From 332e16725932aae04d2a44b523526938934d7264 Mon Sep 17 00:00:00 2001 From: Constantine Evans Date: Mon, 15 Jul 2024 20:34:46 -0400 Subject: [PATCH] Improve FFS examples. --- .../evans2024-pattern-recognition-ffs.ipynb | 434 +++++++++--------- examples/ffs/simple.ipynb | 239 ++++------ 2 files changed, 315 insertions(+), 358 deletions(-) diff --git a/examples/ffs/evans2024-pattern-recognition-ffs.ipynb b/examples/ffs/evans2024-pattern-recognition-ffs.ipynb index ba24b02..8c17c61 100644 --- a/examples/ffs/evans2024-pattern-recognition-ffs.ipynb +++ b/examples/ffs/evans2024-pattern-recognition-ffs.ipynb @@ -1,19 +1,33 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# FFS nucleation rate calculation examples for \"Pattern recognition in the nucleation kinetics of non-equilibrium self-assembly\"." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This notebook shows nucleation rate calculations for [Evans, C. G., O’Brien, J., Winfree, E. & Murugan, A. Pattern recognition in the nucleation kinetics of non-equilibrium self-assembly. Nature 625, 500–507 (2024)](https://dx.doi.org/10.1038/s41586-023-06890-z). It uses sequence-dependent binding energies, using [Alhambra](https://github.com/DNA-and-Natural-Algorithms-Group/alhambra) for the tileset definition and integration with rgrow.\n" + ] + }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "import numpy as np\n", "from matplotlib.colors import ListedColormap\n", + "from alhambra.grid import AbstractLattice\n", "import matplotlib.pyplot as plt\n", "import rgrow\n", "import alhambra\n", "import numpy as np\n", - "from alhambra.grid import AbstractLattice\n", "import polars as pl\n", "import re\n", "import seaborn as sns" @@ -21,37 +35,35 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ - "PREFIX = 'aflag'" + "ts_base = alhambra.TileSet.from_file(\"evans2024-pattern-recognition-alhambra.json\")" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ - "ts = alhambra.TileSet.from_file(\"evans2024-pattern-recognition-alhambra.json\")" + "ts_base.params['concentration'] = 50 # in nM, base concentration for tiles.\n", + "ts_base.params['alpha'] = -7.1 # alpha parameter for kTAM; this is what we use in SHAM\n", + "ts_base.params['glue-handling'] = 'orthogonal' # don't model interactions between non-WC pairs\n", + "#ts_base.params['glue-handling'] = 'full' # model interactions between non-WC pairs using Stickydesign energetics.\n", + "ts_base.params['fission'] = 'keep-weighted' # when structures split, randomly keep one, weighting by size\n", + "ts_base.params['model'] = 'KTAM' # use the kTAM\n", + "ts_base.params['chunk-handling'] = 'detach' # allow dimers to detach from the structure\n", + "ts_base.params['chunk-size'] = 'dimer'\n", + "ts_base.params['temperature'] = 48.5\n" ] }, { - "cell_type": "code", - "execution_count": 4, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "ts.params['concentration'] = 50 # in nM, base concentration for tiles.\n", - "ts.params['alpha'] = -7.1 # alpha parameter for kTAM; this is what we use in SHAM\n", - "# ts.params['glue-handling'] = 'orthogonal' # don't model interactions between non-WC pairs\n", - "ts.params['glue-handling'] = 'full'\n", - "ts.params['fission'] = 'keep-weighted' # when structures split, randomly keep one, weighting by size\n", - "ts.params['model'] = 'KTAM' # use the kTAM\n", - "ts.params['chunk-handling'] = 'detach' # allow dimers to detach from the structure\n", - "ts.params['chunk-size'] = 'dimer'\n", - "ts.params['temperature'] = 48.5\n" + "## An \"A flag\" pattern" ] }, { @@ -60,6 +72,8 @@ "metadata": {}, "outputs": [], "source": [ + "ts = ts_base.copy()\n", + "\n", "for tn in [111, 105, 159, 417, 228, 211, 193, 182, 180, 654, 425, 84]:\n", " ts.tiles[tn].stoic = 10.0\n", " ts.tiles[tn].color = 'black'" @@ -67,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -79,7 +93,6 @@ " var_per_mean2=1e-5,\n", " min_cutoff_size=60,\n", " min_configs=5000,\n", - " max_configs=5000,\n", " target_size=150,\n", " keep_configs=True,\n", ")\n", @@ -88,36 +101,27 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "nr = res.nucleation_rate" - ] - }, - { - "cell_type": "code", - "execution_count": 8, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "7.16792097087657e-12" + "1.045108112575489e-09" ] }, - "execution_count": 8, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "nr" + "res.nucleation_rate # in M/s" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -130,30 +134,30 @@ " white-space: pre-wrap;\n", "}\n", "\n", - "shape: (113, 5)
leveln_configsn_trialstarget_sizep_r
u64u64u64u64f64
05000500021.0
150006168930.081052
250003389040.147536
350002771550.180408
450002233460.223874
108500050461100.990884
109500050491110.990295
110500050401120.992063
111500050331130.993443
112500050411140.991867
" + "shape: (59, 5)
leveln_configsn_trialstarget_sizep_r
u64u64u64u64f64
0876028760221.0
18760270654930.123986
28141743812340.185831
37698233444150.230181
47120424726660.287965
5450005005560.999001
5550005002570.9996
5650005003580.9994
5750005005590.999001
5850005004600.999201
" ], "text/plain": [ - "shape: (113, 5)\n", + "shape: (59, 5)\n", "┌───────┬───────────┬──────────┬─────────────┬──────────┐\n", "│ level ┆ n_configs ┆ n_trials ┆ target_size ┆ p_r │\n", "│ --- ┆ --- ┆ --- ┆ --- ┆ --- │\n", "│ u64 ┆ u64 ┆ u64 ┆ u64 ┆ f64 │\n", "╞═══════╪═══════════╪══════════╪═════════════╪══════════╡\n", - "│ 0 ┆ 5000 ┆ 5000 ┆ 2 ┆ 1.0 │\n", - "│ 1 ┆ 5000 ┆ 61689 ┆ 3 ┆ 0.081052 │\n", - "│ 2 ┆ 5000 ┆ 33890 ┆ 4 ┆ 0.147536 │\n", - "│ 3 ┆ 5000 ┆ 27715 ┆ 5 ┆ 0.180408 │\n", - "│ 4 ┆ 5000 ┆ 22334 ┆ 6 ┆ 0.223874 │\n", + "│ 0 ┆ 87602 ┆ 87602 ┆ 2 ┆ 1.0 │\n", + "│ 1 ┆ 87602 ┆ 706549 ┆ 3 ┆ 0.123986 │\n", + "│ 2 ┆ 81417 ┆ 438123 ┆ 4 ┆ 0.185831 │\n", + "│ 3 ┆ 76982 ┆ 334441 ┆ 5 ┆ 0.230181 │\n", + "│ 4 ┆ 71204 ┆ 247266 ┆ 6 ┆ 0.287965 │\n", "│ … ┆ … ┆ … ┆ … ┆ … │\n", - "│ 108 ┆ 5000 ┆ 5046 ┆ 110 ┆ 0.990884 │\n", - "│ 109 ┆ 5000 ┆ 5049 ┆ 111 ┆ 0.990295 │\n", - "│ 110 ┆ 5000 ┆ 5040 ┆ 112 ┆ 0.992063 │\n", - "│ 111 ┆ 5000 ┆ 5033 ┆ 113 ┆ 0.993443 │\n", - "│ 112 ┆ 5000 ┆ 5041 ┆ 114 ┆ 0.991867 │\n", + "│ 54 ┆ 5000 ┆ 5005 ┆ 56 ┆ 0.999001 │\n", + "│ 55 ┆ 5000 ┆ 5002 ┆ 57 ┆ 0.9996 │\n", + "│ 56 ┆ 5000 ┆ 5003 ┆ 58 ┆ 0.9994 │\n", + "│ 57 ┆ 5000 ┆ 5005 ┆ 59 ┆ 0.999001 │\n", + "│ 58 ┆ 5000 ┆ 5004 ┆ 60 ┆ 0.999201 │\n", "└───────┴───────────┴──────────┴─────────────┴──────────┘" ] }, - "execution_count": 9, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -165,16 +169,7 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "plt.style.use('default.mplstyle')\n" - ] - }, - { - "cell_type": "code", - "execution_count": 11, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -187,30 +182,30 @@ " white-space: pre-wrap;\n", "}\n", "\n", - "shape: (565_000, 12)
surface_indexconfig_indexsizetimeprevious_configcanvasmin_imin_jmax_imax_jshape_ishape_j
u64u64u32f64u64list[u32]u64u64u64u64u64u64
0020.0643[229, 643]889821
0120.0530[530, 70]889821
0220.0798[798, 804]889821
0320.0831[160, 831]889821
0420.0575[575, 454]889821
11249951142679.9365531348[0, 0, … 0]1014151416
11249961145508.81212322[0, 0, … 384]1012151216
11249971144698.9089774655[876, 0, … 356]3015151316
11249981144274.1188383571[704, 48, … 697]0015151616
11249991143074.8971824725[0, 0, … 0]0015151616
" + "shape: (858_561, 10)
surface_indexconfig_indexsizetimeprevious_configcanvasmin_imin_jshape_ishape_j
u64u64u32f64u64list[u32]u64u64u64u64
0020.0228[204, 228]8821
0120.0160[621, 160]8821
0220.0106[105, 106]8812
0320.0181[181, 86]8812
0420.086[86, 655]8812
58499560717.6740244052[771, 0, … 0]30916
584996601253.2795881594[0, 0, … 0]55811
584997601812.3431583778[0, 0, … 682]70716
584998601145.3344583024[0, 0, … 0]54711
58499960967.0939851385[108, 620, … 681]44611
" ], "text/plain": [ - "shape: (565_000, 12)\n", + "shape: (858_561, 10)\n", "┌───────────────┬──────────────┬──────┬─────────────┬───┬───────┬───────┬─────────┬─────────┐\n", - "│ surface_index ┆ config_index ┆ size ┆ time ┆ … ┆ max_i ┆ max_j ┆ shape_i ┆ shape_j │\n", + "│ surface_index ┆ config_index ┆ size ┆ time ┆ … ┆ min_i ┆ min_j ┆ shape_i ┆ shape_j │\n", "│ --- ┆ --- ┆ --- ┆ --- ┆ ┆ --- ┆ --- ┆ --- ┆ --- │\n", "│ u64 ┆ u64 ┆ u32 ┆ f64 ┆ ┆ u64 ┆ u64 ┆ u64 ┆ u64 │\n", "╞═══════════════╪══════════════╪══════╪═════════════╪═══╪═══════╪═══════╪═════════╪═════════╡\n", - "│ 0 ┆ 0 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ 0 ┆ 1 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ 0 ┆ 2 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ 0 ┆ 3 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ 0 ┆ 4 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", + "│ 0 ┆ 0 ┆ 2 ┆ 0.0 ┆ … ┆ 8 ┆ 8 ┆ 2 ┆ 1 │\n", + "│ 0 ┆ 1 ┆ 2 ┆ 0.0 ┆ … ┆ 8 ┆ 8 ┆ 2 ┆ 1 │\n", + "│ 0 ┆ 2 ┆ 2 ┆ 0.0 ┆ … ┆ 8 ┆ 8 ┆ 1 ┆ 2 │\n", + "│ 0 ┆ 3 ┆ 2 ┆ 0.0 ┆ … ┆ 8 ┆ 8 ┆ 1 ┆ 2 │\n", + "│ 0 ┆ 4 ┆ 2 ┆ 0.0 ┆ … ┆ 8 ┆ 8 ┆ 1 ┆ 2 │\n", "│ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … │\n", - "│ 112 ┆ 4995 ┆ 114 ┆ 2679.936553 ┆ … ┆ 14 ┆ 15 ┆ 14 ┆ 16 │\n", - "│ 112 ┆ 4996 ┆ 114 ┆ 5508.81212 ┆ … ┆ 12 ┆ 15 ┆ 12 ┆ 16 │\n", - "│ 112 ┆ 4997 ┆ 114 ┆ 4698.908977 ┆ … ┆ 15 ┆ 15 ┆ 13 ┆ 16 │\n", - "│ 112 ┆ 4998 ┆ 114 ┆ 4274.118838 ┆ … ┆ 15 ┆ 15 ┆ 16 ┆ 16 │\n", - "│ 112 ┆ 4999 ┆ 114 ┆ 3074.897182 ┆ … ┆ 15 ┆ 15 ┆ 16 ┆ 16 │\n", + "│ 58 ┆ 4995 ┆ 60 ┆ 717.674024 ┆ … ┆ 3 ┆ 0 ┆ 9 ┆ 16 │\n", + "│ 58 ┆ 4996 ┆ 60 ┆ 1253.279588 ┆ … ┆ 5 ┆ 5 ┆ 8 ┆ 11 │\n", + "│ 58 ┆ 4997 ┆ 60 ┆ 1812.343158 ┆ … ┆ 7 ┆ 0 ┆ 7 ┆ 16 │\n", + "│ 58 ┆ 4998 ┆ 60 ┆ 1145.334458 ┆ … ┆ 5 ┆ 4 ┆ 7 ┆ 11 │\n", + "│ 58 ┆ 4999 ┆ 60 ┆ 967.093985 ┆ … ┆ 4 ┆ 4 ┆ 6 ┆ 11 │\n", "└───────────────┴──────────────┴──────┴─────────────┴───┴───────┴───────┴─────────┴─────────┘" ] }, - "execution_count": 11, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -222,23 +217,24 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "del(res)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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HjhypUo3LxMQEbdq0wbRp0+Ds7Iy4uDisWLECAQEBOHToUIXrenl5wcvLi3k9aNAgDBs2DK1bt8bChQvLjHoVCoVM7bU0WRNeVQYeVJVSgQYA2rVrh6NHj0IkEuH27ds4duwY1q5di2HDhiEuLg5OTk5MWmNjY4XVPQ2NspsVi8U4cOAAunfvjsTERGa+h4cHVq9ejfDwcPTu3VthmUaNGoUxY8YgKSkJf/75J1asWKHsbgElTQay6nl5ytun0kaOHImRI0ciOzsb0dHRCA0Nxb59+zBw4EDcu3evwtE1AGBvb19mXvPmzZGXl4f09HS5kTcfjpJ7/vw52Gx2mVEm5ubm0NfXx/Pnz+Xm29nZgcVildkWSoalmpubQyKRYP369di8eTMSExPlhjUaGRlVWn4WiwU7O7sqnQ9TWx4/fgwA8Pf3LzdNVlYWDAwMsGLFCvj7+8PKygpubm7o168fxo4dK/cHQh3EYjFGjBiB+/fv48yZM3JBMCEhAYQQLF68GIsXL1a4flpaGszNzZGeni4339DQEFwuFwKBQGG/nWykpqyJh8/n49SpUxg+fDiGDh0KlPQbrVixAj/++KPSo7JGjRqF1atXY9asWbh69WqFI5fOnTsHAHLf/fnz5+PixYto37497Ozs0Lt3b4waNarcvtHaYmFhwfSXVFVxcTFmzJiBMWPGVBoUnz59iu7du2P37t3McR48eDBsbGwwbtw4nDlzBn379lVq+3Z2dhg8eDCOHj1a5k9qeWRNqR/2B9aE0oFGhsvlol27dmjXrh2aN2/ORNzg4OBq5Xfp0iUkJyfjwIEDOHDgQJnlYWFh5QaaQYMGgcfjwd/fH4WFhRg+fHi1ylDbdHV10atXL/Tq1QuamprYtWsXoqOj0bVr11rbRnntvR8Gj5pYvnw5Fi9ejPHjx+P777+HoaEh2Gw2Zs6cWekQZXWRlWvlypVwdXVVmEb2Azl8+HB07twZx44dw/nz57Fy5Ur8/PPPOHr0qNJf7No0adIknDx5EmFhYejRo4fcMtn+zZkzBz4+PgrXt7Ozw4sXL8r8Gbl8+TK6desGCwsLvHr1qsx6ycnJQEltV8bZ2Rn37t3D/fv38e7dOzg5OUEgEGDWrFlKf55HjhyJhQsXYtKkSTAyMir3e42SGnrHjh2hp6fHzGvRogUePnyIkydP4uzZs8wpDkFBQVi6dKlSZVFGfn5+hf3Lpcn+DO7evRsPHz7Er7/+WuaPVk5ODp49e8acbxcaGoqCgoIy5x/KWoquXLlSrc+jlZUVRCIRcnNzy/THKWJnZwcNDQ3cvXtX6W2Vp9qBpjRZLUD2Aa2OsLAwmJqaYtOmTWWWHT16FMeOHcPWrVsV/rAKBAL4+vpi79696Nu3b5lRO3WBu7s7du3aVaVjJPs3XtqjR48gFAphYmJS4brW1taQSCR4/PixXDNdamoqMjMzyzQpyv4Zlw5Mjx49AkpGeaFkdFL37t3x+++/y62bmZmp8Fh/WH5CCBISEtC6detK9rxyVQ2gzZo1A0qCfVU6US0sLDBlyhRMmTIFaWlpaNu2LX788Ue1BZq5c+di586dWLduHUaOHFlmuay2pampWeH+aWpqlmnucXFxAUrOCbt8+TKys7PlfoBkTTwfBmgWiwVnZ2fm9enTpyGRSKrcSS3TpEkTdOzYEREREZg8ebLCFg6UfG7Onj2rsJldS0sLfn5+8PPzg0gkwpAhQ/Djjz9i4cKFlbYYVNfBgwerfB6TbLBDUlISioqKFNa2du/ejd27d+PYsWPw9fVFamoqCCFlToQsKioCSmpH1fH06VPw+fwq1zyFQiF69OiBS5cu4cWLF7CysqrWdktTatTZ5cuXmQNYmqxfwMHBoVqFyM/Px9GjRzFgwAAMGzaszDRt2jTk5ORUOGxzzpw5CA4OLrcZ4WPIy8sr92SsM2fOAFU8RlFRUXJ9Hy9evMDx48fRu3fvSqu+/fr1A0pGaJW2Zs0aAJAbIgoAr1+/lhuhlJ2djd27d8PV1ZX5V8bhcMq874cOHVL4bxglX6DS1e7Dhw8jOTm5Vn60tbS0kJmZWWk6Nzc3NGvWDKtWrWJGJJYma04Si8Vl/qWamprC0tJS5ZfnyMvLw4MHD8qMUlq5ciVWrVqFb7/9Ft98843CdU1NTdGtWzf8+uuvCv+8yPaPz+fD29tbbjIwMABK+s7EYrHcCZeFhYXYuXMnPDw8KvyByc/Px+LFi2FhYaEwEFbmhx9+QHBwcIUnecfExCAtLa3MZ/bDPjculwsnJycQQpgfZVWQ9dFUZZIZMWIEjh07VmZCyXf12LFjzBVQmjdvDkII/vjjD7nt7t+/HwDQpk0bZl5GRgYePHjAjHhFqfe8tNu3b+Ovv/5C7969lRpyHxwcDEIIxowZo/D7Exsbi127dlU5P6VqNNOnT0deXh4+++wzODo6QiQS4erVqzh48CBsbGyqfdbyX3/9hZycnDKDCWQ6dOgAExMThIWFwc/PT2EaFxcX5p+auuTl5cHLywsdOnRAnz59YGVlhczMTPz555/4559/4OvrK/dhKU/Lli3h4+ODGTNmgMfjYfPmzUDJQIPKuLi4wN/fH9u2bUNmZia6du2K69evY9euXfD19ZUbCICSD/eECRMQExMDMzMz7NixA6mpqdi5cyeTZsCAAVi2bBkCAgLg5eWFu3fvIiwsrNw+DENDQ3Tq1AkBAQFITU3FunXrYGdnxwy/rgk3Nzds2bIFP/zwA+zs7GBqalqmWQkA2Gw2fvvtN/Tt2xfOzs4ICAhAo0aN8OrVK1y+fBm6uro4ceIEcnJy0LhxYwwbNgwuLi7Q1tbGxYsXERMTg9WrVzP5RUREoHv37ggODpa7Hpsif//9N3PeU3p6OnJzc5kBJF26dEGXLl0AANevXy+T57Fjx5hLkLRo0QJ79+6Vy7tXr17MeRabNm1Cp06d0KpVK0yaNAlNmzZFamoqoqKi8PLly3LPc5Lx8PDA559/joULFyItLQ12dnbYtWsXnj17Vqb2Onz4cFhaWsLJyQnZ2dnYsWMHnj59ilOnTlWr07hr166VNrmdOnUKNjY2cv2+KOmvMTc3R8eOHWFmZob4+Hhs3LgR/fv3lysLi8VC165da+36d9Xpo3F0dISjo6PCZba2tvD19WVejxs3DqtWrcJXX32FW7duwdnZGTdv3sRvv/0GZ2dnuUE7GzduxNKlS5lmUADw8/ODQCCAl5cXTE1Ncf/+fWzbtg1CoVBuIElVeHl5YdOmTZgyZQocHR3lrgwQERGBv/76q9zLCSmkzBC1M2fOkPHjxxNHR0eira1NuFwusbOzI9OnT6/RlQEGDhxI+Hw+yc3NLXfb48aNI5qamiQjI4OQCoYHlqbs8ObauDLA9u3bia+vL7G2tiY8Ho8IhULSpk0bsnLlSlJYWFhh/qTUfu3du5fY29sTHo9H2rRpwwzbrcq+FRUVkaVLlxJbW1uiqalJrKysyMKFC+WGwZben3PnzpHWrVsTHo9HHB0dyww7LygoILNnzyYWFhZEIBCQjh07kqioKNK1a1e5obuy93X//v1k4cKFxNTUlAgEAtK/f3/y/PlzuTyrO7w5JSWF9O/fn+jo6BAAzPY/HN4sc+vWLTJkyBBiZGREeDwesba2JsOHDyfh4eGEEEIKCwvJ3LlziYuLC9HR0SFaWlrExcWFbN68WS6fEydOyA35rYjsvalsKLyszKXnVbSuov178uQJGTt2LDE3NyeampqkUaNGZMCAAeTw4cOVlpOUnK0+Z84cYm5uTng8HmnXrh05e/ZsmXQ///wzcXR0JHw+nxgYGJBBgwaRW7duVWkbpYc3V+TD4c3u7u5kypQpZdL9+uuvpEuXLsx72qxZMzJ37lySlZXFpMnJySEAyIgRI6pURhlVXhmgtPJ+v16+fEnGjx9PbG1tCZfLJRYWFmTSpEllvueyz0npz8P69etJ+/btiaGhIdHQ0CAWFhZk9OjR5PHjx9UuZ2xsLBk1ahSxtLQkmpqaxMDAgPTs2ZPs2rWrzCkPFWERRW1hlNqwWCxMnToVGzduVHdRqFLmzZuH/fv3IyEhQeGQYKp2paamwsLCAidPnmSag5Vx+vRpDBgwALdv30arVq1UUkaq6uhtAiiqCi5fvozFixfTIPORZGVlISgoqExTb1VdvnwZI0aMoEGmjqA1mjqG1mgoiqpvaI2GoiiKUqlaOY+Gqj20gklRVH1DazQURVGUStEajYpJJBK8fv0aOjo6tXpZGIqiao4QgpycHFhaWlb7HkJU5WigUbHXr1/XyiUcKIpSnRcvXqBx48bqLka9RQONisnOVH7x4kWVLmhHUdTHk52dDSsrq1q9JD5VFg00KiZrLtPV1aWBhqLqKNqsrVq0UZKiKIpSqXoTaP7++28MHDgQlpaWYLFY+PPPPytdJyIiAm3btgWPx4OdnR1CQ0PLpNm0aRNsbGzA5/Ph4eEhd695iqIoqnL1JtDk5ubCxcVF4f1sFElMTET//v3RvXt3xMXFYebMmZg4cSJzRz+U3H8iMDAQwcHBuHnzJlxcXODj44O0tDQV7glFUVT9Ui8vQcNisZibCZVn/vz5OHXqFO7du8fMGzFiBDIzM5l7a3t4eKBdu3bM5WAkEgmsrKwwffp0LFiwoEplyc7Ohp6eHrKysmgfjYoQQlAkJigSS+86yWaxwGYDLLAgIQSEAGIFH3MNNgtcDhtsdvXa5wkhEEukN41js5Rr5xdLCHIKisDT4ICnIV8GWb4flphdajsSCYFILEGRWIJiMYGQxwFPo+J7FRWVpOdy2NDglP2PKZYQEELAZrHAKtkOKTl+ElK2PKySMsl2u1hCICqWboMQQFODDS6HDU0Oq8yxEUsI8ovEyBMVgxCAw2ZBg80Cm82CuOS9LCyWQCz5f3nYJWlKpyVEerwkJWXU5WmAyyoGivKAYhGgY1bhMaHfz4+jwQ4GiIqKKnNnQB8fH8ycORMAIBKJEBsbi4ULFzLL2Ww2vL29y725GUpuHFX6hlnZ2dkqKf+nhhCC1OxC3HmZif9eZyMzT4TCYumPSb5IjOyCImTlFyG7oAj5IjHzwyGRSH90i0sexSU/hOxSP4RF4pr9V5L9eMl+UMWEQKDJgYGQCz2BJnQFGsgTiZGdLy1jrkgsLYuElMlHg8OCFlcDQh4HWlwN8DU5TP4cNgtZ+UVIyynEm/eFKL26QJMDDpvFBI/q/P3jabChJ9CEkMthAq/sB1v2oy2jyWFBoMmBBocNUbEEBUViFEtU959TkyWGgFUMAbsIAlIIniQX2siHDisfusiDLisXusiFLisPPBSBhyJoohhcVjGEKAQfhRCwROCiCBqQgAMxNCCGJoqhyZI+8lAETbYIICV3qNSxBGbHq2yfqKprsIEmJSWFuYGUjJmZGbKzs5Gfn493795BLBYrTPPgwYNy8w0JCVHpfcs/FVn5RbjzMhNxSZmIe5GJ2y+zkPG+du5YKSYE0p+S2vlhLC4JZKXlicTIE+XjVWa+0vkUFInwJle5MuQXiauQqmKFxRKk5VTtGEsDUUW3BibQQoF0YhVAiALosPKhjZKJlQ8d5EPIKoA28iFEIbRY+dBCAYSsQuggH9rIg3bJOlxWzfevSkq/jWLRx9kmVakGG2hUZeHChQgMDGRey8bpNwRZ+UU4dy8Fx2+/wtUnb8r8K+ewWbA31UbLRnqw0OODp8EGX5MDniYHunwN6Ao0oSfQZP7dS1uTWExNQYPNBpsl/S2RNYmxWJA2z2iwoclmg8WSNstISppTZPmwFTRrlW7qKZYQJh2rJNBk5hfhXZ4IOQXF0OJySmo3mtDiaUCzVC0FJT/cYom0FpEnEiNXVIy8QjHyi8QQSyRMjUyXrwkTHR5MdXkwEHIhKpamLyiS1pK4GmxoKmpuIgCBdJ/EEgIOmwVNDguaHDY02CzklqpxFRSJS/JgQ5MN8CW5EIgywM9Ph2ZBBsS5GRDnvoUk9y1QmA0NcQE44nxwivPBLswCKy8DrPy3YKnoh5pweCA8HYCnCxZfByyeLohAH4SnBwlPF2xNIdiaPICjCXB4gKYA4GoBGnxAgw/C5kDC4kAMDlgaPLA4XLA1uGBpcMHiagFcIaAplK5P1QkNNtCYm5sjNTVVbl5qaip0dXUhEAjA4XDA4XAUpjE3Ny83Xx6P1+DuWZKVV4Tgv+7h9N0UiEr6SQCgiaEQrlb6cLXSh4uVPpwsdCHgVtyP8NGp+a3S5LChxSv1NZRIAHEhUJQP5GcB+W+B/HdAfiYgyi015fz/eWEO9Eomq8IcQPQeKC4Aigulj0RSUREqxmIDXB3pDz1XC+DrAjxdoCRQMPO5WtJ5XC2Aqy2dSqfVFEgnDg8sNhsfhn2WrM+nKkUCwCmZqE9Dgw00np6eOH36tNy8CxcuwNPTEwDA5XLh5uaG8PBwZlCBRCJBeHg4pk2bppYy10XP3+QiIDQGT9OlbUXNzbQx2LURBrlYwspQqO7i1R3FIqAgE8hJAbJfA9mvgKyXQGbS/6f8t6pr7uHrAdpm0kloCAgMpBNfD9AsqQVo8AGBPiA0BoRG0klTANCTGakaqjeB5v3790hISGBeJyYmIi4uDoaGhmjSpAkWLlyIV69eYffu3QCAr7/+Ghs3bsS8efMwfvx4XLp0CX/88QdOnTrF5BEYGAh/f3+4u7ujffv2WLduHXJzcxEQEKCWfaxrbjx7iy/3xOJtrggWenxsHNUWbtYG6i6WahECFGTJB4i8N9J5skmUK61VlNQ2UJAFFFe9r4ehqSUfEGQ1Bp62dBlPu1Rt4oNahqYA0OBJgwdfT/qaotSk3gSaGzduyN32VdZP4u/vj9DQUCQnJyMpKYlZbmtri1OnTmHWrFlYv349GjdujN9++w0+Pj5MGj8/P6SnpyMoKAgpKSlwdXXF2bNnywwQaIiOx73C3EN3IBJL0KqRHn73d4epLl/dxZInkUh/4ItkU97/A4AoV/q69LLSj7IAIZsKs4HC99L5kqLql0nLBNC1BHQbSR/1rQH9JtJJ2xTQKBUgOPXm60k1cPXyPJq6pL6N0yeEYNvfTxFyRjryzsfZDGv9XCHkquhHsVgkrTHkv5U+5pX0WRRkljxmSX/8ZVNBFlCQXVKzyFFNmQBp85J+E0DfStocxdcrqXXoltQ0tP/fXyHQ//8yNu1ZqEvq2/ezrqJ/magqE0sIvj95H6FXnwEAxne0xXf9W1T7hEcGIdI+i7QHQHo88CYBePsUeJso7ceojWHMstFLsuYnTeH/m5g0BdLXskcNvjSdLHjwdQFeSdMVT0falMWl/U8UVVU00FBVUlAkxqyDcThzLwUA8F3/FpjYuWn1MxQXAU8uAXf+AB5fAAqzyk/LYgMCw5JObEP5zmyerjQQcLWlNQm+vnztQtbJTWsSFKU2NNBQVfLDqfs4cy8FXA4bq4a7YJCLZfUyykkB/l0H3P1D2hQmw9YAjOwAE0fAuDlg2BQwtAUMbKX9GvTuhxT1yaKBhqrUpQep2HtNOpDi1zFu6O5oqnwmhe+Bq79Ip6KS0+a1TICWQ4GWwwALF0CDW8slpyiqLqCBhqpQxvtCzDt8BwAwoZNt9YLM3cPAuW+B9yUnvzZuB3SdDzTtTkdWUVQDQL/lVLkIIVhw5A4y3ovgYKaDuT4OymYAXF4O/L1C+trABvBeAjj50pMAKaoBoYGGKteBmBe4GJ8GLoeNtX6u4Gsq0aFeXAj8NR24c1D6uuNMoPsi2jxGUQ0QDTSUQilZBfj+5H0AwFwfBzhZKnGOQX4mcHA08OwfgMUBBqwF3PxVV1iKouo0GmgohVaee4g8kRhu1gaY0MlWuZVPzZYGGa4OMHwXYNdTVcWkKOoTQAMNVca9V1k4euslAGDxACflTshMCAfuHZae+zLmGGDVTnUFpSjqk0BPTqDkEELw46l4EAIMcrGEq5V+1VcuygdOldyLp/1XNMhQFAXQQEN9KDw+DVFP34Crwca8PkqOMvt7FfDumfQWuj0WqaqIFEV9YmigoRhFYgmWn5beY31CJ1s0NlDiel7pD4Er66XP+62QXhOMoiiKBhqqtH3RSXiakQsjLS6mdGtW9RUJAU7Okl4+v3lfwHGAKotJUdQnhgYaCii5aOamy9Ibx830tocOX4n7rSeEA8+vSK983G8FPRmToig5NNBQAIDDsS+RllMISz0+/No1UW7l6C3SR7dx0nu0UBRFlUIDDYVisQRbI58AAL7s0hRcDSU+FumPgISLAFhA+y9VV0iKoj5ZNNBQOHHnNV6+y4eRFrcatZmt0keHftLL+lMURX2ABpoGTiIh2HxZWpsZ38kWAq4S1zPLfwfc3i993mGyikpIUdSnjgaaBu78/VQ8TnsPHb4GxnhaK7fyzd1AUR5g1hKw6aSqIlIU9YmjgaYBI4Rgc4R0pJm/pw10lRlpJi4GordJn3eYTEeaURRVLhpoGrCoJ29w52UWBJocBHS0UW7lByeB7JeA0Fh6h0yKoqhy0EDTgJ2+lwwA8G1jCSNtnnIrx/wmfXQPADT5KigdRVH1BQ00DRQhBJfi0wAAvZ3MlVs59430BE0AaDNGBaWjKKo+oYGmgYpPzsHrrALwNdnwbGak3MqPzwNEApi1AgyUHEBAUVSDQwNNAxUenwoA6GRnotwtmgHg4Wnpo0NfFZSMoqj6pl4Fmk2bNsHGxgZ8Ph8eHh64fv16uWm7desGFotVZurfvz+TZty4cWWW9+nT5yPtjWqFP5A2m/VsYarcikUF0mubgQYaiqKqpt7cYfPgwYMIDAzE1q1b4eHhgXXr1sHHxwcPHz6EqWnZH9OjR49CJBIxr9+8eQMXFxd8/vnncun69OmDnTt3Mq95PCU7zeug9JxC3H6ZCQDo4ahkoHn2L1CUC+hYAJZtVFNAiqLqlXpTo1mzZg0mTZqEgIAAODk5YevWrRAKhdixY4fC9IaGhjA3N2emCxcuQCgUlgk0PB5PLp2BgcFH2iPVufwwDYQArRrpwUxXyRFjpZvN6LkzFEVVQb0INCKRCLGxsfD29mbmsdlseHt7Iyoqqkp5/P777xgxYgS0tLTk5kdERMDU1BQODg6YPHky3rx5U2E+hYWFyM7OlpvqGtloM6VrM4QAD89Inzv0U0HJKIqqj+pFoMnIyIBYLIaZmZncfDMzM6SkpFS6/vXr13Hv3j1MnDhRbn6fPn2we/duhIeH4+eff0ZkZCT69u0LsVhcbl4hISHQ09NjJisrqxrsWe0rLBbjn8fpQHX6Z5JvAzmvAU0twKazagpIUVS9U2/6aGri999/R6tWrdC+fXu5+SNGjGCet2rVCq1bt0azZs0QERGBnj17Ksxr4cKFCAwMZF5nZ2fXqWAT/fQtckVimOrw0NJST7mVZbUZux70JE2KoqqsXtRojI2NweFwkJqaKjc/NTUV5uYVn4yYm5uLAwcOYMKECZVup2nTpjA2NkZCQkK5aXg8HnR1deWmuuTSg/83m7HZSvaxMP0ztNmMoqiqU3ugyc3NrXEeXC4Xbm5uCA8PZ+ZJJBKEh4fD09OzwnUPHTqEwsJCjB49utLtvHz5Em/evIGFhUWNy6wOhBCEP5AGY6X7Z7JeAil3ABYbsO+tmgJSFFUvqT3QmJmZYfz48fj3339rlE9gYCC2b9+OXbt2IT4+HpMnT0Zubi4CAgIAAGPHjsXChQvLrPf777/D19cXRkbyZ8e/f/8ec+fOxbVr1/Ds2TOEh4dj8ODBsLOzg4+PT43Kqi5PM3Lx4m0+uBw2OtkbK7fyo3PSRysPQEvJdSmKatDU3kezd+9ehIaGokePHrCxscH48eMxduxYWFpaKpWPn58f0tPTERQUhJSUFLi6uuLs2bPMAIGkpCSw2fJx9eHDh/j3339x/vz5MvlxOBzcuXMHu3btQmZmJiwtLdG7d298//33n+y5NP88kg4CaGdrACFXybdedm2zpt1VUDKKouozFiGEqLsQAJCeno49e/YgNDQU8fHx8PHxwfjx4zFo0CBoaKg9HlZbdnY29PT0kJWVpfb+mgmhMQh/kIYFfR3xdddmVV+REGCNk3TEmf8JwLaLKotJUR9NXfp+1mdqbzqTMTExQWBgIO7cuYM1a9bg4sWLGDZsGCwtLREUFIS8vDx1F/GTJiqWIOqp9BygTnZKNn1lJkmDDFsDaOSumgJSFFVv1ZmqQmpqKnbt2oXQ0FA8f/4cw4YNw4QJE/Dy5Uv8/PPPuHbtmsImLqpqbia9Q55IDCMtLpwslPznlnRN+mjhCnCFKikfRVH1l9oDzdGjR7Fz506cO3cOTk5OmDJlCkaPHg19fX0mjZeXF1q0aKHWcn7qZCdpdrI3Vn5Yc9JV6WOTDiooGUVR9Z3aA01AQABGjBiBK1euoF27dgrTWFpaYtGiRR+9bPXJv48zAACd7U2UX1lWo7H2quVSURTVEKg90CQnJ0MorLg5RiAQIDg4+KOVqb55lyvCnVdZAIDOyg5rznsLpD+QPreiNRqKopSn9sEAOjo6SEtLKzP/zZs34HCUvCEXpdCVJxkgBHAw01H+as2y2oyxA6Cl5J04KYqi6kKgKW90dWFhIbhc7kcvT330zyNZs1k1TrSk/TMURdWQ2prONmzYAABgsVj47bffoK2tzSwTi8X4+++/4ejoqK7i1RuEEGYgQOfmtH+GoqiPT22BZu3atUDJD+HWrVvlmsm4XC5sbGywdetWdRWv3niSnovXWQXgcthob2Oo3MqiPOD1LelzWqOhKKqa1BZoEhMTAQDdu3fH0aNH68WdK+siWW2mna0BBFwl+7xexQKSYkDHEtC3Vk0BKYqq99Q+6uzy5cvqLkK9diVBdjWA6jSbldydtEkHettmiqKqTS2BJjAwEN9//z20tLTkbhKmyJo1az5aueobQghuJr0DAHg0VbLZDKUCDe2foSiqBtQSaG7duoWioiLmeXlY9F90jSRm5OJtrghcDTacLZW87Iy4GHhxXfqc9s9QFFUDagk0pZvLaNOZ6sQ+l9ZmWjfSA09Dyf6Z9AeA6D3A1QFMnVRTQIqiGgS1n0dDqY6s2czNuhoDLWSjzSxdATY9cZaiqOpTS41myJAhVU579OhRlZalPpPVaGocaCiKompALYFGT09PHZttULLyi/Ao9T0AoG2NAk3bWi4ZRVENjVoCzc6dO9Wx2QblVkmzmY2REMbaSt56ulgEpN6TPrdso4LSURTVkNA+mnrqZkmzWbVqM2n3AbEI4OsDBja1XziKohoUtdRo2rZti/DwcBgYGKBNmzYVDmO+efPmRy1bfRFbo4EAJcfcsg09UZOiqBpTS6AZPHgweDxpc46vr686ilCvFYsluJWUCdR4IABtNqMoqubUEmhK38SM3tCs9j1IyUGeSAwdngaam+oonwENNBRF1SK1X+tM5saNG4iPjwcAODk5wc3NTd1F+mTJzp9pY20ANlvJpq+ifCBN+j6gER1xRlFUzak90Lx8+RIjR47ElStXoK+vDwDIzMyEl5cXDhw4gMaNG6u7iJ8c5vyZJtVoNkv9T3rFZi0TQLdR7ReOoqgGR+2jziZOnIiioiLEx8fj7du3ePv2LeLj4yGRSDBx4kR1F++TVDsnatKBABRF1Q6112giIyNx9epVODg4MPMcHBzwyy+/oHPnzmot26coNbsAL9/lg80CXJvoK5/Bq1IjziiKomqB2ms0VlZWzJWcSxOLxbC0tFQqr02bNsHGxgZ8Ph8eHh64fv16uWlDQ0PBYrHkJj6fL5eGEIKgoCBYWFhAIBDA29sbjx8/VqpMH5tstJmDuS60edX4H0EHAlAUVcvUHmhWrlyJ6dOn48aNG8y8Gzdu4JtvvsGqVauqnM/BgwcRGBiI4OBg3Lx5Ey4uLvDx8UFaWlq56+jq6iI5OZmZnj9/Lrd8xYoV2LBhA7Zu3Yro6GhoaWnBx8cHBQUF1dxb1fvvdRZQcsVmpRW+BzIeSp/TQENRVG0haqCvr08MDAyYicvlEjabTbhcrtxzAwODKufZvn17MnXqVOa1WCwmlpaWJCQkRGH6nTt3Ej09vXLzk0gkxNzcnKxcuZKZl5mZSXg8Htm/f3+Vy5WVlUUAkKysrCqvUxPjd14n1vNPktAricqv/OwqIcG6hKxyVEXRKKrO+djfz4ZKLX0069atq9X8RCIRYmNjsXDhQmYem82Gt7c3oqKiyl3v/fv3sLa2hkQiQdu2bbF8+XI4OzsDABITE5GSkgJvb28mvZ6eHjw8PBAVFYURI0YozLOwsBCFhYXM6+zs7Fray6q5nyzdntI3OgNtNqMoSjXUEmj8/f1rNb+MjAyIxWKYmZnJzTczM8ODBw8UruPg4IAdO3agdevWyMrKwqpVq+Dl5YX//vsPjRs3RkpKCpPHh3nKlikSEhKCpUuX1sp+KettrgjJWdJmPUcLGmgoiqob1N5HU1pBQQGys7PlJlXx9PTE2LFj4erqiq5du+Lo0aMwMTHBr7/+WqN8Fy5ciKysLGZ68eJFrZW5MvdfS4+XjZGwegMBUu5IHy1carlkFEU1ZGoPNLm5uZg2bRpMTU2hpaUFAwMDuakqjI2NweFwkJqaKjc/NTUV5ubmVcpDU1MTbdq0QUJCAgAw6ymbJ4/Hg66urtz0scgGAjhbVmMgQHEhkFEyos7MuZZLRlFUQ6b2QDNv3jxcunQJW7ZsAY/Hw2+//YalS5fC0tISu3fvrlIeXC4Xbm5uCA8PZ+ZJJBKEh4fD09OzSnmIxWLcvXsXFhYWAABbW1uYm5vL5ZmdnY3o6Ogq5/mxyfpnnKrTP5P+ECBi6a0BdJUbVk5RFFURtZ+weeLECezevRvdunVDQEAAOnfuDDs7O1hbWyMsLAxffPFFlfIJDAyEv78/3N3d0b59e6xbtw65ubkICAgAAIwdOxaNGjVCSEgIAGDZsmXo0KED7OzskJmZiZUrV+L58+fM1QhYLBZmzpyJH374Afb29rC1tcXixYthaWlZZ684LWs6q1agSf1P+mjWkl4RgKKoWqX2QPP27Vs0bdoUKDmv5e3btwCATp06YfLkyVXOx8/PD+np6QgKCkJKSgpcXV1x9uxZpjM/KSkJbPb/K3Dv3r3DpEmTkJKSAgMDA7i5ueHq1atwcnJi0sybNw+5ubn48ssvkZmZiU6dOuHs2bNlTuysC/JFYjxJl9662bk6AwFkd9SkzWYURdUytQeapk2bIjExEU2aNIGjoyP++OMPtG/fHidOnGAusllV06ZNw7Rp0xQui4iIkHu9du1arF27tsL8WCwWli1bhmXLlilVDnV4mJoDCQGMtbkw0VHy1s0oXaNxqiwlRVGUUtTeRxMQEIDbt28DABYsWIBNmzaBz+dj1qxZmDt3rrqL98mQDQRwstSr8I6l5Uq7L300a1nLJaMoqqFTe41m1qxZzHNvb2/Ex8fj5s2bsLOzQ+vWrdVatk8J0z9TnWaz9+nA+1QALMDEsfYLR1FUg6b2QPMhGxsb2NjYqLsYn5z/ajIQIK2k2czQFuBp13LJKIpq6NTedAYA4eHhGDBgAJo1a4ZmzZphwIABuHjxorqL9ckQSwgepNTg0jOy/hlT2j9DUVTtU3ug2bx5M/r06QMdHR188803+Oabb6Crq4t+/fph06ZN6i7eJyExIxcFRRIINDmwMdJSPoNU2j9DUZTqqL3pbPny5Vi7dq3caLEZM2agY8eOWL58OaZOnarW8n0KZAMBWljogMOuxkAAOrSZoigVUnuNJjMzE3369Ckzv3fv3sjKylJLmT41NboigLgYSC+58CgNNBRFqYDaA82gQYNw7NixMvOPHz+OAQMGqKVMn5r/jzirxjXO3j4FigsATSFgYFv7haMoqsFTS9PZhg0bmOdOTk748ccfERERwVxD7Nq1a7hy5Qpmz56tjuJ9UgghzIiz6g0EKGk2M20BsNX+v4OiqHpILYHmwzPyDQwMcP/+fdy/f5+Zp6+vjx07duC7775TQwk/Hc/f5OFtrghcDhsO5jrKZ8CcqEmbzSiKUg21BJrExER1bLZeuvH8HQCgVWM98DU5ymdQ+mKaFEVRKlCn2koIISCEqLsYn5Qbz6QXIXW3qdq9e8qgI84oilKxOhFodu/ejVatWkEgEEAgEKB169bYs2ePuov1SZDVaNytDZVfuSAbyEySPqcna1IUpSJqP49mzZo1WLx4MaZNm4aOHTsCAP799198/fXXyMjIkLsWGiXvXa4ICWnSWwO4WVejRpMWL33UsQSE1QhUFEVRVaD2QPPLL79gy5YtGDt2LDNv0KBBcHZ2xpIlS2igqUBsSW2mmYkWDLW4ymeQelf6SG8NQFGUCqm96Sw5ORleXl5l5nt5eSE5OVktZfpU1KjZDABSSgKNOb1KNkVRqqP2QGNnZ4c//vijzPyDBw/C3t5eLWX6VNR4IEBKyUAAczrijKIo1VF709nSpUvh5+eHv//+m+mjuXLlCsLDwxUGIEqqsFiMO6+kl+hxt6lGjUYi/v/Q5gZYoxGLxSgqKlJ3MaiPgMvlyt3Gnfr41B5ohg4diuvXr2PNmjX4888/AQAtWrTA9evX0aZNG3UXr8669yoLomIJjLS4sDESKp/BmydAcb700jOGTVVRxDqJEIKUlBRkZmaquyjUR8Jms2Frawsutxr9mFStUGugKSoqwldffYXFixdj79696izKJyfmWUn/jI1B9W7dnHJH+mjmDLCrcaLnJ0oWZExNTSEUCqt37KhPhkQiwevXr5GcnIwmTZrQ91tN1BpoNDU1ceTIESxevFidxfgk3XhWWwMBWtViqeo2sVjMBBkjIyN1F4f6SExMTPD69WsUFxdDU1NT3cVpkNTecOnr68s0mVFVQwhB7POaDgRoeIFG1icjFFajqZH6ZMmazMRisbqL0mCpvY/G3t4ey5Ytw5UrV+Dm5gYtLfk7RM6YMUNtZaurnqTn4l1eEXgabDhbVuPWAGjYQ5tp80nDQt9v9VN7oPn999+hr6+P2NhYxMbGyi1jsVg00Cggq824WOmDq1GNSmlOKpCbBrDY9NIzFEWpnNoDTekrOcsuqEn/gVTs8oN0AEC7mjabGdkBXNqMRFGUaqm9jwYltZqWLVuCz+eDz+ejZcuW+O2339RdrDrpdWY+LsSnAgAGulhWLxPZiLMG1D9DUZT6qD3QBAUF4ZtvvsHAgQNx6NAhHDp0CAMHDsSsWbMQFBSk7uLVOWHRzyGWEHRoaghH82rcUROlbg1AA80ngxCCL7/8EoaGhmCxWIiLi1N3kZTWrVs3zJw5U93FoNRA7YFmy5Yt2L59O0JCQjBo0CAMGjQIISEh2LZtGzZv3qxUXps2bYKNjQ34fD48PDxw/fr1ctNu374dnTt3hoGBAQwMDODt7V0m/bhx48BiseSmPn36VHtfa6qgSIz9119Iy+ZlU/2MGuCIs0/d2bNnERoaipMnTyI5ORktW9LLBlGfDrUHmqKiIri7u5eZ7+bmhuLi4irnc/DgQQQGBiI4OBg3b96Ei4sLfHx8kJaWpjB9REQERo4cicuXLyMqKgpWVlbo3bs3Xr16JZeuT58+SE5OZqb9+/dXYy9rx8k7yXibK4KlHh/eLcyql4koF8h4LH3eAEecfaqePHkCCwsLeHl5wdzcHBoaynevikQilZTtY2+D+vSoPdCMGTMGW7ZsKTN/27Zt+OKLL6qcz5o1azBp0iQEBATAyckJW7duhVAoxI4dOxSmDwsLw5QpU+Dq6gpHR0f89ttvkEgkCA8Pl0vH4/Fgbm7OTAYGFXfAFxYWIjs7W26qDYQQ7Lr6DADwRQdraHCq+dalxQMggJYpoG1aK2X7VBFCkCcqVsukzJ1kx40bh+nTpyMpKQksFgs2NjYoLCzEjBkzYGpqCj6fj06dOiEmJkZuvW7dumHatGmYOXMmjI2N4ePjg5MnT0JfX585pyQuLg4sFgsLFixg1ps4cSJGjx4NlNSkOnXqBH19fRgZGWHAgAF48uRJhdsAgNzcXIwdOxba2tqwsLDA6tWrq/UepaSkgMViYf369WjTpg34fD6cnZ3x77//Vis/Sj3UPuoMJYMBzp8/jw4dOgAAoqOjkZSUhLFjxyIwMJBJt2bNGoXri0QixMbGYuHChcw8NpsNb29vREVFVakMeXl5KCoqgqGh/Jn2ERERMDU1hYGBAXr06IEffvihwrPKQ0JCsHTp0iptUxk3kzJx91UWuBpsjGzfpPoZ0YEAjPwiMZyCzqll2/eX+UDIrdrXb/369WjWrBm2bduGmJgYcDgczJs3D0eOHMGuXbtgbW2NFStWwMfHBwkJCXKf4V27dmHy5Mm4cuUKAMDc3Bw5OTm4desW3N3dERkZCWNjY0RERDDrREZGYv78+UBJwAgMDETr1q3x/v17BAUF4bPPPkNcXBxzocoPtwEAc+fORWRkJI4fPw5TU1N8++23uHnzJlxdXZU6TrK+qB07dmDDhg0wMzPDrFmz8MUXXyAxMZFeLPMTofZAc+/ePbRt2xYoaR4AAGNjYxgbG+PevXtMuoqGPGdkZEAsFsPMTL45yczMDA8ePKhSOebPnw9LS0t4e3sz8/r06YMhQ4bA1tYWT548wbfffou+ffsiKioKHI7i64MtXLhQLjhmZ2fDysqqSmWoiKw2M8jFsno3OZOh/TOfHD09Pejo6IDD4cDc3By5ubnYsmULQkND0bdvX6Ckz/HChQv4/fffMXfuXGZde3t7rFixQi4/V1dXREREwN3dHREREZg1axaWLl2K9+/fIysrCwkJCejatStQctHb0nbs2AETExPcv3+f6Sf6cBvv37/H77//jr1796Jnz55ASTBq3Lix0vt++/ZtaGpq4vjx47CxkfZL/vDDD3B3d8erV69gZWWFuXPn4vTp0xg1ahQWLVqk9DYo1VN7oLl8+bK6i4CffvoJBw4cQEREBPh8PjN/xIgRzPNWrVqhdevWaNasGSIiIpgv0Id4PB54PF6tli81uwCn70pvAufvWYNBAKCBpjSBJgf3l/mobdvV9eTJExQVFTG31UDJdQPbt2+P+Ph4ubRubm5l1u/atSsiIiIwe/Zs/PPPPwgJCcEff/yBf//9F2/fvoWlpSVzL6jHjx8jKCgI0dHRyMjIgEQiAQAkJSUxgebDbTx58gQikQgeHh7MPENDQzg4OCi9r3FxcRgyZAgTZABAV1d+tGVoaChSU1Np7aYOqxfvjLGxMTgcDlJTU+Xmp6amwtzcvMJ1V61ahZ9++gnnz59H69YVd443bdoUxsbGSEhIqJVyV9W6i49QLCFwtzZAq8bVvOQM6D1oPsRisSDkaqhl+lgnJX94SSeU9Kv8+++/TG3B0dER3bp1Q0REBCIjI5naDAAMHDgQb9++xfbt2xEdHY3o6Gjgg05/RduoLXFxcWWa26KiomBsbIxGjRrhs88+w7t379C2bVucPn1aZeWgaqZeBBoulws3Nze5jnxZx76np2e5661YsQLff/89zp49q3Dk24devnyJN2/ewMLCotbKXplHqTk4GCMd0jy/r2PNMku7DxTlAVwdwKhZ7RSQ+uiaNWsGLpcr1ydSVFSEmJgYODlVfkmhzp07IycnB2vXrmWCiizQREREoFu3bgCAN2/e4OHDh/juu+/Qs2dPtGjRAu/evatS+TQ1NZmgBADv3r3Do0ePlNrP/Px8PH78WO5imBKJBOvWrYO/vz/YbDaOHTsGfX19xMXFoV+/fkrlT308am86qy2BgYHw9/eHu7s72rdvj3Xr1iE3NxcBAQEAgLFjx6JRo0YICQkBAPz8888ICgrCvn37YGNjg5SUFACAtrY2tLW18f79eyxduhRDhw6Fubk5njx5gnnz5sHOzo4ZWfMxhJyOh4QAfZzN0a46d9IsLema9LGxe4O6B019o6WlhcmTJ2Pu3LkwNDREkyZNsGLFCuTl5WHChAmVrm9gYIDWrVsjLCwMGzduBAB06dIFw4cPR1FRERN8DAwMYGRkhG3btsHCwgJJSUlyo9PKo62tjQkTJmDu3LkwMjKCqakpFi1apHTT1t27d8FisbB371706NED+vr6CAoKQmZmJr777jul8qLUq94EGj8/P6SnpyMoKAgpKSlwdXXF2bNnmQECSUlJch/0LVu2QCQSYdiwYXL5BAcHY8mSJeBwOLhz5w527dqFzMxMWFpaonfv3vj+++9rvQ+mPFcSMnD5YTo02Kya12YA4EXJP8wmHWqeF6VWP/30EyQSCcaMGYOcnBy4u7vj3LlzlQ6/l+natSvi4uKY2ouhoSGcnJyQmprK9KWw2WwcOHAAM2bMQMuWLeHg4IANGzYw61Rk5cqVeP/+PQYOHAgdHR3Mnj0bWVlZcmlCQ0MREBBQ7lDvuLg4ODo6Yt68eRg6dCiysrLg4+ODyMhI6OvrV2k/qbqBRZQZ0E8pLTs7G3p6esjKyirTiVkRiYRgwC//4n5yNsZ52WDJIOeaF2ZdKyAzCRjzJ9Cse83z+8QUFBQgMTERtra2coM+KPUIDg5GZGSk3NDq0qZOnYp3795h3759FeZjbGyMjIyMcpdX9L5X9/tJKade9NHUR8duvcL95Gzo8DQwo6d9zTPMTpYGGRZb2nRGUWp25syZMkOvS4uLi6t0gA71aaCBpg4SSwjWXpR2nE7tYVez82ZkXpT0z5g5AzydmudHUTV0/fp1tG/fXuEyQgju3r1bpUBTUW2GqhvqTR9NffLP43S8fJcPPYFmzS6eWdqLkguGWtH+GaruY7FYtXb5Jkr9aI2mDjpQcoXmIW0bgV+DE/vkyEacWXlUlpKiKKpW0UBTx6RlF+BiyY3NanRNs9JEef+/xlkTGmgoivq4aKCpYw7FvkSxhMDN2gDNzWqpL+X1TUBSDOhYAno1v+4aRVGUMmigqUMkEsJcBWBEu1oMCEyzWXvgI136hKIoSoYGmjrk6pM3SHqbBx2+Bga0tqy9jOmJmhRFqRENNHXI/utJAIDP2jSCgFtLgwAkkv8HGjoQgKIoNaCBpo7IeF+I8/el11sb0a6WBgEAQMYjoCAL0BTSWwNQFKUWNNDUEUdiX6JITOBipQ8ny1q8FIbsRM1GbgBHs/bypSiKqiIaaOqI94XF4GmwMbI2BwEAwPOr0kcrxWdgU9SHxo0bB19fX3UXg6pHaKCpI2b3dsD1Rd7wbdOo9jItLgQenpU+b9aj9vKlPrpu3bph5syZKl+HolSBXoKmDtET1HLTVkI4UJgF6FgATbxqN2+KoqgqojWa+uzeEemj8xCA3k+9LEIAUa56JiXuzjFu3DhERkZi/fr1YLFYYLFYePbsGSIjI9G+fXvweDxYWFhgwYIFKC4urnAdsViMCRMmwNbWFgKBAA4ODli/fr0KDzJF0RpN/SXKBR6W3EO95VB1l6ZuKsoDltfi+UrK+PY1wNWqUtL169fj0aNHaNmyJZYtWwYAEIvF6NevH8aNG4fdu3fjwYMHmDRpEvh8PpYsWaJwHRMTE0gkEjRu3BiHDh2CkZERrl69ii+//BIWFhYYPny4SneZarhooKmvHp2T/pDqWwON2qq7NFQN6OnpgcvlQigUwtzcHACwaNEiWFlZYePGjWCxWHB0dMTr168xf/58BAUFKVwHADgcDpYuXcq8trW1RVRUFP744w8aaCiVoYGmvpI1m7UcSi87Ux5NobRmoa5t10B8fDw8PT3BKvXeduzYEe/fv8fLly/RpEn552Jt2rQJO3bsQFJSEvLz8yESieDq6lqj8lBURWigqY8KsoDHF6TPabNZ+VisKjdf1RcHDhzAnDlzsHr1anh6ekJHRwcrV65EdHS0uotG1WM00NRHD04D4kLA2EF6R03qk8flciEWi5nXLVq0wJEjR0AIYWo1V65cgY6ODho3bqxwHVkaLy8vTJkyhZn35MmTj7YfVMNEhyLVR/cOSx9ps1m9YWNjg+joaDx79gwZGRmYMmUKXrx4genTp+PBgwc4fvw4goODERgYCHbJCMMP15FIJLC3t8eNGzdw7tw5PHr0CIsXL0ZMTIy6d4+q52igqW9y3wBPLkuftxyi7tJQtWTOnDngcDhwcnKCiYkJioqKcPr0aVy/fh0uLi74+uuvMWHCBHz33XflrpOUlISvvvoKQ4YMgZ+fHzw8PPDmzRu52g1FqQKLECUG9FNKy87Ohp6eHrKysqCrW4vXMCvPscnA7X2AhQvw1d+q394npKCgAImJibC1tQWfz1d3caiPpKL3/aN/PxsoWqOpT+L2SYMMiw34LFd3aSiKogAaaOqR9IfAqdnS592+BWw6qbtEFEVRAA009URRPnBonPQETduuQOdAdZeIoiiKUa8CzaZNm2BjYwM+nw8PDw9cv369wvSHDh2Co6Mj+Hw+WrVqhdOnT8stJ4QgKCgIFhYWEAgE8Pb2xuPHj1W8F0p68wQ4MhFIuw9omQJDtgPsWro7J0VRVC2oN4Hm4MGDCAwMRHBwMG7evAkXFxf4+PggLS1NYfqrV69i5MiRmDBhAm7dugVfX1/4+vri3r17TJoVK1Zgw4YN2Lp1K6Kjo6GlpQUfHx8UFBR8xD37gEQM5KRIz5XZMwT4pS3w4CQAFjBkG6Bjpr6yfSLo+JeGhb7f6ldvRp15eHigXbt22LhxIwBAIpHAysoK06dPx4IFC8qk9/PzQ25uLk6ePMnM69ChA1xdXbF161YQQmBpaYnZs2djzpw5AICsrCyYmZkhNDQUI0aMUFiOwsJCFBYWMq+zs7NhZWVV+aiWGzuB/47Kz5NIAEkRIC6Z8jKA96kAkZRKxALsewMdZ9B+mUqIxWI8evQIpqamMDIyUndxqI8kKysLr1+/hp2dHTQ15W/FQUedfRz14soAIpEIsbGxWLhwITOPzWbD29sbUVFRCteJiopCYKB8X4aPjw/+/PNPAEBiYiJSUlLg7e3NLNfT04OHhweioqLKDTQhISFyFy2ssneJQGIVhyOz2ICOpfQ8GffxgKGt8ttrgDgcDvT19ZlarlAolLtWGFX/SCQSpKenQygUQkOjXvzcfZLqxZHPyMiAWCyGmZl8s5GZmRkePHigcJ2UlBSF6VNSUpjlsnnlpVFk4cKFcgFMVqOpVMthgHlr+XksNsDRBNiaAEcDEBhKb2KmZSJ9TSlNdiXj8ppUqfqHzWajSZMm9E+FGtFfq1rG4/HA4/GUX9GitXSiVIrFYsHCwgKmpqYoKipSd3Goj4DL5TKX5aHUo14EGmNjY3A4HKSmpsrNT01NlbsXR2nm5uYVppc9pqamwsLCQi4NvaT6p4/D4YDDoaPzKOpjqBdhnsvlws3NDeHh4cw8iUSC8PBweHp6KlzH09NTLj0AXLhwgUlva2sLc3NzuTTZ2dmIjo4uN0+KoiiqrHpRowGAwMBA+Pv7w93dHe3bt8e6deuQm5uLgIAAAMDYsWPRqFEjhISEAAC++eYbdO3aFatXr0b//v1x4MAB3LhxA9u2bQNKmlhmzpyJH374Afb29rC1tcXixYthaWkJX19fte4rRVHUp6TeBBo/Pz+kp6cjKCgIKSkpcHV1xdmzZ5nO/KSkJLl2Wi8vL+zbtw/fffcdvv32W9jb2+PPP/9Ey5YtmTTz5s1Dbm4uvvzyS2RmZqJTp044e/YsvSAjRVGUEurNeTR1VVZWFvT19fHixQs6Tp+i6hjZqNDMzEzo6empuzj1Vr2p0dRVOTk5AFC1Ic4URalFTk4ODTQqRGs0KiaRSPD69Wvo6OggJycHVlZWtHZTAdk/THqMykePUeWqeowIIcjJyYGlpSUdAq1CtEajYmw2m7mHu+yEMV1dXfoDUQl6jCpHj1HlqnKMaE1G9WgIpyiKolSKBhqKoihKpWig+Yh4PB6Cg4Ord4maBoIeo8rRY1Q5eozqFjoYgKIoilIpWqOhKIqiVIoGGoqiKEqlaKChKIqiVIoGGoqiKEqlaKD5iDZt2gQbGxvw+Xx4eHjg+vXr6i6SWoSEhKBdu3bQ0dGBqakpfH198fDhQ7k0BQUFmDp1KoyMjKCtrY2hQ4eWuX9QQ/LTTz8xVxSXoccIePXqFUaPHg0jIyMIBAK0atUKN27cYJYTQhAUFAQLCwsIBAJ4e3vj8ePHai1zQ0QDzUdy8OBBBAYGIjg4GDdv3oSLiwt8fHwa5C2FIyMjMXXqVFy7dg0XLlxAUVERevfujdzcXCbNrFmzcOLECRw6dAiRkZF4/fo1hgwZotZyq0tMTAx+/fVXtG4tfwfWhn6M3r17h44dO0JTUxNnzpzB/fv3sXr1ahgYGDBpVqxYgQ0bNmDr1q2Ijo6GlpYWfHx8UFBQoNayNziE+ijat29Ppk6dyrwWi8XE0tKShISEqLVcdUFaWhoBQCIjIwkhhGRmZhJNTU1y6NAhJk18fDwBQKKiotRY0o8vJyeH2NvbkwsXLpCuXbuSb775hhB6jAghhMyfP5906tSp3OUSiYSYm5uTlStXMvMyMzMJj8cj+/fv/0ilpAghhNZoPgKRSITY2Fh4e3sz89hsNry9vREVFaXWstUFWVlZAABDQ0MAQGxsLIqKiuSOl6OjI5o0adLgjtfUqVPRv39/uWMBeowAAH/99Rfc3d3x+eefw9TUFG3atMH27duZ5YmJiUhJSZE7Rnp6evDw8Ggwx6iuoIHmI8jIyIBYLGZuwiZjZmaGlJQUtZWrLpBIJJg5cyY6duzI3HQuJSUFXC4X+vr6cmkb2vE6cOAAbt68ydwVtjR6jICnT59iy5YtsLe3x7lz5zB58mTMmDEDu3btAkqOEUqOSWkN6RjVFfTqzZRaTZ06Fffu3cO///6r7qLUKS9evMA333yDCxcu0Du6lkMikcDd3R3Lly8HALRp0wb37t3D1q1b4e/vr+7iUaXQGs1HYGxsDA6HU2ZEUGpqKszNzdVWLnWbNm0aTp48icuXLzO3UgAAc3NziEQiZGZmyqVvSMcrNjYWaWlpaNu2LTQ0NKChoYHIyEhs2LABGhoaMDMza/DHyMLCAk5OTnLzWrRogaSkJKDkc4SSY1JaQzpGdQUNNB8Bl8uFm5sbwsPDmXkSiQTh4eHw9PRUa9nUgRCCadOm4dixY7h06RJsbW3llru5uUFTU1PueD18+BBJSUkN5nj17NkTd+/eRVxcHDO5u7vjiy++YJ439GPUsWPHMsPiHz16BGtrawCAra0tzM3N5Y5RdnY2oqOjG8wxqjPUPRqhoThw4ADh8XgkNDSU3L9/n3z55ZdEX1+fpKSkqLtoH93kyZOJnp4eiYiIIMnJycyUl5fHpPn6669JkyZNyKVLl8iNGzeIp6cn8fT0VGu51a30qDNCjxG5fv060dDQID/++CN5/PgxCQsLI0KhkOzdu5dJ89NPPxF9fX1y/PhxcufOHTJ48GBia2tL8vPz1Vr2hoYGmo/ol19+IU2aNCFcLpe0b9+eXLt2Td1FUgsACqedO3cyafLz88mUKVOIgYEBEQqF5LPPPiPJyclqLbe6fRho6DEi5MSJE6Rly5aEx+MRR0dHsm3bNrnlEomELF68mJiZmREej0d69uxJHj58qLbyNlT0NgEURVGUStE+GoqiKEqlaKChKIqiVIoGGoqiKEqlaKChKIqiVIoGGoqiKEqlaKChKIqiVIoGGoqiKEqlaKChKIqiVIoGGqpOsrGxwbp16ypMw2Kx8Oeff6pk+6GhoWUuwd/QPHjwAB06dACfz4erq6u6i0N9wuhtAihKAT8/P/Tr10+tZRg3bhwyMzNVFkwrExwcDC0tLTx8+BDa2tpqKQNVP9BAQ1EKCAQCCAQCdRdDLUQiEbhcLp48eYL+/fszV0OmqOqiTWcNwNmzZ9GpUyfo6+vDyMgIAwYMwJMnT5jlIpEI06ZNg4WFBfh8PqytrZm7OhJCsGTJEjRp0gQ8Hg+WlpaYMWMGs25hYSHmzJmDRo0aQUtLCx4eHoiIiGCWy5qgTp48CQcHBwiFQgwbNgx5eXnYtWsXbGxsYGBggBkzZkAsFsuVOycnByNHjoSWlhYaNWqETZs2lbuPPXr0wLRp0+Tmpaeng8vlyl0mvrTbt2+je/fu0NHRga6uLtzc3HDjxg25csvY2NiAxWKVmWRevHiB4cOHQ19fH4aGhhg8eDCePXtWbnnFYjEmTJgAW1tbCAQCODg4YP369czyJUuWYNeuXTh+/DizrdLHtbTDhw+jVatWEAgEMDIygre3N3JzcwEA3bp1w8yZM+XS+/r6Yty4cXL79v3332Ps2LHQ1dXFl19+CRaLhdjYWCxbtgwsFgtLliwBAMyfPx/NmzeHUChE06ZNsXjxYhQVFcnlf+LECbRr1w58Ph/Gxsb47LPPmGWVfV6oekrdV/WkVO/w4cPkyJEj5PHjx+TWrVtk4MCBpFWrVkQsFhNCCFm5ciWxsrIif//9N3n27Bn5559/yL59+wghhBw6dIjo6uqS06dPk+fPn5Po6Gi5K+ROnDiReHl5kb///pskJCSQlStXEh6PRx49ekQIIWTnzp1EU1OT9OrVi9y8eZNERkYSIyMj0rt3bzJ8+HDy33//kRMnThAul0sOHDjA5GttbU10dHRISEgIefjwIdmwYQPhcDjk/PnzTBoA5NixY4QQQsLCwoiBgQEpKChglq9Zs4bY2NgQiUSi8Lg4OzuT0aNHk/j4ePLo0SPyxx9/kLi4OKbcenp6TNq0tDTmdgYvX74kHTp0IJ07dyaEECISiUiLFi3I+PHjyZ07d8j9+/fJqFGjiIODAyksLFS4bZFIRIKCgkhMTAx5+vQp2bt3LxEKheTgwYOEEEJycnLI8OHDSZ8+fZjtKsrr9evXRENDg6xZs4YkJiaSO3fukE2bNpGcnBxCFFzxmRBCBg8eTPz9/eWOta6uLlm1ahVJSEggCQkJJDk5mTg7O5PZs2eT5ORkJr/vv/+eXLlyhSQmJpK//vqLmJmZkZ9//pnJ6+TJk4TD4ZCgoCBy//59EhcXR5YvX17lzwtVP9FA0wClp6cTAOTu3buEEEKmT59OevToofAHefXq1aR58+ZEJBKVWfb8+XPC4XDIq1ev5Ob37NmTLFy4kJCSH2wAJCEhgVn+1VdfEaFQyPx4EUKIj48P+eqrr5jX1tbWpE+fPnL5+vn5kb59+zKvSwea/Px8YmBgwPxQE0JI69atyZIlS8o9Djo6OiQ0NFThsg8DTWkzZswg1tbWJC0tjRBCyJ49e4iDg4Pc8SssLCQCgYCcO3eu3O1/aOrUqWTo0KHMa39/fzJ48OAK14mNjSUAyLNnzxQur2qg8fX1LbOui4sLCQ4OrnD7K1euJG5ubsxrT09P8sUXXyhMW5XPC1U/0aazBuDx48cYOXIkmjZtCl1dXdjY2AAAc8vbcePGIS4uDg4ODpgxYwbOnz/PrPv5558jPz8fTZs2xaRJk3Ds2DEUFxcDAO7evQuxWIzmzZtDW1ubmSIjI+Wa5oRCIZo1a8a8NjMzg42NjVwHs5mZGdLS0uTK/eFdED09PREfH69wH/l8PsaMGYMdO3YAAG7evIl79+7JNRF9KDAwEBMnToS3tzd++uknuTKXZ9u2bfj999/x119/wcTEBChpgktISICOjg5zDAwNDVFQUFBhnps2bYKbmxtMTEygra2Nbdu2Me9JVbm4uKBnz55o1aoVPv/8c2zfvh3v3r1TKg8AcHd3r1K6gwcPomPHjjA3N4e2tja+++47uTLHxcWhZ8+eCtet6ueFqn/oYIAGYODAgbC2tsb27dthaWkJiUSCli1bQiQSAQDatm2LxMREnDlzBhcvXsTw4cPh7e2Nw4cPw8rKCg8fPsTFixdx4cIFTJkyBStXrkRkZCTev38PDoeD2NhYcDgcuW2WDiKamppyy1gslsJ5EomkRvs5ceJEuLq64uXLl9i5cyd69OhRYUf2kiVLMGrUKJw6dQpnzpxBcHAwDhw4INenUNrly5cxffp07N+/H61bt2bmv3//Hm5ubggLCyuzjiwYfejAgQOYM2cOVq9eDU9PT+jo6GDlypWIjo5Wap85HA4uXLiAq1ev4vz58/jll1+waNEiREdHw9bWFmw2Gx/ecurDPhUA0NLSqnRbUVFR+OKLL7B06VL4+PhAT08PBw4cwOrVq5k0FQ2gqOrnhap/aKCp5968eYOHDx9i+/bt6Ny5MwDg33//LZNOV1cXfn5+8PPzw7Bhw9CnTx+8ffsWhoaGEAgEGDhwIAYOHIipU6fC0dERd+/eRZs2bSAWi5GWlsbkXZuuXbtW5nWLFi3KTd+qVSu4u7tj+/bt2LdvHzZu3FjpNpo3b47mzZtj1qxZGDlyJHbu3Kkw0CQkJGDYsGH49ttvMWTIELllbdu2xcGDB2FqagpdXd0q7duVK1fg5eWFKVOmMPM+/FfP5XLLDJBQhMVioWPHjujYsSOCgoJgbW2NY8eOITAwECYmJkhOTmbSisVi3Lt3D927d69SOUu7evUqrK2tsWjRImbe8+fP5dK0bt0a4eHhCAgIKLO+qj8vVN1FA009Z2BgACMjI2zbtg0WFhZISkrCggUL5NKsWbMGFhYWaNOmDdhsNg4dOgRzc3Po6+sjNDQUYrEYHh4eEAqF2Lt3LwQCAaytrWFkZIQvvvgCY8eOxerVq9GmTRukp6cjPDwcrVu3Rv/+/WtU9itXrmDFihXw9fXFhQsXcOjQIZw6darCdSZOnIhp06ZBS0ur3JoJAOTn52Pu3LkYNmwYbG1t8fLlS8TExGDo0KEK0w4cOBBt2rTBl19+iZSUFGaZubk5vvjiC6xcuRKDBw/GsmXL0LhxYzx//hxHjx7FvHnz0Lhx4zJ52tvbY/fu3Th37hxsbW2xZ88exMTEwNbWlkljY2ODc+fO4eHDhzAyMoKenl6ZmmB0dDTCw8PRu3dvmJqaIjo6Gunp6UxA7tGjBwIDA3Hq1Ck0a9YMa9asQWZmZiVHXjF7e3skJSXhwIEDaNeuHU6dOoVjx47JpQkODkbPnj3RrFkzjBgxAsXFxTh9+jQzWk2VnxeqDlN3JxGlehcuXCAtWrQgPB6PtG7dmkRERMh1pG/bto24uroSLS0toqurS3r27Elu3rxJCCHk2LFjxMPDg+jq6hItLS3SoUMHcvHiRSZv2egpGxsboqmpSSwsLMhnn31G7ty5Q0g5nerBwcHExcVFbt6HHd/W1tZk6dKl5PPPPydCoZCYm5uT9evXy61Teh9kcnJyiFAoJFOmTKnwmBQWFpIRI0YQKysrwuVyiaWlJZk2bRrJz88vU+7ExEQCQOEkk5ycTMaOHUuMjY0Jj8cjTZs2JZMmTSJZWVkKt19QUEDGjRtH9PT0iL6+Ppk8eTJZsGCB3HFJS0sjvXr1Itra2gQAuXz5cpl87t+/T3x8fIiJiQnh8XikefPm5JdffpF7fyZPnkwMDQ2JqakpCQkJUTgYYO3atWXyVjQYYO7cucTIyIhoa2sTPz8/snbt2jLv75EjR4irqyvhcrnE2NiYDBkyRK48FX1eqPqJRT5swKWoT9izZ8/QrFkzxMTEoG3btuouDkVRAGigoeqFoqIivHnzBnPmzEFiYiKuXLmi7iJRFFWCDm+m6oUrV67AwsICMTEx2Lp1q7qLQ1FUKbRGQ1EURakUrdFQFEVRKkUDDUVRFKVSNNBQFEVRKkUDDUVRFKVSNNBQFEVRKkUDDUVRFKVSNNBQFEVRKkUDDUVRFKVS/wP12dum/p8WuQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" ] }, "metadata": {}, @@ -260,20 +256,29 @@ "ax.set_xlabel('assembly size at surface')\n", "ax.set_ylabel('probability')\n", "ax.set_title(f\"SHAM FFS probabilities, {nr:2.1e} M/s, T=48.5°C\")\n", - "ax.legend()\n", - "fig.savefig(f'{PREFIX}-sham-assembly-size-vs-probabilities.pdf')" + "ax.legend()\n" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 25, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "Text(0.5, 1.0, 'Mean state times at FFS surfaces')" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" ] }, "metadata": {}, @@ -293,20 +298,29 @@ "ax.set_ylabel(\"mean time to reach (s) (90% shaded)\")\n", "ax.set_xlim(0, 40)\n", "ax.set_ylim(-20, 700)\n", - "ax.set_title(\"Mean state times at FFS surfaces\")\n", - "fig.savefig(f'{PREFIX}-sham-mean-state-times.pdf')" + "ax.set_title(\"Mean state times at FFS surfaces\")\n" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 26, "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "
" + "Text(0.5, 0.98, 'Example size 20 FFS surface configurations')" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" ] }, "metadata": {}, @@ -331,44 +345,59 @@ " ax.set_axis_off()\n", " #ax.set_title(f\"size {cd[g+i, 'size']}; time {cd[g+i, 'time']} s\")\n", "\n", - "fig.suptitle(\"Example size 20 FFS surface configurations\")\n", - "fig.savefig(f'{PREFIX}-sham-example-ffs-surface-assemblies.pdf')\n", - "\n", - "# canvas = cd[g, \"canvas\"].to_numpy().reshape(cd[g, \"shape_i\"], cd[g, \"shape_j\"])\n", - "# v = np.zeros((canvas.shape[0]+2, canvas.shape[1]+2), dtype=np.uint32)\n", - "# v[1:-1, 1:-1] = canvas\n", - "# state = rts._to_rg_tileset().create_state_from_canvas(v)\n", - "# ax = sys.plot_canvas(state, annotate_tiles=True, annotate_mismatches=True, ax=ax)\n", - "# ax.set_axis_off()\n", - "# # ax.set_ylim( 5.5, 0.5)\n", - "# # ax.set_xlim(0.5, 7.5)\n", - "# ax.set_title(\"SHAM example state: size 19; time 207 s\")\n", - "# # ax.get_figure().savefig('sham-example-state.pdf')" + "fig.suptitle(\"Example size 20 FFS surface configurations\")\n" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 0.98, 'Example size 60 FFS surface configurations')" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# g = 85100\n", - "# canvas = cd[g, \"canvas\"].to_numpy().reshape(cd[g, \"shape_i\"], cd[g, \"shape_j\"])\n", - "# v = np.zeros((canvas.shape[0]+2, canvas.shape[1]+2), dtype=np.uint32)\n", - "# v[1:-1, 1:-1] = canvas\n", - "# state = rts._to_rg_tileset().create_state_from_canvas(v)\n", - "# fig, ax = plt.subplots(figsize=(3, 3))\n", - "# ax = sys.plot_canvas(state, annotate_tiles=True, annotate_mismatches=True, ax=ax)\n", - "# ax.set_axis_off()\n", - "# # ax.set_ylim( 5.5, 0.5)\n", - "# # ax.set_xlim(0.5, 7.5)\n", - "# ax.set_title(\"SHAM example state: size 19; time 207 s\")\n", - "# # ax.get_figure().savefig('sham-example-state.pdf')" + "fig, axs = plt.subplots(4, 4, figsize=(4, 4))\n", + "\n", + "cf = cd.filter(pl.col(\"size\") == 60)\n", + "\n", + "for i, ax in enumerate(axs.flat):\n", + " canvas = cf[i, \"canvas\"].to_numpy().reshape(cf[i, \"shape_i\"], cf[i, \"shape_j\"])\n", + " v = np.zeros((canvas.shape[0]+2, canvas.shape[1]+2), dtype=np.uint32)\n", + " v[1:-1, 1:-1] = canvas\n", + " state = rts._to_rg_tileset().create_state_from_canvas(v)\n", + " ax = sys.plot_canvas(state, annotate_mismatches=True, ax=ax)\n", + " xl = ax.get_xlim()\n", + " ax.set_xlim(xl[0]+1, xl[1]-1)\n", + " yl = ax.get_ylim()\n", + " ax.set_ylim(yl[0]-1, yl[1]+1)\n", + " ax.set_axis_off()\n", + " #ax.set_title(f\"size {cd[g+i, 'size']}; time {cd[g+i, 'time']} s\")\n", + "\n", + "fig.suptitle(\"Example size 60 FFS surface configurations\")\n" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ @@ -382,7 +411,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 31, "metadata": {}, "outputs": [ { @@ -395,30 +424,30 @@ " white-space: pre-wrap;\n", "}\n", "\n", - "shape: (113, 12)
surface_indexconfig_indexsizetimeprevious_configcanvasmin_imin_jmax_imax_jshape_ishape_j
u64u64u32f64u64list[u32]u64u64u64u64u64u64
0157520.047[112, 47]889821
1157530.3203531575[0, 112, … 47]879822
2428540.409191575[0, 112, … 0]8710832
3336450.4180514285[0, 0, … 0]8610833
4380360.468383364[0, 112, … 0]8710933
10844941103070.933612806[0, 0, … 690]5014151016
10911741113072.5075834494[0, 0, … 0]0015151616
11041721123072.520961174[0, 0, … 0]0015151616
11147251133072.5218144172[0, 0, … 0]0015151616
11249991143074.8971824725[0, 0, … 0]0015151616
" + "shape: (59, 10)
surface_indexconfig_indexsizetimeprevious_configcanvasmin_imin_jshape_ishape_j
u64u64u32f64u64list[u32]u64u64u64u64
02095520.0823[426, 823]8821
12095530.93847420955[654, 426, 823]7831
23740841.150220955[212, 654, … 823]6841
35021651.22512937408[212, 0, … 0]6842
4714761.50942750216[0, 212, … 0]6743
5479556882.3372383295[0, 0, … 0]34710
55123857882.955863795[0, 0, … 0]24810
56330958944.7202031238[0, 0, … 0]34811
57138559966.8783343309[108, 620, … 0]44711
58499960967.0939851385[108, 620, … 681]44611
" ], "text/plain": [ - "shape: (113, 12)\n", - "┌───────────────┬──────────────┬──────┬─────────────┬───┬───────┬───────┬─────────┬─────────┐\n", - "│ surface_index ┆ config_index ┆ size ┆ time ┆ … ┆ max_i ┆ max_j ┆ shape_i ┆ shape_j │\n", - "│ --- ┆ --- ┆ --- ┆ --- ┆ ┆ --- ┆ --- ┆ --- ┆ --- │\n", - "│ u64 ┆ u64 ┆ u32 ┆ f64 ┆ ┆ u64 ┆ u64 ┆ u64 ┆ u64 │\n", - "╞═══════════════╪══════════════╪══════╪═════════════╪═══╪═══════╪═══════╪═════════╪═════════╡\n", - "│ 0 ┆ 1575 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ 1 ┆ 1575 ┆ 3 ┆ 0.320353 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 2 │\n", - "│ 2 ┆ 4285 ┆ 4 ┆ 0.40919 ┆ … ┆ 10 ┆ 8 ┆ 3 ┆ 2 │\n", - "│ 3 ┆ 3364 ┆ 5 ┆ 0.418051 ┆ … ┆ 10 ┆ 8 ┆ 3 ┆ 3 │\n", - "│ 4 ┆ 3803 ┆ 6 ┆ 0.46838 ┆ … ┆ 10 ┆ 9 ┆ 3 ┆ 3 │\n", - "│ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … │\n", - "│ 108 ┆ 4494 ┆ 110 ┆ 3070.933612 ┆ … ┆ 14 ┆ 15 ┆ 10 ┆ 16 │\n", - "│ 109 ┆ 1174 ┆ 111 ┆ 3072.507583 ┆ … ┆ 15 ┆ 15 ┆ 16 ┆ 16 │\n", - "│ 110 ┆ 4172 ┆ 112 ┆ 3072.52096 ┆ … ┆ 15 ┆ 15 ┆ 16 ┆ 16 │\n", - "│ 111 ┆ 4725 ┆ 113 ┆ 3072.521814 ┆ … ┆ 15 ┆ 15 ┆ 16 ┆ 16 │\n", - "│ 112 ┆ 4999 ┆ 114 ┆ 3074.897182 ┆ … ┆ 15 ┆ 15 ┆ 16 ┆ 16 │\n", - "└───────────────┴──────────────┴──────┴─────────────┴───┴───────┴───────┴─────────┴─────────┘" + "shape: (59, 10)\n", + "┌───────────────┬──────────────┬──────┬────────────┬───┬───────┬───────┬─────────┬─────────┐\n", + "│ surface_index ┆ config_index ┆ size ┆ time ┆ … ┆ min_i ┆ min_j ┆ shape_i ┆ shape_j │\n", + "│ --- ┆ --- ┆ --- ┆ --- ┆ ┆ --- ┆ --- ┆ --- ┆ --- │\n", + "│ u64 ┆ u64 ┆ u32 ┆ f64 ┆ ┆ u64 ┆ u64 ┆ u64 ┆ u64 │\n", + "╞═══════════════╪══════════════╪══════╪════════════╪═══╪═══════╪═══════╪═════════╪═════════╡\n", + "│ 0 ┆ 20955 ┆ 2 ┆ 0.0 ┆ … ┆ 8 ┆ 8 ┆ 2 ┆ 1 │\n", + "│ 1 ┆ 20955 ┆ 3 ┆ 0.938474 ┆ … ┆ 7 ┆ 8 ┆ 3 ┆ 1 │\n", + "│ 2 ┆ 37408 ┆ 4 ┆ 1.1502 ┆ … ┆ 6 ┆ 8 ┆ 4 ┆ 1 │\n", + "│ 3 ┆ 50216 ┆ 5 ┆ 1.225129 ┆ … ┆ 6 ┆ 8 ┆ 4 ┆ 2 │\n", + "│ 4 ┆ 7147 ┆ 6 ┆ 1.509427 ┆ … ┆ 6 ┆ 7 ┆ 4 ┆ 3 │\n", + "│ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … │\n", + "│ 54 ┆ 795 ┆ 56 ┆ 882.337238 ┆ … ┆ 3 ┆ 4 ┆ 7 ┆ 10 │\n", + "│ 55 ┆ 1238 ┆ 57 ┆ 882.955863 ┆ … ┆ 2 ┆ 4 ┆ 8 ┆ 10 │\n", + "│ 56 ┆ 3309 ┆ 58 ┆ 944.720203 ┆ … ┆ 3 ┆ 4 ┆ 8 ┆ 11 │\n", + "│ 57 ┆ 1385 ┆ 59 ┆ 966.878334 ┆ … ┆ 4 ┆ 4 ┆ 7 ┆ 11 │\n", + "│ 58 ┆ 4999 ┆ 60 ┆ 967.093985 ┆ … ┆ 4 ┆ 4 ┆ 6 ┆ 11 │\n", + "└───────────────┴──────────────┴──────┴────────────┴───┴───────┴───────┴─────────┴─────────┘" ] }, - "execution_count": 18, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -429,14 +458,24 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 32, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "Text(0.5, 0.98, 'Example single-trajectory configurations')" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" ] }, "metadata": {}, @@ -461,7 +500,7 @@ " #ax.set_title(f\"size {cd[g+i, 'size']}; time {cd[g+i, 'time']} s\")\n", "\n", "fig.suptitle(\"Example single-trajectory configurations\")\n", - "fig.savefig(f'{PREFIX}-sham-example-trajectory.pdf')\n", + "# fig.savefig(f'{PREFIX}-sham-example-trajectory.pdf')\n", "\n", "# canvas = cd[g, \"canvas\"].to_numpy().reshape(cd[g, \"shape_i\"], cd[g, \"shape_j\"])\n", "# v = np.zeros((canvas.shape[0]+2, canvas.shape[1]+2), dtype=np.uint32)\n", @@ -477,7 +516,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 33, "metadata": {}, "outputs": [], "source": [ @@ -488,61 +527,14 @@ }, { "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
\n", - "shape: (565_000, 12)
surface_indexconfig_indexsizetimeprevious_configcanvasmin_imin_jmax_imax_jshape_ishape_j
u64u64u32f64u64list[u32]u64u64u64u64u64u64
0020.0643[229, 643]889821
0120.0530[530, 70]889821
0220.0798[798, 804]889821
0320.0831[160, 831]889821
0420.0575[575, 454]889821
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" - ], - "text/plain": [ - "shape: (565_000, 12)\n", - "┌───────────────┬──────────────┬──────┬─────────────┬───┬───────┬───────┬─────────┬─────────┐\n", - "│ surface_index ┆ config_index ┆ size ┆ time ┆ … ┆ max_i ┆ max_j ┆ shape_i ┆ shape_j │\n", - "│ --- ┆ --- ┆ --- ┆ --- ┆ ┆ --- ┆ --- ┆ --- ┆ --- │\n", - "│ u64 ┆ u64 ┆ u32 ┆ f64 ┆ ┆ u64 ┆ u64 ┆ u64 ┆ u64 │\n", - "╞═══════════════╪══════════════╪══════╪═════════════╪═══╪═══════╪═══════╪═════════╪═════════╡\n", - "│ 0 ┆ 0 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ 0 ┆ 1 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ 0 ┆ 2 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ 0 ┆ 3 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ 0 ┆ 4 ┆ 2 ┆ 0.0 ┆ … ┆ 9 ┆ 8 ┆ 2 ┆ 1 │\n", - "│ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … │\n", - "│ 112 ┆ 4995 ┆ 114 ┆ 2679.936553 ┆ … ┆ 14 ┆ 15 ┆ 14 ┆ 16 │\n", - "│ 112 ┆ 4996 ┆ 114 ┆ 5508.81212 ┆ … ┆ 12 ┆ 15 ┆ 12 ┆ 16 │\n", - "│ 112 ┆ 4997 ┆ 114 ┆ 4698.908977 ┆ … ┆ 15 ┆ 15 ┆ 13 ┆ 16 │\n", - "│ 112 ┆ 4998 ┆ 114 ┆ 4274.118838 ┆ … ┆ 15 ┆ 15 ┆ 16 ┆ 16 │\n", - "│ 112 ┆ 4999 ┆ 114 ┆ 3074.897182 ┆ … ┆ 15 ┆ 15 ┆ 16 ┆ 16 │\n", - "└───────────────┴──────────────┴──────┴─────────────┴───┴───────┴───────┴─────────┴─────────┘" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "cd" - ] - }, - { - "cell_type": "code", - "execution_count": 22, + "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "cd = cd.with_columns(\n", - " n_h=pl.col(\"canvas\").map_elements(lambda x: uh[x].sum()),\n", - " n_a=pl.col(\"canvas\").map_elements(lambda x: ua[x].sum()),\n", - " n_m=pl.col(\"canvas\").map_elements(lambda x: um[x].sum()),\n", + " n_h=pl.col(\"canvas\").map_elements(lambda x: uh[x].sum(), return_dtype=pl.Float64),\n", + " n_a=pl.col(\"canvas\").map_elements(lambda x: ua[x].sum(), return_dtype=pl.Float64),\n", + " n_m=pl.col(\"canvas\").map_elements(lambda x: um[x].sum(), return_dtype=pl.Float64),\n", ").with_columns(\n", " p_h=pl.col(\"n_h\") / pl.col(\"size\"),\n", " p_a=pl.col(\"n_a\") / pl.col(\"size\"),\n", @@ -557,14 +549,24 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 39, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" ] }, "metadata": {}, @@ -573,26 +575,36 @@ ], "source": [ "fig, ax = plt.subplots(figsize=(3, 2.12))\n", - "ax.plot(mm['size'], mm['h'], color='red')\n", - "ax.plot(mm['size'], mm['a'], color='green')\n", - "ax.plot(mm['size'], mm['m'], color='blue')\n", + "ax.plot(mm['size'], mm['h'], color='red', label='H')\n", + "ax.plot(mm['size'], mm['a'], color='green', label='A')\n", + "ax.plot(mm['size'], mm['m'], color='blue', label='M')\n", "ax.set_ylim(0, 1)\n", "ax.set_ylabel(\"fraction assemblies with >20% unique tiles\")\n", "ax.set_xlabel(\"assembly size\")\n", "ax.set_title(\"SHAM shape fractions on FFS surfaces\")\n", - "fig.savefig(f'{PREFIX}-sham-unique-tiles.pdf')" + "ax.legend()" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 41, "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "
" + "Text(0.5, 0.98, 'SHAM unique tile count histograms for FFS surfaces')" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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hw3D79m2ZRKlZsyZ8fX3l1qHodFZhYSH27t2LHj16IDExUTrd29sbq1evxtmzZ9GnTx+FMY0cORKjR49GUlISjhw5glWrVmns+yri7OwsN83W1hbv3r1T+hlJpdK4cWOZ6Q4ODjKVhTqePHkCAOjZs6fC+VZWVhVaryoSEhLAGMOCBQuwYMEChcukpaUpPaX89OlT1KlTB3Z2dkq38fz5cxgZGcld7eHk5AQbG5tKVdSlj6HkGJR1DLW13sDAQGzbtg2TJk3C3Llz0atXL/j7+2PYsGEwMiq7bSDZB4pOS7u7u+PSpUsyyym6cqZRo0YKK243NzeF29y5cydWr16NP//8U6ZiVrR86f0hKazr16+vcLpkP3Xr1g0BAQFYvHgx1q5di+7du2PIkCEYOXJkha6gUTeXlH13Zfh8vsKyrrTGjRuXuZxQKMT8+fMxf/58JCcn48KFC/jhhx+wf/9+mJiY4JdfflH62Tlz5uD3339H+/bt0ahRI/Tp0wcjR45UOIZAVeruB1VyQ5W//SdPnoAxJldeSki60Nzc3BASEoI1a9YgMjISXbp0waBBgzBq1Kjqf8pf1yp/CYFAgHbt2qFdu3Zo0qQJxo8fjwMHDlT40o+YmBgkJydj79692Lt3r9z8yMhIpZX/oEGDIBQKMXbsWOTn52P48OFqbVvZDVeUnW1QNoq/6ExZ5akaj6SVuHv3bjg5Ocktr80R5ZJth4aGKm0hKbtEU12VuSFOVR/DiqzXzMwMf/zxB86dO4cTJ07g1KlT2LdvH3r27InTp09zdtWIotHtv/zyC8aNG4chQ4Zg1qxZcHR0BJ/Px4oVK6QD1kpSFnt5+0lyH5CrV6/i2LFjiI6OxoQJE7B69WpcvXpV5uyFOlTNpbJG9leV2rVrY8SIEQgICICnpyf279+PiIgIpX/XzZo1w+PHj3H8+HGcOnVKehn0woULsXjxYqACZZ06+0Hd3CiLWCwGj8fDyZMnFeZKyeO/evVqjBs3DkePHsXp06cxffp0rFixAlevXkW9evXU2m5V08nKvyTJAI3k5OQKryMyMhKOjo4IDw+XmxcVFYXDhw9jy5YtCpPRzMwMQ4YMwS+//IJ+/fqhZs2aam3b1tZW4Sm1yp4CLknSDfHkyRM0aNBAOv3NmzdyrUJJazEjI0PmyorS8Ui6HhwdHVVqdZRWmUpV8h1MTEwqtO2GDRsiOjoa6enpSlsALi4uEIvFePLkicxAxNTUVGRkZMh07Sg6hiKRqFI5WZV34TMyMkKvXr3Qq1cvrFmzBsuXL8f8+fNx7tw5+Pr6Ko1Fsg8eP34sdwbo8ePH0vmSnwkJCXLrUDRNmYMHD6JBgwaIioqSiUlb13t36NABHTp0wLJly7Bnzx58/vnn2Lt3r9KbeymjTi5VNyYmJmjRogWePHkiPfWtjLm5OQIDAxEYGAiRSAR/f38sW7YM8+bNg6mpqVbLOlVzQ5W//YYNG4IxBjc3NzRp0qTcbXt5ecHLywvfffcdrly5Ah8fH2zZsgVLly6t9PfSJp3p8z937pzCFoykP02VEbGKfPjwAVFRURg4cCCGDRsm95o2bRqys7PLvIQsNDQUYWFhSk9Bl6Vhw4bIzMzE3bt3pdOSk5MrNZq8NF9fX5iYmGDDhg0y+3DdunUK4wGAP/74QzotNzcXO3fulFnOz88PVlZWWL58ucJ+0ZKXrilibm4OFP+ToS5HR0d0794dP/74o8IKtrxtBwQEgDEmbZGUJNk/kpuhlN5Ha9asAYr7tSUaNmwos79QfMmdshaNKszNzavk2urSl7gBkI6MllyGpuxYtW3bFo6OjtiyZYvMJWsnT57Eo0ePpPuoTp06aN68OXbt2oWcnBzpchcuXMC9e/dUjlXSCiuZw9euXUNsbKzK61DFu3fv5Mqa0vtEHerkEleePHmCpKQkuekZGRmIjY2Fra2t3BiMkv755x+Z9wKBAB4eHmCMScsHbZZ1quaGKn/7/v7+4PP5WLx4sVweMMak3zUrKwsfP36Ume/l5QUjI6MK5UlV05mWf3BwMN6/f4+hQ4fC3d0dIpEIV65cwb59++Dq6orx48dXaL2//fYbsrOzMWjQIIXzO3ToAAcHB0RGRiIwMFDhMi1btpS7m5aqRowYgTlz5mDo0KGYPn269HK5Jk2aKOwLrQgHBweEhoZixYoVGDhwIPr374/4+HicPHlS7kxFnz594OzsjIkTJ2LWrFng8/nYvn07HBwcZAoHKysrbN68GaNHj8Ynn3yCESNGSJc5ceIEfHx8sHHjRqUxtWrVCnw+HytXrkRmZiaEQiF69uyp8j0bwsPD0blzZ3h5eWHy5Mlo0KABUlNTERsbi5cvX+LOnTtKP9ujRw+MHj0a69evx5MnT9C3b1+IxWJcvHgRPXr0wLRp09CyZUuMHTsWP/30EzIyMtCtWzfExcVh586dGDJkiHRgKIov4/ryyy8REBCA3r17486dO4iOjlb7LFBJbdq0webNm7F06VI0atQIjo6OSsdXVMaSJUvwxx9/YMCAAXBxcUFaWho2bdqEevXqoXPnzkBxoW1jY4MtW7bA0tIS5ubm8Pb2hpubG1auXInx48ejW7duCAoKkl7q5+rqihkzZki3s3z5cgwePBg+Pj4YP3483r17h40bN6J58+Yy/xCUZeDAgYiKisLQoUMxYMAAJCYmYsuWLfDw8FB5HarYuXMnNm3ahKFDh6Jhw4bIzs7G1q1bYWVlJXeHPFWok0tcuXPnDkaOHIl+/fqhS5cusLOzw6tXr7Bz5068fv0a69atK7MLqE+fPnBycoKPjw9q1aqFR48eYePGjRgwYAAsLS0BLZd1quaGKn/7DRs2xNKlSzFv3jw8e/YMQ4YMgaWlJRITE3H48GFMmTIFoaGhiImJwbRp0/DZZ5+hSZMm+PjxI3bv3g0+n4+AgIBKfZ8qwfXlBqo6efIkmzBhAnN3d2cWFhZMIBCwRo0aseDgYJaamiqzrKJLQSTOnTsnc3nGp59+ykxNTVlubq7SbY8bN46ZmJiwt2/fMlbiUr+yqHqpHyu+jLF58+ZMIBCwpk2bsl9++UXp5S+KtqvskjLJZXmMMVZYWMgWL17MateuzczMzFj37t3Z/fv35T7LGGM3b95k3t7eTCAQMGdnZ7ZmzRqF62TF+9PPz49ZW1szU1NT1rBhQzZu3Dh248aNcr/31q1bWYMGDRifz5e57EiVS/0YY+zp06dszJgxzMnJiZmYmLC6deuygQMHsoMHD5a77Y8fP7Lvv/+eubu7M4FAwBwcHFi/fv3YzZs3pcsUFBSwxYsXMzc3N2ZiYsLq16/P5s2bJ3N5oWTfzpkzh9WsWZPVqFGD+fn5sYSEBKXHpfQlZJKcLHnZY0pKChswYACztLSUu3SrNMn++f777+Xmlb4MsXRenT17lg0ePJjVqVOHCQQCVqdOHRYUFMT++usvmfUcPXqUeXh4MGNjY7ljsW/fPta6dWsmFAqZnZ0d+/zzz9nLly/lYtm7dy9zd3dnQqGQNW/enP32228sICCAubu7q/RdxGIxW758OXNxcWFCoZC1bt2aHT9+XO4SMmXrKP23L1H6uNy6dYsFBQUxZ2dnJhQKmaOjIxs4cKBKOa3oUj+mRi6VVXaps72SytqnEqmpqew///kP69atG6tduzYzNjZmtra2rGfPnir9Pf3444+sa9euzN7engmFQtawYUM2a9YslpmZKbNcZcs6pmQfqZobTMW/fcYYO3ToEOvcuTMzNzdn5ubmzN3dnU2dOpU9fvyYMcbY33//zSZMmMAaNmzITE1NmZ2dHevRowf7/fffy91f1QGPaWqkGNFJrq6u6N69e7V5iAwxLK1atYKDgwPOnDnDdSiEGBSd6fMnhOiugoICuf7R8+fP486dOyrfupgQojk60+dPCNFdr169gq+vL0aNGoU6dergzz//xJYtW+Dk5IQvv/yS6/AIMThU+RNCtM7W1hZt2rTBtm3b8ObNG5ibm2PAgAH4z3/+o9JDYwghmkV9/oQQQoiBoT5/QgghxMBQ5U8IIYQYGKr8CSGEEANDlT8hhBBiYKjyJ4QQQgwMVf6EEEKIgaHKnxBCCDEwVPkTQgghBobTyn/z5s1o0aIFrKysYGVlhY4dO+LkyZPS+Xl5eZg6dSrs7e1hYWGBgIAApKamchkyIYQQovM4vcPfsWPHwOfz0bhxYzDGsHPnTnz//feIj4+Hp6cnvvrqK5w4cQIRERGwtrbGtGnTYGRkhMuXL3MVMiGEEKLzqt3tfe3s7PD9999j2LBhcHBwwJ49ezBs2DAAwJ9//olmzZohNjYWHTp04DpUQgghRCdVmwf7FBYW4sCBA8jNzUXHjh1x8+ZNFBQUwNfXV7qMu7s7nJ2dy6z88/PzkZ+fL30vFouRnp4Oe3t78Hi8KvkuhBuMMWRnZ6NOnTowMuKuR4ty0HBVhxyk/DNsKucg49jdu3eZubk54/P5zNramp04cYIxxlhkZCQTCARyy7dr147Nnj1b6frCwsIYAHoZ8OvFixdazdnyUA7Si8scpPyjF1TIQc5P+4tEIiQlJSEzMxMHDx7Etm3bcOHCBdy+fRvjx4+X+Q8WANq3b48ePXpg5cqVCtdX+r/ezMxMODs748WLF7CystL69yHcycrKQv369ZGRkQFra2vO4qAcNFzq5OCHDx/AGEONGjUAAM+fP8fhw4fh4eGBPn36VDgGyj/DpmoOqn3a/9SpU7CwsEDnzp0BAOHh4di6dSs8PDwQHh4OW1tbtdYnEAjQqFEjAECbNm1w/fp1/PDDDwgMDIRIJEJGRgZsbGyky6empsLJyUnp+oRCIYRCodx0yRUFRP+pcmpz586dqFmzJgYMGAAAmD17Nn766Sd4eHjg119/hYuLS4W3TzlIVMnBwYMHw9/fH19++SUyMjLg7e0NExMTvH37FmvWrMFXX31VoW1T/hGokINqd0rNmjULWVlZAIB79+5h5syZ6N+/PxITExESElLxSIuJxWLk5+ejTZs2MDExwdmzZ6XzHj9+jKSkJHTs2LHS2yGGbfny5TAzMwMAxMbGIjw8HKtWrULNmjUxY8YMrsMjBuDWrVvo0qULAODgwYOoVasWnj9/jl27dmH9+vVch0f0nNot/8TERHh4eAAADh06hIEDB2L58uW4desW+vfvr9a65s2bh379+sHZ2RnZ2dnYs2cPzp8/j+joaFhbW2PixIkICQmBnZ0drKysEBwcjI4dO9JIf1JpL168kJ5xOnLkCAICAjBlyhT4+Pige/fuXIdHDMD79+9haWkJADh9+jT8/f1hZGSEDh064Pnz51yHR/Sc2i1/gUCA9+/fAwB+//13ad+UnZ2d9IyAqtLS0jBmzBg0bdoUvXr1wvXr1xEdHY3evXsDANauXYuBAwciICAAXbt2hZOTE6KiotQNmRA5FhYW+Oeff4DigleSc6ampvjw4QPH0RFD0KhRIxw5cgQvXrxAdHS0tCxNS0uj0/NE69Ru+Xfu3BkhISHw8fFBXFwc9u3bBwD466+/UK9ePbXW9fPPP5c539TUFOHh4QgPD1c3TELK1Lt3b0yaNAmtW7fGX3/9JT1r9eDBA7i6unIdHjEACxcuxMiRIzFjxgz07NlT2p15+vRptG7dmuvwiJ5Tu+W/ceNGGBsb4+DBg9i8eTPq1q0LADh58iT69u2rjRgJ0bjw8HB07NgRb968waFDh2Bvbw8AuHnzJoKCgrgOjxiAYcOGISkpCTdu3EB0dLR0eq9evbB27VpOYyP6j/NL/bQtKysL1tbWyMzMpFNpeq66HuvqGhfRvIoc64SEBDx9+hRdu3aFmZkZGGMavRkP5Z9hUfV4V+gWVE+fPsV3332HoKAgpKWlAcUt/wcPHlQ8YkKq2MWLFzFq1Ch06tQJr169AgDs3r0bly5d4jo0YgD++ecf9OrVC02aNEH//v2RnJwMAJg4cSJmzpzJdXhEz6ld+V+4cAFeXl64du0aoqKikJOTAwC4c+cOwsLCtBEjIRp36NAh+Pn5wczMDLdu3ZLeFCUzMxPLly/nOjxiAGbMmAETExMkJSVJb/QDAIGBgTh16hSnsRH9p3blP3fuXCxduhRnzpyBQCCQTu/ZsyeuXr2q6fgI0YqlS5diy5Yt2Lp1K0xMTKTTfXx8cOvWLU5jI4bh9OnTWLlypdxA6caNG9OlfkTr1K787927h6FDh8pNd3R0xNu3bzUVFyFa9fjxY3Tt2lVuurW1NTIyMjiJiRiW3NxcmRa/RHp6usI79BGiSWpX/jY2NtK+qZLi4+OlI/8Jqe6cnJyQkJAgN/3SpUto0KABJzERw9KlSxfs2rVL+p7H40EsFmPVqlXo0aMHp7ER/af2df4jRozAnDlzcODAAWmyXr58GaGhoRgzZox2oiREwyZPnoyvv/4a27dvB4/Hw+vXrxEbG4vQ0FAsWLCA6/CIAVi1ahV69eqFGzduQCQSYfbs2Xjw4AHS09Nx+fJlrsMjek7tyn/58uWYOnUq6tevj8LCQnh4eKCwsBAjR47Ed999p50oCdGwuXPnQiwWo1evXnj//j26du0KoVCI0NBQBAcHcx0eMQDNmzfHX3/9hY0bN8LS0hI5OTnw9/fH1KlTUbt2ba7DI3quwtf5JyUl4f79+8jJyUHr1q3RuHFjzUenAXSNq+GoyLEWiURISEhATk4OPDw8YGFhUS3iIrqpOh7r6hgT0R5Vj7faLX8JZ2dnODs7V/TjhFQLAoFA+qAqQrTt7t27Ki/bokULrcZCDJtKlb86j+pds2ZNZeIhRGv8/f1VXpYeIEW0oVWrVuDxeCjvhCuPx0NhYWGVxUUMj0qVf3x8vEor0+QtKQnRNGtra65DIAYuMTGR6xAIAVSt/M+dO6f9SAjRsh07dnAdAjFwLi4uXIdACFCZPn9CCCHq+e2339CvXz+YmJjgt99+K3PZQYMGVVlcxPCoVPn7+/sjIiICVlZW5fabUl8pqa4++eQTnD17Fra2tmjdunWZ3VR0i1+iDUOGDEFKSgocHR0xZMgQpctRnz/RNpUqf2tra2lBaWVlRX37RCcNHjxYetvUwYMHUx6TKicWixX+TkhVq/B1/rqCrnE1HNX1WFfXuIh6DsW9k3kf0N5Wbhl1jvWuXbsQGBgodx9/kUiEvXv3auyOqZR/hkXV4632vf179uyp8MEnWVlZ6Nmzp/qREsKBBg0a4J9//pGbnpGRQff2J1Vi/PjxyMzMlJuenZ2N8ePHcxITMRxqV/7nz5+HSCSSm56Xl4eLFy9qKi5CtOrZs2cK+1Tz8/Px8uVLTmIihoUxprDr6eXLl3RZKtE6lUf7l7wz1cOHD5GSkiJ9X1hYiFOnTtFT/Ui1V3KEdXR0tEwhW1hYiLNnz8LNzY2j6IghkAw25fF46NWrF4yN/1cMFxYWIjExEX379uU0RqL/VK78JXem4vF4Ck/vm5mZYcOGDZqOjxCNkoyw5vF4GDt2rMw8ExMTuLq6YvXq1RxFR6qL0v37miTJwdu3b8PPz0/meRICgQCurq4ICAjQ2vYJgTqVf2JiIhhjaNCgAeLi4uDg4CCdJxAI4OjoCD6fr604CdEIyQhrNzc3XL9+HTVr1uQ6JGJgwsLCAACurq4IDAyEqakp1yERA6Ry5S+5MxVdnkL0Ad1mlXCt9JknQqqS2gP+CCGEEKLb6Pa+hBBSTJt9/YRUJ9TyJ4QQQgwMVf6ElJKens51CIQQolV02p+QYqdPn8a2bdtw7NgxfPjwgetwiJ5asmSJSsstXLhQ67EQw6Vy5W9ra6vSg1Co1UR0yfPnz7F9+3bs3LkT7969Q79+/bBr1y6uwyJ6bNGiRahTpw4cHR2h7NEqPB6PKn+iVSpX/uvWrZP+zhjDV199hSVLlsDR0VFbsRGiFSKRCFFRUdi2bRsuX74MX19fvHz5EvHx8fDy8uI6PFKFVB3gV7KOruyT0Pr164eYmBi0bdsWEyZMwMCBA2FkRD2wpGqpXPmXviY1ODgYAQEB9BAUolOCg4Px66+/onHjxhg1ahT27dsHe3t7mJiY0E2qSJU4ceIEXr9+jZ07d2LWrFn44osvMGbMGEyYMAFNmzblOjxiIDj9d3PFihVo164dLC0t4ejoiCFDhuDx48cyy+Tl5WHq1Kmwt7eHhYUFAgICkJqaylnMRLdt3rwZX3zxBU6fPi3NK0KqWp06dTBv3jw8fvwY+/btQ1paGtq1awcfHx8ab0KqBKeV/4ULFzB16lRcvXoVZ86cQUFBAfr06YPc3FzpMjNmzMCxY8dw4MABXLhwAa9fv4a/vz+XYRMdtnv3bsTFxaF27doIDAzE8ePHFT7dj5Cq0q5dO/To0QPNmjVDfHw8CgoKuA6JGABOR/ufOnVK5n1ERAQcHR1x8+ZNdO3aFZmZmfj555+xZ88e6cOEduzYgWbNmuHq1avo0KEDR5ETXRUUFISgoCAkJiYiIiICU6dOxfv37yEWi/Hw4UN4eHhwHSKpJEk/fkB7W7lpqpL08Uv695nMtPIHPqsiNjYW27dvx/79+9GkSROMHz8eI0eOhJWVlUbWT0hZVK78Q0JCZN6LRCIsW7ZM7rnTa9asqXAwmZmZAAA7OzsAwM2bN1FQUABfX1/pMu7u7nB2dkZsbKzCyj8/Px/5+fnS91lZWRWOh+gvNzc3LF68GIsWLcLp06fx888/Y9SoUfjmm2/g7++P9evXV3jdlIOkLKtWrUJERATevn2Lzz//HBcvXkSLFi00tn7KP6IKlSv/+Ph4mfedOnXC33//LTNNlUsBlRGLxfjmm2/g4+OD5s2bAwBSUlIgEAhgY2Mjs2ytWrWQkpKicD0rVqzA4sWLKxwHMSw8Hg9+fn7w8/NDeno6du3ahR07dlRqnZSDpCxz586Fs7Mzhg8fDh6Ph4iICIXLVbQhRflHVKFy5X/u3DmtBjJ16lTcv38fly5dqtR65s2bJ3OWIisrC/Xr19dAhETf2dnZ4ZtvvsE333xTqfVQDpKydO3aFTweDw8ePFC6TGUaUpR/RBXV4g5/06ZNw/Hjx/HHH3+gXr160ulOTk4QiUTIyMiQaf2npqbCyclJ4bqEQiGEQmGVxE2IIpSD1YMq/fyK+vahhf79ks6fP6/xdZZE+UdUwelof8YYpk2bhsOHDyMmJgZubm4y89u0aQMTExOcPXtWOu3x48dISkpCx44dOYiYEEII0X2ctvynTp2KPXv24OjRo7C0tJT241tbW8PMzAzW1taYOHEiQkJCYGdnBysrKwQHB6Njx4400p8QQgipIE4r/82bNwMAunfvLjN9x44dGDduHABg7dq1MDIyQkBAAPLz8+Hn54dNmzZxEi8hhBCiDzit/JU91KIkU1NThIeHIzw8vEpiIobj4sWL+PHHH/H06VMcPHgQdevWxe7du+Hm5obOnTtzHR5RovR1/Opcw6+sj1/MeDLzJUqOu+MVL12JsXiEVBsV6vO/ePEiRo0ahY4dO+LVq1dA8Z3TKjtSn5CqcujQIfj5+cHMzAzx8fHS66IzMzOxfPlyrsMjhBCtUrvyp0KT6IOlS5diy5Yt2Lp1K0xMTKTTfXx8cOvWLU5jI4aDGlKEK2pX/lRoEn3w+PFjdO3aVW66tbU1MjIyOImJGBZqSBEuqV35U6FJ9IGTkxMSEhLkpl+6dIkeU02qBDWkCJfUHvAnKTRdXV1lplOhSXTJ5MmT8fXXX2P79u3g8Xh4/fo1YmNjERoaigULFnAdHlGg9MC+8gb6MVb+zXuUDfArPbiPV/zSJGpIES6pXflToUn0wdy5cyEWi9GrVy+8f/8eXbt2hVAoRGhoKIKDg7kOjxgAakgRLqld+VOhSfQBj8fD/PnzMWvWLCQkJCAnJwceHh6wsLDgOjRiIKghRbikduVPhSbRJwKBAB4eHlyHQQwQNaQIlyp8kx8qNA3Hobh30huq6IsePXqU+eS0mJiYKo2HyFPn5j1QcAMfMVPety8hSQEjXnEfv2R6GctqCjWkCJfUrvyp0CT6oFWrVjLvCwoKcPv2bdy/fx9jx47lLC5ieKghRbigduVPhSbRB2vXrlU4fdGiRcjJyanyeIjhoYYU4ZLalT8VmkSfjRo1Cu3bt8d///tfrkMheo4aUoRLGnuwDxWa+qP0g1PKmle6X1bXxwbExsbC1NSU6zAMlir9/MoezlPWNfylr983KnH9fklV+dAeakgRLmms8qdCk+gSf39/mfeMMSQnJ+PGjRt0mRXhFDWkSFVQu/KnQpPoA2tra5n3RkZGaNq0KZYsWYI+ffpwFhch1JAiVUHtyp8KTaIPduzYwXUIxMBRQ4pwSe3KnwpNQgipPGpIES5prM+f6I+yBvope196AGB1H/hna2tb5mVWJaWnp2s9HkOjzg18FN28B2U8nEeCxyv/5j1VOcCvNGpIES6pXflToUn0wYIFC7B06VL4+fmhY8eOQHFfa3R0NBYsWAA7OzuuQySEEK1Ru/KnQpPog8uXL2PJkiWYNm2adNr06dOxceNG/P777zhy5Ain8RH9Rw0pwiW1K38qNIk+iI6OxsqVK+Wm9+3bF3PnzuUkJmJYqCFFuKR25U+Fpv4rqz+2vL796t7XL2Fvb4+jR49i5syZMtOPHj0Ke3t7zuLSN5V5OI+ym/dI+vyl/filbuAjfVhPifVqsm9fUzlODSnCJbUrfyo0iT5YvHgxJk2ahPPnz8Pb2xsAcO3aNZw6dQpbt27lOjxiAKghRbikduVPhSbRB+PGjUOzZs2wfv16REVFAQCaNWuGS5cuSfOaEG2ihhThktqVPxWaRF94e3sjMjKS6zCIgaKGFOFSha7zp0JTN6jb3yrpy1TlOn9d6dsvKSsrC1ZWVtLfyyJZjqhO3XxDGQ/pETOe0uv3+TzZvv3S1/Bro3+/It+tPNSQIlxSqfKnQpPoA1tbWyQnJ8PR0RE2NjYKL7NijIHH46GwsJCTGIlhoYYU4YpKlT8VmkQfxMTESC+fOnfuHNfhEANEDSlSXahU+VOhSfRBt27dFP5OSFWhhhSpLlSq/KnQrP4U9Umq219ZVr++LvbxlycjIwNxcXFIS0uDWCyWmTdmzBjO4tI1quSXsr59yXQx48lM56lw/X5V3Je/5HfTxN8ANaRIdVGhAX9UaBJdd+zYMXz++efIycmBlZWVTAuMx+NRHhOtoIYUqS7Urvyp0CT6YObMmZgwYQKWL1+OGjVqcB0OMVDUkCJcUbvy12Sh+ccff+D777/HzZs3kZycjMOHD2PIkCHS+YwxhIWFYevWrcjIyICPjw82b96Mxo0bV2q7hLx69QrTp0+nip9whhpShEtGKiwjQ5OFZm5uLlq2bInw8HCF81etWoX169djy5YtuHbtGszNzeHn54e8vLxKb5sYNj8/P9y4cYPrMIgBkzSkcnJykJGRgXfv3klf9BQ/om1qt/wlhWaDBg0qvfF+/fqhX79+CucxxrBu3Tp89913GDx4MABg165dqFWrFo4cOYIRI0ZUevu6RNVBeyUH+ZX3mdIDmJQ9rEcfDRgwALNmzcLDhw/h5eUFExMTmfmDBg3iLDauaPJGNqUH+IlLPZyn9HxJm9dIMqiPxzR6857K5rQ2bvJDZ58Il9Su/Kuq0ExMTERKSgp8fX2l06ytreHt7Y3Y2FillX9+fj7y8/Ol78u7lpYYpsmTJwMAlixZIjevspdZUQ4SVWiyIVUS5R9RhdqVvzYLzZJSUlIAALVq1ZKZXqtWLek8RVasWIHFixdrJAaiv0oPrtIkykGiCm01pCj/iCrUrvy1WWhqwrx58xASEiJ9n5WVhfr163MaEzEslINEFdpqSFH+EVVU6Dr/quDk5AQASE1NRe3ataXTU1NT0apVK6WfEwqFEAqFVRJjdaRO32TpPn5D6OuXUFTglrRw4cIKr1vXcrCy/dkl++9LPpin9LySJN33kof0GJV+SI8GbuCjiXzW5jgYbTWkdCH/DGl8UXWlduWvzUKzJDc3Nzg5OeHs2bPSyj4rKwvXrl3DV199pZFtEMN1+PBhmfcFBQVITEyEsbExGjZsqLE8JoSQ6kjtyl+ThWZOTg4SEhKk7xMTE3H79m3Y2dnB2dkZ33zzDZYuXYrGjRvDzc0NCxYsQJ06dWTuBUBIRcTHx8tNy8rKwrhx4zB06FBOYiKGpaoaUoQoonblr8lC88aNG+jRo4f0vaSfauzYsYiIiMDs2bORm5uLKVOmICMjA507d8apU6dgamqqbtiElMvKygqLFy/Gp59+itGjR3MdDtFzdPaJcInHGCvdHVch9+7dw6effopnz55pYnUak5WVBWtra2RmZnL2iExlfaqlH7wT0N5WK9cTl96evtLEsb506RI+/fRTvHunueNQnXNQHao8nEdZ3z6vxPX7MtNLza+I6pTXlT3WJRtSmvoHlKv8KyvnqtMx0zeqHm+NDfjLzMxEZmamplZHiFatX79e5j1jDMnJydi9e7fSG08Rom109olUFbUrfyo0iT5Yu3atzHsjIyM4ODhg7NixmDdvHmdxEUINKVIV1K78qdAk+iAxMZHrEIiBo4YU4ZLalT8VmoQQUnnUkCJcqrY3+dEnyga3lB4Qo8qgrNKDBMvbhqL102Ab/VeZAX6qDOxTNJ3Hk30wDzQ8sE/f6FtDqrzyhcqd6kXtR/oSQgghRLdR5U8IIYQYGKr8icH45JNPpNfvL1myBO/fv+c6JEII4YRKN/n55JNPcPbsWdja2mLJkiUIDQ1FjRo1qibCStLWDS60eTMeTSjZv6aNvv7qOH6gvGNtZmaGJ0+eoF69euDz+UhOToajoyPncVWEph7GgzL69llxT71YSQkh6b43KvFwnsr27VenfKqI6nBDp9I0HZMmyj5dP87qqOqyUqM3+Xn06BFyc3Nha2uLxYsX48svv9SZyp8QiVatWmH8+PHo3LkzGGP473//CwsLC4XL0q1ViTbockOK6BeVKn8qNIk+iIiIQFhYGI4fPw4ej4eTJ0/C2Fj+T4DH41EeE62ghhSpLlSq/KnQJPqgadOm2Lt3L1B8TfXZs2er5LQ/IRLUkCLVhUqVvyEXmrrSt1+6X6msuLXxncq774Amt6mJvjOxWKyRWKpCRfZd6ZE8ZfXrl76uvzRFffuo5LX7htTnW5KuNaS0Vf6p2g9eXrmmzv1NSlO0zvLuyaJK+apsXer2/ZcVlybGEah9kx9dKjQJKcvTp0+xbt06PHr0CADg4eGBr7/+Gg0bNuQ6NKKnDLkhRaqXCl3q9/TpUwQHB8PX1xe+vr6YPn06nj59qvnoCNGS6OhoeHh4IC4uDi1atECLFi1w7do1eHp64syZM1yHRwyAWCymip9wRu2Wf3R0NAYNGoRWrVrBx8cHAHD58mV4enri2LFj6N27tzbiJESj5s6dixkzZuA///mP3PQ5c+ZQHpMqQWefCFdUus6/pNatW8PPz09hoXn69GncunVL0zFWirrXuFb3Pn5SRFFflzrH2tTUFPfu3UPjxo1lpv/1119o0aIF8vLyNBarpnKwZN+8smvyJXilevAl9+OXrktm2eKf0r58JvPeqNR8dRha3746x1pZQ+rOnTsabUipExOVf7qlMuWg2i3/R48eYf/+/XLTJ0yYgHXr1qm7OkI44eDggNu3b8tV/rdv36ZTsaRK0NknwiW1K38qNIk+mDx5MqZMmYK///4bnTp1AopbXStXrkRISAjX4REDQA0pwiW1K38qNIk+WLBgASwtLbF69Wrps9Pr1KmDRYsWYfr06VyHRwwANaQIl9Su/KnQJPqAx+NhxowZmDFjBrKzswEAlpaWXIdFDAg1pAiX1K789a3QLD3ARfIQk//9LBrlVHowVOkbnaASDzMh3OI6fyU5KBm8J7mTRqG4KKE+Fk/4yP73XrKMJOX4PMnPopUYFyeoojyVnc5K5Hapn5XIZ0Mb6FcR1akhVToHJQNCxSUGlCor+6jc001qV/4lcV1oEkKIrtK3hhTRLZWq/AkhhFQeVfqkqlXoDn+EEEII0V0G3fI/FPcOWaKi/3/yC4um5Rf3s0r6uiT9W6b8ogmC4gkmRkXv+bz/PfBErs9Ui7GrdWcmPaMv313SzyrJwdyCoozJ/lj0M7OgaPr7wqL3ku9tzGMwL85Ha5Oin+bGRT9rGMv2y0rGAGijX1+V7yZR3gNRlD2gSpV1KluOxh2U7+C1on2VU5x7ouLyr6BUOcjn/a8MlJZ9RpJ5ZedYVSnvwVSVWSdPyXtdRi1/YrCmTZuG9PR0rsMghJAqV6HKnwpNoqtevnwp/X3Pnj3IyckBAHh5eeHFixccRkYIIVVH5cqfCk2iD9zd3eHi4oKRI0ciLy9PmrvPnj1DQUEB1+ERA0MNKcIVlfv83d3dYW9vDx8fH2mh6ezsrNOF5uq/zZCdW3SJDWNimXl8YwEAwMrUDADQ2LSot8dJULScpUnxT2MGgXQ8gKRPrGgdkn5Xfemj5ork2mNN9E9nZGTg1q1buHjxIqKiotC/f3/UqlUL+fn5iI6Ohr+/P2rVqlX5Dalg6eOiPz9RTnFf9kdR0U9x8QAUftF8I7Oih3M4WBSNCG9eQyzNP6vifKwh6Y/lF3+09DgUjjspy3tgTOn5h+LeKe2zV3X8QHX18uVL1KtXDyhuSM2ePRt2dnbw8vLC//3f/6F+/fpVFsvW50XlW8r7D0CJcpBXnDDGJkXlYD0hH87Conl2xblnYSw73kRYakyAcalyUEK9R8kVf0bJdF4F+vqV9dszPenLV5XKLf+MjAwcOHAAbdq0gVgsRv/+/dGkSRNpoZmamqrdSAnRgIKCArRv3x4zZ86EmZkZ4uPjsWPHDvD5fGzfvh1ubm5o2rQp12ESPUZnn0h1oHLlT4Um0Qc2Njbw9vZGSEgIRCIRPnz4AB8fHxgbG2Pfvn149+4dfv75Z67DJHqMGlKkOlC58uey0AwPD4erqytMTU3h7e2NuLg4rWyH6L9Xr17hu+++g1AoxMePH9GmTRt06dIFIpEIt27dAo/HQ+fOnbkOk+gxakiR6kDlyp+rQnPfvn0ICQlBWFgYbt26hZYtW8LPzw9paWka3xbRfzVr1sSnn36KFStWoEaNGrh+/TqCg4PB4/EQGhoKa2trdOvWjeswiR6js0+kOuAxpv7wC1tbW/zxxx949OgRxowZAycnJ6SmpqJ9+/a4cOGCRgP09vZGu3btsHHjRgCAWCxG/fr1ERwcjLlz55b7+aysLFhbWyMzMxNWVlYy87p+9jWYrTMAoMC6aACOyMKh6L2ZTdH2zIsGDxlbFP10MjMFALgUD36pLRTDykRyg5WiaWb8/90ACNVgsJU2VOVXkuy/kpn6eScbueXKOtaK2Nra4s6dO3B2doalpSXu3LmDGjVq4MKFCwgMDNRY/Mri6vrZ1wAAZucKAMirWfRo1zybukXTbWoDANxsir7rJ5YfAQBOZoXSwVYCPcu1sgbzKZtXnQb4qZKDb9++RWxsLK5cuYI1a9aAx+OhXbt2iIuLQ2RkJAYNGgSBQFAlMUlz0KZokGGBVZ2in+b2AICPpkXLf6xhC15xGWhao2ha06KiEPVNi8o9G8kg6OLyUFIOGhuVX8Wom7Zc53lFBi1qw2ifipeDFb7Dn7W1NYYPH46JEyciJiZGWmhqkkgkws2bN6VPvAIAIyMj+Pr6IjY2VuFn8vPzkZ+fL32fmZkJFO+Q0j4W5IOJ8op+z38PACg0zi36ySvaNWKjop88ftEw6o+saES2qLAo0fM/ipFXnOy84sofelYgc01R5Z+VJX/SSnKMVf1/9u7du6hbt6iidXFxgYmJCZycnCpd8auagx8LipaR5GChJAfzii6jZR+KrkQpEBTfhdKoqPL/IC4Ev7jy/1g61yoVOfeysor+zt7nyP+9KpsnmV4dqJKDkrNPn376KbZs2SLTkAoNDcXo0aMr1ZBStwxEiRz8XzlYVLMXomjfFhqZgFd89UnxtSgoKC7u8sVFv+QVl3/GJpLbAlLlr22VKgdZBSQlJbHCwkLGGGOenp4sKSmpIqsp16tXrxgAduXKFZnps2bNYu3bt1f4mbCwMFZ81Qa9DPT14sULreSjqigH6aVqDtrY2LDnz58zxhizsLBgT58+ZcnJyWzv3r2Uf/Sq1Ku8HKzQaf+q8vr1a9StWxdXrlxBx44dpdNnz56NCxcu4Nq1a3KfKf1fr1gsRnp6Ouzt7ZGdnY369evjxYsXKp0WJpqTlZWl9X3PGEN2djbq1KkDIyPu7lytLAdNTEzg7OxM+ceBqsg/VCAHX7x4gbp168LIyAjNmzfHyZMnK32dP5WB1VN1y8Fq/WCfmjVrgs/ny136kpqaCicnJ4WfEQqFEAqFMtNsivtMJTeusLKyosTniLb3vbW1tdbWrSplOSg5HUf5x52q2Pfq5GDJiv7+/fsa2T6VgdVbdcnBav1gH4FAgDZt2uDs2bPSaWKxGGfPnpU5E0AIIYQQ1VXrlj8AhISEYOzYsWjbti3at2+PdevWITc3F+PHj+c6NEIIIUQnVfvKPzAwEG/evMHChQuRkpKCVq1a4dSpUxW6/7pQKERYWJjcKTGifbTvaR9wifZ9EdoP3Klu+75aD/gjhBBCiOZV6z5/QgghhGgeVf6EEEKIgaHKnxBCCDEwVPkTQgghBsZgKn96LLD2LVq0CDweT+bl7u4unZ+Xl4epU6fC3t4eFhYWCAgIMKhnl1MOah/lYNkoB7VLl/LPICp/eixw1fH09ERycrL0denSJem8GTNm4NixYzhw4AAuXLiA169fw9/fn9N4qwrlYNWhHFSMcrBq6Ez+VfjpETqkffv2bOrUqdL3hYWFrE6dOmzFihWcxqVvwsLCWMuWLRXOy8jIYCYmJuzAgQPSaY8ePWIAWGxsbBVGyQ3KwapBOagc5aD26VL+6X3LX/JYYF9fX+m08h4LTCruyZMnqFOnDho0aIDPP/8cSUlJAICbN2+ioKBA5ji4u7vD2dlZ748D5WDVohyURzlYdXQl//S+8n/79i0KCwvl7ghYq1YtpKSkcBaXPvL29kZERAROnTqFzZs3IzExEV26dEF2djZSUlIgEAikDxiRMITjQDlYdSgHFaMcrBq6lH/V/va+RHf069dP+nuLFi3g7e0NFxcX7N+/H2ZmZpzGRgwD5SDhki7ln963/CvyWGCiGTY2NmjSpAkSEhLg5OQEkUiEjIwMmWUM4ThQDnKHcrAI5SA3qnP+6X3lT48F5k5OTg6ePn2K2rVro02bNjAxMZE5Do8fP0ZSUpLeHwfKQe5QDhahHORGtc6/Kh9iyIG9e/cyoVDIIiIi2MOHD9mUKVOYjY0NS0lJ4To0vTJz5kx2/vx5lpiYyC5fvsx8fX1ZzZo1WVpaGmOMsS+//JI5OzuzmJgYduPGDdaxY0fWsWNHrsOuEpSDVYNyUDnKQe3TpfwziMqfMcY2bNjAnJ2dmUAgYO3bt2dXr17lOiS9ExgYyGrXrs0EAgGrW7cuCwwMZAkJCdL5Hz58YP/617+Yra0tq1GjBhs6dChLTk7mNOaqRDmofZSDZaMc1C5dyj96pC8hhBBiYPS+z58QQgghsqjyJ4QQQgwMVf6EEEKIgaHKnxBCCDEwVPkTQgghBoYqf0IIIcTAUOVPCCGEGBiq/AkhhBADQ5W/Hhg3bhyGDBnCdRjEgFEOEi5R/qmP7vCnBzIzM8EYk3tONCFVhXKQcInyT31U+RNCCCEGhk7765CDBw/Cy8sLZmZmsLe3h6+vL3Jzc2VOeT179gw8Hk/u1b17d+l6Ll26hC5dusDMzAz169fH9OnTkZuby+E3I7qCcpBwifJPc6jy1xHJyckICgrChAkT8OjRI5w/fx7+/v4ofeKmfv36SE5Olr7i4+Nhb2+Prl27AgCePn2Kvn37IiAgAHfv3sW+fftw6dIlTJs2jaNvRnQF5SDhEuWfZtFpfx1x69YttGnTBs+ePYOLi4vMvHHjxiEjIwNHjhyRmZ6Xl4fu3bvDwcEBR48ehZGRESZNmgQ+n48ff/xRutylS5fQrVs35ObmwtTUtMq+E9EtlIOES5R/mmXMdQBENS1btkSvXr3g5eUFPz8/9OnTB8OGDYOtra3Sz0yYMAHZ2dk4c+YMjIyKTvLcuXMHd+/eRWRkpHQ5xhjEYjESExPRrFmzKvk+RPdQDhIuUf5pFlX+OoLP5+PMmTO4cuUKTp8+jQ0bNmD+/Pm4du2awuWXLl2K6OhoxMXFwdLSUjo9JycHX3zxBaZPny73GWdnZ61+B6LbKAcJlyj/NItO++uowsJCuLi4ICQkBHfv3pU55XXo0CEEBQXh5MmT6NWrl8znPv/8c6SmpuL333/nKHKiLygHCZco/yqHBvzpiGvXrmH58uW4ceMGkpKSEBUVhTdv3sidorp//z7GjBmDOXPmwNPTEykpKUhJSUF6ejoAYM6cObhy5QqmTZuG27dv48mTJzh69KjBDXYh6qMcJFyi/NMwRnTCw4cPmZ+fH3NwcGBCoZA1adKEbdiwgTHG2NixY9ngwYMZY4zt2LGDAZB7devWTbquuLg41rt3b2ZhYcHMzc1ZixYt2LJlyzj7bkQ3UA4SLlH+aRad9ieEEEIMDJ32J4QQQgwMVf6EEEKIgaHKnxBCCDEwVPkTQgghBoYqf0IIIcTAUOVPCCGEGBiq/AkhhBADQ5U/IYQQYmCo8ieEEEIMDFX+hBBCiIGhyp8QQggxMP8PchoAevSJAkYAAAAASUVORK5CYII=", + "text/plain": [ + "
" ] }, "metadata": {}, @@ -601,7 +613,7 @@ ], "source": [ "s = \"a\"\n", - "fig, axs = plt.subplots(1, 3, figsize=(5, 2.12))\n", + "fig, axs = plt.subplots(1, 3, figsize=(5, 2.12), constrained_layout=True)\n", "\n", "for s, ax in zip(['h', 'a', 'm'], axs):\n", " sns.histplot(x=cd['size'], y=cd[f'n_{s}'], discrete=True, ax=ax)# , bins=50) # , height=2)\n", @@ -611,7 +623,7 @@ " ax.set_ylim(0, 30)\n", "\n", "fig.suptitle(\"SHAM unique tile count histograms for FFS surfaces\")\n", - "fig.savefig(f'{PREFIX}-sham-unique-tile-histograms.pdf')\n", + "# fig.savefig(f'{PREFIX}-sham-unique-tile-histograms.pdf')\n", "#sns.histplot(x=cd['size'], y=cd['n_h'], discrete=True)# , bins=50) # , height=2)\n", "#sns.histplot(x=cd['size'], y=cd['n_m'], discrete=True)# , bins=50) # , height=2)" ] @@ -633,7 +645,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.3" + "version": "3.12.4" }, "orig_nbformat": 4 }, diff --git a/examples/ffs/simple.ipynb b/examples/ffs/simple.ipynb index 4b70e8f..630cb8e 100644 --- a/examples/ffs/simple.ipynb +++ b/examples/ffs/simple.ipynb @@ -24,8 +24,8 @@ " name = f't_{i}_{j}',\n", " stoic = 1.0\n", " )\n", - " for i in range(0, 10) \n", - " for j in range(0, 10)}\n", + " for i in range(0, 20) \n", + " for j in range(0, 20)}\n", "\n", "for (i, j) in []:\n", " tiles[f't_{i}_{j}'].stoic = 5" @@ -66,16 +66,16 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "FFSResult(6.7252e-11 M/s, [0.03183699458771092, 0.04113533525298231, 0.16474464579901152, 0.3215434083601286, 0.22271714922049, 0.352112676056338, 0.25316455696202533, 0.4166666666666667, 0.4366812227074236, 0.425531914893617, 0.5235602094240838, 0.5952380952380952, 0.5714285714285714, 0.7633587786259542, 0.6802721088435374, 0.6622516556291391, 0.5988023952095808, 0.6622516556291391, 0.6896551724137931, 0.819672131147541, 0.7751937984496124, 0.7407407407407407, 0.8264462809917356, 0.8, 0.8771929824561403, 0.8620689655172413, 0.9009009009009009, 0.9174311926605505, 0.9174311926605505, 0.9090909090909091, 0.9523809523809523, 0.9345794392523364, 0.9615384615384616, 0.9523809523809523, 0.9803921568627451, 0.9345794392523364, 0.9523809523809523, 0.970873786407767, 0.9803921568627451, 0.9615384615384616, 0.9803921568627451, 1.0, 1.0, 1.0, 0.9900990099009901, 0.9900990099009901])" + "FFSResult(5.4283e-10 M/s, [0.029120559114735003, 0.04484304932735426, 0.10845986984815618, 0.2403846153846154, 0.23201856148491878, 0.390625, 0.23809523809523808, 0.47619047619047616, 0.5586592178770949, 0.4219409282700422, 0.6369426751592356, 0.6410256410256411, 0.5434782608695652, 0.6134969325153374, 0.7518796992481203, 0.6711409395973155, 0.6944444444444444, 0.7575757575757576, 0.7633587786259542, 0.8403361344537815, 0.78125, 0.8, 0.819672131147541, 0.8849557522123894, 0.8771929824561403, 0.8620689655172413, 0.9523809523809523, 0.9803921568627451, 0.8620689655172413, 0.9615384615384616, 0.9615384615384616, 0.9174311926605505, 0.9523809523809523, 0.9803921568627451, 1.0, 0.9803921568627451, 0.9900990099009901, 0.9523809523809523, 0.9803921568627451, 0.9803921568627451, 0.9803921568627451, 1.0, 1.0, 1.0, 0.9615384615384616, 0.9900990099009901, 1.0, 1.0])" ] }, - "execution_count": 13, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -86,7 +86,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -95,13 +95,13 @@ "Text(0, 0.5, 'forward probability')" ] }, - "execution_count": 12, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -118,7 +118,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -127,13 +127,13 @@ "Text(0, 0.5, 'finish vs melt probability')" ] }, - "execution_count": 7, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -153,7 +153,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -162,7 +162,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -177,7 +177,7 @@ { "data": { "text/plain": [ - "FFSResult(6.7252e-11 M/s, [0.03183699458771092, 0.04113533525298231, 0.16474464579901152, 0.3215434083601286, 0.22271714922049, 0.352112676056338, 0.25316455696202533, 0.4166666666666667, 0.4366812227074236, 0.425531914893617, 0.5235602094240838, 0.5952380952380952, 0.5714285714285714, 0.7633587786259542, 0.6802721088435374, 0.6622516556291391, 0.5988023952095808, 0.6622516556291391, 0.6896551724137931, 0.819672131147541, 0.7751937984496124, 0.7407407407407407, 0.8264462809917356, 0.8, 0.8771929824561403, 0.8620689655172413, 0.9009009009009009, 0.9174311926605505, 0.9174311926605505, 0.9090909090909091, 0.9523809523809523, 0.9345794392523364, 0.9615384615384616, 0.9523809523809523, 0.9803921568627451, 0.9345794392523364, 0.9523809523809523, 0.970873786407767, 0.9803921568627451, 0.9615384615384616, 0.9803921568627451, 1.0, 1.0, 1.0, 0.9900990099009901, 0.9900990099009901])" + "FFSResult(5.4283e-10 M/s, [0.029120559114735003, 0.04484304932735426, 0.10845986984815618, 0.2403846153846154, 0.23201856148491878, 0.390625, 0.23809523809523808, 0.47619047619047616, 0.5586592178770949, 0.4219409282700422, 0.6369426751592356, 0.6410256410256411, 0.5434782608695652, 0.6134969325153374, 0.7518796992481203, 0.6711409395973155, 0.6944444444444444, 0.7575757575757576, 0.7633587786259542, 0.8403361344537815, 0.78125, 0.8, 0.819672131147541, 0.8849557522123894, 0.8771929824561403, 0.8620689655172413, 0.9523809523809523, 0.9803921568627451, 0.8620689655172413, 0.9615384615384616, 0.9615384615384616, 0.9174311926605505, 0.9523809523809523, 0.9803921568627451, 1.0, 0.9803921568627451, 0.9900990099009901, 0.9523809523809523, 0.9803921568627451, 0.9803921568627451, 0.9803921568627451, 1.0, 1.0, 1.0, 0.9615384615384616, 0.9900990099009901, 1.0, 1.0])" ] }, "execution_count": 11, @@ -191,7 +191,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -204,30 +204,30 @@ " white-space: pre-wrap;\n", "}\n", "\n", - "shape: (4_700, 12)
surface_indexconfig_indexsizetimeprevious_configcanvasmin_imin_jmax_imax_jshape_ishape_j
u64u64u32f64u64list[u32]u64u64u64u64f64f64
0020.042[42, 52]323233322.01.0
0120.020[20, 30]323233322.01.0
0220.052[52, 62]323233322.01.0
0320.028[27, 28]323232331.02.0
0420.034[33, 34]323232331.02.0
4695480.43359764[0, 0, … 0]302837378.010.0
4696480.32736220[1, 2, … 0]292835357.08.0
4697480.67740479[0, 0, … 0]303037378.08.0
4698482.63333640[0, 3, … 0]292936368.08.0
4699481.15394390[0, 0, … 0]292937359.07.0
" + "shape: (4_900, 10)
surface_indexconfig_indexsizetimeprevious_configcanvasmin_imin_jshape_ishape_j
u64u64u32f64u64list[u32]u64u64u64u64
0020.0257[257, 258]323212
0120.0206[206, 226]323221
0220.0234[214, 234]323221
0320.0314[314, 315]323212
0420.072[72, 92]323221
4895501.16499976[0, 129, … 0]272888
4896500.68799869[0, 209, … 335]312878
4897501.32311257[0, 22, … 0]2927107
4898501.1370917[0, 0, … 0]272789
4899500.64936669[209, 210, … 0]312987
" ], "text/plain": [ - "shape: (4_700, 12)\n", + "shape: (4_900, 10)\n", "┌───────────────┬──────────────┬──────┬──────────┬───┬───────┬───────┬─────────┬─────────┐\n", - "│ surface_index ┆ config_index ┆ size ┆ time ┆ … ┆ max_i ┆ max_j ┆ shape_i ┆ shape_j │\n", + "│ surface_index ┆ config_index ┆ size ┆ time ┆ … ┆ min_i ┆ min_j ┆ shape_i ┆ shape_j │\n", "│ --- ┆ --- ┆ --- ┆ --- ┆ ┆ --- ┆ --- ┆ --- ┆ --- │\n", - "│ u64 ┆ u64 ┆ u32 ┆ f64 ┆ ┆ u64 ┆ u64 ┆ f64 ┆ f64 │\n", + "│ u64 ┆ u64 ┆ u32 ┆ f64 ┆ ┆ u64 ┆ u64 ┆ u64 ┆ u64 │\n", "╞═══════════════╪══════════════╪══════╪══════════╪═══╪═══════╪═══════╪═════════╪═════════╡\n", - "│ 0 ┆ 0 ┆ 2 ┆ 0.0 ┆ … ┆ 33 ┆ 32 ┆ 2.0 ┆ 1.0 │\n", - "│ 0 ┆ 1 ┆ 2 ┆ 0.0 ┆ … ┆ 33 ┆ 32 ┆ 2.0 ┆ 1.0 │\n", - "│ 0 ┆ 2 ┆ 2 ┆ 0.0 ┆ … ┆ 33 ┆ 32 ┆ 2.0 ┆ 1.0 │\n", - "│ 0 ┆ 3 ┆ 2 ┆ 0.0 ┆ … ┆ 32 ┆ 33 ┆ 1.0 ┆ 2.0 │\n", - "│ 0 ┆ 4 ┆ 2 ┆ 0.0 ┆ … ┆ 32 ┆ 33 ┆ 1.0 ┆ 2.0 │\n", + "│ 0 ┆ 0 ┆ 2 ┆ 0.0 ┆ … ┆ 32 ┆ 32 ┆ 1 ┆ 2 │\n", + "│ 0 ┆ 1 ┆ 2 ┆ 0.0 ┆ … ┆ 32 ┆ 32 ┆ 2 ┆ 1 │\n", + "│ 0 ┆ 2 ┆ 2 ┆ 0.0 ┆ … ┆ 32 ┆ 32 ┆ 2 ┆ 1 │\n", + "│ 0 ┆ 3 ┆ 2 ┆ 0.0 ┆ … ┆ 32 ┆ 32 ┆ 1 ┆ 2 │\n", + "│ 0 ┆ 4 ┆ 2 ┆ 0.0 ┆ … ┆ 32 ┆ 32 ┆ 2 ┆ 1 │\n", "│ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … ┆ … │\n", - "│ 46 ┆ 95 ┆ 48 ┆ 0.433597 ┆ … ┆ 37 ┆ 37 ┆ 8.0 ┆ 10.0 │\n", - "│ 46 ┆ 96 ┆ 48 ┆ 0.327362 ┆ … ┆ 35 ┆ 35 ┆ 7.0 ┆ 8.0 │\n", - "│ 46 ┆ 97 ┆ 48 ┆ 0.677404 ┆ … ┆ 37 ┆ 37 ┆ 8.0 ┆ 8.0 │\n", - "│ 46 ┆ 98 ┆ 48 ┆ 2.633336 ┆ … ┆ 36 ┆ 36 ┆ 8.0 ┆ 8.0 │\n", - "│ 46 ┆ 99 ┆ 48 ┆ 1.153943 ┆ … ┆ 37 ┆ 35 ┆ 9.0 ┆ 7.0 │\n", + "│ 48 ┆ 95 ┆ 50 ┆ 1.164999 ┆ … ┆ 27 ┆ 28 ┆ 8 ┆ 8 │\n", + "│ 48 ┆ 96 ┆ 50 ┆ 0.687998 ┆ … ┆ 31 ┆ 28 ┆ 7 ┆ 8 │\n", + "│ 48 ┆ 97 ┆ 50 ┆ 1.323112 ┆ … ┆ 29 ┆ 27 ┆ 10 ┆ 7 │\n", + "│ 48 ┆ 98 ┆ 50 ┆ 1.137091 ┆ … ┆ 27 ┆ 27 ┆ 8 ┆ 9 │\n", + "│ 48 ┆ 99 ┆ 50 ┆ 0.649366 ┆ … ┆ 31 ┆ 29 ┆ 8 ┆ 7 │\n", "└───────────────┴──────────────┴──────┴──────────┴───┴───────┴───────┴─────────┴─────────┘" ] }, - "execution_count": 10, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -238,64 +238,64 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ,\n", - " ]" + "[FFSLevelRef(n_configs=100, n_trials=100, target_size=2, p_r=1, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=3434, target_size=3, p_r=0.029120559114735003, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=2230, target_size=4, p_r=0.04484304932735426, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=922, target_size=5, p_r=0.10845986984815618, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=416, target_size=6, p_r=0.2403846153846154, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=431, target_size=7, p_r=0.23201856148491878, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=256, target_size=8, p_r=0.390625, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=420, target_size=9, p_r=0.23809523809523808, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=210, target_size=10, p_r=0.47619047619047616, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=179, target_size=11, p_r=0.5586592178770949, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=237, target_size=12, p_r=0.4219409282700422, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=157, target_size=13, p_r=0.6369426751592356, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=156, target_size=14, p_r=0.6410256410256411, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=184, target_size=15, p_r=0.5434782608695652, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=163, target_size=16, p_r=0.6134969325153374, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=133, target_size=17, p_r=0.7518796992481203, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=149, target_size=18, p_r=0.6711409395973155, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=144, target_size=19, p_r=0.6944444444444444, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=132, target_size=20, p_r=0.7575757575757576, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=131, target_size=21, p_r=0.7633587786259542, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=119, target_size=22, p_r=0.8403361344537815, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=128, target_size=23, p_r=0.78125, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=125, target_size=24, p_r=0.8, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=122, target_size=25, p_r=0.819672131147541, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=113, target_size=26, p_r=0.8849557522123894, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=114, target_size=27, p_r=0.8771929824561403, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=116, target_size=28, p_r=0.8620689655172413, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=105, target_size=29, p_r=0.9523809523809523, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=102, target_size=30, p_r=0.9803921568627451, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=116, target_size=31, p_r=0.8620689655172413, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=104, target_size=32, p_r=0.9615384615384616, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=104, target_size=33, p_r=0.9615384615384616, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=109, target_size=34, p_r=0.9174311926605505, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=105, target_size=35, p_r=0.9523809523809523, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=102, target_size=36, p_r=0.9803921568627451, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=100, target_size=37, p_r=1, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=102, target_size=38, p_r=0.9803921568627451, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=101, target_size=39, p_r=0.9900990099009901, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=105, target_size=40, p_r=0.9523809523809523, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=102, target_size=41, p_r=0.9803921568627451, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=102, target_size=42, p_r=0.9803921568627451, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=102, target_size=43, p_r=0.9803921568627451, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=100, target_size=44, p_r=1, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=100, target_size=45, p_r=1, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=100, target_size=46, p_r=1, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=104, target_size=47, p_r=0.9615384615384616, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=101, target_size=48, p_r=0.9900990099009901, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=100, target_size=49, p_r=1, has_stored_states=true),\n", + " FFSLevelRef(n_configs=100, n_trials=100, target_size=50, p_r=1, has_stored_states=true)]" ] }, - "execution_count": 22, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -307,55 +307,7 @@ }, { "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "['__class__',\n", - " '__delattr__',\n", - " '__dir__',\n", - " '__doc__',\n", - " '__eq__',\n", - " '__format__',\n", - " '__ge__',\n", - " '__getattribute__',\n", - " '__getstate__',\n", - " '__gt__',\n", - " '__hash__',\n", - " '__init__',\n", - " '__init_subclass__',\n", - " '__le__',\n", - " '__lt__',\n", - " '__module__',\n", - " '__ne__',\n", - " '__new__',\n", - " '__reduce__',\n", - " '__reduce_ex__',\n", - " '__repr__',\n", - " '__setattr__',\n", - " '__sizeof__',\n", - " '__str__',\n", - " '__subclasshook__',\n", - " 'configs',\n", - " 'get_state',\n", - " 'level',\n", - " 'previous_indices']" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dir(surfaces[10])" - ] - }, - { - "cell_type": "code", - "execution_count": 26, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -1063,7 +1015,7 @@ " [0, 0, 0, ..., 0, 0, 0]], dtype=uint32)]" ] }, - "execution_count": 26, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -1074,43 +1026,43 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "FFSStateRef(n_tiles=12, time=0.07322080093495215 s, events=509, size=(64, 64), total_rate=12867.693174277902)" + "FFSStateRef(n_tiles=12, time=0.048159772254851636 s, events=122, size=(64, 64), total_rate=4851.620447968194)" ] }, - "execution_count": 34, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "state = surfaces[10].get_state(10)\n", + "state = surfaces[10].states[10]\n", "state" ] }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 35, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -1122,13 +1074,6 @@ "source": [ "plt.imshow(state.canvas_view)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { @@ -1147,7 +1092,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.2" + "version": "3.12.4" } }, "nbformat": 4,