diff --git a/notebooks/MPC_racecar_tracking.ipynb b/notebooks/MPC_racecar_tracking.ipynb index 8bee8b4..5b94dce 100644 --- a/notebooks/MPC_racecar_tracking.ipynb +++ b/notebooks/MPC_racecar_tracking.ipynb @@ -177,7 +177,7 @@ "N = 4 #number of state variables\n", "M = 2 #number of control variables\n", "T = 20 #Prediction Horizon\n", - "DT = 0.25 #discretization step" + "DT = 0.2 #discretization step" ] }, { @@ -292,8 +292,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 2.77 ms, sys: 767 µs, total: 3.54 ms\n", - "Wall time: 2.99 ms\n" + "CPU times: user 3.46 ms, sys: 0 ns, total: 3.46 ms\n", + "Wall time: 2.88 ms\n" ] } ], @@ -327,7 +327,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -371,8 +371,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 2.99 ms, sys: 0 ns, total: 2.99 ms\n", - "Wall time: 1.91 ms\n" + "CPU times: user 2.9 ms, sys: 0 ns, total: 2.9 ms\n", + "Wall time: 1.93 ms\n" ] } ], @@ -410,7 +410,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -649,7 +649,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -673,18 +673,20 @@ " warm start: on, polish: on, time_limit: off\n", "\n", "iter objective pri res dua res rho time\n", - " 1 0.0000e+00 5.08e+00 5.08e+02 1.00e-01 3.57e-04s\n", - " 175 1.7545e+02 5.84e-05 5.89e-05 6.89e+00 1.81e-03s\n", + " 1 0.0000e+00 4.07e+00 4.07e+02 1.00e-01 3.74e-04s\n", + " 200 1.6634e+02 8.84e-03 6.79e-04 1.56e+00 1.99e-03s\n", + " 400 1.6749e+02 5.41e-04 3.89e-05 1.56e+00 3.67e-03s\n", + " 600 1.6755e+02 4.11e-05 2.52e-06 1.56e+00 5.25e-03s\n", "\n", "status: solved\n", "solution polish: unsuccessful\n", - "number of iterations: 175\n", - "optimal objective: 175.4495\n", - "run time: 2.16e-03s\n", - "optimal rho estimate: 6.44e+00\n", + "number of iterations: 600\n", + "optimal objective: 167.5540\n", + "run time: 5.50e-03s\n", + "optimal rho estimate: 6.60e+00\n", "\n", - "CPU times: user 117 ms, sys: 2 µs, total: 117 ms\n", - "Wall time: 114 ms\n" + "CPU times: user 117 ms, sys: 3.54 ms, total: 121 ms\n", + "Wall time: 117 ms\n" ] } ], @@ -772,12 +774,12 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -835,22 +837,14 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 14, "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/marcello/.conda/envs/jupyter/lib/python3.8/site-packages/cvxpy/problems/problem.py:1054: UserWarning: Solution may be inaccurate. Try another solver, adjusting the solver settings, or solve with verbose=True for more information.\n", - " warnings.warn(\n" - ] - }, { "name": "stdout", "output_type": "stream", "text": [ - "CVXPY Optimization Time: Avrg: 0.1672s Max: 0.2519s Min: 0.1402s\n" + "CVXPY Optimization Time: Avrg: 0.1654s Max: 0.2158s Min: 0.1471s\n" ] } ], @@ -858,8 +852,8 @@ "track = compute_path_from_wp([0,3,4,6,10,12,14,6,1,0],\n", " [0,0,2,4,3,3,-2,-6,-2,-2],0.05)\n", "\n", - "# track = compute_path_from_wp([0,5,7.5,10,12,13,13,10],\n", - "# [0,0,2.5,2.5,0,0,5,10],0.5)\n", + "# track = compute_path_from_wp([0,10,10,0],\n", + "# [0,0,1,1],0.05)\n", "\n", "sim_duration = 200 #time steps\n", "opt_time=[]\n", @@ -869,9 +863,9 @@ "\n", "MAX_SPEED = 1.5 #m/s\n", "MAX_ACC = 1.0 #m/ss\n", - "MAX_DACC = 1.0 #m/sss\n", + "MAX_D_ACC = 1.0 #m/sss\n", "MAX_STEER = np.radians(30) #rad\n", - "MAX_DSTEER = np.radians(30) #rad/s\n", + "MAX_D_STEER = np.radians(30) #rad/s\n", "\n", "REF_VEL = 1.0 #m/s\n", "\n", @@ -889,7 +883,7 @@ "\n", "for sim_time in range(sim_duration-1):\n", " \n", - " iter_start=time.time()\n", + " iter_start = time.time()\n", " \n", " # dynamics starting state\n", " x_bar = np.zeros((N,T+1))\n", @@ -897,11 +891,11 @@ " \n", " #prediction for linearization of costrains\n", " for t in range (1,T+1):\n", - " xt=x_bar[:,t-1].reshape(N,1)\n", - " ut=u_bar[:,t-1].reshape(M,1)\n", - " A,B,C=get_linear_model(xt,ut)\n", + " xt = x_bar[:,t-1].reshape(N,1)\n", + " ut = u_bar[:,t-1].reshape(M,1)\n", + " A,B,C = get_linear_model(xt,ut)\n", " xt_plus_one = np.squeeze(np.dot(A,xt)+np.dot(B,ut)+C)\n", - " x_bar[:,t]= xt_plus_one\n", + " x_bar[:,t] = xt_plus_one\n", " \n", " #CVXPY Linear MPC problem statement\n", " x = cp.Variable((N, T+1))\n", @@ -911,7 +905,7 @@ "\n", " # Cost Matrices\n", " Q = np.diag([20,20,10,0]) #state error cost\n", - " Qf = np.diag([10,10,10,10]) #state final error cost\n", + " Qf = np.diag([10,10,10,10]) #state final error cost\n", " R = np.diag([10,10]) #input cost\n", " R_ = np.diag([10,10]) #input rate of change cost\n", "\n", @@ -930,8 +924,8 @@ " # Actuation rate of change\n", " if t < (T - 1):\n", " cost += cp.quad_form(u[:,t+1] - u[:,t], R_)\n", - " constr+= [cp.abs(u[0, t + 1] - u[0, t]) <= MAX_DACC * DT] #max acc rate of change\n", - " constr += [cp.abs(u[1, t + 1] - u[1, t]) <= MAX_DSTEER * DT] #max steer rate of change\n", + " constr+= [cp.abs(u[0, t + 1] - u[0, t])/DT <= MAX_D_ACC] #max acc rate of change\n", + " constr += [cp.abs(u[1, t + 1] - u[1, t])/DT <= MAX_D_STEER] #max steer rate of change\n", "\n", " # Kinrmatics Constrains (Linearized model)\n", " A,B,C = get_linear_model(x_bar[:,t], u_bar[:,t])\n", @@ -971,12 +965,12 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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XSUlJJCUlATB79mzCw8ObK7wqPD09nXp+OTJdI/eg6+Sa4uI8WbrURmKifWxrVFQkABMmRJCUVEpiojcPP+wDUH5/xgwP7r23zGkxt2Z6Hbk+XSP3oOvk+lz1Gg0ZMoQNGzYwYMCAJjm+aZrMnz+fe+65h7CwMO666y5iY2OJjo4u36Z9+/bcf//9BAQEsHbtWl544QUeeuih8vXTp08nKCioUeMyDMPeB2N/6+iBYb4wB35fhe3ZDzE8vZwdTqvkEgmM1atXExwcTPfu3fnzzz9r3C4uLo64uLjyx5mZmc0RXrXCw8Oden45Ml0j96Dr5HoSEgJ5551MoqIimTo1tzyJAfbhJD4+9tLYg9ctkszMTGbOjOSGG3aVHyM+PlfVGc1EryPXp2vkHnSdXJ8zr1FkZGSN66666iruueceOnToQHBwcKV1kyZNavC5k5OTiYiIoEOHDgAMGzaMlStXVkpg9OnTp/x+r169yMrKavB5a6VNAOS1kvf6f/+23+blQttQ58bSSrlEAuPvv/9m1apVrF27luLiYgoKCnjyySeZPHmys0MTEWlVEhICSUwMLE9aOG4PTWTAwaqMivcdCQvHcJOahp2IiIi0JPPmzcNmsxEVFdUkPTCys7MJCwsrfxwWFsbmzZtr3P77779n8ODBlZbNmjULgLFjx1b6Ubii2la8V6yEyQ4Jh6ICQp1UGdOcVTmZAYGU5efS1ssDr1o8N66gpcXjEgmMiy66iIsuugiAP//8k88++0zJCxGRZlYx+ZCamkZUVCSpqWlMmBBRaTlQvs6R8HComPw4VHXJDCU1RESkJfjjjz94/vnn8fPza5LjW5ZVZZlhVD/vxx9//MEPP/zAgw8+WL5sxowZhIaGkpOTw8yZM4mMjKRfv35V9q1txXvFSpgyvzaQvqPGba3CAvDyxvDwqPkPbIC6VOWUTTwbY+Sp2CZcW69zlXnbh8/u3bENo01wtds0ZpWQVVoCpSUYvv71PoarVZZVF8/hqpsO1XRdZkRExG04EhGOSoqKFRVJSfa566dOrZpocCQfHImNiioeq2K1BlClwsNxLhEREXfUpUsXcnObLiEfFhZWaUhIVlYWISEhVbbbtm0bzz//PLfffjuBgQffV0ND7cMdgoODOfbYY0lOTm602IygYNi3t8b15s0XYM1PbLTzNUhZGdZ3n9V/f7829tu8fY0TzxGYj9+PefOEZjmXu3C5BEb//v258847nR2GiEirUbEKwpGISE1NY+rU3ErVERXvV0xmVLyfmppW6RiHqi6Z4eBIZlRMZCipISIi7qB///7MmjWLjz/+mO+//77Sf42hR48epKenk5GRQWlpKcuXLyc2NrbSNpmZmTz22GPcdNNNlX7RLiwsLJ8oobCwkPXr19O5c+dGiQuAwLaQn4tVWlpllaNyxFq5tPHO50x+9koIK7d5Ehj8/bv9fNVU4LRWLjGEREREnOPQnheH9rKoSXWJjeoqNIBKw04qOrTaw6HiUBP10BAREXfw999/Exoayvr166usGz16dIOP7+HhwVVXXcWsWbMwTZNRo0bRqVMnFi1aBMC4ceP44IMPyMvL46WXXirfZ/bs2eTk5PDYY48BUFZWxvDhwxk0aFCDYyoX1NZ+m5cDbcMqr6smqVFXVllZoww/scoaPlOa4euHBc1WgVFuf559thdRAkNEpLWqqedFfRMF1VVoHJrUOLSHRk1JjepicCQzKq5TUkNERFzB9OnTm/wcMTExxMTEVFo2bty48vsTJ05k4sSJVfbr0KEDc+bMabK4jKC29i/1+/ZWTWCUFDfo2NaWTZgP3YZt6gyMo45p0LEoLWnY/gCOQojmTmDs26sExgEuN4RERESa3uF6XjRGQsBxjJqGnVTkGK5S0aGxVUx0HNo01BG3g4adiIiINCNHBUZ1fTAamDSwtmyy365e1qDjHBqLVVxUv2OUHagoaa4EhqPy5DA9RlobJTBERFqZ2va8aGyHq9CoLp7DNQY9NElRXVKjuu1EREQay0033VSr7Vr87IoHEhhWzt6q60oqJA3qU43hqDrIz6v7vlViqXD+eiYEHMNQrOZKKDh6biiBUU5DSEREWpH69rw4HMuyICcb8nLtYzT352Hl55ffJ//Asv35kJ8LBfu51cuLsjl+3Orrj/miP/j58dElwZife3Jll46Yy0owfP04KTyatz8t4Zl3u/PwE5GAfcq42v4NGnYiIiJNJTs7m3ffffeI2+Xk5DRDNE7U1j7DCXuqmaqzYtJgbza0i6jbsW3239ut/EZ4366QTCFnD4R3qPsxHBUYe7IOv11j8Wtj/3ylBEY5JTBERFqJxup5YeXtg62bsf7dZC/t3LrJ/uZaHcOwv/m2CQD/APttSJi9qVfBftibhVWYAgX7iS0swPqkmAf6g/WKfZjpm8eBORNuAC4e24agbu35elUX/ntJMN+v78xrX3Znx/5IdhREVpvUcKiuMagSGSIi0hDDhw+vNLVpTYYNG9YM0TiP4e0DgcGQvbvqyopDSOqTwHAkQBpjyEaFhqJWVgZGj751P4YjgZG9G8uyMAyj4XEdjo+v/VYJjHJKYIiItAL1rbywSkoo2fQn5tqVsOVve8IiI92+0jAgsjPGMcdDlx4YQW3tSQr/APA/kLTw9cew1X60olVaCkUF9uRG4X4oLIB9OViZu/j32z0MCtlB9zbbsZakMqq4iFEVZ5ALDIbwDry/tDcbc3vyd25PNu7rVePfWtMMJ0psiIhIbUyaNMnZIbiO0HZY1SUwKg4hydqF0atf3Y5bfCCB0RgVGBWTKRlVh6nW7hgHEhglxfYfbwKDGh7X4ThmTtmb3bTncSNKYIiItCK1qbyw9u3FWrEYa9Uy2JZMtuPNOjgUuvXGGD4Wo1tv6NoTw9e/UeMzPD3BM7BKp20DGHKg0fqXJYH0nboPcnN468lcLhy3hdm3FXDnNZuxMndxcvgv/C/68/J9M4tC+Cu3Fxu/6smt7/Xk6KBedO/UDahclaIKDRERkXoKawfpKVWXV0wa7N5V9+OWV2A0cgJjV3r9jlFWYVrY7N1Nn8A48Pdbu1Kb9jxuRAkMEZEWzFF54VBTNYJVUgLrV2Au/x7+WA2mCZ17YIw5g6BjYskN6wghYU1fKlkL9rgNCGrLxfe0BTrhc1Ygtsvsf8/bCYFMvS4VUrdy39V7eOC69aR8nsq1fT4o/yWnzLKxJb8Tf/3QixkLj+KE0P5YBW0x/A4mZKqr0FBSQ0REpCojtB3WH2uqDquo2ANjdz2SBo79i4uwSooxvLzrH2SFWKyGVGAEtbUP6dizG7r0qH88tTrfgaRLekrzDFlxA0pgiIi0cI6qC8d9x5dwy7Jgyyasn7/HWrHU3nCzbSjG2PEYw0ZjRHYGwDc8nLzMahpzuZCKSQX7/SDoO5C25wRiu3wEZ06LJGXHDti9i2tPzeGF+9ay+aVdDAzeyOkdkwAovdkgOa8bCQP7cecJ/RkY3I/H50Rw6+1F5cmMmoadiIiItGqh7aC4qOqwCscXcG9vrIZUYADsTIUDFZT14oilY6f6DyEpK4P2HWHfXqxdaWCadRoqW2eOITj78yB3LwSFNN253IQSGCIiLdShfS/AXoFx383/Yn75GdbP39s/DHh5YwweinHCaOh3DIbNw4lRNy5HgmHq1Fz739UhkqMu6oPtrKO4fpJ9KI2Vu4+Lh2fzxsxf8PxuCyO9l5cPQSna6MWq//XmwX79MJdH0aPNcCzLC8MwVKEhIiJygNE+EgvsiYGKCQzHF/COnWH3zrofuGLVxLZkjIYkMErswz+MLj2wfvkRa28WRtuwuh2jrBQjOBSrYyesD17BWvkTHvck1j+mIyktgagukLrNPkRHCQwlMEREWqLqZhyZceMfXB78HPz2K9Y/FvTqhzHubIzY4ZWGTrREVSs07EkNACMwiMWZfbGd0ZVeZ0BUVEdS1v/GdeMyGRT8JwPbbuC86C+wFuznhxGPk3VFMKv3DGRS92OwNkVB154kJkaqQkNEpJUqLS1l8+bNbNu2jfz8fNq0aUOXLl3o1asXnp6t5OtWRBQA1s7USrN7WAcSEEanbljbkrHyczEO6XN1WMXF9pk4igqxXn0K08cP27HD6xejowKjZz/45UfMR+/CdvN9GB2ja3+MslLw8MToMwArfQdsS8YqKsRwzBbS2EpLMLr2xErdhrX9X4w+RzfNedxIK3lFiYi0DgkJ9g8FFSsvYrp7MXvALCZs+QT8fDFO/R/GsDEY7Ts6M1Snq5hccCQz7PfzMMLa8+XOQby42t4tvVNUB7avWEn8OTuJDfmN2JDfiOuwFHMOFJuefHzCUZjv9+CUDsOw9nXACAqpthmokhoiIi3Hvn37WLhwIYsXLyYgIICoqCh8fX0pLCzkq6++Ii8vjxEjRjB+/HiCgpq42aOzhXcAD0/YeUgjT0fSoHsf+Olb2P4vHHVM+WprZwp4+2CEtqv+uCXF4Odv781VUgy/r4R6JjCsA7EY3Xrbq0V278T67G2M626v/UFKS8HTE+M/52CtXg65OZCyFeozJeuR4jXL7ENWwjrYZ3l5bz5m6lZsV9zS6OdyJ0pgiIi0II6Ki8TEQFL+SSbxlCRu7f86ZcVleMSdjnHq+RhN3THbDR2uQgPAxAMjqjPvpgwl8dfjABjQ1b88mREb8hsFX33JC0MWYsbD1vxoEgceg7m0Gx89N5qpUz1qHHYiIiLuafr06YwaNYo5c+YQGhpaZX12djY//fQT06dPZ+7cuU6IsPkYHh7QviPWzkNmyzgwhMTo0RcLsLb/g1EhgWHea5+K1uPFT6s/cEkxeHljm/4k5tz76tdHw8GRTPFvA75+UFiA9ecarN9WYBxzXO2OUVYGHh4Y4R2wTXsM865rsVK2Vqo6aTQHhrzg6WWvQgGsZd9hjToNo0vPxj+fm1ACQ0SkBXBUXgB0iW7PZV3eI+O6F7m11x7+9hnNUfdPwGgX4cQI3U91FRoVkxp7StryytpeQC+ioiaTsnUbZw3ay5CQ9cSG/MbIdsuxXvuCJSOfZt+kMAIH9+OSzidipXeGiChVaIiIuLk5c+YcdohIaGgoZ555JqeeemqjnG/dunUsWLAA0zQZM2YM48ePr7TesiwWLFjA2rVr8fHxYdKkSXTv3r1W+zaKjp1gx7+VlzmSBm1DIaw9bNmMlZGO0b6jvZl4hdirm2HDOpDAMDpEYhwdi/XLD1j1bZzp6Kfh5Y1t5nOYrz0N61diPj0T2wuf1G6GjzJ7BQZg/3v822BtWIvVLgKj36C6x3Q4jufOyxNj7FlYrz0NgDlzKrYbp8FRg6odulJeaeLp1bjxuIgmbJkqIiLN4WCzzgD+G/EdSSefz8z+j1LYtjNvd3mWfom3KnnRQI6kQk3DTgAMLy9W7z2G6T+N4a+R04n5bhGjFn/AtD/u5LvtQ9i5dCMPDZiNed8kdl5+FfMG34n5wxd8/sIuLNMEKB/2UzEhVfG+iIi4jorJi5dffrnabV555ZVG6YNhmibz589n2rRpzJ07l2XLlpGSUnm4xtq1a9m5cydPPvkk1113HS+99FKt920MRtde9mEZefsOLqyQNDB6HIW1ehnm3ddjZe6C/fnlm1mvPmUfMnGoYnsCA4DO3e1VE28+i7V5A9a+vXUL0JEQ8PTCCA7B6N7n4Pk/e6f8i/9hHeiBAdgTHt37wpqfMefeR9l9N2J++hYF33+BtfYXrJStWOk7sP75C2tXGlZ2Jta2f2ofr+O58/TGdtI4bNMSyleZzzyEOSse89fFB/+GfXspe2Ay5g3nYj4wufbncTOqwBARcWOOX+y/m7+Nzy59GP79GyI7c8Unj/Pa2m5covnCm8zhKjQcDT2XbPImKuo8Hvl5GJZlMbx3GUND1zA0bDXHh67BeiuJpJOfJ39SEH7H9OfKLidi7ejE3MQTyo+vYSciIq5v8eLFXHXVVVWWL1myhCuuuKLBx09OTiYiIoIOHToAMGzYMFauXEl09MEGlKtWreLkk0/GMAx69+5Nfn4+e/bsYffu3UfctzEY3XrZe0ts3QwDhtgXVkga0PdoWGH/wm1t+gMjrH35vtayJIwRp0C33pUPWnIwgWH07GcfhrLkG6wl39iXnXUxZWecD1T+vGMu+hjy87CdfWmFY1UYkgEYcWdBWak9efHZ2xAShnHSuMP/kRUSGPaYjsL6Y7X9QfoOrM/eYV8Nu5bz9MS44BqMvsdgHGh+Wq3yCowDlRSdukK7iIOzuaTvwHopgbKX52KcNA5r8wZI225ftzMVq6zMPrSngayiQsjcZe9DcuAHl3oxDIzO3RscjxIYIiJuKiEhkMcT/Sn65H0+PuF5dm0I4bFN9xDdZySDLvXAMPRFt7nUqkLDMNi6vzPLNnuSkDCGWxMD6OSXxtCw1QwNXcPxuWt4oP/PmA/Cb3FBbJoygJ7/7cvRQaOwzAAMm0eNw04efrj5/lYRETno+++/B6CsrKz8vkNGRgaBgY1TRZednU1Y2MEpP8PCwti8eXOVbcLDwyttk52dXat9G0XXnmAYWGt+tlc59B1o74Hh6WmvVuhzNI5BI9bn72I5voh7eNoTCf/8hVFdAsPXz36/mi/71idvsm/Hv1hX3FI+o5q1fiXW+wvs98edjdEmwL5xhSEZAIaPD5z6P6zP3rFv+/o8TMPANnxszX9j6SEJjF79sWreusZjWG8+Z99vyDBs512JEd6hmu0qJH+wDwnxeOgFyu6dVLlZqmliLf666v6pW6Fzj7pGV4m18TfMFx6FvEb4TOnrh8dT7zb4MEpgiIi4oYSEQKZevZVjf5rHieEr+TRtLOPfv4qoZyOYql/oXUJ1zUAPrdD4JdkgKupMHv81loSEQN6Zl8/Q0NUcH7aGoSVrsN5fzhfDX2bPVQGs2jOI67vFYG3pzBNzh1eq0Hj44WJVZ4iIOMHSpUsB+1SqjvsOwcHB3HjjjY1ynor9IhwO7dlQ0za12dchKSmJpKQkAGbPnl0pIVKRp6dnteuy+wygZOkirKWLCH/hI/Z7eVLg7WPfNjyc0qffIe/1eRT9uqR8n/DnPiD7ruvxSt1C20OOmWWZ2NoEEHJg+d4TRlL084+Vtile8zOs+RmPjp1oe9ds8lYtpejAusDtm/E9yZ6QyPPyJN/mQbv2lZMFRdPnsnfGbWCWYb36FIFdu+Mz6Pgqf5tlmmSYJv5BQQQ44gwfQelTb1H4UxIFiz7B3JNV7fNVo9XLMVcvp81F1+I/bjy24JDyVSW5e8gGgkLD8K3wvJQ99CzFv69m39z7D3toc8YUwp59v8ZrdSRlGelkPTcbj7D2tLkuHsPTG2w2qGd1r+HhgU94eL3jcVACQ0TEzSQkBLLm9fXs/m06MSEF3L7+Ht5NOYt/n83TF1gXVN0MJ1C1QsOe1IjkqZWDiYo6jdTUNKw9Wdw4LtWe1Ahdw5j2P2E+BL+P9eefWwfQ7b/9ODpoDFZZ1xqHmiixISLSdKZPnw7AO++8w4QJE5rsPGFhYWRlHfxynJWVRUhISJVtMjMzq2xTWlp6xH0d4uLiiIuLK39c8XgVhYeHV7vO7NkP/vrdfp4P34DC/Vgenge39fHHPPpYqJDAyC6zsLr1puin79iVl4ftwusxQu1fcMsK9mNYB+OwrrgV20UTsRYtxFq1DNJ3lB+nLH0HWa8+A+tXYYw4BWvNz+Qs/oa8owbbY9uXA56eVeOO7gG9+8Nf6wHY+8AUbHc+WmVmEevAjCr7i4oorHgM3wCIGw9jzsK2M5Wg4gL27cvByki39/kIDIKiQti7B7w8sdb8Arsqz9aS/9aL5L/1IrZpCRjdetnPl7kbgNyCAvIOjblfDLbH38RavRxr7S/wx2qMi2/AOHoItA3DfOJ+2Pgb2SuX0z4iqsbreDhlTz8MZSbWpGnkV1chUg+5mZnV/tuJjIys9TGUwBARcSNzH/NlSufHsY79BKK7MvrNF1m8yYeoBCUv3M3hKjQcjJAwPkk7mnkrB5KQMJnXny7i+NC1HB+2hmEFq7A+eIUvhr/C5rMCeTEmhu/uHsDoG/owN3FolR4aSmSIiDSu0tLS8gadh0telJSU4OXVsBkhevToQXp6OhkZGYSGhrJ8+XImT67cqDE2Npavv/6aE088kc2bN+Pv709ISAhBQUFH3LexGCNPtfdfyMnGWrrIPjPHIX+7ccxx9uETPY/C9p+zMTw8sPoPhpVLYd2vWN6+mJv/xDj38spNPME++4ivP8aZF2GdcSH8+zfWE/djFey3b7B6uX27mBPA5oH107dYBfvtw0tKSyodqyLblbdiLU/C+uQtwD4MpcrUqGUHemh4VP8V2jAM6BiNT3g4RmYmNdUpWOMvhfQUrO8+xfpzDWQf/DJvfvwaZKRju+QG8PaxL6whZqNNIMbJ/4GT/4NVWIDhGGoD2G65H/PmC6rOClNLVup2+H0VxvhLqh/e4kRKYIiIuImXHt7HiDV3Yv29gVe2/o9ZX99KkelDQkKuvpi6seoqNGoedhLJ86v7ExU1ltTUNJ59pJj17//FiWGrOCFsFV0zFmM+AKvHhGA+1w/6DqRbmzgsy7PaCg0lNURE6u+2225j1KhRnHTSSYSGhlZZv2fPHpYsWcKPP/7I3LlzG3QuDw8PrrrqKmbNmoVpmowaNYpOnTqxaNEiAMaNG8fgwYNZs2YNkydPxtvbm0mTJh1236ZgBIdgXP9/WJs3YD56J9aqn6B9x8rb+Pphm7MA2gRiOBp09o852B/D0ejzpQOzbtT0Bd4woEdfwt/8lowHp9qrHDb+Zl/Zsx+GXwDWD19gLfoY46yL7f0rapha1AgNh9MugND2WF9/iPXLj5iGgXHyKVhLF0FoOMbgofaNGzirjGGzQVRnjMtuwiorg71ZmM89AnuyyuM3X3kK44JrDpzvyMmviskLsA/XILor1o4t9YrR+uFzex+Tk0+p1/5NybCqGxTlJtLS0px27prKpsR16Bq5B12n2vn8vl/4b/Zc9uZ6EXrLjUSfcS6pqWnN8gVU18h1OK53VFQkqan298CoqEiKiorx8fEmyjedE8JWMezAf5F+uwDYWdiO5VmxBAw5mlNu6UX0MYNJTU2rdBwlM5qWXkfuQdfJ9TnzGh1a5r5v3z4WLlzI4sWLCQgIoGPHjvj5+VFQUEB6ejr79+9nxIgRnHnmmQQFBTkl5oaq6ftWba6D+fJcrJ9/gLD2eMx+6YjnMpd8Db7+WC8+Zl/g7Q3FxRhxZ2JzfJk/TCxWaSnmDedAx054PPiM/ZjzE7F+XYwx+nSsP9dCSfERYzF//BLrzefsD9qGwV778BvjP+dgffMRxsUTsY089Yjx1JWVnoJ53yQIa28/Z5l9WtmKw0rqwnz7BazFX9P2vkRyI7vWPo79eZi3X4lx7HBsV9xS5/MeiYaQiIi0YFZpCevvfIn/5nzFiuxBTF43k7SkCEBfOFujmis07GWmK/6xgCFERZ1BSkoqL8/ex1+fbGRY2EpODv+F8J1fYd4FP42Mwny1H+MjT8baG43RNkwVGiIidRQUFMRll13GRRddxObNm9m+fTv5+fkEBATQuXNnevbsWT7EpDUyLrsJeg/ACG1Xq+1tB37tN7f/A6HtMLr1xlqxFOPE0bU7n6cntoRXK88ScsmN4O2D9f0XYJkQc8KRj3PcyQcTGHuzICAQuvbG+uYj+7IahpA0lNExGuOcyzE6dcPak4n12tP2FUFt63e8My/CWvMzBV+8D9feXuv9rJU/QXERxmGSNM6kCox6Uobe9ekauQddp5pZBfvZeuejdN6/hic2X82U704nunOnZqu8cNA1cn3h4eHcdVdR+b+JQys07NUWHekd8C/DwlYyLGwVJ4StJtjLvv3mvK78nBXLFQ/3gN5HE923ryo0GpleR+5B18n1uVIFRmvQkAqM5lKbWKy92ZCTDZ171DgDS6Xtt2yGsHCs9asw/NvAgCGYN/4PAOPKW7ENqzmp0ljPjZWfB6UlGMHVN1ytjbJnH8ZjZyo88HTt93nsbsjJxvbgvFo9V3WlCgwRkRbI2pvFrntm0rFgK7euf4CP0k4jobN9nb5ISnVqmuHk4H2DH/72A04mKmoCKTt2cEr/fIaFreSEsFWcE/Ul5nP2JmhfD++F+e5RxLUfibW/I4Z/m2qbgerfoojIQXv37iU5OZnc3NxKU5eOHl27CgJpOkbbUGhbtU9JjdsfGLJhDB97cGF0V0jZ2uAeGLWOoU1Aw48R0YmydSuwlZRg1KKRrJW3Dzb9gXHaBU2SvGgMSmCIiLgYKz2FvQ8+QDuPHC5e9QTv/NaZj6Jo9soLcV9HagwKYNg8+GNfX77ZGASMoUt0ewYGb+CEsFWcGLaKgm++4eXYTymZbOP3nL7c1ScW64/uPPvEGOLj7ceoaepWEZHWZsWKFTz11FN07NiRHTt20KlTJ3bs2EHfvn2VwGghjI6dsFK22mczcReRncAsg4w0iOpyxM2tjevBsjAGxDRDcPVjc3YAIiJykJW8kfz776Qov4TTvnuRpZlDiYqyl9XpC6I0RHUVGhWTGqWWJ5/9Gc60Jadw0Yp5+D//Jv/75XmeSr6aYtObq7u9hfnE/fw+dhTbJ0/D/ORNhoauwiopBuzJDLD/O3WoeF9EpCV79913mTRpEo8++ii+vr48+uijXHfddXTr1s3ZoUljiTxQCrsny7lx1IHR0T7bjLW9ltOpblwHfm2ga92bhjYXJTBERFyEte5XzMR7KfQI5OzlL/P1xmDAXnkxdaqmSpXG4/i3VNOwEwDDy5tfs4cQ/+MZLB82l6O//YGLVzzNS1suJiPdovSz93lv6ET2X38xS86ewU095mMlb+TJuQenclNSQ0Rai8zMTE44oXKDyBEjRrBkyRInRSSNzRh7FsbIUzFG/tfZodRedFdsoeFYa5bXanNr8wbo1c8+DauLUgJDRMQFmIu/pvSZh1m7uxejvnqF7QXRqryQZnW4Co34+FwKyvx457fOzP77ZmLffxivJ9/kqlWJvL79XNp65/B/fZ7FfOQOfh87iuRbZ2F+8xFHB23EMsvKExlApftKZohISxEUFMTevXsBaNeuHZs2bWLXrl2YpuncwKTRGD6+2C6eiNHGfd67DJsN32Gj4Y/VWMVFh93Wys+DnSkY3fs0U3T1owSGiIgTWZaF+cmbWG/MY1ubYxnyxnSyi+3dplV5Ic5SqwoN/zYkZZzMxKQJfHvc8xzzbRLXr3mED1JPp3TXLqwPXuGL4Zey56rLeDEmnu/uXoSVug042NhOFRoi0lKMGTOGv/76C4DTTjuNBx54gNtvv51x48Y5OTJp7Tx794PSUsjcdfgNt24GcPkEhpp4iog4iWWaWG8/j/XjV/wR/F/OeGc6Ze8f/N9yVFRklS+NIs5SXTPQihUaiYmRvLT6KKKixpCamsazjxTz+wd/2adtDV1Fl4zFmPfDmjEhfHb6YH7NjqFf4GAs079SM9DqZjsREXF148ePL78/YsQI+vfvT2FhIdHR0c4LSgTw7BBlv7N758E+HtWwtvwNhuHS/S9AFRgiIk5hmSbWW89h/fgVq0InMHDORMosT1JT7fOtT52aS2pqmr7AicupboYTqFqhccMd3nySdgqXfH01Jy3+BNvDL2JcMZnFu0/g6OCNPND/Mb4+6WL2XHUpC2Jv5cdpn2P98xdehr27e01DTVShISLuIDw8XMkLcQkeHexDkq3dOw+7nfXvJujYCcPPvznCqjclMEREmll58mLx16wMvYhz3ognOtqeHXf0vRBxN4er0AAwwjtgOzGOKesfpOubzzO/xztMXjeDz9PH0tk/hZN2v4A5+//4Y9xIlpw9g1t7vsC7DyZjFRVV20NDiQwREZEjM4Lago/fYYeQWJYFW/7G6Na7+QKrJyUwRESa0aHJi+NnXwAY5ZUX6nsh7q66Co3qkhrX3enPwrT/ctk3VzJmyQfYEl7l88j7eXv72QR75XBrrxc5b8dUiiZN4LNhl2G+/QLmr4vp5JeKZVnVVmgoqSEiIlKZYRjQLuLwFRiZuyAvF7q7fgJDPTBERJpJec+LxV+zMvRCzn1jCrxhAGjGEWnRajPsxAgK4awHQoiKOp3U1DSO6hJIbMhvxIb8RkzIevIXJeHv+TnLRiWw8/IwXog5mh+n9WbEFd145vGTiI+nUi8NvZZEREQOaNcBdqbWvD51KwBGdLfmiacBlMAQEWkGlmWVN+yc98/l3PTCOfCGvfIiKiqS1NQ0feGSVudwFRr7SgN5fV13oDtRUTeSsn0Hr8/ezZ+f/8uQtuuJCfmdbrt/xJwDG8Z5UDazGw/0i8Fc3hGjc3eenHt8lWSGXmMi4o7y8vKYO3cuu3fvpl27dkyZMoWAgIBK22RmZvLMM8+wd+9eDMMgLi6OU089FYD33nuP7777jqCgIAAuvPBCYmJimv3vEOcx2kVg/bEGyzQxbFUHYVip2+13Ijs1c2R1pwSGiEgTsyyrUsPO2V/exOxoVV6IOBxp2AmA4eHBZXdHEDUvhkd+HkZUVCSh3nuIafs7MW1/Z3D275wf/RnWggIsYOM4L8pmdMbo3J3MDwdjnRXGc0+cQHy8/Xh6zYmIu1i4cCFHH30048ePZ+HChSxcuJBLLrmk0jYeHh5ceumldO/enYKCAu68804GDhxY3kj0tNNO48wzz3RG+OIKwiOgpBj27YG2YVXXp22HsPYYvq7dwBOUwBARaVIVkxfP/nMZD395M2CUr684DaWIHFTTUJOK93/fUgD0JCrqZFJT0+gU1YHubbbTP/hv+gf+Tf89f9M/eQUz+3+L+QhsGGdQdm8kRqfuFCw8Bus/4bz0WR+uucMPw2ZTUkNEXNLKlSu5//77AfsUrffff3+VBEZISAghISEA+Pn5ERUVRXZ2tmZCEeBABQbA7l3VJjCs1G2HnWLVlSiBISLSRCoOGzH+cw4P33Izqanp5UNGoqIi9WVJpBZqU6EBYOLB4k0+wECiok45sNSio+8uBgT9Tf+gv+m/62/6b/mbu/ouxXwCrgLMm7yhfUd6reqJ2T0MOkTy9ve9uGhqCIZ/QJXziIg0p5ycnPLkREhICPv27Tvs9hkZGWzZsoWePXuWL/vmm29YsmQJ3bt357LLLqsyBMUhKSmJpKQkAGbPnk14eHi123l6eta4rrm5UizgmvGE9D6KLCCgMB+/Q2KzTJOM3Tvxjx1GYDPE3dDnRwkMEZEmYi18E+uHL3nu30t56JbJgFFpyEh1X8BEpHaqq9A49DXlmN0nKiqSVf+YREWNKF8X7JVD38BkurfZzvkjNjMkbAtHBW3G+voHME0mAOYtkO8RQpvuHTEiovlpYyeGnxGIERIGoe2gbRiGj0/T/7Ei0uLNmDGDvXv3Vlk+YcKEOh2nsLCQhIQErrjiCvz97cMBxo0bx3nnnQfAu+++y2uvvcakSZOq3T8uLo64uLjyx5mZmdVuFx4eXuO65uZKsYBrxrPH5gmGQe6/m8k/+thK6609WVBcREFAW4qaIe7qnp/IyMha768EhohIEzAXfYz15XsYJ43joS8nV6q8UJm6SONyvJ5qGnZSkeM1mJgYzK/ZQ/g1ewhvv3FwvadRSmf/FHq02cbLs3/n08S9XNh9E9a6XzkxdxHWAuxluAcU2ILwiwyFkHCMkHAICTtwPxTaBEGbAPAPwLKqGXMsInLAvffeW+O64OBg9uzZQ0hICHv27Clvxnmo0tJSEhISOOmkkzj++OPLl7dt27b8/pgxY3jkkUcaLW5xD4anF4SEQ2Y1U6lmpNu3ad+xmaOqHyUwREQamfnTt1jvL+Dz9DhuumsGh1ZeKHkh0vQOV6ERH59LYmJgpVmAwF6pUWp58m9+V/7N70qnq+wVG7vG5RKfmEv3TqH8s/oPzhsD77/wN+zJ5L3HC7n86G2wJ5P8Dcn4l+0FKic5ADJsHuDfBtoElt8abQIOPA4AXz/w9gYv+3+Gtw94eYGXz8Hl3t72x15e4OEJNg/wsIHNo9qu8iLSMsTGxrJ48WLGjx/P4sWLOfbYY6tsY1kWzz33HFFRUZx++umV1jmSHwArVqygUyfXn2lCmkC7CKzdVRMYVob9PRAlMEREWh9rzXLKXn0GW7/B3PLVDHak7lLlhYiT1a9CI7B8WWLiwcfRg2MBmLu8D/Hxudx7bSRXLbJ/+OsbFUnK1q3Mf6yQq8/dAftz+frDUv5z0m78LZP9mRmQn4eVnwe5OVi7UiE/Fwr2g1U55XFoAuSIDKNSQsN+36P6ZR4V19sOPj6wzPD2AW8f8PEFnwr3vX3A235r+BxYFhAMbUPBvw2GYRw5ThGps/HjxzN37ly+//57wsPDmTp1KgDZ2dk8//zz3HXXXfz9998sWbKEzp07c/vttwMHp0t944032Lp1K4Zh0K5dO6677jpn/jniJEa7CKzfV1VdsTvdnhQPdZ2+HYdjWJZV5/dIV5GWlua0c7va2CapStfIPbSk62Rt/I3iuQ+yLvsoLl7xDAVlfuXrpk7NddvkRUu6Ri2VrlH9VUwsVrxfsdludUmNmlRX1ZGamsaECRG8887Oas85dcpeKC7i2Se8ueGabBY878WVl+yBkmLee9OD88fvhZJivvzExn/jcvjhGxujRuwHs4yfFnsyfFgBmGX8+rMHx8cWsHqFB0MGF0JZKevXeTCwfyGYZfz1p40+vQuhzOTfzQbduxWx7V+DLp2KoayM9BTo2L4IiovYl1lCkO9+SvOL8LSKj/xEenmzl3DadmmL0TaU1f9EMGRMAF8ui+S0i/yhbShPvN6dW28vrvF5r+laNNb62mxb8TqJa3Lm/+/qMk6/pajp+5Yrve+4UizguvGYX7yHtfANbE+/h+HjW76+7LnZkLINj5nPNms8FdXltaUERj252j9MqUrXyD20lOtk/fs3hbPvxTuyA0cvWMCGbXktpvKipVyjlkzXqPE5XrfVJSMOXVYdR9Kypn0Od7+p19f1WCk7UqC4iGOOCuG3FVuhuJjTxgbwxUcpTLzYg2cfSYa92Xz4ciHnjE6BnGzyUvYQ4Lm/0nNSanrg2bkzRrde3DEvlkffbQdRXYju0tnl/m5xXUpgNC8lMOrOVeMxVyzBevExbPc/hRHVpXx92YO3QNswPCbf16zxVKQmniIizchK3U7+IzPIyAvj3NeeJ6c0iKgoe4Mtd09eiLRW1U3XWt9hJ+7eA8ew2cDXj6ziUIx2hQD8lhOJ0TeUz3dG8nxcfwBuvSWS/31p/7LTLyqSlH+SOXmgJ0s+/Qtrbxbz7sph8oC1WKuXM/voRZgzAU8vPhnWG/OtLpwXdRxWajh0jHLWnyoi0mIZ7SLswxN374QDCQzLsiBjJ0bvAU6NrS5UgVFPrpZZk6p0jdyDu18nK3MX++69i4A2JsMXvszPybYWU3nh4O7XqDXQNWpetR12cu65Yfzyi6ZZrcqis18qx7TdwMBg+39HB/9VXrGRX+rHL9lD+Dj1FBbtGkmh6XuE4zWNoUOL+PDDLKecW2qmCozmpQqMunPVeKzcfZhTL8G44GpscWcBYO3bgxl/OcaE67CNOf0IR2rceCpSBYaISDOw9u0l6777MfYXE/f9C2wviCbqwA+HLSV5ISJVVXxtH64x6IcfZrWIISRNsz6an5NtwIADw1R2MOqoEr5fsJyArZs46svVjBn8E/j48cE/ozn/sePo8p//sD0lo8n/bkDDSESk5QkIBD9/yKjQ58fNplAF0JxbIiL1YBUWkHb3Q4QYu7li1eP88Lc/YP/Q684NO0Wk/uoy7EQqM2webM7rjm3YaGwXTeSEHz7DdttDGMedxNgOizEfn86vo07DfHc+1rZk6jFPS50kJBy5YauIiDsxDAPCO2Bl7ipfZmXak8KEd3BSVHWnBIaISB1ZpaX8c2ci7Qo2cfXyh1mzd6Dbj3EXkcZTXYXGSSeZ5ctqSnA47jf1+uY8V31jmTI1H6PPAGyX3cRr/T/EdsOd7Avvh/XjF5gzp7Ju/LmYn7+LtXtno/zdCQmBlRqyJibaHyuRISItSrsIew8Mhz0HhnKEhDknnnpQD4x6crWxTVKVrpF7cLfrZFkW1qtPYS1L4s7fpzHnl6EtrufFodztGrVGukauT9eocVj5eVirl2H9+iNs+hMMG8ZJ4zDOuhAjKKTBxw8PD8fHxxvQMBJXpR4YzUs9MOrOleMx352PteRr+1SqhoH55nNYKxbj8cTbTonHoS6vLVVgiIjUwc93fYC1LInHN1/LWzvOUeWFiEgzMtoEYDv5P3jc/jC22S9hjD4Na9m3mHdPxPzyfazionofOyEhsDx5AfZ+GKrCEJEWpW0IFBdBYQEA1p5MCAl3clB1owSGiEgtmT9+xfFZr2OcNI7EzdcB6nkhIuIsRlh7bBOuxXb/09B3INbHr2PeOwnz18XUp8A4Pj6XoqLiSsNLUlPT9P93EWk5HJVqOXvst3syIbSd8+KpByUwRERqwVr7C2VvPk/SrpPoOu1BwACoNGZaRESanxERhceNd2OLnwltArBeSsB8+Has5I31Ol7FhIWqL0SkJTGCD0lgZGdiqAJDRKRlsZI3UPzsY9i69eTGdQ+VT+M3dWqufp0TEXERRt+B2O5JxLjiFsjOxHzkDsznH8Wq2LDuCGbM8FAzTxFpuYJDAbD27bEPucvb51YNPEEJDBGRw7LSd7B/ziy250Uw6MVnKCjzU9WFiIiLMmwe2E4cg23msxhnTMBavwLzvkmYX31Qq2El995bRmpqWqUGnhomKCItRnBb+21ONuzJst8Pda8KDE9nByAi4qqsnD3sffBBggI8uPS7p/h9SwFRUSEtesYREZGWwPD1wzjzIqzh4zDfewnro9dg+79wxWQMH9/D7puQEEhi4sGKi8RE+2MlMsRZ8vLymDt3Lrt376Zdu3ZMmTKFgICAKtvdeOON+Pr6YrPZ8PDwYPbs2XXaX1qBNoHg6Ql795RPoaohJCIiLcCTczxJv3smnoU5nPblU+woiNKMIyIibsYIDcd2/R0Y516OtXoZ5iN3YGXtPuw+8fG55Q2aHTRcUJxp4cKFHH300Tz55JMcffTRLFy4sMZtp0+fzpw5c8qTF3XdX1o2wzDsw0hysrGyD0xlqiaeIiLuzSoro+9PD9Gh+B9uXPcwX28MBjTjiIiIOzIMA9sp52K7+V7I3IU5ayrWpj8Pu8+hVRiaUlWcaeXKlYwYMQKAESNGsHLlymbdX1qYsHZYm/7Een++/XFb9+qBoSEkIiIVJDwWwKhdjzOm/U9M+/1Ovss4iaioA+tUeSEi4raMo2Ox3fUY5jOzMBPvwbjwemwjTql22/h4e7K6YiKjYl8MkeaUk5NDSIh99oiQkBD27dtX47azZs0CYOzYscTFxdV5/6SkJJKSkgCYPXs24eHVDy/w9PSscV1zc6VYwPXjyYnqQmGFJG47xwddJ8VT5/0bMRYREbeWkBBI/sKPOeaoT3n2n8t4Y/t5AOVlxEpeiIi4N6NjNLZpczBffAzrjXmYKVswLrgWw7P6j8Tx8bnlCQwlsaUpzZgxg71791ZZPmHChDodIzQ0lJycHGbOnElkZCT9+vWrUxxxcXHliQ+AzMzMarcLDw+vcV1zc6VYwPXjMQOCK61v7lire34iI2vfIF8JDBER7B9Mp5z8FdZfT2IcexKzv7yJ1NQ0oqIi9YFVRKQFMfwDsN18L9ZHr2F98zFW2nZsE+/ECKz8oV7NPKU53XvvvTWuCw4OZs+ePYSEhLBnzx6CgoKq3S40NLR8+2OPPZbk5GT69etX6/2llQjvUH7XdvvDTgykftQDQ0RavYSEQJYu+IeCZx9nRfYges6YjYWNhITASk3cRESkZTBsHtjOuxLj6qmwZTPmw7dj7dtTaRtHM8+KQ0fUzFOcITY2lsWLFwOwePFijj322CrbFBYWUlBQUH5//fr1dO7cudb7S+thBBxIzA6Iwejd37nB1IMSGCLSqiUkBDL14o28NCQe38h2XLP6Mf7dkVX+C5s+qIqItFy2oSOxxc+EnGzMp2dhFRVWWp+QEFg+AxWomac4x/jx41m/fj2TJ09m/fr1jB8/HoDs7Gweftj+C3pOTg733Xcft99+O9OmTSMmJoZBgwYddn9ppfoMhJhh2C683tmR1IthWZbl7CDqKy3Nec2UXG1sk1Sla+QenHmdEhICefXpEhaecCVtPPczfvkCthdEqzz4EHotuT5dI9ena+TarHW/YM57GJ9jh1Ny9VQMm0el9Wrm6Tqc+Vqqyzj9lqKm71uu9P80V4oFFM+RNLQHhiowRKRVSkgIZOpNmcwfMpUuIbu5atVcfk62KXkhItIKGYOGYlxwLUUrlmK993KV9RXfF1R9ISLiPEpgiEirk5AQyOOJ/nxx3jwGtf2Ta35+iHU5A9RhXkSkFbONOR3/My7A+u4zzKRPypcfOowkMTFQw0hERJxEs5CISKviSFIEfPUC/434gfs3xLNgTW8SElR5ISLS2gVcfhP7U7ZhvfcyVmh7jJgTKvVDciQyNIxERMQ5VIEhIq2GYwzzvScu5ppub/PSlgt5eeuFqrwQEREADA8PbFfHQ9demC8lYP37N6BmniIirkIJDBFpFRxJiv90+IH7+yfy1c5RXLfofPW8EBGRSgwfH2w33QNtQzGfnomVkV4+pWrFqbU1paqISPPTLCT15GrdXKUqXSP30BzXyVF5MSj4D94bej0b9vViwq/PMenWEn34rAW9llyfrpHr0zVyDxWvk7UzFXP2/0FAELZ7EjB8/YGDw0iUAHcOzUIi0rqpAkNEWjRH5UUX/xQ+PeUWdhWGE/vy/yl5ISIih2VERGG74U7ISMP6+A018xSp4M4773R2COVcKRZQPEfS0HiUwBCRFstRedG/qz+vxE5mTxZctupJEl/spOSFiIgckdHnaIxRp2H98AVTz/qV1NS0Sg08NYxERKR5KYEhIi2aj62I9TfcTJTfTsLuvYuzrw/Vh00REak14+xLISQc89WneXyOj5p5iog4kRIYItLiOMp8ExMDmDPwQUjeyJTfHiTxk+OVvBARkToxfP2wXXoj7Exhcq/5auYpAsTFxTk7hHKuFAsoniNpaDxKYIhIi5SamsYtPV9ifOQ3GGdfSp+LlLwQEZH6MQbEYJwwGuvrD7F2bKn0fqLqC2mNXOlLsSvFAornSJTAEBGpwNH3YmLs78T3fp73U06n07WTnR2WiIi4OeOCq8E/gPRHn6FzdPvy5WrmKSLSfDydHYCISGNxzDjyw8tbeebY+/k1YzA7R99M6lfpzg5NRETcnNEmENtF19Ph+UfZOv85bP85p7wfRsXGniIt2bp161iwYAGmaTJmzBjGjx/f7DHceOON+Pr6YrPZ8PDwYPbs2eTl5TF37lx2795Nu3btmDJlCgEBAU1y/nnz5rFmzRqCg4NJSEgAOOz5P/74Y77//ntsNhtXXnklgwYNatJY3nvvPb777juCgoIAuPDCC4mJiWnyWAAyMzN55pln2Lt3L4ZhEBcXx6mnntqoz48qMETE7SUkBJZXXhzXw+ClIfFsy2nPdavnUGbzdnZ4IiLSUgw5EQYNpeTDtzixV2n5YjXzlNbANE3mz5/PtGnTmDt3LsuWLSMlJcUpsUyfPp05c+Ywe/ZsABYuXMjRRx/Nk08+ydFHH83ChQub7NwjR45k2rRplZbVdP6UlBSWL19OYmIid999N/Pnz8c0zSaNBeC0005jzpw5zJkzpzx50dSxAHh4eHDppZcyd+5cZs2axTfffENKSkqjPj9KYIiI20tMtFdetPHI5+dLb8LbVky3hGlcebOH+l6IiEijMQwD28XX4+nrxZLr7mPqlJzydWrmKS1dcnIyERERdOjQAU9PT4YNG8bKlSudHRYAK1euZMSIEQCMGDGiSePq169fleqOms6/cuVKhg0bhpeXF+3btyciIoLk5OQmjaUmTR0LQEhICN27dwfAz8+PqKgosrOzG/X5UQJDRNyWo/ICoFNUB54efDelO1KYtHY2iW/10wdJERFpdEbbMIz/XQmb/mDK8C/Kl6v6Qlq67OxswsLCyh+HhYWRnZ3tlFhmzZrFHXfcQVJSEgA5OTmEhIQA9i/R+/bta9Z4ajr/oc9ZaGhoszxn33zzDbfddhvz5s0jLy/PKbFkZGSwZcsWevbs2ajPj3pgiIhbcgwZcbj7qCcY0/4nvuswhWMv66/khYiINBnjxDh2vfs1hU+9i5fxP0osLxIT7e9LU6fm6j1IWiTLsqosMwyj2eOYMWMGoaGh5OTkMHPmTCIjI5s9htqq7jlrauPGjeO8884D4N133+W1115j0qRJzRpLYWEhCQkJXHHFFfj7+9e4XX1iUgWGiLgdR7NOsJfsXtzpQ67t9hbzt1zIuJmj9MFRRESalGGzETHxYjr7p/Lv66+UL9cwEmnJwsLCyMrKKn+clZVV/qt6cwoNDQUgODiYY489luTkZIKDg9mzZw8Ae/bsKW9g2VxqOv+hz1l2dnZ5/E2lbdu22Gw2bDYbY8aM4Z9//mnWWEpLS0lISOCkk07i+OOPBxr3+VECQ0TciqPywtH5/dyj03iw/6NsaXM8eadc7eToRESk1egfQ4rfMexa8AH+HvsBNfOUlq1Hjx6kp6eTkZFBaWkpy5cvJzY2tlljKCwspKCgoPz++vXr6dy5M7GxsSxevBiAxYsXc+yxxzZrXDWdPzY2luXLl1NSUkJGRgbp6en07NmzSWNxJAoAVqxYQadOnZotFsuyeO6554iKiuL0008vX96Yz49hOaOupZGkpTlvyqrw8HAyMzOddn45Ml0j91CX6+SovIiKiiQ1NY3je8LyMy4hqziEdo89guFXc4ma1J9eS65P18j16Rq5h7peJ+ufvzBn/x/Lwq/mwtduADSlalNz5mvJlYcqNJc1a9bw6quvYpomo0aN4pxzzmnW8+/atYvHHnsMgLKyMoYPH84555xDbm4uc+fOJTMzk/DwcKZOndpk06g+/vjjbNiwgdzcXIKDgzn//PM59thjazz/Rx99xA8//IDNZuOKK65g8ODBTRrLn3/+ydatWzEMg3bt2nHdddeVV8o0ZSwAf/31F/fddx+dO3cuH1504YUX0qtXr0Z7fpTAqCd9EHF9ukbuobbX6dCeF34eBXx0wtX0bJuK3wOPYURENWWYrZpeS65P18j16Rq5h/pcp7JnZsHfvzPw00/ZW9JWPTCamBIYIq2bhpCIiMs7tOcFWGy6Zxr9gjbjd/NtSl6IiIjTvJZzPeb+Aib1eBWgfJijhpGIiDQ+JTBExKUd2vMiKiqSSd1fxVq5FNu5l2EMGOLkCEVEpDW7clo4HsNGMbH3O0T47gLUzFNEpKkogSEiLqtq5QWkfP0pd/R9BuO4kzH+07zjLkVERKozf9e1FBXBlJ4vAmrmKSLSVJTAEBGXVF3lRfc2Wyl4OgGjczeMy252ytzjIiIih7r2rjb4jjuFCzp/So82WwFVYYiINAUlMETE5VRbebF5Mx+NnYKPvwe2SdMwfHycGaKIiEglxmnnY/PxYWqv5wFUfSEi0gSUwBARl1Jd5YWBSfK0JwktS8M28U6MsPZOjlJERKSyxBeieWbDBZza8Tu6+O9QM08RkSagBIaIuIzqKi9SU9N499Kn6J7/M8YF12L0GeDMEEVERKoVH5/LzR+PwsPLg+u7vw5oGImISGNTAkNEXEJ1lRcAHz6wgaFZr2OcOAZj5H+dGKGIiMjhJb7UmTf+PYPzoj6nnXemmnmKiDQyJTBExKVUrLyYfnMy4/fMguiuGBdNVNNOERFxafHxuVz2+ji8PUq5qts7gKowREQak6ezAwDIzMzkmWeeYe/evRiGQVxcHKeeeqqzwxKRZjBjhgczZ0aWP3ZUXsx9zJfJ5m1gltn7XniraaeIiLg+o30kHkNO4NKS95n3zxWVhkeKNIV58+axZs0agoODSUhIqLJ+6dKlfPLJJwD4+vpyzTXX0LVr12aOUqRxuEQFhoeHB5deeilz585l1qxZfPPNN6SkpDg7LBFpBosXG+VVF2D/pWrq1FxuiXoStmzCdsVkjA6RhzmCiIiI60hICOTUJyYS5JXPxZ0/VDNPaXIjR45k2rRpNa5v3749999/P4899hjnnnsuL7zwQjNGJ9K4XCKBERISQvfu3QHw8/MjKiqK7OxsJ0clIk0tISGQpUtt5VUXYK/A6L3ve6zvP8eIOwsjZpgTIxQREamb+Phcvt4YDEcdw9Vd38bbVqxhJNKk+vXrR0BAQI3r+/TpU76+V69eZGVlNVdoIo3OJYaQVJSRkcGWLVvo2bOns0MRkSbkKKlNTAwkNTWNqKhIpk7NZerFGzFnPgY9+mKce7mzwxQREamzhIRAVrx6HW8dfyPnRH5JVNR4AKZOzVUiQ5zq+++/Z/DgwTWuT0pKIikpCYDZs2dTXFxc7Xaenp6UlpY2SYx15UqxgGvF40qxQM3xeHt71/oYhmVZVmMG1RCFhYVMnz6dc845h+OPP77K+tq+oJqDq/1jkKp0jVxXXJwnS5dWLQCLOymfV/tdgZmzh7CEV/AIb++E6ORQei25Pl0j16dr5B4a8zpZlsWfl1xN7u79jF78PgVFZY1y3NbOma+lunzJam4ZGRk88sgj1fbAcPjjjz+YP38+Dz74IIGBtRvSlJaWVu3y8PBwMjMz6xVrY3OlWMC14nGlWKDmeCIjaz9c3GUqMEpLS0lISOCkk06qNnkBEBcXR1xcXPljZ14MV/vHIFXpGrmud96xDxVxVF6kpqaR8FgAU0JmUPbrVmy33s8ebKDr5xL0WnJ9ukauT9fIPTT2depw6Zm0e/5R/hPxI3fddZyqLxqBM19LdfmS5Wq2bdvG888/z1133VXr5IWIK3KJHhiWZfHcc88RFRXF6aef7uxwRKSJJCTYG5k5el44bhMSAply3IdYv/yAccaFGP1qLm0UERFxBwkJgXQ+61y25kdzbbc31cxTnCYzM5PHHnuMm266ya2TMCLgIhUYf//9N0uWLKFz587cfvvtAFx44YXExMQ4OTIRaUzx8faxv47ERWpqGhMmRDD1og2YM16EfoMwTjvfyVGKiIg0nOM9z/zuv3R950UGBm/gqw1tnR2WtECPP/44GzZsIDc3l4kTJ3L++eeXD7MZN24cH3zwAXl5ebz00kuAfQbI2bNnOzNkkXpziQRG3759ee+995wdhog0g0N/efr2q/1kxD8GPr7YrpqCYXOJwjAREZEGS0gI5IUnL2bF6De5sss7REU9CKiZpzSuW2+99bDrJ06cyMSJE5snmGZglZbCvj3QJhC8GtaXxDLLYN0KrH82QlAIxpgzMDzr9xXZsiwoK6U0PQUrPx9sHlBaCr5+4O0DNgPD5tGgeMvPlbwB65+/YF8OhLXD6NoLorrAvr2w/V+sjHSM4WMhPLxRzudKXCKBISItX0JCIImJlZMXUVGRfHbFXI7J2ILtpnswgkOcFJ2IiEjjs1dhwKr/+w9n2D7job8ms26L85rQi7gC68+1WHuzMY47CcPLG6uoCGv1Mgw/f4zBQ2veb2cq5rMPQ9r2gwvDO7AvZijWmZdg+PjULQ7LwvroNaxvPj647KsPsE15AKNL7WbEtMwy2PQnZtKnsHUz5OyhxklqbTbw8oHw9hide2AcdxL0G1ynH++stO2YT9wP2ZX7wFQ3K4f1xbsU35cI7aNrfXx3oASGiDQLxy9NjiRGamoa1oZ1mHPfxBj5X4xjjnNidCIiIk1nyNRxmPd+zEWdPyYhYYKqL6RVsv75C/O5R2Cv/Su+9cMXGEcPwUr6FAoLsABjwnXYxlTfE9F89yXI2o1x3AgIDLLvsy2ZgkWfwMpl2CbegdG9T+3j+fBVrG8+xjh+BMYF18Km3zHfeRFz7nRs1/8fxlHHHH7/sjLMp2fCH6vBwwO69MQYMAS/9hEUFBVDWSlYJpQUQ8F+rOIiKCyA7N1YP3+P9fP30G8QtrMurlXc1m8rMF9MAA8bxvhLMGJOsFehZO3G2vwn7MkCA4jqihHVGfPZh8l79Rms2x7CMIxaPy+uTgkMEWly1VVf9O/qz/L/PklwVBes865yUmQiIiJNy/4eeCyvxg7j0s4fcMLcK0hMDNQwEmlVrNISzGdngwHG/64CD0+sd1/C2pYMnl7YbroH84cvsD5+Hat7H4xuvSrvn7oN/liNcdbF2E6/oNK6wJR/2fvkTMxnH8Z2+c0YA4YcOZ6cPVjffWZPXlw91f4Ff8iJ2Dp1w3xqJub8udgefAbDv03Nx1i51B7Tf87GGDu+vJI4MDycoiPMlGPtzcL6/gus7z/HnHsfxsU3YBs6subti4ow33wOwttju+EujA4VmrEGta3yfAEYp51PyevzsP25BmrxnLgLDTYXkSYXH59LaurBecSnTtnH+v+7hwBrL8FT769zyZ+IiIi7cLwHjpk5lva+WZza8TtSU9OUvJDWZd2vkJON7bKbsI0bj23M6djmvY/xvyux3TYL45jjsF16EwQEYj75AFbuvkq7mwvfAD9/jJH/rXJon0HHYbv5XvDxw3xmFtb2f44YjvXey2BZGGdeWKk6wWgfie2qKZCTjbX468Mf46dvoV0ExjmX13kYtNE2DNs5l2Gb8SxERGPNT8Ra9VPN53pzHuzNwnbR9ZWTF4c7x7Ax2NpFYH79UZ1ic3VKYIhIkzp06lSA1Pe/h7W/YJx9KV51KPUTERFxRwkJgXQ65TT+ze98oJlnpKZUlVbFWrUM2oZC/8HlywxPL2zjzsbo0df+OKwdtpvugYJ8rE/eOLjvvr2w7leMUadjBARVe3yjUzdsdzwC/gGYb79ob6hZUyw7U7FWLMb4zzkY7asmA4xuvaDvQKwfvsAqqb5njZWyBf7+HePEuAY1oDdCwrDdMRu69cZ88bFqkxjWzhSsn3/AOOUcjN4Dan9sTy98Tx4HyRuwCvfXO0ZXowSGiDQpxy9MjgqMB2/awJzYOdB3IMbYs5wZmoiISLOIj88lJXUn27qdRUzIHwwK/kNVGNKqWP/8hdF7wBFn4TCiu2KcOBZrWRJW1m77vn+uta+LqbnBJ4ARGIRxxgRI3oD5zCzM+YlYG3+rGsuKxWAYVFfN4WA79X+wJxPr20+q/3sWfQI+fhgjTz1sTLVheHphm/IgdO2F+foz9oRNxXP99C14eGDEnVnnY3sPjIUye6PRlkIJDBFpUhV/XfI0Srmi7EH7WEdNmSoiIq3MmHtOJLekDVd0fdfZoYg0OsuyMJd8jfnNx1hFRQeXZ++2N+7s3rdWxzH+ey54eGE++zBWWRlsWAeBwdCp+5H3PfkUjHFnw+Y/sVYuxZw73T7daMU4f1sJvfphhITVfJyjjoFjjsP65iOsgsrVC1ZJMdbanzFiT8RoE1Crv+mIcfv5Y7viFigowFr0caV11p9rofcAjKC6z9bn3fdo8PTC+vv3RonTFejbg4g0CcfQEUfzzqioSG7p+SJsS8Z22U2HfdMQERFpaRISAonu2ZP3U87g9I7fMri7t4aRSItiLVqI9fo8rA8WYM6aivXbCvuKrZsBMLr3rtVxjPAOGJffBNuSsZZ/Zx+u0bVXrX74Mmw2bP+7Eo8n3sY2900IDcd89Sn7dKdgnwkkdStGz35HPJbtjAmwPx9rySG9MDb8BoUFGLHDa/X31JbRMRrj+JOxkj7DSt5ojzc/D1K3YfTuX79jevtA5+5Y/25qzFCdSgkMEWkShzbuTFm+lFv6LMA4YTTGkGFOjExERKT5Od4Xr3lzJN62UlY/+bqGkUiLYZllWN8uhP6Dsd1wF5SVYT7zENbvq7F2pds3ioiu9fGM2OHQoy/Wx69DylaMjp3qHJPh549x7hWQvgNr5YHeEtv/hbKyamftqLJ/l57Quz/Wj19hmWb5cuvfv+zTpvapfT+KWsc84Tp70mXB4/Zkyz8b7c1Ge9UvgQHYp2jdnoxVWtqIkTqPEhgi0ugObdzpZZTwx//NI99oi3HBNU6OTkREpPk53hujY2L5KfM4drzzHZ2iOqgCQ1qGzRsgZw/GiWMxYk7Adt/j0DEa8/VnIGUrBAZj+PnX+nCGYWA77wrIzbEviOxcr7CMIcMgqgvW5+/Ykyzbku0rutauGsQ2+nTI3IX1y4/ly6wdWyAiGsPLu14xHTbeNgHYLpkEGelYS77GSt9hX9GpW/0P2q03FBdD2rbGCdLJlMAQkUZ3aPXF65e+QL+gzQROnNhoYwVFRETcieO9MTU1jTe2n0O03062f/W5KjCkRbD+Wg82G8bAWAAMH19sF99gb4S5cim071jnYxo9+4G3j/1+ZN0rMODAkJIzLoSdqVirl8OuNPBrA7Wd9nTwCdC1F9bHr2MVFdqX7fgXoxb9OOrL6DcIeg+wNwpN3wEBgRj+9f/8bER1AcBKT2mkCJ1LCQwRaRKOX5R6ByQzbM/rGMeehDHo8N2jRUREWoNFu0aSURTG5gXfOTsUkUZhbf/XXpXg41u+zOjdHwbEgGVitKt7AgPAds9cjJPGNawCYfBQaB9p79Gxeye0i8AwjFrtaths2M6/GvZmYSV9ipW7D/ZmQ6eu9Y+nFmz/Pc+e/Fn2HdTzuSvXviMYBuxMbZzgnEwJDBFpVBWbd3oYpTw28EGy9gfw3J6pzg5NRETEqRzvkaWWJ+/uOJOuub8Q28OmYSTi/rb/i9G5alWC7ayL7Xcioup1WKNjtL35u6dXvUMzbDaMcePtzUT//h3adajb/r36wYAYrB++gF32JEB9EzK11n8wdO5x4FwRDTqU4eUNYe3LY3d3SmCISKOqOHzkmq5vMajtBsJvvpZJdxx+3m8REZGWruIwkrd3nI2BxYrENzSMRNyavSohq9oqCaNrL2y3P4Qx6lQnRFYhjhNGQUAQlBRjhNc9IWAbcwbk7MH89hP7gtB2jRxhZYZhYIw90/7Ashp+wIgorJ0aQiIiUknF5p3d22wlvvdzfL1zJHMX/9fZoYmIiLgEx3tlSkEkP+4+gfQPvqNzdHtVYUi9zZs3j2uuuYb4+Phq11uWxcsvv8zNN9/Mbbfdxr///tu4AWTYf7gyaphlxOg9oEE9HBqD4e2DMeo0+4P6VDT0GwwdomDNcvvj0PDGC64GRuxJGGPOwDj9goYfq0OUvTFoYyRDnEwJDBFpNI5flgxM5hw9A7y8OfX1K4i/Lc/ZoYmIiLgEx3vl1Km5vLn9HCJ8d7Pts09VhSH1NnLkSKZNm1bj+rVr17Jz506efPJJrrvuOl566aVGPb+VlWG/E9a+UY/b2IzRp8HgofYmmXXd12bDOGnswQUBQY0XWE3n9PTENuFajHrOwFJJWHsoKoT97v+ZXAkMEWk0jl+PLu/yHseG/obf5VdjtA11clQiIiKuJz4+l+93Dye9oD3/vvqts8MRN9avXz8CAmqucFi1ahUnn3wyhmHQu3dv8vPz2bNnT+MFkL3bfhvWtMMqGsoICMJj0rR695Qwjjrm4P1aNgF1FYZjyEvWbucG0gg8nR2AiLQMCQmBJCYG8u68PL47+Wl+yBjG5f+7hKlT8/SrkoiISAWO90yAd1LO4hbflzihp8l5NwTrPVMaXXZ2NuHhB4c8hIWFkZ2dTUhI1alEk5KSSEpKAmD27NmV9qvI09OzfN2+/FwKAwJpF90IlQL1UDGWpmSFhnKg1uSw52uueGrDEUtJ955kA4GlRfg6MbbGeG6UwBCRRhEfn0tiYiA/T5nB/tUw5uWrSA1Ld3ZYIiIiLic+Prc8UTGkx3gm95zPskdfx3bO5U6OTFqi6voe1FRBEBcXR1xcXPnjzMzMarcLDw8vX1eWuh3ahte4bVOrGEtTM66eihEQeNjzNWc8R+KIxfKwz+Kyb8s/5HU/yunxHCoyMrLWx9AQEhFpkIqNO8e2Xwy/reDx5GtJfKWHs0MTERFxWY73z52FHfguYzgZC3+ga3Q7NfOURhcWFlbpS2NWVla11Rf1lr3b5YePNBbb0JEYA4Y4O4y6C2wLnl4Hh/u4MSUwRKRBHM3I/DwKeKD/HIjsTMBZZ6oEVkRE5DAqNvN8Y/u5tPPJ5t+PP9b7pzS62NhYlixZgmVZbNq0CX9//8ZNYOzbixGsnmeuzDAM+8wpe1yjMqQhNIRERBosISGQW3q+RLTfTmwXP8yU3gXODklERMQtxMfn0ilxKDv2d8R641u6HTvc2SGJm3n88cfZsGEDubm5TJw4kfPPP5/S0lIAxo0bx+DBg1mzZg2TJ0/G29ubSZMmNdq5LdOEvFwIbPpZOaSBgkOwcrKdHUWDKYEhIvXmaELWO+Afvhr+Bu+lnMFto8YydWqufkESERE5gorNPN/acTZ3+M9jeO8Szr4+VO+jUmu33nrrYdcbhsE111zTNCfPzwPLhMDgpjm+NBojOBRr+7/ODqPBNIREROotPj6XlJRUZvZ/hPzSNkx473xSU9P0oUtERKQWHMNIUlPTeG/HmZSYHiSe/a7eR8V95OXYbwNUgeHygkMgpxGnz3USJTBEpF4czcduOX4tQ8PW8PDfNxPd9yg1HxMREakDx/vp7uJwFu0aSfed39C9U5jeT8U95NoTGIYqMFxfcCgUFWAVuvdQbyUwRKRe4uNzSdn0N3f3fYJVewbS8bzRqr4QERGpo4rNPN/cfg4h3jkkv/+h3k/FPeTus98qgeH6gtvab928CkMJDBGpl4SEQKyPXifEO4e7/7iT+NvynR2SiIiIW3L0wliWdSxb8jvx65zviYqKVBWGuDzrQAWGmni6vvKZYpTAEJHWJiEhkO/mb6Ns8Tcs2HoBG3N764OWiIhIPTmqMKZMzeet7WdzXOg6Ulb8oioMcX3qgeE+gu1T51pKYIhIq2OZPNh/Dra2ISRuvr68AZk+aImIiNRffHwu76eeQVGZF6uf+N7Z4YgcWV4u+PpheHo5OxI5kqADw3wcSSc3pQSGiNSao9HYtveWMrjtn0xZMpm80gBVXoiIiDSQ4z02uziEr3aNpnvGInp0CtV7rLi2gv3g18bZUUht+B/4f4mjb4mbUgJDRGotPj6XlH+SubPP06zd258nfhnE1Km5qrwQERFpoIpTqr65/RyCvfLY/M77eo8Vl2YVFoCvn7PDkFowPD3Bvw3kKYEhIq2A45ehp079mg6+mUz/83aiO0U7OywREZEWw/Fe+2t2DMl5XViZ+IN6TIlrUwLDvQQEKYEhIq1DfHwuKWtXc03XN/kg5TRGX91FfS9EREQa0cEpVfN4e8fZxIauVzNPcW1FSmC4lcBgLCUwRKS12PTw65Ranjzy9036MCUiItJE4uNz+TD1NIpNT1Y/8YOzwxGpmSow3IsqMESkNUhICOSCgTvomfcTTyVfza6idippFRERaQIVm3l+s3MU3XZ9S/dOYXrPFddUWIChBIbbMAIC7TPHuDFPZwcgIq5v6q17Mfc9wrbNUczfeiGpqWnODklERKRFio8/2Bz7/IFnc0bktyS//yG2oSOdG5hIdVSB4V4OVGBYloVhGM6Opl5UgSEih5WQEMjdJy2HtO3M+GsKRaaPqi9ERESakKMKY3lWLNvyo1j+6I967xWXY1mWEhjuJiAISoqhqNDZkdSbKjBE5LCmXp+Kuf1Zlm4/jkW7RmjaVBERkSbmqMJISAjknU/Gc0efZ0hZvRIjIsrZoYkLWrduHQsWLMA0TcaMGcP48eMrrd+/fz9PPvkkWVlZlJWVccYZZzBq1KiGn7i0BMpKwUcJDLfhH2C/3Z/vtoknVWCIyGGtfeB9KNzPAxumAoaSFyIiIs0kPj6X93acQYnpwYq5Pzo7HHFBpmkyf/58pk2bxty5c1m2bBkpKSmVtvn666+Jjo5mzpw53H///bz22muUlpY2/OSFBfZbX/+GH0uah18b+21BvnPjaAAlMESkRq/M2s2APZ+x4N/z2JTXE0AlrCIiIs3AMYxkd3E4SRkn0zV9EV2j2+k9WCpJTk4mIiKCDh064OnpybBhw1i5cmWlbQzDoLCwEMuyKCwsJCAgAJutEb4Glicw3POX/NbI8Hf/BIaGkIhItSzL4lKfx9lTEsjVC89iem/UvFNERKSZVGzmedExZ/PfiB/YsvBjjNjhTo5MGsPTTz9dq+08PT2ZOHFijeuzs7MJCwsrfxwWFsbmzZsrbXPKKafw6KOPcv3111NQUMCUKVNqTGAkJSWRlJQEwOzZswkPD68xrra+PmQDQe3b41vDds3B09OzxjidwZXiOTSWko6R9mvm5YmPE2JsjOdGCQwRqSIhIZANb67khSG/89imO3i9d5/y5RpCIiIi0jwSEgJJTAzERgdSCiLYMutHLl5xvvpRtQDLly/n7LPPPuJ2n3/++WETGJZlVVl26OwSv/32G126dOG+++5j165dzJgxg759++LvX3XoR1xcHHFxceWPMzMzqz1veHg4e3emA5BbXEpeDds1h/Dw8BrjdAZXiufQWKziEgBydqZjc0KMNT03kZGRtT6GEhgiUsXUyVmYux9j45aevLXjbFJT05S8EBERaWYVm3m+++lZxPd+npR1azDaRTg7NGmgsLAw/ve//x1xu2XLlh3xOFlZWeWPs7KyCAkJqbTNDz/8wPjx4zEMg4iICNq3b09aWho9e/asX/AORQeGkPj4Nuw40nzUA0NEWiJr0ULIyuCBjfGUWfY8p5IXIiIizhEfn8u7KWdSZtn4JeFHZ4cjjeCpp56q1XaPP/74Ydf36NGD9PR0MjIyKC0tZfny5cTGxlbaJjw8nN9//x2AvXv3kpaWRvv27esVdyUl9l/z8fZp+LGkeTh6YOxXAkNEWojnZheS98GHfLlzFMuzjgXUuFNERMRZHM08dxZ24IeME+ma+g1dotvrfbkF27VrF7t3767Vth4eHlx11VXMmjWLKVOmcMIJJ9CpUycWLVrEokWLADj33HPZtGkT8fHxzJgxg4svvpigoKAGx2kVF9nveHk3+FjSPAwvb/D0hIL9zg6l3jSEREQqua7dPKxtpczaeCugxp0iIiLOVLGZ5+WDzyauw1K2fvYpxuChTo5MGsvjjz/Of//7X/r06cMPP/zASy+9hM1m48orr2T06NFH3D8mJoaYmJhKy8aNG1d+PzQ0lHvuuafR46b0QAWGl1fjH1uajl8bVWCISMvw1sztWL/8yJN/XcqOgihA1RciIiLO5qjC+GH3MHYWtiPp/h/1/tyC/PHHH/To0QOwN+289957eeihh1i4cKFzAzuSkmL7rSow3ItfG7fugaEKDBEBwDJNLjCegLahzPvnCgB1ORcREXEBlZp5fnYmN/d8mZT1v2GEtXN2aNIISktL8fT0JDs7m7y8PPr27QtATk6OkyM7ghJVYLglP38sNx5CogoMEQHA+vl72LoZ49zL2V9mn1ZLyQsRERHXYW/meRYAy+csdnI00li6du3Kxx9/zAcffFA+FCQ7Oxs/Pz8nR3YEqsBwT/7uXYGhBIaIYOXnkf/6q6zMPobO515YvlzlqSIiIq7BMYwkpSCSJZlD6ZzyDZ2iOuh9ugWYOHEi27dvp7i4mAkTJgCwadMmhg8f7uTIjsBRgeGpCgy34uY9MDSERESwFr6Ob1kud/95JympO4mKilTzThERERdSsZnn1TFn88KQ/2P7V59jDDzWyZFJfX333XcMHjyYiIgIbrnllkrrhg4dytChLt6otaQYvLwxDMPZkUgdGP5tsFSBISLu6vVZaZT98DULtlzAX7m9iIqKBNAvOiIiIi7GUYWRlHEyGUVhfH3PYlVLurF//vmHe+65h9tvv523336bv/76C8uynB1W7ZWWqP+FO/Lz1zSqIuKeLNPkIiMR2rYlcfP1gH3a1ISEQPW/EBERcTEVm3l+8MXpXNftDVL+/B2jbZizQ5N6uO666wDYvn07a9as4e233yYtLY0BAwYwePBgBg0aRFBQkJOjPIziIvW/cEf+baCoEKu0FMPT/dIBqsAQacW+mf4TbNnE5MVTyS0NACivwBARERHXFB+fy9s7xuNpK2PpIz85OxxpoM6dOzN+/HgeeOABnnjiCY499ljWr1/P7bffzt133826deucHWL1SkrU/8Id+bWx3xa6ZxWG+6VcRKRRWHn7GJv3PPTuz8IvTwE0baqIiIirS0gIJDHRPmRkWeaxdNr/FdFR1zNlar7ew1sAf39/hg0bxrBhwwBITk52ckSHcaAHhrgZRwJjfz4EuHCFTw2UwBBppayPX4f9+bxeEg/Ymy/pg4+IiIhrq9jMc2LseJ4ZfDc7Fn2F0X+wkyOThti4cSNbtmyhsLCw0vJzzjnHSREdmaUeGG7J8PfHArftg6EhJCKtkLVlE+aSRbyQfCF3PzOwfLkagYmIiLg+RzPPb3aNIrs4mM/vUDNPd/byyy+TmJjIxo0bSU1NLf8vLc3FZ4RTBYZ7clRguOlMJKrAEGllLLMM883nMNqGMPGLM5jZw75c06aKiIi4h0rNPL88nSu7vkPKxj8xgkKcHZrUw9KlS0lISCA0NNTZodSNEhjuqeIQEjekCgyRVsZa/DVsS+bGH+KJ7tGzfLl+uREREXEv9maeZ+NlK2Px7GXODkfqKTw8HC93HIpRUqIEhjvy8wfA0hASEXF11u6dWB++Cv0G8+zKAeXLp07NJTU1TT0wRERE3IRjGMk/+V35NXsw0Vu/Iiqqo36McEMTJ07k+eef5+eff2bDhg2V/nNpJcXqgeGO/O0zD1KQ59w46klDSERaCcs0MV99Cmw2Xiq6k+sNo3ydEhciIiLupWIzz5uPHc/jg6aT8t03GH0HHmFPcTX//vsva9euZePGjXh7V65oePbZZ4+4/7p161iwYAGmaTJmzBjGjx9fZZs///yTV155hbKyMgIDA3nggQcaHnhJMYYqMNyPn5/91k2HkCiBIdJKWIu/gr9/59uI23jwqR48+NTBdVFRkZpCVURExM04plT1sYXyQMlj/Bi/hJvXnaL3dDfz9ttvc8cddzBwYN2TT6ZpMn/+fO655x7CwsK46667iI2NJTo6unyb/Px8XnrpJe6++27Cw8PJyclpnMBLNAuJOzJsHvZhJEpgiIirsnbvxPrgFeg/mP/cchK8bG/aGRUVqeadIiIibqpiM8+Pvj6Vizp9RMpff2EEBjk7NKkDHx8f+vXrV699k5OTiYiIoEOHDgAMGzaMlStXVkpg/PTTTxx//PGEh4cDEBwc3PCgQU083ZlfGyUwRMQ1WaaJ+cqTFJV6cvJTM0ifEwHYqy7A/uuNfqURERFxX/HxuYx+8Wyu7PouP8xezuhZpzg7JKmDCy64gFdeeYXzzjuPoKDKySeb7fAtC7OzswkLCyt/HBYWxubNmyttk56eTmlpKffffz8FBQWceuqpjBgxotrjJSUlkZSUBMDs2bPLkx6H8vT0xCgtxS8wiMAatmkunp6eNcbpDK4UT02xZAUF41FWQttmjrMxnhslMERaOOvHL2HTH/hedhOrnjeJirIvT01NU/JCRETEzTmGkQCs3nM0kXlfEhV1JVOn5uk93k04+lx8++23Vda9++67h93Xsqwqy4wKfc4AysrK2LJlC/feey/FxcXcc8899OrVi8jIyCr7xsXFERcXV/44MzOz2vOGh4djlRRRUGZSVMM2zSU8PLzGOJ3BleKpKZYyb19K9+5p9jhriqe6f4s1UQJDpAWzMtLts44MiMEYPrZKZ3J9sBEREXFvFZt5Tjl+PI8NnEHKj99h9KrfkARpfk8//XS99w0LCyMrK6v8cVZWFiEhIVW2CQwMxNfXF19fX4466ii2bdtWpy+Nh7LKSqGsTD0w3JV/G8jc5ewo6kXTqIq0UPZZR54EDw9eKriT6Oio8l9owD6ERFOtiYiIuD/HlKqfpY8jt6QN701eqvd5N9KuXbsa/zuSHj16kJ6eTkZGBqWlpSxfvpzY2NhK28TGxvLXX39RVlZGUVERycnJRDlKcuurpMR+qx4YbslQDwwRcTXWD1/Cpj8xLr+Z64f7cv2daeV9L9S4U0REpOWo2Mxz4Ten8L/ozzn/g4sx2gQ4OzSpwTvvvMOECROOuN17773H+eefX+N6Dw8PrrrqKmbNmoVpmowaNYpOnTqxaNEiAMaNG0d0dDSDBg3itttuw2azMXr0aDp37tyg+K3iIvsdTyUw3FKbAChQAkNEXIS1YwvWR6/AgBjm/nI2iRdUbgilaVNFRERanvj4XMa9dDaXdvmQ7x7+hbiZcUfeSZziyy+/ZPTo0dX2sKjoq6++OmwCAyAmJoaYmJhKy8aNG1fp8ZlnnsmZZ55Zv2CrYRUX2+9oCIl78msDBfuxzDL7tKpuRAkMkRbGys/FnPcQ+Adgu+IW4oPziL8tr7z6QokLERGRludgM89I1uccRcS+L4mKulTNPF1UUVERN9988xG383LRBIFV4khgqALDLfm3sd8W7Ic27jXUTAkMkRbEMsswX3wM9mRhu/0hjOCQKjON6EOMiIhIy1Oxmef/DR3Pw0c/TMrSHzG693FuYFKtI80u4vIODCExXDTBIkfgf2B42f58t0tgqImnSAtiffIW/LkW48LrMHr0Lf81xlF9AWreKSIi0lI5mnl+kv4f8kv9eHPST3rflyahCgz3ZjgqMPbnOTeQelAFhkgLYa35GevL9zGGj8U4+T+V1qWm2ht4qnmniIhIy1Wxmeen347jrI7fcPHHF2L4+Ts7NGlhDvbAUALDLZUnMNyvkacqMERaACt9B+bLj0PXXhgXXU9iYhBRUZHl06Y6KjD0C4yIiEjLFx+fy9vbz8bfs5BvZ/3q7HCkBVIFhptTAkNEnMUq2G9v2untje2GOzG8vImPz61UbZGamqbmnSIiIq2AYxjJupz+bNjXi/abvtIwEml8moXEvR3ogWG54RASJTBE3Jhlmpgvz4WMdGzX34ER2q78g8uhfS9ERESk5XP8iJGams5bO87m6OC/SPlpsX7EcHGFhYVkZWVRWFjo7FBqxTrQxFMVGG7KjSsw1ANDxI1ZX30A637FuOBqjD4DgIPjXzVtqoiISOvkaOId4Hkqd/V5is9v+JHbfx+hzwQuZvv27SQlJbFmzRp2795dvrx9+/YMGjSIsWPH0rlzZydGWDOrxJHAUAWGW/LxA5tNCQwRaT7m0kVYn7yJcdwIjDFnVlpXsUxUH1RERERal4rNPBcuOoVzo77kwg8vxGgT4OzQ5IDHH3+clJQUhg0bxs0330xUVBR+fn4UFBSQmprKhg0bePLJJ4mOjubWW291drhVlDfx9FQFhjsyDMNeheGGQ0iUwBBxQ2bSp1jvvgQDhmBcfpP9f0Ic/MWloqioSP3iIiIi0grFx+cy9sXzuLjzx/zw0E+MnnWKs0OSA4YPH05sbGyV5QEBAfTp04c+ffpw9tlns3r1aidEVwtq4un+/Nq4ZQWGemCIuBnzi/fsyYuYE7DdOA3D26d8XXXNO1NT05S8EBERaWUcPbE25PZh1Z6BdNryOdFREWrm6SIqJi82b95c7TbJyckMGTKkuUKqE0tNPN2ffwBWgRIYItJELMvC/Ph1rIVvYAwdie26/8PwPPimUVPzTn1QERERaX0ONvNM441t59K9zXZ2fPu1ftRwQTNnzqx2+axZs5o5ktrTNKotgJsOIVECQ8QNWJaF9e5LWF++j3HSOIwrb8Xw8Ki0zaHVF1On5qr6QkREpBVz/Ljxxc44souD+fyOH/TjhgsxTRPTNO2f8yyr/LFpmqSnp+NxyGc9l1JcBB4eVT6Pihvxd88hJOqBIeLiLLMM641nsZYuwhhzBsYF15T3vKgoISGwUrJCiQsREZHWrWIzz/e+OJNrur1Fyh+/Y4SEOTs0AS688MLy+xMmTKi0zmazcfbZZzd3SLVmlRSrgaebM/wDsJTAEJHGZJWVYS14HOvXxRinno8x/uIakxeJiZUbeKp5p4iIiIA9kTHsuXOZ2ON1lj/yIyfOPtfZIQnw9NNPY1kW999/Pw888ED5csMwCAoKwtu7dgmCdevWsWDBAkzTZMyYMYwfP77a7ZKTk7n77ruZMmUKQ4cObVDsVnGR+l+4Ow0hEZHGZBUVYr7wqD15cfal2M6+pNrkBRystnAMIVHzThEREYGDw0i27Y/mh4xhdE39ki7R7TWMxAW0a9eO9u3bM2/ePNq1a1f+X3h4eK2TF6ZpMn/+fKZNm8bcuXNZtmwZKSkp1W735ptvMmjQoEaJ3SouVv8Ld+fXBkqKD/YzcRNKYIi4IGvzBswHJsPaXzAuuAbbqf+rdrtDG3c6bvWhREREROCQZp7bzyXCdzdbP1moHzmc7NVXX2Xv3r2H3Wbv3r28+uqrh90mOTmZiIgIOnTogKenJ8OGDWPlypVVtvvqq684/vjjCQoKakjYB5UUqwLD3fkH2G/dbCYSDSERcSFWSTHWwjexvl0IYe2x3TYLo/eAGrd3jG11JC5SU9Oq9MIQERGR1s0x1NRGB1IKItg2M4kLV5ynoaZOFBkZyV133UV0dDRHHXUUkZGR+Pn5UVBQQHp6Ohs2bCAtLY1zzjnnsMfJzs4mLOxgT5OwsLAq07JmZ2ezYsUKpk+fzrPPPnvY4yUlJZGUlATA7NmzCQ8Pr3a7nNISPH39CKthfXPy9PSsMU5ncKV4DhdLQYcI9gEhPt54NlO8jfHcKIEh4iKsbcmY8+dC+g6MEadgnHclhq/fEfc7tNpCH0RERESkoorNPN9YeB539n2alBU/Y0R1cXZordbYsWMZNWoUq1atYu3ataxcuZL9+/fTpk0bOnfuzNixYxkyZMgRZyKxLKvKskOHHL/yyitcfPHF2GxHLr6Pi4sjLi6u/HFmZma123kUFVFq86hxfXMKDw93iTgcXCmew8Vildn/7exJ2YHh08ap8URGRtb6GEpgiDiZVVqK9eV7WF+8B0Eh2G65H2NAzBH3c/yaUpEad4qIiEhN4uNzGfDUeG7t9QKbHv+WwXOucXZIrZqnpydDhw5tUEPNsLAwsrKyyh9nZWUREhJSaZt//vmHJ554AoB9+/axdu1abDYbxx13XL3PqyaeLYD/gaSFhpCISG1ZqdswX54L2//FGDoK48JrMRzj0Y6guuEjIiIiItWp+MPHJ2n/4QxrEUd1mcI1k1W96WyvvPIKw4cPp2fPnnXet0ePHqSnp5ORkUFoaCjLly9n8uTJlbZ55plnKt0fMmRIg5IXwIEeGGri6dYOJDCs/flUP02Aa1ICQ8QJrJISrKRPsT59E/zaYLvhLoyYE2q9v6ovREREpC4cP3wA/OeoC7ig02f8+dIb2Mae5eTIxLIs5syZg4+PD8OHD2f48OG1Lqn38PDgqquuYtasWZimyahRo+jUqROLFi0CYNy4cU0Tc3ERBPk3ybGlmTh+NHWzqVSVwBBpRlbBfqwl32AlfQJ7syHmBGyXTMIIDK7TcQ6tvlDiQkRERI7k4A8gkazKHkj4gm8YccX1TJmar88RTnTllVdy+eWX88cff/DTTz9x99130759e0466SROP/30I+4fExNDTEzl4cc1JS5uvPHGRonZKi7G8NQQErfmGEKy372GkGgaVZFmYO3bg/nx65h3Xo31wQKIiMZ26wPYJt5Z5+QFqHGniIiI1J1jStWpU3NZsO0CurZJYcfXn+tzhAuw2WwMHDiQSZMmkZCQQGBgIK+//rqzw6qRpSEkbs/w8gZPL7dLYKgCQ6QJWbt3Yi36GGvZd1BaAoNPwHbKuRjdetX7mI5fTyoOIdHwEREREamt+Phcus4dza7CcArmf02Px2OdHVKrV1hYyIoVK1i2bBkbNmygX79+jVYt0SRKitXEsyVoE6AhJCIC1vZ/sb7+EGvVMvCwYZwwGmPc2RgRUQ0+dnx8LomJgaSmphEVFanmnSIiIlJrFftovbn9HKb6vsDw3iWcfX2ofghxksTERNauXUv37t058cQTufHGGwkKCnJ2WIdlFasCo0VoE4iVt8/ZUdSJEhgijcTatwfr9zVYK5fAn2vB1w9j3FkYcWditA1r8PEPbdzp6H+RkBCoDxwiIiJSKxWbeQ7qdg439XyZx8e/SWz8Fc4NrBXr3r07l112GeHh4c4OpdaskiL7EARxb4HBkKsEhkirYJkmbPsH6/eVWL+vhq2b7SvahmGcfSnGyP/WekrU2qhu2lQlL0RERKSuKv4o8kV6HHFl39C78y1cf4upzxVOMH78eGeHUCeWZYEqMFoEIzAYa8cWZ4dRJy7TxHPdunXccsst3HzzzSxcuNDZ4RzRjBke5fcdDRUrNlas7n5D1zfnubS++vVPPWpgrfoJc8ET5E66EvOheMzP3gUPD4zxl/Bm1xewPfoytlP/R+KzHRs9lnPPrVzJoQ8ZIiIiUlcVm3m+su0CAr3y+WvBm/pcIbVTWmq/VQ8M9xcYBLk5zo6iTgzLsixnB2GaJrfccgv33HMPYWFh3HXXXdxyyy1ER0cfdr+0NOeN/a/Ye8Bxv7pljbm+Oc/VEtYXFRWTmZlZ7/1Ttu+AzF1ceUo+L89ci7XxN0o2bsDLVgb+ASxMPpGz7+3HwAmn8cfW/U36t0ydmltp+IhDS2jcGR4eTmZmprPDkMPQNXJ9ukauT9fIPbSm61SxCuPjE64kzHsPIxd/yK1T97v0ZwtnXqPIyEinnNeZqvu+Ze3Pw7zlIozzr8Y29iwnRFWZq71uXSmeI8Vifvo21mdvY3v2IwzPph+cUVM8dXltucQQkuTkZCIiIujQoQMAw4YNY+XKlUdMYDiL+cECPhm2ibKHSgBYeII3ZQ+X8NEJPpTNLgbgo6HelD1iX//BUB/KHinm/aE+lD1aBIbBe8f7UDbHvu07x/tQ9lgxbx/nQ1mCfdlbx/lSllgEho1XYv0oe7oUDBvPDfbHfL6YJ44JwJxfBDYbjwwIxHy9EGw27j8qCPPdAqb1DcL8cD/YPJjaKxjzs3yw2bi+Wyjmd4Vc1Ckcc/l+8PJibPsOWH/kgpc3MW0zsbbn0CugEGv3XvD0oq2XP1ZhQYstE/PzKMDa9g9W+g7ie+VQ9uxGvj1pJ+ZN26G0lPmxYC0EorrwwpZLufn5vtC9D5M7d+LcoWnsKWkL7G/SGKsbPiIiIiJSX47PFgkJgcx/6yLmxdzF9s8/wRg81NmhiasrsX/HUQVGCxAUbL/N2wdtQ50bSy25RAXGL7/8wrp165g4cSIAS5YsYfPmzVx99dWVtktKSiIpKQmA2bNnU1xc3KxxzpjhwcyZHtzS80Vi2v6OYdifOgMLgwP3y5dRvs7u0PUHt6u67OCtzTDxMExsRhmeRlml+/Z19mX228r3bdj39bSVNdpzUGp6UGx6UWT6lN8WmV4UlXlTZPpQWOZDkVn1flGZN4UHbotMn8r3q9un7OA2pZZnhWcQLAywjIP3D9xagIdRRpBnHoGeeQR65RHkmUeQV679sWcegV755cvaeu2ja5vtRPvtrPT3bdsfxT/5XUnO60Zynv323/wu7CutWgHhTCedZJKUVOrsMBrM09OT0lL3/ztaMl0j16dr5Pp0jdxDa71O/r42lo4cj61dRwa//oyzwzksZ14jb++W+WPe4VRbgZG5C/OuazGumIztxDgnRFWZK1U8gGvFc6RYrNXLMJ97BNt9T2B06ua0eNyuAqO6HIphGFWWxcXFERd38EXS3P8wbrjB/h+cRlTUtW40hKQjKTtSoMykd492bNqwnSEDQ1n9awqUFPOfMW355vM0KCnm4guCePOVndxwbQDzntwFpSXcd6c/D07PhJJi5iX4csukbN59wZurLt0LJSV89rEHp5+yD0qK+fWnMk4cksFff1j07bEfiovJziglNLDI3uzHMpv2Ih1BQZkPfqH+JKcG0fNoH4z2fXj0tfHcMbctRETTd2gMW3ZkMqra5zfXJYbLVBw24iL/b2wQV/qfvFRP18j16Rq5Pl0j99DarlPFYSQLtk7gXr/HGdLuX8ZdE+Wyw0g0hMQFOCowPFWB4fYCD1RguFEfDJdIYISFhZGVlVX+OCsri5CQECdG1NIYGDYPsHmwv8wfIyCIXUXtMdrZs9d/7ovE6GGfa3pxZiTG4DQ+S4/kuWH2L80LtkUy8z/2+49dH8mU/6Ux/dZIrrnMvmzSfZGc9bn9/v8eiyT1wzTGRUWS+o592aAKX8C7RLdna/JWBh4VxvpV26GkmLiRbUn6MgVKSrjo/EDeejWdG65pw7wnMqCkiHumBTJzhv1Fdd+9QTz44F6mTw/mgQf2AnD/9CDun25fP/2BEB54tIRrbu7EB5/7kFNSyolx3Vi2Jg/8/OnTpQupqWmMjook9W17TE9Nj+TOIfb7xabrZ9Zd9QOFiIiIuJeKU6r27TKeKb1e4KvbXsJ29VQnRyYurcReBW94+zg5EGmwwLYAWPv2UrV8wDW5RAKjR48epKenk5GRQWhoKMuXL2fy5MnODuuw7rnn4LCMqVNzK93WdL+h65vzXE21fvKUAgxff664yRMjrB0Ap14biNG9DQCxlwViDOpCrwsDsZ1o3y/s3EBsY+z3Q9YFYovLpe1v9luA4N8CsY2z32/7u32//hcH4j3QByMzk3MnBmIEejTq39ccz1V164cOLUJERESksVSswnhvx5lcuvx9hs26g4tv9NWPJlK9AwkM9cBoARx9L3L2ODeOOnCJHhgAa9as4dVXX8U0TUaNGsU555xzxH2cOQtJaysxdEe6Ru5B18n16Rq5Pl0j16dr5B5a83VKSAjkw+dyWDzibDxOOw/b2Zc6O6RqaQhJ86q2B8bfv2M+dje22/6fvTuPi6r+/jj+usOOILKoKLjvVpqmLeZW0d63zBbbs9Wy1By0zFZT00oGtaxMzcz6lS1q+0ZalrZYZqZm7gugIpssgixzf3+Mw6KgoMAM8H4+Hj6Y5c7cIxeYuWfO55zJGJ3OcEFUpbnb7607xXPCHhimiX3EEIx+l2IZck+521V3PLWuBwZAz5496dmzp6vDEBERERGpd6KjM7HZIvl2/wAGfP0NDa64EcNHSwSkDM4KDPXAqPUMw4CgEDiY6upQKsxtEhgiIiIiIlLzSi4jmbvjFi4L/4HHBqyh6Q2XaBlJLbB27Vrmz5+P3W7noosuYtCgQaXu/+mnn/jkk08A8PX15d5776V169Ynv0PnJEgv9+8dJxXQKAQzPeXE27kJi6sDEBERERER14mOziQhIZGEhER+T+vBuoNdmHLxQqyja89kgvrKbrczb948xo8fT2xsLCtXriQ+Pr7UNk2aNOHZZ59l2rRpXHfddbzxxhuntE8zXwmMusRoFALptacCQwkMEREREZF6LiYmkIiI5oDBnB23wr54hp61nZiYQFeHJsexdetWwsPDadq0KZ6envTp04fVq1eX2qZTp04EBAQA0KFDh1LTH09KwZExqmriWTc0CoGDabhJa8wT0hISEREREZF6zjlSNSYmkJmxUTzacRZv3jQXj+iprg5NjiM1NZXQ0NCi66GhoWzZsqXc7ZctW0aPHj3KvT8uLo64uDgApk6dSlhY2DHbHPLxJhMIaRqOR3DoMffXNE9PzzLjdBV3iqcisWQ3b0FW3mFC/XywBDR0eTwnfI4qikVERERERGo5RzPPQObuuJUJ/tMwt/6L0b6Lq8OScpT1qblhGGVuu379epYvX85zzz1X7vNFRUURFRVVdL2siRH2NMfIzdTMLIxC139q705TP8C94qlILKZvAwBSNm/CaNnWJfFUZgqJlpCIiIiIiEiJZSTwfvw1pOUF8eXor7SMxI2FhoaWWhKSkpJCcHDwMdvt2rWL2bNnM3bsWAIDT/F4qgdG3RLWxPE1Jcm1cVSQEhgiIiIiIlKqmWdOoR8Ldt3AZc1+xHrLv64OTcrRrl079u7dS1JSEgUFBaxatYpevXqV2iY5OZlp06bx8MMPV+qT7nLlH+mB4ali/joh1JHAMFP2uziQitFPnYiIiIiIAKVHqi7YdSMPtF3IkqHfsv+SURqp6oY8PDy4++67mTx5Mna7nQsuuIAWLVrw7bffAnDJJZfw0UcfkZWVxdy5c4seM3XqKfQ2yc8Db+9yl6pILdMgEHx8Ibl2VGAogSEiIiIiIkDpZp42WwgfxP+PO9otxXLPICDE1eFJGXr27EnPnj1L3XbJJZcUXX7ggQd44IEHqm6H+XkYXj5V93ziUoZhQGgTTC0hERERERGR2shZbTFnx63YC+yYyz53cUTiNvLzMLzV/6JOaRwOSXtdHUWFKIEhIiIiIiJFSjbz3HWoBV/uvZD0T79m5oseLo5M3EJ+vhp41jFG0whI2otpL3R1KCekBIaIiIiIiBQp2cwT4PXttxPklcXDZ37s4sjELeTnYSiBUbeER0BBPqQccHUkJ6QEhoiIiIiIlFKyCmPdwdNYlXIWiW9/Tuw0XxdHJq5mFuRj+KgHRl1ihEc6LuyLd20gFaAEhoiIiIiIlOKswrBaHb0wXt02lGZ+SYw69zMXRyYupwqMuudIAsPcu8fFgZyYEhgiIiIiIlImZzPPFcnnkuTTAfObxbVinbxUo/w89cCoY4zAhhAUAnt2ujqUE1ICQ0REREREjlFyGQkYPPvL3bAvgU8n/O3SuMTF8vIwvLWEpM5p2RZzz3ZXR3FCSmCIiIiIiMgxjm7m+eW+C6FJM67yegfTNF0cnbhMQb6WkNRBRsu2sHcPZt5hV4dyXEpgiIiIiIhImUpWYdjx4LHv74ZdW/lw4hYXRyYuk5+H4a0ERl1jtGoPdjvs3ubqUI5LCQwRERERESnT0c08P064EhqFcF2Dt10cmbhMfr56YNRF7bsCYP633sWBHJ8SGCIiIiIiclzOZp55dm9WeA2BTeswd2x2cVTiEvnqgVEXGYENIbI15n//uDqU41ICQ0REREREylW6mScMe+cm0vMasnnmJy6MSlwmP19LSOooo0t32LIBM+eQq0MplxIYIiIiIiJSrqObeWYXNiB48OW0z/oJc+8eF0cnNa4gT0086yjjrPOhoABz7W+uDqVcSmCIiIiIiMhxHV2F0W3UfeQU+rB+2qcujEpqmllYCIWFoCUkdVObjhDaBPPnb10dSbmUwBARERERkeM6uplnWn4j/C+5hK7ZcZgpB1wcXf22du1aRo0axYgRI1i6dOkx95umyZtvvsmIESMYM2YM27dvP/md5ecBqAKjjjIsFoyL/gebN2Bu2ejqcMqkBIaIiIiIiFSIs5knwNydtwJgfrfURdGI3W5n3rx5jB8/ntjYWFauXEl8fHypbf766y/27dvHzJkzuf/++5k7d+7J7zA/H0A9MOowo98lEByG/e1XMDMzXB3OMTxdHYCIiIiIiLi/mJhAbLbAousTXm5Pw26XM2jZt/hceSNGYJALo6uftm7dSnh4OE2bNgWgT58+rF69msjIyKJt/vjjD/r3749hGHTs2JHs7GzS0tIIDg6u/A6PVGBojGrdZfj6YblrFPaXJ2J/eji07oDh53/qT+ztDWMmnvLTKIEhIiIiIiInFB2dWVSB4eyHMeTNy7E/8wXmss8xrrnVleHVS6mpqYSGhhZdDw0NZcuWLcdsExYWVmqb1NTUMhMYcXFxxMXFATB16tRSjwMopJC0iFZ4BYccc5+reHp6uk0s4F7xnHQs/S4iv3kk2UvfoXBvAmbqqS8TM3x9q+R7owSGiIiIiIhUyNFVGJG9zmF2z4Fc8OUX+F96LYZvFXxSKxVmmuYxtxmGUeltnKKiooiKiiq6npycfNQWHvDsy3iFhZVxn2uEuVEs4F7xnFIsQaFw56gqi8UECgoKyoynefPmxz6gHOqBISIiIiIiFXJ0M0+AK2deia89C3PFNy6MrH4KDQ0lJSWl6HpKSsoxlRWhoaGlThrL2kaktlACQ0REREREKqVkM0/b4rOgczfM7z7BPNLkUWpGu3bt2Lt3L0lJSRQUFLBq1Sp69epVaptevXqxYsUKTNNk8+bN+Pv7K4EhtZaWkIiIiIiISIUdvYzEZgvk99Bh/N85D2H+sgyj/6UujK5+8fDw4O6772by5MnY7XYuuOACWrRowbfffgvAJZdcQo8ePVizZg0jR47E29ub4cOHuzhqkZOnBIaIiIiIiFRYWc083/87Evvk9pjfLMbsG4Vh8XBliPVKz5496dmzZ6nbLrnkkqLLhmFw77331nRYItVCS0hERERERKRSYmICi5IXAJGREQxbch8k7cX88xcXRiYidZkqMEREREREpFKcVRgll5PMWd0J+9MRjiqMXueXO+lCao/jTYeozOSI6uZOsYB7xeNOscCpx6MKDBEREREROSmlmnnGBmFEXQ27tsKWjS6MSqrbuHHjXB1CEXeKBdwrHneKBaomHiUwRERERESk0o5eRmKzBdLh9lvJsTTEHveJCyMTkbpKCQwREREREam06OhMEhISSUhILLpt255U/C+7DNb+hpm014XRiUhdpASGiIiIiIiclKOrMCIimnNW9N0Umh6Y33/mwsikOkVFRbk6hCLuFAu4VzzuFAtUTTxKYIiIiIiIyElxVmFYrcW9MP7anofnef0wV8ZhHspyYXRSXdzpxNidYgH3isedYgElMERERERExA2UbOYZExOIEXUNHM7F/OlbF0YlInWNxqiKiIiIiMhJKzlKFRzNPG22vvx8fQ9afv855kVXY3jqtKMuWLt2LfPnz8dut3PRRRcxaNCgGo/hoYcewtfXF4vFgoeHB1OnTiUrK4vY2FgOHDhA48aNGT16NAEBAVW+71dffZU1a9YQFBRETEwMwHH3vWTJEpYtW4bFYuGuu+7izDPPrPZ4PvjgA77//nsaNmwIwM0330zPnj2rPZ7k5GRmzZpFeno6hmEQFRXFFVdcUeXfH1VgiIiIiIjISSurmWdCQiKt774K0pIx/1zpwuikqtjtdubNm8f48eOJjY1l5cqVxMfHuySWZ555hpdeeompU6cCsHTpUs444wxmzpzJGWecwdKlS6tlvwMHDmT8+PGlbitv3/Hx8axatQqbzcYTTzzBvHnzsNvt1R4PwJVXXslLL73ESy+9VJS8qO54PDw8uP3224mNjWXy5Ml88803xMfHV/n3RwkMERERERE5JWU182xxxf9I9W6B+d0nmKbpwuikKmzdupXw8HCaNm2Kp6cnffr0YfXq1a4OC4DVq1czYMAAAAYMGFBtcXXt2vWYyo7y9r169Wr69OmDl5cXTZo0ITw8nK1bt1Z7POWp7niCg4Np27YtAH5+fkRERJCamlrl3x8lMERERERE5JSU1cwzPmEfoTdcBbu2wvb/XBidVIXU1FRCQ0OLroeGhpKamuqSWCZPnsxjjz1GXFwcAAcPHiQ4OBhwnEhnZGTUWCzl7fvo71dISEiNfb+++eYbxowZw6uvvkpWVlaNx5OUlMSOHTto3759lX9/lMAQEREREZEqcUwzz3MHgLcP5qplLoxKqkJZVTSGYdR4HBMnTuSFF15g/PjxfPPNN2zcuLHGY6gIV1UdXXLJJbz88su8+OKLBAcH8/bbb9doPLm5ucTExDB06FD8/f3L3e5k46lwAmPBggXs3LnzpHYiIiIiIiJ129HLSGy2QCLbtedf3/6Yf/yEmZ/nwujkVIWGhpKSklJ0PSUlpeiT9ZoUEhICQFBQEL1792br1q0EBQWRlpYGQFpaWlEDy5pQ3r6P/n6lpqYWxV6dGjVqhMViwWKxcNFFF7Ft27Yai6egoICYmBj69evHOeecA1T996fCCYzCwkImT55MdHQ0S5cuLbUzERERERGp38pr5nnaPX3hUDb8/bsLo5NT1a5dO/bu3UtSUhIFBQWsWrWKXr161WgMubm55OTkFF1et24dLVu2pFevXvz4448A/Pjjj/Tu3bvGYipv37169WLVqlXk5+eTlJTE3r17ad++fbXH40wWAPz++++0aNGiRuIxTZPXX3+diIgIrrrqqqLbq/r7Y5iVqN2w2+389ddf/PTTT6xZs4YOHTrQv39/zjnnHHx9fSv7fzxliYmJJ96omoSFhZGcnOyy/cuJ6RjVDjpO7k/HyP3pGLk/HaPaQcfp1B09UhXAQiH/XH0lgV1a4zHy6VN6flceo+bNm594ozpuzZo1LFiwALvdzgUXXMDgwYNrdP/79+9n2rRpgOMD9r59+zJ48GAyMzOJjY0lOTmZsLAwrFZrtYxRnT59Ohs3biQzM5OgoCBuvPFGevfuXe6+Fy9ezPLly7FYLAwdOpQePXpUezwbNmxg586dGIZB48aNuf/++4sqZaoznk2bNvH000/TsmXLoqVFN998Mx06dKjS70+lEhgl7dmzh5kzZ7J79268vb05//zzufHGG2ukLMZJCQw5Hh2j2kHHyf3pGLk/HSP3p2NUO+g4VZ2SiYyEhETsHy/A/HYJlpfmYzQ8+WUHSmCI1G+VauJ56NAhli1bxoQJE3jmmWdo3749EyZMIDY2Fl9fX55//vnqilNERERERGqJY5p5nncB2O2Yv61wYVQiUtt5VnTDmJgY/v77b7p06cLFF19M79698fLyKrr/jjvuYOjQodURo4iIiIiI1BJHLyOx2QKx2c7l98GdCP9lGVx8jQujE5HarMIJjA4dOnDPPffQqFGjMu+3WCzMmTOnquISEREREZFaKDo6s6gCwzmVJCEhEfuyAZjvvYEZvwMjso0rQxSRWqrCS0iuvvrqcpMXTj4+Pqcaj4iIiIiI1HJHj1SNiGhOt7tvpBBPzF+WuzAyEanNKtUDQ0RERERE5EScI1Wt1uJeGOt3HsLjzF6Yv/6AWVjowuhEpLZSAkNERERERKrFMc08e/eFjHTYvd11QYlIraUEhoiIiIiIVLmjl5HYbIH0HBIFgLl5vavCEpFaTAkMERERERGpcs5lJAkJiUW3rd2RB00jMLdscGFkIlJbKYEhIiIiIiLVoqxmnu+t7k3uPxsx7eqDISKVowSGiIiIiIhUi7Kaed4yoQ2+9ixI2O3CyESkNlICQ0REREREqlXJZp5zfzgHUB8MEak8JTBERERERKTaHL2MZMLL7dl9qDmbP9/kwqhEpDZSAkNERERERKpNWc08s8JPpwN/Y5qmCyMTkdrG09UBiIiIiIhI3RYTE4jNFlh0/c2fz2Fat295a0oqd40PdWFkcjyJiYll3h4WFkZycnINR1M2d4oFFM+JlBVP8+bNy9n6WKrAEBERERGRanV0M8/fUnsCcGef310ZlojUMkpgiIiIiIhItStZhbHrUCT7chuz+MUdxMQEnuCRIiIOSmCIiIiIiEi1K12FYbAtqxXXDthVakKJiMjxKIEhIiIiIiI1xpmwSMtvROruLBdHI9XNHvcpZvwOV4chdYQSGCIiIiIiUiNKjlRNyQvGyMogIqK5lpHUUWbOIcxFc7HHPuPqUKSOUAJDRERERERqRMmRqml5jQjyyiB+9x4tI6mrEnc7vnp6uTYOqTOUwBARERERkRrjrMJIyWuExTDp3r6BqjDqIDPvMOZP3zquNA53bTBSZyiBISIiIiIiNcZZhXHexb4AhHink5CQqCqMOsZc8TXmyjgAjKBgF0cjdYUSGCIiIiIiUuOuuskbgBDvNFVf1EWpyUUXzcICFwYidYkSGCIiIiIiUqNiYgK5+Np2gKMCw2YL1DKSuiY9FUKbQEQryM93dTRSR3i6OgAREREREalfoqMzsd5zGPtYCPFKByAhIdG1QUmVMlMPOHpf5Oc5/olUAVVgiIiIiIhIjZsxxzFONcQ7DYCIiOaqwqhLUpMxQho7JpCoAkOqiBIYIiIiIiJS4x4Zexh8fLno3OJeCWrmWTeYBQWOJSQhjcHLWxUYUmWUwBARERERkRpnHj4Mh3M5a4Bv0W2qvqgjMtLAtENwKHh5QYEqMKRqKIEhIiIiIiI1LzUJgIef7Vx0k5p51hFZGQAYgUEYqsCQKqQmniIiIiIiUvOS9wMw631vXm2XSESEoyeGmnnWAVlHlgE1CHBUYKgHhlQRJTBERERERKTGmcmOCozXP2rLpJnNi253JjKs1kz1w6ikV199lTVr1hAUFERMTAwAWVlZxMbGcuDAARo3bszo0aMJCAio1jjMbGcCo6F6YEiV0hISERERERGpecn7wcubBx71IiEhEau1OFmhZp4nZ+DAgYwfP77UbUuXLuWMM85g5syZnHHGGSxdurT6A3EmMAICwdNbFRhSZZTAEBERERGRGmem7IfQxhiGAVAqYaEeGCena9eux1RXrF69mgEDBgAwYMAAVq9eXf2BHL2EpEAVGFI1tIRERERERERqXnIShDUFHAkLm604aWGzOa5rGcmpO3jwIMHBwQAEBweTkZFR7rZxcXHExcUBMHXqVMLCwsrcztPTs9z7ADLtBeT4+tM4vBlZQY3ILiwkNLgRhkfVn36eKJaapniO71TjUQJDRERERERqXsp+jNbtAUf1hTNRoWaerhMVFUVUVFTR9eTk5DK3CwsLK/c+APuBJMwGASQnJ2M/snwked8+DB/fch9zsk4US01TPMdXVjzNmzcvZ+tjaQmJiIiIiIjUKDP3kGOZwZEKDHBUYTiTF+BIZGik6qkLCgoiLS0NgLS0NBo2bFjt+zSzMx3LR8DRxBPUyFOqhBIYIiIiIiJSs45MICG0OIERHZ2pZp7VoFevXvz4448A/Pjjj/Tu3bv6d5qdCQ2OJJ68vBxf1chTqoASGCIiIiIiUqPMHZsBMJpFHHOfmnmevOnTp/Pkk0+SmJjIAw88wLJlyxg0aBDr1q1j5MiRrFu3jkGDBlV/IFkZGAFHKj08VYEhVUc9MEREREREpEaZv/4ATSMgonWp29XM89Q88sgjZd7+9NNP12wgB9MhyNE4tHgJiSow5NQpgSEiIiIiIjXGTEmCzesxrrm1aISqk5p51n5mbg4czoGGjgSG4eWFCRqlKlVCS0hERERERKTGmL/+AIBx7sAy71czz1ouw9Ew9JgKjDwlMOTUKYEhIiIiIiI1wjRNzF+XQ4euGCUmkJSkZp613MF0AAxnAsPHx/H1cK5r4pE6RQkMERERERGpGTu3wr4EjHMvOOGmauZZSxVVYDRyfPV3jFM1c7JdE4/UKUpgiIiIiIhIjTB/XQ6eXhi9zj/udkcvI7HZHNcnTvSo7hDlFJnpzgRGiOOrfwPH1+ws1wQkdYoSGCIiIiIiUu3MggLM1T9hdD8b48in8uVxLiMp2cAzISGRp54qrO4w5VRlpIHFAg2OVM04j7UqMFzGtBdif+MlzI1/uTqUU6YEhoiIiIiIVL8Nf0HmQYzzTrx8BMpu5unj463lJO7uUDb4N8CwHDnV9PIGT0/H7eIaWzdhrv4Je+wzmKbp6mhOiRIYIiIiIiJS7cxflkFAQzitZ4W2L6uZ5+HDeWrm6e5yc8DHr+iqYRjg1wAOaQmJq5h//VJ8Zfd21wVSBVyewFi4cCGPPPIIY8aM4aWXXiI7u3Zk5kquvyuZBXZeLuu2qti2Ovdx3XWhiIiIiIhUNXPrv5hrVmH0uRDD07NSjy2ZsIiKqtxjXW3//v0V+peUlOTqUKuMmZsDvn6lb2wQoAoMFzFNE3PNL9C2ExgWzLW/ujqkU2KYLq4h+fvvvzn99NPx8PDgnXfeAeC2226r0GMTExNPvFE1MPfG0+7s7mzfkwI4ytmc6/Ocl8u6rSq2ral91AVhYWEkJye7Ogw5AR0n96dj5P50jNyfjlHtoONUPczDh7E/NwoKC7A8OxPD17/Cj42JCcRmO3bJiNWaWeOVGM2bNz/xRkcZMmRIhbbz9vZm4cKFlX7+6lbe+dbxflcKbU9B3mE8xr1YfNvzY8CvAR6jJ1R5jO72e+tu8QQdTCZ1zN0YQ0dirvoeDh3C45kZLounrO9PZX63XJ7C7N69e9Hljh078uuv7p0RMv/7B/u0J9hyGRROaIMR2YoH2p6B+U8IRLQCmrk6xFMWExOo0jwRERERqRLm0ncgKRGLdWKlkhfgqL6Ijs4s1QujNn3g5uPjw9tvv33C7e66664aiKaG5OYUTx5xahAAWTq/cIW8f9YAYHTrDXvjMb//FNM0HUt7aiGXJzBKWrZsGX369Cn3/ri4OOLi4gCYOnUqYWFhNRUa4Fg28vykpsR0W0lqfiM6HNhB560bGN/5B+wzHdusi2rIquvaMfG09jx2Xjs2ZbYn0LPhMQ2Ijr58ovur4nGV2Xb16gbExRUc/xvi5jw9PWv8Z0QqT8fJ/ekYuT8dI/enY1Q76DhVvbyNa0n7/lP8LhtMw34XVeqxEyd68NRThccsG3G+X+3Xz+7271eHDh1aoe3uvPPO6g2kJuXmQHDp3yPDrwFm0j4XBVS/2dOSwccXIzAIs1EwFBQ4+pE0qJ3NcGskgTFx4kTS09OPuf2mm26id+/eACxevBgPDw/69etX7vNERUURFRVVdL2mS3MefNDxDx4otdyia+sGbPj2N8yEXXw+9QC3XbCRrpu+JNCrxDqvkMYQ0YpZS0/n4SmhGBGtaHNub3bGH3C7JSQREc15//19PP547a7EcLfyLSmbjpP70zFyfzpG7k/HqHbQcapa5uFc7NOfg9AmHL5ySIW/t85q4EmTmjNpkscx95dcPlKTh+tklpBceOGFFdpu4MCBlX5ut5Wbg3F0Dwz/Bhqj6iL29FRo2MhxpWGw42t6mhIYx/PUU08d9/4ffviBP//8k6effrpWlrIczA/C6Hg6RsfTGX9bc+78JpHTIpoRv+5viN/FlBGpjLv9H8yEXdzfZiHm3EJM4N9LPSl8NoIZ3btg/6YZRsu2BHk1OOH+qoOzmWdZ1RpArU5kiIiIiEjNMxe/DQf2YRnz/LEntEcpuYTZZiu+XNYHbbXpfen69esrtN3pp59ezZHUoDKbeAZCdmatXrpQW9nTUiDIkbgwgkIwAQ6mQkRLl8Z1sly+hGTt2rV88sknTJgwAR8fH1eHU2FPPllYdLnkaCfnZas1CyO0CYQ2weeaQCz3XQrAzGm+PHLTJsyEXfy9eC+9Q7dwUas1mB8lYQL/XAyF45pAi7YsuqMz5t+R0KIt1tEBZezj2P2WH8/x74+OzmTVKm8+/jjlmBeI2vZCISIiIiKuZf63HnPZ5xgXXoXRqfyTc2fiwpm0ONGHav362asv6Grw2muvlbqempqKYRgEBgaSmek4oQ8NDeWVV15xUYRVyzRNOFxGAiOgIdjtjioM/4CyHyzVojA9FRof6dN4JJFhHkyjtqaRXD6FZMSIERQUFBAQ4PhB7tChA/fff3+FHuuqKSRQ9SWGZmYG7NmGuXs77N6OuWc77E8E5+EJDIIWbTFatoWWbTFatYPGzao8g3m8Ts9QuyoxVAZaO+g4uT8dI/enY+T+dIxqBx2nqmHm5mCfMBIMA8szMzF8fI/Zxpm4KPnBWVmcy0Wc27vyGJ3MEpKSFi9eTFZWFkOGDMHHx4fDhw+zaNEiAgMDufbaa6soyqpV2SkkZt5h7A/dgDH4DiyXX190u/2X5ZhvxmKZ/DpGk1P7PlY0Fldxt3jso2+D3n2x3PIAZu4h7CNuwrjuTiyXXeeSeGr9FJKXX37Z1SG4BSOwIXTtgdG1R9FtZm4OxO8oldQwv/sECgscpT+BQdCuM0bbzhjtOkPr9hjep1bFUjJBUTKRUfJybUpiiIiIiEjNMU0Tc9FcSElyLB0pI3kBpd9blpW8OHq5SF14//nFF18we/ZsPD0dp2A+Pj7ccsstDBs2zG0TGJWWm+P4elQFhhEQ6Dh/ycyAKk5gSPnM/HzMrAyMI70vDF9/8PGFg2kujuzkuTyBIeUzfP2gfVeM9l2LbjML8iFxN+bOLbB1E+a2TZhrf3P8QfDwcFRptOuM0aErdO6O0aDyJVol1x+WbADqfBHRmFUREREROZppL8R8dzbmz99hXH49RsfTSt3vfA/pXCZydNWvs9rCmdAouey5LvD19WXr1q107ty56LZt27bVqmX0J+RMYPiUsYQEILtuHVO3l5nu+Ops4gkQFIKZ5j4VIpWlBEYtY3h6Qct2GC3bQf/LADAzD8L2/zC3/etIaPz0Deb3n4FhcVRlnNYD47Qe0LojhmfFD7nVeuJ1iEpkiIiIiIhZUIA5fzrm7yscyYtrby+6r2Sfi/KWKpds3Fkbly5XxJAhQ3j++ec566yzCA0NJSUlhTVr1nDPPfe4OrSqcySBcUzT1iMJDDMro1p7L9jjPoHDhzEuvdZx3lTf7YsHwGgcXnxb46ZwYL+LAjp1SmDUAUZgEHQ/G6P72YDjBYSdWzA3/IW58S/MLz7E/HwR+PlDp24Yp52J0bUHRpNmx33eki8aR69RVHNPEREREYEjfQ9mvwjrVmMMvhPL5Y619Uc36ISKTRWpq+8v+/fvT9u2bfn1119JS0sjIiKC6667jsjISFeHVnXKWUJSVIGRlVEtuzVNE3Ppu5hffuC4wb8BxgVXVsu+ahNzxxbHhVbti24zGjfD3L651k6EUQKjDjI8PaF9F4z2XeCaWzCzs2DTOkcyY8NfmGt/dSw5adYCo3c/jN59McLL/8N5vI7Qztvr6guNiIiIiJTPzD2E/ZXJsHk9xq0PEPvnEKIvL16O7FReNW9drbYoT2RkJNdff/2JN6ytnAmKBkdV2vj6gYdntSUw2LTOkbzoeDrs3QNb/wUlMDB3bMYjoiX4Nyi+sXG4YxrMoaxjj1MtoARGPWA0CICz+mCc1ccx2ihpL+b6NZhrVmF+9h7mp//nmGzSux9Gr74YYU2PeY6KNPc8ejsRERERqbvMrAzsMybA7m18Ff44Vw08F9utFetzUV8/BPvjjz/YuHEjGRmlT+QffvhhF0VUtcy0FMeF4JBStxuG4ajCyKqe423u3QOA5b4x2N+bjbljc7Xsp9bZvR2vM3qSX+Imo3G448PspH3QpvYlMCyuDkBqlmEYGE2bY7noKjzGPo/lhTcxhtwDHp6YHy/A/vh9FE59FPv3n2Gmp5Z6bHR05jHlf86vzvJAEREREan7zPRU7NOegPidWIaPZ9i8wUX3RUQ0LzNxAdSpqSKV9eGHH/LGG29gt9v59ddfCQgI4O+//8bf39/VoVWd9BRHpUVA0LH3BQRiZqRXz373JzoahwYFY7TuCAf2YdbzhqFmfh6kJePRvGXpO460ETCTyh6R6+5UgVHPGcGhGFHXQNQ1mAf2Yf6xEnP1Csz35zhGYHXuhmXg5dD9HAwPD+D4zT3razZdREREpL4wD+zDHvs0ecnp+I5+GtuXfYGKjUOtz5YvX86TTz5Jy5Yt+eGHHxg6dCh9+/bl448/dnVoVSc9BRqFYFjK+Jy8UUi1je809ydA0+aOSo/mLR0VBvsToW2natlfrZCSBIBH06N+L5s2dySZ4nfCOQNqPq5TpASGFDEah2Ncfh1cfh3m3nhHImPVMuyvTYWQxhgXXIHR92Kio0s/rrwlJXqhEhEREalbzPVryHxlJg188rj+59dZ+8Xpx2xT3jjU+v7eMDs7m5YtHZ+Ge3p6UlBQQPv27dm4caOLI6s6ZpojgVEWo1EIZsKu6tnxvgQMZ7IirIkjluT9xbfVR0cmjXiER5S62fD0guYtMPdsd0VUp0xLSKRMRrNILFffguX52ViGj4fG4Y4lJo/ejf3tVzDjd5xwSYmzGkNEREREajfz8GH+HDsf+4xniU9vhOXRqaw9eDoJCYllvg8EJS6OFh4ezp49jl4NLVq04Ntvv2XFihUEBAS4OLIqlJ6K0Si07PsahcLBdEx7YZXuMu+/9Y5qg3adHTeEOhIYzgqEk2EWFDh6B9ZiZvI+ADzKmDxpRLaBPTtqOqQqoQoMOS7D4gE9zsWjx7mY8Tsxl3+B+etyzJ++hY6nY7noKqJHR5W7pMRJL1wiIiIitU9MTCDW69dinxvDmenxrAm+niFfj+bw2T5A+VNFQO//jjZkyBAyMx3fk1tvvZUZM2aQm5vLvffe6+LIqoZpmo4lJGecVfYGjULAtENGuiOZUUVyvvwI/AMwzo8CwPD1czQMTd5f6ecycw85ltKv/B7jmlswrrqpyuKscUl7wcsbS3AopKSUvq91e/hlGea++ONOo3RHqsCQCjMiW2O5/SEsL87HuP4uSEnC/tpURh24idHd32HsIylq7ikiIiJSB8TEBGLaCzn8yYfYp4whMzmXW36bxaB3x3HY7lO0ndWaSUJCoqotTsBut+Pt7U3Hjh0BaN++PS+//DJz5szhnHPOcXF0VSQtBQ7nQpNje6EAxZUZRw0KOBWmaZK3fg3G6T0diQunsKaYyZWvwDA/fQ9z1XLH5Q1rqyjKE+xz41+Yf6+u0ooP0zQx//kT2nZy9AU5itHjPDAMzN9WVNk+a4oSGFJpRoNALJde61he8tB4CAvHXDSPEQdu5ZunfsTTKCi3uaeWlYiIiIi4L+d7tQ9fy8D+0nge6/Qqn+65kD5fLeLnlOITbU0VqRyLxcKLL76Ip6frCuDXrl3LqFGjGDFiBEuXLq36HSTuBsA4euqFk7M3RhUmMEjejz01GTp0LXWzEdqk0hUY9m8WY373Cca5AzEu+h/s3lbly11KMjMzKJz2BPbYZ7C/MhHz5++q7sn37ID9CRi9+5V5txEcCp27Yf72Q61bKqMEhpw0w+KBcea5jnGs1okQHErUvhj+vPo6Zt+7FAN70bY2W2CZI7VERERExH3YbAF89dTPfNPvZg7+u4eRayfy8NrnOZjvGItZssq25HIRObEuXbqwefNml+zbbrczb948xo8fT2xsLCtXriQ+Pr5K92EeSWDQvEXZGxypwDDTU8q+/2T2+cNXABgdTit9R1hTSE3CtNvLeFQZz7MvHnPx29C5G8YNd0Or9pB3GPYmVDyW3dsxN60jf/NGzENZx982aS/216fC5vUY/7vJMWL2798rvK8TxvLHz2CxYPTsU+42xjkD4cA+2LapyvZbE9QDQ6qE0aU7ls7dYN1qgpcs5PKESXzVdxGnjx9C5BXXkJCwFyhdkaFMvYiIiIjrOd+XvfZCPq/3fJRL9i1n1cGzsP49gcTccE0VqSKNGzdmypQp9OrVi9DQ0FKl/UOGDKnWfW/dupXw8HCaNm0KQJ8+fVi9ejWRkZXvf2Duiyfzy0WY7bpidDqj+I7E3RAYhBEYVPYDGwaBxVJlFRjmv39jfrsEv0uuIS+iVek7w5pAQYFjbGvw8fttmEl7scc8Cd4+WO6LxghsCK07YALmzi0YEeVUlDgfn5GGfeGrsPY3AIr+d43DHfsODMLw8gE/f0cPkJxDmBv+gqwMjGtuxXLVEOypyZh//Yppt5c9gvbofZom/PMH5l+/gocHePtgXDIIo1EoZmGhI4HRubvj/1IOo+d5mIvmYJ8bgzHgMmjYCPLz4XCOYymQaR75B3Dk8qnw9MJy9c2n9hwogSFVyDAM6H42ljN6Yf7xM83eeg/7K5NYet5Sbuj2EKtSegNq8CkiIiLiDpyJi5djfclc8gmPtJ+Dd+M8Jv07ijk7bmW0NRubTVNFqkpeXh69ezveD6emVuEyigpITU0lNLT4RD40NJQtW7Ycs11cXBxxcXEATJ06lbCwsFL3F+zZQeoL4ziUlQFA4N2j8LtsMHh6krz5H7w6n0HwUY8p6UBwKN452QQdZ5uKyN+2ifS3ZmBp0ozgYWMotHiUuv9w246kA0EFh/E+zr7MggJSXxyHmZ9P8POv49Wmg+P2kBAO+Pnjuz+ehieI9eB7s8nd8BcNbrkPr05nYGRnkp+wm/ztm7EfTMO+LwEz7zBmdqbjJN6/AZZW7Wj4wFg8I1sDkHPWeWSsjKNR9sGiGMqNOT+f9EnR5K37AyMgEOx2zEPZmMu/xLfvRZgF+Rw+sI+gu0fhGxaGp6fnMcex6Ps4YSYZs6ZQsPjtsndmGI5/GGAcuX6SDF9/wu4ecdx4KkIJDKlyhsWCcXZ/Qnv2wfxlGR3+bxHvBz8IXbpzyRvj+H5TAyIimhdl8vUiKCIiIlIzSlbB2myBWC/9kW/6zad9wC7o1pv+Mx9n5RZP3oiwHPMeTe/ZTs3w4cNdtu+y+hyU1dwxKiqKqKioouvJycmln8fTF848h0YDLyV90hgy35xB1rb/MPpchP3AfvKvuumYx5RkD2xE7v5E8o9+3j9XYh5Mw3LhVSf+v6QcwP58tCMZMOwxCi0ex8bp5QtA+rb/sDQuu6kogP2z9zG3bMTywGMcDAyGEs9jtmxHzqZ/yDvO/8c8lI395+8wzh1I7gX/IxcICwsjIzkZBl5ZtN2RFEDxfoF0KNqf2dxRQZL2+89YAoOP+/+3f/QW5ro/MIbcizHwCgxPT8y98Zjff0ruim/BMDCuuJGs9qeRlZxMWFhY+cckuAk8GYsl9xBkORIs+Po5KjoqUAlSWcnlxNO8efnH6GhKYEi1MTw9MfpdQtC5AzF//Jrsjz7ky/NvY9ZFt+Dvcd8xDT71oigiIiJSPZyJC5vN8XXulAzmnjUN+4wVWIyW3Ll6Osu/7Htka00VqSp5eXl4e3tX2XYnKzQ0lJQSozRTUlIIDj7+iXJZDC8vjDtH4BMWhmXs89i//wzzx68xf/wa/BtgdD/BRJVGIY6+CyWY/63H/voLANgbBGI5Z0C5DzftduyvTYH8PCxjJmM0K6ffRmhjx9fjTCIx8/Mxl30O3c/GOOv8Y/+vrdphLvvi+Ms6/v0b8vIwzr2g3P1UhBHaBEKbYG5eDxf9r/yYt/+H+c1ijP6XYYm6uvjxzSIxbhuOed1Qx3U//8rt39cffCv3GFdRE0+pdoaXN5aoqwmIeZV/gy/jgbYL+b7/DVzc5AfAkf232QI1oURERESkijnfXzkbqft7HGL6BUu4Zctd9An9g+c3jeDiFYvocXt3jUOtBvfdd1+Fths2bFi1xtGuXTv27t1LUlISBQUFrFq1il69ep3ScxodT8cy7FGMfpdA6w5YHnoSo0HA8R/TKPSYHhj2uE8goKHjk/9/1x5/p3//Dru2Ytw8rPzkBWB4+zieM+04DUP/+QOyMrAMuLzs+0OaQEE+ZJf/u2BuWgc+vtC20/HjrgCjQ1fYfvwmr+Yvy8DbG+OGu8p+Dj//SicvahtVYEiNMRoEcua0YZhb+5H55Bzm9RrDN/sGcPlbdxDZrTvR0Zlq7ikiIiJShYonwJk82Gsdy/vPpJlfEh/HX8HU/0awZns+r0d4ER19AFDioqrl5eXxyiuvnHC7wsLqG9cJ4OHhwd13383kyZOx2+1ccMEFtGhRfgKgogyLB8YdD1f8AY1CIDsTM+8whrcPZuZBWLca4+JBmFs3Yh6nYgLAvuJrCG2CcXb/E+8rMAgzO6Pcu81/1zqSJl3PLHuDho0cXzPSoZzGpOZ//0CH0zCqYjxu42bw24+YBfkYnl7H7stux1zzC5zRC8PX79T3V0spgSE1zmjflW97vc6B1I/oV7CArDG/cX+bYbSKvJkCs/hHUi+gIiIiIpXn/EDIWX3x/bxdfHjuDM4J+Yt1B7uwotNT3DKnFaMjGlNyuYhUvcGDB1dou0GDBlVvIEDPnj3p2bNnte/nuJo0c3xN2A1tOjimcdjtGL3Oh7QUzG3/lvtQ83AubPoHY+AVGB4e5W5XJCDQ0dehvOfbtM6RfCjnuYyGjRwDODLS4egpJ4B5+DDsi8fo1feY+05KSJhj0kdaimOCydH2J0BGOsYZp1Y5U9spgSEuMXpMDnAlb0wdyD0BsTzpOYMnL/6EQR88TXR0mJp7ioiIiFRSyT4XNlsgHQK2M7vnc1wevpzkw8F8Fz6G+768gT0f7Ac0VaQm3HDDDa4Owa0YnbtjGgbm+j8x2nSADWscSz1atoOwpvDHT5iFhWUnFTb9AwX5GN0qeAIf0BCS9pZ5l5mZAfsSMPpeXP7jj1RgmBnplDl7Y98eMM0TjlmtKCOksSNhkppcZgLD3OFYXmK06Vgl+6ut1ANDXOr+cQ2YnjuVe/+cRuKWHJb2uZsFl76Fv8chYmLUF0NERETkeEq+V3IuF4n0S2TPxEf5fsBNnB/6O8Y1t9Dvh6VcNrE/j1gPFW2vxIXUNCOwIbTpiPnPH5i5OZh/r8Y44yxHk8ywJmC3Q3rZfSvMnVvAsEC7zhXbV0BDyCpnCcn+eMc2zY+TfCi5hKSseBL3OC4c7zkqI8TReNRMPVD2/Tu2OJa8hEdUzf5qKSUwxOWix2Rx+q1nsaT7fN7Yfiu3tFjC131v4Yc3d6i5p4iIiEgZjm7OGRMTSJh3CnMvfpcfBgwm5+eVvL7tVvr+8AmWq25i2Cg7oKSFuJ5x+lmwcwvm959BTjbGkSaaRlhTxwblVU0k7ISmzRwNOiviSAKjrBGy5v4j+2h6nPGd/g3A07PcBAaJu8HD09G7oioEhzm+lpPAMPdsh5ZtMSwVWD5ThymBIW4hOjqTkWMLmLRpNJ6PPo+HUcjS8+/F2uF1rKPSlMQQERER4djEBUCXVoFYPl/ITwMHcXvLj/go/n+803EhD31/A3ePcJzsKHEh7sI44ywwTcyl7ziqCZwTPJpFAmDu3VP2A+N3ltmLolwBDaGwEHIOHXvf/gTw8IDQpuXHaRgQ2Kj8CowDeyGsadU08AQMHx9H34605LI32J+IER5ZJfuqzdQDQ9yK1ZqJ7bNzeePn85jQdRqPdJjLmptXseTviUAIoBdgERERqb9KJi7atQjhgbYLGN52AY28M/g08WIGzRvMuLN6k/BNIqD3TeKGWrYrqo4wTuvpSBQABIWAf4CjwedRzMO5kLwfo8+FFd9PQEPH16wMRzVFyedLSoTQpiduBtqwkWNSSlkyD0JQo4rHUxH+AWUmXMxDWY7/R5PjVIzUE0pgiFspfpEN5Kbo+7nvrL683ncSXwXcSoNed9Pilrv0QiwiIiL1ytFTRV6d7sU9rd/lwbZv08Q3hR0NziHEehMPn9ePa8M1VcQdpaens27dOnbu3MmhQ4fw9/endevWdOvWjUaNGrk6vBplWCwYN96D+WYsRs8+xbcbBkS0xEzcdeyDkvc7JnRU4gTeCGzoaIqZlVE8/cTpwH5oUsakj6P5+sHhnLLvy0jHiGhd4XgqxNcPM7eM/R1Z8mIc/f+oh5TAELfkfJH+cl8UvT/rRky3CfR/51XePOsfXnvhEQ55hiiRISIiInXa0VNFfC253NvmHR5ou5AmPins8e/B9d9PZcl6Rxm8poq4n/j4eBYtWsSGDRto27YtERERNGrUiJycHFasWMFbb73FaaedxpAhQ4iMrD/LAyznXYB5Wg8MZ6PMI4yIVpi/rzj2AamOZRVGSFjFd9LgSLVSdhm/DxnpGC1an/g5vH3K74GRkQ5dGlU8norw9YPcMiowkhwVVarAUAJD3Fjxi68ft9te5q7WixjX6WXO3HAvj/7zFDH00Au0iIiI1DklExfR0Zn4eeSwee6bmF8vdpStd+7G9fOnsGR9OH1jAgElLtzVq6++ytVXX83IkSPx8vI65v6CggJWr17Na6+9xuTJk10QoescnbwAHJM4DmVjHj7s6AlxhJl2oPj+ivJzLBsxD2WXGoNqmqbj96is/R/N2xvyDh9zs5mfD4eyK/YcleHjBwdTj7092TH6mMbl9+yoL5TAELfmfCG22QKZuHIAF3Q6m7hbxvGmjxWj2RVMf2kUj4w99o+KiIiISG3iTFpAcZ8LP48cJvT9np8HLsT8MJWfks9m+pb7WTqnCX1xJC6UtHBvzz///HHv9/T05LzzzuO8886roYjcXGCQ42tmOviUOFlPTXaMUA0Kqfhz+fk7vuZkl779UBYUFjgadJ6A4e2DWUYCg8x0x9eGQRWPpwIMP3/M/Qll7O8g+PlXfAJLHaYpJFIrWK2OJSWbs9rRfu67vLH9VszlX9Lv99HMmZKtKSUiIiJSK5U1DtXPI4fsJUtYOfBqnuwyg38zOrCo5UwGLnmSfne1A1RtURu9+OKLZd4+bdq0Go7EfRnOpMLRjTNTk6FRyImbbpZ0pALjmKaYGUeeuyLVEz6+ZVZgOOMrs4rkVPj6QVk9MDIPFid36jklMKRWiI52fMJgtWayY08ykzaNxjJ8PG0a7Obufffx9ztrXR2iiIiISIWU/OCl5FSRTq0akrv0Y1YN/B9PdJnJhoxOLGr5MretnsUtT7UGlLiozTZs2FCp2+slZ0Igo3QCw0xLhsr0vwDH8g8Pz2MrMI70tKhQ8sHbp+wEhrMvRgWqOCqlnASGqQRGES0hkVqlZAfuyKsG08r/bF7t8Rjze43m18duZlXje7COKWPWs4iIiIibcPa2cL6n6dq6AaM7zObu1u8T5JXJDwfO48KYa7m9/4UkLE1kr7+SFrXZokWLAEe/C+dlp/3799O4cSX6OtR1R5ZkmJnppfpWcDANmrWo1FMZhuFYRnJ0BYZz+UdFEgJHEhimaRaPewXMrCO/k4ENKxXTCfn4OfZnL8SwlKg2yUiHxhWYmlIPKIEhtU7JTx5stkgG//Imz3SN4Tbeo3DLf7z2wngefMzbhRGKiIiIHKtkn4uIiOaEeqcyrtPL3NHqQwI8D7E1oC/Bo67ljvMHkNAuUVNF6oiUlBQA7HZ70WWnsLAwbrzxRleE5Z4CnD0wjlpCkpWBcTLJAj9/OFQ6gWE6qycqWoFhmlCQD14lzi+ck0Kcy1Sqiq/fkefPAf+A4tszD2K07VS1+6qllMCQWqlkk6vte1KIiBjP7RNa0W32a5y7/x7Mf8cw8YdLePBBFwcqIiIi9V7JPhc2WyDhvvsZ1uYdbmm5GG9LPp5nn0+U7SGWbXI0HVTiom4ZPnw4AB07diQqKsrF0bg3w8fHUYVQYgmJabc7RqE2OJkERgPMo5eQZGaAYUBABXroefs6vh7OLZ3AcFZ1+PpXPqbjKSOBYdrtkJVR9ctVain1wJBazdncE6DFdbfyv1VvsyUxhPyYZzj43nxMu10NPkVERKTGHd3nIjo6k5Z+8eyZ+gQ/DRjEPe0/wL9/Xy5c8SGW+8dy5X3FExeUuKg7Dh4sPhE/XvIiPT29BqKpJRoGFfeYAEeywG6HwJN4T+/nf2wPjJxs8PUvvUSjPN5HkhZH98HIPQSenhhljMY9JSUTGE6Hshz//yqeeFJbKYEhtVrJ5p4JCYlsyWpLp7em4nlOP8Z2eh37yxOZO9PVUYqIiEh9UdZUkXYNdrLo8tn8MOA6cpcvY1H8NbzZ6h0sQ0dx7TDHWEglLeqmCRMmMHfuXDZv3ozdbi91n91uZ/PmzcydO5eJEye6KEI35B9QumoiK8PxNeAkKjD8GxzbA+NQNvj5VezxzrGlRycwcnKqvvoCxxhVoHQCw7mc5mT+/3WQlpBInVDyRT+yXTtgGre1/Jhn7dP4pM+dvPn8RNJ8WurNgYiIiFQLZ38LZ7UFwEWdsxnR7mW+7x/HYbs383cNgahryT4trGgbvTep21588UXi4uKYPXs2SUlJNGnSBD8/P3JyckhKSiI8PJyLL76YoUOHujpU9+HrB4dLnMAfSWAYJ7GExChjCYmZc6jCvSsMHx9MKLsCw6/qExj4lFWB4YjfaBBQxgPqHyUwpE6xWjOLunrbbNezObMds3uOZdDmh3j4r+eJ4Qy9URAREZEqV3Ic6hVdU5l71jQuabqCzPwGvLptKCM/uYCJXbqSEJcI6L1IfeHp6clll13GZZddRnJyMrt37+bQoUM0aNCAVq1aERIS4uoQ3Y+PL6SnFl93Tvw4mQqEsqaQVCb5UE4FhplzqHi5R1VyxlUyZmcCpqobhtZSWkIidcrRn2YsWd+Uq1YuJKhNY97q/Qijz3ibmGnKXoqIiMipcy4XcX79ef4WFvZ+mM/OH8rZwWv5JWwoQbPm8OLmhzAaNipqzin1U1hYGD179qRv37706NFDyYtyGD6+jqaZR5hFS0hOpgeGYwmJaS8svq0SFRjFTTyPrsDIqZ4KjMDiMbJOpjOZUR37q4VUgSF11pNPFhITE0hCbiCd5r2NrduzXPnhfCLjk5hujqTQ4q1qDBEREam0kstFbLYA+oX9xofnzuOckL84cDiEnxrfz/3v3Mrm3Y6165oqIk47d+7k33//JTMzE9M0i24fMmSIC6NyMz6+pZeQZJ9CD4ySPSWcY0lzsjGaNKvY48vtgXEIgoIrH8+JBAY5JqQcTC+xL1VglKQEhtRZTz1VSHJy8RuGiIip7Hkglus/+T/I30LvuTOIjnZxkCIiIlIrOJMW4FguYrVmcHGTH5l3w2zYsZm9OU0wbrqf84fewbY9qQwLLW7YqMSFAMTFxbFgwQK6devG2rVrOfPMM1m3bh29evVydWju5agKDLIywcPj5JZs+B856c85VCKBUZkKDEcCw8w7jFHy9txDGOERlY/nBAwPD0eiJiOt+EZVYJSiJSRS5zl7YoBBi2FW7vvzJbK37OGz8+/gnUkJGrMqIiIi5Tp6qohtmj9XhX/H+pvGMK9XNLs3ZPPYP0/Q78elWC66iuGP5ANKWsixPvnkE8aPH8/YsWPx9vZm7NixWK1WPDwqMM6zPvHxg9zc4gqVvMPg44thGMd/XBkMZ6KiZCPPnFPvgUFu9UwhASAoGLPkGNlDh8CwOBI7ogSG1A/OUatWaybf7L+AQb/MJ8/uxbXbR7H9/Z+VxBAREZFSjk5ceBoFjDx7DVf+eQ+v9nwcL0s+j6ydwJIeC5j26zk8/IjjBEeJCylPRkYGXbp0AcAwDOx2Oz169ODPP/90cWRuxtcXTDvk5zmu5x0uTiRUljNRcWSSh5mfDwX5FU9gOJMGJZe0wJFGoNXQxBOgYSM4WLICwzH29WQSOHWRlpBIvVGy7HPZJn9Ob/02fz/0CDM9nsJoNRjbtOFYxxw6wbOIiIhIfeBMXHhb8hh77q/8MGABLf0T2JjRgQfXTGX26k4sbtGChDGJgBIXcmIhISFFo1SbNWvGH3/8QWBgIJ6eOiUrxadE40xvn+KvJ8OvxBISKNFPooIJDN9jx5qaBQWQl1dtFRhGw2DM/YnFN1RmyUs9oN8WqXesVseSkrT8QNrOmMuzXadxxzcfcXrSfl62jyPPI0BvQkREROqhiRM9ePBBR/WFryWXtI+/4KcBb9PML4m/0k/jrw7DufaN0/kiMgLDkqipIlIp11xzDQkJCTRp0oTrr78em81GQUEBQ4cOdXVo7sXnSNLgcA4ENsSsggoMMyfb0cOiqJ9ExRIChoeHY98lx5o6+3P4VtOSjqBGcDAN0zQxDAMzJ1v9L0pQAkPqnZLJCUdzz3HcOb4x/Re+wUWZDzJg0Qyio71cGKGIiIjUJGeDzkmTPIidEsTtrT5i5QXv0tgnlV9SerKq46OM/nIACR/uBTRVRE7OwIEDiy736NGD+fPnU1BQgG91nQjXUoavLyYUJwpOJYHhf1QFRq7jq1GZ5R9HRrEWcS5t8fQ+uZhOJLCRY5mLc1RrZXp21APqgSH1VnFzT2hx6z3c8vurpOzK4tM+Q/nwuU3qiyEiIlLHlexzYWZnMar9HP699krGd36ZDRmdsIydwpDf3uDGpztitWYVPU6JCzkZjz76aKnrnp6e+Pr6Mm7cOBdF5KacS0icyzZOqQLjSALjSA+MoqSIT2USGP7FjwdHcgHAq5oSGA2OTEs5dORvTk62lpCUoASG1Gslm3v+lnoW/1v1Ngk54VyzexwHF39KzLQAV4coIiIiVajkBxQ2WyCvvlDAY51e4eBD9xHdcTbfbD+Lq1Yu4I7VL2N0PE3VFlJl9u3bd8xtpmmyf/9+F0TjxoqWkJx6BYbh5QWeXsW9L/KOVE9UJvng54+ZW6ICw5nAqKbeJYZz3Gv2kb85OYcwVIFRREtIpN4r2dzzt63QoeU8Nj3+GM8YsRih65j+0qM8MvbwCZ5FRERE3JlzmYjN5vj6+tRcnu4Sw63/LcanbR6f743ilW13c8V94Xz1WSYxMUpcSNV45ZVXACgoKCi67HTgwAFatGhRJfv55Zdf+PDDD0lISOD555+nXbt2RfctWbKEZcuWYbFYuOuuuzjzzDOrZJ/VoqiJpzOBkYtxshUYULwMA6Dg5BIYpZeQOBIYhlc1LTlvcCTJmn2kAuNwrkaolqAEhsgRzuaehwr9aTVpBo90mMNo5nBe2gFee+EZDnmG6E2MiIhILeVMXET6JfLWJQu4I/JTPFrZWZJ4ObO2DWXQsFA2rQ3k+2hNFZGq1bRp0zIvG4ZBp06dOO+886pkPy1atGDMmDG88cYbpW6Pj49n1apV2Gw20tLSmDhxIjNmzMBicdNi/CM9QczDOY7Gm6eyhARK9bAwnRUY3pVMYKSlFF+v9iUkzmUvRxIYBQXVt69aSAkMkSOObe45jOiYULq+Mp1eyfdz1RexREc3cl2AIiIiUinOqouYmEDaNNjFe5e/xYoBX1JoWvgw4X+8tu1Oft1qEB3RnOjoRPz9VaYtVe+GG24AoEOHDtVa+RAZGVnm7atXr6ZPnz54eXnRpEkTwsPD2bp1Kx07dqy2WE6Js99D1pH35qeawPBv4JjkAUXVE3hWvHrC8GuAWUYFRmWeo1L8HRUYZnamI4FTkF9ty1VqI30nRI5Ssrln5NXX0yWwG/N6Wfno3Pv4/Jmx/NfwIn0qIyIi4sZKLhf5Ys5+RrR7meX94zhs9+atXTdiRl3LA2/6Mj6iOVA8DvWppwpJTnZt7FK3rF+/vuiyp6dnqeslnX766dUWQ2pqKh06dCi6HhISQmpqarXt75QFNHT0wThwpGfIKVdglFgCkn9kWXhlns/3qCUkRctQqnsJSTamaTqmnlRXsqQWUgJDpAwlExQ2W0f+t/JtXu/5GJd7TGLbigRizNuIHpN9nGcQERGRmlYycWG9bg1zesZwafiP4OPHrI13MmLphTzXpSsJcY5lImrQKdXttddeO+E2hmEc0xujPBMnTiQ9Pf2Y22+66SZ69+5d5mNM06zQcwPExcURFxcHwNSpUwkLCytzO09Pz3LvqwopES2wpCXTKCSEpLw8/IODCTjJWNIbBVOwZydhYWFke3uTBYSGh2NpULGJg1lhYWQfziE0OBjDw4PDfv6kA43CGuNVxn5P9XtjmiZJnl74mQUENGpEEuAf1Kjc//+JVPexqqxTjUcJDJFylGzuuW5HLq0jX2X7lGd5mPngs56XX3yGEY/aXRyliIhI/eZMWoDjNbv5oX9Y0Gsq9smrOCekIbbN9zN/1xAO5gcxsmFxtQUocSHVb9asWVX6fE899VSlHxMaGkpKSnEPh9TUVEJCQsrcNioqiqioqKLryeWUJIWFhZV7X1WwBzemYPc2kvfuBeBQQSG5JxmL3eKJmZVBcnIy9jRH5UlKRhZGTsWa9NuP5H+S4/dgNAjATHV8L9OzsjHK2G+VfG8aBJCTfIDc/Uf+/3n55f7/T6S6j1VllRVP8+bNK/x4N+3cIuI+nM09800vWoybxBPrH6Ng7RouXjOCuVMySo1jExERkZrhfP212QIxTZMPntvMonPu58bdIzk9aBNTNj1Mnx8+xXL1zWzcma1qC3ELBQUF/Pvvv6xatQqA3NxccnNzq3WfvXr1YtWqVeTn55OUlMTevXtp3759te7zlDVtDilJxeNPq6iJJwX5YBiV6ynh7MlxJBYz/yQmmVSWfwBmdlb199uohZTAEDmB6OhMoqMzsVozSUjYy8LdN+A9dgKhPqncte8Bfl+w0dUhioiI1AslPzRwJi4uavITf9zwBNftGUNr/3ie2TCG85d/it+g68gqCChKWChxIa62e/duRo0axezZs4uWlmzcuLFCy0wq4vfff+eBBx5g8+bNTJ06lcmTJwOO6STnnXceVquVyZMnc88997jvBBKnphFgt2N/ZZLj+ik28eRwLmZhoaOfhJcXhmFU+OGGr5/jgnOsa0ENJBUaBEB2ZnECo7r6bdRCWkIiUkGlmntedBkt/U5nbq9o3u49ku+feJALJ12MzdZQb5BERESqiXMUasy0BlwRHsc/N73J/F6b2X2oOeP+Gc9HCVexY08y8yN8iY524yaFUi/NmTOHIUOG0L9/f+666y4AunbtyuzZs6vk+c8++2zOPvvsMu8bPHgwgwcPrpL91ASjdXtMgF1bHTecahNPcFRQ5OWBZyUrJ3wcY13JzXF8LRqjWo2n0oFBsD+xZpIltYybp95E3IuzEsNqzWR3TiTXrnqTuKR+DEx6hXcvf5NXpp/CH1cREREpk/MDBA+jgBG9/+LKP+7l9Z7j8LEcZvTfz7K0xwJe+vVc8uyOExMtFxF3FB8fT79+/Urd5uvrS15enosicmPhpUfCGqdSMVK0BOSQIyFQ2aUfPkdVYBQt66i+JSRGUDBkpJVIliiB4aQKDJFKKtkobPPug0RGvMjuV2O4+fNFdGiwAzMjGtuclnrTJCIicoqciYuXY31J/OB7fug/n1YNEvg3oz3D10zh9dWd+bhFCxLGaKqIuL/GjRuzfft22rVrV3Tb1q1bCQ8Pd2FU7umYhIXHyZ+2Gn7+jmqOnOwjI1lPsgLj6CUk1ZlUCGwEWZlFVR+GEhhFlMAQOUnON0kmFloMH8uV4T2wdX+G+OGP8u2fMUAEoDdRIiIilVFyqsis6V5sXfA2Nw78hOZ++1mb3pU2Dw3ltG69+bxFJIZFU0Wk9hgyZAhTp07l4osvpqCggCVLlvDdd98xbNgwV4fmliwTXoFDWVBQAJ3OOPknKlpCcggzP7/yyzF8HQkM83AOBhRXYJxCUuWEgoIdX9OOTOvQEpIiWkIicpKcb5IczT0TeePPrgz+ZR7NIwr5+Lx7GN3/S2w2TSgRERGpiFJTRXIP8cP4L1h5wTWY773Bnpzm3Pr7K1y9agG276MwLBZVW0itc9ZZZ/H444+TkZFB165dOXDgAGPGjKF79+6uDs0tGc1bYrTvitG5W6Wabh7DP8DxNSfb0cSzsv00vJ09MJwVGHng6Xlqy1pOwAhqBICZkuS4QQmMIqrAEDlFzjdOMTGBbMhoTs8P3mV2z0fp/cZLjOmYQsy0W8Gw6A2WiIhIGZwVFzZbINYH9zKy/VxShr1HP++D/JhxLsO3TuH3tJ5YrZn0JktTRaRWa9u2LW3btnV1GPXLkQoM81B20RSSSjlSgUGeswdGQfUnFAIbOb6mHHB8rc6RrbWMEhgiVaT4jZQ3N8W+zqTTXmBk+zf5dsVWRq2dCATqzZaIiMhRbLZA/ArSGdtxFunDP2BMx2y+3d+fl7fezd8HTychIZGICCUspHZatGhRhbYbMmRINUdSjzU4UhGdlXmSFRhHts8t0QOjuhMYR5aQqALjWFpCIlKFoqMziY7OJN/04tav7+KpDWO5pNnPLO1zF9bbN5eaXy8iIlJfOV8PX596mCc7x3L7ppt5qN1b/HigD5f+9H9sHDCBLzeGFG1fss+FSG2SkpJS9G/v3r0sXbqU9evXs2/fPtavX8/SpUvZu3evq8Os2/wbOCaJpB44UoFRuWoGw+LhSGIUTSGp/HNUWlCwYx9//+64rgRGEVVgiFQDqzUTm60hC3YNYWtWG17t8TgpYx/l17+mEkNnQJ8kiYhI/eNcLrLo1SyCv1nI7ZGf4Nm6kKWJlzFr211cMyyUf9cGEhetqSJSNwwfPrzo8vTp0xk1ahTnnntu0W2//fYbv/zyiytCqzcMw4CwJphJe+FQNkbjZpV/Eh9fOOyYCOKowKje02jDyxvjyhsxl77juEFTSIqoAkOkGjgrMazWTD5YF8nVqxYQ3Koh7/R+mNE93sNmC3B1iCIiIjWiZPXh4tfTsL81kxUDB3Fn2yX4XXAhA3/8mCFfDWNbduui104nJS6kLvnrr784++yzS93Wu3dv/vrrLxdFVI+ENoF//oDk/SeXDPD1K6rAOKlJJifB6HBa8RVVYBRRAkOkGkVHZxITE8iuQ5F0XbCQ5Qf6YL73BlNPf57Yab5aUiIiInVWqakiCbvZED2D5QOuJ2fFTyzcdQNnf/cJLcZNYndOJKBqC6n7wsPD+frrr0vd9s033xAeHu6iiOoPIySs6LK5c0vln8DHF7NkD4yaaKoZGFR8WRUYRbSERKSalXwjdq8thuiOrzOy/Zv8/ssOhq15EQg8ZjsREZHaqtRUkSH/8FqPGdif/Z7IAn/e2HUbc3bcSnJeKFZrJtHRiUWJDr0OSl33wAMPMG3aND799FNCQkJITU3Fw8OD6OhoV4dW9+UcKrpotOtS+ccfvYSkJhIKDZXAKIsSGCI1wPmmzGYLZPTyQTzQqx2zzpnAZ+ffQcsbxhF5Xl+9cRMRkTrBZgskLHcrr/eMxT5hOf3CGjBjyz3M23kz6fmNjpkqotc/qS/atGnDjBkz2LJlC2lpaTRq1IiOHTviWc39FASMy6/HzMrAcuuD0Ci08k/g41u6iWdNLOnwa1B8WUtIimgJiUgNslodS0o+23spVyx7EwsmWc+M48rwOGJiArWkREREaiXn69fbk/fxRs8x3LbzPs4PXc30Lfdx/vLPMP93Gxt2Fn8CqqkiUl95enrSpUsX+vTpQ9euXZW8qCFGRCs8HpmA0Tgc42SqGXx8IddZgVFQIxURhqXEqbqHfk6c9J0QqUGlP2WK4KpX3uaNnmN5rec4pn92L7Fb7i9jOxEREffkXC7y3dx4uv44h1ubruBgaCC2zffz5s6buXckHLQFEq2pIiJSixk+fpjOBEYNNfEstX/DqNH9uTMlMERcoHhJSXPOfv8Z/u9/C3ikw1w6B27lioceJCamid7ciYiI23ImLuLm7eYRr5f5ou8f4B+AcfEt9HnofjbtymB6RHHiwkmvbSJSK/n5l6jAyMOoiSaeUiYlMERcyGrNxDYzBNs/T/FvRkee7mpjw53xfPhnDNAQ0Js9ERFxD86kBcCyebu4Zs9rfH7+b6T9GcScHQ/y1q4hZH3kHBOeoWoLEak7/Pwh9xCmaR6pwNBptKvoOy/iQiXf1EVH9+em7q15d+A4Pjv/DsKuHEvkRZfpjZ+IiLhUqakig1az/eUP+fT81aSmBfHCjod4a+eNZBc20FQREam7fP2hsNDRwLOgoMaWkFgefhJz9/Ya2VdtoSaeIm4gOtrR3POn5HPp9+VCUg6HkPfSMwxt9T4x0wLU3FNERGpUydcdmy0Qc+tG3un9EPapjxKYuoXnN42gz/LPmLXtLoaNsgOaKiIidZifn+NrziFHEqOGlpAY3c/G8r+bamRftYUqMETcRPEbvkZcM3M+07s/zXOnTWNR3H88uWEcEKg3hSIiUiNsNsdrznsTd/B/Z0/C/sLvdGkYwqR/R7Fw9/XkFPodGYfqr9cmEan7nCNNcw5BQc038ZRiqsAQcSPR0ZlER2eSVRDAZUutTN9yH0NafMaic4ZhvWenKjFERKRaOV9nzgn5kxXXPseNu0fRMXAbz/37COcv/5SAawexdXda0fbqcyEi9YHh6++4kKsEhqupAkPEDVmtmdhig7BtGcbGjA7Edn+GfSPG8MOal4A2gN4siohI1YmJCQTT5JcF//Hzyjf48Nw1JOWGMmGjlXd3D2bbnlTmRvgSHZ0KKHEhIvWMcwlJdhbY7eClBIarqAJDxA05KzGs1kzmrenMNavm06SFF4vOGcbosz/GZlMlhoiInBpntYVpmvy24F8esT/MonMf4Ly2O3lmwxjC573OcysHkmv3BYqTFqDEhYjUM0cqMMzMdMd1JTBcRgkMETfmbO65Oas9Z/zfu/yW2hPz7VeY0PVFYqc5MsFaViIiIpXhfN2w2QIwN/zFnlFP8N45w9m7LpmnNoylw6LPmL/rJmwvhwGqthARwe/IEpLMDMdXLSFxGS0hEXFzxW8YLdwZO4NxnV5hWNt3+GXVVs5o8wKpeWruKSIiJ1Y8DjUA66U/sOS8xdin/4OR05Qntj3GovhryLN7H0lY5GmqiIiIU1ECI93xVRUYLqMEhkgt4HzzaLMFMvz7G3m4d0dm9J7E2htv4bJPpgOBRW9MRUREymKzBdA661eWnjce+4z1NPUNZ/z6cXwQfzV5du8jU0Wa67VERORovo7KZ/Orjx3XVYHhMlpCIlKLOMt4lyRewZXL55GYYGFJn7t5oNc/2GyOJIaWlIiIiFNMTCCmabJ4wno+7XMng+Ifp7FPCuP+Gc+AH5bQ5PpL2bEnuWj7kn0uRETEwTg6YaEEhssogSFSizg/FbNaM/n63yAiX32Rfw52YVaPJxjX6WWso9PV4FNERIoSF/+8s4a1Q8ZxTfx4QrwPMnbdkwz8cTHhN1xMvulV6nUFtFxERKRcTSOKLhpe3i4MpH5TAkOkFipaUjKnJTf/9hoLd13H8HYLiLv2JRp6ZqoSQ0SkHio5VWT9u39inzSaeb2i6dY+DWPoSAb++DG2384uSlxoqoiISMVZHn+p+IoqMFxGPTBEajHnG84UHubxDzsy4bSX+PT8O7l3dgxbs9uU2kZEROomZw+kWFsDrBd8w/43P2TuWdvY8W8LXt76LEsSL6NwQfFbPlVbiIicBD+/4sueOo12FX3nRWo55xvQCNt1vLAwiMCJL7Ls0ju45+dJREd3UHNPEZE6qlTiYsBXfN13MfbXtpKR1ZLJWyfwyd5LKTQ9sVozi8ZygxIXInXVwoUL+fPPP/H09KRp06YMHz6cBg0aALBkyRKWLVuGxWLhrrvu4swzz3RtsLWQYfEovqIlJC6jBIZIHWG1ZmL79BzeW/k2c84ay7xe0bww4AFe3np30TZ60yoiUndMt/nTMWMZ3/Z7F/vs7XhZWjFy7UQ+TbwEOx7HTBXRa4BI3datWzduueUWPDw8eOedd1iyZAm33XYb8fHxrFq1CpvNRlpaGhMnTmTGjBlYLOomcNI0RtVl9FMrUkdERzs+Ybt5eAPOfOc5FidczpiOr/Naz8ewPpSk5p4iInVATEwgpr2Qz55Zzbf9buaKxIlYMHn4r0lErfiAtjf1ZU/C/qLtNVVEpP7o3r07Hh6OKoGOHTuSmpoKwOrVq+nTpw9eXl40adKE8PBwtm7d6spQaz9PVWC4iiowROoYR5lwGLa/n2N9Riee6DyTjUN309IvhpiYoKJtRESk9oiJCcQ6Op0t7/3CptVzuSJwO5tpy0N/Pc8Xey/iEesh7DYPTRUREQCWLVtGnz59AEhNTaVDhw5F94WEhBQlN44WFxdHXFwcAFOnTiUsLKzM7Tw9Pcu9r6bVZCzO9HBwkyZ41oLvDdS9eJTAEKmDit+wXsMdb7dn1pnj+fz8Oxi+YAo/p5xz1DYiIuKOnD0uTHshW95bhf3g68zqsQeatcD436NcPOh64hP2ERHhcczfdP2NF6mbJk6cSHp6+jG333TTTfTu3RuAxYsX4+HhQb9+/QDHZKKKioqKIioqquh6cnJymduFhYWVe19Nc0UsaZmZGF7u/72B2hFP8+bNK/x4JTBE6qji5p7nEvLSS2wc+SL/d+4IJmwYhdU6kJiYhnqDKyLihpyJi+k2f0b3+4LkBR8yq8cuNm9uy/QtU/hi30WY84pXAavaQqT+eOqpp457/w8//MCff/7J008/jWEYAISGhpKSklK0TWpqKiEhIdUaZ52nJp4uox4YInWc1ZqJbWFHBq2az5d7B/BM11g+vGI2s6Z7ERMTWNSVXkREXMv593i6zR/77yv4rt9NmHOmkZLiwfA1U7j4p/f5fN/FjLZmk5CQqMSFiJSydu1aPvnkEx577DF8fHyKbu/VqxerVq0iPz+fpKQk9u7dS/v27V0YaR3gqSaerqIKDJE6rviNbSBXjR7Fixd0YkzH12kfsJMed40h8oxuevMrIuIGnFNFvuv3DuacHdhpy4NrpvLlvgsxsWiqiIgc17x58ygoKGDixIkAdOjQgfvvv58WLVpw3nnnYbVasVgs3HPPPZpAcqqUwHAZJTBE6glHc88gZm69l38zOjC9+9Pse2QsvYJfICamXdE2IiJSc5zNOb+Y8Cff9X+HDok7+a9E4mK0NZs3ovcREeFYH6ypIiJSnpdffrnc+wYPHszgwYNrMJq6ybj/UcxvFoOnTqNdRak3kXokOjoTqzWTM27ryaBf5pNV0ID3z3mA/R9+i82m5SQiIjXFOQ5163sr+e/W0VyeOAm7aeHBNVO55Kf36XTLOZhYNFVERMSNWHr3xeNJW1F/Eal5bpPA+PTTT7nxxhvJyMhwdSgidVp0dCbR0ZlsyWpL+7lTWZl8NlPOmMLzpz+PdVSqkhgiItWoZOLC/swIXunxJB062rEMe5RLfnqfN/7sWpS4KFltocSFiIiImywhSU5O5p9//nGr+bQidZ3VmonttWZM/yOWRzu9yvB2C/htyDYWrnkBcCQx9IZZROTUxcQEMmUKRYmL5O1v8EqP3fy3pS3Tt0zlyy8vxJyrqSIiIiIn4hYVGAsWLODWW29VKY5IDXJWYjxiPcSIZdfx0F/P0zt8E5+ffwfWwX9is6kSQ0TkVJScKpKz4luSR4zilR5PkpTixQNHlop8sS9KU0VEREQqyOUJjD/++IOQkBBat27t6lBE6iVHc89APtt7CZd+P59805OciY9zQ+SnGrMqIlJJJf9mTrf5Y//tR+L630hG7LNFiYtLf3qPL48kLgBNFREREamgGllCMnHiRNLT04+5/aabbmLJkiU8+eSTFXqeuLg44uLiAJg6dapLl5x4enpqyYub0zGquClTwN+/EGjHVS+8zas9xhPT7Tnmf72Jif9a8ff356mnCqtl3zpO7k/HyP3pGLkPm82b5yd58t6Y5cT1n4c5dxcFZjseWDOVr46MQz18OA8fH2+mTPHB379Qx86N6HfJ/ekYidRvhmmapqt2vnv3bp577jl8fHwASElJITg4mClTptCoUaMTPj4xMbGaIyxfWFgYycnJLtu/nJiO0cmJiGhO/O49vHbJxwxr+w6/pvSkz1uPYJvTolo+HdRxcn86Ru5Px8j1nONQHzpnA6Paz6F9wC42ZbZj+pb7+GrfhTzxpMmDD+4nIqI5CQmJxMQEquLCDel3yf258hg1b97cJfsVkWIuXULSsmVL5s6dy6xZs5g1axahoaG88MILFUpeiEj1sFozsU1vxORNjzBy7UTObLSBPcPH8t3c+KLSaC0rERFxiIkJxDbNn+3v/8zmWx/h5TOfJN/uxbA1L3DpT+8x58hUEWcVm/pciEhdMG7cOFeHUMSdYgHFcyKnGo9bTCEREfdR8k11dHR3Lu0yjy+vfoSPve/F7/zhwAXYbPrkUETqL2f1hGkvZPv7PzPzstfhzASIaMWwz15gzupOzLVYiIhwfE7kSFo4qk31t1NEROTkubyJZ0mzZs2iYcOGrg5DRChu7rk+ozM9Pvg//ko/DXNeLK9HvY+HUQCoEkNE6peSU0Xsv/5A8oiRzDzzKf7d7MewNS/Qas6HfLXvImyxQYCqLURERKqaKjBEpFzFnfFzaRX5Kk92ns59bf6ProFbOL31FNLyA0ttJyJSFzkrLqbb/Bl9/md83/8jzHm72Z/Rnse3vsDX+y7AxHJMwkJ/G0WkroqKinJ1CEXcKRZQPCdyqvG4tInnqVITTzkeHaOq5Ww8Z1/5PTnzXsO3SSMuXTqduE0Bp9SMTsfJ/ekYuT8do+rVMrIJr939KR22vEO7gN38m9Ge6VvvK0pcJCQkFv2NLI+OUe2g4+T+1MRTpH5zqyUkIuK+nJ8sxv46iBt+fYO98bC0z1080Gs9NlsgMTGBWlIiInVGTEwgZmEhXzz9K3H9buSyvc9z2O7D/X++yGU//x9dbjmb+IR9Rds7/0aKiIhI9VECQ0QqpGRJ9EX3tCJi1kv8c7ALs3qM5/FOM7GOTsdmUwJDRGo3Z+Jix/s/seW2UaUSF5f//C5db+2NiaXob6L6XIiIiNQc9cAQkUpzNPhsycu/vcYzXWN4sN3bLBu8hSCvSUVVGHozLyK1RdFUkSOJC3vabGacmQCRrbH8bxyX/28w8Qn7iIiwHPO3TX/rRKQ+Wbt2LfPnz8dut3PRRRcxaNCgGo/hoYcewtfXF4vFgoeHB1OnTiUrK4vY2FgOHDhA48aNGT16NAEBAdWy/1dffZU1a9YQFBRETEwMwHH3v2TJEpYtW4bFYuGuu+7izDPPrNZYPvjgA77//vui4Rg333wzPXv2rPZYAJKTk5k1axbp6ekYhkFUVBRXXHFFlX5/lMAQkZPifNOeykM89mEnJp72Ap/1uZN735jG5qz2pbYREXFHzsTFjFg/Rvf5lNSFHzLjzHg2bunA9C0v8s2XAzHfKC5WVbWFiNRndrudefPm8eSTTxIaGsrjjz9Or169iIyMrPFYnnnmmVLTK5cuXcoZZ5zBoEGDWLp0KUuXLuW2226rln0PHDiQyy67jFmzZp1w//Hx8axatQqbzUZaWhoTJ05kxowZWCxVsxCirFgArrzySq6++upSt1V3LAAeHh7cfvvttG3blpycHMaNG0e3bt344Ycfquz7oyUkInLSoqMziY7O5L091+I7/nn8PHKJu3gol4d/XzSGVUTE3Tj/Ns2I9cP+y3K+738j5pux7E3x474/X+Lyn9/l6/0XMtqaTUJCohIXIiLA1q1bCQ8Pp2nTpnh6etKnTx9Wr17t6rAAWL16NQMGDABgwIAB1RpX165dj6nuKG//q1evpk+fPnh5edGkSRPCw8PZunVrtcZSnuqOBSA4OJi2bdsC4OfnR0REBKmpqVX6/VEFhoicMqs1E9vS3ry7ciGze45lds/HiL3gbmI3P1C0jd74i4i7mBHrR+eD3/J9/3cx39xNbmEH7vvzJb7dP6DUVBGNQxURKZaamkpoaGjR9dDQULZs2eKSWCZPngzAxRdfTFRUFAcPHiQ4OBhwnERnZGTUaDzl7T81NZUOHToUbRcSEkJqamq1x/PNN9+wYsUK2rZtyx133EFAQECNx5KUlMSOHTto3759lX5/lMAQkVNW/OY+kF4jJ/Du/95mZPs3Oa3hZi5+cDiRHTrqBEBEXComJhDrI+l8OeF3vu//Lm337mZjicTFaGs2b0bvIyLCMSZRU0VEREozTfOY2wzDqPE4Jk6cSEhICAcPHmTSpEluPd62rO9Zdbvkkku4/vrrAVi0aBFvv/02w4cPr9FYcnNziYmJYejQofj7+5e73cnEpCUkIlJloqMzsc0M4bF/nmT8+nH0D/uFLfeMo32DHRqzKiIu4ZwqsmvRj2y7fSSX7Z1CTqFv0VKR027tpakiIiIVEBoaSkpKStH1lJSUok/Va1JISAgAQUFB9O7dm61btxIUFERaWhoAaWlppfpj1ITy9n/09yw1NbUo/urSqFEjLBYLFouFiy66iG3bttVoLAUFBcTExNCvXz/OOeccoGq/P0pgiEiVio7OxGrNosn1l3Lzb6/T0CuLT/oM5Z931mCzKYkhIjWjZOLC/vRwYrs/S5tOnlgefJwrfn6HN9d0KkpclKy2UOJCRKRs7dq1Y+/evSQlJVFQUMCqVavo1atXjcaQm5tLTk5O0eV169bRsmVLevXqxY8//gjAjz/+SO/evWs0rvL236tXL1atWkV+fj5JSUns3buX9u3bV2sszkQBwO+//06LFi1qLBbTNHn99deJiIjgqquuKrq9Kr8/humKupYqkpiY6LJ9h4WFkZyc7LL9y4npGLleRERz4v/5m7+GxdC90UZsm+9nzPIrsMUGFZ0k6Di5Px0j96dj5FByHOqo8/7m6V5zCM5PYENGR2K33M93+/tjHvnsJiEhsWj7mqBjVDvoOLk/Vx4jd16qUFPWrFnDggULsNvtXHDBBQwePLhG979//36mTZsGQGFhIX379mXw4MFkZmYSGxtLcnIyYWFhWK3WahujOn36dDZu3EhmZiZBQUHceOON9O7du9z9L168mOXLl2OxWBg6dCg9evSo1lg2bNjAzp07MQyDxo0bc//99xdVylRnLACbNm3i6aefpmXLlkXLi26++WY6dOhQZd8fJTBOkl7g3J+Okes5qy1mTffi+dOnckPk53yzbwCj103g/pGOPz1TpvjoOLk5/S65v/p+jJyJiJaRTdj5wfukvvNhmYkLqzWzaEJSTVda1PdjVFvoOLk/JTBE6jc18RSRalOyuecQ6308dX5nJpxh45MGd9Hp1keJPKs3U6bkuTRGEan9ZsT6Mfq8pSzrvxhz/h4SDnZk7NZppRIXNlugpoqIiIjUcuqBISLVLjo6E5utIfN33cSQVa8S4p1G2rixXND4ZyZO9FBfDBGpNGePiy+fXsny/tdjzp9BdoEf9/45jStWvsu3+wcSn7AP4Jg+FyIiIlI7KYEhIjXCeQJx3tBOXLVyIbsPRTC/12jS3luAzRagJIaIVIgzcbF70Y9sv30El+59gawC/6LExem3nkVCwt6i7TVVREREpO5QAkNEakx0tGP9eUJuM7ovnMQniZfyWKdXea3HOKwPJSmJISLlKpm4sD/1ILbuz9K6sxeWh8Zzxcp3mb+mI2BoHKqIiEgdph4YIlLjrNZMbK+EYft7IuszOjO+80w2Dt3Jx3/GAEGATjpEpPRUkd2LfiB12xxs3RNZv7UjsVvG8N2XA2C2UbS9xqGKiIjUbarAEJEa56zEsFqzeGXTjdyxeiadw5P4rM8dWC9bgc2mSgyR+sxZjTUj1g/7yu9JHfEQtu4TiE8O4J4/HEtFvksaiNWaRUJCoqotRERE6gklMETEZaKjM5k40YOfks+l7+cL2ZvbhPzYCQxr8zYx09QXQ6S+OTpxsbz/9ZhvzSgzcQFoqoiIiEg9oyUkIuJSTz1VyKFDh4AgBs2YT0y3CTzRZSafLN/E2HVPA4E6ORGpJ2bE+tE1/WuW938X8614Mgs6cc8fMXyX1B8wSEhIJCKiuf4miIiI1FOqwBARl3MuKckp9OPqz0YwZdPDXBPxHYvPuxvrnVsBVI0hUkfFxARiFhTw1VM/80P/67hk3wtkFjTgnj9iuHLlO5xxW09NFRERERFACQwRcSNWayY2W0Ne2z6UO36fTgv/RJKjx3BDt4SivhhKZIjUDc7ExZ4PlrPjjhFcsu9FMgoCSiUuNFVEREREStISEhFxGyVPTKKj23B+h7dZcfMo3vd9iAnrH8E0B2CzaUmJSG1VNFXkSOLCnvIGMd32Qcu2WP73BFdeOYiEhL1ERBjH/J7r915ERERUgSEibsd5orLzUEu6vPUOXyf255muNj68YjY+llxiYgJViSFSizh/X2fG+mFfGUfqyIeJ6fYc/2wN4p4/Ymj5+iIir7wWcIxEVbWFiIiIlEUVGCLitqxWR2+MmGlPsf6zzozp+DodAndw36svsTc3vGg7neSIuCdnxcXMWD9Gn7uE5f0/xnwrgT0HO2PdMoa4pH6AUfy7fiTRod9pERH3kJiYWObtYWFhJCcn13A0ZXOnWMC94nGnWKD8eJo3b17h51AFhoi4raIRiWOymbn1XiwPP0kb/938ds2tnB28hujozKLeGCLifmbE+vHVUytZ3v86zLdmklEQyN1/2Lhy5ULikvoXNefUOFQRERGpCCUwRKRWsFozscVdxNWrFrB1byPeO+dBHu/zM2BqSYmIG4mJCcQsLOTLp1exrP8NXLLvhRLNORfS7bYeZU4VERERETkRLSERkVqh+JPZUL4tfIWOP7/IpNNe5PSGm3hq+mMctvsctZ2I1KSYmECso9PZ/v7PbPljDpcG7GZDYUfu/XMa3+4fgNWaxXc2TRUREXGFV199lTVr1hAUFERMTIyrwxE5aarAEJFaJTo6kxGPmtzzZwzGVUO4qcWnbHnwLpr6JJVaQy8i1c/5+2baC9n63krsz4xg5plP0a6TgeXBcVzx8zvMX9MR5zjUktUWSlyIiNScgQMHMn78eJfGYNrt2FfGYf/iA8ycQy6NRWovVWCISK002ppN7NYH2PBnL2ILnuGL82/nmtNf4I+04iZAOkESqR7O5pyxtgaM7v8VyW8t4pUeu/hvS1umb5nKl19eiDmn+DMSVVuIiLhW165dSUpKcmkM5tJ3ML/6yHH59xVYxkzGCAxyaUxS+6gCQ0Rqpehox9SC027tRcNJL5Jd6M/ivg9wS4vFau4pUk2cFRextgaYf67km343Y77xIqkpFh7663ku+el9vtgXxWhrNgkJiUpciIgIAGZaCuY3izHOuwDL6OfgwD7sc6Zh2gtdHZrUMqrAEJFazbFs5DTmrVzAzDOfZOoZz7Pg0sF4GWM1klGkitlsAbTL/Imv+i7E/voWPI1WjFg7ic8SL8aOBwkJiURENNdUERGRWiouLo64uDgApk6dSlhYWJnbeXp6lntfWbK+/4Rs0yTkjuF4hkeQk5dLxqzn8Vv+OQFD7jmlmCsbS3Vzp3jcKRaomniUwBCRWs9xkhTIOvM5Nn75Dg+1e4tOAdt44JUXOJAXVmIbEamsmJhArNYMlk5Yx5fnj+H0hM3s8GjBqLXP8UnipTxiPcSe6P1ERDiWb2mqiIhI7RUVFUVUVFTR9eTk5DK3CwsLK/e+shT+8iO060K6pw8kJ2N2PwfjvAvIXvQmOU1bYJze86Rjrmws1c2d4nGnWKD8eJo3b17G1mXTEhIRqROiozOxjjnEC/89jHH/o5zW8D/+vP4WugetV3NPkZMQExOIaZr8/c5a1g4Zx9UJTxHgeQjr389y4YoPaXNTP+x4aKqIiIgcl5mdCbu3YXTpXnSbYRgYtz4IzVtif/V57F9+iJnqPifa4r5UgSEidYrVmknsisv58pcezD1rDB+dex+PnPM4H8ZfXbSNTrBEyuesuPhr4d/Yc2cxv9cWCGuKcdVILhxyC7vik/gowvOY3yP9XomIuK/p06ezceNGMjMzeeCBB7jxxhu58MILa2bnWzaCaZZKYAAYPr5Yoidjnz8dc8lCzCULoUNXLPePxWgUWjOxSa2jBIaI1CnFJ1HhtB72Aj/ePpOYbs/RLehf7hp1E5GtWulES+Qozqkipmmy+u0NJOycxYLe/7JnYzNe3vokHyVcRcHbxW8ZVG0hIlK7PPLIIy7bt5m423GhRetj7jMCG+Ix8mnMffGYf67C/Opj7K9MxvL4SxgeHjUbqNQKWkIiInVSdHQmttkR3LF6Jq9vv507W33I70Mm0NTnADExgVpSIkLxVBGbLRBz8wZ2j3qKd89+mMK0NMb9M56BPy7m/fhBjBydo6kiIiJycvbGQ3AYhq9/uZsY4ZFYrrwRy9ARsGsr5opvajBAqU2UwBCROis6OpNRo3PIveJuhq+ZQpeGW/ji/Nv4af42bDYlMaR+Kvlzb7MFYu7cwtu9R2B/6XG80xJ4asNYBv64mP/bM5gRo3MBNFVEREROmrkvHsIjKrbxWedDm46YP36FaZrVG5jUSkpgiEidFh2dSXR0Jp/vu5jASS+RVdiAj/sO485Wi7BaM5TEkHrHZnP8zL/1fDKze47FPjma7kEbmfzvSPr+8AkLdg1hxx5HI7Xo6ExNFRERkZNmmibsi8do1qJC2xuGgdHnIkjYBfE7qzc4qZWUwBCResFqzcT2/mn8b+XbfJt4PhNPe4kPr5jNq9O9tKRE6gXnz3gr/z18dMWr3Lr9HvqG/o5t8/2c/8MnNLj2WrbtSS3aXstFRETklKWnQm4OhEdW+CFGt14AmFs2VFdUUoupiaeI1AvFJ2GBXDbaygsDuzK282w6BW6l2x1jiDyzp07UpE5yJi7eezWbpt++yfL+n5FvejJ7++28tv0ONuw8xPSIAKKjEwElLkREpArt3QOA0aziCQyCwyAwCHZtq6agpDZTBYaI1CvR0ZnYYoN4edu93Pl7LC3895I6Zgz9w35RJYbUGSV/jt9+JY/RETZWDLiWm9t8zsLd19HANpuHl11Pen4jgFLLRJS4EBGRqmLui3dcqEwFhmFAq3aYu7ZWU1RSmymBISL1jnNdf4/bu3PVyoUk5jbl7d4jOfzJh8TaGiiJIbVWqaki2Zn8+tj7/DzwGvK/+5IliZdz3ndLeGbjo9jmtQJUbSEiItVsbzz4NYCg4Eo9zGjVHvbuwcw7XE2BSW2lBIaI1EvO5p67DkVy+tuT+STxUh7r9Cqzez6Kdfh+ACUypNaYONEDOJK4yD3EyPZzSX/ofs5KeY9vkwZw0U8f8Og/TzNkeABWa6amioiISI0w9+6B8AhHVUUlGK3ag90Oe3ZUU2RSW6kHhojUa1ZrJrZXGmP7eyJ/HzyNJztPZ/PdOxi25iW2ZDUnOjqTmJhAneiJW5s0yYPDWd7c1+YdDtz/FmM6pvPNvgFM2/Ig/2W2JyEhkYgIJSxERKSGJe7G6H525R/Xqh0A5u5tGO06V3FQUpupAkNE6jVnJYbVmsXElQO46bfXaN8sne8vvpPLw78HisdOirgTZ4VQ7DRfbm/5ITeuu42nukxnQ0Yn/rfyLf4d+CzLNvkXba9xqCIiUpPMjHTIPAgRLSv/4KJGnuqDIaUpgSEiQvEn07+n9aT30vf4c197Zvd8jJcv/BgLhWrwKW7D+XM43ebPqLPXMOivoUw+/QV2H4rghl9ns6bfVP4+eHrRz7T6XIiIiEsk7gbAaN6q0g81DANatsXUEhI5ipaQiIiU4OgPUMD0l6ax8bs3GN5uAWcE/cvDLz9P2pGJDToRlJpWchmTzRaANWoZX/f7PzoHboOW7bjj4xm881drfouMYPGRcahO+nkVERFXMBN2OS5EVD6BAWBEtsb8/jPMwkIMD48qjExqM1VgiIiU4DzZe2TsYZ7Y8DjGnSPoHbyWv4fczBkN/y3qiSFSE0pOFQH4v4m7+Ojc+7C/MhEfSx7D10yh1evv8cOB8zEMQ9UWIiLiPhJ2QUAgNGx0co+PbA0FBbA/oSqjklpOCQwRkXJYrZnE/jaY63+dS3yCBx+fdw+jzv4Tmy1QS0qkWh2duOgQsJ0v/xfDkN0jaN1gD+PXj+OiFR/S8ZZziU/Yx5NPFgJKXIiIiPswE3dD81aVnkDiZES2djxP/M6qC0pqPS0hEREpR/HJYAta3v8SK+54GVv3CfQKXsdtI28lsnVrnTBKtXAmLpr57uP/LpvDt/2+4FCBHy/+9yDzdt7C1t1pvBPhWfTz99RThSQnuzJiERGRYqZpQsIujPMuOPknCY8EDw+I3wln96+y2KR2UwWGiMgJREdnYnsjkttXz+SVrXdxS8sl/H3rE7Tyj1clhlQZ589RTEwgQV4H8f3yTX4cMJhBzb/mzZ038W6Xd3l8xeXkFPoBmioiIiJuLPUA5ObASTTwdDI8vSA8UhUYUooSGCIiFRAdncmo0TkUXHUHQ1dPp4XfXj4//zY2vPtH0ZISkZNRcrlI2xahHFq6mJ8HXsP9bd7h870X807Ht5n4r5WHHnO8ZKvPhYiIuDtz2yYAjNbtT+l5jMjWkLDz1AOSOkMJDBGRCoqOziQ6OpNlB/oSEhPDjuyWzDlrLE92jsU6Kk1JDKmUkokL025ncPMv2HLLIMZ3fpk/0rrj+ewMrOsmcP+4BqWqLZS4EBERt7dlI/j4QYu2p/Y8ka0hNRkzO6tKwpLaTz0wREQqyWrNxLagPa/8OpcnOk/n/rbv8vuQf/i/tVMAx0mpTjKlLKXHoTp+VvqG/sbfN81k+pn/8c+Ozkze9ByrUnqTEJmoagsREakya9euZf78+djtdi666CIGDRpUbfsyt2yAdp1OefypEdkGExx9MDqdXhWhSS2nCgwRkUpyVmI8/Mhh7v3uNh7663l6NdvCV+ffivWyFUUnpiJOR08ViYkJpHPgFrqveIL/O+chGnllMGLtJL4/exYfrotQ4kJERKqU3W5n3rx5jB8/ntjYWFauXEl8fHy17MtM3u9o4Nm1x6k/mSaRyFGUwBAROUnR0ZnExATy2d5LGPjtQg7khVIQ+yyjO8zGNs1fS0qkSMmkVs+2njT7zsbXfW+hZ/A/TPz3EZae+RafJF5G9JhsQIkLERGpWlu3biU8PJymTZvi6elJnz59WL16daWfxywowEzcTcG+BMz0FMxD2cdus/Y3AIwzzznluAkKhoCG6oMhRbSERETkFBSfaIZy9fQFTD59KqM7zOHnlX8z+u8JQKBORusp53IRZyKrU6uGjO04i3vb/B8W7MzZcSsPfno5czp2ImFsIoUW/ZyIiEj1SE1NJTQ0tOh6aGgoW7ZsqfwTpadgf+ZhUkreFhgE7bpg9DgHIzgM88sPoU1HjKbNTzluwzAgsjXm7u2Vepz9h68wf/4Oo/MZGIPvwLCc2lIWcR9KYIiInKLingbNGfLlfVjP7cG0Xi/wdeDNNL5kJDExFyiJUY84Exc2WyA2WyCeRgF3tlrEI+3nEOqTzqaGF9J13E1MPrMnwxuoz4WISH21aNGiCm3n4eHB9ddff0r7Mk3zmNsMwzjmtri4OOLi4gCYOnUqYWFhpe63N/Anb8xELIUFFOTmYh7KpiB+J3lrf8e+9ldMwAgMImT0M3ge9diTldW9F9kfvkWItxeWhkHH3O/p6VkqzsNrfiX93dewBIdi/2YJAS1a43/lDVUSS0UcHY8ruVMsUDXxKIEhIlJFrNZMbLaGfBB/DWvSuvFKj/GEznyOgB1bmG4fSqHFWyepdVjJxIXjOJvEf/ox9sVvQ1IidDqDq96cyVcbGwEahyoiUt8tXbqUfv36nXC7X3/99ZQTGKGhoaSkFNdNpKSkEBwcfMx2UVFRREVFFV1PTk4+9sk6dScsLIyMkvcNuQ/L7m2QcgA6nU66XyCU9diTYLbrCnY7ySu+w3LuwGPuDwsLK4rTzDyIfeZEiGgFT8TAzOfI/OhtsnsPwLDUTPeEkvG4mjvFAuXH07x5xat1lMAQEakihZN1ZQAAKzBJREFUJU9Eo6N9aNviLba+OIV7l70Hub8xYOFLREd7uTBCqWplTRUBuPq0Ayw+90nsr69jc2Zbnt80nbffaEOU0RBQ4kJERMDLy4vhw4efcLuT6VVxtHbt2rF3716SkpIICQlh1apVjBw58pSf18kwDGjV3vGvqrVqD41CMX9ZDmUkMJxM08T+9izIzsTyyLMYXt4Y51+EOS8WdmyGdp2rPjapcWriKSJSxZx9Dw7bfWgx5lnu/sNG6tYUvjz/Nr56aiUx0wJcHaKcorKmigAsfj2N13uOZUmfe2jhn8h34WPo/G4MZ97eHcMwlLQQEZEib775ZoW2mzNnzinvy8PDg7vvvpvJkyczevRozjvvPFq0aHHKz1sTDIsF44IrYONfmDs2l7ud+fN3sPZXjGvvwIhs43hst7PBYsFc90dNhSvVTBUYIiLVoOSJqs3Wn0t/eo8ZZz7FJZ4vcGjNWl62j2DEo3YXRiiVdXS1hfNyRERzQr1Tea7rC9zacjF5dm9+CRvK0HfvYevCNEDVFiIicixPz4qdilV0uxPp2bMnPXv2rJLnqmnGwMsxf/gK+5xpWKInY4Q2LnW/mbgbc9Fc6NIdI+rq4sf5N3A0Ad3xXw1HLNVFCQwRkWpS8mR3zfYCWkS8yq43Xuaqxe/hmbaWdyY9w21PRro4SqkoZ9LCWW0REdEcX0su97Z5lwfbvo2fRy5eF1zMOU+N5u8dh3kwrMDFEYuIiDt7+eWXy2ykebSHH364BqJxb4Z/AJb7x2KfOQH7Mw9h9DgP2ncB/wZkpadg/+x98PbBMnTUMb0ujDYdMX9fgWm311gfDKk+OoIiItXManWc9NrxoMX9j3DDr2+wZ7eF63eM4OfHF2MWFBSdFIv7KXlsIiKaY7MFYqGQGyM/YcXAa3m002sE9j6di39ahOW24dzxsDegqgsRETm+8PBwmjZtStOmTfH392f16tXY7XZCQkKw2+2sXr0af39/V4fpNoz2XbA8GYtx1vmY//yB+c6rmG+8RPYHb0LrDlieiMEIKWPCRZtOkHMI9ifWfNBS5VSBISJSzUo398wkIqI7rebE8NH1CxlseQv7lBV88e7zREfrTYo7KdnnorhBp8mAsF8Y33kmXRpuZU3a6TR/yorR8TSuyQ0EMpW4EBGRCrnhhuLRnpMnT2bcuHF06dKl6LZNmzbx8ccfuyI0t2U0aYZx1yhMeyGkp8KhbEI7dSE1O6f8x0S2xgTYuxuaqfK1tlMFhohIDSm5/CCyQ0ce+Xsi9/35Ege2pPPF+bdh/+IDbNOUxHClktUWJftcJCQkclrDTeyOvpeFZ4/E3yMH4/5HWXHuTIyOpwGquBARkZO3efNmOnToUOq29u3bs3lz+U0r6zPD4oER0hgjsjUWvwbH37ipY0SnuTe+BiKT6qYEhohIDYqOzsRqzSQhwVHG+M3+C4ha8QFf77sAc+k7DPxtJPOfTznBs0hVK2+qSEREcyJ89/LhFa/xVd/byPlvB8aQe/mk53wsvfsSPSbLZTGLiEjd0aZNG9577z3y8vIAyMvL4/3336d169auDawOMHz9ICQM9iW4OhSpAlpCIiJSw0p+Uu9MZERETGHQhB60eHk23ffczw/j72bApMswLB6uCrNecE4WOXqqCEBDz0webvcmQ1svwtPTZHXwzZzzzP8w/AMYHZXryrBFRKSOGT58ODNnzuTOO+8kICCArKws2rVrx8iRI10dWt0QHom5d4+ro5AqoASGiIiLWK2OE+aiZSXX3EiY90VMPn0qlxfMJmHUT3zb7DHuHh/syjDrtOLeFsWJCz+PHO5u/T7D2iykkU8mH+25ghvfGcy5R41sExERqSpNmjRh0qRJJCcnk5aWRnBwMGFhZTSklJNihEdirvwe0zQrNPlF3JeWkIiIuIjzE/+Sy0qS80K58tNHePivSTSz7GbI1vuxf7sEs7DQxdHWHc6E0dHLRnwsh7mn9f+x5oqreazTLP5M74blyVjio8YcM29eRESkOoSFhdG+ffuiSSR2u93VIdUN4ZFwOMfR+FNqNVVgiIi4gVINPiMjgAh+/awXU06fzMUfzufAJ8tpMuJejM7dXBtoLVZyuUjJygtPo4AhkZ8wvsccAguSoUM3LIMe55+lvbmkpaaKiIhI9UtNTWXevHn8+++/ZGdnl7pv0aJFLoqq7jCaRTomkeyLh+BQV4cjp0AVGCIibsJZieFcWpJ0OIx7/rRx75/TOJSehz3mSeyvv4CZcsDFkdYeR08VcUpISCR+zx6ui/ic7XcMYsoZUwhsFcZHLWLwiJ6E0a6zEhciIlJj3njjDTw9PXn66afx9fXlhRdeoFevXtx3332uDq1uCHeMT1UfjNpPCQwRETcSHZ1ZanQnGMxf05GLVnyAcfUt5K9Zjf3pB7F/vggzP8+1wbqx400VMbBz31kb+e8WK7HdnwU/f5ZGTsHy2AsMebpDeU8pIiJSbTZv3syDDz5I69atMQyD1q1b8+CDD/L555+7OrS6ISgY/PwdFRhSqymBISLihqzWzFIn3YftvrR4wEq/7z9mi8+5mJ+8i/3phzDX/oppmi6O1n0cnbgAx/fPZgvE0yjg2uZf8mXf23i95zg6dCzg8+bPYnnCxnXPnKamXiIi4jIWiwUPD8fksQYNGpCRkYGPjw+pqerZUBUMw3BMItEo1VpPPTBERNxQyeUL0dGZREQ0JyEhkYiI5nS2jeHGbjfx3qAp2Gc9D6f1wHLTfRhHyiPrs7KmijT0zOSWlou5q9UimvklsSWzDcbdozHO6c81GlMrIiJuoH379vz111+cffbZdO/endjYWLy9vWnXrp2rQ6szjPAIzH/XuToMOUVKYIiIuLGSzT2dJ+SOr82Z2fBNuhcuZcD2+difHYFx4VUYlw7GCKpfY1edzTmPrr6I9EvkntbvcXu7pXjbc1iZ3JuIxx7gi28G0Pm87OM9pYiISI0aMWJEUUXl0KFD+eyzz8jJyeHKK690cWR1SHgk/LIcM+cQhp+/q6ORk6QEhoiImytZjVGywmBabDBwF0+OvJBhTV/FjPsUc/mXGOdfhHHJtRhNmrkg2ppT3lSRM4PWc3/bd7ii2TIK7QbeZ/fDuPgaVn94Jv3PyCT6DCUvRETEfdjtdubPn8+wYcMA8Pb25rrrrnNxVHWP0azFkUkkCdBGPa9qK/XAEBGpBY5t7ln89cHHvIhNeRLLxNcwzrsAc2Uc9icfxP7GS5i7t7ss5upSVp+L+N17iP98MR+dey+fnj+UfmG/4nHpIBZ0eA/LPVaMlu00VURERNySxWJh3bp16sVU3cIjADDVyLNWUwWGiEgtcnRzz5JfoRPwONYpNzuqMX74GnP1T3B6TyyXXQ8da2+jSme1BRQnLgzsXHv6Piad9jYH7ooj1CedZr7NMIbcyztrrmXk9YUMc2XQIiIiFXTllVfywQcfcOONN+LpqVO0atE4HAwL7Fcjz9pMvx0iIrXI8Zp7Oq9HR4diXH8X5uU3YP7wJeb3n2GfNh7adsJy2XXQ/WwMS+0owCu5TCQ6OpOYaQF0D1pPg6++5dcL4mjml0ROoQ+7G/Wh8e3nsfj7C7FGHWJkVKGrQxcREamwr7/+mvT0dL744gsaNmxY6r7XXnvNRVHVLYanF4Q1cSwhkVpLCQwRkVqo/OaexUssoqPBuPJGzIuvwVz5PeY3i7G/+jyER2Kc3R/jjLOgZTu3TmbYbIFYrRl0CtzK9Au+4dpm3/LI+QkcLvTihwN9+KvdMKzzL2bL7nQArD0OuTZgERGRkzBixIhqe+5ffvmFDz/8kISEBJ5//vn6PdkkPBJzf6Kro5BToASGiEgtVV5zz5KXo6MzMbx9MC64ArP/pZh//Iy57HPMz97D/PT/oGEjjNPPciQzuvbA8G9Qo/+HssTEBGIdlsDimHiiO3zCppuX812/7RTYPViZ0puZ2+4hdnln7uvQkYTPEtncUNUWIiJSu3Xt2rXanrtFixaMGTOGN954o9r2UVsYTZtj/rcO02536w9wpHxKYIj8f3v3Hh1Vebh7/NmTCYEAuU4CJBCQWytSEUvEUigK0WPVqvW0GqS2an+lchEr2h+u9oe9RCV4RDxCAFvQIrb1Cl56bNUQEVtqJSCVi3KTWyVckpCQEHKd9/yRJg1hAoEM8+5kvp+1WMxlz97PzLuYxX5m73cD7VjTeSEaTiVpekpJ07kjnIgIOSPHSiPHyhwrkdnysbQpX2bjhzJrV0kREdKAC+VcPELO0BFSSp+QzJlhamqk/Z8rb+leXXnBJt24/nP579uvmyT5Bzpad/QS/Wzzg+p702WaMtOr21NT9GT0Ac2YUXbSZwAAQHuyatUqjR8//ozL5eXlady4cee8nd69e5/zazuc3hdI1dVSwb+k1DTbaXAOKDAAoAM4/eSe9Zru6DsxcXK+dqX0tStl6uqkz7fJbFons2m9zCu/k3nld1JispxBQ1SWmiZ/p85y4hKkuEQpLkGKiZdzFpOMGX+ddOKEVFEunTguc2CftHuHzO7tqt2zW15ToyskmeoEfVY2TP1vHyen/2BdeNVobd9Xqu+mpuiLmQca32vz9wMAQHvz3HPPady4cTLGnHa55cuXt6nAwH84gy+SkWS2b5ZDgdEuUWAAQAfQusk9A+/wOxER0qAhcgYNkW7+gUxxoczmfJlP8mW2bVbFug+kujqd9N8rx5G6xzYWGk5couTxSBXHZU4cl04cl05USBX/vl154tQNR3WW+g7Ub3dOUO9vDNCvn0vXoark+uf+q+mCpY2lRfP3CgBAe1VZWanMzMwzLhcZGXnGZbKyslRSUnLK45mZmUpPT291ptzcXOXm5kqSsrOz5fP5Ai7n9XpbfC7UziaLSUxUYWKyIndvU9x3v289z/nmpixScPJQYABAB9K6yT1PXwA4CT4537hG+sY1kqTEhAQV7tklHS2WSoplSovqb5cWyxwtkooLZT7fJslIXbrW/4nuKiX3qp9To/GxaL39vk/XfNuj8bcN06qtUXpiXpye2NZd2nZyhhkzyk56L5QWAICOZsGCBa1arjWnc86aNautcSRJGRkZysjIaLxfWFgYcDmfz9fic6F2tlnM0EtVtTZPR/bukdO1m/U855Obskgt50lJSQmwdGAUGADQwbR2cs+m82OcjuPxyImJl2Lipb4DdC6zYjRs679+kKIvsg5oW1mKevc5dbkZM/5zydTm7wUAgI4kKSnJdoSw5Hzjf8m8/xeZ1W/Jue6WgMuYrRtl/vG+FN1Nzjf/t5yYuNCGRIsoMACgAzrT5J4Nz4WqIGhanjSfm0PSKdkAAEBwfPTRR3rmmWd07NgxZWdnq1+/fvr5z39uO5Y1TtoA6dKvyfzpBfmTU+SM+Locx5Hx+6Xd2+X/fy9Jm/Kl6G7183bt2S7PTx+V44mwHR2iwACADq01k3u29kiMs9Ww3obtNy0xGrI1zM/RcF/iqAsAAILpsssu02WXXWY7hqt4vjdV/qd+JfObx2Se6yLFJkhlJfVzd3WJlvOdO+SMu17m7+/JLM+Rdn4qDR5qOzZEgQEAHVqgyT2bano/WMVBQ3HxxBPdTyktpFNPE6G4AAAAoeR0j5FnZrZM/t+k3dul0qNS1+7SoAvlXJwuJ/rfc2OMGC3z+0UyWz6WQ4HhCh7bAQAA51/TcuCLLw7oiy8ONN5ueL7hSIlz0fS1TUuLlrbFVUUAAIBNjjdSnsuvkGfCJHnuninP7VPkufzK/5QXUv1k5P2/LLPlY4tJ0RRHYABAGGkoDs50WklrS4WmR1uc7goozbdPaQEAgHTs2DGtWbNGGzZs0N69e1VRUaHo6Gj17dtXl1xyia644grFxMTYjhnWnEEXyrzzmkxNjZxWXNIW5xcFBgCEkeZX92g4raTpJJqtmUyzeXEhBZ6ck8uhAgAQ2B/+8Ad98MEHGj58uMaNG6fU1FR16dJFJ06c0BdffKGtW7dq5syZGj16tCZOnGg7bthy0gbI1NVJB/ZKfQfajhP2KDAAIEyd7oiJMxUOZ3tVEYoLAABOFh8fr6eeekqRAX7Vv+CCCzR69GhVV1crLy/PQjo0+ndpYfbukkOBYR1zYABAGGuYj6LpnBSSGifgbDq3RcPt011VpGGei4b7AAAgsG9+85uN5UVJSUnAZSoqKnTNNdeEMBVO4eshdYmW/rXbdhLIJQXGn//8Z917772aMWOGnn/+edtxACCs3H9/WeMREoEm3MzIqD9Y74knuis1NSVgcdGwbKD7AADg9O69996Aj993330hToLmHMeRklNkDhXYjgK54BSSzZs3Kz8/X48//rgiIyNVWlpqOxIAhKUZM858SklDsdF83oymKC4AADg7xphTHquoqJDH44rfm8Oek9xLZs8O2zEgFxQY77zzjm688cbGw6diY2MtJwKA8NS0eGiYzHPGjLLG00kkrioCAEAwTZ48WZJUXV3deLtBeXm5vv71r9uIheaSe0n5f5OprZHj5UokNlkvMAoKCvTZZ5/phRdeUGRkpG6//XYNHBh4cpTc3Fzl5uZKkrKzs+Xz+UIZ9SRer9fq9nFmjFH7wDi5z+zZUkZGV0mnznMxZoxfubm1ysqKkM/n0+zZkhQV+pA4Cf+O3I8xah8YJ/fraGN0zz33yBij2bNn65577jnpubi4OKWknDpRNixI7iUZv1R4WOqZajtNWAtJgZGVlRVwYprMzEz5/X6Vl5frkUce0a5duzRv3jwtWLCg/lyjZjIyMpSRkdF4v7Cw8HzGPi2fz2d1+zgzxqh9YJzc6YUX/nOp1Kani7zwwkEVFkqTJ0sMm3vw78j9GKP2gXFyP5tjdD7KhCFDhkiSli5dqqgofhBwKye5l4wkHTlIgWFZSAqMWbNmtfjcO++8o5EjR8pxHA0cOFAej0dlZWWKiYkJRTQAQAuanxbCVUUAAAiet956S1dddZUiIyNbLC9qamr07rvv6tprrw1xOpwkIVmSZIqP6NSf2RFK1k8hSU9P1+bNm3XRRRfpwIEDqq2tVffu3c/8QgBASIwZ45fEPBcAAARTSUmJpk+fruHDh2vIkCFKSUlR586dVVlZqQMHDmjr1q36+OOPNXbsWNtRERcveTxS8RHbScKe9QJj3LhxWrhwoe6//355vV5NnTo14OkjAAA7cnNrOV0EAIAgu+2223T99ddr9erVysvL0759+3T8+HF169ZNaWlpGj58uCZMmMCPuy7geCKkeB8FhgtYLzC8Xq+mT59uOwYAAAAAhFRMTIxuuOEG3XDDDbaj4EwSfDIUGNZxYWEAAAAAAE7DSUiSiigwbLN+BAYAAAAAhLOKigq9/PLL2rp1q8rKymSMaXxu0aJFFpOhUUKSVPJXGX9d/SklsIIjMAAAAADAoiVLlmj37t36zne+o/Lyct11113y+Xy67rrrbEdDg4Qkqa5OKi2xnSSscQQGAAAAAFj0ySefaN68eerevbs8Ho/S09M1YMAAzZkzR9dff32b1r18+XKtX79eXq9XPXr00JQpU9S1a9cgJQ8fTmKSjFQ/kWd8ou04YYsjMAAAAADAImOMoqOjJUmdO3fW8ePHFRcXp4MHD7Z53RdffLHmzp2rxx9/XL169dLKlSvbvM6wlJAkSUzkaRlHYAAAAACARX379tXWrVv1la98RV/+8pe1dOlSde7cWb169WrzuocNG9Z4e/Dgwfrwww/bvM6w9O8Cg0up2sURGAAAAABg0Y9//GMlJdXvIN91113q1KmTjh8/rmnTpgV1O3l5ebrkkkuCus5w4XSJlrp05UoklnEEBgAAAABYdOzYMQ0aNEiSFBMTo7vvvluStHPnzla9PisrSyUlJac8npmZqfT0dEnSihUrFBERoTFjxrS4ntzcXOXm5kqSsrOz5fP5Ai7n9XpbfC7UQpmlKLmnIspLFXea7YXrZ9MawchDgQEAAAAAFj388MNatmzZKY8/8sgjevbZZ8/4+lmzZp32+dWrV2v9+vV66KGH5DhOi8tlZGQoIyOj8X5hYWHA5Xw+X4vPhVoos9TFJqj24Ben3V64fjat0VKelJSUVq+DU0gAAAAAwAK/3y+/3y9jjIwxjff9fr8KCgoUERHR5m1s3LhRr7/+umbOnKmoqKggpA5fTkKSVOyeQiAccQQGAAAAAFgwYcKExtuZmZknPefxePTtb3+7zdtYunSpamtrlZWVJUkaNGiQJk2a1Ob1hqWEJOl4mUzlCTmdu9hOE5YoMAAAAADAggULFsgYo1/+8pf61a9+JWOMHMeR4ziKiYlRp06d2ryN+fPnByEpJEkJ/56/ofiIlJJmN0uYosAAAAAAAAsarjyycOFCSfWnlJSWlio+Pt5mLLTASUySkSgwLKLAAAAAAACLjh8/riVLlujDDz+U1+vV8uXLlZ+fr507d55yagksSqgvnEzxEbU8FSrOJybxBAAAAACLfvvb3yo6OloLFy6U11v/G/PgwYO1du1ay8lwktgEyeORipjI0xaOwAAAAAAAizZt2qSnn366sbyQpJiYGJWWllpMheaciAgpLrH+FBJYwREYAAAAAGBRdHS0ysrKTnqssLCQuTDcKCFJhgLDGgoMAAAAALBo/Pjxmjt3rjZv3ixjjLZv366cnBxdddVVtqOhGSchiSMwLOIUEgAAAACw6MYbb1RkZKSWLl2quro6LVq0SBkZGbr22mttR0NziT5pfZGMv06OJ8J2mrBDgQEAAAAAFjmOo+uuu07XXXed7Sg4k4Rkqa5WOlokJSbbThN2KDAAAAAAwLIDBw5oz549qqysPOnxcePGWUqEQJz+X5KRZHZskUOBEXIUGAAAAABg0YoVK/Tqq6+qb9++ioqKOuk5CgyX6d1P6tpd+uwT6fIrbacJOxQYAAAAAGDRW2+9pUcffVR9+/a1HQVn4Hg8ci4cJvPPdTLVVXI6RZ35RQgaCgwAAAAAsKhTp05KTU21HQOt5FzxTZn8v8qs+YucjBvPeT3m8AGZ/L/JrP+bdKxEzldGyLn1R3KiKEVaQoEBAAAAACHm9/sbb99666165pln9N3vflexsbEnLefxeEIdDWcyeKg09FKZV5bJf7xcSukr1VRJ5cdUVlsj/+GDMsfLpNpayV8n1dX95++aaqm6WqqskEqP1q+v/5fkDBwi89d3pZoaOT+8z+77czEKDAAAAAAIsQkTJpzy2KpVq0557MUXXwxFHJwFx3Hk+dED8j/7f2X+dPL4VHi9UtcYqVt3KbKTFBEheTySJ6L+fvfY+tNOojpLqWlyho+Sk5gkSfK//IzMu2/IfOcOObHxNt6a61FgAAAAAECILViwwHYEtIET3U0RU38uU3pUOl4meb1Stxj5+vRVUVHRua1z1HiZd16T2fB3OVdeG+TEHQPHIwEAAABAiCUlJTX++fvf/37S/YY///jHP2zHxBk4sfFyUtLkJKfIie4mx3HOfWUpaVJyL5lN+cEL2MFQYAAAAACARa+++upZPY6OyXEcOV++WNqxRaauznYcV+IUEgAAAACwYPPmzZLqJ/RsuN3g0KFD6tKli41YsOlLX5HWvC3t2yVdMNh2GtehwAAAAAAACxYtWiRJqq6ubrwt1f8SHxcXp7vuuqvN23jhhReUn58vx3EUGxurKVOmKCEhoc3rxfnhDLxQRpLZs0MOBcYpKDAAAAAAwIKcnBxJ9RN6Tps27bxs44YbblBmZqYk6a233tIrr7yiSZMmnZdtIQjiffVXMNn3ue0krsQcGAAAAABg0fkqLyQpOjq68XZVVVXbJpnEeec4jtSnvwwFRkAcgQEAAAAAHdgf//hHrVmzRtHR0frFL35hOw7OwEnrL7PqTZnaWjledtmb4tMAAAAAgHYsKytLJSUlpzyemZmp9PR0TZgwQRMmTNDKlSv1l7/8RbfcckvA9eTm5io3N1eSlJ2dLZ/PF3A5r9fb4nOh5qYsUnDynPjSUB17e6Xi66rk7dnTapZgCkYeCgwAAAAAaMdmzZrVquVGjx6t7OzsFguMjIwMZWRkNN4vLCwMuJzP52vxuVBzUxYpOHlMtzhJ0tEtn8iJ6mo1SzC1lCclJaXV62AODAAAAADooAoKChpv5+fnn9XOIizplSpJMgX7LQdxH47AAAAAAIAO6ve//70KCgrkOI58Ph9XIGkHnM7RUoJPOvgv21FchwIDAAAAADqoBx54wHYEnIuefWQKKDCa4xQSAAAAAABcxOnVWyrYL+P3247iKhQYAAAAAAC4Sa8+UnWVdNQ9k3C6AaeQAAAAAADgIk6v3jKSVLBfSkwO6rrNoQMym9dLR4uk2pqgrrtFXq9090/bvpogRAEAAAAAAMHSq48kyRz8l5yhXw3aav25r8u8/Kzk99eXCp2igrbu0+rchQIDAAAAAIAOp1uM1CVaOnwwaKs0n/5T5sWl0iWXyzPhR1K8T47jBG39oUCBAQAAAACAiziOI/l6yBQeCto6/W/8UUpIkudH98sJ1ZEXQcYkngAAAAAAuE1SL+lIcI7AMPt2STu3ysm4od2WFxIFBgAAAAAAruMk9ZAKDwXlUqrmw9VSRIScr13Z9mAWUWAAAAAAAOA2Sb3qrxJytKhNqzH+OpmPPpCGflVOt5gghbODAgMAAAAAAJdxeverv7FnR9tWtG2zVFosZ+QVbY1kHQUGAAAAAABu03eAFNlJZuenbVqN+cdqqXMXOcPSg5PLIgoMAAAAAABcxvFGSv0GyuzYcs7rMFVVMuvXyvnqqHY9eWcDCgwAAAAAAFzIuehSae/Oc76cqtn4oVR5Qs7l7XvyzgYUGAAAAAAAuJAzcqwkyazNO6fXmw9XS/E+afDQIKayhwIDAAAAAAAXcnw9pGGXybz7mkzxkbN6bc3eXdKWj+VcfoUcT8fY9e8Y7wIAAAAAgA7Ic8tdkiT/Ew/J/PMjmarKM77G1NaobGG2FN1VztU3neeEoeO1HQAAAAAAAATmJKfIM/0X8v/m/8i/4OH6B71eKTJK8njq/0R4pZhYKTZBTvdYmT075D+wT54f/7ecbjF230AQUWAAAAAAAOBizqAh8jz6tLRji8zn26SqKqm6SjJ+yRipplrmWKlUWiyz73MpPlGx//2oygd1jLkvGlBgAAAAAADgck5kJ2nIcDlDhrdq+c4+n8oLC89zqtBiDgwAAAAA6ODeeOMN3XLLLTp27JjtKMA5o8AAAAAAgA6ssLBQmzZtks/nsx0FaBMKDAAAAADowJYtW6aJEyfKcRzbUYA2YQ4MAAAAAOig8vPzlZCQoH79+p1x2dzcXOXm5kqSsrOzWzxiw+v1uuZoDjdlkdyVx01ZpODkocAAAAAAgHYsKytLJSUlpzyemZmplStX6n/+539atZ6MjAxlZGQ03i9sYQJIn8/X4nOh5qYskrvyuCmL1HKelJSUVq/DMcaYYIYCAAAAANi3b98+/frXv1ZUVJQkqaioSPHx8Zo9e7bi4uLshgPOAXNgnKMHH3zQdgScAWPUPjBO7scYuR9j5H6MUfvAOLkfY3R20tLStGTJEuXk5CgnJ0eJiYmaM2dOm8sLN42Dm7JI7srjpixScPJQYAAAAAAAANdjDgwAAAAACAM5OTm2IwBtwhEY56jp5DZwJ8aofWCc3I8xcj/GyP0Yo/aBcXI/xsgd3DQObsoiuSuPm7JIwcnDJJ4AAAAAAMD1OAIDAAAAAAC4HgUGAAAAAABwPSbxPAcbN27Us88+K7/fr/Hjx+umm26yHQlNFBYWKicnRyUlJXIcRxkZGbr22mttx0IAfr9fDz74oBISElx3mSdIx48f1+LFi7V//345jqPJkydr8ODBtmOhmT/96U/Ky8uT4zjq06ePpkyZok6dOtmOFdYWLlyoDRs2KDY2VnPnzpUklZeXa968eTpy5IiSkpJ03333qVu3bpaThq9AY7R8+XKtX79eXq9XPXr00JQpU9S1a1fLScNboHFq8MYbb+j555/XkiVLFBMTYylh+HHDftDUqVPVuXNneTweRUREKDs7O2TfsWf7/b5y5Url5eXJ4/Hozjvv1CWXXHLe87z00ktatWpV47+LCRMm6NJLLz3veVraBwv652NwVurq6sy0adPMwYMHTU1NjXnggQfM/v37bcdCE8XFxWbXrl3GGGMqKirM9OnTGSOXevPNN82TTz5pZs+ebTsKApg/f77Jzc01xhhTU1NjysvLLSdCc0VFRWbKlCmmqqrKGGPM3LlzzXvvvWc3FMyWLVvMrl27zIwZMxofW758uVm5cqUxxpiVK1ea5cuXW0oHYwKP0caNG01tba0xpn68GCP7Ao2TMcYcOXLEPPzww2by5MmmtLTUUrrw45b9oClTppwy7qH6jj2b7/f9+/ebBx54wFRXV5tDhw6ZadOmmbq6uvOe58UXXzSvv/76Kcue7zwt7YMF+/PhFJKztHPnTvXs2VM9evSQ1+vVqFGjtG7dOtux0ER8fLz69+8vSerSpYtSU1NVXFxsORWaKyoq0oYNGzR+/HjbURBARUWFPv30U40bN06S5PV6+SXSpfx+v6qrq1VXV6fq6mrFx8fbjhT2hgwZcsovf+vWrdPYsWMlSWPHjuX/DpYFGqNhw4YpIiJCkjR48GD+7+ACgcZJkpYtW6aJEyfKcRwLqcKXm/eDQvUdezbf7+vWrdOoUaMUGRmp5ORk9ezZUzt37jzveVpyvvO0tA8W7M+HU0jOUnFxsRITExvvJyYmaseOHRYT4XQOHz6s3bt3a+DAgbajoJnf/e53+t73vqcTJ07YjoIADh8+rJiYGC1cuFB79+5V//79dccdd6hz5862o6GJhIQEfetb39LkyZPVqVMnDRs2TMOGDbMdCwGUlpY2lkvx8fE6duyY5UQ4nby8PI0aNcp2DASQn5+vhIQE9evXz3aUsOOm/aBHHnlEknTVVVcpIyPD6ndsS9suLi7WoEGDGpdLSEgIWTH69ttva82aNerfv7++//3vq1u3biHN03QfLNifD0dgnCUT4KqztL/uVFlZqblz5+qOO+5QdHS07ThoYv369YqNjW1saeE+dXV12r17t66++mo99thjioqK0muvvWY7FpopLy/XunXrlJOTo6efflqVlZVas2aN7VhAu7ZixQpFRERozJgxtqOgmaqqKq1YsUK33nqr7ShhyS37QVlZWZozZ45+9rOf6e2339bWrVtDnqE1An1eoXD11Vdr/vz5euyxxxQfH6/nnnsupHlauw92rnkoMM5SYmKiioqKGu8XFRVxuK4L1dbWau7cuRozZoxGjhxpOw6a2bZtm/Lz8zV16lQ9+eST2rx5s5566inbsdBEYmKiEhMTG5vxyy+/XLt377acCs1t2rRJycnJiomJkdfr1ciRI7V9+3bbsRBAbGysjh49Kkk6evQokw661OrVq7V+/XpNnz6dH6hc6NChQzp8+LB++tOfaurUqSoqKtLMmTNVUlJiO1pYcMt+UEJCgqT679X09HTt3LnT6ndsS9tu/nkVFxc3Zj+f4uLi5PF45PF4NH78eO3atStkeQLtgwX786HAOEsDBgxQQUGBDh8+rNraWq1du1YjRoywHQtNGGO0ePFipaam6vrrr7cdBwHcdtttWrx4sXJycvSTn/xEQ4cO1fTp023HQhNxcXFKTEzUgQMHJNXvKPfu3dtyKjTn8/m0Y8cOVVVVyRijTZs2KTU11XYsBDBixAi9//77kqT3339f6enplhOhuY0bN+r111/XzJkzFRUVZTsOAkhLS9OSJUuUk5OjnJwcJSYmas6cOYqLi7MdLSy4YT+osrKy8fTjyspKffLJJ0pLS7P6HdvStkeMGKG1a9eqpqZGhw8fVkFBQUhOa28oCyTpo48+Up8+fUKSp6V9sGB/Po6xdWxLO7ZhwwYtW7ZMfr9fV155pW6++WbbkdDEZ599poceekhpaWmNv540vXwQ3GXLli168803uYyqC+3Zs0eLFy9WbW2tkpOTNWXKFC776EIvvfSS1q5dq4iICPXr10933323IiMjbccKa08++aS2bt2qsrIyxcbG6pZbblF6errmzZunwsJC+Xw+zZgxg39PFgUao5UrV6q2trZxXAYNGqRJkyZZThreAo1Tw+TSUv3lNGfPns0RTSFkez/o0KFDevzxxyXVn+46evRo3XzzzSorKwvJd+zZfr+vWLFC7733njwej+644w4NHz78vOfZsmWL9uzZI8dxlJSUpEmTJjUeKXM+87S0DzZo0KCgfj4UGAAAAAAAwPU4hQQAAAAAALgeBQYAAAAAAHA9CgwAAAAAAOB6FBgAAAAAAMD1KDAAAAAAAIDrUWAAAAAAAADXo8AAAAAAAACuR4EBAAAAAABcjwIDANDhHTx4UHfeeac+//xzSVJxcbF++MMfasuWLZaTAQAAoLUoMAAAHV7Pnj01ceJEzZ8/X1VVVVq0aJHGjh2riy66yHY0AAAAtJJjjDG2QwAAEApz5szR4cOH5TiOZs+ercjISNuRAAAA0EocgQEACBvjx4/X/v37dc0111BeAAAAtDMUGACAsFBZWally5Zp3Lhxevnll1VeXm47EgAAAM4CBQYAICw8++yzuuCCC3T33Xfr0ksv1W9+8xvbkQAAAHAWKDAAAB3eunXrtHHjRk2aNEmS9IMf/EC7d+/WBx98YDkZAAAAWotJPAEAAAAAgOtxBAYAAAAAAHA9CgwAAAAAAOB6FBgAAAAAAMD1KDAAAAAAAIDrUWAAAAAAAADXo8AAAAAAAACuR4EBAAAAAABcjwIDAAAAAAC43v8HZ0DCpO+d44wAAAAASUVORK5CYII=\n", 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" ] @@ -1026,166 +1020,6 @@ "see dccp paper for reference" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "import dccp\n", - "track = compute_path_from_wp([0,3,4,6,10,13],\n", - " [0,0,2,4,3,3],0.25)\n", - "\n", - "obstacles=np.array([[4,6],[2,4]])\n", - "obstacle_radius=0.5\n", - "\n", - "def to_vehic_frame(pt,pos_x,pos_y,theta):\n", - " dx = pt[0] - pos_x\n", - " dy = pt[1] - pos_y\n", - "\n", - " return [dx * np.cos(-theta) - dy * np.sin(-theta),\n", - " dy * np.cos(-theta) + dx * np.sin(-theta)]\n", - " \n", - "# track = compute_path_from_wp([0,5,7.5,10,12,13,13,10],\n", - "# [0,0,2.5,2.5,0,0,5,10],0.5)\n", - "\n", - "sim_duration = 80 #time steps\n", - "opt_time=[]\n", - "\n", - "x_sim = np.zeros((N,sim_duration))\n", - "u_sim = np.zeros((M,sim_duration-1))\n", - "\n", - "MAX_SPEED = 1.25\n", - "MIN_SPEED = 0.75\n", - "MAX_STEER_SPEED = 1.57\n", - "\n", - "# Starting Condition\n", - "x0 = np.zeros(N)\n", - "x0[0] = 0\n", - "x0[1] = -0.25\n", - "x0[2] = np.radians(-0)\n", - "x_sim[:,0]=x0\n", - " \n", - "#starting guess\n", - "u_bar = np.zeros((M,T))\n", - "u_bar[0,:]=0.5*(MAX_SPEED+MIN_SPEED)\n", - "u_bar[1,:]=0.00\n", - "\n", - "for sim_time in range(sim_duration-1):\n", - " \n", - " iter_start=time.time()\n", - " \n", - " #compute coefficients\n", - " K=road_curve(x_sim[:,sim_time],track)\n", - " \n", - " #compute opstacles in ref frame\n", - " o_=[]\n", - " for j in range(2):\n", - " o_.append(to_vehic_frame(obstacles[:,j],x_sim[0,sim_time],x_sim[1,sim_time],x_sim[2,sim_time]) )\n", - " \n", - " # dynamics starting state w.r.t vehicle frame\n", - " x_bar=np.zeros((N,T+1))\n", - " \n", - " #prediction for linearization of costrains\n", - " for t in range (1,T+1):\n", - " xt=x_bar[:,t-1].reshape(N,1)\n", - " ut=u_bar[:,t-1].reshape(M,1)\n", - " A,B,C=get_linear_model(xt,ut)\n", - " xt_plus_one = np.squeeze(np.dot(A,xt)+np.dot(B,ut)+C)\n", - " x_bar[:,t]= xt_plus_one\n", - " \n", - " #CVXPY Linear MPC problem statement\n", - " cost = 0\n", - " constr = []\n", - " x = cp.Variable((N, T+1))\n", - " u = cp.Variable((M, T))\n", - " \n", - " #Prediction Horizon\n", - " for t in range(T):\n", - "\n", - " #cost += 30*cp.sum_squares(x[2,t]-np.arctan(df(x_bar[0,t],K))) # psi\n", - " cost += 50*cp.sum_squares(x[2,t]-np.arctan2(df(x_bar[0,t],K),x_bar[0,t])) # psi\n", - " cost += 20*cp.sum_squares(f(x_bar[0,t],K)-x[1,t]) # cte\n", - "\n", - " # Actuation rate of change\n", - " if t < (T - 1):\n", - " cost += cp.quad_form(u[:, t + 1] - u[:, t], 100*np.eye(M))\n", - " \n", - " # Actuation effort\n", - " cost += cp.quad_form( u[:, t],1*np.eye(M))\n", - " \n", - " # Kinrmatics Constrains (Linearized model)\n", - " A,B,C=get_linear_model(x_bar[:,t],u_bar[:,t])\n", - " constr += [x[:,t+1] == A@x[:,t] + B@u[:,t] + C.flatten()]\n", - " \n", - " # Obstacle Avoidance Contrains\n", - " for j in range(2):\n", - " constr += [ cp.norm(x[0:2,t]-o_[j],2) >= obstacle_radius ]\n", - "\n", - " # sums problem objectives and concatenates constraints.\n", - " constr += [x[:,0] == x_bar[:,0]] #<--watch out the start condition\n", - " constr += [u[0, :] <= MAX_SPEED]\n", - " constr += [u[0, :] >= MIN_SPEED]\n", - " constr += [cp.abs(u[1, :]) <= MAX_STEER_SPEED]\n", - " \n", - " # Solve\n", - " prob = cp.Problem(cp.Minimize(cost), constr)\n", - " solution = prob.solve(method=\"dccp\", verbose=False)\n", - " \n", - " #retrieved optimized U and assign to u_bar to linearize in next step\n", - " u_bar=np.vstack((np.array(u.value[0, :]).flatten(),\n", - " (np.array(u.value[1, :]).flatten())))\n", - " \n", - " u_sim[:,sim_time] = u_bar[:,0]\n", - " \n", - " # Measure elpased time to get results from cvxpy\n", - " opt_time.append(time.time()-iter_start)\n", - " \n", - " # move simulation to t+1\n", - " tspan = [0,dt]\n", - " x_sim[:,sim_time+1] = odeint(kinematics_model,\n", - " x_sim[:,sim_time],\n", - " tspan,\n", - " args=(u_bar[:,0],))[1]\n", - " \n", - "print(\"CVXPY Optimization Time: Avrg: {:.4f}s Max: {:.4f}s Min: {:.4f}s\".format(np.mean(opt_time),\n", - " np.max(opt_time),\n", - " np.min(opt_time))) " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#plot trajectory\n", - "grid = plt.GridSpec(2, 3)\n", - "\n", - "plt.figure(figsize=(15,10))\n", - "\n", - "ax=plt.subplot(grid[0:2, 0:2])\n", - "plt.plot(track[0,:],track[1,:],\"b+\")\n", - "plt.plot(x_sim[0,:],x_sim[1,:])\n", - "#obstacles\n", - "circle1=plt.Circle((obstacles[0,0], obstacles[1,0]), obstacle_radius, color='r')\n", - "circle2=plt.Circle((obstacles[0,1], obstacles[1,1]), obstacle_radius, color='r')\n", - "plt.axis(\"equal\")\n", - "plt.ylabel('y')\n", - "plt.xlabel('x')\n", - "\n", - "ax.add_artist(circle1)\n", - "ax.add_artist(circle2)\n", - "\n", - "plt.subplot(grid[0, 2])\n", - "plt.plot(u_sim[0,:])\n", - "plt.ylabel('v(t) [m/s]')\n", - "\n", - "plt.subplot(grid[1, 2])\n", - "plt.plot(np.degrees(u_sim[1,:]))\n", - "plt.ylabel('w(t) [deg/s]')\n", - "\n", - "\n", - "plt.tight_layout()\n", - "plt.show()" - ] - }, { "cell_type": "code", "execution_count": null,