{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this example we simulate ambiguous resonances in multipulse quantum sensing with nitrogen vacancy (NV) centers in diamonds. This notebook closely follows the work from \"Ambiguous Resonances in Multipulse Quantum Sensing with Nitrogen Vacancy Centers\" available at https://doi.org/10.1103/PhysRevA.111.022606 . \n", "\n", "As this is a quite complex problem, physics discussions will be kept to a minimum here in favor of a focus to the simulation. For a detailed explanation of the problem, please refer to the original paper." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from qutip import tensor, jmat, qeye\n", "\n", "from quaccatoo import NV, XY8, RXY8, Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. Field Misalignment and $^{15}\\text{N}$ Coupling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We begin simulating a XY8-2 sequence with a misaligned magnetic field, as in Sec. IV A of the paper. Initially, we define the NV system with the experimental parameters of the paper and the XY8 pulse sequence." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys = NV(\n", " N=15,\n", " B0 = 39.4,\n", " units_B0='mT',\n", " theta=2.6,\n", " units_angles='deg'\n", ")\n", "\n", "w1 = 20\n", "\n", "XY8_15N = XY8(\n", " M=2,\n", " free_duration = np.linspace(.25, .36, 100),\n", " pi_pulse_duration = 1/2/w1,\n", " system = qsys,\n", " H1 = w1*qsys.MW_H1,\n", " # MW frequency for the ms=0 --> ms=+1 state transition\n", " pulse_params = {'f_pulse': qsys.MW_freqs[1]}, \n", " # Number of time steps in each MW pulse\n", " time_steps=100\n", ")\n", "\n", "XY8_15N.plot_pulses(tau=.1, figsize=(12, 4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can observe the 16 $\\pi$-pulses plus the initial and final $\\pi/2$ pulses. Now to run the experiment as in Fig. 3 (d):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_15N.run()\n", "Analysis(XY8_15N).plot_results(title=r'XY8-2 $B_0=39$ mT $\\theta_0=2.6^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Increasing the XY8 order. First for $M=4$:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_15N.M = 4\n", "XY8_15N.run()\n", "Analysis(XY8_15N).plot_results(title=r'XY8-4 $B_0=39$ mT $\\theta_0=2.6^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$M=6$:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_15N.M = 6\n", "XY8_15N.run()\n", "Analysis(XY8_15N).plot_results(title=r'XY8-6 $B_0=39$ mT $\\theta_0=2.6^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$M=8$:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_15N.M = 8\n", "XY8_15N.run()\n", "Analysis(XY8_15N).plot_results(title=r'XY8-8 $B_0=39$ mT $\\theta_0=2.6^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, changing the field for XY8-2 as in Fig. 3 (c). First, $B_0=33$ mT and $\\theta_0 = 5.1^\\circ$:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys = NV(\n", " N=15,\n", " B0 = 33,\n", " units_B0='mT',\n", " theta=5.1,\n", " units_angles='deg'\n", ")\n", "\n", "XY8_15N = XY8(\n", " M=2,\n", " free_duration = np.linspace(.22, .45, 100),\n", " pi_pulse_duration = 1/2/w1,\n", " system = qsys,\n", " H1 = w1*qsys.MW_H1,\n", " pulse_params = {'f_pulse': qsys.MW_freqs[1]}\n", ")\n", "\n", "XY8_15N.run()\n", "Analysis(XY8_15N).plot_results(title=r'XY8-2 $B_0=33$ mT $\\theta_0=5.1^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$B_0=26$ mT and $\\theta_0 = 9.3^\\circ$:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys = NV(\n", " N=15,\n", " B0 = 26, \n", " units_B0='mT',\n", " theta = 9.3,\n", " units_angles='deg'\n", ")\n", "\n", "XY8_15N = XY8(\n", " M=2,\n", " free_duration = np.linspace(.22, .45, 100),\n", " pi_pulse_duration = 1/2/w1,\n", " system = qsys,\n", " H1 = w1*qsys.MW_H1,\n", " pulse_params = {'f_pulse': qsys.MW_freqs[1]}\n", ")\n", "\n", "XY8_15N.run()\n", "Analysis(XY8_15N).plot_results(title=r'XY8-2 $B_0=26$ mT $\\theta_0=9.3^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$B_0=17$ mT and $\\theta_0 = 17^\\circ$:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys = NV(\n", " N=15, \n", " B0 = 17, \n", " units_B0='mT',\n", " theta=17,\n", " units_angles='deg'\n", ")\n", "\n", "XY8_15N = XY8(\n", " M=2,\n", " free_duration = np.linspace(.25, .45, 100),\n", " pi_pulse_duration = 1/2/w1,\n", " system = qsys,\n", " H1 = w1*qsys.MW_H1,\n", " pulse_params = {'f_pulse': qsys.MW_freqs[1]}\n", ")\n", "\n", "XY8_15N.run()\n", "Analysis(XY8_15N).plot_results(title=r'XY8-2 $B_0=17$ mT $\\theta_0=17^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we now include a pulse length error, as in Fig. 6, we have:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_15N = XY8(\n", " M=2,\n", " free_duration = np.linspace(.25, .45, 100), \n", " pi_pulse_duration = 1/2/w1*.8,\n", " system = qsys,\n", " H1 = w1*qsys.MW_H1,\n", " pulse_params = {'f_pulse': qsys.MW_freqs[1]}\n", ")\n", "\n", "XY8_15N.run()\n", "Analysis(XY8_15N).plot_results(title=r'XY8-2 $B_0=17$ mT $\\theta_0=17^\\circ$, pulse lenght=0.8 $t_{\\pi}$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. 13C Coupling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As in Sec. IV B, we need to define the coupling Hamiltonian $H_2$ in the same way as Eq. 3 of the paper. We begin defining the coupling tensor shown in Appendix D and the Zeeman Hamiltonian. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "A = np.empty((3, 3), dtype=object)\n", "A[0, 0] = -0.25\n", "A[0, 1] = -1.85\n", "A[0, 2] = -.49\n", "A[1, 0] = A[0, 1]\n", "A[1, 1] = 0\n", "A[1, 2] = .01\n", "A[2, 0] = A[0, 2]\n", "A[2, 1] = A[1, 2]\n", "A[2, 2] = 1.01\n", "\n", "HhfC = (\n", "A[0,0]*tensor(jmat(1,'x'), qeye(3), jmat(1/2,'x')) + A[0,1]*tensor(jmat(1,'x'), qeye(3), jmat(1/2,'y')) + A[0,2]*tensor(jmat(1,'x'), qeye(3), jmat(1/2,'z'))\n", "+ A[1,0]*tensor(jmat(1,'y'), qeye(3), jmat(1/2,'x')) + A[1,1]*tensor(jmat(1,'y'), qeye(3),jmat(1/2,'y')) + A[1,2]*tensor(jmat(1,'y'), qeye(3), jmat(1/2,'z'))\n", "+ A[2,0]*tensor(jmat(1,'z'), qeye(3), jmat(1/2,'x')) + A[2,1]*tensor(jmat(1,'z'), qeye(3), jmat(1/2,'y')) + A[2,2]*tensor(jmat(1,'z'), qeye(3), jmat(1/2,'z'))\n", ")\n", "\n", "def Hzc(B0, theta):\n", " return 10.705e-3*B0*tensor(qeye(3), qeye(3), np.cos(theta*np.pi/180)*jmat(1/2,'z') + np.sin(theta*np.pi/180)*jmat(1/2,'x'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we define the NV Hamiltonian and use the `add_spin` method to introduce the 13C nuclear spin." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys = NV(\n", " N=14,\n", " B0 = 18,\n", " units_B0='mT',\n", " theta=2.34,\n", " units_angles='deg',\n", ")\n", "\n", "qsys.add_spin(HhfC + Hzc(qsys.B0, qsys.theta))\n", "\n", "XY8_13C = XY8(\n", " M=2,\n", " free_duration = np.linspace(.4, .85, 100), \n", " pi_pulse_duration = 1/2/w1,\n", " system = qsys,\n", " H1 = w1*qsys.MW_H1,\n", " pulse_params = {'f_pulse': qsys.MW_freqs[1]}\n", ")\n", "\n", "XY8_13C.run()\n", "Analysis(XY8_13C).plot_results(title=r'XY8-2 $^{13}$C, $B_0=18$ mT, $\\theta_0=2.34^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Increasing the field as in Fig. 4 (a) for $B_0=31$ mT and $\\theta_0 = 1.35^\\circ$:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys = NV(\n", " N=14,\n", " B0 = 31,\n", " units_B0='mT',\n", " theta=1.35,\n", " units_angles='deg',\n", ")\n", "\n", "qsys.add_spin(HhfC + Hzc(qsys.B0, qsys.theta))\n", "\n", "XY8_13C = XY8(\n", " M=2,\n", " free_duration = np.linspace(.4, .85, 100), \n", " pi_pulse_duration = 1/2/w1,\n", " system = qsys,\n", " H1 = w1*qsys.MW_H1,\n", " pulse_params = {'f_pulse': qsys.MW_freqs[1]}\n", ")\n", "\n", "XY8_13C.run()\n", "Analysis(XY8_13C).plot_results(title=r'XY8-2 $^{13}$C, $B_0=31$ mT, $\\theta_0=1.35^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$B_0=40$ mT and $\\theta_0 = 1.14^\\circ$:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys = NV(\n", " N=14,\n", " B0 = 40,\n", " units_B0='mT',\n", " theta=1.14,\n", " units_angles='deg',\n", ")\n", "\n", "qsys.add_spin(HhfC + Hzc(qsys.B0, qsys.theta))\n", "\n", "XY8_13C = XY8(\n", " M=2,\n", " free_duration = np.linspace(.4, .85, 100), \n", " pi_pulse_duration = 1/2/w1,\n", " system = qsys,\n", " H1 = w1*qsys.MW_H1,\n", " pulse_params = {'f_pulse': qsys.MW_freqs[1]}\n", ")\n", "\n", "XY8_13C.run()\n", "Analysis(XY8_13C).plot_results(title=r'XY8-2 $^{13}$C, $B_0=40$ mT, $\\theta_0=1.14^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we keep the field constant and increase the order, as in Fig. 4(b). $M=4$:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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vx7x58/Dcc8+htLQUvXr1wpo1a3Dbbbd5+9RE9jw3NuvWrcNDDz2EGTNmQK/XY+LEidixYwc6d+4sHuOt5+Uvf/mLrDjjs88+w2effQYAOH36tHiOgiDAbDaLo+ccvT8ROU4lCBz0RuRPNm7ciBtuuAF79+5tceapM6qqqhAdHY1Tp06JS8tXX3017rrrLtx3332KfI9LgdLPDZ8XImqKxQlEfmbTpk247bbbFAvaAGtm56abbsKCBQtQW1uLb775Bnv27HF6YsOlSunnhs8LETXFjBsRAbD2C7v77rtl/cIyMjK8fVqXPD4vRCTFwI2IiIjIT3CplIiIiMhPMHAjIiIi8hMM3IiIiIj8xCXXx81iseDcuXMICwvjUGMiIiIHCIKAyspKJCUlQa1m7scbLrnA7dy5c7LxMUREROSY3NxcsbcgeZbXA7dly5bh1VdfRX5+Pvr27YulS5fiiiuuaPHYe+65B//617+a3d6nT59WZ/c1FRYWBsD6S9d0lAwRERG1rqKiAikpKeJ7KXmeVwO3tWvXYvbs2Vi2bBlGjx6Nd999FxMnTsShQ4fQqVOnZse/8cYbePnll8XPTSYTBg4ciD//+c92f0/b8mh4eDgDNyIiIidwq5H3eLWP2/DhwzFkyBAsX75cvK13796YPHkyFi1a1O79v/jiC9x88804ffo0UlNTWzzGYDDAYDCIn9v+WigvL2fgRkRE5ICKigpERETwPdSLvLaz0Gg0YufOnc06gGdkZCArK8uux1i5ciXGjRvXatAGAIsWLUJERIT4wf1tRERE5K+8FrgVFxfDbDYjPj5ednt8fDwKCgravX9+fj6+++473H///W0eN3fuXJSXl4sfubm5Lp03ERERkbd4vTih6Tq5IAh2rZ2vXr0akZGRmDx5cpvH6XQ66HQ6V06RiIjI7QRBgMlkgtls9vaptMpoNCI1NRVGoxF1dXXePp2LRmBgIDQajV3Hei1wi42NhUajaZZdKywsbJaFa0oQBHzwwQe46667oNVq3XmaREREbmc0GpGfn4+amhpvn0qbLBYL3nnnHZw/fx5FRUXePp2LhkqlQseOHREaGtrusV4L3LRaLdLT05GZmYk//elP4u2ZmZm46aab2rzv5s2bceLECcyYMcPdp0lERORWFosFp0+fhkajQVJSErRarc9WbZrNZtTW1qJz5852Z4iobYIgoKioCGfPnkX37t3b/bl6dal0zpw5uOuuuzB06FCMHDkSK1asQE5ODmbOnAnAuj8tLy8PH374oex+K1euxPDhw9GvXz9vnDYREZFijEYjLBYLUlJSEBwc7O3TaZNtGVev1zNwU1BcXByys7NRX1/v24Hb1KlTUVJSgoULFyI/Px/9+vXDxo0bxSrR/Px85OTkyO5TXl6OdevW4Y033vDGKRMREbkFR0hduhzJsHq1j5s3sAcNERH5krq6Opw+fRppaWnQ6/XePp02mc1m7N69G4MHD2bGTUGO/A54vaqUyN+YLQK+3Z8Pk9mCsb06IDKYBTJEROQZzMsSOWhPbhm+3J2Hb/fl4+l1+/H5zrOoMZq8fVpERD6rc+fOWLp0qbdPwylXXXUVZs+e3eYxnrw+Bm5EDsotbSzXrzdb8N3+fPxt3X58fyAfRpPFi2dGROR5ubm5mDFjhlgRm5qaiscffxwlJSXePrWLEgM3IgcVVjY2nbTtJ60xmPDZjrN4+bsjuMS2jRLRJezUqVMYOnQojh07hjVr1uDEiRN455138NNPP2HkyJEoLS31ynmZzWZYLBfnH9IM3IgcVFhhAGAN2l6Y3B+jusWKAdyZkmoUVxm9eHZERJ7z8MMPQ6vV4scff8SYMWPQqVMnTJw4Ef/973+Rl5eHefPmicdWVlbijjvuQGhoKJKSkvDWW2/JHmvBggXo1KkTdDodkpKS8Nhjj4lfMxqNeOqpp5CcnIyQkBAMHz4cv/zyi/h12zSlb775Bn369IFOp8N7770HvV6PsrIy2fd57LHHMGbMGABASUkJbr/9dnTs2BHBwcHo378/1qxZ0+w6TSYTHnnkEURGRiImJgbPPPNMm3+kl5eX48EHH0SHDh0QHh6OsWPHYu/evY78aFvF4gQiBxVWWgO3yGAtEiL0mHF5GoICNfjp8HkAQFmNEXFhHLNGRK5Z+PUhlNfWe/z7RgQF4rkb+7R7XGlpKX744Qe8+OKLCAoKkn0tISEB06ZNw9q1a7Fs2TIAwKuvvor/+7//w4IFC/DDDz/giSeeQK9evTB+/Hh8/vnnWLJkCT755BP07dsXBQUFskDn3nvvRXZ2Nj755BMkJSVhw4YNuPbaa7F//350794dAFBTU4NFixbh/fffR0xMDDp27Ij58+dj3bp1YsN+s9mMTz/9FAsXLgRgreZMT0/H3/72N4SHh+Pbb7/FXXfdhS5dumD48OHi9//Xv/6FGTNmYPv27dixYwcefPBBpKam4oEHHmj2cxEEAddffz2io6OxceNGRERE4N1338U111yDY8eOITo62sFnRI6BG5EDqg0mVBushQjx4Y3BWXRIY2XphRrP/0dLRBef8tp6lNX4bgb/+PHjEAQBvXv3bvHrvXv3xoULF8TRWKNHj8bTTz8NAOjRowe2bt2KJUuWYPz48cjJyUFCQgLGjRuHwMBAdOrUCcOGDQMAnDx5EmvWrMHZs2eRlJQEAHjyySfx/fffY9WqVXjppZcAAPX19Vi2bBkGDhwonsPUqVPxn//8RwzcfvrpJ1y4cAF//vOfAQDJycl48sknxeMfffRRfP/99/jss89kgVtKSgqWLFkClUqFnj17Yv/+/ViyZEmLgdumTZuwf/9+FBYWirPSX3vtNXzxxRf4/PPP8eCDDzrx027EwI3IAbZsGwDEhTYGbpHBgeK/L/jwf7RE5D8iggLbP8iHv69tKdHWXHbkyJGyr48cOVKsxPzzn/+MpUuXokuXLrj22mtx3XXX4cYbb0RAQAB27doFQRDQo0cP2f0NBgNiYmLEz7VaLQYMGCA7Ztq0aRg5ciTOnTuHpKQkfPzxx7juuusQFRUFwJqBe/nll7F27Vrk5eXBYDDAYDAgJCRE9jgjRoyQNckdOXIkXn/9dZjN5mb97Hbu3ImqqirZuQFAbW0tTp48adfPri0M3IgcUCQJ3DqENzZJjJL0cvPlv5CJyH/Ys1zpTd26dYNKpcKhQ4cwefLkZl8/cuQIoqKiEBsb2+pj2IKhlJQUHD16FJmZmfjvf/+LWbNm4dVXX8XmzZthsVig0Wiwc+fOZkGSdCh7UFBQswkEw4YNQ9euXfHJJ5/gL3/5CzZs2IBVq1aJX3/99dexZMkSLF26FP3790dISAhmz54No9H5/8ctFgsSExNle/BsIiMjnX5cGwZuRA6QVpRKl0qjZBk3LpUS0cUvJiYG48ePx7Jly/DEE0/I9rkVFBTg448/xvTp08Vg6vfff5fd//fff0evXr3Ez4OCgjBp0iRMmjQJDz/8MHr16oX9+/dj8ODBMJvNKCwsxBVXXOHwed5xxx34+OOP0bFjR6jValx//fXi17Zs2YKbbroJd955JwBr0HX8+PFmy78tnXtrA+GHDBmCgoICBAQEoHPnzg6fb3tYVUrkgPMV0qXSxoybdHoCl0qJ6FLxz3/+EwaDARMmTMCvv/6K3NxcfP/99xg/fjySk5Px4osvisdu3boVr7zyCo4dO4a3334bn332GR5//HEA1qrQlStX4sCBAzh16hT+/e9/IygoCKmpqejRowemTZuG6dOnY/369Th9+jT++OMP/OMf/8DGjRvbPcdp06Zh165dePHFF3HrrbfKRkp169YNmZmZyMrKwuHDh/HQQw+hoKCg2WPk5uZizpw5OHr0KNasWYO33npLPPemxo0bh5EjR2Ly5Mn44YcfkJ2djaysLDzzzDPYsWOHoz/iZhi4ETlAvlTamHHTBqgRrLMmsMuqmXEjoktD9+7dsWPHDnTt2hVTp05F165d8eCDD+Lqq6/Gtm3bZBWU/+///T/s3LkTgwcPxvPPP4/XX38dEyZMAGBdQnzvvfcwevRoDBgwAD/99BO+/vprcZ/YqlWrMH36dPy///f/0LNnT0yaNAnbt29HSkqKXed42WWXYd++fZg2bZrsa88++yyGDBmCCRMm4KqrrkJCQkKLy77Tp09HbW0thg0bhocffhiPPvpoq0UGKpUKGzduxJVXXon77rsPPXr0wG233Ybs7GzEx8fb+6NtFYfMEzlgzqd7UF5Tj/CgQCyZOkj2tee+PIC8C7UI0Kjwzp3pzfZaEBG1hEPmyZHfAWbciOxUV29GecP+tQ4t9GmzLZeazAKqDJxdSkREymPgRmQn6TJpSw12pQUKZSxQICIiN2DgRmSnwlZagdjIW4IwcCMiIuUxcCOyU5GkFUjLS6VswktERO7FwI3ITrKMW4tLpWwJQkTOu8RqBUnCkeeegRuRnQor2l4qjeQeNyJyQmCg9f+OmpoaL58JeYttUoM9lbqcnEBkJ9vUhCCtBqG65i8dNuElImdoNBpERkaisLAQABAcHOyz7YTMZjMAa/sKtgNRhsViQVFREYKDgxEQ0H5YxsCNyA71ZgtKq63BWHwL2TYACNcHQKNWwWwRmHEjIockJCQAgBi8+SqLxYLi4mJkZ2dDreainVLUajU6depkV8DOwI3IDiVVRti2ILS0vw2wdsuOCApEabWRGTcicohKpUJiYiI6dOiA+nrf/cOvqqoK119/PXbs2CEb8E6u0Wq1dgfCDNyI7HC+QlJRGt5y4AYAUSFalFYbUVVnQr3ZgkAN/yIlIvtpNBqfXoI0Go04c+YMtFqtz095uFjxXYXIDvKK0tb/s2KBAhERuRMDNyI7FLXTCsRG3oSXy6VERKQsBm5EdpAtlbaRcYuSNeFlxo2IiJTFwI3IDralUl2gGuFBrW8NjWTGjYiI3IiBG1E7zBYBJVXWwC0uVNdmuTbnlRIRkTsxcCNqR2m1EWaLtRdISxMTpKI4r5SIiNyIgRtROwolw+Xj2ihMAIAI7nEjIiI38nrgtmzZMqSlpUGv1yM9PR1btmxp83iDwYB58+YhNTUVOp0OXbt2xQcffOChs6VLUXvD5aV0ARoEaa09mLjHjYiIlObVBrxr167F7NmzsWzZMowePRrvvvsuJk6ciEOHDqFTp04t3mfKlCk4f/48Vq5ciW7duqGwsBAmk8nDZ06XkiLJcPnWxl1JRQVrUWusxYUaIwRB8NmZg0RE5H+8GrgtXrwYM2bMwP333w8AWLp0KX744QcsX74cixYtanb8999/j82bN+PUqVOIjo4GAHTu3NmTp0yXIGkrkPaWSgHrPrdzZbUwmQVUG80tDqQnIiJyhteWSo1GI3bu3ImMjAzZ7RkZGcjKymrxPl999RWGDh2KV155BcnJyejRoweefPJJ1NbWtvp9DAYDKioqZB9EjrAtlWrUKkRLqkZbI20JcqGay6VERKQcr6UCiouLYTabER8fL7s9Pj4eBQUFLd7n1KlT+O2336DX67FhwwYUFxdj1qxZKC0tbXWf26JFi/D3v/9d8fOnS4MgCOLUhLgwHdTq9pc9o0LkY69Sot12ekREdInxenFC0/0/be0JslgsUKlU+PjjjzFs2DBcd911WLx4MVavXt1q1m3u3LkoLy8XP3JzcxW/Brp4VTQMiwfsWyYFmmTcWKBAREQK8lrGLTY2FhqNpll2rbCwsFkWziYxMRHJycmIiIgQb+vduzcEQcDZs2fRvXv3ZvfR6XTQ6ex7wyVqqqK2saVHRFBgG0c2imLgRkREbuK1jJtWq0V6ejoyMzNlt2dmZmLUqFEt3mf06NE4d+4cqqqqxNuOHTsGtVqNjh07uvV86dJU7lTgJl8qJSIiUopXl0rnzJmD999/Hx988AEOHz6MJ554Ajk5OZg5cyYA6zLn9OnTxePvuOMOxMTE4N5778WhQ4fw66+/4q9//Svuu+8+BAUFeesy6CJWUdcYeIXr7QvcuFRKRETu4tU+BVOnTkVJSQkWLlyI/Px89OvXDxs3bkRqaioAID8/Hzk5OeLxoaGhyMzMxKOPPoqhQ4ciJiYGU6ZMwQsvvOCtS6CLXEVtY4/AcDszbuH6AKjVKlgsAjNuRESkKK83mJo1axZmzZrV4tdWr17d7LZevXo1W14lchfpHrfwIPteLiqVChFBgbhQbeT0BCIiUpTXq0qJfJkzS6VA4z63SklVKhERkasYuBG1QZ5xsz9wk+5zkxY4EBERuYKBG1EbKuqse9w0ahVCGobH20PaEoTLpUREpBQGbkRtsGXcwvSBDg2Ll7YEucACBSIiUggDN6JWCIIgZtzC9I7V8XBeKRERuQMDN6JWVBpMEAQBgP3Nd22azislIiJSAgM3olY4W5gAcOwVERG5BwM3olbImu86vFTKPW5ERKQ8Bm5ErZD1cHMw46YL0EAXaH15VRkYuBERkTIYuBG1QrZU6kDzXRt9oLV9SK2RDXiJiEgZDNyIWmGrKAXsH3clFdzQ96223tTOkURERPZh4EbUClczbiFaa7BnqLfAxLFXRESkAAZuRK2Q7nGLCHZ+qRQA6kwM3IiIyHUM3IhaYasqVamAUK3zS6UAUGPgcikREbmOgRtRK2wZtzB9INRq+8dd2QTrGoO9GqNZsfMiIqJLFwM3ohYIgiDucXO0h5tNsGSptLaegRsREbmOgRtRC2qMZpgt1nFXjvZwswmSLpUauVRKRESuY+BG1AJZYYKTgZtsjxuXSomISAEM3IhaIB935Wzgxj1uRESkLAZuRC2Qj7tybo9bkHSPGwM3IiJSAAM3ohaU17jWfBcAgnVcKiUiImUxcCNqgTTjFub0UimLE4iISFkM3IhaIB135XRxQmDjEiuXSomISAkM3Iha4OqAeaBJOxD2cSMiIgUwcCNqgTTjFqpzLnAL1KigaZi4wIwbEREpgYEbUQtse9xCdAEI0Dj3MlGpVOI+N+5xIyIiJTBwI2rCOu7KGmg5u0xqE9TQy41VpUREpAQGbkRN1NVbUG+2AHC+MMHGlnGrqzdDEASXz42IiC5tDNyImpA133WyFYiNLXATBGtASERE5AoGbkRNVMqmJrgauEnHXnGfGxERuYaBGylOEAQUVtTBaPLPDFN5rXIZt6DAxpcY97kREZGrvB64LVu2DGlpadDr9UhPT8eWLVtaPfaXX36BSqVq9nHkyBEPnjG157sDBZi7fj9e+/EozBb/29clGzDvYnECB80TEZGSvBq4rV27FrNnz8a8efOwe/duXHHFFZg4cSJycnLavN/Ro0eRn58vfnTv3t1DZ0ztEQQBPx8pBACcLKzC/06XevmMHKfoHjfJvNJaNuElIiIXeTVwW7x4MWbMmIH7778fvXv3xtKlS5GSkoLly5e3eb8OHTogISFB/NBoNG0eT55TVGnAhWqj+Pl3B/L9rppS2nzX1T1uQYGcV0pERMrxWuBmNBqxc+dOZGRkyG7PyMhAVlZWm/cdPHgwEhMTcc0112DTpk1tHmswGFBRUSH7IPc5er5S9nnehVrsPVvupbNxjnTclavtQGRjrwzMuBERkWu8FrgVFxfDbDYjPj5ednt8fDwKCgpavE9iYiJWrFiBdevWYf369ejZsyeuueYa/Prrr61+n0WLFiEiIkL8SElJUfQ6SO5IfmWz2zbu96+smzTjFqZ3bY9biGSPG5dKiYjIVa69KylApVLJPhcEodltNj179kTPnj3Fz0eOHInc3Fy89tpruPLKK1u8z9y5czFnzhzx84qKCgZvbiIIAo4UWAM3bYAaMaFa5JfV4WRhFY6dr0LPhDAvn6F9bHvcgrQaBDo57spGmnHjvFIiInKV1zJusbGx0Gg0zbJrhYWFzbJwbRkxYgSOHz/e6td1Oh3Cw8NlH+QehZUGlNVY97d16xCK6/sniV/7dn++t07LYbZ2IK7ubwPke9yquceNiIhc5LXATavVIj09HZmZmbLbMzMzMWrUKLsfZ/fu3UhMTFT69MgJtmwbAPRKCMewtGjEhGoBAAfzynGmpNpbp2Y3g8kMQ8OEA1crSgHrkHobLpUSEZGrvLpUOmfOHNx1110YOnQoRo4ciRUrViAnJwczZ84EYF3mzMvLw4cffggAWLp0KTp37oy+ffvCaDTio48+wrp167Bu3TpvXgY1OFrQWPjRMyEMGrUKE/sl4qPfzwAANu4vwF+u6uqt07OLkj3cgMaRVwCXSomIyHVeDdymTp2KkpISLFy4EPn5+ejXrx82btyI1NRUAEB+fr6sp5vRaMSTTz6JvLw8BAUFoW/fvvj2229x3XXXeesSqIF0f5suUI3OMcEAgNHdYvHlnjxU1pmw80wpzlckIz5c781TbZOSPdwAQBeghkplnVXKBrxEROQqrxcnzJo1C7NmzWrxa6tXr5Z9/tRTT+Gpp57ywFmRo85XGFBeYw16unUIQ0DDpn5tgBoZfROwbudZCALw46HzuGtEqjdPtU1K9nADrMU3QdoA1BhMDNyIiMhlXh95RReHI5Jl0l5Nqkev6hkHtdpaKXyysMqj5+Uo+ZxSZf6uCW4oUKhlcQIREbmIgRsp4qikMKFp249gbQDiwnQAgILyOp/u6aZk810bW0uQGqPZp6+diIh8HwM3clnz/W0hzY5JaNjXVm+2oFQyEsvXKL1UCjQWKJgtAoxmiyKPSURElyYGbuSygoo6MeDp3sFaTdpUgqQgoaCizmPn5iilixMAVpYSEZFyGLiRy6RjrnontjwdIT5CEriV+3DgpnA7EAAIkoy9YoECERG5goEbueyIbH9by5Mp/C3jpgtUQxegaedo+0gzbgzciIjIFQzcyCWCIIiNd/VaDTpFB7d4XIIk43bepzNu1sBNqcIEgEulRESkHAZu5JL88jpUNlRi9mhlfxtgba1hq6701YxbvdkiBlZK7W8D5PNKa9gShIiIXMDAjVxy7HzrbUCkVCqVuFxaWm2E0eR71ZWVddL9bUpm3CR73DivlIiIXMDAjVxSXNXY2qNjVFCbx9qWSwUBOO+DWTd3NN8FGvu4AVwqJSIi1zBwI5eU1TQGblEh2jaPle5z88XlUnf0cANYnEBERMph4EYuKatpDHaigtsOdmSVpT5YoOCOHm4AECJZKuXYKyIicgUDN3JJWa014xaoUcs24bckXhK4+eJSqTt6uAGAXtv4MmPGjYiIXMHAjVxyoSHjFhUSCJWq5YpSm/hwPWyH5Pt4xk3ZdiBswEtERMpg4EZOq6s3o64hEIkMbnt/GwBoA9SIbtgHV1Dhe8PmZXvc3NQOpJZVpURE5AIGbuQ06f62SDszVAkR1srTOqNZtjTpC2R73BTMuGnUKugCrS819nEjIiJXMHAjp9n2twFAlB0ZN8C3R1/Z2oEEatTQBSj70rAtl3KplIiIXMHAjZx2oVqScWunotQmUdISJL+8VvFzcoUtAxgeFNDufj1H2VqCsI8bERG5goEbOa281v4ebja+WllqMltQbWgI3BTc32Zj2+dmNFlgMvve1AgiIvIPDNzIaRec2uMm7eVmUPycnFVlcM+4KxtpZSkLFIiIyFkM3MhpsuIEO/e4RQUHihv1Cyp8Z6lU1sNNwXFXNsEce0VERApg4EZOk467srfvmUqlQocwa9atqNLoM8uG5W4ad2UjnVdazcCNiIic5HTgVlZWhvfffx9z585FaWkpAGDXrl3Iy8tT7OTIt11oCNxCdAHQOlCFmSgOmxdQWOkby6XuGndlw4wbEREpwak1oX379mHcuHGIiIhAdnY2HnjgAURHR2PDhg04c+YMPvzwQ6XPk3yMIAjiUml7M0qbajpsPikySNFzc4a0+W6Eg9djD1ngVs9ebkRE5BynMm5z5szBPffcg+PHj0Ovb3wTnjhxIn799VfFTo58V5XBBLPFOvnA3v1tNr44bN7dGbcgjr0iIiIFOBW4/fHHH3jooYea3Z6cnIyCggKXT4p8n7wwwfmMm6+0BHHXgHkbacat2sDAjYiInONU4KbX61FRUdHs9qNHjyIuLs7lkyLfJw3c7J2aYBN/KWbcJPNK69gOhIiInORU4HbTTTdh4cKFqK+3vtmpVCrk5OTg6aefxi233KLoCZJvuiCtKHUw46YP1Ij38ZWxV7Y9bhq1SpYdU4r0MblUSkREznIqcHvttddQVFSEDh06oLa2FmPGjEG3bt0QFhaGF198UelzJB9UVut8xg1orCytqjPJmt96i60dSHhQoOLjrgB5A14OmiciImc5tZknPDwcv/32G37++Wfs2rULFosFQ4YMwbhx45Q+P/JR0h5u9k5NkEoI1+NIfiUA63Jptw6hip2boywWQQwe3bFMCsj7uLEdCBEROculXdhjx47F2LFjlToX8iPSAfPOZNyaziz1ZuBWaTBBsBbIuqUwAZDvcavhHjciInKS3e9Sb775pt0P+thjj9l97LJly/Dqq68iPz8fffv2xdKlS3HFFVe0e7+tW7dizJgx6NevH/bs2WP39yNl2Pa4qVQqp4IdaeBW5OUmvNIebu7KuGkD1AjUqFFvtqDGB5aGiYjIP9n9jrtkyRK7jlOpVHYHbmvXrsXs2bOxbNkyjB49Gu+++y4mTpyIQ4cOoVOnTq3er7y8HNOnT8c111yD8+fP2/W9SFm2pdLIYOf2hMWF6cR/F1d5OXCrc++4K5sgrQb1tRYOmSciIqfZHbidPn1a8W++ePFizJgxA/fffz8AYOnSpfjhhx+wfPlyLFq0qNX7PfTQQ7jjjjug0WjwxRdftPk9DAYDDIbGwKClNibkGJPZgso6a9bI0akJNtEhjcurRV4O3GRzSt0wYN4mSKtBRW09q0qJiMhpLg+ZFwQBgm2DkAOMRiN27tyJjIwM2e0ZGRnIyspq9X6rVq3CyZMnMX/+fLu+z6JFixARESF+pKSkOHyuJCcNdBydmmCjD9QgrCFIKq40tnO0e9mCUACIcGPGLaShQKGu3uzUa4aIiMjpwG3lypXo168f9Ho99Ho9+vXrh/fff9/u+xcXF8NsNiM+Pl52e3x8fKvTF44fP46nn34aH3/8MQIC7MuMzJ07F+Xl5eJHbm6u3edILSurdX5qglRsqHW5tLzWiHqzxeXzcpZsj5tbl0qtv7OCAC6XEhGRU5xaF3r22WexZMkSPProoxg5ciQAYNu2bXjiiSeQnZ2NF154we7Haro/ShCEFvdMmc1m3HHHHfj73/+OHj162P34Op0OOp2u/QPJbvJWIM5l3AAgNkyH08XVEASgtNooK1jwpIo66bgrNwZugfImvNLebkRERPZw6p1j+fLleO+993D77beLt02aNAkDBgzAo48+alfgFhsbC41G0yy7VlhY2CwLBwCVlZXYsWMHdu/ejUceeQQAYLFYIAgCAgIC8OOPP7I1iYfIW4G4nnEDrAUKXgvcPLTHLUTHXm5EROQap5ZKzWYzhg4d2uz29PR0mEz2tTrQarVIT09HZmam7PbMzEyMGjWq2fHh4eHYv38/9uzZI37MnDkTPXv2xJ49ezB8+HBnLoWcIF0qdXTclVRMqKRAwYstQWx79lQqFUJ1bixOCOTYKyIico1T71J33nknli9fjsWLF8tuX7FiBaZNm2b348yZMwd33XUXhg4dipEjR2LFihXIycnBzJkzAVj3p+Xl5eHDDz+EWq1Gv379ZPfv0KGDuL+OPEe6VOpM812bOEnGraTKewUKtnYg4UEBbhl3ZRMkm1fKXm5EROQ4uwO3OXPmiP9WqVR4//338eOPP2LEiBEAgN9//x25ubmYPn263d986tSpKCkpwcKFC5Gfn49+/fph48aNSE1NBQDk5+cjJyfH7scjz5AOmFeiOAHwXi83QRDEqlJ3Nd+1CZHsaeNSKREROcPuwG337t2yz9PT0wEAJ0+eBADExcUhLi4OBw8edOgEZs2ahVmzZrX4tdWrV7d53wULFmDBggUOfT9yXVmNNUOlC1TLlv8cJe3l5q3ArdpohsVibc3hzsIEoGnGjYEbERE5zu7AbdOmTe48D/IjtsAtIkjr0tKiNkCNiOBAlNfUo9hLS6WeKkwAOK+UiIhc53IDXrq01NWbUdcQdLhSUWpj2+dWUVsPo8nzvdzKPdTDDQCCJRm3OmbciIjICU6nGP744w989tlnyMnJgdEoz5asX7/e5RMj32TLtgGu7W+ziQnV4kSh9d/FVQYkRQa5/JiO8MSAeRt9IIsTiIjINU5l3D755BOMHj0ahw4dwoYNG1BfX49Dhw7h559/RkREhNLnSD5EXpjgfEWpTayXK0vlzXfdvFQqybjV1ntvUgQREfkvpwK3l156CUuWLME333wDrVaLN954A4cPH8aUKVPQqVMnpc+RfIgscFNgadHblaXSjJs755QC8qVSjrwiIiJnOBW4nTx5Etdffz0A60ip6upqqFQqPPHEE1ixYoWiJ0i+pVyyVBoVomzGrcgbgVudB5dKA6STE7hUSkREjnMqcIuOjkZlZSUAIDk5GQcOHAAAlJWVoaamRrmzI59zoUaZcVc2sZLpCV5ZKq2VLJW6OXBTq1XQBVpfcsy4ERGRM5za1HPFFVcgMzMT/fv3x5QpU/D444/j559/RmZmJq655hqlz5F8SFmtsnvcokO0UKkAQfDSUmmdbdwVEOrmdiAAEBQYAEO9EbVG7nEjIiLHOfVO9c9//hN1dXUArGOpAgMD8dtvv+Hmm2/Gs88+q+gJkm+RVpUqsScsQKNGZLAWF6qNXgncbO1AQnUB0KjdN+7KJkirRlkNUFvPpVIiInKcU4FbdHS0+G+1Wo2nnnoKTz31lGInRb7LNqc0VB+AQI0ybQDjwnS4UG1EVZ0JdfVmWdsMdxIEQSxOcHcPNxtbE15DvQUWiwC1B4JFIiK6eDj1znv11Vdj5cqVKC8vV/p8yIcJgiBm3FwZLt9UjJdGX9XWm2G2jbty8/42myDJvNI6E/e5ERGRY5wK3Pr3749nnnkGCQkJuOWWW/DFF180a8JLF59Kg0kMdJRsnREXJm0J4rnfI1lhgpt7uNnIxl5xegIRETnIqcDtzTffRF5eHr788kuEhYXh7rvvRkJCAh588EFs3rxZ6XMkH1Gu8NQEG1kvt0rPZdzKPTg1wSYosPElV8vAjYiIHOT0JiW1Wo2MjAysXr0a58+fx7vvvov//e9/GDt2rJLnRz6kytCYoQpTMNDxVhNeWQ83D+1xC5YulbIlCBEROcjl9aGCggJ88skn+Oijj7Bv3z5cdtllSpwX+SBp4BaqU25pMUbay63ak0ulnpuaYKPXcqmUiIic51TGraKiAqtWrcL48eORkpKC5cuX48Ybb8SxY8ewfft2pc+RfESlJEMVpmDPs6hgLVQqa3VlkZeWSj0VuEn3uDHjRkREjnLq3Tc+Ph5RUVGYMmUKXnrpJWbZLhGVddKlUuUCN41ahZgQLYqrDB5dKi2VZPeiFRjfZQ/pvNIaBm5EROQgh999BUHAG2+8gTvvvBPBwcHuOCfyUdLATcmlUgCIDbMGbrVGM2qMJtleMHcp8ULgpmdxAhERucDhpVJBEPDII48gLy/PHedDPkyecVN2aVFeWeqZfW4lDdm9YF2Ax5r+BgWyOIGIiJzncOCmVqvRvXt3lJSUuON8yIdVGdyzxw0AYiSBW5EHlkstFgEXGtqbxHgo2wYAQSxOICIiFzhVnPDKK6/gr3/9Kw4cOKD0+ZAPq2rIuAVoVNAFKDPuyiZWWlnqgcCtvLYeloZmwp5aJgVYnEBERK5xKm1y5513oqamBgMHDoRWq0VQUJDs66WlpYqcHPkW21JpmD5QrAJVSlyoZ6cnlNZ4fn8bIM+4cY8bERE5yqnAbenSpQqfBvk6QRBQ2dDHTenCBMDzTXilFaUeXSoNZFUpERE5z6l34Lvvvlvp8yAfV1tvFpcWld7fBlhHaGnUKpgtgkcCt5Iq72TcAjUq8TqZcSMiIkc5vVHp5MmTeOaZZ3D77bejsLAQAPD999/j4MGDip0c+Q539XCzUalUYoFCcZUBgiAo/j2kZBm3UM8FbiqVSlwu5R43IiJylFOB2+bNm9G/f39s374d69evR1VVFQBg3759mD9/vqInSL5BPjXBPVMGbAUKhnqLbLyWO0gLIKJDdG0cqTxbE15WlRIRkaOcCtyefvppvPDCC8jMzIRW25ituPrqq7Ft2zbFTo58hzub79rEhTUGUIVuHn1la76rUqk8Nu7KRhdgDdxq681uzywSEdHFxanAbf/+/fjTn/7U7Pa4uDj2d7tISTNg7lgqBYAOYXrx3+cr6tzyPWwuNFSVRjXsrfMkW8bNYhFQb2bgRkRE9nMqcIuMjER+fn6z23fv3o3k5GSXT4p8j7v3uAFAfLgk41bhvoybwWQWe9JFe3B/m420spQFCkRE5AinArc77rgDf/vb31BQUACVSgWLxYKtW7fiySefxPTp05U+R/IBVbKlUvcsLcaHeybjdqG6cb+eJ1uB2Mh6ubFAgYiIHOBU4Pbiiy+iU6dOSE5ORlVVFfr06YMrr7wSo0aNwjPPPKP0OZIPqKhz37grm9hQHWx9fd25x62k2nuFCQADNyIicp5TgVtgYCA+/vhjHD9+HJ9++ik++ugjHDlyBP/+97+h0Tg2rHvZsmVIS0uDXq9Heno6tmzZ0uqxv/32G0aPHo2YmBgEBQWhV69eWLJkiTOXQA7yxFKpNkAt9lQ7X1Hnto373mq+ayNrwmt0b/UsERFdXFx6B+7SpQu6dOkCs9mM/fv348KFC4iKirL7/mvXrsXs2bOxbNkyjB49Gu+++y4mTpyIQ4cOoVOnTs2ODwkJwSOPPIIBAwYgJCQEv/32Gx566CGEhITgwQcfdOVSqB224gSVCgjRuidwA6zLpSVVRtQazagymNzSesRbzXdtOK+UiIic5VTGbfbs2Vi5ciUAwGw2Y8yYMRgyZAhSUlLwyy+/2P04ixcvxowZM3D//fejd+/eWLp0KVJSUrB8+fIWjx88eDBuv/129O3bF507d8add96JCRMmtJmlMxgMqKiokH2Q42x93EJ0AVC7sQqzg2yfm3uWS6UZN68EbrJ5pRaPf38iIvJfTgVun3/+OQYOHAgA+Prrr3Hq1CkcOXIEs2fPxrx58+x6DKPRiJ07dyIjI0N2e0ZGBrKysux6jN27dyMrKwtjxoxp9ZhFixYhIiJC/EhJSbHrsUnOlnFz1zKpTby0l5ubChS8NTXBxttLpSazhf3jiIj8lFOBW3FxMRISEgAAGzduxJQpU9CjRw/MmDED+/fvt/sxzGYz4uPjZbfHx8ejoKCgzft27NgROp0OQ4cOxcMPP4z777+/1WPnzp2L8vJy8SM3N9eu86NGRpMFhnprZshdFaU2soxbpXsCN1vzXX2gRhZEeYo3ixPOXqjB39btx18/3ycrOCEiIv/gVOAWHx+PQ4cOwWw24/vvv8e4ceMAADU1NQ4XJ6hU8mU3QRCa3dbUli1bsGPHDrzzzjtYunQp1qxZ0+qxOp0O4eHhsg9yjCea79pIe7m5Y6lUEASUNlSVRodo2/1dc4dgrXf2uAmCgH9lZaOsxogL1Ub871Spx743EREpw6l34XvvvRdTpkxBYmIiVCoVxo8fDwDYvn07evXqZddjxMbGQqPRNMuuFRYWNsvCNZWWlgYA6N+/P86fP48FCxbg9ttvd+JKyB6VHmgFYhPX0BJEENzTy63SYIKpYVqBN/a3AY0jrwDPziv97UQxThVVi5+fvVDjse9NRETKcCrjtmDBArz//vt48MEHsXXrVuh01iyJRqPB008/bddjaLVapKenIzMzU3Z7ZmYmRo0aZfe5CIIAg8G9cy0vdZ6YU2oToFEjpqG3WmGlQfG9WNKKUm/sbwPkGTdPLZVWGUz4bMdZ2W1nL9R65HsTEZFynH4XvvXWW5vddvfddzv0GHPmzMFdd92FoUOHYuTIkVixYgVycnIwc+ZMANb9aXl5efjwww8BAG+//TY6deokZvV+++03vPbaa3j00UedvQyyg7yHm/sHsseH61BcZUCd0YxKgwnhCn5Pb1eUAvI9bnUeyrit33UW1QZ5IcS58lq7tiYQEZHvcDpw++mnn7BkyRIcPnwYKpUKvXr1wuzZs8X9bvaYOnUqSkpKsHDhQuTn56Nfv37YuHEjUlNTAQD5+fnIyckRj7dYLJg7dy5Onz6NgIAAdO3aFS+//DIeeughZy+D7ODJpVIAiAvXA+esbVsKK+ouusBNH+DZjNvp4mr8eqwIAKALVCM5MginiqphqLegqNIgKwghIiLf5tS78D//+U888cQTuPXWW/H4448DAH7//Xdcd911WLx4MR555BG7H2vWrFmYNWtWi19bvXq17PNHH32U2TUvkBYnuHupFJC3BDlfYUC3DmGKPXapZNxVjBfGXQGAWq2CPlCDunqz2/e4WSwCPvr9DGwrzjcNSkaN0STudTtbVsvAjYjIjzj1Lrxo0SIsWbJEFqA99thjGD16NF588UWHAjfyfdLATcnsV2vcOWy+xAcyboB1ubSu3uz2jNuvx4uQXWwN0pKjgnBNrw7YnVsmfv3shVoM6WT/tBMiIvIup4oTKioqcO211za7PSMjg5MJLkKy4gQPLJXGu3F6QmlDcYJKBUQFuz8IbY0+0PrSc2c7kHqzBet35YmfTxueigCNdanUhpWlRET+xanAbdKkSdiwYUOz27/88kvceOONLp8U+RZPVpUCQGxoY381pTNutj1u4UGBCNA49euviOCGea+GegvMFvdMMSgorxMLEgalRKJngnXJOT5cjwCN9efLylIiIv9i97vwm2++Kf67d+/eePHFF/HLL79g5MiRAKx73LZu3Yr/9//+n/JnSV5lK07QBaqhDXB/sBOgUSMuTIvCCgMKK+sUq3ysN1tQXmu9lhgvLpMC1qkNNnX1ZoS4ISCWLgunRAeL/9aoVUiMCEJuaQ0KK+pgNFk88rwSEZHr7H63WLJkiezzqKgoHDp0CIcOHRJvi4yMxAcffIBnnnlGuTMkrxPnlLp53JVUXJgehRUGGOotqKg1IUKBZc0LNdL9bd4pTLCRjtqqdVfgVtW4zBwbKr/ejlHWwE0QgPzyWqTGhCj+/YmISHl2v1ucPn262W3FxcVQqVSIiYlR9KTId1gsgrjc5on9bTbx4TocbNiedb6yTpHATTZc3ssZN1kTXjdVlrbVbLhjVDCAEgDW5VIGbkRE/sHh9ZGysjI8/PDDiI2NRXx8PDp06IDY2Fg88sgjKCsrc8MpkjdVGU1iKwlP9HCziQ9rLFAoVKhAobTKNypKgeYZN3colrU+aRq4sUCBiMgfOfROXFpaipEjRyIvLw/Tpk1D7969IQgCDh8+jNWrV+Onn35CVlYWoqLYXuBiUeXhqQk27mgJImsF4qVxVzZ6D2bcVKrmgao8cGOBAhGRv3AocFu4cCG0Wi1OnjzZbBD8woULkZGRgYULFzbbD0f+SzbuygMVpTbx4ZImvJXKBG6yqQnBXl4qDXT/oHnbHreIIG2zCtqIoECE6gNQVWdCHgM3IiK/4dBS6RdffIHXXnutWdAGAAkJCXjllVdabBNC/qvK0DjuypN73KJDGluCKLZU6kMZN9m8UjcslRpMZjHojm3hWlUqlZh1K6+tR4VkrBkREfkuhwK3/Px89O3bt9Wv9+vXDwUFBS6fFPkO+YB5zwVutpYgAMSWIK4qadjzFahRezR72BK9m/e4tVWYYJMc2dgihFk3IiL/4FDgFhsbi+zs7Fa/fvr0aVaYXmQ83XxXqkNDgYKhvrH/mrMEQRAzbtGSBr/eIq0qdcdSqTRwa9oKxIb73IiI/I9Dgdu1116LefPmwWg0NvuawWDAs88+2+IoLPJflV4qTgCUHX1VYzTDUG8B4P1WIID7M27SitLWKmhZWUpE5H8cSqH8/e9/x9ChQ9G9e3c8/PDD6NWrFwDg0KFDWLZsGQwGA/7973+75UTJO6R73MI9uFQKyAsUCivrxJFNziisbD+Q8SRpxq3OSxm3pMggqFSAIDDjRkTkLxx6J+7YsSO2bduGWbNmYe7cueK+I5VKhfHjx+Of//wnUlJS3HKi5B2eHjAvpWTG7UxJtfhva/NZ7wpy+1Jp61MTbPSBGsSF6VBYYcC5slrFRosREZH7OPxOnJaWhu+++w4XLlzA8ePHAQDdunVDdHS04idH3mcL3DRqlaxprCd0CJO0BHGxl1tOaeNSYOcY7wdu+gBJxs3khsCt2r5mwx2jglFYYYDRZEFRpQEdJMEyERH5HqdTKFFRURg2bJiS50I+qEoy7srT2ZiYUB00ahXMFgH55a4t5WUXWwM3lUo+cN1btAFq8drc0YC3uCHjFh4U2OYA+eTIIOw6cwEAkHuhloEbEZGPc3jkFV06BEFAZUN/L2+0z9CoVeKyZn5ZHWqMpnbu0TKT2SJuvo8P18sKA7zJtlzq7HW1pt5sQXmN9XlrqYebFAsUiIj8CwM3apXBZIHJbN3H6On9bTbdOoSK/z5VVN3Gka07V1YHs8V6HZ19aJi6rUChrqHaVSkXZMukLe9vs5Hu92OBAhGR72PgRq3yZisQm65xjYHWicIqpx4jW1KY0MkH9rfZ2DJ/NUazIg2GbYokhQmtNd+16RCmQ2DDOKy8MgZuRES+joEbtapSMgbJ0813bbpKMm4ni5wL3M7IChN8J+NmK/YQBAEGk3JZN+lor7hWKkpt1GoVkiKty6WFFXUwKngeRESkPAZu1CpvjbuSignRIiLYmu07VVQNi8XxzNSZ4saMW0p0UBtHepa0SlfJeaXFVY71rLP1yxMEoKymeXNtIiLyHQzcqFW2ilIACPfSUqlKpRL3udXVmx1ezjOZLcht2HTfIVyPYK13Z5RKSXu5KTk9QdZ8N6ztjBsARAU3BncXajhsnojIlzFwo1Z5s/muVNe4xuXSEw4ul+aX14kFFr7Qv03KXU14i6UD5u3IuEUGNwbl0mVWIiLyPQzcqFW+sMcNkFeWnnSwQOFMSeP+tlRfC9zctFRqm5oQoguwq/VJlCS441IpEZFvY+BGrZIulXprjxsAdIoORoDG2vzX0QKFM6WN+9tSfagwAZDPK1WqCa/JbMGFhuCrvYpSmyhJxo1LpUREvo2BG7VKVpyg884eNwAI1KjFatDCCgMq6uwPLqQZt04+MDFBSpoNU2qPW1ltPWydRVqbUdpUpGyPGzNuRES+jIEbtUq6VBqi8+60Aek+N3uXS80WATkNgVtcmA4hXlzubYl0qVSpjFuJg/vbACAyqDEo51IpEZFvY+BGrbItlQbrAhCg8e6viryfm30TFAoq6lBvtvYl87VlUgCyClelMm7SViD2ZtwCNGpxKZxLpUREvo2BG7WqvNb6Jh7uxf1tNt2klaV2Ztyk/dt8rTABAIK0jS8/xTJukqpQe/e4AY0FCmU19U71yiMiIs/weuC2bNkypKWlQa/XIz09HVu2bGn12PXr12P8+PGIi4tDeHg4Ro4ciR9++MGDZ3vpqKs3w9AwQzM8yHv722wiggPFDFJ2cTVM5vY7/Gf7cEUp4J49bsWVknFX7cwplbL1chMEwaE9hERE5FleDdzWrl2L2bNnY968edi9ezeuuOIKTJw4ETk5OS0e/+uvv2L8+PHYuHEjdu7ciauvvho33ngjdu/e7eEzv/hJ37y91Xy3KVtbkHqzBTmSMVat8eWKUkC+VKpUH7eSaslSaZgDGTdWlhIR+QWvBm6LFy/GjBkzcP/996N3795YunQpUlJSsHz58haPX7p0KZ566ilcdtll6N69O1566SV0794dX3/9tYfP/OJXUdtYURrhAxk3oEk/t3b2uVksAnIbgruYUK1X+9C1Rh/Y+PJTqo+brThBr9U4NCWClaVERP7Ba4Gb0WjEzp07kZGRIbs9IyMDWVlZdj2GxWJBZWUloqOjWz3GYDCgoqJC9kHtk2Xcgnwj6OnqwD6385V14lKvL2bbAOWrSi0WQZx8EGtnRamNdOwVK0uJiHyX1wK34uJimM1mxMfHy26Pj49HQUGBXY/x+uuvo7q6GlOmTGn1mEWLFiEiIkL8SElJcem8LxUVtb63VJocFQRdQ5aqvUa82cW+vb8NsM5hte1zq1Eg41ZWWw9zQ2FBjJ0VpTZRIZKl0moulRIR+SqvFyeoVCrZ54IgNLutJWvWrMGCBQuwdu1adOjQodXj5s6di/LycvEjNzfX5XO+FFRImu/6QnECAGjUKqTFWrNnF6qNbc7VPFMi2d8W7ZsZN6BxXmmdAhm30mrHW4HYRHGplIjIL3gtcIuNjYVGo2mWXSssLGyWhWtq7dq1mDFjBj799FOMGzeuzWN1Oh3Cw8NlH9S+clnGzTeWSgH5Pre2lktPS1uBxPpmxg1oXC5Voqq0qLIx4Ip2cKk0UlacwMCNiMhXeS1w02q1SE9PR2Zmpuz2zMxMjBo1qtX7rVmzBvfccw/+85//4Prrr3f3aV6ypEulvlKcAADd4sLEf393IF9cGpTam1smBnVxYTqfWeptiS3jZjRZ7Gpx0hZpRWmcAxWlgDWAtC1Ds6qUiMh3eXWpdM6cOXj//ffxwQcf4PDhw3jiiSeQk5ODmTNnArAuc06fPl08fs2aNZg+fTpef/11jBgxAgUFBSgoKEB5ebm3LuGiJS1OCPOhwKd3YhiSo4IAADklNfjxoDxjW1dvxke/nxE/nzQoyaPn5yhpgUKdybXATbp0HO1ADzfAumXBVllaVmOEILAJLxGRL/Jq4DZ16lQsXboUCxcuxKBBg/Drr79i48aNSE1NBQDk5+fLerq9++67MJlMePjhh5GYmCh+PP744966hIuWrR1IkFYDbYDXt0KKAjRq3DOqM2zbIL/ccw4F5XXi17/ac04MYHonhmNklxhvnKbdbBk3wPXKUmnz3VgHpibY2Hq5GeotijUEJiIiZXl989KsWbMwa9asFr+2evVq2ee//PKL+0+IADQulfpKYYJUl7hQjOsdj8xD51FvtuBf27Lx1ISeyC2txY+HzgMAAjQq3DUy1a5CF28KVjBwK23YmxaoUTvVt07eEqTeoT5wRETkGb6TSiGfYTRZxIawvro/bPLgZLFy8lhBJTYdLcS/tmWLS3w3DkxCfLjem6doF2mA5eqoqbKGvWlRIYFOBazeasJrsQjYkV2Kf2Vl49j5So99XyIif8Q/qakZX2y+25Q+UIO7R3XG6z8eBQD8Z3sObNuykiKDcG3fBC+enf2kgVulpAWLo4wmi5ixiwhyfJkUkI+9KvNAgYLBZMbWE8X48eB5FDUs8+7NLcPrUwb6fKaUiMhbfPNdmbyq3Aeb77akT1I4Lu8ei9+OF0O6l/7uUakI0PhHMlla+FHpQsatrLYxQ+ZsFXBUiGcybiazBRsPFOC/h86j2iAPVstr63H2Qi1Son23hQsRkTf5x7sbeZRsaoIP7nGTmjI0RRaojOkZh24dwtq4h28Jk/TIqzI4n3Erl2TIpJkzR8ia8LbR3NhVPx8pxJe782RBW4ykmOJoAZdLiYhaw8CNmpFNTfCh5rstCdEF4L7L06ALVCMlOhi3DOno7VNySLgs4+Z84FamQN+9KFkTXvctlUoDs2Fp0Zh/Y188OrZ749e5z42IqFW+/a5MXuGrzXdb0y85Av+8fQhUquYj1HxdqF66x82FpVJJoBXhZMYtXG8tahAEwa1LpWdKrXNk9YEaPHhlF/F7BusCUGMw4WhBpd2j74iILjXMuFEz8uIE3w/cAECtVvnlG32YXpniBOm+xEgnixPUapUYqLurOKG8tl5chu0UEyw+ZyqVCj3jrePMqg0mnL1Q65bvT0Tk7xi4UTO25ruAf2Tc/FmgRg19w/SEShf2uJVJMmSRTmbcACA6xHrfitp6l0dwteRMSeMM2bSYENnXeiY0zhHmPjciopYxcKNm/KWq9GJha7kiXaJ2lCzj5kLgJu3lVubC+bQmu6RG/HdqjLxytFdCY1EJ97kREbWMgRs1Y1sq1Qf61riri5Wtl1ut0ex0luuCZGqCdP6po+TTE5Tf53amuDHjltok49YxKgjBDT8L2z43IiKS47syNdM47oq1K54g7eXmbEuQ8obl7chg56Ym2ES6ubJUWpgQH66TfY373IiI2sfAjWSkHfi5TOoZrhYoGE0W1DQEfK7uSZQFbgr3cmutMEHKm/vcdp4pxRv/PY7jXKYlIh/GwI1kKv2wotTfhbnYy02+v825ilKb6BD5oHkltVWYYNMz3jv73OrqzVj522nsO1uGVVnZXKYlIp/FwI1kZM13Gbh5hHxeqePBUrkC465sotw4aL6twgSblGjv7HPbm1sGQ711f+H58jrkl9d55PsSETmKgRvJyMZd+fjUhItFuItLpdLMmCsVpU3vr/Qet7YKE2xUKhV6dPD8Prftp0tln+/OKfPI9yUichQDN5Lxx+a7/s7V4gRZ4Obic6YL0CBIa61KVXqPW1uFCVI9pW1BPLDPrcpgwoG8ctlte3IvuP37EhE5g4EbybCHm+eFuTj2Sjan1MWMG9C4z62s1qjYUqU9hQk2vaQFCh7Y57Y75wLMFvl1niqqdks7FCIiVzFw8yOl1UbsPFOKunqz276HfGoCl0o9QRq4VXi5OEH6GCaz4HR7kqbsKUyw8fQ+t+2nGpdJ+yY1Bo17csvc+n2JiJzBwM0PCIKATUcK8X/r92PZppP4eHuO274XM26e52pVqTQzpMSIsihJ1k6pylJ7ChNsPLnPrbymHkcKKgAAHcJ1+NOQjuLX9uaWt3Y3IiKvYeDm48pqjFj63+P46PczqG/oqr/9VAmqFcqENMU9bp6nDVBDF2h9KTpXVWq9T4BGhRCt81MTbKSVpaUK7XOzpzBBylP73P7ILoUtoXdZ52h0jgkWl5sP5Ze7NbtNROQMBm4+bOeZUjz35cFmG6fNFgE7zrhn87StqlQX2Dj8nNzP1hLElarSiCDXpibYyCtLFQrc7CxMsJHucztRVKXIObTkf9mNy6TDu8RApVJhcEokAOtS8cFzzLoRkW9h4OajthwvwrJNJ8XMWkRQIG5Jb1zG2XayxC3f17bHisuknmVbLq0xmmCx2L+nq95sEX9HohTY39b0cZRYKnWkMMEmKVIPjdp63NkLNe0c7ZziKgNOFlqDwuSoICRHBgEABqVEicewLQgR+RoGbj7q+wMF4r+HpEbh7zf1xcR+CUiI0AMAjp+vRHGVQdHvaTI3jk7iMqln2QoUBAGoMtqfdZPtSVToOVO6Ca8jhQk2ARo1khoCqYJyg7hNQEn/k/RuG5YWLf67V2KYmG3ed7a8WcUpEZE3MXDzQcVVBhQ0dG7v2iEUs67qijC9dRlsZNcY8bjfTymbdZNNTWDzXY9ytkBBmhFTKuMWGaJsE15HChOkOkZZAzdBEJBfpvwkA1ng1rkxcAvUqNEvOQKAtTjiRKH7lmqJiBzFwM0H7ZfsaRvQMUK2tDSiS2Pgtu1kiaKtEirckL0h+zjby03JcVfiuegCEKix/tdQWu16VtfRwgQb29IlAJwtU3a59FxZLXIb9t2lxYagQ7he9vVBDfvcAGufNyIiX8HAzQcdONsYuPVv+MvfJjZUhx4NFXcF5XU4U6LcGxpbgXiPs2OvlBx3ZaNSqRAdas3elVS53oTX0cIEm45Rjdk5pVuC/JHd8jKpjfQPpj25ZRw6T0Q+g4Gbj6k3W3C4oa9UmD4AnaKbLy3Jsm4KLpdKW4Eolb0h+8iXSh3JuLnnOYsNtQZYRpMFlS60nnGmMMEmOaox45ancOB2KL9C/PfQzs0DtxBdAHomWHvJFVUakFfmmZmpRETtYeDmY04UVsFQb92I3S85osU3uqGpUWLF3fZTJYptnpZOTQjn1ASPsrUDARzLuEn3oCkbuDXulyupcr5AQVoRmtrCHyFtiQoOFCco5CpYWWoyW3Cm2Pp4cWE6ccRXU4Ml1aX7zrItCBH5BgZuPmZ/G8ukNiG6AAxs2INTWWfCoXMVLR7nKFnzXS6VepSzY6+kGbeoVgIQZ9gybgBcql6WFhVIM2j2UKlUYoFCeU29YuO3ckprxCrVbg0TGlrSN7mxl9xpyT49IiJvYuDmYw40NPxUqYC+rQRuAGTVpdtOFSvyvVmc4D3SpdIqRwK3hnYdGrUyUxNsYkKkGTcXAreKxsAtMULfxpEtkxYoKLVcKq0S7RrXeuCWEK4XJ1owcCMiX8HAzYeUVhvFN6e02BDZ8llTA5IjENLw9V1nyhQZzcM9bt7jbFVpWUOwHRmszNQEm9iwxoxbkQtLpQXljcFWQoRjGTegsSUIoFwj3pNFjUFYW4GbSqUSq2AvVBtlrw8iIm/xeuC2bNkypKWlQa/XIz09HVu2bGn12Pz8fNxxxx3o2bMn1Go1Zs+e7bkT9QBpG5B+bWTbAGuD0ss6W/fg1JstinR4ty27BWrU0AV4/VfjkqILUIstOOzd42YyW8TsnNKBdmxIY+DmUsatoR9hqD6gzT9EWiMN3JQqEDjZMEJLF6hud/m2s6TvnG1fHBGRN3n13Xnt2rWYPXs25s2bh927d+OKK67AxIkTkZOT0+LxBoMBcXFxmDdvHgYOHOjhs3W/Aw4EboC8Gu54oeuDuG3FCeFBAYpmb6h9KpVKzLrZm3GT7m+LVKj5rk14UGMvN2f3uNUazShvKJ5IcGKZFACSIxsDJ1vfNVeUVhvFKte02BCxyKc10r5zp0u4XEpE3ufVwG3x4sWYMWMG7r//fvTu3RtLly5FSkoKli9f3uLxnTt3xhtvvIHp06cjIqL9wMafmMwWsUVBiC7ArtFAabEhsMVXp4pce1MxSWZecpnUO2z73KoMJrv6hpW5qRUIoEwvtwLp/rZw5wK3IK0GMQ3nkVdW63I/tZOSgfVtFSbYdJa8Ds9wnxsR+QCvBW5GoxE7d+5ERkaG7PaMjAxkZWUp9n0MBgMqKipkH77oZFE16ozWfWp9k8KhbicTAFgbmtrmOZ69UAujyfl5jpWycVcM3LxBNq/UjgpKdzTflXK1l1u+i/vbbGyNeA31FhS7sN8OgDhUHmh7f5tNfLhOnFuarWCzayIiZ3ktcCsuLobZbEZ8fLzs9vj4eBQUFLRyL8ctWrQIERER4kdKSopij60k6f62/h3tzyamxVozAoIgIKfU+YyArBUIM25eEebg9ARpFXBkkLJLpYDrvdxs83YB5ypKbZQsUJBWlHaxI3CzFihYA8eyGqO49OsOgiDg7U0n8OCHO7A48xj+yC4V25YQEdl4fQd6071UgiAour9q7ty5KC8vFz9yc3MVe2wlSfe39U1yPHADXFsuZfNd73M0cLtQ0xhMuTPjBji3zy1focBN1hLEhQIFo8mCnIZ9comReruLJaTLpdlu3Od28FwFdp25ALNFwMG8crzzy0k8+dlerP0jRxYEE9GlzWuBW2xsLDQaTbPsWmFhYbMsnCt0Oh3Cw8NlH76mrMYobrxOjQlxaL9Sl9jGrIErvabYfNf7ZL3cDO1ndtw17srG1V5utqVSjVolCwIdlRItLVBwPnA7U1ItThmxZ5nUJlVaWapAgURrNh0pbHZbVZ0JPx48j2e/PMBeckQEwIuBm1arRXp6OjIzM2W3Z2ZmYtSoUV46K+84KJl80C/ZscAyKVIvVv+5kg0oZ/Ndr3N0eoLb97i50MvNbBFQWGEN9hIi9Hbt2WxNhzCdWP2ZV+Z84ORoYYKNNKud7abgqaTKgL1nywBYK4SfGN8Dw9Kixeu2WIQWAztPOVlUxawfkY/w6prYnDlzcNddd2Ho0KEYOXIkVqxYgZycHMycOROAdZkzLy8PH374oXifPXv2AACqqqpQVFSEPXv2QKvVok+fPt64BEUcLWhs5dEnybHALUCjRqeYYJwsrEJhhQFVBpNT/bJKqyXLbgzcvEI+aL79wM0WbGvUKqee8/a40sutuMogZrecbQViE6BRIykyCLmlNSgoN6DebBH/WHGEvRMTmooL0yFIq0Gt0ey2pdLNx4pgK5gd0zMO/ZIj0C85AhV19Zi7fj/qjGbsPHMB00Z0gi5AuQkZ9li/6yy+3ZcPtVqFR8d2w4COkR79/kQk59U9blOnTsXSpUuxcOFCDBo0CL/++is2btyI1NRUANaGu017ug0ePBiDBw/Gzp078Z///AeDBw/Gdddd543TV4ytB5tGrZItfdpLiYzAeUnrhngX32jJOdKMmz1jr8oa9riFByk7NcHGlV5uSu1vs7EVKAiCIJt/ai9BEMSJCUFajUPnJC1QKK+pF3/uSqk3W/DrsSIAgFqtwpXdY8WvhesDMTTV2mi7rt6MPQo02nbEN/vO4dt9+QCsWb/lv5zEKUnmkog8z+vFCbNmzUJ2djYMBgN27tyJK6+8Uvza6tWr8csvv8iOFwSh2Ud2drZnT1pBZTVGcUkpLTYEWicmFsgKFJwM3M41vBmG6AIQ5obsDbVP+nNvb7ySyWwRs3JRblgmBVzr5SYbdRXufCsQG2mBgjOVpUVVBrEKt2tcqMOBbqqsQEHZfW47z1wQn8v01KhmzZTlc4lLFP3ebfnhYAE27MqT3WY0WfDGT8dlf+h5wrmyWrz6wxEsyTyGL3bnYW9uGUeQ0SWL79BedlyyfNM9Psypx+giCdxOO1FZWldvFrMIiRF6Tk3wEvlSadtvStI9cO5smBwbqsP58jqxl5u9hSvKZ9waCwTOOjFsXrZM6sD+NhvpH0dnSqoxKCXS4cdojXTv2tU9OzT7es/4MESHaFFabcSBvAqU19a7vUn2piOF+PSPxgr8m4d0xIFz5ThWUImqOhMW/3gM/3ddb0S46Y8GKZPZgnc2nxTnOEsr8DuE63D7sE5cvqVLitczbpe6Y+cb97f1dDJwiwvTIbghW3O6uMrh7vLSN1lX9yOR8/SBanEzentLpdLlugiFx11JOdvLrUDh3ylZLzcnWoJIB8t3c2B/m02qpLI1W8GZpTklNWJQmRwVhB7xzc9NpVJhRBdr1k0QBPzvdKli378lW08U46Pfz4if3zQ4GdcPSMSjY7uJz0NxlQFL/nsMdfVmt54LAPx46LwYtDVVWGHAsk0nPZ4BJPImBm5edqyhMEGlArp2aH/MVUtUKpWYEaisM6Gk2rE9ONIO94kudLgn11jnlVozGO0VJ5TJmu+6N+NmY+8+N0EQcK4hcIsK0YqTB1wRGRwo/nHizFKpbWKCSgV0iXP8dWYrUACsGTdXR2/ZbDoqz7a1lu2WLZeedN9yaWFFHVZnZYufT+yfiBsHJAIAgrUBmD2uB6Ib2sTkltZg5W+n3XYuAFBUacBXe84BsD53j13THTOv6ooJfRPENjH1Zgs++O00LBZlnhMiX8fAzYtqjCaxoWjHqGAEa51fuZYtlzq4z02pDvfkOnHQfDvzSsvd3ArExplebpUGE2oaRmQp9fukUqnEbE95Tb1dI8Fs6urNYrDXMSrYqUBS+sdReW29rBWLs2qMJvzesGdNH6iRBWdNJUUGifvszpRU45wLjYjb8uvxYjEAGtMzDrcMSZYFk1Eh1lYlIQ1B9K4zF9y210wQBHy8/Yw4PWJsr3gMTInEZZ2jMeWyFDw9sRc6hFv/sDhRWIXMw+fdch5EvoaBmxcdP18ltgDo4eQyqU2aC/vclN6PRM4LbwjcLBYBNcbWl6FKZO1b3LhU6kQvN6WXSW2cLVA4XVwtvs66OpFts0lVeILC1hMl4nzhkV1j2g0opYFdlhuybiazBb8dt1a3atQqTB6c3GIGMCkyCJdLKl+l7YyUtPPMBew/a93PFhEciD8NTpZ9XR+owb2j02A7xQ278tzaay6vrBbrd5112/US2YuBmxdJ97e1tLfFEZ2lgZuDbypKdbgn19nby0265ycx0n3BtjO93Nz1h4B0gsGx8/a3pJBuZu/Wwfk/kDpLJygoUFmadbJY/PfYXs2LEpoa3iVaDKR+P1Wi2HKtze7cMvF3bkhqVJuFKL0TGvtNHnFDIFNrNOM//2tsBTVteCdxqVqqR3wYrultnbRTb7bgg63KL5mW19bjw23ZmP/lAXy7Lx+v/nAEPx4sUPznT2QvBm5epERFqU1EUCBiGjaSZxc3jvZpj5Id7sl1sl5ubYy9ym3IOOm1GtlyptKc6eWmdCsQm96JjcHCIcm0kfbsa8jaqFSOTyaRUjLjVlZjRE5D8JcSHYykyPZ/TuH6QPRPts4xvlBtVDxgsvWSA4AxPeLaPLZ7fKj4f8XhfPufC3tt2J0nbgcY0DESQzpFtXrszUOSxSXTk4VV+PGQMkumRpMFG/fn4//W78fmo40NkgUBWPtHLj7anmP3/7NESmLgJmGxCCgor8OO7FJ8s++c7C91pRlMZnEvWnyEXpHyflvWzWiy2L0HpqhSuQ735LpQSeBWXttyxq3GaMKFhqXSjlFBbm3f4kwvN3dl3GJDdY1v0EVVdlU0FlcZxNdCWmyILKPp+PfXinu7sotdK1A4kNcY7AxMibD7fu4qUiisqBOD4Q7hOvRKaPsPSX2gRtxXe768Tvx9VMLZCzX4+Yg1+NIGqDFtRKc2f8d1ARrMuFyyZLr7rKzgyhnnK+rw3JcHsG7nWfH3TB+oQXrnxgDylyOFeOvn4x6prCWSuuQDN4tFwPcH8vH8N4cw6+NdmLdhP5b/chIbduVhSeYxbHdTw8tTRdViSr+7E32lWiItULA3IyD9Dy6JFaVeZ08vN2kfM2l/M3exLZ/berm1x7bPSBeoVrxwok+SNcixWAS79hrZ9kgBcLnXl3SCQmWdSTYmzlH78srEf/dPtv+8BqVEQt+wZLjzzAVxj5yrfj3euGx7Zfc4u/4YkGZADxcol3X7RZLdunFgkl3bN7p1CMO4hiVTk1lwqcq02mDCGz8dR1GlNcOsUlkLNV66uT9mXdUN912eJrbt2X+2HC9/d0TxaRpEbbnkA7cv9uThsx1nkV1cLVYvSa387bRblgKky6TO9m9rKk0yLsveylJ3bSQn58iXSlsOkqQb86X9zdzFkV5uRpNFXFJNjFA+G9hHulxqx+tynyRwG6hAk1ZpEdDR884tVZrMFhxsyG6F6AJkf3C1RxugRnqnxhFYSvzf1LQoYbSk8KAtvRIb/986kq/Msq3RZBErbbUB6hYbErfm5iEd0SHc+n/YqaJqp5ZMTWYLlv9yEucb/l9MjNRj/o19MX1kZ3FVZHS3WDwxvoe4584TbVGIpC7pwG13zgVxDh9gXSIYkhqFSYOSMCwtGoB1D9g/N51AbqmyY26OSbIFru5vs0mNCRaXC07ZWVl6jhWlPiVcEri1VpwgzbileCRws7+X2/mKOjFb4o7fp96JYeLv+MFzbW9lMJosYmATERyIlGjXf1bO7rOTOllUjbqGiuF+yeEO7ysd3ClS/PfunAtOnYPU3rONRQmDO7VdlCDVJTYUARrruR9RKOO288wF1Db8bIZ2jm6xIKE12gA17hvdWfz9+GK341Wma/7IFX9nwvTWvnUp0c2z2r0TwzHv+sbJEYfOVbDalDzmkg3czpfX4X3JX0l/HpqCRTcPwMNXd8NNg5Jx/xVdMLBhrE2d0Ywl/z3m8KDt1pjMFpxsGNQcFaKVZTRcoQ/UiJucz16ohcHU/t4L6Uby+HAGbt4WqnNsqTQ50v1LpY70ciuocG8GN1gbIGa98sva3lt1tKBSzKL3T45QJPvXrUOoOE/4UH6FU/vc9kv2zjqyTGrTJylcLBjZe7bc5erGzUcbixKu7GFftg2wBkrdGrZ5lFQZxaVFV2w5LjkXOzN/Ut2bVJmuyjpt98/n5yPn8UvD+DGNWoWHr+7W5jJtYkQQbhnSUfx8w+48r1SaltfWK/beRP7hkg3c3ttySvyrd2jnaEzoGy/7ukatwkNjuohd1str6rEk85hDjT9bk1NaI+5N6d7B8YHXbbG9qQmC0G7WTRAEcSN5tEId7sk14UFtZ9wEQRCXSmNCtQ5lJJzlSC83T/QE7JvUuJm/reXSvWfLxH8rNcsyUKMWey6W19TLrtde+xvOy9kqV12ABn2TrPerqK2XjfNyVFGlQVy2jQvTyZai7SHNQLqadTtfUSdmreIj9GJQ6Kg/DU5GXMPv7InzVfjpcGE797Bmb/+zvXE2692jOtu1EjKiSwziG37Pj5+vtGv53hWCIOBwfgW+2XcOb286gSc/24s5a/fgb5/vw5d7vBM4kuddsoGbbVN+YqQe947u3GLwpAvQ4LFruosvzILyOry/5ZTL31vag8rVxrtNSf8jPdjOUk5FrUlcluAyqW8ICtSIG59bCtyKqgww1FuD/hQPFCYAjvVyk7UCcVOxS5+k9pcrBUHAvoYASaNWiYGO0t+/vddYU6XVRjFj6kqV62BJe4w9uWVOPQbQJMPVw76iBKlekn5uru632+JEgURL9IEa3DO6s/j55zvPorCNWaYH8sqxbNNJMeiZ0C8Bo7vZl+3TqFW4aWCS+PkXbsy6CYKAZb+cxGs/HMWGXXnYdeaCLOP81Z5z+ILB2yXhkg3cAOsL/JGru7eZaQrTB+KJcT0Q3rAxdf/ZcpwodG0vw3Fp4912yu4dJav0auc/0vwKaRNXVpT6ApVKJf6uFVUaYGpSMCOrKFVgz5Y9HOnlZstAqVRAhzD3NHPuEhsCXWDby5X55XViIUWP+DBFs8l9XNjntk+SBezvQhZwQEqEuJdrl5P73MwWAb+dsAZLarUKo7s6vjTZOSZYfC6O5Fc6HTSYzBZkSc5lVLfWx3/Zo1dCOK5uaGpcb7Zg5W+nZWPibDYdLcTS/za29BiYEolbJcuf9hiWFo3khr2mp4qqZQUxSvrv4ULsOiN/rvWBGtns3W/25nttyZY855IO3O67PM2ufThxYTrZXgbb0GNnCIIgVpSG6AKQpHCmKyIoUKw0PFNS3ebSbj4rSn2SrT1MXb252TKYp1uBAPb3cqurN4s90+LC9GKwp7QAjRo94xuXCqU/E5t9smVS+/uk2aNjVJAYXB89X9EsuG6LtD2JrZmuM8L1geIUiPPldU6Nejp0rkIMZgZ2jBA32jsiQKNG94bzKK+tl+1xdMT+vHKU11rPZVBKpN0FEm25Nb2j2JT8RGEV/rZuHz7bkYsqgwkWi4BP/8jFR9vOiL/PgztF4qExXRwuFlGpVLhpUOM4LncETrmlNfh8Z+NS7tTLUvD85H745x2DMe/6Prh9WCfxa9/uY/B2sbtkA7fxfRKQntp6N+6mRnSJFjeqHjxXIRYXOOpkURWqG4Ippfe32diWcgSh7awbh8v7pv6SQGN/kybQnm4FYiPt5dbaHwOH8ytgMlvfLHonKptJbqpvO8uV+xTs39aUSqUSs26GegtO2dl6p95sEfudhekDZCO0nDGooXgKcK661JZtA2D30mBLZPvcnGwL8usx+TKpEvSBGjx4ZRcx21pvtuD7AwX42+f78PL3R/DDwQLx2Al9E/Dw1d2gC3AuMzukUyQ6NTyfuaU1TmdBW2I0WfDellPia2t8n3hk9E1AUmRju51xfeJxx3B58LZ+V55i5yBV5GRwTsq5ZAO3SZJ9CfYI0Khxw8BE8XNns27S4dDSLtxK6pPY+MbfVuCWL5mukMjmuz6jX3LjMth+SeYIaMy4BWrU6BDmuWBbWvlc3EqBgtI909oi3WfW9He8xmgSs9odwnWID1d+ydaefXZNHTtfKe5P7N8x0uU/2oZI2oI4us+t2mDCnlxrcBGmD3Ap+ycN0p3ZnH+h2oj9DQ2Jo0K0iu5H7NYhDItu6Y/xfeLF1iV19WacbPj9UKlUuGtkKqZcluLS86FSqfCnwY1Zty92n1NsZur6XWfF2cQdo4JwcytLudf0jse0EY3B28b9+dh5plSRc7AxmS34ICtb0cckx12ygZszMzlHdokRU+8H8spxysGsm9Fkwf9OW19I2gB1m/P3XNE9PlTc4H4wr43ArSHjFqTVyPqHkXeF6wPFuZhnL9SKG5ANJrO4yTopMkh8jj1B2hahpQIFQRDEKs5AjVrWnNUdEiP04tKetO0HYM3A2d40+ye7HiC1pI+sCMi+PU3yKQ6uL992CNcjMdIavJ8sqhKXGu3xv+xSMYMzoksMAlxY1k6JCkZwwyiwowWO73PberJY7P13ebdYxeclh+sDcduwTlh08wCM6RknPr5eq8Hscd1xlQNNftvSPzlC3G92rqwW/8t2PWg6kFeOzIZGwgEaFR64sovYjqYlY3vJM29r/per6EiuL/acQ46Lc3rJdZds4OaMAI0a1/VvzLp9vTe/jaOb259XJlZxpqdGua39hj5QI5bSF1cZWqyoqqs3iyN7EiP0bp13SY4b0MJy6bmyxua2nlwmBeS93FqaypFTWiPul+qVGOb0kpO9VCqV2Bak3mzBCckkkn0KB0gtiQrRikHT6eJq1BjbbxO0L69x2L2jbTdaMzjF+sefIMj39bUnS7JMOsqJogQptVolzjatNpiQW2r/nFCLRcCWhmVSlQq43InebfaKDtFi+sjOeHFyP9w5IhULbuyLfi5kGpuyZt0as2Ff7M5zaP9jU5V19fhA2ms0PcWufa1je3VA34brulBtxMb9jr1PtebQuQp8f0CZxyLXMHBz0OXdYhHV8Ca272yZ3aOlACDrROMyqXRYtDvIlnJaWL4orGjMmnCZ1PdI31BsgZu39rcBQK/Exg7/WSdLmr0h7fXgMqmNNPj5/VQJfjxYgFd/OCIOX9cGqBVvtyNlCxyte0nb3ttVWFknjlHq2iFUHFbvqkGyKQpldt0nv7xW7PGYEh0s7s1yhXQovSP93P7ILhUrlfskhts1l9RVHcL1uLpXB7HXm5L6JIWLe/6KKg2yFieO+s/2HDGL2i85Atf0ti8zqFKpcMewTmJG/vsDBU4Vr0hV1NXj/d9OgfUOvoGBm4MCNGpcL8u62bfXrcpgEt+AI4ID0TtBuX0cLZE2KW1p8/a5cun+NhYm+Jq0mBCENixfHzpnrVz0RkWpTURQoLgZvqK2vtmeqn2Sz92V5WpK+sfJb8eLsfaPXFlLigEdI9tcVnL5+zswN1XaxmGAE9MSWtMlNkQ2dsmeZbGtkj8gRyn0B6S0QCHrZIldy6WCIMiyQRP6JShyLt52S3pj1u3rveecWqrcf7Zc3FYTogvAfaPTHFoVSYjQY0Jf68/TbBHwn//lOF1lKggCVv2W3ZhRd/N7F7WPgZsTLu8ei8hga9Ztb24Zztix5v/H6VKYG/bdjEiLUXwfR1Op0Y37To4UVDbbKMvh8r5NrVaJG8br6s04Xlglz7h5qIeb1FU9G6v9Nh9rbNxaXlsvZp47RgUhxgNZE8AaTLY0RzI2VIfxfeQbtd2hZ0KY+Dpuq0DBaLLIBp47Us3eHpVKJQbU9ZLh9a2xWAQxI6lWqzBCocAtMUKPzg1TW3JLa7DjTPtVlXvPlsuaESu1fOxtabEhGNLwHJfX1ts1uUGqrt6Mf/+eLX4+9bIUp1q1XD8gUVwdOphXjl12ZmSb+ulwobgMH6YPwPSRnZ16HFIOAzcnBGrUuK5/41+HH2/PabeCKOtkY8rc3cukgHzfSY3BhDOlNbKvS3u4JbH5rk+SLZeeLRf3DkUEBSrS58pRfRLDxeWlQ+cqxL2TB/Kke8oiPXpOfx7aURyPdEt6Rzw/uR9evqU/bhvWye0/I32gBl3jrHtJCyvqWm1OvPVksZitGJIapfgfStK2IDva2RB/KL8CZTXWva39kyMU+xk1r6rMa/P/REEQ8O2+xtWK6wckXlT7bG8ekixWhn93IN+hUYlf7T0nNo/ulRjmdFZUH6jB7cNSxM8/+V+OXfOrpXJLa/CZpH/cfZenORVEkrIYuDnpiu5x6NDQZuBkYRX+e/h8q8cWlNeJe0o6RgW1mCVwB3mvK3nlm200kUat8si+EnKctC3I76dLxP5/yR7e32ajUqlwZY/GrNuvDft3pMumA1M8s0xq0zcpAi/9qT/mXtcb1/VPlPW28oT22oKYzBZ8J1kOlG6zUEqvhHDoG2bW/u90KY6db32/nfQPyNEuTidoqm9SuDjfs6C8Dr+fLmn12MP5lbL/E6XB58UgMSJI7I1XazTLfgfaklNSgx8PNlaR3jWi5XGM9hrSKUr8HS2tNuLbffYXF1TW1eOfP58Qq4/H9Yn3+B9m1DIGbk7SBqhx7+g08Y11/a48nG+lMeHvp6RFCe6rmmqqTyvjrywWQexw3iFc59G2EmS/UF0A0hqWn6Tjejw1o7Qll3ePFX9ffjtehLp6s/hHQYguAF1inRsM7q/aawS8/XSpmD3plxwhLicqSRugls3LXLU1G0ZT82rGGqMJu86UAbA+V+5oTCzNun2151yrVZXf7m/Mtl3X/+LKttncNChZ7B330+FC2VzRllgsAv61LVvci3b9gCSXs7MqlQrThqeKr9mN+/PFvXNtMZkteHvTSTGL3CkmGLemOzYKjNyHgZsLesSHYWyveADW/SUfbD3dbAOoIDTuKVGprBMYPKVDuF7Mph0/XwWDyQyjyYJv9ueLf0WxotS3tTTP0tMVpVLh+kBxwHllnQmf7sgVm8oO6Bjh9r2bvqZzTAiCGrJdO8+UyhqeWiwCvpVkWm4cqHy2zWZc73ixh1hhRR2+2NO8a37mofNiv7vhXaLdMpKsZ0KYmOEpqjTIpjPYnCisEicsdAjX47LOnvs/0ZOiQ7QYK5mX+lU7hWw/HylEdsNe0cRIPa5TqFgjIUKPGxoCe0EA3ttyCnvbaNgsCAI+3HZGnKkdERSIR8d2d9sIO3IcnwkX3TwkWdz3c+J8VbONqCcKq2Tl7raiBk/pm2z9T9RsEbBuZx7mbdiPL3c3/qeeqkArAHKfljrae7qitKkxkuXSzUcbixQuxWUUjVqF8X2sf7wJAvDu5lPinr+dORfEFiA9EsLE2aLuoFarcO/oNDGz8uPBArFBuCBY53JKp704M1DeXpMlWbdv9uU3y/5Jl+uu659wUQf71/VPFPt1/nqsCF+0MkN0b24Z1u8+K35+98jOLjVFburGAYm4oqFHnsUiYPkvJ3G0oOUl9R8OnsfWhoA7UKPGI2O7ITrEs+9b1DYGbi7SB2pwz+jO4uef7zyLgvI6nCiswvpdZ/HB1sYGikpVcDlCWqb/0+HzYtNdlQoY0zNOfNMh39Q5JhhhkqkWKpVKbPzqLb0Tw8T9nTYqlQr9ki+OqkBHTRqYJO5nMlsE/PPnEzh+vlIWoNwwwH3ZNpukyCBx2LkgWJdMa41mvLP5lGwu540Dk9yyZGvTNS4UAxv2rF2oNuLXY0UwWwScr6hD1slisUIxKkSLkV08/3+iJ4XpA3GjZBn7673nsOyXk2KLEJPZgrV/5ODNn46Lmesre8SJewWVolKpMH1kZ1yWZs1u1pstePOn4836kO7NLZMNs7/v8jR0ibu0tj/4A845UkCvhHBc3asDNh0pRL3Zgme+2N+sUaEu0H0jrtrSOzEcKhVk59MvOQJTLktBMqtJfZ41IIoQl9sTInReX7JQqVQY0yMOn+1ozBD0iA9FsPbS/O9EpVLh7lGdUVtvxq4zF1BvtuDVH46K7X882epiQt947DhTipySGpwrq8Xc9ftQWWdqOE/gzhGpio14asvkQcnictynO3Lx6Y5c8edhM7FfgqJZJV81oW88VCrgsx25EARrT7+iSgNuH9YJn+3IlQVPgztFYuplKW08mvPUahXuvzwNdfVm7D9bjrp6M17/8SgSwvWorDOh0lAvBo8AMGlQEoalXZzL2P7u4n/VeMit6R3FOaZNg7bOsSF46Mqubhtx1ZZQXQCGNuwh6RgVhDkZPfDE+B4M2vyIdAnSm4UJUqO6xcqKWi7FZVIpjVqFB6/sIhYrSIMUT7a6CNCocd/oNHH50Ra06QLVeOwa5eZytqdTTLD4/47ZIjQL2mJCtbiie1xLd73oqFQqTOibgMev6SFW/+aW1uCV74+IQZtGrcLtwzrh4au7ufV9IkCjxl+u6ooeDa2iao1mnC6uRnGVQRa0De0cjUmSTCH5Fq8HbsuWLUNaWhr0ej3S09OxZcuWNo/fvHkz0tPTodfr0aVLF7zzzjseOtO26QM1eOCKLgjSaqzZtdQo3Ds6DYunDMKzN/QRlw684aEru+DlWwZgwaS+sokK5B8GdIxAh3Ad1GqVR3oA2iNcHyg2klWpcNG1c3BGoEaNWVd3E+cEA95pdZESHSxrOxIeFIinJvTyeHB9a3pHdAi3Zog7RgVhaOdo3DAwETOuSMOzN/Rx61QLX9S/YwTmXde72TaDDuE6/N91vTGuT7xHAnxdgAaPje0u/p6qVNYq44QIPbrHh+HGgUm473LX2pCQe6kEZ+dgKGDt2rW46667sGzZMowePRrvvvsu3n//fRw6dAidOjXven769Gn069cPDzzwAB566CFs3boVs2bNwpo1a3DLLbfY9T0rKioQERGB8vJyhIcrv3xhazp5MW+4Jc8zmS2oM1kQqtCMSyVU1NXji9156BoXKu7xImvbjeW/nERuaQ1mXd3NrfNSW2MyW/DpjrMor63Hn4d29GqvRkEQGARIVBlMeO/XUzh4rhzD0qJx14jOYmWyJwmCgBqjGUGBGofer9z9Hkrt82rgNnz4cAwZMgTLly8Xb+vduzcmT56MRYsWNTv+b3/7G7766iscPnxYvG3mzJnYu3cvtm3b1uL3MBgMMBgaO5pXVFQgJSWFv3REROQ1RpPFL7OODNy8z2u/NUajETt37kRGRobs9oyMDGRlZbV4n23btjU7fsKECdixYwfq6+tbvM+iRYsQEREhfqSkuGfjJxERkb38MWgj3+C135zi4mKYzWbEx8vbUcTHx6OgoKDF+xQUFLR4vMlkQnFx80aPADB37lyUl5eLH7m5uS0eR0REROTrvL5hpuneh/b2Q7R0fEu32+h0Ouh0nMVJRERE/s9rGbfY2FhoNJpm2bXCwsJmWTWbhISEFo8PCAhATIxvVNsRERERuYvXAjetVov09HRkZmbKbs/MzMSoUaNavM/IkSObHf/jjz9i6NChCAwMdNu5EhEREfkCr+6OnDNnDt5//3188MEHOHz4MJ544gnk5ORg5syZAKz706ZPny4eP3PmTJw5cwZz5szB4cOH8cEHH2DlypV48sknvXUJRERERB7j1T1uU6dORUlJCRYuXIj8/Hz069cPGzduRGpqKgAgPz8fOTk54vFpaWnYuHEjnnjiCbz99ttISkrCm2++aXcPNyIiIiJ/5tU+bt7AHjRERETO4Xuo97GRDBEREZGfYOBGRERE5CcYuBERERH5Ca834PU025a+iooKL58JERGRf7G9d15i2+N9yiUXuJWUlAAAZ5YSERE5qaSkBBEREd4+jUvSJRe4RUdHAwBycnIuil+6iooKpKSkIDc396Ko8LmYrudiuhaA1+PLLqZrAXg9vqy8vBydOnUS30vJ8y65wE2ttm7ri4iI8PsXkFR4eDivx0ddTNcC8Hp82cV0LQCvx5fZ3kvJ8/iTJyIiIvITDNyIiIiI/MQlF7jpdDrMnz8fOp3O26eiCF6P77qYrgXg9fiyi+laAF6PL7uYrsVfXXIjr4iIiIj81SWXcSMiIiLyVwzciIiIiPwEAzciIiIiP8HAjYiIiMhPXBSB27Jly5CWlga9Xo/09HRs2bLFrvtt3boVAQEBGDRoULOvrVu3Dn369IFOp0OfPn2wYcMGhc+6ZUpfy+rVq6FSqZp91NXVueHsm3Pken755ZcWz/XIkSOy47z13ADKX483nx9Hf9cMBgPmzZuH1NRU6HQ6dO3aFR988IHsGH95boD2r8efXjv33HNPi+fat29f2XH+8P+aPdfiT88NAHz88ccYOHAggoODkZiYiHvvvVccv2jjT6+d9q7H28/PRU/wc5988okQGBgovPfee8KhQ4eExx9/XAgJCRHOnDnT5v3KysqELl26CBkZGcLAgQNlX8vKyhI0Go3w0ksvCYcPHxZeeuklISAgQPj999/deCXuuZZVq1YJ4eHhQn5+vuzDExy9nk2bNgkAhKNHj8rO1WQyicd467lx1/V46/lx5ndt0qRJwvDhw4XMzEzh9OnTwvbt24WtW7eKX/en58ae6/Gn105ZWZnsHHNzc4Xo6Ghh/vz54jH+8v+aPdfiT8/Nli1bBLVaLbzxxhvCqVOnhC1btgh9+/YVJk+eLB7jT68de67Hm8/PpcDvA7dhw4YJM2fOlN3Wq1cv4emnn27zflOnThWeeeYZYf78+c2CnSlTpgjXXnut7LYJEyYIt912myLn3Bp3XMuqVauEiIgIhc/UPo5ejy3QuXDhQquP6a3nRhDccz3een4cvZbvvvtOiIiIEEpKSlp9TH96buy5Hn967TS1YcMGQaVSCdnZ2eJt/vb/mk1L1+JPz82rr74qdOnSRXbbm2++KXTs2FH83J9eO/Zcjzefn0uBXy+VGo1G7Ny5ExkZGbLbMzIykJWV1er9Vq1ahZMnT2L+/Pktfn3btm3NHnPChAltPqar3HUtAFBVVYXU1FR07NgRN9xwA3bv3q3YebfG2esBgMGDByMxMRHXXHMNNm3aJPuaN54bwH3XA3j++XHmWr766isMHToUr7zyCpKTk9GjRw88+eSTqK2tFY/xp+fGnusB/O+1Y7Ny5UqMGzcOqamp4m3+9P+aVEvXAvjPczNq1CicPXsWGzduhCAIOH/+PD7//HNcf/314jH+9Nqx53oA7zw/lwq/DtyKi4thNpsRHx8vuz0+Ph4FBQUt3uf48eN4+umn8fHHHyMgIKDFYwoKChx6TCW461p69eqF1atX46uvvsKaNWug1+sxevRoHD9+XPFrkHLmehITE7FixQqsW7cO69evR8+ePXHNNdfg119/FY/xxnMDuO96vPH8OHMtp06dwm+//YYDBw5gw4YNWLp0KT7//HM8/PDD4jH+9NzYcz3+9NqRys/Px3fffYf7779fdru//L8m1dq1+NNzM2rUKHz88ceYOnUqtFotEhISEBkZibfeeks8xp9eO/Zcj7een0tFy+/2fkalUsk+FwSh2W0AYDabcccdd+Dvf/87evToochjKk3paxkxYgRGjBghfj569GgMGTIEb731Ft58803lTrwVjvwce/bsiZ49e4qfjxw5Erm5uXjttddw5ZVXOvWYSlP6erz5/DhyLRaLBSqVCh9//DEiIiIAAIsXL8att96Kt99+G0FBQQ4/ptKUvh5/eu1IrV69GpGRkZg8ebJij+kqpa/Fn56bQ4cO4bHHHsNzzz2HCRMmID8/H3/9618xc+ZMrFy50qnHVJrS1+Pt5+di59eBW2xsLDQaTbO/DAoLC5v9BQEAlZWV2LFjB3bv3o1HHnkEgPU/cEEQEBAQgB9//BFjx45FQkKC3Y/p69fSlFqtxmWXXeb2v3wcvZ7WjBgxAh999JH4uTeeG8B919OUJ54fZ64lMTERycnJYpADAL1794YgCDh79iy6d+/uV8+NPdfTlD+8dgRBwAcffIC77roLWq1W9jV/+H9Nqq1racqXn5tFixZh9OjR+Otf/woAGDBgAEJCQnDFFVfghRdeQGJiol+9duy5nqY89fxcKvx6qVSr1SI9PR2ZmZmy2zMzMzFq1Khmx4eHh2P//v3Ys2eP+DFz5kz07NkTe/bswfDhwwFYMyNNH/PHH39s8TF9/VqaEgQBe/bsafHFpSRHr6c1u3fvlp2rN54bwH3X05Qnnh9nrmX06NE4d+4cqqqqxNuOHTsGtVqNjh07AvCv58ae62nKH147mzdvxokTJzBjxoxmX/OH/9ek2rqWpnz5uampqYFaLX+r1Wg0AKznDfjXa8ee62nKU8/PJcMTFRDuZCtlXrlypXDo0CFh9uzZQkhIiFiB9PTTTwt33XVXq/dvqRJz69atgkajEV5++WXh8OHDwssvv+zRsnklr2XBggXC999/L5w8eVLYvXu3cO+99woBAQHC9u3b3XkpgiA4fj1LliwRNmzYIBw7dkw4cOCA8PTTTwsAhHXr1onHeOu5cdf1eOv5cfRaKisrhY4dOwq33nqrcPDgQWHz5s1C9+7dhfvvv188xp+eG3uux59eOzZ33nmnMHz48BYf09/+X2vrWvzpuVm1apUQEBAgLFu2TDh58qTw22+/CUOHDhWGDRsmHuNPrx17rsebz8+lwO8DN0EQhLfffltITU0VtFqtMGTIEGHz5s3i1+6++25hzJgxrd63pWBHEAThs88+E3r27CkEBgYKvXr1kr3ZupPS1zJ79myhU6dOglarFeLi4oSMjAwhKyvLTWffnCPX849//EPo2rWroNfrhaioKOHyyy8Xvv3222aP6a3nRhCUvx5vPj+O/q4dPnxYGDdunBAUFCR07NhRmDNnjlBTUyM7xl+eG0Fo/3r86bUjCNb+Z0FBQcKKFStafUx/+X+tvWvxt+fmzTffFPr06SMEBQUJiYmJwrRp04SzZ8/KjvGn10571+Pt5+dipxKEVnKbRERERORT/HqPGxEREdGlhIEbERERkZ9g4EZERETkJxi4EREREfkJBm5EREREfoKBGxEREZGfYOBGRERE5CcYuBERERH5CQZuROQRRqMR3bp1w9atW719Kk657LLLsH79em+fBhFd4hi4EV1iVCpVmx/33HOPW77vihUrkJqaitGjR4u3vfjiixg1ahSCg4MRGRnZ6n3PnDkDnU6HiooKLFiwACqVCtdee22z41555RWoVCpcddVV4m0LFizAoEGDmh2bnZ0NlUqFPXv22HX+zz77LJ5++mlYLBa7jicicgcGbkSXmPz8fPFj6dKlCA8Pl932xhtvuOX7vvXWW7j//vtltxmNRvz5z3/GX/7ylzbv++WXX+Kqq65CeHg4ACAxMRGbNm3C2bNnZcetWrUKnTp1UvbEG1x//fUoLy/HDz/84JbHJyKyBwM3oktMQkKC+BEREQGVSiV+HhgYiJkzZ6Jjx44IDg5G//79sWbNGtn9O3fujKVLl8puGzRoEBYsWNDq99y1axdOnDiB66+/Xnb73//+dzzxxBPo379/m+f85ZdfYtKkSeLnHTp0QEZGBv71r3+Jt2VlZaG4uLjZ97DXPffc02IG8pdffgEAaDQaXHfddc1+HkREnsTAjYhEdXV1SE9PxzfffIMDBw7gwQcfxF133YXt27e79Li//vorevToIWbMHFFWVoYtW7bIAjcAuO+++7B69Wrx8w8++ADTpk2DVqt16hzfeOMNWebx8ccfR4cOHdCrVy/xmGHDhmHLli1OPT4RkRIYuBGRKDk5GU8++SQGDRqELl264NFHH8WECRPw2WefufS42dnZSEpKcuq+GzduRP/+/ZGSkiK7/YYbbkBFRQV+/fVXVFdX49NPP8V9993X4mPs378foaGhso++ffvKjomIiBAzj1lZWXjnnXewbt06JCQkiMckJycjJyeH+9yIyGsCvH0CROQ7zGYzXn75ZaxduxZ5eXkwGAwwGAwICQlx6XFra2uh1+udum/TZVKbwMBA3HnnnVi1ahVOnTqFHj16YMCAAS0+Rs+ePfHVV1/JbsvLy5MVMdjs3r0b06dPx9tvv43LL79c9rWgoCBYLBYYDAYEBQU5dT1ERK5g4EZEotdffx1LlizB0qVL0b9/f4SEhGD27NkwGo3iMWq1GoIgyO5XX1/f5uPGxsZi//79Dp9PfX09vv/+e8ydO7fFr993330YPnw4Dhw40Gq2DQC0Wi26desmuy0goPl/fwUFBZg0aRJmzJiBGTNmNPt6aWkpgoODGbQRkddwqZSIRFu2bMFNN92EO++8EwMHDkSXLl1w/Phx2TFxcXHIz88XP6+oqMDp06fbfNzBgwfjyJEjzQK+9mzatAmRkZEttvMAgL59+6Jv3744cOAA7rjjDoceu6m6ujrcdNNN6NWrFxYvXtziMQcOHMCQIUNc+j5ERK5gxo2IRN26dcO6deuQlZWFqKgoLF68GAUFBejdu7d4zNixY7F69WrceOONiIqKwrPPPguNRtPm41599dWorq7GwYMH0a9fP/H2nJwclJaWIicnB2azWeyp1q1bN4SGhuKrr75qcZlU6ueff0Z9fX2bfeDs8dBDDyE3Nxc//fQTioqKxNujo6PFgoctW7YgIyPDpe9DROQKZtyISPTss89iyJAhmDBhAq666iokJCRg8uTJsmPmzp2LK6+8EjfccAOuu+46TJ48GV27dm3zcWNiYnDzzTfj448/lt3+3HPPYfDgwZg/fz6qqqowePBgDB48GDt27AAAfPXVV7jpppvafOyQkBCXgzYA2Lx5M/Lz89GnTx8kJiaKH1lZWQCse+KysrJw7733uvy9iIicpRIcXbsgInLC/v37MW7cOJw4cQJhYWHtHr9r1y6MHTsWRUVFCAwM9MAZtu2vf/0rysvLsWLFCm+fChFdwphxIyKP6N+/P1555RVkZ2fbdbzJZMJbb73lE0EbYG36+/zzz3v7NIjoEseMGxEREZGfYMaNiIiIyE8wcCMiIiLyEwzciIiIiPwEAzciIiIiP8HAjYiIiMhPMHAjIiIi8hMM3IiIiIj8BAM3IiIiIj/BwI2IiIjIT/x/FepDtBUn3jEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_13C.M = 4\n", "\n", "XY8_13C.run()\n", "Analysis(XY8_13C).plot_results(title=r'XY8-4 $^{13}$C, $B_0=40$ mT, $\\theta_0=1.14^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$M=6$:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_13C.M = 6\n", "\n", "XY8_13C.run()\n", "Analysis(XY8_13C).plot_results(title=r'XY8-6 $^{13}$C, $B_0=40$ mT, $\\theta_0=1.14^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$M=8$:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_13C.M = 8\n", "\n", "XY8_13C.run()\n", "Analysis(XY8_13C).plot_results(title=r'XY8-8 $^{13}$C, $B_0=40$ mT, $\\theta_0=1.14^\\circ$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. RXY8 with H2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As discussed in Sec. IV C, the finite length of the pulses can lead to ambiguous resonances. Here, we define the NV Hamiltonian as usual and a time-dependent magnetic field $B_2(t)$ as in Eq. 4." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys = NV(\n", " N=15,\n", " B0 = 40, \n", " units_B0='mT'\n", ")\n", "\n", "w1 = 20\n", "f2 = 5.5\n", "B2z = 0.3\n", "\n", "def B2(t):\n", " return B2z*np.sin(f2*t)\n", "\n", "H2 = [tensor(jmat(1,'z'), qeye(2)), B2] \n", "\n", "XY8_12_H2 = XY8(\n", " M=12,\n", " free_duration = np.linspace(.06, 0.17, 100), \n", " pi_pulse_duration = 1/2/w1,\n", " system = qsys,\n", " H1 = w1*qsys.MW_H1,\n", " pulse_params = {'f_pulse': qsys.MW_freqs[0]},\n", " H2 = H2\n", ")\n", "\n", "# the number of CPUs for the parallel computation can be specified with the num_cpus keyword argument\n", "XY8_12_H2.run(map_kw = {'num_cpus': 8})\n", "Analysis(XY8_12_H2).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These ambiguous resonances can be supressed with phase randomization, for that we use the RXY8 class." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "RXY8_12_H2 = RXY8(\n", " M=12,\n", " free_duration = np.linspace(.06, 0.17, 100),\n", " pi_pulse_duration = 1/2/w1,\n", " system = qsys, \n", " H1 = w1*qsys.MW_H1, \n", " pulse_params = {'f_pulse': qsys.MW_freqs[0]},\n", " H2 = H2\n", ")\n", "\n", "RXY8_12_H2.run()\n", "Analysis(RXY8_12_H2).plot_results()" ] } ], "metadata": { "kernelspec": { "display_name": "quaccatoo-env", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 2 }