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@wshanks
Created August 24, 2023 19:06
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qiskit-aer's results appear correlated when resets are used
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{
"cells": [
{
"cell_type": "markdown",
"id": "3aef1a91-39eb-4e28-b9e4-f0d1d9551e67",
"metadata": {},
"source": [
"# qiskit-aer reset test\n",
"Removing resets from the beginning of circuits passed to AerSimulator should have no effect but was causing some unit tests in qiskit-experiments to fail. Here is an investigation."
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "af705cf5-813c-4a8d-b5d8-81a81999b47c",
"metadata": {},
"outputs": [],
"source": [
"import numpy\n",
"from matplotlib import pyplot\n",
"\n",
"from qiskit import QuantumCircuit\n",
"\n",
"from qiskit_aer import AerSimulator\n",
"from qiskit_aer.library import SaveState\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"id": "e28d35e8-6e2f-4dca-a4c3-ec74aa810629",
"metadata": {},
"source": [
"Here are two of the original circuits in one of the affected tests:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "520709ca-1e82-4b82-9970-9866ba189069",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[{'0': 5000}, {'0': 2509, '1': 2491}]\n",
"StabilizerState(StabilizerTable: ['+X'])\n"
]
}
],
"source": [
"backend = AerSimulator(seed_simulator=7172)\n",
"\n",
"circs = []\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.reset(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.reset(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.h(0)\n",
"circ.barrier(0)\n",
"circ.append(SaveState(1), (0,))\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"job = backend.run(circs, shots=5000)\n",
"print(job.result().get_counts())\n",
"print(job.result().results[1].data.stabilizer)"
]
},
{
"cell_type": "markdown",
"id": "3570a9cb-7c1c-484e-bd36-4d45cc622c6f",
"metadata": {},
"source": [
"The counts are reasonable -- close to 0 and close to +X. The state result is exactly +X as expected.\n",
"\n",
"Now, repeat without the resets:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "c033b584-08ac-48de-b28b-9a636eea0018",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[{'0': 5000}, {'1': 2425, '0': 2575}]\n",
"StabilizerState(StabilizerTable: ['+X'])\n"
]
}
],
"source": [
"backend = AerSimulator(seed_simulator=7172)\n",
"\n",
"circs = []\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.h(0)\n",
"circ.barrier(0)\n",
"circ.append(SaveState(1), (0,))\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"job = backend.run(circs, shots=5000)\n",
"print(job.result().get_counts())\n",
"print(job.result().results[1].data.stabilizer)"
]
},
{
"cell_type": "markdown",
"id": "205fd318-5e5f-48b7-abb4-13cbb107bd8d",
"metadata": {},
"source": [
"The results are reasonable again, still 0 and +X, with slightly more deviation from 2500 for the counts.\n",
"\n",
"Perhaps removing the resets changed something about the way the simulator uses the seed to generate counts and just happened to result in a larger deviation which caused the test to fail because its tolerance is too tight. (Aside: for the actual test case, I tried a number of seeds and found that the case with resets always passed while the case without failed several times). Let's try looking at the counts for some different seeds:"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "b110dee9-b381-47b9-b886-7a6c7effe322",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"36.29780401071117\n"
]
},
{
"data": {
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PXr16YcWKFQCAdevWoaSkRHVMdnY2WrduHTyGRFFREQoLC1X/BAKBQCAQVEyYLUfPPfccrr/+eixduhQ9evSAJElYvnw5Fi5cSFSawkVubi4AIDMzU7U9MzMTe/bsCR4TFxcXkoYgMzMzeD6Jl156Cc899xxniQUCQSSx++hp1K2WhOioij87V0xAFlR2mC1H11xzDVatWoWMjAx89913+Oabb5CRkYHVq1fj6quvdkJGJrRpBWRZNk01YHbMuHHjcOLEieC/ffv2cZFVIBBEBv9Zuw+9X1mCB75Y77YoAoEgDDBbjgCgU6dO+PTTT3nLYousrCwAZdahWrVqBbfn5eUFrUlZWVkoLi7GsWPHVNajvLw8YhxVgPj4eMTHxzskuUAg8DpvLfkbAPDzFn0Ls0AgqDhYynPk9/uxY8cOLF++HEuXLlX9c4uGDRsiKysL8+fPD24rLi7GL7/8ElR8OnXqhNjYWNUxhw4dwtatWw2VI4FAIBAIBJUHZsvRb7/9huHDh2PPnj3BDNkBJElydEr8qVOn8NdffwX/zsnJwcaNG1GtWjXUq1cPDz/8MCZOnIimTZuiadOmmDhxIpKSkjB8+HAAQFpaGm6//XaMHTsW1atXR7Vq1fDII4+gTZs2wdlrAoFAIBAIKjfMytGoUaPQuXNn/PTTT6hVq1ZYlw5Zu3Yt+vTpE/x7zJgxAIBbbrkFM2fOxKOPPoqzZ8/i3nvvxbFjx9C1a1fMmzcPKSkpwXOmTZuGmJgY/OMf/8DZs2dx2WWXYebMmaqFdAUCgUBFJQtQrmSXK7CIXIFXV2NWjnbu3Imvv/4aTZo0cUIeQ3r37h1irVIiSRLGjx+P8ePH6x6TkJCA119/Ha+//roDEgoEAoFAIIh0mGOOunbtqnJtCQQCQUVHWFIEgsoFleVo8+bNwd8PPPAAxo4di9zcXLRp0waxsbGqY9u2bctXQoFAIBAIBIIwQqUctW/fHpIkqVxat912W/B3YJ/TAdkCgUAgEAi8QaVfWy0nJ8dpOQQCgUDgEcI50UYg8CJUylH9+vWdlkMgEAgEAkEEUZF1aOaA7I8++gg//fRT8O9HH30UVatWRffu3YNrmAkEAkFFQlhSBIJQKrJbjVk5mjhxIhITEwEAK1euxBtvvIHJkycjIyMDo0eP5i6gQCAQCNgoLvXj+ndW4pW5290WRSCISJjzHO3bty+Y4+i7777Dtddei7vuugs9evRA7969ecsnEAgErhNpdqP/bT2EVTkFWJVTgEcGNHdbHIEg4mC2HFWpUgX5+fkAgHnz5gWX3UhISMDZs2f5SicQCAQCZopK/W6LIBBENMyWo379+uGOO+5Ahw4dsGPHDgwaNAgA8Pvvv6NBgwa85RMIBAIBKzZjQSLNUiYQ8IbZcvTmm2+iW7duOHLkCGbPno3q1asDANatW4cbb7yRu4ACgUAgCC8VOM5WIKCC2XJUtWpVvPHGGyHbn3vuOS4CCQQCgUAgELgJs+VIIBAIKhuRNpPf7mrpEXa5rvLF6r145r9bDRdFF0QezJYjgUAgEAgEZYz7ZgsAoF/LTPRsWsNlaQS8EJYjgUAgMEGKMFtKpMlbESg8W+q2CGGnIlvLhHIkEAgEAiZKfX689L8/sWznEbdF8QyR5noNF28s2okfNh10WwxmLClHPp8Phw8fRl5eHnw+H2+ZBAKBQGADuzFHZny5Zh/e+WUXRnyw2tF6IonKqBuZLauzYe8xvDJvBx74YkOYJOIHk3L07bffokePHkhKSkJ2djZq1aqFpKQk9OjRA999951DIgoEAoEgnJhZQfYVnAmPIAJPY+ZWO3qqOEyS8IdaOXrnnXdwww03oG3btpg1axaWL1+OZcuWYdasWWjbti1uuOEGvPfee07KKhAIBAIPUHEjTQSCMqhnq02ZMgXTp0/H7bffHrLvqquuwoUXXogJEybgzjvv5CqgQCAQuE2kxZM4HSdbkQNxBQKAwXJ04MABXHzxxbr7u3fvjoMHIy/oSiAQCARsCN0olEhToAXGUCtHrVq1wrvvvqu7/7333kOrVq24CCXwJiU+P2at2Ys9+afdFkUgEBjgxkC9++hpzFqzF6U+seitIPKhdqtNnToVgwYNwpw5c9C/f39kZmZCkiTk5uZi/vz52LNnD37++WcnZRW4zIxfczDx520AgN0vD3JZGoFAoIddy45ZniRS8b1fWQIAOFvsw8geDe0JIKgQRLL7ldpy1KtXL2zduhWDBw/G+vXrMWPGDHz44YdYv349Bg8ejC1btqBnz55Oyiqwwbo9Bbhk8mIs2nbYchkr/87nKJFAIIhUjMa8NbuPhU8QTyH8ahUJpuVDGjRogEmTJjkli8BBRnywGmeKfbht5lrLVh+/Bz4CSn1+LNyWh87101G9SnzY61+yPQ+Na1RB3WpJYa9bIPAKTudRikQqY8xRRW4FltZW27NnD3JzcyFJEjIzM1G/fn3ecgk4c6bYfrJOvwdMpO8s3YUpc7ejbrVELHv00rDWvXTHEYycsQaAcCsKvI2bb6pQnAQVAaYkkNOmTUPdunXRqFEjdOvWDRdddBEaNWqEunXr4rXXXnNIxMpFqc+P22auwavzd7gtSgge0I3wv62HAAD7Cs6Gve41uwvCXqfAG5hlAq5sGPUFXugnBN4gkpsCteXohRdewCuvvIInnngCAwYMQGZmJmRZRl5eHubOnYvx48fj1KlTeOqpp5yUt8KzZPsRLNqWh0Xb8jCmXzO3xVHh84JfzUUivdM/eqoIuSfOoXXtNLdFEQgEAk9DrRy9++67+Oijj3DVVVeptmdnZ6N9+/Zo1qwZ7r//fqEc2aSo1JlpsJJkf3D3gltNrDZunc4vLgAA/PjAxUJBEhgjXjNmxC0LxQNDhmWo3Wr5+flo3ry57v5mzZrh2LHKOkuBH1623nuhnYt4Bvv8tkvMOhSYYPKaGU3RjuQBUcBGRX7W1MpRly5dMGHCBJSWlobsKy0txcSJE9GlSxeuwgm8RSTnrBAIAuw6coo5UaHb3yx788/gXIn9SRW8MOoJxAeMoCJA7VZ7/fXX0b9/f9SsWRO9evVSJYFcunQp4uPjMX/+fCdlrRS43Qkb4YWQIzfdaqLTj3z+s3Yf/vX1ZvRrmYn3bu7stjhUbNp3HFe++SsaZSRj0SO9qc6x/R1j8pqJ76RQRNB+xYLactSmTRvs2LEDEyZMQGpqKnJycrBr1y6kpqZiwoQJ2LZtm1g+xMPweG29EHMkENjhnaW7AADz/7CeDDXc/Li5bM3KXUe9s2yP0YdCZeomlNZ0oRpVLJjyHKWkpOCee+7BPffc45Q8Aofg0V95wXIkELiBm0aB6CimjCtcEAM9HZVJEbRG5N4g5iSQp06dwrp164JJILOystCxY0dUqVLFCfkqHV62zPo9oB15+f4IBE4QGx3+Rm/2phvmOeIqibepTNda2aBWjkpLSzF27Fi89957OHfuHOLi4iDLMkpKSpCQkIC77roLU6ZMQWxsrJPyClzEC241N0XwwOULKiExLliOzBCvQhkqt5r4cKtQUL91Y8eOxezZszFjxgwUFBTg3LlzKCoqQkFBAWbMmIFvvvkG//rXv5yUVWADPjFHHAoRoNihXFYCcyJxxmWMC5YjsxpFhuwy3L7U4lK/q226Ik9SoVaOPv/8c3z88ce4/vrrUbVq1eD2qlWr4vrrr8eMGTPw2WefOSFjJcO7nx9eGFgi/evsm/X70eyp/+H7TQfdFkXAgJvtLiaKvXLnBy3jyfyVBTe7xKOnitBm/Fzc/8UG94QwwQNDhmWolaOzZ88iIyNDd3/16tVx9mz417sShA8vuNUinTFfbQIAPOjhDk1gTlGpDx8sz8HfR045Xle0BeVIEB7ctJzMXrcfRaV+/LT5kGsyVGSolaM+ffpgzJgxOHw4dArs4cOH8eijj+LSS8O7SnpFxwuWGiWV3a1WyS+/UqPNr/XWkr/xwo9/4LKpvzhed2y0B2OOZOXvyvtmKC893NbF0jB0yHafbSS3DOq3bvr06Th8+DDq1KmDDh064PLLL8cVV1yBDh06oE6dOjh8+DCmT5/upKyVAuULxrPP4ZGgzAudoPiGFniBdXvCt1SSMuaI9h10+lVVlt9/2lJV9m4PdBNhQ6Uchbl3Mpo9vGZ3ATo8Pw+z1+23XP7bv/yNbi8twr6CM5bLiGSolaO6deti06ZN+P777zF06FDUr18f9erVw9ChQ/HDDz9gw4YNqFOnjpOyVgqUr9euo6ewbk8BVvx11DV5lFR2y5Eg8onEJhyrmK1W4jO/gvV7j2HF3/b6DLNvKaU7aWfeKVVSzUi8x1Zhdaut+OsoN8XaZ6CFXvf2Shw7U4JHvt5kufyX/7cNuYXnMHnudqbz9hWcwX83HoDPL0f0xyxTnqOoqChcccUVuOKKK5ySR6Cg76tLg783PN0P6clxLkojYo4EAjdQWo5KfH7ExRh/0w6bvsJpkUKsQ5W1Z1DdBxNNoOB0MYa/vwoAkPPSQNvWfJq8c5kpCbbqAACfn212bc/JiwEAZ4p9SEuM3NQ+tpzZx44dw5o1a7B/v3XTnYCO/NPFbotQ6ZUjK5e/8M/DGDBtKX4/eIK/QA7zw6aDuPy1pdh15BRkWcY9n67DmFkb3RbLHhHYhJUB2SWaBXOf+e9WjPhgVXCgdML1/f35dpBjsHyJst5N+45jwLSl+GXHEe6yeA2Wu11wuij428fBDG9kOQpA80G94A/jPspq2oaVf+eb1u1lqJWjJ554AmfOlPkeS0pKcNdddyEjIwNdu3ZF/fr1MWzYMJw7d84xQSsL+l8T7vfqjB8QAgC3f7QW2w+fxF0fr3NbFGYe+GIDtuWexL++3oyDJ87hf1tz8c2GA9xWh1+zuwAHjkfGDFd3lw9RKkfqfuDjlXuwbOdRrNtb5qrhoRvJsozfdhUE/37wfDt4bPbm8mMMzs8/XYzth0/ilg9X2xfG47Aoo8plYHgEU1st48TZEvyy40hQQbvj47I+6u5PyH2UnY/iSP6eplaOJk2ahFOnyqatTpkyBd999x3+85//YP/+/fjvf/+L1atXY8qUKY4JWtnxQryPFwKyIzXR0clzJW6LYJnTRaXcl47ZeuAErnt7JXq8vIhruRUR5WuntRwFCAx0PKy7C/7MI24/U1xKlKkyw3IblPmqeFiOrL6T1729Ard8uBofLs9RbT9VVEo83uqzjvQmQq0cKQfG//znP3j55ZcxbNgwZGdnY/DgwXj11VfxxRdfOCJkZULXbuSBluYFBU0QfiRJYm5/x04XY8QHq/DfjQeI+zfsOx78ffvMNdysUU7hpkquVHj0lCMpeKz9+pZsJytHSipyZmQW1LPVjIlSKEckq8/+Y2fwz/d/w+Jt5vcfAHSagik7DpcZOf67ifxuarH6pD3xMW0DppijgMtn37596NKli2pfly5dsGfPHn6SVUJ8fhmbD+j4fT3QGdn5KvX7ZWzZfyKil87wwjPgAetjtKIYTJ2/Hct2HsVDX240LXPhtjz8Z+0+C7WED688eT3lKEBFaaMRA8PtjpaMLUePzd6MX//Kx60z11CVRxMobfTu0vYDka7kWIVpttp7772HKlWqID4+HseOqacjnjhxAvHx8VyFq2xMnrMN7yzdRdznhfZp56v0/eW7MPHnbejfMhPv3tyZn1CCsMA66B47Y+xG1HpHTxWFx3LkgdeIGbVbjXwFgQ9XUj8hyzKXPGfqQrV18C0+UlB+MJrdY+XuUoJic/Qk26SbcCSBBEwCss3OVRzhSDt0EGrLUb169fDee+9h2rRpiIuLw/r161X7Fy9ejObNm3MXsDKhpxgB9jsfO01yy/4TuO/z9Th6qsj8YB3eW1bm3573R2iGdUHlI9wJ8+ziprTKAcbMckSy7vJSXLYeKMTCPw+fl0lTR0SqnWTW7i7AfZ+vx6ET5pMFWK5a+RxKCUou6z0M1+xhy241rlKEH2rL0e7duw33X3TRRejVq5ddeQQ6uNn5DHljue0yImsoFCiRJODgcTET1S30ArJJ7g4exgSjj/vbP1qL3S8Psl+Jh7n27ZUAgJJSv6mVW/kMzPo4ZR+udKsVnC5GQqy+nUKWZRw8cQ7ZaQkqywtNUDcPQw2LW00VJC5rl5mJrPk0TG41Iy666CJeRQkIVFaztRZX361K+gx+P1iIG9/7jWuZ2k7S852mRsBwvo/KuopLZeL2gHikgcwJUbX1VMT+6fBJc0u5rPObeKzScnReiThxtgQdX5gPSQKa1qxCPO/fC//CtAU7MLpvMzzUt2lwO01ANhfliOHYsf+xnpHba3hvRUMBkUjvfKI8P/oJaOHRFt1qDXpfwXvzz+CZ/2715DpSSomVrhS/xmpxuqgU47//I/R8BzqPCO+OqKDJ7kyzAO+Z4lI898PvWLO7PHdUIJh6e+7JkHK0TFuwQ/VfbRm80HsnWayR324onwEnQ1avFWpNLNfgZjkSVC7OlfiQEBtNfXxF0I3C/XKfLfYhLiYK0VESTheVIjm+4ryuXmoPp4tKMfz937D/2Fks3XEES/7VJ+QYrbjhlF856CoHUe2g9X8Ld2L2+vCsVhCyfEikjXwUVKVRjih6hX8v/Aszft2t2hawHNlpRxTL7HFBT+k7rZMXSX0ub2nCh7AcRQheC3hs+9w8FJV6OzeNl2CdpXH8TDEueGYOhr6xHP/bcgitnp2L1xfudEg6NrzWFu2wad9xtHp2LvYfKwu+3Z1Pthy5ecUq64Ry9o9Gqr/zTpHPd0ImB8r0GlTrgsnEnyp2HQl9LqSAbFbsJma1o7h8uXovWj07F5+v2stQX2S1GqEcRQheS8BYXOo3XGtJi4cMBZax83KznhtYl+r3g4XBZRumzt9hdErY4ONWc6dFaEV/fZE1hTOsMUcgW45IMUfE88Mgq8e6J8ucLS7/4EtNNLfUqvplhpsQtBzRnxICjyzbNJDaz+PfbKE6L5LbhWU7fXFxMfLy8uDX+D3r1atnWyhBKEaDq98vq7KvhguWAS6S8lt4AeX9EvfOOcxWuA/g6lR+HeuEmwtBhwZkk2Vxq2+yyomz5fm5kuLMh0erVlQe8UI0C8/y+Aixeo0hrlfbkoQXZsvRzp070bNnTyQmJqJ+/fpo2LAhGjZsiAYNGqBhw4ZOyCiAfsNav/cYWo+fi09W7jY834nx1Y0+L1L1BFYFR3m0166ZSyfnkWuKi/a+8VxlnFAFZNOe715AdpeJC/HEt+ZWBq/AuoyNnsvTDB5uNTctR26WEy6YLUcjR45ETEwMfvzxR9SqVUt81YYJvYY1ZtZGnCn24en//o4R3RqEVSYvPPpSnx//WbcfFzWqjoYZyVzKXLbzCEp9Mvq0qMmlPCso7y3v2+yFmCEPNB0ADJYjFwXWsxyprTX6AjoyKFFaBY6eKsLnq/Zi4tVtHBCCP0WK5Y1oYnrUz4O+Hh8hIJv1OdFkyDZqt38cKsR3G8zXV7NqoST1M8fPFOOHTQcxuG020pPjLJUbLpiVo40bN2LdunVo0aKFE/IIdPBmMJv7Q9xHK/fghR/Lpi/zSE5XXOrHiA9WAwA2PdtfFZQZzkfg5QzSPNqi9qMqXFerFZ1WOXITWSfqVzk2SlKYZ9AxKtg+v4zoCHCvKS1HNFeoN5PQjHLFpvyesL5VdgOyAeDhWRtNj7HzuqvuD2Tc8+l6rNyVj3l/HMYnt3e1XnAYYO4ZWrZsiaNHjzohiyDCYOnrohwag9YqcofwQJmB+OQ54/XBnERlOfKCiU4BDx3RzhXlFZ7Dpa8swbtL/7YtR2wkuNX0Zqt58oOJTL6NpYfCicpyRHF/rT4C0tpqrM/T62410nkrd+UDAJbt9L4OQdUzFBYWBv9NmjQJjz76KJYsWYL8/HzVvsLCQqflrbTotU/agdMJSwTLoO2UJYS33qBMVunm2OMtdchbTFuwE7uOnsbEn7cxn6u1eESE5UjHOkG/qjpbfTTvakiZJnXkUWSb9gLK9CSsugfL4eS11cr5afMh0/gnuoBs+1h1w58t8eHnLYfKy9EUs+CPwzhw3Hz9OregcqtVrVpVNRDKsozLLrtMdUxgxV2fT+S+cQK7A7UTcSZeGMB5K11KZcvN2UBKvHCflXCZym/joswWX2UhntJy5O7Cs4rfKrda+R/hlo+1DRyJEMvRuRJF22K0HLFYfkhWH+Xp932+HsO71jOM1fK65cjMOnTHx2sB8AmHcAIq5Wjx4sVOyyEwQW+gdrPTZhngeFl4QopRbHjwiw1ITYzBi1dZD/40+jKn6SPOlfhw64w16NW8Bkb1amxZDrVbzXIxnsWta9Iq05HnVivHr7M95HxHZqvJhn9r8YUrnbNNWC1Hyn6ZyXJECMjW9vFfrKYPZL/yzV9xb+/GGNAqi7u7NTKeHH+olKNevXoFf+/duxd169YNcanIsox9+/bxlU4QxCNGDBVMeY4I20p9fqzdcwzt61ZlWopEr9zvNx0EALxwZWvLcTrKTt6K5eirtfuwclc+Vu7Kt6UcaSbz2yinDK4dJg/LkY1rsnM3tIN4bMS51fR+A3p3JixJIE3qoHEBeYEiheWIRqm0elVmliPS30Zs2nccd3+yDrtfHsQlYfCZ4vKlQSIpto0nzD1Dw4YNceTIkZDtBQUFIs+Rg9j9+nMm5sje+VPmbccN7/6Gh77cYEMGvtel95VOizLDrh14W44qaf9mCm2eo5CPwTB+T8s0v8P8gFmri5QB9hyj5cjqbLWAa1jZqni1KdW9tth53PLh6vLy7AoUKCcymkAQZuUoEFuk5dSpU0hISOAilFXGjx8PSZJU/7KysoL7ZVnG+PHjkZ2djcTERPTu3Ru///67ixIz4MGGxeZWCz34w+U5AIC5vx+2LgNhG7+kZewF6d0T1j6Kr91I3Xwm/rzN3lIoHBqjW2417WVbkWPL/hN8hKFEz9VL69LZdeQ0bp2xGuv2HOMnk8nfWmitGev2HMOtM1YT1yMLByrLEY1yZPCXEeV5jsobIGvSbL13WLnV6mu2Znd5W+EV2uSF/GosUOc5GjNmDICyh/n0008jKSkpuM/n82HVqlVo3749dwFZadWqFRYsWBD8Ozq63F0zefJkvPrqq5g5cyaaNWuGF198Ef369cP27duRkpLihrjUhLtZ7T56GtWrxCElQX/xRbbZas7Ae5DVi+kA6DpLPQsd84whmxe2J/80MlMTgu5KbUe6ef8JtKtb1VLZTnwBuhG/Bljr+K98czm6Na7OTwgDSn1+7FQtKKt0+yq2GlzHnR+vRW7hOSzefoRb8CtrG6B1UV/z1goAwJ6CtVg0tjejVPZRTuWn+YCwPpXfuR6d9/t54kwxDp04i1ppiXwL9jjUytGGDWWuD1mWsWXLFsTFlWe3jIuLQ7t27fDII4/wl5CRmJgYlbUogCzLeO211/Dkk09i2LBhAICPPvoImZmZ+Pzzz3H33XeHW1QmdBu8A1rH1gMnMPj15biwQTr+M6q7gUwMb6FD2hHRcmSjPPXyDO596dhZPmT93mMYNn0F6lVLwtJH+wAIvSesyyTwxiu5m6xY0Pxy+JJ0jvlqUzCWDtCfHWV0HbmF5xyQTGMzMbmNrLrAgWPuTPFWvhd07781txo55oiTW43zp/Tu/DPo9tIirH2qLzKqxOvXayJ/pLnVqJWjwIy1W2+9Ff/3f/+H1NRUx4Syw86dO5GdnY34+Hh07doVEydORKNGjZCTk4Pc3Fz0798/eGx8fDx69eqFFStWGCpHRUVFKCoqn4rqRj4n2w2eoS//98KylcqVplUSbuhGIZmVecccKX9buOUsbrVx32xG/5ZZxGVK1MuHsF3jj5vKcovsLTgT3Ea6loV/HsaCP/Pw7JCWTAHxZrdl3Z4C/LT5kMlR1uGpmNA+Y22N4XIRKBWjsnoVv1UutrCIYxnWgd+ty1Fajt5bloOH+jZDlXj9YdJqjCLJckR7/ldr9uHvI6d0j3dKCfnzUCF6Nq2huz/SlB8zmGOOZsyY4VnFqGvXrvj4448xd+5cvPfee8jNzUX37t2Rn5+P3NxcAEBmZqbqnMzMzOA+PV566SWkpaUF/9WtW9exa9BDr/PjMUz4/bIqg+32wyc5lGoOl3w5xHJtxNMoTj3qcG6WL1bvw60z1xD32dH5SOdqv4IlScLtH63FF6v34uOVu7lmML7mrZWmx2hFdGu5FJJ1gGceJVYKz5WoppNr8etYNsMdzxGa5sK4fh5W2GOni3GuxIcTZ53LXF9cqn72gQ9FPax+TJUSArJp79GjszfjnaW7sGHvcbJM9uOxHSHSdCcqy9GwYcMwc+ZMpKamBl1SenzzzTdcBLPCFVdcEfzdpk0bdOvWDY0bN8ZHH32Eiy66CABh1olOgLmScePGBWOugDLLUbgVJCddPA98uQE/bT6Er+7uhi4NqzlSB+kec7kiB1/+ER+sxjsjOmFAqzI3bTgHIKWy4EgCT8V9m/jzNkz8eRueGNgCd11inn7A7ZlHdjp8reikj44B05Zi0SO9rVdikRNnStDu+XmokRKPNU/2JR6jay0K8yMJCcg2c6vZ1De35Rbi8teWBf/e8HQ/RxYu1b5r+4+d0TmyDOuLspZhZ+FZ/bKdaQxmHzCRpvyYQWU5SktLCw5uSgsK6Z+XSE5ORps2bbBz585gHJLWSpSXlxdiTdISHx+P1NRU1b9w4+SAFHCBvL9sFwD1Ehq8cCwgm1CyrTulOfmVudvtlGYdzp1myCwtwjG0y3HwaInaJrY7/zRe+vlP5J00jo+RZRlfruGXT400kOw6ejpkWzi+wNfvLXNjHzFYakNtqaCbrcaKE9fKrERoDv9ytfqZr+G8pmKw2pD3xEQhULnV6K9RloG5v+finaW7FOfzwamh4ss1e22d7/ZHFStUlqMZM2YQf3udoqIi/Pnnn+jZsycaNmyIrKwszJ8/Hx06dAAAFBcX45dffsGkSZNcltQcvXbFM+YmKS76fJl0x3uhrfNe6FvbwbF26k4EGvO4zV6ZRivLMkp8csig89mqso53w77j+Orubrrnz//DetoHsjzmxxSV+sLS1mlWrVdPGIDitxxWF4p2oDO7PXYt39prcyqgv0jjVjP7qjPKqG+EX5Zx9yfrNGXxCsguh+dd+nHzIbx8TaluDJaZ/MdOu7eQtxWYY47ee+897Nxp7Id1i0ceeQS//PILcnJysGrVKlx77bUoLCzELbfcAkmS8PDDD2PixIn49ttvsXXrVowcORJJSUkYPny426KbEo6Ay8S4skZPazliGXBJRVrKI0RVLnOxuue6pQCqksM5YTnSecRLd4QmeDUri4V/vr8KnV6Yj9OKDLxKzHLx8F6o0m/yYh05WYSWz8zFWo45gvSgUY6UWE1AyAPW6rweMA4Ai7fn4YvVauuI2RNR9oF6l0jb9/G6R6o19zgrkXaS3C7dad63eAlm5Wjq1Klo3rw5srOzceONN+Kdd97Btm3sq2M7wf79+3HjjTeiefPmGDZsGOLi4vDbb7+hfv36AIBHH30UDz/8MO6991507twZBw4cwLx58zyf4wgIz7TyxPMzlnhbYwDnAm6dDuT1MQ5AzszKY7ReKX5/tXafTglkSR+bvZmpLlZW/J2Pk0WluotS8vp69vllzPg1B1sPGCdsNKvtm/X7w7bAp/KjRDfBn87sKK/rHqz9lxuWzrFfbQrZZqZcaFMrfLZqD9ZqXH6kSyc1KV59vJNDhZGMZtXmOZJSwjmop/IH2LZtG3Jzc7F48WL88ssvmDZtGu69917UqFEDvXv3xpdffumEnFSY1S1JEsaPH4/x48eHRyCOhMNfG3SrwbyTLttnXmYg4J349cQsYSjkcm3MVtP87VauI15K1qNfb8YFWalokJFkfvB5zCYp8Bi4aJft0EJ7X2av34/nfvgDgPGq35YDakMsjOYTO8xQWo58fhkx0aR4OvJstXC305DqTOq3q1+GYzaj3Rp+2XEE36w/AMB8pXnS7eL2CB1sCkYfCmbye12B12Kph8rKysKNN96IqVOn4v/+7/9w8803Iz8/H19//TVv+QTnsd+5kFE29kRCzNElUxbrlmkm0rkSH/pNW4oxX20kn2/hmpyOq9Aqg6yzbHjJx3MWy96CMyHPSk/OQyfO4cIJCzHz1xz9Ai3Ko7y3cToLvpoVTVv1HwfJuchCnq9OgYHjaJ7nV2v3ofOLC7B5/3FK6cgo9UW9DMqq2WrKtulxt1qkBeMGMHWrKS7LzEqppJTQsXg1CaQSO1ZUN5PqWoFZOfrf//6Hxx9/HBdddBEyMjLw5JNPIj09HbNnzyYuSCvgg17DsjsWK2M/ApYjpXl/X4H1GI8l24/gr7xTwa8pHoTGzhC+ru3EHGn+Zg7Itl61phzlVH57+GSZarZagKOnijD+vNWFJ8oBP15HOeIFtZKq83wDstJYLB79ejPyTxfjwS820IpHRPne0ShH6niXcFuOGAOyObsmnfhGIrUZs3akvO+nzpHj6Eho8ykB/CxHTnqBjZY9Mc91xVsaZ2F2qw0aNAg1atTA2LFjMXfuXM9N36+oOKV0nykqD7CLPf/pGkU5bpl/6TgXGFheLt/yQvPguORW47l+mF/malmwWpRyQNC1HJkUTntbaN0weh12qU8GQ9LwsnNs9v5Kt1qpTiJKVZyRrP7tZr4/0zxHdi3fYbm40ErMqlVe18kisnJEkj1kVhx4TuVX9LucygxgJ0FqhBmO2C1Hr776Knr06IEpU6agefPmuP766/HWW2/hzz//dEI+wXl0LUc2W/8pxQsdqMHLeY5CpvRyKlcP1k6dlxKonq3GaL3SiODzyyFfdW6sbaYcEGIsRv3z7l/13quS824Plttkt/OnsxzpxRx5O09OpLlUaFE+j5M6liPSpRcTlAwnpvLzvutGypFpzFGEtQFm5ejhhx/GN998gyNHjmD+/Pno2bMnFixYgHbt2qFWrVpOyCiA/Q5Lr5NXLVUQiLOgLLPgdDGWbM/jbjJngbvlSJvnyODaNu8/jp1OLbWijDmyWRSrW80Mq21RaTnyyrIGepdS6gt/m1beV736lVuVTTPcAw8pIJ3leBa27D+BnXmnrBdgA9PZahbLJbnVSF2NlefqZFMo9cnYV2CcNVyPyFKNLLjVAmzYsAFLlizB4sWLsWzZMvj9ftSpU4enbAIFdr+89E5XBtgFftJaFa59u2wNrcnXtMU/LiQtp1JeDq2rjhVihmw7t4rSrZZ/qghD3/gVgHpmCreAbNWMQXtllVmO1NhpT1bjW5SKuNP6tN5zoL0Pem4tI+wqKMr7SgrYPX8QsT4Z4XWrsbYBH+O9CRx+/EwxhryxPGS/E8o1MebI5Byrj5zsVgstzMp7oopF46wplfj86Dl5saVz3fyItgLzkDV06FBUq1YNF154IT777DM0a9YMn3zyCQoKCrBmDXkRTYF9nGpXSvN94EVi9XjM+8N44V5APdjbmdWjVYbMOsnF2/Jww7srqb92QgdPxT5FR3PwOFvODta+XD1bzd7D9/nlkDLClbsHKJP/5y2Hgsp02TZn67QZj010e5hh95Yqz9d7Puqp/IrtHO8njeIRYjkyOd6qMp6ns5SKI8oR9UYl1q6rmLC4MDkfkj3LEX+3mkFAtplbjbMsTsNsOWrWrBnuuusuXHLJJa6sMVZZccpn7ydYjlhjjlhFG/7eKmx9bgDbSTqQJJUhY8v+E2hSs0pw1fux/9lkuCxF8FxKy5FqkPLLiDqvUfLqs+08bq3lzy+HfpPaUY5YZdtbcAb3frY+RCY3CHm+Ovch4NZiic2yO2NMqcDqDULapIOk3+GAtTqr4jkR/2iHY6eLcfRUEZpmliUOpkoMS7gE4mw1wrlW3lNtoD5P7ARkR1rcGbNy9Morrzghh8AMnXZFOytHr48pVSlHsuGxrCjLUf4+pTOrw1odocJ+s/4AnvpuK9rWSQtuyz+lv5inEXqDp+orX5YR5aBTw3bMkT805iiclqNeU5aEbHPaxE69PqDOdl23loMoZdG3HJn/DgesiiDr8w4czbqkih3IbjX1xg4vzAcALBjTC01qVqG6C3YCsq3oEzRLmljF6L0waxMRphtZSwIpCD9Oad2kTtiJmUxmJY79ahNmr9vPVKbe13JgyYzN++mTsgXL1LzgerESyuehuoec7h3PvDWk2WoldixHdgVCOGKOyM9Bu1l3tppPxmsLdmDa/B3E/U5kOFZbjnSm8ivq8Ktc4vbqtotTU/mjdZ7j8z/8gfeX7SLuswrpQ1PvdV5zfokQHpMTApDuEWusFqCRiXvMkR2Lc2RpR0I5ihD0Ohe7YzHJcsT6scajyc9evx9j/xO6tpFhvTLZ7G4rCWSIW02xT7G98Gz5CtOOv/M2y/cR5nlbCTgOisPhgp02ses14dBZVuTjjp8pwWsLdjJZOe0qfEpZmGOOwp4EUvO3yfFWn3c0YQkVANidfwYv/uR8+hi9dhQdJSHv5DndBZTNICtHoffIUsyRzm8e2JnKH2Hx2NZnqwnCSzhijgJVsK5jRDVYOmCN8suy42ur6V3byBnlkw+UX3fcrlJHKbOCjxBzZCd2oCKh93zPlVhZfdxmzJHit577Qi/myC+HNz0C7XtCu1/v+HBGHLFkyD56qghdJiy0XC5xthrJGunXHmN+H520KBqluDCryo3FhO0gLEcRgt2vdT2FR205On8st+noZGJ1vgZZC5UN6gg5zeJF0XztKL/yed07tWWc7dlrRfATYo7smcfVfxeV+vDcD79j+c6j1GXwWvBVF92p/OoC9J6vmfJIVMpt9v3KQY0mz5GdNmIbxuqsWg3MTrNjAbXDut3HbJ1POxvSiltNCW+FxF5ANkdBwgC1cvThhx8a7j958iTuuOMO2wIJyLA2rOJSP9XXr0/xhRoYsJhnolAco3TV8QqylB34WrYy5d3r+Tt8/tBOkmfA8Yxfd2PGr7tx0werGGTyxj3TzXNkIh/xKx/AyXMllhUV5Vm690dlLeIbl3b6vAvxdJF5v8EckE2Q9eS5EsKRbNhR8rWQuhK9j0qWPowYkE2wHJHQ3jeaR+6knmw8lZ/9nfEy1MrR6NGjMXjwYOTmhua0mTt3Llq1aiXyHDkIS4cryzK6TlyAji/MN9X0SYMAa8dH5VVT/I7hlBFSd5o9x5gjmn1qtxo/xS/422ZZpAzZPAeVPfmnmc+xqhvRKsO0z0FPDCtfyAWni9Fm/DyM//535nMB9TPXC5hXbuWZ5+jKN5ej1bNzsfPwScxezzYxggatBeSnzYfQZvw8/N+CncTjA0eb9XtW8lHpYZoNWyGL3Q88y8oRxTnqJJAsUplj56OqwgZkb9q0CadPn0arVq3wxRdfACizFt1+++0YOnQobr75Zqxdu9YxQSs7LIPJ2RIfjp0pwZliH3JPGCcrVGXI9luzHOmh19nE2HGraeAdkG0FJ+LB1IG39sr3EzJk84w5sjTd2Gm3mk057CiPH63cY1sWn84gpI4n4dNG1u05hq0HCgEAT323leoc2nxgesc//s1mAMC0BeTZgHrnadFTMnJPnMOr87bjcCFbslYti7bn4ZOVuwGo20SUiXK04I/DeO6H37H/GDn5LCnmiIS2GVDFHNlQmo+dLsarOjM0AWOlzjTmKLJ0I/qA7AYNGmDx4sV47bXXcOedd+Kzzz7Dli1bkJqaihUrVqBTp05OylnpCXQ+Pr9s+tVSUlreCuN1Vj8PoFSOZM1/aaE5XqkoGS06KssydXyQrBN0ZOcdtPICKzswt3LWGbWLUkKGbDtrh2ldPnaz+DqBnvUzZFDX6evdiGVRiqabBFLxW/kMZdm61fKat1YEf1vND2U6U0nTZngld9RT8kfOWI1tuSexZMcRfH//xZbLP3KyCE//93d0blAN9aolBbebLZx8x8dlhoLTRaXUSSBJWLIcyaF9Oi2Pf7MZc38/rLvfyN1sPlstsrQjZv/G3Xffjf79++Pnn39GQUEBPv30U6EYhQFZLluAseUzc/DOL38Ht5MUiSJfecyAmSJFmsrP+kbRfM0ojzFSflhiUfyyrLO2WnhfQrtBkyTUs5KMj/0r7xRaPzsXU+dtL9tAyOUT6lazPvj3fmUJ/jhYqCifvQwnO8pTRaV455fyHDhGMWF6SpQbs/l0c2cpCBwyec624AAMlL2yPIJvrSpYZm1Au5/WK2XWTPSe07bcsgWhWXKdGelrR04WqZRRvfxLWnILyclnad2BlmKOVMeztYk1JoHmJQZK3fTFfxmeG1mqEaNy9Ouvv6Jdu3bYvn075syZgyuuuALdunXDtGnTnJJPcB6/LOPJ77agqNSPl/63zfBY5VeJWYMkLR/Ca4aDsvtQlmjUMZq5M7Rlcg/INrh2vX3Ke+iG4WjynG04W+LD64vInRNpoLUbc/TcD+VxNVYUHScUygBzt6rjIo3q0hvUzQKyadh5+CQ+X7UXPr+M+X8cxrKdRwyPV8Uc6SWBPP/f6Uv+Vm/ndD+pLUchFg3j+rVthDZmx6xcGiX209/22FZ2oyQJJQozI9OyMoRLoP0I1Fo2z1DkVbLTFMwei9F9fGepcVLOCms5Gjt2LC699FIMGTIE69evR//+/fHVV19hxowZmDhxIi655BLs2sU3Y6mgHL9M3+hVypHJOaUEB7UTbVhZppFJnSXAUpZl7sqIlWu3O/OKuGyAzm8rkJYPses2km0K6GQ/qY33J7mOA+h12Dxm0/WbthRPfLsFb//yN+78eC1GfLDaxIplXr+eEmTHraaE1t3F6lbTys3kOjeAJnbnqe+2YsavOabHGYkUJakVg3Dl7NG2z+d++IPiLLW7lQWz52Irs35k6Ub0ytF///tfLFiwAFOnTkV8fHxw+/XXX4+tW7eiWrVqaNeunSNCCspeRtILSWrKyg7joS83lB2n0+Z9RMsRo2yMJxh1wCyDNkviO+VhX6zei4snLcLfR06FHGfl/aX5ImJ1JaoGE5udyn/W7sMlUxarttlfQZ7gjrV4Pm+0SoJhXRYtRyyD4+JteVSyKPexxoRxs/Za1K++MZnhxupWo/Xw01pAV+cYu4sAE+VS0jyTMA302vay4A/9eKDyc8p/ny3x4fLXlqLB4z/hsqlLUGiSPsHsudhbsDqytCOm2Wo9e/Yk7svMzMR3332H6dOncxNMoEa2aDla8Xe+4bGlqq/qgOXI2UZs1AEzuXt0vpbNxB/3zRbsP3YWT367hXCuwZe9zi5lB6a8NtpV0836G9aBT3tPTheH5q2xq5z4VMoR+/lONrHQ9dPK/rt4Wx6OnCzS7CMLwjMgu8TAcqVCsfOkzrIlevct/DM01X//fcQ4nYP2PlNbqEwujNZdJssyTpwtwfebDuIs4X0wI0qSVFZt2venbIIJc3W69ZRQTKVXnrK34Eww/urvI6fxiclMSrPnIpJAEkhOTjY9ZsSIEbaEEehDynKsB+000UC5wd9WLUc6Z+i9Z0YvIMvLp2dNo1UmWONu9I5WiqxUTGifF6mjVXmtHHFz2itU2dF5zXKkbV8+v4zVOQW4dWZoHjarMUcs6V6U0/KNjVjlO/NOkqeg687CoxfHEHp3F1uNoZYje3moAhgFCKvrl3H3J2vx4Bcb8MJPNK4pNRLUlqNwDfTaemj6LKP+z8wiafZcbFmOLJ/pDray8X3xxRc4fZo9AZyAHcLaobrQThMFyLPVHBmMFb+NTLcsMUd6cVh25J88ZzvzOaoOQ7O8SXCzkSvRL+O2mWsw8WfFQpoO9yT2F0mltIbo1s/nAm+fucZ0mrjfL2PjPrJbRV/h5edWUw+qBhZERdM/ojPLicZ6aQdaIwdrfSHPiHLkMY05ouwvFm8/gt92FQAAvt94EEDZpIK7Pl6Lbzfsx5VvLDfMCXfHx2vxwo/lShXL1dt5NNr7TKOc0CrgJMx0VjsTOfTazKNfb8LD58M/vIQt5ejuu+/G4cPmPlCBfcqmY4c2LvKihqFmY+VhK//OD3ZWqmRzVi1HjCcYJVAz+7LRuq1IR9sZJub8HpoBHiibebSLEKMEGGXqppPkt7/zsWhbHt41me3BE9uJJSldhrrnW7TOa2tauC0PWw6op2trm5dPlqE3hurdB7NBgEW5pP3aVh6Vd1JHOdI7l5MyTesCYn1+Vt1qZm8zreVISVpiLA4XnsOMX3dj3h+HMXrWJmzaf8Lww+zkuVIs/6t87cBwzbyyYqkxEs2sOHPLkQ13s07dX63dj+82HrSdsJM3tpSjSAuwimRY7rXWcqRVIm587zd8tqrM90zOc8TobtI5XPWeKQ5KjtPPPWrmVtPGKYejCZ4t9qHftKXBL08tqpgjxXZa0c4S1sBTLQFAWQ4LtgOy/eTf9PXzu6r4WHU3prXS+f0yswJrNgiwvI8+0jtmUqY2Nqr8GJ1zwSethWOWI6tuNZNqrFgy0hJj0XXiQubzlLA8fzvPxcprQtvGSJgFZNtJHsuaRd1t+CxyJXAcFkVAG3NEOu/bDQcAaJcjKK/LKifOluD2mWvw4+aDqu3KzjG7aoLu+WZuNaVsflkn5ojhLXt1/g5iYLaSSXOM80rpfd3RDiDEmCOlEsjYa9B0xvZjjugGfP3z9fdd+cZy/G/LIeI+0qVNnVe+3MGr83fg2e/VS2D4ZFl3Cr2eDsRz7blSwjtGlEWxTy/wVtctwvAMDhw/i5EzVhPzLvGaYh96vNZyVP775g9X48Dxs+TzTMot9rEHV1dNimU+R0u4BnLeCzSbvatmSqud/F//20q2ypfXbbloR6BePgQAnn/+edXfxcXF+Pe//41q1aoFtz3zzDN8JBOo0GvUNKnpSecGXgK15ajsv8wdn6ILmzZ/BxZuy8PCbXn4cGRnogxG5ZuZybVT3IkxR+YiB/n3wrKFL2/t0RBNalYhHjNzxW7DMtSz1fgEZCvR7v37yClkpyUiMS6argILdZphP9OA/lmb9p/A0//9HVe0qUV11vw/DuN0USmS42OCz1OJzy/rdup6yoZ5zBE9pdSznMxvqn7MEb08j8/ejGU7j2LJ9iPY/fIg1T7nLEf6brWlO47g3k/X4b+EZT5MLUelMo6dLsbZEh+yqyZSyZKWaF85CpdbjffSPGbFma0ZZ2fhWTNYEmuGAyblKCcnR/W3LMvYv38/Tpwo8/l77eIqEj4/fRCoNubIL4d2eoFHRTL5s04dV75wylk2yplbpHxKJEzzy4S41axrR8qOx84UVbuzvkmmarXlqPz3ir+PYvh7q9C4RjIWju1tuU67H6Q+lbLLXpiZ8nH0FNmtpIduW0CZdUh3n44YprPVGC5ZnS5DHzsKJ8szyNMJ9gYYYo5sutW0GbI36SzzYdYXFfn86PDCfADA+qf7oVpynKksfJQj+mPtBWSzn2N0z8zKM3v8dtxqZnhNfWBSjmbMmKH6++uvv8bkyZPRqFEjrkIJQpFlmdiwSXl+QtxqxOSRZecpB6lZa/YhOkqy9TLrvTy0Abw7Dp/E1+v2497ejdE0MyVkv/LM4lI/3luWE3IMLcprf+Q/m/DBLRdaKkc35ojyPrKYzv+7ocxdaZZXxgyeAdnW1lYz3h9nsmCyFgnGM7n0lhDRa4umeY4sxhzJBsXSpEfQzZBNLY3xIERzWWNmbWRuf9rr4eW+U96P7bkn0a1xddMyY6PtR5PQPn67BqafNpPdy0YYvVtGitOxMyWIjzG2RvNYVkcPr8UcMSlHAvc4dOIc9dehNskZ6bRA36Rs7GdLfPhguXVlQ1ueEtqg1EB6/AV/HMaW5waE7Ffeg9kmWXnNUCpyvx8sxNj/bLRUjl48C60FjnS63pm0U6DNsNsRyXJZ0HBGlThH8hxJAArPlcDvl5EYF23aaRecLkatNHIsm9FsNT0xzBRW65aj0BNLfH6cOleqDsJndKvpBXCTMFrXjOZZfnM+XpEFZbH5p4qo+zJz5aj8N/2sQPujcLgCsj+kWPZEi5VEtgFyTWaMObkgc7iWZKFFKEcRwvebDpofdJ7jZ9Up4kkvRMDnzyPgT1mCbmyH6qvYvEzdDMGK3yzTnUkdlPbad1m0xuhbJayfr9/Bmfe0NH2xXctRztHTuHDCAtzao4ElRcvsnKJSP9qOnwcAqJOeiOWPXWp4fM/Ji/HOiE7EfUaz1XQzZHPMc2TmUh76xq/481Ah/jWguWn5erVqF6I1IsZAOXLKaxK4z9tyC3H5a8uozzO7z8r3hDYepqTU/kU6uXCyXYwkM1rbjwYn3Wpeu6W2vkPfeecdZGZm8pJFwIljZ4pVf/tlOcSMTbIcWUZRRKk6XXQQ9XITbHX+Z+0+fLxyd1lVyrgM3a9ruvK1HRx97hVNOYp7qMrDpDjGqGT1jEFj2XnN6OAVUDrj193WgkYZlIv9x8gzmbS8vig0GBsIWI70lCNyWWYDLcslqxYsJZz456FCAGoXCqvliAWjoFun0rME7v+Xq/cxnWdqOVL8pm2HLIlm9fDyUhi0MyKtwHv2nBKvKUe2LEfDhw/nJYeAI8fPqC1HpE4jMIjb/ZIIEFCKVMqWjsmb3l8v42yJD//6ejMA4PJWWVSdN+0VaV90q+ZvqrXVDM7XTvWWJAO3GqeoRZ59nJVOjbWTPVfiQ0KssWtNb8zz+fWVIz0pzL6QWa5ZGQNodNk0Mzp5uB6iDdoQy9JDLASum5Sg1g5qtxrdOSwrCOjXS+/CC/+gb+BWs9l+aNZ2s0q4ZgDSItxqEQ6pn9NajkhNjjSV3yp+WUb/aUtxptiHTEXch14MBe1L8NCXG1XuxFNFpZprsefO0loHrCoefpWxTDGVn/p8tVUtCvpB8bwsRzwtBLzzHJE4fqYEWWlmyhG54zaaraYbkG0ac2Tt/hkNTj4KC6LTlqPVOeREp3YJXE9Rif7g+vjszczlKp8DbfZmHpYjj43jKgwDsr1sOXKsZGuIJJAViJ2HT+KdX/4OmapLmiETcLPxGCTPFPuw6+hp5Baew/6CM+X16liOaAcWbZyVrCnTrv/bpznfquLBM+bIdKqtiQK3r+AM3qFYhoTnB6C1XCxs52gVfhJ6HbfPYLaa1Zgjqxhdtio9gt75HGQwshw5ReA+G62F9uWaUJcbS0A27TPjEVRM2+YDluBwYuxWs2k5cjDm6OMVu7F2tzPKuRWE5SjCUb53/aYtJR5TZtrVuJCC+/iiDKRWKUc2p34HylN+eet1crSmY14xR35/2f2VJEmzZArd+WTFkXyymYhXvvkr1dcdTxO2laKsWI7K6tI/Ua9MQ7ea7jn8Yo5oz6NyPXN4bkaz1ZwicGmsLi2zd1n5DtNaNfi41WwX4Rh2ZquZYWttNRPeWboL7yzdFZKY1C2E5agS8Oz3v+O0Zno/z/5ROdAqOx7le6icamzdWqX23+uZx6ktNpxijp774Q90f3kRjp0ODYQPlm1wPnEJF123WmhJyk0Fp80tLGWyUR1GhTpInvaLmk2A4zYsR35Z1rWUWV141mrshpFSqlKOdMrn8dzMsiA7QeC6mZUjk+tV3jNa5YhHXJXX4mOUGElmV24nZ6t5DSblqKSkBH369MGOHTvMDxZ4hv9uDE0DwNOtxpywzmKVewvO4PeDhcG/i3Wm5NLObtKa4a1ajnILz+HQiXP46PyMugC0032VcmzLLTQ4kn55BzOcijla+Xc+1TmsfWxgcV4jt6LudH0/2a02a81enC4iBwibLh9i1XJksE8de6Z3vv3nZjSV3ykC94s1INvsav0E5cisbXOxHNkuwTmcnK3mZBLIAOv3HsOibYcdr8cMJuUoNjYWW7duFcuEVAAC/SOPps46E8jq18ttM9eq/rYbWKmNObLbrLVfVbQzAZWd+dXTV5RtsyeKKTy/fJVlDX9/FdU5rMpZuUXNwK1mEHNE2vfY7C3YcoC8bIV5niNrGLUJ9ZIsOvXysByp1v8LzzBv3XLE7lYzU2zPlXCYMUd529wwMBm71exajpxzqwUYNn0Fbpu5FvsU8atuwOxWu/nmm/HBBx84IYsgrPBTcFk7cl4fH8UMX6GkZVZ4J3Ir8ftVHw6018kiB6/vEq5uNUv1MypHFMfoKTR+P/uzNhsEaOTPqBLPVKe6SrYPDhaUq2eEwxIAKAKyGZSjPfmnzS1HigO+XLMPfV/9BbvzjZO5Vma3ml2xw9VeAOCwSbZup2EOyC4uLsb777+P+fPno3PnzkhOTlbtf/XVV7kJJ6DA4mgZtBxxaOv6HQWbu42V33bZm9mgtfSQFCgWfD514DvtgEwahzfrLcSpKXLt7gJLmb15dnGW1lZjHJ8C99XKTByjJJB6mC4fQlFeXHRoezIaVOUwWI7yCs9h+c6jwb95uJhoCDxvFsXkyW+3YnS/Zibllt+QjfuOAwCe+Har4Tk8rtnTypGFd4SWcCpHbsTGKWFWjrZu3YqOHTsCQEjskXC3RQ48HxXrVHavZJfVym3braa5MFq3mnYGyImzJXj7F/PlIPbmn8G1b6+kF1ApG9fZauxlsZ4hB/9r4JbStRzpLx+ih9l0b5pHSzqEdiq/bhyfTbW25+TFKgUlbMqRBbdaWZwZvVstwJli8tJDAXgkovRKH0bCqI3YFdvJtdW08Ep4axVm5Wjx4sVOyCGwiNXmE2h4PN5xPSsA75gj3vBOaKZNKkl7ndr+xmgRUWV/8deRk9SyaXE9CSTrvZcDdekfopvnyK8/W421rAA010w6xHC2msKSqXuUzcemtdyEa7CzohxJMLeUkdrR1gPGkxp4WD9oS3BjMVXaLOxWCOdsNTfycSmxledo//79kCQJtWvX5iWPIExIQbcah44igixHvJcvUKIdUKljjjQjN/XacDbGNZ7pSqzlOWJ0c8ky1u89ZphhWTfPkayfBFIP0wzZFA+XNDAqt+w6cgpJceVdMFVAtmmtbJSELeao7L+skyjMpLPygcNjyST6lBW2q2LG2TxH4bsgtx1RzMqR3+/Hiy++iKlTp+LUqVMAgJSUFIwdOxZPPvkkoqJE6qRIgKcLVNet5nDMkRXGfLVJd5/de1LiU+dhou1ItAOU0WlKGe10VHxnqzlf/xuL/sKB48YpGgzdaoxCmn0h0xRHOibQ9gtOF+PSqb+o66RaPoTvu8NrbUUzypcPYZhEIVFYjiy1PfZzQsugVI7sV8WMUZ22M2Q7mARSS8S51Z588kl88MEHePnll9GjRw/Isoxff/0V48ePx7lz5zBhwgQn5BRwhiZDdnxMFFUApd7HoL7lyD3lSLnyuZbA6uhW0Q7OtAOZdmaUYcwARVwKDXyTQFqIOWI8xUwxAspzIWnxyxZmqznkVgtsI82oIiUDpSnTDo9ZWM/MCoFLY30OZm3LyjvAY5aqmesugCsfggZV2hUnnJfjtp2FWTn66KOP8P7772Po0KHBbe3atUPt2rVx7733CuUoQghaIDg0dt2vXJ3ji0v9ruewcIJSv6xSbGgGdICUH4muPjuWI7djjsI5ZFiZrXb0lH7cF0B7zaHHBMQgfRWHa201JSsok3baxUobkSC55lbr3bwGlmw/wly2Fnd0I/1KvRLvSYPbMUfMullBQQFatGgRsr1FixYoKPDOonGVBavth2aWJG3Z+rPVyNt3559Bz8mL6QqPILQWoJEz1lCdp71/xp2b8rc33GpWigpn7IITriOq2Woky9H5Z0t6/5TH884u7zaB+8UkP4VbzYoViOYcXi4dvyyH/ZkZfVxFUvtxO+aIWTlq164d3njjjZDtb7zxBtq1a8dFKIHzlM9W039baPP+hHOgs0o4XrRSv35HaJSzI9Qdp1/HoRPl1ih7MUeWTw1hZ94pC/WHr8040T6p3Gqk884PXGbvlr7lyPvvGolgnirW80zOsKL40jQ9XsqRjPDHHRnVt+Ow9Rmu4cZtRY7ZrTZ58mQMGjQICxYsQLdu3SBJElasWIF9+/bh559/dkJGgQFWX2Ga82j7h3DFR3idUp/f0r1gUY6UCR+9EpBthXBW73Pg651qthqh0sBgb/Zu6a9XaC6bFwm2VXbtyBCn2nE0p3gXvxz+Z2bkMrfyIeMWbjd15ibQq1cv7NixA1dffTWOHz+OgoICDBs2DNu3b0fPnj2dkFHgBGHIkB2pX7lWMQriNeqwQlMA6B/795FTVMeZ4fYgG07lzK+JBeNSJo1bjbTNIOaIdFxFwerzNo85slSsKdG8sjPL4bcdOVEbt/vBgNvvAJXlaNiwYZg5cyZSU1Px8ccf4/rrrxeB1xFO0K1m0ABpXwfdhWcrWAdvRqlPfwg2uhUsylGJInj7z0PWTeTCcmQPbcJPEiTrUlA5Mvks1W1HEfpS/X3kND5ftZdJSaVKAunQ/eCV6sQdyxH/MqMlCb6wK3nutnUqy9GPP/6I06fLzPm33norTpwgr/skCD9WX2KeHwLCrVaG0YApy7LuYqahAdl0zFyxm/LIUNxWjsJuOeJcHY1LkxhzdF4Q03g+vXfKtFbv8sS3W1TKvRmSZD5AOhXvyGumFH+bJUWdDrxbbgRHuz1+UFmOWrRogXHjxqFPnz6QZRlfffUVUlNTicfefPPNXAUUOEOgc+bx6uongaxclAVkk6/62JkStBk/j7jPan4kO7gdQx/ugGzeQxTVEhSEQwKbzD5O9BOomldbkXBithoNvD4e/f7wf4gItxofqJSjt99+G2PGjMFPP/0ESZLw1FNPES0WkiQJ5ShCkChijmitUvrBo5WrJzf7itVLUsgSkM0Lt59NOJUzv8x3uRSA7hkZWo5MA7L1yqw87xTNbFmn2jGvUmVUHLdauHHbuk2lHHXv3h2//fYbACAqKgo7duxAzZo1HRVM4Cw0ig/t66DrVqMXp0JQYhBzZITWChEOxaEyWY78MvvaajwgzlaT1f9lOZfmvIqGeUC2Q8oRp2Jl2QW3mgM1GqUiqagwz1bLyclBjRo1nJBFEEYCbd3RF1dT+O0XN3SyNtfRLiBLizZwNzxutUoUkO2XXble8mw1WXef2bk051UkytZWM4s5cqZuXu1Flp19n2/rEdqnOqEvVka3GrNyVL9+fa6Llgqss//YGazbc8zSueFY1E/7BXPDhXUdr9NNSv2ypdFLazn676aDnCTSpzJZjnwy+8KzPCBnyNbfZ3YuzXkVDbPLXfDnYWfq5XSfnW7nPZtlhGxzQhlzw3DktgvZ5aXdBHa4eNJiy+fSxBxZzjAJICZKCim7ouvUZiu566HtQD9ftZeHOIaEwzp1dYfauvvCqaz4/e641UgDY+C66RauJdqe7IoVWbh0udwsRxzLIhGulevDVY8Stz8EmDNkCyoGH6/cg+25JxEfG+1I+THRoYtGVgaLo5WvHatKlR0273c+HYdRhxpOQ47Pzz8gmwYj1YYqoJtwjBvX4RaSBDz13VZX6uZpOXJykDdbo48XrrjVwl6jGmE5qsSsyinA0h36K0/beR1ioqJCXlI3vj7CjZWOye34H6cwWoIh7G41N+4xSbkJxhxRWI4I277deCBkfawHL2tqRbqI4MDxs+YHOQCv9rLryGnsO3aGS1kkSH1qcSl/Ddody1EEutV8Ph8OHz6MvLw8+Hzk6cmCyMeOpafMcqRu3JVwwgMVVDlzIhCjr81wXrHfL7uyODJRAaKcrVZ2TOhBxaV+9J+2VLWtor5WtAtfOwHP5rKvwJqCN/W6dqbHkO5Q4bkSS/UZYZbR3Qnc7hWZLvnbb79Fjx49kJSUhOzsbNSqVQtJSUno0aMHvvvuO4dEFLiFnY+FaCk05shNyxEvl1615DjdfVZTDboRLBwOjO55OL8K/S5YjmQddwrLo6Y9tqIaZN0MyHXbagGUfWCaQXrHTp4r5S6LXp6jL++6iHtdAdx+BNTK0TvvvIMbbrgBbdu2xaxZs7B8+XIsW7YMs2bNQtu2bXHDDTfgvffec1LWSsWgtrXCUk+MQ+acstT/odvcpOB0sbsC6FBhLUcGDzyclpwyt1rYqgNwfk0twnYZMo6fKcbu/NOmZdAqB25aWJzEzcHRC65umo9JUvfthHKkJ8tFjapzryuA2woqdUD2lClTMH36dNx+++0h+6666ipceOGFmDBhAu68806uAlZW+rfMxE+bDwX/vrxVFub8nsu9nriYKJQWk12jdrrcssWotW41dzvxji/Mt12G2RVYeZ/11lyLdIzcamHNkO2CW60sEJcwW00G2j9P1w5p25LbHx16vDm8IxpkJGHQv5dbOt9NBcV91YhSOSK8YycdcauJgGxdDhw4gIsvvlh3f/fu3XHwoPP5WXgxffp0NGzYEAkJCejUqROWLVvmtkgqJElCclz5TLKqSbHO1ONIqefT5mu2ua0c8cCJSyg4402Lll288rx9bqxvJZMVQLe/hsNJVloC0hKt91vuWo7cqzuA0YSGAOGyHLmxfIjbrwq1ctSqVSu8++67uvvfe+89tGrViotQTjNr1iw8/PDDePLJJ7Fhwwb07NkTV1xxBfbudT6/DC0S1MqFU9PgjfK/2KmTFHPhxnRQ/hhfg5U4iXMlFdNy5JXH7XchCaT+eoP0ZVBbjuiLDDt2FGQ3x8ZIUWJJffSpIgfcaq5kyI4Qt9rUqVMxaNAgzJkzB/3790dmZiYkSUJubi7mz5+PPXv24Oeff3ZSVm68+uqruP3223HHHXcAAF577TXMnTsXb731Fl566SWXpStD2+adapuBvCk3d6uPlIQYvLn473IZbJRb5lVTN+7keGdyKnmFCOlPw4ZXlGGfC0kg9dcbpJeDxto1+57uWPn3Ueoyw4kk2bQeejDmKCU+BqeKSz3zrpPuLw+3Wkp8DE4qlCwaKxZv3L7F1MpRr169sHXrVrz11lv47bffkJtbFv+SlZWFwYMHY9SoUWjQoIFTcnKjuLgY69atw+OPP67a3r9/f6xYsYJ4TlFREYqKioJ/FxYWOiojUNbolc3eKatmoBNoW6cqjmvcO3br1DbuRIcSToYTs3vilU7TC3hlsUo3ArL1lDGWJI40Iqclxno2uaoEex917s5WI2+PjpbQpUE1rMopcLT++JgoJMWZD8+k+1vMIals08wqWL/3uKKeyudWY8qQ3aBBA0yaNMkpWcLC0aNH4fP5kJmZqdqemZkZVPi0vPTSS3juueccl23WXRfh+nd/AxBqtdE2zhJOQbyBTlwCX9dd2YKL5X9LknczZN91SSO8u3QX1bGmAdn2xakweEQ3gt8ffreaXgA4ixQ0bgWPvlIAyt53OwqyF2erSQiPRfSlYW2oni1JaeHhjtL21a4oR5G4ttqePXuwatUqrF69Gnv27OEtU1jQPnxZlnUH73HjxuHEiRPBf/v27XNcplC3mnpD95cXcakz8B5JEmngtxlzpPjbjYA+JUYdRko8/TeClwcjr+H2Mw/gjltNx3LEIAftkR65zSGUWY68H3N0c7f6IdtidfxIkiSFRTkq64+t1cNj8oH2El1xkUdKQDYATJs2DXXr1kWjRo3QrVs3XHTRRWjUqBHq1q2L1157zSER+ZKRkYHo6OgQK1FeXl6INSlAfHw8UlNTVf+cxszKcuRkkeF+K/Bs/4XnSrH7aHkuF7fjT4w6jCoJHJcYdNsW7CG84lbzy+FPtPnFavIH1K9/0ccHyRTGYQnezXNUFnNk/fxwBeQmEz6O7u/TBI1rJIds521h10OCZNlyxKOpa9tUJdSN6JWjF154AePHj8f999+PdevW4cCBA9i/fz/WrVuH+++/H+PHj8eLL77opKxciIuLQ6dOnTB/vjrXyPz589G9e3eXpCpD2c61L6HTZk2S28tulZ/8Vm5VdF850t9XhcVy5NGByItYsRzNebgnt/oDCU79LsQcTZqzjbj945X0lnYat4Ik0Q2iblA2wFsXLlzPjCRhRko8Fo7tjRTNh5MkARSJq+3LRLTkh0Ja1oOPW01TjwuNzO1EnNSjwrvvvouPPvoIV111lWp7dnY22rdvj2bNmuH+++/HU089xVtG7owZMwYjRoxA586d0a1bN7z77rvYu3cvRo0a5apc6gDs8Gvu2jp4Vum2i0U3hkACVeCj8ngj3P7a8RJWLEcsnXDfC2piwZ95uvujoySUnk8A6cbaanahGRskuDOVf2CbLPy8xTgprW3LkfVTmTBschohwuVWK6vM/BByzBGHqj3gVnPbCE89KuTn56N58+a6+5s1a4Zjx45xEcpprr/+euTn5+P555/HoUOH0Lp1a/z888+oXz/U9xxOtJYjvX2O1A3J0UrcdrHouVWS42KYOnDDfjTyxl9HsfK1yXJGSkIsaldN1F25PTY6CkWl/vOz1SLv4dBILDn72upyU9f6psoRYHcqf3ieGckarCd1uNxqZbOVzesh9V18Yo68EJDtLtRutS5dumDChAkoLQ1NMFVaWoqJEyeiS5cuXIVzknvvvRe7d+9GUVER1q1bh0suucRtkVRERalfUF6Nc7DOmm0kMy7P9yHw5aE1U4cLvYBco9xLzTKrMNcTgWOwY1jJjcLS5szcB4GFO/3+yFSOaGV2xdVLUaXdPEeesBwRjg2HFZxW6SUpaqTvwOFd6zHXr0QkgTTg9ddfR//+/VGzZk306tVLlQRy6dKliI+PD4njEbCimK0GyZEM2UbmUSe/DgJl/3D/xRj21oqwLwLr08n9kRwXo9sJk+6HdkZhBI65YcNae2I7x6iKQP0V263mjkWW5tnSBhXrsXn/CesnM0ASUe/WSwjTbDXKJ0sOyOYQc6Sp3Uqc1Vv/7Ih7PltvWQa331jqb7s2bdpgx44dmDBhAlJTU5GTk4Ndu3YhNTUVEyZMwLZt2yJm+RCvomrn2vgfTu+j0VePkx9EAStCg4xkPHhpE+cq0uHgiXPE7cnxMbqDkNkAEEuIhnT7a8dLWHKrMZ5idPy5krIFld0IyOYBbZ4jN9xqVMqRTctR2GCQMVz3mzYvHElPIzUb1tmaPGKO+rSoyXyOikiJOQKAlJQU3HPPPbjnnnuckkdwHm1T5PWxYvTChQZk8+sFlEqZ2zPXlCTG6bvVSDNBlLcvJlpCsc8BoSoIVp4zyxmSSVxGQDkqdVAzSk2IQaEDC30Cxuseug2dy8db77oeJAkD27RPQEJ4rqkstonmODrLEavl1BsxRxGYBFLJkSNHUFJify0XQWiMkRMxR3rFkAYaK1X+awA5aD9aYZd1OzhbSYwNNyPpXO8OZ+HHynNmcR+XJW7V3x8YD0o5LKegB8tMR1ZoxjO3Ms/TPFoJkmeypBtBun26bjVJCl/MEeVxWngoR1osfejYvE1ufxtQK0fvvvtucH0xWZYxceJEpKenIysrC1WrVsWYMWPgZ1k4SBCCUYZsXq+jXhun/VIxolezGri6Q23iPmWH4iVTuyTpf6GQBh3lJlIWXbdfaC9hZWBkPYXm+NII6pfGXdECsYpAchrceJtoFDK3FDdWWCzk4bom2vxVpA8QUh/kk2WkMkyG0RZhbeapvfvkdl9KrRzdc889OHGiLEDu3XffxcSJE/H0009j2bJlmDRpEj788ENMnz7dMUErA+qQI60Vx/mA7JAkkIxlRxn445Uvsds5j5RIkAxijsjHB4ixmQ0uEr6q7WDlObPHHJmf4GQwNu+mHB1VbsGlCax1KwkkXUB2ZMA8Wy0MK9SX3V9rMUek5l7ql7H6yb4Yd0ULa/K4MVst7DWqoVYllcGBH3zwAV544QWMHj0aANC9e3ckJCTg9ddfx/33389fykpIiOXI4ZgjWjOuEUa5OVSWIw9pBWWWIzLk2Wrlv2NIAdkMdUdJUkROMafFkluNdbYaxTFOxhzxbsnRUeUv4u0fraWq3xXLEc0x3nnNDWGKcwvbbDU6tH3Uku15OHoqdGkpv19GQmw00pPjqMrVTgawZAWWgB8fuBiDX1/OfjLcz5DNpAMHBtacnBxcdtllqn2XXnopdu2iW9lcQEaVBFLT63GLOdLdLoUEILNaq4y+YpUdSji+vHhg1iHE2rUceUhJdAKnZ6vJANUo4mTMEW+io8rjdP7KO2V6PC83T0aVeIzs3oD6eC+5xu3CajkKj1uNPuhdycgZa4jHBT4QrEpuyQoMoHXtNIs1uu9WY4omnDNnDtLS0pCYmIizZ9VZac+ePYso0vQeATXKr2anFv4z6tTs+ogVH72G9XqpY5UkSXfKNDHmSPE7hhhzRP9Gx0RJCG+2p/ASDiXYdcsR57asdKtR1W8zlxAALBhzCbLSEpEYG42ZK3bT1UtVp3fecyOMnqH2fZYQxiSQFMfR9qWB+DXa9qrtxtz5kIuQJJAAcMsttwR/L1y4EF27dg3+vXLlSjRu3JifZJWcULeaszFHPPJ3RBm80cp6PaUcGewjxhwpZDea6UaDl2KvnMDKc2bthEnvRWy0hK4Nq6Nb4+qYMnc7fBEUkB3NGEPEwx3epGYK8zlWrBrhJCs1AbmF5NxmdoiSwpgEkirPEZ0sdi1H1txq9u6T25Yj6m87v9+v+vfEE0+o9mdlZeGll17iLmBlQtmWtFP5+cUcGe2TNH+zl60bc6Ryq3lHKTC6RmLMkeI3abYar7orAk7nOdI7vnvjDHx6R1c0qJ4MILLcalFR+najz+/oihZZBEXGlan85nW62bzfGdGJ+lim28fhI5K6HorDaF+xQPwOrezaGbzheJdDZXAXbobvwYMHY8CAAbyKq/RoA4X5xRzpWI7AKSDbg5ajyde21d0nQf8LxUxOrZWDNTu2HSUxEhQrp2OOkuKiTZT9sv8661bjW15MlKR/3wjxLm41A7oM2e41UpZ3i9Qn6l1f2NxqoLTOUbaAwAcC7TsZ4lZz4VlGjOVI4DyqgGztPk516OY5kkJfAGuWIzKsGbIbZSSzVW5A5/rpuvuMOnDiLoNnBLC90HaUI7c7Dhqczo0yul8z4vGBagO3NzCVPy4CZgJEGwTuEZMqcnCrWYEuCSQ9TqREsFN3g+pJOseGx61mNPNXJQ9lk/axWo44KEd2n2nEZMguKSnBo48+iiZNmqBLly6YMWOGav/hw4cRHa2/FIOADW3D4qW5G8V08Ig50lM2lOvs0IxRPDsgI4uWBP2X0MytVqZQ2pMrQEo8W6ZlL7km9XAyq+7/3dAeNVMSqNzERaVlMUdOzBdxYlA3KjLkA4ZDQLZTsDx/3pYJlnhA7ZGTrmkTbDuhyRC9NVuN9r65kyHb3n1y+wOQuruYMGECPv74Y4waNQr9+/fH6NGjcffdd6uOEYtu2kM1W82hmCP9lyn0q5R19preR2+15Djc0bNh8O9oilGKZ2dJsoop9zElgVSUIyG002D52lGey3q5dtMIhAMnM2QbddaB/FOBI0h5X3iw+JHetmd4aok2+MAgKeNGcX5OQtPKa6TEU5fHW9dnGZhDJr8Y3M9wLYlC+0xpZQkoR9RuNc0TdkMBd1uboFaOPvvsM7z//vt45JFH8OKLL2LdunVYvHgxbr311qBSFAmp4r2MoVuNV8yRYTH23Gp6Fpqh7bJVwcuxFG80T8uIcYdmlCHbWAZJCo0PYfk+UJ7L+nxjPZY2gxQobGn6L+UpRs8mLkYiHnOuhO+stYYcXb8BlHmOtEggtxM3ul2aBH0JsfSeBN4KHtOMP23dhtbI8NxvpyxHVt1qtM+nY72qdBVQyRAhbrUDBw6gdevWwb8bN26MJUuWYOXKlRgxYgR8PrE8OU+cUjSNYo5Cv6DY0FslXVsuKT+QFjuWEa1JXTIwhbPM3gM0bjXYU+LsWI7sLl3Cm8evaIHdLw9SbbOWOI7ti5n0jAKWo3Doj4641XTbKsm6607MEe/sCLzvI4vlmTm2Mgx3XKKsh1b2oHJkUXaaeu64uCEGt822VD4Jtx1R1N1HVlYW/v77b9W27OxsLFq0CGvWrFHlQBJYw8hyxEuLNpqFYdeVFaXTU2tfSJqBnUaBYsHoa1x/+ZDQbfuOnSk/VyK51eixM4OP9/2xC2lAdzLmKHC/SIcHrJSkgeDtmzoyy2QE72EyKkpCwWlyalDypAl3Yo54L+3AO+bITmlG54brflMvPMtoOaJ9JbVPl+Y03vclYgKyL730Unz++ech2wMK0u7du3nKVSlRduba4GZenZFxhmzN34ytXc8UrN1G4xLiHXCsm8JAAga0yiTuI90rpWuGtM7S8p1HqWVSnspytUauFy9hpbOkPSWoHBFOCFgdSfva1a3KLlQYMU0fERKQ7Zwlw+rsvsTYaPxrQPPg30PamVsTuL/vLG41gsIZIHTWlvPhI3ExUehQrypf5YhxtprrAT9w33JEPUXm6aefxrZt24j7ateujaVLl2LevHncBKuMqCxHmkbMK1WLXjGSFLq2Git6k0+126gsR5w7S33LkYSUhFjc36cJ3lj8l/ocs/shqV1HB0+cw8ET9Fl5rbrVYqP146TcgiS+Jbca5TmBe0dWjqJ0y+If2xI+i4eE0DYpOeRXq189CclxMfjjUCFxv9HH2ubx/VUxhv++oT1u6loP17/7m+45rrrVGMotC4B3lpWPX4qE2Gg6txplmeWz1ejOsBKQzftdcLuPo1aO6tevj/r16+vur1WrlnCtOQivhlLq0w8W0L6MrE09KoouYJQmnoi/W03fclS2n7TPWM6ywcp6h2A1IDs2OsoLH3YqSOI7mVU3UB9pAAko35FgXWNBb9alE5cZHSUZtjGjjzVt5nhJkhAXY/w+272G6CjJ8nR1lljLcKROiI0JKPfmxzLHHNG61SzcSt63xe0+zluBC5UcZePSzvzi5VbT60AkrQCkv03RsRxp3sgYChMVb8uRXqcQ2O4j3F/z2Wr2suWqLEcM58VFR7n+VaWFHIhvxXJEd5yR5SjgDiIqEpx7cN4DgtlsUlKeIxYSGWaQGcU5NsuswlSv0xmWte8h22w1zd8G547tT048yhOjeDottO/YEwMvoC7TTj08iZjZagLn0brVlG3Dz8mvpreUAumrtGlNtg5QN+ZI8zeNW413DIKehSfQ0ZEMamYikGKOWLDuVouC+99VaswsR7TXRz9bTX8ACbSvsHTnhEre+mdHR7JxE98viW3g4vHR8XDfpkiKY0ta6rhypLkuZX1taqcZnsty/3o3r+m4RbJ8Jqa9cgKKcJ30RFzeOut8mXSFVk2KU/1NdRbn++J2DyeUI0+hP5jwijkydqupeeGq1rixSz1VcGXIOUqFDjqDm2YTzcDBO8mh0XpVANkyR2M5shOnpSyfZfCIjYm8mCNqCxvtYZL2RznGMUfOkxAXjeR4a6sFmCmHpCV+WK4pmuG90mtjVRizuQPmA71dy4T2g0tZ3EvD2pjUrf+3MvYmjsHdZYfyZ2yvov+M6obrO9fFp7d3VZRtfl5GlTj0aFKduT7uFrVIiTkShBdtQ+PlVmtGWtUbZMtRtaQ4vDSsDX79S38GloTyNqxvOdK41SiUIzudJY31Srud5G4079DdcauVxRx5LK8Y4QKUiiPvWTKB+04qtlw5IuwMg1tNgnVLidH05bJyQ7exVMVj0VQr10bzoWEHrUWspLT8PtatRl4nLVh3yN/lW0jdrtMupmA8nc1qmtSsgkmaRbdpynzs8hY4VVSqEcqeLFbgnS6CFVuWo1OnTqGwsFD1T2AdZcON0igaPPyvq5+4DNWT44j7SIGGwfWFDKpWBRUbTJdXQuNW4573RDcgu2x7NcJ9Me3QIdkKyFYOVCwdblnMkbdMR2Yrm9NeH21uE6P7HhsMyHa+RydPQNBP5Gi3LrtxVNRuYFn/WVhxJTu9FqB2SSKl7KaWLsZnRXv4xU0y0Lp2KlPZAFvMkRHEj0QK4clB/+bn2W3ytdISVH+73cMxK0c5OTkYNGgQkpOTkZaWhvT0dKSnp6Nq1apIT093QsZKg7JtOeFWq5maAKNXLvQLyhz1AEhntaHJc8S7KzVKAgkAt/VoSHXOmH7Nys+1aTmy6pKLxNlqvMfGQLsj3YfYYEB26L5wZDeOkqxfr/G6XqGDm15Wej1YlBSWNQfNcDpOR+uGr189GSO7N8Aj/ZuZXnNIv2dmMaa839FREhpmsMVtAsocXup6LmpUzVI5Sqj6dIv9EqsVMzE2GkPaZWP2Pd3Rr2UmPrm9i2q/299/zG61f/7znwCADz/8EJmZma5EsVcOnHGr6T4uidTx0hSo/km3fAjN1wtF3ZRUS44zncqfGBeNRjWSsevIaYUMoecM61gbr87fEfybV0A2S4fkdJ6jfi0zMf+Pw0znkO6C8v7xcOeoy9bfF2PkVuMM2a1mL1BfSWpCDArPlbk4JILSxTogsVjT9JpYl4YW4lEcfhik6xo/tBXVuayiUYfPWVSSgwHZim39Wmbi1h4N8NuuVdTlENsmhfAkddvotKS4aJwp9qFPi5rYsv8EtXzDOtbGhKvL4sHeu7lzyH63M2QzK0ebN2/GunXr0Ly5fpCuwBqqFd8dsBwBxl8Oum41g0aqyvIskXOAhMQcUfQYvDrTfw1ojuT4GFPLEUBemkGLMpjcrow0LkkSsQ671axcFeleaNsGXd30X+V6pCbE6NYZFoVJsu7S0+YD0l4DKSCbBTbLUWgb+/nBnmiuE7dohPnMT3vYUUaN2hzpLaOtSWI4VnVe0HJUvi02WmL+wCC1wQSTfFOBelmWD1nx+KXYf+wsWtdOY1KOSJez7qm+uGr6r9hXcNZ1yxGzAe3CCy/Evn37nJCl0qMdqJV/u7m2Gm3MUaCckLJ1lC4jeI1hgZXTzWKOgNAOnNTfKhPcybJsS0GimereqEboyu9xMc661awM7GZuNZoib+xSD2lJsVT1kWS8p3dj9GleAwPb1Cqrk6oke+i5ka24Jq5onYXO9dNV29RLzIRmsS+LFaS/UrsWrZbZ7DE0gPPxX2YfXEa7Wfsn2mvRixGjRTkCREdFMcc3kqq+sEE1XHF+Wr/+eWz1VE2KQ+vz6RJYTiUppdWrxKNlrbI25nboALPl6P3338eoUaNw4MABtG7dGrGx6s6sbdu2OmcKzJBUHaEaq9lfjepQb7eW+VUbc0Qsm71Ye7PVFHPommWmnC9P79hytB0ZqWOLVXx5lfj8tgbgaJViplMS4bHbyaETJZlbIXmtZq9yq1F07GZTrpUEi1Zo7vf2boyUhPL+yCzmQpLsxzXoJb+04kZ866ZOIdtCY/pCLUcsNbGMrzwHJ/PZajatsCYXNrxrPXz6215y3SZ/hxxPKaoEm/2Y4tRoC9ZIojU3SsJbN3VCg8d/0j0vitCmaKtmeZ/0ygxep8umI2bl6MiRI/j7779x6623BrdJkhT8ivb5PDbFOEJxzK1m0MitfFSqBhu9r1hOlggWFo3thbyTRWhyPpGlWZ6jsjq1ylHo4UrFpNQn21IkVG5UhvNio6Msj1zadtSoRjLGD2mFmz9crZDFwvMibFMOWLwtByRly8wFpT0mWpJQ6kAHLEmh7jHrZdFcE315tJYjOfh/fOClcOuWb3JZTw1qidjoKMz4dXfIPqeMWlY/OElERfGLYzOti/hRwb9uvRKDuhH3GtlgVo5uu+02dOjQAV988YUIyOaMsgGWLR9S/jev4DTd6faK/2cqT1L/JrrVmEu17xJpVKMKGtUonymirxvpu9VIbVs5K6bEL9vqNGLUPhNqYmOiuAXo92leExlV4lXb9O5Vw4xk5Bw9TdxHdKsZuCztQjMTx6xriqIxo5mg51bTri/Go3yrAb5KmAKyOSqO5mkxnC0/ITYa/VpmkpUjTe1mt4g6fs7m81J7EqSwrRVopxomt5puiEfZdrdjjpiVoz179uD7779HkyZNnJCnUqNtK8rOidfyIUaNl8GzE0RpHZB0yrDrruOB2Ww10jFmlodSn5/fbDW9eC/Cttho40VBjRjYJgs/b8kN/k1y1+rHnhnVSjLhK/aG4XmGxo6Enqfc5NRgExVlvtAqdVkaGUlriLEo6DQzRQOEy63W94Ka2LD3uK3yqd5DvQvSthvlBuU553/TthtJWxYj2njIcOTt0tZbvo3uXJ4KzeniUttxnXZgfoMvvfRSbNq0yQlZBAqsuNWUOXj0y9VXEiwF4mrKIC/ZEH63mhaa2WraOs06wVKfzO0ry6ic7+/vgVu61Q/+bWfh2ZevaauK7SEpPKTrfvGq1oaDpZnlSLm7S0O2fC0kAjLKqm0axcHk6Tg12MRGRyGem3KkvIehbmvWVeJ5p1SghdSmLmtREy8Na4NXr29vu3ylcvTtvd2ZzqW9IwHrPe3x0VGhAfQsqBX58LnVnGwiV3eobVrPmeKy1BWT52xHUan+cldOw2w5GjJkCEaPHo0tW7agTZs2IQHZQ4cO5SZcZUbbCdK4Ue7s2UiVg4dYru52/aHEyGJAkwXZysvG+wWlkS0kvsOkMyrx+5EgWVtDy0gOLW3rVMWZYh8+WrkHgHWXzfCu9ZCaEIsbu9TDuG+2AChTukMtLqHCNKgeOmtOdQ5hm16wfo/GGSg4XYzcE+cgyzJOF7PHKdIMFKSBSR3kar+R6aV7iIvh0y609zDU9cvmBmH5CudpBSDVWzUpDjd2qcelfOV9CkzCoIU1vxvtPdSGRtghKipUmf+/G9pzKTukLgqXtR5Gl9s8MwUD29TCtxsOnC+TfLBP0e54LJRsFWblaNSoUQCA559/PmSfCMi2h9rFo34JW9QynkI77fp2VCZz44BsetdOeXlk64DqGFOpjMvlgb7lqHyH9vaZiWB3tprabG7sylLuLcuQzTZyfXNvd3Sslx6ynaR0E61AZlmGCScplUtlNYlxUZj38CXwyTJGfLAKv+0qMCybBI1bzen1vPSIi4myNaNQSWjMkXWXB8CY54ijY42YrVwi/7YCjYu6Zmo8cbv2aDNRqN1qjIor6fzy3xKUTapP8xq4sn3t0JM4QLw+B14W3TAORWcRLmsZCeY32O/36/4TipE91IqGulHceGFd3HVJI91zoyT9nBrjrmiBHx+4OHgcuW51Y+3ZNINKZlXb1VNACNtn39MdI7s3oCuXA7xijpQUlfgt9xl3XNyQbQq24obExtBlyFYGj+t9gfnlUAsB6bqjo4zrJJWu7Ni0buGoKOl8Mkv9Mo0gxxNpXU7Gx/DoeEklxMdEIT7WGbdaaJ4jPSnI0FrLZFnmajmKMfUv2XsW6nUKycc0qZmCydeGppphfocZLEe88hxpY45oFu+2XK+D+gjFcKGKg3RzwpfDEywFVtG2iZjoKNzZU185AvQVirt7NS5P0qXY3r5uVd2y+l6QSSGlNm5GTwEJ3d6pfjpuv7ihfrl2OkvCqc8OIS8loBRt3MAWqn1mY2dRqb7lyMxycOkFNQ1delqUe+Mo11a7t3f5pAmWIGuyomNcF6l4Gmud1QGYPJVf+7fxPR3etcyl06WB9RgoUhWx0VGIZxy82um8i2YzKFmni9PGwMjg61ZjCQS3Au11/aNz3ZBtRoH8JOsZ7ZVoFw8nYbQwrfbDTdnmlR87NVLIFjGrkBZOduLp6d0bXjn97GJJOfrll18wZMgQNGnSBE2bNsXQoUOxbNky3rJVOrRadYi516SFUmnZikNUGYyhHkBps7FSJYG08Gbx/mDo1rg6aldNJNUU/NWpvnqQNLUclepbSlktB3o1BboJpSi0y4fQfLXSzlaLjjJ25ZGUWRprnVXXjeWp/IpttasmYdsLl+PtEaHJF+0QFxPFHBc29Tpy8lztkkLEtdUY6kmOY46k4ILT7hHWbOxKCCuJGR9PWT6N5eimrvUxqldjHbn0y1L2zx/dql6w1S52Xbd6aL0TeuOV21P4AzArR59++in69u2LpKQkPPjgg7j//vuRmJiIyy67DJ9//rkTMlYazBoOj+5FHWOjMvvoB6tSLh+iJ1+1pDhGKZ2ZSURSWLR9tnKWkZmyea7Er3tMQqxxQK42AN7sy1dZD+3Aq17bjHwM6SONJEu0ZOJWI5SvHLD0lDnSZppHb5ZmQf8Y9e+E2GhuuWgCxMVEWZjKb65Iaj9gAvtpXQ/9WmZSL8/CG5Jbl+cbbnWdQsDYcmRWl3G55sdJUtnq9OSdmnp1LEd2ZsT1bJqB23o0VIU4OKvGlqNXD68cbnZhvq0TJkzA5MmTMWvWLDz44IN46KGHMGvWLLz88st44YUXnJCxUsL89UN5QnJ8+YuofanUyz2w1V8mA3m7biBkuN7CAIwDsbY/f/DS0NxeeqcnUFiOjGLMAgT6CeXe2Gi6mCOaDNVkpYVkOWJ/WDTxLVYX9iQG+FIcQzrejguXdPviLEzl17tVobPVrCsZ/+zKNjOMZxJIMzco34Bse2WZQVu8nhzKtBxGqRi0SYGjVf2zvYvs3rg6AOCR/s3xzJCWqFctqbxe4rvF56aqytb9YItQ5WjXrl0YMmRIyPahQ4ciJyeHi1ACcrvhEZxWXzEl+2xJeQ4J7Uuq7ISNXB+qRH86rb1mSgJxu9H1OKE4kQfi0C/xAMp70DwzBaMJeaT05EwwmcotSRo3qtlArjggnnLhWaNg8wCkjojU75oGZJM6VL1OX9m2LHaEgcFBeXqIBYDQHkn3XOIceRkbzZ4EUu/5qJ9FaK4bnktUKJFlvkkgnQ6spUkpogdrfA2LW43EA5c1VVWmV5z6/VW3hRhVSAT7vf3k9q5Y82TfYKybrteAIAsvaKbyuwlzt1C3bl0sXLgwZPvChQtRt25osJvAGqxuNdq2m5ZYblY/cOyMoj51GbRfJjQxRzV1AgaNaghfNljN35oZIgFqpsbrPBOynMwxRybXq5TFSsyR3uMkutWIMUem1YWgXv6GjNV+kJzFV1/RJZbBPNcrtGyyW5BdOVLK8JBi8NS2r3DmfXH6A155bXavShs/ySaH5m+ThkOd5yhKzwrDLpckqS3Bdi1H0VGSKpBbWRptvCkrkqQOJtB19UdqQPbYsWPx4IMP4p577sEnn3yCTz/9FKNGjcJDDz2ERx55xAkZKw3KzsgsLwjLPi0NM8qsR5c0q6Epg/zyGXWSVDFHyewxR3ZeT71zaWdmBffRfI1atRxpztWVOZiVt/yIWMrZajQxRz5qy1GU4SwSs69XpYVKeaSecmEGTf9NtmaFbqRRxLVuUrNz+rfMAgBUp2z7yuL6tcwkbpckcuAx03cEw7hjFixPnuDgDjRT+fUwOp7YPinL1bcGKrYbWmPV/U+0Tn/E+zvSjuuWBb0yveJWY566cM899yArKwtTp07FV199BQC44IILMGvWLFx55ZXcBaxMKJsE2SXAp4n+8MDFyD1xFiv/zsc36wPZSjWmVcqvB7XVP/ScJwdeoJuTg5eyRwvRrWZQEY3lRW+7WUA2AKqvKNL+2Jgo1K6aiP3HzjKUT65AluUQKwfp2GhJMuy0WJ4X5dhgCFWGbHPTUYg8eqx+si8KThWj9ytLlKfqntsyOxWLxvZCzdQEtH52rmn5em1B+/ERY8NCwpt5oy/BriOnMeSN5S5LolUa2e4MTX4s1X5ay5GknXZRvj2A8QxQ9W+aD1GraNdxcwyaD7ZItByVlpbiueeeQ+fOnbF8+XLk5+cjPz8fy5cvF4oRb1i/fhhOqBIfgyY1U0Japyogm7IDUH3ZEvZnG3xdGsnshFuN9YMkSufaaPz9dAHZyrrMTPnlv+OiJXw48kL0bJqBbwzWkTJ7NgDg9wONaySrFCSSKNHRkuH6fkzKkeI3izVvcNtawd807cPsCzio4FC8O6kJsWiQUR6vFyjbqE01qlEFVeLpvj/Vz0oxUGkW73XK5UHC7H1Jjo9Bk5pVLJevtYrZgeW+aJfdCHGt0+nU5jLpGZsVz1QmLN9DlEPStgV2eYxQ9UVOudVC/tb7YHOkemaYlKOYmBhMmTJFZMJ2COVAESWVzy4JzCzg/bmgevck7dRyxdcNrVuNNKgavGhGnVAvjcuPB8SEbgYy6AV5Kq1CeufHm03lpwwCLZ+tVn5EbHQUmmWm4JPbuxKXBAlAs6SC//yq1xOuaq2QhWw5MopzMlMw9E5lmco/qE2ocmT45U0oRz0gS4b1GeFkSJxyEDS0HDkcl8ca9M8KT/FZckxe2b42GikUXVYxaKfO6z0fteXI4HxVTJZE9T5bRdX3O9iu1GMO+RiSq98NmGOO+vbtiyVLljggikA980bCg5c1xWd3dMX7t3Q+v03/XLvtWZI0bjUG03GwDEI3E2sxM273Jhn4elQ3S+eyYDRbTe/rTBlgrnebaAJntR3F3Icv0T9WcTBtniOaDo9kDSIdGhVlHAtg1lyUipVy0EhJoPfsK92zVmOOVPspjyPBfXDSsRxpB9hoxcjMKoEMejemDL7LhziNrWU6mC1H9H0jUUFX/Da8x5q+SM+txqUpatxqTuhHIfdZ5zivBGQzxxxdccUVGDduHLZu3YpOnTohOVm9WvfQoUO5CVeZkVA2GPRokqHaxrUOTYHqPEd0XzdRhABRJUZrAJldT2cbyzqQYE04qGcVe3tEJ4yetRGj+zbDzBW7dc8f2b0B9hWcwZIdR0L86FplVJIkw8B1pSys2Ze18iuhncofExVl7FazKMtLw9rgvs/X62YJVqJUtGlijszi9gJyWBlYeXse9GI+tEH1MSbvG1/4ZGHXx/jDioVSGwOq9hVQLW9DOJ72kqMk8vmhiTzJBWo/zsJl0bG3HpzJfgpfakQHZAPAq6++GrJPkiThcnMQw7xAVsozmEpL63eOVuU5CiXWqBzHO3c1rDNPtDlmAjTLTMFPD/YEAHy0crduXeOHlq3n1vTJn0F6K7T3n/R4g241xb64GLobp1RM9TIjk5Wj0PLtBmTrnVm/ejJ+fKCn8cnnUS5eGngXjF2+xuUFZLbSDHkPVHozC1UWAqhjjnhN0NCDRt/gdRvslmMniJfWjcMcsxglEa0gymulDcgGjILOebdF6+UZGsJoLUfe0I3YlSO/329+kMA2ZuZYmuNZ61Dl0VD6xQ16BbOYIydXj+aBVua4mCicKS5TZcysYrbq1fx9rtRv2Ckp99BajmKjJXx7b3eU+mWkJugpRxTCoSwg23hwoNeOTL8uIYHUzbIuk0C7RpSV2J1AALtSyqnXtUOXhtasnXquNO37pXLXhvnjwoxnBrcMSQ8SLkptjEshipXJfaVfPsT8fOPEqupnT5OawyrqgGy+Zavq0alTiVcsR1S3oVq1ajh69CgA4LbbbsPJkycdFaqyooo5stnzNc9MQa20BHx+R1fdY7QNVWVapXxBzDLTdqxX1aB+8jVOva4dXeV65TLcOq3MH9xyIWqlJWD6PzuqOyfK81lQnrpp33ET5ZfdrSZBQod66bjQwD1Jni1mbjm66SL1UhRMt8HiPaONg6OtJnCdWgtTf0WeIS1vDu+IWmkJwThAJVe0yUJdxTIMLOhZi7QDMcmdyDKWsGQkpzk2NjoK/Vpm4qJG1XBrjwZMs9doHyfNjD+fjW/2Uk1KZj2xAkfRyq3XvykfofEkB3VZNMsNWUW7VAmJiVe3QXYaebWD8nLo6iD9HcArMUdUvWxxcTEKCwsBAB999BHOnTvnqFACMsYvpXpn7+Y1sHLcZeiuiFkyLk+96rNyIDLq8I1iPx6/ooVxzJHOqdd0qqN7jh1opo13qp+OleMuw8A2tai+1Mw6Uj20MUdGdWj3UcccUfSfpK80moDsF69qg4f7KjM5G8PU3ekUViuNLemgeabj0ONWP3kZ2tRO0z1nUNtaWDnuMnQgzBK0M2DpKUTaSwhnniPaZ/bezZ3x5V3dHJs9R+Ph9/G0HJlA+5xJ73jZdinkOL3zzY4x20eLynKkU97wrvWwYtxlaFBdfzxguZN6cntlthqVW61bt2646qqr0KlTJ8iyjAcffBCJieSO6sMPP+QqYGXCLCMtU+dr082mVHouqJWK/7uhPbKrJuK6t1eqzlEHj2q/DLiLyB8DIWhW+tZ7wem+0Om+pLRH0i5qSnN/SQMD6TxSQLad9aysUK96Eqb/syOqJtKtLM8i0ie3d8HpIh9qpiSEIdCZgM5AqP1NypCt5aaL6qFxjSrYuO84/rvxYPkOJgtTOJYPIf/WQhP/aCcgW3uu2dp/tMH4eoepLEeG5+srwmYyzBh5ofEBIXUpy3buBdCzkCrxiOGITjn69NNPMW3aNPz999+QJAknTpwQ1iMHqJOehMY1kpEYF01MIsj760E7c0ftVlMXeGX72sQyaNZW8wrk8Bp9oZW3QG+tNKuWI+KZhE2BztnKbDUahYV6Kr8UOlCwzNhSnWsy6hoVO1CR68gMs5gj5f3p2bQGcTsLdtq/NqdNAK0CGk0RkJ2eFIdbezTE+O9/ty4QrC8KTIves9BC4061E6eitTqZftTRKkcS+brUyhdlPQbWJpI4rbJT6YQklGemHFFmH2CqU4lX3GpUylFmZiZefvllAEDDhg3xySefoHr16o4KVhmJjpIwb3Sv8zOX2HpaS/1yiFunfANtfIfRgo+mMR9h1qZYp/LT5OPhFXNkJosSq7mjSLTODnUhEafASxIhHQG9i8eN7k6rvF3YIN3wa9xN9KxF2veLxnJkhNlziImSUOqX0bFeOpZsz2OvwAFo3rFsRperEiOr00WNqmPF3/laiSzXpYVWAQ3tW41lsNMvlS17Yg3TcAKKkiMqIFtJTk6OUIwcJDoqfEsEaM3aep2yEUaWI7MXIdyDEzFDtsHxymurEk925eieTzMN2qA+LcoOPJaDW23Owz3x4GVNMbZ/MwCadf30vug012R1oGbp+praWZ5Ccwfe/GdH9X4dma2OK/YsR+blSJI6nYEedsaWuaMvwQOXNsELV7Z2RaElYZZQ9bHLW+DSFjUtl0/KQRbg3zd2CDnebkC2EtngOKOYI3V7MbaQ0qBdssaJZx/6MUgWMiLXVhO4C62Vg748tcneiossnHlXaGFZs8foOpV9sr7liEUy9XlGHV6AgMjKDiOO2q2mv69FVirG9GuGZMJMINpLUs8qp78RZoO3Uu7BbbMNjzXqSJXl/KNznZB4Iv3ZROrtk69paygDD9SLHJN/A8aW2gBGsYt3XNzIUI7GNapgbP/mZXmxHI85YrdOk7ind2NbimlIzJFCrowq8drDucbkaN+FK1pnEeUIwUQEZhlN3Gr0CqHJfopyPKIbCeUokuA/fVP/b9qXS+nhYXUTeSFGiXbx21RGt5pZcD25LP19JYq5yvQxRwx1WziRRZlmsWYon4mZib3YYA63UibSrEldC43i9zODW+IfF9bVrUO1LIqd2Wo675FWAaVZfd7olrWpk4bN4/tTyeSRMYoyrYj1e88+W02f2pqFtlndzdMV1k0jRd7MPcx6N7R9vxNdc6hrkHxcxLrVBO5haDmyWza0nTL7AMleZ3i1I9alAJT7UnSSKFq9AgnGHZ4W5dctrcuTyZqjkY2qfIZnb7XDMzurxEA5UrbNgGtG5Y7QOU95WWmUM+O057GiF4RtlARS33JkjF5C0JByFM8sPSkW74zoRHUeLbT3izW/FSsheY4sfNSNH9ISw7vWw0e3Xag+TnHs8K718OMDF6vO08Yc6cXxaes06wJY+2W95Wt4o37/yBUJ5UjADEubpRkYtV+r2oysNERRfMnqC8B2uF3Ylw8p38vqVlPWdW0nfcuDWVmBchrVSA7daaE8nudZzdjLMxFhcSmtcsRiOWJ/D8rOIzO6bzOmk/UGRQkaxZjx+bJaM5VHb3imPwa0ytI91gpGg78SmhjMjvWrAijPXM4Cj9lqDWtUwcSr2xjmhJt4dRu0JuTQ0o8x01eEjeKRiCeYoLIc2Uw0ql+JZPRnEK+41ZiXDwHKlhD566+/kJeXF7KcyCWX6K8sLnAOKwOhkRuM9ush2vAF9oDfTAXbW6dyq+lYEGjim164shUWb8tDbmF5+gtJkpgGq9SEWKx9qi91jiOA7euR5otOC42LJ4Cs89sMs6/IEp/+fqVEgRl+NGtSWbGghpZdzoOXNcFVHbLRa8oSg3PJ5Uga7cgsOBlwPj9RuKGxHNVMScDqJy9Dchz7kFY1SX/BZxLEAOjz/40y6A9JyLKBBVPxm3WSDqv1R9lknMxzpPcRoCSipvIr+e233zB8+HDs2bOHaBIUC886h+HCs1aUI5XfWtK8FJRuNeXCs6xfKx6wHBmx/9iZ4O/mWSnEY2iuISY6Cm3qpCH3D3VusJDVwE3KIgWHAmVxCv/bmov1e47hwPGz5fUy9JA0s9W0sEzlZ9GIlPWbPTMjy5E65ojgVqO4Th5tVJIk1K9ubPnTk0v7CKMIbjXtPdJTulnd2F5RspT90u0XN8SBY2cRFxOF7zcdVB1XM8V4aQs9hneth+d//KN8g5lbjbRNCpWVBiuxidp69FJvMMmheNikbsOJvrrCxRyNGjUKnTt3xtatW1FQUIBjx44F/xUUFDgho+A8vNun0Wwp2nHV6EvJ1DxNV4VrdD6/Jlntqom6cRq6bjVNpxeiCCFUXyB1rDSd58A2tfD6jR1CEodaTQlBn8ah/DebW43+WLOPSGPlqFyoaJJbjeI8lkHGTnvWjTXRfMDE2HBjs7vV+A5S/QzWrKON/atfPQlvj+iEdnWrcpMrITYaTw68oLw+kydJthyFKt80ZcmykVuN/JtUjxZmy5HiUZv1G0bv70WN9dP8SAhtzyQ8Yjhitxzt3LkTX3/9NZo0aeKEPAIDmOIfLFhxrLgTjFwr5oGN5QekxMfgZFEpVZ08MXoPO9VPx/f390D9avpf/fRf46E1kRQmnlgNZE2MjaY6jmZ5FRLmieIUx9qYraYkGJBNYy3S+W16no0HqP4w0Xf3UeWWOn/L7Ga45v0B/8bwDvj9YCGGTV8BgF65I32AJcXRtVFaaD8IyuQhbDuve6uN7xIkyfgmluU5ImO40KxJfCizlRBKy5H1htwiKxVzHu5JZcXzXNSFBmbLUdeuXfHXX385IYttGjRoAEmSVP8ef/xx1TF79+7FkCFDkJycjIyMDDz44IMoLi52SWI2jDqTENO6hY7NUp4jC+eQyK5qPcOtFn1rDjtt61Qty/nCCF0uH/2ZKrTlqI7V/M3S4SvRDjxPDbqAeByL5ciqFYKXiT2GkFVc732yahGzm5XYrE4J6sByE93INrw/4ONjotGRsGAviYYZ5R8kpHY8rGNt9G5eQ7dtsqJsH6YfdYQ7H/gQYXI1g/79djpkQWU5sqm0tMhKRbXk0Dgu7Qe492JS1TBbjh544AGMHTsWubm5aNOmDWJj1QNH27bOJ0wz4vnnn8edd94Z/LtKlfIMuz6fD4MGDUKNGjWwfPly5Ofn45ZbboEsy3j99dfdEJcbVsYQo8ZpZSq/9gzSyuWq+hW/SYMXLVe1z8Z3Gw+aHufIWlGUihipau6WI4MM1iwkKpSj/i0zcUdPcuJAli9M9dJqxs9B2S67N87Ae8tyqOvRI/a8UkEzeKmnNfPrwLNSE1RB+eo6yfVr5aLJ+aN3fz0SykFEq3B8fFsX9Jy8GIDGzXP+3sTHRGPmrV241U8TSB24r6THQ3rXaJqObGg70ueihtUM97M2W79KOZLYC7CAXg3Xd66LWWv34TIbWc95wKwcXXPNNQCA2267LbhNkiTIsuyJgOyUlBRkZZGnnM6bNw9//PEH9u3bh+zsssy7U6dOxciRIzFhwgSkprIt1udlaKa0aizATH7nAKrceudfqGWP9sH+Y2fRniEugJSkj5YHL2uKIe2ycftHaw2PI40NdgcM/Y7UQlk2+yNeliOlW81IJpaZOVZvc+/mNfDJ7V3QtCY5IJ4WsuWIfKxmghg3fnrwYmzefwL/XrQTG/Ye1z3O6J6rLEc6B3JTgpzOkG1goVP2PzayF1BDM3khMBOOdKStNRZp0q6c/++Kxy/FriOn0b1JhuHxrEq90kIbpR0MNFi1Amsl0rvlz13ZCv1aZqKbQfxSOLC0tpr2365du4L/dZtJkyahevXqaN++PSZMmKByma1cuRKtW7cOKkYAMGDAABQVFWHdunW6ZRYVFaGwsFD1z2sEmuujlzfHBbVScfvFDU3P0b4/iXHRGNIuG30vyER2Gt3MD9IAWbdaElXD9ilewFgbttz42GhcdoF+sKeT0HaK2u5EgkSYrUZwqzHIonVBWZ3Kn6SYDm2YQVylGFNXxYQkSejZtAayKNujHlYzZPP8gK5eJR59WtQ0XcZG+dyUA5EEtcJ76nyMHm0bYbcmuGdqUnYHTieBBIxjJ2fceiEa10jGx7d3Ie7Xnq/E9KOB0a2WXTURFzfNIO5jqTdEDsXvsCWB1HmuCbHR6Nsyk7i0UThhrr1+/fpOyMGFhx56CB07dkR6ejpWr16NcePGIScnB++//z4AIDc3F5mZ6kE0PT0dcXFxyM3N1S33pZdewnPPPeeo7HYJmHzv7d0E9/amC5YnzRx4nbDQohFRNAGiOijXCOvXMhNr9xxjKyAgA2W9YfSqEeomBGRz/jTXVsHiqlSeqnSr0VuOjOtSDrSm8VjGuy1BUr51ZWaYrWalTZX6Q4PIzZaDCIiltHDozdTTE4lV1sFta+G7jQfRhpC40Gn0MoY7pScZxRz1aV4TfZrX1N0PkBU4CZJ5LB7lQ2ENsGZ2B2stRw7caNYJO25jSTX7+++/8dprr+HPP/+EJEm44IIL8NBDD6Fx48a85cP48eNNFZM1a9agc+fOGD16dHBb27ZtkZ6ejmuvvTZoTQL0gl5lw05w3LhxGDNmTPDvwsJC1K1Ll/XYyxiZtWmJZhggtSTERuPzO7sCMtC1UXVkVInHhQ2MfenPDG6JxjWr4JYPVxNlMMIJBUW/atngr1A3Jg+012I1XobWrcaSUV0Vc2R2zx3oNIlf9jSWI/6ihCxXARhYjhSH0gy2ynPsBrxOuLoNujfOQF+DKfh2MF7XUHGcyq3mzIhKSvWgB0kChtNV8AjIJqYWYLYSlv+OinJubTWraTLcgPmRzp07Fy1btsTq1avRtm1btG7dGqtWrUKrVq0wf/587gLef//9+PPPPw3/tW7dmnjuRRddBADB2XVZWVkhFqJjx46hpKQkxKKkJD4+Hqmpqap/XsMtAzjV1GIDujfOQPcmGYiOknBNpzqoV10//T4AXNOxDhpqEuqFfJHonOvEPaK3HBG2WTyP9liWmCO1W02hHNEOYNQ1OYNZ2yPGHFGUZaZgWmnz2lXgtbLolinRzeoMKJ/39m6MminkxKEf39YF6UmxePsm/fXSkuNj8I8L6xJnHvFGe8nqHFXOty6lZdGsNtKgbnUle5nyOFbsJIEEgKs61KYOrTBj/JCWqJ4chwlXt1Ftd7vPMIPZcvT4449j9OjRePnll0O2P/bYY+jXrx834QAgIyMDGRnGwWd6bNiwAQBQq1YtAEC3bt0wYcIEHDp0KLht3rx5iI+PR6dOfBdVDDeWAoCVvy22VKeCV/UrDN1E3Xk6oB3pDZ6hWYvNj+ENS6yGUhTVVH6jL1alK8jizDW7NMxIRs7R07i0ufHMFvLaanpxItYsYrSUEnIz0d6/2OgodGlYDatzzBPu1kxNwKonLkPDcT+H7LukWQ2sf7qfq1/vRjP0olUB2eFwqykD3Y2PJXU3TitwhqsjcChf24yrxMdg6aN90OTJ/9kue2SPhrilewNIkoQ1u8vbrccNR+zK0Z9//omvvvoqZPttt92G1157jYdMlli5ciV+++039OnTB2lpaVizZg1Gjx6NoUOHol69egCA/v37o2XLlhgxYgSmTJmCgoICPPLII7jzzjs9aQ1yGh6NMzoMHZeSKII73E6/ZHug1qmbyirkcMwRj6n8JZTLc7DUxJIE0ozP7uiK7zYewPAu9QyPi7VoOTJVjiw8Q5LlSPmo1AHZobJo19fTfvWrXHFGg6rLo5NR7cp9pCVTeMMSn0e6bbqJOykyZFPVSXeYZUhZqXm2D6Os4l6F2a1Wo0YNbNy4MWT7xo0bUbOme3kJ4uPjMWvWLPTu3RstW7bEM888gzvvvBNffPFF8Jjo6Gj89NNPSEhIQI8ePfCPf/wDV111FV555RXX5OaHlYHWerxQAJVbLQyNnWjSplQCnHGr6VmOzHL50ApkXWqrypEyDYRRBmoelke7ZFdNxL29m+guHtqlYTUkxkajB2Hqs57MaoWfz+CmxEdyq+l8ZKhjjsowW3z41h4N2IXyGEplIwxetWAerDJMHWshWxhC2lTIMI53pYHHu+dIDjgCKqXX27oRu+XozjvvxF133YVdu3ahe/fukCQJy5cvx6RJkzB27FgnZKSiY8eO+O2330yPq1evHn788ccwSBRe7ObVse5WC69fjWw5olSOHOgAaO9b88wqWLrjCPf6lWinXltNHaV0QRmtc2S4vIEB4Zwh/uWdF6HE70d8TOhyE3oyq2YumZRvZbp7CSEgW4n+8iFl20nXEmDbC5cjgXL5Fy8jKdqu27PVtNC61WgmfdGuI+b0xwcxvQTDsVaocG61p59+GikpKZg6dSrGjRsHAMjOzsb48ePx4IMPchdQQIc9u5F1lANwONp62YwdTXwCrXJEuY1NHrq6Hu7bDD9sOhTMkCxBcjwg2+psNWU/b6RQqopnqMrMFcXTnB8VJSE+iqws6FqObCzuSgNpKr8SXXff+f8aWY6MFCOvZcg2+q5Stl3lgspOWadJblc96AOyObqluJVEhvROOhMorvhd0dxqkiRh9OjR2L9/P06cOIETJ05g//79eOihh1z3YQvYYF0HiASLC8IK2iIliTSzhXu11NDWnRwfg3EDW6i28bZkaTs4UhAyDcrnaGQZceqL3u1uRHnfzEz/Vp7g04NaAtAfkM2unyb7faSjvAXhsITRrFlntJ/WtR8CbZ4jw4Bs+y8MrQWLJ26/52bYestSUlKQkmIvrb+AD7aXweDgVguL5Yhgqg7HVF899GOOCMdqBOfdH4VYjjiMoSQjR+AyPN63maInv9qtxj/m6JpOdbDmyb54ciB50VR1O1FkyD6/uaIoR0YueeUuZd4tpxqd2q1mXAlpt5712kzcGinxyKhinirBFbeaTqWNa1QhbqfD2Y9pnlC51Tp27IiFCxciPT0dHTp0MLyo9evXcxNOQI+VWTN83GrOxwMokc7/T4nWpM2y5pRTSiWpWJUXSqKr2454PJRGkuUocL8tz1bzintHR+gY1TRy4yKsWv9qpMQzDw6Bdm8WkB0p0F69UjkiJdDkQSxDgB7Jhcb6IfL2TR3xy46juP7CeoiOkrBuzzF0qp+ue7zRveLR75rFzinb6pRr22LSnO0Y0c3eahneVo0olaMrr7wS8fHxwd9e1/gqA+3qVsWmfcdtlaF+jHTPNCZKUk1FDrdyZGcqP++p8wDbNWuPVUpzw4X2M65rr46HckTqMwPFqt1qkdcn6Adk0wfSOa3nqafll/3XquWoTZ3wLwNiFaWbR+lWKyp1ZmHzGJvpAnTj+3S2X966Fi5vXSv49/NXkhMZm5UTLpQfATVTEzD1H+0slcNjElC4oFKOnn322eDv8ePHOyWLgAHtuBeuVeDXP9MPbcfPI5bhRICdBG2ul9BaqBd/dWQk07NS6VtcgIDlqPwYbfbYALUYstSG5Dni0Pv4CNcRvN8WLUdmhKvP1Ls9MQzpKey0KatWJ+1sNbMFOjc90x+F50qQmcon47ETGN1lpTJYZJB3yw6xDEkgad1qXOPwLO6jxe9C0JHVCSPhgvkTpFGjRsjPzw/Zfvz4cTRq1IiLUAJztC+jtdlq7Faf1IRYXTnC41aD5d6APFvNqbXVCMeG1F2O1spzVfts9G5eA28O70hdvnawdc6tVvZfrZuQFvMcUOHpNHVjjljcag7bjkila91q3RpVx7COtTHuihaEo4G0pFjUrWa8LI8rGNxbZRtRtuOiEj7Kkfa+siSBJLvVnG2zjsccmdbvwIevt3Uj9qn8u3fvhs8XatosKirC/v37uQglMKdpZopqFXtLX6EcvvzDHQxdNlvNO28ViyQheYEMHlmXhtUxvKtx1mct2uJ4dNikD8rymCN6C4sSr8QcNayRTNzOEpwbzmsJiNK9sTqhZVSUhFf/0T58goQBvVxOzrnV6NMFkJqE3qsWlp6KQyXhasfe6bnNoVaOvv/+++DvuXPnIi2t3H/t8/mwcOFCNGzYkK90ghCWP9YHJ86WYPG2PLdFAaAZIMPwKWCrDgc6gComLg0lzs840U7l5xFzFHrT0s9no7ZqOXKbZY/2wamiUtRMIbuZlCu0m12XnUGFpi0r739g0G5TJw3f3deD28KgbqG3Nt/Csb1UrjSlpaaYk1tNe+eVaRXM81CFPjdiEkiOqoDTH4RWkpnaxetuNeqe/aqrrgJQ1ohvueUW1b7Y2Fg0aNAAU6dO5SqcIJQ66Umokw4uypF6cLPWUJXW6HA1ddMkgizn2ewT7u3dBGv3HMM6hRUP0Atk1sQc8V5bzaA+qyiXuvjoti6YOm87Jl3T1lb5PNdWs4KZi4nFrRZOlLe7fd2qrsnBC73Zjtqp4srjnIo5Ugbhk5Z30ZMngH5Wc1tiUZWjVZzu69OYufywLR8S5jAMO1DHHPn9fvj9ftSrVw95eXnBv/1+P4qKirB9+3YMHjzYSVkFBlgLyLbfOp2ercbTGuXE+5+WFIvZ93RHcpzaDUDMOOuwPLwWnlWiHCd6NauB7++/GBfUKlukmTTzpFuj6gCAazvVAQAMbls2I6dP8xq6cnoNdfyJ8T0M5xe3x8cSx1BeNy+3WkjMkeJdIS0MrIRl+RBe0Bb11j874l8DyLFnRrjxSnopPIIEc8xRTk6OE3IIXIB+CDAow2LcCS++vOsi6mOd7ABCEjySLEeaGeJOj6sss9X0jjVcPkT1u+yvd27uhF+2H0HfCzIBAJOuaYsBrbLQu3kNtFHMcjTC7S9KpgzZHlf0KgJOuNW0KGermedSIgRkExotD7d2sEYjy1GExhx5ySpLglk5AoDTp0/jl19+wd69e1FcXKzaJ9ZXcwdLSSAJX/6shDPP0ZXts0O2tciiz9BOGuh59Qk0l65VHo2emZXnqb0+loDsQW1r4f3lOejasJpqu6FlhNB+UhNiMaRd+XNKjo9R/Q3QXJu7vaZqKr9ZQHYYZ6tFYi4pI2ivxgm3mrbuaJXlyCTmyCQge1Svxlj452Fcf2FdfLh8t3UhlXVS3i2rTcSNmCOvN2dm5WjDhg0YOHAgzpw5g9OnT6NatWo4evQokpKSULNmTaEcuYS1yWoc3GphXD7k/27oELLNK1/uNC96SBJIh91qLCTERuN/D/UM2W4UfxFl8dl75ZnpoV4+xBinr0WVBNLZqlzF2DJSvrNDvaqOy2Iac0TappDx8Sta4HGdtAqWMYw5ojzQgHC9klYSD7sFc56j0aNHY8iQISgoKEBiYiJ+++037NmzB506dcIrr7zihIwCCmwvg2GxoTqd8ZRnkU52ADGa5QfM1ioqC8jmixPXZ9SuvD7bxCpqt5qZ5Sh8VNDbDcC4/5EALH6kN168qjVGdm/ouCwlJm41lnbPLSDb4frc+GDxentmVo42btyIsWPHIjo6GtHR0SgqKkLdunUxefJkPPHEE07IKKDAUhJIi43z7Zs6Ii46Cm/9s6MmEDE8rZ1nbBOvWRra+AKSu4VHVnMjnJhxYmRuVyvG9M/E44YjJldxePMceXw0oeSmi+ohJSEGI3s0oDpekoCGGcm46aL6YVl018psNT3+2bUeqibF4sYu1pYHGty2FmqkxOOKNrV0j+HRLm7r0QApCTEYcZG99dLMUPbdXv+4YnarxcbGBh9GZmYm9u7diwsuuABpaWnYu3cvdwEFzqFSaxja6eWta+HPF7IQHSXhvxsPWCrDDZwcyEKUI5LliEsIvD5OXB5p+ZAAlq/GNEM2S2H8Uea8MY/F8Lqq5z1evKoNnhvamno2ZbgH0czUeMP9LB9n1avEY91T/SzPHH39xg7wy84n262ZmoCNz/QPa1Jfjw8X7MpRhw4dsHbtWjRr1gx9+vTBM888g6NHj+KTTz5Bmzbk9aEEzmM3QzYrgZdIshh34iguCKJ1q5EI7Xc45zlyYJw2ik2NpEUkWVAOEGZWBMdjjpwt3jVYBuFwta2PbuuCv/NOoXODaobHscpjR+GQJAlmK5vwuj3hUIwiqc9gtlFOnDgRtWqVmfheeOEFVK9eHffccw/y8vLw7rvvchdQQIfdtdWsol5bzeOtnQCvwU27NhOxWE3HQKo7kNyvX8tMPoLZxFjpdubZu92KlNO6zSxHTs/yCVdyPrehDch2kl7NauC2i81jmrzczXlYtBAqnFutc+fOwd81atTAzz//zFUggUUsJYEk/2YhWpO7hzckuZRxBywLRrapnYYtB04gNSEGhedKeYhXLgfFV5e2MyA9sm/u6Y6zJT7TldZJODGt3MhwYjn409ppYUNtOTI+1s61eHxs8Axeu01e+wj0mDj0eFxuS3mOBBUPqy+8G+ng0xJj8eyQlpAApCTEUp/3zohOmL7kL9zaoyEum/oLAH4DtXKGk17B2hgdklUgKkqypBgBakXmjeGhaQ+sYBRzZHn5EJOb7nZnH+Mht5rA/fagxWPiqPCa4maE1yWl6oU7duyIhQsXIj09HR06dDB8AOvXr+cmnECfkIzMVpJAcpAj2gXlCABu7cE+pTe7aiJevMqZuDgaCxZLUkZLKJrA4LahCTMtFUkZkF2RUL5bZm4zp9xeGVXicPRUMS5ukoFlO486UoeXuK9PEzzwxQYMIszK8pr7xWvyeH0ZDj28dh+1UClHV155JeLj44O/I0k7rSzYXVvN6hNVTXuOwJeUl8Q0yqp6dqDkQJ6j8LrVkuOj9Xca4HRWaZ6YWo5slG30zi5/7FIUni3BqpwCGzVEDkPaZaNDvarITksM2ee1XkUMf9aJpIBsKuXo2WefDf4eP368U7IIwgyPxqkqw4HGXqZwsQ1BLGLwGqZpchhpFSiTcZcZR2arGRTapGYK7rqkEaonxzGVaepW89BwaORWBOBYAFVCbDQSYq0pn5FKnfQk4navWRi8JQ08KBAdXnrPSTDPVrv11luxcOHCSjOLIlKwNltN8dtyQLYHp/J7FNVXkwPlO/FG+k00uCcGXoC7ezXmWqeXxsILslIN9zsdkC16WaBzg3TuZd7crSzZ4cVNMthP9lD71OJh0QCoFSIvveckmCM/8/PzMWjQIFSvXh033HADRowYgfbt2zsgmoAFa241xW+Lr1WkT+XnhVaJID0O7d2JhA8MJ0T0/lUDa57si8JzJchKSzA8LhKeYaSy/ul+yD9VhEY1qnAv+5buDdCxfjqaZdIvXB3Aa5asSMXrt5HZcvT9998jNzcXzz77LNatW4dOnTqhZcuWmDhxInbv3u2AiAIa3Irj8GQSSAZ4jW2lFD4ypzvVcC8fYpVI0CdqpMSjMcWgzNs1KiinWnIcmlpQXmiQJAlt61StEK7LSIrj4fFBHi4sLVRTtWpV3HXXXViyZAn27NmDW2+9FZ988gmaNGnCWz4BJe3qVLVwln0TJ8s6VBUZbeAuSVHRdmK8lQQnBmox+Btj56OkQ13+7iKB8yRWAIXKC3h9vLC1il9JSQnWrl2LVatWYffu3cjM9EZW38rGrLsuQuvaaczn8Wic6iSQjkRkRwQhyhHhmNAkkN7XPEwDki0QZ5L2IEIeOQB7Cm6bOmmYdddFWP5YH4Pyvd9GKhvJ8TH44f6L0bt5DbdFARBZ74uyC/S6e9KScrR48WLceeedyMzMxC233IKUlBT88MMP2LdvH2/5BBR0bVTd0nk8JppFSZFtOeKloIRajoyPlyBFhHuJ5+D8+BUt0Co7Fbf3bMStTLexe3e6NqquO0tL4F3a1EmzFK8kKMfr4wVzQHadOnWQn5+PAQMG4J133sGQIUOQkGActCjwJhKH6VNRER5zxAsaC0uI5SgClCOebrVRvRpjFMXMtogK7I+AZyhwhg7n10F0GzdWKbCKaraai3LQwKwcPfPMM7juuuuQni785W7CJUeR/SLUKzl7pLW7MbiW+sxHyZCYowgYWc2SIFZ2IuEZCpzh8tZZ+PeNHdA62zjdg4CM1z+CmN1qd911F9LT0/HXX39h7ty5OHv2LADhGw83/+xaH3XSE3GbhWU0SFiNF1Jbjvg3dqdfH17NVjuriybmSBD5iG6v8iJJEoa2y3Yk1QCTHKrf3u5jImlmnaU8R//4xz+wePFiSJKEnTt3olGjRrjjjjtQtWpVTJ061Qk5BRrSEmOx7NE+trRvHg1Vud6q1xu7k9BM5dfeHy8PrM0yq2DH4VPo1cwbQadexcOPUCDwNF4fLpgtR6NHj0ZsbCz27t2LpKTyQMLrr78ec+bM4SqcwBi7ZkkeXxnRIuYIACGTNEHzCVlixEF57PLJ7V0x7ooWeO369m6L4mmcyAMlELAQSR+l2vUlvQyzcjRv3jxMmjQJderUUW1v2rQp9uzZw00wQXixPFtNMeI7vuq8h9FajshDpiZw0sPjamZqAu7u1RjpjOum8WDytW0BAI9e3jzsdbMidCOBp4igLtjrwwWzW+306dMqi1GAo0ePIj4+notQgvDAQ3EXs9XKoJnKH2o5EiMriR5NMrD9xcsRHyOS7QkEZng9zkgPr8vNbDm65JJL8PHHHwf/liQJfr8fU6ZMQZ8++snMBN7Gqokz2uFppFbKdMNaSzOrS3uPhdVBH6EYlSHaiIAFp7o+Xn1qhQ7InjJlCnr37o21a9eiuLgYjz76KH7//XcUFBTg119/dUJGQRiw7lbjUYp78Jpl+fyVrfCvrzeXl0uwCqmyHkiSsBsJBALbhEPJcEJJ97pyxGw5atmyJTZv3owuXbqgX79+OH36NIYNG4YNGzagcWPzBG+CikWkZ8jOSkvkUs51neti7VN9DY/RmpFF+guBGcL1KqhYOJv6hSfMliMAyMrKwnPPPcdbFoGLcFl4lpMs4eDDkZ0x/4883NqjAbcyM6oYx9xpE5KLYU8gEFRWvP4xTaUcbd682fyg87Rt29ayMILIQ205ciIJpDNv0KUtMnFpC+cWSiYZhbzeGQi8h9e/rgXewuvT4ytczFH79u3LYiRkWXXzA24B5Tafz8dZREE4sJ4hm7MgFYTM1ND1BrUuSOFVE5gh3GoCM8KhZDhRh9dXDKCKOcrJycGuXbuQk5OD2bNno2HDhpg+fTo2btyIjRs3Yvr06WjcuDFmz57ttLwCjqjaJge3moihAT65vQsua1ETE69uE7IvJEN2mGQSCASVA6fUDV5dO4chJ2xQWY7q168f/H3dddfh3//+NwYOHBjc1rZtW9StWxdPP/00rrrqKu5CCpyBR4NXJn4Ua5QCPZvWQM+m5CU3JG0wolAmBSaIJiIwI1Jdrx43HLHPVtuyZQsaNgxd7LRhw4b4448/uAglCD+W11ZTneiNntyr75zWBZmaGMu1/Nhor165QCCIZPjlOXI2RpUnzMrRBRdcgBdffBHnzp0LbisqKsKLL76ICy64gKtwAmfh0TaVSSCdsBx5/P1hQxOMOPHqNmhftyreHN6RS/Gz7u6GdnXS8PWoblzKEwgE3idS+0ivi808lf/tt9/GkCFDULduXbRr1w4AsGnTJkiShB9//JG7gILwwCMJZMjiqwIV2gDEutWS8N19PbiV37FeOv57/8XcyhO4T4usVLdFEEQQXleUImnhWWblqEuXLsjJycGnn36Kbdu2QZZlXH/99Rg+fDiSk5OdkFEQBqw2VOWA74Rq5O3Xhw2VA1LokQIKWman4pPbu6AWp2SlAoFX8PpMZ0tJIJOSknDXXXfxlkUQZngE8qndamLEN0KtSIp7JaBDL8BfIAC0M8C8rXGoE+F6W1bmmCNBxcS6W005lZ+PLBUVj1uRBQKBIGx4vT8UypEAAJ+G6hXlyKu+bHUCVRcFEQgEFQav9neRjlCOBNwQbjVjlH2YuFMCgaCyoXSlRXk86EgoRwIAfPy/QjkyRhVzJO6VQCDggHoGmGtiMON1UZmVo0aNGiE/Pz9k+/Hjx9GoUSMuQgnCA+8XSQz3xojZagKBwEm8rnBE0sKzzMrR7t27iYvLFhUV4cCBA1yEEoQfPjFH/Ef8iuRP9/pCiwKBIPKI1G7F6/0h9VT+77//Pvh77ty5SEtLC/7t8/mwcOFCNGjQgKtwgsiialKc2yJ4GlXMkbAcCQQC3nhb31DhdVGplaPAgrKSJOGWW25R7YuNjUWDBg0wdepUrsIJIoN/39gBOUdOo2O9dO5le/0FYkEdkC20I4FAYJ+Ita57XGxq5cjv9wMoW2B2zZo1yMjIcEwoQfix834NbZfNTxANFUmFUAa9i5VWBAJBZUM5zlQYt1qAnJwcJ+QQuIDH26ZlvHpZarea0I4EAkHlxav9dABLy4csXLgQCxcuRF5eXtCiFODDDz/kIpggvHg1lbs3pbKGaraaa1IIBIKKilf78QDKb0KvuwOZlaPnnnsOzz//PDp37oxatWp5/gIFdIjH6DzRiqRnmakJLkoiEAgE7uL1IYdZOXr77bcxc+ZMjBgxwgl5BAI1Xn+DGJAkCaueuAzFpX5UibdktBV4DEkq+xpOjot2WxSBwDF4WaSUliOvxxwx5zkqLi5G9+7dnZBF4CLebqYVh8zUBNStluS2GAJOfHdvD3RrVB2z7u7mtigCQWTh8UGHWTm644478PnnnzshiyDMeN0/LRB4nXZ1q+KLuy5C69pp5gcLBA7jcWOMKoWJ12Vltu2fO3cO7777LhYsWIC2bdsiNjZWtf/VV1/lJpwgfFSk2LEqCcJlJRAIBF6jQrvVNm/ejPbt2yMqKgpbt27Fhg0bgv82btzogIhlTJgwAd27d0dSUhKqVq1KPGbv3r0YMmQIkpOTkZGRgQcffBDFxcWqY7Zs2YJevXohMTERtWvXxvPPPy+mVcO7Fk4Wud6/uTNaZKXgrX92ckwegUAg8Cpe7ccDKEdar8vK/Im9ePFiJ+Qwpbi4GNdddx26deuGDz74IGS/z+fDoEGDUKNGDSxfvhz5+fm45ZZbIMsyXn/9dQBAYWEh+vXrhz59+mDNmjXYsWMHRo4cieTkZIwdOzbcl+Q6HlfcAbBNee/bMhN9W2Y6JotAIBBURtpwchsrDRFeH38ixv/w3HPPAQBmzpxJ3D9v3jz88ccf2LdvH7KzyzI2T506FSNHjsSECROQmpqKzz77DOfOncPMmTMRHx+P1q1bY8eOHXj11VcxZsyYCuVaoqFyXa1AIBAIWFgwphd2Hj6Ji5vyWRFD+bHrdbcas3LUp08fQyVi0aJFtgSyysqVK9G6deugYgQAAwYMQFFREdatW4c+ffpg5cqV6NWrF+Lj41XHjBs3Drt370bDhg3dEN01Gteogk7105GeFIuoKG82VG9KJRAIBBWfJjWroEnNKtzKi6QIFmblqH379qq/S0pKsHHjRmzdujVkQdpwkpubi8xMtUslPT0dcXFxyM3NDR7ToEED1TGBc3Jzc3WVo6KiIhQVFQX/Liws5Ci5e0RFSfh6VLdKZzETCASCikgk9eVeF5VZOZo2bRpx+/jx43Hq1CmmssaPHx90l+mxZs0adO7cmao8UsOQZVm1XXtMwAdq1KheeuklUzkjFa+/TF6XTyAQCAS0KGKOPO4X4BZzdNNNN6FLly545ZVXqM+5//77ccMNNxgeo7X06JGVlYVVq1apth07dgwlJSVB61BWVlbQihQgLy8PAEKsTkrGjRuHMWPGBP8uLCxE3bp1qeQSCAQCgSAceP1bUj2V3z05aOCmHK1cuRIJCWzrRWVkZCAjg0+gV7du3TBhwgQcOnQItWrVAlAWpB0fH49OnToFj3niiSdQXFyMuLi44DHZ2dmGSlh8fLwqTkkgEAgEAq/hcX1DPZXf45ocs3I0bNgw1d+yLOPQoUNYu3Ytnn76aW6Cadm7dy8KCgqwd+9e+Hy+YE6lJk2aoEqVKujfvz9atmyJESNGYMqUKSgoKMAjjzyCO++8E6mpqQCA4cOH47nnnsPIkSPxxBNPYOfOnZg4cSKeeeYZzz8ogUAgEAgqCl4fcZmVo7Q0db6DqKgoNG/eHM8//zz69+/PTTAtzzzzDD766KPg3x06dABQlnepd+/eiI6Oxk8//YR7770XPXr0QGJiIoYPH65y86WlpWH+/Pm477770LlzZ6Snp2PMmDEql5nAWwidVSAQCIxJT4rFsTMlaFEr1W1RDFG61bzet0uySA/NTGFhIdLS0nDixImgVUrgDO2fn4fjZ0oAALtfHuSyNAKBQOA9ikp9KPHJqBLv7dSF+wrOoOfkskTSbvXntOO35Tu5bt06/Pnnn5AkCS1btgxacgQCgUAgEISP+JhoeFwvAgDUrZaEsf2aIS0p1vxgl2G+nXl5ebjhhhuwZMkSVK1aFbIs48SJE+jTpw++/PJL1KhRwwk5BQKBQCAQRDgPXNbUbRGoYF549oEHHkBhYSF+//13FBQU4NixY9i6dSsKCwvx4IMPOiGjQCAQCAQCQdhgthzNmTMHCxYswAUXXBDc1rJlS7z55puOBmQLKicej9kTCAQCQQWE2XLk9/sRGxvqL4yNjYXf7+cilEAgEAgEAoFbMCtHl156KR566CEcPHgwuO3AgQMYPXo0LrvsMq7CCQQCgUAgEIQbZuXojTfewMmTJ9GgQQM0btwYTZo0QcOGDXHy5Em8/vrrTsgoEAgEAoFAEDaYY47q1q2L9evXY/78+di2bRtkWUbLli3Rt29fJ+QTVHJE5nKBQCAQhBvLmRH69euHfv368ZRFIAghMTbabREEAoFAUMmgdqstWrQILVu2RGFhYci+EydOoFWrVli2bBlX4QSCt2/qhPrVk/DWPzu6LYpAIBAIKgnUytFrr72mWsRVSVpaGu6++268+uqrXIUTCNrUScMv/+qDK9rUclsUgUAgEFQSqJWjTZs24fLLL9fd379/f6xbt46LUAKBQCAQCARuQa0cHT58mJjfKEBMTAyOHDnCRSiBQCAQCAQCt6BWjmrXro0tW7bo7t+8eTNq1RKuD4FAIBAIBJENtXI0cOBAPPPMMzh37lzIvrNnz+LZZ5/F4MGDuQonEAgEAoFAEG4kWZZlmgMPHz6Mjh07Ijo6Gvfffz+aN28OSZLw559/4s0334TP58P69euRmZnptMyuU1hYiLS0NJw4cYIYoC4QCAQCgcB70I7f1HmOMjMzsWLFCtxzzz0YN24cAjqVJEkYMGAApk+fXikUI4FAIBAIBBUbpiSQ9evXx88//4xjx47hr7/+gizLaNq0KdLT052STyAQCAQCgSCsWMqQnZ6ejgsvvJC3LAKBQCAQCASuw7zwrEAgEAgEAkFFRihHAoFAIBAIBAqEciQQCAQCgUCgQChHAoFAIBAIBAqEciQQCAQCgUCgQChHAoFAIBAIBAosTeWv7AQSYBYWFrosiUAgEAgEAloC47bZ4iBCObLAyZMnAQB169Z1WRKBQCAQCASsnDx5Emlpabr7qddWE5Tj9/tx8OBBpKSkQJIkbuUWFhaibt262Ldvn1izzUHEfQ4f4l6HB3Gfw4O4z+HByfssyzJOnjyJ7OxsREXpRxYJy5EFoqKiUKdOHcfKT01NFS9eGBD3OXyIex0exH0OD+I+hwen7rORxSiACMgWCAQCgUAgUCCUI4FAIBAIBAIFQjnyEPHx8Xj22WcRHx/vtigVGnGfw4e41+FB3OfwIO5zePDCfRYB2QKBQCAQCAQKhOVIIBAIBAKBQIFQjgQCgUAgEAgUCOVIIBAIBAKBQIFQjgQCgUAgEAgUCOXIQ0yfPh0NGzZEQkICOnXqhGXLlrktUsTw0ksv4cILL0RKSgpq1qyJq666Ctu3b1cdI8syxo8fj+zsbCQmJqJ37974/fffVccUFRXhgQceQEZGBpKTkzF06FDs378/nJcSUbz00kuQJAkPP/xwcJu4z/w4cOAAbrrpJlSvXh1JSUlo37491q1bF9wv7rV9SktL8dRTT6Fhw4ZITExEo0aN8Pzzz8Pv9wePEfeZnaVLl2LIkCHIzs6GJEn47rvvVPt53dNjx45hxIgRSEtLQ1paGkaMGIHjx4/bvwBZ4Am+/PJLOTY2Vn7vvffkP/74Q37ooYfk5ORkec+ePW6LFhEMGDBAnjFjhrx161Z548aN8qBBg+R69erJp06dCh7z8ssvyykpKfLs2bPlLVu2yNdff71cq1YtubCwMHjMqFGj5Nq1a8vz58+X169fL/fp00du166dXFpa6sZleZrVq1fLDRo0kNu2bSs/9NBDwe3iPvOhoKBArl+/vjxy5Eh51apVck5OjrxgwQL5r7/+Ch4j7rV9XnzxRbl69eryjz/+KOfk5Mj/+c9/5CpVqsivvfZa8Bhxn9n5+eef5SeffFKePXu2DED+9ttvVft53dPLL79cbt26tbxixQp5xYoVcuvWreXBgwfbll8oRx6hS5cu8qhRo1TbWrRoIT/++OMuSRTZ5OXlyQDkX375RZZlWfb7/XJWVpb88ssvB485d+6cnJaWJr/99tuyLMvy8ePH5djYWPnLL78MHnPgwAE5KipKnjNnTngvwOOcPHlSbtq0qTx//ny5V69eQeVI3Gd+PPbYY/LFF1+su1/caz4MGjRIvu2221Tbhg0bJt90002yLIv7zAOtcsTrnv7xxx8yAPm3334LHrNy5UoZgLxt2zZbMgu3mgcoLi7GunXr0L9/f9X2/v37Y8WKFS5JFdmcOHECAFCtWjUAQE5ODnJzc1X3OD4+Hr169Qre43Xr1qGkpER1THZ2Nlq3bi2eg4b77rsPgwYNQt++fVXbxX3mx/fff4/OnTvjuuuuQ82aNdGhQwe89957wf3iXvPh4osvxsKFC7Fjxw4AwKZNm7B8+XIMHDgQgLjPTsDrnq5cuRJpaWno2rVr8JiLLroIaWlptu+7WHjWAxw9ehQ+nw+ZmZmq7ZmZmcjNzXVJqshFlmWMGTMGF198MVq3bg0AwftIusd79uwJHhMXF4f09PSQY8RzKOfLL7/E+vXrsWbNmpB94j7zY9euXXjrrbcwZswYPPHEE1i9ejUefPBBxMfH4+abbxb3mhOPPfYYTpw4gRYtWiA6Oho+nw8TJkzAjTfeCEC0aSfgdU9zc3NRs2bNkPJr1qxp+74L5chDSJKk+luW5ZBtAnPuv/9+bN68GcuXLw/ZZ+Uei+dQzr59+/DQQw9h3rx5SEhI0D1O3Gf7+P1+dO7cGRMnTgQAdOjQAb///jveeust3HzzzcHjxL22x6xZs/Dpp5/i888/R6tWrbBx40Y8/PDDyM7Oxi233BI8Ttxn/vC4p6Tjedx34VbzABkZGYiOjg7RdPPy8kI0a4ExDzzwAL7//nssXrwYderUCW7PysoCAMN7nJWVheLiYhw7dkz3mMrOunXrkJeXh06dOiEmJgYxMTH4//buNqTJto0D+N+X6aqZtqS2lM1W9GJqsWlv4iBFDOxDFIJlYYQZQZF+KJIoKXozqCAqMJCM6luo3MZC7GVCZEqmtt5LrAVqiaUWK9vYcX94nudiezKqx5V5P/8fDOQ6z10eOxz699zOaw0NDTh58iRCQ0OVPrHPI6fX6xEfH+93bO7cuXA6nQD4nA6UHTt2YNeuXcjNzUViYiLWr1+P4uJiHD58GAD7/CsEqqc6nQ5v3rz56vy9vb0j7jvD0R8gLCwMFosF9fX1fsfr6+uxdOnSUapqbBERbN26FVVVVbhx4wamT5/uNz59+nTodDq/Hn/58gUNDQ1Kjy0WC1Qqld+c7u5uPHjwgD+Hf8vIyIDD4UBbW5tyS05ORl5eHtra2mAymdjnAElNTf3qchTPnj2D0WgEwOd0oLhcLgQH+/8pDAkJUbbys8+BF6ieLlmyBAMDA2hublbmNDU1YWBgYOR9H9HbuSlg/rOVv6KiQh49eiRFRUUyYcIEefny5WiXNiZs2bJFIiMjxW63S3d3t3JzuVzKnCNHjkhkZKRUVVWJw+GQNWvWDLt1NDY2Vq5duyb37t2T9PT0/+vtuD/Cd7eaCPscKM3NzRIaGioHDx6U58+fy6VLl2T8+PFy8eJFZQ57PXL5+fkSExOjbOWvqqqS6Oho2blzpzKHff55Hz58kNbWVmltbRUAcvz4cWltbVUuTxOoni5fvlySkpKksbFRGhsbJTExkVv5/2lOnz4tRqNRwsLCxGw2K9vQ6fsADHs7d+6cMsfr9UppaanodDoJDw8Xq9UqDofD7zyfPn2SrVu3ilarlXHjxsmKFSvE6XT+5kcztvx3OGKfA6e2tlYSEhIkPDxc5syZI2fPnvUbZ69HbnBwULZv3y4Gg0HUarWYTCbZvXu3DA0NKXPY55938+bNYX8n5+fni0jgetrX1yd5eXkSEREhERERkpeXJ+/fvx9x/UEiIiNbeyIiIiL65+B7joiIiIh8MBwRERER+WA4IiIiIvLBcERERETkg+GIiIiIyAfDEREREZEPhiMiIiIiHwxHREQ/KCgoCDU1NaNdBhH9YgxHRDSmvH37Fps3b4bBYEB4eDh0Oh2ysrLQ2Ng42qX56e3thUqlgsvlgsfjwYQJE5QPjSWiP1voaBdARPQzVq9eDbfbjfPnz8NkMuHNmze4fv063r17N9ql+WlsbMSCBQswfvx4NDU1QavVwmAwjHZZRPQDuHJERGNGf38/bt26hbKyMixbtgxGoxELFy5ESUkJsrOzlXkDAwMoLCzElClTMHHiRKSnp6O9vd3vXLW1tbBYLFCr1TCZTNi3bx88Ho8y/vz5c1itVqjVasTHx/t9OviPuH37NlJTUwEAt27dUr4moj8fV46IaMzQaDTQaDSoqanB4sWLER4e/tUcEUF2dja0Wi1sNhsiIyNRXl6OjIwMPHv2DFqtFnV1dVi3bh1OnjyJtLQ0dHR0oLCwEABQWloKr9eLVatWITo6Gnfu3MHg4CCKioq+W5/T6URSUhIAwOVyISQkBJWVlfj06ROCgoIQFRWFtWvX4syZMwHtCxEF2Ig/upaI6De6fPmyTJo0SdRqtSxdulRKSkqkvb1dGb9+/bpMnDhRPn/+7He/GTNmSHl5uYiIpKWlyaFDh/zGL1y4IHq9XkRE6urqJCQkRF6/fq2MX716VQBIdXX1N2tzu93S2dkp7e3tolKppK2tTV68eCEajUYaGhqks7NTent7R9oCIvrF+LIaEY0pq1evRldXF/766y9kZWXBbrfDbDajsrISANDS0oKPHz9i8uTJykqTRqNBZ2cnOjo6lDn79+/3G9+0aRO6u7vhcrnw+PFjGAwGxMbGKt93yZIl360tNDQUcXFxePLkCVJSUjB//nz09PRg6tSpsFqtiIuLQ3R09C/pCxEFDl9WI6IxR61WIzMzE5mZmdi7dy8KCgpQWlqKDRs2wOv1Qq/Xw263f3W/qKgoAIDX68W+ffuwatWqYc8tIl8dDwoK+m5d8+bNw6tXr+B2u+H1eqHRaODxeODxeKDRaGA0GvHw4cOffrxE9HsxHBHRmBcfH69cf8hsNqOnp0dZxRmO2WzG06dPMXPmzG+ez+l0oqurC9OmTQOAH7pUgM1mg9vtRkZGBo4ePQqLxYLc3Fxs2LABy5cvh0ql+p8eHxH9XkEy3L9IRER/oL6+PuTk5GDjxo1ISkpCREQE7t69i23btiE7OxsVFRUQEVitVnz48AFlZWWYPXs2urq6YLPZsHLlSiQnJ6Ourg4rVqzA7t27kZOTg+DgYNy/fx8OhwMHDhyA1+tFYmIi9Ho9jh07hsHBQRQXF6OlpQXV1dVYuXLlN2vs6elBXFwc+vv7ERwcjKioKLx48UIJWUT05+N7johozNBoNFi0aBFOnDgBq9WKhIQE7NmzB5s2bcKpU6cA/OvlL5vNBqvVio0bN2LWrFnIzc3Fy5cvMXXqVABAVlYWrly5gvr6eqSkpGDx4sU4fvw4jEYjACA4OBjV1dUYGhrCwoULUVBQgIMHD/5QjXa7HSkpKVCr1WhqakJMTAyDEdEYw5UjIiIiIh9cOSIiIiLywXBERERE5IPhiIiIiMgHwxERERGRD4YjIiIiIh8MR0REREQ+GI6IiIiIfDAcEREREflgOCIiIiLywXBERERE5IPhiIiIiMgHwxERERGRj78BMj0SnSiumD0AAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"circs = []\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.h(0)\n",
"circ.barrier(0)\n",
"circ.append(SaveState(1), (0,))\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"deviations = numpy.zeros(1000)\n",
"for seed in range(len(deviations)):\n",
" backend = AerSimulator(seed_simulator=seed)\n",
" job = backend.run(circs, shots=5000)\n",
" deviations[seed] = job.result().get_counts()[1][\"0\"] - 2500\n",
"\n",
"fig = pyplot.figure()\n",
"ax = fig.add_subplot()\n",
"ax.plot(deviations)\n",
"ax.set_ylabel(\"Count deviation from 2500 for +X with 5000 shots\")\n",
"ax.set_xlabel(\"Seed #\")\n",
"ax.set_title(\"No reset case\")\n",
"print(numpy.std(deviations))"
]
},
{
"cell_type": "markdown",
"id": "914bef63-d763-41db-8914-632cac11aece",
"metadata": {},
"source": [
"The case without resets looks reasonable. The counts fluctuate around 2500 with standard deviation roughly $\\sqrt(5000 / 4)$ as expected for the binomial distribution."
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "c6b06e57-d61c-4c92-94d9-0dcf2573f7ca",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"8.035297132029406\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"circs = []\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.reset(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.reset(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.h(0)\n",
"circ.barrier(0)\n",
"circ.append(SaveState(1), (0,))\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"deviations = numpy.zeros(1000)\n",
"for seed in range(len(deviations)):\n",
" backend = AerSimulator(seed_simulator=seed)\n",
" job = backend.run(circs, shots=5000)\n",
" deviations[seed] = job.result().get_counts()[1][\"0\"] - 2500\n",
"\n",
"fig = pyplot.figure()\n",
"ax = fig.add_subplot()\n",
"ax.plot(deviations)\n",
"ax.set_ylabel(\"Count deviation from 2500 for +X with 5000 shots\")\n",
"ax.set_xlabel(\"Seed #\")\n",
"ax.set_title(\"Case with leading resets\")\n",
"print(numpy.std(deviations))"
]
},
{
"cell_type": "markdown",
"id": "8dd0af15-d59a-447c-bec0-71d7d00a8ed3",
"metadata": {},
"source": [
"The case with leading resets is strange. There seems to be a strong correlation across seed numbers and as a result the standard deviation of the counts is much lower."
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "0093817f-0080-4a34-96e9-67f42acf0c9d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"34.81094103870218\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"circs = []\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.reset(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"circ = QuantumCircuit(1, 1)\n",
"circ.reset(0)\n",
"circ.barrier(0)\n",
"circ.barrier(0)\n",
"circ.h(0)\n",
"circ.barrier(0)\n",
"circ.append(SaveState(1), (0,))\n",
"circ.measure(0, 0)\n",
"\n",
"circs.append(circ)\n",
"\n",
"deviations = numpy.zeros(1000)\n",
"for seed in range(len(deviations)):\n",
" backend = AerSimulator(seed_simulator=seed*200)\n",
" job = backend.run(circs, shots=5000)\n",
" deviations[seed] = job.result().get_counts()[1][\"0\"] - 2500\n",
"\n",
"fig = pyplot.figure()\n",
"ax = fig.add_subplot()\n",
"ax.plot([i*200 for i in range(len(deviations))], deviations)\n",
"ax.set_ylabel(\"Count deviation from 2500 for +X with 5000 shots\")\n",
"ax.set_xlabel(\"Seed #\")\n",
"ax.set_title(\"Case with leading resets\")\n",
"print(numpy.std(deviations))"
]
},
{
"cell_type": "markdown",
"id": "28eb7c2b-5e3b-41d1-b241-48498ee1611a",
"metadata": {},
"source": [
"Taking larger steps between seeds results in a distribution of results more like what is expected."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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