{ "cells": [ { "cell_type": "markdown", "id": "183c6c65", "metadata": {}, "source": [ "# Indexing a phantom from scratch\n", "\n", "`anri.index` finds each voxel's orientations in scanning 3DXRD data with no grains, tomography or point-by-point map to start from: only the phase and the data.\n", "Instead of scoring voxels one at a time, it fits every voxel's orientations at once with the forward model, so that voxels sharing a beam path don't bias each other.\n", "\n", "The steps:\n", "\n", "1. **Rings and data.** The sparse pixels are binned once into a coarse histogram `H[ring, eta, omega, dty row]`, and a row-summed \"lit\" map of where there is intensity.\n", "2. **Pruning.** An orientation grid covers one fundamental zone of the crystal's Laue group. Each orientation's *completeness*, the fraction of its predicted spots that land on lit bins, is a cheap first filter; its matching tolerances come from the grid spacing and the data. Then a global, intensity-aware fit gives every remaining orientation one occupancy, and an orientation is kept if the fit needs it: its *likelihood ratio*.\n", "3. **Occupancy.** The data are linear in the sample's density over position and orientation, `d = A f`. Each voxel keeps its best candidate orientations, and their occupancies are fitted by MLEM to the histogram, every voxel jointly.\n", "4. **Populations.** Each voxel's occupancy is grouped into orientation populations (a grain, its twin, ...) with fractions, mean orientations and spreads.\n", "\n", "Here we render the [phantom](phantom.ipynb) as a scanning-3DXRD dataset with Anri's renderer, write it as an ImageD11 dataset, index it with the functions of `anri.index`, and compare with the truth.\n", "`python -m anri.index ` runs the same steps on any ImageD11 dataset.\n", "\n", "This runs in a few minutes on a laptop CPU. It is stored with its outputs and is not re-run when the docs are built." ] }, { "cell_type": "code", "execution_count": 1, "id": "677f8bff", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:50:09.731648Z", "iopub.status.busy": "2026-10-05T06:50:09.731560Z", "iopub.status.idle": "2026-10-05T06:50:13.174839Z", "shell.execute_reply": "2026-10-05T06:50:13.174329Z" } }, "outputs": [], "source": [ "import anri.utils\n", "\n", "anri.utils.setup() # before any JAX computation\n", "\n", "import os\n", "import tempfile\n", "import time\n", "\n", "import h5py\n", "import jax.numpy as jnp\n", "import numpy as np\n", "from ImageD11.sinograms.tensor_map import TensorMap\n", "from matplotlib import pyplot as plt\n", "from matplotlib.colors import LogNorm\n", "\n", "import anri.crystal\n", "import anri.geom\n", "import anri.index as ix\n", "import anri.io\n", "\n", "start = time.time()" ] }, { "cell_type": "markdown", "id": "a3dd1314", "metadata": {}, "source": [ "## The phantom\n", "\n", "A 316L-like stainless steel slice: 38 grains in a disk of radius 25 µm, cells of about 1.5 µm misoriented by a few tenths of a degree, and twin lamellae in the largest grain, on a grid of 0.5 µm voxels." ] }, { "cell_type": "code", "execution_count": 2, "id": "7545adc9", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:50:13.176456Z", "iopub.status.busy": "2026-10-05T06:50:13.176242Z", "iopub.status.idle": "2026-10-05T06:50:13.756693Z", "shell.execute_reply": "2026-10-05T06:50:13.756089Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "truth = TensorMap.from_h5(os.path.join(\"..\", \"..\", \"..\", \"tests\", \"data\", \"phantoms\", \"am316l\", \"am316l_tmap.h5\"))\n", "truth.get_ipf_maps()\n", "a = truth.phases[0].lattice_parameters[0]\n", "lpars = np.array([a, a, a, 90.0, 90.0, 90.0])\n", "B = anri.crystal.B_matrix(lpars).astype(np.float32)\n", "ops = anri.crystal.laue_rotations(anri.crystal.symmetry_matrices(225), anri.crystal.B_matrix(lpars))\n", "inside = truth.phase_ids[0] >= 0\n", "fig, ax = plt.subplots(figsize=(4.5, 4.5), layout=\"constrained\")\n", "ax.imshow(np.where(inside[..., None], truth.ipf_z[0], 1.0), origin=\"lower\")\n", "ax.set_title(\"truth: IPF-Z\")\n", "ax.set_xticks([]), ax.set_yticks([])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6bbb07a4", "metadata": {}, "source": [ "## Simulating the scan\n", "\n", "A pencil beam of 1.4 µm FWHM, dty from −30 to 30 µm in 1 µm steps, 1800 frames of 0.1° over 180°, a 2048 × 2048 detector of 75 µm pixels 150 mm from the sample, at the Tognan wavelength (0.2843 Å).\n", "`anri.io.entries_from_tensormap` turns the phantom into map entries for the renderer, and `anri.io.simulate_sparse` renders every dty row into an ImageD11 sparse file, rounded to integer counts.\n", "`write_pars` and `write_dataset` complete an ImageD11 dataset." ] }, { "cell_type": "code", "execution_count": 3, "id": "9336e7b4", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:50:13.758205Z", "iopub.status.busy": "2026-10-05T06:50:13.757969Z", "iopub.status.idle": "2026-10-05T06:51:10.198280Z", "shell.execute_reply": "2026-10-05T06:51:10.197713Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7845 entries, 112 hkls in 8 rings, 61 rows x 1800 frames\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "rendered 2.4M pixels in 55 s -> /tmp/tmpjnbbde2j/phantom/phantom_am316l/phantom_am316l_dataset.h5\n" ] } ], "source": [ "wl = 0.2843\n", "pars = {\n", " \"y_center\": 1023.5, \"y_size\": 75.0, \"tilt_y\": 1e-3, \"z_center\": 1023.5, \"z_size\": 75.0, \"tilt_z\": -2e-3,\n", " \"tilt_x\": 0.0, \"distance\": 150e3, \"o11\": -1, \"o12\": 0, \"o21\": 0, \"o22\": -1, \"wavelength\": wl, \"wedge\": 0.0,\n", " \"chi\": 0.0, \"omegasign\": 1.0, \"t_x\": 0.0, \"t_y\": 0.0, \"t_z\": 0.0,\n", "}\n", "y0 = 0.3 # the rotation axis is a little off the middle row\n", "geom = anri.io.geom_from_pars(pars, y0, wl * 2e-4 / 2.355, 5e-5, 5e-5, sig_beam=1.4 / 2.355, voxel_size=0.5, sig_psf=0.5)\n", "\n", "entries = anri.io.entries_from_tensormap(truth)\n", "entries[\"density\"] = np.full(len(entries[\"pos\"]), 30.0) # counts scale\n", "rings8 = ix.ring_table(lpars, 225, wl, 8) # every allowed reflection up to the 8th ring\n", "omega, dty = anri.io.motor_grid((0.0, 180.0), 0.1, (y0 - 30.0, y0 + 30.0), 1.0)\n", "print(f\"{len(entries['pos'])} entries, {len(rings8['hkls'])} hkls in 8 rings, {omega.shape[0]} rows x {omega.shape[1]} frames\")\n", "\n", "tmp = tempfile.mkdtemp()\n", "sparse = os.path.join(tmp, \"phantom_sparse.h5\")\n", "t0 = time.time()\n", "stats = anri.io.simulate_sparse(sparse, entries, rings8[\"hkls\"], np.ones(len(rings8[\"hkls\"])), geom, omega, dty, (2048, 2048))\n", "cell = {\"cell__a\": a, \"cell__b\": a, \"cell__c\": a, \"cell_alpha\": 90.0, \"cell_beta\": 90.0, \"cell_gamma\": 90.0,\n", " \"cell_lattice_[P,A,B,C,I,F,R]\": 225}\n", "parfile = anri.io.write_pars(os.path.join(tmp, \"pars\"), pars, {\"316L\": cell})\n", "dsfile = anri.io.write_dataset(sparse, tmp, \"phantom\", \"am316l\", y0=y0, parfile=parfile)\n", "print(f\"rendered {stats['n_pixels'].sum() / 1e6:.1f}M pixels in {time.time() - t0:.0f} s -> {dsfile}\")" ] }, { "cell_type": "markdown", "id": "c890e958", "metadata": {}, "source": [ "What the detector sees in the middle row, all 1800 frames summed (binned 4 x 4 so that the spots show)." ] }, { "cell_type": "code", "execution_count": 4, "id": "a399add2", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:51:10.199785Z", "iopub.status.busy": "2026-10-05T06:51:10.199676Z", "iopub.status.idle": "2026-10-05T06:51:10.316730Z", "shell.execute_reply": "2026-10-05T06:51:10.316134Z" } }, "outputs": [ { "data": { "image/png": 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RYz7++GM++uijmMcsxJcliaxIGIWFhTz//PN89NFHjBkzhmXLljF79my++c1vdrntlpqayvvvv4/FYmHMmDGceuqpnH322YwZM4ZvfOMbnW6dfv/73+eBBx5gyZIlLF++nL/97W99ukZaWhrvvfceBoOB8ePHs3DhwqOJz+cnL/XUTn5+Pq+88gqHDx9m9OjRLFu2jNGjRx+tKzt+/PhePT+fHd/dBJKB1pfXpi/Hdqcvr21f3HLLLfz85z/n+9//PtOnT2fx4sXMmjWLyZMndyq3BRydxBUIBDolrGeddRaBQICkpKQuvfOflS37rI5wT/7617/i8XgYO3Ys55xzDhMmTGD+/Pld6oDGWizjuvDCC3n66ad58MEHKSkpYdmyZSxYsOBo+bPk5GQsFgvbt2+ntLSUU045hQsuuIBRo0ZRX1/fKUH7ot6eN3HiRH7yk5/wv//7v8ybN48FCxbw61//usskw8GkN88bwDe/+U2++93vcv311zN79mwWLlzIj3/8Y370ox/F+REI0XeK3pt7eUIMIj6fj3Xr1qFpGvPmzSMlJYWXX36ZESNGdLr9+5nKykr27t2L0Whk7NixjBw5sssxhw4dYv/+/QSDQUpLSznppJP6fA2Affv2ceTIEbKyspg+fXqXHsZjtROJRNi6devRBRFmz57dKbHz+/289tprzJw5s9uJGqNHj2b69Om88MILPT53PV0jGAzyyiuvMGPGjE63+0OhEC+//DLTpk07OukpGo2ycuVKpk6d2iXJ7str05tjj9UW9P516e1zCNDe3s7mzZsJBAKMGzeuxy8Sr7zyCuFwmK985Stdrp+RkcHixYs7Hb9+/XpOOeUUVqxY0emc7vh8PrZu3YrH42HWrFnk5OSwYcMGOjo6OPvss4FPJrZt3bqV88477+j7rLtt3XG5XLz99tvMmTOHkpKSo9sPHDjArl27uOiiizCZTCcUV0/XOHjwIDt37uTCCy/s9L4+fPgw27dv54ILLjg6DvkzkUiEHTt2UFtbS3Z2NhMnTuwy7tjj8bBr1y7a29spKipi6tSpXcaad6e355WVlbFnzx6KioqYOXMmdXV1rFu3jsWLFx+t8NEfjznWzxt88vOza9cucnJymDNnDo2NjXz00UecccYZx+zVFmIwkURWiCGgoqKC0aNHs2vXLiZNmhTvcEQ3fvnLX/Lyyy93Ow5XCCHEiZFEVoghoL6+nr1793Za0lYMLhs3biQjI6PbEl9CCCFOjCSyQgghhBAiIclkLyGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJqVdL1GqaRl1dHcnJyb2qzyeEEEIIIcSJ0HUdt9tNQUEBqnrsPtdeJbJ1dXWMGDGiX4ITQgghhBDieKqrqykqKjrmMb0aWnCiSz4KIYQQQghxInqTf/YqkZXhBEIIIYQQIpZ6k3/KZC8hhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBBCCJGQJJEVQgghhBAJSRJZIYQQQgiRkCSRFUIIIYQQCUkSWSGEEEIIkZAkkRVCCCGEEAlJElkhhBiGUq1mLEb5CBBCJDb5LSaEEMPQ1h9cws3zJsQ7DCGE+FIkkRVCiGGoZYcJf6OB0fZMHp11JS+c8hVOyyqKd1hCCNEnxngHIIQQIvae2LufXW0t+KIhdjrrsfnDtIUC8Q5LCCH6RNF1XT/eQS6Xi9TU1FjEI4QQg1aaMRlbqhGjEfCHIMkK0Sg+f5BWl79X10gxJhPRQDVBeqoKBgO6LwyKAnYTvuYIrogHs6qSbDTTGPQO7IMSQohByul0kpKScsxjpEdWCCF6QUHh5+Nu5dwfj2bUmBDR1zZjvHkJSn0DT760get+80KvrnNb8Tcp90H2GJ0//7809PxcfM/uAZsFw6UzeeKSffz64MOckpXKraNmseCDxwb4kQkhROKSRFYIMSBG24u4qfhiTi+tx+u18E59Nb85tCbeYX0pu9oVTn5/P4atUV7/sJhlZTvZ22pjdWXvr/FA1YOEdRgXKuLF/7uUqdn72FRhJTlX43TjR2xqSsMT1rFYIqSk9q6XVwghhitJZIUQX5pBdVBgT+Xa0jzso8z4GnTS/CksyFEZm5rEo/WVfNxeG+8wvxQdnY3O1YQ2hLCbNPZVJ7Oz3Uej30KZt7XX12mPdABQ6db5x853yLcHqPZasDRofNjmZ31HEu6ok82tPv6yb9cAPZr4yTJPQlOieKLNhCJt8Q5HCJHgZIysEOKEKKjY1AwK7RoRJZvSpHyePGUUjpPsHNztpKXWh9UaRjXo3PnxRjY0N8U7ZDEILMj8CiYDOLUygtFK0KHR76clKBPNhBCdyRhZIUS/Uj79rw5Y1CRmJF/Nn+b42dqUxGGXBa+3jSOvW/jlwa282bQnnqGKQeraQiuzM7JJteWQkTmVaFjlVzu38cd9O+MdmhAiAUmPrBCiV9JMZlYv+wrBgJlIRKXW7+OqTa+QZIKIphDVwGbU0XQFbyRISI/GO2QxCCUbLZgUFZPBRmnaUu4al040YmRTWxs/2f8kDmspwXArkagr3qEKIeJMemSFEF/at0+eSK4xh6b6VAyhTF5qaKHK20izr4aw7qc99O9jfaGer/N5VxXMZ0K2lezcIKYJ6Wx6S2V97X52ew4NzIMQ/Wa0fQzTkyeRZ40ytqidSNCAy22mxmvjqbq3CGrhY57vjgQBUMJhAm2b+O0BCwaMtIY+efPMccxmtCNMgcNNdpoXxQB/33eAna3tA/7YhBCJRxJZIcQx5SfZKDKlEmpJ4cOGJl6ur+GIuwpvqG+Tt9KMdkrsWSRZQlw6ZgxTspPJyAgRHJNP3Uf12Ax9mPov4samWskwZ5BnibAwJ59UVSUcNlIRSqbBsQdfyE8kqODxGNjpqkWn+5t+OhGcoTLeaOy83YpKlsnO2CQHs/Mc5CUH2N0Ups1bRU2gOQaPUAiRSGRogRCiXxkV9ehYWoCwrgFwWsYEfjLufKYWNZFUFMXZbqHqSDLb2lP45aF7aQrJDPZE873SO7hgUpSTxjsxFVhAVVDcEVz1JnbuSOGSTX8loEXQdB2th4S2J6W2Em4tuY7l42rY35LOG3UV/LXik1q9hk/fY4oCug6RT99jQoihpTdDCySRFUL0GwV4bf7XKE5VMBuj+MM6c1c9SUCLoqJgVo2oio6ifpKA6JpCFAhr4T6mOWIwMCkmDKqOQeXoTMBbS85lQfoUIlGFEUltHHY5eLf5EP+sealP11ZQMClGjOon466jukb403HXd0+6nEXFaeRnedh7OJuv73icKr98ERJiqJExskKIAaNgwGrO51vF09jQdoidrhbOzDybkekGIhErmxvbebhyDSHtk94yDZ3AZ+MnZR7YkBDWw4SjdHo9X6jdyOqm/ehAkimCN2KgKeg5uj/FOoZsYxHFhhzmZOn8veoN2sOeLtfW0QnpYULdvFceq15HyFrCbfmjmDbFy335J7G12sLGSp3Xml/r/wcqhBi0JJEVYohTFBN2o50z89P4oL4OV/jYk3GOZ3rKSHLTTKSk6ViUHE6xjqHS18JOVzNRPcoHLWW4/VZ2t3fwblNVPz0KkSjKfY2U03iMI3R0PYrZoHB2wQierDXiMGSTY86iNahQHTyAdpxvOrvcNWTVRylMMWBO1dEjkGPOZ1JyGm+1JbOkIJUmj40aT5imcEW/Pj4hxOAiiawQQ5CCisNoAMBgSCPPMYL7TpnKkjdexuXs++xvBRWDYiSiR7i6cDGLp6cwfrKbgNPL2vUqvoiGM9LBS03/4iVZ90AcgytwBBdH8Gt2ClMvxWiIclLyTE7PWMD6lggrW/5MQPMe9zrv19fzfn390X+fna1xcvp0rOZ8/jB/FuurcnmpzMUHzieIRBSCWoSojKUVYsiRMbJCDDFGQxKZ9mLWnDYPq1nniNPB6ppMNrUEWe16GHe07zO/R1mnMiflHF53v8wp1jMptGaiGlw8UncPug6a3tPcdCF6ZlAUorrOFPvpFFmnsS6wCrfvIPoJjD1RUFD4ZAjLyjm3ctIMyB7hRwtrbHg/h1/sfZXVbQf6/TEIIQaOTPYSYpj5r+kzmJdZTDiQxKLRRh7ekcLqhhp2urbgCuu4ow1EifT5ulbVTpIhg/ZoK8lqGmbFCEqUplDdADwKMdzY1VTMqh231kFU83/p601IyiPJASWpWVyZfz4zU9v5x/4wb9RWss37bj9ELISIBZnsJcQQZ1Bt5NqSWZaXAYrOeMc49EgmVX4/jxzZxxv1dvZ1NNIQrj7mNRTFSCTq7vGYgOYjoPkA6OiHREOIz/NpTnyas9+ut9/TAB4obwticO/kUG47+9wOPFpHv7UhhBgcpEdWiASVanSQZMlhRmY+v5kxGk0P8mF1FhtaNNa5qih3vQE93PBXUUgyJmE3RbEYs4hiocYtq2oJIYQYPKRHVogh7Jfjv86UNCONkQ6WrS6nzvkBut67sYUZ5nR+PPrbXDG9EmNEYVNDGxd9JImsEEKIxCKJrBAJJseczg9GX8mfK54nqPmI6FGaQuFeJ7EAZlVnSoqf/1xv5pBnK7W+fQMYsRCxYVaTGeM4h4OeV4jofRsCM8qxlBkpBRRZwvy54skBilAI0d8kkRUiwfi1IBva91DtbyKghY57fJYpnyJrKdvd645u80T8PFO3hrWtIZqCVXijXQvSC5FoTJgoNBVxztQpmNQgzT6VtyvN1AS3HLcSgitcQ1UggqqmcHXhAl5s+BhvNBijyIUQJ0oSWSEGIauaRp5DJxJV6QgoeLR/L7/pjvh4oWF1r6+Vakyn1Dq+UyLrigR4pHrdMc4SIhFpmHQ/5xQXMtJhpd6VxOGmJOqC24keJ5FtCe3FGa2lOVLEf448hTeatksiK0QCkMleQgwyBsXMtNTruXdRiCaXnQe3m3m9/Z54hyVEQvn+6MUsSD+J56osPNd8N2FdklIhEo3UkRUiwZyZO4LfTF9IMJiGiomX6vfzx0NrCOrHX+lICPFvDoMZs2oiEFXwazJ0RohEJFULhEgAKgpXFpyFJ2Ii25zCxoZsPmp7j2BU4Yi3tcck1mLKJt9YQrEli4kpGv+ofo+w3vfFDoQYirzREN7o8ceQCyESmySyQsSdQpEtB2fIjDOs8GpNC2+27aKnRV9tRgMzcjOwmYooUcdRYMghydCCqig9lY0dMhwGG3mWLJKMUcr8bjyRALoejndYYggY68jGHQnSEHTFOxQhRB/I0AIhEoSKgqLAxMxUNt94PmEPhHywrraZC1a9Fe/wBpRB+eSxT0+ewC3Fl3FShptv79vAlvYyguHGeIcnhoDHZ13HhvZy/lbxEbquoKHFOyQhhj0ZWiDEEPLfY29i4Qgj47JdOCtM/GpTHh+2vstB39Z4hzagTKrC/psvITXbStBtoX1vG66ABW+ghmC4Kd7hiSFi3Mx2zrMVc0fTV3l7zwh+fvA+2sPSOyvEYCc9skLEwOyks1k0Cqbn+XA1m/nPXatxR3o7fk/Fas7nngkX0RCpYotnF3pUYU+blaZgIx6tfUBjjzcFOH90EWargUhYJeBUCUUNbO2oxhnpW9F7IXpyZmk+kxxTGWOcSqnJTIO+g2erd/NuY1W8QxNi2JIeWSHizKgYKbaO5uySUs4aqVOa5uSN1rbjn/gFCrDPU84OZznvt1b2f6CDmA68cqQm3mGIIe7d8noOmFOZnJTGguwwOclRJqelYzLqBINGqn1mGoL1eKLSSyvEYCI9skIMAAUDBkUlzZjKtQXf4tZFR3BoUXbWOTn3vde6PcegGDEqCgZVwxfp/XKzQoiB8bOZM7lx9BQ62tJ5vjqN1xpfYa9nJ0Gt9z+fJkXFoKqEoqAhVUWE6AupIytEnIxPuogFGSWcmZlEiknntl0PUh9sR9d1Ij38yF2ccyXnlRSweGw1455+nujxfzSFEAPIoCiMtBXyH6Nu4upLavBWwpv7arnp4zd7fY0fT5rFOQXT+O7HRna5niCiBwYwYiGGFhlaIESMJZuMPHP26TgUO/saI7xa4WGX70UaAk7CevezoI2qwsrLzyA3bMTvDrFqfxGSwwoRf1FdpybQxB/LHuHpx4Jckz2PUMjWp2sYjQqjs+H+K6KsXX8pT1WtZ4uzbIAiFmL4kURWiH5SZE1lYfZIpjuK+aCpnG3tdWx2KhwM9DxZJM9u49yRRWQxjoMdFRxormF7g32ol4MVImEEtRCHfZUcroS0wBHsBlOfzt/e1syKyoNYs2F2xmzebbKBc4CCFWIYkkRWiH4yLimbG0bM5UC1zv/t2MUBT8txzxmZksRP5kzn8fUOnqo5xCHfkRhEKoQ4Ea827ur7OTVVvFpThQK8cVoRqipDC4ToTzJGVog4UxjyC3IJIYQQfdabMbJqjGIRYkiZbD+dmY5z++VaksQKIYQQJ0aGFgjRR7eMnUSRoYgab4ht3mMfa1MtnJ0zG5OisctdxT5PbWyC/BKspmzMagoGxUR74ACSagvRNw6DhYvzZrKxPUpjsBp3tCHeIQkxZEkiK0QvpBhtpJis2CxRvjl2Nk6vkfcaGo95TrLRwmhHNjePWkBbIIxPiwzaRFZBxajaSTaYybSPJsWcj1mxsCFwEF0SWTGIJKnp+DT3oK7J6jBY+WrhIsxqgJ2urZT7/LSFezfDK8OUQliP4I74BjhKIYYGSWSF6IVL80/hutEzmTO5nqfXlvD3ipfY1LHzmOdckDeJ/5ywgJLSWs5+o5ldHc0xirbvLIY0RqYsZXnmOIpskGHSsBgCLG9WCEseKwYJo2Jmafo3+dD5OK2R6niH06OApvB+k507p7VT75nN+3WT+L9DD/Tq3NtKllPhr+eJ2jcGOEohhgZJZIU4jpuKbuLSqSYmFrRxYH8mvzzwAPWB9uOe1x40sbpR4a71L9AU0AhHwzGItm8enH4VI5MsWIw6wXAKezoUnqx9g73u/SiKTliXFcbE4KHr4IqEuGfGUrY6d/OHQxvjHVK33BEnD1T/gScbosxLW0ieuaTX5/69fi2hqPTGCtFbksgK0YMMi4UfTp9KaiCDTXUHebnmEO2tFuqDrYR6keDt9VThrQ1R4x28H0qFNjv+cBq7OjxscX5Enc/Cfs8RWsOynrwYfDQiHPC/x/O1URqCxy9vFy86Ou6oE3cUNnfsJtVY0+tzWwN16PIFUohek0RWiC+wqulk2w1MzbTzlZIZvLm/lXeqjvBR294+XafS30Clf3BP8jjia6TWG2Zjm5MP2rfFOxwhjklHozq0ler6eEfSe9WBKqrpeVGUL4pE3QMYjRBDj9SRFaIThYnJl3LT1GSuGK/z0JqR3FPxJzoiHfEOTAgxxKgKoCvovZxSqaAAyARMMWz0po6s9MgK8SmDYmFyypUsyyxgW20zDxw4QHX7MwS1YLxDE0IMMWZVZc8NF7HzUCGvV1TxcPXLPR9rzCTfNpJrc88i26zxr/q3WNu+I4bRCjF4SSIrBJBvLmFK0skU2/NY176ammADjWEnAa3rcpLXFp5HVLfQEdKp9oXY7XsDHS0OUQshElVE1/jxmq1cmGanyH7s3x+RqIdotI0ci5XTT2oho3ICY8vsPFK9PkbRCjF4SSIrhr3xSflMcoxlsmMcZf5K9rj30hHpWpXAYTAzLaWQi0aOpsaZwt6OIA3+Mvj0dp8QQvSWpsOKQ5XklOYR0o49uUvTg/jCbRzyHqI0EmFMejKO4lKqwpV82FhP9PgjBIUYsmSMrBjWzIqRX064jCnJI2gJebh++33djj4zKCqTkvJ5cMaVlI6p57ldWbxS1szbbU/HPGYhxPCVm3IqP52WzaXFDrSwgWkvPUd7KIAm42bFENSbMbKSyIphy6waeXTGd1jXZOVj5y62eF7rsW7qtYVncFnBbIocQc5e/xBtoSCarqPJkAIhREwpGBWF6alF3D3pSqwGP/+59zU+bC2Ld2BC9DtJZIU4BgWFqckltIcUnBE3rmjPdSknpsyh2FFMR2ATWzpqiejxT2AvzVtOTShAmb+WZr+UzhJiKLKa84hEfUSinWs7JxksjE/Kx6hqHPQ00x72xylCIQaOVC0Q4gtyTRNwRuoI6C50dHa6K3p1Xk2gkaaQn9bA4FkWU1Uz0GgkqktVBSGGGgMmCi0TmJGVzmFPFXudnRNZTzTIFmdFp20KKlmmcXREKgnrktiK4UGNdwBCxIJBUUg32ZhkW0aqseCYxxqxoH7hO547VEVrYPdAhthnH3uqOODZSVugbws1CCEGP5NiYbr9LL4+YgJz09J7dY6KgenJZ5FuzMeomAY4QiEGBxlaIIaF6am5PDnnUv5vexofuV6kNtRz8ndy0nW0RSo4HFgdwwiFEOKLFJQ+LH9gU028MvcO3qm3s7ptO+tcrw5odEIMNBkjKwTwjdHTODN7KvtbR/LXisdpjzQR1jvXhx1tG8+ijNM5NdvHfmcha9s2s875TpwiFkLE228nfYWxmSo+PcqjuzN53/k44UEwjOecjGvY59tCRWBfl30KCmMc2Xyj5FwKrcnUB+v5jz3PxyFKIfpHbxJZGVoghjxnMI1DThtvN2+iNVLXJYldkDGBc3MnclpWBlNSsqkN7qMh1Pu10YUQQ89uVx3OoIk8YzGnZ2dhVAZHvehMcy7njxvD9dOnMd42FxXD0X06Ooe8Taxp28ERbxM55hKuLJhNqtEWx4iFGFgy2UsMeRubI+xpa2aXb1Wn7QqQa0nh8pEnMTW5ADUSpDnUzvqONZT72+ITrBBiUHisZgMdYSNnZWdSmtyKQRkcdVq9USdXj81nRFoBf2rKpD1aTnu4nbAePnrMSw3bqPKFuTgvj6/kz2Rt2xGcEZn8JYYmGVoghi2LauTNed9i+hlBKtos/OstM78u+228wxJCiGP6xaRFfCV/Gk0+G1va7Txa8yx7PF2HGgiR6KT8lhA9sBtzKEmeS6Y9xE1Pvsumtga8vsFx61CIWCq05nHziCuI6GAz6Bz2lvNIzSvxDmtQM2DgoqxvsNb5Ko3h2A9D+tOhjbxZ38Q1hZdxXmkDabYzeadhNP+ql8ldYviRRFYMSxkmO/NSivnLkfVsbKijLuCJd0hCxIU74mFt+xYWpJ/OjCI/s+0pjB07C0NBEu37NXbWOnm3pZ5QpOcFQ4YbVVFYkJ3EyaPG0xHKo7bFxOM1a2PWfns4wF53LSvq3+VA1MpU6xhGOcwxa1+IwUQSWTEsWRSNNDXAn8u3E5VlZsUw5op4eLdlLfnmsYxV3YxO87Eku4DUSeOJRiK8H23miN/CQacksv+mYzbWcc7IAsz6KPaaLaxpLaMu0ExIj8QkAmfExXuta9ngKebWEWZUPUqqIRdN1/Fp7UQJH/8iQgwBMkZWCCFEJypG5qZ8g++NV8kxm9jVofDtPb/vdT3T4eKv0y7mlIxidBT2dKTwswMPUeGvj0ssBeZxzEu+DFckxBbvM7RHBs8qhEKcKKkjK4QQ4oQYFSs2A6goRHXwRGXW+xclGcwYVQNGxcJ0x/Vscj2NO9oUl1hUDKQYHaxa+FV0wqys3cddB9bFJRYh+osksmLYK7LNZ2mBiRKHyofVqazueJ2ILrfchOhPxSkOfnbadAylafjLguwv8/JYpZMO/34YBv24CgayTONoj5QT+UKd6lgyKgrn54/lgtzT8EeMrG2t5Om6N+MWjxBfllQtEMPe5KQJTE+1kWcNs9kQvw+Y4SjFaGFicjaqAgaDRkvQx35XR7zDEgPAbFApTLYzvngqVs3NIc1JrdZGq8fJztZW2oLxXxFrIOlEaQ7Hv/xVRNd5se4gVkYyO62U8/LHUxvdwZ4ODVfYQ1jzxjtEIfqd9MiKIe3uiXdQ501ia0ctH7oei1m7RkX9dJV0iOjRmLU7GKgYMBhgXkYR90+7EIMaxWIL8Hr9Yb718ep4hyeOUjAqCgoQ1r/8hEcF+N9x/8GZo7yMznKjmnXQ4Kp3PuSdmrovfX3RN5ePGM//m7qA1KQoN20MsrF5F02+3fEOS4g+kaEFYtgzKUZ0FDRdQyN2CeU9k79KrqWQQ14fPz1wb8zaHQwuzvwO37xUZ/4oH8E9IX75YQmvt/yLysAhQppUiBgscpPn890x+YyxB7ls7Wv9ck2TYsSg8slXuE/LMgejGtrxP2ZEPzMoCnmWZF44+SayM1zcd2grv9uzLd5hCdEnMrRADDsL0s5jQb6RnORG/mPTBsIxKoXzmSSzkSeuOp1pmVbe2ruXJ9fsiWn7g8EG98s0vAVp9ihRV5SDrTYaQ3WSxA4yHf791LsySIqm9ds1w3qE8PC6ATFoRXWdpqCX7+16kcXZSyk0z+Q3k0pY2+zg7daVBDRfvEMUol9IIiuGBKNiZGryeJbmFZPtcNIaiW0CCzAiycHi4nyWFRfwQUMd61qPsN9bEfM44q0hVE5D5Ze7xtLcEmwmFR0Ff9DAey2HiUqvXr8KRtrZ2VFNk//Yi4EU2ZKZlppDrdfGQe9h/JqMNT9RCzPHoGCiLeRjl/tL/pD0QliPsq69nHCkjHPzijklcyzRiI3tntE0BqsIas4u56goTE+ZiEFRaA11UO6vHfA4hfgyJJEVCe+TsjOp3DhiOacU1fNYxT7uORD7W2gn5+Xw+1Pn01bn58cvbWRHS3vMY0hUBsyYVQWTqqOj8OsZp5HrsBCMQkWLykdtFfijUm2iv33QuvO4x8xOz+cXk5fwRlUuD1X/g6pALSHtky+KCgZ0dJBFRY5LAe4oXYhdzWCnq4FfHa7HHQnFpO2P3avIsc2n2HYaE1LCTElZgOJeT31gLyGtcwwGxcAVBeeTYTaz1bmHx2pexxcd2pP1RGKTMbIi4ZVaZrIg9RxuHBPhv8r2sadjL87AkZjHMckxlSVZ53Jf1d1E+mHyzHAyL+lGrhrp4KyCCM0eO1PHN7OtKpM3y9v5fdmjaMOghNNgNco6ndNSLyLXbmB+ppc3mzfyQOWHAOSmnII3WIMnWBXnKBODisK3Ss/n/LyJ5Dramff+P/FHY3P3SAFSDFmcl/FNvj+tlTK3g/ca2ri/6uEuR6bYx/PQzKmMs+Wyp1Xhmm1/kZ9AERcy2UsMC0XmGUywLaQ2+hzVQT/+iJ+oHvseBKtqI9WYTmNIZmj3xKiYOSv9Gi4f1066SaPaGeGOna+RpGaTZTGQatYJR1VstjC+oJGOYIT6oCyNGk8WxU6yMR2TqpBs1OgIu/FH4aqCK7l8kQe7I4Dbq7FjSxrP1QY57NtAe6Qi3mEPWrmWNNJNNsyGKLudTTHty1Yxkm7M5XdTLmXKCI1GnNz2QR3V7g/R+XdCrapWzso8l2X5+ZxVEOGePRorG16gNdwaw2iFkMleYggzoDI//SSKU/x0hIwcaNvGkWB8lob8TEDzEwjJ6kc9GWlP5YzcUZw+IY2FuQruDhO1HZ/s82jNePzAZ0/fsYdtihgK6j6C4U8mBtV/+v3QrtqoCdSyqbaN0rQicg0jWJinYskP8fheC5sb+jcGg+oAIDoE6qA2BjtoDHYc/ffJaWOwKKmUeSPUhnYMaNsaEVojtbzasIMOUxH5qQ6un5DNM7tnUhs8jE/7ZDiUpgXY4TyCYnDiN5ipDSiEZSEZMUhJIisGFbvBgk01o6HQEXZ/Ov6uM6vBQL41mauLljI5t4G3G3fxev2aOEQr+mKUI50bR02haHYdmjfC3uYkPmwyxTsscQJ8mp/Xm1/n9fdhVvJpnJ6dx9XjGzl/is7q5uDRRLbAbieqqfgjEVyRE58kZjImowPRUOInsl90asZ4ckyj2dgKrW3lBDUP+gD3065o+JBD7tNZkj+FO0+1Ult3Ou+0uKkK/ntcf0NoB+80J7O6IwtfoJw0o4N0UwoRTcMdlW+aYvCQoQViUPlq4UKW559Ge8jA9/b+AVek6y/McwuL+ecpZxIMGLl+y07Wt1QSCPVzF5AQ4kuxqCqV115OfX02KyvK+d+Dr8Y7pEHrnLzR/HryMn6wxcEm95M4o7EZnjTaXsjPx93I3NwW/mPn27xW3/Pcgj9PvpEkQyG73S7+UH5PTOITQoYWiITyX2OuZMnoJGzJR/jhqiN4u5kpe1XBOVw0uhhzjp9/vFtIRUcLwVBzHKIVX5RpyuainCt5qv7vBKRE07AX0jROXfkaV+ZeTEckA7tlJL5gRbzDGpRWN1dx8YZnwTSXALGr71rlb+TOffdhPRihOXjsdnVgaomTGSluPmi+jt3eFwjp0jMr4k8SWRF3RsyUWucyNTULl9fIhtYg1d4yot0sZlBss6GHknh8Z5RXGtbQEmxBj8GKXSNtY0g3ZbPHf4hQuBVkDu9Rp6TNZ1w6jHCYydFT+VeDGu+QxCCgA0dcbt5StqEpBiJRV7xDGrS80TDl3naSLXsJa7EbZx/WIzQEezeB67WmrWArZZZWxBiHgwM+AyH5NSgGAUlkRdyZVAtTHQsI0cKOhgAfNAYIRbr/5erT2tnbmsxLdQF2elcTq4Qyy5RDoW0UB0INhMJtMWs3EYx2jOaULChJ9nOwqWHAx/eJxLLZuTsm7aSZbGSY7KgKlPvaiSZcCTwN9yDosVaAEbYs2sMR/NEgEf2TxPrt5u1oukbYm4VZjYKSaM+vGKpkjKyIu1RjCj8Y9X0eaniNet+RHpNYIYToyddGzOfrI+eTbAqzZO0/aAwOvYlhsWBRjTwz6z/4R30TH3fspcG7Kd4hiWFM6siKQS3TMZ3LR+bz1ZIkbtzgpdK5llDUjfR2CjH8TMhI4c0rz8KYb+POlzfw1MeH+3S+TTUxOS2TV888h0ipn217U3lnj5N7yp8ZoIiHJqtqZM3Cb2AwRnm5fj//s+eDHo81G7MwGGz4g9WxC1AMK71JZGUwm4ibm0ZlclZmHh5POnWenYQ1H59PYlOtY7l69EncPmFy/IIUQsREoy/A/360g483Z9LW7KDAksFtJedyWf4FFFjyjnu+Xwtz0N3GD7esZefeTAyeNOZnZfL7k+dhNRhi8AiGhrAe5VcH3+OQ089Iy2iuKFja47GzUoq5uWg+/ztpEXaDjFQU8SHvPBFzBkVhVlou5+WnQkRjVXUL3lBtl+PmZI7kvIJsLIqTe/fviUOkQohYaQ+E+MfOw0RaG6l0+smyOLikcAqtFgO2xkY+bvazr9l5zGu4wiEeLzuIIzqDAquLTFuQMVkpqIoSo0eR+KK6zsq6fWQbC5iaMpYzMmdQEdjFLmczvi8sp+tQVUZaHZxTMJkXauo47K3DE5UhHSK2ZGiBiLlko5ltZ92AyRzm0fK9/Gznxi7HGBQD68/8KhY9hfUtDdy6Y0UcIh1eDKgoCkR1TQZ3iLibk57PE/MuoGhhGCWssXJXBVc/92G8wxpWTsuYyh2l53FyXhsXfrSS3c4WvvjbYUJSNo+fdCXrWzJ4rOYlNjt3IMPDRH+RMbJiUEoxmThw8Ve5/MO32djSSEjrPPs1z5LNnaNvZlKKxoOV7/Ba4w6CWtdSXKL/FFnz+WbJ15iX6eJXB9/i3ZZD8Q5JDHMqCjaDEcUIGfYpRKJR6lw74x3WsGJAJc/mYOfyi9lekcZj5dt4tOajTscYVStZjjH8Y/JiHquvZVXLYVq9A7vUrhg+ZEEEMSj5IhG+tvY9dnW0dkliP6EQ1Sz89tAL7PFUShI7wC7Km8yFpRM4dXoHSiXY5LeCGAQ0dLzRMEQhGOm84tQvz53NWEcKzfV+vvXR+jhFOPRF0WgOern2gw+YY7uQlqClyzERLUSLr5J7a8o5c4yZk0pLuW9TNhW+96QUn4gJ+cgSMRfRdd6s63mWqz8aZLtrH+vaD8oKUQMs3zSayUnjGWXPYad7H+2tRhqD7niHJUQn4S8splBsLWFqUi6tKS5AEtmBFNI0Xq+uxpdxmOZQSzdHaESibta1HWGZPoHpqTksy8/goTKFiIwwEDEgiayICYtqJqxF0HrxDd0ZcfJk3bMxiCpxqZjQCPf5PJNiQkdB0zU0IsxMWoqFJNZU1/Ozd98fgEiF6H9vrndQk5KC9dNiBDbVhKqAjt5lQpLoHx+0vXXM/e2+vWw9UkpBQRI/mNjOc9VmOkIBojJeVgwwGSMrBpxRMfC7iT/koeoV7HbL2Msvy6qmMTF5ObtdTxHW+7Yu+9cKb8Wj2dnjqWGv+18oqHwyn1vvMolDiMFK+fQPgIbGkyddy/QsO81aI2esejG+wQ1jKgqz00Zy96Tl2E0BvrPrZda1VcY7LJHAZIysiLuxjjxuLVlCiV3BqnZNlIrMExhvm0tEh02elfg1WY/9WK6bMpqvjptEc0USd+xS6Ohlp2y6xcyz5y+iKC/EpsM2wtsy2OuW9FUkJv3TP5/5vwNvsaT9JEY5ik74mv9v0plYlBz2uXWeblyHP1iLTrQ/wh02NHT2uuv43p5n+fPUi7mjdBGTkg7yUNWGeIcmhjBJZMWAmZ4ygkXZo1lYmMbTR7bTEupaA3JUipUL87No95nZ7Tfil7kB3VAwGVM5KXkEE62lmMM57HLtJtKLSXALMkaRZ7OTZVeYlVTAW41lbGk2UBeQJ7o7ExyTKM0yUJgVRLGoPL3lCJ5g34dw9NX89BJKRuWTPCsLAKWphT2Halm7V1ZM6o39niaMymHKPf4Tvka138kYeyEz0vKw5tay+UguZZ4qmkON/Rjp0OeJBtnhquHV5mqWFmQwUUuCqnhHJYYySWTFgFmaPZWLRozBnFTDfZVvE4h27t1INtqYngEXj25na60Fa63GCQz7HPIUVCymLJZmz8PgSeb5ne3cV/nOcc9LNzn42sg5zMrIwWwMUlbr4+cbtnPY0zHwQQ9iFoNKus0CGmhRBX80gjsSxqLYWZx5OhdPN7NoRhtqqpm399XEJJFdmjOBZYtOpuh701F0DWXbLh5Z8ZEksn2w232oy9AlFRWbwY7dGMUVDhHUeu5h/Vv5Zs7MUrhqZDo/nTuKZyOFvFbzERvbXTgjJ54gD2UOgwmbwYSmK7SHvUf7yKO6zl8qdzIufxxWW5BMs43WkDyHYmDIGFkxYH4w+lxyzCncua/7tc5/N+k65mZkE1VaOH3NozGObmizqiZWzP4uM8a2sqfVwj+3Onim6XcyjAA4d2whK69cTKhFo7XOzlOHD/M/ezeyOOUOvjZaZ+ZYDyNGuAi1wdR/raTKIysVJap88wguz7uJ78yo4Ttb3uWV2vLjnpOkZnB2+m384ZJq/G12Pjjs5hs7n4hBtInnznGncHXRSTR4bVy25S+4vpDw2y0jODdvFD8cNYb57/9DBjKJPpMFEURcKMDzp17AC9XlvNNYRWOw87hXs2LmluKbOSPbxnbXfh6vWUuFryMusQ41FlMOZ0wp4e6vTkVdZedn+99mc1szHX4VZ7Q13uENCsuKinj8jCX85eM83mt6lUPecpqDPhxqJmlmHatZw2TS0KNwxOUirMmHb6IyKkbSTRlsPP8sorNT2NVu4OlHQ6xoeqjHCioqKkmGTPJSwow0ziffMAWz0ccbrh20+PYTiHRXgmp4yjTbmJuVx98XnMHDO6z8q+5ddrsPHN2vKEYWZU7iznFnU3DyIa555gN2N7THMWKRaGSyl4i5dJODC3Jn4GAkrcGyLkksfDLLeK9nL+2RCEd8dZLE9qOo5qeuzckrW1toLG9gQ1M9tQGpC/t5h50ufrttO+/XpnHAV3N0bXiP1oInAEjp4iEjokdoCTXx5/07WZI8D5ueS5EtDJ9WPOiOhoYr2oyrHdqM+5mUBDeWzGRkfi67muzsaatnl3tX7B7EINYa8nPA5WV7UzKLpypsCqew35dC5NO6v7oeocxbz/N1m7g3qZivjZzES9FKVjfXxDlyMZRIIiv6TZrRxuTkAq4fcSoft/po8nc/Hi2iR3iv9YPYBpcAcsxJn44306kOdPTqHFUxYzWYyTEbqfR1EIm62VMd5ZcrQ/gCFQMab6I64nbxu93b4x2GiBEd+NPeXbQ58xiXZCKga59uPb6WSDk1ITdWYx5XFqcxOamUD+35NJfV0hBsG9C4E4UzqPPyEY0fTQ0wPieFfW3ZHOn4dwdGlb+Z5+vW8q3qJC7JH4vLDWtaGtF1mRAh+ocMLRD95taShXy1aC6gccHG+2SCRB/9ccqFLMgYjTMcYtmG+4ge/0eTNNsETs4Yx6/HFnPamgfxRkMxiFSI4UVB4e6JP+T8pSEc9iirXk/iGzvvJqzL4gvwyfPzk9F3cv4YD3Whg1z6/qpuj3th/lfY7Qnx20P78ASOdHuMEJ8nQwtETDnMYVw0c8fu7bgloeo1FZWvj/gW0Wgyz9U7ea39ANFedBg9NP1aihwOqoNulm9bMyRXNDopM4tHFp1ByhWjUAJ+3thwkG/c/2a8wxJDxLKccXxv9Gm4QmZ+uPdfVPq7H0euo/N/h+7nLw05LBqRz69ml6Du1pEys5/Q0flzxX2saV3MtJRpPDB1DHfs/juhLyT63969i8tLi3hp8STOfF0SWdE/1HgHIIaGH02fhmYMcP+R9dR4K9D0f0+kMCgKPxq3gKsKljEzZWYcoxx8FMWEzZzLmXkKezxbeKPxQ8pde+np1qfDlM+4lDn8aOwZnDrBRL0hzDvNbqq9lei9WP430VitKiNH2KldY+eJV46wcsPBeIckhpDWgIV9zgxmlWh8d/wszswe2eOxzoibGmc9ayoP8fONm4hoQ+/n7ctwR93s8eyg3L+D8Sk2FmeeTaYpu9MxDb4G2r1+0iJ5/HziAjLM1jhFK4YS6ZEVX4pRMTDKnsdVJRN46NBeXms40Gm/iplkYyZXl0zitRpoiEFNzkSioGJQLQSoZKd7O7tcDT0em2LIZVzWKE7OH83V6ak0q2Ws7gjxQUs74UhH7IKOIU80zBZXE2+vVXmudjeHvLLcpeg/tf4A7zY1MnVMI+ePLkIzRKkPBGkJGGgJ16N9ocs1qvkod/p42JmoiyQoqKoFTQvS23HCfdEaqaAmGKU9PJkzsmZS7t9Ha7j56P5I1E2Vs53dzT6uKJrOI5W7aAvJ7Erx5UgiK76UdFMSv55wA4q3A7+/69spyZjNpJTzSE4K8W7HO7zfKrNVP0/Tg7gCFVz3ccVxjz3JcTE3n+rgK3N9NK72suSF92kK+gY+yDja0dDO6f98I95hiGNQAFX5pApAb8Z1Dyb14UO82nKIV1+Gjd84n8tTxjDLOoNnKpJ5pvEeXJGOIVX5VFVMJFtLcfkPoQ/Q+N4KH/zxoM5dU9281BSFL5RhfrflALtcdTw7+xZ03YDCQKTUYjiRoQXiS4nqCjUBExeue57HqzqXpEmzjWdhwTQemKNx8dp61rfKN+8vo5IaXv04xM/+bmDaG0/QPMSTWJEY7hh9MluW3UDFDctJt5jjHc4JO/Ofb/Lz93ZjMcNdl5az5cLzuGH0hHiH1a/yLA4emXwuGSbbgLXhjNSwwfkQ9x+wUukxdHtMc8jNBRv/yk0jlrM0e96AxSKGB+mRFV+KJ+LlH9XPUR9oI6R3vg13cV4Gy3LzcPnsVDl34Q93rSkrju303AK+UjyBV45kssO7gzVNB7Aq4IrIZDoxOESiVjRrJrlnZPMQi9i/18yWSicvNHwU79D6xBOK8E7TftwRPz9NWsDIGRG+WTiJ0Qcd/PdbW+IdXr9oD3n545HX+M+JJ9HkS2ZXh5c3mt/r51Z0QrqfDzpe5IqSAjLN4yhzmfhH9ctHe151wBMN8nz9e7SEOvq5fTHcSCIrvpSQHma7a0+X7RnGkUxLyqHQbODdxmo8oUY0vf+n+DoMueRYrORaNDa0D6116ackF7KkYCTnjSrijbII3kgDTdHE+TJgVKwkG/Kxq0bCuoZf8+COJurYQtGTw94O3m2soqbWQrqlmAJrCpWmnsd6D2ZV/ja8TUFmHhrFslGFlCTncHrh0PnS6NdCrG7bz+WjJjKnIJ/8tBAHPNVU+I/0uNLZidGpCe0nioNC6wgKjEW833KA2kAlQf3fd+Z2uQ/3Y5tiuJJEVgyIGY7zsaGyvb2Cnx14ecDaKXWczLKcIs7ICnD+hn8OWDuxoqCgYkRV4Kbi01hUnII/uYE3WgfuORwoSYZspiVdRKk1haagj4rAXvb6X493WKKfvd28k7ebd8J6mJLyVVIUK95wMN5hnbDWsJef7F9Bte9bnDdKQTEPvQmq/3eggV8shPPHZdHYehV/rPgtQa3/h37dc2gLp2f6+MHoYi7O+SpP1T9IQ6i239sRw5sksqLfKcDXSg08XvsB77UM7FKOP52iUx2o4ZqdB45/cALIM43j5ORLmJhm4k9lj3HnvupjLKY5uGWZjZyfl0apI8yvD7/MPr/0vgx1e1zPwBCZvvNg1f08VK0fazXbhNXo3sDuvWcy2TWa68Y0cV+VRnCAqol5IgYqvVaKHTpmmZUjBoCs7CX6VaYpneX5F7LZuZYyXz3tYe/xT/oSpqRmEtCg3OsjqiX2SmJnZy/m1MxSTs6yUeXK4NeH/8ERX+JWebCpVgqt+dgMGhW+JtzRxH59hBhKCq3p5FqSMRsifNxeP2AVJ5INDkY7ivjVxIs45Gni7eadvNa0dUDaEkOPrOwlYs6sWiixlfJ47XP4ogM/q363s/uVeBKLQrF5CqdkFjMzIx2DEmKLczueyMB+CRhofi3AYV95vMMQg5RFNXFq+kTWt+/HryXOONQ0YzKTk0fjjiiU+Q7jibrjHdIJqQ20UxtoH/B23FEv+z1HWNO2g2LrJFKMmT0em24aTarRhqYHqArIHRzRO5LIin4V0TXaQl560dEvAAMqDqODRZnLmJrhxmBw8V6djQcrX0EbArdnhehJstHGt0ovoCHcRK3fSSiq4x+AcZr9rciWw00jLqQhDE/XPM8h72ECCZSIx0NAi3DXobe4Ii+H+pAOGOhufd986yymJY1A11upapBEVvSOJLKiXzWHmvhd+d3xDiNhjHYU84PR13Lp7ApuWXOIN6qq8QVlMoQYHgyKzptLzmNXSzJvVgb5S+X98Q7puAwKJJmi3D6vikn7zuPF8sM8UrMy3mElhGcbHsdszMBhHYk3cKTL/r3u57iiaDHFtjSeTczCFyIOJJEVvfKVvPPwRf282e81B4e3kAa1PgO3v2djQ3Mz/lBTvEMSIibawx6+u/shbAcj5BvnYtZGxDukXjngqeY/9/2TQ4FrWDrBxTUpmSQbb+CvFY+iy12U4wpHnESinh73ByMGJqTl8MHF53DOK2/jj/Z/2UYxtEgiK47JoChcUXASmYaRHPZ17Sk0KRbGWGdzOLCFsD74bwsOFrNT5lIXbsGrR/iw7SMO+920BlvR9aFX6keI7kR1jXJ/E/ih2bifZENLvEPqlYAWotzXwKs1m2mzKBSZcyi1F8U7rIShE0U/Rk3xtW0VpNgUrs0uYF7aqWx37qY90hbDCEWikWIYokdGxUSmKYs7xs3HqJppCHROVE2KhUxTLmdknI5NHbglD4cSo6JSaE3jnJzTKHWMxq2F+aDtHWr8GwloHfEOT4i4aI6UUxb8ON5h9JqGxnrne9y7ey/PHa7BGx34SVPDxYeth3iuejeNrQ7OzVlIvjUr3iGJQU56ZEWPCi0lLM+7mkmTjnC45iD7Qp1XzhplnckZGWdyx6QOXmmL4pLqSsdVYsvk4Rk3kGULsNdXQyBUF++QhBAnKBCqZ11LPeta1sQ7lCGlyW/mX2XZ3Dq5llXtAfb2PBJBCOmRFT0rtIe5qrSNDTsKqG9pI/iF8ZuZFpXSJCO1niQimryVjueMzFO5Y8yVTBrVxFVbnuaNxkPxDkkIIeLGZinGZEzrsr0uWMNDNX/GkuHhZ1PO5M4xi2MfnEgY0iMrurUgfQpLssdgMUR4YN9qKr3N6J8rl3JDyXROyc+lKLWO+3ZsxxWR7thjuSB3AbNSxmNB4X+2beKwu33QTWJQgJ/Nm44SsLC/1cUz1fvjHZIQYgiLRJwoqgmzMYPQ58bBRvUIbeE2/mfzFs5MOpkUoyOOUYrBThJZ0a3ZaaM5KXU8NV4vrzR+TPgLg/PPzxvHtLwM6tV2XmgYmLFt+ZZcXBE33hgsrDDQRtkLsBrgkKeK+8r2xTucThxqCqlmOwWpYW6bO4nKyih6OHFXFBNDn0PNIKpHCOiueIcivoRw1EmGsZgMazZ2RWGvs43IpzXINR0e2HOQvHFTMKsOCq151AakJpfoShJZ0YUCZFpCBKIaKyuSiX6hoowK6LrC7roUPmgcmEleqqJw84hrebvlfTZ2bBmQNmJB+XSh9nvK/xXnSLqnAtOTT+HcETP43uk1mCYm8+317/DsHhn2IAavKfZz8WrN7PW/Bboii4cMMBXQUQakvNhk+1jOz5vLdZPrmf7qszQFOndc1PpNTE0ez7dHlvKf+3+DhtbvMYjEJoms6ERF4ZX511Joc7C54yDPN7+N9rkhBakmC++dfgU2HDxRtYkHqzf2ewzjUlN4+4JlWLRmKja52djR703ExLLsmVxRcAYVPhN/rXiAtnBHvEPqYv3V5zIyNY1AoIX3NxfwzcceoNGXmEtuiuEjyWDkq1PGcfG0VKr2p3Lt5ueo8HXEO6whKc1k4YPFl7OpIYuX67fyatOH/Xr99R2r8Rr3cHvOEn467jYeq3ybj507j+5/vHYl5xeW8qtZp/CPxouodH1IICrluMS/yQwdcZRJdZCfNJcJkw287tnF3ys2E9L/PfbVoNqwmvOx6Mn85fDHvFi3l0A/LylZaJ7AzLQl5BbZePSAjT2tifld69K8RVwyYhKjszp4pfGNQTc8Isdq5W+nLmDc/FHUKvm8ugfuPvga9W4PoYj0eIjBbY9vNR/WHGHNgUImjIty97KZXDy+ON5hDUkRTWVzYz6zJkUYX9L/S/FG9DAtvghv7snFgh2zaui0P6iFqPPq7GrK4KdTkih2GHq4khiuJJEVR6VaLCwbVUpaapQdnlo2tnVeAMGmppBtGs3udhNvNVax193c7zEUWPIYbx9Pk8fOq5XNlLsHVwLYWynmDPx6hN2eQ2xz7SQ4yNZitxoszMuYzOYWF2+UN/FqWS0ftu0hcoxC5UIMFg3hMja3HOblQ41scFUyPnUkI+w58Q6rR0lmI0tG5jMjtZR0U3K8w+mTkKbxVn09foJkWFIptPT/FwZXMMIrh5vwRzQyTDnkmgs67W/wB3m/vokzsk2clFZEodSWFZ+j6Lp+3EEvLpeL1NTUWMQj4kRBZXZ+FquvWYqzQeO2Net4oaLic0eolFqncnLy+TQFfWz2PoU72tjvcVyUu5Dzcxeg6To/3PdnXBFvv7cxsBQsqorRXEQk6iMY7v9kvz9kmDL4ZvHt/KXyHlwRmTAjEts3i29lr2cfH7b1723v/jItJ50N15/Pqo+K+OPB1/igdefxTxpkvld6M+nGAmr9Lh6u/SsRPdLvbfzn6O+h6Ckc9lbyr8ZHOu1LMprYsPhGql2pvFC3k79Xvdnv7YvBx+l0kpKScsxjJJEVAJyUtISzcmZy+7RW5rz5DM1BP9HPvTUKk07DYswgqLuod65Bo/9/iQGoqBiUT24UhAfgF+VAMhqSyXUU89b8eVy54WV2OwdnEvsZo2IckA8jIWLNoBjQdX3QTgQal5TN03OuZsyUNm5/dy1P7D0S75D6zKgYuL54Fl8feQprmpK46/C9/T7u36gY+cm4xRTZUrhl+/Nf2Gfm7LTv8N+ntrOmeRc/3Nj/8zPE4NObRFaGFggApqdHOSVLZ39zOt6I1imJBbg4O4OzMlPR0AYsiYVPln4M65GES2JPTVvM92eez32XjeOHe/ZR5Rv8dXUliRVDRVSPDtokFqDG38G3tr/Ig2vTWZp5Ej+fOeu456SbrTw29xx+Mf5yFmRMiUGUxxbRo1R5jexx2llS3I7V2P/DkCJ6hC2tRtY0Wrrsi+phNrifZ311FKN/NhfnXNrv7YvEJImsoMg8nlJHOnajh1frDhHW/v0LSkVhYcZEZqemU2gO4w/1/3CCwciqplFoG8OlJaXYDcefcHZKSTrLRuYw1ZbG6uYK3JFgDKIUQvQkw5jP5OSJLB89EpOqxDUWXzTM+vYKXi0/wv72diyqkfPyxmBQeo7LrBiYk1rKmXmFTEjNx2qM/7jQCl8r7zUfZr8niMNQglVN6/c2DnjqqfS3cFb2BLLMYzApnyyGoKPTEinn/YYjHOoIkWUa2e9ti8QkiaxgYcZSRlhHUR9s557ylwlo4aP7jKqBH4w5j1GOTELRNjr8w2O1p2xrCQtyzuCvJ59OpsV6zGOTjRZOm+RhfIaLw9vC+IP16Hr4mOfEglW1osqPuBimRlgmcV7+Uv6++BQKkh2YDfH/Wfiw/VV+tXsVL5fX8pupZ5JhchwdSvVFUR0qXQqFKW5GpqWR65gQ42i7OuQ7yHP1b3DX7gjZ5lPJNPf/xK/DgW24tD3897jzmJa6hGRjdqf9Lzeu5s2mj6n1JeZEYNH/4v+TLeLuJ6fX4EiJ8nZ913HQKjrT8pt5s0Hh9VpzHKKLj+WTwvz1nDDrygoIRHou92JWDLx48jdQj8zk7lXtLFv7xKAozm5WzPxg1A8ZYRsR71CEiIsd3ndZ7XkKa6rKwf++nAunlMQ7pKOimkIwbOOBaXcwI2VUt8e0hLycs+E+djSFONlaym35k2McZfdCmoedzke5tVhhfnrXIQD9IaAZqPHZ+dGoVMYndb0jVhbYzhvtfxuQtkXiScwinaJfZJuT+d/xF1NQauTp2g283ny40/7ZGTn837T5qLqRHd632e+vilOksfW3+acxNyufyqogd+77B+1hT7fHqaoVi7mAx8rM7PW9Q1Xg8CBIYWFK8ghuLl6Cw6Bgka+qYhjb1dzOwife5BdTrqGlYWCSrhOx193EtVueJhRVqQv2XNxfR+cHu19DxYQvOrhK4/384Ao6wgPTK1rhq+cXB//Bc6eey4X5Z2JVRvJ+2ztfOGow/LYVg4EkssOYSTEyyl7I+/t9bG/w0fqFUlGpFhMzctN45EA9B711+LSO+AQaY3qkiG1NEba27eOIr77bY8Y7xpBtKSSgpbHRuY3qYDneQfD8jLKNI8ecw25XFb5oDR1hKa0lhi9vOMLmhlaeNGynwtUe73CO8kZD7HX3br7BYW8rADbVxry0+UQ0qPSX0RyO73yFct/AVWUJaCHKfPVUeiwUWZIZ42jhfVnMS/RAEtlhSlVMqKoNd8TAIx9G2eHp/O02yWAj1exAM0W5+9AhnP5Eq+d64j6sMVDlr2Fdx/Zu96cZU1icP5OR9vFsbwryr44/Eh3ASg7HY1ZVsi12FEVnctIkAlGNh6pfjls8QgwmOjpP1n4Q7zCOyaoaSTVZaQoF0fUI3fU2JhmTOCvzbEDnteZX4p7IDjRNh9X1OnMywhTbFRyGFLxR+WIuupIbj8NUmmUMeY4z2esys8b1BDWhzgW6rys6m+tyLqWqKg2Pv4yoNvjLSfWXZ+qfYF3Hmm73KSj8ZMyt3LEsnzkLy/nQv4VonMv+TEvLZv2Sq/j47CvQjNtZ1SpJrBCJZGFWKS/MvY5U2xhUtfvJpZoOQQ1mpofIsQyuYQYDQUPjd+X30hLdy/S0Yq7IuR1FUhbRDemRHaY6gofZFaqhzGnCHXF32V+c5KVdO8C3Nr1LSBv6vzT7whVR2LAplQp/K43u9RDHRHZB+hlcOGUmudfYefkenWbfsSssCCEGnzqfiffqs/he0bn8veopagJdOw7aw208WH0Pj9XpCbji4Yn7U0UDp2WkcGFRDo/W68inkfgiSWSHKU0PE9TDBHvIwd5uOohFNVATcMY2sEFOR+fdlg/Z1GGgI9IR157qO8ZNZ1pKLg5jgF++XM628mYq/YN7NTEhRFd1wSbebF7NaekLmeyYh5G9VAQOdDpGI0pHpI04jmKKi2pvDZVmB/60AnQUZJKX+CJJZIehDFMmIS2IJ9r9bHyHmsnq5noiSFH/7qzv2BDX9g0YyDBn8Y3Jk7HrSWxsauP3K7bhC1Qiv+SFSDxt4RY2OteRaRxHhrmU7Ii7SyI7XAXCTdT7ktjlGke6MQdntJXIIKjTLQYPGXAyDF2Wdzknp83tdp+Cwuykr5Jl6r62oYi/NFMG1xd8k9zRFio0Bx/X2/AFKpAkVojEFdFDvNzyIO+4V3MwVB3vcAaVvZ4y7j7yBOdk3ky6Ma/H4+K7fpuIF0XX9eN++rlcLlJTuxbLF4nFptq5ZcTtnFMQ4aX6TdxfsbbT/vFJWfxtxiVo0WR+deh13m0ZHqt4JRoFBZtqx26NEomohCIaPi0Q77CEEP1AUYyg68ho0K6sqp2gFkDvZl5CkTWNB6ZfxXVbH6M1PHzGEA91TqeTlJSUYx4jPbLDiFmFU7NUarw26v2mLvutRhiVrfNg1Xvs93RfP1XEn46OT/PS4gvQEfJJEivEEKLrEVTVQo59BL+eejrZFlu8Qxo0Apqv2yQWIKQZ2NORwUTbUrKNg2cVNzHwJJEdJixKEtmmIkYlBdnhbKTM27keX645nWJ7AT5N4c2mfdTKJK+jVNX6SS+JEIOMATNJxgKyTSVYFHu8wxH9RFFUHGYb14wfy5klBZSkOOId0qDni0b4sKWG6SnjybdmxTscEUOSyA4TeeYxzEtejtUY4a3WF9np2dpp/5lZc7g0+yI+LMsmrMlIo8+zmQswGpLjHYYQXVgN6Yx1nMui1K+SbSqOdziin0SiHoKRGtJGBvjnRfO5ZsqY49ZQVVAwYIhRhPGloKB+4fnwRJ281voop+a0U+IYZqUdhjlJZIeJEofCknwDH7dk4I907V2sD6i819zEd/bcjS8qt6o/zxsoJxwZPMtbCvEZb7SJHc5HWNnyO2pDMst9KOnwGfjG48U0ek1MTV7AuRk3HvP4iUlj+enY73VJ8IaiGSmzuK34jm73fW37w7zetCvGEYl4GvrveAHAHvcR7il/lj+VP0NzqKPTvjPSL8Qd8fJu65sENSlrAjDKNpHT0y/49F9SDUAMVjoaEaKE0eV92u+WZk/j5uLFcWk7oPl5r+1fPLvRSnV9Gvl2yzGPz08PsXyui99OvpBSe2aMooyP0pQgF44Mc17WVSQZOk8ECmoRonp8V1sUsSWJ7DDRGnaxzXWQHa6DBLTO9WEXZI4g1WKiJdp1ha/hStM1onp8b0/NTClhrCM3rjEIMZyNS07nrNxSlmSPxajE9uNSI0J9+BBvlZezofEgtcGyT4c4dT/0yx0NcdDXzszUsSQbhvYEMQOQYjJwbuEIkoxdJy6L4UUSWcHMzHZGpaaSbB0Z71AGjYrAAdZ0vBG39lPMJm4uWci5OdPiFsNglmI2YVbNqLKmixhAVqOf8akKv5x4Hnl2ByY19vMH3mt7kxWNz7Gq9T1yHMUYlO4Tt51NIf7j/VYqvVqPKzYOFQ0+E3tarSwf30yqRaO75F5BwaIeuxdbDBF6LzidTp1P7q/K3yH4V0XRFZS4xyF/P/mbYjbprd+8Ut++7A79B6PPjHs8g+1vksmoN3/9Sv07Y76jT7ItjXs88nfo/lVAH2Uv1B+Y+nO97T+u06+cXBq3WManpOn1l12vj0qfqpsMaT0cp+jqMPldXpjs0IP/fa1+UtEM3WzM7LJ/hLVI/8XYn+oW1RL3WOXvif91Op3HzVGlR1agoSPj68CuWvivMTeQa86IWwwLC3J56fwzScqxcHfFuzxVuzlusQw252Yv4deLb2TVr64mdUYGRocZRdby6TdFSYv46dRzeOTkS/le6XUYYnwrfTDSgdpAM3eX/QMtQ2FG5hmclLQ0LrFU+wJcuW4v4wzzyDMW9nCUjjZMfpd7gworPijk61nzWJJZ0mW/SYUci0Jx8unYjDlxiFDEivymEgIotGayOGsWYS0XPU63q8/MK+KySRM4afZI/rm7ifXNddRJPd+jWsPtVDk72Fdt4IGN+9jeto22SFW8wxoygtEOAqE0PKF82jUjui5fEgCCWogj3moe+ng/WxurcEfb4hKHPxJmY1MVuaY0ko3WuMQwmAQiYZ4/vJMSm0qh1dxlv1nVKbIHuWJkNiUOeb6GMhlgNkQpGDApVhQUQrofWe7w2Eba8liWM4/HKltwR2I/yUtRjFw/aiJnTx5He34qP3rzXdx+KYP2eRs7trB9RwUrDo6j0b0BhknPU6w0+3ewqiafJJOFQ9pBtB5WUBqOdODHL22McwxRAuFGjAY3qiLVZQJakBcaXufG0VfiMBkwK3ZCuu/oflUJYzW2cEepgZ1tCvulT2DIkkR2iEo3ljDRcQHJio1Nnqek5+o4Nrlq2BF4FY//UFzad1hHYbHY2LdX59HnNFzeI/S0FONwFoy00uheH+8whqzt3jfjHYI4jodr/hbvEAaVwx2p2KOjODlpEh+5/350+153E+es/wfVUy7DYJYvvUOZJLJD1NSMCHfP9LKuOoXDFQptstBJj6zmfHRdwxuoiEv7RkXlyZlzaO7I4522OlY0PTssk9hvzZ3I12eNRQ/rnPnk27T6g8c/SYg4MCkG/jzlOv5a/jZ7PLXxDmdYu+vQs0R0A75o17uOOuCst3B9zjJywlU8UPVW7AMUA07GyA5BNlMumfZc8pPCfNC2mvZwR6f9izNnMy11MiZjenwCHCQUVEot8xlrPolcYxG6HvvbdYW2ZL41eg6lthS2dxzko5YdOCOtMY9jMMhJszMuL4vsQC6qzEMVg5iqwqnjTdyxcCyXTOk60UjETmOoA59uwGLK7rJP03Xu2beT3e06YS01DtGJWJAe2SEozVxEiqkEf0TntcY1hL+wysn5+dPZ43NTGdJwDtOlV1VMOAzpLCycS5s7TJnXE5c4ss3JXJA/iwqvi40dW9nnHb69O83BIHvbPdQcNhKOyq3A43EYkjBgxBXtiHnbKirJhgwybRG8YQVnWCOgDadBiDo+Rw1XTCsmM8vCxkNu6oLxmQRWak+jKejFGx2+42YthhQcpjw6gp2HhunA/Yd3cEnOWIyqBaNqJ6L5ur+ISFjS7TEEjTGWUhAZz5GGjG6nw5w0oonJ2SYyTKUxj22wSDUWcXL6Vdx/ixtv2kr2+D6ISxyHvfCDnWEu3vAsH7cP3yQW4C8f7OakP/2LizY8RUdYJrodz/y00zk3+ytxaduupnB+5m28fNrl3DnuaqbZL4pLHPESjGrMe/R1NoQDzB49k19OuCEupeCMisrz8y7jlMwRMW97MOkIHqbWs6bH/TPSQ8zPdpCTPJeeVkYTiUt6ZIeg80d4cBh2cfXWd4l8rjfWYbDz/VHfJM/STkdwN1XuHXGMMr5OGhHmsYs70GqiaP74jUf1RhrY7XoKDRnEHEs2k4Gd370Ey5mz2LTNwGO/K+fl1sSZRHNr8a1cdsMI8opMjL/7e9x15F5CWihm7Xs1Jy+0/IG339MIRhUMeiYLkr9JkDBlgQ9pDcdn0mSs/fDvzZybZ+PyHFDiUI1bB5p9Nr5RfAGTHIe4p/z1GEcweJjUJEYkL6bS9TZRvfMX4VfrINOURKE+lno+lLrpQ4wkskOMxZTD260toIdoC3s77TMqMCvNyMOH6/mgqYmoPnwn06gRUDt0vv/xxxxsj/0t0dtHLmR122F2ueoI63KrK9Y0TWHjziLsbgPbqmrY402sSgjr29fT9PYOHMkKR1qCRLWuX4RunzSRpkCA58rK+719HR2/5uGz+Xi55mQWZGcwa7GfsgMz+fhwMivqt/Z7u4NNeet+XgvUUN6qxGV6pqbrPFCzl3Myx5BmGt61Uh0GE2dllOJLXsbG9u0c9FYe3XfEvxNPxE+BeUocIxQDRRLZISbZNILdLiPBiLvLPkWBNFOU1w7XctDdEfvgYiDPnIdf8+OMHDs5bfOG+PBQEw/vOdSp13qg2VQjk1KyuWLkBOrCrexy1cWs7eHCqBgptBaQXwLeDmjrCFIbaOx0TESDlds6sO10U+Y/yJFAYt2d2OHewY4NPe1VcBhyuPDkGTg1L9XmKFXl0BSqJzJQExqVMKh1jCvIpNRdjLlNHxaJrDdcz54O2NMRn/Z1dN5sPsDc1CzybEZOysxma2vzsOxvVNGw4+bUrIk0BGs6JbJtkQogSpqx64QwkfhkjOyQolBgmsJI4yzyDGO67NV1A+VeKy5/A+FIR+zDi4FL8r7CrJSTetyvoKKisqWtmSs+ejOmSayCwkhHOk+dfAkTR/hw2If2OFAFMCgKBkWN6ai0dFMqt5fcyFv/7+v89ZKbuKrg/C7HRPUIK5oe4Yn6h1nX0fPYukSkYmBs0nkkX7iAi35wDq/9300sz72B1AGsUtIYbOXXh//J/9yrsXu/jtkwPCceGRSFT97tsXvH+4PV2IztLClM49mFSzEO06WF28JO/lj+D/LszWSYI13GLLdFqlnvfmpYljYc6qRHdkjR2e18CgW6jAEaZ5/O3NSl/LL6YxrD/viEFwNzMvwE9RDvdzOBWEHhrNTbmZZupzVSxj9rnotpbLNTFnJ27smkJLcwZ+VL1PriUykhVmanF3Lv9PMIRIzcuec1NrRXHv+kfpBkjHL+iGasrUY21UV4ozk+s8njRSPCTufjLLn6KXKs48gzz2Rr0zOE9YEfQ/tq2195s/2TKIajZ085l8PeFP5W1k6FK3aLS9y56x3+cnA8JyWdR2Q4dsd+Tl62i5M9p1HlnMx6z1PxDkfEgCSyQ4xG9z0hORaFmenwWlUTUX3oTiy6r+I9WoLdJ4gKcNtJbg402jnYFPu3/rSMEKflhVhbk0V7IEpYG7qfOF8fP55L5kxj7CVTqLi/HKMSux6qpqCX7+18A3uLyqEGjcphuNSvRhifP0xdsJw2tYNQjMbDR/RQl0Tqx8tmMjM3A0+bn6+/um5Ip7gefyonZyWTkebjlg9i125Qi1ITqMIbeemYPY5WJYmpjmUsyNZZ3baDLc4jsQsyRtZVZ5FvtnJWvs76LnMOFazmfELhFrQYfLETsSGJ7DCQay5mdFI2Y9O8BI40ow3hRHZzR/e9flbVRql9JCeXhtjaUkW5rybGkYHZ8MkH/Rt1DQS1rqvQDCWTU3IZn1zEPpeJTa1ltIZiN6HNGw3zVmMZNB7/2KEupLkJaV3Hy8fS+KQRnF5QgCHXxf0ftbHXXYEvOjS/XKxrqceptoM19ncBArqH+vDB4x6noHBWYQFRg5f2cIQyX2zulMTKu3V1nJuXy8iknn7Hxnbohxh4ksgOEQoKRsXU7e3D+amnc1p2NqWZtfiDNcNyIkCmKZPL86/AlFbJnvD77PJWxDyGI04Lb0bDPFz9bMzbjgUFBYtqJKCFaXUZ+XhTmCefOczr7a8RlfJiw9bWLWbyfSZmTjNwx8jL+PXhxznkrSaiD70vcw9WvQ9V8Y6iZwHdwybP8xTmXsq5pkkYtSL+UPZwvMPqV881vESxYyFjk7K62asTCA3vet1DkaLr+nHzGpfLRWqqLO82mBVYivhqwQ38peJugl+4jfjsqeeyMD8XFx4mPP/csExkJyYV8IfJ1/FKrZk3W1dQ5t8T8xiUT/9oQ/Tm6khbLndN/Bq37LwHbySAoihoOjK5YphTUVAVhRSThVfn3kqD38JLDZt5tOadeIc2bP1u0nc5NV+jJVrOBR+8Eu9w+p2KgqJA9PjpjRjknE4nKSkpxzxGemSHiIgGrf7uaxm6fFZeONLMozUbh2USC1Dpb+HOvU/SElRpjzTHJQb90z9D0S0njeOr48eT2eLCqOho6CAfIglpdlYW/zP7JOwnpfDDp1azpfzLjdHQ0NF0HWc4wO07/0VYM9ASiu9wh6HuphFLaQm5eKmx+xpt91U8R01wLpnmgatkEU+f/P6JdxQiViSRHQImJBVRaCnmYPBIl94+kyEVMNHgc7GpOT4JXLxNTi4gzWhnbfvheIcyZDX7AuxuacHd0E6om+L8InH4IhEq3G6uMY/minGlODRYXfnlBxxHdZ1tTrmtGwtjHTlMS8vAaG5mRXXXCV1lvlpWNx8k05wW++AGgclJY8mxJGFSg7zdvDfe4YgvSRLZIWB26lhKHcX8oWot0U7jzlRSLCPRVRNRht54tN5IMdq4oGAqpY7MmCeyKkZUxUhEH5oTWz5v5b4qVu4bxIMDRa/t7ejg++s3MsdezKWlxRiJ9ksiK2InpHs5JSOX04rmsrKmstsJvltduzGgkmJ04Ip4u7lKYlNRsRlsBLUoUT3UaYjTwoxTOCWziAxrqySyQ4AkskPAE7Xvd7vdiIEz7efxWJmL6uDwTDL+OuVGTp0DdcYKiPFCQ7nmKRRYZrLF/c/YNizElxTUosxd9Uy8wxAn6GcHVnJhxzRuLlmEwzYGr7+s23JTJfZ8fjLma3x7z++GXCWJAmshNxTexMr2A1S61+AJ/7tSzQGnzuQcL6eMbkFZL6MQEt3wXAJkmNDQ2R+tYq/3Ler8W+IdTlw0BE1s3JnGR+szY9ruFPv5LEw/jdMyk2PabiIba5vDgpTL4h2GOI7TMqbzg1FXxTuMhJFjmUKpfUnM23VHDHgjSTw762RG2OzdHhOIwhGPkcKkM7Eb82Ic4cByRcKsdTZzc34hY+2dH/9G98u8WrWFV3cVShI7BEgiO8RZdCthzUtYH3q3jnrjY1cHL9cc4M2q2FQpUDEy0jKPM7MLybQ42eHeHJN2E90tJ4/nW6eP4MKTu//AFYNHaYmVixbncOdJU0g1m+IdzqDnj3ZgUZ3cXDIbqxq7m6Dlvkbeat7M5HQLVkP3dVNdETer21bjDFUT0YfWio/+qIdD3o/JNBmxKIZO+7xaB86QF1/QSrK1FFWR93Eik0R2iLNEQR3GXzk3uet5o2UrH7bFpkfaoBg5Kfk0luQ6sJoqeb91XUzaTXS3zZrC8tkOJoxtinco4jhMGT7yJ3r46ZwZTMvIpMiWRqbp2OVxhjN3pAadcm4fdQolthysqiUm7Vb463i9+SMsljDFyQ4yLOYux3iiLtZ2vEeTfyehqDMmcXVHQcWkJpFmzMCs9M/zE9Y91Pk/pjkUIKh3recT0gO4Ik7s5nxJZBOcJLJDmEaEj9wP4YzWxTuUuGkJHcEXbY9ZexYVri81UJwcxmKU2fu9VbXdzs8f28+F978R71DEcTz87i7O/NmzBDoMrDxjGc+ecj3fG3V5vMMa1DRdIRQ18tNxNzEnbULM2tV1iEZVnlt6BrdNmRizdvvKZEhmVOp5fK3odiYmTe6362rA/XVVHPJ1XVlwi3Mvdx3+G42udUS02K08KPqfLIiQ4L5V8nXWtW9iq2tHvEMZVLLM6Xy39HruLnsEZ9gFMSrKr6CQZU7GoGj4omFckdiscZ9ofjXhEops+VT7/PzXgX+SZXbgj4bxRmX980RgUBTybHbePPtsiueXEs60UfHcfs585yWcYXkNv8ioqGSaHUQ0BU/UT1ALx6Rdi2rn7Kyb+N2lbp7Ys41frB6cnxM55hxuLbmFa2bV8/PNq3n6yKF+u7ZRsX1atWB4Vu5JdLIgwhCWabbxzdGz6PBkEIrG5rZIjqmASUnTmJke5MnazTQFB2dR84XZRZydN55RpiQMRIlVEgufLHrQHHLFrL1EY1SMnJ6xhFNnZ6P6HdTs/uR2Z0toeI7hTlRRXafW5+WuHds5Rzcyb+wYxs3OwPCBCrHJ0RJKRNdojMPvy7AWYlPHGvz6WCaljOHs7BTebF4T8ziOxxN1817LO5zeMhNfsH8/zyK6n7G2GSioHPR3Ll1jN5i4rfQUWgIWtrvK2e7qvwRaxI4ksgkqzWTh+pJp/GhLM+1hT0zazDBnMztlHqdlenmlYS9NDM5E9qTcbK4cP5YNR2Rp1MFGRaXAUkS7tYN2n4cDnmE8gHsIeOrIEdyeNHxNJqacHiDaj18aTYqZNGM2BY4wFd4O6ek9ARoR6kPb2daYRMRfQKG158oEGaYMko02zKrGYW99TGfz+6J+PmrfwHtVJdS5+/+b0Iy0UiyqncaGOpzRhqPbraqRq4um0xixEK0OSCKboCSRTVifzEJd63qWxi/0Zn02P7W/fxGZFB2TQefFahvtocE6vFrBnqtjGauxbqOJoOSyJ0xB6fcldUN6iMfqHuKxh/r1siKOXmncwiuNW2Bt/143w5jPOZnX8V+zmrhj21u8VV8hpZJO0PUrPzruMWdkLubU9EkU231ctfWPhPXY34r/5aFnB+S6ZxV3UGTJpclzNaucf+y0OIKqaswZ3cT6oAsqB6R5McAGazYijsFszMBiHkm7z4qmdy2r8ttpp/PHGYv7vd09nj38oeI3PNn4W9oiDcc/IQ5OT7meUb75NBxs4u81v8EbHZy9xoNdiXUU3xjxfQwYjn+wEAOgKVzNcy2/J+v0MH9begZ/mLko3iENaS83vsSbbU8xMbsdpftqXQnrveosNtfnMiPDisK/H5wrovG1nS3UahFiWBlN9DNJZBNQiaWE6bY5HHLbiXSTyG5vTWVbS1q/t6sRJagFCOmBfu+pOx4VhVuKL+Ci7K8wxTGvx+OumeVlZIqBndVpBIfB0rADodh8EqcVzuaaRW4MkseKONHRCEQDPP5mKoGCLCadPIkFqRd2SkRE3yQZkrgoZzk21dZlX1gP0+jX2NCYhhbHru9zsqdzTdEZWM350E+v9dq2jRwIfMhZI1tQlX8/uKge5pBrHR63n2hQ3leJShLZBDTSlsS05Ey2uoKEu/mNs729hS1tLXGIbOAoisJ5RaWMcKRjPEbNv3FpYVxhJx/WNccwuqHFoBgJ6yHqogfpRVETIXqgkGUsZX7eCKZlp5/QFTRd5+VttWxritIaScZmzOjnGIcXh8nEhSWjsBq7735sCQZ4t7GOcY4x2A1dk91YmJKax5nZ45meMg5V6Z8UpTpQRUukjNJkf6fUWEfDHaqirs2AEsql2DqyX9oTsSWJbAIanxJgdk4bL7dW4Ne61ird41vLbt/qOEQ2cBR0pua3Uh5ZxXZPz7Nuq6ptvH7kII/UvBbD6IaW8uBGni17kcuffp+wJoOMxYlRUZluv5DfLFjKD2ZPwaj0/d6tjs477f/inyurePzlJtb7Por53aCBZFUNqDHsYU62RLlsRj0Z1k9KqH1RbbCO5+qf58bi5YywFRKPFCHJFGZSipXbik7FpPTfLaFIVMXrN9HduIkNNZmYQ/M4P+fCfmtPxI4ksgnIaNRQDe0c7niB6DC5fa6jsOZIAc2eY/cS3LD1Wf5RuSlGUQkheqIR5X3XXzlcUU++exbfGfm9Ex4W8E7bC7zV/Bge/5F+jjJ+TIrKhiXXsDC7KGZtqjYVxylprF9+MdePHdvtMUaDxnWnljO76CRy7SfFLLbPNPpsuCImFpXUYVT674t0vc/CK1X52K3jMHxhaMUbzS20R9uZkz48Pk+HGklkE4zVnEdrMJf9bSmdZl4ONIspG3Mcb+tFdY3fHH6O/Z7qbvdbVCuX5l6H3ZBCNEY9NhOScvjTlEtIsZagqtaYtClEItGI8ruDG/nR7pWsaHjuhHtTtU//9H8tlvhRFEhxaHx37HxuLpkTkzbDPqh5T8diUDCZevhSoUPErXJpZgZnZ8Z+IaSXGzfycMV7OL029H7sra70V/PP6ifxBqqIap0Xqqnwreag5xBV/q7L+IrBTxLZBDM7dTSZxnyaA7FZr1tFYW7aNBZnTmJKckFM2uzJXk8FrkjXpQTTjZlMT57GeYW5JPcw9qu/GVQbecnpnDU6G0WJfrIWZIIaZS9gcfYULh85GpMqvxJE/9rramVrRxUV/op4hzKoaDq82xSmIDmVqRlpMWnTHQjx5NZ9BAjT0137iK7zzOFydrYdoTXUFJO4Pq8m0PJJHVtNwW7Ow6D0z2edN+rjiK+ciObli4vkeKNNRDQndoOZiY4ZmI4xD0MMPvKplWAuzJzKGGsObaHY3AIxKAYuyVvCtQUzOC0tPyZt9lWpfSSX5C9lWUkbSebY1D5Ms2RSkJFJQambYLgeTU/cpWgX5k3lzqkX8Oc5C7AbpAaNSAxGxYgtge+ERHS4a7eXuogPhz02iz20hHz8ZM+7OLUADrORFFPXhC2safzH5rX8z763ebVxZ0zi+iKNKAG8JFtHYzQkxaTNFFOUsQ4L52ZdglW1x6RN0T/kUyvBrG1WqQyuZ7vng5i0F9Yj/Of+PwCD96be5CwPN0yuo63DTjQam4kTP5tcytXTx2Ia0e3cgYQybXkypy/OoO3v9fEORYheOzltBmdlLeQXh/4Q71BOkEaZ8xUa288lEI3NHbbP+9nMmSzLHsHSN96MedvHs7WjkfnvPRrTz5yorqKjMDZFw6QCsV8PQpwgSWQTzLICP2vaQmyPzaq0wOBNYD9T57bzypEU/nTkSar9zpi0eag1lZXbcti5Lkw4ktiZrHaonn1s5rp338ET6f/lIYX4oilJU1iQcSoGBZ6ofQZnpO8/tyZFp9hu5ZUFX+G2Lauo9ifm4if/b99H5JhLWZx6He87H49JVYZV2wtYPB1she09HvPt0qVMTcklgo/bdqyI+edArNtb1bKDLc4yIpqCMxLDD1jxpUkimzAUzMZ0dMygdx0Rkm12cFb2BJ6r2x6XpQXj6YiniZW1W9nrjk3tWIe5iJ0eH5X+Axx2thPVE7tE1Qd7Kymva2VXR2ufzlMxk22ZyMXzVQ7W6uyo9NEWOjhAUYqhZGSyiXNKknAUKLz4morzBPIGbwTawyoXjErDtssA/v6PMxaq/C7yUnx8dUoKbD+Fzc6duCIDm5S/UrWT/Lw8MlKNmI0ZhCLtfDF1jEazyLDkMiJ1aNUk70lH2EtH2Hv8A8WgI2NkE4SiGLCYc6gP2GkPdx2ln29N4TujF2BRh9dSTNlmO96omw9bt8eszfEZ42jSAmxy7Waf/4OYVo8YCK8eqOHejfv7fJ7FaGFO3lx+duGpnDt5FummUQMQnRiKHGYPIzJqmD3NQ35SEja177fWW0MhdrvaabW2EVUS+8t7cWaIK072cEXhYjLNKQPe3pvNa9hbU02oyUa2rRSlm1Rgl9NPZdBLWmrXCbaJzq4myTjYIUQS2QRT7lFo7WYpPaOqkWoL9NeKfgnjj9OX8qcpN7M0/eaYtKcCzy/K4i9T5/HV3LkxaXOwyk3WWfn1EHnJOg2BbRzxDr6xdmJwerbyEEtef4MXns3h9tyvcWZW38tPlQd28UjNvUx88EWOdCTmsILPaEEd2iOcntdKqqnrIjcDoc1jQ/OM4Gs552NRu076Wu1cyZbAW5iTEvuLenfOzLiUuSlL4h2G6CcytCBBWBUL56ecz/ttK2gJdZ6Uc2Hu6ZyXO41wJDa/AAeTjFwfZc7NvN2+fcDbUhULDmsRqknlXw1v82x1+YC3OZjVOL2M/f3zYFBo9yZu1QYRHx1hN3fu/zOrvnEO+TXTKN1Wwl8qnox3WHHxZmUdc555nZ+NuhVvJDYfyw9Vrmd3qJx/nr+IvzysEeimcMKLZVWsrm0Y9PMk+uryCc1UeV18uK3z9jxLCvdPvwxP2MgTNet4q3lXfAIUfSI9sgnCoiqcnaeA4iL0hdW88q0WUo123qi1Ehl6X56PKRIwEAiG8WmuAW8rx2Ll26WTSM4w4lV9uCLDezxVRNOpaPdQ0eLG6Y9N+SAxdGjotIQ6eGBLBS+Xt3IkMPy+iH/GF4lw2Onkser3aA7GZsKqKxKgLejBHu35efeGI1R7ht7QgmRzlOmpeVyWf1qn7WFNZX9HFpPyjOQmD7PbmwlMEtkEoGDAajIxL8+DzdA1U01PCmNyBHij3k94CCWySWo2JqX7JWkVFEbZc9EDdoL+2PRgpBgtnJUxmrqgBXeMynwJMdQ9urmK5w4dYZu7Kt6hxFVEj/Jm8wY6YjljXgPNr1Bsy8VhSNyavH3V6DVio4DTMzsPafFFNd5saMZh82A3SwWXRCGJbAIwGlNIto0gJ8eD0dg1Uy0c6ydvRi2bQ+8RZWj0aigozEq6jBzTuG73W1QTv534NbKVErzB2KzC0hY08MSRVG57JpkNZbLyixD9wR+qpdm7mXrvemDYDfOPL1XHYIWfjLmOKcmj4x1NzDy5L51nDqZR6evcCeLXXHzo+gdtzhDh4PCaOJ3IZIxsApiZVMqlucvYVxEk2E3FgmBjFG/Yg8d/mC8uvZeISu3pPDJrOYVZfn66I8DT3QxFVdBJNYX5we6X2OaMTU9Oa7iRxxt/S1TXierybV2I/pSsZrEg5VoW5xl4ofFt1rfHZ1WpeLNZRqBpAYLhgS8nuLPVx4znd3CKqYjGBC1fdiK2h9aTrbZzZlr3lVYslgiGbjqNxOAkPbIJIMmgkms2Uu2xEdY6v2TZtpm43aOobEpGHyJLkZgMUJKuUNGejtPffVkeVYXSER1EjF78WmySSh2NoOYnogeGzHMtxGCho6Bj5oyzVUaUDN9+2a/kTOI7JYv4ZsniAW8rHA1R66pirfNVmsO1A97eYOENNRCI9Fw3W1F1JjimcnLK6bELSpww6ZFNAO6oj7JAPc5QEH+0c9KWbB5BoycLr3fgJzvFiqKAyRjlg/pmqr1duwlsqoMiayEeXSE61KbTCjFMRfQQjeEyKnUNN19uwtOpBTlUuDzUJuBEpelJeZyUnUvQmMr9lQPblk6UcNRJZTQ2E8wGi6jmJRL1o/cwkKXFZyHXVMCM1GQ2uT6IbXCizySRTQDbPXXsDX6A13+4yz6TCvtdEA0PnR4MXYdg0MADlc/THOyayBZaizk/+wpWbldo8cR+jfLEpGBAJSo9yWKQCuhOtnmf49J7vvy1Hj5rAb/fsoe/7z7w5S8WY0FNIyndR3FhB7wXmzZVPhmypqMn/AIvvaUqOmZVw6IaCGnRTiXG1lVnMy7JwqSUoTHnZKiToQUJ7olTLJxToBJO8GVSP89g0EnL9KMo3Xe3Th7l5xdfr2VJnps0syRmx2MypJLjmMq3S/6TLFNOvMMRYsA9vm4ke2oHfoWsgfC/B5/ilxs28cHagpi0p6BwXf53OSPzVkodw2eRgIwkPwtGu9lz3jWMT0nvtK85qGAyhMixDaOBwwlMemQTwGRHAfPTZ3J/RdceWYNmoDqwjf3+sjhE1v+KzFMYY5zB+vJcwtHuZ436O1Qqthr4z70rKfMNj3XAv4yI5qUjUMFLTc/iinTEOxwhBtzTtStpC7XFO4wTEtaj+CI6/kgSk+wXcdj/LiF94Epy6ei82/Yifj2KLzp8amOHQkY8Xhu5o/0Y13fe92rTi6x3KmhIIpsIJJEd5Epto5iTNpIF2SncX9F1/64WG2WeDjqi/TdQ32hIJqoF0OMwM1/To7SHPLxUVUagm0LdBtWGGrURckbY0F5OZAj1RA8UXY8Qiroo8w+dcdRCHEuZL7FX3asPtvJxx34iehA9ButqVQePDHgbg02VL8BbDW1cWexA/8JTXBkopzLQ/Xli8JFEdpBblHEGi3MyGJ3RfaL67GEr+/39W+8uy1aEM1CHPxL7CQB14X3UhffxUQ85l8OcQ7o9k9SkAAy5hROFEAL2esrY6xkad9kGqy3OVuoP7mFJ5kL+P3t3HWfXWSd+/HPk+r3jbsnE3dMkTZu6t9SgpUhxCizO7o9dVpDdZXFYHAoLddpC3ZtapBJ3nSTjbtfl2O+PFmg6M0kmuT7Puy9er905597nm5Fzv+c53+f7GAlRZZnLxE8vy5U7TIIxN+vbKkc9/tTQrzka25G08WQkHl62iovKsrOW8sayFVxTuJrBYTeidbogCIJwOnQjQDh2FEUxEZMiuU0kslluqi+CXY6xa8xyryT/AUpQ2RDB5c3O1ZoLy/3MKgnRH3WJS48g5DkZmf+a+X6+O/vDfKD2gkyHI2SQXbbxL9M+Qp1z9Emd06XpCpYlJkVymSgtyHIbBg9gmX3sDqapFtSCUNiOpqX/HmeGewHlDieSFGHD4J5Rz9EMhWOhIM90NmO9s7ApyTyKnSsr5zEQVzkUbqM91pXS8QRBOJ4kwSRXLY1TJZTBQe6eOD37hXdQkFhWVMEj3cnbHtyyQDdlqmxz6FaO4Dc6k/beQvqIRDbLPd7VhG4dJGykvvJcRsGn+ujuLCASSd7F4lTNdC9mXkERstw3ZiJ7eBgOD/dye+vLKY+nyObiH6edzyt9FrHudRMmkS1UnbhUFUUx6QjnXkN5IY9Y0BELsrRBpaZQg5cyHZCQKbIEte4Ydjl5kzoW4I8rTHKspNMmjUhkVUmhSPUwoAXEE8AsJhLZLPeVKe+mJdrD79ueSflYFfZKbq29jWAiQXyM1lep9Hj/HTx+km5av219Kj3BAKpiUl86zM+2PEBbJHXtb7LNl6dexA2NjVRU99Nw5wPEDdEZQsgMA5N/PvArTK7DIP0310L2kCSLyoIQNjV5vcOjhswfjhThkCWKbDZ4x3zRJFcF/zPrI3xk54/SMpkknB5RI5vlZpYN01CYniSqT+vh9rb/5bN7fsWm4cNpGfPtPtnwAVYXL0/7uGORVYuCugSSMrHuxetnhKiYHKe5pUTUjglZYaffgZNZ/HbBh5DFIs+Ume9r4JfzP4oqpX8i42RMS+LwQDFLXDczz70mKe8ZNyM80PMzHh9+mAPxAyOO22SLCmcceYzNeYTsIGZks5SCwtKCNVT53DTHe9IypmEZDOmDkKF1XgsKXQzpNhjKzPhvV+OYxEL3bHp7vBjGxLrfe7Y5zNHBdlpb+zBMMRsrZN52/276Ex2UOhKn/Yj3vNLZKJLMi/17kxpbPiktkrlguZsvxpdzf9s+2rKo93TCNPhd80aOhRT6teSUeVlYBIxBonEDc5S+6XaHQUNjEHlLUoYTUkQksllKkmQmu2YyoA/Tr8dHOwNZsmNaox3LTTWuOIW2sbPoKe5S+hIxQkYcy0pttl3tqGO2cwWHWiLoxsSZAZrmLWZPu503jCGaA+LqLWSHQ5F9HIs6KFALmV1cSHMwSEQf3yPmixpm4FDUnEtkS2ylqJKKbukMagMpHcvmNCmrMfhY41I29LdnVSKrWwYPdL128hNPg2aM0TNdtpB8OogZ2aw2saaacohuaTzQ82s+sOFVfrpv5EpKWbLhcTYiSflzL2JYEuYYj7IVSeb3i2/hnIplOG3Jbb8yGtOCoC6xtsdDdILMyMpI3L/ier7auIY1vmmZDkcQjlPrmMIt1Z/i1RuvZkFpybhfP/1cnZnnZWdbwRN5d+X7+ET9Z7i5+r0pH6u3x85zT5YxEHKhT5Dr3on0Bez8+tl64hno4iOcuvzJgvJUJN4+6tdNK0EoehiL5BW+Z9rHt99Pwhz93yNJFrMXD2DvbSHamfruAbtDmzgQ3oEERM2Js3K/L+zigY5nWNs3sl5MEDJJlsBuk3GfX4W8zg7jrLj61O+eR8rB+tpngjt5j7uRlQUSv2pN7VjdUYtH2jS+NMtEGuNbVeko4FcLPsindt5JbyKY2oAybFiP8ZT/MJrYCj2riduMrGe+9b+R8iWJ9SoOvth4Oe+tuZBZ3kljnmcvU5HsFmN9P5JJtzSiZpiIGU7LXueZVuUo5ItTLmP6fA21IETMFCt0hezSl+hi/dCTaC1+PlE7n3dVTx/X66eq87lx8oX873tWo8i5k9D2RQ7grO1i8vLUX/f8ei/bQ8/hssdQxmhzZVgyfbFiDCv7FoQlW8IM0xp6HTPFpWzCmRGJbA6qdXlZWlRDnWMyCrl/MXHIds4tWcIU72QKbAWjHHfQ4JqMbFPSsittua2a2QW1LC0tS/1gSVZqK6fMNv7thQtUNxeXLwKniimuCkIWChrDHAhuR2sLc1lFLSsrx1di5FV8zC2v5sNnzUAZa7oxC0W1XnQ1hOJNfcwxK0iHtgtfYQxVHT2RjRkGrw52EDfzJ7mrd9ZQ6ajFqRxfsmJYcfyJo1hpmDwRTp/4yMpiqjR6o5l3183kt0uv591Vt+JU3GmPK9k0Cw6GVH7ZvpnX/C0jjlfaq/hgzYdQ/BaWlvoLysWl1/KN+e/h9nPPSflYyXZO8YWcW3zRuF+nWxK9MYVH1pbS1uVIQWSCcOYsIBqy8JXF8BQnxvXadUMv82Lf2reuIbmTyAK07ZPZ+Vya+uhKFqWTY9hdMNr3KWQEuaPjD4SM/Omt/b7ad3FF1Q3UeVdlOhThNIga2SzlUWw8tepjfHbXI+wOdB93zLIk+hOD/KL1djRrfBfzbBTQg3zj0HfQLH3UO99yp8aNDf2YgyZmGpo0XNcwzKp6HwFX7pUUlDus0+p5eCzSxW27v48F6Hk00yLkl5CmM+1PD3Lf2VcQ8Y8/sdP8FoGdJl7ndPzRFgwzmoIok++FQT/bIv14XTMIR4+ktKzMNCW2b6qgXL+aBtd+WqPrUzZWtlhUHKTBVcGFJZXcuj3T0QjjJRLZLCVJ0FgVx3lgZFKiKiZ2m5YXSexfJU7wb3F4TOoXxoh1qhhpWD3qUEz6B10cjJSmfKxke75/42nNNVlYxM38+X0S8ldY13Ev8XBJvJxE3MXXD6w95dduH+jnE+tfJhgbxsyh3/dFPjeXVVbjttv46q5W/FrqEllJgqrCEO+uc+GSnfyxLWVDZY2gZkN2SZQ4xU18LhKJbJaSJHC7EsijFdxL1pgrSnORjEKx2siQ3oLJyKbUit3CU2GyZ5eHYDz1v7JOt05zZIjnW/pSPlaytUQ7Mh2CIKRcc8BBjVmAXR1fG67eWJRnO3MvM/PKDiY7CphXCnY59TfzpiUxu9DiQDD3nkqdjiNBhRKbgpSG762QfCKRzUoSEgqmITPagnldV4gnkr3I66+ZcfovXKrkZIbnCrYH7yJmDo88QZKwZInHmn10hlP/K1tYFmNz2zH+r21iPGNyqDKKJBPRxGyEkBv+8qhJQg6wJ5Z7Senp6IjCngAsrEj9GgHLgoN9HmaVxXA7Rk4s5KNXehNgSjR4XZkORTgNIpHNQk5bGZUFixga8KBrIxNWf9xBV9Cb1DEdtnIU2UUkPnKxVaoZ6LRJ+9EZ+1GfKZn8pu1HBOKpL5JVyxSU4YlzZ/6fly9j5aRy1vziyUyHIgin5JmBu4FM3HZnxhv+9fRoB1hZ8hEMM7WP4+Kmwcf2PcP7Ky9gIFac0rGyxRuhu6nznc1k34JMhyKchonzaZ1DGh2F3FoxF1WxRl1cW1kXZeai5G4duNQ7k8uLVyT1PU+VYSXoDW5GH6N3qX9IZcPaEjQ9PS1Qnnm1nJ0HR7YBy0eXltzMDPc81BxbxS1MbNZb/51eKivhcjQgS7nTncPCIqBZrO22E09xIgsWwVgLje4hJnnyZwv0E7GwcMg6BbaJMQOdb8SMbBYqsiks9DmRiCK940I9zzuPKaXVeMuSW+zv1wZQMja/YZEYa69roDcS5v59e9DN9CSyL7Y00ZvIvfrY0zGvoJpS08AITZS5LWGik5FpdMzF56pjINFJU6Q50yGdkogRZf3gNhJm6pMtw4xS7IgSP8FTsnyTMGXCeu73ZZ+IRCKbhVTJxKvG8Sdk9HfcfV9Yej4zvQ4sKbl7Fe4N7Uvq+yVTd3yI37U9m/JxJKDc4WZ/bDPhHKoXtckyJXYHvbHouG9Fih1BYn6d4cDE2YZXmNgkZKaq05ldqHI4sidnEtmoGeK1QPrKf2KESDD2daFQdSNLMoZlEtDTe/2QUZElG7qVvPZpfk2hI2of9VipzU3MlIibBroldj3MNiKRzUIHgxLf3quiSoU0h46/Q/SoFkanyfBAfmxPm02K7U7euPj9FFfF+OnePfzH67mx2GtxSRmPXHA5Mx++j6A+vtmafz/4eziYosAEIQsZaDw++FMeH8x0JNntH7a9cMLj35/zYcrsxTSFu/l/+3+fpqjeVGKfQbVzCbsDdyftPbujsHeUqg0ZiT8t+zCPddp5oe8Y+yKPJm1MITlEjWwWGtCaeS34f6wP3E7A6BlxvC/k5kj/xCjCTzdJAn+fi0ggTbvoJIFapFJ0URGSOv7auUcuvoSbp0xJQVSCkN1+dd4q/n3ZwkyHkbMcskmVK0q9N5z2sYe0IxwKPZ7U95xdqHFFzegzvIXOOGvKbawpE10NspGYkc1CBgnC5sCoxzYMbeZg2EXCyp/tAbOJophs6vZxdNiZ6VBOmRGzCDcbWOMqIZaxqyXMrCqktGf0x2mCkM8ml3nBlju14cU2F++tm0dRVZxnjrWzvTu1U8rzvAuJm3EORw6MevxgQMGnKuhW+ufDDCuOYSV3IZpbNSl1WtjVUhL6ELxtl8nWsIuhhJ24KWpos5FIZLOQXbZToPjo10Yms+sHN2UgoglEgpd74uzz587q1VBAY9urPRjGqWeyqmSn0jUFu0tBFlcBIUcpSNS6ionoMmEjQtQ89VrNjniYnkTu1DuW2F3c1riK6cv89MWiKU9klxYuJGEmGNJ76U+MHOuNQT8FNjteW37cCOuWhGapOOzlaIYf662ZAQt4oz9GUIOWSHK7BQnJIT7CstB09zRurLqO/2r6DibpWakvvLmbTfeQj2f77uFQOHe6FuwN9HPZuj+P6zU+xc3NpVfhiB0jDYugBSEliuxu7lr8MV7qdfNc/zpeHX7plF/78SdeTWFkyZcwZI4GfEzzRJDsqZ8FneQ2mOKezmxfA18/9L0RC0lfGL6bEtclzPI2pjyWdOiIONg+6BvxdQuL7x/9XQYiEk6VqJHNQvW+CDfO6ECS0vPYa7n3A6z0fZLZ7mvTMt54/NOMlfxp+Ue5rvQLqFJq61bjhsTdx3wMJfL/z8KjmlxfP8yx5lL6hjyZDkcQTosiWdQUBFlUHKfWld8LYDtjg3x850+573Evx5rdKR+vsTDA6to+rpzSNeY59Z4oc4ryY5bSq5pMdTv5WMV1eOXUf3+F5BEzsllIkcClpO+ifNNkBcn0sj8YZX+WdWEqdSsUeXSOaE2Y4ysCHbeEmeD5/mcIGMGUjpMNdEviWMjFoYBJc1BshiDkpqCe4Fv71zPffSlhPb9vQA1MBrUgdx59iaORzpSPd8DvxiP7sKSxv68v9R1hX7A75bGkg0sxqXTqOBSZuzsg+LaP4LMKLmGSWyFg9PFs39bMBSmMSiSyWUiSLWR19NnYae4K/HqUvkTykq01tTGshEkmfh0qnC6qXW52Do2+uC1hygwZUY7Ed6e8zMJAZ19kc0rHyBaGJRHQFDYOdNIWFQsHhdwUNQzub2+ntN5Iw45X2WH94M60jHM04KRAclPsGHtSZbu/C8beyyanJEyLmGHhUQykt/0qSUjMcC1hVamNXu2wSGSzUH7fwuYo2WbhLNRH3TT0X2dcw5UVyd0P2lkYw+FKYJPSvwnAu+onc+c5F455/OhgAbu73ETiraRnZ/Xc+jCUkJBPI2aXYrKiNMje6F/o1kZflSwI2U6WbJT7llLssONUxHqCZIoZJh41weyCiXGjeySo8nSnk1d63cSMv19TLSBuWLgVHZ+aOxvlTCRiRjYLHez18ON1kzEtiXcmbxJW0mtnVz/8JFgyupn+VjSq28RdPvbFQZEslDTVCsuSnSmFV9EafPGEW+Zmkw/VXUSDq5xvHb5vXK+TZYtSbwQ5Td9bQUgF00rQObyObwc2YFj5XSObbi+HNuD1TGdh8eRMh5IWhgWWBRXON8v7/krizf+/uiSIw8iPeuB8IxLZLDSox9gU7MYaZQbSperY5OTOPIQytB1rg2MVxVotgb6xfw2LHRoVzuT2CxyLZen0hLegj6OFT6atG9yDR3GM+3V9sQif3baWQS132g8JwmgsdL61ZgmbOvv5y6Hxbd29uryKGxqm8JWtudXBIB0iiR6weamoLst0KGnRFj9AZHiQzWGJsPH3zwALi42Bx+jcp5Ow8n/9RC4SiWwWCuoBmiKH0vIgPZNmeRupd5WC1T/mOS5Fx2tLT6JtYRLU2tIyVrIcjZzeQouwofFE19EkRyMImXFxbS3BqA6ML5FVJAmHkltN7hcXNNIeG6AvkdrZQcOMIMlh3O7EmOc0uMooUF3sCebWdXM0AaOfgNEPo9zbt8UP0Nab/piEUyNqZLNQzBigK/wao9WERnSVhJFbF96xrCxxsKhKxlc59oyrbhlolqhLGotNknHI+fH7IAinSw+DkRh/rfi63i4+u2l9CiJKnS9PvZrlRdORSP3fvWWAfoJ2hJdWLOBTky9GFnNiQgaJRDbH2GQLRc6Pudq2iMKBdg+H9paOec73Dq/nMzuSu6d2PvmnGav5zeJ3ZToMQcgo1W2h5NB2s2diWvEwi4tWMMeT+r7f/QE32w9XjXl86qRhzllssqLgNlQpd7b1FvKLuI3KMS902TkYyY8ZuG2RbsJ9LioU15jnGJZFeroV5J4az9k0nj2D2koNxtER5oLSOVzfuIA550Z43++epzcYTV2QgpAGt619jb7oxKj3tiwJn+yiREn9RiZbho/REX1ozCtwcNBBh5Jgb/hRDGvsEoR8MMt1DqpkZ0/kxUyHIryDSGRzTFdMwq/lVouosbRFjxDVQhSQ2h278pVmRhgOGAzaxndjM8nr4fzaSubON3GM87WCkI18ZjFO1Y3q0jgS3Z/pcFLq8c4mjgR66ddSv/BoSAszpIXHPsGwUAyFIqWEkNGV1ikHBZVG1zxaYgfQrNTfxCwsKsSlONmTO2uBJwyRyOYYm2Qd1xokGeySC8PSMEhvLepgbD+D5PeHTir1RXew9bUSepzl43qdx5GgzBfFUr0c1/lbEHLUZ2eeTTRRzStdQY605/c15X8OZk+HBYdDp9zrYqn3arqHDpOw0vN0R5VUCtUSLim5hj/1tDOkpz6RXVYWp9Am8cf2lA8ljJNIZHPM1XUG6wZMdp3gJnm8Lir8OIdjb9AU25S8NxXS4k+d43/M1RP0sPtIEQse7ceMiCbyQu6bcbVFQyBA3aZebheJRtqodhOv12Syz448LKWtCmyOZzFXV1zBR2b08fywwVAa5mDCCTuKaU/9QMK4iUQ2x0wqDlAaTe5d75xiheEhmaaJUWKWN+Z6rufskiLsSj+/aD71BXHP9+1gq/8wrn06PTFRHyvkgbiGbOmotvHdmL1rZj1fWbWEHz9RzYtDDxIwRt8qWxjdkd5CXta9PBfaltbuMgnTIqybuJ0JpDQtfi7xRim0i003spFIZLPQJFcx55ZO5p727SNucF12Dbua3Fm0mAG6WE+Vc+Z4a1hVZcdUgtB86q/z6xH8uij0EvJH834HAd3Drr7x3Y2XeJ3MryujylGFKomPw/HaNthGV0SjLdyFmcZENmLq9GgRgjEHppmc8ihZdlFsL+CGqlrua9tDyDh+8ZplgpWksYTkEn+5WWi6t5RPT1nBfR073lq1/3eyDCR5W9FAAuLiRjPnzPI5mVMdJyCPby90RbKjSi5skkzY8GMhyguE3Pba1gSSpXNwfH8KoEjITgWXCrLIUcZtR6CJHYGmtI8bNTX6tCiBqPOtrdzPnCI7KHeV848zV/Jk96ERiaymK2jiZicriZ9KFpIka8xtaGMxFV1L7krzBq9Ec353TslL1U6D4lqZuG18XR/K7XOY7D6byWopjw38LxFT7B8u5LZvN9132q+VAJ9NSvoiWiF1FBRcko3a4gCqkpwbcU0fJpYw8bljo66BtdsM7GnaZVIYH5HIZiGnU6OievTWKoGok6iW3B9btVPHl+RyBSH1vt3yAof1RZTYisf1uqvrTb68IEphXTvr/mAQEduHCxNUqFumaaPCE8OHCRhj7zCYTe5ddjMtoTJeG+jjsb4HMh1ORjgklULZha5Hk7rATLFblMw3UV604B3LBw4OFuBRx+55LmSOSGSz0FDUzvaO0ZMT05KwkvQo5a9CukwiA7U/55asoNpRiEmUP3dldpvIQqWaGvscXIrC/shrRM3sz+56om0836nhHucWtT6HSU2xiWeSjRzbZl4QRvXemrNIGAUcDUfZEdp4yq/rDtnY0OagOfQiCTM3Fj7OblDw9bvoirmhL9PRZMaQ3s7ByEa6QsvQzCRuUGqBFTVGTY7XDezFJkoLspL4qWShmKbQ7Xe9lbAe/xcV1hUSyfzDBQ6FexlIJLGf1ylaUTSPBQXVGAyNmcg6pQJkSSViDqY0lgp7GauLllHqlGnv2EE0kf2JrKYPsycwPO7XhQ2FvpgdK+5M+k2RIGTCDdPnEItWsb4zMK5ENo7EgGQyGDuYwuiSy+NN4AnqOPNkq/LTETB6ORKLcMx/XtISWVmyI+NjsNuGMcqakd3B9NcCC6cmuRmRkBRVnhiXNHYjjbKoa6/fRWc0uTth/V/bfWwP7Enqe56KUrtBnTtOvWfsFfSNzpXMcV+a8lim+0w+Ok3n03MHKHPm98q3HV0+7ny9mjcedRGPikRWyH2zV4dZtTDCWSXauF43pz7MJy7qIpf+CgLdDo702TgcnNiPUxKmxJYhlaiRnJ+ex16D27aY1/ZVE09y+Z6QWuKnlYXCcTutfUWjHvt99wvE9eG0xpMqpgWqYmCzj73S7GMrAkwvkbj2odTGciio8ocmNyvK3QQT+f1nsTXwOruDW/lJs0UoR+oCBeGEnCoBHHTFxrcYR3apKBXOFAWVGqYp0R/T6Y5O7BW6YSPIL1q/R9xMTgP0uBFiON7HgaAdXSwZySn5/Ymdo/YFu/nvg2sxrZEzsoF4B6Y5vlmHbKXKFnabgcM19r/HDCkYSup/Tbvjrbw4/ARt0iyG9fxO7gxLx+uw8Y0Fy/m3HZsYSuT3v1fIf//yl9cwwm46esaXyEYHJfr25NbM5jG/jz3BAxyKHch0KExxzqNILWdb6KWMjB9LYl2zbgToix7hga6/EDZEn+1cIhLZLBQxTDqiiVEXY+rGeBslntwk1ySGtWH8uj/p730i3TGDzqhEoTL2tn9dww7sidSvFA2ZQ4SjAYZli4iZO4ldsVqOTbLTq3WM63U+1cZNU6bw7T3bRCIr5LymJoNhvYvu+NC4Xtc+EOaFPZ3p2lk1Kdb3dbM3eJgB/VimQ2Gmr4Ip7ga2Jf9j6YTskhePUopdUunXWjE488kd00oQ0QbYpYnd3XKNqJHNQtPcDXxq0s3IafrxvKviemZ6ZqdlrLd7vjfKwy0yLzeXjHnOtgEnL3e50xKPhcFAeAdGjqxeBpjvPYvVRZeN/4WSBWoufXwLwtg+PeVKzi+bP+7XbRho48u7nktBRKnz8+aH07YJgYx0wpX6S8oiXNGQ/j7UpbYpLPLewHmFt+BRCpPynjIyNknFLov5vVwjfmJZqMius6Ao+OZirzTkGk8PH2UwNr6ZjGTYG36Y/WFp1ObTf7V+6BnIqaUY6dXgsah3WuNuw+OP2fjN5imE8rweWJgYzr/Oz8C2KIzvwYRwEueWzOWDdRfwiV0/G/WjyDBlND3982EzvHbeW+vDIVtsCEIgCetzzy5exdUV57O0OML7t/2O3hzoXCO8SXyKZSFFMnGlcQeRec5qDugdDKb5CbOFifHm/zEmU2yfekIv9G/CeYLSjLEE9CB/aLuLsJH+tmuCkGxSXEPS87vbSLo5bOVUeAuYUTJ2vahpkbQtYsej1JlgfnGQYMKOmqQ2ZOUOi9mFBpOKYyPec777Wi6qVIlbXfyq+dWkjCckj0hks5BuyQTT2P5jMNFC1EhvfeypciolyJKNiN6T6VCyUle8/7Re57RZnDXZRG2dRVe0m4Bxeu8jCJkko1Jhm4EcUrBi4qY3mRpdk5laUEVpwdilVjFdJZRIbjvIUyEDqgRRQ8ZM0lNLRQKbBAlDxjruKaCEqhbQ4C5BE79iWUnUyGahgAYH/DKjNC1IiXVDz9ASy85mzxWuqdR5FiBL4591FMZW6Xbxf1es5rLyd1Fjn5rpcAThtNgkJws9V6P43RgRkWUk06qC2SwvbsRdMHabr74YtITTPyMb0mWaQyr7AgaJJP3Yg7pBW0Rj34D6joTVootmuhIxhjKQtAsnJ2Zks9A2/2G2+5uwcmotbWq8p6KIWQWz+F5zEU3DD2ORvpKLfGbqEsFWFTsyqixqkIXcpMoScwvdRLo9hIfFzW4yTXbr1NgN9PjY8133da7LyAqG1/0hmhKHODL8WNI+J5/te4Pn+jYBjHjPkNZNe3QaqiVSpmwkZmSz0DR3I7c1fBhpAixyurh8Bj+ed/2Yx8sLI8wp1znP14gqpfbX1as4+N3CD1DvKk7pONlCki0+urCbRZVp7p0jCEkiAYok8VxHCfuG0tPdJFMkyYbHOZmfLXg3F5RNS/l4le4ohYpGOHjiG4RMTLcEE220BV9O+mSP9dZ/ozkcirI/KPrLZiORyGahqKnTqU2MFZOldjczvaVjHtd0BQwbNQ5nytN6m03i/KXFTC9cQJFSl+LRkkeSVGxqMePp7pAwZPb3F6IYKrYJcMMk5CebYrKifoiBOAwl8vvjzKs4uahkAefNLKG6OPWzz15nAptiEow6Uj7WeBlWnHga13Uk9CHaovtpix1K25jCqcvvv/wc1Z0Y5IWhraPeGUqSiizZkaXsu7icjogRpz8xdh/C9oBJ01AczRom1ff+igKTFsWYX7qMGkfu1I06VTvTSuqRT9TH7B0iOjzXInOwx8twRDySFXKTQzW5dN4gIWuQgDa+/s/lThcl9ty5jhaoTt5TsZCGyRpuX+pLrFwuDWwmA5HUb0iT7RJaPz3xnfQk9mQ6FGEUouAjCxlmmHBs9F1b3I56XLZyFBR6gq+lObLke7x7P4937x/z+G9aNvCblg1pi8cyLM4rd9A+YGNfjjxFWlTu4dl3z6P21/sJnuLKh0FtmP9q+gk3VXyRQyGxgEHITZJdxr3UxyuP3MvB6Ph6Yf9mxXm0hoN8ccvGFEWXXKpkUe7Q0HtNjEjqH+g7CgxidomjYZHICtlNJLJZ6KLaGr6zfAUvHKjjVy1/piXa9bdj/zVtBTMKCulLDPLhLRkMMg/pCYlNTxYS9Cs5tczO1CSi/cppTVg/OfAHEmYs+UEJQhpYcRP/hgjmaSR23mkSrkEJcuQ66lB15tb2caillAF/6pPLj699FRubiSTkUS8tn274MNM8Hvx6N986/JeUx5Nq11Ut5IKyGXxhz4OZDkUYJ1FakIXcssokVyEzvD5cinLcsVCiAEMvxEF+L2z4K6+tltkFS7ht0jnYJOXkLzgDmgmvtjnYPwz9sdxJZSMJlQNdxahK+bhLTsKGH81K804YgpAkQU3jm69voS966mUFMgrLfBfijhRhhHPn71yWLdxODX/cRlxP7bUQoDscpS0cYEAbHvX4WWU2lpQ4afTmx4xtTanMwsbRv6+NjrPxyhVpjkg4VSKRzUIxXaE74MCwzBG9ZJtCNjojNuLGxJhMtyuFTPJM4tb6Zdjk1P66aqbFuv5+tg510xnLncV2CV2mY9hHg3sKHtWT6XAEIS0UyYFh+vjpgd0MJk79ZkxCos4xlf4uD729ufMRGDMM9gYGORDsY3ic9cCno8JeTImtYMzjpY4EdkVHs/Kjf6+3QKO8ZuT3VUJiddlC6tx12GRxfc1GEyMbyjEtfhd37q2hO2IwmDh+AU9nRMcqjVHpzpECzjM0GNtHX3QYt60m5WMlrBhPDPw25eMkm0MxafTG+ErDBfz02ABb/IOZDkkQUq7ENpVq5xJ2Be4e1+sMdB7pv53ere8nYoydqGWb5lCINU88kbbxPlx/FUNakNtbHx31+MaeYiyriCOh1CfV6SDZJGTXyBsbCfjm2UP8ZN9Mgi1eOkLr0h+ccEK5czs6gUQNi/6Yzsemhal0Hr9/+Mv+O9gR2MxwLHdW254pRTYpcMdEk6gxhHSFLYNeyh0aTiU/ZkcE4WTOr4AfLjr9128K/Zk9keeTFk+q1ThK+d2CL1GYpqcuU31h6j1jT5gsKorQkXiOJ/rvTEs8KScBY3R+GRjw0Dq0k65w7i+wzkdiRjYLDRuD7IptA2aP2BRBs2K43CHKS8OZCS4DTEsmErfn1AKsdOqND3JX+6MU2Q0Oh7pO/gJByANuh0FlsXbar9dzqDZcVbyUFJRy3vIY9sMWqdzgUEbhotKrmDnZR2J4AMZoKlNfHcAdDhK38mOx6ECPg6MHvKMeM00Jw9QxrdP/fRNSR8zIZqGIGaA1sZ+xlqGrionTlj9btdokhSWFDTjkMe6rJAtZtai2T8IpT4xFbuMRMsJs8u/gub7d9JygJ+9YJMmGTfbhVWsYz6YKgpBJPYkw2/ydmQ4jLRxyEcWuKuqrQyhKivtpSzIXls2lrtyB6wT9an3uOA6bMebxXFKq1qBGy/D3jN5T+51rVYTsIhLZLGSYUaLxdnz2BIo88lFxKOSgr3/0O8dcVGRz8b/zbqLSMXq9mt1mUFUV5pLSW6i0NaQhoomVzLlsJZR75jC36GoUSWyOIOSGZ9ra+fDL6zMdRloUKVVUKzPRAxakuHpIkSwurg5Q4jROeCmMBlW0eH6kEKsKrmG+dwGFjlFm6SWJFO+OLpwh8ePJUrol8WxnMUOJkbOUUV1lOJ4/CYdNNZk7tRfHGLPMQ2EHL+xu4FA4SMhM/aOdcu9SCpy5s7PXmfpc4xReedcSnv9ZET73xEriBSEXXFmp8uV6D3t3lqPpqf3YlmSLqQuGUKIaiROsG33qSDWHBn0pjSVdZhVJTCkyKHAfn8jKkhOfazoNc8N4ihMZik44GZHIZinN1Lij4z56430jjnXHVA4G82ex13DC4h83afSO0bs1rEvsGlJ5V7WdWmfqf2X90SYKrELmuS5P+VjJIzHTfSX/Oudyvjhr4bhe+XhPNz/d3UT8VT/o4hmakP3eU30xF5Quy3QYaVNSFqd6UoSOsAvTSv3NphWz2NZawr7uojHPubfjcXYFDqQ8lnToCMMLHQ7uPXx8Ym5aCSLxTv68qYLmPlHWlq1EIpulZMlidmkCl21kYtEa7WPr8NEMRJUauilzsN9Lwhj91zFoJNgRamd5XYxSd+pX5TskLzN95ZxfWZ3ysZLJrhazvKGaZfVl43rdoeAgW/raYTjGRWWNVDvyp2xFyE+aqaNb+VGfeSpsqomhRFk/1EnCTMO/24LXervZPjByIgUkVMVHc7yfIT0/Fh0X2g10U6Y74nzHERPNCPLU0Wbag6GMxCacnEhks5RLVbn9nHOZXViG8o7mEvvD+3h+4JkMRZZ8NklmsauaEtWNfZTduwKGn43hDUyd1IfPk/rHO9XOJVxQW8P7Z+fWhauPFqSqMJ5qGXUcO3zphp+E1YurzOI/517M4qLU9+wVhNPlVhw83fcarw3tznQoaaNFJboHYtzeuZGIkfproOyE5wdeYePQ5hHHJEnF5ajFaa9GUfJjg4AVpQkWl5hUu0ff2euZ/kfpiLemOSrhVIlENltZkIiqXFj4AZb6Lsl0NCnlU02+MLeXx1e9mw/WLxlx3DCjBCOHGWx3kIikfmvGQ6HH8Zdso2RRLtWLWnQHNhB3BqguncOVxZ9DGsefdyhk5/XXq4knFExRXSBkKZds5/8WfpGvTvkq5xVflulw0mZg2M3RDg+h6GEsUjsjKwGyU4KTXGrDsWNo+lBKY0mXck+EoBFix1B+bO4w0YhENotJssU55Rrzi46/cC3yLeFTDR/jx3M+SKGa+/tcRwyZvzSXEjUUFHms5NHC5dZQ1HQ0/Ld4fHeCL/0l9y5q+zY5Ce+x8/EZYZRx5OEtkX6+uPduKq+yKJ1SicMm9hUXsotLrWBS4XmsnNXHpsjDbAm8mumQ0uK2hhu5dsZMJk0eTvlYhUoNS7zvRdLlMbsjWJZOONaCZeVPC0hfYZwhdQe7wqPvYiZkN5HIZindkni920dP1EbcPD4jCRlBgvogi4qqsMmpn6FMtbih8UzPdlojFiFtrH+PRDhmo1KdSa19Wspjah0e5I3W3KtDbulRGQjArJrIWJvUjCpmauwLdhIf1CgyqilR0tHmTBBOXZ3LyQ111ZTXGfilHvx5Mht4MjO95VTbvShpaGZaZndyQVk1Cb+KqY9+AXHJNi4vm4NLtqU8nnSRJIu4FSRk9mY6FOE0iEQ2S2km/OmQwos9GkdDx9/5NkUOs37oFaxUNxRMk7gV4+Whp9gf0BlKjH1xDEaczPMuYVHR+Fbln46I3sNAbG/Kx0m2I+E4rVqEoorT2G3Hgn3rBqG3kBJJzMgK2aXBpXJTjZc+l4Y2Sn/tfFVkMzCiMv39qW+5WO6ESyol+rqcJMboEVuguvlo/eX41PxZxR+PKejayH+vIskUqb4J1lk894gtarOUbiV4sO9/xzzuT8jcddRLZIy75lzUH5cJjfXvkSymzBxiwZwgVUf6eDJ/1rol1brhx/EN1vFBY/W4X2ticdXG+1MQlSCcuaaAgx/sKODeZ3+NmSc38aei1BljR38Jz3SVp3ws04KIrnDHgWo6w6MvGNUtiY6oLa869bUPFDIYGhjx9TpnFf889eN8Zf/3iBj5sRVvPhIzsjkqaAzxUN/PiZr50f4EIKhZxIzRr46mKfGDF+rZtK+EQP87W6QIb/dyRzerH3gKzZw4H/ZCfvvm3NU8cM1y/u22IWQ5jzKoU9CwLEpX6QaeH7o3LePplsYfOn5JR7xtxLEVRUv48rT3cfXMdtxp3p7WLtv5l6mfYXrhUuzq+FoMjk3B45xCT9w36uZDPpvGuTW9qNLE+p3LNSKRzVEe1cFlFXNxysmbVHfJPhZ5z+f6qvOod6b/0fL24Bu0x1pGPWZi8VzX6+wbCDMQyZ/NIFIhrOk0+YOZDkMQkmZSqYM6t5NYu4KVhg0BsoFDdnBR6QX4sJPQg4SM4ZSP2ZvQeXpgmH6tH90auYtivVtleYkTSVMgzbmdKsHqCieNzikUKlVJelcTTffzbO8mdgePHXfEo1bhsU2nN+pK9z9VGCdRWpDlCpQiDHTCxvE9Tb2Ki6sq1vB8/3aiZnL6CnoUH4u953FxtUFfop+2WHoL3/eERvYs/DuLnaENNAWrAJHIpppdslNkK6RfC2BaCdL+qSUIb9NnBtjfP8D+Fg9WGhY9ZQOXbOeGmtW4wx2YY+x6mGyDmsH6oSjmGN9ju6JhlyNs7w2TSPMTHwmodccokj04SFZ9rkVCH+ClgZFlBR5bDW51Jkf8XowJcvOUq0Qim+UuL7uRPq2blwafPO7rcVNi57ANzUzeH5gMuG0SVc44LiU7H0v3xXO/S0MuaHQ3cGvdLfyg/SEC0WMYZiTTIQkT2D9t2AJsyXQYaeVUTa6a1INDNzBHTo6mRIHsZpFtMnuQRr11fa3XTvuwxbrg3ekJ6G1MS2JnfzHbA4/TPkrZQ7LZcaCYHgYSMhPk3ilniUQ2yy0qTqBac/FIdTwx8Ju/fV0CPCp8Z/bHeaBzLesGd53xWP1aN3/s/CE90U9wOJidVScHA2m6ok9wgwmT9b2RMWdmBEFIrbAm85t91fyl7/d0RHtSPt41FVczyzOPhCmPuUq/Nb6NjkRmdlSTJIsyh4YtTfWqCWK0aO38b/sGYum6kxBOS3ZmK8Lf1BeGObsmwnWTjm/BZVjQGzOZVSBR5kzOrKyJSdgI8kZgLX1aZ1LeM9mOxrZxNLYt02HkvYDex67w80QTXW+VFgiCkE5RM8bjvU/SHBogrKd+84Fapx2XOsSLA0+O2RXCQCNhpf/pjCw5sdsqaYvYR/RVPxMexca/zbyACod3xLGzCl1cXmqjP9acN60u85VIZLOcXTWoL4yzrOb47gQJU6Mp3ILbFsMuJ3f1aFtiF2EzO5uND+jNDOjNmQ4j78WtIJ2JXST0obzawUcQcoVuaewJbSVhpaftU8LS6UsMsDu0HSvLauIlScbCxpbhDkJ6PGnv65BV3ls3lyLbyHUXjS4H870ONH0YsUYgu4lENsu1DHoY0Oy4So5/tBEx/bww/Ef6ojoJI7l1o/Lf/hMF7oIgCBPBqwMa6/qz8xG6YUbwx47y+/Y/0JNI3iJkRZZxOxLIo5QrBDWVwXjqN6EQzpyokc1y/37wAR7qWsZZRWePeryxepDCweTdsUtIfLjmC9S4XLTFj3BHu2iQLwiCkO/OK3PhVOzsPXbyc/PBNNdCziu+km09MlF9tB6yOqUOUVaVC0Qim+Xipo4q6ZSNsXOr3WOwtHQpRwfreWVw7RmPZ2HxWngbs405REfZsi8bLCkp51PTF7Czp5SHul6kK96f8jFvmTqF2UVF/MdWUZ8rCNnuR8vOJhQtZedAmL90v5jpcHLC8/2vI0+gh7RuRaHC6SCom5jvaK81y3UpLqmRoYRIZHPBxPmtzWEOGQrto9foBKMOSpRaJrsmJ228Y9FDGNYwbjU7C9xLbV7OKZnJVbUNlDrSs8vX3NJiLm2YzDT3LGRyrwWYQ5W5dsFkJnmn4ZFLT/t9VMWLuGwI2W5hwTQqHMVIkiiPOlVHI500RdozHUbahIxhmqMH2Dx8cMT2s5Nd03DLZcQMca3LBeKnlANU2cKjmDhlO9I76lYPtxQTDDqxJXHbxliii9kFQRaXpHcLwlMViCsc6HeypHYAryM9NV2K3aLcV8x7qm7CIede3VSRy8GfP34pl9ddS4197mm9hyQplHkacCmenEzmhWwnoWDDrdhQpTP7aNrc6eNPLXv4c9cLSYotv3lUFfUESb9dsqNK9rz6uz8aPcp9Xffzy5b7GdD8xx2rczlwKRAXbbdygkhkc0ChPcGCYokfzfl/VDqOn03bPOjCJlnM8Cb3D+71fjvre7NzB61Nw018aNsv2dJcTiiWnqTS1KFE0fj47C4cWbpZxIlYukV0b5izfXZmFIxRp3ISxXaVPTct4p+mf5plBRckOUJhovPIpZxX+HlePPdjXFcz84ze618P/IpXBrYnKbL8pkgSW6++kavqJo163C27+ZepX+XGsq8w03VumqNLHZtSiMc5ddRjAzGTO9pe5H+a0r/xgzB+okY2BwzE7RwKeKh2mqjvuGl+oOt+6ormM7kkuQnd9uA6pDOcFUkVCwgbcb66/16ORfrSMubtew+xtyfMv069GCsHuzkMxRNc/ujzDIQc9MWDp/9GMYUFhXDAD5sCyYtPEIpsEjfX23BINrBO79ojSSouew3ReIfo/XkKKuzl3Fh1NWbUjqGPPtsqS1DrgleDA/g5g2tHlpnpruGc0pX8urlpxLHpBRK9hoUZEb9DuUAksjmgNTLAC337uaxi9ohudh3xdnS5DrejJKlj+o3UL6A6EyYWe4Ppq+dqDoaIa51Mc+wjYeReX1XNNHm1+8za1sQNgzsOHqZtsJe22MSppRPSI2bG2BPaSbsW52h4/H2sZ3ormOWrRaOKF3p6iJvZWRqVTSRsyFSztTfOQGz0dMCwTPZFhmmLHSSgp36HsXRYUjCN86obWVll59fNI4/XuXUKQiKJzRUikc0BhyPNdCf6mO5pRDNH1sJKkoVNkfEoXsJGKAMRZo5PdWJYJhEj9atLu2JBvnXgpZSPk63Cus5XNr8OgFO2UWzzYFgSQT2cdQ3UhdwzoAX5WfPTp/36FUVTeF/dKo6F4dW+dcTN5DXOTwcJqPC5iMdlYrpOLA3xRw2T/cEonRGJtvDo58Qtk8f7W2gL7SBh+Ec/KcdcU7WSiyaVUVzeicTftzuQkHBIbqqcOh5V3Ajliux8diyMENTDfO3gD+lNDIw8KEGts4YvT/4yDjk761pT5RszbuATDaJeM92urVrIg8v+gR/M/jKl9sJMhyMIvNqv8N97Q3x6948Z1sfIyrJYgdNO83/cwv+d8zmuq7owPWPaVNaUFfD04C9pTxwc9RzTSnDE/1jeJLEAbsVkd4eH/3qu/rhbcLdcxFUlXyKQKCc8RqmFkH1EIpsHolE7TlPilnkd2OSJ9ThkeuMQ9TXpK9aUgEfWXMUlVfVpGzMbVUxOsPyKADd8OIjHK2ZjhdN3SfH7mOlacsbv0xrfztbwn5MQUWZYpkVor87tBx/i6d71aRmzO97NL1t+lXOz12dqavUQpvcNnhm847ivR80Azw//hq8f+jXrB3dnKDphvEQimwd2Dsq82i9TXhBHzr11SCd0fnkD19fMGPO4lYAKqYbFvlVpiUcCFswo5P1zpnFDw5S0jJkKsmSn1DmH+d5zKLfVjvv1W7t6+NWmPby+y8581wpqHXUpiFLIZwUuO/96zXI+tMLL3Oozn/1KWBEi5vhra7PBZHcJ769dTmjQQU9kGL+enhIx3dLpTfROuNIgt09HcodGrAUxMQgYfXTE+wgZ0QxFJ4yXSGTzwObBGE93RfBrat5dji6tmcR7G2eNebyr34ErPokLStOTyCKBWiRz7cxGbpkxLT1jpoAi2ShyzmBpwRqqHeOfXX71WA//+fQu7n4mwgrPcqZ5JvYMtTA+imSnwlPGt25YydmzY1QUnV7SICNR5yw+476zmVbjLOKi8nns648S0SbWU7VM0CQFfZSeuBIyDrkQcrAzzUSW23/9AgBt8TdY1/Mit78xiUSe7URSUJGgpG7sD7m7mnwcGFK5sjY95QWWBYde9aK5HXin524NlW4l6E0coMRh4DrNJZ9hI8Cfen7GBfVNzCrOvZpEIXNK7DOY4bsGFJlPPanzwL7TS96KbR7+uOgT1DqLkxxhem3y9/Hh3S9z1at3cyCU3R1j8sHu/aU0HRtZ22+XvcwteC92yZOBqITTJboW5InueCe/bP1x3tU6hftVHGYj15Z+nicHf4VuHb/xw+bQX5g/YzpTzpoNG1MfjwXcsuUuZhw+D4vcXVhnWRqhaBOPDG1mKNZ9Ru91w4bHCOdgSzIhcwbiB3mx9RiTvijRFzDR9PF3HXn/yhl8/fLVvPqwE83M3Rm0q8qvY1XJJKb7Qtyy5TBmGp6rzfRex2Xl5RSoQ/zX4dHrim+peTcuqYa9fj9vhO4Y9Zxc45BV/rDooxTZCni+b3DkcUlhiaeCQ0GFhGhakDNEIptjPjVlCfsC/azrbz3u6wYGQSP/OtQ/2naUTb0B9kccGNbIK0vCiqAZEQotmf9asJKfHtpJbyy1tU19iTCJoT0UKJXMcl7IwdjLOdl83bJ0uiP7Obe4isUNk3DYEnx3/yZi4+y/2RsXtWTC+JhoxAyN9pG5xCn52JR5XD93NkVTy7ir4xmG01RTmgqrJ2msKAL/sC9tYwasPvx6ObJVMOY5LtmDboZpS+TPDmkSEkW2QvYNqxwOHH/zM809lcUFC5jkVlBy975oQsqv59ATwFWVszi3dDo1jsq0jCcB0z3VzPJWU+MsSsuYb/dqfxePdx4kYHTBGDMVobDCQL+LT86fQ4nDmZa4/HorEaOPWscipBz+M4okupjlKeTdNYv50OR5OJTcLZcQJgKJIqWGG6fOZFFpPUcGbLzQv4mIEct0YKetxK2BGmRX4Mw2LBmPYa2FQ+FWDoRGaef4lp54H62xJjoTu9IWV6pZQGvE4o2hAQ6Gho87NtVTxTmlswkY7ViI6dhcImZkc0woYWOx7yys+ll8u+kXI47LkoRlJW8Nqk1S+a+ZH6DELvFi/x7+p+mpJL3zqauwV3Nz9Yf4Rev3iJkjP7D2dHr44+Zqvn5LK2oan/YbmERJIEsSo+xTkTP8CZXemA2f08LK4X+HkP9UbJxXeCv10wY53Jbgj3dlOqIz98yBUp6wAjzRl77WYdFEO68Nnnh3vif70n+tTzXNhLta4+wJP4VfP/7fX+NKMMnTyRf2/jEzwQmnLXenkiaonzaZ/PZIgvW9IxM6RZLYctWNXFaTvBXkCUvnozt/yr5QM4qcmSyn2G5wRXWMX8z7HIsLpo84vj+8g7s6fo4+ZHBl0UdY4Dk3PXHZbKwpLeObM77CDE/utuK6t+Nl3rP5pyxfeyeB06hVFIR0cagW313Vi61ZZf2u/dzXPfJmPtc82fdnnu1/NNNh5D1F9lDimcY35yo0jrKWy+NMUFYgFq3mIpHI5pj94fUciG+iwxr9brprqJIG9XxmuZLXjipsxHHaYrht2slPToHBhMTTnRLlDgXXKMVLJgYJ4ihFKresibBienoWvAUNjQORIS6d7qfck7uLnRKWTtiIJzWJvbF6IT9ccw13/r/rsauiXEFIDtOS2DdQzHf3beP+1t0krNxd3Coj8/6a66h0lKFZmbm2TiSzPEV8tXERb/S58SeOvyZNc55HtX0WcoYma4QzIxLZHDOsNxO3BrCN8pOzLImuoJsqWyNT3A1JHddp06l2u1nga0zq+54KvxZlXf9RdgSaxmwUrhmwtcNJY1mUmsL0zCqGjQiHIoeo9YWZV1jJZFd66pZzgV1WmFRSyE3nzOayhjrKnLnb4UHIvGK1mmK1Ct00ea6zk6e7j7A3mL6a0mRzyy5meadzdcMUKl3utI1rk2xMcU1HkSZeVaFPdTHLXcv6gRaGteMXqC4saKREraE3Iq5TuUgksjmoWilnrm0adsk24thgwqTcqVPrSW6xuqqaLC5q4MtTr0dKc7PokNnP5vCD/PfhR2gK96JKI2f4QjGJf33ARUuLhBZJz1111OinKfQcQ0Mq15edzzWVadqUIQ1kJOzy6X/Y3dexjZ8fWYcWiXP7eatZWFqSxOiEiWaR7xwW+c7FtODXrffRHe/LdEhnpNJRyS0172b1lG6K3enp+qFKMmX2Et5b/X7ccvqS52zh1xS2DDl4fvBPDOnH3wRdXCnjw83rXaUZik44ExPvtiwPVLskLqwo45raf+RL+37GsPbmLKWJydcO/gQAK8mrdvb1luAr9lFqDzJW94BUUiSZh5Z/EtNys36gie8deeS44wkrwiuBn/H9l2/jSCR9SZNuwr9uKqPc6aQlnj+P0BcUNPLlKdfzsZ0/QRul7dmpeGVPK2Uf/AkYFpqZe+3JhOxx24V91Dlm8cu1X+K+3h/mZLu7t2uONvPNw9/hP5ss9DT9bXx08iI+P205bnsnf+g0CE7AhfljzdwdDTuI6xK7hnO3VGUiE4lsDtoeOobitPGTFZNxHDThbeVV+mkmHSdzT8cLPN7rQkLPyDa4pmXybwce59ONqyh1jl6PamHw/MBjRI30FeybmGwI3I89JBMzc7eX5TsNJ2R2Djm5c9XlfHvv6+z2j92mZyyWBXFtAn5aCkn38NZCHLKfF4efzvkkFt6cCtAtI61zAh6ngeoy+b+9JYT10VO6peWlfHXRAt7/wstoudyKZRSt0TbuaL8HY5TWWtVOjX3B3ewIb8lAZMKZEqUFOag/MUBz5BgFNg0pTU/5m6M9dMf8FKolrCpaiEdxpWfgt1jAdn8bQT2MW/FQbJs26nk9iXacip1ZnrmoSjr2zLbo11voTBxjUM/tx51vN6wH2BrYywULariiYSYLCmozHZIwgW3t7mRj52G6Ey2ZDiUnzfXOpM5VRcyM8XzvfmLGyMVlS4tquapuOudPrUJO1wdLGoWNCEejzcd9TZVUFvgWUeVUkeRBho2OzAQnnBGRyOYg3QgRifXTN+jETOPWjDO9dXxq0rV8uP46Su1FaRv37QKahmYWUOtazlhJ6hzvTK6uvJxqT8OEXNSQDMN6L6+HHic+Oc67GudzSfmspL5/od1Gkd2JW07vDZGQfAo2nIqLMq8Tt+JGGaWG/Uw1xTZzJCZmy07X1ZUXMsc9l8FojDeCj5GwRrZvvKl2Ph+YvATDM3GumQ7ZwU3V11Lp9GCTc3+mf6KaOL+xeaY/pvI/2ysIaum7F5EAWcrs46ZvHnzupOdM9iR4T53JJ6adw5pXjtITF61tTkdMM5j8z3cCyX8C+tCVF+LWp/HUATv/2fTjJL+7kE7TnKu5eMoyfvy5MN/5eTkPtDzKntDOTIclvM38wgjhWBEbusfurGJZEm09bjbvL8ZI4wRJJjkVkxsn9bGtv5hO0bEgZ4kZ2RwVMoZ4cvC3fKjuBhb65o44XuOYzA0VH0NO4o94q/8wXz94Fx1RCS2LL3QvDA3w486jVE4Ko6j5VeeVbhapKeMLDLiom+vl5n+u4mzfR3BKY+/5LmS3fnrZNdTGffeV8Mdjd9IUOZTpkIS3KJKDWb4bmFZvcdDawO9a7x/z3J8e3chtO+/kp8d+l7K1FtnGtCCcsPPrlr/w0sCmTIcjnCYxI5ujTAyG9G7mFxRyJOKE4PHHi2x2lhVVcSRyNk2R3YRN/xmPGTZiNEd6aQlrWFIBijyMYUbO+H2TrTfWz77hZnqHVlGhLsSvHCFs5G7PyXz0l5Ym9nkVnKFJBAlgSmYmmmEIp6lAtfP+ybO4u/kAYb2HIwGJ+/cP0BbtEM39s4hTVri+uhqHoTEYjdKTGLuOvzMWAALpCy4NJOCc4pVEDIX++AAt8QPHHY8ZOn9o3cK+UBt+XezqlatEIpvjKp0abnXk3bNLgckeicsqz2Owo41w7MwTWQDDMjkc6sWQnCiyKysT2bg+RF/Q4vWmlRTKs3DLwyKRzTJ3t+6hoDtE8cYQ/VoTNsmBQ7EBBkEjvz5M802hy878slL+fdlKnug6Rlt4gE59gM7w3kyHJryDU4Ebq2109cfpDoxWAyohSyrldjd+LULMzK+bEAmZKyouoDWssStwYEQiGzU1fnFsQ4aiE5JFJLI5biBuJ2qMskGALtEcVfja+Ud57akYbV3JGU8nzqvB25PzZinUFR/m1h2/yXQYwgkEEs0EEs0AXFb0aRo9FRhSP7e3/yKzgQkn9PHVs/nejavAqaKslUBMZGU1RTb5/O6HaQqPbKEnyw58zkZ+M/cKfnL0aV4e2J+BCFOrwGayJfgUWwL7Mh2KkCIikc1xXzvwByLGyBWoRyNH+UXLL/js1ZcxygZgOc8lqzxw1vvYPVzAK/37ebb/hUyHdJyLit/L2aXFNHgH+MSOBzIdTtZbF7ibV4MKjNLjUcguO3a7+Xa/g9+3/4H2weDJXyBkxDU1U/mX2SsodMTHXKQ7p8DDH89eTCFhPO3p2do7nUxMvn7w1wSNkU8OVcWHXS0lEm9Of2BCUolENscNaKM/htUsjf6En6d3lhKMVaAqEXQjfz50LGSiehWLSgy6NYln+zMd0fGao3uZp8+g1Ca2Zj0VUTN/fjfz3f7hFoajcZoDogQkm5XUupm2uoq1TylEjNEX/dpliTqPjW/v2MT+QJZdRM+QXfZSbp/LgNGC/o52Y9NdS5niqaLKI3NHS3NmAhSSRnQtyAMVdh/1zpEJk2FaPLQ7ykDEhizZMxBZ6hiWxesDQ3htYSrdoMreMc+tdnqY7StnqrsSOeUbJLzpSGw3e0P7OBQa/45YgpDNOuOdbA1sO6P3kCUbquxJUkTCO5XbS6koKUapk3m2K0BIG1kfW6gWUGYvJ6Yr/LF5L0fDyVlHkS0U7PjUGlTFg/SO3sbzvHO4sGQRl5Y0Zig6IZnEjGweeG/tSqZ5Kvj8nnt5+9Jv3dK5vzv761lPh2Zp/OjY7Uz23EzcqKPMu5juwPpRz/1E4yJuqltMs9/DzVt/QthIz37aa/v3s7Y//2rOBOFMSIDHUY3X0UCXXyy0SYWbq9/FhVYRw1uOckfHQ6Oes6ZkNZeWLqOpO5LWjXXSJWoOciD08KjHVpQZLCrQCRqilCkfiEQ2D9zRtY8aR5z3VnyZv/T9DM3Kv1qnsfzL/ocxkYiZY1+QhmNOYorKOWu6UHeaogxTEDLoyU9cxtJJlXSG4iz+TqajSQ2b5GF2wbs5EHyIRAbKZnYP6Wx7o4n9654d85xn+9by4sDLKBKE0nRzny0mFQXYG93E1/e8lulQhCQQpQV5IJgYAKubq2ok1Py7sT6hsJEgasSxLH3Mc57r28sdLa+ixE2uKr+GWkddGiMUBOHtXAGFN3Z1862n38h0KCnjU2U+0VBAgZrej1ibpPLhundxY72PmQUxhmJjT2okLI2wESWgR9MYYXpcVDaPW2pWj3lclix0Syeoj1woLeQeMSObB0wzhmSFKHdayBMskT0VB0LduHpNunsXcl5pAweDB+iYWBMQaTe7pJBSu5fBkJ39oWYssdvBhFXtqKLc7aDIG2NdWw+bjvVxyO/n4YPNmQ4thQwkqQMY+wY7FVRZ4vqZ04mHNZRQesfOJksqKpheUM59naMf3zXcT08s+3qgC6dHJLJ5IqTJbBl0oFsikx2NP2rjxX3lLC0NUdaVmabfMjKyJGFab+7Mls++tHQOl9bM46Xd5Xx254+IGHGRzE5AdlnhiupLuGZ6FStntlD3iwf56qbNmQ4r5Qa1CJ/dNXptaqpISDhVhYtW9fC5h+ys7c2vzQ1OlYRCbW2EaRV+eH30c/57X/4+DZiIRCKbJ9piHXzz8PfQTvCIfSI7Funkc3t+wHmFn2JPeOQGEulwdeUaVhat5LmuGBuDv0Gz8u+R3l/ZphZQd1EJ773ZTexfv8LPD/+JvaEjmQ5LSCO7pPDKmg8z/UuL8RUk8D/XnumQ8tqCgul8rvEGAvt7OdD3DO3R7kyHlBGrfB+lo6mMzmMT898/EYlENk9YWCKJPQELi4SVYGvoUUJGZvolbgu2Insc/Pd19Vz9gMVQHpdn/eiprbyxO8DNDZdyeEglrIty/AlHAreqMPR4B2sD7dy+9WUMKz9n5SUUSjzzuaWigSOhFp7u25n2GNwKlNlNvryjj8PBGBajbUmb//ZHnqWr2waI+rGJQiSyE4hNUlhVPIut/qa0taDKNoN6C8tLKqly1hCMK7wycDBtj7y74300h+3UOSYz0z2H/fox/PpQWsZOt92t/Qz1SigdlewZkvHr6W+eX+eYxfTpDqrrVSy7g2MbQxzytzCo5Ve/zGxlWiZPdR+Gzha2+7t5oSNJ+2RnIbsic8PkOq4oruW57mGe7kt/DGHd4mjIYG13M8OJPL5LHoOCnRJbI9O9Ks2RLjrjg5kOSUgTkcjmIQkFkLDesdDArTj4x6nv4kt77+JopAsrz+s0x/L+yXO5qHwWrUNONg4eRrPS833QjSBDgX5e3+riLO8lDMefydtEFqA91scvmh/J2PiLPBfwkcvLuOgaD56qSu68tZVfHniAQb9IZNNBtyz+Zc9LmQ4jLdyKzNcXlBKNBFk3GEr7+DbJRn9c5bGOKAPhvRNyNtYhe5jvvYKPT3ZxV8ezdPaKRHaiEIlsHqrynIWETGd443FflyUodSSYU3A1UXMrnbH8X3QxmnsOFdDSX8il1emftWiJ9vPebf8LIBY/pdgTg7/mqR/CigfKeemjV9ITmER0Yt67CSkW1WX+Z8Nk/txzO72JMZbKp9AlpdcjIfFk/69ggl5XCm0KtzYUUGDTRF/RCUYksnmoP7p71K+HDJ2vHTnE3qHd+BMZePaVJfZFXiFBF6p8CXM976Ep+hIhoydt4/81gf34pOVUOLx8+9DEmLVKPwvTgl3dg5xz+xN0DzgYSIhZGiH54macB3t+x6DWl9Y0UkHip/PfjWXVs224nYmaxAK4bTqrJ3dx6/q17A+k73ouZJ5IZPOQZo7+aEs3DXYMHySY6MScQLt/vVPYHKIldpR1g5vx61F0KzP1wlMK3ayurSRQMYffvLofzZxYH0Ky5MCuFFAs19Kr7cdI0c8hnNDZ0pGZBX5CfrtmUj2KVcSOHhvN8W1pH1+SJFZPLuCRo8c4ED6W9vGzRYOzjuVFU/GqBsciPQzrx/eIPbd0MrIk8Ur/xP0e5TMxA5+nHLJKud133NcsDPzRQxM6if2rYb2PTYFnibGNUqdGsd2e9hgSSpDaSovvX7eSSb4CnHJm2oJliiI7cdrKqXUsQZUcmQ5HEE6ZBNR53fzDgll8fPZyJjuWvPXVdLPQvT1sDL7Gq0PbMzB+dpjqnsqKgnPpDdoxR+mlfm31bG6onpuByIR0EIlsnlpWNJm7l3wUVRI/4rE4ZJUX1ryPbVffxLeWLEv7+N/Yvo2Pv7oem9PGi+ffzDnltWmPIZM0w89wdB9bgv9H3Ex/VwNBOF0OVWHXh9/F+bMr6bMf5OXA78jEY33dslh23xM835q/HSFORXNY45lOje/tqCCojfzMkwBJmlhPvCYSkeXkKaeqU1eQ4Naaz1Jln1gJ0qmKmzpXbPgTGzsGKTPnc0HhR9Iew5aWACu+v4UjA25imqj0EYRsN89Xx6/nfwwrYOPjj77GP7+4Ne0xXFt5Pt+b/Q/8ct4nccq2tI+fbdoS21gf+C2PDfyc2NtK6xRJ4rkL38Wsgul0hN0ZjFBIJfHJmaeORcL8rrWZUvtZ2Ea50E1xT2aKayqtYZ2j8dczVieaSRbQEgnwcqeN6W4fF1YkeCnNnZnCiRh7O1v4jaZwLCIWIglCNlvom8u5pTOY6vHx8H4H27o0esLp7X5S6VjEsqoKZhabPNISxpjgE41XVZyFYXrpiEXYHRq5J22FWsZj/l42DLdmIDohHcSMbJ5qiYT5Q0sTNunNtlvvVGYvYZ5vFucUn4VDntj1iRt6o7SGoywpMSlQKpDTeH9nWToxrZ8/dW6iIzactnEFQRi/ldXTuKhhJi5V4/7DMboi6e/ntqhwPguqPfhKenmy/zB6mvpgny6P4qDBVYZN9iKlIOW4snIh55QspMYxedTjPSEnrw61sSXQnPSxhewgEtk8ZZgRIrFmnIo56g950/A2Hu69m39eEKLQNrFv6beFn2R3+BWwXKz2fRSPUpLpkARByDIScPaqIBeeP4wkxVkX+D+G9I60x/HPM2ysrJUx3UF6g5uyfvODZUVT+dHcj1BVsBJV8Sb9/es8ETq1jTw78KeRBy2JDb2FtAeGiGuiJVe+EqUFeSxhaXz36I+IGdETnjep4BLC5g78iaNJHX9N0eV41AKe7n8gqe+bCi8OHGBHoJsbK/6BzWGZYHZPcghCSlS6lyJLNrrCIx/RTmSyBDv/4TrMnmruemKA/9jzOHEzvRcJm+yjoeBC9gxX8uOnXmR9DnQpmOy+kFm+RqrcAboC69HN5HXMcStePlTzaTAkwnrziOMzPVX856wb+Ifdv2ZIE4tJ85mYkc1zYSPMdNcKJjsWjDhmWhCK2/nCfA8rK5O/YGBWgcwVlZW8r+YqFCm7W0slTJ1hLUJMt7io9Dzm++ZkOiRBSLtAog1/vDnTYWSVSYUefnnFSupVN8+07eXOo5sYTJx4ciAVvIqdi4oa2Takc8AfYyiW/W0U53lLaHCW0hF2YpgJktnZwaVYXD8lzoPd69g42HT8MVsVTsc0+uPFhPRI1pdfCGdGJLITwIKCqawqnsVcX81xX48ZBq8NdHH+ZItpxcnvgRg1+3DbAlxdPQdFykSPxfExLIOWaDNnlUxiVfEMJrlEtwdhYonqvUT07kyHkVWKHS5unDSHza0DPNt+iE3DzWmPocRWxAxPPfM8RewNttGXGH2GUUKiwtaALUv6Mkv46Yv38vpgch/r+1Qfje46JnsTvDZ0kKbw8e9f5ayi1tlIf1zN8sILIRlEacEEcG55goWFDfTHr+eGLb/429f7EiH+YfcDXHLBjSguBRkZM4l/9ne1b+ZorIM7VlyOTVJIoCftvU+XjAxIWFgjass0K87a4Tv59Kx3M6dwCjXOBr5x6OcgLoWCMGFFIwq7dxZww6Z7Cerp7VDwV2cXL+KqijVIksbByBP49ZG7N0qAU3ZwcfGtrB26k14t86v0H+99PiXvO9c7i3dXX8X+3gQJ/finfTIyK321rC6eQkjXM7JNhZBeYkZ2AtjY7+ZwWKHaFx71j/rYNh9zoldyQ+WHkj62JIFdkfl0w1dodE1L+vuPKxYkPtPwJT5R+1UuLL5xzPPev+lhnh1+gaun+5ledD2qLPoPCsJEdSjUy5Wv/yJjSSxAoy9MQ+FhvrD3e6MmsQCrS6bwxMpPMMWn4lDyO32bUhDhoto+XuixE9aP/7deX/4PXFk5k2L3Pv7j0PeImROvteREI2ZkJ4B1Qy/gss2i1D591Aqlr+99gajhpD+e/Jqrff5BPrbpeZoDTnrimd19xsLi6b7HuKbybGb6ZF4YGv28mGnQHbQzHCzmO4tMPvW6RF/mPsOwSy5WFbyLsK7TkdhHl7Y/c8EIWc8hK3x//iV4nQbr+9v4w5EDmQ4pp1lYxEwtozE82X2YzUMdxMeIY6H3HM4unUx1UYSHdq2lP9Gb5gjTZ577QlRtCk+123i89z6CxvHNvz8wb5h5FXYOh8IkrMz+3IT0EInsBNAZb2N/sIRZ7rlcUTWVDf1tBPW/J62vD7WlbOzBRIznu1tS9v7jdSR6mKZIMTb5xIvPjgT9vDbQzmfP9nJVWwPrujs4Gs7MyldVUpnsmkVDWYAN/e10iRJG4QQsQDNNEqaBbk7s1nr54mh4mKPh4TGPm5ZJTzzIi/0tHAwfwLDy9+debW/ARi3HgiGOxQ6OOD6nIUpvbIA3BtLfGk3IDJHIThDNYZ0N/SY/O+sSbnj1UfYFeifsSs4nejed9JzN/kP0yZ18puo6/mfZKr6xdRO/adqThuhGY6FICd631E9if5SXRCIrnEDCNPjK7ucyHUbOsUs2VFlCkkzCembr+SVkZEnFJknEzQTWSVb77w6/yu4w3JH5stiUsysGqpxA4/gniDLgtdtwlkvc+coRfrN5ZJIr5CeRyE4Q3dpe3ogcpaL+Br4w7UM82LqJZ/pezHRYWa11OM60H2/ltRvm4fBkLumPmCH+0PVdep+4jZZYUcbiEIR89vH6j3LlFAeVxc0sf/ixjMZSaZ/HXM8FXFlVyHeO/IK+xEBG48kmTw3czZtL245P7qcVF7D5lqtRohJmNH9npIWRRCI7gegGHD5WyixvnAZPHPqOP15mL+O6ymuZWxDj7vaNbPU3ZyTObGFaOoFIM3dvuYAF7lV8e14lX9vzckZisTDZ6H+YuBnJyPiCkK9UyclSz43cfImENyaz82BFpkNiQGtiS7CfozGFYc1/8hdkiU9OXk6Jo5j/bT5ANN5GMvvG/tWbs9OjvK8pYYRU/ndbKZvbxALdiUR0LZhAYobOPUf2EUzERv3Bq9gpUuppdDXgUz1pjy/7WBhmlLUdB+gMWVTbZ3BO8TLUDG3uMKR3EzH/Xqf7gblTuLR2IdPcszMSjyDkOpdcTINzLjdOLsWKOtnaPchTHYcyGtNllY2cXToFu1TIsWgbmpX5toWn4qKyhZxb1shMXyGmGSMVSexYprmrWV00l2jIxkudh2gLixnsiUQkshNIxND40dG1HAok0A0PHuX4ZDVuGrSGAwxrCg7ZhU91ZijS7PK6/0Ve7jtKc7CID9ZdgU8pQs6ChxnfPHsx/zD3fNaUr8h0KIKQcyQUyux1LC9azQ1TImzdKXHfjmP8uWtdhuKBKreLz81YxC31q6hxLMpIHKdDQuJDdRcyyV1FxIwQ15LbNcEuqRTbxp5cOat4KjdVn82xAY3doZcY0FO3gFnIPiKRnYCGNJWFBav4dMPHjv+63sOf+36MRZQvTrmYr02/OkMRZp8XB17hwe4/srJ8mOWFH6DUltmeuAChTpULpg7xgTWZbWsmCLnI6ajlnKpy/mkm/GFvPd89fC8vDazPWDw+u419N1/P6kYvAXUnO0P3ZSyW02EC/3cMfpKCNVbLiqbxy/mfemtDm5FqCkP4Co9wzit30p8Q5VcTTeanlYS0+3nzAyiSimaOXMBkAfsCKnW+GBXeiXNBeNfMer6+eglHdhXyT3sfpyU6ssnskfAAN75xD3+65XKOHT2XF45M5dctT2Yg2jdd/8rTXFBxPh6lMmMxCEKumq4uoS9Qw7/tD7Bl8D6G9MHMBmRBIqLyD6+vZ31Pbt2cWlh8bf8dhA2IGsntRz7bdQlLfFOpcUeRJGtExcIXGt/LfEclh3uDSR1XyB0ikZ2A+hJvJmluxcWVFefxUv/rRN/a/cTC4pXBjdT5phEzs2O/7rSIe5FDDaycncBzRIboKKeYBkfCgziCNuYW2Ris9uLrbiQYbyad9WB/dTQUQDL341W8aR9bEHLdgNZEwOgmakXo1/pO/oIUixsG39+9k9d6e+iNjb0Dy3uql7Mz0MqhcE8aozu5znhqbgQumqRyVpGdlrDCaO1xHVIpB8NwJCrqYicqUVowgXkVJ++uXkOJrRJV+nvSusm/gQ197ewdnji7onQMWbx8QCPsC2PK5gnP3Xo4BkaIaWUSC8qmI0uZ2w7ySOQwO4PbMza+IOSqjsQemmOv0xPflbEYZMlOjctHldNN3DT54b6ddEZHPgmTULDLTuqdpZxbOpNqZ3EGok2/YrWUCxoMppcHeX0gfNx0gYRMoVKGbirsCQ2wdjB7Nt4R0kvMyE5gDsViYVGQJQXXs9X/Cp2JHX879mDX2swFlgFb/QfYsfsYv2q7lpbA2LOrFvDhbffzA+MCbp48lT+fp9B4v0RsYu4tIQjCaZPwOCfzg6VzCSSG+dSml8Y802YrZqp3Ct+ffhEf3P5ThrRwGuPMDBmFW2s/xSRPP/uC+/hl6/H1y07ZzbVln+GcsjgD3ccYCO/ITKBCxokZ2QksrMs81VnI5ZU+Zvnso54jobDU92EKlNo0R5d+hhXn6PDjxI2T92381t6NfPnACxQ1yOz54LWsqc2uOlUFG9eUfJ5SNf9/boKQi+yKxJYvLeW8qUUnPffWunruXDqPORUDqPLEaPavyBafv6gZNWGntbNwxPECp8F3rm3hOy138WDX5gxEKGQLMSM7gYWNMA/3PEWhzaIpPPrehqoMn10gcV/TIrYPFtCn7U9zlOmlW6MUx44ioCd4rauHLz2/mUnyuXSHRr8RyBSbCrddK3N152xePGbj/kPNmQ5JEIS3THIVcWvDEgr63Ny5fz9PNY/9WPyTk1ZwzdQaXKVhvvHGLkJ6chdTZaNitYRVxWfjiKrc1bqLJzuP//5Mc0/iwooFqGGZ4USYSJIXmAm5RSSyE1jcjLMtcOI7WVmClRWwu3ca3WEz7xPZ8WgPRPjN1kPM9cylK5Zd9cSSZFFcOcRZvmqMRJQHm7rfalIuCEImTXIXcF5lPe+fOYs39nfywOEjbB0ae+HWNbXTqPCYbA62cmfzxLj+Ftt9XFi2mJ1dLTzTdYTNw+3HHa9yVLDAu4CNLbuJJERd10QnElnhhExTYl1TJcU4aXC52BXKdETZxcJkT/gvwJsNzWVJwrT+uo1i5sQ0i/f8qpU7LipFlj247HWEY00ZjUkQJjoZic/PWML75kzDOcnPkh88QUQbe+cuGZkCb4Q/HTzKjw/sTGOkY5Pe+s/kxItiz0ShzWBlaYgP7eqiI3D8DbiEhGZJtEbifHbPYymLQcgdIpEVTkizdL6w90fcUHlLpkPJelfXNvKt+efy1ddKeT10LwEjc+1xLAy6/Ou49rE3E+uYkboPHUEQTs3P5n2GSy5QabZH+cz/JYjpY9/wFtu8/HDOp/noxjtoi/anMcqx1duXssh3Djc32PjS3tvpS5x8PcHp0EyZ/piNLv8GYsbxiewnGj7A4oI6HEr+L3gTTo1Y7CWcVMxMsH7oZUypg3+fcSmZazaV3fqjLvYOVfGvt1rcNudiVhQtymg8FgYRXSdm6JDC2RNBEE7N04PD/G4d3P1cnMODr2Fao/9dTnFN4/KyawlpboKaQcLMjr/feYUy19XaGE54MK3UfRK0Rvv53pFH30pi30z2FVTO9t3AWcVFDBpN/Kr5qZSNL+QWkcgKp6Qt1oJqG+aaSZOZ75uFS3ZmOqSs0xkJ81JvOysbI1wzr5qFtdUosjvTYQlC3lNkN7KUXQsuR7PF38QzB4/w0oFmQlo7o22kUqLWM8U1i+meRjb7DxEzs2chk02WkCWDN4YPETdTty4goEd4degg5tu+P7KkMNk5h0LVxUBikM1+USolvEkkssIpc7k06qsTfKrxJsodE6Mh93i0xFr4S+efGT4yzFmLhlg8T6HEI9pfCUIqKMg4ZRseu0qRqxanrSjTIZ1Ud/gNdoWeYF/0lTHPmeVawxTXXEz83NVxHwE981uvqpINl6LSElZ5uD3GXR33ETLS/2jfY5Poicn0x0XqIvydZFmjbfp2vEAgQGHhyD5uwsSywLeQ99Zfy+evOMa5dz/J9p4M702epWyyzF/Ovo6zphQx4B5k7q8fyXRIgpB3LixdzGdmXMoVV3ax6eUyfndgE/d0bMh0WGdMQkbizcWjRhaUBDllNx+u/jIfnD7Ao13b+P7BzVgZiMuj2Hl21Wf43O4/s9PfcdxsrZC//H4/BQUFJzxHLPYSjiMh8b6a91LusNMRa+fBrhf+duxI5Aj3tv2Jdx24hGJ5JYWOg/jjR1IWy1em3MjLA7vY6j+csjFSQTNNvrZrHZf2L2Bp6bRMhyMIeam2KsbZSwYxu+Anh57m9f7OTIf0Nw7JwzLvdXxmVT/DAQ9bOhL8oe2JU3qtlWUpmirB0hLoDBXRFXFlJIl1qeWUuubw+d1/4VCoN8u+Q0KmiURWOI6FxZA2zJraWmoMHw92/f1Y2AhxJHyMew8dZGVjCV7vVN5ottGjHUhJLBdOKUFxTEe3YGcgt5LZPYF+sI7RFch0JIKQH+yyj2JbLWvKIZCw48TOo8170IYs3uhvpid+apuZpINDVllZPJlzq2xsSAQZTOTmhaDKUcLSwmnUujWe7z3KvkDyO7H4lCqcko8+fexrvGnpxIwg24JtSR9fyH0ikRVGeKrvaa6Zcy6NTheFqhu/Hvnbsaip8e3Da9lwwbtY0jONeP8knh1KTSJbWzvERdIMrHh5ziWyAHuCx9gTPJbpMMbNJTuQJYWYaWBY8UyHIwiATJG9gmUla/juItjW4+SRzr18+skXTvrKdJIlO3ZJocTuYk5xnEAsxrq+PTzaczDToY2bU3Yy3zeVW+suAWmAx3pe4kgk+W3AGpzTqHZM48WhZkxr5AKyArsNCNEb2Zb0sYX8IBJZYVRrD1ZwTvE8bl+4kPdv+xGadfzuKYc2FbCkROVrC/w8O/a6hTNy6yMu6m02xMYt6fXxhiuocDZyZ3crTcMPZ+RRoiC8nctezQWTKrh9TQTFYfHDrQ/zWldfpsMaoc57HheUTGGpz8OXDj9BaNdRTCt7ug6Mx03VNzHXO4XWaJivbvtNyh7nXz89zNWT4tz4yhq6/OtHfL9+e+HZJAyTW59fn5LxhdwnEllhVGv714LjIP+7eDm/MT7ID5qeY1/o7zVoXz/wBDfULODGmsV8b/Yn+G7T/QxoyX18dij4BMckFYuxd74Rku++zhdZVDiFr04+h0/vlNBEOZqQYTGtl7WtCS5+Mko03sIRf7Y9qpdxOxv44TU+ZskGHccGCUWPjTrDmCsuntpHmVrE003OlCWxtzXcwmJnIYODw/QG3jju+yUj86lJH6WtvZhDYdFqSxibSGSFUfl1P/2xArSYjdVTFX7fpcDbtqdtiw2zPxCjpcjFxbNMftoqQZKv2TFziNjJTxOSrD8R4ECwhQ0DnjEbtgtCOlmWxlDMz45ei4Q+lOlwRiGhSE5KE3ZaI/083NmMmaNlOQoyl1WsxNIqORAc5vXh5pSN1acrrO3tIaQfQTP//gGjSE68jhqqHVVsGzzEnqBIZIWxiURWGFMgZrG9Q2P2nDCyDSQULP7+nL89qrE1EOLqmiAVLh8D0ThRc+Kmngp27LKLqJmabRvTqT02xB/bNmY6DEH4G9NKkNCzY6vWt3MrNoptXoatBAePxNgx3Mrvju3IdFinTZEUriw/nyP9MTYP72ZzYF3KxtoUaCc40Dai+42iOClwTiViWGz17+RQOPdqjIX0EX1khROSUJhWdD1DeguhRDuxRNdxxysdBdy75NMcCjr5c9daXhiYuMlPtW0Oc9yX8IL/p4y2Y48gCPnnsvLZfGnqBVzx+q+w8uDvXpVs3Fr1VZ4ZuIfORGYWq9rVIiq8y6m3ZnEw/CSD+tGMxCFk3qn0kRWJrHBSquzGtHQsyzhuRhZARqLM7uP7c97PjmGFZ3vb2Bd5NEORZtZ106fw08vXYDRKXPvjx9nVln2zR8lSY19AtW0eW8P3ZjoUQciYr067mhnu6XTFbPz7oe/nRSIL4FEKiRlhjIytT5BRJDsKNnQriinWSUxYYkMEISl0MzLmMROL3kSAezs2MJCw0aelf9vCbLFvoJ+fbd7KV6Q1fKRqCU/Emnih7+QzCRISa4ovpl0L0pfoJpBoTn2wZ2iS28nFpZWcpV/EPR0bCegTt6REmFh8SilTnUtZUGxxLDzA7kAvAwkzb5JYgLCR6fIoE8OKYYhVEsIpEImskBTP9u3OdAgZd2gwwK82H2C5NZ2zPVOIl8u0RoIcDp+4TZCEzKriszgcH2R/aD/7ciCRtclhCuxDVLhqsUniMiJMDC65kBp7IysLz2J5icSPjt7D3pB47C0ImSQ+gQQhiUKGxk1vPMRvF76f1cVzmOau491bfnfC10iSRa3LYKq3jHKllH2Zngw5BesG97JucG+mwxCEtGp0rOasonlcUGWxaVAhpEuZDkkQJjxRIysIKeBW7CiShGlZhI2TN0R3K04ADMsgbuZu70lByGduez0uWxGqZOGPHCVhxjDFhiGCkDKiRlYQMiRyCsnr8ef/vRbMqSj8YOnZ7O0rZstgK5v9O5IcnSAIpyOu95Mw/IB1wrUDuWKSu4AvzljC13ZvIGqIBVVCbhKJrJAyFfZKVEmlM96R6VByioREkd3ByuJGiu02nK4u1nf3ZDqsM+aUvBSo5fRqmWnpIwjjVW4vw6P66EoEiOuDGGYUiGY6rKSoc5Yx11dJoc1BKgskyuwepnnK2B1KENX7R+x2VussocpRhGZK7As1o1tiT3JhfORMByDkr9XFq7is/GLsYjHQuEQNnQ9sWEvUaOeD00u5fc05uBQFWZIhpR85qVVhb+DcwhtxqypOVcGuKCjiXlrIYssKF/Ouquso9SxAkpRMh5NUF5ctYlXREj66+VkiKZqNtUkyZ5c08KP511DnXY1N9o4455Ly+Xxjxk18vvE9fyuxEoTxEDWyQsp8c9bFXFoxj7awzAe3/5S4KR5djYcqyXxi3gy+f+5SwkGLG17qY1dfE8F4bs5oXl45nR8uuoS6xX4kh8Rr+wu4b4PKHzt/munQBGFULnsVquwmGGuGPKuFVZCRJCmlM6A/W3AV51fUo0sxlq29C2OUsT456VxWl0zl4zvuQhOzscI7iBpZIeV8qocP1V3Pne2PENBDxx17oVdCVXVumhVG3pHqOBx8c+bVeO06T3Uf4JGu3N/SULdMHj/WSk8owdemXsNna908JCd4vDtKLNGd6fDGbctQB7dtfZKS1kq+sXgyFXGJ+YVAZ6YjE8ar3OHix4vPJ5qw8WD7Pp7rbcp0SCkR1waJS8PkWxILYGCmfAPC1/q87B32szP8yqhJ7OVl13E0NMCrg8+JJFY4bSKRFc6IZUlELQVrlEfeB0OdOPplygckCm1T0c12NCs1GyaYlsWgFmFNVQ0RcxodEYvN/kMpGSud2kMRhqMdzFAOM809BQwHTtnGoqIFbPXvQ7NyZ5a7PxFhQ38rzkCCOXaTAmmAI6HcLZWYqOqdZayunMzlyybxylYnap7ciVxeX0tJqYewzeTRzW8m5qaVELtNj5MquSm01VHjcHE0PMyQNsDB6PG/I25V5ZqGBtzxSWz197EnlB+/Q0JmiERWOCNhM8b9va+iSCZuxUnCtNCtOAA9ib282HuU1/0NLPSci016mf54C9EUtJcKGwn+69DTrKi+gcVF0zBq6/MikQUIGXG+0/QU5/o+RJcWxG1FuW3yh/n6wQ6648MkzFyaybCIJbr4zs6uTAcinIRbcWFXTTTTIKz9/YZpQcEk3jNpNebsCI8+CftzoO/xWGQUbLIdl2Ly9SVLmLGgkiZ37G+J7InYJCe6lcDKw9naM+FVS5hXcCEXFldyd8c9HI6O/F6W2B38avVqPrNWYyghdu8SzoxIZIUzYlk6oehh1p57C7sHqnikPcArgd//7bhhRonFmvjZ2eeh6VfzdPdhvn7wyZTF88/bFKa5VLxyLiV3p2Z98A4AZhQUctWMNs6pfjdf37OBe9vExgRCctkklf+c8WWuOauXl3v28MlnXvvbsSd7t/JU7zak9RamJZHLU5ZTXPO5uORqPj9nAJdu8P0/7+C7Bzad9HUyKpcWfZ5NwQfp03OzZj1VpnkU/mumF9OK8FSfASfoUrY5dDdtiUD6ghPykkhkhaR4qr2EPYG9bA1tG3FMtwzev+khbqm5gkr7bL7cWMaPj92Zkr3Jj4TX0h61o+TQh6uMzD9NvZUim8K+0FHuan/phOe3hEJc8vzjfGfWTXx8yhKWlhXzle0b0hRtZtU4JrOi4FI6ojH2RZ4hZPZmOqS8s3pmDT/50IXU+QxczSZW68hzLCzeXCacO39n73RLzdWcXVLPguIAdsXi89teZPNQJydb/uxUSqlwL2Zj4G5CRn96gs0Rl5ZdwGVVMygv8HPTxic5Ej7++3Nu4XWcV+VhXlk/Fz75FO3h0BjvJAinTiSyQlKsG9hFd7yNkDnywm4B+4L9HAzoKD4PRbbU/drFzCFiOfekz+JwuJWLymaxpqIBT9FsHjlsYyDRhGaNnM6ImwY7hwb4U/sOKt0SMctgdfHZzCsL8HxXK0dD+TvDYZeclKrV1BYnaNPshOKZjij/DIRivLyvDZQO9LYwW1pyv4fx2ynIXFi2nAsqqqlxeumLaTzTt5M3BjvpjZ98kwPTShDRexk2usjlRD4VimxFxHQ7d7S8zr5gN7p1/MX4rJJCZnkrMHUnOwafzVCUQr4RiayQFFsC64E3W0aV2b0YlkRQjxB7Wz3s0XAYyxrGY9OpchTSnwiKlaqAicVD3S9S63RyxaR6Lq1fQVOPi01DvWj62B+sd7S9+bi31lnHB2o/xBeWdRLbpBNKQMSQCBk5XLw4hoSp4deHmV5o4ZBz7o4lJxzoGOSf7n4l02GkjCIpXFJ+LrWeAQbjg2zsVfl162snf+FbEmaQ/uiuFEaYa2Rssosyu4xuaWwb7uAv3ZuPO0NCotzuY2GxiWTprBcl8kISiT6yQlJN81Tw+4Ufojfu4BfNj/PywM4R53gVB4+v+Cyf3X0fe4NiterbnV08i69Ou4GYIfPvB//IoXD7SV/jUstoLLyIDbc5CB5xs6vZwyNtDv7Q+V1MxI2CILydhEJ14Xn0h7eT0IcyHU7OcyjFNBZcyr1Li/jWvpd4pHPkIluv4uSBpV8gbNh4vGcTd7Y/l4FIhVx0Kn1kxc5eQlINJyQeanOxcnEnCxqmUeVZMeIcWbaYUTvAg1es4p8Xz89AlNlrq/8In9z1Sz635+cci5zatEVMH+Tw0BMs/uVDvNzSwsLZEf77y2G2XHctS0vLUhyxIOQWC4Oe4Ksk9Px7YpEJDS6FX88v4ehwCYMxx4jjquLF65pMlSfCz5r/xENd6zMQpZDPRCIrJFXICPHS0At09to4r9zHe6Z6RpwTM3T+Z89mJJfJ8srpXFx2bgYizU5xU6MnPkxvYviUyy4sTDQzTMtwiHuO7eN3e5rYtM1BY5EHpy2/ttWcyErUyUxyrMRhK0dcuk9udfE0PjVpDZ9tPIcy93TUt22Papgx8nGTg3RbVTyFm2uWUSDbuL9jI0cio23UIqNZEj87upF9wU5CRjTtcQr5TdTICkkVM8PsCm1k3eF6Lpjq5OpaFy80l7I/MPC3ZREJ0+Tn+/eyaEohTqOeqe5JrEXcpSfDcz0t7BmWONLZSOFZg4R1Da/iotxRQIEvwcGBADFdlBvkIq9SQZljJn2JbiRtUCwzOoGp7lKuqJ7BJRUzwbR4YmgTwcQA+kly11K7i0qnG1U1aQmoRIwQmiUSr7EsKazngtKZ7PL383TvG4SM41dfVjqKkWUXfj3MH1r2ZyhKId+JGlkhZb4562LeXTcTuz3GgmfvIGrkzi5U+eSC0kV8bvqVXHlBG8t/9wS7+0RdYC7yOafgslXQG3w906FkNQl4atXHmV0NdpvB0Y5CLnvtl4SNxElfd9uUxXx19lkUlUX4yLOFbBrcSGdie1rizkVfnHouy4rq+MDW+0Yck4B/mfZewkaM/z32SNpjE/LDqdTIikRWSBm3YuPC2hruumQNP1lfxT3tD9EUOZLpsCacescC1lRcyh//KcCGJ1SeOWLxdPcgu8L3Zzo0YRwkZJBkrBzaljid1pSczZUVZ7OgKMLcyjjfP7CJe5sPYRgyfv3ks6r3rbiGFQ3FqC6F371Wzy+af8OQNoCJ+H6PxSWrqLJCUD9+JtahyOz7wvWEmip59FAz/3HgqQxFKOS6U0lkRWmBkDIRQ2PHUJhvbPNzQ0MBO8NzGNYd9Cf2ZTq0CWVAa2PjwDN8/F6N+qFLaI7qBGWx0CXXWJhgibrO0Xx2yiqmuWfgkVxs67dzb/fjvDHQymD81BsNK5aPtS39PD94iP3dXgL6oEhiTyJq6mAe/z2a7Crlgw1nURJx84eW7TzVNcqOGoKQRCKRFVKqJxLn/qYOLisuZUFJJRHD4vU+PwGjI9OhTRgRc4jmyBDNr8MK33Qiks6w8eaHS5laT4lDQZJiHAyNtlBDELJfud2NbkU4FDnKtkGZDf4m4uOsbd021Me+YBePdTelKMqJwS6rlNq8vNzUzVPth9jmH8h0SEKeE6UFQspJyJxV8Em+vlQnYUj8YJfChuHfMNquOBISEjISYIgeqCl3dcnnuKTKg0Pt4PN770Ez3pr5EwRBeBvprU4Zb24tLpYaCukh+sgKWcHCZHPgd3QEOllcYvHHK4dQpNHPneI4myuLv8yn6v8ZtzyydZeQXOuiz6IX7uCmZRYdn72JJZU34LPVZzosQRCyzEVFH2JlyQep8I3sDS4ImSRmZIW0mV9YzrllM7m0+ix+vreLTYHnCBjHP3byyCVU2xu5tOwaOuNH2R58lZaYeNSXKorsZkahm9mF1cz2XcivDz3Ch2aVMdVTzusthdzb8SCGmKEVMuyWmlXM8tYSMQy+f+QRTDEjmHbltgZ0LCJWiPgoO6JNdl9IwOwlZHST0PozEKGQj8RiLyGr7Pb3EdUc6FolCfOvj6iOFzYH6dJ0DkX2MN83i2OxvbTEMhDsBGGYEfYPRWjx6xxxHmM43kmNfRorSqdSabOT8Eymc8hORzjI0YioaxbSS5Lg+rOmc33pJMq0Wna1y7zZ2EkksunWp5140ZZp6VgYcPK5MUFIKpHICmnVFGmnqbX9hOeEjQBrB//MvILP4VJk3IoD04KYeeorkIXxiZjD7Iw8BsDBHhfTXRKrZ3dw0ezVvLq/ikeOHeJoq0hkhfSyKSq//PAV2IeCbN8zzBu7CkQKm6Vao+syHYIwQYnSAiFrSUh8etJlnFu6hNaIzH8c+h5x88RNzYUz9+aCO3AoNr4/+59YXhbilYHd/L/dL2Y6NGECUWQXHudkrvZdz0b/Q7TFD2JZoz/JEQQhP4nSAiGnWVj0xFX8msyKsiDyYfEBlg7WW6lCzND4wZE/4m01COiRTIclTDCGGScca+bZxB0EjQFM8cg6q1xacjNHo/toiu7OdCjCBCcSWSGrHQg1I0kaR2MRDFMsOkonC4vmaAeIreaFFHDJNi6tWMDavj2EjdHKhkwMM8qAKUpasolLdnB+6XzOL61G7ztGk7g+CBkmElkha3gVL5qlEX9bLeze0B72hva87RwXkqQQNjRMS9TMZgun7MClOHDIJn5NIm5Gxa5IwghepQCf10JRoczh48tTLmDr8NExEtmJqUD14FQkZNmgO5q+LLFAdeJUVBTJpCs2+hMYu2Sn2lnBRxsup8geYUtA9PoWMk8kskLW+GjdR9gZ3MUrg6+Mec7HGq7GZavgzp69dPpfQaxezg6XlK3huuoVrCwf5mvbnWwKPE2XtjfTYQlZxC45+WD1l/jHT4eYPFvFUuwE/9KMY6cOojPJ33yx8SYumVRIaXErcx58KG3jfqHxEq6pnUppwSCzn7ibxChPwJYULOey8kuIGwa/OKSyLSha0QuZJxJZIWt0RkzOK17GmtIK/vPwg2Oed+4kBzdfWsN77r6C9uDrxIzBNEYpjObFgY0MGUe5uP4ifvoliejgQvyds2hucnHrtvuIm2LmZiJzqmXU+GZzS+MwRT1B7tnZx4+2tBPqP0JrOJzp8LKCR7Xx6DnXMX2ywVNt2/ju09vSMq6ExD9O+ThXLbIocUZ5Y18FljX6jjUh3aIlZNIRho2B+xnSe9ISoyCciEhkhayxO/QGVe45LCmq5YvTlvPbYzuIGNpx57w2tIeK4QDnqBV8YUkhP9mqcMSfoYCFvwkbEQ6GOvnhoc14TYULPJOZ6Sijaq7Jv3kWoCVMjg0qvNSs0B7fnOlwhTTTzSj+WAd3t0UpjCbYNRhib+sQmh7IdGjZw5KJJeq45+BmXu46SnMolPIhHZKPesci6pwVDAzFOaT180Dbbgxr5GxslX0BllzMgcQRgrFWhvVudFHeJWQBkcgKWeNgdAu1IYmp3mV8eNIKHmrvotPsR7f+/txx0/B+3B1DXNK2nJumlPJcUyn94Rh+PZjByAWAvniUnx7aDodgaLKdK6bYqJ8Z5t2zFlBswt5eFd1Q2R05SuugTjgex7DEM+WJQDfDDESP8tvmo9Cc6Wiyk25ZvNwd5d6Ow3TGUz/TKUt2CmwVLPKdjWkpbG012B3s44neV487T5EkZhQWUmAtJGjFORzfy0BkR8rjE4RTJfrIClmn1lnON2Z8mkfaY+wIPUtHYueIc5yynXsWf4mA7mBt/zbu6XgiA5EKJyOhsKLgNj4/XeXsOTq1SxNIDpVbfhXklab99EbS8/hUEITjFbpmMrtgNp+sXMCGPnhx6C80x0bWtZc6HBx+73v4wkuFrOvdQUtsYwaiFSaqU+kjKxJZIevIyHhVN3HDosg1C0Vy0RneMOK8ItXDv05/N8srvUjONs575rEMRCucjE1y41bAroLDbufCott4tud++uLtorNBjpIkFY9zMgvU82iPb6M1sT3TIQnjtLroUma4l9Eb01jn/z0RI4Dxjr9HVfHhsldR7nLSE2gnpocw0MZ4R0FIPrEhgpCTTEwC+pv1YcsLvJxVMhlZtvjWvtdJvG3R0LAe5s9dr9JnzGBV2TQuKrmG1/0vEzbSX2ZwSdlypnnKsMlRfnbsZdFL4W00K4JfB3SQY3FeiT/LUKJ3RBJ7RW09l9TX4igBySZxz44jbGzpzUzQwnFkbDS6zuWDl1hUFlmEwipPvFRFa2Q3Q7ro8zoel5bPY0FBNTZF4weH16GNUo+aKnbJzXTnuVxeo9Mck9kW2kxftIeQ4cfi+AWZNrUYWVKJaX20aaDrwRHnCEI2EImskNVcUoRGl8mqytl879ButET4uIvpG8OHiRoSulbFVNdi9kUOEbfa0M307kS1oGA651c2UOIb5u62I/j1bjFzMQoTg5b4jlGPlTqczCsuZ/qkaqprEuzsjrKpPYJmpH7Ri/CmQrUMr+LBLls0R1v/dkMmIeGSi1lQVU51aYye4SAeVLoT+4ia4udzqlbUlXNdwxQWeBppHUogSxsgTYmsSy6gTK1nnncp55YkaO3exoHIPuJa96jny5INyzLQ9OG0xCcIp0skskJWe7BrM82xNpaWXY3LUUfEaEV/R2KzK3iIA6EOLij4DCXOZSRQGRil1iuVdMvEWRBjyowQSzbdxBvBuwkaojXNeNx99DBrO4b5ypRP8+FrW3Hb6il0yfSH3qyjlZGQJQlJBiQwDLCsv26oK5wO6a3/LEBRJc4qOp+FvnlUOTX++cB30K03bxoNEuwJ/4Vv3Hszfr1d1EmeBrss89D7LqTEaWdz6xDf26SipXGzwkmO+Sz2nc+8IjtvDNg46g+NmcQCxDXxNETIDaJGVsh6MhIuRSViGFiMfeVXsGNh/u1/6WSTVFRZQpYtYpr0Vq2ZSLDGS0LCLtuwqSZxA3Tj7z/Lr057F9csnsL8K3SsmZP4yb8FeHrrZt4IPJPhqHPXtZWXsMi3jINBix89NpkC/yDSsX6C27uZdPufiBvH/x3JqLx56yAeMY/H3JIiXrjxMkqXlPDZP63jro0HiekSZhqf2nx+1kI+OmUFv9tdwz1dP8evD2Km+TopCOMlFnsJgpA3ZnlrqCnyUFgt4Sqbxu5tnXQMdDOojz2rNNFNc0/hnJJlnF09yPquIrYMHeRQ5DCV7qVcXVpJpb0Oyyph/7CGfeV+tEgbemAIbSjG08faMcW92Bm7oHQuF1bMp76ojqfjT/JaSzutA+mp4/epDv5txiUMJxx0aV20xzs56nfREjuMYYmFlkL2E4u9BEHIKAmJ88sm4ykywYJwAF7qazmt9zoQ6uRACGiXcNpDJLR+TCtxwtcsqClhSrEPI2yixRQOBA26YxFixsBpxZALZCTOLplKYbHO7IoprKmdwdmTQyRe8tEZHeRQ5PDfzu2IdTOU6KE9rrNv7VZiWi+GGc1g9PnJH9fYfrSNJ3qPkkjTJgIFShEzfZO4fmEj+5t93NPcz9ru5rSMLQjpJBJZQRBSRpVkvjH7QmYvBsWUOLoPLn7tLgzTRDNM4vrpPKK2iCU6T+nMDyyfzscWzyDRkmCo28X3DsV4truVrvCbTd9ddhVFlt6sAjEteGtnTtOEiJ6ZGSuXbEOWAMlCknjzBkDXT7lQxS6r/L9pV7BgaYDCRgW5NgzlxRTuiONq0zGsGJ3hjfxW7AybFi8N7OWlgfTW7NsklemeGVxdcynlSzvY0u4gaooyAiE/idICQRBSSpVk/mfO9SwqmEZEVrnsszEYDvPLF3bx5T+/evI3OAOyJL2ZFAJYEqb114rbNy97z3z1es6fXYeVMIluHsJerWDFLZra/Sy+5/GUxjYat2Lnz8s+y6TCMIUFcVy+BEZCZvXjj3E4cOrbuSqSjCRZgPRmMsybybkpFsdNCF+ecisXVZVT6e1m1Qv3iZ+9kLNEaYEgCBmnWya/OPoyXvUNDEni+980mWW7mKZBR8rHNi3rbXWeIz/E//HedRS5HWCCEdS4oOJ6GlwlJDRPymN7pzU1lXz9nGUsvG0OTi2MOjSA3NWL3hJCVsb3XoZlvvXPFYnLRBTSFJ7qHmZ7eB+aMfpM7AfqF7K8aCYbez083HsP2knKdAQhW4lEVhCElGuOvq0mNQBtjgPETP9JX1ds87C8aDov9O96MzlLsj1tx9fKxkIHqHIWIMvp7UMMENQ09g4McnDLG0iJOAwHoXcIoyfKcEIkGcKp2xM8SNQy2RdpP+7rEipueyXnFhWzsngGFfYyBrRWMVMr5DRRWiBMSDIKdtlJzBSFgtlKwc6Coga+Pf96PrP3dqJaHKw3e8f2hGOZDk8Qcooq2fGohTSWLeY/J83CNGS2+Tv45qEHMx2aIIxJlBYIwhiq7VM4p/DdPNj3PUzREzMr1bpWsKR+FhdfM8Dhj34QazCKFdYIhONUff9+dNEbShBO2SzXCi6tOodvXtrKY1t8/P7Y87w4sCnTYQnCGROJrJB3Li1fwrLCaXy76YExzyl2wAWVCp+cfz3/tP0Vtg31pTFC4VR0xbbyl0N7eO2HFigy7yq7nKUFDZTbg2C9tZxfECaoIqWKlQXX8v/O6uGbO97glZ6uMc912Wu5dIHKbfMGeGNvDf9z8B6ORcTOg0J+EImskHc8ipsZBTV8ddk8bt/Xy3AsgGke/yi6PzHIy4OvsqxyDjfULKDOEWTXEDTHxQxFttCsCMPxCMNvfd7aQ7vZ7+qk0BbDOHlFlCDkrXm+6fz/9u48PK76vvf455wzq0b7LluWbSSv2AY7mGAMDgmLMV0eguGS0tym4ebJLQlJSdL03vvcNE/XJ20a7u2atk+zlaYJTSiEUgK9jg02mwGDN2zZ2LIsWYs1WmakWTTbOef+EZqleJFBmtGR3q9/ADNH/up5MH77zG++5z31HbplWUBBpx/YWYUAABblSURBVE1yD1/w9VtqViqQbdG/n8xp76mXdSo9qLRdnH22wEwjZDHnjOczSrtZfWrtRr082KnDo10azfx8yJ7NjurRwT26oW6JPlC3Qssjfj3uL6i374AcN69S3+0LmlUKmT7l3YzSNud4JenAxGEdmPoGqjml2letkGXJZ7jKOYZGcjEeLzpPNQRqtKV2rba2deiK5aP6/jNBjaQv/P+r1WX1GoiG9K/HR3Q0vadIkwLFwYe9MCc1BOr1+cvu180LRvXgiWf17TPnv2Px1+u2a+uyRoVbYlr1jQNKTnbLKdLTd87FVEBXVH9EGysa1Z0+oB2jT5ZsFswOv7Hofl1VU63mkK1TqaC+cPxBTRSK85hTzC5fXvk5bayXHLeg75yq1ENn/4TVWZizpvJhL0IWc5IpUxW+cgUtR5+5aoXuaF+szIR03ZNPKJHP/9xrq/1htYZXalXldfpATUB/dOIh9WVKe2bWb0S0re4ejeT79eL4D0s6C4pvU8Vd+uA19bp766Q0mVf5VVfKPzohnRzSRGde73n8YQ1leJTsfNJRXaEf3n6TAhM1+uPDr+mRni6lC4bSDn+gwdzF1gLMW44cjRcmpII0FKtQOtmijkUT+tyy6/TPvW+oM/nTUI3nJ5W1ezSedZXI+jVeSKrM16Swr16jmeI+WvI/5N2UDiVfYD3YPNWbfUNPnwyr1ynILdgyDvdK6YycsZTyo7YShfzFvwjmFLvgV3SoTf/cvVvPDvVoJJcs9UjArEDIYs7rHM7oR6FxTVSOall5vZqDLepJ20o7Yz95zaQzpjPZMZ15q2/rg5epKbRSDb6YohkpaY8r5xY3Kk9njhb158Ps0Z/rVH+3tKu71JNgtkjkHD11IqFvdh9X0uZuPPAfOFqAeWdt2S/JZwR0IPXoeZ9oszCwQVdWXq/7LyvT17sLem3iWfVk98lh5RMAAEUxlaMFZpFmAWaNrc2m7m9fpvsWfU6Wzv0Q+4HcQR1Jf0et5Ul9efOYHtmyXn+97s4iTwoAF2KoufI6hXz1pR4EKBlCFvPOk9F9ejL6qhqCEd29YLuaAo1ve40rW9FsXL995GkdGArIZ/l19YKIvrj8FxU2/SWYGgB+qjVUq//Z8cu6rWad1lZcp8bgulKPBJQEZ2Qx73Qm+5UoSBVWk/yGT6ZhnPN1aTuvp4ZOqDW4UpdnXTVHDK2tWKOgb68y+bhct1DkyQFAag01alPdUt2+dIn+/tioDNeReZ53l4C5jjOygCRDpkxZcmTLPc+i+aZAi/7rwnv1rei/Kp7pUcGep9v5AZSMKZ9+rXWbbl+yQhtX9mrFPzyqZJ4/VGNuYo8sMEVtwbW6IrJVr9uvK5p4RXnn3KttLFmy5ajUT/4CMD+9r/I+Bc1yjdv92p96WDmHJ7xh7iJkgSkKGeVqCCzQXa23aWlkUM+OvKF/GSjNDlkAOJ9qq1WmYSrvZpWwh0o9DjCjeCACMEUZN6lo/rQGJ7u1vnKxrmnMKBDJaiQW1nNjx5RxWEAPoPTidl+pRwBmFUIWeEvWyem7A48rZP66buto1V1ra3XiZKOO7x9Wf2ZEti52Ds2QaZiqsIJKFjJvHUEAAAAzhfVbwH/yzb5v6X+89Jq++KN6ragf0y/U36uO8FUXvc5nVaipfLW+s+FTuizy9pVeAABgenFHFjiHvtwhPTF8Svt2F+S3btSYe/ENBQU7qVSmV/G8T3973RZFU4ZeGzD1lVPfLcLEAADMP4QscA45N61cIa3YhFQbekOThZEpXOUoU0jp8bMv6Y6ydrVWhdVSn5HbfLm+/voJxTO5GZ8bQOn5jKCWBDdoc9OkDo0PaH88etFrLFnaUHWNOiqyOp0+q5fGOAsLTAVHC4CLGMt0arIwPKXX5tyCvje4S4+fSujNdEILFo7o9zZv1PLKRjUFalTnr5jhaQGUUsgMqjnQrGsqP6D72jdrY+3CKV3nM/26oeYm3bHgSm2obpnhKYG5gzuywAz47uDD+u6g1LK3Qk9f+1F9ftFH5LQa6s+c1WePfq3U4wGYIVdXb9AdzVvVVpZX/3i1htPhKV/rM6UHDj6t/ix3Y4GpYo8sMIMsw1BTsFw31dyr9zcGtbg8q8f6DH3tzN9p0pks9XgApkHQDOnDLb+h25eOqCXsUyzj6p6XfyBJStkZpe3sOa+LhJYqkxuS7aQlGaryVSlZSMiWXbzhgVmMPbLADDNkam3kBm1qyiiaG9JjfV0/9+9t19VAJqGX4ns0VPCpJmDrdCqkvMsjJYG5wnZddRfG1Jus17Hxfu2LvaHh3Pg5X7uh8nKtqW3UssYJ/b+udr1hP6+Yk5bkarwQL+rcwFxAyALvgiFDjf423dwYUjTXp8NjKYV8trqSMU06P43VE5P7dYIbsMCcYEi6rKxJ4YCtiXxGZ1IZHU51qvrsSvVN9umV8c5zXremukbbFq3U9c1LtKI+pv3dlvz8Ngy8KxwtAKbBfW336KrqdjUEC1pZO6679j6iQ+NRXfQX1zkZ0ju8EsDMMiQFLb/+af0DWrcwrh3RTn3ipecvco0h05CO3nGXWtvDiuVD2vlMjT5+6EFleWogcF5TOVpAyALTIGgG1BpYrU01t+ir2weVa/Xpb/Ye1e/84OVL+jpLQit0fc02fXvwz+USs8Cssj6yTbd2tOs3bxtV9mhE9726U7ujZ5QqnP+o0Hsq3qetizfo09uj6trTpD87uUs/Gu5UPm8qafM2DXAhhCxQRGGzSg2Bhbp2yaS2d9wkN5vX8YEzeux0REfSO5V1Uxe8vi1wlW5oXaqPra/RsehR7emp0f6xMzqSPFCcbwDABT3QcYuublils6b0Yu9T2hM9o2j2wjFa52/Wqqp2/foV1+oHR36k12PdGsjGizMw4HF82AsooklnXL2ZcfUek8yJM1pbXa6GYKUuC12u45PPXTRkfUZQjpFTyjilu5cvUSizQDW+oKrLB/TC2YsvVAeKxW/41BFZrOb6jFKTlkYSjk6l5/7KqKzOqicR0hM9Ye1NdMk5x3aB5mCFlpbXKFKV1wu9UY3mz+pQLKvHDizVjrGjyrnn3mAA4J3hjiwwgyJmpbY3fkqPDX9VCTs2pWsqA36d+Ogd6jlVr7DfkVke1eXf+5cZnhSYGkuGmoJ1+sKyT2r71n4dP1Wmpw4l9aWub5R6tJILWKY+tGCDPrNqszo2xrTuq4+qO5Ys9ViAZ3G0AJgFLPlk69LWbYUsS+HgYt1Qs1o31bbrk4f/fIamAy7NPa3r9fHFW3Q6WaWhnKmnojv1/NiLKrjsPt31K7dohW+Bus8E9YkjcR0bfVI5h5AF3ilCFvAw0wypzl+hen+ZOpM9pR4HkCQtCFVqUbhW6YKljG1oODei+Dzdf9oWvFZX1TTo1hZHfsvRcGGpTiR6dCh2QIcn8posDMvl4QbAO8YZWcDDHCej4WxGwxypu6Cgaenmxnb5LEcFx1CuYClt+/RK7JhyPHhi2g1kJjSQmSj1GCVlytCNDcvUFrpM66trdU1tTjtHTujZ/l4dSZxWT/ZMqUcE5g1CFpgFyqyQfMaP3xyxXUMpO1PiibyjwhfU7666WbVleeUKPk1kgxrIhvW5I4PqS8WUtZ1Sj4g5ImT6FbBMlfks/f6qW5RzXBlGRtFcSp89uJOFeUAJcLQAKDHLMPUXl39eVzclZRnSoeGQ7j34f+WIAJuKgBHR+yo/oY93SGtaklrQnFK43ZKTt/XAv72sv33leKlHxBzxvzpu050d7Vq+fFSZoYDu3r1Dz54dkCQ5ZCww7TgjC3jE4nCL/tviG3VtQ5NaqxJ69KStvcOujqY6dTLzUqnHm9UMmSq3GtUYlMJ+WwG/IzNkyHVd9cZTGk5xdxvvjiHpsZtv0mLfAsVSVXp6KKCdw9/WmxNjShR4MhcwUzgjC3hEz+SgdkSPqC/br0UTWUWMG1Xlc1VmDpR6tFnPlaOEfVaJdKknwVxSFViqjB1X9q21ea+NjOigndBgIqCXokEdSg3L5V0ToOQIWWCWeG5sv54bk/xGQPc0b9RY3lHO5RGWQLFU+PyqCgZlhg21Bdfp9Pgx9SVjciX9wf4DpR4PwDkQssAsk3dz+odB9sYCxfZrS1frC1e/V43bypQ7MKbf3mnoL/eXeioAF0LIAh5VFlysXCGmgj2/VyEB70a5FdbvLr9XW7aMalG9qXK5euNhQ//91R3qjI2UejwAF0HIAh716bWLZOUWaSTh6Nh4SM/Hdsu+xKcrvb9us8qskFxXStnSC7HdKrB7FfPAnQtXa2lFRJURU7es9WlivEVPDfToaPyoRk4HdHhkVCmbD3IBsx0hC3jUtY1BNTqtik/U6UWrQnvjL1xyyC6LLNXC4AJFfGHJKCgVPqpsIaNc3lAs6VM0F52h6YHSMCQtL6/VnQvXaF1tvcxIVunaXj2zq07/3tOv52MHSj0igEvA+i3Aw26p/wVtqt6ohqCt3+r8sjLOpT8GbEvNrdrWtEG/ujyq5i2GNJlXV3dQ/7SnQX/S9ccquAU2ZGLOCFs+7bvxXqWzZepOhvTymK0Hu/+01GMBOAf2yAJzXMAIyG/6ZUpK2Kl39DX8RkAB06cyn3Tvkvt196aEVq12lF/UoNju40pHLT3adVr/++De6R0eKJHaQEiua8hxDeUdKe2wuw2YjQhZAJdkVWSdOppzqqtz5a+O6EPG9VpWm1QsPKFXjZjsaEqdb1Zr71CP9saPlnpcAMAcxgMRAFySztQhdXZJ6pJ8hqWKJav0nqVx1be66lhYo8X+y9SeqFTADiphp1RwDJ1K9ynPB8QAACXAHVkAUxKxwvrDFZ/VpqaYcgWf+pNliuV9+uLxv9JIPi5JMmXJNCRXkuu6cnjyEWaY3zCVd/nvDJiLOFoAYFoFDL8s05Vc4yeJmnV+vKKowd+kX2n5mN7XOKn+yYD2xXv1UP93Sjcs5ryGQJmevu7DunPv99Sdjpd6HADTjKMFAKZVzs1L59nwNV6I64cjj+gjqzdrTWNQm0MBfbBws/IDeX1p3yHtHxkr7rAoGdMIKuiv12RuQJqhnRcrIx16f/0mHRqrV9bmtzJgvuJXP4BpkXOz6kof13Oj9arz++WvkAyfpRb/coXMU5II2bmuyrdYZWZI5b4yVYZqtX9sUM4MhawjV6lCVjuiJ5W0czPycwCY/QhZANPGlfTAqy/85J9NWfovjVeqJ+6/wFWmTFly5cqVrZm6g4eZ11p2rdr8jWoJhNVY5uhgbLecGTq/+maqS2+mumbkawPwDs7IAphRhky55/nQl2H4VB5q1+LARk3YQxopnFA6c7q4A2IaGTJ+5q982A/Au8EZWQAld76IlSTXtZXO9upUbky2m1fenSziZJh+7lv3013uqwMoCkIWQAm5sp1JpUXAznU+w9KmmvWKTroazg9prNBX6pEAzAGELADMMSGzXK4r+U0paEpZx1DaThX9rf4qX7kClivLchUJBHXvim3a1+/o5bFXNJYkZAG8e4QsAMwhPvm1rfpTSjuO1lS5urHJ0HMjZfpa31c1nBsq3hyGpS+t/LQ2Nia1qDWt2pW2rPZJXf2Io+Dree1LFm0UAHMYIQtgRpWFliibG5LtzL7jA9/4rdt1VVW18p2jKqQMhddEZJVbcm0p/+a4njnQopMxv44no9oVe0S/s+yjKrOCGsjmtXMkofZAnfZO/Jui+d5Sfys/ZRgq91say6e0JxHTM+moeuKvKZ6PFW2Ea9oa9HcfvF6HnjM1mg7r2QNn9PWndkkBS7kJKZ7JFG0WAHMbIQtgRhUKCTlu4W0/vrq8WZsbl6qlIyP5TE2OGBo4m9f3B/uVy4+qGGu4nj3Yre5wmZyzaVlOne5saFZ9Jii/aSsQkYYqqhWwg8q5eRlx6QPXl6u6oVbxnK3Vpy01dCxR7yNhNVktuvXaVfrKQ7tK/iEnx7V1KLVHcTujlJtWxp1QMj9S1BmGkhl9//ApdQ6OKGg6OjMZ1bGx8aLOAGB+IGQBzKhcYfScP94artGtzSt1w3sDKq9ylBzw6cjJrI67ptJ5VxNJaSJja6IQn7HZHtpx8K2/MxUJLVZ1tlod5SGFg3lV1mQUy1nKuiHJiEly5Vs0JN9iqc5xtTk8Jr23SZGdBdVEanX7DWv04D8+oylsNJxRjmwdTO4p6QzdYwn94a4DJZ0BwPzAHlkAJVPrr9T/Wf2b2rrhjGrXlcm3oEz28WGZVQE9urNGj74yrIfPfrPUYwIASmAqe2QJWQAlY8hQlS+ioN+W6Tcky5AKjmQYymRNZfKOJp10qccEAJQAD0QAMKu5chUvJKWCxCrZ6WHIVGt4kzbVlKkxYCpg/njl1qINBe3qOq0n9neXeEIAmD6ELIB5JWyG1BxsUH04p2MTYzLl18JwjcqDedm2KdeV8o6hgbRPWTevcp8lyyioP1O81VXvVKUvpPZIo65Yslq31UTUKL8KGVNZx9DqjpyGxnN6QoQsgLmDkAUwrywOL9LH2j6k7cv69KsvPq2wGvWZ9m26eslZJRIh5fOWhjM+/UVnhfrsUa2vLleFNa6vnPyaDNOVXMlxJafk+wne7oqqhfry2l/SldvTckbH1HMyrP1H6jQw6dPAkz69Oewv9YgAMK04IwtgXjFlKmD65TMdTdoFNfpXa33lLfpwW0Tr6mKqKsvKNaXD/XWqDGTVtiWgYIul3d/K6Ya74ho/Ku041K9PHni61N/K21iGqZDpk+V/K7gdybZNOZIMSQW3oIJrl3pMAJgSPuwFABcRNCpU5WtSW5lf1cGcAr4fh14iE5DfdBRuMGWGTY12u2psyys/Lp2NT+q1+GCJJweAuY0PewHARWTdhKL5hKLn29f/s88SKN7DsQAAU2CWegAAAADgnSBkAQAA4EmELAAAADyJkAUAAIAnEbIAAADwJEIWAAAAnkTIAgAAwJMIWQAAAHgSIQsAAABPImQBAADgSYQsAAAAPImQBQAAgCcRsgAAAPAkQhYAAACeRMgCAADAkwhZAAAAeBIhCwAAAE8iZAEAAOBJhCwAAAA8iZAFAACAJxGyAAAA8CRCFgAAAJ5EyAIAAMCTCFkAAAB4EiELAAAATyJkAQAA4EmELAAAADyJkAUAAIAnEbIAAADwJEIWAAAAnkTIAgAAwJMIWQAAAHgSIQsAAABPImQBAADgSYQsAAAAPImQBQAAgCcRsgAAAPAkQhYAAACeRMgCAADAkwhZAAAAeBIhCwAAAE8iZAEAAOBJhCwAAAA8iZAFAACAJxGyAAAA8CRCFgAAAJ5EyAIAAMCTCFkAAAB4EiELAAAATyJkAQAA4EmELAAAADyJkAUAAIAnEbIAAADwJEIWAAAAnkTIAgAAwJMIWQAAAHgSIQsAAABPImQBAADgSYQsAAAAPImQBQAAgCcRsgAAAPAkQhYAAACeRMgCAADAkwhZAAAAeBIhCwAAAE8iZAEAAOBJhCwAAAA8iZAFAACAJxGyAAAA8CRCFgAAAJ5EyAIAAMCTCFkAAAB4EiELAAAATyJkAQAA4EmELAAAADyJkAUAAIAnEbIAAADwJEIWAAAAnkTIAgAAwJMIWQAAAHgSIQsAAABPImQBAADgSYQsAAAAPImQBQAAgCcRsgAAAPAkQhYAAACeRMgCAADAkwhZAAAAeBIhCwAAAE+aUsi6rjvTcwAAAAA/MZX+nFLIJhKJdz0MAAAAMFVT6U/DnULuOo6jgYEBVVRUyDCMaRkOAAAA+M9c11UikdCCBQtkmhe+5zqlkAUAAABmGz7sBQAAAE8iZAEAAOBJhCwAAAA8iZAFAACAJxGyAAAA8CRCFgAAAJ5EyAIAAMCT/j+gkyokiVhqmwAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "det = np.zeros(2048 * 2048)\n", "with h5py.File(sparse, \"r\") as h:\n", " g = h[f\"{omega.shape[0] // 2 + 1}.1\"]\n", " np.add.at(det, g[\"row\"][()].astype(int) * 2048 + g[\"col\"][()], g[\"intensity\"][()].astype(float))\n", "det = det.reshape(512, 4, 512, 4).sum((1, 3))\n", "cmap = plt.get_cmap(\"magma\").copy()\n", "cmap.set_bad(\"black\")\n", "fig, ax = plt.subplots(figsize=(7, 7), layout=\"constrained\")\n", "ax.imshow(np.ma.masked_equal(det, 0), norm=LogNorm(1, None), cmap=cmap, origin=\"lower\")\n", "ax.set_title(\"detector, middle row, all frames summed\")\n", "ax.set_xticks([]), ax.set_yticks([])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "71b82eea", "metadata": {}, "source": [ "## 1. Rings and the data\n", "\n", "From here on we use only the dataset files, as for a real experiment.\n", "`anri.io.read_dataset` and `read_pars_json` read the scan and the phase, and `stream_sparse` reads the pixels a chunk at a time.\n", "We use the first six rings. Their widths are measured from a few rows: they set the 2θ window of each ring, and how far a spot can move in η across it." ] }, { "cell_type": "code", "execution_count": 5, "id": "1cd78df4", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:51:10.317897Z", "iopub.status.busy": "2026-10-05T06:51:10.317780Z", "iopub.status.idle": "2026-10-05T06:51:11.101685Z", "shell.execute_reply": "2026-10-05T06:51:11.101333Z" } }, "outputs": [ { "data": { "image/png": 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hhx6a+plLLrlE3//+97VhwwaNHDmyRYfr8vJyzZ49O23tx+bm5haByfr6+jw8ExRKs2WoNJyIRm2eW4nYlL98s0k67fkt7yo1igDA275pCOvE/qaO7BfW0J1srWgo9ogA/2rYPHHqtHXwMSzFAj6fsu1E8gIAwD1cvYa1rq5OgwcPbrFt8ODBMk1TCxcubLX/Pvvsk/GDZtKkSerWrVvqT79+/fI+ZuTPlxvDim9eNpK8gxtmHuEr17xT2uLrGN2uAcDTVjSG1asicS6fOMTQoG5FHhDgY40xSyHZKtvqiq40FOyajz+ZYWng/9l65WvmlADgJq4OPm7YsEE77LBDi2077rhj6nvb+uCDDxQOh1ttT/rpT3+q9evXp/4sXrw4r+NFft29oItmfpv4L3pIr8Q2k3mEr7z/7ZZT0BF9yHwEAK/bFDfUOdn8wuBzGyikhqipioitrXMvSkJSc4DnU49/lvj7ktc4+QCAm7g6+FhRUdEqyJhcKl1RUZHz45WVlamyslJTpkzRyJEjdfTRR+dlnCi8srChE/pTw8bPdiwL9p16APCDJtNQeTjZ/GJL2RQA+dcQs1LNZpIGVkqf1bv6Eg8AEECu/mTaa6+99Pnnn7fY9vnnn8swDA0aNGi7H7e6ulp1dXWqra1t7xDRgUKGtL6Zddd+1aU02HfqAcAPmkypfHPmY8Qg+AgUUmPUVEW4ZfBx507SuoD23vxkNdcJAOBWrg4+nnbaafrwww9VV1eX2jZlyhQddthh6t69exFHhmJ4YZH057lF65GEAutSQuYjAHhdk2mo0+YKOOGQFGflI1AwDTGzVeZjeSS4N3M/r28ZfGReCQDuUdRIzsMPP6xVq1bpo48+0rfffqs//vGPkhKZiSUlJTrxxBM1duxYjRkzRueff77mzp2rt956S2+99Va7fm9NTY1qampkmgH9ZPaIriWWfvWduKTyYg8FHaBLiaGlm7hKBQAvazINlW3OxIqEJJOLf6BgGqJWq8zHsnDiOAyikm3SahriEj2vAMAdipr5+M0332jRokXaf//9NXbsWC1atEiLFi2SbW/5EH388cd15513Kh6P65BDDtG8efO0//77t+v3suzaG7pGbO3WhWBUEHw83lB5hIYzAOB1Taah8s2ZWBFDWtMsfVkfzEAIUGiNMVOdt818DCfKHwRRZPOppk/nxN8rGjj3AIBbFDXz8YYbbsi6j2EYGjdunMaNG9cBI4KbNFtSafrm5fCRbmWGykI2y2MAwOMSDWcS/45svsX91rKQBvYv3pgAv2qItm44Ux6WVge05mPUkjpFpLfPCunU5yx9Xm9oLxZQAYAruLrmY6HU1NSoqqpKI0aMKPZQkEFD3FDnrcLjDxxjaOdyMiH9qjRM5iMAeN3WwcfQ5qSjoNafAwqtoY2GM+URQ80BXXbdZBo6YJfEvztHpE3x4o4HALBFIIOPLLt2P9Oy1WiG1Llky4SqW2nrWi7wvj13SPxdEkrcsQYAeJNt22q2DJVvDoYkg44m9w2Bgmir4UxZgJddX/9eiWYsTfy7c4nUEAtmEBYA3IhQDlypYXMK3NaZj2TG+UvckkpCtv52dGJiyPsLAN7WHE/cQUpmPnYpSfxdymwTKIi2Gs6Uh6UmMv5UUULmIwC4SSCngyy7dr9NbQQfS0Is3fKTNdGQYpahnpuLgneOSBtjxR0TAGD7NW4u3Fu++bO7X1dDx+4mWWQ+AgXRGDNVsW3mYyS4mY9b6xxJlHACALhDIIOPLLt2v8aYpbKQrfBW/0N7dU7cwVy8iS40fpBsLpPMiOnTRfpmo2RzkQoAnvTthqg6Ryx12upjumuJaCYGFEi6hjNBrfm4NTIfAe+rfsPSHz/i4tAvAhl8hPs1tlHDpluZoS4l0kbuYvpC1DRUGrJlGIn3s28XqSEurQloh0YA8Lql9c3q1cmSsdXHdKKeL5/bQCE0xFo3nAlyzcetdY5IDayoATzrP8tCemGR9I8FBB/9guAjXKkxZqlTuPWJpjSUqBUI74vZhsq2yo6pKDG0Y5m0rIGLVADwouX1UfXq1DLqURIm8xEolMZo62XX5QFfdn3fUYl55EcrpX9+HsmyNwC3euObRKiqMcDnM78JZPCRmo/u1xhtO/gYIYPCN6Jm6+7lXUqkTdylBgBPWra+Wb0qtgk+hgg+AoXS0MbN+vKw1BTQZdddIrYGVBZ7FADyITl3OKBHcceB/Alk8JGaj+7XGDNV3kbwsSRkk/noE82W0aoDagXFwQHAs5LLrrdWSvARKJg2Mx/DwW3QGLWk0s2ram46MFHeB4A3NZlS/67Sm99ISzdyLPtBIIOPcL/GWOsC2lIyg4LglB/ELKlkmwAzxcEBwLvWN8a1Y+k2wccAB0KAQmsr87EsoMdczEqsjqrYvNK6jP6UgKc1xg3t0S3x7xvfIfjoBwQf4UpNMbPNZdclISnGuccXom1kPnYuIfMRALwqatqtMo06lxjaEOO8DhRCAzUfU9ZHE5PKytLE18mSDzbXDYAnNZvSsJ0T/15HQ1JfCGTwkZqP7tcYs9Isuybz0S8a4lvuTid1iiQ6XgMAvCdmWq1q+XYtkTZEizMewO8aY5Y6R1pmG5eHE3NlM2BBt/qYobKwrfJI4jqhJCTZCt7rAPjFyiZDu3VNHM/cRPCHQAYfqfnofo0xq9WdXCnRcIaaj/6wPhpSt9JtMmQiNJwBAK+Kxm2VbnPjsLJUZD4CBWDbthqirVcKJZcbNwes6cz6WEiVJVu+TtZ+pOYs4E2frTc0dCfplwcZ2qm82KNBPgQy+Aj3a0yz7LqUbte+sT5mqFtpy20VLLsGAM+KmpbKtll23bVUqifzEci75rglW2pz2bUUvKXX66NGi5vaySxsrhsA77FtqTGeKMm1UznzCL8g+AhXamqjgLYkdYrYagzYnVy/Siy7bvkeL90o1cyLpPkJAICbRdtadk3mI1AQDdFEdHHbuVQy87EpYPPl9bFQqt6jtCX42EzwEfCcTXFDtgx1iiSymMlg9geCj3CldDUfKyJkxvmFaRuKbHMG2q8H7y0AeFU03rrhTGLZdZEGBPhYQzQuQ1LZNnOpkGGoNGQHLvjYtM1N7dKwoc4RW2ubudwFvOZ387pIStSwLQtJ0YBlcvsVZ2O4UmPMVKc2aj4SfPSPmCVFtnkrD+wp9e/CrS0A8KJEw5ltll1vLqdBvWYgvxqipipKwzLamBZHLUOfbwjWSpK4LYW3eS12rbC1vJHLXcBrVjYljtvycCLzccE6mpL6QSDPxnS7dr/GNMuuKyK2GgJ2J9ev4m1kPnaKiGX1AOBRUdNWaRvLriWWXgP51hA11WnbOgdb+c0nXTtwNMVn2Wo1r+zZydaKpnBxBgRgu+2/U2LJRDi05XrxraWBDF35SiDfQbpdu19jzFR5G3OFzmQ++kbcUqvaYBWRRHFhAID3RONWq27XFREpbNjaEAvklBMomIZoXBWlbQfWelfY+t7Axg4eUXHFbUOhbTMfO0kryHwEPGfHUksjd02stU6unLhiemmGn4AXcDaGK329tlm9O7Uu7tApYhN89ImYZbRaHtOJ4CMAeFasjcxHwzDUpUSq57MbyKvGqKmKNJmPI3axZLdeQORrpt26nE/nEhpVAl5k2luuE5up9+gbBB/hSt9uiKpXReszTecSMh/9Im63znwsCSXuXAdtwgwAfhA1rVYNZ6REzaZmAgBAXjVETXVKk/lYErIVD9hcyrSk8DbzyrJw8Lp+A35g2UplMu+5Q1GHgjwi+AhXipqWytq4gOkUFjUffSJR87Hle5y8wxW0CTMAeJ1t24qadquGM5JUFrYVtfjsBvKpIRpX57TBx8QKkyD5YmOkVWOrMm58AJ5kbdVAql9XjmG/CFYbNHhGNG6prI35VEXE1qY4MXM/iFutC4MnvzZtqaTjhwQA2E4xMxF03HbZdXIby6aA/GqMmipPs+w6YkixgHWYn7qootW2srCt5oC9DoAfmHbLLLkLhkgbmEh4HlEcuE7ctGTaanvpVoQLGL+IW61r8ySDj/GA3a0HAK+Lmokr/LY+u8vCIvMRyLOoaals27u4m0VCzKUkqSxE5iPgRZZtKLTV6a17OcexHxB8hOtkuoApp3aLb8Rso3XmI8uuAcCTYvHMwUcCAEB+xUxbJdu2d94sUUO7gwfkQuURqZkgLOA55lbLrqVEPVeTLGbPC+Sy65qaGtXU1Mg0SaFzo+jmC5i2ll0TfPSPZtNQ+TbvMZmPAOBNqRuHbXx2l4ZtRbloAPIqZlqKhNueL0VC0kbmUjScATzq5k8qVRHZcgclYnBDxQ8CmflYXV2turo61dbWFnsoaEM0Q/ZEecRmEuETTaahsnDL9zgVfOTDBQA8JRq3FDJaZioksfQRyL+4aatk2/bOm0XIfJQklYVszj2ARzXEtxy7ZD76QyCDj3C35s0XMG2VsSHz0T+aLbXKfAwZhgzZrboVAgDcLWpaKk0TCCkNs/QRyLeYaaVfdm3YrCLR5pIPzCkBzwsbiaXY8DaCj3Cd5nj6CxiCj/6RyHxsvd2WoYkzunf8gAAA2y1mWirdtovYZmVhKUqlGyCvYqatkgzLroPW7bot1JsF/CFC8NEXCD7CdaLx9N37ysO2mi1Dts3Zx+uibdR8TPpiYyDL0QKAZ0Uz3DgsI/MRyLtMNR8TDWeCd8wdsHPLiGs5wUfAF8IhsTLOBwg+wnWiGbInksGqZs4+nmbbttZFQ+pcQhAZAPwgU/CxNGQrSvARyKu4lf6YC1rmYzIp4U+joi22l21OWgDgHZbV+vqQzEd/IPgI12mOmemXXW9OiGsK0ozKhz5f1ahNcUNVO/IpAgB+MOurtVpa39zm91j6CORfNG4rkq7mY0iBqvkY3xysKN1mRU3i3FOEAQHYbrG2go8hqT4anHOaX7G2Ea4TNTMtu0783UTmo6ctXtuk/l3ibdZ8PK6vqY3N8Y4fFABgu61tiKo0zRLQspDUGOvgAQE+F7cslYTbrl9TErBu19HNT7Z0m8sHbnwA3hNvI8VxSHdp4XqOZa/zfOZjPB7Xfffdp2uuuUZPPvlksYeDPEgs3Wr75BIyEsu3yHz0tqhpt5ogJh24i6UdSgM0YwYAH+hUEtbp/7NLm98ri1DzEci3eKaGM4atWICOuaiZuC7YNvOxnHqzgOfENh/Px/bdkrbcpUSKcvnveZ7PfLz44ovVpUsXDRo0SD/72c+0evVqXXrppcUeFtohU8MZKVG/hcxHb4uZlkpCbQcYg1anCAD8IG7aCqdZAloRttVI9hGQV1HTUiSUvuZjsDIfNwcfW2U+JurNWpbt/YwbICCimzMfaw6NSSqRlLixYNmG4pYPAlgB5vn37vbbb9euu+4qSSotLdXHH39c5BGhvZrjlkozBB/Lw2Q+el0sQ+YjBYUBwHtilqWSNMHHThGpMU7wEcinuGmlzXwsCVhn2Khpy5CtbV+Osq0aVXbq+GEB2A7JGq4lW10rJq8bo5bh/QBWgBX1JtA333yjX/3qVxoyZIhOPfXUNvf5+uuvNWHCBA0ZMkSjRo3SQw891OL7u+66q/7whz9o/Pjxevjhh3XNNdd0xNBRQJmWXUtSeYjMR6+LmpZK02Q+StLry8s7cDQAgPYyM2Q+dopITWQ+AnkVy7TsOqTALbsuDUlGhuAjAG/Y2BxXRdhqcTwnSyqw9NrbihZ8bG5u1iGHHCLLsrTvvvtq6dKlrfbZtGmTRo8erfr6ev3973/XxRdfrEsvvVQPPvhgi/2GDBmikSNHyjAMvfzyyx31FFAgzSaZj34XNe20y67fXcHCGADwmriVPhBSHrbVQPARyKuYaakk3PacqTSUyBAKisaopU6R1vPK8rBkyNbGKC2vAa9YuTGmXcpbXuungo/MJTytaFmrZWVl+uKLLxQOh3X11Vfrv//9b6t9/v73v2v58uX65JNP1KVLF40YMUJz587VzTffrAsvvFCS9N577+mEE07QCSecoKFDh+rXv/61rrzyyo5+OsijbDUfy8NSU5xJhJclaj62/b2GzY2uqc8DAN4Rtyx1irR9UVAa5oIByLe4ZSuSNtvYVlOApsrL6pvVs1PrJxwypG6lttY1xtW3COMCkLu1DTHtUNYy+BgxEjcSaCDlbUVdMh8OhzN+/80339SoUaPUpUuX1Lbjjz9ef/jDH7Ro0SINGDBAN998s2zbVrdu3fTGG2/otttuS/t4zc3Nam5uTn1dX1/f/ieBvGuOmypNcydXSmRQNJP56GmJmo+2pNYfIJWlib9Nm+AjAHhF3LRVUpqu8y61fIF8i5mbyxS1EWQsDwer1MHaxri6l7Z9bbBjqaV1yTvbAFyvKW6pPNxy0mAYhkrDNCX1Oldf2y9ZskQ9e/ZssS359TfffCNJev7553Xddddp7NixmjlzZiojsi2TJk1St27dUn/69etXuMFju0XjlkrTZE9Im5ddU7vF02KmnTbz8Yb9YpIk0+JKFQC8Ipah5mOY4COQdzHTViRNqYNOEQWqw7xp2Uq3aCpx3RCgNFDA45pilsrbOJ7DhsTlobe5ulmQZVmKRFoOsaQk0W7dNBMfIqFQSMccc4yjx/vpT3+qa6+9NvV1fX09AUgXSjScSR8XL6Pmo+dtaTjTemLcOXGIpzqdAQDcz7QsRdKsaImEpLgdnEAI0BEy1XxMZj7att3GTMt/4patiNH2vLEklMjMBuANbWU+SskbmUE4o/mXq4OPO++8s1avXt1i26pVqyRJPXr0yPnxysrKVFZWppqaGtXU1KQCmHCX7DUfyXz0uliGhjPJpFeTtxgAPCOWof5c2OCcDuRb3LRUkuaYKwvbMm0j0Qiqg8dVDKZlK00SqCKGrRg3tAHPaI4lg48tD+qwIcU5lD3N1cuuDzzwQM2cOVOWtWXGOmPGDHXr1k177rnndj9udXW16urqVFtbm49hIs+anSy7JvPR0zI1nEnexCfzEQC8I9OqhUjI5oIByLOYmb7DfHKOFZQSNvEMy64joeC8DoAfpMt8jIRYdu11rg4+XnDBBdqwYYNuu+02WZalL774Qn/5y190ySWXtFqOnYuamhpVVVVpxIgReRwt8iUat1SWseGMyHz0OGeZj3y6AIBXNMVMlae5q8RSKSD/YqalSJr5cjIhMig3chOZj+nmlbZiLLsGPGPx2ib1qmi7ez0lXLytqMHHMWPGaMCAAXrggQc0Z84cDRgwQAMGDFBDQ4MkqV+/fpo2bZruuece7bDDDho8eLCOPfZY3XLLLe36vWQ+ulvUtFSaYdl1achWlOCjp0VNW6XpMh8DNmEGAD9ojlnqlCH4SOYjkF9xy0677DpoJWwSNR/b/l4kxJwS8JJVm2LqWd765EXDGe8ras3HBx98UNFotNX2Tp06pf59/PHH66uvvtKKFSvUtWtXde7cuSOHiCJILN1Kf1cjYkhRzjyellh23fZ7aBhS2LDJfAQAD2mKmyqPhKQ2ymknlj2SrQDkUyxupV12HQ7YsmvTspVu0VSJYdNwBvCQRBmFthrO2CL/yNuKGnzs3bu3o/0Mw1DPnj3z9ntpOONuzXEzY8OZSMjWpoBMpvwqsew6/ffDBnepAcBLmmKmykraDj6S+QjkX8yyFEkTfIwEbBXJlm7XrV+PcCjxWgHwBjNNDVdKuHifq2s+FgrLrt0t0XAmU/BR3MH0uEyZj1KiPk9Q7tYDgB80xay0Nw4jIYmPbSC/YqadtslTOGD1szN1uybzEfCWLTcTWgrTcMbzAhl8hLtlW3ZdYtiKcebxtEw1H6XEh0tQ7tYDgB/EzfTdrhPZ7GQrAPli2/bm7KC2j6tkCZugzKVMS20GKyRqPgJeEzfbvpnAKgrvC2TwkW7X7pat4QyZj96Xqdu1lFguxEQRALwjniEQEuGCAcirZPfmdMuupc1LFAMyl8pU83HHUkvL6lv3GADgTukaSCUaznAj08sCGXxk2bW7NWdYuiWxJNcPsi27puEMAHhLpuBjp4gt0zbUFKPuGpAPyTlSum7XUrAyH2OWlXbZ9cAuppatb+7YAQHYbombCW01nOFGptcFMvgId4tmWLolJTIfKRztbTHTVkmGG1cskQEAb4mb6ZtfdC1N/L2hOd6BIwL8K755HhzKEHyMBCjzsTlmqTzc9nMNGbZMOxivA+AHmTMfO348yB+Cj3CdaNxSaVtnnM0iFI72vGjWzMfgTJgBwA8yZT6Wh6XSkK0NTW20wgaQs+Q9+LCRIfMxQDdyG2OWOqUJPkZCzCkBL4mnaSAVDklxll17WiCDj9R8dLdo3FJZhszHkpBoOONxiZqP6b8fCdBSIQDwg7iZPvgoSZ0jtjZFCT4C+ZDMfAxnzHy0A5Ml1BAzVRFp+8lyQxvwFtNquzdAz062vtwQLsKIkC+BDD5S89HdmuKmyjJEpiIh6gF6XdaGM9ylBgBPiVtWxkBIachWNE7JFCAfksuIM9yr39xlPhhzqcaopYqMy647eEAAtlu6zMe+XWytbg5k+Mo3ePfgOg1RUxUl6e9qRAy6XXtdzLRUSuYjAPiCZSUyrEoydN4tDdmKmgQfgXxI3qDNuOw6QBl/jRlqPkaMxDkKgDeYlq1IG0kqidWPLLv2MoKPcBXTSmRGVGSITEVYdu152TIfgzRhBgCvS94syrTsujQsRblxCOSFadkyjMwNZ4LW7TrdvDIUoAxQwOtMy1Z9U1xd2yijUBqyFeUepqcRfISrNEQTnTArSjNlPtJwxuuy1nwMUJF0APC6ZP25jMFHll0DeWNZmbMepWCVsEnUnG37exG6XQOesWpjs6KmrT6dW9eILg1LUTIfPS2QwUcazrhXYyxxoumUITKVSLnmAsbLYlm7XdtidR4AeENs8w3BSNZl1wQAgHzIVmNVClbNR9OyVWKkz3zksgHwhuaYpbChNstzlYYIPnpd3oKPtofuKNFwxr2SGY2ZsiciBKY8L2baKs3UcCZAE2YA8DrTwbLrsrDIfATyxLLtrMHHxHw5GHOpmGWnbb4TpCAs4HVmhnNbaUiKtk6IhIdsV/Dx7rvvTgXuli5dqv3220+dO3fWNddck9fBIXhMy1bIkIwMS0kiISlO9NHToqaVcdl1mI7mAOAZyc/kSCj9ib00ZCvGZzeQF3Ere/AxHKASNnHTViTNyxExbFkeSpIBgiwRC2j7YG62pNeWl3fwiJBPOQcfFyxYoLvvvlsHHHCAJOm2225Tjx499NBDD2nq1Kn6z3/+k/dBIjgsO/0JJyli2DSc8TDbtrM2nCHzEQC8I3m+Tpd5JCWWPrLqGsgP00nwMUBdnuNpuuNKm889AXkdAK/LlNXdtzPHsddFcv2BGTNm6OCDD1Zo893tF198UY888ogOOuggffjhh3r77bd1+OGH532gCAbLzty5T0pmPnLy8SrTsmVLmTMfmSgCgGckmj0YGVcthMk+AvLGtOysDWeC1O06bmXIfAwlri8AuJ+ZoYTCnt1sdQqzgsLLcs58DIfDWrdunSTp888/18qVK/Wd73wn9f1ME0+3oOGMezmZTJWEgjOZ8qNkY4LMNR/paA4AXhG3rIzNZqTEhJOmD0B+OMl8jAToRq6ZJfOR6wbAGzLFAhIrKNwfa0J6OQcfR48ereeee04/+clPdP755+uMM85QOByWJP3nP//REUcckfdB5hsNZ9zLSQFtCkd7W7LhQLo71FKw6hQBgNclljxmnlImLho4rwP54Gi+HKCb9bEMNR/DAWq8A3hdphsrYUNiGuFtOQcfBwwYoKlTp2r+/PkaPHiwfve730mSZs+erb322ksHH3xw3geJ4Eg2nMmkhGXXnrahOaaQIVVEMtd8ZKIIAN4QM7NnPlJOA8ifuEnm49YSN0Da/l5JaMuqGwDuZmbo/0DtaO/Luebja6+9JtM09dxzz7XYvt9+++m8887T008/rdNPPz1f40PAOFtGQsMZL1vfGFNleSRjkDlIdYoAwOtMh5mPZCwA+WE6XinUQQMqskTNx7ZPMGUhW1EzIC8E4HFWhpqPIcOWJUO2bYvF196Uc+bjRx99pBkzZrT5vQ8//FDvvPNOuweF4HKyjCSR+cgkwqvWN8TUrTzzfY9IKDh36wHA62KbG85kEjJsll0DeeK04UxQ5lJx00rbyLA0ZKs5KFFYwOOyLbuWuJHpZTkHH9NpamrShx9+qF122SVfD4kASiy7zp75aNqSzZnHk9Y3xrRDp8zBRzIfAcA7TMtm2TXQgZysFAoHpM6qbSeuC8LpMh/DW+qNA3A3087ccCa5D7zJ8bLrP/zhD7r++utl27Zs29Yf//jHFt83TVPdu3fXLbfcku8xIkCcFdBO/B23bJVkudiB+6xrjKkyS/AxSHWKAMDr4qblIPORbAUgX5wGH4NwIzf5HNPVfCwLJ4KTcdNSJN16TgCuYFnKmvloWlJJB44J+eM4+Dh27FhVVVXpySef1Nq1a3XxxRe3+H5lZaWGDRumrl275n2QCA7TUtbMx5LNdzbjpq2ScEeMCvlUv7nmYyYRul0DgGeYtq2Qg+Aj2QpAfjgKPoZsWQGYSyWbUGaq+ShJzXGCj4DbxS0rbV+AUGrZtf/Pa37lOPg4YMAADRgwQPvvv79isZj69u1byHEhoBw1nNk8b4hZljqJ6KPXxExLZeluT28WCVCdIgDwOurPAR3L0UqhwGQ+JpZUZ8p8lBLBx85lHTUqANsj07mNZdfel3O361133VVSIuK8cuVKRaPRFt/v2rWrunXrlp/RFUhNTY1qampkmmaxh4JtOGs4syXzEd4Tt7I3JgjKhBkA/MDJZ3dILLsG8iXuoEZ62JCCMJXakvnY9vdTAYsgvBiAx2VaBbn1smt403blnt98883q2rWrdt11V/Xr16/Fn//3//5fvseYd9XV1aqrq1NtbW2xh4JtJBrOZN4nOblI3umEtzjLbqXhDAB4hZOSKSy7BvLHdHQjNxjZxltqPrb9XMMs1QQ8I9O5jWXX3pdz5uOMGTN0xx13qKamRsOHD1dJSctynzvttFPeBofgMR0uI5HIfPQqJ5mPZWFpXYzgMgB4gbPmFzbZCkCemFb2OqtB6TCfWnadLvNx89/c/ADcz7JthdKkx21Zdt1x40F+5Rx8nDNnjs4++2ydf/75hRgPAs5ysIzEMKRIyCD46FGJi9TM+1SEbTUSfAQAT7AcNpwhWwHID2eZj8EIuMXNxKqpdC+HYUiGghGIBbwuUw3pMCUUPC/nZdf9+/dXfX19IcYCOMqekBLBxxjLrj0pbmafMHcK22qIUZMVALwgcbGQeR+WXQP5Q7bxFk5W1CRufnTQgABst0w1pJPzDIuD2bNyDj4ec8wx+vLLLzV16lTFYrFCjAkB5qRovSSVhMl89CrTsrK+x50ithqjBB8BwAucdt4NQiAE6Aim7azhTBAyhOKmlT0LNGQE4rUAvC6ZydyW5GYOZe/KOfh4zz336JNPPtHZZ5+tTp06qUuXLi3+/OxnPyvEOBEQTorWS5uXXZP56ElO7lCXs+waADzDdFAyJdHtmisGIB8sll2nRE1LpZHMl7SGYZAtBXhApv4PhiGFFIxGWn6Vc83HE088Ubvttlva7++5557tGtD2aGpq0po1a9SrVy8ZDgJXcC8nDWekxB1MMh+9yVG3a8MOxIQZAPzAyXk9ZNgUiQfyJO6w4Uw0ABfpzXFLZVmCj2GDpZqAF1hZ5hMcy96Wc/Bx0KBBGjRoUCHGsl1uv/123X777SopKVGPHj300ksvqV+/fsUeFraTlaHI7NZKwmQ+elUi8zHzJDFkSLy9AOANzpddc8EA5INlK+t8ORyyFQ/AMdccs1SapehsyDBYqgl4gGlnjgWUhm3FuJPpWTkvuzZNU01NTWn/xOPxQowzrebmZi1dulTLly/Xd77zHU2ePLlDfz/yy7RsZYlLSdrccIYTjyfFzew1H4OyVAgA/MBJyZQQ2QpA3lgO5suJuVTHjKeYmuNm1szHUIibH4AXJDIf03+/NCQ1xclQ8aqcg4933nmnOnXqlPbPjTfemNPjrVq1Svfff78ee+yxtPvMnj1b999/v5566ilt2rSpxfd+8YtfqLy8XIZhqLS0tCjLvpE/loMC2pJUEg6x7NqjnNR8DBuJDx8AgPs5KZmSCD520IAAn3MyXw4FJNs46mjZNTUfAS/IVkO6NGQrSvDRs3Jedn3OOedo5MiRLbZt2rRJzz33nP7973/rBz/4gaPHMU1TF1xwgV5//XV17txZlZWVOuuss1rtd8MNN+juu+/WCSecoAULFuiaa67Rm2++qQEDBrTYb/LkyWpsbNR5552X61OCizjtdk3DGe9KTJgz70NtMADwDstBw5mwQZF4IF8sO3u2cSQgx5yTmo8hw6CcD+ABpq2MsYCysK0oF4melXPwsU+fPurTp0+r7WPGjNEZZ5yhuXPnavfdd8/6OLZt67jjjtPkyZN14403asaMGa32eeedd3THHXfozTff1BFHHKFYLKbRo0frqquu0jPPPJPa7ze/+Y0WL16shx56iIYzHue02zUNZ7zLSVdUaoMBgHeYWZZJSSy7BvLJyY3coDRmiMYtlWSr+RgKxmsBeJ1pZS7PVRpK3HCAN+W87DqT/fbbT7Nnz3a0byQS0YQJE1ReXp52n6lTp6qqqkpHHHGEJKmkpESXXnqpXnzxRW3YsEGSdMkll+jDDz/UNddco4ULF2r58uVpH6+5uVn19fUt/sBdnHa7puGMd1lZ7mhJwZkwA4AfOFm1wLJrIH8sh92ug9BwxnRQzidkGNQSBzzAtDI302LZtbflLfi4atUqPfPMM9pll13y9ZCqq6vTkCFDWmwbMmSI4vG4PvvsM5mmqenTp6uurk6nn366Tj/9dNXU1KR9vEmTJqlbt26pP3TFdh8nS7ckGs54me102XUAJswA4AeOMtrFeR3IF9NBzcewYQdiqbFpOwnEGrIJPgKul7iZmf77ZWGbzEcPy3nZ9eTJk3XLLbe02GaappYvX66qqqq81lzcsGGD+vfv32LbjjvuKEmqr69XOBzW/PnzHT/eT3/6U1177bWpr+vr6wlAuoyTpVtS4g4mUwhvMi07a3mEMBkyAOAZjhvOcGIH8sKyM2cHSZsbzgQg4GZadtbXwjASGVUA3C17wxlR89HDcg4+jhw5UjfddFPLB4lEtNtuu+nwww9XJJLzQ6bVqVOn1PLqpORS6YqKipwfr6ysTGVlZaqpqVFNTY1M08zLOJE/ThvOGIa4g+lRjifMXKQCgCdYDi7+WXYN5I9t2wpluVkfCciya8vOvuw6HKLbNeAFiUQkll37Vc6RwmHDhmnYsGGFGEsre+65Z6sakl988YUMw9Aee+yx3Y9bXV2t6upq1dfXq1u3bu0cJfLJydItKRF8ZBLhTU6LpAfhbj0A+IFpyVH9OW4qAfnhZL4cMuxAZBubVvZALJnXgDdYtq1M/aNYdu1t7ar5uGbNGn3yySdauXJlvsbTwqmnnqpZs2a1WFr98MMPa9SoUdppp50K8jtRXE4bzoQMQ8SmvMlZ8DEYdYoAwA9MO3vmY9iwuWkI5IllK2vwMRIKRuajk2XXIcMg8xrwgGjcUmkkfYiqLGQrSg0Fz9quNdKzZ89WdXW13nnnndS2fffdV3fddZcOPfRQx4/z6KOPavXq1fr444+1cuVK3XXXXZKkyy67TCUlJTr55JN12mmnacyYMbrwwgs1d+5cvf7663rjjTe2Z9gpLLt2LydLtySWb3mZ5SBDJih1igDAD5x03jX43AbyxukqkiAcc6aD8w/zSsAbmuOWSjM0gCgLS9E4x7JX5Zz5uHbtWh1zzDHq1auX3njjDf33v//VjBkzdMABB2jMmDH66quvHD/Wl19+qfnz52ufffbRKaecovnz52v+/Pktavk9+eSTuv3227Vx40YNHz5cc+bM0Xe+851ch91CdXW16urqVFtb267HQf45WbolJe9gcuLxIstRh0aW5wGAV5hZulNKnNeBfHIS8A8Zwegwb1LzEfCNqGmpNJK55iPLrr0r58zHF198UXvvvbcef/zxVMfaPfbYQ6NGjdKaNWv0xBNP6LrrrnP0WP/7v/+bdZ9QKKSzzz5bZ599dq5DTYvMR/dycidXouGMlzleds3bCwCe4GTVQlCysICO4GjZdUAC/onzT+Z9DGo+Ap4QjVsq7ZT+bmZpyFYzy649K+fMxzVr1mjIkCGpwOPWqqqqtGbNmrwMrJDIfHQvO4eaj8whvMnJhJlu1wDgHU6WPRrivA7ki+VgvhyUpcbOGl5x3QB4Qbaaj4nmUR04IORVzsHHoUOH6oUXXtCSJUtabF+9erUee+wxDR06NG+DQ/CYtt1mYHtbhuh27VXO6xTx/gKAF9BwBuhYlm0r23Q5YtgKQoKQaVmOGs5w8wNwv2jcUmmGVOZwQG6q+FXOy66PPPJIjRgxQkOGDNEpp5yiPn36aMWKFXruuec0ZMgQjRs3rhDjREAksuKy70fDGe+yrM01HzO8f9QGAwDvsCxbpSWZ72ez7BrIH2cdnoMxlzKdZIGGKNcEeEFz3MyY+Rg2pGgAzmt+lXPmoyQ9/fTTqqmpUSwW04wZM7Rx40bdeuut+s9//qOSkpJ8jzHvampqVFVVpREjRhR7KNiG5SB7Qtq8bJdJhCdZdmISmEnIsGXy9gKAJ5i2s27XQQiEAB3BSQmboGQImZYcLEE3AvFaAF4XNS2VZch85BrR23LOfJQSTWAmTpyoiRMn5ns8HaK6ulrV1dWqr69Xt27dij0cbMW25WzZNRkUnuW027XkrJsjAKC4TEsOl1130IAAn0usIsm8T1BK2CQSFzLvQ81HwBuy1XxkdZy3bVfm4xdffKHFixe32LZixQrNnz8/L4NCcKWW5GaRaDjDiceLnC4VkoJxxx4AvM7JjaKgBEKAjmA5yTaWHYhFQk4aXoXodg14QqLmY+bgI3MJ78o5+Lh27VqdeuqpikRaJk126tRJZ511VqtGNG7Esmv3ouaj/9kO3uOwkXhzubMFAO7npOEM3a6B/HGy7Dooq4Qc3dQOkbQAeEFz3FJpJMuy6yCc2Hwq5+DjSy+9pP3220+9evVqsb2yslLHHXecpk2blrfBFUp1dbXq6upUW1tb7KFgG07u5EqJCRWFo73JctDRPLXsmvcYAFzPsmxlSFSQRMMZIJ8sJ01WAjRXznbpEJTmO4DXRc3smY/UfPSunIOP9fX1Mk2zze/F43GtXr263YNCcCUCU9n3M1h27VmJroSZ90ktu2aiCACu56ThTKLmI+d0IB+czJdDCkbA39lNbSMQS9ABr8tW85ESCt6Wc/DxkEMO0XPPPad58+a12P7VV1/pkUce0cEHH5y3wSF4nDQjkVh27WW2ww6NkmRZHTAgAEC7OFn2SLdrIH+cHnNByHxMXDtk3scISOdvwOsSNR/TH9BhQ4ozl/CsnLtd/8///I/Gjx+v4cOH69RTT1X//v21dOlSPfPMMzrmmGN0/PHHF2KcCAjnNR/JfPQqJ3frUzUfeY8BwPWcLAFl2TWQP05u5BoKxjHnpP5lmJqPgCfELVslGZdd22Q+eth2dbu+9957NXnyZDU1Nemtt97S2rVr9bvf/c4T9R4lGs64me2gaL2UrGPTAQNC3uXU7ZoPFwBwPdPKvmqBDpVA/jipkR4ybAXhiLMdZD6yVBPwBjtLkkqifmvHjQf5lXPmo5Sotzdx4kRNnDgx3+PpENXV1aqurlZ9fb26detW7OFgK5alrHVbpMQ+QVhK4kfOul0n/uZCFQDcz7SyZz6y7BrIn0TAP/M+oYAE/BPXDpn3SayY6pjxANh+2VZBhimh4GnblfkIFAo1H/3PyXucPDFxoQoA7mdaThvOdNCAAJ9zstTYUDBWCTmaVxoGc0rAAyzblqFMNR9Zdu1lBB/hKk5rPibq2HDi8SInS4UMI5lWz3sMAG5n2spaToNl10D+OFt2HYxjzsm1QzgUjNcC8Lwsx3PISMw54E0EH+EqtoPJlMTyCS8zLWcB5jBNhQDAEyzLVob68JISNw2p0wTkh6MOzwpG5qPtIPPRYE4JeEK2TOYw9Vs9jeAjXMV00AlZSjac4cTjRU4miRL1wQDAK5w1nLG5+AfyxHKQbWwEpESR5eDaIUzSAuAJlp25hmuImo+eFsjgI92u3ctJDRuJO5he5uRuvSSFQ7zHAOAFpp294QzLroH8sRwE/EMKRsDfybUDpXwAb7CVrdu1HYiMbr8KZPCxurpadXV1qq2tLfZQsA2ngalE5mPhx4P8c5IhI0mRkKE4E0UAcD3LcbfrDhoQ4HNOaz4GYa7s5NohFDJYMQV4QLabCSFxI9PLAhl8hHs5XZJLzUfvsh02FSoJG4pTURgAXM908NlN5iOQP4kbuZn3MYxEFpHf2Y4zHztoQAC2m23bGXpdbz6v+f+05lsEH+EqluVs2TU1H73LcrA8T5IioZCizBQBwPWcZD4maj520IAAn3MScDNEzcckmhgC3pDt3BaSAnBLxb8IPsJVnC67FhkUnuW0qRCZjwDgDU4yHxPdrjmnA/ngdNl1EObK2brjSsF5LQCvy3YzweBY9jSCj3AVy1bWyZTEsmsvc9KhUZJKw4ZiZD4CgOuZlmg4A3Qg00mdQwVjeaLloJxPiCaGgCc46XZNDMC7CD7CVRJ3O5wtu2YS4U1O63pGwiGCjwDgAYll15n3CdNtFsgbJzdyQwEpdeBkXhkyDGo+Ai6XLKmWedm1TQzAwwg+wlWcd7s2AnE3149My/my6xjLrgHA9RwtuyZbAcgby8p+s95QMOqjW7aUsUOFyLwGvCB5iGaKBdBwxtsCGXysqalRVVWVRowYUeyhYBuWgwLaEvUevMyysy/Pk6SSkKE4t6kBwPWcNpyxFYxgCFBoTpr3BSXgbztIXDAMQ1YQXgzAw5JHaMZu1yIG4GWBDD5WV1errq5OtbW1xR4KtuFkAiGR+ehVW9Lps+9bEqbbNQB4gWXbWZeAhjd/m6XXQPuZlrOaj0G4SHeSuBAOJTK0AbhX8nyVKas7ROajpwUy+Aj3ouajvyUvOp3VfKTbNQB4gZNmcclvEwAA2q8pZqo0kvkyLijLE52UbAqTtAC4nuUgSSVxU6VjxoP8I/gIV7Esh8uuRbdrL7Ic1PJIMrQl/R4A4F6Wg5qPYSNxRrdIaAfaxbRsLV7bqAE7dc64X0jBmEfZduZMKSnxfbKuAXdL3iDInvnIsexVBB/hKokaNtn348TjTVvuaDmr6wkAcD/bzn5TKUzmI5AXpmXLtGx1Kg1n3C8o9dEdZT6GgvFaAF7mrOGMTQKShxF8hKs4yZ6QgjOh8hsn6fRbI8AMAO7npGRKiJqPQF7YDvMZQwG5SHdy7RAyDK4bAJdzkqRCwxlvI/gIV7EcLJ2QkpOIDhgQ8iq17NpB9JFl1wDgDc5qrm3elw9voF1SSxOz7Jf8vt9v5FoOMq9DBiUfALdzcqYKGVwfehnBR7iKkwsYiYYzXpXqYuZgXydBaABA8TnpNhtK1nzksxvIC6fZxn6P99uOMq8NSj4ALue04QyHsnd5Pvh49dVXa9CgQRo0aJDWrl1b7OGgnZxcwEiJfTjxeI+9+a5z2PG668KNBQCQH7ajhjOJvwkAAPmRbSaVPObiPk/5c5L5GA6x7Bpwu+R1Yqb5BAlI3ub54ONPf/pTvfzyy9q0aZNM0yz2cNBOtsPMR9FwxpNyynyU87pGAIDiSZRMybzPlmXXhR8P4GdOp78locSOfq+z6qTmo2FQ8gFwu+R1X6bDOdH3oYMGhLxzRfBxxYoVWrZsWdrv27atFStWqKGhodX3dt11Vw0aNEjhcOaOb/AGJ0XrJWo+elXyLXO0oppV1wDgCY4u/jf/TeYj0D5OLtClrTMf/X3MOcp85LoBcL1Ub4CMy65tfb22SesbYh0zKORV0YKPtm1r6tSpGj16tPr166dTTjmlzf3+9a9/qX///tpzzz2144476sILL1Q0Gu3g0aKjWJbTZdekXHtRKvPRYT1H3mIAcD/LshXKMqM0jGTTB07sQD4YWe7SRjbXWY2b/j7mEjUfM+8TMrjxAbhdLteJC1ZsKPRwUABFCz7GYjFNmzZNv/jFL/SDH/ygzX0WL16sM844Q5dffrnWrVunTz/9VP/+97910003dfBo0VEs21bYwf/KBd826PlP0mfLwp2cdmhM7sM0EQDcz3ZYrzlsGL5fAgoUmtMYWmTzfNr/NR+zZ16HQgblmgCXc3KdaNqJ70bCLJHzoqIFH0tLSzV16lQdddRRaff5v//7P3Xp0kU33nijQqGQdt99d/3whz/U5MmTFY/HO3C06ChOl13XLdvYAaNBviWXCjm5SKXbNQB4g+WwXnMoRMdZoL1SR1CWYy6SXHbt88zHxKqpzPuEDP/XvgS8LnmDINN1YvJ0VpJtuQVcydXvWm1trUaOHKnQVv+5Dj30UK1bt06fffaZJOnOO+/UoEGDtHz5ch144IG64oor0j5ec3Oz6uvrW/yBuzjtdu3zeZRvpe5oOW12zfsMAK6XaDjjJPORZddAe9mppYmZ9zOMxDHn96Cbk8xHaj4C7uek5mN88z5kPnpTpNgDyGTlypUaPHhwi20777xz6ntDhgzR+eef36JeZJcuXdI+3qRJk/TrX/+6MINFXjjNnvD7RMqvbAcfKkl0uwYAb3By8S9J4RABAKAjhUOGYqa/l13bdvZAbMgwuPEBuJyTZlqmlfhmCcFHT3J18DEUCrVaXh2LJTobJbtbd+/eXd27d3f0eD/96U917bXXpr6ur69Xv3798jRa5IPTulE0m/GmXAoJGwaZjwDgBY6XXVPzEWi35BHk5NK7JBzy/THnrOYj1w6A21mpFXLpj+d4KpGF4KMXuTr42LdvXy1fvrzFtuTXffr0yfnxysrKVFZWppqaGtXU1Mg0zbyME/ljOehYJ5H56FW2nC+55iMFALzBacmUMAEAoN3srS/QsxxO4ZAU9/mc2bLtrHPGkGFQsglwOcvKfiMzbnOF6GWurvk4evRovf3229q4cUtzkZdffln9+/fXgAEDtvtxq6urVVdXp9ra2jyMEvnkdOmWz+dRvmVZ2SeIW+NtBgD3c3rjkMxHIH+czKciIcP3DWdsZb/5ETZEt2vAA7KtjotvriLB0exNRQ0+Ll26VIsWLVJ9fb2i0agWLVqkRYsWpT4cJk6cqF133VXnnnuuZs2apQcffFB33XWXfvGLX7Tr99bU1KiqqkojRozIx9NAHiU61rHs2s+cpskbhlh3DQAuZ9u245IpYbpdA+2XwyGUyPjz9zGXOP9k3sfgxgfgek5KuBy2a7MkLhG9qqjLri+88EItWLAg9fXo0aMlSXV1daqoqFDnzp315ptv6mc/+5nOO+88de/eXffee68uuOCCdv3e6upqVVdXq76+Xt26dWvXYyG/nDecKfxYkH9Os2MkyWDhNQC4np1D/aUQ3a6BdmvRlCHL4WQEIOPPydwy0ezK368D4HWWnT3zcacyWxUlIZH76E1FDT7+61//yrpP//799fDDD3fAaOAGiQlE9guY8hJXVwxAGraDD5UW+xdwLACA9kte0NNwBugYqZqPDm7SGjJ8P5dy1HDGSKyuAuBetsMkJHhXICM4LLt2r7hpqySc/azz+9P37IDRIN+cFAVPods1ALiek+6USSy7BjqWEYC5VKJkU+Z9QgaZj4DbWbbDmyqG4fvzml8FMvhIwxn3isYtlUXCWffbqXOpSiOB/O/raU6Kgidx4wsA3C+XzMdwAAIhQKElDyEn0ymjxU/4k+0w85EbH4C7Oc18dFBxAi5F9Aau0hy3HAUVc1i5Cxexc6j5mNwfAOBeOdV8DLHsGmivXOZGgch8tLNfFyRqPnbMeABsH6dJKkE4r/lVIIOPLLt2J9u2FTUtlTnNaOSk4zlOO6JKmz9YCjweAED7bMl8dLDsOgCddwE3oeZjgkGzK8D1LNtm6ZvPBTL4yLJrd4pubmHtKPNRW7r9wTusHD5T6HYNAO6XCj46mFGGQgQAgPbKadl1AKZSlp297EOYmo+A6yXqtzo7aREH8KZABh/hTtF4DsFH0q09yVZud7R4jwHA3awcll2H6XYNtFsu3a633t+vnNV85NwDuJ0thzUfiQN4FsFHuEZzMvgYdpL5GIBbuT6Uyx0tll0DgPvZuSy7DpF9BOSL06xGv9fPthzUEw+FCFYAbmfbiU7W2Rii27VXBTL4SM1Hd0ouxYo4uOVBYMqbbDlvOGPI/xNmAPC6ZDKRk3N7IvuosOMB/C6X5YZBmC9bDuqJh6g3C7ie5bTbtcGya68KZPCRmo/utKWGjdNlJJx0vCbXhjMAAHfLqeFMSAQAgPZKLbvOLnEjt5CDKT4nAQtqPgLu5zTzEd4VyOAj3MnOYTIl+f9Orh/RxAwA/GVL8DH7viHD4MYh0E653Kw3DMP3GUJObmyH6HYNuJ5l29xU8TmCj3CN5OTIafc+Tjrek6jL4zDzkXoeAOB6yfO0k8zHkCGaPgAdyJB8f7feWc1HQ5x6AHdzUkJBYnWclwUy+EjNR3dKZT46KjQLL7KVwwcGbzIAuF4y89HJuT0couMs0F65rBQKRs1HB8FHbnwAHuCw5iMJKp4VyOAjNR/dKZdzCPUgvMlpIeEkvy8VAgCvs+xEgMPpjUPO6kD75LRSSP5fKWRadtZmldz4ANzPctrtmoYznhXI4CPcyXZw57Ktn4F3JGo+Ol127f8JMwB4nWXZjhuJhYKQhgV0EKc1H/3OdHAOioTodg24nWXlHguAtxB8hGvk0owkuR/zCG+xc8h85MMHANwv0ezB4c6G6DgLtFOuh5CfM4Rs25ZlK3vmo0HmI+B2tpzVfJSIAXgVwUe4iuNmJJt347zjLYmaj86jiry/AOBuuTUS47wOtFeux5CfL9KTAcUwy64Bz3NSv1UKRi1bvyL4CNfYnsxHeEsu6fQUEwYA98ullq9hcF4H2iuXMkV+v0iPOw4+0nAGcDvbabdrGZRe86hABh/pdu1OTu92SFuy5zjxeEsu3a5Zdg0A7pcIPuaS+cjnNtBREvWz/XvMJcs4hLOcgsh8BNzPtrn+87tABh/pdu1OuS7JTf4MvCOXi1SJi1QAcDvLYaaClKgN6eM4CNAhclopZBi+nkk5znyk5iPgepZtOzq3+T2j288CGXyEO9kOTzgtf6YgQ0Gh5Li0nvcXANwtt1UL/s7CAjpKLnVW/XyVbprOaz7GLasjhgRgOzlNUuEa0bsIPsI1tmdJLplx3pJLFzPS7gHA/Swrh/O6/J2FBbhNIkPIv0edaTsLPkZChiybmx+Amzm9TjT8flfFxwg+wjUSy0hyuJMLz7FyWCvEewwA7pdLwxmx7BpoNxo0bpHqdp0lYJEMTrL0GnAvp820aErqXQQf4SLb03CmgMNB3uUyYU7szxsMAG7mtDul5P/mF0BHsHOYL/s94J8KPma5ok0FH/38YgAeZ1m593+AtxB8hGvkGpiC9+TUcMbgrhYAuF2i5qPzchqc1oH2c75SyN9zKdNKZF5nOwclu2GT+Qi4V2LZdfb9mEt4F8FHuEYu3a6Te/l5QuVHOdX1LOhIAAD5kMuy65CRqLsGYPvlOvf18yFnWrYioeyXsyy7BtwvlwZ2xAC8ieAjXCOnGjY0nPEkO4fMxxUbovr9KwsLPCIAQHtYLLsGOpQtOa+f7fMO8/OXb1DUzN7FmuAj4H5OrxP9fl7zs0AGH2tqalRVVaURI0YUeyjYii2akfhdLp8T85ZtLNxAAAB5YeeQ+UgpJ6D9bNvOqeGMny/RG6Jx7d6jc9b9kgENYo+Ae9m281WQHMreFMjgY3V1terq6lRbW1vsoWAruWU+0nDGi3LKkOEiFQBcz8rhYsHv9ecAtzF83nDGsqVdu5Zn3S95g8Ty84sBeJzlMBbAJaJ3BTL4CHfKpWh9ElMIb7FzqOUBAHA/y7bloORagkG5FKC9cquf7e/cR6c14gyCj4DrOa0hbdCU1LMIPsI1EqnWuf4MZx4vya02GFFKAHA7K4daviGDZY9AeyVWCuXQYd7Px5zDeWVoS7F4AC6V6HbtoOajuJHpVQQf4Sq5N5yBtzjPfCRDEgDcz87xppKvAyGAy/h9KuU083HLsuvCjgfA9nO6Qs7wd0K3rxF8hGvkdgEDL8qlNlgS2a0A4F5OL/6lzVlYXDEA7ZRDCRvD39foTlfUJOeeLLsG3Gt7SrDBWwg+wjXs7ciKYw7hLbk1FUr8zV1qAHCv3Mpp8LkNtFdOcymfZxs7rREnJeaVBB8B90okImXfj8RH7/JF8HHVqlV65513VF9fX+yhoB0S84Fciz4WYiQolFwmiVv/DADAnXK9+CebHWifRMOZHGo++niynMtrEaJJBeBquWQycyx7k+eDjy+99JIGDx6s6667ToMHD9Ynn3xS7CFhO+Xevc/fEyo/ymWSmPoZ3mIAcC07h4YzXDAAHc/Px5ydw82PkN+b7wAel0sZF2IA3uT54OP111+vqVOn6t1339WvfvUr/frXvy72kLCdbNvOeUkuvCWXSWIywEzmIwC4l2XlkIUlFiwA7ZXbsmt/H3OW5bxGnGEYzCkBN8uhjAuHsjdFij2AOXPm6LHHHtPOO++sq666qtX3bdvWs88+q1mzZql79+763ve+p969e0uSotGovvjiCx199NGSpFNOOUWTJk3q0PEjf3LLfNz8M5x4PCUxYXa6PGbLzwAA3Cn3ZdeFHQ/gd7acRx/9XurAlrMacdq8H8FHwL2cNpwhCcm7ipb5GI/Hddhhh+mcc87RSy+9pClTprS53znnnKMf/OAHikajeu2111RVVaWPP/5YktTY2KjS0tLUvhUVFdq0aVOHjB/5l0tgKtVwpoDjQf7lkk6/9c8AANwp54YzfHIDHcbpvNqrrFyuHWTQxBBwMcvhfRW/Z3T7WdGCj4Zh6NZbb9XcuXN16KGHtrnPyy+/rKlTp+pf//qXbr/9dj3//PM65JBDdPXVV0uSunXrJtu2tXLlSknSggULtNtuu3XUU0De5R6Y8vPdXD+y7dzvVvEOA4B75VROw+DiH2ivnJZd+zv2mDj/OLyaTZynOAEBbmXL2XwiUT+aY9mLihZ8DIfDOuywwzLu8/TTT2v48OEaOnRoatv555+vt956S2vXrpUkjR8/Xt///vf12GOP6Uc/+pEmTpyY9vGam5tVX1/f4g/cI5fJlFINZ+Allm3nnN1K5iMAuJdlSyGH0ceQIdZdA+2UuJGbQ7axjw85p8s0pUSGNjc/APdy3O1axAC8ytUNZxYsWKA99tijxbY99thDtm3rv//9ryTpj3/8ow488EA9/vjjOu+88/SjH/0o7eNNmjRJ3bp1S/3p169fQceP3Fi5TKZ8fifXr2zJ8R3qVEdzq3DjAQC0j5lLt2txwQC0V06lCwx/lzqwcyn7QM1HwNXsXMpzcSh7UtEbzmTS0NCgysrKFtu6desmSanajqWlpfr5z3/u6PF++tOf6tprr019XV9fTwDSRXJJn6bhjDfZZD4CgK/ksuxahsHnNpAHuTRo9PMxl8iUcrZvKGTI4oY24FpOs7pJQvIuVwcfu3TponXr1rXYlvy6a9euOT9eWVmZysrKVFNTo5qaGpmmmYdRIl9y6nadajjj4xmVD21PzUeCjwDgXrkse6ThDNB+udV89HfAP1HOxxlDzCkBN7Mc3sxkLuFdrl52XVVVpQULFrTYNn/+fIXDYe25557b/bjV1dWqq6tTbW1te4eIPNqewBTnHW/JZWl9Em8xALiXZTnPPEoseyzseIAgyGUu5edDzs6h7IPT/QAUh+Pu9Ya/M7r9zNXBxzPPPFNz587VO++8I0kyTVN/+9vfNGbMmFbLseF9iQ5XTrMnaDjjRU67mEksuwYAL7ByrfnIKR3oMIljzr8HXU7NdwyDOSXgYrl0r+dQ9qaiLrv+/e9/r2XLlmn69On65ptv9OMf/1iSdOutt6q0tFSHH364fvjDH+qkk07Saaedpk8//VRLlizRW2+91a7fy7Jrl8ppGUlBR4ICsXJ5jzf/zYcLALhXLg0fQobBUimgnXJbdu3vG/U51Xwk8xpwNcc1Hx2fAeE2RQ0+7rTTTrJtW+ecc06L7Vv/p/vzn/+s8ePHa9asWTruuON08skntzvrsbq6WtXV1aqvr081sEHxJWo+Os+ekAhMeU4OGTJJ3KUGAPeycuhOadDuGmg3Wzkcc4kf8K1czz/MKQH3clrD1e83VfysqMHHCy64wNF+I0eO1MiRI/P2e8l8dKdc7+RKFJv1Gmu7Gs4UZiwAgPazcsh8JPYIdKxc62x7Ta41H/28BB3wOlvO5hN+LyfhZ66u+VgoNJxxJzuXddfJn+G84yl2Dl1Rt/4ZAIA7Oe1OKUkyJIs7SkC7JKZFdJiXcls1FfJ552/A6xx3uybz0bMCGXyEO+WW+UjDGS+y5fw9Tr63TBQBwL1yyTwyZPC5DbRTIuDmcGefd4XN5eaHQc1HwNVyaSDl5/OanxF8hGvkcvcS3pTL8rzkhwr1eQDAvawcLhZCPg+EAB0hlxUhfi91kMu8MkS3a8DVbIc1XGk4412BDD7W1NSoqqpKI0aMKPZQsBWnRWaTDIMluV7j9EMlsW/ib+5SA4B75Zp55OcloEBHyWWlkJ+nyjScAfzD6c0Ew++dtHwskMFHaj66VI7NSBLFZgs2GhSAncMd6i0/w5sMAG6VW8MZfwdCgI6Q07Jr+Tzgn2Pmo59fCsDrHHe7FjEArypqt2sUVmPU1PuL1hR7GI7N+WZ9zmnUM79coy9WbSrQiJBvn6/c6Ph2fXKy/P6Xa7R4bWMBRwUA2F7//XaDQg5vZRuGtGRto95auLKwgwJ87L/fbnQ8XzYkfbZio2+Pua/XNKhnt3JH+xqG9NHidYqxpAZwpUWrNqksEs6+oyHNW1qvijLvhLIMSYfv1aPYwyg677xjeVRTU6OamhqZplnsoRTUmoaofvN8XbGHkZMRA7s73nfUoJ1171ufF3A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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "half-widths (°): [0.032 0.033 0.03 0.03 0.03 0.03 ]\n" ] } ], "source": [ "ds = anri.io.read_dataset(dsfile)\n", "geo, phase, cell = anri.io.read_pars_json(ds[\"parfile\"])\n", "geom = anri.io.geom_from_pars(geo, ds[\"y0\"], wl * 2e-3 / 2.355, 1.5e-4, 1.5e-4, sig_beam=1.0, voxel_size=1.0)\n", "geom = {k: jnp.asarray(v, jnp.float32) if np.issubdtype(np.asarray(v).dtype, np.floating) else v for k, v in geom.items()}\n", "rings = ix.ring_table(lpars, 225, geo[\"wavelength\"], 6)\n", "chunk = 1 << 20\n", "\n", "def stream(groups=None):\n", " return anri.io.stream_sparse(sparse, ds[\"ybinedges\"], ds[\"omegamotor\"], ds[\"dtymotor\"], chunk, groups)\n", "\n", "# the 2theta profile of a few rows, and each ring's width\n", "lo, step = float(rings[\"tth\"][0]) - 0.5, 0.002\n", "n = int(np.ceil((float(rings[\"tth\"][-1]) + 0.5 - lo) / step))\n", "prof = jnp.zeros(n)\n", "for slow, fast, om, _, val in stream([f\"{k}.1\" for k in (16, 31, 46)]):\n", " prof += ix.tth_profile(ix.pixel_angles(jnp.asarray(slow), jnp.asarray(fast), jnp.asarray(om), geom), jnp.asarray(val), lo, step, n)\n", "offset, hw = ix.ring_widths(np.asarray(prof), lo, step, rings[\"tth\"])\n", "rings[\"hw\"] = hw\n", "tth_tol = np.abs(offset) + hw\n", "\n", "x = lo + (np.arange(n) + 0.5) * step\n", "fig, ax = plt.subplots(figsize=(13, 3.2), layout=\"constrained\")\n", "ax.semilogy(x, np.maximum(np.asarray(prof), 0.5), lw=0.8)\n", "for t, w in zip(rings[\"tth\"], tth_tol):\n", " ax.axvspan(t - w, t + w, color=\"tab:orange\", alpha=0.3)\n", "ax.set_xlabel(\"2θ (°)\")\n", "ax.set_ylabel(\"counts\")\n", "ax.set_title(\"2θ profile, and each ring's measured window\")\n", "plt.show()\n", "print(\"half-widths (°):\", np.round(hw, 3))" ] }, { "cell_type": "markdown", "id": "2cff7b81", "metadata": {}, "source": [ "The pixels go once into two histograms: the lit map (0.5° in η, 0.25° in ω, all rows summed) for pruning, and the data for the occupancy fit (1° × 1°, per dty row)." ] }, { "cell_type": "code", "execution_count": 6, "id": "a7757f0a", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:51:11.102935Z", "iopub.status.busy": "2026-10-05T06:51:11.102826Z", "iopub.status.idle": "2026-10-05T06:51:16.776805Z", "shell.execute_reply": "2026-10-05T06:51:16.776295Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "histograms: 5 s\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "lit: 0.7% of (ring, eta, omega) bins\n" ] } ], "source": [ "om0, ostep = float(ds[\"obinedges\"][0]), float(np.median(np.diff(ds[\"obinedges\"])))\n", "nk = len(ds[\"ybincens\"])\n", "lit_bins, bins = (0.5, 0.25, 720, 720), (1.0, 1.0, 360, 180)\n", "t0 = time.time()\n", "H_lit, H = ix.histogram_pixels(stream(), geom, rings[\"tth\"], tth_tol, om0, [(lit_bins, 1), (bins, nk)], chunk) # one pass\n", "H_lit = H_lit.reshape(6, 720, 720)\n", "print(f\"histograms: {time.time() - t0:.0f} s\")\n", "\n", "# a sinogram from the histogram: the first ring, eta from 80 to 100 degrees, every dty row\n", "H4 = np.asarray(H).reshape(6, 360, 180, nk)\n", "fig, ax = plt.subplots(figsize=(13, 4), layout=\"constrained\")\n", "ax.imshow(H4[0, 260:280].sum(0).T, aspect=\"auto\", origin=\"lower\", cmap=\"magma\", norm=LogNorm(1, None),\n", " extent=(om0, om0 + 180, ds[\"ybincens\"][0] - 0.5, ds[\"ybincens\"][-1] + 0.5))\n", "ax.set_xlabel(\"omega (°)\")\n", "ax.set_ylabel(\"dty (µm)\")\n", "ax.set_title(\"the {111} ring between eta 80° and 100°: each spot is lit over the dty range where its grain crosses the beam\")\n", "plt.show()\n", "\n", "med = float(jnp.median(H_lit[H_lit > 0]))\n", "lit = {\"table\": ix.lit_table(H_lit > med), \"om0\": om0, \"bins\": lit_bins, \"frame_step\": ostep, \"etacut\": 0.2}\n", "print(f\"lit: {float(jnp.mean(H_lit > med)) * 100:.1f}% of (ring, eta, omega) bins\")" ] }, { "cell_type": "markdown", "id": "34a53dc6", "metadata": {}, "source": [ "## 2. Pruning\n", "\n", "The cubic grid is a regular Rodrigues grid of the fundamental zone (other symmetries use a cubochoric grid, `anri.crystal.orientation_grid`).\n", "A coarser grid needs larger tolerances, so more orientations match by chance. `choose_grid` measures the chance completeness (the median over a sample of the grid: most grid orientations are wrong) for a few steps." ] }, { "cell_type": "code", "execution_count": 7, "id": "6e132619", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:51:16.777938Z", "iopub.status.busy": "2026-10-05T06:51:16.777826Z", "iopub.status.idle": "2026-10-05T06:51:21.399736Z", "shell.execute_reply": "2026-10-05T06:51:21.399146Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "grid 3.0°: 31573 orientations, at most 2.60° from any orientation; chance completeness 0.41\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "grid 2.5°: 52825 orientations, at most 2.17° from any orientation; chance completeness 0.33\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "grid 2.0°: 106532 orientations, at most 1.73° from any orientation; chance completeness 0.26\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "grid 1.5°: 252264 orientations, at most 1.30° from any orientation; chance completeness 0.19\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "grid 1.0°: 829249 orientations, at most 0.87° from any orientation; chance completeness 0.13\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "grid 2.0°: 1233 of 106532 orientations at completeness >= 0.63 (chance 0.26), 50868 above chance\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "chance = {}\n", "for s in ix.GRID_STEPS:\n", " U_s, d_s = anri.crystal.orientation_grid(s, ops)\n", " sample = U_s[np.random.default_rng(0).choice(len(U_s), 8000, replace=False)]\n", " chance[s] = float(np.median(ix.completeness_of(sample, d_s, B, rings, geom, lit)))\n", " print(f\"grid {s}°: {len(U_s)} orientations, at most {d_s:.2f}° from any orientation; chance completeness {chance[s]:.2f}\")\n", "\n", "step = 2.0 # the coarsest step with chance completeness below 0.3 (choose_grid does this)\n", "U_grid, delta = anri.crystal.orientation_grid(step, ops)\n", "kept_comp, comp, info = ix.prune(U_grid, delta, B, rings, geom, lit)\n", "print(f\"grid {step}°: {info['n_above']} of {len(U_grid)} orientations at completeness >= {info['min_comp']:.2f} \"\n", " f\"(chance {info['chance']:.2f}), {np.sum(comp > info['chance'])} above chance\")\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(13, 3.6), layout=\"constrained\")\n", "ax[0].bar([str(s) for s in chance], list(chance.values()), color=\"tab:blue\")\n", "ax[0].set_xlabel(\"grid step (°)\")\n", "ax[0].set_ylabel(\"chance completeness\")\n", "ax[1].hist(comp, bins=100, log=True, color=\"tab:blue\")\n", "ax[1].axvline(info[\"chance\"], color=\"k\", ls=\":\", label=\"chance\")\n", "ax[1].axvline(info[\"min_comp\"], color=\"tab:red\", label=\"threshold\")\n", "ax[1].set_xlabel(f\"completeness ({step}° grid)\")\n", "ax[1].set_ylabel(\"orientations\")\n", "ax[1].legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e22540f0", "metadata": {}, "source": [ "Completeness only asks whether something is lit where an orientation predicts spots, so in crowded data many wrong orientations pass: here thousands sit above the threshold.\n", "The intensities say more. `orientation_mlem` gives every orientation above chance one occupancy, fitted by MLEM to the histogram with its dty rows summed: like the voxel fit, it explains overlapping spots jointly, with Lorentz, polarisation and (with a CIF) structure factors.\n", "A big grain gets a big occupancy, so orientations are not kept by occupancy, which would drop small grains first, but by how much the fit needs them: the likelihood ratio, the increase in deviance if that orientation alone were removed. Above 25 (about 5σ) an orientation is kept. This is what `python -m anri.index` does by default." ] }, { "cell_type": "code", "execution_count": 8, "id": "e5fac225", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:51:21.401223Z", "iopub.status.busy": "2026-10-05T06:51:21.401099Z", "iopub.status.idle": "2026-10-05T06:51:56.285309Z", "shell.execute_reply": "2026-10-05T06:51:56.284683Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " orientation MLEM 0: deviance 5.675e+08\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " orientation MLEM 5: deviance 4.675e+08\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " orientation MLEM 10: deviance 4.654e+08\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " orientation MLEM 15: deviance 4.652e+08\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " orientation MLEM 19: deviance 4.651e+08\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "orientation fit of 50868 orientations: 35 s; 882 kept by likelihood ratio, against 1233 by completeness\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pre = np.flatnonzero(comp > info[\"chance\"])\n", "d_rows = np.asarray(H).reshape(-1, nk).sum(1) # the histogram with its dty rows summed\n", "t0 = time.time()\n", "g, lr = ix.orientation_mlem(d_rows, U_grid[pre], B, rings, geom, (*bins, om0), etacut=0.2)\n", "kept = pre[lr > 25]\n", "U_kept = U_grid[kept]\n", "print(f\"orientation fit of {len(pre)} orientations: {time.time() - t0:.0f} s; {len(kept)} kept by likelihood ratio, \"\n", " f\"against {info['n_above']} by completeness\")\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(13, 3.8), layout=\"constrained\")\n", "ax[0].scatter(comp[pre], np.maximum(lr, 0.1), s=2, alpha=0.4)\n", "ax[0].axhline(25, color=\"tab:red\", label=\"likelihood ratio 25\")\n", "ax[0].axvline(info[\"min_comp\"], color=\"tab:orange\", ls=\"--\", label=\"completeness threshold\")\n", "ax[0].set_yscale(\"log\")\n", "ax[0].set_xlabel(\"completeness\")\n", "ax[0].set_ylabel(\"likelihood ratio\")\n", "ax[0].legend(loc=\"upper left\")\n", "ax[1].hist(np.log10(np.maximum(lr, 0.1)), bins=80, log=True, color=\"tab:blue\")\n", "ax[1].axvline(np.log10(25), color=\"tab:red\")\n", "ax[1].set_xlabel(\"log10 likelihood ratio\")\n", "ax[1].set_ylabel(\"orientations\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e67ee9b2", "metadata": {}, "source": [ "## 3. Occupancy\n", "\n", "The kept orientations' predictions, then the fit on ImageD11's reconstruction grid (1 µm voxels, centred on the rotation axis).\n", "Each voxel's 64 best candidates come from the first MLEM update from flat occupancy; MLEM then fits their occupancies, every voxel at once." ] }, { "cell_type": "code", "execution_count": 9, "id": "eadfe5ae", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:51:56.286433Z", "iopub.status.busy": "2026-10-05T06:51:56.286318Z", "iopub.status.idle": "2026-10-05T06:52:55.975128Z", "shell.execute_reply": "2026-10-05T06:52:55.974662Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "candidates: 3969 voxels x 896 orientations, the top 64 per voxel\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " candidates: A 1 over 4 blocks of 1024 voxels: 18.9 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " candidates: top 64 per voxel: 11.9 s\n", "candidates: 30.8 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " MLEM 0: deviance 5.303e+08\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " MLEM 5: deviance 4.858e+08\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " MLEM 9: deviance 4.848e+08\n", "MLEM 10 iterations: 28.0 s\n", "occupancy: 59 s\n" ] } ], "source": [ "pred = ix.predictions(U_kept, B, rings, geom, etacut=0.2)\n", "ystep = float(np.median(np.diff(ds[\"ybincens\"])))\n", "_, pad = anri.geom.sino_shift_and_pad(ds[\"y0\"], nk, float(ds[\"ybincens\"][0]), ystep)\n", "nr = nk + pad\n", "pos = np.asarray(anri.geom.recon_positions(nr, ystep), np.float32)\n", "scan = {\"y0\": ds[\"y0\"], \"dty0\": float(ds[\"ybincens\"][0]), \"ystep\": ystep, \"n_rows\": nk, \"om0\": om0}\n", "t0 = time.time()\n", "f, cand = ix.fit_occupancy(H, pred, rings[\"ring_j\"], pos, scan, bins, k=64, n_iter=10)\n", "print(f\"occupancy: {time.time() - t0:.0f} s\")" ] }, { "cell_type": "markdown", "id": "8b49fde7", "metadata": {}, "source": [ "## 4. Populations\n", "\n", "Each voxel's occupied candidates are grouped into populations: candidates within 1.8 grid steps of the most occupied one join it, the next most occupied free one starts the next population, and so on.\n", "Each population has a fraction of the voxel, a mean orientation, a spread (which includes the grid's own spacing) and a completeness. Populations below 10% of a voxel are not reported." ] }, { "cell_type": "code", "execution_count": 10, "id": "c1a91dc5", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:52:55.976468Z", "iopub.status.busy": "2026-10-05T06:52:55.976368Z", "iopub.status.idle": "2026-10-05T06:52:56.849508Z", "shell.execute_reply": "2026-10-05T06:52:56.848862Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2060 voxels occupied; populations per voxel: 1: 43%, 2: 42%, 3: 13%, 4: 2%\n" ] } ], "source": [ "tot = f.sum(1)\n", "occupied = tot > 0.2 * np.percentile(tot, 99) # the sample; the raw occupancy is kept\n", "frac, U_pop, spread, _ = ix.populations(f, cand, U_kept, ops, 1.8 * step)\n", "present = (frac >= 0.1) & occupied[:, None]\n", "present[:, 0] = occupied\n", "n_pop = present.sum(1)\n", "print(f\"{occupied.sum()} voxels occupied; populations per voxel: \"\n", " + \", \".join(f\"{k}: {np.mean(n_pop[occupied] == k) * 100:.0f}%\" for k in range(1, 5)))\n", "\n", "maps = {\n", " \"UBI\": np.where(occupied[:, None, None], np.linalg.inv(U_pop[:, 0] @ B), np.nan).reshape(nr, nr, 3, 3),\n", " \"phase_ids\": np.where(occupied, 0, -1).reshape(nr, nr),\n", " \"occupancy\": tot.reshape(nr, nr),\n", " \"n_populations\": n_pop.reshape(nr, nr),\n", " \"fraction\": frac[:, 0].reshape(nr, nr),\n", " \"second_fraction\": np.where(present[:, 1], frac[:, 1], 0.0).reshape(nr, nr),\n", " \"spread\": spread[:, 0].reshape(nr, nr),\n", "}\n", "result = anri.io.tensormap_from_recon(maps, [a, a, a, 90.0, 90.0, 90.0], 225, \"316L\", ystep)\n", "result.get_ipf_maps()" ] }, { "cell_type": "markdown", "id": "69fd3ee0", "metadata": {}, "source": [ "## Against the truth\n", "\n", "Each phantom voxel (0.5 µm) is compared with the indexed voxel (1 µm) it lies in: the misorientation to the main population, and to the closest of the voxel's populations (so a twin found as a second population counts)." ] }, { "cell_type": "code", "execution_count": 11, "id": "08840a2c", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:52:56.850739Z", "iopub.status.busy": "2026-10-05T06:52:56.850628Z", "iopub.status.idle": "2026-10-05T06:52:57.950758Z", "shell.execute_reply": "2026-10-05T06:52:57.950326Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "main population vs truth: median 0.60°, within 1°: 84.7%, within 2°: 88.3%\n", "closest population vs truth: within 1°: 94.5%\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tp = anri.io.entries_from_tensormap(truth)\n", "U_true = np.linalg.inv(tp[\"ubi\"]) @ np.linalg.inv(B) # U B = UBI^-1; B is diagonal here\n", "near = np.argmin(np.linalg.norm(tp[\"pos\"][:, None, :2] - pos[None, :, :2], axis=2), 1)\n", "err = np.stack([anri.crystal.disorientation(U_pop[near, p], U_true, ops) for p in range(4)], 1)\n", "err = np.where(present[near], err, np.inf)\n", "print(f\"main population vs truth: median {np.median(err[:, 0]):.2f}°, within 1°: {np.mean(err[:, 0] < 1) * 100:.1f}%, \"\n", " f\"within 2°: {np.mean(err[:, 0] < 2) * 100:.1f}%\")\n", "print(f\"closest population vs truth: within 1°: {np.mean(err.min(1) < 1) * 100:.1f}%\")\n", "\n", "# each phantom voxel's misorientation to the closest population of the indexed voxel it lies in, on the phantom's grid\n", "n_t = truth.shape[1]\n", "ri, rj = np.nonzero(TensorMap.map_order_to_recon_order(truth.phase_ids, 0) == 0) # as entries_from_tensormap\n", "err_r = np.full((n_t, n_t), np.nan)\n", "err_r[ri, rj] = np.where(np.isfinite(err.min(1)), err.min(1), np.nan) # NaN: not indexed\n", "truth.add_map(\"error\", TensorMap.recon_order_to_map_order(err_r))\n", "\n", "fig, ax = plt.subplots(2, 3, figsize=(15, 10), layout=\"constrained\")\n", "mask = result.phase_ids[0] >= 0\n", "ax[0, 0].imshow(np.where(inside[..., None], truth.ipf_z[0], 1.0), origin=\"lower\")\n", "ax[0, 0].set_title(\"truth: IPF-Z (0.5 µm)\")\n", "ax[0, 1].imshow(np.where(mask[..., None], result.ipf_z[0], 1.0), origin=\"lower\")\n", "ax[0, 1].set_title(\"indexed: main population, IPF-Z (1 µm)\")\n", "im = ax[0, 2].imshow(truth.error[0], origin=\"lower\", cmap=\"viridis\", vmin=0, vmax=2)\n", "ax[0, 2].set_title(\"misorientation from the truth (°), closest population\")\n", "ax[0, 2].set_facecolor(\"0.85\")\n", "fig.colorbar(im, ax=ax[0, 2], shrink=0.8)\n", "im = ax[1, 0].imshow(np.where(mask, result.n_populations[0], np.nan), origin=\"lower\", cmap=\"Blues\", vmin=0, vmax=4)\n", "ax[1, 0].set_title(\"populations per voxel\")\n", "fig.colorbar(im, ax=ax[1, 0], shrink=0.8)\n", "im = ax[1, 1].imshow(np.where(mask, result.second_fraction[0], np.nan), origin=\"lower\", cmap=\"magma\", vmin=0, vmax=0.5)\n", "ax[1, 1].set_title(\"fraction of the second population\")\n", "fig.colorbar(im, ax=ax[1, 1], shrink=0.8)\n", "im = ax[1, 2].imshow(np.where(mask, result.spread[0], np.nan), origin=\"lower\", cmap=\"viridis\", vmin=0, vmax=2)\n", "ax[1, 2].set_title(\"spread of the main population (°)\")\n", "fig.colorbar(im, ax=ax[1, 2], shrink=0.8)\n", "for a_ in ax.ravel():\n", " a_.set_xticks([]), a_.set_yticks([])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "id": "55a41fd5", "metadata": { "execution": { "iopub.execute_input": "2026-10-05T06:52:57.952342Z", "iopub.status.busy": "2026-10-05T06:52:57.952213Z", "iopub.status.idle": "2026-10-05T06:52:58.065288Z", "shell.execute_reply": "2026-10-05T06:52:58.064794Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "total time: 165 s\n" ] } ], "source": [ "fig, ax = plt.subplots(figsize=(7, 3.5), layout=\"constrained\")\n", "ax.hist(err[:, 0][np.isfinite(err[:, 0])], bins=np.linspace(0, 3, 61), color=\"tab:blue\", label=\"main population\")\n", "ax.axvline(delta, color=\"k\", ls=\":\", label=f\"grid: largest distance {delta:.2f}°\")\n", "ax.set_xlabel(\"misorientation from the truth (°)\")\n", "ax.set_ylabel(\"phantom voxels\")\n", "ax.legend()\n", "plt.show()\n", "print(f\"total time: {time.time() - start:.0f} s\")" ] }, { "cell_type": "markdown", "id": "2c26b4f8", "metadata": {}, "source": [ "## What this shows, and what is next\n", "\n", "- Every grain is found from nothing, with no grain-level step: the grain shapes come out of the occupancy, and the main population's mean is within about a quarter of the grid step of the truth, better than the grid itself.\n", "- Where a voxel holds a parent and its twin, both appear as populations, with their fractions.\n", "- Pruning by likelihood ratio keeps fewer orientations than completeness (882 against 1233 here), and on crowded data it recalls small grains much better. It also keeps some decoys: wrong orientations that soak up the intensity the 2° grid cannot fit exactly (the truth lies between grid points). On this sparse phantom that costs a little accuracy (85% of voxels within 1°, against 88% when pruning by completeness alone), and gives more voxels a second population. A local refinement around each population removes the cause.\n", "- Second populations along grain boundaries are partly real (two grains in one voxel) and partly a neighbour's orientation: the beam is wider than a voxel and the coarse model spreads each voxel over two rows only.\n", "- The precision is set by the 2° grid and the 1° bins. The spread is an upper bound for the same reason." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.7" }, "nbsphinx": { "execute": "never" } }, "nbformat": 4, "nbformat_minor": 5 }