{ "metadata": { "name": "", "signature": "sha256:af7289b9c8c6c0ecece6ade122fac76ac0a45aa7b42e934549bd4ee8cb055763" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Reproduce: Bose, Phys. Rev. B 56, 4175 (1997)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "J. R. Johansson, http://jrjohansson.github.com, " ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from numpy import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In Bose et al. PRA 56, 4175 (1997), the authors consider the preparation of nonclassical states in cavities with moving mirror. The nonclassical states are achived by letting the system evolve for a specific duration of time. Here we reproduce some of the results of Bose et al.using numberical simulations of the Schrodinger and master equations using QuTiP." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Hamiltonian and initial state" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Hamiltonian of the cavity with a moving mirror is\n", "\n", "$H = \\hbar\\omega_0 a^\\dagger a + \\hbar\\omega_m b^\\dagger b - \\hbar g a^\\dagger a (b + b^\\dagger)$\n", "\n", "where $\\omega_0$ is the cavity frequency, $\\omega_m$ is the frequency of the oscillation mode of the mirror and $g$ is the opto-mechanical coupling strength. The creation operators of the cavity mode and the mirror mode are $a$ and $b$, respectively." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The initial states of the cavity mode and the mirror mode are in the coherent states $|\\alpha\\rangle$ and $|\\beta\\rangle$, respectively." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Undamped dynamics" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# number of fock states in the cavity and mirror modes\n", "N = 15\n", "M = 30\n", "r = 1.0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "def solve_dynamics_undamped(r, k, alpha, beta, t, N, M):\n", " \n", " wm = 1\n", " w0 = r * wm\n", " g = k * wm\n", " \n", " a = tensor(destroy(N), identity(M))\n", " b = tensor(identity(N), destroy(M))\n", " \n", " H = w0 * a.dag() * a + wm * b.dag() * b - g * a.dag() * a * (b + b.dag())\n", " \n", " psi0 = tensor(coherent(N, alpha), coherent(M, beta))\n", " \n", " result = mesolve(H, psi0, t, [], [], options=Odeoptions(nsteps=10000))\n", " \n", " return result, expect(commutator(a, a.dag()), result.states), expect(commutator(b, b.dag()), result.states)\n", " #return result, expect(a.dag() * a, result.states), expect(b.dag() * b, result.states)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Figure 1 in Bose et al." ] }, { "cell_type": "code", "collapsed": false, "input": [ "t = linspace(0, 2 * pi, 50)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "alpha = beta = 2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "result, C1_A, C1_B = solve_dynamics_undamped(r, 0.1, alpha, beta, t, N, M)\n", "S1 = [entropy_linear(ptrace(rho, 1)) for rho in result.states]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "result, C2_A, C2_B = solve_dynamics_undamped(r, 0.5, alpha, beta, t, N, 2*M)\n", "S2 = [entropy_linear(ptrace(rho, 1)) for rho in result.states]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "result, C3_A, C3_B = solve_dynamics_undamped(r, 1.0, alpha, beta, t, N, 10*M)\n", "S3 = [entropy_linear(ptrace(rho, 1)) for rho in result.states]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(10,5))\n", "ax.plot(t, S1, label=r'$k = 0.1$')\n", "ax.plot(t, S2, label=r'$k = 0.5$')\n", "ax.plot(t, S3, label=r'$k = 1.0$')\n", "ax.legend()\n", "ax.set_title('Linear entropy of the mirror')\n", "ax.set_xlabel(r'$t$', fontsize=18)\n", "ax.set_ylabel(r'$S$', fontsize=18)\n", "ax.set_xlim(0, t.max());" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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fwC/7f2Hr6a20rd6Wzv6deaXVK/JBIsRt8PLwolVVM8bynfbvEBUfxcojK1ka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\nRK5CYII=\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the dynamics here is undamped the quantum state is pure, and a nonzero entropy of a the subsystem of the mirror demonstrates that the mirror is entangled with the cavity field." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Check Hilbert space truncation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check to make sure that we have use a sufficiently large Hilbert space in the calcuation above we plot the expectation value of the commutators $[a, a^\\dagger]$ and $[b , b^\\dagger]$ which should be very close to 1 if the Fock-state basis truncation that we used above is OK." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 2, figsize=(16,5))\n", "axes[0].plot(t, C1_A, label=r'$k = 0.1$')\n", "axes[0].plot(t, C2_A, label=r'$k = 0.5$')\n", "axes[0].plot(t, C3_A, label=r'$k = 1.0$')\n", "axes[0].legend()\n", "axes[0].set_title('[a, a.dag()]')\n", "axes[0].set_xlabel(r'$t$', fontsize=18)\n", "axes[0].set_ylabel(r'$S$', fontsize=18);\n", "axes[0].set_ylim(0, 1.1);\n", "\n", "axes[1].plot(t, C1_B, label=r'$k = 0.1$')\n", "axes[1].plot(t, C2_B, label=r'$k = 0.5$')\n", "axes[1].plot(t, C3_B, label=r'$k = 1.0$')\n", "axes[1].legend()\n", "axes[1].set_title('[b, b.dag()]]')\n", "axes[1].set_xlabel(r'$t$', fontsize=18)\n", "axes[1].set_ylabel(r'$S$', fontsize=18)\n", "axes[1].set_ylim(0, 1.1);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Figure 2 in Bose et al." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The wigner function of the mirror for various times $t$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "t = [0, pi/2, pi, 3*pi/2, 2*pi]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "result, C_A, C_B = solve_dynamics_undamped(r, 0.3, alpha, beta, t, N, M)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(len(t), 2, figsize=(8,16))\n", "\n", "for idx, rho in enumerate(result.states):\n", " rho_mirror = ptrace(rho, 1)\n", " plot_wigner_fock_distribution(rho_mirror, fig=fig, axes=axes[idx])\n", " \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WZku5xnilFNhSK1GrG9VI+MkiAqfTPRjWkFVcT47jOE4umNntYVj8ZUAVODvh\nIQ4GbjazWwAkXQwcCWQicmQ2dB4NZ1saoSoIpm7P1+uLM63m68bsXG3Ri1OrGwtzQahpIUw4bnhw\n5h59iIXNj7KwZXZR4DRQqUwlFD5j4fuFsSrlcomFaonaQp3ZuVroKSqzcqrKfKTicsO2aonFkFV5\nxH/3XOQ4jlMIJO0HHGJmFzUfM7NHaZo2LmlX4K/M7KwBh96LINewwQaCBYJToVXCbtFmPSXNKIu4\ndquFN1iy2GYjQXihHiQWhy+r16jNzTI/u5H6wtyiwKkvzDV5csZY2DJLqVJlfnYj5bFJFubmqVTL\nYT8s9g9hteTxiC31OhOUWl5DubzN7pHARY7jOIXAzH6rgA8QCI3vAL+I1oyQtILA83IYcC/w0SSG\nTqAPpwPLvbZOzdpXMG6mvjAf/pxb4slpiJ7y2CT1hfnw59LE5FpEcUXDbFGhtdxwkeM4TmEws98A\n75B0IPCXwKnhmlZlYAG4E7gc+KCZPZjQsLcB+0Te70Mgspawdu3axe3p6Wmmp6cTGt4ZVXHToCwt\nrj01CKXKWPwxhzSHJg4zMzPMzMzEatvT2lWSfg9YEd0XfillhhcDdJzikkYxwLSRVAF+CTyHoPbX\nD4Gjo4nHWRcDHCR8NeqCIWs6rVcVXasqWgRw03yNR+YW2DQf1MZ5YHae+x+d4+6Ht3D/o1u448HN\nbH50ntmNW9j86DybNm5h7pH7mdv0UJh8vJna/Nyi9wYCgaNSmXJ1jPLYBNXtVjI2tZKx7XdmasU4\nE9tVmVwxzg4rx9llxRg7bzfO7+0wzs7bjbHTZJUVYxWmqiW2HwuWf4gWBYyuZTWM61glsXbV4cA5\nbFuEa3FNU8dxnCyQ9E9m9u9J9WdmC5JOAL5O8H12TpYzq1qJEhcqw0O5BAthVKkssYAFRfhKJcoK\nwkfVUuDJGQ/XnpocK7MwX6NUKaGSgpya8UkqkfCTSuUgV6cUPGLL1UDkVCa2ozw+SWVsMvhZLVMZ\nK4c/g8U7xyrlcKzSNrVyqmUt2lpaBr9nccNVnwDeC1zQWBjPcRwnbSS9GvhnILp8zG5AYiIHwMwu\nAy5Lsk9n+aDQC1Izo1yC+XpYbbgcrAy+pdyY2l1mci5Yc2p2rsz4RJX6Qh2rG2bbAYHHplwZY352\nI1avUY2OUypTnVxBORQ4Y1PbMT5ZpVItBUs9VMP1rMLlHibHylTLpbBOTiBwyiVRLi21vRtF9uJ0\nI67I2RFOkGHiAAAgAElEQVQ40+NEjuNkzO8Bf2JmWxo7JL03R3ucZUa5pLa1choLekMQ2qkLagrO\naYR/quVSWKemxIqJCrNzNVZMVFmoG7WFOrVaIGMUriW1MDZJbW62ZWJxqTJGeXyS8ljgwRmfrDI+\nWWFyxTjV8WDK+MqpMabClcknwrGr5VIYihIlhMKwVDQcVWp6PwqFACG+yDkHeE3403EcJytujwqc\nkK/mYokTi1HOJyqHokYSZSysCiwoBbk4W8NCUCuLqWqZugUrgs9XykyO1Vk5VV3S5/1AuVyiVClR\nGSsxv7lGrVZlYX67tmtXNUJT1fEK4xNVquNldt5hnB2nxthxcusineOVMuPlEhOVElPVcujJWRqq\narxvMEpLOkB8kfMnwJskvZNgdkMDMzOfYuA4Tlr8XNJnCRKDG/NpXwgckp9Jo0fedXqKLm7iIAnM\nAiEU5r/Myxgvl5ivlJivG9vb0kduuSQqJQWLdI6VWJirMj+xEKxHFda9WTJGKRBElWp5cSXyqckq\n209UWBkROCunqkxVg7yciUoQMisryBNSxGMzaoKmFXFFztm0rjLq4SvHcdLkLcD3gYfC94psjwS9\nVjzOW5D0w7CLmGjIqtwUogoIvDnBRxN4c6xkTFSD5Jf5+rbTx8fCxOCxcrDe1ORYOahWvLkczN5a\naCNyKiUkMTlRYXKszI5TY0xWy+w4tdWDM1UN8nK2HyuzYqzCRKXERLW0xItTFpH37UNVw5yPA/HX\nrvpUynY4juO04lIzuzi6Q9J1eRmTFlGhM0wiZtjFyyCE5RKAIJ8FFOTjYNS1uDOIXVEhKPPE4myn\niXJpcSHNqbEym+ZqzM7XmAvXuVqob1tAcKxSohLO1JocqzBWLrHjVHUxyXiHMES1YqzMRKW0ROBU\nQ69RtaTFaeINgRO9plEj7hRyAccAryAogb4B+DRwnicjO46TIvdIeiFwI0G4SsBxwOtztSqCSW2X\nahhGD81yFi6daOXNiebmBG2gVlega+q2jdCplurhauAlNs0HCcGbqrVFL85cuPbUlnAxz3Z2bD9R\noVwSK8Kfk9XyovdmqlpeDFE1C5xGsrG0dIbVMNbGiUvccNW7gFcCHwJ+B6wC3gbsCaztcJ7jOM4g\nXEywUGZ0pcI/oEAipx/aCaO0xnKSIW7YqpXQKYWJv9WFreGhaihQtizU2TJeY75ui0tANMZpeHMa\nFZPLoScnyLFRkFwc1sOZCGvxNIROtRSEqLbx4CyDMFWDWBWPJd0CPNvMbo3seyxwhZmtSs+8lra4\n88hxCkrSFY8lvdLMLmja9zIz+2xSY8S0o23FY0im6nG0fT/9DRPdBF6Rr7NdBeTG+7oF9XJq9a2V\nkRviZaEGdYzN83VqZmyar1E32LxQZ75WX1wxfL4W/GxFSaJaDkJejfo3E5VgivhUtUxZWvTeKJw2\n3k3gDLsXZ+CKx8AUwWJ4Ue4DJuIaEVZNPp2goujZZvaBNu2eAVwJvNTMvhi3f8dxRgNJ7zaz9wA0\nC5yQJ2RsUiZEH+xFfsjHpR9P1TBcd7uwlYUzqwK2enTKBN6csm1tX6JMHWOiUmLzQj2YgVWvh9PN\nA89NuzU1G2M0at80qhhPVIIcnxKiUg6ETFmBKKpECgCOmsDpRlxPzgXA9sCJwK3AvsCpwKNm9ooY\n55cJpoA+l2AxvKtpWhsm0u6bwCaCfJ8vtOjLPTmOU1CS8ORI2gD8D0H+TSuemYcHOW1PzjA84JsZ\n5Zo43ejm0YHWXp16+LNmwWysWj3w7tTqgQenFvbRbuXw6LIMjQrGJQIR0/DcNMRNK+9NcG7wc1QE\nThKenDcCHwd+AlSBeeBz4f44HAzcbGa3AEi6GDiSINbePM7ngWfE7NdxnNHjFuC/2VbkWLhvt6wN\n6kY/ycdZ5uX0S1L2DbugaUU7jw4EM6y2Enh1QKgOZsHbsgXnVErBTyuJiUogeiAQPq0osbWIHywV\nNtBa3AT7W9fHGXaB0424U8gfAl4p6RhgV+BeM6t1OS3KXsD6yPsNwDOjDSTtRSB8DiMQOcX+63cc\nJy0+amb/2e6gpIezNGZUSUtgjaKgaUez0IHW4auSRN3YRuxUw/ZVtOjhCfOLO4SrlnpfSpH3iyKr\nSdxE27fy3jSuZRRpK3Ik7RvxvDyu6fB2jRtlZr+JMU6cv6bTgXeamYVT1kfzjjuO05FOAic8PpK5\ner1OOe/WV9osJzHTiea1rTp5dRpip1zeKmLChcoXRQ9sFT5tx2xR2yaacxOMtbRtO+9N4xpGlU6e\nnJ8R5OEA3Nyh3balHLflNmCfyPt9CLw5UZ4OXBx+ELsCL5Q0b2Zfbu5szZo1i9urV69m9erVMUxw\nHCdp1q1bx7p16/I2oxBkEbLKI7yVhZgZ9tlkDZHQzqsDW8XOYvJxRPA02jZQU6XjpWM1vY/co2Zh\nA8tX3DSIlXg88CBShSDx+DnA7cAPaZF4HGl/HvCVVv+xeeKx4xSXpKeQZ4GkfwNeBMwBvwaOCUP0\n0TYdE48X2yU4lTxrQZOloBjmKeTdaFXErzn0FH2GNR9rUwNwG5r1STth03xscd8ICZxOicdxvDBI\n+lib/afHOd/MFoATgK8DvwA+a2Y3SDpO0nFx+nAcx0mJbwBPMrMDgV8RzCLNlTTzZdq90kJm27y6\n2TbMlEvaRkA0Kg03kLT4ahxrvKql4FVS61fjePN50T6jY7by3oySwOlG3Cnkj5jZ9i32329mO6di\nWXtb3JPjOAVlGD05UST9FfA3Zvbypv2xPDmQnDenX/IWCb1cS962ZkG75RmgfXJxFDOLvaZUK4/N\n4rERFjZ9TyGX9NpGO0mvIUgGbnwsjwfuScxKx3Gc/HkNcFHeRnSiSMKgV3FWJNuzIioumgVPK1HS\nLHxaCZxOYqbd2MuVblPIX0EgaqrhdgMD7gJelZJdjuM4iSHpm8DuLQ69y8y+ErY5CZgzs8+06mPt\n2q3L9E1PTzM9PZ2Yfa1ycIomCPKqYBwdt2j3pFeaRUcrL09cAROn/1FlZmaGmZmZWG3jhqtONbOT\nBjUsCTxc5TjFZVjDVZJeDRwLPMfMNrc4HjtcBcNfATnvSsad1vVaDnQKccHyETNx6RSu6nl2VXMN\nGzPrMNkteVzkOE5xGUaRE66r9yGCRYib1+hrtEld5DSfl9VDfdB8oCxq+ywngeP0zsAiJ6xGfAbw\nbGAlW0WOmVk5KUPj4CLHcYrLkIqcm4Ax4P5w15VmdnxTm55EDgzuzUn6wZ5EcnOWNrmwceKSxNpV\n/w7MEiy5cDmB2DkFuCwRCx3HcXLCzPbP24YG0dycfisgF32m1ijXyHGKR1xPzv3AKjPbKOkhM1sp\naWfgf8zs91O3cqkt7slxnIIyjJ6cOPTjyYF0c3OSrqWTdq2cvMZ2Rp8kPDkL4QvgAUm/BzxEsPCm\n4ziOkxDNM62GcSHNuDYn4alygeR0Iq7I+SHwQuASgqrFnyUIX12Tkl2O4zhDTz/rWXU6bxA70iZL\nYTNIX87yIm64akegZGb3S5oC3gqsAE43sztStrHZFg9XOU5B8XBVi3MTmGnVC0WcldWvTS5unDgk\nOoU8b1zkOE5xcZHT5vwUhE4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bXgNcmvIYhXh2NH3HZMFHgLcB9W4NE2Y/4B5J50n6saSz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GNmX8jGvL42uCfHcUrKLHpyACQ9mGAJeQP4PnCymd0eOz/znpws/8Mvi/cgixt3Geyexoay/G6y\nZJgnZ+zVVZK2Ak8GXgEcCdxAUFfiz83s/CltTTK/ixzHKSmzKnJGMcsip0hxsxlWX+X9HmddiGbB\n1KurJAl4LIEH54nAxcBbgY+a2YqkJwPnAAenY7LjOI4zDVnd1PIQNkVu8jnNdgvTzNuvb7+xJ62H\nkyRJed4SlCF54vH1wE3A2cAHzOyaPm12mdn21C3cdx735DhOSXFPTjnIQogMG3MzJijnvVIs7euf\ntxcuS6YOV0n6NTO7NHXLJsBFjuOUFxc5xTIr4ibP1UZ5k8d7GzTHZhU7aayu+my/g5JumNgqx3Ec\nJxWSrmZKY8xJV0SNWjXUuwJpFm6u/chjJdWgsScZL8lKrFkmaTHAeu8BSXWgmq45juM4zjhkIW7S\nGGfYWJOONwlFh8KSFg6cJNdmWP6OzMYeZ9C1muVcnaEiR9KF4dPF2POIw4GLMrHKcRzHGUmaIiIt\ncZOXsMnCw5D3CqRBImVSwdNP6Ew7Ru94syZ0Rnlyzgx/PoyghkT07gy4Hvh8RnY5juM4A0jTe5O1\nuMkzKTmt+ZOsQJp2jmFj9BM8SeYY5JFJY4z4WLMkdJImHv+CmX1nqomk44FTCUJcZ5jZ23rOHwS8\nn2AZeg14u5m9t884nnjsOCXFE4+zJy2Bk4YoyULYlLWey7geqqyub9H9Jx0rSyZaXSXp6WZ2Tvj8\nOQTem30ws7NGGSCpCnyXoFz6tcAlwElmdkWszQ5gwcxOCQXPd4F7mlmrZywXOY5TUlzkZGxHSqGg\nrG5+m2V1zzjhpKLFzrTzz8LvZ9JigCcRFPgDeDoDRA4wUuQAxwBXmtlVAJLOA04Aroi1+QnwoPD5\nXYCbewWO4zjOZiUNgZPFDW9WE5LzIq0w1KQhqEF5NknDTrOepzNQ5JjZ42PPt085z2HA1bHX1wAP\n72lzOvAFSdcB+xPskeU4jrOpyTI8lae4ySpnZ5I5BzGNYMtDrMTbx/vnIXT6zT3uOEUwUORISlRD\nx8w6SZolaPMq4HIz2y7pPsD5kh5sZnckscNxHGfeKNp7U6awVpJxpyVpGKoosTJs7qznHTT3JOPk\nybBwVZJQkZGsVs61wBGx10cQeHPi/AbwJgAz+76kHwL3B/aptLxjx47u8+3bt7N9+/YEJjiOkza7\ndu1i165dRZsxl2QlcCbtm2fOT5LxBpFW+GzUTXvalUz9+k8TgspaJCWhjEJnWOLxUUkGiPJshk4i\n1QgSiR8FXAd8mX0Tj98B3G5mr5d0T+ArwIPM7JaesTzx2HFKyiwnHocLJC4FrjGzJ/acyzXxuEiB\nU5QwGmXDtGNOOm+Zw4FlsneScdJiosTjJOIlKWbWkvRC4DMEnp8zzewKSc8Lz58GvBl4j6SvEWw3\n8fJegeM4jpMhLwa+TZATWBjT3uDLcMOchXydYfP1elcmzVuZ1quTpUenH/OYjDzMk3O6mT03fH5O\n30ZgZvaMrIzrh3tyHKe8zKonR9LhwHsJQuYvKcqTUxaBU1RIa9wxxh2/6GX2Wf0O05wrad9h/ccd\nZ1omXUL+g9jz7xPk3/QO4mrDcZx54J3AywjKVxRCEQKnaFE0Tt9Jxx90PsucmahNWiuhkuQHFbXq\nquwenWHhqrfEnu/IxRrHcZyckfQE4AYzu0zS9kHtdu7c2X2+tLTE0tJSejaUQOCU1eMzaqz4eMPG\nLSpBeJK+syR0imB5eZnl5eVEbQeGq/ZpKD2KoEDgoQSrpT5oZp+b1MhJ8XCV45SXWQxXSXozQcHT\nFrCFwJvzkXgoPstwVdoCJ4s+aYibLJKQJxm3yDDWtNc9zz5J+o3qP+44kzIsXJWoFo6klwLnAjcD\nnwBuAT4g6a9Ts9JxHKcAzOxVZnaEmd0LOBH4Ql65hkULHJPGugEmaR/1iTwBSfsMIj5Gv8ek4/Wz\nN+v+/fqN0z7PPkn6jeo/7jhZMGoX8oiXAo80s29GBySdDXwOeHsWhjmO4xRELt/IeQucaQTRuGKi\nrGGOOGnk3EzSvzc8NKrPJCuvRuXKjNOnzGGrJCQVOUaQfBznB0CSaseO4zgzgZldAFxQqA0lEDiT\nipsimTSklpXYGSVCJukzydL2SduPS1mTkAeGqyRVogewAzhD0v0kLUq6P/AvwOtystNxHGdumCYH\nIg+BM22IqQh6bR4nBBXvP+kYk/RNI3w1Ttusw1ZlZFidnER7UplZkm0dUsMTjx2nvMxi4nES0kw8\nLkrgzJpoSYNp339aScaT5Epl0XaS9kn7jeo/7jjjMGmdnHunbonjOM4mZpr/iF3gjE+vZ6X32CT9\nJ6khM26uzjihq7TDVpPk85SZXLZ1cBzHcQaT5X/jm1Xg9JKW4ImHoZLWyYn3S5qrk5bQSUu0pJVT\n8/+zd+ZxslXVvf/+aui+fbkKKEZmcUCT56wRSQztdUaikuFFwTgbgxqNURMVJYp6cXiJisqLIQzK\nEEHjFIyCoubaxAeKAw6IAyrIIAoIKNx7u6vqrPfHPqfq9OkaTlWdmrrX9/Pp22fYZ+9Vp+rW+fVa\na6897tycvInHSDoSeDRwV0IujwGMe1kHx3GcWWTQMEC/D6hZTBoeN1nxMax3p98E5bziqChRNGzS\ncj9Mmycob52cNwEnx+2fDtwEPAm4dXSmOY7jrA+GzXPo9xoXOPkpoobPqMbrZ4ZYP16losYdlHGK\noFwiB3gh8AQz+ztg2cxeCTwVuOfILHMcx9ngDDIt2gWO04lhZ81Nk4cmL3lFzu5m9t14e0XSnJl9\njRC+chzHcTpQVJjKxYtTFBtJLOfNyfmppPub2eXA5cBLJN1CWN7BcRzHaYMLHMeZLHlFznHAXvH2\n64APA1uAl47CKMdxHMdxJsu0JREPQsdigNOKFwN0nOnFiwGmrnEvjrOBGWdRwEGLAa5C0n0JM6v2\nBa4D/sPMflSMiY7jOE4WFziOMxx5p5A/E/gm8EDgduBBwDcl/eUIbXMcx5lJivDiuMBxnOHJFa6S\n9DPguWa2lDp2GHCWmR00OvPa2uLhKseZUmY1XCXpAOBM4HcIhU7/zczelzrfV7hqEJHjYSpnPTFr\n4aotwMWZY5cAuw1jmOM4zpRQA15pZpdJ2gJ8Q9KFZnZFvx0VUfjPBY4z63RLWh7n5ztvnZx3A2+X\ntAAgaTPwNuA9ozLMcRxnXJjZDWZ2Wbx9O3AFIf9wLHiYynFGQ8dwlaRrMof2jn/fAuwZb//CzA4c\nkW1t8XCV40wvsxquSiPpIODLwP1jwZM7XDVsLo4LnMFoRJN9JpRL/r51Y9QiftBw1bNz9O1qw3Gc\ndUMcqvoY8IpE4Ix8TP+jbQ2TFi39Mqi9G0UcTVK8dxQ5ZrZ9jHY4juNMFElV4OPA2Wb2qez5bdu2\nNbcXFxdZXFxcff2Q+QcbzYtTlJCZFjk0yLuX9x5sFDGUl6WlJZaWlno3JP/sqjlC1eNnE+LU1wNn\nAdvMbCXXQNLhwIlAGTjVzN7Zps1WQp5PFbjJzLa2aePhKseZUmY1XCVJwBnAzfECxNnzPcNVw4Sq\n1rvAGUTQDPotPw4vUFGio6h3faOLoG7hqrwi5z3AIcCbgZ8DBwJvBL4er0ze6/oy8EPg8YRCgpcC\nR6dnLkjaA/gK8CQzu1bSXmZ2U5u+XOQ4zpQywyLnj4Al4Du0nq/HmtkF8fmRiJz1mouTV2jkadWP\naBl3lKtfbTGIGBnmk7FRxE8RIuc64MFp0SFpL+A7ZtZzBoKkPwDeZGaHx/uvAzCzd6TavBTY28ze\n2KMvFzmOM6XMqsjpRS+R416c3mKk29lu13brtjHEo6DR5j0rD/lelHNcnkd35BUng1q73sRPIcs6\nDMl+QHq21rXAIzNtDgaqkv4buBPwXjM7a0z2OY7jjJ1ZFzjdxEmnM+2uaddNJwHTTpwADPq3byOy\n5kO/PkAn6bcwa3M70ZS06SSISup+X9MCpVOrXp+qdv2vN+GTkFfk/AdwnqS3AFcDBxFydP4j5/V5\nPjlV4GHA44DNwMWSLjGzH2cbHn/88c3trVu3snXr1pxmOI5TJNu3b2f79u2TNsMZI/0KmzyiJi0O\nsiKmne7I9hl1tChfuKvWo003AdCp2Fy5pDWiqZ0gygqhbiKomwDqJX76FT7rRfT0m3j8TFqJx+cQ\nEo+Xc1x/KHB8Klx1LBClk48lvRZYMLPj4/1TgQvM7GOZvjxc5ThTykYMV01DVddx0OnhmkfYRKtE\nTHo7VT8lfTx1QVbApM9lx250UTvRAKnMpS7SoNxG3WRbZ4VC9pLs+exHpp0nqJP4aW9jj3Bp17P9\n9TVJhsrJkVQBTgOOMbNdgxgQ9/FDgpfmeuBrrE08/l3gJOBJwDzwVeAZZvb9TF8uchxnSnGR02K9\niJy84iaPsGknatoJmnZCJi1g0oIlfTyPF2hQ2r2daRGSFT1pgZQ+l+6mmwhKn+slfvIKn/UqeobK\nyTGzuqQnAo1BDYj7eBnwOcIU8tPM7ApJx8TnTzazH0i6gDC7IQJOyQocx3EcZzwMIm66CZt2npq0\nqMmKmUTIJPvt+qnFg0Spg7VotTunm3cnL1kBUy21DpRSgqNaTguTlk3lSGv6KSHqkXUUQFGzXdqO\nVu5QNvTVK2m6XagrK1TSZ/sJb02T4MmSN1z1GsJSDm/KWxdnVLgnx3GmlyI9OZLuAzwc2B+YA34N\nXAl8ZVCv8hC2bChPTjuBk0fctAtFmbUXNUmfaVGTFjTJbU0LmUTAJO2S/WiV8Inic6st7rd+TrsH\nd7WUFjRpoZOcL8XXrt4PbRRfF34nH49EnCTXJB6gZL+d5yePx6eXt6dfT0/eT/MkBE8RU8ivBe5O\n+IzeSOvzbr52leM4CUWIHEnPIdTUuhH4NmG9vJ3A7sA+wEOA3wAnm9kPh7M4t01tRc5GFDjdxE3W\n25IWN1lvTdpTkxU1iaBJi5moeT5qCphGZM3txJtTa6TtS3l4BnDprBYyaz02q46VEnGi5nZyfVoE\nZQVQWvz0K3wGFT3rTfAUMYX8WQXa4ziOswZJm4HXAJ8xszN7tN0EHCXpd83sP8di4AYgK3A6eW+y\nYal24iYbiuokbLKiJu2dSQRNImbSQiYyawqXhrWuW6lHzXHT+51eYzuyD+e5SmnV8WS/6blJREy5\ntMZjU1IQPeHaBtWSYvETUVKqj8Zq4VMti3qUCBWjLKVCWKHvRDamRU8UWVP0pF9Ho0MwqqzV72dy\nSbdwVHJmFkJauTw504R7chxnehnGkyNpH+BGM6v3cc0BZnZN75bDsRE8Od0ETi/vTR5x00vYdBI1\naUGTiJmVekQjsuZvYNX2clbopLw4WdGTJREwzf3yaoEz30bwdNqulkqUlfboBPGSCJ+kn0T4ZD0+\nWdEDQfSkPT15vTxFeHim1btTRLhqnjCF/GhaU8jPJUwhH3ts3EWO40wno5hdJWlv4NdJPqCkzWa2\no8gxctiwrkXOIAKnU85NP+JmuRGtETbL9WiNqNm50lgjbJaT/UaUETuNjmInnO8dtkoLnc7ipky5\npGbbuXIQOPNtRE/6d1r4pEUP0PT4pEVPOs+nWioVKnhGEc7K88kvWugUEa76AHBf4OW01q56A6GS\n8fOLMNJxHKcDtwNPif/A+SRwFHD6hG1aNxQhcLp5b+qRdRU3u5qixliuN2gY3LFSbwqanSuNVaLm\n9uXk3OrjidBp1COi2HMTJeIrSV7uI/m4lAiDJOzU3C9RTgmeRMDMN4VMS/xkhU8v0bO8ytMTxYIn\nCoIngkasUpLQVhA8rfelrCBwomi14Gm+j4m4iPfbhbPK0pqChNnLk/e6nVgx8oexxhHCyuvJ+TVw\nbzO7JXXsLsBPzGzPEdrXzhb35DjOlDIiT85BwHuA+xNKWVxmZkcXOUYOG3J7cmbJi5M3ybiXwOnl\nvVluNJphqeX6anGzXA+CZ1fskUlEzc6VBsv1iJ21Rny83hQ1SZtE0ESRETUs/I77jerRGpHTyOHF\nSUiETFrklCqt8FGpUgrHyop/B/HTSfgszJXbip6FuXJPL08nD0/auwOt5OVO3lszvBMAACAASURB\nVJ1ReXYm7dUpwpPzC8JSC7ekji0QwlaO4zij5CXA2wizrXYjzLByRkDRAicImtXem131KN5e7blJ\ni5sdKw1WGkHM7FyprxI2teU6UWTUa9EqQVOvRTTqERYZjdiTk90GaNR7p3yVK+HRqCRvplxas12u\nlFoCp1JaI3wq1fIq0bO5KWbC7y3zFcolsXOlQbmkIIJS7TeVS0QW+o3KohSJRknUIqNaElGZpncn\nETu1RhA6zTo6kaAUv4GRmmGsXp4dqfVeJ56dtNCJrFivzig9OnlFzlnA+ZJOIiy0eSDwUuBMSY9N\nGpnZl4o30XGcDc6SmV2a7MT1cyZOp3yc9UDWw5Ouf5POwUnTSeAEjw3sqMXhpUa0ynsThEzw1uxY\nabCz1lgjblZWGtRrDaKGUV9pEFn8O95vNFrixiKjUa9jUYOotkJUD6XdLAr1bJP9bpQqcwCoVG7u\nl6pzzf1ypRKETrlEpVpuK3oq1agpeFaq5VViZr5Saj7c5yolFqrl5v7CXNheKUUDiZ2kbbWsEIKK\nCxFSam0nXp1kzIjg1Un2zVpenYZZxxDWLAidvCLnxfHvY1PHFB9/cerYPYswynEcJ8VD4sV6b473\na0UPIOlw4ERCRfZT0+vqrVd6TReH7FTx1S2yXpykTRKiSjw4yaypbgIn8d7cvlxvhqV2xMdry3Xq\ntWiVuKktN7DIqNeCwKmv1FaJGosaRPUVovi3NdoLnET4QEvQQErklFMip1ReJX4qC1uol8rUay3B\no1LLg1NfaVCZKwdx0rCmd6cRGTtLYrkeMV8psTBXYaUeNT07jciaIaxGZDDXyreJrMR8pURtVdQt\n5OyEKfRhanraq9OcOh57dUqIRjSY0AnboxE6oyKXyDGzg0Zsh+M4Tic+CHxW0jcIFY/vCny2qM4l\nlQnr5j0euA64VNJ56bX1NjK9vDjpMBW0ZlAlOThJiKoWJyD3Ejg7UmGrtMCp1xrN7UYjCvuxuKnv\nvL2tsGkJnqCLG4lXp9F+laJE1ACUY0FTqlRRWuCUw7ZFDVQq04i9PPVSmcpcFYsMi4J3J2oYlWqJ\nyIxKtdzcb8Rxo2wCbnpW18JcuTUTbA4olZpqsl+h0xQrEQMLnU7kFTq9GJU3J68nx3EcZyKY2fVx\nWPwZQBU4teAhDgGuNLOrACSdCxwJbEiRk6dYXraCcUKzanG6oF8ztycWPxamcSc/y/WIldjTk/wM\nInDqKzvbiptGG09O2oOTJfHoJNeovkI5FjXJ+eRcqVRuiqvKwhbqK2CZfB4ID9o6UKmWqdciKkAj\nKrFSj5qJyMkMsblyieX4+Fyl1YYKUCpRJQjJapmm0Kl2EQehbfDoJN6YCEsVFMznZenkzcnLpLw5\nMylyjnruUdy669Y1x/fYtAfnnnHuBCxyHGdYJN0TONTMzsmeM7M7yEwbl7QX8KdmdsqQQ+9HyDVM\nuBZ45JB9zjx9zLYG1oaz0mTXkRqG4CmJhVMtFZrqInCy4qaTyFEsWqAliErM0SDerlSbbaP6ClTm\noL5CeW6BqLZCqToHVGg0IiqlcsvOKFQhjuoRpbkyUTwzrBzn30Co77MwV2GlEbFQKq8Sm+ntWiNi\nvtLyOEFyf9t7c0o5Z/sV6UkZdTJxP8ykyLl1163c41n3WHP86rOvnoA1juMUgZn9TIF3EoTGl4Dv\np2tGSNpC8Lw8FrgJeG8RQ+dptG3btub24uIijz7ssAKGdgalmzdmVuh30VAnsLS0xNLSUq62Myly\nHMdZn5jZT4HXSnow8CfACfGaVmWCx/8G4MvAP5vZWnfuYFwHHJDaP4AgslZx3HHHZY0taPjppKT+\nvDllhanL7aiWxHKjuPulkpphpfQMqIiV8ClJty2XKTFHVF9pemrSScbt+2/1mc7TyZJORk5fV45z\nbpKQVbOQYFJnJ7WkQx7S7dKLhqbpVj+n3zGGZdRenMXFRRYXF5v7bzvhhI5t+xI5kn4H2JI+Fn8p\nOY7jFIaZfZuwAvk4+DpwcFx08HpC7s9Yiw1OE81ZPQOQPFOrpRKNKFmAstVfSaKskGCbzsFJpkyX\n46J35ZJolEuUIgu1Z8woRUZlriU4Qu7LQmvwlZ0hfETIpwnJwtWQdFyBRrm8JuE4PdtqlVgpJ1PF\n1yYfJ4nHicBJZlqpVKZcqbSmlMfFAUvlVB2dpHhgfC6pi5PUz0mqJM+vOt5aDDSdB5MtEtiJdOJx\n89pUdkxeOdKtOOA0k0vkxNMrT2NtES4j/IXlOI4zFiS92Mz+taj+zKwu6WXA5wjfZ6f5zKoWZbVm\nWEnxX+nxlJqQewFEranK1bJYrofjtYg4T8QoRWEJgshKIfk4JWo2z/V+jJQk6rX0lG/F9Wkq1FeW\ngyenw/TxqL5CeW7TqhBXVK/B/MLqMVI5N1lvTiJsmscy4qY5fTyeSl6dL6dq5oTtSrVEqVxiLi78\nlxQIXJirNAVO61irOOBuc5U1lZDzVEGultPCpFUMEMhs966A3Pl96d0GpnwKOfAvwFuBM8e9MJ7j\nOBsXSc8D/hZILx9zN6AwkQNgZucD5xfZ56whuicnhYJwnVukxU7wMpRolMJMq2pJUCmxqx5RkthU\nKZF+/HTyHM1VSuxcKVEq1aknlYUrDSrVUpilVC1TrzVC/ZnGpjX1coCm6AGIVomctUUB096crKBJ\ntpOigOmCgOn6OElBwEq13KyAnIibcmoZh81z5TXVjzdnqh4vzJVXLfUwH3uE+hE4yTIPiagp0doW\nwy3x0E7gTEvCcUJekbMHcLIvGuU4zpj5HeAPzGw5OSDprRO0p4lJM131uFtYKjmXOG3yenOSqrrV\nMtQaBDFTJ55DHUEceomaSwZUYiHTaI7besCH9arKJdGYKzenlbcETrSq8nGjHmGbqnHV483N6sfQ\nWsqhOXOq1r7qcZgdFb/OVHXjsN8SNOllHtIem25LOySVjtutZdVL3KTXsdpUKeVapXzUa1j1I3Am\nKXvyipzTgBfEvx3HccbF9WmBE/NfE7FkA9DOm5NOQE57c7oKHcJDdqUehE45qediIUcn8eiEB3K8\nMGXcz1ylxOZ6mR0rDbbMV5qrju9cqbO8qbJqcc56rUE0X2m7MGd6UU6LWuIlrGW1W9f7kE0cTi/W\nmWehzrmUaOm1SGd2zaqsuJmPRU3WcwPtvTeJJunmvUnev3QKc1bg9LNAZ/r6NNPg08krcv4AeIWk\n1xFmNySYmS12uMZxHGdYvifpI8APCSuQAzwZOHRyJnVHZjOzEnkeb05zX0kRuBCSMuvt0ZmrgJko\nNeIiclF4QFbLJXbUGvGsq1YIa1c9YiH22iS/N8+VwxpWcQXgUDSv0ayMnBxLViQHVq1KDqE+TUKU\nw/uWnpWUnhG1akXy1KrjQFtRkwiXdK5NWtAMu/p4Ymu/4iacW70/ae/NpNeuOpX2VUZn11frOM4s\n8CrgK8Bt8b5S204BZMVM2pvTKWyVCJ2kTVroVEpgBC9BmSBsJKiWK6GSb9QSO5FBudagUTZqkTFf\nCdV+N5VDcnItipqLd6YFzXKy34hWCZ/kHNBsn2wnNOqr1kNYez8qpdX7KRGT7M+nttNiBljjqckj\naoCewiaM1znnJjmfDksl72dW2KRfVx5xA2sFzjSGptqRd+2qD43YDsdxnHZ81sxWlTGXdNmkjNko\ndBI62VYNs1U5OqWSmks+JF6dUikldqol5q0Ur2+VJCK3FvGsRcZ8PBsrsrDW1Z3mKmGBT4M7VkJu\nTVrwpIVP81zs0VlJCZq00Fmpty8kOJepJJx+kKdFTHJutdhZ69XJTv9Oe2pg7TTwpAZO2mOTXN+v\nsEnbn/XaJH3AamET9lvb48i7GXWict4p5AKeDzybUAL9WuBs4IOejOw4zgi5UdKTgR8QwlUCjgFe\nMlGr1hntwlbthA6wyquTPNoaGJVyWNAxLXaExXVG1np2zILnIrKwFEEjXpIgMSMRPY3ImqJnc7Uc\ni59Y0MTenqzHptN+mnZhunYP3LQHp92xtJABmmIm3KtW6Cm0UbOfTvk1yXbaw9MpFBVsCPv9CJuk\nr9b26te8HsRNQt5w1euB5wDvAn4OHAj8A7AvsK3LdY7jOMNwLmGhzPSf3r+Hi5zCySN0gDXhq1bL\nzmKnXRgLoFIK3qDEuwOxiEmJHljt6UlsSC/8WWu0toGmCILVq6hDa/HQbiSCpXlvUs/jtIAJ+1q9\nnyQrZ8RMaNPqv5OgAQYSNaHN2mOjEDbp8bsxDdPJ84qcFwGPNrOrkwOSPgdchIscx3FGx6vN7Mz0\nAUnPmJQxWWZ9GnmWtJBJSB5TncJXvcROmWS5yKSFNf8tAVVEhFFJxo5FDxCHtWLhEkUk2iUtfkK7\nKD7eEkEJ3RYHTSchd1sCIV1ReNUSC4mQyYiYcK6VR5Pebydo0qGnpj0Fi5qwv/p1rVdhkyavyNlM\nWAwvzc3AprwDxVWTTyR85k81s3d2aPcI4GLg6Wb2ibz9O46zPpD0RjN7C0BW4MTcZ8wm9c0szbBq\nRyevDsRl7jNeHegsdoCWd4fWgzkJZ4U+RbUUQlmJ6IGWpwdYJXwSj09CInoaGSdNO69NnhUr2j2n\n13h3Su3PZUUMrM1/6SZmoLugyR4fVtRk+8syi8ImTV6RcwFwtqRjgauBg4ATCGXQeyKpDJwEPJ6w\nGN6lks7Llk6P270zHm9675rjOKPkryU9gM7fAY8kfP84I6SdVwfah7CAtuoh1NUJ21nBk3h4oOXl\nqZSS8YL8CcKnNUaEMV/RKjHTMGNT3FPWqVYrcFHQalYx0CUUlFlDM71WVNYzE461FzPZc1ndPClR\n06uPaSKvyHk58H7CgnlVoAZ8ND6eh0OAK83sKgBJ5wJHEmLt2XE+BjwiZ7+O46w/rgI+w9rvW4uP\n3W3cBm1kunl1oHPOzpp+UoIHBXFSiZ/KaXGSfshHpIVPa2RLNUqLoHBNq7P5ilLt2ry4LnRY7Du2\nce0LzLbPtsiKgk6eGehfzMBgggb68ybMirBJk3cK+W3AcyQ9H9gLuMnM2s/Ba89+wDWp/WsJf401\nkbQfQfg8liBy1k+g23Gcfnivmf1Hp5OSfjNOY3qx3vJy2tHJqwPtc3YSOgkeWCt6YK3wSRKUq22E\nVtr7kx6v02PbuoiWdgwapmk3TNtqwB2E4Npja9uNQ9Dk7XPa6ShyJB2U8rzcK3N6Nyn5INpPc4yT\n5xvgROB1ZmbxlPWOd/bK713JjR++EYB9H7gv+z5w3xzdO45TNNu3b2f79u2F9tlN4MTnZyJXb9bz\nctqRFTBpunl3mmSuSWZpNftvI3xgtfhpjtHmqVLtIsaKoqeQ6CLq2h/v3Fe3oUYhaPL0O2t08+R8\nF7hTvH1ll3Z59PF1wAGp/QMI3pw0DwfOjcXTXsCTJdXM7LxsZ/d5wH24xzPvkWNYx3FGydatW9m6\ndWtz/81vfvPkjBkQSf8EPAVYAX4CPD/2Xo9+7BkWQnkFD3QRPdBW+GQPpwVCOxGUpp0gKppOgmVt\nu+7ne+mJvILDBU1nOoocM7tTartPR98avg4cLOkg4HrgGcDRmfGa3iJJHwQ+3U7gOI7jFMzngdea\nWSTpHcCxwOv66WCYkNUsC52EboIH2j+Euwof6DgNqkeuc24BMgr61Qz9iIxhXtVGEDOdyFvx+H1m\n9rdtjp9oZn/X63ozq0t6GWE2Vhk4zcyukHRMfP7kPu12HMcpBDO7MLX7VeDPi+q7l4BZj/k82Qdq\np9BRp7vSU/ykx+rS/7gZVkgUIUMmIWbSn99pFOt5Z1c9H1gjcghVkHuKHAAzOx84P3Osrbgxs+fn\ntMtxHKdIXgCcM+5B14M3pxPtHrzdhEmvu5C9clq9FKOyalpe76yI864iR9ILk3aSXsDqEgn3Bm4c\noW2O4ziFIOlCYO82p15vZp+O27wBWDGzDw8yRievTF4Bs56FTpZOD+o8Xpn1fIemRcD0YlYEDvT2\n5DybIGqq8XaCAb8EnjsiuxzHcQrDzJ7Q7byk5wFHAI/r1GbbttYKNouLiywuLhZj2zoMWQ1Knof8\ntISn8jAroiUvnT6n4xbnS0tLLC0t5WqrPIuISzrBzN4wrGFFIMme9PQncY9nrZ1ddfXZV3PBRy6Y\ngFWO4wBIwsxm6ps9XnLmXYT1+bLL1yRtbMfOnfn6G+BBMO15DY7T7nM9LZ/VzQsLHb938hYDbAqc\nbA0bM+uzjqTjOM5U8X5gDrgwLmFxsZm9dJwGpL05Gyls5cwes/bZzDu7aj/C2lOPBnYns1bbaExz\nHMcZPWZ28KRtcJxpZ9bETULe+jf/Sliv6rHA7cDDgP8EXjIiuxzHcWaSTg+DXnk36es8R8dxiiHv\nFPJHAQea2e1xzP2yeObV/wP+bXTmOY7jrB/6CUV52MpxhievJ6ce/wDcIul3gDsIC286juM4KQYV\nJ9nr3KPjOMORV+R8DXhyvP054CPAJwnLNTiO4zgZighbOY4zHHnDVc+iJYheCbwa2EJYOdxxHMcZ\nER62cpzByTuF/NbU9g7grSOzyHEcZ50waBXk7HUudBxnMHKFqyTNS3qrpCsl7ZD0Y0nbJG0atYGO\n4zjrkX7DVp6f4zj9kzdc9QHgvsDLgZ8DBwJvICQe+2KajuM4HRjnsg3u8XGc1eQVOX8C3NvMbon3\nL5f0VeAnuMhxHMfpyrjCVun2LnYcJ//sql8AmzPHFoDrizXHcRxnY1F02Cpp7+Gt4pFZ82eQ65zx\nk9eTcxZwvqSTgGsI4aqXAmdKemzSyMy+VLyJjuM4s88wYatBPTru1SmGQRdQ7ff+e7ixePKKnBfH\nv49NHVN8/MWpY/cswijHcZz1yKBhq3bX9hO68odn/2Tfp0HETd7rXIyOjrxTyA8asR2O4zgbgmGE\nTr/XbGShM4j3pd37Mqi4yXOth7BGT15PjuM4jjNi+k1E7veavEJnGj0LoxQE4xY3g1wzaMhso5NL\n5Ei6psMpM7MDC7THcRxn7Eh6NfBPwF5m9utRj9ctP2ccQic51qv9KMTOqL0Xg3jDiri2n+sHDWcN\nMsZGF0R5PTnPzuzvDfwdcG6x5jiO44wXSQcATwCuHue4kxQ6/bbP+8AclYAZ5YN6kL4H9fwM6/EZ\ntcBZjyHNvDk527PHJG0HLsDXr3IcZ7Z5N/Aa4D/HPXCRM65gNEInaZf+3emafqavz9rDtNNrGjTf\nZxBRNMg4o7pmVhgmJ2cZn03lOM4MI+lI4Foz+44m9NAddsZV0jbvdf0Kl3Y25hU7WdumQdj0K1aK\nFjd5ri3immHsy8swM9DGRd6cnLcCRpg2DqEw4BHA+SOyy3EcpxAkXUgIsWd5A6EsxhPTzTv1s23b\ntub24uIii4uLRZk49IyrQRb0HNar0884k2BY70TRych5r58FgTNpz8/S0hJLS0u52spyGCvpQwSR\nk3AHcBlwlpkt5zVM0uGE8FYZONXM3pk5/5cEt7GA3wIvMbPvZNrYk57+JO7xrHus6f/qs6/mgo9c\nkNccx3EKRhJmNn1/zrVB0gOALwI74kP7A9cBh5jZrzJtbcfOnaO3aUa8Bu2uG7eYGeZBO0pbhxFH\n45il1em6QccbZOyi2byw0PF7J29OzvOGNUJSGTgJeDzhi+RSSeeZ2RWpZj8FFs3stlgQ/Rtw6LBj\nO47jZDGz7wF3T/Yl/Qx4+DhmV3W0qYtHJznf7/Wj9tD0m5zcD8N6DMb50C1S3OS9tkhPzHqt6ZNr\n7SpJr5P0iMyxQyS9po+xDgGuNLOrzKxGmJl1ZLqBmV1sZrfFu18l/GXlOI4zDqbiW7zbw2bQhN5B\nrktPIe91XTYHp58HYtK+3U9eEhuyP6Omk639jD/OsNag182qwIH8C3T+HXBF5tgVwCv7GGs/wrpX\nCdfGxzrxQuCzffTvOI4zMGZ2r0l6cdIUIXQGES2DXtfu2jxiZZiZZaMSM91EVycRNog9g4qjTvd0\n0NBWUQJnGpOOIf/sqiqwkjm2Asz3MVbuT7OkxwAvAB7VR/+O4zjrhmHq6HTrY5hZW+lzg1zbD+Py\nxORh1CG4UXt9steOY+bVtJBX5HwT+BvgPaljL46P5+U64IDU/gEEb84qJD0IOAU43MxuadfRld+7\nkhs/fCMA+z5wX/Z94L59mOE4TlFs376d7du3T9qMdcsohU5yrte16fbDXpun/ajoN/w1jrHHMVsr\ne+0oBM60enEg/+yq+wNfAK4nJAffC9gHeIKZXZ5rIKkC/BB4XNzP14Cj04nHkg4EvgQ8y8wu6dCP\nz65ynClllmZX9cO4Zld1HL+gGS1FexGKGH+QfoYda5Jj9zvWuMVNpzG7MWmRU8Tsqssl3Rd4CsED\n83Hgv8zs9rxGmFld0suAzxGmkJ9mZldIOiY+fzLwRmBP4ANxYa6amR2SdwyAo557FLfuunXN8T02\n7cG5Z/gqFI7jzB69PDpJm0H6GdYz0+/4o2TcXqM8OU5F9j3KqeiDMmmB04u8xQD3B3aY2TmpY3eR\ntK+ZXZ93MDM7n0wBwVjcJNt/BfxV3v7aceuuWzt6eRzHcWaVXuGffsJX7frpV+xk+xjFFPJuTMrb\nMCvCZlB71kuYKiHv7KpPsXYm1P7AJ4s1x3Ecx+lGr5lX/XgzBp1u3q2PQaaAd2LY6eVFzMDKM+6g\n4+SZrZW3j0529WtPXmZB4ED+xOP7mtl3M8e+C/xewfY4juM4PegWvoL8Xp1OffXrlenlHeqnr2Ep\nYpy8U+aL7rvIvBkXOIG8npxfSTo4c+zewE0F2+M4juPkoNdf+kV5dQYtytepr2E9RZ3GK9Jjk2e8\nQfvv1m8/ffWysV/b8jJLAgfye3JOBz4u6Q3AT4D7AG8FThuVYY7jOE5vivbqJNdk+8i2ydtXr/7y\n9DmqB+uoE5XH7W0ZVHzlZdYEDuQXOe8EasA/E3JxrgFOBd49Irscx3GcnOQROkm7vP2lrxumr2zb\nbn12u65IRhmOytP/KMSIC5z25J1C3gD+Kf5xHMdxpow8xff68er06nPQ2VS9BE8RY/TqrxujFDeD\n9D8qmzeCwIEcIkdSFXgW8ATgroQ8nC8CZ8ULbTqO4zhTQp6p5ul2w/Y5THJx3tldw4wxjto5kxQi\nLnC60zXxWNLuwFcI4aoV4FtAHXg7cHF83nEcx5kyej2cBpnm3Svxtojp4+2SibPen35+8o43CHnG\nGCZReRL9Dtv/tNHLk/N24EbgMWZ2R3JQ0hbgo8A7gJeMzjzHcZzRIunlwEuBBvAZM3vthE0qjLwh\nrHTbovouevr4sDV98vSXl0lNMR9H38P0P430Ejl/ChyaFjgAZna7pJcCl+Aix3GcGUXSY4CnAQ8y\ns5qku03aplEwDrHTrf9R1cvJK3xmIadnFvOFZoFeIufOtFkpPOa6+LzjOM6s8hLg7Ul+oZndOGF7\nRsooxU72mjyCZ9Bx8tpQFLMsQDaquEnoVQzwp4RVw9vxWELNHMdxnFnlYGBR0iWStkv6/UkbNA7y\n5FsMm1+Tt0jfoEs2jItRC5BR5d4k/Y+q71mhlyfnXcCZ8erhnzCzSFIJ+HPg/cDrR21g0fgq5Y6z\nsZB0IbB3m1NvIHwH7mlmh0p6BCHX8F7t+tm2bVtze3FxkcXFxRFYO17yeHbS54d5IA4ydbxbH6Nm\nlPkrk/YMzbqwWVpaYmlpKVfbriLHzD4k6a7AB4FzJN0E7AUsA282s9OHNXbc+CrljrOxMLMndDon\n6SXAJ+J2l0qKJN3VzG7Otj3uuONGaOVk6VfspK8ZZrx2/eYdP2/f/TBqL9Kk7Z91cZOQ/SPjbSec\n0LFtzzo5ZvYuSacAf0gQODcBF5vZbcOb6jiOM1E+RQi9f1nSfYG5dgJno5BX7GTbDPvw7DYlvV/G\nFe6allyijSJsBiVvxePfABeM2BbHcZxxczpwuqTvEmqBPWfC9kwF/YidbLtRz57KjjdOihZz/Vag\nTl/XzzgbmbxrVzmO46w74llVz560HdNKP3k07dqN6mE76iJ446SX0JlWu2cFFzmO4zhOT4YVPNk+\nxs00iYBeq7LnZZpe07TiIsdxHMfpi0EET7u2G+khXVSIbSPdsyJwkZPBp5g7juPkZ1DB06n9enmI\nu6iZDlzkZPAp5o7jOIMxjODJc900PvBHkQQ9ja9zVnGR4ziO4xTOoLVwutFPH8MKhXHO4HJRMzpc\n5DiO4zgjp+hVxHsxbctDpHFRMz5c5PSB5+s4juMUx7iFz7hxMTN5XOT0gefrOI7jjJZpKwCYBxcz\n00uvVcgLQ9Lhkn4g6ceSXtuhzfvi89+W9NA8/V7/3euLNXQIjnruURz+jMM5/BmHc8hjDmluH/Xc\noyZtWpPt27dP2oS2uF39Ma12OYORd7HB9TLuIGNnVzXv9lPE2EWO1+/Yo2Ijjj0WkSOpDJwEHA78\nL+BoSb+XaXMEcB8zOxj4a+ADefqeJpGTeHru8ax70Ni70dy+ddetqwRQ+mfcAmhaH45uV39Mq13O\nYLjIKZZeouTLF11UqHDph/V6z6d17HGFqw4BrjSzqwAknQscCVyRavM04AwAM/uqpD0k3d3Mfjkm\nG0dKr1CX5/s4juM4TrGMS+TsB1yT2r8WeGSONvsD60Lk9GIYEZRc3+7cuWecu+raK793JZdcccmq\n847jOI6zHpGNIZlL0p8Dh5vZi+L9ZwGPNLOXp9p8GniHmX0l3v8C8Boz+2amr+nNPnMcBzNbd1mY\n/r3jONNNp++dcXlyrgMOSO0fQPDUdGuzf3xsFevxC9RxnOnGv3ccZzYZ1+yqrwMHSzpI0hzwDOC8\nTJvzgOcASDoUuHW95OM4juM4jjN+xuLJMbO6pJcBnwPKwGlmdoWkY+LzJ5vZZyUdIelK4A7g+eOw\nzXEcx3Gc9clYcnIcx3Ecx3HGzdiKARZNnuKCk0DSVZK+I+lbkr42QTtOl/RLSd9NHbuLpAsl/UjS\n5yXtMSV2HS/p2viefUvS4ROw6wBJ/y3pcknfk/S38fGJ3rMudk30nkna2Hlk7wAAIABJREFUJOmr\nki6T9H1Jb4+PT/wzNqtIermkK+L3+Z0TGP/VkiJJdxnjmP8Uv+ZvS/qEpN3HMOZEnh2d/i+Pcfxy\n/F3x6TGPu4ekj8Xv8/fjdJTxjT+Lnpy4uOAPgccTkpMvBY42syu6XjgGJP0MeLiZ/XrCdhwG3A6c\naWYPjI/9H+AmM/s/8X/uPc3sdVNg15uA35rZu8dpS8auvYG9zewySVuAbwB/QgibTuyedbHr6Uz+\nnm02sx2SKsD/AH9PqHc10c/YLCLpMcDrgSPMrCbpbmZ24xjHPwA4BbgfY/z+kvQE4ItmFkl6B8Ao\nPy+TfHZ0+r88rueWpFcBDwfuZGZPG8eY8bhnAF82s9Pj74rdzOy2cY0/q56cZnFBM6sBSXHBaWHi\nMzHM7CLglszhZsHF+PefjNUoOtoFE75nZnaDmV0Wb99OKFS5HxO+Z13sgsnfsx3x5hwh1+4WpuAz\nNqO8BHh7/H3GOAVOzLuB14x5TMzsQjOL4t2vEmbVjpKJPTs6/F/edxxjS9ofOAI4lTF+b8SeucPM\n7HQI+bnjFDgwuyKnXeHA/Tq0HTcGfEHS1yW9aNLGZEhXkP4lcPdJGpPh5bHL+rRJhzgkHQQ8lPCl\nOzX3LGXXJfGhid4zSSVJlxHuy3+b2eVM0f2aMQ4GFiVdImm7pN8f18CSjgSuNbPvjGvMDrwA+OyI\nx5iKZ0fmO2YcvAf4ByDq1bBg7gncKOmDkr4p6RRJm8dpwKyKnGmOsT3KzB4KPBn4mzg8M3VYiFNO\ny338AOE/w0OAXwDvmpQhsRv548ArzOy36XOTvGexXR+L7bqdKbhnZhaZ2UMIf30vxiGX9Plp+oxN\nnDhX6bttfp5GmOm6p5kdSngYfXSMYx8LvCndfExjPzXV5g3Aipl9uMix2zDxz2Ob/8ujHu8pwK/M\n7FuM3/tbAR4G/IuZPYwwc3qs4etxFQMsmjzFBSeCmf0i/n2jpE8S3KMXTdaqJr+UtLeZ3SBpH+BX\nkzYIwMyadkg6FRhrYlxq7CpB4JxlZp+KD0/8nqXsOjuxa1ruWWzLbZI+Q4j3T/x+TStm9oRO5yS9\nBPhE3O7SOAH4rmZ28yjHlvQAglj+tsKilPsD35B0SPozNoqxUzY8jxBKeVwR4/Vgos+Odv+Xx8Af\nAk9TWAR7E3BnSWea2XPGMPa1BC/hpfH+xxizyJlVT06e4oJjR9JmSXeKt3cDngh8t/tVY+U84Lnx\n9nOBcf0n60r8MEz4UyZwzxS+4U8Dvm9mJ6ZOTfSedbJr0vdM0l5JiEzSAvAE4FtM6WdsBvgU8FgA\nSfcF5ooSON0ws++Z2d3N7J5mdk/CQ+lhRQmcXijMCvwH4Egz2zWGISf27OjyHTNSzOz1ZnZA/P4e\nBXxpTAIHM7sBuCb+TENI+L58HGMnzKQnp1NxwQmbBSH/4JPxX0QV4N/N7POTMETSOcCjgb0kXQO8\nEXgH8FFJLwSuIszQmbRdbwK2SnoIwZX8M+CYcdsFPAp4FvAdSd+Kjx3L5O9ZO7teDxw94Xu2D3CG\npBLhj6WzzOyLsY0T/YzNKKcDpyuUVlghrv4+AcYdznk/IXH9wvh782Ize+moBpvws6Ptd4yZXTCm\n8RPG/R6/HPj3WFT+hDEX+p3JKeSO4ziO4zi9mNVwleM4juM4Tldc5DiO4ziOsy5xkeM4juM4zrrE\nRY7jOI7jOOsSFzmO4ziO46xLXOQ4juM4jrMucZHjDES8vs4LJ21HFklXSRpH5VTHcRxnynGRs0GI\nH/47JP02/vmNpL2H6HJa1yWaVrscx3GcMeMiZ+NgwFPM7E7xz53jkttOGyTNZDVwx3HyI+meOdrs\nM+6Vs53icJGzwZE0L+lESdfFP++Jy28n54+UdJmk2yRdKemJbfrYR9J3JL26wxhXSXq1pG9LulXS\nuZLm43PPk3RRpn0k6V7x9ock/Yukz8YeqIsk7S3pvZJukXRFvLxBmkMkXS7p15JOT8aK+3tK/Hpu\nkfQVSQ/M2PkaSd8BfhsvWeA4zjok/o45NEfTG4HXjNgcZ0T4l/jGQm2OvYGwUvqD459DgOMAJB0C\nnAG82sx2BxaBq1d1GP4S2g68z8ze1WFcA/4CeBJhxeMHAc/rw+6/iO3ci7CuzyXApcBdCKvavjvz\nGp9JWBz13sB9U6/noYQF8l4UX3sycF68MnDCUcCTgT3MLOrDRsdxxoikp8Z/9Fwp6Q2S3irptPQf\nLj04xszO6dXIzOrAZyRNaj0xZwhc5GwcBHwq9mDcIukT8fG/BN5iZjeZ2U3Am4Fnx+deSFjA7osA\nZna9mf0w1ef9gS8BbzSzU3uM/z4zu8HMbgE+DWS9L50w4BNm9i0zWwY+CdxhZmdbWHjto8BDM+1P\nMrPr4rFOAI6Oz/01cLKZXWqBM4FlWn/NWWzndfFYjuNMKWb2aeBU4JtmdoKZ/SNwEvDfku7c7VpJ\nDyasuJ53rEsJK2g7M4aLnI2DAUea2Z7xz5/Fx/dhtXfm58C+8fb+hFVj2yGCQLoW+HiO8dP5PzuB\nLXkNB36V2t6V2W/X1zWp7fTruQfw6pTQu4XwGvftcK3jONONWO2h/gHBS3twj+ueQvgDrR9ulHSf\nPq9xJoyLHOd64KDU/oHAdfH2NUCn/9QGvAm4GfjwEPkrdwDNpL4hZ3wlHJjZTl7Pz4ETUkJvTzPb\nYmYfSbX3mVmOM7s8HvgKcBmApL+V9FeSTpD0qFS7RwDf77PvbwMPL8ZMZ1y4yHHOAY6TtJekvYA3\nAmfH504Dni/psZJKkvaTdL/UtTVCvsxuwJmS2uX89OLbwP0lPVjSJuD4zPl++xTwN7GtdyHk8iQi\n5hTgxZIOUWA3SX8sqR+vkuM408X+kp4h6a3Ac4DHmVkjrpd1vziU/nZW5+5tjsPdAEjaN87r+WNJ\n75R0kKQtmT+6Es+vM0O4yHG2AV8HvhP/fD0+lsShnw+8B7iVkGCc9pJgZjXgz4C7A6flFDrNWjZm\n9iPgLcAXgB8CF7Ham5Kte9OuDk72/L8DnyeE2n6cej3fICQdnwT8Oj73nDb9OY4zO1xrZh+Jc3KW\naU1qeBowJ+lI4HHAN1LXlJMNSbsRcv3+1cw+Q5jM8B7C5IVfp67ZCczhzBRKiVnHcRzHmRkkPZdQ\n/+sv4v1XAH9sZk+U9G7gZjM7oc11nzOzJ8XbLwB+38xeGu8fRPgj6bVm9snUNX8O7GVmJ4/4ZTkF\n4p4cx3EcZ1bJeo5/Czwg3v44oexFaCgdlWp3QypMXQWuTJ3bDWikBU7MPpl2zgzgIsdxHMeZOSQd\nATyXUPzzlfHhjwLfkPRS4K7AxyS9RdKLWD2L9MuEmmAQ8hLvKumIOLS1D3CZpBdkKh0/hJDU7MwQ\nHq5yHMdxNhSS9gD+3syOy9l+E/A2M3vVaC1zisY9OY7jOM6GwsxuBW6KZ5Tm4ShChXRnxnCR4ziO\n42xE3gv8aa9Gkg4AbslUe3dmBA9XOY7jOI6zLnFPjuM4juM46xIXOY7jOI7jrEtc5DiO4ziOsy5x\nkeM4juM4zrrERY7jOI7jOOsSFzmO4ziO46xLXOQ4juM4jrMucZHjOI7jOM66xEWO4ziO4zjrEhc5\njuM4zsiRdJikH0zajgRJ2yTdKOn6MY/7AUm5FgZ1hseXdXAcx3H6RtKxwGFmdkTq2I+BH7c59gYz\n++gEzGyLpAOBHwAHmNnNIxznecALzeywUY3hdMc9OY7jOM4gfBn4Q0kCkLQPUAEeIqmUOnZvYGlS\nRkqqtDl8IHDzKAWOMx24yHEcx3EG4etAFXhIvH8Y8N/AjzLHrjSzGyRtlXRNcrGkh0n6lqTfSPqo\npI9Iemt8bqukayW9StIvJV0fe0WSa+cl/bOkqyXdEIeANmWufY2kXwCnpY2W9Hjg88C+kn4r6fSs\nbXG7qyQ9Nt4+PrbxjNje70l6eKrtAZI+IelXkm6S9H5Jvwv8K/AH8Ti/jtt+KHmd8f6LJP1Y0s2S\n/jMWhsm5SNIxkn4k6RZJJ/X/Nm1sXOQ4juM4fWNmK8BXgUfHhxaBi4D/ibeTY2u8OJLmgE8CpwN7\nAucAfwKk8yfuDtwZ2Bd4IfB/Je0en3sHcB/gwfHv/YA3Zq7dk+CxOSZj9xeAJwPXm9mdzOwFnV5i\nZv+psZ27A+cBJ8WvpQz8F/Az4B6xLeeY2Q/isS+Ox7lLql+Lr30s8DbgL4B9gKuBczPj/jHw+8CD\ngKdLelIHe502uMhxHMdxBuXLtATNHxEEzUWpY4fFbbIcCpTN7P1m1jCzTwJfy7SpAW+Jz58P3A7c\nLw6PvQh4lZndama3A28HjkpdGwFvMrOame1qM776fqVwkZldYCGR9WyCwAI4hCBQ/sHMdprZspn9\nv5zj/CVwmpldFovGYwmenwNTbd5hZr8xs2sInrKHtOvIaU+7WKXjOI7j5GEJ+BtJewJ3M7OfSLoR\nOCM+dn/a5+PsC1yXOXZNZv9mM4tS+zuALcDdgM3AN+J0IAhiIv1H+42xaCiSX2Zs2RTnHh0AXJ2x\nNS/7EMJ+AJjZHZJuJniDfh4fviEz7pYBxtmwuMhxHMdxBuUSQvjmRcBXAMzsN/G07L8mhISubnPd\nLwgP8jQHAlfmGPMmYCfwv8zsFx3a9Dtt+A6CcAKaIai75bz2GuBASWUza/Rpx/XAQalxdwPuyloB\n6AyIh6scx3GcgTCznQRPxKtY7bH5n/hYu1AVwMVAQ9LLJFUkHQk8IueYEXAKcKKkuwFI2k/SEwd8\nGRCSpTdJOkJSFTgOmM957dcIou0dkjZL2iTpD+NzvwT2j/tMEK0w1jnA8yU9WNI8IT/nEjP7Oe0Z\nJMy2oXGR4ziO4wzDlwlej/9JHbsI2Iu1oSqDZtLynxESim8h5Kb8F7CSbduB1xK8PpdIug24ELhv\nzmvXtDGz24CXAqcC1xLyf67JtM32mbyWBiEp+T6EENM1wNPjNl8ELgdukPSrbF9m9kXgH4GPE7w6\n92R1blG7Mb24XR+MrRigpNMJWeK/MrMHdmjzPkLW+w7geWb2rbEY5ziO40wUSV8F/sXMzpi0Lc76\nYZyenA8Ch3c6KekI4D5mdjAhlvuBcRnmOI7jjBdJi5L2jsNVzwUeAFwwabuc9cXYRI6ZXURwS3bi\nacAZcduvAntIuvs4bHMcx3HGzv2AywjPhVcC/9vMftn9Esfpj2maXbUfq2Og1wL7s3ranuM4jrMO\nMLNTCAnEjjMypknkwNrM8TUJQ5I86cpxphgzW3czQPx7x3Gmm07fO9Mkcq4jFFVK2J8OtQLSydLH\nH388xx9//EgNGwS3qz/crv6YVrtSxdnWHTt27hxZ39u2beO4444bWf/TNq6P7WMXyeaFhY7npmkK\n+XnAcwAkHQrc6vFZx3Ecx3EGZWyeHEnnEBZy2yte7fVNhBVsMbOTzeyzcSGmKwnVJ58/Ltscx3Ec\nx1l/jE3kmNnROdq8rN9+t27dOpA9o8bt6g+3qz+m1S5nMBYXF3s3WkfjFjW2Bqzz9ujDDhv42jQ2\nQHh21u/5rI09tmKARSHJZs1mx9koSFq3icejzMlx2lOEEJkkg4ggp382LyzMROKx4ziOswGZdTHT\niXavy4XPeHGR4ziO44yNcQuaQUTFKG3M9u2iZ7S4yHEcx3FGRtGCYRyioN8xhnmNLnpGi4scx3Ec\np1AmldQ7KTrZOsh9SF8zS/dgWnGR4ziO4wzFsKJmvT7Ms6+r3/vkgmd4XOQ4juM4fTOosNnID+v0\nax9U8Gzk+zcILnIcx3GcXLiwKY7knrjYGS3TtKyD4zjORJC0h6SPSbpC0vfjpWWcGJn19TA2adWP\n05lB71O/78lGxT05juM48F7gs2b2vyVVgN0mbdCk6fcBupHEzKhyZQbx7rhnpzte8dhxnMKYxYrH\nknYHvmVm9+rSZsNUPO7XY7ORGXWxPxea+ehW8djDVY7jbHTuCdwo6YOSvinpFEmbJ23UuMkb/vAw\nVIt29yG5j5OYRu8hrLV4uMpxnI1OBXgY8DIzu1TSicDrgDemG23btq25vbi4ONHFDovCvTbF0GnW\nVBFhrUFDWOv5/VpaWmJpaSlX21zhKkmXAWcAHzazXw5n3nB4uMpxppcZDVftDVxsZveM9/8IeJ2Z\nPSXVZl2Fq/I+MNfzg3LUdLrHw9xTD1+1p4hw1VuAReCnks6X9ExJmwqz0HEcZ0KY2Q3ANZLuGx96\nPHD5BE0aGf2GpJzB6XQPhwkpjXO5ifVCX4nHku4CPB14FvAA4JPAWWb2pdGY19YG9+Q4zpQyi54c\nAEkPBk4F5oCfAM83s9tS52fek5NX3DijocgkZfforKabJ6fv2VVxQt6fAa8FDgR+BRjwN2Z24ZC2\n5hnfRY7jTCmzKnJ6McsiZ5Tixpcd6J+iFuR0odNi6HCVAodLOhv4BfBs4B3A3mZ2MCFJ76yiDHYc\nx3GGI09YZJgidOn6LOv5AVo0nWZjDdtPLzZq6Cpv4vEvgZuAM4F/N7Nr27TZbmZbC7dw7TjuyXGc\nKcU9OZNnVJ6bojwQTosi7qnPkCsgXCXp983s64VbNgAuchxnenGRM1nyeG6G7XO9PignybBVize6\n0ClidtXn2x2U9KuBrXIcx3EKoVfIo9+QUqeCduvxATkNeMhvdOQtBljNHpBUBcrFmuM4juP0Q5He\nm1HUdnFGj0kbNuemF11FjqSL4s2F1HbC/sDFI7HKcRzH6UrRoalRr8PkOJOglyfntPj3Iwg1JJJP\nvAG/BL44Irscx3GcDozae+Pixlkv5E08/l0z+8EY7OmJJx47zvTiicejp1fuzbD9uMCZXUaReD4L\ndEs87ujJkfRsM0tq3zxK0h+2a2dmp+cxQtLhwImEPJ5TzeydmfN7AWcDe8d2/bOZfShP347jOOud\noh5gLm42Jhv1/e3oyZH0WTM7It7eTghRrcHMHtNzEKkM/JCwJsx1wKXA0WZ2RarN8cC8mR0bC54f\nAnc3s3qmL/fkOM6U4p6cEY0/Qu/NRn34rVc2oogdyJOTCJx4e+uQNhwCXGlmVwFIOhc4Ergi1eYX\nwIPi7TsDN2cFjuM4zkajCIGzER98G5XsTKuN/h53C1flqqFjZlGOZvsB16T2rwUemWlzCvAlSdcD\ndyIsBOo4jrNhGZXA2egPvvWOv78tus2uyuNFMfLVyskTX3o9cJmZbZV0b+BCSQ82s99mGx5//PHN\n7a1bt7J169Yc3TuOUzTbt29n+/btkzZj3VFE/o17bxyne07OQXk6SEJQXQeRDgWON7PD4/1jgSid\nfCzps8AJZvaVeP+LwGuzy0l4To7jTC+znJMT5w5+HbjWzJ6aOTe2nBz33jhOfwyak3NVgTZ8HTg4\nFk7XA88Ajs60+QEhMfkrku4O3A/4aYE2OI7jdOMVwPcJ4fKJMEmBM+z6SY4zjXTLyTnFzF4Ub5/V\noZmZ2XN6DWJmdUkvAz5HCG+dZmZXSDomPn8y8Dbgg5K+TVhT6zVm9uv+Xo7jOE7/SNofOAI4AXjV\nRGxwgTNSGtHwEYByaf3en/VKt5yctBflJ4S8muw7nPtTY2bnA+dnjp2c2r4JeGr2OsdxnDHwHuAf\nCDM7x84oBE6/eTvrTeAUIWry9OnCZ7rpFq56e2r7+LFY4ziOM2YkPQX4lZl9S9LWTu22bdvW3F5c\nXGRxcbGY8YcUOMN6b/K2nxXyipu8EqjXnUmP54JnPCwtLbG0tJSrba5lHQAkPY6QR7MvoaDfR8zs\nC4MaOSieeOw408ssJh5LehvwbMKM0k0Eb87H06H4USUeu8Apjm7iZhRPjF53zQXP+OiWeJx37apX\nA68FPgj8HDgQeB7wT2b2z8WZ2hsXOY4zvcyiyEkj6dHA349jdtUkBM4gIa1pp5O46XR3hw1jdRIv\n3e6kC57RMtDsqgyvBh5rZt9LDkg6E/gCMFaR4ziOM2Im+leUC5x85BU37do1BnyHy1rbXyJg0kez\ndza5xsXO+MkrcoyQfJzmp0CeaseO4zgzgZl9GfjyqMfpVeyv32td4PQWN2lhM6gzJzJYo1PaiJ5O\ngsfFzvjJu6zD8cCpkt5MWJ7hQOA44E0jtc5xHGedMUyYygVOb4GTPt9J2DTa3ccuwid9yxoG5Q73\nMO3pyXp4XOxMhm4Vj/N4aczM8izrUBiek+M408us5+R0oqicnKLzcFzgtBc47cRNWtikb0u/OTpp\nYZLczrToKTWPdbimR59O/wyak3OvEdnjOI6z4XCBUzzdBE5W3CS3I2kXtbm2F+WSiOK2pdSxulnK\n29PmPqc8N+7ZGS/jWtbBcRzHaYMLnHxkhUgvgdNO3EQd2rfTn8n1aS9NPbKU9yYeKz6XiB4rBQ9P\n27BWDrHjQqdY8iYeI+lI4NHAXQnvpwHkWdbBcRxnI1N0onE/7bsJHJnNhAAaRuBkxU1a2CTt2oW0\nEmqp0RLRUlIoqlSWmsInLXpKZD08+cWOe3WKJZfIkfQm4CXAucDTgX8Fngl8ZHSmOY7jzD7jTDTu\nV+DMOnkFTiJuLCVmsm1rqUSeWrQ2JbVaav5tTzVWNJJRllaJnoYZZbXEDrS8Oy52xk/eYoA/B/7Y\nzL4r6VYz20PSIcA/ZotmjRpPPHac6cUTj9tc2+H7qugw1SBt14MXpx+BkxY3ibBJBE1k1hQ67Tw6\n0PLkJCKnJFEtlaiWFXtzguApS6vCWuWSmt6dpF24vtUGWoIm+6640OlOEcUAdzez78bbK5LmzOxr\ncXVQx3Ecpw1Fhqncg7OatPhJ66BuAqcWrRY3ibBpxL+j+N7UuiQiV0uCWixwyqIcT0SulsV8uRwL\nnpaHx9p4d9p5dpLp5+7VKZa8Iuenku5vZpcDlwMvkXQL8OvRmeY4jrM+GSRMVUTfs75mVfaupKeK\nJ96ZPAJnudFoipvlekQtMmqNqNlfvRGt6T8h8bpUyiXKgmq5RLUkSnWxqxxRlpivlJoenkqJvsRO\nNoQ17YnJw84aHDV5Rc5xwF7x9uuADwNbgJeOwijHcZxZp0iPSRGemVkXOGnyTPluJ3B21BpEZuyq\nR7HYiZript6I2NWImlPEE2/OSmN1fs5cOWTaVEuiVArhqrJaomdztcyuesSmSmmNd6daUlPszJUF\nsWhpYKtmY/Xy6kyD0MnzuZuGz1zuVcinBc/JcZzpxXNy4vYFJhsXEaaahofNoKQFjWWONWx1Lk69\nsdqLU49CDk49sqYHJy1wdtWjVeLmjlqDRmSs1KPmOMl2wlwliJxEaCzMlZlLvDklsalcolIusalS\nYr4chE7YLseenVbeTqXUPl9n2nN1RuVpHJQicnKQdF/CzKp9geuA/zCzHxVjouM4jjPqh8esCZx+\nyN669EyqJAen1rBVAme5HrFcb1CLjJ21Biv1iJ0rLaGznBI7aRJxMV8pMVcpUS6JuUqJhbkyC9Uy\n1ZJYrpSZrwSxs1yPmK9EGbETRFrFaIawqjm8OtMevurFuJPe804hfybwb8BngKuBBwHHSjrGzP59\nhPY5juPMFEXmKBSRX7NeEo37IT3jyprbFs+uCvk3icC5o9ZoCpudKw1+u6seRE4jisVOo2N4LIib\nMuWSWKgGUbMwV27+7FYtN8VOLfYm1SrWDGPNVcL7Ft6/MEbi1WlkJc2Uh6/6ZVw1mvJ6ck4AjjCz\npeSApMOAswAXOY7jOEPSjxjZiHk4eWmFslbXvUm8OLUoSTYOCceJuNm50mDHSiP26ITtlXq0KmRl\nKbGjWFgkHpz52KOzMFdhoVrmTpsq3J4InmqZLXMV5isllhshjFWrGPNRic3V8hqvDnQWOsm59Jlx\nz74yqRDxPA6hk1fkbAEuzhy7BNitWHMcx3HGj6QDgDOB3yH8Sf1vZva+Isco0ouTp91GFDjdSHtx\nGgZR7K1JvDiJwNm5Uue3u+rsXGlgkdFoROF3PWynKZdL1Cpix05RLpdQSSzMxQJnOYidPTZXWZgr\ns7PW4M7zFZYrZTZXS0RWbtrUzqvTaQbWtISvZkXo5BU57wbeLukfzWynpM3Am4H3jMwyx3Gc8VED\nXmlml0naAnxD0oVmdkU/nQz6pT9osvGwD4dZKgo4CK1lGyx1LPxOvDgr9Yjf7qrHgqclcOq1BvWV\niHqtkRI6ayshlytB3CQipzZfZseuOvNzQeDsrDWaYmelHrEwV6YWVViuR2yZrzRDWGmvDrSfgTWN\nQgeGD4mOUuh0FDmSrskc2ht4RVwfZ8/42C+At43EMsdxnDFhZjcAN8Tbt0u6gjDJoi+R07H/gr7A\niwxTrVeBUy6JRrsCN21IwlHJz3KceJwInOVdNSyyIHTqRlSPVgmmhJJEqVKiUi1RWy5RqZZZrpZZ\nXmmsEjtbdlXYY3OVRmQsVMs0LCQvZ706jYpC0UF6h68mLXSgGLEzKqHTzZPz7BzXb7yMNsdx1jWS\nDgIeCny1r+vG4MXJ064fgTOrlEvqWSunLBEJ6u0W3WyzNtVKPeTgWGRND059pUG9FhHVw34UGVGq\nlk5CqSRK5VL4XQkip1ItUa9Vm2Jn86YKOzdV4pBYg903V1lpRNxpvkK90fLqMA9Qbj6d0+Grakro\nlBR7paYoIbnd563fXLOihU5HkWNm2wsdyXEcZ8qJQ1UfA15hZrenz23btq25vbi4yOLiYq4+x+3F\n6YdZ8OKkBU1rDlKLUpyv0ujyN3cp8zqrpRLLrBU6jTgHJ/kxs6bACaJnmai2gkUNAKL6Sui/Mhds\nnV+gVJkLImeuTL0WNcVOPRY3y7H3aLkeNT1Jd54Pj+JaXIMnCV/tNlcmaubjtGZfUU6OxaQETTYh\nedIzr9KfsbwFBHt9LpeWllhaWuraJtVfjkGlOULV42cTXLjXE2ZWbTOzlVwDSYcDJxLenlPN7J1t\n2mwl5PlUgZvMbGubNl4M0HGmlFkuBiipCvwXcL6ZnZg517MY4CALcfazyni/Hpr1FKbKWxDQrJVr\nU4/Cdj0ydtSCuNhRa8Q/Ebev1LltZ43bd9W5dUeN23aucPPtK+wl5IENAAAgAElEQVTYWWN5Z53a\ncp3lnXXqtQYrO2vUV5ZpLO8kqgeR06i3xA6ASmXKlTlUKlOqzFGeX6AyN8/cQpVKtcz8QoXqfIX5\nhQqbF6rcdcscuy/MscfmKls2Vdh9ocqWuQqbqyE3Z3M8JT3k6YTwVbZ4YCUWMKG4YLCjXeHASQud\nNHmETr+fzSKKAb4TOAQ4Bvg5cCDwRuDOwN/1ulhSGTgJeDyhkOClks5LJ/VJ2gP4v8CTzOxaSXu1\n781xHKdYJAk4Dfh+VuDkur6gP7xGHV6a9TBVHkpAgzAjqaTwu1oqEZWNUr2V51KNC/ilaScGojjZ\nOKqtENVXqK/sxKJGcx/AogYqlakRvDql6hyVlQUacwvUVxaYW1ggqkc04nCYxQnPST2eZBugFv1/\n9t49TrKyvvN/f+rSPTMMAooryCV4QU1MxGhENv5sJ2qUECNJdqOQeEPXRY3mohsVdXWi421zERN2\nDSugggl4T0wUjVHHJq4oKngFFQ3KTe6DM0xPV1fV9/fHc0736eq6nKo659Sp6u/79erXVJ3znOf5\n1umePp/+3p7KanJ0nDi9rV6NrFmfkAzpKq/K4NGJSVOVlWXYKq3IeQZwgpndHr2/RtLXgW+SQuQQ\nBNK1ZnYdgKRLgFNZn9T3+8BHzOwGgMRajuM4efM44FnANyVdGR07y8w+Nc6keXhLsigZnyYvDnQP\nWSWPdYasqpUgAizKy6lXYaUddg2vV4OIqLTaVCta/ZqrVYEVqtXKhvXjHBxrt7B2i+bSviB0mivr\nvDkAqhygUqvTXmlQaSxRb24Pguigg2mbYRZCYvNN41ZYDV/FbN/S/bEcC516RTRaw1delUnoFEnq\nbR3G5CggWa11A/DYjjHHA3VJnwcOBt5pZhcVZJ/jOJsYM/t3onSHohg14Tir9WaFqli3W3gscLp5\nc6pqh0Z8rTb1SoW5amjkt9RosbQSPDtLUTl4syKqtd7fk1jgtFY2hq1YXqLWXFkVO9X5rUEUtQ+J\nPDq22lgw2WBwuUuJepJZETpFenPSipwPAR+X9EbCtg7HEXJ0PpTy+jT/u+rAo4AnAduAL0m63Mx+\nkHINx3GcmWNadnvOmyy8OfWqaFnw5lSb7dWQ1da5KvsbLbZFgqc5V6G5UqEZlYZXVqI8l0p1g12d\nScgQQlYrS/uozW+l3VxZPdduNmgfdAjt9tbVsZ0NBvlZ//swjNBZtZHyCZ2iSCtyXkkQNeewlnh8\nMbCr30UJbgSOSbw/huDNSXI9Idl4CViStAicAGwQOTt37lx9vWPHDnbs2JHSDMdxsmT37t3s3r17\n0mZMlFESjkdl1DkHiaBpFElJoUO063hML2/OfLXKSsuibRVC2Gpr22jMtdk2V6XRqrF1LpSS1+qh\nqqpWr4YKq/ocrcZSV6GTzM0BVsc16S6MOlmuVtiTeD+/v7tTMd60Myl0Wm0LH7Bt1CJls+ocKnHV\nVVEMrK6SVCMk5J1pZgdGWiTM8T2Cl+Ym4CvA6R2Jxw8jiKinEjoFfBl4ppl9t2Mur65ynJIyzdVV\n/ehXXZVFVdW4HY4HVUz1m2OYCq8ykGWl1d5Gi32NJnuXm9y5r8Ge/Svcec8ye/avsPeeBstLTQ7c\n06Cx1OTA/gaNe/bSPLCPZmOJlXvuptU4QGulQasRfjY25ueESitVqtTmt1Kd20L9oEOY23ZI+He+\nxtzWOlsOqjO/Jfx7yLY699k+z6Fbw+t7HzSXuuqqXhFSEEOxhqmqe8UVTLbqKssqq7Gqq8ysKekp\nhIT1kYjmeCnwaUIJ+flmdrWkM6Pz55rZNZI+RUhmbgPv7hQ4juM4m4lhQ1WDzs9CQvIwYatKdKBl\nttpBeFu9GjoLW9gZvNmq0K5XaW2rAwnBFFVBWbse+uVYnXZ7+2r5eHVuLeQUkpC7d1NpNxtUanOr\nScut5SVaUV8dOIRKrcLKchRiqom7CV2QIWz+eXdlJRpbiz5fGFuvVIKXyiA007HoeP+Ggcnv8Gbw\n6KQNV70DeKOkN6Tti9OJmV0KXNpx7NyO938J/OUo8zuOM1tIejDwaOBoYA64E7gW+OKoXuVpJk8B\nMg3iphdpwlZz1ZC/kgxbAVGH4agRXxS2OjTqRHzotrXdx+O8mVBOfggAnQ/CJhvDVklaKw1UqYYw\nVhzOWtpHo3IwFQlJLC81UUXs2b9CtSL27K9ElV8V6hWF0vdqsKVebbHaGbkCsvBZ4x46SaED5djr\nahKkFTl/BNwPeLmk21jzEpqZHZuLZY7jbEokPYfQU+s24BvA94ElwtPl54HTJf0MONfMvjcxQ0tA\nFl6aaRQ4/bZ1WEu4DQ/6WOhUBatP/BpAlZVa1JumVmG7dX8c3vozmG92rtVd6LQq1Q1encqq1yYQ\n99ixuVZUcRX2xqrUKlRrLZqNKsvVFvsbLeZqLfbsX2GuFsROpSJqkfCqRz1/6tUabYNmlJtThaE3\n9SyaIiv90oqcZ+VqheM4mx5J2whFDp8wswsHjN0CnCbpYWb2T4UYOARZ5ONk8SCY1bJx6B+26ip0\nICTsJITOdmoEH0zy30AjUc59KyGUtD96X6lVqFQODd6Y2j6a9blVL421W7S6JBtX60HsxInIccir\n3WzQjpKbW9EWEtWaWGq0mK81qVbC62pFzFUr1CttqoLlpqhK7F9prebnmLEuEXnaSsvzIJXI8X2s\nHMcpgEMIW8U0Bw2MwlXvlXTMoLGzwDR6W4pgVKFjUuiKVIP5dlzJtFHoJDsi74kqnparFSSFncer\nh9Coz6F77l5NMm43G1TntqxrFBgLm0ot5P1U6uu9O+1We12jwFbTWG602FsRW+dq7D3Q7BK2qnCg\n2aZeFSst25ifE3t1ErRs8qXlaYV3oR2PJc0TSshPZ62E/BLCL6RNFxt3HCd7zOzmbsclHQHcGecD\nStpmZvuja67vdk1RTIunpJ+3aNoF1LBCJ/hnLIiBChw0V6VeqdDLowMwV62sVShVhCqiWqtEHh2F\nvaqW9tGaW+q67UOS1c08O8JYAK2mUasnNgltG0uNIHAObtdoNNus1I0DrTa1qM/PgTh8FYWtwFLn\n52xYfwY9OmnDVe8CHgK8jLW9q15L6GR8Rj6mOY7jALAPeFrUPuJjwGnABRO2aeKM29smvr6b0JnG\nTTxjBgmd+upDPBIDsBq6Csm8Ibk3ub9VcuuHPXNV9lQbwaMTdUWu1as06lWaK9uD2GksYXMbN/GE\n9Rt5Duqh02i2WW622dq2Dd6cZqvN/pVQbVWVbQhboVCmPGx+Tp5Cp2gvDqQXOb8NPMjM7oref0fS\nl4Ef4iLHcZx8ORx4NvBwSW8BrsJFzkD6PVA6z/UaOy1ipzMROY3QqcCGHB2owvxaUi9AZVXgVJiP\nqp3maxX2zK2wf67C8lKVWr1JfUuVlQMtGvUq7dbBNBvLIcG4S3l53DunUp+jNjdPJdovK7mNRHK7\nh5hWtLHnSj1UkYW+QEbLjLbZurBV7M0ZNmw1abL+WUsrcm4mbLVwV+LYVkLYynEcJ09eDLyFUG11\nEHDkZM3Jn7KFwaYhrDWs0OmWjFyth008Q8gqeHL2Nlqr+1zFYid+vXWuyt31FVaWqzSWW+vETrNe\npd3eGvJt2tZV6FQqolKtUJurrva/URcvSqPZolVfkyqNVpuVdptqK+xaXmkZVRkVtalblbYRkpAJ\njelaHd6csoat8vgZSytyLgIulXQOYfuFY4GXABdKeuKqgWafy9xCx3E2O4tmdkX8JuqfM5WUTbzE\nJB8u0+zVGVXoxPIh/ujb52pU1Io6B4t9alJVbd1eV9vmquxZWgn/7l9hf71Jcz6Infp8i2ajRXOl\nTbsZkorbzY2P20qU2FyrV1fDXtVqhWoUCutG/PnabYMq0Waj68e2zKgY1LS27UPSmxPfoqLDVv02\n5szr5yqtyHlR9O9ZiWOKjr8ocewBWRjlOI6T4JHRZr13RO9X+o4eAUknA2cTnnfnmdnbs16jG5MS\nDPHDptv6g0ray77PVfxgHqrqKmoYGK5R1DQwJCTXqy3qVbGv0aJWrTBfq7Kv3lz15OzZv8LWuRr7\nDqyw90CTpfkWzZUWzUYoB2+12jQbLeLtiFqJnjtxeEoKicxrSc1hJ/S51c7H6wNOyW0sVo8lQlZz\nNfX15sR7YE0ibNUpdPL+GUpbQn5crlY4juP05j3AJyV9jdDx+D7AJ7OaXFKVsG/ekwmbCV8h6ePJ\nvfWmmayaAMbjkw+oMu97labqqqIgBqQ1L04yITkOX8Venflqe9WrM1+rsHe5yda5KvsONNlar7J9\nS4ulRpM9+1dobQ1l4M2VFq1mqJiytm3cdRxWPTfVamXVo6MoF2i+1n2zzphWtEdXZ8gKBeHTz5sz\nqbBVkT8jaT05juM4E8HMborC4s8E6sB5GS9xInCtmV0HIOkS4FSgFCKnLKIhppvYSVKmsFYvoQOs\nbgGR3OsqTkjuDF/FZeaxVyfe4LNeqbBcb7F1rsr2LTX2HWiy90CVrXM1lhpNWlFV1FKjtSpwuiUU\nx8RCZ36uGsrGt9RWK7uSYiON8GiZUdFapRWM5s2Z9rJyFzmO45QCSQ8ATjKzizvPmdk9dFRUSToc\n+B0ze/eYSx9FyDWMuQF47JhzzjzTEtbqFDqwfq+rNbqHryTRbG/06lQk6tU2B5ohhJUUO0uNFkuN\nsDXD9i31VcGz3GzTaLZX7Ul2VY5DU6uVXLU4ubnGXHXtfRrBEYesYlrGhgorSOfNmXZc5DiOUwrM\n7D8UeDtBaHwO+K7Z2tNS0naC5+WJwO3AO7NYOs2gXbt2rb5eWFhgYWEhg6UnQ57elm5zpt3KIi/S\nJiR3hq86vTrJXJ35WuhhM19ts1xbL3bumWtFjfyC2Gk06+xvtGhEDf4azdA7p9v+W3E/nvj11nqV\n+SjZea5WWa3uqkSdj/vRTnhpum33MK3enMXFRRYXF1ONlZU0278XUUOwSZvhOE4XJGFmY/82lHQC\n8DTgMYT2FVVCXe9PgS8AHzWzPeOuE611ErDTzE6O3p8FtJPJx5Js/9LSxmuHrBQZZd+qUcf0EzLD\nVHmVIeyUJUlhYV2Oh94zIdwT7wXVjs63LGyEGZ9vNI3lVouVlnGg2Wa51eZAs02z1eZAK4igRqvN\nUqO12uNmqdFiOd7dvE/oKs7HiZsRxlVd1Yo4qF6lUhFbIg/PtnooQd8SeYDqlQpztbC3Vb0ipCBi\nqnE4bvXYWjl5LHJWOzt3saesbNu6tefvnaE8OZL+E7A9eczMfjSGbY7jOBsws28QdiAvgq8Cx0s6\njtD765mELWwG0q8ktiyM2+Nm0l6YrOkXvkrj1akKmu3QcC8OYa20jHq1xZZWJXh2Wm3mW22Wq21a\nBsv1FittS3hy1v6F3h4dYJ3I6RQ4tWqFetRIsD7IrdODZMgqSdm9OWlJu3fVycD5bGzCZXQP9TmO\n4+SCpBeZ2d9lNZ+ZNSW9FPg04ffZ+WWqrCpbI76y5NqMQ7/wFdA1V6dW1ZrYqUCjtRbCqlU2ip2W\nhRyclbZxoFmh2WpHlVChOWBS9MTEoie5Meiq2KmG7RySAicpyGBN6IwieDpDVrNCqnCVpB8B/wu4\nMN4Yb1J4uMpxyktW4arEfM8D/gg4LHH4vma2vfsV+dArXAXDlVGPEq7qNS5tuGrQ+TRCZRRv1bQI\noE4vinUcj3vR9AthmcV9akI4a6VlQcxYCGOttKIeNm1bDWfF88aipx+VSOjUK0HYxAKnXq0wX61Q\nr0ahqaqYr1apV9fCUf3CVTBcyCp5rkxkEa46FDjX1YXjOAXzn4D/bGbL8QFJb5qgPWPRGd6atJcm\n7dq9NvDsx7SEuYb16qCNIaxWO/TWSXp25lbft2jXgvBpmTFfrawKnpVWG6iEXJ8u/XOS1OL9rSJx\nU6/EFV5rAqeSuMdJ8TIqRTQHzJu0Iud84PnRv47jOEVxU1LgRPzLRCyZMcYRHf2uHdQ/Jw97xqVb\nl2To1Sk5GjFI7EQJzAfNVTFjzbuTEDxQXfXyQJWVAR6dePuGZHgqKXBCL581L42TXuT8Z+CPJb2a\nUN0QY2Y2vXWUjuOUnW9L+gDwPUKHeoDfAE6anEn5Mw0Jzb1IG4LrdX7SYie9Vyca0UXsALTaRKEs\nhc7DCe9OLHiAVdEDRMInsNJav1Yyz6aaEDmrgichcGIvTlVroaqsmLYE5LQi5zy6dxmdzv+FjuNM\nCy8HvgjcHb1X4rXTh0FCqWhRUdZwVSeDvDrAQLHTalvoY8N6706djYIH1oueML2xpc/TORmWisUN\nsKEsvPNz9d8gYo1pEzL9SLt31XtztsNxHKcbnzSzS5IHJF01KWPSUkSuTVLEDFqv3/lOsTMtuTR5\nk4XYqbI+lAVsEDxtW8vhAdYJn34khQ2seXdiD058rtOLs257iBTf22nPy0lbQi7gDODZhBboNwDv\nB97jyciO4+TIbZJ+A7iGEK4ScCbw4olalWCaQ0tJRsml2QwCqFsIC9KJnZatLz2H7oIHQg5Pcqpa\nRevCV11tS9z/SofYSQqcYbw4aZgmT0/acNVrgOcAfwX8BDgW+DPg/sCuPtc5juOMwyWEjTJbiWM/\nT4lEzrCMUmGVh2coC3GW5vpZEEKdXh0YQuzAuj47sXcHNgqemPi2xt6evrYl7m/yVncTOKul4dP/\nLUlN2j451wFPMLMfJ479HHCZmR2bn3ldbXHnkeOUlBz65DzHzC7sOPZMM/tAVmuktKNnnxwYrldO\nt/FZbO+Qx/lJe6jKKpC6dSi2HudbHR6aWLTEtzYe2+5zbVqSoalY0PQSOMnwVuf1nV6asvfL6dcn\nJ60HaxthM7wkdwBb0hoh6WRJ10j6gaRX9Rn3GElNSb+bdm7HcWYHSa+PX3cKnIgHF2jO1JC2eqkT\nk3qKifjcsF9ZMWmR1Ytuu4GLNTGQPF+NwkYVreXLVCVqUUO+WjWMrUcel3r0uloRc9W1r3ieXl9z\n0TzxV4XBAmfdZyqPZsmUtJ6cC4GDgbOAHwPHAW8G7jGzZ6e4vkooAX0ycCNwBXB6Z+v0aNxngP2E\nfJ+PdJnLPTmOU1Ky8ORIugH4f/TOd3zsJDzI/Tw5ML2dj53xGcWzA+ujW8mwVPLb3m8Tz35sEGFd\nBE43L07Xa1PMP0my6Hj8MuBvCRvm1YEV4IPR8TScCFxrZtcBSLoEOJUQa+9c58OEnYcdx9mcXAd8\ngo2/W+NCj/sWbVDWpM3LSZM3M2jMrCRGl5nUOTvQJW+n84qQwxMT5/KMQuePVFYCZ5pIW0J+N/Ac\nSWcAhwO3m1lrwGVJjgKuT7y/AXhscoCkowjC54kEkeP/Kx1nc/JOM/tQr5OSflakMdPEOKXkzvgM\nEjvJMUBPwRPvgJ6cZFACck+buny/ewmcWaSnyJF0XMLz8sCO0wdJcU2//SjFOmm+O2cDrzYzi0rW\ne976nTt3rr7esWMHO3bsSDG94zhZs3v3bnbv3p3pnP0ETnT+o5kumCNZi4pR50vbGDAe2+tcrzHO\nevqJHdgoeDq3jWgZXRr6jXfPuzYI7PT0pPTilClUNYieOTmS9prZwdHrnjuHmdnA5GVJJwE7zezk\n6P1ZQNvM3p4Y8yPW7unhhLycF5rZxzvm8pwcxykpWVdXlYU0OTlQjiqrXmOGFTJlZtpEVq+8mm5H\nu41NU2UVX5ZGf3Tz3nQTLtMickbKyYkFTvR63D5CXwWOl3QccBPwTOD0jvVWvUWS3gP8c6fAcRzH\nyRpJfwE8DWgAPwTOiEL0pSQLb07nHNOQt9NP3JVd9HTz7EB/707Mxs1Bo+Md365BuqNXWKqXYJkW\ngTOIVOJF0t/0OH52muvNrAm8FPg08F3gA2Z2taQzJZ2Z1ljHcZwc+Ffg4WZ2AvB9QhVpZgzTMbhf\nmfcgkmNGESy9Ep/L8jWM3WUlWeLdiRJfva5ZvyXDcF+9bOnG9NzRwaQtId+b9Owkjt9pZvfOxbLe\ntni4ynFKyrSHqyT9DvBfzOxZHcdThaugmJBVr3FZhLWcYhlUIp72aTdonjQemEEjyurFGbmEXNIL\n4nGSng+rO88DPAi4LTMrHcdxJs/zgYuLXDBtqGjYcvJxytKd4kgKh25CpVsfhUHzDEuaK8sqcAYx\nqIT82YR7Wo9exxhwC/DcnOxyHMfJDEmfAY7ocuo1ZvbP0ZjXAg0z+4duc+zatbZN38LCAgsLC+nX\nHyJvJO3YNCJm0JhpyGdJMmw4b9o+X6/cnSTdPs2wknWYO1JGcbO4uMji4mKqsWnDVW82s9eOa1gW\neLjKccrLtIarJD0PeCHwJDM70OV86nAVjFZ2nTaMlFVIatCeVkUxjlep7J8tC0bteDwuZRQ3vegX\nrkolctZd0NHDxsx6lpfngYscxykv0yhyJJ0M/BVhE+LOPfriMWOLHMgmN6dzbFFl52VgFkTLuOQt\neqZJ3MSMLXKibsTnAE8ADiHRxNHMqlkZmgYXOY5TXqZU5PwAmAPujA59ycxe0jEmd5HT7bpxk4fH\nETpFCxwXMKORheiZRmGTJIu9q/4OWCJsufAFgth5A3BpJhY6juNMCDM7PvM5eyT3ZpUjkibvZhSy\nEjYuWIpj2gVK3qT15NwJHGtm+yTdbWaHSLo38P/M7GG5W7neFvfkOE5JmUZPThqG9eRAsd6ctOPS\nztVtbJnzXNLeay+fn036eXLSdjJuRl8Ad0n6T8A9hI03HcdxnA6GERRZzJ/mQd9vzKCHfpoxRRBX\nhSW/ksxaA0FnPNKKnK8AvxG9/jTwAeBjhO0aHMdxnIwYZl+ptA/rtLk2ZXn4dxMy3QRNTBphkxzr\nbB7ShqsOBSpmdqekbcArgO3A2WZ2c842dtri4SrHKSkerupybc5hq86xWY3LUwyM680a1bZp65vj\npCPTEvJJ4yLHccqLi5wu12YkcgZdUxahk2VVVl4J1Zuhv85mYuycHEnzkt4k6VpJ+yX9QNIuSVuy\nNdVxHGe2GDU3Z5wHbdqQ1KBx/UJEw4STBjHsppxp6Jez02u8M3ukLSF/F/AQ4GXAT4BjgdcSEo/P\nyMc0x3Gc2WDUkvLO6/qNH3VsGo9NFgKgCO9I1vlLzvQzTAn5g8zsrsSxewM/NLPDcrSvmy0ernKc\nkuLhqj5zjBi26nbtpDonp6FIkZCVN8xLy6ebLErIbwa2dRzbCtw0jmGO4zibhSzDJMN4LMYNXfUL\nHWUdYupHHpVW8bzO7JI2XHURcKmkc4DrCeGqlwAXSnpiPMjMPpe9iY7jOLPNsGGrQdeME7qKj3Ub\nN2hMVgwjPMaptBpmLk9Knk7Shquui14mB6vjPWb2gMws622Lh6scp6R4uCrFXGPkjQwTihp2/LBz\nZ0XR4bBhxU3nNS5yysfYe1eZ2XGZWuQ4jrNJ6ZWEPMq1k0pcHpVRPncWNoyTD+VMN2nDVY7jOE5G\njLOBZ95CJx6T1p5+TErUDFp71HwdF0XTRyqRI+n6HqfMzI7N0B7HcZzCkfQK4C+Aw83szonaMmGh\n0zk+7xLzLIVDlltWjCJwPG+nfKT15Dy74/0RwJ8Al2RrjuM4TrFIOgb4deDHRa7bL2xVRqETH0sz\nd785sybrporj5uxsFka5T5Ng5G0dJB0BfMrMHpmtSQPX9cRjxykp05h4LOlDwJuAfwIe3c2Tk2Xi\n8Ya5x/Q+jONxSHvNOOMnkdeT1XYUed3/aSbPTt2jkkWfnG4sA7lXUzmO4+SFpFOBG8zsm5OyYZiK\npzTX53FNt/GDxFmWfXPSbBsx6pq9tn4YReCMut4sUbbPljYn502EcvH4u74NOAW4NCe7cuO0557G\nngN7Nhw/dMuhXPI+j745zqwh6TOEEHsnrwXOAp6SHN5rnl27dq2+XlhYYGFhISsTcwldxceHuWbQ\n+OTcadcZlTzDX5NKSs67ei1vyiJgFhcXWVxcTDU2bZ+c97K+J849wFXARWa2PIKNIzNuuOrkZ57M\nzz3r5zYc//H7f8ynPvCpcUxznE3PNIWrJP0i8Flgf3ToaOBG4EQzu7VjbG7hqtU1cnjwprm2DGGa\nIpr/DVonz3vc7boi7nHWeTNpv09Fi7cs+uQ8LwtDJJ0MnA1UgfPM7O0d5/8AeCXhr6m9wIsn6UZ2\nHGd2MbNvA/eL30v6D3rk5BRizwBvTjxm2DlG9dCkWSt53TBenaJLy7OquspK4Iy6VpHXjzpf2bxT\nqXJyJL1a0mM6jp0o6ZVpF5JUBc4BTgZ+AThd0s93DPsRsGBmjyAkAv7ftPM7juOMycR98VlU8XSb\nY9Q8nbTXJa8ddN2wXptRc3sG5fEMM2+veUYVOHkLgazu/yyQNvH4T4CrO45dDfzpEGudCFxrZteZ\n2Qqh/PzU5AAz+5KZ3R29/TLBfew4jpM7ZvbASffIgXyFTpoE46zFTudXv2s7v0YhbYLyOHONk5ic\nl+enDJTNiwPpRU4daHQcawDzQ6x1FGFzz5gbomO9eAHwySHmdxzHmQmyEjrjeHVGqdrqt26vcVk8\nGIepvhpmzl7zjHq9C5ziSdsM8OvAHwLvSBx7UXQ8Lam/c5J+DXg+8Lhu53fu3Ln6eseOHezYsWP1\nvVdPOU5x7N69m927d0/ajJmkW65MkrTVOaPk6fS6dpi8m0H2Z0EePVvGFTe95hhXBIwjrrK0o6g5\nsyKtyPkT4N8kPYuQN/NA4EhCl9C03Agck3h/DMGbsw5JjwDeDZxsZnd1mygpcjrZc2BPz+qpNLhI\ncpz0dP6R8ed//ueTM2ZGGbe8PJ4jHp+8Nnkuj2s7x2RVQl2kuBlmvrIlC+dNmcVNTNrqqu9Iegjw\nNII4+QjwL2a2b4i1vgocL+k44CbgmcDpyQGSjgU+CjzLzK4dYu7MGFckOY7jZE0WQqfXPFmInTTX\ndxszjO159c3Js/JqmHnKILKGYRoEDqRvBng0sN/MLk4cu7ek+5vZTWnmMLOmpJcCnyaUkJ9vZldL\nOjM6fy7weuAw4F0KN3DFzE4c6hM5juPMIFmUmCfHjBPC6jKW/LgAACAASURBVHV9WhsGzTUsk2wK\n2G+eLIRAlmJinLmmRdR0kjZc9Y/AGUCy8uBoQljpsWkXM7NL6eiSHImb+PV/A/5b2vkcx3E2E/2E\nDhTn1UmOmaTYydpzM8qceeXwDMu0hbqKIq3IeYiZfavj2LeAzj43juM4To5klZDcb66scm66jUk7\nVze7hpmrk6zDXWUJc6VlWj0x45K2hPxWScd3HHsQcHvG9jiO4zgp6PfQStvbJjnXqL11hplnFE9N\nVr1z0qyTxXxlm2ezk1bkXAB8RNJvSfoFSU8nJB+fn59pjuM4Tj/S9NMZVqRkNU/WgmcUsu6dE8/Z\nb76i50nDZvXiQPpw1duBFeAvCbk41wPnAX+dk12O4zhOCtLks2QRwkoeGyXfptucne+zfBhnLSKy\nzOXJUuC5F6c/aUvIW8BfRF+O4zhOyUiTlByPSztf8rpucw0zX7exeYieohKLyzBfXmX1s8RAkSOp\nDjyL0PjvPoQ8nM8CF0V7UDmO4zglIK1XJzk27Zy95h3FuzPs3FkxSwInDZtd4MCAnBxJhwBfJISr\nGsCVQBN4K/Cl6LzjOI5TIvLaI6lfDsu4uTZZJBhnRdG5PPGcWc7nBAZ5ct4K3Ab8mpndEx+UtB34\nIPA24MX5mVcufMsHx5k9JL0MeAnQAj5hZq+asEmZkIdXp3PuXvOPGs7qtUavuceZZ5S58wifjTKv\nh6nSM0jk/A5wUlLgAJjZPkkvAS5nE4kc3/LBcWaLaDPgpwOPMLMVSfedtE1Zk6fYSTN/FoKn23p5\n0CuvaVr22Bpn3lllkMi5F1020Yy4MTrvOI4zrbwYeGucX2hmt03YntwYRuwkxw87f7818qymyorO\n+1QmIeICZ3gG9cn5EfCkHueeCPwwW3Mcx3EK5XhgQdLlknZL+pVJG5Q3afNJssqvSbNGkb1z0jCq\nHWk+w6j5PC5wRmOQJ+evgAujjTU/amZtSRXgvwB/C7wmbwMdx3HGQdJngCO6nHot4XfgYWZ2kqTH\nEHINH1ikfZMi7X5R43g0ul2Xdr1+c+RBWu/TsIxre9r1XeB0p6/IMbP3SroP8B7gYkm3A4cDy8Cf\nm9kFBdjoOI4zMmb2673OSXox8NFo3BWS2pLuY2Z3dI7dtWvX6uuFhQUWFhbyMLdwhhU7yWvGWa/b\nvGnWHjTfOHONQ9YiI4tO1bPK4uIii4uLqcYO7JNjZn8l6d3ArxIEzu3Al8zs7rGsdBzHmTz/SAi9\nf0HSQ4C5bgIH4HWve12hhhXNMDuBZ5lM3Gvrh7QUHeLKU1AUsQv7LND5R8Zb3vzmnmPTdjz+GfCp\nsS3LiH6l3I7jOENwAXCBpG8ReoE9Z8L2TJw0CcRJsq6e6jfPLAmamFH7FTnpSLt3VanwUm7HcbIg\nqqp69qTtKCvDeHc6x+XxIE47Z9nzWMZJ6HaGYypFTlnxZoGO48wiw3p3uo0r8gFdRjEwjheqjJ9n\nWnCRkyHuYXIcZ9YZRfB0GzvrD+4sQmuzfo+KwEWO4ziOMxKjCp5e46f9oe7Cpny4yHEcx3HGZhzB\nM+i6Mj74s0yCLuPnmxVc5DiO4ziZMkovnH5MIpE470ouFzbF4CLHcRzHyZWsRU8vyrItRC9c2BSP\ni5yC8Morx3GcwLgNAKcBFzTlwEVOQXjlleM4Tm/6iYIyCyAXM+Vm0C7kmSHpZEnXSPqBpFf1GPM3\n0flvSPrlomxzHMdxyktyV/N+X5NY1yk3hYgcSVXgHOBk4BeA0yX9fMeYU4AHm9nxwH8H3pVm7pu+\ndVPG1mbDsHad9tzTOPmZJ2/4Ou25p2Vq1+7duzOdLyvcruEoq13OaKTdbHBW1s1r7bRi6AuXXTYx\nATNr97zsaxflyTkRuNbMrovaqF8CnNox5unA+wDM7MvAoZLuN2jiWRE5cTir86tbHs84lPXh6HYN\nR1ntckbDRY6v7WvnQ1E5OUcB1yfe3wA8NsWYo4Fb8jVtOhi0KaknNTuO4zjOeooSOWmzxjr9g+XN\nNiuYQYnL/c4lBdK1376Wy6++HEgnkAZVhY0jvvrZ5eLMcRzHGRdZAVnrkk4CdprZydH7s4C2mb09\nMebvgN1mdkn0/hrgCWZ2S8dcLnwcp8SY2cxlY/rvHccpN71+7xTlyfkqcLyk44CbgGcCp3eM+Tjw\nUuCSSBTt6RQ4MJu/QB3HKTf+e8dxppNCRI6ZNSW9FPg0UAXON7OrJZ0ZnT/XzD4p6RRJ1wL3AGcU\nYZvjOI7jOLNJIeEqx3Ecx3GcoimsGWDWpGkuOAkkXSfpm5KulPSVCdpxgaRbJH0rcezekj4j6fuS\n/lXSoSWxa6ekG6J7dqWkkydg1zGSPi/pO5K+LemPouMTvWd97JroPZO0RdKXJV0l6buS3hodn/jP\n2LQi6WWSro6+z28ffEXm679CUlvSvQtc8y+iz/wNSR+VdEgBa07k2dHr/3KB61ej3xX/XPC6h0r6\ncPR9/m6UjlLc+tPoyYmaC34PeDJwI3AFcLqZXT1RwwBJ/wE82szunLAdjwf2ARea2S9Fx/4XcLuZ\n/a/oP/dhZvbqEtj1BmCvmf11kbZ02HUEcISZXSVpO/A14LcJYdOJ3bM+dj2Dyd+zbWa2X1IN+Hfg\nfxD6XU30Z2wakfRrwGuAU8xsRdJ9zey2Atc/Bng38FAK/P0l6deBz5pZW9LbAPL8eZnks6PX/+Wi\nnluSXg48GjjYzJ5exJrRuu8DvmBmF0S/Kw4ys7uLWn9aPTlpmgtOkoknKZrZZcBdHYdXGy5G//52\noUbR0y6Y8D0zs5+a2VXR633A1YTeTRO9Z33sgsnfs/3RyzlCrt1dlOBnbEp5MfDW6PcZRQqciL8G\nXlnwmpjZZ8ysHb39MqE3Wp5M7NnR4//y/YtYW9LRwCnAeRT4eyPyzD3ezC6AkJ9bpMCB6RU53RoH\nHtVjbNEY8G+SvirphZM2poP7JSrWbgEGdpQukJdFLuvzJx3iiKoAf5nwS7c09yxh1+XRoYneM0kV\nSVcR7svnzew7lOh+TRnHAwuSLpe0W9KvFLWwpFOBG8zsm0Wt2YPnA5/MeY1SPDs6fscUwTuAPwPa\ngwZmzAOA2yS9R9LXJb1b0rYiDZhWkVPmGNvjzOyXgd8A/jAKz5QOC3HKstzHdxH+MzwSuBn4q0kZ\nErmRPwL8sZntTZ6b5D2L7PpwZNc+SnDPzKxtZo8k/PW9EIVckufL9DM2caJcpW91+Xo6odL1MDM7\nifAw+mCBa58FvCE5vKC1fysx5rVAw8z+Icu1uzDxn8cu/5fzXu9pwK1mdiXFe39rwKOA/2NmjyJU\nThcavi6qT07W3Agck3h/DEGRTxwzuzn69zZJHyO4Ry+brFWr3CLpCDP7qaQjgVsnbRCAma3aIek8\noNDEuMTadYLAucjM/jE6PPF7lrDr/bFdZblnkS13S/oEId4/8ftVVszs13udk/Ri4KPRuCuiBOD7\nmNkdea4t6RcJYvkbChtSHg18TdKJyZ+xPNZO2PA8QijlSVmsN4CJPju6/V8ugF8Fnq6wCfYW4F6S\nLjSz5xSw9g0EL+EV0fsPU7DImVZPzmpzQUlzhOaCH5+wTUjaJung6PVBwFOAb/W/qlA+Djw3ev1c\noKj/ZH2JHoYxv8ME7pnCb/jzge+a2dmJUxO9Z73smvQ9k3R4HCKTtBX4deBKSvozNgX8I/BEAEkP\nAeayEjj9MLNvm9n9zOwBZvYAwkPpUVkJnEEoVAX+GXCqmR0oYMmJPTv6/I7JFTN7jZkdE31/TwM+\nV5DAwcx+Clwf/UxDSPj+ThFrx0ylJ6dXc8EJmwUh/+Bj0V9ENeDvzexfJ2GIpIuBJwCHS7oeeD3w\nNuCDkl4AXEeo0Jm0XW8Adkh6JMGV/B/AmUXbBTwOeBbwTUlXRsfOYvL3rJtdrwFOn/A9OxJ4n6QK\n4Y+li8zss5GNE/0Zm1IuAC5QaK3QAAp5CHWh6HDO3xIS1z8T/d78kpm9JK/FJvzs6Po7xsw+VdD6\nMUV/j18G/H0kKn9IwY1+p7KE3HEcx3EcZxDTGq5yHMdxHMfpi4scx3Ecx3FmEhc5juM4juPMJC5y\nHMdxHMeZSVzkOI7jOI4zk7jIcRzHcRxnJnGR44xEtL/OCyZtRyeSrpNUROdUx3Ecp+S4yNkkRA//\n/ZL2Rl8/k3TEGFOWdV+istrlOI7jFIyLnM2DAU8zs4Ojr3tFLbedLkiaym7gjuOkR9IDUow5suid\ns53scJGzyZE0L+lsSTdGX++I2m/H50+VdJWkuyVdK+kpXeY4UtI3Jb2ixxrXSXqFpG9I2iPpEknz\n0bnnSbqsY3xb0gOj1++V9H8kfTLyQF0m6QhJ75R0l6Sro+0Nkpwo6TuS7pR0QbxWNN/Tos9zl6Qv\nSvqlDjtfKembwN5oywLHcWaQ6HfMSSmG3ga8MmdznJzwX+KbC3U59lrCTuknRF8nAq8DkHQi8D7g\nFWZ2CLAA/HjdhOEvod3A35jZX/VY14DfA55K2PH4EcDzhrD79yI7Dyfs63M5cAVwb8Kutn/d8Rl/\nn7A56oOAhyQ+zy8TNsh7YXTtucDHo52BY04DfgM41MzaQ9joOE6BSPqt6I+eayW9VtKbJJ2f/MNl\nAGea2cWDBplZE/iEpEntJ+aMgYuczYOAf4w8GHdJ+mh0/A+AN5rZ7WZ2O/DnwLOjcy8gbGD3WQAz\nu8nMvpeY8+HA54DXm9l5A9b/GzP7qZndBfwz0Ol96YUBHzWzK81sGfgYcI+Zvd/CxmsfBH65Y/w5\nZnZjtNabgdOjc/8dONfMrrDAhcAya3/NWWTnjdFajuOUFDP7Z+A84Otm9mYz+5/AOcDnJd2r37WS\nTiDsuJ52rSsIO2g7U4aLnM2DAaea2WHR1+9Gx49kvXfmJ8D9o9dHE3aN7YYIAukG4CMp1k/m/ywB\n29MaDtyaeH2g4323ua5PvE5+np8DXpEQencRPuP9e1zrOE65Ees91NcQvLTHD7juaYQ/0IbhNkkP\nHvIaZ8K4yHFuAo5LvD8WuDF6fT3Q6z+1AW8A7gD+YYz8lXuA1aS+MSu+Yo7teB1/np8Ab04IvcPM\nbLuZfSAx3iuzHGd6eTLwReAqAEl/JOm/SXqzpMclxj0G+O6Qc38DeHQ2ZjpF4SLHuRh4naTDJR0O\nvB54f3TufOAMSU+UVJF0lKSHJq5dIeTLHARcKKlbzs8gvgE8XNIJkrYAOzvODzungD+MbL03IZcn\nFjHvBl4k6UQFDpL0m5KG8So5jlMujpb0TElvAp4DPMnMWlG/rIdGofS3sj53b1sU7gZA0v2jvJ7f\nlPR2ScdJ2t7xR1fs+XWmCBc5zi7gq8A3o6+vRsfiOPQZwDuAPYQE46SXBDNbAX4XuB9wfkqhs9rL\nxsy+D7wR+Dfge8BlrPemdPa96dYHp/P83wP/Sgi1/SDxeb5GSDo+B7gzOvecLvM5jjM93GBmH4hy\ncpZZK2p4OjAn6VTgScDXEtdU4xeSDiLk+v2dmX2CUMzwDkLxwp2Ja5aAOZypQgkx6ziO4zhTg6Tn\nEvp//V70/o+B3zSzp0j6a+AOM3tzl+s+bWZPjV4/H/gVM3tJ9P44wh9JrzKzjyWu+S/A4WZ2bs4f\ny8kQ9+Q4juM400qn53gv8IvR648Q2l6EgdJpiXE/TYSp68C1iXMHAa2kwIk4smOcMwW4yHEcx3Gm\nDkmnAM8lNP/80+jwB4GvSXoJcB/gw5LeKOmFrK8i/QKhJxiEvMT7SDolCm0dCVwl6fkdnY4fSUhq\ndqYID1c5juM4mwpJhwL/w8xel3L8FuAtZvbyfC1zssY9OY7jOM6mwsz2ALdHFaVpOI3QId2ZMlzk\nOI7jOJuRdwK/M2iQpGOAuzq6vTtTgoerHMdxHMeZSdyT4ziO4zjOTOIix3Ecx3GcmcRFjuM4juM4\nM4mLHMdxHMdxZhIXOY7jOI7jzCQuchzHcRzHmUlc5DiO4ziOM5O4yHEcx3EcZyZxkeM4juM4zkzi\nIsdxHMfJHUmPl3TNpO2IkbRL0m2Sbip43XdJSrUxqDM+vq2D4ziOMzSSzgIeb2anJI79APhBl2Ov\nNbMPTsDMrkg6FrgGOMbM7shxnecBLzCzx+e1htMf9+Q4juM4o/AF4FclCUDSkUANeKSkSuLYg4DF\nSRkpqdbl8LHAHXkKHKccuMhxHMdxRuGrQB14ZPT+8cDnge93HLvWzH4qaYek6+OLJT1K0pWSfibp\ng5I+IOlN0bkdkm6Q9HJJt0i6KfKKxNfOS/pLST+W9NMoBLSl49pXSroZOD9ptKQnA/8K3F/SXkkX\ndNoWjbtO0hOj1zsjG98X2fttSY9OjD1G0kcl3Srpdkl/K+lhwN8B/zla585o7Hvjzxm9f6GkH0i6\nQ9I/RcIwPteWdKak70u6S9I5w3+bNjcuchzHcZyhMbMG8GXgCdGhBeAy4N+j1/GxDV4cSXPAx4AL\ngMOAi4HfBpL5E/cD7gXcH3gB8L8lHRKdexvwYOCE6N+jgNd3XHsYwWNzZofd/wb8BnCTmR1sZs/v\n9RE73v9WZOchwMeBc6LPUgX+BfgP4OciWy42s2uitb8UrXPvxLwWXftE4C3A7wFHAj8GLulY9zeB\nXwEeATxD0lN72Ot0wUWO4ziOMypfYE3Q/H8EQXNZ4tjjozGdnARUzexvzaxlZh8DvtIxZgV4Y3T+\nUmAf8NAoPPZC4OVmtsfM9gFvBU5LXNsG3mBmK2Z2oMv6GvqTwmVm9ikLiazvJwgsgBMJAuXPzGzJ\nzJbN7P+lXOcPgPPN7KpINJ5F8PwcmxjzNjP7mZldT/CUPbLbRE53usUqHcdxHCcNi8AfSjoMuK+Z\n/VDSbcD7omMPp3s+zv2BGzuOXd/x/g4zayfe7we2A/cFtgFfi9KBIIiJ5B/tt0WiIUtu6bBlS5R7\ndAzw4w5b03IkIewHgJndI+kOgjfoJ9Hhn3asu32EdTYtLnIcx3GcUbmcEL55IfBFADP7WVSW/d8J\nIaEfd7nuZsKDPMmxwLUp1rwdWAJ+wcxu7jFm2LLhewjCCVgNQd035bXXA8dKqppZa0g7bgKOS6x7\nEHAfNgpAZ0Q8XOU4juOMhJktETwRL2e9x+bfo2PdQlUAXwJakl4qqSbpVOAxKddsA+8GzpZ0XwBJ\nR0l6yogfA0Ky9BZJp0iqA68D5lNe+xWCaHubpG2Stkj61ejcLcDR0ZwxYi2MdTFwhqQTJM0T8nMu\nN7Of0J1RwmybGhc5juM4zjh8geD1+PfEscuAw9kYqjJYTVr+XUJC8V2E3JR/ARqdY3vwKoLX53JJ\ndwOfAR6S8toNY8zsbuAlwHnADYT8n+s7xnbOGX+WFiEp+cGEENP1wDOiMZ8FvgP8VNKtnXOZ2WeB\n/wl8hODVeQDrc4u6renN7YagsGaAki4gZInfama/1GPM3xCy3vcDzzOzKwsxznEcx5kokr4M/B8z\ne9+kbXFmhyI9Oe8BTu51UtIpwIPN7HhCLPddRRnmOI7jFIukBUlHROGq5wK/CHxq0nY5s0VhIsfM\nLiO4JXvxdOB90dgvA4dKul8RtjmO4ziF81DgKsJz4U+B/2pmt/S/xHGGo0zVVUexPgZ6A3A068v2\nHMdxnBnAzN5NSCB2nNwok8iBjZnjGxKGJHnSleOUGDObuQoQ/73jOOWm1++dMomcGwlNlWKOpkev\ngGSy9M6dO9m5c2euho2C2zUcbtdwlNWuRHO2mWP/0lJuc+/atYvXve51uc1ftnV9bV87S7Zt3drz\nXJlKyD8OPAdA0knAHo/POo7jOI4zKoV5ciRdTNjI7fBot9c3EHawxczONbNPRo2YriV0nzyjKNsc\nx3Ecx5k9ChM5ZnZ6ijEvHXbeHTt2jGRP3rhdw+F2DUdZ7XJGY2FhYfCgGVo3j7U1RM+3Jzz+8UON\ntwzDsLN0z6dh7cKaAWaFJJs2mx1nsyBpZhOP88zJcfozjCCZFFkKIWc4tm3dOhWJx47jOM4mZhrE\nTC/62e4CaHK4yHEcx3EKZ5oFzbB0+6wufIrBRY7jOI6TK0UJmjyEQ162d87roicfXOQ4juM4mZOl\nOJikAEi79rif10VPPrjIcRzHccYmC1EzzQ/2fraPcm+S10zzfZk0LnIcx3GckRhH2GymB3e3zzrM\nvXPBMzouchzHcZzUjCps/OG8ns77kfa+uuAZjjJt6+A4jjMRJB0q6cOSrpb03WhrGSeBzIZuoJf8\nKprY3lG+JsEo92vSNk8D7slxHMeBdwKfNLP/KqkGHDRpg8rAsA/PIsRMEQ/0Mnzu5Jxp7InHuHdn\nPd7x2HGczJjGjseSDgGuNLMH9hmzqToeT2rLg1HWnwayvEeT/t6UEe947DiO05sHALdJeg9wAvA1\n4I/NbP9kzSqWST48p70ya5D9WZaHx9e6dycdLnIcx9ns1IBHAS81sysknQ28Gnh9ctCuXbtWXy8s\nLEx0s8MsKVrczGLi8rDVU1kkDw8rdsp8/4ZlcXGRxcXFVGNThaskXQW8D/gHM7tlPPPGw8NVjlNe\npjRcdQTwJTN7QPT+/wNebWZPS4yZuXBVWrFRtLCZpYdxTBH3usjvZ9noF65KW131RmAB+JGkSyX9\nvqQtmVnoOI4zIczsp8D1kh4SHXoy8J0JmpQraatxxq2KSlv5M+kqrCJI+9nGqZQatiJrszBU4rGk\newPPAJ4F/CLwMeAiM/tcPuZ1tcE9OY5TUqbRkwMg6QTgPGAO+CFwhpndnTg/9Z6csngTyipkyhi2\nG3WdzebV6efJGbq6StI24HeBVwHHArcCBvyhmX1mTFvTrO8ix3FKyrSKnEFMu8iZ5AO1rNVXg+wq\nSvTkdf82U4hw7HCVAidLej9wM/Bs4G3AEWZ2PCFJ76KsDHYcx3HGZ5hw0Sjz9po7y/BTHs360tg1\nzGcYN8w0aN+rUeYe5t7PcvgqbeLxLcDtwIXA35vZDV3G7DazHZlbuHEd9+Q4TklxT045yMtz02/e\nSVRe9VqzDHZmfX9HnTPNvOPOP2nGDldJ+hUz+2rmlo2AixzHKS8uciZPHg/KvERDUTk8Wfap6Tdv\nN8oidmZZ6GRRXfWv3Q5KunVkqxzHcZzMSBuaymrOccNcaUJdeT1wswp/pbFzlDWyzBdKO+c4c5eZ\ntM0A650HJNWBarbmOI7jOMOSh7jJYp5+c40z57CYNPHmfMM25Etj87C2DppznLnLSl+RI+my6OXW\nxOuYo4Ev5WKV4ziOM5BpFTeTeICm3fBy3NBWP7Ez7DYLeQidtMyK0BnkyTk/+vcxhB4S8Sc24Bbg\nsznZ5TiO4/QhS4GTlbjJUiSlmXfUNTrHphE9WYudSQmdtN6cUeYuI2kTjx9mZtcUYM9APPHYccqL\nJx4XQ1ZekrKKm0nub5VHMnEW36+ivHZZzF00I+1CLunZZhb3vnmcpF/tNs7MLkhjhKSTgbMJeTzn\nmdnbO84fDrwfOCKy6y/N7L1p5nYcx9kM5O29mYRAGjTfKHNksct3P5tGCTv1mi+tt8RDV6PR05Mj\n6ZNmdkr0ejchRLUBM/u1gYtIVeB7hD1hbgSuAE43s6sTY3YC82Z2ViR4vgfcz8yaHXO5J8dxSop7\ncnK0ISOBM644KZv3p6jE5ry8Z1k27dus3pyRPDmxwIle7xjThhOBa83sOgBJlwCnAlcnxtwMPCJ6\nfS/gjk6B4ziOsxnJMzw1jriZdFgree0gr8u4a/Xz8Izq2UlLGSrUppV+4apUPXTMrJ1i2FHA9Yn3\nNwCP7RjzbuBzkm4CDiZsBOo4jrOpySufY9LiJusHc1HVU92uiefMI6G3LAJnWkNW/aqr0nhRjHS9\nctJ8518DXGVmOyQ9CPiMpBPMbG/nwJ07d66+3rFjBzt27EgxveM4WbN792527949aTNmlrIJnCJz\nfsZhlOqpbteNul6atbPKxXH60y8n57g0E8QhqL6LSCcBO83s5Oj9WUA7mXws6ZPAm83si9H7zwKv\n6txOwnNyHKe8THNOTpQ7+FXgBjP7rY5zhefkjCtwxgkNTdLzk1cZetp18loz6+/HMNcPO2fWa+XN\nqDk512Vow1eB4yPhdBPwTOD0jjHXEBKTvyjpfsBDgR9laIPjOE4//hj4LiFcPlHyEDhFi5ssE2o7\nx2TxsE3j7clSCPXKHUrj0cnamzNLAmcQ/XJy3m1mL4xeX9RjmJnZcwYtYmZNSS8FPk0Ib51vZldL\nOjM6fy7wFuA9kr5B2FPrlWZ253Afx3EcZ3gkHQ2cArwZePlEbSmJwClC3HS7fthrsnr4jvp5h7Wl\nm2CZhNAZxLSKmk765eQkvSg/JOTVdH7q1HfczC4FLu04dm7i9e3Ab3Ve5ziOUwDvAP6MUNk5MfIo\n7x5ls8c8RVHyelP6TTjTVk+Nak9asqiy6ubVSSt0hlmn3zxZVZ2VnX7hqrcmXu8sxBrHcZyCkfQ0\n4FYzu1LSjonZkbHAyUuoZOHxGUbcdFtn2PBWr3nGZZwQVHz9KIIlj3DdrJJ2F3IkPYmQR3N/QkO/\nD5jZv+VlmOM4TkH8KvB0SacAW4B7SbqwMxS/a9eu1dcLCwssLCxkZsAkkoSHFStZhbOyYJRqprTn\n067TbVynZybNHJtFbGTJ4uIii4uLqcam3bvqFcCrgPcAPwGOBZ4H/IWZ/eXIlo6AV1c5TnmZ5uoq\nAElPAP5HkdVV4+TgZBGeGlYQZSFuJvVgH/Q5si7ZdwFTDCNVV3XwCuCJZvbt+ICkC4F/AwoVOY7j\nODlT2F9RZRc4WYez0jTNy1MYDONVKaqr8bQ22ZsW0oocIyQfJ/kRkKbbseM4zlRgZl8AvlDEWtMk\ncLLy9qSpEJpkE8Fea44ShhplHSd7em7dIKkSfwE7gfMkPUTSVkkPBf4v8IaC7HQcx5kZJilwBiX9\nymwogZMcnyaheJSHerxGv688SX6utEnT3qW4HPTreJzGS2NmlmZbh8zwnBzHKS/TnpPTi6xzckZN\nNM5C4OQxNs34YZn2njAehiqOUXNyHpiTPY7jOJuWnTIaGwAAIABJREFULEubh6kymiaBM8yco9zP\ncRv6pcEFTjkoalsHx3GcTU+WpeJZCZy8xhZFFuJwUFO+Mn5uJx3D9Mk5FXgCcB9CLo8BpNnWwXEc\nxxmdMoiWtN6OojsQZ4H3spldeiYeJ5H0BuDcaPwzgNuBpwJ78jPNcRxndsgqDyerzrjDJiMPGjco\nAXgSCcOOk7YZ4E+A3zSzb0naY2aHSjoR+J+dTbPyxhOPHae8eOJxj+sLEjijeFvSzjlKUnTe9NpW\nYdB4Z7bIohngIWb2reh1Q9KcmX0l6g7qOI7jZMywoiFrgTNsMu44Wy2MSjcROMiblAYXQ7NDWpHz\nI0kPN7PvAN8BXizpLuDO/ExzHMeZfrLKUSlSuGRdbVSkaHCB4iRJK3JeBxwevX418A/AduAleRjl\nOI4zCxQRpkrrnZiUwHGcSZIqJ6dMeE6O45QXz8npuC6DHi79xqcVQ6OMG3cuxymKLHJykPQQQmXV\n/YEbgQ+Z2fezMdFxHGe2KCJMleW4UQTOpBlme4ys95xypoO0JeS/D3wd+CVgH/AI4OuS/iBH2xzH\ncTYVefetyUPgpNlXKq+vfvQaWzah5uRL2hLy/wCea2aLiWOPBy4ys+PyM6+rLR6ucpyS4uGqaHzO\nuTh5hZ+GXW+SZeOOE9MvXJXKk0NIMv5Sx7HLgYPGMcxxHKcMSDpG0uclfUfStyX9UdZr5NX0bxzx\nMsx6cSPA5Li0O3J3m2PUL8cZhrQi56+Bt0raCiBpG/AW4B15GeY4jlMgK8CfmtnDgZOAP5T086NM\nNIp3I48w1TDrDlpvGAHkAsUpEz3DVZKu7zh0RPTvXcBh0eubzezYnGzrioerHKe8zEq4StI/An9r\nZp+N3qcOVw1THdXrmjKFqVycOGVn1OqqZ6eY29WG4zgzhaTjgF8Gvjz0tTl7cdKMyzvReFKMYs80\nCLRWO5v7XK2U/7NOgp4ix8x2F2iH4zjOxJG0Hfgw8Mdmti95bteuXauvFxYWWFhYKNa2jETHpAVO\nlnNPg4jpJCtRM2jeWRY9i4uLLC4uDh5I+uqqOULX42cT+uTcBFwE7DKzRqqFpJOBs4EqcJ6Zvb3L\nmB2EPJ86cLuZ7egyxsNVjlNSpjlcJakO/AtwqZmd3XFuYLiqyMZ/eY7pZdMwn2+zC5lO+gmbVka3\nqtrnNuUteEYJ0WZJFs0A3w6cCJwJ/AQ4Fng9cC/gTwZdLKkKnAM8mdBI8ApJHzezqxNjDgX+N/BU\nM7tB0uHdZ3Mcx8kWSQLOB77bKXCKJG/PyigCZ9D6Lmh6003cdBM14/7hLmnDvEnRE9tRpHenLJ2x\n04qcZwAnmNnt0ftrJH0d+CYpRA5BIF1rZtcBSLoEOBW4OjHm94GPmNkNAIm1HMdx8uZxwLOAb0q6\nMjp2lpl9apxJ8/jFnkXJ+CjnhxEzsyZWhmWQuOkUNd2ETy/nTzedUu1Ij02KniLEzqDd32Fye6Kl\n3tZhTI4CktVaNwCP7RhzPFCX9HngYOCdZnZRQfY5jrOJMbN/J31LjQ0UmXA8KmkfQr3sSFMhVtTD\na5jtHIokrbhJHkte0krxc5S8thp91ratFz+x6ClS7AzTILLILTbSipwPAR+X9Ebgx8BxhBydD6W8\nPs1vgDrwKOBJwDbgS5IuN7MfpFzDcRxn5sgqFyfN+XEeOnk8sNKKxzJ4jjoFTiwukl6b+Fg8NBY1\nrfbadWlDV5JoEYuVMHe14z6kETuT8OrEFCGM04qcVxJEzTmsJR5fDOzqd1GCG4FjEu+PIXhzklxP\nSDZeApYkLQInABtEzs6dO1df79ixgx07dqQ0w3GcLNm9eze7d++etBmlpAwP3piylYP3oqwemn70\nEjew0XPTtvXCZuP5jYKokzWRYlSiexJf1lJ3wdNP7OTl1SmL0BlYXSWpRkjIO9PMDoy0SJjjewQv\nzU3AV4DTOxKPH0YQUU8F5gk9Kp5pZt/tmMurqxynpExzdVU/+lVXZVFVNU7zv2E8PaOeH4VxhVVZ\nRU2SQd6bTnETe2zMjJYFUROPaZmRvGVJ706SaiKoKq2JmaqgIlFV+H8Yj61Kq6GsWNgocc36uafT\nGzdWdZWZNSU9BWiNakA0x0uBTxNKyM83s6slnRmdP9fMrpH0KUIycxt4d6fAcRzH2ayM+hAYJiG0\n1/lh1h5V3EyDqEmSRuAMEjexsGm1oY2tzrnSiufo6H0T3aN6NRYxokLkvVEQLW2F/JyqoNUOIa1Y\n7IQ5gh2xV6cs4au8PDpp++S8krCVwxvS9sXJC/fkOE55ydKTI+nBwKOBo4E54E7gWuCLo3qVx7Bl\n4p6cLPrepKmaGpRAmvahVXQScpEiqZ/A6ea9SYqbRnu9sDmw0qZlxkrLWGm3V69d6eHKqVcrq56Z\neqVCvSqqElvqFSqIaiV4eOYqWufZ6ebVKZtHZ9TvYT9PTlqRcwNwP4KH5TbWEonN965yHCcmC5Ej\n6TmEnlq3Ad8g7Je3BBwCHAk8EvgZcK6ZfW88i1PbNJTImZZQ1bACpx+Tqg4r2gM0SOAkk4qbrfWe\nm2Y7iJ6VdpuVlnGg2Wal3Wa52aYVCZuVtq3m5qx0JObEHpyKRL0i6tUKW2pB9NQr4XW9KuqVCtUK\n1CpaDWPVKlrn0Ym9Pd2ETl79dPISOlk0A3zW0Ks6juMMgaRthCKHT5jZhQPGbgFOk/QwM/unQgzs\nZkfJ/+AatbfNMImjnddmwbQkIHcTOJ3em5W2RYJnzXNzoNlmudVmpZV8bSw3W6vjARrN9d6cuVpI\nyKlKbKtXg9ipivlI7Cy3KtFrY0u9QqsNtSrMVaDZDgnKLcFcVatirMrG0FUeYStI308n49ywcv8n\n7cQ9OY5TXsbx5Eg6ErjNzJpDXHOMmV0/eOR49PLkzEqoqgzCoSyemn4kvTi9QlSNlnUVOCvtIGj2\nr7RYbq6Jm+Xo2NJKi6VGi0azTattqwJnOfp3PhI4c7UK1YqYq1XYOldla73KtnqV+VplVezM1yps\nq1eDZ6dSoVYNwqheWQtfzVUHh64m5dEZ9ns+tidH0jyhhPx01krILyHsXVVobNxxnNnEzG7udlzS\nEcCdcT6gpG1mtj+6JneBMwvk1RtnGKa9Y3IvgRMTe3GSAicOT+1faa2KmgPNNvsaTZabbfY2muw7\n0GSpEQTO/kaLRqvNUqO5KnKabaOWEBtB3NSYq1bYNlcNQmeuyvYtNQ6eq7HcqrDdalFej3HwPEAF\nqhYSTiqiSizM1oROr2TkSZClNydtuOpdwEOAl7G2d9VrCZ2Mz8jEEsdxnO7sA54WeXE/BpwGXDBh\nmybOuG3y8wi1Taqyqshuy510hqnWcnDW8m9igbN3ucm+RovlZoufLTe5e/8Ke/avRF6cJvsjsbN0\noLlWpRWJnWrkyanVq6tenCByahy6tR68QNva3Gu+xkrL2D5XhfkaLLNO6FQjcaM2UDGge/IxTDZs\nlRVpE4/vBB5kZncljt0b+KGZHZajfd1s8XCV45SUPPrkSDoOeAfwcEIri6vM7PQs10hhQybhqrRJ\nylkkHU8iVJV31dUkN32MPTndwlQr7bU8nJV2qKCKQ1R7l1vrBM6+RpO7l1bYd6DJnv0r3L3UCEKn\n0WJ5aYXmSpt2s03bjHazTavVpho1x6nUKlQkKrUKtXqF+a11ts5VOXRbnUO2znHotjrbt9Q4ZGud\n7XM1ts9VOXg+/JsMXc1VQugqrrqqV9aETmfYahpCVlkkHt9M2GrhrsSxrYSwleM4Tp68GHgLodrq\nIEKF1cTJIoekjGGZmFG8I0Vu7TDJkvEk7Q7R07KQ4NvGOkJU6wXOrXuXuXt/g70Hmuzdu0xzpU0j\nEjnNRotWq73qxYmp1ipUqxVqc1Vq9UoYu7W2msPT6Cg7r1dFvdley72ZE2YhJFWxuBOyNux91fnZ\ni9y9PCYr71xakXMRcKmkcwjbLxwLvAS4UNIT40Fm9rmxLXIcx1nPopldEb+J+uc4Y5AUDp0Pk85z\n0D+8kJfYmNSu1WnYsIt4pC2SYaoDK6FiaqUVJxuH5OKkwLljX4OlfQ0ay00aS83Ik9Oi2Vih3WzQ\nXlnflq5Sn6NSm6M2V6dWrwaRs9Ki1Wx3rcSqJ3rl1CsVDqy0qdSrSCFsVZVotaFaXf/ZVMD9Lipk\nlVbkvCj696zEMUXHX5Q49oAsjHIcx0nwyGiz3jui9ytZLyDpZOBsQkf288zs7VmvMSpFPuB7PXT6\nPYyy+Iu7DN6aNCTb1iRzceL3SS9Oy2zVi7PcbHOg1ebu/SvsPdBkqdFk74EgahrLTZb2NlheWmFl\nuUFzaR+txhLNxlJXkVOb20pzbiu1rds3eHr21irM1SrsPRCSkedqFeab7ainTpt6VbSxdd6cmuLP\nsD5MVYYE5CxIJXLM7Lic7XAc5/9v78yjJaure//51nCnbuhmUEEGccA8o3GIEUlcXtsB0xIjMS4D\nJAqCGoJDJhIj4lMijYYYFIfl8ASMaBSNok8jRommbZ5RA4RJRRNUlAYHsKGFnu69Vfv98Tt1+9zT\nNZyqOnXOqbr7s1atW3XOb9h17r11vrX3/u2f04kPAldKuo5Q8fgg4MqsBpdUJeyb9yzCZsLXSPps\nfG+9SSaL+jiDCJ2sauGMehl8t1BVixU7jTdDn5YXZ7EZ6t+0lobvWmxw785Fdu5aZGHXXg/O4p4F\nFndsZ2Hndhp7dgVPztIi1gw7KqlSpVKr09izi9rs2uj4OvZECckViZ2tZeVTIYF5dqrKnmqD6Vol\n2NKo0Gjacg7OXtu7X7uiQlZZkNaT4ziOUwhmdmcUFj8RqAMXZzzFMcCtZnYbgKTLgROAiRA5g+TV\n9Ctahg09DCNQyuLtaYWqIL73VDi+2DR2LTSWvTiNptFYakahqUb4uet+FnffT2PPLpZ272Bpz65l\ngdNClSq16dkVr/dUqlSrFZbqFRpLzWg5+hL37Q7LyhfrtmIj0MWGUa+wImRVFHmErCq9mziO44we\nSQ+V1HbVlJntMLNLo818fxm1P1jSyzOY+jBCrmGLrdGxiaeTQBi1cDBpxSMNMlvxKAuddgtv7UOV\n3JphIcqfaTYsJBc3mlizgTUbyx6clsBpLi3QWNhFYyEcb7VrLi3QiNpYs7E8TrNhy+MH26ytTWnf\nQ9Fk8Xt2T47jOKXAzH6owAUEofEV4DvxmhGS1hI8L88A7gbekcXUGYyx6ol/K89KJI1Lrk5a4qKj\nmRAgzaWF6Gf7lLOWV6exuIAqVapTs8t92o0ZnysptFYTLnIcxykNZvYD4G8kPQ74PeD8aE+rKrAE\n/BT4KvAPZnZvRtPeARwRe30EQWStYNOmTcvP5+fnedpTn5rR9JPDKGrujKugyRpVqr0bxRjXHJo0\nbNmyhS1btqRq29feVZIeCKyNH4s+lHLDiwE6TnkZRTHAUSOpBnwPeCah9td/AifHE4/bFQMcl32r\nsi4EOKrqwv3u5p4X3fariu9VFS8CuHOxwX0LS+xcDFs43LNrkW07Fvj5L/ewbccefnH/Atvv3c3u\nHQvs3rHIzvv3sHDftuWk48Wdv6SxuLAcmgKo1KaCB6c+RX1uf6rTs0yvPZD6mnXMrZ1mZk2dmTVT\nrFs/w0FrpzhwzTQP3H+aA9dMcUBUHHCuXmG/qRpz9eqKooC1qqhKpdyZPM3fQBZ7V20ELmHfIlxG\n+IblOI6TC5L+xMzel9V4ZrYk6VXAFwmfZ5eslpVV7QRLJyHWrn5OkrxXWJWhlk61AksNluvRLGGh\nCF+lQlXNsFN4RVQrYrpWYapWpVoR9ekqSwtValNNavUqjelZarHwk3bvCCGqRKJxbWYN1elZatEy\n8lq9GhUHrFKfrkabd4YNO6uRiInXyqlXWwImHJ900oar3gOcB1zW2hjPcRxn1Eh6CfCnQHz7mAcA\nmYkcADP7AvCFLMcsC8N6XvpJ/uw1V5al/PPar6paUc9l5JJCgRyC6GmiIHSqFeqVJvVqhbUztbCs\neyHsObVrIRIniw2mZ+uYraFSm6KyYzuLlSqqVNuurqpOz1KfWUt9zTrq01NMz9ap1SvLQmcu2pm8\ntWlnsCGypRrEVrWSsD3FNRhX0oqc9cD7PU7kOE7OPBD4TTPb0zog6bwC7cmdUd/M04zfbqlvJw/Q\nKHYbL2soq6K9IayqoCloCCrsDf/Uq5WoTs3eTTXXzU2FHcoTxfz2SKhyINXpWZodwlWV+hTVqVlq\n9SrTs3WmZ2vMrJliaqbGurk66+bCHlazU1Vmornr1UoUihIVhKKwVDwcVUm8noRCgJBe5FwCnB79\ndBzHyYs74wIn4l8KsWSC6LVNQ7ucnTRCCLL11nQar7DQVCRqJFHFoqrAgoqtCFlZJYSs5upVmgaL\njQqLtSrrZut7N/qMfm6Lxq7UKtSmKiwtNFlarNNYaobcn9gu5JKo1ipRiKrC9Eyd2lSV2bVTrJur\ns35uivXRpp3rZutM16pMVyvM1CrM1auRJ2dlqKr1ukUeWzqkJc+9q34T+DNJryWsbli2wczmh7bC\ncRynPd+S9HFCYnDLd/8c4NjiTMqOvEIu3Wg3f1mK85Uh5yYtLeHT8ubUKxUWZUxXKyzWKiw2jaZV\naczVl/tUK6JWEfftXmLnrkUW99SWiwOG+jmJOSqEDTqjPJz6dJW52Tr7zdSCB2e2Hnlz6szVQ17O\nTK2yLHTqlcoKL06ZBM2oSCtyLqZ9lVEPXzmOM0r+EvgasD16rdjzUtJNuKSt8JrX5oVlpd/VX6MW\ni/G8nJY3p/U8sqCtN2em3kp+2XurDecVJQhXmKpWWDvT4N6pKrsWwvYPrU03m4n6NpXqXk/OVLSF\nw/q5KWbrVdbP1Vk7U2NdtJJqulZhv6kqa6dqzERJyJ28ON1CVeOcjwPp9676xxHb4TiO044rzezy\n+AFJNxRlTJyihUh8/nY3+V72FW1/i2FtKOo9ROUSgJDPAqIhqGKtA4GE0GntG1WPRM5sJG7WTtfY\ntRi2ZFhYarLUtLY7i9eW+9WYrVfZb6YW7VdVZf/pGtO1KmunqszUKssCZ6Yeko9r0WqrlhenJXDi\n7ylPSrMLucI7Pw14MaHc+VbgI8AHPRnZcZwRcpek5wDfJYSrBJwBnFmoVWNGN09H1ptrQv/Lvwfp\nP0jbYWjnzYnn5oQ20GjuDVstK4iY0Am7gVfYuVhhulbl/voSjTlj7e4ldi00aETiZk+0oWfShulo\np/FqRcsrqEKCcQhPzdWrK0JUcYETD1PFV1jlXRsnT9KGq14HnAJcCPwYOBL4a+DBwKYu/RzHcYbh\ncsJGmfG1tI9ilYmcInJ32q2mSvvNe1JXWHUTOoEQtmo0Rb0ClZjJlSjxt760NzzUypvZs9Rkv6ka\nOxcbNGzl/lNJploiRyGxuSKtEDeVaNxWDk61wr4enESYqowCJ8OtQXr/MUq6DXiamf0oduwhwNVm\ndmQmlqTEKx47TnnJuuKxpFPM7LLEsRPN7ONZzZHSjn0qHkN+VY87teunMnK//YcRKmnzjtJSpj2s\nOlVAbr1uGjTMaDTjlZFDNWQzWGwajaaxe6nJzsVGtPqqye6lZpScbMt7TTUT77uVS1OvarnI4Exs\niXhL3LSKAEqhqnErT6idwIFiRE6Wq/CGrngMzBE2w4vzC2AmrRFR1eSLCBVFLzazCzq0exLwdeAP\nzOyKtOM7jjMZSHqDmb0JIClwIh6Rs0mZkvSIdPLSpPGc9MrLidMrbydtvZw0xNtluUKqDCusOnlz\nzGxFInK1Gp1rwlITpiqttrCEqE4FgbLYCIJnutakpZ8WG0067alZjWrvQIiG1SvRyqmo0F8FUasG\nIVNVEEa1WNJxq1+RAidP0npyLgP2A84GfgQcBZwP7DCzF6foXyUsAX0WYTO8a0jsDRNrdxWwk5Dv\n86k2Y7knx3FKShaeHElbgf8g5N+048lFeJDbeXJgfPawGuR80Uu4+1lllbet7Tw6sNd7A529Oo3o\nuBk0mtAkeHdaHpxG9F6Su4fHt2RovW4Jm2qFaHn4XnHTznsT+q9MMs5b4GRdSykLT86rgXcBNwJ1\nYBH4RHQ8DccAt5rZbQCSLgdOIMTak/N8EnhSynEdx5k8bgM+z74ix6JjD8jboDIwaF7OMKus8hQ2\nWay0ydPeTsvKV+boQNKrYxZydapRk0bk4bGKmKkF0QNB+LSjwt7l32G+vcIG2oubcLy796b1niaN\ntEvItwOnSDoNOBi428waPbrFOQy4PfZ6K/DkeANJhxGEzzMIIsfdNY6zOnmHmf1zp5OSfpmnMXlQ\nZMiqn/OjIKtlxEV4mpJCBzqFryApdiC0qRjU0XL+TaOyt30jcW2qbbwvlZhgWRYvCXETb1+0wMna\ni9OLjiJH0lExz8vDEqfXtC6Umf0gxTxp/oovAl5rZhYtWe/4Ts8999zl5xs2bGDDhg0phnccJ2s2\nb97M5s2bMx2zm8CJzo99rl7eNWpGXTNn0BtX2rBdr7mKzNVJbuAZz9MBEl4d2Ct2gmNSkeem9bbq\n7PUK1TvcBuMCJS5swrnu4ibZv/UeJpWOOTmS7jOz/aLn7deyAWZW6XQuNtaxwLlmtjF6fTbQjCcf\nS/oBe4XNwYS8nJeb2WcTY3lOjuOUlKxXV5WFbjk5UPwqq2S7YXJz+vH0FBFiKpvIiZOsa5PM1Uke\njzdPem0aHe661cQdN+7dSQobKJe4GZUXZ6CcnJbAiZ73FDI9uBY4WtJRwJ3AicDJifmWvUWSPgh8\nLilwHMdxskbSW4HnAgvA94HTohB9vnYMEbJKQ1pvTic7BtllfFSUZbuHJO28OrDSswN7vTvxXJ5W\n2KnVvVrtPldSn3QSNslzcVvzJO8wVYtU4kXSOzscvyhNfzNbAl4FfBH4DvBxM7tF0hmSzkhrrOM4\nzgj4EvBoM3sc8N+EVaQjZ9AP9TReo143lGHPx+cc9tEvaUNaRW1+GvaI2ldktB4QREjrET9XVSiO\n3HpUtPIRP5fsFx+z3Zzd7MuS1rVPPooi7RLy++KendjxbWZ24Egs62yLh6scp6SMe7hK0vOBF5jZ\nixLHu4arYLQhq2TbLJacjyrslQXDbvlQht3d4yTDWMvHM76VtfPYQHmSijsx7O9q4CXkkl7aaifp\ndELOTOtdPBy4ayjLHMdxysXpwMfymixtYcAkaUJbg66kSrPx56jI4ht/2QQO7BUZ++xF1cHMXuKn\nU79O8+ZBUQKnF72WkL+YIGrq0fMWBvwMOHVEdjmO42SGpKuAQ9qcep2ZfS5qcw6wYGYfbTfGpk17\nt+mbn59nfn5+xflOOS9Z3XRHkZuTxra8REM/hf+SfcaFpOjo5OFJK2J6jV92Bv272rJlC1u2bEnV\nNm246nwzO2cgazLGw1WOU17GNVwl6SXAy4FnmtnuNud7hqtgsJBVu36jXmmVps2wYal+rsUgAqfT\nHGXz4gxKRwFUQiEziNjM8vfULVyVSuSs6JCoYWNmHZeXjwIXOY5TXsZR5ET76l1I2IQ4uUdfq81Q\nIgfKm5uTpk0/tg/DoGKqn/o6kyKCykK/v/9RXP9uIift6qrDJH1a0jZgKfZYzM5Mx3GcQngXsBa4\nStL1kt4z6ECDfoB32zOqG8OstOqnTV5hoVF7BFzgFMegq+mGJe3eVe8DdhG2XPgq8DTgjcAXRmSX\n4zhOLpjZ0XnMM6rcnGGSkPtp008dn2He5yg8A2VMRp5EyniN0+bkbAOONLP7JW03s3WSDgT+w8z+\n18itXGmLh6scp6SMY7gqDWnDVcvtR5ybk2xblvBWlvQjdnrlFHVr54w/WexC3gpPAdwj6YHAdsLG\nm47jOE6MrFZaDbukPC1ZeX2yJMtk517juadnckm7XcN/As+Jnn8R+DjwacJ2DY7jOE4GDJNfMmwl\n5KzyeIqkXU2fXrkgLnAmm7ThqvVAxcy2SZoDziIk6l1kZj8ZsY1JWzxc5TglxcNViX5jFrZK266f\n0FXRy4udySfTJeRF4yLHccqLi5xEv4xETq8+RQideLu0dX36ZZC6OYMUE3RRNd5ksYR8WtJ5km6V\ntFPS/0jaJGkmW1Mdx3Emh0Fv/qNanZRl6CrertMmjGnfRzysFH8kN3ns9ehlb9zWMobbnOxJm3j8\nXuCRwKuBHwNHAucQEo9PG41pjuM448+gScj97Gs1aNus2rXatPOMDJsQ3SKtKOm35pB7cSabfpaQ\nP9zM7okdOxD4vpkdMEL72tni4SrHKSkerurQf8CwVbu+eVZO7qddv23zpsy2OcMxdLgK+Akwlzg2\nC9w5jGGO4zirgSxzVvpZJp1VSKpXWKrfMYsgzUqrJGV7D07/pA1XfRj4gqR3A7cTwlWvAC6T9IxW\nIzP7SvYmOo7jjD9Zha169RlF6KqftklBNI5ek7TXzyk/acNVt0VP442VeI2ZPTQzyzrb4uEqxykp\nHq7qMc6Axera9R3VMvQi2g5b3TjteP3Y2s98TrEMXfHYzI7K1CLHcZxVSCdvziB9i0xcbrWJ/+xU\nJbld22EYZoz4+xpGcDrjQ9pwleM4jpMBw2z5MGqh02ozqrHj43cbtx8G9cC0EzuD5uu4KCovqUSO\npNs7nDIzOzJDexzHcXJH0lnAW4GDzWzbqOcrq9BJtu9VLK8fr06yT1YMO15WosopJ2k9OS9OvD4E\n+HPg8mzNcRzHyRdJRwDHAT/Kc95xETpp27fapX0PZSGtrcMUOxyn6zFppEo8bttROgT4VzN7fLYm\n9ZzXE48dp6SMY+KxpH8GzgP+L/DEdp6crBKP9xl3yLyQfpORB+kz7BxlvLn3E+LKq8aRMzhDJx53\nYA8w8tVUjuM4o0LSCcBWM7tJBdyAuiUiD+rRaR3vp0/WXppOdXUGvcn3GyJKk1zcqU9W7QYNa5Vd\nII4baXNyziMsF29d8TngeOALI7LLcRwnEyRdRQixJzkHOBt4drx5LkbFyFropOnXr9BJ9kkjpuLn\n262uGmQ5d1rS9k8jIuLvexiBM8zSd2dw0nqS4nOIAAAUo0lEQVRyjmBlTZwdwIWEIoGO4zilxcyO\na3dc0mMI3ugbIy/O4cB1ko4xs58n22/atGn5+fz8PPPz89nZWJDQabWL/8y6T7t+yeeDUjZPR5ah\nLaczW7ZsYcuWLanaDpyTMwiSNgIXAVXgYjO7IHH+j4DXEL5N3QecaWY3Jdp4To7jlJRxzMlpIemH\n5JyTs888GefoDNpvUI/FKLZMKFrIpL2mwyYmD9rXyWDvKkmvlfSkxLFjJL0mrRGSqsC7gY3ArwIn\nS3pUotkPgHkzeywhEfD/pB3fcRxnSAr/9jRsCMe0795MybyYNP3S9OnWr5++vR5F0O19dFtOP4i9\nLnBGS9oNOv8cuCVx7BbgL/qY6xjgVjO7zcwWCcvPT4g3MLOvm9n26OU3Ce5jx3GckWNmD8ujRk5P\nOzLIVelnlVC3foOKnX76loG4qOkWckqbw9PPvMP0d3qTNienDiwkji0A033MdRhhc88WW4End2n/\nUuDKPsZ3HMeZCIbN0ek0Rr8ro+L94udG0TcrshJWWawE65VonbegWY31etKKnP8CXgm8PXbsT6Lj\naUn9lyfp6cDpwFPanT/33HOXn2/YsIENGzb0YYbjOFmxefNmNm/eXLQZE0m3ZdB5iI4s+sb7ZLU0\numgR04lh86nSjJfFOKtN6KRKPJb0aODfgDsJeTMPAw4FjjOzb6eaSDoWONfMNkavzwaabZKPHwtc\nAWw0s1vbjDPSxOOTTj2Je3ffu8/x9TPrATqeu/xDXvzZccY58bgbeSUed5w/gxvosDfNUfTvZ4xB\nxc2ob+hZipthr1G78YYJf46LGMpiF/JvS3ok8FzCcvJPAf9iZvf3Yce1wNGSjiKIpROBk+MNJB1J\nEDgvaidw8uDe3ffykBc9ZJ/jP/pIqPje7ZzjOM4oyCp81Wof7xs/l0f/TmMMShEhn25k5bUZZrxe\nfdNe80nw+qQtBng4sNPMPhY7dqCkB5vZnWnGMLMlSa8CvkhYQn6Jmd0i6Yzo/PuBNwAHAO+N6lYs\nmtkxfb0jx3GcCaSX0Gm1GWScPMVOst0gIiePG28eS9yz9txkTVnsGIa0OTmfAU4D4isPDgc+QPfk\n4RWY2RdIVEmOxE3r+cuAl6Udz3EcZzXRTejAcF6d+OthxU7aMTq1y3tV1ii2f+h3vmE8QKOoTzQp\npBU5jzSzmxPHbgaSdW4cx3GcEdItIbl1vF+BMUxyai/BFG+TllF6EPq9yY9K1Awydp5LzifBiwPp\n6+T8XNLRiWMPB+7O2B7HcRwnBb0SSof1TgwyRqdaMv0UCcyCZN2bfufPohhhr4KC/XpfshA4q82L\nA+k9OZcCn5J0DvB94BGEisSXjMqwcaTbyixffeU4TtZkFb5qjdXqkxwj2SbtWFmNl4YyrL7KYxn5\noOPlHZIrC2lFzgXAIvAPhFyc24GLgbeNyK6xpNfKLMdxnKxJE76KtxtmvEFyQNIKnn7HbTfPqFYp\ndSPv1VaDjLlaBQ6kX0LeAN4aPcYa97Y4jjOJpPHqtNqlHS/eb5ixkmP2GrdTn37GHyVpREMZxE2a\nMYcdv+z0FDmS6sCLgOOAgwh5OF8GPhztQTVWuLfFcZxJpZdXJ36u6NBTu72u2lGGm3SRy8mHGbsM\n165ouiYeS1oHfI0QrloArgeWgLcAX4/OO47jOCUiTWLroPVpuhWYGya5OJ7sO0yF3yySa/tNVh6l\nzYOO7QIn0MuT8xbgLuDpZrajdVDSWuATwN8BZ47OPMdxHGdQsg5hxceN9+807iBj9+qX5ubdz/xF\nJSyPKuSVduxh5xgXei0hfz7wirjAAYi2c3hFdN5xHGdskfRqSbdI+pakC3r3GC/SenWG8eykWc6e\n1fLlpMen1yNpwyBLytvNOyhp5h3Ge+MCZyW9PDn7A1s7nLsjOu84jjOWSHo68DzgsWa2KOkBRds0\nKvrJ14m373f8bnNkuZqqH/qtqpy1XWXI6clqnnGjlyfnB8AzO5x7BqFmjuM4zrhyJvCW1iIKM7ur\nYHtGTlovQVb5NWnmyLNQYIte3p8sKENOT7u5VhO9PDkXApdFG2teYWZNSRXgBcC7gNeN2sBJwZeu\nO04pORqYl/RmYDfwV2Z2bcE25UIaz078fFa5NWk9SZ36l508BYeLm950FTlm9o+SDgI+CHxM0t3A\nwcAe4G/N7NIcbJwIfOm64xSDpKuAQ9qcOofwGXiAmR0r6UmEBRUPazfOpk2blp/Pz88zPz8/Amvz\np1+xE+8zzHztxu01b5rx8qZMe2GNar6ysWXLFrZs2ZKqbc86OWZ2oaQPAL9FEDh3A183s+1DWek4\njpMDZnZcp3OSzgSuiNpdI6kp6SAz+0Wy7etf//oRWlk8acVOvE0WN9B+RU8nW7K2I8t5shIaRQiq\nMpL8kvHm88/v2DZtxeNfAv86tGWO4zjl4jOE/MKvSnokMNVO4Kwm0iQQtzuf1Q11mKXjw5Dl+EUl\nLo9i7nEn7d5VjuM4k8ilwKWSbiYUPD2lYHtKxSDenWTfrG3px4ZRkYeQcK9NNkycyPEEX8dx0hKt\nqnpx0XaUnX68O+3aFblUfJwYtFa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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mirror wigner functions are always positive and the mirror therefore always in a classical state." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Figure 3 in Bose et al." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The wigner function of the cavity field at $t = 2\\pi$, for three different values of $k$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "t = [0, 2*pi]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "k_vec = [0.5, 0.4082, 0.3536]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "states = [solve_dynamics_undamped(r, k, alpha, beta, t, 3*N, 3*M)[0].states[-1] for k in k_vec]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(len(k_vec), 2, figsize=(8,12))\n", "\n", "for idx, rho in enumerate(states):\n", " rho_cavity = ptrace(rho, 0)\n", " plot_wigner_fock_distribution(rho_cavity, fig=fig, axes=axes[idx])\n", " \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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MyYmLG2CNwInnPLUSOP3o40joxImHraCzas2TQCaRY2YzBFPIT2dlCvmlBFPI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\nZVxohNy/UuOexTXuvbDGmZUqi6u15vgj32M6aitlSOgJs1HQJnBKgdd0B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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For these particular parameters the cavity field is prepared in superpositions of two, three and four coherent states, respectively." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Damped dynamics" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# number of fock states in the cavity and mirror modes\n", "N = 20\n", "M = 30" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "def solve_dynamics_damped(r, k, gamma, alpha, beta, t, N, M):\n", " \n", " wm = 1\n", " w0 = r * wm\n", " g = k * wm\n", " \n", " a = tensor(destroy(N), identity(M))\n", " b = tensor(identity(N), destroy(M))\n", " \n", " H = w0 * a.dag() * a + wm * b.dag() * b - g * a.dag() * a * (b + b.dag())\n", "\n", " psi0 = tensor(coherent(N, alpha), coherent(M, beta))\n", " \n", " c_ops = [sqrt(gamma) * b]\n", " \n", " return mesolve(H, psi0, t, c_ops, [], options=Odeoptions(nsteps=20000))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Figure 6 in Bose et al." ] }, { "cell_type": "code", "collapsed": false, "input": [ "gamma = 1.0\n", "alpha = 2\n", "beta = 0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "t = linspace(0, 2 * pi, 25)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "S1 = [entropy_linear(ptrace(rho, 1)) for rho in solve_dynamics_damped(r, 0.1, gamma, alpha, beta, t, N, M).states]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "S2 = [entropy_linear(ptrace(rho, 1)) for rho in solve_dynamics_damped(r, 0.5, gamma, alpha, beta, t, N, M).states]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "S3 = [entropy_linear(ptrace(rho, 1)) for rho in solve_dynamics_damped(r, 1.0, gamma, alpha, beta, t, N, M).states]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(10,5))\n", "ax.plot(t, S1, label=r'$k = 0.1$')\n", "ax.plot(t, S2, label=r'$k = 0.5$')\n", "ax.plot(t, S3, label=r'$k = 1.0$')\n", "ax.legend()\n", "ax.set_title('Linear entropy of the mirror')\n", "ax.set_xlabel(r'$t$', fontsize=18)\n", "ax.set_ylabel(r'$S$', fontsize=18)\n", "ax.set_xlim(0, t.max());" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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1PbVcCFt3cB3xTeI557RzGHzaYM457RwGnTaITi06uV1uWMovymd/1v7S0FYu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\npqb/+6+tCx0dHbS1taWOUWo+xrXl41t7Psa152N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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Figure 7 in Bose et al." ] }, { "cell_type": "code", "collapsed": false, "input": [ "t = [0, 2*pi]\n", "k = 0.5\n", "alpha = beta = 2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "gamma_vec = [0.001, 0.01, 0.1, 1.0]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "states = [solve_dynamics_damped(r, k, gamma, alpha, beta, t, 3*N, 3*M).states[-1] for gamma in gamma_vec]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(len(gamma_vec), 2, figsize=(8,16))\n", "\n", "for idx, rho in enumerate(states):\n", " rho_cavity = ptrace(rho, 0)\n", " plot_wigner_fock_distribution(rho_cavity, fig=fig, axes=axes[idx])\n", " \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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oI/H/G5jSanV09XLxCIGTdf/2lpZ3tTd1FfSY+b05ZQpAzpq4IucNwKOAP3Uz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uM4Tl2pOsHYV2w5dWBQr84gOXC+uspxHCcng4iGOq2gcvHjJBnkO5H3uzro966vnLSBenQcx1ln\n9FuOvgijCos5Thp5vo/DFjpjsUGn4zjOeqJO3hvHGTZ5l34XDV8NskGoe3Icx1nXSHqhpCslfVPS\n67POi99oi9zI81J2crHjjIIi3+MqvqfuyXEcZ90i6VHAk4AHmtmipLvlvbbbqhEXOM4kUXSFVJHN\nbAddudXznL5adhzHmQyeB7zWzBYBzOzWbicnb8ZlCAoXOM4kMohHp2HLvcNQeUVUbiscx3Emj9OB\nbZK+IGmXpIf1uqBMoTMqgVN0AnLx5Ay7vlP0PcuTr1PEFg9XxYjvZeX7WDnOZCDpk8DxKS9dQHAP\nPNrMzpT0cOC9wL17tZl0xydd7nnc9eNWA6esCrZOPSkSYhp2u2V+x1zkxIjvZeXVkh1nMjCzx2W9\nJul5wAfC874sqS3pWDO7PXnuRRde2Hl81rZtbNu2ravQ6cYgN/FRe1W8YvL6pd/PvkwB1bBldu/e\nze49ewCwHgEpFzmO46xn/g14NPBZSfcDWmkCB+CCl7+8Z2Nl7Zzcb9t58D2wnCzyiJFhC508Yapt\n4Y+M6NzXvOaizGtc5DiOs555K/BWSd8AFoCnF7m42407bcn5qAVOmf260KknZe8GntVHv0Inur7b\n61l95j03joscx3HWLeGqqqcN0saw82+KJhSPOpzlDIdeQrlMT1/eOlBlCqhhCBzw1VWO4zgDk3bT\nLWPSyevej/6ybHEmg6zvWS+PWxn9lNV20f4G9Uy5yHEcx8nBsFdLFe2vW58udCaPcU5W78YwBQ5M\nQLjqnGecw97De4Fg2bfjOM6w6OWi77W0vEg/vXAh4wyTYYetel1T2mqsUloZIXsP7+WeT70n93zq\nPTtix3EcZ1iMS/2buthRVbvrlWGGlobRdh5RlNZe30n7fV3lOI6zjikidIpOAHkYVy9O9P7i1W3X\nS0XlYb7XcRI6VQocmIBw1TBJhsK8ArLjOHmJu/v7/fWa1W4e6iYc8u5FNK4CrhtpezPB+LzXqlbt\n9SNwetnlIqcLUSgMvAKy4zirySNcigqdXozLpFgX4hNgmYm7g2w+mfe1ovZWkUPTj1DN298wBA54\nuMpxHCcXZSwTr5t3ZRDqKriywkL9jP0oQ2l1CC31S9HQXNkhqlVtl9KK4zjOOqAfoVPWruVleQ/q\nzKDeljI9I2WPYbyeUbyuUdk21CE/p8g1/Qqc3AIq11mO4zhOJv0InXEVIv1QheegG6P0OnUTNMOy\nqy5CZ9QCB1zkOI7jFKLfsvrdqtWWOUmPq3iq075eZXmEqqp6XTV5xqCowBmWd8sTjwvgq60cx4Hs\nJMyixQLz9ONkM4yiiWUInLL3G+snWXiUicj9CJw89CP4XOQUwFdbOY4TMSyhM8zy/XVJTC2DOgqc\nuo1b1ZttDrMGTt+CKlfrjuM4zhrKDF1NKlWLkWG0OWyBM8z2hyVsi3pjRiFwoEKRI2mHpKskfU/S\nSzPO+Zvw9SskPSSrrR1P2cEZjzqDc55xzvAM7pNdu3aN2oRU6moX1Nc2t8vJQxlCZ/fu3bmvy6Kf\n6+L9FqEMkdZv32WQ7LtKgTPI+x5U6PTqu99E5DwCJ9l33nEdROBARSJHUhN4E7AD+AngXEk/njjn\nCcB9zex04HeBv89q755PvSfLxy+PfK+qc55xDjuesoMdT9nREVx1nYDqahfU1za3y8nLIEKnrSa7\n9+wZqP9+PRt7Rik0+nzPZXhx9pQgKvtl0DEfROgM+j2L21A0UTje96DCsVDyd+4zB+MM4Gozu8bM\nFoFLgbMT5zwJeDuAmX0R2CrpHhXZ1xe+OajjOBH9Ch0AS9yKCy2RLXmSrlteySipMqw4TivoBvHC\nVClwoLrE45OAa2PPrwMekeOck4Gbh2taeZzzjHO47LLL+MKVX/DVV46zDuk3GTnt2rKSQaO2R0HZ\nuTOjaK+KNvrtt+jnmhTTWe1C+iazg+TQGI3KBQ6AzKzwRYU7kX4d2GFmzw2fPxV4hJm9MHbOh4HX\nmdnnwuefAl5iZl9NtDV8gx3H6Rsz06htKBu/7zhOvcm671TlybkeOCX2/BQCT023c04Oj61iEm+g\njuPUG7/vOM54UlVOzmXA6ZJOk9QCngJ8KHHOh4CnA0g6E9hrZmMTqnIcx3Ecp15U4skxsyVJLwA+\nATSBS8zsSknnha+/2cw+KukJkq4GDgLPqsI2x3Ecx3Emk0pychzHcRzHcapm7Coe5ykqWKEtb5V0\ns6RvxI4dI+mTkr4r6T8lbR2BXadI+i9J35L0TUl/UAfbJM1K+qKkyyV9W9Jr62BXzL6mpK+FSfB1\nsusaSV8PbftSXWyTtFXS+yRdGX6ej6iDXeOKpBeGY/lNSa8fQf8vltSWdEyFff7f8D1fIekDko6q\noM+RzCFZ9+UK+191f6uw3+R94swq+x8rkZOnqGDFvC20Jc7LgE+a2f2AT4fPq2YR+CMzewBwJvD7\n4TiN1DYzOww8ysweDDwQeJSknx+1XTH+EPg2ELk362KXAdvN7CFmdkaNbPtr4KNm9uMEn+dVNbFr\n7JD0KIJaYQ80s58E/qLi/k8BHgdUvSnffwIPMLMHAd8Fzh9mZyOeQ7Luy1WRvL9VRfI+cWWVnY+V\nyCFfUcHKMLM9wJ2Jw52ihuG/v1KpUYCZ3WRml4ePDxB8qU6qiW2HwoctgvysO+tgl6STgScAFwPR\nSpqR2xUjubpnpLaFv7jPMrO3QpB3Z2b7Rm3XGPM84LXhfQ0zu7Xi/v8KeEnFfWJmnzSzdvj0iwSr\naofJyOaQjPvyiVX0nXF/q6LfrPtEZYybyEkrGHjSiGzJ4h6xVWE3AyOt2izpNOAhBDeQkdsmqSHp\n8rD//zKzb9XBLuANwJ8A7dixOtgFwS+vT0m6TNJzw2Ojtu1ewK2S3ibpq5LeImljDewaV04Htkn6\ngqRdkh5WVceSzgauM7OvV9VnBs8GPjrkPmoxhyTuy1WQdn+rgrT7xIYqDaiqTk5ZjFWWtJnZKIuI\nSdoEvB/4QzO7S1oR8KOyLfzV9uBQ4X8idNOP1C5JTwRuMbOvSdqeds6IP8ufM7MbJd0N+KSkq2pg\n2xTw08ALzOzLkt5IIjQ16u9/3ZD0SeD4lJcuIBjPo83sTEkPB94L3Luivs8HHh8/vax+e/T9p2YW\n5b9dACyY2b+U2XcKI/8+hvfl9xHclw9U0F/P+9sQybpPvKJKA8aJPEUFR83Nko43s5sknQDcMgoj\nJE0TCJx3mtm/1ck2ADPbJ+kjwENrYNfPAk9SsEnsLLBF0jtrYBcAZnZj+O+tkj5I4HIftW3XEfz6\n/3L4/H0Ek+VNdRizOmJmj8t6TdLzgA+E5305TAA+1sxuH2bfkn6S4Nf2FeGPoJOBr0g6w8xK+ey6\nve/QhmcShFIeU0Z/PRjpHBK7L78rdl8eNmn3t3eY2dMr6DvtPlFpnt64havyFBUcNR8CnhE+fgZQ\n1Re5g4K71SXAt83sjXWxTdJx0WobSXMEiY5fG7VdZvanZnaKmd0LOAf4jJk9bdR2AUjaIGlz+Hgj\nwS/ub4zaNjO7CbhW0v3CQ48FvgV8eJR2jTH/BjwaIBzTVlkCpxtm9k0zu4eZ3Sv8/l8H/HRZAqcX\nknYQhFHODhcmDJuRzSFd7stDJeP+VoXA6XafqA4zG6s/4BeB7wBXA+eP2JZ3AzcACwRx3mcBxwCf\nIlgp8J/A1hHY9fMEsdfLCUTE1whWE4zUNuCngK+Gdn0d+JPw+MjHLGbjI4EP1cUugl/Zl4d/34y+\n8zWx7UHAl4ErCLwQR9XBrnH8A6aBdxII2K8QrKYbhR0/AI6psL/vEazoiu5Tf1dBnyOZQ7LuyxV/\nvp37W4V9rrlPVNm/FwN0HMdxHGciGbdwleM4juM4Ti5c5DiO4ziOM5G4yHEcx3EcZyJxkeM4juM4\nzkTiIsdxHMdxnInERY7jOI7jOBOJixynL8L9dZ4zajuSSLpGUhWVUx3HcZya4yJnnRBO/ock3RX+\n7ZeUtp9MXowa7AOTQl3tchzHcSrGRc76wYAnmtnm8G+LBSW3nRQkjdu+bo7jFETSvXKcc0LVO2c7\n5eEiZ50jaUbSGyVdH/69IdzTJXr9bEmXS9on6WpJj09p4wRJX5f04ow+rpH0YklXSNor6VJJM+Fr\nz5S0J3F+W9K9w8f/JOnvJH009EDtkXS8pL+WdKekKyU9ONHlGZK+JekOSW+N+grbe2L4fu6U9DlJ\nP5Ww8yWSvg7cJcn/fzjOhBLeY87MceqtwEuGbI4zJPwmvr5QyrELCHa1flD4dwbwcgBJZwBvB15s\nZkcB2wj2mVlpMPgltAv4GzP7y4x+DfhN4BcI9mJ6IPDMAnb/ZmjncQT7hH2BYC+UYwh2tf2rxHv8\nLYKNLO8D3C/2fh5CsEHec8Nr3wx8KNwZOOIcgr1ttppZu4CNjuNUiKRfDn/0XC3pAkmvlnRJ/IdL\nD84zs3f3OsnMloCPSKpkU0unXFzkrB8E/FvowbhT0gfC478NvMrMbjOz24A/B54WvvYc4BIz+zSA\nmd1gZt+JtfkA4DPAK8zs4h79/42Z3WRmdxLsVJ30vmRhwAfM7GtmdgT4IHDQzN5lwcZr7wUekjj/\nTWZ2fdjXRcC54Wu/C7zZzL5sAe8AjrDya85CO68P+3Icp6aY2YeBi4GvmtlFZvZnwJuA/5K0pdu1\nkh5EsON63r6+TLCDtjNmuMhZPxhwtpkdHf79Wnj8BFZ7Z34EnBg+Phn4fkZ7IhBI1wHvz9F/PP9n\nHtiU13Dgltjjw4nnaW1dG3scfz/3BF4cE3p3ErzHEzOudRyn3ojVHuqrCLy0p/e47okEP9CKcKuk\n+xa8xhkxLnKcG4DTYs9PBa4PH18LZP2nNuCVwO3AvwyQv3IQ6CT1DbjiK+LUxOPo/fwIuCgm9I42\ns01m9p7Y+b4yy3HGl8cCnwMuB5D0B5J+R9JFkn4udt7DgW8XbPsK4KHlmOlUhYsc593AyyUdJ+k4\n4BXAu8LXLgGeJenRkhqSTpJ0/9i1iwT5MhuBd0hKy/npxRXAAyQ9SNIssDPxetE2Bfx+aOsxBLk8\nkYh5C/B7ks5QwEZJvySpiFfJcZx6cbKkp0h6NfB04DFmthzWy7p/GEp/Latz9zaE4W4AJJ0Y5vX8\nkqTXSzpN0qbEj67I8+uMES5ynAuBy4Cvh3+XhceiOPSzgDcAewkSjONeEsxsEfg14B7AJTmFTqeW\njZl9F3gV8CngO8AeVntTknVv0urgJF//Z+A/CUJt34u9n68QJB2/CbgjfO3pKe05jjM+XGdm7wlz\nco6wsqjhSUBL0tnAY4CvxK5pRg8kbSTI9fsHM/sIwWKGNxAsXrgjds080MIZKxQTs47jOI4zNkh6\nBkH9r98Mn/8h8Etm9nhJfwXcbmYXpVz3CTP7hfDxs4GHmdnzw+enEfxIeqmZfTB2za8Dx5nZm4f8\ntpwScU+O4ziOM64kPcd3AT8ZPn4/QdmL4ETpnNh5N8XC1NPA1bHXNgLLcYETckLiPGcMcJHjOI7j\njB2SngA8g6D45x+Fh98LfEXS84FjgfdJepWk57J6FelnCWqCQZCXeKykJ4ShrROAyyU9O1Hp+MEE\nSc3OGOHhKsdxHGddIWkr8Mdm9vKc588CrzGzFw3XMqds3JPjOI7jrCvMbC9wW7iiNA/nEFRId8YM\nFzmO8//Yu/M4ye663v+vd1V3T8+WyWQhewj7piSChIhkGMPisEjUn0KisgSMEUS9giwxXJgLCcvv\nqoDmqlySIIsmIIsGWQMyTERAAkkQSCAhJmRfJ9tsvdTn/nFO9Zw+farq1F7V/X4+Hv2YqlNn+VZP\nd513f1czW4neB/xaq50kHQXsyM32bmPCzVVmZma2LLkmx8zMzJYlhxwzMzNblhxyzMzMbFlyyDEz\nM7NlySHHzMzMliWHHDMzM1uWHHLMzMxsWXLIMTMzs2XJIcfMzMyWJYccMzPrO0knSrp62OWok3S2\npDsl3TLg6/6tpFILg1r3vKyDmZm1TdKZwIkR8bzMtmuAawq2nRURHx9CMQtJOlRMU90AACAASURB\nVBq4GjgqIu7u43VeDrwyIk7s1zWsOdfkmJlZJ74GPE2SACQdBkwAx0mqZLY9Atg+rEJKmijYfDRw\ndz8Djo0GhxwzM+vEZcAkcFz6/ETgq8CPc9uujYjbJG2WdGP9YElPknS5pPslfVzSxyS9PX1ts6Sb\nJL1W0u2SbklrRerHrpL055JukHRb2gQ0nTv2DZJuBc7PFlrSs4AvAYdLekDSBfmypftdL+mk9PHW\ntIwfSsv7fUlPzux7lKRPSbpD0l2S/lrSY4G/A34hvc496b5/X3+f6fPTJV0j6W5J/5IGw/prNUln\nSPqxpB2Szm3/v2llc8gxM7O2RcQM8C3gGemmTcClwL+nj+vbltTiSJoCPg1cAGwELgR+Fcj2nzgE\n2A84HHgl8H8kbUhfexfwSODY9N8jgLfkjt1IUmNzRq7cXwaeC9wSEesj4hWN3mLu+a+k5dwAXAyc\nm76XKvCvwH8DD03LcmFEXJ1e+xvpdQ7InDfSY08C3gH8JnAYcANwUe66zwd+Hngi8CJJv9ygvFbA\nIcfMzDr1NfYFmqeTBJpLM9tOTPfJOwGoRsRfR8R8RHwa+M/cPrPA29LXPw88CDwmbR47HXhtRNwb\nEQ8C7wROyRxbA94aEbMRsafg+mr7ncKlEfGFSDqyfpQkYAEcTxJQXh8RuyNib0T8R8nr/DZwfkRc\nkYbGM0lqfo7O7POuiLg/Im4kqSk7ruhEVqyordLMzKyM7cAfSNoIHBwRP5F0J/ChdNsTKO6Pczhw\nc27bjbnnd0dELfN8F7AOOBhYA3wn7Q4ESZjI/tF+Zxoaeun2XFmm075HRwE35Mpa1mEkzX4ARMRO\nSXeT1Ab9NN18W+666zq4zorlkGNmZp36JknzzenA1wEi4v50WPbvkTQJ3VBw3K0kN/Kso4FrS1zz\nLmA38PiIuLXBPu0OG95JEpyAhSaog0seeyNwtKRqRMy3WY5bgGMy110LHMjSAGgdcnOVmZl1JCJ2\nk9REvJbFNTb/nm4raqoC+AYwL+k1kiYknQw8peQ1a8AHgPdKOhhA0hGSntPh24Cks/S0pOdJmgTe\nDKwqeex/koS2d0laI2la0tPS124HjkzPWSf2NWNdCJwm6VhJq0j653wzIn5KsU6a2VY0hxwzM+vG\n10hqPf49s+1S4CCWNlUFLHRa/nWSDsU7SPqm/Cswk9+3gTeS1Pp8U9J9wCXAo0seu2SfiLgPeDVw\nHnATSf+fG3P75s9Zfy/zJJ2SH0nSxHQj8KJ0n68APwBuk3RH/lwR8RXgfwKfJKnVeRiL+xYVXdOT\n27VhYJMBSrqApJf4HRHxsw32+SuSXu+7gJdHxOUDKZyZmQ2VpG8BfxMRHxp2WWz5GGRNzgeBLY1e\nlPQ84JER8SiStty/HVTBzMxssCRtknRo2lz1MuBngC8Mu1y2vAws5ETEpSTVko28EPhQuu+3gP0l\nHTKIspmZ2cA9BriC5L7wJ8BvRMTtzQ8xa88oja46gsVtoDcBR7J42J6ZmS0DEfEBkg7EZn0zSiEH\nlvYcX9JhSJI7XZmNsIhYdiNA/LljNtoafe6MUsi5mWRSpbojaTBXQESwdetWtm7dOohytcXlat+o\nls3lal9mcrZlZ+eu3Uu2VZZMi7JPTdWW56wff/Y55/Dms87q6BztlCl/7nPOPpuz3vzmjs/bSfnq\n2rl2ry3Ha5f5f8/+nHXzf9fq2kXnrr/vbn9niq65em3j+RFHaQj5xcBLASSdANzr9lkzG1W9Cji9\n1subV/68+S8bT/0MOPVtjX6+m/3stPM7UfY9DKwmR9KFJAu5HZSu9vpWkhVsiYj3R8Tn0omYriWZ\nffK0QZXNzKwdgwo4lZh3mLCe6nfAyb/e6Ho1VRsGpLJlbHSOrIGFnIg4tcQ+ryl7vs2bN3dVnn5x\nudo3qmVzuaxIPwLOphNPbLp/uzemMh/+lZjnxE2bmu7TT752b5X5P2/2c9audoN60fvuVdBpZmCT\nAfaKpBi3MputFJKWbcfjnbt296Q/QSfNVP3qm+NaouWnWTNRv6/RTLPrd1vmtWtWN/zcGaU+OWZm\nI2tYAafT4xxgVqaiPi/DDjitjmvUT6cX/dYccszMutDODaSbjru9DjoOQctbPzqIdxs6Wh3fj6Dj\nkGNm1qFubyAOGjYuejUacNBBxyHHzKwDvQoonc4N0s35Ha6sHb2c7qDMz14vg84oTQZoZjYWeh0S\nyoyM6fb8ZsPSyc9f0e9EJyMNXZNjZtaGYU701+9zm+V1+/PWTcDuRY2OQ46ZWUmtPrCbzfTa7bnz\n1zHrt2EGnGbnaKdcDjlmZiWUCTj9vobZuOjlz3I3Qcchx8ysS4PumNnra5rldfPz1Y+w3mnQccgx\nM+tCP8KGa3RsXPXzZ7eToOOQY2bWoWYfsKPQn8GsU52OiOo3j64yMxuAUlXlblKyFWKQobytTvp9\nLIeZ2ViQtL+kT0i6StIPJZ3Qq3P3q2+Da3qs33q1EvgweTJAMzN4H/C5iPgNSRPA2mY7tz1XRweT\nmNXVj8tec5RvKra8tJqosl8/i61+Z8pOoKmI6GW5+k5SjFuZzVYKSUSEhl2OdkjaAFweEQ9vsk/s\n3LUbGL1RJ2aDMsigXfZalZhn9dp1DT933FxlZivdw4A7JX1Q0nclfUDSmqId+70Ks9ko68fK5kWK\nlnNoVqam5+pJiczMxtcE8CTgbyLiScBO4E3NDujmw95Bx6xYsxnDvUCnmVlnbgJuiohvp88/QUHI\necfZbyPSvwtP3LSJTZs2AcV9Zlrppo+O2XJTevbi9Pdm+/btXLp9e6lj3CfHzHpmHPvkAEjaDvxu\nRPxY0lZgdUS8MfP6Qp+cRjr5S9NBx1a6XvzerF2zuuHnjmtyzMzgD4F/kDQF/AQ4rd0TlB3tkeUa\nHVvJOm2Cauf3xjU5ZtYz41qT00qZmpysdj+8HXRspenlgrbNanLc8djMrMccWswa61Xney/QaWY2\nJG1NPe8RV7ZCDPpn3SHHzKxPBjGniNm46EfA8SrkZmZD1iroOAjZcjes2kqHHDOzAWhUq+OAY9Y/\nHkJuZjZADjW20gyzz5lDjplZCZ7Txmy4OlpGpQ/lMDNblpqtrWNmxbr946CbDvwOOWZmbXLQMWtP\nuyGlVyueO+SYmXXAQcesPWUCS6+nXXCfHDOzDtWDjvvqmJVT/13J/pHQz98fhxwzsy65U7JZewb1\n++LmKjOzHnCnZLPR45BjZtZDDjpmo2NgIUfSFklXS7pG0hsLXj9I0hckXSHp+5JePqiymZn1koOO\n2WgYSMiRVAXOBbYAjwdOlfS43G6vAS6PiOOAzcBfSHKfITMbSw46ZsM3qJqc44FrI+L6iJgFLgJO\nzu1zK7Bf+ng/4O6ImBtQ+czMmvKK4mbjZ1A1JUcAN2ae3wQ8NbfPB4B/k3QLsB540YDKZmZWWk1V\n19KYjYlBhZwosc+fAVdExGZJjwAukXRsRDyQ33Hr1q0Ljzdv3szmzZt7VU4za8O2bdvYtm3bsIsx\ncEVzfZjZ6FFE6/wh6QrgQ8A/RsTtbV9EOgHYGhFb0udnArWIeHdmn88B50TE19PnXwHeGBGX5c4V\nZcpsZoMniYjQsMvRa5Ji567dDV8vCjtu2jIbjLVrVjf83CnbJ+dtwCbgOkmfl/RbkqbbKMNlwKMk\nHSNpCngxcHFun6uBZwFIOgR4DHBdG9cwMxuK7Do77rtjNjpKhZyI+FRE/BpwFPAvwKuB2yR9UNJJ\nJY6fIxk99UXgh8DHIuIqSWdIOiPd7R3Az0u6Evgy8IaIuKf9t2Rm1j5JVUmXS/rMsMtiZr1Rqrlq\n0QHSGuDXgTcCRwN3kPS5+YOIuKTnJVx6fTdXmY2ocW6ukvRa4MnA+oh4Ye61ps1VZjZ49Wbi1WvX\ndddcpcQWSR8lGer9EuBdwKER8SjgTcBHelJqM7MBk3Qk8DzgPGAsQ5qZLVV2dNVtwF3Ah4E3RcRN\n2Rcj4lOS/qjXhTMzG5D3AK9n31xdZjbCyo5sLBtynp8f5ZQXEZtLnsvMbGRIegFwR0RcLmnzsMtj\nZr1TNuR8CTggv1HSHRHxkN4WycxsoJ4GvFDS84BpYD9JH46Il2Z3Oufssxcen7hpE5s2bRpsKc0M\ngO3bt/Pv27eV2rfsPDkPRMT63LZJ4LaIOLCTQnbKHY/NRtc4dzwGkPQM4E8j4ldy293x2GyEZJur\nmnU8blqTI+nS+jkyj+uOBL7RTSHNzEaQ/4oyWyZaNVedn/77FBaPOgjgduArfSqXmdnARcTXgK8V\nvVaJeU/yZzZmyjZXPTYirh5AeVpyc5XZ6Br35qpGJMXunQ8CXq7BbNjyI6s6aq6S9JKIqM9984uS\nnla0X0Rc0GlBzczGjWt0zMZHs+aqU9k3wd9LaNxO7ZBjZmZmI6ftZR2Gzc1VZqNrJTRXgZuszIap\nV81VZRfvrLVVOjOzMeaAYzY+mjVXzZU4PgD/xpvZiuCA03uztfI185OVZVdJaH3WLOQ8fGClMDMb\ncQ443Wsn0JQ53qHHWmkYciLi+gGWw8zMlqFug02ZczvsWCPN+uR8ICJOTx9/pMFukV/fxczMrJ/h\npuhaDjorR03Vhc7HrWpYmzVXXZd5/BOS/jf5nyIPczIzswWDDDf56zrorBxlm489hNzMemY5DyH3\nAp3NDSvc5A066HT6vh3IemftmtWdLdCZJemZJBMEHg7cDHwsIr7cmyKamdk46uQmP1/imGqHIWBQ\nNTruRD0eSs2FI+l1wIXA3cBngXuAf5D0p30sm5mZjbCyN/r5Wiz6aueYUTNbi77UWvXrvCtd2QU6\nbwGeExHfz2x7AvDliDisj+UrKoubq8xGlJurVoZ2wk2vtFuz0+uakUEHENfslNesuapUTQ5JB+Of\n5LZdB3i2YzOzFaTVzb7dGpuy2j1fL0PJMGpYXLPTGw1DjqRK/QvYCpwn6dGSVkt6DPB/gbcOqJxm\nZjZkZQJOPw2j+WrYQcNhpzsNm6sklamliYgY6DSgbq4yG11urlq+mt1oW4WPuTZu0hMlmmnKNl11\n2+TTTbgoG8iG3Qy3HHQ6usrLOpiZWUcBp51gkz+uTNApo5uRVp0GnHZrm/L7two9ng+oPV7WwczM\nGmp0s+91uMmfoxdBZ5BhoFdNafXzNAs7DjrltTNPzsnAM4ADSfryBICXdTAzW57aCThlws1sphPE\nZIthL82CznwtOp5Hpx/60VeoVdjxul3llJ0n563A+9P9XwTcBfwycG//imZmZsPSi4AzW1v81ei1\nRnpRK9Rv7QScuVos+Spz/mbXcKfk5soOIX8l8OyI+B/A3oj4E+BXgIf1rWRmZgMi6ShJX5X0A0nf\nl/RHwy7TMJUNOEU36jLhZen12tu/jEHUcJQJOK0CTdnQ46DTmbKTAd4XERvSx3cAR0bEjKT7I2K/\nfhcyVxaPrjIbUeM6ukrSocChEXGFpHXAd4BfjYir0tdX1OiqoptmUcBZelx3123UhFXUbNWsuapX\nAaebIfPd1kI1aqobxPseN71Yu+o6SU+IiB8APwBeJWkHyfIOZmZjLSJuA25LHz8o6SqSdfquGmrB\nhqCTgNMo3DS70RfdxGdrrfvqtDIKN/pedb6Gpd+nZn113CF5qbIh583AQenjNwH/CKwDXt2PQpmZ\nDYukY4CfA7413JIMXi8CTtkbfKObeJmg06g2o9c3+MmK2m4KavX+m9V2Fb3vZmHHQae1Us1Vo8TN\nVWaja1ybq+rSpqptwNkR8c+Z7cu+uarbgNNN7UX+Bp6/2edfL7q59/PG3qtO2O0oCjxlm+1WWsjp\nRXMVkh5NMrLqcOBm4J8i4se9KaKZ2XBJmgQ+CXw0G3Dqzjn77IXHJ27axKZNmwZYuuHrJODkw8Fy\nv/n2KuBkj8mGnaJh9UU1Osu9Nmf79u1cun17qX3Ldjz+LZK1qj4L3AA8FHg+cEZE/EPnRW2fa3LM\nRte41uRIEvAh4O509Gj+9WVdk9OqFqedgFOmeafoBpy9eTeryRlWzcWwOmPXjVrt1ihpVpNTNuT8\nN/CyiNie2XYi8JGIOKZXBS3DIcdsdI1xyHk6sB34HulEp8CZEfGF9PUVFXKa3bwbBZx2+67kb8Cj\nHnKgve9Tsn/xeco07RU1TTnoFOtFc9U64Bu5bd8E1pYthKQtwHuBKnBeRLy7YJ/NwHuASeCuiNhc\n9vxmZp2KiH+n/Lxhy0qrcNKPgFM/pswNuNXyDuN0E2+n31JRh+N8p+xervO1XJWtyTmTZDmH/xkR\nuyWtAf4XsCMi3lHi+CrwI+BZJP15vg2cWp+DIt1nf+DrwC9HxE2SDoqIuwrO5ZocsxE1rjU5rSzn\nmpxmtROdBJz5Jp/PVeU7GO973qgmp1UtTj80Ck69bNZr1zjUdA1LRzU5km7MbToU+ON0fpyN6bZb\ngZYhBzgeuLa+6Keki4CTWTwHxW8Bn4yImwCKAo6ZmfVOq+aXffvte9wo4DQLN9l9skGn3x1k211T\nqh4QejGDcJm+OM2uk/++ZGttmg2zX4kdkZtp1lz1khLHl/1JOALIhqabgKfm9nkUMCnpq8B64H0R\n8ZGS5zczsx4qqnnoJuBk983X6PRKpwuHQlIbkj++nzVHrYJU0QKcjYJOvtlq1BYwHaaGIScitvXw\nOmV+yiaBJwHPBNYA35D0zYi4Jr/j1q1bFx5v3ryZzZs396aUZtaWbdu2sW3btmEXwzrQbjNVUcAp\nCjdz80uvNVHtpqStlRnlVJevYckGhbp6YGi1EnhZnYxAy+9bDztlg07ReVZibU7ZPjlTJLMev4Rk\nnpxbgI+QTJg1U+L4E4CtEbElfX4mUMt2Ppb0RmB1RGxNn58HfCEiPpE7l/vkmI0o98kZH2VCTlEz\nVaOAUxRusrJBJ1uTU7/xFvU5aTZ6qFFTVLfDuNvt79IoYLXTSbsoLBbVdnXbh2m5hpxmfXLKjiZ4\nN0kNyxnAsem/JwH/f8njLwMeJemYNDC9GLg4t8+/AE+XVE07Nj8V+GHJ85uZWUnNahKaNVMVHTc3\n3zrg1Pera6d5K2u+FgtfhddosL2b9bCy52x27U41+l7MRyx81c0WBNF2rMTVyssOIX8RcGymM/DV\nkr5LMqfE/2h1cETMSXoN8EWSIeTnR8RVks5IX39/RFwt6QvpOWvAByLCIcfMrM+KbtzNaj/qN94y\n4WZUtAo6zd5vUZ+XTrQzEi2/X71mJ9vsVC9Xo2Yr980p31x1M4tDDpIOAr4XEYf3sXxFZXFzldmI\ncnPVeGinqapZM1U25MzWilPCZGVxuqg3W9Vv2u00V3Wq0Y2+2fDvImXKU6apDxoHnPr3tKgfUyfN\nfCthSHkvJgP8J+BiSW8jWdbhGJI+Ov/UkxKamdlAtNsXp5EyAaf+Wj7oNNNN0xLsu6nXb+SVmKc+\n9kXzswv7RXUSqlBTNS1nGuLSf7ud12ayUr4vUFGNWHZbPfAU1egUdTh2bc4+ZUPOG0hCzbns63h8\nIXB2s4PMzGx8NarFKRtwBqUo2GhuFtXmYD4ZG6O59N806ER1Mtl3YgqqU1QrE0R1ktpEldk0GPS6\n/01du32S5uaLg87C6wXNVpZoGXIkTQAfIFmM8y39L5KZmQ1aq5qLohtz2YDTbm1OGdXK0qabSsyj\n+X3hprJ3J8zPoPm5JNzM7V18kolVRHWSqE4QU2uJiSkq1Skqk6sXanig8z44ZZTt11QUdJoNC29W\nm7OShpO3DDlpp+HnAGPUxczMzFpp1uG40Yiq+k05H3D2zC1+Pj3RvyqFfMBpFG4qM7thbi+1B+6l\nNpfW4MzsWThWU9NoYpLK+v1hZje1qdXE1Foq8zNocg2V6uTAwk5d/vuaDYfNgo5rc4qVba56D/A2\nSW8tMy+OmZmNnn4NIc4HnPq2fgSdwqapNOBo74PJ45ldaO+DxMweajsfIGb2EHt3J//O7euXo4lJ\nNDVNbdcDVNasp7J+f2J+jphaQ8zNEKvWweRqJiv9acLK1+IU1YzVt9XDTjbotDy/F/AsHXL+CDgE\neK2kO9k3g3FExNF9KZmZrWiSHgk8GTgSmALuAa4Fvh4Re5oda73RqC9O9mZcFHD6pduAkxdzs8Tc\nLEpfi7lZKmv3UFmzgdrU6uQagCoTMDG9cFw/anRaNf1lm/zqQaed2pyV2mRVNuT8Tl9LYWaWkvRS\n4FnAncCVwI+B3cAG4HHAqZLuB94fET8aWkGXkXx/nLIji1oFnF7W5jQLOEm/m9mFTsZMrEJAdWp6\nUbiJvZnHueYrTU0v7KOpaVSdhPlZ2PsgrFpHJeapqbpw/V4GnWH2bVruSoWcHq9jZWa2RDrT+RuA\nz0bEh1vsOw2cIumxEfEvAyngCtB0QrwGfXGGYUnAmZshqpOIpJkhqhOwegOQjKKKiakl59BcEoyU\n7ZgMSefkiVXJ4/mZ5JzzM6gyQSUz5Lyfo69gX4BsFBLztTmNrPQmq1IhR9IqkiHkp7JvCPlFJGtX\nudrYzHphA8lnylyrHdPPnb+XdFT/i7U8lb1BNxru3G4zVbu1EEUT2hU2r1Sn9vWfmJiC6kYiHQ6+\nNyrsnauxey6YrS1eIqEqMTklVk+IVRMVVqlGZXb3QrMX8zNQTcKR5vY9rlTpWx8dWPp9zYedRt/H\nTpqsVoKyzVV/Czwa+EPgp8DRwFnAEcBp/Smama0kEXFr0XZJhwL31Ac9SFoTEbvSY24cYBFXlFFd\n5yiZ3C8RlYmkNqc6tSTY3L+nxoMzs9y1a5b79iT/7pmbZ/fMPKunktqY/acnWTdV5Yj9ptm4eoJ1\nk6tZt3btQuBZqCUqqAmarKiroNPukhhFTX/tdEJeqcqGnF8FHhERO9LnP5D0LeAnOOSYWX89CLwg\nXdLl08ApwAVDLtPY6UVoadRUtTdX+7Cqh6OqWtU81MNNTVX2zNV4YGaeB2dq3PrgXm6+fw/X3bWT\n6+58kFvv3cOenbPMzydlrVYrTK+d5LD9p3n4wet4+EFrOWb/1Ry6fop1k1XWTa1l1eTqJOzk1Pvn\n9EInnbjztTmtmqwan2f5dz4uG3JuBdYAOzLbVpM0W5mZ9dNBwEuAJ0h6B3AFDjl9U7gKea7WoZ2m\nql51Ps7fjOszFteUNB3tnZ1n91ywY88cN92/l5/cs5Pr7tjJD26+j/vu3sX9d+1i5z13U0tnPq5M\nTLFq/f7cvt80/33gA1x3xHp+/mEH8IiZtRy53yrmahOsn6owPbWO6lxmbp352YVrD1qr7+VKCC3t\nKhtyPgJ8XtK5wI0kzVWvBj4s6aT6ThHxb70vopmtcK8C3kEy2motcNhwi2NZ+Vqc+rZOanPKTGJX\nU3WhyaoecOZrwe654MGZGvftmePuXTPcdu8errvzQe67exf33PoAD9x+A7vvvoX52X1TvU2t3Y/d\nBx7B3OwRBWWppP2CakxPTC90ds4GnG6brLpRr80parLK98tZyZ2Py4ac30//PTOzTen2389se1gv\nCmVmlrE9Ir5df5LOn9NTkrYA7wWqwHkR8e5eX2NUdbsQZT+0uiHnm4qy7yHbLLd7Zp65mcXVUPMz\n+5qfZoDq1Gpmdj+EvXtmuXfXLPc8OMPBa6Z4YGaSVRNislJJa0iqVEq0UE2knX/bVbZ2rF+TLC5X\nZYeQH9PncpiZNXKcpG9GxN3p89mme7dJUpVk8eFnATcD35Z0cURc1cvrjLqyK2b3Q6e1DPVanEZW\nT1WZmKoyMVllYmo11alpqrMzzM/spjq1murkFNVVqxf2XzO1OMXMRzBbg4khNANla8jK1IqV7Zez\n0kZYla3JMTMblg8Cn5P0HZIZjw8EPtfD8x8PXBsR1wNIugg4GVhRIWfUlelvMlGFdVNVDlwzxTEH\nrWVXWoszMVmlMlFhcu0G5vfuXtIvZ78D17B2v1VMTVRYPVVdCBX50FBvKutVp+OyOm3+M4ccMxtx\nEXFL2vfvxcAkcF6PL3EESV/DupuAp/b4GtYDRUGnXiuxegKgwkFrJpmeqLB+qspBayZ5/OH7ccu9\nu7n1vj3ct2uGux+cYW52XxPWxGSVw/af5siNazh0/2kOXjPFQWumWD81wWRFTFYWj/AaRMAp6udk\nnXHIMbORIOlhwAkRcWH+tYjYSW5ElaSDgF+LiA90eenR65RiDdX73CQBZF/H32pFrJpImmMOmK4y\nt26S2dpqds/VmI9g92zSKXm2FuyZq7E3M2Rs1USV6YkK66aqrJ+aYNWEWD1RYbLSvKlokHMJZWtz\n6v1yiiYG9AirxRxyzGwkRMR/K/FuktqUfwN+GLFvmlpJ60ial04C7gLe14NL3wxkZ04+Kr3+Iuec\nffbC4xM3bWLTpk09uLR1qn4zz69lBaDZXQvLNiyoAGvSZR5WrSMqqxbm16mfLysbFCoxDzGYWhxr\nbfv27Vy6fXupfRUNpuwu3Fl6CLAuuy0irmurdF1KJwQb5CXNrCRJRETXf0ZKOhZ4AfAUkjm6qsAc\ncBvwNeBTEXFvt9dJrzUB/Ah4JsncX/8JnJrteCwpdu5aOincOMnfxLMdduujgWZr2cf7ViDPr1uV\nHQlU1LSSrf3IjgSarFQWhjvX+7tMVrTQ8bg+hLxoSYdGJivat5bV7C4qe3eimV3wwF3M77iT2gM7\nqO18gNn772du996kfBvXU5maprJ2PdUDD6Oydj2qrzxenaK2au3CLMqweE6eurLfz8XPo+GK7q2+\np1D8fe32e7ocan3Wrlnd8HOn7NpVW4DzWTo/RZB8+JiZ9UxEXEmyAvkgrjUn6TXAF0k+z85faSOr\nWpmoNl6GYNVEZST6kKg2l9TezOwi7rqJ+R13sOeGn/DAT2/ngZ/ezs7bd7J7xx7m9swxMT3B6o3T\nrD1kLasfspH1Rz2ENUcfRXXjQ6huPJjq+oOIqTXUVq0lJtcsudaoLnlhS5Vtrvob4O3Ah+trxpiZ\nDYOk34+Iv+vlOSPi88Dne3nOcdVsnpdkzpikP8ie3BDnetBp1IelncU5dKbsfgAAIABJREFUW6nX\nmlTTPjmTlSqqTFD/Uz7mZpnfcSe77tjBAz+9nbuuvpv7brif2/fMcs9MUs4DpiocsXE1Gx56H7vv\n2MH+D+xiwyOTmY0npqaJ6gSam0xqdJo0a9loKxty9gfe73YiMxskSS8H/gjYmNl8MNDTkLMS1Dvp\n9sughjhnm4Wyjyv1vjbzs1Q3HkztgR1Mrb+TVfuvY2L1fQDsng92z9fYkx43dd8eqrdWmN5vFfN7\nZqjN7Fl0rZhImqzqMyuPimxTlTVXNuScD7wi/dfMbFAeAvxCROytb5D09iGWZ8XodyjK6nTZgWyN\n095KhcmpdQs3tYlD97AOmFi9isrUJNP7rWLtDfex9/4Z5nbPMbF6grUPWcP+x2xg/dEHs/7oQ5jY\neHASkNbsT23NRmJyDfMT0/v6J2WuN+gJ9cqGyOXQx6aXyoacXwD+WNKbSDr+1UVEeIiBmfXLLdmA\nk/rXoZRkmSm73lJVWugsm5Vvshq0bOfepMkqmK+I6sRaVm1YTbU6ycT6g1i78SGsOuwINj76Znbd\nsYO99z7I7P07qU5PMbXfWlYfvP9Cf5yJQ45aCDi16Q2L1sbK6+fMwf3s57SSZjuG8iHnPIon4Bqd\n+jszW46+L+ljJKOf6l1fnwucMLwirUz1zsf1fjnQOuj0e42l7OilpBhJjdDeCqxaewir1h1MZf3B\nTBxyDFOP3c3aHbdT2/UAsTcZKVdZv3HfyKrVG5hbtXYh3OyZqzFXW9rbehgLXZapxSmzpMNKVHbt\nqr/vcznMzIq8Fvg6cF/6XJnH1iP1zsaTlSQ4dLrIZLfqq2a3Y64Wi4a716NwdaaWDqXewOoN+yeT\nBR76uGSoeW0OSP5Kn6tMLDRJzdeCudlgNg03+Wa0Zit693olci/j0Btlh5ALOA14CckU6DcBHwU+\n6M7IZtZHn4uIi7IbJF0xrMKsNAszCqdNVu3U5nRTi9Osj06jMFGfz2e2VltSnsVzylSoalXu2Jni\na0kLkw4OowanSL7T8USTSVzaDYzLUdnmqj8DXgr8BfBT4Gjg9cDhwNlNjjMz68adkp4LXE3yN7qA\nM4BXDbVUY6qXnYnzQafVvt1fLwkZs4v6wtSbqUhfSwLOgzPzC0Fnb8EEP6syyWBfaFD6WoXpiUpS\n5urSlb3rYafXfVt62ccpH8hGJaANQ9mQczrwjIi4ob5B0heBS3HIMbP+uYhkNfDsnepxOOT0RFGt\nSL7JqlFtzrDkg1r9Bj4/v/h97J2bZ+9cbWGtqsWS5R6yAWfVRGVR+GECJqrF4ayTgNOLcNkoTGZn\nOm7HShiJVTbkrCFZJybrbmC6t8UxM1vkdRHx4ewGSS8eVmGWs0764WRrc5rts3CNHs2Pv/jmHICo\n1sRkpcIe6pMSVpeMUNpTkM4aBYdF5U5XI59IFwIdhvzyGNC77+dyVrYO8QvARyU9VtJqSY8DPkwy\nDbqZWc9Iekv9cT7gpB45wOKsaPvWP0qbaNIag+zNdVgT0k0urDyerBa+eqLCqgmxfmqCdVPJquL7\nTU8yWVFhkJkuSAj1/aYnkvWgqtq3Gnk24NQXBi1TE9IqOGa/f40CVzv9m/JrVmWttOHjUHKBTkkb\ngL8GXgxMktT1fRz4w14tkleWF+g0G129WKBT0k3AfwCNzvPUiDi6m2u0azks0JnV6eKSwKI5c4qa\nreo1O0XhJ7+QZLJfGpwKbs75/i/ZFceBRUstzNeC3XPBXC3YM19j92yN+/bMMVsL7tszu1CrU38f\n2T44qyaSUFQPR6snK00DzuL3u3iiwLLfv+z3rqg2bM9crTDc5Gtx8k1V7Sx2ulyaq7peoDMi7gNe\nKuk04CDgrogYYqusmS1j1wOfZWnIiXTbwYMu0ErWqG8OFC/c2ahmp2zTSjvDyOthZ7JSTWt2gr1z\nNSYq1SSkTFbYPVtj3VR1SchJjlvc2bgebiYrYvWEmoabfmsWcKy8hiFH0jERcX36+OG5l9cqTY8R\ncV3fSmdmK9H7IuKfGr0o6f5BFmY5ynfebdYBuUiroNNr9dmF68O5szQ/S5VZojrJKsHkVDJL8eqJ\nJJxNVyuFtVD591MfJp6tuVlUc5Q5tBeLdWa/b532bWpVi5O1XGtxWmnYXCXpgYhYnz5u+N2PiIFG\nSzdXmY2uXjRXjaLl1lwF7TVZLd6WWSAz91ncKOzka3GKRgPlJ93Lb2/UZKX52SXXy68anm9KWlK+\nzDXy5y+SDzm9aO5rFnIadd52U1WiWXNVw4BSDzjp40qjr7KFkLRF0tWSrpH0xib7PUXSnKRfL3tu\nMzPrvaIagezNcckcMtXir6xOlx+Yz4WFetCI6uTCPqrNodocldndVOf2UJ3bw3RtL2uqwZpqsN8k\nrJuqLvmqv75KtYXjND+76KuuWS1OmdFpjd5/o6aoRtsbBRxbrFRIkfRXDba/t+TxVeBcYAvweODU\ndIRW0X7vJhnN5f8xM7M+yf8lX21Rq7J4W+OgMwiNgk5U9vXAqAeeeuipf03MPLjkK/t6/Zis+vnr\n18sqmn25UTNfXj4ATlYqS76K9m/2PV9ptTitlK2JOa3B9peWPP544NqIuD4iZkkm+Dq5YL8/BD4B\n3FnyvGZm1gdFNQPNgk6ZsNNtICoKFM2CDvMz5b8ayNYU1fVq1uh2FHXcdi1Oa01HV0l6ZX0/Sa8g\nqV2p/+8+gvJh5Ajgxszzm4Cn5q51BEnwOQl4Cl7h3Mysr8p0QE7221c7kZ00cMnxmRBT73vSuHmm\nuOaorGwn5JqqVGKeqE6i+VmiMpHUxlSn9h3QJMhk98uGpKIanEV9kgr64rSrVcftMv2Z6lyLs1Sr\nIeQvIQkbk+njugBuB15W8jpl/vffC7wpIiJdELTh/8TWrVsXHm/evJnNmzeXLIaZ9dK2bdvYtm3b\nsIthPZQNOosDTbmgs3Cepk0qrZtbGqmPtILFc95kg07eksBToCjcQOOA067s9yk7Og32BZls2Cmq\nuWnWYduLcRYrOxngORFxVscXkU4AtkbElvT5mUAtIt6d2ec69gWbg4BdwOkRcXHuXB5dZTaiPLpq\nPDUbaQWLaymKRlw1Ok8j+ZDTaGRV/rW6opl7s+fMj4wqGoGVlw9H+f43vfgeNRuZ1kqzCRSTbSzZ\n1ur7tFw0G11VKuQsOiBXyxIRLbtYSZoAfgQ8E7gF+E/g1Ii4qsH+HwQ+ExGfKnjNIcdsRDnkjKei\ncNKsKaZZ0Gl2zqIbbD7ElAk5UP4G3mwoeJGizsWtvj/QfsiBckEnXyPWLODkt6+UpqquZzxO+8uc\nCzwD2MC+kBNAy3ksI2JO0mtI1rqqAudHxFWSzkhff3+ZcpiZWe8VNTk1arZK9l/cdAVLw84wbqj5\nJRugOLS0e768on5LZRT1YWo2QWHR8Uu37XvcqhZnJSrbXPUZYDfwDuBrJGHnrcDnI+L/9rWES8vi\nmhyzETWONTmS/jfwAmAG+AlwWrqUTXafZV2TU9dOk0yyP01fb6VVLU7RPnVlbuKdBq1WzW5FIafX\nTXpZjZr3GgUcWDm1ONCD5ipJ9wBHR8SDku6LiA2SDgD+IyIe2+PytiqLQ47ZiBrTkPNs4CsRUZP0\nLoCIeFNunxUZcqD9oNNov6xGwaWbpqpmyt7gywaQdkJO/rV2rgPl+y+txL44dR3NeJwzl34B7JD0\nEGAnydBwM7OxFRGXZPoWfgs4cpjlGaaiG2H+hllU+9KoBqbRV/G1Oy93K7O1WPhq57V+KRM4JjNL\nTABLvncOOOWU6pND0lH4ucCnSfrVfIyk+eqyPpXLzGwYXgFcOOxCDFOr/jmwtI9Oclzyb9nZfouO\nLaPbviaDCDP5xU2Lv1/l30ezZr1Wcwyt5IAD5UPO77Cv1udPgNcB60jmtjEzG2mSLgEOLXjpzyLi\nM+k+ZwEzEfGPRec45+yzFx6fuGkTmzZt6kdRR0LZoANFHY6Tf8uGnUYBp1+z+OZv+sOYvbisou9B\nO/1wlqvt27dz6fbtpfZtewj5sLlPjtnoGsc+OQCSXg6cDjwzIvYUvL4i+uRktTOyqEyH42zoKVNz\nM6r9caDc96Ao5JXtmN0q3BTts5KbqbrukyNplaS3S7pW0q50JfGzJU33tqhmZoMlaQvweuDkooCz\nUjW6QRbdTJv1tdl3vsb9d4rOV/baja+ntm7yvQ4ErfoptfOaA07nyo6uugB4NHAO8FPgaOAs4JqI\nOK2vJVxaFtfkmI2ocazJkXQNMAXck276RkS8OrfPiqvJqWtWw9FovphO13GC5s1UZUNONzf4MjU6\nZWuzOumflFVmSH2j78lKCjm9GkL+iIjYkdl2APCTiNjYs5KW4JBjNrrGMeSUsZJDDnQWdOq6aaLJ\n6+fcOHWdhhzoXdAp20/JASfR9YzHwK3AGmBHZttqkiUazMxsGWu0CCfsu9E2uvH3qgPxoDrVNnuv\nnZ0v+bdM2GmnE7YDTjllQ85HgM9LOhe4kaS56tXAhyWdVN8pIv6t90U0M7Nha3Xzz4++6qVBNFP1\nQtFQ8bpO5wFywOlO2eaq69OH2Z2Ve05EPKxnJWtcFjdXmY0oN1etDJ0se9Cpdjsbd6ubWY+hu/5I\nWe12vl7JAafr5qqIOKanJTIzs7FVplanrpvAM47zvjSaP6idY4s0+16s5IDTStnmKjMzswVl+64U\n3ZwbBZ9xDDWNlA073Xa4dsBprlTIkXRjg5ciIo7uYXnMzGxM1G+w7XbU7UeYGfTNvmwfpG46Xrf6\nPjngtFa2JuclueeHAv8DuKi3xTEzs3HTadjp9fV7da6y76Nfna0HMVR+peh4WQdJhwJfiIjjeluk\nltd1x2OzEeWOxwaDDTv9uNm3W/5eBZ1xGUU2anoxT06RvUDfR1OZmdl4GVTNzqjc7FvNFVTm2DJG\n5f2Ok7J9ct5OMly8/h1eAzwP+HyfymVmZmMue1PuVeAZxI2+0wkB+9lx2gGnM2Vrco5i8Zw4O4G/\nIJkk0MzMrKn8TbpsiFjpN/eV/v671XGfnGFxnxyz0eU+ObbcLIfO1Mtdsz45pSaalvQmSU/JbTte\n0ht6UUAzM7NRNOiwMVmRA04PlV3W4TbgkRHxYGbbeuDHEXFYH8tXVBbX5JiNKNfk2HLWr1odh5ru\n9GJ01SQwk9s2A6zqpmBmZmbjopejxhxsBqPsuqjfBf4gt+330+1mZmYrRr1Jqeirk/2sf8o2Vz0B\n+DJwC3Ad8HDgMODZEfGDvpZwaVncXGU2otxcZWaD1qy5qvToqrQPzgtIhpP/FPjXbB+dQXHIMRtd\nDjlmNmhdhxxJRwK7IuKezLYDgOmIuKVnJS3BIcdsdDnkmNmgdT2EHPhn4IjctiOBT3dTMDMzM7N+\nKVuTc39E7JfbJuC+/PZ+c02O2ehazjU5u3cubp2vqTqk0phZVi9qcu6Q9KjctkcAd3VVMjOzESDp\ndZJqaTN8KZWY72eRzKwHyoacC4BPSvoVSY+X9ELgk8D5/SuamVn/SToKeDZwQ7vHOuiYjbaykwG+\nG5gF/pykL86NwHnAX/apXGZmg/KXwBuAf+nk4ErMu+nKbESVCjkRMQ/87/TLzGxZkHQycFNEfC/p\nZmhmy0nLkCNpEvgdkurcA0n64XwF+EhEzPa3eGZm3ZF0CXBowUtnAWcCz8nu3ug8Z59zzsLjTSee\nyKZNmwB3QDbrt2yzcE1Vtm/fzqXbt5c6tunoKkkbgEuAY4DPAbeRzHS8haTJ6pkRcV+nBe+ER1eZ\nja5xGl0l6WdI/mDblW46ErgZOD4i7sjtu2h0lYON2WA06veW/R3seDJASX8DPBR4UUTszGxfB3wc\nuCEiXtVRyTvkkGM2usYp5ORJ+m/gydlJTzOveTJAsyFo1rm/HnS6GUL+a8CrswEHIF3O4dXp66VJ\n2iLpaknXSHpjweu/LelKSd+T9HVJT2zn/GZmXfBfT2YjpNXoxTKjG1vV5OwE9ks7HudfmySZDHBN\ny6sk+1eBHwHPIqkS/jZwakRcldnnF4AfRsR9krYAWyPihNx5XJNjNqLGuSanGdfkmA1HmSCzeu26\njmtyrgOe2eC1k4CftLz6PscD10bE9WmH5YuAk7M7RMQ3Mn18vkXSRm5mZmbWtlYh5y+AD0v6DUkV\nAEkVSb8JfAh4TxvXOoKks3LdTSxdDyvrlSSdnc3MzGwF6raTf9Mh5BHx95IOBD4IXCjpLuAgYC/w\nvyLigjauVbqNSdIvAa8AfrHo9a1bty483rx5M5s3b26jGGbWK9u2bWPbtm3DLoaZLWM1VTueXbzs\nAp37AU8jCTh3AdlmpXIXkk4g6WOzJX1+JlCLiHfn9nsi8ClgS0RcW3CetvrknPKyU7h3z70A7D+9\nP8Ci5xd96KJ23oaZNeE+OWbWL42CTrM+OWVnPL4f+ELnRQPgMuBRko4BbgFeDJya3UHS0SQB53eK\nAk4n7t1zLw/9nYcCcMNHk6Vp8s/NzMxstHVSo1N27aquRcScpNcAXwSqwPkRcZWkM9LX3w+8BdgI\n/G06xfpsRBw/qDKamZnZ6Go36Aws5ABExOeBz+e2vT/z+HeB3x1kmczMulH0gesZkc36p52g02p0\nlZmZFajEfMMP2k47SZpZOWX/kHDIMTMrqR5syoQYBx2z/ioTdBxyzMxKcGgx652yfyy00iroDLRP\njpnZSuF+OWZL5YNN/Xm/fl9ck2Nm1mMOOGbt6VdN6Yquybnyu1ey5cVbFp57ckAz65YDjlmxMquK\n9/r3Z0WHnNnq7MLEgODJAc2sOw44Zt3pddBZdiGnaBkHM7N+crgxa63s/Da9DDrLLuQULeNgZtYv\nDjhmvderoOOOx2ZmHXLAMWtPO78zveiMvOxqcszM+qEfgaYfHS3NRl1byzJ0+TvimhwzswHLToTW\nq0nRzJarbn4/HHLMzAbIgcas/ZrRTn9vHHLMzEroRThxwDHbp5Og0+7vkEOOma1okv5Q0lWSvi/p\n3f26jgOO2VKd9Ldp53fJHY/NbMWS9EvAC4EnRsSspIOb7d9JJ0iHG7Pm2umI3C7X5JjZSvYq4J0R\nMQsQEXe2OqCdD+Oy+3qEla10/fodcE1ORnYtK69jZbYiPArYJOkdwB7gTyPisl6c2DU4thLkf84H\nEdjbuYZDTkZ2LSvPlmy2PEi6BDi04KWzSD4DN0bECZKeAnwceHjRed5+zjsRNQA2nXgiT3/GLzW8\nZjsBx7U4Nq6Kfs67mdembLPV9u3buXT79lLndMgxs2UtIp7d6DVJrwI+le73bUk1SQdGxN35fc96\n85uBzAd7Dybyc8CxcdUsjPQz6NRUZdOmTWzatGnhWu94xzmNy9JRKczMlod/Bk4CkPRoYKoo4GRl\nP7y7mcjPAceWs26aaxv9buS3l7mGa3LMbCW7ALhA0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xwzMzNblhxyzMzMbFlyyDEzM7Nl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\nQ1Hp/ZkoJNUIWa1plm+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"text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Versions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%reload_ext version_information\n", "%version_information numpy, scipy, matplotlib, qutip" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python3.4.0 (default, Apr 11 2014, 13:05:11) [GCC 4.8.2]
IPython3.0.0-dev
OSposix [linux]
numpy1.9.0
scipy0.14.0
matplotlib1.4.x
qutip3.1.0.dev-d930a1e
Mon Oct 06 02:20:01 2014 JST
" ], "json": [ "{\"Software versions\": [{\"version\": \"3.4.0 (default, Apr 11 2014, 13:05:11) [GCC 4.8.2]\", \"module\": \"Python\"}, {\"version\": \"3.0.0-dev\", \"module\": \"IPython\"}, {\"version\": \"posix [linux]\", \"module\": \"OS\"}, {\"version\": \"1.9.0\", \"module\": \"numpy\"}, {\"version\": \"0.14.0\", \"module\": \"scipy\"}, {\"version\": \"1.4.x\", \"module\": \"matplotlib\"}, {\"version\": \"3.1.0.dev-d930a1e\", \"module\": \"qutip\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 3.4.0 (default, Apr 11 2014, 13:05:11) [GCC 4.8.2] \\\\ \\hline\n", "IPython & 3.0.0-dev \\\\ \\hline\n", "OS & posix [linux] \\\\ \\hline\n", "numpy & 1.9.0 \\\\ \\hline\n", "scipy & 0.14.0 \\\\ \\hline\n", "matplotlib & 1.4.x \\\\ \\hline\n", "qutip & 3.1.0.dev-d930a1e \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Mon Oct 06 02:20:01 2014 JST} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 33, "text": [ "Software versions\n", "Python 3.4.0 (default, Apr 11 2014, 13:05:11) [GCC 4.8.2]\n", "IPython 3.0.0-dev\n", "OS posix [linux]\n", "numpy 1.9.0\n", "scipy 0.14.0\n", "matplotlib 1.4.x\n", "qutip 3.1.0.dev-d930a1e\n", "\n", "Mon Oct 06 02:20:01 2014 JST" ] } ], "prompt_number": 33 } ], "metadata": {} } ] }