{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[]},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","execution_count":24,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"aBdzEZRjmLhi","executionInfo":{"status":"ok","timestamp":1727636921909,"user_tz":-120,"elapsed":10196,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"845bbb52-0328-4c4b-ad00-54826f4d3726"},"outputs":[{"output_type":"stream","name":"stdout","text":["Requirement already satisfied: qutip in /usr/local/lib/python3.10/dist-packages (5.0.4)\n","Requirement already satisfied: numpy>=1.22 in /usr/local/lib/python3.10/dist-packages (from qutip) (1.26.4)\n","Requirement already satisfied: scipy>=1.9 in /usr/local/lib/python3.10/dist-packages (from qutip) (1.13.1)\n","Requirement already satisfied: packaging in /usr/local/lib/python3.10/dist-packages (from qutip) (24.1)\n"]}],"source":["import ipywidgets as widgets\n","from IPython.display import display\n","import numpy as np\n","! pip install qutip # for Google Colab\n","from qutip import (\n","    Qobj,\n","    QobjEvo,\n","    Bloch,\n","    basis,\n","    sigmax,\n","    sigmay,\n","    sigmaz,\n","    qeye,\n","    mesolve,\n","    expect\n",")\n","import matplotlib.pyplot as plt"]},{"cell_type":"markdown","source":["# Time-evolution of qubit state (in $\\sigma_z$ field)\n","When the qubit $|\\psi (t=0)\\rangle=\\cos\\frac{\\theta}{2} |0\\rangle + e^{i \\phi}\\sin\\frac{\\theta}{2}|1\\rangle$ is under the Hamiltonian,\n","$$\\mathcal{H}/\\hbar=-\\frac{\\omega}{2}\\hat{\\sigma}_z$$\n","the time evolution of the qubit state is represented by\n","$$|\\psi (t)\\rangle=\\cos\\frac{\\theta}{2} |0\\rangle + e^{-i \\omega}e^{i \\phi}\\sin\\frac{\\theta}{2}|1\\rangle.$$\n","This corresponds to the rotation in clock-wise with (angluar) frequency $\\omega$ in XY plane on the bloch sphere.\n","\n","\n","In the first example below, we will prepare the qubit in the $∣+⟩$ at $𝑡=0$ and set up the Hamiltonian as described in the equation above.\n","Here, we will introduce the QuTiP function `mesolve`, which is used to solve the Schrödinger equation (and later, the Lindblad master equation).\n","\n","Links: https://qutip.readthedocs.io/en/master/guide/dynamics/dynamics-master.html\n"],"metadata":{"id":"D9auiKitu4Ot"}},{"cell_type":"code","source":["# calculate the time trace of |+> state under the sigma z field\n","\n","time_list = np.linspace(0, 1, 101) # [1/f_q] time points normalized by qubit freq\n","f_q = 1 # [] normalized qubit frequency\n","omega_q = 2*np.pi*f_q\n","\n","# definition of the initial state (|+> state)\n","psi0 = (basis(2,0)+basis(2,1))/np.sqrt(2) # |+> state\n","\n","# definition of the hamiltonian in laboratory frame\n","H = -omega_q/2 * sigmaz()\n","\n","# solve the Schrodinger\n","result = mesolve(H=H, rho0=psi0, tlist=time_list, e_ops=[sigmax(), sigmay(), sigmaz()])"],"metadata":{"id":"UJiaQ70yySqr","executionInfo":{"status":"ok","timestamp":1727636921910,"user_tz":-120,"elapsed":11,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}}},"execution_count":25,"outputs":[]},{"cell_type":"markdown","source":["`mesolve` function return the `Result` instance which contains the time trace of the expectation values of the observables given as `e_ops`. We can have access to the expectation values by `Result.expect`. In this case, `Result.expect` is an array of the time trace of each observables."],"metadata":{"id":"uxw0B1zd1Ml3"}},{"cell_type":"code","source":["result.expect"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"vVpPNmAi1L_j","executionInfo":{"status":"ok","timestamp":1727636921910,"user_tz":-120,"elapsed":10,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"80e31f66-de79-4806-c2cb-bfa9ccd2aaf4"},"execution_count":26,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[array([ 1.00000000e+00,  9.98026750e-01,  9.92114744e-01,  9.82287316e-01,\n","         9.68583249e-01,  9.51056626e-01,  9.29776610e-01,  9.04827189e-01,\n","         8.76306823e-01,  8.44328075e-01,  8.09017143e-01,  7.70513391e-01,\n","         7.28968768e-01,  6.84547242e-01,  6.37424113e-01,  5.87785368e-01,\n","         5.35826917e-01,  4.81753799e-01,  4.25779417e-01,  3.68124675e-01,\n","         3.09017109e-01,  2.48689986e-01,  1.87381391e-01,  1.25333285e-01,\n","         6.27905392e-02, -2.28508529e-08, -6.27905948e-02, -1.25333367e-01,\n","        -1.87381512e-01, -2.48690153e-01, -3.09017323e-01, -3.68124928e-01,\n","        -4.25779710e-01, -4.81754135e-01, -5.35827296e-01, -5.87785787e-01,\n","        -6.37424555e-01, -6.84547699e-01, -7.28969239e-01, -7.70513861e-01,\n","        -8.09017612e-01, -8.44328532e-01, -8.76307259e-01, -9.04827590e-01,\n","        -9.29776973e-01, -9.51056946e-01, -9.68583525e-01, -9.82287539e-01,\n","        -9.92114905e-01, -9.98026836e-01, -1.00000000e+00, -9.98026612e-01,\n","        -9.92114460e-01, -9.82286877e-01, -9.68582649e-01, -9.51055864e-01,\n","        -9.29775695e-01, -9.04826129e-01, -8.76305631e-01, -8.44326758e-01,\n","        -8.09015713e-01, -7.70511861e-01, -7.28967164e-01, -6.84545581e-01,\n","        -6.37422421e-01, -5.87783652e-01, -5.35825171e-01, -4.81752046e-01,\n","        -4.25777677e-01, -3.68122954e-01, -3.09015394e-01, -2.48688229e-01,\n","        -1.87379533e-01, -1.25331322e-01, -6.27884872e-02,  2.12795559e-06,\n","         6.27927027e-02,  1.25335419e-01,  1.87383443e-01,  2.48691898e-01,\n","         3.09018839e-01,  3.68126205e-01,  4.25780766e-01,  4.81755037e-01,\n","         5.35828088e-01,  5.87786471e-01,  6.37425128e-01,  6.84548159e-01,\n","         7.28969595e-01,  7.70514130e-01,  8.09017798e-01,  8.44328636e-01,\n","         8.76307291e-01,  9.04827565e-01,  9.29776910e-01,  9.51056869e-01,\n","         9.68583443e-01,  9.82287460e-01,  9.92114837e-01,  9.98026793e-01,\n","         1.00000000e+00]),\n"," array([ 0.00000000e+00, -6.27901787e-02, -1.25332892e-01, -1.87380970e-01,\n","        -2.48689546e-01, -3.09016655e-01, -3.68124240e-01, -4.25779001e-01,\n","        -4.81753414e-01, -5.35826559e-01, -5.87785048e-01, -6.37423810e-01,\n","        -6.84546956e-01, -7.28968500e-01, -7.70513141e-01, -8.09016910e-01,\n","        -8.44327848e-01, -8.76306611e-01, -9.04826994e-01, -9.29776437e-01,\n","        -9.51056479e-01, -9.68583136e-01, -9.82287236e-01, -9.92114695e-01,\n","        -9.98026727e-01, -1.00000000e+00, -9.98026724e-01, -9.92114685e-01,\n","        -9.82287213e-01, -9.68583093e-01, -9.51056409e-01, -9.29776337e-01,\n","        -9.04826855e-01, -8.76306426e-01, -8.44327608e-01, -8.09016606e-01,\n","        -7.70512775e-01, -7.28968071e-01, -6.84546455e-01, -6.37423242e-01,\n","        -5.87784402e-01, -5.35825839e-01, -4.81752621e-01, -4.25778150e-01,\n","        -3.68123323e-01, -3.09015673e-01, -2.48688471e-01, -1.87379803e-01,\n","        -1.25331623e-01, -6.27888141e-02,  1.78313544e-06,  6.27923692e-02,\n","         1.25335144e-01,  1.87383276e-01,  2.48691882e-01,  3.09019001e-01,\n","         3.68126550e-01,  4.25781255e-01,  4.81755582e-01,  5.35828634e-01,\n","         5.87787016e-01,  6.37425660e-01,  6.84548664e-01,  7.28970060e-01,\n","         7.70514541e-01,  8.09018157e-01,  8.44328956e-01,  8.76307575e-01,\n","         9.04827812e-01,  9.29777119e-01,  9.51057036e-01,  9.68583587e-01,\n","         9.82287591e-01,  9.92114943e-01,  9.98026856e-01,  1.00000000e+00,\n","         9.98026591e-01,  9.92114425e-01,  9.82286845e-01,  9.68582645e-01,\n","         9.51055917e-01,  9.29775832e-01,  9.04826359e-01,  8.76305931e-01,\n","         8.44327105e-01,  8.09016109e-01,  7.70512301e-01,  7.28967639e-01,\n","         6.84546076e-01,  6.37422917e-01,  5.87784146e-01,  5.35825676e-01,\n","         4.81752563e-01,  4.25778203e-01,  3.68123482e-01,  3.09015910e-01,\n","         2.48688788e-01,  1.87380220e-01,  1.25332163e-01,  6.27894861e-02,\n","        -9.96693388e-07]),\n"," array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n","        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n","        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n","        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n","        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n","        0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])]"]},"metadata":{},"execution_count":26}]},{"cell_type":"markdown","source":["Let's plot the time trace of each observable."],"metadata":{"id":"HBK7jdvD24kd"}},{"cell_type":"code","source":["# plot the time evolution of bloch vector\n","exp_x = result.expect[0]\n","exp_y = result.expect[1]\n","exp_z = result.expect[2]\n","\n","plt.plot(time_list, exp_x, label=r\"$\\langle\\hat{X}\\rangle$\")\n","plt.plot(time_list, exp_y, label=r\"$\\langle\\hat{Y}\\rangle$\")\n","plt.plot(time_list, exp_z, label=r\"$\\langle\\hat{Z}\\rangle$\")\n","plt.legend(loc=0)\n","plt.xlabel(r\"Time [1/$f_q$]\")\n","plt.ylabel(\"Expectation value\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":472},"id":"PzGs1AqF3Dk_","executionInfo":{"status":"ok","timestamp":1727636922579,"user_tz":-120,"elapsed":678,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"0b02fd4f-404d-4b56-9d81-bde164364e0c"},"execution_count":27,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0, 0.5, 'Expectation value')"]},"metadata":{},"execution_count":27},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["We can also plot the time trace on Bloch sphere."],"metadata":{"id":"1oK3ZcJ134NS"}},{"cell_type":"code","source":["# plot on Bloch sphere\n","b = Bloch()\n","b.make_sphere()\n","\n","# plot the time trace of the state\n","b.add_points(result.expect, meth=\"l\", colors=\"red\")\n","b.render()\n","b.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":536},"id":"K7no4TFx4G-l","executionInfo":{"status":"ok","timestamp":1727636923931,"user_tz":-120,"elapsed":1360,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"55622ef3-f7c0-4389-e3a3-f09e9278a8c9"},"execution_count":28,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 500x500 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["# General Hamiltonian operator for qubits\n","From the Exercise 8,9,10 in Homework 1 part2, the general form of Hamiltonian of qubits (2 dimentional Hilbert space) is represented by\n","$$\\mathcal{H}/\\hbar=-\\omega_I\\hat{I}-\\omega_x\\hat{\\sigma}_x/2-\\omega_y\\hat{\\sigma}_y/2-\\omega_z\\hat{\\sigma}_z/2.$$\n","After you find $\\omega_x,\\omega_y$ and $\\omega_z$, you can set $\\omega_I=0$ since it just shifts the eigenfreuencies and doesn't make any changes on the dynamics of the qubit states.\n","\n","Now the two eigenstates in the bloch sphere correspond to the vector $|\\phi_\\pm\\rangle=\\pm\\frac{1}{\\sqrt{\\omega_x^2+\\omega_y^2+\\omega_z^2}}(\\omega_x,\\omega_y,\\omega_z)^T$ and the eigenvalues are $\\lambda_\\pm=\\mp\\sqrt{\\omega_x^2+\\omega_y^2+\\omega_z^2}/2$.\n","\n"," Using the same logic as \"D. Rotating the qubit state on the Bloch sphere\" in Homework 1 part 1, it is obvious that the Hamiltonian rotates the qubit on the Bloch sphere around the axis deined by $|\\phi_\\pm\\rangle$ with angular frequency $\\omega=\\lambda_--\\lambda_+=\\sqrt{\\omega_x^2+\\omega_y^2+\\omega_z^2}$."],"metadata":{"id":"Nt31XwTE5CK5"}},{"cell_type":"code","source":["# define a arbitrary Hamiltonian in 2-D Hilbert space\n","omega_x = 2*np.pi*0.6\n","omega_y = 2*np.pi*0.5\n","omega_z = 2*np.pi\n","H = -omega_x * sigmax()/2 - omega_y * sigmay()/2 - omega_z * sigmaz()/2\n","\n","# diagonalization of Hamiltonian\n","eigvals, eigstates = H.eigenstates()\n","print(\"Eigenvalues:\",eigvals)\n","freq_rotate = (eigvals[1]-eigvals[0])/2/np.pi # frequency of rotation scale from rad*Hz to Hz\n","print(\"Frequency:\",freq_rotate)\n","period = 1/freq_rotate\n","print(\"Period:\",period)\n","\n","time_list = np.linspace(0, 2, 101) # [2\\pi / omega_z] time points normalized by qubit freq\n","\n","# definition of the initial state (|0> state)\n","psi0 = basis(2,0)\n","\n","# solve the Schrodinger equation\n","result = mesolve(H=H, rho0=psi0, tlist=time_list, e_ops=[sigmax(), sigmay(), sigmaz()])"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"cer3AUuk9Dgh","executionInfo":{"status":"ok","timestamp":1727636923932,"user_tz":-120,"elapsed":31,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"e8b52ee4-e956-4991-fa7b-4e5e56b78ffc"},"execution_count":29,"outputs":[{"output_type":"stream","name":"stdout","text":["Eigenvalues: [-3.9862342  3.9862342]\n","Frequency: 1.2688577540449522\n","Period: 0.7881104062391006\n"]}]},{"cell_type":"code","source":["# plot the time evolution of bloch vector\n","exp_x = result.expect[0]\n","exp_y = result.expect[1]\n","exp_z = result.expect[2]\n","\n","plt.plot(time_list, exp_x, label=r\"$\\langle\\hat{X}\\rangle$\")\n","plt.plot(time_list, exp_y, label=r\"$\\langle\\hat{Y}\\rangle$\")\n","plt.plot(time_list, exp_z, label=r\"$\\langle\\hat{Z}\\rangle$\")\n","\n","# plot the vertical line at the period of the rotation\n","plt.vlines(period, np.min(result.expect), np.max(result.expect), linestyles=\"dashed\", colors=\"red\")\n","\n","plt.legend(loc=0)\n","plt.xlabel(r\"Time [1/$f_q$]\")\n","plt.ylabel(\"Expectation value\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":472},"id":"sW69plrn-f_o","executionInfo":{"status":"ok","timestamp":1727636923932,"user_tz":-120,"elapsed":27,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"43b2a83c-9b79-48cc-d344-593a5a49a33a"},"execution_count":30,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0, 0.5, 'Expectation value')"]},"metadata":{},"execution_count":30},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# plot on Bloch sphere\n","b = Bloch()\n","b.make_sphere()\n","\n","# plot the time trace of the state\n","b.add_points(result.expect, meth=\"l\", colors=\"red\")\n","\n","# plot the rotation angle (eigenstates of the Hamiltonian)\n","b.add_states(eigstates)\n","\n","b.render()\n","b.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":536},"id":"lGyEclLJCJpV","executionInfo":{"status":"ok","timestamp":1727636925195,"user_tz":-120,"elapsed":1279,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"001bf5f5-b828-4a8a-baea-fc0ca85f895d"},"execution_count":31,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 500x500 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["# \"rotating\" frame vs. \"lab\" frame\n","A qubit is rotating on Bloch sphere along XY plane with frequency $\\omega_q$ (Laboratory frame). But in most cases, we use rotating frame which rotates at some frequency.\n","Here we use units where $\\hbar=1$.\n","\n","1. Laboratory frame\n","$$\\mathcal{H}_{\\mathrm{lab}} = - \\frac{\\omega_q}{2} \\,\\sigma_z\\\\\n","|\\psi\\rangle_{\\mathrm{lab}}=\\cos\\frac{\\theta}{2} |0\\rangle + e^{-i\\omega_qt}e^{i \\phi}\\sin\\frac{\\theta}{2}|1\\rangle$$\n","2. Rotating frame (rotating at $\\omega_q$)\n","$$ U_{\\mathrm{rf}} = \\exp(-i\\frac{\\omega_q}{2}\\sigma_z t)\\\\\n","|\\psi\\rangle_{\\mathrm{rf}}=U_{\\mathrm{rf}}\\,|\\psi\\rangle_{\\mathrm{lab}}\\\\\n","\\mathcal{H}_{\\mathrm{rot}} = i\\,\\dot{U_{\\mathrm{rf}}}U_{\\mathrm{rf}}^{\\dagger}+U_{\\mathrm{rf}}\\mathcal{H}_{\\mathrm{lab}}U_{\\mathrm{rf}}^{\\dagger}=0 $$\n","\n","Thus, in this rotating frame, the qubit state will stay the same as its initial state."],"metadata":{"id":"lSfnsNBlJoDO"}},{"cell_type":"code","source":["# calculate the time trace of |+> state under the sigma z field\n","time_list = np.linspace(0, 1, 101) # [1/f_q] time points normalized by qubit freq\n","f_q = 1 # [] normalized qubit frequency\n","omega_q = 2*np.pi*f_q\n","\n","# definition of the initial state (|+> state)\n","psi0 = (basis(2,0)+basis(2,1))/np.sqrt(2) # |+> state\n","\n","# definition of the hamiltonian in laboratory frame\n","H_lab = -omega_q/2 * sigmaz()\n","\n","# solve the Schrodinger equation# solve the Schrodinger equation\n","result_lab = mesolve(H=H_lab, rho0=psi0, tlist=time_list, e_ops=[sigmax(), sigmay(), sigmaz()],options={\"store_states\":True})\n","\n","# acquire the eigenstates of the schrodinge eq (qubit state)\n","psi_lab = result_lab.states"],"metadata":{"id":"gGSRZG6NRY4i","executionInfo":{"status":"ok","timestamp":1727636925196,"user_tz":-120,"elapsed":22,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}}},"execution_count":32,"outputs":[]},{"cell_type":"markdown","source":["For the rotating frame, it is very obvious that the qubit state just stays the same position. Here we will check if the simulation and the calculation above makes sense each other by recalculating the rotating-frame state vector by applying the rotating unitary operator on the lab-frame state vectors."],"metadata":{"id":"xcnNQPdzI1hP"}},{"cell_type":"code","source":["# calculate the rotating frame states by multiplying U_rf on psi_lab\n","psi_rf=[]\n","for time_idx, time in enumerate(time_list):\n","  oper=-1j*omega_q/2*time*sigmaz()\n","  U_rf=oper.expm()\n","  psi_rf.append(U_rf*psi_lab[time_idx])"],"metadata":{"id":"WMdbAI0-S29A","executionInfo":{"status":"ok","timestamp":1727636925196,"user_tz":-120,"elapsed":20,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}}},"execution_count":33,"outputs":[]},{"cell_type":"code","source":["# plot on Bloch sphere\n","b = Bloch()\n","b.make_sphere()\n","\n","# settings of Bloch class\n","b.point_marker=[\"o\"]\n","b.point_size=[25]\n","\n","# plot the laboratory frame states (plot points)\n","b.add_states(psi_lab,\n","             kind=\"point\",\n","             colors=[\"red\" for i in time_list])\n","\n","# plot the rotating frame states (plot vectors)\n","b.add_states(psi_rf,\n","              kind=\"vector\",)\n","b.render()\n","b.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":536},"id":"8vZdC5rOXx_w","executionInfo":{"status":"ok","timestamp":1727636931668,"user_tz":-120,"elapsed":6490,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"2ab2a2e4-1b98-4782-a9d1-853e694b53c8"},"execution_count":34,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 500x500 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAgcAAAIHCAYAAAALof87AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOy9d5QsWX0m+N3wacvXc/3avdevDe0NDY1thEAaCQEjaTXSwoy0Wo05gzwa7SDOjOyuRoKR2B1pZzij0VmdOcgjEAJJIGhAtKEtdEP3896/MlmZGT7i3v3jmozMSl9Z9d7rF985daoqTcSNyMi43/39vt/3I4wxhhw5cuTIkSNHDgHtcg8gR44cOXLkyHFlIScHOXLkyJEjR4425OQgR44cOXLkyNGGnBzkyJEjR44cOdqQk4McOXLkyJEjRxtycpAjR44cOXLkaENODnLkyJEjR44cbcjJQY4cOXLkyJGjDTk5yJEjR44cOXK0IScHOXLkyJEjR4425OQgR44cOXLkyNGGnBzkyJEjR44cOdqQk4McOXLkyJEjRxtycpAjR44cOXLkaENODnLkyJEjR44cbcjJQY4cOXLkyJGjDTk5yJEjR44cOXK0IScHOXLkyJEjR4425OQgR44cbThx4gR+/ud/HrfddhtKpRJmZ2fx0EMP4bd/+7fheV7f9/6Lf/EvQAjBe9/73i0abY4cOTYDhDHGLvcgcuTIsTX45V/+ZfzKr/wKjh07hhtvvHHd85/5zGfwvve9D/V6vev79+3bh89+9rPYu3dv1+c/+clP4vu///tRKpWwtLQEx3EmOfwcOXJsEfLIQY4cOQAAL7zwAn7oh34I9Xod5XIZv/Ebv4EnnngCX/ziF/ETP/ETAICDBw/ie77ne9BoNLpu453vfCds24bruvjiF7+4lcPPkSPHBJGTgxw5cgAAfvqnfxq+78MwDHz+85/Hhz70Ibz+9a/H2972Nnz84x/Hb/3WbwHgBOGjH/1o122USiV8x3d8BwDgr//6r7ds7Dly5JgscnKQI0cOPP300/jHf/xHAMCP//iP4/Wvf/261/z8z/88br/9dgDAxz72McRx3HVb3/d93weApyjyrGWOHFcncnKQI0cOfOpTn1J//9iP/VjX12iahn/+z/85AKBWq+Gxxx7r+rp3vetdIITg3LlzeOaZZyY+1hw5cmw+cnKQI0cOfO1rXwPA0wIPPPBAz9e95S1vUX8//vjjXV+zc+dOPPTQQwDy1EKOHFcrcnKQI0cOvPLKKwCAvXv3wjCMnq+77bbb1r2nG2RqIScHOXJcncjJQY4c1ziCIMDS0hIA4Lrrruv72pmZGZRKJQDAqVOner7u3e9+NwDgpZdewrFjxyY00hw5cmwVcnKQI8c1jmxZYrlcHvh6SQ6azWbP19x55524+eabAeTRgxw5rkbk5CBHjmscQRCovy3LGvh627YBAL7v931dnlrIkePqRU4OcuS4xpF1MYyiaODrwzAEABQKhb6vk6mFr371q6jVauMPMEeOHFuOnBzkyHGNo1KpqL/7pQokXNcFMDgF8fDDD4MQgiRJ8Oyzz25skDly5NhS5OQgR45rHI7jYG5uDgBw+vTpvq9dXV1V5GD37t19X/u1r30NjDFYloWHH354MoPNkSPHliAnBzly5MAdd9wBADh8+DCSJOn5uv3796u/pVtiL3z6058GADz66KNt0YkcOXJc+cjJQY4cOfDGN74RAE8ZPPfccz1f95WvfEX9/YY3vKHvNj/zmc8AaAkTc+TIcfUgJwc5cuTAe97zHvX3H/7hH3Z9DaUUf/RHfwQAmJ6exqOPPtpzey+88AJOnjwJICcHOXJcjcjJQY4cOfDa174Wb3rTmwAAf/AHf4Ann3xy3Ws++tGPKlfEn/7pn4Zpmj23J1MK991330BjpRw5clx56O2TmiNHjmsKH/vYx/CGN7wBvu/jHe94Bz70oQ/h0Ucfhe/7+JM/+RN8/OMfBwDs27cPP//zP993W9LbQJYz5siR4+pCTg5y5MgBgK/y//RP/xTve9/7UK/X8aEPfWjda/bt24fPfvazfQWGp06dwgsvvAAgTynkyHG1IicHOXJcQ3jrW98KgGsGuuFd73oXXnzxRXzsYx/DZz/7WZw+fRqWZWHv3r34wR/8QXzgAx9AsVjsuw8ZNdi9ezfuu+++SQ4/R44cWwTCGGOXexA5cuR49eAd73gHvvCFL+Df/tt/i//yX/7L5R5Ojhw5xkAuSMyRI8fEUK/X8eUvfxlAnlLIkeNqRk4OcuTIMTH87d/+LeI4RrVaVSmMHDlyXH3INQc5cuSYGL70pS9hamoK7373u4fq8JgjR44rE7nmIEeOHDly5MjRhjytkCNHjhw5cuRoQ04OcuTIkSNHjhxtyDUHOXLkmBhc10Ucx9A0Dbquw7ZtGEZ+m8mR42pD/q3NkeMaAKUUNEmQpikopWDiRz4HAIyx1o98TL5GPqZpIAAIISAaDzxq4nfTdREEASCeh6ZB0zQszM/DKRZzkpAjx1WEXJCYI8dVCkopkjhGGsd80k8SRQAYIUiTBDRNwSgFTdMN7YsBfbfRdF0EYQgAKDgOGGNI0hRJkkDXNExVq9B0HZquQ9d1aJoGBkAzDBi6DsM0+d+GAcM0YeaVDjlyXFbk5CBHjisYcsWfxDGSKEIq/k6TBGmSYNDXVz5PGQPZwDj6kYOG6yIUxKBcKsGxbTX2tXodKaWwLQuVchlqtH3GzQCAEE4STBOmbbd+52mKHDm2BDk5yJHjMoIxhjRNEUcRwiAAZLhfRgWSpNubQMXvbttjjHFSIX4zxpDKVIJ4HhCTsEwjyO0KEkEz22bicXSkFQAgjmO4vg8CoFQswrYsQDxHCEGSJHBdFwxAsVhE0XGgiZSERgg0TVPbajuOzL47oYlIg2lZrR/bhlMoDHfSc+TIMRA5Bc+RY5PBGEMiwv1JkiCOY4S+jzAIEAUBojAES1M+qYqJWNd16ELUp+s6AJHnh4gmZCZ/qQeQ/3fsHNnplVKq9oMuk3Lf4+AbaFv9u66LlDE4tg1CCKI4bts3CAEIQRiGiOMYNE05GchO+oS0EYXO34wQ6JoGJvbXbDbhNptoNptoNhpouC6iMESxVEK5UsHUzAxm5uawsLCAuYUFzMzMwDTNkY41R45rHXnkIEeOCYMxhiAI4HkekiRBFASIkwRpFCmNgAQBAEKg6zoYpYiTBHGSgKUpEkkCxMQvV/maEPrpmgbDMGBmwuzZL7MmVudylS7JBSOE1zCLiVuOod9vQohKK8hbhh+GcF0XBMBUtconcrHvLAlhjGF1bQ2UUpSLRWi63nZMYqNg4nz4YQi32YTr+/A9D57nwc2kLgDANE2Ui0WUKxVUymVYto3A89D0PEUeUkpBwUWVhXIZ1WoVM/PzmJ+fx0033YRdu3ZN4NPOkePViZwc5MgxITDG4Hke1tbWEHoeoiBAEkV8QhcEgGiamhAJIWqCTNO0TR9A0xSp/E0pTwuI6AIRPwDUituxbRQcB6Zptj3fc6zjHF8mKsEYQ21tDSmlKBYKKGZC+nKSz0LqEhzbRrlUatsOpRQxpTh75gxOHD+OS8vLAABd01AoFlEqFuEUCnAcB8VCAYVisWskQJekSURd4jiGHwRwXRe+IA3NZhMNIZ7ccd11eMOb3oRbbrll4PnKkeNaQ04OcuTYIJIkQb1WQ21lBZHvI00SEE2DbVnQNE2t/pMkWR/274BU82dTCjKqoBGiKgBSSpGmKcIwRCpW6Ywx2KYJ27ZhCZLQD3ISH/YGkCUHQRii6brQCMHM9LTalxQTko7bShTHqDca617veh6OHTuGE8ePI4wiLIhV/fzCAmzbVuOTuok0c+xU/E7TdOAxGLrOKyHE+bx48SIOHDiAlZUVTM3O4v6HHsLd99wD23GGPBs5cry6kZODHDnGQJokCFwXtZUV1NfWQNMUSZqCMgbTMKALUtANREz8RhcS0DmhS2KRUtq12oAxhiiOEQQBIileFJEKx7Zh27bSLPTCqOQgGzUoFYsoyAm1j46BMYbVWg2UMZTKZawsL+PY0aO4cPEiLNPEDTfcgJtuugmVSqXPAJgiCZ2Q50iSBUUcen0GhMDQdaytreHo0aNYungRpUoFt99+O+64805UZ2bgFIvKwyFHjmsNOTnIkWNIJFGEwPPgNxqo1WpwXVet5BnQWrFn3qPpOkxRv28ahqrx7wdVcSCEhsN+RdM0RRCGCMKwZWYEwDZNOKIcsF80YdBeJDlQUQNNw8zUVJvWoF+s4tLyMo4dP47z584hiWPMzs7ipptuwnW7dkEfoTwxEr4OSRzzaEyP8yMjDlSkbVIhCu0WaXBdF+fPncPy8jJs28aem2/GLfv2YXpmBuVKBeWpKWgDSFaOHK8m5OQgR44+oJQiaDbhNxpwm02s1mpwPU9FBXTDULl+DVC1+ZIMdCUCPb5yVJYMikmdidWwNmpVAWOIoghBGPJogtif1CY4tt19XCI10XO74phra2tI0lRFDbppDLLHdOH8eRw7dgxnz5+HpmnYvmMH7rjtNkxPTw88jkRM5qraQ2ozMqkUuZ8eG1kXzZA6B0kYEmkSRQiCIMC58+exvLQETdOwY/t27NmzB6VyGbPz85hfWECxXO477hw5Xg3IyUGOHB1gjCHyPDTW1uDW6wijCFEc80iBEAZapolyucyJgXT2G9OcJ+tHkB1Dm5ofaJsMu6YY5OOZUsFY6BJUNAEAYQzFYhEFUX64TnsgJ1TxmwlfBSYm53q9DhCCGbmazoyRZMZy5vRpvPjtb8N3XRUlKFcqIJqGqUqlTVRIKW3pKcR+0ozpUna7GiFcm6FpMGQkRhxbN5Kw7lx1kAXp6xDFMcIwRBRFaDSbOHvuHC5evIhioYC9t9wCS3zGxXIZ8wsLmFtcRFGII3NBY45XG3JykCOHQOj7qK+uwq3XEQRBa1VKKRrNJgghsCwLszMzKDrOhieEbqQg+1zfr2Zm4pavJ4z1HBNjDGEUIQgCxGkKMAbDMFAulWBkw+Vim51bkQ6Jnu/DDwKYpolqudyWUpDwfR/f+MY3cO78eezasQO33nYbZkSUoNFsIghD7nhoGC0iQCkvr5TVHJlqDEOkY0xdhyb0HKRXlEOQhFT6KWwAURzj0qVLePbZZwFNw95bblHuj7L8tFgqYWp6GrPz83AcR/3kyHG1IycHOa5ZMMYQhiEatRqatRoC32+bUKQvgB+GfHIyDExXqwMFfgP3i5bQkImJMDuNyXD6yOmEdQ90/2r7QQDX89S+ioUCClmy02lShBY5UH4FpRJ3Q5SvF685fvw4XnrxReiGgfvuvRe7du4ExPHKioVGswnTMFAqFtv2pfosCHGm0S8tIz0UxO91REASr2FO3AC4nocnnngCruvivvvvR6FQULoH6Typ6Toq1SqmZmYwPTODSqWCQqGQCxpzXLXIyUGOaw5RFKFRr6NRqyFw3baJ0DAMWKYJ27IQJwkargsmKhCmKpW+N3tZrhgniQqRJ+LvNI55SgLgk1nGmEiaGsmVc/Zx2f1QF7bF6rVDTjqSfMgcvUSapnA9D1EcgzEGQ9dRKpWUoVKnjoABiMIQa40GAGBmerptDM1mEy88/zwuLS3hhhtvxF133gnLNLkbpEjLQDhFNn0fpmlidnqaEwFBCsZZ6Xer4mDi/MroQjY9M24sIYpjPPXUU1haWsIDDzyAXbt2ccMqkYqQn3ccRTBsG5XpaczOzmJGEIW8H0SOqw05OchxTSBNU/i+j7XVVfiNBpIwVIZClmnCsixYlgVdTHiucNtjlMI0TRQdh08AmUk/zf6fpi1r4IwboYoKZErwsr0N1GQlw+SySkG8R4G1bJCVAVKHzbBhGLAtC7ZlqWNqvZ217UfuNwxDfpwijVEQRkNZLYIca6PRQBCGsEwTlXJZbevQoUN4+eWXUSgUcN9992F2dpbn7uO4zRtBE8TL9TzomraOYPREZuwySiDHJtMvJHNcTDpBiseVxXRmO8ooSjw+TJQmpRTPP/88Tpw4gde85jXYt2+f2m+SpojjGFEUwQ8CRFEEQggKpRKmZmcxOzuL6elpFPL+DzmuEuTkIMerFtLG2HVdNNfWEPk+aByDEAJbqPazYrIoSdBsNrG8sgLP95GmKXTDgCVXfWLi19AS/ikSICBX9YbIjeuiTTER/QMAtPdCYAxMlNZREaKWivxsKaP8Wx4X0L30UIbSGeP9GayMKZItCFB2hS5Jget5CKIIYAy6pnEtgmUpMyMGYHllBZRSbldsWajVanj+hRewtrqKm/fswc179qhSQXV+hBmUbVlq9bwqfCEqlQrsTqfDLimNQehZqZCBPIf9TKgksdO6pVUyxOKVl1/Gy6+8gptuvBH33HvvOoJDKUUYRfA8D57vI0kS2IUCKlNTmJ6ZwdzcHCoDolA5clxu5OQgx6sOcRxzP/5GA77nIQkCHgEwDDiOo5wLkySB5/vwfB+u7yMKAoRxDCpC1bZt87y6CM1LYZwuwvwyHK4ezzRJkpDiuGG/ZusqFDqfz2gVsr9lSiOMY8RR1HJj1DRORPibgUykREYYpFFSFEVoeh6PcDDeTKlYLEIjvKFSbW0NhBBUKhUcPHAAB/bvR6laxe23345SsdiqlCBEERHTMNq6OAJclBhG0Trb5XExDDnInr9exkhtkFqQTitqEZ04cfIknnvuOcwvLODhhx/u2dgpSRL4vo+msGw2TBOlSgXV6WnMzMxgdna2LcKTI8eVgpwc5HhVgFIKz/Pgi2Y9sechiSIQAI7jKMGd5/twxYouDEMQQlQqIQgCFSmYnpqCUyi0WRmPCgbupDjKF2yQvfIo24miiP+IcHcsCINKX6AVOZBaC8s0kQhyYBgGQAhKxSLvU+D7cF0XL7/8MlzXxQ033ogbb7hBrYDNTHRClhd2gxREWpaF6oQ8A0YhCKlwshwXROg/Ll64gK9//esoFot4/SOPtFIGPbwVoihCw3Xhui4ogFK5jFKlgqmpKczOzmJqamrsMeXIMWnk5CDHVY00TVVDnUS0QKZJwlfGpomUMUUagiDgdfIyVy9W0Y5tc2GbKE+rlMsTEZAlI0QMssejehMMKdBTefaMLqEzPC/z8VGSqPbJURQhFi6D8pUyLZEmCYI4hgauFfA9DxcvXsTK8jKmpqaw79ZbUSoUlM7BMs2eYfJOHUCSprzPgnBY7Hac8vORnxWAdRqI7PGmXcove0FFWyZw66vX63j88cdh2TYefetb15HIbr0rKKVwXRdrjQbCKEJBdJcsV6vYtWsXSqVS7puQ47IjJwc5rkokQh/g+z63NW42oYOv6mLhDuj5vhKbyclG1/VWd79CAaZp8hWxKO2rViobLlUEoDopZgWHQMfk1vF3r/4Jm4Gs+DEWvRnCMFQmQGEUcRFnGKK2toZT586BAVicm8OunTtRqVRQLhZV1GXUfcuqh2q5PDD3LttTy46L2f8leWBSayFJUuZ8d4o75f9JkgxNwPqhVqvhsS99CTfv3Yu777yTd97Mft6ZclWpB5GTfxAEWKvX4Xoeipl0w/z8PApCGJojx+VAXl+T46pCkiRoNBrwfR8A4NXr8Op1ZfIjOyJqhMDQNGi6joJtwxaEwJYmNpnteZ4HBqAk0ggjo3PiH0IBT7r8PalpQJYvKtGjCKPL39KWmWUsiKXBkyk6ISZxjKbr8nLOeh0zxSJiSjEzNQVD0+B5HqIwRNFxeDvljvOaHYucrGXkAAAs01TCRaPLOc82WJKail6QZAEi0tBJIKTQUEJqIwxhwgQM33yqG6anp3HnXXfhxRdfxLbFRSwuLraNrRMkQxQcx4Ft24jjGEsrK1i+cEHpFKrVKqrVKorFYk4Scmw5cnKQ46pAHMcqUgBwF76VCxcQ+T40w+BRAUJgWBavRHAcFAoFOJbFV3JdwChFs9kEA2Aaxjri0BUdRKAbxtENDBPA6zRMoplJPhW2zmmmEmIYh0UCtCoqAIAQxFEEommIoginT57E3PQ0brjxRjz3wgvYNj/PCRRj0E2Taz2aTYRhiFKxiFKphKI4j/16LhiGgSiKuI1zD0dBRWRkl8VMh0rZG0Geh15OkwCUT4SMNGT/pkCr+gTrIzrD4pa9e3Hh4kU8++yzePt3fAcscQ6y14ISN2YIGcT+bMvC9sVFND0PjdVVJJnUj+M4KJfLOUnIsaXIyUGOKxpRFKHZbCIIAgCA53mora4ibDZhGQYs24ZtmigIl79RXOlc30ciVq/lUmn9C4YgAp3o5e8/8H29JjbwUDky7Yhj4bMwbEZQz6ymtWx4XpbuaRpPIcj6fE3D+TNncPjQIey+/nrs3bMHjWYTOiGoVipwHKelTUhTBEEAyhiazSbq9To0TVNEoeA40DVNTbRS+yDTEVSWPXYbNyGAcEzsPFIZnmcZsiD7MWTbXEO8JulB2GR1iGyUZZimGttIhIEQPPjAA/iHL34Rzz73HB555JF1L2EdhE0Twka5XU3TUC2X4VgW6o0GmrUa0jRFsVhUEbNyuZxrEnJsCXJykOOKRJIkWFtbQxiGoGKFL0WHBoCCZaHgOJiamuIq8RHr48MwVP0TZDMgYOOh/VGjBsrBEK38uPytHBaF62I36ISA6Lr6nW1KJEPtnRNJdtVKKYXvefDDUB370aNHceLECdx+223Yu28fPNflq21CVGrGF2StWChgYW4OrqgS8YOAC+48D41mE5qmoVgsolwsoiiIGwNvZQ1CeKRDmhv1OU+dzynSlCkflRbP2RSCJArdIg80TUEY410ZRWUHAOVT0UkWsuPophlxHAcPPvAAnnj8cRw5cgR79uzpc0Sta4WJz1GWgVqWhenpaTRdF369Dl3TQClFsVhEvV5Hs9nMSUKOTUdODnJcUWBiBdpsNhVB8H0fGmMgSQJH11EqFlGpVlve/vyNQ+9DWgcDQMFxYPWoUR93/IOgbuiZSTphTEUEpONit/fJ7o/SXyHrxDhoXFnjJmkQ5QeBCnfrmoZXXnkF586exf333Yebb7pJnSddVG8QQRCI0B1I8lYplVAplTjZCEN4rgs/CJBSCs910Ww2QTQNRcdBuVTi5lPgqR0NUALCzIAHn8duj4mJXB6vJggT03VYXc4RpRRBFCEWpZ6pKPeMOsiCaZr8nAuy0E0zAoC3eN67Fy9961uYn59HdWpqIOGUTo+qx4QgdlOVCjzPQ31lBeVqVe3fNE3U63X4vo/p6emeHgs5cmwEOTnIccUgiiLUajUEQYDV1VX4vg/LMGBSCsIYqtPTqFYq641phkFmhe6KfgqGYaBYLE70GLLkIEsCOifvbB+GSFQGdELLkAFTGC21CeuGIQSk3caZMtaKmohtmKK/wTPPPINarYbXvf712Lljh4peAGgv7SQEjkgXNF0XcRyj0WyiXCpBF+StWCgoAuL5Pq8qERbWru+rNECxUEClVFpfOkoy3R5FyeIwk6yyUc6mhMRkni1/lOJITdNgmyZMEX2gjCEVn0uWLIRhiFB+LpIsiM+mMw1x1113YWlpCU8/8wze9uijilh163bZDTKiQMAjM4ZhcIJVr3NfBGGcFIuukeVyGRXxvciRY1LISxlzXHZQSlGv17GysoLV1VW4rouiacLQNBi6zlXbwixn1MtV+ufLG6e0tKWMYXpqaiIWtgxc1AbhJNjtJp3KxjwiMkAzZEBqFHQRzlaTjsi1KzvfEXwP5Liyf4ciUiDPoWEYKDgOoiTBE1/7GqI4xhseeQQzMzMqP75Wr6v3f+mLX8TbHn0U09PTauKWJaVUdiYsl7nGIGO7LMfgZ4hCHMeoN5ugjHeFLBWLqJTLKBeLXT+T7Kfeb5IdWfPBGFJBCLqBipLHJEMWOpElC6boJFlvNPClL30Ju3fvxr333af2JT/DYYlCdoxhGKp0Tqlcxsz8PEwRPdN1HVNTU3m76BwTQx45yHFZ4fs+zp49i+XlZfi+D1vXURXGRNVqFaVSSa0chyUGqjRQTqbidxzHyvugXCptnBjI1WlWN6BpgFgVZzUD3bQIumHAFJUChvitVr2iXr/zGLqhV9mkXC1HYlKhonRRF6TAtiys1mp44vHHYRgGHn3rW/n5Bj93URzzcer6+siG+EwMw0ClXEbTdZGmKRfNZSMBsqyS8aZOBccBZmYQRhG0CxfgBwEMTUMUhrgYBFjWdUxXq+s6YLYdXYedcduwep6lHhBiz3W6DIiUhzDKkqknRRbimJMFIYCUHhFAiyzccccdePGll7BtcRE7du1aX045whg1oUXQNI1HXxoNuI0Gt2KemYFTKGBlZQWFQgHVCbQVz5EjJwc5LgviOMbJkydx8eJFRFEEg1JUbBuVclkp4lXJHgYQg8yEmo0SZEEpRdN1wQDVgXEsELL+xi4mvzCK1Kq423izIjdD10HEClv6DchtD0MIgFbaoJefQiTGk8rIhDCAskXzpXPC/neqWsUjjzyiNBxytZ8IcmBm/ABah9wSgOqGgUqlwnUigiCUSqX2Jk/i9XLbtmVhZnoalSSBaZpI4hgNQTCWV1exWqthSpCEzpRDJ1HorISgna8ZgG6fVZs+g78IAEYiC3Nzc1iYn8czzz2HNxYKqFQqLX1At8+szzUuS07BGEqlEq8sCUM0Gw1Evg+nWIQlUjlhGCp/hBw5xkVODnJsOU6ePIlTp04hjSIQSlG0LMzOzWF2ZkbdACXaJs8ssjX/WQ1Cj4nSF10WCSFqdTwIjDHlo9/LLz/O2BEDLctkQggnApmfbkY8ch+tJ0ZIHXQjKmgJLqWoUSOERwpsW52nY8eP4/nnn8fOHTvw2te+tm2lKbctKyQM0wTCsHM3rQoRUQ5ZrVTQdF1VfloslZQ5UqdoklEKXdeRJImKPkxNT6PRaKDRbCKOY6zW61it1VCpVDBTrfYkdNlIkUzxyLTIMHn4nmWknVUkYvvZlMAgsnDr7bfj6a9/Hd/69rdx5513co2DaOi1LnI1oOKGgBMxliQoCsMuT3TTJLoORikatRqKlYpqPjYjv1M5coyInBzk2DL4vo+DBw9ibXUViGM4loX5xUXMzswol7xs+F222W3L02aIwLACLKmgpwAqQ6ymskSDtB5UzydJglCo2bMTi67rcGwbRGgl2iZDMaH0KysciA6C0u1dQRDA9X0VUXBsG7Ztq4mIAXjl5Zfxyv792HPzzbjn3nvbtqOsnDM+CmaPPhMEHVUGhKBcKsElRLUsppS2dV5UrxZ+C0DrM9cIwVS1ikqlAk/0HojiGK7r8mhEsYiZAXn17DlWeos+k+7QqarMNrOfFwVUW2t5DFmyUGEMt992G77x4ovwPQ+FYpE3B/N91agq2za8M2XSGbmQEYQ0TVXHUKnjAADHthE0m1hbWUF1ehpxHGNubi7v/JhjZOTkIMeW4OLFizh8+DAS34cOYGHbNmxfXGxNWjJCICCFZVnFfVuVwgjK7CAMuaOfyAX3RMckkt2DyitH0TrXO7kSlCu0bCMj+ZpeBGAoYpBNm/SA9BaIkwQEgGUYKJZKbTX6DMALzz+PY8eP464778Qt+/Z19Q9oixp0RDy6jU0ciPpdElULnucpg6RyBykjaFkLd4r8NEJQLpdRLpfh+T7qjYYqu3RdF47jYGZ6GqUeRE9WLCBLEjo+W/nXRrtgauiIKnToFzRCcPPNN+PgwYM4d/Ys7rr7boSipXYcx4jjGJqmqRbabav8bMVG5hg0QgBNQ0opbNsGY0yJPYkgJ6ZpolGrwW02EQYBtm3f3uoamSPHEMjJQY5NRRRFOHHiBC6cOwcWRXBME9fv3o1ytlVvJzGQpABohfXHBKWUK/QBFDtXnD30A9lxyHr3ThMieTOXXgPZ92i63qpGGGZi7fpUphxvAIGIogiu56lVcCkTzs/iW9/6Fo6dOIGHHnwQ119/fd9tyhLGQTX02Y6JWTiOA40QnmYIQ/iErJucdF1vrYx7oFgooFgoIIwirK2twROajnMXLsA0TcxMT6+rcCC9zms26iKiUkma9u2BMQxIBwmRegw5Cl3TsO+WW/DiSy/hNXfcgWqlgjRNEYoGV5RSBEGAIAhgCtdPKxtNyI5dEgRNU+TZcRxQxhCFITzPAykWYVkWSsUivCDA6ePH4dbruO7GG/O20DmGRk4OcmwaVlZWcOLECTRrNRBKMVutYufOnar8CgAv0xJaAAA98+jjIgxDvpoD2gVyPcBEzjjMmOBImIahxIz9IgEEAMTNe9C+uj0mu0gOAmW8HXUYRSCEVyGUSyVlNyzD/oQxHDpyBAcOHMA999yD66+/vueELFfdcRyDUsq3JSYh2eY4e1xqlY4MiRGrdsu2UQT3lfCCAETTYDuOckMkmgZGCN+mPHc9zpltWVhcWOAlkI0GGq4LSikuLi11rXDIjqsbGDhxVNbOI2gU+qFTgCkn9Rtvugn7DxzAwUOHcM+990LXdd4Z1HEQxzFC0T5b+it4wn/Bsu31janENnVd57oSUQ4KIYp1PY9rXkwTxUIBfhBgZXkZrufh+htuwLYdOzZ8nDle/cjJQY6JI0kSnD59GpcuXkTQaMAyDCxu24a5mRlumyvBeOc9VbonHk5HqQHvAxluZeAr0H43RLWSC8N1/ve2aOY0SumjpmltXgZdx9cx1s7KAxmuBmOtVsTiuVj4C8ixOqLZFBGTrdo+Yzh95gy++cIL2Hfrrdi7d29XYpA95lR0bySiqyXQO3qRfV/bZCz+ti0LVPRtcF2XkwbTbPkfyFbLstKgg3hkQQCYloW52VlMTU3x/gPNZtcKB90w+kYkWKZRk0o7kPbOkRtFdvyWaWLv3r14Zf9+3HbrrbBFFEV2w7QsCymliDKpqyAMEYQhDMOA3YWUSldL2b2yIKoVItFRs1Iuc6OvjHjxyIEDqK+tYe+tt07E4yPHqxc5OcgxUdRqNZw5c0Z1lpsqlzE/N4dqpbJObJWKFT3ZBGIgV1FUrMS7dVyklKoIQbZUjxCibsbrnPswvIhQ13WeT+/22oyvvjwHqiSvY1/yeORk7/k+wiAACFGOhN3GCQBLly7hmWeewfU33IC77ryz73iVlbNIKciw/7DodV4KhYLSbLjNJjRRnkgI4dED2T66I83QOUm3lRRqGqampjBVrfKGT5kKh5VaDVVREmv1+NzTLlqDdeLTCZEEiT179uDgwYM4cvQoXvOa1yjSJ6FrGu8k6jjcOTMMEWW8Mjzfb0tnAVzToI5E01AqlcCE9Xij2US1UoGu66o6wnVdnD97Fo16HbfecQfKlcpEjzHHqwc5OcgxESRJgrNnz2J1ZQXe2hoIY9g2P4+pqamu9dapMJjpVMp3CrpGQVtLY0JUY6VCJmogQ+ZhGK7TEZimCdu2YXboCLLj61Zx0Auy9EwRD1nnTwiYDHt3TBD9pqMkSeC6rmou5AhToV7jqdfreOLJJzE/P48HHnhgaBGnLIEctQSu33kpFovrVrWyM2QKEeKXUYrWBnkEo9f+xGsqlQoXL3oe1hoNxFGEputitVZDqVzGVKXCu3USglQYVHU6Z67brtg20E5KNgLbsrBnzx4cPXIE+269tXWdZSJCfLetigdJYMMoAk1TZbak6zps21bGSFQQbSkIleLUpusqW2szY1jlNpt48fnnsWffPmzbsWPDx5bj1YecHOTYMOr1Ok6fPo3Y8xB6HorC3bBaLvMccwZyQtS7Tb5j5nzb/AjE+8MwVJOAbduI4xiRuMlmYQgdgT1Ij9AnHy6f7zaBEPDmP226Cj7o1vsGHyBX6/s+9xQQ0YJ+YkHP9/G1xx9HqVTC61/3uv4h5I7zLqsH1uW6NwDpL0GbTSSSIGSiSb3OrDZAO9C5fWkQVK/XVbWE63m8g2e1qs5ZNiLTKSjs9Xinx8E42Lt3Lw4fPoxjgiBkSxSB9edB0zTlLCm1CVEcI01TeJ4H3/e5uZZoyiTfUy6VUG80uPeBiCDIVt2Vcpn7YCQJDr7yCppra9h98815uWOONuTkIMfYoJTizJkzWFlaApIELEkwPTUF27JQKpXaiYG82faqNxfbGzmMna1myLzX932u6tZ11BuNtrSB1BFYtt1W6rdu233Gku0ZIN7Q87UaAOg67z8gHhu2gC5NEnjS0Ejkp4vFYl+FfRTHeOJrX4NGCN74xjeqSaPnsWQiOEwo+AH0TFWMC0K4D0Kj0UAq2nDL/fYrKexmPtQPcjL1gwBrjQZ814Xv+2iIVfTM1FTbsWX7QLSVsmYiUTLik41AjUMSCo6DG2+4AYcPH8aevXvXRWeUkDIjZpQwRYkipRSRiH6lacqJbxyDBAEKhYKKSFTKZTSaTdA0RdN1USoWebRGkIeG0GtcuHABvu9j5+7dmJ2fH+OocrwakStScoyFZrOJAwcOYOXiRSAMUbRtRQwcx2kZ1bCWcVFf9fgoUQO52pITe8f74iiCHwTKaU8SA9uyUCmXMT01hUKh0JUYMLG9dWPpGPuwE4N8lwaeU1Zh5CFWw2EQoN5oqAhIuVTiPSH6nCdKKZ568kkEQYA3vvGNAxvxdJKcNOOquBnOepqmoSyaM6VJogSjrA85gBjjqCWHjuNgfnYWC4uLPNKiafA9D2fOnUO90Rj4fklIZMkgpRRU6iPASZV8zSi4Zd8+RHGM48ePd9lpprW2+L8TmqbBsW1MVauoVipcLAv+2TWbTdXnQtM0lb6hlMLzvBbJIgSlYhFE03jzrEYDp48fx/FDhxB1c8PMcc0hJwc5RoKMFhw5fBhhswmdUmxbXOTOgKJ8SprTEELaTI42krdl2byspvUMx8dRhAuXLsET4VYZlp2ZnkapVFofihcq9bab/ATyy23jlbsCn+BIn/ED4Cu9RgOecL0zDANTfeyDs/t85tlnsbqygkfe8AYeth+AzlEovcGYUYNux90JXddRKpe5pkDU+I9yxuVKfhAopYiFPfP8/DwWFxeVMG+5VsPZ8+cRiC6Ho0BeK7LigYrHqDj2QWMrl0q4fvduHDx4sCexkJ+Lilb0eJ1hGCgVi5gSxByAKvf0PE/tjxDCUxGiYgTgJKNULAKEN9kKwhCNeh2HX3kFtZWVkc5JjlcfcnKQY2hQSnH06FEsX7gABAGqhQKu27VLdR3UdR3lcllVH2RD1YMm3F6eAEpkKFfdfUjB2toaVmo1pSuoViqYmZ5uEyR2brvNcIlMxmNBRR/QPcIgS9A0Poi256IoQr3RUGLJYrGo8sX9d8rw4ksv4cyZM3jtww9jbm5u8Di7RDDSTKXCOBj2HBoi900IQRzH8MVENsz2u0Z2MpDmRmlHmspxHGzbtg3T1SpMXUcizJSWlpeRbMApMVv+KCMMqfCEkGSh8+red+utCIMAp06dGryDTPSt11HLVEE109wpFNdSFMcoFYtgggTIhlogvP9HQUSXgiBQlTunjh3DiSNHVOVKjmsPueYgx1BIkgTHjh2Dt7YGjVIsLi6iXC7z/LEIe1crlVboPANpQtQL6/L3yJCCAaHkOIrg+b66iUVhCNuylP1udh/r9jchMtC2j0HCRaAtLaIDynjJ931uvESIWhEOO0kfPHwYRw4fxv333YedO3cOPebO85tMSIw4TJrINE2USyWEwho5CMOuzo7dQIBWlUdmYk5Zxm2zS+5elkCWSyWs1GrwPQ+u78Pzfd4lMuvcOSbaei9kS1YJUauxarWKHTt3Yv+BA9i9e/dwKTV53WRTU5n3EZEKKpdKqvQxTVMEQQBN9LJgaQrP91HNVOQ4tg0mfBVc34emaTAMA/VaDb7v48Y9e+Dk1svXHPLIQY6BSJIEx44cQSCIwY7t21Eul9VkJolBNythOoAYyNe1YYhIQRLHqNfrPCcvvAQs24ZTKHDRXqHQc9VGMj+TQDaUPpAYoEv9PuNOh5FY0TmOo3LFw+DUqVP41ksv4fbbbsNNN9880tizyNb/b1SMOKx+xLZt2I7DDasy52CofaCVYkjTlHfE7Oh70WscumFgYX4eC4uLsIVV8dLqKs6eP7+uomUjaIuiCf0CFd+LvXv3olmvY2lpabSNZkgC6fhfwjAMVCsVlIS1NKVUmVHFQuuRRaFQUBGHZsaKOw5DHN2/H/V6fYyjz3E1IycHOfoiSRIcOXQIYb0OCGLgOA4YpfB9XzXJ6ZYPH7Y+XIZf0YcMqPEIUrBWryOOYxBR7z89NaVU2oZptjkxZifjSZICYHAKYRCSJOHVFJTyG/rUFBeKDTm5Xrh4Ec8+9xxuvPFG3HHHHSMMfP3KXooR9UzHxM2GqhwR148rRKSDIHP8SZqCpulImoUsCo6D7du2YbpSUamGs+fPY3llZcNNmRR6pARm5+ZQKBZx+swZLnQcU+vSWUWRhWVZqFYqKDgONNF4zPM81NbWEHYID0vFIreTFv1IJFJKceLQISxfvDjW+HJcncjJQY6ekMQgaTTAGFPEAIzbEkuTn26h4M4ui73AhsghA91JgW3bmJqaUl0AZQtlq0N02KmBmARkRGKc7cpJJ4ljNBoN0DSFrmmolsuq4Y6maarHQq8po1ar4etPPYVti4u47777hjY5AtDeallApRQmXMLYD/Jzt0yTEwRC4Aq1fTcwxp01kyThZlAZn4BxzbM0TcPU9DR2bNumqhqarosz586h2WyOtc2ukNd5xj9h544dOHf2rEoTZCsiRqIK2aqgdbvlBLpaqShRbpIkuCT6LcjrkRCi9Aed3UcB4MzJkzg7jEYix6sCOTnI0RVRFOHIwYOcGBCCXTt2qLI4xhi37wXvWdANg+rAsyvufiVqcZKgkSEFyJCCcib0TilFHMdg4P77bZPGaIc+ECxzcx8LhCAMQzQaDTAAhmmiUqm0950Qr1PixQ4C5bkuvvb446hUKnj44YdHWul303gAmcjBZSAHhPCujYZhgDGGZrOpVtNUEII4TZGK1EFXoafcXkcefliYpomFhQXMz8/DsiwwxnBpZQXnLlxY14RrI5DjZAB27NwJ3/dRW1tre40s71RkYciogopQdCkd1jQNxUIBC3Nzyi+h0Wyi3mjwklLGYJomJ4eM8VbnaEUjCCFYvngRxw4dWtdmO8erDzk5yLEOURTh6MGDiJtNMEKwc/t21UmRACrkaMjVXgf6VSdkSYFEt9u3DLevra0hzJCC6Q5SoMYsiIEuJtNJiw3l2Bm4rmAj2/Z9n7dYJkR5Lwyc3AU5kPnjx598EqZh4JFHHhl5pd9r7OPaJvfCMGWNsr+ChMyRJ2nKrZBFhIBROpSeg4Df1Dby+RSLRezYto07Kmoa4jjGmfPnsby6OrlUAzgpXpifh2lZOHfuXN/XDh1VkJU3IpLQ7XWmaWJudhalYhFJkijRYr3RQBhFKhIYisqFzlLKRr2OwwcOrEtL5Hh1IScHOdoQBAGOHziAxPMAQQykk6Am6tJV1KBLzwQpuuoGqdgG0La6y746SRI0Gg3U1taU2FEavnQjBRJRFKmowZWUQujcTqPZ5OSKMTiOg5KoQR8F33rpJfiui0ceeUSleVjHT88x9Hg+TVM18U3KNnmYssZsO+g4ScAY49cVIUhE7f3Y+yakL1HtB03TMDM9jR07dqBg2zzV0GzizLlzcIcsuxxqP7qOHdu34+zZs0O/JxtVSDN6i87PVRKlbs/JTqPSA0GSTs/zVMqwLXqA1veUAAh9H0deeQXuEGZSOa5O5OQgh4LneTh58CAi3wfRNFy3cyds2267wUtjFdOyYHZZsVKsV+yrm0q3SVCsSrKkQKrFs6Sg3+pYNlMCY8oIZtLYKNmgjPGVWRgCjKFUKvVMyfTDmTNncOTIEdxzzz2oVqticKRVB9+FdCnTni6qdols1GDc3H0vZEmLrIiQ1QWyOoJKjQoRvSOEN0Xg++saZA0Lgo1HQUzTxLZt2zA3NwdLpDwuLi3h/MWLiCYUWt+1cycajQZ83x9ZWEkIaScKXYiQ8vDo+FyLhYJ6zrZt5QciPxs/CBAEgXLoVL4l4j1pmuLowYOo12qjH3SOKx45OcgBgEcMTh0+jCgIoOk6TyUIcZy8qSRJonKv3SY2xphqRSz/Zx0irE6kaYqG67aRgmz6oC8pED9xHKu6+kmJ6RgmoC0QSChFXQopAVSE5e2o8FwXzz33HHZddx1uvPHGnq8jHePOTg7KClhO2BClgOIcyqhBWyQC7fX6ylegy+vktrMle5IEKGOgjnSDHG824mSKla1sM5yOq+QH1ms5xkCpVMKOHTswVanA1DREYYiz585hdQKphm3bt0PXdZw7e5bfkMckZ/LzzRowqecAlXKQ0HUdjiRhYQjLNJUds9SduJ6H1VqtZzSKMYaTx47Bd92xxpzjykVODnLA8zwcP3QIcRBANwzs2L4dVpcuhTLHaNn2uklYhjqz/w8KKwdhiLW1NcQdpKAyRKRAGtwQQNXGmxOIGrSFT8eckLJIhKAyERUJ5YyD3UjjohTPPPssTMMYuTKhtRGmxJ8k8xgYa4scrJsIxP8y3y0nfWkfrH6kcC77AwzUU6gyvI7HC4WCGo+3gcmnl4p/VGiahpmZGWzbvh0Fx4FBCNYaDZw9f36db8AoMAwDCwsLOHvuXJtWpltFybBoc2rsIC9SsAjw9IKu66oCSYoWq+UyKqUSAK6RWcs0L+scFU1THD9yRH2Pc7w6kJODaxye5/Evtu9D13Xs2r5dldN1QoZ3O0sFgRYxUILDftECSlFvNNB0XVDGYJjmUKQgu/1s+WMsSxg3SA6yOdVJBNZD4XGfUgpTmNKMG+Z+5ZVXsLS0hIcefnjs4+w3Ocrw/mY0W+I77713NRl25swJUZqMJI7H6oMAtEjeqI2besG2LGzbtg2zs7Owher//IULWO2oOBgFO3fuxPLysorMSTfFUVI8/bQ+MnLTSXwJISoKGEWR8pjQdR2VSgXlUgkgBHEUodFsrqvakAuAJI5x/MiRniWoOa4+5OTgGobneThy6BBSSQx27oTRgxgwxlT5UqfWQIadWSch6HKzktGCSHgVlAoFHqod1Fa4R2linCR8YiOkqwZiGKj0ByZDCgCepmk2GqDCd6FSLrep8kfBpUuXsP+VV/CaO+7A3Ozs2GPqFRqmmdXlZpgfDfIgUM91GZ+u6ygKUyhP5L9HRXYFPkk1RblcxvZt21AuFmHqOmr1Os5fvDhWn4YdO3YAjOH8+fPrnhsm8iFdIgchG02Q17thmlxbRAg832+7ThzbRlkIRBljcD2Pd3fMvEYSdt91cfrYsWEPOccVjpwcXKNoNps4cugQWBjCNAxct3Nn31W7jBoQTVvnPkjTlNsdoyMUn7kpp5SikY0WiE6DUgSllOUdUI2RekwuciVjmeZYN34V6ZhACkHCFaWKgLi5CmIwzviiMMQzzzyD+cVF7Nu3b0Pj6nUOVZvmLXRGbINMK/T4DGzbhiXaEsvrZ6TNd+xrUg22AO4JMT8/j5mZGZiEIApDnDt3buQoh+M4mJmd7Vu10C/yMVLLc7SiCYkwkio4DoioWMimSHThOipbsQO8xLHRbLbSDEJUTAhBrVbDudOnhx5HjisXOTm4BhFFEY4dOQIaRbAsi0cMBqy6ZSe37Aqfyrx/9mbb5QYViI6JYUe0IFsy17m6bOtX0OemJ8WIY+XxM/ueBGSpopwYCoVCW6niyPSDMTz3/PNI0xQPPvjg2JEHvqnee9/0lAKGixz0G2OxUICm62Ci3G4CA+pJSMdBpVLBtm3bYFoWKGM4d/Ei1kbsR7Br1y5cvHixbwSgV7+IcUWRRJQnM8ZQECLZIAzXlbWmlHKiWyqBaBoXEvdIMyxduIDlS5fGGk+OKwc5ObjGQCnFiRMnwKIIjmHguh07hpoU4kxKQdmtYnAeu9FocLe7LtGCTnROooPC0WmaIkkS7m8wIjmYNDGQpYpRFAGMoVwuo7DBTnZHjhzB2bNn8eCDD25oW4PMiLI9FS4HhiFPRNMU0YrieGLNkTRNmxhBsG0b2xcWUC4UYGoaVmo1XLx0aeiJe+fOnUjTFBeH6GGgND1DeFsMC+WOCE4QwBh0XefRJMaQpilM00RVaIO6pRnk9+nsqVNo5M2armrk5OAaw4ULFxDW69AYw7aFhaHCyLKlMANfXUor334r2c5oQbFLtKDXvgaRAgm5ajFNc2ix2aRFhwD3CMjaO1cqle6iwRFu4LVaDS+99BL27tmD7du3b3iM/Y5Vakk22za512eqBIkDJlHDMFTpneu6Q+sPZBlfL8jJbxLQReXB1NQUTE2DHwQ4e/78UPbL5XIZ1Wp1oFuiBAEnTZMiNwDUdRuGIWLhmyAXD7L3hqZpKJdKPdMMAADGcOroUfgTNIzKsbXIycE1hGaziZXz58HSFPNzc7CGrLVPkgQQAibLshQp6LYi6hUtKPaIFkjI0sdRct5yld6teqLXPiaNWJg3pWkKXde55e4YKY4s0iTBM08/jUq1ijvvumtCI+2zvwk7I/ZCr09/lFy5Y9uq+6bneUN/poP2QTRtotfH1NQUFhcXYRkGaJri7IULaAzRxGnHjh04d+7c0BO+9JXQCJkIwTENA5pItyTCsVIX5ybOTP6ySVO/NIM0SZpIGijHliMnB9cIkiTBuePHwdIUpWKx5a7XB/IGxQCgixCx82Y0TrRAhrzlSr6zwVAvSLtdOqTeYFKGRllEcYxGva5KFac2UKqYxTe++U14noeHHnpowwLBQSHnNNPUZyvEiD1dMjE4ciDfXyqVoOk60jSF7/vD7njgSyZV6ijhiHbQBceBTgiWVlZwaXm5b5phx44diOIYtSFcB2WHSjlqTdM27G4p3RJBSFtZJYSPRfZ6AdA9zZCpeEiSBIf374c3ye6WObYEOTm4RnDu+HGkYQid8GYv/dApBJS56LbypczfG4kWZE1fJIa5wWUV9v1y5aovAttYs6ROxEnCSxXBoymVSmWgYHCY1eCpU6dw/Phx3HPffahUKhMZa1/dhkwpbIJt8rCQ523Yda+maSiJ8sYgCIayMR722CZ9BmSaoSqaOLmu29d6eWZ6GppQ/Q9Cr74RG/0cLdNUGgMZPchuVzowSqxLM4ShSjNohNs7H9q/f7Ltr3NsOnJy8CoHYwzLp08jaDYRpym2LS72XN1m8/HZG0Knmpxl/h5bW5DZVydkBKEfZL55kL1yr31sBLIPhCQG5SGbJw0iB67r4vnnn8f1u3fjht27JzTa/pAka7NTChK9Pm9gtLSPaZpwZG3+BuyV1w9m8t08ZROn+fl5WIbBo3g9Gjhpuo5KuTyQHEiXyk7ICNxGKls0TYMtHFJD0dAMaBkeyQlfNuuSZZS90gyyYduRV15BM2/UdNUgJwevYlBK4a2uYnVpCWEcY3Z6WrH7LLKWwUCrZlp59HeWGIrw4ljRgo40Qi8MqkVPhyAHGLCPcZCkKerimC3THJoYgLG+oW1KKb7+9a/Dtm3ce++9Y/vrt+0SgwmJ1BtMov/AsOg8X8OUMnaDUyjANAww8L4TfasdRhvgpkRRisUitm3bBkdMvBeXlrq2gZ6Zne1LDqS3SD8QoUMY9yhk749ItG1ev4NWKagy0RIpvm5pBk3TkFKKI/v3o7EBJ8kcW4ecHLxKQSlF0mzi0rlzSNIUtmVhZmam7TXZm7GcrFVPhMzNMZuLppQql8OxogUj3LD6rX6Ucrpjn23+CEPuZ1gkghBRoTEol8tDTyKDpr2XX34ZtbU1vPahh2BsUNCYxaDxXa4yxs5rTzw4EkEghKBYKin73rCP8dA4cYVJ9GPohGmaWFxcRKVUgqlpaDQa3FUxk2aYmppCvV7v2+xoWPQzGOsHXdd5qknTVNlo9lqSf8lzJPUPlFIQQtalGZrNJndnTBIcOXAA9ZwgXPHIycGrEJRSpK6LlUuXOPNnDIsLC22vYZmVbPbm3KuMUJql1BsNNEaMFgDjhfgJuovkmMiHUsbaCMmo5GMUpJQq8aFhGNwOeYTVZT8HxgsXLuDggQN4zR13YGYD9sjrMGBCkOcR2Pwyxiw6r7E2EjjGJFbK2itPqI2yhDbGmAZuU9MwNzeH2dlZGIaBJI7bmjdNT0+DCiLaiW6NlAaBYDzyl40e9HNgzJIoGUkAsM40yfc8REnCUwwHDmAtb/V8RWPr7gg5tgSSGLj1OhqNBqI0xeLcnFL0Z7/kKtcr0wgDVupN10WxUIBuGCg4DrdcHUQKBAkZd8KWBCF7Q5R96zVCWmJJaeE65n76gTLGyxVFzfc4fRJ6TS9RGOLZZ57B4uIi9t1yy4bHqnQhlIK2HmxFVDKr8yRJeI8LcKfJSAjc2qpUxHs83wcD79BnZjp2EqD1+XZJRWWJgLpW5G95bXQY+oz6GVq2jThJEIUhmp6HaqWyTrMy9nUhV96if8ckUS6XYVoWb7gUxzh/8SKmp6YwPTUFQgjWarW2qqJUdMIcF6Omb1RZI6VIkqSvT0VndEI5LBoGquUyXM9DkiQIwxAppSjYNo4ePIibbrkF0x0RzRxXBnJy8CoCpRRps4k4CLCysoI4SVAtl1Eul9VrOm/UnfqCbvB8H36mPGmqUhmY6wcmt5KXBIGJrnLZ9sJyP5PsjZCFJAay5XK1Uhmv5K9HHfqLL70EyhgefPDBrpOPFHyp3yLfrJpdCeV4Z8li2wTQqXcQ/0ei06Gu631r0RlanS9DcYNfd3joELRm/gbayREBQMEJjLzuskp2wzB4nwdBWKX/BdE03qmwS8lesVBAkiRI0xRBEKhOg5MCIQQUGyAZPWBbFrZv24bllRX4nodavY4wDFFwHNTW1iBlqXSDxADIjF1EAQd6PxDeU6HhuqpR2oA3tImZAU5oZHVJGIbwwxBhEICARxYkQZhoxCzHRJCTg1cJJDGgcaxavxqGgdnZWSUA7AQD+jYEYozBdV0EYchv2LoOx3GGJwY99jsOCABoGiDylgDXG/Q6tklA9kpIkgSapqEyLjEA2oiBnOgvXbqEE8eP466770ZKKVzPa5vws9GSbpOsPHZ1M86QALUClxOs/DurJYlj6LoO2zR5+VomAqD2Kd4jCYFjmrAdp3U82UhDRu+RHZOMWHS+Rk5SEKvOVBjvDIMsUZBEQtM0+GGISHxepmlyUiGPZYAotP8OeQvlYSbVUaFpGhbm51Gv11Gr1RCGIcxCASurqwDau2ZOAjLNMEwDK130s2AZP4V+2wUEkZIpSrT8KxzHgabraDQaCIKA93NwHBw7dAhs717Mzs1t4KhyTBo5OXgVQIoPkSSoNxoIwhApY9ixuNhb9c9Y7+fENhvNpurvXp2agu/7ynioV6nhRtMI/SAJQiLSCoZhbD4xEMdfKZeHNjiS1RxSgJWKsGw2X8woxQvf+AYq1Spm5+a4lz26TPiASvlo2d9iMtQyK2v5WqA9fdQLDUKgGwZKxaLKL/eCLWx1LdtGoUvFyziQJAjg5XFJmqJUKEAzDDUhyagIlX9LEx7G+Eq+Y9JMkwRxHCMOQyVWVKI88ElR03X1W5MpjSGhyYlvE6oZqtUqbNvG0tISKqUSTp85g7W1NZRKpYnvC4ByQuxHEZI0hSH6qURxPLT7p0wzZM+SFPIWikWuPxBCx4Lj4Pjhw2CUYq5DG5Xj8iEnB1c5KKVIGg0gTXkVQa2GMEkwPzsLy7LUykxiGH1BmqYqlA5CUCmXYZqmKmuKoghOl8lkM4lB234oBSjdtNp8BsDNEKNKjzQKFbXeaZryiT9JkPQI/6ZJonQRIASnTp1Cs9nE61/3OliWpVa4nRP+oJRPr/EP8w5lJLWFZYxtENeKPG5dEL5BE5CMqkhdRZZIlEQFgLxODcNohbspxbq4hKZBJ4QTBtFkSPUP6fYdIUTV7W8GQbBtG9u3bUO9XsfxEydw9sIFbFtYQHVChlidkAuEtMfxxHHMm60xhjiKQB1nqOhZNx0CwO8RtmWBUcoNrDIE4cTRo2CMYX5xcRKHlmODyMnBVYwsMUgpxcryMuI0RblQwNTUlIoOSDDG+qYRAC5Sq4tyPU3k2A3DQCrKIT3f70oONrNSIItUNIDSZAe5TdAauK6LMI4BxlS5YhRFKgqQClLQdd/Sx4EQGLquVqlAKwQeBAGOHTuGW/buxc6dOyc+/mHOSTZtsZmtmvtBXZtZrcQQ79PEZI4e47YtC57n8ZI6obeh4nNLkgQ0TZFKr4A0RUoIUko5GcxGbMRnty7aIPQPbJMIAtE07L7uOrz44osIfB+ra2tgjGFqCMvzcdGtO2Ui7itSA5JSyr/7o0SOuugQAMAwTdgAAt9HJKJmBcfBSUEQFrZt2+AR5dgocnJwlSJLDABgdXUVQRSBEG6PLEVfEsMQgzAM0XBdQJQIVkSvAPnFtgQ5yKYWNstToBsY2psEyRtaLxvZUSAn/WazCc/zQJMETqHQ0/JVRmCkfbOeIQLdrIjTTDThpZdegmmauP322zc05o2AZvwNJt1TYBxMcgS2ZSEUZC4MQxSLRV63zxjMTARIijoppaBpikT8lo+RNAVLUx5tyJ4jQqDLFI+4Dg3x90bIgryWKaWwCwU4tg2aJNA1DbV6HZQxzExNjb39flArfbQm8jjT9dQ0DLi+jzCKYAtnymG3y/9oTzMQsV3GGIIgUGm1guPg1LFjoJRi244dkzq8HGMgJwdXIWiaco2BuMHHccxb2FKKndu2tWrWM6KwQY6DfhDAdV0A/EtbKZdV+FDeLAxd53XZ4qYrVxBbRQyAlvmRXO12RkaG3VaaJEjETyxqr8MwRCBqzQuFgiIfnVEAvSMiMArOnz+P06dP47UPPbTh7o3dMOw5kFGDrWi21A+KxEqtxCS2SQiKjoOGENNaltU1LSSFebqmAYaBbCxMVoWkGfKgNCOUIiUEoBQsjtusxnXDgK7r6rsy7PnNVqTIsU1NTyMIAkxVq1gTpcmUUsxtYumfFKEyxhCJtJokB1oQqIZnw3ZC7bZdAqjIi2VZYADCIFCi14Lj4MyJEwBj2LYZkbUcQyEnB1cZlPgwY2laW1tDSimKhQKKxSKA1s1GhkB7QVqcyknRsW2UMpbAnSVytmm2kYOtJAaASCuwdvOjtjr5bvl+SpGIJjKy3E1GG5i4yUdRxHPUuo5SucxXmz2iAGMdg/g8vvmNb2BxYQG7rrtuw9vcCDrLQS8bCOFNsbqkGDYC0zRVBMHzfe5NgeHJh0YINMNYd4PsFm1IM2JTFsfcrVFcj5qmKaIgiUPn9dSrGmF6ehonT57EVLUKQghqa2twPQ+MUszOzGwasSOAarhEANUi2zRNhGGIZAxyILcrdQgaWpFN27IAShFEUTtBOHkSAHKCcJmQk4OrDKnrKmLAwG1jfc9DQim2T0+r1zHGeJizz7aYqOGXK4Risbi+PrzjRiZTC2macoIwQOW+EWRdHCVkpUI3Rz9JEuIkQRLHSNIUcRy3brxytQe+YjZME4auK194yzRRLBZHy6kOCUIIDh44ANd18fpHHtmUXPUo06qKHFxucoCO6M8Et+sUCojjGGmSIIoimKLiYiPoFW1ggOpimCYJJ6OUgok0hfyOZaMLknz2wtT0NPwDBxBGkTJ2WqnV4AUB6MoK5mdnN4UgMMZNrwgAM5NCMAwDYRRt3IVSimwzhMgWhmp+ZwTh1CkUSiVUNymdkqM3cnJwFSH1fTBxk5GK9HqjgYRSFB2nNamxwS5z6yoSSqWu5WzZlbgkHMViEZ5oqGKJWvJJoxsxkOVsQMYASYQ5ZVQgSVNFALJhWl3XYRoGDPEj3x+GITcAIgRO9hxOGM1mE/v378e+W2+dWCvmdRhh1X2lpBXWYYICU118pp7vww+Cofw5xoUkDZplAYKEMEpbkYU0RSL1DFGECK3PQPYxUKkIQeqnp6cBQlBfW8PCwgIXx2oaN0wKQ1xaXsbC3NzEP8NApA80TUNRTNoso9eQuoxx9ysjOJ2RHCujQcgShBOHD+PWu+6CNQFyl2N45OTgKgGNY6S+D6D1hYrjGG6zyaMGMg8pywm7lBFJZCsSiKhIMHvcOLMGN1J57DgOIrGCaHoeqhkHxklAVj50IhWrslSYM0nledZ9UAovzWwot4ujHgBEQqsBQmDb9sRd9bL4xje+AadQwG233bZp+xgFW92quS82URBpW5a6VoMg2DTyB6wv3SOaBlPT1HeLCZOnWES1ALRKYdMUUWY7MrJg6DpWV1exIOr/S8UiCICVlRWEUYSLS0tYnJ+fGEFIREk0wF0npehYRQ90HQn4PWRDk7W8n2R9FjSNfz6EtIkUAeD44cPYd8cd4+8vx8jIycFVAEopEiEWlCCErI8aZCbwnl7+UYRGs8lD87qOarncs+mOUi6LcH1WaVwqlbBWryOOIq5gnhCrXzduIYyK4hiNRgOe5/HVf6b0ShdEQOV2u014jLU5wsVJgmajAQa+YikJrcZm4MyZMzh/4QIeef3rNy3Hn22FPQgyoiJzwFcCJq05yG63WCig3mwijCLohtGTCE9qf8B6YajsWqhpGmzbVumIrFeG1MUwSpEwhgT8e7a0vIydzSYM04QpUl+apmFpaQlxHOPCpUvYtrCwYYLAGFM22pZlKcFstuLAMAyertsoOchcd22kijHYYr+SIMgzee70aey4zFqdawk5ObgKkLquCpUD/MsUR1F71GAIA6IgCNDsUZHQEyRjpZuBoesoFArwPQ+u53Gr2g1ONPL4qBAIxnGMOI7XVSpYlqVsnA3RVnYgCLe/lX0CmqKzpG1Zbb0nJo0kTfHCN7+Jndu3Y8cml2YNe/az5kdXDDmQlTGbsG3DMGDbNoIggO/7MCqVTRPSdhLzbJfCbvuUplfZypUkTZVuoVgsoul5nDiIvhEaITBMEzMzM1it1ZCIpk2L8/MbSp0EYYg0TUE0rasLpiw/DIQocSPIWmjLaiomBMKypwOAthTDuTNnUKpUcv3BFuEKSzjm6ETq+6BRpL408mbeFjWw7fXEoGPl0nRdRQxs2x6qgVC/mxrA84HSe93tiGyMijhJ4Hke1up1rNZqcD0PkSgT00TYv1QsolqpoFqpoFAowDTN0bojihuR5/ugjMEyjE0lBgCw/5VXEEUR7r7nnk3dzyiheZXrvoL0BpK4bYapFcCvVY0Q0DRVpjubBRmRSUVuflQYuq6u93K5jESYjumapkoqoyhCnCRwbFuJgy9cujT2pJ1m0wl9XBBN4R7JpBHYmGi7WjMEAQC/BgRxdxxH6RA838eJw4eVq2KOzUUeObiCQeMYie+vW93FUaR8DbYJ0dK6qUGW9jGGpgipAmgrd+wHeaPuN+UQAOVSCWuNBqIR0wsMXDMRixLCNGvzLKoRbNOEaVkqL14Twq6xIxSMoem6yvWtUqnweusJmCh1Q6PRwKFDh3Dbbbdtmj++wgjjl4ZMV0KlggJp9T/YDGiEoCBMrTzfh2GaEydHMg0nQ+QaIUiHEAf3g+M4CIVXg2VZLd2CqMjRDAPVahWrtRoa4ti2Ly7y1urD9gJhDK7vA4zBNM2+6QLp+RGLcUwsTZaJUMqFkLRaBkSKQXRzPHHkCG65jAZi1wpycnCFglKK2HXbuuRJ1IV3fNFxUCgU+jZPqjcaajVRKZV4R70BGNZIB+AhW8dxEPg+mq7LQ6Q9QpuypCsWGgJkbqQgBJZhwBS5zm43biZKDkeKFmTgBwFvPQu0pVRUnhhQ3eQmgedfeAGlUgn7brllQlucDOSK70qKHACbb6ZlWxYC00QsWlVPSmciScG6fgsylbUB4uk4jqrEMTJ+A6ZpghUKvNFUkoAQouzTz54/j5mpKZV6s0yzp1+H9DlJxTaGEeWawggtSVNYbLwmVAPPiSTsHSkG3/dx8cIFlCuVXH+wycjJwRWK1HV5x7keUYOYUizOzPS8oaZJgjVBIgghvCJhCOOScW5kxUIBaZoijiLUG4226ockTTkh6FIfTQhRKyJptNIPVIjuxhFexVEE3/PAAJS7dVgU0Rdd5j43GEk4deoUlpaW8KY3vhG6rrfZJ19uXJFljOKzn2Rr4m77KBQKSITvgbzuxoGMrGVFrt2u314CxWHh2DYIeMltp56AAKo0t+A4KJdKOH/hAoIownKtxgmCZfE0iiDtpmhsJVfmrufxnhKEoCSEjoNgmCZIEPDvs3Q9nJR2JSt8zggVOwnCsSNHcv3BJiMnB1cgUt8HjeOuX7hs1KDYIwqQpqkiBoMqErLICh67OQ32glyJN5pNxFGEWq0Gy7ZVPXQWuq7DtKzWambIfdBM6H/UtEJKKZqCGDiOM1BlndV2MDEBjLLHOI7x4osvYvd112FhcXHT8ugSo2ydMdaKHFxBaQUZIdtMgaSs0HFsG77IYVdHFCd2pg42G7bjgInSvkGpKdM0sXPHDiwtLyMMQzRFZY8ujL5YFCEW+iVD11suiJqGcrE4tJ23rmmApgHCJdIQXRsn/sllogdAO0HwfB+HXnkFd91/f+5/sEm4gpYOOQDhZxAEXW+SWa3BbA9/9ZRSrDUaPG+v65iqVocjBuKLKPdLx7j5WaaJQEQPlpeXlXBIll9NT01hampKCRlHuZkocaSmjVYXzxjcZhOUUhimidKIXgaE8CY72ggT17e//W0kSYK77r57pH2Ng1FFfOo8EnJFRQ6y5XKbvQ9biPsYpQiFbXgvqJSBKEXMGmsNvd8NkB5pUR4MKaLUdR3zc3OcBJsmmq7L9TWlEp9ENQ2UUjSaTdSbTTQ9j5s3jXAtSN0BIURFA7NN2IbBwHNICNDFn8QWCwuA28YfPXhwhL3mGAVXzt0hR1c/gyxk1KDgOF1LjaiwQ2ainnp6amqoL70MC44TAk3SFK7n8QoD14UtWinLbo6VSgWVSgWO40DLdHgc9VbJMrbHo8D1PJWTLZdK400+0udBTKiavGl12dZqrYYjR4/ijte8RhnubOoqc8Rty/TGlRQ1aMMmnisiVfGaprQ6fhCsS/lkCYF05dzoZyivnVG3YwoH0kEkJgtd17EwP4+CIEHLwjCpUCigUi7z9IQsGRTVDvVGAw0hXB5mjKZhgIBXGUkM3WQKw6eP5GeWhSOqKRhjOH/+PM6cOjXUtnKMhjytcAUhdd2ePeJl1CClFNu6RA0YuDpe1ilXq9Wh2fyoqxoGngMNO+qdiabBsSxMT03B9TwkSYJGs4lqpQLDMFoVEGNM0FL1PUpKIdtlcShPhxGQ7XLJMmmYb3zjG5iuVrF3z56J7WvAQEaLHFyhYsTNjBh0249pWTDiGEkUwfd9FbLf7JSBJkp/hwUhBE6hoK7jUd43PzfHrZaDAMurq8ryOElTOLaNwvQ0NEIQirJIKXz0M1qgXg6ahmFwAiV6nSjiRcjAFEM3a/SeryW8ARbNlE1K4WRTuKQeP3oUlWo11x9MGFfYHeLaReJ5PXUGAFCv10EphdMlasAANJpNJRCqlss9LYPb39j9Jtjr5hUnCZquq6IESZKo8qdyuYzpqSnezVCUCRqGATCGeqPBe8P3ID7DQEYOhq1USJIEnuuCASgUizA2oT0yACWg0jQNp0+fxvLKCu65774tmezGmcjSK1GMiM2vVGjtqFUu69i2IrpBGI6VMhh599kxDAnHcUYmB3w3BHOzs7ysEcDZ8+dRW1sDAW+yZovKoHKphKlKBbZtg2gaUsYQhiEajQbqjQbCMFx3XnRdV9dQp9B4EIEf9QzL+xHJjEHXdXUf9H0fh/bvz/0PJowr6w5xjSLtozMAhNLe95GkaVetgeu6fPIFWpOyQM+vaQ/2Lm14JShj8IMAtbU11Ot1fqMQK5BCoYDp6WlUKhVYltU2fkKIGgtjDPVmc+i8aTfIzonDRA4YpWi6Ljc6sqyuKZhJgzGGV15+Gdft3ImF+XmuUQDa0g+bMfGMOqleiWLETmxKx0p5XTPe1psyBl3T1HU7Sth+oxhVUOvY9tjfHUIIZqaneSoMPDUJYF3LZU30NahWKigLMi07TXq+jzXRLjpLBGRpZTfjJUIIb4feAYbei48+B8GJSAehzVo812q1XH8wYeRphcuMNE152WKPGwYBVPfEblEDz/eVvWi5XIY1QHyoQoADblCxaFSTZeOMMe4Lb9tDKZsJISiXy3CbTURJAs/3EccxSqXSyGFtOmzkQBodpSk0Xec6gy3AiRMn0HBdPPy616nHOsmSyp+KdA8bEH4diBFTCsAVWsbYCVket4FNMHQRawpiALRIlTQZSkV772EV+xvFKAZJjuNgaXl5rP3EcQxPpE0opUiEvsApFOD0UPlLHwXpSxJFkbI0j+JYkSr5HY6TBN1kvsr1MoPOxcewyAqmsyS74DjKifL8uXOoTE1h1+7dY+whRyeu4DvEtQHqeX1v8JRxu98kTTEzPd32XBCG8EWnxpIIE3YiO0ENuuEySuH7vooSSGKgaxqKxSJmZ2ZQLpeHvoHKbm6VSkW5MsZJwrctWk8PC9WqecCk1ml0tBW9AyileGX/fly3axemBuU9ScsJLlsBkQ03Dx1hGJUYsJbP/xXljtgFw35qkgRQiOMTVQU9XS87rgeNEO4loGljhe7HhqiAGQaO44wc2WDg4XbX88AYg6Hr2LF9O8qlEnRCsLy8PNBqWdM0OMJqvVwqwRCEIUlT+L7PW2H7PkJBHrofZsdCZNzoGSFqYZAVKWaNm5I0xfEjR1Cv1cbbR4425OTgMiLxPLBeX1Axkfu+r2qJs+5loRAoAuCrgD6hc4L+EQNGKTzXxcrqqlp1A7xsqFqtYmp6mpdUjbDaVExf/F+wbV5WqWm8qqLZhOv7Q0+E2RK8XlBGR4yhWCptWej8xPHj8DwPt4/ZUlZ+LjINoUhDRwkc61gFjwop6tI0bcNNsiaOzvF0/C+rB6TOgnb8nz0foxJCW5QLpmm6pXnrYUscbdvm6bwht5umaZtlumPbKIkqhdmZGe6uSCkuLi0NXTVgGAZKohy5IO4FjBBQShEEAWr1OjdT6nac4lilA+m4yL6TaJr6zNv0B0GAg6+8suHGUDlycnDZkKYpaJ88opwcPM9DylgbMZDCQIDfOAbV7vdyMMuSAj8IwMC/aMViETPT0+qGMip6lSsawncha2ay1mgM5R4orZN7hcM7jY4m1UJ6EFTU4LrrUK1UJrPRbDQBrUlEllCqHgQy0iBeJ1MV/cYKXHkphbYJPiOyTIU2IM10JFXpggmiLXqwyU2ZxoFsPjRMw6hIdBxN0xSapqFcKimvBIB/v+fm5mAYBtI0xaXl5ZFcKWX5Y7VSQaVchmXbYIzxTqeex43Q+kQFN/TZdZLAzHWcdbtcq9dx+vjxjewpB3JycNnARDqgG2SIWZq0pGmqSq2SJOGiIlElMLChj5hQsxN1N1KgCSfFKeHJPm7/grZj6Pa48Bsol0pqtba2tqZWOd0PgamJr+uKd4NGRxvB0WPH4Ps+7tjiRjAEaIVWM491JYHid5qJHHQ+r35GXNl1TuzZCT5bTZGd3Ls93zlWZI5lK1JDdrZr4xUWPZBdV8M+5EBaIXu+DwbuQ1DpQe5Nw8D87Cx0QhBFEVbX1sYau6HrKBeLfBGh6wClSJKkJ0lglG5YY9N5X8reDwqFgvI/OHnihEq55hgPOTm4DEiTBGmPG1A29xwIYiCVxCmlqDebAGOtroKDdiZTCYJseJ63jhRURBniJMRYwwrJZMpC13Uw8JbSjWazaxRBho9Jl5sDMCGjozGQpikO7N+PG264YdNbP2fBGMMoem95Nqg4h53pFpL96YhGZPe57ifzWbGOn873IkMihqUfW0EKJGRbcEK4VfFW2SMDgw2SbMcBGOs52UVxrCZjAi7SK5VKfc+fZVmYnZ2FDl7ttFavjzV2maKyLAvVSgW2aXKSIMzRGs0mYmHTLDVIk0R2m1n9QRTHefXCBpGTg8sA2qNssbMG2vd9UMaUmK9er6sywqGIgdgepRSeEBr6YmWRJQWT8iYfVWFu6DqmhHsiwL/QNVEylc1NyhVHN2KgjI4YQ6VU2tKQ+dEjRxCEIW677bYt2yfQbsA0CmT4eJhKkc7ta932eaXpFoZAvxHbtg1N2Av3C41vFnqJRB3H4eWWHZEDaTLmeR4opdA1DeVyGbZtD7W/YqGAqakpGJqGtXodrueNPmaR+08z5c3VSgWWYYAJktBsNrFWr7dZLY995XQTmnb4H8j7ybmzZ7G6sjLunq555ORgi5HGMeiQYUvpbVAsFNBoNHhL2Iz74SBQESlYrdUQDEEKNrJW6qkOHwBCCEqFAqYy/gxBGKJWq/HoBmNIxXY7j3nLjI66IEkSHDhwADfdeOPg1M6EMe7nRHukFa4EdLuaO8vWJoF+25PaA+0yRA+A3gZJuq7DsixVTZGmKVzXVeJhQggcx0G5UhlZhFupVFRp8fLKCoIRUyryWmIZAylN01DMkIQ0QxKkq2E3W+RhwLpFDzsqP2zLUhbRB/fv3/LP8dWCK+8u8SpH6vvrowZdKglkSgEQPRc63A/7QZGCtTWeg2SMk4JSCTPT0+sMUDYK+dXbSMjQMAxMCZGTrmlg4B4OtXodoUiBZG8Kl8PoKIsjR44gjmPceuutW7pfYAwTGaBNKX4lkoNemHhqYcD2bNsGEV0ML0v0oMf4bNFJ0vd9Faon4vFqpaJaO4+D6akpOLY9dIlj23gzTqydwkaZDq2UStx/hTEkcaxIwrjtubtN9Z0pi4KItjTW1nAyFyeOhavnLvEqQBpFQMYjXKLbDdD3fR6qQ8uetNrhftgJOaGurq3BCwLlpV4plXikQORUe4kNx2HYnSWLG4VlmpiqVlEsFrlATJCAZrPZ8le/TEZHEkkc48CBA7jxpptUyqcvJrhyGdtEJnMjvqLJQce52krdgdyfI9ILlyN6AKzvcMiExkh6CgD8e1KpVNQkuBEQQloljmk6UokjAOVe2PkeBh6tkumGSqXCFyYZkuBJG/ZR0Gds8kzI6AUIwUlRapxjNFzBd4lXFyilSLsIinqFEn3Pgx8Eqt1yuVxWpTqdYOD1vSurq9z0RJICmT4YMgc5KsbtsDgIhBAUbLtVU80Yr90WosWG52250VEWhw4dAk3TLdcaAOPrDa7UngpbjaF8BSxLaQ9GNeuaCESYnDHe46Ber6tKEl2Q4WKxONHPUpU4mubIJY5Sd9D5ekpp270tSxJMSRKSBK7r8qZyXRZOPXbY86lsusIwDDjCI+L4sWO598GIuLbvFFsIJhoPDYNIOB+GYQi7UOjpfgjwqMLa2ho8EabTdV01QZLq6070Kp8aZ5W0mdOyVB+Xp6ZUKsT3fSwtLcHzfVi2veU9AqIowsFDh3DTnj19jac2C+OuZK9kvUE/SAOvLd2nqFyQrZK3ev/SqrjZbHIBsSjh1YVeaBzvkWEwbomjTHNmyUG/pmByVd9JEpqNxtDRml4krzP9aNs2DF3HxfPnsby8nOsPRsDVdae4SkEpRdppfypD8V0u8rV6HX4QwLZtZWLSCQZewler15GkKRghKlLQixRk0XUFOsIKfMN9AUaATggKhQJKpRKSOFZtreWqKoyiiYbu++HQoUOgAPbt2zf0e7o1oBkXY4sRpZvcVUYOOl0iN4whrxPbsnh7Zca2zPcgTVN4nod6o8ErlSgFNA1OobBphKAT45Q4apqmqqIAfo2mQ5znNpIgznUYhkq02A+Dtt6mPygUkCYJzp89i/qYJZvXIvLGS1sA2mXy6mVlnCQJarUaEkoxPzPT1dAnThLugiZcA03LQrlYHNkvX1qQjlppsJXEQO2TEKRJAstxYNk2bMtCHMdI0hSJ68ITuWK54tsMhFGEQ4cPY+/NN3Njmi2GXI2NVcYoIgcbNbe6HNiMqoVh9mnbNvw0RRiG67qOTgqMMcSiuVF2QtQ0DbbjwBRdTYmmjSVEHQfFQgHp1BTW6nWs1evKOrkX5PdN9rRIR7yf6JqGUqkEM455GbNINViWpco4NwKZzli5dAkL27ahWCxuWYOtqxk5OdgCsE5nM8Z69jior60hSRJomobF+fm25ylj8DxPlTQR8aWyLWtDNecEw69IFZHYwjy/FDZFYQjbtlU4kjGGIAwRhiEopVzNHQQwTRPOkJ0jR8HBAwcAALfccsuIBzC5iW2osx7HwMmTQLUKLCwAyEQOOglkFAF/+ZfAgQNAsQi85z1Av6hIswn82Z8BR48CjgN893cDDz/cfzwnTwLPPgtUKsCjjwIDRLVXCmzTRKjrSJMEURQN7R8wDFSXw46mRaZpwrLtNn0RY7y99Ljq/nFQqVR4+aHrYnllBbqoPOiGLDnYyBgt04RRqfDureKcJ0mCQo/IySDSqBGirnvTMBBrGmorK3AcB7Ozs2OP81pBTg42GWkYgopaZAA8ndBj9SY7nTFKMVWttn0hojhG03XV6sG2bRQLhQ1311M+/UNMYJMoWRwH0tlR17S2dtGEEBQcBwXbVi2m4yRBHMeI4xi6rsO2rKHSLIMQBAGOHDmCW265ZeRJYhTy1RX79wNPPw3mOMB3fRfQy40xTYHf+R3gm99sfZ6VCvCv/zXSG28E0FEq9/LLwH/6T+0VNC++CNx1F/CLv7hu84sXLmD63//79gf/y38B/vqvgV/7tfVCMdcF/uN/BC5caD32R3/ECcj3f3/3Y1heBv77f+eEwnGA7/xOkLe+Vbk7bhgj1NfLygUvSRBMKHqQiEkviuOW/bWmwTLN/lGvzES3VZiemkIivlfLq6vYtrDQdZLOChKlGdK40DQNpWIRURzDFxVXruvCFOXKPRuRdQFD+3fPtm1cungRUzMziKJoYuZvr1bk5GATISsUshd0r5tLHEUIowhhEMCwLFWeRxmD67qIokj5FZRl3fCEQAjhdrx9IgKbVZkwDPwwRJqmqinUOhCietCnIgwcRhHP4Yq2spZtwzZNZY4yKg4ePAhN00aPGnRDEABPPQXoOl9197pJNRrAhz/MJ0yAT+Kf+hRfff/4j69//S//MnDs2LptsI98BOyDHwRuuKEVOWAM+K3f6lpai5deAv7iL4Af+IHWY5TidU8+2X2cJ08C/9//B/zYj7U//uEPA0tL61//qU8B8/PAW97S/vg3vwn86Z/y45b4wz8E/v7vQX7jN7p/bkeP8vdcuMCJ0Pd9H/DQQ93HOQYs00RgGEiTBGEYjiVCpZTylbC4jiV0XVdktx/pIITA0HXEW9jzQe53dmYGl5aWEMUxLi4tYfvi4rrJX46cAap8eqP7tUwThq4jCENEUYRYRhEcpxURHNFISdd1kCjC8tISbNvGfEdkNkc7rr4E5FUE1qE16CVAlCtjJrrPEUJQLpcRRhFqa2uKGDiOw0sTTbPVM2FCUL76Xb5sl5MYJGmKUJSAFovFgSs3SSCmp6ZQLBZV74YwDFFvNrG6tgbXdbnBzZA3Ft/3cVREDcZJVbTt5fd+D/iJn+Cr4//23/gk//GPd39jhhgwxlrCxsceAz7zmfbXHju2nhjI/RPCV/fIkNO//3ugh+iLAWBf+AJiMSH6vg/8wz9A73e+Hn+8/f9XXulODCT+4i/a/08Snt7oto+zZ0H+6I/WP/7JTwL/4T8A3/4239exY8DHPgb89m/33m+aAl/9Kn/v/v29Xycgo1MEUOmrYUApRRiGaDQaqNfr8D2PEwPRh6BcLvO6/yGjEZ3eB1uFgV0cGVNRHYKNtWTuBNE03ieiWOQRAHGflHbRwBD3pA5Bq21ZWLp4EUEQqPRsju7IIwebBEop6JAXnyd6CYRRBMMwwMDD2FEUcctjYWS0mSKarMNYt6/35SAGTJgdUQCGaY7k7ChDwo5tI4ljhEL0xcR5DqMIBCLHa1l9V2/7DxyAbhjYu3fv+ieTBPiTPwGefJJHBBYXgR/6IeDee9e/9vd/n7+u/SD5ZGWa7SvvgwdbEQPxuuwKDZ/5DOpvfrPqLTHzyU+iV8PoVNPALl7Et156CbqmIaUUtz7xBBYBEHEzz6aMCGNgzSY+IwgFANz33HModZsYJaH0ffzt3/4tdE2Dpuu448knsVNOFN3Oa62Gl19+GUTToGsapv7xH2H3mVjI174G9qM/2nrg0iU+wXfDN78J/MM/AG9/e/vjX/4y8Ad/0IqW/NVfcV3GL/+y0mZ0g2kY0A0DibiGekUP0jRFJFJatCMiIy2QTdMca2VNNA1EXANbTRJkiePFS5dUiePczAwATgay0YJJ6SKU66IwgCqXSvxajyIuRE4SOI4z9D1B6hM0XedOkBcvwrbty1KOfLUgJwebBBaGberyXtUJURhyQx/xXBiG0HUdoZjIioUCCoVCm2ZhM8WAiiDISeMyVCZIBGHIxZkQnenGPG7DNFUr5yRJEMUxojhWJjfSUEkSkOxqzvM8HDt2DK+54471+dY4Bn72Z4FarfXYqVPARz7C8+oyLM8YJxFPPdV7kF/+MuIf/mEEcYwgCOB88Yttk33WGZEAYK6Lf/jiF9Vk8eDyMso9JtdEiNkopTANA6Zlgc7MdO2QqPZjGHjota/lk72mwVhZAetmQytez3Qd199wA2iS8LxzsdjKCXeMHQAoIThx4gRXuFOKu48cgckYdEr55C0/azlJRBG+/vWvqxv67r/6KxTRh7R+7nPt5GD/fh6tyW4bAOp14EMf4tGbzusrjoG/+AuQF1+EY5pwH34Y4etfD0uYJAFcQyA1Lm0TIyEwDIOnuwxj46F2YSm+lVULWcgSx5XlZbjNJgzhuSCPubOccRIggCKzsn+EaZpKl+X7PuI4RsFxhjq/kiDYto2lS5cwu7AA3/dR2MIW71cTcnKwCaCUgooKBeUn0C2dkKaqDatpGLjUbML1fSzMz6sOa20T0iYJkjqFPXK8bULKLUYiar7BGOxCYTKlbIQoolBE68YexTHSNFU3effv/g7ml78Ms16HnSR4tFJB+YEH1m/vf/yPdmKQxac+BbzznaClEjzfR/rss6j0unEyBqQpvvZHf4SV+XkQALctLeGODEFjGVLIwFMFb33LW2DbNmzHgXHHHVwU2AWUEGgLC3jwwQdbJWm33w4891zXa4oAwP3347pdu9Rjq9/7vaBf+IJavXa+njzwAO64/fbWg9ddBzz/fPs2M9BuuAHf9V3fpf6PogjuY4+BEdLuCyGIBbUshGGINdFrY/H0aRQp5Y14kBGfiUgGXV3Fyy+9BNtx4Ng2tv/hH8IEuhPMIAA+/3ngne9sPXb2LPBLv6RSLxaAYGkJ8Ze/DPcXfgF6sYgkSdYRAlMQAmMChCALAn5fkQZml8PMJ1viuFqrtVUwSKHrZlRUaBlCJB0iwyhCKBYPDddFYZgogrh2dU1TxkiSbF6u+9yVjJwcbAJYZzqhx4UnWxNrmgbPdRGFITRCMD09vd4zvV+IdhOgoh2XCZ7ncU950+Rd8jrLQScAwzBgGAY3SUlTLnz64z9G8vzziAHEhQJYmoIkCYJf/3UYH/oQjF27WoTt6ad7bpsBOPm7v4vn77wTUZJg4fx5vFmUgTJg/efIGG67914YN93Eb1iPPgr6gQ+oCU9OghLk+uvby7FuvRXYuZNPah2gug58z/e0GyCVSjyy8ed/vn7wlQrwr/5V+2OWhW/cey/ue+GF9a+fngb+zb9pf2xuDnjta7ufI03juoss3vlOHvbvAgJAf+Mb8eY3v1nltNnhw6DPPtsWZpdVNwxAYFk4c+YMQhGGfu/Zs/y5rKVvhmylzzwD/R3vaF3z/+f/CSQJKCFIdR2JaSI1DLiGAfqJT6D0/vfz1sNCDGsYBsxDh0A+/WnA94Gbb+bppWF6bwyBLCEYpcJo0ihXKgjCEHGaYqVWUwLFXhbKkwABgAxBkClD0zBURYM0jerrP5L5zlmWhZXlZcwvLsLzvC3vrHo1ICcHEwaltNWSuU/5VRiGiOXKgzGEIrUwMz3NG4ZkscnEYN0tRojfZMklY4xbP28RWQjCUHXEKxWLKrqyob1/+tPAF74AeB6fGL/zO7myXUDXdRSSBIXHHgMlBJFpIjZNhJoGRghCTUP4iU8g+rEfQyC6491ECExdhy465AFQK3wKoJokuOvuu+EUCnAsC/Spp4A07X4cloXtnSr7t7+d584pbX+Ppq2fvAHgN36DT2qHDrUecxzQH/kRYM+e9SvZd78buOmmltrfNHn1xP/6v/K/O3D8ppuw9x3vQPUzn+HpE8sC3vAGXpbYraT2p34K+MQn+DHI78SOHZxI3HDDuuPHe9/Lx9KJnTu5HiMjmCU//MPcO6ELCIDCD/wA3iHSCmmaAp/9rIrmKdGcaGwGQnBpdRVf//SnUa5UsOh52BNFoJUK0kzkjoAruNn589AoRUmUGxNCgN/8TS6MVCfrOPClLwE/93PAffd1Heco0DStjRxomKz4bxgwIT6cnp7m9680VfoDpTmQqdQJ3ytkNDMbMdF1HaViUVU0SMHooGZUhBDoonx06eJFOI4zlNj5WkNODiYMJiY1FQbucsFRkU5IhGJeM00wSmE5Dpxu+a+t9hXo2B8hBEysDDYb0uiJghMDIzvpjHsefvVX2yfMWo2vmF96iYeOJT73OQCAxhicKIIThjz9oOuIdR3x8eP4mlDlE0IwUy7DiGNoAIwkaf2kKTTGMH3vvZi++WYkUpz27nf3FtFlywYlfvRHgcVFsE9+kpMaQoDrr+fE4Prr17/eNLmvQKPBJ6rZWWDfPtC1NT4RdpvA776b/wwJuns3z9EPix/5Ef6TJJxA9CqVBfgkeuONvGrh1CnAtjlB+s7vbL1Pfq+2beO6jk99av3G7ryzTW+g6zp/7Lnn0LauJQSxriM1DKTf9324eXYWruuCHj2KWJaXUgpCqfps7SBAYFmonzmDYqXCJ5S//Mt2YpDF7/4uF0F2Kz0+eRI4dw7Ys4eXdvYDIW1ag61OLzDGVO5f0zTMzMxg6dIl+L4P17Z5RYEYD2UM+ibcszr1UPIxSQbkooJSyj1geqV1xPst00R9bQ1pmsJ1XZR7+Ydco8jJwYTBMrXIXZmo8C0IwxBpHKNQLMK0LBimiSCOL48xxxA3mK0KZbquyxXKur5OSbzubDLGS+jOnOFh3G717f/4j+3EIIv9+xE89hgu7d2LZqOBuePHsZgV0YmboUEpzDgGA/C6hx9GqVSCZVmghCD5whfACEFiGEgyE4DGGMy3vQ2G1J5oGrR/+k/5Cvmv/gqQaRLHAf6X/wV4xzu6j/Gf/BNufDQKKhXgda8Th8HUpKJdzpXRIF8OuSpeWAA++MGuL5GpLnUF/sAPcELxx3/MqxfKZeBd71LH3rb5H/1RsJde4joTSQgMA5QQYOdOFO++GzIBoBcK0J9+WhECLRsqD0OEhoFnDh4EPXQITqGA7/zc52CiR2SLUuCzn+XEUOLQIeA//2fuNimxbRsnqqIKoBPdShmJpoEN28lwTDCgrcRawnEclCsVNJpN1NbW2hvDbeY9oke5tW3b0HSdl4yCp2yLxWL3XiIyKkopdE1Ds9HgfR4m3OnyakdODiYISin/svZR+Pu+j2aziSRJUBJNlQqOg1qtBjDWLqrZYp0B32XvaghZcbFZaYZIlIqBMZRFbTPQo3Tr+ee5O1+2pa5tA//u37Xb//7t3/beIWPw//zP8czb3w7bcRDt3o3Fl15S+6Qizy/HQSqVNpEe3vMe4PBhpC+9hETXkRgGYsMA1XXQ970PYZoiFDXZMtSqv+Ut0N/2Nuj1OjRdhzY317cZkqp4GfNcy1bNROaFr3QMOM51q+U9e7gfhABjDDRNQdMUKaVI5d+EgH34w8AnPgEqdRm6DvKa10D/4R+GYRjQdR26rkOTkZQepkPG/DwefP3r4Xse4ijiBDA7gWY0DQxAevhw60a7tMSFo50T3IUL3JXyv/7Xri2JtS6VAASbW70gTY16oVqtcsOxOMZqrcadQzd58dCpP1CPCzGoJgTAVEQDir2sl8FTNaZhoNlooFypoNlsolqtbur4rybk5GCCUFGDHje4OI6xurqKJI5Vl0HbtrknuVgBrIscbAUxEGy8q1Cu68snn2aQTpAM6N2FTo7t4kUeru3cfxjyvPt//a9AocB9I+p16EDrtVIUKG7iFV3H93zv98KWpOyJJ8BqNRU1aEN29SfxwQ9CP3gQ+qc+Bdt1gT17kP7AD/BIQpKo2nfZ4CpJEt5gRwqn1tZ4qFbXoWsan5wyf3eu2EaFMot5teRT5bUqrHolCaCSCIhJuutbZ2eBn/xJWIRAB6CLlt9dz83P/RzXb3ROjrYN5yd/EhXRjKhSLgOWpfqntEXXGIMG4Hi9jkN/+7eYm5vDa/7+71HstXjwfeDv/o5Hi7I4fRq7P/1pLKyscDL83d+tNB4aIaCbkF7IphF6QdM0zExP4+KlSwhFE7TCFvgGZKtSOiF1CJ5ode26bvdGS5n3R5nXlkqlLW8Df6UiJwcTBJOuez10BkuXLiGJY5imiemZGXXBxnHMm6voevvqbqtu6F3q3Qdh0mkGz/d5fTylKH7mMzz0Wi5zkZpQ5auz8T//Z+/9Uoql/+f/wfP33otms4k3GgYWsjc5QQrktozdu2Fkbxy//usIfuEXYLlu+w38He/oHd7ft49HLAR08SNDrWlm4krTVP2dpCkP2TKGNEmwLkAsxipV8VIVLv8n4u9+EQFJDq74G15mQqVi8qeUtv7O/I7juK8YT54TXdOgGQYnWprGV9myLHQQbruNh/7/5//k16KmAfffD/yzfwatUIDtughE46TCa1/L01ddQAEU3/c+7PJ9LK+swDxyRBEORrq0o37yyXZy8LGPAc8+iwqAsjTc+su/5M6QN90EgH8X6YT8SHqlEXrBsm1Uq1Ws1etwm03VEG2zoQFI0T2VI/szeL6PNEngeZ4qaVUQ92lNEKvQ9+EUi2g2m5iamtr08V8NyMnBhKBSCl2EQkmSYHl5GZFwQJxfXGzruhaHIShjLXa71ekEsZoedX9taYYN3BDiOEYYBMDRoyj//u+DZMO5zz4L9vDDwA//cOuxo0fXbyRTJugcP46Fd7wDt992Gyq33859+Xshu10ADV3H37/znXhkZgbbT53ilQ3f9V389wYgJ/bOiIgMgydZ8iC728kQ+aCNd5AH+TchBGEQIElTGIKMSNW3zN9vVhtiIFNimLk+aMfkLzURgbBp1nUdcQ9b587tayLiYghXRvl3v7bUI4Xg5+eBn/mZrk9Zto0ojnm/hf/tfwP59reBlZX1L/yBH8D2PXuwXf7/x38MJvQr8pol4rvHCIEXBFg+eRJzc3MofuELIKIiQ62WAR49+PVf56ZOmc9+EumFcUoRq9Uq//yCAI1GA5WtKAuUE7scb8f9hxCCYqHQu5IhK3AFEAYBnGJRlTV2jVxeY8jPwITAwrDrBBsL45bA96EbBubn59uIAQDESQKWJQfAFaMzGAZtIrERtQiMMTQ9DyxNYf/3/w6zW573W99C8thjOP/AA1hbW8PeNEUhcxPrzPWWp6dx3z33tN7/Qz/UvUTuR36Em/VkcPjIEdi2jYU3v7l7ed6EQQiBLux5s5DRhFhoWJioIZd2tXJ1xwSJkGHgzuiD5/sqvZH0mnQ7SILyuCAtAy/X89T2dMNoJwAZYjZOFArg0RV5HcpcuiI5mgYNUH8DnBj0IwGbDalRoIwhTFM4v/M7vALma1/j6a3t2znxzBpDAcAdd7R5P0hDK/4Pw4ndu/HKM88AhOBdn/kMDGQa4GS/p2HIfSEefRQAWn4Pjz0GfOMb3F/h3e/m4xiAbLRgXMxMT6NeryMWpkRzWyCszqYXpLNnZ5M76Z4YBIGqZChl9EzyemvW65jftg1xHKPRaGCmhzD0WkJODiYEWcKYvTiDIIDvuvB9H4ZhYGp6umu73zhJQMFLa8ZZwW8YE9APqDIjXV+fpwW4C93nPsfLCO+8kxvkAPCCAGmaQnvySRRdt+u2GWNIvvIVPEMpisUi5vbtQ+G551r7zo4DAN72tvYNfO/3Am96E/Bnf8aFX9u38wqBDvFRlCQ4fuwYbrnllssehpekYVBLbkkasuQhuyrXwpCH2A1DhdXXfdYdofZuV4LsJqg0E8MeBzLfiUyaREU4xCRvxjEM0X+gMqCkbJBQbqtgWxYSYZ7l2DYnoT/0Q/3f9P73c2fKblUGlQpu+8AHcHMUYWVlBcYnP6k+m2zfE0kEyP79LXJw9iy0D39YeTkA4ETlta8FfvInuw6FoXX9bDSCZJomKpUKarUaGs0mKqKiZ7OhEYKUtRo/dbt2bWF3LR1Xm66LUkfJeJIkSMV17fs+yuXypvayuRqQk4MJgKapSilIBJ4HXzTFMUwTxWIR5R5uaUkcc5+DrS5j3ITcoFITZyehT36S16PL/x97DCgUkHz4wwjKZYAxFI8dg5YdT2bCIgDsNMV3vP3tmK5WeQ37Bz4AdCMT8/PryQEATE2td+XrwInjx0EpxU033zzqYW8Khvl0CCF9iYzUNVQqlbZQaTb3nu3bgOxjmb8jEdEpOA5KpdK69ATk/+JvVeEx5KTDKEW8BRUVk7ziTcuCLtI2sdASDcT0NE8J/Of/zMsvJW66Cfj3/x4AFyVv376dk/Y05Q6Z6gBa34nTzSaCw4exc+dOFH/lV0DimDfNyp7zp5/mpbPvfa96SEZ4pG5jUqmlogjLMwArtRoW5+e3pEJmmJSKKZo3uZ4HmqZoiEoGOT5N09Co1TC/fTt830ej0Wh3IL0GkZODCYBFUduNMRKkIEkSaIYByzS5p32XL6EUqwGcfW951ADYHJIg9Qhf/zonBx3HxXwfzY98BPEv/RLq9TqSMMQ2GSrPvB9olWypqIth8GqF3/kd3hqYMX4jvfdevkoa4xxSxnD4yBFcd911E1dcj21Ws8HPJTvBd04Ao+oNJHE1R+yOOTKGqZbZyOYxOYJACIFl20iDAGEYDr/SvO46Tg5qNU4QrrsO6GJ+lt5xB3RRWgsxbvkDAKfuvRfnXnoJy3/zN3it56nvCUTPCYW/+ztFDlTUhTHuD2Ka3GNhAiAApioVNF0XaZpirdHAzFaI+2Q6ipC+JEH2ZXA9D4xSuJ6HcqkE2ap+dXUVu2+6SbVzjqLo8vjOXCHIycEEkDU+SoQ6VgqvLNOE4zg9BS6yUkEjZGtFMFugKAYA8md/xsse07StfjuwLCRJgqOf+ATO7N6Nhdtvx8I3v8nf07kNSnnuNjtmx1ErrUngwoULcJtNPPjggxPbpsS46m0ZQh4XNBO9uSo8DkbAuJP8pK96y7Lgi+hBmqajpaOmp/lPF6ytreGZW2/FW/fvh5H18pB417vw8NvfzhuH/d7v8R4tvfYj9CLS2hh/+qfc/0Omh2wb+MEfHN1sqwMEgKbrqFarqDcaaDabKGxBW2SVchki1SQrGZquC0opPN9HUXS9pWmKZqOBQqEAz/PQaDQwNze3qWO/kpGTgw2CCjEhIQQ0SeA2m6CMIU1TWKYJQ9f7rkRlWZZxOVIK2VzwOBPYygrw//6/wIED/P2lEvA938Nd6iSWlvgEJ2r2kSRIdB2eaSKlFPsaDdz1Xd/FG580GtxNrgOkWATe+95N7WN/+MgRTM/MYG4TQonjRA4m0SpbRQ1Efv9Khjw7w47ycnUm7ISmabBNs1XWOIH2vxcvXsTXv/51lKtVJB/5CIw//mOkzz0HFsfQFhb4RC5cIE3ThLlrF6/qaQ2qTdOQADh76hQWt22D+cd/DPz937fvMAx5yaam9XbqHAGO4yBNEri+j9VaDdtEc6bNhExzDXNNSDfERr2OJEkQhCGvYgCwfOkS9t56KzzP4y62oxK+VxFycrBByKgBpZSH08TFKaMAhVKpb6g0EeSgsFXkYFJlkqur3CgmK05rNvmq5MwZsH/5L7GysoJZQTxkuRYMA16hgJQx2IyhOjvbKhP84R/mjnd/9mfcSc6yuCXyD/4gIEjYZqDeaODC+fObEjUYF5M4Umms9WqLGgAYn9BuAizbRhhFCMJww+1/jx8/jm984xvYtn07XvvQQ3xi+rf/Fl9/4gkQQvBwF2to/JN/Avz1X7efD03jWiZCUNu+HU99/eswGMO7Pv/5NtfPNvzZn22MHGSOuzo1hVC0QJfNmTYbhBCQzpRKD+iahkKhAN/3EUYRb8RkWajXamCMwbIsRFGkxInXInJysEFQMTl6rouUUt5whBCkQmBoDGCdsvvgpuZxB2Gcm+x/+2/txCCLr30N/zA9jYZp4pGFBWw7d059YaXNsMYYSvU62LvfzcmD/EK/9rWqkkFC830uzNokhfqRI0dgOw52dZQ1TgxjnF8yZklgFvRqSimMcY5GtZXeLHIpW3+zJEEoKxfGwLe+9S0cOnQIN998M+7JluKCpyt7RiVkxO5v/gbSPZKKKhBmmpj+pV/COy0L9Y4On51twBEEnJTLJlCM8fTDK6/wfh3vfS+wsNBz/Gq74Pn96akpLC0vw/c8eLaN4oTaV/cD0fWh7hPSV4ZSijCK4AcB9yHRdawsL6NULiOKIgRBkJODHKODxjEgeonLSd4W+SpCyOAQI2O8jLHT42Cz0OPm2POWubYGHD7MBUudE+f+/d23JXwO7j99GvixH8Psd3wH8LM/q3ogeI4DRimcJIFx773A7t1tqvhuN3spGNqMW3uUJDh+/Dhu2bevb4+DDWGMVe5EIgdXQsOlITHq8Srx3QjndTPPwrqyxhFAKcWzzz6LM2fO4O6778aePXvWvSaOY1R6+P4zxoAf+iGwXbvA/vzPebpP10HuuAP48R8HpqZQBFAUkz5tvRFAyy+AgN/TNIAbjf3ar7X3LvnqV4G3vGVg1Y/cruM4qJTLvDlTvc4XS5usqyIQltKDrgvxvLSvT5JECRSXL13C3Pw81tbWEEURkiS5Jk2Rrr0jniBYFCEKQ4RBAAagXC4jCAIAorZ2wE2ZAby2lrGu/geTHewIt1/X5T0KTp5sPVapAD/909xWFmiv05ahPEKU6HDWspTtMT76UeD3fx/xkSOINQ0wTRTe8hbgn/0zAOuV9J0kQVUubMLK78SxY6CU4mZhRXulYCPNliQUObgaIgcCoxzxqKLEzdQojFXWCCCKIjz11FOo1Wp43etehx07dnR9XbcJqrMkEW94A//JQKdUpTrxwAPrvkcsux1C8PfPP4+bbrwRt33kIyDdhJBf+Qpvq/2d37n+uS7Xa7VS4S6FIr2wsMkCPzIEMeh8tuA48DwPqRAoYnkZvu/Dtm2EwrmzUqls3qCvUOTkYEywJEHs+/B9Hwy8xpcQgiRJQAjhCt0BE1oURWDgN+8rRvRCKfALvwDU6+2PNxrAb/wGwl/7NRwLAtxg23A8r40QtOHee1t/z8wAv/RL8Op1sDiG4zjQuoQYVY28EBbJm5a86QxcDYwIyhgOHz2K3bt3b66iesRJfhLEAGipt690MWIbRhjryBULm6hTGKessdls4sknn0SSJHjzm9+M6R6VCwCPHChnVfHdoMO4kWoaSJry8+Q4wMMPA0891fWl4Tvfie3btyP+3Oe4hXmvbX/6093JgUD2DBPRnOnSpUsIwxDNZnNTw/RZl8ReZLDzcRnldQVBCMIQp48fx/U333xNk4OrZ0lxhSH2PLiuC8oYHMuCbdvwfR8Ajxr0tXYVJWYypbDpIatRbohf/ep6YqA2w7D2u7+LA/v348Ib3sBJQbcbiONwR8IMwihCEsfK0nQQlHue+N3p4jcJnL9wAc1mEzdvsukRuQwpBeDqjByMglFJz2ZTJFkTL8sa+2F5eRlf+cpXQAjBW97ylr7EAODkQNN13n9DRguGPP62z/8DH+CVDtn3ahrw3d8N533vw73334/X6Doo0DIy67x+O+8Pzz4L/Kf/BPze7/G/O3L+lmWhWqlAIwS1eh3RCA6b40I2JusEQ/eSR03TUCwUAJFiOH/+PKIwVAu+uFsU5VWOPHIwBtIoQrNWQyom9kKxiDiO26MG/SC+mLHQLFibuWrtNTGtrXEr4V27+GQubxaPP9799WKVMre2hu/+7u+GaVm898DnP9/+ukIB+NVfXTcGFWERXufDQjUUIoTnSie4+jty5AhmZmY23QntcmnqryZB4qiljGPtY5OrG7JljWEU8cmmC06fPo3nnnsOs7OzeN3rXjcwypCKxlyGLAceFaSjGdwHPsB1Ay+8wA3F7ruvrY8IEcZFWcMlIkprGSFgus7/TxLg//g/+H0EouT4xAngM58BfuVX2uzJy+UyfNEEqba6ivm5uU25LqXxFyEEhDFQdLFX7wFd11EoFuF7HsIowtHDh3Hjnj3cBt/3rzk75ZwcjAjGGBrLy0iShDtulcsAIS2tgW23M9Y+k1kieip0NmLaVJw7B/z2b7dbt+7axQ2FKpX2scrQfiZ1oGkaNFl2+f73A+95D1dJ1+vAPfeo+ussgihCmiTQNG2s8L1qApS5QWXHOA5k+eJDDz001vtHwagr3El4HCgXPFwd5GDcz3Ekv4OO+v/NgCxrDGXtfMdnf/DgQXz729/G9ddfj/vvv7/ntcHQmugisWo1NjA5yR4ECrbd9bsKgH+nv/Sl9eMBAMZwfn4eL33+83jT176GwoULrWtVRhlcl4sZf/u31fuJpmF2ehoXlpZ4cyPXxdQmhOql3wHE77bOjRicmjQNA9RxEIYhlpeWMLe4CNM04fs+qj0Eoa9WXAV3jSsLnrD6JYSgVC6DENIeNRhBWCjz6pumN+j8IjQawIc+1EYMGMCFhx/8IA7t34+XZme5wJCxlsgwi1tuaf+/UuH+BP/qX3W/2TCGwPfBGOt6sxwG2RIp+b+q1ZZjHHG7Rw4fhmXb2Llr18jjGRWjrFg32v5aQvnmXwUGSFlsaqpgC3wRDMOAYZrQNA1hxjmVMYYXXngB3/72t3H77bfjgQceaD9WcS+Q3TVlt00C7oUCYGMr11Hssmdnge/4ju7PFQqwfuqnMFupwDl6tK3ktm1iPn8euHix7a2GaWKqWgUhBI1GY9PSC+siBZnjHua7aFuWKnM8dfw4AB69ibp1jH0VIycHI4BSiqBeVwJEOakHUmvQGTUYYnsbbZfcE92+BJ/4xDpvArXnRgPhpz6F4MEHkU5NdR8TIcCP/uhIwwiEglvX9bErMojQNrQ1CJLPoQtRAPpOBGEc4/iJE9izZ8/mlS9uANekGHELJu6tOhO2ZYEQoiaTJEnw5JNP4sSJE3jggQdwm6j4yVYbpMKfoFvUSOa7N6pNGqmk9cd+DPjf/3dOFDSNRxpe+1rgd38Xs9ddhwcEqW7TJohrTkX2suXOa2vA5z6H8uOPwxFEpd5D27RRdF5JWgcJGwaObYMQAs91sbq6CgBKU3atIE8rjIBmrQZQqty0AP7FTdJ0sNagDwnYsht4pokLIEKFacq/3JqG22s1aA89xFsq/1//F3DsWOvF09PAz/zMSE1aGKXwgwBgDAXhXz4OslUMVJz/rq9rvaF1g5I3rsy+Txw/DsoYbrrxxrHGMypGMuqZ0D7Tq0yMqI571GtkBA3KVmk/TNOErmlIkgT1eh3PPPMMPM/DG9/4RszPz6sIATpX3T0gW2RvJK3Ad9KhPRiEt76V/3RDR0kiFT9ZAWM6Pw+dMeC3fgv41rfUa6umieDRR+G/9a3cVXLCZdzdqlg0TVPfiaG2IaLAfhDgwtmzmJqaQhAEqIrIx7WAnBwMiTRNEYkWwYVCQd3E2qIGvS6aXnnFzTCpeeYZbmG8vMw7rj30EPDP/zm3Is6uvEUHRNnFDciEkaSosNnkAqOFBWBxceSh+EEASikMw9hwdzNCSOumOszrW29sIwqUUhw5ehS7r7tu0xvCjIUJraDleboaDJCAzOd6hVUgjANCCCzLQm1tDS9+85sgmoa3vPWtKJdKqoJkFMjIwSS0SZqmcW+VjV4XpRJ3Ulxaym5cRUMSTcMXjh/HW/7iL1A8dKjtrVYco/j883BNE/W3vW3i5KAXYRz13JumyS2gowirq6uYm5tDFEWb70lzheDqWFZcAWisrQGUwtB1xeCHjhoAW+MF/6d/CnzsY8DZs9zZzPO4aclP/zTclRUsb9vGCYmoPFBkRn5pOsV55TLwmteMRQwopdwcaoNRAwlChNXrGOdQpR4IwaVLl9BsNnHTnj1XROOeTkysjPEq7aswzlVypREExhhWV1bw/HPPQTdNvPGNb0RZ9g8ZA0mSgGHjaQWJiV0TP/uzbVUOVJADAiD6l/8Si5UKigcPdn1rdXUV5OWXEYUhNx6aJHp8r8chyo5YVK2triJN02sqtXB13TkuE5IkQeC6IOBRA3mJDRU1yKLjS6m65k1idVev8xKiLukL1mxi5bd+C8/fcQeYrq9vTEIIjyx83/dtfBwCfhAoD4dJ9ESXX+yNTp6nT59GtVLB3MxMV2fGy0kYJlGlkN0WgJE0MJcTarxjvPeyh3kzYkJKKY4ePYonn3oKc3NzeOC++zYcvUmSBASTEy6TSS1UbrgB+MhHgLvvBhwHzLJArr8e5N//exQeeQT3C7LAMnoECSNNUVldhVarod5ojBVRGQUqpTDiZ2GYJnTDgC98bQKx4LkWkKcVhkC9XofGeP8DwzBAGVNRg4HlednJuuOiUvnGSdzAP/Wp1j6y26MUFMCO8+ex/T3vgfbAA7zEKCMGIouLYL/0S7zmeQJIKUUoKhQm1mxlgOvZMEiSBKdOn8a+fft67KKDLPAdbjzqMeTrJnnLudo0BwrjnOutiMplkL0G1d/i90svvYTDhw9j7969uPXWW+H6PiLhCjou4iTh0cpJkSDhHTIRx9GFBeDf/TsAfBHC0hREHmtmUcCE1kFHS7BYXluDZ9uIowjen/85yl/9Km8fPT/PO7E+8MDGx4f2CqCh+i60vxmObcP1PKytraFQKCAU3Tdf7cjJwQBEUYTAdeGI8Li8rIaOGmSf60ESRv7KnzoFHD8OXH89Z+8Ab7aSIQayFAqaxsNDacpDgDfeyJ3MzpwBTp/mLZLn5iZ6c/U9j/s3iJKgSUCe443c0M6dO4c0SbB79+7h9sl33PbYpKyNu+6vSzXGuFCag6uEHGzUBGkzP5euZKADaZriueeea2+eJMy/EuG6N25aIEmSiXuhTCx6kIG856hr7v77+f1IVs6gJVokAJhpIjRNGJ/4BOq1Gopra/xedfo08Du/w1tR/8iPjD6Q7LGJ0lDS6/lBxySOxzQMBCJ64Pt+Tg5yZKIGlgVdsO04ilTUoK84ZYDIauSueadPA7/5m0Ct1npsehr4xV8EvflmaE8/3W5clN1up+HIrl38JzvOCSBJU0RhCDDW0yFuHKzTR4yBk6dPY2ZuDqUN5H9JJr1BMNnU0CSJwaaIXTcTGziPBBiuQ+Mw13mGoMnI0SBEUYQnn3wSa2tr7c2TCIFpWaCi8dC45CDewHt7QhgETbJfCe2832kaT1XKqGYGDMCBhx+G/T/+B5wkQaxpaMzMYEqUDQIAPvc54J3vXFcZMQjZagXaJVU3ynHL69G2bdQbDbjlMur1Oqanpy9/OmuTcXUsKy4TfN9HFAQwGYMjJjoGtLshDooa9PILALqW2fUZDPDhD7cTAwCsVgP78Ifx+SBAouugvfb5Xd/Ve5iD9z40ZNTAsu2J3tA0dC9RGhZBGOL82bO4/vrrJzIeec5ID3OZTv3CMDeSSeUyaSa/erVEDjZKUEe9huXno34oBaUUNPPYMGNqNhr48pe/DM918eY3vWldV0XLMABhlDbu57tZLYOVyHcS6HWtf//389V/dqFQqQD/5t/gjp/4Cdx07hzKq6vcGKlaRdJ5vf7FX4wxFD6WXtVNI38K4nvk2DZWl5fRbDavCWFiHjnoAcYYGo0G9CSBUyhAF6V0k4oaZDEUA/3TP11nYASICTOOcf+hQ4h+9mdR+J3fWb+6fvBB4F3v6jeAiUQPElH2M+moAQCVLhl3pXP6zBkwQnDdFjgiAus/U4L2sQ9qU70RTFToukUY2+dAvg3db/ryvDLGzYYmKXxbXl7Gk08+Ccdx8KZHH+Ulzh0wDAO6piFOU54eGCPNFkfR5vj6j+p70AfZbayLVn33d/OfMOTf48yxaHGMUhCgWa0iMk00ZmYws7zcem82kiCFjQOEmdIPpVuDJUAQSU3r+XyXgwPAG0g1azU0Gw2srq5OTk91hSInBz3geR6SKIJFCGyRXxopagD0v9ExNlpjnBdf7LIJpsQ9Cxcv8jbJf/AHwF/9FXDwIC9FfO97uTZhC+CJ5kqObU/cEloTNsBDf6E7cOrkSWzbtm0ilRNjoUeEQYaxaWalutFJXXYEvBLdH3tiAxOUTPG0+XiIv7Opn3GvnW44feoUnnv+eczNzeF1Dz/c26CIEJiGwX1S4nisSX4zff0npT1Q4ft+1263xVS1CqyuYmplBUvbtqFZqaBUq8ESXgz0xhuhHTgAfPzjqsETHIeTje///q67YR2/u4FACCOHOXbxOtm58dKlSyhXKti+ffvmWd9fAcjJQQ+4rgsjTVEsFFTuZeSoQT/0+xIdOAA8+WTrSzA1pQxG5E2QQoQF5b7kRGAYXOk7AiaxvoyjSJm1dFtBbRRyNTKKy5lE03WxvLyMB7egydLIEKHd7GeQLevrLDtt87LvZa51lZUxAlh3TNlvUHaC7/Y+GTXozC93np1JZdcPHDiAl19+eWDzJAnLshCGIZI4BmVsZB2I63lY3L59I0PuDUKgk46mTGNAWpuPTGzf9S7gj/4IThDACQL4to21uTnMib4MLyQJ7v/1X29vex4EfAG0ssK7S3aOBcMZHg0dNRG+MABQcBzUm03UazXUajXMjaiHuJqQk4MuSJKERw0YUySAoeWtveGoAaBuEm3hZNfluoJsx8S/+RvgkUcQ3nMP7PPnIXsxqK1TyonBgw+OfqAThBcEPGrgONA2gU1Lhj7O6u/UqVPQdR07O/LBW4mB10uPlMO6d2U++259OYgMnTOmyME6YV1mxbQZqYe2cWWu126Py9er1T1b32Z30ApQ/b3JJY2yedKJEydw++23qx4Jg6DrOnRdVyXQ9gjRqzRNEYbh5NN0WYhFxkbOHBMVASNfT9/5ncArrwDPPIPKygqCXbsQFIsIHAf0/e/HrX/yJyCZybkNX/kK1zN0CIyHvUfI6omBI85+HwlBwbbRaDbhuu6rmhxcPUuLLUQYhtAYN/CRl0WcJJOLGoBfwLKqQK0k/sN/aCcGEk88gePHjiEyjPaVpPzS2HbPENtWIIwiJHHMvzibVOKjCaElHfEmxgCcPHkSu3bturwhwAHXxTh5Xykoy/5A5FvlihDyOZHWUO/JpDnWifM6Jmsp2Ot8nnb5X+kqsoK+rDiz4/G25zLHNA76vW+jlCGJYzzxxBM4efIkHnzwwaGJgYRpmpAdXEeBXJBsan57AsLVsSMHAPBTPwX86q/CvuMOFKpVaHfeifp//I8ovvnNKDYaXGTd6/vxhS+0jwOjLSCGPu7McZmGAV+UNL6akUcOuiCKIhDGYGQYvuywZomOaz0x4pdDk6Kg48dbObUOUEqx5+hR4KMfBfnoR3mLZYB/YW64gZuQXK5cOuO13Aw85LZZ6vhsNKJf86VOrK6uot5o4O67796UcQ2NPtfF2DfVXtsbMSrQ73Wq6ZXojNn2XOdrhx9i7/1t5L0TEtd1wvd9PPHEE/B9XzVPGhWWZSEIQ8QjphaktfBmpOrasEFxokzpjH0d33QT8MEPohrHCC5dQkwpPN+HpERUbHfdt15owABOClIZid3ECJJlWUgaDbiui3hMHcnVgJwcdIAxxiMHlPIyJEBVKQCA1e9CGKFCoe1LSAjw9NNdt0cJAdE06EnCPQ1+4zd4WePFi9ydbAI3DaljGEcpHkQR0iSBtolRAwld03i52Qjk4NSpU3BsGwsLC5s6tkHoe2YnfCNT/hlXi+bgCq6uqNVqePKJJ6AbBt76lreg3OkXMiQ0TYOh66CUIh6heY/veZx4bzY5AF+ojK09EJGDjfpqmKaJcqmERrOJeqMBp1iE5nnqeQpAE/cqBoDcdx/wm78J9u1vI01TTmLvvptHI4aYtEeuXABPExmahmajAc/zMDU1NfJxXg24Su4eW4ckSUCTBDoh0AU5iOOYNz7RdfVYV/TyGOgCevYs8Pzz0PbvB9IUpFptK0FklIJ1hljlzb5Q4BUIk7xhjPOlZgyBsEmeRHOlQZCT3bDlaJQxnDp1Ctddd91ln3g2bx3TZV9X8GTbDRvpq9CGCR/v+fPn8Y9f/SoKxSLesgFiICGjjjIKOQw8z9s0Hc869KqoGQJ0gtdcuVyGLrpHeu9+9/p9EYIUQKNUQvKRj4B961ugov8EKAVeeAH44AdHIt0DX9mR+tJNE57rwssQl1cb8shBB5TewDTVzSoSBiZGv9D9sCtv1wV++Zd5S+XFRZAwBP7kT8De8x7AMMCShJOCzlVfVky3iSGzURDFMdI0habrW9LGVNM0LiIakhxcvHgRfhBg9xaVco6LSYbCs3qBqyZyILHBiWWS0ZmjR4/ixRdfxI4dO/Dggw9ORK9iintKQinSIaNfnu9vekQui3FTC5OskNF1HeVyGWv1Ohr334/i6iq0v/u79nHu3Ilw505Unn66lUrIYnkZ+Id/4ILHASDg35W+0YOO+7tlmvA8D57nTdSj5EpCTg46EIYhCKUwM1UKSUZv0BPDXhwf+hCwsgImtk8AsDQF/vIvcW7bNmw/f76tdEbhX//r9n1NmCDIcrBRoDwfBukwJoRRIwenT51CpVzGzPT0Jo5q45jkzSVrYXu1kIOJRQ7QZ3Ib9vwyhpe+9S3VPOmuO++cWESCEALTNEGjCHEUQR9i0vc9b3MrFTow7nUoHSUndRcolctwPQ9xmqLxrndh6gd/EHjsMb64evhhYNcuzP3MzyChtKUxkGOX/z/22FDkABiicqHjvFiGgSalaNTriEZIE11NuDruHlsExhiiKIIOKJGJTCnohPRePQw7UX/rW7w2F5n6dcZ4GRFjWAxDkB/9UWhTU60Uw+7dwK/9GnDzza19bUbkYMSbQpIkSERExdmiL4YujJCGIQdJkuD0mTO4bsgmS5uNXmd30gI6ufq5KtcxE5iEN7JyTdMUX3/6aRw5cgT33HMP7rrrromnKizLAtE0RENWLXiet+VOfOPoBmT11aQIqUYIKpUKCGNoNJvcVvmd7wT+6T9VPWFoFCntAUWrYkLdH0esDBll7LquQ9N1RQ5ejcgjBxlEUQSWptAIUSE/+cGbk6gGePzxtn8ZAJKmyshFr9WAt78dePvbu9cdXyHpBIBHWGQPhS3JhwIgug4wNpQR0rlz55DE8dAdGC8XNqTw7oKRXDevEGzFVT2IhIVhiCeffBKNeh2ve/hhbN8kTwzTMKABQ3dq9HwfhS0mB4SQ7tHLPljXdGkCKBWLaDabYHGMRqOBmZmZ1v4oBbv5ZuD559VjDMLnA4Ic793LnRVfeIF3pd29G3j/+3ln2i4YGD3NRGylwLTZaCAIAlQ2qEe5EnH13EG2ALJKQUYNKKBWx33JwbBfiOw2hPc3zUysDMCB/ftRW1truSGOs58xMMqWGaWq8+JWRQ0AHr0BGc5C+eTp05iem0N5Ax0YtwKTnhhV5GAQOchMlt3G0OllkKap8jrIvm+Y8ctruVfpoxrzZbq+m40GvvKVr8D3PLzpzW/eNGLAB8I7NWpDRA/CKEIqXFq3FKOmpDK+FZP+DKeqVRBwk7VY9JZRupr3v3/dPVERBMaQPvUU2Fe/CjQagOdx59kPfxh44ome++v7vclc+5Ic+L4P13Un2rPjSkEeOchAihFVSiGKeKhMOJx1RS8h4oULwO/9HnDsGP/fcYDXv169R0sSEE1TXcgYgObCgrJmdQoFbFtcxLbt27GwsDDxfu7rMIKOIYwiUGEStZU1vjJCIc12eoU/gzDEufPncfddd23Z2MZFT1vgIW60sh9D9nVUhHdJn21ndtL6s8dL5JaJrMQRYdy2zfTfCx9Xt913eb/8m2T+H2W6kau/zvf0GuPS0hKeeuopFAoFvOlNb9qSkkHLMBAJzwPmOD0/Z18o4bc6cgCISVL06BgEKklj1tBtQnAcB47jwA8C1Ot1zM7Otibi+Xng534O+L//77YUAnMcRJUK7IsXWxVeWXz84/xePOpYO+71hmGAEIL62hqiKIKzhcLRrUBODgQopYjDEDZjbSWMwAAhYjcsLQG/+IvtX64gAB57DIFpwg5D6GnKb7SEINU06Iyh8jM/g+/ZtQvLy8u4cP48zl+4gBMnTgDk/2fvu8MkO6rrT73YaXLenJVWqyyhYKJtjP3DNsEm2AITTDA2GIQkssgCJCERbIyJRgQbA8Im2oCMDUIorrRZm1ezu9MzO7nTy/X7o6revM6v48xo53zffjPb0/1Sv1d16t5zzyXo6enByMgIhoeHWS6uWSdeKyiFYRht1RoIEL6iEd31yqUzTp46BXhe2zowhkZhuLZw1ROcrEMQNeGIGIRfUraM0gqlSGkpwlAKhWTAN5QqlZYrwMnRUTz8yCMYGBjAVVdeWb55UpOhKAokXqpXqVNj2wyQyiBs5UKzTbwK0dHRAcM0YRgGjFwufzy++GLgy19m0YCTJ5k26/LLoV1/PSghvidCHhwH+PWvgd/5naJ9EQBUkoo72wKMaASuhyxJkCUJc3NzME1zhRw8VeG6LluFyTJkQvyUAlDB+Khc1OCf/7k063ZdaJ4H76qrID/yCCR+A7pDQ5Df+EZg3TrIAAYHBzE4OIgLwRpAJcfHcfr0aezbuxd79uxBLBrF0NAQhoaHMTgw0JJe7+Xgly9KErRFUOhKfEXjVWjdOvrkkxgaHl4yCmJ/8hIDTiAMW9gsSKBu1bgwQFpGpVWN+DKUij4U/p9yMkkCUY8D+/dj/759WL9hAy655JL2lqLxqgXX8yp2asxlsyCELNp9HNYUqe6+CiGhaxoimoYMD+GXXKxdc83C77y3CMArEEpF4cq40QIs114ySVCgw5BlGZIkIZNK+Z1Qn0pYIQcBBFmmSCkEm6aExsGDxa/xBkkSAMRiwFe/Cvn4cRDbhjMyAq1M6DAej2Pzxo3YtHEjXMfBmclJJMfHkUwmcez4cUiShP7+fgxzstCRSNR83rXANE0ATIi4GLW9pIrXwWJ3YKQonRKgQFHqptaQeRg004ymXfBTCc065oLrLPpICJKw87HH8OTx4zjv/PNx7jnn+CvCYK+JVkNV1aqdGv1KhSX+XTpcVN2K3iXieYonEsjkcsiZJjqqCTkliS0c+IQttiEBC9dy82bgpz9lpZGXX85s6Au3UUVHIHQZRsDC+amEFXJQBn6VQq1RA6D4pnLd/NwXzyVK0SjgeVVZpxiqZEXB8PAwhoeGQC+8EOlMhqUfkkns2bsXu3bvRjyRwNDQEIaHhtDf3w8l5AMrgU8sFQYi13UZaaIU0UVazYgqknLkYHR0FLIkYaRVLW45ypEAoPwkV4+XRK1YdtbJaK7PgdhOUSSBso6Iv33gAUxNTeGKK65YKHPl+88jBfy7zXMpDZGqCAtFUap2aswZxqLoDXyINF6VSVL8PayleVjQwLY1TYOmqjAdBznDqL4IuuyyIkt6EUWgqgrpzjsXxul77gGGhoAPfADg2y0ZPSh4rsUz5roustksent7az/JJYwVchCAxFf3HgCXK2PL6g2CN0omA3zve0xrsG4d64EwM8MGHdFSOYjLLgPAHyZC4PB9hQYfsDoSCXRs2YItW7bAcRxMnDmD8WQSY6dO4eiRI5AkCQODgz6hiFcZaIgkVVw1GaYJivaWLxZCquB1QME6MK5avbopqRY/ZF0jCSiLwshBC1aoy9IdscllcKW2ks1mWfMkw8B1115bvXmSSEGUIgSFtuZ1kgZVVeG4bllykM1mEV/kahsCVF4IAfB4SraZ91yQGAjEYjFYc3PIZLMVyQEFgDe9CTh1iv0LwCEEim0XW9OPj7NKhrvuyttO4fccvA5CAwUA6fn5Gs5ueWCFHHBQSllaAQUpBUkq/eCLG+UHPwC+/e2F1x991J8EKKXFwrB43M+PyYrC8noVIgdlJ5CgKxivHFg1MoJVIyOgAObn55EcH8d4Moldjz+OxylFRyKBoeFhDI+MoK+vz2/pG+r68PLFxRAiBlHJJXF2dhapVIqZ19QI3zylGSSgln02c3s00P54iYeig2hJWiGAmelp/Pq++6AoCp7VhB4JlcgA4eHoMN9ttU6N2Wy2rg6QTUVABFwS3HdEVHU1ClEeW6pcORaLYT6Vgut5MAyjsgBQloGPfxx46CHgv/4LsCxgxw7I994Lb34eCqULRnQCk5MsJbxtGwCmuSgs3S28Q31ykE7XfrJLHCvkQCBwM1rV7JLFJHLgQD4xCGyLlooYdHQwt0MO0SvAKUcOhBtiuUGzgCD4L4PVB3d1duKcrVthOQ4mxseRHB/H6MmTOHz4MBRFweDAAIaGhzE0PIwYL6kqR0ZMy2J+8LK8qC1KJR5tKUUOnnzySei6jsHBwVDb8gojAi2eUIOCOAChS0fDIjiAL0tBYhO3Ke7lsbExPPjgg0gkErj66qtbLu7zJ7WChUGp56pSp0aPsqZmi5pW4KjUAjn4HDacVuCkq9wYJEkSotEoMpkMMrwhVVVccQX7J/D974MAcAHInscqE4L4zW98clBqXC06Jk6IUivk4CkMfpNTSv0wv5gES4UVAQDf+lbJ7VAAkCSQa65hVp9zc6zkpmBFq8gyE9eVIQe+iK0SgmVxZR4qTVGwZvVqrFm9GhTA3Nwcklyr8NjOnaAAOru6MDQ4iIHBQfT19hZFPAxherTI5ToyF495fCAJlrCdPn0aq1atKrkCLeWbvtiivaY3bAmIERf73GpBq7pIHjl8GI/v2oVVq1bh0ksvbYlgriwKibYg8QXPqaqqsB0HtuPkkQPDMECB9hsglQIPwZcaXUTUsxl6gzCVEYl4HNlsFoZplnaYrObXEvi7S4ifSvZRiTyWuD9F9DWbyVQ99uWGFXLAQTg5sB0HKhcLlb3hxYNeWA4jDGjETTQ6CrzxjWX3KcsyQEgoO+BQCGFkRAB0d3Whu6sL555zDkzbxgRPP5w4cQIHDhyAqqoYHBpi5ZJDQ5BlGS43bVrs8kDCIwfgynPxHc3PzyOVyWAHFyIWXoWlNlW2opObWMUtJ2KQhyYdN/U87Nq1C4cOHcLWrVuxffv2xXewE+cWKGOFJLHUgmEUpRaEAVK7+yqUAynTtVCMXY2kFCgYyQhz36qqyoSJto1MNouuzs7840SVdN26dcCJE/5/PU4QRASBHDoEvOUtQCIB8vzng151VcUxVRBO0zRhWVbtnjhLGCvkQIDf5I5tQ1WUyikFAV1nYkT++SKRS5UHW5JlEEJ8W9Cy+2khdFXF2jVrsHbNGlAAk8KAKZnEo488AgDo6OxEV1cXRkZG0N3VtaiTj2+E5HnMCIlrQsaSSUiEoL+/vy1e/XUhhCNhI1iOlQpAcyMHjuPg4YcewunTp3HxRRdh0+bNbSlNrBmc4Ir7WZIkOI4DXdNAKUUmmwXF4hkgFYKg9MTrNRA5COoLavnu4/E4zNlZv2qhpvv9r/8aeN/78tLIHiGsioEQ4OBBNoZPTQGf/Syke++F9453lN2c7xwKYG52FgMhU5rLASvkQMDzmB+3SCmUIgeOwzQG99/PBC5iFV0Q4vbxx39ccZciJEYpZQ9IMEdZ52nUYoNc9FEAPb296OnpwbnnnQfTNDE2NoYnR0dxcnQUJ06cgK5pTNQ4PIzBwcG2RhKCFq0UTKsh3CzHk0kMDAz4/1+SCA6AraxUWG6RgyaJKA3D8JsnXX311QsD9RK/HoqiwHZdOI7jG66l02nomrYwRizmAQIstVBCk+Rxw6FaIwcUC/bftSISiUDmQm7DMGqLrmzYwEoWP/c54PRp9pqqgtp2cYoBAN27lwkan/tc/kK+BoyCESOP0hVy8FSEuMGFMFBRlGIlv2kyH+/Z2YUbiIf+SooPzzsP2LGj4n5lSfIHcsd1oYptNDpxNDAJBQcAIe7r6OiALMtwbJtpFcbHMTo6CkIIerq7WankyAi6WhBVEMdCAd+hTJZlEO7UCDCb6zNnztRVpdBOCEEiAdgqpUWCxGVlnYzmCBJT8/O477774FGKpz/jGeju7obHzXmqmdksNlRFgWmaeRHEudlZdHZ25lWfBPU1i4Gibo2iUqGGMkZx7GHTCKUgSRJisRhS6TSyuVztqZeNG4FPfGKh1Pyf/gm4/36WYihRrkh//OMFclDimCVC4FGKzFNMlLhCDgDfSUv0Uiipxv/85xkxKLg5BDEgmsaaf8TjwO/9Hus7HgLC8c9x3fICyEZQmOus9vbg/imFycsXo9EotK4u9PX344Lt25HL5TCeTGJ8fBwHDx3Cvv37EYlEmE5hcBCDQ0N15998QlB4zPxcRJ5PkIMzExNwKcVQi42PmgHf95+Wtk1uBMvROhkIlDLW+fkzExP47QMPIBaN4pprrllQ+Itr3QIi1kyIBj7UdeG6LmRZxtz8PIaD93OwfDJQCdHWsyooa/S1UrzHQDUEvQsaXUTEYjGkMxmYtg3Lthcs7mv5nglhJY8TE/5LLlBU5kgymeqtnMGs7p9KWCEHAHMp9Dy4jgNJkopTCpSynuBAPjlw3YVV2h/9UWhCEIQiRIli1VCtfLHFCO7VtCwm+pPlook+Go1iw8aN2LBxIzzXxdT0NJLJpC9sJISgr6/Pd2vsDBFVKFffXAiZV3kIcpBMJtERjyPRYuvoZqFkCqoJWI7WyUBjmoMnjx/Hozt3YmBgAFdedVUesRdEN8w9taggBIqiwPU82I4DSinSmQw6C8R2wffnEec2RhWCZY3C/KhaFUgjKYRyUFUVEV1HzjCQyWahdXX5+6oZg4PAkSMA2D3jUAoZ8Mdg0tFRtfkXAZDjjbKeKlghBwCo6wKeB4mQBVVu4IanhDC9QRCFqYQA+6wFQQtOH60Y3OtINQhHRL1K+aIkyxgYGMDAwAAuvPBCZDIZjHNfhQMHDmDv3r2I8mZRQqugKMqCA12Ng4YwpvI8D57rIplMYtVS68BYDi1cxfqrsmWUVgh+97WQA0opDhw4gP3792PD+vW45OKLQQonKSH6wxLI2VeBqqqwbBuObSPL05VdfMKrimBUgZDyjYOagUBZo8uFhOVSCkJw6DWQQqiEWDzOOjUaBryOjvqFuC95CdORcQT9SAgApFLAK17BnG//9E+BZz/bf6/LU1eEi6T9fhhPAayQA4BFDgQD5qrhop4Eus7aLgOlBYibNtW1a1lRQPg+gTYNYhUmKHFODh+oCCElrV0rIR6PY9OmTdi0aRM812XNongK4tixYyC8WdQQt3buSCRqIkREknxf+pmZGWRzOQwPDdV0jIsFAtTWxKsWCEHiMiIHKFgBh/qI6+KRRx/Fk6OjuOD887HtnHNK21uL9zfhMFsNkVqwHQdzs7MApeiox8mRUkYMeKlkK66B6NboVyqUiBxQ7kUCtC6SFY1EICsKbMdBNpdDIh6v7zz7+4EXvxj4znf8lyiwUOJoWZA8D970NPClLwGHDgGvf32eJ47wX0mnUivk4KkCz/MAnutTVBUUTHsQ0XXgV78CvvtdZqsZcCIsqlGXZaYzqAMyf4DdQJvRtqDSCpYQP2oQ0bSGJhsiSRgcGsLA4CAu9Dyks1mmVUgmsXffPuzZvRuxeBzDw8MYGhpiFQchlM+yJMEhBKeTSciShL6+vrqP8amC5ZpWEAhz3LZl4bcPPIDpqSlceeWVWLNmTaUNLoSzl/g1kSQJiiTBkyTMzs4iHo83ZtokxqrA/wkWKn4aAi/9c3mFV6HewG1yCqESYtGoL0xMNNKH4k//lBnVfetbzL/GMOCl0wsCRTFeEgL8+tfA858Pd2jIN6oTJdWZdJo1cXoK4KwnB0LJ7DoOZFkG5eWM9JvfBPnJT9h7hKpVlosHGkKAG26o+4GTZZk9aEJZ3U6UEyvyPgqgtO5SxTxRYUBxnYjHkdi8GZs3b4brun6zqGQyyZpFyTIG+vsZWRgeLtt4RpFlWLaN8fFxDA4NLe0SxiAIacn3HDT5WU6CxFoqFTLpNH5z//2wDAPXXXcd+kL0HZAIgbtMrocoaZybn0dn2JRCWAiiwBc2Dd2DvKzR99Xg46JHSNv1HfF4HKl0Go7jwGzUhGjDBuCd72S/v/71AFh6RhAEItxvCQG++124r3sdACxEmZ9iFQvLZERtIbioxnXdhY5/2Szsn/8c/m3GQ3RwXVBJAolGWShq61aWr2ogjCTSCq7jLN4Kp4AkiKiBqqo1dzekYhAKljyVgSzLGBkeZu2VKUUqlUKSaxV27d4N+vjjSIgW1CMj6O/v96MYsqLAcRzMzMzgkksuqfGEFw9i9db0SoVA1GA5RQ7CNoqamZ7G/fffD0VR8IxnPSu0+HT5XAlAUVXAspBOp7Fxw4bW7CQoZmxAyCjKv4UYr53RgiBkWUY0EkE2l0M2k2meQyHvrwMwgiAXVDAglYLjOKBg5MDhi7unko3yWU8OKK9UAFgIXFNVmD/+MRxFgcZLG33xocjhWRbw0Y82Zf+ycEl03cUPfXLmbxoGPEqrChEFfGEh/ym2Veu+Ozo70dHZia1bt8K2bUyeOYNkMolTp0/jyJEjkGUZA0NDGB4cRP/AAKanpuBRiqHlFMZrUZi7Fc2L2gFf+FXhepw+dQoPP/QQurq78bSnPS30fck33NgBthGKLMO1bVimiXg7Km8CaQdx/cNO7y4n/1SkbhYRiUSCkQPDQKJUv4V60NOTX+Ionllx3lu2wOEN9hRd9z1yLMt6ytgon/XkQOgNADZRq4oCM52GraoAL00ReToS+EyzIPJ1ruMUuSQuBhzXZXlEQqBxDUa54dUnBSGiBLVCVVWMrFqFkVWrAEoxl0phfGyMNYt6/HFQz4OkKFBVFalUChFdb0rL2FaDojWagOVYqQBULmOklOLIkSPYtWsX1qxejcsuu2z5pI/qASHI8jGn3aK2wmhC2emev88X4i0B8qVpGjRVheU4vqVyw3jRi5iLokCgCoQCcP77v4FduyBdey2k5zwHwMI1zKRS0J4CGqin8JMWEtzfAGDMXVFVYMsWeLt2wZUkSK4LT5KQN+00kdUrigKJMEtgw7IQXeSuh5ZlAYRA1fWF1URgAPcHkQKxU0tBiN+Cets558C2LIxPTOCBBx8E9Tz8+te/hiaaRfEKiMgS8aRvF6p5BVAupA1Gd4KlpKXKSsXrlFLkeKWOaZow+O9EEObAT/G7OIq8NEeplEeZSBP1POzetQuHjx7FOdu24fwLLlhW6ZJ6kc1mIVfq7dJqFEQTfAGjuGd4DxnXdUGwdCpjYrEY7FQK2Wy2OeTg2muBgweBX/zCf8mvAgHgKAowPw/lnnuAw4dZqSNHKpVCzwo5WN4otE2WT58G+frXoUxOwqEUtqJAt6xidvyHf9jU41A1DYZtwzDNpUEOKM0rXwy6+vmCo0UcqFVNQzwWg+u6uPjiixGNRjE7M8OaRXGzqq6uLmbrPDSEnt7eJTOINXLdKGWdKAt/ep6HHK/3VhRlwTYYJVwm64RwD7UsyycHjUBM9A6/71VuWU4kCZ7r4rHHH8fExAQu2rEDmzZtqpsYLDdCkU6nkUgkmEB5kSOJglAS8LFSqPYB/x5rSgi/CYjFYphPpeDwZ6Ep4+irXgU8//msxHHfPmB62idKjqax87cskIceAn7/94GREQDwfSqWO5bGN7tY4KTA9Tzg8GHI//APgOtCiUTgaBocRYEaLGEBgKuuYjdMs8An4mw2C9MwgGarlGuAbdu+sYlIKYiVhOiclqd0XsQSseT4OFRFQVd3NzRVxfDwsN8sanx8nHkqHD2KJ554ApqqMlvn4WEMDQ7WlrNuNkqouUtN+i7PZ3qB1ypN9I7jwPU8yIH68nLIW+2L34NRgMK/Ab49raqqbFUbjDhgIQrh3y+B30tBnIvLz8/1PFi2Dcsw8Pju3cjlcthx4YXo6+/H3Pw8ALZKJbwfiTAsC/4Ufy/YUcVrsdSQmp9HRzwOSZJgO87iRhCC3yWHENSKngqKLC8JHwlJkhCLRpHOZJDNZpu3yOrvB97wBr96QSIEtiSB8qiKbNvwZBn4n/8BffnLAQDZp0jFwtlNDviqi3oeyLe/DZmTBdW2YWgabElClBBAUYBrrmFdFpvs308BaDyEbwUUsosBy7aZIyInBsEyxOAKLE/hvEgEIZlMYnBwkJWqBTQguq5j3bp1WLduHTzPYxGF8XEkk0mMPvwwAKC3p4c5NQ4Noaenp+WrS0qZYYzjebAtC7Zth570S8GfEHl1jYiKSLKMWCSCSCSS/30Fwvn1nquIFkQikbry4cF7KXjOhmFAIsw+2LZtPLxzJ0AprrjiCiTicXaN+DY8z2NpwCr7EtckSHKEcdaSjiRQivn5eQxs2cJsfG27veRAkAH+e7m/247DUkf8OjstckCsBYQQv9+CYRjMyK6ZUQ0+NlNC4KgqQCkU22bXgVIgk/GvmWmazdvvIuLsJgfgtsWnT0MOlKAoPJ/mEgJXVSFbFjPJaFE7Tp2TA9uy/MYriwHLsthqQFVZhKBKzXJwQGjn6sE0TUxPTeHiSy8FAH8VUzhASZKE3r4+9Pb14fzzz4dhGMxTYXwch3izKF3X/f4Pg4OD0BpoQR0kAa7rst9dN8+DQISLC69XcLANTvqlXisF4VZXT/lpOxDsex/8liRZhqIoSKXTeGznTsRjMVx9zTWIBjQjIp3liZ/B3znREERLvF8QRo//HmxnLXGiIH4uFdKQzmTgui66u7tBCGGiv3aQb35twlYdiGsrKQqILENGvs/GYkFEtUzbRiabRVe53hT1oK8PNJlk84KmsXFSVLNRCqxd2/RU3mJj6Y0i7YTnMb3B7KwfNRBQLAuuosDSNERNk+WbmkwOxC0kSxJbOTkODNNEfBHsN23H8Qejkl0pq6CoXrqFg9p4MgkKYGR4mKm7+aRcTckeiUSwfsMGrN+wAZ7rYnpmBsmxMSTHx/Hkk0+CEILe3l6/B0S5FtRhSEAhCA+FK4GJKMykHxaLXU5WNyjF6bExHDxwAIODg7jiyiuL7j9CCIgso9oVKiIRlPr3tcvTLp747gqe96VAGlKpFCiA7u5uOLwlueO6rSN7NZICASHgVhXFT5MJU6TFIlniDGLRKCzLgtnsKOyf/zmkT30KnizD1XW4to2oYSyMd3v2ANEo6B/8Qev6WrQZZzc5AGe869ZBCg4WngfdsmCpKkxVhaYokNevb/7OAw+lpmnImSbMNpMDEUL0jY80LS8EXSsL9klCCweJ8YkJ9HR3IxKJsM6RXFRaS5mbJMvo7+9Hf38/tl94IbLZLNMqJJN44oknsG/fPkR0HYODgxgYHGSiRkJCkQBZktiKmE8wYrLxBYRBYWeT4LvVLRXhZQhQSvHEwYM4evQo1q5di8svu6whAV4RiaAUqqL4KRzwXLnHSZ3Lv8ulQhpmZ2ehqSqi0ShyPOLR9PA44KcH6pnMRT8Bj1L/uIhI7Yno0GIQVb7PSCQCzM3BtqzmXrsrrwT+6I9g/OpXzNvAttmcIUksrTA7C/zsZ8xy/6MfXdQIcLNw1pMDN5UCfv7zvFJFCpZa0GwblqYhd8EFSLSiNC7wIGmaBhloihI8DAQp8Lga2RZVCsGWt3WQA/+zYj8FpVCNRhOo5+F0MonNGzcCYGppx3Hyu1rWgVgshvXr12P16tWwLAuTZ85g4swZnJmcxPEnn4RECLq6u9HX24u+/n7E43EoslySBJQ9dv6zYh15vRDakGVCDjzePGl0dBRbtmzBOdu2tezYg+JKMbnnRScKSQPv9lmRNEiS/70risL8Shq8t1OpFDo6OkDA7muTT3DNgF91EBQX1nG8fkqBk2AAfkljnkZJdLdtE8Q4Jb5byqMHzSRWzp//OexnPAP0hz9E7P/+DwCYpXLgvqWnT4N85zug112X19l3OeKsJgf00CG4n/wk4HlQRBiKMptMAiBimrCHhmC/6lUwLavm7oSVd54/PeiaBkmWWy5KzOt5APZgBydXNXCOQpTYyCopWOMe9EgQr9WK6ZkZ2KaJIS4MFZOxW8dAJMK2jm37an+Bzu5udHZ3Y+u2bTANAzPT05icmsLxY8dw5MgRxGMxVio5PIz+gYFQg5AgBa2IqSwnh0TbsnD/b3+Lmelp7NixI88Wu5mggXuvIuohDZ4Hy/MAnncmPGUkKwrzS5Hlmu/vubk59PN+EYqi+M9m3SWNBWmDZhBSQVYK7/fChQQNRCVanYMv3LeuabBtu+lRWNOygI4OqABkz/MNkYq+5V/+Eo7nLfvJdbkff0NwbrwRGBqC5HksNITASlfTIL/pTdDPPx9GLgfDMKBxoV4zQAvCb5quQ+J5u1bYb1YSy4gqBbXg/EQuvFkPd0miwA4q9ECaTCahaxp6ursB5DtMVoMI04o8dKn0gMT1H6qisBUhJx/DnIy4joMzk5O+sPHosWOQCEH/wACGuVYhUabVLm3iIF243aBxzVJGJp3Gb37zG1imieuuuw6ari+EpJuNIGGqJ9xdgTQ4glhyYk25vsHm9yEBFogC/1npHF3PQyqVwqbNmwEs3Iee58G27fBC2RLlh82E6CFQmMIrp80RfytbAdEC6JEIMpkMSzl6XlOIp801IJ7nQU8m8//I5w8q0ipcB7XccfaSg8ceg8srFHy9ATf6IABgGMD55yOi67BME67rwrQs1sq5GSi4eSRCoKoqTM54m0UOCiMFpSCqFErus0U5xLKVDlWIQjKZxNDw8EIDpkDkoHAgcDkJ8MlAifMQYWFBBqoNJLKi+BGDHZR1YUvyrpJ79uzBrt27kYjHfV+Fgf5+fyAN7r3RiEwQeR0Zl3BaYWZqCr+5/36omoZnPutZiCcSmJ+bA9B6UtPUVA4vvVQUBdB1P8LgOA4c14XL7zVHiHx5aVuQKMiKknfOQozYFSCWiqr69241clCqAqbZEHoDGtAbCIhqm1LjTEmH1SYfVxA6101RSmHZdsNjNuWaLI9S1sJ+zRrQJ55YKM1FYPFFCNDV1XCacyng7CUHO3fC4TeNwjszFvU6Hx8HWb8ekUjEr5/VNK1lLXFVTYNkGDBMEx1lVp+1oNAutxSEMCtodNNuhCUKuVwOM7Oz2LJli/+aUPy7POICwB+US5EBJbiaC0EGqh13oqMDWzo6sGXrVjiOgzMTE0iOj+P02BiOHD0KSZIwNDiIoaEhDAwMIBaP51sKNwHiLJdyq+ZTJ0/ikYcfRnd3N5529dX+ZNfSdEhBfr1l4e1AhEFMQy63ZReEweOVUUHtgiJJLLqgKJibnQUoRUfABE1VFBhglURFpDnwbLdrjerwcYJIkh+xC4JIEmiFSdF3XGzyfVoorCSEQNN1eIYB0zQbJgeWZbE0iVhA/dmfgdx7bx7hlF0XriBMGzeGimQudZy95OCyy+D+678C4ORAdF4UIATg3f40XYdiGHBcF6Zh5NVg14NyD7OuaZDQuImGP2iEGAxNnlJQVLVkXlOImNoVrq5EFMbHxwG60IXR46s10zSRNQwWfi2wfRbNtAQZaOV5KIriN4uilBnajCeTGJ+YwOOPPw7HddHZ2ekThd6+vpKDbK1YCpbW5UApxeFDh7B7zx6sXbMGl112md8gK5gOWcoRj3ogSxJkTfPvR3GvitSW63lwPA8OF86dmZpCNBqF6zhM7BcQuQpioZS4bu2EaFGsltHXkBDjTVCH0IyUZTmiHdF1GIbRcEmj53kwTROUUkSFuVg8DrzmNSD//M8LBl3gEQRCgIcfBl2/HnjwQeCccxra/2Li7CUH27fD6exkSlvXzS+9oxRYvx7gFpwEQDQWQyqVYtEDXW9sUC/zQGi6DiJJTANQhwhJPGiiAiEMbH7jl40aNHmVWwsKicL4+Di6urvhUYpUOg3btv3yQPCfqqrm6QUW89i7urrQ1dWFbeecA8s0F5waR0fxxBNPQJZlDPJGUUNDQ3WTzqDBz1IC9Tw8/vjjOHrsWOnmScHnoAXHTgsiB4sJSZLyiKsI0QsPhtTcHOKJBExezkwkiU3CPF9vWxakRe674osRy6jwhSNlmOk+L5LTgtRls0oaBbmQCMknRc94BshFFwEf+ABr7UwISGDc9QyDNW+anGzwTBYPZyc5ePhhOM9+NvDsZ4NEoz458IcPXQduvjnvI6qqQlVV2LaNXC6HRDze9MPSVBUyr5uttUNjUIQUdhgUan0CVKzEaHdZUiE8SmGZJibOnMHA4CAyATdLSZIQj8WYdkBVm9ORrQVQNA2rV6/G6tWrQSnFzMwMxrgB086dO0EpRVdXFzNgGhlBb09P6NW0/70vodW34zh48MEHMT4+jksuuQQbeelpEK2evPNC2EtMIEa4xkhVVXieh7m5OWzZutU3Q/NESsK2YVgWLEXxUxCLAcorNigqN1sSKb5at11vFKHcJ5pR0ui6LmzuoxIvQdxpTw8wM8M8IySJpVyEM6ckAVNTwE9+AjzveTXveyng7CMHjgNcdx0cQgBJguw4+bWql18OvOlNrJ9CAaLRKGzbhmVZcHS9vge1ygOg6npNHRrDCA7LwaqSUhDIa7bUJrhcpW1ZFmzHgcm7DnZ1djIBoapC1zTIsswU3TxkK/KPi71SLELBRNjd04Ouri6ce+65sCwLExMTSCaTOH78OA4ePAhV0zA0OIhBbu0cqXAveDWSwlbDyOXwm9/8BulMBtdcfbVfdlqIam2mG0FRbpuvVJfcfQFgZnYWtuNgYGAA0WgUER5VsHkEEZTCMAyWapAkKJxUtDMyJhYRwhSqLOo4nmAUoWZtSIX3NlrSaBQISQv3RSgFbHth7qAUkojeijfde+8KOVg2uP12wDThxOOAJEHiKl//lh4dLUkMCBgb1TUNpmUhl8vVJRosLGEshK6qyBISqkNjtc531eBXKYQQIrZjYHV5YyKT+w4EkUqlAEqxds2aosY/Eg/B2jyfq/F2qoUT8lJCMPyqaRrWrFmDNWvW+FGFcZ6CePSRRwAAPT09fgVET3d33gC9lCIH87Oz+M399wMAnvn0p6OTl5yWQkvLLwu2KSa2pRA/CBJ6QgimJichSxJ6enoA5EcVotEoKICsYTBLaMIatFmWxd6nKFA0Lc+WuxUo529QiLrLRjk8z4Mky6EjlZWIhChptOooaRTpHs/zEKuS7vOEGVSgx4t4Da1w1m0Tzj5y8ItfAOCTtCwXi2jK5IhE2D4SifirWaMeJWyVh0aPRJjuoIqQpp5ufkGI0quwVQpEkloSmnU8D7ZpwhJlXwEoigJNVaFqGkZHR5FIJMp2BFQUxa871zRtYZDiyLtWwRRSmxD2uxL9HXp7e3Eeb0Gd5KLGI0eP4sCBA9A0zdcpDA4O+gPpYmsOJsbH8dsHHkAiHi9qnlQKrYwclESLynKroZAMLBwO+31yagrd3d0lvz9CCGvMRinUSASyJMGxbdi8pNCybVi8O6CqqlB4461mX9Ny/galIBFSd68P0fAtTAShmr5BlDS6lHlQhDWxozxSQ8GIeyVSQbZsAR0dBYAFvxxCWOdQQli752WKs48ciJWMmCAoza9SKKfE5Z+RZBmRaBS5XA65bJYJjZpYAigmNmG6UWjH20gaIQjbsvz8oVRGYBREM0vBXM+DZZow+TkGoSgKdE4IgqLP6clJ9PX1ld2moqosIlSmhKhwsGw3WciLTtUAXdexfv16rF+/Hp7n+c2ixicm/GZRnV1d6O3txepVq/wOn+3G8ePHsXPnTgwNDeGKK64I1byr3eSgpeWMAVQjA4XvnZqcxLoKK0xZlgFJguc4iMTjUFUVEcp6L9i2DYe3ABdEAWAVBaqm1dVEregYRYM6SsuKEYNoxrcpFj+VogjVvslgSaNhGKHIAaUU2VzOFzn7ItIyxJK85S3w3vMe9ntgLKOSxOaVj3wEuOWWqvtdijj7yMG73w185zt+5EDYn/q4+OKyHxU3fSQSgcdNkbLpNKTOzlAPTZhhSZYkJnx0HBiGgXhA+NhotCAIkyv929kv3uHRFosTEwC+j7zGB7JSVSCO62J2bg5r1q0ru20R7nS4W121CacsWRCK6yZOXMLXvmj/hbXrVSBJEvr7+tDf14ftYL4P4+PjOHnyJE6cOIGjR48iGon46YfBwcGWe1dQSrFv7148cfAgNm7ciIsvuih0eqNdHgcCTd0P/+7yXC9DkIFCZDIZmKZZmfjKMmsVHJh8SMCIiUYiRURBuDWKKgmtiq6oEhzHgQSwplYhtiE0P80oU2xUCF1rSaNhGH46IR6LVY/G9faCfuADwKc/DSmb9RcBLgC4LvD+9zOB+zve0dB5LAbOPnIwPg5EIowcSBLLE4EPHJEI8KpXlf1oMIwVjcXYQ2jbSKfT6OjoqF7eGPJh0TQNOW6GFI/Hm94n3PU8ODwUGXbyIITAQ+0DLKWUuT5ynwgBRVGg8zrwag/g7MwMXM9Df4UBVOZmSKJJTrla7HIoHMgLfeELB7tmkAbSYJ13NBrFhg0b0NPby5z0LAuTk5NIJpM4ceIEJElCb2+vn4Lo7Oxs6irdc1088sgjGD15Ehdu344tW7fWtP1FSSvUCUHwhMcAKVhJFqaxwmJqagqUUvT19pZ9T9AFtFSJc5AoIBqFw1X2Ns+1G3zlrPHnrdZugSKlUMsz1ewoTSlfhDDbr6Wk0TBN2Lbt6wzyrlMZkkIAeKoKpFILkQNK80vjP/ShFXKw5CGUo5SC6joL+4iQcnc3cOutzOCiDIJiQkII4rEY0uk0HNdFJpNBIpFoSt5X0zTIhDDzDQBosjWqzVm0zLsKhoVUwwPvcvMQk9uOAuxB0jQNkRorPaanpyFLUlUBqMq96B3HqZkclEO5laBw0wxGGQrfk/feFoJSygRtAwMYHh7G9u3bkclkWAvq8XHs378fe/bsQTQWwxD3VRgcHGyoLM4yTfz2t7/F7MwMrrrySqxes6au4wZaRA7qLIsLfp+FESgKND0FNTU1hY7Ozorhf0II5OC9XSXap8gylGgUkUjEF/h6rusLGUWkLqw2QZgfhYmOBo+5mRBko1bSEbak0bJtWKYJz/MQiUSK31cmrUAB0McfZ5UKgkBQCi94/tkscOLEshMnnl3k4HWv879gKsuMDYovnNuXVkKhAIZIEuLxOFLpNBzHQTaTQZzb4xahhhta52ZIomVrM1z0gvBTCrWKKUMIumxehmkF0jWyJEHXNOiRSF3kaWp6Gr19faH6HqCJbW4roRRpyGuAFPi9HeSAH4j/Wjwex6ZNm7Bp0ya4rutHFMYnJnD8+HGWoujvZ74Kw8NIJBKhB/RMOo37fvMb2JaF637nd9BbIaJT5cDZz1Z0ZCyTVvAnfLG6E5EA8bng+9sQ0ZiamqqYUhBQZBkOIXA8D2ETRSLnruk6HMeBZZp+rwaHOzFqul4x5SC6UAKoKeJAUF0wWA/EMybVsO1qJY0OT+F6PM1aMppa5hkmyK9WEPAKr+cSq5YKg7OLHBw5svC7LBcPID//OfCCF9S0SUmWkUgkkJqfZ6rhXK7kDVithDEI0R1RhASb2XbUoxQO9zfQ6gi9lzoDSilMy2L5usADoioK9EgEWgPq6TCCreD+ALSFHJRCYV193oRTarLiqm4SeE+t1ymv6VKZz8qyzHQI3HY6nckwopBMYu/evdi9ezfivFnU8PAwBgYGyk4Ec7Oz2LNnDzRNwzOf+UzEGzCdaqrmgE/2hFLWhCgYfkb+ROX/rZWahxAwLQvz8/PYunVr1ffK3C2xXs9+kXbwXJetkrm5j59yUFXm/FrwvQt/A5G2qwWtMk8j4D4CIcdUnffGKVXS6LouslwroMpyyeqzSvcHpRRk+3bQ737Xb+BHEfA5AIBEAqigl1qqOLvIQQCU1wXnffGF4sRSnysxgMuyjHg8jjQXF0mEFJdxhSQG4l2RaBSW4yCTyTSVHAgxoOgMVxMKzsFxXT91EBQYarrOUgc15jZLIZPNwjCMUKtTYQrj8aY3NZ9fi0CA/BykAKVFPhWFVRT+5wM/gyQiOMGGJRaJeBxbNm/Gls2b4bouJs6cYS2ok0kcPXoUkixjoL/f7z4ZFMXu3LkTvb29eNrTnlZ75KkAIt1UMZoUmPQB5N1nQTEgCUQBIElMDBZ4b/DnUsE01xuEubcVWYaE8ILbcpBkGRFZhq7rbDVtWQuEwbZ9LxeFL1AEGaknBdWq613YhbRaZE7nuianoKTR8zxkczkWiSCkvNFYBRLieR6gKCCXXALy3/+98DoCFUpvf3v4k1tCWBqjZ7vQ2wtMTwMAqKKwLy/4pV9zTcWPVxqAVU1DjFJks1nkDAMSf8hqhQibxWIxZNNpVlZDadNq2G1R6lRPlQJXIYsogR1YxciShAgPYTaz3n56agoUqCjYWjg8JszyuInSUiEHdYdWCybEUiTC4xUsRJLyUhoQUZ5gyqGEuFKSZQxzF8aLLroIqVQKyfFxTIyPY/fu3bjn21/Gjsue4ROVgf5+XH3NNUVaFb8io0SovsidkE/4ovqGooAUlZv0g/sT+0KJSajCZNGucsYwmJqagh6JlPXuCEKSJBBZBvE8uJ7XMPEmhPgCRcd1WcqBlxZnczlIhgFV03wX1XqepValZWRJ8omlECp6FSIUpUoaRcki9TzWOycaret4fYL7ohcBySSwaxd7PbitW28FXvEKoISF+FLG4luqtRPvf7//Kw2KEQFg7VogjKiqwg2k67rPPrOZjD8RhxmKKLgamf8/ouusxpeH/poFh7d/rUewZ5omZufnWdMjTgw0RUFHIoHuri5E6tQUVML09DQSiUTokktFUZhPxFJqmdrCyShP1McjER4WSEOpYxBiSpSYKOMdHdiyZQsOff+HiD/5L3hh/8PoOnonjv7ov+F5HibOnMFvf/tbHD18GJlMBp7nMcvqwLaDZCZv4g+QAVC6IFQtvGf4sdU9uVT43FJyyhR6g7BHJFwQm90OWJFlxGIxdHZ0+Logj1Lkcjmk0mnkDKP+SEUr9CQFx+KFaFKn8yiXcIXN5XKsVwSliEWjZcetIuJa+Hd+7xNCgAMHFo4JAdJqmsCf/EmVs1p6WBpLq3bh0Uf9X2lgFYOODtZdKwSqiWyi0Sg8z4NlWayCIUSJIwVnoEGRmyTlpRaqWXiGgcsHcqC2MKFt28hms37jFQKWx9N1HUqLLXvDCrYEgn4HSwG04Hst+jsaDL/y79PXgxTsr+y9WpCTFyAAvnrTO3DRtt1YAwpQCXEJmF1/CFPkMmzYuBFzc3N47PHHQR9/HJ0dHRgeGcHQ0BD6ensrDtJFq/+A3Wzhcec9ZzRQPhgCSyUyUAmO62J6ehrnX3BB6M/IsrygO2gwpVMKhEf/dE2Dw0u0CQB4HtKZDCKi9LiGZ77ZVMwL3O9BVHNVjEYimJubg2VZC2OZ8DKocD7VztTj96a8fz8Q8FIould372Z/b6OvTKM4e8jBD38IfPWr/n8pISDC7jKVYj0VNm0KtalqOb9YLOaXHaXTaSQSibIEgYLf8CW2F4vFkEmnkclm0deE1IIoSQrbsMVxHGRzOThCi0EIopEIIm26wR3HwczcHNZv2BD6MyLc6rluSYfJJYUSZXHllPOFk6eAWzgYNniPfPOdN+Fp2/agr2CzisxeWL9+Pbq7u2Fblq9VOMGbRSmKgqHBQQxxX4VKzaKA/IZRhaLNcsJXod8I6gjKajaWMGZnZ+F6Xk3EVy5hhtQKEEKgahoUTUMkMNYZvBRS4wRiMaIwwZRCISqVOsqyDFVRYOVyyGQy0DQN0UIvg1KQpLIeB8BC5ECamCg8mOI3T04Cq1ZV3t8SwtlDDgIphZL4138F3vWuqpsJI/wihCARjyOVSsF1XaRTqZIRBJFKKLe9CFcP264LwzAajh749cpVogYezzsG+zvouo5YNOob97SjhfP0zExowZaAJEms7a1tw1kC5CC4+i0UNlGUmQRLbahc2LNcaL4OfOeWt+DazYcQKziADAFOjm6DOrjwmhpoQQ1KMTs7i+T4OMaTSTzKI3Td3d2+r0JPb2+xT0Qdxy5IRCkdhv8ecW8GrrcgXUslrTA1NQVZktBdpblaELIsg0gSXO5bUItHSa3wXJftQ1HQmUjAdV0YpgnX83yX04iut9VhFahe9VWJIBBCWNkiIejs6GiKF4ogKnK1ihNJAsp0J12qOHvIwenTef+lhau2qanw2wpRQkMkCYlEAvOpFFzPQyqVQjwe929IkUqoNFg1O7VQTW9APY85MwY0DqqmIRaJ5AmSypU0NhvTU1NQFQWdNXa/VBTFr+WuRxTaCAona0rpgolViXumkSY1QTQ66f3nrX+Na9ecglJwKJMEePTIBfh/73wn/iugxi7YObp7etDd08NaUJsmM2CamMCxY8fwxMGD0FTVbz89NDS0YPpDSEu6SZa63tVSPO3E1NRUEWGqBkJYu2RCCNwWkwNLVClwy2RBui3udupRiqxhMJJQyjQocMzNEoGWSykUIu975joXwzBAKfVbuochNZTttGJqxD+mTZvyBO9F99lzn9sSP49W4uwhB4ODwNiY/1+hOfCrFUKo4QWq6Q4EJFlGR0cHMtxFMZ1OIxqNQtP10A+LSC00WrVAUb7tKqUUpmkim8v5A6qiKIjFYuWjDCFrjBvB9PQ0enp6ap74VEWBATRduFWEQCVAYUOs4M+KV6nB6+hXHdR5X+z+2cM4vecOXN0/V/S3kyDYfWgHXvHxWzEzMxN6m5quY+26dVi7bh0opZiZnvYNmB4+eRIAiyr09PSgv78f3Z2dzZu0K11vvo9SpLwovdNAuWA1CO+OjXWo130zJNcNbYZUD2zhhRIwBCKEMMtzVYVpWTBNE47nIZ3NQpFlRhJKEJZmkYNKKYUi8MgUBSuHdh0HhDfJk3i5czXtRLWpPNjrRiIEeO97gRtuKE5DaBrw7W+HO+4lhLOHHLz3vcCLX+z/V9xiPjn4sz+raXNhBw+J2/5mslmYpsmIguMwH4QQnxdVC7ZpNpRaECkFSZLyVhyCFPhtfyUJsVisKrNudUkYpRSTU1PYFFIHEoQvSuRtbRsd5AvL8IoGqCphzkpodPrJC6HXiLvf92GsH34YlyaKm9IcdFTsO3w+/vqOWxs6PkIIevv60NvXh/MvuACmaWI8mcTpsTE8OTqKY8eOYdfjjzMDppERDA4M1Fdmu7DDqmRLKhH5KvpEgUjSHy/qPzIf6XQapmXVpDcQEJbHrRTculyvQyktuTgghLCUgqoynxOewktnMtC48VmzXV2B6imFQrieh2w264sGOzo6mJ07F2ZXFVZW0xsEjoUQAvof/5HvuitgWcAf/iHwf/8X+tiXAs4ecvCiF7G+Cj/5CQB+o4kB9dJLgW3bQm+q5twlIb4qNpfNwuROgvFYrGpIlUgSotEo7AZTC3ZB1CBYgeDvh1cghDk3392vRaurdDoN0zTrsuaVJAmyLDM3SMepuW2tL3wL/L9uItTi6Eq9LoNfuemd2L5lNzaQ4sHv8WwCZu8L8dd3vLQJR5gPXdexbv16jIyMIJ3JIJ1OY35+HklOFgiA3r4+ln4YHkZXM6MKAiEnmVLGVQ1Xl4ClFAiAnhqilQKiYsFr0AypEmzelE1R1cpKfj42abzzoe04sBwHVjqdV9nQjGP0Kmizyp2DaL1MCPH73iiyDIuPC430FgHyU4gSIXDF5F/qOH/1K2BigkWwlwnOHnLgOMCvfw0gsAog3Hlt505gZgbo6Qm/vRpZLAUbGCVJYh4IloWU6yKeSFQVzcWiUWRSqYZSC0JvQADMp1J5FQiRSATRSKTmhziMO1m9mJqZAShFTy3fSQCKosB13VDkIDjICrFlSUfDOlB1Mmnw+gXv5bD4+s0344qtuzFU8LoL4OHpAfy/m/+loWMKA3HNe3t7sXbtWlxwwQXIZbN+s6gDTzyBvfv2IcJbUI8MDWFgaKjhAb0px573n9on6MmpKXR2dtYliJMkiYXX+eq+FddDpBTCHp8sSYjHYnC4cNpx3eLKBoRLxZZD2LFGpEhNbg+tKgoi0ajf60FWFIC3s65US1OL3kCSJNCxsYpRBgDAj35UsevvUsPiP2ntwsc+xkoWEVgRBL0O7r4bePObQ28uzM1eaP4CsL4Jic5OZNJpuK6L1Pw8EypWCKVGIhFIitJQasG2beRyOTiu6+cFgxUIdaHApraZmJ6cRGdXV+iW0oVQZBkmKvRZCCreCyMDzSIGQpFfaXucoNY7cNZarfBv77kBV2/dj86CHRoAHhrbiBe+7x/qPJLa4JWIeERjMWzYuBEbNm6E57qYmprytQonTpwAIWShWdTQEOvSWVjvHmLfTU2JFaYogkQTpYnh5OQkBgcG6t6lLMuwHacl5MANNFqqNeKmyDIS8bjffE1UNtiWxcyVWizIE+ZGlm3DoxQRTSuKhKqq6hOYShBkohLy7L8DLpdlP1dHpGgxcfaQg+9+1/81b1UoBu+Au1VYhArrUQqXr9gFRPvhDHdRzKTTiESjiJSZ9BtNLZiW5ZdVRiKRkhUIdYFPqq0IbU5PT6O3gYcpaIYk8ot+GVy7auFJAy5/IVELObjnQ3+Da9cfh15w+rMEeOT4eXjph+9oxSGWhH/cZSYMSZYxMDiIgcFBXAjmOJpMJpEcH8f+ffuwZ88exKJRDPH+DwP9/ex+XmyfgwKyUPh8GIaBTDqNvnPPrXsXsiyzMHYLzJAsnlKQG2iWpqpqXmWDSyky2SxUVa3LHyHM8+p5HjLZLEu3eB7TTRWQm2AZdzWxsm/MVQEiJStJEtDVxcz0+AK0CKoKPP/5Vc9jKeHsIQfBQSgQMfBv0xoHlbC6A6+AGCwcAsuDZXM5mIaBHM+PxWKx0oZIgdRCLTAMAzNzc2yVwasnmlWbTAhhFs9N9jywbBuzs7PYtHlz3dsQRk+ipHExwtGhSUgDFQul2jUXvcf18ONPvgrXDJ8pUmAnQfD4oR34y483JjysFbVGPGLxODZt3oxNvFnU5OSk3yzq2LFjkAjBwMAABgYGWLOoCt0i2+p1UEAWJicn4QHo7++vW78g0pCtECU6lgUPQLTOiJ2AqGxQFQWGYcDkLZMdx2F2xTVEEar1ThBmbeI9iQqpWoV3t6x67UL4KQhyIESi+Ku/Aj7zmdIf+PCHV0oZlyxe+lLfPtkvYwQWIgcXXlj7NivcQKKmthpi3KUrl8nAMk24rotEPA5ScHMHUwtZw0Csivucy5m0bdt+h8Ke7u7mm5a0YKCdmZkBBeqKHARTBIqiwPU82ItEDsKmCyRCip0OQ6JaKeM9d34KncqvcGV3tuhvRz0Jew5diNfc3l5iANRODoIItqDesWMH0pkMxpNJjCWT2L1nD3bt2oV4IoHh4WEMDQ+jv68vf7JYxOjCWDKJro4ORKLRhagCL60LeyWEGRJ1nKaaITmO4y9mmvW8iOonxbKQymSYKVw6jUgk0pSxyLIsGLkcXEoh8x4RlTRZCo8uidLucufpeV7FUkYvYP0tifTqN76R9x6f/G3bBtx0U62ntug4e8jBDTew7lh84gHgRw4oIcBf/EXNm6yoO6hhANI1DYokIZ3JwHUczKfTSMTj+cZDwdRCOl2RHJi2jUwmk6dziMhyS9zMCKX5TUaagOmpKWiqikSF1V8Q5aoJVEWBZVmwbRvRKmSqFQh7B9Q9VRWUUhXiaze9G1s37cYWuTiEuteK4PiZK/Ca299Z794bQqh2zWHAI3CJLVuwecuWPFvn06dO4cjhw5AVBQP9/X4KItrEFug1gVKMj49j3dq1/NALOmfy16op8wkhkCUJbpPNkIJCxGZHVzRNQychyPCGRznDgOM4bNFTqR9HmWdbGBuZtg1KKVRVDSWq9isWuFi5XKkmqTJ+i8iDiFDSf//3PAMkCYEx8eBBViX3vOdV3OZSw9lDDiSJfUmbN0NKpwGRnwLYw/mVrwB///c1b7ZUzr2q8U0JyIri6xBcx0EqlUI0GmXdxPj2q6UWKFhu1uC2x4osIxqLITU/zx6gVqyeeRlPM/P4U9PT6O3rK/ugFxoNlYOqqiyE6DjMA32JhvXqHYYL66yD+NrN78COrbuxusSd+PB8D9bseCue+abL69xzEyCOvcnfiawoGBkZwcjICEAp5lMpJmocH8euXbvw+GOPoaOzE339/RgeGkJfX19LnQaDmJ2dhZHLYaiEjW5QxBj8fzmiICsKiOM0zQyJUtpYO/cQkBUF8ViMrfZNE7bjwEmnEY3Fyo5NpVIKnuexni/cxySi637XxbDHIblu+dRCiDSfbygn7p1f/Srv7wmrwDvkYx9bIQdLGr/6FTA/DxlsQPZmZkA1jbHEhx8GHnsMuPji0JsrpTtopO+AFBAqWpaFXDYLy7IQi8UgK0rF1ILjOCzywPcdiUQQi0b9fuySJLVscmy2IdL09HSR+VE9YkJJkqDwtte247TfBz7ssYapaqi2/cBnv/WuG3HV1r3oLdi9DeDBibX403d/vqb9tAK+6VYr8/+EoLOzE52dndi2bRts28bExASSySROjo7i8KFDUBQFg7xZ1PDQUFlRcDOQTCahqCr6qqTLiBDP+qdRHGFQmtyEyXHdhZRCi8iSGC91XYeiKL5BUTabhaZpiFTxWAmWKVL+/3glF9cyUBUFpmky18RSY1eV5zaoN/Cju4IM8Oe4O2BBDwCYna3pGJcCzi5y8OEP+7/KrgtvehruqlVQXJd9qffcUxM5KIRPDIIlknUgHo9DUVUYnB2n5ueh6zoi0WhRaoECyHFBI8AG20Qi4TNxwXBbEjUQ4INXM4Z507JgWhY6OjubUl2gqiocx4Ft220nB6ERNOSqAX45YOCz/37LW3DNpuLmSWkCPPzkVvzZBz/V0KE2C4I+N5MahIkkiWZRF198MWZmZ31R42M7d4JSiq6uLlYqOTyM3iotqGtFMpnE4OBgTdssIgqSBFDKQvHcDKkZcPjkpqpq6wSbfCImhECWZSQSCRiGAcu2YVmWL1YU+pBgSsG2bRi8p4Pnecy/oEq75XKQA6JESim7xoEFnUdpRb2BbxzH0zsAQIaHgcOHQQiB6nlIFFZDXHFFzce52Di7yEGgrabsunCmp+GtWbNQqz83V/MmBfMsrGlvdCUtPMxzuRws02Sd0HiOTAaQ5bm7dDbrEwBdVRGLx/NWYyL01mpBXrNSC6lUCp7nIR6PN6UKQlUU5Ahh+dQWlV2WQy2EqRGTGHFO/3nra3HdmtMlmyftPLwdL//YJ+rcQ3OR15FxsVI9hKC7uxvd3d04hzeLmpiYQHJ8HMd5C2pVVTHIu0oODQ1Bb0C3YhoGpqancdmllzZ0zL4AlTdDcsNaAVeASClQ1O5tUAsIFsgNwO7baDQKRVH8aq10JoMoFyuKBlOGYfjHB7D0aiPHqShK3urf8zx//KpFb5A3pv7FXwAf+AAogC7TzP+AJAGfWBrPXi04u8jB+vUAb/wiuy7THVgW69BISN3Wln4OvGkHykAIQSwWg65pfo4NlMK0LNiOg/EzZ3yTjzh/X95xoXyzpaajUUMkLmycnZ0FAUKLEatBURQWfuWDQbuqFoQFc1jUk5oR7z94/15M7/sUru6fL3rPKAgef+JCvOq2j9W07VYi2A+iqWSthutXeL01XceatWuxZu1aUM9jLai5VuGRRx4BAPT09PhVEj09PTURmwm+MBkaKvSlrA+E2xITsJWu3AA59/uuAC1vcV7qPldVFbIs+xbMOd7tUZZlmKYJSgio50Hn2oJG7xmVjwl5HijBkuCQegP/WlkW6Od5qo5SdBnGwsJAkoDvfW/ZGSABZxs5+NjHgN/5HQCAzL9gd3aWGVgAwEteUvMmxW3aSmMdIVYM+iFkub5g9apV6OjoKNnoxBWWyYQ0bnhUBfWsfEuRqnQ6jVg83tTGLaqqwqMUlm0vCfvdZoFSiu9/5p+wfnAfLkkUE4MnHBWHj56zpIgBsPB9NzNmUKsIuNL0QiQJPb296OntxXnnnw/TMDA+Po5kMokjR47gwIED0DQNQzyiMDg4WFUQNzY2hu6uroaiD4WQZBnEtpmwWlHYBF9Cn1ANvhCxlSkFDokQlFpCiJJHy7KQTqeRMU2fEGiahmhHR9McFoWJlAc20Yt0YxjjI5HWAALajI98BBgf97fRYxgL99dznwv8yZ805bjbjafOSBkG110HvPWtwJ13QuaVCu7MDIggB//8z8Att+RZYVZDOyum9UgEluNA13Vk0mm/HMhxHMgl8uk2XxG0VG8QQGHuriz4QF6qBDKVSjFb3CZCU1VYts36SbRQcBZErfdFmIGpEN96/wexdcso1sJE4Yj7WDYBq/eF+Kvbmt88qVGIwbWZKYVWdgnVIxGsW78e69avB/U8TIsW1OPjGH3ySTYh9PT4vgrdXV15GhLqeRgfH6+rw2glSIQAPLUABISLCFQ/hBDX+SmFRdbkeJ4HR4gEwSdiSv2eNM2EoihwbTuPHIRJOwZdESVJYqnoo0f9v0ccB5HgGPjTnzKx4lLVO1XA2UUOAOCTnwR6eiB/+MMstDQ7u6AVOH0aePe7gTvvrHmz7chnZ9JpuI6D7u5uAEA6k0EqlQIhBKamIR4Q8wBtTClwBAenUhB/E90cS12t+fl5jKxa1dTjEvnJYBix1ai5X0KNE9s3bn4HLt52CB0kDhL4qAvgoakhPP8dX6lpe21FMIS7WKhz30SS0Nffj77+flywfTtrFjUxgfFkEgcPHsS+ffugRyIY4lqFwcFBzM/Pw7JtDJcoYWwEMq9YKCVKLKx2KFcSKRqwEV7/32qUu+qWZfmCQ0oIOhMJeJ7nt12O1VGVUAmKosDkpaD+sQUIZrnjLCph3LfP/ywoLdYbUArs2gVcvohlw3Xi7CMHAPD5zzPNAZiTIEmnQcVqdXIS2L8fOO+8qpuhWKhDbmWHQkopMpmMf2PG43HfstMwTRYytyzYloVoLMbMQNA+MWLgQEseu2jvLFCORLm8d0SzIwdi4PO4W2KhNqMVqPlOIIR1dQsxaf3be96Gq7cegIoYbACgbKViAHjo9Ca88JbP1rr3tqJpBkgB1PPsNYPQR2MxbNiwARs2bFhoFjU+jvFkEk/yqEIkEoHMV5rNXEQIf4aKTqyikkiSFlJ/gWslogZ6C4WIhQh6F7iu6zeEo5T6HR7FtRJaq2w2i0g0WncjtkIoqgoidFwFIJJUtsNiUQmj6BrLr2l3ITkAgCaTwnbh7CQHp09DFvluQkBnZljTDIHf/CYUOQDKTHRNJAmUUqR5B0dCiE8MFEXB3NwcFM9jFQySBMu2mTeCaULXdd+StW3kgAvMgvlfD6iq/hVIpdOglDadHAAstSBKGttBDupCiEnjng+9EdetPwGNAoYoowLFLAEePnYBXvaR21p9lA2jEevkZoGguWWUQEGzqAsvRDaTwfj4OPbs2QPX83DvvfciKppFDQ1hYHCwoWdT5tfP9bxQJl9FBkuuC0ssINpIDoRdtGmasHgvB1DKLJVV1U9PEkIQi0aR49UKoly7GQTBL/UWkYNA1IB6ni/QDMLjlSFAIHJw7rksZWBZIJ6HnkJ/g6EhYM2aho93MXB2kgNeriJ7HlxJgjMzA3nduoXBIsTkEYwasE0Gbq468sel4Hke0um0v59gQxHxf2dmBul0GmtWr4ZlWchms3BcF9m5OTi2jVgs1v5GM55XMXVQDine0awV5MBvuNKmksZ6vv1Kos7dP3sYo499GtcMTwYGLXYOE6DYe+hCXP/xj9ex1/ajJeSgnuctUFbXCsTicYyMjODRnTtx2aWXIhKNss6SY2M4fuwYJEliLag5WYgnEjVdEyJJkPkq3PU8KCHTZeKMbaG652Zh7YDQOGQyGV/cp6lqno1yULdECPGtzwVBEELFRiDGUZenGmVZznv2pBJjeKFlMgCmU+PXMWbb+RMqIUX9FpYTzk5ysGMH8NhjkF0XriTBm5mB4nkLVq4hbS4LH+RmiqJcz0M6lfInskSJioRERwfm5ufZQ5PN+jakWV7VYPEQl/Adb3UEQZhAUdQ38KdSKaZObsEqRlEUSITAoRSO47S0nhtAXZNOufvnX2/9BAYTD+CK7nzbbAqCU56Ew4fOw6s+/uGizy1ViMG/meSg2WSsWRjnKvbhkRFomobBwUHWLCqVYlqF8XHs3bMHu3ftQjwe9w2Y+gcGQpUVSrIM8AmuVpiWBQK0xRyM8mohkzeXczwPMo+EBgXTpb4TEUEwCIHJrZcpjzTUC1GZQT0PTgkdUintgVtYwviBDwCHD/t/7zLNhRLG7duBL395WZofCZyd5OBLXwKuuILpDlQVHiHAzAwwMMD+/sUvAq97Xdna1MKoQd7fmkAOROcyyp3QEolESRGdLEmIx+NIzc9jbn4e0VgMhOfsbMuC47qQJImF70wTqqYhGok0f2LkKwDC0woSkKcxCIt0KoWOzs7mHlsAqujSaNstJwd1OUaWWK188eZ34oKNe7BFLhadHbQiGJu7CH/5wTfVfZyLAb+UcTEFiUComvZGMZZMorenp2gCTnR0INHRgc28BfUZbsCUTCZx9OhRyLKM/oEBDHOyEIvHS25f4lqCWsmBwzs6Ukp9Ml7KprlReJ7HHBC5NsoD+96jvEQxOIZSXp1QjjRGeGMlQ1goc4JQL8lUFMXvWosyDZiC18I3P5Jl1qcnQAwomN7AP5LNm5c1MQDOVnJw6aXAr38N+XWvA6am4MoyMD+/QA727gXe9jbg9tuB/v6ij5cLSxPCmhDVMzEKuLxHAqWsBWk8Hq+oru/s6GBljbkcLMtaGIQIQSIWQzQaheu6sCzLFy0qisJIQsHDWRO4rkCY/RT1mEDtk+Pc/HxdbZrDQtU0mNymteUIuGWGReG77775ZlyxZQ9WlWqeNNeDgQtfj8uvOm9Rc/f1oOmljHU+b62OHHiui4nxcWzdurXi+2RZxvDICIZHRpjGKNgsavduPP744+jo6MDg0BBGhofzmkVJFSoWKkFEFXVN87+HZgqqXc+DVaApkCQJUU2Dpmko1dI+zH2s6zqIJLHxjospw3RjLAVFUWA5jh8RKEQweuByIgXwyMGPflT4ZnQGmy39/Oc1H89Sw9lJDgDg6qsh/+xnwGWXwZVlEMOAGwwvuS7wj/8IvO99RR9tVc7acRyk02kATA2biMer7kdVVUSjUTiui7m5OQxwgiMGC03TIHOlfs4wYHJvhFQ6DVmWEYlEancdo7Rk2E2AEAKZrxLCwvM8pFIprF+/voZP1QZV6A6aYDlbCXXfH4HB+VvvvglXbd2DnoLx2gLw4PhavOA9n8f83BwjosuMHDRdc9CGCEA9mJ6ehu04JbswlgMhBB2dnejo7MTWbdvg2DYmzpxBMpnEqZMnWQtqWfabRfX39QGE+F4HYeC5LixewqhVyN0TSQJ13ZruL8d1GSngEzelFIokQeMRS980ruBztRATEekwcjlm4EQpotFozfeToiiQKIVdgViJyoUivUFB10WlsDtmOxYgLcbZSw4AyJ//PECpTw6KVPWBsJGAhyqDWp0DlWXbyGYyANhNW4t9cGdHB3KGgUw6jZ7ubsZs+aQhdAoSTzfEolEYhgHDMOC6LjKZDLK5HKKRCOuKVmnCFFUIYc6P5/PCPrDZbBau57VEjLhwSASqLIPy1EKjoqamg98737nlzbh242FECy4za560DX/2wbsAlM6LLgc0u5SxXlrQ6ojLWDIJXdfRJUzW6oCiqli1ahVWrVoFSilS8/Ms/TA2hsceewygFIlEAt3d3Vizbh36e3tBqmgVhNZAluWKBDlocx3GUljYuoOnBxRZhq7rJU3YCq98rXotTVUhEYJsNsvM3rjmqpZ7SiLEt2YuB/E3UcLo67YuuwzYs4e9h1Johds455zQx7FUcXaTAy4WcmUZyGbZIBMsCSpVtx9iwqs1XOk6jk8MVFVFvEx+sRz0SAQ6L9WbT6XQyTsaEkKKWL9odhKNRGCYJnKG4fdHz+VyiOg6Uw4XDDBCbBh2QK3V+6GVlQpBqKoKW5Q0togcNLKG/cGtr8G1a8ZKNk969PCF+IuPLVQkFJamLQdQz/Ofq8VOK7QayWQSw0NDTft+CCHo7OpCZ1cXa0FtWZiYmMDoyZM4lUzi+IkTUFSVGTANDWFoeLjIrplSCpu3PA5V0hskBiVIgs1Fhg7/Xj1KoaoqYppWuQKiCddEURTEYjHmhcD9EuI1uNsCWFjwVAIh+eZHhw8Dv/2tX/5IPa+YHHzyk7UdxxLE2U0Onvc84PvfhydJoNlssYVtwYNVNWoA+LX+ojd6NVBKkW6AGAgkOjpgmCbmUynEYjFQVOnLzs1ZIroO07ZZe2jXRc40YRgGNF1HNBLxUxJCbFgLalkNpFIpqLKMaIvtjVVVBeENXlqVHqonl/3oT36Fif2fxtP6U0V/exIEu5+4EH9VrkfCciIHgYmmadd+CZKDbCaD1Pw8zjv33JbtQ9U0rF6zBp3d3djKQ/lTk5OsWdSjjwIAuru7WQXE0BB6env97qQSIbV7G4hSbQC2ZbHKA16dRD0Pmq5D17S6+qLUq3dQFAXxWMw3iTO5x0sYiAVQtX07jsPuVwDyt78N/PjH7HPswyCEQBNpBEUBPv1p4DnPqet8lhLOanIgPf/5kG68Ed78PAt1eh7zKBDRg0gE+Pa3gRe8AFRVw62ceThfCsNIAWS4+FDilQf1QtiLOpbFzJEUJVxOnRDomgZd01hJpGHA4eVCOcOArmmIRCJ19Weo1eMg0cJKBYFgjXLLShprHOi+8I73Yuvax3Bx3C762xOOioNPno9X33Zr2X0sH2rQAnfEkM9Zu5FMJgHA1wC1EookwZYkdHZ0YGBgAOeedx4s08T4+DjGx8dx7OhRPPHEE9BUFX39/ejp6cGqkZGa90NLVB4AzF1R0/X6v9MGyZ0sy4hEo8jlcjBME7Ishy/bDpkyAQB5bMwnBgD8jpiEEERcF3jDG4DPfKZk5cNyxFPjLBqA/I1vwHvZy+BOT0PJ5QC+6qaUQpqdBX7wA3ZD3HILyIYNobcbZtUsGicBQLzBFsWEEHR0dMCZmcF8KoWenp6aGbyqqizszkmCxUuGrGCFQ42d28JWb8ynUuhoUpvmalBVtaUljbUMdV+68Wbs2LIL60t86rFMB6y+F+DVtxY3TwreW8surYCnvhgxOT6O3r6+tjQz8isWAqFtTdexdt06rF23DtTzMDM9jVNjYxgfH8fpZBJ79+5FT28vK5UcGmL9Wsp8J57n+dVOwv2UgJECnVu11woS+Fm7Q0Mxgg6o2VwOiSpVXv4xBMTVpZDXmOo//7Pob+Ka6Y4D3HffU4YYACvkAPLGjbB/+Uu4//VfUO65B1SEkIIqcNcF/dCHmD9Ck2DbNkxutdmsFsXxRALz8/O+F3nN+TfA78XQkUjAjURYhYNpsjx9Og1ZkqDxcqSw0YRqZY1CaDU0OFjz8dYDTVUXxFOLiK/ddCOu3LobAwVjkwPg4alhPP8dXy772bwBbRmRAz9y0IbmV9XQqqvmOg4mxsdxXkgL9kYhSRIIr8IpBSJJ6O3vhx6NYv3atXA9D7Nzc5gYH8ehQ4ewf/9+6KIF9fAwhgYHociyr80RCxiPst4HOn/+/e3XkEbNOy40z00WYCWNnuuyZk1cf1COhAbTpJX2LtKPkiRBmZjwX/fLuAU5cF2AR4ueKlghB8JG80UvAvnHfwQZGlroDRDMSZsm8OCDwJVXhtswz1GVYqWi0xjAGH6zHAFlbpg0l0ohnclgOOxkG8gl5m2PV01Eo1EYvGbZdV3keLWDJAYKXS+rbxCmSJXYufBYb7UYUUBVVVal4nlwXTeUE12z8a13/T2u3nIAHQWXxQDwwKlNePH7KzdPalWTr1aj2WWMS/EqTExMwHXdpndhLAdx/1byOvBcF45tw6MUnZ2d6O7uxob16+GJFtS8AkI0i+rq6kJfXx96env9fi5xXS8Zrqd1EAMAfkVTs0AIQSwWQzqTgeu6MAyjpIYpqHupBpuXLKqqCtLTwzr3AkVN0nTHWbYNlsphhRzwB8txHNabe2iITZaiMxf33KYAyMGD4ckBygvTssLkSFEQa7IAL5FIQCEEacuCZdvVRUchcrayLPtlkLZtsxCjbcNxXbiGgZxhQFYUP/dYGAWp1DIW4JUKtDUNl8pBVVVQy4JpWU3/Dqpdz+988HW4dv2T0AreyJonnY+Xf+T2qttYjpUKQAs8DpYgSRodHUUn9ypoB/xVMKXwXLeo0ghg5YsAu++DURuJEHR3dSEWi2Hd2rXI5XKYnJrC1OQkjh4/DvfwYeiRCEZ4RGGwWrMonk4N8+0GuzM2C5IkIRqJIMtNkmRFKVp8iSoqSVRzlbmHXB6FAAD1/vsBXfcjBoXEIuJ5wLvf3dRzWWyc9eRAhMcsywJ4mF9M6n7IS9zstYa9S9x42Wx2ocNiHWH/apAkCZquQ7VtpHjlQknwG7ySXWkhCCF+SoFS6pMEyzTh8PBjNpeDoihMucwHIgJeU1xmu6lUCpCkhnUXtUDXdT9simZXSJQZbHb//BEcf/QOXDc0XfS3MRA8fmg7/uq221jkKuSkt7yowUJevFlphUYjKM3shwKwlMLY2Bi2tbHOXZQNCzOkojJk7lYYLF90HAeObcPi0QT2RopINIqNGzZg29atACGYmprCeDKJ5Pg4jh87BkJIXrOoIkIvxsoQ6YJWRb9UVYXuuqwPQy4HpZyfgyBUZbZjWRYwOgr1n/4J0szMQnqUUnh8PJPAUwovfCHwkpe05HwWC2c9ORBM2vM82JdcwvotCARuHkIIMD0NPPYYcPHF5TdY8FAEBXlC3Aegqi1yvfA8D7F4HDnDYPW/paIHpdImNYIQAl3XWWvoWGzBntm2/TxlFuz6appWUfiXSqXY9WjjKljjbm2u68JxnKY2pSqlsfjmxz6Bwej9uKIrV/T+I56M/UcuwGtv/wR7IUwettkr8DZBTAhN+a6XYNRgbGwMjutibZvb9MqyDMlxSq7ErYCbn+M4yOVy8EQJoijFU1UoqlqUHhwcGMDgwAAuvPBCZLJZJJNJTIyPY9++fdizezdisZjfLGog2CyKUr/18mJA13X2bLsuMtls3vgSxjzMoxS2aQJf+hK0+Xn/dSrmAwBSIgEMDEB/6UuBNy2v/iZhcNaTAzHJ5XI52HfdBfnGG1kEga+sKcCslGUZ+OEP2b94nIWQ1q0r3mCFEFWO6wwiLeyQ6IoWqLoOD8Ds/DyzWA0cX6mwWCOQJIl5JkQirI+D6L7mOCyyYNusrlqWoXKiEJzU5lMpdLYxpSCgqioo4FdjNA0F1/eLb78J523ei81ScU54jxnFRPZqvPb2m2rcxTIlB2KyaAYxboKYrdmRg9HRUfR0d5dtlNQqCFFiITlwuVW6bZpQVJWdK78/VUWBqqqh7/14LIbNmzZh86ZNrFnU5KRPFo4dOwYiSRgcGMAQN2BKxOML6dkA2kHpCCGIxmJ+y3vDMBCLRkumMkp9/7ZtAz//OWTTzF8wBhZUpL8f9EMfgtYmIXW7cdaTAwA+OTDjcUQ++1ng619n4kPbBnjjECm4ys5kWM+FL36xeukKH3wywuhIURpqNVoN1PNAKUVHZycy6TTSmUyepTLlx9QqyLKMqCwjGonAdRyYPO3gui5MSpl1qyRB4xEFRVGQmpvD6rVrW3ZM5aBrmk9eok0yRCo0VvrqjTfj0q27SzZPemiuFxsuvQG/+7uX5b1eZONdaj/+m5cXOWi6z8ESgmWaSI6P44ILLmj7vkUU0nNd349AVEQZfLGjSRJL+dVACMpBlmW/DBIA0uk0kjz9sHvPHuzatQvxRALDw8MYGhrCQH+/f4wibdvqO0DiqdtMJsO0UrKcV2VRLnIrXCRx/DhUnmrmf/CjBgBAeXXCkrNhbxJWyAEWvlzLcUBjMZDXvhZ47WtZv+4nnmADGRcn+nAc4PvfB1784qrbF2E8QkjLVxSCFSficWZryl0Tuxvwd68XsqIgxkWXjuOwVqumCc91YXoe+51XbrRCf1ENohGMS2lLDJG+/s634Wlb96G7YK5nzZPW4cXv++fSH1zEfG0rEdRSNIMcNOMaNHOCOj02Bkop1qxe3cSthofNiW6wRNc0TUiShFgsFqqRW71IJBLYsmULtmzZAsdxcGZyEuPJJE6dOoUjhw9DEs2ihoYwNDjIxkEemW0lSRDN5XKG4RsklapOCjZic1yXabE0DSrvXulrE4LXjxOsFXLwFIYsy775j+M4UBUFhFLQ0VEWBuWqVuq6+U1Ndu2qSg4cx/HLYRKJRMvDwEJdSyQJHR0dMC0Ls7Oz6IjHIS+iQYeiKEhwouALGS2LlR3xazwzO8tSD3xl06rUSxCapoFyrUQzycG/ve9NuG7DEUQK5q80AR46cS5e9pG7Kn6+Wrh7WaYVlqk3Q1icHB1Ff18fIi22AAfYZObwdsOO48DhZNt2HCiqClVRmCeBrjOxb4Wa/2ZDURSMDA9jZHgYF4OlDUX64fHHH4fneejs7GQRhYEB9Pb1tTSSpGkaHK4tMgzDd6It19vDmp0F9u6FumYNyEMP5aViABb1kCgFrroKAKC34fteDKyQAw5d1xnzdl2/tS8KGWYhQQjhfpbL5fztt6Oe3uN9x2U+IMzNzcF1XczMzeVrDxYJEiG+E2M8GmUtqglBJBpl4VBK/ZUPIQSKokDlRKEVZEHXNF8oWk/b11L4/kf/CteuThY9XGcIsPPIhXjFx2+ruo2w/RmW0xTrBQhNo9dZNLxpmGQ0aVIycjmMT0zgkksuacr2CkE5GRCTnBvIgwtxsSTL0CQJiXgcqqoil81C4lbCi2k61dnRgc6ODmzbuhW242CceyqMjo7iwIEDkBUFQzyqMDw83JK0a0TXkebl10KA7BMSHhWQPA/ubbfBHRsDAGi8QkFUJ/iujpQy3dnLX+5v+6mIFXLAoes60uk0E6KIL/uSS0D/93+LBmAqei9ccgnw618DW7aUNMBwOKsnhDU5arb4qRT8GmMesuvu7sbkmTOYn59HZ2dn0wyX6gYvu/L4wO66LiQwVTSl1C+JtB0nL3fKPrpAFlRVbQrZEoOEA8Cx7Ybsbn/0tW+CTPw7ntaXLvrbCRDsObQDr7nt4yU+WQLVUgvLMHLQzDJG311vieDUqVOQCMHqVauasj3qef5EVkQGuHZIEGZFEABZhmXbbJzhzw6ldPGf+QBURcGa1auxevVqgFJMz8zg9OnTmJiYwM6dO/0xa2hwEMPDw+jp7W04qkApZf0WeHTYDAiQiRCdex7wsY/BPnkSiESgWBYkz2NVHYSAKApLJcsysH076N/8DQifJwo7Xz5VsEIOODRNA+F1wr5r3vXXg/z2t8wdkYNyBulRCulb31rYwMAA8J73AL29/ksiaqBpmi8IDApamg2XixGDWtxoNAo9EoGby2F6etoXEC0VmIYBNWCcFCylEgOjzX/mkYVcDoRHIQRhqJcsaJoG1zBgNkAOvnTzO7Bl3V5sjedAaf43fMBRcfjJC/Dacl0V68ByTis05ZibaLvbDIyOjmJgcLDu+4dy3YsbIARi4qK87FCQAIXf64VhcSJcWT0PluuycjsuQlxqEAuY3t5edHZ24txzz4Vl25gYH0cymcTx48fxxMGD0FSV6RT4v3ry+5Isg3oeIrruLz7yypcpBWZmQJ94AjYfv7VAxRoBAFUFvvIV9nYsaGbkNqU/FwNPzbOqA6Kk0eA2o7IssyZMd9wB8ulPA4cOsTIWWQZ1XdbBkZcPAQDOnAFuvhn4p38CZDnvAfdv6BBWwo2AJkLtSgAApO9JREFUeh4jLQWDRm9PD0zue5DNZssbI7UJJOBMZphm2b7yYiCMgF0zMXDaXHRFPc9PCRCwHKKqKH7ONewKVVNV3x6a1pGb/fINN+HCbbuxDhReQbXiY5kOOP0vwGs//vKatinMVsqFvWuxgF0q8JYgoREW540cUyadxvT0NC67/PLQnwnez35kgEcEhP+Awid2QQrK5cgFJJ6ucXmNPqW0pZVRNaEMmRPXXkQ41qxZgzVr1sCjFLOzs8yAKZnE6MmTAICe7m5WATE8jJ7u7qrfG6XUL6WUJKkoeiDSd95vfwsvEgElBJLnQbEsdr+K7edyLHIgxhV+Lk9VMSKwQg7yoOs6jGwWtuNAfOWku5uVLQLshvjkJ0F27mQ3jevmlzIaBvCjHwF//MfFUQOxPbSuzlesruWCMKKiqkh0dGBufh7TMzOIRCKL3vhGmEOZhhEqLCdSCgovBaWUsrArJwqO44C6LgzXBeFkQQwGQrNQ7pwVRYFMCDxCYNt2XrlTNdx904248pzd6Bcmc/wLdgA8PDmCP333V0Jvq9Q5l7tXls6aOTyamVZoJsFulKqcPHkSkiRhpEIbZEp5Lw8hIOQlh8G/S5zcypwQlLJBrgRBHuzAxNaSluT1oMz3VW5ylwhBb08Pent6cN5558EwDExMTCA5Po4jR45g/4EDrFkU1ykMDg2VTJ8Iq2SBwuiBP/krCiw+DmnZbD4xWNgYP5UFe+glQ75agBVyEIBggY7j5N3MfrkNISyCICBJxRUMDzwA5w//sDhqIMCjB2HaGNcCj69E2GEVD75dXV3IZDKwLGvRShuDENEDwzTresCIMHFRFESxEJYVUQXXcdhgbBgwRWiQGzHJfOAVvxNCoOk6nFwOlmWFJgf/+p634OotTyAR/CopkCPAgye34CUfrNw8KcRJlh1Uw7i8LTUs2VRIYCVYD0ZHRzE8MgJFUfxyTXH/eTxNKRwJAfgRAokQnwgIzUAjEP0VDNOEpqrLblVbSZMViUSwbt06rFu3Dh6lmJmeRjKZxPjEBJ4cHQUB0NfX55OFzs7OktsrjB5Ip06BzM/D3rYN7n/9FwgA2TCKiUF3NxCMFHNoK+Tg7ICiKJBVFZRPMIqi+A+cj8KbprCCQZaZ6QiKowatghh4PK45KCXgkSQJXZ2dmJ6Zwdzc3KKXNgJscDRyOSSa0FNB6A/ESkmUetnBsC2vhiC27X+PIh1BwLtDckLnf/dl8N0P/jWuWTta1DxphgCPHNuOv7z19sbPCdUjBNVCzT4aTEOIcq5gk59gZKOw2U6p426ax0GzKhU46o3meZ6H2ZkZzM/PY/PmzUhxNz4EiEDw+kiSxAgpJ7WNkoFCSIQwYuy6gKYtC3IgSDsB9xrg+oBKkAhBX18f+vr6cMEFFyCXy2F8fBzj4+N44uBB7N23D5FIxDdpGhgczIugRHQdzs6dcO65B66mAYTASqVAFQWRVKr0Tq+/3k+BBOeE5XCN68UKOSiAruuwcjnYtp0nNPGjB9u3A/ffn/8hrg4mkgTnuutgP/ooSCYD/dJLgVL5fVK+nXOt8OhCV0URti1HSDo6OpDOZGCY5pIobSSEwLSslpQCSZLkN4kCFnK8/j9OHqjngbouKE8puNwARdc0yJLkm6aIf3vv3YkTj96Oa4dmivZ5GgQ7D+3AX91WvVQxFCqJ7gojB1X0CXnva+B4gkZGhfdvtS2L+7OolFEcO63eIdTfTxujD8F7R0QCxH1y7MQJSIqCRGcnHF5VA0LY/SJJkCQJMvccCE3k6gTh9zD1vGU1aQlyJvFeDLVWdUWjUWzYsAEbNmyARymmJicxxn0VTpw4AcLJhN8sKpmE8i//AlvX4SQSgOPA1TSouRwUsdAT1SHxOPDKVwJXXpmnNRBoZ7O4dmOFHBQgEonAkCT2oHNzi7yb9frrgYceYuKUACilcCQJuXvuAWQZmmVB/sY3gLVrgVtuAQrCT74FZwPHmheqRAjBFyF5pY0dicSiDiKiD0M7SoGCmoUgPM/zc8GgFJlsFq5tg8oybF5OJlYMP/j8VzHctQvn93owkQChDmTqQqIOjnoS9h7djlff9tGmHXPZFRSl8Pg/8f+8nwVYKkF8cT6SLBcP/oVEgwZa6gJ+Bzwh1qtEhmqFmJwopXlpgCAhKLyy4hiSySSGBgcRjUZ9Mik6JLYbghgAKCvybSfCTvLB94nf623nLBGCgYEBDA4OglKKbDbLfBWSSRzYvx979+zBc/7nfxA3DDi6DleW4ckyVMOA5DhQDAP4u79jfXN0HejpWThOutCwDmCLsK7u7pqPcblghRwUQNM0UFmGa1kszCXCz2IV19kJ3HorcPvtwPi4/zlvaAh0chI21xTowpN7dJQ1abrjjvwdNRg9cCt9rsLAFI1GEYlG4WazmJmZwXAJf4Z2wbIsSFhcUY/EV3fCOwFghKGjoyNvxfjtj92GjeuOYrXkwoEEBxJAVBCJ4IgVwUxuB172vtcgm836q0SJezr4LXVDwl+di4hUmfcQLMH8fRkES2zDpBX8lEXgPvcCfyuZ3qtCGoQ/AOWEUBgpOa4L27bhuW5eGbDYvzAVk3g0QBCA+bk5ZDMZXHrxxYsuTBNlvgAa8upoJkKPbQXvEwShXl+Y4Lgai8WwceNGbNy4EZ7nYXJyEh333ANCKRTLAvE8mIkEIvPzrHwRYN41b3tb/jaDwkY+F3R0dS26sLuVWCEHBZAkCaquw7MsOAHlel5ecmSETfbpNDA5CQwPQ775ZmRjMVDXhWbbkIOsd3wceOIJoLDHe5212p4YBAsQVvDV090NI5dD1jBYO9NFKm00DAMUjLA0Wk7WDMiyDFVRYHEntYiuQ1VVfPXGm3Dx1t0YphTUleFCgUdkuETBnlQ/Rs77S1xx5XkwLGshFx4YSAh4mRknCjJfWQpiQgIkwr8GhaS0AMuulDF4zzZ4zKUmDE8Y1ngePHBvAM+DSymo68IVr5X4rEspPB5GFlUuIhUgfi9FaE6eOoVIJIKBgYGGzqcZMAMVOjKfyBb7eQoLWu0ebxIkScLg4CAzMnIcRHI5OLIMh6dhFeFnUyItW0qX0hPwtHkqYoUclICu66yTl+NUVq4nEuwfAG9mBk5nJ4jnQctmWW1tkFX+6lfF5ACoOXzmh1VL/S3kwyRKG+fn5zEzM4PoIpU2mqYJUIqIrrN8bJMHg3qgaRps14XNtRDffOfbcPXWfRC1HQQuJLiwKfDw6fV40S3/mO/B4DgLExVfmXqe509OhFLYYjAsMXgTPiEFow5i0A9GI5Ybgt0Ya5m0/GvIfwqTsuDrXnDSD2xbRFfyRJOSBAlc98CvJ3iUQpbl0MdHKcXoyZOsydIifx/U82Byoq3xNOGikoMaFz1+uL5oM7VHDkp+5skngXvvZd/T7/4u6KZNwMGDILYNh7ePl217IUL3e7+Xv02gpAC2dwnY0bcSK+SgBCKRCNKSxARrBQ+ZL0wsgMND0pLnQRZ56iBBqFBvXIta2nPdqiuvMINCV1cXstkszEUsbRRVHZFIxHedXOzVjqqqQC4Hx3Xx7+97E67ZeASFAeMUgIePn4uXffQuAAt6BllRoIqJK/B+L0ASRF47+JqY4MBXuR4nEeJ79skjH3QlQpDiLcAJF78Fr5sgFCL8HlSE+38v+BuAvDRFmP4HIozvCxSxELoPRgooZf0yLMuCJMvICfe5ws8Gtil0FcGBXkz2bnDS5/sjhPgTe5BEBSMzggiI8/KfZUp9bUnYqMbk5CQMw8CaNWtCvb+VMPmKV5EkSKoKixPUZUMiK5AJ/7sKQRIKK2bgOMyjZnR04T0/+xnSfX1IeB6y0aj/nCq8OR5WrwbOPz//GAq8EkS0s1kNttasWYNTp07hWc96Fu69996K792zZw8uvvhiuK6L22+/HTfccENTjqEUVshBCaiqypwQuXo96MMNoOSN7KxZA0xNQRVCRb4aIa7LwlS/93vAL34BPPooE7r80R8Bmzf72/UKb+wScEuw1zyItEKIc5QkCZ2dnZiZnl600kbDMKCq6kKf9yUQPZBlGZqi4L/veiOuWTOOwgDjGQA7D+/AKz6+0CNBDBx5IsEAJEKAMq1igwiujgWJoK4LR4TLAyWrruOAEuIL5hpCicE5SBIAIMVLvESjrODE778vsHoPDqaEEJi2DcswIKuqb5VdEZT64WYx4YuVvQL4kz0JEIBaiWWRKDhAqsR1LrfN0dFRxGOxRQ8te64Lg5MDPRJhLZrRmNC5IdSTKg2jQeGVDJU3U2Aa9vGP5xEDAACliJ85g9yWLTAo9d0QiSSB7tgBUmKyLbwPCNBUIeJVV12F733ve3j00UerRnze9ra3wXVdbN68GX/3d3/XtGMohRVyUAZ6NArLNItKGoHS0QP3z/8c+Kd/glzYLY0QnOnqQu973rPATgHgwQeB884D3vlOQJIglQmtCVSdAOqYVDsSCaTTaRiGgZnZWfT399e8jUZgFhggEaClvSfC4Af/8nVIZ76Lq/qLmyc9SSXsOXQhXnXbx4rEcs1AORKRpzGhzGnP4ZGGmLB7pgvWu/6qnP8ejGTklSGKz4iJOHBOYiAWn3M4CfFcdyE/HxzExKpbTLDcO0JEMRzXhayq0FQVmq7nRTPyoheBqIaEhTRL3vVolAyVgU8WSqRAKCd+hBB4rotTJ09i48aNi675ME3T17GoigLLsnwh66KgnmciTFSgSolj0aSayQAHDuS/iT8zIAQ0mYTzgQ9AnpqC4jjA6tVwEwkoJfpVlEIzSeHTnvY0fO9738Pc3BwOHjyIc0qknwHgBz/4AX72s58BAD7xiU/U5ORaD1bIQRnoug5DkmDZNqKB8FFJ5TgAd/Vq4NWvhvKVrwBTU+y9igJcey16H3kEUi7HUgzBm23/fuBf/gV41asq3/ho0UqABEobUyl0dHS0tbTRNM28/RHS2t4T1fCFG96Ozev3YVvcLvrbAUvDoZMX4bW3fbDtx5WXduLhc9GgSucmLk0FzfcyoABs1wUhBLF43HefY4cTcsXOqzgikUhDyv5WEYNyCN6LQpQ4PjEBy7axdu3ath5LITzXhckXHOKaimNs93UCULfAOtymK2+70CYZe/bkv4ELVUEIXEWBpWnwxsag9PWxiKUs50WJgUCaouD+JoSgK1Di2Cie9rSn+b8//PDDJcmBbdt4+9vfDgB4+tOfjhe+8IVN2385LJOkVPsRiUQAWYbHy5wqwXEcFk3YtAnypz8NfOlLwKc+xbp4XXMN5HQaoo0qCh/a//s/9rPCIOu5bsnX8xBcXdYAkTuTJQkzMzM1f74RGCH7KrQDX3jr27F9825sU4u/653pTvRuey9ee2tlYtAqStP2tSkP1xNRvheIZojfg/n8UAgYINWLQi1H01DjMR09dgw9PT3o7Opik/EikVnDMCABfnMmYCFisxhH1HJSz+/LUvspei2ooRLEgCMXjwMApFgMCq9QAlh0KwhJlkveGx2dnU3txHj55Zf723vooYdKvuezn/0sDh48CEII7rzzzqbtuxJWIgdlIEkSYokEcqbp58YFCjUCDtcZiC5fnq6DiElv924EPlgsVAwQj1IPdVWdAUfe52oc7BartNEwDPQXOIyVqm9vJSil+OqNb8eV23ahUHvsAnhwchX++B1fDGf526pjrjQBLXJYOyz8aoUGRHKEECbUbDJquYKZbBYTySQuufRSAAvhbLGNdq3XXcfxfQ1iBdG3RUkrNPLd1HIPU1oUJSCnToHefTdw/DjTd112GbyXvhRUUSCZ5kLKDIDNjY9INAqlvx9WYGz3AoZnYl+l0N3EqAHAFmg7duzAo48+WpIcTE1N4YMfZAuTV7ziFbiU33utxkrkoAISHR0L7ZcLWGXwdg6SA/bHwF8Lc1Ni8gsq0AN/C66s6goN1jFZiNJGRZIwPT3dtpCkYRglQ8yVuhE2A8JkiFKKb7zrb3HN5mJikANw38kteOYb74Ad1IpUQMsqLQoGqWXncYBAR8YleMy1rHiPHzsGhbcWztsGFrRIElof7TEMAwRgHUcDGpVFSSs0Gj2p8bN5E/hDD8F7xzuAvXuZzmB+Hvif/4H7N3+DPeeem0cMKCEweIpYf+EL2QKPUtbngo85bik9TcG+u1sgQhWphccee8w/BoFbbrkFs7OziMfj+OhHm+fAWg0r5KACZFmGxlfRolxIQExgFIzFA/DDU3l4znNKmmpQANR1kRseBk0mgQ9+EHjlK0Fe8QqQv/1b0P/5n5omSPHeeieorq4uKIoCx3EwPz9f1zZqgeu6sCyrpMaBoHWTiFChe5Ti3z/wGly77iDiBe+ZAXDf0e34k/d8EiAERkhy0NLIQXA3rdlLyxDsx9Dq/gL1ICwZdT0Px44fx/p16ypWnvjPYvBfE+8N0W6YothdVFzftt4jDZ5bzVUmgoxQCvKP/1hMxCiFbNs4L5UC3vpWYGAAIARmLAZvYADyq14F/corWaVPIHUGVCcHuq6jo6Oj1lOsCkEOstks9u7d67++b98+fP7znwcA3HTTTVi1alXT910OK2mFKoh2dMBOpWBZFiKRSF4ZFkFAb4BAw6NgvbSiAC99KfCNb+RtlwKgqooHNm7E02+6iaUaxN9mZuB98YvA6dPAy17W0vMTCJY2zs7NoSORaGlpo8Un3IoCyBrqzstuAvmTEwDs/sWjOPHobbimTPOkxw9diFfffhuo5yELRuIc3qWz2r5ahVKC1aW3Bi+N4Cq2kbRCK3PaYa7l6VOnYJomNmzaVMcOiL8Sa3RNL/xB9BJloSLF0a7IQb0Wx0HU9WlCgN/8Bp7j5H93AX2Bcvw4cNllLM3gurDSrAIpEosBhPh+IuIa2rzNdqVzaqYQMYigKPGhhx7Cjh07AAA33HADHMfBmjVrfEFiu7D0aPwSQzQahaxpAKWwCqIHALuhAORNHEWs8w//EHj725nBhqIAug5y8cWQ7roLTztxgukOCgd+zwN+/GMglwt1nGGtkyuhI5HwfdnPTE7WvZ0wME2z5MpHQNS21wMhXAs6FQp89f23YmLfB3FZVzExOOwoePjwRXj17ayrIpEkn7wYJb77dmK5EIFSaFbUYFEU+AEcPXYM/f396KizE18zUg+ObcPjC5JSxFoYPRUaSLUKzdhHPdfB8zyQZBJScP8FwkNQ6ndXFFbtiqJAUVXmJ+K6rKGXohRFDsqhp0XkYOvWrejl6YqHH34YAPDjH/8YP/3pTwEAH/3oRxFrs839SuQgBKLxONKWxUrvIpG8ZkziZqqqXr3kEvavAPrJk3lCRSpJbAARfc1/+lPgBS+ofpDNGAgIa206nkwiZxiYnZtrmXOiwV3ymlo6SSk8EmjAU4B/ftvN2L5lFzbKxZPM7lwMafpMvP62t+S9rmsaTMNgjXkoXRI582YQwXaiWXqDlp5vlbz53Pw8JicnceUVVzRld2JPEr9fwz69hmHAA7svS0Vhgu6Yy6W/QiiCMTUF/PKX7PdnPhNyfz/oli3+2IlS11CWfc2YzSMMUb4Y8dMHgO9tICrKKrlLttL06qqrrsJPfvITPPTQQ3Acx3c/vPzyy/GXf/mXLdtvOayQgxCIJBLIzs+z0BT33BdweKvfuktbAg8GJQSebYPyciSJEHjcmS4sGh0KNE1DV3c3Zmdn/b4LrfA+CFonl0NY69Rgt71yaYh/ufEmXHHOLgwXDCEUwMMzA9h4+Vtx4e9eVvQ50ebZcRxYBaZNJQ6k4nE2hEUsmWsUQVOh5YpjR49Cj0SanvP1rw3/v1chlWZblj+pVWrJLCoWWmqh3MT7sSKB8TzmdBjIw+Oee+Cefz52/cEf4HxFgVJQkeDjkksASv2xRtN1Vp4IMBMxQvz/Aywt7IKN6aUMhhIdHS3tePm0pz0NP/nJT7B7927cddddOMBNnO68885FIXkr5CAEiKJA1zTkcjlWm69p+V9WAyFwxGJANguAhx2FoIiXOzrbt7Mvac8e4D/+gylyN2xgWoSAMEZMkM24iTo7O/3SxjOTk1g1MtL0QcY0zTzr5HKoltMU4sKSbXw5vvHOt+KqLQvNkwQsAA+ObcCfvf/zFY8hEokgncnAsCzovA9EKZTrLtd0iMhB6/fUFIgyxkbSCq0OkVe6z2zHwYknn8SWzZtbJqgMRhKAEroESv3UVkTXKz43Em8u1bIrJqISrdp+EJ/+dB4x8EtH9+7FwOwsxl7zGqz9whdYH4UghoaAv/1bmJxQSYTkESqPvz94HSWw8uVy90GzSxgLIXQHlmXhXe96FwDgxS9+Ma677rqW7rccVshBCEiShEgiwfJWngc70Mq5YfzBHwDf+x6A/JwqJQSmpuHnp0/jOd//PiLHji18ZnSUdXl8y1uAyy9vznEUoK+vD+bYGGzHwczMDPqa3IHMMIzQEYmgr7pojpOngK9AiL79vjfimg1HyzRPOg8vv/WuqvtXeec26nmsU2e5KFG7J7BlshL30wpLsFLBR4XvbnR0FK7jYMPGja0/DP5TVDmIEcGyLN8MTavQxA1og9dBk4lB2StvWcAjj+S9FLQKHz51CuTKK4ErrwT57ndBd+9mDe5+7/eAa69l3Sr5wkuPRPKIneu6TEQeFJjLsq9RKIVW99G46qqr/Gfctm3ouo5PfOITLd1nJSzhp3VpQVIUfzIrKmtE/gRFUMNK50UvAq6+uugBIR0dwIc/jEuOH0f08OHSg9enP51notRMyIqCvt5eqJKEufl5ZEMKI8PCdd3SpZ8lIK6sqDwoFBmWw3989Hpcu7qYGEwAuP/wjlDEAGDfrVh1WDxEWeaNobZXLwrTLMshnwzAn6TqPt52iOsq1LUfPXoUQyMjeTbq7YAQLxIsjDl6iPbqBGjdNWvBPVe2zPPAgfxxT3QwFZ8DgIMHAU1jkdSPfAR4//uBa68FwETElFJWkl6wmHM9D5SQhQqzIJkqcY6yLDe12VIpdHV14dxzz/X//+Y3v5n171gkrEQOQoKoKvRIBIZp+nXGeToDyprX+LdVLQ/R3/4tvJe8BPjP/2QphssvB668EhEAq/fuZakG12VahODAQCn7zIte1JKBIBaPI2cY8NJpTE5OYvXISNPKG8O2Zw4aFokyo2r40b98E8rUd3FlX3HzpBOehH2Hd+DVd3y8xCfLQ9d1GKbplzuV7CzY6glsmWoOGnVHbEe6ppQ7KQBMz8xgbm4O2y+4oKX7r4ScYYByZ8BKWgMfFVJsDaFV6QRCgGQSGBtjKVMRvudVIWUFhwBLy2Ih3SDGQeGjAqAkqXNdFyTgtihXuWatTikIDA4OYv/+/RgYGMC73/3utuyzHFbIQUjIqgqXM1DLNJEzDHQkEnmDivhdMPewDyilFLSnB+Sv/qr4j5kM254sA7yFLwk2cDp+PO/tzV5N9vT0wDJNGKaJyelpDA0ONmfDnlc1fxvsRkg4y69WzvZPb30nzt+yG1tLNE/ab2k4fOpivO6OD9V8uDL3YLcdB6ZlIVZCmOh/9y3GcqMItMFqhXITdzNRbvtHjxxBPBbD4NBQi4+gNFzXhcXL8GKxmN87weONsEohGGlrFijYCr/p9/fx48BttwHT0wuvrVoF9+abcSCXwzmSBOI4LMRdeL66DnDPicJrkRMiRFUtaVjl8bJHWZYh8wqxSgS0Ha25H3roIfzv//4vAOADH/gAulpUKRYWK2mFGkBU1a9UcGy7qCY26LFeCyqWHBX6poMNtpTv2+NaAAoABw+CfPGLwK23Ar/4RVNWW5Ikobe3F4osI5PNIlVj9UQ5eJTmKYWDEKmDWo//y2+/CZedsxNblRLNk1JdGDjv/Xjdx2onBgIirWRxj4ZCtJwYiNXNMrJPXuruiAKlrqRpWTh16hQ21mN61ARQgKXzCIGqqlC41kCUOpdrQrSwgebRg5aksGZngVtuYT8DoKdPw73hBhzcvx/jz30uE1eW2v/11+d/jpMX27Lg8tLFctVFInLgE4MACvckSxL6BgbCn1eduOmmmwAA27dvx+te97qW768aViIHNUCKRCCZJhRVhWPbfrtUoJilh32YxERY9v1XXbVQ30tYcxPxoFDXxS+6u7F9dBR9n/88Y9+2zVIT+/YB//ZvrAyowZCYHomgo7MTc3NzmJyaQiQSyWtEVQ9KEiKeTywXuiRgZKVU9OBrN70NV27dW7p50plVeOF7vtLQ8QLwqytEp86gMKydq/lgpGqpoxnuiO0w8yl1LU+cOAEKYP369S3ffylYpukbHpUKjVOwzoEtb7LUqrTO175WWgDoeVAsC8+lFNGXvxzehg0g3/zmAono7gb+4i+Aq68uOEyWVvAdJAtEiAK+ARIhoUrQB0dGGh7vquGLX/wifsnH+c9+9rMV7bnbhRVyUANkWYanaYjoOtK2XSRMBFBzV8GqufdXvYqVMXLHQiJJLL1ACOw//VPEBwfh3XUX6Owsc14MfjaXAz7wAeCuu0KeYXl0d3XBNAzkTBMTk5MYGRpqSH3ueZ4fZhaDv+h0WWnS8/0fAtf3W+/+O1yzubhHQg7Agye34qUf+mzdx5m3by5MzBkGTNOsqhpvBZbu2rs0Go4atMvpr7B/BaU4dvQoVq9e3bzKpBrgeZ7v6heNRstePwoAok2zSMM1e5Xfquu/f3/+/z3Pd5GkACI7d4K+6EUg11wDXHNNqE0ahgGPRwTK6TNc14VocldtEpYIweq1a0PtuxZks1mcPn0aqVQK//mf/4mPfOQjAIDXv/71eMYzntH0/dWDFXJQI+RIBIplQVYUv21q4SQRNkdKKWUmH5UeZlkG7rgDuOce4P/+DzAMYHgYeMlLoJ5/Pq72POAf/xGGqpbOx09NAU8+CaxbV9N5FoG7J46NjcEyTczNzTVkJRoUEPkTSMF7Pv/WGzA4cBqS5OLMxDq89pO380NZWMl894OvwXXrThbdyDMAHj6yHa/4xB11H2Mp6LoOwzDgOA5c183vp9EmLMfIQUkBZxi0yTui8FpOTEwgk8ngshaVCldDzjAAPnlpIUp+KeCPI029Lxq9/rbNxq1cDrjySiCgWaKBn5QTA3+34AutGoiObduwLAsSISydUOazDk9ZFhKDUmfZOzBQ2fisTnzjG98oSh1ceeWVuPPOO5u+r3qxQg5qhKQogKIgouvIOA4syyobcgplXxrm5pdl4MUvZv8QqIH2PGBujtUdk0DDFW6g5GPv3sbJAVhr557eXkxPT2NmdhbRaLTuB8fj7L3SqvCcTfuwRWFmJdNdM/jiW9+O197JCMKenz+CEztLN086BYLdB3fgVXc0v0ZYkiSoqgrLspgwUYR725n/X0aaA6/RMsY2ofAuPHr0KDo7O32/+3bCdhw4tg1KKaK1+ulzXYpU5dkKt6kGt/GtbwE/+clCe/p//VdgwwbQ970PyakpSP39GODjV6m8Pw0ZLQDYeJLj5daarvv6jFKwTRNEkspXXgmSRQjWtCBqAACPPvooALbY2LBhA/78z/8cN954Y9vLZSthhRzUATUaBbVtFurjhhWF7FoiBJVbeDSeSyWEgPJyH4lHIDxZ9ttBSwAgyzA7O+GvPXbuBL7zHaZPiMeB5z2PtZUOiUQiASOXQzqXw5nJSaxetarm9AKlFI7nVcz3fe3mt+DZGxZcz3oBXLhtF774tpshx2JY0/8QLu0sTuscdhQcOrYDr77j1pqOqRboug7LsmBZFgv5oj15cQB5hGBpT7cMvgFSnTnUdsVjgtcym8shmUxix0UXtWnvC6CU+pOcHonUVzocmNwaWfmLNF9d+MlPgB/9qOhlevw45m+4Afc985kYvuoq9IvGc8H3AGxs+oM/CLUrSimyuZzvaVCt3NO0LMDzyr5PnHNndzcSLWjPDACf+9zn8LnPfa4l224WVshBHZBUFUSWoes6UlhoP1wIQkjFtEGjAx8hBFRVgdWrISWTAAAvMDBQMEHeD8fGsOGRR7DjkUeg/upXCxtIp4GvfhX4zW+A97439H57+/pgjY3BtG1MTU9joL8/1OcopX55Ig1oDkphaPho0WurQWFsfBySRLFRKt886dW3vyX0udQDVVUX0kqWFa72vJlY4qvwIBotY/Q8r+0k6Pjx4yCyjLUtWjVWgmGaoLzMN1JnT5O88uoCXU/4jZDy5kRh8P3vF70kNBGJqSk865xz0HPBBcCFF4Ledhtw5oz/PmntWtB3vjM/+lkBhmH4FslxXu5Z7nyp57GoDCHFmqEC99E1a9aE2v9TFSvkoE7I0Sg0xwGRJLiuC8M0kShg+QSAaJ9aMqzahNUmAUDf8haQd70LhBB4hQ/U616Hi4aHMfbAA1D/939LG6QcPAj8938Dv//7ofYpSRJ6ensxeeYMUuk0opEIElXa2AaJAcBXJWUe/i+87UY8Z2tpJ8LNSnE8hoI1T/rjd3w91PE3A7qmIeu6rFPnIgjWgKUfqgcAt0EDpHafoUcpjh07hnVr19bfTK1OiOZelFLmo9Gs75enGUK3vG5UZ0Ap6wHj/5f6lUgi/dmzfz9wwQUs3fmZzwDj48Dp0yAbN4LWsFq3eQQPACKcGADFomX//aK7qiQVCU2D747HYuhpsmX8csNyEz8vGSi6DiJJfo/tTCYDt/Dhq2Bz26wwNCEE0qpVkO64Azj3XEDTQDWNmYPccgvk667D5i1bcO3p06Bggx913eKHn/cND4toNIpERwcUScLU9DRLrZRBKd8CWqF8s7//FMJOtxaAX5/e2FZiADByQMCUz05h05dWYxlpDoQfx1LvyCiObmxsDIZhYFObbWspFkSIqqZVzJnXss3g72EIWiidAaXo+Pa3MfyGN2D41a9G/y23QAmYsdmu61udU255THl1gI/gxEwp0N8P7NhREzFwHWchBaPreXbs5c7A4Ne4iBhQ6vvWyLLckgqF5YaVyEEDUKJRRA0DmUwGtm0jl8shEV8oqCMB9looTmxqLpUQoK8P5Prrmc1yZydrIhJ8ywwT7vnRDB6u9d0W08VWwxgbA3bvZg/uJZcUTUY93d0weFnf5NQURoaH8/4uFMilBhuvTFrhB//ydWzoOVP0eilkATxw/Dz85cc/HX5V1CQQSYKm6zC5e2SsVuHYWQAvoECvV3PQLlA+KR46dAh9fX3obLM7nWWavkg32qg6vowZGwUWQu7lwu7VdAaOg+G/+Rsok5P+dyvPzmLobW/D5Oteh8fWr8fhw4fxzGgUsWy2vDHc7/5u3nGFEm8Hj9PzmM4AgKooRcLoUmOORAjTG1BaFO1zAyQ2Fo2iv1lOsMsYK5GDBiDpOlRVRTQSgcdDzFbBClpUFhTe+M0WsEmBfZScKAsmbr/nO48kZDUNY2NjCyHBm25i/+6+G7jzTuDVr2YlSfkbQV9fH2RJgmEYmA04nYk0QrnzLJdWSB28D2G9yMTaqtT1bQciuu4LUt02Rg+CZWtLGcGGS/V8P6XCwq3E5NQUpqamsG3btrbuV3gaAOyeatRJUiwAyv69zu8DALo/+1nIwnMl8A8A+j7/eRzatw9r162D/PrXl9/H7/yO3xMBAEBpzZGlXC7HFhiSVFLhX7hvQggcx4Ft26BAUeTAEVEDRcHImjVLu4Nom7ByBRqAJElQ43EoigJV0+C6LrLZbP6gVq72uNkDH6+J9nP7hXjZy0p/jH/22MUX4/7f/Aa/+MUv4N54I4saBOE4wBe+kNdbHWAPWXd3NxRZxszsLEzTZJ3TqqzkywkSR4aPV/xcECqAyzbsx5dvuKG9FQMcotsbIQS5MqLUlkCs7pY4QWi04VK7G009ceAAurq6MFxApFuNHLdIlkJ6GoRCtWtHSF0kJHb//cW78jzmdEgp/twwsGPHDkQuu4wtLoJ5e00Dnv984PWvz/88aoukmoYBm5PxWAWDKJ8g8OdFaBNkRSnSk7iOwyIKuo6hkZEajuapixVy0CBkXm6ka5qfY8sF2xsX1PAGuww2G5Lo2lhq2wMDwEtfWvqD112H81/zGjz96U/HqtOnIc3OLtQmF+Luu4te6ujsRCQSASEE4xMTcEK0kRbipCC+9LYbsFmpbQXeCeCiLbvx1fd+cFEsRyORCIseWFbbUxtLHV6DlQrtxMz0NMYnJnBOm6MGtm3DcRxQz1vwzGgUokIh1FtJ3iQa/9GP0HvrrSxCcKY4vUd4zwKApw1F6pBvIzI+vvDmCy8EPvUpVhH1xS8CX/4y8JKXFB9EDWOh4zgwuDNttEqppzhOwvsnGJYFEAK9QM/hUd7xVZKwes2atgtRlypWrkKDkCQJejyeZ4ZkcWtdVVXzBD5VqxcaBJGkPJ1DEf7f/2PtoP/1X1lkoLsbeNGLAD4g9vX3o29qih0jACI6vwWZeWFEgaNXVWGfOQOjowNnJicxNDhY+RxLCBIHR47XxVaHQBGTRv0QZzvXm4qiQFVVeJbFtAdtNDFZ6lOub4C0xPUGAIsaJBIJrFq9um37pJT63QP1SKRpugw/qhRi0hXvUI8dw8A73gGJh90BIH7vvcg861mY/bu/g2VZOHnqFAZlGSpfgZfaulVKyMmN48oeQ0jLZ+p5yGWzAFi3xWpRFjHuCj2D6G6pFuoNOOGRZRlrF6mPxlLECjloAiKdnZjnLUdVTYNj28jmcuhUlNKCnBaFS4O9CsqqjoeHgb//+/Ib4Q+xGGCEoZKf15ckZDIZxIXwMpkEbr8d0unTGFQUzMfjIB0dmHzjGzFQQfEr8oUCX3nPB3D16vmazjcI12XEjPDGSO3UIEQiEeaYaBiIRCJtWykv9VJG3zq5juNsZ4pofn4ep5NJ7Nixo63X1OBli1IDngaNgPJcP/U8DLzznSA84udHBgDE/+d/cJAQ3Ld6NTxKMXTeedj6+OPF2wIARUH6+c8PvW//WochBpT6KVtJkhAJQcIpFp4R13Hg8CqKQlLhuC48AMNDQ4vSR2OpYiWt0AQoqgolEvEdusQEJURGQfiPQQsGP9HrPSgEqxnPfW7xdrl4kQI409WFn/70p/jlL3+J43v2AO94B7zTpwEAsuMgns3CS6UQ+/CHMTtTbG0sUNiJsju2H5WdEkrDBvB4ugPbn/kadqxowMe/TghTJEJIye+8VVja1GBBc1BPbrudKZoDTzyBWDSKdW0sX3McB6ZhwPM8NtE1m5SESF0Ki+X4f/0XJMsqvp+4Ffu2++7DBdu343nPex6i73sf7A0b2C4C/0AIpm68kVm9Vzs0HsKvBaZpwuGLlHgsFmpsk/h4KD4PQqApCpTgvnkJI6EUG9pcvrrUsRI5aBK0eByOYcCxbUSjUWQzGRimyWqWZTnPilQ0FKm1fKcapEAFggiv1+yPvnUr80g4WuxQCElCz9vfjisJwZNPPgnyta/BzeUAWfbPTbNtxA0DOU2D9dOfIv3Hf5xX3ilQSA629EyFOjwXwGkqYTKTwPzMMLJmFH99x+35b2rUxKUORBcjerBMIgf1CBLbtYLPZDI4dfIktl94YcNVAmEhPA0Id+lrdo47eO2k+Xl03H031OPH4XV1IfWyl8HevJmNC/z70XbtYmMF+Iqe66TEExQ1TWzZssXf5viddyL6f/+Hjh/8ACSXg7VlC+Ze+Up4IRqxUVGlFAj5V4Md6IAbjUZDpV8I27h/DkKnoBZEDSil8FwXnd3d6Gpz+epSxwo5aBKi8TiyMzNwXBcxRYGiqiy9kM2io5R7YLn63wYgBjc/csBfp7VOlu9/P/DZzwIPP7wgTBwYAP7u7yCvXYs1AFavXg3vq18FFS2k+UNPCIFumnBkGe6hQ5icnIQiy3l1yOp3voPfv+ceSMPDrKV0LFa2D4UHYIwSTGYSmJsdxJzRgTfecVvl6wAWynbbSBBUPsg7tg3TMNrTQEXUqy9BkiDEuUAD1QptwBNPPAFV07Bhw4a2pTIs02TEiZCWdPwT0B98EMOf+Uzesx95+GFkn/EMzPz938MWOoJMBufwZ5jyCKEABUpGA3JPfzpyT396zcdUJJiucu/mNVTStCK9QMl9AD7ZETAtCxQoEiOKqofVa9cu6ft0MbBCDpoETdNANA2eYcBzXda1kde/G6bpq9rz0OQVrkSYH3phQFYCil6rvCEJePObGTGYmWFNUApNRoKe9wFLZmGuFM1kkLMs2JaFiTNnMDI8DH3/fsTf/nYQABHXhZdMgv7Jn2D6ggvwuL4N1204CA1ABsCxbAyzs0OYS3XhDXdVJgMlwVXYtI3h6UgkgozrwrQsJjBr9aTNy9HaXcIZBsG0QK1RgHadTy6Xw4kTJ3D+BRdAluW2OF36ngaU5tn9Nhskl0Pn3XcvlL0GEPvf/8W+WAwPDDBHkXVXX40tjz1WdsFiNKkBVckoZoXvurChUlgiVUgMbNv2DaaEpoCAVyk4DmLxOPpD9oc5m7BCDpoEQgi0WAymZcG2bUQiEejRKIxcDoZhsLy0WNm38BhAyMJKPjAo19V+VZLy65Q5PG4Ygm3bAN56NO8YwB6+ZDyOA7t3IxaPY3xsDM96z3tK7qZ371686HnPQ/wNn8UPv/YNPP+Vf4lzazvSkvC9D9q0stZUFTnea8MShLDFaLitbovgV+jwaFINHyxKObUKhw4dgqwo2MRz6K0GBZDJZn1PkobEb4J8lSIXhCD24x/nGRQFP0cpxbZf/QrZW27BmjVroOs6MseOIf7Tny6kF8T7IxHMvPnN9R9n4JhK3aeV7txgQ6VYNFr1nhDiTj9lwV/39Qaq6kcHROrVcV2sGhqCvgiC0KWOlThKE6HrOqCqsCwLlFJomsZq7ylFLptd6JQW/FCgxrhRBGuWC/s8+NUGDe7HJwYAcP315Tun6TrOefvbccUVV0DXNHR+//uYTySKBghxLYZ/9jMQQvD8V/5lQ8dXuG2JG0O1BYRZ3xJCYHIleiuQt9UlSAyA+vUGjbj31QLTNHHs2DFs2by5KX0MwsDgUUUAddttR3/1Kwy/8pVY9YIXYNULXoDh669H7L//u+h96tiYHy2klAKuC4+r8kEIEoaBzZs3+5Pi/BvegNm/+Ru4fX0sVahpMK66CskvfAFoRi6+3H1a5vW8hkohdQZS4fjGfze5SNgnY5wY2LYNPRpFX3+/X4a+ggWsRA6aiFgshnQ6DZfbdGqahmg0inQ6zdTJplm6ZKmgBLERSLIMp6DJkb8b8FK/OieUPGIAsJ4L73kP8MlP5vdm6O8H3v1uKKqKdWvXYmhoCOkf/xjZeByS6yKRTrMVDJ8ICABaKqRr24jcdhuU++4DLAuIROA85zkw3vzm0O1cRfVCu6x4NU1Djq94LMs6a1ck9RogtYvqHD5yBACwafPmtuzP5h0XPUqRqDOdEP35z9Hzmc8AWCDV0vw8uv/hHyBlMph7/vMxNTWF8fFxDFsWRjzP/x5o4HugALwSmpjc7/8+cqU6s1YqjQ6BSuNaqS0WNVQKMXGX3DpPK1q2DUppnt6AUgrLtrH5nHMQj8eXfFnwYmCFHDQRkiQhkUhg3nGQ46kESZah6zoM0/TTCyVvRLFianASE6HESqVg9TzoZd+/dSvwuc8Bx44Bp04BW7YU9XHQNQ1wHGQ6O5H1PMiUIppK+XoAygnCI48+isHBQQz09yOiKIi/8pUg3KWNAKCGAfVHP4K0fz+yn/98TcfftvA7F5lls1kYpunbK7dqXyJP3LJz4yVx/iQTcj/1Rg7aQQ5s28aRI0ewcePGhQY8Lbw3PM9Dlrcwjuh63ZGK7i99CUD+RChSAPG778bX+fekRSKwr7oKI0ePFuXfxWeyz352XcdQE3hKr+L9X3DdPW5BTwEofOwMtSuUJgi2bbM0lSSx6873Z9s2+gcHkUgkqrabP1uxQg6ajHg87rdvNnneWdN1WFwUk81mEU8kWmeEJHJqlcgBUDYHWBIB5XlZbNzI/pWB/qIXgX7lK8h1dSFNKYhlQQv0I7BiMUyeOYOjR4+CALhqzx6cX2DfKh5++ehRKL/4BZznPCfU4QvS1dKJJ0DsdB498AIRpJbuGuUnVb9lLl9F+r+L68ErHmjg/34ZW6DcLJ1OgwJIp9N5upIgQSGB33O5HKtLJ4QJZSWJ1Z0T4v8sBS8odG0Rjhw9Ctd1sTVQntcqAkcBZLmrn1RCVKft3YuuL3wB6ugoKAB70ybMvvGNcDZtynufcvIkJL4dsV0SqFaRHAfXahq0665jwthsFrknn0T3D3+YpyMgAOxVq5C6/vqazkN8v6LKoup5F5Qsln1f4HfPdZHJZJjRkSwjFsLPQBg5lTtmoTfQNS3PJE5SFAyvWoWOjo6VqEEZrJCDJoMQgo6ODszyLo2apkGSJMRiMaRSKdi2Dcs0y68eGoweCHIQZuKvNKkE0RRDmuuuQ+Tuu+E5DszOTsB10TkzA4WnE4yPfxy/d845yBkGJiYmsOHf/m3B6VAMNOLhBqB973slyYH6zW9C/+53gVQKkGU4l10G46abQDo7IYFpMVoyGBSUZ0V0HTluhFU2WtSEfXmeB8d14XJ/fpcLznwiEAgJ50WmAlqXQi2MTwzE+4MEIHgYWJiggoY4BGChXM+DY9vIBRTz/r44SSgkDoSL9Vo1YDuOg8OHDmH9+vWhXPYahRDVUUqZtXbgvCL33YfeT3wCwELETzt4EINvexsmP/xhWNu3wzQMnJmchPXooxgMeBCAEF8/ILC6pwdmZycsbmiUefnLMXPeeej41regTE7Ci0aRfc5zkHr5y0On5QoRpjqm6F6r/GZ2LgXEIEzqpRIxANi95vsbBLwkbMfBuo0boSjKSqv1ClghBy2ArzPwPJiWxRqE8BBZzjCQzWbR2dFR+QGtU2VfsW1z8H3g4fxKK2papsNjvfjc5xB55zvhzs3B7OzEnOuiK5eD+aEPAeecA4CZCa1ftw46pQvXhxs7wfOYgpYQ5KamcOToUQwODiLBc4aR978f6n33LayUHAfKAw8gcf31SH/jGyCJRNv0B7qm+QI023GgNSh48rhZi+u6yBkGLMuC7ThQFYWlkfj7aHAiDtxDspiAgxMxkLfq96tdEBCwIj8lk0gk0NXZicLmYX7Ugd9PIs8biUT8KJXHHffEe32BnDhH8TqlUCQJkqJAliTIsgxZlptSh378+HFYllWywVK50HStkObnIY+NwRgchMV9A+LxeJGorufTnwYK9ilSRB233opvv+pVmJubAyhFRyKBayQJpNxzTQhMXnIo/AoIAOPaa2Fce20TzipwfBX+LioGQkclBTEIWCOH1WRIVSITjm0zcTgWLJMppejq6UEsHkdnZ+dK1KACVshBC0AIQWdnJ6anp2G6LnTeR0B48Du2jXQmg0RHR7kNsJ91EATfQjlk5KBSekEM1k2DJIF8/OOIU4r//eUvYdo2zjn3XIwMDaFQi+xt2AD5sccWjpVPXGJ1OjM8jMcee4x1s4vFsJFSXHHffQvnFfhJs1lEPvUpGO9+t/963lm5LrSf/hRkehrO5ZfDPe+8hk+VcL/8HC9lrYUcBKMBrufBc13fOhZgrWcd14Uiy6BYmPglwtr+EkIghwjh13VefJvVjl+cbymxl8dTHJTS/EiH57HWufx7dhwHLhaID+GrSkWSICsKJE4cwp6f53k4ePAg1q5d25IVo3zmDHpvuQXKqVP+PWauXYuxd78bSnd33nu1vXshlbLaFq6F8/MYIgRbLr8cg/39iESjyB04gNi995bct3HZZQA/JyqIdIsU+JIklV181EQMOEHMZLN+r5VEPB6KGBD++UpIZ7N+1ZgmesbwdIKqqm0pNV7OWCEHLUIkEoGmacxS13EQ5cK0eDyO+fl5mJYFOZtFtNwgVWcFgyzLACE1GbpIpLiTo3C4azavFivSeCKB7OQkXNfFxJkzGBoaygsRGm98I+Kvf33Rak4cZed734vnd3RgcnISExMTGP7CF1hPeYBFHAqumfLAA2z/gmTwwU3/7ncR+eIX/RUZ/frXQQcGkPrUp0BLeDyUQ6lhSkSKXMeBZdtlCYJHKRzHgcPb9waJgL9tnlqRZRm6qkJVFCTicUR4/XdQI7DY8LsxliEmEiczACCuiK95wAJ5cHmkxHVdVprLc96258FyHP98ZUWBoihQeISh3PNy4sQJGIaBc3iUqhAN3evZLAbe9CYQ08wjp/roKNa99a1I3n03oKqA5yGVSoHu24d+MMLjdw8MRG4A4OK1a2EH+j3MvvnNkNJpRB58MG/X5o4dmObEl4poXxMqn8qCh/NLReBqEca6nlc/MQiz7XQaIARxQZoArBoZ8VO/K1GDylghBy1ER0cHpqamYFLqRw8UPqjPz88jm82yFWY5Bktqt1gWK0YxuMoh28DmPewtIgZBaFwgJBMC07IwNTWFgYBLmbdxI4y3vhWRu+7Kn/RkGdn3vQ/o6YECYHh4GMPDw4jF46w+29+A59czE0mCa5rYvWcPuru60NnZiY7OTsj33YfIP/9z3nERADhzBp1veAPm/v3fK56DNDYGMjsLd8uWkhazInpgGEZe9MAnA/yfGyBy4kxlWfZD6pIsQ+ENvQRsx2lpbr4RCI+NmhpgBXLUgjwEew6I6IIgCyLKINItlusixyctQRQURfHvf0opDh08iFVchBYG0V/8Ah3/9m+QZmZAIxHknv1szL/iFSW/666vfQ0Sz2/nnRYAOZdD+tOfxoMXXYT5VAqe5yFmGDgnoB8odT3sdeuKXp5+17sgzc4i9vOfA56H7LOfDY8/N/5CosA+vVUIRhBqrQaifPIWxCAeMpUQFFaWfxNBJpMBeARNjK/dfX2IxuPQNG0lahACK+SghdB1HbquwzRNmACE/EnTdURjMWRzOWTSaciEFDUE8VGjQJEQAkWWYfHQdFhyAHCCwIVsrYamabAdB/39/TgzOYlMJgNFVdETMFyxn/c82M95DrTvfAfS6Ci8zZthveAFJQdn56KLoATdGgvSENnOTjx54gSe4PXTkizjhd/8JntrwbYIAMzPQ/3lL2E/85lF+1J++1vE77gD+P/tnXmUZNdd379vX2rrdXqZ6Z4ZSSNrtaTRLiNZxgbbEMyxE2MggcPBiRPMIWDAWQ4QtgQOkIQlQAI2xo58CAcbg22wiY23WJK1WJrRSLYseWYkzWj2Xqte1dvfzR/v3tuvql5VvaquHo2k+zlnzsx0d9V7r6r63e/9Ld9fvc5rN/xbb4Xzn/5TVx2JQcVB6Pto0HOJ6Px4YCsqwBYzVdO6hEAhMsWHLzUkEzkoyqBcNitU7Pw8x3HMRRaiCAnoeN4oQuJ5UKhYOHf2LJxmE7fedluh86n93u/B/tKXts4tCFD+27+F+dBDOP/Hf9z2GSSEQH/kkfaugI5CzV1HjqD2+tdjee9e1KpVTExOInzsMWh5A85ALYt7dLkkExNw/tk/6/q6LMsgbEYCdq4Dg9FWczKkMHCaTYQZYVDE5IgxSBgkcQyn1QJYESgA3TQxRSOB1Wq18LFezQhxsMNUKhX4vg8vilK/fXrjNC0LETXKaTgOKrI8NpcuVVUR0BC1MWQbHaEh951eYjRNQxgEsG0bE7UaNjY3sbG5ycPlHF1H8MM/PPD5gh/4ARj33QdkFl5ga8GRf/In8dZ77kEQhtjc2EC9Xoe9sZEuZPTGxmswqLCI/u//Rf3gQVTKZb7QKU8+idIv//LWzyNdCPQHH0T5fe+D8/u/z48dRRHCIIAfBKnPheti4ctfhnb6NML9++G+9a3p1E5V3bbH/qUgChgxTe8MEzkYVY4ywWAYRlrDQOszWESGAAg8D7P/83/iPceOQfnIR0B0He4996D+kz+Zu2tXn38e9pe+1FUoCADq2bNQ//RP8cx3fRc263X+WfoXzSbKtNiSDy/KPHfJsnDw4MG241z4L/8Fu/7tv4Xa0bIbLS9j7Zd+aajXQcKWKOOjsnf4M8GePRlClDJhENN7TGFhMOgYdBNFCEkLgaMIkiTxDpGF3bvTomWa7hUMRoiDHYa5JLquCzdJUKIfYuYXTpIEYRTBaTRQqVTyWxzZL0XBHmNVVSFJUlu4ujDZ1rfhH10YXdd54V2tVkMURWg4Di6srKStn8O2mSkKmr/7uyj93M8BtEKZnb//rnchohPkdE3D7OwsZmdnISlKusPLtEgCWwVd5zY38dXPfx6KLKNSq2GyVsOdHQ51HEmC+q1vAceOwVtchB8ESOIYhO5cJ7/8ZSx/+MPp8QDgy18G7rsP9V/4BYS3397/2pIE8rlzgK4jydZBdHwWLpU5C2xxKtpdQDDczlP75jdhf/KTkKII7t13w6fRHYmlFFQVYGIhDDH1nvfAWl3d+kz4Pkqf/zy0b34TZ373d6F1GFVVaESp8xxZfUDpi1/Ekfl51KpVVCcmsLS0hOCmm0AefLDnOXu33tr9RcvC+Q98AMajj6L0xS+CSBKa3/u9CK69tvBrwa476w/BW0p3esogTXsqPeoPOiFJAod1JUgS7JwOjt6H6i8Msp8fh6YUTMuCLMvYNTcHhaaoiqaUBEIcXBQqlQo82n5m2jYUqmolWUapVELDcRDHMRzHSXPhOQV1ALZSDAMEgqqqkDKV4IVVPbZu0uNwa+wHU+9hEEC1LExOTiKOY7RcF+fPn8euXbuGFgjJa16Dxqc/De0zn4Fy5AiSqak06tDjhhBfcw2UI0e60wo0ejD5Uz+Fu6ensbG5ifrmJtbX16GfOtX2HjALaPY18ld/heZ73sOfU9M0WKurmPnzP+8+gShC9dd+Dev33Ydkair3HO0//3NYf/u3QBimxyuVELz73QjvuGPg66E+/TTUo0cRXXYZoiEXnO3AIgcDxUGrhdJf/AXUkycRzc2h+cM/jKSfj3+SYOrnfx7qt7/Nv2Q88giSD34Qq3/4h0g6OgIkSULpU5+Ctbqa/p99nf6tnzoF5e//HqfvuANRFKHpOGg0Grj9hRdgdrZqZqIBBiH4/re9rW3xrf/4j2Pi4YchdVqMAyC6jvoP/VDPy/JvvRV+nngoSJdxVKbeZqeQqCAoep8g2eJDpCPuCx+r/4m0vU+B76fti5KEkmXBsCzUpqYQxzEsyxIzFIZAiIOLgKqqKJVKcBwHDddF1TAgUzMeIkkoM4GQJHAcB+VyOb9WoGAHgyRJUFSV516L/kJ0qf8dFAjsnMIwhEUVPqs/cF0X5y5cwK7paZSGuIkASAu5vvd7EX7v9w78Ue9nfxald78bJNMdwHaX0Q03QL3qKswCmKWjbQFA+u3f5rUMwFaUgdAowblTp/DVL34RhmHANE2UbBt3/OVf9j4JQmD92Z+h+f73d32r9Ed/BPPv/7798ppNWB/5CAIAyLPAJQTKsWOo/eIvQm40+JeTSgWbv/qriHtU6gOAtLqKyu/9HvQnnwTiGPHcHJwf+zGE3/Edvc8fgPGlL6H84Q9DWl0FJAnV3btx7l/9K8g33dT7MV/4Aiq/93vcZ0MHYH3mM3B+5EfQ+oEfyH1M7bd/G1pGGPDz3tzE5Pvfj9UPfCDzMqTh5VLGIbANWhNgfPKTeIh+P0yS9HdxYQHTZ870FOHJzEybMIiiCK6u4/iv/Ar2/rf/BnVjY+t7s7NY/bVf6xp5Pg46IwZbl7az9SesO4Y//4D7BBMGMRUGJWpXXCTa0O8K8hwbG9TB06A21XOLi+lkR1kWtQZDIsTBRaJSqSAMQ/i+j4bvo6JpkEF3noqCcrkMp9FAFEVotVqwSyUoHa1NAAp3MCiqCmkIcUCAfItkdiMYs0hgkYOA7oiBdKc5OzOD1dVVNFstnF9dxSzQXoMwRpLFRTT/5E9g/uf/DOX559PXVVXhvelN8H76p3MfEy8sQDlzZmsXyt4jWU794N/1LhxcXOT+Bq7rwnrxxdTtER03O/rahocP4+uPPgrTsmCxP7KM6c98pue523/zN4jyxIHjYPJnf3arrZMiNxqY/Pmfx8pHP5o7ZU86dw7T//pf8wgFAChnzqD2m7+J5o/8CPDmN+eeh/Wxj6H0kY+kzwEAhEB/8UUs/cqvYOM3fxPRddd1H+v8eVR+93e3/p/5Xvm++xBefz3CTq+JJIHx0EM9ZwUoZ8/iG5/+NM6Vy3BbrdQ2F8CPNJtbxkv8AVtRn4qi4O7v+A6oqpp6L0gSgmuuAd773p4LXiNTA5MkCbdHJldcgfMf/jCUkyehP/88gssuQ7x7d+5zjIO82iBmi70T0y2ZJXLeq9LL+6BTGNilEmRZRpQTYel6TqQeF72uIumIosbUkRRIazwmpqZ4x8vk5ORQxdkCIQ4uGpIkYXJyEisrK2kIMwhQUlVera4oShpdaDYRBAFkmjPrGUGgO59euxuVOufFBX4JPd/HT//0T6Ner2N2dha/8zu/03ZctrsLwhC/+Ru/gW8fPQpNVfHv//2/x9VXXTXS68EshcPMfAUgvclM07x6s9XChZWV1DFuh4ajJMvLaP3pn6bFTFEEoub/SiR0Vob3oz+Kud/6rVz/hXjvXkzcdRcmOh6rf+ADAB2803ljJQBiTUPDcXD+wgW4ngckCa585hlcwWpGmACh77UEQHJdnH32WWgzM20ugruyfg/dF4Hyhz4E533v6/pW9bd+q00YZCl99KNATtcGoij9XsdrISFdSKr//b9j7UMf6rreMv1a3iJPAOh/8ic4/nM/x4Wy53lILlzAP2GvB1sAqRMgY/LZZ+Hdey/m5+ZgmiZOnjyJ1ZkZ2CdP9l5grrwSu3btApBGsaIogq+qOPXe92L3H/9xl0BovuUt8O6+m//fdV3uRMna4+KlJbgZf4JxI0lS71knmfMdpzhICIHSQxikh83xPMgRBmyE/SDkAXVPec/gUF8DTdNglcuoTU4CAGq12qt2Oup2EOLgIiLLMqamplKBkCTwowiGqnIHOFXTYFkWn+gnK0rqB6AouQVw/VCpGVJIK7b7/bRhGHjb296Gj370o7hw4QK++tWv4t7sYkDFyB//0R/h20ePQpYk/MR73zuyMAAATdcBQvjM9ixMIEiyDMdxsLK2li42O1lMJEmQaIQle6NjuxGfFjnihhtw4Sd+AjMf+hAkujslAKJrr8Xmb/xG7lN7b3oTSvfdl39YAMoP/iDuff3r+bH9IICaJCBf/erWD2Zy4Al1TXzq8cfRsu303On33vXww21pEnZt/Dwfegif+9znuJhQqIfC9z37bO/XhhDIf/VXwPw8Tp48ibPnziGJY8w88ghm84QIvanL587hc3/3dwjprjKKIsRxjB984gmYHYsbX+wByCdP4hFq9GNZFk/P8F1kZuefZd9tt2GBpjLWNzZw6NAhrP7Ij2DpN34j30xLklD/8R/nrzskKW0l1TTEb3oTnr/lFtT+4i9gnDiBqFbD6jvfCWnfPug0ZO/7ftoySQgqpdLQ46lHpd9wqraaoTHSTxiw4/EwPz2PpuvyrgQuDDC4M4WJyx4H6i1Emk0QpAZ0M7OzUOjwpqFTkwIAQhxcdFRVxcTEBNbW1uAlCRAEbWF/wzBAkgQuDUnLkgSNhp/lzjRDnwiCoiiQJQkxNY5R+4XUCMEb3/hGfPazn8Xq6io+9alP4e67726LHnz0vvvw+OOPA0mCf/6jP4rbt1FABYB75wc9dquyLGOGRRAcB6vr6yBJglq/grUxwF7FMIq4KGCOiqqqphXQ3/d9WH/b26A8+SSUtbW0Ur1S4eYznXg/+IMwP/tZyCsr/Bi8tmHPHvjf/d1bx5fSoU1485tBPvSh3HY6IC1yu/sd74Aiy1vGQHEM4+/+DsRxcs+DAJA0Dbvm5lIDoQ4XQoku6iQjNhiN559HsmsXvn30aOpIKMuwT59u28Hm9dbvmZ4GqVa5mZOiKFC/9CWQer37/Ohj1YkJvO37vi9NjWW+H993X1tKJ3tcaBr8u+7i/3/yySdRqVQwf/vt2PyZn0Ht93+/fccqy9j4+Z8HoVGDThRFgTI9Dfe978UmbUcFAOJ58D0Piqoi9H3eLncxQtYsYtBv2edphXF1KnR08vSDZLwdWq1W+plCaqGdfX36dabIPRZ/Lgp6PLZJrZJlWcbk1BRK5TJ0Xd/x+8UrGSEOXgJM00S1WkW9XocXRZCjiLfaAKkHQpwkCIIAzVYLFXpTjQmBjI4bcJ8dgqqqiOmOrZ84iOnC9/a3vx0f/OAHceHCBfy/r3wFb6A57c9+5jP43Oc/DwD4J9/3fXjLW94ylkJFXdMQ9hAHjJnpaciShEajgbXNTRAAEzv4C5/QUKjv+7x7Q1NVmKVSm2MfAMTXXw+2b+470lpRsPFnf4byf/2v0B96CCQM0wr2O+6A97735f8SVioIbr0VxqOPtn2ZiQr/TW+CpqpdPhbxvfdC6lEAKQEgb3wjXnv99d3fNE2A5muzu3PG1Pd8D7Cygntf/3pM0K4A5YYbQB54oKsLgJ0nVBVX5bRpRv/iX0D69V/veY7uW9/a9VoDwMZ//I+Y/pmfaVsg2aew/m/+DT/nM2fOYGVlBXfdeSckSYL3nd8J7+67UfrEJ6C8+CKi5WW03v52oEcKKYusKDAtKzUzoxNVkyTB5sYGCADbsi5K37yEAZ8xyjgjB4Mijp1ItPam6TjcArxTGAD5hYiEpS163FcGtbo2aNTAMk0s7N4NRVEwOTl5Sfl/vNzY4UZYQS/K5TIsywJUFY7rIukIz9q2DU1VQQiB4zi8oI17p2dhvwAdX2e/lP38DrKPuOeeezA/Pw8A+NSnP404jvHwww/j/9DF5s4778QP/eAP8mNuVx7ouo4gx3K2k6mpKdRqNaiyjA3aUjhuCCFwXRcbm5sIwxBEkqDpOqrVKsrlcu5i1cagm5BhwPmFX8Dapz+NtX/4B5z6P/8HKz/xE2jlpFUYzq/8Cvzbbmt/nWUZ3nd9F/y3vjX39Xd/6IeQlMu5tQ2JbaP1z/957rHct741dyEgAOJaDV5O50G8uIho797c85AAuN/1XbnHCm67DT4VKLzrg/4d7d4N9+1vz31cvG8fVv7X/0Jw/fVINA1EURDt3Yv1X/91ePRYCSF46qmnMDs7izn6WQYAaBqa73oX6j/3c2i9852FhEHb9VAr7Eq5nIb1ZZnfPB26GO4kwwwz6ip8HYFRChqTJEGr2URIjchs2y4UUSFJki8MpC2H0364rouEpqz27tsHVVUxNTUlChC3iUQuBdeUVymEEKysrCBotYAg6BoGQpKEeyAospx+n4YLWQit7Re4462MwhB1x4EE9AyvMS8ExkMPP4w/+sM/BADce++9eOCBBxCGIa65+mq8/9/9u65FcjtmSV/+yldgWhZuveWWQj+/Qd3oojhGtVrFFC042i5BGMKlhVNxkkCjc94VRSlsJZ0QMnBMdtvPJwnqm5upqU6p1H9qo+PAePBBJLqO8HWvgxMEvAXUzCm0IpubqP3yL0N99lmewogOHMDmr/0aSJ92ruov/zL0r3+d/19CKijW/8f/wKph4HOf/zy+8w1v4JEDAIDrYuqnf7ot3E8A+Lfcgjp1kuyF/Zd/Cevv/g5yo4HEsuB953fC+Zf/crDQ6sPRY8fwxJEjeOMb3oBah+9BPwghgxd4QtBstfhQM40OVgMAEsfQaPvqOGsP+ubfc/B9Hy3X5fn20Q4qFfJTyRJHURrap78Dlm3nCmo2iTP7/9zXq1d6IYcLFy6g5booVSq4+ZZbMDk5mW68BNtCiIOXmDiOU4FQr0OVZZQ7qvKTOEaDDijRVBWlcrlL0beZzWSNWwjBxvo6EkJQq9W6TGkIcroZCMEv/OIv4sSJE/xLS0tL+KVf+qXev3AjfoQe/NrXECcJ7rrzzsKP2djcxObGBuIkQblSwUwP86AixLQNLQxDXuxmWVZ7qJ4QxAV6xkmSIB7ydfA8D57rQpIkVIeYEue0WgiDoKc4AGjoNgggr62lBksFQ9/K88/D/tjHIHke/NtuS+shJAnr6+v54oCiPv00jC98AT6A9be8BeXLLx/8mgFj9dEIowj/9x/+AfMLC7j55puHemwRceC2WgjCEIQQHk1i9UFBGPJrMU2Td+Nsh75dCT3wPA+u56XFzSN4K3CXzSHOPQgCuK6bRi0UBSXL6lnzkBXRbIPT9hkYQhQAqenR2XPnEIYhbrzlFiwvLws/gzEhag5eYlhubCUIEDkO3I4xzjL1QGg0Gghpa1dn9S0z+eA99wCYDbKiaYhpi1ah3Kgk4Q1veAM+QnvXa7Ua3v/+9/dX4gPajnqh6Trczc2hHjNRq0Gmi1XTcQBCeOFiUQghcOmkRFZXYBgGLNPsvqFLUjF72BEMo0w6lIskCfwg6LnQj4IkSSC6jiQbWi9AvG8fGjmGTIOIrr4a7oEDaDpO2l1zkYUBAHzrW99ClCS4dgfcID3fh0/rY0qZXbEky7BtG3oUwXNdRFQs+EEAyzQHp6N6ULTGoJNtzVWQtlwgi0AISYfK0VoVVVVh2XZPzwOg/Zrk7O8MK3wc8jPRcBxEUYTa5CQWFxeFMBgjoubgEkDXdUxMT0PSdXi+35WHVxQlnXUuSalKp6YrDKb2k8wQIfbLxvwOiuZEz507h0984hP8/77vF7rBjXIz0jWNh2iHoVqtYmpqCrIso9ls4vyFC4XD/1EUpYWgnoeY+ktUKxXYltXfdXLosyyAJPHdneu6ha+Bn8slFvRjN/5CMxXGXCjWbLVw9OhRXHngwNjH8YZBwM11LNNM23A7UFUV5XIZNhWYhBC0HGfLB6EgTGSPHNClFf3Dvrqj1hcwYWCYJjc46n96OedHX69hrzmKImxsbiImBAeuvDI3oiUYHSEOLhFs20Z5chIygFaz2SUQmAcCkO5ims1m7i9TnCRbkwYlqa8ZUufjG40Gfvu3fguNRoOnNzzPw6c//eliFzHkDUbXNO5kNyyVSgXTU1NQZBmu5+HCysrAxdX3fdQbDYT0tSjbNiq9rKo7kAo6Uw4L87GAJPEFqCh9+863d1ojMcw0xnE7bj711FMwDANXHjgw0uN7nU0URWjSMd+Grvc305Ek6IaBWqUCQ9MARUEYRWg2m4XqUVj+fTuZ3mHHNbNIwTBHjKMITrOZCntJgmXbMDuibrleBJ1RDSm1jx/lekmS4MKFC0CSYHJyElccOFB40JegGOLVvISoTU5CL5UASUKTOsNlMQyDFxkFQYCm43SFHpnveUwVusYiB9QMKUv2l9L3ffzX3/kdnL9wAaZp4j/8h//A87b/+I//WLxDYAiBYJdK8H1/YDtjL8rlMqamp6FIElzXxYUeEQRCCJrNZjr4hRBomoZKpTJ0C9o4qsC7nzTtk5eQvgeFIjw9ulO6f+ziSgQe0i5wkx6nNFhdW8OpU6dwzdVXt7UED0PeKxXHcTrhD4CmqoVz+JIsw7JtlOnvakLI1mLaizEIA4BuDlAsejOMiGCEYQin2UyNtmQZ5VIp9/eol0Bkx+NpkxGuN4ljbGxspPc/WcZNN988cvpG0BshDi4hJEnC9MICDMNIW8Fara4IgWEYPMUQ0jHHnW2QQPrLF9OhJDK1LM3enAi2wsBJkuAP/uAPcPy55yDLMv7tT/0U9u7di3/6T/9pepwwxN/+zd8MezEDf4TlBxuZAUHDUi6VMDMzA5VGEDpTDHGSoN5owA8CxEkCyzRRLhD+zIVGD/KubDvLMHPlkwpGD4oe66KLgyEiB+NKiRAAR558EtVqFct7927redr+Tx33JKRuoyXqRDkMqqahWi5Dpa9Hs9nMjZSxIUnbFQas2I8kyeDwPob/fHieh1azCRDC0yg9xVjHc7NNC4tSJDk/UwQ2vXZ9YwOSomDfvn3Ys2fP0M8jGIwQB5cYiqqiNjMDi+4mQxYhyNw4NF1HpVKBTN3xWLtjJ+yGI8syiCQh7owe0F/OD33oQzhy5AgA4N3vfjeuf+1rAaRdCrfQNsMvf+UrOH/+fLGLyIYX+/xYpVyGBKC+DXEApCmZmdlZqLIM3/Nw7tw5JIQgCENsbm4iimMQerxt56M7XSopnVa+w8JSRmEYjhxJ6YSFmC8WrEVtYJpmjKLl1KlTWF9bw/XXX789MZRdmGmkKaG7+VGEAYMVFOuaBol+Pls0gpUeajwRAwA8dSHLcl9xMKyHQUKFEqsv0A1jYH1B9tm58CFkpCJLRhhFaDWbqDtOakBVKuFgwTZowfAIcXAJotk2LNuGXS6DzUdwOiIEiqKk+XJaGdxoNLqGGDFUTQNoZTGH3oz+5hOfwFe+8hUAwDve/nbcc889bY99+9vfzj3T//rjHx/uQuhNqNdtT6WtmY0cK91hsS0Lu3btgiLLCMIQJ06cwObmZnqDpx4R45rlLgHdvdnbvLkrigLdMCBJUjp8acDxgcGh+R1Jg/QgydS5FGn7HAdxkuCpJ5/E3NwcH560bZiXARsvXCpt34pYkmDbNmzTBOhEQodW2Y8jYsBI4higRba9T6VA502GOI7RbDYRUcFq2na6cRnwHnceI2HmbSOKrMD34dLIS+j70A0DV155pZibsIMIcXAJIisKNGrLykLgURjC6YgQyIqSLnrUSbGZGVWbRdd1KPSmFAYBEtrT/ZWvfAWfoOmCe+65B29/xzu6Hru0tIRb6RyFhx56CCdPnhz6evrdSGq1GupjEAdA2l++a9cuRGGIZrOJC6urkCWJi6hxk93xjSOEb5kmIKXzMPwxRQ8uVmohW4zY75jjtFU5fvw4Wq6L6/PsoEfEdV2ENP1ml0ppSm5M6NRhkQnL1qA6hCHpV2/A0gjDpBNCes9JWH1Budxl190PdpztvufMu4EAaLkudNNEtVLBVZ1jvQVjRYiDSxSV9gurmpbm9hQFcZLAaTTabiiSLPMhI4QQtFqt3FZHltNmjm5PPPEE/vQDH0CcJHjt9dfj3e9+d89zecc73gGZ7jg+/rGPjXZBNBzfeZuoVCpjEwdAukixlAuzW27RavOdoJcB1ShIspxWfWNAayO76W7raOOFh7QHLKbjGgjkeR6+9fTT2L9/PypjmNZJkHYBMTOjUg+Hv+2iUEGvqmo6h6DZLDRWvQhJHG8ZC2WhtTLDfF6y9QXKoPqCDLyWKSOceZv1kBBCUuMp34eENHqgqipkWcbV11yTRkQFO4Yo8bxEkWUZ5sQE3PV1fkNhFc+O46QDX2hblSRJ6YATWpTn+T4SQmDbNlfvBjXcCYIAlm3jxhtvxEfvu4//Mve7ae/evRsf+d//eyzXxXcv9MZRrVbhum46HGqbN+MW7fBQFQVLS0uo1+vwgwAXVlYQVKuY3IE+aAmZUO0YdummYfDhPq7rpvnunGMCKCRGiqYgtks2392PcUQOCIBDhw+ni8SYdo9B1svAssaWguqCLtRl205/n5F6NJQKziHoB4scZEcjs7RF0WgB+9yxNILWyxysA/aukiRJf3ab7zNJErRoFEcBIKsqQjpcae++fdi7f/+2nl8wGBE5uIRRNA0G2xXR8LimaWkldavFC4QYpmWhRAVBEARwMq2OqqryxTfI1CZISG/oJEnSSueLcF3Z2wzrWNhu9KDlumnokZC0XsO2MTc3h3KpBEWSUN/cxLnz58e2S+tkbOF7SYJN86jbafNsf8qdTy3wtMKgBW4M4uDUqVM4c/o0brjxxv6+AwWJoghuqwUJgDnIy2BU2AKdMSkr2XbayUBbl0fZXTPyOhV422DB97+rvsCyBpqDgZoXsbbEvJ8dpsYBSCMgDp1hIcsyTNuG4ziAJKFWq+HGnCFggvEjxMEljmZZ0FkEQJJQLpX4zavlumjROeYMnbY6ypKEKIrQaDT4jdswDECS0tn0Oa1GkKQtkbDT7nv0eOPoWHBdF57rgiRJOhshE1GZnp7G5OQkFEWB73k4e/bsyMZL/Rhn8Z+qqtANA7Iso5XnsHcJphV4p0K/yMEYRIofBDh8+DAWFhexe/fubT9fTCNxkKR0NPdODOwhBMiZOijJMkqlEhcITkGzpDyykZtRIhCd9QWlcrm/SKLX0teumXUojFAAGcdxWlNl2+lQtDiGqqq443WvE54GFwkhDl4G6OUyVFYIRHeWtm3zDoRWhxeCqmkoVypQZLmtTkGndQdxFOWOcWYhcmArT7jTIkHVtG11LHieB9d1Uw8Dy4KR06pYqVQwOzsLVVURxzHOnjuHZkddxjgYp4uiZZqQ6ILSs3vhErFP5jtH9E8rjOOzdOTIEZAkwU033rjt50qSBA79HGxriuEg+oTZmUBQmEAYMYLA6g0URRlqPgKAtL2yo76g1wJM6J+ELvp9J1AO2YkRhiGajoOEEOiqirJtp50dzSYgy7jx4MGx1JcIiiHEwcsASZJg1GqQFYX/shmGgTLddQdh2BYhANoLnxJC4DgOwjCErutthYm9jscgtAWJ9SnvBLVaDY1GY+jFww+CtGe8jzBgmKaJubm51GBKknBhZQXrGxvbPPN2suJq288ly7zewPP9bVe172RqgX3upD6dCgTbFwdnz57FyZMncf1rX9v3vS4C690HIZCZMBj3a1Tw+ZjToEJ/vtlqDR0V4p0KQ0QN4jhG03F4rYWm6yj18C9g7x9PH7Biwz7PTwgpNKmUEJIWQNLr1jSN10utr68DkpTWGezbV/jaBNtHiIOXCbIsw6QCgaHpOsqVCmRJSs2QGg24mTQDaz/SNY23OrJK4iAIBt6s28xLdlAkVKtV1Ov1tCiy4HPHcczNZAzTLGRupKoq5ubm0tZGSUK9Xse5c+fGXocgAWN5jVRNg6brkCUJzWx64SI7Hw4iKZhS2M5Zh1GEQ4cOYdeuXdi7DSdEALyrh513ybb774BHYciiPBZBYO2xw8zZkGSZe6AUsk2mz887nyQprS/IFDBnfrgtMsS/P6auExYZ8H0fBOmmp0Q7tRr1OqI4xsTEhKgzeAkQ4uBlhKJpMDpGkqqqimq1ylsZPd9Pf6noTlOiaQg2DjiMIi4M+hW78WKmjptAm0gYE9mOhV4OhJ20XBdxHENRlKHm1kuShKmpKUzRoU2e74+vDiFTACbL8liGC9mWxW/+bMEYaSrjDqYgihQjbve1eOqppxBGEW7a5iLBIgYxNQwql0pbofhx0Fl4OASyosC2rFS8F4gWEYDXMsT0d3JQvQHrdsqOWS531BewCYnsdx0YLfLULznC0mVNWucgyzLKts0LIH3fR8NxYJgmbhSzE14ShDh4maEZBvRSqW1xZrsOVogYU8dEVqwoSRKv4Ge4OYOd8uC3hI6bA6tJGIdQYHlEp9HYOk4fZ0XWkglg5HBwuVzGrl27oNE6hDPnzqVh5jEyTCSk33OwG6breelgphGud1jL3GEo0sa4nVfhwsoKnnvuOVx77bXbqgvICgNCCEqZ3v1xiF0JGDrP3omqaTA0DZKioEWNf3KPxd5LuoD39DigJLQ1kC3GoMOhStmppITwmoK84wxLLydMJlDY5Fld19MIJ62rSpIE6+vrUDUNr7nmGkxPTw99bMH2EeLgZYhRLkPN2S1ruo4KjSIAdERxvc5bk9jQJl1V04FEm5uFdsys0K5XRTIhJM15jigUKpVK2rHQUZSYd7yIphMIITBNc1u94YZhYH5+HqZhQEa6CK2vr49cMZ639I5jjKym62l6QZbRarX4jXrHO0oKMkgcEGBkkRRFER577DFMT0/jsssuG/EMt4QBO9dKpuhuLMJgjDbIpmmmaY6cYlSCVDBmnQ4TNmCtx0wF1okQ0t91TddRYcZpyNQTAGnkI/8Ch7qG3JHN1EOBvQ+yJKFcLsO27baUVKNeR0wIdu/di/3Cz+AlQ4iDlylmtQo5J9Qm00K2crkMmc1dcJx0umOSQNN11CYmYOg6YqrQh+qx7nGTkLAVjuRdDgVvlqqqolQq5XsdsBZL+lwuPVdFUbY/RAlpKHzX3Byq1SoUWUa90cCFCxfGWocgjxhmzmJbFkAHbTFBN8ozjltOMGEIFPA4GIFvPv00XM/DwYMHR34ONnqZLaLlUmnk0c55cGEwxmJUFhELfJ/bOXNh0PFZYr9vnTUfrC2wRX/3JUVBqVyGZVmpt0mmwDAP0ksoFKBzUiybD8Mifrqqcuv37DFYOmHX/Dwuu+wykU54CRHi4GUKK1DMvSHRnu1qpcJziUEQoE6HMymKgqnpaZimiTAM4XseGrSbYRDsaAMd01i4s2A7ZJV2LPQ8rizD8zyEYZhOZBtj25kkSZicnGyrQzgzZj+E7doGS7IMmzrVBXT89LAL/U4MYsoOXBpHlCTL6toajh49imuvuQblcnmk52ALJNkJYbCDERxVVWHoOmRFgeu6qTDIHDNLHEW864Kdj+/76XAnFjU0TR4tyUb4+v0ey31Se33JCCWSJHBbLbTYlEu6ebHp5qXzOtbX1zExM4Pde/ZgampqlKMLxoQQBy9jFFWFNTHRUyCwHUg5M73RaTbRbDahqSpsOmGNgLqS0QjDoCjCsM5rhJA0z9tnQWMdC32eBD61hba2mU7oRbYOIaF1CM4QdQj9Xg++MG9jIdENg8/I8DxvpOmG4647GNSpMGp3S5wkePyxxzA5MYErrrhipHNjEQNWd8OKD8dCwcLZ7WCZJm9v9H2/5/GYs6ksy4ijCM1mE57rct+CUqXCByYNY6U86ic1jmMkScLTGQEVKKy2QNP1LpGaJAlWVldhlctjM7gSbA8hDl7mqLoOc2Ki7w1YoyE8MxNFaDQaUBQFiqLA0HUeomff6+eDkKWo8Q+bqUCShNcnZKlWq2hRy9Q8mDBQFGXbPe796KxDWFlZwdo26hCysKLA7SwprN0sjuPU6XJYWG55TAzqVBg1YvKtb30LjuPg4M03jyRouPMhIbylt9c5jrTzH9PY6Z7QRdykkzqDMOx5njEtDGaTWzvbE5nBUpFjjoMkSdBqtXirsUwLpkv0XHKFwcoKdNPEwu7d2LdvH6+bErx0CHHwCkDTdRgTE71vcnRRsmwblUoFiqIgIQRhFMF3XQRBAMMwtr5Hi7eKRBGyz18UVp+QZOY5VCoVENCOhRyCIEASxzDoroNVhu8EnXUIjUYD5y9cQDiGOoS+xZ0FkGUZdqnEowfxkIuUJElj7ekfWIw4woKzsbGBZ555BlddfTWfvTEMcRSh4Tj8vMo9jH1Ggb9vOxg14FbmSA2BmPdBmCOcE0IQBgGajgOfptxYeyIzPCt0zPTA2z73wPfRaDb5ubIiaKPHIKskSbCytgZF07CwZw/279+/c06VgqEQ4uAVgm6aMGu1vgIBhEClUQTLNKEqCiBJaDabaDgOd1W0aOsciyIU3aGOeoMhScLtoNfW1rp2MBG1eyYAn0QJbL93vh+ddQhBEOD0qVN9Z0AUrljfpkAwdB2KokCi790odLaskZw/CbYG+rCWVf44uoDFcQwiSdwrgLA8Nft7yPcoIQSPHTqEarWKK6+8cujriqIITrOZiiBF6en4NzQXsUOk7RiStOVq2lEDk1BrdOYsqNA04ijXvN2rYukMh9Z3yIqCcrnMU4B5z89aFmVZxuLSEvbv3z9ybYlg/Ahx8ApCtyyY1Wrv3T6rFQAtUKpUYNk2CCGob25ic3MzN4rQajbToSyDdqls0cscqyiapmFmZgZnzp5tK2RkxVUxITANoyskuRNFdllYHYKuaZAArK2t4ey5cz2LN4c5F2nEanAWbpaQVoF7fQon2wxtAMTZ+g9WNJr5mewfvrBnPjdtz5skiJidLluMOhdRSUrd9AqGtp999llsbmzg5ptvHnqBY978BGn0hzntDaTfgj9Ejn5kBhzD0HWAvm9RHIMgtQ6vNxrpYC6k7Y9lOrW1KOO4Ki4KaEEzIQS6afL6jn7XtbGxgUSSsJsKg1GiRIKdQ/SJvMLQbRtJksBvNHob39BFXJFlTE1Ocitij4489nwfBi0eYnPuwzBEvV5vm3rYE5ZXZxXLBXdb8wsL+MY3vpE6ptE5EiRJ0vB5HEOjfdl5t5u2havQ0YrD6hDq9Trq9Tp838epM2cwWauhUqm0LUCstqIQklTIoz7vcYqipHMikE6l1DQNCmtPQ/p6JOh47TsW++0SZzoV+lond+yEe32/3mjg6W99CwcOHMDExMRQ5xKGIY+iqDRiUHRR7yd5x92mmHOA/sZJVHjpmgY/COC6LgDw2hxCUvvwoVMnhIBs45piKkqjjEiWFYWnvAalrtY3NhDFMXbv3Yu9+/ahVquNfC6CnUFEDl6BmOUyjEol3RH2+0HafjYxMcFDkYSkbmuu6/LWQjbAiXnSO44zVK676E16YWEBSZLgwsoK/5pPrZ5VTePnFyeDnRnHfSuXpHSW/Pz8PCzDgAJgY3MT586fb2t5HFqYUAE3dB2AJKXGSLQtz2k2ESUJYhoJiAe9PmNY7FgkSS1a8Nb7ZEAAPPb1r8O2LFx91VVDPTwIAi4MNE0bShgA6I4cZFvxhjqT4rC6AnR2c2T+zdM4tOsgCAJsbGwgZF4Bup62O0rSYD+AzijViO9XNlLAhIFGNxIlWiw76LO8Sc3XFpeWsLy8jMnJyZHORbCzCHHwCsUsl2GUStxWtR+qqsIwDGiaBlVVYZdKkGlKwXVdOI4DTdN4LUIYhmjU6zzSUJRBN+wKvcGcO3uWfy2k4sDIVC9LmRt3p5dCV2RhzDs+TdMwNz+PSVqLEIYhzp49i/WNDSRJMvKiO0yLWeZBMFQVMS1W8+iusujxtludzsZ+55lxDcuRI0ewWa/j1ltvTVvdCtZv+L6fukZKUts0v23BFu2dIBspyBEF3K2Q/j9JErh0LDnrQpAkKY1Y0ZohVVUHRw1G9SygRD1EQaVS4QWEBBgoDOqNBlzXxe7lZSwtL2NmZmYbZyXYSYQ4eAVjVavQbTu3dZBDowcWzc+y1rRqpdIlEnzfh6brPIrAhEMRN0HujYDeIkGSJMzPz+PM2bP8BsmiBH13RvTG11mrAOxc0WKlUsHCwgJs6jZXr9dx5tw5PtBmWAp1MdAFJYljkDhGQggkVU1HO9N0UFTAyCp7zO3Q0xlxSOHx4smTOH7sGG644QZMTU3x906mbW+9ztL3fXiuCwmAvg1hwBbqUQcmFTzI1vOzqFu2xoOdB4X9zjUaDT6xUNM0WHQCqSLLiKIojar1+d3YrjRmoqCZEQV6RhTIioI4jiHJcl9hQAiBQwsWF5eXsXvPHuzatWubZyfYSYQ4eIVjT0zAsKzUmKTHjU+iuw+LToRjY58NXe8SCYHvp77odEGIogiNRqN4FIGJhB651oWFBb5DSZIkrXyWirvvcT8FbFn77sSYaSCNuMzOzmJ6ehqqoiCOIpw9fx5ra2vbms+Qu8AlCeI45s6I2QJAXdfTYk1JgtNqdVnX9j7YmMRB53vDQuYFaDQaePzQIexZWsL+ffvyz1Hq9ofw6W46QTqMbDvCQKJpkZ2qLZAAPj0xKwRyK/jjGC0mCoKgrQuhWq1C0zT+mY6iCCRJ+oqDUT/1URSh6Ti5osCiooBdGzP36vf733Jd1Ot1LC4tYXH3biwsLIx4ZoKLhShIfBVgUQ+EwHWBHsNZZKQdDEEQIAxDeJ7Hb7iGrkPXNAT069nFJyEEEo0i+EEA0zAK91dLAJ9cyG4rMzMzUBUF586dw97lZQDb8+zPpiDYDUyWpLYitO20FQJAqVSCaZpYW19H03HgNJtouS6mpqbSmQjDnjM9H2ZNHFPr3+zC1Tktz7QsRHHMi0vL5fLAhW47bXmsNgXofn+KpgSiMMRDDz0E27bTUcyD3gO68/Y9j08UNU1zqJHdndfQtxhwtCdtK0plHSGDPl9JHMPzfe4mCKSvq0nTfcBWEWIcxzxqIMnyljjoOPYoRFEE3/PazMh0XYdhGFwQMCRJ2vps9hMGrRY2NjexuLSEhYUF4X74MkFEDl4FSJIEa2ICmmm276bbf4jvUNg89Wy6gImEaqWSFi/SG4VMe92DMEQcRWi1WqizUGjRm26mq0JVVeyam8PZs2fTti0yeEb9MGRvnp1mTJ0tfcOgKApmZ2YwMzsLVVFAkgQXzp/HysoKz80XJTuXImI33z4/y66LFYRFdPdZiFEL0+hnQ+5sV6MdJgMhBI8fOgTPdXHH7bcXGrBDCEGz1Up9N2g756jCILvj3RasViATFWCFwEXmFyRUzNUzNsOqqqJcKqHS0ZqYLRgOowhIEqia1taFMpZIAf285kUKgHTRkLAluIH8CIUkSfBcFxubm1jYvRvz8/PYs2fPiGcouNiIyMGrBFmWYU9Oorm6ijgMESdJmtPNLMwStooTPc9Dq9VCpVLhuyu2o9V1HZqmIQxDuJ4HFZn5CYRAIQStOIbneTBoJGGYNqv5+XkcPnwYQSasOm7Y7botvdEZ6mUV3pmQ9qAdoG3b0DQNGxsb6US8Vguu52FqchKlUmngeSWEgNBedna8vGJFHhHJLG6slaxJp9+pitJmGpXLiIsjt03OSykU4OixYzj14ou4/fbbUa5UCh2v2Wrx+RylUgm6pnXl6ovCjZyGfCz7Pej8nLDvsQV80PPGcQzf8xBkhKOqqjANo6dQkmUZiiwjJoSLb13TRk+F0NSE5/ttArZXpABIhQFrgYzjuG9Ng+d5WFtfx66FBczNz2N5eXnsw7kEO4cQB68iZFlGaXqaCwS222EiAbQNybIs+EGQhhiDgFsWZ8kTCWwhi6IIIRUfbMRwEZHAFryF+XkcIgTnz59PuwJ2cGwrv66cxRbIpCP4F7YEAzKLdlZgKbKM6akplEslrK6tIYwirKyuotlqYXJyElrO9XCjoo5dNxNknUtNW7okg6aqME0zFXeeB0VVB0Zeuha7AmxnTPPq6iqeeuopXHHgABYLhJjDMESz1Urb5KhPv5LNedPP3UgiofMx2V14ZtHPirPOo7DwPotE9SNPFGhUkBeJnsiKgjCKEEURZEVJXU6HJI4ihGGYzmvIfN76ioJMLQ+wJZIAmlpERhwlCYIgwOrqKmbm5zG3sIB9+/YJYfAyQ4iDVxmdAgFIb1iyovAaAJkQ2JaFZqsFz3VTd8A+HQa6rkPXdQRBgCAI2kRCy3V5yx+LShiG0fdGUSqVUK1WsbKygonJybH05A9ikEjI0hZOzdQxsAgDyzHrhoGFhQVsbmyg3mjAc12c8TxMTkykERn+hKRYxwfQlhLpdZ6maSKiC0iz2USlXO4/AGmEHXRCF7c2cVCgoM/zPDzy8MOYmprCdddd1/8ghMD1PPi+nxbNUtfDvGth4jaJ467PS2d7Ky88zKQCmACUtn6o/bnzoO93kUhBFEXwfb9tPoKuqjCGnDCq0MmLSRynw4kK/m6QJEEQhghp+o9fAjVY0ul46E5Yh0Xn1WVFrJT5m3Ul1Ot1TM/NYX5hAZdddpkQBi9DhDh4FcIEglevI6A7MhaulWnBomEYvDjRdd22YSi8wrvjhshEQkJ3Dn4QQFVVxLTYCp4Hz/ehaxpM2pLV66axuLCA48ePQ7ryyh21R+5kGJGw9aNS1wKT9V2o1mowLSuNIgQBVtfW0Gw2MT01lb4+BXL0bTfgzPn1WpRKto0G7fhouW7flMbQO25C0loIdIiDnM9E53EefeQREAC33XZbX9FHCEGz2eSha8M0eUdGLyTQscVJwusJJBbmp/9naQj2PElmYS/8Ocu89gT9U00sbB9tUxRkF+mICskixkdRFPHf4yyqpsGgbcl5AqMtYtXx/eznlXl7MJG8sbaGIAyxQD0MRMTg5YsQB69SZFmGPTEBVdfh1us8vMijCJIE27a5XbBhGFuh3MyNKu+2KMsyX/xZaoKlH/wgSI1rXBeGrsO2bZiW1ZW7np+fxzPPPAPHcVDNy0kX2KVuh06RkLd76v1gqWvB0XUd83NzaNTr2KSv6cnTp1GyLO5AufVwiT8P92norDmgf/c6J0mWUbJt1B0nNUjyPD6WO/fn+zxXJ1nb5LYb/wCR8Y1vfAMrKyu4++67+55LRAtb2efLLpWgMRMs9j5kd+2ZKABz6GNtu+xznT2zzgLKQmQEcaFOjDxRoGltv0cDkSTIyNg7UxEfxTEURclNTwG90waKqkLTtDQS2GPB5ikz5H8eslGzbCFxGARYXV+HaZpYXlrC/MIC5ubmhDB4GSPEwasc3bah6Dpa6+uIw3ArikAIZOrf31acmKHI0qyqamqaZFnpDYvOavCoQHBdF7quw7JtlMtlLhKmp6ehqirWVlawMD/f/cQXIdUAtIsEtoCSAR0EvRZaSZJQrdVg2TYurKwgolbUTrOJMk2lKHSmBIA2QULYbljamlvBKuPZQk06BImsKLBNM52b4br8vchjmNhBm20yf4L+Yu3M6dN49tlncd1112Fmdrbnz/m+j5bnpRXxrL5AlnleO3u8bB0IkKn7YAKhQKqmiLcB984YIAoIIVwAZ9NEuqbB7JHLzzlYWvTHnhPtv2dsuJEqy23PNyhtoGla/9qdnKLXPBJaLMu6lCRJguM4qNfrmJqdxezcHPbs2SOGKL0CEOJAAEVV0zRDo4GAetQzkWCYJny6A2LFiXnwUG2Pm222NsG2bQRBwCv5fZqCaNTrsG0blUoFmqZhemYGK2trPc2b+HMDvFhqpyWDBKThc/RZLAbk8BVFwa7ZWbiui816HYHvc/e4cqWCarmc6x3A4KmLTAtm9njZI2u6Di2KEIQhGo7Dp+XxawGtPk8SgBbVdb6H/Fj0OCEdny0xIUN3kKTjHCSSDvdxGg08+uijWFhYwBVXXJH7uhFC0HJdRLRmRdE07j6ZPdeiSPR15lGOPPoIg6zA61t/QutFWOg+WxOi6TrMHrn83GP22bEzAupvoNEWxlHTBm3HBfhnuh/8vabXnMQxNjY3EUURFpeXMTM7i7179xYqrBRc+oh3UQCAphlqNaiGAXdjI3UmlGWACgTXdfsWJ2ZD4QD63ng70w6tVgvNZpMvYA3HgWmamJyYwOnTp+F7Xtqy1YOuIj3srEjoqkvoiCT0OzZb0AHAsixYloVWs4nNeh1hEMBpNNB0HFTK5TSS0mNh4a83y/n2iWbY1CEzjiK41CAp+x5K2fcqE7Xg54z2nWwSxwAhPMrD6lWkzteA7t4ffvhhGIaBm2++Ofezw4ybEnoN7LNRCNLf+IcV8OW9NnldB6wVcVAkJSsIsuJVltKBWEbB9t1hi22jMOSjm+uNxtBpg07kPq9dJ1yEEsLTCJZtY4G6Hs7NzQ11LYJLGyEOBG3opgl1ZgZNmmaQZTl1TqTRg0ajgUqlMvimVvCmp6oqqtUqKpUKPM9Do9GASx3wFDpY5sQLL+DAgQN8MuMg2irTsXNCgT/voEgCOxdCcosP7VIp9SdoNrG5uYkwirBZr6NBOw2qOd0G7HVgN+y2wruuE5VQKpVQr9cR00E+ozg3MlhBHBMuco9jE0Jw6NAhNB0H977hDW2GPowwitCi0SpIqZFT3s/lPXeRnTaQLpr9ukGYKMimZvJI4hhBFCEMgrb3UUI690BnO/UBZNsvi8CiE57nodlqIQiCtGsDQ6QNssenu39SVBhIEmIasQCAhuOg3mhgenYWs7t2YXl5OXXkFLyiEOJA0IVM0wx+owG/2YQqSSiVy2g0GgiCIA1Pl8tDjxnOM/NhSJLEd9JhGKLRaCCOItiWhRdPn0a1VuOhUtOyoNMJkoNgN+LtTEwscgx2DUBaQJZ3rYPmLZRKJVi2nTrm0Xn39Xo9LcqkkQQmEvjCmBniw76et+jIsoxyqQTHcRD4PlRV7Y7GFFiskiThtqpyJnKQJwZfeOEFnDhxArfcfDNqtVrX933fh+u6aY0AbVMsWqzXFaka9PO0/z5Lr5RIliRJEIUhAtoamkVXVai6Dk1VB362uJ8IsBVp6PMYZpEchSF3CnVdNy1GpCk6bphU9DXIpLtIkcewLgQqrJIkwfraGuIkwe7lZezatQtLS0sijfAKRbyrglxkWYZVq0GhaQYdSAVCvZ4KhEwEoeiSy3rRBy1CmqalcwlsG41GA09/61touS4sGs5stlrp4qaq0E0zvUlrWs+FhS3Uw1TkbwdZSq2os8WLRUZns8eWSyXYtp2mGzY3EccxNup1NBwHlUoF5VKpbddMkoSb8PAwe86CrdIWUlZgKpdK3Tf2Ae9PQtNNsqKk4qBH+mh1dRWHDx/G/v37sbx3b9v3CCFotVo8T15k1HI/YVkENk8j25rXVnnfcawwihAFQZtZEQD+uSsaxWLFe9n3K+86EtqFEIUhoijKFZJhGEJVFFQnJort1LOv2TBiSso4htI/vu9jdXUVdrmMxYUFLC4uiqmKr3CEOBD0haUZWhsbMAkBobvPMAjgtlowqFdBYZGQ3TUNWCwNw8DS0hJeeOEFrK+uYumGG+C2WnwXFwYBWp7XdsPWNC39O2c319bOhnSHv2MpB3Z9tG5jUFFlJ7IkoVwuwy6V4DQaaSQlSbCxuYlGo5FWg7MuBXRcB0sz5AgE0zQRJQmiIEgLIMvldpe9Pi2qQLqjVTOui3npjI2NDTz4wAOYnp7Ga1/72q7HMxtk0GiR2cfimQu7MUR95I4Cxc7zzhb3Zb+jyDI0XYeuqoWLC1lXSb+zjqOIux12RiWArU4fVVURBAEURYGh6+n01H6w2olhXzMqCiSy5XhIkgSNRgOb9Tpm5+YwQ6MFIo3wykeIA8FAZFVFeWYGXr0O0miADcBxPQ+SLMPQdSTAaCKB/RfdN1JJkmAYBvbu24enn34ar33tazE9M4M4iuCHIXzPQxgEW4OGMkJBVhSotEBLU9WufCw7XrbToWg7VxHY80oAYnTvFoumOWRJQrVaRblS2RIJcYz19XX4YQjbslC2bcidXSS9CkIlCWXbhkMr3ZtUIGR9JqQ+wo3l7lXaqdC5o280Grj//vtRrlRw5x13tEVzfN9PPzP0PCp5kYuu093e+5GdXsk7KOj/2fUEYYgwCLoLC2kdwdCpjh4kSYKQRgaiTA6fH5NOWFQ1DSqLzNDHMdGi0zRGLzptjgueeJsoALbaMtfW1pAAWNq7l7cpijTCqwPxLgsKY1arUHUdWF9HQghc2mUgyzI0VU0r8TGkSKCwBaNzUVI1DYuLizh27Bi+ffQobrjhBiiqCltVYVtWutsLQ14wGVHDH4J055UVBhoVC9mQMOk8PmXbhYz0WvLmJQDYSgMA3T38OWRFQoOmGBLPS4sM4xhTU1MoZVws2TWRvCgCLfxzqAMh81nIdh/0Wui4x0FOZKbVauH++++HaZq466670omBoN0Iros4itI2RVVFybZzw/LbTR+klyfx58p+niSk0QNmZex6Xs/CQqVz2mSP88wbgJX9GfaZDKnlced5qoqSioE+MzBCKgwkGsHoFLrZlFk2bTKQHFHAaLVaWFtbg10uYxcdszzbx59C8MpDiAPBUKimiersLGRZRkKHKjm09U5V1a2eeIwgEnJusBq9aS7v2YNjzz2Hq6+6qm3SIAu7cqFAb6Ss3csPQxA6gChW1dTb3nXTXRrdoSn0T5bOcx510eq1g8s+Eyvs7JUDR8fP1mo1VMplnDt/HvV6HVEYYm11FfV6HbVqtc3qmkUBJElKw8yscJEWKDKLZRZByObHc68nU8SXxfd93H///ZAkCa973etgGAYIIfB8P52NQM/FNE0YOTbI200fZCME/Bozzx2xAj/q15FkRBsTjVqfGSJdx8n5d5Ikacto5lidKFSwMjFQpJDR830EYcjTZm3HZymSvs/SdRE9RYHreVjf2EAYBJidm8Ps3ByWl5fbPlOCVwdCHAiGRlFVVGZnAVnG+soKgiBIF5dKhe8+tyUSssei6YHdS0t47oUXuEDII+sAGFK3OOYox/r8gyiCjDQikSQJgo5jKXTSnaIo3EYaQNv5JwWEAvebLzA3gT8mfSAAbM0A6PGzsqKgWq3C0HW+4EVhiNXVVWxsbqLEHCczoqctpC5JqUAol+EwgeA4KLEulD6pBfb6sN1yEAS4//77EYUhXn/vvWnHCfVUYIuQqmmwLKtLhI0qCtoiPR0RguyOnYmCtsdKElRZhqrrgwsLpXbHQkZWCCRUiOZFDySanmCfzWHthIMgSIsVowimaaYCpuP8CtNHFPi+j3q9nhb7KgoWl5awe88eLCwsiDTCqxTxrgtGQpZl1GZnoagqVs6cQRCGaQShUmlrcdyuSGAz60Ndx549e3D06FFcecUVA3u6tcwuK6Q55YBWxyfUiCgIwzRHSwhftOI4bhMMsixDkWU++ljJ5IL5OSI/BTFML3vXY9G+M+218EiyjEq1ihldxyZte4ypQU69XodhmiiXSrBMcyuVkfFlYCOQnWYTMYsglEp93yNFUXiaIo5jPPi1r8FttXD3PffAotM8Q+p0CCmd0aHnOGt2pnKKvCZtooX+zRZPJgTyPA2YyFQVhRdR5haJsmI+/l8adWBCIEnSnv8e5yjLMheY/TpoiuKzqAEVFsO0LnIKiALP90GSBJqm4arrrsO+ffty3zPBqwchDgTbojw5CVlRcPbEiTR/TQVCV3Eh2p30sjvyQRiGAd/3eefC8y+8gCsuv7ywZTITCjaAIAzTFrUOu1l206cn1XZeSZK0jdqVJCkVCkww0AWhC6m4+1wROvPbUqZGQFYUTE5OojYxgRa1Yg6CAL7nwfc8SIqCkmWhVCrxmz7LUyuKkqYYaLFjs9XaGo2cs4Ayc6o4jvG1hx7C5sYG7r77bliWhUajwZ9b1/W2yZudqZkir01ehICH7Wk0KM9YSmVigP5pez+BtveffS9OknRGQRAgopGBXvMZJKSFuuy9Z3/GWdAa0WvzfB+2ZeWmY/o9nvQTBUGA+uYmfM9LP6dJgsmpKdxyxx2iE0EAQIgDwRiwq1XM792LMy+8kC4uNDzd6zbGqtwJwI1h+t30WK46jmMsLizg2W9/G5ddfjk34+G55QLnqlN7WSYU2EKDKOryl2cRhrxzy8spKx2LBXOgG8dykZfrZoIkuzSyFshyuYwgDNF0HLRaLV546DSb0DQNpVIpnV2gKOkcgkyKIYoitFwXtmW179bpcTWakvn617+OlQsXcOedd0I3DLTo+G9ZlmHbdvukSfY8Q1wr+4wktKAvpq95545fQvraczHQZ5EmQNpaGseImQCIIkRUGPQ6n6wAYNGjcQkBAqSf5Y5Ujut5qWEVjXYYfVo+MyfLOzNQQBRAkmCZJhaXlnDVtdeKFIKAIz4JgrFgVypY2L8fp48f55a4pVKp72Oy0QRgq4I/76ar6zp838fy3r04feYMTr34Ipb27Gm7+WX/XVQoIFPglS0m62W32xnez6YO4ihC9lHM2IYtJGxnKckyZLqIbqcIjxcPsoLDrZPk16fTaILnunCaTXiehzAMsbGxgY2NDVg0mmCZJlRVTV0Um02EYQhXkrjNckQXTnaujx86hNOnTuHgzTfDME0+v4AXHHa+boMuhlXcE8KNgFh0IO81VzojA9lj0VQAE6EJnTKaZESBHwTIozONJPeKCo0B/t5tnTj/HuvCcV0XVqkEs0/UgNe39KlR8YMgHb9OHSmZI2mlUsHC7t1YvuyysYkdwSsDIQ4EY8MulbB42WU48/zzCIIAkizDYrvPAvRLO7DoQa1SwczMDJ595hns6RAHWVjInIVXeTFeH9iukIXds4WMTDR07i3ZwsWL+La+gQRb0QcAXZPz+LnSBQlIF6fOP70EBLdr7qjO79yhy4TAtm3Yto0kjtFwHDSbTUS0aNBttdL2UNtGif5pNpsIaJeBZVlIaJREURR846mncOKFF3DttdeiNjHBCw5NKjCKwF6XhObx2Z+YjgTuvE4WEWACizlDRlHEi07Zcwzq+mBpCFZ0qlIxwF7vnaLrHexzjqzLQ6MdNXnzJrKigP2/EyYKPNflYtK0LEzUalBVFQu7d2NhaWk7lyV4hSLEgWCs2KUS5vbuxbkTJ+D7PuI4hm3bWyY7fargGW1pB3pDk6TUT97XNOzbuxdff+wxnD9/HnN9LFzZrVLKCUMXynezRSmz4HW2q8V0h9o5NlmS0ul8zMMgezx+fXQhI0nCd+b9zkWSUltmKbOIsePHccwLADujL9mhTYqqojYxgVqtBs/30XKc1IMgjtGo19MiRsOAbhggtFVVkuU0H08ITp06hRMnTuDKK6/E/Pw8AKQFhx0hb5ZySeI4bRvs+DsLW9yypkoyi66wQlEqBLIpjr7dHCxCkxFYCv07Jt3mTeOmLVWA7ohTPyL6unuelzpImubWuWbbF/s8p08tzj2W6smIAo0WNS5fdhmmhXeBoAcSGbWcWiDoQ6vVwvkXX0TgupCQigY26GfUPLxEx+82Gg08/Mgj0DQN99x998jnyCMLIz9DSrZankUaGEGH8x5DAiApylYuv6MVj/6j77kRQlCv1wFJ6ioCbesK6RANbd+jRYct10Wr2UQUhtx2N45jyIoCyzDgtFo4dOgQAGB5eTkduEN3tEwcJXGcLryZVADbxfO/M9eZXbj539l8fg8R0G/hz36tF0GP2QXbpe313sZttem62FhfR5wkKJfLKNFZGkXMsnzfR8Nx4LVa/D3nokDT0jSGouCyAwdQnZgY+RwFr3xE5ECwI9i2jaXLL8e5U6fQ3NiA4zgwTTM3zVBULLABQ5quY9++fXji8GGsrq9jenJypHOUOv7m7nKZm3ARASHLMnRdR7bxi6UiVFVNjZjofAVCw+YE4NPuRoGdKwstJyxykBUZbQ8gbTbRXXsCQmAaBkJFge95cD0vbfeMIqyEIVZWV0EA1CqVdLy260JRVbiexx+fTWdIyCz+dFBTNiLAoxlka5YDi3zImUU+W5vBaza2seNnY7NHfYaux+VFMLYhDOIkgUOnnxqmyedO9IqSJEnCp1u6vg9EEQh9bS3LQq1S4VEdQgisUgn7L78cpjA1EgxARA4EOwohBBtra1g7dw5xGEJRFJQyVr0jPSeA+uYm7n/wQRBC8KY3vQnaDhWNZY/ZSzj0G+BECEHQUfyWgNZXUMGQLZjL/p0t1uxF03EQEwLbsqCqatfiz6frdZwT+7szSpFNg7ieB6fRwNkzZ7C2sQEAmJufR61ahaZpMAwDhmnC0vV0IVdVKHT3z3byTDBkF//sv9u+dxFICOlqY+0kTwBsZ8EvAnv29fV1Hg2amp6GkeM1kCQJXM+D57rcnyD72TQ7RAEIAWQZ87t3Y35xURQeCgohxIHgouD7Ps6dOgW/0QAB0n77nCKrbBShX0QhThKcPn0aDz30EPYsLeHmgwd5u5yUWXQuBtlfIF4ISW/WCdLUwiiLC9vps3HPXDTQ3S+ShLceGqaZFlJ2XDuLLHBjKpZSyHY6UFMgVuiXUMfFMAxx/PhxnDt3DtVqFZVKJXXp03Xour713LIM3TBg0U6FbMtd9vbSb2bDxSKkqZ+XQgB00hmVajabWF1bQxTHmKjV2vwG4jhOowNUEDBBxTwuLNOEbVkwLav9NSYEVrmMfZddJqIFgqEQ4kBw0YjjGKsrK2isriKmE+Zs2+6960b/BT6KInzz6afxzaefxq233IKlTNU1K2bkO9XxXcZQEIDXIrSlJzI59ezfrLuisxYh122RELQ8D4HnwTRNmJbV/hh2vI6Qf+dzMKEQRhE81027MuIYTz31FNY2NvCaK6/E4uIiJFlG4Hlb1yNJXTUVzG2SiQSLWv62kbm+bOSFh86z19/r/DNfkwhp70jJ+Vl2hl4QdBWoXiyYaOwcCAWknhvnL1xAGIawSyVM1GppN4nrpn4HQcB9PUAIFFWFZVmwbBsGFWqdyLKMORotEAiGRYgDwUWFEALHcbB2/jz8ZjM17SmVCvWScz+EzNd838eDX/sa1tbXce+996LSx92trUVyG9cwLDH1O9iJXzXf9+G2WtANo/BwnE5b5igM4dFFH5IE3/Pw5JEjcH0ft992G0zDAAFQrlQQRxEcx0mdFWUZlm0jjqI0zE1HaLNOEyZMVFWFbhgw6Z+8tryLQUxHJl9MuGjJ1Fbkndf58+fhBwEI0nod3/cR0XZgJppUKghsy+rqDmk/KIFdrWLvZZfBNM2duTDBKx4hDgQvCb7vY21lBa2NDcRRBJvugIqSvdGubWzgq//v/8EulfC6u+4a2GvPxhh3zoDYKVgaINpGAWIvQuqCqKoqypVKz5/rtEImhCCkoiBboOe5Lh5//HGoqoo777oLJnU+lOnkSyCNhDQdh0cMynQiJwA+qdP3/XSaYBC0jYsmhHoiMLFgmjtmMpSFEIKwjx3y2I6DrYhNv1ZLRhTHOHv+fOpaGARbQpmmeXRdTwVBqQS1wOskyzIW9uzBroWFMVyN4NWMEAeCl4wkSbCxsYHG+jr8ZhO6qsKy7bZFuwiEEDz/wgt45NFHceDAAVz1mtcMbQPL2/uybX5jJE4SxBlDpLE9L/UnkGQZtVoNALZC8zmV9KxAknlQsK4C3TCwsrKCxx97DBMTE7jjzjth6DofomQYBrSMeEuSBM1Wi/sZdO1mqSAghMDzPG7qE/h+V3Gk2mF9zMYZa2MYXMRfJxa9GfPrz6NZNP+fR0KFWJh1fqTmTc1Wi9tbVyoVGHQehUkjBMNcf7laxdK+fWl6SSDYJqKVUfCSIcsypqamoOs6NtbX4TUaaNTrME0Teo4Fby8kScLevXtx4cIFHD12DLVqFXPz82nBI81fE0mClNnBdsLCvtkcvzTGyIKEtAaCDcMZB6y/H5LUtkhxsp0V1DLY930+L4LVBuiahm8fPYpvPPUUlpaXcfPBg9x8iC3+WWFAAD7uudVsIghDtFotJIRshbEzo7sty4JFF6w4jlOh4HnwfR9hGCKmvgO+72dOndCnSdsgs8KB/dEKjkBmpkfbFQadxbLZNkw2pyEMQ4RMAFAxwA2qKCyy0Gq14LkuJEIwMz2Nmenp7oLCAsiyjMXlZczOzW3r+gSCLCJyILgkCIIA6+vrcJtNhK0WpCSBTovaikYSoijCF77wBURJgoMHD6Jk21051668L9vxFYgY5E2SLHobZy2LAJ1TMOjXjqY++Dn3qabf3NxEkiSoVqtdO82sKGDXKctyKsB0HSRJ8PihQzhx4gSuvvpqXHXVVfz6WFQCkoRardZz3gRrqwPAi0xzRVjO+cdxnE5BzFhU82mL9Hidj2ozUmLjkemUTCYiWNSBIP1csHkLRWHvVVsBIb2m7O4/+4f7NaC7E4GNW2aCJggCeDR6Uy6XMTE5ObQAlSQJ0zMzmN+9G1qRoUwCwRAIcSC4ZCCEoNVqwXEceI6DoNUCSRI++reIN8Lm5ia+8MUvYn5hAZfTgqw2+9k+x86297XZ1Hb/MP9nm2DoV+zI2g/p87GFjz2uSH66F416HRFdZJhjYRSGCMIwnXFBz0uhokCj1e2B7+Ohhx7C2vo6Dh48iOXl5a3rQurv77Za0HQdpVKpawplVmgFQYBmqwUgHZdcKpXabJs7X4siEEJ4+D0rGEI6TZPPUWDnQV/HbIcGqzFgKZ28zwGfTQBwd8h+7pRs0WdXl30dVFWFqmnQVBWKqvJx4eyzy6Zjuq4L3/OgmyYmJyaGSh9IsoypmRnMLS4Wm9QoEIyAEAeCSw6Wp242m2hubiJwXSRxDF1VYZhm6g3fh6PHjuHw4cO4/vrrMTE5mY4otu2L1mPPc/7IiAd0RwziMeW/2ZAkVVUhK0qbIGBtbyxSwHAaDTzw4IOIwhB33Hknpqenu57XcRxEYchnJ3SKg7bWTABhFKFJOxlkSUrNrjrfq4yfwnZ9BbKRhmwIPysoeBSEiQNkWkUB7u+QvaZB8ImQVASoVAQMqnMJaadHFIZwPQ+6YaBSKvXvPMggyzImhSgQXCSEOBBc0gRBAMdxUF9fR+i6IFHEFztN03Jv5gTA1x58EBdWV3HrLbdA0zTIsoxSuTx0seM4YRXsAHhPft7chcLPlyQIwhCNRgOtVgu6rsOgaRRVltNdq653LVoXLlzAww8/DMMwcNddd3WP1pYkIEmwsbkJEIIKTVd0igN2TdlXNKHGTEz4lEslqL1aFzu9DMYAe01JpviTpRbQca4X05CJRVaY8GURhUFjzQkhkBUF0zMzmNu9u03gCQQ7iRAHgpcFURSh2WxiY2UljSREERRZ5hMEOxd93/fx+X/8R1iWheuuuy4tXJMk2Jb1kvXZgxDEHb9ubAedZCxwsy6G6NjZshoCVvkuITXQ8T0PhmmiWq1C1/XcMHUYhvjmN7+JY0ePYnbXLtx+++09F5soiuA0Gm1dEHniIP8yCRw6EhoANDoOumeaofsJ8r+c839mnsSOm1d4mK33uNgQQtIUgu+nnSJhyMVatVrtLVBobcjk1BTmdu8WkQLBRUeIA8HLiiRJ0Gw2sb6yAt9xkCQJFEmCbhjpophZgFbX1vDAAw9A0zTccMMN0HUdcRxvOTO+BFGEbJ6cwQRCZ1V79jFBECAIAv4z7OdUVU0FQhBA0zRUa7WuUDkAnD59GocPHUIYRbj2mmtw+eWX5y7WLFXg0SJDXddh091tUXHArsmjxkgMZq/cVqyYvf1kxBFBGl1J6M8MGrHMZ1Hk3M4SOsPiYhOGIVo0JRbRGglVVREnCSqVSk/fAllRUlGwuMgjQQLBxUaIA8HLErYjW7twAW6jkRaeEQKFVoWzXnnX8/DAAw/A933ccsstME2Th7xt286d77Cj5w303MUSgIfDmSBgxXdsYSSEQGfpAlroFicJ6pubkGhXAa+wlyR4rRYOP/EETp8+jYXFRdxwww0oUSfFrsU2k4tv1OuI4zgdta3rfLZDZ6FmZ91BJ3EUoUUtmQldHC3bTicsjvj6dcLGRfdKMfXqstgpCElHYAe0NZNFLmQqesrlcndkh7al1qamMC9EgeASQIgDwcse13WxuboKp15HTCcgsqI3GWkx2hOHD2N9YwM33XQTpqamENL5ARqNIlysWoTsIstGLXODJNrvH9GdpoStBZzVD/Tq7d/c2EBCSLojVVUkSYLnnnsOT33jG9AUBTfceGM6H2HA7luSJMRJgsbmJm9h5AOZRlxkCSHwgwCe6/KdvcG6SEZ4PiZIYlrg2e8WdrFTCszzgU3UlGUZMbXOlmWZd3Gwz5uE1ENicmYGUzMzQhQILhmEOBC8YkiSBL7rwtncRLPRQOB5WyOIkwRPf/ObOHP+PK64/HLs3r07zdnTG3WJ7pB3AkJTBgkzyqF98QmdZZDzAECS0ha4gmY/juOkQ3tsG57n4dDjj2NtfR379+/Hdddd17fOojNkz1IKrIURwLbEASNOEritFp9vICsKHzU9LGxCZWeKIjvD4GJGDRLahhuGIR8+JcsyN3ZixYd8kqWioDoxganpaVQnJi7KOQoEwyDEgeAVS+j7cDY20HIchNRo59vf/jaOP/ccFhcXceCKK/jAIUmSUutay2rPBee0uXWZIXX4G2SFQJwkuc58LLXBnAplWYaiKFBkmbsCZiv5kzjuW9Dnui5arRZOnDiB559/HpVKBTfddFNui2InnamBer2OJI5hlUp83kUhccCcKAccr3N3PWg6Z5ZkQKSg/XQy3hKsbqHQI4vD7Khbrsu9ESyaugqCAEmStHltWKUSJqenMTk9PZIoEgguFkIcCF7xJEkCv9VKjZU8D8ePH8fhw4cxPT2Na665BlEUpRPxaOGapmldxY2crFNhL9fCnK9nBQCzJlZkmdsMD4QV6vWINpw6fRpPHDoEPwhwzdVX48CVVxayFu6k0xWR1zpg+5GDLAlt6fM9j/simJbVc/jWMKKAEcdxrrtithMEyNRO0AmKue8xs+HGlpgK6HCpOEmAJEkHSpkmfM9DQCNDtm3DpoJgamYGVsHJmQLBS40QB4JXFVEYwnMcvHD8OB584AGYloU777gDqqqi2WymYWGkC4umaTB0HYqqbi1Mmba57N9ZZLr7Z0KAzT/IQggZvYKe2vkmdNd65MgRnDxxAhOTk3jNVVdhcX6+eNtgB3kpBWD84oAR0YLFmNoPa9TDQlXVkQQBY6dSCnxwFZ1mCaTChplzsRbOhBDMLyxgfnER1YmJkYSaQPBSIsSB4FXLqZMn8ZlPfQoyIbjxxhuxsLCAJEngeV46ahhos2+Wh7C4HQRvvRulEJIQrK6u4vjx43jxxRehqip3g0ziGJVyubfx0ABYSsHuqMEYRhxwK+qCxySEwPf9tO2PECBJICtKOltD00YSOuNuXySEIAwCPuKa0M4YwzSha1o6v8LzoGgaqpOT2L9/P6wBBkcCwaWMEAeCVzWO4+BvPvEJnDl5EjNTU3jNgQPYu3cvAOy4SBg2ehD6Pl44eRLPHT8Op9GAXSph//792Lt3Lwxdh0PHK1umOVLVe6+UAjBa5KCINwEjAZBEUZpqoB0nLIyvGwaMHKfHns+L8UUN+okCTVXh+z78IIBl25iYmkJ1chJTU1NjGzUtELxUCHEgEAA4deoUHrz/fhw/ehRV28aBAwdwxeWXQ1XVXJGgU5+B7ZLEcf/oASFYWV3Fc889h1MvvghCCBYXF7F//37Mzs52dRm4rgtN01AuldpSGWwiIyPPn+D8+fM4/txzePHFF/Hc8eM4dvw4HMcBALzurrvwnve8Z+D1/K8/+RPcf//9uPnmm/G+n/mZzGUQfkz+p9cgJGoLnQ3dkySBoqqFognjiBokdMCT7/uIkgQSbUU0TBOKovBx0+VqFbXpaZTLZZRKJVgjjFwWCC5FRLmsQABg9+7deOe73oW1tTU89NBDeOyJJ/CNp5/G5fv24cCBA6hUKvA8D2EYIowiBEEAWZa5UBg1miArSu4AprwowTXXXIPlvXth9rDSZTvrOKdokS2mH//4x/HXf/3X+P0/+APMzsy0/cyv/uqvQpJltBwHwRBuiFluPngQX/3qV/HkkSPcKjjbXth2Tj0WUYnaYht02FNAd+dJksBrteCidzSB+R+MskDzaZZBgCAMISEthFQkCYZtQ5FluJ4HQggqtRpq09MolUool8vC3ljwikOIA4Egw9TUFL7ne74H9957Lx599FF8/ZFH8OyxY9i7vIwrr7gCtVoNQRgiDAKeK/c8Dyrd1eqalu9d0AdZkniufWVtrStKcMMNN3RFCfJQFAWSJPE2ys7QNgsSyorS1U0RBAEkWea79umpKSzs3o2njhxhD956DlZPQLbGGrPF//rrr4dKw+3feOop3Hjjjb27OgrA3C4ty2qLJoRBgMDz0miCrkOl3SBJxlq6KHEcI/D9tPWQXSftPjB0HRJ9nyVJQm1qCrWpKdi2zUdkCwSvRIQ4EAhysG0br3/963HXXXfhiSeewNe+9jUcf/55LO7ahVqtBrtUgmEY0OjiJEkSWs0mXEmCxtIOPXLkQRDAaTTgOA4ajQYa9To26f9JkhSKEuQhSRJUVUVId7+WZfHvDerx9zwPb7j3XiwvL+PKK69ErVbDhQsX8L6f/Vn25G0dG51LPXtuwzBw3bXX4vDhw3js8cdx44038tbB7WQw+0YTPA8gJB2JjbRbhIkFWZahqCpkSWpLRfDUhe8jCkMk1KgKALfgjuMYYasF3TAwPTeHcrWKcrmcb38sELzCEOJAIOiDpmm45ZZbcPDgQTzzzDN48sgRvLi6isbx44jDMF18qJthybJgWRZMy4JpGCjZNhRVhUcNipxGA5uOg4jWLwCAZVmolMvYtWsX9u3bh4mJCUxPT4+ct9Z1vUscsMLAXoszm9/wxje+EdVqddttdzcdPIjDhw/j0OOPg/z4j/MoQ79zGIbOaEIYRel7QbamMoZZ8yN2fBoZieM49bUgW8OuTNOEXS7DNM3U44J6XahU6JVKpdRmW7QkCl4lCHEgEBRAlmVcffXVuPrqqwGki47neVhfX8fGxgb/e21lBS+eP4+m4wBxDEWWoWsaquUyypUK9u/di2qthirdhWbdGLfT18/QaLFekiSIwhAKjV70e142OdEwjLEsfgcPHsSf//mfY2NjA8ePHUsnQI5JGGTh0QQ6bZMNtYqTJJ2EGEVpjQhNA0WsmNQwULZtLgjYPAo2rEtRlLZ/iyiB4NWIEAcCwQhIkgSLRgoWFxe7vh/HMVZXVxEEARRFQeD7CD0PvuumkQOax05UFaqm8THMbJe7nfPSVDU16gkC2APa/8IwTGdMSNLYiuomJyZw+WWX4dixY3j88cdx+eWX83NjFsvbucZOEmbbzFwk6fCqkIqjyWoVVqkEzTCgKAo0TYNNxQFb/EWHgUDQjhAHAsEOoCgKdu3aBYD2yodh2sPv+2kbnO/Db7XQdF2QZhOqovAhSxKdq8CXK7qQFl3ADMPg454HeQ2wwUC6ro81ZH7TwYM4duwYHnv8cbzzne/kX+d2zMMKhOzPMhGF1GExogInolMtDctCuVqFVanANE1eq2BQcSAQCAYjxIFAsMNIksRbHoE0qsBEgu/7aaW85yFwXfh0IJGsKJAlCQoLb1MLZlbcJ7UfYOvfhEBVVd61EIZhz2mTLOTOcu7j5Oabb8bHP/YxvHjyJM5fuIBds7Nbp0v/gHVpZM492/KYlQ7MMCqOY8QsZRBFIHTstmnbqJVKMGlEgIkBjUZlBALBcAhxIBBcZBRFSQfy0CE82ahCGIbpTjgI0uiC56HVbEKSJF55ryhKGmmQ5bQCn00czOT1NU2D53lotVpQFSX9OboYJ3RaZLPVAgHSdj22o+8cg9yD7AAivpjT0D4BsGfPHszMzuLcuXN47LHH8Ja3vCXXeCkvjcIcDtv+0KiAJMtp4WCplLaO0gJCXde5IBBFgwLB9hHiQCB4idE0DZqmoVKp8Ap6tqsPggCba2tw1tbShZ0W1zFBINPhTpIkQZEkSCziQL8WxzHqjoNKucwFgCzLaDWb0GgRnmEYfKQxAL5YM78EAIiyroMst0/Pny/tHS2OBw8exD/8wz/g8ccew5vf/Oa2n0sISZ0MO/7EcZx2FOS0Xmqmifndu2FTfwH2R4gBgWD8CHEgEFxCMK8C1qoHADMzM2lvP4smhCFC30cURanff5IgDsN0caWtfUkcI4pjuK0WAMD3PJ5emJyc5PUIhmnydr62dAUVElxQZKMJmfHFWVFB6LRI9vUbb7gBX/rSl/D8Cy9gZWUFpmHw85VkOZ1YqWlQNQ0arblQVBUSjZDomgZN19PpmDQqIFIEAsHFQYgDgeBlABMMoKkIALymgO248/54noeNtbW0ziGOEcYxIkKQANAMAwEVCWxhTzKzDBzHwcTEBEAjFBsbG+mBWQSBdliwP6CpD/bv5f37EUQRHNfF6fPncdPBg1BodwbrEmCjrTv/sLoJgUDw0iDEgUDwMkWmff69YCmK6elpNBqN1CaYEDx99Cjml5exe2mJC4POPwCQnDqFI888A1mWsXzFFZhfWgJkOY0iZIRAm0AA+L8ffPBBfPv55yHLMu6+917UarU2MSAQCC5dhDgQCF6hsBTFxMREGgGgvPDCC5icnMRMx+ClLMzk6ezZswAAPwyxuGdPlwDot7v/3Oc+h/X1dbz5zW/G3NzceC5KIBBcFIQ4EAgEXbDuCFaQSGiL5DB8+tOfBgC87W1vG/v5CQSCnUWU+QoEgrFz6NAhnDhxAoAQBwLByxEhDgQCwdj55Cc/CQC46aabsGfPnpf4bAQCwbCItIJAIAAA3H///Th69Cj//8rKCv/30aNH8eEPf7jt53/sx36s53N96lOfAgB8//d//1jPUSAQXByEOBAIBACAD37wg/jIRz6S+70HHngADzzwQNvXeomDkydP4tChQwBESkEgeLkixIFA8Cri3nvvBYC27oVxw6IGS0tLuOmmm3bsOAKBYOeQyLiHrAsEglc13/3d343Pf/7z+Mmf/En84R/+4Ut9OgKBYAREQaJAIBgb9XodX/7ylwGIlIJA8HJGiAOBQDA2PvvZzyIMQ1SrVZ7CEAgELz9EzYFAIBgbX/ziF1Gr1fD93//9fNCTQCB4+SFqDgQCgUAgELQh0goCgUAgEAjaEOJAIBAIBAJBG0IcCAQCgUAgaEOIA4FAIBAIBG0IcSAQCAQCgaANIQ4EAoFAIBC0IcSBQCAQCASCNoQ4EAgEAoFA0IYQBwKBQCAQCNoQ4kAgEAgEAkEbQhwIBAKBQCBoQ4gDgUAgEAgEbQhxIBAIBAKBoA0hDgQCgUAgELQhxIFAIBAIBII2hDgQCAQCgUDQhhAHAoFAIBAI2hDiQCAQCAQCQRtCHAgEAoFAIGhDiAOBQCAQCARtCHEgEAgEAoGgDSEOBAKBQCAQtCHEgUAgEAgEgjaEOBAIBAKBQNCGEAcCgUAgEAjaEOJAIBAIBAJBG0IcCAQCgUAgaEOIA4FAIBAIBG0IcSAQCAQCgaANIQ4EAoFAIBC0IcSBQCAQCASCNoQ4EAgEAoFA0IYQBwKBQCAQCNoQ4kAgEAgEAkEbQhwIBAKBQCBoQ4gDgUAgEAgEbQhxIBAIBAKBoA0hDgQCgUAgELQhxIFAIBAIBII2hDgQCAQCgUDQhhAHAoFAIBAI2hDiQCAQCAQCQRtCHAgEAoFAIGhDiAOBQCAQCARtCHEgEAgEAoGgDSEOBAKBQCAQtCHEgUAgEAgEgjaEOBAIBAKBQNCGEAcCgUAgEAjaEOJAIBAIBAJBG/8fcawdXaGs2HEAAAAASUVORK5CYII=\n"},"metadata":{}}]},{"cell_type":"markdown","source":["Thus, in the laboratory frame the qubit is rotating at $\\omega_q$, but it doesn't move in the rotating frame."],"metadata":{"id":"9dUK35rk3QW6"}},{"cell_type":"code","source":["# plot the time evolution of bloch vector\n","x_lab = result_lab.expect[0]\n","y_lab = result_lab.expect[1]\n","x_rf = [expect(sigmax(), psi) for psi in psi_rf]\n","\n","plt.plot(time_list, x_lab, label=\"sigma x (lab)\")\n","plt.plot(time_list, y_lab, label=\"sigma y (lab)\")\n","plt.plot(time_list, x_rf, label=\"sigma x (rf frame)\")\n","plt.legend(loc=0)\n","plt.xlabel(r\"Time[$1/f_q$]\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":472},"id":"vk-DpoWPj6N2","executionInfo":{"status":"ok","timestamp":1727636932685,"user_tz":-120,"elapsed":1028,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"e2e0847f-80ef-4dc0-f7df-e63d1cae0f19"},"execution_count":35,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 0, 'Time[$1/f_q$]')"]},"metadata":{},"execution_count":35},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAjgAAAG2CAYAAAByJ/zDAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACYwElEQVR4nOzdeVyU5frH8c8w7DuIgAuCuFuoiIq4myQumR7bNBV3y7KT2aYns9Nqi5lmnhZ3s0xbtMXSzNxSBBU33DdckEVB9n1mfn88gPITFZDhmYHr/XrNi8fhmZnvmDEX93Pf96UxGAwGhBBCCCFqEAu1AwghhBBCVDUpcIQQQghR40iBI4QQQogaRwocIYQQQtQ4UuAIIYQQosaRAkcIIYQQNY4UOEIIIYSocaTAEUIIIUSNY6l2ADXo9XquXLmCk5MTGo1G7ThCCCGEKAeDwUBGRgb169fHwuLOYzS1ssC5cuUKPj4+ascQQgghRCVcunSJhg0b3vGcWlngODk5AcpfkLOzs8pphBBCCFEe6enp+Pj4lHyO30mtLHCKL0s5OztLgSOEEEKYmfJML5FJxkIIIYSocaTAEUIIIUSNIwWOEEIIIWocKXCEEEIIUeNIgSOEEEKIGkcKHCGEEELUOFLgCCGEEKLGkQJHCCGEEDWOFDhCCCGEqHGMWuDs2LGDQYMGUb9+fTQaDevXr7/rY7Zt20b79u2xsbGhadOmLF++/JZzFi5ciJ+fH7a2tgQHBxMVFVX14YUQQghhtoxa4GRlZdG2bVsWLlxYrvPPnz/PwIED6d27NwcPHmTq1KlMmDCBTZs2lZyzZs0apk2bxhtvvEF0dDRt27YlLCyMpKQkY70NIYQQQpgZjcFgMFTLC2k0rFu3jiFDhtz2nFdffZUNGzYQExNTct+wYcNITU1l48aNAAQHB9OxY0c+++wzAPR6PT4+Pjz33HNMnz69XFnS09NxcXEhLS1NelEJIYQQZqIin98m1WwzIiKC0NDQUveFhYUxdepUAPLz89m/fz8zZswo+b6FhQWhoaFERERUZ9QynUpIZ+upOFzsrXC1s8LV3gpXO2vqOttgZ6VVO54QQpgevR6ykiA7GXKuQ04q5KaC1hJs3cHeDWzdwLEu2LqonVaUoUCnJyk9j+s5+aRlF5CaXUBqTgFNPR3o1axhuRpjGoNJFTgJCQl4eXmVus/Ly4v09HRycnK4fv06Op2uzHNOnDhx2+fNy8sjLy+v5M/p6elVG7zI7vMJfHb+caM8txBCCGFWzkJk40jsrexVeflasYpq9uzZuLi4lNx8fHyM8joNXG2N8rxCCCGEqBiTGsHx9vYmMTGx1H2JiYk4OztjZ2eHVqtFq9WWeY63t/dtn3fGjBlMmzat5M/p6elGKXJCW/oQ2TTylvuTMvI4fCmVQ5dTOXQpjSNxaeQV6ku+38HXjSHtGzCoTT2stLWi5hRC1AZJJyB6BRxbD7lpN+53bQQNOkDDDtCgPXi2Bou7fBzlpsKVAxB3AOL2K7e8m0bj67aEgMcgcATYyNzKqmAwGNhx+irf74tjx6mrFOqVKbtaCw0tvB1p5+NKWx9X2jZwxcfdrsxLUXaWdtUdu4RJFTghISH8/vvvpe7bvHkzISEhAFhbWxMUFMSWLVtKJivr9Xq2bNnClClTbvu8NjY22NjYGC13MY1GU+ZQnJ+7PX7ubjzcVvlzVl4hm44m8FN0HLvOXmNfbBb7Yk/xxdZL/PuBZvyrfQMpdIQQ5uvqKdg2G46uA4rWsTjVhzaPQ9th4Nmq4s9pZQ8t6kOLgcqfdQVwZgscWg0n/4Ck47DlLdj1KXR5DoKfBhvHKntLtYnBYGDbqat8svkUhy8XF6ZWBDRw4V+BDXi4XX08HI3/mXqvjLqKKjMzkzNnzgAQGBjI3Llz6d27N+7u7jRq1IgZM2YQFxfHypUrAWWZ+P3338+zzz7LuHHj+Pvvv/n3v//Nhg0bCAsLA5Rl4qNHj+bLL7+kU6dOzJs3j7Vr13LixIlb5ubcjimtoopPy2HdgTiW7YrlaoYyT8i3jj3P92nG4HYN0FqoMzlLCCEqLPksbP8AjnwPhqJR6lYPQ4dx0LgHWBhpsUVOqlJM7fkcrp1U7rOvA12fh44TwVqdOSDmxmAwsOtMMnM3nyT6YioA9tZaRgQ34rEOPjT3clI3IBX7/DZqgbNt2zZ69+59y/2jR49m+fLljBkzhtjYWLZt21bqMS+88ALHjh2jYcOGvP7664wZM6bU4z/77DM++ugjEhISaNeuHZ9++inBwcHlzmVKBU6xnHwdq/Zc4PPtZ0nJygcgoIELHz7ahlb1TCOjEEKUqTAPdsyBf+aCvlC5r+VD0GsGeN9ffTn0Ooj5URk9Sjmn3OfiA4PmQdPQOz60tktMz2Xm+hg2H1OmgNhaWRAe4sdTPfypY0KjNSZT4JgqUyxwimXlFbIiIpbPt50lI7cQSwsNz/RuypTeTbG2lMtWQggTc3kf/PwsXC1aydo0FB6YCfUD1cukK4TD38G29yHtknJf2ych7F2wd1cvlwkyGAx8v/8yb/92jIzcQqy0GkYE+/JM7yZ4OpnewhkpcO7ClAucYklF1fSfRdV0cy9HPny0Le18XNUNJoQQAPnZsPVd2PM/5XKUQ10YMAfuG6J2shvyMuHvdyDyC8AAjl5KxtYPq53MJFy+ns2Mn46w8/Q1ANo0VK4atPQ2zc9FkALnrsyhwAGlst5wJJ43fj5KclY+Fhr4z4BWjO/WWLWNk4QQguSzsGYkJB1T/tzmCej3vumOjlyMVEaZkk8rfw4aC/0/AEvTufRS3TYfS2TamoNk5BViY2nBtAebM75bYyxNfIGLFDh3YS4FTrGUrHxm/RzDb4fjARjUtj4fPBKAvbVJLYITQtQGJzfCT5MgL00ZEXl4ATQPUzvV3RXkwvb34Z95gAEadoTHvwbnemonq1Z6vYF5W07z6Ral2GvfyJU5j7XFv655rDiTAucuzK3AAWU0Z8XuWN7ZcJxCvYGW3k58OSoI3zoOakcTQtQGej3s+Ai2vaf82ScYHlthfgXCqT/hpwnKvjwOnvD4SvANUTtVtUjLKeCFNQf5+4TSnHp0iC+vDWxtVvM7pcC5C3MscIpFnU/hmW+iuZaZh7OtJQtHtKd7s7pqxxJC1GR5mfDTRDhZtE9Zh/HKJSlLa3VzVVbyWVgzCpKOKhsM9v8QOo5XO5VRnUnKYMKKfcQmZ2NjacG7/wrg0aCGaseqsIp8fptP2SYA6NTYnd+e60ZgI1fScwsZt3wvvx66onYsIURNlZ0CKwcrxY3WBgYvhIfmmm9xA1CnCUzYDPcNVZa1b5imrLiqob/vH7qUymNfRBCbnE0DVzt+nNzFLIubipICxwx5u9jy3aTODGpbnwKdgX9/d4BvIy+qHUsIUdOkx8OyARC3D+zcYMwGCBypdqqqYe0Ajy5V9uoBZe+cjdOVS3E1yO6z13hy0R6uZxfQtqELv0zpyv0NakdXdilwzJSNpZZ5T7RjRHAjDAb4z7oj/G/bGbVjCSFqipRzsDQMrh4Hp3ow9g/w6ah2qqql0UCv6colKlCWk6+frLSBqAH+PJrAmGV7ycrX0aVJHb6Z2NmkNu0zNilwzJjWQsM7Q+7n2d5NAPhw40lm/36cWjitSghRlRKPwtJ+kHoB3BrDuI2V6x9lLoKfgn99BRqtskHg2nBl1ZUZ+3H/ZSZ/E01+oZ6+rb1YOqYjjja1a+WtFDhmTqPR8HJYS14boPzw+XLHOT7YeFLlVEIIs3X1FKwYBJmJ4HU/jNsEbn5qpzK+tk/AsG+UeUYnf4fvx5jtSM7PB+N46YdD6PQGHg1qyP9GtMfWykh9wEyYFDg1xMQe/rz7L6Xnyxfbz7Jwq1yuEkJUUOpF+HoIZCdDvbYw5jdwKl8T4xqhRX8Y+QNY2sKpP5TLVWY2J+evY4lMW3sIgwFGdm7Eh4+0MfnN+4yldr7rGmpEsG/JSM5Hm06yMiJW3UBCCPORkaislkqPA48WMHKdMrG4tmncQ9kA0MJS6Yr++4tms7pq95lrPPNtNDq9gaGBDXjr4fuxsKi9u95LgVPDTOzhz78faArArJ+P8lP0ZZUTCSFMXnaKMnKTcg5cfSF8PTjUUTuVepr3haFfARrYtxT+esPki5wDF68zYeW+kjk3Hz7aplYXNyAFTo30woPNGdPFD4CXfzjMpqMJ6gYSQpiuvEz45lGlr5SjN4T/DM711U6lvvsfgUHzleNd8+GfuermuYOTCRmMWbaX7Hwd3Zp6sODJwFp7Wepm8jdQA2k0GmY91JpHgxqi0xt4/rsDHLmcpnYsIYSp0euVvlJx+8HOXRm5cW+sdirTETQa+r6rHG95C478oG6eMlzNyGPc8r2k5RTQvpErX4UHYWNZ+yYUl0UKnBrKwkLD+0MD6NWiLrkFeias3EtCmnkvexRCVLEtb8LJDcrKoSfX1Oyl4JXVZQqETFGOf34WLu9XN89Ncgt0PPX1PuJSc2js4cDSMR2lCfNNpMCpwSy1Fnw6PJBmno4kpucxceU+cvJ1ascSQpiCA9/ArnnK8eDPwKeTqnFM2oNvQfN+UJgLq4dBmvpzGw0GA6/+eJjoi6m42FmxZHQHXO3NuH2GEUiBU8M521qxdExH3B2sORKXxrS1B9HrTXuynBDCyC7shl+fV457vAxtHlc3j6mz0MIji5V9gbKS4NthytwlFX329xl+PngFSwsNn49oj39dR1XzmCIpcGoBH3d7vhwVhJVWwx8xCczdfErtSEIItaSch+9GgL4AWg+GXv9RO5F5sHGC4avBoS4kHlHmLqm0R86Gw/F8XPRz/M3B99GlqYcqOUydFDi1REc/d2YPbQPAZ1vP8PuReJUTCSGqXX62UtzkpEC9djDkC7CQj4Fyc20Ew1YX7Xa8Aba/X+0RTiSk8+L3BwEY29WPEcG+1Z7BXMi/7Frk0aCGTOrhD8ArPxwm9lqWyomEENXq95cg6Sg4eCqjEdb2aicyPz4d4eEFyvH2D+HMlmp76cy8Qp75JprcAj3dm3mUbOwqyiYFTi3zclgLOvq5kZlXyORvosktkEnHQtQKB1bBwW9AYwGPLpG9bu5F2ycgaCxggJ8mQlqc0V/SYDAw46cjnLuahbezLfOeaCd73dyF/O3UMlZaCxYMb08dB2uOx6fz5q9H1Y4khDC2hBjY8KJy3Ps/SjsCcW/6vQ/ebZS+XT+MNXpjzlV7LvDrIWVS8cIRgdRxtDHq69UEUuDUQt4utswfFohGA6ujLkk7ByFqstx0WBuuLHFu+iB0e1HtRDWDlS08vgJsXOBSJPz1X6O91OHLqbz923EAXu3XkiBfd6O9Vk0iBU4t1a2ZB8/3aQbAa+tiOJWYoXIiIUSVMxjgl+cg5Sw4N1T6K8mk4qrj7g9DFirHEZ/BiQ1V/hJp2QU88000+Tqlx9SE7rLTdHnJv/Ra7LkHmtG9mQc5BTqmfCvzcYSocaJXwLH1Smfsx5aBvfzmX+VaDbqx0/H6yVU6H8dgMDBj3WEuX8/Bx92Ojx5ri0ZTuxtoVoQUOLWY1kLDJ0+0w8PRhlOJmXy06aTakYQQVSX5LGws2uOmzxuyU7Exhf4X6reH3DSlyKmi/XF+io7j9yMJyrybJ9vjYmdVJc9bW0iBU8t5ONrw4aMBACz55zy7zlxTOZEQ4p7pCmHdU1CQBX7db4wwCOPQWsHQRWBpB+e3Q9SX9/yUl1KyeeMXZRHI1NBmtGnoes/PWdtIgSN4oKUXTwY3AuCl7w+Rlm3c1QBCCCP7Zy5c3gs2zjDkc5l3Ux08mkLYO8rx5jcg6Xiln0qnN/Di94fIzCukfSNXnu7ZpIpC1i7yr14AMHNgK/zq2BOflsvrP8eoHUcIUVlx+2Fb0Q67A+aAq4+6eWqTDuOVlWq6PGV/nML8Sj3N4p3niDqfgr21lk9kv5tKk781AYC9tSWfPNEOrYWGXw5d4eeDxt+4SghRxfKz4aenwKCD+/4lTTSrm0ajdGa3c4eEI7DtvQo/xbEr6cz5U5kPOeuh1vjWcajqlLVGtRQ4CxcuxM/PD1tbW4KDg4mKirrtub169UKj0dxyGzhwYMk5Y8aMueX7/fr1q463UqMFNnJjSu+mALy+Pob4tByVEwkhKuSvNyD5NDh6w8C5ygeuqF5O3jBovnL8zzy4EFHuh+YV6nhhzUEKdAZCW3nxREcZfbsXRi9w1qxZw7Rp03jjjTeIjo6mbdu2hIWFkZSUVOb5P/30E/Hx8SW3mJgYtFotjz32WKnz+vXrV+q81atXG/ut1ApTHmhK24YupOcW8vr6GAwGg9qRhBDlcWE3RH2lHA9ZKEvC1dT6YWj7JGCAX6ZAQW65HrZw61lOJmZQx8Ga9x8JkCXh98joBc7cuXOZOHEiY8eOpXXr1nzxxRfY29uzdOnSMs93d3fH29u75LZ582bs7e1vKXBsbGxKnefm5mbst1IrWGkt+OixtlhpNfx1PInfDkvXcSFMXkGusqEfQOAoaBqqbh4B/d4DRy9IPgM7Przr6ScTMvh82xkA3hx8Hx7SiuGeGbXAyc/PZ//+/YSG3vifzcLCgtDQUCIiyjdst2TJEoYNG4aDQ+nrkNu2bcPT05MWLVowefJkkpOTqzR7bdbcy4lneimXqv77y1GuZ1VuopwQoprs+FD5IHX0hr7vqJ1GANi5wcCPleNd8yH+8G1P1ekNvPLjYQp0Bh5s7cXAgHrVFLJmM2qBc+3aNXQ6HV5eXqXu9/LyIiEh4a6Pj4qKIiYmhgkTJpS6v1+/fqxcuZItW7bwwQcfsH37dvr3749OV/ZOvHl5eaSnp5e6iTt7pncTmns5kpyVz9u/HVM7jhDiduIPK3M9AAbOATtXNdOIm7UaBK0eBn2hcqlKV1jmact2nefQpVScbCx5e/D9cmmqipj0KqolS5YQEBBAp06ld+AcNmwYDz/8MAEBAQwZMoTffvuNvXv3sm3btjKfZ/bs2bi4uJTcfHxk4tbd2Fhqef+RNmg08NOBOLadLHvOlBBCRbqiD06DDloPVj5QhWkZMAdsXSD+EOxZeMu3LyZn8/GfpwD4z8BWeLvYVnfCGsuoBY6HhwdarZbExMRS9ycmJuLt7X3Hx2ZlZfHdd98xfvz4u76Ov78/Hh4enDlzpszvz5gxg7S0tJLbpUuXyv8marH2jdwY08UPUBpyZuaV/duHEEIlEZ8pH5y2rtD/I7XTiLI4eUFY0XLxre8pLTSKGAwG/rPuCDkFOjr7uzNMVk1VKaMWONbW1gQFBbFly5aS+/R6PVu2bCEkJOSOj/3+++/Jy8tj5MiRd32dy5cvk5ycTL16ZV+3tLGxwdnZudRNlM9LfVvQ0M2OuNQc5kivKiFMR/JZ2DZbOQ57V/kgFaap3Qjw7wWFufDr80qXd+CH/Zf558w1bCwteH9oG7k0VcWMfolq2rRpLFq0iBUrVnD8+HEmT55MVlYWY8eOBSA8PJwZM2bc8rglS5YwZMgQ6tSpU+r+zMxMXn75Zfbs2UNsbCxbtmxh8ODBNG3alLCwMGO/nVrHwcaS9/6l9KpaGRFLTFyayomEEBgM8Mcrygemfy/lA1SYLo0GHpqn9KqK3QlHvic1O5/Zf5wA4IUHm+PnIRv6VTWjFzhPPPEEc+bMYdasWbRr146DBw+ycePGkonHFy9eJD6+9FLkkydP8s8//5R5eUqr1XL48GEefvhhmjdvzvjx4wkKCmLnzp3Y2MiyOmPo0bwuD7Wph94Ar/8cg14ve+MIoaoTv8GZv0BrLRv6mQv3xtDzZeV402t8+vt+UrLyae7lyPhujdXNVkNpDLVwJ7f09HRcXFxIS0uTy1XllJCWS5+Pt5GVr+ODRwJ4omMjtSMJUTvlZ8FnnSD9MnR/Cfq8rnYiUV6FefB5F0g+w7LCMN4sHM13kzrT2b/O3R8rgIp9fpv0KiphOrxdbJka2hyA9/84IXvjCKGWHR8pxY1LI+j+otppREVY2qDrPweAcO2fPNsqR4obI5ICR5TbmK5+NPdy5Hp2AR/9KROOhah2V0/B7s+U4/4fgLW9unlEhX2X7M9vus5oNQaez/sC9Hq1I9VYUuCIcrPSWvD24PsBWB11kUOXUtUNJERtYjDA7y+BvgCahUGL/monEhWUnJnHhxtP8k7BCAq0dlhf2QuHvlU7Vo0lBY6okGD/OgwNbIDBADPXx6CTCcdCVI+jP8H57WBpq4zeyMRis/PBxhOk5RTgXq8xFr2LVg9vngXZKeoGq6GkwBEVNn1AS5xsLDkSl8bafbJpohBGl58Fm2Yqx92mKStyhFk5dCmVtfsuA/D2kPvQhjwDdVtCdvKN/YxElZICR1SYp5MtUx9UJhx//OdJMnILVE4kRA23ewFkXFEmFnd9Xu00ooIMBgNvFfX0GxrYgCBfd9BaQf+iLuN7l8BVmddY1aTAEZUyqrMv/h4OXMvMZ+HWs3d/gBCictLibjTT7PsWWEmvInPz2+F49l+4jp2Vllf6tbzxDf+e0GKg0kts02vqBayhpMARlWJtacFrA1sBsPSf81xKyVY5kRA11JY3oTAHGoVA6yFqpxEVlFug4/2iHYsn92pyazPNvm+DhRWc2QynN6uQsOaSAkdU2gMtPenezIN8nZ7ZfxxXO44QNc/lfXB4DaCBfrNlYrEZWrzzHHGpOdR3sWVid/9bT6jTBIKfUo43vQY6ueRfVaTAEZWm0WiYObA1Fhr4/UgCkeeS1Y4kRM1hMMDG6cpx2+FQP1DdPKLCEtNz+d825RL+q/1bYmetLfvEHi+DfR24dhL2L6++gDWcFDjinrTwdmJ4J6Vtw9sbjkmfKiGqSsyPcHkvWNlDn1lqpxGV8NGmk2Tn6whs5MrDbevf/kQ7V+j9H+V467uQc71a8tV0UuCIezbtweY42VgSE5fOj9GX1Y4jhPnLz4bNbyjH3aaBcz1184gKO3I5jR/2Kz8PX3+oNZq7XV5sPwbqtlKKm+0fGj9gLSAFjrhndRxt+HefZoDyG0tOvk7lREKYucjPlX5Tzg2hyxS104gKMhgMvPu7six8SLv6tG/kdvcHaS2h33vKcdRXkCyrU++VFDiiSoR38cXH3Y6kjDyW7jqvdhwhzFdW8o1l4X1mgZWdqnFExW07dZU951KwtrTg5ZuXhd9NkwegaSjoC+Hvd4wXsJaQAkdUCRtLLS/1bQHAF9vOkiLdxoWonJ0fQ146eAVAwGNqpxEVpNMb+KBoWfiYLn40cK1ggRr6X0CjtOaI21/l+WoTKXBElRnUpj6t6zmTkVfIwq1n1I4jhPm5fgH2LlKOH/wvWMiPaHOz/kAcJxIycLK15JleTSr+BN4B0OYJ5XjzG8pqOlEp8n+PqDIWFhqm91eGY7+OuCCb/wlRUVvfBV0+NO4BTfqonUZUUG6BjrmbTwHwTK+muNpbV+6Jev8HtNYQuxPObKnChLWLFDiiSvVoXpduTZXN/4r/RxdClEP8YTi8VjkOfVM29TNDq/ZcIC41B29nW8Z29av8E7n5QqdJyvFfb4BeXyX5ahspcESVe7VoUt36g3EcvZKmchohzMRf/wUMcN9QaNBe7TSigtJyCvis6NL8tAebY2t1m039yqv7i2DjAokxcOT7KkhY+0iBI6pcQEMXHm5bH4MBPtgoHXKFuKtz2+DsFrCwhD6vq51GVMIX28+Sml1Acy9HHglqeO9PaO8O3aYqx3+/AwW59/6ctYwUOMIoXurbAiuthh2nrrL7zDW14whhugyGotEboMM4cC+jX5EwaYnpuSz9R9ke45WwlmgtqujyYvDT4FQf0i7CviVV85y1iBQ4wiga1bHnyaIWDnP+PIlBVgIIUbYTG+DKAbBygB6vqJ1GVMJnf58hr1BPB183+rTyrLontraHXq8qxzvnQl5m1T13LSAFjjCaZ3s3xdbKguiLqWw7eVXtOEKYHr1eWTkF0PlpcKyrbh5RYZdSsvlu70UAXgprcfeWDBXVbgS4NYbsaxD1ZdU+dw0nBY4wGk9nW0aH+AEyiiNEmY7+BEnHlMmkXZ5TO42ohAV/n6ZAZ6BbUw86+9ep+hfQWkGvGcrxrvmQk1r1r1FDSYEjjOrpnk1wtLHk6JV0NsYkqB1HCNOhK4Rts5XjLs+BXTn6FQmTcu5qJj9GxwHwYt/mxnuhgEehbkvITYM9/zPe69QwUuAIo3JzsGZct8YAzN18Cp1eRnGEAODwGkg+A3buyuUpYXbm/XUand5AaCtPAsvTULOyLLTK5n8AEf9T+pWJu5ICRxjd+G6NcbGz4nRSJr8euqJ2HCHUV5gP299Xjru9ADZO6uYRFXYiIZ1fDys/z1540IijN8VaDgLvNpCfAbvmGf/1agApcITRudhZMamHsvT1k79OUaCTXTlFLXdgJaReBEcv6DhB7TSiEub+eQqDAQYG1OO++i7Gf0ELC3hgpnIctQgy5JL/3UiBI6rFmC5+eDhacyE5mx/3X1Y7jhDqKciBHXOU4+4vKUuBhVk5fDmVP48lYqGBFx5sVn0v3KwvNOwIhTnKsnFxR1LgiGrhYGPJ5F5NAVjw9xnyC2UUR9RS+5dDRjy4+EDQaLXTiEr4pKjP3pDABjT1rMbLixoNPFC00/X+ZZAWV32vbYakwBHVZkRwIzydbIhLzeEHGcURtVFBDvzziXLc/UWwtFE3j6iwg5dS2XryKloLDf9+oBpHb4r59wTfrkrX+eJ/S6JM1VLgLFy4ED8/P2xtbQkODiYqKuq25y5fvhyNRlPqZmtrW+ocg8HArFmzqFevHnZ2doSGhnL69Gljvw1xj2yttDzVswkAC7fKKI6ohfavgMxEZfSm3Qi104hK+HSL8lkzuF19/Dwc1AnRs2h34+gVkC4LN27H6AXOmjVrmDZtGm+88QbR0dG0bduWsLAwkpKSbvsYZ2dn4uPjS24XLlwo9f0PP/yQTz/9lC+++ILIyEgcHBwICwsjN1eakZm6EcGN8HBURnF+ipZRHFGLFOTeWP3S7QWwtFY1jqi4w5dT+ftEEhYaeE6N0ZtijXtAo5CiUZx56uUwcUYvcObOncvEiRMZO3YsrVu35osvvsDe3p6lS5fe9jEajQZvb++Sm5eXV8n3DAYD8+bNY+bMmQwePJg2bdqwcuVKrly5wvr16439dsQ9srXS8nRPZUXVZ1vPyIoqUXtEr1Tm3jg3hMCRaqcRlVA8ejOkXQMaqzV6A8pcnF7TleP9yyE9Xr0sJsyoBU5+fj779+8nNDT0xgtaWBAaGkpERMRtH5eZmYmvry8+Pj4MHjyYo0ePlnzv/PnzJCQklHpOFxcXgoOD7/icwnSMCPbFw9Gay9dzWBctk+RELVCYd9Pcmxdk7o0ZiolL46/jyujNlAeaqh0HGvcEn86gy1NaOIhbGLXAuXbtGjqdrtQIDICXlxcJCWWv4W/RogVLly7l559/ZtWqVej1erp06cLly8rljOLHVeQ58/LySE9PL3UT6rGz1pbsiyOjOKJWiF4JGVfAuQEEjlI7jaiE+UWjNw+3rY9/XUeV01A0ilM0F2f/MtkXpwwmt4oqJCSE8PBw2rVrR8+ePfnpp5+oW7cuX35Z+S6qs2fPxsXFpeTm4+NThYlFZYzs7EsdB2supmSz/oCM4oga7ObRm24yemOOjl5JY/OxRDQamKLm3Jv/z783NOwEhbmw61O105gcoxY4Hh4eaLVaEhMTS92fmJiIt7d3uZ7DysqKwMBAzpw5A1DyuIo854wZM0hLSyu5Xbp0qaJvRVQxe2tLJt40ilMooziipjqwCtLjwKmejN6YqeK5N4Pa1KeppwmM3hS7eRRn31LIvP3indrIqAWOtbU1QUFBbNmypeQ+vV7Pli1bCAkJKddz6HQ6jhw5Qr169QBo3Lgx3t7epZ4zPT2dyMjI2z6njY0Nzs7OpW5CfaM6++LuoOxu/Iv0qBI1ka6g9OiNle2dzxcm50RCOpuOKqM3/+5jAnNv/r8mfaBBB2V3490yinMzo1+imjZtGosWLWLFihUcP36cyZMnk5WVxdixYwEIDw9nxowZJee/9dZb/Pnnn5w7d47o6GhGjhzJhQsXmDBB6dei0WiYOnUq77zzDr/88gtHjhwhPDyc+vXrM2TIEGO/HVGFHGwsGV/Uafx/286il07joqY5vAbSLik9p9qHq51GVMLCrWcBGBBQr3p3LS4vjebGvjh7l0J2irp5TIilsV/giSee4OrVq8yaNYuEhATatWvHxo0bSyYJX7x4EQuLG3XW9evXmThxIgkJCbi5uREUFMTu3btp3bp1yTmvvPIKWVlZTJo0idTUVLp168bGjRtv2RBQmL5RIb58sf0sZ5Iy2XQ0gf4B9dSOJETV0Otu9AsKmQJWdurmERV2/loWG4o6hj/bywRHb4o1exC8AyDhCER+Ab3/o3Yik6AxGAy17tfm9PR0XFxcSEtLk8tVJmDOppN8tvUM9zdw5tcp3dBoNGpHEuLexfwEP4wFW1d4IQZsTPC3f3FHr/5wmDX7LvFAS0+Wjumodpw7O7oOvh8Dti7wwtEa+++tIp/fJreKStQ+47o1xs5KS0xcOttPXVU7jhD3zmC4MXrTeXKN/bCpya6k5vDTAWV7kmd7m/DoTbFWD0OdZpCbBnuXqJ3GJEiBI1Tn7mDNk8GNAKVHlRBm79QmSDwC1o7QaZLaaUQlfLXjHAU6AyH+dQjydVM7zt1ZaKH7NOU4YqHS2LWWkwJHmISJ3f2x1lqwN/Y6keeS1Y4jROUZDLBzjnLccTzYu6ubR1TY1Yw8VkddBExk1+LyCngMXBpBVhJEf612GtVJgSNMgreLLY8ENQSUfXGEMFvnd8DlvaC1gc7Pqp1GVMKSf86TV6inrY8rXZrUUTtO+WmtoOu/leNd86EwX908KpMCR5iMyT2boLXQsPP0NQ5fTlU7jhCVs/Nj5Wv7cHDyuvO5wuSkZRewas8FAKb0bmp+ix4CRynbEqRfhiNr1U6jKilwhMloVMeeh9vWB2QujjBTl/fB+e1gYQldn1c7jaiEFRGxZOYV0tLbiT4tPdWOU3FWtsq2BKBMdNfr1M2jIilwhEl5plcTAP48lsiZpEyV0whRQcW7Frd5Alyl5525ycnXsXx3LACTezXBwsLMRm+KdRinbE+QchaO/6p2GtVIgSNMSjMvJ0JbeWEwwFc7zqodR4jyu3oKTmxQjmX0xiyt3XeJlKx8fNztGGjOm47a3LR6b9c8ZeJ7LSQFjjA5k3spTTjXHYgjIS1X5TRClNPu+YABWgyEui3UTiMqqFCnZ9HOcwBM6u6PpdbMPx6DnwJLO7hyQJn4XguZ+X9BURMF+brT0c+NAp2BpbvOqx1HiLtLvwKH1ijH3aaqGkVUzoYj8Vy+nkMdB2se61ADLi86eEDgSOV41zxVo6hFChxhkiYXzcX5NvIiaTkFKqcR4i72/A/0BeDbFXw6qZ1GVJDBYOCL7crozdiufthaaVVOVEW6TAGNFs7+DVcOqp2m2kmBI0xS7xaetPByIjOvsGTJphAmKScV9i1XjrtOVTGIqKztp65yPD4dB2stozr7qR2n6rj5wf1DleNd81WNogYpcIRJ0mg0PNVTmYuzbFcsuQW1d6mjMHH7lkB+Bnjep3R1Fmbni+3KgobhnRrhYm+lcpoqVjzh/dh6SDmnapTqJgWOMFmD2tangasd1zLz+DH6stpxhLhVQS7s+UI57vo8mNumcIKDl1LZcy4FK62G8d0bqx2n6nkHQNNQMOhh92dqp6lWUuAIk2WltWB8N+UHzlc7zqHT186ljsKEHfpW6fvj4nPjUoAwK19sU0ZvBrdrQD0XO5XTGEnxpdOD30BmkqpRqpMUOMKkDevkg6u9FReSs9kYk6B2HCFu0Otg16fKccgUpQ+QMCvnrmay6Zjyc+XpokviNZJfN2gQBIW5EPml2mmqjRQ4wqTZW1sSHuIHKBv/GWrphlXCBJ3YANfPg50btB+ldhpRCYv/OY/BAKGtPGnq6aR2HOPRaG6M4uxdDPlZqsapLlLgCJMXHuKLjaUFhy6nsTf2utpxhFDsXqB87TgBrB3UzSIq7FpmHj/uV+b2TerRROU01aDlQHBrDLmpcOAbtdNUCylwhMnzcLThkaCGgDIXRwjVXdwDl6NAa3NjS3xhVlZGXCCvUE9bH1c6+rmpHcf4LLQQ8qxyHPFZrWjCKQWOMAvjuzVGo4G/jksTTmECikdv2g4DRzPsOF3L5eTr+DoiFoCnevijqS2r39qNADt3SL0Ax39RO43RSYEjzEKTuo6EtvICYMk/MoojVHTtzI2mmiFT1M0iKuWH6Mtczy7Ax92OsPu81Y5TfaztodNE5XjXpzW+CacUOMJsPNVDWeXwY3QcVzPyVE4jaq2IzwADNO8PdZurnUZUkE5vYHFRU80J3fzRWtSS0ZtiHScql1avRMPFCLXTGJUUOMJsBPm6EdjIlfxCfcnwshDVKvMqHFqtHHd5Tt0solI2H0vgQnI2LnZWPNahodpxqp9jXWg3XDkuvtRaQ0mBI8yGRqNhUndlFGflngtk5xeqnEjUOnsXK3uJ1G8Pvl3UTiMqoXihwqjOvthbW6qcRiUhUwANnPwdrp5SO43RSIEjzErf+7zxrWNPanYBP+yX9g2iGuVnQ9RXynHXf0tbBjO0LzaF6IupWGstGN3FT+046vFoBi0GKMcRNbd9gxQ4wqxoLTRMKGrfsHjneWnfIKrPodWQkwKuvtBykNppRCUsKpp7M7R9A+o62aicRmXFl1gPfadceq2BpMARZufRIKV9w8WUbP46nqh2HFEb6PWw53/KcefJoK2llzbM2IXkLP48pvy8KO5xV6s16qy0b9Dlwb4laqcxCilwhNmxs9YyIrgRAEt2nlc5jagVTv8JyWfAxgUCR6qdRlTCsl2xGAzQq0VdmnnV4LYM5aXR3Nj4L2oRFOSqm8cIpMARZik8xA8rrYao2BQOXUpVO46o6YrnKQSNBhv5cDQ3adkFrN13CVCWhosirQaDiw9kX4Mja9VOU+WkwBFmycvZlkFt6wOw5B8ZxRFGFH8IYneCRgvBT6mdRlTC6r0Xyc7X0dLbia5N66gdx3RoLW/8m45YWOM2/pMCR5it4uvoG47EcyU1R+U0osaKKJp7c9+/wKUW7pti5gp0epbvigWKW77I6rdS2oeDtSNcPQFnt6idpkpVS4GzcOFC/Pz8sLW1JTg4mKioqNueu2jRIrp3746bmxtubm6Ehobecv6YMWPQaDSlbv369TP22xAm5r76LoT410GnN7Bid6zacURNlH4FYn5QjovnKwiz8vuReBLSc/FwtOHhdvXVjmN6bF2UIgeUUZwaxOgFzpo1a5g2bRpvvPEG0dHRtG3blrCwMJKSkso8f9u2bQwfPpytW7cSERGBj48Pffv2JS4urtR5/fr1Iz4+vuS2evVqY78VYYImdFdGcb6Nukhmnmz8J6pY1CLQF0KjLtCgvdppRAUZDIaSpeGjQ3yxsdSqnMhEBT8FGgs4+zckHlM7TZUxeoEzd+5cJk6cyNixY2ndujVffPEF9vb2LF26tMzzv/nmG5555hnatWtHy5YtWbx4MXq9ni1bSg+d2djY4O3tXXJzc6sF7e7FLXq38MTfw4GM3EK+L5pEKESVyM+CfUU/p2T0xixFnU8hJi4dG0sLRnT2VTuO6XLzg1ZFezvtqTmjOEYtcPLz89m/fz+hoaE3XtDCgtDQUCIiytfkKzs7m4KCAtzd3Uvdv23bNjw9PWnRogWTJ08mOTm5SrML82BhoWFc0Vycpbtk4z9RhQ5+C7mp4NYYWvRXO42ohMVFCxAeCWqIu4O1ymlMXMgU5evhtZBZ9hUWc2PUAufatWvodDq8vLxK3e/l5UVCQkK5nuPVV1+lfv36pYqkfv36sXLlSrZs2cIHH3zA9u3b6d+/PzqdrsznyMvLIz09vdRN1ByPtG+Iq70Vl1Jy2HysfP+uhLgjvR72fK4cd34GLOTShrmJvZZVshHouK6ysd9d+XSChh1Bl6/0XKsBTHoV1fvvv893333HunXrsLW1Lbl/2LBhPPzwwwQEBDBkyBB+++039u7dy7Zt28p8ntmzZ+Pi4lJy8/HxqaZ3IKrDzRv/LS1aLSHEPTmzGVLOKhv7tXtS7TSiEpbvvrGxX1NPR7XjmIfOzyhf9y2tERv/GbXA8fDwQKvVkphYejv9xMREvL297/jYOXPm8P777/Pnn3/Spk2bO57r7++Ph4cHZ86cKfP7M2bMIC0treR26ZLM1ahpRnX2w9JCU3TNPU3tOMLcFbdlCAoHG/lwNDfpuQUlc/KkLUMFtHoYnBtC1lWI+VHtNPfMqAWOtbU1QUFBpSYIF08YDgkJue3jPvzwQ95++202btxIhw4d7vo6ly9fJjk5mXr16pX5fRsbG5ydnUvdRM3i7WLLwDbKf/+lsvGfuBeJR+HcNmVVSadJaqcRlbB27yWy8nU083SkW1MPteOYD60ldJqoHO/5n9lv/Gf0S1TTpk1j0aJFrFixguPHjzN58mSysrIYO3YsAOHh4cyYMaPk/A8++IDXX3+dpUuX4ufnR0JCAgkJCWRmZgKQmZnJyy+/zJ49e4iNjWXLli0MHjyYpk2bEhYWZuy3I0zY2KLr7L8evkJSuvkPrwqVFM+9aTUIXBupm0VUmE5vYHnRvljjZGO/imsfDlb2kBij7OBtxoxe4DzxxBPMmTOHWbNm0a5dOw4ePMjGjRtLJh5fvHiR+Pj4kvM///xz8vPzefTRR6lXr17Jbc6cOQBotVoOHz7Mww8/TPPmzRk/fjxBQUHs3LkTGxsbY78dYcLa+bgS5OtGgc7Aqj0X1I4jzFHWNWUVCdyYjyDMyuZjiVy+noObvRX/CmygdhzzY+8ObYcrx8XFvpnSGAxmPgZVCenp6bi4uJCWliaXq2qY34/E88w30bg7WLN7+gPYWsnqF1EB2z+Cre9A/fYw8W+l47IwK49/GUHU+RSe7d2El8Naqh3HPF07DZ91ADTw3H6o00TtRCUq8vlt0quohKiovq29aOBqR0pWPr8cvKJ2HGFOCvNh7yLluPMzUtyYoZi4NKLOp2BpoWFUZz+145gvj2bQrC9ggKiv1E5TaVLgiBrFUmvB6C7KjqVLd52nFg5Qiso6ug4yE8GpHrQerHYaUQlLdykLDAa2qYe3i+1dzhZ31Hmy8vXAKsg1z5WpUuCIGueJDo2wt9ZyIiGDiLOyw7UoB4Phxhb1HSeApex6a26SMnL59ZAyajtWNva7d/69oW5LyM9UihwzJAWOqHFc7K14NKghAEtkybgoj4t7IP4QWNpC0Fi104hKWLXnIgU6A0G+brTzcVU7jvnTaG6M4kR+AfqyOwWYMilwRI00posfAH+fTCL2Wpa6YYTpiyxaLdLmcXCoo24WUWG5BTq+KVo5Obarn7phapI2T4CdG6RehJO/q52mwqTAETWSf11HerWoi8EAKyJi1Y4jTFnqJTj+m3Ic/LS6WUSl/HY4nuSsfOq52BJ23513yRcVYGUHQWOU48gvVY1SGVLgiBqr+Dr89/suk5FboHIaYbL2LgKDDhr3AK/71E4jKshgMLCsaHLxqBBfrLTysValOk4AjVbZ9C8hRu00FSL/EkSN1aOZB03qOpCZV8gP+y+rHUeYovws2L9COQ6erG4WUSl7Y69z9Eo6tlYWDO8oO09XOZeG0Pph5TjSvDb+kwJH1FgajYYxRaM4K3bHotfLknHx/xxeC7mp4OYHzaXVizkqHr35V2AD3Bxk9ZtRFBf/h79Xdvs2E1LgiBptaGADnGwtiU3OZtupJLXjCFNiMNyYV9BpEljIrtfmJi41h01HEwAYXbSwQBiBTyeo1w50ebB/udppyk0KHFGjOdhYMqyjDwDLdsWqG0aYlnPb4OpxsHaEwJFqpxGVsDIiFr0BujSpQ0tvabtjNDcvGd+7BHTmMadRChxR44WH+GGhgZ2nr3E6MUPtOMJUFI/etHsSbF3UzSIqLDu/kO+iLgGysV+1uO9f4OAJGVfg2M9qpykXKXBEjefjbs+DrZXu9ct2x6obRpiGlHNwaqNy3OkpdbOISll3II60nAIaudvzQEtPtePUfJY20GGcchz5hbpZykkKHFErFP+G91P0ZVKz81VOI1QX+RVgUBoKejRVO42oIIPBwPKiS86ju/ihtZDGqNWiwziwsILLe+HyfrXT3JUUOKJWCG7sTqt6zuQW6Plu7yW14wg15WXc6K0TLKM35mjXmWROJ2XiYK3lsQ4N1Y5Tezh5wf2PKMdmsGRcChxRK2g0GsYWrbL4OuIChTq9uoGEeg6uhvwM8GgOTfqonUZUwvLdytLwR4Ma4mxrpXKaWqZz0W7fR9dDRqKqUe5GChxRazzcrj5u9lbEpebw13FZMl4r6fUQddPScI1c2jA3F5Oz2XJC+f83XJaGV7/6gdCwE+gLYP8ytdPckRQ4otawtdIyvJOy0+kKmWxcO537G5LPgI0ztB2udhpRCSsjYjEYoGfzujSp66h2nNqp+NLu3iVQaLpzGqXAEbXKyM6+aC00RJxL5kRCutpxRHUrXhoeOBJs5MPR3GTlFbJmnzKHboyM3qin9WBwqgdZSXBsvdppbksKHFGr1He1I+w+Zcm4jOLUMsln4fSfgEZpICjMzk8H4sjILcSvjj09m9dVO07tpbWCDuOVYxNeMi4Fjqh1xnRRloyvOxDH9SzTHV4VVSzqK+Vr8zCo00TdLKLClKXhyuTi0V38sJCl4eoKGgNaa4jbD5f3qZ2mTFLgiFqno58brYuWjBcPd4saLjcdDnyjHMvScLP0z5lrnL2ahYO1lkeDZGm46hzrwv2PKsfFl35NjBQ4otZRuoz7AbJkvNY4VLw0vAX491Y7jaiE4o39Huvgg5MsDTcNwZOUr0fXQUaCulnKIAWOqJUebnvzknHT3stB3CO9/qau4RNlabgZir2Wxd8ni5aGh/iqnEaUqB8IPsHKkvF9prdkXAocUSvdvGRcuozXcGe3QMpZWRpuxlZGXChZGu4vS8NNS/El331LoTBP3Sz/jxQ4otYqXjIeeT6F4/GyZLzGkqXhZi0rr5DvZWm46Wr18E1Lxk2ry7gUOKLWkiXjtcC1M3BmM6BRLk8Js/NT9GUy8gpp7OEgS8NNkQkvGZcCR9RqxUvG1x+UJeM10t5FytfmYeDur24WUWEGg4HlRb98hIf4ytJwU1VqybjpdBmXAkfUarJkvAbLy7ixNLzTJHWziEqRpeFmwrHujS7jUaazZFwKHFGraTSakuv6X0dcQKc3qBtIVJ1SXcMfUDuNqITiS8ePBjWUpeGmrniyccxPJtNlXAocUeuV7jJuGv9jinuk19/YuVi6hpsl6RpuZkp1GV+udhqgmgqchQsX4ufnh62tLcHBwURFRd3x/O+//56WLVtia2tLQEAAv//+e6nvGwwGZs2aRb169bCzsyM0NJTTp08b8y2IGszWSsuwoiXjy2XJeM1w7m9IPg3WTtB2mNppRCUUdw3vIV3DzUfJknHT6DJu9AJnzZo1TJs2jTfeeIPo6Gjatm1LWFgYSUlJZZ6/e/duhg8fzvjx4zlw4ABDhgxhyJAhxMTElJzz4Ycf8umnn/LFF18QGRmJg4MDYWFh5ObmGvvtiBrq5i7jJxMy1I4j7lVk0ehN4EiwcVI3i6iwm7uGj5XRG/PRejA4ekNmIhz/Re00xi9w5s6dy8SJExk7diytW7fmiy++wN7enqVLl5Z5/vz58+nXrx8vv/wyrVq14u2336Z9+/Z89tlngDJ6M2/ePGbOnMngwYNp06YNK1eu5MqVK6xfv97Yb0fUUA1c7ejbWlkyvlyWjJu3kq7hyNJwM7VOuoabJ60VdBinHJtAfyqjFjj5+fns37+f0NDQGy9oYUFoaCgRERFlPiYiIqLU+QBhYWEl558/f56EhIRS57i4uBAcHHzb56w2Oddh16dwfoe6OUSlFE82Xn8gjrTsAnXDiMrbuxgwQLO+0jXcDBkMBlZGxAIQHiJdw81Oh7FgYQWXoyAuWtUoRi1wrl27hk6nw8vLq9T9Xl5eJCSU3ZgrISHhjucXf63Ic+bl5ZGenl7qZhT/fAKbX1e+CrPTqbE7Lb2dyCnQsWbfRbXjiMrIy4QDq5TjTtI13BxFnE3mVGIm9tZaHu0gS8PNjqMn3D9UOS6e6K+SWrGKavbs2bi4uJTcfHx8jPNCHcYBGjj7N1w9ZZzXEEZz85LxlbJk3DwdWg156eDeRJaGm6llRZeIH2nfEGdZGm6egp+Chh2VDTZVZNQCx8PDA61WS2Ji6aW3iYmJeHt7l/kYb2/vO55f/LUizzljxgzS0tJKbpcuGWlDNzc/aDFAOVa5chWVM7hdA1ztrbh8PYe/T5Q9EV6YKIPhxv93wU+BRa34/a1GuZSSzZairRpGd5Gu4WarQRBM+Avu+5eqMYz6E8Da2pqgoCC2bNlScp9er2fLli2EhISU+ZiQkJBS5wNs3ry55PzGjRvj7e1d6pz09HQiIyNv+5w2NjY4OzuXuhlNcNGOqYdWQ26a8V5HGIWdtZYnOiojfMt3n1c5jaiQc1vh2imwdpSu4Wbq6z0X0BugezMPmnrK6jdxb4z+K860adNYtGgRK1as4Pjx40yePJmsrCzGjh0LQHh4ODNmzCg5//nnn2fjxo18/PHHnDhxgv/+97/s27ePKVOmAMplhKlTp/LOO+/wyy+/cOTIEcLDw6lfvz5Dhgwx9tu5u8Y9oW5LyM+Eg9+qnUZUwqjOvlhoYNeZZE4nypJxs1G8NLzdCLA14i8xwihy8nWs2Stdw0XVMXqB88QTTzBnzhxmzZpFu3btOHjwIBs3biyZJHzx4kXi4+NLzu/SpQvffvstX331FW3btuWHH35g/fr13H///SXnvPLKKzz33HNMmjSJjh07kpmZycaNG7G1tTX227k7jeZG35uor5QdVYVZaehmz4NFS8ZXFK3mECYu5Tyc2qgcS98ps7T+YBxpOQU0crenVwtPteOIGkBjMBhq3UzK9PR0XFxcSEtLM87lqrxMmNsa8tLgye+hed+qfw1hVLvPXuPJRZHYWWnZ858+uNjJZEeTtuk1iPgMmvSBUT+pnUZUkMFgoN+8nZxMzGDmwFZM6C6d30XZKvL5LbPwjMHGEdqPUo5NqLOqKL8Q/zq08FKWjH8vXcZNW14mRH+tHAc/rW4WUSl7zqVwMjEDOystj3Uw0ipXUetIgWMsHScAGjjzF1w7o3YaUUEajYbRsmTcPBxeo4yWuvtD09C7ny9MTnHX8KHtG8hoqagyUuAYi3vjG3sAyJJxszQksD7OtpZcTMlm20lZMm6Sbl4a3nGiLA03Q5evZ/PnMWWT1tEyuVhUIflpYEzFnVUPfgu5Rto9WRiNvbXljS7j0p/KNJ3fDldPgJUDBI5QO42ohFV7LqI3QNemdWjuJUvDRdWRAseY/HuDR3PIz1D2xRFmZ1RnXzQa2Hn6GmeSZMm4ySlu6NduONi6qJtFVFhOvo7v9iptUUaH+KkbRtQ4UuAY081LxiO/lCXjZsjH3Z7QVkVLxndfUDmNKCXlPJz8QzmWpeFm6eeDcaRmF9DQzY4+rbzu/gAhKkAKHGNrOxxsnCHlrNKjSpidsUXzAn6Mvkx6rnQZNxnFXcObPAB1W6idRlSQwWAoufQ7OsQPrXQNF1VMChxjs3GEwKIl45FfqJtFVEpIkzo093IkO1/H9/suqx1HgCwNrwEiz6dwIkFZGv64LA0XRiAFTnXoVLxkfLMsGTdDSpfxxoCynFWWjJuA4qXhbo2h6YNqpxGVsHxXLFC0NNxeloaLqicFTnVw94fm/ZRjWTJuloYE1sfFzkqWjJsCg+HG5GLpGm6Wbl4aLn2nhLHIT4bqUtxl/OA3smTcDNlbW97UZTxW3TC13bltcO2k0jW83ZNqpxGVUNw1vFtTD5rJ0nBhJFLgVBf/3uDRQrqMm7HiLuM7T1+TLuNqKlka/qQsDTdDOfk6vouSruHC+KTAqS4azY1RnChZMm6OSi0Zly7j6pCu4Wbv5q7hvVtK13BhPFLgVKc2w8DGBVLOwdktaqcRlTCmqx8AP0UrP6RFNSteGt40FDyaqZ1GVJDBYCjpOxUe4itLw4VRSYFTnW7uMr7nc3WziEop7jKuLBmXLuPVSpaGm72Ic8mcSMjA3lq6hgvjkwKnuhV3GT+7Ba6eUjuNqCCNRlMyirNcloxXr0Ori7qGN4EmfdROIyph2c1Lw6VruDAyKXCqm3tjaNFfOY76Ut0solKGtGuAq70Vl6/nsOV4otpxage9XpaGm7lLKdn8VfT/S/G+UkIYk/yUUEPx8PrB1ZCTqmoUUXF21lqGdVS6jBf/RiqM7OzfkHxaaXsiS8PN0ordsRgM0KN5XZp6OqodR9QCUuCooXEP8GwNBVlw4Gu104hKKJ4gGXEumePxsq+R0UUWzVkLHAk2sm+KucnKK2RN0Zy1sbI0XFQTKXDUoNHcGMWJ+gr0OnXziAqr72pHv/u8AUpWhQgjuXYazvwFaKDTRLXTiEr4KfoyGbmF+Hs40LN5XbXjiFpCChy1BDwGdm6QehFO/qF2GlEJxZON1x2IIyUrX90wNVnx3Jvm/ZS2J8Ks6PUGlhV3De/ih4UsDRfVRAoctVjbQ9AY5Vi6jJulDr5u3N/AmbxCPaujLqodp2bKSb2x83dnWRpujnacvsq5q1k42VjySFBDteOIWkQKHDV1nAAaLcTuhIQYtdOICtJoNIwtWg3ydcQFCnSyO3WVO7BKmatWtxU07ql2GlEJxRPxH+vgg6ONpbphRK0iBY6aXBpCq0HKsYzimKWH2tbDw9GahPRcNh1NUDtOzaLXKXPUQFkarpFLG+bm7NVMtp+6ikYDo7v4qh1H1DJS4Kit82Tl6+G1kHVN3SyiwmwstTwZrPzgliXjVezURki9oMxVa/OE2mlEJRRPwO/T0hPfOg7qhhG1jhQ4avMJhnrtQJcH+5epnUZUwsjOjbDSath/4ToHL6WqHafmKG5n0n60MmdNmJW07AK+33cZgLFdZWM/Uf2kwFGbRgOdn1GOoxZDoazGMTeeTrYMalMfgGW7zqucpoaIP6zMTdNoZWm4mVqz7yI5BTpaeDnRpUkdteOIWkgKHFNw37/A0RsyE+DYerXTiEoY1035DXXD4XgS0nJVTlMDFM9Jaz1YmasmzEqhTs+K3RcAGNfND43MnxIqkALHFFhaQ6cJyvGe/4FBGjiam/sbuNCpsTuFegNf74lVO455y0yCI98rx8Wjm8Ks/HkskbjUHNwdrBncroHacUQtJQWOqQgaC5a2cOUAXIpUO42ohHFF8wy+jbxITr7sTl1p+5aCLh8adACfjmqnEZWw9B/lUu3I4EbYWmlVTiNqKylwTIWDB7R5XDne8z91s4hKebC1Fw3d7LieXcD6g3FqxzFPhXmwd7FyXLzCUJiVQ5dS2XfhOlZaDSM7y9JwoR6jFjgpKSmMGDECZ2dnXF1dGT9+PJmZmXc8/7nnnqNFixbY2dnRqFEj/v3vf5OWllbqPI1Gc8vtu+++M+ZbqR7BRT/Qj/+qtHAQZkVroWFMUSPBpf+cxyCXGisu5kfIugpO9ZX5N8LsFE+0H9SmPp7OtiqnEbWZUQucESNGcPToUTZv3sxvv/3Gjh07mDRp0m3Pv3LlCleuXGHOnDnExMSwfPlyNm7cyPjx4285d9myZcTHx5fchgwZYsR3Uk28WoN/LzDob2xwJszK4x19cLDWcjopk3/OyL5GFWIw3Bi97DQRtFbq5hEVlpiey2+H4wFZGi7UZ7QC5/jx42zcuJHFixcTHBxMt27dWLBgAd999x1Xrlwp8zH3338/P/74I4MGDaJJkyY88MADvPvuu/z6668UFhaWOtfV1RVvb++Sm61tDflNoXhS5f6VkHf70S5hmpxtrXisgw8AS/6RJeMVcmEXJBwBS7sbfdqEWVkZEUuh3kAnP3cCGrqoHUfUckYrcCIiInB1daVDhw4l94WGhmJhYUFkZPkn0aalpeHs7IylZekeJs8++yweHh506tSJpUuX1pzLAU0fBPcmkJcGB79RO42ohDFd/NBoYNvJq5xJkiK13Io39ms7DOzd1c0iKiy3QMe3kcql9XHd/NQNIwRGLHASEhLw9PQsdZ+lpSXu7u4kJJSvZ8+1a9d4++23b7ms9dZbb7F27Vo2b97MI488wjPPPMOCBQtu+zx5eXmkp6eXupksC4sbkysjv1D68Qiz4ufhQJ+WXoBs/FduKefgxAblOFi6hpujn6LjuJ5dQEM3Ox5s7a12HCEqXuBMnz69zEm+N99OnDhxz8HS09MZOHAgrVu35r///W+p773++ut07dqVwMBAXn31VV555RU++uij2z7X7NmzcXFxKbn5+Pjccz6jajscbF2UH/qnNqqdRlTC+KKN/36MvkxKluxOfVd7vgAMygimZ0u104gK0usNLPnnHKCMYGotZGM/ob4KFzgvvvgix48fv+PN398fb29vkpKSSj22sLCQlJQUvL3vXN1nZGTQr18/nJycWLduHVZWd55sGBwczOXLl8nLyyvz+zNmzCAtLa3kdunSpYq96epm46jsiwMQIUvGzVFnf3fuq+9MboGebyMvqB3HtOVchwOrlOOQZ9XNIipl+6mrnL2ahaONJU90NPFfIEWtYXn3U0qrW7cudevWvet5ISEhpKamsn//foKCggD4+++/0ev1BAcH3/Zx6enphIWFYWNjwy+//FKuycMHDx7Ezc0NGxubMr9vY2Nz2++ZrE6TIOIzuPCPsvlf/UC1E4kK0Gg0TOjemBfWHGJFxAUm9vDHxlI2PCvT/hVQkAWe9ymrCIXZWVw0ejOsow9OtrL6TZgGo83BadWqFf369WPixIlERUWxa9cupkyZwrBhw6hfX2lMGBcXR8uWLYmKigKU4qZv375kZWWxZMkS0tPTSUhIICEhAZ1OmYvy66+/snjxYmJiYjhz5gyff/457733Hs8995yx3oo6XBrAfUOVYxnFMUsDA+rj5WzD1Yw8fjsUr3Yc06QruLElQsizSvNZYVaOx6ez60wyFhoY09VP7ThClDDqPjjffPMNLVu2pE+fPgwYMIBu3brx1Vc39ncpKCjg5MmTZGdnAxAdHU1kZCRHjhyhadOm1KtXr+RWfFnJysqKhQsXEhISQrt27fjyyy+ZO3cub7zxhjHfijpCipaMH/0J0mRnXHNjbWnB6KKN/xbLxn9lO/YzpMeBgycEPKp2GlEJxdsh9A+oR0M3e5XTCHGDxlALf+qmp6fj4uJSsgTdpC0bqFym6joVHnxT7TSiglKz8wmZ/Tc5BTq+nRBMl6YeakcyHQYDLOqtXILtPRN6vqx2IlFBSem5dP3gbwp0BtY904XARm5qRxI1XEU+v6UXlakrnnS5f5ls/GeGXO2teaxDQ0AZxRE3uRihFDeWttBhnNppRCV8vecCBToDQb5uUtwIkyMFjqlr3g/c/SE3DQ6tVjuNqISxXRuj0cDfJ5Jk47+bRSxUvrYdDg511M0iKiwnX8eqPcoKwQndpC2DMD1S4Jg6C4sb7Rv2/E82/jNDjT0cCG2lbPy3VDb+UySfvbGxX/G/b2FWfjpwmevZBfi429H3PtnYT5geKXDMQbsnwdZV2fjv5O9qpxGVUPwb7o/7L5OcWfZ+TbXKns8BAzTrC3Wbq51GVJCysZ9SrI/p0lg29hMmSQocc2DtAB2LOqrv/kzdLKJSOjV2p01DF/IK9Xy9p5Zv/JedcmNjvy41bHuHWmLLiSTOXc3CyVY29hOmSwocc9FpEmit4dIeuBSldhpRQRqNhond/QFYGXGB3IJafKlx7xIozIF6bcGvu9ppRCUs2qFs7Dci2BdHmwrvFytEtZACx1w4eUObx5Xj3Z+qm0VUSv/7vWngakdKVj4/7L+sdhx1FORC1JfKcZd/y8Z+ZujAxetExaZgpdUwVjb2EyZMChxzEjJF+Xr8N2WSpjArllqLkiacS/45j05f67aggsPfQdZVcPGB1oPVTiMqYdFOZfRmcLsGeDnfvZWOEGqRAseceLZSJmViuLHEVpiVJzr64GxryflrWfx1PFHtONVLr78xh6zzZNBKzyJzcyE5i40xCQAll1yFMFVS4JibLv9Wvh78BrKuqZtFVJiDjSUjO/sCN+Yx1BqnN0HyabBxgfbhaqcRlbD0n/PoDdCzeV1aeDupHUeIO5ICx9z4dYN67aAwV5msKczOmC5+WGk17Ltwnf0Xrqsdp/rsXqB87TAWbOTD0dxcz8pn7T5l7thTPWT0Rpg+KXDMjUZzY2lt1FdQkKNuHlFhns62DGnXAKhFoziX98OFXWBhBcFPqZ1GVMKqPRfIKdBxX31nQprIztPC9EmBY45aDwGXRpB9Tdo3mKmJRb8BbzqWQOy1LJXTVIPilX8Bj4FzfXWziArLLdCxIiIWgEk9/NHI6jdhBqTAMUdaSwgp2t5+9wJp32CGmns50btFXaWh9s4aPoqTcg6O/6Icd5mibhZRKT9Fx3EtM5/6LrYMCKindhwhykUKHHMVOOpG+4bjv6qdRlTCpB5NAPh+/2WuZtTg9g27F4BBD00fBK/71E4jKkinN/DVDmVbivHd/bHSyseGMA/yL9Vc2TgquxsD7JoHhlq4p4qZ6+zvTjsfV/IL9SzfXUObcGYmwYFvlONuU1WNIipn09EEYpOzcbGzYpi0ZRBmRAoccxb8FFjawZUDcH6H2mlEBWk0Gp7uqYzifB1xgcy8QpUTGcGez0GXBw07gm9XtdOICjIYDHyxXRm9Gd3FDwdpyyDMiBQ45szBAwJHKse75qkaRVRO39Ze+Nd1ID23kNWRF9WOU7Vy029sZdB1qrRlMEMRZ5M5fDkNWysLxnTxUzuOEBUiBY656zIFNFo4+zdcOah2GlFBFhaakj1FFv9zjrzCGjRhfP9yyEsDj+bQYoDaaUQlfF40evNEBx/cHaxVTiNExUiBY+7c/OD+ocrxrvmqRhGVMySwAV7ONiSm5/HzgStqx6kahXmw53/KcZd/g4X8qDE3MXFp7Dx9Da2FhgnSlkGYIfmpUxN0fV75emy9sqpKmBUbS21JE84vdpxFXxOacB5eAxnx4FQP2jyudhpRCcVzbx5qUw8fd3uV0whRcVLg1ATeAdA0VFmKW9zMUJiV4Z0a4WRrybmrWWw29yacej3sKtrYr/MzYGmjbh5RYReSs/j9SDwATxVtZyCEuZECp6boOlX5evAbZWmuMCtOtlaMKmrC+fm2sxjMedn/yQ03mmoGjVE7jaiERTvPlTTVbF3fWe04QlSKFDg1hV83aNBBacJZPPdBmJWxXRtjY2nBwUupRJxLVjtO5RgMsPNj5bjjeLCVD0dzk5SeW9JUs3gbAyHMkRQ4NYVGA91fVI6jFkNOLepSXUPUdbLhiaKN1BZuPaNymko6+7eyL5OlHYQ8q3YaUQmL/zlPfqGeIF83Ovu7qx1HiEqTAqcmad4PPO+D/AyIWqR2GlEJk3r4Y2mhYdeZZA5cNMMidedc5WvQGGWfJmFWrmfls2rPBQCm9G4qTTWFWZMCpyaxsIDu05TjPf+DvEx184gKa+hmz5DABgAs3HpW5TQVdHEPXPgHLKygy3NqpxGVsHx3LNn5OlrXc6ZXi7pqxxHinkiBU9Pc9y9w91cuUe1frnYaUQmTezVBo4G/jidyIiFd7Tjlt2OO8rXdcHBpoG4WUWGZeYUs3x0LwLMyeiNqAClwahoLLXR7QTnevQAKctXNIyqsSV1HBgTUA8xoFCf+EJzZDBqLGyv6hFlZtecCaTkF+Nd1oN/93mrHEeKeSYFTE7UZBs4NIDNBWTYuzM6zvZoCsOHwFc5fy1I5TTkUr5y6/xGoIytvzE1ugY7FO5WO9s/0aorWQkZvhPmTAqcmsrRWtscHpQmnrgZ2qa7hWtd35oGWnugN8MU2Ex/FuXoKjv2iHHebpm4WUSlr913iWmYeDVztGNyuvtpxhKgSRi1wUlJSGDFiBM7Ozri6ujJ+/HgyM+888bVXr15oNJpSt6effrrUORcvXmTgwIHY29vj6enJyy+/TGGhfIiX0j4c7D0g9SLE/KB2GlEJz/ZWRnF+OnCZK6k5Kqe5g38+AQzQYiB4tVY7jaigAp2eL7crLV6e7umPlVZ+7xU1g1H/JY8YMYKjR4+yefNmfvvtN3bs2MGkSZPu+riJEycSHx9fcvvwww9LvqfT6Rg4cCD5+fns3r2bFStWsHz5cmbNmmXMt2J+rO0h5BnleMcc0NegLtW1RJCvGyH+dSjQGUr6ApmclPNwZK1y3ONFdbOISvkp+jJxqTnUdbLhsQ4+ascRosoYrcA5fvw4GzduZPHixQQHB9OtWzcWLFjAd999x5Urd+6YbG9vj7e3d8nN2fnGbqh//vknx44dY9WqVbRr147+/fvz9ttvs3DhQvLz8431dsxTx4lg66psm390ndppRCU810cZxfku6hIJaSY4YXznx6AvhCZ9oEGQ2mlEBRXo9HxWtKnkUz38sbXSqpxIiKpjtAInIiICV1dXOnToUHJfaGgoFhYWREZG3vGx33zzDR4eHtx///3MmDGD7OzsUs8bEBCAl5dXyX1hYWGkp6dz9OjRqn8j5szW+cZusts/lFEcMxTiX4dOfu7k6/SmN4pz/QIcWq0c95qubhZRKesOxHEpJQcPR2tGBPuqHUeIKmW0AichIQFPT89S91laWuLu7k5CQsJtH/fkk0+yatUqtm7dyowZM/j6668ZOXJkqee9ubgBSv58u+fNy8sjPT291K3WCH4KbF3g2kk4tl7tNKKCNBoNz4c2A+DbqIskppvQKE7x6I1/b/DppHYaUUGFOn1JS5BJPfyxs5bRG1GzVLjAmT59+i2TgP//7cSJE5UONGnSJMLCwggICGDEiBGsXLmSdevWcfZs5X97nT17Ni4uLiU3H59adJ3Z1gU6F83F2f4R6PXq5hEV1qVJHTr4upFfaEKjOKkXb2xBIKM3Zmn9wStcSM6mjoM1IzvL6I2oeSpc4Lz44oscP378jjd/f3+8vb1JSkoq9djCwkJSUlLw9i7/JlLBwcEAnDmj/Kbh7e1NYmJiqXOK/3y7550xYwZpaWklt0uXLpX79WuE4KfBxgWuHofjP6udRlRQqVGcyIskmcIozs65yuhN457QqLPaaUQFFer0fPb3aQAm9vDH3tpS5URCVL0KFzh169alZcuWd7xZW1sTEhJCamoq+/fvL3ns33//jV6vLylayuPgwYMA1Kun7OwaEhLCkSNHShVPmzdvxtnZmdaty16iamNjg7Ozc6lbrWLnCp0nK8fbP5RRHDPUrakH7Ru5kleo58sd59QNk3oJDqxSjmX0xiz9cugKscnZuDtYM0pGb0QNZbQ5OK1ataJfv35MnDiRqKgodu3axZQpUxg2bBj16ysbScXFxdGyZUuioqIAOHv2LG+//Tb79+8nNjaWX375hfDwcHr06EGbNm0A6Nu3L61bt2bUqFEcOnSITZs2MXPmTJ599llsbGyM9XbMX+enwcYZko7BiV/VTiMqSBnFaQ7AN5EXSMpQcRTnn09AXwB+3cG3i3o5RKUoozfKiPiE7o1xsJHRG1EzGXUfnG+++YaWLVvSp08fBgwYQLdu3fjqq69Kvl9QUMDJkydLVklZW1vz119/0bdvX1q2bMmLL77II488wq+/3vhA1mq1/Pbbb2i1WkJCQhg5ciTh4eG89dZbxnwr5s/OTblUBTKKY6Z6NPOgnY8ruQV6vtqu0ihO2mWIXqkcy+iNWfr18BXOXcvC1d6K8BA/teMIYTQag8FgUDtEdUtPT8fFxYW0tLTadbkqOwXmtYH8DHh8JbQerHYiUUFbTyYxdtlebK0s2PFKbzydbKs3wG/TYN8S8O0GYzdU72uLe1ao09P3kx2cu5bFy2EtSnbLFsJcVOTzW/bkrk3s3W/sbrx1tuyLY4Z6Na9LYCNlFOd/1d1p/HrsjdGb3jOq97VFlVh3II5z17Jws7didBc/teMIYVRS4NQ2nZ9Rdje+ehxiflQ7jaggjUbDS31bAMqKqrjq7FG1/UNl7o1/b/DrVn2vK6pEfqGe+VuUlVOTezXBUebeiBpOCpzaxs4VuhZ1Gt82G3QFqsYRFdelSR06+yu7Gxcv9TW6a6dv7Fr8wOvV85qiSq3Zd4nL15WeU6M6+6kdRwijkwKnNur0lNJpPOUcHPxW7TSigjQaDS8WjeKs3XeZ2GtZxn/RbbPBoIcWA6Ch9JwyN7kFupJieErvprJrsagVpMCpjWwcofs05Xj7h1CYp24eUWEd/dzp2bwuOr2BT7cYeRQnIebG5cze/zHuawmjWLXnAonpeTRwtWNYp1q0k7uo1aTAqa06jAen+pB+GfavUDuNqITiuTjrDsZxOjHDeC+09T3l633/Au8A472OMIqsvEI+36ZMSP93n6bYWMrojagdpMCpraxsocdLyvHOOZCffefzhckJaOhC2H1eGAzwyV+njPMicfvh5AbQWEAvGb0xR8t3x5KclY9fHXuGtm+odhwhqo0UOLVZ4ChwbQSZiRD11d3PFybnhQebo9HA70cSiIlLq/oX+Ptd5WubYVC3edU/vzCqtJwCvixq0Do1tDlWWvmRL2oP+ddem1laQ8+i3Wj/+QRyUlWNIyqupbczg9oorU8+2nSyap/8/A44uwUsLKHnK1X73KJafLn9LOm5hTTzdGRQ2/pqxxGiWkmBU9u1HQZ1W0FuKuyap3YaUQkv9m2OpYWG7aeusvvMtap5UoMBNr+hHHcYB+6Nq+Z5RbVJSMtl6a7zALzSryVaC43KiYSoXlLg1HYWWggt+iDb8zmkxambR1SYbx0HRgQ3AuD9jSfQ66ug+8qx9XAlGqwdoYeM3pijeX+dIrdATwdfN0JbeaodR4hqJwWOgOb9oFEIFOYq+50Is/Ncn2Y4WGs5fDmN32Pi7+3JdAWwpah5bZfnwLHuvQcU1ep0YgZr910CYMaAlmg0Mnojah8pcARoNPBg0QfawW8g6YS6eUSFeTjaMKlHE0CZi1Ogu4du8fuXK5tAOtSFkClVE1BUqw83nURvgL6tvQjydVc7jhCqkAJHKHw6QcuHlN1qt7ypdhpRCRO6N8bD0YYLydmsjrpYuSfJy4TtHyjHPV9VNoUUZmVfbAqbjyVioYFX+rVQO44QqpECR9wQ+l/QaOHk73AhQu00ooIcbCx5PrQZAJ9uOU1mXmHFnyTiM8i6Cu7+EDSmagMKozMYDMz+QxmBfaKjD009nVROJIR6pMARN3g0g/ajlOO/3lBW0gizMqyjD3517LmWmc/inecq9uDMJNi9QDnuMwu0VlUfUBjV5mOJ7L9wHVsrC57vI/sWidpNChxRWs/pYGkHlyLh+C9qpxEVZKW14OWwlgB8teMcSem55X/wtvchPxPqt4fWQ4wTUBhNgU7P+xuV0ZtxXRvj7WKrciIh1CUFjijNuZ6ycgZg8yxpxGmGBgR4E9jIlex8Xfk3/0s8BvuXKcd931YmnguzsmrPBc5dzcLdwZqnezVRO44QqpMCR9yq6/PgVA+ux0LkF2qnERWk0Wh4/aHWAPwQfZkjl+/SwsFggE3/USaYt3oY/LpVQ0pRlVKz85n3l9JV/sW+zXG2lcuLQliqHUCYIBtHZQ7G+smw/SNoOxwcZaMwc9K+kRtD2tVn/cErvP3bMdY81fn2e6Gc/hPObQWt9Y3tAoRZmffXadJyCmjp7cQTHXxKfU+n01FQUKBSMiEqxsrKCq22ajreS4EjytZmGER+CfEHYeu7MGi+2olEBb3SryUbjyYQFZvCHzEJDAiod+tJugJl9Aag82RpyWCGziRl8PWeCwC8/lBrLIsaahoMBhISEkhNTVUxnRAV5+rqire39z1vUCkFjiibhQX0ex+W9YPoldBxAngHqJ1KVEB9Vzue6tGE+VtOM/uP4zzQ0hNbq//3m9HexZB8RtnUr/tL6gQV9+TdDcfR6Q2EtvKia1OPkvuLixtPT0/s7e1lN2Nh8gwGA9nZ2SQlJQFQr14Zv5RVgBQ44vZ8Q+C+f8HRdcpv+eG/yORTM/NUT3++23uRSyk5LNsVy+SbJ59mp9xozfHATLB1ViekqLTtp66y9eRVLC00/GdAy5L7dTpdSXFTp04dFRMKUTF2dnYAJCUl4enpeU+Xq2SSsbiz0DdBawPnd8DJP9ROIyrI3tqSV/spH3wLt54hKeOmZePb3ofcNPC6HwJHqZRQVFahTs87vx0DYHQXP/zr3th1unjOjb29vSrZhLgXxf9u73XumBQ44s7cfCHkWeV40wwoqMC+KsIkDGnXgLYNXcjMK+TDjUXLxhOPKpenAMLeU7rKC7Py9Z4LnE7KxM3ein8/0KzMc+SylDBHVfXvVgoccXfdp4FTfWXZ+K55aqcRFWRhoeGNh+8D4If9l9l3Phk2vAQGHbQaBP49VU4oKiopPZe5f54C4KWwFrjYy7JwIf4/KXDE3dk4Qdi7yvHOuUqnaWFW2jdyY1hHZfnw1u8XwMXdYGUPYbNVTiYqY/YfJ8jIK6RtQxeGdWykdpxqMWbMGIYMGaJ2jCqVnJyMp6cnsbGxAGzbtg2NRlOhlW+9evVi6tSpdzync+fO/Pjjj5UPaqakwBHlc9+/wL8X6PLgj1elT5UZeqVfS3zs8hmTtUS5o8fL4Opz5wcJk7PnXDLrDsSh0cDbQ+5Ha1E7LkPNnz+f5cuXqx2jSr377rsMHjwYPz8/o77OzJkzmT59Onq93qivY2qkwBHlo9HAgDlgYaVsDHfyd7UTiQpyd7BmcaNN1NWkc87QgKT7J6gdSVRQgU7PrJ9jAHiyUyPaNHRVN1A1cnFxwdXVVe0YVSY7O5slS5Ywfvx4o79W//79ycjI4I8/atdCESlwRPl5NLvRp+qP6ZCfrW4eUTFXDtL84hoAZhaM5r1NZ1UOJCpq+a5YTiVm4u5gzcthLdSOU+V++OEHAgICsLOzo06dOoSGhpKVlQXceokqIyODESNG4ODgQL169fjkk09uuVzj5+fHO++8Q3h4OI6Ojvj6+vLLL79w9epVBg8ejKOjI23atGHfvn0lj0lOTmb48OE0aNAAe3t7AgICWL169R1zjxs3jjZt2pCXp/Tuy8/PJzAwkPDw8Ns+5vfff8fGxobOnTvf9pzyZiksLGTKlCm4uLjg4eHB66+/juGmUXatVsuAAQP47rvv7vg+ahopcETF9HgJXHwg7SLsnKN2GlFeej1seBGNQU+q/yAiDPez/uAVIs4mq51MlFNCWi7z/lImFk/v1xJXe+tyP9ZgMJCdX6jKzVDOy9nx8fEMHz6ccePGcfz4cbZt28bQoUNv+/hp06axa9cufvnlFzZv3szOnTuJjo6+5bxPPvmErl27cuDAAQYOHMioUaMIDw9n5MiRREdH06RJE8LDw0teJzc3l6CgIDZs2EBMTAyTJk1i1KhRREVF3Tb7p59+SlZWFtOnTwfgtddeIzU1lc8+++y2j9m5cydBQUF3/Dspb5YVK1ZgaWlJVFQU8+fPZ+7cuSxevLjUOZ06dWLnzp13fL2axqgb/aWkpPDcc8/x66+/YmFhwSOPPML8+fNxdHQs8/zY2FgaNy57q/i1a9fy2GOPAWUvIVu9ejXDhg2ruvCibNYOyg7Ha0bArk+Vlg51m6udStzNga8hbh9YO+I65ENGOCezas9FZv0cw4Z/d8faUn7XMXVvbzhGVr6O9o1ceTSoYYUem1Ogo/WsTUZKdmfH3grD3vruHzXx8fEUFhYydOhQfH19AQgIKHv39IyMDFasWMG3335Lnz59AFi2bBn169e/5dwBAwbw1FNPATBr1iw+//xzOnbsWPJ58uqrrxISEkJiYiLe3t40aNCAl166sav3c889x6ZNm1i7di2dOnUqM4+joyOrVq2iZ8+eODk5MW/ePLZu3Yqz8+03z7xw4UKZeW9W3iw+Pj588sknaDQaWrRowZEjR/jkk0+YOHFiyTn169fn0qVL6PV6LCxqx//vRn2XI0aM4OjRo2zevJnffvuNHTt2MGnSpNue7+PjQ3x8fKnbm2++iaOjI/379y917rJly0qdV9Nm15u0lgOhWV/QF8Cv/1ZGB4TpSo+HP19XjnvNAOf6vNy3JXUcrDmdlMnn2+RSlanbfCyRDYfj0VpoeGvw/VjUwInFbdu2pU+fPgQEBPDYY4+xaNEirl+/Xua5586do6CgoNSHvIuLCy1a3HrZrk2bNiXHXl5eQOnCqfi+4vYAOp2Ot99+m4CAANzd3XF0dGTTpk1cvHjxjvlDQkJ46aWXePvtt3nxxRfp1q3bHc/PycnB1tb2jueUN0vnzqWb6YaEhHD69Gl0Ol3JfXZ2duj1+pLLaLWB0UZwjh8/zsaNG9m7dy8dOnQAYMGCBQwYMIA5c+aUWblqtVq8vb1L3bdu3Toef/zxW0Z9iptxCRVoNDDwY1jYGS5GwL4l0Gni3R8n1PH7S5CXBvXaQfDTALjYW/HGw/fx79UH+GzrafoHeNPcy0ndnKJM6bkFzFx/BIAJ3RtzfwOXCj+HnZWWY2+FVXW0cr92eWi1WjZv3szu3bv5888/WbBgAa+99hqRkZG3HdkvDyurG3sEFRcBZd1XvMLoo48+Yv78+cybN4+AgAAcHByYOnUq+fn5d3wdvV7Prl270Gq1nDlz5q65PDw8blvAFatslrKkpKTg4OBQ0gqhNjDaCE5ERASurq4lxQ1AaGgoFhYWREZGlus59u/fz8GDB8ucZf7ss8/i4eFBp06dWLp0abmv84oq4toIQv+rHP/1X0i9pGYacTvHfoYTv4GFJQz+DLQ3fqcZ1KYeoa08KdAZePXHw+j08v+QKXr/jxMkpufhV8eeF0IrdzlYo9Fgb22pyq0iu9JqNBq6du3Km2++yYEDB7C2tmbdunW3nOfv74+VlRV79+4tuS8tLY1Tp05V6u/nZrt27WLw4MGMHDmStm3b4u/vX67n/eijjzhx4gTbt29n48aNLFu27I7nBwYGcuzYsSrJ8v8/U/fs2UOzZs1K9XGKiYkhMDDwru+jJjFagZOQkICnp2ep+ywtLXF3dychIaFcz7FkyRJatWpFly5dSt3/1ltvsXbtWjZv3swjjzzCM888w4IFC277PHl5eaSnp5e6iSrQcQL4BEN+JmyYJnvjmJqc6/D7y8px16m3dIPXaDS8PeR+HG0sOXAxlRW7Y6s9orizPeeS+TZSuRzx/iNtbu0GX4NERkby3nvvsW/fPi5evMhPP/3E1atXadWq1S3nOjk5MXr0aF5++WW2bt3K0aNHGT9+PBYWFve8zX+zZs1KRpKOHz/OU089RWJi4h0fc+DAAWbNmsXixYvp2rUrc+fO5fnnn+fcudtvihoWFsbRo0fvOIpT3iwXL15k2rRpnDx5ktWrV7NgwQKef/75Uufs3LmTvn373uXd1ywVLnCmT5+ORqO54+3EiRP3HCwnJ4dvv/22zNGb119/na5duxIYGMirr77KK6+8wkcffXTb55o9ezYuLi4lNx8f2dysSlhYwMMLQGut7I1z5Ae1E4mb/TkTMhOhTjNlU78y1HOxY3p/pRnnR5tOcilFlv6bitwCHdN/PAzA8E6N6Oxfs7uCOzs7s2PHDgYMGEDz5s2ZOXMmH3/88S3zL4vNnTuXkJAQHnroIUJDQ+natSutWrW667yWu5k5cybt27cnLCyMXr164e3tfcc5nrm5uYwcOZIxY8YwaNAgACZNmkTv3r0ZNWpUqXkwNwsICKB9+/asXbv2nrOEh4eTk5NDp06dePbZZ3n++edLzXeNi4tj9+7djB07tnx/CTWExlDBaztXr14lOfnOS0v9/f1ZtWoVL774YqnqtLCwEFtbW77//nv+9a9/3fE5vv76a8aPH09cXBx169a947kbNmzgoYceIjc3Fxsbm1u+n5eXV2piVXp6Oj4+PqSlpd1xlrsop+0fwdZ3wL4OPBsFDh5qJxJnt8LXQwANjNsIjW6/14Zeb2DYoj1EnU+hezMPVo7rJE0aTcD7f5zgi+1n8XK2YfO0njjblr/fVG5uLufPn6dx48b3/IFvLrKysmjQoAEff/xxtWyeVxU2bNjAyy+/TExMjFFXNr366qtcv36dr776ymivUZXu9O83PT0dFxeXcn1+V3iScd26de9acIAyizs1NZX9+/eXrPX/+++/0ev1BAcH3/XxS5Ys4eGHHy7Xax08eBA3N7cyixsAGxub235PVIGuz8PRdZB0FP54BR5dqnai2i0vE34tGp7uOOGOxQ0ozTjfHxpAv/k72Xn6Gt/vv8zjHWSUU02HL6eyaKdyeeOdIQEVKm5qiwMHDnDixAk6depEWloab731FgCDBw9WOVn5DRw4kNOnTxMXF2fUKwuenp5MmzbNaM9vqoxWMrZq1Yp+/foxceJEoqKi2LVrF1OmTGHYsGElK6ji4uJo2bLlLZsWnTlzhh07djBhwq1byf/6668sXryYmJgYzpw5w+eff857773Hc889Z6y3Iu7G0hoGLwCNFmJ+lEtVatv0H0i9oGzIGPpGuR7iX9exZALrW78ek0tVKsrJ1/HCmoPo9AYealOPB1t7qR3JZM2ZM4e2bduW7Hi8c+dOPDzMawR56tSpRp828eKLL5Ysh69NjLoPzjfffEPLli3p06cPAwYMoFu3bqWGyAoKCjh58iTZ2aV/mC5dupSGDRuWOSHKysqKhQsXEhISQrt27fjyyy+ZO3cub7xRvh/kwkgaBCm7HIMy4TgtTt08tdWJ3yF6BaCBIZ8rneDLaVIPfzr4upGZV8iLaw/JqiqVvP/Hcc5ezcLTyYa3B9+vdhyTFRgYyP79+8nMzCQlJYXNmzffdmNAUTtVeA5OTVCRa3iiAnQFsKQvXImGxj1h1HplIrKoHplJ8L8QyL6m9Azr+06Fn+Jicjb95+8gK1/H9P4tebpnEyMEFbez/dRVRi9VRrRXjOtEz+Z3v0Rflto4B0fUHFU1B0c+fUTV0VrB0K/A0g7Ob4eoL9VOVHsYDPDLv5XixvM+eOD1Sj1Nozr2vDHoPgA+/vMkx67IlgrV5XpWPi9/fwiA0SG+lS5uhBAKKXBE1fJoBmFFIweb34Cke98yQJRD9Ao49YeyZH/oV2BZ+Un1j3VoSN/WXhToDLyw5iC5BWUvcxVVx2Aw8Nr6IyRl5NGkrgPT+9+694sQomKkwBFVr8N4aPog6PLgpwlQWPFtxUUFJJ+Fjf9Rjh94Hbzvbd6GRqNh9tAAPBytOZmYwZxNJ6sgpLiTdQfi+P1IApYWGuY9EYiddc3d0E+I6iIFjqh6Go3SFsDOHRKOwF8yAdxoCnLhh7FQkAV+3SFkSpU8bR1HGz54RGlSuPif8/x94s47uYrKO3c1k9fXxwAwNbQZAQ0r3mtKCHErKXCEcTh5w5D/Kcd7/qf0RBJVb9N/IP4Q2Lkpq6aqcFJ3n1ZejA7xBeCFNYe4fF2Wjle1nHwdz3wTTVa+juDG7jKpW4gqJAWOMJ4W/aHLv5Xjn6col1JE1Tnyg9LJHWDoInCt+r00/jOwFW0bupCWU8CUbw+QX6iv8teozWb9HMOJhAw8HG1YMDwQS638SL6dMWPG3LFlgjlKTk7G09OT2NhYALZt24ZGoyE1NbXcz9GrVy+mTp16x3M6d+7Mjz/+WPmgZkr+bxLG1WcWNAqBvHT4fjQU5KidqGa4ekpZNQXQ/SVo9qBRXsbGUstnT7bHxc6Kg5dSmf3HcaO8Tm20dt8lvt9/GQsNfDq8HZ7Ospz7TubPn8/y5cvVjlGl3n33XQYPHoyfn59RX2fmzJlMnz4dvb52/YIiBY4wLq2V0rrBvo4yH2fjdLUTmb/8bFgbfmPeTa8ZRn05H3d75j7eFoBlu2L5/Ui8UV+vNjiRkM6sn5V5Ny+ENqdLE/PafVcNLi4uuLq6qh2jymRnZ7NkyZJq6ZvVv39/MjIy+OOPP4z+WqZEChxhfM714ZHFgAb2L4dD36mdyHwZDLDhRbh6HBw84ZEloK1wS7kK69PKq2R+yCs/HOb8tSyjv2ZNlZFbwDOroskt0NOjeV2e7d1U7Ugm44cffiAgIAA7Ozvq1KlT0oIBbr1ElZGRwYgRI3BwcKBevXp88sknt1yu8fPz45133iE8PBxHR0d8fX355ZdfuHr1KoMHD8bR0ZE2bdqwb9++ksckJyczfPhwGjRogL29PQEBAaxevfq2mbOysnB2duaHH0q3qFm/fj0ODg5kZGSU+bjff/8dGxsbOne+fa+48mYpLCxkypQpuLi44OHhweuvv87Ne/hqtVoGDBjAd9/Vrp+9UuCI6tHkAej5qnL86/Nweb+6eczVns/h0LegsVBGxpyqr7/MS32b08nPncy8Qias2EtaTkG1vXZNodMbeP67g5y7lkU9F1vmPdEOC4tq6NxuMEB+ljq3cm6WHx8fz/Dhwxk3bhzHjx9n27ZtDB06lNtttj9t2jR27drFL7/8wubNm9m5cyfR0dG3nPfJJ5/QtWtXDhw4wMCBAxk1ahTh4eGMHDmS6OhomjRpQnh4eMnr5ObmEhQUxIYNG4iJiWHSpEmMGjXqlp6JxRwcHBg2bBjLli0rdf+yZct49NFHcXIqu13Kzp07SxpR3055s6xYsQJLS0uioqKYP38+c+fOZfHixaXO6dSpEzt37rzj69U0xv/VT4hiPV+BKwfg9Cb4bjhM/BtcGqqdynyc+hP+fE05fvAtaNy9Wl/eUmvBZ08GMnjhLs5ezWLKt9EsG9NRJsZWwOzfj/P3iSRsLC34fGQQ7g7W1fPCBdnwXv3qea3/7z9XwNrhrqfFx8dTWFjI0KFD8fVVVu/drrdURkYGK1as4Ntvv6VPnz6AUlAUN3K+2YABA3jqqacAmDVrFp9//jkdO3bkscceA+DVV18lJCSExMREvL29adCgAS+99FLJ45977jk2bdrE2rVr6dSpU5l5JkyYQJcuXYiPj6devXokJSXx+++/89dff932/V64cKHMvDcrbxYfHx8++eQTNBoNLVq04MiRI3zyySdMnDix5Jz69etz6dIl9Ho9FrWkhU7teJfCNFholUtVnq0hMxFWD4O8TLVTmYfEY/DDODDoIXBUle13U1GezrYsCu+AnZWWnaev8dZvx1TJYY6+i7rI4n/OAzDnsba083FVN5CJadu2LX369CEgIIDHHnuMRYsWcf369TLPPXfuHAUFBaU+5F1cXGjRosUt57Zp06bkuLij9s2FU/F9SUlJAOh0Ot5++20CAgJwd3fH0dGRTZs2cfHixdtm79SpE/fddx8rVqwAYNWqVfj6+tKjR4/bPiYnJ+eufcLKm6Vz585oNDdGAkNCQjh9+jQ63Y1dyO3s7NDr9eTl5d3xNWsSGcER1cvWGYZ/B4seUCYdr3sKHv9amnLeSeZV+PYJyM8A324wcK6ymaJK7m/gwrxh7Xh61X5WRlygqacj4SF+quUxB7vPXmPmTZv5DWpbzaMpVvbKSIoarOzLdZpWq2Xz5s3s3r2bP//8kwULFvDaa68RGRlJ48aNK//yVlYlx8VFQFn3Fa8w+uijj5g/fz7z5s0jICAABwcHpk6dSn7+nXdknzBhAgsXLmT69OksW7aMsWPHlio6/j8PD4/bFnDFKpulLCkpKTg4OGBnZ1fhx5or+VQR1c/NF4Z9q/RNOvEbbHlT7USmqyAX1oyAtIvg7g9PfA2W1XRZ4w7C7vPmlbCWALz56zG2n7qqciLTdf5aFpNXRVOoNzCobX2e79Os+kNoNMplIjVuFSjGNRoNXbt25c033+TAgQNYW1uzbt26W87z9/fHysqKvXv3ltyXlpbGqVOn7vmvateuXQwePJiRI0fStm1b/P39y/W8I0eO5MKFC3z66accO3aM0aNH3/H8wMBAjh278whoebNERkaW+vOePXto1qwZWu2Nlh8xMTEEBgbe9X3UJFLgCHU0CobBC5XjXfNg7+I7nl4r6XXKCNelSLBxgeFrwN5d7VQlnu7pzyPtG6LTG3j2m2hi4tLUjmRykjJyGbssirScAtr5uPLRo23u+Ft9bRYZGcl7773Hvn37uHjxIj/99BNXr16lVatbG486OTkxevRoXn75ZbZu3crRo0cZP348FhYW9/z326xZs5KRpOPHj/PUU0+RmHj3ViVubm4MHTqUl19+mb59+9Kw4Z3nF4aFhXH06NE7juKUN8vFixeZNm0aJ0+eZPXq1SxYsIDnn3++1Dk7d+6kb9++d30fNYkUOEI9bR6/sbJqw0twaI26eUyJwaCsNju2Hiys4PEVULe52qlK0Wg0vDf0foIbKyurwpdGcSap7CWxtVFadgHhS6KITc6mgasdX4UHYWslTTRvx9nZmR07djBgwACaN2/OzJkz+fjjj+nfv3+Z58+dO5eQkBAeeughQkND6dq1K61atbrrvJa7mTlzJu3btycsLIxevXrh7e1d7h2Ux48fT35+PuPGjbvruQEBAbRv3561a9fec5bw8HBycnLo1KkTzz77LM8//zyTJk0q+X5cXBy7d+9m7Nix5XofNYXGcLs1eDVYeno6Li4upKWl4ezsrHac2s1ggD9egaivQKNVLsG0HKh2KnUZDPDnTIj4TFkO/thyaD1Y7VS3lZFbwIjFkRy+nIa3sy3fPx2Cj3v55l3UVFl5hYxcEsmBi6nUdbLh+6dC8PO4+0qiqpKbm8v58+dp3LjxPX/gm4usrCwaNGjAxx9/XC2b55Xl66+/5oUXXuDKlStYW9/9UvKGDRt4+eWXiYmJMerKpldffZXr16/z1VdfGe01qtKd/v1W5PNbRnCEujQa6PcBtB0OBh18PwbObVM7lbq2f6gUNwAPf2bSxQ2Ak60VK8Z2opmnIwnpuYxcEklSeq7asVSTW6Bj4sp9HLiYiqu9FavGB1drcVNbHDhwgNWrV3P27Fmio6MZMWIEAIMHV///L9nZ2Zw9e5b333+fp556qlzFDcDAgQOZNGkScXFxRs3n6enJ22+/bdTXMEVS4Aj1WVgoH+QtHwJdPqx+Ei6VvalWjbfnc9j2nnLc7wMIHKFunnJyc7Bm1YRgGrnbcyE5m5FLIrmeVfGVHuauQKdnyrcH2H02GQdrLSvGdqKFd9kbvYl7N2fOHNq2bVuy4/HOnTvx8Kj+thcffvghLVu2xNvbmxkzKtY6ZerUqfj4VH2j3Ju9+OKLJcvhaxO5RCWXqExHYZ6yHPrcVrB2VJaTV/Nmdqr6Zx789YZy3Ps1ZWNEM3MpJZtHv9hNYnoeLbyc+Hp8p1rTRDK3QMez30SzpWgjv+VjOxHSpI46WWrhJSpRc8glKlHzWNrAsG+UBpL5mbDqETjxu9qpjM9ggM1v3Chuur8IPV5WN1Ml+bjb882EYDydbDiZmMGjX0RwMTlb7VhGl5FbwOilUSXFzRejglQrboQQCilwhGmxdoARP0CLgaDLgzUja3ZzTr0OfpuqLJUHpQVDn1mqbuR3r5p6OvHj5C741rHnYtGIzomEdLVjGU1yZh7DF+0h8nwKTjaWrBzXid4tPNWOJUStJwWOMD1WtvD4yhsTj9c9BXu+UDtV1SvMhx/HKx3WNRYw6FPo+vxdH2YOfNzt+f6pEFp6O5GUkccTX+4h+uKdd201R1dSc3jsywhi4tKp42DN6kmdCfaXkRshTIEUOMI0aS1h8P8geLLy542vwh+vgq6GdLDOTIKvh8DRdco+N48ug6A773xqbjydbVkzKYT2jVxJyyngyUV7+PmgcVeLVKf9F64zZOEuzl3Nor6Lsjz+/gYuascSQhSRAkeYLgsL6Dcbes9U/hz5BawcrBQH5uzSXviyB1zYBdZO8OQauG+I2qmMwsXeilUTgunVoi65BXqe/+4gb/16jAKdXu1olWYwGFi15wLDvoogKSOPZp6O/DC5C/51HdWOJoS4iRQ4wrRpNNDzZXjiG6UYuLALvuwJl/epnaxy9i2D5QMgIx48WsCkrdC0j9qpjMre2pIlozsypXdTAJbuOs/IxZFcyzS/rsa5BTpe/fEwM9fHUKAzMCDAm3XPdqW+a+1pYCiEuZACR5iHVg/BxL/BozlkXIFl/SFqEejNZCQgLwN+nqJMKNblQ6tBMHELeKjQeFEFWgsNL4W14IuRQTjaWBJ5PoVBC/5hb2yK2tHKLfZaFk98GcHafZex0MD0/i1Z+GR7HG0s1Y5WK4wZM6bcLRPMRXJyMp6ensTGxt713K+++gofHx8sLCyYN29emeecOHGCzp07Y2trS7t27ao0a1UZNmwYH3/8cbW8luyDI/vgmJe8DFg/GY7/qvzZrzs8/KnSadtUndmi9JVKuwRolFVS3V4w65VS9+JMUiaTvt7HuatZaDQQ3tmXV/q1xMFECwWd3sDSf87z8eaT5BbocbW3YsHwQLo3q6t2tNuqifvgpKWlYTAYcHV1VTtKlZk2bRoZGRksWrTojuelp6fj4eHB3LlzeeSRR3BxccHe/tZ2KE888QTXrl1j6dKlODo6UqeO6U14j4mJoUePHpw/fx4Xl7LnrMk+OKJ2snGCx79Wdvm1sofYnfC/LrD7M2XJtSnJuQ7rn4VVQ5XixrURhP8M3afV2uIGoKmnIz8/25XHOzTEYIAVERcIm7eDnaevqh3tFqcSMxj6+W7e/f04uQV6ujatw2/PdTPp4qamcnFxqVHFTXZ2NkuWLLlj3yyDwUBhYSEXL16koKCAgQMHUq9evTKLG4CzZ8/SrVs3fH19b1vcFBSou1Dj/vvvp0mTJqxatcroryUFjjA/Gg10fhom74bGPaAwB/58DZb0hQsRaqdTCq2Dq2FhMBxcBWgg+GmYHAH+PdVOZxKcbK348NG2fD2+Ew1c7bh8PYdRS6J4ce0hLl9Xf2PAtJwC5mw6ycBPd3LoUipOtpZ88EgAq8YH09CtdjcSNaYffviBgIAA7OzsqFOnTkkLBrj1ElVGRgYjRozAwcGBevXq8cknn9CrVy+mTp1aco6fnx/vvPMO4eHhODo64uvryy+//MLVq1cZPHgwjo6OtGnThn37bszpS05OZvjw4TRo0AB7e3sCAgJYvXr1HXOPGzeONm3akJenzCvLz88nMDCQ8PDw2z7m999/x8bGhs6dO5fct23bNjQaDX/88QdBQUHY2NiwatUqAgICAPD390ej0ZR5SUuj0bB//37eeustNBoN//3vf4mNjUWj0bBmzRp69uyJra0t33zzTbneY69evXjuueeYOnUqbm5ueHl5sWjRIrKyshg7dixOTk40bdqUP/74o9TjYmJi6N+/P46Ojnh5eTFq1CiuXbtW6pxBgwbx3XfG399MChxhvtwbQ/gvyv4xNs4Qtw+W9YOv/wWX91d/Hr0ejvygFDbrn4bMRKjTDMZthP4fgI2ssvn/ujery58v9GBMFz80Gvgx+jK952zj9fUxJKRVf8POzLxCFmw5TfcP/uazrWco0BkIbeXJ5hd68kTHRmjMdOTNYDCQXZCtyq28syDi4+MZPnw448aN4/jx42zbto2hQ4fe9vHTpk1j165d/PLLL2zevJmdO3cSHR19y3mffPIJXbt25cCBAwwcOJBRo0YRHh7OyJEjiY6OpkmTJoSHh5e8Tm5uLkFBQWzYsIGYmBgmTZrEqFGjiIq6fX+8Tz/9lKysLKZPnw7Aa6+9RmpqKp999tltH7Nz506CgoLK/N706dN5//33OX78OA8++CB//fUXAFFRUcTHx5fZuyo+Pp777ruPF198kfj4eF566aVSz/f8889z/PhxwsLCyv0eV6xYgYeHB1FRUTz33HNMnjyZxx57jC5duhAdHU3fvn0ZNWoU2dnKLyWpqak88MADBAYGsm/fPjZu3EhiYiKPP/54qeft1KkTUVFRJQWhsRhtDs67777Lhg0bOHjwINbW1qSmpt71MQaDgTfeeINFixaRmppK165d+fzzz2nW7MZEzJSUFJ577jl+/fVXLCwseOSRR5g/fz6OjuX/8JA5ODVQ+hXY9j4c/Ab0hcp9zfspc118go17SagwD078Bts/gqvHlfvs3JRN+4InKxsXiruKvnidOZtOsvtsMgDWlhaMCG7EuK6N8XE37qhJSlY+a/Ze4qsdZ7merQzhN/dyZNqDzQm7z9vsCpv/P4chuyCb4G+DVckS+WQk9lZ3/+8XHR1NUFAQsbGx+Pr63vL9MWPGkJqayvr168nIyKBOnTp8++23PProo4AyR6d+/fpMnDixZBKun58f3bt35+uvvwYgISGBevXq8frrr/PWW28BsGfPHkJCQoiPj8fb27vMbA899BAtW7Zkzpw5t80fERFBz549mT59OrNnz2br1q1069bttucPGTKEOnXqsGTJkpL7tm3bRu/evVm/fn2prugHDx4kMDCQ8+fP4+fnd9vnbNeuHUOGDOG///0vALGxsTRu3Jh58+bx/PN33kT0/7/HXr16odPp2LlzJwA6nQ4XFxeGDh3KypUrgRt/nxEREXTu3Jl33nmHnTt3smnTppLnvXz5Mj4+Ppw8eZLmzZsDcPjwYdq2bXvb/9ZVNQfHaLP68vPzeeyxxwgJCSn1H/BOPvzwQz799FNWrFhB48aNef311wkLC+PYsWMlb3LEiBHEx8ezefNmCgoKGDt2LJMmTeLbb7811lsR5sC5vjLZuNsLsOMjOLQaTm1Ubu7+0GYYtH0C3Pyq5vUMBri8V2kjEfMj5KYq99u4QJcpyiUpWymeK6J9Ize+ndiZiLPJzN18kr2x11m2K5Zlu2Lp5OfO0PYNGNCmHs62VlXyenmFOraeSOLH6Di2nUyiQKf8rufv4cDzoc14qE19tBbmVdiYs7Zt29KnTx8CAgIICwujb9++PProo7i5ud1y7rlz5ygoKKBTp04l97m4uNCiRYtbzm3Tpk3JcXFH7eJLPjffl5SUhLe3Nzqdjvfee4+1a9cSFxdHfn4+eXl5t533UiwkJISXXnqJt99+m1dfffWOxQ1ATk7ObSeAd+jQ4Y6Praj//3zlfY83/91ptVrq1Klz2787gEOHDrF169YyBxzOnj1bUuDY2SnbKhSP/BiL0QqcN998E4Dly5eX63yDwcC8efOYOXNmSeW6cuVKvLy8WL9+PcOGDeP48eNs3LiRvXv3lvwHW7BgAQMGDGDOnDnUr1/fKO9FmBH3xjDkf9BtGvwzF46uh5RzsO095eYTrKy8atgRGnYAB4/yPa/BANfPK/vvXN6rrIxKOXvj+071oX04dJ4Mdq7GeGe1RkiTOqz1D+GfM9f4cvs5dp29RlRsClGxKbzxy1F6NK9LB183Ahu5EdDABTtrbbmet0Cn52RCBgcuXif6Yip/n0giLefGhMv7GzgzpktjhrSrj6W2Zl29t7O0I/LJSNVeuzy0Wi2bN29m9+7d/PnnnyxYsIDXXnuNyMhIGjduXOnXt7K6URAXj8SVdZ++aMuJjz76iPnz5zNv3jwCAgJwcHBg6tSp5Ofn3/F19Ho9u3btQqvVcubMmbvm8vDw4Pr1stuXODg43PXxFfH/n6+87/HmvydQ/q7u9HeXmZnJoEGD+OCDD27JUK9evZLjlBRle4i6dY07Wd9k1mWeP3+ehIQEQkNDS+5zcXEhODiYiIgIhg0bRkREBK6urqWq0dDQUCwsLIiMjORf//qXGtGFKfJoqhQ6/T9ULh8dWg3ntsOlSOVWzN0f3JuAvTvYuStfrewhNw1yUiA7BbKTIfEoZJeeKIeVPbR6GNoOUyY7W5Tvg1bcnUajoXuzunRvVpf4tBx+PniFH/df5nRSJpuPJbL5WCIAlhYaWtZzwtvZDjd7K9wcrHG1t8LSQsP17AJSs/O5nlXA1cw8jl5JI7eg9L5J3s62DAlswND2DWju5aTGW60WGo2mXJeJ1KbRaOjatStdu3Zl1qxZ+Pr6sm7dOqZNm1bqPH9/f6ysrNi7dy+NGjUClEtUp06dokePHveUYdeuXQwePJiRI0cCyof3qVOnaN269R0f99FHH3HixAm2b99OWFgYy5YtY+zYsbc9PzAwsFpWEpWlsu/xbtq3b8+PP/6In58flpa3Ly9iYmJo2LAhHh7l/AWzkkymwElISABuDHkV8/LyKvleQkICnp6lu/RaWlri7u5eck5Z8vLySk1mSk+vuZ2Nxf9j46gUIG2HQVocnP7zxijMtZPK6E7KufI9l4UV1GsLPp2UEaBmfWXicDWo52LH0z2b8FQPf45eSWfXmWscuJhK9MXrJGXkEROXTkxc+f6fdrK1JLCRG4E+rgQ3difYv45chjIRkZGRbNmyhb59++Lp6UlkZCRXr16lVatWt5zr5OTE6NGjefnll3F3d8fT05M33ngDCwuLe54v1axZM3744Qd2796Nm5sbc+fOJTEx8Y4f/gcOHGDWrFn88MMPdO3alblz5/L888/Ts2dP/P3L3qMrLCyMGTNmcP369TIvwxlTZd5jeTz77LMsWrSI4cOH88orr+Du7s6ZM2f47rvvWLx4MVqt8kvgzp076du3b1W8lTuqUIEzffr0Moeebnb8+HFatmx5T6Gq2uzZs0sumYlazKUBdBir3EDZpyYuWmmbkJ1yY8QmP0u5zFQ8omPnpoz0eLeRCcMq0mg03N/ApaShpcFg4EpaLkcup5GclUdq8YhNdgE6vQFXeyvc7K1xs7fC1d6aVvWc8PdwxEIKGpPk7OzMjh07mDdvHunp6fj6+vLxxx/Tv3//Ms+fO3cuTz/9NA899BDOzs688sorXLp06Z43Npw5cybnzp0jLCwMe3t7Jk2axJAhQ0hLSyvz/NzcXEaOHMmYMWMYNGgQAJMmTWLDhg2MGjWKHTt2lHyw3ywgIID27duzdu1annrqqXvKXFEVfY/lVb9+fXbt2sWrr75K3759ycvLw9fXl379+mFhoVz2zc3NZf369WzcuLEq3sodVWgV1dWrV0lOTr7jOf7+/lhbW5f8efny5UydOvWuq6jOnTtHkyZNOHDgQKktpnv27Em7du2YP38+S5cu5cUXXyx13bKwsBBbW1u+//77216i+r/27j4oquqNA/h3edkFA1FD3gxMBN8V34JRMTHfSgfUZtQ0CS0hFZ0RRs0UxRETR8mxGMGyTJtxonJEScgslMyXdERWSJEiMExAs0IQTF72/P5ouL9WQdl19657+X5mdsZ7PJf73MfFfebsOee2NILj7e3NVVREpEhK3Mn4UWpra9GtWze8++67D90870mSmZmJFStW4KeffpIKAKVLTU1Feno6jh492mofi6yi6tq1q9kmBfXo0QMeHh7Izs6WCpzq6mqcPXsWixYtAvDvLPWqqirk5uZK+wccO3YMOp0OQUGtL4HUaDTQaDRmiZuIiOSXl5eHK1euIDAwELdv35aWff93efWTbsqUKfjll19w/fr1Fve2USJ7e3skJyfLci2zzcEpKyvDX3/9hbKyMjQ1NUGr1QIA/Pz8pCVkffr0QWJiIqZPnw6VSoVly5Zh48aN8Pf3l5aJe3l5SbtX9u3bFy+++CIiIyOxc+dONDQ0YMmSJXjllVe4goqIqJ1JSkpCUVER1Go1hg0bhh9++MHsE1dN7b87L7cHCxYskO1aZitw1q1bh71790rHQ4YMAQAcP34cISEhAICioiK97/xWrlyJ2tpaREVFoaqqCsHBwThy5IjeENW+ffuwZMkSjBs3Ttro7/333zfXbRAR0RNoyJAhyM21wI7lZDX4NHHOwSEihWmPc3BIOfg0cSIiIqJWsMAhIlKo5h1miayJqd63T8xGf0REZBpqtRo2NjYoLy9H165doVarre6BodT+CCFQX1+PP/74AzY2NnpbzhiDBQ4RkcLY2NigR48eqKioQHl5uaXDITJIhw4d4OPj89h7A7HAISJSILVaDR8fHzQ2NqKpqcnS4RC1ia2tLezs7Ewy4sgCh4hIoZqf/nz/U6GJ2gNOMiYiIiLFYYFDREREisMCh4iIiBSnXc7Bad68ubq62sKREBERUVs1f2635SEM7bLAqampAYB28/RWIiIiJampqYGLi8tD+7TLZ1HpdDqUl5fD2dnZ5JtfVVdXw9vbG9euXeNzrsyIeZYH8ywP5lkezLN8zJVrIQRqamrg5eX1yH1y2uUIjo2NDZ555hmzXqNjx478BZIB8ywP5lkezLM8mGf5mCPXjxq5acZJxkRERKQ4LHCIiIhIcVjgmJhGo0F8fDw0Go2lQ1E05lkezLM8mGd5MM/yeRJy3S4nGRMREZGycQSHiIiIFIcFDhERESkOCxwiIiJSHBY4REREpDgscIywY8cOPPvss3BwcEBQUBDOnTv30P5ffvkl+vTpAwcHBwwcOBBZWVkyRWrdDMnzrl27MHr0aHTu3BmdO3fG+PHjH/nvQv8y9P3cLC0tDSqVCtOmTTNvgAphaJ6rqqoQHR0NT09PaDQa9OrVi/93tIGhed6+fTt69+4NR0dHeHt7IyYmBv/8849M0VqnEydOIDQ0FF5eXlCpVDh48OAjz8nJycHQoUOh0Wjg5+eHPXv2mD1OCDJIWlqaUKvVYvfu3eLSpUsiMjJSdOrUSdy4caPF/qdOnRK2trZiy5Yt4vLlyyIuLk7Y29uLgoICmSO3Lobmec6cOWLHjh0iLy9PFBYWinnz5gkXFxfx+++/yxy5dTE0z81KS0tFt27dxOjRo8XUqVPlCdaKGZrne/fuieHDh4vJkyeLkydPitLSUpGTkyO0Wq3MkVsXQ/O8b98+odFoxL59+0Rpaan45ptvhKenp4iJiZE5cuuSlZUl1qxZIw4cOCAAiPT09If2LykpER06dBCxsbHi8uXLIjk5Wdja2oojR46YNU4WOAYKDAwU0dHR0nFTU5Pw8vISiYmJLfafOXOmmDJlil5bUFCQePPNN80ap7UzNM/3a2xsFM7OzmLv3r3mClERjMlzY2OjGDlypPjoo49EREQEC5w2MDTPqampwtfXV9TX18sVoiIYmufo6Gjxwgsv6LXFxsaKUaNGmTVOJWlLgbNy5UrRv39/vbZZs2aJSZMmmTEyIfgVlQHq6+uRm5uL8ePHS202NjYYP348zpw50+I5Z86c0esPAJMmTWq1PxmX5/vV1dWhoaEBXbp0MVeYVs/YPG/YsAFubm5444035AjT6hmT54yMDIwYMQLR0dFwd3fHgAEDsGnTJjQ1NckVttUxJs8jR45Ebm6u9DVWSUkJsrKyMHnyZFlibi8s9TnYLh+2aaxbt26hqakJ7u7ueu3u7u64cuVKi+dUVla22L+ystJscVo7Y/J8v7feegteXl4P/FLR/xmT55MnT+Ljjz+GVquVIUJlMCbPJSUlOHbsGF599VVkZWWhuLgYixcvRkNDA+Lj4+UI2+oYk+c5c+bg1q1bCA4OhhACjY2NWLhwIVavXi1HyO1Ga5+D1dXVuHv3LhwdHc1yXY7gkOJs3rwZaWlpSE9Ph4ODg6XDUYyamhqEh4dj165dcHV1tXQ4iqbT6eDm5oYPP/wQw4YNw6xZs7BmzRrs3LnT0qEpSk5ODjZt2oSUlBRcuHABBw4cQGZmJhISEiwdGpkAR3AM4OrqCltbW9y4cUOv/caNG/Dw8GjxHA8PD4P6k3F5bpaUlITNmzfju+++w6BBg8wZptUzNM+//vorrl69itDQUKlNp9MBAOzs7FBUVISePXuaN2grZMz72dPTE/b29rC1tZXa+vbti8rKStTX10OtVps1ZmtkTJ7Xrl2L8PBwLFiwAAAwcOBA1NbWIioqCmvWrIGNDccATKG1z8GOHTuabfQG4AiOQdRqNYYNG4bs7GypTafTITs7GyNGjGjxnBEjRuj1B4Bvv/221f5kXJ4BYMuWLUhISMCRI0cwfPhwOUK1aobmuU+fPigoKIBWq5VeYWFhGDt2LLRaLby9veUM32oY834eNWoUiouLpQISAH7++Wd4enqyuGmFMXmuq6t7oIhpLioFH9NoMhb7HDTrFGYFSktLExqNRuzZs0dcvnxZREVFiU6dOonKykohhBDh4eFi1apVUv9Tp04JOzs7kZSUJAoLC0V8fDyXibeBoXnevHmzUKvVYv/+/aKiokJ61dTUWOoWrIKheb4fV1G1jaF5LisrE87OzmLJkiWiqKhIHD58WLi5uYmNGzda6hasgqF5jo+PF87OzuKzzz4TJSUl4ujRo6Jnz55i5syZlroFq1BTUyPy8vJEXl6eACC2bdsm8vLyxG+//SaEEGLVqlUiPDxc6t+8THzFihWisLBQ7Nixg8vEn1TJycnCx8dHqNVqERgYKH788Ufp78aMGSMiIiL0+n/xxReiV69eQq1Wi/79+4vMzEyZI7ZOhuS5e/fuAsADr/j4ePkDtzKGvp//iwVO2xma59OnT4ugoCCh0WiEr6+veOedd0RjY6PMUVsfQ/Lc0NAg1q9fL3r27CkcHByEt7e3WLx4sfj777/lD9yKHD9+vMX/b5tzGxERIcaMGfPAOYMHDxZqtVr4+vqKTz75xOxxqoTgOBwREREpC+fgEBERkeKwwCEiIiLFYYFDREREisMCh4iIiBSHBQ4REREpDgscIiIiUhwWOERERKQ4LHCIiIhIcVjgEBERkeKwwCEiWYWEhGDZsmWyXEelUkGlUkGr1ZrkZyYnJ6N79+6ws7PD8uXLW+wzb9486boHDx40yXWJyHAscIjIZJo/2Ft7rV+/HgcOHEBCQoIs8URGRqKiogIDBgwAAJw4cQKhoaHw8vJ6ZAEyf/58xMXFSccXL15EbGwsUlNTce3aNWzYsKHF89577z1UVFSY9D6IyHB2lg6AiJTjvx/sn3/+OdatW4eioiKpzcnJCU5OTrLF06FDB3h4eEjHtbW1CAgIwOuvv46XX3651fOamppw+PBhZGZmSm2HDx9GYGAgJk+e/NBruri4wMXF5fGDJ6LHwhEcIjIZDw8P6eXi4gKVSqXX5uTk9MBXVCEhIVi6dCmWLVuGzp07w93dHbt27UJtbS3mz58PZ2dn+Pn54euvv5bO0el0SExMRI8ePeDo6IiAgADs37//kfG99NJL2LhxI6ZPn/7QfqdPn4a9vT2ee+45AICfnx/i4uJw+vRpqFQqvPbaa8YliIhkwwKHiCxu7969cHV1xblz57B06VIsWrQIM2bMwMiRI3HhwgVMnDgR4eHhqKurAwAkJibi008/xc6dO3Hp0iXExMRg7ty5+P77700ST0ZGBkJDQ6FSqQD8W/D4+vpi69atqKioQEpKikmuQ0TmwwKHiCwuICAAcXFx8Pf3x9tvvw0HBwe4uroiMjIS/v7+WLduHf7880/k5+fj3r172LRpE3bv3o1JkybB19cX8+bNw9y5c/HBBx+YJJ5Dhw4hLCxMOnZycsLVq1cRHBwsjUQR0ZONc3CIyOIGDRok/dnW1hZPP/00Bg4cKLW5u7sDAG7evIni4mLU1dVhwoQJej+jvr4eQ4YMeexYCgsLUV5ejnHjxklt+fn5AKAXExE92VjgEJHF2dvb6x2rVCq9tuavinQ6He7cuQMAyMzMRLdu3fTO02g0jx1LRkYGJkyYAAcHB6lNq9XCz88PTz31lNR26dIlREVFoaqqChMnTkR+fj6ys7Mf+/pEZBoscIjIqvTr1w8ajQZlZWUYM2aMyX/+oUOHEBUVpdem1WoREBAgHd+7dw+zZ89GWloa+vXrh2nTpumNQhGR5bHAISKr4uzsjOXLlyMmJgY6nQ7BwcG4ffs2Tp06hY4dOyIiIqLVc+/cuYPi4mLpuLS0FFqtFl26dIGPjw9u3ryJ8+fPIyMjQ+88rVarNyfn4MGDeP7559GvXz8AQO/evdG7d28T3ykRPQ4WOERkdRISEtC1a1ckJiaipKQEnTp1wtChQ7F69eqHnnf+/HmMHTtWOo6NjQUAREREYM+ePfjqq68QGBgIV1dXqY9Op0NBQQHWrl0rtRUUFOiN6Fy8eBEzZsww1e0RkQmohBDC0kEQEZlaSEgIBg8ejO3bt7f5nLCwMAQHB2PlypUP7bdt2zaUl5cjKSkJWVlZmDp1Kqqrq+Ho6Cj1UalUSE9Px7Rp04y8AyJ6HFwmTkSKlZKSAicnJxQUFLSpf3BwMGbPnv3IfnPnzkVOTg4CAgJw5swZ+Pn5ScXNwoULuYyc6AnAERwiUqTr16/j7t27AAAfHx+o1WqzXOfs2bPYunWrtJPyzZs3UV1dDQDw9PTUW3lFRPLhHBwiUqT7l5CbS35+vt4KKjc3N7i5uclybSJqHUdwiIiISHE4B4eIiIgUhwUOERERKQ4LHCIiIlIcFjhERESkOCxwiIiISHFY4BAREZHisMAhIiIixWGBQ0RERIrDAoeIiIgUhwUOERERKQ4LHCIiIlIcFjhERESkOP8DBfAY4DXsys4AAAAASUVORK5CYII=\n"},"metadata":{}}]},{"cell_type":"markdown","source":["# Implementing quantum gates: evolution after a fast switch\n","Let's try to realize a $\\pi$-gate (X-gate) rotating the qubit state around X-axis by 180 degrees by switching on and off the x field ($\\omega_x$).\n","\n","In the example below, we simulate the simular situation to \"Exercise 24\" of the homework 1 part 2. The Hamiltonian of the system has time-dependent factor $\\omega_x(t)$;\n","$$\\mathcal{H}/\\hbar=-\\frac{\\omega_z}{2}\\hat{\\sigma}_z-\\frac{\\omega_x(t)}{2}\\hat{\\sigma}_x$$\n","where\n","\\begin{equation}\n","\\omega_x(t)=\n","\\left\\{ \\,\n","    \\begin{aligned}\n","    & g \\quad\\bigg(n(\\tau_1+\\tau_2)\\leq t <n(\\tau_1+\\tau_2)+\\tau_1\\bigg) \\\\\n","    & 0 \\quad\\bigg(n(\\tau_1+\\tau_2)+\\tau_1\\leq t <(n+1)(\\tau_1+\\tau_2)\\bigg)\\\\\n","    \\end{aligned}\n","\\right.\n","\\end{equation}\n","and $g=\\omega_z$, $\\tau_1=\\pi/\\sqrt{\\omega_z^2+g^2}$ and $\\tau_2=\\pi/\\omega_z$. (In Exercise 24, $g=\\omega_z/10$)\n","\n","\n","For solving time-dependent Hamiltonian with QuTip, you can refer to [Solving Problems with Time-dependent Hamiltonians](https://qutip.readthedocs.io/en/qutip-5.0.x/guide/dynamics/dynamics-time.html)"],"metadata":{"id":"w_aGwykhFRy_"}},{"cell_type":"code","source":["time_list = np.linspace(0, 1.5, 201) # [1/f_q] time points normalized by qubit freq\n","f_q = 1 # [] normalized qubit frequency\n","omega_q = 2*np.pi*f_q\n","\n","g = omega_q/1\n","tau1 = np.pi/np.sqrt(omega_q**2+g**2)\n","tau2 = np.pi/omega_q\n","\n","# definition of the initial state\n","psi0 = basis(2,0) # ground state in 2 level system\n","\n","# Definition of the pulse shape (omega_x(t))\n","def omega_x(t):\n","    tau = tau1 + tau2\n","    n=int(t//tau)\n","    if t < n*tau+tau1:\n","        return g\n","    else:\n","        return 0\n","\n","# Definition of the time-dependent Hamiltonian\n","H0 = -omega_q / 2 * sigmaz()\n","H1 = -1 / 2 * sigmax()\n","H = [H0, [H1, omega_x]]\n","\n","# solve the Schrodinger equation\n","result = mesolve(H=H, rho0=psi0, tlist=time_list, e_ops=[sigmax(), sigmay(), sigmaz()],options={\"store_states\":True})"],"metadata":{"id":"56eGRvcwNXvb","executionInfo":{"status":"ok","timestamp":1727636932686,"user_tz":-120,"elapsed":15,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}}},"execution_count":36,"outputs":[]},{"cell_type":"code","source":["# plot the pulse sequence shape (omega_x(t))\n","plt.plot(time_list, [omega_x(t) for t in time_list])\n","plt.legend(loc=0)\n","plt.xlabel(r\"Time [1/$f_q$]\")\n","plt.ylabel(r\"$\\omega_x(t)$\")\n","plt.title(\"Pulse sequence\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":532},"id":"P6HRhr1ZPsmC","executionInfo":{"status":"ok","timestamp":1727636933351,"user_tz":-120,"elapsed":678,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"fc9c33d2-0ff6-4f95-8db5-6599bdb72433"},"execution_count":37,"outputs":[{"output_type":"stream","name":"stderr","text":["WARNING:matplotlib.legend:No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"]},{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'Pulse sequence')"]},"metadata":{},"execution_count":37},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# plot the time evolution of bloch vector\n","exp_x = result.expect[0]\n","exp_y = result.expect[1]\n","exp_z = result.expect[2]\n","\n","plt.plot(time_list, exp_x, label=r\"$\\langle\\hat{X}\\rangle$\")\n","plt.plot(time_list, exp_y, label=r\"$\\langle\\hat{Y}\\rangle$\")\n","plt.plot(time_list, exp_z, label=r\"$\\langle\\hat{Z}\\rangle$\")\n","\n","plt.legend(loc=0)\n","plt.xlabel(r\"Time [1/$f_q$]\")\n","plt.ylabel(\"Expectation value\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":472},"id":"ob0O4SMpQWIi","executionInfo":{"status":"ok","timestamp":1727636934294,"user_tz":-120,"elapsed":951,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"91420608-71a2-483e-dcd7-788cbbc83b1d"},"execution_count":38,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0, 0.5, 'Expectation value')"]},"metadata":{},"execution_count":38},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAksAAAG2CAYAAABvWcJYAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACs/klEQVR4nOzdd3hUZfbA8e/MpAfSCGkQCKEk9FBDU0F6EVAUUBRlsayrri5WrGv52ddV0RVBEVQQVEQCKMVQpQSllyQQCIQQ0gjpPTO/P24mIZI2YSZ3Jjmf57lPbmZuOQPJ5MxbzqsxGAwGhBBCCCFEtbRqByCEEEIIYc0kWRJCCCGEqIUkS0IIIYQQtZBkSQghhBCiFpIsCSGEEELUQpIlIYQQQohaSLIkhBBCCFELSZaEEEIIIWphp3YATYFerycpKYmWLVui0WjUDkcIIYQQ9WAwGMjJySEgIACttub2I0mWzCApKYnAwEC1wxBCCCFEA1y4cIG2bdvW+LwkS2bQsmVLQPnHdnNzUzkaIYQQQtRHdnY2gYGBFX/HayLJkhkYu97c3NwkWRJCCCFsTF1DaGSAtxBCCCFELSRZEkIIIYSohSRLQgghhBC1kDFLQgghRBOh1+spLi5WOwyrYW9vj06nu+7rSLIkhBBCNAHFxcXEx8ej1+vVDsWqeHh44Ofnd111ECVZEkIIIWycwWDg0qVL6HQ6AgMDay2w2FwYDAby8/NJTU0FwN/fv8HXkmRJCCGEsHGlpaXk5+cTEBCAi4uL2uFYDWdnZwBSU1Px8fFpcJecpJ5CCCGEjSsrKwPAwcFB5UisjzF5LCkpafA1JFkSQgghmghZn/Ra5vg3salkaefOndxyyy0EBASg0Wj4+eef6zxn+/bt9O3bF0dHRzp16sTSpUuvOebTTz8lKCgIJycnwsPD2b9/v/mDF0IIIYRNsqlkKS8vj969e/Ppp5/W6/j4+HgmTpzIiBEjOHz4ME888QT3338/mzZtqjhm1apVzJs3j1deeYWDBw/Su3dvxo4dWzEgTAghhBDquXLlCq+++iqXLl1SLQaNwWAwqHb366DRaFizZg1Tp06t8Zhnn32WDRs2cPz48YrHZs6cSWZmJhs3bgQgPDycAQMG8MknnwBKjYrAwEAee+wxnnvuuXrFkp2djbu7O1lZWbI2nBBCiEZXWFhIfHw8HTp0wMnJSe1wzGr27NlcvnwZe3v7evUo/VVt/zb1/fttUy1Lptq7dy+jRo2q8tjYsWPZu3cvoNSkOHDgQJVjtFoto0aNqjhGTRFnIvg+9nt+O/8bh1MPU1haqHZI4iop2YXsPXOZnw9dZEVUAhFHkvj9dDpX8qQgnBBCmMOGDRvIyclhw4YNeHh4sHz5clXiaNKlA5KTk/H19a3ymK+vL9nZ2RQUFHDlyhXKysqqPSYmJqbG6xYVFVFUVFTxfXZ2tnkDL/fFsS+Iz4qv+N5ea09P756Maj+KyR0n4+7obpH7ipqdSslh5f4L7DydRlxqbo3HdWztyuhufswYEEgHb9dGjFAIIZqOiRMnMnHiRIBqxxw3liadLFnKW2+9xauvvmrx+wxrM4z2bu25UniFi7kXSS9I52DqQQ6mHuTjgx8zpdMUHu79MK2cW1k8lubuwPkMPvztNLtOp1c8ptVA+1au+Lk54eqoI7eolJTsIuLT8ziTlseZHWdYuOMMN3ZpzbPjQugeIMmtEELYoiadLPn5+ZGSklLlsZSUFNzc3HB2dkan06HT6ao9xs/Pr8brzp8/n3nz5lV8n52dTWBgoHmDB54Z8EzFvsFg4ELOBX6/+Ds/nv6R01dOsyp2FRvObuDvvf/O3V3vRqe9/vVvRFVpOUW89Ws0Px28CCgJ0phufkwJC2BIR2/cXeyvOedKXjF7z17mhz8vsONUGjtPpbHrdBq3923LixO7VXuOEEI0dwsWLGDatGkEBATU6/glS5YwZMgQQkNDLRxZEx+zNHjwYCIjI6s8tmXLFgYPHgwoxbv69etX5Ri9Xk9kZGTFMdVxdHTEzc2tymZpGo2Gdm7tuKvrXay+ZTVfjvmSrl5dyS3J5f0/3+f+zfeTnJds8Tiakx2n0hj74U5+OngRjQZm9A9kx9MjWHhPP8b39K8x6fF0dWBCT3++mjOQ7U+N4JbeARgM8MOBRMZ/tJOos5cb+ZUIIYR1i4uL49lnn8XT0xNQ/haHhobywgsvVDluw4YNODg48NNPPxEVFcXnn3/eKPHZVLKUm5vL4cOHOXz4MKCUBjh8+DAJCQmA0uIze/bsiuP//ve/c/bsWZ555hliYmL43//+x/fff8+//vWvimPmzZvH4sWLWbZsGdHR0Tz88MPk5eUxZ86cRn1tptBoNAz0H8jKSSv59+B/42Lnwp8pf3L7utvZd2mf2uHZPL3ewAebY7nvq/1k5BXT1d+NNf8Yyju39yLQy7RlBNq1cmHBnX1Y/fAQglq5kJRVyJ2L9/HFrrPY6ERUIYQwu7Vr1zJ69OiK5Um0Wi3z58/n008/JSsrC4CDBw8yY8YM3nnnHW677TamTJlCRERE4wRosCHbtm0zANds9957r8FgMBjuvfdew0033XTNOWFhYQYHBwdDcHCw4auvvrrmugsWLDC0a9fO4ODgYBg4cKBh3759JsWVlZVlAAxZWVkNfGXX51zWOcMdEXcYeiztYQj7Osyw7sw6VeJoCopLywxPrDxkaP/sekP7Z9cbnv/pqKGguNQs184pLDHMW3W44tqvrD1uKC3Tm+XaQojmraCgwHDy5ElDQUGB2qE0yA033GD44osvqjxWUlJi6NChg+GNN94wnD9/3uDv72949NFHK54vLCw0uLq6Go4dO1brtWv7t6nv32+brbNkTayhzlJxWTEv/P4CG88p9aOe7v80s7vPruMscbWC4jIeXn6A7bFp2Gk1vD2tF7f3a2vWexgMBhbvOsubvyizLSf18uejmX3QaWWJAiFEw9lynaX09HQCAgK4cOHCNbPTP//8c1588UV8fX3p2LEja9asQaut7BS77bbb6N+/P88//3yN15c6S6KCg86Bd258h9ndlATpvT/fY2XMSpWjsh1FpWU8+M2fbI9Nw8ley+J7+5s9UQKlC/XBGzuy4M4+2Os0rD96iad/PIJeL59ZhBDmYzAYyC8uVWUztQ1m/fr19O/f/5pECWDWrFnk5uai0Wj47rvvqiRKQKN1xTXp2XDNjVaj5ekBT+Ooc2TxscX8X9T/4WTnxNROU9UOzaqVlul5/LvD7DqdjrO9jq/nDmRAkJdF73lL7wDsdRoeWXGInw5exNlexxtTe8gimEIIsygoKaPby5vqPtACTr42FheH+qcXv/zyCxMmTKj2uUcffRRQWp/+migBTJgwgTlz5pCeno63t3fDAq4HaVlqgh7r8xh3d70bgH/v+Td7Lu5ROSLrZTAYeGntCTaeSMZBp2Xx7P4WT5SMxvXw54PpvdFoYHlUAl/siq/7JCGEaGKCgoKIj7/2/e+ll15iw4YN7Nu3j9LSUr788strjomPj8fDwwMPDw+LxigtS02QRqPhmQHPkF2cTcSZCJ7c8STLJywn2CNY7dCszrI95/hufwIaDXx8Zx+GdbbcJ5PqTAlrw+XcYl5bf5I3f42mg7cro7pd2xQthBCmcLbXcfK1sard2xRTpkxh2rRp6PX6itajxYsX85///IetW7fSu3dvnnjiCd59910efPBB7O0ry7ZEREQwYcIE7Owsm85Iy1ITpdFoeGXwK/T16UtuSS6PRD5CZmGm2mFZld9Pp/P6hmgA5o8PZVyPmguRWtKcoUHcFd4OgwEeX3mIuNQcVeIQQjQdGo0GFwc7VTZThxMMHjwYg8FAVFQUoHTLPfrooyxfvpxBgwYBSndcVlYW33zzTZVzIyIimDJlinn+0WohyVIT5qBz4MMRH9KmRRsScxN5cfeLUtunXFJmAY9+d5AyvYFpfdvywA3qtbppNBpendydQcFe5BWX8cjyQxSWlKkWjxBCNCatVsukSZNYu3YtBw4cYPr06bz77rvceuutFce4u7vzz3/+k7fffpuyMuX9MT4+ntjYWMaNG2f5GC1+B6EqTydP/jv8vzhoHdiRuIOvT36tdkiqKy3T88/vDpGZX0Kvtu68eZv6A6vtdVo+vrMP3i0ciE3J4dV1J1WNRwghGpNxVlu/fv3Izc3l8ccfv+aY1157jVOnTqHTKd18ERERDB8+nJYtW1o8PkmWmoGurbry7MBnAfjwwIccSTuickTq+vC30/x5/gotHe1YcGcfHO2sY009n5ZOfDijDxoNfLc/gV+OXVI7JCGEaBSjR4/m/PnzxMXF1fuciIgIJk+ebMGoKkmy1Ezc0eUOxgWNo9RQyvO7nie/JF/tkFQRdfYyn25XfhnfmtaT9q1cVY6oqmGdvfnH8I4AvPjzcdJzi1SOSAghLM/Z2Zm8vDw6depU73MiIyN55JFHLBhVJUmWmgmNRsNLg1/C18WXhJwEPjz4odohNbr84lKe/vEoBgNM79+WSb3qt7J1Y3t8ZBe6+ruRkVfMSz8fl3FmQgihMkmWmhE3BzdeG/IaAN/FfNfsFt1959cYEjLyCXB34qVJ3dQOp0YOdlrev6MXdloNvx5PZv1R6Y4TQgg1SbLUzAxpM4QZITMAeGX3K82mO27f2css23segHdv701LJ/s6zlBX9wB3/jFCaY5+dd0JsgpKVI5ICCGaL0mWmqF5/ebh7+pPUl4SC48uVDsciysqLeP5NccAuHNgu0YvPNlQj47oRHBrV9Jzi/lgc6za4QghRLMlyVIz5GLvwgvhLwDw9Ymvic1o2n+IF+04y9m0PLxbOPLc+FC1w6k3Bzstr0/pAcA3+85z/GKWyhEJIUTzJMlSM3VT4E2Mbj+aMkMZr+19Db1Br3ZIFnEuPY8F25TZby9N6oq7s3V3v/3V0E7eTO4dgN6gzI7T62WwtxBCNDZJlpqxZwc8i6u9K0fTjxJxJkLtcCzi1XUnKC7Vc0NnJemwRS9O7Iqrg47DFzKJOJKkdjhCCNHsSLLUjPm6+vJQr4cApVhlbnGuyhGZ17bYVLbFpmGvU5YTUbtKd0P5uDlVDPZ+b1OsLIUihBCNTJKlZu7urnfT3q09lwsvs+joIrXDMZuSMj2vr1eWDJkztAPBrVuoHNH1mTusAwHuTlzMLGDJ7ni1wxFCiGZFkqVmzl5nzzMDngHgm+hvSMhOUDki8/h673nOpuXRytWBR2+uf0VYa+Vkr+PpcSEA/G/bGansLYRoNq5cucKrr77KpUvq1ZyTZElwQ5sbGNpmKKX6Uj46+JHa4Vy3rPwSPvrtFABPjQ3BzcprKtXXlN5t6NnGndyiUhZuP6N2OEII0Sgef/xx9u/fz8MPP6xaDJIsCTQaDfP6zUODhs3nN3M07ajaIV2X/22PI7uwlFC/lkzvH6h2OGaj1Wp4aqzSuvT1vvMkZxWqHJEQQljWhg0byMnJYcOGDXh4eLB8+XJV4pBkSQDQxbMLkzsqqzd/cOADm12PLCmzgK/2nAPg2XGh6LS2Oai7Jjd29mZgkBfFpXoWbD2tdjhCCGFREydOZM2aNQAsXbqUWbNmqRKHJEuiwqN9HsVR58iBlAPsTNypdjgN8t8tpygu1RPewYvhIa3VDsfsNBoNT47pAsCqPy5wIaN5LFcjhBBqkmRJVPBz9WNWVyVr/+TwJzbXuhSXmsPqg4kAPDc+1GZLBdQlPLgVN3T2plRvkNYlIUSTsWDBApKS6ldLbsmSJcTExFg4okqSLIkq5nSfg6u9KzEZMWy9sFXtcEzycWQcegOM6eZLn3aeaodjUU+MUlqXfjp4kYuZBSpHI4QQ1ycuLo5nn30WT09PSktLCQ4O5p///Oc1x/3973+nc+fO7N69m88//7zR4pNkSVTh4eTBXaF3AbDwyEKbaV2KS81h3VHlE8njozqrHI3l9WvvyZCOrSjVG1i0Q2bGCSFs29q1axk9ejTOzs7Y2dkxf/58lixZQkZGRsUxb731FqtXr+bXX39l2rRpREQ03soTkiyJa8zuNruydSnBNlqXFmyNw1DeqtQ9wF3tcBrFo+VVvb/74wKpOTIzTghhu9auXcvkyZMrvr/33nvx8vLik08+AWD58uW88cYbRERE0KlTJ0aOHElKSgrHjx9vlPgkWRLXuLp16bMjn1n9IrtxqbkVa6b9c2TTb1UyGtyxFX3beVBcqmfxzrNqhyOEEA2Snp7Ovn37mDRpUsVjDg4OPPPMM3zyySf88ssv3H///XzzzTcMHjwYAEdHR8aMGdNorUuSLIlq3dv9XlztXYm9Emv1rUsLtp7GYIDR3Xzp0aZ5tCqBMjPOWJ18RVQCWQUlKkckhLAaBgMU56mzmTh8Y/369fTv3x9fX98qj99///3odDpuueUW3nrrLW677bYqz0+ZMqXRkiW7RrmLsDnuju7M6jqLRUcX8dmRz7i53c1oNdaXW8el5rKuvFXp8WbUqmQ0IsSHLr4tOJWSy3f7E/j7TR3VDkkIYQ1K8uHNAHXu/XwSOLjW+/BffvmFCRMmXPO4k5MTI0aM4MKFCzzxxBPXPD9hwgTmzJlDeno63t7e1xNxnazvr5+wGrO7zaaFfQtOXTlFZEKk2uFU65Otp9EbYFTX5tWqZKTRaHjghmAAvtodT3GpdXeZCiHEXwUFBREfX/0C4UePHiU8PLza5+Lj4/Hw8MDDw8OC0SlsrmXp008/5b333iM5OZnevXuzYMECBg4cWO2xw4cPZ8eOHdc8PmHCBDZs2ADAfffdx7Jly6o8P3bsWDZu3Gj+4G2MsXXp86Of89mRzxjZbqRVtS6dSascq/REM5gBV5PJYQG8tymWlOwiIo4kcXu/tmqHJIRQm72L0sKj1r1NMGXKFKZNm4Zer0errfwbk5+fT0xMDC+88EK150VERDBhwgTs7CyfyljPX756WLVqFfPmzeOVV17h4MGD9O7dm7Fjx5Kamlrt8T/99BOXLl2q2I4fP45Op+OOO+6octy4ceOqHPfdd981xsuxCfd0uwdXe1dOXznNrsRdaodTxadb48pblXyaZauSkaOdjjlDOwCweOdZmyn3IISwII1G6QpTYzOxIPDgwYMxGAxERUVVefzIkSOUlZXRt2/fas+LiIhgypQpDf4nMoVNJUsffPABDzzwAHPmzKFbt24sXLgQFxcXlixZUu3xXl5e+Pn5VWxbtmzBxcXlmmTJ0dGxynGenk27oKEp3B3dmd5lOgBfnfhK5WgqJWUWVLQqPXZz821VMrorvB0uDjpiU3LYe/ay2uEIIUS9abVaJk2axNq1a6s8fvDgQVq0aEGXLl2uOSc+Pp7Y2FjGjRvXODE2yl3MoLi4mAMHDjBq1KiKx7RaLaNGjWLv3r31usaXX37JzJkzcXWtOvBs+/bt+Pj4EBISwsMPP8zly/LH5mqzus7CTmvHgZQDHEk7onY4ACz5PZ5SvYFBwV70DvRQOxzVuTvbc2ufNgB8s/e8ytEIIYRpqpvZ9sgjj5CTk1Pt0lUREREMHz6cli1bNkp8NpMspaenU1ZWds3UQl9fX5KTk+s8f//+/Rw/fpz777+/yuPjxo3j66+/JjIyknfeeYcdO3Ywfvx4ysrKarxWUVER2dnZVbamzNfVl0nBSv2LpceXqhsMkFVQwnf7EwB46EaZ/WU0e3AQAJtPpnApS5ZAEULYjtGjR3P+/Hni4uLqdXxERESVIpaWZnMDvBvqyy+/pGfPntcMBp85c2bFfs+ePenVqxcdO3Zk+/btjBw5stprvfXWW7z66qsWjdfa3Nf9Pn6O+5nIhEjOZZ0jyD1ItVhWRCWQV1xGiG9Lhoe0Vi0OaxPi15LwDl5ExWewIiqBJ8eEqB2SEELUi7OzM3l5efU+PjKycWdo20zLkre3NzqdjpSUlCqPp6Sk4OfnV+u5eXl5rFy5krlz59Z5n+DgYLy9vWvNbufPn09WVlbFduHChfq9CBvW0aMjN7W9CQMGlp1cVvcJFlJUWsaS3coU0wduDK62ebY5M7Yufbf/gpQREEIIM7GZZMnBwYF+/fpVySb1ej2RkZEV5c9r8sMPP1BUVMTdd99d530SExO5fPky/v7+NR7j6OiIm5tbla05mNNjDgARcRGkF6SrEsPaQ0mk5RTh5+bE5N4qFVyzYmO6++Lr5kh6bhG/Hr+kdjhCCNEk2EyyBDBv3jwWL17MsmXLiI6O5uGHHyYvL485c5Q/4rNnz2b+/PnXnPfll18ydepUWrVqVeXx3Nxcnn76afbt28e5c+eIjIxkypQpdOrUibFjxzbKa7IlfX360qt1L4r1xayIXtHo99frDSzapayB9rdhQTjY2dSPb6Ow12m5a2B7AL6Wgd5CCGEWNvXXZsaMGbz//vu8/PLLhIWFcfjwYTZu3Fgx6DshIYFLl6p+mo6NjeX333+vtgtOp9Nx9OhRJk+eTJcuXZg7dy79+vVj165dODo6NsprsiUajYa/df8bACtjV5Jfkt+o998Wm0pcai4tHe24c2C7Rr23LblzYCB2Wg0Hzl/hRFKW2uEIIYTNs7kB3o8++iiPPvpotc9t3779msdCQkJqLNLn7OzMpk2bzBlekzc8cDhBbkGcyz7H6tOruafbPfU/uTgPclNAXwY6e/Bob1Lxss93Kq1Kd4W3o6WTvamhNxs+bk6M6+HH+qOX+Gbved6e1kvtkIRQ5KVDXhrYOYKjO7i2qvscIayAzSVLQl06rY7Z3Wfz2t7XWB69nLtC70Kn1dV8Qk4K/LkEzmyFpIOgL618zskD2vaHXjOg+61KAlWDIxcy2R+fgb1OU1GtWtTs3iFBrD96iZ8PX2T++K64u0hyKVRgMEDCPuU9IGEvZP1lMox3FwgeDn3uBv/eqoQoRH3YVDecsA6Tgifh5uDGxdyL7EzcWf1BeZfhl2fgo16w421I3K8kSvauSpKkc4DCTIj7DX56AD7qrbyh6qufwbV0zzkAbukVgJ+7k0VeV1PSv70noX4tKSzR88OBpj9bU1ih83tg8Qj4ahwc+748UdKAsyc4tFD200/B/kXw+Y3w3Z2QckLtqIWolrQsCZM52zkzrcs0vjr+FcujlzOi3YiqB5zZBmv+DrnlxULbDoB+90HQDeCpDD6mtBhSjsPpLfDHF5B9Edb/C06uhSmfgnvlYrCp2YWsP6osbSKtSvWj0Wi4e1B7Xvz5OKv+uMDcYR2kzIJoHMX5EPkaRC0EDGDnpLQe97wd/MPAqXz2cMEVOPc7nFijbLG/KB+eRv0bwh8GrXyWF9ZDfhpFg9wZcic6jY6o5ChOXTmlPGgwwLa34JupSqLk3QVmr4W5W5RmdmOiBGDnAG36wvBn4YljMPYtsHOGs9vhs6FwvnIJm+VRCZSUGejX3pOebZvvgrmmmhwWgKOdltOpuRxJlIHeohHkpCgtSVGfAQbocw/86wRM/hg63FiZKIHSwtT1Frh9CTyyH0ImQFkxbHoevpsBRTmqvQwh/kqSJdEg/i38ubndzQBKGQG9Hn55WulyA+j/N3hwhzIeoa4WDXsnGPwP+PvvENBX6Z77ZirE/kpRaRnLo5Qp8HOGBlnq5TRJbk72jO+hFGz94U/pihMWdvkMfDkaLh0BF2+Y9SNM+QRcves+17szzFwBEz9QWqJOb4ZvboWCTIuHLazflStXePXVV6+Z7d6YJFkSDTar6ywA1p9dT+bPD8EfiwENTPwPTPovOLiYdkHvTnDfBug8FkoLYeUsDm76lvTcYvzcnBjbvfZK7eJa0/sHAhBxOImC4prXOxTiumTEw5JxkHkePDvA3M3QebRp19BoYMBcmPOLMq4x8Q9YNgnyMywSsrAdjz/+OPv37+fhhx9WLQZJlkSD9fXpS1evrhSVFfHj+Y2g0cFti2DA/XWfXBMHF5i5HHrNBEMZff94ir6aU9wzuD32OvlxNdWg4Fa09XQmp6iUTSfqXnBaCJPlXYZvp0FeKvj2UBKlVtexwHWbfsqHJtfWkHwMVt0NpUXmi1fYlA0bNpCTk8OGDRvw8PBg+fLlqsQhf31Eg2k0Gma5KAOuV7q1oOSWD6HX9Ou/sM4epnxKZuDNOFLMlw7/YVankuu/bjOk1Wq4o5/SuvS9dMUJcyspgBXTIeMMuLdTut5a+Fz/df16wL3rwNENzu+GdU8oYyJFszNx4kTWrFkDwNKlS5k1a5YqcUiyJBruwn7G7/4Cr7IyUuzsiPQyw5ukkc6O1xyf4rA+GE9NDh7r/qa8MQuTTevXBo0G9py5zIWMxq26Lpq4jc/BxT+Vwdp3rwa3mtfUNJlPV7jjK6XF+sgK2POx+a4thIkkWRINU5gFq+fioC/lDsc2AGZdL+5SVgFrT2Zxf/HTlDj7QOpJ5Y1ZmKytpwtDOyqDbH88kKhyNKLJOPYjHFgKaOD2r6B1F/Pfo9MoGP+Osh/5Glw8YP57CKuxYMECkpKS6n38kiVLiImJsWBElSRZEqYzGJRm8cwE8GjPjAmfY6e141DqIaIvR5vlFsv3JVCmN9CxQwfs7ygfOH5gqfIGLUx2R3+lbtWPBxLR66U7Q1yny2dg3ePK/o1PQccRtR9/PQbcr1T415fC6vulpEATFRcXx7PPPounpycAv/zyCxqNpsZtxowZREVF8fnnnzdKfJIsCdMdXQUnflKax6d9SWvPYEa1GwXAqthV13354lI9K/9IAOC+IUFK+YEbnlSe3DBPqeUiTDK2ux9uTnZczCxgz5nLaocjbJleD2sfgeJcaD8UbrJwi69Go8yudQ+EjLPwq7QwN0Vr165l9OjRODs7AzBixAguXbpUZUtMTGT06NG0atWK559/nilTphAREdEo8UmyJEyTdxk2zlf2h8+HwAEAzAiZAcAv8b+QU3x9n/w2nUgmPbcYXzdHRnXzrbyXf5jS/ffrM9d1/ebIyV7H5LAAQAZ6i+t0oHydN3tXuHUh6BphIQhnT2WmLRo4/K1SvFY0KWvXrmXy5MkV3zs7O+Pn51extW7dmieffJKDBw8SGRlJ7969GTlyJCkpKRw/ftzi8UmyJEyz+UUoyFCmCA97ouLhfr796OTRiYLSAiLOXF+mbyxCOWNAu8pyATo7mLxAac06+TPE/HJd92iOjDWXNp5IJqtAZheKBsi6CFv+reyPegU82jXevdsPgYEPKPvr50FJYePdW1hUeno6+/btY9KkSdU+X1ZWxt13381vv/1WkSgBODo6MmbMmEZpXZJkSdTf2R3KrBQ0MOlDZYp/OY1Gw/QQpWzA97HfY2jgNN+41Fz2nc1Aq4GZAwKrPunfC4Y8puxveBKKcht0j+aqZxt3Ovu0oLhULzWXRMP8+gwU50DbgddXT62hbn4RWvgppQp+/6Dx729DDAYD+SX5qmymvv+vX7+e/v374+vre81zxkRp8+bN/PbbbxWJklFjdcXJQrqifspKleVMQKmyW979drVbgm/hvwf+y9mss/yZ8icD/K49pi7GVqWbQ30J8HC+9oDhzyktS1fOwe4PlTdPUS8ajYYpYQG8v/kUaw9frGhpEqJe4ndCzHqldfeWj0Cra/wYnNxh/Nvww32w6wNlgd7rKYDZhBWUFhC+IlyVe0fdFYWLff1XcPjll1+YMGHCNY+XlZVxzz33sHnzZiIjIwkLC7vmmAkTJjBnzhzS09Px9q7H0joNJC1Lon4OLoX0WHD2gptfqvaQFg4tmBSsNKM2ZKB3QXEZq8untt89qIbmfXtnGPOGsr9nAWTK+BtTTAlTyjzsOXOZlGzpxhD1pC+Djc8r+wPmgm839WLpNhU63gz6Eoh8Vb04hNkEBQURHx9f5TFjorRp0yZ+++23ahMlgPj4eDw8PPDw8LBojNKyJOpWmA3b3lL2h88HZ48aD50RMoMfTv1A5PlI0vLTaO3Sut63WX80iezCUtp6OnNj51rOC50E7YfB+d+VN8tpX9T7Hs1doJcL/dp7cuD8FdYdSeL+G4LVDknYgkPfQsoxpWVn+Hx1Y9FolA9MC4fBybVwYT8EDlQ3JivkbOdM1F1Rqt3bFFOmTGHatGno9Xq0Wi1lZWXMnj27IlHq06dPjedGREQwYcIE7Owsm85Iy5Ko2+//hfx0aNUJ+s+p9dAQrxDCWodRaijlp9M/mXSb5VFKuYC7wtuh1WpqPlCjgbH/B2jg2A+QKIXqTDGlfFbc2sP1L/4mmrHiPNha3pp707Pg4qVuPAC+3SGsfNmLTS/IUijV0Gg0uNi7qLJpNLW8f1dj8ODBGAwGoqKi0Ov1zJ49m59//plvv/0Wf39/kpOTq2xlZZWLgkdERDBlyhRz//NdQ5IlUbucZNj3P2V/9GtVBnXXxDjQ+4dTP1CqL63XbY5fzOLwhUzsdZr6jaUJCIPedyr72/6vXvcQiok9/dFpNRy7mMWZNBkkL+qwf7GySK5nEAx4QO1oKo14AexdIHE/RK9TOxpxHbRaLZMmTWLt2rX88ccfrFixgvz8fCZMmIC/v3+VLSAggLy8PEDpgouNjWXcuHGWj9HidxC27fcPobRQmf0Scu0AvOqMCRqDp6MnKfkp7EzcWa9zjK1K43r4493CsX6x3fQMaO3gTCQk7KvfOYJWLRy5sbMyEFJal0StinJg90fK/k3Pgp2DuvFczc0fBj+i7O94RymWKWyWcVZbeHg4BoOhxk2v1+Pm5gYorUrDhw+nZcuWFo9PkiVRs5xkOPCVsj9ivtL9VQ+OOkemdp4K1G+gd05hCWsPXwRgVrgJdVu8OlQ2xW97s/7niYqB3hGHLza4zINoBvYtVOqqteoEPaerHc21Bv0DHFpCynFlpp6wWaNHj+b8+fPExcXV+5yIiIgqhSwtSZIlUTNjq1JgOASbtvbTHV3uQIOGPUl7SMhOqPXYnw8nkV9cRsfWroR3MHE8xI1PgdYe4nfAud9NO7cZG93NF2d7Hecu53MkMUvtcIQ1KsiEvQuU/eHzG6dSt6lcvGDQ35V9aV2yac7OzuTl5dGpU6d6nxMZGckjjzxiwagqSbIkqnd1q9Lw5+rdqmQU2DKQoW2GAsrYpZoYDAaW71NqK80Kb2/ywEA82kHf2cr+jndNO7cZc3W0Y3T5UjLGVj0hqvjzS2V5odahykK21kpal0QjkGRJVG/fZ5VjlUxsVTKaGTITgDVxaygsrb6mz8GEK8Qk5+Bkr2Va37YNi3XYE0qhvPgdkHSoYddohqb2UWbFrTtyidIy+UQurlJSoLwHAAybp04Byvpy8YLwh5T9Xf+RmXHCIiRZEtcqzIY/y1uVhv3L5FYlo2FthhHgGkBWURabz2+u9pjl+5Quult6BeDuUvdMu2p5tIOetyv7xsGook43dG6Np4s96blF7DlzWe1whDU5vALy0sA9EHrcpnY0dRv0MNg5waXD0h0vLEKSJXGtg8ugKAu8u0CXhk/J1Gl13BFyBwCrYq4d6H0lr5j1xy4BMGtQ+wbfB4Ah/1S+nlwLGWev71rNhL1Oy8Re/gCsOyKz4kS5slLY87GyP/jRepULUZ2rN4TdpewbYxfCjCRZElWVlVQ2vw95DLTX9yNya6dbsdPacTT9KNGXo6s89+OBRIpL9XQPcKN3W/frug9+PaDTaDDolWVQRL1M6qV0xW0+mUKJdMUJgOgIZe1FZy/oe4/a0dTf4EcBDZzeDKnRdR4uhCkkWRJVHV8N2Rehha+ySOV1auXcilHtRgFVB3rr9QZW7Fe64O4e1ICB3dUZ9oTy9fB3kJ9x/ddrBgYEeeHdwpGsghJ2x6WrHY6wBsYPSwMfAAdXdWMxRauO0FVZm5I9n6gbi4qkFMi19GaYJWmFc0GFagyGq94oHwS7ehaHrMP0kOlsPLeRDWc38GT/J3G1d2Xv2cvEp+fRwtGOyb0DzHIf2g8Fv16QfBQOfl2ZPIka6bQaxvfw45t95/nl2CWGh/ioHZJQ08UDSkVsrT30n6t2NKYb8rhSzfvY9zDq39Ci/mtT2jp7e3s0Gg1paWm0bt3aPB9AbZzBYKC4uJi0tDS0Wi0ODg0vqirJkqiU+KcyQFLnCP3uM9tl+/v2p4N7B+Kz4ll/Zj0zQmewPEopF3Brnza4Oprpx1CjUWbFrH0E/viifLyF/IjXZUJPf77Zd55NJ1L4v1v12OukwbnZilqkfO1xG7T0VTeWhggcAG36KUnfwWVKHbZmQqfT0bZtWxITEzl37pza4VgVFxcX2rVrh/Y6hpXY3F+STz/9lPfee4/k5GR69+7NggULGDiw+hWnly5dypw5VRd+dXR0pLCwchq7wWDglVdeYfHixWRmZjJ06FA+++wzOnfubNHXYZX2G98opykDJs1Eo9Ewvct03vnjHVadWsVw/8lsPpECwKxBJlTsro8et8OWlyHrApz6FbreYt7rN0EDOyhdcem5ReyOS5fWpeYqJ0XphofKqfi2aOCDsOYh+HMJDH2iWX1gatGiBZ07d6akpETtUKyGTqfDzs7uulvabOqnaNWqVcybN4+FCxcSHh7Ohx9+yNixY4mNjcXHp/o3eDc3N2JjYyu+/+s/2LvvvsvHH3/MsmXL6NChAy+99BJjx47l5MmTODk5WfT1WJXcVDixRtkPf9Dsl7+l4y18dPAjTl85zYLdkZTqNfRv70mon5t5b2TvBH3vhd8/gKjPJVmqB51Ww7gevny7L0G64pqzA0tBXwJty1tnbFW3qbDpBWXsZewv0K1xlsOwFjqdDp3Oiuti2Sibam//4IMPeOCBB5gzZw7dunVj4cKFuLi4sGTJkhrP0Wg0+Pn5VWy+vpVNywaDgQ8//JAXX3yRKVOm0KtXL77++muSkpL4+eefG+EVWZGr3ygD+pj98u6O7ozroJQh2HD+J8ACrUpGA+YqRSrP7ZJZMfU0oadSQkBmxTVTZaWVFfsH2nCrEpR/YCqv6m9sLRfiOtlMslRcXMyBAwcYNWpUxWNarZZRo0axd+/eGs/Lzc2lffv2BAYGMmXKFE6cOFHxXHx8PMnJyVWu6e7uTnh4eK3XbHL0ZUqyBDDgAYvdZnoXZSHOEqdDeLQoZnwPf8vcyL0thIxX9g8ss8w9mpjwDq3wbuFAZn6JFKhsjk5vhpxL4NKqabTE9P8baLTKB6a02LqPF6IONpMspaenU1ZWVqVlCMDX15fk5ORqzwkJCWHJkiWsXbuWb7/9Fr1ez5AhQ0hMTASoOM+UawIUFRWRnZ1dZbNpcb8pTdbOXtBtisVu08O7By6Gdmi0pfQKjcPJ3oJNxf3Kx6od+U5ZukHUSqfVMLa7HwC/HL2kcjSi0RlblcJmmW0WrKo8AisL6h78Wt1YRJNgM8lSQwwePJjZs2cTFhbGTTfdxE8//UTr1q35/PPPr+u6b731Fu7u7hVbYGCgmSJWibH1pfedShO2hSReKSAjWRkLkcI2y9YD6TgC3NtBYaZS1VvUaWJ5V9ymk8nSFdecZF6A01uUfTPOglVd33uVr4dXQGmRurEIm2czyZK3tzc6nY6UlJQqj6ekpODn51eva9jb29OnTx/i4uIAKs4z9Zrz588nKyurYrtw4YIpL8W6ZF+CUxuV/X73WvRWK/9IoCQrDK3BiaS8C+xP3m+5m2l1leMWjF2MolYDO3jRylXpitsrXXHNx6FvAAN0uFEp7NhUdBoFLQOgIANi1qsdjbBxNpMsOTg40K9fPyIjIyse0+v1REZGMnjw4Hpdo6ysjGPHjuHvr3yC7tChA35+flWumZ2dTVRUVK3XdHR0xM3Nrcpmsw5/C4YyCBwErUMsdpviUj2r/kgEgyPhrUcDsCr22vXizKrP3cpA74S9kBpj2Xs1AXY6LeN6lHfFHZOuuGahrBQOfqPsN6VWJVBKBvS5W9mXsYviOtlMsgQwb948Fi9ezLJly4iOjubhhx8mLy+vopbS7NmzmT9/fsXxr732Gps3b+bs2bMcPHiQu+++m/Pnz3P//fcDyky5J554gjfeeIOIiAiOHTvG7NmzCQgIYOrUqWq8xMal11/1RmnZVqXNJ5NJzy3Cp6Ujj4crLT7bEraRlp9muZu6+VeOWzj8reXu04RUdMWdSKZUuuKavrPbICdJGa8YOkntaMyv7z2ABuJ3yALb4rrYVLI0Y8YM3n//fV5++WXCwsI4fPgwGzdurBignZCQwKVLlZ+Ir1y5wgMPPEDXrl2ZMGEC2dnZ7Nmzh27dulUc88wzz/DYY4/x4IMPMmDAAHJzc9m4cWPzqLF0/nfIPA+ObkptEgtavk9ZB27mgEC6e4cS1jqMUkMpa+LWWPS+FZ8sj6xSFgkWtRrYwQsvVweu5JewP17W12vyDi9Xvvaa3jQGdv+VRzvoeLOyf3iFurEIm6YxyKp71y07Oxt3d3eysrJsq0tuzcNwZIUyEHLyxxa7TVxqLqM+2IFWA7uevZk2Hs6sO7OO539/Hn9Xf3697Vd0WgvNjCsrgf+EQn463LkKQsZZ5j5NyDM/HuH7PxO5d3B7Xp3SQ+1whKXkZ8B/QqCsGB7aBf691I7IMo79CKvngnsgPH4UrmPJC9H01Pfvt/zUNFdFuZWzxMJmWfRW3+1XWpVuDvWhjYczAGOCxuDu6M6lvEv8fvF3y91cZw+9Zij7xk/RolbGEgKbT6bICuZN2fHVSqLk27PpJkoAoRPB0V1ZAuncLrWjETZKkqXmKjoCSvLAqyMEVr+2njkUlpTx4wGlrtWsQe0rHnfUOTK141QAvj/1vcXuD0DYXcrX2F+VT9OiVkM7eePioONSViHHLmapHY6wFOOHhz6W/bCkOntn6D5V2T/ynaqhCNslyVJzZey/D7sTrnOBwdqsP3qJrIIS2no6c2Pn1lWeuyPkDgB2Je4iKTfJYjHg1wP8einLuRz7wXL3aSKc7HUMD1H+rzadqLk4q7BhqdGQdAi0dtDzDrWjsTzjB6aTEUqruhAmkmSpObpyvrw5WgO9Zlr0Vt/sOw/AXeHt0GmrJmXt3dozyH8QBgz8eOpHi8ZR0dV41MLlCpoIY1fcphMpdRwpbJLx96DzWHD1VjeWxhAYDl7BSmt6dITa0QgbJMlSc3S8PDEJGqYsC2AhxxKzOHIhE3udhun9q7/P9BBlvbifTv9EiSVnq/W4TVkr6uIBmUJcDyNCfbDXaYhLzeVMmnwSb1L0emXQMyiz4JoDjUZZoQDgyEp1YxE2SZKl5uj4T8pXCze/f1veqjShpz/eLaqfljw8cDjezt5cLrzM1gtbLRdMCx+lQjEoA1tFrdyc7BncUWlxkK64JiZhrzLY2dGtsg5Zc2B8vzu3C3KkxVSYRpKl5iY1BlKOg9Yeut5isdtk5Zew9shFAO6+amD3X9lr7bmt820A/BBr4fFEPW5Xvh6TZKk+xnZX6pdtlq64puVY+YSKbpMtuhak1fHqAG36gUEv60UKk0my1NwYW1U6jQQXL4vdZvXBRApL9IT6taR/e89aj7298+1oNVqikqOIz4q3WEx0vQV0DpAWDSknLHefJmJ0N180Gjh8IZPkrEK1wxHmUFoEJ35W9ns2ky64q/WYpnyV1mVhIkmWmhODofJNwvimYZHbGPg2SumCmzWoPZo6Ztv5t/DnxjZKF9kPpyzYuuTsAZ2UdekqxmyIGvm0dKJvOyXR3XJSuuKahNNboDATWvorYxabm+63Ahq4sA8ybXgBdNHoJFlqTi4dgYwzYOcMIRMsdpu9Zy5zNi0PVwcdt/ZpU69zjGUE1satpbDUgq0YPa/6ZCkFF+s0ppvSFSez4pqIqz8sWapqvjVzC4D2Q5T9ExZeakk0KZIsNSfGWXBdxoJjC4vdxlgu4Na+bWjhaFevc4YGDCXANYDs4mw2n99ssdjoMh7sXZU18S4esNx9mghjCYF9Zy+TlS9r69m04nw4tUnZ73GburGoSbriRANIstRc6PVwvPyTlAW74FKyC9l8UmmFqG1g91/ptDpu76IMwP4+1oIVvR1cILS8VU264uoU5O1KiG9LSvUGImOkdcmmxW1R6gx5tIOAvmpHo55uU0Cjg0uH4fIZtaMRNkKSpeYicT9kJ4JDS+g8xmK3+W5/AmV6AwOCPAn1M21R4Vs734qdxo4jaUeIzYi1UIRUzoo78RPoyyx3nybCOCtuy0lJlmyacWB3tykWrdpv9Vy9IXi4si+tS6KeJFlqLoytKF0nWWy6cEmZvmLRXFNalYy8nb0Z2X4kYOHWpY43g5MH5KbAOQsu4ttEjOyqJEs7T6VRVCrJpU26uguu+63qxmINjK3rx36UsYuiXiRZag7KSuHkz8q+sVXFAiKjU0jJLqKVqwPjevg16BrTuyjTmdefXU9eSZ45w6tk56DUmIHKcVyiRj3buNO6pSN5xWVEnZWFiG2SdMFVFTpRKSOSHgupJ9WORtgASZaag3O7IC8NnL0g+CaL3ebbfUqr0vQBgTjaNWymzQC/AQS5BZFfms+GsxvMGV5VxqTxZASUFlvuPk2AVqthZKgPoCTEwgZVdMFNbd5dcEbOHpXDEaQrTtRDg5Kl0tJSfvvtNz7//HNycnIASEpKIjdX1pCySsbWk25TQGdvkVucTcvl97h0NBq4a2C7Bl9Ho9FUrBf3fez3GCzVRB40DFr4KjVn4ndY5h5NyKjyrrjfolMt938iLKM4H05tVPa7T1U1FKtinBEoZUREPZicLJ0/f56ePXsyZcoUHnnkEdLS0gB45513eOqpp8weoLhOZSUQU95CY8FZcMujlFalESE+BHq5XNe1JnecjKPOkdgrsRxJO2KO8K6l1VUu9yKrkNdpaCdvHO20XMwsIDYlR+1whCnitkBJvnTB/VWXcWDvAlfOQdIhtaMRVs7kZOnxxx+nf//+XLlyBWdn54rHb731ViIjI80anDCD87uh4Aq4eFcWYzOz/OJSfvhTqYZ796CGtyoZuTu6My5IWeDzu5jvrvt6NTImSzEbZFZcHZwddAzrpCysGxmdqnI0wiTSBVc9B1foXF7RP2a9urEIq2dysrRr1y5efPFFHBwcqjweFBTExYsXzRaYMJPodcrX0AkWq9i75tBFsgtLCfRy5qYuPma55l1d7wJg87nNpOZb6I9z+6Hg7An5l5WV2EWtRlZ0xcm4JZshXXC161o+0cP4PilEDUxOlvR6PWVl134KT0xMpGXLlmYJSpiJXl/ZBRd6i0VuYTAYWLr7HAD3Dg5CpzXPJ9durbrR16cvpYZSy5UR0NlXLvsib5Z1GtlVSYQPX8gkLadI5WhEvUgXXO06jwatPaSfgjQL1nYTNs/kZGnMmDF8+OGHFd9rNBpyc3N55ZVXmDDBcuuNiQa4eAByLimFKC00C2533GVOp+bi6qBj+oBAs17b2Lr0w6kfKC6z0Iy1inFL62SQZx183Zzo2cYdgwG2xUhXnE2QLrjaOblXFqiUD0yiFiYnS//5z3/YvXs33bp1o7CwkLvuuquiC+6dd96xRIyioYwDl7uMBTtHi9ziq93xANzery1uTuadaTey3Uh8XXzJKMzg1/hfzXrtCsEjlLXisi9C0kHL3KMJMbYuSVecDSgpuKoQ5VRVQ7FqXScpXyVZErUwOVlq27YtR44c4fnnn+df//oXffr04e233+bQoUP4+JhnvIowA4OhctCi8c3AzM6l57E1VmlhmD0kyOzXt9PaMTN0JgDLo5dbZsq6vRN0Ka+3Im+WdTKWENh1Op3CEhkUb9XOblcKUboHShdcbUImAhplrbjMC2pHI6xUg+os2dnZcffdd/Puu+/yv//9j/vvv7/KzDhhBVJPQsZZ0DlCp9EWucWyvecwGGB4SGs6tm5hkXvc3vl2HHWORGdEczjtsEXuUdEVdzJCuuLq0D3ADT83JwpKyth79rLa4YjaGD8shU6ULrjatGgN7QYr+zIrTtTAztQTvv7661qfnz17doODEWZkbCXpNBIczZ/I5BSW8MOfiQDMGdrB7Nc38nDyYFLwJFafXs23J7+lj08f89+k8xglqcw4A2kx4NPV/PdoIjQaDTd39WFFVAKR0SmMCJHWZKukL4PY8llwITKWtE5db4GEPRC9HgY9rHY0wgqZnCw9/vjjVb4vKSkhPz8fBwcHXFxcJFmyFsZkqatlZsH9eCCR3KJSOrZ25cbO3ha5h9GdoXey+vRqIhMiSc5Lxs+1YevO1cixpbK47qlflX83SZZqNao8WdoanYphigGNtFpYnwv7IT9dWTDaQvXVmpTQibBpvpIw5aWDq2Xf04TtMbkb7sqVK1W23NxcYmNjGTZsGN99Z8ECgqL+Ms5CynHQ6JQqtWam1xtYtuccAPcNCbL4H8sQrxAG+A2gzFDGqthVlrnJ1V1xolZDOnrjZK8lKauQk5ey1Q5HVMfYndRlnMWWOGpSPNuDf28w6CH2F7WjEVbILAvpdu7cmbfffvuaViehkujyN8qgYeDiZfbLbz+VyrnL+bR0suO2vm3Nfv3qzOo6C1DKCOSX5Jv/BiHjleQy5ZiSbIoaOdnrGNapNSDVvK2SwXBVfTXpgqu30KvKiAjxF2ZJlkAZ9J2UlGSuy4nrYeEuuEU7lWRi5oBAXB1N7sltkOFthxPYMpCsoizWxK0x/w1cvJTkEiqTTVGjUeUlBCKlhID1SYuBK/HKOLyOI9WOxnYY3y/PbodCaTEVVZn8ly4iomo3hcFg4NKlS3zyyScMHTrUbIGJBspJhsT9yn7oRLNf/siFTPadzcBOq7HowO6/0ml13NvtXt6IeoNvTn7DjJAZ2GnNnKh1vQXidyifyof+07zXbmJuDlWSpSOJWaRkF+Lr5qRyRKKCsQuu4wiLTO5oslqHQKtOcDkOTm+GnrerHZGwIia3LE2dOrXKdtttt/Hvf/+bXr16sWTJEkvEWMWnn35KUFAQTk5OhIeHs3///hqPXbx4MTfccAOenp54enoyatSoa46/77770Gg0VbZx48w/zqfRGPvb2/QHtwCzX97YqjQ5LIAAj8YtFzGl0xQ8HT25mHuRLee3mP8GIeOVr4n7lUGeokY+bk70busOwFap5m1djF1wMgvONBpN1Yr+QlylQWvDXb2VlZWRnJzMihUr8Pf3t0SMFVatWsW8efN45ZVXOHjwIL1792bs2LGkplb/Zr19+3buvPNOtm3bxt69ewkMDGTMmDHXLPg7btw4Ll26VLHZ9ED12PJK1xYYq3AuPY9fj18C4MEbg81+/bo42TlxZ+idAHx1/CvzF6l0bwt+PZVBnqc3m/faTZCxQKV0xVmRrIuQdAjQVCb/ov5Cylvj4yKh1EJLLAmbZLYxS43hgw8+4IEHHmDOnDl069aNhQsX4uLiUmOL1vLly/nHP/5BWFgYoaGhfPHFF+j1eiIjI6sc5+joiJ+fX8Xm6enZGC/H/Irz4OwOZb+L+d8ov/j9LPryIpShfm5mv359zAydiZPOieiMaPYn19yq2GDGT+OxFlpepQkZWZ4s/R4n1bythrFlOXAgtJAaWCZr0w9cW0NxDpzfrXY0worUa9DHvHnz6n3BDz74oMHB1Ka4uJgDBw4wf/78ise0Wi2jRo1i79699bpGfn4+JSUleHlVnSG2fft2fHx88PT05Oabb+aNN96gVatWZo2/UZzdDmVFygrjZq4VlJ5bVFGE8qEbO5r12qbwdPJkaqeprIxdyVfHvyLcP9y8N+gyDna8A2e2QmmRxdbUawq6+rckwN2JpKxCdselVyRPQkUVs+DMP16xWdBqlbU0D30LpzYq476EoJ7J0qFDh+p1MUvW20lPT6esrAxf36pvyL6+vsTExNTrGs8++ywBAQGMGjWq4rFx48Zx22230aFDB86cOcPzzz/P+PHj2bt3LzqdrtrrFBUVUVRUVPF9draVzJwwtoZ0GW/25Q2+3nueolI9vdu6MyjY/OUITDG7+2y+P/U9u5N2E5sRS4hXiPku7h8GLf0h5xKc2wWdRtV5SnNlrOb97b4EtsWmSrKktoJM5WcWINQy60E2C13GK8lS7K8w7m1ZKkYA9UyWtm3bZuk4LO7tt99m5cqVbN++HSenypk7M2fOrNjv2bMnvXr1omPHjmzfvp2RI6ufdvvWW2/x6quvWjxmk+j1lSuMm3msQn5xKV/vPQfAQzd1VL1ic2DLQEa3H82mc5tYdmIZb97wpvkubvxkeWCp8mYpyVKtRoSUJ0sxaRgMUs1bVXG/gb4UvEOglXqtvzav4wil7ELmeVn+SFSwmTFL3t7e6HQ6UlKqDiZNSUnBz6/25S/ef/993n77bTZv3kyvXr1qPTY4OBhvb2/i4uJqPGb+/PlkZWVVbBcuWMFK1UmHIC8VHN2gvXlLOHz/xwUy80to38qFsd3NvNRIA83pPgeAX+N/5VLuJfNevGLc0kZZWLcOgzu2wsFOy8XMAuJSc9UOp3kzjleSQpTXx8EVOtyo7MvYRVGuQcnSn3/+yTPPPMPMmTO57bbbqmyW4uDgQL9+/aoMzjYO1h48eHCN57377ru8/vrrbNy4kf79+9d5n8TERC5fvlzrzD5HR0fc3NyqbKozvlF2vBnsHMx22ZIyPYt3xQNw/w3B6LTW0XLQ3bs7A/wGUGoo5asTX5n34h1uBDtnyE5Ulo0RNXJxsGNwsDK+T0oIqKisRGlZAikZYA4h5eVjTm1UNw5hNUxOllauXMmQIUOIjo5mzZo1lJSUcOLECbZu3Yq7u7slYqwwb948Fi9ezLJly4iOjubhhx8mLy+POXOUVobZs2dXGQD+zjvv8NJLL7FkyRKCgoJITk4mOTmZ3FzlE3Bubi5PP/00+/bt49y5c0RGRjJlyhQ6derE2LFjLfpazM74S23mLrifDiZyMbMA7xYO3NGvcZY2qa+Hej0EwOpTq0nJM+P0dXvnyoGd8smyTiNClKVPtsVKsqSaC1FQmAUurZQZXeL6GNfUvCA114TC5GTpzTff5L///S/r1q3DwcGBjz76iJiYGKZPn067du0sEWOFGTNm8P777/Pyyy8TFhbG4cOH2bhxY8Wg74SEBC5dquyS+eyzzyguLub222/H39+/Ynv//fcB0Ol0HD16lMmTJ9OlSxfmzp1Lv3792LVrF46ONjQLKjOhfOFcLXQeY7bLlpTpWbBV6Y78+00dcbKvfsC7Wgb6DaSvT1+K9cUsOW7mgqjGpFOSpToND1GmqP957grZhSUqR9NMGccrdhoNWuv6PbVJxpprGKTmmgAasNzJmTNnmDhRmZbq4OBAXl4eGo2Gf/3rX9x8880WH/j86KOP8uijj1b73Pbt26t8f+7cuVqv5ezszKZNm8wUmYqMb5SBg8y6cO5PBxNJvFKAdwtHZoW3N9t1zUWj0fBw2MM8sPkBfjz1I3N7zsXHxUy1ZTqXtywmHYTsS+Bm2YKrtizI25Vgb1fOpufx++l0JvSUf6tGZ3wP6GJjLeLWLGQCJB9ThjiE3aV2NEJlJrcseXp6kpOTA0CbNm04flwZ05GZmUl+vgVWgxd1M7Z+hJhvmZbi0qtblYJxdrDOT6vhfuH08elj/tallr7KkjEAp5tAQm1hI8rXitsm45YaX8ZZSI8FrZ0yZlGYh7Er7sw2peaaaNZMTpZuvPFGtmxR1uW64447ePzxx3nggQe48847a5xqLyyoKKeytooZq3Zbe6uSkUaj4eHeDwPw46kfSctPM9/FjcmndMXVaUR5V9z2U2no9TKDsFGdKu8majcYnD1UDaVJ8Q+DFn5QnFv5HiuaLZOTpU8++aSiNtELL7zAvHnzSElJYdq0aXz55ZdmD1DU4cw2KCsGr2Dw7myWS17dqvTw8I5W26pkNMh/EH18+lBUVmTe1iXjrKKz26FYWk1rM6CDJy4OOtJyijh5yUqKtDYXxskdXWx4AXBrZKy5BkoZEdGsmZwseXl5ERCgrGav1Wp57rnniIiI4D//+Y/trqlmyyxQtXt1+Qy41i0dmRVu2UH75qDRaPh7778D8MOpH8zXuuTTDdzbQWkhxO80zzWbKEc7HcM6eQNSQqBRFeXAud+VfUmWzM840eOU1Fxr7kxOlkaNGsXSpUutZ4mP5kyvhzilS9Rc45WKS/V8YmxVssIZcDUZ7D+YsNZh5m1d0migS/nsQpkRU6eKcUtSQqDxnNkG+pLyluVOakfT9HS4CeycIOsCpJxQOxqhIpOTpe7duzN//nz8/Py44447WLt2LSUlMl1YFZcOQV4aOLRUxiuYwQ8HLnAxswCflo7cZQOtSkbGmXEA38d+T3JesnkubCzFcHqLfLKsw/DyekuHL2SSkVescjTNRMUsOGlVsggHFyVhApno0cyZnCx99NFHXLx4kZ9//hlXV1dmz56Nr68vDz74IDt27LBEjKImp8sr9nYcATr7675cfnEpH/52GoB/DLedViWjwf6DGeA3gGJ9MZ8e/tQ8Fw26QVknKisB0mLNc80myt/dmVC/lhgMsPOUGQfai+rp9ZV/wKVkgOV0ueoDk2i2GrTciVarZcyYMSxdupSUlBQ+//xz9u/fz803y7TVRmXsGjJTIcovd8WTllNEOy8X7rLiGXA10Wg0/KvvvwCIOBPB6Sunr/+iDi7Q4QZlX7ri6nRzeVecjFtqBFValoeoHU3TZay5diEK8jPUjUWo5roW0k1OTmbhwoW88847HD16lAEDBpgrLlGXvHS4eEDZ7zTqui+XnlvEwh1nAHhqbAgOdjazxnIVPVv3ZHT70egNej4++LF5LtpZxi3Vl3Hc0o5TaZRJCQHLqqjabd71IMVfeAQqkz0MejizVe1ohEpM/ouYnZ3NV199xejRowkMDOSzzz5j8uTJnD59mn379lkiRlGduEjAoJTkN0N16Y8jT5NXXEavtu5MsvEKzP/s8090Gh3bE7ez/9L+679g59HK14S9yvpbokZ9Aj1wc7Ijq6CEwxeuqB1O0yYlAxqP8T1APjA1WyYnS76+vrzwwgv06NGDvXv3Ehsby8svv0zHjh0tEZ+oiRm74GKTc1gelQDAc+ND0WrNU4JALUHuQUwPmQ7AO3+8Q5m+7Pou6BUMrTqDvlSpuSRqZKfTcmMXZaC3dMVZUPYluHQE0CjrwQnLMnbFnd4C1/t+ImySyclSREQEiYmJ/Pe//6V///6WiEnURV8GZyKV/etMlgwGA6+tP0GZ3sDY7r4M6ehthgDV94/e/8DNwY1TV06x+vTq67+gdMXV280VS5/IIG+LiSuf3BHQB1q0VjeW5iAwHJzcoSCjcviDaFZMTpZGjx6NVmub41majIsHoOCK8svb5voS1s0nU9gddxkHOy0vTOhmpgDV5+HkwT/C/gHAgkMLyCq6zu6zimb4LcosJFGjG7u0RqOBk5eySc4qVDucpslYX81MkztEHXR20LF8Oa9TUkKgOZKsxxYZWzc6jlR+iRuosKSM/9sQDcADN3SgXSsXc0RnNaaHTCfYPZjMokw+OfTJ9V2s/RCwd4XcFEg+ap4AmyjvFo70ausBwI5T0hVndmUlSjFKqEziheVJ63KzJsmSLTLTeKUFW0+TkJGPn5sT/xje9Kr/2mvteT78eQBWxa7iePrxhl/MzhGChyv7Um+lTiNCZNySxVzYD0XZ4OyldMOJxtF5NKBRPixlX1I7GtHIJFmyNTkp5QM7ua6SAadScvh8x1kA/j25O66ODW+hsmbh/uFMCp6EAQOv7X2NUn1pwy8mM2LqzThu6ffT6RSXSrelWRm74DqNAq1tFY61aa7e0Kafsi/vAc2OJEu2pmJgZ98GD+zU6w08/9MxSvUGRnX1ZWx3XzMGaH2e7P8kLR1aEp0RzYroFQ2/kLElL/EPyLtsnuCaqB4B7ni3cCCvuIw/z0khP7MytmxKF1zjk664ZqtBzQmRkZFERkaSmpqK/i+DXZcsMdMipqJ6FV1wDX+j/DbqPH+ev4KLg45Xp3RHo7HtUgF18Xb25l/9/sVre19jwaEFDA8cTju3Bqx7594GfHtAynFlNmKv6eYPtonQajXc2KU1Px28yPZTaQzp1DRmWaouO0n5+UNTOeBYNJ4uY2D7m0oJkdIipXteNAsmtyy9+uqrjBkzhsjISNLT07ly5UqVTVhQlYGdDRuvFJ+ex1u/xADwzNgQ2ng4mys6qzat8zTC/cMpLCvkxd0vNrz2knTF1duIEGMJARm3ZDbGVqU2/cC1lbqxNEd+vaGFLxTnwvk9akcjGpHJLUsLFy5k6dKl3HPPPZaIR9Tmwn4oygKXVg0a2FmmN/DUD0coKCljSMdWzB4cZP4YrZRWo+W1Ia9x69pbOZR6iG+jv+Xe7veafqHOY+D3/yrdofoyGTNSixs6e6PVwOnUXBKv5NPWs2nNtlRFnHTBqUqrVf7tD32rfGDqOELtiEQjMbllqbi4mCFDZNFGVVznwM6FO85w4PwVWjja8e7tvWy+UrepAloE8PSApwH46OBHxGTEmH6RtgPLi9NdkeJ0dfBwcaBvO08AtsdKgcrrVlYCZ7Yr+5IsqcfYqi/1lpoVk5Ol+++/nxUrrmOQrGg4YxN8A5Y32B+fwQdbTgHwyi3dmu2n/GmdpzG87XBK9CU8veNp8kryTLvA1cXppCuuTsPLSwhIsmQGCfugOAdcvMFfSgaoJngEaO0h4wxcPqN2NKKRmJwsFRYW8sEHH3DTTTfx2GOPMW/evCqbsJCsi5UDOzuZNrDzcm4Rj313kDK9gdv6tOH2fm0tE6MN0Gg0vD70dXxdfDmXfY439r2BwWAw7SLyybLehpePW9pzJp2iUllT67pUtCyPVLqDhDqc3KD9YGVfPjA1Gyb/xh09epSwsDC0Wi3Hjx/n0KFDFdvhw4ctEKIAKt8o2w4AF696n1ZapufxlYdJyS6iY2tXXp/ao8nPfquLh5MH7974LjqNjvVn17MixsSWUmN9KylOV6fuAW60bulIfnEZf8TLBJDrcrq8bIgscaI+48K68oGp2TB5gPe2bdssEYeoy+mGrQX16rqT/B6XjrO9jk9n9W2yxSdN1de3L0/0fYL/HPgP7/3xHsHuwQwOGFy/k1u0VupcJR1UBnr3lckONdFoNAzv0pofDiSyLTaVYZ2lhECDZCVC6gnQaKHjzWpHIzqPgc0vwPndUJQLji3UjkhY2HW15SYmJpKYmGiuWERNSouVuh5g0sDOZXvO8c2+82g08OHMMEL93CwTn426t/u9TO44mTJDGU/ueJKzWWfrf7IUp6u3EeXVvLfHSgmBBjMWo23Tz6SWZWEh3p3BMwjKiiF+h9rRiEZgcrKk1+t57bXXcHd3p3379rRv3x4PDw9ef/31awpUCjNJ2KvU9XD1Ab9e9Tpl3ZEkXl13AoBnxoYytrufJSO0SRqNhpcHv0zv1r3JKc7hwc0PkpSbVL+TjcnSmW1KMitqNLSTNzqthjNpeSRczlc7HNvUwJZlYSEajXTFNTMmJ0svvPACn3zyCW+//XbFWKU333yTBQsW8NJLL1kiRnF11e56DOzccjKFf606jN4Adw5sx99vCrZwgLbLUefIxzd/TAf3DqTkp/DA5gdIL0iv+8SAPsqspOIcuBBl+UBtmLuzPf3al5cQOCWtSya7umX5OtaDFGZW0bq8BUydJCJsjsnJ0rJly/jiiy94+OGH6dWrF7169eIf//gHixcvZunSpRYIUZiyFtTG45d4ZPlBSvUGbu3Thv+TAd118nLyYvHoxbRp0YaEnATu23gfiTl1dC9rtZWzEo2D70WNpITAdbiwr7xluTX4h6kdjTAKGgb2LpBjXIJGNGUmJ0sZGRmEhoZe83hoaCgZGbJgptldOQ/psaDRKfU9arFszzkeXn6Q4jI9E3r68V4zLDzZUL6uviwevZgA1wDOZ59n9q+zic2Irf2kqz9ZilqNuKqEQGGJlBAwyemri9FKyQCrYe8EHW5S9qUrrskz+Tevd+/efPLJJ9c8/sknn9C7d2+zBCWuYmy1CAwHZ49qDyksKeOln4/zSsQJDAaYFd6Oj2f2wU4nb6ymCHQL5JsJ39DJoxNpBWnc8+s9bDi7oeYTOt6szE5KPanMVhI1CvVriZ+bE4UleqLi5UOVSa5OloR16SITPZoLk/+avvvuuyxZsoRu3boxd+5c5s6dS7du3Vi6dCnvvfeeJWKs4tNPPyUoKAgnJyfCw8PZv39/rcf/8MMPhIaG4uTkRM+ePfnll1+qPG8wGHj55Zfx9/fH2dmZUaNGcfr0aUu+BNPU0QV3KiWHqZ/u5pt95wF4akwX3pjaQxKlBvJx8WHpuKUM9BtIQWkBz+16jn/v+Tc5xTnXHuziBW36K/vSulQrjUZT0RUnC+uaICsR0qKlZIC1Mq6mkPgH5MuHgKbM5L+oN910E6dOneLWW28lMzOTzMxMbrvtNmJjY7nhhhssEWOFVatWMW/ePF555RUOHjxI7969GTt2LKmp1b/57tmzhzvvvJO5c+dy6NAhpk6dytSpUzl+vLJ/+d133+Xjjz9m4cKFREVF4erqytixYyksLLToa6mXkkI4Wz4t9S+zYLLyS3h13QkmfLSLmOQcWrk6sOxvA3n05s4yRuk6uTu6s2j0Ih7q9RAaNKw+vZpb1txCxJkIyvR/6UIyJrHGqd2iRsZkaccpGbdUb6cbVoxWNBKPQPDpDgY9xEWqHY2wII3B5LUe1BMeHs6AAQMqugH1ej2BgYE89thjPPfcc9ccP2PGDPLy8li/fn3FY4MGDSIsLIyFCxdiMBgICAjgySef5KmnngIgKysLX19fli5dysyZM+sVV3Z2Nu7u7mRlZeHmZsZaRnGR8O1t0DIA5p3EAMQk5/Dd/gR+OniR3KJSAEZ19eXNW3vg4+ZkvnsLAKIuRfHGvjc4l30OgLYt2jKr6yzGdxhPK+dWkHQIFg0HhxbwTDzYOagarzXLKSyhz2tbKNUb2P7UcIK8XdUOyfp9dxfEboARL8JNT6sdjajOb/+G3/8LPe+AaV+oHY0wUX3/fternPPRo0fp0aMHWq2Wo0eP1npsr171qwNkquLiYg4cOMD8+fMrHtNqtYwaNYq9e/dWe87evXuvWa9u7Nix/PzzzwDEx8eTnJzMqFGVYwHc3d0JDw9n79699U6WLOXs3jUEA4edBvDFd4fYH59Bak5RxfMhvi15cVJXbujcWr0gm7hw/3BWT17N1ye/5qvjX5GYm8g7f7zDO3+8Q4hnCN1bdcPXxx/3whw0+96GVp3UDtnqXN3S2SE4nnOX8/lvVDyDOrZSMSobUFYGqftwbOGKr6cPAVnxtHdrj1YjXezWQK83cCo1h1z7/vQHiqI3cXjV22qH1aSFjrkfd091VgGoV7IUFhZGcnIyPj4+hIWFodFoql18VKPRUFZmmZku6enplJWV4evrW+VxX19fYmJiqj0nOTm52uOTk5Mrnjc+VtMx1SkqKqKoqDJpyc7Orv8LMYH9WaVZ97OLwWy6oKxB5mCn5eYQH+4e1J4hHVvJbLdG4KBz4P6e93NX6F2sP7ueH0/9SHRGNLFXYom9Eguu9uDqBWd+AFmEvHb24OQHW9OVTdTBwxVwhUPvw6H3aeXUiqFthjK+w3iGBgyVLvdGVlKmZ8vJFH46eJH98ZfJLixFh54Djq54lGYTHv2W2iE2aRf6jrfuZCk+Pp7WrVtX7Dd3b731Fq+++qplb1JWylm/cZRd2UeHsIk86+FFn3YehAV64GSvs+y9RbVc7F2YHjKd6SHTuVxwmf3J+zmffZ6UxH3knNsJjm7QWWYsXe2vH6pyCkvZeToNrUbDmG6+6FRO9g1Y8SiE5OOQcYZ8tzaktGxFYk4ilwsvE3EmgogzEQS7B/O3Hn/jlo63SGuThRWX6vl67zkW7jhLem7lB2VXBx2dfNxZyjPcULgNjTX/PDUBga7uqt27XslS+/btK/bPnz/PkCFDsLOremppaSl79uypcqw5eXt7o9PpSElJqfJ4SkoKfn7VL+Xh5+dX6/HGrykpKfj7+1c5JiwsrMZY5s+fX6V7Lzs7m8DAQJNeT510dtz00H8BuHY0llBbK+dWjO8wXvmm83R4ryMYLsPt/wSPduoGZ8UMBgNDD20lKauQKaMGVKwbJ6rxaTikpcON70KPaRSXFXMo9RBbE7ay9sxazmad5cXdL/L9qe95MfxFurbqqnbETdK2mFReXXeCc+VL9Xi3cGR6/7aM7+FPV/+W5TOPhwFPqBmmsDCTP46MGDGi2uKTWVlZjBhRe9HE6+Hg4EC/fv2IjKyccaDX64mMjGTw4OpXix88eHCV4wG2bNlScXyHDh3w8/Orckx2djZRUVE1XhPA0dERNze3Kptoxly8oO1AZV9KCNRKo9FwU4gsrFunzARIi6lSMsBB50C4fzjzw+ez5fYtPNH3CVzsXDiadpSZG2by5bEv0RtkfU5zKSwp45W1x5mz9A/OXc7Hu4Ujb9/Wk73zb+aZcaH0bOsuJVqaEZP/pw0GQ7X95JcvX8bV1bKzW+bNm8fixYtZtmwZ0dHRPPzww+Tl5TFnzhwAZs+eXWUA+OOPP87GjRv5z3/+Q0xMDP/+97/5888/efTRRwHljfuJJ57gjTfeICIigmPHjjF79mwCAgKYOnWqRV+LaGKM3W9SQqBOI4z1lmLTqh37KLiqZMBAcPa85umWDi2Z23Mu625dx5j2Y9Ab9Hx48EP+ufWfZBdbZgxlc5KUWcCt/9vDsr1K/bo5Q4PY/vRwZg5sh70kSM1SvbrhAG677TZASTDuu+8+HB0dK54rKyvj6NGjDBkyxPwRXmXGjBmkpaXx8ssvk5ycTFhYGBs3bqwYoJ2QkID2quUAhgwZwooVK3jxxRd5/vnn6dy5Mz///DM9evSoOOaZZ54hLy+PBx98kMzMTIYNG8bGjRtxcpJp+MIEncfA1jeUulilRWDnWPc5zdTQTt7Y6zQkZOQTn55HcOsWaodkfYxJdx1j4HxcfHj/pvdZfXo1b0W9xY7EHdy38T4WjlqIj4t0cTZE9KVs7vtqPynZRbRydeD96b0rlusRzVe96ywZW2+WLVvG9OnTcXZ2rnjOwcGBoKAgHnjgAby91RmpriaL1VkStsNggP+EQG4K3PMzdLRcl3RTMOuLfeyOu8xLk7oxd1gHtcOxLqVF8E4HKMmDh3aCf/2WkTp5+SSPRj5KWkEabVq0YdHoRbRzk/FzpvjzXAb3ffUHuUWldPFtwVdzBtLGw7nuE4XNMmudJYCvvvoKgKCgIJ566imLd7kJYVM0GmXtrsPLlVYBSZZqNSLEh91xl9kemyrJ0l+d36MkSi18wbdnvU/r1qoby8Yv46EtD3Eh5wJ/2/Q3vh7/NQEtAiwYbNNx+EJmRaIU3sGLRbP74+5sr3ZYwkqY3Pn6yiuvSKIkRHWMS5/Iopp1Mi59EnU2g/ziUpWjsTIVC+eOBq1pb9GBLQP5evzXBLsHk5KfwoNbHiS9QApa1eVEUhazv4wit6iUwcGtWPa3gZIoiSoaNFLtxx9/ZPr06QwaNIi+fftW2YRotoJHgEYH6afgyjm1o7FqHVu3oK2nM8Vlevaeuax2ONYlrvbFs+vi7ezN56M/J8A1gPPZ53n4t4fJL8k3Y4BNS3JWIX9b+gfZhaX0b+/JF/f2l1p24homJ0sff/wxc+bMwdfXl0OHDjFw4EBatWrF2bNnGT9+vCViFMI2OHtAYLiyLyUEaqXRaCpal7ZJCYFKGfFKsq3RQfDwBl/Gz9WPxWMW4+XkRUxGDM///ryUFahGfnEpc5f9QUp2EZ19WrBkzgBcHes9OkU0IyYnS//73/9YtGgRCxYswMHBgWeeeYYtW7bwz3/+k6ysLEvEKITtkBIC9WacYbQtRkoIVDD+3LQbpCTf16GdWzs+GvER9lp7IhMiWXhk4fXH14QYDAbmrTrCiaRsWrk6sOS+Abg5SdebqJ7JyVJCQkJFiQBnZ2dycnIAuOeee/juu+/MG50QtqbzGOVr/E4oKVQ3Fis3uGMrHHRaLmYWcCYtV+1wrMPp6+uC+6swnzBeGvQSAJ8d+YztF7ab5bpNwZe/x7PxRDIOOi2LZvcj0MtF7ZCEFTM5WfLz86uo4N2uXTv27dsHKGvGyadD0ez59oCW/lCSD+d3qx2NVXNxsCM82AtQWpeavZJCJckGZXC3mdza+VZmdZ0FwIu7XyQ5r+ZFwpuLgwlXePtXZQH2lyZ1pV97L5UjEtbO5GTp5ptvJiIiAlBqL/3rX/9i9OjRzJgxg1tvvdXsAQphUzQa6DRS2ZeuuDoNNy59ckrGLXH+dygtgJYB4NvdrJee128e3Vp1I6soi2d3PkupvvnOQMzKL+GxFYco1RuY1MufuwdZZj1T0bSYnCwtWrSIF154AYBHHnmEJUuW0LVrV1577TU+++wzswcohM0xdsVJCYE6GZc+2R+fQW5R8/0DDlzVBTdKSbrNyEHnwPs3vo+rvSsHUw+y+Nhis17flvx73QkuZhYQ1MqFt27rWe3yXUL8lcnJUmJiIjpd5bTKmTNn8vHHH/Poo4+SnCzNu0IQPBy0dnA5DjLOqh2NVevg7Uo7LxdKygzsiWvm9YCMybUx2TazQLfAivFLi44sIjYj1iL3sWa/HrvEmkMX0WrggxlhtJQB3aKeTE6WOnToQFrateMLMjIy6NBBKvEKgZM7BA5S9k9LV1xtNBpNlYV1m63LZ5TEWmsPHW6y2G0mdJjAqHajKDWU8uLuFynRl1jsXtYmLaeIF34+DsDDwzvSt921CxQLUROTkyWDwVBts2Vubq4sPiuEUUUJAam3VJfhocq4pR2xqc13koixC67dIHCy3PqSGo2GFwa9gIejBzEZMXxx9AuL3cvavLb+JBl5xXT1d+PxkV3UDkfYmHpX35o3bx6g/LK99NJLuLhUTrMsKysjKiqKsLAwswcohE3qPAZ++zfE74KSArCXxThrMji4FY52WpKyCjmVkkuIX0u1Q2p8Fu6Cu5q3szcvhL/A0zufZtGxRYztMJZg92CL31dN22NTWXckCa0G3ru9Fw52DVq8QjRj9f6JOXToEIcOHcJgMHDs2LGK7w8dOkRMTAy9e/dm6dKlFgxVCBvi002Z1VRaAOekhEBtnOx1DO7YClD+qDU7xflw7ndlvxGSJYCxQWO5se2NlOpL+b99/9ekW/Tyi0t5sbz77W9DO9CjjbvKEQlbVO+WpW3btgFKuYCPPvoINzfLNRULYfM0GqUr7uDXSlecsVtOVGt4l9Zsj01jW2wqD93UUe1wGte5XVBWBO6B0DqkUW6p0WiYP3A++y/tZ3/yfjbEb2BS8KRGuXdj+zgyjsQrBbTxcOZfo6X7TTSMyW2RH374IaWl107xzcjIIDs72yxBCdEkSAmBejPWW/rz3BVyCpvPoGPgqi640WYvGVCbti3b8lDvhwB474/3yCnOabR7N5b49Dy+/F2Zkfrq5O6y7ptoMJOTpZkzZ7Jy5cprHv/++++ZOXOmWYISoknocJNSQiDjrDLbSdQoyNuVDt6ulOoN7G5OJQQMhkYdr/RX93a7lw7uHcgozGDR0UWNfn9Le339SUrKDAwPac2obr5qhyNsmMnJUlRUFCNGjLjm8eHDhxMVFWWWoIRoEpzcoN1gZV+qeddpeHkJge3NqYRA+mnITACdA3S4sdFvb6+z5+n+TwPwbfS3nM8+3+gxWMq22FS2xqRip9Xw0qRuaocjbJzJyVJRUVG13XAlJSUUFBSYJSghmgzjgqjSFVeniqVPYtOa9IDjKow/F+2HgoOrKiHc0PYGhrYZSqm+lP/8+R9VYjC3kjI9r68/CcCcoUF0bN1C5YiErTM5WRo4cCCLFl3bXLtw4UL69etnlqCEaDKMXSvnfldmPYkahXfwwsleS3J2ITHJTW/8TLWMdbhU6IK72jP9n0Gn0bHtwjaiLtl+D8GqPy5wNi2PVq4OPDays9rhiCbA5NFub7zxBqNGjeLIkSOMHKksGBoZGckff/zB5s3y6VmIKlqHgltbyE5UEqYu6v5RtGZO9jqGdPRma0wq22JT6erfxGfcFuXC+T3KvrEFUiXBHsFMD5nOdzHf8d8D/+W7id/Z7JppuUWlfPjbKQD+ObIzbrKkiTADk1uWhg4dyt69e2nbti3ff/8969ato1OnThw9epQbbrjBEjEKYbuMJQRAqnnXg3Hpk+0xzWDcUvxOKCsGzyBo1UntaHio10O42Llw4vIJNp+33Q++i3eeJT23mKBWLtw5sJ3a4YgmokFlTMPCwlixYgUnTpzgzz//ZMmSJXTuLE2dQlTr6hICzWUsTgMZxy0dSLhCVkETLyFw9Sw4K2jFaeXcivu63wfAxwc/tsl149Jyili8SykV8PTYUKnULcymQT9JZ86c4cUXX+Suu+4iNVWpuPvrr79y4sQJswYnRJPQ4UZlgdQr56SEQB0CvVzo2NqVMr2B30834RICBkPlenCd1O2Cu9rs7rPxcvIiISeBNafXqB2Oyf63PY784jJ6t3VnQk8/tcMRTYjJydKOHTvo2bMnUVFRrF69mtzcXACOHDnCK6+8YvYAhbB5ji2h/RBlX7ri6lQ5K64JL32SFqOMY7NzgqBhakdTwdXelYd6KYUqFx1dRHFZscoR1V9SZgHL9yUA8NTYEJsdcyWsk8nJ0nPPPccbb7zBli1bcHBwqHj85ptvZt++fWYNTogmQ0oI1NsIY7J0Kg29vol2Wxp/DoJuAAeX2o9tZNO6TMPH2YeU/BR+jvtZ7XDq7ZNtcRSX6RnYwYthnbzVDkc0MSYnS8eOHePWW2+95nEfHx/S05tws7kQ16OihMBuKM5TNxYrN6CDJy4OOtJyijh5qYkuoWTsglN5Flx1HHWO/K3n3wBYfGwxJWXWP3Yp4XI+3/9xAYAnR3eRViVhdiYnSx4eHly6dOmaxw8dOkSbNm3MEpQQTY53F3BvpyyYGr9L7WismqOdUkIAmmhXXGE2JOxV9jtZ5wLLt3e5ndbOrUnOS2ZNnPWPXfrf9jhK9QZu6OxNeHArtcMRTVCD1oZ79tlnSU5ORqPRoNfr2b17N0899RSzZ8+2RIxC2D4pIWCSEaFNeOmTs9tBXwpeHaFVR7WjqZajzpG5PecC8MWxL6y6dSkps4DVBxMBeFwKUAoLMTlZevPNNwkNDSUwMJDc3Fy6devGjTfeyJAhQ3jxxRctEaMQTYOUEKg34yDvgwlXyMy3nUHG9aLiwrmmmNZ5Gt7O3lzKu8TaM2vVDqdGi3aepaTMQHgHL/oHeakdjmiiTE6WHBwcWLx4MWfOnGH9+vV8++23xMTE8M0336DT6SwRoxBNQ4cblQVTMxOUBVRFjdp4ONPFtwV6A+xqSiUEDIbKRZWtcLzS1ZzsnPhbj/KxS0etc+xSem4RK/9QZsA9erP6hT1F09Xgil3t2rVj/Pjx3HHHHY1SkDIjI4NZs2bh5uaGh4cHc+fOrShbUNPxjz32GCEhITg7O9OuXTv++c9/kpWVVeU4jUZzzbZy5UpLvxzRHDm4KgumgsyKqwdj69K2pjRuKfkY5FwCe5fKnwUrdkeXO2jl1IqkvCQizkSoHc41vvw9nsISPb3aussMOGFRDUqWvvzyS3r06IGTkxNOTk706NGDL774wtyxVTFr1ixOnDjBli1bWL9+PTt37uTBBx+s8fikpCSSkpJ4//33OX78OEuXLmXjxo3MnTv3mmO/+uorLl26VLFNnTrVgq9ENGtdxipfT21UNw4bMLx86ZOdTamEwKlNytfg4WDvpGoo9eFk58ScHnOA8plxVlTVOyu/hG/2ngfgkRGdZAacsCiTF9J9+eWX+eCDD3jssccYPHgwAHv37uVf//oXCQkJvPbaa2YPMjo6mo0bN/LHH3/Qv39/ABYsWMCECRN4//33CQgIuOacHj16sHr16orvO3bsyP/93/9x9913U1paip1d5Uv38PDAz0+qvYpG0GUsbHxOmQ1VkAnOHmpHZLX6t/fC1UFHem4xx5Oy6NXWQ+2Qrt+pX5WvXcapG4cJpodMZ8nxJVzMvcjmc5uZGDxR7ZAAWLb3HLlFpXTxbcHorr5qhyOaOJNblj777DMWL17MW2+9xeTJk5k8eTJvvfUWixYt4n//+58lYmTv3r14eHhUJEoAo0aNQqvVEhUVVe/rZGVl4ebmViVRAnjkkUfw9vZm4MCBLFmyBIMMvhWW4hWslBHQl8KZSLWjsWoOdlqGdTaWEGgCs+JyU+HiAWXfygd3X83Zzpk7Q+8EYOmJpVbx/phXVMqS3fGA0qqk1UqrkrAsk5OlkpKSKkmLUb9+/SgtLTVLUH+VnJyMj49Plcfs7Ozw8vIiOTm5XtdIT0/n9ddfv6br7rXXXuP7779ny5YtTJs2jX/84x8sWLCg1msVFRWRnZ1dZROi3oytCsYuGVGjJjVuyThOzT8M3PxVDcVUM0Nm4mznTExGDPsuqb9Sw4qoBDLzS2jfyoWJPW3r31LYJpOTpXvuuYfPPvvsmscXLVrErFmzTLrWc889V+0A66u3mJgYU0O8RnZ2NhMnTqRbt278+9//rvLcSy+9xNChQ+nTpw/PPvsszzzzDO+9916t13vrrbdwd3ev2AIDA687RtGMGJOl05tBX6ZuLFbOOG7p8IVMMvJsvIRAbHkXXMh4deNoAA8nD6Z2mgoorUtqKi7Vs3jXWQAevqkjdroGz1MSot5MHrMEygDvzZs3M2jQIACioqJISEhg9uzZzJs3r+K4Dz74oNbrPPnkk9x33321HhMcHIyfnx+pqVU/WZaWlpKRkVHnWKOcnBzGjRtHy5YtWbNmDfb29rUeHx4ezuuvv05RURGOjo7VHjN//vwqrzM7O1sSJlF/geHg5AEFV+DCfmg/WO2IrJa/uzOhfi2JSc5he2wqt/Vtq3ZIDVNaBGe2KfvGQf42Zna32ayKXcWepD3EZsQS4hWiShzrjiSRmlOET0tHbu0rq0aIxmFysnT8+HH69u0LwJkzZwDw9vbG29ub48ePVxxXn5kJrVu3pnXr1nUeN3jwYDIzMzlw4AD9+vUDYOvWrej1esLDw2s8Lzs7m7Fjx+Lo6EhERAROTnXPPjl8+DCenp41JkoAjo6OtT4vRK10dkqNnWM/KLPiJFmq1ehuvsQk5/BbdIrtJkvnfoeSPGjhB3691Y6mQdq2bMvo9qPZdG4TS08s5a0b3mr0GAwGA1/8roxVundIEI52UttPNA6Tk6Vt27ZZIo5ade3alXHjxvHAAw+wcOFCSkpKePTRR5k5c2bFTLiLFy8ycuRIvv76awYOHEh2djZjxowhPz+fb7/9tsrYotatW6PT6Vi3bh0pKSkMGjQIJycntmzZwptvvslTTz3V6K9RNDNdxpUnS5tg9KtqR2PVRnb1ZcHWOHaeSqe4VI+DnQ12uxhLRXQZC1objL/cnO5z2HRuExvjN/J438fxc23cWcR7z1wm+lI2zvY6ZoW3a9R7i+bN5N/atLSaZ6UcO3bsuoKpzfLlywkNDWXkyJFMmDCBYcOGsWjRoornS0pKiI2NJT8/H4CDBw8SFRXFsWPH6NSpE/7+/hXbhQvK6tT29vZ8+umnDB48mLCwMD7//HM++OADXnnlFYu9DiEA6DQSNDpIi4Yr59SOxqr1auNO65aO5BaVEhV/We1wTGcwXJUs2U7JgOp09+7OAL8BlBpK+ebkN41+f2Or0u392uLh4tDo9xfNl8nJUs+ePdmwYcM1j7///vsMHDjQLEFVx8vLixUrVpCTk0NWVhZLliyhRYsWFc8HBQVhMBgYPnw4AMOHD8dgMFS7BQUFATBu3DgOHTpETk4Oubm5HD58mIceegitDX/yEzbC2RPalXe/yay4Wmm1Gm4unxUXGW2Ds+LSYpQlbnSOEHyT2tFct/u63wfAj6d+JLu48WYCx6XmsjUmFY0G5gwNarT7CgENSJbmzZvHtGnTePjhhykoKKjo/nr33XdZsWKFJWIUomkKKW9lMM6SEjUa2VVJln6LTrGKOj8mMf7/Bt+kLHlj425ocwOdPDqRX5rPD7E/NNp9jXWVRob6Ety6RR1HC2FeJidLzzzzDHv37mXXrl306tWLXr164ejoyNGjR7n11lstEaMQTZOxS+bc71CUo24sVm5YZ28c7LQkXingVErNa0JaJWPLoY3OgvsrjUbDvd3vBWBl7EpK9Zapr3e1jLxiVh9IBOCBGzpY/H5C/FWD+ps6depEjx49OHfuHNnZ2cyYMUOWCxHCVK06KRW99SWV08pFtVwc7CoWSv0tOkXlaEyQdxkS9yv7nZtGsgQwvsN4vJy8SM5LZmvCVovfb/m+8xSV6unZxp2BHbwsfj8h/srkZGn37t306tWL06dPc/ToUT777DMee+wxZsyYwZUrVywRoxBNk0YDXcoLFMrCunUydsVF2lKyFLcFDHrw7QkeTacWm6POkdu73A7A8ujlFr1XUWkZy8oXzL3/hg6yYK5QhcnJ0s0338yMGTPYt28fXbt25f777+fQoUMkJCTQs2dPS8QoRNNl7Jo5tQn0enVjsXIjQ5XFUg9dyCQ9t0jlaOrp6pIBTcz0LtOx09hxMPUg0ZejLXafdUcukZ5bhJ+bExNkaROhEpOTpc2bN/P2229XqYTdsWNHdu/ezUMPPWTW4IRo8toPAUc3yE+HpINqR2PV/Nyd6NHGDYMBtsbYwKy4shKIK18s2QaXOKmLr6svo9uPBmBFjGUm9xgMBpbuUQZ2zx7SHntZ2kSoxOSfvJtuqn7qq1ar5aWXXrrugIRoVnT2Ss0lkFlx9WBsXbKJrrjze6AoG1y8IaCv2tFYxKxuynqgv5z9hYzCDLNf/2BCJscvZuNgp2XmAClCKdRT72RpwoQJZGVlVXz/9ttvk5mZWfH95cuX6datm1mDE6JZMM6Kk3pLdRrVVUmWdp1Op7DEyhchvnoWXBOt3dbLuxc9WvWgWF/Mj6d+NPv1v957DoDJvQPwcpUilEI99f4N3rRpE0VFleME3nzzTTIyKj9JlJaWEhsba97ohGgOOo0GjRZSjkHmBbWjsWo92rjh6+ZIfnEZ+85aeTXvJlK1uzYajYa7ut4FwKqYVZToS8x27dScQn45dgmA+4YEme26QjREvZOlvxaCs7nCcEJYK9dW0La8+v1paV2qjUajYWRXY1ecFY9bSj8NGWdAaw8dR6gdjUWNDRpLK6dWpBakEnk+0mzX/S7qAiVlBvq286BHG3ezXVeIhmiabcNC2JoQ6Yqrr1FXlRCw2g9txlaloGHg2FLdWCzMQefAjJAZgPnKCJSU6VkepZQLuFdalYQVqHeypNForqlvIfUuhDATY1fN2R1QnKduLFZuSEdvnOy1JGUVcvJS461NZhJj0tsEZ8FV546QO7DT2nE47TAnL5+87uttOpFMak4R3i0cGd9DygUI9dnV90CDwcB9992Ho6MjAIWFhfz973/H1VVZ6+jq8UxCCBO1DgWP9pB5Xqnm3XWS2hFZLSd7HcM6tea36BQio1PpHmBlXTT5GcpMOGiS9ZWq4+3szej2o/k1/le+j/2efw/593Vdb9mecwDcFd4OBzvpABHqq/dP4b333ouPjw/u7u64u7tz9913ExAQUPG9j48Ps2fPtmSsQjRdGg2ETFD2Y39RNxYbMMqaq3mf2gSGMvDtAZ5BakfTaIxdcb/E/0JOccPXOjyRlMUf565gp9UwK1zKBQjrUO+Wpa+++sqScQghQidC1GdKvaWyUtDV+9ez2bm5PFk6kphFanYhPm5OKkd0ldgNytfQierG0cj6+vSlk0cn4jLjiDgTwayusxp0nW/KlzYZ18MPX2v6fxXNmrRvCmEt2g0GZ08oyIAL+9SOxqr5tHSid6AHYGXVvEsKKqt2N7NkSaPRMD1kOgDfx37foMH3Wfkl/Hz4IgCzBweZMzwhroskS0JYC51d5cK6MdIVV5dRoUrr0m/WVELg7HYoyQf3QPDrpXY0je6W4FtwtnPmbNZZ/kz50+TzfzqUSGGJnlC/lgwI8rRAhEI0jCRLQliT0PJxSzHrwVqnxVuJUd2Ueku/x6VRUGwl1bxjyrvgQiYo49CamRYOLZgUrExOWBW7yqRzDQYDy6MSAJgV3k5mWwurIsmSENak481g56TMiks5oXY0Vi3UryWBXs4UlujZcSpN7XBAX1a5vl8z64K7mnGgd+T5SNIL0ut93h/nrhCXmouLg46pfdpYKjwhGkSSJSGsiYOrkjBBZSuFqJZGo2FMNz8ANp9IVjka4MJ+yE8HJ3doP0TtaFQT4hVC79a9KTWU8tPpn+p9nrEI5eTeAbR0srdUeEI0iCRLQlgbY6tErCRLdRnbXUmWfotOoaRMr24wMeuVr13Gga55/7E3ti79cOoHyvR1d5Fezi3i12NKwjsrvL1FYxOiISRZEsLadBmnLKx76YgsrFuHfu09aeXqQHZhKVFnM+o+wVIMhsqWwGbcBWc0JmgMHo4eJOclszNxZ53H/3ggkeIyPb3autOzrZUVGRUCSZaEsD6u3hA4SNmXApW10mk1jC4f6L1Jza64tBi4Eg86R+g4Ur04rISjzpGpnaYCsOpU7QO99XoDK/ZXDuwWwhpJsiSENTK2Thi7dkSNjF1xm08mo9erNIPQ+P8UPBwcW6gTg5WZ3kWpubTn4h4u5NTcQrr7TDrnL+fT0tGOW3oHNFZ4QphEkiUhrJGxhMC53cpaY6JGQzq1ooWjHSnZRRxJzFQnCGNdLOmCqxDoFsjQgKEYMPDDqR9qPG75PqVV6ba+bXBxkKr1wjpJsiSENfIKBp9uyhpjp7eoHY1Vc7TTMTykNQCbTqiwVlzWRUg6CGggZHzj39+KGSt6rzm9hqKyaxdbT8kuZEv5+n53ycBuYcUkWRLCWlV0xa1TNw4bUNEVdyK5QctsXBfjuLK2A6CFT+Pe28rd2PZGfF18ySzKZPO5zdc8//0fFyjTG+jf3pMQv5YqRChE/UiyJIS1ClUqIRMXCcV56sZi5YaHtMZBp+Vseh5xqbmNe/OTa5Wv3SY37n1tgJ3Wjtu73A4o68VdrUxv4DvjwO5BMrBbWDdJloSwVv69waO9stZY3G9qR2PVWjrZM7RTK6CRZ8XlpcP53cp+V0mWqjOt8zTsNHYcTjvMqSunKh7fHptKUlYhHi72jO/hr2KEQtRNkiUhrJVGU9laYWy9EDUydsU16rilmPVg0IN/GHjKmJvqtHZpzYh2IwD4IbZyoLdxHbg7+rXFyV6nSmxC1JckS0JYs25Tla+nNkFJoaqhWLtR3XzRaODYxSwuZhY0zk0ruuCmNM79bNQdXe4AYN3ZdeSX5JN4JZ9tsakA3DlQuuCE9bOZZCkjI4NZs2bh5uaGh4cHc+fOJTe39rEJw4cPR6PRVNn+/ve/VzkmISGBiRMn4uLigo+PD08//TSlpaWWfClC1F+bfuDWFopz4cxWtaOxat4tHBnQ3guATccboSsuPwPiy6tTS7JUq3D/cNq1bEdeSR6/xv/Kyv0XMBhgaKdWBLeWulTC+tlMsjRr1ixOnDjBli1bWL9+PTt37uTBBx+s87wHHniAS5cuVWzvvvtuxXNlZWVMnDiR4uJi9uzZw7Jly1i6dCkvv/yyJV+KEPWn0UDXW5R96Yqr07geSlfcL8cuWf5msb+CvhR8e0Crjpa/nw3TarQVrUurYr9n5R9KkUpZB07YCptIlqKjo9m4cSNffPEF4eHhDBs2jAULFrBy5UqSkpJqPdfFxQU/P7+Kzc3NreK5zZs3c/LkSb799lvCwsIYP348r7/+Op9++inFxcWWfllC1I+x1SL2VyiVn8vajO+pJEt/nr9CcpaFuy2NyasM7K6XKZ2mYK+1JzrjJBmlZ2jd0rFiqRohrJ1NJEt79+7Fw8OD/v37Vzw2atQotFotUVFRtZ67fPlyvL296dGjB/Pnzyc/P7/KdXv27Imvb+Uv7NixY8nOzubEiRPmfyFCNERgOLTwg6IsiN+hdjRWzd/dmX7tPQH49bgFW5cKs+DsNmVfuuDqxdPJkzFBYwCw99zH9P5tsdfZxJ8gIWwjWUpOTsbHp2qxNzs7O7y8vEhOrnlswl133cW3337Ltm3bmD9/Pt988w133313letenSgBFd/Xdt2ioiKys7OrbEJYjFYLXctrLp38WdVQbMHEnso0dIt2xZ3aBGXF4B0CPqGWu08TM8xX6VK2dzvCLWFeKkcjRP2pmiw999xz1wzA/usWExPT4Os/+OCDjB07lp49ezJr1iy+/vpr1qxZw5kzZ64r7rfeegt3d/eKLTAw8LquJ0SdjK0XMRugrETdWKxco3TFSSHKBjly2pOyIh802hIOXYlUOxwh6k3VZOnJJ58kOjq61i04OBg/Pz9SU1OrnFtaWkpGRgZ+fn71vl94eDgAcXFxAPj5+ZGSUrUmi/H72q47f/58srKyKrYLF2peUVsIs2g3BFy8oeAKnPtd7WismrErzmCwUFdcUW5lkVDpgqu3wpIyfjyQSMkV5X34+9jvG39pGiEaSNVkqXXr1oSGhta6OTg4MHjwYDIzMzlw4EDFuVu3bkWv11ckQPVx+PBhAPz9lWb6wYMHc+zYsSqJ2JYtW3Bzc6Nbt241XsfR0RE3N7cqmxAWpbO7qitOZsXVZYIlu+LitkBpIXh2UGbCiXrZeDyZK/kleBsG46RzIi4zjsNph9UOS4h6sYkxS127dmXcuHE88MAD7N+/n927d/Poo48yc+ZMAgICALh48SKhoaHs378fgDNnzvD6669z4MABzp07R0REBLNnz+bGG2+kV69eAIwZM4Zu3bpxzz33cOTIETZt2sSLL77II488gqOjo2qvV4hqGWddxawHfZm6sVi5CVd1xaVkm7kr7upClBqNea/dhC2POg/AnQNCGd9hPHDtenFCWCubSJZAmdUWGhrKyJEjmTBhAsOGDWPRokUVz5eUlBAbG1sx283BwYHffvuNMWPGEBoaypNPPsm0adNYt65yBXedTsf69evR6XQMHjyYu+++m9mzZ/Paa681+usTok4dbgQnD8hLq1yPTFSrSlecOVuXivOUwd0g45VMcColhz/OXUGn1TBjQCDTQ6YDsPncZq4UXlE5OiHqZqd2APXl5eXFihUranw+KCioSv93YGAgO3bUPc26ffv2/PLLL2aJUQiL0tkrBSoPfQPHf1KSJ1GjCT39OXD+Cr8cS+a+oR3Mc9FTG5WFjT2DIKCvea7ZDKwoXwduVFcffN2c8DF0p6tXV6Izook4E8G93e9VOUIhamczLUtCCKDHNOXrybUyK64Oxq64P85nmK8r7thq5WuPadIFV0/5xaWsPpgIVFbs1mg03BGiVPT+4dQPMtBbWD1JloSwJR1uBFcfKMiAM9vUjsaq+bs707edh/m64goylcHdAD1uv/7rNRPrjiSRU1hKOy8XhnXyrnh8QocJuNq7cj77PPuT96sYoRB1k2RJCFui1UH3W5X94z+qG4sNmNhLmQDyyzEzLKwbs14pROnTDXxrni0rKhkMBr7ZpwzsnhXeDq22sjXO1d6VScHKDE8Z6C2snSRLQtianuWtGjEboKRA3Vis3ISefmg0sP9cBkmZ1/lvdaw8Oe1x2/UH1kwcSczi+MVsHOy03NH/2uK9xsV1tyZsJb0gvbHDE6LeJFkSwta0HQDu7aA4t3JmlqiWv7szA4OUZTUijtS+6HatctMq1+UzjhsTdfq2vFVpYk9/vFwdrnk+xCuE3q17U2ooZc3pNY0dnhD1JsmSELZGo6ls3ZCuuDpNCWsDwM+HLjb8Iid/BoNemQHnFWyewJq4zPxi1pUnqHcPalfjccYyAj+e+pEyqR8mrJQkS0LYImNX3KnNUJilbixWbkJPP+x1GmKSc4hNzmnYRYxdcD1lYHd9/XggkaJSPV393ejbzrPG48a0H4ObgxtJeUnsTpL6YcI6SbIkhC3y7QHeXaCsCGKkTlhtPFwcGB7iA8Daww1oXcq8ABf2AZrKwfWiVnq9geXltZXuHtQOTS1lFpzsnJjcUSnw+cOpHxolPiFMJcmSELZIo6mcvi5dcXWaWt4Vt/ZwEnq9iTV9TvykfG0/FNwCzBxZ07TnzGXi0/No4WhX8W9fG2PNpZ2JO0nOM8PMRSHMTJIlIWyVsUvozDbIk5lEtRnZ1YcWjnZczCzgQIKJy2scLy9E2VMGdteXcWD3rX3a4OpY90IRwe7BDPAbgN6gZ/Xp1ZYOTwiTSbIkhK1q1RH8w8BQpgxAFjVystcxtrtS0dukgd7pcXDpCGjtoOsUC0XXtCRnFbIlOgWAuwe1r/d507soA71Xn1pNiV6q0wvrIsmSELbMOI39mHTF1WVqH6ULbcOxSxSX6ut30tFVytfgEeDaykKRNS0r/0igTG9gYJAXIX4t633eyHYj8XLyIq0gjZ0XdlowQiFMJ8mSELas5+2g0ULCXsg4q3Y0Vm1wcCu8WziSmV/CrtNpdZ+g18ORlcp+75mWDa6JKC3Ts3L/BQBm1VIuoDr2Ontu7aQMoP/+lFT0FtZFkiUhbJlbAAQPV/aNf9hFtex0Wm7p7Q/Az4frUaDy/G7ISgBHNwidaOHomobfolNJzi6klasD43r4mXz+tC7T0KBhT9IeErITLBChEA0jyZIQti5slvL1yHdKa4iokXFm1paTyeQWldZ+8JHvlK/dbwV7ZwtH1jQYB3ZPHxCIo53O5PMDWwYytM1QAFbGSvIvrIckS0LYutCJSutHZoLSGiJq1KutOx28XSks0bPpeC1T1Ity4cTPyn7YXY0Sm62LT8/j97h0NBq4a6BpXXBXuzP0TgB+Pv0z+SX55gpPiOsiyZIQts7eGbpPVfaNrSGiWhqNhlv7KK1LPx5IrPnA6HVQkqcsbRIY3kjR2bbl5a1KI0J8CPRyafB1hrUZRmDLQHJKctgQv8Fc4QlxXSRZEqIpMHbFnfhZaRURNZrWry0aDew9e5mEyzW0XBxZoXztfadSAFTUqqC4jB/Kk8/a1oGrD61Gy8wQZUD9iugVGAwmFhEVwgIkWRKiKQgMV1pBSvKUVhFRozYezgzr5A3AjwcuXHtA5gWI36Xs95rRiJHZrp8PXySroIRAL2du6uJz3deb2nkqznbOxGXG8WfKn2aIUIjrI8mSEE2BRgO9y8fWGFtFRI2m9w8ElK64sr8uf3J0JWCAoBvAs/5FFZsrg8HA0t3nALh3cBA67fW3xLk5uDEpeBIA38VI17JQnyRLQjQVvctbQeJ3KoO9RY1Gd/PF3dmepKxCdsddtVSMwQCHy/84y8Duetl79jKxKTm4OOi4ozwJNYeZoUpX3NaErbJenFCdJEtCNBUe7ZTWEIAjq9SNxco52euYGqZU9P7+z6u64i7sh4wzYO8KXSerFJ1tMbYqTevbFndne7Ndt4tnFwb4DaDMUMb3sVKkUqhLkiUhmpKKmksrlFYSUSNjK8jmEylk5hcrDxq7MLtNBscWKkVmOy5k5PNb+Tpw9w4xf5elsYzA6tOrKS4rNvv1hagvSZaEaEq63qK0imScVZZAETXq0cadbv5uFJfpWXs4CYrz4PhPypO971Q3OBvx9d5z6A1wQ2dvOvnUfx24+hoROAJfF18yCjPYdG6T2a8vRH1JsiREU+LYAnrcpuwfWKpqKLZgev+2QHlX3PHVUJQNnh0quzNFjfKKSln5h9KFOWdokEXuYae1Y0aIMhbvm5PfSBkBoRpJloRoavr/Tfl6Yg3kXVY3Fis3JawNDjotJ5Kyyd+zWHmw/xzQyltjXdYcukhOYSntW7kw3AzlAmpye5fbcdQ5Ep0RzYGUAxa7jxC1kXcEIZqaNn3BPwzKiuHwcrWjsWqerg6M7u5LD81ZXNKPgs6hctyXqJHBYGDpnnOAUi5Aa4ZyATXxdPJkckdlsP3XJ7+22H2EqI0kS0I0RcbWpQNfyeK6dZjeP5C7dJEAlIZOBldvlSOyfr/HpROXmourg447yrsyLenubncDsP3Cds5nn7f4/YT4K0mWhGiKekxTFtfNOAvxO9SOxqoNa2vPVDtlMPzOlpNUjsY2LN4VD8Dt/drS0sl85QJqEuwezI1tb8SAgW9OfmPx+wnxV5IsCdEUObaoXKrjzyXqxmLldMd/wIVCTuvb8H5MKxlEXIfoS9nsPJWGVgNzhwU32n1nd5sNwNq4tWQVZTXafYUASZaEaLr6z1G+xmyA7EvqxmKtDAb48ysAVhlGcTI5h4MJV1QOyrot3nkWgPE9/GnXyqXR7jvQbyAhniEUlhXyw6kfGu2+QoANJUsZGRnMmjULNzc3PDw8mDt3Lrm5Na+ufu7cOTQaTbXbDz9U/qJV9/zKlSsb4yUJYVm+3SFwEBjK4NC3akdjnRL/gNQTYOdMcffpAHy9V8bE1CQps4CII0kAPHhj47UqgfJePbu70rq0InoFJWUljXp/0bzZTLI0a9YsTpw4wZYtW1i/fj07d+7kwQcfrPH4wMBALl26VGV79dVXadGiBePHj69y7FdffVXluKlTp1r41QjRSCoGei8FfZmqoVglYxdlj2lMv6EnAL8cu0RaTpGKQVmvr3bHU6o3EN7Bi96BHo1+//FB42nt3Jq0gjQ2ntvY6PcXzZdNJEvR0dFs3LiRL774gvDwcIYNG8aCBQtYuXIlSUlJ1Z6j0+nw8/Orsq1Zs4bp06fTokXVZQw8PDyqHOfk5NQYL0sIy+s2BZw9ITsRTm9ROxrrkp9RWbG7/xx6tHGnbzsPSsoMrNwvCxH/VXZhCd/tV4pQPnRT47YqGdnr7CuWQPn65Ncyvkw0GptIlvbu3YuHhwf9+/eveGzUqFFotVqioqLqdY0DBw5w+PBh5s6de81zjzzyCN7e3gwcOJAlS5bIL6BoOuydKusG/fGFurFYm8PLoawI/HpCm34AzB4cBMDyqARKy6TkwtVWRCWQW1RKZ58WFi1CWZc7utyBk86JmIwY9ibJkj6icdhEspScnIyPT9VfTjs7O7y8vEhOTq7XNb788ku6du3KkCFDqjz+2muv8f3337NlyxamTZvGP/7xDxYsWFDrtYqKisjOzq6yCWG1+v8N0EDcFkg/rXY01qGsFKIWKfsDHgCNUlRxfE8/vFs4kJxdyJaTKSoGaF2KS/V8tVspF/DAjcEWLUJZFw8nD6Z1mQbAomOLVItDNC+qJkvPPfdcjYOwjVtMTMx136egoIAVK1ZU26r00ksvMXToUPr06cOzzz7LM888w3vvvVfr9d566y3c3d0rtsDAwOuOUQiLadURuoxT9qMWqhuLtYjdAFkJ4NIKek2veNjRTsedA9sBsGzvOZWCsz5rD18kJbsIn5aOTAkLUDsc7ut+H3ZaOw6kHOBgykG1wxHNgKrJ0pNPPkl0dHStW3BwMH5+fqSmplY5t7S0lIyMDPz8/Oq8z48//kh+fj6zZ8+u89jw8HASExMpKqp5gOf8+fPJysqq2C5cuFD3ixVCTYP/oXw9vEIZq9Pc7ftM+dr/b2DvXOWpu8LbodNq2Hc2g9jkHBWCsy56vYHFu5RyAXOGdsDRTqdyRODn6seUjlMAWHxsscrRiOZA1WSpdevWhIaG1ro5ODgwePBgMjMzOXCgchHFrVu3otfrCQ8Pr/M+X375JZMnT6Z169Z1Hnv48GE8PT1xdHSs8RhHR0fc3NyqbEJYtaAbwLcHlOTDwWa+vtbFg5CwF7T2MOD+a572d3dmTDdfAJb8Ht/Y0VmdzSeTOZWSSwtHO+4Kb6d2OBX+1uNvaDVafr/4Oycvn1Q7HNHE2cSYpa5duzJu3DgeeOAB9u/fz+7du3n00UeZOXMmAQFKk/DFixcJDQ1l//79Vc6Ni4tj586d3H//tW+K69at44svvuD48ePExcXx2Wef8eabb/LYY481yusSotFoNDCovHVp/yJozjVq9v1P+dpjGrSsvmX6/hs6ALDm0EVScwobKzKro9cb+CgyDoA5Q4Nwd7b80ib11c6tHeOClO7lL47J5AVhWTaRLAEsX76c0NBQRo4cyYQJExg2bBiLFlUO7ispKSE2Npb8/Pwq5y1ZsoS2bdsyZsyYa65pb2/Pp59+yuDBgwkLC+Pzzz/ngw8+4JVXXrH46xGi0fW8HVx9IPsiHF+tdjTquHK+slyAsWuyGv3ae9GvvSfFZXqW7TnXOLFZoc0nU4i+lE0LRzvmDuugdjjXuL+n8iH4t/O/cTbzrMrRiKZMY5B58tctOzsbd3d3srKypEtOWLdd/4HI18CnGzy8p2IWWLPxyzOw/3MIHgGzf6710I3Hk/n7twdwd7Znz3M34+po1zgxWgmDwcDEj3/n5KVsHhnRkafHhqodUrUe3/o4Wy9s5ZbgW3jzhjfVDkfYmPr+/baZliUhhBn0nwsOLSH1JJze/P/t3XlYlPXex/H3wLDLIiKb4oIkiAtuSSiGpmZpGi3uayc1TTuPmZWmSebWKSvTo3mOJ9OeU2qaW8pjuWaKuSCjpLgQ7opoyiIoCHM/f4xOUToxODM3A9/XdXFdMzf38vmKDl9/9/JTO41t5f/62/VasWP/cvUukQHU9/Mg5+ZtVuyvejdxbD56maOXcvFwdmSYDSfMNdeIZoaZHBJPJXIur+r9nIRtSLMkRFXi5gOthxpe75qjYhAV7Ps3FN+EoCioH/eXqzs6aIzXLv3nxwyKiqvOQyoVReGTrYZncg1pW4/qHs4qJ7q/xn6NaRvclhKlhM9SP1M7jqikpFkSoqp55GXDnWBnk+DsT2qnsY3CPMPpN4B2Y8t8+vG5lrUJ8HLhYs4tVh88b718FczWtCyOXMzF3dmRYe0r7qjSXS81ewmAdenrZHRJWIU0S0JUNV7B0NwwvxY//EPdLLay/z9w8zrUCDPMl1dGrk6OjHi0AQALdvxSJaZA+eOokm8FHlW6q2VAS9oFt6NYKWbhIXnwqrA8aZaEqIpix4GDFn7ZBuf2q53GugpvQNKdKYwefR0czHuoYr82IdTwcObstQLWH7r3xN2VybZjWaReyMHd2ZHhdjCqdNeYFmMA2JCxgYwcuTNOWJY0S0JURb71Iaqv4fUP76mbxdoOfAYFv4JvKDR53uzN3Z21vHjn2qV/bk+v1KNLJXqFD747DsCgmLp2Map0VxO/JnQM6Yhe0bNAt0DtOKKSkWZJiKqq/XjQOEL6Fjh/QO001lGU/9uoUvvx4Fi+2/8HPVIXH3cnMq7ks1ZXeUeX1ukucCwzDy9XLaPiGqgdx2yjm49Gg4bvTn/HkatH1I4jKhFploSoqn4/urRturpZrGXvQsi/AtXrlZow11yerk6MvNM8zNlyolLeGVdYXMKH358AYFSHMHzc7WdU6a5w33CeCn0KgA+TP0QeIygsRZolIaqyuDcMd8ZlbIeMHWqnsayCa7DrE8PrjpPA8cGm6hgSU4+ani6cv36TFQcq3x1X//3pLBeybxLo5coL7eqpHafcxrQYg7ODM/sz9/PjhR/VjiMqCWmWhKjKqteD1n8zvN4yFSrT/8R3z4HCHMMEwuW4VumP3JwdGdMxDIB5W09ys6jkgfdZUVzPL2LunTvgxnZ+CFcn8y6Cr0iCqwXTv1F/AD5O/pgSfeX5OQn1SLMkRFX36Hhw8oCLByFtvdppLCP3Iuy981ylTlPAwTIfdX3bhFDLx42svEIW7z5lkX1WBHO2nCDn5m0iAj3p1TpE7TgPbFjTYXg5e5Genc43J6voPIjCoqRZEqKqq+YPbQ23XbNlKhQXqZvHErZNh+JbEPIIPPTnSbTLy0XryBtPhAOwYHs6WXm3LLZvtZy8nMd/954FYMpTkTg62P98gd4u3rzc3DBR8ryUeeQU5qicSNg7aZaEEBAzBjz84dovvz3p2l5dOAi6Lw2vu86w+GTBPZoFE1Xbm/yiEj7efNKi+7Y1RVGYtjGNEr3C45EBtA3zUzuSxfQJ70OYTxjZhdnyKAHxwKRZEkKAq5fhdBXAD+/DjSvq5ikvRYFNEw2vm/WB2q0tfggHBw2Tn4oEYMX+sxzLzLX4MWzluyOZ7DxxBWdHByZ1b6R2HIvSOmh5s82bAKw4voKT1+27sRXqkmZJCGHQfAAENYfCXNg2Te005XNkNZz7CZzcofM7VjvMw/V8ebJJIHoFpqw7Ype3qN8oLOad9UcBGBkXSt0aHionsrxHgh6hc53OlCglvLvnXfRK5Xvkg7ANaZaEEAYODvDEnad5H/zC/h5UeSsXvptkeB37qmEOPCua1L0Rbk6O7Dt1jTUpF6x6LGv4ePMJMnNvUbeGOy/fucuvMnqzzZu4ad3QXdHJxd6i3KRZEkL8pm4MNOsLKPDt/0DJbbUTld22aZB3yTCtSdu/W/1wtau78/dODwEwMzGNnAL7+bP6+UIOS5JOA/Du003s+lEBfyXQI5BXWrwCwMcHPubqzasqJxL2SJolIURpXWeAmy9c/hn2zFc7TdmcT4Z9iwyvn/oYnFxtctgXY+sT5l+NqzeK+Md3x2xyzAdVVKxn/MpDlOgVnmoWRFzDmmpHsrr+Ef2JrBFJ3u08Zu6daZenTYW6pFkSQpTm4QeP35n+ZMd7cK2Cz+BeXATf/h1QDKNioR1sdmhnrQPT45sA8NXes+w6WfFHLeZtO8mxzDxqeDgztWdjtePYhKODI+/EvINWo2Xzmc0knkpUO5KwM9IsCSH+rHl/qP8oFN+ENSOhIj8FeccswyiYm69hVMzGHgmtweCYugC8+c1h8m5V3NNxh89ns2DHLwBMj29CjWouKieynUY1GvFS1EsAzNg7g8v5l1VOJOyJNEtCiD/TaKDnP8HZE87tNUwdUhGd/V22HnMMo2IqePOJCOr4unMh+yYzNqapkuGv3Cgs5u/LUoyn355sGqR2JJsb1nQYTWo0Ia8oj7d3vy13x4kyk2ZJCHFv1etCt/cNr7fPgkuH1M3zR4V5sOYlUPSG02+RT6sWxcNFywfPNwNg+f5zbDh8UbUs96IoCpPXpHL61wKCvV2Npw6rGq2DlhntZ+Dq6MqeS3tY/PNitSMJOyHNkhDi/qL6QcRToL8NXw+Bm9lqJzJQFFg3Bq6fAq/a8OQ/1E5EdGgNRnVoAMDEb1I582u+yol+syr5PGt1F3F00DC3Xwt83J3VjqSaUO9Q3op+CzBMhbI/c7/KiYQ9kGZJCHF/Gg30nAfedQyNydpRoK8Apy72LoSja8FBC70+BzcftRMB8FqXhrSuW528wmLGfJXCrdvqX+t16Fw2k9b+DMC4Lg1pXc9X5UTqiw+Lp2eDnugVPW/ufJOsgiy1I4kKTpolIYRp7r7Qeyk4OsPxRNj1kbp5Tu+G7ycbXnedCSFt1M3zO1pHhzsjN06kXshhwjeHVb1N/XLuLUb87wGKivV0ivBnZFwD1bJUJBqNhknRkwjzCePKzSu8su0VCm4XqB1LVGDSLAkh/lqtltDtA8PrbdMgdZU6Oa6cgOX9QV8MTZ6DNiPUyWFCsI8bC/q3ROugYa3uIv/clq5KjvzCYkZ8cYDLuYU0DKjGnL7NcXSw7KTC9szdyZ25j82lukt1jv56lEm7JskF3+K+pFkSQpRNyyEQPcrweu0oOL3Ltse/kQVfPge3sqH2w4a79TQV85d/2zA/pt25iPrDzSdYffC8TY9fWFzCyP8mc+h8Dj7uTiwa3BpPVyebZrAHIZ4hzOk4BycHJ7ac3cKsvbPkgZXinqRZEkKUjUZjeI5Ro55QUgTL+ttu/rgbV+CLeMg+C9XrQ7/l4Oxum2OXU782dRjevj4A41ce4ttDtrlDrrhEz/8s0/Hjyau4Ozvy+dCHK+UkuZbSMqAl09pNQ4OG5ceX8+GBD6VhEn8izZIQouwcHOHZRVA3FgpzDA3MmT3WPeaNLFj6FGQdgWoBMPAb1Z6nZK6JTzai78Mh6BUYu0JHYuolqx7v1u0SRv73IJuOZOLs6MCiwa1pUae6VY9ZGXQP7c6UmCkALD26lI+SP5JTcqIUaZaEEOZxcoUBX0O99lCUB/99Do5ZafqIqydh8RNw5Rh4BsHQRKhhPxcpOzhomPFMU55tUYsSvcLorw7y2a5TVjlWzs3bDF68jy1pl3HROvDpwJa0C7OPprIieL7h80xsMxGAJUeWMPHHiRSVFKmcSlQU0iwJIczn7AH9v4YGneB2vuGi650fGJ5/ZCnpW2FRJ7j2C3iHwNCN4Bdmuf3biKODhvefb8aA6DooCkzbcJS31/5s0ccKHLmYQ89/7mLfqWt4umj54m9t6NQowGL7ryr6N+rP9HbT0Wq0JJ5KZPj3w8nMz1Q7lqgA7KZZmjFjBm3btsXd3R0fH58ybaMoClOmTCEoKAg3Nzc6d+7MyZMnS61z7do1BgwYgJeXFz4+Prz44ovcuHHDChUIUck4u0P/FfDwMECBbdMNo0zZ5x5sv0UFsOktw74KcyAkGoZvs6sRpT/SOhom3J34ZAQA//vTGeLn7+Z4Zt4D7bdEr7A06TTPLEjizK8F1PJxY/lLjxAdWsMSsaukp8OeZn7n+Xg4eXAw6yDPf/s8W89sVTuWUJndNEtFRUX06tWLUaNGlXmb999/n7lz57Jw4UL27t2Lh4cHXbt25datW8Z1BgwYwJEjR9i8eTMbNmxg586djBhR8W5HFqJCcnSC7h/CU3PA0QV+2QoLHoGkeYamxxx6PRxdDwvbwU/zAQVaDYUh30I1fyuEty2NRsNLcQ1YPLQ1NTycOZaZR495u5i24SjX880/3ZN85jrx83eTsP4IRcV6HovwZ+PfY2kc7G2F9FVL2+C2fP3U1zSu0ZicwhzG7hjLqC2jyMjOUDuaUIlGsbPL/pcsWcLYsWPJzs42uZ6iKAQHB/Paa68xfvx4AHJycggICGDJkiX07duXtLQ0IiMj2b9/P61btwZg06ZNdOvWjfPnzxMcHFymTLm5uXh7e5OTk4OXl9cD1SeE3bp6EtaNNky8C+BRE9q8BE2eNT0qVHAN0r6Fff+Gy4YnTeMZDD3nwkNdrJ9bBVfyCpnwzWG2HjM8OdrTVcvzrWrTq1UIkcH3/wzJLyzmhxNX+Hz3Kfafvm7c9vWu4QyMrouDPEfJom6X3Ga+bj5LjyylWCnGUeNIXO04eof3JjooGq2DVu2I4gGV9fd3pW2WMjIyaNCgASkpKTRv3ty4PC4ujubNm/PJJ5+wePFiXnvtNa5fv278fnFxMa6urqxcuZJnnnmmTJmkWRLiDn0J6L6EnbMh+8xvy/3CIbAp+D1keBK4UmJ4DEBWGlw4aHgP4OIF0SOh7RhwrdwjJIqisPPkVWYlpnHsd6fjgr1daV7Hh/p+Hni4aFEUyMy5RXrWDZLPXKeoxHCXltZBw7Mta/F61whqerqoVUaVcDrnNB8lf8T2c9uNyzycPIiqGUWYTxg+Lj54OHmgqaDP/aosuod2x8vZsr9jy/r7u9K2xZmZhovyAgJKX+QYEBBg/F5mZib+/qWH97VaLb6+vsZ17qWwsJDCwkLj+9zcXEvFFsK+OThCy8GGCXh//gYOr4BTO+HqccPX/QQ2hcbPGk67uVeNucs0Gg1xDWsSG+bHzhNXWJl8js1HL3Mx5xYXU+//+VO7uhs9o4IZHFOPQG9XGyauuup512PuY3NJv57OqpOr+PaXb8ktyiXpYhJJF5PUjldlxATFWLxZKitVm6UJEybwj3+Yni08LS2NiIgIGyUqm1mzZjF16lS1YwhRcTk6QVRfw1fBNTj7k6FZunbKMPqkwfAoAP9GENwCfEPVTqwaRwcNHSP86RjhT35hMYfP56A7l01mzk3yi0pQFAjydqVWdTei6/tS309GMNQSVj2MCW0m8Hrr10nPTif5cjKZ+ZlcL7wuc8vZgLuTeg+iVbVZeu211xg6dKjJdUJDy/chGhgYCMDly5cJCgoyLr98+bLxtFxgYCBZWaVnmy4uLubatWvG7e9l4sSJjBs3zvg+NzeXkJCQcuUUotJz94WIbkA3tZNUeB4uWmIa1CCmgdzNVpE5OjgS7htOuG+42lGEjajaLNWsWZOaNWtaZd/169cnMDCQrVu3Gpuj3Nxc9u7da7yjLiYmhuzsbJKTk2nVqhUA27ZtQ6/XEx0dfd99u7i44OIi1wgIIYQQVYHdPDrg7Nmz6HQ6zp49S0lJCTqdDp1OV+qZSBEREaxZswYwXA8wduxYpk+fzvr160lNTWXw4MEEBwcTHx8PQKNGjXjiiScYPnw4+/btY/fu3YwZM4a+ffuW+U44IYQQQlRudnOB95QpU1i6dKnxfYsWLQDYvn07HTp0AOD48ePk5OQY13njjTfIz89nxIgRZGdnExsby6ZNm3B1/e2iyC+//JIxY8bQqVMnHBwceO6555g7d65tihJCCCFEhWd3jw6oiOTRAUIIIYT9Kevvb7s5DSeEEEIIoQZploQQQgghTJBmSQghhBDCBGmWhBBCCCFMkGZJCCGEEMIEaZaEEEIIIUyQZkkIIYQQwgRploQQQgghTJBmSQghhBDCBLuZ7qQiu/sQ9NzcXJWTCCGEEKKs7v7e/qvJTKRZsoC8vDwAQkJCVE4ihBBCCHPl5eXh7e193+/L3HAWoNfruXjxIp6enmg0GovtNzc3l5CQEM6dO1cl5pyTeiu/qlaz1Fu5Sb32T1EU8vLyCA4OxsHh/lcmyciSBTg4OFC7dm2r7d/Ly6vS/MUsC6m38qtqNUu9lZvUa99MjSjdJRd4CyGEEEKYIM2SEEIIIYQJ0ixVYC4uLiQkJODi4qJ2FJuQeiu/qlaz1Fu5Sb1Vh1zgLYQQQghhgowsCSGEEEKYIM2SEEIIIYQJ0iwJIYQQQpggzZIQQgghhAnSLKls/vz51KtXD1dXV6Kjo9m3b5/J9VeuXElERASurq40bdqUxMREGyW1DHPqXbRoEe3bt6d69epUr16dzp07/+WfT0Vj7s/3ruXLl6PRaIiPj7duQAszt97s7GxGjx5NUFAQLi4uNGzYsFL/nQaYM2cO4eHhuLm5ERISwquvvsqtW7dslLb8du7cSY8ePQgODkaj0bB27dq/3GbHjh20bNkSFxcXwsLCWLJkidVzWoq59a5evZouXbpQs2ZNvLy8iImJ4bvvvrNNWAspz8/4rt27d6PVamnevLnV8qlJmiUVrVixgnHjxpGQkMDBgweJioqia9euZGVl3XP9pKQk+vXrx4svvkhKSgrx8fHEx8fz888/2zh5+Zhb744dO+jXrx/bt29nz549hISE8Pjjj3PhwgUbJy8fc+u96/Tp04wfP5727dvbKKllmFtvUVERXbp04fTp06xatYrjx4+zaNEiatWqZePk5WduzV999RUTJkwgISGBtLQ0PvvsM1asWMFbb71l4+Tmy8/PJyoqivnz55dp/VOnTtG9e3c6duyITqdj7NixDBs2zG4aCHPr3blzJ126dCExMZHk5GQ6duxIjx49SElJsXJSyzG35ruys7MZPHgwnTp1slKyCkARqmnTpo0yevRo4/uSkhIlODhYmTVr1j3X7927t9K9e/dSy6Kjo5WXXnrJqjktxdx6/6i4uFjx9PRUli5daq2IFlWeeouLi5W2bdsq//nPf5QhQ4YoTz/9tA2SWoa59X766adKaGioUlRUZKuIFmduzaNHj1Yee+yxUsvGjRuntGvXzqo5LQ1Q1qxZY3KdN954Q2ncuHGpZX369FG6du1qxWTWUZZ67yUyMlKZOnWq5QPZgDk19+nTR5k8ebKSkJCgREVFWTWXWmRkSSVFRUUkJyfTuXNn4zIHBwc6d+7Mnj177rnNnj17Sq0P0LVr1/uuX5GUp94/Kigo4Pbt2/j6+lorpsWUt953330Xf39/XnzxRVvEtJjy1Lt+/XpiYmIYPXo0AQEBNGnShJkzZ1JSUmKr2A+kPDW3bduW5ORk46m6jIwMEhMT6datm00y25I9f15Zgl6vJy8vzy4+rx7E559/TkZGBgkJCWpHsSqZSFclV69epaSkhICAgFLLAwICOHbs2D23yczMvOf6mZmZVstpKeWp94/efPNNgoOD//QBXBGVp95du3bx2WefodPpbJDQsspTb0ZGBtu2bWPAgAEkJiaSnp7Oyy+/zO3bt+3ig7c8Nffv35+rV68SGxuLoigUFxczcuRIuzgNZ677fV7l5uZy8+ZN3NzcVEpmG7Nnz+bGjRv07t1b7ShWc/LkSSZMmMCPP/6IVlu52wkZWRJ24b333mP58uWsWbMGV1dXteNYXF5eHoMGDWLRokX4+fmpHccm9Ho9/v7+/Pvf/6ZVq1b06dOHSZMmsXDhQrWjWc2OHTuYOXMmCxYs4ODBg6xevZqNGzcybdo0taMJC/rqq6+YOnUqX3/9Nf7+/mrHsYqSkhL69+/P1KlTadiwodpxrK5yt4IVmJ+fH46Ojly+fLnU8suXLxMYGHjPbQIDA81avyIpT713zZ49m/fee48tW7bQrFkza8a0GHPr/eWXXzh9+jQ9evQwLtPr9QBotVqOHz9OgwYNrBv6AZTn5xsUFISTkxOOjo7GZY0aNSIzM5OioiKcnZ2tmvlBlafmt99+m0GDBjFs2DAAmjZtSn5+PiNGjGDSpEk4OFSe/7/e7/PKy8urUo8qLV++nGHDhrFy5Uq7GAUvr7y8PA4cOEBKSgpjxowBDJ9ZiqKg1Wr5/vvveeyxx1ROaTmV51+mnXF2dqZVq1Zs3brVuEyv17N161ZiYmLuuU1MTEyp9QE2b9583/UrkvLUC/D+++8zbdo0Nm3aROvWrW0R1SLMrTciIoLU1FR0Op3xq2fPnsY7iUJCQmwZ32zl+fm2a9eO9PR0Y1MIcOLECYKCgip8owTlq7mgoOBPDdHdZlGpZNN02vPnVXktW7aMF154gWXLltG9e3e141iVl5fXnz6zRo4cSXh4ODqdjujoaLUjWpbKF5hXacuXL1dcXFyUJUuWKEePHlVGjBih+Pj4KJmZmYqiKMqgQYOUCRMmGNffvXu3otVqldmzZytpaWlKQkKC4uTkpKSmpqpVglnMrfe9995TnJ2dlVWrVimXLl0yfuXl5alVglnMrfeP7O1uOHPrPXv2rOLp6amMGTNGOX78uLJhwwbF399fmT59ulolmM3cmhMSEhRPT09l2bJlSkZGhvL9998rDRo0UHr37q1WCWWWl5enpKSkKCkpKQqgfPTRR0pKSopy5swZRVEUZcKECcqgQYOM62dkZCju7u7K66+/rqSlpSnz589XHB0dlU2bNqlVglnMrffLL79UtFqtMn/+/FKfV9nZ2WqVYDZza/6jynw3nDRLKps3b55Sp04dxdnZWWnTpo3y008/Gb8XFxenDBkypNT6X3/9tdKwYUPF2dlZady4sbJx40YbJ34w5tRbt25dBfjTV0JCgu2Dl5O5P9/fs7dmSVHMrzcpKUmJjo5WXFxclNDQUGXGjBlKcXGxjVM/GHNqvn37tvLOO+8oDRo0UFxdXZWQkBDl5ZdfVq5fv2774Gbavn37Pf893q1vyJAhSlxc3J+2ad68ueLs7KyEhoYqn3/+uc1zl5e59cbFxZlc3x6U52f8e5W5WdIoSiUb+xVCCCGEsCC5ZkkIIYQQwgRploQQQgghTJBmSQghhBDCBGmWhBBCCCFMkGZJCCGEEMIEaZaEEEIIIUyQZkkIIYQQwgRploQQQgghTJBmSQghhBDCBGmWhBB2p0OHDowdO1aV42o0GjQaDTqdziL7nDdvHnXr1kWr1TJ+/Pj7rjd06FDjsdeuXWuRYwshykaaJSFEhXK3Ibjf1zvvvMPq1auZNm2aKvmGDx/OpUuXaNKkiXHZzp076dGjB8HBwX/ZzLzwwgtMnjwZgEOHDjFu3Dg+/fRTzp07x7vvvnvf7T755BMuXbpksTqEEGWnVTuAEEL83u8bghUrVjBlyhSOHz9uXFatWjWqVaumRjQA3N3dCQwMLLUsPz+fqKgo/va3v/Hss8/ed9uSkhI2bNjAxo0bAdiwYQNt2rShW7duf3lcb29vvL29Hyy8EKJcZGRJCFGhBAYGGr+8vb3RaDSlllWrVu1Pp+E6dOjAK6+8wtixY6levToBAQEsWrSI/Px8XnjhBTw9PQkLC+P//u//jNvo9XpmzZpF/fr1cXNzIyoqilWrVpUr85NPPsn06dN55plnTK6XlJSEk5MTDz/8MGFhYUyePJmkpCQ0Gg2DBw8u17GFENYnzZIQolJYunQpfn5+7Nu3j1deeYVRo0bRq1cv2rZty8GDB3n88ccZNGgQBQUFAMyaNYsvvviChQsXcuTIEV599VUGDhzIDz/8YLWM69evp0ePHmg0GpKSkggNDeWDDz7g0qVLLFiwwGrHFUI8GGmWhBCVQlRUFJMnT+ahhx5i4sSJuLq64ufnx/Dhw3nooYeYMmUKv/76K4cPH6awsJCZM2eyePFiunbtSmhoKEOHDmXgwIH861//slrGdevW0bNnT8BwOvH06dPExsYaR8yEEBWTXLMkhKgUmjVrZnzt6OhIjRo1aNq0qXFZQEAAAFlZWaSnp1NQUECXLl1K7aOoqIgWLVpYJV9aWhoXL16kU6dOABw+fBigVEYhRMUkzZIQolJwcnIq9V6j0ZRaptFoAMO1Sjdu3ABg48aN1KpVq9R2Li4uVsm3fv16unTpgqurKwA6nY6wsDA8PDyM6xw5coQRI0aQnZ3N448/zuHDh9m6datV8gghyk6aJSFElRMZGYmLiwtnz54lLi7OJsdct24dI0aMML7X6XRERUUZ3xcWFtKvXz+WL19OZGQk8fHxpUbLhBDqkWZJCFHleHp6Mn78eF599VX0ej2xsbHk5OSwe/duvLy8GDJkiFn7u3HjBunp6cb3p06dQqfT4evrS506dcjKyuLAgQOsX7/euI5OpzNevwSwdu1aHn30USIjIwEIDw8nPDz8ASsVQliCNEtCiCpp2rRp1KxZk1mzZpGRkYGPjw8tW7bkrbfeMntfBw4coGPHjsb348aNA2DIkCEsWbKEb7/9ljZt2uDn5wcYTgWmpqby9ttvG7dJTU0tNdJ06NAhevXqVd7yhBAWpFEURVE7hBBC2IMOHTrQvHlz5syZY9Z2PXv2JDY2ljfeeOO+63z00UdcvHiR2bNnk5iYyNNPP01ubi5ubm6l1tNoNKxZs4b4+PhyVCCEKA95dIAQQphhwYIFVKtWjdTU1DJvExsbS79+/UyuM3DgQHbs2EFUVBR79uwhLCysVKM0cuRIebyAECqRkSUhhCijCxcucPPmTQDq1KmDs7OzVY6zd+9ePvjgg1JPFM/KyiI3NxeAoKCgUnfRCSGsS65ZEkKIMvrjYwas5fDhw3+6E87f3x9/f3+bHF8IUZqMLAkhhBBCmCDXLAkhhBBCmCDNkhBCCCGECdIsCSGEEEKYIM2SEEIIIYQJ0iwJIYQQQpggzZIQQgghhAnSLAkhhBBCmCDNkhBCCCGECdIsCSGEEEKYIM2SEEIIIYQJ0iwJIYQQQpggzZIQQgghhAn/DzsWvxJzYq05AAAAAElFTkSuQmCC\n"},"metadata":{}}]},{"cell_type":"code","source":["# plot on Bloch sphere\n","b = Bloch()\n","b.make_sphere()\n","\n","# plot the time trace of the state\n","b.add_points(result.expect, meth=\"l\", colors=\"red\")\n","\n","b.render()\n","b.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":536},"id":"DkAu-K23RKRC","executionInfo":{"status":"ok","timestamp":1727636935937,"user_tz":-120,"elapsed":1646,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"6cfc0736-bd5e-4018-cbe0-cc8cde367c06"},"execution_count":39,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 500x500 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# acquire the eigenstates of the schrodinge eq (qubit state)\n","psi_lab = result.states\n","# calculate the rotating frame states by multiplying U_rf on psi_lab\n","psi_rf=[]\n","for time_idx, time in enumerate(time_list):\n","  oper=-1j*omega_q/2*time*sigmaz()\n","  U_rf=oper.expm()\n","  psi_rf.append(U_rf*psi_lab[time_idx])"],"metadata":{"id":"XQyxvJW1YK_x","executionInfo":{"status":"ok","timestamp":1727636936831,"user_tz":-120,"elapsed":904,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}}},"execution_count":40,"outputs":[]},{"cell_type":"code","source":["# plot the expectation value of X\n","exp_x_rf = expect(sigmax(),psi_rf)\n","exp_y_rf = expect(sigmay(),psi_rf)\n","exp_z_rf = expect(sigmaz(),psi_rf)\n","\n","plt.plot(time_list, exp_x_rf, label=r\"$\\langle\\hat{X}\\rangle$\")\n","plt.plot(time_list, exp_y_rf, label=r\"$\\langle\\hat{Y}\\rangle$\")\n","plt.plot(time_list, exp_z_rf, label=r\"$\\langle\\hat{Z}\\rangle$\")\n","\n","plt.legend(loc=0)\n","plt.xlabel(r\"Time [1/$f_q$]\")\n","plt.ylabel(\"Expectation value\")\n","plt.title(\"Time-evolution in rotating frame\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":494},"id":"ik9ujzj9YpuB","executionInfo":{"status":"ok","timestamp":1727636937705,"user_tz":-120,"elapsed":882,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"5e59fdac-f3d4-4aae-87df-04164f25b981"},"execution_count":41,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'Time-evolution in rotating frame')"]},"metadata":{},"execution_count":41},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAksAAAHMCAYAAADF4Oz/AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACQsUlEQVR4nOzdd1xV9R/H8de9l40sZYniVnDjRBy5cO/MUZbj5yjTsqw0y7S0sr3MXOXINFeZpOZCTXOguQfiwi04kC3znt8fV24RiKBczr3weT4e58Hl3DPe5zr48D3f8/1qFEVREEIIIYQQudKqHUAIIYQQwpxJsSSEEEIIkQcploQQQggh8iDFkhBCCCFEHqRYEkIIIYTIgxRLQgghhBB5kGJJCCGEECIPUiwJIYQQQuRBiiUhhBBCiDxIsSTEIxg6dCiVKlVSO4ZZWLRoERqNhosXLxbqcdu0aUObNm0K9Zj5sWPHDjQaDTt27Cjyc6vh4sWLaDQaFi1apMr5z549S8eOHXFxcUGj0fDbb7+pkkOIvEixJMR9Go0mX0tJ+SFaFE6dOsW7775b6IVWcVMYn9OyZcv46quvCi1TYRkyZAjHjx/ngw8+YMmSJTRu3FjtSELkYKV2ACHMxZIlS7J9/+OPP7Jly5Yc62vWrMn8+fPR6/VFGa9YOnXqFO+99x5t2rTJ0VK3efNmVTI98cQT3Lt3DxsbG1XOn5u8Pqf8WrZsGSdOnOCVV17Jtr5ixYrcu3cPa2vrxw9aQPfu3WPv3r28/fbbjB07tsjPL0R+SbEkxH3PPvtstu/37dvHli1bcqwXRUOtYkWr1WJnZ2fSc+j1etLS0kx+nvzQaDSq5bh16xYArq6uD902KSkJR0dHEycSIndyG06IR/DfPktZ/T4+++wzZs2aRZUqVXBwcKBjx45cuXIFRVGYPn065cuXx97enl69ehETE5PjuH/88QetWrXC0dERJycnunXrxsmTJ/OdKywsjM6dO+Pi4oKDgwOtW7dm9+7dxvdXr16NRqPhzz//zLHv3Llz0Wg0nDhxwrhu27Ztxjyurq706tWL8PDwh+bQaDS8++67OdZXqlSJoUOHAoa+Tv369QOgbdu2OW5z5tZn6ebNmwwfPhwvLy/s7OyoX78+ixcvzrbNv/8s5s2bR9WqVbG1taVJkyYcOHDgodlz67PUpk0b6tSpw6lTp2jbti0ODg6UK1eOTz755KHHy/o8xo4dy9KlS6lduza2trZs3LgRgMOHD9OlSxecnZ0pVaoU7du3Z9++fcZ9H/Y5rV27lm7duuHj44OtrS1Vq1Zl+vTpZGZmZsu/fv16Ll26ZNw/6+9vbn2Whg4dSqlSpbh27Rq9e/emVKlSeHh48Prrr2c7LsCdO3d47rnncHZ2xtXVlSFDhnD06NGH9oN69913qVixIgBvvPFGtkzvvvsuGo2GU6dO8cwzz+Dm5kbLli0BOHbsGEOHDqVKlSrY2dnh7e3N//73P+7cuZPj+BqNhjNnzvDss8/i4uKCh4cH77zzDoqicOXKFXr16oWzszPe3t58/vnnOTKmpqYydepUqlWrhq2tLb6+vkyYMIHU1NQHXpconqRlSYhCtHTpUtLS0njppZeIiYnhk08+oX///rRr144dO3YwceJEzp07x8yZM3n99ddZsGCBcd8lS5YwZMgQOnXqxMcff0xycjKzZ8+mZcuWHD58+KG3X7Zt20aXLl1o1KgRU6dORavVsnDhQtq1a8euXbto2rQp3bp1o1SpUqxcuZLWrVtn23/FihXUrl2bOnXqALB161a6dOlClSpVePfdd7l37x4zZ86kRYsWHDp06LE7uD/xxBO8/PLLfPPNN7z11lvUrFkTwPj1v+7du0ebNm04d+4cY8eOpXLlyqxatYqhQ4cSGxvLuHHjsm2/bNkyEhISeP7559FoNHzyySc8+eSTXLhw4ZFuOd29e5fOnTvz5JNP0r9/f1avXs3EiROpW7cuXbp0eej+27ZtY+XKlYwdOxZ3d3cqVarEyZMnadWqFc7OzkyYMAFra2vmzp1LmzZt+PPPPwkMDHzo57Ro0SJKlSrF+PHjKVWqFNu2bWPKlCnEx8fz6aefAvD2228TFxfH1atX+fLLLwEoVapUnnkzMzPp1KkTgYGBfPbZZ2zdupXPP/+cqlWrMnr0aMDQQtajRw/279/P6NGj8ff3Z+3atQwZMuShn8eTTz6Jq6srr776Kk8//TRdu3bNkalfv35Ur16dDz/8EEVRANiyZQsXLlxg2LBheHt7c/LkSebNm8fJkyfZt28fGo0m2zEGDBhAzZo1+eijj1i/fj3vv/8+pUuXZu7cubRr146PP/6YpUuX8vrrr9OkSROeeOIJ47X17NmTv/76i1GjRlGzZk2OHz/Ol19+yZkzZ6QjekmjCCFyNWbMGOVB/0SGDBmiVKxY0fh9ZGSkAigeHh5KbGyscf2kSZMUQKlfv76Snp5uXP/0008rNjY2SkpKiqIoipKQkKC4uroqI0eOzHaeqKgoxcXFJcf6/9Lr9Ur16tWVTp06KXq93rg+OTlZqVy5stKhQ4ds5/b09FQyMjKM627cuKFotVpl2rRpxnUBAQGKp6encufOHeO6o0ePKlqtVhk8eLBx3cKFCxVAiYyMNK4DlKlTp+bIWbFiRWXIkCHG71etWqUAyvbt23Ns27p1a6V169bG77/66isFUH766SfjurS0NCUoKEgpVaqUEh8fryjKP38WZcqUUWJiYozbrl27VgGU33//Pce5/m379u05MrVu3VoBlB9//NG4LjU1VfH29lb69u2b5/EUxfB5aLVa5eTJk9nW9+7dW7GxsVHOnz9vXHf9+nXFyclJeeKJJ4zr8vqckpOTc6x7/vnnFQcHB+PfL0VRlG7dumX7O5sl6/NauHChcd2QIUMUINvfB0VRlAYNGiiNGjUyfv/LL78ogPLVV18Z12VmZirt2rXLcczcZJ37008/zbZ+6tSpCqA8/fTT+bren3/+WQGUnTt35jjGqFGjjOsyMjKU8uXLKxqNRvnoo4+M6+/evavY29tn+7u5ZMkSRavVKrt27cp2rjlz5iiAsnv37jyvTRQvchtOiELUr18/XFxcjN8HBgYChv5QVlZW2danpaVx7do1wPDbcmxsLE8//TS3b982LjqdjsDAQLZv357neY8cOcLZs2d55plnuHPnjnH/pKQk2rdvz86dO40d0gcMGMDNmzez3WZavXo1er2eAQMGAHDjxg2OHDnC0KFDKV26tHG7evXq0aFDBzZs2PB4H9Qj2LBhA97e3jz99NPGddbW1rz88sskJibmuLU4YMAA3NzcjN+3atUKgAsXLjzS+UuVKpWt/5qNjQ1NmzbN9/Fat25NrVq1jN9nZmayefNmevfuTZUqVYzry5YtyzPPPMNff/1FfHz8Q49rb29vfJ2QkMDt27dp1aoVycnJnD59Ol/ZHuSFF17I9n2rVq2yXe/GjRuxtrZm5MiRxnVarZYxY8Y81nkfdH7Ifr0pKSncvn2bZs2aAXDo0KEc248YMcL4WqfT0bhxYxRFYfjw4cb1rq6u+Pn5Zbu2VatWUbNmTfz9/bP9m2zXrh3AQ/9NiuJFbsMJUYgqVKiQ7fuswsnX1zfX9Xfv3gUMY80Axv+I/8vZ2Rkw3IqKi4vL9p63t7dx/7xuf8TFxeHm5mbs07RixQrat28PGG7BBQQEUKNGDQAuXboEgJ+fX47j1KxZk02bNhV5h9tLly5RvXp1tNrsv+Nl3Y7Kypzlv38WWYVT1mdeUOXLl89xi8fNzY1jx47la//KlStn+/7WrVskJyc/8DPW6/VcuXKF2rVr53nckydPMnnyZLZt25ajuPrv35WCsLOzw8PDI9s6Nze3bJ/fpUuXKFu2LA4ODtm2q1at2iOf99/++5kBxMTE8N5777F8+XJu3ryZ7b3crje3f5N2dna4u7vnWP/vfk9nz54lPDw8x2eQ5b/nFsWbFEtCFCKdTleg9cr9fhhZrT5LlizB29s7x3ZZrVIrVqxg2LBhOY6Rtf+nn35KQEBArufK6g9ia2tL7969WbNmDd999x3R0dHs3r2bDz/88CFX9/j+2znYlB72mRf18f7dIlJYYmNjad26Nc7OzkybNo2qVatiZ2fHoUOHmDhx4mMNb/Gg6y1KuX1m/fv3Z8+ePbzxxhsEBARQqlQp9Ho9nTt3zvV6c7uO/PxZ6vV66tatyxdffJHrtv/9BUgUb1IsCWEGqlatCoCnpyfBwcEP3K5Tp05s2bLlgfs7OzvnuX+WAQMGsHjxYkJDQwkPD0dRFOMtOMD4lFJERESOfU+fPo27u3uerUpubm7ExsZmW5eWlsaNGzeyrftvS01eKlasyLFjx9Dr9dlal7JuNWVlthQeHh44ODg88DPWarXGH8gP+px27NjBnTt3+PXXX40dkwEiIyNzbFuQzzq/KlasyPbt20lOTs7WunTu3LlCPxcYWgVDQ0N57733mDJlinF9VstqYapatSpHjx6lffv2JvnshGWRPktCmIFOnTrh7OzMhx9+SHp6eo73s8ajKVu2LMHBwdkWgEaNGlG1alU+++wzEhMTH7h/luDgYEqXLs2KFStYsWIFTZs2zXbLo2zZsgQEBLB48eJsRc+JEyfYvHkzXbt2zfN6qlatys6dO7OtmzdvXo6WpayC67+FVW66du1KVFQUK1asMK7LyMhg5syZlCpVKsfTfeZOp9PRsWNH1q5dm21k7ujoaJYtW0bLli2Nt18f9DlltZD8u0UkLS2N7777Lsf5HB0dH+u2XG46depEeno68+fPN67T6/XMmjWrUM+TJbfrBUwyMnn//v25du1atmvLcu/ePZKSkgr9nMJ8ScuSEGbA2dmZ2bNn89xzz9GwYUMGDhyIh4cHly9fZv369bRo0YJvv/32gftrtVq+//57unTpQu3atRk2bBjlypXj2rVrbN++HWdnZ37//Xfj9tbW1jz55JMsX76cpKQkPvvssxzH/PTTT+nSpQtBQUEMHz7cOHSAi4tLrmMo/duIESN44YUX6Nu3Lx06dODo0aNs2rQpRz+RgIAAdDodH3/8MXFxcdja2tKuXTs8PT1zHHPUqFHMnTuXoUOHcvDgQSpVqsTq1avZvXs3X331FU5OTg/5lM3P+++/z5YtW2jZsiUvvvgiVlZWzJ07l9TU1GxjOD3oc2revDlubm4MGTKEl19+GY1Gw5IlS3K9NdioUSNWrFjB+PHjadKkCaVKlaJHjx6Plb937940bdqU1157jXPnzuHv709ISIhxDLHCbpFxdnbmiSee4JNPPiE9PZ1y5cqxefPmXFvSHtdzzz3HypUreeGFF9i+fTstWrQgMzOT06dPs3LlSjZt2iRTs5QgUiwJYSaeeeYZfHx8+Oijj/j0009JTU2lXLlytGrVKkc/pdy0adOGvXv3Mn36dL799lsSExPx9vYmMDCQ559/Psf2AwYM4Pvvv0ej0dC/f/8c7wcHB7Nx40amTp3KlClTsLa2pnXr1nz88ce5drz9t5EjRxIZGckPP/zAxo0badWqFVu2bDF2KM/i7e3NnDlzmDFjBsOHDyczM5Pt27fnWizZ29uzY8cO3nzzTRYvXkx8fDx+fn4sXLjQONClpalduza7du1i0qRJzJgxA71eT2BgID/99JPxSUp48OfUpk0b1q1bx2uvvcbkyZNxc3Pj2WefpX379nTq1CnbuV588UWOHDnCwoUL+fLLL6lYseJjF0s6nY7169czbtw4Fi9ejFarpU+fPkydOpUWLVqYZGTwZcuW8dJLLzFr1iwURaFjx4788ccf+Pj4FOp5tFotv/32G19++SU//vgja9aswcHBgSpVqjBu3DjjwxCiZNAoj9rbUQghhMjFb7/9Rp8+ffjrr79o0aKF2nGEeGxSLAkhhHhk9+7dy/bUWmZmJh07duTvv/8mKirKJE8BClHU5DacEEKIR/bSSy9x7949goKCSE1N5ddff2XPnj18+OGHUiiJYkNaloQQQjyyZcuW8fnnn3Pu3DlSUlKoVq0ao0ePZuzYsWpHE6LQSLEkhBBCCJEHGWdJCCGEECIPUiwJIYQQQuRBOngXAr1ez/Xr13FycpJh8YUQQggLoSgKCQkJ+Pj45Jik+9+kWCoE169fl0kVhRBCCAt15coVypcv/8D3pVgqBFnTLFy5csU4l5MQQgghzFt8fDy+vr4PnS5JiqVCkHXrzdnZWYolIYQQwsI8rAuNdPAWQgghhMiDFEtCCCGEEHmQYkkIIYQQIg/SZ0kIIYQoJvR6PWlpaWrHMBvW1tbodLrHPo4US0IIIUQxkJaWRmRkJHq9Xu0oZsXV1RVvb+/HGgdRiiUhhBDCwimKwo0bN9DpdPj6+uY5wGJJoSgKycnJ3Lx5E4CyZcs+8rGkWBJCCCEsXEZGBsnJyfj4+ODg4KB2HLNhb28PwM2bN/H09HzkW3JSegohhBAWLjMzEwAbGxuVk5ifrOIxPT39kY8hxZIQQghRTMj8pDkVxmcixZIQQgghRB4sqljauXMnPXr0wMfHB41Gw2+//fbQfXbs2EHDhg2xtbWlWrVqLFq0KMc2s2bNolKlStjZ2REYGMj+/fsLP7wQQgghCuzu3bu899573LhxQ7UMFlUsJSUlUb9+fWbNmpWv7SMjI+nWrRtt27blyJEjvPLKK4wYMYJNmzYZt1mxYgXjx49n6tSpHDp0iPr169OpUydj73khhBBCqGfcuHHs37+f0aNHq5bBooqlLl268P7779OnT598bT9nzhwqV67M559/Ts2aNRk7dixPPfUUX375pXGbL774gpEjRzJs2DBq1arFnDlzcHBwYMGCBaa6jHwLOR/CyoiVbL20lSM3j5CSkaJ2JCGEEKLIrF+/noSEBNavX4+rqytLly5VJUexHjpg7969BAcHZ1vXqVMnXnnlFcAwgNfBgweZNGmS8X2tVktwcDB79+594HFTU1NJTU01fh8fH1+4we/7/vj3RMZFGr+31lpT170uwRWD6Vm1Jy62LiY5rxBCCGEOunXrRrdu3QBy7UZTVCyqZamgoqKi8PLyyrbOy8uL+Ph47t27x+3bt8nMzMx1m6ioqAced8aMGbi4uBgXX19fk+RvWa4lbXzbUN+jPu727qTr0zl08xCfHPiE4FXBvL/vfe7cu2OScwshhBDCoFi3LJnKpEmTGD9+vPH7+Ph4kxRME5pMML5WFIUrCVf469pfrD67mrN3z7IiYgXrL6znhfov8GzNZ9FpH3/+GyGEEEINM2fOpG/fvvj4+ORr+wULFtC8eXP8/f1NnKyYtyx5e3sTHR2dbV10dDTOzs7Y29vj7u6OTqfLdRtvb+8HHtfW1hZnZ+dsi6lpNBoqOFfgmZrP8EuPX/ih4w/ULF2TxPREPvv7M0ZsHkFU0oNbw4QQQghzde7cOSZOnIibmxtgmBDY39+ft99+O9t269evx8bGhl9//ZWwsDDmzp1bJPmKdbEUFBREaGhotnVbtmwhKCgIMIx02qhRo2zb6PV6QkNDjduYI41GQ9OyTVnefTnvBr2Lg5UDf0f/zVO/P8W+G/vUjieEEEIUyNq1a+nQoYNxehKtVsukSZOYNWsWcXFxABw6dIgBAwbw8ccf8+STT9KrVy9CQkKKJJ9FFUuJiYkcOXKEI0eOAIahAY4cOcLly5cBw+2xwYMHG7d/4YUXuHDhAhMmTOD06dN89913rFy5kldffdW4zfjx45k/fz6LFy8mPDyc0aNHk5SUxLBhw4r02h6FVqOlb42+rOyxkpqlaxKXGsforaNZd2Gd2tGEEEKIfFu7di09e/bMtm7QoEGULl2ab7/9lsuXL9O9e3eGDRtm/Bnevn17oqOjOXHihOkDKhZk+/btCpBjGTJkiKIoijJkyBCldevWOfYJCAhQbGxslCpVqigLFy7McdyZM2cqFSpUUGxsbJSmTZsq+/btK1CuuLg4BVDi4uIe8coeX2pGqvL6jteVOovqKHUW1VEWn1isWhYhhBBF6969e8qpU6eUe/fuqR2lwG7duqVYW1srUVFROd6bM2eO4u7urtSuXVvp2bOnkpmZme39Pn36KB988EGex8/rs8nvz2+NoiiK6Uuy4i0+Ph4XFxfi4uKKpP/Sg+gVPZ///Tk/nvoRgLcD32ag/0DV8gghhCgaKSkpREZGUrlyZezs7FAUhXvpmapksbfWFWg+tkWLFjFv3jz27NmT473ExEQ8PDyoVq0aYWFhxklxsyxevJjZs2ezb9+Du6D897P5t/z+/Jan4YoRrUbLG03ewFZny/zj8/kg7APsrOzoXa232tGEEEIUoXvpmdSasunhG5rAqWmdcLDJf3mxYcMGunbtmut7Y8eOBeD27dtotTl7DnXt2pVhw4Zx+/Zt3N3dHy1wPlhUnyWRPy81eIlnaz4LwLt73mXPtZzVuhBCCGEOKlWqRGRkZI7177zzDuvXr2ffvn1kZGTwww8/5NgmMjISV1dXXF1dTZpRWpaKIY1Gw4QmE4hPiyfkfAiv/fkaS7supYprFbWjCSGEKAL21jpOTeuk2rkLolevXvTt2xe9Xm9sPZo/fz6ff/4527Zto379+rzyyit88sknjBo1Cmtra+O+ISEhdO3aFSsr05Yz0rJUTGk0GqYGTaWhZ0MS0xMZEzqG2JRYtWMJIYQoAhqNBgcbK1WWgvRXAsMwP4qiEBYWBhhuy40dO5alS5fSrFkzwHA7Li4ujiVLlmTbNyQkhF69ehXOh5YHKZaKMRudDV+1/YpypcpxNfEqk3dPRvrzCyGEMCdarZbu3buzdu1aDh48SP/+/fnkk0/o06ePcRsXFxdefvllPvroIzIzDR3XIyMjiYiIoHPnzqbPaPIzCFW52bnxZZsvsdHa8OfVP41PygkhhBDmImuAyUaNGpGYmMi4ceNybDNt2jTOnDmDTme4zRcSEkKbNm1wcnIyeT4plkqAmmVqMrHpRAC+OvgVR28dVTmREEII8Y8OHTpw6dIlzp07l+99QkJCcgxkaSrSwbuE6FejHweiDrDx4kbe2vUWq3qswsHa4eE7CiGEECZmb29PUlJSgfb573RmpiQtSyWERqPhnaB38HLw4nLCZb469JXakYQQQgiLIMVSCeJs48y05tMA+Pn0zzLprhBCCJEPUiyVMM3LNWeA3wAApu6eSnJ6ssqJhBBCCPMmxVIJNL7ReMo6luV60nXmHJujdhwhhBDCrEmxVAI5WDvwduDbAPx48kciYiJUTiSEEEKYLymWSqjWvq3pULEDmUom0/ZOQ6/o1Y4khBBCmCUplkqwiU0m4mjtyLHbxwg5H6J2HCGEEMIsSbFUgnk5evF8vecBw2CViWmJKicSQgghzI8USyXcszWfpaJzRe6k3GHesXlqxxFCCCHMjhRLJZy1zpoJTSYAsCR8CZfjL6ucSAghhPjH3bt3ee+997hx44ZqGaRYErQq14oW5VqQoc/g60Nfqx1HCCGEMBo3bhz79+9n9OjRqmWQYkmg0WgY32g8GjRsvrSZY7eOqR1JCCGEYP369SQkJLB+/XpcXV1ZunSpKjmkWBIA1HCrQc+qhtmbvzj4BYqiqJxICCFESdetWzfWrFkDwKJFixg0aJAqOaRYEkZjG4zFVmfLweiD7Ly6U+04QgghhFmQYkkYeTt6M6imoWr/9si30rokhBCiyMycOZPr16/na9sFCxZw+vRpEyf6hxRLIpthtYfhaO3I6ZjTbLuyTe04QgghSoBz584xceJE3NzcyMjIoEqVKrz88ss5tnvhhReoXr06u3fvZu7cuUWWT4olkY2rnSvP+D8DwJyjc8yzdUmfCUm3ISYSbhyDS3vg7BY4uxUu7ICLu+FyGNw4Cncvwr27hn2EEEKYpbVr19KhQwfs7e2xsrJi0qRJLFiwgJiYGOM2M2bM4JdffuGPP/6gb9++hIQU3cwTVkV2JmExBtcazLLTywytS5e30b5ie/XCJN2GS7vh+hGIOgZ3zkPcFdBnFPxYts5g55JzsXX6z+Js+GptDzqb+4t19tea3H7P0OSyKpd1+d4uH/sV+THycY585Xjc/c3hOszgz0NnA1pdPs4jhHlbu3YtQ4YMMX4/ZMgQpk+fzrfffsuUKVNYunQp77//Plu3bqVatWr4+voSHR3NiRMnqFOnjsnzSbEkcshqXZp/fD6zj86mbYW2aHMtDkzkznk4vhpOrzMUSA9i7Xi/uCkFNo6gKIYiSp8BmemQfg9S4yE92bB9arxhibtSNNchRFGwdgCbUoZ/C3bO4FwOXHzB1dfwtUxVcPcDnfx3L8zT7du32bdvH6tWrTKus7GxYcKECUybNo3GjRszYsQIli5dSlBQEAC2trZ07NiRkJAQKZaEeobUHsKy08uIuBvBtsvbCK4YbNoT6jPh9HrY9x1c3pv9Pc/a4NsEvOuBhz+4VQSnsvn/jTojFVLiISXu/hL7r9dxkJYIqQn3l3jDtqkJkJECmWn3l3TD14z73/Of25O53q7MZV1+t8vXfgU8hiie0pMNS9JNw/fXD+fcRmcL3nWgYguo1AoqtQQbh6LNKYqWovzzi2JRs3YoUAvzunXraNy4MV5eXtnWjxgxgg8++IAePXrw+eef8+STT2Z7v1evXsyePZu33nqrUGLnRYolkSsXWxcG1RzEvGPzmH10Nu0qtDNN65KiwKnfIHQaxFwwrNNooUpbqNMXqgWDk1eeh3goK1so5WFYxIM9rCDLV/+1xz1GERSOxek6MtP+KfTTEuFeLMRfg9jLhhbU2CtwKwLSEuDaQcOy5xvDD7Nq7aHOU+DXFaxsHp5XWJb0ZPjQR51zv3Xd0NqfTxs2bKBr16451tvZ2dG2bVuuXLnCK6+8kuP9rl27MmzYMG7fvo27u/vjJH4oKZbEAw2uNZhl4cs4c/cMoZdD6VCxQ+Ge4MYxWD8erh4wfG/nCk2GQ5OR4Fy2cM8lHu5hvwk+bl8kYRqOD/khodfD3UjDv7OLfxkegoi7AuG/GxaHMtDgWWj2Ijh5F0lkIf6tUqVKREZG5vresWPH6Ny5c67vRUZG4urqiqurqwnTGUixJB4oq3Vp7rG5zD46m/YV2hdO61JGGuz6DHZ9buhfZO0ALcZB0FhD/yMhROHRag39lspUhfoDDS1SN47CqbVw9GdIuAG7v4Z9syFgELSeKL+sFAfWDoYWHrXOXQC9evWib9++6PV6tNp/fsYkJydz+vRp3n777Vz3CwkJoWvXrlhZmb6UsbihA2bNmkWlSpWws7MjMDCQ/fv3P3DbNm3aoNFocizdunUzbjN06NAc7z+oii2Jnqv1HI7Wjpy9e5ZdV3c9/gHjrsLCzvDnx4ZCqWZPePkwtHlTCiUhioJGAz4BEDwVXjkBA3+GCkGGW3oHF8LMhrDjI0hTqb+LKBwajeFWmBpLAVuhg4KCUBSFsLCwbOuPHj1KZmYmDRs2zHW/kJAQevXq9cgfUUFYVLG0YsUKxo8fz9SpUzl06BD169enU6dO3Lx5M9ftf/31V27cuGFcTpw4gU6no1+/ftm269y5c7btfv7556K4HIvgYutC/xr9AVh4cuHjHSxyF8xtbeg3YecKTy2EAUuk6V8IteiswL8r/G8jDPsDfAMNfV12zIA5LQxjlglhYlqtlu7du7N27dps6w8dOkSpUqWoUaNGjn0iIyOJiIgossYNiyqWvvjiC0aOHMmwYcOoVasWc+bMwcHBgQULFuS6fenSpfH29jYuW7ZswcHBIUexZGtrm207Nze3orgcizGo5iCstFYcjD7I0VtHH+0gx1fDkj6QfBu868Lzf0KdJx++nxCiaFRsDv/bZPglxsnH8MDFoq6wcZLh1rkQJtSrV68cg0yOGTOGhIQENLm0VIWEhNCmTRucnJyKJJ/FFEtpaWkcPHiQ4OB/HmHXarUEBwezd+/ePPb8xw8//MDAgQNxdMzeS3/Hjh14enri5+fH6NGjuXPnTp7HSU1NJT4+PttSnHk5etG9SncAFp1YVPAD7J8Pv4wAfTrU6g3/2wxulQozohCiMGg0hl9ixuyDhvcHCNz3HSzoBHcvqZtNFGsdOnTg0qVLnDt3Ll/bh4SE0LNnTxOn+ofFFEu3b98mMzMzxzgMXl5eREVFPXT//fv3c+LECUaMGJFtfefOnfnxxx8JDQ3l448/5s8//6RLly5kZj54eowZM2bg4uJiXHx9fR/toizI0NpDAQi9HMrFuIv53zFsHmx4HVCgyQh4aoGM7yKEubNzgZ7fwNMrDLfMrx+CuU/IbTlhMvb29iQlJVGtWrV8bR8aGsqYMWNMnOofFlMsPa4ffviBunXr0rRp02zrBw4cSM+ePalbty69e/dm3bp1HDhwgB07djzwWJMmTSIuLs64XLlS/EeErupaldblW6OgsPjU4vztdGQZ/PGG4XWr16DrZzI1gxCWxK8zvLALfBoaBnNd0huOrVQ7lRBFzmKKJXd3d3Q6HdHR0dnWR0dH4+2ddwfhpKQkli9fzvDhwx96nipVquDu7p5nU6CtrS3Ozs7ZlpJgWJ1hAIScC+H2vdt5b3x6Pay9X/U3exHavSPj9AhhiVwrwND1hidXM9Pg15Gw9zu1UwlRpCymWLKxsaFRo0aEhoYa1+n1ekJDQ41zxTzIqlWrSE1N5dlnn33oea5evcqdO3coW1bGGfmvhp4NqedRjzR9GsvClz14w6jj8MtIUPSGwe46fSiFkhCWzMYB+i02jIUGsGkS/PWlupmEKEIWUywBjB8/nvnz57N48WLCw8MZPXo0SUlJDBtmaPEYPHgwkyZNyrHfDz/8QO/evSlTpky29YmJibzxxhvs27ePixcvEhoaSq9evahWrRqdOnUqkmuyJBqNhv/V/h8AyyOWk5zbvEOJN2HZQEhPgsqtoftXUigJURxotdDxfWj9puH7re9KwSRKDIsawXvAgAHcunWLKVOmEBUVRUBAABs3bjR2+r58+XK20T8BIiIi+Ouvv9i8eXOO4+l0Oo4dO8bixYuJjY3Fx8eHjh07Mn36dGxtbYvkmixNG982VHKuxMX4i/xy9heeq/XcP29mZsDKIRB/FcpUg/6LQWetXlghROHSaKDtJMO/623TDQWTnSs0HqZ2MiFMSqMo+ZpVUuQhPj4eFxcX4uLiSkT/pVVnVjFt7zTKlSrH+j7r0WV12t72Puz8FGycYNR2cK+ublAhhOmETjNMWYQG+i2E2n3UTlSipaSkEBkZSeXKlbGzs1M7jlnJ67PJ789vi7oNJ8xD9yrdcbZx5lriNXZe3WlYeWEH7PzM8LrHV1IoCVHctXsHGg0DFPj1ebhyQO1EQpiMFEuiwOyt7Olboy8AS8OXQnIM/DoKUAwD2dV9St2AQgjT02ig2+dQowtkpsLyZyC2+A+jIkomKZbEI3na72l0Gh1hUWGcWf8SJEaDew3o/JHa0YQQRUWrg77zwasOJN2En5+WCXhFsSTFkngkZUuVpV2FdgAsi94DGi30ni2jcwtR0tg6wdM/g6MHRB+H9a+BdIUVheju3bu899573LhxQ7UMUiyJRzaoimFennWODsQ2GwXlG6ucSAihCtcKhqmMNFo4ugwOL1E7kShGxo0bx/79+xk9erRqGaRYEo+s4bEQaqamkarVstqrstpxhBBqqvwEtJtseL3+dcPgtEI8pvXr15OQkMD69etxdXVl6dKlquSQYkk8muuH0fy9gEHxCQAsP7uadH26yqGEEKpq8SpU72To8P3LSEhPUTuRsHDdunVjzZo1ACxatIhBgwapkkOKJVFwer2hXwIKXSp1prRdaaKTowm9HPrQXYUQxZhWC72/A0dPuBUOoe+pnUiIQiHFkii4I0vh2kGwccKm4wf0q9EPIO/54oQQJYOjO/SaZXi97zs4v03dPMJizJw5k+vXr+d7+wULFnD69GkTJvqHFEuiYNKSDCN1A7SZCM5lGeA3ACutFYdvHib8Tri6+YQQ6qvREZqMMLxe+xKkxKubR5i9c+fOMXHiRNzc3ADYsGEDGo3mgcuAAQMICwtj7ty5RZJPiiVRMHtnQWIUuFaEpqMA8HDwILhCMAArIlaomU4IYS46TDP8PxF/1TCHnBB5WLt2LR06dMDe3h6Atm3bcuPGjWzL1atX6dChA2XKlOGtt96iV69ehISEFEk+KZZE/iXehN1fG163nwJW/0w2PMBvAAAbIjeQkJagRjohhDmxcYSeMw2v//4BLv6lbh5h1tauXUvPnj2N39vb2+Pt7W1cPDw8eO211zh06BChoaHUr1+f9u3bEx0dzYkTJ0yeT4olkX87PoK0RPBpCHX6ZnurkVcjqrlW417GPULOF02lL4Qwc1VaQ6OhhtchL8nTcSJXt2/fZt++fXTv3j3X9zMzM3n22WfZunWrsVACsLW1pWPHjkXSuiTFksifu5fg0GLD647TDfNC/YtGo6G/X38AVkasRJERfIUQYLgdV8obYi780zItTE5RFJLTk1VZCvr//7p162jcuDFeXl453ssqlDZv3szWrVuNhVKWoroVZ2XyM4jiYddnoM+Ayq2hUstcN+lRpQdfHvySC3EX+Dv6b5p4NynikEIIs2PnAp0/hNX/g12fQ71+ULqK2qmKvXsZ9whcFqjKucOeCcPBOv9TX23YsIGuXbvmWJ+Zmclzzz3H5s2bCQ0NJSAgIMc2Xbt2ZdiwYdy+fRt3d/fHiZ0naVkSDxcTCUfuDwvQ9q0HblbKphTdqxiaUaWjtxDCqPaTUKWtYbDKDW/I3HEim0qVKhEZGZltXVahtGnTJrZu3ZproQQQGRmJq6srrq6uJs0oLUvi4Xbeb1Wq2g4qNMtz0wF+A1h1ZhWhl0K5lXwLDwePIgophDBbGg10+xy+awbntsKZTeDXWe1UxZq9lT1hz4Spdu6C6NWrF3379kWv16PVasnMzGTw4MHGQqlBgwYP3DckJISuXbtiZWXackZalkTe7l6Coz8bXrd5cKtSFr/SfgR4BJChZPDr2V9NHE4IYTHKVIVmLxpeb54MmTI9kilpNBocrB1UWTT/6dP6MEFBQSiKQlhYGHq9nsGDB/Pbb7/x008/UbZsWaKiorItmZmZxn1DQkLo1atXYX98OUixJPK291tQMqFKG/DNXx+krI7eq86sIkOfYcJwQgiL0mo8OLjDnbNwcJHaaYSZ0Gq1dO/enbVr13LgwAGWLVtGcnIyXbt2pWzZstkWHx8fkpKSAMMtuIiICDp3Nn0rpRRL4sESb8GhHw2vW47P924dK3XEzdaN6ORodl7daaJwQgiLY+cCbScZXm//EO7FqhpHmI+sp9oCAwNRFOWBi16vx9nZGTC0KrVp0wYnJyeT55NiSTzY/rmQkWIYV6nyE/nezVZnS+/qvQHp6C2E+I+GQ8HdD+7FGJ6yFQLo0KEDly5d4ty5c/neJyQkJNtAlqYkxZLIXWoC7J9neN3y1RzjKj1Mvxr90KBhz/U9XI6/bIKAQgiLpLOCjvfnlwyba3jaVpR49vb2JCUlUa1atXzvExoaypgxY0yY6h9SLIncHV4KKXFQphr4dyvw7r5OvrQo1wIw9F0SQgij6h0M/SAz02TeOGERpFgSOekzIWyO4XWzF0Gre6TDDPQbCMCac2tIyZBpDoQQ92k00PEDQAOnfoPL+9ROJESepFgSOZ3ZBHcjwc4V6g985MO0LNcSH0cf4lLj2Hxpc+HlE0JYPu860OBZw+ut78pAlcKsSbEkctr3neFroyGGmcMfkU6ro59fPwBWnJaO3kKI/2j7Fuhs4fJeuLBd7TRCPJAUSyK7qBNwcRdodNBk5GMfrk+1PlhprTh2+xjhd8ILIaAQothw9oHG/zO83vaBtC4JsyXFkshu/1zD15o9wNX3sQ9Xxr4MwRWCAenoLYTIRctXwcoerv0NZ+V2/eNSpODMQa/XP/YxZG448Y+UODi+2vA68PlCO2x/v/5svLiR9RfW81rj13C0fvRbe0KIYsbJC5qOgD0zYfsHUL1jgYcqEWBtbY1Go+HWrVt4eHgUeMqR4khRFNLS0rh16xZarRYbG5tHPpYUS+IfR5dDejJ41IQKQYV22MZejansUpnIuEjWnV/HAP8BhXZsIUQx0OIVOLAAbhyF0+uhZne1E1kcnU5H+fLluXr1KhcvXlQ7jllxcHCgQoUKaLWPfjNNiiVhoChw4AfD68b/K9Tf7DQaDf1r9OfjAx+z4swK+vv1l996hBD/cHSHZi/Ars8N06D4dYXH+MFWUpUqVYrq1auTni6TFGfR6XRYWVk99s8ci/vbOGvWLCpVqoSdnR2BgYHs37//gdsuWrQIjUaTbbGzs8u2jaIoTJkyhbJly2Jvb09wcDBnz5419WWYn0t74HYEWDtA/cJv+elRtQd2OjvO3j3L0VtHC/34QggLFzQWbJ3h5kkIX6t2Goul0+mws7OT5f6SdXvycVlUsbRixQrGjx/P1KlTOXToEPXr16dTp07cvHnzgfs4Oztz48YN43Lp0qVs73/yySd88803zJkzh7CwMBwdHenUqRMpKSVsEMW/Fxi+1u1nmOyykLnYutC5smFmaOnoLYTIwaE0BN2fumL7DMPguEKYCYsqlr744gtGjhzJsGHDqFWrFnPmzMHBwYEFCxY8cB+NRoO3t7dx8fLyMr6nKApfffUVkydPplevXtSrV48ff/yR69ev89tvvxXBFZmJe3ch/HfD68bDTHaa/jX6A7AxciOxKbEmO48QwkI1G20YDPd2BISHqJ1GCCOLKZbS0tI4ePAgwcHBxnVarZbg4GD27t37wP0SExOpWLEivr6+9OrVi5MnTxrfi4yMJCoqKtsxXVxcCAwMzPOYqampxMfHZ1ss2olfIDMVPGtD2QCTnaaOex1qlq5Jmj6NteelmV0I8R92LhD4guH1rs9l3CVhNiymWLp9+zaZmZnZWoYAvLy8iIqKynUfPz8/FixYwNq1a/npp5/Q6/U0b96cq1evAhj3K8gxAWbMmIGLi4tx8fV9/PGIVHV4qeFrg0EmfWRXo9EYR/RedWaVjAcihMgp8HmwdoSo43Buq9pphAAsqFh6FEFBQQwePJiAgABat27Nr7/+ioeHB3Pnzn2s406aNIm4uDjjcuXKlUJKrIKb4XD9EGitoG5/k5+uW+VuOFo7cin+EvujHtw5XwhRQjmU/qc7wK7P1c0ixH0WUyy5u7uj0+mIjo7Otj46Ohpvb+98HcPa2poGDRpw7tw5AON+BT2mra0tzs7O2RaLdWSZ4Wv1TlDKw+Snc7B2oHsVwxgqKyJkvjghRC6CxoLOxjBn3KU9aqcRwnKKJRsbGxo1akRoaKhxnV6vJzQ0lKCg/A2gmJmZyfHjxylbtiwAlStXxtvbO9sx4+PjCQsLy/cxLVpmBhy7X7AEPFNkp+1Xw3Arbvvl7dxKvlVk5xVCWAjnshAwyPBaWpeEGbCYYglg/PjxzJ8/n8WLFxMeHs7o0aNJSkpi2DBDk+3gwYOZNGmScftp06axefNmLly4wKFDh3j22We5dOkSI0aMAAx9aF555RXef/99QkJCOH78OIMHD8bHx4fevXurcYlF63woJEaDQxnDFANFxK+0HwEeAWQoGaw5t6bIziuEsCAtxoFGa+i3dP2I2mlECWdRI3gPGDCAW7duMWXKFKKioggICGDjxo3GDtqXL1/ONpz53bt3GTlyJFFRUbi5udGoUSP27NlDrVq1jNtMmDCBpKQkRo0aRWxsLC1btmTjxo05Bq8slo7c79hdbwBYPfqcOY+iv19/jtw6wuozqxleZzg6ra5Izy+EMHOlK0Odp+D4SvjrC+j/o9qJRAmmUeSRpMcWHx+Pi4sLcXFxltN/KTkGPveDzDR44S/wrlukp0/NTKX9qvbEpcbxbbtvae3bukjPL4SwANGnYHYQoIEx+8GjhtqJRDGT35/fFnUbThSi46sNhZJ33SIvlABsdbb0rtobgJVnVhb5+YUQFsCrFvh1AxTY/bXaaUQJJsVSSZV1Cy7gWdUiZI25tOvqLq4nXlcthxDCjLV81fD12ApIePD4d0KYkhRLJVH0KbhxBLTWhrngVFLRuSLNyjZDQWH1mdWq5RBCmDHfJuDbDPTpEPZ4Y+QJ8aikWCqJjt+fyLZGJ3Aso2qU/n6GgTB/Pfsr6ZnpqmYRQpip5i8Zvv79A6QmqptFlEhSLJU0imKYCw6gzpPqZgHa+LbB3d6dOyl32HZlm9pxhBDmyK8LlK4KKXFw+Ce104gSSIqlkub6IYi9BNYOUKOz2mmw1lrzZHVD0bYqYpXKaYQQZkmrg6Axhtf7ZhkG1BWiCEmxVNKc+NXw1a8L2Diqm+W+p6o/hVajJSwqjMi4SLXjCCHMUf2nDQPoxl6G8BC104gSRoqlkkSvh5P3R8yurf4tuCxlS5XliXJPALDqjLQuCSFyYeMATUYaXu+ZaehSIEQRkWKpJLkSBvHXwNYZqgWrnSabrGEE1p5bS0pGispphBBmqckIsLIzdCeQCXZFEZJiqSTJ6tjt3x2szWs6lxY+LfBx9CE+LZ7NlzarHUcIYY5KeRhux4GhdUmIIiLFUkmRmQGnfjO8NoOn4P5Lp9XxVI2nAFgZISN6CyEeIGgMoIEzf8CtM2qnESWEFEslxaW/IOkW2LtBlTZqp8lVn+p9sNJYcfTWUSJiItSOI4QwR+7Vwa+r4fXeb9XNIkoMKZZKiqxbcLV6gc5a3SwP4G7vTvuK7QFpXRJC5CFrkMqjyyHxprpZRIkgxVJJkJEG4b8bXtfpq26Wh+hfwzCi97oL60hKT1I5jRDCLFVoBuUaQ2Yq7J+vdhpRAkixVBJc2AH37kIpL6jYQu00eWri3YRKzpVIzkhm/YX1ascRQpgjjeaf1qUD8yEtWd08otiTYqkkMN6C620YCdeMaTQa43xxKyNWoshYKkKI3NTsAa4VDb8IHlmqdhpRzD1SsZSRkcHWrVuZO3cuCQkJAFy/fp3ERJng0OxkpEHEH4bXtfuomyWfelbtia3Oloi7ERy9dVTtOEIIc5RtCpTvQJ+pbh5RrBW4WLp06RJ169alV69ejBkzhlu3bgHw8ccf8/rrrxd6QPGYLu6E1DjDLTjfQLXT5IuLrQudKxnmrfv59M8qpxFCmK2AQWDnAjEX/vmlUAgTKHCxNG7cOBo3bszdu3ext7c3ru/Tpw+hoaGFGk4UgvB1hq/+3UBrOXddn6n5DACbL27mZrI87SKEyIVtKWg83PBahhEQJlTgn567du1i8uTJ2NjYZFtfqVIlrl27VmjBRCHQZ8Lp+52k/burm6WAapWpRUPPhmQoGTKMgBDiwZqOAq01XN4LV/9WO40opgpcLOn1ejIzc94bvnr1Kk5OToUSShSSqwcg6aahmbpSK7XTFFhW69KqM6tIy0xTOY0Qwiw5l4W6hrklZQoUYSoFLpY6duzIV199Zfxeo9GQmJjI1KlT6dq1a2FmE48ra2ylGp3Byibvbc1Q+wrt8XLwIiYlhj8ipT+CEOIBsjp6h4fA3YuqRhHFU4GLpc8//5zdu3dTq1YtUlJSeOaZZ4y34D7++GNTZBSPQlH+KZYs7BZcFiutFQP9BwKwNHypDCMghMiddx2o0hYUPeybo3YaUQwVuFgqX748R48e5a233uLVV1+lQYMGfPTRRxw+fBhPT09TZBSPIuo4xF4CK3uo1l7tNI/sqepPYauzJTwmnCO3jqgdRwhhrpqPNXw9vATuxaoaRRQ/Vo+0k5UVzz77bGFnEYXp9P2n4Kq1BxtHdbM8Blc7V7pX6c4vZ3/hp1M/0cCzgdqRhBDmqGp78KwFN0/BwUXQ8hW1E4lipMDF0o8//pjn+4MHD37kMKIQZd2Cq9lD3RyF4Gn/p/nl7C+EXg4lKikKb0dvtSMJIcyNRgNBY2HtixA2F5q9aJF9NYV50igF7Aji5uaW7fv09HSSk5OxsbHBwcGBmJiYQg1oCeLj43FxcSEuLg5nZ2e148Cd8zCzIWit4I1zYO/28H3M3P82/Y8DUQcYUXcE4xqOUzuOEMIcZaTCV3UhMRr6zIP6A9ROJMxcfn9+F7jP0t27d7MtiYmJRERE0LJlS37+WUZbNgtZrUqVWhWLQglgUM1BgGEYgeR0mTRTCJELK1vDuEtgGEZAHgoRhaRQhnSuXr06H330EePGyW/8ZiGrv1JNy3wKLjdtyrfB18mXuNQ41pxbo3YcIYS5avw/sHaA6OMQ+afaaUQxUWjzX1hZWXH9+vXCOpx4VPHXDYNRorHYIQNyo9PqGFJrCABLTi0hQ5+hciIhhFlyKG2YMw5gj0yBIgpHgTt4h4SEZPteURRu3LjBt99+S4sWLQotmHhEWZNJlm8CTsWrI3Svar2YdWQW1xKvseXSFrpU7qJ2JCGEOWo2Gg58D+e2wM3T4OmvdiJh4QrcstS7d+9sy5NPPsm7775LvXr1WLBggSkyZjNr1iwqVaqEnZ0dgYGB7N+//4Hbzp8/n1atWuHm5oabmxvBwcE5th86dCgajSbb0rlzZ1Nfhumc2Wj46lf8Cgk7Kzue9n8agIUnFsoglUKI3JWpapg8HGSCXVEoHmluuH8vmZmZREVFsWzZMsqWLWuKjEYrVqxg/PjxTJ06lUOHDlG/fn06derEzZu5z0q/Y8cOnn76abZv387evXvx9fWlY8eOOSb87dy5Mzdu3DAuFttRPS0JLty/R18MiyWAgf4DsdPZER4Tzv6oBxfKQogSrvnLhq/HVkBi7j8jhMivQuuzVBS++OILRo4cybBhw6hVqxZz5szBwcHhgS1aS5cu5cUXXyQgIAB/f3++//579Ho9oaGh2baztbXF29vbuPx3eASLcX47ZKaCa0XwKJ7Nzm52bvSu1hswtC4JIUSuKgQauiNkpsH++WqnERYuX32Wxo8fn+8DfvHFF48cJi9paWkcPHiQSZMmGddptVqCg4PZu3dvvo6RnJxMeno6pUuXzrZ+x44deHp64ubmRrt27Xj//fcpU6bMA4+TmppKamqq8fv4+PgCXo2JnLnfX8mvi2GAtmJqcO3BrDyzkt3XdxMRE4FfaT+1IwkhzFHQWFg1xNB/qeWrYOOgdiJhofJVLB0+fDhfB9OY8Af07du3yczMxMvLK9t6Ly8vTp8+na9jTJw4ER8fH4KDg43rOnfuzJNPPknlypU5f/48b731Fl26dGHv3r3odLpcjzNjxgzee++9R78YU9Dr4cxmw+saFtznKh98nXzpULEDmy5uYvHJxXzY6kO1IwkhzFHNHoaW9thLcGQpNB2pdiJhofJVLG3fvt3UOUzuo48+Yvny5ezYsQM7Ozvj+oEDBxpf161bl3r16lG1alV27NhB+/a5T0A7adKkbK1t8fHx+Pr6mi58flw/BEk3wdYZKhb/pxKH1R7Gpoub+CPyD15q8BJlS5m2v5wQwgJpdYbWpT/egD3fQKNhoHukKVFFCWcxfZbc3d3R6XRER0dnWx8dHY23d96PyH/22Wd89NFHbN68mXr16uW5bZUqVXB3d+fcuXMP3MbW1hZnZ+dsi+qyhgyo1r5EzIdU2702TbybkKFksPCk9F0SQjxAg2fBwR1iL8OJX9ROIyzUIxVLf//9NxMmTGDgwIE8+eST2RZTsbGxoVGjRtk6Z2d11g4KCnrgfp988gnTp09n48aNNG7c+KHnuXr1Knfu3DH5k32FLmvIgBrF8ym43Dxf73kAfjnzC9FJ0Q/ZWghRItk4QNCLhtd/fWHosiBEARW4WFq+fDnNmzcnPDycNWvWkJ6ezsmTJ9m2bRsuLi6myGg0fvx45s+fz+LFiwkPD2f06NEkJSUxbNgwAAYPHpytA/jHH3/MO++8w4IFC6hUqRJRUVFERUWRmJgIQGJiIm+88Qb79u3j4sWLhIaG0qtXL6pVq0anTp1Mei2FKvYyRJ8AjRaqd1A7TZFp6t2Uhp4NSdOnseCE6cf4EkJYqCYjDF0Ubp3+50EYIQqgwMXShx9+yJdffsnvv/+OjY0NX3/9NadPn6Z///5UqFDBFBmNBgwYwGeffcaUKVMICAjgyJEjbNy40djp+/Lly9y4ccO4/ezZs0lLS+Opp56ibNmyxuWzzz4DQKfTcezYMXr27EmNGjUYPnw4jRo1YteuXdja2pr0WgrVmU2Gr77NDEP9lxAajYbRAaMBWH1mNTeTZSwVIUQu7FygyXDD611fyAS7osA0SgGHQXZ0dOTkyZNUqlSJMmXKsGPHDurWrUt4eDjt2rXLVqyUFPHx8bi4uBAXF6dO/6UlfeD8NugwDVqUrMmMFUVhyMYhHL55mEE1B/Fm0zfVjiSEMEeJN+GrupCRAkN+h8pPqJ1ImIH8/vwucMuSm5sbCQkJAJQrV44TJ04AEBsbS3Jy8iPGFY8sNQEu/mV4XYL6K2XRaDSMrv9P69Kt5FsqJxJCmKVSntDgOcPrXZ+rm0VYnAIXS0888QRbtmwBoF+/fowbN46RI0fy9NNPP/BRe2FC57cZRqgtXQXcq6udRhXNyjajgWcDUjNTpe+SEOLBmr8EGh1c2AHXDqmdRliQAhdL3377rXFsorfffpvx48cTHR1N3759+eGHHwo9oHiIiKyJc7sW61G786LRaHih/gsArDqzSlqXhBC5c6sIdfsZXkvrkiiAAo/O9e+pQrRaLW++KX1EVKPXw9msUbst6Ok9EwgqG0SARwBHbh1hwYkFTGw6Ue1IQghz1PJVw+S6p9dB1HHwrqt2ImEBCtyyFBwczKJFi8xnPrSS7MZhSL4NNk5Q4cFjTZUE/34ybmXESqKSolROJIQwS57+ULuP4fX2GepmERajwMVS7dq1mTRpEt7e3vTr14+1a9eSnp5uimziYc4a+o5RtS3orNXNYgaCygbRxLsJafo0Zh2ZpXYcIYS5ajPJMC5dxHq4nr+5T0XJVuBi6euvv+batWv89ttvODo6MnjwYLy8vBg1ahR//vmnKTKKB8kqlqp3VDeHmdBoNLza8FUAQs6HcPbuWZUTCSHMkkeNf/oubZeJuMXDPdJ0J1qtlo4dO7Jo0SKio6OZO3cu+/fvp127doWdTzxI0m24dtDwulqwulnMSF2PunSo2AG9ouebQ9+oHUcIYa5aTzQ8GXd2M1w5oHYaYeYeayLdqKgo5syZw8cff8yxY8do0qRJYeUSD3MuFFAMnROdLWweOxN7ucHL6DQ6dlzdwf4b+9WOI4QwR2WqQv2nDa+3f6BuFmH2ClwsxcfHs3DhQjp06ICvry+zZ8+mZ8+enD17ln379pkio8hN1lNwcgsuh0oulejv1x+Ajw98TKY+U+VEQgiz1PoN0FrBhe1waY/aaYQZK3Cx5OXlxdtvv02dOnXYu3cvERERTJkyhapVq5oin8iNPhPOhxpeS7GUqxfrv4izjTNn7p7hl7O/qB1HCGGO3CpBg2cNr6XvkshDgYulkJAQrl69ypdffknjxo1NkUk8zLWDcO8u2LlCOfkzyI2rnSsvBrwIwMzDM4lLjVM5kRDCLLV6HXQ2cHGXYWRvIXJR4GKpQ4cOaLWP1dVJPK6sW3BV24GuwOOKlhj9/fpTxaUKsamxfHv4W7XjCCHMkasvNBpqeL1lqmGwXyH+Q6oeSyT9lfLFWmvNW4FvAbAiYgUnbp9QOZEQwiw9MQFsSsGNI3BCbtuLnKRYsjQJ0XDjqOG1DBnwUIFlA+lepTsKCtP2TiNDn6F2JCGEuSnlAS1eMbwOnQYZqarGEeZHiiVLc26r4atPQ8M/cPFQrzV+DScbJ8JjwlkWvkztOEIIcxQ0BpzKQtxlCJurdhphZqRYsjTGW3Ad1M1hQdzt3Xm1kWFk75mHZ3I5/rLKiYQQZsfGAdpNNrze+Skk3lQ3jzArj9Q7ODQ0lNDQUG7evIn+P53hFixYUCjBRC4y0+H8dsNr6a9UIH2r92XTxU2E3Qhj8u7JLOy0EJ1Wp3YsIYQ5qf8MHPjeMF9c6HvQS+aYFAYFbll677336NixI6Ghody+fZu7d+9mW4QJXdkPqXHgUAZ8GqidxqJoNVqmNZ+Gg5UDh28e5qfwn9SOJIQwN1otdPnE8PrwT3D1oLp5hNkocMvSnDlzWLRoEc8995wp8oi8nLs/cW61YJBWkQLzKeXDG03e4L297/H1oa8JLBuIf2l/tWMJIcyJb1PDNChHf4Y/3oDhW+T/W1HwlqW0tDSaN29uiiziYc7eL5bkFtwj61u9L23KtyFdn84bf75BUnqS2pGEEOYm+F2wcTIMAPy3dC0Rj1AsjRgxgmXL5ImiIhd3DaJPgEZrGIxSPBKNRsP0FtPxcvDiYvxF3t/3PoqiqB1LCGFOnLwheKrh9db3IP66unmE6gp8Gy4lJYV58+axdetW6tWrh7W1dbb3v/jii0ILJ/4l6xZcucbgUFrdLBbO1c6VT574hP9t+h/rLqyjjnsdBtUcpHYsIYQ5aTwcjq2AqwdgwxswcKnaiYSKCtyydOzYMQICAtBqtZw4cYLDhw8blyNHjpggogDkFlwha+jVkFcavgLApwc+Ze/1veoGEkKYF60WenwNWis4vQ6Or1Y7kVCRRpF7EI8tPj4eFxcX4uLicHZ2LvwTZKTBJ5UhLRFG/Qk+AYV/jhJIURQm755MyPkQnGyc+KnrT1RxqaJ2LCGEOdk+A/78yDBx+Yv7wLms2olEIcrvz+/HGpTy6tWrXL169XEOIfLj8l5DoeToCd711E5TbGg0GqYETaG+R30S0hIYtXkU1xOlb4IQ4l+eeB3KBkBKLISMBWlfKJEKXCzp9XqmTZuGi4sLFStWpGLFiri6ujJ9+vQcA1SKQvLvUbu1Muh6YbLV2fJNu2+o7FKZ6ORoRm4eye17t9WOJYQwFzpreHIeWNkZppvaP0/tREIFBf7J+/bbb/Ptt9/y0UcfGfsqffjhh8ycOZN33nnHFBmFsb+STHFiCqXtSjO/w3zKlSrH5YTLDN04lKsJ0mIqhLjPww86TDO83vS2DFZZAhW4z5KPjw9z5syhZ8+e2davXbuWF198kWvXrhVqQEtg0j5Ldy/B1/VAo4MJF8DetXCPL4yuxF9hxOYRXE+6joe9B7ODZ+NX2k/tWEIIc6AosHIwhIeAiy88v1OeTC4GTNZnKSYmBn//nKMe+/v7ExMTU9DDiYfJGjKgQjMplEzM19mXJV2XUM21Grfu3eK5P55j/YX1ascSQpgDjcYwV1zpqhB3BVYPM8zXKUqEAhdL9evX59tvv82x/ttvv6V+/fqFEkr8y9l/TXEiTM7TwZNFnRfR1Lsp9zLu8eauN3l3z7skpCWoHU0IoTY7Z+j/I1g7woUdsO5V6fBdQhS4WPrkk09YsGABtWrVYvjw4QwfPpxatWqxaNEiPv30U1NkzGbWrFlUqlQJOzs7AgMD2b9/f57br1q1Cn9/f+zs7Khbty4bNmzI9r6iKEyZMoWyZctib29PcHAwZ8+eNeUl5F96Clz40/BaxlcqMi62LszrMI/n6z2PBg2/nP2FHmt6EHI+hEx9ptrxhBBq8q4DTy0wzKZweAns+lztRKIIFLhYat26NWfOnKFPnz7ExsYSGxvLk08+SUREBK1atTJFRqMVK1Ywfvx4pk6dyqFDh6hfvz6dOnXi5s2buW6/Z88enn76aYYPH87hw4fp3bs3vXv35sSJE8ZtPvnkE7755hvmzJlDWFgYjo6OdOrUiZSUFJNeS75c2g0Z98DJB7xqq52mRNFpdYxtMJb5HedTybkSd1Lu8PZfb9N9TXd+OvUTd+7dUTuiEEItfp2h88eG19umS8FUAljUoJSBgYE0adLEeBtQr9fj6+vLSy+9xJtvvplj+wEDBpCUlMS6deuM65o1a0ZAQABz5sxBURR8fHx47bXXeP311wGIi4vDy8uLRYsWMXDgwHzlMlUH77OLx1A98ieuVO7HzTafUtvHGTtrmf26qKVlpvHjqR9ZeGIh8WnxxvV+bn7Udq+Nl4MXLrYuaNComNJ8aTTyuTwOW50tXg5e+JTyoaJzRbQaGT7EbOz4CHbMACDCtx93HaupHKh4q9lxBC6l3Qv1mPn9+Z2vueGOHTtGnTp10Gq1HDt2LM9t69UzzaCJaWlpHDx4kEmTJhnXabVagoOD2bs396kq9u7dy/jx47Ot69SpE7/99hsAkZGRREVFERz8T38gFxcXAgMD2bt37wOLpdTUVFJTU43fx8fH57rd47K/uA2A9yPKsyl8DzY6LfV9XehcpyxPNSyPi4P1Q44gCoONzoYRdUfwjP8zrLuwjtVnVhMeE07E3Qgi7kaoHU+UIGXsytCiXAu6VO5CC58WUoiqrc2bKFb2aLZOwe/KKrXTFHtXGnUp9GIpv/JVLAUEBBAVFYWnpycBAQFoNJpcZ2rXaDRkZpqmT8ft27fJzMzEy8sr23ovLy9Onz6d6z5RUVG5bh8VFWV8P2vdg7bJzYwZM3jvvfcKfA0FkpnBBe/OpMbsJdG9BR5xGm4lpHLg4l0OXLzLJxtP07dReV4NroGHk61pswgAHKwd6O/Xn/5+/blz7w77o/ZzKf4S0cnR0gH8Acy94VrBvPMBJGckE50UzdWEq9xJuUPI+RBCzodQxaUK/6vzP3pU7SGtTSoKrzKMWWm36Wa1H29n+b/YlHwdXVQ7d76KpcjISDw8PIyvS7pJkyZla7GKj4/H19e3cE+is+KJ578EYCmGHzqX7iSz8+wtloVd5nRUAsvCLhNy5Dpj2lZjZKvKWOnkP8yiUsa+DF0qd1E7hihB0jLTOHzzMNsub2Pt+bVciLvA5N2TWXlmJZMDJ1OzTE21I5ZIW05Fs17fjNSqvfh+SGO14wgTyddP14oVKxqbey9dukS5cuWMU51kLeXKlePSpUsmC+ru7o5OpyM6Ojrb+ujoaLy9vXPdx9vbO8/ts74W5JgAtra2ODs7Z1tMTaPRUMndkcFBlfhjXCuWj2pG/fIuJKZm8PHG0/Sfu5crMckmzyGEUIeNzobAsoFMCpzElqe28ErDV3CwcuDYrWMMXD+QH47/gF6RKaeK2pZww12IjrW8HrKlsGQFbopo27ZtroNPxsXF0bZt20IJlRsbGxsaNWpEaGiocZ1eryc0NJSgoKBc9wkKCsq2PcCWLVuM21euXBlvb+9s28THxxMWFvbAY5oDjUZDsyplWPNiCz59qh5OtlYcuhxL1693sfVU9MMPIISwaE42TgyvO5zf+/xOx4od0St6vjr0FS9veznbQwjCtK7H3uPEtXg0GmhX01PtOMKEClwsKYqSa6fCO3fu4OjoWCihHmT8+PHMnz+fxYsXEx4ezujRo0lKSmLYsGEADB48OFsH8HHjxrFx40Y+//xzTp8+zbvvvsvff//N2LFjAUPR8corr/D+++8TEhLC8ePHGTx4MD4+PvTu3duk11IYtFoN/Rr7smFcKxpVdCMhNYNRS/7mx70X1Y4mhCgCng6efNb6M6YGTcVGa8OfV/9k6Mah3EzOfTgVUbi2hht+OW1UwQ33UtJfqTjLV58lgCeffBIwFBhDhw7F1vafvxiZmZkcO3aM5s2bF37CfxkwYAC3bt1iypQpREVFERAQwMaNG40dtC9fvoxW+0/917x5c5YtW8bkyZN56623qF69Or/99ht16tQxbjNhwgSSkpIYNWoUsbGxtGzZko0bN2JnZ2fSaylMvqUdWD6qGe/8doLlB64wZe1JouJSeKOTnzwtI0Qxp9FoeKrGU9QqU4uxoWM5e/csg/8YzLwO86jgXEHteMXalvst+R3kFlyxl+9xlrJabxYvXkz//v2xt7c3vmdjY0OlSpUYOXIk7u7qPNanJpNOpFsAiqLw3Y7zfLrJ8Dj76DZVmSAFkxAlxpWEKzy/5XmuJFzBy8GLH7v8iE8pH7VjFUvxKek0mr6F9EyFba+1popHKbUjiUdQqOMsASxcuBCASpUq8frrr5v8lpsoOI1Gw5i21Shla8XUkJPM3nEenUbD65381I4mhCgCvk6+/NjlR4ZvGs6FuAuM2jKKRZ0X4W5f8n6JNbUdEbdIz1So6uEohVIJUOA+S1OnTpVCycwNaV6JqT1qAfDt9nMs3nNR3UBCiCLjbu/O3A5z8XH04VL8JUZvHU1yujwpW9i2Gm/BPfjJaVF8PNLAPKtXr6Z///40a9aMhg0bZluEeRjWojJv3G9Revf3k2w++eBBNoUQxYu3ozfzO86ntF1pTsec5q2/3pJhBQpReqae7RGGTvQdaslTcCVBgYulb775hmHDhuHl5cXhw4dp2rQpZcqU4cKFC3TpIoP0mZMX21Tl6aYVUBR4eflhjl+NUzuSEKKIVHCuwNdtv8Zaa03o5VDmHJ2jdqRiI+xCDAkpGbiXsiHA103tOKIIFLhY+u6775g3bx4zZ87ExsaGCRMmsGXLFl5++WXi4uSHsTnRaDRM71WbNn4epKTreeGng8QkpakdSwhRRAI8A3in2TsAzD46mx1Xdqiap7jYcsrQUt/e3wudVh6gKQkKXCxdvnzZOESAvb09CQmGObGee+45fv7558JNJx6blU7L1wMbUKmMA9di7/HSz4fIyJTmeCFKij7V+zCo5iAAJu+eTFSS3JJ/HIqiyJABJVCBiyVvb2/jCN4VKlRg3759gGHOOHOfNLOkcrG3Zu5zjXGw0bH73B2+2HJG7UhCiCI0vtF4apWpRVxqHBN3TiRDn6F2JIt18no81+NSsLfW0bK6PGVYUhS4WGrXrh0hISGAYeylV199lQ4dOjBgwAD69OlT6AFF4fDzduLjvvUAmP3neXafu61yIiFEUbHR2fDZE5/haO3IoZuHmH98vtqRLFZWq1Kr6u7YWetUTiOKSr4Hpcyi1+vR6/VYWRmGaFq+fDl79uyhevXqPP/889jY2JgkqDkzl0Ep82PSr8f4ef8VPJ1s+WNcK8rIEP1ClBjrL6znzV1vYqWxYnn35fiVljHYCqrL17sIvxHP5/3q07dRebXjiMeU35/fBW5Zunr1KjrdP9X0wIED+eabbxg7dixRUXIv3NxN6V6bap6luJmQysRfjsmtUyFKkK6VuxJcIZgMJYPJuyeTrk9XO5JFuRKTTPiNeHRaDe38ZciAkqTAxVLlypW5detWjvUxMTFUrly5UEIJ07G30THz6QZY6zRsDb/Jb0euqR1JCFFENBoNbzd7G1dbV07HnOb7Y9+rHcmibLo/Xl3TSqVxcyx5d1FKsgIXS4qi5DrXWGJiokVNPluS1SzrzMvtqgPwbsgpbiakqJxICFFU3O3deTvwbQDmHZ/HhbgLKieyHJvv91fqWFuegitp8j033Pjx4wHDbybvvPMODg4OxvcyMzMJCwsjICCg0AMK03ihTVU2nozi5PV43vntBHOebSQT7gpRQnSq1InfL/zOzqs7+WDfB3zf8Xv59/8QdxJT+fui4UnwjrVlipOSJt8tS4cPH+bw4cMoisLx48eN3x8+fJjTp09Tv359Fi1aZMKoojBZ67R8+lR9rLQaNp2MZt2xG2pHEkIUEY1Gw6Smk7DT2bE/aj/rI9erHcnshYbfRK9AnXLOlHO1VzuOKGL5blnavn07YBgu4Ouvvzb7p77Ew9XycebFttX4JvQsU0NO0rxqGXk6TogSorxTeZ6v/zxfH/qaTw98SuvyrXGycVI7ltnafH/U7o4ycW6JVOA+S1999RUZGTkHNIuJiSE+Pr5QQomiM7ZtNfy9nYhJSmNKyEm14wghitCQWkOo7FKZmJQY5h2bp3Ycs5WUmsHOs4ax6aS/UslU4GJp4MCBLF++PMf6lStXMnDgwEIJJYqOjZXhdpxOq2H9sRtsvd+BUQhR/FnrrHmj8RsA/BT+E5fiL6mcyDztOnuLtAw9Fcs44OclrW8lUYGLpbCwMNq2bZtjfZs2bQgLCyuUUKJo1S3vwohWhmEf3v39JCnpmSonEkIUlVblW9GiXAsy9Bl8/vfnascxS5tP3n8KrpaXdIQvoQpcLKWmpuZ6Gy49PZ179+4VSihR9Ma1r46Pix1X797jux3n1Y4jhChCExpPQKfRsf3KdsJuyC+9/5aeqWdreNaQAdJfqaQqcLHUtGlT5s3LeW97zpw5NGrUqFBCiaLnYGPFO91rATDnz/NcvJ2kciIhRFGp4lqF/n79Afjy4Jcysv+/7I+MIT4lgzKONjSs4KZ2HKGSfD8Nl+X9998nODiYo0eP0r59ewBCQ0M5cOAAmzdvLvSAouh0ruNNq+ru7Dp7m3d/P8nCoU2kyVmIEuL5es+z9txaTt45yeZLm+lUqZPakczC5vujdgfX9EKnlf8PS6oCtyy1aNGCvXv3Ur58eVauXMnvv/9OtWrVOHbsGK1atTJFRlFENBoN7/WsjbVOw46IW8bRaoUQxV8Z+zIMrT0UgG8OfSPzxgF6vSKjdgvgEYolgICAAJYtW8bJkyf5+++/WbBgAdWrVy/sbEIFVTxKMeqJKgBM+/0U99Kks7cQJcXg2oMpbVeaywmXWXN2jdpxVHf4yl1uxKXgZGtFi2ruascRKnqkYun8+fNMnjyZZ555hps3bwLwxx9/cPKkjNNTHIxtW51yrvZci73HrO3n1I4jhCgijtaOPF/veQDmHZtHWmaayonUlTWzQXAtL+ysdSqnEWoqcLH0559/UrduXcLCwvjll19ITEwE4OjRo0ydOrXQA4qiZ2+jY0oPQ2fvebsucCUmWeVEQoii0rdGXzztPYlOjua3c7+pHUc1er3CH8cN/ZW61S2rchqhtgIXS2+++Sbvv/8+W7ZswcbGxri+Xbt27Nu3r1DDCfV0rOVF86plSMvQ8/HG02rHEUIUEVudLf+r+z8A5h+fT3pmyey7dOjyXaLiDbfgWtWQW3AlXYGLpePHj9OnT58c6z09Pbl9+3ahhBLq02g0TO5WC43G0BR98FKM2pGEEEXkqRpP4WHvQVRSFGvOlcy+S+uPG27Bdajlha2V3IIr6QpcLLm6unLjRs4Z6g8fPky5cuUKJZQwD7V8nBnQ2BeAaevC0etl7BUhSgJbnS3D6w4H4Pvj35e41iW9XmHD/WKpq9yCEzzi3HATJ04kKioKjUaDXq9n9+7dvP766wwePNgUGYWKxnesgaONjqNXYgk5el3tOEKIItK3el/c7d25kXSDtefXqh2nSB28fJfo+FS5BSeMClwsffjhh/j7++Pr60tiYiK1atXiiSeeoHnz5kyePNkUGYWKPJ3seLFtNQA+3nhahhIQooSws7Ljf3Xu9106VrL6Lq0/JrfgRHYFLpZsbGyYP38+58+fZ926dfz000+cPn2aJUuWoNPJX6riaHjLypRztedGXArzd11QO44Qooj0q9GPMnZluJ50nZDzIWrHKRJ6vcIfJwzFUrd6cgtOGDzSOEsAFSpUoEuXLvTr169IBqSMiYlh0KBBODs74+rqyvDhw43DFjxo+5deegk/Pz/s7e2pUKECL7/8MnFxcdm202g0OZbly5eb+nIsip21jold/AGYveM80fEpKicSQhQFOys7htUZBtx/Mq4EjOr971twLavLLThh8EjF0g8//ECdOnWws7PDzs6OOnXq8P333xd2tmwGDRrEyZMn2bJlC+vWrWPnzp2MGjXqgdtfv36d69ev89lnn3HixAkWLVrExo0bGT58eI5tFy5cyI0bN4xL7969TXgllqlHvbI0rODKvfRMPt0UoXYcIUQR6e/Xn9J2pbmWeI3NF4v//J/GW3C15Rac+EeBi6UpU6Ywbtw4evTowapVq1i1ahU9evTg1VdfZcqUKabISHh4OBs3buT7778nMDCQli1bMnPmTJYvX87167l3Oq5Tpw6//PILPXr0oGrVqrRr144PPviA33//nYyMjGzburq64u3tbVzs7OxMch2WTKPR8E53w0CVvxy6yolrcQ/ZQwhRHNhb2fO0/9MALDq5CEUpvk/F/vspuO5yC078S4GLpdmzZzN//nxmzJhBz5496dmzJzNmzGDevHl89913psjI3r17cXV1pXHjxsZ1wcHBaLVawsLC8n2cuLg4nJ2dsbKyyrZ+zJgxuLu707RpUxYsWPDQ/wxSU1OJj4/PtpQEDSq40SvAB0WBaetOFev/NIUQ/xjoNxB7K3tOx5xm343iO/jw35fucjMhFSc7K1pW81A7jjAjBS6W0tPTsxUtWRo1apSjxaawREVF4enpmW2dlZUVpUuXJioqKl/HuH37NtOnT89x627atGmsXLmSLVu20LdvX1588UVmzpyZ57FmzJiBi4uLcfH19S3YBVmwCZ39sbXSsj8yhk0n8/fZCyEsm6udK72r9QYMrUvF1W9HrgHQsZY3NlaP3KVXFEMF/tvw3HPPMXv27Bzr582bx6BBgwp0rDfffDPXDtb/Xk6ffvypNuLj4+nWrRu1atXi3XffzfbeO++8Q4sWLWjQoAETJ05kwoQJfPrpp3keb9KkScTFxRmXK1euPHZGS1HO1Z6RraoAMOOP06RmyFACQpQEg2sNRqvRsuf6HiJiil+/xZT0TNbdH0vuyYYywLLIzurhm+T0ww8/sHnzZpo1awZAWFgYly9fZvDgwYwfP9643RdffJHncV577TWGDh2a5zZVqlTB29ubmzdvZlufkZFBTEwM3t7eee6fkJBA586dcXJyYs2aNVhbW+e5fWBgINOnTyc1NRVbW9tct7G1tX3geyXB6DZVWfH3FS7dSebHPZcY+UQVtSMJIUysvFN5OlTswKaLm1h0chEzWs1QO1Kh2n76JvEpGXg729GsShm14wgzU+Bi6cSJEzRs2BCA8+fPA+Du7o67uzsnTpwwbqfRaB56LA8PDzw8Hn5fOCgoiNjYWA4ePEijRo0A2LZtG3q9nsDAwAfuFx8fT6dOnbC1tSUkJCRfHbePHDmCm5tbiS6GHsbR1orXO9Zg4i/H+WbbWfo2Kk9pR5uH7yiEsGjDag9j08VNbIzcyLiG4/B2zPuXVUvy62HDLbheDXzQaR/+80uULAUulrZv326KHHmqWbMmnTt3ZuTIkcyZM4f09HTGjh3LwIED8fHxAeDatWu0b9+eH3/8kaZNmxIfH0/Hjh1JTk7mp59+ytYR28PDA51Ox++//050dDTNmjXDzs6OLVu28OGHH/L6668X+TVamqca+bJozyXCb8Tz1dYzTOtVR+1IQggTq+1emybeTTgQdYAlp5bwRpM31I5UKO4mpbEjwnD34skG5VVOI8xRgfss3bp164HvHT9+/LHC5GXp0qX4+/vTvn17unbtSsuWLZk3b57x/fT0dCIiIkhOTgbg0KFDhIWFcfz4capVq0bZsmWNS1YfI2tra2bNmkVQUBABAQHMnTuXL774gqlTp5rsOooLnVbDO91qArA07DLnbiaonEgIURSG1h4KwOozq4lPKx5PAq87dp30TIVaZZ3x83ZSO44wQxqlgM9/e3t788MPP9CtW7ds6z/77DPeeecd7t27V6gBLUF8fDwuLi7GoQlKkhGL/2ZreDTt/D1ZMLSJ2nGEECamKApPhjzJudhzvNLwFYbXzTnQr6Xp891uDl+OZXK3moxoJX0wS5L8/vwucMvS+PHj6du3L6NHj+bevXvG21+ffPIJy5Yte6zQwvK81dUfK62Gbadvsuvsg1sdhRDFg0ajYUjtIQAsj1hOht40Q8YUlcjbSRy+HItWAz3r+6gdR5ipAhdLEyZMYO/evezatYt69epRr149bG1tOXbsGH369DFFRmHGqniU4rmgigC8vy6cTL0MVClEcdelchdK25UmKimKbZe3qR3nsay537G7VXUPPJ1l9gaRu0cadatatWrUqVOHixcvEh8fz4ABAx76CL8ovsa1r46LvTUR0QmsOFByxpwSoqSy1dnyVI2nAFgavlTlNI9OURR+u18sydhKIi8FLpZ2795NvXr1OHv2LMeOHWP27Nm89NJLDBgwgLt375oiozBzrg42vNy+OgBfbIkgIaX4z0wuREnXv0Z/rDRWHLp5iPA74WrHeSQHL93lckwyjjY6OtaSX/jFgxW4WGrXrh0DBgxg37591KxZkxEjRnD48GEuX75M3bp1TZFRWIDnmlWksrsjtxPTmL3jvNpxhBAm5uXoRYeKHQBYdtoy+6tmja3UuU5Z7G10KqcR5qzAxdLmzZv56KOPso2EXbVqVXbv3s3zzz9fqOGE5bCx0jKpiz8A3/8VyZWYZJUTCSFMbVAtwxRXGy5sICYlRuU0BSPTm4iCKHCx1Lp169wPpNXyzjvvPHYgYbk61PIiqEoZ0jL0fLKp+M0dJYTIrp57PeqUqUOaPo3VZ1arHadANhy/QXxKBuVc7QmS6U3EQ+S7WOratStxcXHG7z/66CNiY2ON39+5c4datWoVajhhWTQaDZO710Sjgd+PXufgJenDJkRxptFoeKbmMwCsOL2CdL3l9Fdcfv9hlAFNfNHK9CbiIfJdLG3atInU1FTj9x9++CExMf80u2ZkZBARIa0JJV1tHxf6NTJMFzB93SkKOOapEMLCdKrUiTJ2Zbh57yahl0LVjpMv528lsj8yBq0G+jWW6U3Ew+W7WPrvDz35ISge5PWOfjjY6DhyJZaQ+30ChBDFk43OhgF+AwDLGUZg5f1WpTZ+npR1sVc5jbAEjzTOkhB58XS2Y3TrqgB8uCGcxFTLHuFXCJG3fn79sNJaceTWEU7dOaV2nDylZehZffAqAAOb+KqcRliKfBdLGo0GjUaTY50QuRn5RBUqlHYgOj6VmaFn1Y4jhDAhd3t34zACKyNWqpwmb5tORnEnKQ1PJ1va+XuqHUdYCKv8bqgoCkOHDsXW1haAlJQUXnjhBRwdHQGy9WcSws5ax7s9a/G/RX/zw1+R9GtcnmqeMpu3EMXVAL8B/BH5BxsiN/Ba49dwsjHPf+9L9l4CYGDTCljp5OaKyJ98/00ZMmQInp6euLi44OLiwrPPPouPj4/xe09PTwYPHmzKrMLCtPP3IrimJxl6hSlrT0o/NyGKsYaeDanmWo17GfcIOR+idpxcnY6KZ//FGHRaDc80raB2HGFB8t2ytHDhQlPmEMXU1B612XX2NnvO32H98Rt0ryezegtRHGk0Gvr79efDsA9ZGbGSZ/yfMbuuGlmtSp1qe+HtIpPmivyTNkhhUr6lHRjdxtDZ+/114SRJZ28hiq0eVXpgb2XPhbgL/B39t9pxsolPSWfN/elNnmtWSd0wwuJIsSRM7oXWValQ2oGo+BS+2SadvYUorkrZlKJ7le4ArIhYoXKa7Fb/fZXktExqeJWiWZXSascRFkaKJWFydtY6pvYwjO7+w65Iwm/Eq5xICGEqWWMuhV4K5fa92yqnMcjUKyzcEwnA4KBKZnd7UJg/KZZEkWhf04uOtbzI0CtM/OUYGZl6tSMJIUzAr7Qf9T3qk6Fk8OvZX9WOA8CWU1FcibmHm4M1fRvKiN2i4KRYEkVmeu86ONlZcexqHAt3X1Q7jhDCRLJal1adWUWmPlPlNDB/l6FV6dlmFbG30amcRlgiKZZEkfFytmNyt5oAfL4lgou3k1ROJIQwhY6VOuJq60pUUhQ7r+5UNcuhy3c5eOkuNjotzwVVVDWLsFxSLIki1b+xL82rliElXc+bvx6TsZeEKIZsdbb0rtYbgBVn1O3o/f2uCwD0DPDB00mGCxCPRoolUaQ0Gg0fPVkPO2st+y7EsPz+hJZCiOKlf43+AOy5tocrCer8Oz93M4E/TkQBMLJVFVUyiOJBiiVR5CqUceD1jn4AfLg+nKi4FJUTCSEKm6+zLy18WqCgsOrMKlUyzN5xAUWBDrW88PM2z+lXhGWQYkmoYliLytT3dSUhNYM3Vh9Fr5fbcUIUN/39DK1La86uITWzaOcPvRKTzG9HDINQjmlbrUjPLYofKZaEKnRaDZ89VQ9bKy27zt5mwe5ItSMJIQrZE+WfwMvBi9jUWDZf3Fyk55678zyZeoWW1dwJ8HUt0nOL4keKJaGa6l5OvNPdMFjlxxtPc+JanMqJhBCFyUprxVM1ngJgZcTKIjvvtdh7rDxwFZBWJVE4pFgSqhoUWIGOtbxIz1R4+efDMnecEMVM3+p9sdJYceTWEc7cPVMk5/x221nSMvUEVi4tU5uIQiHFklCVRqPh47718Ha248LtJN77/aTakYQQhcjDwYO2FdoCsCrC9B29L95OYuXfhlalNzr5ydQmolBIsSRU5+Zow5cDAtBoYOXfV1l37LrakYQQhahfjX4A/H7hd5LTk016rq9Dz5KpV2jj50HjStKqJAqHFEvCLARVLcOYNoa+BZN+PS6jewtRjASWDaSCUwWS0pP4I/IPk50n/Ea88Qm4rOFJhCgMFlMsxcTEMGjQIJydnXF1dWX48OEkJibmuU+bNm3QaDTZlhdeeCHbNpcvX6Zbt244ODjg6enJG2+8QUaG9JtRw7jg6jSq6EZCSgajlvwt/ZeEKCa0Gq2xdWnlGdN09FYUhffXn0JRoFu9stQp52KS84iSyWKKpUGDBnHy5Em2bNnCunXr2LlzJ6NGjXrofiNHjuTGjRvG5ZNPPjG+l5mZSbdu3UhLS2PPnj0sXryYRYsWMWXKFFNeingAa52W7wY1xMPJljPRibyx+qhMhyJEMdGrWi+stdacunOKk7cLv29iaPhNdp+7g42Vljc7+xf68UXJZhHFUnh4OBs3buT7778nMDCQli1bMnPmTJYvX87163n3b3FwcMDb29u4ODs7G9/bvHkzp06d4qeffiIgIIAuXbowffp0Zs2aRVpamqkvS+TCy9mOOc82xFqnYcPxKL4OPat2JCFEIXCzc6NjpY5A4bcupWXo+XBDOADDW1bGt7RDoR5fCIsolvbu3YurqyuNGzc2rgsODkar1RIWFpbnvkuXLsXd3Z06deowadIkkpP/6Vy4d+9e6tati5eXl3Fdp06diI+P5+TJB//mk5qaSnx8fLZFFJ5GFUszvVcdAL7aepZfD11VOZEQojBk3Yr7I/IPEtISCu24i/dc5MLtJNxL2fBim6qFdlwhslhEsRQVFYWnp2e2dVZWVpQuXZqoqKgH7vfMM8/w008/sX37diZNmsSSJUt49tlnsx3334USYPw+r+POmDEDFxcX4+Lr6/solyXyMLBpBZ5vbZj4cuIvx9hz/rbKiYQQj6uhZ0OqulTlXsY91l1YVyjHvHo3mS+2GMZvmtDJHyc760I5rhD/pmqx9Oabb+bogP3f5fTp0498/FGjRtGpUyfq1q3LoEGD+PHHH1mzZg3nz59/rNyTJk0iLi7OuFy5os6M2sXdxE7+dKtblvRMhZGL/+bolVi1IwkhHoNGo6Gf3/2O3hErH7tPoqIovBtyknvpmTStVJp+jcsXRkwhcrBS8+SvvfYaQ4cOzXObKlWq4O3tzc2bN7Otz8jIICYmBm9v73yfLzAwEIBz585RtWpVvL292b9/f7ZtoqOjAfI8rq2tLba2tvk+r3g0Wq2Gz/vXJyYpjb0X7jBk4X5WjAqS2cOFsGA9qvbgq4NfcS72HEduHaGBZ4NHPtamk1FsDb+JtU7DB33qyACUwmRUbVny8PDA398/z8XGxoagoCBiY2M5ePCgcd9t27ah1+uNBVB+HDlyBICyZcsCEBQUxPHjx7MVYlu2bMHZ2ZlatWoVzkWKx2JnrWP+kMYE+LoSm5zOoO/3cTpK+ogJYamcbZzpUrkL8Hjzxd1JTGXybycAeP6JqlT3kl+ihOlYRJ+lmjVr0rlzZ0aOHMn+/fvZvXs3Y8eOZeDAgfj4+ABw7do1/P39jS1F58+fZ/r06Rw8eJCLFy8SEhLC4MGDeeKJJ6hXrx4AHTt2pFatWjz33HMcPXqUTZs2MXnyZMaMGSMtR2aklK0Vi4Y1oVZZZ24npjFw3j6ZdFcIC9bfrz8Amy9u5m7K3QLvrygKk349zu3ENPy8nBjbTibLFaZlEcUSGJ5q8/f3p3379nTt2pWWLVsyb9484/vp6elEREQYn3azsbFh69atdOzYEX9/f1577TX69u3L77//btxHp9Oxbt06dDodQUFBPPvsswwePJhp06YV+fWJvLk62PDzyGbUv9/C9PS8few5J52+hbBEtcvUpmbpmqTp0wg5H1Lg/VcdvMrmU9FY6zR8MaA+dtY6E6QU4h8aRUb9e2zx8fG4uLgQFxeXbRwnUfgSUtIZvvhv9kfGYKXV8FHfejzVSDp1CmFpVp1ZxbS906joXJHfe/+e7/5G524m0PPb3SSnZTKhsx8vtpFWJfHo8vvz22JaloQAcLKz5sf/NaVHfR8y9AqvrzrKB+tPkZ6pVzuaEKIAulbuiqO1I5fiL7E/av/DdwASUzN4fslBktMyCapShuefkDGVRNGQYklYHDtrHV8PCGBMW8N/lPN3RfLM/H1ExaWonEwIkV+O1o50r9IdyF9Hb0VRmLj6GOdvJeHtbMfMZxqg08rTb6JoSLEkLJJWq+GNTv7MebYRTrZWHLh4l45f/smaw1dlPjkhLETWiN7bLm/j9r28+yB+seUM64/fwFqnYdaghriXkodwRNGRYklYtM51vAl5qSX1yrsQn5LBqyuOMmLx31y6k6R2NCHEQ/iV9qO+R30ylAzWnF3zwO2WhV1m5rZzAEzvVYdGFd2KKqIQgBRLohio7O7Ir6Ob81qHGljrNISevkmHL3fyycbTxCWnqx1PCJGHrGEEVp9ZTaY+M8f7G0/cYPJvxwF4uX11BjatUKT5hAAplkQxYaXT8lL76mx4uRUtq7mTlqHnux3nafnxNj7fHMHNBOnPJIQ56lixI842zlxPus7u67uzvbfu2HXGLDuMXoF+jcrzanB1lVKKkk6KJVGsVPdyYsnwpsx7rhH+3k4kpGYwc9s5Wny0jZd/PsxfZ2+TIU/OCWE27Kzs6Fm1J2AYTiDL6oNXefnnw2TqFZ5sWI6P+taT6UyEamScpUIg4yyZJ71eYdPJKObvusChy7HG9e6lbAiu6cUTNTxoXrUMrg426oUUQnAh7gK9fuuFVqPljz4b+Wl3HN/tMEx43r9xeWY8WU+efBMmkd+f31IsFQIplszfiWtxLNt/mT+O3+Duf/oxVXF3pF55Fyq7l6JiGQcqlHGgYmkHSjvayG+yQhSR/236HweiDlCOnpwObw7AmLZVea2DH1oplISJSLFUhKRYshzpmXr2nL/Djoib7Dxzi/O3HvzUnE6rwdnOCmd7a5ztrHG01WGl1aLVatBpDO9rNRrjV/Lx/3l+/svPb4GWv2MV1nEKL1P+Pqd8nq/Qri8/xynETIX0QdnoNDjYWuFgrcPB1opStjrcHGxwd7LF3dGWMqVscLDRWUTR/8WelSw8Ox19uhPpkW/x8VMB9Gkgo/ML08rvz2+rIswkhOqsdVpa1/CgdQ0PAGKS0jh6JZaT1+O4dCeZSzHJXL6TTFR8Cpl6hbvJ6TlaooSwJKVsrSjvZo9vaQd83RyoUNqe6l5O1PBywr2U+q2nV2KSmfFHOBuO2+JY3RGtdQKTntJLoSTMihRLokQr7WhDW39P2vp7Zlufkp7J3eQ0ElIyiL+XTkJKBgmpGej1Cpl6hUxFMby+/1Wfj/bZ/DTi5reZNz/twfk5VmE2LOcvUz4+g0K6tvwfq3Ay5Ve+/h7k8zNIz9STlJrJvfQMklIzSUzN4E5SGncSU7mdmEpKup7E1AxORyVwOiohxzFKO9pQ3bMUft6G4inrq4u99SNcWcFcuJXID39FsurgVdIy9Gg1VtQsFUxEylr23V7PMHqaPIMQ+SW34QqB3IYTQpgbRVFISsskKu4eV2LucTkmmSsxhtbTs9EJXIpJfmBRVtbFDn9vJ/y8ne9/daKqRylsrB7vAeq7SWlsORVNyNHr7D5/23j+FtXK8E73Wjg6xtHt124oKKzvs54KzjKmkjAtuQ0nhBAlmEajoZStFdU8najm6ZTj/XtpmZy/lUhEVAJnohOIiE7gTFQC1+NSuHF/2R5xy7i9lVZDFQ9Hqns5Uc7VHm9nO3xc7fB2scfNwRoHGyusdRoy9QppmXpiktK4nZhG5K1Ezt5M5OCluzlat9r7ezLqiSo0rVz6/u1AZ1qUa8Ff1/5iecRyJjSZYOqPSYh8kZalQiAtS0KI4iLuXjpnog237SKi4om4fwsvISWjUI7v7+1Ej/o+9KjnQ4UyDjne33l1J2NCx+Bk7cTWfltxsM65jRCFRVqWhBBCFJiLvTVNKpWmSaXSxnWKonAjLoWIqATO30rkRlwKUXEpXI+7R1RcCvH30klK+2eqEiutBjdHG0o72FCxjANVPUtRt5wLTSuXfugEuC3LtcTXyZcrCVdYH7neONmuEGqSYkkIIUSeNBoNPq72+Lja53gYIkvWAw86jeaxxkXSarQM9BvIp39/yrLwZTxV/SnVn9gTQqY7EUII8di0Wg3WOm2hDCDZu3pv7K3sORd7jr+j/y6EdEI8HimWhBBCmBVnG2e6V+kOwM+nf1Y5jRBSLAkhhDBDA/0HArDt8jaikqJUTiNKOimWhBBCmJ0abjVo4t2ETCWTlREr1Y4jSjgploQQQpilp/2fBuCXs7+QlpmmchpRkkmxJIQQwiy19W2Ll4MXMSkxbLq4Se04ogSTYkkIIYRZstJaMcBvAABLTi0p1LkMhSgIKZaEEEKYradqPIWtzpbwmHAORh9UO44ooaRYEkIIYbbc7NzoWbUnAD+e+lHlNKKkkmJJCCGEWXu21rMA7Liyg0vxl9QNI0okKZaEEEKYtSouVXii/BMoKCw5tUTtOKIEkmJJCCGE2RtcazAAa8+tJS41TuU0oqSRYkkIIYTZa+rdFD83P1IyU1h1ZpXacUQJI8WSEEIIs6fRaBhc29C6tCx8GemZ6SonEiWJxRRLMTExDBo0CGdnZ1xdXRk+fDiJiYkP3P7ixYtoNJpcl1Wr/vmtJLf3ly9fXhSXJIQQogC6VOqCh70Ht+7dYuPFjWrHESWIxRRLgwYN4uTJk2zZsoV169axc+dORo0a9cDtfX19uXHjRrblvffeo1SpUnTp0iXbtgsXLsy2Xe/evU18NUIIIQrKWmdtnALlx1M/yiCVoshYqR0gP8LDw9m4cSMHDhygcePGAMycOZOuXbvy2Wef4ePjk2MfnU6Ht7d3tnVr1qyhf//+lCpVKtt6V1fXHNsKIYQwP/1q9GPesXmcjjnN3ut7aV6uudqRRAlgES1Le/fuxdXV1VgoAQQHB6PVagkLC8vXMQ4ePMiRI0cYPnx4jvfGjBmDu7s7TZs2ZcGCBQ/9bSU1NZX4+PhsixBCCNNztXOlb42+AMw7Pk/lNKKksIhiKSoqCk9Pz2zrrKysKF26NFFRUfk6xg8//EDNmjVp3jz7byHTpk1j5cqVbNmyhb59+/Liiy8yc+bMPI81Y8YMXFxcjIuvr2/BLkgIIcQjG1p7KFZaKw5GH+RQ9CG144gSQNVi6c0333xgJ+ys5fTp0499nnv37rFs2bJcW5XeeecdWrRoQYMGDZg4cSITJkzg008/zfN4kyZNIi4uzrhcuXLlsTMKIYTIH29Hb3pV7QXA/OPzVU4jSgJV+yy99tprDB06NM9tqlSpgre3Nzdv3sy2PiMjg5iYmHz1NVq9ejXJyckMHjz4odsGBgYyffp0UlNTsbW1zXUbW1vbB74nhBDC9P5X53+sObeGv679xak7p6hVppbakUQxpmqx5OHhgYeHx0O3CwoKIjY2loMHD9KoUSMAtm3bhl6vJzAw8KH7//DDD/Ts2TNf5zpy5Ahubm5SDAkhhBmr4FyBzpU6syFyA98f/54v2nyhdiRRjFlEn6WaNWvSuXNnRo4cyf79+9m9ezdjx45l4MCBxifhrl27hr+/P/v378+277lz59i5cycjRozIcdzff/+d77//nhMnTnDu3Dlmz57Nhx9+yEsvvVQk1yWEEOLRjahr+H9966WtXIi9oHIaUZxZRLEEsHTpUvz9/Wnfvj1du3alZcuWzJv3z5MQ6enpREREkJycnG2/BQsWUL58eTp27JjjmNbW1syaNYugoCACAgKYO3cuX3zxBVOnTjX59QghhHg81d2q0863HQoK3x//Xu04ohjTKDKq12OLj4/HxcWFuLg4nJ2d1Y4jhBAlxsnbJxm4fiA6jY7f+/yOr5M8nSzyL78/vy2mZUkIIYT4r9rutWnu05xMJZMfjv+gdhxRTEmxJIQQwqI9X+95ANaeW8uVBBnKRRQ+KZaEEEJYtIZeDWnh04IMJYM5R+eoHUcUQ1IsCSGEsHhjG4wFYN2FdVyIkyfjROGSYkkIIYTFq+Neh7a+bdErer478p3acUQxI8WSEEKIYmFMwBg0aNh0cRMnb59UO44oRqRYEkIIUSz4lfaje5XuAHx+8HNkZBxRWKRYEkIIUWyMbTAWG60NB6IOsOvaLrXjiGJCiiUhhBDFhk8pH56p+QwAXx78kkx9psqJRHEgxZIQQohiZUTdETjbOHMu9hy/nP1F7TiiGJBiSQghRLHiYuvCiwEvAjDz8EziUuNUTiQsnRRLQgghip0BfgOo5lqN2NRYGUpAPDYploQQQhQ7VlorJjadCMCKiBWcvXtW5UTCkkmxJIQQolhqVrYZwRWCyVQymbZ3GnpFr3YkYaGkWBJCCFFsTWw6EXsre47cOiKdvcUjk2JJCCFEseXt6M1LDV4C4Mu/v+T2vdsqJxKWSIolIYQQxdoz/s9Qq0wtEtIT+DDsQxnZWxSYFEtCCCGKNZ1Wx7tB72KlsWLLpS1siNygdiRhYaRYEkIIUezVLFOT5+s/D8AHYR8QnRStciJhSaRYEkIIUSKMqDuCOmXqkJCWwDu735Gn40S+SbEkhBCiRLDSWvFBqw+w09mx98ZeFpxYoHYkYSGkWBJCCFFiVHGpwluBbwGGqVAORB1QOZGwBFIsCSGEKFF6V+tNz6o90St6Ju6cyM3km2pHEmZOiiUhhBAlikaj4e3At6nmWo1b927x0raXSE5PVjuWMGNSLAkhhChxHKwd+KbdN7jZunHqzine/utt6fAtHkiKJSGEECWSr5MvX7X9CmutNVsvb2VG2AwZsFLkSoolIYQQJVZDr4ZMbzEdDRqWRyzn878/l4JJ5CDFkhBCiBKtW5VuTAmaAsDiU4v54uAXcktOZCPFkhBCiBLvqRpPManpJAAWnVzEpF2TSMtMUzmVMBdSLAkhhBDAMzWf4f0W72OlsWJD5AZGbh5JVFKU2rGEGZBiSQghhLivV7VezAqehaO1I4duHuKp358i9FKo2rGEyiymWPrggw9o3rw5Dg4OuLq65msfRVGYMmUKZcuWxd7enuDgYM6ePZttm5iYGAYNGoSzszOurq4MHz6cxMREE1yBEEIIS9Dcpzkru6+kdpnaxKXG8cqOVxi9dTQXYi+oHU2oxGKKpbS0NPr168fo0aPzvc8nn3zCN998w5w5cwgLC8PR0ZFOnTqRkpJi3GbQoEGcPHmSLVu2sG7dOnbu3MmoUaNMcQlCCCEsRAXnCizpsoThdYZjpbHir2t/8WTIk4zbNo7d13aToc9QO6IoQhrFwp6RXLRoEa+88gqxsbF5bqcoCj4+Prz22mu8/vrrAMTFxeHl5cWiRYsYOHAg4eHh1KpViwMHDtC4cWMANm7cSNeuXbl69So+Pj75yhQfH4+LiwtxcXE4Ozs/1vUJIYQwLxfjLvLFwS/YfmW7cZ2jtSP1PepTzbUarrauOFo7otFoVExZ/HWr0g1nm8L9GZvfn99WhXpWMxIZGUlUVBTBwcHGdS4uLgQGBrJ3714GDhzI3r17cXV1NRZKAMHBwWi1WsLCwujTp0+ux05NTSU1NdX4fXx8vOkuRAghhKoquVTim3bfcO7uOVafXc3v538nPi2ePdf3sOf6HrXjlRhBZYMKvVjKr2JbLEVFGZ5g8PLyyrbey8vL+F5UVBSenp7Z3reysqJ06dLGbXIzY8YM3nvvvUJOLIQQwpxVc6vGm03f5I3Gb3Au9hwHow8SlRTF3dS7MrdcEXCwdlDt3KoWS2+++SYff/xxntuEh4fj7+9fRInyZ9KkSYwfP974fXx8PL6+viomEkIIUVR0Wh1+pf3wK+2ndhRRRFQtll577TWGDh2a5zZVqlR5pGN7e3sDEB0dTdmyZY3ro6OjCQgIMG5z8+bNbPtlZGQQExNj3D83tra22NraPlIuIYQQQlgWVYslDw8PPDw8THLsypUr4+3tTWhoqLE4io+PJywszPhEXVBQELGxsRw8eJBGjRoBsG3bNvR6PYGBgSbJJYQQQgjLYjFDB1y+fJkjR45w+fJlMjMzOXLkCEeOHMk2JpK/vz9r1qwBQKPR8Morr/D+++8TEhLC8ePHGTx4MD4+PvTu3RuAmjVr0rlzZ0aOHMn+/fvZvXs3Y8eOZeDAgfl+Ek4IIYQQxZvFdPCeMmUKixcvNn7foEEDALZv306bNm0AiIiIIC4uzrjNhAkTSEpKYtSoUcTGxtKyZUs2btyInZ2dcZulS5cyduxY2rdvj1arpW/fvnzzzTdFc1FCCCGEMHsWN86SOZJxloQQQgjLk9+f3xZzG04IIYQQQg1SLAkhhBBC5EGKJSGEEEKIPEixJIQQQgiRBymWhBBCCCHyIMWSEEIIIUQepFgSQgghhMiDFEtCCCGEEHmwmBG8zVnWuJ7x8fEqJxFCCCFEfmX93H7Y+NxSLBWChIQEAHx9fVVOIoQQQoiCSkhIwMXF5YHvy3QnhUCv13P9+nWcnJzQaDSFdtz4+Hh8fX25cuVKiZhGRa63+Ctp1yzXW7zJ9Vo+RVFISEjAx8cHrfbBPZOkZakQaLVaypcvb7LjOzs7F5u/mPkh11v8lbRrlust3uR6LVteLUpZpIO3EEIIIUQepFgSQgghhMiDFEtmzNbWlqlTp2Jra6t2lCIh11v8lbRrlust3uR6Sw7p4C2EEEIIkQdpWRJCCCGEyIMUS0IIIYQQeZBiSQghhBAiD1IsCSGEEELkQYolIYQQQog8SLGkslmzZlGpUiXs7OwIDAxk//79eW6/atUq/P39sbOzo27dumzYsKGIkhaOglzv/PnzadWqFW5ubri5uREcHPzQz8fcFPTPN8vy5cvRaDT07t3btAELWUGvNzY2ljFjxlC2bFlsbW2pUaNGsf47DfDVV1/h5+eHvb09vr6+vPrqq6SkpBRR2ke3c+dOevTogY+PDxqNht9+++2h++zYsYOGDRtia2tLtWrVWLRokclzFpaCXu+vv/5Khw4d8PDwwNnZmaCgIDZt2lQ0YQvJo/wZZ9m9ezdWVlYEBASYLJ+apFhS0YoVKxg/fjxTp07l0KFD1K9fn06dOnHz5s1ct9+zZw9PP/00w4cP5/Dhw/Tu3ZvevXtz4sSJIk7+aAp6vTt27ODpp59m+/bt7N27F19fXzp27Mi1a9eKOPmjKej1Zrl48SKvv/46rVq1KqKkhaOg15uWlkaHDh24ePEiq1evJiIigvnz51OuXLkiTv7oCnrNy5Yt480332Tq1KmEh4fzww8/sGLFCt56660iTl5wSUlJ1K9fn1mzZuVr+8jISLp160bbtm05cuQIr7zyCiNGjLCYAqKg17tz5046dOjAhg0bOHjwIG3btqVHjx4cPnzYxEkLT0GvOUtsbCyDBw+mffv2JkpmBhShmqZNmypjxowxfp+Zman4+PgoM2bMyHX7/v37K926dcu2LjAwUHn++edNmrOwFPR6/ysjI0NxcnJSFi9ebKqIhepRrjcjI0Np3ry58v333ytDhgxRevXqVQRJC0dBr3f27NlKlSpVlLS0tKKKWOgKes1jxoxR2rVrl23d+PHjlRYtWpg0Z2EDlDVr1uS5zYQJE5TatWtnWzdgwAClU6dOJkxmGvm53tzUqlVLee+99wo/UBEoyDUPGDBAmTx5sjJ16lSlfv36Js2lFmlZUklaWhoHDx4kODjYuE6r1RIcHMzevXtz3Wfv3r3Ztgfo1KnTA7c3J49yvf+VnJxMeno6pUuXNlXMQvOo1ztt2jQ8PT0ZPnx4UcQsNI9yvSEhIQQFBTFmzBi8vLyoU6cOH374IZmZmUUV+7E8yjU3b96cgwcPGm/VXbhwgf+3d/8xUdZxHMDfTxwHGD8srwNs4uKHJKVnmTjrFljTlg2yNm0aF9KUkdNNnSklioYJU+ZqTrKcP2oriJw/CIiR5G/6MSYnNyOKLrMlyHQqBzh/cN/+cD7zRC6e4+4e7ny/tmfj+fL93vP57Mazt889z1ldXY0ZM2Z4pWZv8uXzlTvY7XbYbDafOF8Nxq5du2C1WpGfn692KR6lUbuA+9WFCxfQ29uLyMhIh/HIyEj89ttv91zT3t5+z/nt7e0eq9NdXOn3bitXrsTIkSP7nICHIlf6PX78OHbs2AGz2eyFCt3LlX6tVit++OEHvPnmm6iurkZraysWLlyIGzdu+MSJ15We586diwsXLsBoNEIIgZs3byInJ8cnPoZTqr/zVWdnJ65evYqQkBCVKvOO4uJidHV1Yfbs2WqX4jF//PEHcnNzcezYMWg0/h0neGWJfEJRURHKysqwb98+BAcHq12O29lsNphMJmzfvh06nU7tcrzCbrdDr9fjs88+w8SJE/HGG29g1apV2LZtm9qleczhw4exYcMGlJSU4OTJk9i7dy+qqqpQUFCgdmnkRl999RXWrVuH8vJy6PV6tcvxiN7eXsydOxfr1q3DmDFj1C7H4/w7Cg5hOp0OAQEBOH/+vMP4+fPnERUVdc81UVFRiuYPJa70e1txcTGKiopw8OBBjB8/3pNluo3Sfv/880+cOXMGaWlp8pjdbgcAaDQatLS0IC4uzrNFD4Ir7290dDQCAwMREBAgj40dOxbt7e24fv06tFqtR2seLFd6Xr16NUwmE+bPnw8AGDduHLq7u5GdnY1Vq1bhgQf859+v/Z2vwsPD/fqqUllZGebPn49vvvnGJ66Cu8pms6GhoQGNjY1YtGgRgFvnLCEENBoNamtr8cILL6hcpfv4z1+mj9FqtZg4cSLq6urkMbvdjrq6OkyZMuWea6ZMmeIwHwC+//77fucPJa70CwAbN25EQUEBampq8Mwzz3ijVLdQ2u/jjz8Oi8UCs9ksb+np6fKTRKNGjfJm+Yq58v4+99xzaG1tlUMhAPz++++Ijo4e8kEJcK3nnp6ePoHodlgUfvZ/mvvy+cpVpaWlyMrKQmlpKV555RW1y/Go8PDwPuesnJwcJCYmwmw2Y/LkyWqX6F4q32B+XysrKxNBQUFi9+7d4tdffxXZ2dli+PDhor29XQghhMlkErm5ufL8EydOCI1GI4qLi0Vzc7PIz88XgYGBwmKxqNWCIkr7LSoqElqtVuzZs0e0tbXJm81mU6sFRZT2ezdfexpOab9nz54VYWFhYtGiRaKlpUVUVlYKvV4v1q9fr1YLiintOT8/X4SFhYnS0lJhtVpFbW2tiIuLE7Nnz1arhQGz2WyisbFRNDY2CgBi8+bNorGxUfz9999CCCFyc3OFyWSS51utVjFs2DDx7rvviubmZrF161YREBAgampq1GpBEaX9fvnll0Kj0YitW7c6nK8uX76sVguKKe35bv78NBzDksq2bNkiYmJihFarFcnJyeKnn36Sf5eSkiIyMzMd5peXl4sxY8YIrVYrnnjiCVFVVeXligdHSb+jR48WAPps+fn53i/cRUrf3zv5WlgSQnm/9fX1YvLkySIoKEjExsaKDz/8UNy8edPLVQ+Okp5v3Lgh1q5dK+Li4kRwcLAYNWqUWLhwobh06ZL3C1fo0KFD9/x7vN1fZmamSElJ6bNmwoQJQqvVitjYWLFr1y6v1+0qpf2mpKQ4ne8LXHmP7+TPYUkSws+u/RIRERG5Ee9ZIiIiInKCYYmIiIjICYYlIiIiIicYloiIiIicYFgiIiIicoJhiYiIiMgJhiUiIiIiJxiWiIiIiJxgWCIiIiJygmGJiHxOamoqlixZospxJUmCJEkwm81uec0tW7Zg9OjR0Gg0WL58eb/z5s2bJx97//79bjk2EQ0MwxIRDSm3A0F/29q1a7F3714UFBSoUt+CBQvQ1taGJ598Uh47evQo0tLSMHLkyP8NM1lZWcjLywMAnDp1CsuWLcMnn3yCf/75Bx988EG/6z7++GO0tbW5rQ8iGjiN2gUQEd3pzkDw9ddfY82aNWhpaZHHQkNDERoaqkZpAIBhw4YhKirKYay7uxsGgwFvv/02Xn/99X7X9vb2orKyElVVVQCAyspKJCcnY8aMGf973IiICERERAyueCJyCa8sEdGQEhUVJW8RERGQJMlhLDQ0tM/HcKmpqVi8eDGWLFmChx56CJGRkdi+fTu6u7uRlZWFsLAwxMfH47vvvpPX2O12FBYW4rHHHkNISAgMBgP27NnjUs0vv/wy1q9fj9dee83pvPr6egQGBmLSpEmIj49HXl4e6uvrIUkS3nrrLZeOTUSex7BERH7h888/h06nwy+//ILFixfjnXfewaxZs/Dss8/i5MmTmD59OkwmE3p6egAAhYWF+OKLL7Bt2zacPn0aS5cuRUZGBo4cOeKxGisqKpCWlgZJklBfX4/Y2Fhs2rQJbW1tKCkp8dhxiWhwGJaIyC8YDAbk5eUhISEB7733HoKDg6HT6bBgwQIkJCRgzZo1uHjxIpqamnDt2jVs2LABO3fuxEsvvYTY2FjMmzcPGRkZ+PTTTz1W44EDB5Ceng7g1seJZ86cgdFolK+YEdHQxHuWiMgvjB8/Xv45ICAAI0aMwLhx4+SxyMhIAEBHRwdaW1vR09ODadOmObzG9evX8dRTT3mkvubmZpw7dw4vvvgiAKCpqQkAHGokoqGJYYmI/EJgYKDDviRJDmOSJAG4da9SV1cXAKCqqgqPPvqow7qgoCCP1FdRUYFp06YhODgYAGA2mxEfH48HH3xQnnP69GlkZ2fj8uXLmD59OpqamlBXV+eReoho4BiWiOi+k5SUhKCgIJw9exYpKSleOeaBAweQnZ0t75vNZhgMBnn/2rVrmDNnDsrKypCUlISZM2c6XC0jIvUwLBHRfScsLAzLly/H0qVLYbfbYTQaceXKFZw4cQLh4eHIzMxU9HpdXV1obW2V9//66y+YzWY8/PDDiImJQUdHBxoaGlBRUSHPMZvN8v1LALB//348//zzSEpKAgAkJiYiMTFxkJ0SkTswLBHRfamgoACPPPIICgsLYbVaMXz4cDz99NN4//33Fb9WQ0MDpk6dKu8vW7YMAJCZmYndu3fj22+/RXJyMnQ6HYBbHwVaLBasXr1aXmOxWByuNJ06dQqzZs1ytT0iciNJCCHULoKIyBekpqZiwoQJ+OijjxStS09Ph9FoxIoVK/qds3nzZpw7dw7FxcWorq7Gq6++is7OToSEhDjMkyQJ+/btw8yZM13ogIhcwa8OICJSoKSkBKGhobBYLANeYzQaMWfOHKdzMjIycPjwYRgMBvz444+Ij493CEo5OTn8egEilfDKEhHRAP3777+4evUqACAmJgZardYjx/n555+xadMmh28U7+joQGdnJwAgOjra4Sk6IvIs3rNERDRAd3/NgKc0NTX1eRJOr9dDr9d75fhE5IhXloiIiIic4D1LRERERE4wLBERERE5wbBERERE5ATDEhEREZETDEtERERETjAsERERETnBsERERETkBMMSERERkRMMS0REREROMCwREREROcGwREREROTEf0ZqrONDz+lAAAAAAElFTkSuQmCC\n"},"metadata":{}}]},{"cell_type":"markdown","source":["# Implementing quantum gates: evolution under periodic drive\n","Next, let us consider a periodically driven qubit with a simplest Hamiltonian\n","$$\\mathcal{H}/\\hbar=-\\frac{\\omega}{2}\\hat{\\sigma}_z-g\\cos(\\omega_dt)\\hat{\\sigma}_x$$\n","\n","When we move on to the rotating frame with a unitary operator $U=\\exp(-i\\frac{\\omega_dt}{2}\\hat{\\sigma_z})$, the rotating-frame Hamiltonian is\n","$$\\mathcal{H}_{\\mathrm{rf}}=-\\frac{\\Delta}{2}\\hat{\\sigma}_z-\\frac{g}{2}\\hat{\\sigma}_x$$\n","Here, we used the rotation wave approximation and removed the high-frequency oscillating terms. ($\\propto\\exp(\\pm 2i\\omega_dt)$)"],"metadata":{"id":"qfgpOgWqMBVE"}},{"cell_type":"markdown","source":["In the example below, first simulate the qubit dynamics in the laboratory frame.\n","\n","When $\\omega_d=\\omega$ and $g=\\omega/20$, simulate the time evolution of $|0\\rangle$ state."],"metadata":{"id":"K9cwlGMjN6x4"}},{"cell_type":"code","source":["time_list = np.linspace(0, 11, 1001) # [1/f_q] time points normalized by qubit freq\n","f_q = 1 # [] normalized qubit frequency\n","omega_q = 2*np.pi*f_q\n","omega_d = 2*np.pi*f_q # on-resonance drive\n","\n","g = omega_q/20\n","\n","# definition of the initial state\n","psi0 = basis(2,0) # ground state in 2 level system\n","\n","# Definition of the time-dependent Hamiltonian\n","H0 = -omega_q / 2 * sigmaz()\n","H1 = -g * sigmax()\n","H = [H0, [H1, lambda t: np.cos(omega_d*t)]]\n","\n","# solve the Schrodinger equation\n","result = mesolve(H=H, rho0=psi0, tlist=time_list, e_ops=[sigmax(), sigmay(), sigmaz()],options={\"store_states\":True})"],"metadata":{"id":"eevv542dOKR7","executionInfo":{"status":"ok","timestamp":1727638104818,"user_tz":-120,"elapsed":915,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}}},"execution_count":68,"outputs":[]},{"cell_type":"code","source":["# plot the expectation value of X\n","exp_x = result.expect[0]\n","exp_y = result.expect[1]\n","exp_z = result.expect[2]\n","\n","plt.plot(time_list, exp_x, label=r\"$\\langle\\hat{X}\\rangle$\")\n","plt.plot(time_list, exp_y, label=r\"$\\langle\\hat{Y}\\rangle$\")\n","plt.plot(time_list, exp_z, label=r\"$\\langle\\hat{Z}\\rangle$\")\n","\n","plt.legend(loc=0)\n","plt.xlabel(r\"Time [1/$f_q$]\")\n","plt.ylabel(\"Expectation value\")\n","\n","print(f\"Pi pulse time[1/f_q]:{time_list[np.argmin(exp_z)]}\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":472},"id":"4tLOo2DbN6AG","executionInfo":{"status":"ok","timestamp":1727638105397,"user_tz":-120,"elapsed":590,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"24561923-fbde-4f4c-a7cb-74080aee37ee"},"execution_count":69,"outputs":[{"output_type":"stream","name":"stdout","text":["Pi pulse time[1/f_q]:9.998999999999999\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# plot on Bloch sphere\n","b = Bloch()\n","b.make_sphere()\n","\n","# plot the time trace of the state\n","b.add_points(result.expect, meth=\"l\", colors=\"red\")\n","\n","b.render()\n","b.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":536},"id":"AmNg0HjcPk04","executionInfo":{"status":"ok","timestamp":1727638108075,"user_tz":-120,"elapsed":1089,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"adcf45f7-a835-4581-f008-6be37bf69b4b"},"execution_count":70,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 500x500 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["Next, let's simulate the same dynamics on the rotating frame."],"metadata":{"id":"LQeLc3fJOd9u"}},{"cell_type":"code","source":["time_list = np.linspace(0, 21, 1001) # [1/f_q] time points normalized by qubit freq\n","f_q = 1 # [] normalized qubit frequency\n","omega_q = 2*np.pi*f_q\n","omega_d = 2*np.pi*f_q # on-resonance drive\n","delta=omega_q-omega_d\n","\n","g = omega_q/20\n","\n","# definition of the initial state\n","psi0 = basis(2,0) # ground state in 2 level system\n","\n","# Definition of the ROTATING FRAME Hamiltonian\n","H = -delta/2 * sigmaz() - g/2 * sigmax()\n","\n","# solve the Schrodinger equation\n","result = mesolve(H=H, rho0=psi0, tlist=time_list, e_ops=[sigmax(), sigmay(), sigmaz()],options={\"store_states\":True})"],"metadata":{"id":"jvzVJfAvOj0b","executionInfo":{"status":"ok","timestamp":1727638329518,"user_tz":-120,"elapsed":253,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}}},"execution_count":79,"outputs":[]},{"cell_type":"code","source":["# plot the expectation value of X\n","exp_x = result.expect[0]\n","exp_y = result.expect[1]\n","exp_z = result.expect[2]\n","\n","plt.plot(time_list, exp_x, label=r\"$\\langle\\hat{X}\\rangle$\")\n","plt.plot(time_list, exp_y, label=r\"$\\langle\\hat{Y}\\rangle$\")\n","plt.plot(time_list, exp_z, label=r\"$\\langle\\hat{Z}\\rangle$\")\n","\n","plt.legend(loc=0)\n","plt.xlabel(r\"Time [1/$f_q$]\")\n","plt.ylabel(\"Expectation value\")\n","\n","print(f\"Pi pulse time[1/f_q]:{time_list[np.argmin(exp_z)]}\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":472},"id":"OQO6CaccOuPw","executionInfo":{"status":"ok","timestamp":1727638330243,"user_tz":-120,"elapsed":446,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"646dbfb4-09b1-4e5c-9999-a2d8f3b088b2"},"execution_count":80,"outputs":[{"output_type":"stream","name":"stdout","text":["Pi pulse time[1/f_q]:9.996\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# plot on Bloch sphere\n","b = Bloch()\n","b.make_sphere()\n","\n","# plot the time trace of the state\n","b.add_points(result.expect, meth=\"l\", colors=\"red\")\n","\n","b.render()\n","b.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":536},"id":"emEXd0SSO2Is","executionInfo":{"status":"ok","timestamp":1727638330875,"user_tz":-120,"elapsed":636,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"b35124c5-fc72-4b16-d08a-9cb95cc137af"},"execution_count":81,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 500x500 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["Finally, let's try off-resonant ($\\omega_d\\neq\\omega$) driving of the qubit."],"metadata":{"id":"BBnoQhEIQ5Uq"}},{"cell_type":"code","source":["time_list = np.linspace(0, 21, 1001) # [1/f_q] time points normalized by qubit freq\n","f_q = 1 # [] normalized qubit frequency\n","omega_q = 2*np.pi*f_q\n","omega_d = 2*np.pi*f_q + 1*g # off-resonance\n","delta=omega_q-omega_d\n","\n","g = omega_q/20\n","\n","# definition of the initial state\n","psi0 = basis(2,0) # ground state in 2 level system\n","\n","# Definition of the ROTATING FRAME Hamiltonian\n","H = -delta/2 * sigmaz() - g/2 * sigmax()\n","\n","# solve the Schrodinger equation\n","result = mesolve(H=H, rho0=psi0, tlist=time_list, e_ops=[sigmax(), sigmay(), sigmaz()],options={\"store_states\":True})"],"metadata":{"id":"4l-omxO8RF6N","executionInfo":{"status":"ok","timestamp":1727638481270,"user_tz":-120,"elapsed":364,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}}},"execution_count":93,"outputs":[]},{"cell_type":"code","source":["# plot the expectation value of X\n","exp_x = result.expect[0]\n","exp_y = result.expect[1]\n","exp_z = result.expect[2]\n","\n","plt.plot(time_list, exp_x, label=r\"$\\langle\\hat{X}\\rangle$\")\n","plt.plot(time_list, exp_y, label=r\"$\\langle\\hat{Y}\\rangle$\")\n","plt.plot(time_list, exp_z, label=r\"$\\langle\\hat{Z}\\rangle$\")\n","\n","plt.legend(loc=0)\n","plt.xlabel(r\"Time [1/$f_q$]\")\n","plt.ylabel(\"Expectation value\")\n","\n","print(f\"Pi pulse time[1/f_q]:{time_list[np.argmin(exp_z)]}\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":472},"id":"Af-wHdQERXBS","executionInfo":{"status":"ok","timestamp":1727638482354,"user_tz":-120,"elapsed":774,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"bac08a52-750a-48cf-a422-f5f79790dac7"},"execution_count":94,"outputs":[{"output_type":"stream","name":"stdout","text":["Pi pulse time[1/f_q]:7.077000000000001\n"]},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# plot on Bloch sphere\n","b = Bloch()\n","b.make_sphere()\n","\n","# plot the time trace of the state\n","b.add_points(result.expect, meth=\"l\", colors=\"red\")\n","\n","b.render()\n","b.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":536},"id":"K7FfoB1bRZCt","executionInfo":{"status":"ok","timestamp":1727638483314,"user_tz":-120,"elapsed":969,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"aca849fc-f75d-4d61-9747-6a6c55672b79"},"execution_count":95,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 500x500 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["As we already saw in the \"Hamiltonian operator for qubits\", the rotation axis is no more the north pole and the oscillation frequency is increased."],"metadata":{"id":"62fJq4rGR3rP"}},{"cell_type":"markdown","source":["## Chevron plot (Exercise 36)\n","As we saw in the previous off-resonance drive, the qubit rabi frequency and also rabi oscillation contrast depend on the detuning $\\Delta$. When the detunign increases, the rabi oscillation gets faster and smaller (lower contrast)."],"metadata":{"id":"bCOTtCQnSNqo"}},{"cell_type":"code","source":["# Parameters\n","time_list = np.linspace(0, 10, 1001)  # [2pi/g] time points normalized by coupling\n","g = 1  # normalized coupling\n","delta_list = np.linspace(-3, 3, 61)  # detuning (normalized by coupling g)\n","\n","# Initialize an empty list to store the data\n","data = []\n","\n","# Loop over detuning values (delta)\n","for delta in delta_list:\n","    # Initial state: ground state of the 2-level system\n","    psi0 = basis(2, 0)\n","\n","    # Define the rotating-frame Hamiltonian\n","    H = -delta/2 * sigmaz() - g/2 * sigmax()\n","\n","    # Solve the Schrodinger equation and obtain the expectation value of sigma_z\n","    result = mesolve(H=H, rho0=psi0, tlist=time_list, e_ops=[sigmaz()])\n","\n","    # Append the expectation values to the data list\n","    data.append(result.expect[0])\n","\n","# Convert the data list into a 2D NumPy array\n","data = np.array(data)\n","\n","# Create the 2D color plot\n","plt.figure(figsize=(8, 6))\n","plt.pcolormesh(time_list, delta_list, data, shading='auto', cmap='viridis')\n","plt.colorbar(label=r'$\\langle \\sigma_z \\rangle$')\n","\n","# Labels and title\n","plt.xlabel(r'Time [$2\\pi/g$]')\n","plt.ylabel(r'Frequency detuning $\\Delta$ [g]')\n","plt.title(r'Chevron plot')\n","\n","# Show the plot\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":568},"id":"cfRXO_lNSRa5","executionInfo":{"status":"ok","timestamp":1727638743318,"user_tz":-120,"elapsed":5093,"user":{"displayName":"Taketo Imaizumi","userId":"04834569526942888751"}},"outputId":"4083d3ac-b41f-47d1-b67f-274a7e2065dc"},"execution_count":98,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 800x600 with 2 Axes>"],"image/png":"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\n"},"metadata":{}}]}]}