{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Thin Gaussian Shells with Uniform Prior\n", "\n", "This is a toy model shows how Nested Sampling easily handles likelihoods with multimodal behaviour.\n", "\n", "$L(x) = P(y | x) = \\log(e^{f(x,c_1,r_1,w_1)} + e^{f(x,c_2,r_2,w_2)}) $\n", "\n", "where $f(x,c,r,w) = -\\frac{1}{2 w^2}(|x - c| - r)^2 - \\log(\\sqrt(2 \\pi w^2))$\n", "\n", "and\n", "\n", "$P(x) = \\mathcal{U}[x \\mid -6, 6 \\pi]$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2023-12-20T11:44:43.722658952Z", "start_time": "2023-12-20T11:44:43.680433915Z" }, "execution": { "iopub.execute_input": "2024-09-23T22:36:02.306425Z", "iopub.status.busy": "2024-09-23T22:36:02.306281Z", "iopub.status.idle": "2024-09-23T22:36:03.638527Z", "shell.execute_reply": "2024-09-23T22:36:03.638015Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:jax._src.xla_bridge:Unable to initialize backend 'cuda': \n", "INFO:jax._src.xla_bridge:Unable to initialize backend 'rocm': module 'jaxlib.xla_extension' has no attribute 'GpuAllocatorConfig'\n", "INFO:jax._src.xla_bridge:Unable to initialize backend 'tpu': INTERNAL: Failed to open libtpu.so: libtpu.so: cannot open shared object file: No such file or directory\n", "WARNING:jax._src.xla_bridge:An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n" ] } ], "source": [ "from jax import config\n", "\n", "config.update(\"jax_enable_x64\", True)\n", "\n", "import pylab as plt\n", "import tensorflow_probability.substrates.jax as tfp\n", "from jax import random, numpy as jnp\n", "from jax import vmap\n", "\n", "from jaxns import NestedSampler\n", "from jaxns import Model\n", "from jaxns import Prior\n", "from jaxns import bruteforce_evidence\n", "\n", "tfpd = tfp.distributions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2023-12-20T11:44:43.767084752Z", "start_time": "2023-12-20T11:44:43.721753400Z" }, "execution": { "iopub.execute_input": "2024-09-23T22:36:03.640558Z", "iopub.status.busy": "2024-09-23T22:36:03.640362Z", "iopub.status.idle": "2024-09-23T22:36:04.367444Z", "shell.execute_reply": "2024-09-23T22:36:04.366941Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True log(Z)=-1.7456418720467646\n" ] } ], "source": [ "\n", "\n", "\n", "def log_likelihood(theta):\n", " def log_circ(theta, c, r, w):\n", " return -0.5 * (jnp.linalg.norm(theta - c) - r) ** 2 / w ** 2 - jnp.log(jnp.sqrt(2 * jnp.pi * w ** 2))\n", "\n", " w1 = w2 = jnp.array(0.1)\n", " r1 = r2 = jnp.array(2.)\n", " c1 = jnp.array([0., -3.])\n", " c2 = jnp.array([0., 3.])\n", " return jnp.logaddexp(log_circ(theta, c1, r1, w1), log_circ(theta, c2, r2, w2))\n", "\n", "\n", "\n", "def prior_model():\n", " x = yield Prior(tfpd.Uniform(low=-6. * jnp.ones(2), high=6. * jnp.ones(2)), name='theta')\n", " return x\n", "\n", "\n", "model = Model(prior_model=prior_model,\n", " log_likelihood=log_likelihood)\n", "\n", "log_Z_true = bruteforce_evidence(model=model, S=250)\n", "print(f\"True log(Z)={log_Z_true}\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2023-12-20T11:44:43.932248925Z", "start_time": "2023-12-20T11:44:43.764783650Z" }, "execution": { "iopub.execute_input": "2024-09-23T22:36:04.369439Z", "iopub.status.busy": "2024-09-23T22:36:04.368984Z", "iopub.status.idle": "2024-09-23T22:36:04.823852Z", "shell.execute_reply": "2024-09-23T22:36:04.823307Z" } }, "outputs": [ { "data": { "image/png": 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VjsHXGWcP098e2n36Y8zP/SrFpiuqC6b7Lpj+z/6n/hj711EorhZ7Y20vs/Y/PUyP8ejlefbYy6wux7qMo913AVvDreR7UDJMqsqV4XY4elNkLhgKy8PuZrH73Qdwkqe7a0/Vf+ovqeuxTtOtzXQ/HUAjoswuAHUYik6/X1d2ujI0v7BScoqv4nLGWV+E9ibX5t9djafrsm32xOxlvM30E7hUlu1/12/64+zlW38NhaJ/UIbbIfgqRWZvlC2Av3ZzglGAH+CN/O6t3fT73E03e2nQlVkb0Gy+ucL5AKjX/q7SHkMHUI0ouSbtp1nhmT0XZcQVZuxl3Gykdfn2N/0eJI9zB4LpXcb125XIty7j9Yh8N7vCeYsh4+cBepBFah22Mm5vzFVu/LqhQuWKwUFvoW/95m/6GYTVWIchCmwU8ruu2PT7NQU3wq+Fke7teHpfYKRzOy504UwXAF0404kzF9o9aW8bSVuzJ5x3N5RYFaLUqoAK7b7zrlARJvdbjbiu5Oqw9V7sw41KuQ1PeluUmj1ofwyjHQo4GbKsy3UExgI1GJOMt+Hu3Yqb+0U83Fp7le+LXW60Nntwsc2N7novkeN67VaBnYw7yYK1IgDDiOsyfgFbGQcl39cBVVWuuL5czrMOQjzrICBMFFQwECN/EgYkAhHgHlZHlO9JAqkmiBrCKSeA83yLegKpwYcmPGnFhyZGclFTZYZiu4gbrW6eXHQbSZOvD+dDA2jGh/OMopxwagmgmiBOMp7q2iA6yixQAJQBFa5QEAZVYZpH3oqh5GowPBXdiOteuFJwwwP7/LRurC1AINbFqLunyHcwEI/Id4T87hrRSFBANeM5SRDVBFBLOOWM4jzeNDGKWqtse9LKSNpt5LsLFy46i2y3+nrSFORDzYRA/oEftZqMVxNIDUGUNIynrcxfDHgeUOEkBrwoQOS7GeQ/qxFPvBpbT1zJt+LaoQz3oMLsfdgbaz38HWl4HImIEosCpsPoCWcI5wxTyCOcckKoJJbjhFDJqK5aLKc6xGbWIj8bgHbtZxdGPls/BBfAC3DTfgZgRCnDoS7EnRqCOMEEKgNuoDxgDPnTEignnPKucOr2hUIJcsv1hIpIuTW3AmcxPBbdiDehFNxQxt679sE29K151d6ehoFOROQ7CvxnnyXcuZwISomjkEhKuYFKojhJSFclluoOKMcQqVqgBZHxFnqXb2fAF5FxX2TNECA/G8e5Uu0cRCUhfOF7I5WTQyidHEH+HQmUM4ZzJ8bAQUS+y4C8MFPEqRRjgWpvxFWaqN9QxWmKgcXewzbnqyMQ78PVMNYxwGwYEd/C+KASkjlEFCVEUEYSuUS0l+F1pls84DOIDilFlFkDYjNboKcNLrTDBa0wp1McElycwdUFPNzldycvRLHpt3DwD2jDP+Q0MfGnYQzURbqTxxTKiKDEOYqclJs5mRLF6dPjIcsVijCMeFk00Kp91jrtwMBWsYFSbkMFc6W3vjD1R6ykPxAFLprBTpI/iQFSOxg79iTjsZXxRI7iX9omsl0AVCIiVI7It3braRGZvtAGHZ228g0i3x5u4OSOLE79EfkOAEtkB5bACqLHVJASf4jGca6UO4eTSxIljOfkhChyJ0zjZHUU3QVesA9DxgsioS0M8cJ1Gdfz4nouHJR8X2OGSY7bqaenp+d6H8TlaGxsxNfXF/gxsiQeipgNtu6BBCD5vFD5PRFRZInAAvBPPEuCcz5p7CaO48RxnJiC05CPKI5c4Az0VEJh3aXrfr1EDK5cbXzVsiIaCAoEQrRjjJZbxzw47hvNceLI4lbySORE+wQadgTLMRYhHksV2tEVY5sTt281Uzge9iFxc846GgiSMPh0xFAnge/CKuLcjpOAScbrTuG0BxGRYiRcXQnVNbZSYzaLVyM1vS0rgjAC97H+4BQCjJFjJAZIgKL4sdo3MI7dpJHflUBdXijsQBYUJdqxUotEmc5qv+sRpuEg3+3AszQ0NGCxWPrlHXRb0XACLD59eJ0m8J1Avx7rtUAZ7utGb6YwDKuHPcpiY6xJamNyaB7pZJDAZ0whj5jc06IcCpDVfjlUVxqKTM8g27+jB+CJoaT0I4BL6711lWLfAHMBA/35FrTlhjMEhCAKLlZuPelw1D+WfBLIZD65TKP4dBy87WoY8VwQA16NxB7NxT5Xu9RQXF/MptBcaBaBmMQgwwAmAUs6iB57nCQOk04GcRxnSl0hThnIgrQYyIXaSjjbJeZPT7CYJUJ/J1e73+07wO2XhPqCttX0u/l19Qy8dbkRAoQDs5HcezwUJY0llySrjB87PQ3yXMWI5yEifb4RQ7Yr+OZLDUdCGe5rjYMEBoYaZhOqq4QgxFKHif1ORRTCbJg86yCJHCWZHBbzLqFFdWKodwHF0FoM+S22Ndz6u5i9Y72szeIMAQEY+Wtv7aee89PCiXQiucE2+dnRCI3NUNdl6xfrClQ3tz5dYCmH2HKIyganceCUB1OTC5maWMj46BIOMJO8sVPIeDSdhizNA/cG8oKgPlA7GD0PXqcdkAovOgb2i1K9PiMUiJMajUQgDfGwU6tY5PYuCXzGTA4wu/iIyMNhIBt6TkFJHRRieNUd2Ja1mf14f2eweIOrBZFxPQyuaztdxjsRm9KMNQ9eWwuNXZc2femTCsoQJ9q/EoIqIaEAPLUIU0z6aWKmn+ZszIdEUMqBsbPIH5vAsVHT5fuaB+yzQMUkxGiDEQfTv0Wg5LsPqFD59Wfoedz2XojuZYcCURDjJMY6FdxX1ZHke5hUPuQeNjOx/BRkAtuAfDheDkewNWt6J3eE9ophbmCJRsJ7gYiroBffhGPNV7f4jqDdbSRdWsMMgLPWMOPT0IZrC0asXS8KP6X9PAMUQ2MNlLWLY2SuGdcTANFAAhAWCcwD5gKz4J2QeexmLodJ4pOcObAbUdpZQH0roipPY6vghqpn4uiYfVrzgnQsEAF+nmKsE4E0mJG8l2nkksYe7izfJWmTPUAGVJSLo12I4Y+alwDRQIQbWHS51mV8HDZF6VigwwuafN17lW+39ot4NXQbefFyjOJNXZjPQGMxVLTLUrIMo4Mb0zFNBeLCEUFfCsyHz8PH8QYr2EMaRxsSadvoL7JdABT1aJ+wBlvve6gZ8IHzuOtLoS9v0dgIfpGD3+NWhnvAMHvZelHOWCBOcnyzgWXA7DbmhO7mHjZzMzlMziuG14E86MiB/Q2G/TR7G5OAoHCMHFw0YpynwLlwbyq5gTIiqUHaXWoIogkfWvGkCW8u4kY7YrydtWC5m9ZG48EFfGiytpLpbTdBVHMDlfjntUnh2ynESzoFlMNnlUbguwljuZKApuBigbuARXAkJJbNrDBCjBtdxYgXAVWNiIKzr0JXBnzwYB9F0qvEYyHYYl2QsqqDyWMPM59M7uVvTK4shneBt4BCWZDmYyzP9MbHIGBSCBCJyPg0rAa7LtGdLwmhmiBrC1cTPtQyiiZ8uIAHrXjSzkgAq4y7cZGRtONDs7UtMpBqa7tkFCUEUsPo8mY4ihh1LWTPGaguh88wPPNOjPXCLF9wTUYWKSvhWGI0h0jmDVaw9/R82OcKbyOeeBXAcWSBWouRIhoq8q0M97XGQQIDjo55EpQ/4mUHAnHyxU4EFsK4uz8nmRzSyWBVzZuwH9gOZEBxjSiJGu0VPZDAejQQFIlR3BMLzILTIaMpI5LjxFLOGGoIpJQIagiiHj/ONwTQVu+jTYnCGPto3y6jT57ya8N3VD1+bvX4UU8EpYyilhuoJC7xOJGJZURQRnBugxjbQpi0HyiGikojOqCb3bPlEFEO0XXAKZg6vRC/pS8TRDU5Y0+wdc0yuv28xAvbbYGqBMTXMTPUPBNHpTejrXnZwZ5ajQaMWNbCsqCtzOQAi9jOuG1Vcn33QnGuXN0y5KrqrzIVCAtHPOlZyAIgGqqSfClhPOWEc5w4G8Ndjx/17X40nPeDendjKlpv8u2ONmGtA3e/Jkb51uJHPYFUE0kZgdQQHn6GhPB8wilnbOU5+V4WQlAR3HYQqkvFnpdgRMBqG2DSLojOkzsmpxczKaUYD/8LjBpbS87YZE67x2jpISAvTjswvdqkDtU2dvV0ucitL893BJTH3a+YQ+N6pjkCSJBe1VTgHhiR1sLSoG2s5hW+3fUxllc6YAO05kF2ixhs/Sus2+a4ECTknAgkwalZwRwnji+YwAFmUkqE9JoeGyPasAqtOAZj+plusM1GW5+FArazns1jUv0wJlcFA4ltBIdWEkkZ08glipPEcZzUhn24HkY8lAzoyYcjdXAIw2fWlXOCF3guB1ZC41xXXnF+iM2s4JOzM2GDu1Gl21yB4X2bfR2l3K4P9plmrVbDO0yM7EJgdRszQg+wgs081PUKlswO2AKtW6Q24wiyoNPN/iwgwR+cEoBFwBTomAZZvrM5ThwljOcQyZwhnKqzIZDnLvKtTzirxzS+lEtn7esybjbeugEfZfoZgch3BIyeLDMSojhJMjncyAniOM64/VUi33lABhyvEeks0t7KBYmGpXiBZxKwChofcuUj51vYwEO8eXYZZLnDG0gIvbkViTmUYVsnD44r4wPncdd82XePO/CGwe9xK8Pdb9iHxvVcdrTk+aYDq+DOCa9zK1ncyyZGr2uGbOjIgN0Nhneql61N8gXXdCRMOBs+Tx7HZySQzySySKWEKM59PkYUSRmixEowxjieR5sp3oPtMIhW7ZjN/dNgFBiZlbO2GPHjUgWnD4WJ6SF4fCmzOEAC+SSQz/z2TLz2d4uHtR0a86Cw3ViU6CH0adFAMvAQHJkTSxapvMoDHMucLoptB1DQgzHZpcLusziqcnM0zPLtgVx8bVJKvJMY7FSYPP8gD/AqqWQxdW8hrAdy4XCxmCd9ptgkINYNLInAYmA6tMwaQabbfE2CEtjPTKpORkKRkza9jEsXpPX68ekb4egy0dsMcX2F6mn6LJ5ylzvGGNVRWOtGiQCSYPTEM0RRQipZRpfH/tMi34flO/xZg0hoNUYEIc0XXBcBs+HcI968xv18xC28c2IlbJBzw24QH/6s9iEdPXSuDPe1xkECA46G/RjHIMRPDhIvewmQCgsnbOEhNnBr14dYXu6A18SgZWlFMC6Iqb/NDSwJiEG7H+qS3TlEMttZzHHipHd0d6hp+AOi0M5rN6sSM7dX2W9beDmFYN+HqzXY1PtDvQdUWKDA1ZiNngdEOFEVMY43U8exf+Ip4jhOidt4kuccYkrKUSwhHViyITkPPPKMGqAjwIVimHQGLO0wtbOQiHmlALwy35mCsJs078kJSqIxFLJentekHacjKjdHwj407o+ExqPFwC0AVkH8xE95gFdZzSv4Z7TBBmjcDp+1i1faiVEzOSkRWfSlQOP9rhx1nkION5PJfI4TR9Xn42ThVqbdijDm5Xead6vT67/Nhu5K5BtsGsnaPKDCX+QbV/lOjUIWqLlwLmoM52LGcCJtAgnO+cRxnMWztnPzrBz897fh6g/TciA6Hz5ol6MqA95vgNQtYCmG0Z3NrF77ChGU0TXBhR2rlsvrtwH7orXj0Y/fFaMcTsn35eh0dqLT2akPz+9BHJvBjfK4rzm9hQ4TIDhAisZWQeyKI8xlN2v5EzEbT0Mm1L4O73cZFdmxaEVc8cD9QAoUJ4exmRXkMo0ckql6b5zRx52LocioRopc7HcvMiuxy+XPzElA+8+l329nxG12JgsFPMVTiUdi+zHAAoieeIxJ5HM3W0ljD6P3N4sHtgc+Kxe9rBexxQK3R8rnZi28kzSPTObzWsv9NP9htBT17AY6j2MMttCVtqN6Jo6AeSGn92WHgku0GOzp4P2Dc6z2ekWqxXN3wYtANrxfakRYfJDAU1w40mGwBqpm+fIhqbzJMo4yhVOfT5QISwliqAvQ5FsfmWveoas3Yw19k29zN7gu4wFAkLGhSRLWPu7gO06RTA5JHGYFm4nOqYBs4DU4XmBUyetDXW53hoD7gXlQtHIsL/I99pBG4eap4n3nAVW12PaPOGJqaOA87vI6VyyWb264Gxt7CPfvGPQetzLc1xTzF11r8SIaklylYnwB3D15I4+wjttq9sF/Aa/B4RrJ+4J8oacCkVo4jaXwTvQ8DjCTj7mFTw7PkS90LmK89JwepRgdp7UY89HMIyrsv/D2ocOvojdF14uncokRDxBPJVG7xYP3snPM9DrANA7zAK8Sk3Na2oBeg8+KxAM/bTqD0xKBtcBi+HPgKv7I9yk4fJMotzeA8x2IcivGtqXGkZSbI2CWb73JbyoEa/K9BuInf8r3+SPfrdkohZUvwuE8sb1nsfrlTIpBFqRzJeXzN+7jMNP4qOEW2rb62y5I68GYPGa/nebXRY6+qYyb5dv8uV0wxrT6YLN3wGzEkCfCjGl7SSWLZHK4s3iXtHHug9J3RVL1ItObgWkhwErg3+GDwNms4xHePLYKdgJbgdwOjPK3sziefCvDfa1RofJrhv24kwggTn4sAFa1kRKaxf28xm15+0Sp/R2yaiSE1oEY7Kle4DkHeBRa5o5gu9siNnEfuUyjas84aSEp0m4VPYgKqEa+0Prcp8uNUjQrsav90usjL8yv5WL3e6N205VcHRAoWyHuDpIPWgDN50ezK/VOPpuWwAU8SE/O4Jb4fbi7wKTtEJEL72vhxXzANQ8mvS4f9f7HN1LtFYTftHr2Nd8mUYZcVyiLxRgDo3ve3+RzKnrHvmZDS/9EuEq9xjJImbyT+WRyf8tGiaTsgs/y5Bp2YEr7JAGLoeXxERxwm0kG6bzBCqoOa+HwnRiTTqwNhfqC1H6SnlnG7Y10X2TcLN/6++le+AXtWDyBJqjXhgbVO1lHnH5SP4fSuRHkk0BrtAeLH38Xr/huIoGAXZIuOIJ44E2VkPp3Oa23Ld5Ha7wn5yePIttvrrYvuCuUxWEsxs3zEJV8m+lydqarD6HyLuceHOGcKo/7mmAOjwciy+9kUWizwfXHjTwS8DKLeZfbtu+D56E2G/6uTWjyQYz27FlI2HA1bIy8m4+5he0soupv48TzOKjdaERcbbMHYj+4YSBbScwG3T6Urt/0btxQGOVp9b65ByYnH2QmB1jDeqZmF8Iu6HkZ3q0zhkMmA7PcwLIS+BXsDEnhRdayY89ywzMp02e3lWE7mX3wfxEHN+brGYSsRiMgIsgaSVo4dwtreZEFldnwH9D4OuxvhxyMgSkL/MHpUWAeHEmJZR2PcICZFOTcJJGTAiSadF4PhetG22ys7UPhMLAy7mL63Rx90CNMEYCnfPenA0kQdl8x6WRwCx+zqvRNa3poX45W16E9+z43sGipoZ2LU9jOYtbXrqHjWYtE1w6CnNEKjKSaI8j3wHncpxq88OmDx93U2MM435YrPtZnnnmGt956i6KiIjw8PJg5cybPPfccEyZMuOxzNmzYwEMPPWRzn5ubG21tbVd8nP1quD/66CN+85vfcPjwYb788ku2bdvGkiVLrvj5jmG4zWG0CCShGykFaKsh+M5T/Jjn+H7d/+C0BXgOPig1pi+loIXKlgP/DtkhN7OZFZLLzRotOb7daN5HLdoaHSOHrSsx3WjD9f8iXy4fbsFQcFGyG9R0pGBvOsTf8Skr2EwqHzJ71xF4GdgPb9aIGvdAFjjTFgGL4dSaYH7BT8ngDs49P0YeXwSSSdVbxhwtrDjYsI8kxQKTZNH1KIxee4Z03uNpfsbYdedgOxzOMAxSKHB3ICLoa2DfvKlkcSubWUHBezeJMcpCfna2YoSD9ejNleStBxrzQlUPn+szAgO0n7HgEiAqIQ1YCN6p57jf6zXu5W/MrjwiqbLXIadGWsP15ENqJPAkdNwDf/L9//gV/8G5d8ZIauhtkLRYEUbX+2CX74Ez3F80WPpsuG/0bbziY12wYAH33HMPN910E52dnfzkJz+hoKCA48eP4+Xl1etzNmzYwOOPP86JEyes9zk5OREUFHTFx9mvofKWlhYmT57Md77zHe66667+fKvrhL1SGwtEWgeqjL2ziHQyuJdNOL0CZMC+UlFLoBmhRMTLfgQ2htxNFqlsbV9G8/rRRh67rANZZV9u9OdgW3Xbh+ddMJrETXnJzkDYFyltPBVQwE203zGSMiJwm3eRmyiAMbB4g1TjViNh14gMCGiHcb5V3LN8M25c5JVVD9FRYpG3KojFqDRXYfNvTm+DVWJFvmeD6z2NLGMri9nO2C3n4O8SScrXnh0B3O6L5G/T4dN58WzgIT7iForfm2zrZVv3r9bD4vYFlTB4rp/9cejyrR+r9t3sHAslYdApQ46ay0azac29XHQbSVlIJKvWvglAcjZcyJMsdhmiI2b/HVzb4N7HN3GCCWTcmc7p8zHavt+RGDpAhc2vJzt37rT5e8OGDQQGBnL48GG+/e1vX/Z5Tk5OBAcHf+P37VfDffvtt3P77bdf8ePb29tpb2+3/t3Y2PgVj77e9Jbzi5MClTQIe7iYR1jHMrYy+mdSPZ1VKc6F3hyWmgj8K7QthT95/TMv8wjFhyfDRoxqWkq1X/R2LrOXDYP7y2o2mLpi05VNHdaQX14U5AVAGRQXTaY4dTKV00J4ZN460pN34eoGi9ZDdp14Jn/vgqm7ILkGFgRkEz6nHOeALl5a/YQUCrW5Qkkscn3MxUuD+VwNRsyepDaDIMZVerSXwJqA9XyfPxKz6zT8GvblidGuQ4aopPiD0xpo+ylkes1jHY/w/uG7jH78LJDIkd6Pby46g8G3IO0N+x7xCxitW9pnK4uCskg4CA0lwfxl1WN8NO0WaqMDeORX/4P7Nkj9HZAncaLdAHthdhGMrmvm+0//kRAqWffwI1SURcv8hH1xGIOPzedpsJ+v/qULZ7oY0YfndwOX2h43Nzfc3L4+6tvQ0ACAv7//Vz6uubmZsWPH0t3dzdSpU/n1r3/NxIkTr/g4ByzH7eTk9LWh8p///Oc8/fTTvfzPYAuVm412KNa9Kxc6wRoIu7OYZ3iKVUVvwmtQ8WvRUXWI0V4RAswBnoSN8XeTyXw2nl4NL7saG2x0lmLk+cweiCMY7K/CnB+0b5szzbW+RxY/qWTxff7ITa8XwLtQ+rooNn3q2op4YDm0/Ss84fU7trGEqhfHwW+Bsh6kXr8Q27Y4xddjboNKAKZClBP8AILXnmIpb/PfLf+K+38Bb8HmAmP6WRoQuQpYDJ8uj+ePfJ/dzKXqL+MML7uqEWPSt7nNydEXWeY0kX4OTWOOXSKtqSHWdLBq7Abmk8mqgjfh18Ae2Fwj5zIIWQCF/QS4HzbG3M1TPEPFm9ESNt+hb1JSiFFtPhgXOwMXKi9oGIWP5Zsb7qbGbuJ9z19y/89+9jN+/vOff+Vzu7u7Wbx4MfX19ezbt++yj/vkk08oLi5m0qRJNDQ08Nvf/paPPvqIzz//nLCwsCs6zkFVVf7UU0/xxBNPWP9ubGwkPDz8Oh7R5TCHD8OAWFFqC8RoL2EbKxrelM1Btks5iW5obndD8tmLYWd8Cpu4l921abKpxk4kddVZgTH5WC8+G4wh8W+C+fjN4qcp7KpYqLeAO1R4R7N1QQB+vv8gYOXvGRdURWQtJO8SVVWN9MfGuYN7ACxbu5UunFm/bA3duV6Q5aRVm9eZ3mconMP+xtzaFwREQ4QTzJZ540t5mxVsxn0DsF2ugW5oYoHIecBDcGpOMK9yP1sb7qZth7+xqUabvmmMbmyG0qYx5uM3L7S1EHqnK+wLkxY3d1e2PnY3tb4BjIo/z4I12eAPt6+H7e1yVnKAsO2AC6x44k0O+M5k291LqKoaBwW6fDdpN/09Hf0cXn/Ky8ttFhlX4m2vXbuWgoKCrzTaADNmzGDGjBnWv2fOnElsbCzr1q3jl7/85RUd36Ay3Fcajri+6CNATTm/KCdIBe/V57iXTdzL33D9L2A9fFAj4cNYJKdtWQn8K+wMT+E3/Ii9exaKC7kVKNG3sSzBtpp2KCg0e8whRj0ProXS20JhRxw0Q1uBPy88+n0IhcVz3uW2tn1MqgOfXGmN3Q3U5cLsZpgT/wk+KU20Bnmycdl35W3etkB9qOk9Hd2j62/sK8hDwc8ibvQSuDdoEw/xCjdlF8ALkFVkDFW5GYhMBh6HD+bMZjuLeOHs9+EFd6MIDX1gjh5JMtc9DCXM8q3LnbZAaWuE3Aio96St2Z/3F9xFe8pInOd0cVv0PiwtkLxBCvzyAUsB3FYnV2bN0+vxpJV1qx+hOW807LZfnHYyNPXFldH3ULkUtlkslquKDjz22GPs2LGDjz766Iq9Zh1XV1emTJlCSUnJFT9nUBnuwY/uiegTo6Ig3gL3AKs6+D9ev+CHDS/gug6qtfD4WcRgL44H0qHqOV9+y4/IIJ3CdVMln50HNOu5bEeekPRNsC9k08dW1kHWVMjzhBJ3Xnjs38madSvfS3+Rfw75K5Gvw5rnYbPWD3u2CFY8CTfdX8Cza39M7R0BvB91l+S8X5gEnf5272H/3grbDokwIAFcwmA18FgPC8dv5Vl+TOjzdbARNhcZ4fEVbmB5HFgJLyU+yP/j+xTunwovIPns5la0K8XQ2TzjSjAb8Aumn2ehJApekNz33nsW8uUjISwKf5cfvvJ7ogMbiN4O24u0uoFKSP0FTLUUEvfo/yHQq5on//O/pY/+DQsUJGC7s5j+3sOLa2W4r5Senh7+5V/+hW3btpGVlUVkZOTVv2dXF/n5+aSnp1/xc775Jxx22HsiY4EwKUZbAvPGZrCMrbi+AWyXiGAj0tW9yB8Jj6+BTdzLVpZRmDlVFNpBoLkWo2J8OBltHV256cNj6hAFXwj1tbICehsK9tzEZu5hb+IMeAgsyyUHGIScudIcYDuEbqtjKdtImbBTht8kgrHJiw9Gfl1hiy7fejFamEwCWwgp4zNZyjZCt9XBdijNlXMeilwDiybfexNnsJl7KNwzVULjWWjyrYfG9QJL3cseTjKuV5zXIWfvtJybg8AOKNwzla0sYxP3whpgpeiOQIywOdvA/XVYytvMGZsphYKzQeR7LPJtMLeoKfqTtWvXsnHjRjZt2oSPjw9VVVVUVVVx4YJRS/PAAw/w1FNPWf/+xS9+wa5duzh16hRHjhxh1apVnD59mjVr1lzx+/ar9mpubrZx/0tLS8nLy8Pf358xY8b051v3A+Zik0DMbV+zJ37AMrYybkuVjO3cL6nqsYi37XQX8ChsCVzIetZw+q8xks/eCXTqTSC6JzJUQ+NXgrkyVv+9SfLeW4OgCrJdFrA+pZL6GD/uWvM+cVo7URkSNk/bBZEucG/6Jtrd3KicfwPFuyfLxg0FUch5Nns/w/E894aeAvJAepGjpEgwFaLnHmMZW7m35XVYD8V7xR5fQNtiNglYA29F385WlpGdvUCKp/YBVdUYFQnDfSiO/pn12epa/rstFHZKtfipiomsf3ANEdFl3PXo+ziVw6T1ko7IByL2y05q0b4V3LN8Mxcnu7Fv4W1i/PMiMRYF+kJ4eJ3nLpzpHECP+6WXXgIgNTXV5v5XXnmF1atXA3DmzBlGjDCO6R//+Aff/e53qaqq4lvf+hbTpk3jwIEDxMXFcaX0a1V5VlYWt9566yX3P/jgg2zYsOFrnz94BrDoLTF6dWiqdZeveY+/ww/5PQtys+FeyCqWL5kFWB0ILIa6P7vzHD9mK8s49auJRmUthzFmg5m9EIVxzvUIx1QgTHKtP4LY+Uf4F/7IP2f/FTZC6XrJeWujL5i9Fngc/hr9T3y39s90rLfIec+rwPD+qhm+RsSMHk3SctrEQmIYrALX1Y38OeC7PFj0d/gD7FsnZ+8CslV25BpgFbyQ8jB/5F8ozpwsFf27QVoZ8zEMtl5kqbCdAaGn3qaJM3APRD95jKW8zZM8i/9322A7bKgRkz8VmB0DvA47Eufwe37I3ucXGhEOsjC2Ax0M53zgqsoPNkTi3Yeq8ubGbqb7lg76WeX9GipPTU2lp6fnktuVGO3BgzlEHgCEys4XqcCSDhbxrox53AafFcvXxRUZFMViYBVs4j62sYRTmRNFoRWAKLXeQocKA704rw5rr68prLiZeziWEg0rIXKONC25IoaFXcAWWNq1jfkB9iHFCERZqpDipfMIIrCmgBZCesB7LO3aBm8BWjW/K1r1+BxglYwv3coyivdMNtI/lCLpH3Mro8JA94h1+T4LlEq9y04ozpzMNpawiftAa61LQc59GbIZD1tgYc1eFvMuLOyRaxYF1s19hqF8dzFCy3N/05tjZI8d4yivK7rgm0Z1JgFpkDJ2D0vZJm1fW2Q4SBNaIH0WsFKU2ibupfgdbVJUFkhlrV45rox275gLevRhLYXQXCEphjcg+/ACNnEfx+ZEwz9BspuYnhpgXzGwDSyvdbCY7dw8MVsWW1Fga7iHj1K7PHZFl9rC9OYJ2SzmXSyvdcA2mehVg9Zf7AX8ExxLiWYT95J9eIHI907kGlmHquiGW0U2LqUDo5WrGjlnxaIj3oDi9yazmRUcSYmVxeks0S1NiK7hLeB1WMZWZo/fLfUcSSAXMBDRWUq+hyKqQucr0fN+PoiynyShrEfh9llv8QjrCP11HbwM28tFRaUBydHAr+D1lDvZxH188tc5Rs7PJjyut8MohdY75orcGqweSokrVAVBPfzXb3/CybHj+dEjv2V65TEWvw4XirVtUnNh9nPw3ekb8Yi5wP+7Gw7lpcDbrlAwFdv+bv39hhPmcK2Wjoh3hSVw893Z/IDfs7LoHZmKpp3TKOD2aGAlHHxkMs/yJO+cXgbPIt52WzVSPa4WpVeG/cQzbbLgG9OgAvadv42fPfg0D8x5leXOO7j7u5BTLIG77UWw+HkIbanjRz/5LZ6zWtnVeScUOUHeNIxiOPv3GrronvM3f75joDzur8QuhBgGTIdxKZ8zn0zSG3ZBBhwvl0BXFJAcCSwVT+RdFpNRnS7fslygsxrb8Lgy2leGueq8DigzqnHfduW9hnS2skxmYi+GNGe5ameB40XAW5DOe8wjU1ZWSYCfJ2KsLBhtNMMR08heP23TlzSYRybzyYS34HixLDU9kHOrp4C2sozMhvmyEDoItNViLEqHW9V4X9AXp6aOirZa0Rm7IaM6nW0slbTQYtExepnl8VIgA9IbdjGfTMalfC7XMAwuTQkNfTpx7vPNEVCG+7KYvZEAIEiqbGfDrXzIfDJx3QKl+8W/aERyrKQAd4lSe7dlEd1bvUwtMcXYFowopXbl6GFzfUvTEqjogJ3QttWf7SwiO+ZmWAQBs0Vd1aF53hngv62NO8ggLKVYFFsMSOpjuOa67TcQCZVzMh3CUoq5gwz8t0lR1CFEYv2BgBRgKWRH38x2FtG21V/C4xUdSKi3DNvuCMWVoesD3XgbrZDdW73IaNcWp0uBFNE1jUjpX8V+cN0G88nkVj6UXHc8GAtTH4zooWIooAx3r+hKTZ+OFiVfhntg3H2f8z3+RMzG0/C86KwmpEUjbjnwU3g9+U7+0PJDmn87WvberdDDh2WoYp1virnP+yyyCNovF2A9FL84md/yI95JmQc/hRWBhleybz/wAkzffow1rGf0I2dkH2n3MORRw814288kiJJzsQyCHz7FI6xj+rZj8LzsGa1Hk1YEAv8Bb826ned4kuIXJ4t87wTJuhajQuR9wVysVgYcEd2xHhqeDeYPLT9ky6yF8BPRNfq8tHcBnoeJG0/xPf7EuPs+F/meDvKoIMR4D3357saFrj7cuh0kMqEM92Ux74oUpoUQ20hjN1PzCiETSgtk1RsBpHgBy2Fv5AzeZTHNb4+WnHYe2LZ8KWXWd/SwYi1QIec4CzJr5/MuiyieEwbpUkAViPiBrTnAu5BOBmnslpB5IkAkco2HW6GaHlEyzSRIg1vJkhB5BrTmyrkLBFJ9gXQomjOW7Swis3q+RJLyQCIg+v7wysvuO2bPu0y6UPZB89uj2c5isqNvhuWQ5iW65wJQmgdkwtSCQpHvBW2a4Q5DDLc/w0G++1ZR3rf8+ECiDPcl9LIHcRiQBDeH5nALH0urkRYid0W8Ec9kaFk8gt2ksZs0I69NNaq69lpi30ZTJvnAg9Cxw8Ju0sggHeaBZ5IotmrgSAuQDTeVFjCTA0RPPibhxFFghBRdGB65QDv5HgXEQ/TkY9zCR9xUWgDZcs6qkXPoOg2YB5nMJ4tb6d7pZcpr66N69eui5Pub00s3RWe1Nd+9m7lkMp+WxSPwTNKaJBBdRA6QAbfwMVNDc8VwB4MsTPVajqHvdQ8HlOG+BPPYxwjwC4BUGLuiiHvZxKryN2Vv7VJRV1OB6HnAY/BHt++zrusRzj0/RoYh1Fcg41hqMPJ+Sqn1HXPYvAzIh4pa2ACn/xLDi3yPYyuj4RG4LUZUViHwQTHwIjzU/gr3sUnCidbebt14D/VcoLlTIkhmkacCy+A+NvFA+2vwopyrQuSM3BYDPArHVkbzIt/j9F9ipEuiohYty4oKj19LzJuS1ACfiS55G6peHMd61vBHt+/D4xCtzS8oQWuBXA+ryt/kPjYRtqJYIkveAcjya+iP+1Ue97DFvKVhlLVg5xY+lhBUBhQXG5srpPgD6XBuqTcZpFO3M1RC5PWtGBXkytO+9piNt1bNnAfsg+KcyWRwBy13jYA7jMEsZQB7wCujm7nsZvT8M+KVxIMEhPVc91BHl+9Aq3yPnn+G+WTildENe+RcuaIVXN4BjXe58i6LKd4/2RQiL0PltPsLe8/7LNR3QBace28Mmczn3FJvSIc0f6OLorgYyIC57CaVLJN8R2F43UN3YaoGsAxL7KZIeTuJYkuCZHKYWHoKssWHbpRH4JQEpEAWqRyonmmX167GmEus6B90xVYjii0XyIKPuYWP3W6Bb8MkN/E16oDqPGA/zKo7whSOSm43Cmxbw4ZqOLGXNFAUkAhTOEpy3THYL+eoDpHvSW7AHPjI+RY+5hZDvus7sI0kKfqHDuQcVwPF1sXpgdqZcj1SRAf5a4/6DPn/yeXFJJMjrY9RiC4bdkWYQxdluK3YjzaNEKFfAFOT93Evf4PXoHW7hKUsSISRNfBB4mxe5QG6N3jJEIoSvTVG90aUt90/mL1uLS1RALwN739+F6/yAMcWR2NZLBFxD+ADgO3g9IpMnBo3/3NTONHcHjYUMc8lGCufeYGxiYjTeuAtOUceQDJguQuOpUfzGg+w69idsm98QQ9iIlSIvH8x93drk9VKOmAHdKy38AoPsTdpBqwRXWRBK8TcBrwGK9jM1OR9polqEdiOQh16qD7uYYk+2jQQCBNvbHYb3+Zj/He1wX441GLMag5LlhDibtLIakkVb6QApC3GnNNWSq1/0Q14DVAq12A3fEgqmcyHdAhKgmj9EcXAXkgli5kcEK0XA8bACn0RN5S8ElfTT22znBhgNszkgIRVs6FUG2saDQQlA+lSkPYht5rm7JdhTLJTst2/mIcPNQLFsvXgQchqSWU3abQsHkFYsugkV0RHsR9G72rm23wMqW2mrW3No1CHknwLfWkF02+OgDLcl6CHyYF4iA09TiJ5UkFbaEyQivUFkiDHOZlcptG8b7R8oawFJbonotpj+hfdK+lEct010Cwh86qccRwiWYbiJErEsAPZ+oJ8iC6uIIHPCJtYLDbbRTdqQzUPaJpJ7uIqwwAnFjOJfKKLpa2uBDlHUSDKfhYcIplzOWMkTNumh8hrMc67Mt79i36em4Aa6GyEAmjeN5ocbuaA20xIgigvubplIDWDByGRPKJDT8gizRuGdkQJuvtYmNatPG5Hwn4gRYQUdCxoYy67WcR2eBcOa6NNEwDXbwMrZULa3hPalnolPRhDKFRB2sDRS8g8C3gbttcuZmdkCiyH6CRDse0rB7bAHWQwl90SS7d63UOx+tauW0KbAjifTNLJgC2wr1Lk24KcK+6CnZEpbK9dbNoyUoXIBx5zC6SW6y7pgR2w9+Qd1nG/nlqF+VlEV/EuLGK79OUv6NCK1CIQHady3Y6MMtxWdKUWCH5OkAhTQ3OZyQH897ZRe9Twtmf5A3Ph9KzRtgU71hCiKki7PujGu05sSx507LbwIbdSN88d5kg4ETSvZD9MLD7FLA4YYyJdPDHygEMlnKh/Dq1+w93TJkweU3Qa9ou3DZq3PQfOzfNmN2l07LZI0V8F2EaTFAOLXqhWA5RphZhOfMwtnJ41GlJEN+kV5rVHwX9vG8kcYurYHJFvPyckXK4vTocWqh1sWKGvPF2BABlaEAET+II4jkMulHSJuvIAnGKBRMhjCoWnEyTvVwK2VbbK2x5Y7DciqZVrUgB5JJKv7ewWgVztOpBG5TxIIB/f+Cr5z2AY8h53MBAFvvFVIt/5QKFIrgdyGkiEfBLIR5PvMpDwuKrduD6Y28M0410GFEDh2TjymAJTwClarmEdorM4CnEcZwJfyIosGGRhquu7oSTj0MmIPhanOYZJdIyj7HfM+xFbbDYTmVxUDHskQGjN/c2F0ymjZULXTm1npPMdGO1fKoR4fTArtjJtKgV8WHurTJu6awTR8caYyM9KgT0wvfwYyW45pp7XobhrmKkFTOvdnul2gOnlx0S+S2VhGgpEx0PLXSPIZD67q9MkolSC9o/aQOT6YS5Sq4aqDtE9O9zJZD5n5/jDfKOWoxBgF0wtLuQWPjKlgywM7VqOoY8y3Pa92xFAPPhPP8vN5MgXI8/YHWmqMzAHDjCTHJIlXFUEEkdUSu36Yva6a4BqKIKOLAs53Cx93dMh1tmYpqb3xd5MDiS1DcFdw+zkm1CIhxFJLUwjF7KBPDkX1r7tWfCx2y3kkEz3Pi9NvqtR23UOBux2ySsBckUfHWAmzBEdpe+ORx6QA8kcwn/6WVmYRsDQkW9bVFX5sMI0LU0Lk0c5lxDVfhIKobRG1FQAEDAOehLgOHGcaLhRvjj1YDshTXH90CtwG4FaqAKK4AsmcJw4iIeAMcZAFsrl/6M4ydjQMi2W7oTIw1DxSExb1Lo4QRhEBJVJ+LQQKJVz4QNYQoBYTb65UYx2FRhhcv38Kq4fpolq54EyONFwI8eJoydB5DsA0VmlNUAhTGg/QYRzqSkdNDSnqKkc97Dg8pOkEsnDK7sb8iQFqG8mQhJ85H8zh0imLcvf5I2Y+1qVN3J9MRfx1EIuVOREi0eitYZFI8aquBI4KJPxEsiXFqgwkHC5J46/8Yh+/FrRnbZhTgKfkUQuHITjNXIuokE+f4p4cFX7x2kb5WhtdqrochDQS1SpANqy/MkhmY/8b4bpMBbRWfkAueCV3U0Sh79iUqDCkRjmhltHryiX/PboyWdI5KgorUKp0AwEwiKBZMjhZo4yRcJQVWDktpU3cv2x7+s+aw0n5pLE6cTRYri85NFlAAUQU3qaBPLxTjqnhRL12eXmwSWOhv3QlSCIAO/EcySQT0zpaSgS+QbtnCTB6cTR5JIk8l0EWo0yqm97sGCOKlWLDsqDoySSw82QDJGRIsFnQaIquZDIUUZPO2PKc5sryx1Rvi9FedzDBt3rtsiAgmAI5wyRlEEpNNbI2jYAYAwQDSeJ4tzJcE3rt6IK0gYjpkKeKqAMyqvDOUkURIJniKisRqC2GiiFSEq5watSCyXq4XJHzwGao0qIfHuVi3wXQ3WlUU3uGY5VvsurNfk+D0q+ByPmQrVWKIOqk5GUESmhkxDRWRcQHSbyXUYIlRJ18QZjK1tHlm9buvo47lQZbodADyNqVZbBQLy0gSWQD/lQ3C7CPxYgBnqmS5sMeU4mb0TtADa4MA+saBLjUwLduV7kkShzm+PF32gCCruAXIi9pG3GXMDjqJgK07Q2sBs5IW1geTIuqAk5F8SCONqJdOdqRWnnQe21PdjoZeewEiDPiTwS6ZkOxIrOugCUtQOF0vY4AW2KmjXPPZz2oR86DGPDbQ4jaoY7THpbJ3CC0OI6eooli+QCxAUCCXDUP5bj7XGm3lZzpa1icGEqUtN6uo8yhdPRoyFBS2WjhRPzpd81juO9GG5H7XfVvSnNcIcBURBHITdyAvKNMHkYQCKcigyWNJBN77YquhycmOYWlAEFcLw9jqP+sZCo6Sy0a1wMocV13MgJvOPPaRc8ENsCNcf3vFVV+bBAV8gugBOMgkC3agknlUNNnQTCXUFkPBLKCaehLFjCr/VgeCLK2x5c6NdDCyeeB6qgkhv4khCIFLOM9ggqwb+yTa59MOAHUtDl+MpMPoOnfKZgCKIa//I20MLkIOLNGKgkhEpukO7GS8LkyngPHsxe9wWrfDeUBVNOOIQDgWKWW4HqGqAcQqgk0KsGRsHQSQcZqP24hw2ax+2Hlt8uJ4Iy64Yi1jBiJBCN0SJTBrSBUWmrjPbgQzfeRtvMSaI4wQSIlRo0Pc9NKVCMXPsIxHi7gGMrNlN+2x0tVN7DeEokRl4qat8DzQGLlba5k0SJ4a4CiSgpoz040fVOo+iiCqAITjIebgQi5drqE/wpljx3OOUiC9Y8tyPKdu+o4rRhgSn/NwqIEMHWFVu19ih/gFioivblCyZI2LUCjDCimts8+DC3zTRBZw+UwenT4ylhPG3xEBQuaqsTqD0DFEMUJYyecEYs2SiwnaDmSApOP1at1XEUEAajx5cTxUkols98Aa0RMhLa4qGEKE6fHq+FyTuw3UxELU4HH7r+qRWdVAInmMC5GG+4UYukYFSXj+ckUZTI4tQq3yrH7WgMY8NtFlQPWX2OggBqGdVVCzVGGNECEAjVBHKeAPHemsG2r1V5JIMXzXg3A1Wu1BBEtddoCJJoSgdQ1wXUQCA1+PEPicB4g+FtO6JiMx27N+AHozhPALVQrX1mtIhSAFR7jaaGQKhytUsDKQYnus7RvO564LzoqRoC4QZNd6FdxRoI0K+/H5p8+2As8hxRxm1RHvewQC/c0fJ/oyQHZKnsgEpDZQUBjIEvCZH8URVa/s+c31YMPvR+V61l7zxQIXncLwmBQCNQWA1QCaNrmgmixpTnduSqclOo3A+p4aCG0ZXNUCmfWe/w5gap36gkRDy3erC2Gqn5BIMYU567HqgSPVVJCIwx6jgaAaqljiOIajv5HjoT1FQ72LDAlLvUQokhVMIZoNrI/wWBtTCtkhAx3M0gYURVlDa40fOzmkdSIdexlAgIl2tr3S2sEijFKFCzhhIdeXtP2xoOvfCSSvnMLhgzCsoJl4WpjeFW8j240eW7yWq4z+jXMVIyPh4YBZiUSx2PkQpywnEjSsOXYXy1TOEhd7RQYgd+1FvHMnfK/+LvCwTAP/CjvsFPM9pgq9CUchu86LluoB6a8KEePwgAHy9wbdH+t0FuftSLPHiDY29/aNquVguV+9Ak8q19ZlfkHOAL9fjRhI9mtEG1OQ52OjDkUrtOzVDf4Ee9rx8EiO5yadDiJVpnpA9N4NcB3q6i+9r013DF0VMjfW3p6qL7Gh5N/zHMPW5NqWmG292vSZR2HbQ2yFfBE3C1QFsg1DKKtvPf0hRbK0qxOQqmUZ31UNseQC2jwB88vUweiabY/Kg35QDNoXJHMt7mY/awGm5dvmk0IkqevoAm3/Xtfpp8m0fHKgY3+sJU5Lvt/Lc4zyg6/EV3eWqPam0A6qSOx92vSWTCHRw7omSLynEPaczFGB5W78rPt54AzkMt1LXIIzwAAqDWy59aAuC8k+Zx67ltpdwGL7rxse3nbjjvJ9cyCPA1Ge4GrAU8jGoz5QAdVbHpxy057hGjWqzyTYNhuLGgGe4AGqoCLtO/rRaogxstHdQMnHeilgBqfP2t8t2BptNqRb79fOsvszh1RDkffjiSC3GNcbH91R08uYAnF6DdCBh5ALhJeLUVT/litIFSZo6GZoDagGZ3uZYWwE0ufwfI/7WIHLi6X6TD3R3HbJUxK1/t+N1hpHu7yHcL0GYKtLoDXiLjtLkq+XYozBu/6PINrXiKjHvVWaX3AkA7uHFR5EAXbyuOJueXog9g6cvzHQHHOMp+RctxuyOi3tVqzf9p/wte+hfBw2S4VV+r42Bqm2kD2uR64g14SSixE6Bdbp604undqoURnbTnOqJHoh+zk8i39wU8EfmmXT6zJ4Ab4I3dwlSFyh0LTR9phvsCHqKv3I24ywWAFvCgFTfaTYbb8Q22Tl8qyvXb1fDMM89w00034ePjQ2BgIEuWLOHEiRNf+7wtW7YQExODu7s7CQkJZGRkXNX7DojhfvHFF4mIiMDd3Z3k5GQOHTo0EG97BWgirXncI2nHo7nD6nFbA6Tu0IoHF/CUL0YnKKPtaGheiUmx4QW4Gx53RztWxTbS7aJmuMGxjLU92rG7w0jndjw0w93RbvK4vdAWp/YLU4Vj0SFiri1Mm/ABL2N8UAdIRKmlTeRAc1gcNxV0/cnOzmbt2rUcPHiQDz74gI6ODubNm0dLS8tln3PgwAFWrlzJww8/zNGjR1myZAlLliyhoKDgit+33w335s2beeKJJ/jZz37GkSNHmDx5MvPnz6empqa/3/rK0aKJLnTh0oWNk+EC4CzVip04m5wQ5Y04JNpla8cNnAFnO5XVKXLgPNSurS7fdEEndGgfz1X7P13GbeVbGW+HQ7t+UmjlgtmB1C+rsybjwFBytoGB32Rk586drF69mokTJzJ58mQ2bNjAmTNnOHz48GWf8/zzz7NgwQL+7d/+jdjYWH75y18ydepUXnjhhSt+33433P/93//Nd7/7XR566CHi4uJ4+eWX8fT05H//938veWx7ezuNjY02twHDBZzpwkkT/A67/7N+EYaYPh8+mOZta4rNPn3doV17Z93ADQmlZnwIvW72cg9zlIpaRW+YHIlOjGEiLpc0jOHSJbIwNOTblu4+VpR3a98BezvU3t5+Re/f0NAAgL+//2Uf88knn5CWlmZz3/z58/nkk0+u+HP2q+G+ePEihw8ftjnIESNGkJaW1utBPvPMM/j6+lpv4eHh/Xl4CoVCoRhCXKt2sPDwcBtb9Mwzz3zte3d3d/ODH/yAWbNmER8ff9nHVVVVERQUZHNfUFAQVVVVV/w5+3XNdf78ebq6uno9yKKiokse/9RTT/HEE09Y/25sbBw44615YT0u4ORyafjUWQ+fDsFV6vDANERFi67YZztcNQ9cH5s4NKIrxof4yj5VTcYVjoopfOSip3u6NO9b0HVap7MWXRkS8t0/lJeXY7FYrH+7ubl97XPWrl1LQUEB+/bt689DAwaZGXJzc7uiE3TN0RR4J850OmsK3PRfdIEznUb41FqJOahOn+JK0C6bG+3QBXRdmhbp1NMiQwldvrXwqS7jHdr/6TJuK9+qYMnh0K6f1dHosv0vXKBLk3FgyBnva9UOZrFYbAz31/HYY4+xY8cOPvroI8LCwr7yscHBwVRXV9vcV11dTXBw8BW/X7+GykeNGoWzs3OfD7L/0FootErMi7hxwdsV3IyhBXp/r6fWYGG0UCil5lhohkibkudh6mfuRKurdQO84AKeXGwfqVVXg2MXaWnH3gYXu9ykM8JLPqsrmt5uwdq/bjtNS+FYGB0ynrTKaFNTa6srSPeAl7vRITPEWlsHuh2sp6eHxx57jG3btrF3714iIyO/9jkzZsxgz549Nvd98MEHzJgx44rft18N98iRI5k2bZrNQXZ3d7Nnz56rOsj+pdOmt7fV2dOmhUJXbDLOwF6xKeXmGJh6sE09+zQD7TK81gWkn9lNk4NmTbHRoz3XvIWio6Afc4/Id7OHNpQD6+CZVpD+9WbtnNjIt4oqOQ6245s99GFSbYZZ1odJXcRNuiqsra1DzO0eQNauXcvGjRvZtGkTPj4+VFVVUVVVxYULxsz3Bx54gKeeesr69+OPP87OnTv53e9+R1FRET//+c/Jzc3lscceu+L37fdv5RNPPMGDDz5IUlISN998M3/4wx9oaWnhoYce6u+3/ho6bX9tkz7WVjzArcFquPVpQz402Sk2FUp0LDRD5A54t8m1bARaDI9bnyDWigcdbSNNE8QcTbGZN5/Qjr/NlYttbrT6Gv3rVo9bmxgnEaUOcNeNtpLvwY++uDLLt+5otFrlGzTD7WXSc1bDreNocn4pfd9k5Oqe+9JLLwGQmppqc/8rr7zC6tWrAThz5gwjRhg+8syZM9m0aRP/+Z//yU9+8hOio6N5++23v7KgzZ5+N9wrVqzg3Llz/PSnP6WqqorExER27tx5ScHawKKvPzuBC+J5abvq1PqOYlxAFf5eGGGmWghoqSPAqxZG9YC3E8Z8X/3mSJ7YcMFsgDwAC4wC31H1BFArG1KbZ3abNtvgvLu22YY+r9sRr69+3Beg3pXu817UBo2SfTx97TZXqYEgavANrqXBLxiZB6vPabdvKFIMPlwAizgWo3oIoJbAhjqrfLuC6LQAbTOZBj+Rb5t9F8DRr3H3VxVgXuHzr4aenp6vfUxWVtYl9y1fvpzly5df1XuZGZDJaY899hinT5+mvb2dnJwckpOTB+JtrwDbMYFt9dp2j/6yY5IrEkrsaAR3bfMJ91H/0Daf8ESFyx0Fk1fiBwFutbLZRh20tthtthEg21v2rtQcySMxH7O2OK3HKt9YDMNt7Bp1Hj+3em2fZhUqdxz0hanIt/uofzCK87jWie5q1R7l6Qv4iwy01fuo8c0OzDCeVa4LqjGYn3pX6z7NeInK6gTqGoBa+Bb1squOt/4aHqbXUwZ88KIrNqx7UvtRDw3Q1GLK//li3Zdaj8IYSs2RjLaOPv2sw/p5mvCxyrdegNmk7RrlR70UNNnIt5LrwYvrpb9ruxz6US+7HGp7cbuALEx1+a53tdswCYaC8Vbbeg4LTGMdzwMVUEkIjAFCDI+kGqAUwiknhEoIRlNuPqhc4GBH9xwtEikJk+sYSRmUyrXtRJxQQoBITQaqMG1v6cgeSQfQKBEEXb7DgRD5zJ3ILp+ckfMSTjlEoEWVLCj5Huzo8u0j1ywYQqiU61gKFZgiSpp8lxMu/3EepPjSURemlzLQVeXXi2FuuHWF3CqK7TxUE0RjiKvVcINmuM/ADVQSwpdiuP1AHmHey1YxuNBDvZ6YDXcIldxAJdQYZjkIIATOBXrLXt1V9BIqdzR0hXzBKt81BHIuxBtC5DN3AHUAX5oWpmGYDLcnKmQ+mHHBqof8gGDTdTyjXVvkShIEdSHuVBNkJ996HYfCURjGhruXHKCm2M47B0CgJuyIcteLd4KolhygH8gjdG9EKbbBiweGR9JBALUEtZyDamhCK9xxBgK0688oMXT1YLPXscNhOnYtx32eUbIwCdI+M0YBZlDLOQKpgeAOu4WpYnBianPUF6ajYBS1ch2/1HQX2lXUCi9rpZDDrvgSHFPGbdH3lPjmN+VxOwCa0aZOwkZlUEoEJ4mCaM0LQ1u1FkJwcQM3cgKiEK+EAJRyG6zohYOa0XZxgggYO/YkEziBewFUl4ticwECxgAxUEIU506MMYUSGzFGWDiSV6If6wWg0ZoKOncynBLGQ7R8Zg9EvqtLwb0Aoihh7NiTmny7IukgPdetQuaDD13/BMg1i4I4jjO6qBm+AH0PxlCAWDjJeEqJgDI0+a7DMVsee0fluIcNersMUCX5nzIiIFpSfT6IV0YpUAwT+AJikP90B8PrVkpt8KHnZ/0lShIGEZQxnhIoFN11AS2yEgmMQ659GaLUOsEIlTuS0dYxhcrbkPBoiRNlREI0EGnUcVQAFMKNnCCCMpHvYJBMuLklTDF40PWORXRRGBAD4zkJXwClcm19tP8iWhyTMiJNoXI9WTQ0UIZ7WGBSbPRIqLw9SAp4IiHQXzJ8HSBL13LJH3mHnbtMnlsZ78HDpf3bemFaOOU2+T+9cKcu3N2uMK2VoaHUTHUcVVKgptdx6OmgGoAzpsKmMLS2ML2fG5TxHkzoiynb/LZvRJVcv3KgRjSbJxAUCITLta9pCTQVpjnywnT4MowNd4fpZyNQBxXQUBDMCSZwNtofp2gIRMT6eA1wFKbUFZLglW943fij2mYGK1o1OQGS3oiHKRxlbPE5yNO8TLQwYgIcJ47jxEEJYrypw8gBOmIoUVfIWjqoAiiB48Ry3DkOErTPjnYu8mBcaRVTOArxaPKt0kGDF31h6m+V7zi340ypK4Q8TWehXeNoOBvtzxdMoLlgtHbBa7DNcTu+8b5W+3EPdoax4QYjt6MZ7iqgCE5wI/kkQCxEOMtX4zTyf065kEA+JCLGmyAM46287sGBrtC0/PYoIApGJLWQSB7kAgWSAvFBosYkQiFxnODGXgy3IxptHVMdRxVQAl8wQRYoifLZremgQsAq320i335guzhV8n39MXvb/kCoGO7EHhLIx+kgUCg6ywOIcANiIZ8ETjABitDku1G7DZ0ct2oHGzbo3lSj5Hy0XtdywiESArS2ML3XlUIYTwmjJ5zREkcWbMdDKgYHdmHyCAgPKpf8dim0Vhr57aAQIBrOEM6XLVqofMiEEc3pIOA8lLeES4FStHx2i/a/reVAqcj32NAyke9gMORbed2DB5N84wkRMHq8Jt/FQKXoLA/AEghESn67khDxtq35bUeX7+GJMtyAqK0moBEKoOrYOHJJgulArISaaoCKUiAHkjkk4cQkNMUWhDGsQuUBry/mUZ0BQKh4jkmQRC5j885BLuS3yKMjAOKhKHIseUyhOXe0FKdRg3jcjhxGNB97HVANJdCcN5p8EiiKHAsxRrg8vwU4COPyqkgiV+Q7BuQRAdhuaKG4fujXwQIEiQ5KFPlO5hDkQGmpSLBeTU4S5DGFc4fHiMdNI6LzHLFj4vKodrBhgdkbaURXbORBHom0zQISIUF7ZAlALsxsOMTN5OCeWtdLuFyFE68/WqUtgUAAJEFYcjEzOQDZQJ44Jf5AdAgwHXJIlvRIHlr+rxopTnP0MKJ+/K1ArXy2PMhnknVxGhco56IYoADIhpkcIHjWKTHeBCDn0jy3QHF9MLc5BgJBEAPuqXUkk8PMhkOQK2HyDkR3kQQtKSPII1HkuwREvvVWR0eWb1tUVfmwQi/gaZQwaRmUEskJr2iIhchA+arUArWnwDVP2sKifE+axkOa89yK64fZGwkQb0RrkYnjOBRC7RnxNfxBxn9GQwnjOX02QrztTj1MPlQmSuny3SSfrQzKqiMknx8LjJFz0QQ0aumgOI4TxUlZmI4CMd4qqjQ4MOW3/YAomOD7BTdyAtc80VG1iM6KDASi4YTbBEq6okS+rfntoSLfww9luG287joR7AI4t38Mh0iWcHmiFPDUAUe6gL1wCx+JBzcdzeuOwMgFKsV2fejdG3FNbWQmB7il/WPYD4VdorZiQYoMU5BrneuuhRHPYluY5sjKzU6+OQsF0J3rxWGSIAWYJueiDvisHdgPt7R/zEwOMGJ2i1SYq6jSIEE32hYgzJoGmskBvs3HsFd0VB3awjQRmAU53EzdwVCJqJTB0JFvW5THPawwedxanpuD8BHf5lhMNMyFSYiqKgHYA2OzzzGfTFjQIcZ7lCtGrlsVql0fzEotQiptZ8OtAR+Sxm68tndTXCBm2QOYFAnMhYPhk8lpT4aDyLW3CSMOFUzpoCLgIBxon8nB8MmQApPC5ZycBUoLwGt7N/PJJC1ot8h3BMgJVYvT64e5IC0Igl3l2izoYD6ZhO6tgz2io1zRFqZz4Uh0LB/zbdiHKb9tbnUcOqiq8mGFud+11to2c5xYa9tMlLN43ReAnkIgDxI5SvTY47LqjQIjD6hawwYes7ethckjgHhpb0rkKOQa09L8QTRborTJNBQEm8KIetHO0Mn9GV53kzUd1FAQLPI9BYiVc3IBo5YjgXyj9TEKjHC58roHHnMLmFa/EQHEQ+xYTb6Pim7Sp6VFOQOJ0t56ghtN8l2LY29Xq1CG24peWV4D9T2QB0fOJnGAmdTNcydginTHXAD21wF7YNz+Km4lC1IR5UYEov5UEc/1QevbJlAuVhK4pjWSxm78d7XBXs0ooTmQs+Dz6HHsZ6Z4IwVAp1bEZfVGhoJHon8ObWHa1mqNKh1gJkUxYyFFs81o52gvjN7VTBq7GZHaIkVqYSCLU31+uWJgMRddRsg1Se3hFj5m7P5zkC266YL8LwFToG6eOweYyZHTyVKYVt+D1JubK8qHDt19qih3odtBIknKcAO2bTPVQJkotp3u7CGNDO6ARZAcIu0V+UDHR8DrsIytpEzYCUuAKCfEjQtCed0DiWkzEcKASbKYWgKLA7azoDQbtkBxrgQJQ4HZ4cByyGQ+e0gzhRHLGPIety7fWfL5M0iH5TBbk+9G5FzxFiwozWZp0DaR71QQ+Q7DdvMRRf9iHigUBESLrlkIc8a/xzK2wuuik/KRazgtHFgE77JY5Hu3q5YGKkN03NDLb4PKcQ9D9LYZrYinGSiAE9UTpI0iCYiXlewFoLAByIPkrhySyMV79jmtSE1fEeuKzTFWcI6Lfd92ILi7QiIEJ5/iZnJgP5Bv5P6iABKgODqMo0yh4vNorZpc73ceerk/wTT+VKsurzgRzWckcCo6WFJCmGo58oD9MI3DjE4+I1Eld0+sbXaqr3uA0M+zFk1ysUAMeM8+RxKHSe7KgVzRSbq3TSwwXdpaC8/GidFuBkO+hyZdjOij4XYMk+gYRzlg6HPLa4AKyIPuLC8+JJW6dHeYBTd7yaMKgYr9YHlLCkNSvbJgNloFbgQqFziQmCvJI8XApMGtZEkB4XaozpE+5UAgMhqYA1mkcoCZkIXJ29aHrgw1b8R+GEuZfOYsCZfvIQ1SIDJSzlExcs7IgHTe41Y+hDRM8h2I8rgHAvvajWhxEGZDqpfIt+WtDipyRCd1IDqKFDg3z5uPuAWy3GURRgWi2/QdwYaSfA8vlOG2Ym6bqQXKZKb1TjhyeDabWQH3g+di8UoaEX3PBrgtbx8P8CojVrfAAiDKE3lUELJKVl5J/9BLiDweWALzJr/DvfyNyRnFNG6HHOTK3gawGHoegq0s49SeibAbaK7Ftg1sKGJuCzsNzY2wE4r3TGYbS2E1sFjO0QXknDW+BZMzirmfV5k3+R0Jmcc7IX0WKmTev+jRJB9El0RBlCsshBGrW3iAV5mT9wlsEF3UKI/AczFwP2xmBUdyZot854IsTPX6jaGUBjJQVeXDErue1+Ye8UpyZbLW55HjYJZEoSxo20LmAtlwCx8zM+iAndetCtX6H1OVrZ+EyJkt1+PbXdLX+lm70dcalAjMgv3+UznKFLl+vU6SGoreiP2kwArrpMBckjgYOBlmyTnyx9TXvVf6hG/hY6MQ088V2y4KRf+gF6QFARFW+Z4ZdIBUsmAPkCvXyoLWApYCx8KjySFZ5LsI0WVDtHfbTN/GncrNEVCG+xLMPd1lIvT7IItb2U0aLIa4aPkaXQCyaoAMCN7WQDoZ+C88K8rNzxPDeKtCtWuP2ds2KbVUiJ51jEVsx/L3DnhPKyZEy/3NhZb0EewhjXOZY0y923oIcah622Z0+a6x9nSfyxxDJvNpSwdS5Fx1IOeO98B/SxuL2E70rGN2XRR6VEl53deWXnYA8/OE2TD6jjOkk8Hobc2QITrogjyCuGggHfaQxsfcYpLvEtS0tKGDMtyXYK6+LYH6WsiC05tj2MS9bAy/G1ZDaqSEpY4ApbuAF+D77X9kjfN6Rj9+RkKKflr41sYzUcqt75iNdgSQAGEBsBrGPlzEWv7E5NeLYR18UGRMSbstGlgLr7g9xN+4F7Yi1eRUIB63nt8eyopN/3xNQDV0VkicdSv8jXt5xetBeFzOVTRaSqgIeBkmbylmLX8i7OFiWIWccxJQIfNrjTmnHQhMEl2yBEY/foY1rOf77X+EF6B4r+igKGB2JLAGNobfzWZWcHpzjFzbZi31NyS7JWxR+3EPW3rZeKQCyIXc6iRZxaYD02Gq9ugioDXHNG2K3VLIkwjikdjv2a345phbYzRPxF02EhmxoIU0dktB2i7oyBN1FQRM1Qp2Po2M5wAzKf58sngi58EIkzv6hiJXip18nwcKoPjzyRxgFp9GxkOKFDkFIYVqHYeBXTCfTOaymxELtd5u9wBgLIZ8K+PdN+w9bU1/JAFpkMZu6xTA1hxjLsFUgFnAPPiYWzh0VguTWzfMGeppIEG1gw17dK/kLFABB6F7pxe7SeNYYjSkQ2S8rInLgOwWYAvMKf2ERWzHe8m5Xgaz+KCqzK8FesFOAOYq8vlBmaSTQcze0xJCbJAAeBTgmQykS9/yh6TCTrRK21LkUcMthKinhGqAUm1uAexmLpnMh3TwTJJzV4OcS7ZDzN7TLOZd5gdlmhankci10AsxFX3DFTmX/kC0Na/tveQci9jOnOJPYAvsbhHd4wFEJgLz4UhirKT0drpLmJwKjKLL4STfQxv1LesVXcAbseam94WBH5xymcj/u+/7/GjVb4lpO82C70qb8GfA2C0Q5wsr17zD8eQ4/vCjH9I8ajQ8GwYVHkjDRifyJXJheORTrxVmT0TLaZMgVfzLYNzDn/Mkz5Gy/xD8CjbXyFkOBWbPAh6Dg0sns45HqPrLOAmTt1UgPsvQHUjRO/pnvIB8dhdodoWtYVT5jWP9w2tIW7qb6Z3HmN0GJZpn11gDd/8K7nJ7n4BZtZxYO4FTLhNlh6qdNyPXpsz02sPlfF4r9GiFPyLfsZKOWAO+a6r4F7c/sjLnHXgZjm8RbRKBONqshc9XjeNPfI9Tf5toSgMNL/kWj/mbe83K43Z4TFshUgtUi1eyDz7UCtV67oLIWZLFtqAV8uwB3oKlvE26VwYjlrVIpbl3AJI1VJ73N8M8pzkUiIIwT1gA7svqWMo2UooPwTaozTaqyG8GSIe6pe5kMp+K/dGmKWlnGS4hxEuxTwmdtRaqnd4fQybzabzLFdIlDOuDeN612cB2SCk+xGK247qsURZPYXoLZChqI5Jvgq4PTJ62dwDMhhHLWkh3y2Apb8NbQLboGgtahcEs6FgOu0njQ241xvdSjeguPbc99OW7kxF9bAdzDJPoGEd53TD3vZaJM3EQTmVPJIN0tvvPg3TZWSkUWdvmlALbYOr+QpawjfSgDFFsSYBLEPJI3XirSvMrwzyEQlNq7gGyM9KSDu7wzZCxjxuB7bC7y67K9i7I4A4Z7bkTyf3Vt2IUpA3nyIcu39VyTg4COyGDdN5zTod/gknRxpz+3V3AdmAj3M1W0gPeg4U9ci3czYtTNXzoyjH3a2t1Gy5aXnsBpAdlsJRtTN1fCNtEx5SgyXckkA4ZvvPIIJ1T2RPlGlaAMVBoaBekDUfUkvgr6UBOkTbfGQ/IS4CXnXjf5S5aZ3mS9JNcQt3qWLwOzhZLhWdFMdz9JKz8xTtEzTlJ7YMBfOI3R+JaG6bJ63Bae48m03spbNEVmt4zHATEQlSQ1A88Cv869jnu51Umryum8TnY3y5KLQWYnQSshT/HrGI9azj0Tgq8AZR0IFeqmuHkjVyK/Wc+AgXJ0OnKoaQU/t+dXVyI8eQ7P3md1BfBJReygfeLIOV3MDvkCJ6P/JKo8Sf53Y//U0Lmu4OgbCoSyK1G/HQXhl9E40qx75AIBeKkan8JzLhzL0/zM6buLYSfwpvFckb9gcUxwKNw9nF/fs8Pyd6/AF4G8noQ+S5D5Huod0oYdFnHw/bl+YMf5XF/LbrC0SpwKRGPbTdkn54rE6dWAksl16SHFCv2A3+Hm/YXcC+bGHfn57AMbaOGOGRuoeqBvTz21bVhQBS4h0kE4x5ImbaTe9nE5Oxi+DvktMsVCkRrjVkKjfe78h7pHDqRIhOkSsDWExkeCu2rMc0w12cX7IZPTsxhO4tovN8VFsk5DUTO8f4W4O8wNbuQFWwmZdpOke8FyDUiCrlmao7B5bGfRRAFxImOuAei7zzGvWxianYhvC46pUZ79CyAxcBK2MZSsk/PNU1IK8F2tOnw8bZVVblCw5wLrAbOyvciC3jblXdZxM6QFFhuF1IE2AZsgBVsZinbGHfH56Z5z5EY+UBlvHvH3PY1FoiUkOxCiJ57jGVsFaW2EUr3GoNWYgHmAXfBNuelZNTeATsw9WyXMRymSF0ZdtMC9S6KfcAOyGyYzzbnpfBPwDw5t/qs/tK9wEa4KbuAZWwlev4xmV8wHUS+7dvEFAZmo62Fx4kU3ZAG4+Z/zlLeZgWbjRQQxiYik6KB5bAjcA7vsgjedhWdVAJyDc2jTYePfA+XPm7HiAtcd8weSSdwGLKmQT3sirqT1js8qUwK4TtPS0jRfz+8C2ysganrIc65md/8+v+Q7J/Dz/7jaQrDpkqudes06NQbyoZzoZQZ++pxLTweESRFfmtgZcr/soyt3LX/ffgRHM+V8+2PrIsi06Htd7De62H+yL/Q8axFzndBK2Le9dz2cD7PZvRzUKf9vAB5/tDpSdt5f5575klaYzx46Hd/ZXY5BGWIjfg7cNd6iM6Dx/7wF4JmVbN1/jL+7v6ghGwPRkKZJ0bYXHvtYX3ezfJtwRoed4m2RixiHzzC0/yM5TU74KdwfL0Evs8Ci4BJs4DH4c9Jq3iVB9j33m2wAa298TCiT9SUtKGMMtxXjO6VuGLtfc2LhJ2wL+o2PCe0krryQ8Y1VjEJKN4vajAfiN0CTmNg+codlEZG8KcHPTkdHCPb7O2Mhk5/7XUrkJxUo/aew+1LZz9cJQqIgOAA8eQWwuyUD1jDeullfVmMdqH2jDQgcg6wBjZ5rWQryyjeM9lUZVuC4YkMn7zflaHXc5g22SmIA28o3DOVrXOX4eZ1ke+seZ3oNnDZK4ulz4COXIh7GZYH7sAvup7KlBD2td0GwcAbQVClF16BbTHgcDv/utHWo2xhQAK4BEiKYTWMnV/Eal5hefEOeB16tojRvoAk1ybNAu6HU8uD2coy9n1+m0ST8sB2JsHwLEjrxJkRffCaHcXjVqHyK8Y+ZH4a0MZFvg27TqezlWV03AMshmTEmJwF3q0DXgfWwwO8ZoQVFyJhRW99+pQ+xGK45QTNVePm0GGsnJtUYBnEzj3CvfxNdkRaD63bpIf+LOKXRyYBd8HZpf6S9zs5X5RaLhiDKIb+2MdvjnncrybfucAO2HvyDraxlLNL/WGxnGt/5IzuR64FG+C2gn3cy9+InX/EqOmwtkKGItfXnBoaTjKue9p6TnusnBst/RM7/wjL2MoDvAbrgS2iO2oQUz8bYDF03CM72+06nQ5vY0oBnWY49Wz3hoS8+7LJiGMYbqeenp6e/njhX/3qV7z33nvk5eUxcuRI6uvrr/o1Ghsb8fX1BX4MuF3rQ/yGmNuSgoBZEGWBVPD+wzm+5/Un2U7yP4phPXxQI4otFukpjlwN/AJ2hqfwG37E3j0LJXm1FShpRcJc5qEJQ/1LqJ9PF4xzqlXWpiLa6tE2Hgv9I4t5l9sy9sEvoDRHSghckD761BjgZfg0JZ4/8n02vvddOadvA/WfYc3dqhD516AbGL0gMBT8JokRXgKr7vgzP+T3UuW8VuaYf4ac0aVAZDLwC/hg3my2sZSXzn4PXnAX47IP4DhyLczpiqEc0jUbbD39o0WSojyt4fE5KTv4Mc9xW/k++CkUbxBPuxApRLstBFgNx34VzWs8wLqWR2j+wWgtr92IaBlze+NgOp/twLM0NDRgsVj65R10WxHScIQRFp+vf8Jl6G5sotJ36hUf60cffcRvfvMbDh8+zJdffsm2bdtYsmTJZR+flZXFrbfeesn9X375JcHBwVd8nP0WKr948SLLly9nxowZ/OUvf+mvt7kO6CFFPZxdDCVTASeaN4xm09p7acWD//73J3EFbnsLGovk63QICHgdLL6wYGk2nSnOuMzt4sPEW+nwtsBWTwlPdlqQr2wdxhdxqLXU2Of6PLBOi3K3SNz7HnBd0MiagPX8kN8zbm8VvAif5cjZcUEeFpcIrIHslJvZzAo2164Qo50F1GvDRYa5J3Ll2E9VA+ojIEuU2ObpK/AJaGLFnM2kPHqI1A0QmCdrz0NAUw5Meh5uc9tHREoZhML6H62hI96iTViLg84w5AqWYUwnHGrXxtzKqC/0/YFYcAmTIrRl4PpoI2kBu/keL3Jb9j7YBo2vi9FuRAas3BYP3AUdT8B61vA2S2neoBvtHmSavD6PfHingLpwpmcAQ+UtLS1MnjyZ73znO9x1111X/LwTJ07YLAwCAwOv6n37zXA//fTTAGzYsKG/3uI6onsJIEbBA0riYCdUhEXz9p1LSfY9xKqVb0InJBfJd6waeL8dVmwBamFhwF5q40cREFDL66vul7GTfsh41c4O7bVdMHphzYNCHPXLqYdGdS/bgo1SG2WR2cwLIfi+U6Sxhwd4lXFbqmA7lGZADnImgoC4eGAxtK2GzaxgG0voeMMi3l2ZvVIbbJ7IYEUvxgS5RsbitOMNC++uXYQzncxcfQjXOohrg/wi4yz7ZECkP0TXVPDA8ldpCvBh931zqWoeJ3UdBRY4r9ene2BTFGdzDI6ILt/6otQ8gyBUjHYqMlxlVQcrAjYzn0wWFuyV8Phe0RFntWclg7Xta7Pv3bzNUireiZZiy5IeZAFkX9g6fLlWhruxsdHmfjc3N9zcLo363n777dx+++1X/T6BgYH4+fl9o2OEQVac1t7eTnt7u/Vv+5M3eDB7JWe1v+tgx2yoh4q8aJ762TOUx4ez7LmtRLtXsGo9ZFWKAX+pEmI3QmoBPPivf2fF0r+TNDaXl595hOLDk6X9Y0cklEQiBSclyBezDmOggv2xDHZ0DwQML1sv0IkCtFz2QiAVbp/2Fo+wjvktu3D/BfSsh+w6CQj6I2M4ZycCz0HRvLH8ke/z0uEnJDS+FSipRox2GcYGC8N5QtrVop+rGuPvkmh4IYiKqmheWPLvdE1z4ftP/5GYWadZ8STsy5NizE3ArI2QkgHTc4+R+NP/jwyv21n/yBreT7pLvgQ7LJA1GymEK8G2MNMRI0xmg20eXWpB5FvbB3ghsAqipx3jUdbxvZaXcN8G/A6y8oz6+zRgdgiwBoqfDmMzK1jHI1T8n2g5f/vACI/rBWmOdL4GN+Hh4TZ//+xnP+PnP//5NXv9xMRE2tvbiY+P5+c//zmzZs26qucPKsP9zDPPWD31wY/ZeOu5uuOwLw6axfNe//AaKrmBp5/+Gf6WNlLfBZdsUVPFAHmQ+jy458ETa18iILKWD6el8mbMMpojRkth0L5IKAvj0uITR1Bw9srMXDEehPgU2u5e8cjQiTuO8W0+Zg3rmb7rmGzPuR7ebzCGq9zlDAEpwKNGLnV97RppidkHFOmeiD4ZbXgNobh26OdM3yWvE4oCYYcTNMP6iDUQAEvnbeO2hn3Mfhlis+GtLpHvxjq4fR24d8Fd6e8TMqeSwGnVfDzt25yKmShrtoIAyAtArmwNtnlas3zD4JVx+wWpnsseC4RBhKvUaiSB95pz3O21lTT2sKr0TXgR2CNGuxijO2J2CrAI6v7Vnd/zQzJIp+Iv0aYKcr1WQLWQmunqdqanuw8et/bc8vJym1B2b972N+GGG27g5ZdfJikpifb2dtavX09qaio5OTlMnTr1il/nqgz3j3/8Y5577rmvfExhYSExMTFX87JWnnrqKZ544gnr342NjZesfAYX9l+U08hY1EjYAadGTWTrnR5M4AvWPvQXnNxh9im4UC5+4BHAJxemVcqzH/z3vxMRWIab10VeXX0/bRH+4A3sdtW8b0+MEaz6z96M0vX+AtsbbHMuW98kJEJ+n4142tMh/o5PWcZW5rJbjPZ6IBu2N1gTEkwCAuYDS+H08tH8jXvJ4A4Jj+9G2zzE3KutlNo3x7w41aNf+ZA3CTqhI8rCtrVLuMhIblx+grF15whwh0kZUrBWhly7u18HzsD0zmO0z9tAJGVsvWMZBdwkc7W9kQUqARjh5UYub5Su97U0V8KbO0D0rWZ9kCr6IPGy04CF4D67jnu9NnEvm0ipPCRG+3U4XKnpArTd7MKBldCzHDZxH9tYQtU74+zavk5ju8C53udkcNDV6Ux35zc33D3acy0WS78U0k2YMIEJEyZY/545cyYnT57k97//Pa+99toVv85VVZWfO3eO2trar3zMuHHjGDlypPXvDRs28IMf/GAIVZX3hrk/MxBxJZKlzWM2uP64kUcCXpaq6O374HnZZenvXaKaPNBCv7OAucBq2Bh5Nx9zC9tZRNXfxon3fVC70YjR3tSI0eJk/gIPpJdiVmT2xtpcTavl+UZ52njZk5MPMpMDrGG9TELbBT0vw8468ULqkFzfLDewrAR+BTtDUniRtezYs1wbZgOUVSPmogxVjHYtsR+KEyG3iCBrVfTCuVtYy4ssqMyG/5ACq/3tUo+gbQvDAn9wehRIhyOzYlnHIxxgJgU5N8kM+QLEMJ1vxSgoNHdXmK+nebE6kDJubtPUZdsHY0EaJr9PR25JUquxmHe5hY/Fy14P7IF9OUaPtgW4zw0sKcBa2Lk4he0sZn3tGhkgtA/tu5+DfPf1kaaOIN8DV1VuOfcFTn2oKu9pbKJx9I3f6FidnJy+tqq8N/7t3/6Nffv28cknn1zxc67K4x49ejSjR4++qoMaHvQWNveAg5PgPHS4W3jh0e9zPDSO1sWe3Bmyi4AM+Od1kvcuQ9sSdD9MzQPPfFj16JssnrudW5w/ZtN995J7XxLnMsfIqrvIItXnVbEYCq4GaMXow9WVm36Jr4VXbt9z62J3v72xDsAIiwdZu2BIA1IhOPkUy9jKHWRwS/vHeL3QLVW1uVKg04gotFnAtBRgHnSshd/6/oBM5sumCusRhVbWihEeV572tcVevrXfy3ykE6ICdrgvp2mWD0dDpvCjP/wBSyTcvhcCtS0oK4C/18Gi58FzP0xdVMh/P/YEH7vdwnvJ6WxNXkZVzjjJ3+72lHx6WTSG8a7DGJ5jP2BkoGTc7Fl7IBEwU+FZsJMsRmOAhTB6/hmSyOVeNrG4azuWzA54GVr3wpEWY2vOSUBqCPAIsBjeSZwnm4acTYWX3bVFKRhxDBUevxxdnS44dX7zDHBPH577TcnLy+OGG264quf021GeOXOGuro6zpw5Q1dXF3l5eQBERUXh7e3dX297HTF/gTqRL5gLlMTCTifwc2dv2kJGTa7FJ6mJOSGfQB2kvg6Ha6SVJh+oboHkbRDWCZb8Dlbd9Saeka0kkE/W/FQOjUoR7zsCOOgEFWFQH4aEz/TiNfOcYnsvXP/dnDu8UsziYp/b03PYetGZ7oEESKV8EqLU4mX/7G/7fsw0DnMff2NizinZduoV+KxIvOyzWHfdZloislvSYnjNdyWbWcGxY9PFS8sCqjowzIN5wIpSateO3ox3PpTdDG1OMAqyvRdQP9mPIN9qvrPmdQiCaQ1AntR1nAXeb5E8eFw1eHV1s2BONuFJ5fjQTE7yzRyImUnbKH/xvguA3CCoD0Jk2hxhMncJ6IV0fb3ml5Nv86wBfUGqF59FinyHYfWwSYKbp2WTShbJ5HBX6fuwBdgHpe+Kl62X/CUA0wKB5cAa2Bsyg03cS/axBRJJ2gmUdWBbaKnC45ejq3METn0KlV/dTLLm5mZKSkqsf5eWlpKXl4e/vz9jxozhqaee4uzZs7z66qsA/OEPfyAyMpKJEyfS1tbG+vXr2bt3L7t27bqq9+23ASyrV6/mr3/96yX3f/jhh6Smpl7RazhOqNyMOWyue5sJMrYzCVgN8Xd/SiofspY/EbPxNGRC7evwfpcRAIuVZ0m70/3AHChOkurSXKaRQzJV740zKTigCqgH8VBqsVVw+hfdPtRov+DQsV/TXS5v7cqlxtpTlJnufcQACyB64jEmkc/dSHHO6P3N1rDhZ+Vig5u0V40Fbo9E9udcC+8kzSOT+bzWcj/NfxgtocPdQKeu0M5iVI8ro91/mD1Pf2xmbS8AZoP3Y+dY7fWKtDnl7oXngf3wfqkxrMUHrQc/HEkPrYGqWb58SCpvsoyjTOHU5xMlwlSC1C4UoMm3Hko3G3HdgH+VfMOlXrr5c+n32/dgmxekAUCQyHcwNgvS4DtOkUwOSRxmBZuJzqmQBelrcLxAlpaFGAm1250h4H5gHhStHMuLfI89pFG4eap0luQCVbXY1mw4SnjczMCFyl1Ly3Hqw3v0NDbSERl+xcd6uYEqDz74IBs2bGD16tWUlZWRlZUFwH/913/xP//zP5w9exZPT08mTZrET3/6015f46voN8N9LXBMww22xts0WIQg6/hO0mDhhC2sYT23dn2I5eUO2ACN+ZDVbnRwBwGpbmBJRFb0K+Fcsjc53EwGd5BPAse74qjbGSoKrgRRcFXAee1mDaGbV+uX88Qv91nslZluqC3g4mooMj0cHgXMhuDJp5jAF8wnk2RySOQo/hvbRKHlwmd5Rh4b7SxNcgPLYmA1NM53Zb3zGl7lAY59Pl0qx9/WPifHtV90haY87YHBvuBQnysfJ4u0JcBqmDzhIA/wKmu61kuYeAM0bofP2sWAgZH/npSIGMEUqFvlTh5TyCGZTOZzghupOjZOFmslGMMF9YVqZwdGMZt5f/VOvn4h15tnbe5+0ELio5BbMGKoo+Tmv+Ascc7HSSCfdN4jmUOMzmmWEcf7je9ztXYUoZi+z/dD46OufOh8K+tZw44Ty40pilkgz9IH1egFgo4o30PXcF8vBlU72NBB/2LpnkCF8fe+aDnrVbBj1XLcJrRT5hzB/WtfxZ82LPvh9gzYrbU/lQEftENEDkwtBqcaGD2tmYWz9xKZXMZRppDvnMDHd9zCia4J1BWFajlfjB0sz3tCvSdUBWgORw9GHtys5HrDw/RTvzmJofZGfkYgCi0MUb5REDzhFLM4QCzHmUQ+6e0ZeO3vFi/iLWjMg8J2wwPTvezkaO011sCRObF8zC1itDOni+K2Dp4owbY9ThntgcMcNtf/1uaOF0VJu5gLHJs9nVfng7NzF6npHzLZpRiLC8zOBddiMUk1aMvJPEgoBs9C8K9sY07yJyTNziXKuYTPSKBwchz7J8+k6sQ4ufS5iHxXAWWuUB8gt2YQ+TYvUM3Hao95Marnr+X4CUbkexQi42Haz+ngH3OWCc4nuIWPSeQok8iXlM8+4DD0ZMKROmN4sUV7epovuKYDs6BurTuv8QAfkipGeyPy3d0HRsKoArUovXI6O51x6uh7VflgR3nc/Yq5+lT3UCOABPD2FO/7HhiR1sLSoG2s5hW+3fUxllfEO2nNg+wWw7iBODSxQFwIsud0IpAEp2YFc5w4vmACB5hJKRGUM4Zzx8aI8a5CM+KIctN/tmm3TtNNX865AO7aT91I6z/DEMUWDCS2ERxaSSRlTCOXKE4Sx3FSG/bhehhRshnQky/K7BCGKgpCKuoTvMBzObASGue68orzQ2xmBZ+cnQkb3CVkWgA0V2A7DtZRvZChQm+poSjwDhPPdCGwuo0ZoQdYwWYe6npFvO8t0LoF8lsk51uN4b/PAhL8wSkB2cdyCnRMgyzf2RwnjhLGc4hkzhBO1dkQyHMX+a5C7Fw9Itv6z04MGQdDxvWbu3bzRoy0/jMCke8IGD35DOGcIZIyZnKAGzlBHMcZt79K5DsPyIDjNSKdRdpbuSDFZyle4JkErILGh1z5yPkWNvAQb55dBlnuRr1Gs771bBm2EQRwXBkfOI+bohrw6cN7NDVCTOCg97iV4R4QzCE4fVpYKBAt3mUisADG3f05yeSwiO2srHlHwskZ2CgEvahF91CjnCFgDKLtYrXbLDgVGEw5Y8gngXLCqSaQMiKpIZAmfKiuDaKj3geanQwDbm+4zQrNuwPf4Fp83JoIoJZwygmimhuoJI7jhFNOJGWE5tUZmmsfUAwV5aKczVPXI7RbdCKS45wFp5YG8y6LySGZzdUr6N7qJUpxN1Chb8Cie9nKCxk82IfONeNNKIR5SjJ7OoxY0sKKoM3M5ADpvCdjbHOAPXA8z7ofmTUCo0/ICwtH4umzsa5czyb6a4vTcI4TRznh1DJK+xlAU7sPDVUBMkbYvEAFW8PtjixE3Xtw9WsiKKAaP+oJoJYISgmihnDKSSCfcM4wrqZKvpfFiJzvh+pSkcxCDBMbiBjs6EAgXbulwOuBd1pl/NSbE40FaS7Yetl6d8pQKEJThvtaowz3gGFWbv5IkctYIM6oSF0GzG5jTuhu7mMTyeQwMe+UhNCOQsdh2N9glKmY/ZxJQFAkMAZZDERqt0SoCvGlmkBOEkU1gdTzLasBb8WTJny4yEg6tS3xAJzpxIUuPGjFkwv4IAbbj38wiloiKCOA84RTjn9BG5xCCttztZ+lcLzSaFZrMh1vLDApBPHI7gLS4Vh4NJu5hwzSOXZ6GrzhKga7AKhqxPCyldEenPRmvAOBaAi2yLVOA1a1MTk0j3QyWMEbTC4vlsXp34Ei+KxSrrQeR9E3wAxFizLpcq3L+Dioi3ennHBqCKKccM4TQD3fEgOOD614cAHPXuV7JBfxoQlPWvGhiUBqGMV5AqhlPCUEUUNwZYN41JpckwucgupyiYaZ4z7WPQN9wXUaMAVYBZ8njuMAM3mDFew9mwb7tDavg2iZtOPI0qWWodfOOICGu6C274Y7PkAZ7r4wtAw39D64Qfe+oyBG6wNNBfdVdST5HiaVD7mHzUwsPwWZSFtJIRw3ebF6YZde9xqhvWKYG1iiEWOu6VACkTVDOOArtxbfEbS7jbTZj9aZLpzpxKehDdcWRDPpK4YaxFDXAGeAYmisgbJ28Rn0yvgLGFnDaKRKPiwSCfFrXvY7IfPYzVwOk8QnOXPEWOei7exl72U7coHOcMBcmW0/+jMC/DTvOxFIgxnJe5lGLmns4c7yXWLE9gAZEqXRq7B1n1Nf8uoFbRFuYNHlWpfxcdpP3YL6Q4cbNPm69yrfbu0X8WrohgbkVo7YzhoMYT4DjcVQoRWNlmHUsmM6pqloVfIJyB6n8+Hz8HG8wQr2kMbRhkTaNvqLbBdgGs1bg20ro6OHxu0ZQMOdV993w53opwx3Xxh6hlvH3jvRFZxWeR6G5L8TgdkyWSyRo8ziAIt4l+CCBlFyu4BiaC2WgQ7mrK/+Lj527+APWNxka1F8kdPqhYQM7esy2rVbG9ACPQ3Q1AK17YZx1rc+0U2p+T2jgFh/cBqHtHVpHsjBmMkcYCZHmUJGVzp1u0PFo9mJ/KwHYxaz/qnsK4UVgxf7DgTdtIUCcZI/jkfaxxLBP+0s6c4ZTOEoMznA9KJjcBQ4DOyBnjNQWGdstaOXVervom/lobdZBbiBjxc4+WLIthuXqpAurLJNO9AAjQ3Q2G7EdvSlonlrHz3K5Q9M9QLPaGTxMA+YDmfj/ckgnf3MJI8pHMuZbhjrLDQPuwKjdE1/l6HkZZtRhvtao6rKrwv2VbnmPFY1VETATou1vevY+ekcS0wkPzSBUiKZEn+UxPg8ohMqIB88C2D2QaAcqiuN9ipzBzcYLWYe7eBZAx41tt3YcOkMKvOIC/vfdfRObr3xLdQZAoIQQ63n3dPhWGA0+Uwik/nkcDPFp+PgbVfxsIvQ8nz6pKwyLm1fM587xeDF3GYIttexE86HQpZWAV4AdSWhbFy4msNjp3GUKZTEZJIQ8xmT5xZDPDgVQlwhxB2G2mo422U0SOlNjnrUyQORb9d28KizHQ0El8q3ufv7AkbjpL351BejurcfFIJEraYji5AEKE4OI5dpmozP48jZJMh1NxakJcD5RgzZNnvZalF6Tehygk6nvj3fAVAe93Wnt1GKAYh3ok0eS0Tc10RgAfgnniXBOZ80dhOH9JBG51UYRWG5wBnoqRRPRfeO9bX9Nyl5uVwXt1WRBQIh2jFqHkjPXPjMP5ovmMBu0qTnvD2Ohh3BhrE+iFQDU43tksPsxyuF5rjYzwHQ/WOr5Ejl9nSk8CwJfBdWEecmcq3LeFzdKZz2ICJSjBjCSqioMcxgX6TGnMTSF7NBGF58rD84hWDUkGhFcsWJYSLXxImMdyVQlxdqFJ2VaMdqnfx2FmOyoXk08VCW7wH0uHMawLsP79HcCMm+g97jVoZ70PBVpjECCAJ3VzGMEYjiSIURMS2MDyohmUNEUcJ4TjKFo0S0l+FV2i2JwjOI9dbzdw2IhmuBnjYJf3d0QmeX7RG5OIOHO3i4gZMXElr3QtYVIYhGC0E86nBoHOfKUecpnGQ8pURwiGRKiOLU2fHS8mJWZGVogzPMWXH79q6hrtCGE/YGXJdt3TRGyyCfCETG9Yl7qW2MCz1JFCXcTA5RnCSCMqZ0HcVyqkNkuhCoRMSoEpHxFqABelrgQjtcaOtdvl1dtLC6OyLb/oic63UgIdotAVoiR1DmFsFRRMZLiCKHmzlZHUV3kZeEwYsQ2c4D2jqwjR5dbkDMUEcZ7muNMtyDistt1qFnp+1mIydineDE9B6Cx5cyRmtdiaCMECq5kROEUElQe40YcnOBWQO2OT69HUw/BBdEmel5cN0FCZDDaAxypdo5iBPcyJeEcIZwa/tZWVckdQdDDUWWizEUplkfWWlfJW6/TelwUGrDCfuxonqEyVyFHiQzDvRhJ9pAH6LAf/pZIpxLre1ZYyjnBiqZwBcEdVVjqeyQRWotRohJl+0Wepdvc42HLzaFbS2RI6h2C6SSEL5gApWEUEYE+SRID/nJSNkvQJ9YmIfRR27dO8CcLTcPCoLhI98DaLj3XwPDPUsZ7j4x/Ay3md7mJdsb8TDpsQ5GvJMwDIMeAe5hdUT5niSESpvea73txdwGM5KLOGsNMwBdWuuM3krThA/nCaAZH86b+mWrCeIk46UvvMwiXnUZosAKMAZjtLViu2rQjbXysIcnvXnguhE3WU93T2PQTzzGBLN4cI1oJCigmvGcJIhqq4yP4jzeNDGKWnxosrY09ibfFxlp0xZZQyD/wM+mJ7ySEEoaxtNW4W940xXarQiR72a0O/TmR3tjPZzlewANd/Y1MNwpg99wq+K0QUsHtl/2RkTJ1WEzS7nZAiU+UBIEBMgVDQNGQZufPwUR/hSMwpizPAptjGMPI7xb8fRuxcPrAm60ay0yXdaWmXZGcrHLjYttI2lt9qT7vJd4E/UYnsV57ffzdr/Tg+FV62FwXYnZG2v98yqGD2b5BqN5UC9O1GS8zR/KLFDmDwdDAdmJjDDoGGWhYpSFirBo21ni2vSzEaNa8PRuZaT7RUY6t+PGRQCrjHfhTDtuXGjxEPlu9oTzTrZyrf9ehu39nT0Y3rTeHGZfTPn/t3f/MVXd9x/HXxcmF39BtVL8dUHErrbblA2r4pooKxlaU8uSumZZCjpraqONimmFpi3JsgXX2tnVukrTFJbNRu2skq121bhas/ij/iKzbpjgpCD2os4BSvq96OV8/9B75cIF7uVyf5x7n4/khHsP55zP++LxvO/nxzmfroP0OL9DItA/9a3+N4kEJO6I5+0s7Dq225XIL0saKd1KkupTb8+V7LrI3aO7j3F0vb7Hos4Rw3UjcbhuuJ6QJnkOu3U9KtK1tHT56XpkatfXMtTzRrHuybpr7aO3z4fY0fXf3/VIM9ez076lu+e4K6EnSVeTpKv3SbL0PK9drxOlzntun9/uJwC6msddRXU/x13nc/fz2vXa/Yx/V/dO99n3utesOccRHCRuU7jZ5WfXr4Rdmxq73vjSZbmaJF11vXc9ouXOLQ+ui5nrp+R5YZPuPgq167Oe3S0AXZNy99fdkzQXMvSl+znuejiu65l73efEvtO0fmPo7VYnj+k37/Sldz23vX0xdf3seo5LupugezvHu98c2f387vp5EFLOO0sg+5sAidt0bnZ73bWpUfLsO5TuXuy6rr/z+v/u/LyhLtv3Vl73fmhvSbl7cuZChoHo74tq19fdfw69+/7WEOmG6xLn7/nd/Zzu+hyBW93263ochFXXAYgD3d8ESNym1/2C4WpudPUZumouUs+5h/u7qHU/fvcLlreLF8kag8nb+S3dbVJ3vZZ6P79d7/srw5fzu+t7b/EBwUfijhrda+JSz6+P3f+5+7qY9VeGt6+mXMQQTL21NnXla7Lu7/jycnzO74hHjRvm1/1C0/191+Z1f44DRILeBm66cH7HHBI3YgcXLkQzzm9EFxI3ACA6OBVYrZlR5QAAhFCMNJXHhTsAAADgO2rcAIDoECM1bhI3ACA6uJ6dE8j+JkDiBgBEhxh55Cl93AAAmAg1bgBAdOB2MAAATCRGBqfRVA4AgIlQ4wYARIcYqXGTuAEA0SFGEjdN5QAAmAg1bgBAdGBUOQAAJkJTOQAAiDRBS9z19fVatmyZMjIyNHToUGVmZqqsrEwdHR3BKhIAEMtuDsLih0OHDunxxx/X+PHjZbFYtGfPnn73OXjwoH7wgx/IarVqypQpqqqq8q9QBTFx19bWqrOzUxUVFTp79qw2bdqkrVu36qWXXgpWkQCAWOYchMUP7e3tmj59urZs2eLT9hcuXNDChQuVm5urmpoarVmzRs8884w+/fRTv8oNWh/3/PnzNX/+fPf7yZMn69y5c3rnnXe0cePGYBULAIhVIe7jXrBggRYsWODz9lu3blVGRobeeOMNSdKDDz6of/zjH9q0aZPy8/N9Pk5IB6e1trZq9OjRvf7e4XDI4XC437e1tYUiLAAA3LrnHqvVKqvVGvBxjxw5ory8PI91+fn5WrNmjV/HCdngtLq6Om3evFnPPvtsr9uUl5crOTnZvdhstlCFBwAwO9ftYANd7jSV22w2j1xUXl4+KOHZ7XalpqZ6rEtNTVVbW5u++eYbn4/jd+IuKSmRxWLpc6mtrfXYp6mpSfPnz9fixYu1fPnyXo9dWlqq1tZW99LY2OhveACAWBVI0u7SzN7Y2OiRi0pLS0P7Ofrhd1P5unXrtGTJkj63mTx5svv1pUuXlJubqzlz5ujdd9/tc7/Bao4AAGCgkpKSlJSUNOjHHTt2rJqbmz3WNTc3KykpSUOHDvX5OH4n7pSUFKWkpPi0bVNTk3Jzc5Wdna3KykrFxXHbOAAgSG4qsA5gP28H81dOTo727t3rsW7//v3Kycnx6zhBy6RNTU2aN2+e0tLStHHjRl25ckV2u112uz1YRQIAYlmIbwe7ceOGampqVFNTI+n27V41NTVqaGiQdLv7t7Cw0L39ihUr9J///Ecvvviiamtr9fvf/147d+7U2rVr/So3aKPK9+/fr7q6OtXV1WnixIkevzMMI1jFAgAQEidOnFBubq77fXFxsSSpqKhIVVVV+vrrr91JXJIyMjL08ccfa+3atfrd736niRMn6r333vPrVjBJshgRnEXb2tqUnJwsqUQSfd8AYD4OSRvU2toalH5jqUuueLZVSgigjI42qSI5qLEOBiYZAQBEh1sKrAOYSUYAAMBgo8YNAIgONyVZAtzfBEjcAIDoMICR4T32NwESNwAgOtDHDQAAIg01bgBAdHBNMhLI/iZA4gYARIdAB5eZZHAaTeUAAJgINW4AQHRwKrDqKE3lAACE0C0Fdh83o8oBAMBgo8YNAIgOMVLjJnEDAKJDoInXJImbpnIAAEyEGjcAIDo4FVhTOaPKAQAIoRhpKidxAwCiQ4wkbvq4AQAwEWrcAIDocEuSEcD+9HEDABBCgSZekyRumsoBADARatwAgOhAUzkAACYSI4mbpnIAAEyEGjcAIDrcktQZwP6B7BtCJG4AQHRwKrCmcpMkbprKAQAwEWrcAIDocEuBVUdNUuMmcQMAogOJGwAAE7mpmEjc9HEDAGAi1LgBANGhU4GNKg9k3xAicQMAosMtSZYA9jdJ4qapHAAAEwlq4l60aJHS0tKUmJiocePG6emnn9alS5eCWSQAIFbdGoRlALZs2aJJkyYpMTFRs2bN0hdffNHrtlVVVbJYLB5LYmKiX+UFNXHn5uZq586dOnfunHbt2qXz58/rySefDGaRAIBYdXMQFj/t2LFDxcXFKisr06lTpzR9+nTl5+fr8uXLve6TlJSkr7/+2r189dVXfpUZ1D7utWvXul+np6erpKREBQUFunnzpoYMGRLMogEACLrf/va3Wr58uZYuXSpJ2rp1qz7++GO9//77Kikp8bqPxWLR2LFjB1xmyPq4r127pm3btmnOnDm9Jm2Hw6G2tjaPBQAAnzgHYZF65CGHw+G1uI6ODp08eVJ5eXnudXFxccrLy9ORI0d6DfPGjRtKT0+XzWbTE088obNnz/r1MYOeuNevX6/hw4fr3nvvVUNDg6qrq3vdtry8XMnJye7FZrMFOzwAQDQxAljusNlsHrmovLzca1FXr16V0+lUamqqx/rU1FTZ7Xav+zzwwAN6//33VV1drT/96U/q7OzUnDlzdPHiRZ8/ot+Ju6SkpEfHeveltrbWvf0LL7yg06dPa9++fYqPj1dhYaEMw/uY+9LSUrW2trqXxsZGf8MDACAgjY2NHrmotLR00I6dk5OjwsJCZWVlae7cufroo4+UkpKiiooKn4/hdx/3unXrtGTJkj63mTx5svv1mDFjNGbMGH3729/Wgw8+KJvNpqNHjyonJ6fHflarVVar1d+QAAAYNElJSUpKSup3uzFjxig+Pl7Nzc0e65ubm33uwx4yZIi+//3vq66uzuf4/E7cKSkpSklJ8Xc3SVJn5+0HwfbWXwAAgFkkJCQoOztbBw4cUEFBgaTbee7AgQNatWqVT8dwOp06c+aMHnvsMZ/LDdqo8mPHjun48eN65JFHNGrUKJ0/f16vvPKKMjMzvda2AQAwm+LiYhUVFWnGjBmaOXOm3nzzTbW3t7tHmRcWFmrChAnufvJf/vKXmj17tqZMmaKWlha9/vrr+uqrr/TMM8/4XGbQEvewYcP00UcfqaysTO3t7Ro3bpzmz5+vl19+meZwAEBUeOqpp3TlyhW9+uqrstvtysrK0t/+9jf3gLWGhgbFxd0dTva///1Py5cvl91u16hRo5Sdna3Dhw/roYce8rlMi9HbSLEI0NbWpuTkZEklkkj2AGA+Dkkb1Nra6lO/8UDczRVXJQVSRpukMUGNdTAwyQgAIEoE8NxS9/6Rj0lGAAAwEWrcAIAoMcAHjnvsH/lI3ACAKEFTOQAAiDDUuAEAUeKWAmvuNkeNm8QNAIgSsdHHTVM5AAAmQo0bABAlYmNwGokbABAl6OMGAMBEYqPGTR83AAAmQo0bABAlYmNUOYkbABAlaCoHAAARhho3ACBKMKocAAAToakcAABEGGrcAIAowahyAABMhKZyAAAQYahxAwCiBKPKAQAwkdhoKidxAwCiRGwMTqOPGwAAE6HGDQCIErFR4yZxAwCiRGz0cdNUDgCAiVDjBgBECW4HAwDARGgqBwAAEYYaNwAgStxUYGmNUeUAAIQQTeUAACDCUOMGAEQJRpUDAGAiNJUPGofDoaysLFksFtXU1ISiSABAzLk5CIv/tmzZokmTJikxMVGzZs3SF1980ef2H374oaZOnarExER973vf0969e/0qLySJ+8UXX9T48eNDURQAACGzY8cOFRcXq6ysTKdOndL06dOVn5+vy5cve93+8OHD+tnPfqZly5bp9OnTKigoUEFBgb788kufy7QYhmEM1gfw5pNPPlFxcbF27dql73znOzp9+rSysrK8butwOORwONzvW1tblZaWJmmtJGswwwQABIVD0ia1tLQoOTk5KCW0tbXdOXagueJ2rI2NjUpKSnKvtVqtslq9H3fWrFl6+OGH9fbbb0uSOjs7ZbPZ9Pzzz6ukpKTH9k899ZTa29v117/+1b1u9uzZysrK0tatW30L0wgiu91uTJgwwTh+/Lhx4cIFQ5Jx+vTpXrcvKyszJLGwsLCwRNly/vz5oOWab775xhg7duygxDlixIge68rKyryW63A4jPj4eGP37t0e6wsLC41FixZ53cdmsxmbNm3yWPfqq68a06ZN8/nzBm1wmmEYWrJkiVasWKEZM2aovr6+331KS0tVXFzsft/S0qL09HQ1NDQE7ZtaMLS1tclms/X41mYGZo2duEOLuEPPrLG7Wk5Hjx4dtDISExN14cIFdXR0BHwswzBksVg81vVW27569aqcTqdSU1M91qempqq2ttbrPna73ev2drvd5xj9TtwlJSX6zW9+0+c2//73v7Vv3z5dv35dpaWlPh+7t+aI5ORkU52oLklJSaaMWzJv7MQdWsQdemaNPS4uuEOqEhMTlZiYGNQyIoXfiXvdunVasmRJn9tMnjxZf//733XkyJEeiXjGjBn6+c9/rj/84Q/+Fg0AQMQYM2aM4uPj1dzc7LG+ublZY8eO9brP2LFj/dreG78Td0pKilJSUvrd7q233tKvfvUr9/tLly4pPz9fO3bs0KxZs/wtFgCAiJKQkKDs7GwdOHBABQUFkm4PTjtw4IBWrVrldZ+cnBwdOHBAa9asca/bv3+/cnJyfC43aH3ct0eD3zVixAhJUmZmpiZOnOjTMaxWq8rKynrtX4hUZo1bMm/sxB1axB16Zo3drHH7qri4WEVFRZoxY4ZmzpypN998U+3t7Vq6dKkkqbCwUBMmTFB5ebkkafXq1Zo7d67eeOMNLVy4UNu3b9eJEyf07rvv+lxm0G8Hc6mvr1dGRkaft4MBAGA2b7/9tl5//XXZ7XZlZWXprbfecrcsz5s3T5MmTVJVVZV7+w8//FAvv/yy6uvrdf/99+u1117TY4895nN5IUvcAAAgcMwOBgCAiZC4AQAwERI3AAAmQuIGAMBETJm4zTZN6KJFi5SWlqbExESNGzdOTz/9tC5duhTusPpUX1+vZcuWKSMjQ0OHDlVmZqbKysoG5ZGCwfbrX/9ac+bM0bBhw3TPPfeEO5w++TsdYLgdOnRIjz/+uMaPHy+LxaI9e/aEOySflJeX6+GHH9bIkSN13333qaCgQOfOnQt3WP165513NG3aNPfT0nJycvTJJ5+EOyy/bdiwQRaLxePeZQycKRO32aYJzc3N1c6dO3Xu3Dnt2rVL58+f15NPPhnusPpUW1urzs5OVVRU6OzZs9q0aZO2bt2ql156Kdyh9aujo0OLFy/Wc889F+5Q+uTvdICRoL29XdOnT9eWLVvCHYpfPv/8c61cuVJHjx7V/v37dfPmTf34xz9We3t7uEPr08SJE7VhwwadPHlSJ06c0I9+9CM98cQTOnv2bLhD89nx48dVUVGhadOmhTuU6OHzdCQRYu/evcbUqVONs2fPGlLfs41FqurqasNisRgdHR3hDsUvr732mpGRkRHuMHxWWVlpJCcnhzuMXs2cOdNYuXKl+73T6TTGjx9vlJeXhzEq30nqMSuSWVy+fNmQZHz++efhDsVvo0aNMt57771wh+GT69evG/fff7+xf/9+Y+7cucbq1avDHVJUMFWNu7m5WcuXL9cf//hHDRs2LNzhDMi1a9e0bds2zZkzR0OGDAl3OH5pbW0N6gw/saSjo0MnT55UXl6ee11cXJzy8vJ05MiRMEYWG1pbWyXJVOez0+nU9u3b1d7e7tfjMcNp5cqVWrhwocd5jsCZJnEb3aYJNZv169dr+PDhuvfee9XQ0KDq6upwh+SXuro6bd68Wc8++2y4Q4kKfU0H6M/0fvBfZ2en1qxZox/+8If67ne/G+5w+nXmzBmNGDFCVqtVK1as0O7du/XQQw+FO6x+bd++XadOnXI/6hODJ+yJu6SkRBaLpc+ltrZWmzdv9nua0GDyNW6XF154QadPn9a+ffsUHx+vwsJCGWF4aJ2/cUtSU1OT5s+fr8WLF2v58uUhj3mgcQPerFy5Ul9++aW2b98e7lB88sADD6impkbHjh3Tc889p6KiIv3rX/8Kd1h9amxs1OrVq7Vt27aYmWozlML+yNMrV67ov//9b5/bTJ48WT/96U/1l7/8xWOCc6fTqfj4+LBME+pr3AkJCT3WX7x4UTabTYcPHw55k5e/cV+6dEnz5s3T7NmzVVVVFfQ5dXszkL93VVWV1qxZo5aWliBH57+Ojg4NGzZMf/7zn92zCklSUVGRWlpaTNEiY7FYtHv3bo/4I92qVatUXV2tQ4cOKSMjI9zhDEheXp4yMzNVUVER7lB6tWfPHv3kJz9RfHy8e53T6ZTFYlFcXJwcDofH7+CfoM0O5iuzThPqa9zedHZ2Srp9W1uo+RN3U1OTcnNzlZ2drcrKyrAlbSmwv3ckGsh0gBg4wzD0/PPPa/fu3Tp48KBpk7Z0+zwJx7XDH48++qjOnDnjsW7p0qWaOnWq1q9fT9IOUNgTt68GY5rQcDh27JiOHz+uRx55RKNGjdL58+f1yiuvKDMzM6IHmDQ1NWnevHlKT0/Xxo0bdeXKFffv/JnwPRwaGhp07do1NTQ0yOl0uu/1nzJlivu8iQT9TQcYiW7cuKG6ujr3+wsXLqimpkajR4/u8X80kqxcuVIffPCBqqurNXLkSPc4guTkZA0dOjTM0fWutLRUCxYsUFpamq5fv64PPvhABw8e1Keffhru0Po0cuTIHuMHXGN8zDCuIOKFdUx7AC5cuGCK28H++c9/Grm5ucbo0aMNq9VqTJo0yVixYoVx8eLFcIfWp8rKSkOS1yXSFRUVeY37s88+C3doPWzevNlIS0szEhISjJkzZxpHjx4Nd0h9+uyzz7z+bYuKisIdWp96O5crKyvDHVqffvGLXxjp6elGQkKCkZKSYjz66KPGvn37wh3WgHA72OAJex83AADwXdhHlQMAAN+RuAEAMBESNwAAJkLiBgDAREjcAACYCIkbAAATIXEDAGAiJG4AAEyExA0AgImQuAEAMBESNwAAJvL/HlI+LbU6yX8AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "u_vec = jnp.linspace(0., 1., 250)\n", "args = jnp.stack([x.flatten() for x in jnp.meshgrid(*[u_vec] * model.U_ndims, indexing='ij')], axis=-1)\n", "\n", "# The `prepare_func_args(log_likelihood)` turns the log_likelihood into a function that nicely accepts **kwargs\n", "lik = vmap(model.forward)(args).reshape((u_vec.size, u_vec.size))\n", "\n", "plt.imshow(jnp.exp(lik), origin='lower', extent=(-4, 4, -4, 4), cmap='jet')\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2023-12-20T11:44:48.110611405Z", "start_time": "2023-12-20T11:44:43.934232607Z" }, "execution": { "iopub.execute_input": "2024-09-23T22:36:04.825656Z", "iopub.status.busy": "2024-09-23T22:36:04.825479Z", "iopub.status.idle": "2024-09-23T22:36:10.586974Z", "shell.execute_reply": "2024-09-23T22:36:10.586441Z" } }, "outputs": [], "source": [ "\n", "\n", "# Create the nested sampler class. In this case without any tuning.\n", "exact_ns = NestedSampler(model=model, max_samples=1e5, k=0, s=5, c=model.U_ndims * 100)\n", "\n", "termination_reason, state = exact_ns(random.PRNGKey(42))\n", "results = exact_ns.to_results(termination_reason=termination_reason, state=state)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2023-12-20T11:44:48.160257432Z", "start_time": "2023-12-20T11:44:48.113294903Z" }, "execution": { "iopub.execute_input": "2024-09-23T22:36:10.589488Z", "iopub.status.busy": "2024-09-23T22:36:10.589181Z", "iopub.status.idle": "2024-09-23T22:36:11.049834Z", "shell.execute_reply": "2024-09-23T22:36:11.049391Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------\n", "Termination Conditions:\n", "Small remaining evidence\n", "--------\n", "likelihood evals: 182018\n", "samples: 2100\n", "phantom samples: 0\n", "likelihood evals / sample: 86.7\n", "phantom fraction (%): 0.0%\n", "--------\n", "logZ=-1.66 +- 0.14\n", "max(logL)=1.38\n", "H=-2.54\n", "ESS=216\n", "--------\n", "theta[#]: mean +- std.dev. | 10%ile / 50%ile / 90%ile | MAP est. | max(L) est.\n", "theta[0]: -0.0 +- 1.4 | -1.9 / 0.0 / 1.8 | 2.0 | 2.0\n", "theta[1]: -0.7 +- 3.5 | -4.9 / -1.2 / 4.5 | 3.4 | 3.4\n", "--------\n" ] } ], "source": [ "# We can use the summary utility to display results\n", "exact_ns.summary(results)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2023-12-20T11:44:49.050606630Z", "start_time": "2023-12-20T11:44:48.158276801Z" }, "execution": { "iopub.execute_input": "2024-09-23T22:36:11.052106Z", "iopub.status.busy": "2024-09-23T22:36:11.051911Z", "iopub.status.idle": "2024-09-23T22:36:12.490261Z", "shell.execute_reply": "2024-09-23T22:36:12.489759Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/albert/miniconda3/envs/jaxns_py/lib/python3.11/site-packages/jaxns/plotting.py:48: UserWarning: Found samples with zero likelihood evaluations.\n", " warnings.warn(\"Found samples with zero likelihood evaluations.\")\n", "/home/albert/miniconda3/envs/jaxns_py/lib/python3.11/site-packages/jaxns/plotting.py:52: RuntimeWarning: divide by zero encountered in divide\n", " 1. / num_likelihood_evaluations_per_sample\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We plot useful diagnostics and a distribution cornerplot\n", "exact_ns.plot_diagnostics(results)\n", "exact_ns.plot_cornerplot(results)" ] }, { "cell_type": "code", "execution_count": 126, "metadata": { "ExecuteTime": { "end_time": "2023-12-20T11:44:49.050742641Z", "start_time": "2023-12-20T11:44:49.047860612Z" } }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 1 }