From 12263d555b77727d5ed909c47da4fc4f82136774 Mon Sep 17 00:00:00 2001 From: bartandrews Date: Fri, 8 Nov 2024 09:39:27 +0100 Subject: [PATCH] remove decimal_places argument of from_molecular_hamiltonian --- docs/how-to-guides/lucj_mps.ipynb | 95 ++++++------------- .../hamiltonians/molecular_hamiltonian.py | 22 +---- 2 files changed, 31 insertions(+), 86 deletions(-) diff --git a/docs/how-to-guides/lucj_mps.ipynb b/docs/how-to-guides/lucj_mps.ipynb index 2c998f449..c7020637d 100644 --- a/docs/how-to-guides/lucj_mps.ipynb +++ b/docs/how-to-guides/lucj_mps.ipynb @@ -34,23 +34,29 @@ "output_type": "stream", "text": [ "converged SCF energy = -77.8266321248745\n", - "Parsing /tmp/tmp1e4pf6nc\n", - "converged SCF energy = -77.8266321248744\n", - "CASCI E = -77.8742165643863 E(CI) = -4.02122442107772 S^2 = 0.0000000\n", - "norb = 4\n", - "nelec = (2, 2)\n" + "Parsing /tmp/tmp310svyd6\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "Overwritten attributes get_hcore get_ovlp of \n", + "Overwritten attributes get_ovlp get_hcore of \n", "/home/bart/PycharmProjects/ffsim/.ffsim_dev/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute energy_nuc because it is not JSON-serializable\n", " warnings.warn(msg)\n", "/home/bart/PycharmProjects/ffsim/.ffsim_dev/lib/python3.12/site-packages/pyscf/gto/mole.py:1294: UserWarning: Function mol.dumps drops attribute intor_symmetric because it is not JSON-serializable\n", " warnings.warn(msg)\n" ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "converged SCF energy = -77.8266321248745\n", + "CASCI E = -77.8742165643863 E(CI) = -4.02122442107773 S^2 = 0.0000000\n", + "norb = 4\n", + "nelec = (2, 2)\n" + ] } ], "source": [ @@ -117,17 +123,17 @@ }, "outputs": [ { - "name": "stdout", + "name": "stderr", "output_type": "stream", "text": [ - "E(CCSD) = -77.87421536374035 E_corr = -0.04758323886585367\n" + " does not have attributes converged\n" ] }, { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - " does not have attributes converged\n" + "E(CCSD) = -77.87421536374035 E_corr = -0.04758323886585392\n" ] } ], @@ -184,7 +190,7 @@ "text": [ "original Hamiltonian type = \n", "converted Hamiltonian type = \n", - "maximum MPO bond dimension = 58\n" + "maximum MPO bond dimension = 54\n" ] } ], @@ -200,55 +206,6 @@ "print(\"maximum MPO bond dimension = \", max(hamiltonian_mpo.chi))" ] }, - { - "cell_type": "markdown", - "id": "3fd02a8e-5675-4010-b24b-41259303e16c", - "metadata": {}, - "source": [ - "Optionally, we can pass the `decimal_places` argument to the `from_molecular_hamiltonian` method, which rounds the precision of the input one-body and two-body tensors. This reduces the MPO bond dimension at the expense of simulation accuracy." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "501c1a64-576d-48c9-9018-5e2053adddd5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "from matplotlib.ticker import MaxNLocator\n", - "\n", - "dp_list = np.arange(1, 16, dtype=int)\n", - "chi_list = []\n", - "for dp in dp_list:\n", - " hamiltonian_mpo_model = MolecularHamiltonianMPOModel.from_molecular_hamiltonian(\n", - " mol_hamiltonian, decimal_places=dp\n", - " )\n", - " hamiltonian_mpo = hamiltonian_mpo_model.H_MPO\n", - " chi_list.append(max(hamiltonian_mpo.chi))\n", - "\n", - "fig = plt.figure()\n", - "ax = plt.subplot(111)\n", - "ax.plot(dp_list, chi_list, \".-\")\n", - "ax.set_xlabel(\"precision of one-body and two-body tensors / decimal places\")\n", - "ax.set_ylabel(\"maximum MPO bond dimension\")\n", - "ax.xaxis.set_major_locator(MaxNLocator(integer=True))\n", - "ax.grid(visible=True)\n", - "plt.show()" - ] - }, { "cell_type": "markdown", "id": "ad645d3446decfa8", @@ -271,7 +228,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "id": "e9d8e1b09ee778c2", "metadata": { "ExecuteTime": { @@ -294,6 +251,8 @@ } ], "source": [ + "import numpy as np\n", + "\n", "from ffsim.tenpy.circuits.lucj_circuit import lucj_circuit_as_mps\n", "\n", "options = {\"trunc_params\": {\"chi_max\": 15, \"svd_min\": 1e-6}}\n", @@ -323,7 +282,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "id": "a6a7d85060f3d8a2", "metadata": { "ExecuteTime": { @@ -336,9 +295,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "LUCJ (MPS) energy = -77.77102667787551\n", + "LUCJ (MPS) energy = -77.77526490518737\n", "LUCJ energy = -77.84651018653345\n", - "FCI energy = -77.87421656438627\n" + "FCI energy = -77.8742165643863\n" ] } ], @@ -380,13 +339,13 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "id": "bf98d538-c182-4ede-917f-1eed31969c9a", "metadata": {}, "outputs": [ { "data": { - "image/png": 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tmCRiQjOHo78kyHSCItWe/rc8VmObwRNnk35kHd1Mp4j+9EWGz3y9maMUAkwmE7NmzWL27NlEREQwZcoUysvLsbW1rXcfZ86c4ZlnnuHDDz+s9zWenp54erbMtQjh4eH1nrootHH99dezZ8+eZrufT7f+GFWl2r5Z3e5eLiNTosVp7Mici5snLgOvgYHXVHuuvKyUsyeOkX3qKMUZv6Fmp2Kfn457yWl8jecwKKVVpzxClXL+gw++QEbEBPn/pR2RRExopvynNQAc8h5LRC0jXTa2dmQPW0C3nx4n9NRmzp/5a4NK94qWy9FWz5EXq3/aWJdzuSVEvvo9pks+dNcp8N28UXR0q3+FK0fbhlXhXLVqFVlZWbz44oukpaZSXl5Owr7/MWTUuHpX9PTz82tQEgZNNzXR29sbvV5PRkZGlfMZGRl07FjfVTjiatSnsuXVVrVsbrUWY5A/KkU7YWtnj3+vIPx7BVV77s8pj0cpOHsMft/D0LxvqrSxUUxkpac0eyJWUlTA8ZU3A9Bz7g4cDM7Nev/2TBIxoYmz6UcZWPAjKNAxsu4SuqGR95KyfzV9y49w6LPn8Hnig2aKUjQlRVEaPD2wh48zyycF8+x/kjCqKnpFYdmkIHr4NN2bxunTp3n++ef56KOPcHJyolfvXtjb2/FbymEGj7qFtLQ0Jk6cSFBQELGxsURGRhIVFcXy5cspLCxk69at9O7dm7S0NO68804+++wzJk6cSGhoKLGxsQwcOJCPP/64xjVrTTU10c7OjiFDhrBz507LH/8mk4mdO3cye/bsBvcnGu5KlS2tUdVSC1IkQ4iaVZ3yOIaMUzdjXPtttRFk7259mz02k8nIgLJDABSZGr52WzSeJGJCE2k73qSTopJkH0pQvyF1tlV0Ooh8Af53F0MufEH60QS6BYY2T6CixZk8tCsj+/iQllVEgLehyasmPvHEE4wdO5Zx48YBYGNjQ79e3UlK+Y3KFCk5OZlPPvmEXr16ERQUhLOzMzExMbz99tu8+eabvP561Sm1ycnJfPTRR/Tr14/Ro0fzww8/MGLEiGr3buzUxIKCAn777TfL49TUVBISEvD09LSMns2bN4+pU6cSFhZGeHg4K1eupLCw0FJFUTStK1W2tGZVy/ooLS2ltLTU8jgvL6/RfUmRDCGurHIEOezgYnSKikmFzR3+ygPy/0670vrqa4pWr6SogH5n/wNA+ZCZ9bqmb8QYfjFcg15Ryf782aYMT7QCndwcGd7Tq8mTsC+++IJdu3ZVS6SC+/Yi6ehxy+PAwEACAwPR6/X069ePyMhIc7vgYNLS0qr1GxgYSP/+/VEUhUGDBtXY5mocOHCAQYMGMWjQIMCcdA0aNIiFCxda2kyePJkVK1awcOFCQkNDSUhIYMeOHbIPWAtQWdWy8r8jaHhVy4Zavnw5bm5ulqNLl4aVBRdCNFz4HXPJH/0iAHGmPrydfx1GU/WCN6LtkkRMNLtDO9bhTgFnlA4MvOGeel/nOWEJRlVhUNGPpMR8c+ULhLhK48eP5+LFi9XWTb33xj/4fMNrlsf29n/uvKLT6SyPdTodRmP1aR6Xttfr9TW2uRrXX3+9pZrhpcfGjRurtJs9ezbp6emUlpYSExNDRESEVeMQjVNXVctz587Vu5/IyEjuuusuvvrqK/z9/etM4hYsWEBubq7lOHlSSlkL0Rzcug8FoJM+h9M5xexKydQ4ItGcZGqiaFaqyYTn4Y0AnOjxF/xs6v+fYLd+Q4j1HEf4xS9Qv1uEOjSyVW6aKIQQzeG7776rd1t7e/sqHxAIIZqJRzcAOikX0GPkveg0buovMxPaC/krVjSrlP3f0tP4OyWqLX3H1lyyvi4Bdy6hWLWjX/kREr7b3AQRCiGEtqSqpRDtiHNH0NmiV410VC6y71gWqVmFV75OtAmSiIlmVbTvLQAOeo7B3bvhf1B06NydhM5/AcDz539SUV5m1fiEqA+jqmBUzVUOAwICOHDggOW5zz77jOuvvx6AYcOG8cUXX1Rpd3n7FStWMG3atGaLXbR8l1a1rFRZ1XL48OEaRiaEsDqdDtzNazIndDX/TfPBz+nNHkaRak+RKqPizU0SMdFsMk+nEpK/FwCvG+ouWV+XAXcvIgdnuplOEr99tbXCE6Je9Hob9J1DzYdeZneLxikoKCAhIcFS+bCysuWJEycAc4GVtWvXsmnTJpKTk3n00UelqqUQbZW7eXrixADzeuFPD5ykuKz5ysgbnN0wvJBpPpzdmu2+QhIx0Yx+/98qbBQTR2yD6Bk8rNH9uLp7kdJ7FgABh96guDDfWiEKIUSzuFJlS6lqKUQ74m7eViTQ4SJdPB3JK6lge+JpjYMSzUESMdEsSkuK6H3qMwCKBz101f0NuuNpzuJDB7JJ+Gz5VfcnhBDNqT6VLaWqpRDtxB+JmC73JFMizKNj70Wno6pSyr6tk0RMNItD32zCi1wy8WRg5L1X3Z+9g4HTg58CIOj39Vw8f/aq+xSiPkwmI0Vnf6Xo7K+YTM03dUQIIUQb9cfURC6mc3dYF+xtdBw+k0f8iZxmuX1JcSGJL91E4ks3UVIshUKakyRiolm4HlwPwPGAydjaWWcx6OBxD3Nc3wMXpZijny22Sp9CXImqqhjUQgxqoXxaKYQQ4ur9UcKenBN4ONkxIcQPaL6iHSZjBSHFsYQUx2IyVjTLPYWZJGKiyf0av4c+Fb9SptrQZ+xsq/Wr0+spGvk8AIPPfcaZtKNW61sIIYQQoln8MTWRvNNgrOD+YebE7MuDZ8kqKNUwMNHUJBETTS5vz5sAJLrfiJevv1X7DhpxG0n2odgpFZz5z/+zat9CCCGEEE3OqQPo7UE1Qt4pQrq4E+LvRpnRxJb9J7WOTjQhScREk8o6d5KBubsAcL/eeqNhlRSdDvuxSwAYnPsdxw/+ZPV7CCGEEEI0GZ3uz1GxHPMWFvcPDwBgc8wJjCaZBt9WSSImmtSx/72JnWLkqE1feg8a2ST36B06gjiXG9ApKoVfPdck9xBCCCGEaDKXJWLjB3bC3WDL6ZxidqVkahiYaEqSiIkmU15WSs/0TwDIH9i0m5B2vH0ZZaqegSVxHNr7eZPeSwghhBDCqi5LxBxs9UwO6wLAe9FpGgUlmpokYqLJHPz2fTqQTRbuDIya1qT36tyjH/EdJgHg+P0LmIxSVlyIxsrJySEsLIzQ0FCCgoJYu3at1iEJIUTbVpmIXfyzUuKUYd1QFNh3LIvULCkr3xZJIiaajCFhHQDHutyJnb1Dk9+vz10vUKA60st4nPgd65v8fqJ90uttwG8Q+A0yf90Gubi4sHfvXhISEoiJiWHZsmVcuHBB67CEEKLtuqSEfaUungZGB3YAmraUvcHZDRbnwuJc89ei2UgiJprEb4k/0q/8COWqnl5j5zTLPT07dOZQwFQAOh14mbLSkma5rxBN6cKFC3To0IG0tLRmu6der8dgMABQWlqKqqpV9ky75557eOWVV5otHiGEaPPcqydigKWU/acHTlJcJrN92hpJxESTyN5tLll/0HUUPn4BzXbfkLueJQt3OqsZxP9H/lAUrd/SpUuZOHEiAQEBAOzdu5cJEybg5+eHoihs27atxutWr15NQEAADg4OREREEBsb26D75uTkEBISgr+/P8888wze3t6W55577jmWLl1Kbm5uY1+WEEKIS126l1hFmeX0qD4+dPU0kFdSwfbE0xoFJ5qKJGLC6nKyzjHw4rcAOI14rFnvbXB24/gA8whc4NE15OdmN+v9RdtnMhkpPHeMwnPHMJma9tPJoqIi1q1bx4wZMyznCgsLCQkJYfXq1bVet2XLFubNm8eiRYuIj48nJCSEqKgoMjP/rLxVuf7r8uPMmTMAuLu7k5iYSGpqKps3byYjI8NybVBQED179uSDDz5oglcthBDtkJMP2DgCKuSdspzW6RSmDDMnae9Fp1eZnWAtJcWFxK+YQPyKCZQUy1q05iSJmLC65K9W46CU85u+J4FhNzb7/QdPnMNJxQ8P8kj69B/Nfn/R9tx11134+PjwzjvvoKoqTqYCkg5E4+DgyDfffNNk9/3qq6+wt7dn2LBhlnNjx45lyZIl3H777bVe9+qrrzJz5kymT59O//79WbNmDQaDgfXr/1w7mZCQQFJSUrXDz8+vSl++vr6EhISwb9++KucnTJjAxx9/bKVXKoQQ7ZyiVKucWOmuIV2wt9Fx+Ewe8SdyrH5rk7GCwQV7GVywF5Oxwur9i9pJIiasqqK8jO6/fwRAdtB0FF3z/ydma2dP1rD5AISc/JCsM023wFW0D2+88QZ33HEHL774IgAFhUVMmfMcjzwyizFjxjTZffft28eQIUMadE1ZWRlxcXFERkZazul0OiIjI4mOjq5XHxkZGeTn5wOQm5vL3r17CQwMrNImPDyc2NhYSktLGxSfEEKIWtSSiHk42TEhxPwhWVMW7RDNTxIxYVUHd22hI+e5iCsDb35QszhCb7qfozZ9MSilHP/385rFIa6sqKyi1qOk3Gj1to3RqVMn5s6dy+nTp7lw4QJPPP9/2NvbsXz58ka/7vpIT0+vNkJ1JVlZWRiNRnx9fauc9/X15dy5c/W+74gRIwgJCWHEiBHMmTOH4ODgKm38/PwoKyurd59CCCGuoIYS9pUeGG4u2vHlwbNkFcgHYG1F26y9LDRjH2febyjF73aGOzppFoei02GMfAF2TGZI1n858WsCXfuEahaPqF3/hV/X+tzoQB82TA+3PB7yj+8oLq95XVZEd0+2zBpueXzdS7vJLiyr1i7tn+MaFWefPn0wGAwsXryYD7f+j9gv3sfBoWm3ZSguLm7ye9QkPDychISEOts4OjoC5nVsQgghrKCGEvaVBvq7E+LvRuKpXLbsP8njo3s1c3CiKciImLCa1CP7GVCWiFFV6D72Ca3Dof+wm0kwDMdGMZH1+XNahyNaOZ1OR3BwMP/61xqW/O0xQgb0afJ7ent7c/HixQZfo9frqxTXAPN0w44dO1ottuxscyEcHx8fq/UphBDtWi1TEyvdPzwAgM0xJzCarF+0QzQ/GRETVpO5cxXdgUTn6xjcpWV8UuM+YQnGjyMZXLiPlP3f0Xdo5JUvEs3qyItRtT6nU5Qqj+Oer/3nd3nbH/4++uoCu0xlparBgwfx1Kz7LefT0tKYOHEiQUFBxMbGEhkZSVRUFMuXL6ewsJCtW7fSu3dvAMaPH8/Zs2cpLS1lwYIF3HfffURHR/Pkk0/y008/ceHCBa677jr27dtHx44dGTRoUIMrE9rZ2TFkyBB27tzJbbfdBoDJZGLnzp3Mnj3bOt8MICkpCX9//ypl7YUQQlwFSyJW8zqw8QM7seTLI5zOKWZXSiY39fetsZ1oPWRETFhFbvZ5grN2AGB/zaMaR/OngH5hxHmMBcD0zSJUk0njiMTlDHY2tR4Otnqrt22slStXEhMTg8lkQndZEZrk5GQWLlxISkoKe/bs4ccffyQmJoY5c+bw5ptvWtq99957xMXFERMTw9KlSyktLWX48OGMHDmSl156iccff5yFCxdaRq6ioqI4fPhwlVGxgoICEhISLFMHU1NTSUhI4MSJPz9BnTdvHmvXrmXTpk0kJyfz6KOPUlhYyPTp0xv9+i+3b9++Ji1UIoQQ7U7lps75Z6Gi+jowB1s9k8O6APBedFozBiaaiiRiwiqS//cvDEopqbpu9B8+Vutwquh25xJKVFv6lyeRuGuL1uGIVujQoUMsWLCAxx57jCNHkin16ofRNxidzpz8BQYGEhgYiF6vp1+/fpaKhcHBwaSlpVn6ee211wgJCeGaa67hxIkTluRpyZIlvP/++5SUlHD//X+OtgUHBzN48GA++eQTy7kDBw4waNAgBg0aBJiTrkGDBrFw4UJLm8mTJ7NixQoWLlxIaGgoCQkJ7Nixo1oBj8YqKSlh27ZtzJw50yr9CSGEAAxeYPvH+vrcUzU2mTKsG4oC+45lkZplnT2/HA0uFD19gqKnT+BocLFKn6J+JBETV81kNOL/24cAZPabqknJ+rr4+vfkF7+/AOD+01IqyqsXcBCiNiUlJdx7771MnjyZJUuWUFZWxrFjv6HX26D8MR3S3t7e0l6n01ke63Q6jEZzcZHdu3dbRsoSExPp27evpfR7ZmYmZWVlloqHl1q4cCGvv/46pj9Gc6+//npUVa12bNy4scp1s2fPJj09ndLSUmJiYoiIiLDa92TDhg2Eh4dX2d9MCCHEVaqyl1jN0xO7eBoYHdgBsF4pe0Wnw+DshsHZrcX9DdfWyXdbXLVD33+Kv3qOPJwIHvuQ1uHUqP/di8jFiQDTSX7577+0Dke0IvPnz6ewsJA333wTDw8PunXrxsqVKzlz5kyD+snLy8PLywsHBwcSEhJITEy0PDdz5kxWrVrF0KFDeeWVV6pcN27cOB5++GFOnz5tlddjDba2tqxatUrrMIQQou2po4R9pfuHmacwfnrgJMVlNVcSFq1Dq0jE9uzZg6IoNR779+8HYPHixTU+7+RUdwn1mq75+OOPm+NltRlKrLlk/RHfWzE4u2kcTc3cPLxJ7vUwAN0OrqS4MF/jiERr8M0337B69Wo++OADXFzM0zWeffZZtm79D7MemobJVP83wJtvvpn8/Hz69+/P0qVLLRs1r1u3jg4dOjBu3Dj++c9/smnTJo4ePVrl2rlz59KlSxfrvbCr9NBDD1Xb4FkIIYQV1FHCvtKoPj509TSQV1LB9sSr/5CutKSI/a9NZv9rkyktkS1JmpOiVpYCa8HKysospZIrPf/88+zcuZPjx4+jKAoFBQUUFBRUaXPjjTcydOjQalN2LqUoChs2bODmm2+2nHN3d2/Q3j15eXm4ubmRm5uLq6trva9rC078mkDXzaMwqQpnp0bTuUc/rUOqVUlxITkvhdCR80T3eILhD/xD65DalZKSElJTU+nevbsme2NZi9FYgT7jkPlr32D0eik+Wx91/fzb8+/Qlkp+JkJo5KdV8M1zEHQn3Lmu1mbv7D3Osq9SGODnyhdzrrNMlW+MooJcDCvMI3FFT59osR+qtyb1/R3aKkbE7Ozs6Nixo+Xw8vLi888/Z/r06Zb/8Jydnau0ycjI4MiRI8yYMeOK/bu7u1e5tjX/kdjczn5rnp500GlYi07CABwcnTgZ+lcABvz+LjlZ5zSOSAghhBDiEldYI1bpriFdsLfRcfhMHvEncpo+LtEkWkUidrnt27dz4cKFOksxv/vuu/Tp04cRI0Zcsb/HH38cb29vwsPDWb9+PVcaJCwtLSUvL6/K0R4V5F1kQOaXAOiHzdI4mvoZPH4Wv+sCcKWIlE8Xax2OEEIIIcSfrrCpcyUPJzsmhPgB1ivaIZpfq0zE1q1bR1RUFP7+/jU+X1JSwocffliv0bAXX3yRTz75hG+//ZY77riDxx577IqL0JcvX46bm5vlaElrN5rT4a/W4KwUk67zJ+i6iVqHUy96GxsKRjwPwOBzn3I2/egVrhBCCCGEaCaVe4kVZEB5cZ1NHxhubvvlwbNkFVTfd0y0fJomYvPnz6+1CEflkZKSUuWaU6dO8fXXX9eZZG3dupX8/HymTp16xRief/55rr32WgYNGsTf//53/va3v/Hyyy/Xec2CBQvIzc21HCdPnqzfC25DTEYjnX59H4Bzgfe3qnKnwaMmcdguBDulglP/eU7rcIQQwupycnIICwsjNDSUoKAg1q5dq3VIQoj6cPQAuz/28qplL7FKA/3dCfF3o8xoYsv+9ve3aFug6V/PTz31FMnJyXUePXr0qHLNhg0b8PLy4tZbb62133fffZfx48c3avPSiIgITp06Zdnfpyb29va4urpWOdqbwz98TlfTaQpURwaMbR3TEispOh22N5sLdQzJ+Zbjh37WOCIhhLAuFxcX9u7dS0JCAjExMSxbtowLFy5oHZYQ4kou3UusjhL2le4fHgDA5pgTGE0tvv6euIym5b58fHzw8fGpd3tVVdmwYQMPPPAAtra2NbZJTU1l9+7dbN++vVExJSQk4OHhUWWDVlGd8ee3ATjcYRwRrh4aR9NwfQaPIm7X9Qwp2EPhl89B8HdahySEEFaj1+sxGAyAeV1z5cbfQohWwKMbZB6+YsEOgPEDO7H0yyOczilmV0omN/Vv+CCE0E7rmU8G7Nq1i9TUVB56qPZNg9evX0+nTp0YO3Zstee2bt1K3759LY//+9//8u6775KUlMRvv/3Gv/71L5YtW8acOXOaJP624vTvyQwsigHAb8wTGkfTeL63LaVc1TOwZD9JPzQucRftj06np8JnABU+A9Dp9FqHI1qpvXv3MmHCBPz8/FAUhW3btlVrs3r1agICAnBwcCAiIoLY2NgG3SMnJ4eQkBD8/f155pln8Pb2tlL0QogmVc+CHQAOtnruHmquVfBedFqjbudocCH7sSNkP3YER4NLo/oQjdOqErF169ZxzTXXVEmmLmUymdi4cSPTpk1Dr6/+B1Jubm6VjVJtbW1ZvXo1w4cPJzQ0lLfffptXX32VRYsWNdlraAtOfv06OkXloEMYXXqHaB1Oo/n3CiLe5zYA7Pe8iMkou9OLK1MUBRtbO2xs7a5q3xbRvhUWFhISEsLq1atrfH7Lli3MmzePRYsWER8fT0hICFFRUWRmZlraVK7/uvw4c+YMYN6aJTExkdTUVDZv3kxGRkazvDYhxFWqZwn7SlMiuqEosO9YFqlZhQ2+naLT4dmhM54dOreqNf9tQavY0Lmla08bXxYV5FKxoh+uFJI48m1CbrhH65CuyoWMUzi8NQQnpYS4oa8wZFzto63i6rSVDZ1F48iGzrVTFIWtW7dy2223Wc5FREQwdOhQ3nzzTcD8QWOXLl2YM2cO8+fPb/A9HnvsMW644QbuvPPOGp8vLS2tsjY6Ly+PLl26tNufiRCaSv4vbJkCnYfAzF31uuTBjfvZlZLJjOu68/z4/k0coLiSNrWhs2g5Dv3vXVwp5JTSkeBRd2kdzlXz8vXnYDdzdU3fAy9TVlqicUSipTOZjBRkplKQmYrJJKOowvrKysqIi4sjMjLSck6n0xEZGUl0dHS9+sjIyCA/Px8wzwbZu3cvgYGBtbaXbVmEaEEqS9jXY2pipfv/KGX/6YGTFJc17L2ptKSImDenE/PmdEpLihp0rbg6koiJelNNJjokbwLgVK/70NUw/bM1GnjXs2Thjr96jl+2vqZ1OKKFU1UV54ocnCtypPiBaBJZWVkYjcZqlX99fX05d+5cvfpIT09nxIgRhISEMGLECObMmUNwcHCt7WVbFiFakMqpiYXnoax+idGo3j509TSQV1LB9sTTDbqdsaKciKz/EJH1H4wV5Q2NVlwFScREvR2J/h/dTekUqfb0u+UxrcOxGicXd473fxyA3ilvUZB3UeOIhBDi6oSHh5OQkEBiYiIHDx5k1qy6txmRbVmEaEEc3cHezfx1PUfFdDqFKcPMCdx70enyQWErIYmYqLfSn/4FwCHvsbh5tK3qW4Nve5KTih+e5HHo0yVahyNEq5Camsro0aPp378/wcHBFBY2fJG4qM7b2xu9Xl+tuEZGRgYdO3bUKCohRLPyqH/lxEp3DemCvY2Ow2fyiD+R0zRxCauSREzUy7kTxwgp+AEA38i2V97f1s6e8+F/AyDkxPtknav/Lz4h2qtp06bx4osvcuTIEb7//nvZf9FK7OzsGDJkCDt37rScM5lM7Ny5k+HDh2sYmRCi2VjWidWvciKAh5MdE0L8APjg5/pfJ7QjiZiol9Qdb6BXVJLsQwnoF6Z1OE1iUNRUfrXpg0Ep5finz2sdjmhh5s+fj729PVOm3K91KC3C4cOHsbW1ZcSIEQB4enpiY2OjcVStR0FBAQkJCSQkJADm0cWEhAROnDB/CDRv3jzWrl3Lpk2bSE5O5tFHH6WwsJDp06drGLUQotk0sIR9pQf+KNrx5cGzZBWUXqG10JokYuKKSooK6HtmKwBlg9tueXdFp6P8hhcAGJL1Ofu3rSbj1HGNoxItxYIFC3jllVf4+OOP+S21ZY+Y1mezYLi6DYOPHTuGs7MzEyZMYPDgwSxbtsxK0bcPBw4cYNCgQQwaNAgwJ16DBg1i4cKFAEyePJkVK1awcOFCQkNDSUhIYMeOHdUKeAgh2qgGbOp8qYH+7oR0cafMaGLLfim609JJIiau6ODX6/Egn3P4MPCGyVqH06QGXHMLv+u6YaOoDE14Fu+1Q4j990qtwxItgJubGzNmzECn03Eo5Tetw6nTlTYLhqvfMLiiooJ9+/bx1ltvER0dzbfffsu3337bHC+vTbj++utRVbXasXHjRkub2bNnk56eTmlpKTExMURERGgXsBCieTWihH2l+4eZr90ccwKjSYp2tGQyj0TUSTWZ8EzaCEBqj7/Q0dZO24CaWMap43QzngDF/FivqIQdXExKt4H0DbtB09jEJXJPQ/Zx8OwJbp2b7bYVFRUYDAYST+QxzqsftrqWuYXD2LFjGTt2bJ1tXn31VWbOnGmZ6rZmzRq+/PJL1q9fb9kwuHLaXE06d+5MWFiYZb+pW265hYSEBG666SbrvAghhGjPGjkiBjB+YCeWfnmE0znF7ErJ5Kb+dY+kOzg6c2aaeUZER0fnBt9PNJ6MiIk6HT2wk17G45SotvS75XGtw2ly59OPoFeqfnqkU1R6//d2fvm/W0ja9zmqyaRRdG2MqkJZYcOP2LWwMgg2TTD/G7u24X00sqzvc889R0FBAckpKdjZO6AoipW/KVUtW7YMZ2fnOo/KNUUNYY0Ng4cOHUpmZiYXL17EZDKxd+9e+vXr1+BYhBBC1MD9j03Viy5AaUGDLnWw1XP3UPP170WnXbG9Tq/HLyAQv4DANrNHbGshI2KiToX73gLgoMdNhHu3/bLJPt36Y1SVKsmYqoJegUFFP8LOH0nf7c+5PlPoP3YWLm6eGkbbypUXwTK/q+tDNcFXT5uPhnj2DNg5NeiSuLg41qxZw7hx40hKSmrY/RrpkUce4e67766zjZ9fw7+HdW0YnJKSUq8+bGxsWLZsGSNHjkRVVcaMGcP48eMbHIsQQogaOLiBgzuU5JhHxXz7N+jyKRHdeGfv7+w7lkVqViHdvRv2nieah4yIiVqdP5PGwLzvAfC6oe2VrK+Jr39P4gYupkI1/69RoerYP/AF0ifvIsZ7EoWqA91Mp4hI+Se6V/sRs2oqackHNI5aNDWTycSsWbOYPXs2U6ZM4dixY1w8/RumBoyOnjlzhvvuu69B9/X09KRXr151HlpWKhw7diyHDh0iKSmJV199VbM4hBCiTfJo/DqxLp4GRgd2AK5cyr6stISf1zzGz2seo6y0pMH3Eo0nI2KiVr/9bxXDFSPJtgPoN/AarcNpNuF3zCUjYgJZ6Sl4d+tLuH9PALr120B+bjYxO96h49EP6GY6ScSFbbBlG4ftBlI6eAYDb7wXmza+js5qbA3mkamGyDsDq8PNI2GVFD08HgOuDRgZsjU06LarVq0iKyuLF198kdTU3ykvL+dUSjyuHQOo7+dZfn5+fPjhhw2677Jly65YjfDIkSN07dq1Qf3KhsFCCNEKuHeFs4kNLmFf6f7h3diVksmnB07y9JhAHO1qnnZYUV7KsHPm96ei8uXY2Ts0OmTRMDIiJmpUVlpC75OfAVA0aIbG0TQ/X/+eDLh2HL5/JGGVXNw8iZg8n67PHSQp8n3inUZgVBUGlB1k8M9Pkr00kOgNf5cNoetDUczTAxtyePeGCa+bky8w/zthpfl8Q/ppwNqu06dP8/zzz7N69WqcnJzo3bs39vZ2JB01b22QlpZGSEgI9913H7179+bRRx9l27ZtREREEBQUxLFjxyztwsLCLO2nTp1Kv379mDx5Mmota9YeeeQRy15TtR2NmZooGwYLIUQrcBWVEwFG9fahq6eBvJIKtieetmJgwlpkREzU6ODXGwkjh0w8GRg5RetwWhxFpyPoulvhuls5d/I3Une8SZ/T/6ED2XRIX0PZv9ZywPV6nK97hMChkSg6+czDagY/AD1vhOzfwbNHk1dNfOKJJxg7dizjxo0DzGuj+vXqTlLKb1Su3kpOTuaTTz6hV69eBAUF4ezsTExMDG+//TZvvvkmr7/+epU+k5OT+eijj+jXrx+jR4/mhx9+sGyMfClPT088PRu+DrGgoIDffvuzxH7lZsGenp6W0bN58+YxdepUwsLCCA8PZ+XKlbJhsBBCtCSWRKxxI2I6ncKUYV1Z9lUK70Wnc3dYlyYvMiUaRv46FDVyObgegOPd7sbWzl7jaFq2jl16MXzmSpznp3BgyP+RYtMPO8VIWP5O+v7vLn5fOoTYf79GcWG+1qG2HW6dofuIJk/CvvjiC3bt2lUtkQru28syIgYQGBhIYGAger2efv36WaoRBgcHk5aWVq3fwMBA+vfvj6IoDBo0qMY2V+NKmwWDbBgshBAt3lWUsK9015Au2NvoOHwmj/gTOdaJS1iNjIiJan6N/57AiqOUqTb0uaV9FOmwBnsHA2ETZsGEWfyW+APZu1cz8OK39DT+Ts9Di8k79DKJvrfif9Ns/HsFaR2uqIfx48dz8eLFauffe+MfABj/eGxv/+eHFTqdzvJYp9NhNBovv7xKe71eX2Obq1G5WfCVzJ49m9mzZ1v13kIIIaykMhG72LgRMQAPJzsmhPjxWdwpPvg5nSHdPKwUnLAGGRET1eR+/yYAB91G4+Xrr3E0rVOvkOsIn/sRpU8c5udeczmt+OJKIcMyPsL/g2tJ/Gckibs+xlhRoXWoQgghhGiJKhOxkhwoyW10Nw8MN09x/PLgWbIKSq0QmLAWScREFRcyThGSswsA1+vlk/Kr5ebly7ApL9DpuWQSR64l0WEoJlUhpGQ/IXtnkbG0Pz9/sIjcCxlX7kwIIYQQ7Ye9Mxi8zF/nnGx0NwP93Qnp4k6Z0cSW/Y3vR1ifotZn/oqoU15eHm5ubuTm5uLq6qp1OFcleuN8hqf9i19t+tDnuf1ah9Mmnf79MCe/XkX/jO24UghAiWrLQY+b8Bz9OL1CrtM4wqZRUlJCamoq3bt3x8Gh9ZbGVVWVspIiAOwcDLLwuZ7q+vm3pd+hbYX8TIRoId65Hs78Avdshr7jGt3Nv+NO8dSniXR2d2Tv30aj1/353mUyGjnx6y8AdO0zCJ2+5jL3ov7q+ztURsSERXlZKT3TtgCQN/BBjaNpuzr3GMCwR9dg+8xRYoNf4Li+Bw5KOeE5X9Fr6ziOLongwPY1lJYUkXHqOEk//peMU8ev3LFoFoqiYO/ohL2jkyRhQgghmpYVCnYAjBvYCQ+DLadzitmVklnlOZ1eT0C/MAL6hUkS1swkERMWB7/bTAeyuYAbwWOmah1Om+fo5EL4HXPp8f/iSLnlMw643EiZqiewIoWw+L9Tvrw7PmsHE/TtFLzXDiH23yu1DlkIIYQQzekq9xKr5GCr5+6hXQB4LzrtKoMS1iKJmLBw/OVdAI7534m9g0HjaNoPRaejb/hNhD31H/IeTSC62yOcxx1npYTKmQN6RWXwwRdkZKwFMJlMFJw/ScH5k5hMJq3DEUII0ZZZaUQMYEpENxQF9h3LIjWr0HK+rLSE6HVPE73uacpKS676PqL+JBETABzc8x/6lydRruroecsTWofTbnl37Mrw6S9x9oaV1Z6zUUxkpac0f1CiClU14VyehXN5FqoqiZgQQogmVDkidhUl7Ct18TQwOrADAB/8/Gd/FeWlDD+5luEn11JRLlUVm5MkYoLYf68kePd0AGwwkRq9TduABL49BmJUq64/UlVw9+uhUURCCCGEaHZWHBEDuP+PUvafHjhJcZl197AUDSeJWDuXceo4Qw4uprLmgKIgU+BaAF//nsQNXEyFav5fVFXNP5tTX63QODIhhBBCNJvKRKw0F4pzrrq7Ub196OppIK+kgu2Jp6+6P3F1JBFr586nH0GvVN3BQKbAtQzhd8zlwswDHL5pM7EDXwAg4vxnxG59Q+PIhBBCCNEs7Azg5GP+OufqpyfqdApThpmTu/ei05FdrLQliVg759GpJ5f/P1ih6vDu1lebgEQVvv49GXDtOCLumEt011kAhCa8wNEDuzSOTAghhBDNwsrTE+8O64K9jY7DZ/KIP5FjlT5F40gi1s6dTfoeRcGSjFWoOuIHLsLXv6e2gYlqIqYu5xen67BTKvD4YgZZZ67+kzEhhBBCtHBWKmFv6c5gx60hfkDVoh2i+Uki1o6pJhPuiWsB+LnTFA7ftJkLMw8QfsdcbQMTNdLp9fSe9QFpuq50IJus9ZMpLSnSOiwhhBBCNCUrj4jBn0U7vjx4luzCcqv1KxpGErF2LDnma3oZj1Oi2tL3jucYcO04GQlr4ZxdPbC59yPycKJvRTKJb89Elb2smpVOp6fErRclbr3Q6fRahyOEEKKtq0zErFDCvtJAf3dCurhTZjSxLSmLX2/dzq+3bsfewclq9xBXJolYO1a6bxUAiV5j8fDppHE0or78ewWRdv0qjKpC+MUviP30Za1DalcURcHByQUHJxcURbnyBa1Uamoqo0ePpn///gQHB1NYWHjli4QQQliflacmVnpgmLnfj/afoWfoSPoMHoXexsaq9xB1k0SsnTr9+2FCCn8CoOOYv2ocjWiogdffwf5e5o23Bx95iSPR/9M4ItHWTJs2jRdffJEjR47w/fffY29vr3VIQgjRPnlckohZscrhuIGd8DDYcjqnmF0pmVbrV9SfJGLt1MkdK9EpKgcdhtKt72CtwxGNEHHfYg643IitYqTj1w9z7sQxrUNqF0wmEwUXTlNw4TSmZpgWeuHCBTp06EBaWlqT36vS4cOHsbW1ZcSIEQB4enpic8mnpPfccw+vvPJKs8UjhBDtmpu/+d+yfCi+aLVuHWz13D20C7ZUcHzbUn5+fyFlpSVW619cmSRi7VBezgWCM7YDoAx/TONoRGMpOh0DHtnEb/qeeJJHwabJFBfmax1Wm6eqJpxLM3EuzURVmz4RW7p0KRMnTiQgIACAvXv3MmHCBPz8/FAUhW3bttV43erVqwkICMDBwYGIiAhiY2Prfc9jx47h7OzMhAkTGDx4MMuWLavy/HPPPcfSpUvJzc1t7MsSQghRX7aO4Oxr/toKe4ldakpEN2yo4JGyTQw7/joV5aVW7V/UTRKxdujIl2/ipJSQputK0IjbtA5HXAVHJxecHviIi7jSy3icw29Pk+IdbUhRURHr1q1jxowZlnOFhYWEhISwevXqWq/bsmUL8+bNY9GiRcTHxxMSEkJUVBSZmX9OPQkNDSUoKKjacebMGSoqKti3bx9vvfUW0dHRfPvtt3z77beWa4OCgujZsycffPBB07xwIYQQVTXROrEungau6+VteZyRp20idja3mJ+OZ3E2t7hdxCEr8tqZivIyuh17H4DMAQ8SoJNcvLXr1C2QwzetweWbKYTlfcfPm19k2JTFWofVptx1113s2bOHpUuXMmPGgwDExB9ixKQIvvjiC8aMGdMk9/3qq6+wt7dn2LBhlnNjx45l7NixdV736quvMnPmTKZPnw7AmjVr+PLLL1m/fj3z588HICEhodbrO3fuTFhYGF26dAHglltuISEhgZtuusnSZsKECXz88cc8/vjjjX15ookFBATg6uqKTqfDw8OD3bt3ax2SEKKx3LvCqVirJ2IA/h6OcMr89S1v7CO8jz99O7la/T5XknI2j72/ZqECCjCyj7f2cSjwz0nBTB7atUnuJYlYO3Pwuw8ZzHku4srAsTO1DkdYyYBrxxFz8m9EpPyTocdWcuj7gQSPmqR1WPVTVkc1PkUPtg71bKszT9+4Ulu7hpfmfeONN3jhhRd48cUXmTHjQQoKi5gy5zkeeWRWkyVhAPv27WPIkCENuqasrIy4uDgWLFhgOafT6YiMjCQ6OrpefQwdOpTMzEwuXryIm5sbe/fuZdasWVXahIeHs3TpUkpLS6WQRwv2008/4ezsrHUYQoir1QQl7ME88rNl/0kWXfJW+/2vWXz/a5ZV79NQakuJQ4Vn/5PEyD4+dHJzvPIFDSSJWDtjiH8HgBT/OxlukDfntiT87r8T+8ZBwnO+ouvu2ZzuEkjnHgO0DuvKlvnV/lzvMXDfp38+frkXlNeyiXW362D6l38+XhkMRReqt1vc8HVNnTp1Yu7cubz99ttcuHCB+c//H/b2dixfvrzBfTVEeno6fn51fH9qkJWVhdFoxNfXt8p5X19fUlJS6tWHjY0Ny5YtY+TIkaiqypgxYxg/fnyVNn5+fpSVlXHu3Dm6devWoBiFEEI0UBNs6gyQmlVITXUYbwnqiJ+79ROP2pzJKearpHMtMg6jqpKWVSSJmLg6v8bvoW/5EcpUPb1vmat1OMLKFJ2OkEfWcXTF9QRWHCX7g79Q+Ne9OLm4ax1am9CnTx8MBgOLFy/mw63/I/aL93FwcLjyhVehuLi4ye9RmytNgXR0NL8hFRXVkhiLOu3du5eXX36ZuLg4zp49y9atW7ntttuqtFm9ejUvv/wy586dIyQkhFWrVhEeHl7veyiKwqhRo9DpdMydO5f77rvPyq9CCNFsPJpmjVh3bycu3xFTryg8P6F/kyQetTmbW8yOw+cwXZIVtqQ4ArwNTXI/ScTakbzdbwCQ6B7JUD/5BLstsncw4PngJ2S9M4rupnTi10whdN7n6PR6rUOr3bNnan9OuSzuZ36ro+1l6x3nHmp8TDXQ6XQEBwfzr3+t4f+ee5KQAX0wWvUO1Xl7e3PxYsNKFXt7e6PX68nIyKhyPiMjg44dO1ottuzsbAB8fHys1md7Ull05cEHH2TSpOrTiCsLrqxZs4aIiAhWrlxJVFQUR48epUOHDoC54EpFRUW1a7/55hv8/Pz44Ycf6Ny5M2fPniUyMpLg4GAGDhzY5K9NCNEELMU60s3z5ZTL06fG6eTmyPPj+sFO82MdsGxSULMmP5VxLJ8UzLP/ScKoqugVpV3EIYlYO5Fx6jgheXtAAc8b52odjmhCPn4BpIxbh+sXkxlcuI/o955l+PSXtA6rdg1Zs9VUbetB/WMTzcGDB/PYMwsp1ulw0OlJS0tj4sSJBAUFERsbS2RkJFFRUSxfvpzCwkK2bt1K7969ARg/fjxnz56ltLSUBQsWcN999xEdHc2TTz7JTz/9xIULF7juuuvYt28fHTt2ZNCgQQ2uTGhnZ8eQIUPYuXOnZYTFZDKxc+dOZs+ebbXvR1JSEv7+/nh7e1+5sajmSiOOV1twBcxFV8A8tfaWW24hPj6+1kSstLSU0tI/q6Xl5eU15OUIIZpa5V5i5UXmafdO1vvde/fwPkSXbSK7sIyvrx2Dv5eL1fpuiMlDuzKyjw9pWUUEeBuaPQnTIg4pmddO/P7lSmwVI4ftBtJz4DVahyOaWN+hkSQMfB6A4elrSPjuI40jav1WrlxJTEwMJpMJJ1dPHJ3dUf74RDI5OZmFCxeSkpLCnj17+PHHH4mJiWHOnDm8+eablj7ee+894uLiiImJsRS6GD58OCNHjuSll17i8ccfZ+HChZaRq6ioKA4fPlxlVKygoICEhATLH+GpqakkJCRw4sSf01XmzZvH2rVr2bRpE8nJyTz66KMUFhZa/qi3hn379jVpoZL2rLLgSmRkpOVcQwuuFBYWkp9v3lewoKCAXbt2MWBA7WtGly9fjpubm+WorJgphGghbOzBpZP5ayvvJaa3sWH4jbcx7ta7NUvCKnVyc2R4Ty/NkrDmjkMSsXagqCCX/mf/DUBZ2KwrtBZtRfgdc4nxNk956rXvr6SnxGscUet16NAhFixYwGOPPcaRI0eqTQcLDAwkMDAQvV5Pv379LH9ABwcHk5aWZmn32muvERISwjXXXMOJEycsydOSJUt4//33KSkp4f7777e0Dw4OZvDgwXzyySeWcwcOHGDQoEEMGjQIMCddgwYNYuHChZY2kydPZsWKFSxcuJDQ0FASEhLYsWNHtQIejVVSUsK2bduYOVMqrzaFugqunDtXfTF7TTIyMrjuuusICQlh2LBhPPDAAwwdOrTW9gsWLCA3N9dynDx58qpegxCiCTTRXmJCOzI1sR049OUaIijklNKRgTfco3U4ohkNfngNR1Yco3/ZIS5uuY/cJ/bh5iFTyRqipKSEe++9l8mTJ7NkyRLeeust4mP20b9fXwzu5j+ULy3frtPpLI91Oh1Go3kl2e7duy0jZQ4ODoSFhVmmgmVmZlJWVmb5A1x/yZq+hQsX8swzzzBz5kx0Oh3XX3+9ZZpkXWbPnm3VqYiX2rBhA+Hh4VX2NxMtS48ePUhMTKx3e3t7e9mGQIiWzr0rnPzZ6iXsy8tKid/6GgCDb/8rtnbyu6C5yIhYG2cyGvFL2QjAqT5T0dtI7t2e2NrZ4zvjY87hTRf1DGnv/AVjDYv7Re3mz59PYWEhb775Jh4eHnTr1o13Vr9BXtohVNVU737y8vLw8vLCwcGBhISEKn8kz5w5k1WrVjF06FBeeeWVKteNGzeOhx9+mNOnT1vtNV0tW1tbVq1apXUYbVZzFVwRQrQyTVTCvryshIjk5UQkL6e8rMSqfYu6SSLWxh3c8yld1DPkYSB4/GNahyM04OXrT/5tGylRbQkpjiV2/TytQ2o1vvnmG1avXs0HH3yAi4t53vyzzy5g2449PP7//tmgvm6++Wby8/Pp378/S5cutWzUvG7dOjp06MC4ceP45z//yaZNmzh69GiVa+fOndui1uw89NBDBAYGah1Gm3VpwZVKlQVXhg8frmFkQghNNVEJe6EdGR5p42xi/wXAkY63M0z2k2q3eoeO4MDJpYTF/Y3hZzYR91UIQ26ZoXVYLd6YMWMoLy+vcm7GjBk8PN68l5MRCAgI4MCBA5bnP/vsM8vXw4YN44svvgDMU7927NhR7R5BQUHMmGH+WTg5OXH48GFrvwzRAhUUFPDbb39ux1BZdMXT05OuXbsyb948pk6dSlhYGOHh4axcudLqBVeEEK2MZUTMulMThXYkEWvDfk+KIag0gQpVR8Atf9U6HKGxsAmz+Pl0IsPOfUi/mAUc7zKAnsGyxkcILRw4cIDRo0dbHs+bZx6pnjp1Khs3bmTy5MmcP3+ehQsXcu7cOUJDQ61acEUI0QpdOjXRinuJCe1IItaGZX23kh5AostIhnTtrXU4ogUIm7GSQyuSCS6Nx/E/95PTaR/u3rLmRIjmVp+iK01ZcEUI0Qq5+gMKVJRA4Xlw7qB1ROIqyRqxNirr3ElCL34DgNOoORpHI1oKG1s7uj78MacVX/zUTE6tnUxFeZnWYQkhhBDiSmzswNW8UbusE2sbWkUitmfPHhRFqfHYv38/AIsXL67xeScnpyv2v3HjRgYOHIiDgwMdOnTg8ccfb+qX1OSOffk6dkoFR20C6Ts08soXiHbDzcuXsrs+pEi1J6g0gQNr5RN3IYQQolWonJ54MU3TMIR1tIqpiddccw1nz56tcu75559n586dhIWFAfD000/zyCOPVGlz44031rmBJcCrr77KK6+8wssvv0xERASFhYVVNmBtjUqKCwk8uQWAgkEPaxyNaIm69x/KL9e8zKDoJxiWuYX920IYelvr/wCiOegUHUXO5spVjkqr+CxLCCFEW+HeFU78ZNURMTt7RxJHvg3AAHtHq/UrrqxVJGJ2dnZV9k4pLy/n888/Z86cOSh/LFR0dnbG2dnZ0iYxMZEjR46wZs2aWvu9ePEizz33HP/973+58cYbLecHDhzYBK+i+Rz637sMJY9zeBMy5gGtwxEt1KCoqfx8MpFhp9Yx8JdF/No1iD6DR2kdVoun6HQYXD21DkMIIUR71AQl7G1s7Qi54R6r9Sfqr1V+nLt9+3YuXLhQZxnfd999lz59+jBixIha23z77beYTCZOnz5Nv3798Pf35+677+bkyZN13r+0tJS8vLwqR0uhmkx4J60HIK3nfdjY2mkckWjJwqe/TIJhOPZKOe7bp5F1TuacCyGEEC1WE23qLLTRKkbELrdu3TqioqLw9/ev8fmSkhI+/PBD5s+fX2c/v//+OyaTiWXLlvH666/j5ubGc889x0033cTBgwexs6s5iVm+fDkvvPDCVb+OpnD4x/8SZEqjSLWn3zgp0iHqptPr6TlrM+mvj6Cb6RTJ6ybj+vRu7OwdtA6txTKZTBTnngfA0c0Hna5Vfp7VrnXv3t0ym6Ih5s6dyxNPPNEEEQkhRD01wV5i5WWl/PLlOwAMGvcwtnb2Vutb1E3TRGz+/Pm89NJLdbZJTk6mb9++lsenTp3i66+/5pNPPqn1mq1bt5Kfn8/UqVPr7NtkMlFeXs4bb7zBmDFjAPjoo4/o2LEju3fvJioqqsbrFixYYNnzBSAvL48uXbrUea/mYvxpNQCHfMYR4emjcTSiNXBx8yTnL5vJ/yCKfuVHiHnnYSLmvKd1WC2WqppwKj4DgNHVi1Y6saBd27hxY6OuCwgIsGocQgjRYJZE7CSYTGCFDwPLy0oIT3wOgKKbHpBErBlpmog99dRTTJs2rc42PXr0qPJ4w4YNeHl5ceutt9Z6zbvvvsv48eOvuPFlp06dAOjfv7/lnI+PD97e3pw4UfuQr729Pfb2Le8/0hO/JhBSHINJVfC7ed6VLxDiD116h5A46g2Cv3+YiAufE/PpCiLuelrrsIRoEqNGyVpIIUQr5eoPih6MpVCYCS6yF2hrpmki5uPjg49P/UdtVFVlw4YNPPDAA9ja2tbYJjU1ld27d7N9+/Yr9nfttdcCcPToUcs0x+zsbLKysujWrVu942opzn79Gl2Bg07DCO0VrHU4opUJueFuok8mMDx1NYOSlpHcNZh+ETWPCgshhBBCA3ob815iuSfgYrokYq1cq5pTs2vXLlJTU3nooYdqbbN+/Xo6derE2LFjqz23devWKtMc+/Tpw8SJE3nyySf56aefSEpKYurUqfTt25fRo0c3yWtoKrkXMgjO+h8ANtdKGXLROMPuX0K88yjsFCM+/3uYjFPHtQ6pxRg1ahSKomBjY4vSeTBK58HY2NjywANSmbQt8PHxoUOHDjUeXbp0YeTIkezevVvrMIUQQgp2tCGtqljHunXruOaaa6okU5cymUxs3LiRadOmodfrqz2fm5vL0aNHq5x77733+Otf/8q4cePQ6XSMGjWKHTt21Dri1lId+eINhiulHNd3Z8DwcVqHI1opRaej7yPv8/urI+lhSuPYxsm4zduDg8H5yhe3Yaqq8ssvv7BixQruuWcy+vPJABh9+uHm5q5tcMIqzp8/X+tzRqORpKQkpkyZwqFDh5oxKiGEqIFHN0j/waoFO4Q2WlUitnnz5jqf1+l0dZaenzZtWrU1aa6urqxbt45169ZZI0RNlJeV0jPV/L3JDn6InlLFTVwFg7MbDvdvIWfTjfSuOMb+tx8k7MmPUdrxf1fHjh0jPz+fkSNH0rFjR/SK+Y92o29H9PpW9WtU1OL8+fOcP3++ypphgCNHjuDj40NISAhPPfWURtEJIcQlZESszWi/f1m1IYnfbKID2WThzsCbH9Q6HNEG+HXvy6kb36JC1TE092t+3vAMST/+t0mmKhYWFtZ6lJSU1LttcXFxvdo2RlxcHDY2Nq1+s3dRu9mzZ3Px4sVq5y9evGgpWX+l4lJCCNEsmqCEvdCGJGKtnGoy4ZqwFoBjXSdj72DQOCLRVgSNmMiBQHP1zWEn3iXo2yl4rx1C7L9XWvU+zs7OtR533HFHlbYdOnSote3l60IDAgJqbNcY8fHxGI1GvLy8cHNzx7nPdTj3uY5HH30MAG9v72rXpKWlERYWVuXctGnT+OKLLwDzVhyTJk2iZ8+ehIWFcdddd5GRkVFrf6JppaamWgo4Xeraa68lKSlJg4iEEKIWVh4Rs7N3JC58JXHhK7Gzd7RKn6J+ZE5NK3d0/3f0rfiVUtWWPuNko1FhXQHX3YN6dAWVe9/qFZXBB18gI2ICvv49tQ2uGcXHx/OXv/yl2kbunp6ejepPVVUmTpzIY489xn/+8x8A9u3bx/nz56+47YZoGjWNhlW6fLRVCCE05f5HZW8r7SVmY2vHkFumWyEw0VCSiLVyRXtXAZDoOYZwX3+NoxFtTdbJFDoqVc/ZKCay0lOslogVFBTU+tzlRXcyMzNrbau77I0oLS3tquK6VHx8PEuXLqVXr15W6W/nzp04OzszY8YMy7kRI0ZYpW/ROAMHDrQUe7rUe++9R3CwbAcihGhBXDqBzgZM5ZB/Ftw6ax2RaCRJxFqxM6kphBTsAwV8bvqr1uGINsinW3+MqoJeUS3njKqCd7eaK5c2hpOTk+Zt6/L777+Tk5NDSEgIYJ4OXJSfDYDBxbNRRUyOHDnC4MGDrRKfsI433niDiRMnsmnTJsvPJj4+nvz8fLZt26ZtcEIIcanKvcRy0s3TE68yEasoLyPx2w8BCLnpPmxs7awRpagHScRasRM7XsNPUTlkP5jg/kO1Dke0Qb7+PYkduJjBB1/ARjEBcF7xwqdj69vwvLHi4uIA8PX15dy5cxiNFZby9XYDRmGrq/kNS1GUBp0X2urcuTMHDhxg586dHDlyBICxY8cSGRmpcWRCCFEDj25/JmLdhl9VV2WlxQyJnQtA0chJkog1I0nEWqn83GyCzn0OCpiGPaZ1OKINC79jLhkREzid9CO9o5+ho5JFzNaVRNz1tNahNYv4+HgAevfuXeW8vb0dFy9exLaWNywvL69q646ys7Px9vbGzs7OsjZMtAxfffWV5euePXuiKApubm4UFRVhMEgRJCFECyMl7NsEqZrYSh3+cjXOSjEndJ0JHjlJ63BEG+fr35PBNz/A4cA5APQ5vJLcCxkaR9U8li9fjqqqlqOiohz1dDwlv/+MnV3tnxo6Ozvj7u7OTz/9BJirJB46dIgBAwYQGRlJXl4eGzdutLT/4YcfpDqfhj799NMqxyeffMKSJUsIDg5m586dWocnhBBVWQp2pGkahrg6MiLWChkrKuh67H0AzvadTtfLChoI0VSG3PkMaf/cQoDpBDEfzSdi9gatQ2oRLl68iL//n8VyXn75Zf7yl7+wadMmHnvsMfLy8rCxseHtt9+2lNDftm0bTzzxBP/4xz9wcHAgKCiIN954g4qKCuzt7bV6Ke3Whg01/7dcuc1AbGxsM0ckhBB1kBGxNkESsVYocedHDFYzyMGZgeMe0Toc0Y7Y2tlTcOMy+HYKYee3cvzQLHoGD9M6LM0ZjcYazwcFBbF3794an+vatWuNRSASExPp3r27NcMTV8Hf35/y8nKtwxBCiKosI2KSiLVmMjWxFXI4sAaAZL87cHRy0Tga0d4EXTuBeOdR6BWV0u1PoZpMWofUZmzYsIF7772XxYsXax2K+EN0dDSurq5ahyGEEFVVjojlngJTzR8GipZPRsRamWMJ++hfnkS5qqfnOClZL7Thd/crFK27lv7lSRz4ci1hE2ZpHVKbMH36dKZPl001tTB06NBqFS2zs7Px8PBg06ZNGkUlhBC1cOkIOlvzXmJ5Z8C9i9YRiUaQRKyVyd21EoBEt9GEdZbpS0IbHbv2Jrr7gwxP+xfd4pZTMOpunF09tA6rWSiKjkJHPwAcFZlU0FZ89tlnVR4rioKXlxdOTk5s2bKF/v37axSZEELUQKc3J1/Zv5unJ15FImZr50BsyBIABtk5WCtCUQ/yV0Qrknk6lZDc3QC43TBX22BEuzdo8vOcVnzx4SKHPnpO63CajU6nw8nDFycPX3SN2MxZtEzdunWrcnTt2tWyKfgzzzyjcXRCCFEDKxXssLWzJ/z2OYTfPgdbOykW1Zzkr4hW5PiXr2GrGEm2HUDv0BFahyPaOQdHJ85f+wIAQ858xIlfE7QNSIgmoqqq1iEIIUR1lkQsXds4RKNJItZKFBfm0+/MvwEoCZP1OKJlCLlhMokOQ7FTjOT85+l2UbhDNZkoysumKC+7XbxeQbW1Y63B0aNHCQ0NtRyOjo41VukUQrRiVhoRqygvI3HXxyTu+piK8jIrBCbqS9aItRIHv3qbCAo4o/gy8Mb7tA5HCAAUnQ7PO16h7IPRDCzZT8LOjwm96V6tw2pSJtWEocD86aPRyRW9fJ7VJvj4+NSYcKmqSk5OTvMHdJUCAwNJSEgAoKCggICAAG666SZtgxJCWJd7gPnfq0zEykqLCdlr/pC/KHwsNrZ2VxmYqC9JxFoBk9FIx2TzZqMnet+Pn4382ETL0aV3CNGd72P4mffw+WkxJddNxMHRSeuwhGiQ8+fPax1Ck9m+fTs33nijZc2bEKKNqBwRuyhTE1sr+Si3FTi09z90M52iQHVkwLjHtQ5HiGoG/uUfZOJJZzWDXz5+UetwhLiiadOmUVRUpNn99+7dy4QJE/Dz80NRlBqnDa5evZqAgAAcHByIiIggNja2Uff65JNPmDx58lVGLIRocSoTsbzTYKzQNhbRKJKItQK6n98CIKnjRFzcPDWORojqnFzcORG2AIDQtPWcTT+qcURC1O3999+noKDA8vjRRx+tNgWxoqLp/rApLCwkJCSE1atX1/j8li1bmDdvHosWLSI+Pp6QkBCioqLIzMy0tAkNDSUoKKjacebMGUubvLw8fvrpJ2655ZYmey1CCI04+4LeHlSjORkTrU69EzGtPz1sr1KP7Ce4NB6jqtD1ZtnAWbRcQ255iCN2wTgqZZz99GmtwxGiTpdXQvzwww/Jzs62PM7IyMDV1bXJ7j927FiWLFnC7bffXuPzr776KjNnzmT69On079+fNWvWYDAYWL9+vaVNQkICSUlJ1Q4/Pz9Lm88//5wxY8bg4FD33kClpaXk5eVVOYQQLZxO9+f+YVe5Tkxoo96JmNafHrZX5799DYBE5+vw695X42iEqJ2i02E/YQVGVWFwwV6S9n2udUhC1FtNJepLSko0iATKysqIi4sjMjLSck6n0xEZGUl0dHSD+qrvtMTly5fj5uZmObp0afzmsEKIZiQl7Fu1eidiWn962B5lZ54mJPsbABxHztE4GiGurGfwMA74mD/hd979/ygvK9U4IusZNWoUiqJgY2OL0nkwSufB2NjY8sADD2gdmmgiWpWtz8rKwmg04uvrW+W8r68v586dq3c/ubm5xMbGEhUVdcW2CxYsIDc313KcPHmywXELITRgpRL2QhuNLr/Xkj49bKuOfvkGw5Vyjtn0pu9QKTssWoe+f/knF1d9S4DpJD9/9n8Mu/d5rUO6aqqq8ssvv7BixQr+8pe/UJxrrrDn6OYjH0C1Yps3b2bkyJEEBwdrHUqTcHNzIyMjo15t7e3tsbe3b+KIhBBW597N/O9VJGK2dg7E9DOv8x5sV/c0ZmFdVq2D3ho3vWypSkuK6J3+MQC5ITNRdFJXRbQObl6+xAbNIzzpBQYcXU3WuWl4d2zd05yOHTtGfn4+I0eONK+/uWQNjmidRowYwaJFi8jPz8fW1paKigoWLVrEtddeS2hoKD4+PprF5u3tjV6vr5ZEZWRk0LFjR42iEkK0SFYoYW9rZ0/E5PlWCkg0RIP+ut+8eTPx8fGUl5c3VTziDwd3rMebHDLxJCRqmtbhCNEgQ257gmP6Xrgoxfz+8d+0DueqxcXFYWNjw8CBA7UORVjJ999/T25uLkePHmXTpk089dRTnD17lmeffZZrrrmGPn36aBabnZ0dQ4YMYefOnZZzJpOJnTt3Mnz4cM3iEkK0QFYYERPaqfeIWEv+9LCtUU0mPA+9C8Dx7vcy3E6mi4jWRW9jg3Hs/8EXkwjP+YqUAzsJCLq2xraFhYUAGAwGy6h6WVkZ5eXl2NjYVJkuVdnW0dER3R+jxOXl5ZSVlaHX66tUhqutra2tbYNfT3x8PEajES8vryrn7733Xt555x1sbGwICgqynI+OjsbR0ZFTp07xxBNPkJiYiIeHB927d+fNN9/E19cXb29vsrKyGhyLsK7evXvTu3dv7rnnHsu51NRUDhw4wC+//NJk9y0oKOC3336rcs+EhAQ8PT3p2rUr8+bNY+rUqYSFhREeHs7KlSspLCxk+vTpTRaTEKIVqhwRyz8DFWVgY9fgLowVFaTEfA1A34go9DZWnTAn6qI20K+//qp+9NFH6jPPPKPeeOONqoeHh6ooiqrT6VSdTtfQ7tqE3NxcFVBzc3Ot0t+hH7ar6iJXtWiht5qTdc4qfQqhhdhX71bVRa7qr/8YohYWFKhHjhxRi4uLq7QBVEDNzMy0nFuyZIkKqA899FCVtgaDQQXU1NRUy7nXXntNBdR77723Sltvb28VUJOSkizn3nnnnUa9jhtuuEG999571WPHjqkpKcnqsR+2qcd+2KZmZmaoqqqqXl5e1a4xmUzq4MGD1Xfffddybu/eveqhQ4dqvaYtKy4urvHnr6rW/x3aGuzevdvy3/6lx9SpUy1tVq1apXbt2lW1s7NTw8PD1Z9//rnZ4muPPxMhWiWTSVX/0UFVF7mq6oXfG9VFYX6O+fpFruavxVWr7+/QBqe8Wn162J5U/Gje4POg9y1EePleobUQLVf3v7xMwb++p3fFMWJ3vo9L71Fah9Qo8fHxLF26lF69emE0VqB3KQbA6Fn7Bus7d+7E2dmZGTNmWM6NGDGiyWMVrcP1119fY9GrS82ePZvZs2c3U0RCiFZJUcyjYlm/mkvYe3bXOiLRAFYZe+zevTvdu3fnrrvuskZ37drJ3w4xsPBnUKBTlGzgLFo3745d+bnPoww79irdft1IVs/rqrWp3J/QYDBYzj3zzDPMnTsXm8umR2RmZgLm6YaVHn/8cWbOnIler6/SNi0trVrbadOmNfg1/P777+Tk5BASElJrm5ycHEJDQwEICwvj3Xff5ciRIwwePLjB9xNCCCEaxJKIyTqx1kYmgbYwZ3a8RhdFJdExnJA+oVqHI8RVG3LXfNL/+Sm+FHC2MKfa805OTtXO2dnZYWdXfZ57TW1tbW1rXPdVW9uGiouLA/7cw8lorEB/3ry2y8vHhF4P7u7uJCQkNLhv0bL8+uuv9OjRo9oHAEII0aJJwY5WS2qityC5F7MIPv8FALrhMh1FtA22dvbkj14KgJ2xiLKSQo0japj4+HjAPC27U6dO+Pt3odOgMQQMG09FRUWt1/Xr10+ma7cy/fr14/fff9c6DCGEaBgrlLAX2pBErAVJ/uINDEopqbpuBF03QetwhLCaoBETOew4FAUVU17GFdfGtCTLly9HVVXLUVFRjno6npLff65x1K5SZGQkeXl5bNy40XLuhx9+ICkpqRmiFo3Rmv67FEIIi8pETEbEWh1JxFqIivIyAo5/CMD5AQ/KBs6izfG5+W+oKDhQQlFu2y/brigK27ZtY9u2bfTs2ZMBAwawatUq2epDCCGEdcnUxFZLJsK3EInfvMcQssjGlYG3zNQ6HCGsrkPn7mRnXwTArugsRhcP9PrW9ytIUXQU2HcAwKCYPzCpbT+wrl27sm3bthqfkz3EhBBCWIXHH4lY/lmoKAWbhu0/a2Nrz889nwRgsK3sXducWt9fQW2U8y/vAHC0y90Md6xeZECItsDO4EYZRlwxUpB9BmefrlqH1GA6nQ5nr85ahyGEEEKYGbzA1gDlRZB7Crx6NuhyO3sHht3/YhMFJ+oi899agJT93xFYcZQy1Ybe4+ZqHY4QTUbR6TA6mqfmGcqyKSsp1jgiIYQQopWr3EsMzHuJiVZDErEWoPD7VQAketyEd8cuGkcjRNNycHanSDGgU1QqLp7UOpwGU1WVksJ8SgrzpbiDEEKIluEq1okZKyr4Nf57fo3/HmMd1YCF9cnURI2lHNhFaP73oIDnjXO1DkeIJqcoCjqPLpguHMVAIUV52RhcPbUOq95MJiMOub8BYHQIbpXr3IQQQrQxV1HCvrSkkD7bbwWgqM8JDM5u1oxM1EFGxDQU+++V9Pnv7egVFVWFC7/+rHVIQjQLewcDRbbm5Mum4Awmk1HjiISAv//973h5eWkdhhBCNJyUsG+VJBHTSMap4ww5uBidYn6sKDD44AtknDquaVxCNLXK6XyOXp0pR48d5RRln9U4KtHUTCaT1iFc0fLlyyURE0K0TpKItUoyp0Yj59OP4KtUXV9io5jISk/B179h1W6EaA1sbW1RFIXz58/j4+ODoigU2XhhKMlAKT9Pvp0LtnYtv2yu0ViBvsL8/66xpESmJl6BqqqUlZVx/vx5dDpdnZtgCyGEaCQP2UusNZK/IDTi060/RlVBf0kyVqHq8O7WV8OohGg6er0ef39/Tp06RVpamvmkqlKel4utWkbZuTzsXDtoGmN9mEwmdHnnzV/n26OTzdfrxWAw0LVrV/l+CSFEU6gs1lFwDsqLwdZR23hEvUgiphFf/57EDlzM4IMvYKOYqFB1xA9cRLiMhok2zNnZmd69e1NeXm45l56SQ5dvn0CnqBy7ZgW9B1+vXYD1UFyYj+P/Jpu/nr4bRycXjSNq+fR6PTY2NiiKonUoQgjRNjl6gJ0zlBWY9xLz7q11RKIeJBHTUPgdc8mImEBWegre3fpKEibaBb1ej16vtzwODL2GmH2DibiwDefv/o7N0P3Y2Lbc6WumilIcCsxl9032djg4OGgckWiMadOm8dZbb2EwGLQORQghrp6imEfFMg+b9xKTRKxVkDkiGvP178mAa8fJujDRrgX+5SVycKa7KY0Dn63QOpw62djaE91lJtFdZmJj2/LXtImavf/++xQUFFgeP/roo+Tk5FRpUyH76QghWpNGlrCX9zXtSCImhNCcu3dHjvafC0D/o2+SnXla24DqYGfvwPAZKxg+YwV29jIa1lpdvhn3hx9+SHZ2tuVxRkYGrq6uzR2WEEI0XiMrJ8r7mnYkERNCtAhhk/7Kb/qeuFLIbx/9TetwRDtzeWIGUFJSokEkQgjRSFLCvtWRREwI0SLobWyoGPNPAMKyv+TX+O81jqhmJqORtOQDpCUfwGSUjajbMikuIoRoVRpZwl7e17QjiZgQosXoGzGGA643oVNU+OrpFvmGUFJcQMCWGwnYciMlxQVXvkC0WJs3byY+Pr5KFU8hhGi1LCNiDVsjJu9r2pFETAjRogTc8wqFqgN9Kn7lwPbVWocj2qgRI0awaNEiwsLCcHZ2pqioiEWLFrFmzRp+/vnnKoU8hBCiVahMxArPQ1mRtrGIemkVidiePXtQFKXGY//+/QAsXry4xuednJxq7Xfjxo219puZmdlcL08IcQlvv24c6v0IAD0TV5CXc0HjiERb9P3335Obm8vRo0fZtGkTTz31FGfPnuXZZ5/lmmuuoU+fPlqHKIQQDePgDvZ/FBnKPalpKKJ+WsU+Ytdccw1nz56tcu75559n586dhIWFAfD000/zyCOPVGlz4403MnTo0Fr7nTx5MjfffHOVc9OmTaOkpIQOHTpYKXohREMNvmsBJ176lK6m0/y8eQHDHntH65BEG9W7d2969+7NPffcYzn3+++/ExcXxy+//KJhZEII0UCVe4llHDKXsPcJ1DoicQWtIhGzs7OjY8eOlsfl5eV8/vnnzJkzx7KY2tnZGWdnZ0ubxMREjhw5wpo1a2rt19HREUdHR8vj8+fPs2vXLtatW9cEr0IIUV929g7kjloCu6cTlvEpackPE9AvTOuwRDvRo0cPevTowV133aV1KC2a0WiU9XXtjF6vx8bGRgrZtGTuXc2JWAPXiQlttIpE7HLbt2/nwoULTJ8+vdY27777Ln369GHEiBH17ve9997DYDBw55131tmutLSU0tJSy+O8vLx630MIUT/BoybxS8y7DCr6kYJtT6EG7kbRtYrZ1KKF6969e6P+kJw7dy5PPPFEE0TU+hQUFHDq1Kkay/6Lts1gMNCpUyfs7Oy0DkXURErYtyqtMhFbt24dUVFR+Pv71/h8SUkJH374IfPnz29wv/fee2+VUbKaLF++nBdeeKFBfQshGs73rlcp2XgdQaUJxO3YxJBbav/wRYj62rhxY6OuCwgIsGocrZXRaOTUqVMYDAZ8fHxkdKSdUFWVsrIyzp8/T2pqKr1790YnH461PI0sYS+0oWkiNn/+fF566aU62yQnJ9O3b1/L41OnTvH111/zySef1HrN1q1byc/PZ+rUqfWOJTo6muTkZN5///0rtl2wYAHz5s2zPM7Ly6NLly71vpcQon78uvcluutUhp98l86xSygaOQmDs5umMdnY2vNzx/sAGGxrr2ksonFGjRqldQitWnl5Oaqq4uPjc8UPLkXb4ujoiK2tLenp6ZSVleHg4KB1SOJyjShhL+9r2tE0EXvqqaeYNm1anW169OhR5fGGDRvw8vLi1ltvrfWad999l/Hjx+Pr61vvWN59911CQ0MZMmTIFdva29tjby//oQrRHELvWczZlz+nE+eJ/ngxwx96TdN47OwdGPbIW5rGIER9rFixgg0bNqAoCvPnz2fKlClW7V9GwtonGQVr4RoxNVHe17SjaSLm4+ODj49PvdurqsqGDRt44IEHsLW1rbFNamoqu3fvZvv27fXut6CggE8++YTly5fX+xohRPNwdHIhZfjzdIp+gsEn32P/9kC6Dr4JX/+eWocmRIt16NAhNm/eTFxcHKqqMnr0aMaPH4+7u7vWoQkhmlJlIlZ0AUoLwN657vZCU63qY41du3aRmprKQw89VGub9evX06lTJ8aOHVvtua1bt1aZ5lhpy5YtVFRUWP3TQiGEdYTedD9pij/2SgVD4/+O99ohxP57pSaxmIxGzqQd5UzaUUxGoyYxCHElycnJDB8+HAcHBxwdHQkJCWHHjh1ahyWEaGoObub9xKDeo2LyvqadVpWIrVu3jmuuuabGZArAZDKxceNGpk2bhl6vr/Z85eadNfU7adIk+aRQiBYq80wqXUynLY/1isrggy+Qcep4s8dSUlyA38Zw/DaGU1Jc0Oz3F23D3r17mTBhAn5+fiiKwrZt26q1Wb16NQEBATg4OBAREUFsbGy9+w8KCmLPnj3k5ORw8eJF9uzZw+nTp698oRCi9Wvg9ER5X9NOq6qauHnz5jqf1+l0nDxZ+07i06ZNq3FN2k8//XS1oQkhmtD59CP4KlXLZNsoJrLSU2SKomiVCgsLCQkJ4cEHH2TSpEnVnt+yZQvz5s1jzZo1REREsHLlSqKiojh69CgdOnQAIDQ0lIqKimrXfvPNN/Tv358nnniCG264ATc3N4YNG1bjB5RC5OTkEBkZSUVFBRUVFTz55JPMnDlT67DE1XDvCucOSuXEVqBVJWJCiPbJp1t/jKqC/pJkzKjq8O5W8+i4EC3d2LFja5xCX+nVV19l5syZlv0y16xZw5dffsn69estW7MkJCTUeY9Zs2Yxa9YsAB566CF69+5da1vZH7P9cnFxYe/evRgMBgoLCwkKCmLSpEl4eXlpHZpoLI8A87+yqXOL16qmJgoh2idf/57EDVxMhfrnr6x4t9EyGibapLKyMuLi4oiMjLSc0+l0REZGEh0dXe9+MjMzATh69CixsbFERUXV2nb58uW4ublZjra8Jcv8+fOxt7fn3nvv1TqUFkGv12MwGABzQq6qqmzU3do1ooS90IYkYkKIViH8jrlcmHmAn73vAMCr4DiqyaRxVEJYX1ZWFkajsdoWLL6+vpw7d67e/UycOJH+/fszZcoUNmzYgI1N7ZNgFixYQG5uruWoa5p/a7dgwQJeeeUVPvroI3777Tetw6lTfdYSwtWtJwTz9MSQkBD8/f155pln8Pb2tkL0QjONKGEvtCGJmBCi1fD170m/e1+iRLWlhymNYwl7tQ5JiBYrOjqaI0eOsH///ivukWlvb4+rq2uVo61yc3NjxowZ6HQ6Dh06pHU4dapcS7h69epa21SuJ1y0aBHx8fGEhIQQFRVlGREF83rCoKCgaseZM2cAcHd3JzExkdTUVDZv3kxGRkaTvzbRhCQRazUkERNCtCpunj4cch8NQM6+dzSORgjr8/b2Rq/XV/tjOCMjg44dO2oUVdtSUVGBwWAgKSlJ61DqNHbsWJYsWcLtt99ea5tL1xP279+fNWvWYDAYWL9+vaVNQkICSUlJ1Q4/P78qffn6+hISEsK+ffua7DWJZlCZiBVfhBJZ79mSSSImhGh1nK+ZAUBQ9nfk52Y36731NrbEeE8ixnsSepuaN5YX4mrY2dkxZMgQdu7caTlnMpnYuXMnw4cP1zAy6zubW8xPx7M4m1vcrPd97rnnKCgoaLZEbNmyZTg7O9d5nDjR8NELa6wnzMjIID8/HzBv87N3714CAwMbHItoQexdwNHT/HU9RsXkfU07UjVRCNHq9B06hvSv/elmOkXMN+uJuOvpZru3vYOBiNkbmu1+om0qKCiosj4pNTWVhIQEPD096dq1K/PmzWPq1KmEhYURHh7OypUrKSwstFRRbElUVaW4vOGbwP477hSLth/GpIJOgRduHcAdQ/wb1IejrR5FURp0TVxcHGvWrGHcuHHNlog98sgj3H333XW2uXx0qj7qWk+YkpJSrz7S09N5+OGHLUU65syZQ3BwcINjES2Me1cozjYnYh2D6mwq72vakURMCNHqKDodZ3tOptuxV/BK2Qw0XyImhDUcOHCA0aNHWx7PmzcPgKlTp7Jx40YmT57M+fPnWbhwIefOnSM0NJQdO3ZU+4O7JSguN9J/4ddX1YdJhec/P8zznx9u0HVHXozCYFf/P2VMJhOzZs1i9uzZREREMGXKFMrLy7G1rf8owJkzZ3jmmWf48MMP632Np6cnnp6e9W7fnMLDw6+4FYJohTy6wdkEWSfWwsnURCFEqxQ4ZiZlqg29jMc5ltB86xlUk4nszNNkZ56Wqo2i0a6//nrLCMSlx8aNGy1tZs+eTXp6OqWlpcTExBAREaFdwG3EqlWryMrK4sUXXyQ4OJjy8vJ6jxxV8vPza1ASBk03NVHWE4paNaCEvbyvaUdGxIQQrZKHTycOuI4iLH8n2fvWQuiIZrlvcVE+nm/1B6Do6RMYnN2a5b5CtFSOtnqOvFj7HmU1OZdbQuSr32O6ZLsqnQLfzRtFRzeHBt27vk6fPs3zzz/PRx99hJOTE71798be3p6kpCSCg4NJS0tj4sSJBAUFERsbS2RkJFFRUSxfvpzCwkK2bt1K7969SUtL48477+Szzz5j4sSJhIaGEhsby8CBA/n4449rnCrZVFMTL11PeNtttwF/riecPXt2g/sTbYh7N/O/9RgRk/c17UgiJoRotRyGTYdvdzIg6xsK83NwcnHXOiQh2h1FURo0PRCgh48zyycF8+x/kjCqKnpFYdmkIHr4ODdRlPDEE08wduxYxo0bB4CNjQ39+vWrsk4sOTmZTz75hF69ehEUFISzszMxMTG8/fbbvPnmm7z++utV+kxOTuajjz6iX79+jB49mh9++IERI6p/KNTYqYlXWksItKr1hKIZyabOrYIkYkKIVmvA8HGc+q4T/pwl9puNhN8xV+uQhBD1NHloV0b28SEtq4gAbwOd3Byb7F5ffPEFu3btIjk5ucr54ODgKolYYGCgpWJgv379LNUIg4OD+eqrr6r1GxgYSP/+5pGEQYMGkZaWVmMi1lhXWksItKr1hKIZVY6IXZQ1Yi2ZJGJCiFZL0ek41f0u/H9/A/fkD4G5WockhGiATm6OTZqAVRo/fjwXL16sdv69996r8tje3t7ytU6nszzW6XQYjdUrQ17aXq/X19jmalSuJbyS2bNny1REUZV7F/O/pblQnAOO7lpGI2ohxTqEEK1a76hZlKl6+lT8yvFDP2sdjhBCCKE9OycweJu/lsqJLZYkYkKIVs3L158kl+sAyPr+bY2jEUIIIVoIj/oX7BDakKmJQohWzzZ8Ouz6nn5ZOyguzMfRyUXrkIQQrUxAQAAHDhywPP7ss88sXw8bNowvvviiWrtL269YsaKZIhWinty7wuk4KdjRgsmImBCi1Rtw7a2cUXxxpYikbzc16b30Nrbsd7uZ/W43o7ep/yawQgghRLOyVE6se0RM3te0IyNiQohWT6fXc6Lbnfilrcb58IdwW9MtWrd3MDD0r1uarH8hhBDCKuqZiMn7mnZkREwI0Sb0GjOLClVHv/IjpCUfuPIFQgghRFvmHmD+96JMTWypJBETQrQJ3n7dOOQ8HIBzu5uuaIdqMlFUkEtRQS6qydRk9xFCCCGuyqUjYnVsgyDva9qRREwI0WbowqYD0C/zS0qKC5vkHsVF+RhWdMWwoivFRflNcg8hhBDiqlXuJVaWD8XV99GrJO9r2pFETAjRZgSNuJ1z+OBGIUnfvq91OEIIIYR2bB3BqYP5aylh3yJJIiaEaDP0Njakdp0EgGPSBxpHI4QQQmjMspeYrBNriSQRE0K0KT3GzMKoKgwoO8SJXxO0DkcIIYTQTj0rJwptSCImhGhTfP17kmSIAOD0rqYr2iGEEEK0eJKItWiSiAkh2hx1yDQA+p77gtKSIm2DEUIIIbTi/sfURClh3yJJIiaEaHOCRt1BJp54kEfSzs1ahyOEEEJoQ0bEWjRJxIQQbY6NrR2/+98OgP1B61ZP1OltiHceSbzzSHR6G6v2LYQQ1pSTk0NYWBihoaEEBQWxdu1arUMSza1yRKyOvcTkfU078t0WQrRJ3W6ahWn9eoJKEzh1/DD+PQdYpV8HRycGP/1fq/QlhBBNycXFhb1792IwGCgsLCQoKIhJkybh5eWldWiiubj5m/8tL4SibHCq/rOX9zXtyIiYEKJN6tQtkCTHMABOfrdG42iEEO3dhQsX6NChA2lpac12T71ej8FgAKC0tBRVVVEvGRW55557eOWVV5otHqEBWwdw6WT+OidN01BEdZKICSHarIpBUwHofXY7ZaWlGkcjhGjPli5dysSJEwkICABg7969TJgwAT8/PxRFYdu2bTVet3r1agICAnBwcCAiIoLY2NgG3TcnJ4eQkBD8/f155pln8Pb2tjz33HPPsXTpUnJzcxv7skRrIOvEWixJxIQQbVbw6Lu5gDve5JC0+2Or9FlUkAuL3WCxm/lrIYS4gqKiItatW8eMGTMs5woLCwkJCWH16tW1XrdlyxbmzZvHokWLiI+PJyQkhKioKDIzMy1tKtd/XX6cOXMGAHd3dxITE0lNTWXz5s1kZGRYrg0KCqJnz5588MEHTfCqRYtxhURM3te0I4mYEKLNsrWz51e/iQDYJLyncTRCCK3ddddd+Pj48M4771jOxcTEYGdnxzfffNNk9/3qq6+wt7dn2LBhlnNjx45lyZIl3H777bVe9+qrrzJz5kymT59O//79WbNmDQaDgfXr11vaJCQkkJSUVO3w8/Or0pevry8hISHs27evyvkJEybw8cfW+aBKtFBSwr7FkkRMCNGmdYt8BICg4jjOpB3VOBohhJbeeOMN7rjjDl588UUACgoKmDJlCo8++ihjxoxpsvvu27ePIUOGNOiasrIy4uLiiIyMtJzT6XRERkYSHR1drz4yMjLIz88HIDc3l7179xIYGFilTXh4OLGxsZTK9O22S6YmtliSiAkh2jS/Hv05ZD8InaKS/q0U7RCiqRSVVdR6lJQbrd62MTp16sTcuXM5ffo0Fy5c4IknnsDe3p6XXnqp0a+7PtLT06uNUF1JVlYWRqMRX1/fKud9fX05d+5cve87YsQIQkJCGDFiBHPmzCE4OLhKGz8/P8rKyurdp2iFJBFrsaR8vRCizSsPeQBif6Hn6W1UlL+Eja2d1iEJ0eb0X/h1rc+NDvRhw/Rwy+Mh//iO4ssSrkoR3T3ZMmu45fF1L+0mu7CsWru0f45rVJx9+vTBYDCwcOFCPvzwQ2JjY3FwcGhUX/VVXFzc5PeoSXh4OAkJCXW2cXR0BMzr2EQbdWkipqqgKNrGIyxkREwI0eYF3Xgv2bjSgWwO7flU63CEEBrS6XQEBwfz1ltvsWTJEkJCQpr8nt7e3ly8eLHB1+j1+irFNcA83bBjx45Wiy07OxsAHx8fq/UpWhi3LoACFcVQeF7raMQlZERMCNHm2dk78GvHCQw79yG6+E1w031ahySE1dx+++3s2bOHG2+8kc8++6zez1nbkRejan1Od9kn8HHPR9bSsnrbH/4++uoCu0zlPlqDBw/mqaeespxPS0tj4sSJBAUFERsbS2RkJFFRUSxfvpzCwkK2bt1K7969ARg/fjxnz56ltLSUBQsWcN999xEdHc2TTz7JTz/9xIULF7juuuvYt28fHTt2ZNCgQQ2uTGhnZ8eQIUPYuXMnt912GwAmk4mdO3cye/Zs63wzgKSkJPz9/auUtRdtjI0duPpB3mnzqJhzB60jEn+QETEhRLvQ+cZZAAQVxXLu5G+N7kentyHRMZxEx3B0evksS2jvySef5L33aq4KWtdz1maws6n1cLDVW71tY61cuZKYmBhMJhM6XdU/g5KTk1m4cCEpKSns2bOHH3/8kZiYGObMmcObb75paffee+8RFxdHTEwMS5cupbS0lOHDhzNy5EheeuklHn/8cRYuXGgZuYqKiuLw4cNVRsUKCgpISEiwTB1MTU0lISGBEyf+XMczb9481q5dy6ZNm0hOTubRRx+lsLCQ6dOnN/r1X27fvn1NWqhEtBCW6YnVKyfK+5p2JBETQrQLXXqHcNhuIHpFJfWbtxvdj4OjEyF//5aQv3+Lg6OTFSMUonGuv/56XFxcGvxce3To0CEWLFjAY489xpEjR6ioqFr0IzAwkMDAQPR6Pf369bNULAwODiYtLc3S7rXXXiMkJIRrrrmGEydOWJKnJUuW8P7771NSUsL9999vaR8cHMzgwYP55JNPLOcOHDjAoEGDGDRoEGBOugYNGsTChQstbSZPnsyKFStYuHAhoaGhJCQksGPHjmoFPBqrpKSEbdu2MXPmTKv0J1qwyhL2NRTskPc17UgiJoRoN4qDpwDQ/eR/MFY0ruqaEA2xd+9eJkyYgJ+fH4qisG3btmptVq9eTUBAAA4ODkRERBAbG9v8gbYDJSUl3HvvvUyePJklS5ZQVlZGSkpKlTb29vaWr3U6neWxTqfDaDQXF9m9e7dlpCwxMZG+fftaSr9nZmZSVlZmqXh4qYULF/L6669jMpkAc5Ksqmq1Y+PGjVWumz17Nunp6ZSWlhITE0NERITVvicbNmwgPDy8yv5moo2qHBGTvcRaFEnEhBDtRlDkFHJwpiNZJO39t9bhiHagsLCQkJAQVq9eXePzW7ZsYd68eSxatIj4+HhCQkKIiooiMzPT0iY0NJSgoKBqx5kzZ5rrZbQJ8+fPp7CwkDfffBMPDw+6devGypUrG/x9zMvLw8vLCwcHBxISEkhMTLQ8N3PmTFatWsXQoUN55ZVXqlw3btw4Hn74YU6fPm2V12MNtra2rFq1SuswRHOQEvYtkkwEFUK0Gw6OTiR0GMewzC2YDmyEGyY3uI+iglx42bxgn2eOYXB2s26Qok0ZO3YsY8eOrfX5V199lZkzZ1rW/KxZs4Yvv/yS9evXM3/+fIArlh+3htLS0iob+ubl5TX5PZvTN998w+rVq/n+++8tUzWfe+455s+fz4ULF9i6dWu9+7r55pv517/+Rf/+/RkwYIBlo+Z169bRoUMHxo0bx/XXX094eDgTJ06ssoHy3Llzrfq6rtZDDz2kdQiiudSRiMn7mnYkERNCtCudbpgFH28huPBnzp9Jw8cvoMF9GBTzH6yy6464GmVlZcTFxbFgwQLLOZ1OR2RkJNHR0c0ay/Lly3nhhRea9Z7NacyYMZSXl1c599BDD1VJRAICAjhw4IDl8aVVJocNG8YXX3wBmKcv7tixo9o9goKCmDFjBgBOTk4cPnzYqq9BiKvicckaMZMJLitUI+9r2pCpiUKIdqVb3yEk2w7ARjHx2zdrtA5HtGOV64guL7zg6+vLuXPn6t1PZGQkd911F1999RX+/v5Vkri6nrvUggULyM3NtRwnT55s3IsSQrRMrp1B0YGxFAozr9xeNAsZERNCtDuFQffBL8/SLf3fmIxL0en1V75IiBbqu+++a9Rzl7K3t69SqEII0cbobc3JWO5J86iYi/U2BReNJyNiQoh2J+imqeThhJ+aSdIPn2sdjminvL290ev1ZGRkVDmfkZFh2X9KCCGspo4S9kIbkogJIdodB4MzyT7mAgoVsRs0jka0V3Z2dgwZMoSdO3dazplMJnbu3Mnw4cM1jEwI0SZZStinaRqG+JMkYkKIdqnD9Q8DEFzwI1nnZD2MaBoFBQUkJCRYKh+mpqaSkJBg2QB43rx5rF27lk2bNpGcnMyjjz5KYWGhpYqiEEJYjZSwb3FkjZgQol3qPiCCo1sDCaw4yrFv3sH7gX/U6zqdTs9hu2AAeupkbZmo24EDBxg9erTl8bx58wCYOnUqGzduZPLkyZw/f56FCxdy7tw5QkND2bFjR7UCHkIIcdVqScTkfU07kogJIdqtvP73wcGFdEn9FJNxcb2KdjgYnBnw7A/NEJ1oC66//npUVa2zzezZs5k9e3YzRSSEaLcsJezTq5yW9zXttIqpiXv27EFRlBqP/fv3A7B48eIan3dycqqz7/3793PjjTfi7u6Oh4cHUVFRJCYmNsfLEkJobMCYaRSojvirZzkS/aXW4QghhBBNxzIidtK8l5jQXKtIxK655hrOnj1b5XjooYfo3r07YWFhADz99NPV2vTv35+77rqr1n4LCgq4+eab6dq1KzExMfzwww+4uLgQFRVVbeNHIUTbY3B247B3FAAlMVK0QwghRBvm4geKHkzlUFD/vQpF02kViZidnR0dO3a0HF5eXnz++edMnz4dRVEAcHZ2rtImIyODI0eOWHa5r0lKSgrZ2dm8+OKLBAYGMmDAABYtWkRGRgbp6em1XieEaDu8RpqLdgzM20t25ukrti8qyOXi4i5cXNyFooLcpg5PCCGEsA69Dbh1Nn99yToxeV/TTqtIxC63fft2Lly4UGdVqXfffZc+ffowYsSIWtsEBgbi5eXFunXrKCsro7i4mHXr1tGvXz8CAgKaIHIhREvTK+Rajtn0wk6p4Ndv1tbrGg/y8CCviSMTQgghrKxyL7GLVQcc5H1NG60yEVu3bh1RUVH4+/vX+HxJSQkffvhhnaNhAC4uLuzZs4cPPvgAR0dHnJ2d2bFjB//73/+wsam9jklpaSl5eXlVDiFE63Wx770A+P3+CarMmxdCCNFWyabOLYqmidj8+fNrLcJReaSkpFS55tSpU3z99dd1Jllbt24lPz+fqVOn1nn/4uJiZsyYwbXXXsvPP//Mjz/+SFBQEOPGjaO4uLjW65YvX46bm5vl6NKlS8NeuBCiRek/5kGKVHu6mk6THPO11uEIIUSzSk1NZfTo0fTv35/g4GAKCwu1Dkk0FUvBDlmC0xJoWr7+qaeeYtq0aXW26dGjR5XHGzZswMvLi1tvvbXWa959913Gjx9/xX1YNm/eTFpaGtHR0eh0Oss5Dw8PPv/8c+65554ar1uwYIFlLxiAvLw8ScaEaMWcXT2I9bqJ8OwvKIxeB8PHah2SEEI0m2nTprFkyRJGjBhBdnY29vb2WockmkotJeyFNjRNxHx8fPDx8al3e1VV2bBhAw888AC2trY1tklNTWX37t1s3779iv0VFRWh0+ksBT8Ay2NTHdOT7O3t5ZeUEG2M+3UPw/YvGJi7h9wLGbh5yYa6QrRF8+fP57XXXuOOO+5g8+bNWoejucOHD2Nra2tZU+/p6alxRKJJ1bKps9BGq1ojtmvXLlJTU3nooYdqbbN+/Xo6derE2LHVP9HeunUrffv2tTy+6aabuHjxIo8//jjJyckcPnyY6dOnY2Njw+jRo5vkNQghWqbeoSM4ru+OvVJO8tfvah2OEKKJLFiwgFdeeYWPPvqI3377Tetw6rR3714mTJiAn58fiqKwbdu2GtutXr2agIAAHBwciIiIIDY2tt73OHbsGM7OzkyYMIHBgwezbNkyK0UvWqTKRCz3FJiM2sYiWlcitm7dOq655poqydSlTCYTGzduZNq0aej1+mrP5+bmcvToUcvjvn378t///peDBw8yfPhwRowYwZkzZ9ixYwedOnVqstchhGh5FJ2OrMC/AOD728e1Fu3Q6fQcs+nNMZve6HTVf88IIVo2Nzc3ZsyYgU6n49ChQ1qHU6fCwkJCQkJYvXp1rW22bNnCvHnzWLRoEfHx8YSEhBAVFUVmZqalTWhoKEFBQdWOM2fOUFFRwb59+3jrrbeIjo7m22+/5dtvv22Olye04NIJdLZgqoD8s4C8r2lJUVVV1TqI1i4vLw83Nzdyc3NxdXXVOhwhRCPl5VzA9rW+OCplpNzyGX3Db9I6pHZBfoe2PHX9TEpKSkhNTaV79+44ODhc3Y1yT0P2cfDs+ef+Rs0gPz8fPz8//va3v/H88883232vhqIobN26ldtuu63K+YiICIYOHcqbb74JmD+U7tKlC3PmzGH+/PlX7Dc6OprFixfz9dfmQkUvv/wyAM8880yN7a368xfaeD0ULqbCtK8g4Fqto2mT6vu+1qpGxIQQoim5unuR5HEjAHk/rtM4GiFaCVWFssKGH7FrYWUQbJpg/jd2bcP7aORnyc899xwFBQUkJSVZ+ZtRs2XLluHs7FznceJEw9fslJWVERcXR2RkpOWcTqcjMjKS6OjoevUxdOhQMjMzuXjxIiaTib1799KvX78GxyJaEVkn1mJoWqxDCCFaGpdrHoKv/kdwzk5yL2bh5uGtdUhCtGzlRbDM7+r6UE3w1dPmoyGePQN2Tg26JC4ujjVr1jBu3LhmS8QeeeQR7r777jrb+Pk1/HuYlZWF0WisViXa19e32vY/tbGxsWHZsmWMHDkSVVUZM2YM48ePb3AsohWRRKzFkERMCCEuERh2A2k7uhJgOsHBb9YRMfnvVZ4vLswn5+VBALg/8wuOTi5ahCmEaASTycSsWbOYPXs2ERERTJkyhfLy8lorMdfkzJkzPPPMM3z44Yf1vsbT07NFVyMcO3ZsjUXORBt1WQl7eV/TjiRiQghxCUWn41zvewg4+n94H/0I1fQMiu7PWdyqaqIT5wEoUmvf5kKIdsPWYB6Zaoi8M7A63DwSVknRw+Mx4NqAkSFbQ4Nuu2rVKrKysnjxxRc5ceIE5eXlpKSkEBwcXO8+/Pz8GpSEgXlq4pWqER45coSuXbs2qF9vb2/0ej0ZGRlVzmdkZNCxY8cG9SXakf/f3p2HRVW2fwD/zrAPq4gso7KoiCCIKEpqib75amqkuVGZkdryiqSkkWW5VK6UiYnmUm5l+eLVD0srhXwRlxQyxVJJTXElwYVFkXXm+f1BnBxhgNFhBuT7ua65ap5zzzn3zDmc2+csz3Go6ohVnhFjXTMe3iNGRHQP34EvoVSYob06C6cz9hk7HaLGTSarvDxQl5eTNxC2rLLzBVT+Nyyusl2X+dz1HNC6XLlyBbNmzcKKFStgbW0Nb29vWFhYSJcnnj9/HoGBgRg7diy8vb0xadIkbNu2DSEhIfD398eZM2ekuODgYCk+IiICvr6+CA8Ph7bxz/7zn/8gIyOj1tf9XJpobm6O7t27Y/fu3VKbWq3G7t270atXL53nR82EdGkiH+psbDwjRkR0D/uWLjhs3w/Bhcko2LcG6BZq7JSIHj7dXgDaPw7cPAc4tmvwUROnTJmCwYMHY+jQoQAq743y9fXVuE8sMzMTCQkJ6NChA/z9/WFjY4O0tDSsXr0a8fHxWLZsmcY8MzMz8fXXX8PX1xf9+/fH/v37pQcj3+1+L028ffu2xrPOsrKykJGRAUdHR+ns2bRp0xAREYHg4GD07NkTcXFxKCoqwvjx43VeHjUT0rPErgCqCuPm0syxI0ZEVAPrXhOBXcnwv5mMWwU3YWvfeO/vIGqy7FsbZNj6HTt24H//+x8yMzM12gMCAjQ6Yj4+PvDx8QEA+Pr6SqMRBgQE4Icffqg2Xx8fH/j5+QEAgoKCcP78+Ro7Yvfr8OHD6N+/v/R+2rRpAICIiAhs2LABABAeHo5r165h9uzZuHr1Krp27YqdO3dWG8CDSGLjCpiYA6oyoPAKYOZg7IyaLXbEiIhq0ClkEC4mt4a7+grSktYjZPR0Y6dERPfpySefRF5eXrX2TZs2aby3sLCQ/l8ul0vv5XI5VCpVtc/fHW9iYlJjzIPo16+f1ssd7xYVFYWoqCi9LpseYnI5YN+28hl++ReBVg7GzqjZ4j1iREQ1kMnl+Ktd5XDTjn98ZeRsiIiI9IhD2DcK7IgREWnRcdCrKBOm8Fb9iTMZ+wEAMpkc5+VtcV7eFjIZd6FERNQE3TWEPeua8chEfc55U60KCwthb2+PgoIC2NnZGTsdItKjX5c8je63/oe0lsMR8tpGY6fzUOI+tPGpbZ2UlJQgKysLXl5esLS0NFKGZCxc/w+JfUuA3e8Dgc8CT68ydjYPnfrWNXZ7iYhqYRFSOfJY5+u7UHSrwMjZEBER6cE9zxIj42BHjIioFp17D8VlmRtsZMU4kbzB2OkQERE9ON4j1iiwI0ZEVAuZ3ASXvUYDAOxOfoXiols4/74/zr/vj+KiW0bOjoiI6D5UnRErvILiwpusa0bCjhgRUR28B72CcmGCThV/4MLJX+CpvgRP9SUIoTZ2akRERLqzcQZMLQGhBgqvsK4ZCTtiRER1aOnSFr/b9gEA5B9cb+RsiIiIHpBMVvksMQCywktGTqb5YkeMiKgezHpWDtrhe+MnI2dC9I+nn34aLVq0wKhRozTa8/PzERwcjK5du8Lf3x9r1641UoZE1Gj9PYS9LJ8dMWNhR4yIqB469xmGbJkz7GV3jJ0KkWTq1KnYtGlTtXZbW1vs3bsXGRkZSEtLw4IFC3Djxg0jZEhEjdbfA3bICy8bOZHmix0xIqJ6kJuY4KLHqLoDiQyoX79+sLW1rdZuYmIChUIBACgtLYUQAnxsKBFp+LsjxksTjYcdMSKieuow8FVUCJn0/nr2eeMlAyDn8lkcP7AdOZfPMo9GaO/evQgLC4NSqYRMJsO2bduqxaxYsQKenp6wtLRESEgI0tPT9bb8/Px8BAYGok2bNoiJiYGTk5Pe5k1ED4Gqjlg+z4gZi6mxE3iYFBUVwcTEpFq7iYmJxtPni4qKtM5DLpfDysrqvmLv3Lmj9YinTCaTjo7qGltcXAy1WvsoOtbW1vcVW1JSApVKpZdYhUIBmazyH8ilpaWoqKjQS6yVlRXk8srjFWVlZSgvL9dLrKWlpbSt6BJbXl6OsrIyrbEWFhYwNTXVObaiogKlpaVaY83NzWFmZqZzrEqlQklJidZYMzMzmJub6xyrVqtRXFysl1hTU1NYWFgAAIQQuHNH+6WHti3dcEHujvbiAoQQcFj/GFL930Hw8Khqsbr83d/PPiL9mzh0/20ubMrVUAkZUv1nVsvDEPuI9G/i4PfrHNhAaM2jrn1Ebd+3KSsqKkJgYCAmTJiAESNGVJv+3//+F9OmTcOqVasQEhKCuLg4DBo0CKdOnYKzszMAoGvXrjXuo5KSkqBUKmtdvoODA44dO4acnByMGDECo0aNgouLi36+HBE1fQ6eAAB54SX8hVaVTTKeozEoQQ+soKBAAND6GjJkiEa8QqHQGhsaGqoR6+TkpDU2ODhYI9bDw0NrrJ+fn0asn5+f1lgPDw+N2ODgYK2xTk5OGrGhoaFaYxUKhUbskCFDav3d7jZq1KhaY2/fvi3FRkRE1Bqbm5srxUZGRtYam5WVJcW+8cYbtcYeP35cip0zZ06tsenp6VJsbGxsrbEpKSlSbHx8fK2xO3bskGLXr19fa2xCQoIUm5CQUGvs+vXrpdgdO3bUGhsfHy/FpqSk1BobGxsrxaanp9caO2fOHCn2+PHjtca+8cYbUmxWVlatsZGRkVJsbm5urbFjRo0Qqtn2QsyxE7fftq01tn+Qp/g5fqL0qi22V+c2GrGW5qZaY4M6uIqDS58Rqtl2QsyxE04KmdbYTu5OGvN1dbTRGuvl6qAR6+XqoDXW1dFG/Bw/UcojWCnXGqvLPqKgoEA8rACIxMREjbaePXuKyZMnS+9VKpVQKpVi4cKFOs07JSVFjBw5staYSZMmia1bt2qdXlJSIgoKCqTXpUuXtK6T4uJicfLkSVFcXKxTnvRw4Pp/iNzKFWKOnRBz7IUoLzF2Ng+Vqr5BXXWNZ8SIiOqppCgfcpmoV2zL0svodW1rvWJblF3ViJUL7Wdp7cqv4ZH8HwCZ1hCJTcVNjflaqLSfebJSFWrEWqlua421UBX9E1uPPKi6srIy/Prrr3j77belNrlcjgEDBuDgwYMPPP+cnBwoFArY2tqioKAAe/fuxaRJk7TGL1y4EO+9994DL5can6ysLEyYMAE5OTkwMTHBoUOHNM5SUzNm7QSYKYDyO0DBZaBle2Nn1OzIhODduw+qsLAQ9vb2yM7Ohp2dXbXpvDSx5lhemshLE5vapYk3rl5A6029YSKrHPjgTjmgFjL86vQUhIXmgAlyuQwWZv8c6you1b6OdYmVyWSwEsXoce0byGVAUVnl33FNechkMlia/zPfktJyaNvhywBYWpjpFCsrvYUe175BaYWA+u/gCiHHjfH74NK6nRRf1z6isLAQSqUSBQUFNe5DHwYymQyJiYkYPnw4ACA7OxutW7fGzz//jF69eklxb775JlJTU5GWllav+Q4YMADHjh1DUVERHB0dsXXrVvTq1Qvp6el45ZVXpEE6Jk+ejFdffVXrfEpLSzX+rgsLC9G2bdsa10lJSQmysrLg5eWlUduocQoNDcW8efPw2GOP4ebNm7Czs5P2/feD6/8hsyIEuPYHMC4RaP8vY2fz0KjqG9RV13hGTI+sra3rdZRJlyNRusTe3XnSZ+zdnT19xuqyA9cl1sLCQvqHtT5jzc3NpX/cGyvWzMxM6uToM9bU1LTehVmXWBMTk3pvw7rEyuXyBomVyWS1xlq390Na57fR88QCyGQyWJjJcKTLXPQbGV2v+etT+jdd0O2392BtrkaFkONIlzlGzcNUVpnHiS5z0LNjgNb4mvYRtR1kodr99FPNz7Xr2bMnMjIy6j0fXfaFdH9u3LgBX19fpKenw9PT0yDLPHHiBMzMzPDYY48BABwdHTWmP/PMM+jRowemT59ukHyoEXJwB679gZzNr6JQbo+20/bAUmFj7KyaDd6RR0Skg4Ah/8HfJ1SRPTYVPY3Q+QGAniOjcePlwzjx769w4+XDzT6PpsbJyQkmJibIycnRaM/JyYGrq6uRsqKGNH/+fAwbNkzqhNVnVE3gwUbWPHPmDGxsbBAWFoZu3bphwYIFGtPfffddzJ8/HwUFBff7taip+3vkRBd1LrwrzkCt5oExQ2JHjIjoPjkpPY26fJc27dG5z1C4tDHudf2NJY+mxNzcHN27d8fu3bulNrVajd27d2tcqkgPhzt37uDzzz/HxIkTpbaqUTVXrFih9XNVI2vOmTMHR44cQWBgIAYNGoTc3FwppmvXrvD396/2ys7ORkVFBfbt24eVK1fi4MGDSE5ORnJysvRZf39/tG/fHl9++WXDfHFq/P7uiJFxsCNGRETUAG7fvo2MjAzpEsGsrCxkZGTg4sWLAIBp06Zh7dq12LhxIzIzMzFp0iQUFRVh/PjxRsz64TZ69Gi0atUKa9askdrS0tJgbm6OpKSkBlvuDz/8AAsLCzzyyCNS2+DBgzFv3jw8/fTTWj/38ccf4+WXX8b48ePh5+eHVatWQaFQYN26dVJMRkYGjh8/Xu2lVCrRunVrBAcHo23btrCwsMCQIUOqXbIaFhaGLVu26P07UxPh4GHsDJo1dsSIiIgawOHDhxEUFISgoCAAlR2voKAgzJ49GwAQHh6Ojz76CLNnz0bXrl2RkZGBnTt3Nt1nfZUVaX+Vl+gQW1y/2PvwySefYOTIkXj//fcBVHaWn3/+eUyaNAkDBw68r3nWx759+9C9e3edPlM1suaAAQOkNl1H1uzRowdyc3ORl5cHtVqNvXv3wtfXVyOmZ8+eSE9Pr3UQJnqI8YyYUXGwDiIiogbQr18/raPTVomKikJUVPUHgjdJC2p5wLT3QGDsXY9z+LBD5ZDZNfF4FBj//T/v4wKAOzeqx83V/b4mNzc3REdHY/Xq1bhx4wZiYmJgYWGBxYsX6zwvXVy4cKHOB3Df6/r161CpVNU65i4uLvjjjz/qNQ9TU1MsWLAAffv2hRACAwcOxJNPPqkRo1QqUVZWhqtXr8LDg2dHmh2eETMqdsSIiIio2ejYsSMUCgVmz56NzZs3Iz09vcGHYS8uLjbaUO+DBw/G4MGDtU6vGsm0tkd30ENM4QhhqoCsguvfGNgRIyLSUR4qnwnCwb6J7jIzW/s0mYnm+5g/a4m9566J6N/vP6cayOVyBAQEYOXKlYiNjUVgYKBe518TJycn5OXl6fwZQ4ysefPmTQBAq1at9DZPakJkMgiHtpBdP4VbUMCk7k+QHvEeMSIiHShs7NFi7iW0mHsJCht7Y6dD1HiYW2t/mVnqEGtVv9j7VHW5aLdu3TSen3X+/HkEBgZi7Nix8Pb2xqRJk7Bt2zaEhITA398fZ86ckWKffPJJdO/eHf7+/ti8eTMA4ODBg+jZsycqKiqQk5MDb29vXL16FQAQFBSEkydP6pSnoUbWPH78ONq0aQMnJye9zZOaFrmjFwDA9sn5rGsGxjNiRERE1GzExcUhLS0NXbt2hVyueTw6MzMTCQkJ6NChA/z9/WFjY4O0tDSsXr0a8fHxWLZsGQBg06ZNcHR0RFFREXr06IFRo0ahV69e6Nu3LxYvXoyjR49i9uzZ0pmrQYMG4e2330ZeXh5atGgBoHKgkD///OfMYNWomo6OjnB3rxxAYdq0aYiIiEBwcDB69uyJuLg4vY+suW/fvgYdqISagKoBO/IvGjePZohnxIiIiKhZ+P333/H2228jMjISJ0+eREVFhcZ0Hx8f+Pj4wMTEBL6+vtKIhQEBATh//rwUt3TpUgQGBqJ37964ePGi9EiCefPm4YsvvkBJSQnGjRsnxQcEBKBbt25ISEiQ2uoaVRNo+JE1S0pKsG3bNrz88st6mR81UVUDduRdMG4ezRA7YkREOii5cxsnFjyKEwseRcmd28ZOh4jqqaSkBM899xzCw8Mxb948lJWVVRt90MLinzs/5XK59F4ul0OlUgEAUlJScODAAaSlpeHYsWPo1KmTNPR7bm4uysrKpBEP7zZ79mwsW7YMarUawD+jat772rBhg8bnoqKicOHCBZSWliItLQ0hISF6+03Wr1+Pnj17ajzfjJqfMoUzAODOyR9Z1wyMHTEiIh2o1Sp0Lvsdnct+h1qtqvsDRNQovPXWWygqKkJ8fDxatGgBDw8PxMXFITu7lkFGalBYWIiWLVvC0tISGRkZOHbsmDTt5ZdfxvLly9GjRw8sWbJE43NDhw7FK6+8gitXrujl++iDmZkZli9fbuw0yMhUtpWPVlCIYtY1A+M9YkRERPRQS0pKwooVK5CamgpbW1sAwLvvvou33noLN27cQGJiYr3n9cQTT+DTTz+Fn58fOnfuLD2o+fPPP4ezszOGDh2Kfv36oWfPnhg2bBh8fHykz0ZHR+v1ez2ol156ydgpUCMg7NtK/y/LywJsuhovmYIrwM2zgGN7wL71Q5+HTNT1tEmqU2FhIezt7ZGdnQ1XV1fIZDIAQFlZGcrLy2FqaqpxuUNRURGAymd3VN0oXF5ejrKyMpiYmGg8a0SX2Dt37kAIAUtLS5iYVA5AWlFRgdLSUsjlculZIbrGFhcXQ61Ww8LCAqamlX13lUqFkpISnWJlMhkUCoUUW1JSApVKBXNzc5iZmekcq1arUVxcDACwtv5nBK3S0lJUVFTAzMwM5ubmOscKIaTnqSgUimrrU5fY+qx7fWwnNa1PfWwnVevzQbeTe9fng24n2tbng24nd69PbbEVZcVQfOQOIQSuR/4BhY29Tuv+freTh3kfkZeXB0dHRxQUFMDOzg5kfFV1raZ1UlJSgqysLHh5eRnt2VhkPFz/D5/Sn1fBImkGAEAAkAVPBNr1M3wi5/YAh9dVZQEETzB+HjI5ELYM6PaCTrOobR+qQdADKygoEJVrCyI3N1dqnzdvngAgXnrpJY14hUIhAIisrCypbenSpQKAeO655zRinZycBABx/PhxqW3NmjUCgBg2bJhGrIeHhwAg0tPTpbYvv/xSABADBgzQiPXz8xMAREpKitSWmJgoAIjevXtrxAYHBwsAYseOHVJbUlKSACACAwM1YkNDQwUAkZCQILXt379fABAdOnTQiB0yZIgAINavXy+1HT16VAAQSqVSI3bUqFECgIiPj5faTp8+LQAIe3t7jdiIiAgBQMTGxkptly9fFgCEqampRmxkZKQAIObMmSO15eXlSeuzrKxMan/jjTcEAPHGG29IbWVlZVJsXl6e1D5nzhwBQERGRmosz9TUVAAQly9fltpiY2MFABEREaERa29vLwCI06dPS23x8fECgBg1apRGrFKpFADE0aNHpbb169cLAGLIkCEasR06dBAAxP79+6W2hIQEAUCEhoZqxAYGBgoAIikpSWrbsWOHACCCg4M1Ynv37i0AiMTERKktJSVFABB+fn4asQMGDBAAxJdffim1paenCwDCw8NDI3bYsGECgFizZo3Udvz4cQFAODk5acQ+99xzAoBYunSp1JaVlSUACIVCoRH70ksvCQBi3rx5Ultubq60Pu82depUAUDMnDlTFN3KF2KOnbj9tq0Ue/v2bSl25syZAoCYOnWqxjy4j6hU0z5i165dAoAoKCgQ1DhU1bWa1klxcbE4efKkKC4uNkJmZGxc/w+Z/MtCPcdeiDl2fGl7zW0hRP7lOn/Ku9W2D70bL00kIiIiImqObp6FDDVcHNfKF7A04DPFSgqAa5mNMw+hAm6ea5BLFHlpoh7w0kRemqgtlpcm8tLEe9cnL03kpYlNAS9NJG24/h8yBVcglnbW7IzJTIDo3w17j1bBFSDOHxDqhyKP+l6ayI6YHtT7OlAiavLu3C4APvSufBNzBgobAx6pe0hxH9r4sCNG2nD9P3xKf14N811vQiYDBOSQPaX7PVF6cWQTsD268gyUzAQIi2uyedS3rvHSRCIiHShs7IH3co2dBhERkV5Y9H4V6PwkcPMcZI7tjDdaYbcXgPaPV14G2EzyYEeMiIiIdMYLaponrveHlH1r4w4X30zz4AOdiYiIqN6q7hksKyszciZkDFX30Vbdh0tE949nxIiIdFBSXIRTnwwHAPhM2QZLK+vaP0D0kDE1NYVCocC1a9dgZmYmDRJDD7eqwYxyc3Ph4OAgdcip6WNdMx52xIiIdKBWVSCwOB0AcEdVYeRsiAxPJpPBzc0NWVlZuHDhgrHTIQNzcHCAq6ursdMgPWJdMx52xIiIiEgn5ubm8Pb25uWJzYyZmRnPhBHpETtiREREpDO5XM7hy4mIHgAv7CYiIiIiIjIwdsSIiIiIiIgMjB0xIiIiIiIiA+M9YnpQ9XDDwsJCI2dCRA3tzu1CVJRW/s3fKSxEhVpm5Iyavqp9Jx8U23iwrhE1H6xr+lffuiYTrHwP7PLly2jbtq2x0yAiatIuXbqENm3aGDsNAusaEZE+1FXX2BHTA7VajezsbNja2kIm0+0oQmFhIdq2bYtLly7Bzs6ugTJkHsyDeTCPxpuHEAK3bt2CUqnkw4EbCdY15sE8mAfzaPi6xksT9UAulz/wUVw7OzujbnDMg3kwD+ZhzDzs7e31nA09CNY15sE8mAfzaPi6xkOPREREREREBsaOGBERERERkYGxI2ZkFhYWmDNnDiwsLJgH82AezIN5UJPXWLYH5sE8mAfzaOx5cLAOIiIiIiIiA+MZMSIiIiIiIgNjR4yIiIiIiMjA2BEjIiIiIiIyMHbEiIiIiIiIDIwdMSNZuHAhevToAVtbWzg7O2P48OE4deqUUXNatGgRZDIZoqOjjbL8K1eu4Pnnn0fLli1hZWWFgIAAHD582KA5qFQqzJo1C15eXrCyskL79u3xwQcfoKHHtNm7dy/CwsKgVCohk8mwbds2jelCCMyePRtubm6wsrLCgAEDcObMGYPmUV5ejhkzZiAgIADW1tZQKpV44YUXkJ2dbdA87vWf//wHMpkMcXFxRskjMzMTTz31FOzt7WFtbY0ePXrg4sWLBs3j9u3biIqKQps2bWBlZQU/Pz+sWrVKrzkA9dtvlZSUYPLkyWjZsiVsbGwwcuRI5OTk6D0XanxY16pjXWNdq08e92Jdaz51jR0xI0lNTcXkyZNx6NAhJCcno7y8HAMHDkRRUZFR8vnll1+wevVqdOnSxSjLz8vLQ58+fWBmZoYff/wRJ0+exJIlS9CiRQuD5rF48WJ8+umniI+PR2ZmJhYvXozY2FgsX768QZdbVFSEwMBArFixosbpsbGx+OSTT7Bq1SqkpaXB2toagwYNQklJicHyuHPnDo4cOYJZs2bhyJEj+L//+z+cOnUKTz31lF5zqCuPuyUmJuLQoUNQKpV6z6E+eZw9exaPPvooOnXqhD179uC3337DrFmzYGlpadA8pk2bhp07d+LLL79EZmYmoqOjERUVhe+++06vedRnv/X6669j+/bt2Lp1K1JTU5GdnY0RI0boNQ9qnFjXNLGusa7VN4+7sa5VajZ1TVCjkJubKwCI1NRUgy/71q1bwtvbWyQnJ4vQ0FAxdepUg+cwY8YM8eijjxp8ufcaOnSomDBhgkbbiBEjxNixYw2WAwCRmJgovVer1cLV1VV8+OGHUlt+fr6wsLAQX3/9tcHyqEl6eroAIC5cuGDwPC5fvixat24tjh8/Ljw8PMTSpUsbLAdteYSHh4vnn3++QZdbnzw6d+4s3n//fY22bt26iXfeeadBc7l3v5Wfny/MzMzE1q1bpZjMzEwBQBw8eLBBc6HGh3WNda0K61r98mBd+0dzqWs8I9ZIFBQUAAAcHR0NvuzJkydj6NChGDBggMGXXeW7775DcHAwRo8eDWdnZwQFBWHt2rUGz6N3797YvXs3Tp8+DQA4duwY9u/fj8GDBxs8lypZWVm4evWqxvqxt7dHSEgIDh48aLS8gMrtViaTwcHBwaDLVavVGDduHGJiYtC5c2eDLvvuHL7//nt07NgRgwYNgrOzM0JCQmq93KSh9O7dG9999x2uXLkCIQRSUlJw+vRpDBw4sEGXe+9+69dff0V5ebnGttqpUye4u7sbfVslw2NdY13ThnWtOtY1Tc2lrrEj1gio1WpER0ejT58+8Pf3N+iyt2zZgiNHjmDhwoUGXe69zp07h08//RTe3t7YtWsXJk2ahClTpmDjxo0GzeOtt97CM888g06dOsHMzAxBQUGIjo7G2LFjDZrH3a5evQoAcHFx0Wh3cXGRphlDSUkJZsyYgWeffRZ2dnYGXfbixYthamqKKVOmGHS5d8vNzcXt27exaNEiPPHEE0hKSsLTTz+NESNGIDU11aC5LF++HH5+fmjTpg3Mzc3xxBNPYMWKFejbt2+DLbOm/dbVq1dhbm5e7R8wxt5WyfBY11jXasO6Vh3rmqbmUtdMH3gO9MAmT56M48ePY//+/QZd7qVLlzB16lQkJyfr/dpfXanVagQHB2PBggUAgKCgIBw/fhyrVq1CRESEwfJISEjA5s2b8dVXX6Fz587IyMhAdHQ0lEqlQfNo7MrLyzFmzBgIIfDpp58adNm//vorli1bhiNHjkAmkxl02XdTq9UAgGHDhuH1118HAHTt2hU///wzVq1ahdDQUIPlsnz5chw6dAjfffcdPDw8sHfvXkyePBlKpbLBzggYa79FTQPrGutaU8O6xrpmjP0Wz4gZWVRUFHbs2IGUlBS0adPGoMv+9ddfkZubi27dusHU1BSmpqZITU3FJ598AlNTU6hUKoPl4ubmBj8/P402X19fvY/SU5eYmBjp6GFAQADGjRuH119/3ahHVl1dXQGg2gg9OTk50jRDqipWFy5cQHJyssGPGu7btw+5ublwd3eXttsLFy5g+vTp8PT0NFgeTk5OMDU1Nfp2W1xcjJkzZ+Ljjz9GWFgYunTpgqioKISHh+Ojjz5qkGVq22+5urqirKwM+fn5GvHG2lbJOFjXKrGuace6pol1TVNzqmvsiBmJEAJRUVFITEzE//73P3h5eRk8h8cffxy///47MjIypFdwcDDGjh2LjIwMmJiYGCyXPn36VBsu9PTp0/Dw8DBYDkDlCEpyueafhYmJiXSUyBi8vLzg6uqK3bt3S22FhYVIS0tDr169DJpLVbE6c+YMfvrpJ7Rs2dKgyweAcePG4bffftPYbpVKJWJiYrBr1y6D5WFubo4ePXoYfbstLy9HeXm5QbbbuvZb3bt3h5mZmca2eurUKVy8eNHg2yoZHuuaJtY17VjXNLGuaWpOdY2XJhrJ5MmT8dVXX+Hbb7+Fra2tdJ2pvb09rKysDJKDra1ttWv3ra2t0bJlS4Nf0//666+jd+/eWLBgAcaMGYP09HSsWbMGa9asMWgeYWFhmD9/Ptzd3dG5c2ccPXoUH3/8MSZMmNCgy719+zb+/PNP6X1WVhYyMjLg6OgId3d3REdHY968efD29oaXlxdmzZoFpVKJ4cOHGywPNzc3jBo1CkeOHMGOHTugUqmk7dbR0RHm5uYGycPd3b1aoTQzM4Orqyt8fHz0lkN98oiJiUF4eDj69u2L/v37Y+fOndi+fTv27Nlj0DxCQ0MRExMDKysreHh4IDU1FZs2bcLHH3+s1zzq2m/Z29tj4sSJmDZtGhwdHWFnZ4fXXnsNvXr1wiOPPKLXXKjxYV3TxLrGulbfPFjXmnFde+BxF+m+AKjxtX79eqPmZaxhfoUQYvv27cLf319YWFiITp06iTVr1hg8h8LCQjF16lTh7u4uLC0tRbt27cQ777wjSktLG3S5KSkpNW4PERERQojKoX5nzZolXFxchIWFhXj88cfFqVOnDJpHVlaW1u02JSXFYHnUpKGG+a1PHp9//rno0KGDsLS0FIGBgWLbtm0Gz+Ovv/4SL774olAqlcLS0lL4+PiIJUuWCLVardc86rPfKi4uFpGRkaJFixZCoVCIp59+Wvz11196zYMaJ9a16ljXWNfqk0dNWNeaR12T/Z0EERERERERGQjvESMiIiIiIjIwdsSIiIiIiIgMjB0xIiIiIiIiA2NHjIiIiIiIyMDYESMiIiIiIjIwdsSIiIiIiIgMjB0xIiIiIiIiA2NHjJqUDRs2wMHBwdhpNDmenp6Ii4szyrL79euH6OhonT4zd+5cdO3aVXr/4osvYvjw4XrNqyEY83cmoqaJde3+sK4ZButaw2JHjJqU8PBwnD592thp1NuePXsgk8nQokULlJSUaEz75ZdfIJPJIJPJqsVXvVxcXDBy5EicO3dOijl27BieeuopODs7w9LSEp6enggPD0dubq7BvpehLVu2DBs2bDB2GnX65Zdf8Morrxg7DSJqQljXWNcaM9a1hsWOGDUpVlZWcHZ2NnYaOrO1tUViYqJG2+effw53d/ca40+dOoXs7Gxs3boVJ06cQFhYGFQqFa5du4bHH38cjo6O2LVrFzIzM7F+/XoolUoUFRUZ4qsYhb29fZM4YtyqVSsoFApjp0FETQjrGutaY8a61rDYEaP70q9fP7z22muIjo5GixYt4OLigrVr16KoqAjjx4+Hra0tOnTogB9//FH6jEqlwsSJE+Hl5QUrKyv4+Phg2bJl0vSSkhJ07txZ48jL2bNnYWtri3Xr1gGofglH1an+devWwd3dHTY2NoiMjIRKpUJsbCxcXV3h7OyM+fPnS585f/48ZDIZMjIypLb8/HzIZDLs2bMHwD9H8Hbt2oWgoCBYWVnhX//6F3Jzc/Hjjz/C19cXdnZ2eO6553Dnzp06f6+IiAjpOwBAcXExtmzZgoiIiBrjnZ2d4ebmhr59+2L27Nk4efIk/vzzTxw4cAAFBQX47LPPEBQUBC8vL/Tv3x9Lly6Fl5dXrTncunULzz77LKytrdG6dWusWLFCY/rFixcxbNgw2NjYwM7ODmPGjEFOTk613/qLL76Ap6cn7O3t8cwzz+DWrVtSTFFREV544QXY2NjAzc0NS5YsqfO3AYBFixbBxcUFtra2mDhxYrWjrPdewnE/2x8AHD9+HIMHD4aNjQ1cXFwwbtw4XL9+XWO+U6ZMwZtvvglHR0e4urpi7ty50nQhBObOnQt3d3dYWFhAqVRiypQp0vR7L+HQx29KRIbBusa6xrrGumZo7IjRfdu4cSOcnJyQnp6O1157DZMmTcLo0aPRu3dvHDlyBAMHDsS4ceOkHbparUabNm2wdetWnDx5ErNnz8bMmTORkJAAALC0tMTmzZuxceNGfPvtt1CpVHj++efx73//GxMmTNCax9mzZ/Hjjz9i586d+Prrr/H5559j6NChuHz5MlJTU7F48WK8++67SEtL0/k7zp07F/Hx8fj5559x6dIljBkzBnFxcfjqq6/w/fffIykpCcuXL69zPuPGjcO+fftw8eJFAMA333wDT09PdOvWrc7PWllZAQDKysrg6uqKiooKJCYmQgih03f58MMPERgYiKNHj+Ktt97C1KlTkZycDKBy3QwbNgw3b95EamoqkpOTce7cOYSHh2vM4+zZs9i2bRt27NiBHTt2IDU1FYsWLZKmx8TEIDU1Fd9++y2SkpKwZ88eHDlypNa8EhISMHfuXCxYsACHDx+Gm5sbVq5cWef30XX7y8/Px7/+9S8EBQXh8OHD2LlzJ3JycjBmzJhq87W2tkZaWhpiY2Px/vvvS7/TN998g6VLl2L16tU4c+YMtm3bhoCAgBrz09dvSkSGw7rGusa6xrpmUILoPoSGhopHH31Uel9RUSGsra3FuHHjpLa//vpLABAHDx7UOp/JkyeLkSNHarTFxsYKJycnERUVJdzc3MT169elaevXrxf29vbS+zlz5giFQiEKCwultkGDBglPT0+hUqmkNh8fH7Fw4UIhhBBZWVkCgDh69Kg0PS8vTwAQKSkpQgghUlJSBADx008/STELFy4UAMTZs2eltldffVUMGjRI6/ermk9eXp4YPny4eO+994QQQvTv318sW7ZMJCYmirv/DO+OF0KI7Oxs0bt3b9G6dWtRWloqhBBi5syZwtTUVDg6OoonnnhCxMbGiqtXr2rNQQghPDw8xBNPPKHRFh4eLgYPHiyEECIpKUmYmJiIixcvStNPnDghAIj09HQhRM2/dUxMjAgJCRFCCHHr1i1hbm4uEhISpOk3btwQVlZWYurUqVpz69Wrl4iMjNRoCwkJEYGBgdL7iIgIMWzYMOn9/Wx/H3zwgRg4cKDGci5duiQAiFOnTtU4XyGE6NGjh5gxY4YQQoglS5aIjh07irKyshq/i4eHh1i6dKkQQj+/KREZDutaJdY11rW7sa41LJ4Ro/vWpUsX6f9NTEzQsmVLjaMoLi4uAKBxs+2KFSvQvXt3tGrVCjY2NlizZo10NK3K9OnT0bFjR8THx2PdunVo2bJlrXl4enrC1tZWY7l+fn6Qy+Uabfdz0+/d39HFxQUKhQLt2rW7r/lOmDABGzZswLlz53Dw4EGMHTtWa2ybNm1gbW0tXSP/zTffwNzcHAAwf/58XL16FatWrULnzp2xatUqdOrUCb///nuty+/Vq1e195mZmQCAzMxMtG3bFm3btpWm+/n5wcHBQYoBqv/Wbm5u0vc/e/YsysrKEBISIk13dHSEj49PrXllZmZqfKamXGui6/Z37NgxpKSkwMbGRnp16tRJyr2m+d77HUePHo3i4mK0a9cOL7/8MhITE1FRUaH1ez3ob0pEhsW6xrrGusa6ZkjsiNF9MzMz03gvk8k02qpGTVKr1QCALVu24I033sDEiRORlJSEjIwMjB8/HmVlZRrzyc3NxenTp2FiYoIzZ848cB5VbVV5VBUycdclEOXl5XXOu6751mXw4MEoLi7GxIkTERYWVmsh3rdvH3777TcUFhYiIyOj2g69ZcuWGD16ND766CNkZmZCqVTio48+qlceD+JBvr8hcqlt+7t9+zbCwsKQkZGh8Tpz5gz69u1b63yr5tG2bVucOnUKK1euhJWVFSIjI9G3b1+t28/9fg9j/aZEzR3rGusa6xrrmiGxI0YGc+DAAfTu3RuRkZEICgpChw4dNI7YVJkwYQICAgKwceNGzJgxQ+Moiz60atUKAPDXX39JbXff4NxQTE1N8cILL2DPnj213hsAAF5eXmjfvr3GESVtzM3N0b59+zpHlzp06FC1976+vgAAX19fXLp0CZcuXZKmnzx5Evn5+fDz86szBwBo3749zMzMNO5ZyMvLq3NYZl9f32r3Odybqz5069YNJ06cgKenJzp06KDxsra2rvd8rKysEBYWhk8++QR79uzBwYMHazxqq4/flIgaN9Y11rWasK5RfZkaOwFqPry9vbFp0ybs2rULXl5e+OKLL/DLL79ojIq0YsUKHDx4EL/99hvatm2L77//HmPHjsWhQ4ekSxgelJWVFR555BEsWrQIXl5eyM3NxbvvvquXedflgw8+QExMTJ2XpWizY8cObNmyBc888ww6duwIIQS2b9+OH374AevXr6/1swcOHEBsbCyGDx+O5ORkbN26Fd9//z0AYMCAAQgICMDYsWMRFxeHiooKREZGIjQ0FMHBwfXKzcbGBhMnTpS+n7OzM9555x2NS2lqMnXqVLz44osIDg5Gnz59sHnzZpw4cULjUhl9mDx5MtauXYtnn31WGj3qzz//xJYtW/DZZ5/BxMSkznls2LABKpUKISEhUCgU+PLLL2FlZQUPD49qsfr4TYmocWNdY12rCesa1RfPiJHBvPrqqxgxYgTCw8MREhKCGzduIDIyUpr+xx9/ICYmBitXrpSuP165ciWuX7+OWbNm6TWXdevWoaKiAt27d0d0dDTmzZun1/lrY25uDicnJ42HXerCz88PCoUC06dPR9euXfHII48gISEBn332GcaNG1frZ6dPn47Dhw8jKCgI8+bNw8cff4xBgwYBqLxs4Ntvv0WLFi3Qt29fDBgwAO3atcN///tfnfL78MMP8dhjjyEsLAwDBgzAo48+iu7du9f6mfDwcMyaNQtvvvkmunfvjgsXLmDSpEk6Lbc+lEolDhw4AJVKhYEDByIgIADR0dFwcHCos6hWcXBwwNq1a9GnTx906dIFP/30E7Zv317jP0D09ZsSUePFusa6VhPWNaovmRA6jhVKRERERERED4RnxIiIiIiIiAyMHTEiIiIiIiIDY0eMiIiIiIjIwNgRIyIiIiIiMjB2xIiIiIiIiAyMHTEiIiIiIiIDY0eMiIiIiIjIwNgRIyIiIiIiMjB2xIiIiIiIiAyMHTEiIiIiIiIDY0eMiIiIiIjIwNgRIyIiIiIiMrD/B1UeTTGH4dZGAAAAAElFTkSuQmCC", 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", 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" ] @@ -397,6 +356,8 @@ ], "source": [ "import matplotlib.gridspec as gridspec\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.ticker import MaxNLocator\n", "\n", "svd_min_list = [1e-3, 1e-6]\n", "chi_max_list = np.arange(2, 21, 2)\n", @@ -466,7 +427,7 @@ "id": "b2f8fbd2-b019-4d38-a4f1-62afcf238e3c", "metadata": {}, "source": [ - "From the above plots, we can see that above an MPS bond dimension of 16, the MPS representation of the LUCJ circuit is exact." + "From the above plots, we can see that at an MPS bond dimension of 16 or above, the MPS representation of the LUCJ circuit is exact." ] } ], diff --git a/python/ffsim/tenpy/hamiltonians/molecular_hamiltonian.py b/python/ffsim/tenpy/hamiltonians/molecular_hamiltonian.py index 6df54f9a9..af95fd5e9 100644 --- a/python/ffsim/tenpy/hamiltonians/molecular_hamiltonian.py +++ b/python/ffsim/tenpy/hamiltonians/molecular_hamiltonian.py @@ -105,40 +105,24 @@ def init_terms(self, params): @staticmethod def from_molecular_hamiltonian( - molecular_hamiltonian: MolecularHamiltonian, decimal_places: int | None = None + molecular_hamiltonian: MolecularHamiltonian, ) -> MolecularHamiltonianMPOModel: r"""Convert MolecularHamiltonian to a MolecularHamiltonianMPOModel. Args: molecular_hamiltonian: The molecular Hamiltonian. - decimal_places: The number of decimal places to which to round the input - one-body and two-body tensors. - - .. note:: - Rounding may reduce the MPO bond dimension. Returns: The molecular Hamiltonian as a `TeNPy MPOModel `__. """ - if decimal_places: - one_body_tensor = np.round( - molecular_hamiltonian.one_body_tensor, decimals=decimal_places - ) - two_body_tensor = np.round( - molecular_hamiltonian.two_body_tensor, decimals=decimal_places - ) - else: - one_body_tensor = molecular_hamiltonian.one_body_tensor - two_body_tensor = molecular_hamiltonian.two_body_tensor - model_params = dict( cons_N="N", cons_Sz="Sz", L=1, norb=molecular_hamiltonian.norb, - one_body_tensor=one_body_tensor, - two_body_tensor=two_body_tensor, + one_body_tensor=molecular_hamiltonian.one_body_tensor, + two_body_tensor=molecular_hamiltonian.two_body_tensor, constant=molecular_hamiltonian.constant, ) mpo_model = MolecularHamiltonianMPOModel(model_params)