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Sample data for opt_einsum large contractions
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.gitignore
\.ipynb_checkpoints/
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README.md

Sample Contractions

This is a collection of large contractions for testing opt_einsum with.

Usage

E.g. to load file 'oe_sample_MAXCUT_n50_reg5_seed0.json':

import json

with open('oe_sample_MAXCUT_n50_reg5_seed0.json') as file:
    loaded = json.load(file)
    eq, shapes = loaded['eq'], loaded['shapes']
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contraction tester - QAOA max-cut example.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import quimb as qu\n",
"import quimb.tensor as qtn\n",
"import numpy as np\n",
"import xyzpy as xyz\n",
"import json"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def TN_to_eq_shapes(tn):\n",
" \"\"\"Convert a quimb TN into opt_einsum eq and shapes.\n",
" \"\"\"\n",
" ts = tn.tensors\n",
" expr = qtn.tensor_contract(*ts, get='expression', optimize='eager')\n",
" eq = expr.contraction\n",
" shapes = [t.shape for t in ts]\n",
" return eq, shapes\n",
"\n",
"def eq_shapes_to_json(eq, shapes, fname):\n",
" \"\"\"Write eq and shapes to JSON.\n",
" \"\"\"\n",
" with open(fname, 'w') as file:\n",
" json.dump({'eq': eq, 'shapes': shapes}, file)\n",
" \n",
"def eq_shapes_from_json(fname):\n",
" \"\"\"Load eq and shapes from JSON\n",
" \"\"\"\n",
" with open(fname) as file:\n",
" loaded = json.load(file)\n",
" eq, shapes = loaded['eq'], loaded['shapes']\n",
" return eq, shapes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# QAOA Maxcut"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def rand_reg_graph(reg, n, seed=None):\n",
" import networkx as nx\n",
" G = nx.random_regular_graph(reg, n, seed=seed)\n",
" return G\n",
"\n",
"def graph_to_circ(G, gamma0=-0.743043, beta0 = 0.754082):\n",
" n = G.number_of_nodes()\n",
" \n",
" # add all the gates\n",
" circ = \"{}\\n\".format(n)\n",
" for i in range(n):\n",
" circ += \"H {}\\n\".format(i)\n",
" for i, j in G.edges:\n",
" circ += \"CNOT {} {}\\n\".format(i, j)\n",
" circ += \"Rz {} {}\\n\".format(gamma0, j)\n",
" circ += \"CNOT {} {}\\n\".format(i, j)\n",
" for i in range(n):\n",
" circ += \"Rx {} {}\\n\".format(beta0, i)\n",
" \n",
" return circ\n",
"\n",
"def do_circuit(info):\n",
" qc = qtn.Circuit(info['n'])\n",
" qc.apply_circuit(info['gates'])\n",
" return qc.psi\n",
"\n",
"def psi_gamma_beta_G(n, reg, seed, gamma0, beta0):\n",
" G = rand_reg_graph(reg, n, seed=seed)\n",
" circ = graph_to_circ(G, gamma0=gamma0, beta0=beta0)\n",
" info = qtn.circuit.parse_qasm(circ)\n",
" return do_circuit(info).squeeze(), G"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generate the circuit:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"n = 50\n",
"reg = 3\n",
"seed = 2\n",
"\n",
"psi_f, G = psi_gamma_beta_G(n, reg, seed, gamma0=0.874729, beta0=0.8471024)\n",
"s = qtn.MPS_sampler(psi_f.nsites)\n",
"norm = s & psi_f"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"oe_sample_MAXCUT_n50_reg3_seed2.json\n"
]
}
],
"source": [
"fname = \"oe_sample_MAXCUT_n{}_reg{}_seed{}.json\".format(n, reg, seed)\n",
"print(fname)\n",
"\n",
"eq_shapes_to_json(*TN_to_eq_shapes(norm), fname)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### analysis"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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fffYZERERGAwGunbtmjksdL/9Z86fP8+MGTPYuHEjI0aM4JfhvzDn9ByibkVRXVedr4Z9RcDtAAYPHnxX2fDwcF5//fUC+17yQ2pqKhqNJjPxUBSF5OTkHB2F4OnpSXJyMgBarZbSpUtn1vHvYaDi3sskhMgfiiqDwKIQqapKjcnbMZgzXmJ6rcJr7QMY1S7ggWX/+ok9MTGRihUr0rx583zZgyTmloH14X/y3sTxXNy7DpvVwuTJk/n222+ZMWMGL7/88j3bWbRoEYcPH84c3rpw4QLdunUjNjYWe3t7vL292bhxI2VdtLB5HMT/AfX6EenRkekzZrB161ZGjRrFa6+9ds8DGCMjI+natSsDBgxgypQpmS9mm82Gp6cn58+fp1SpUg/9+QuKxWJh7dq1JCUlodVq0ev19O3bF2fn7HuO/mI0GpkzZw5ubm5UrVqV1q1bo9PpsFgsLFq0CK1Wi52dHbVq1aJJkyaF8GmEEEVNhoREoTP/YxjIYlVJNd5ndc4/hISEEBMTQ2pqKufOncv1DrXZ8XF3ZETHmlR3TGbG9GnUqFGD5ORkTp06xeDBg7NNis6ePZulB6VSpUosXbqUkiVL8v7773Pu3DmeeOIJzk2ph+3MZog9Rfq295gzuDnVqlUjKiqKyZMnZ3tadLVq1Th48CBbtmxh8ODBmM1mAKKionB3dy/WyQpkTLR+8skn2bdvH1WrVqV37945SlYA7Ozs+Pzzz2ndujXt2rXL3DU5ISGBqVOn0qxZM55++mlJVoT4D5GERRQqRVF4pVUlnOy06BUbWNL5XyOfez4bGxvL8ePHuXLlCpDxsvqrQ9BiseR4PsT9hF8PZ9D2Qby84WVuWm+yZMkS1qxZw/Llyx+YEJw5c4bq1atnuda8eXM8PDzw8PBAo9Fw9OhRqrgY0NzZEddBY+WpWiW5fPkyixYtYu3atYSFhREbG3vPFS9eXl7s3r2b2NhYnnrqKVIu/c7tkI8Z8qRfxhHNxdz+/fu5ffs2bdu2zTYxu5ezZ8+iqupdQ2ozZ87kueeeo169eoVyKrYQoviQOSyi0E3s8gStq5bm2i0Dn7wxhM1rrzFy5Mgsz0RHRxMSEoKqqmg0GgIDA/H29s4yGbNChQoPFcfF2xd5dcerpFvTUW0qzq84Y/3ESsuWLXNU/uzZs3clLIqiMG7cOObMmUPTpk05evQoWos75TTx6DVg0zrg07wvtVPKc/HiRcLDw7lw4QIXL17EaDTi5+eHn58flSpVyvLfL7/8kiVTXkWztC11NQp1fbWw6wNoP/mhvoOCtm3bNjp37pzrctu3bycoKCjL/JQrV66wYsUKTp06lZ8hCiEeETKHRRSpyMhIWrRowZEjR6hYsWLm9c2bNxMT8/eeKM7OzvTt25fffvuN06dPc/r0aYKDg3M34dKUCld/hxJlwbMKH67/kFU3VqG5s1bZWe9MzCcx7Fq7i4CA+8+pSU1NpVSpUqSkpKDVZl0CbbFYqFKlCkFBQezZs4cavqVY+0I57JIvQ91+0GI03CPupKQkLl68mJnAXLhwIcuvP+uo8GLtfxTQO8Hb13L++QuZqqqUL1+e3bt3P/D7/LcuXbrwyiuv8Mwzz2ReGzZsGCVLlmTmzJn5HaoQ4hEgPSyiSFWrVo3XX3+dYcOGsXXr1swExMHBIXNFiKqqODg4oNfradmyJbVr16ZixYq88847OZ/HkRoHi1tBejI2q4ngE+7MCL9Gxbf/TpJUm0r7wPZs3br1gS/YyMhIAgIC7kpWIGPuxpAhQ5g9ezYajYZvIyKwc3B4YIiurq7UqVMn8xTpf1JVlfRNE7AdXY5GtWRcs3ehOK+POXnyJPb29vj7++eqnMFgYP/+/Xz77d8b50VFRbFu3TrOnTuX32EKIR4RModFFLnx48dz48YNVq5cmXmtadOmuLi4oNFoMBgMVK5cOfOem5sbTz31VJYX2gOFL0dNiQVTMhqrkVHVbvDdgjV83O5jfEv44pLmgn+EP907dWfLli0PrO7fE27/6fLly3zzzTcYDAbS0tLyZTdWRVFw7DAJTakqqDoH0iwKu9z7PXS9Bemv4aDc9IKpqsr+7dupU7t2ljkvU6ZMYfTo0Xh4eBREqEKIR4AMCYli4ejRo3Tp0oXjx4/j5eUFZLy8DAYDc+fOJTw8PMupyiEhIUycOJEjR448sO7ExESOz+tPc8tB9Hc6RKxo0Uy+iaLJuJCQkED16tX5+eef6dSpEzdu3MDJySnbOt999100Gg1Tp07Ncv3EiRN069aN0aNHExMTw+rVq/n+++9p1apVbr+Se7PZIPkah89c4KlefTh+/HiO9jUpCh06dGDUqFH07NkzR8+brlzh0oAXMN64QbqjI7V/+IGUvXu5fuokw775hq2RkZQoUaKAoxZCFFfSwyKKhQYNGjBo0CBGjRqVeU1RFJycnBg7dizHjh0jNDQ08167du2IjY3lxIkT2dZ59epV3njjDapUqcKP0W4oTh5gXwKb1p7PTrnSo2cvrl+/DoCHhwfvvPMO7733Hg0bNszS1r3ca8Lt7t276dChA7NmzeL1119n9OjRVLBLImHnPLiefZy5otGAmw+NmrZk4MCBvPbaa/lTbz5SVZVLNxL57fBR2rVrl+Ny1ye/hyU2Fq2q4mQwcLF/f24GB6Ns3MRCD0/0d1aLCSH+myRhEcXG5MmTiYiI4Keffspy3cHBgY8++ogxY8ZkrhDSarUMHDiQFStW3FVPVFQUQ4cOpVatWphMJn7//XfmLl+Dbuzv0OcrNEN28eo356hXrx716tXju+++A2D48OFER0dTqVKlBw4L/XtIaO3atfTt25dvv/2Wfv0yhmoqGk6x70U7OppDYHlHOLPpob6ff5s6dSpHjx5l/fr1+Vrvw0g3W+m7+BDt5xyk1NAvOHgpJcdlLXFxGT1IgKKq2G7dQjUaUQCd1UpSyI4CiloI8SiQhEUUG46OjixbtoyRI0eSmJiY5V6fPn1wc3Pjiy++yLw2cOBAVq1ahcWSMQn12LFj/O9//6NZs2aULVuWc+fOMXfuXHx9fTMKOLhBQAcoWws7Ozs++OADNmzYwOTJk+nXrx/Jycl88skn7N69m82bN2c798RisRAVFUXVqlUBCA4OZvz48ezYsSNrj8KeWThoVZz0KpgNsCd/V7f89X2NGDHiru+rqKwJi+b4ldtYVFA1ekav/R2bLWejziUHDsSq02XsWOPggGJvn3lPsbdHX65swQQthHgkSMIiipVWrVrRq1cv3njjjSzXFUUhODiYyZMnc/v2bSBjhZG/nx+L336bPh078tRTT9G4cWP+/PNP3n///RytIGrcuDFHjx7Fy8uLOnXqoCgK/v7+3L59O9vDCy9evEjZsmVxcHDg9ddfZ+nSpRw4cODu1T32JeDOOh4VwC7/51+0bt2aXr16FZtzhW6lmbPsZGyy2LIcLnk/Jfs8w8oK5bnapjW+ixZy+aWXSAbQaCjRrh3uTz9dMEELIR4JMulWFDtJSUnUrl2bL774gvbt22e5N2jQIEqVKsXMmTPZ8t13OLw3hZKqir1eT9n3p1LqH/t25FZoaCgvv/wy7ZvUZqjrbur72GFXqQX8b2VG7wxAxFpSN79DbGIyX8bVIzQqlZ9//vneq1diz8CXXUhLvo3ZpuI2+gB41cxzfNlJTk6mVq1aLF26lE6dOuV7/blxIS6VbnP3kGow4uzoSFCtsgT/r16OylosFkqXLs3p06cpXbo0tWvXZvbs2XTp3BklH86MEkI82iRhEXmiqio2m+2e+5Dkhy1btjBy5EhOHD+Os5NTxmRT4NKlS0xt0oTebu7oNRoqAJo7/wsrDg5UO3b0oU7vTUpK4uL0QJ6wu4Zeq4DWDmr3hV4L4FoELA8CiwEAg1WLMj4SB7fS2VdoSmPT6kX0Hz6BcxcuU7ZswQxrbN++nWHDhnHixIkiX0nzwaefs+/PW4we+jJdapVFo8nZn8fBgwd59dVX+f333zOPSNi5c6ecxiyEAGRISORBfHw8q1atYvny5axfvx6TyZTvbXTt2pXxQRXRf+wL00ph3jyR+Z99xuQn2zHKzR1/RaGiomQmKwCqxfLQ5+u4urpSx9shI1kBsJrg5tmMX984jar8/VfGwdERh/Sb96/QzolWvQdjsJB5qnNBCAoK4sknn2TSpEkF1kZOHfhlA//Xrjrd6pTLcbICGfu2BAUFkZKSwpQpU/j4448lWRFCZJKEReTajh07MBgyehni4uJytBdKrqXGM9z7FHaKFWxWTAcXEhv2A+M6tMfhr5fYnRUlVjs7jIqC5+BB+TN0UKN3xrb3QLpNC7XuDDOVD8RqyTgxWVU0KDp7KOn3wOrc3NyoXr06CxcuzJdN5LLz6aef8tNPP7Fv374Ca+NBUlNTOXDgAB06dMh12e3bt9O5c2c+/fRTnnzySRo2bFgAEQohHlWSsIhc+ytZAbDZbKSk5Hzpao6lxYHm7+EmB0dH3h8/HN/OnVEcHQGwAHZVq1J68ru8djMWu5dfzp+220+GDlMwVevBG6Fwxq0tAAZnH5750UZ4vAtKtS4wOATsst9c7p969+6NyWRiz549+RPjPZQsWZL58+czePDgLH9GhSk0NJRGjRrh6uqaq3JxcXGcOXMGf39/5s2bx7Rp0wooQiHEo0oSFpFr1apVQ6fLOIbKZDJhs9nu+ZzJZMp7j4JHFeLMjqRbwIaCVquHym1x790bzyGvoPfz44ydngPt2+HVpw8lW7Rg48aNefxE/6LRQJNh2PVbSYXuE5n83nsAzJ49m/1X4HqnRfDcavCskuMqO3XqhL29fYEOC0FGYlSvXj2mTJlSoO1kZ+vWrXTt2jXX5Xbs2EHbtm2ZMWMGL774IpUqVSqA6IQQjzKZdCtyTVVVoqKiSExM5Nq1awwdOpRdu3ZRs2bGChiLxcKWLVu4ceMGOp2Ozp07U65cuVy1sXPnTl4dNICBNUwMH/wiHu1GgUfWl9jhw4fp0aMHkZGRrF+/nnXr1uX7JmppaWn4+/uzdOlSBgwYgFar5dq1a+j1+lzVYzab8fDwQKPRcOHChQI9E+fGjRvUqVOHTZs2ERgYmOd60i3p2GvtczyPRFVVKleuzKZNmzL/X8ipl156CV9fXxYuXEhkZGSevh9VVTl9+jRRUVGULFmSpk2bYmdnl+t6hBDFkyQs4qF98803TJw4kQMHDuDr68vRo0c5evRoZs+Lg4MDAwcOzHF9MTExNGrUiLlz5zJixAhiY2OzfWm++OKL+Pj48Oabb+Lr60tMTEy+r5KZP38+06dPp2rVqjRo0IDg4OA81dOjRw9iNbH4dfUjqHkQ/Z/oj73W/sEF8+Cbb75h1qxZHD58ONcvbYPFwKs7XuVo7FGcdE4saL+ABl4NHljuzJkzBAUFcenSpVwfeOjt7U3t2rXp2LHjXXvw5NS5c+fYv38/FosFjUaDt7d3nnp7hBDFkwwJiYf2/PPP8/rrr9OpUyfi4uJIS0vLMkyUm1VEZrOZvn37MmrUKHQ6HY0bN77vy2/GjBksXryYW7du0aJFixydtJxbAQEB3Lx5k8jIyFwlXv9WP6g+ad3TOGV/igXHFjBy58h8jDKr/v374+vry4cffpjrsitPr+T4zePYVBsp5hTG7R6Xo3Jbtmyha9euuV7Zc/z4cbRaLefOnctyllRuXb58OXPXY5vNlnlOlBDi8SAJi8gXY8aMoXfv3nTr1o0KFSpkmePi4uLywPJWmxWrzcqECRPw8PBg4sSJ/PbbbzRp0uS+5Xx8fBg9ejQTJ06kT58+rFu3Ll8+z18sFgvjx4+ne/fupKSkULdu3TzXpammwabJSOSMNiNh18MwWfN/SThk7Ay8aNEi5s+fz8mTJ3NcLioqik27N2Gy/R1XYnrOtv3/K2HJFVVlx9aNWCwWpk2bhoODQ+7K/0OZMmUyE2VFUShZsmSe6xJCFD+SsIh8M2PGDGrVqsWwYcPo2rUrjRo1oly5crzxxhvEx8dnW27h7wtpuKohDVc2ZGPMRlasWIFGo8lRwgIwfvx4Dh48SNmyZdm+fTtpaWkP/VlOxp1kTOgY+nzZh1JVSlGiRAmcnJzYsSPvB/DV8q2VsbTpDiedE3rqcg5MAAAgAElEQVRN7ubC5ERqairh4eFcv36d6dOnM2jQoMyeh3tJSEhg0aJFtGjRghYtWuB53RM7xQ4FBT16zBFmunbtyrlz57KtIzk5mbCwsFydzsylQzDTlzFpH/NTLwv9n+2dm495F6PRyMGDB3F0dMTb25ugoKCHqu9Rc+XKFY4ePcrly5eLOhQhCoTMYRH5ymKx8Mwzz+Dp6MhHQUEoNhuzjx7lzNWr/Pjjj3cNF5yKP8VLW18i3ZoOgF7R83Pvn/F28sbd3Z3o6Ogc/aS8atUq5s2bh4uLC6NGjaJ377y//K4kX+HpDU9jsBhQbSpuejfOjDvDzGkzWbp0KWFhYXna0Mxqs9L+k/bEl45HZ9WxvPvyHM0NyQ2TycTatWtJT09HURQcHBxY+fUKRrf1omuTalC1M1QIxGQysXXrVlauXElISAidO3dm4MCBdOrUCb1ez5n4M+y+vBtvF2+CKgSxYP4CPvzwQwYPHsw777xz1zyh9evXs2DBAkJCQnIe7Mf+kJqx8Z5V0aNt9za0Gpunz202m2ncuDHjxo3jhRdeyFMdj7KzZ89y8OBBLBYLOp2OZs2aZTlNXIjHgfSwiHyl0+n49uuveeHECa59/Amxc+by0u8R3LhwgSVLltz1fFxaHNp/7Ldip7Mj3hDPqVOn8Pb2znG3fv/+/VEUBV9f34ceFoq4GYFy59BCRaOQbk2nYYeGvPLKK5jNZn7++ec81avVaPk/3/+jxLIS2C+zz/dkBTJWCFkslsyjE8xmM6ueK0Ob1I2o+z7B+mU35o59Fh8fH2bPnk3nzp25dOkSa9eupVu3bpmrn57wfILh9YbT078nDvYZhzyePHmS2NhYqlevzsqVK7PMU8rTcJDh76EmrWqGpJg8f+5PP/2UMmXKMGDAgDzX8Sg7depUZi+axWLJ1TCgEI8KSVhEvlMuXaKcvQM6mw3MZtT0dJaPG8fbb7/N6dOnszxb36s+DloHFFVBsSm42blR3aM6YWFhNG7cOMdtajQagoOD+eWXX9i0aRNGozHP8Vdyq4RN/ftlbDabeb7H82g0GqZNm8Y777yD1WrNU93t27fn5ImTnDx5Ms913I+zs3OWRMJms1Hq6k6c9RnnRmttRionHaJPnz50794dgF27drF7926OHz/O5cuXSU1Nvef+OWXLluXLL79k3bp1zJs3j5YtW3J+ywLUj6owu9RaBvg94JiCf6vdl1Szik0F9I5Qt1+ePvP58+f5+OOPWbx48X92K38nJ6cs83ecnHK2oaEQjxJJWES+03p4wD9exiajEb+6dfnwww/p168f6enpmfdc7Vz5vvv3tLVvi/tpd77r/h0OOoccz1/5p+bNm9O6dWvc3Nweaq5JDc8ajKs3DsstC172XtxcepPnej0HQLdu3XB1dWXNmjV5qrt06dL4+/vj6urKH3/8kecYs+Ph4UGjRo0yX15NmjRBcS6Ved+KjrLVG+Pr60tsbCyHDh1i5cqVTJkyhQEDBtCsWTNKly6Ng4MD5cqVo0aNGrRs2ZIePXrw0ksvMXbsWEJCQhg4cCCN61TD58BbKGlxlLCDUqe/zJiXkkOrU5szaqsJa8vxMGg7lM/9Vvw2m40hQ4bwzjvv4Ofnl+vyj4vw8HDS0tJQFAVnZ2dat25d1CEJke90RR2AePzYlS9P6bFjiP1kNqgq600mnHbsYNy4cWzfvp2JEycyZ86czOdLO5Xm+crPc+jTQ7jZuwHw22+/MXTo0Fy3PWvWLOrWqsGRH4LpVqcMlG8Eefip2yfBB9fVrrTv1Z4q9apkrl5RFIXp06czZMgQ+vbtm+sN5AA6duzIzz//TEREBFWrVs11+QepW7cuw4cPZ9asWdSqVYsDZ/6PJ268Q0lHBa1vYwKfX0mgnfN960hPTycxMZGEhAQSEhKy/DohIYGzZ8/iYIi7c4p2RnJks6loEy9AxWY5inPqB9OoWLE1+o7v5vmzfvHFF6SlpT3UcuhH3c8//8yyZcsICwvD09MTnU73n+1pEo85VYgCYjOZVKvRqF6+fFmtUqWKGhwcrMbHx6t1K/iqvz0/QL30yitq8v79qqqqanR0tOrt7a2qqqomJyerTk5OqtFozH2jJoMa/XZF9fbEEqptWllVXTdEVW22XFczc+ZM9bXXXlOrV6+uHjhw4K777du3VxcvXpz7+FRVDQkJUcuXL6++/fbbeSqfE5UrV1bPnTunGo1GtWrVquqmjRtV1ZyH7/N+zEZVDa6lqlM9Vet7rmryJFf1wOZvc1Q0KipKVRRFPX78eK6btRoMauIPP6gXFi5UK5cpo0ZEROS6jsfFmTNn1NKlS6thYWFFHYoQBU56WESBUfR6FKB8+fLs2rWLtm3botVoWOnrC+HhpCoKaeGHqbhqFWWrVSU2Nhar1crhw4epU6dO3rZVP7+d8o4mFLMC5jQ4/TO0nXTXtv4PcujQIQIDA7FYLDRrdnePwfTp0+nTpw8DBw7M9d4hLVu2JC4ujsOHD+eqXG7cuHEDLy8v5syZg7+/P92eeir/G9HZwSu7YP+naIzJnNE2otdLrzF7tvmBK3Vef/11fH19qV27dq6aVC0WLvZ/HtOff2I0Glnr7UPNypUf5lM8sm7fvk2vXr2YNWvWQx3BIMSjQhIWUSh8fX3ZtWsXvdq2pZ2zC5o7XdaqzUZaeDietWri4eFBbGxsnuav/E25ewQol93jqqry66+/4urqysCBA+/Zvd6kSRMaNGjAokWLGDNmTK7qd3BwoGHDhhw5ciRX5XIqNTUVq9VKcnIyH330EYcO5XxeSa65lIbOGbvpBgKhoYF069aN6Oho3nrrrbu+u8T0RA5eOUjouVBmTpiZ6+aMUVGYLl5ETU/HDrBXFFIPHsS1U6d8+DCPDpvNxsCBA2nfvj0v59cp5UIUczLpVhQaPz8/fgwJIfUfm5hZrFbsAwIA8Pb25tq1aw+XsFQNglLVsOmdSDGpXC3VCkr65aqKixcvotFo2Lx58317Cj744ANmzpxJSkpKrsPs3r07t2/fJiEhIddlH+TGjRuULVuWiRMnMmTIEALufL+FoWbNmhw6dIh169YxdOhQzGZz5r3rqdfpsb4H7+x7h/JjypPWKPcb/GlcSqBas26Cp3V1e+i4HzXTpk0jPj4+z+daCfEokoSlmDIajfzxxx9cuXLlnktMH1WVAwIoOW8uF2xW0p2cWJqSwpE7LyBvb2+uXr36cAmLzh4G/4LmhZ8YHl6JLguz3501O4cOHcLX15c6dercd+VJnTp1aNeuHXPnzs11G0FBQWi1Wo4fP57rsg9y/fp1nJycCA0N5e233873+h+kXLly7N27l5iYGHr06EFycjIA66PWk2xKxqKxoLHXsPLMSiy27HfgvRe78j4c8vHBqiig1+PauTNOTXK+/P1RFrdkCZGBjTnRuAmHl3/BDz/8IKdRi/8USViKofT0dL7//nv27NnDL7/8wp49e4o6pHwVEBREwObN9LgZi77PMzz//PPExsZSrlw5Tp06hclkolKl3M05yUKrB9+mDJ08n5MnT3H+/PlcFT906BDJyck5Ouhw6tSpzJkzh8TEnJ2385c6deoAEBoamqtyOXH16lWuXLnCRx99lKNznAqCi4sLGzZsoHz58rRp04Zr165hr7VHUf8eItIoGjRK7v4JOnDgAO9GROC9I4SAvXvwnjH9P7EiJjUsjLiFi7AlJ6NLSmKmuzulXR7+VPLH6Ych8fiThKUY+uOPPzAajVgsFiwWC1FRUVn2LnkcBAQEsGPHDtauXUv9+vV54YUXKFeuHEePHs3YOyQfXkKtWrWiXLlyvPbaa7kqt3//fi5dukSfPn0e+GxAQAA9e/Zk6SfvwZUjYDbkqA2NRkPt2rXZsysE8vGlkXroECU+nMlnpUrzdKNG+VZvXuh0OpYsWUKfPn1o1qwZtW21sSRYwAT2WnsmNZmUq4TFZDIxdOhQ5syZg4ePD7r/0OGGpkuXsvx/otFosMbH5bk+VVXZt28fy5Yt46uvviI6Ojo/whSiQMmk22JIq9VmeWGrqopG8/jlltWqVWPHjh20a9eOEiVK4ODgwMWLF+jT59l8a2PSpEmMGTMmc9XMgxgMBk6fPs3TTz9913k52Zn1XB2cQt/FtuIHNI7uMHRPxmTU+zZ0i3WdE/FRYmF2dXjhJ/CqkaP2smO8cIHo4a/im55Oeb2eSwNeICB0Fxrn+++5UpAUReGtt97C19eXzu06k3A7ga83f02nlp0o41QmV3V99NFHVK5cOUeJZF5dvXqVs2fP4uLiQv369fO0z05BcG7cGKPJhB5QdDp0np7ovb3zXN/Fixc5f/48qqpiMpnYsWMHAwcOzDxlXYji6PF7Cz6iVFXFaDRis9nw9/enZMmSmf94hISEcPXq1SKOsGBUr16dHTt2UIoE5lYO5VivS4xw3gLG5Hyp/5VXXsGlmgvPrHmGkTtH8set++8ue/jwYXQ6HYMHD85ZA6qK528f4qgHjTkVW/J1bL8ufHC50On46BLRKKCmXId1OWzvPtJPnsJ0Z5KrBsBqxVRMTu4dMGBAxhJmK2jiNLlOViIjI5k7dy6ff/55gQ0B3bhxg61btxIVFcWJEyfYsmVLgbSTF9/t28ckqwXnrl0o+dxz+K1dg/IQyVRKSkqWE7xtNhsmkyk/QhWiwEg6XQyYzWY2bdpEfHw8Wq2WoKAgevbsya1bt7Czs8NkMtGhQwf27t2L90P8VFVc1ahRgx3DKmB/KwqNAu4pURA6I3O57MOIM8fhO86X29rb7L2yl2Oxx9j+zHZc7P41t0NV4dACvLfPY1Y7LU+2bPrAui0WCxt+/pmnjAbs7qT+NquFeZ/MYtOM3bRp04aWLVvSpEmTLHNJTCYTN04epIItI7lQgJTrf3D5zJmHOmH3EmCzWLIs49b7+OS5vvxkNps5ePAg48ePZ9KkSURHRzNhwoQcJR82m42hQ4fy7rvvUqFChQKL8fLly5nnO1mtVmJjYzNPPy5KZ8+eZezYsezcuZOKd+Y+PQxVVTPnxdnZ2aHRaPD09MTR0fGh6xaiIEkPSzFw/PhxEhISMk/X3bFjBxqNBg8PD1xcXBg5ciSDBw+mY8eOxMXlfdy6OHM0J6DRZLy8NDYTasKFB5YxWo18c+YbPv/9cy7evnjPZ07FncLezh4AFRWbauNi0j2e/W0xhE6niu4GQ+pr0W7Kft5LbGwsM2bMoFKlSnwaHMzpMj1RdY5gVwLsXYl0a83hw4fZvn07kyZNwsvLi4YNGzJ06FD69euHr68viw4bMSpaVCBNUdhhV4527drRqlUrVqxYQVpa7pb8qqrKyI8/Iqr7U8QoClY/P3y//ALtnWGtpKQkLly4wO3bt3NVb375+OOPURSFmTNncvDgQdasWcOrr76a5af87Hz55ZcYDAZGjBhRoDG6urpmmYRqb2+PVqu9T4mCZzAY6Nu3L9OnT8+cqP0wzGYzr776KosWLaJ169bUrl2bhg0b8tRTT/0nJi+LR5v0sBQDaWlpWU7uvddJw5MmTSIpKYnOnTuza9cuXF1dCzPEglenLxxdCeY0DBaFzX86cr+ZCqqqMvSXoZyKP4XZambFqRX80OMHKpTI+hO4v7s/Kn+/hKyqFR+Xe/Q6nN+esTMuYK+xwZ93r8wKCwtj/vz5bNy4kWeeeYYNGzZQv379jJtXj8HtK+h8m7PY2ZM3oqL46KOP+OGHH+jVqxfx8fGsWrWKUqVKkZ6ezrfXErjaphTNTAb+sNOz01XHr6d/5dieYyxdupRx48bx3HPP8corr/zdxn2sWbOG5ORknp41C59Vqzi6cweOd3rjYmJi2L59O4qioKoqHTt2LNCeinuZM2cOzz33HBqNBh8fH/bt28ezzz5Lr169WLNmTbarmW7cuMGkSZMICQkp8OQhPT2dX3/9lZYtW+Lk5ESHDh2K/CU+ZswYatasyZAhQx66roSEBJ599lkcHBw4ePDg4/dviHjsSQ9LMVC9evUsB5YdOnSIJUuW3LXkcMaMGTRp0oSnnnoq1z+BF3tBM6HLLLbEV2Sb+wuMnL+Vffv2Zft4QnoCJ+JOYLQasWHDbDOz+/Luu56r7F6Z6S2n46nxxHjVyEjvkZR0uHt1idmrLunWO7vvanRQNmPL+PT0dFasWEFgYCDPPfccderU4Y8//mDZsmVZEwnv+vBEd3D2BKBKlSr079+fRo0a8dNPP7Fnzx66d+/OL7/8QmJiIlM/mspx5xJ85uHOFhdnUBVSbCn06tWLzZs38/vvv+Pl5UWvXr1o1KgRixcvJikp6Z7fRUpKCm+88QafffYZNpuNhISELBOMw8PDsVgsmM1mLBYL4eHhD/zjyE8hISHExcUxe/bszGslSpRg48aNeHl50bZtW65fv37PsmPGjGHQoEHUrVu3QGNMT09nwIABtGnThsGDB9OvXz9Kl37AxOkC9u233xIaGsrixYsfOnE6d+4cTZs2pV69emzYsEGSFfFIkoSlGChdujS9evUiMDCQ9u3b88Ybb7Bw4UKeeeYZ4uPjM59TFIXPPvsMv4oVWdb2SSIbBRLVvgOG338vwujziUYDDQZyxu9FQqMVvvjiC/r378/NmzfvejQxMZE5H83BZPx7kqDJYOLK2Sv3rLqTXyd2Pb+L+E/iWf/Z+rvuq6rKy1+eYe9tb2KSVZTKbbncZAqTJk3C19eXb7/9lvfee4/z588zfvx4PDw8sv0YJpOJVatW0bBhQ/7v//6PPn36EBcXR0xMDDVr1qR169Y8++yz+Gn9cHVyRa/Ro0dP2vU0vv7k68ydYStUqMDkyZP5888/mTZtGiEhIVSsWJFBgwZx6NChLMnsjBkzaNu2LS1btuTatWt4eXll6Y349wqzwl5x9sYbb9C0aVM8PT2zXNfr9SxbtoyePXvSvHlzzp49m+X+li1bCA8P57333ivwGN9++22qVq3Kiy++WOBt5cS5c+d47bXXWLFiBXv37uXHH3/kwoUHD5P+xWK1cSvNhKqq7Ny5k1atWvHmm28ye/bsIh/mEiLPCv+8RZET6enp6tixY9Xy5curu3btynIvcft29Vj1J9TT1aqrp6tVV882bKTazOYiijR/7d27V23SpImqqqo66c3X1Y3DAlTbnDqq+t2L6s3Lf6iTJk1SPTw81EGDBqkrD61UG65sqNZZUUd96buXVL9KfurLL7+s3rp16551v/POO6qdnZ1qMBiyXJ82bZoaGBionjhxQi1btqzaq1cv1cPDQx09erQaGRmZo7jj4+PVGTNmqN7e3mr79u3VzZs3q1ar9a7nkpOT1U8//VT18fFR23dvr77787vq6tOr1YsxF9UXX3xRDQ4OVpcvX67+/vvvd5W9fv26OmvWLDUgIECtWbOmGhwcrIaFhamenp5qTEyMqqqqeuDAgczv7y+xsbHqokWL1AULFqhffPGFeuPGjWw/h8FgUG/dunXP2PPi8uXLqqIo6q+//nrf57766ivVy8tL3btnt6pGblMNYV+rtQMqqCEhIfkSx/3s2LFD9fHxUePi4gq8rZwwGAxq3bp11c8//1xdsWKFunjxYnXx4sXq8uXL1djY2AeWPxadqNZ+b5vq/9ZmteE7P6peFSqroaGhBR+4EAVMUVXZ6rA427ZtG4MGDeLll19mypQpqFevkvD11ySu/Q7+mrCo1xOwd89jsZFWamoqZcqUITExEW3oB5j3f4aDVsWsatj6h42tJfozYcKEzC3zbaoNq82KXqsnOTmZN998k82bN7N06VKCgoKy1B0fH0/ZsmVZsGABQ4cOBeCnn35i5MiRjBgxgiVLlhAbG0twcDDPP/98jnaJPXfuHHPnzmX16tX07NmTsWPH5mj4wmg0smrVKmbNmoWnpycTJkwgPj4+y1ymnj173nPvGFVV2bt3L0uXLmXt2rXUrFmTTz/9lLZt27Ju3TrWrFnDunXrspR5/vnnad++Pf3798/2dOmzZ89y4MABFEXB3d2dHj165H2FjMUEp9ez6LNPWRB6mRNRMQ8ssmPHDlK+epZuAXqsNisGq46Sb50Bp+x7tB5WYmIidevWZdmyZXQqJgcoDh8+nISEBJYsWcK6desyJyZrtVqaNWtGjRr336+nzcehXIq/M2Rss9C7dimCX2hR0GELUeBkSKiY69y5M8eOHePYsWN82CiQP7r3IHHdj3DnxWYGEp0c0bq7F22gOXD9+nV+++03zp49m+2W4M7Ozvj7+3P8+HG0MeE4aDOe0ys2mpbXY2dnx/bt29m3bx/x8fFoFA16bcZ+FCVKlGDhwoV88cUXDBs2jFdeeSXLqhhPT0+aN2/OJ598AmQkK/379yclJYVjx44xbNgwnnzySYYNG3bfZEW9syy0Z8+etGzZkpIlS3L69Gm++uqrHM+1sLe3Z/DgwZw5c4axY8cyb948DIa/d8k1Go0sWLDgnhOwFUWhTZs29OvXj4oVKzJw4EDGjBlD1apVWbFiBSX/lbiqqkpISAjt27fPNlmx2Wzs378fq9WKxWIhMTHxriGaHLPZYGUv1I2jeaH0aX4dqEDagw957NCkNj2qatGrRhwUC24OwOmf8xZDDqiqyv/93//Ru3fvYpOsfPfdd4SEhLB06VJcXFxQVRWbzcYt5RY/aX9i8rnJ7Izeed86ElP/sZ+KRodRc+8/cyEeNZKw5LPz58+zcuVKVq1axZ9//pkvdXp5ebHhhx94xmwGkwnS00Gnw75GDUo8+ywjEhNZuDAHm5UVoZiYGDZv3kxERAQHDx5k//792T7buHFjwsLCoEo7zGQkIzatPebyTfH19SUsLIw333yTypUr4+XlxZNPPsmIESNYsGABoaGh1K5dm4iICLRaLXXq1CHyq9dgejn4sAILhz9JVFQUjRs3pk+fPnTp0oVTp07x/fffU65cOUqVKpVtXH/NT2nUqBHDhg2ja9euXLx4kWnTplGuXLk8fS9arZa+ffvyyy+/4OjoiNVqxWazYWdnx7lz52jWrNk9z0IyGo2MGTOGzz77jHHjxhEREcE333zDpUuXWL16Nb1792bLli1YrVZOnTpFiRIlqFixYrZx2Gy2LEmkqqo5WnL8b1arlajDIViiw1DMaTjbKThprXA+5MGFdXZo/jG51GZTwS7/d+lN/S2Ma+++y45XR3D2xAlmzpyZ723kis0KyTeIOneWkSNH8t133+Hq6orBYGDp0qVo7bT8aPcj0Uo0kbcjmbh3IqfiTt2zqpiYGEynQtDaLOg0Cg56DQOb+RXu5xGigMiy5nx0+/Zt9u7dm9mtHxoaSpkyZfLlADoNdyZL2mwAmC0WXDp0oMKrw/lx0Mu0bNmSMmXKFOi25Q8jMjIy83uxWCycP3+eVq1a3fPZxo0bc+DAAYYNWcLCOcG83KoSJaq1wafTB7yu/3tzK1VVuXr1KqdPn+b06dMcP36ctWvXcurUKVRVpUaNGnQPrEiF8yu4k/dQ6WQwvu46zp49y4QJE5gxY0ZmfTdv3rznypC/uufnz59PtWrVeP/99+nSpUu+Tl7V6XT069ePiRMnUrNmTfbs2cPu3btp1qwZzZo1Y968efTv3z/z+eDgYJ544gm6dOkCZPS6NGnShJo1azJ69GhUVWXKlCkMGzaMWrVqERgY+MD2q1WrxokTJ9Dr9ej1evz9/e9bxmg0cvLkSY4ePZrZC3jixAlq+ZVh79PWzB+HUlPT2LE9lC7Ve2Fvb599hY4l4cm3YPeHGNJNHLtupKxjXSrn7CvMkbTwcC4PG4aank4pVeWbBg2wt7cnNTUVR0fHwj8C41Y0fBGEmhaPR6qZuW+PokGDBhgMBl544QX0ej0n/jxBWqU0VF1GQqmicjzuODVL1cxSVUREBN27d2f48Fdp0KMJF+JSaelfilo+boX7mYQoIJKw5KPbt29nHEp258Vss9lISkrKn4TFyQmPAQNIXLsWNBqMViudpk8nuHIlOnfuzObNm+nUqROlSpWibdu2D91efitRogQajQbbnYTrfi+Gxo0bExwczOat21gVU4FRY3/LsnvrXxRFwcfHBx8fHzp27Jh5XVVVbt68yenTpzEc+x4l8RSQ0Vugd3CiZZ1yrNkfxQcffJClvri4uCw9LOfPn8+cn9K9e3c2bdpEvXr1HuZruC97e3uWL1/O9evXGTZsGMePH2fmzJlYLBZGjRrFvm0/8llbA8rNs1Q4Es+nHx+6q46YmBgCAgJo06YNQ4YMISIigt69e3Pz5k26dOnCkCFD6N69+z3PyKlduzavv/46y5cvx9/fHycnp8x7SUlJREREcOzYscwE5fz58/j7+1O/fn0aNGjAc889R926dXFzc4MDc2HXB4AGS6VmfLHhCmM+r8bUqVMZMGBA9itVWo6Fuv04sPknhq3+CJfwvhw8eBDnfDoPKemXENQ7B4k6KArpF/5k9erVGI1G9Ho9Tz311H1XgeW7bRNRk6+jqDbc9dDgypdUq7aWixcvoqoqPXr0oJRjKRz1jqTZ0kABBYUanlnnsWzdupWBAwcyf/58/ve//xVe/EIUIhkSykf//uk8LS2NN998k2vXruVL/V4TJ1Dxqy/x+eRjGuzfz4KVXzNs2DBGjBhBQEAAa9asoW/fvkRERORLe/mpXr16mRNINRoNwcHB2e6zUrNmTaKjo5k9ezajR4/O9R4UiqJQpkwZ2rZtS5ehU7FzcMRqA1XRYrBqibylRVVVvv/++yzl4uLi8PT0ZO/evfTq1YvmzZvj7u7OqVOnWLFiRYEmK5BxSreXl1fmoYt16tRh9erVHDlyhF69etFXsw3bhf1oDXE8W0OD/5V1d9URExODz53t+G8mG9lx3R5DlXbsOnSY/v37M3fuXCpUqMCECRPuGmravn07Xl5elC1bln379jFz5kz69u1LQEAANWvWZMuWLRiNRpo3b87y5ctJSEjg+PHjrFixgtGjR/0xyzIAACAASURBVNO6deuMZAWgxWgYHwVjTuA+5Gc2bNzEqlWrWLJkCfXq1WPTpk3ZzmOiRFna9hmC0WTG19eXIUOGZP9sLtlV9MX6j4nEFzp2xGAwYLVaSU9PZ+/evfnSTk4ZE6+iqH8l8VDO3Z6FCxfi5ubGnj17+OGHH5j89mS+6f4NulgdXlovpjSfQt3/Z++8w6K4vv//2gZLFxDsXbF3RQULNuy9N7CXWBJ7jUZj19gVjMQGKJaoGMVesSOIiiJgQUAQKdJZts3vjzWbEBVsMX6+P14+8/gMe+fOnWGZe+bcc97H5q9Yqa1btzJ8+HCOHDlSYKwU8H+agiyhL8zr168JCgpCJBJRrVo1NmzYwLZt21i4cCFjxoz54hoIKSkpTJw4kVu3buHp6UlkZCRTpkzhypUr+kyabwmtVotYLObcuXP0798fHx8fWrdu/Va7evXqERUVRWxsLAYGBp91zqXTRtHM8AElSpWl56rzHL1wi+9H9KeZ+QumTJsBdYegkhjRqFEjUlNTkUqlTJ48GRcXl1xehn+bgwcP4unpia/vuwNNNcvLIVH8LXi1Qitdlec3CIKAkZERr1+/RiuW0eqXiySm56DRaChsbsT5aU6Yy2WEhYXh4eHBrl27KF++PI0bN8bY2JgHJ7YzpV42Kg34JFXFws6RunXrUqdOHYKCgsjJyUEQBKRSKT179qTQJwR6C4LAH3/8wezZs7GysmLFihU4ODi8s+3ixYt59uwZwcHBDB48mMmTJyMIAs+fP0el0hkzeS4xvYOYqCgONW9BG1NTZDY2hIweRUL6X4U2zc3N6d+//0df16fw+++/c3TlGLa1F5BJxeQo1Wx9XhbfGEtatGiRS39GEASsra0JDQ3VG/5arZZZs2Zx5MgR/Pz88l3CK6CA/3UKDJYvgFqt5s6dO6SlpWFnZ/eW7PmDBw8YN24cCoUCd3d36tWr98XHcODAASZMmMC4ceMoVKgQbm5uXLly5T9X68yLy5cv07t3b3bv3k379u1zfVazZk2KFi3KmTMfEKyZB+np6ZQtW5Z9+/YxcOBAjhw5gkPdqijX1kHIeo3MwJDXgikNflOSnJrB3LlzmTZt2tePZQAWLFiARqNh8eLF727w+0gI/QPUCpTIMOi4DOzfSLarFGRc2sSWXxYzw/M211MtGbX7Nhk5uqUwU0MJs5oVRhQfpo83uXPnDqAL/LUUZxI0QoqpgQgBEBmaww/3wMiS169fc+TIEb2onVQqxdHRkcqVK+d7TdHp0Vx9cZViJsVoXrK53lum0Wjw9PRkwYIF1KlTh6VLl1K9eu6YjJcvX1K1alUuXbqEs7Mze/bsQaVS8eKFLkXawMCA3r17vzfz6Z8IgkCPHj2oXbs2CxcuBMDDwwOFQoFcLkcsFtOkSZPPKkD5IaSmpjJp0iSuXbuGp6cnjUtKIfomaptqOAycSWhoKBERERQtWlR/zPPnz2nSpIm+ant2djYuLi7Ex8dz+PDht0T5Cijg/yIFS0JfgFOnTnHv3j2ePHnC6dOn9Q+VP/kziHLcuHF06NCByZMnk56ejjIqitTjx1GEhX/2GPr06cOdO3e4ceMGe/bswcnJic6dO5OZmfnZff9bNG/eHF9fX1xcXDh69Kj+54mJiTx79uyzPSsAu3btwsHBgTFjxrBq1Srd23zkFQxQYygVIdYqMdakcXL3Gmxtbenevft/YqwA3L9/P+8Cd103gf0Y0m3q89MVUNQcrPu5IIBnD4yurWCqvYCwtTmZYZdQKFX6Q9Mzsvhp5mR8fX2xtrZm+vTphIaGkpycTEJCAr8uHI9W0BkTInSTaqdGdlStWpU+ffrkKgWhUqm4efMmx48f5+rVqzx48IAXL16QmZmZa+nm8evH9D7am9W3VzP98nRWBqzUfyaRSBg6dChhYWE0b96cli1bMnz4cKKjo/VtihYtSvv27bl48SLe3t6MHTuW6Oho1Go1arUapVJJZGTkB9/fQ4cOERYWxpw5cwCdh2P+/Pk0btyYRo0a0aFDh3/dWLl06RK1a9fG2NiY4OBgGjdujCLTnJgDT3m0ci/ZkZEMGTIEJyenXNd2584d/ZJkQkICrVq1wsDAgDNnzhQYKwX8f0OBh+UzEQQBDw+PXA/qSpUq0bJly3e2T0xMZMaMGcSeO8cv5hZIDAxAo6HY0iVYdOz4Rcbj5ubGjz/+iJ2dHZaWlvj6+r4zyPJb4fbt23Tq1InNmzfT3ckJtxUruPLsGVdv3CAm5t1y+/mSk4H2yQWGjp7A/UxL2rZ1ZuXKNxNm1E00u7og0bzROJHKYUIAluVq8+TJk68bdAkIGg2pR/9g+YwZuG7ZTNW/BRC/j44dO9KjRw9dUbzMJLSr7RALOm+KQi2w8aEVfoWH8dS8FlKZAd+3LMsk5+pv9ROdnMXgX69A8jNOyudgJNb1oRIZsCC5O0Fh0fpYFxcXF4yMjLh58yZPnz5FIpGg1WpRKBSkpKSQkpKCSqWiUKFCFCpUCJPOJmhqa3QWECBBwu1Bt98pRpeamsrKlStxd3dn2LBhzJ49G2tra/z9/Rk1ahShoaGsWbMGhYmC+wb3kQpSGoka0bFFRypUqJDv/Xr9+jU1atRg//79ODo6cubMGQYNGsSpU6c+qLjk55KTk8O8efPw9vZm27ZtdOrUCQDVq1c87dARbVYWGkFAa2REdX9/Nm//jZUrV+Ln50etWrVYsGABarUaFxcXOnbsyMCBA1m0aNF/XpyxgAK+JgUGyxfA29tb78lQq9X4+vpSrFgxRo4ciaOj4zsfKnd79MQgNFS/LytViopnTn+xMYWFhTF48GCioyLZ0bcI7UtnIypUFvrsgEKlv9h5vhTBwcGs7dqVGWbm5KjVGJYoQaeQ+1y9c0cfRPrBKNLAvRmqtJfkKBQEptvQdF2YPn4oJSWFfSPtGFVDhVgsAedFqOqPwtjYmJycnK/uYYn5YTIZFy+iys5GZmxMuQP7McwnHuHy5cu4urrSv39/dm/fRsRIJcayN8UbZcaIum7E96mMDRs3cvbMmXd+B2NjY2n/y3lSJeaIxBKcJUEsNTtAYXMT6LgKyjZFqVTSokULunbtyvDhw3n06BGhoaG5/k9ISKBixYpUrVqVihUrUrp0aYoWLcp1rnMy5SQadFlzgkIgdnYsTk5OtG7dmtatW1O5cuVcY4uLi2PRokUcPHiQKVOmMGnSJBo3bsz69eupal+VDvs6oJFoECPGTGLG2f5nkcvyXxIaOXIkhoaGbN68mRs3btClSxcOHTr03tT6L8m9e/cYPHgwFStWZOvWrbmWadPPniV21iy0Gbrnh9jUlFLbfsW4bl327dvHohkTuP59OQxeRxAnKUG77QnMXricYcOG/evjLqCAb40Cg+ULkJyczJkzZ8jKyqJ8+fJUqVIFLy8vvedl5MiRuLi4YGtrC4AmI4PoMWPJDgzU95FpbU39K/5f9I1JpVJxalF3Wmr8MTEQgUgMNlXhu2tf7BxfCkGrJbR2HURv4iREMhnHzEypMH06PXr0+LjOgveiPTYZsVqnHCtIDBFNCgKLkgiCQN++fSlatCgb167W3ROJjJcvX1K7dm3i4+O/9KXliaBU8qhOXb2+DiIR1uPGYTtp4jvbp6Wl8fvvv+Pu7k5AQAASiYSePXuyaUIHbC7PAnUO1OwD3d0Z+913VKpUialTp+bq4+/ejMIjPcgR/bX05mRnw87h9vr9CRMm8OLFCw4dOvTe72ZGRgbh4eF6A+ZPY+bpi6eUnVUWaWEpIrGIjpqO2FvbExcXR0BAAOfOnUOj0eiNl9atW1OyZElAl1I+b948rly5gpOTky5mY5kL8y7NQ2SoG4ex1BjPjp7YWdrleY/Pnz/P0KFDCQkJISoqitatW7N9+3a9l+PfQqPRsGbNGlauXMnq1atxcXF56x7mPH7M4x49Ef/5vZfLqXD6FLI3z4qE9S0plBiETAI5akgq7kTx7/499d8CCviWKdBh+QJYWVm9lU44depUpkyZwrVr1/Dw8MDOzo42bdowrnNnSm7egvBGq0VkZIRWEPglM4Okdu3w8PCgdOkv4wGRyWR0rlcK7r55SApahOQnfJNOZEFA9OekDWjVasoWK8atW7fea7BkqbLYELSBZ2nP6FK+C53Kd+LKlSsEe/3KMOssTA3+jMkQQKKblD08PAgPD8fT0xOkf2WY/FOD5ashkyEyNER4I8svMjREap17SUqpVHLq1Cm8vLw4fvw4pqam5OTkMGDAAB48eICPj49uImzqClo1SGQIgoCfnx+nTp3S95OTk4ObmxvLli2jY8eOBAcH4347hX03n6FGgpFMQve6JdhwLoIdV58hVitIDXhE4Onf8zSkTU1NqVev3lvB5Gq1midPn3Dr4S2iwqN48ugJK0NXEhoaqheqK1GiBJmZmWzbto3JkydjY2OjN162bNnCs2fPmD59OpcvX0ZilUavmplkqkScMzFGK2ixMco7qDw7O5uR89fRfMoWdlyOYNXY7qxdu/ZfN1YiIyNxdXVFEAQCAgLem7GXaGTEipQUZhYrhoGREUUXLNAbKwA2ohR4k1hoKIXi0rR/ddwFFPAtU2Cw/IuIRCIcHR1xdHRk3bp1+Pj4EL9qNUXVar0EubRwYcodPMBuY2NWrVpF/fr1WbJkCaNGjfosb0tOTg5Xr17F+LUl9hJDxJocFGqBW7FaGmRlfdV03Q9BJJGQ49wWrd8J5EZGpGdlEV5KJ8P/PiZfmMzt+NsotUpuvbjFzKkz0TzS8N2YkTx8dIdq1gKmxnJo/B2Y2vLw4UPmzJnD5cuX38os+a8MFpFIRMkN67k69zt2txTIsTZkkmMxmgkCN27cwMvLi/3792NjY0N2dja2trbMnDkTV1dXDAwMqGlfE68TXvRv3x+ZWAZv6io9fPgQsVhMlSpV0Gq1+Pj4MG/ePKpWrcrZs2epWbMmAItKlOSPPR5Ud2yHa5s6GEhFuF18QrZKA0gwcZ6CianZJ12bVCqlsl1lKtvlziYSBIH4+Phcy0rp6emYmJjw/Plzjhw5wpEjR0hKSqJ48eI0b94cx/rVWWd+E8skMUhE9ErNRDFoL5byvAt+jly4CRxGcOWliCsxz2k4diUDBw74pOv5EARBYPfu3UybNo0ZM2YwZcqU90oZaDQaXFxcaDFqJNXnz393f9V7ori4BiOJFmTGUKPXvzb2Agr41ilYEvrKPB82jKzrN/T7r6QSYmbPpmfPnhgZGRESEsKwYcMoVKgQHh4eedZ/yYtjx47x8uVLtFotdopgGhg8RmRTharjvVEi4/79+99cyvPAgQNxLl6CHk5OPDM1oe2b7JT09PR3xpXU86yHSvtXJkxjk8b82ktX4bZf3z74bltG5x79wKoc2dnZ2Nvb88MPPzBixIi3+jpw4AD79u3j4MGDeY5Rq9USFRX1yTog7yJHk0OTnU1QSVQgAolWQsavGUiSJVSrVo27d+/qKzr36NFDPwH6PfVjjv8cNCoNZa3L4t3JG3MDcwBWrVrFs2fP6NmzJzNnzkQikbBy5cq3VJCTkpIoX7488fHxyOVyfr38hJUnH6F+4+wykIi5PrsV1qaff50fQkZGBmFhYTx69IiQkBCuX7/Ow4cPaVcsBbdOcr3XLEsl4CZypZJ9W73YXZEiRXIZokFBQXRdfQJp6b8E/yyNZdyZ/+8UOkxMTGTMmDFERETg5eWVd8YXsHz5cvz8/Lhw4cJ7jZoTfse5tWUsP7q2RVyxNdQZ+E7V5wIK+P+BgrTmr4zNxImIjIwQm5oiksvJ7tULT09PSpYsydixY8nKyuLatWu0bt2a+vXr4+7u/kkqn69evdLL4IfL63Cz0kxMem3gQUQkhoaGVKhQgbCwsC99eZ/MixcvOHnyJN3nzcWicyfqODnh5+eHQqFg+/bt7zymtHlpxG++wnKJHKfqTiiVSkaMGIGxiSmdhs8Eq3KAbomuevXqDB8+/J19fYiH5c+qx+fPn8ff358DBw6geCPz/jnEZsSiFtT6bBpBEKjTvg5paWkoFAp+++03bt26Re/evfUTmyAILLi2QBfQKoOY9Bj2hO7R97l//35u3LjBuHHjmDVrFjdv3nxnyYaTJ0/i5OSkn+grFxKhVuqq/crEIkpZGWFl8vnp5R+Kqakp9evXZ9CgQSxbtoyLFy9y4cIFRIZmiP5mtIpF8MtGN0aMGMHIkSNp2rQpFhYWWFpaUrVqVX1gr5VMjaB5Ex8CWBrqAns/pbBjLgQBUqIhXRfz5OfnR+3atSlfvjy3bt3K11i5efMma9aswcvLK08PzMxZs6k9ciPiPtuh7qDPNlaSk5O5cOEC/v7+ZGRkfFZfBRTwtSlYEvrKGNerR/k//kAREoJhpYpUqVCB9kB0dDS7d+9m4MCByOVyhg0bxqFDh5g2bRoHDhzgt99++yjlWmtra169eoUgCPoYiLp162JlZUVYWBj29vbUrlOb8T7jidBGYGdlx/wm8/Vv6F+NxAj44wckkQ9ZO6xxLvXUhg0b0rJlSyZPnqyvjwMQ8DKAewn3GFVzFDvv7eRhzEN6NOxB/8r9WbZ0GRkZGblSPg8fPszJkye5c+fOe5fZPsRgyczMJCYmRl8rCnSxClWqVPnky09JSWHdz+tQV1AjkUpABGqNGu1LLSdPnqR27drvPfbv3iW1Rk22OpvIyEhmzpxJYGAgq1evZuLEiXmmtB8/flwfz5GUlMSEQd3o2Gs4mgrNsDE1ZIpz5f8sdVYZ84KciHCWLFtGowFzSdEeQZpyD0MDGesCpfR2HYq3tzehoaE0bdqU8+fPUyTnGarg/ZwLjGBpYjGyAg4idSiExro80pxUXh3ZTp01D0hOTsbKyoqiRYvqtz89Nf/cLC0tc98DrRb2u8DjMwiClhOplfjuYCx79uzRf0fzIi0tjYEDB+Lm5pZnvJqnpydmZmZ069btS9xOMjMz8fX1RaVSIRKJiIyMZMCAAe9MMy+ggG+RgiWhbwxBEPD392f79u0cOXIEJycnLCwsOHbsGIsXL2bMmDGIFSmQFgvWFeE9KZ3Z2dlcvnyZlJQUSpUqhY+Pjz67pEuXLqhUKhwnO5JZKxOxoRiZWIZ9UXvc27p/vYvVqGFNFYTMREQIaCVyxC5HoEwTfZO1a9dy8eJFrl27xtGjR0m0TWTR9UWotWqkYilTa09lZJORZGRkEBUVRZUqVdBoNGRkZCCTyYiKiqJhw4b4+vrSuHHj9w5l0qRJVKhQge+///69bRQKBV5eXnrPlVQqpUWLFh+kA/JP1Go1Hh4e/PTTTzRv3pwzd89gM8AGy6KWTKg3gSH2Q/Lto9e6XoSbhmNoYEhWZhalLpbi9tnbtGnThoSEBM6fP5/vGIoUKcLdu3cxNzendevWtGrViuXLl//n+h4ZV68SM34CGkCZnU35nTsxrl+PxtVL473vEDMXrsDV1ZXu3btz+PBhZs+ejY3iKWddTDGSCmSp4E66JWte1Gffvn1vTcpqtZrExERevnz51hYfH59rPzMzM5cx06aMwFjrGxiKdAajUitGMeoK5qXe1rl5F4MHD8bExIStW7e+t012djZ2dnbs27fvvaULPpanT59y8eJFvXfpz2KP39rScAEFvI8C0/obQyQS0bx5c5o3b05aWhr79+9nx44diMViFi1aRMTxTaxulIhYIgVDMxh1AcyLvdWPkZER7dq10+87ODjQs2dPhg8fzsGDB1m3bh31u9fnyosrgO5tPSQx5Ktco1ar5dGjRwRePE6/9CQMxDqbWaVUsH3+aILlDpQrV45y5crpAzF3795Nt27daLixIQqNbhlGrVGzI2QHmZmZaLVafvjhB0QiEQMGDEAmk6FWqxk0aBCTJ0/O01gBnYelUaNGebaRy+U0aNCA27dvo1AoKFasGOXKlfvo6z937hyTJ09GKpVStWpVLl68SHpyOvdH3ten9ebHoUOHCFgTwOajmzl26RheS714nhJO6PbviAq+RHyD/N/0b9y4QalSpbCysqJ9+/bY29t/E8YKwKtVqxEUCsToqiq/3rgRiz3edB44hk3b91C5cmUePXqEWCymV69e9OrVi5c7h2IUqautZCyDxoVes23Br+/0IEilUr0Bkh8KhYL4+Hi9IWP07BS8/isOTaXRsmvbFtoOnJivt83T05OgoCBu376dZ7sNGzZgb2//xYwV0Ak0ZmVl6RWktVrtF6uC/SloNBrS0tIwMTH5IqrWBfzfpyCG5RvG3NyckSNHcvXqVfz9/Rk8eDAzqkQj1ihAmYGQ8Qour8y/ozc4OTlx7949zMzMqFmzJhavLZBLdB4arUqLRabFZ41XEAQ2Bm2k5f6W9P2jL09TnwK6jKVr166xcuVKunbtio2NDV26dOGA30VeZ2vRvPHxyQwMqdNpJLVr1yYpKYkDBw7g7u7O3bt36dOnD3K5nNCAUPgz+1kL0Y90Uu6NGjXizJkzZGdns3r1akiLI35xNc443WdmsWugSM1z7AkJCR/0plmnTh0GDhzInj17KFGiBGKxmKD4ILxDvXmQ+CDPYx8/fky3bt0YNGgQKpWK5ORkevXqRUBAABYWFvkbK8+vweFxxPtMYvL4Ubi6ujKu8ziS/JM4f/Q8+/sYYRu6i6YmkfRQ+MCzvCsPHz9+nHbt2tGjRw/Kly/Pxo0bvwljBXRZY+/aHzVqFHv27KFs2bJvxWAVrdIYQfqXxzFJIaJCxYqMHz+ee/fuffJY5HI5ZcqUwd7enq5du9J27HIMCxUDmQkaiZy7CWJ2Hb9Oq1atqFevHqtWrcpVYuBPHj9+zJQpU9i7d2+eWXpJSUmsWrWKpUuXfvKY/87r168ZPHgwc+bM0QeKGxkZ0aZNm/8sWzAjI4O9e/dy5MgRvLy8vlhF+wL+b1OwJPQ/hrC8DCJFCgBaQSBAWZH6P9/66HXoCxcuMGLECKoMqoDENoVSz7OxP5pBustIJs6b90ljO/HsBAuuLSD7jWCbXCXH2NOYwMBA7OzsaNasGU2bNqVJkybs37+f5cuXs3PtAjpqz0FWEjj+ADXe1lypV68eq1evxtraGve97lywvYCskAyJUoLGW0PIlRBEIpF+k8lknB5iQuMiSmQSEYLYAGr3Q9Rt09uD1mrh2npu7llOqab9KN5vDUjyv5dDhw7FwcEBm5Y2LL25FEEQEIlErGy+kpalc5dlSE1NZeHChWzbtg1jY2OKFi3KrFmz6NOnD1KplODgYFxcXPKeVF8Ews5OoMpGoYZ7iWLGB1ZkyJAhmJiYEBUVxY/COqR/fwVpOBI6/fJ2X3F34Y/viQy7j1d0ce4KVdi7d+83Fcvw5NgxUqZOw9jEBLFIROmdOzGqWQOAXr16Ub58eS5fvszNmzf/OkijIvTnJlTSRpAjNcN5exIpJuVp164d+/fvp3Tp0owZM4a+fftiZGT0yWMTBAEUaYjCT4DUkGRbB4aOGEV8fDw//PAD58+f59ChQ9SoUYOBAwfSu3dvzMzMaNq0KQMGD6BFvxYYy4ypYvVub8yUKVNQKBRs2bLlk8f4J35+fowePZoePXqwfPny/9Sj8nfOnz/P48eP9ftfs0p2Af+7fDtPqAI+CJHTLDi3EEQS1Eolk/aGc2+dGbNnz2bevHn69N8/J9D30bJlS+7du8fZTp0p/zIdmUiERmLMZfetLBGJmDt37kePLTw5XG+sACikChbNWYRjE0fMzXXBvAkJCQwdOpSkpCRu3rz5ZkllfJ792tvb8+DBAyZOnEiTu024uOwiqZpULu3bTbnGsTgPGEeKWWUCAgJYtWoVISEhlDL+HZlEdy9EWiXX/9jF4CknKFasGMWLF9dvzoZ3qJl6jka2OWie+KA9JSez2Y9kZGTkuSUnJ7NlyxYMBAMU8r8yhdyDttCyWGOQGaHRaNiyZQtz585Fo9FQr149fvzxR9q2bZvrd/PixYv8yw+En0ZQKRABcinUs9WQlZaMr68vpUuXplSpUmRJzDEX3giLSY3AutLb/aiyYVcXBEUqZc1gWuUYJCO2fVPGiiAITHJzo2WfPnzXvRsGFSogtfxLb2X8+PGMHz+e2NjYXN/zjVvcWe+VwhX/RxQtVozRZXbx/fff4+npya5du1Cr1bi7uzN16lSGDBnCmDFjPjpg+ujjo/x842fUgpoRNUYwofoErABfX19++eUXJk+ezG+//camTZs4efIkNw65M2XbDMIUVijlFlwufRmfsz5oBS3dKnZjXuPcLwfPnj1j165dPHz48LPuYVpaGlOmTOHs2bPs3r2bVq1afVZ/X5KsrCzCwsJyZUd9dtZWAf9f8O08pQr4MBqPg1L2kPQUgzJNuD6/OLNnz2bJkiX88ssvTFsxjUvWl0jISsChhAPrWq7DUPJuDQ1TU1NqWVuT80aOXiII1C9WDIf588nJyWHRokUfN7Tijdl5fydqkRqZSEZFq4p0aNdB//mFCxcYMmQIgwcP5ueff/7ggoz29vZcuHABjUbDkiVLcHNz43XoJWwPdkMtl3O4h8Dm0JdERtrg4+NDSEgITr2KMMQ6W1fgUGZMXZc5nJzZnri4OGJjY4mNjSUuLg4zsT8SI10RRIkmh/ATW6jcaRUSiQSZTIZcLsfMzAxLS0sKFSqEtbU1NjY2WFpaEhAQQDVpNbKFbBCBSAuFXwSh+rkoR5IqMGZvJGlpabRs2ZJly5bRoEGDd15ffgZLamoqf/hdpYeBgMmbWyYxtuTBo8e501xf9uXVxraYkYlBtY5IGo58u7P0ONCo9WrHhoaGiBJDoWzeMT5fk4MHD/L8+XMmHT78ztiGli1b6g2V+Ph4ihYtiqenJytXrsTf35+ixXQxXa6urqSnp7Ns2TJGjBjB6NGj+eOPP4iOjmbbtm20bNkSOzs7xo4dS8+ePfPV1EnMTmTRjUXkvCmauTNkJ9WMq+FY1hFDQ0OmTZtGkyZNGDBgAAMGjsvscQAAIABJREFUDGBplxJ0swtGVUFOdnYyY1OsufsqHLGhzpA+HHGY0bVGY2v8l7LtvHnzmDRpEkWKFPmoe5Zy+DBpJ04ir1yZ+9WrMXzMGNq1a8e9e/f0Lwv/Nenp6WzZsoW1a9fSsWNHHBwc9C9Y/1RJLqCAd1GwJPR/hJycHMaPH49/FX8MbHQPeUOJIaNqjmJM7THvPS5p+w4SNm5EyM5GKRZzUKUko3NnNmzYwNSpU/+qcPwBpKenU71bdRzHO1KleBV+qPcDFoYWqNVqFi1ahIeHBzt37sTZ+eOEu0JCQhgxoAfTZs1hvdtv+Pv7IzoyDuHuXv3Eq9EK/HCvCkJJe65du8b1a1cxvOsJMQFQsQ3U6ptrck9ISGDdunXYhW1mQDURBmItWpGUKOOabE1uQkREBM+fPycuLo6kpCRUKpV+8vwzLVRkVZoK9mWRdU5AJBOw1KrxjHtJSbWGTKVAC28tkZlyOnfuTKdOnXB2dsbC4u04oQULFiASifjpp59y/VwQBDw9PZk1axadOnZgQztDjMIPgbE19NkNJeu/1VdoaCg1atQgODhYr2abC3UOypV2SBSvkYhFIDOCEWehaI18fw8vXrzg3r17yOVy7O3t/5XlhZSUFKpXr66vqvw+Nqxfz8Wdi1g4dwbPxeUY+d0kzp8/T7Vq1d5qu2TJEjw9PbGxsUEul+Pt7Y2trS0qlQpfX1+2bt3K3bt3GTp0KKNHj6aiqQKO/aArotl8OtTqQ05ODtv/2I5bihuCTPfIFHIEUvanEH8pHolEgoWFBRYWFhgbGxMVFUXkGA3mb2wgLSKi7FrSRxujDxo3EBvg19OPIiY64yQwMJDOnTsTERGBqanph9+zo0d5uWABQrYClVjMNWUOZTZupEOHDvkf/C/w55Typ+fr9evXbNiwgU2bNtG2bVvmzJlDjRo1SE1NJT4+nkKFCunrrBVQQF4UGCz/x6jvWR+lVqnfb2TSCI/eHu9tLwgCqYcPk3n9Bsb16nHZSM7YceOoW7cup06dYvz48WzYsOGDzr1gwQKePn2qq9PzhujoaAYOHIiRkRG7d+/+oKyMfwwQ7e+jUAXvRyQS8bjsIJ4V7YTszGxamT1H+rfYTI3UhBIblPhfvU6lSu9YDgFiYmJYvXo1u3fvpm/fvsycPJFy91ZB5FUoUQ96bAWjQm8dl5mZSVRUlG4iinyO5xMZ0RpzRIjQJIRR5cES9jmLsXpTmC9bK8WvkCvJZlV58uQJgYGB3Lx5k/r169OxY0c6depEVbsKiA6OQBN6jGyJOaYjj0JxnSrr3bt3GT9+PAqFgs2bN+ebwfR3ChcuzIABA9i4ceM7P29WrQTLW4lxrFcNmk2HSm3y7TMpKQlfX1/UajUikQgTExP69+//xStbjxs3DkEQcHfPI71eEFDuHYIy5CgSqYyX6WqS+x6lfpN3Z0YJgsCMGTO4fPkyzZs3x8fHBx8fn1wG0ePHj/n111/Z67mDB8M1mMk0iACN2JBVCS1YvfcCNWrXQD1ETaY4E62gxcTAhH3t9hH3OI6goCCCgoK4f/8+4eHhKBQKoidKsXoTA6zSgE+kGb86lSPHMAeFQkHZnLIcHX9UP8Y2bdrQp08fxo4d+1H3LHrCRDLOntXvi0xMqBKYdxbSv0XC5i0kurkhkkgw/uF73CMi2Lp1K926dWPWrFnY2eVdqLKAAvKiwGD5igiCwN27dwkNDcXExAQnJ6cv7q6d4z+HM8/P6N7i1BC5JpJyknLs2bOHGjXyf4sGnUru6NGjuXPnDjExMYwYMYJff/01z2Pi4uKoUaMGgYGBeoE7X19fRo8ezZQpU5g+ffqnTW4RZ3UiXapMABRq6HPFjp69euOavhFRTrrecaLUwOEKK+k39G2P0uPHj1mxYgW///47w4YNY+rUqRQvXvzjxwM8iE2lt9v1N/V2wMRAwtb+Vai61wFTspBIpaRjyk/xzjyJiuX58+c8f/4crVaLlZUVIpGI5ORkJjWU8KMjyCVv/gTNi5My/Do//vgj+/bt4+eff2bkyJHvVUJ9Hx06dCAgIIC4uDj9sptGq+FFxgt2bd3FojmLiI+Px8rKKp+e/iIkJIQbN27oNWgkEgn9+vX7KE9Afly7do3evXvz4MEDLC3zqBGUGgMb6+kqUwNqsSHSbhug9vuDNgVBYPTo0Tx79ozx48czduxYfa2flJwU1Fo1NsY25LwMQ+TuiAE6jZVMpcBvLypQqvt87OzsCHwQyB8v/uBl4kviT8cT8yCGypUrU6NGDWrWrKnfSpQogeihL5rfR5GlUKKVmRDSZCM7Dp/g+N3jlClWhofnHuLn50fTpk05efIk33//PSEhIR+8VAq61OAjgwZR/k4wcpEIxGLk1apR7uCBD+7jS5F97x7PXYfqC3nmCALejg6Mnz//o0QvCyjgfRTEsHxFnj17RlBQEGq1mvT0dI4fP86AAV+2ENsix0XULFyTyLRI2pRpg6mDKQMHDqRWrVo0bdoUb29vSpUqlWcftra2HD58mF27djFp0iQ8PDxobxhEz4oqsCwH3beAee7JfuHChQwbNoyyZcuiUCiYPn06x44d48iRIzRp0uQ9Z/oAFCn8vby0gaGcPw54g40dvGiLaltbZKhRaUXEqs3p5zo61+EhISEsW7aMU6dO8d133xEeHv7ZRQ7fZeI/iIhixC4NAb/NxdzcHMva/Vkvz738k5KSQlRUlN6AqfbsN+SSp/rP1SlxVKxYkV69ehEaGoq1tfUnja9BgwY8evQIHx8fhgwZQqYqE5cTLkSlRZFVKIsBCwd8lLGiu2aBnJwc/WQqkUg+K9Pmn6hUKsaMGcPatWvzNlYAxDL42+9AKpHqiz6+D5FIhLu7OwMHDmTXrl0EHnFDemQUG9atZ5dVIRBLKacsR9LOWA40UWElhzcx2+y/8oRrnr0QiUTY2NhQs2ZNOrXuROcdnalSpcr7A5ard0dSxgFl5H1cpi4l6/Im9uzZwybLTRw/fpylUUtp0aIFPXv25Pbt26xcufKjjJXo6GiGDBmCRBBwd3ZGCAhAVrYsJdeu+eA+viRxISEolEr+jAQyNDZm0eQpGBUYKwV8IQp0WL4iCQkJuaLh09LSCA8P/6LnkIqlDKg6gNmNZtOwaEOqVq3KnTt3uHz5MrGxsZQpU4Zu3bqRmpq3LolIJGLo0KHcv3+feZ3K4mwWDq8jddoe3n1ytX306BG///47c+bMISwsjMaNGxMXF8edO3c+yFgRBIEXL14QHh5OVlZW7g8rtgYDU5SCBCUyxMVq6hR+AUrU45eEFuy6q8ItWIT11Ov6OJWAgAC6d+9OmzZtqFWrFk+fPmXRokVfpCJztWLmNCpvhZFMjKDMpmJhY1ZNH8WydW6Yt50OjcaA/O1YlUKFClGrVi26dOnChAkTaDVxky6bB1BoRJyMFCOVSrl9+zZ79+4lOTn5k8ZXpkwZKlWqxIoVK9Bqtex7tI/I1EgUGgViAzEPSz/8qPpUjx8/pnv37mRnZ2NsbIylpSUdO3b8aM9PXqxevZpSpUrRt2/f/BubFYHG49CKDchSi6BIdajSJd/DJBIJnp6eKHMUWPqNQm0m4FnIDBUCKq2KR5pHhGRF0PmwjIDX5lyP0fC7qBNPskyYOHEiT58/Zcr6KRSpXwQvLy+aNWtGjx49+OWXXwgMDMxVskGPqS3WNVpz1O80Tk5O1K9fn2vXrtGrVy9u376Ns7MzYWFhJCUlMX78eCZMmMCNGzfy/f0cPHiQBg0a0K5dO06fP0+ljRuwu3Gdcj57kRV7W0jyT2IzYtn3aB/no85/Uo2yd/HkyRNGjRpFm0mTQCzWbTIZMisrDO3evTRbQAGfQsGS0FckOjqaM2fO6I2W7Oxsli1bRsmSJenXrx99+/b95OrMH8rhw4cZN24ciYmJuLq6smXLFl12hFoJygwwsnyrwJry97EY3N+r39ciQTU7Tp9V0aNHDxwcHLC1tWXatGksXryY0aNHf7AI2Y0bN/RpnGKxmJ49e+ZeKstM5PiqUeRoJfSc7w1S3Xk1Gg0lSpQgPj6e6tWrc//+fS5dusSSJUsICwtj+vTpukKI/4I4llYrEBCZzNjvvqOkgQIry0Ls2rXro/pITk5m58JRWMRcoFrTTjSa4IEglnL+/Hl27NiBn58fzs7ODBs2DGdn5w82EM6cOcPSpUv1+i+RJSPZdm8bwhu3hEQkIXBwIBJx/v0FBQXRuXNnfvrpJ0aPHp1v+49Co4bYIKJfJlK3wxBu3w78qKWDV49uMKBXV87dj0Mj6O7nq1ev8t3Sk+KJmQBP5AYMKVaE7DdLlQYYMLfuXHrW6glAhQoVOH78ODY2NgwcMpD41vEYFDFAJBLhUNyBWdVmcfnyZS5evMjFixeJjY2ladOmODk50bJlS2rXrv3W7+zcuXMMGTKEsWPHMnfuXKKioqhYsSJubm60adOGPXv24OXlhVqtZvDgwQwaNChXPFZGRgY//PADFy9eZM+ePdjb23/w/Xqe9px+x/qh1qoRi8R0LNeRnxx++uDj/8mjR49YunQpfn5+fPfdd3z//feY5+Tw2mcfIgMDLAcNzJWO/r9CWloaSUlJWFtbfzMZVgXoKDBYvjIRERE8fPgQU1NTHBwckMlkXLp0iX379nHo0CHs7Ozo168fffr0oXjx4ihjYkh0dwetFuuRozAs//FS8O9i69atzJgxA4VCwdZpvXA1Oo9Iq9alTA8+BDI5KpUKDw8P7novYF0rNXKxBqUG7sSL6H9MivvwupQtYsmYrVcpXqsFwcHB7Nu3793ZKe9BEAQ8PDxyve3VqVPnrQfxL7/8wosXL1iz5i9394kTJ+jTpw+FCxfm1atXVKtWjbS0NGbNmsXgwYO/itz34MGDOXr0KNHR0e/MAHoXWq2W7du3M3fuXHr37s3PP//8ziWalJQUfHx82LFjBzExMbi4uDBs2LB8AxfDw8Pp0KEDy5YtY926dew7uY8OezsgkogwMjKiR8UezG40+53HatLSSDlwAK1SyYMiReg7dizu7u707Nnzg67tg1ErYWdHhFcPycnOJsywFrXnXdJ/LAgCGRkZeRoe8fHxXLhwAVtbW5KTk7GwsMDW1vaDNlOf7ihfBDOqpC0RBjKUghiZWs7FYRcxkemyn7p164aLiwu9evXibORZpl2Yhkas86LIJXL2ddlHeYvy+jHHx8e/ZcA0a9YMJycnnJyc9AZMXFwcM4b3oE/pJKyLlmDxuTSeJWZx584djIyMEASBwMBAvLy88PHxoWzZsgwePJjKlSszfvx4HB0d2bB+PWY5cSCWgnXetaw0Gg2RkZGsv72eC9kX9EusYsQEDglEKv64yID79++zZMkSzp8/z6RJk5gwYUKuoqX/y8TExHD69GlEIhGCIODs7PzB5TIK+PcpMFi+IVQqFWfPnsXHx4ejR4/SqGZNVqSlY5CjCy4Um5pS4dRJpB8Zf/A+tFotPy9axBTlGswMdE8xQSpHaL2AA1HWzJs3j7Jly7Js6VIacA+C96CxLMfKuxZ0fe1BJSsRUpGWDCWMD6nHlj1/YGZm9lFjEASB7du3693parUaa2tr+vXrl6vd1q1bCQwMzBX8W716ddIl6Rj3M0ZsKcYm2YYzM89gIPs6dUmSk5OpUqUKxsbGREZGftAxt2/fZvz48UgkEjZt2vTB+hMPHjxgx44deHl5UaFCBYYNG0bfvn3f+QaoUCiwsLAgIyODqlWr0qtXL9Z5rMPthBuVS1TGobjDO71fglLJky5dUcfGotFoSFWrUa1dQ4s31Zy/JJqQIwiHxiDV6lJ8lVox40LqcT8mnfj4eF69eoVEIsnX8BgyZAi+vr7UrVv3o+I/yMkg8/QSjh3cwT5jW2LVxkSfjWa/11/p1HPmzEEulzN//nwuRV9ixuUZZKl1S5ZyiZwDXQ5Q1qLse0/xpwFz4cIFLl68SFxcHM2aNaNT8/qMULgjVmWh1gqoDCwZ86AhRUqU4ZdfcisTq9VqTp8+zbx58wgODqZOnTrMmD6N3pojSJ9f1sXy1OoLXdajVKmIiIggNDSUhw8fEhoaSmhoKOHh4djY2FCye0ky6mSgFesCp7VKLbUu1GL4sOG0atUqXw9eUFAQixcv5vr160yZMoWxY8d+9N/7t86hQ4dITEzU7xcuXPjLG+sFfDIFBss3ikKh4NIWN2w9PJC/ycxQGxpSdMUKbNq3y+foj0CjRlhsg0jQnUOjFVgbIGLDAwsWLFjA8OHD357cXkei2WiPRKszpHK0En55YMPW2wpGjx7NiBEjPip9+fHjx1y6dEl/nlWrVlGvXj3Wrl2r12fw9vbGz88Pb29vVCoV06ZNY8OGDdRYUwMs0b01qmCWwywGVRv01jnUajUBAQG8evWK0qVLU6dOnc+um9O/f3+KFCnCnj17CAwMpHTp0u9tm5SUxJw5czh69CjLli3DxcXlk7KmVCoVJ06cYMeOHVy4cIFu3boxbNgwmjdvnqu/okWLEhQUhK+vLxMnTmT48OH5ZnplhzwgytUVbaYuI0swklNyxQrM89HN0QpaotOjMTMww0r+bmM6Pj6eU6dO8fvvvxMQEIBDoUR2dJNj9iYNXC2Scbn6ckxL18LW1hYbG5sP0nlp2rQpy5Yto1mzZvm2fRcxMTE0a9YMMzMzbG1tiY6OJjg4GCMjI7y9vfH19WX//v2otCr6/d6P8NfhGBkb0a5sO352/PmjvkPx8fFcunSJ9Os76Wd8DdM3ei7pStgt7s+S7X+wb9++XNfy4sULXFxcUCqVuLu761Knj25mfqVQTN/Y5dlqEZ19jbkSnkTx4sX1WUu1atWiWrVqVKlSBVNTU7LV2Qw/OZyIlAgA5taZy4uLL9ixYwcJCQm4urri6upKRUsRHBmnqwhffyg3ZI4sXrKE4OBgpk+fzqhRo/6zGkT/BoIgcOfOHfbu3YuhoWGuv+MiRYrQrVu3/3B0BfydgiyhbxS5XE6r/v14sns3gkL3FqpVKmkzaCA1O3Rg0KBBtG3b9vMl1SVS4go3wyL2EgYSUGpEaGv0ol1JCYsWLWLhwoW0a9cOZ2dn2rRpo8vgMLLSiY69KUJoaChnzvJNtE+3xt3dnapVq+Ls7MzYsWNxcnLK96FesWJFSpYsSXZ2NhYWFvTr14+ffvqJmjVrsmLFClxdXTExMSE1NZXNmzezfPlyXr58SbVq1ZAVlqHS6lJQkcHNZzffabD4+/vz9OlTNBoNSUlJiMViateu/cm3zcfHh7t37xIUFERSUhInTpxgzJi306k1Gg0eHh7Mnz+ffv36ERoa+lnuc5lMRteuXenatSuvXr3C29ubSZMmkZGRwdChQ3F1daVMmTKUKVOG58+fc/36dbRaLePGjcu/cwtzlNnZ+oeCGBHSfApC5mhyGHZyGBGvI9AKWmbYz6BHuR4EBwdz4cIF/Pz8CA4OJiMjA7FYTPny5XVLLQP7YRoyVxfILQhI7drTqteIt+Kn8qNkyZLExMR81DH/PP706dO0aNGCtLQ0zM3N+emnn1ixYgXVq1fXFyCUiWUUuVCE0mVKM673OOws7T7a4C1SpIguqNihAuzqDCqdt8ZQJuGkfzDFihXjwPx+NBlSF6lNJY7lNGDE+KlMnDiR2bNnI5FIqF69OjQuhsZnMGh06cMCULp4EWrJS5Cens7du3e5fPkyKpUKc3NzvaCdhYUF5hbmVLStiKWxJbdDb2NhYcHo0aNJSUnhxo0b2NvbEzJSRFFjDWIEss8sYdclOZ0GzOfgwYPI5fI8rvDbJfv+fZK9vJEWssB67FiklpaEhYWxd+9e9u7di0qlYsCAAXTq1IlHjx7pj/uS1bIL+HwKPCxfmcTERFQqFba2th8URJl64gTxPy8GrRbbGdNRNm3K/v378fb25unTp/Tv359BgwbRsGHDT/IYBAQE4NSiBYNqyxnWuz0NBv2IrGhVQPfmERYWxunTpzl16hT+/v5Ur14dZ2dn+tQwosydZZgaShE1Gg3tluonm9TUVDw9PXFzc0Or1TJ27FhcXFzyT1f9B0FBQYwaNQpTU1MMyzXgobwqxkZGmIb5kRjiz7p16zhjfoZbcbd0YnlqaJLYhF9nvu1J8PLyypWBVKxYMbp0yT+z5F28ePGCunXr4ufnR4MGDfD29ubAgQMcOXIkV7ubN28yfvx4jIyM2LRp02cZSHkhCAJBQUHs2LEDHx8f6tSpQ1ES6OLshOvcTXTr2RupVIq3t/d7+0hNTaV///40SU2jT1oaCAJWw4dTZOqUPM99MPwgy28t18vVCxqBiAkRSEVSlEollSpVol27dvTt25eGDRvmNrDVOboK1DIjKNXoo40VgGnTplGkSBGmT5/+0cf+nXv37tG6dWs0Gg1arZYzZ85Qs2ZNLC0tSU1NRaPRULJkSYKDg/OVBfggrq6HiytIzcxm6iUpJdp8R1llGH3FfpjIRKgEMXcTxKhdjtO4ce6yCZmpycT8ZEc5CxEGBjIoVhdcj8I/gqhVKhWpqakftaWlJHO1fTjiN78KrQCC4/dInD+uTMe3RM7Tpzzr1VunDyORkGFqyjiVkhdxcfTr148BAwZgb2+vf34qFAq98fq/aqD9X6XAYPmKXLlyhfDwcEQiEWZmZnTv3v2zPCSPHz/G29tbPxH9mVVQoULeQXgAsbGxLFy4kJ07d1K/fn3Onj2br5s3JyeHq1evcurUKX29l27duuLs3I527dq9leEhCAJXrlzBzc0NPz8/evbsybhx42jYsOEHXV9SUhLr169nnYcXhQasQix78/BQK8ncP4OYiBC0Ei1uwW4EPgvkqsdVDJ4ZEBYW9pbxdvLkSWJiYvTCZ7Vr1/4o9di/X1P79u1xdHRk/vz5ACQmJNCvaUVOHvFBVqEFCamZzJ49Gz8/P1asWMHgwYM/e/npQ1EoFET9OpCSr86h1ghEp4t41XUvvQcMISAggPLly791TGRkJJ07d8bJyYl169YhEYlAq0WUR0zIs2fP8PX1ZfeD3eQ0ykEse1N0UyPQNqwtXdp1wcHB4V9/4K9bt45nz56xfv36z+7r+vXrdOzYkZycHIoVK8bDhw+pVasWhw4dIjg4GE9PT06ePPkFRv0XZ8+eZdy4cchkMrb3KUxj0V39Z4JIjGh+ci5DThAE+vbtSyFTI36d0QeRWKYrPfEBFcb/JD09nQsXLpCRkYGdnR3169fP/f10c4SEMNCqyFKDR3pLRi7b8z+7DBS3fTtJa9YieZOdqRKLSVq0kOY9euT50qjRaFCpVLp6W1/p77eAvCnQYflKZGZmEhYWhlqtRqVSkZKSwtOnT/M/MA8qVqzIggULCAsLw8vLi8TERBwcHGjSpAmbN28mISFBp3J2axvs6gKn55GS+JLZs2dTs2ZNYmNjKV269AcZK6ArlNeqVStWrFiBs7Mzs2bNonv3Hly5coVGjRpRuXJlJk6cyLFjx8jIyEAkEtGsWTP27NlDeHg4dnZ29O3blwYNGvDbb7+R+SZW4p/ExcUxffp07OzsiI2Nxc3rEMZ/m/gkImjdYwCGhoYYSY2Y0mAK3n28KaMoQ0pKCsHBwW/16eTkRKlSpZBIJISGhlK//tt1eD4Ed3d3Xr9+zezZf2XZFL65jGN9RIgODiN1eXUa1amGmZkZoaGhDBky5Ks+7OSaDOxS/TGWgrmhiIrWUk6s1qWYDx48mJcvX+Zqf/36dRwcHBgzZgybNm1CKpUikkjeMlY0Gg3+/v6MHDmSYsWKUaVKFWbOnEnS1SQM3vwzkhjRtVJX1q5YS6tWrb7K22nJkiWJjo7+In01adKE/fv3I5PJiImJYfr06VSvXp2QkBB+++03RowY8UXO83dat26NtbU1U6ZM4VhgNEpBZ3hotCCyLPuW12nx4sXExMSwyX0boqpdoHL7jzJWAPz8/IiPjycjI4N79+7x+PHj3A1cfKFGTyjtAF02EpBsRr169bh9+7+R+/8UBEHA39+f4cOHM2z2bNR/08gxkMtp0blznsZKTEwMu3btwsvLC19fX1Qq1dcYdgH5UOBh+UpkZmbi4+Ojz4ZRKpUcPHgQQ0NDHB0dcXR0pFGjRm9JnWvS0si6dQuJlTXG9erme54/M428vLw4fvw4P3evwLhyUUgFJSqkHI/QcsyoF2PGjKFTp076ZY2PQavVUrJkSS5evKhPsdVqtdy9e1e/fBQQEKAXtnJ2dqZOnTqIxWK0Wi2nTp3Czc2NJ8FX6NmjBwPGTKVatWpERkaycuVKvULrtGnTKFWqFK/SFDRfeZ5slQYRIrTKLKo/24+nh3suIbiTJ08yZMgQhg4dyqpVq9479sqVK7Nz5848i+u9i4iICBwcHLhy5QqVK1fW/TAzCdZUAY2uflO2RkSy/QxKdJnzUX1/MTISYG01/XiQGSN0XMUf0eb06dMHIyMjmjVrxrBhw8jMzGTq1Kl4b9tA29JqMDSDKp31Swt/Lu39P/bOOyyKs+vD9+wuy9KVooCI2BFBERsWsPcejS32kldNNGqMJSZqYo8tljfG3o01alRijd0gKjbsXelN6rJ9vj9W15cACogtH/d1zQXszjxl2Nk5c55zfmfTpk2EhoZiMBiwsrIiMDCQbt260bRpU4oXL06iKpHTEacpYl6EgBIB79RACw4OZsSIEYSEhBRYm7t27aJPnz4olUqG9O5CmaIC/912hJsPIl5b0Tk/7Nu3j4kTJ3L40CH2jqxBl/I67serkHVbS5UGLwM+d+/ezfDhwwkJCcHlFeJwr+L27dscP3480//I29v7tbEaW7ZsYcSIEYwcOZJx48YVqGhgQfL06VPWr1/P2rVrMTMzo3///vTq1QvZjh0krF6DqNdjUbkyLtOmYp6DJ9pgMLBu3TqTkSKVSqlevTq+vr7vciqFZEOhwfIOOXnyJPfu3UMQBKytrQkICCAkJIQzZ85w5swZLl0HNs10AAAgAElEQVS6RKVKlahXrx7169enTqVKKIcMxZCRAQYDRbt1o/j4cbnuLy0tjaRfWuCmDDO9ppPbIhn/mJYtW1K/fn3TskZeCA4OZsCAASaxt5z6PnHiBAcPHuTQoUMkJibSrFkzkwHjfOEnxNAN6PR6ttwQ+eaUnLS0dIYNG8aYMWOyVG9t23soFzQu1PGvTdjmmbSp58tvv/3G9OnTGTBgABKJBFEU8fLyIj4+npiYmByzcBYtWsSZM2fYunVrrues0+kICAigZ8+eDB8+3PS6qExEP7ssMsG41CSaWSK0ngPVeuW67QJn32gygldjJjdHZu8Og4+BuTVLRnagvc11zCzt6L8thsNXoxj82ScsrnQBM4MKEHhWxJuvzhXnyJGjREdHY2Zmho+PD127dqVLly7ZLim9TyIiIqhZsyaRkZEF2u66devYPGMoOzvLEJEglZlh+eUpKOZZoP2A0Rvg5+fHjz/+SN26dWnWrJkpSPZFXFRYWBiNGjUiKCgoxyXVf1ZJfsG9e/fYtm0b27ZtIzY2lrFjx5o8qjKZjCZNmuRKsPLp06f07dsXrVbLhg0b3k99IHUqxN2BoqXAyviwolKp2L17N2vWrOH8+fN07dqV/v37Z4pL0UZGcr9NW2MciyCAlRVx06byKDaWR48emcplPH78mKdPn7JgwYJMRpmPj8+blRgppEAoNFjeIaIoEhcXh1arxdnZOctTikql4uLFi5w+fZozZ87gfukSgy2tkL/4ApJKqXDxAtK8uNqPz0JzbA5yQYcBCZJSdViS3poNGzZw5syZfMXQjBs3DplMxvTp03N9zKNHjzh06BCHDh0i5soRDnUDC5nxo5euhekRdTj9QMmdO3cYMGAAn3/+OR6xR+DkHFLUeob8aeD3C5H07duX0qVLM378eC5fvszQoUMRBIGlS5dStWpVtm/fTp8+fTh8+DD169fPdizP7t3jQPMWVCtWDNumTXGZPOmV8RoA06dP59ixYxw6dMhkCCUlJVG/fn36uD5gdD0rZGZyKOIOg46C/P2t96empNDGrwSH9u5AUa4BmCkg9haGZQ2Q6FUYREjTSbjV6nciDy2muf4ols+nn6EVafC7HVXqtWDw4MGZvvQ/RPR6PRYWFqSnp+dNhyUXJPxYFgeDUZNDBAS3WjDocIH28YKdO3fy008/ERwcTFJSEk2bNuX+s/t0XdAVC0sL9n+3nynDp9CrV/aGcOz8+SSsXoMgl+MyYzqJFSuyfft2tm7dSkREBJ07d6Zbt27Uq1cPrVZLcHAwKSkpeHp65qmCssFgYP78+cyePZv58+e/0/gs4u/CqmZg0CEa9Nz2m8KivVfYunUrfn5+9O7dG39/f5KSkoiKisq0Ody9R5eoKF5clemiyKKiRTCUK2fKqnuxubu7c+HCBe7du4fBYEAikdChQ4d81/YqpOAoNFg+YBLWrSN27jx47prUiSLNExOoExBAQEAAgYGBVK1a9ZVGx/VrVwj9sSGdvC15lGaOec8N1GnWgbNnz+ar1LsoilSsWJHNmzfneSnpBboHp2FTZ2R6Y7q2aGaF0OM3KNOAW7dusWzZMm4dXseuTiIK6XN9GJkFRabGYmZVhKtXr5rUJw0GA6tWrWLixIn06tWLSZMmUb58eVo3qMW69RvAMqsuyMOu3VBevYoEEBQKHIYMwWlI1pTkF1y6dIkWLVpw8eJFU4bImTNnaNGiBdbW1gQHB+NhpQZVMrj4guzdCNflxP79+5k7dy7Hjh17+eKVrbB/tLH8AiDKrREGHoK4W4h7hiM8r4YtSuUIY+4YSzR8JJQsWdJo4L9CBydfLPSFZw9f/i1I4LPtxiDXAsZgMODt7c3ChQtp1qwZT2Kf0Or3VgjmAgICMlHGXz3/oqgi6/8lPfgcT4cONVVJ1gCdnyXStFMnunXrRmBgYIEv4Vy5coWePXvi7e3N0qVL81xMMyc0eg2xyliKWRZDLs18Hek390S4E4TkeYmJu4kirYKKIZPJiI+PJyUlhWLFiuHs7IyLi4tpc3Z2ppRUiseS/yJojEulgoUF5Y4cRpaDESKKIg8ePCAtLQ13d/c8ZzgW8nYo1GH5gCnSuTNJW7ehjY4GvR7X0aM436QJp06d4uTJk6xatYqnT5/i7+9PYGAgAQEB1KpVyxTsKIoiw74cwaddfiS1UTUGdeyA/vhXTJ06NV/GCsCNGzdQqVT5DloFkLnX4mGaDCepiJWVFUIRd3A3pm56enqyYMEC1H97ITk0AZ4L2kkFCe725hTzrJpJKlsikTB48GA6duzIuHHj8PHxZmsvZ+pZnUKcVwHB/wto9kOm/jUPHpiizUWVCvX16zmOVaVS0atXL+bPn0/JkiURRZHp06czZcoU6tevz8GDB99KXMObcPToUZo0aZL5RZcqIBrjpwyiiCBIjN4gx4oIlzagunMcuZkMSZPJH5WxAi+1WArcYGk6BXF735fFwkUDXP7trRgsEomEiRMnMm3aNJo1a0akPhJra2uU+ufKumYKbibcpG6JzLEmKpWK03t2U0yl4oXfVSaXc/XUKSzzeY3nhqpVq3LhwgUmTJhA1apVWbt2bdbPXB55kPyAfn/2Q6VXYS41Z271uZw/eJ49e/Zw6dIl1jZX0rbCSy+as5M9S5YsMRkmjo6OrxRjTC5Viri58xBkMpwnT87RWAHjslpusi0LebcUelg+cESNBtWdu8iKFsGsRIks7yckJHD69GmTEXPjxg2qVatGYGAgarWao0ePcPH7Wkhu/IEyI4OzCbY0+eUxQj5UVsGYpRAbG8uiRYvyPafffvuN0cOHMm9wY3r26AGebbIuocTdgeUNQKtELwpIbZ2x+f4R02f9xIgRI3Js+8q+5ZQPHovl8+UmZBbwnxPgVNG0T/iIEaSdOImoVqOXyXCbNpUiHTtm296YMWN4/Pgx27ZtIzU1lY4dO3Lq1CnGjh3LtGnTPsjlkqpVq/Lrr79mXXO//Sf6Iz8SHHoVSZv51PnkuVdJFPErV5ygI8dxLu317gf8hnz66ad06dIlSzmHAuFnH8RnTxAEUOlAU/1zbDtlH9D9puh0Ojw9PVm9ejXl/MrRZkcbdIIxFddcas6uDrsoaVMyi+5OAx8ffkh8hlSjAZkMeYkSlNm3F+FNRSVzycGDBxkwYAA9evRg+vTp+TLgdTodPXb14Fb6LRBANIik304nemE0lSpVolmzZgxpV5PSJ4aDIAWDDjr8F3w6v4UZFfLBIhbyryI5JVlc/MdisdePvUS5tVysU8pCVE60E8XJtqI42VZUTbIXxSfn8t2+n5+f+Ndff+X7+Pv374uOjo6ijY2NGBER8eqdH50VD/azF4PHVhFj7l4SJRKJeOnSpVcfc+eQaJjuapqvYbqrKD4JybSLPiNDjJ49W7zc6RNxWIUKok6ny7ap3Ud2i+513cX7EffF0NBQsVixYqJCoRD/+OOPvEz5nRITEyPa2dmJWq02x30qVKggBgYGmv7WaDSiTCbL8Tx86IwcOVKcO3fu22k8OkxUTisl6ifZisf724ruLo7izZs3305foiiuXLlSbN68uXjmzBnRrZGbWHt1bbHigori2r/XinFxceLPP/8sVqlSRfTw8BCnTJkiPnz4UBRFUVQ/fChGz5otxi5eLOqSkt7a+HIiLi5O7NSpk1ilShXx2rVropgWJ4q3D4pi3J1s94+NjRV//fVXsX379qKbm5sokUjEsj+UFb3Xepu2ttvaigaDIfOBz56IYtguUYy58Q5mVciHRqGH5V+EKIp8feJrzkScQaVWYaY142jDGVhv64P0uYx3ulbAatAfUDowz+0/fvyY6tWrEx0dna9gXa1WS/369XFxccHa2pqNGze+9hhXV1c6depEmTJlmDFjBocPH351wUCNEpbWRUyLJiNDhcrSFftxV0CaNSBTFEVq1arF999/T/v27TO9d/juYUYdH4XCXIFoELk39R7WKmuOHz9O+fLl8zz3d8XWrVvZtGkTf/zxR477zJo1i0mTJhETE0PRokUJDw+nVq1aBZ5p866YP3++KbPjbRAZGUnVKj5s37GTjh07YmZmxv79+7NUFH9j9Fo0ydGU8amFRqtn7dq1uLu7U7duXRwcHHj27Bnt2rWjf//+NGzYMF+1qN4moiiyZs0aVswcy/HPJMjN5Qh6HfrW8zgc68CuXbs4e/Ys9+/fJyMjA4VCQenSpfH396dDhw4YyhqYcXkGIiICAtPqT6OFRwHWTSvko6cwhuVfRIwyhhPhJ9DoNSAFQS5wUpJOOxcfxJjrpKWncytOR+y1RNqUznv7u3fvpl27dvlW5/3uu+9wcnLi0qVL7Ny5M1fHaDQaBEFg/fr1uLq6kpaW9uoD5Jbwn5MIN3YT/egxTUb8l0vD0rOt3yMIAl9//TXz5s3LYrBMODIBwVJALaoRRZGy/cpybMQx7Ozscj3f98GRI0deG0vQvXt3pkyZwoYNGxgxYgRRUVG4urq+oxEWPG5ubvz9999vrX1XV1csLK0oUaIEo0aNYufOnbRp04ZNmzbR/DWFIXNNzA1Y1xYzTRrnemjodrAIp06dYu3ataSmpmIwGAgODsbb2zvLoUqlMbtOIpHg6emJXP5+gr4FQWDAgAF8Kj2C7P5+hOdV5uM3D6Htzxm4urri6+vL0KFD6dSpU7ZaMhWcKxAWH4a3ozeVHSu/6ykU8oHzYZnohbwRMomM/3WY6bQ6zMwsoH8QQpdVHLXtRttdMj7r04/9+/fnuf3du3fTqVOnfI3t0KFDbN68mc6dO1OyZMlcZxhpNBri4uJITk6mRIkSrzdYABS24NeHMp98T4u2Hfnuu+9y3LVLly48evQok4rnnj17yHiecQHGL+La/rU/eGMFcgi4/QceHh64uLiwaNEiRFEkMjIy30JkHwJvWgAxN9SpU4fg4GC+++477O3t6dixI7169WLLli0F08GeLxCVCQg6NcUtRUZWiiUyMpKjR4/i4OBA//79+fXXX7Mcplar2blzJxcuXOD8+fPs2rXLJE75vrCwtob/Ce2yd3BEq9Xy5MkT/vjjD4YNG5bj562yY2W6eXYrNFYKyZZCg+VfhKOFI/0r98dcao5CokAboeXkypOIEhlUbEXjYXNJVWqo07wOA4cMZMeOHbluOz4+ntDQUJo1a5bnccXExNCvXz/Wr1/P6tWrGTlyZK6P1Wg03Lp1i969e2NjY5OjnH9OzJgxgx07dhAaGprt+zKZjK+++op58+YBEBsby+DBg0nak4RBbUCOHEszS76s9mWe+n0fPHz4EKVSaazo+xq6d+9OYmIiISEh/woPy9s2WPz9/fn777+RSqVs2rSJvXv38tNPPzFmzBgWL178xu1rU2JN93iZBGp7lyEjIwMvLy/c3d1p27YtmzdvJioqynSM+Dz4NiMjA4PBgF6vR6lUkpiY+MbjuXXrFtu2bWPv3r0kJyfn+rikpCT6rLiGUm+GaG4DMgvM2i/4IIPTC/n4KDRY/mUM9xvOno572Nx2M0c/P8qBoAOMHDkSg8GAmaUZPrN8eNr8Ka7TXfn616/ZsGFDrtrdu3cvzZo1w8LCIk/jMRgM9OnTh4EDB2JjY8OTJ0/omENGzj/R6/VoNBru3LlDnz59sLKyyp2H5X+wt7dnxowZDBs2zFT48J8MGtCPKs/+JOPXZuwZE0BqSjLKq0p+qvwTC5osYG+nvR/FE98L78o/bw4GgwHd88JvL2jfvj3m5uYsX778o/ewuLi4EBMTk2WOBYm/vz/BwcEAlChRglWrVjFp0iT27t3L4sWLmTRpEvkNB9y8eTMjt90nQycgSuUgs8DGtT3dQkO52a8/3q4lSE9Pp3fv3nz77bcsW7aMnj174ubmxsiRIzN5VAwGwxvXcIqMjOTs2bMmAba9e/fmam4REREEBgbiWKEmVt/eReixFb48D5Vzd70XUsjrKIxh+RdSwvpl+vNff/1F27ZtGTRoEIGjA9EW0SKIAlpRi2NfRyZMmEBGRgaff/75K9vctWsXXbt2zfUYToaf5FLMJe6dvkd6ejqTJ0+mf//+DB8+PNcxMGlpachkMmxtbSlfvjzW1tZ5NlgA+vXrx8qVK1m1ahWDBw/O8r5tyHy+ri1BHh1CTzcRbVt7Oi0O/ehu4kePHs3iAXv06BF//fUXer0ed3d3mjVrhkQioVatWmi1Wnbs2EHHjh3zXFfpQ8LMzAwnJyeio6MzafQUJH5+fty+fZv09HSsrKxo06YNn376KVOmTOHUqVO0bt2a2NhY/vvf/+ZapE0URQYOHMjatWsZPnw4FgM7Q/Q1lIkWRE9cjJfMDH1wMP2kUkb/+CMREREkJiaSnp5OixYt+PHHHylbtiznzp3j2rVrCIJArVq1sLGxydSPVm9gyV/3OP8okYDyjvwnsCwSyUuj1mAw8OTJE65fv05YWBhJSUm4u7ub5qFSqVCr1a80hG7dukXLli0ZMmQI48aNMxrNHh/vZ6qQD5NCg+VfTpEiRTh48CAdO3Zk7W9r0VV4+RSqNWg58tcRWjZviVKpzHGpJi0tjePHj7Nu3bpc9bnzzk5mhcxCpVdhsDQwZPYQYmNj2b9/f570W1JSUgBMdU6sra3zvCQERlGuX375hebNm9OpU6dMBRMBuHMQuWB8SrWSCwxp5IHkIzNWDAYDR48eZdasWVlee/EEHhERwd27d6lYsSJSqZS2bdty5coVQkND6dKly/saeoHwYlnobRks5ubm+Pj4cOHCBRo0aADAzJkzqVevHlu3buXYsWN0eq4su3Hjxtd6ORITE6lXrx73799n586dptiwZPuqXB47DieVCgGQAsX1ekqUcGX37t3Mnj2bokWLZqoc7e/vT82aNREEIdvMoen7b7Ll/BNUWgOhjxO5cfsuZZS3CAsL4/r161y/fh07Ozu8vb2pXLkyXl5eGAwGRFFEEAQsLCxeqa3y999/06lTJ2bNmkW/fv3yfG4LKSS3FBos/w+wsrJi7969fDLwExJLJyKVSTHo9Ig3dIz7fRxbt26lV69epKenM3HixCzHHzhwAH9//1zLU2+9vRXVc9l9iVzC4djDxB6IpWfPnrmXuE64jzp4PTWdDdgXL26aR348LAC+vr706NGD8ePHs3LlStProijy96MM/BQiCpmAKDVHUuIVadMfKGFhYdjZ2WUqYqfT6TItg+n1+kzBxG3btiUsLIzbt29/1DEs8O7iWIKDg00Gi1wuZ8uWLfj7+1O/fn2CgoLo1asXrVu3Zvfu3dja2pqO1Rv0LLq0iGNPjmGvt2fnkJ1Ym1lz+/Zt1Go18+bNY//+/Vy4cIHPfavRTyZDqtNhAJ5JpShsbPDw8GDcuHFUr16db775JtO19E+vTkpKCmFhYVy7do1t94uiklgBoNKJHLwWRQvhAbVq1WLAgAF4eXlluS7v3bvH1atXsbCwoH79+jnGoOzbt4/+/fuzfv16WrVqVRCn+f8lWq2W8PBwVCrV+x7Ke0WhUODm5pZjXbBCg6WAefFU8qGhUCjYs3YPvYb2pKJrKPUt02laRMfeal60adOG0aNHs3HjRpRKZRYF1127duUpO8jFyoXbibcxYEAiSEjTprHTcSc1a9QkSZVEEUXWFONMPD0P69tTUqPhUG9L1kc+BYweloSEhHzNH+DHH3+kUqVK/P3339SpUwedTkejRo24duEma9qb097PBalHPWg1O999vC9exK8kpKnZFPwEgyjibZHE3bt3KVu2LBKJBJlMRunSL/PZmzdvTv/+/VGr1cTFxb3H0b857ypT6J9ZQWXLlmXx4sV0796dixcvsmXLFoYPH07Dhg05sGszxVKvg6Uja9LusvnmZlR6Ffe19yn9ZWkC4gJo2rQpGo2GNm3aMGrUKBo3boyVlRUJa9fy7Lct4GDPhfggvnWJhcNT8Gj0LR06dGDRokVMnjwZrVbL7du3uXbtWqYtLi4OLy8vfHx8cC3ZnIca0ItgLpPQuUktZnQamMMsjZQrV45y5cq9cp/Vq1czceJE9u3bR+3atd/4/P5/Jjw8HJvnRumHeP94F4iiSEJCAuHh4Zm+p/6XQuG4AkKtVvPnn38SGxuLra0trVu3zvSE9aFguLkPzW99UUieLw1JzbnV7g8GfvE1Go2G1NRUWrZsyYIFxsh+jUaDs7MzYWFhuX4Kj1XG0nVHVxIMCdia25KuTkcv6JEJMrztvBntPpr09HTTlpKSQkxMDFFRUcTFxTHE/gwBDs9M7T3TyCg6I4EVK1Zw7ty5TB6SPCGKnPn1K1Iu7iCg+0iqDP4v0TFxiKJI9+7dWbNmTf7a/QBo27YtPXr1ZclDe+JT1egNBnTKZGbWt8DPpxIZGRmUKVMmix5N06ZNOXbsGN2+6sY347+himMVpJKCLZT3LpgzZw4xMTHMnTv3rfXx+PFjateuTVRUVJabyuDBg8nIyDAFsc/7YSz9VCuwt7ZAIggMcivNOVJM+wsqgR6JPWjTpg0+Pj4536SOzUB9bC7mEj0GqYIn9gEseejBkiVLKFu2LA8ePMDd3R0fH59MW5kyZUxel+QMLaO3XuZKeBK1Szsw59MqWMrz/6wqPq+ntXr1ag4cOJDvumSFvOTmzZt4enr+vzVWXiCKIrdu3aJSpUrZvl/oYSkgzp07R3y8sRR9SkoKf/3112uzYVJUWkIeJOJkY07Vkq/xOhQQkoxEzM3loDUaLFq9nhIONpw6dYply5bx/fffs2PHDtLS0lj+03eEHd5K/SplMhsr6jTY2gsenYaipaDnNnAwFgpLT0/n8Y3HKDYrsEm3Qdlaid7VGEOhE3VcfHKRpgOaIooiOp0OjUaDRqNBoVBgY2ODra0t3QL16OxB9vzaVeoEipL/GBYTF9dRN3E7gpuS9L+mMbG6nD+0zTh06BALFy7Mf7vvGa1Wy6lTpxgxdRGpN++gNYiAgJVtUUpUrUGlisVyPDYgMIB7Xve44nmF/xz+D5XsK7GqxSpkko/rq8HNzS2Tls7bwN3dHYlEwuPHj/Hw8Mj03sKFC6lZsybr1q2jX79+jGnuju6QBInOWLywTtwj/rYtgsRcgpnEjHrl6jGhyYTXd3rnEOYS4/Uj0auQPz2JKJaiWrVq1KhRgwsXLrw2c8/OwoxV/Wrma87/RK/XM2LECM6ePcuZM2c+usD0D5ncGiuPE9JZceoBuy9Fkq7WYWUuo2M1VwYHlKGUg9VbHuXb5XXn4OP6VvqASUlJyRQvcOfOHXx8fChbtixly5alXLlypt9LlSrFsww9rRedIkOjQ2+AAfU8+KalJ2maNG4/u00J6xI4WzkX/EDLt0A4PAmDToNaq+epzoZPazVh8IivGDRqFO3bt2fIkCFEn/kNzYKdeApSdjQEnoZAyedS5MdnID4+g2DQYoi/x4NZAbTda0tkZCRKpRK5XI5abVSIdS7iTNF2RZGYSxD0AqWEUoyYPgJXV1dcXFxwdXWlePHimTOHUiJhZRM0KfGoNWomBNuynjeLYQHQhG5GrjXeQKzkAj19rfhy+iEmTZr0QXrDcsv58+cpU6YM5dyKodJcx6RWIAgUt3118KeztzNW8VZIzCVk6DK4lXiLc1HnqFfi48rwKFmy5FtfEhIEwRTH8k+DxdLSkq1bt9KoUSP8/f3xlCmQyeSgM8YM9UpJI7nuV5yND8HT3pPxtcbnrlO36oixNxD0apDKca3emnmfzuP69es0btw4U5D120alUvHZZ5+RlJTEiRMnPupr5mPl2O1Yhm0MRas3oDMYF0fS1Dq2hDxl58UIfunlR6NXPKB87BTqsBQQnp6eppuuTCajTp06bNiwgV69elGsWDEuXbrE7NmzTWvUtbuPIC5ZSZpaT4ZWz9Lj99h1fA8tdrTgi6Nf0HZXWw4+Ovj6jkXRGPPx+Czoc6FDYVMchp5F2+Bbxv2lRxpeh9+citNg/Qa+8arMoUOH2LVrFxt6u6OQGrCUaJGj5frCT/Hx8cHe3p796xYi6DUASARwlGXg7e3NqFGj2LJlC0ePHsXKyoqIiAj88CNQFohfMT96efdi99DdDBkyhPbt21OzZk1KlCiRNc3Z1hVGXGGVXX86BHuy/XwUer0+X2nNer2eoKAgPvnkE9YFnUNjMFrwelHg/INnWFtbM3r06Dy1+aFx5MgRmjZtyvG929Cc34FMAjKJwPAm5ank8uqbikDWJxqRj2yVWJtBtXsL2RdwHVa3gtSYt9bVCwG57PD29mb69Ol069aNxFKtuPtMJE0jotKJRFYexui6Y9nRfgfT6k/DWm6dbRuiKHLnzh3Onj3LkydPoPk00ko1JSpdgPItoJ3RE1i5cmUCAgJYvnz5W5vr/5KUlESLFi0wMzMjKCio0Fh5DzxOSGfYxlAytHqTsfICnUEkQ6tn2MZQHie8gRf6OR4eHqYVA4Djx4/Ttm3bN273TSn0sOQCg8HA48eP0Wq1uLu7Z5uyWK5cOeRyOeHh4Tg6OlLGxQXt/ft4N2yI7B8po2q1mrn7LrHmQgK65587gyjyw59T0HlqEZ5rJIz/82tSQkegtipBtGsLPL0qU6ZMGdzd3bG2tjYaK9v7wt0jIAhQvDL025+10F9aLDw6BXYljV4SW1fMG36NtfA7GVeuI9VqkQGfy+U0GTGCQYMGcWGQBUVdXsYypKUrKVPGl08//RQPTynincUIugwws6BIzc/YMXOead/bt2/j4OBAWloaIedC2L5te54E50RR5LvgH9hX9CBib5GidkX55ZdfqF27dq4NlocPH7JmzRrWrFlDiRIlGDhwIN06LeHG7EAqWyURIxal584HDBw67JUpmx80WhVcXEvJ+xuJc27I999/z7FjxyhXzlic8X+1NnLCEGdA8lSCpIwEvU5PBacK1Hb5yAIoj03HMvwkVgoR8ek5hN8HQd+9b6WrOnXqMGbMmBzfHzx4MDt37sTFvSzWlgoqOs175yUAACAASURBVEjoO2QUazbdo0TCGaRSCRNbV8pxCfj8+fOEhYWh0+m4desWgYGBJHqO5IvFdzk/J3Ox0IkTJ9K2bVuGDh36xmJxryIiIoKWLVvSpEkT5s+f/8EVXfz/wopTD9Dqsxe/fIFWb2DlqYdM7Zi15tS/gUKD5TWIosjhw4eJiIgAjKmMXbp0yfYLwt3dHXd3d9QPH3K/aTPQ6xF1OtwWL8Y6oL5pP3Nzc75sXZ1DD04Tn6ZGrxcZ06ISj4Q2/HH/D9MTrrW5gU9LRKPURrMrJIT245UIgoDBYEAikVCthDkne5th+dw+0YRfImT9NLQeDbG3t0cqlWKji8f9zz4Ioh5EA9QfxWW75qxbt470p0/RKCyweP4FZBBFKpUti9zJiRmhYaxrkYFeFFDIzag9eD57DFqjwVO8MtyuDreDwNkHagzIdB4uXrxI9erVWbRoEYMHD86zOm5IdAiHHx/GIBhAAPs29kybPY2tK7a+MoZFrVaze/duVq5cyeXLl/nss88ICgrCx8cHgOTkZBquiOfAgQO0aNECK6vi/PHHH0ydOjXHNLoPFlGEDR0RI0PpU0pFhm4rnXbtoHweAyCjIqOoEVmDixcuEhcXx5ygOZhJPrJzEXUVQWdMBxVEPTFhJ2lcuXKmZcf//d3FxQUXF5c8fy4BqlevTlhYGCqVKtvvgDlz5nD48GHMzc1ZtOQX+vbty8ZeXzEz+i+inyQB0GP53yxv54w2PYn4+HgSEhJMP8uUKWMyoF8YLQBOTk5Z+qpWrRp+fn6sXr2aYcOG5XkuueHmzZu0atWKYcOG8c033/y/Dwp9n+y+FJnFs/JPdAaRXZciCg2W/6+kp6cTHh5uEt9Sq9VMnTqVlJQUpFIpMpksy886Z87gmpxsWm+7OWoke1u3RqfTodVqTVt5nQFH0QpBk8aR/yaRrkhHqGf8QpBJDXydaPyCszSDzp4SeokiEokEhUKBVCpFIhGeGzfGYzQaDcuWL+PQg19p27Ytvr6+1E0LoqQ62eT4Vx2eRrXp41AoFJR1dKSvKCKTSo1PTVV8WDF5Mg4ODtja2rJ/62rWzPkW72IGfpSMfp49IkK3TVCxpXHLhgsXLlC5cmUWLVpEWFhYns95iiYl01KFaBDp3as9Dn/0IbhjMmzoDJ+uMRY5xKhBsmrVKjZu3Iivry8DBw6kY8eOWW4o27Zto3HjxnzzzTdYWVmxdOlSli5dys8//8w333yT53G+cg4pKRw9epS0tDTKly9P7dq1C/bLPj0eIi4i6DVIJQKWCjnlDfeAvNV6ioqKolbNWuybtA9PT09CL4bSunXrghvnO+C6WI5SmuNYywVEmQV2Ndqypc9XREZGEhUVRWRkJHfv3uXEiROm16KiorC0tMxiyGRn2FhaWpr6srS0pHvdUjwO+pmKzQfBxdUQshyDhT2DgwysPXiJmTNn4u/vT4cOHZDL5Xz70xIQPE1tpKenMXjMJIpLUnF0dMTBwQEHBwdKliyJQqEwyeBLJBJsbW25f/9+tgYLGCugd+3alUGDBhV4leazZ8/yySef8NNPP9GnT58CbbuQvJOuzl3piXRNwZSoaNSokSnTLC0tDU9Pz9cc8fYpNFheg0yWuQKyVCrFzc0NnU6HTqdDr9dn+qnT6TBotJkiAwS9AalUikKhQCaTYWZmZtr++bdKoiJGiMEv8TKB6X+a2jBYOPDnn9uQSCTo9Xr0ej0GvZ5nDxZjnnoVUQSlrRsth31FE72IRmOMMUFtgaiWAEZXoiCTs3HjRpKTk4mPj6fbvHl87utLGnDy7l3iW7cmMTGRlJQU7OzssLKyYn6DZ0j1EnhesuT+ui8IqzGbgIAA7O3ts5yzixcvUqFSBQJ6BRBnFoer6Jqnm3UdlzrYyG1Qa9WIBhF1tJrpZZIQ7iQjlwKPTqLZO4b1ybVYuXIl4eHh9O/fn3PnzlGmTJls27yfdJ9lV5ZRqkopIjdGUqpUKdq3b4+Xlxd16tShR48eBaqSGhQUZFLqvXHjBkWKFCnYC97cGoSXrnmJVAbWxfPcTGRkJG3btqVVq1bExMQQEhLyURksoaGh+H++hMX9/PhPA3eEEn4oAr7GR2pm8qxlhyiKJCYmZjJqoqKiuHfvHqdOncpk2CgUCpMBM9I7icW1I+HST2jD5iMBpAY1kvQ4ZnuLPMwIYMWKFfzwww+mmKsyDhaEplugee7Nt7K24WTQDhytsy5FpqSkmD47jo6O1K5dm+DgYIoVyz6Qsnbt2lSsWJGNGzcyYMCAbPfJievx1wlPC8evmB9Olk7G2J9NXSD2BkmKkgz6bwRr126gZcvsH0wKebdYmctIy4XRYvUGKev/y7Fjx0yq4MePH3+rkgG5pdBgeQ0KhYKaNWty/vx5BEGgePHitG7d+pXruBlh13ncpw+CRIKo01H+xx+Y3K5d3jrWqmBLD3hwDCydsPxsGy1dq2XdT2wPERdBr6WYW00+k8rIyMhg06ZNGAwGwqwCKK8MxUpQoVFnoGo+g88CPzMdHh4ejq2XF5P+Icuv1+t59uwZ8fHxpC16GdOgN8DtJzF8OvtTtFotMpmMokWLUrJkSby8vIyplpcuENsyFms3az4//DmNSzZmZsDMXBst1nJrdrbfyezdszl78iy31txCNt0Ck5inXsP1v7ayPzqO77//nhYtWryyPtG9Z/fovq87Kj8Vt3S3kHaUMrv9bARBoHz58gwbNoxRo0axffv2XI0vN6Smppp+1+l0mQLYCgQzCwyfrCRj02dYmEmQVGoPXnkvMveiUnO7du2YNWsW58+fL9hxvkXu3r1LQEAA3t7eDP71LOQhtkIQBJNn43WGzbNnz4wGTGQ4Tc72QIII6NHr9IBojDwHilhIGf55Pzx9a1O+fHlOnz5Nj0870SpjD+NKBLE5oRwLtBLq1JZzKiqDjuU6ZrkmbG1t6d69eyYBytjY2BwNFoDZw7tQ7MTXiDO+Q/DrCy1mGGPaXsG66+tYcmkJUkGKIAisabIGj/3jkEdfR4Ieq9SHnJ4QgH2hsfLB0LGaK1tCnr5yWUgmEehUrUSO73/sFBosuaBq1apUqFABrVaLjY3Na2+8Ft6VKRu0n4xr1zAvXRrz1yhGZouZAnrvAoMeXiXkJQjgVgMwPjHdSLyBt4Nx/VKj0YDciiOeM2lf15NZC5aRtPM6CwNfHt6yZUuWL1+epY6QVCrF0dERR0dHxqX5U8n5CnKpBKncitYLDqFZV5rExETOnDnDyZMnuXTpEqdOnWLr1q1Y+FogFBVQGVRggP139/NkyxNqV6xNjRo1qFChAo6OjtmfR4MBLq7BLjKUgZbl+PNsMpoMDYuPPGKwL1iZQZpGpGj9gez6bEGuTuXBRwdR69UIUgFBKmBe2Zw69eqY3p8wYQKVK3txfvsCanqXh9KBpuWm/FK8eHGio6MBo5euZMmSb9Reduy9a6DzbCVqZRrI8xd0+aJSc/ny5enfvz+PHz8uMLVmpVLJ48ePMTc3x8PDo0CDNZ8+fYq/vz+2trYcO3bsrQWCCoKAvb099vb2eHt5wTkZPM+QEyRSY4C8QYdGDxKnsnTq3tdkLCQkJLChqwM1uIJFHAySXkFpb8XaeFuuPjtLsjqZft79cuwXQDQYKH7jJtXi41FeuIBljRqZdzQYqHZ9GlgbQJOO9txKgkKjOJfmSnJyMsnJyaSmppKamkp6ejppaWkolUosJ1giMZc870Ok8djGHLFOwcvJ+F1jJgV7kt7CGS0kvwwOKMPOixHoDPoc9zGTShgUkL1K7L+BQoMll1hYWOQpSM/M2Rkz5wLQUcml6uiBhwf4/sz3gNFQUe9Ws2HyBtzd3XFyckIikTBs7A94eXkxduxYSpQwWuFNmjShb9++ZGRk5Di/Uv4dGH7RmWVzJoOtG8iMa+X29va0a9eOdi+8RwYD2zcs4+u1U5Gby9Hz8sI6deIUu9bsQq1WIwgCgiBgZ2dH8eLF8fDwoFKlSlSrVo028mCK3N2JoFXiLpjhSyqXgf2q6rSrVBVnzWPG/hrEjpUbedhxGlZWrxdKslfYI2pFBLnxJqCQKTIJo1lYWHBsVBUcL09BvGuNoLCDoWfAIpd1j7KhZcuWLFu2DJ1OR7t27TLV+Ckofv31VypUqIA0n8aKTqcjISHBpIPj7+/PpUuXePToUY7S2LklPT2dHTt2oNPpEAQBNzc3mjdv/kZtviAmJoZ69eqh0Wg4e/YsdnZ2BdLua5FIoPVcNHtGotEbsHYuDU2nQOgGQq7eJ+hBdWb8j6EXFxdHY/tULJ5fwmZ6LQHqDNZii0qvYvmp5Tzd9dTk6fnnZmlpScysWTR7+BD5gwc8uXwlSwA/mjTQvAxEF/QaVHE3yDAryr1793j06BEKhQJLS0tsbGxwcXHB2tqa65Lr6DAuL0glUnp3701ZuT0Zx2dhITWAmSVU7fkOTmohuaWUgxW/9PLLosMCRs+KmVTCL738PnrxuFdRaLD8S1h2dZmp4CBSKNW1FM7OzhQrVsz0tFa8eHEmDOxA0n+bUqJiOWg0ETt3f3x9fTlx4kSOa9UNGzZkzpw5YJ99fAhgDAJd3ZKOcfdpWtvAXEsXjugSMYgG2pRvw5TrUwCj+FR4eDhhYWGEhoZy48YNHjx4wOXLl/nll1+4O1RGUVvjk5+ZqKVPVRk775uzbcdOU4E2+wffkTBzJp06deLgwYOv9QY4RDqgeaDBvII5EoOEhS0XZj5GmUippDNgBmjS0Ou1SK/vypL9lBf+vB7H+sfWlLST83lJj3y3kxOiKHL69GlGjRqV7zZiY2Oxt7c3Lae1a9eOu3fvcv78+Tc2WB4+fIhGozHFfz158iTHzJq88OzZMxo3bkxSUhJbtmyhYsWKb9Renqnel6aDplNUrmPPmb+Nxnuldni2iKdTpUr0GTLKFKsUHx9PjOBMUUkkGDSoELhqZjT2JUhwkjqhVqu5du0aCQkJWTaDwcDJUh7YvPC2qFQcnTCe4IAAk1FjX7Qoja1Ko0i5j5lgQJDJMa/chkpSF3x8fGjcuHEWkTuAQ48O8e3pb5FJZFibWfNNw284eSqUg+dsmP1FJ6RlAsC78zs7rYXkjkYVi3FgZAArTz1k16UI0jU6rOQyOlUrwaCA0gVmrDx69CjT3w0bNqRhw4YF0vabUGiw/Euwkdsg8DxrSIT4yHhq1qyJWq3G29sbHx8fqlcux1c2fyLVKuFhJIRfgC/O0bx5c/bv309gYKApk+lFALFOp0Mul5OamsrBgwcpXrx4pvde7F/xzi+4JTzATGKgqAKmxcbyabdVKGQKKhZ9eVNRKBSmwmrZlS5QLW2ELioUmQRUOniaYYG5uZCpiunkyZNZu3YtJ0+eZNq0aXz//fevPDdrVq4hfE84CmsFwWeDqVDiH6m///BiZWSo+GH8t7i1S2XIkCF51mk5eD2a8b9fI0NWjGdKkSEbL7JhYMFqm1y9ehWlUsngwYPz10B6AsJfPzK/uRnE3wPHcrRt25bvvvuOc+fO0bVrV9OuoiiiffIEADN3d5Oxp9LquR2diqONOSWKGL1zSqWS7du3c/ToUWrVqpUpc+VVcUa5IS0tjZYtW5KYmMi4ceNo06bNG7WXH1QqFSE3n1C2bFmTpxHA0dGRCRMmMGbMGPbt2wcYPSzHSnXD0/kKsdf+IuheBstqOGAuNcPH0YefG/2MnXnO3qGMjAwet++A/skTJIKAQSpF4V4KGxsboqKiCAsLIyEhgSXJMlpZ63G2AkW9fsRLjXL5Op2OR48eZWuwNPdojl9xP2KVsZSxK4NcImfc+PFMnLgAaYdCQ+VDppSDFVM7ev9rU5dfRWHxw38Jd5/dpf+B/mgMGhRSBetaraO0XWnu3LnDgQMHOHv2LNKoUH6pG4Pd8/tvskqk/x4Vu25pAePSiEwmM2UuvfhdJpOZijo6OTllev3FNtXrHnXsXxYsxNIRxt7P9fgNBgMrVqxg6ayJHOxrRzFpCgmWZak4ORSDmRWhoaGZnvrPnDlD48aNMTc3Z9OmTS+Xpf5BamoqxYoVw8XFhdatW7NkyZLsB3DiJ1RHZiCTm6O3K0XvY8XZvd+oNNymTRsmTZqEr68v56LPkZiRSB3XOhRVZL9k9M32K2y/+FImXi6VcGd6q1yfi9zwn//8hx07duSverVOA0tqoE8KRxD1SBS28EUI2Lrg7u6Oo6MjoaGhgNFYiRw7jtTDh0AEm5YtcZ01k+QMLe0Wn+aZUoNWL9KvqjWxZ39ny5YtVK9enUGDBiGVSomNjQWgbt26ORY0yw0qlYrWrVsTHh6Or68vW7dufS+aIMHBwQwYMACdTsedO3cyvafRaKhcuTJLliyhRYsW9OzZk9atW9OrVy86d+7Mn3/+iY+PD3///XeuY24ybt3iQrt2OMrMsPD1peSKFUitsz5FV6tWjeXLl/PgwQOSk5MBYxxarVq1XhlU/ILNmzezcOFCgoODC7VW3gM3b958o+vj38SrzkWhh+UjIm7pUhJ+XYYgl+M8bSp2LVoAxpuKVYYVEx0nEno7lKc3nzJg2QBu3ryJUqnE09MTLy8v/Fp1x0rzKxjUANhaW7Lj5AVwKIezszMhISHZPo0BLF26lJCQkJwrGj84AZu7odWoEKRmyPyH5npe9+7dY/DgwSiVSjbuPU5xb+OTgyPg/1cbDhw4wLJly5g582WmUb169fjkk0/4/fff6du3L6dPn8bLyytL29u2GVPB4+Pj+e6773IcQ1SF3rTqO5MLp//E3KUK20YYs60WLlzIggULqF27Nh6DPLCqZYWZzAyFTMGO9jsoZpk1e6Oyqy37rkrI0BqQCFDK0TKbHt+MvXv30qRJk/wdHH8HlPFI0YNg1AVZPLQd55RGHZArV64wbNgwrKyscFMqaXziJDKdMd4h+c8/UTdpzD5JKaKTVc8LLcLKi0mMqVCRadOm0aZNG5ydnRFFkfT0dMzMzN5ITVir1dK1a1eSkpKwsLBgzZo17+2mGhISgq+vb7by/HK5nLlz5zJ69GiuXLlCfHw8Tk5O3L59myNHjlC1alUMBgPr16+nX79+uepP7+ZGi4gI0pOTEXIQN9Tr9dy+fRtPT08qVqzI4cOHSUtLo3Tp0lSuXPm1fajVar777rv3el4LKSQ3FGosv0dSUlKIj4/PVDQxJ5Shl0hYvgJRrcaQmsrT0V8zrFcv/P39KVKkCL6+vsyaNovw6+F4VfTi22+/5cKFCyQnJxMSEsLatWsZMf5HZH12QbHK4FgeocsqJE4VkDx7yLVBUtzX+sLatqBOzdJ/w4YNOXbsWM4DLNMABhzgkN6f7UI7CMxZvvwFer2euXPn4u/vT7t27Th79ize3pndnL6+vjg4OLB9+3ZGjBhhEvADWLJkCebm5lhaWtK+fXuePXv2zy74+eefkUgkDB8+HOdXBEEfOHCAirWbI3PzA6nRjrewsGD8+PFER0eza+8uzGuaoxN0ZOgzeKZ8xrygeZnG84LedTxo6GEB6jR8Stixum/BVMoFuBp3lcDNgdhPs8eskxk6Qz5Eomycjdlnz1HIzWjQoRe9e/emW7duSCQS7OzscHJywowXCj5GVBoNQwcMYPIPU9FoX/YtIiA81wg6fvw4YMx0sba2fiNjZV3YOmqsq8HDVg+Jt4tn9+7duQq0fluEhITg5+f3UufoH7Rv3x5nZ2dWrFhBXFwc1tbWdO7cmYkTJ3L//n2WLFnC+PHjs/2sZkdcXBxOTk45GitgjDdwdHQ0VTvv3Lkzffv2JTAwMFeenGXLllGpUiUaNGiQqzEVUsj7otBgeU+cP3+e7du388cff7Bnzx7TjS8tLY0rV67w+++/M2fOHIYMGUKzZs344tMupP2PLL0eqFvJi7lz5/LgwQNiY2M5ceIES5cuZcSIETRr1gw3N7esT0we9WDYWfjyAng+jwHY3g8neQYSRMSnIXBsRpbxenp6olKpsgRjZcLVl/gKPdh3W/3a+YeFhVGnTh32799PcHAwo0ePNqkq/i8v0oGXLVvGrVu36Nixo6mekIODAwsXLiQlJQVnZ2e6d++OTvfyJvrw4UNu3bqFIAiMHTv2leMJCgqiVavsl20EQaB50+aZYjBEvcjalWuxs7OjT58+3L592/SeVPWMztqDdE7cyJ4v61PSvuA8LF8e/ZJn2mcIUoHb+tvsvLMz741YOaJssYBklYheIkfaYAx1uo7kk08+YfLkyUgkEhwcHBg7dixDf/4Z24oVESwtQaEgxdaGUKWSVhVssFFIUUjBTDBQt0jqCzkStFptgcz1atxV5ofMx2BmAEtw7O9IEZfsa/C8K86fP0+NGjVyNFgEQWDBnJlYHJ3IhnoPid00hJrVqzFmzBgEQcDZ2ZmOHTu+Nu7qBa/TYAGjCz0772JuSElJYfr06cycOTNfxxfyHkh8APtGwww3mFLE+HPfaOPr/3IKDZb3gEql4sqVKyZ13OjoaPr162fK6vnss89Yt24dUVFR+Pj4MGbMGL7dvBkbW1ujxoNMhpWzM599M4b69evj4OCQr3FoNBqCgoJIjbj1XAwLBL2a8we3snTpUu7cuWPK8hAEgYYNG5qennOiUqVK3Lx585V9TpkyhUaNGjFo0CCOHj1KuVfo1JQsWRKdTodMJiMoKAgnJycaNGhAVFQUAP369cPT05PLly+TZJPEgOkDUGqVgLGuiyiKTJw48ZWpr1qtliNHjrxS0dNMasb4WuORS+VYyCzwLO7J3pl76d27N0FBQXh5eeHq6srMcUMwLKpGvcgVzCp9Fi7ksISWDwyigST1S20MtV5NeFr4K47ImU2X03GYq0T8NgoavDTmZFIpY1uWovLdJXB+NYJMRszIr9jk6MDEuFiONmnC1evX2bxqKacnNGNhz+r82s2LxsUyTPFMfn5+bzxXURSZvWw2Bt1L/45cKidWGfvGbeeXFwJyT+yeYP2pNbvv7Sa7EMAqj1fRs7KIt6NIS/unLOtRBolEQvXq1bl48SLTp09n+/btpjihV/HCw/Iqbty4kW+DZe7cubRs2ZIqVark6/hC3jF3D8PSehC6HjSpgGj8Gbre+Prdw+97hG+VwqDb94BSqeS3337LtJzg7OxM9erVcXFxydGNq37wkGebNiFYWuIwoD+yonnXCVGpVBw6dIgdO3awb98+vLy8WNLagir6q0j0KtQGCf85KBBpV4MbN24gkUho0qQJTZo0ISIigps3b7J27doc209JScHFxYXU1NQs8wgJCWHgwIF4eHiwdOnSXEnhX716lbp167Jz505atGiBKIpMnz6dlStXsn//fipXrsz169dps6QNNn42iKJIEfMi7O+2Hxd7F1P8yqvSaU+cOMHXX3/NhQsXXjue+Ix4klRJeNh5ZNJyCQsLY9asWQSm7WVAFRHZc3eDaG6DMCF/RkV2DA4azNmIs0jkEhRSBStbrKSqU9U8t1OvXj0SExOzGpfnlqH581vk6NBJ5Gy4Z8fU0wZGjRpF//79jVXCsyEpKYno6GiKFCnyyqW33DJt2jTW7VqH/HM5EnMJUokUBwsHgj4Jwlz6fqprHz58mG/3fAv+oNKrUMgUfFH1i6zibz/7QNKTl3+71YRBR0xelalTp7Jy5UpWbF/BN4u+oWzRslQrlo2KNbBmzRqOHz/OunXrchxX//79qVu3bp4zxqKiovD29ubSpUu4u7vn6dhCCpZcBd0mPjAaJc8fyLLFzNKoIfUqCYpckJaWxtdff82RI0dQKBQ4ODgwZ84cU0200aNHM2/ePMBo9KalpTFlyhQAli9fzvz58wGjcvP8+fOpX78+nTp14uHDh6SlpREXF2dKovjll1+oW7euqe/CoNsPDEtLS0qXLs2jR48QBAFzc3Natmz52uJl5mVK4/x9zoGjOaFUKjlw4AA7duwgKCgIX19funTpwsyZM40CcgaD0UKPuYZ5hZZ09dcyZMgQWrduzeDBg9kaupXVl1dzZdcVUp+mYmNjQ9OmTWnYsGEWz4WtrS1FixblyZMnpgBepVLJpEmT2LhxIwsWLKB79+65Du4rWbIkarX6/9g767Co8i6Of+7M0KJYWKAgJoiJLdZa2ImN7dqr7mLsroXirmu7xloYa63YKIgFWAiKgYotYqAiFj153z/QUaTD2H3n8zw+PnPvr+4wM/fc3znne7RpzYIg8Ouvv2JtbU2zZs3Yvn071RpUo0CdAmgkGgQEXite47rWlcTERBYtWpSp9oePj0+W6+cUMSpCEaMiqY5XqVKFLVu2gPckxOC1vI/8iIuLZ/fGjfTs2TNH1YE/peKtihw4doDRU0fTsULHHBkrCQkJXLhwgTFjxqQ+eeUf9N8Jisk0CrpXhP4etzNNSTYzM8PMLG/cNUuXLmXVqlXI5XLcCrrxrNQzDGWGDLMf9tWMFUh2B0ntpcSrk12zSaokvO57pTBYlEolV55LsZeCgQwSVWBUOvnHuFatWqxduxaAOh3rsJSlzA2ci0xPxtjqY+lv1z/VnFlxCYWFhTF06NBsX4+bmxuDBg3SGSv/Fs4uB3Um7la1EgJXQLuFuZpq6NChWFtbc+fOHSQSCffv39c+3BgYGLBnzx6mTp2qrTX0noMHD7J69WpOnz6tzTbs3LkzwcHB7N27F/hQl+h9+n920BksX4lmzZoRGRmJUqmkVKlS6GUQVJcZyqgoopcvRx0bR+FBAzGqWpW4uDi8vb3ZtWsXvr6+1K5dm+7du7N48WKKFfukSJ5EAg4DtS/bloerV6/i6upK3w19Ma1rCtWgXI1yRMyNwNjYmOXLl9OvXz/s7Oy0OzANGjTA0NCQH5sUoti2ZpC/CBcth+D84wLq1KnD1atXM93e/hQzMzNtobqP6du3LxYWFjg7OzNz3kykMqk2eNlAKiHx0j7KFDJg7Nixmc7h7e3N6tWrs7WudGkwFuHablDLEdVK7lsPZOc/O3F1wcM7owAAIABJREFUdWXQoEGMHDkyV6JsG9ZtoJxZOaY3mp7jMXx9fTExMUk7y6hoBXgeCmoloiDFtEw1yKV+Snbw8PBgzpw5iKKora79rRAcHIxFNwtuq28jCiIyiQzr/B/+llFRUTg7O1PYtDjb+tVEGXmRdUdvYWRZnKFAzZo1CQkJQRRFNodtBj1QokSpUrLm6po0DZYXL15kaLCIopijlNjbt2/j6emZIvZKxzdO6E7QZGKwaJQQ+k+uDJZ79+4RFBTE1q1btbvkZcuW1RaWlclkDB8+nMWLF+Pu7p6i77x585g/f77WkKlZsyYDBgxgxYoVzJ49O8dreo/OYPlKCIKglcfPDaJCwYOevVBFRYFazZtjx1hS2pKdp07RsGFDunXrxooVK7JtKBQoUIDVq1dTfXN1FChAAwq1goKOBbl+/TrNmjWjTZs2PH/+nBs3brB7924ePnxIH0cb/qz9CCOFCNGvKB85mWUL1tG2c48cXZ+gTKB/DRNMnwSAuh9IPxh2TZo0ISAggHbt2lFjTA3uFbqHTK3AWqlkZakk5EMNUcVGIStYMt3xHz16RGRkJHXq1MnR+lJhZgnjLsHTKwgFLKhWyBrvAcmp26tWraJ27drUr1+fMWPG0LJly2zVwImJieHmzZv8888/uVqip6cnCQkJ1KtXL/XJNr/Bm4cowgOJM7agUKeVuZoru+uaOHEi+vr6HD58mFq1an2xubNCcHAwe2fvZeC+gRiWMcSusB2/1PsFgAsXLtCtWzf69+/PrFmztAHk125+z9YfJzFwyHAsLS1Rq9VERkaSTz8fUkGKWkx2CxvJ0t59e/HiRYapyU+ePMHY2DjNqukZ8csvv/DTTz/lOP5Nx1dAEZe37dLh+vXrVK9ePc0kiPeMHj2aqlWrpkpmuH79eqrvrYODQ4YuzeygC7r9FyOKItf9/Ul68QLexcOoVCq6VKxIREQEPj4+DB06NNvGynsEQcBY70OGixQpJcxK8OTJE2JjY4mIiCA6OhqZTEbZsmWpUaMGxYRXKdK085kY09Yxh0GYigRY3YQ/W0J7pRds7pTsvvqISpUqERgYyON/HtM4uDhrIl+w7elzTKUCRnoC638dkGZg5Ht8fHxo3bp1hl/ObGOYH6wdodCHp+9y5cqxcOFCHj58SKdOnZgyZQoVK1ZkyZIlvHmTtSJzGzZsQCaTpakQnFUUCgVeXl6ULl067ZucUUEY5M0s9SiWJXUF02Kp23wGDh06xKBBgzAxMeH06dPfnLHy5MkTlEolV4OuYnXWiksul9jSdgsFDQuyefNmnJycWLx4MXPmzEnxWVqxYgUAY8aMQRAEbeDtqOqjKCAtAIpkY2VOwzlpzpuZSygnAbdBQUEEBgYybty4bPXT8ZXRTzt+LMftckH+/PlxcXFh2bJlmbbNq2KqoDNYvknUajWPHz/m+fPnqW62UVFRbNu2jYEDB1KqVCl6jRyJ+NFN3NDQkGZ9+2rr7uSWeY3nYSg1RF+iT6UilVjsspiXL18yd+5cli1bhoeHBzt37sTb25szZ87g/vcJbcyIWhQQDPNDgRxWKr7vD7FPyacPhoIKIi9B1PVUzczNzTlx4gTxLwRs5YoP24aiBv/zYRl+qbITv5IXGBsbM3ToUC5evMimTZsIDg7G2tqa4cOHc+XKlQz7rl27lkaNGuVK4v748eMULVqUxo0bZ9gus2yvvMTPz48ePXpQrFgxzp8/T4UKFTLv9IUJDg7GwcGB+fPnM2XKFCA5XmXcuHHMnj0bf39/unbtmqqfTCZj4cKFrF27lufPn2sNFnNjc5xjnbG/bI+fsx91SqS9w5dZllB23UGiKDJ58mRmzpyJsXHeCxrq+IxUdQZJJqEDEj2o2jNX09jZ2XHlypVM9cHGjx/P+vXrif9IbsPW1paQkJAU7S5evJjjLLZP0Rks3xgqlYo9e/Zw9OhRDh06xIkTJ/Dz82Pq1KnUrFmTChUq4OnpSd26dTl16hTX7t3DxsMDWcmSSAsWpOgP4zDOw6fTxhaNOdXrFL7dfdnebjtVK1dFqVQSHh6edoeiFXnTfj2+90WC4krCkGMpaq5kCz0j+NhgE99VkU0DY2NjVm/34u/nFVGqRUQRjPUE+leIx23WDI4dO5aqj1wu58SJE7R+pxj8JREEgQYNGrBt2zZu3LhB6dKladeuHY6OjuzYsSOVzkdSUhI3btzA1dU1V/Pu2L8Ds7Jm1K2fcW0jW1vbL2KwnD17FicnJ2xsbLhw4QIlS6bvvvuanD9/HlNTUwoVKkTjxo2JioqiZcuW3Lt3j/Pnz2fotvn++++xtLSkR48eWoMF4HLIZRraNsREL30hvMwMluzusPj4+BAVFZVlpV0d3xANxqRwiaeJVA/qj87VNDY2Njg4ODBjxgztA/OdO3fYv39/inaFChXC2dmZ9evXa49NmjSJyZMna0uGXL58mY0bNzJq1Khcrek9OoPlG+PBgwfExsZqCxDevHmTOXPmoKenx7Jly3jx4gV79+5l5MiRyQXYAJN6dSl/4jgVAs9S+DP8EBnKDCliVARBEBAEgWbNmmWox1KoRnu67dHwU6BZckxHTrFugqKMIwlKkSQVKKv1h8I26TaXSqXsf1QAUZAiCCAg0q6iAd0rQo8ePbh3L2Vto9OnT1O5cuVUke5fmuLFi/Prr78SHh7O+PHjWb16NVZWVsyYMYPIRw9g91CE30sTMtyE1nVyXp3Y+543IQ4hKJwVeObz5K38bbptK1asyJ07d9JU8s01KgWo5Jw/f55mzZphb29PUFBQnu0Kfg6CgoK4fPkyU6ZMISQkhNq1a+Po6MiBAweylB31zz//cPr0aURR1BosISEhGbq+RFEkKioq9zssoggn5yOuqIve3sEsnP1zrgtR6vgKFCoLzpuTH9o+3WmR6CUfd96c65RmgHXr1vHs2TPKlSuHvb09w4YNS/Nh4scffyQ6Olr7umPHjgwePJgGDRpQqVIlhg0bxpYtWyhRokSu1wQ6HZZvjnv37hEQEKBVbJVIJPTq1Std/YuvwZo1azh16hR///13um1q1KjBs2fPtAJvOWX3rl0c/Hs5cpWGboN/oFu39CvJhoaG0rNja8IGKxHeRdNrBBkPKwzGfvhfFC5cmKtXr2Jqagokf9kKFCjA9Ok5z7j5XFy/fp2VK1dS4s5WXOsJGEg0qDUgLVElWWchBzhsdkAuJqsQ60n0GGo/lFHV03/ysbKy4tixYxkK+2WbU4vAzx1RFPn9dBI+cgeOHz+eqyy5z41GrSZ/gQKUKlWKqVOnMmnSJP766680XUAZ0bRpU+7fv69NK7e1teXly5fpprvHvX1FeSsLIl/GIaQRnC2KIkWKFOH69esZa99c2Ai+U0GZgFIDsjJ1EYYcydbadXxesuXae3U/OXU59J/kAFv9fMluoPqj88RY+drodFj+RZQpUwYzMzPevn2LKIqUL1/+mzJWIPmHd/bs2RkGU1WtWpWrV69qVWpzis/hw1Rv3gVDQ0N27dqVocGycOFCXIaPRbAIgkdBqBSJJMiV5HPoibd3R1q1akWbNm04deoUEokEHx8fNm/enOO1fU7s7OxYsWIFym1v0bvtBYBUArx+kKPxRFFEoVZo91RVGhUJqgwEqPgQx5JnBkv0XQiYBxoVAjChngGTRyxF8g0bK5xbBUemE/WDhDURBsydOxd/f/8c+eQ9PT0pUaIEneuUIdhzCZXK26SvzXPTG2PPQTwco4fwdxfo65nKtfrixQtEUSQpKYnz588TFRXF8+fPU/0/vnQY7Usn/631JMDT0GyvXcc3RKGyyWnLudRa+TeiM1i+Md5ngURFRaGnp/dNph2WL18etVrN/fv3tW6pT6lSpQpGRkY8efKEMmXK5GgeURQ5fPgwkyZNwszMjMmTJ5OYmJjmj/zjx4/x8vJiyZIlYPoTXN6KJD6a9qOX8nB7d60Ptl27dvzyfQ9cO9rRpFAUNWtUz9HavhR61bpD+DFQJqIQpeiXa5GjcURRJD4gHqOGRhgaGKIn06NHhYxTzStXrkxYWBgdOnTI0ZypSIhGJQraHx2lWsOWP+dRsd1oGjRokLeZWnlB1A04NguJRoGxnsBI60cMnn2C/NY5CyAsWqQIp3+0p4r0HpKYTTi0LQAqOcg+EcPTaGD3YCTqJCRSUIaf5rCbM4eiiqcwRp48eUJSUhKOjo4UK1YMc3Nz7f8WFhbUqlULc3NzKieeR3P1TySqRBRqiDMtQ/aSoHXo+DbQGSzfIBKJJE/kzT8XH9cVSs9gqVy5MjKZjIiIiBwbLFevXsXAwIDy5csjCAI1a9bE19c3zbTepUuXMmDAgA9xEA6DkAD/HO1H2bJl6dy5MwcPHsRr3Twa3ZqJ4fljLG4uRXJgDHT5K0fr+yLYdQZRJP783yz39GPilBXkZD8iKCgIlZ8K6Usp0xZPo16JehQzyThl2dbWltOnT+ds3Wmw5fhVGr5KpLSZDIlEgkH+/DxPtGbFuHE8fvyY9u3b07Fj8k6YiYkJ/reiWOl3lwLG+kxrZ0vpwl84qyXmCaJUhvCunqa+sQkG5ELj4tV96ppGIqgEQIOV9E2yGFjNTwTjNMrkOJ93SEQVJpIkqlWrhrm5udYw8fLy4saNG6xbty7jecWWUMiI+wf+QGlWlg6Lb7OpQSD169fP+bXo0PEV0AXd6sgRzZo1w8/PL93zlSpVQqFQEBERkeM5fHx8cHJy0rqdevTogaenZ6p2b9++xcPDg/Hjx6c6V6JECXbv3s2RI0eYPXs2bUq8wURfQCYBQ4k62Q+s+QyBpXlJlS6YDNqDV4wdvsf9czTEnj170NfX54cuP9CpXKdMjRXIu9RmlUrFhAkTmDX3D+QDjiBt5YbQfBr6Y4P5ZdZvXLp0iQsXLlCzZs3kuJ0SJWjRfSDDNgYR/OA1x288p9tfZ1GqM06zzHNKOaBQgUoDokSGoGcMJXO3Iyd8JK0uIEJQGsayzIBnheoQpxBRI0VqkI/mY5YzcuRIunXrhqOjIxUqVCAiIiJrrilBAMeJ/HSvAdcq/cjStX/TuXNnrl9PLRGgQ8e3jM5g0ZEj3u+wpBezbW1tjUKh4M6dOzme473B8p4uXbrg7e2trSv0nrVr19K6det0d3Latm3LuHHjmDNnDtcfRiPIPqotpG8Cwr/ja9C3b9/kekXZRBRFduzYQXR0NL17985yv8qVK3Pz5s0Mhfcy49WrV7Rt25awsDCCg4OpVL1ucnBgw3Fg8sHdWaZMGcaOHcvRo0d5+PAhdk3ao3pnoGhEeB2bwJmLKW+woijy8uVLXr9+nas1pkciBjTdIeVx6S4IDcbB9yfBwDTnAxYqC4YfMooEIPH181TN3r59Sw33i0w9Y4DQYnryvEVSxxFlN6XZ1NSUmJgYnJycWLhwIU5OTrl6oNDxdXgU84g55+ZQb1s9qm6qSr1t9Zhzbg6PYh597aV9dv4dv9Q6vjnK8YALvePQ/FY6OTDxE6RSKebm5oSG5izA7+3bt4SEhNCsWTPtseLFi1OtWjWOHPmQ4aBQKFi6dGmm+iR//PEH1atXx3HiJuLNKiFKZMQr4XGDuclPoP8CnJ2dOXz4MLGxsdnqd/nyZWJiYhg2bFi2CjAWKlQIQ0NDIiMjs7tUIDnTqU6dOtjb23Po0KEspy2bmZnh0vE7DA0+iu0QNfTr1oGKFSsyadIkTp8+jY+PD/v372fv3r0EBATkudHyxx9/UKpybayGboQWM8A0l25aQSDCujeJ71xM8QqRpX5PGDBgQIpsuh9++IGChYpQovUEJI3Gp5vKHxYWli3RuPz582s/O/369WPixIm0atWKFy9e5PyadHxRTj0+RVevruy+vZt4ZTwiIvHKeHbf3k1Xr66cenzqay/xs6IzWHRkn4RXCDv7U9xERKqIgeNu8PhCqmY2NjaptE+yyrFjx2jQoEEqNc7u3buza9cu7esdO3ZQsWJFatSokeF4UqkULy8vRKk+NnNu8nJwMIv1x/Pz+tSCct8qhQsXpnHjxtqqp1nlvRDd6NHZF5TKqVvowIEDNGvWjOnTp7Nw4cJsZ4rVKlMQt052lClsjH2pAuwb14xHEeFs27YNAwMD3N3duXfvHiqVCpVKxf3793n9+nW215keDx48YNmyZSxcmHeZGPfu3aP+eA9ulBuJWLUnK+6UwEfuwJkzZ7Czs2PWrFns2LGDgIAAnj17lqG425s3b4iJicHSMus6R6ampimM3fHjx9OtWzecejjxS8AvuAa4cj1a5yb6VnkU84iJARNJUiWhElUpzqlEFUmqJCYGTMyTnRYrKyvs7e2pWrUqTZo00e7EPXr0CGtra20x2tevX2Ntbf3Fdup0BouObBEREcE/65aSkPQhKFAUhGRtgE+wt7fP8dN5epL5Xbt2xcvLC7lcjiiKLFiwIMvqr8WKFWPPnj3ExcXTtmtvho0Yhbe3d67cVl+anLiFNm/eTJ06dXIU/JxdxVtRFJkzZw6jRo3i4MGDuLi4ZHvO9/RwsCTAtRleYxtRpVQBbS2e2bNns2bNmlTGbGZS4tnhxx9/5IcffshxwPinvHjxgjZt2jBjxkxqDvwdoesaqgxazMtXrylTpgxdu3YlNDSUvn37UqlSJRo1apSh6u97rYrsFM/Mnz8/MTExKY7NdJuJ2FvkwP0DHH5wmEG+g/4vXAv/RjaFbUKlVmXYRqVWJVcCzwP8/PwIDQ2ladOmzJmTXOvK0tKSkSNHastTTJkyheHDh+fZ9yQzdAaLjgxRKpX4+/vj6uqKnZ0dtWvX5ujFe2BgiihI0bzTgaB06sq/derU4c2bN9m+kbxPZ/44fuU9JUuWpEqVKhw7dgxfX18AWrVqleWxmzVrxqRJkwgPD2fSpEmMHj2auXPnZmt9X5MOHTpw/vx5nj17lqX2YWFhREdHM23atBzN9z61OSvEx8fTs2dPDh48SHBwcN5VwE6DkiVLUrBgQfT09NDT06NYsWJ5JgFw7NgxLl26lOsyCO+Jj4+nffv29OzZk++//1573MnJCX19fQYNGsTp06cJDw+nV69enDlzhtDQUO3nOy2yW0MIUu+wADyOf4wsnyzFnSAkKgQd3x4H7x9MtbPyKSpRxcH7B/N03vr16/PkyRPt6wkTJnDu3DmWLFnC6dOn+fHHH/N0vozQGSz/p4gaDUlhYSTdvp3K9//s2TM2bNhA9+7dMTc3Z9KkSZiYmLBx40aePXvGuo1bMB53DqGmCxdV5Wi1Xc12n9Tqq9WrV0cQBKKiorK1to/TmdPifbbQggUL+Omnn7JdCfSXX37B3t4eX19fJBIJXl5eOXZdfWmMjY3p1KkTO3bsyLihKMKNg1xe/T01Spvy3Xff5Wi+rLqEIiIiaNiwIcbGxvj7+3/2mkBSqZROnTrx3Xff0aJFixTZZLnhfUHDRYsWZSveJz1UKhW9evWicuXKzJ49O8U5QRD49ddfWbJkCd9//z2hoaE0aNCAfPnysXDhQsaOHUvr1q3TjAPLSZXmtAyWokZFUSg/2i0VRazyW2VrXB1fhgRlxkKP74lXxmfeKBscPnw4hZSEnp4e8+fPZ8KECSxZsgR9/RzWissBOoPl/xBRrebRsOE86NuPB849eTJlCucCA5k+fToODg5UrlwZHx8fOnTowM2bNwkODmbmzJnUrl37wxZ0/hLQYQnFRx4gNArGjBnDzZs3U8xToUIFNBpNto2BT9OZP6Vr167s27ePmzdv0qtXr2xfv1QqZfv27eiV02OHyQ4s51gyce3EbI/ztejbty9bt27NuJHPZNgznK6moZzqJyA8v5ajubJisAQEBFCvXj0GDhzIhg0btNW6PzdSqZTSpUtjaWmZLddIRvz5559YWlrSqVOnXI8liiKjR49GLpezdu3aND/PnTt3Ji4ujlmzZrFq1SpcXV3p0KED3bp14/r163To0IGWLVsyZMiQD+7VpBhiw0OwrZi2QZ8eabmEvPd688rjFYX1C2NmYMa4muOobv5tiyn+v2KcTuHXT8momGZ2aNasGebm5hw7dow+ffqkOOfj40OJEiW4di1nvys5RWew/B8Sf+4c8RcvIiYmIiYl8WLffmYNG4ZcLmfRokVERUWxc+dOBgwYQLFiGet1WFhY4OTkxHfffUePHj1ISPjwFGBkZISxsTHnz5/P1vo+TWdOa049PT3atGmTY+ter4Ae5sPNkRWVoTJScdfmLv7X/HM01pemefPmPH78mFu3bqXf6IIHKOMxlIG+oOL54QUolco0m8bLVVyPfEtMUurzJUuWJCkpSRtk9ymrVq3C2dmZv//+m/Hjx+fJLsfX4tmzZ8ydO5elS5fmyXW4u7sTHBzM7t27062VJAgCRkZGmJqa0r9/f6RSKT6Hfdh+eTtbb22lff/23L59m6JFi2Jvb8+GGYMRF1ZkYaWLON2eAjFZjxH7dIfF29ubcePG4bXcC//e/pzqdYr+tv0zGEHH16R92fbIhIyD12WCjPZl2+fJfH5+fkRERGBnZ5ei3trly5c5evQo586dY/HixbmuF5cddAbL/wkqlYrAwEBmzJjB+LFjiY//sG1oaGTEXk9P5s2bR+PGjbNdiG78+PFcuHCBqlWrMmbMmBTnzM3NuXTpUpbHiomJSZXO/CkREREkJCQgl8uztc6PiYyLRP/j2ixqmO8xP8fjfUmkUim9e/fOeJfF4EP9KZVGguehExQsWBBHR0dcXV3Zs2cPkZGR3HkeS4PfT9Bz9Tnqzz3OxYcpM20EQUhzl0WhUDBixAiWL1/OmTNnaNEiZyUDviWmTJnCoEGDqFSpUq7H2rhxI+vXr8fb21tbbDMtPDw8EBExrmLM0D+H4vCdA3Y/2TH3wlyWXlxKz4M9iRaj+f3337l48SLtVd4IygTy6YEs6RX4ZT3+6uO05pMnTzJw4ED2799P1apVc329Oj4/A2wHIJNmYrBIZbjY5jzQ/VOMjIxYsmQJmzdv5tWrV4iiyMiRI1myZAmlS5fG1dWVn376Kc/mywydwfIfISIigm3btrFt2zbu30/O2ImMjGTDhg307NkTc3NzRowYQVJSEn3nzaOgnR2CsTESY2NMHBwwqFgxx3PXq1ePokWL0qFDB86dO8eGDRu056ysrLh9+3aWx0ovnfljlixZQr9+/fDx8Ul31yAzyhYoi0wiQ/LuKyBIBY79fSyVW+tb5b1bKD3tkRt2rsQrQZQaoFeyCmO2hBEZGcnMmTMpUKAAHh4eVK1alRauK3mbICdOriJeoebXvVdTjVW7dm3CwsJITEwEICoqihYtWvD06VMCAwPztprzVyIwMJCjR4/mODj5Y3x9fZk8eTLe3t6UKFEi3XYPHjxgypQptHBvgUlPEy6ZXeJtl7dE5o8EveQAykRVojaIskyZMhQt8GG7XxBVIM+iJo8oUvLVWUbbPObuoWV0796dbdu2Ua9e6mB5Hd8mlvktWdRkEYYyw1Q7LTJBhqHMkEVNFmGZP+up7lmhRIkS9O7dmxUrVrB27VpKly5Ny5YtARg1ahQ3b94kICAgT+dMD0H8HBKROr4ocXFx/PPPP6jVyRLzGo2GrVu3cv36dVq2bEmbNm1o3bp1ikBIUaEgPigIQSbDuE4dhFwWntu+fTtr1qxhxYoVNGnShBMnTmBvW5lDU5pj8voaTQe7Qb1RkEmswbBhw7Czs0tTZh+S8/5tbGwIDQ2le/fuuLm5ZStL6GMiYiL489KfJKmSeLTzESe2ncDc3Jy7d+9+864NURSpXLkyGzduTHXTEUWRhg0bMmLoQFx6dIJ85mmK44miSMelflx9lqg9pnr1BNsHu3B0dMTR0REjIyMuX76MRqPByMiISpUq0bNnT1xcXJg1a1aexY58TdRqNXXr1uWHH36gf//cuUQuXrxI69at2bdvHw0bNky3nUaj4bvvvqONUxu2F9+OWvxQHkImkaHSJGeDGEgNGF9zPP1s+yWfDFqN5uh0EhISMTQ0RDbYByxqZb6wkwvRnJyPRJVIghJuWA+i1tAlubpWHXlHdrK+HsU8YnPYZg7eP0i8Mh4TPRPal22Pi61LnhsrX4OM3gudwfIfIDIyEl9fX+1ug0ajoWzZsjRv3jzbgl05RalUYmVlhbe3N6Ghobi7uxM6rw3C5S3oiUrQM4bGruCYfnCrKIpYWlpy/PhxKqaz4/Pbb79x8+ZNNm3axMKFC7l58yZr167Nk/W3adMGPz8/xo8fz6JFi3I95udm9uzZPH/+nOXLl6c47unpibu7OyEhIZlWQD57L5ohGy8gkYBaI+LmZIPRy1ucPHmSU6dO4eLikuIzdPLkSTp16kSPHhlXev43sXbtWjZu3Mjp06dzZaiGh4fTqFEj/vzzT7p27Zph22XLlrFjxw5OnjxJ/e31SdK8Kzehho7lO+Ib4UuSPAmHkg6sbrUaA+kH1d8nQXv5/cfBmNq1Zu7qTLLF3iEurYbw+oH29UtDa+L7HMDS0vKbN87/H8hJmvp/FZ3B8h8nKSlJq2YKyWlnPXv2zNCt8jl4rz7q4eHBsGHDcC/qhbn+h6d3SjnAsOPp9r969SqdOnXi3r17af6IyuVyrK2t8fX1xd7engcPHlC7dm2ePn2aJ4ZZYmIi5cqVIyoqii1bttCzZ89cj/k5uX//PvXq1ePJkyfauCO5XI6trS1r1qzJcipzeHQ8oY/fUKl4fioW/xBvIYoiHh4e2p07lUpF6dKlad8+b4L6vgVev35NpUqV8PHxoWbNmjke5+XLlzRs2JDRo0czduzYDNveunWLhg0bEhgYSGRkJP1m9KPIoCJIpVLiH8Wz9ru11HWoi3V5a86cOJNKlOvevXs0bdoUlUrFkydPMtzlio2NZe3atdS+MYcGJdVIBVAh4eyrwnTfEYOenh7169enfv361KtXj1q1an2xLC8dH9AZLB/I6L349+/n6sDQ0JBOnTphbW2T/NsAAAAgAElEQVSNlZUVHTt2/OLGCsDw4cPZu3cv4ZHhLF6ymGvRoH73EdNI9KF4xsF9maUzb926lapVq2Jvbw8kx8dYW1vj7++fJ+s3MjLi1KlTaDQaBg4cmO3spi9N2bJlKVeuHEePHtUeW758OZUrV86W7op1ERM6VS+VwliB5IBbBwcH1Go1iYmJ5MuX7z8RXPsx06dPp2vXrjkzVhTx8PQKia8i6dChAx07dszUWFGpVAwYMICZM2dy9+5devToweYZmznT5wwHuxzke+PvWfT7IvQkeliXtCY8PDzVGKIooq+vj5mZGSEhaYu8vXjxgunTp1O2bFmCgoIo4LIFadEKIAjIStjT+LdzPH/+nFOnTtGlSxcePHjADz/8QOHChbXusR07dhAREaGNk3pz4AC3HRtzp0lTYk+cyP77pUNHbhF16Mgj4hXxYt1ldUX7DfZi3a11xf1nt4jHBhYQn/+UT7z/u6MoyuMy7N+0aVPRy8srzXNqtVqsXLmyeOzYsRTH582bJ37//fd5dg2iKIqjR48W8+XLJ+bPn1989OhRno6d1yxfvlzs3bu3KIqiGB0dLRYpUkQMCwvLk7Fv374tVq5cWRw7dqzYvHlz8fz583ky7rfClStXxKJFi4rR0dHZ7xx9VxTnWYsa91Jiwq8FRbfBrUS1Wp1pt7lz54rfffeduGPHDtHc3FwMDAxMcT4+Pl4sVqyYePXqVXHAgAHi+vXrU41x+/Zt0cbGRvzpp5/E6dOnpzgXHh4ujhkzRjQzMxOHDx8u3r59O2VnjSbD9cXHx4sBAQHivHnzxM6dO4vFihUTS5QoIQ5r21YMtbUTwypWEsMqVhJvVKsuKp49y/R6dWSNvPrO/hfI6L3Q7bDoyDM8rnkgLyBHFJIriC55tJ6XTmsovjAet5s2oJ++oFFm6cze3t4YGhrSvHnzFMe7d+/O3r17UakylqzODtOmTUMqlSKRSKhfv36KFPBvDWdnZ7y9vYmLi8PNzY0ePXrkydayr68vjRo14ocffmDZsmUULVo0Y92XfxmiKDJmzBhmzZqVM0n/426ICa8RFLEYSdX8Ui0q0wDk0NBQFi1ahJOTExMmTODIkSOpAqaNjY2ZMGEC7u7ulC1bVpvx9+naBUGgffv2HDyYnEF09epV+vfvT61atTA2NiYsLIzVq1enVovOJF7F2NiYxo0bM2nSJPbu3cvTp085e/YsnWrXRv1Ru7ikJGaPGcNff/3FhQsXtO7oj4mPj+fq1avcvn07T+s8/b+jePiQp7NmcauWAzcq23KrlgNPZ81C8fDh117aZ0dnsOjIM6ITo1PUungrf4uzszP6+vrs27cv7RRcjQaOuSEsd8BnQCFMSEpz7Pnz5+Pq6prKXVS2bFksLCw4dSrvyqoXK1aMIUOG0LFjR169ekXTpk2/2R/cokWL0qhRI1atWsXWrVuZOXNmrsYTRZGFCxcyaNAgdu3apa19k52aQv8GduzYQWxsLMOHD89yH1EUCQsLw93dHb+jPgh8+EzEvIzKsFq0QqHAxcWFVq1asWzZMvz8/KhWrVqabUeNGsWxY8cwMjLK0GBp2LAhd+7coUWLFrRq1Qo7Ozvu3bvHvHnzMkynzg6CIGBlZUXr0aMxMjRMNngkEoxNTLBo2JDg4GAGDx6MmZkZtWvXZtSoUXh4eBASEoKnpydBQUGcPn0aHx+fdFPwdWSduJMnud+pM288d6GJjwdRRBMfzxvPXdzv1Jm4kye/9hI/KzqDRUee0bV8VwylhkgFKRK1hKTgJO7fv0/x4sV5+/YtCxcuTN0p6C8IWoWp4jn1Cr+FnalFj4KDg3nw4AHdu3dPc973tYXyEldXV7y8vNi7dy9XrlxJDsBNfA1x2auL9CXo27evtq6Subl59gdQJoFGQ1JSEgMGDGDr1q2cO3cOR0dHbZOs1hT6NxAXF4erqyt//vlnpllUGo2Gc+fOMXnyZCpVqkTLli3Ztm0b8wLVKAV9RP18aKSGeL6qTPny5XFzc0slfw/g5uaGXC4nKCiIgICAdLPgIFmRduzYsfj7+6dpsKjVauLj42nSpAkajYbixYsTHh7OlClTMDMzy/4bkgVkRYtSZvs2TNu0IX/7dpTbs5vh48fj4eFBaGgoL168YMmSJVSoUIETJ04wb9484uLi0Gg0qFQqnj17lkIFW0f2UTx8yOMfxiMmJsKnO8oqFWJiIo9/GJ8nOy1WVlbY29tTtWpVmjRpQkREBAB79+6levXqKf5JJBJ8fHxyPWdW0GUJ6chTbr26xaknp7AwteDuobu4z3HHyMgIlUpFXFwchw4don79+rx+/ZozZ85QJuhX7KUfBRbq54Ofn6QY09nZmQYNGqSrzXL37l0aNWrEk0cPkerlXSGuCRMmIIoi7dq144RbB2Y3N0rORqrUHrqtz1RT5ktx+PBh2rZtS3h4ePbKvKtV4OkCtw6jkeozIbAQz02r4uHhkSpo++rVqzg7O/8njJapU6fy6NEjtmzZkuZ5hUKBv78/e/fuZf/+/RQsWJDOnTujr6+vLUUwe/ZsCmhew+MLULQSFK/C3bt3cXNz4/Dhw0yYMIEfen2HcdBSXr5+Q6vf/Ik3tsTPzy9Lux+vX7+mZmVrGllK+HvfUShVC6VSyY4dO3Bzc+PRo0ds2rQJhUKBp6cnBw4cyOu3KVfcu3cPf39/bYaZRCLBxcXlixbK+zeRlSyhp7Nm8cZzV2pj5WNkMsycnSkxPXcCiFZWVly4cIEiRYowY8YMIiMj05SPWLNmDVu3bsXPzy/PNJl0ac06Pjua+HhEEaT5UsapeHt706lTJypUqEDJkiU5d+4clpaWPHr0iLp16zK+UX7aSE4j08hRIUVm0wT679X2v3//PnXq1OHBgwfky5fv02mTeRLCq+UtKGggIpT7DnpuBb3cp2Y+ffoUOzs7bgSfoPCW75CR/EMh6psg9NgM5b9+xoxGo6FOnToYGhri7OzMuHHjst754mZE70kIquTUcwV66E17hpCG/LdcLsfMzIyYmJhsl274lrhz5w7169cnNDQ0hZBiXFwchw8fZu/evfj4+FC2XVmMmxhjWcSSYVbDmDVhFjExMaxevRoHB4cM57h58yaLZk9lYZkT5NMHUQNxKgHlyPMUtsxiwcK3T4hfVBO1IpF8JsYEy+rRc9UlbGxs6N27t1aD6NWrV1hZWfH8+fM8qS6dV2g0Go4dO8bDd0/7jo6OGe4q/b+TFYPlVi2HZDdQJkjy5aPihdxlOH5ssBw+fJhly5bh7e2dos3t27dp3rw5Z8+epXTp0rma72Myei++jKqYjv80L5b9SfSaNQAUcnHB3PUnbt26xalTpzh16hSCIBAWFsaTJ0+oWbMmSqWSS5cuYWBgAKIIp5dwaesMEkwtaNhjY4qxFy1axPDhw9M3VgB29KWQwbt4ggenIWgVNJqQ6+sqUaIE/fr1Y8Nfy5hSUB+UyQZLQnwCwYf3UbdUxiUEvgTbtm1DIpEwa9JoHnv+DL7Poc5wKJhypyVJmcThK4d5eO8hUdeiCL0SSn3VGVwdlMgkyXFB+oIG1ApIw2AxMDDA0tKSu3fv/jv1Im4chDtHOLznNJNcXSlZsiQvXrzQuv0CAgKoX78+Xbp0weVnF3699Cuv1a95/eY1o06OYniX4YwdPTZTFxJApUqVWDNzNKp/ghBU8QiSZG0kw4SHKJ8YE3P0KLKCBcnfrh1CevpBFzdhLFEiGAigSsRB6Y/nzsPUqVuP69evs3jxYgAKFSpEjRo18PPzo23btnn5juUKiURCq1atSEpKQiaTfTEBy/8ymiy61LJi1GSHw4cP07lz5xTHlEolffr0YcGCBXlqrGSG7lOkI1fI797l5fr12m3KZxs20HXxIp4YGGjl3cPDw2nRogXz5s3D0tKS+/fvs2jRIqZOnZocxOc4AUenadjaGhJsWEA79suXL9m6dWumwZ5i3Au0obiqJBQv7pNXG8+TJ0+mqn0VJs6tjurxJQz09ZEaG7PmxH16zCqNi4sLI0eOTJ2N8QVITEzk559/ZsffHtS/MAaV1SvEwJWIF7cQWOtPQm4+IDQ0lCvXrvCm7RsMihsgkUrIb5CfqJtRRCMwtjqY6AsIMkOwdgT99A2w93Es/zqD5coOODgelIkMKQXXlMepV28v165do3r16lSuXJmxY8fy+vVrjhw5QsSlCOR15AgyAQQwLGhI/+79s2SsvCciXoZ5UgLv79OiSk6b1s4szW+BTBQRZDJijhzBcsWKtAeQ6CW7HN+5VGQyferUrpM81rug2/c4tXdim982bBvaYlXAKkdv0edCJ0KXd0iMjbO2w2KSfjZmdmjWrBnPnz/H3NycOXPmpDg3bdo07Ozs6NWrV57MlVW+DSe8jm+OuLg4Hj9+nGagnFwu58yZM/z2229MGDaMuMQParZSPT22rFzJgwcP+Pvvvxk+fDhFihShUqVKiKJIbGwsGo2GJUuWpCiYpdFouH79eopihitXrqRr167p+vzVajXz589n9001SvQQgQQltJu6CS8vrzx5H0qVKkXvPn0Zf8mGH09IEJx+w3DCRbbv9ebChQvo6+vTsGFDWrduzYEDB7Q++y/B4sWLqV27Ng3K5kdQxKEnBQENsW9fs2LqAJYtW8a1a9cwq2WGsYUxgoGAKBN5W+Itjdo14kGcPo+d/kZoOhXazIVe2zKc71+bKXR5GyiTP6PGemDxOpBbt25RtmxZ8uXLh0ql0tZm6tOnD2N7jMVQP/lGK0GCmYEZZgZZD2b19fWlTuue+BfsjVjAEsxK87zxPOoaFUOUy0GpRExMJM4/AHVcXNqD1B6CyrAosQoQZYbg9Ls2ZupjgyVBmcDJMie5XP4y3b26s/Lyyly8UTq+ZfJ37ACZ7VTJZOTv2DFP5vPz8yMiIgI7OzumT5+uPe7v78/u3btTlQT5Euh2WHSk4vHjxxw5cgSJRIIoirRo0YI7d+4QEBDAyZMnOX/+PBUrVqRJkya0HjWK/GvWonnxAkQRwyJFKNO6dYrxjI2NUSqV2NnZ4erqyoEDB3j06BHOzs6EhoZSrEgh5HI5FSpU4Pr161SvXp3ExERWrFiBn59fmmu8desWAwcOxMjIiPVrz6P3+hS8CkdZqinR3j/Rs2dP2rZty8qVK3OWOfMRU6ZMoWLFirRp0wZJ7SHa41ZWVvz+++/MnDkTT09P5s6dy9ixYxkxYgRDhw6laNGiuZo3I54/f86iRYs4d+4cmOqD+oOhl8/YgBGTZ9AZcxITE7kqv8pxyXE079JwpVIpJ06cwN/fnwoVKgCdsjRnjQoW3D3rBTGRkL9k5h2+EW6/EimjAgMZiIKE4pVq8/r1sQz7FL5XmI3XN1LIsBDT6k1DKsl8d0UURebNm8eyZcvYtWtXiiwra8DVrQhPZrlpdyPlKhXTZ89m1LhxlCpVKuVgxoXYUeRHbl7fhfuStWBmmWKe9wbLofBDvFC8QDAQkKvlrL26lgF2AzDRy5unbB3fDoUHDeLtvv2IGQTdCnp6FB44IM/mNDIyYsmSJdjb2/Prr78iCAKDBg1i27ZtmJqaZj5AHqMzWHSkIjAwMIUQ29KlSwkMDNQKSjVo0IACBT64btROTrw9cAA0IgU6tEfySVyHkZERiYmJ1K5dm5CQEP744w/Kly/PspkTUC6wRTRRc2m4EWuSqnEp6DTV4wIIC/SnY6MqqdwParWapUuXMnfuXNzc3BgxYsS76PRkl0wBktOgR44cyf79+7G1tWXBggUMGDAgx0XeLCwsMDc3Ry6Xp3ne0NCQ/v37079/f0JCQli5ciUVKlSgffv2jBo1inr16uV5gbkZM2bg4uJCuXLlkg+0W4Ri/w8Ioga976bRuOEYbVu5Wk6EdwQPYx4iV8hRXFMQcCAgexlFkZfo/mQOCcWS4M9a0Hs7lG2ap9eU18jlciZOnMiZE9c5NboGBq+uIRS2Qei+PtO+HWw60MGmQ5bniouLY9CgQTx8+JDg4GAsLCxStSnYuTNxvkeIP3cOpUrFn4JAfEQE9vb2tGvXjgkTJqQoEXDybBDVHNqnMFYgpcGi1qgRSZk38XHlZx3/HfRLl8Zi6ZLk1GalMmW2kEyGoKeHxdIl6OdxTEmJEiXo3bs3K1asQCaTERUVxciRI1O0mTp16hepvabLEtKRCk9PzxQiWMWLF6djLrYZx40bh42NDaamppw4cUKbTvpqYV0KvL2BVCKgUIuEG1XDKP4hloaJaJRyRD0jZOMuQIHkH/87d+4waNAgpFIpHh4e2NjYpDunKIosX76cWbNmUahQIUqXLs3q1asz7JMecrmcokWLIpFIuHv3LkWKFMm0z6tXr9iwYQOrVq0if/78jB49mt69e+dJkO7169dp1qwZN2/epFChQtrj7u7uxMfHM3fu3FR9FCoF37t9T0hQCEc2HaF48eLZm3RTJwj3//Da3BZGBebwCj4/Dx48oEePHlhaWrJhw4YUBnZec+fOHbp06ULdunVZsWJFpnEbqtevEYyM+GfPHiZOnEiXLl0oVaoUq1evply5ckycOJGmTZvi7u6Ora0t1apVo2rVqloj5fLlywwYMIArV67wVv6WTrs7ER0XjbGJMZ1sOvFLvV8+27Xq+DxkJzZM8fAhLzduIubAATTx8UhMTMjfsSOFBw7Ic2Pla6ArfqgjW9SvXx+ZTIa+vr62mmtu+HiH5eOCggWEOKTvM1SkAiX04igqvEVQy5FKSD539xgajYalS5dSv359nJ2d8fPzy9TwEASBsWPHsmXLFt68eaMt6vbHH39kW8b/1KlT2gCzNMXv0qBQoUL8+OOP3L59m7lz57Jv3z5Kly7NxIkTuXPnTrbm/xRXV1d+/vnnFMYKJBtpaWkhqNVqRo8czc2jNwnYEZB9YwWAlEq/Gs23+xR/8OBB6tatS+/evdm9e/dnNVa8vb1p2LAhY8aMYd26dVkKMpUVLIjU0JA+ffpw7do14uPjWb9+PZPmrSLGcQLj/BIZNH8HZcqUISkpiZCQkFQCcu+NlwIGBagVWou6L+qypuUafq7782e5Th3fDvqlS1Ni+jQqXjhP5RthVLxwnhLTp/0njJXM0BksOlJhYWGBs7MzLVq0oGfPnrmKxbj/5j4XrS7ia+ZLfKF4IiMjefPmDYGBgcw/EY1cTPZKxitFft1/P1m04h0CAk/jJTRt2hRPT08CAwMZN25ctgSK2rRpQ0BAACEhIXTr1o0DYQeoOa4mmwI2ZXkMb29v2rVrx9SpU1mzZg0vX77Mcl+JREKbNm3w8vLKkyDdo0ePcufOHUaNGpXqnEajSfXeKBQK+vTpQ3h4OEePHqVgwYLZmk/LdzOQi3q8lUOSRsovJ5OzlL4lVCoVU6dOZeTIkezdu5eJEyfmuSvuPRqNBnd3d4YPH86+ffsYMWJEjuYqUqQImzdvZvmqv1h4IYmXCimivglXlMWJkCfvxr1Xin3Px5vioiiyd+dexrYbS3Xz6p/tenXo+BbQGSw60iRfvnxYWFjkyoWRoEzAxceFZ0bPiDaKZqzfWKo4VuGnn36ic+fOVB66mtiOf/BPoVKML1qEPbamuHglkagSUIsCV6T22HedQOfOnQkICMhx6nDlypUJCgrisuQyMY4xiHVE5t+eTx/3PlmSC/f29qZt27aUKVOGbt26sWjRohyt432Q7sOHD+nbty9z586lbNmy/Pbbb7x48SLT/mq1mh9//JF58+alqRj6qcGSkJBA586dkcvlHDx4MGMtm8ywcKCtTzHcwqyQjQvhoV55OnTo8M3IrT99+pQWLVoQEhLCxYsXadCgwWebKzY2lu7du3Po0CGCg4PzZC6HBk0wMP4QKKsWIVqRbMzLZLIUmXIfx7CEhIQgk8nSrUuk49+DLjoj8/dAZ7Do+Gw8jH2YXAzx3UOfgECUJIrjx49z4cIFWrdpQ/vza5mdT8K5giYUa1SM2M7NqbApH0Zz4+jz92POnDnLxIkTs6WBkRaFCxemSMsiiDIRBBD0Be7mu0uVKlU4evRouv3u3bvH27dvqV69OgA///wz2zesIvbSXniRs+rFhoaGuLi4cO7cOfbs2cOdO3coX748/fv3JzAwMN0v7caNGzEzM6NLly5pnv/YYImJicHJyYnChQvj6emZaz2MhIQETl+5i5F9B2RFrNm8eTMlS5akffv2X72atb+/Pw4ODjRr1gwfH5/Pmp1169Yt6tati7m5OX5+finUcnND0XwGlChgqBXx06hUKB5fQ6lUUq1aNcqWLatt+7HBsnPnTpydnXU7K/9yDA0Nefny5f+10SKKIi9fvszwt0qXJaTjs1EyX8kUX8CExAQqFq6IQXUDLl++zODBgzF3N0ciTb7JKkQF8cbxPHv2HCsra16/fs369etxc3PLEwGqYibFeBz3GI2oATUkRiXSo0cPhg4dStOmTVm4cGGqgFpvb2+cnJy0hoCVmYTQIVJk+4aDnhRaz4HaQ3O8plq1auHh4cH8+fPZuHEj/fv3Txmka2QE13ajiLzGgeV/sXCNV7o3J41GgyAIREdH4+TkRO3atVm+fHme1Pjw8/PD1NSUGjVqAMmp0Rs2bGDIkCG0b9+egwcPYpJHglVZRaPRMG/ePJYuXcrmzZtp1arVZ53Py8uLIUOG4O7uzrBhw/J0bIlEYNfIBiw6cpuomAR2uY9m/D9rWLBgAW5ubri6ujJq1CiMjY3RaDTo6+uj0WjYuXPnN1dHSEf2sbCw4PHjx1naaf0vY2homGaG3Xt0WUI6PisXIi8w8tBI4lXx2CTaMKH6BNq2bYsgCNjY2FDvt3pcfnsZuVqOqBDBG56ffk6XLl1wd3dnxIgR3Lp1i7///lt7s8wpj2MfM8R3CE/jn2KV34q++n1Z/vtyIiMjsba25urVqyxatIg+ffpojQInJyeGDBnyoVK0z2TEoDUI74JQRX0ThJ8jc7Wuj9FoNBw5coQVK1YQGBiI57CKNDG+C6oklKIEgwG7waZ5mn1/+eUXVCoVBw8epGPHjsydOzfPnrxHjx7Nzp07CQgIwNbWVntcrVYzbNgw7t69i7e3d+7cTtng1atXuLi48OrVK3bu3Jnhj1xu0Wg0zJ49m3Xr1uHp6Um9evU+21wAJ0+exNXVlaCgIACuXbvGjBkzCAwMZMqUKRQoUIDExET09PTYuHEjJ0+e1O2w6Pi/QOcS0vHZiIiI4Hv375FL5EiNpYSbhtPnjz7I5XKOTqrHVZcElj8Oo06iDQmXE3ix+QX+a/2JjY1FqVRStGhRdu3axdSpU2ndujWzZ8/OdobPx1iYWuDb3Zfz/c5zoMsBerbryalTp9i4cSP6+vqIooirqyutWrXiwYMHyW6Q06dp2bLlh0EESXI5gXfExsYzbdo0kpKScvNWafk4SPf8+fPU07+NRJ2ERAADiQYubEy376tXr1i3bh39+/fnt99+y7ObmCiKHDx4kNjY2A+6L++QSqWsW7dOK6wXGxubJ3NmxPnz56lVqxYVKlQgICDgsxorb9++pXPnzhw9ejT57/GZjRWAM2fO0KhRI+3rKlWqsHv3bg4dOsTTp0+Jj49HIpGgVqvp1auXzljR8X+DzmDRkXfcPQ4B8+GeH3v27KF27doY1DRIjhshOW6kaNOiuHWzpZ7kGkLCS/SfXWf63WPsH7KfZqWa4eHhQalSpbSZOIIg0LdvXy5evMiZM2do0KABN27cyNUyDaQGKV47Ojri7e2Nr68vDRo0IDAwEFtbW0aMGEE3x8oUODkdjkyD+JdQfwxxahlJoj6izJD98nosWLCA/Pnz07t3byIiInK1to+xtrbGqMgH0TClKNFq0nxKWFgYW7dupXHjxkyZMiXP1vB+bIVCgbW1dZrBvhKJhNWrV2NnZ0ebNm2IiYnJ0/nfI4oiK1eupF27dixYsIBFixZ91srRN27coE6dOlhaWnLixIkcpoNnn9OnT6cwWN5To0YNmjZtmqKQ4LdUoVmHjs+NzmDRkTeEbIJ/+iH6z0W+uRtnV45hw4YNGCQaIKqTDRZRJaJ8oaSA/AkyUQGARIBiRmqq2FZm2rRpLFy4kJIlSxIdHZ1ieAsLC3x8fBg8eDCNGzdm8eLFaDSaVMvIDTVq1GDXrl2EhITg5OTESa+t/Fn9JmLIJji3CtY1JyoBqqxRktBxHcKoQPov8iUmJobZs2fj6+uLjY0N9evX5/jx43kTQNd9IxgXQYPAlacqFA0mpmoSEhJC8+bNcXR0/CzZMYcOHcLe3j5DYSuJRMKqVauoVq0arVu35u3bt3m6hri4OPr06cPq1as5c+YM3bp1y9PxP2Xfvn00btyYyZMns2LFijQNtc+BRqPh7Nmz6f4d7ezsEAQBjUaDQqGgSpUqX2RdOnR8C+gMFh15gnhuFSgTEEQNBoKafuVj6dq1K2dnnEX5TAkaKKQqxNOtTzkaLhKveHczl+ojWDiARIqdnR1NmzYlISGBqKioVHMIgsCIESO02TXNmzcnPDw8z6+lYsWK7Nq1i67ViyCV/I+9846K4mrj8DO7NBERUUQBO2qMDcUuCBZQwRp77D0a1CRqjLEiwVgisSUGNWossRsLioq9ohgLChYUFAQRRGlStsz9/sCsIYKCwSRfss85czi7c9vMsDO/ufctCiQEyGrUyXGsnP8lHt37YunYFSxzPDcMDQ2ZMmUKiYmJrF27locPH+Lp6UmFChVYvnx5TsJHIfM06ykauZBLWuXrweS7MDWWNlskxk3OHcX01KlTdOzYEX9/f9577713sjxw4MABrKys3hiJU6FQ8N133+Ho6Ii7uzvJyclF0n9YWBiNGzemePHiBAcHv9PM2LIsM2PGDMaPH8/+/fsZNmzYO+srL8LCwrCyssLa2jrP/XZlStBBPkrTuwspnxxC48aN/9Lx6dHzd6IXLHr+FJmZmTlvvaH30L6Y8NDK8CQ7Z6p+9qTZhHVZVeIAACAASURBVE8J53jn41QLrkZ6YjpnYhWMPKREVG8PjkNgwE5dezNmzOD27dt5CpbfqFatGidOnKBTp040adKE1atXF7k74K1bt7j/h5UNWathkf8GTp06xZdffsnp06dz2dQolUoGDhxIdHQ0O3bsoGTJkkydOhUbexua+Tej7ba2uGx1ITypkBmPJQmFcXF8fX1Zs2YN6S8y/B44cIAePXqwefNmunbtmm+k2z9DcnIyly9fJjs7O5exbf5DlVi2bBnNmjXDzc0tV4qHt2Hjxo24uroyZcoUVq9e/U6XQJKTk+ncubMuwWeTJk3eWV/5kd9ykI5NvbCND6KB2RO6i0Cke8f+usHp0fM3oxcset6KpKQkfHx8qFKlCrePbaZBVSsUSiUyElcyJCYrLJi+fzqjJoxizZo11KpVi6CgIN5//32aNm3KyXhT7reYDx4LweRl6PQ6depQ772qDK6lIv3IAsh4mmf/SqWSSZMmceLECVasWEHnzp159OhRkR2fr68vgeGp3CrdAQxNwbQ0AcV60b5rb/z9/ZEkiQkTJmBlZUWvXr1Yu3atrn9JkujUqRM3btxg3759VB9WnQzDDDRCQ6oqlXEHxhU6wi3AuHHjsLCwYMSIEWzbto2hQ4eyd+9e2rZtC+Qd6fbPcujQIRx7OXLb9DalqhYsSq4kSSxevBgnJyfc3Nx4+jTva/g6srKyGD16ND4+Phw7dowhQ4YUuo03kp4AF1fBtS2EXb9G48aNqVatGkeOHMl3huNd81rBIssQcxGFyBHJCm023H191mk9ev5N6AWLnkIRGRmJl5cX9vb23L9/n+OHD+DncI/imbFIQkuCRjCqegU0LYqzM3Ynrde0ZvkPyzEyMmLAgAGcPXuWixcvUqdOnVx5hXRoVPzikcL8dkYUOzsfVrSErPyNOGvXrk1wcDCOjo44ODiwZcuWP3V8KpWKcePGsWvXLubNm0fDT7fAtEdkjQ9n3LIApk6dipOTE76+vly+fJnw8HA8PT0JDAykdu3aNGjQgC+//JIzZ86g1WpxdXWlebvmSAYvl2oeJT/C1taW+fPnF/ph/u2337Jt2zbGjx/P4cOHc+V5eheCZdWdVSQ7JyM7y8y+N5vbTwsWLE+SJPz8/HB1daVdu3aFSmcQGRlJixYtePbsGSEhIdStW/dth58/6YnwfTM4PB3N7nEkLXZh+rRpLF269J0a8r6JP3oI5UKhQC5px2+mW8/VcCX+7b3m9Oj5f0MvWPQUiJCQEHr37k2TJk0oUaIEYWFhTJkyhSunAsnKfBnp9GbJEhiZGoEStGhRmCpIkBJYsGAB8+bNw9zcnN69eyPLct6CJT4UC0UGpoYSSqEhKzWRXYsnsXnzZk6ePElERMQrkVUNDQ3x9vYmICAAb29v+vTpU6gH5G/ExMTQqlUroqKiUCgUjBjxMiDc+vXrcXBweCUEevny5RkyZAjbtm0jISGBZcuWIUkS48ePp2zZsvTu3RuraCuMFcYYKgwxUZrQ3Lg5pUuXxtvbGxsbGz744AOuXr1aoDEmJiaiUCioUaPGK2MpasEiyzLx5ePRSBoURgoytZlsu72twPUlSWLhwoW4ubnRtm3bVwyp82LPnj00a9aMIUOGsHXrVszNzf/MIeiQZZnHjx/z66+/smfPHo79MBnV8xTQZGEgVDhVMmRwt7ZF0tfbEhMTQ0ZGxmttdBbENeO+yhyKW5FcvSddZmxmxowZbzVjp0fP/xv6SLd6dAitlqcbNpIZGoqZsxMlunQhMDCQhQsXcv/+fQYPHkzr1q05d+4cTZo0QZIk3Nu2plu14mjVqSgVUE7A72+dGlnD6sWr8XTy1H03fPhwunbtikqlytW/Vqtlz8ETdFSr4MVLrkKCmKRMzl/dQ1xcHHFxccTGxmJkZISNjQ22trbY2NjotunTpxMQEEDt2rX54Ycf6NatW4GO/fDhwwwaNIivPhlEPStBOYNUXeRWrVbLggULWLt27WvbMDAwwMnJSTcD8+jRIw4ePEhgYCAxt2Io17gcDas2ZIjLEPyv+RMREcEPP/zAunXrCAgIwM7OjilTpjBs2LCXb/lCgFaNUOaIss2bN7N69WqGDRvG/fv3qVy5sq7/3yLdFhWXLl0CNbprYagwxMLYolBtSJLEvHnzUCgUtGnThqNHj+YZOl+tVjNt2jS2bt3K3r17CxXvRK1W8+jRI2JjY3n48KFu+/3nuLg4SpYsiZ2dHXZ2dnSqKuNU6uW50mo1KIz/mqB3+XH27FlatmyZ7zUMCQnh2/X7GH7jBlhZYQtc6viYvn374unpyaZNmyhduvRfO2g9ev5C9JFu/+NkqbXsvRpHtkZL42PbYfvPiKwstAYG+KtU7FNlU7VqVR48eEBaWhpt2rTRbdWqVUOSJC4c2k7yNi/cWzVFcv6M75+FsyJ0BQjwet+L0c1G5+pTCEGdOnWIiooiLS0NpVJJUFAQkydPxtTUlM+bG9DZ7DpKpQKajIIOX79SPyUlhdjYWJ2I+b2YiYuLIzIyksTERIyNjbG3t6dChQp5Cpxy5cqxevVqVq5cycFlE6l3ayGZ2WoMFBKGH/4MNdzZtm0bS5Ys4cyZM28tCDQaDefPnycwMJDAwEAePHhAu3bt8PDwwM3NjbCwMObOncuZM2cwMDCgS5cuLJ48EJtj4xBZKdxTl2VAoDF7DgRhbW1N9erVsba25syZM7o+xowZQ7169RgzZsxbjfGPzJo1iygRxeUKlzEyNqJSyUqs77ieEkYlCt2WEIIZM2ZwdP8vHJ3qjGlmLNT/EBz6ERcXR58+fShevDgbN27MlR4hMzNTJzzyEyRPnjzByspKJ0bs7OywtbXN9dnGxiZ3egdZC9sGQcRhtLLM+P3pJFfvyaZNm4ri1L0VXl5eVKlShYkTJ76yT61W06hRIyZNmsTAgQNz7fstS/WOHTvYuXMnDRs2/KuGrEfPX4pesPyH0cqC7t+dJSIhHVkIij9P4YcjCyihzgTgcnY2Oxzq07p1a9q0aaOLAfFH+g0YTLH3XWnh7EITawXDPuxJjZo1WL1qdb7ZnpcuXcq0adPYsGED/v7+3L17l3nz5vHBBx8wf/580p4l4uszB4zePj9NSkoKXl5eHDt2DC8vL8qUKZNL3Dx48IDbt2+jUqmwtrbmeF+ZWhbZLxsoXx8x6iSOjo54e3vTuXPntx7LH/n97EtQUBBVqlShY8eOuLi4EBwczMY1/lz5MI3iRjnnO1sLcotPKNbRG8gxzmzVqhXXrl3T2XiMHj2ahg0bMnr06Hz7LQyNGzemXbt2hFwJYePOjZQ1LYtCevslJyEE92fXxlaOxUgJQmnC0VIf0mfWelq1aoWDgwNxcXG5BElaWhq2travCJDffy5XrlyuYGqF4vkTMDDmyOkLdOzYkTZt2hAYGFjktkAFwcHBAX9/f5o2bfrKvrlz53Lq1CkCAwPzFc07duxgzJgxLFiwgKFDh77r4erR85ejXxL6D3Pl3iNuPUpGJefcAIXCkEtW1WkdF4owNKR1n9709/Z+bRsJiU84bdyI4hnlOHXgJurMNIZ80IfZUye9djbCvUV97Dxkqh4exJTWnWixJ0wXnEsIgaww+lNiBaBkyZJs2LCBAwcOMGrUKEb3dmdGlesolA94Vr8BzRalMH78eLy9vXn69CnmO/sgnt1AAmQheJqSweWgIFQqFZ6enm/srzCUL1+eoUOHMnTo0FyzL1OmTOHBgwfsHGSNqVG6rryxElC9tAFxcnKibt26DBw4UGf/UpQ2LPHx8dy9exdJkpg+fTrliv/5KK+SJFFZeoT0IvG2pM0i+ZQ/lSq9h7m5OSqVCgcHBzp16qQTJGXKlHm34qF4zmxOu3btOHv2LM7OzjRt2pRz5879pca3KSkp3L17N898Wbdv38bPz49ff/31tb+pnj17Urt2bbp3705wcDBLly7F2Ng43/J69Py/oRcs/zIyMjKIjY3FzMyM8uXL59qXnJzM6dOnOXHiBCdOnOBOTAKWg5YiGeQIBYVJMazsyiE9i6B4I0esJ3/+xv6Wrt2CUemKZGtyXBeMTc1o0PHDfG+saWlpLFy4kF5JS+hcwwBDJaA+DncD4f2uQNHbYnh4eBAaGkrKgvqIxFRQQLG4YPZ85sl7Hy8EyJkJ6r0C1nkiEGRmZNJhaSiPxFB8fX3f6UPTwMAAZ2dnnJ2dmTt3LnFxcRRb2xpJ/bKMLARdZ2wh8ssT2NnZYW9vT+fOnZk7dy5rflqDR0cPtFotCoWCa4nXWHZ5GQpJwaeOn1Kr9OsDvul4ngQKBRQrRWBgIA0bNiQyMvJPibXMzEwSExNJSEjgxo0bfKiVMXohWISALk516bntwlu3X5Q0adKEq1ev0qhRI+rUqcPly5f/sgzUwcHBNG7c+JWIurIsM3LkSGbMmEGlSpXe2E6tWrW4ePEiw4YNw9nZmZ07d1KhQoU31tOj5/8BvWD5F5GamsquXbt0IeurV6/O06dPuXr1KjExMRw9epTq1atjY2ODJEmYG8q0MH9KSFZ5JAk869vQ86vFBRYLQgi2bliD3HGW7jsDAwNKFX81jLlGo+HHH39k9uzZtGvXljrVpJwIsgDqDHhwTidY3kUANEtLSywtFPAiR6GJAbxn+YfV0PL14LNwpGf3KW5RiQbxE/l19WoWLVqEi4sLVapUKdIx5YeNjQ006ol8cTUKbRZqLUSaNqBup5YY3LxJVFQUV65c4dmzZ5QbUA4/rR9++/yIi4pj1+FdVJArgBEgICQ2hBFiBFXLV6V8+fLY2Ni8OmshBOwdB6Fbcz47fcqBA1fIzMzk448/RqlUvigmSE9PJzExscCbRqOhTJkyGBgYEBMTQ5vxplQs+aJvCYzKvruotW9DrVq1uHnzJvXq1aNGjRpcvXo1TyPhoia/+CurVq1CpVLh5eVV4LbMzc3Zvn0733zzDU2aNGHjxo26WD169Pw/oxcs/yJu3ryZy/Pm+vXrJCYmYm1tTfny5XU3r19//ZVJkybRr18/jIyMSM/WoNHKWJgWLl/K0qVLuX/rOh3c7nDTpDYAnerZ0Kr6S6PJ3zL9TpkyhXLlyhEQEICjoyPiu2ZoHt/EQJETT+Jesin1XtQp6hkWHbW6wPXtoMnkuUoQeEdJzz+WMS4B5XJsQp48ecKAAQPYs2cPDRs2ZMWKFfTt27fox5UX7byJjI4j82YQIYkm2A+fzVzX1rmKnIs9x7ij41C9yMtkM8AGcVAgZIGEBBKoslTMWTWHrLtZaLVaVCoVGo0GU1NTzMzMKFmyJK2rGvNtoxiKKXOErvrkIsJOP+fuUxkTExN+/vlnnQBRKpVYWVm9spUtW5b333//le9VKhVjx47lxIkT2NracqGMO2UytqE0KoaxkRG0mf7XnM9CULFiRe7cuUPdunWp27Eu1T+rznPtc7rad2VGsxl/yo4nTzQqLp07yYTJX+b6OjY2lunTp3P8+HGdaCwokiQxefJkHB0d6d+/P5988gmff/65PrOznv9r9ILlX4SBgQEKhUI3w2JiYpJrWUiWZby8vOjVq1euG5eZceH+DdRqNd7e3ixatIjhw4fzg99ksjVaNFpB8d+1denSJSZNmkRiYiILFy7Ew8ND1+8e8yGUueFNyzoVeGTeArdPvuOrdBtGjhz5TmZYAOj0LVjVhMdh7LuWziDfrVxVV8bHx+eVG/nNmzc5f/48kZGR9O7dm8GDBzNp0iQOHz7MsmXL3v1SgdKAw+rGhGYYkyanYRAdQ6s/FHmW/QwDpQEqTY5gUaLkg04fEKAMIEubM5VkWtyUX9b8gjJLSXp6Ounp6Tx79oy4uDji4+NJSEjASo5AKwt48UxUa2WsShhT9r0GTJ48OZcAyc+IOi+OHj3K4MGDsbW1xdLSEj8/P/r37085U4krRzdBhYZgalkUZ6vIKVu2LGE3w3Dd7kqyOicn0v7I/TSyboRn1SK0Z7qyCRHwCXtbZiNStoLsDgoFQgjGjh3L2LFj/1SCwzZt2nDx4kV69uzJhQsXWLduHebGCsh8CuZ2OUuAevT8n6AXLP8i6tSpQ0REBBkZGQghcHZ25tSpU7qgUkZGRtSvX/9PvWXdu3eP/v37U7x4cYyMjPj66xyXY2MDJb9plfv37zNt2jSOHz+Ot7c3Q4cOzeXFoVarmTxnEStWbEBq1w574HTTsXh6ehIREYGJiUmh3ygLhNIAWuRMrfftDscfmbJ48WJSUlJYsmRJLpE0f/58xo0bh6mpKZ07d2b37t306NGDqKgoHB0d2bx5c54GkkXJvXv3qFq1KqmpqXkmeWxu0xwjpREqrQqtSkUFjZphT/bTuvMkFt35GYWkYGqTqTQp/4acONnpsKI5PE9Eo5G5nZjJ5TgtZ3cupV69eq+vm1dz2dlMmzaNzZs306xZM+7du8eePXto37497du3x8LCAuOa7Qrd7l9NsRLFMChmgFbk/H6yNdnEpccVXQeZyRDwKZJWhaFCQtw7BHcC4T1PduzYQUREBNu2FTxQX35UqFCBU6dO8cknnzCxSz3822agkCSwrALDDuVKjaFHzz8ZvWD5F2FsbEzv3r1JTk6mWLFiFCtWDENDQ44dO4ZWq8XW1rZQmW6FENy9e5fHjx9jY2PD2bNn+eyzz5g+fToqlQo7OztKlXqZX+bZs2c5RqBr1jBu3Dj8/f0xM3s1GNfatWupWLEi7dq9fGjVqFGD4OBgunfvTkJCAj17vrJYU+R8//33PHz4kK1bt/Ls2TPWrl2LoaEh0dHR7N27l3v37unKtmrViqCgIDw8PPDw8MDd3Z3p06czfvz4dzbNHhkZSfPmzUlJSeH06dOv7Lc0sWRH5x0EXPHH4MIqeqWnYSLiqbB/Gq0+uwnKAnq5GJvB6NMQvhsDhSFdPT4hS5XMmTNnCi1Yrl+/Tv/+/bG3t8fd3Z3w8HCOHj3KoEGD6N69O7t37y6Sh/BfQXHD4tQtU5fwpHBUsgpNtoZyGX/eW0pHdiralxNbZGY859Cm1ZRxN2fChAns2LGjyLx8jI2NWbFiBdlzyuXkIAJE0j2k899B6y/fUFuPnn8G+vnAfxkKhQJLS0tdVtvKlSszZMgQhg4dSvv27Qu11HL16lVOnz5NeHg4hw4dIiAggCNHjjB+/HhWrVqli/ehUqlYvHgxNWvWJCUlhRs3bjB79uw8xUpmZiZz5szRzcz8ntKlSxMUFIShoSHr1q0r0mSGeaFUKtm2bRsVKlTg4sWLdO/enYyMDPz8/Bg+fHguMQY5cTJOnTrFsWPH6DuqL2tj19J8TnMuRl58J+OLjIykatWqVKlSJc8ZFgDr4tYMNyzHoMxsTIVAgSArNYm50z5h48aNXLt2jezs7Dzr5qKYBTgOIcqiBfFJKfj5+bF06VImTZqkW2J8HbIss+DbBbj1dGPchHGYm5tz7949goKCWLFiBampqXTs2JESJUrg6OhY2FPxt+Hv5s/IeiPpYd8Do1+M6N26Nzdu3CiSttf9coSQmEwyNRJCYYBRMTOuZ9vQsWNHMjMzOXz4MDdv3iySvn7DiJe5h4RGxamgfYSHFzJ7uB49fxP6wHF68mXr1q2kpKToPltaWtKzdQMunwpk9OzvuXDlBjt27GDq1Km89957LFiwgNq1a7+2zYULF3L+/Hl27dqVb5mpU6dy8eJF7t69S0BAwLtJfvc74uPjadasGXZ2dqjVam7fvk14eHiOt04e3Iu+R7eAbvDCnENkC+ZUmcMH7h8U2ZiEEJibmxMTE8PTp09p3bo1Dx48yLtwTAjatZ4o5WxkWaA2NGcRI7l2I5zr168TFRVF1apVc4xI69alTp061K1bl8qVK78UsOpMCPiE5Cv7OBGRhufK+6SpJbp3707ZsmVZv369TgT/kYcPH9Lvi34kuyZjbGyMnCZTKrAUe7fs5dy5cwwePJhLly7x+eef07hxYyZMmFBk5+mvRK1W07JlS0JDQ/n111/f+L+eH9nZ2UyYMIE9e/ZgZmLA1XWfU1yphbo9ORJyi+HDh7NmzRoCAgLYtm0bpUuXpnfv3vTp06dQM6R/5NmzZ+yf0ICelVORACFJ/KDpycJ1AVSoUIHhw4fTp0+fIsvfpEdPUaMXLHry5cCBA8TGxuqMYJ2MbvJe9EYysjWoJSP6nbQjPk3LN998Q5s2bd7YXnJyMjVq1ODEiRO8//77+ZabOnUq5ubmVKpUiQkTJrBhwwY6dOhQlIf2Cjdu3KBNmzaUKVOGx48fc+PGjVfi2PxGaGIoIw+PJEOTAYCRMCJpUxL9GvVjzpw5fzrgmJydTezGTcydOZOlVy5DqVKYmZmRnp6eb9tTPKsxvEYK8SnZBJfuzecLf9Tty87O5tatW1y/fj3XlpycTO3atalbty4fV31AXfVllLIatSxhWLcb9FpHdnY2Q4cO5f79++zZs+cVF9/t27fj5eVFxbkVyTJ44TOuhT7v9WFwhcE0adKEzZs34+DgQOXKlbl3797/db4brVaLk5MTYaFXiFjnhbVIhNrdoXbBclZFR0fTs2dPzMzMCA0N5cSJEzqj2oyMDOrWrcuyZcvw8PAAcmauzp49y9atW9mxYwc2Njb06dOH3r17F8rNPiEhAXd3d9q0ac2ijzoSf+siXScu5WToAwwNDTl06BBr1qzh6NGjdO3aleHDh+Ps7Kz3KtLzj0K/JKQnX1xcXChVqhSSJFHa0pKaDzaAJgtTpQZTkcG87lW5dOlSgcQKwDfffIOnp+drxQq8dGv+8MMP2b17N0OGDOH7778vikPKlzp16rB69Wpu3bpFly5dcHJyymXD8nvKFy+PLF4uk2Sps3Cq48SlS5dwcnIiMjLyrcchZJnoQYNJW7KEMSVKENW1K1JqKuXLlyc6OjrPOmFhYfgdjias1SpOV/uC6Us2kJmZqdtvbGxM/fr1GTBgAPPnz+fAgQPExMQQHR3NwoULadCgARbpESjlnEh1hgoBcVd0dTdu3Ejr1q1p0aIFERER3I5P43T4QwYOHsL06dPZsmULWsXvUl4qIV2dTq9evfjkk09wdXVl8+bNuLu7/1+LFchZRjx79iy7BpalxNWVEL4bdn8EYbvfWPfIkSM0adKEDh06cO/ePVauXJnLA2jmzJk0a9ZMJ1YgZ4nX2dmZ5cuXExsby6JFi4iKiqJJkyY0bdoUPz8/YmJiXttvbGwsLi4udOnShUWL/JBquFO+y3TK1WrGunXrMDAwwNPTk507d3Lnzh3q16/PmDFjqFGjBnPnziU2NlbXltBqyY6MRFOAzNt69BQ5Qo+egiDLQj2zlBCzzIWYZS7k2aWEOOJd4Orx8fHC0tJS3L9//41lJ0+eLObPn6/7fPfuXVGzZk3xySefCI1G81bDLwh+fn7C0dFR2Ne3Fz2/7ymqj68ufjn3S55ljz44Kly3ugqnzU7ix5AfxZgxY4SVlZXo2rWrKF26tPj555/fagzZDx6Im/UdRHjN90R4zffETYcG4tnOXcLV1VUEBQXlWcfT01OYmZkJtVotZFkWFhYWYtCgQYXr+JivkH2sc66vT1kh9n36SpGVK1cKW89xotoXe0Wlz3aI2hM3ihmz5wgrKyvhNt1NOK53FI02NBKNNzYWgz8fLLp27SrUGrWITokWDZs3FAcPHnybU/KPRPa10f0WxCxzIbYNzresVqsVvr6+onz58uLQoUPCyclJzJgxI1eZkJAQYW1tLRISEgrUv0qlEocOHRLDhg0TlpaWokWLFmLJkiUiNjZWCK1WiBPzhfiumUhb11s4vFdZzJs375U2zpw5I6pUqSLUavWrxyfLIjg4WIwaNUqUKlVKeHh4iJ2bN4u7H3wgbjo0EDfr1hNJGzcWaKx69BQV+iUhPW8kKSmJtm3b0q74Lb52M8PQ2AQMjHM8S8zztvP4I+PGjUOpVLJ48eLXF8x4yq45Ayhe0oL2E1eDUY6hyLNnz+jRowclSpRg06ZNeRr0vjVxV9DcP0+vcT5MXbkHr8teZCozQQlytswc+zn0aNPjjc2Eh4czefJkrl+/jkajoX379ixbtqxQY9U8e8ZdF1fEiwCAkqkptou+Yfz69bRs2ZIRI0bkKn/nzh0cHBwYNmwYy5cvB+DHH39k9OjRJCQkYGlZwDgnspaUgJncPvA9TXqMh9bTwCB3IMFHT9NpMf8Y4kUyIKHOwj75EssnDcoJCf/oItFp0Ty+9JhvZ37LyfMn8TrnRXRKNNmqbBa1WUT7qu0LfC7+0axoiUgIRxIyGWrBzTIeOH665ZViycnJDB48mMTERLZv346vry8PHz5k9+7dOvuh3zIxT548mQEDBhR6KCqViqCgILZu3cq+ffuY1dGGj2s8xhA1Ki08NqlGhWmXX6mXqcmkxbwWyBVk7ErYsbztcqqUfHWZ6fnz5zmzL8uX80FKKsV+WyYyMKDmr5dQ6PMV6fmL0AsWPa9l3759OkO806dPU91cDalxYNcox7OkAERFRdGoUSNu3rxJ2bJl8y+YlQrfN0WV8hgkBUbW78GoEznxU8i5MX/00UdcvXqVffv2YWtr++cP8PZB2DEEjVqNRiuT4OlDz3vrydTkLKkYYsiTbU/47qPvCpytOSgoiE8//ZQnT55gbGzML7/8QsOGDQs8pGdbtvDQew5KSaJkp07YzJ+Hj48P2dnZ+Pr65io7dOhQdu/ezbFjx3LFhbGxsaFhw4YEBAQUuN+rV68yaNAgQkNDX9l369Yt+g4ZRbLzRN31MEDLvF4N6elopysXHh6Oi4sLR44c4aJ0kRXXVqB+sdRUzKAYFz688O+wi3gaBVsHIJ7d52i0kg+3p9K5Ww+WL1+uM04ODQ2lR48edOjQgUWLFvHTTz/h5+fHhQsXchm2fv3115w8efK1mZgLSlZWFk9XeGKTckn3XZpKosPJ2lhZWVGmTBnd35tlbhIihyArZCQk7C3s2dU1f2P4pHXrXjQ3OQAAIABJREFUSFjkB+qc66kBLn8ygR4DBhTtC4QePfmgt2HRkyfZ2dm62Blubm5ER0fneChYvw/V2xVYrADMnj0bLy+v14sVgKhTiKxUjCQtRqjhWSQ8fulCamRkxI8//kivXr1o1qyZLkvxn+KMH6gzMUCDiVKm9MUf+b2GV6lUDOw0kJEjR7J+/foCNenm5sa1a9f46quvSE1NpUWLFnjPnIY4Mgd+6gLnlsFrXIVL9e3LIIWEavUqbBfMR5KkPF2b79+/z86dOylfvjwODg659v3www8cOHAgf8+iPHj69GmOjYlWA7f2w/UdiOw0li1bRqNGjYi+c4NSKXcwVkoUM5TQpD7h9tGXswppaWn06NGDhQsXUr9+fZIzklFrX2ZwVGlVCP4l70eWVWDMWaQvY2my4AZW5Wy5evUqzZo1486dO7r8PUNmDsF2oC2Ljixi2vRp7NmzJ5dYuX37NosWLcLf379IhJyJiQk2zXuBYc7MpFqWuJqooFu3bgwePJimTZtSokQJYmNjufX4FrIi5/9QIIh/Hv/atkt6eqI0M0MyNUUqVoznjRuxKzCQihUrMnr0aEJCQtC//+p5l+gDx+l5hRs3buDh4cHjx4/57rvvdPFW3ratgwcPEhER8cayGiNztFlZGP8mo2XtK1E4JUli6tSpVKtWDTc3N9auXUunTp3eenwUK4VWSCilnEdp8WKWLG3zFdPPTidTnUmrEq1YN24dnTt3Ztq0aTx58oTPPvvsjc0qlUpGjBhBnz59mDp1KjZXvyVLNqSYAfAwBIQMLfN279VoNNyKjKTm72ZM8hIsCxYsoGrVqnz44avZsbt06UK1atXwGdOd1X4+ULH5G8PgJyUlUdqyFGzsAQ9DkIXgYbKKWT+k06BBExYtWkTjxo25EpNMepYGW6NMOnt0IP1ZEr6+vowYMQJnZ2eGDBlCREQEm6ZuQtFfgZGJEZIk0bN6z6LPw/MPwNzcnMDAQJo1a0bnzp2pX78+FhYW+P3ix9L7S8m6mYVQCTov7UyNGjV09WRZZtSoUQXOxFxgmozKCb0fvgfDsrXQNOvCD+Ny8gotWbJE5/12LPoYU05NIUubhYnSBLdKbq9t1sDKiqoH9vP89GmUpSyp6dSSPZJEXFwc69ato2/fvpiZmTFixAgGDBhATEwM169fx9jYGFdXV8qUKfPa9vXoeRP6JSE9OmRZZtGiRcycORMLCwuCgoL+VB4TgG7duuHs7MzEiRNfWy49PZ2+ffswxu42HcolodVqSaozkvJ9FuVbJzg4mA8++IAvvviC8ePHv9X4TvzyE++dG4+5EUiGJhQbcwysc8fXSExMZOjQocTExJCWlkbfvn3x9fUt1Buxan51jDITdJ8vPFLQY39xFArFK5tarSY2Npbq1avrvtNoNDp7FUmS0Gg0XLt2DUmScHR0pFixYrqykiShUCjoZXWXfhUTQaFEI5R8dqcJyXIx3f4/bhEREVhoEtjd8RnGL7x+0lXwoMEUavfKOxrqkydP6NixI0ZGRmRlZXH27Fl2797NuHHjmDNnDt0GduP8o/NYm1rTwqbFv2M5KB8CAgLo3r079erV4+nTp1T2qsyTMi+9aYobFif4w2B4HAa39nPi8h2+3Hqd02fPvZtUFL8jIyMDHx8fVq9ejY+PD6NGjUKhUHD64WmOxRyjukV1+tTsg1Lx9uOQZZkTJ06watUqIiIiGD58uO64jI2NGThw4LvJEabnP4NesPyHyVBnkJKdgnVxa+Ji4+jTpw/Xrl3D2dmZbdu2UaJEiT/VfnBwML169eLOnTv5Bh2DnMBtnp6e1K9fH39/fw7t2cosbx8cm7uwcuXK1/YRFRWFp6cnbdu25dtvv82Vs+hNxMfH06BBAzp7dEBOfURipsSegMA8ywohWL58Od7e3pQoUYJ27drxww8/vPFBo1KpWLVqFdVDptO6osBQIRBKY57X6k1ysy+QZTnX9vz5c86ePcuvv/7KJ598AuQ8CDQaDS1atODIkSNIBhIzDs7gmckzpPsS3374LQhytSNkLW4X+qN4kQdHRsEt6y7cLNslZ78Qr/S9d+9ezDRPWe1wDYMXEVGfq+GK/QRaDvHOV2wEBQXh6emJm5sblSpV4t69e8yePZvmzZsX+Fr8v3P8+HH69+9P69atOXHiBFOmTGHRhUWYuZqhMMp5SFc2r8y+Zr6wpj1CnUWGWkZd1Q2L4Tv+snFev36d0aNHI0kS/v7+f/qFJD+Cg4N1ghpyZhz79etXqOSZevT8Eb1g+Y9y5MERvjj9BQCl5FL8OvlXVM9VeHt789lnn/3pN2EhBG3atKF///6veLb8nvDwcDw9PRk2bBjTp09HkiTOnz+Pl5cXkZGRREVFYWHxenuZ5ORkevXqhaGhIVu3bi2Q0JJlmY4dO9K0aVPCwsJwd3dnypQpJCUlvVaEhIaG6vI1NW3alG3btuWZ70WWZTZv3syMGTOoWbMm82dPod6dpRB/Haq6QJdlYJhbxKWlpbFjxw5UKhVCCOzs7PD09NRdixo1arBnzx5+evQT++7tQ2GkwAADPm74MSPqjvjjAMDXGrQ53kayZICi9ZfQKv+ZrkmTJlG2bFk+b/AcgleApCCxxPu0X5tEseJmLFq0iGbNmuWqk5CQgKOjI59//jnff/89Y8eO1WWydnV1pWrVqvlfhH8BQgi++eYbnVHtb0uG6enprFi9gk3PNxGrjKWksiSrOqzCInAR5aN2oPt1SQqYkfSXZk2WZRl/f39mzpzJqFGjmD59+mtfKN6GxMRE9u3bh0ajQZIkzMzM6Nu37796hk3Pu0c/P/cfRAjBl2e+JFubTbY2m0eqR5i3MufgwYNMnDixSG4qQUFBxMXFMWTIkHzLnDhxgtatW+Pt7c2MGTN0/VpbW5OUlESHDh1Yt27dG/uysLDgwIED2NnZ4eTk9MZAWgB+fn6kp6czc+ZMLl++TOvWrbGxsXmjIW+9evW4fPkyXbp04ciRI7Rs2ZK0tDTQqkGrRgjB/v37adCgAcuXL2fNmjUEBgZSr6krDNwFkyOgx+pXxArAgwcP0Gq1uiWb+Ph4srKydPt/s2M5GnlU99auQcPJmJOvDlShgA7zwMCENBU8ei5B42GvPTad0a2bN4y/DGPOYjX+KCG/XmbkyJH07NmTvn376mxptFot/fr1o2HDhsyZM4cJEyZgZGSERqNBo9EQHBz8hqvw/01qaio9e/Zk69atfPrpp4wdOxZ/f3/Wr19Pnz592Lx+M+PKjaPx6cZcHn2ZRg268+MNDVnid9GKjUv8pWIFcoLRjRkzhmvXrhEREUG9evU4evRokfZhZWWFu7s7dnZ2VKtWja5du+rFip4/jd7o9j+ILGSytS8T4kkGEiPHjcTJyalo2pdlvvzyS7766qt8l2g2bdrEp59+yubNm2nbtm2ufdbW1jx+/JixY8cyfPhwxo8f/8a1b0NDQ/z9/fnmm29o3rw5Bzcuo07meTA0gxZeuQxOL126xIIFCwgJCSEtLY2kpCTs7e1xcXHh5MmTb0zOZ2pqysqVK2nfvj0DBw5kSe+qTGsmAzJr7lrhd9mQuXPn0qVLl0LdpE1MTFAoFLpkg5Ik5QrFX7lyZcLDw3kW/4xi7xcDJRgrjalbJp9cS42HQ3U3dn63kMnf/MR2j2u4urrm239SUtLLuC0lX7oqK5VKhgwZQq9evVi8aCGnJzfA6n1jErUlSIlOJ1ZpwdGjR4mPj+f+/fu6ev+6B1TG0xz7E8uqhD1Mplu3bpQtW5b4+HiOHz/O/PnzUavV7N27l0uXLhEeHk5YWDgegz7G+/tN+IfJbFAa4CrfpbkiHK3SGOM+G/+2w7GxsWHbtm0EBAQwbNgwXFxc6P/pLPzPx6NUSEzzfB+HCgX3BvwjdnZ22NnZvbmgHj0FRL8k9B8kIiICDz8PjBoYYWBoQDGjYmzptIXKJSsXSfvbt29n3rx5hISEvCI0hBB8/fXX+Pv7s3///nzX0EuUKEFMTAwuLi4sXLgQd3f3AvcfuGU1TqETMTMCSWEIFhXg44ugNCQtLY2GDRsyd+5cnD2c8T/iz4FdBzi39hzbt21ny5Yt7N795jDrv/Ho+ikstnbO8f4BNJIh0ogjKG0dXl8xD2RZ5tixY0RFRaFQKHB1daVatWq6/fPmzWPfvn1IxSRSW6ZiVduKpuWbMqvFLIyV+QfvunfvHg0bNsTe3j7Pa/Ibzs7O+Pr60qpVq/wHefpb5BPzUGiz0MiCO6nGlJt5G0tLS549e8aePXsQQiCEwM3NjQoVKhT6PPwjeRwOa3KC3mlUmfTansWRBxLVqlXD2tqamzdvkp2dTcuWLXFycsLJyYmKlSrR4vOfUNrUwsDAgEz1S1d2Y5GJRzUzvh31bnNkFZT09HQmz5rLARohGeb8LxU3UnLq89aUNtMHhtPzz0A/w/If48KFC7i7uyPLMtPaTKNqvaq0tG2JrVkRBGEjxyV3+vTpLFu27JUHo0ajYezYsYSEhHD+/Pl8syFDzixLQkICH3/8Md99912hBEvH94qjjTBB0maBrEabEofyaSRY1cTLywsXFxecOjrxwd4PyMjOQLgIJp2cxORWk/n444+RZblA3gxRUVGs+OpLplcVFDPImU3QyBJyUjSmbyFYFAoF7dq1Q6PR6Dx3fk+5cuUICQnB3NycQ/MPvXEm6DeqVatG5cqVycrKYuPGjQwaNCjPcrlmWPIgJSWFp+d3U0Wbs0xloJCoXEKDQ7NmzJ8/n27dutGvXz+ePn2Kubm5zpblX8ExH0R2GhICA2BhG4l2e0vj6OioEyj29va5ZpVCHyZjVKEOWRqBWi2/WH8XyEhkaRQc2rCMm86VqFWr1t90UC8xMzOj54gJnPz5VzLUOe+wQsjcTUjXCxY9/xj0Niz/IXbu3ImLiwuWlpZcvnyZL3p9Qe+avYtMrACsW7cOGxsb3NzcEEKw+nQk7b89xdA1wXTs3oeYmBhOnTr1WrECOQ/n+Ph4+vfvz5kzZwoVAA2LCojfBWbLzsrEuWMPRo0axfnz51myZAmHHxwmS5OFVtIiK2VOxJzAvIw5lpaW3Lhx4zWNw6NHj+jcOSemxrqgUGTjkgiFEUJhSIZWQb1Oo1i5ciUajabgY/4dBgYGeQqmS5cuIUkSgwYNKrBY+Y2ePXtSu3Ztpk2bRkZGRp5lnj59+opgyc7O5pdffqFXr15UrFiRXTdVaKSckP3ZWonr6aVZuHAhs2bNwtXVldDQUMqXL/+vEitPnjzh5s3wXEHRqlSuxP379/nxxx8ZOnQo1atXz3MJ7PfXUYmMSdId6pRUUy5iD+6O1WnVqhVz5sxB9SIVw99JDesSiN89Ep5nZLL+u4Wkpqb+jaPSo+clesHyb0bW5qy7C4Gvry99+/aldevWhIWF5UStLWKysrLw9vbm66+/RpIk9oU+YtHhO9x+nMbxWwnE1/yAffv2FciL5zc7luLFizNw4ED8/f0LPI5I2YZvL2qRFUYIY3MCi33AtTvRrF27lsePH/PFF1+QmpiKUnrpDSSEwEhppLNjyYvf3K/t7Oy4cOECS5Ys4WH8Eyw+v4bUdjpS62lYTg1jy64ANm3ahIODAwcPHizwuF9HRkYGGzZsQK1WM2fOnELX/+CDDwgODqZ58+b4+fm9sl8IoRMssixz/PhxRowYgY2NDUuXLsXd3Z379+8zce15DLouAXs3lC3GsvJpU7766isOHDjAwIED6dq1K/379y+cwPyHkpCQwJQpU6hZsyY7n76XEz3W2BwMiqH0mP/G+nVtS9KiWmlMjZSYGEhkP7pNzNbZ7PysI6Zp0XTp0oXLly8TEhJCw4YNOX/+/F9wVPlTwdKUVYMaUdvGnHp2JVk9wIHMZwnUqlWLzZs366PY6vn7+UtSLOr564m5JMTXFYTsXVo8+MJGlDZVCG9vbyHLctH3FR8mxKY+4p6Po/i0bxvd19N/uS4qTQnQbVW+CChwk2PHjhXLli0TQghx+/ZtUbZsWZGVlfXGetnZ2aJRo0Zi8eLFub6rVauWKFOmjOjTp4/44osvhE0FG1Hft76ov66+cPjJQdh3thezZ88WP61bJ0b08RQiK1VX/8GDB8LNzU1IkiTs7OzEzz///MbzKMuy2L17t6hevbpwd3cXoaGhBT72vFiwYIEwNTUVJiYmIiUlpdD1ZVkWNWvWFL/88osoXbq0ePToUa79KSkpwsTEREycOFHY2toKBwcHsXDhQhETE/PGdn18fETFihXFtWvXRFpampg5c6awtLQUU6ZMEcnJyYUe699NXFyc+Oyzz0SpUqXExx9/LKKjo3N2pMYLceewEEmRBW5Lq5XFrw+eipCoJDFs+HBRtmxZMWbMGOHq6iqOHDkihMg5h1u3bhXlypUTXl5eIjU1VaSkpIjIyMh/xPk7e/asqF+/vnB1dRVhYWF/93D0/IfRC5Z/K4vr56S9n2UusqaVEFHf9343/TxPEmKunZBnlRTameZC42MtRGrOw3DJL2dExc92ikpTAkS1qftFx8WnCtTkxUcXRaPVjUT9NfXFgosLhCzLws3NTWzYsOGNdT/99FPRpUuXXIJiypQpwtPTU6SmpoqhQ4eK6tWri+DgYLFz507Rrms7YWVjJUaPHi0a1KsjQidWEpnTzIU8p4yI3jtPODs7C0mSROXKlcXevXsLfXpUKpVYunSpKFu2rBgxYsQrQqEgZGVlCTMzM+Hm5iZq164trl69Wug2hBBi6tSpYsqUKWLixIli5MiRQggh7t27J3x8fES1atWEUqkU06ZNe6uH0ubNm4WVlZXYv3+/EEKIhw8fiqFDhwpra2vx3XffCZVK9VZj/iuJiYkR48aNE6VKlRITJkwQDx8+LLK2nz9/LiwtLcX169dF27ZthZWVlQgIyC3gk5KSxNChQ4Wzs7NYuXKlWLNmjfjxxx9fCqa/EbVaLZYtWybKlCkjJk2aJFJTU0VMTIy4evWqiI+P/7uHp+c/gn5J6F9IWFgYz5NidZ+NDSQqlzZ5N50lhOcEh0KgkEAICR6FcvLkSb4a1Z1u1ZTUsDaj9XtlWTes8RubU2vVeB31IssgC61Cy/Y72zkWc4yxY8fy3Xffvbbu3r172bVrF2vXrtXZExw5coQNGzawdu1aSpQowZo1a/Dx8aFz587cvXuXQ7sOEXw6mFKlSuFcMo6qxs8wMQBJq8Lqgi/xDx+wf/9+oqKiCpyt+fcYGhoybtw4bt++jYWFBbVr18bHxydfO5JcPLkLP7YnbW4NBr+vYf369XnmFCoo7p26se16MqaNe7Blz0Hq169Ps2bNiI+PZ/r06dSuXZuvvvqK999/v9Bt9+3blz179jB8+HCWL1+Ora0ta9as4eDBg+zatYu6deuyb9++f+SyQnR0NGPHjqVevXoYGRkRHh7O4sWLiyYb+Au2bNlCixYtqFOnDgcOHECpVDJ58mSSkpJ0ZSwtLVmzZg3Dhw9HCIFarUaj0XDx4sUiG8fbYmBggJeXFzdu3CAxMZGBAwdy4MABQkJCCAgIyOXOrkfPu0IvWP4lqFQqtmzZgouLC25ubgQm2vBcDUJhkBOkrMnIIu/zyZMnfDhuBtmZz3XfqbMz6DhwPF26dOHnn39mydiuHP7UhVWDGlG2xJtFU5o6DbX8MsOvWqvmYdpDOnXqRGxsLJcvX86zXnR0NCNHjmTz5s06w9HExEQGDx7MTz/9hJWVla5snz59CAkJYd++fbi7u2NsbMzXX3/N13O+wNjg5U/CQKng0IG9dOzYsdDn5o9YWFiwcOFCQkJCuHHjBjVr1uSnn37SxVx5BVmGdR6ImAuUkZLx62BKufQwKleu/FYPhyfPUvg0MB5trQ78dCmB0v2/QWFiRmxsLMuXL8fOzu5PJ6dr3rw5Z8+e5fvvv2f8+PFotVocHBwICgrCz8+PKVOm0LZt23yv4V9NVFQUo0aNokGDBpQsWZLbt2/zzTffUK5cuSLva8WKFXz00UdATtbxOnXqUKdOHZycnDhy5Ah79uwhODgYrVZLqVKlctV913mGCoO1tTXr1q2ja9euQI4rvlarJTQ09G8emZ7/AnrB8n/OgwcPmDZtGhUrVmTlypV4eXmxe/duxuyIJcHJF6nNDBgaCJWLJigc5IijOXPmYGtry8Gz17hVfzpYVoVSVThffjjnbj3CwsICb29vgoKCCvVWXcq4FFVLVsVQkRMwTaPSUK9EPQwMDPjoo4/ynGVRq9X069ePiRMn6vLXCCEYOnQoAwcOpF27dq/UqVSxIsePHcPFxQXHJo60X9WeLhFreK4QZGpBqyxGmKYSTZzb0bFjR3bv3v3WXj+/p2rVqmzdupVt27bxww8/0KhRI44fP/5qwewUyHyKRM65M1QAj64VaoZFpVKxb98++vXrR82mrUnJ0iIZGCIpDTA1MyfNxJpjx44Bb3ZpLszxnTt3jvDwcLp27UpaWhqSJOHh4UFoaCh9+vTB09OTQYMGFSgi8bvg7t27DBs2jMaNG2Ntbc2dO3f4+uuvc4naouTSpUskJibSoUNOzJUHqQ94Xuc5dfrVYey4sdy6dYvHjx8TFhbGuXPnaN68OYaGhrqtRYsW72Rcf4bfp8uQJEmfI0jPX4JesPwfIssygYGBdOnShYYNG5Kens7x48c59uIB3KtXL77/fgVVOnqB0ydg06BI+hVCsHv3bipVqoSvry+DBg0iLi4Oxz6fw/grLGEoQ+bvIDg4mMjISD766CPGjRtHy5YtOXToUIGEiyRJrO2wlsG1B9PdvjuOdx2ZOGQiKpWKESNGsGvXLp4+fZqrzowZMyhZsiSTJk3Sfbds2TISExPx8fF5tZNjvuBjhcGCCgxvZEaVLlV4KB7y2MiA7nbl8bMqjaL7Cur7XCY6OpoPP/yQhQsXUrlyZWbPns3Dhw9/f1IgNQ5Uz1/t5zU0b96cc+fO8cUXXzB8+HC6dOnCrVu3XhYwsUBtYoVGzjlnkoEhVGiaW7Bkp8PNAIg8kTMOcv43Tp8+zZgxY7C1tWXBggW4uLhwPHAfhsYvZ7hkAeNGDmbSpElotdo8XZrfFgsLCwIDA7GxscHZ2VknTAwMDBg9ejS3b9+mQoUKODg4MG3atJzUBppsiDgCUadzZpfeAbdv32bQoEE0b96cSpUqERERgY+PT046gnfIihUrGD16NEqlkujUaHrv601avTR2p+7mRMkTGBnluIlrtVoePnyIlZUVH374IR4eHvTr14+yZcu+0/G9DS4uLrrIzGZmZv+pRJd6/j70kW7/wTxIes74zVeITc6kewM7RjYpw7q1a/H396dkyZJ8/PHH9O3bVxfzQqVS0a5dO1xcXPJ+UP8Jrl69ipeXF6GhoZQqVYrt27djb29PWFgYhoaGHDx4kJ9//pmgoCAqVaqkq6fVatm2bRs+Pj6Ym5sza9YsOnToUOCw7Vqtll69emFqasr69esZNGgQDRo0YOLEnCR+Bw8eZOTIkVy+fBkro2yICCIyMYOmg2YRHHwhV6RYAKKDERu6I6lzbEgyNfBRuXZcKRGBeDGbIWRBwpcJ2Fexp1q1atjb22Nvb48QguPHj7Nr1y5atWrF2BGDcY9bgpR4E5Cg5xp4z7PQ5zY7O5tly5Yxf/58evfuzezZsyldujS9O7RkkFU4bs3rUsx1ItTpztWrVxk4cCDXQ87CD06QkQQIkq2bMy+iOps3b8bc3Jz+/fvTt29fKleurOtn/fn7zNkXjlqjYVzbGkx0r4mrqysDBgzg8ePHZGRkMHfu3EKPPz+EECxatIjFixezZ8+eV2LHxMTEMG3aNE4fO8ylj0piqUhHEgLs20DvDVBEof3DwsLw9fXlyJEjTJgwAS8vL0qWLFkkbb+J5ORkqlSpwu3btylbtiw/Xv+RZVeWoX2RRVuBgo80H6HUKlEoFFSuXDnPGcF/IrIso1KpMDY2/velYdDzj0QvWP7BuC48zoOnGQgBCllD+qk1eLxXijFjxtCkSZNXbhIfffQRcXFx7N69u0CRWgvCo0ePmD59Ojt37kQIwejRo5kzZw5qtZodO3agVquRZZnU1FQGDRqU7/q/Vqtlx44d+Pj4ULx4cWbOnImHh8f/2DvvsCiuLg6/swVYuooiglgRC9hA7BVrbGCINWIviRp7T+wmxhg19hhr7EYlauxib6hoNEZFEAGjAqKiUpZt8/2xupFIVWyf8z4PjzJ7595zh92dM/ee8zs5+qJLTU3F19eX+vXr06ZNG/p37cqxhQt5LIpU79HDGLvjWRR+ro+o15KSquZOgdqUGbYLMMaynD17lpCQEBTXtzOk1C1szY3jikorIjusoFPIBNQ6NaJWpEnpJox0H0lERAQ3b95M929ERASiKGJnZ0d3t8eMrSFi8UwvWiuYs6H4D4gYv8xf/BFFMdtjT58+5dChQ1y6dAkXFxcSExPRaDQMHDjQ1Eae+oDbR9fQrbk3tc2uYi4Yt6nUOpit60rrLv3w9MykthBgMIiUKFmSgwf24+bmxvnz52nTpg3t2rWjePHi6Vap8oqgoCD69u3LL7/8gp+f30uvR/4xF8czk7FSGFdWRIUKof8JcCj9WuNevnyZqVOncuzYMYYNG8aXX36ZIw2gvGTevHmcPn2aDRs2ALDy3EpmX5oNz0pEmcvN+d75e+LuxVGwYEHq169vWnGRkJBIj+SwvKckJiZSZcYJxH8L0dOhiiPfd/DOsP2SJUuYN28eZ86cwdbW9rXGTtGmkJiUyMpFK/nxxx9Ne/u//vor1atXB+D69eucOnXKFNchl8sJCAjI9snVYDCwbds2pkyZgrm5ORMmTKBVq1bZOi4JCQnUqlWLkX37UmHZcuzMzdFqNMS4udFmx3Y4/C3isR8QRONNz4BA17BmnA45x4MHD6hUqRJarZb4W39zoYcMazMRuVxpLPI34CyRyf/QdXJX6lSpw7ddvkWS0jqLAAAgAElEQVQuyzzQ8eHDh0RERGB1+gfKPdyP7JnpelGgR2QrBJncJK0vk8lM1ZdzeiwqKopNmzahVCpxdnamW7duyOVy7IWn9NSsRKdJRWWmQEBEzrObvNwMYehVsM4+DqN9+/YmgTeArl27cunSJYYOHUqPHj2yPf9VOH/+PH5+fkwb1IluTuEIujRoNJ47yhIELxpOO3EP1s/u02od7Cs1mZZdB2ZaPDMrLly4wNSpUzlz5gwjRoygf//+70R5VxRFKlSowOLFi6lfvz5nzpwhoH0AHuM8iLWMRSFTMLPeTBq5NnrrtklIfIhIDst7hCiKnDt3jp9//plt27bhHPgjaktHdCJYKGUs6lKVRmUdXzrv2LFjBAQEcPLkyddWsP0t7Demn5mOTqdD8Y+Cu4vu0qN7DyZPnoyFxb8xEHfu3GHfvn3pHJauXbvm+OnQYDDw+++/M2XKFORyORMmTMi2uvHNmzf5ydeXPipLFM/etqJczoWhQxD+XE47u79RKY3na0Q564v/SLny5dm5cyeLFy+mffv2ODo6EnpwG0Fft0FhYQPV+4IqH3fv3qVChQrcuXMn5wGE929gWFqftNQULFRWCBXbQ+u5OTs3i+vSoEED/P39+fXXX0lKSiJ//vzMnj2b2prjcGwmPNtOAEjWgFIpx6zeEPCdkKMxZs2aRUxMDPPmzQOMWzOlSpVi8eLF9OrV67Xsz4p/bl7FbnktrJTGFHi1QU7NX0UatP2cb8tcxuzhdTRpaSQU8aXLxvvcvXuX0aNHExgYiLl59vVszp49y9SpU7lw4QKjR4+mT58+qFSqNzaf7Dhy5AgDBgzgypUrrF69mlGjRrFixQpatWpFijYFM7kZCplUzk1CIse8TdEXCaOqZWRkpBgaGirGxcWJomhUGV20aJFYuXJlsWTJkuJ3330nxsbGik9SNeL4oL/Ez5edEXf8eSfD/qKiosTChQuL+/bte23bDp04JHos9xA9Vhl/KiytIM7bPy/T9mfPnhWXLVsmrlq1SoyOjn6lMfV6vRgUFCRWqVJFrFy5srht2zZRf3aFKP5YXhQX+IhizFlT2/j4ePG3nj3FC25lxFu1SoqxbVzEm3WLi3Vr1BAL2luJfw0qIKaMtxX1kx3ElHNrxalTp4oODg5iz549xVu3bonHjx8XCxUqJEZGvqxU+v3334u9evXKtf07Vs8Tl/TyEsWrO0UxD1SE586dK9auXVt8+PChaG1tLT558kRcs2aNWLRoUXF1Xy9RP9nBJAhomFxA9CqiFIf1aJerMY4ePSpWr1493TEXFxexWbNmr21/lvxzXjRMdzbZn/JNATHp7Drja3qdmHbrjOjtamVS8j127JjYvHlz0cXFRZw7d66YnJycYbcnT54UmzdvLhYtWlRcuHChmJqa+mbnkUPat28vzpkzRxw8eLDo5uYmXr169V2bJCHxQSOtsLxlzp07x19//YVeb3xKvn79OitWrMDX15d+/frh6+ub4/iTlJQUateuTdeuXRk2bNgr2xQTE8Po0aMJPhOM49eOphre5nJzRlUbRXv39q/cd04RRZGdO3eybd4YFte4i0phfFumYU6fsPqcCAnl4cOH1PH2ZrIhnMq1EhEE0COjx0N7Emq4c/N8OM4hUKv2Jyxfu5kmTZowceJE3NzciI2Nxdvbm6VLl/LJJ5+8NLaHhwdLliyhbt26ubJ7wIABlCxZ0hQE/DqEh4dTs2ZNTp8+zZUrV1i8eDH79+8HjHE8C2fPoFXsXFxsRBQygYTqoxn37TyKuBRjxqZTkMU21ovcuXOHiRMn0qVLF6pVq4a1tTVlypTh0aNH7Nu3j6pVq772XDIk5SHM9TBlVKVoYcj1qnw1eT4eHh4ANGjQgDFjxphSgAFCQ0ONwcC3jjHSrzIVm3TEskZPjh0/zpQpU4iIiGDcuHF069YtRysxbxSDHnYOxvDXViLvpzA9oiz39PnYsGHDS/oqEhISuUNyWN4yq1evJi0tzfR7WloaAQEBODk55aofURTp1KkTZmZmrF69OudR+hHB8CgKSjYgydyRSZMmsXjxYlQqFYULF6bYsGLcN7uPQTSgUqoIahuEg+r1BMVyg3h+FfpdI1GIxuq1SRqRZkFW6O2KUaJECSwtLekjbKaGi9GpO2CpYlwhB9RG74XU6FTczroxa9YsKlSoAIBOpzNlT02ePPmlMc+fP0+HDh2IiIjIdbZDxYoVWbZsGT4+Pq81b4PBQP369fn0008ZMmQI/fr1o2zZsgwdOjRdu7h7d/CvV5Hb8YmcGOCCg+wJiCJWZRtAl22QjbObnJzM5s2bSUtLQyaToVKp6NixI87OzowcOZLdu3dz6NChN5f1ERMCu0eiS0tmQFA8iY61OHz4MK1atWLi5ImM3jyaeFU8Het0pKdHz3+3TML2YNjcDZk+jWQtrAsz57tQK7755hu6du2KUql8M/bmlvMrYO840KViEEWeiNbYTLz9Xom/SUh8qEgbqG8ZlUplclhkMhlVqlTJtbMC8P333xMZGcnRo0dzfnMJngpnFhllv3U6mqxO5cJdHc2bN2fEiBHUqVMHvahnb9Renmqe0ti18Vt1VgBwrY5er0chA1GQYWnvwC+bf+NuXAKxsbHMnj2bJ1VU6AxqFDKBEAtzo7MCIAeL4hb80ucXXFxcTF2OHz/eFOCbEatXr6Zbt265vkk/evSIW7duUaXK6+vczJ8/H4CvvvoKURTZs2cPQ4YMeamdo5MzJXyaY39uMwWEx1g9W4nSRZ4i/s8DOFVpmuU84uLiAEyreDqdjkePHvHw4UMGDBjAqlWr2LlzJ23atHntOWWIa3XofwwFMOKTcOrUqcPSpUsJCQmh/pj62DayRVSI/HL5F5I0SfRx78OVK1dwOjKZ4nrj58ZKCe3ddYwOTjRJxRcpUuTN2JsLtFot0Wf2UFqXCoBMELCTpSLkUcaehMTHjvRJess0atTIpFtgZ2eHt3fGWT9ZsWvXLubPn09QUFCOgwrj4uLQnZwP2hQEXSoKUcPMz9yJjo5m+/bt1K1bF0EQUMgUtCrZik5lO1HQ8s0of2bF0qBj9D+eH13x+gjl/ZD1Daa8Z2UaN25MmTJluH79OpPOWHAvScAgM8NTNEPQPhNXQ0AXp0sXHBwUFMTGjRtZt25dhk+5aWlpbNy4kcDAwFzbevLkSapXr/7aT/fPBcxWrFiBTCbj2rVryGQyypYtm2F7T09PtHqQv3AjTEtT08avHTY2NtSsWZN+/fqxYMECjh49mq5ejZ2dXToBP/FZarVKpcLS0pJZs2YxcuRItFotbxo3Nzd+++03+vbta1TjbemO+MwBU+vVLD+ynMKFCzNo0CCuxaagfiY0LCJg71yWK1eumLbz+vfv/8o1ll6XqKgovv76a4oVK8ZP+8LRCcb3Q5pe4O8UB/RvSAhPQuJjQ3JY3jIODg4EBgbSrVs3AgIC0t1cc8L169fp0aMHW7ZsybQ42/3799m7dy/Tpk3D39+fokWLUrZsWZ6k/istLyjMqNuk9Rupm/KqnDlzhm+++YZxS/eg6L4DPlsJ9q6AUaW0SZMmlC1blhKV6zJP1hvZsKuUaLCZp4eScVA4QAzcmnXLdOMKDw+nX79+bNmyJdM6Obt27aJChQrpBNZyyvHjx3Md8/JfDAYDPXv25OuvvzZleO3Zs4cWLVpkulJSvnx5DkfpOR+vIEkjkqKDp8Wa4NdnDAUKFCAhIYFHjx5x/vx5xo4dS4kSJShSpAjNmjXj22+/RRRF5HI5FhYWNPUuhd3W9lztq4ATc2nevDnFihXj559/fq15ZYYoity5c4e9e/fyww8/sGzZMlQqFZUrVyb6bDSC3jhnOXLqlq3LkydP2L59OxMOpxGjzYdBBMG2CASswNnZmTlz5hAWFkaBAgWoVq0agYGBXLt27Y3Y/iJarZagoCCaN2+Ot7c3SUlJHDhwgPk7/0TRZRN4fga1BzMy1JiWnhdlHSQkPnakGJYPgfhrsHcsutQn9FkfSd1uE+jZsydgrAETGhrK+fPnTf8+fvwYLy8vvLy88Pb2xsvLy5g63KUOy5uoUSoVYOsCvfaDZd7Isb8ucXFxeHt7s2jRIlq3bs3T4GCeBgdjXrYsewWBgV99hSAIbNu2jS5durD44GJW3VjF7Zu3aSZvxrTB09DpdJiZmZE/f34CAwPZv38/AwcONBWde5HUS5e4O2488dHRPGzUiJbzfsq1zbVq1WLatGk0avTqOhpz585l69atHD16FJ0Bdly6y4xZcxjcrh5dP2ub4Tnh4eGUKVMGlYUFLfoWRVdeRoy5Bd/UnoBfKT+Cg4NZtmwZ+/bto23btvTq1QtXV1euXLnClStX+Ouvv7hy5Qo3btwgcqAFjpYGZALoBDNia08lPr8PLVq0MFWYfonkB/DkH3AoYyysmQlPnz41jffij1wux9PTE09PTypWrIinpydbtmzh2JljeH3txeUHl6lYsCLf1f2OB3cf0LhxY/r27YtarSY1JYnvZszMcLzExEQWLlzIvHnzqFu3LuPGjcvzAOJbt26xbNkyVqxYQenSpenXrx+ffvpppiudKSkp+Pn5YW9vz7p1696fWBsJiQ8QyWF530lLgjkVENWPERBR62X8qurN/gu3CA01Zs5UrVo1nXNSqlSpdJlGt2/fpkGDBgwePJiv+veC5ASjYFoOs0reNFqtliZNmlCvXj2mTJnC4z17uDd2HKJajVYm45BezzpbG/r168fPP/9Mh0Ed2CTbhFqvRjSI2JrbEtw+GIWoQKVScfv2bWrXrk1cXBxr1qzB398/3WqFITWV8Lr1MCQlASBYWOC6YjmWubi5paam4uDgwP3791+58NvzrKAzZ85QqlQpOi49w+V/EklJVZPf1oqDw+pTwPrlrJekpCRsbGywKmtF6ZGl0cuNGWfmcnP2frrXFHd0//591qxZwy+//IIoivTu3ZvAwEAKFSrEn/F/su/mLoqdWkzA06coMNYXWnBZxZh9T7C0tMTR0ZHu3bvj6emJh4cHzs7OCBHBsPlzEJ5VAe9zCJ21Ezdu3HjJMYmLi6NcuXIvOSeOji9rCRkMBjp37owgCKxbtw6ZTEZ4eDiNGzdm5MiRDBw4kJYtW9K7d2/8/f2zvK7JycksXbqUWbNmUbFiRcaPH0+dOq9e/FOr1bJjxw6WLl1KaGgoXbt2pU+fPpQvXz5H56vVagICAlAqlWzatElSspWQeEWkoNv3ncRo9DoN8md1bvQiWD0Oo127jnz77beULl06yzToO3fu0KhRIwYOHMhXX31lPGj29lU/s2L06NFYWloyceJEAJ7s2ImoVgOgNBjwtbTk56Qk9Ho9ZmZmlKhRAuGc0QERZAIanYbY5FgK3Yuij7eKw1uXY21tzcKFCxk+fDjLly9n/vz5lCxZEgBdQgKiXp/OhrQb4blyWEJCQvD09HxlZ0Wv19OjRw+++eYbSpcuze2HKVy6nYhaZ0BQmKHWGgi+Fk/7akVfOtfa2toYb2SvQCaXoedZXRpBRqI60eSwFCxYkGHDhjF06FBOnTrFsmXLKFOmDLU71OZerXto0WKW345QcyU/JDwEhQWDZm2k8y8eHDhwgN69e3Pq1Ck2b95MREQEWq2W8C+VOFkaYzL0aU/ZMbQGXTY9wtnZ2eSYdO3alYoVK1KqVKkcZ8fIZDJWrVpFo0aNmDRpEh06dKBp06ZMmTKFXr16IYoiISEhLF26NNu+rKysGDp0KF9++SWrVq0iMDCQokWLMn78eJo0aZLj4OqbN2+ybNkyVq5cibu7O3379mX79u253sa1sLBg27ZtdOjQgXbt2rFly5Zc9yEhISE5LO81BoOB0dPn8bVlMnYWxi9ZK5U5XQZ9B44Vsj3/3r17NGrUiL59+76UHvu+sGHDBrZv3865c+dMN7f75ubIRBFzQUAEUqytGPblF0yYMIFdu3Zh5WD1b+CoCKkpqewdGUBfl9vMaiSDez9Q5+dVuNZsga+vL3PmzMHHx4fBgwczatQozAoXRm5rS1pqKs9vp5Zeuds6eN34lXnz5iGTyRg0aBAA1uYKDC+sdQoC2Flmsn3wTyi/+lsSo9WyIVWDYCFDKVdSxKoIxe2Kv9RcEARq165N7dq1mTt3Ln0290GLMahWI5NxwMqKkxcTWBT6lI2TfFEoFFhZWdHWXcGCMsGoKshYV64wm+4VxUJxAZ6VA5AJUK+GN/cXrM8T6XsLCwt+//13qlSpwvx581g+aRKtmjYFIDIyEgsLi0zjtjLC3Nycfv360atXLzZu3MiQIUOwtrZm3LhxtGnTBpkgQMxp0KZC8TqgMEej0bB9+3aWLl3Kn3/+SWBgIEeOHMk0ADqnmJmZsXnzZj7//HPatm1LUFDQKzu7EhIfK9KW0HvKlStXaNq0KQ8fPmTLvPG0Eg6BJgUafQ3lWmd7fmxsLA0bNiQwMJCxY8e+BYtzz+XLl/H19eXgwYNUqlQJMNYrGj9iBNtq1sQy4iapdnZc9WtLso0NERER/PjjjwAcvX2UxZcWY620ZmiloZT4uTGWYsq/nZf3g/arTb9GR0czZMgQ/v77bxYsWEARpZKjvfvQqkEDHPr0wapG9VzZ3rRpUwYOHJi79N+Ht+DARJIf3aPz4lB+3HqW0qX/LfD366koJgRdQqFU0KR8YRZ2ropM9p/VgPthsLQBaFNI04lck9lypt14VEpLAsoEYKXM2nGIjo4mYGYA6qpq0+OKrcyWkTYjGTNmDJcvXzZuWaQ8RJxdDkFnXOkSlZYIn28zxlPtH0eaVo9Br0f15WFwqpTza5ANZ86coW2rVvxoY0sVGxvkgkC+Lp0JdnFh69atbN269ZX7fl4OYvr06Wg0afzRrSCuaWEIgkCaZWGm3GvAslVrKV++PH379sXf3z/PV0J0Oh09evTgzp077Ny5853UOJKQ+FCRHJb3DFEU+eqrr1i0aBE1atRg9+7d2RYU/C/x8fE0bNiQjh078s0337whS1+PxMREvL29mTx5Ml26dMFgMDB+/Hg2b97Mzp07yZ8/P7t37zZlV6SlpdG8efPMayXN8YTHMcb/Cwqo3AnaLnip2R9//MFXX32FmZkZvr6+LFy4MNe2332UTDn3MkReu0yBAgVydpJWDXM9EFMeIIgGtChRDjgFBcuYmkRHR1OtZh2uhoXjYJPJjfLsL7D/a3jmSOhQohh6CeyyX3nYtGkTgwYNYtjIYURXjubEnRMotArW+q+lXP5ylCxZku3btxudx/jrsKyRSZU2SQO/3C1LilsbfMs7UKaAjGa9J7Bkwx94eXnl7Bpkw9GjR/nss8/YPGw4BTdsQPZMr0gwM+PXmjWwL1WKUaNGvfY4oihyfPtqfEKHYCE3fv0laWCrvjE1en6Lu7v7a4+RFXq9nj59+hAeHs6uXbteu1iphMTHgpTW/B5x5coVnJ2d+eWXX1i+fDknT57MtbOSkJCAr68vAQEB762zYjAY+Pzzz2nZsiVdunQhKSmJTz/9lJMnTxISEkL58uVxdHTEyckJhUKBVqtFqVSmW434L7pWP5GsBb1cBTaFoOG4DNu1atWKS5cucefOHdavX8+cOXNynHIqiiKDNlyg/g9HyNdtEWsuPsiyfXJyMqGhoaxdu5Y5k4aR8uTBv9WkRZFrB1ah0WhM7Q8cOEDjBnUzd1YA8pcA4d+Prc4gZpvp9fTpU1O8zO7duxkzcgwTPCZwd8RdtjfbTgWHCshkMjp16sT69eufjVMSLAuiNQgYRLC0ssKtaU8SExMZPXc9xVoOI+axgdatW5uqhKufxR29Cvv27SMgIICNGzdSxdPDtD2oF+Cgp8gxeQhFq7wcz/MqCIJAvfoNsHhBxt/CwoJu3Xu8cWcFjIVCly1bRoUKFWjWrBl34hI4ffMBUQnJb3xsCYkPGWmF5R2h1WvZcXMHTzRPaFKsCd+P+55FixZRvXp19uzZk2tHBYwpzr6+vrRs2ZJp06a9OXn112Ty5MlcunSJpUuXkpKSQps2bahatSpLlixJl0EhiiLr169n1apV7NmzB4Ui85CrdevWsW7lz+zeuBzsi4Ei80yM/fv3M27cONavX8+AAQOIj49n0aJF1K5dO0u7j4ffp9+aUFI0z7JyFDKCh9fHQp/CtWvXXvq5f/8+bm5uuLm5kfQwls3VL2Nr/qyaNAr6nCzC9nO3TX+zoKAgPv30U7p3756lHcm7vmHLX8s5bG1J/D8qfp8eipk84/meO3eOzp07U69ePX766Sesra0B6N+/P9bW1syaNcvU9vLly7Rq1YqoqChjIHfyA9YNqI7coKbjj8FQ8N+buU6n4/LlyzRp0oQ6deoQExNDWFgY5cuXx8fHh+rVq+Pj44O7u3vGQeF6LTyIAMsC7Dh0ht69exMUFETt2rUxJCcT2e5T9PfvM6N5Gn+WFNDKRVRKFetarqNMvjIv9/cq7BwMlzeRqk7jUpwBr3n3UFq8vbgSURTpN2QUB2ReWNrYoxdFJrQqT+fqxd6aDRISHxKSw/IOEEWRPvv7cOn+JbR6LVq1lqhJUSz8bmG2N6v/cvBqHCtP3sLeQuDkwhE0q1+LGTNmvHfOyvaLd9h8/jYk3adk0hWKFymEwWDg8OHDeHl5MWzYsJdsTkpKoly5cqxfvz7LAFdRFKlatSrTpk2jZcuW2drSpUsXatSowaBBgxBFkd9++41hw4bRomlj5vvqsIjcB9aFoeM6cKpoGmPNkStMPxhD2rMEI0GvIXn7ZDTxUZQrV+6ln2LFirFp0ybGjBlD3bp1mTO8M44h0yAtGRqMgSpdiIuLY+/evfzxxx9s3boVDw8P/Pz8aNmyJdWqVcvwZj9mwxh2Pt2JzFyGQWOgtXtrZtSbka6NwWBg1qxZzJo1iwULFtC+/b8FLG/cuEGtWrVMgmsvXkdPT0+WLFliSgMuX748SqWSS5cuZXgtV65cyapVqzhy5AipqalcvHiRs2fPmn4SEhLw9vbGx8fH9ONcwAaWNYYn/6DTahgeDF1n78Xb2xuNRkNMTAzRYWE8PHaEKeX2wrO3hYBAH88+DKo6KNu/cY4QRYj7G03KExyrNKdBI1+CgoLypu8c8t3uayw9GoH4bNVMpZRzbWrzbM6SkPg4kRyWd8CD1Ac02dIEreGZ/LkOBlcZTO+qvXPVz/moh3y+PAS11gAGPdaCmsvfBeS42vPbIvhaHAPXXyRVqweDDhdLPYFFEkyvd+/ePUNtinHjxhEdHc26deuy7P/QoUMMHDiQK1euZDv3J0+eULRoUSIiIihYsGC64wenf0ZzxRmeJ+c8wYYBNxty7do1wsLCsC1QCJX/NDSCGWZmSorbKVndrTJFnAq/5GydPXuWwYMHo9Vq+emnn7JdvTl37hzdunVj8eLF7N69m127dhEfH0/z5s1p2bIlTZs2NVX7rTu3Lon5Ek3n2iptOdn5pOn3O3fuEBgYiEajYe3atRQrZnxiv/HoBqfvnmbD4g3Ud6nP2DEvB2N/++23/PPPPyxatAgwpkY7ODhkqh6r0+nw8PBg3rx5NH2W0fMiCQkJnDt3Lp0T85WXyGgfHWYy41ePxiDQ+LAHt6KiiY+Px9nZmeLFi1OseDH+rPsnOplxy06BgtHVR9OxbMcsr+WrEBwcTJMmTdixYwetWrXK8/4zY/quqyw/ccuUIWauEAib9knWJ0lIfKRIac3vgJiIGDRpGgSl8SanslDhnC/n6ZrPCbn1EI3uWZ0SmRy1zJokjR5bi/fLYTl6477RWQGQKbijliOKxtRdmUyWrraN9s4d/hk8GHXkLZwePuTLw4ey7X/WrFkMGzYsR47a1q1badCgQTpnBcDW1pZ29Tzh3BnTMUvDU9TqVAYMGEDbtm3Jnz8/F/66hv9Xk/lxzo+08HDCTJF+zLt37zJ27FgOHjzI9OnTCQwMzJFdBw4coGnTptSvX5/69evz/fffExUVxZ49e1izZg19+vShcuXKtGzZktjrsZjVMkNmJgM9OIpmcGwWFKvF9j/v069fPwYMGMDYsWNN22h/xv9Jn/190Oq16CrqUFTK+KPfsWNHqlevzk8//YTBYODx48embaSMUCgUTJ48OVONEwcHB1q0aEGLFi0A4ypO4u9jUFxaCs+0hRQygalTplC8ZCmcnZ3Tbf2dvnuaIYeHoNapSbqWRJHSb6bIoa+vLx07dqRDhw6vJQaYW3rULsGW0H/Q6kXUaRpST2/m2rUSlCtX7q2MLyHxISE5LG+Z4cOHM3fuXCp1rITQXEAv6qnjXIemxV5+Os2OEvnMEHUaeBa/YKdSYmP+/v1JPZztkIs69IICmQD5lAbMzJSIokiZMmUwfyH48Z/BQ1BfvQYGAw2trDDbuROeC95lwJUrV7hw4QLbtm3L0gadTkdsbCy7du3KvNBhBT8MF35Fpk9DlJuTYFceJ6cizJo1i+HDh9OgQQMsLS2paJ1Mm0pFiHoSxfAjw4lNicXXxRezY2b8NOcn+vbty/Xr17Gxscn22hgMBiIjI7l58yZ+fn7pXitevDhffPEFX3zxBampqRw5coSt69cTtfkWTuZFsK9sj8OTNBaoryBGX0JjgL1HLNi8eTOlS5fm8uXLxMbGcu/ePYLSglBbGYNiBXOBrTe3MrL6yJfsKVmyJKVLl+bgwYO4u7tTuHBhnjx5kuUcPvvsM7777ju2b9/+0hz+iyAI5Gs4EMI2YtBrSE1OQVOxE/UbZlzeoGaRmpzufBqNXkPwvmA6ftaRkJAQihbNmwDcF1mzZg2FCxemZcuWHD58OM/7z4gi9iqOjGzIn7cTKWJnwel9j2jYsCF//PHHKxVGlZD4f+b9u7v9P/HgJhycBNpUYkp0oG7nEdy7d4/FixfTt29ftAYtGr0mW+2MjEhLS+On0X0oXrIeatcaFLAyY3aHyu9d7AqAPPoc+uvHKFitJS75LJkV4IEy7THm5k3R/AEAACAASURBVOYUKlQoXVtNdDQ8q24r1+tJu3Ejy75nz57NwIEDs9TLeF6o7unTp9SvXz/j+jgAxeuwQfCnZFooNT/pROGaA5mnMDpTd+/e5dChQ0yePJkHDx7g6upKofGF0KiMWT5B14Mo9LAQZ8+eNSnqZocoiuzZs4fY2FiqVKnCo0ePUKvVGc7FHCi3bj3DQkP5omQZZoWYU8y+GX1TF1Ikn3EFx1yAQPcU6vn6UqBAAQoXLoyTkxOFCxdGXlGOzFKGQTBeWxtl5s5U586dWb9+PT179qRYsWKEhIQgimKm7y2ZTMbUqVMZN24crVu3zl7d1r4oDDyHLPIov+8MZttvsWzNYpdHJsiwUFjQsmVLhgwZQtu2bdmzZw8GgwEHB4c8q88jl8vZu3cvPj4+/Prrr69UwftVsFMpqV/GuOLnFhiIvb09n3zyCZs2baJhw4ZvxQYJiQ8BKYblTaFJhrkekJoIooEkjUjn4yVY+fuhnGt3ZIJWq+Wzzz5DoVCwcePGLLNn3jXR0dH4+Piwc+dOfHx8sm0fM2w4D3ftwlwQECwscJo6BbvWGQvl3bt3jwoVKhAeHp7lNQ0PD+f48eOm9GW5XE6HDh0y3OqoUaMG06dPx9fXN8O+SpcuTVBQEObm5gScCkAU/v34tC/Tnm9q5jyVPCkpiU2bNqF/ViZAoVBQq1atDFVVExYvJmHxEsRnadBPFXKq/fUXF77MT5WCBmQyMCAnrWQTlJ3XvfSeeJz2mB57exD1JAozuRmLGy+mSqEqGdoVFxeHu7s7M2fO5Pjx42zevJnHjx9n6RSKokjNmjX56quv6Ny5c46vQWpqKmXLlmXt2rU5Ug4WRZExY8ZQvHhxLCwsUCqVWRYffBUGDRrE0qVLuXv37mt/Vl+VI0eO0L59e5YuXZrtqpWExMfC+xXs8P/Egwj0GjU8090wM7Ngx6JvXvsLUK/XExgYiFarZf369e+1s6LVaunUqRMjR47MkbMCsNraihOFCmHTpEmWzgrAggUL6Ny5c7bXNKOVgYyOxcbGEhYWlumN8969ezx8+JAKFSpQpkwZajrXxExm3I6zkFvQ0DV3T8MKhYL/Pi9kVhhPGx9vclYALPUGBEHgd5oSlyKi1YPe1hmV39wM3xN25nZsbbOVg58d5HjH45k6KwCOjo74+PgQHByMq6srNjY2PH36NMu5CILA9OnTmThxIlqtNsu2L6JSqZgxYwbDhg3D8GxlLTvc3NyQy+VotVrUajV///13jsfLCfPmzaNQoUI0adIkT/vNDQ0aNGDPnj188cUXrFy5EjB+9qXnS4mPGclheQNcuXKFroPGk5ryrxCUmVIGBV+vHonBYKBv377Ex8ezZcuW977q66RJk7Czs2PYsGE5ah8ZGclPixbRZt1aXObPy9JZeV6Rd8iQIdn2W7x4cezt7VEoFCgUCsqVK5ehJPquXbto1qxZptf1xIkT1K5d2xREO7fhXD4v/zm+rr58X+976jjnriKwhYUF1atXRyaTIZfLKVKkCMWLF8+wrb2fH6K5GQZRRCeXE/WsXcVGAZRfLsNnqwOX6q4AW6dMxxMEgfwW+VHKst9C6dy5MyEhIbi6umJra5ttHAsYA1cdytekybc76bvmfI6F0Dp27IhMJvtXtC4XiKKY5zdxQRAIDg4m2j6aqiurUmdDHXZF7srTMXKCl5cXR44cYebMmSxevJjly5ezbt06EhMTsz9ZQuL/kPf38fwD5Pr160yePJng4GCsra35waoaE70Skek1xhpAhT1y3adGoyE2NhaVSsWUKVO4fv06+/bty9Ml8DfBwYMHWbVqFRcvXsxxmvWQIUMYMWIErq6u2bZduXIl9erVy1L99jkKhQI/Pz/u37+PUqkkf/6MlWF37NhBhw4dMu3nxIkTJn0SAJVCxVCv1ysq6enpSZkyZdDr9ahUqkzjRFSVKhHSpg2GkBCSrayR+xqDVBs1akRKSipq0YzYuLjXsuVF/P396d27N/ny5cPaxjrbFRaAm/eTeODRAU0qxFyN43zUI06NaYSFMuuYFkEQmD17Np06daJdu3ZZZugIgoC3tzehoaHIZDIUCgXly5fP9fyyQ1ZQRtGuRdHKtDzWPGbiqYlULVQVJ+vMHcI3gbu7O7NmzSImxlh2IiUlhUOHDtGuXbu3aoeExPuAtMKSB0RERBAYGEjdunVxdXUlf/78+Pv7M3HlAWRfhcLQv6BS5jfCzEhJSWHTpk0EBwezdetW1Go1u3fvzjLN9H0gLi6Obt268euvv74UVJsZO3fuJCwsLEerMXq9ntmzZzNixIgc2ySTyXB0dMzUWUlJSeHw4cOm9NuMeN0KzZlhbm6OpaVltgHTQZcuYd2rF8fkMgo5OgKYgmuTkpKIjY3NM5vs7OywtLRkQ9wGxCEiff/qy/F/jmd5zsWYRBTPAm4NIqRp9dx+mJLlOc+pXbs2NWrUYM6cOdm2rVy5Mn5+fjRu3Jj27du/kQKCd5PvYmH+b8yOUqbkXvK9PB8np7wYyJySkrNrKiHx/4bksLwGUVFR9OrVixo1alC6dGl27NjBhg0b6NOnDz/++ONrC7hdv34dtVqNVqtFJpPh4+OTo1TZd4EoiiQkJBAbG0tgYCA9e/bMNHD1v6SmpjJ48GDmz5+f5TbXg6Q0vlwXSp1pu7H29qNGjRp5ZT7BwcF4eXmZxNleJCIiglWrVtGtW7e3ps/xX7RaLUePHqVRo0bEx8encwTr16/Po0eP8tRhEUURZTklEaoIkEGqIZVhR4ah1mVeL6hsYRte3J0RASf7nK8Ezpgxgzlz5uRoHgUKFKBo0aLpUuLzEk8HT2SCDAEBUS+iVWtxz//m6wxlRPny5U0Oy/MtTQmJjxHJYckByWk6Ju34m8+XhbD5/G1u375N//798fLyokiRIoSHh1O/fn3atm3LjBkzGD58eJ6MKwhCuqfu9zFlGYw3t+DgYHbs2MH27dupWbNmrgovzpw5Ey8vrwyVUl+k1+rz7P87jnupMlJLNyLo4p3XNd3Ezp07adOmzUvHk5OTOXr0KBqNBpVKxYULF3jwIOuih2+C5+nSVnb5iE02YF/gX+G7ju0DqJRfjSL+L8ijeI6HDx9iWdgSA/8GwhpEA080mceyeDjbMd3fg6L5VKjSHtLM/AbWudAFKlmyJD169GDChAmvZXtekM8iHxtbbiSgTADuae5cGXOF+3fuvxNbSpQoQYsWLahSpQoNGjSgatWq78QOCYl3jZTWnAO6rzzLqZsP0OgMyEUdTw/9TE/fiowYMQIHBwd+++03BgwYwIYNG3K8qpAT1Go127ZtIy0tDYPBgI+PD56ennnWf17x4MEDtm/fni5tuFmzZri4uGR7bmRkJD4+Ply8eDFbMTC38bvR6l9II/Z2YWZApdczHmMws7OzMydOnKBUqVLpXouLi2P37t2mzBelUknDhg0zDY59U0yePJmYZBkhKh+eJiVRwM6G3wfUwdVeiWHFJyRHhqBQyFFVagefLjPKCL8GFy9epPuQ7oiBIga5ATO5GaXsS7G51eYcOc7Xrl2jfv36hIeH56qQZ2JiIu7u7hw4cICKFSu+zhTyFA8PD9LS0ggPD3/XpkhIfLRIKyw54MwzZwVALyjw//IbZsyYgYODA/Pnz2fo0KHs378/T50VMGaRtG/fnhYtWhAQEPBeOivAS1ka2W2FiaJIaGgo69evZ+PGjYwaNSpHyqXlnGxBNGqWqJRyfIpnHI+SW86fP0/+/PlfclYA8ufPj0KhMN2kBUHA8Vn8yNvk4MGDXLepSlKaDkFpQWKqlum7r8LNw8ju/42NuYBKboCwXZCQtdheToiJiaGYXTGKnShG6slU+lXsx+rmq3O8yleuXDlatGjB7NmzczWuvb0933zzDSNGjHivUngPHDhAVFQUEydOfNemSEh8tEgOSxZotVoWLlxIStwtk56KuULGhTtJ+P54hK5jZrJw4UJOnDhB5cqV34gNCoWCwoUL5+op9W1ToEABnJycUCgUKJVK8uXLR5Eimdd8iYiI4NKlSyQlJZEvXz5Tcb7sGFPTDn3MJUoVtGRgo9J86pX9Ck5O2LFjB60zSaFWKpW0a9eO8uXLU65cOfz9/d96htbTp0+5ePEigvLfIFCDCElqHcZIkRedCCFPtoViYmJwdnbm7O6zJG5LxNfKF0tl7uJ3Jk6cyIIFC0hISMi+8Qv069eP6JgY5m3cw+GweNTP61C9Q5ycnJg5cybTpk3jztkdEBMChndvl4TEx4S0JZQBoiiyY8cORo0ahaurK6Mnz2DJ5TRu3U/mcaqG5/UGBb2GbX2rUcUtb26cHzKiKHLv3j1EUcTJySnLVZaTJ0+mE/sSBIHevXtn+/Tes2dPSpQokav4mJxQsWJFlixZQq1atfK037xAFEX++OMP5syZw5czVzM+6C/S0tSoVJYs7+ZNreK2sLI5yVEXEEUDcvdmqAI3v/aW0MiRI4mPjycyMpLKlStTqFChV7ruX3zxhTHF/4cfcnyOKIr4z9rFn3EarCwtcc6nYsfAOtmmR79xRJEDfYtQq1CKMTPJqTIE7gC5pA4hIfE2+Og/aRqNhpSUFGxsbJDL5Zw7d44RI0bw8OFDfvrpJ5o1a4YgCDSuBeejHtJ95VmS0oxPVlaWKhK0eVPH5ENHEIQsV1VexNnZmbCwMHQ6HTKZjAIFCmTrrNy5c4egoCAiIiLywlwTUVFRxMbGUr169TztNy9ISkpi586dPHnyhM8++4zmZfORUFnGiq3HWPfTVNwcjRljhu57CKhYgKRUDY26lWNyHgRnR0dHExkZyYABA/B2NKDbPRpx2VGEJlOgWM4du6+//hpPT0+GDh2a4/dH9IMUrj+Wg8KcZI2efx6lEnwtnpYV364GykvE/U3jYiKCDmPpjXuXIOoYlMq4cKOEhETe8lE7LHfu3GHfvn2AMVD08OHDHDhwgClTptC9e/eXirgpUx+SlJQECgsQBAwiVChi+y5M/6ApXrw4tWrVIiwsDFtbW2rWrJntOfPmzSMwMDDParuotXqm/nGVvaERuHUcj06Ed/z8/hLHjx/n6dOnCIKAXC7n+PHjWKkTKKNIMDkrAHdi47n02BZBEIhctpwJEyZmX4AwGyIiwomIuEn7T+pjuawOgoMW/jkHaz+FQaFgm3PntEePHkyfPp2FCxfm6By5TCDdsq8oIpe9Dxly6QtA6vV65NICtYTEW+OjjmE5cuQIOp0OnU5HSkoKlSpVIiwsjF69er30hR8SEkIL33p0LZJAvTIFqV2qAGt6VadILnQmJP6lbNmytG3bloYNG2ZZVA/g8ePHLFu2jKFDX09V9kWm7LzK1tB/eKAzI966FN/tvp5nfecVycnJL/3+Xw0WMOr1uLu7U6xYMezs7Ni7d++rD/rgJvxUiXOtbhLSPz9Wj8IQZC98FmQKiLuaqy4HDx6Mo6MjS5cuJSgoCLU6cy0XgKL5LWnv7YKFUobcoEOleYRvuZwJEL5RHD2gZENEMyuStQJnY1KJlucs/kpCQuL1+ahXWJ6n4YJxhaVixYoZqshu2bLFVISsVatWb9NECWDp0qU0b948T1OJQ249QP0sGElrEDgT+fa1VbKjQoUKnD59Gp1Oh0KhoEKFCpw7d+4lhyUsLIxSZT25qsmHi40t85etpmXLlq826JYeiI+ikcsE3K2eGrOODP9+Tgx6LbJCuRMu++uvv0yZVQ8ePODkyZPZZtRN9fMksGZxbt+Lo32TmtzuV4OSJUvmfj55iSBAh7UI/5zl5p8XaNNjPA4nWnPq1KkMBQclJCTylo/aYalSpQrnz583/f5f3QdRFJk5cyYLFixg//79VKmSeYVbiTdDWloac+fOZdeuvC0+V71EAaITktCJAhZKGTVK5s1WU17yvEhjfHw8jo6OFC1alLi4ONzd0yuu/n39BmfzN+SpTo4gCOiKFubv8FtUcCuR+0Gf3OX5hoxM1MHTWPh8G4m/DSQ8LIy9hkp8Y+ecqy6fb2uBUfMmJ4UUAdwcbXBztGHokCGMGjWKLVu25G4ubwKZDFxrUNG1Bl7VdqDRaPD392ffvn1vTHVXQkLCyEe9JVSxYkU++eQTateuTUBAAAULFiQsLIxVq1axatUqxo4dy8aNGzl9+rTkrLwDNBoN69atw8PDI8/Txie0Lk/+x2EUNNPSwbsoYz95vUrabwpXV1e8vb1NOjXPnZcXuXz7ERrMEAU5BmSYqaz4cXXQK42nLdeOFKNGHhpRDlU+h2I1uddyLU1+U/DdhuOmQnw5pUyZMigUxmcjhULxksOVHcOGDePs2bMcP551LaO3zdSpUwkLC8POzo4ePXpgMBiyP0lCQuKV+agdFoDChQvj7u6Ora0tT5484cSJE2g0GjQaDa6uruzatStHiq0SeYcoihw/fpxff/2VtLQ0+vTpk+djCAYdN9ZP5Y8BNZnc1gNzxfsWcpsxGcWwxNy4guEFLRa5wox9v282qfPmhilnlKxJ8CTZoytddojcy2/MnnJxcUGtVmNvb8+3336bqz6rVKlC3bp1KVeuHA0aNMh1dWWVSsWMGTMYOnToe+UUVKtWjWrVqlG7dm1u3brF+PHj37VJEhL/13z0DsuLPH36NJ1+iEqleq++ID8W7t27R3h4OAaDAblczuPHj3O8jZBTDh8+jIeHxztRrX1V4uPjcXJySledOCkpiQfRYYxq7o4MEUQD/RqUomQ+JTt37sxV/+Hh4Sxe8jOtJmzCKmABReoFmvRTbGxsMDMzIzU1lU2bNhEVFZXjfgVBwM3Njbp1675yHEqnTp1QKBSsXbv2lc5/U0yZMoXZs2ezfv16tmzZwpIlS961SRIS/7dIDssLODg4pMsOkslkFCxYMIszJN4EaWlpLxV91Gg0eTrG77//Ttu2bfO0zzfJ9evX+eOPP2jatCmnT582VTS+ceMGbm5u9K5bivn1ZLhfWsSwJu7079+fn3/+Ocf9i6LI4MGDGT16NM7OxhiV0aNHs2rVKtNYRYsWpU6dOlSvXp3p06fn/SSzQBAEZs+ezfjx41/KnnqXVKxYkQYNGrBx40b27NnD5MmT+eOPP961WRIS/5dIDssLmJub4+/vn06GXQqke/s4OzujVCqRy+UoFApsbW3Jnz9v6gaBMfBzx44d+Pn55Vmfb5rQ0FB0Oh3m5ubo9XouXrwIGB2ZsmWN8TcF8ufnceIjAD799FMuXrzIzZs3c9T/9u3buXXrFoMHDzYdK1KkCJ9//rlplaVo0aJUqlSJ1NRUgoKCiIyMzMspZkutWrWoW7cuixYt4uzZszx69Oitjp8ZkyZNYvbs2Tg4OPD777/To0ePdMH8EhISeYPksPwHGxsb6tSpQ926dbG1lUTh3gVmZmYEBARQo0YNatasiZ+fX7YFFXPDuXPnsLe3x83NLc/6fNM8D1p9jlJpVFh+rsECxsKBz2/iFhYWdOvWjaVLl2bbd0pKCkOGDGHBggWYmZmle2306NGsXLmSuLg4XFxccHR05OLFi/Ts2ZNp06blxdRyjCiK+Pv7Y2lpyZ9//klQUBCJiYlv1YaMKFu2LC1btmTOnDlUr16dX375hTZt2vB3WAR/3k7k/tO0d22ihMT/BVItIYmPjrFjxyIIQq6DR98lsbGx7NmzBzA6L35+ftjY2NChQwfatm1L586diYuLw9PTk/j4eMAYk1KnTh1iYmKyXCmcMGECYWFhbNq0KcPXBw4ciEqlwsrKCq2o5Yh4BLMSZkQdjWLPuD2ULfN2MqzUajVr1641xZXJZDJ8fHxekiN4F9y6dQtvb2/CwsJwcHBg2twlLIvOh5WNHQYRFn1elYbu74H4nYTEB4y0wiLx0bF9+/YPKn4FjNlsXbp0wc/Pj06dOmFjY8PjFC1/x9zHrYxxhSVfvnwkJiby/BnEzc0NT09PgoIyT3GOiIhg0aJF/Pjjj5m2GTNmDMuXL8fOzo5TFqdILplMgiwBu/p2DNg4IG8nmgVKpTJdbJNMJsPSMncVpN8UJUqUoH379kz7YQ434p4S5+gDZpYka/SkavV8HfTXuzZRQuKDR3JYJD4a7t+/z4EDB3BxccHb2/tdm5NrzMzMyJcvHwqFgt1/3cXn24M8rTWAUYcf8zhVi5mZGUqlMl1Qav/+/TPNXHkeaDty5MgsU/ddXFzo2LEjp0+f5pH1I/SCsfinXqbnjvwOYWFheTvRTJDL5TRp0gSFQoEgCJQoUYJSpUq9lbFzQp2OAwjSe9F2wQkOXI0D4d+vV61eWsiWkHhdpC0hiY+C2NhYdu3ahU6nw2AwULFiRWrXrv2uzXolRFHEY+I+kjVGx0EpFxjYsDSDG5fBxcWF06dPm4TmtFotrq6uHDp0iHLl0kvq79ixg1GjRnH58uWXYlf+y+3btxn4iQdmHQpyo4gKgxzM5eYUSyyGcM6B4RO+pXwRW+xUb756uSiKiKKYp3FNeUGlyft5nGrUvpELIJMJmCtkJKWk0tA6jpUT+79jCyUkPmzer0+8hMQb4vr16+j1elPl47e1KvCmSNP9qw+k04skpRmLeHp6enL79m3Ta0qlkl69er2U4pyamsqQIUOYP39+ts4KQNEnoWz2l/OrPoFPkpIoJrfGr7Qfn3lN51zBZvRaFUL9Hw4T8yAl7yaZCYIgvHfOCoDmhb+JXoTWFYvwQ0Al1nT15MAv0/j999/foXUSEh8+79+nXkLiDWBpaZnuJvchp6sLgkCfuiVRCgbkog4rcwUBVZzYunUrLVu25O+//+bUqVOm9n369GHt2rWkpqaajn3//fd4eXnRpEmTnA0augpzmR6VKPLdw4f8EfuAr2t8zQ8HbyMozEnRijxJ1bLgcHheT/eDYUDDUqiUchTokRs0fNmwNC08nahbsTRBQUH06dOHS5cuvWszJSQ+WCSHReKjoEqVKhQoUABBEDAzM6Nx48bv2qTXYnSLslR+GkLjfA/ZP7Qe4pM4kpOTMTMzQxRFrl69ilqtBqBYsWJUr16dzZs3AxAZGcmCBQuYPXt2zge0dwWZcbvHAGDjBMCLO8qiCIaPeIN5YCM31vTyYVrbCqiDvuZR9DXTa9WqVWPhwoW0adPGJMQnISGROySHReKjQKlU4u/vT/fu3enWrdsHJcmfGQ+uniLAy4Ui9qps2/bv35/VvyyCR9EMHfwVw4cPN8W55IjGk6CwByLwQGsBny4H4OuW5bFQylCiQ27Q8EWD9ycI9l3gXTw/HWuWYvLooYwcOTKdQ9e+fXt69OiBv7+/yZmUkJDIOVLQrYTEB0qRIkU4c+YMrq6uaLVagoKCSE5ORhRFypcvT40aNUxt9WF7SVvTAaVCSfRjA0UnXcfcLve6ILF3/6FcBU/i4uJMsS+R95P4OzqO7q0bcjHkBK6urnk2xw8VnU5HpUqVmDFjBq1btzYdNxgMdOrUCZVKxdixY5HJZJQoUeIlYUAJCYmXkRwWCYkPkCdPnuDk5JSuYKderyc+Ph4zMzMKFCiQ/oTvi0OqUQXXICiQ1RkMvhNeaeyaNWsyefJkmjZtmu74qFGjUKvVzJs375X6/X9j165djBw5ksuXL6dzSJ48ecLPP/+Mra0tSqUSe3v7PFdzlpD4f0T6hEhIfICEhYVRpkyZdDc5uVyOk5PTy84KgPbfgFuZqIfUV5e0b9u2Ldu3b3/p+LBhw1i7di1xcXGv3Pf/E5988gmOjo6sWLEi3fHExERTPJVOpyMxMZGEhIR3ZKWExIeD5LBISHyAhIWFmWoI5YjqX6CTGbN5UFpCtV6vPPZzh+W/i7OFCxemU6dOzJ0795X7/n9CEAR++OEHJk2aRGJioqmkwH/TyEVRzFFquYTEx47ksEhIfICEhYWZqjTniMYTuek9ieH70+CLk+BY4ZXHLlu2LJaWloSGhr702siRI1m6dOl7UZTwfcDLy4t+/fqxadMmVqxYQVhYGI6OjpQsWRK5XI5MJqNChQrY29u/a1MlJN57JIdFQuID5MUqzTlCEJCXacrPoVrIX+K1xhYEAT8/vwy3hYoXL06rVq1YuHDha43x/0JMTAwuLi4IgoDBYODEiRNoNBoaNGhAx44d6dy5c7rgaAkJicyRHBYJiQ8ItVrNvn378PHxwdLS0rTNkBPy5ctnkrV/XTKLYwFjLEtiYiLr16/n7NmzeTLeh0pqamq6go0AGo0GACsrq/emeKOExIeA5LBISHxABAcHc/t/7d1dTFTpHcfx35kzB0YYBl+AjC9RQIJGfEETI1INe7Gb9UJDujUh8aYX26RNaow33Sa97lvaJnvZtMmmTWPSavZKarcSt+uFK2oXW7PiVk1Au2h1GBxmFmbnfXqhskHYCp2D8wzn+7lzxOf8bwzfec6ZZz7/XPX19YpGo4s6ObWurk7SV78wS9HV1aXHjx9rdHR0zt+NjIxo8+bNmpqa0s2bNzU8PFzy9SrVxo0b5fP5Zr4SYvXq1QoGg+UeC6hIBAtQQaLR6MyuSj6fX9Qnchzn6Um1iUSi5Dls29bhw4fn3WWJxWIzn17K5XKKRCIlX69S1dTU6OjRo9q7d6+6urp05MiROTsuABaGYAEqSDgclm3bkiS/368NGzYs+N9aliXLshSLxVyZpbe3d94v9GtqapoJlsXOuBwFg0F1dnaqo6ODA+KAEnBwHFBBstmsBgcHNTExoebmZnV2di7qHbtt27p8+bL27dtX8izJZFLhcFijo6Ozzn7JZDIaHBxULBZTW1ubOjo62FUAUDKCBfAQx3HU39+vQ4cOlbxWbmJCf33jDW0sSqt7erTu5z+TLxBwYUoAmItbQoCH2LateDzuyloP3/mhWlJpOV9+qamPPlLk3XddWRcA5kOwAB7i9/tdC5b03bvyPXsAuJhOK/3ZZ66sCwDzIVgAj/gi84VC3SHdSN9QtpAteb3gaz2ynt0CKjiO6l5/veQ1AeDr8AwLaWkYPgAABdhJREFU4AFTmSm9dfYtPXjyQI7jaPfa3Xrvzffks/7/9yzFbFbR3/xWd879WR+n0/rBhx/ycC2AJcMOC+ABlx5cUjwdl6/ap7wvr5vRm7qXuFfSmpbjqPH497X11Cn9ZGhI09PT7gwLAPMgWAAPqHFmHwFfUEE1fneOhV+zZo26u7vV39/vynoAMB+CBfCAA+sPaP+6/Spmi7IKlt7e/rbCtWHX1u/r69OZM2dcWw8AXsQzLIBHFItFdXR1aNuWbXr/D++7unYsFtOmTZs0NjamUCjk6toAILHDAniGZVmqSlcpl8i5vvaqVavU09Ojs2fPur42AEgEC+ApVVVVSqfTS7J2X1+fTp8+vSRrAwDBAnhIVVWVMpnMkqx98OBB7dmzR6dOndLw8PCSXAOAdxEsgIcEqhzls+7vsOTzeV28eFHr169XMpnU1atX9fDhQ9evA8C7CBbAK4Z+rw8O/EMXXvtUOv8jV5dOpVLK5b56NqZQKOjJkyeuXgOAtxEsgBck/iN98I4cX1F+n6RPfifd+9i15VesWKFAIDBz0q3P51M47N7HpgHAX+4BALwCyQnJ55f07HaQ5ZOmHrm2vM/nU29vr65cuaJUKqVdu3apoaHBtfUBgHNYAC/IZ6Vff0OZyF1ZxYKc4Grp+N+lWqICQGXglhDgBbYjfeeCzkTb9dPLBel7l4gVABWFYAG8IhDSn/7dqF9cKSiarS73NACwKAQL4CGRSETNzc26c+dOuUcBgEUhWAAPGR8fV3t7u27fvl3uUQBgUQgWwEMikYi2b99OsACoOAQL4BHT09MqFovasWMHt4QAVByCBfCISCSipqYmbd26lR0WABWHYAE84nmwtLW1aWRkRPl8vtwjAcCCESyARzwPlpqaGjU1Nen+/fvlHgkAFoxgATziebBI0pYtW7gtBKCiECyAR4yPj6uxsVGS+GgzgIpDsAAe8eIOC58UAlBJCBbAA/7y6UNdzLXrn8VNmk7ldC/Qpr9ph351/l/K5gvlHg8AXopvawaWuQu3Huv4H68rlS3Ib0kb19TqwWRS6VxRAceno3s26Mff3FHuMQHgf/KXewAAS+v88COlsk93UXJFaTQ6refvUlLZgi7eGS/fcACwQNwSApa5rWtDCjhP/6tbkkIr/Kr2P/2z35K2rQuVcToAWBiCBVjmvr1/k3o716uQmlJ7U43OfHe/3uwIy5+d1pb6gn75rV3lHhEAXopnWAAPKBQKchxHmUxGtm1Lkk6cOKHW1ladPHmyzNMBwMuxwwJ4QCKRUDAYnIkVSWptbdXIyEgZpwKAhSNYAA+YnJzUypUrZ71GsACoJAQL4AEEC4BKR7AAHhCPx+cES0tLi0ZHR1UocHAcAPMRLIAHzLfDUltbq/r6ej169KhMUwHAwhEsgAdMTk6qvr5+zustLS3cFgJQEQgWYJkbGxtTMpnU7t27FYlEZr1+7Ngx3bp1Szdu3CjjhADwcgQLsIwlEgkNDAzItm3V1tbq3LlzSqVSymQyGhgYUHV1tSRpaGiIW0MAjEawAMtYNBqVZVmzXkskEkomk3N+Nh6Pv6qxAGDRCBZgGWtoaNCLh1mHQiHV1dUpEAjMipm1a9e+6vEAYME4mh9Y5sbGxnTt2jXZtq3u7m41NjZKkpLJpK5fv65MJqOdO3eqoaGhzJMCwNcjWAAAgPG4JQQAAIxHsAAAAOMRLAAAwHgECwAAMB7BAgAAjEewAAAA4xEsAADAeAQLAAAwHsECAACMR7AAAADjESwAAMB4BAsAADAewQIAAIxHsAAAAOMRLAAAwHgECwAAMB7BAgAAjEewAAAA4xEsAADAeAQLAAAwHsECAACMR7AAAADjESwAAMB4BAsAADAewQIAAIxHsAAAAOMRLAAAwHgECwAAMB7BAgAAjEewAAAA4xEsAADAeAQLAAAwHsECAACMR7AAAADjESwAAMB4BAsAADAewQIAAIxHsAAAAOMRLAAAwHgECwAAMN5/AeMAbuAleNL5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"norm.graph(color=['H', 'CNOT', 'RX', 'RZ'])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"21.0"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# the greedy contraction complexity\n",
"ccg = norm.contraction_complexity(optimize='greedy')\n",
"ccg"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|##########| 100/100 [00:13<00:00, 7.19it/s]\n"
]
}
],
"source": [
"# 100 random eager contraction complexities\n",
"ccs = np.array([norm.contraction_complexity(optimize='eager') for _ in xyz.progbar(range(100))])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x600 with 1 Axes>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"xyz.auto_histogram(ccs, vlines=[ccg])"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Raw
oe_sample_MAXCUT_n50_reg3_seed0.json
{"eq": 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Raw
oe_sample_MAXCUT_n50_reg3_seed1.json
{"eq": 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Raw
oe_sample_MAXCUT_n50_reg3_seed2.json
{"eq": 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Raw
oe_sample_MAXCUT_n50_reg4_seed0.json
{"eq": 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Raw
oe_sample_MAXCUT_n50_reg4_seed1.json
{"eq": 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Raw
oe_sample_MAXCUT_n50_reg4_seed2.json
{"eq": 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Raw
oe_sample_MAXCUT_n50_reg5_seed0.json
{"eq": 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u0256\u01bc,\u025a\u0259,\u025b\u025c\u0258\u025a,\u025d\u025e\u025b\u0199,\u025f\u025e,\u0260\u0261\u025d\u025f,\u0262\u0263\u024d\u0225,\u0264\u0263,\u0265\u0266\u0262\u0264,\u0267\u0268\u0265\u0257,\u0269\u0268,\u026a\u026b\u0267\u0269,\u026c\u026d\u025c\u0120,\u026e\u026d,\u026f\u0270\u026c\u026e,\u0271\u0272\u026f\u0176,\u0273\u0272,\u0274\u0275\u0271\u0273,\u0276\u0277\u0274\u0100,\u0278\u0277,\u0279\u027a\u0276\u0278,\u027b\u027c\u0270\u01e4,\u027d\u027c,\u027e\u027f\u027b\u027d,\u0280\u0281\u027e\u0216,\u0282\u0281,\u0283\u0284\u0280\u0282,\u0285\u0286\u0283\u027a,\u0287\u0286,\u0288\u0289\u0285\u0287,\u028a\u028b\u0288\u026b,\u028c\u028b,\u028d\u028e\u028a\u028c,\u028f\u0290\u00f3\u021b,\u0291\u0290,\u0292\u0293\u028f\u0291,\u0294\u0295\u0292\u0118,\u0296\u0295,\u0297\u0298\u0294\u0296,\u0299\u029a\u0297\u022a,\u029b\u029a,\u029c\u029d\u0299\u029b,\u029e\u029f\u029c\u01b7,\u02a0\u029f,\u02a1\u02a2\u029e\u02a0,\u02a3\u02a4\u02a1\u023e,\u02a5\u02a4,\u02a6\u02a7\u02a3\u02a5,\u02a8\u02a9\u0293\u0252,\u02aa\u02a9,\u02ab\u02ac\u02a8\u02aa,\u02ad\u02ae\u02ac\u0239,\u02af\u02ae,\u02b0\u02b1\u02ad\u02af,\u02b2\u02b3\u027f\u00f6,\u02b4\u02b3,\u02b5\u02b6\u02b2\u02b4,\u02b7\u02b8\u02b5\u0284,\u02b9\u02b8,\u02ba\u02bb\u02b7\u02b9,\u02bc\u02bd\u018a\u0234,\u02be\u02bd,\u02bf\u02c0\u02bc\u02be,\u02c1\u02c2\u02bf\u0243,\u02c3\u02c2,\u02c4\u02c5\u02c1\u02c3,\u02c6\u02c7\u02c0\u02a2,\u02c8\u02c7,\u02c9\u02ca\u02c6\u02c8,\u02cb\u02cc\u02c9\u01da,\u02cd\u02cc,\u02ce\u02cf\u02cb\u02cd,\u02d0\u02d1\u01fd\u0135,\u02d2\u02d1,\u02d3\u02d4\u02d0\u02d2,\u02d5\u02d6\u02d3\u0114,\u02d7\u02d6,\u02d8\u02d9\u02d5\u02d7,\u02da\u02db\u00fb\u02cf,\u02dc\u02db,\u02dd\u02de\u02da\u02dc,\u02df\u02e0\u02dd\u0248,\u02e1\u02e0,\u02e2\u02e3\u02df\u02e1,\u02e4\u02e5\u02e2\u00f0,\u02e6\u02e5,\u02e7\u02e8\u02e4\u02e6,\u02e9\u02ea\u02e7\u02b6,\u02eb\u02ea,\u02ec\u02ed\u02e9\u02eb,\u02ee\u02ef\u02ec\u0298,\u02f0\u02ef,\u02f1\u02f2\u02ee\u02f0,\u02f3\u02f4\u02de\u02ca,\u02f5\u02f4,\u02f6\u02f7\u02f3\u02f5,\u02f8\u02f9\u02f6\u01e9,\u02fa\u02f9,\u02fb\u02fc\u02f8\u02fa,\u02fd\u02fe\u02d9\u0261,\u02ff\u02fe,\u0300\u0301\u02fd\u02ff,\u0302\u0303\u0300\u029d,\u0304\u0303,\u0305\u0306\u0302\u0304,\u0307\u0308\u0305\u01df,\u0309\u0308,\u030a\u030b\u0307\u0309,\u030c\u030d\u030a\u02f7,\u030e\u030d,\u030f\u0310\u030c\u030e,\u0311\u0312\u0301\u02e8,\u0313\u0312,\u0314\u0315\u0311\u0313,\u0316\u0317\u0314\u0306,\u0318\u0317,\u0319\u031a\u0316\u0318,\u031b\u031c\u02f2\u0211,\u031d\u031c,\u031e\u031f\u031b\u031d,\u0320\u0321\u031e\u02ed,\u0322\u0321,\u0323\u0324\u0320\u0322,\u0325\u0326\u0323\u02bb,\u0327\u0326,\u0328\u0329\u0325\u0327,\u032a\u032b\u0167\u0266,\u032c\u032b,\u032d\u032e\u032a\u032c,\u032f\u0330\u032d\u0275,\u0331\u0330,\u0332\u0333\u032f\u0331,\u0334\u0335\u0332\u0324,\u0336\u0335,\u0337\u0338\u0334\u0336,\u0339\u033a\u0337\u0289,\u033b\u033a,\u033c\u033d\u0339\u033b,\u033e\u033f\u032e\u02b1,\u0340\u033f,\u0341\u0342\u033e\u0340,\u0343\u0344\u031f\u028e,\u0345\u0344,\u0346\u0347\u0343\u0345,\u0348\u0349\u0346\u02c5,\u034a\u0349,\u034b\u034c\u0348\u034a,\u034d\u034e\u0315\u02d4,\u034f\u034e,\u0350\u0351\u034d\u034f,\u0352\u0353\u0350\u0347,\u0354\u0353,\u0355\u0356\u0352\u0354,\u0357\u0358\u0355\u02e3,\u0359\u0358,\u035a\u035b\u0357\u0359,\u035c\u035d\u0351\u02a7,\u035e\u035d,\u035f\u0360\u035c\u035e,\u0361\u0362\u035f\u034c,\u0363\u0362,\u0364\u0365\u0361\u0363,\u0366\u0367\u035b\u02fc,\u0368\u0367,\u0369\u036a\u0366\u0368,\u036b\u036c\u0329\u0342,\u036d\u036c,\u036e\u036f\u036b\u036d,\u0370\u0371\u0365\u0360,\u0372\u0371,\u0373\u0374\u0370\u0372,\u0375\u0376\u0338\u030b,\u0377\u0376,\u0378\u0379\u0375\u0377,\u037a\u037b\u031a\u01ad,\u037c\u037b,\u037d\u037e\u037a\u037c,\u037f\u0380\u0379\u033d,\u0381\u0380,\u0382\u0383\u037f\u0381,\u0384\u0385\u0382\u037e,\u0386\u0385,\u0387\u0388\u0384\u0386,\u0389\u038a\u0383\u0333,\u038b\u038a,\u038c\u038d\u0389\u038b,\u038e\u038f\u0388\u038d,\u0390\u038f,\u0391\u0392\u038e\u0390,a\u035a,b\u021a,c\u023d,d\u02a6,e\u0189,f\u01b6,g\u0378,h\u0391,i\u01de,j\u0139,k\u0392,l\u02f1,m\u0364,n\u0374,o\u02c4,p\u036e,q\u038c,r\u0229,s\u02ce,t\u02b0,u\u0279,v\u0175,w\u0247,x\u0356,y\u02ab,z\u0310,A\u014d,B\u02d8,C\u0206,D\u0341,E\u0387,F\u01ca,G\u037d,H\u0373,I\u0260,J\u0369,K\u030f,L\u033c,M\u036a,N\u0319,O\u0328,P\u019d,Q\u02fb,R\u036f,S\u01f2,T\u02ba,U\u026a,V\u0161,W\u028d,X\u034b->", 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Raw
oe_sample_MAXCUT_n50_reg5_seed1.json
{"eq": 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u0256\u023e,\u025a\u0259,\u025b\u025c\u0258\u025a,\u025d\u025e\u01f3\u0252,\u025f\u025e,\u0260\u0261\u025d\u025f,\u0262\u0263\u0260\u0112,\u0264\u0263,\u0265\u0266\u0262\u0264,\u0267\u0268\u0265\u010b,\u0269\u0268,\u026a\u026b\u0267\u0269,\u026c\u026d\u0261\u0171,\u026e\u026d,\u026f\u0270\u026c\u026e,\u0271\u0272\u026f\u025c,\u0273\u0272,\u0274\u0275\u0271\u0273,\u0276\u0277\u0274\u01df,\u0278\u0277,\u0279\u027a\u0276\u0278,\u027b\u027c\u0266\u013a,\u027d\u027c,\u027e\u027f\u027b\u027d,\u0280\u0281\u027e\u020c,\u0282\u0281,\u0283\u0284\u0280\u0282,\u0285\u0286\u0283\u016c,\u0287\u0286,\u0288\u0289\u0285\u0287,\u028a\u028b\u0288\u01e4,\u028c\u028b,\u028d\u028e\u028a\u028c,\u028f\u0290\u027f\u0106,\u0291\u0290,\u0292\u0293\u028f\u0291,\u0294\u0295\u0292\u028e,\u0296\u0295,\u0297\u0298\u0294\u0296,\u0299\u029a\u0297\u018a,\u029b\u029a,\u029c\u029d\u0299\u029b,\u029e\u029f\u0207\u01ee,\u02a0\u029f,\u02a1\u02a2\u029e\u02a0,\u02a3\u02a4\u02a1\u0199,\u02a5\u02a4,\u02a6\u02a7\u02a3\u02a5,\u02a8\u02a9\u01b2\u0298,\u02aa\u02a9,\u02ab\u02ac\u02a8\u02aa,\u02ad\u02ae\u02ab\u02a7,\u02af\u02ae,\u02b0\u02b1\u02ad\u02af,\u02b2\u02b3\u02b0\u0284,\u02b4\u02b3,\u02b5\u02b6\u02b2\u02b4,\u02b7\u02b8\u02b5\u00fd,\u02b9\u02b8,\u02ba\u02bb\u02b7\u02b9,\u02bc\u02bd\u02ac\u0289,\u02be\u02bd,\u02bf\u02c0\u02bc\u02be,\u02c1\u02c2\u0180\u0162,\u02c3\u02c2,\u02c4\u02c5\u02c1\u02c3,\u02c6\u02c7\u02c4\u0243,\u02c8\u02c7,\u02c9\u02ca\u02c6\u02c8,\u02cb\u02cc\u02c9\u026b,\u02cd\u02cc,\u02ce\u02cf\u02cb\u02cd,\u02d0\u02d1\u02ce\u0216,\u02d2\u02d1,\u02d3\u02d4\u02d0\u02d2,\u02d5\u02d6\u01bc\u0257,\u02d7\u02d6,\u02d8\u02d9\u02d5\u02d7,\u02da\u02db\u02d8\u01d0,\u02dc\u02db,\u02dd\u02de\u02da\u02dc,\u02df\u02e0\u02dd\u02a2,\u02e1\u02e0,\u02e2\u02e3\u02df\u02e1,\u02e4\u02e5\u02d9\u0220,\u02e6\u02e5,\u02e7\u02e8\u02e4\u02e6,\u02e9\u02ea\u01f8\u01c1,\u02eb\u02ea,\u02ec\u02ed\u02e9\u02eb,\u02ee\u02ef\u02ec\u02cf,\u02f0\u02ef,\u02f1\u02f2\u02ee\u02f0,\u02f3\u02f4\u02ed\u0293,\u02f5\u02f4,\u02f6\u02f7\u02f3\u02f5,\u02f8\u02f9\u02f6\u02b6,\u02fa\u02f9,\u02fb\u02fc\u02f8\u02fa,\u02fd\u02fe\u02fb\u0202,\u02ff\u02fe,\u0300\u0301\u02fd\u02ff,\u0302\u0303\u02e3\u02b1,\u0304\u0303,\u0305\u0306\u0302\u0304,\u0307\u0308\u0305\u0176,\u0309\u0308,\u030a\u030b\u0307\u0309,\u030c\u030d\u01b7\u02f2,\u030e\u030d,\u030f\u0310\u030c\u030e,\u0311\u0312\u030f\u027a,\u0313\u0312,\u0314\u0315\u0311\u0313,\u0316\u0317\u0314\u02e8,\u0318\u0317,\u0319\u031a\u0316\u0318,\u031b\u031c\u0319\u02de,\u031d\u031c,\u031e\u031f\u031b\u031d,\u0320\u0321\u0310\u02f7,\u0322\u0321,\u0323\u0324\u0320\u0322,\u0325\u0326\u02d4\u031a,\u0327\u0326,\u0328\u0329\u0325\u0327,\u032a\u032b\u0328\u0306,\u032c\u032b,\u032d\u032e\u032a\u032c,\u032f\u0330\u0329\u030b,\u0331\u0330,\u0332\u0333\u032f\u0331,\u0334\u0335\u0324\u0248,\u0336\u0335,\u0337\u0338\u0334\u0336,\u0339\u033a\u0337\u0234,\u033b\u033a,\u033c\u033d\u0339\u033b,\u033e\u033f\u0338\u02bb,\u0340\u033f,\u0341\u0342\u033e\u0340,\u0343\u0344\u0341\u0301,\u0345\u0344,\u0346\u0347\u0343\u0345,\u0348\u0349\u0346\u02ca,\u034a\u0349,\u034b\u034c\u0348\u034a,\u034d\u034e\u0342\u0315,\u034f\u034e,\u0350\u0351\u034d\u034f,\u0352\u0353\u0350\u022a,\u0354\u0353,\u0355\u0356\u0352\u0354,\u0357\u0358\u0355\u0270,\u0359\u0358,\u035a\u035b\u0357\u0359,\u035c\u035d\u033d\u0275,\u035e\u035d,\u035f\u0360\u035c\u035e,\u0361\u0362\u035f\u031f,\u0363\u0362,\u0364\u0365\u0361\u0363,\u0366\u0367\u034c\u0356,\u0368\u0367,\u0369\u036a\u0366\u0368,\u036b\u036c\u036a\u029d,\u036d\u036c,\u036e\u036f\u036b\u036d,\u0370\u0371\u036e\u02c0,\u0372\u0371,\u0373\u0374\u0370\u0372,\u0375\u0376\u0347\u0365,\u0377\u0376,\u0378\u0379\u0375\u0377,\u037a\u037b\u0360\u0333,\u037c\u037b,\u037d\u037e\u037a\u037c,\u037f\u0380\u02c5\u02fc,\u0381\u0380,\u0382\u0383\u037f\u0381,\u0384\u0385\u0382\u035b,\u0386\u0385,\u0387\u0388\u0384\u0386,\u0389\u038a\u036f\u0388,\u038b\u038a,\u038c\u038d\u0389\u038b,\u038e\u038f\u038c\u037e,\u0390\u038f,\u0391\u0392\u038e\u0390,a\u02f1,b\u032e,c\u031e,d\u02ba,e\u01bb,f\u0166,g\u020b,h\u030a,i\u02a6,j\u0139,k\u0387,l\u0279,m\u0364,n\u035a,o\u02e2,p\u018e,q\u01e3,r\u0300,s\u02e7,t\u032d,u\u01a2,v\u0369,w\u033c,x\u0391,y\u037d,z\u0379,A\u014d,B\u0323,C\u01f7,D\u0224,E\u02d3,F\u0175,G\u0392,H\u024c,I\u028d,J\u0215,K\u01cf,L\u0383,M\u0351,N\u0332,O\u0374,P\u025b,Q\u0378,R\u0373,S\u0233,T\u02bf,U\u029c,V\u026a,W\u034b,X\u038d->", 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Raw
oe_sample_MAXCUT_n50_reg5_seed2.json
{"eq": 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u0256\u01b2,\u025a\u0259,\u025b\u025c\u0258\u025a,\u025d\u025e\u0248\u011d,\u025f\u025e,\u0260\u0261\u025d\u025f,\u0262\u0263\u0260\u01f3,\u0264\u0263,\u0265\u0266\u0262\u0264,\u0267\u0268\u0265\u01bc,\u0269\u0268,\u026a\u026b\u0267\u0269,\u026c\u026d\u01e4\u0252,\u026e\u026d,\u026f\u0270\u026c\u026e,\u0271\u0272\u026f\u010e,\u0273\u0272,\u0274\u0275\u0271\u0273,\u0276\u0277\u0274\u0261,\u0278\u0277,\u0279\u027a\u0276\u0278,\u027b\u027c\u01d0\u022f,\u027d\u027c,\u027e\u027f\u027b\u027d,\u0280\u0281\u027e\u0176,\u0282\u0281,\u0283\u0284\u0280\u0282,\u0285\u0286\u0283\u01e9,\u0287\u0286,\u0288\u0289\u0285\u0287,\u028a\u028b\u0288\u024d,\u028c\u028b,\u028d\u028e\u028a\u028c,\u028f\u0290\u027f\u00fd,\u0291\u0290,\u0292\u0293\u028f\u0291,\u0294\u0295\u0292\u0234,\u0296\u0295,\u0297\u0298\u0294\u0296,\u0299\u029a\u0297\u01a8,\u029b\u029a,\u029c\u029d\u0299\u029b,\u029e\u029f\u020c\u016c,\u02a0\u029f,\u02a1\u02a2\u029e\u02a0,\u02a3\u02a4\u02a1\u0289,\u02a5\u02a4,\u02a6\u02a7\u02a3\u02a5,\u02a8\u02a9\u02a6\u0102,\u02aa\u02a9,\u02ab\u02ac\u02a8\u02aa,\u02ad\u02ae\u02ab\u0266,\u02af\u02ae,\u02b0\u02b1\u02ad\u02af,\u02b2\u02b3\u02a2\u01fd,\u02b4\u02b3,\u02b5\u02b6\u02b2\u02b4,\u02b7\u02b8\u02b5\u0270,\u02b9\u02b8,\u02ba\u02bb\u02b7\u02b9,\u02bc\u02bd\u02ba\u019e,\u02be\u02bd,\u02bf\u02c0\u02bc\u02be,\u02c1\u02c2\u0239\u00f1,\u02c3\u02c2,\u02c4\u02c5\u02c1\u02c3,\u02c6\u02c7\u0211\u025c,\u02c8\u02c7,\u02c9\u02ca\u02c6\u02c8,\u02cb\u02cc\u02c9\u00f6,\u02cd\u02cc,\u02ce\u02cf\u02cb\u02cd,\u02d0\u02d1\u02ce\u028e,\u02d2\u02d1,\u02d3\u02d4\u02d0\u02d2,\u02d5\u02d6\u02ca\u015d,\u02d7\u02d6,\u02d8\u02d9\u02d5\u02d7,\u02da\u02db\u02d8\u02ac,\u02dc\u02db,\u02dd\u02de\u02da\u02dc,\u02df\u02e0\u02a7\u02cf,\u02e1\u02e0,\u02e2\u02e3\u02df\u02e1,\u02e4\u02e5\u023e\u029d,\u02e6\u02e5,\u02e7\u02e8\u02e4\u02e6,\u02e9\u02ea\u02e7\u0284,\u02eb\u02ea,\u02ec\u02ed\u02e9\u02eb,\u02ee\u02ef\u02ec\u0275,\u02f0\u02ef,\u02f1\u02f2\u02ee\u02f0,\u02f3\u02f4\u02e8\u02c5,\u02f5\u02f4,\u02f6\u02f7\u02f3\u02f5,\u02f8\u02f9\u02f6\u0293,\u02fa\u02f9,\u02fb\u02fc\u02f8\u02fa,\u02fd\u02fe\u0257\u0298,\u02ff\u02fe,\u0300\u0301\u02fd\u02ff,\u0302\u0303\u0300\u02d9,\u0304\u0303,\u0305\u0306\u0302\u0304,\u0307\u0308\u0305\u02ed,\u0309\u0308,\u030a\u030b\u0307\u0309,\u030c\u030d\u0301\u0207,\u030e\u030d,\u030f\u0310\u030c\u030e,\u0311\u0312\u030f\u022a,\u0313\u0312,\u0314\u0315\u0311\u0313,\u0316\u0317\u02bb\u02b1,\u0318\u0317,\u0319\u031a\u0316\u0318,\u031b\u031c\u02fc\u0243,\u031d\u031c,\u031e\u031f\u031b\u031d,\u0320\u0321\u031e\u0144,\u0322\u0321,\u0323\u0324\u0320\u0322,\u0325\u0326\u0323\u02f7,\u0327\u0326,\u0328\u0329\u0325\u0327,\u032a\u032b\u0310\u01c1,\u032c\u032b,\u032d\u032e\u032a\u032c,\u032f\u0330\u032d\u02e3,\u0331\u0330,\u0332\u0333\u032f\u0331,\u0334\u0335\u032e\u02f2,\u0336\u0335,\u0337\u0338\u0334\u0336,\u0339\u033a\u0337\u0315,\u033b\u033a,\u033c\u033d\u0339\u033b,\u033e\u033f\u02d4\u0324,\u0340\u033f,\u0341\u0342\u033e\u0340,\u0343\u0344\u0341\u031a,\u0345\u0344,\u0346\u0347\u0343\u0345,\u0348\u0349\u0342\u033d,\u034a\u0349,\u034b\u034c\u0348\u034a,\u034d\u034e\u034b\u02de,\u034f\u034e,\u0350\u0351\u034d\u034f,\u0352\u0353\u02b6\u027a,\u0354\u0353,\u0355\u0356\u0352\u0354,\u0357\u0358\u0355\u0338,\u0359\u0358,\u035a\u035b\u0357\u0359,\u035c\u035d\u035a\u0351,\u035e\u035d,\u035f\u0360\u035c\u035e,\u0361\u0362\u031f\u02c0,\u0363\u0362,\u0364\u0365\u0361\u0363,\u0366\u0367\u0364\u01b7,\u0368\u0367,\u0369\u036a\u0366\u0368,\u036b\u036c\u0365\u0356,\u036d\u036c,\u036e\u036f\u036b\u036d,\u0370\u0371\u0329\u0306,\u0372\u0371,\u0373\u0374\u0370\u0372,\u0375\u0376\u0373\u0360,\u0377\u0376,\u0378\u0379\u0375\u0377,\u037a\u037b\u036a\u036f,\u037c\u037b,\u037d\u037e\u037a\u037c,\u037f\u0380\u037d\u030b,\u0381\u0380,\u0382\u0383\u037f\u0381,\u0384\u0385\u0374\u026b,\u0386\u0385,\u0387\u0388\u0384\u0386,\u0389\u038a\u0388\u0333,\u038b\u038a,\u038c\u038d\u0389\u038b,\u038e\u038f\u035b\u038d,\u0390\u038f,\u0391\u0392\u038e\u0390,a\u022e,b\u0378,c\u02b0,d\u0347,e\u01e3,f\u01c0,g\u0392,h\u0233,i\u02f1,j\u020b,k\u0346,l\u02d3,m\u034c,n\u0328,o\u030a,p\u02fb,q\u035f,r\u02e2,s\u0379,t\u038c,u\u0383,v\u0166,w\u0332,x\u025b,y\u0350,z\u0193,A\u026a,B\u02dd,C\u028d,D\u0369,E\u0391,F\u01a7,G\u0242,H\u0387,I\u0279,J\u029c,K\u01f2,L\u036e,M\u02c4,N\u0139,O\u0382,P\u021a,Q\u02bf,R\u0314,S\u01d4,T\u037e,U\u014d,V\u017a,W\u033c,X\u0319->", 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