHp/3eJnfX748XHGF+V1xXyAssCZEmAvUnJ15JpOqzhiIC4zJ9QGvkJFwm812ti68LJ3w\nKlWgWzdTRnjLLd4IVAjfCPhOuFIqFmiGmThzFFirtT5pbVShb/fR3SRVSMJhD/5fJs2rNvdocibA\nsGFm0x7phAtRtHDO2SdOn6BybjSUj7Q6lOCQkgKbN0NODuRbFSytuumED2laokVqLjBsGHz4oXTC\nRWAL2NFapVQtpdR/gCPAL8APwK/AEaXUR0qpmpYGGOJ2Hd0VEvXgcP7kzLLq18/MH9pc0GbZQgjJ\n2ZiR8Eo5UTIps6SqVDHLFG7ffsFLFyVdxPJ9ZV9YbPBgWLDAbLgmRKAKyE64K1kvAa4BtgPTgGdd\nz9sxs9iXhENSt0qo1IO7tavZjmV7y94Jj442Sf3jj70YlBAhQnK2kXkmk8ScSJmUWRqpqbD+wn2T\nPFmmECAxEXr1gk8/9SQ4IXwrUMtRHgeSgLHAG1rrsxNrlFJ2YBTwuuu8UZZEGOJ2ZuykTnzozEJs\nm9SWWX/M8qiNoUPh73+XjXuEKIDkbEwnvKKMhJeOuxN++eXnHW5apSn7T+wnPTOdyrGVy9T0sGHw\nxhswZow3AhXC+wJyJBzoj9mxbHLeZA6gtXZqrTVmiar+lkQXBnYe3UlyQujsTtO2ZluPRsLBjKrs\n3QurVnkpKCFCh+RszBKFidkO6YSXRiEj4ZGOSFpWa+lR3h44EH77rcBqFyECQqB2wisD64o5Zz1Q\ntll2olg7MnaE1Eh43smZZRUZCddeC+++68XAhAgNkrMxI+HxZxxSjlIahXTCATrU6sCvu38tc9Nx\ncWYb+w8+KHMTQvhUoHbC9wLF7ZfeAdjjh1jC0o6MHSE1Eh7piKR1jdYs3bPUo3ZuvNEk9OxsLwUm\nRGiQnI3phFc4Y5OR8NJITYV1BX9+a1+zPb/uKXsnHOCGG2DaNMgNmx0+RDAJ1E74p8BlSqlnlVIV\n8r6glIpXSj0DXOY6T3hZbm5uyHXCAS6udTE/7/rZozbatDGbP3z/vZeCEiI0SM7G3Qm3y0h4adSv\nD0ePwsEL71K2r9WeX3b/4lHzl14KJ07AL541I4RPBOrEzH8CfYC/AaOVUquB/UB1oBUQB6x2nSe8\n7MipI5zOOU31uODfqCevTrU7MW3lNI/asNnMaPi0aWbZQiEEIDkbMOuElz+NjISXhsMBjRvDhg1m\nycI8mlZpytGso+w+WvbVuhwOuO46U0Z4cXH3aoTws4AcCddaZwCdgKeAw0BnYIjrOR14AujkOk94\n2Y6MHdSOr43dFpA/HmXWsXZHluxegjPX6VE7I0bAjBmQIT99QgCSs90yz2QSezpXRsJLq5C6cIfd\nQduabb1SkvKf/0BWlkfNCOF1gToSjtb6BPAw8LDr9mY8cFRrfczayEJfKJaiANRLrEeUI4qN6RtJ\nrZJa5nZq1YIuXcw29rfe6sUAhQhikrNNJ7x8llNGwkuriMmZ7Wu259fdvzI4dXCZm2/WDBo0gJkz\n4eqry9yMEF4X0EOdSqkBSqkPgEXuh1LqQ6XUlRaHFtJCtRNus9noWLujx3XhAKNGwZQpXghKiBAS\n7jk7pVKKrBNeFsV0wn/Z43lB96hR8OabHjcjhFcFZCdcKVVOKTUds67stUAqEAU0AYYBXyqlpiul\noiwMM2SF2hrheXWq3YnFOxd73M6gQbB1K6wo+4ZuQoQMydnGfZ3vo7YjUcpRSquYZQqX7llKrofL\nm1x7LSxaBNu2edSMEF4VkJ1wzK5qA4FvMMteldNaJwHRQEfX8YGu84SXhdoa4Xl1rN2Rn3d7PhIe\nFQUjR8rIihAukrPdjh+XkfDSatLEjGoUULRdL7EeDpuDTYc2eXSJ+Hi45hp46y2PmhHCqwK1E34d\nsBy4Qmv9q9baCWd3XvsFuNL1+vUWxhiyQrUcBaBdzXasP7ieY1mel6mOGmXWDD9xwguBCRHcJGe7\nnTghI+GlFRcHSUmw6cKOts1m88pShQBKwdSpss+DCByB2glPBL7Nv/2xmyvBfwdU9GtUYSKUO+Fx\nUXE0q9rM4017wKyq1aaNmaApRJiTnO0mI+FlU8SmPR1qdmDJ7iUeX6J9e7MK4ldfedyUEF4RqJ3w\nNUBxvcBkYJUfYgkr2c5sdh/bTZ2E0CxHAehYyzuTM8GMrEye7JWmhAhmkrPdZCS8bJo3h99/L/Cl\nznU6s2jnIo8vYbNJzhaBJVA74Q8DVyulhhb0olJqGHCV6zzhRXuP7aVCVAXiy8VbHYrPdKrTiYU7\nF3qlrauugh07ZDc2EfYkZ7vJSHjZtGwJqwr+jNapTidWH1jN8dPHPb7M9debCZp//OFxU0J4LFDX\nCe8MzAM+Uko9DCwG/gSqul5rCnwPdFZKdc77Rq116E/88aFQLkVx65bcjbu+voscZw4Ou8OjtqKi\n4Lbb4NVX4b33vBSgEMFHcrbbiRPSCS+LVq3gmWcKfCm+XDxNqzRlya4l9GzQ06PLxMebXY///W94\n+WWPmhLCY4HaCX8kz5+bux759XY98guthO5n4dAJr5dYj/hy8aw+sJq0Gmketzd6NDRqBPv2QY0a\nXghQiOAjORvgzBmzwoeUo5Re8+ZmhZRCynm6Jndl4c6FHnfCAW6/HTp0gH/+EypU8Lg5IcosUDvh\nl1kdQLgKh064zWaje93uzNs+zyud8Bo1YPBgeOMNeOSR4s8XIgRJzgbTgYyIMLfIROnExkL9+rB2\nrZlBmU+XOl14e8XbXrlU48bQuTNMmwZ33OGVJoUok4DshGut51odQ7jaeXRnyK4Rnlf3ut35dvO3\n3HXxXV5p7667YMAAePBB+f0rwo/kbBf3KK7NZnUkwcldF15AJ7xrclfUTEW2M5sIu+ddl7vugnHj\nYOxYsAfq7DgR8uRHT5wnHEbCAXrU7cG87fM83oXNrX17aNgQPvzQK80JIYKRTMr0TKtWsHp1gS/V\nSahDxeiKrN5f8Oul1aeP6XzPmuWV5oQoE+mEi/NsO7ItLDrhjSs3xmFzsO5gwevSlsX998Ozz4LT\n6bUmhRDBRJYn9EzLloV2wuFcXbg32O0wfnyhc0GF8AvphIuzcnNz2XJ4Cw0rNbQ6FJ/LWxfuLQMG\nmOeZM73WpBAimMhIuGfc5SiF3KHsUqcLC3Ys8NrlRowwc0EXeqdfL0SpSSdcnLX/xH6cuU6S4pKs\nDsUvutftzk/bf/JaezKyIkSYk5FwzzRoAJmZsH9/gS93Te7Kgh0LvFZGWK4c3H23uYMphBWkEy7O\n2nxoMw0rNcQWJpOKvF0XDmZkZft2WOC9wRohRLCQkXDPOBxmqcJCNu1pUa0FmWcy2XRok9cuOXo0\nzJtnFmURwt+kEy7O2nRoEw0rhn4pilvzas3Jys5iQ/oGr7UZFQX33gtPPum1JoUQwUI64Z4rYnKm\nw+7gsvqX8cPWH7x2ufh4GDMGnn7aa00KUWLSCRdnbT68mZRKKVaH4Td2m51eDXoxe/Nsr7Y7ejT8\n9hv8/LNXmxVCBDopR/FcMZMze9bv6dVOOJiBky+/hA3eG48RokSkEy7O2nx4c1iNhAP0adiH77Z8\n59U2y5c3K6U8+qhXmxVCBDoZCfdc69awfHmhL/ds0JMft/6IM9d7y1BVqWLWC3/iCa81KUSJSCdc\nnLXp0KawWBklr94NejNn6xxO55z2artjxsCKFbB4sVebFUIEMhkJ91ybNrBuHZw8WeDLjSo1IjYy\nlhX7Vnj1svfdBzNmyGi48C/phIuzNh8Kr3IUMBtAJCcks3ind3vLsbEyGi5E2JGRcM/Fx5tVUlYU\n3Mm22WymJGWLd0tS3KPhjz/u1WaFKJJ0wgUAR04dISMrIyw26smvT8M+zN7i3bpwgNtuM6WNc+Z4\nvWkhRCCSkXDvaN8eli4t9GVf1IWDGQ3/+mtYudLrTQtRIOmEC8CMgtdNqEuEPcLqUPyuT8M+fLfZ\nu3XhYEbDH3vMjIjLLppChIFhw6BXL6ujCH7t2sGvvxb6cs8GPZm/Y77XywgrVzZ7PTzwgFebFaJQ\n0gkXQPitjJJXj7o9WH1gNemZ6V5v+6abzODY//7n9aaFEIHmssvM6h7CM8WMhNesUJO6CXW9XkYI\nMG6cuYP5g/cH2oW4gHTCBeDaqCfMVkZxKx9Vnk61O/H9lu+93nZEBPzrXzBhApz27qCNEEKEprQ0\n2LQJjh0r9JS+Dfvy9aavvX5puYMp/Ek64QIIz5VR8uqf0p+Zf8z0SdsDBkCtWvDaaz5pXgghQkts\nLDRtajZcKMSVja9k5kbf5Owbb4SsLPjgA580L8RZ4VcAXAil1CXAI0A7IBtYDEzQWhe7DpJS6iLg\nr0BvoAEQC2wFPgH+pbXO9FHYXrP58GYGpQ6yOgzLDEodxNMLnuZMzhkiHZFebdtmg5dfNqWiI0ZA\n9epebV6IsBTuOTvkuevCe/Qo8OVudbux8+hOth7eSv2K9b166YgIeOkl0xkfPBgqVPBq80KcJSPh\ngFLqCuAHoCXwNvA+cDGwUCnVrgRNvA7cD2QC7wCTACfwsKuNgJ8uH44b9eTVuHJjqsdVZ8GOBT5p\nv00buOYaePBBnzQvRFiRnB0GiqkLj3JE0bdhX2b9Mcsnl+/dGzp2lA18hG+FfSdcKRUFTMYk405a\n67u01ncCnYFc12vFeRdooLXuobW+T2t9H9Aa+Mz1fIdvoveOk2dOsufYHhpUbGB1KJYa1GQQX2z4\nwmftP/GE2Rp5yRKfXUKIkCc5O0y0b1/kCilgSlJmbJzhsxBefBEmT4aNG312CRHmwr4TjrkdWQt4\nT2v9h/ug1noD8AHQRimVVlQDWutJWusd+Y7lAM+5vuzi3ZC9a8vhLdSIq0FMZIzVoVjK3QnPzc31\nSftVqpgJP7ffDjk5PrmEEOEg7HN2WGjZEnbvhvTCV63qn9Kf+dvncyyr8AmcnqhXD+6+G+68E3z0\na0GEOemEQzfXc0ELErmPdS1j29n5ngPS2j/X0rxqc6vDsNzFtS/m5JmTrD6w2mfXuO02cDjg//7P\nZ5cQItSFfc4OC1FRpo5vceHLEFYtX5WLki7yycpWbg8+CFu3yiRN4RvSCQf34tibC3htc75zSusG\n1/OPZXy/X6w+sJoW1VpYHYbl7DY7AxoP4Iv1vitJcTjgzTfNiPjWrT67jBChLOxzdtjo3h3mzSvy\nlCsb+bYkJToatIZ774WDB312GRGmpBMO8a7nowW85j6WUNpGlVI9gLHAH8CbZQvNP1YfWE3LarLB\nBJhVUqZvmO7Ta7RqBWPHwpgxcotTiDII+5wdNrp1K7YTPjh1MF9s+IIzOWd8FsYll8DAgaYjLoQ3\nSSfcB5RSqZilrk4A12itsywOqUhrDqyhZXXphAP0btCbLYe3sDHdtzNx/vEP2LIF3nnHp5cRQpRA\nsOXssNGlC6xYYbYdLkTTqk2pVaEWP2z17RaXzz0Hs2fDTN8sTS7ClKwTfm7kJL6A19zHMkramFKq\nAaYuMRror7VeWZpgpk2bht1+/mejtLQ00tKKnGdUZidOn2DbkW00q9rMJ+0Hm3IR5bi66dV8tPoj\nHrnkEZ9dJyYG3n0XLr8cLr3UTAASwWXFihWsWHH+ktRO2WLPH8I6Z4eVxESzac/PP0PPnoWeNrT5\nUD7+/WP6pfTzWSgVK8KUKTBqlNnWvkoVn11K+Egg5mzphMMm13MKkH+Th4b5zimSUqouMAeoCAzQ\nWpd60ekbb7wRh8NR2reV2bqD66iXWI/YyFi/XTPQDW85nLGzxjKxx0RsNpvPrtOxoylLGTkSfvwR\n7HJfKqgU1NHKyclhiaxB6WthnbPDjrsuvKhOeIuhtH+zPZOvmEy5iHI+C+WKK8wOyLfdBv/7n9mI\nTQSPQMzZ8msf3AVnBf0L7+V6nl9cI0qpmpjRlBqY25m+vTfmJav3y6TM/HrU7cHRrKMs37fc59ea\nOBGOHjXr0QohSiSsc3bYKcHkzJRKKTSo2IDvNn/n83BefBGWL4f33vP5pUQYkE44fA/sAq5XSjV2\nH3TVCI4AfnPfnlRKRSilUpVSdfI2oJSq6monGRihtQ6aqrE1B9bIpMx8HHYHQ5sP5cPVH/r8WlFR\nZumrJ5+UTXyEKKGwztlhp1s3kxyzii7Td5ek+FpcnMnZ48bB+vU+v5wIcWFfjqK1Pq2UGgN8ASxW\nSn0I2IDhrlNuy3N6bWAt8BNwaZ7jnwCpwDKghVIq/9DyVq31NF/E76nVB1Zza5tbrQ4j4AxvOZzB\nHw/mmV7P4LD79lZz06bwyiswdKgZYalY0aeXEyKohXvODjvVqkHdurBsGXTuXOhp1zS/hifmPcHJ\nMyd9vvFcx47w0EMmZ//8s5njI0RZyEg4oLWehbmNuQoYCVwHLAa6aK2XFvCW/AvLJbuOtQEmFvC4\n0SeBe8GaA2ukHKUA7Wq2IzYylrnb5vrlejfcYCZo3nyzLFsoRHHCOWeHpe7d4aefijylXmI9Wtdo\nzWfrPvNLSPfeC3XqmB01hSirsB8Jd9NazwXmFnPONgr44KK1ru+ToHwsPTOd9JPpNKrcyOpQAo7N\nZuOWi27hzd/epGeDwicEedNrr0GnTvD00zBhgl8uKUTQCsecHbZ69oTXXzfbVxZh1EWjmLJ8CiNa\njfB5SHY7TJsGbdueWzVFiNKSkfAwtubAGppWaUqEXT6LFeSmtJuYuXEmB04c8Mv1ypeH6dPhpZdg\n1iy/XFIIIQJf796m7iOj6JUn/9LsLyzfu5w/0v/wS1iVK5ucPX48LF7sl0uKECOd8DC2+sBq2aSn\nCNXjqtO/UX+mrfBfaWiDBvDRR6Y8RSb9CCEEZqJMu3bw/fdFnlY+qjzXtriWqcun+ikwSEszg/RX\nXw27d/vtsiJESCc8jK3Yt4JW1VpZHUZAG912NPo3jTPXfwv69+oFjz5qNvLZv99vlxVCiMB1Bql6\n1gAAIABJREFU+eXw9dfFnjaqzSjeWfmOT7exz2/YMLjpJrOO+LFjfrusCAHSCQ9jC3cupFOdTlaH\nEdAuq38Zzlyn3yZout15JwwcaB6ZmX69tBBCBJ7LL4evvip25nqbpDbUiKvBrD/8W9P3z39Cs2Zw\nzTVwxn/9fxHkpBMeptIz09l6eCvtarazOpSAZrfZGd12NP/+9d9+v/YLL0CtWmaURZK6ECKstWpl\ntqhcubLI02w2G6PbjubVX171U2CG3Q5vvw0nTpgdNWWVK1ES0gkPU4t2LqJNUhuiI6KtDiXg3drm\nVr7f8j2bDpVoJ2yvcTjMphAZGWbpQqf/KmKEECKw2GzQv3+JSlJuaH0DK/etZMW+FX4I7Jxy5eCL\nL2DpUrjvPumIi+JJJzxMLdy5kC51ulgdRlCoGFORm9Ju4oVFL/j92jExMGOGmaR5xx2S1IUQYax/\nf1OSUozYyFjGtBvDC4v9n7MrVoTvvoOZM02JihBFkbXpwtTCnQu5r9N9VocRNO7peA8tXm/BY5c+\nRrXy1fx67fh4+OYbuOQSs1XyK6+YQSFRuK1bt/LVV19RvXp1MjIyqFu3Lr169fL5e4UQPtS7t1k6\nat8+qFGjyFNv73A7jV5txK6ju6gdX9tPARrVq5uFXLp1M3c0H3rIr5cPSmXNu4cOHWLKlCkMHDiQ\nunXrcvz4cZYtW8bJkycZMmSIHyL3jHTCw1BWdhZL9yylc53CtwAW56ubWJeBTQby2i+v8filj/v9\n+pUrw48/mj0rbr/dbOxjl/tYBTp69Cj/93//x913303dunVxOp089dRT2O12LrvsMp+9VwjhY/Hx\n0Lcv/O9/ZvZ6EWrE1eCaZtfw6pJXeab3M34K8JzkZLPJ56WXQnY2PPKI30MIGp7kXafTyZYtW3j5\n5ZfPHktOTmbcuHG+Dtsr5Nd4GPpt72/Uia/j9xHdYDe+83gm/TqJY1nWrEFVtarpiC9eDLfeahK7\nuNA333xDtWrVqFu3LgB2u51u3boxc+ZMcnJyfPZeIYQfXHut2UyhBO7rfB/6N82hk4d8HFTB6tUz\nHfF334UHHpBywsJ4mncbNmxIhw4daNeuHddddx1///vfKV++vK/D9grphIehhTsX0iVZ6sFLK61G\nGl2Su/DSzy9ZFkOVKqYjvmED/OUvcPKkZaEErBUrVtCgQYPzjtWvX5/MzEw2btzos/cKIfzgiitg\nzRrYtq3YU5tVbUa/lH48v+h538dViORkmD/f7II8apQMnhTEk7xrs9lITU3l5ptvZtSoUXTt2hWH\nw+HLcL1KOuFhSCZllt2Tlz3JSz+/xMHMg5bF4J74k5Nj7symp1sWSsA5efIkhw4domLFiucdT0xM\nBGDXrl0+ea8Qwk9iY80GCh9/XKLTH+3xKP/+9d8cOHHAx4EVrmZNmDfPDJ5cfbVZxlAY4Z53pRMe\nZpy5ThbukE54WbWo1oIBjQfwrwX/sjSO2Fj47DNo2hQ6dQIZpDUOHTK3ncuVK3fe8ZiYGACOFbGd\nnSfvFUL4USlKUppUacLVTa/m6flP+zioorkHT6KioHt32eLezRt598iRI3zyySd88sknvPXWW/zw\nww/eD9RHZGJmmFm6ZykxkTGkVkm1OpSg9dglj5H2Rhp3d7zb77Pu84qMhMmT4aWXoHNn8zupd2/L\nwimW0+lkzpw57Nu3j4oVKxIfH09UVBTHjx8/b/LNpEmTzibmkujfvz9t27YF4NSpUwAX3I50f32y\niPodT94rhPAj9yop69aZkYhiTOwxkVavt+LeTvdSJ6GOHwIsWGysGcB/+GG4+GIzkNKhg2XhFCvQ\nczaYcpRDhw5xxx134HA4zk7qBOjZs2eJY7KKdMLDzOfrPmdwk8HYZI27MqtfsT4jW4/k79//nQ+u\n+sDSWGw2uPdeaNLEDA7dd5+ZABRo397c3FzeeustTp8+ze233w7A4sWLeeedd7jnnnvOO3fs2LFl\nvo7dtWRM/p9v9+Seoib5ePJeIYQfRUWZrYTfegueL77eu15iPW656Bbu//5+Prq6ZCPovmK3w1NP\nmc8OffvCs8+aifaBJhhyNkClSpW46667zr7fbrfTvn17ZsyYQffu3YmMjCxzbP4g5ShhZvqG6QxO\nHWx1GEHvsUsf44ctPzBn6xyrQwHMXKUlS+A//4HBgwOvTnzu3LmsXLmSG2+88ewxh8OB3W6/YEKO\nJwqbEZ+VlQVceMvTW+8VQvjZ2LEwdSpkZpbo9EcveZS52+YGTM6+/nqYMweefhpuuinw6sSDIWe7\n5e/AV6hQgVOnTrF582bPA/Qx6YSHkfUH13PgxAG61e1mdShBLzE6kef7PM/Yr8ZyOue01eEA0LCh\nWb6wWjVISzMz8gOB0+nk22+/pVmzZsTFxZ09vn79eho0aODVmezx8fHAhbcwT58236P8k3+89V4h\nhJ81b24S3Ycfluj0hOgEnu31LLd/dTtncs74OLiSSUuDZcvg6FFo2xZWrLA6IiNYcvaZM2d4+OGH\n+fzzz8877nQ6ATh+/LjX4vQVKUcJI9PXT2dA4wFE2OXb7g0jWo5gym9TeGHRCzzY7UGrwwFMzeGb\nb5q6w8GDQSl49FGwchB3//79HDlyhL59+553fN26dXTpcuEE4TfeeIP0Ugzl9+vXjzZt2gAQHR1N\nzZo1OXz48HnnHDxoVrOpXbvwGn5P3itEcbKzs5k4cSKtW7dm6NChAEyYMAHgbA1rUTIyMpgwYQJX\nX321bBzldscdZm/4W24pUQ3eda2uQ/+mefnnlxnfZbwfAixexYrwySfwxhtmV+QHH4S//c3stGmV\nYMnZWVlZHDx48GxduZu78x0MAyfSGwsj09dP54GuD1gdRsiw2WxMumISnd/qzMAmA2lerbnVIZ01\ndKhZNeWWW6B9e3jnHXDlPL87c8aMOuVNpvv37+fw4cM0btz4gvNHjx7t0fWaNWvGli1bzju2adMm\nYmJiaNKkic/eK0RR5s2bx5EjR+idb/Z0SefnJCQk0LlzZ77++mu6du1KVFSUL8IMLgMHwrhxsGgR\nFNA5zM9ms/H6Fa/TdWpXrmx8JU2rFj+p0x9sNrjtNtMJv/FG+OILePttM9fHCsGSs+Pi4khNTWXY\nsGHnHd+2bRuVKlWiYcOGHsXlD1KOEiZ2H93NmgNr6NOwj9WhhJRmVZvxSI9HGPHZCLKys6wO5zzJ\nyfDttya59+xpRlesqDtMSkoiPj7+7GhFVlYW06ZNIyIiwqu1hW49evRgx44dbHNt5pGdnc3ixYsZ\nMGDA2duoO3fuZPz48SxevLjU7xWitNy399PS0qhUqVKZ2+nZsyfHjh1jwYIFXowuiEVEmAT3yisl\nfkuLai14uPvDXP/59QFTluKWmgoLF8KVV5rVU554Ak5bUO0YTDm7Y8eO55WjHDx4kA0bNnD99dd7\nPU5fkJHwMPHx7x/TN6UvsZGxVocScsZ1HMesP2bxjzn/4Nnez1odznnsdjN/aeBAc+e2WTN48UW4\n6ir/raASGRmJUorZs2ezY8cOACIiIqhfvz4REd5PQVWrVuWuu+5ixowZ1KxZkwMHDtCxY8fzbuHn\n5uaSk5NDdr7t60ryXiFKa/Xq1WRkZNCuXTuP2qlRowa1atVi0aJF8jPpNmaMmRCzZg20aFGit9zT\n8R5mbJzBP+f9k8cvfdzHAZZORARMmGB2RB492pS8v/qqGUjxl2DK2R07dmTBggW88cYbREVFkZWV\nxR133BEUo+AgnfCwkOPM4dVfXuWtgW9ZHUpIstvsvDP4HdImp9Gzfk/6pvQt/k1+Vrs2TJ8OM2bA\n3XfD66+b9cVbtvTP9VNSUkhJSTn79bx58+jatavPrte4ceMCb5u6JScn8+KLL5bpvUKU1pIlS4iI\niKBlIf/gjh8/zscff8zvv/9OdnY2KSkp/PWvfyUpKemCc9PS0pg1axa7d++mVq1avg498FWqZEpS\nHnkEPv20RG9x2B1MGzyNtrotl9S7hMvqB94HmsaN4ccfTSf8+utNeeGzz5rPG/4QTDm7a9euPo3N\nl6QcJQx8ueFLKkRV4NJ6l1odSsiqHV+b9696nxGfjWDToU1Wh1OoAQPg99/NqEr37nDzzeDvXYEP\nHTpERkaGdHRF2Ni4cSO1atUqcM3i7OxsXn75Zfbt20e3bt1o3bo169at47nnnuPPP/+84Pz69esD\nsGHDBp/HHTTuuQfmzoXly0v8lnqJ9Xh70NsM+2QY245s81lonrDZYMQIs91948ZmXs/dd4NrzqLf\nSM72HemEh4FXlrzC3R3vlg16fKxfSj/u73I/g/4ziGNZgbvFeXS0mYG/cSOUL29KVO6+G/bt88/1\nN2/ejMPh8EltoRCB5sCBAxw/fpzk5OQCX8/IyCAxMZGHHnqIIUOGcMstt3DzzTeTmZnJpwWM7Nar\nVw8gKNZA9puEBDPpZeLEUr1tYJOB3NHhDoZ8PITMMyVbb9wKFSqY9cRXr4bDh6FRI/NXPXLEP9eX\nnO070gkPccv3Lmftn2sZ3nK41aGEhfGdx9O6emuGfjI0YNYPL0zVqqbWcNUqOH7cjLSMGwc7d/rm\neqdOneKtt97i448/Jjc3l7fffpv9+/f75mJCBAj30m0JCQmFnnPllVee93X79u2pUaMGq1atOrtp\niVtcXBx2u71US8KFhTvvhF9/NTUcpfBw94epn1if4Z8OJ9uZXfwbLJScDNOmmcmb69dDgwbwj3/4\nbmRccrbvSSc8xL3484vc1u42oiOirQ4lLNhsNqYOmsrpnNPc8PkN5DgDf6vzevVgyhSzUcTp02YP\njJtuMp1zb4qOjuaWW27h+eefZ9KkSSilqF69uncvIkSAOeFakig2tuBJ8Q6H4+zodl4NGjTA6XSy\nr4BbVOXLlw+KjUj8Ki7OzDofPRrybfxSFLvNzvtXvU/6yXRunXErzlynD4P0jmbN4L//hXnzYOtW\nUyd+553g7ZsjkrN9TzrhIWzJriV8/cfX3NnhTqtDCSvREdFMHzadbUe2MWbWmKBI6mBGVV5/3dQf\n1qwJl14KvXubCZ3ZgT1AJETQyrsjYV4VKlQAuGAjEjArRUh5YQGuvdb0SJ98slRvi42MZca1M1i+\ndzn3fnsvubm5PgrQu1q0gPffN6XwdrupGR8yBL7/HoLkrxD2pBMeonKcOYyZNYYnLnuCquWrWh1O\n2ImLiuOrEV+xdM9SRk4fGXDr0RYlKcn8DtuxwyyTNXGi6aA//rjvSlWECFXly5cHzo2I51fYiPax\nY2ZeSXT0hXcxMzMzz7Yr8rDZzEjCa6+ZJQtLITE6kW+v+5bvt3zPmFljguIupluDBmap9O3boVs3\ns3R6aio8/zwcOGB1dKIo0gkPUa8vfR2H3cGtbW61OpSwVSmmEnNunMP2jO1c9d+rAnriT0HKlzd3\ndleuNMtkbdliboP26wcffGDNxj9CBJsqVaoAZgJmQXJycs5uUpLXli1bcDgcFyxTeOzYMZxO59l2\nRT7165vlCocPh8zS5dzqcdX5aeRPLN+3nBGfjQj4eT35JSbCvfeaSfevvgq//GI66EOGwOefQ1Zg\n7ScnkE54SNp+ZDsT50zk9StMR1xYJyE6gW9GfEOEPYLub3dnR8YOq0MqNZsNunaFd94xyxn+5S+g\ntRkxHz4cvvxSkrsQhalatSpxcXFnNz0pyIwZM84rgfjll1/Yt28frVq1umB7+u3btwPIShVFuftu\nU5Zy222lrsuoHFuZ76//nkMnD3HZtMvYd9xPy0Z5kd0OffqYuvGtW01p4VNPmZw9apQpV5ESw8Ag\nnfAQcyzrGAM+GsC4i8fRrqZnu7OFnOPHzW41d9xh7tm1bGkS9SWXgFKml3nokNcvGxMZw6fXfMrl\njS6n/Zvtmbttrtev4S8JCSaJ//STWS7roovgscfMSivXXgv/+x8cPWp1lEIElsaNG7N7925OF7AH\neUJCAhkZGTz11FN8/vnnTJkyhbfffpvY2FiuuuqqC87funUrAE2aNPF53EHLZjP5fPFimDy51G+v\nUK4CX434iotrXUw73Y5fdv/i/Rj9pGpVuOsus3DMokVQp475ukYNs0/El1+W+oaB8CLphIeQHGcO\nwz8bTvNqzZnYo3TrpYa0HTvMPbpatUyxc+XKZqFsrc0Oa/feaxZe/egjs7XkFVfA7Nlendlit9l5\n/NLHmXzFZK7+79U8+P2DQXerM7+6dWH8eFi2zJSsdOhgboFWrw69epmFCtaulQlCQnTs2JGcnBxW\nr159wWsRERHcfffdJCUlMX/+fFatWkWzZs0YP348VateOJ9n+fLl1K5dW3bLLE5CAnz2GTz0kBl8\nKaUIewQv9H2Bf/X6F33f78sT854I+CUMi5Oaaip11q6F+fPNGNQTT5iO+oABMGmSKTsU/iPb1oeI\nbGc2Y2aO4c8Tf/Lfv/xXZs6D2dXgscdg6lRTN/Hrr2Yx7PzS0szz+PFmJPyDD0wxdIUKZhHWq64y\n9/e8YEjTIbSr2Y6RX4zk4ikX8+aAN0PijkX9+mbTunvugfR0+OYb8/jXv6BcOdMp79nT3BaVvoMI\nNy1atCAhIYGlS5fStm3bs8efeuqps3+++eabi21n37597Nmzh2uuucYncYacli1NMfSQIaY2o1ev\nUjdxXavr6Fi7I9d/fj1f/fEVeoCmRbUWPgjWv5o2NZ9PHnoI9u6Fr74yOXvCBNMpd+fsHj3M18I3\nZCQ8BBzLOsbAjwayPn09s4bPIiYyxuqQrOV0wltvQZMm8Oef5mP/5MkFd8Dzq1TJLLj6xx8mG/3j\nH9C+PXz7rdeGdOsk1GH29bMZddEo+rzXhzEzx5CeGTobb1SubLZafu89swvnl1+aCZ3vvWe+JY0a\nmdugU6ea5RBlpFyEOrvdTr9+/Vi5ciWHPCh5++GHH4iPj6dbt25ejC7E9ehh7nL+9a/w3XdlaiKl\nUgrzb5rP4NTBdJ3alb999zeOZoVO3V1SEtxyiyknPHgQ3n3XDJa89prZIKhFCxgzxoxPbdsmOdub\npBMe5FbtX0XXt7sSXy6e2dfPpnJsZatDstb69Wa49eWXzQjIBx+YEpPScjhg6FBT+HznnXDrrWZo\nYNkyr4Rpt9m5vcPtrLt9HZnZmTR6tRFPznuS46dDawMOu93UjY8fbz7HHD5sOuPNmpnOedeuptN+\n+eXw6KMwcybIhmwiFHXv3p3ExERmz55dpvdnZGSwePFi+vfvT2RkpJejC3F9+5qO+LBhZaoRB1Oe\ncn+X+1k9ZjXbM7bT8P8a8uLiFzmVfeE67sEsIgI6dYKHH4a5c03O/ve/za/R994zN46TkmDwYFPd\nOXu2T6ZShQ2pWQgQSqlI4PSkSZNwOIpf0SQrO4un5j/FK0te4ZEejzCu4zjstjD+TJWVZWofXnoJ\n7r8f/vY3yLeqgEdOnTLDAk8/bTrj//xnyUbWS2jlvpX8Y84/+HnXz9zR4Q7Gth9LldjQX4IsN9fU\nIC5ebKqFfv3V7NxZsaLZeKJ1a/No2RJSUswviECWk5PD2LFjAaK01sGzOLwotdLmbBEA1qyBK680\n836efx5iyn7XeMmuJUz4cQLrD65n3MXjGN12NAnRCV4MNjA5nWas6+efz+Xs1atNx/yii87l7Fat\nTJmilyo5fcbqnB3gv9JEfqdzTjN1+VSenP8kqVVSWaaW0bBSQ6vDstbs2WbFkzp1YOlS01vztuho\n07EfNQqee86UqFx9tSlZ8cL1WtdozZfXfsnSPUt5YfELNHilAdc0vwbVVtG+ZvuQrfG32czkoIYN\n4brrzLHsbFOm8ttvsGoVvPmmSfKHD5uJRc2bm3rG1FTzSEkx3x4hhChSixZm8eybbzaf8t991+Ty\nMri49sX8cMMPLNyxkOcWPcdT85/iulbXcWubW2ldo7WXAw8cdru5k9msmfnfCHD6tKn6/O03M0n/\nlVdMzj516ty5zZqZfN2kiVm73JtjZMFMOuEuSqlLgEeAdkA2sBiYoLVeUYo2RgO3AylABjDT1caf\nnsa3//h+3vztTSYvnUy9xHpMGzyNS+tdGrKdsxLZuNF0jJctg2efNZMvff3/IzHR3IO780544QVo\n29ZMK7/3XpPUPdSuZjs+uvojth/ZzpTfpjD4P4OpHFuZa1tcy7AWw2hQMfTXBo6IMB3t5s3PP37w\noBnIWrfOJPx588yIzJ495lZpo0bnOvQNG5pRmPr1zbdMhJ5Az9kiQFWrZlZLeests5j2sGFmAn+1\namVqrktyF7okd2Fj+kbeXPYmvd7rRXJCMsNbDGdoi6HUji9DOWSQiYoyZSruNQ7A3OXct8/k6t9/\nN8/ffGNy9p9/Qr1653J2SorpmLtzdlycZX8VvwvjHtw5SqkrgC+Bw8CHmP8vw4FooIfWemkJ2vgX\ncD+wAfgCqANcA2wFOmitjxTz/gtubWY7s/lu83dMXT6VbzZ9w6DUQdze/nY61e4U3p3vP/4w6ypN\nn24WPH3gAbO9oxX+/NOUqbz+uhmeHT3arKbipaHZbGc2szfP5uPfP+bz9Z9TL7EeAxsPNGuO12pP\nhF0+R2dmwqZN5sdi82bz2LLFbFKxfTvExpqEn5x87lG7tnnUqmUeHtyVPo/VtzbDRaDmbBFk9uyB\niRPNUrV33GEe1at71GRWdhbfbPqGj9Z8xMyNM2lWtRkDmwykf0p/0mqkyQZ6mL0k8ubsTZtMvt6y\nxWwIl5holsCtW9fk6zp1zs/XNWt67+6n1Tk77H+DK6WigMlAJtBJa/2H6/hrwDLXa0WuIaeUagGM\nB1YBHbXWp1zHvwGmAf8A7ittbM8seIaP1nzELRfdwutXvE7V8oG/TtCKFStIy/tx2FucTlN2MmmS\nmS0yerT5F1zG0YvClDr+qlXNKMqDD5qJP//+t0nk11xjHt27e1TIHGGPoH+j/vRv1J83st/gp+0/\nMWPDDG6cfiP7T+yne93udEvuRpc6XWiT1IYNv2/wzf9/Pyrt9yA21tQftmp14Ws5OWb5rW3bzHLx\n27eb54ULTbLfvdt8jkpIMDWNSUlmE4saNczv4urVzY9YtWrmW121qvc67KJsAjlnBxuf5Ws/8ujv\nULMmTJkC48aZu6kpKSZv33wzdO5cpjur5SLKMSh1EINSB5F5JpMftvzAjI0zuOq/V3Es6xiX1LvE\n5OzkLqTVSGPt6rVB/T0oy///+Hhz47igm8dnzpi8nDdnb9pkfu3v3GleS083C5m5c7Y7bxeUs6tU\nMcvkBqqw74QDvYFawGR3MgfQWm9QSn0A3KqUSivmFueNmJGYp9zJ3NXGe0qph4AblFL3a61zShPY\n+C7jmdBtQlCNens1qWdnm/q9Tz4xayfFxMDYsWYntIoVvXONfMocf3Q03HSTeaxbZzrkY8eabNGv\nH/TvbxZd9WCUpVxEOfo07EOfhn0A2H5kO3O2zWHBjgVMXT6VLYe3cGXmlVTcXpFW1VvRqnormlVt\nRrXy1cL2Z8jhODfqXZjTp82KLHv3moEx95+3bjWTjw4cMB31AwfgyBFz06VKFbOqS95HpUo++7EU\n5wvYnB1swr4T7taypVn6Y+dOs4nb8OEQGWnuag4YYJYLKcNgSmxkLAOaDGBAkwHk5uay+fBmftz6\nIwt3LuS1X19j19FdDMgcQJVdVWhZrSUtq7ekWdVmQTUp39s/Q5GR5s5lvXqFn3PqlCl12bPHPO/b\nZ3L2xo1mEyJ3vj5wwIy6V6hgcrY7b1eqFDg5Wzrh4F5w9YcCXvsBuBXoChSV0LsBuYW08SNwG9AM\nuHC7tCJEOcJs5kJmppnZsWQJLFgAc+aYfylDhpjbhe3b+77m2xuaNoXHHzcj5OvWmV0Qpk41kzqT\nk826fO3amUfz5mUeWq2bWJeRaSMZmTYSgIxTGUx6cxJRVaNYvm8576x8hw0HN1AuohyNKzcmpVIK\nDSs2pF5iPeol1qNOfB1qxdciNjLWi3/54BMVZW531qlT/LlnzpjPVenppkb94EGzPFd6upk4unZt\n4K8GEAICNmeLIFenjln56rHHzO+g6dPNqPiBAyZvd+tmtgZu06bUk01sNhsplVJIqZSCaqsASM9M\nZ/KUyUQkRrBo1yLeWPYGG9M3EhcVR5MqTc7m7LoJdU3OTqhDzQo1iY4I75no0dHFd9TdsrJMnnbn\nbHf+dufsnTutXXVLOuFmQg7A5gJe25zvnKLaOKa1LmjHFXcbDZGEDidPmp/6HTvMUOOmTebj65o1\n5uvGjeHii83I8QsvmNkawcpmOzct/G9/M9lg2TJTCzF3rlkia9s2MxMlNdXMUklJOVcMV6uWSfQl\n/OCREJ1AUoUkRnYeefaYM9fJjowd/JH+B5sObWLz4c18velrth3Zxq6ju9h/fD+J0YkkVUiiRlwN\nqpevTrXy1agaW5UqsVWoHFuZSjGVqBhdkYoxFUmMTqRCVIWwrWuMjDxXrlKQnBxzA0T4lORs4Vt2\nuykl7N4dXnzR5Ol588ww68cfm5mGNWua3N60qZld2KDBuQLmChVKdJnKsZWpFV+LkV1Hnj2W48xh\n65GtbDq0yeTsQ5tZsW/F2Zx9MPMglWIqkVQhiaS4JKrHVadabDWqxFYpNGfHRcWF7RLG5cqdqyUv\niNU5WzrhEO96Lmj7K/ex4hb/jAf2FfJaSdsILjk5cPy4uddz9Ki5T3/kiJll8eqr5w8X7t9/7h7/\nkSOmJCM52XQ0GzWCQYPM3rlNm1o3wdIfypUzdYadO587duKEGT7dsMF8IFm0CP7zH1MIt2eP+Yhe\no8a5Ajf3PbTERFPInJBgEn5cnHmkp5u2YmIgOhp7TAz1yteiXkJdejfsfUFIp3NOs+/4PvYe28ve\n43s5cOIA+4/v58CJA6w9uJb0zHQOnTzEoZOHOHLqCBlZGWQ7s4mLiiO+XDwVoioQFxVHXFQc5aPK\nUz6yPOWjyhMTEUNsZCwxETHERMYQHRFNTEQM5SLKER0RTTlHOcpFlKOcoxxRjiiiHFFOO7e/AAAg\nAElEQVREOiKJckRx5NQRNh3aRKQ9kkhHJJH2SCLsEUTYI4h0ROKwOYiwRwRViY3wKsnZwr/cw643\n3GC+PnXK5Nm1a81yH4sWwfvvmwGmPXvM7zF3gXL+vJ2YaIqi4+PNeX/+adbzi42FmBgcMTGkxNQi\npUEDSOl3QSinsk+dzdf7ju9j//H97D+xnz3H9rDqwCrSM9M5fOrw2Zx95NQRnLlOKkRVoEK5Cmef\nz+btyPLERsael69jIkzOdj/cuTp/zo5yRHH45GHWH1x/Qb6OdJzL2xH2CBw2h+TsAkgnPMDk5OQp\nQZwzB3788fwTCtov1n0s72u5uec/3MecznPPOTnm4f5zdra53376tHlkZZlkc/KkeWRmmk7jiRPm\nzw6H6QC6O4Px8Tjr1SNn165zsyZatjw3S8I9e6KoBUJzrC3BdDqd538PfC06uvAZKk6n6VTv3Ws+\nzPz5p7l/lp5uPszs3AkZGXDsmHmcPImzdm1yXn753PcrK8t8v2028/+9XDkznBsVBZGROCIiqBUZ\nSa2ICNPhdzjOPbsf9grgSAS7nVyHgxxyycbJGXLIJoczuU6yc3PIzj1Edu6f5rVcJzm5OeY45/6c\nk+skG/Ock5vDiVwnGblOclzHnLlODtZqz/xpD5GD0xzDiTM3F2euE4Bcdx63mZ1HsdmwYcdus5k/\n2+wm2dts2LCB62s7tnPH3a9hMzcabHbzVd7jdtez62I2gPzHbOe/nmuzQ81LffXTIgKQX/OFl/k9\n3/mAJX+HyEiz5niLFhe+lp1tylfcg0/uGogjR0wuX7/e5OujR+H4cZxJSeRMmnR+zj7jWqQjIsLk\nbFe+JjKSyMhIkl2P83L1eXk7HuyJ4HCQa7eTY8vlDCb3Zue6cjZnyM49yBkOuPJ3DtmuXJydm0OO\n03k2f+fN2cdzTV525+xDNdux5P2J5vtwXs42eRuKz9nuY57kbJtpnMLys/nPfQ0IlJwtnfBzox7x\nBbzmPpZRgjYKen9p2nACO+68887kYs7zPrvdPCIjvbL0wxIwo+THj5sR3SCzZMkSq0MoGYfDfNip\nVOm8w0uSkiwKyHv+rBjUG1DtwPx7Fr4hOduLgibfFSGo/g4xMeaRZ2WvJX36WBiQ5w4E//4VluVs\n6YTDJtdzChdO5GmY75yi2mivlKqitT5Ylja01jlKqQZAeBZuCRE6nKG+qobFJGcLIbzJspwtnXCY\nh9mwoSfwSb7Xerme55egjQ6uNj7O91pP4CCwtrhAXD8E8stbCCEKJzlbCBES5BM8fA/sAq5XSjV2\nH1RKpQIjgN+01itdxyKUUqlKqfyLmU3D3MqYoJSKydPGDUAj4F2ttdyeFkIIz0nOFkKEBJmqytkt\nkL/A1ADm3QK5HHm2QFZK1QO2AD9prS/N14Z7C+SNmO2Ua2G2QN6C2QK5uPpCIYQQJSA5WwgRCmQk\nHNBaz8LcxlwFjASuAxYDXdzJPJ8LlijRWj+A2eDhNHAncBnwjqsNSeZCCOElkrOFEEIIIYQQQggh\nhBBCCCGEEEIIIYQQQgghhBBCCCGElWR1FAsppe4C2rse7qW2orXWp62LquSUUrUxqwlcAaQCVYD9\nwGzgn1rrbdZFVzylVEXgceBioB5mp7y9mA1AntdaL7QuurJTSn0ODAL2a60DfvtMpVRRS8H101p/\n57dgykgpFQHcDlwPNMGsHb0FmK61ftzK2IT3SM62luTswCA523tkdRRrvYxZVisKOEIBM/gD3B3A\n80B1zHJhL2KW+7oJ+E0p1dzC2EqiOnAjkA78F3gBWAT0BuYrpW6yMLYyUUpdAwwAThFcP0/bgEcL\neBS386HllFKxmE7MS8Bx4N/AW8BuYIiFoQnvk5xtLcnZgWMbkrM9JjtmWqs/8KvW+pBSai7Qzdpw\nSu1noLPW+ue8B5VSd2OS+/OYv2Og+gNIzL8ph1KqCbAcM+LythWBlYVSqjLwqusxGLNmcrDYFsQj\nxi9i/u1eo7U+bwdHpZQMdIQWydnWkpwdOCRne4F0wi2ktf7W6hg8obWeXshLrwBPAl38GE6pubac\nLuj4BqXUeiDQR4XyewU4CTyMjMD6hVKqLnAr8E7+ZA4guy6GFsnZ1pKcLTwVaDlbOuHCF2xANqbG\nKui4dtlrjLnNGRRcOwgOB67QWp9QSlkdUmlVUkrdBlTC1HjO1lrvsjimkrgK8/P+qVKqKqauswqw\nFfhKa33MyuCEKCHJ2X4mOdsyAZWzpRMufGEQUAH4zOpASkIplQSMBhxAHcxtwQ3AzVbGVVJKqXhg\nMvCx1vprq+Mpo1bApDxfZyulXtJa/92qgEqores5FfgI83Pvlq6UGqq1/tH/YQlRKpKz/UhytqUC\nKmdLvaLwKqVUdUx92ylgosXhlFQtTKwPATcATuB9YLuVQZXCc0AMcJfVgZTRc0A7IAGojJmktBkY\nr5R6wMrASqCK6/kZ4GOgLmZkaCwQB3zm6jAIEZAkZ1tCcrZ1Aipny0i48BqlVHnMjPsk4Fat9VqL\nQyoRrfVSwO5asigFuA8z6/4iTIIPWEqpS4BRwCit9Z8Wh1MmBYyczFJKrQBWAw8opZ7XWmdbEFpJ\nuAcyVmit895PnqyUSgYeAG4BnvB7ZEIUQ3K2/0nOtlxA5WwZCRdeoZSKAWYAHYDxWuupFodUalrr\nbK31eq31rcC3wHVKqaZWx1UY1y+gKcBPWuugWRGgJLTWu4HvMesAp1ocTlEyXM8zC3hthuu5jZ9i\nEaLEJGf7n+TsgBBQOVtGwoXHlFLlgM+BS4CJWusXrY3IK+YAfYFmwDqLYylMHNAAaFDY5gmu4xla\n64p+jcw7Drqey1saRdE2up4zCnjtqOs5xk+xCFEikrMtIznbegGVs6UTLjyilIrEbJrQB3hGax0q\nt93dNWGBvLrFKcwGAwVt8DAMM2npAyDTn0F5UTvM3y2Q6zznAA9ifvHn5x6R2+G/cIQomuRsS0nO\ntl5A5WzphAcem9UBlJRSyoGZDDMA+D+t9YMWh1QqSqlmwB9a6zP5jrfCzLI/DCywIraS0Fqfwqx3\negGlVB8gKl/NW8Bx3TreVMD34D5MQp+vtd5nSXAlMwezgcgIpdSLWuv1AEqpOExtYS7wqYXxCd+T\nnO0nkrOtJznbu6QTbiHXLGJ37VQqJplPUUrlYH4Q/qa1TrcqvhKYCPwVcwvqiFLq0Xyv52qtH/N7\nVCWnMP8QF2A+uecATYB+rj8P11oH64hEsBiN+R78BOzEjAR1wiwjdQDzPQpYWuscpdQo4DtgiVLq\nU8w2yFcA9YH3tNbfWRmj8B7J2ZaTnG09ydleJJ1wa/UFenDu1lQuZvF+m+vPjwCBnNCTMXFWpuCl\nrXKBQE7o/wMSMQmkJxAF7MGMFL2otV5lYWyeKuh2ZyD6GrPObxvML1IHsA14GXOrfL91oZWM1nq+\nUqoL5md9CGbr6Y3AXVrr1ywNTnib5GxrSc62nuRsIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGE\nEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBC\nCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBClIrN6gCECDVKqYuAW4EErfWIQs55EZistd7o\n1+CEEEKcR3K2sIrd6gCECCVKqZrAQ8BNwKlCzokCOkgyF0IIa0nOFlaSTrgQXqS13gNcC+QA3xVy\n2kBght+CEkIIUSDJ2cJK0gkXwvu6AzHA7EJevw5413/hCCGEKILkbGEJ6YQL4X39gN+01ofyv6CU\nqgE4tNZ7/R+WEEKIAkjOFpaIsDoAIYKZUsoO3Ak0BvYAhzAJvbBbl9cB75egrb1ABnAV8JzW+ivv\nRi6EEOFHcrYIJNIJF6KMlFI2THIup7W+2nVsFNAck5gLMgjoWYq2egCjvR+9EEKEF8nZItBIJ1yI\nslPAEKB2nmNZQCaw4IKTlWoPrNZany5hW5nAXpmRL4QQXiE5WwQUqQkXogxctyEnAN9qrdPzvNQL\nmKu1zi7gbSOBd0rRVm9gjrdiFkKIcCU5WwQi6YQLUTZNgDpcOJu+ZwHHUEqVA1prrX8pZVuS0IUQ\nwnOSs0XAkU64EGUT7Xpe5T6glGoK1AS+U0q1V0r1y3P+QODLUrSVirnNOVcp1UYp1d9rkQshRPiR\nnC0CjnTChSibtZiZ9fEASqkKwEvAca31OuAKzq8xvA54rxRtvQxkaa03YyYGLfTB30EIIcKF5GwR\ncGxWByBEsFJKdQLuA1ZiJjlPBjTwO7BVa/2G67wk4A2t9cAytLXO1dbrPvyrCCFEyJOcLYQQYUYp\ndb9S6q9WxyGEEKJ4krOFv8gShUL43gDgMquDEEIIUSKSs4VfSE24ED6klOoArNJan7E6FiGEEEWT\nnC38STrhQvjWSApYZ1YIIURAGonkbCGECH5KqcKWuBJCCBFgJGcLIYQQQgghhBBCCCGEEEIIIYQQ\nQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEII\nIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGE\nEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBC\nCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQorRsVgcQSpRSduAJ4GagPLAA\nGK213mFpYEIIIc4j+VoIYTW71QGEmPuBYUA3oAawA5ihlJIPO0IIEVgkXwshLCWdcO+6DXhGa/2H\n1voEJsk3BrpaG5YQQoh8JF8LISwlnXAvUUolAMnAUvcxrXUGsBlobVVc/8/efcdHUW0BHP9tCiVI\nCb1JBwGJBJAO0kMoofcWmiO9g0gHEelSBGFoBoh06b13UMGAPBuKIiiiFEEFKSHvj5togLTdnd3Z\n7J7v58Mnj93ZO4eHnNzcufccIYQQT5N8LYRwBTIJN0666K9/PPP6H7HeE0IIYT7J10II0/mYHYAZ\nNE3rB5SN/lUk+uVUuq4/jOf66sBY4FXgMXASGKHrekSsy+5Gf03/zMczxHpPCCGEFSRfCyHclaeu\nhM8C2gEpUCsfUfFdqGlaA2A/EAAsA1YC5YHjmqa9GnNd9KPMy6hvFDGfzQAUAmInfyGEEEkn+VoI\n4ZY8dRJeD8ii63oB4Hx8F2malgJYANwDKuq63k/X9b5AJdQ3ggXPfGQBMFTTtMKapr0ATAW+1nX9\nmCP+EEII4QEkXwsh3JJHTsJ1Xd+t6/qtJFxaB8gFrNB1/WKsz38DhAOlNU0LjHX9VGAtqt7sr8CL\nQCPDAhdCCA8j+VoI4a48ck+4FapGf90fx3v7gddR5awiAHRdjwJGRP8SQgjhPJKvhRDJikeuhFuh\nUPTX7+N47/tnrhFCCGEeyddCiGRFVsITFlOqKq7T8vGdrreZpmneyA9GQiR3T3RdjzQ7CA/k1HwN\nkrOFcBOm5WyZhLsITdO8/f39H9++fdvsUIQQ9vlJ07QCMhF3b5KzhXAbpuVsmYQnLGb1JK7mDTGv\n3THoXl63b99m7ty5eHt7GzSk/d5b8B4Xc1/k0OVDfH/7e9KlVH/s+4/uUyJrALUzdSbFN+1YsyIt\nDx7A0KHQtSv4+sY/ZlhYGKGhoTbFY+1nk3J9Ytck9L6179nzZ3cER8XjrL/jpF7riL/juF6PjIyk\nb9++eVCrozIJdy5n5mtIIGd/+SX06gXXrkHv3lE8LLGE9buGsWyPHwVuPcG36+t4NQyBkiUTTpZW\nivO/1UePiNq/nz9nT8Xr0zN0C4niUsHm/LF2Jl4P/Bk+HDp2BJ8EZgOekLOtfd0skrMTfz855WyZ\nhCfsu+ivcdWOLfjMNYZYuXIlpUuXJjAwMPGLHej7W9/TY3sPfvvtNxoVa8SHTT+kTM4ypPBOAcDv\nf//O8SvHWXhmIad8RvLe6lnkudWJUaMszJwJs2ZBw4Zxj126dGmbf9Cw9rNJuT6xaxJ639r3vLy8\nXOqHLHv+Lhw1rjWfTeq1jvg7fvb1iIgIzp49m4SohYM4PV/D8zl7xQro2xdGjIABA6J46+AQbn28\nipOrwWdYPxg0CFKmNDoMIJ7/Vr29oUED/Bs0gN27WduxI7srf07P7mXo/+I6Pni3HDNnwrx5UKOG\nFePaE5Od1zvj33MMydnGflZy9tNkEp6wI8AwoBaw/pn3akd/PWrkDUNDQ03/Bx9+Ppy+O/syoMIA\nhrYZSmrf1M9dkyVNFpoUbUKTok04ffU0HTZ2oGS2rew8sJQDO9PxxhsQFKQm4+mf2YVpzw8Y1n42\nKdcndk1C79v6nqtwVIzO+jtO6rWO+Dt+9vXAwEACAgI4ffp0kmIShnN6voanc/ayZTBqFOzdC2XL\nwowTM/l59zo+Wn0Pr7XroU4do2//lET/PdSti9f589SrW5etGV/htYd1CQtfwZ9nGtKqFbRtC5Mn\ng5+flePaE5MN1zvj37Orkpyd+PvJKWfLgZL/WOJ4bR9wFeioaVpMu2Q0TSsKtAfO6rp+zknxOcUH\nn37A4D2D2dVhF2OqjYlzAv6s8rnL8/kbn+Pj5UO98GBq1b/LF1/Aw4cQGAjn3Or/ISGEC3DJfN24\nMZw6pSbgEb9GMHf3BFaseoDXgoUOn4AnWfbssGMHAXvPcfpRZ0I3dyR7xf188QVcvgzlysF3hj8v\nEELExSNXwjVNGw4Ujf5tUVRCX6xpWiSqs9oQXddv6rr+UNO0nsBm4KSmaR9FX9su+rM9jI4tLCzM\ntO0oH0Z8yPjD4zkQeoDiWYpb9dkXUrxAeLNwOm3qRL3weuxsv5Pw8HQsWgTVq8OCBdC6tWPiFsIV\nuMKjTXfkyvkans7ZGTNCxowQFRVFr+292HruZXyDCrte8suVC3btokjVquxcMIb661qyu8NuNm0q\ny7RpUKEChIdD3bpmByqE47hCzvbUlfC6QCegI5AFlcjbRb/WCUgTc6Gu69tRjzLPA52BDsBJoLKu\n658ZHVhoaKgpE/Cz184ycPdAdrbfafUEPIa3lzdhTcJ4Md2LtN3QlidRT3j9ddixAwYMgHfegago\ngwNPZpLLI09hvcDAQJc6wOVGXDZfQ9w5e/vF7aS79DMlDn0JU6c64rb2K14cpk6lwrjFzKk1nZbr\nWnL7n1sMGwYrV0K7drBokdlBmk9ytvtyhZwd1yM9YQJN03yBh/Pnz3f6nvA7/9yh1MJSjKw6km6l\nu9k93v1H96m8tDJNizZldLXRAPz4o1pVqVMHZs9WZ4WEcDeRkZH06tULIIWu64/Mjkc4TkI5u+qy\nqixb/5hCJWvApEnmBJgUUVFQuzZUq0b3wJ/4/d7vbGq9CYvFwhdfQL16oGkwejRYZLYg3JDZOdtT\nV8JFLCP2j6BsrrJ0LdXVkPFS+6ZmQ6sNzD49m13f7QIgXz44dgw+/RQ6dIBHMj0RQrih89fPc/vS\nlxQ8cgH69zc7nIRZLLBwIcycydz8vbl0+xKzTs0CICAAjh+HVavUk0xPf4ophCPIJNzDnbxyktX/\nW82c4DlYDFzqyO+fn7AmYYRuCuXGvRsAZMkC+/bBL79Amzbq4KYQQriTZZ8vY8rVYlgaNYJs2cwO\nJ3GFCkH//qSeMInVzVcz/vB4vr/1PQB588KRI3DoEPTsCU+emBuqEO5GJuEuJiwsjIiIZ0vcOkbk\nk0h6bu/J5FqTyfaC8d8sGhRpQEiREAbsGvDva2nTws6dcPcuNG8ODx4YflshTBEREUFYWJjZYQgn\ni52zI59EsvrCKmoduaq6liUXAwfC/v28fO0xAyoM4I1tbxAVvfSdJQscOKCeYnbvLhNx4T5cIWfL\nJNzFOPNg5orzK7BYLIbsA4/PjKAZHPrxEFu/2frva35+sHWr2pLSsqWsiAv34AqHfITzxc7ZJ6+e\npNx1H1Lef6jKQiUXGTKoJkLjxvFWlbf45c9fCDv33+QkUybYvx+++ELtEZeJuHAHrpCzZRLuoe49\nusfIAyOZXmc6XhbH/WeQPlV6FjRcQI/tPbjzz38do1Olgo0b4f59tTVF9ogLIZK7y39cZujP+bC0\nbJn8Tp/36wdHjpDy3AUWhSxi6N6h3Lx389+3M2SAPXvg7Fno3Vv2iAthBJmEe6g5p+fwSrZXqFWg\nlsPv1bBIQyq/WJm3j7z91OupU8PmzfDHH9C+PURGOjwUIYRwmPavtKfKmd+hWTOzQ7FeunQweDBM\nnEjlPJVpULgB4w+Pf+oSf3/VDfTkSTmsKYQRZBLuge78c4dpJ6bxTs13nHbP6UHTWXx2MV/f+Pqp\n1/38YMsW+Pln2W8ohEjmvvkGbtyAypXNjsQ2PXqo0/M//MCkWpNYfm45X/3+1VOXZMqkVsT37IFR\no0yKUwg3IZNwD/Teqfeoka8GpXOUdto986TPw6CKgxiwa8C/B35ivPACbN8O589D376yuiKESKZ2\n7ID69cEnmTajzphRPZacP5+caXMypNIQBu0Z9NxlWbOqufqqVfDuuybEKYSbkEm4h7l1/xazT89m\nXPVxTr/30EpD+frG12z7dttz72XIALt3q1JYI0c6PTQhhLBfnz7w3ntmR2Gffv1gyRL4+28GVxzM\n/377Hzsv7nzusly51GHNefPULyGE9WQS7mFmnpxJcKFgSmQt4fR7p/ZNzbQ60xi2bxiPnzx+7v3M\nmdUjztWrYcoUp4cnhBD28fVViSw5K14cypSBFStI7ZuaSbUmMXz/cJ5EPb9XMH9+tUd8/HjV6l4I\nYR2ZhLsYR9YJv3nvJu9/8j5jXhvjkPGTokXxFqRLmY6lny+N8/1cudRjztmzVSM3IZILV6g5K5zP\nmb0dnKZ/f5gzB6KiaBfQDoBVX6yK89JixVTvh/791fkeIZILV8jZMgl3MY6sEz7txDQaFmlIsSzF\nHDJ+UlgsFqbWnsq4Q+P4++HfcV5ToIBaXRk1CtascXKAQtjIFWrOCudzZm8Hp6lfH+7dg2PH8LJ4\nManmJEYfHM3DyLibOpQpAx9/DKGhakuhEMmBK+RsmYR7iOt/XeeDzz5gbLWxZodCtXzVKJ2jNO+d\nin/v5Msvw7ZtqlXy7t1ODE4IITydl5fq+Ll4MQD1C9cnd7rcLPws/seT1arB8uWqE/KZM84KVIjk\nTSbhHmLysck0L9acwpkKmx0KAJNrT2bGyRncuHcj3mvKl4e1a6FtWzhxwonBCSGEp+vSRS1v37mD\nxWJhcu3JTDw6Md4nmAAhIWorYf36qlqjECJhMgn3AJf/uMySz5e4xCp4jBJZSxBSJISpx6cmeF3t\n2rBoETRqpFomCyGEcIIXX4QqVVQdQqDSi5V4NeervP/J+wl+rEMHVeEqKAiuXHFGoEIkXzIJ9wBj\nD42lW6lu5M2Q1+xQnjK22lgWnlnItT+vJXhd8+aqFm3dunDpkpOCE0IIT9e9uypXGG1C9QlMOzGN\nuw/uJvixfv3U/vCgINW7SAgRN5mEu7mIXyPY/M1mRlQdYXYozymYsSBtXm7DpKOTEr329ddVYg8K\ngl9/dUJwQgjh6UJC4PJlOHcOgDI5y1A1b1VmnZqV6EfHj4caNdTWlD//dHSgQiRPMgl3Y1FRUQze\nM5gRVUaQJU0Ws8OJ06jXRhF2LozLf1xO9No334QmTSA4GP74wwnBCSGEJ0uRAjp2hA8//PelCdUn\nMOvULG7fv53gRy0WmDtXVbtq1gwePHBwrEIkQzIJd2Mbv97ID7d/oG/5vmaHEq8X079Il8AuTDwy\nMdFrLRaYNg0CA9Ue8fv3nRCgEEJ4so4d4aOP4LFqsBaQLYCggkHMPDkz0Y96e6uKKV5eapjISEcH\nK0TyIpNwN/X3w78ZsGsAc+rNIZVPKrPDSdDwKsNZ8781XLqd+IZvi0VVzfL3h9at4dEjJwQohBCe\nqmRJyJZNtTOONqbaGN7/9H1u3b+V6MdTpIANG+Cnn6B3b4iKcmSwQiQvMgl3MUZ1XxtzcAylc5Sm\nYZGGBkTlWDnS5uD10q8naTUcwMdHtba/c0ftFX/yfDdlIZzOFbqvCedzy46ZsVksahl7xYp/Xyqe\npTj1CtVjxokZSRrihRdg+3Y4cgTGmNewWYinuELOlkm4izGi+9rpq6f58NyHzKs/z6CoHG9Y5WFs\n+GoD3936LknXp06tWiRHRMDQobK6IsznCt3XhPO5ZcfMZ7VrB1u3qpWPaGOqjWHep/MS7PUQW6ZM\nqvFaWBjMmeOoQIVIOlfI2TIJdzN/PfyLjhs7Mr3OdHKly2V2OEmW7YVsvFHmDd4+8naSP5M+Peza\nBZs3w5QpDgxOCCE8Wa5cUKmS2lcSrWjmojQs0jDJq+GgSo/v2QPvvAPh4Y4IVIjkRSbhbqbfzn4E\nZAugc2Bns0Ox2tBKQ9n09Sa+vfltkj+TPbtK6nPm/NthWQghhNE6dlSnLGMZU20M8z+bz+9//57k\nYYoWVVtT+vaFnTuNDlKI5EUm4S7Gnv2FSz9fysEfD7I4ZDEWi8XgyOxw7Ro0aKBOUr7zDnz/fZyX\nZUmThZ6v9rRqNRxUCaxdu2D4cNVlWQgzuML+QuF8br8nPEbTpnDmzFNtMItkKkLjlxoz42TSV8MB\nXn0V1q1Tu1xOnDA6UCGSxhVytkzCXYyt+wtPXDnB4D2D2dBqA/6p/R0QmY2uXVMdGwoWhFq14OJF\n1Yv+dtw1ZodUGsKWb7bwzY1vrLrNK6/Apk3QrRscPGhE4EJYxxX2Fwrn84g94aBOV4aEqFPxsYx6\nbRQffPaBVavhoL4dLFqkys1euGBkoEIkjSvkbJmEu4FvbnxDk9VNWBSyiNI5Spsdzn9++w2qV1cd\ndmbPBk1TTR9q1YJOneIsa5LZLzO9Xu1l9Wo4QJUq6gB/ixZw9qz94QshhIilfeWody8AACAASURB\nVPvnNnPHrIZPPzHd6uFatFAPR+vWhR9/NChGIZIRmYQncz/c/oHaK2oz6rVRtCjewuxwnjZqlDrM\n8+67qsxVjLlz1SPNqVPj/NjgSoPZ9u02vr7xtdW3bNgQZs1SrZK/TfrWciGEEIkJCoKrV+F//3vq\n5dGvjWbBmQVWr4YDvPEG9OoFdeqodRshPIlMwl2MNfsLL968SPWw6vQu25t+5fs5ODIrffklrF0L\nkyc/PQEHVV9w/Xo1Of/u+ZKEmf0y06tsLyYcnmDTrTt2VPvDg4Lg559tGkIIq7nC/kLhfB6zJxzA\n1xdatVIdNGMpnKkwTYo2YdqJaTYNO2KEOjYUHAx37xoRqBCJc4WcLZNwF5PU/YWf/vwpVZdVpX/5\n/gyvMtwJkVlp+HAYNEh1WotLoULQvXu8tQUHVxzMjos7+PL3L226/YAB6slp3bpwK/GmbkLYzRX2\nFwrn85g94THatVOT8GeaM4yqOoqFZxby29/WL2dbLDBzJrz8MjRuDP/8Y1SwQsTPFXK2TMKTodUX\nVhO0MoiZdWcyqOIgs8N53uHD8OmnahKekMGDYc0a1c/4GZn8MtG3XF+bV8MBJk6EypXVFpW//7Z5\nGCGEEDEqVVIT8JMnn3q5cKbCNCvWjKnH495mmBgvL1i6FPz81Dz/8WMjghXCtckkPBl5GPmQgbsG\nMmj3IHa020G7gHZmhxS3sWNh9Gh1mj4hOXOqvSPT4n6EOajiIHZ/v5sLv9l2dN5igfnz1W1atICH\nD20aRgghRAwvL2jb9rktKaBWwxedXcSvf/1q09C+vqp04fXr0KOHdEIW7s/H7ADciaZpU4AGQB7g\nLrADeFPX9bjr8Vnh0u1LtN3QljS+aTj7xlmyv5Dd3iEd4/Rp+Oor6No1adcPGwYBATBypOq8E4t/\nan/6l+/P+MPjWddynU3heHurw/wNGkDnzrBypfoeIoQQjszZbq1dO1XlatYs8PlvGlEwY0FaFGvB\n1ONTmVl3pk1D+/nBtm3w2mvw1lvqWJEQ7kqmI8Z6DLQH/IFSQF7gQ3sHXXNhDa/qr9KgcAP2dtzr\nuhNwUBVP+veHVKmSdn3evGqZetasON8eUGEA+y/t5/z18zaHlDIlbNyoSpT37y+rK0KIfzkkZ7u9\ngAB13mf//ufeGvXaKJZ8voRrf16zeXh/f9i9W+1WnGFdHyAhkhVZCTeQrusjY/32d03T5gLh8V2f\nmAePHzBg1wC2XdzGlrZbqJKniv1BOtK338K+fdb3j+/fXzXwGT9ezZhjyZAqAwMrDGTsobFsbL3R\n5tDSpoUdO6BqVXj7bRgzxuahhBBuwuic7VFiDmjWrfvUy/n989P65dZMPjaZ2fVm2zx8zpywd6/q\n/5Apk3qSKYS7kZVwx6oF2Fy76sjlI/zwxw98/sbnrj8BB5g+XVU88beyY2fJkqpaSjw95/tX6M/R\ny0c588sZu8LLkgX27FFd2ubNs2soIYR7sitne5Q2bdQjxvv3n3tr1GujWBaxjCt3rsTxwaQrVAh2\n7lRn+LdssWsoIVySTMIdRNO0VkA3oL81n4tdc7ZOwTrsbL+TzH6ZHRChwX75BVatgoEDbft8z57w\nwQdxvpUuZTqGVR7G6IOj7QhQyZNHPeYcN+657stC2MUVas4K2xmRsz1K/vxQogRs3/7cW3nS56FT\nyU68c/Qdu29TqpRanwkNVYW3hDCKK+Rst9+OomlaP6Bs9K8i0S+n0nU9zloZmqZVB8YCr6L2C54E\nRui6HhHrmvbAgujfRgHFdV2/Guv9NsA8oEHszyVFaGgo3t7e//7e8myjG1c1c6Zq4pA7t22fb9lS\nFff+3/9Usdhn9C7bm5knZ3LyykkqvljRrlCLF1cHf4KD1aL9M09ThbBJYGAgAQEBnD592uxQkrXk\nnrM9SsyWlBbPd2seUXUERd8vyrDKwyjgX8Cu21SrBmFh0KyZ2vFYqpRdwwkBuEbOdvtJODALlXQv\nA38A6eO7UNO0BsAW4DawDLAA7YDjmqZV03X9MwBd18OJZ9+gpmndgClAPV3XPzHwz+G6bt1Sezw+\n/dT2MVKnVpv+Fi6EOXOeeztNijQMrzKc0QdHs6/TPtvvE618eXXop00btVe8QgW7hxRCGENydnLR\nqhW8+Sbcvv3cNsScaXPSvXR33j7yNssaL7P7Vo0aqUOa9erB0aNQuLDdQwphOk/YjlIPyKLregEg\n3hIbmqalQK2U3AMq6rreT9f1vkAl1DeEBfF9NtYY/YDJQJBHJfO5c9VycpEiiV+bkDfegOXL4+2s\n0+PVHnx942sO/nDQvvtECwqCBQsgJEQtwAshXILk7OQia1Z12n3DhjjfHl5lOB9/9TFf3/jakNt1\n7gxDhqjc/csvhgwphKncfhKu6/puXdeT0ri8DpALWKHr+sVYn/8GtYJSWtO0xHoTzwLSAYc1Tfsz\n+tddTdNs3KORDNy9qybhb71l/1gvvQSBgfEm9FQ+qRj92mhGHBhBlEF1Blu1ggkT1M8QP/5oyJBC\nCDtIzk5m2rdXzRjikDVNVvqU7cPYQ2MNu92QIdC6tcrZt5LyX4kQLswTtqMkVdXor88XPlWvvQ5U\nIYGT87quu/0PNc+ZOVPVkDJqk17Xrqp3cadOcb9dqivTTkxj27fbCHkpxJBb9uwJN2+q1ZVjx9Ti\njhDC5UnOdgVNmqgkevVqnGeChlYeSsE5Bfn82ueUymHM94l334UbN6BhQ1XGME0aQ4YVwukkAf2n\nUPTX7+N47/tnrhGgsuCsWTBxonFjtmgBERHw3Xdxvu3r7cuEGhMYeWAkT6KeGHbbkSOhfn11WPPO\nHcOGFUI4juRsV5A2rdrTt2pVnG9nSJWBoZWGMurgKMNuabGorYTZs6tvGQ/jPLIrhOuTSfh/0kV/\nvRvHezGvxXtAyCO9+646LVOihHFj+vmpZ40ffhjvJW1KtAFg9QXjagxaLGpRv3hxaNwY/vnHsKGF\nEI4hOdtVJLAlBaBvub6cvXaWYz8dM+yWPj6qMMuDB2qv+BPj1mSEcBrZjuJiwsLC8PJ6+mejwMBA\nAgMT29roZJcvq4oo584ZP3bXrtC8ueqgGUfpLy+LF+/UfIeBuwfSsnhLfL19DbmtlxcsWwZNm0Lb\ntrBunUr0QsQlIiLiufrQT2Qm4HGSTc52pLp11Uw4nhKzaVKkYVTVUby1/y2OdD5iWOndVKlg0yao\nWVM1Xp4zRy2oCBEXV8zZMsX4T8zKSbo43ot5zeEbFZJNzdmhQ0HTVMMGo5UrB+nTq/aW9erFeUnD\nIg2ZcnwKi84uolfZXobd2tcX1q5V+8PfeAMWL5akLuIW10QrMjJS6oQ7j+RsV+Hrq065h4fDpElx\nXvJ6mdeZcXIG2y9up2GRhobdOl061VWzalV4+20YM8awoYWbccWcLdtR/hOzCTmuPYQFn7nGYZJF\n97VDh+DIERhtfwfLOFksajV8yZIELrEwpfYUJhyewJ8P/jT09n5+qpnPZ5/B8OGGDi3cmCt0X/Mw\nkrNdSYcOahIez8piCu8UvFPzHYbvG07kk0hDb50li1qzWbQI5s83dGjhxlwhZ8sk/D9Hor/WiuO9\n2tFfjzo6iNDQUNd+jBkZqZ77TZqkVqsdpUMHtbxx40a8l1TOU5kKuSsw8+RMw2+fIQPs2gXr18PU\nqYYPL9xQYGAgoaGhZ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1v98Rv3bhC4IJCZdWfS6uVWDggwaSZOVCXcjx1T36eE64uIiODs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Nm8bMWN1RJxobG3nppZe44YYbEjS6viXLVFS2r3GfDMY1zOOBoL6JbHO22kOR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\nI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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "# Find the b/a values corresponding to maximum / large values of P_3\n", "def calculate_P3_over_boa(boas, q):\n", " P3s = []\n", " for boa in boas:\n", " s = qca.QcaBond()\n", " s.T = 1\n", " s.t = 1\n", " s.q = q\n", " s.l = qca.Wire(3,40,boa,1)\n", " s.init()\n", " s.run()\n", " P3s.append(s.results['P'][2])\n", " m = np.column_stack((boas,np.array(P3s)))\n", " return m\n", "\n", "m1 = calculate_P3_over_boa(np.linspace(1.8,2.2,100),0)\n", "m1_max = m1[ m1[:,1].argmax() ]\n", "print('q = 0, boa_max = {}, P_3max = {}'.format(m1_max[0], m1_max[1]))\n", "\n", "m2 = calculate_P3_over_boa(np.linspace(0.2,1.5,100),0.5)\n", "m2_ = m2[ m2[:,1]>0.9 ]\n", "print('q = 1/2, P_3 > 0.9 in the range boa = {} ... {}'.format(m2_[0,0],m2_[-1,0]))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "q = 0, boa_max = 1.92121212121, P_3max = 0.0551161973124\n", "q = 1/2, P_3 > 0.9 in the range boa = 0.331313131313 ... 1.26363636364" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Workable parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "e1 = coma.Experiment('../experiments/experiment.000046/')\n", "rs1 = e1.retrieve_results(\n", " (\n", " ('V1', 'parameters/V1'),\n", " ('P_D', 'results/P_D'),\n", " ('P_D_2', 'parameters/model/parameters/layout/P'),\n", " ('P', 'parameters/model/results/P')\n", " ),\n", " (\n", " ('model', 'parameters/type'),\n", " ('boa', 'parameters/boa')\n", " ))\n", "e2 = coma.Experiment('../experiments/experiment.000047/')\n", "rs2 = e2.retrieve_results(\n", " (\n", " ('N', 'parameters/N'),\n", " ('V1_crit','results/V1_crit'),\n", " ),\n", " (\n", " ('model','parameters/model_type'),\n", " ('boa','parameters/boa'),\n", " )\n", ")\n", "#rs1,rs2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# Error of Ising versus bond at boa = 1.2\n", "rs2['boa',1.2][1].table[:,1] - rs2['boa',1.2][0].table[0:5,1]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "array([ 2.77491474, 1.85757179, 0.797192 , -0.24793053, -1.25681705])" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "# Error of Ising versus bond at boa = 2.0\n", "rs2['boa',2.0][1].table[:,1] - rs2['boa',2.0][0].table[0:5,1]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "array([ 0.89064274, 0.41003895, -0.02860737, -0.46153221, -0.89445705])" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "def plotSelfConsistentPOverV1(p, r):\n", " d = r.table\n", " d = d[ d[:,0].argsort() ] # Sort by first column\n", " p.plot(d[:,0],d[:,1],label='$P_D$')\n", " for i in range(3):\n", " p.plot(d[:,0],d[:,3+i],label='$P_{}$'.format(i+1))\n", " p.legend(loc='lower right',\n", " labelspacing=0.3,\n", " handletextpad=0.3)\n", " p.set_xlabel('$V_1$')\n", " p.set_ylabel('polarization')\n", " #p.set_xlim((0,60))\n", " p.set_xlim((0,250))\n", "\n", "def plotV1critOverN(p,rs):\n", " d1 = rs['model','QcaIsing'][0].table\n", " d2 = rs['model','QcaBond'][0].table\n", " p.plot(d1[:,0],d1[:,1],'+-',label='Ising')\n", " p.plot(d2[:,0],d2[:,1],'+', color='red', markersize=8,label='Bond')\n", " p.set_xlabel('number of active cells')\n", " p.set_ylabel('$V_{1crit}$')\n", " p.set_xlim((0,13))\n", " #p.set_ylim((0,50))\n", " #p.set_ylim((50,200))\n", " p.legend(loc='lower right')\n", " \n", "def createMeanFieldFigure():\n", " rows = 1\n", " cols = 2\n", " fig,ps = plt.subplots(rows,cols,figsize=(cols*2.5,rows*2.5))\n", " \n", " boa = 2.0\n", " #boa = 1.2\n", " \n", " p = ps[0]\n", " r = rs1['model','QcaBond']['boa',boa][0]\n", " plotSelfConsistentPOverV1(p, r)\n", " text(p,'(a)',loc='upper left')\n", " \n", " p = ps[1]\n", " plotV1critOverN(p,rs2['boa',boa])\n", " text(p,'(b)',loc='upper left')\n", "\n", " fig.tight_layout()\n", " plt.close()\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "f = createMeanFieldFigure()\n", "if savefig:\n", " f.savefig('../plots/chapter03/critical_V1.pdf')\n", "display(f)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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riUNZGzi8AIQDN2qtN3m2ZQFPKqU6AqOUUq9rrUutPSt1Z0V5TVg/h3RbTaI/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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "r = rs1['boa',2.0]['model','QcaBond'][0]\n", "d = r.table\n", "P_sc = d[ d[:,0] == 200 ][0][1]\n", "print('Self-consistent polarization at V1 = 200: P_D = {:.2f}'.format(P_sc))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Self-consistent polarization at V1 = 200: P_D = 0.97\n" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "d1 = rs2['model','QcaBond']['boa',1.2][0].table\n", "d2 = rs2['model','QcaIsing']['boa',1.2][0].table\n", "print('Some critical V1 for boa = 1.2')\n", "print(' 1 active cell: V_1crit_bond = {:.2f}, V_1crit_ising = {:.2f}'.format(d1[0,1],d2[0,1]))\n", "print(' 5 active cells: V_1crit_bond = {:.2f}, V_1crit_ising = {:.2f}'.format(d1[4,1],d2[4,1]))\n", "print('12 active cells: V_1crit_bond = n.a. V_1crit_ising = {:.2f}'.format(d2[11,1]))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Some critical V1 for boa = 1.2\n", " 1 active cell: V_1crit_bond = 19.02, V_1crit_ising = 16.24\n", " 5 active cells: V_1crit_bond = 30.07, V_1crit_ising = 31.33\n", "12 active cells: V_1crit_bond = n.a. V_1crit_ising = 45.20\n" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "# A couple of V1_crit values for different T, boa, for referencing in the thesis\n", "\n", "e = coma.Experiment('../experiments/experiment.000050/')\n", "rs = e.retrieve_results(\n", " (\n", " ('T', 'parameters/T'),\n", " ('boa','parameters/boa'),\n", " ('V1_crit','results/V1_crit'),\n", " ))\n", "r = rs[0]\n", "print(r.table_columns)\n", "print(r.table)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "('T', 'boa', 'V1_crit')\n", "[[ 1. 1.2 14.71359739]\n", " [ 1. 1.5 24.1082572 ]\n", " [ 1. 2. 55.09766588]\n", " [ 1. 2.5 117.72682409]\n", " [ 1. 3. 230.23960428]\n", " [ 1. 3.5 416.87026186]\n", " [ 1. 4. 708.92288656]\n", " [ 2. 1.2 25.99443636]\n", " [ 2. 1.5 44.41186018]\n", " [ 2. 2. 107.89733229]\n", " [ 2. 2.5 234.29422197]\n", " [ 2. 3. 459.87285814]\n", " [ 2. 3.5 833.4011754 ]]\n" ] } ], "prompt_number": 19 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Cell polarization along the wire" ] }, { "cell_type": "code", "collapsed": false, "input": [ "e = coma.Experiment('../experiments/experiment.000049/')\n", "rs = e.retrieve_results(\n", " (\n", " ('P','results/P'),\n", " ),\n", " (\n", " ('model','parameters/model'),\n", " ('T','parameters/T'),\n", " ('N','parameters/layout/N'),\n", " ('V1','parameters/layout/V1'),\n", " ('boa','parameters/layout/boa'),\n", " ('PD','parameters/layout/P'),\n", " )\n", ")\n", "#rs" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "# adapted from notebook 7\n", "\n", "\n", "# fitting\n", "from scipy.optimize import curve_fit\n", "\n", "f = lambda x,a,b: a*b**x\n", "\n", "def fit_to_exponential(d):\n", " xs = np.arange(1,len(d)+1,1)\n", " #xs = np.arange(0,len(d),1) # alternate definition of \\chi_e and \\chi\n", " ys = d\n", " ps,cov = curve_fit(f, xs, ys)\n", " es = np.sqrt(cov.diagonal())\n", " return np.concatenate((ps,es))\n", "\n", "def fit_rs(rs,printit=False):\n", " rows = []\n", " for r in rs:\n", " if r.parameters.N < 3:\n", " continue\n", " ps = fit_to_exponential(r.table[0])\n", " rows.append(np.concatenate((np.array([r.parameters.N]), ps)))\n", " d = np.vstack(rows)\n", " \n", " n = len(d[:,1])\n", " \n", " a_min = min(d[:,1])\n", " a_max = max(d[:,1])\n", " a_avg = sum(d[:,1])/n\n", " e_a_avg = sum(d[:,3])/n\n", " \n", " b_min = min(d[:,2])\n", " b_max = max(d[:,2])\n", " b_avg = sum(d[:,2])/n\n", " e_b_avg = sum(d[:,4])/n\n", " \n", " if printit:\n", " print('Fitting to f(x) = a b^x')\n", " print('-----------------------')\n", " print('Parameters: ' + str(r.parameters))\n", " print('Average a: {:.8g}'.format(a_avg))\n", " print('Average error for a: {:.8g}'.format(e_a_avg))\n", " print('Average b: {:.8g}'.format(b_avg))\n", " print('Average error for b: {:.8g}'.format(e_b_avg))\n", " print('\\n')\n", " \n", " return d,((a_min,a_max,a_avg,e_a_avg),(b_min,b_max,b_avg,e_b_avg))\n", "\n", "def compute_chis(rs):\n", " chis = []\n", " for r in rs:\n", " if r.parameters.N < 2:\n", " continue\n", " d = np.concatenate(([1.0],r.table[0]))\n", " chis_ = [d[i+1]/d[i] for i in range(len(d)-1)]\n", " chis.append([r.parameters.N] + chis_)\n", " return chis\n", "\n", "# plots\n", "def plot_P_for_different_wires(p,rs):\n", " params = [\n", " # V1,boa\n", " (200,1.2),\n", " (200,2.0,)\n", " ]\n", " cs = ['b','g','r','c','m','y'] # 'k'\n", " Ns = [12,10,8,6,4,2]\n", " for V1,boa in params:\n", " for N,c in zip(Ns,cs):\n", " r = rs['V1',V1]['boa',boa]['N',N][0]\n", " d = r.table\n", " params = r.parameters\n", " p.plot(range(1,params.N+1),d[0],'-',\n", " label='{}-cell wire'.format(params.N),color=c)\n", " p.set_xlim((0,13))\n", " p.set_ylim((0,1.05))\n", " p.set_xlabel('cell number')\n", " p.set_ylabel('polarization')\n", " text(p,'(a)',loc='lower left')\n", " p.text(8.5,0.9,'$d/a = 2.2$')\n", " p.text(8.5,0.4,'$d/a = 3.0$')\n", " #p.legend(loc='upper left', bbox_to_anchor=(1,1))\n", "\n", "def plot_fit_parameters_over_N(p,rs):\n", " params = [\n", " # V1,boa\n", " (200,1.2),\n", " (200,2.0)\n", " ]\n", " for V1,boa in params:\n", " d,v = fit_rs(rs['V1',V1]['boa',boa])\n", " p.plot(d[:,0],d[:,1],'-',label='$\\\\chi_e(d/a={})$'.format(boa+1))\n", " p.plot(d[:,0],d[:,2],'-',label='$\\\\chi(d/a={})$'.format(boa+1))\n", " p.set_xlim((2,13))\n", " p.set_ylim((0.7,1.01))\n", " p.set_xlabel('number of cells in wire')\n", " p.set_ylabel('fit parameters')\n", " text(p,'(b)',loc='lower left')\n", " p.legend(loc='lower right', \n", " labelspacing=0.3,\n", " handletextpad=0.3)\n", "\n", "def polarization_of_wires_figure(P_D=1.0):\n", " n_r,n_c = 1,2\n", " fig,ps = plt.subplots(n_r,n_c,figsize=(2.5*n_c,2.5*n_r))\n", " plot_P_for_different_wires(ps[0],rs['V1',200]['PD',P_D])\n", " plot_fit_parameters_over_N(ps[1],rs['V1',200]['PD',P_D])\n", " fig.tight_layout()\n", " plt.close()\n", " return fig\n", "\n", "def polarization_response_figure(P_D=1.0):\n", " fig,ps = plt.subplots(1,2,figsize=(5,2.5))\n", " boas = [2.0,3.0]\n", " for p,boa in zip(ps,boas):\n", " chis = compute_chis(rs['V1',200]['boa',boa]['PD',P_D])\n", " for chis_ in chis:\n", " p.plot(np.arange(1,len(chis_[1:])+1,1),chis_[1:])\n", " p.set_xlabel('cell number')\n", " p.set_ylabel('$P_i / P_{i-1}$')\n", " p.set_xlim((0,13))\n", " #p.set_ylim((0,1))\n", " text(p,'$d/a = {}$'.format(boa+1),loc='lower right')\n", " fig.tight_layout()\n", " plt.close()\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "f_ = polarization_of_wires_figure()\n", "if savefig:\n", " f_.savefig('../plots/chapter03/wire_polarization_old__.pdf')\n", "display(f_)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AzfxslFJKKUuD8UKsYkX48ktY9vyrfF+3Ebur/UqlSu+x5rcjrLhLpzxUqojY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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "def number_of_cells(P,a,b):\n", " return math.log(P/a)/math.log(b)\n", "\n", "def print_wire_polarization_estimates(P_D=1.0):\n", " boas = [1.2,2.0]\n", " V1 = 200\n", " for boa in boas:\n", " d,((_,_,a,_),(_,_,b,_)) = fit_rs(rs['V1',V1]['boa',boa]['PD',P_D],printit=True)\n", " print('b/a = {}'.format(boa))\n", " print('Number of cells before polarization drops below 0.9: {:.2f}'\n", " .format(number_of_cells(0.9,a,b)))\n", " print('Number of cells before polarization drops below 0.1: {:.2f}'\n", " .format(number_of_cells(0.1,a,b)))\n", " print('\\n\\n')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "print_wire_polarization_estimates(P_D=1.0)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Fitting to f(x) = a b^x\n", "-----------------------\n", "Parameters: (model=QcaIsing,T=2.0,N=12,V1=200,boa=1.2,PD=1.0)\n", "Average a: 0.99911477\n", "Average error for a: 5.11369e-07\n", "Average b: 0.99999702\n", "Average error for b: 1.4143317e-07\n", "\n", "\n", "b/a = 1.2\n", "Number of cells before polarization drops below 0.9: 35040.81\n", "Number of cells before polarization drops below 0.1: 771988.54\n", "\n", "\n", "\n", "Fitting to f(x) = a b^x\n", "-----------------------\n", "Parameters: (model=QcaIsing,T=2.0,N=12,V1=200,boa=2.0,PD=1.0)\n", "Average a: 0.97367401\n", "Average error for a: 0.0022100875\n", "Average b: 0.88404441\n", "Average error for b: 0.00069302451\n", "\n", "\n", "b/a = 2.0\n", "Number of cells before polarization drops below 0.9: 0.64\n", "Number of cells before polarization drops below 0.1: 18.47\n", "\n", "\n", "\n" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "polarization_response_figure()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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QtVRND+/w8H44HJ3Iy/tESbwJEyawfv16Dh06pCSewi57mEwmUgamsGCbmrpy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\nubmUKuroIoQQrVVOVRVzdu3ipR49cF1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RBZJCiJNzVJ+tta4BpgN+wFql1KtKqdkY+11D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"prompt_number": 25, "text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a new graph and goes slightly beyond the analysis in notebook 7. I don't think I want to inlcude it in the thesis, but it is still a nice plot: it shows how the polarization response really looks like inside the wire. The response is constant over the majority of cells, but falls off over the last two cells. It's also clearly visible that the response of the first cell---to the driver cell---is very different. At larger distances $d/a = 4$, the behaviour is qualitatively different (note that here the actual polarizations are almost zero).\n", "\n", "It is clear that the right most cells' response falls off. An argment why the response grows for the first couple of cells: Maybe the cells to the left still see the driver cell and hence have a slightly higher polarization --- this would make the response with respect to them smaller.\n", "\n", "Maybe the most significant finding of this graph is that the polarization response falls off towards both edges (left and right; but less to the left). I should definitely mention that in the thesis." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Just to check: two graphs for different input polarizations\n", "#polarization_of_wires_figure(P_D=0.5)\n", "polarization_of_wires_figure(P_D=0.1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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JY2Ehe3bpwn5FRRzWo0fwPun8nl260LOgQCPEIhFr62D8QKAygnaGhscVac6t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"prompt_number": 26, "text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "#polarization_response_figure(P_D=0.5)\n", "polarization_response_figure(P_D=0.1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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zO5usXXVexxAREZHD4ITD/Pmpf/DTmjqaU9M4ddNzfOrjH+Oizz5IwB8gHIZt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\nbrnsssuijiAiIklSzU4fdbaz2K7SEgYWatlfERERkVylByS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"prompt_number": 27, "text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bottom line of the above two graphs is that the our simple physical model actually works very well. When changing $P_D$, it is only $\\chi_e$ that changes. $\\chi$ remains virtually unchanged. For small $P_D$, $\\chi_e$ seems to drop off faster with the number of cells per wire, for $d/a = 2.2$. Due to the gain in the response to the driver cell, even an input polarization of only $P_D = 0.5$ still yields very good results, especially at $d/a = 2.2$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "e1 = coma.Experiment('../experiments/experiment.000051/')\n", "rs1 = e1.retrieve_results(\n", " (\n", " ('boa','parameters/layout/boa'),\n", " ('P','results/P'),\n", " ),\n", " (\n", " ('model','parameters/model'),\n", " ('T','parameters/T'),\n", " ('N','parameters/layout/N'),\n", " ('V1','parameters/layout/V1'),\n", " ('PD','parameters/layout/P'),\n", " )\n", ")\n", "e2 = coma.Experiment('../experiments/experiment.000052/')\n", "rs2 = e2.retrieve_results(\n", " (\n", " ('N','parameters/model/parameters/layout/N'),\n", " ('boa','results/boa'),\n", " ),\n", " (\n", " ('T','parameters/model/parameters/T'),\n", " ('V1','parameters/model/parameters/layout/V1'),\n", " ('PD','parameters/model/parameters/layout/P')\n", " )\n", ")\n", "\n", "#rs1,rs2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_output_polarization_over_cell_cell_distance(p,rs):\n", " Ns = [2,4,6,8,10,12]\n", " for N in Ns:\n", " r = rs['N',N][0]\n", " d = r.table\n", " p.plot(d[:,0]+1,d[:,-1],label='{} cells'.format(r.parameters.N))\n", " p.set_ylim((0,1.02))\n", " p.set_ylabel('output polarization')\n", " p.set_xlabel('$d/a$')\n", " p.legend(loc='upper right',\n", " labelspacing=0.3,\n", " handletextpad=0.3)\n", " \n", "def plot_threshold_boa(p,rs):\n", " for r in rs:\n", " d = r.table\n", " p.plot(d[:,0],d[:,1]+1,label='$V_1 = {}$'.format(r.parameters.V1))\n", " p.set_ylim((2.0,3.4))\n", " p.set_xlim((0,13))\n", " p.set_xlabel('number of cells in wire')\n", " p.set_ylabel('$d_{th}/a$')\n", " p.legend(loc='upper right',\n", " labelspacing=0.3,\n", " handletextpad=0.3)\n", "\n", "def polarization_cell_cell_distance_figure(P_D=1.0):\n", " fig,ps = plt.subplots(1,2,figsize=(5,2.5))\n", " \n", " p = ps[0]\n", " plot_output_polarization_over_cell_cell_distance(p,rs1['V1',200]['T',2.0]['PD',P_D])\n", " text(p,'(a)',loc='lower left')\n", " \n", " p = ps[1]\n", " plot_threshold_boa(p,rs2['PD',P_D])\n", " text(p,'(b)',loc='lower left')\n", " \n", " fig.tight_layout()\n", " plt.close()\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "f = polarization_cell_cell_distance_figure()\n", "if savefig:\n", " f.savefig('../plots/chapter03/cell_cell_distance_threshold_old__.pdf')\n", "display(f)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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xWOjQoQMxMTEMGjSoVrFbrVa2bdvGrl27SEtLw2q14uvrS7du3Zg0aRJ33HFH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XAAAg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\nVXd4P++bgL7U7o6kaHxvNcalu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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "# Check how it changes for small polarizations\n", "polarization_cell_cell_distance_figure(P_D=0.1)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/Users/burkhard/anaconda/lib/python2.7/site-packages/matplotlib/axes.py:4747: UserWarning: No labeled objects found. Use label='...' kwarg on individual plots.\n", " warnings.warn(\"No labeled objects found. \"\n" ] }, { "metadata": {}, "output_type": "pyout", "png": 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RQgghhGjVTC2uq7VeqpRaA0yl/KE/acAarXXtx+/VbbxPME7SrKnNMar5pUNr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"prompt_number": 31, "text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even though here the region where we have perfect output polarization is much smaller (and at unphysical small cell-cell distances), it remains true that over a broad range $d/a \\sim 1 \\ldots 2.5$ the output polarization is the same independent of the number of cells in the wire. And this is the same range as for $P_D = 1.0$ above. This is consistent with the graph at $P_D = 0.1$ above (cell polarization along wire, and also polarization response along wire), where we had seen that $\\chi$ is independent of $P_D$. Because $\\chi \\sim 1$ for the chosen parameters at small cell-cell distances, the output polarization for all wires here is virtually the same. In the region $d/a > 2.5$ we have $\\chi < 1$ and that's why the polarization drops rapidly to zero, and more rapidly for longer wires." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "The Silicon system" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# adapted from notebook 5a\n", "\n", "import scipy.optimize\n", "from scipy.constants import Boltzmann,elementary_charge\n", "\n", "def fit(f, xs, ys):\n", " ps,cov = scipy.optimize.curve_fit(f,xs,ys)\n", " es = np.sqrt(cov.diagonal())\n", " labels = ['a','b','c','d','e','f','g']\n", " print('Fit results: ')\n", " for l,p,e in zip(labels, ps, es):\n", " print(' {} = {:.4g} +- {:4g}'.format(l,p,e))\n", " return (lambda x: f(x,*ps),) + tuple(ps)\n", "\n", "def plot_silicon():\n", " # data from Pitters et al. The Journal of Chemical Physics, \n", " # 134, 064712 (2011), DOI:10.1063/1.3514896\n", " # Columns: distance in Angstrom, t_ij in eV, V_ij in eV\n", " table1 = [[3.84,0.1538,0.3208],\n", " [7.68,0.0439,0.1754],\n", " [9.93,0.0303,0.1275],\n", " [10.86,0.0254,0.1133],\n", " [11.52,0.0223,0.1046],\n", " [11.74,0.0213,0.1019],\n", " [12.55,0.0179,0.0927]]\n", " \n", " # fit\n", " d = np.array(table1)\n", " xs = np.linspace(1,30,50)\n", " d_ = d[ d[:,0]>8 ]\n", " f_t,a_t,b_t = fit(lambda x,a,b: a*np.exp(b*x), d_[:,0],d_[:,1])\n", " d_ = d\n", " f_V,b_V = fit(lambda x,b: b/x, d_[:,0],d_[:,2])\n", " \n", " # plot\n", " fig,ps = plt.subplots(1,3,figsize=(7.5,2.5))\n", "\n", " p = ps[0]\n", " p.plot(d[:,0],d[:,1],'o-',label='data')\n", " p.plot(xs,f_t(xs),\n", " label='$f_t \\sim {:.2f} e^{{ {:.2f} r}}$'.format(a_t,b_t))\n", " p.set_yscale('log')\n", " p.set_xlabel('distance $(\\AA)$')\n", " p.set_ylabel('$t_{ij} (\\mathrm{eV})$')\n", " p.legend(loc='upper right')\n", " \n", " p = ps[1]\n", " p.plot(d[:,0],d[:,2],'o-',label='data')\n", " p.plot(xs,f_V(xs),\n", " label='$f_V \\sim {:.2f} r^{{-1}}$'.format(b_V))\n", " p.set_xlabel('distance $(\\AA)$')\n", " p.set_ylabel('$V_{ij} (\\mathrm{eV})$')\n", " p.legend(loc='upper right')\n", " \n", " p = ps[2]\n", " p.plot(xs,f_V(xs)/f_t(xs),\n", " label='$f_V/f_t$')\n", " p.set_xlabel('distance $(\\AA)$')\n", " p.set_ylabel('$V_{ij}/t_{ij}$')\n", " p.legend(loc='upper right')\n", " \n", " fig.tight_layout()\n", " plt.close()\n", " return fig,f_t,f_V\n", "\n", "def print_silicon_values(f_t,f_V,x=32,T=1):\n", " T_over_t = T\n", " T_in_Kelvin = T_over_t * f_t(x) * elementary_charge / Boltzmann\n", " print('x = {}\\nT/t = {:.2f}\\nV1/t = {:.2f} \\nT = {:.2f} K\\n'\n", " 't = {:.2f} meV\\nV1 = {:.2f} meV\\n'\n", " .format(x,T_over_t,f_V(x)/f_t(x), T_in_Kelvin,f_t(x)*1000.0,f_V(x)*1000.0))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "fig,f_t,f_V = plot_silicon()\n", "display(fig)\n", "#print_silicon_values(f_t,f_V,36,1)\n", "print_silicon_values(f_t,f_V,32,1)\n", "print_silicon_values(f_t,f_V,22,0.1)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Fit results: \n", " a = 0.2177 +- 0.00810395\n", " b = -0.1982 +- 0.0033719\n", "Fit results: \n", " a = 1.243 +- 0.0188579\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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XF8fIkSN54403aNy4Mbfddptfzrtx40bGjx8f0Gt6s2oVnHceHDpUb5cAlFgJCVoVyLvI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\nZotIClJmt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"text": [ "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "x = 32\n", "T/t = 1.00\n", "V1/t = 101.45 \n", "T = 4.44 K\n", "t = 0.38 meV\n", "V1 = 38.85 meV\n", "\n", "x = 22\n", "T/t = 0.10\n", "V1/t = 20.33 \n", "T = 3.23 K\n", "t = 2.78 meV\n", "V1 = 56.50 meV\n", "\n" ] } ], "prompt_number": 23 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Majority gate" ] }, { "cell_type": "code", "collapsed": false, "input": [ "e = coma.Experiment('../experiments/experiment.000040/')\n", "rs = e.retrieve_results(\n", " (\n", " ('I1','parameters/layout/I1'),\n", " ('I3','parameters/layout/I3'),\n", " ('P','results/P'),\n", " ),\n", " (\n", " ('T','parameters/T'),\n", " ('N_lead','parameters/layout/N_lead'),\n", " ('V1','parameters/layout/V1'),\n", " ('doa','parameters/layout/doa'),\n", " ('I2','parameters/layout/I2'),\n", " )\n", ")\n", "#rs" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "def create_majority_gate_plot(rs):\n", " n_r,n_c = 2,2\n", " fig,ps = plt.subplots(n_r,n_c,figsize=(5,4.1),sharex=True,sharey=True)\n", " \n", " V = np.arange(-1.0,1.01,0.1)\n", " doas = [3.0,2.2]\n", " Is = [-1,1]\n", " col = lambda d,c: d[:,c].reshape(30,30)\n", " ls = ['(a)','(b)','(c)','(d)']\n", " ls.reverse()\n", " cs = []\n", " \n", " for doa,ps_ in zip(doas,ps):\n", " for I,p in zip(Is,ps_):\n", " d = rs['I2',I]['doa',doa][0].table[:900]\n", " cs1 = p.contourf(col(d,0), col(d,1), col(d,10),V)\n", " cs2 = p.contour(col(d,0), col(d,1), col(d,10),[0.0],\n", " colors='black',linewidths=2)\n", " cs.append((cs1,cs2))\n", " p.grid(True, color='#666666')\n", " text(p, '$d/a = {}$'.format(doa), loc='lower right')\n", " text(p, ls.pop(), loc='lower left')\n", " ps[0,0].set_title('$I_1$ AND $I_3$')\n", " ps[0,1].set_title('$I_1$ OR $I_3$')\n", " ps[0,0].set_ylabel('$I_3$')\n", " ps[1,0].set_ylabel('$I_3$')\n", " ps[1,0].set_xlabel('$I_1$')\n", " ps[1,1].set_xlabel('$I_1$')\n", "\n", " fig.tight_layout()\n", " \n", " for cs_,ps_ in zip(cs,ps):\n", " cbar = fig.colorbar(cs_[0],ax=ps_.tolist(),ticks=[-1,-0.5,0,0.5,1])\n", " cbar.add_lines(cs_[1])\n", " plt.close()\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = create_majority_gate_plot(rs)\n", "# if savefig:\n", "# fig.savefig('../plots/chapter03/majority_gate_contour.pdf')\n", "display(fig)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WdhV2Mrq6h+urIuSbDyTdvwSTGK1Ts5FYrfW3gRHZf0eQOam/0lqnyfxku7JdOol9yfzK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20vykmIkzDAMHmcmWwbmG+fKZisdcx53PAp0UDue++dh9YuMZa+RjNsWDP19YX4a6glkX5qZuQP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\nBIOJ07J57J40hSmjsVIsxwaxSqkH0rj5bq31P2etM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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This was my original majority gate contour plot, as in notebook 8. It then occured to me that it is more meaningful to plot not against the driver cell polarizations, but the cells right next to it. The cells are numbered:\n", "\n", "```\n", " 3\n", " 2\n", " 5 4 1 8 9\n", " 6\n", " 7\n", "```\n", "\n", "Therefore, let's plot $P_9 \\doteq O$ against $P_3 \\doteq I_1^{\\prime}$ and $P_7 \\doteq I_3^{\\prime}$; we leave I_2 fixed. This new graph is below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# r = rs['doa',3.0]['I2',-1][0]\n", "# r.table[:900,(0,1,4,6,8,10)][:10]\n", "# r.table[:900,(4,8,10)][:10]\n", "#\n", "# cells are numbered:\n", "# 3\n", "# 2\n", "# 5 4 1 8 9\n", "# 6\n", "# 7" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "e = coma.Experiment('../experiments/experiment.000054/')\n", "rs = e.retrieve_results(\n", " (\n", " ('I1','parameters/layout/I1'),\n", " ('I3','parameters/layout/I3'),\n", " ('P','results/P'),\n", " ),\n", " (\n", " ('T','parameters/T'),\n", " ('N_lead','parameters/layout/N_lead'),\n", " ('V1','parameters/layout/V1'),\n", " ('doa','parameters/layout/doa'),\n", " ('I2','parameters/layout/I2'),\n", " )\n", ")\n", "#rs" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "def create_majority_gate_plot_prime(rs):\n", " n_r,n_c = 2,2\n", " fig,ps = plt.subplots(n_r,n_c,figsize=(5,4.1),sharex=True,sharey=True)\n", " \n", " V = np.arange(-1.0,1.01,0.1)\n", " doas = [2.2,2.6]\n", " Is = [-1,1]\n", " col = lambda d,c: d[:,c].reshape(30,30)\n", " ls = ['(a)','(b)','(c)','(d)']\n", " ls.reverse()\n", " cs = []\n", " \n", " for doa,ps_ in zip(doas,ps):\n", " for I,p in zip(Is,ps_):\n", " d = rs['I2',I]['doa',doa][0].table[:900]\n", " cs1 = p.contourf(col(d,4), col(d,8), col(d,10),V)\n", " cs2 = p.contour(col(d,4), col(d,8), col(d,10),[0.0],\n", " colors='black',linewidths=2)\n", " cs.append((cs1,cs2))\n", " p.grid(True, color='#666666')\n", " text(p, '$d/a = {}$'.format(doa), loc='lower right')\n", " text(p, ls.pop(), loc='lower left')\n", " ps[0,0].set_title('$I_1$ AND $I_3$')\n", " ps[0,1].set_title('$I_1$ OR $I_3$')\n", " ps[0,0].set_ylabel('$I_3^{\\prime}$')\n", " ps[1,0].set_ylabel('$I_3^{\\prime}$')\n", " ps[1,0].set_xlabel('$I_1^{\\prime}$')\n", " ps[1,1].set_xlabel('$I_1^{\\prime}$')\n", "\n", " fig.tight_layout()\n", " \n", " for cs_,ps_ in zip(cs,ps):\n", " cbar = fig.colorbar(cs_[0],ax=ps_.tolist(),ticks=[-1,-0.5,0,0.5,1])\n", " cbar.add_lines(cs_[1])\n", " plt.close()\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = create_majority_gate_plot_prime(rs)\n", "if savefig:\n", " fig.savefig('../plots/chapter03/majority_gate_contour.pdf')\n", "display(fig)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AgpEx11p2UWYkoBUFY4kQm9Dk1HCDBGstsVis/G6skIFIxNL0nlhpnSYVznF9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NPQIQhj/cIxIbLJyA9Qc+Ucaq6cwyX/8GG6TrTx1i9e440HXwyF22HsPs0L39vFH360hw+sWcJ7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\noLHxCmbMOEhx8ciTS4czeXIzU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"text": [ "" ] } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Why is the ouput polarization asymmetric for larger d/a? I guess it is because the polarization from cell to cell decays so fast so that the diagonal interactions become more important. E.g. if $P_2 \\sim 1$ and $P_6 \\sim 1$, then they will tend to set $P_8 \\sim -1$ via their diagonal interaction. If then polarizations decay fast, so that e.g. $|P_1| < |P_2|$ and additionally, as an exmaple, $I_2 = -1$, then this will shift the point at which the output polarization switches from positive to negative." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "More on cell polarizations / workable parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "e1 = coma.Experiment('../experiments/experiment.000057/')\n", "rs1 = e1.retrieve_results(\n", " (\n", " ('V1','parameters/layout/V1'),\n", " ('P','results/P'),\n", " ),\n", " (\n", " ('model','parameters/model'),\n", " ('T','parameters/T'),\n", " ('N','parameters/layout/N'),\n", " ('boa','parameters/layout/boa'),\n", " ('PD','parameters/layout/P'),\n", " )\n", ")\n", "e2 = coma.Experiment('../experiments/experiment.000058/')\n", "rs2 = e2.retrieve_results(\n", " (\n", " ('boa','parameters/layout/boa'),\n", " ('P','results/P'),\n", " ),\n", " (\n", " ('model','parameters/model'),\n", " ('T','parameters/T'),\n", " ('N','parameters/layout/N'),\n", " ('V1','parameters/layout/V1'),\n", " ('PD','parameters/layout/P'),\n", " )\n", ")\n", "#rs1,rs2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "def compute_chis(d):\n", " return np.column_stack([d[:,0]] + [d[:,i+2] / d[:,i+1] for i in range(d.shape[1]-2)])\n", "\n", "def plot_chis_over_V1(p,rs):\n", " models = ['QcaIsing','QcaBond','QcaFixedCharge']\n", " ls = {'QcaIsing': 'Ising','QcaBond':'Bond','QcaFixedCharge':'Fixed'}\n", " cs = [[4],[1],[0]]\n", " # Ts = [0.1,0.01]\n", " # T = 0.01 actually gives a slightly higher minimum V_1 than T = 0.1\n", " Ts = [2.0,1.0,0.1] \n", " boa = 1.2\n", " for T in Ts:\n", " cols = ['b','g','r']\n", " for m,c,col in zip(models,cs,cols):\n", " chis = compute_chis(rs['T',T]['model',m]['boa',boa][0].table)\n", " chis = chis[ chis[:,0].argsort()]\n", " for c_ in c:\n", " p.plot(chis[:,0],chis[:,1+c_],color=col,label=ls[m])\n", " p.set_xlabel('$V_1$')\n", " p.set_ylabel('$\\chi$')\n", " p.set_xlim((0,140))\n", " p.set_ylim((0.9,1.015))\n", " p.text(74,0.97,'$T = 2$')\n", " p.text(46,0.983,'$T = 1$')\n", " p.text(10,1.002,'$T = 0.1$')\n", " \n", " handles,labels = p.get_legend_handles_labels()\n", " p.legend(handles[:3],labels[:3],loc='lower right')\n", "\n", "def plot_chis_over_doa(p,rs):\n", " models = ['QcaFixedCharge']\n", " cs = [[0]]\n", " ls = {'QcaIsing': 'Ising','QcaBond':'Bond','QcaFixedCharge':'Fixed'}\n", " # Ts = [0.1]\n", " # V1s = [20,40,60,100,200]\n", " # at T = 0.1 and V1 = 20: chi < 1 for all doa\n", " Ts = [1.0]\n", " V1s = [40,60,100,200]\n", " for T in Ts:\n", " for V1 in V1s:\n", " for m,c in zip(models,cs):\n", " chis = compute_chis(rs['V1',V1]['model',m]['T',T][0].table)\n", " chis = chis[ chis[:,0].argsort()]\n", " for c_ in c:\n", " p.plot(chis[:,0]+1,chis[:,1+c_],label=' $V_1 = {}$'.format(V1))\n", " p.set_xlabel('$d/a$')\n", " p.set_ylabel('$\\chi$')\n", " p.set_ylim((0.9,1.015))\n", " p.legend(loc='lower right',\n", " labelspacing=0.15,\n", " handletextpad=-0.2)\n", "\n", "def create_chi_figure(rs1,rs2):\n", " fig,ps = plt.subplots(1,2,figsize=(5,2.5))\n", " \n", " p = ps[0]\n", " plot_chis_over_V1(p,rs1)\n", " text(p,'(a)',loc='upper right')\n", " \n", " p = ps[1]\n", " plot_chis_over_doa(p,rs2)\n", " text(p,'(b)',loc='upper right')\n", " \n", " fig.tight_layout()\n", " plt.close()\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = create_chi_figure(rs1,rs2)\n", "if savefig:\n", " fig.savefig('../plots/chapter03/chis.pdf')\n", "display(fig)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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TkexsuPdeFbu3dKnyZtA0jVeW/4d3177Lf676Dw/1eujsaQRLSpQP5OTJSht9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hYvXuyw3tmzZ3n33XepqKggLCyM2bNnc9NNN3n/jQoEPkDtCinpMemcb9OYCPeAHcVoNKIz2jdx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\n7u7udbuj5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"text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "e1 = coma.Experiment('../experiments/experiment.000049/')\n", "rs1 = e1.retrieve_results(\n", " (\n", " ('P','results/P'),\n", " ),\n", " (\n", " ('model','parameters/model'),\n", " ('T','parameters/T'),\n", " ('N','parameters/layout/N'),\n", " ('V1','parameters/layout/V1'),\n", " ('boa','parameters/layout/boa'),\n", " ('PD','parameters/layout/P'),\n", " )\n", ")\n", "e2 = coma.Experiment('../experiments/experiment.000051/')\n", "rs2 = e2.retrieve_results(\n", " (\n", " ('boa','parameters/layout/boa'),\n", " ('P','results/P'),\n", " ),\n", " (\n", " ('model','parameters/model'),\n", " ('T','parameters/T'),\n", " ('N','parameters/layout/N'),\n", " ('V1','parameters/layout/V1'),\n", " ('PD','parameters/layout/P'),\n", " )\n", ")\n", "#rs1,rs2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_P_for_different_wires(p,rs):\n", " params = [\n", " # V1,boa\n", " (200,1.2),\n", " (200,2.0,)\n", " ]\n", " cs = ['b','g','r','c','m','y'] # 'k'\n", " Ns = [12,10,8,6,4,2]\n", " for V1,boa in params:\n", " for N,c in zip(Ns,cs):\n", " r = rs['V1',V1]['boa',boa]['N',N][0]\n", " d = r.table\n", " params = r.parameters\n", " p.plot(range(1,params.N+1),d[0],'-',\n", " label='{}-cell wire'.format(params.N),color=c)\n", " p.set_xlim((0,13))\n", " p.set_ylim((0,1.05))\n", " p.set_xlabel('cell number')\n", " p.set_ylabel('polarization')\n", " p.text(8.5,0.9,'$d/a = 2.2$')\n", " p.text(8.5,0.4,'$d/a = 3.0$')\n", "\n", "def plot_output_polarization_over_cell_cell_distance(p,rs):\n", " #Ns = [2,4,6,8,10,12]\n", " Ns = [12,10,8,6,4,2]\n", " for N in Ns:\n", " r = rs['N',N][0]\n", " d = r.table\n", " p.plot(d[:,0]+1,d[:,-1],label='{} cells'.format(r.parameters.N))\n", " p.set_ylim((0,1.05))\n", " p.set_ylabel('output polarization')\n", " p.set_xlabel('$d/a$')\n", " handles,labels = p.get_legend_handles_labels()\n", " handles.reverse()\n", " labels.reverse()\n", " p.legend(handles,labels,\n", " loc='upper right',\n", " labelspacing=0.3,\n", " handletextpad=0.3)\n", "\n", "def create_new_polarization_of_wires_figure(P_D=1.0):\n", " n_r,n_c = 1,2\n", " fig,ps = plt.subplots(n_r,n_c,figsize=(2.5*n_c,2.5*n_r))\n", " plot_P_for_different_wires(ps[0],rs1['V1',200]['PD',P_D])\n", " plot_output_polarization_over_cell_cell_distance(ps[1],rs2['V1',200]['T',2.0]['PD',P_D])\n", " text(ps[0],'(a)',loc='lower left')\n", " text(ps[1],'(b)',loc='lower left')\n", " fig.tight_layout()\n", " plt.close()\n", " return fig" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = create_new_polarization_of_wires_figure()\n", "if savefig:\n", " fig.savefig('../plots/chapter03/wire_polarization.pdf')\n", "display(fig)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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+ZCZkljrHw6MFRmNTMjK2OyPkOsnNzY0+ffqU+2U0Gotf792790378fDwIDg4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rrDTR3Y/vfAp5PY7bH07v0Smzb9jsOHVwW8fXHikcG4EEIIISJe+/aQmAgbNsA53c5h9sbZ5kBB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\nNI4fgGvDGVcgRMn1r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