{ "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:\n", "\n", "- L. Tsunaki, A. Singh, K. Volkova, S. Trofimov, T. Pregnolato, T. Schröder, & B. Naydenov. (2025). Ambiguous resonances in multipulse quantum sensing with nitrogen-vacancy centers. Physical Review A, 111(2), 022606. doi: [10.1103/PhysRevA.111.022606](https://journals.aps.org/pra/abstract/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, 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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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys_1 = 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_2_15N = XY8(\n", " free_duration = np.linspace(.25, .36, 100),\n", " system = qsys_1,\n", " M=2,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_1.MW_h1,\n", " # MW frequency for the ms=0 --> ms=+1 state transition\n", " pulse_params = {'f_pulse': qsys_1.MW_freqs[1]}, \n", " # Number of time steps in each MW pulse\n", " time_steps=100,\n", ")\n", "\n", "XY8_2_15N.plot_pulses(tau=.1, figsize=(12, 4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This leads to a $\\pi$-pulse duration shorter than $1/(2\\omega_1)$, resulting from a hyperfine enhancement effect.\n", "\n", "Given the defined system with the experimental parameters, the simplest dynamical decoupling sequence for suppressing the noise from the environment is the Hahn echo technique.\n", "The sequence is composed by two free evolutions of duration $\\tau$, with an intermediate $\\pi$-pulse to the electron spin.\n", "In addition, $\\pi/2$-pulses are included before and after the sequence to drive the electron spin from and to the quantization axis.\n", "In NMR, the last projective pulse is not required though, as the measurement is performed perpendicular to the quantization axis.\n", "The intermediate $\\pi$-pulse causes a refocusing of static or slow dephasings, such as those arising from the 14N nuclear spin.\n", "This allows the coupled 13C nuclear spin to be probed by the NV.\n", "\n", "For performing a Hahn echo simulation in the software component, we use the `Hahn` class:" ] }, { "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_2_15N.run()\n", "Analysis(XY8_2_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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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_4_15N = XY8(\n", " free_duration = np.linspace(.25, .36, 100),\n", " system = qsys_1,\n", " M=4,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_1.MW_h1,\n", " pulse_params = {'f_pulse': qsys_1.MW_freqs[1]}, \n", ")\n", "\n", "XY8_4_15N.run()\n", "Analysis(XY8_4_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_6_15N = XY8(\n", " free_duration = np.linspace(.25, .36, 100),\n", " system = qsys_1,\n", " M=6,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_1.MW_h1,\n", " pulse_params = {'f_pulse': qsys_1.MW_freqs[1]}, \n", ")\n", "\n", "XY8_6_15N.run()\n", "Analysis(XY8_6_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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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_8_15N = XY8(\n", " free_duration = np.linspace(.25, .36, 100),\n", " system = qsys_1,\n", " M=8,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_1.MW_h1,\n", " pulse_params = {'f_pulse': qsys_1.MW_freqs[1]}, \n", ")\n", "\n", "XY8_8_15N.run()\n", "Analysis(XY8_8_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_2 = NV(\n", " N=15,\n", " B0 = 33,\n", " units_B0='mT',\n", " theta=5.1,\n", " units_angles='deg'\n", ")\n", "\n", "XY8_15N_B1 = XY8(\n", " free_duration = np.linspace(.22, .45, 100),\n", " system = qsys_2,\n", " M=2,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_2.MW_h1,\n", " pulse_params = {'f_pulse': qsys_2.MW_freqs[1]}\n", ")\n", "\n", "XY8_15N_B1.run()\n", "Analysis(XY8_15N_B1).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_3 = NV(\n", " N=15,\n", " B0 = 26, \n", " units_B0='mT',\n", " theta = 9.3,\n", " units_angles='deg'\n", ")\n", "\n", "XY8_15N_B2 = XY8(\n", " free_duration = np.linspace(.22, .45, 100),\n", " system = qsys_3,\n", " M=2,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_3.MW_h1,\n", " pulse_params = {'f_pulse': qsys_3.MW_freqs[1]}\n", ")\n", "\n", "XY8_15N_B2.run()\n", "Analysis(XY8_15N_B2).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_4 = NV(\n", " N=15, \n", " B0 = 17, \n", " units_B0='mT',\n", " theta=17,\n", " units_angles='deg'\n", ")\n", "\n", "XY8_15N_B3 = XY8(\n", " free_duration = np.linspace(.25, .45, 100),\n", " system = qsys_4,\n", " M=2,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_4.MW_h1,\n", " pulse_params = {'f_pulse': qsys_4.MW_freqs[1]}\n", ")\n", "\n", "XY8_15N_B3.run()\n", "Analysis(XY8_15N_B3).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_B3_errors = XY8(\n", " free_duration = np.linspace(.25, .45, 100), \n", " system = qsys_4,\n", " M=2,\n", " pi_pulse_duration = 1/2/w1*.8,\n", " h1 = w1*qsys_4.MW_h1,\n", " pulse_params = {'f_pulse': qsys_4.MW_freqs[1]}\n", ")\n", "\n", "XY8_15N_B3_errors.run()\n", "Analysis(XY8_15N_B3_errors).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 $\\hat{H}_2$ 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_5 = NV(\n", " N=14,\n", " B0 = 18,\n", " units_B0='mT',\n", " theta=2.34,\n", " units_angles='deg',\n", ")\n", "\n", "qsys_5.add_spin(HhfC + Hzc(qsys_5.B0, qsys_5.theta))\n", "\n", "XY8_13C_B1 = XY8(\n", " free_duration = np.linspace(.4, .85, 100), \n", " system = qsys_5,\n", " M=2,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_5.MW_h1,\n", " pulse_params = {'f_pulse': qsys_5.MW_freqs[1]}\n", ")\n", "\n", "XY8_13C_B1.run()\n", "Analysis(XY8_13C_B1).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_6 = NV(\n", " N=14,\n", " B0 = 31,\n", " units_B0='mT',\n", " theta=1.35,\n", " units_angles='deg',\n", ")\n", "\n", "qsys_6.add_spin(HhfC + Hzc(qsys_6.B0, qsys_6.theta))\n", "\n", "XY8_13C_B2 = XY8(\n", " free_duration = np.linspace(.4, .85, 100),\n", " system = qsys_6,\n", " M=2,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_6.MW_h1,\n", " pulse_params = {'f_pulse': qsys_6.MW_freqs[1]}\n", ")\n", "\n", "XY8_13C_B2.run()\n", "Analysis(XY8_13C_B2).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_7 = NV(\n", " N=14,\n", " B0 = 40,\n", " units_B0='mT',\n", " theta=1.14,\n", " units_angles='deg',\n", ")\n", "\n", "qsys_7.add_spin(HhfC + Hzc(qsys_7.B0, qsys_7.theta))\n", "\n", "XY8_13C_B3 = XY8(\n", " free_duration = np.linspace(.4, .85, 100),\n", " system = qsys_7, \n", " M=2,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_7.MW_h1,\n", " pulse_params = {'f_pulse': qsys_7.MW_freqs[1]}\n", ")\n", "\n", "XY8_13C_B3.run()\n", "Analysis(XY8_13C_B3).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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ySwlr167FnDlz8Pzzz6OsrAx9+vTBqlWrcPvtt3v71ET2vDY2a9aswcMPP4xp06ZBr9djwoQJ2L59O7p27Soe463X5Y9//KOsOOPTTz/Fp59+CgA4deqUeI6CIMBsNouj5xy9PxE5TiUIHPRG5E/Wr1+P66+/Hnv27Glz5qkzampqEB0djZMnT4pLy1dccQWmTJmC+++/X5HnuBAo/drwdSGillicQORnNmzYgNtvv12xoA2wZnZuvPFGzJs3D/X19fj666+xe/dupyc2XKiUfm34uhBRS8y4EREAa7+we+65R9YvLCsry9undcHj60JEUgzciIiIiPwEl0qJiIiI/AQDNyIiIiI/wcCNiIiIyE9ccH3cLBYLzp49i7CwMA41JiIicoAgCKiurkZycjLUauZ+vOGCC9zOnj0rGx9DREREjsnLyxN7C5JneT1wW7JkCV599VUUFBSgf//+WLx4MS699NI2j7333nvxz3/+s9Xt/fr1a3d2X0thYWEArD90LUfJEBERUfuqqqqQlpYmvpeS53k1cFu9ejVmzpyJJUuWYMyYMXj33XcxYcIEHDx4EF26dGl1/BtvvIGXX35Z/NxkMmHw4MG49dZb7X5O2/JoeHg4AzciIiIncKuR93i1j9vFF1+MYcOGYenSpeJtffv2xaRJk7BgwYJO7//555/j5ptvxqlTp5Cent7mMQaDAQaDQfzc9tdCZWUlAzciIiIHVFVVISIigu+hXuS1nYVGoxE7duxo1QE8KysLW7dutesxli9fjquuuqrdoA0AFixYgIiICPGD+9uIiIjIX3ktcCspKYHZbEZCQoLs9oSEBBQWFnZ6/4KCAnz77bd44IEHOjxu9uzZqKysFD/y8vJcOm8iIiIib/F6cULLdXJBEOxaO1+5ciUiIyMxadKkDo/T6XTQ6XSunCIREZHbCYIAk8kEs9ns7VNpl9FoRHp6OoxGIxoaGrx9OueNwMBAaDQau471WuAWGxsLjUbTKrtWVFTUKgvXkiAI+OCDDzBlyhRotVp3niYREZHbGY1GFBQUoK6uztun0iGLxYJ33nkH586dQ3FxsbdP57yhUqmQmpqK0NDQTo/1WuCm1WqRmZmJ7Oxs3HTTTeLt2dnZuPHGGzu878aNG3H8+HFMmzbN3adJRETkVhaLBadOnYJGo0FycjK0Wq3PVm2azWbU19eja9eudmeIqGOCIKC4uBhnzpxBz549O/2+enWpdNasWZgyZQqGDx+OUaNGYdmyZcjNzcX06dMBWPen5efn41//+pfsfsuXL8fFF1+MAQMGeOO0iYiIFGM0GmGxWJCWlobg4GBvn06HbMu4er2egZuC4uLikJOTg8bGRt8O3CZPnozS0lLMnz8fBQUFGDBgANavXy9WiRYUFCA3N1d2n8rKSqxZswZvvPGGN06ZiIjILThC6sLlSIbVq33cvIE9aIiIyJc0NDTg1KlTyMjIgF6v9/bpdMhsNmPXrl0YOnQoM24KcuRnwOtVpUT+xmwR8M2+ApjMFozrE4/IYBbIEBGRZzAvS+Sg3XkV+GJXPr7ZW4Bn1uzDZzvOoM5o8vZpERH5rK5du2Lx4sXePg2nXH755Zg5c2aHx3jy+hi4ETkor6y5XL/RbMG3+wrw5zX78N3+AhhNFi+eGRGR5+Xl5WHatGliRWx6ejqeeOIJlJaWevvUzksM3IgcVFTd3HTStp+0zmDCp9vP4OVvD+MC2zZKRBewkydPYvjw4Th69ChWrVqF48eP45133sGPP/6IUaNGoayszCvnZTabYbGcn39IM3AjclBRlQGANWh7YdJAjO4RKwZwp0trUVJj9OLZERF5ziOPPAKtVosffvgBY8eORZcuXTBhwgT897//RX5+PubMmSMeW11djTvvvBOhoaFITk7GW2+9JXusefPmoUuXLtDpdEhOTsbjjz8ufs1oNOLpp59GSkoKQkJCcPHFF+Pnn38Wv26bpvT111+jX79+0Ol0eO+996DX61FRUSF7nscffxxjx44FAJSWluKOO+5AamoqgoODMXDgQKxatarVdZpMJjz66KOIjIxETEwMnn322Q7/SK+srMRDDz2E+Ph4hIeHY9y4cdizZ48j39p2sTiByEFF1dbALTJYi8QIPaZdkoGgQA1+PHQOAFBRZ0RcGMesEZFr5n91EJX1jR5/3oigQDx/Q79OjysrK8P333+PF198EUFBQbKvJSYm4q677sLq1auxZMkSAMCrr76Kv/zlL5g3bx6+//57PPnkk+jTpw/Gjx+Pzz77DIsWLcLHH3+M/v37o7CwUBbo3HfffcjJycHHH3+M5ORkrFu3Dtdccw327duHnj17AgDq6uqwYMECvP/++4iJiUFqairmzp2LNWvWiA37zWYzPvnkE8yfPx+AtZozMzMTf/7znxEeHo5vvvkGU6ZMQbdu3XDxxReLz//Pf/4T06ZNw7Zt27B9+3Y89NBDSE9Px4MPPtjq+yIIAq677jpER0dj/fr1iIiIwLvvvosrr7wSR48eRXR0tIOviBwDNyIH1BpMqDVYCxESwpuDs+iQ5srS8jrP/0dLROefyvpGVNT5bgb/2LFjEAQBffv2bfPrffv2RXl5uTgaa8yYMXjmmWcAAL169cKWLVuwaNEijB8/Hrm5uUhMTMRVV12FwMBAdOnSBSNGjAAAnDhxAqtWrcKZM2eQnJwMAHjqqafw3XffYcWKFXjppZcAAI2NjViyZAkGDx4snsPkyZPxn//8RwzcfvzxR5SXl+PWW28FAKSkpOCpp54Sj3/sscfw3Xff4dNPP5UFbmlpaVi0aBFUKhV69+6Nffv2YdGiRW0Gbhs2bMC+fftQVFQkzkp/7bXX8Pnnn+Ozzz7DQw895MR3uxkDNyIH2LJtABAX2hy4RQYHiv8u9+H/aInIf0QEBXZ+kA8/r20p0dZcdtSoUbKvjxo1SqzEvPXWW7F48WJ069YN11xzDa699lrccMMNCAgIwM6dOyEIAnr16iW7v8FgQExMjPi5VqvFoEGDZMfcddddGDVqFM6ePYvk5GR89NFHuPbaaxEVFQXAmoF7+eWXsXr1auTn58NgMMBgMCAkJET2OCNHjpQ1yR01ahRef/11mM3mVv3sduzYgZqaGtm5AUB9fT1OnDhh1/euIwzciBxQLAnc4sObmyRGSXq5+fJfyETkP+xZrvSmHj16QKVS4eDBg5g0aVKrrx8+fBhRUVGIjY1t9zFswVBaWhqOHDmC7Oxs/Pe//8WMGTPw6quvYuPGjbBYLNBoNNixY0erIEk6lD0oKKjVBIIRI0age/fu+Pjjj/HHP/4R69atw4oVK8Svv/7661i0aBEWL16MgQMHIiQkBDNnzoTR6Pz/4xaLBUlJSbI9eDaRkZFOP64NAzciB0grSqVLpVGyjBuXSono/BcTE4Px48djyZIlePLJJ2X73AoLC/HRRx9h6tSpYjD122+/ye7/22+/oU+fPuLnQUFBmDhxIiZOnIhHHnkEffr0wb59+zB06FCYzWYUFRXh0ksvdfg877zzTnz00UdITU2FWq3GddddJ35t8+bNuPHGG3H33XcDsAZdx44da7X829a5tzcQftiwYSgsLERAQAC6du3q8Pl2hlWlRA44VyVdKm3OuEmnJ3CplIguFP/4xz9gMBhw9dVXY9OmTcjLy8N3332H8ePHIyUlBS+++KJ47JYtW/DKK6/g6NGjePvtt/Hpp5/iiSeeAGCtCl2+fDn279+PkydP4t///jeCgoKQnp6OXr164a677sLUqVOxdu1anDp1Cr///jv+/ve/Y/369Z2e41133YWdO3fixRdfxB/+8AfZSKkePXogOzsbW7duxaFDh/Dwww+jsLCw1WPk5eVh1qxZOHLkCFatWoW33npLPPeWrrrqKowaNQqTJk3C999/j5ycHGzduhXPPvsstm/f7ui3uBUGbkQOkC+VNmfctAFqBOusCeyKWmbciOjC0LNnT2zfvh3du3fH5MmT0b17dzz00EO44oor8Ouvv8oqKP/v//4PO3bswNChQ/G3v/0Nr7/+Oq6++moA1iXE9957D2PGjMGgQYPw448/4quvvhL3ia1YsQJTp07F//3f/6F3796YOHEitm3bhrS0NLvO8aKLLsLevXtx1113yb723HPPYdiwYbj66qtx+eWXIzExsc1l36lTp6K+vh4jRozAI488gscee6zdIgOVSoX169fjsssuw/33349evXrh9ttvR05ODhISEuz91raLQ+aJHDDrk92orGtEeFAgFk0eIvva81/sR355PQI0Krxzd2arvRZERG3hkHly5GeAGTciOzU0mlHZtH8tvo0+bbblUpNZQI2Bs0uJiEh5DNyI7CRdJm2rwa60QKGCBQpEROQGDNyI7FTUTisQG3lLEAZuRESkPAZuRHYqlrQCaXuplE14iYjIvRi4EdlJlnFrc6mULUGIyHkXWK0gSTjy2jNwI7JTUVXHS6WR3ONGRE4IDLT+31FXV+flMyFvsU1qsKdSl5MTiOxkm5oQpNUgVNf6V4dNeInIGRqNBpGRkSgqKgIABAcH+2w7IbPZDMDavoLtQJRhsVhQXFyM4OBgBAR0HpYxcCOyQ6PZgrJaazCW0Ea2DQDC9QHQqFUwWwRm3IjIIYmJiQAgBm++ymKxoKSkBDk5OVCruWinFLVajS5dutgVsDNwI7JDaY0Rti0Ibe1vA6zdsiOCAlFWa2TGjYgcolKpkJSUhPj4eDQ2+u4ffjU1Nbjuuuuwfft22YB3co1Wq7U7EGbgRmSHc1WSitLwtgM3AIgK0aKs1oiaBhMazRYEavgXKRHZT6PR+PQSpNFoxOnTp6HVan1+ysP5iu8qRHaQV5S2/58VCxSIiMidGLgR2aG4k1YgNvImvFwuJSIiZTFwI7KDbKm0g4xblKwJLzNuRESkLAZuRHawLZXqAtUID2p/a2gkM25ERORGDNyIOmG2CCitsQZucaG6Dsu1Oa+UiIjciYEbUSfKao0wW6y9QNqamCAVxXmlRETkRgzciDpRJBkuH9dBYQIARHCPGxERuZHXA7clS5YgIyMDer0emZmZ2Lx5c4fHGwwGzJkzB+np6dDpdOjevTs++OADD50tXYg6Gy4vpQvQIEhr7cHEPW5ERKQ0rzbgXb16NWbOnIklS5ZgzJgxePfddzFhwgQcPHgQXbp0afM+t912G86dO4fly5ejR48eKCoqgslk8vCZ04WkWDJcvr1xV1JRwVrUG+tRXmeEIAg+O3OQiIj8j1cDt4ULF2LatGl44IEHAACLFy/G999/j6VLl2LBggWtjv/uu++wceNGnDx5EtHR0QCArl27evKU6QIkbQXS2VIpYN3ndraiHiazgFqjuc2B9ERERM7w2lKp0WjEjh07kJWVJbs9KysLW7dubfM+X375JYYPH45XXnkFKSkp6NWrF5566inU19e3+zwGgwFVVVWyDyJH2JZKNWoVoiVVo+2RtgQpr+VyKRERKcdrqYCSkhKYzWYkJCTIbk9ISEBhYWGb9zl58iR++eUX6PV6rFu3DiUlJZgxYwbKysra3ee2YMEC/PWvf1X8/OnCIAiCODUhLkwHtbrzZc+oEPnYq7Rot50eERFdYLxenNBy/09He4IsFgtUKhU++ugjjBgxAtdeey0WLlyIlStXtpt1mz17NiorK8WPvLw8xa+Bzl9VTcPiAfuWSYEWGTcWKBARkYK8lnGLjY2FRqNplV0rKipqlYWzSUpKQkpKCiIiIsTb+vbtC0EQcObMGfTs2bPVfXQ6HXQ6+95wiVqqqm9u6RERFNjBkc2iGLgREZGbeC3jptVqkZmZiezsbNnt2dnZGD16dJv3GTNmDM6ePYuamhrxtqNHj0KtViM1NdWt50sXpkqnAjf5UikREZFSvLpUOmvWLLz//vv44IMPcOjQITz55JPIzc3F9OnTAViXOadOnSoef+eddyImJgb33XcfDh48iE2bNuFPf/oT7r//fgQFBXnrMug8VtXQHHiF6+0L3LhUSkRE7uLVPgWTJ09GaWkp5s+fj4KCAgwYMADr169Heno6AKCgoAC5ubni8aGhocjOzsZjjz2G4cOHIyYmBrfddhteeOEFb10Cneeq6pt7BIbbmXEL1wdArVbBYhGYcSMiIkV5vcHUjBkzMGPGjDa/tnLlyla39enTp9XyKpG7SPe4hQfZ9+uiUqkQERSI8lojpycQEZGivF5VSuTLnFkqBZr3uVVLqlKJiIhcxcCNqAPyjJv9gZt0n5u0wIGIiMgVDNyIOlDVYN3jplGrENI0PN4e0pYgXC4lIiKlMHAj6oAt4xamD3RoWLy0JUg5CxSIiEghDNyI2iEIgphxC9M7VsfDeaVEROQODNyI2lFtMEEQBAD2N9+1aTmvlIiISAkM3Ija4WxhAsCxV0RE5B4M3IjaIWu+6/BSKfe4ERGR8hi4EbVD1sPNwYybLkADXaD116vGwMCNiIiUwcCNqB2ypVIHmu/a6AOt7UPqjWzAS0REymDgRtQOW0UpYP+4K6ngpr5v9Y2mTo4kIiKyDwM3ona4mnEL0VqDPUOjBSaOvSIiIgUwcCNqh3SPW0Sw80ulANBgYuBGRESuY+BG1A5bValKBYRqnV8qBYA6A5dLiYjIdQzciNphy7iF6QOhVts/7somWNcc7NUZzYqdFxERXbgYuBG1QRAEcY+boz3cbIIlS6X1jQzciIjIdQzciNpQZzTDbLGOu3K0h5tNkHSp1MilUiIich0DN6I2yAoTnAzcZHvcuFRKREQKYOBG1Ab5uCtnAzfucSMiImUxcCNqg3zclXN73IKke9wYuBERkQIYuBG1obLOtea7ABCs41IpEREpi4EbURukGbcwp5dKWZxARETKYuBG1AbpuCunixMCm5dYuVRKRERKYOBG1AZXB8wDLdqBsI8bEREpgIEbURukGbdQnXOBW6BGBU3TxAVm3IiISAkM3IjaYNvjFqILQIDGuV8TlUol7nPjHjciIlICAzeiFqzjrqyBlrPLpDZBTb3cWFVKRERKYOBG1EJDowWNZgsA5wsTbGwZt4ZGMwRBcPnciIjowsbAjagFWfNdJ1uB2NgCN0GwBoRERESuYOBG1EK1bGqCq4GbdOwV97kREZFrGLiR4gRBQFFVA4wm/8wwVdYrl3ELCmz+FeM+NyIicpXXA7clS5YgIyMDer0emZmZ2Lx5c7vH/vzzz1CpVK0+Dh8+7MEzps58u78Qs9fuw2s/HIHZ4n/7umQD5l0sTuCgeSIiUpJXA7fVq1dj5syZmDNnDnbt2oVLL70UEyZMQG5ubof3O3LkCAoKCsSPnj17euiMqTOCIOCnw0UAgBNFNfjfqTIvn5HjFN3jJplXWs8mvERE5CKvBm4LFy7EtGnT8MADD6Bv375YvHgx0tLSsHTp0g7vFx8fj8TERPFDo9F0eDx5TnG1AeW1RvHzb/cX+F01pbT5rqt73IICOa+UiIiU47XAzWg0YseOHcjKypLdnpWVha1bt3Z436FDhyIpKQlXXnklNmzY0OGxBoMBVVVVsg9ynyPnqmWf55fXY8+ZSi+djXOk465cbQciG3tlYMaNiIhc47XAraSkBGazGQkJCbLbExISUFhY2OZ9kpKSsGzZMqxZswZr165F7969ceWVV2LTpk3tPs+CBQsQEREhfqSlpSl6HSR3uKC61W3r9/lX1k2acQvTu7bHLUSyx41LpURE5CrX3pUUoFKpZJ8LgtDqNpvevXujd+/e4uejRo1CXl4eXnvtNVx22WVt3mf27NmYNWuW+HlVVRWDNzcRBAGHC62BmzZAjZhQLQoqGnCiqAZHz9Wgd2KYl8/QPrY9bkFaDQKdHHdlI824cV4pERG5ymsZt9jYWGg0mlbZtaKiolZZuI6MHDkSx44da/frOp0O4eHhsg9yj6JqAyrqrPvbesSH4rqByeLXvtlX4K3TcpitHYir+9sA+R63Wu5xIyIiF3ktcNNqtcjMzER2drbs9uzsbIwePdrux9m1axeSkpKUPj1ygi3bBgB9EsMxIiMasaE6AMCB/EqcLq311qnZzWAyw9A04cDVilLAOqTehkulRETkKq8ulc6aNQtTpkzB8OHDMWrUKCxbtgy5ubmYPn06AOsyZ35+Pv71r38BABYvXoyuXbuif//+MBqN+PDDD7FmzRqsWbPGm5dBTY4UNhd+9E4Mg0atwjUDEvHhb6cBAOv3FeKPl3f31unZRckebkDzyCuAS6VEROQ6rwZukydPRmlpKebPn4+CggIMGDAA69evR3p6OgCgoKBA1tPNaDTiqaeeQn5+PoKCgtC/f3988803uPbaa711CdREur9NF6hG15hgAMCYHrH4Ync+qhtM2HG6DIWVKUiM0HvzVDukZA83ANAFqKFSWWeVsgEvERG5yuvFCTNmzMCMGTPa/NrKlStlnz/99NN4+umnPXBW5KhzVQZU1lmDnh7xYQho2tSvDVAjq38i1uw4A0EAsg+dw5SR6d481Q4p2cMNsBbfBGkDUGcwMXAjIiKXeX3kFZ0fDkuWSfu0qB69vHcc1GprpfCJohqPnpej5HNKlfm7JripQKGexQlEROQiBm6kiCOSwoSWbT+CtQGIC7MWKRRWNvh0Tzclm+/a2FqC1BnNPn3tRETk+xi4kcta728LaXVMYrh1X1uj2YIyyUgsX6P0UinQXKBgtggwmi2KPCYREV2YGLiRywqrGsSAp2e8tZq0JVvgZjveVyldnACwspSIiJTDwI1cJh1z1Tep7ekI0krSwkofDtwUbgcCAEGSsVcsUCAiIlcwcCOXHZbtb2t7MoUscPODjJsuUA1dgKaTo+0jzbgxcCMiIlcwcCOXCIIgNt7VazXoEh3c5nHSwO2cT2fcrIGbUoUJAJdKiYhIOQzcyCUFlQ2obqrE7NXO/jYACNMFiNWVvppxazRbxMBKqf1tgHxeaR1bghARkQsYuJFLjp5rvw2IlEqlEgsUymqNMJp8r7qyukG6v03JjJtkjxvnlRIRkQsYuJFLSmqaW3ukRgV1eKxtuVQQgHM+mHVzR/NdoLmPG8ClUiIicg0DN3JJRV1z4BYVou3wWF8vUHBHDzeAxQlERKQcBm7kkoq65mAnKrjjYEfWy80HCxTc0cMNAEIkS6Uce0VERK5g4EYuqai3ZtwCNWrZJvy2JEgCN19cKnVHDzcA0Gubf82YcSMiIlcwcCOXlDdl3KJCAqFStV1RapMQroftkAIfz7gp2w6EDXiJiEgZDNzIaQ2NZjQ0BSKRwR3vbwMAbYAa0U374AqrfG/YvGyPm5vagdSzqpSIiFzAwI2cJt3fFmlnhioxwlp52mA0y5YmfYFsj5uCGTeNWgVdoPVXjX3ciIjIFQzcyGm2/W0AEGVHxg3w7WHztnYggRo1dAHK/mrYlku5VEpERK5g4EZOK6+VZNw6qSi1SZK0BCmorFf8nFxhywCGBwV0ul/PUbaWIOzjRkRErmDgRk6rrLe/h5uNr1aWmswW1BqaAjcF97fZ2Pa5GU0WmMy+NzWCiIj8AwM3clq5U3vcpL3cDIqfk7NqDO4Zd2UjrSxlgQIRETmLgRs5TVacYOcet6jgQHGjfmGV7yyVynq4KTjuyiaYY6+IiEgBDNzIadJxV/b2PVOpVIgPs2bdiquNPrNsWOmmcVc20nmltQzciIjISU4HbhUVFXj//fcxe/ZslJWVAQB27tyJ/Px8xU6OfFt5U+AWoguA1oEqzCRx2LyAomrfWC5117grG2bciIhICU6tCe3duxdXXXUVIiIikJOTgwcffBDR0dFYt24dTp8+jX/9619Knyf5GEEQxKXSzmaUttRy2HxyZJCi5+YMafPdCAevxx6ywK2RvdyIiMg5TmXcZs2ahXvvvRfHjh2DXt/8JjxhwgRs2rRJsZMj31VjMMFssU4+sHd/m40vDpt3d8YtiGOviIhIAU4Fbr///jsefvjhVrenpKSgsLDQ5ZMi3ycvTHA+4+YrLUHcNWDeRppxqzUwcCMiIuc4Fbjp9XpUVVW1uv3IkSOIi4tz+aTI90kDN3unJtgkXIgZN8m80ga2AyEiIic5FbjdeOONmD9/PhobrW92KpUKubm5eOaZZ3DLLbcoeoLkm8qlFaUOZtz0gRpxedVXxl7Z9rhp1CpZdkwp0sfkUikRETnLqcDttddeQ3FxMeLj41FfX4+xY8eiR48eCAsLw4svvqj0OZIPqqh3PuMGAIkROgBATYNJ1vzWW2ztQMKDAhUfdwXIG/By0DwRETnLqc084eHh+OWXX/DTTz9h586dsFgsGDZsGK666iqlz498lLSHm71TE6QSw/U4XFANwLpc2iM+VLFzc5TFIojBozuWSQF5Hze2AyEiIme5tAt73LhxGDdunFLnQn5EOmDemYxby5ml3gzcqg0mCNYCWbcUJgDyPW513ONGREROsvtd6s0337T7QR9//HG7j12yZAleffVVFBQUoH///li8eDEuvfTSTu+3ZcsWjB07FgMGDMDu3bvtfj5Shm2Pm0qlcirYkQZuxV5uwivt4eaujJs2QI1AjRqNZgvqfGBpmIiI/JPd77iLFi2y6ziVSmV34LZ69WrMnDkTS5YswZgxY/Duu+9iwoQJOHjwILp06dLu/SorKzF16lRceeWVOHfunF3PRcqyLZVGBju3JywuTCf+u6TGy4Fbg3vHXdkEaTVorLdwyDwRETnN7sDt1KlTij/5woULMW3aNDzwwAMAgMWLF+P777/H0qVLsWDBgnbv9/DDD+POO++ERqPB559/3uFzGAwGGAzNgUFbbUzIMSazBdUN1qyRo1MTbKJDmpdXi70duLl5wLxNkFaDqvpGVpUSEZHTXB4yLwgCBNsGIQcYjUbs2LEDWVlZstuzsrKwdevWdu+3YsUKnDhxAnPnzrXreRYsWICIiAjxIy0tzeFzJTnpQHZHpybY6AM1CGsKkkqqjZ0c7V7SjFuEGzNuIU0FCg2NZqd+Z4iIiJwO3JYvX44BAwZAr9dDr9djwIABeP/99+2+f0lJCcxmMxISEmS3JyQktDt94dixY3jmmWfw0UcfISDAvszI7NmzUVlZKX7k5eXZfY7Utop656cmSMWGWpdLK+uNaDRbXD4vZ8n2uLl1qdT6MysI4HIpERE5xal1oeeeew6LFi3CY489hlGjRgEAfv31Vzz55JPIycnBCy+8YPdjtdwfJQhCm3umzGYz7rzzTvz1r39Fr1697H58nU4HnU7X+YFkN3krEOcybgAQG6bDqZJaCAJQVmuUFSx4UlWDdNyVGwO3QHkTXmlvNyIiIns49c6xdOlSvPfee7jjjjvE2yZOnIhBgwbhsccesytwi42NhUajaZVdKyoqapWFA4Dq6mps374du3btwqOPPgoAsFgsEAQBAQEB+OGHH9iaxEPkrUBcz7gB1gIFrwVusqpS9wVTITr2ciMiItc4tVRqNpsxfPjwVrdnZmbCZLKv1YFWq0VmZiays7Nlt2dnZ2P06NGtjg8PD8e+ffuwe/du8WP69Ono3bs3du/ejYsvvtiZSyEnSJdKHR13JRUTKilQ8GJLENuePZVKhVCdG4sTAjn2ioiIXOPUu9Tdd9+NpUuXYuHChbLbly1bhrvuusvux5k1axamTJmC4cOHY9SoUVi2bBlyc3Mxffp0ANb9afn5+fjXv/4FtVqNAQMGyO4fHx8v7q8jz5EulTrTfNcmTpJxK63xXoGCrTghPCjALeOubIJk80rZy42IiBxnd+A2a9Ys8d8qlQrvv/8+fvjhB4wcORIA8NtvvyEvLw9Tp061+8knT56M0tJSzJ8/HwUFBRgwYADWr1+P9PR0AEBBQQFyc3PtfjzyDOmAeSWKEwDv9XITBEFsbeKu5rs2IZI9bVwqJSIiZ9gduO3atUv2eWZmJgDgxIkTAIC4uDjExcXhwIEDDp3AjBkzMGPGjDa/tnLlyg7vO2/ePMybN8+h5yPXVdRZM1S6QLVs+c9R0l5u3grcao1mWCzW1hzuLEwAWmbcGLgREZHj7A7cNmzY4M7zID9iC9wigrQuLS1qA9SICA5EZV0jSry0VOqpwgSA80qJiMh1LjfgpQtLQ6MZDU1BhysVpTa2fW5V9Y0wmjzfy63SQz3cACBYknFrYMaNiIic4HSK4ffff8enn36K3NxcGI3ybMnatWtdPjHyTbZsG+Da/jabmFAtjhdZ/11SY0ByZJDLj+kITwyYt9EHsjiBiIhc41TG7eOPP8aYMWNw8OBBrFu3Do2NjTh48CB++uknREREKH2O5EPkhQnOV5TaxHq5slTefNfNS6WSjFt9o/cmRRARkf9yKnB76aWXsGjRInz99dfQarV44403cOjQIdx2223o0qWL0udIPkQWuCmwtOjtylJPZtyCZYEbl0qJiMhxTgVuJ06cwHXXXQfAOlKqtrYWKpUKTz75JJYtW6boCZJvqZQslUaFKJtxK/ZG4OahAfMAoA+QTk7gUikRETnOqcAtOjoa1dXVAICUlBTs378fAFBRUYG6ujrlzo58TnmdMuOubGIl0xO8slRaL1kqdXPGTa1WQRdo/ZVjxo2IiJzh1KaeSy+9FNnZ2Rg4cCBuu+02PPHEE/jpp5+QnZ2NK6+8UulzJB9SUa/sHrfoEC1UKkAQvLRU2mAbdwWEurkdCAAEBQbA0GhEvZF73IiIyHFOvVP94x//QENDAwDrWKrAwED88ssvuPnmm/Hcc88peoLkW6RVpUosLQZo1IgM1qK81uiVwM3WDiRUFwCN2n3jrmyCtGpU1AH1jVwqJSIixzkVuEVHR4v/VqvVePrpp/H0008rdlLku2xzSkP1AQjUKNMGMC5Mh/JaI2oaTGhoNMvaZriTIAhicYK7e7jZ2JrwGhotsFgEqD0QLBIR0fnDqXfeK664AsuXL0dlZaXS50M+TBAEMePmynD5lmK8NPqqvtEMs23clZv3t9kESeaVNpi4z42IiBzjVOA2cOBAPPvss0hMTMQtt9yCzz//vFUTXjr/VBtMYqCjZAVmXJi0JYjnfo5khQlu7uFmIxt7xekJRETkIKcCtzfffBP5+fn44osvEBYWhnvuuQeJiYl46KGHsHHjRqXPkXxEpcJTE2xkvdyqPZdxq/RgDzeboMDmX7l6Bm5EROQgpzcpqdVqZGVlYeXKlTh37hzeffdd/O9//8O4ceOUPD/yITWG5gxVmIKBjrea8Ep7uHlqj1uwdKmULUGIiMhBLq8PFRYW4uOPP8aHH36IvXv34qKLLlLivMgHSQO3UJ1yS4sx0l5utZ5cKvVc810bvZZLpURE5DynMm5VVVVYsWIFxo8fj7S0NCxduhQ33HADjh49im3btil9juQjqiUZqjAFe55FBWuhUlmrK4vP+6XS5sCNGTciInKUU+++CQkJiIqKwm233YaXXnqJWbYLRHWDdKlUucBNo1YhJkSLkhqDR5dKyyTZPWnWz52k80rrGLgREZGDHH73FQQBb7zxBu6++24EBwe745zIR8kDN2UzVLFh1sCt3mhGndEk2wvmLtJl2WgF5q7aQ8/iBCIicoHDS6WCIODRRx9Ffn6+O86HfJg0cFNyjxvQsrLUM/vcSpuye8G6AI81/Q0KZHECERE5z+HATa1Wo2fPnigtLXXH+ZAPqzG4Z48bAMRIArdiDyyXWiwCypvam8R4KNsGAEEsTiAiIhc4VZzwyiuv4E9/+hP279+v9PmQD6tpyrgFaFTQBSgz7somVlpZ6oHArbK+EZamZsKeWiYFWJxARESucSptcvfdd6Ourg6DBw+GVqtFUFCQ7OtlZWWKnBz5FttSaZg+UKwCVUpcqGenJ5TVeX5/GyDPuHGPGxEROcqpwG3x4sUKnwb5OkEQUN3Ux03p/W2A55vwyipKvZRxY1UpERE5yql34HvuuUfp8yAfV99oFpcWld7fBlhHaGnUKpgtgkcCt9Ia72TcAjUq8TqZcSMiIkc5vVHpxIkTePbZZ3HHHXegqKgIAPDdd9/hwIEDip0c+Q539XCzUalUYoFCSY0BgiAo/hxS3ujhBliv07Zcyj1uRETkKKcCt40bN2LgwIHYtm0b1q5di5qaGgDA3r17MXfuXEVPkHyDfGqCe6YM2AoUDI0W2Xgtd5AWQESH6Do4Unm2JrysKiUiIkc5Fbg988wzeOGFF5CdnQ2ttjlbccUVV+DXX39V7OTId7izh5tNXFhzAFXk5tFXtua7KpXKY3NKbXQB1sCtvtHs9swiERGdX5wK3Pbt24ebbrqp1e1xcXHs73aekmbA3LFUCgDxYXrx3+eqGtzyHDblTVWlUU176zzJlnGzWAQ0mhm4ERGR/ZwK3CIjI1FQUNDq9l27diElJcXlkyLf4+49bgCQEC7JuFW5L+NmMJnFnnTRHtzfZiOtLGWBAhEROcKpwO3OO+/En//8ZxQWFkKlUsFisWDLli146qmnMHXqVKXPkXxAjWyp1D1Liwnhnsm4ldc279fzZCsQG1kvNxYoEBGRA5wK3F588UV06dIFKSkpqKmpQb9+/XDZZZdh9OjRePbZZ5U+R/IBVQ3uG3dlExuqg62vrzv3uJXWeq8wAWDgRkREznMqcAsMDMRHH32EY8eO4ZNPPsGHH36Iw4cP49///jc0GseGdS9ZsgQZGRnQ6/XIzMzE5s2b2z32l19+wZgxYxATE4OgoCD06dMHixYtcuYSyEGeWCrVBqjFnmrnqhrctnHfW813bWRNeI3urZ4lIqLzi0vvwN26dUO3bt1gNpuxb98+lJeXIyoqyu77r169GjNnzsSSJUswZswYvPvuu5gwYQIOHjyILl26tDo+JCQEjz76KAYNGoSQkBD88ssvePjhhxESEoKHHnrIlUuhTtiKE1QqIETrnsANsC6XltYYUW80o9pgQrgbWo94q/muDeeVEhGRs5zKuM2cORPLly8HAJjNZowdOxbDhg1DWloafv75Z7sfZ+HChZg2bRoeeOAB9O3bF4sXL0ZaWhqWLl3a5vFDhw7FHXfcgf79+6Nr1664++67cfXVV3eYpTMYDKiqqpJ9kONsfdxCdAFQu7EKM16yz81dBQrSjJtXAjfZvFKLx5+fiIj8l1OB22effYbBgwcDAL766iucPHkShw8fxsyZMzFnzhy7HsNoNGLHjh3IysqS3Z6VlYWtW7fa9Ri7du3C1q1bMXbs2HaPWbBgASIiIsSPtLQ0ux6b5GwZN3ctk9okSHu5ualAwVtTE2y8vVTaaLawfxwRkZ9yKnArKSlBYmIiAGD9+vW47bbb0KtXL0ybNg379u2z+zHMZjMSEhJktyckJKCwsLDD+6ampkKn02H48OF45JFH8MADD7R77OzZs1FZWSl+5OXl2XV+1MxossDQaM0Muaui1EaacTtX7Z7AzdZ8Vx+okQVRnuLN4oQz5XV4Zs0+/OmzvbKCEyIi8g9OBW4JCQk4ePAgzGYzvvvuO1x11VUAgLq6OoeLE1Qq+bKbIAitbmtp8+bN2L59O9555x0sXrwYq1atavdYnU6H8PBw2Qc5xhPNd22kvdzOuWGpVBAElDVVlUaHaDv9WXOHYK139rgJgoB/bs1BRZ0R5bVG/O9kmceem4iIlOHUu/B9992H2267DUlJSVCpVBg/fjwAYNu2bejTp49djxEbGwuNRtMqu1ZUVNQqC9dSRkYGAGDgwIE4d+4c5s2bhzvuuMOJKyF7VHugFYhNXFNLEEFwTy+3aoMJpqZpBd7Y3wY0j7wCPDuv9JfjJThZXCt+fqa8zmPPTUREynAq4zZv3jy8//77eOihh7BlyxbodNYsiUajwTPPPGPXY2i1WmRmZiI7O1t2e3Z2NkaPHm33uQiCAIPBvXMtL3SemFNqE6BRI6apt1pRtUHxvVjSilJv7G8D5Bk3Ty2V1hhM+HT7GdltZ8rrPfLcRESkHKffhf/whz+0uu2ee+5x6DFmzZqFKVOmYPjw4Rg1ahSWLVuG3NxcTJ8+HYB1f1p+fj7+9a9/AQDefvttdOnSRczq/fLLL3jttdfw2GOPOXsZZAd5Dzf3D2RPCNehpMaABje0BPF2RSkg3+PW4KGM29qdZ1BrkBdCnK2st2trAhER+Q6nA7cff/wRixYtwqFDh6BSqdCnTx/MnDlT3O9mj8mTJ6O0tBTz589HQUEBBgwYgPXr1yM9PR0AUFBQgNzcXPF4i8WC2bNn49SpUwgICED37t3x8ssv4+GHH3b2MsgOnlwqBawFCgfOWtu2FFU1nHeBmz7Asxm3UyW12HS0GACgC1QjJTIIJ4trYWi0oLjaICsIISIi3+bUu/A//vEPPPnkk/jDH/6AJ554AgDw22+/4dprr8XChQvx6KOP2v1YM2bMwIwZM9r82sqVK2WfP/bYY8yueYG0OMHdS6UAEB8mL1DoER+m2GOXScZdxXhh3BUAqNUq6AM1aGg0u32Pm8Ui4MPfTsO24nzjkBTUGU3iXrczFfUM3IiI/IhT78ILFizAokWLZAHa448/jjFjxuDFF190KHAj3ycN3NwxyaAldw6bL/WBjBtgXS5taDS7PeO26VgxckqsQVpyZBCu7BOPXXkV4tfPlNdjWBf7p50QEZF3OVWcUFVVhWuuuabV7VlZWZxMcB6SFSd4YKlUHrgpW3hS1lScoFIBUcHuD0Lbow+0/uq5sx1Io9mCtTvzxc/vHpmOAI11qdSGlaVERP7FqcBt4sSJWLduXavbv/jiC9xwww0unxT5Fk9WlQJAbGhzfzWlM262PW7hQYEI0Dj146+I4KZ5r4ZGC8wW90wxKKxsEAsSBqdFoneidck5IVyPAI31+8vKUiIi/2L3u/Cbb74p/rtv37548cUX8fPPP2PUqFEArHvctmzZgv/7v/9T/izJq2zFCbpANbQB7g92AjRqxIVpUVRlQFF1g2KVj41mCyrrrdcS48VlUsA6tcGmodGMEDcExNJCjC7RweK/NWoVkiKCkFdWh6KqBhhNFo+8rkRE5Dq73y0WLVok+zwqKgoHDx7EwYMHxdsiIyPxwQcf4Nlnn1XuDMnrxDmlbh53JRUXpkdRlQGGRguq6k2IUGBZs7xOur/NO4UJNtJRW/VuCtxKaiSFGC161qVGWQM3QQDOVtSja2yI4s9PRETKs/vd4tSpU61uKykpgUqlQkxMjKInRb7DYhHE5TZP7G+zSQjX4UDT9qxz1Q2KBG6y4fJezrjJmvC6qbJU2mw4NlQeqKZGBQMoBQDkM3AjIvIbDq+PVFRU4JFHHkFsbCwSEhIQHx+P2NhYPProo6ioqHDDKZI31RhNYisJT/Rws0kIU76ytKzGNypKgdYZN3cokbU+aZ1xs2GBAhGR/3DonbisrAyjRo1Cfn4+7rrrLvTt2xeCIODQoUNYuXIlfvzxR2zduhVRUWwvcL6o8fDUBBtpZWmRQpWlslYgXhp3ZaP3YMZNpWodqMoDNxYoEBH5C4cCt/nz50Or1eLEiROtBsHPnz8fWVlZmD9/fqv9cOS/ZOOuPFBRapMQLmnCW61Qxk0auAV7eak00P2D5kub9rhFBGlbVdBGBAUiVB+AmgYTAzciIj/i0FLp559/jtdee61V0AYAiYmJeOWVV9psE0L+q8bQPO7Kk3vcYkJ1UKutlaRKZdzKfCjjJptX6oalUoPJLAbdsW1cq0qlErNuVfWNqJKMNSMiIt/lUOBWUFCA/v37t/v1AQMGoLCw0OWTIt8hHzDvucBNo1aJAYetJYirSpv2fAVq1B7NHrZF7+Y9btLChJYVpTYpkc0tQvKZdSMi8gsOBW6xsbHIyclp9+unTp1ihel5xtPNd6XimwoUDI3N/decJQiCmHGLljT49RZpVak7lko7qii14T43IiL/41Dgds0112DOnDkwGo2tvmYwGPDcc8+1OQqL/Fe1l4oTAGVHX9UZzTA0WgB4vxUI4P6Mm7SitL0KWlaWEhH5H4dSKH/9618xfPhw9OzZE4888gj69OkDADh48CCWLFkCg8GAf//73245UfIO6R63cA8ulQLyAoWi6gZxZJMziqo7D2Q8SZpxa/BSxi05MggqFSAIzLgREfkLh96JU1NT8euvv2LGjBmYPXu2uO9IpVJh/Pjx+Mc//oG0tDS3nCh5h6cHzEspmXE7XVor/tvafNa7gty+VNr8/WovcNMHahAXpkNRlQFnK+oVGy1GRETu4/A7cUZGBr799luUl5fj2LFjAIAePXogOjpa8ZMj77MFbhq1StY01hPiwyQtQVxswptb1rwU2DXG+4GbPkCScTO5IXCrta/ZcGpUMIqqDDCaLCiuNiBeEiwTEZHvcTqFEhUVhREjRih5LuSDaiTjrjydjYkJ1UGjVsFsEVBQ6dpSXk6JNXBTqYC0aO8HbtoAtXht7mjAa5tTGh4U2OEA+ZTIIOw8XQ4AyCuvY+BGROTjHB55RRcOQRBQ3dTfyxvtMzRqlbisWVDRgDqjqZN7tM1ktoib7xPC9bLCAG+y7XNz9rra02i2oLLO+rp1VojBylIiIv/CwI3aZTBZYDJb9zF6en+bTY/4UPHfJ4trOziyfWcrGmC2WK+ja4zvDFO37XNraKp2VUp5rbSHW9v722yk+/0YuBER+T4GbtQub7YCseke1xxoHS+qceoxciSFCV18YH+bjS3zV2c0K9Jg2KZYUpjQXvNdm/gwHQKbxmHlVzBwIyLydQzcqF3VkjFInm6+a9NdknE7Uexc4HZaVpjgQxm3psBNEAQYTMpl3aSjveI6ybip1SokR1qXS4uqGmBU8DyIiEh5DNyoXd4adyUVE6JFRLA123eiuAYWi+OZqdMlzRm3tOigDo70LGmVrpLzSktqHOtZZ+uXJwhARV3r5tpEROQ7GLhRu2wVpQAQ7qWlUpVKJe5zMzRaHF7OM5ktyGsqTIgP1yNY690ZpVLSXm5KTk+QNd8N6zjjBgBRwc3BXRkDNyIin8bAjdrlzea7Uj3impdLjzu4XFpQ2SAWWPhC/zYpdzXhLZEOmLcj4xYZ3ByUl9e6NhOWiIjci4EbtcsX9rgBLfa5OVigcLq0eX9buq8Fbm5aKrVNTQjRBdjV+iRKEtxxqZSIyLcxcKN2SZdKvbXHDQC6RAcjQGNt/utogYK0ojTdhwoTAPm8UqWa8JotAsptPdw6qSi1iZJm3OqYcSMi8mUM3KhdsuIEnXf2uAFAoEYtVoMWVRlQ1WB/cCEdddXFByYmSEmzYUrtcSuvM4qtRdqbUdpSpGSPWzkzbkREPo2BG7VLulQaovPutIHucY4vl5otAnKblkrjwnQI8eJyb1ukS6VKZdxKHdzfBgCRQc1BOZdKiYh8GwM3apdtqTRYF4AAjXd/VKT73OxtxFtY1YBGs7Uvma8tkwKQVbgqlXGTtgKxN+MWoFGLS+FcKiUi8m0M3KhdlfXWN/FwL+5vs5FWlp6wc/SVtH+brxUmAECQtvnXT7GMm2zclX0ZN6C5QKGirtGpXnlEROQZXg/clixZgoyMDOj1emRmZmLz5s3tHrt27VqMHz8ecXFxCA8Px6hRo/D999978GwvHA2NZhiaZmiGB3lvf5tNRHCgmEHKKamFydx5h/8cH64oBdyzx62k2vGMG9Dcy00QBIf2EBIRkWd5NXBbvXo1Zs6ciTlz5mDXrl249NJLMWHCBOTm5rZ5/KZNmzB+/HisX78eO3bswBVXXIEbbrgBu3bt8vCZn/+kb97ear7bkq0Rb6PZIis6aM/pMt+tKAXkS6VK9XErrbV/TqkUK0uJiPyDVwO3hQsXYtq0aXjggQfQt29fLF68GGlpaVi6dGmbxy9evBhPP/00LrroIvTs2RMvvfQSevbsia+++srDZ37+q6pvriiN8IGMG9AcuAGdL5daLALymoK7mFCtV/vQtUcf2Pzrp1QfN1txgl6rcWhKBCtLiYj8g9cCN6PRiB07diArK0t2e1ZWFrZu3WrXY1gsFlRXVyM6OrrdYwwGA6qqqmQf1DlZxi3IN4IeaWVpZwUK56obxKVeX8y2AdaqUpW1PZ0ie9wsFkEcMB9rZ0WpjXTsFStLiYh8l9cCt5KSEpjNZiQkJMhuT0hIQGFhoV2P8frrr6O2tha33XZbu8csWLAAERER4kdaWppL532hqKr3vaXSlKgg6JqyVJ014s0p8e39bYB1DquuaZ9bnQIZt4r6RpibCgtiHNjfBgBRIRx7RUTkD7xenKCypRyaCILQ6ra2rFq1CvPmzcPq1asRHx/f7nGzZ89GZWWl+JGXl+fyOV8IqiTNd32hOAEANGoVMmKt2bPyWqOYXWrLaenEhGjfzLgBzb3cGhTIuJXVOleYAMgzblwqJSLyXV4L3GJjY6HRaFpl14qKilpl4VpavXo1pk2bhk8++QRXXXVVh8fqdDqEh4fLPqhzlZKMm6/scQPk+9w6Wi49JW0FEuubGTegOXBToqpUOlw+2sGlUtmgeQZuREQ+y2uBm1arRWZmJrKzs2W3Z2dnY/To0e3eb9WqVbj33nvxn//8B9ddd527T/OCJV8q9Y09bgDQIy5M/Pe3+wvEpUGpPXkVYlAXF6bzmaXetgQ1zSs1mix2tTjpiLT5blyYY4FbUKBGXIZmVSkRke/y6lLprFmz8P777+ODDz7AoUOH8OSTTyI3NxfTp08HYF3mnDp1qnj8qlWrMHXqVLz++usYOXIkCgsLUVhYiMrKSm9dwnlLWpwQ5kOBT9+kMCRHBgEAckvr8MMBeca2odGMD387LX4+cUiyR8/PUdKxVw0m1wI36dJxdIhjS6UqlUqsLK2QzDslIiLf4tXAbfLkyVi8eDHmz5+PIUOGYNOmTVi/fj3S09MBAAUFBbKebu+++y5MJhMeeeQRJCUliR9PPPGEty7hvGVrBxKk1UAb4PWtkKIAjRr3jukqVmN+sfssCisbxK9/ufusGMD0TQrHqG4x3jhNu9kyboDrlaXy5ruOZdyA5l5uhkaLYg2BiYhIWV5fA5sxYwZmzJjR5tdWrlwp+/znn392/wkRgOalUl8pTJDqHheKq/omIPvgOTSaLfjnrzl4+ureyCurxw8HzwEAAjQqTBmVblehizcFKxi4lTXtTQvUqJ3qWydvCdLoUB84IiLyDN9JpZDPMJosYkNYX90fNmloilg5ebSwGhuOFOGfv+aIS3w3DE5GQrjem6doF2mA5eqoqYqmvWlRIYFOBazeasJrsQj4PacM/9yag6Pnqj32vERE/oh/UlMrvth8tyV9oAb3jO6K1384AgD4z7Zc2LZlJUcG4Zr+iV48O/tJA7dqSQsWRxlNFjFjFxHk+DIpIB97VeGBAgWDyYwtx0vww4FzKG5a5t2TV4HXbxvs85lSIiJv8c13ZfKqSh9svtuWfsnhuKRnLH45VgLpXvp7RqcjQOMfyWRp4Ue1Cxm3ivrmDJmz7VuiJC1EOuqR5yqT2YL1+wvx34PnUGuQB6uV9Y04U16PtGjfbeFCRORN/vHuRh4lawXig3vcpCZflIYISaZobO849IgP6+AeviVM0mqlxuB8xq1SkiGTZs4c4amxVz8dLsIXu/JlQVuMpJjiSCGXS4mI2sPAjVqRTU3woR5ubQnWBmDaJRnQBaqRFh2MW4alevuUHBIuy7g5H7hVKNAwOUrWhNd9S6XSwGxERjTm3tAfj43r2fx17nMjImqXb78rk1dU+ejUhPb0T47A23cOA9B6hJqvC9VL97i5sFQqCbQinMy4heutRQ2CILi1OOF0mXWOrD5Qg4cu6yY+Z7AuAHUGE44UVts9+o6I6ELDjBu1Ii9O8P3ADbAGbP74Rh+mV6Y4QbovMdLJ4gS1WiUG6u4qTqisb0R50/65LjHB4mumUqnQO8E6zqzWYMKZ8nq3PD8Rkb9j4Eat2JrvAv6RcfNngRo19E293Kpd2OMm3ZMW6WTGDQCiQ6z3rapvdHkEV1tOlzbPkM2ICZF9rXdi8xxh7nMjImobAzdqxV+qSs8Xtn2E0iVqR8kybi4EbtJebhUunE97ckrrxH+nx8grR/skNheVcJ8bEVHbGLhRK7alUn2gb427Ol/ZernVG81OZ7nKJVMTpPNPHeXuytLTJc0Zt/QWGbfUqCAEN30vbPvciIhIju/K1ErzuCvWrniCtJebsy1BKpuWtyODnZuaYBPp5spSaWFCQrhO9jXucyMi6hwDN5KRduDnMqlnuFqgYDRZUNcU8Lm6J1GacStXuAlve4UJUt7c57bjdBne+O8xjt0iIp/GwI1kqv2wotTfhbnYy02+v825ilKbqBD3jb3qqDDBpneCd/a5NTSasfyXU9h7pgIrt+ZwmZaIfBYDN5KRNd9l4OYR8nmljgdLlQqMu7KJcuOg+Y4KE2zSor2zz21PXgUMjdb9hecqG1BQ2eCR5yUichQDN5KRjbvy8akJ54twF5dKpZkxVypKW95f6T1uHRUm2KhUKvSK9/w+t22nymSf78qt8MjzEhE5ioEbyfhj811/52pxgixwc/E10wVoENTUV07pPW4dFSZI9Za2BfHAPrcagwn78ytlt+3OK3f78xIROYOBG8mwh5vnSYsTqpxYKpXNKXUx4wYA0SHapsc1KrZUaU9hgk0faYGCB/a57coth9kiv86TxbVuaYdCROQqBm5+pKzWiB2ny9DQaHbbc8inJnCp1BNcrSpVsjhB+hgms+B0e5KW7ClMsPH0PrdtJ5uXSfunRIj/3p1X4dbnJSJyBgM3PyAIAjYcLsJf1u7Dkg0n8NG2XLc9lyzjxqVSj3C1qlSaGVJiRFlUsPKVpfYUJth4cp9bZV0jDhdWAQDiw3W4aWiK+LU9eZXt3Y2IyGsYuPm4ijojFv/3GD787TQam7rqbztZilqFMiEtyfa4canUI7QBaugCrb+KzlWVWu8ToFEhROv81AQbaWVpmUL73OwpTJDy1D6333PKYEvoXdQ1Gl1jgsXl5oMFlW7NbhMROYOBmw/bcboMz39xoNXGabNFwPbT7tk8basq1QWqoXdhdBI5xtYSxJWq0ogg16Ym2MgrSxUK3OwsTLCR7nM7XlyjyDm05X85zcukF3eLgUqlwtC0SADWpeIDZ5l1IyLfwsDNR20+VowlG06ImbWIoED8ITNV/PqvJ0rd8ry2Pm7MtnmWbbm0zmiCxWL/nq5Gs0X8GYlSYH9by8dRYqnUkcIEm+RIPTRq63Fnyus6Odo5JTUGnCiyBoUpUUFIiQwCAAxJixKPYVsQIvI1DNx81Hf7C8V/D0uPwl9v7I9rBiQiKVIPADh2rholNQZFn9Nkbh6dxP1tnmUrUBAEoMZof9bNHXsSlW7C60hhgk2ARo3kpkCqsNIgbhNQ0v8kvdtGZESL/+6TFCZmm/eeqWxVcUpE5E0M3HxQSY0BhU2d27vHh2LG5d0Rprcug43sFiMe99tJZbNusqkJbL7rUc4WKEgzYkpl3CJDlG3C60hhglRqlDVwEwQBBRXKTzJoL3AL1KgxoKm6tNZgwvEi9y3VEhE5ioGbD9on2dM2KDVCtrQkDdx+PVGqaKuEKlaUeo2sl1u9/cGSkuOuxHPRBSBQY/2voazW9ayuo4UJNralSwA4U6HscunZinrkNe27y4gNQXyYXvb1IU373ABrnzciIl/BwM0H7T/THLgNlPSVAoDYUB16NVXcFVY24HSpcm9obL7rPdIMpyO905Qcd2WjUqkQHWrN3pXWuN6E19HCBJvUqObsnNItQX7PaTvbZiP9g2l3XgWHzhORz2Dg5mMazRYcauorFaYPQJfo1ktLsqybgsul0lYgSmVvyD7ypVJHMm7uec1iQ60BltFkQbULrWecKUywSYlqzrjlKxy4HSyoEv89vGvrwC1EF4DeidZecsXVBuRXeGZmKhFRZxi4+ZjjRTUwNFo3Yg9IiWjzje6irlFixd22k6WKbZ6WTk0I59QEj7K1AwEc2+NW7oaMGwDEhjbvlyutcb5AQVoRmt7GHyEdiQoOFCco5ClYWWoyW3C6xPp48eE6ccRXS0Ml1aV7z7AtCBH5BgZuPmZfB8ukNsHaAAxu2oNT3WDCwbNVbR7nKDbf9R75vFLnqkqVGHdlY8u4AXCpellaVCDNoNlDpVKJBQqVdY2Kjd/KLasTq1S7x4W2e1z/lOZecqck+/SIiLyJgZuPsRUmqFTyuYktje4uXS4tUeS5q9y07Eadky6V1jgSuDW169ColZmaYBMTIs24uRC4VTUHbkkR+g6ObJu0QEGp5VJplWhHgVtiuF6caMHAjYh8BQM3H1JWa8TZpr00GbEhsuWzlgamRCCk6es7T1coMppHlnFj4OZR8kHz9u9xq2gKtiODlZmaYBMb1pxxK3ZhqbSwsjnYSoxwLOMGNLcEAZRrxHuiuDkI6yhwU6lUYhVsea1R9vtBROQtXg/clixZgoyMDOj1emRmZmLz5s3tHltQUIA777wTvXv3hlqtxsyZMz13oh4gbQMyoINsG2BtUHpRUzVco9mCnQq0LLAtuwVq1NAFeP1H44KiC1CLLTjs3eNmMlvE7JzSGdLYkObAzaWMW1M/wlB9QId/iLRHGrgpVSBwommEli5Q3enybVdJ3znbvjgiIm/y6rvz6tWrMXPmTMyZMwe7du3CpZdeigkTJiA3N7fN4w0GA+Li4jBnzhwMHjzYw2frfvsdCNwAYHh68+ZpJZqE2ooTwoMCFM3eUOdUKpWYdbM34+au/W2A9WfAFkg6u8et3mhGZVPxRKITy6QAkBLZHDjZ+q65oqzWKFa5dosNFYt82iPtO3eqlMulROR9Xg3cFi5ciGnTpuGBBx5A3759sXjxYqSlpWHp0qVtHt+1a1e88cYbmDp1KiIiOg9s/InJbBFbFIToAuwaDZQRGwJbfHWy2LU3FZNk5iX3t3mHbZ9bjcFkV9+wCjfuSVSil1uhdH9buHOBW5BWg5im88ivqHe5n9oJycD67vGd/451lfwenuY+NyLyAV4L3IxGI3bs2IGsrCzZ7VlZWdi6datiz2MwGFBVVSX78EUnimvRYLTuU+ufHA51J5kAwNrQ1DbP8Ux5PYwm5+c5VsvGXTFw8wbZvFI7Kijd0XxXytVebgUu7m+zsTXiNTRaUOLCfjsA4lB5AOgRF9bp8QnhOuibij5yFGx2TUTkLK8FbiUlJTCbzUhISJDdnpCQgMLCwnbu5bgFCxYgIiJC/EhLS1PssZUk3d82MNX+bGJGrDUjIAgCcsuczwiwMMH75AUKnQdK0irgyCBll0oB13u52ebtAs5VlNooWaAg3VLQLa7zjJtKpRL7z1XUGcWlX3cQBAFvbziOh/61HQuzj+L3nDKxbQkRkY3Xd6C33EslCIKi+6tmz56NyspK8SMvL0+xx1aSdH9b/2THAzfAteVSNt/1PkcDt/K65mDKnRk3wLl9bgWKBW7KjL4ymizIbdonlxSpF6uyOyNdLs1x4z63A2ersPN0OcwWAQfyK/HOzyfw1Kd7sPr3XFkQTEQXNq8FbrGxsdBoNK2ya0VFRa2ycK7Q6XQIDw+XffiaijqjuPE6PSbEof1K3WKb2xm40muKzXe9T9bLzdB5Zsdd465sXO3lZlsq1ahVsiDQUfKMm/OB2+nSWnHKSEdtQFpKl1aWKlAg0Z4Nh4ta3VbTYMIPB87huS/2s5ccEQHwYuCm1WqRmZmJ7Oxs2e3Z2dkYPXq0l87KOw5IJh8MTHUssEyO1IvVf65kA2QD5rlU6hWOTk9w+x43F3q5mS0CiqqswV5ihN6uPZvtiQ/TidWf+RXOB07SwoQe8fYHbtKsdo6bgqfSGgP2nKkAYK0QfnJ8L4zIiBav22IR2gzsPOV4UQ2zfkQ+wqtrYrNmzcKUKVMwfPhwjBo1CsuWLUNubi6mT58OwLrMmZ+fj3/961/ifXbv3g0AqKmpQXFxMXbv3g2tVot+/fp54xIUcaSwWvx3vyTHqmUDNGqkxwTjeFENiqoMqDGYnOqXVVYrWXZj4OYV8kHznQdutmBbo1Y59Zp3xpVebiU1BjG75WwrEJsAjRrJkUHIK6tDYaUBjWaL+MeKI+ydmNBSXJgOQVoN6o1mty2VbjxaDFvB7NjecRiQEoEBKRGoamjE7LX70GA0Y8fpctw1sgt0AcpNyLDH2p1n8M3eAqjVKjw2rgcGpUZ69PmJSM6re9wmT56MxYsXY/78+RgyZAg2bdqE9evXIz09HYC14W7Lnm5Dhw7F0KFDsWPHDvznP//B0KFDce2113rj9BVzrMgauGnUKtlf9/aS3ueUk/vczklaNyS4+EZLzpFm3OwZe1XRtMctPEjZqQk2rvRyU2p/m41tuVQQBNn8U3sJgiBOTAjSahw6J+sEBetyaWVdo/h9V0qj2YJNR4sBAGq1Cpf1jBW/Fq4PFPs1NjSasTu3QtHn7sxXe87im70FAKxZv6U/n8DJYtd7RhKR87xenDBjxgzk5OTAYDBgx44duOyyy8SvrVy5Ej///LPseEEQWn3k5OR49qQVVFFnFJeUMmJDoHViYkHXWNebhJ5tejMM0QUgzA3ZG+qc9Pve2Xglk9kiZuWi3LBMCrjWy0026irc+VYgNq5WlhbXGMQq3O5xoQ4HuumyAgVl97ntOF0uvpaZ6VGtmimPks0lLlX0uTvy3f5CfL4rX3ab0WTBGz8ek/2h5wlnK+rx6veHsTD7KD7flY89eRUcQUYXLL5De9kxyfJNr4TO+0q1pZuLGbeGRrOYRUiK0HNqgpfIl0o7flOS7oFzZ8Pk2FAdzlU2iL3c7C1cUTrjJp2g4EyBgmyZ1IH9bTbSrPbp0loMSYt0+DHaI927dkXv+FZf750QhugQLcpqjdifX4XK+ka3N8necLgIn25vrsC/eVgq9p+txNHCatQ0mLDwh6P4y7V9EeGmPxqkTGYL3tl4AvlNr/sBSQV+fLgOt1/UBYMVfD2IfJ3XM24XOun+NmcDt7gwHYKbsjWnSmoc7i4vfZN1dT8SOU8fqBY3o3e2VCpdrotQeNyVlLO93AoV/pmSZdycmFkqHSzfw4H9bTbSytIcBWeW5pbWiUFlSlQQeiW0PjeVSoWR3axZN0EQ8L9TZYo9f1u2HC/Bh7+dFj+/cWgKrhuUhMfG9RBfh5IaAxb/eBQNjWa3ngsA/HDwnBi0tVRUZcDSn094PANI5E0M3Lzs2Dlr4KZS2TeCpy0qVfPeuOoGE0prHduDI+1wn+RCh3tyjXVeqTWD0VlxQoWs+a57M2429u5zEwQBZ5sCt6gQLfSBrm+mjwwOFP84cWap1DYxQaWyr/FuS3GhzX8cnS6tdXn0ls2GI/JsW3vZbuly6dYTJYo8d1uKqhqwcmuO+PmEgUm4YVASACBYG4CZV/VCdFObmNzSOiz/5ZTbzgUAiqsN+HL3WQDW1+7xK3ti+uXdcXX/RKQ1NUZuNFvwwS+nYLEo85oQ+ToGbl5UazAhvyl7kBoVjGCt8yvXsuVSB1sWKNXhnlwnDprvZF5ppZtbgdg408ut2mBCXdOILKV+nlQqlZjtqaxrtGskmE1Do1kM9lKjgp0KJFUqFbraChTqG2WtWJxVZzTht6Y9a/pAjSw4ayk5MkjcZ5dbWoezTmQd7bHpWIkYAI3tHYdbhqXIgsmoEGurElsQu/N0udv2mgmCgI+2nRanR4zrk4DBaZG4qGs0brsoDc9M6IP4cOsfFseLapB96JxbzoPI1zBw86LjRTViCwBnl0ltXKksVXo/EjkvvClws1gE1BnbX4YqlbVvceNSqRO93JReJrWRLpfmOdAI91RJrfh71t2JbJtNusITFLYcLxXnC4/qHtNpQCnPuilfpGAyW/DLMWt1q0atwqShKW1mAJMjg3CppPJVut1DSTtOl2PfGet+tojgQNw0NEX2dX2gBveNyYDtFNftzHdrr7kz5XVYu/OM266XyF4M3Lzo6Dnp/jbH991IuVJZqlSHe3Kdvb3cpHt+kiLdF2w708vNXX8IdIlu3mcmLerpjHScXI945/9A6iqdoKBAZal0yXNcn9ZFCS1d3C1aDKR+O1mq2HKtza68CvFnblh6VIeFKH0TmxuFH3ZDIFNvNOM//2tuBXXXxV0QpG0d2PZKCMNVfa2TdhrNFnywRfkl08r6Rvzr1xzM+/IAvtlbgFe/P4wfDhQq/v0nshcDNy+Svvn0dDHjFhEUiJimjeQ5Jc2jfTqjZId7cp2sl1sHY6/ympb+9FqNbDlTac70clO6FYhN36TmYOGgZNpIZ/Y2ZW1UKmBAivMj76QZN1fHT1XUGZHbFPylRQcjObLz71O4PhADU6wNustrjYoHTLZecgAwtldch8f2TAgV/684VGD/a2Gvdbvyxe0Ag1IjMaxLVLvH3jQsBfHh1j8QThTV4IeDyiyZGk0WrN9XgL+s3YeNR5obJAsCsPr3PHy4Ldfu/2eJlMTATcJiEVBY2YDtOWX4eu9Z2V/qSjOYzOJ//gkRekXK+zOa5pYaTRa798AUVyvX4Z5cFyoJ3Crr28641RlNKG9aKk2NCnJr+xZnerm5K+MWG6prfoMurrGrorGkxiD+LnSLC5VlNB1/fq04mN7VAoX9+c3BzuA0+6elyHq6KbhcWlTVIAbD8eE69Ens+A9JfaBG3Fd7rrJB/HlUQn5FPX46bA2+AjVq3DWyS4c/47oADaZd0rV5yXTXGZf3AJ6rasDzX+zHmh1nxJ8zfaAGw7tGi8f8fLgIb/10zCOVtURSF3zgZrEI+G5/Af729UHM+Ggn5qzbh6U/n8C6nflYlH0U29zU8PJkca2Y0u/lRF+ptshmKtq5XCqtKE1mRanX2dPLTdrHLDUquM1jlGRbPrf1cuuMbZ+RLlCteOFEv2RrxsxiEezaa2TbIwVAzFY5S1qgUN1gko2Jc9Te/ArJeUXafb8haZHQNy0Z7jhdLu6Rc9WmY83Ltpf1jLPrjwFpBvRQoXJZt5+PFInZrYlDku3avtEjPgzj+1mXTE1mAStcWDKtNZjwxo/HUFxtzTCrVNZCjZduHog/Xt4d0y7JENv27DtTiZe/Paz4NA2ijlzwgdvnu/Px6fYzyCmpFauXpJb/csotSwFKNN5tKcOJylJ3bSQn58iXStsOkqTtMKQb9t3FkV5uRpNFXFJNilA+G9hPEiwcsGO5dK8kcBuswIzNDElxw5Fzzi1VmswW8dxDdAGyivDOaAPUyOzSPAJLif+bWhYljJEUHnSktyQrd7hAmWVbo8kiZhIDNWpc3rvjJVupm4amiuP6ThbXOrVkajJbrH3hmv5fTIrUY+4N/TF1VFdxVWR0j1jMyuol7rnLK3N/WxQiqQs6cNuVWy7O4QOsSwTD0qMwcUgyRmRYU+Jmi4B//HTcoSo2exyVZAtc3d9mkx4TLC4XnLSzsvQsK0p9SrgkcGuvOEGacUvzSOBmfy+3c1UNYrbEHT9PfZPCxJ/xgwUdb2UwmixiYBMRHIi0aNe/V30SndtnJ3WiuBYNTRXDA1LCHd5XOrRLpPjvXbnlTp2D1J4zzUUJQ7t0XJQg1T0uFAEa67kfVijjtuN0OeqbvjcXZUQ71CJJG6DG/WOal0w/3+V4lemq3/PEn5kwvbVvXVp066x2n8RwzLmurzie7ODZKlabksdcsIHbucoGvC/5K+nW4WlYcPMgPHJFD9w4JAUPXNpNHKPS0GjGov8edXjQdntMZgtONA1qjgrRyjIartAHasRNzmfK62Ewdb73QrqRPCGcgZu3heocWyqVjoJyF0d6uRVWuTeDG6wNEDPLBRUd7606UlgtZtEHpkQokv3rER8qzhM+WFDl1D63vWcqxH87skxq0y85XCwY2Z1X4XIV5cYjzUUJl/WyL9sGWAOlHk3bPEprjOLSois2H5Oci52ZP6ke8WG4UlJl6siS6U+Hz+HnpvFjGrUKj1zRo8Nl2qSIINwyrLlFybpd+V6pNK2sb1TsvYn8wwUbuL23+aT4V+/wrtG4un+C7OsatQoPj+0mdlmvrGvEouyjDjX+bE9uWZ24N6VnvOMDrztie1MTBKHTrJsgCOJG8miFOtyTa8KDOs64CYIgLpXGhGrbbJGgNEd6uXmiJ2D/5Oa9agc7WCrcIwmQBimwTApYl+9sWxsq6xpl12svW9GTs1WuugAN+jft9atuMOFkif2tUVoqrjaIy7ZxYTrZUrQ9pPvcXM26natqELNWCRF6MSh01E1DU2SNeX+UzIJtz4GzlfjPtubZrPeM7mrXSsjIbjHi8uyxc9Ud/jwqQRAEHDxbha/3nsU/fjqGpz7dg1mrd+PPn+3FF7u9EziS512wgZttU35SpB73jenaZvCkC9Dg8St7ir+YhZUNeG/TSZef++g5yf62Tqq3HNXXgT1AVfUmcVmCy6S+IShQI258bitwK64xwNBoDfrTPFCYADjWy03WCsRNxS62AgWg/eVKQRDEzJZGrRIDHaWf3559dlJltUYxY5oRG+J0letQSXuMXbkVTj0G0CLD1cu+ogQp6dKxq/vtNjtRINEWfaAG947OED9fs+MMijqYZbo/vxJLNpwQg55rBiRiTA/7sn1qtQqThjRn3T53Y9ZNEAQs+fkEXv/hCNbtzMeu3ApZxvnL3WfxOYO3C8IFG7gB1l/wR6/o2WGmKUwfiCev6oXwpo2p+/MrcbzItb0Mx865Pli+PY70uiqokjZxZUWpL1CpVOLPWnG1AaYWBTOyilIF9mzZw5FebrYMlEoFxIe5p5lzt9gQ6AI7Xq4sqGwQCyl6JYQpmk3u52Q/OaDFMqkLWcBBaRHiXq5deRUdHtses0XAL8etwZJarcKY7o4vTXaNCRZfi8MF1U4HDSazBVsl5zK6R/vjv+zROzEMVzQ1NW40W7D8l1OyMXE2G44UYfF/m1t6DE6LxC3DUh16rou6RolFQieLa2UFMUr676Ei7Dwt39OoD9TIZu9+vafAa0u25DkXdOA27dIMu/bhxIXpZL/MXzQNPXaGIAhiRWmILgDJCme6IoICxf9EcstqO1zaLWBFqU/q2bRE1NBoxokWy92ebgUC2N/LraHRLPbPigvTi8Ge0gI0avROsAZPVfWNsu+JzV7ZMqlrbUBaSo0KEoPrI+eqWgXXHVGqPUm4PlCcAnGussGpUU8Hz1aJwczg1AhEONG6JUC6dFzv3NIxAOzLr0RlvfVchqRF2l0g0ZE/ZKaKTcmPF9Xgz2v24tPteagxmGCxCPjk9zx8+Otp8ed5WHoUHh7bzeFiEZVKhRuHunevW15ZHT7d3ryUe/uILnjhpgH4x51DMee6frhjRBfxa9/sZfB2vrtgA7esfokdduNuaWS3aHGj6sGzVTjuwMgdqRPFNahtCqaU3t9mY9sDJAgdL19wuLxvGigJNPa1aALt6VYgNtJebu39MXCooAoms/XNom+Sspnklvp3slwpzXootb/NRqVSiVk3Q6OlVXDdnkazRex3FqYPkI3QcsaQpuIpwLnqUlu2DYDdS4NtkS6XOltZuemofJlUCfpADR66rJuYbW00W/Dd/kL8+bO9ePm7w/j+QKF47NX9EzHj8u7QBTiXmR2aFilO1sgrq8NOBap9bYwmC97bfFJslD6+XwLG90uQtdu5ql8C7hopD97W7sxX7BykijtYdibPuGADtxsGJzt0fIBGjesHJ4mff7XHuaybdDh0Zlf7A0dHyBpjdhC4FUi6iyex+a7PGJDSvAy2T5I5ApozboEaNeLDPBdsSyufS9opUFC6Z1pHZPvcWvyM1xlNYlY7PlyHhHDll2ylz2/v3q6j56rF/YkDUyNd/qNtmKQtyG4Hl0trDSbszrMGF2H6AJeyf9Ig3ZnN+eW1RuxrakgcFaJVdD9ij/gwLLhlIMb3SxBblzQ0mnGi6edDpVJhyqh03HZRmkuvh0qlwqShze8pn+86q9jM1DU7z4iziVOjgnBzO0u54/ok4O6R6eLn6/cVYMfpMkXOwcZktuCDrTmKPiY57oIN3JyZyTmqW4yYet+fX4mTxY5l3YwmC/53yvqLpA1QO5Txc0SvxFBxg/uB/A4Ct6aMW5BWI+sfRt4Vrg8U/3o/U14vbkA2mMziJuvkyCDxNfYEaVuEtgoUBEEQqzgDNWr0cXPGLSlCL/bQOipp+wFYM3C2N82BKa4HSG2RNwK2b0/TPlkW0PXl2/hwPZIim0eA2ZYa7fG/nDIxOzqyWwwCXFjWTosKRnDTKLAjhY7vc9tyokTs/XdJj1jF5yWH6wNx+4guWHDzIIztHSc+vl6rwcyreuLy3vGKPM/AlAh0b9rmcLaiHttOuR407c+vxH+bGgkHaFR4aGx3sR1NW67oEy/LvK36X56iI7k+330WuXZO5SH3uWADN2cEaNS4dqA061bQwdGt7cuvEKs4M9Oj3NZ+QxegQc8E638gJTWGNiuqGhrN4siepAi9W+ddkuMGtbFceraiubmtJ5dJAXkvt7amcuSW1Yn7pfokhTm95GQvlUolZr0azRbZ1oW9CgdIbYkK0YpB06mSWtQZO28TtFdsA6JyuO1Ge4amWf/4EwRgjwNZt62SZdLRThQlSKnVKnG2aa3BhLwy++eEWiwCNjctk6pUwCVO9G6zV3SIFlNHdcWLNw3A3SPTMe+G/hjg4hg0KZVKhZske92+2J3v0P7HlqoaGvGBtNdoZhpS7Cgiu6J3PPo3XVd5rRHr9zn2PtWeA2cr8a1Cj0WuYeDmoEt6xCKq6U1s75kKu0dLAcDW483LpNJh0e4gqy5tY/miqKo5a8JlUt8jXbqyBW7e2t8GAH2Smjv8bz1R2uoNaY8Hl0ltpMHPbydL8cOBQrz6/WFxZJI2QK141baUfC9px3u7iqoaxDFKPeJDxWH1rhoim6JQYdd9CirrxR6PadHB6OLiXjsAsqH0jswt/T2nTKxU7pcUbtdcUlfFh+lxRZ94xLmh6rlvUrj4B0VxtUHW4sRRq7blilnUASkRuLKvfZlBlUqFO0d0ETPy3+0vdKp4RaqqoRHLN3Osl69g4OagAI0a1w10fK9bjcEkvgFHBAeib6Jy+zjaIm1S2tbm7bOV0v1tLEzwNRmxIQhtWr4+eNZaueiNilKbiKBAcdRSVX1jqz1VeyWfuyvL1ZJ0n9kvx0qw+vc8WUuKQamRHS4rufz8nfxxJLVD0sbB1WH3Ut1iQ8Rq0EMFVXYti22R/AE5WqE/IKV/KG49XmLXcqkgCLJs0DUDkjo42n9I96B9teesU0uV+85UittqQnQBuH9MhkOrIokRelwzIBGAte3Lf/6X63SVqSAIWPFLjhhEuvu9izrHwM0Jl/RszrrtyavAaTvW/H8/VSZWBY3MiFF8H0dL6dHN+04OF1a32ijL4fK+TaVSiW/wDY1mHCuqkWfcPNTDTWpsr+Zqv41Hmxu3VtY3ipnn1KggxHggawJYg8m25kjGhuowvkWVnTv0TgwTf4876udmNFmQLRl4npmu3N5WlUolVpc2SobXt8diEcSMpFqtwkiFArekCD26xjbvy9x+uvOqyt15FeIfI93iQtxeiewpGbEhGNb0GlfWN+LHQ51PbpBqaDTj37/liJ9PvijNqVYt1w5MEt+nDuRXYqeTjZp/PFQkttcJ0wdgyqiuTj0OKYeBmxMCNWpcOzBR/PyjbbmdVhBtPdGcMnf3Mikg33dSZzDhdFmd7OvSfkvJbL7rk6T7b/adqRT3DkUEBSrS58pR/ZLCxeWlg2erxL2T+9zYeqMztw5PFccj3ZKZir9NGoCXbxmI20d0cfv3SB+oQfc4617SoqqGdpsTbzleImYrhqVHKf6Hkm2fGwBsz+l4Q/zBgipU1Fn3tg5MiVDse9Ryf9e6XfniH6ptEQQB3+xtzrZdNyj5vNpne/OwFLEy/Nv9BQ6NSvxyz1mxeXSfpDCns6L6QA3uGJEmfv7x/3Ltml8tlVdWh08k/eOmXdLNqSCSlMXAzUmX9IgT5+GdKKpB9qFz7R5bWNkg7ilJjQpqM0vgDvJeV/LKN9toIo1a5ZF9JeQ4aVuQ306Viv3/PL2/zUalUuEySdZtU9P+HelM0MFpnlkmtemfHIGXbhqI2df2xbUDk5AcGeTRAKCz8VsmswXf7pcEKAOVXw7skxQmzqz936kyHD3X/n476R+QY1ycTtBS/+Rwcb7nucoGbDtZ2u6xhwqqZVnawR5aXveUpIggsTdevdFs96b+3NI6/HCguYp0ysi2xzHaa1iXKPFntKzWKAuWO1PV0Ii3fjom6x838Dx7nfwVAzcnaQPUuG9MhvjGum5nPs6105jwt5PSogT3VU211K+dfm4Wi4DCpnOND9d5tK0E2S9UF4CMpuUn6bgeT+9vk7qkZ6z48/LLsWI0NJrFPwpCdAHoFuvcYHB/1Vkj4G2nysTsyYCUCHE5UUmBGjUmSvpSrthyqs3MSp3RhJ2nKwBYXyt3NCaWV1Webbeq8pt9zXuDz7dsm82NQ1LE3nE/HiqSzRVti8Ui4J+/5oh70a4blOxydlalUuGui9PF39n1+wo6DKhtGs0WvL3huPizmx4TglsyHRsFRu7DwM0FvRLCMK5PAgDrD/oHv5xqtWQqCM17SlQq6wQGT4kP14vZtGPnamAwmWE0WfD1vgKxhxMrSn1bW/MsvZVxA6w9sWwDzqsbTPhke57YVHZQaoTb9276mq4xIWK2a8fpMtlSpcUi4BtJpuWGwe7bfH9V3wSxh1hRlQFf7GpdNJV98JzY7+7ibtFuGUnWOzFMzPCU1Bhk0xlsjhfV4HBTFW5ChB7DFdzz50uiQ7S4UvL+8GUnhWw/HS5CTlMWMilSj2sHJHZ4vL0SI/S4vimwFwTg/V9Oddg6RhAE/PvX0zh+ztpiJyI4EI+O6+G2EXbkOL4SLrp5WIq47+d4UQ1+PCzfiHq8qEZW7m5rGuop/VOs/4maLQLW7MjHnHX78MWu5lEo6Qq0AiD3aasC0ZsZN6BFkcKR5iIFT+9v8wUatQrj+1nfnAUBWLbppLjnb0duudgCpFdimDhb1B3UahXuG9NVzPD8cLAQJ5oahAuCdS7nl5IZy84MlLeXNOv29d4CGE3yrJt0ue7aAUnndbB/7aAk6JsC+01Hi/F5OzNE9+RVYO2uM+Ln94zq6lJT5JZuGJQkbnOwWAQs/flEu+PJvj9wDluaAu5AjRqPjeuJ6BDPvm9Rxxi4uUgfqMF9YzLEz9fsOIPCygYcL6rG2p1n8MGW5t43SlVwOUJapv/joXNi012VChjbO0580yHf1DUmGGGSqRYqlUps/OotfZPCxP2dNiqVCgNSLsw2ARMHJ4uNY80WAW9vOI6j56rxtSTDcv0g97e6SIoIwo1DrEGTIFiXTOuMJryz8aRsLucNg5PdsmRr0y0uVKx0La81YtPRYpjMFhRWNmDr8RKxQjE6ROvRFQhvCNUFyJaxv9pzFkt+PiG2CDGZLVj9ey7e/PGYmLm+rFecuFdQKSqVClNGpuOiDOv3u9FswZs/HmvVh3R3XgU+2yEpRrg0Q9yuQb6Dc44U0DsxDOP6xuOnQ0VoNFvw7Of70PKPKl2g+0ZcdaRvUjhUKsjOZ0BKBG4dnur1zA11TqVSYWBqpNjpPjFC5/UlC5VKhbG94vDp9uYMQa+EUARrL8z/TlQqFe4Z1RX1jWbsyClHo9mC174/Im7qzogNUWxSQmeu7p+I7TnlOF1ai4KKBsxeuw81DSbxPO8e2UWxEU8dmTQ0Rez198n2PKzentdqG8mEgYmKZpV8VVa/BKhg/T4IArDzdDmKqw24Y0QXfLo9TxY8De0SickXpbX/YC5Qq1V44JIMNDSase9MJRoazXj9hyNICNejuqER1Q0mWXZ04pBkXNT1/A6s/dX5/1vjIbcMSxX3k7UM2rrGhuDhy7q7bcRVR0J1ARje9MuXGhWEWVm98OT4Xgza/Ih0uTTNR1630T1iZUUtF+IyqZRarcKDl3YTRw1JW2FcNyjJY5vvNU1LprblR1vQpgtU4/Ere3gkaAOsExls/++YLUKroC0mVItLesS1ddfzjkqlQlb/RDxxZS9x2TSvrA6vfHdYDNo0ahXuGNEFj1zRw63vEwEaNWZc3gO9mlpF1RvNyCmpRWmNURa0De8aLcsUkm/xeuC2ZMkSZGRkQK/XIzMzE5s3b+7w+I0bNyIzMxN6vR7dunXDO++846Ez7Zg+UIMHL8tAkFYDfaAGw9KjcN+YDCy8bQieu74fBjctHXjDw5d1w8u3DMK8if1lExXIPwxKjUB8uB5qtcrluZJKCdcHio1kVSqIS2MXskCNGjMu744e8c2VtalRQR7/3qRFB8vajkQEBeLP1/TxSo+9+HBrhjg1KgjDu0bj+sFJmHZpBp67vp9bp1r4ooGpEZhzbd9W2wziw3X4y7V9cVW/BI8E+NoANR4f11P8OVWpgFB9AJIi9eiVGIYbBidj2iWOTWogz1IJzs7BUMDq1asxZcoULFmyBGPGjMG7776L999/HwcPHkSXLq27np86dQoDBgzAgw8+iIcffhhbtmzBjBkzsGrVKtxyyy12PWdVVRUiIiJQWVmJ8HDlly8EQYAg4LzecEueZ7YIqG80I1ShGZdKqGpoxOe78tE9LlTsWUXWthtLfz6BvLI6zLiih1vnpbbHZLbgk+1nUFnfiFuHp3q1V6MgCAwCJGoMJry36SQOnK3EiIxoTBnZVaxM9iRBsP6fog/QOPR+5e73UOqcVwO3iy++GMOGDcPSpUvF2/r27YtJkyZhwYIFrY7/85//jC+//BKHDh0Sb5s+fTr27NmDX3/9tc3nMBgMMBiaO5pXVVUhLS2NP3REROQ1RpPFL7OODNy8z2s/NUajETt27EBWVpbs9qysLGzdurXN+/z666+tjr/66quxfft2NDY2tnmfBQsWICIiQvxIS3PPxk8iIiJ7+WPQRr7Baz85JSUlMJvNSEiQt6NISEhAYWFhm/cpLCxs83iTyYSSktaNHgFg9uzZqKysFD/y8vLaPI6IiIjI13l9w0zLvQ+d7Ydo6/i2brfR6XTQ6TiLk4iIiPyf1zJusbGx0Gg0rbJrRUVFrbJqNomJiW0eHxAQgJgYzze3JSIiIvIkrwVuWq0WmZmZyM7Olt2enZ2N0aNHt3mfUaNGtTr+hx9+wPDhwxEYGOi2cyUiIiLyBV7dHTlr1iy8//77+OCDD3Do0CE8+eSTyM3NxfTp0wFY96dNnTpVPH769Ok4ffo0Zs2ahUOHDuGDDz7A8uXL8dRTT3nrEoiIiIg8xqt73CZPnozS0lLMnz8fBQUFGDBgANavX4/09HQAQEFBAXJzc8XjMzIysH79ejz55JN4++23kZycjDfffNPuHm5ERERE/syrfdy8gT1oiIiInMP3UO9jIxkiIiIiP8HAjYiIiMhPMHAjIiIi8hNeb8DrabYtfVVVVV4+EyIiIv9ie++8wLbH+5QLLnArLS0FAM4sJSIiclJpaSkiIiK8fRoXpAsucIuOjgYA5Obmnhc/dFVVVUhLS0NeXt55UeFzPl3P+XQtAK/Hl51P1wLwenxZZWUlunTpIr6XkuddcIGbWm3d1hcREeH3v0BS4eHhvB4fdT5dC8Dr8WXn07UAvB5fZnsvJc/jd56IiIjITzBwIyIiIvITF1zgptPpMHfuXOh0Om+fiiJ4Pb7rfLoWgNfjy86nawF4Pb7sfLoWf3XBjbwiIiIi8lcXXMaNiIiIyF8xcCMiIiLyEwzciIiIiPwEAzciIiIiP3FeBG5LlixBRkYG9Ho9MjMzsXnzZrvut2XLFgQEBGDIkCGtvrZmzRr069cPOp0O/fr1w7p16xQ+67YpfS0rV66ESqVq9dHQ0OCGs2/Nkev5+eef2zzXw4cPy47z1msDKH893nx9HP1ZMxgMmDNnDtLT06HT6dC9e3d88MEHsmP85bUBOr8ef/rduffee9s81/79+8uO84f/1+y5Fn96bQDgo48+wuDBgxEcHIykpCTcd9994vhFG3/63enserz9+pz3BD/38ccfC4GBgcJ7770nHDx4UHjiiSeEkJAQ4fTp0x3er6KiQujWrZuQlZUlDB48WPa1rVu3ChqNRnjppZeEQ4cOCS+99JIQEBAg/Pbbb268Evdcy4oVK4Tw8HChoKBA9uEJjl7Phg0bBADCkSNHZOdqMpnEY7z12rjrerz1+jjzszZx4kTh4osvFrKzs4VTp04J27ZtE7Zs2SJ+3Z9eG3uux59+dyoqKmTnmJeXJ0RHRwtz584Vj/GX/9fsuRZ/em02b94sqNVq4Y033hBOnjwpbN68Wejfv78wadIk8Rh/+t2x53q8+fpcCPw+cBsxYoQwffp02W19+vQRnnnmmQ7vN3nyZOHZZ58V5s6d2yrYue2224RrrrlGdtvVV18t3H777Yqcc3vccS0rVqwQIiIiFD5T+zh6PbZAp7y8vN3H9NZrIwjuuR5vvT6OXsu3334rRERECKWlpe0+pj+9NvZcjz/97rS0bt06QaVSCTk5OeJt/vb/mk1b1+JPr82rr74qdOvWTXbbm2++KaSmpoqf+9Pvjj3X483X50Lg10ulRqMRO3bsQFZWluz2rKwsbN26td37rVixAidOnMDcuXPb/Pqvv/7a6jGvvvrqDh/TVe66FgCoqalBeno6UlNTcf3112PXrl2KnXd7nL0eABg6dCiSkpJw5ZVXYsOGDbKveeO1Adx3PYDnXx9nruXLL7/E8OHD8corryAlJQW9evXCU089hfr6evEYf3pt7LkewP9+d2yWL1+Oq666Cunp6eJt/vT/mlRb1wL4z2szevRonDlzBuvXr4cgCDh37hw+++wzXHfddeIx/vS7Y8/1AN55fS4Ufh24lZSUwGw2IyEhQXZ7QkICCgsL27zPsWPH8Mwzz+Cjjz5CQEBAm8cUFhY69JhKcNe19OnTBytXrsSXX36JVatWQa/XY8yYMTh27Jji1yDlzPUkJSVh2bJlWLNmDdauXYvevXvjyiuvxKZNm8RjvPHaAO67Hm+8Ps5cy8mTJ/HLL79g//79WLduHRYvXozPPvsMjzzyiHiMP7029lyPP/3uSBUUFODbb7/FAw88ILvdX/5fk2rvWvzptRk9ejQ++ugjTJ48GVqtFomJiYiMjMRbb70lHuNPvzv2XI+3Xp8LRdvv9n5GpVLJPhcEodVtAGA2m3HnnXfir3/9K3r16qXIYypN6WsZOXIkRo4cKX4+ZswYDBs2DG+99RbefPNN5U68HY58H3v37o3evXuLn48aNQp5eXl47bXXcNlllzn1mEpT+nq8+fo4ci0WiwUqlQofffQRIiIiAAALFy7EH/7wB7z99tsICgpy+DGVpvT1+NPvjtTKlSsRGRmJSZMmKfaYrlL6WvzptTl48CAef/xxPP/887j66qtRUFCAP/3pT5g+fTqWL1/u1GMqTenr8fbrc77z68AtNjYWGo2m1V8GRUVFrf6CAIDq6mps374du3btwqOPPgrA+h+4IAgICAjADz/8gHHjxiExMdHux/T1a2lJrVbjoosucvtfPo5eT3tGjhyJDz/8UPzcG68N4L7rackTr48z15KUlISUlBQxyAGAvn37QhAEnDlzBj179vSr18ae62nJH353BEHABx98gClTpkCr1cq+5g//r0l1dC0t+fJrs2DBAowZMwZ/+tOfAACDBg1CSEgILr30UrzwwgtISkryq98de66nJU+9PhcKv14q1Wq1yMzMRHZ2tuz27OxsjB49utXx4eHh2LdvH3bv3i1+TJ8+Hb1798bu3btx8cUXA7BmRlo+5g8//NDmY/r6tbQkCAJ2797d5i+Xkhy9nvbs2rVLdq7eeG0A911PS554fZy5ljFjxuDs2bOoqakRbzt69CjUajVSU1MB+NdrY8/1tOQPvzsbN27E8ePHMW3atFZf84f/16Q6upaWfPm1qaurg1otf6vVaDQArOcN+Nfvjj3X05KnXp8LhicqINzJVsq8fPly4eDBg8LMmTOFkJAQsQLpmWeeEaZMmdLu/duqxNyyZYug0WiEl19+WTh06JDw8ssve7RsXslrmTdvnvDdd98JJ06cEHbt2iXcd999QkBAgLBt2zZ3XoogCI5fz6JFi4R169YJR48eFfbv3y8888wzAgBhzZo14jHeem3cdT3een0cvZbq6mohNTVV+MMf/iAcOHBA2Lhxo9CzZ0/hgQceEI/xp9fGnuvxp98dm7vvvlu4+OKL23xMf/t/raNr8afXZsWKFUJAQICwZMkS4cSJE8Ivv/wiDB8+XBgxYoR4jD/97thzPd58fS4Efh+4CYIgvP3220J6erqg1WqFYcOGCRs3bhS/ds899whjx45t975tBTuCIAiffvqp0Lt3byEwMFDo06eP7M3WnZS+lpkzZwpdunQRtFqtEBcXJ2RlZQlbt25109m35sj1/P3vfxe6d+8u6PV6ISoqSrjkkkuEb775ptVjeuu1EQTlr8ebr4+jP2uHDh0SrrrqKiEoKEhITU0VZs2aJdTV1cmO8ZfXRhA6vx5/+t0RBGv/s6CgIGHZsmXtPqa//L/W2bX422vz5ptvCv369ROCgoKEpKQk4a677hLOnDkjO8affnc6ux5vvz7nO5UgtJPbJCIiIiKf4td73IiIiIguJAzciIiIiPwEAzciIiIiP8HAjYiIiMhPMHAjIiIi8hMM3IiIiIj8BAM3IiIiIj/BwI2IiIjITzBwIyKPMBqN6NGjB7Zs2eLtU3HKRRddhLVr13r7NIjoAsfAjegCo1KpOvy499573fK8y5YtQ3p6OsaMGSPe9uKLL2L06NEIDg5GZGRku/c9ffo0dDodqqqqMG/ePKhUKlxzzTWtjnvllVegUqlw+eWXi7fNmzcPQ4YMaXVsTk4OVCoVdu/ebdf5P/fcc3jmmWdgsVjsOp6IyB0YuBFdYAoKCsSPxYsXIzw8XHbbG2+84Zbnfeutt/DAAw/IbjMajbj11lvxxz/+scP7fvHFF7j88ssRHh4OAEhKSsKGDRtw5swZ2XErVqxAly5dlD3xJtdddx0qKyvx/fffu+XxiYjswcCN6AKTmJgofkREREClUomfBwYGYvr06UhNTUVwcDAGDhyIVatWye7ftWtXLF68WHbbkCFDMG/evHafc+fOnTh+/Diuu+462e1//etf8eSTT2LgwIEdnvMXX3yBiRMnip/Hx8cjKysL//znP8Xbtm7dipKSklbPYa977723zQzkzz//DADQaDS49tprW30/iIg8iYEbEYkaGhqQmZmJr7/+Gvv378dDDz2EKVOmYNu2bS497qZNm9CrVy8xY+aIiooKbN68WRa4AcD999+PlStXip9/8MEHuOuuu6DVap06xzfeeEOWeXziiScQHx+PPn36iMeMGDECmzdvdurxiYiUwMCNiEQpKSl46qmnMGTIEHTr1g2PPfYYrr76anz66acuPW5OTg6Sk5Oduu/69esxcOBApKWlyW6//vrrUVVVhU2bNqG2thaffPIJ7r///jYfY9++fQgNDZV99O/fX3ZMRESEmHncunUr3nnnHaxZswaJiYniMSkpKcjNzeU+NyLymgBvnwAR+Q6z2YyXX34Zq1evRn5+PgwGAwwGA0JCQlx63Pr6euj1eqfu23KZ1CYwMBB33303VqxYgZMnT6JXr14YNGhQm4/Ru3dvfPnll7Lb8vPzZUUMNrt27cLUqVPx9ttv45JLLpF9LSgoCBaLBQaDAUFBQU5dDxGRKxi4EZHo9ddfx6JFi7B48WIMHDgQISEhmDlzJoxGo3iMWq2GIAiy+zU2Nnb4uLGxsdi3b5/D59PY2IjvvvsOs2fPbvPr999/Py6++GLs37+/3WwbAGi1WvTo0UN2W0BA6//+CgsLMXHiREybNg3Tpk1r9fWysjIEBwczaCMir+FSKRGJNm/ejBtvvBF33303Bg8ejG7duuHYsWOyY+Li4lBQUCB+XlVVhVOnTnX4uEOHDsXhw4dbBXyd2bBhAyIjI9ts5wEA/fv3R//+/bF//37ceeedDj12Sw0NDbjxxhvRp08fLFy4sM1j9u/fj2HDhrn0PERErmDGjYhEPXr0wJo1a7B161ZERUVh4cKFKCwsRN++fcVjxo0bh5UrV+KGG25AVFQUnnvuOWg0mg4f94orrkBtbS0OHDiAAQMGiLfn5uairKwMubm5MJvNYk+1Hj16IDQ0FF9++WWby6RSP/30ExobGzvsA2ePhx9+GHl5efjxxx9RXFws3h4dHS0WPGzevBlZWVkuPQ8RkSuYcSMi0XPPPYdhw4bh6quvxuWXX47ExERMmjRJdszs2bNx2WWX4frrr8e1116LSZMmoXv37h0+bkxMDG6++WZ89NFHstuff/55DB06FHPnzkVNTQ2GDh2KoUOHYvv27QCAL7/8EjfeeGOHjx0SEuJy0AYAGzduREFBAfr164ekpCTxY+vWrQCse+K2bt2K++67z+XnIiJylkpwdO2CiMgJ+/btw1VXXYXjx48jLCys0+N37tyJcePGobi4GIGBgR44w4796U9/QmVlJZYtW+btUyGiCxgzbkTkEQMHDsQrr7yCnJwcu443mUx46623fCJoA6xNf//2t795+zSI6ALHjBsRERGRn2DGjYiIiMhPMHAjIiIi8hMM3IiIiIj8BAM3IiIiIj/BwI2IiIjITzBwIyIiIvITDNyIiIiI/AQDNyIiIiI/wcCNiIiIyE/8P9cMRY0AcNErAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_4_13C = XY8(\n", " free_duration = np.linspace(.4, .85, 100),\n", " system = qsys_7, \n", " M=4,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_7.MW_h1,\n", " pulse_params = {'f_pulse': qsys_7.MW_freqs[1]}\n", ")\n", "\n", "XY8_4_13C.run()\n", "Analysis(XY8_4_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_6_13C = XY8(\n", " free_duration = np.linspace(.4, .85, 100),\n", " system = qsys_7, \n", " M=6,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_7.MW_h1,\n", " pulse_params = {'f_pulse': qsys_7.MW_freqs[1]}\n", ")\n", "\n", "XY8_6_13C.run()\n", "Analysis(XY8_6_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_8_13C = XY8(\n", " free_duration = np.linspace(.4, .85, 100),\n", " system = qsys_7, \n", " M=8,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_7.MW_h1,\n", " pulse_params = {'f_pulse': qsys_7.MW_freqs[1]}\n", ")\n", "\n", "XY8_8_13C.run()\n", "Analysis(XY8_8_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": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys_8 = 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, B2z=B2z, f2=f2):\n", " return B2z*np.sin(f2*t)\n", "\n", "H2 = [tensor(jmat(1,'z'), qeye(2)), B2] \n", "\n", "XY8_12_H2 = XY8(\n", " free_duration = np.linspace(.06, 0.17, 100), \n", " system = qsys_8,\n", " M=12,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_8.MW_h1,\n", " pulse_params = {'f_pulse': qsys_8.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()\n", "Analysis(XY8_12_H2).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To show that these resonances are indeed from the finite pulse duration, we now simulate it with delta pulses." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XY8_12_H2_delta = XY8(\n", " free_duration = np.linspace(.06, 0.17, 100), \n", " system = qsys_8,\n", " M=12,\n", " pi_pulse_duration = 0,\n", " Rx = qsys_8.MW_Rx[0],\n", " Ry = qsys_8.MW_Ry[0],\n", " H2 = H2\n", ")\n", "\n", "XY8_12_H2_delta.run()\n", "Analysis(XY8_12_H2_delta).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These ambiguous resonances can be supressed with phase randomization, for that we use the XY8 class with the RXY8 parameter set to True." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "RXY8_12_H2 = XY8(\n", " free_duration = np.linspace(.06, 0.17, 100),\n", " system = qsys_8, \n", " M=12,\n", " pi_pulse_duration = 1/2/w1,\n", " h1 = w1*qsys_8.MW_h1, \n", " pulse_params = {'f_pulse': qsys_8.MW_freqs[0]},\n", " H2 = H2,\n", " RXY8=True\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": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 2 }