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June 17, 2025 08:14
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 136, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools merge -o ../Data/costantinoKoshland2020/A364_rep1.sacCer3.pairs.gz ../Data/costantinoKoshland2020/A364_rep1.sacCer3.nodups.pairs.gz ../Data/costantinoKoshland2020/A364_rep1.sacCer3.dups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 185, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools merge -o ../Data/costantinoKoshland2020/SRR400659.sacCer3.pairs.gz ../Data/costantinoKoshland2020/SRR400659.sacCer3.nodups.pairs.gz ../Data/costantinoKoshland2020/SRR400659.sacCer3.dups.pairs.gz && \\\n", | |
| " pairtools merge -o ../Data/costantinoKoshland2020/SRR4000669.sacCer3.pairs.gz ../Data/costantinoKoshland2020/SRR4000669.sacCer3.nodups.pairs.gz ../Data/costantinoKoshland2020/SRR4000669.sacCer3.dups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 137, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "^C\n", | |
| "\n", | |
| "Aborted!\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "! pairtools dedup --max-mismatch 10 --keep-parent-id -o ../Data/costantinoKoshland2020/A364_rep1.sacCer3.nodups_dist10.pairs.gz \\\n", | |
| " --output-dups ../Data/costantinoKoshland2020/A364_rep1.sacCer3.dups_dist10.pairs.gz \\\n", | |
| " --output-stats ../Data/costantinoKoshland2020/A364_rep1.sacCer3.dist10.dedup.stats \\\n", | |
| " ../Data/costantinoKoshland2020/A364_rep1.sacCer3.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools merge -o ../Data/raoAiden2017/Synchronized_R1.hg38.pairs.gz ../Data/raoAiden2017/Synchronized_R1.hg38.nodups.pairs.gz ../Data/raoAiden2017/Synchronized_R1.hg38.dups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools dedup --max-mismatch 10 --keep-parent-id -o ../Data/raoAiden2017/Synchronized_R1.hg38.nodups_dist10.pairs.gz \\\n", | |
| " --output-dups ../Data/raoAiden2017/Synchronized_R1.hg38.dups_dist10.pairs.gz \\\n", | |
| " --output-stats ../Data/raoAiden2017/Synchronized_R1.hg38.dist10.dedup.stats \\\n", | |
| " ../Data/raoAiden2017/Synchronized_R1.hg38.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools merge -o ../Data/noraBruneau2017/mAux-R2-L1.mm10.pairs.gz ../Data/noraBruneau2017/mAux-R2-L1.mm10.nodups.pairs.gz ../Data/noraBruneau2017/mAux-R2-L1.mm10.dups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools merge -o ../Data/noraBruneau2017/mAux-R2-L2.mm10.pairs.gz ../Data/noraBruneau2017/mAux-R2-L2.mm10.nodups.pairs.gz ../Data/noraBruneau2017/mAux-R2-L2.mm10.dups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 349, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools merge -o ../Data/schwarzerSpitz2017/HiC-TCC_WT_Rep1.mm10.pairs.gz ../Data/schwarzerSpitz2017/HiC-TCC_WT_Rep1.mm10.dups.pairs.gz ../Data/schwarzerSpitz2017/HiC-TCC_WT_Rep1.mm10.nodups.pairs.gz\n", | |
| "! pairtools merge -o ../Data/schwarzerSpitz2017/HiC-TCC_WT_Rep2.mm10.pairs.gz ../Data/schwarzerSpitz2017/HiC-TCC_WT_Rep1.mm10.dups.pairs.gz ../Data/schwarzerSpitz2017/HiC-TCC_WT_Rep2.mm10.nodups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 432, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# ! pairtools merge -o ../Data/aidenDekker2009/GM_HindIII_S1R1.pairs.gz ../Data/aidenDekker2009/GM_HindIII_S1R1.nodups.pairs.gz ../Data/aidenDekker2009/GM_HindIII_S1R1.dups.pairs.gz\n", | |
| "! pairtools merge -o ../Data/aidenDekker2009/GM_NcoI_R1.pairs.gz ../Data/aidenDekker2009/GM_NcoI_R1.nodups.pairs.gz ../Data/aidenDekker2009/GM_NcoI_R1.dups.pairs.gz\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! mkdir -p ../Data/RN2\n", | |
| "! pairtools merge -o ../Data/RN2/RN2_test_1ul_plus.pairs.gz ../../AML_microC/results/pairs_library/RN2_test_1ul_plus.mm10.nodups.pairs.gz ../../AML_microC/results/pairs_library/RN2_test_1ul_plus.mm10.dups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 29, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools merge -o ../Data/abedWu2019/SRR80558291.dm6.pairs.gz ../Data/abedWu2019/SRR80558291.dm6.nodups.pairs.gz ../Data/abedWu2019/SRR80558291.dm6.dups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 49, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools merge -o ../Data/harewoodFraser2017/SRR3586206.mm10.pairs.gz ../Data/harewoodFraser2017/SRR3586206.mm10.nodups.pairs.gz ../Data/harewoodFraser2017/SRR3586206.mm10.dups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 86, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools merge -o ../Data/ghurieKoren2019/SRR6675327.hg19.pairs.gz ../Data/ghurieKoren2019/SRR6675327.hg19.nodups.pairs.gz ../Data/ghurieKoren2019/SRR6675327.hg19.dups.pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "import numpy as np\n", | |
| "import pairtools\n", | |
| "from pairtools.lib import headerops, fileio\n", | |
| "import pandas as pd\n", | |
| "from scipy.spatial import cKDTree\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "from matplotlib.colors import LogNorm\n", | |
| "import seaborn as sns" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def count_dups(df, rs, cols=['pos1', 'pos2'], p=1):\n", | |
| " tree = cKDTree(df[cols])\n", | |
| " ndups = tree.count_neighbors(tree, rs, p=1)\n", | |
| " return ndups" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "ax.bar(radii, counts_costa_normed, width=1)\n", | |
| "ax.set_yscale('log')\n", | |
| "ax.set_xlabel('Sum of distances on two sides (bp)')\n", | |
| "ax.set_ylabel('Number of duplicates')\n", | |
| "ax.set_xticks(np.arange(0, 20, 2));" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "pairs_stream = fileio.auto_open('../Data/raoAiden2017/Synchronized_R1.hg38.pairs.gz', 'r')\n", | |
| "header, pairs_stream = headerops.get_header(pairs_stream)\n", | |
| "columns = headerops.get_colnames(header)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "df_rao = pd.read_table(pairs_stream, comment=\"#\", header=None, names=columns)\n", | |
| "grouped_rao = df_rao.groupby(['chrom1', 'chrom2', 'strand1', 'strand2'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "radii = np.arange(20)\n", | |
| "counts_rao = grouped_rao.apply(count_dups, rs=radii, include_groups=False).sum()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_rao_normed = np.array([counts_rao[0]]+list(np.diff(counts_rao)))/(radii+1)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "ax.bar(radii, counts_rao_normed, width=1)\n", | |
| "ax.set_yscale('log')\n", | |
| "ax.set_xlabel('Sum of distances on two sides (bp)')\n", | |
| "ax.set_ylabel('Number of duplicates')\n", | |
| "ax.set_xticks(np.arange(0, 20, 2));" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 63, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "pairs_stream = fileio.auto_open('../Data/noraBruneau2017/mAux-R2-L1.mm10.pairs.gz', 'r')\n", | |
| "header, pairs_stream = headerops.get_header(pairs_stream)\n", | |
| "columns = headerops.get_colnames(header)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 64, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "df_nora1 = pd.read_table(pairs_stream, comment=\"#\", header=None, names=columns)\n", | |
| "# grouped_nora1 = df_nora1.groupby(['chrom1', 'chrom2', 'strand1', 'strand2'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 65, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "pairs_stream = fileio.auto_open('../Data/noraBruneau2017/mAux-R2-L1.mm10.id_pairs.gz', 'w')\n", | |
| "pairs_stream.write('\\n'.join(header))\n", | |
| "pairs_stream.write('\\n')\n", | |
| "df_nora1.drop(columns='readID').reset_index().to_csv(pairs_stream, sep='\\t', index=False, header=False)\n", | |
| "pairs_stream.close()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "! pairtools dedup --max-mismatch 20 --method max --keep-parent-id --mark-dups \\\n", | |
| " --output-dups ../Data/noraBruneau2017/mAux-R2-L1.mm10.nodups_20.id_pairs.gz \\\n", | |
| " --output-stats ../Data/noraBruneau2017/mAux-R2-L1.mm10.dedup_20.stats \\\n", | |
| " ../Data/noraBruneau2017/mAux-R2-L1.mm10.id_pairs.gz \\\n", | |
| " -o ../Data/noraBruneau2017/mAux-R2-L1.mm10.nodups_20.id_pairs.gz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def read_pairs(pairs_file):\n", | |
| " pairs_stream = fileio.auto_open(pairs_file, 'r')\n", | |
| " header, pairs_stream = headerops.get_header(pairs_stream)\n", | |
| " columns = headerops.get_colnames(header)\n", | |
| " df = pd.read_table(pairs_stream, comment=\"#\", header=None, names=columns)\n", | |
| " return df\n", | |
| "\n", | |
| "def dup_dist(df, rs, cols=['pos1', 'pos2'], p=1):\n", | |
| " tree = cKDTree(df[cols].to_numpy())\n", | |
| " pairs = tree.query_pairs(rs, p=p, output_type='ndarray')\n", | |
| " df['dist1'] = pd.NA\n", | |
| " df['dist2'] = pd.NA\n", | |
| " ids1 = df['readID'].to_numpy()[pairs[:, 0]]\n", | |
| " ids2 = df['readID'].to_numpy()[pairs[:, 1]]\n", | |
| " dists1 = np.abs(df[cols[0]].to_numpy()[pairs[:, 1]]-df[cols[0]].to_numpy()[pairs[:, 0]].astype(int))\n", | |
| " dists2 = np.abs(df[cols[1]].to_numpy()[pairs[:, 1]]-df[cols[1]].to_numpy()[pairs[:, 0]].astype(int))\n", | |
| " return pd.DataFrame({'id1':ids1, 'id2':ids2, 'dist1':dists1, 'dist2':dists2}).sort_values(by=['id1', 'id2']).reset_index(drop=True)\n", | |
| "\n", | |
| "def calculate_dup_dists(df, cols=['pos1', 'pos2'], rs=20):\n", | |
| " df = df.drop(columns='readID').reset_index().rename(columns={'index': 'readID'})\n", | |
| " dup_dists = df.groupby(['chrom1', 'chrom2', 'strand1', 'strand2']).apply(dup_dist, rs=rs, p=np.inf, cols=cols, include_groups=False).sort_values(by=['id1', 'id2']).reset_index(drop=True)\n", | |
| " return dup_dists" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "costa_df = read_pairs('../Data/costantinoKoshland2020/A364_rep1.sacCer3.pairs.gz')\n", | |
| "costa_dup_dists = calculate_dup_dists(costa_df)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_costa = costa_dup_dists[['dist1', 'dist2']].value_counts().sort_index()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_2d_costa = counts_costa.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_costa,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "costa_pos3_df = read_pairs('../Data/costantinoKoshland2020/SRR4000669.sacCer3.pairs.gz')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "costa_pos5_dup_dists = calculate_dup_dists(costa_pos3_df, cols=['pos51', 'pos52'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_pos5_costa = costa_pos5_dup_dists[['dist1', 'dist2']].value_counts().sort_index()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 20, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_2d_pos5_costa = counts_pos5_costa.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 21, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_pos5_costa,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "costa_pos3_dup_dists = calculate_dup_dists(costa_pos3_df, cols=['pos31', 'pos32'])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_pos3_costa = costa_pos3_dup_dists[['dist1', 'dist2']].value_counts().sort_index()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_2d_pos3_costa = counts_pos3_costa.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_pos3_costa,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<style scoped>\n", | |
| " .dataframe tbody tr th:only-of-type {\n", | |
| " vertical-align: middle;\n", | |
| " }\n", | |
| "\n", | |
| " .dataframe tbody tr th {\n", | |
| " vertical-align: top;\n", | |
| " }\n", | |
| "\n", | |
| " .dataframe thead th {\n", | |
| " text-align: right;\n", | |
| " }\n", | |
| "</style>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th>dist2</th>\n", | |
| " <th>0</th>\n", | |
| " <th>1</th>\n", | |
| " <th>2</th>\n", | |
| " <th>3</th>\n", | |
| " <th>4</th>\n", | |
| " <th>5</th>\n", | |
| " <th>6</th>\n", | |
| " <th>7</th>\n", | |
| " <th>8</th>\n", | |
| " <th>9</th>\n", | |
| " <th>...</th>\n", | |
| " <th>11</th>\n", | |
| " <th>12</th>\n", | |
| " <th>13</th>\n", | |
| " <th>14</th>\n", | |
| " <th>15</th>\n", | |
| " <th>16</th>\n", | |
| " <th>17</th>\n", | |
| " <th>18</th>\n", | |
| " <th>19</th>\n", | |
| " <th>20</th>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>dist1</th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " <th></th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>0</th>\n", | |
| " <td>5457303</td>\n", | |
| " <td>612584</td>\n", | |
| " <td>338507</td>\n", | |
| " <td>405882</td>\n", | |
| " <td>397016</td>\n", | |
| " <td>320998</td>\n", | |
| " <td>307573</td>\n", | |
| " <td>305187</td>\n", | |
| " <td>304168</td>\n", | |
| " <td>299114</td>\n", | |
| " <td>...</td>\n", | |
| " <td>308498</td>\n", | |
| " <td>298908</td>\n", | |
| " <td>305382</td>\n", | |
| " <td>290237</td>\n", | |
| " <td>266109</td>\n", | |
| " <td>263203</td>\n", | |
| " <td>282275</td>\n", | |
| " <td>332818</td>\n", | |
| " <td>324643</td>\n", | |
| " <td>314047</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1</th>\n", | |
| " <td>486970</td>\n", | |
| " <td>331167</td>\n", | |
| " <td>186500</td>\n", | |
| " <td>218161</td>\n", | |
| " <td>218113</td>\n", | |
| " <td>195246</td>\n", | |
| " <td>187547</td>\n", | |
| " <td>179656</td>\n", | |
| " <td>180952</td>\n", | |
| " <td>185586</td>\n", | |
| " <td>...</td>\n", | |
| " <td>188175</td>\n", | |
| " <td>179787</td>\n", | |
| " <td>183382</td>\n", | |
| " <td>177249</td>\n", | |
| " <td>162280</td>\n", | |
| " <td>165882</td>\n", | |
| " <td>169046</td>\n", | |
| " <td>182202</td>\n", | |
| " <td>174268</td>\n", | |
| " <td>184291</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>2</th>\n", | |
| " <td>333098</td>\n", | |
| " <td>224489</td>\n", | |
| " <td>124007</td>\n", | |
| " <td>152081</td>\n", | |
| " <td>155047</td>\n", | |
| " <td>137367</td>\n", | |
| " <td>127274</td>\n", | |
| " <td>124038</td>\n", | |
| " <td>124279</td>\n", | |
| " <td>127289</td>\n", | |
| " <td>...</td>\n", | |
| " <td>123284</td>\n", | |
| " <td>120842</td>\n", | |
| " <td>125691</td>\n", | |
| " <td>120550</td>\n", | |
| " <td>107013</td>\n", | |
| " <td>114532</td>\n", | |
| " <td>111986</td>\n", | |
| " <td>122774</td>\n", | |
| " <td>120711</td>\n", | |
| " <td>134320</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>3</th>\n", | |
| " <td>367551</td>\n", | |
| " <td>250934</td>\n", | |
| " <td>141367</td>\n", | |
| " <td>168680</td>\n", | |
| " <td>168201</td>\n", | |
| " <td>142969</td>\n", | |
| " <td>139492</td>\n", | |
| " <td>134670</td>\n", | |
| " <td>135744</td>\n", | |
| " <td>136383</td>\n", | |
| " <td>...</td>\n", | |
| " <td>141556</td>\n", | |
| " <td>138493</td>\n", | |
| " <td>140753</td>\n", | |
| " <td>131598</td>\n", | |
| " <td>121780</td>\n", | |
| " <td>128565</td>\n", | |
| " <td>129992</td>\n", | |
| " <td>139955</td>\n", | |
| " <td>135856</td>\n", | |
| " <td>145846</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>4</th>\n", | |
| " <td>335165</td>\n", | |
| " <td>232317</td>\n", | |
| " <td>130566</td>\n", | |
| " <td>154739</td>\n", | |
| " <td>153705</td>\n", | |
| " <td>132262</td>\n", | |
| " <td>129074</td>\n", | |
| " <td>125440</td>\n", | |
| " <td>124619</td>\n", | |
| " <td>124838</td>\n", | |
| " <td>...</td>\n", | |
| " <td>126829</td>\n", | |
| " <td>126738</td>\n", | |
| " <td>129258</td>\n", | |
| " <td>123480</td>\n", | |
| " <td>112797</td>\n", | |
| " <td>115894</td>\n", | |
| " <td>120887</td>\n", | |
| " <td>131013</td>\n", | |
| " <td>124734</td>\n", | |
| " <td>131685</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>5</th>\n", | |
| " <td>353935</td>\n", | |
| " <td>259005</td>\n", | |
| " <td>140183</td>\n", | |
| " <td>173395</td>\n", | |
| " <td>176318</td>\n", | |
| " <td>145569</td>\n", | |
| " <td>132039</td>\n", | |
| " <td>133460</td>\n", | |
| " <td>128563</td>\n", | |
| " <td>130577</td>\n", | |
| " <td>...</td>\n", | |
| " <td>124402</td>\n", | |
| " <td>124121</td>\n", | |
| " <td>128717</td>\n", | |
| " <td>131971</td>\n", | |
| " <td>118673</td>\n", | |
| " <td>116313</td>\n", | |
| " <td>122854</td>\n", | |
| " <td>142117</td>\n", | |
| " <td>137797</td>\n", | |
| " <td>139226</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>6</th>\n", | |
| " <td>324198</td>\n", | |
| " <td>221879</td>\n", | |
| " <td>118778</td>\n", | |
| " <td>149179</td>\n", | |
| " <td>150432</td>\n", | |
| " <td>130115</td>\n", | |
| " <td>122158</td>\n", | |
| " <td>119764</td>\n", | |
| " <td>121267</td>\n", | |
| " <td>122688</td>\n", | |
| " <td>...</td>\n", | |
| " <td>123503</td>\n", | |
| " <td>118199</td>\n", | |
| " <td>121361</td>\n", | |
| " <td>117453</td>\n", | |
| " <td>105518</td>\n", | |
| " <td>109696</td>\n", | |
| " <td>109708</td>\n", | |
| " <td>119931</td>\n", | |
| " <td>114661</td>\n", | |
| " <td>129241</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>7</th>\n", | |
| " <td>371000</td>\n", | |
| " <td>277813</td>\n", | |
| " <td>152595</td>\n", | |
| " <td>170469</td>\n", | |
| " <td>173203</td>\n", | |
| " <td>141168</td>\n", | |
| " <td>144837</td>\n", | |
| " <td>141026</td>\n", | |
| " <td>135329</td>\n", | |
| " <td>139670</td>\n", | |
| " <td>...</td>\n", | |
| " <td>151690</td>\n", | |
| " <td>148892</td>\n", | |
| " <td>149388</td>\n", | |
| " <td>138255</td>\n", | |
| " <td>126691</td>\n", | |
| " <td>125345</td>\n", | |
| " <td>132695</td>\n", | |
| " <td>163590</td>\n", | |
| " <td>149781</td>\n", | |
| " <td>150309</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>8</th>\n", | |
| " <td>300420</td>\n", | |
| " <td>211594</td>\n", | |
| " <td>116909</td>\n", | |
| " <td>138791</td>\n", | |
| " <td>140187</td>\n", | |
| " <td>119617</td>\n", | |
| " <td>116602</td>\n", | |
| " <td>115661</td>\n", | |
| " <td>114401</td>\n", | |
| " <td>115437</td>\n", | |
| " <td>...</td>\n", | |
| " <td>119479</td>\n", | |
| " <td>117430</td>\n", | |
| " <td>117595</td>\n", | |
| " <td>112376</td>\n", | |
| " <td>101849</td>\n", | |
| " <td>106331</td>\n", | |
| " <td>110971</td>\n", | |
| " <td>121099</td>\n", | |
| " <td>115640</td>\n", | |
| " <td>120923</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>9</th>\n", | |
| " <td>328361</td>\n", | |
| " <td>227203</td>\n", | |
| " <td>127434</td>\n", | |
| " <td>150068</td>\n", | |
| " <td>147907</td>\n", | |
| " <td>124270</td>\n", | |
| " <td>123210</td>\n", | |
| " <td>123217</td>\n", | |
| " <td>123932</td>\n", | |
| " <td>119494</td>\n", | |
| " <td>...</td>\n", | |
| " <td>135799</td>\n", | |
| " <td>125921</td>\n", | |
| " <td>127216</td>\n", | |
| " <td>118463</td>\n", | |
| " <td>107549</td>\n", | |
| " <td>110877</td>\n", | |
| " <td>116889</td>\n", | |
| " <td>128434</td>\n", | |
| " <td>124553</td>\n", | |
| " <td>129244</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>10</th>\n", | |
| " <td>326052</td>\n", | |
| " <td>239789</td>\n", | |
| " <td>134220</td>\n", | |
| " <td>160303</td>\n", | |
| " <td>156178</td>\n", | |
| " <td>124411</td>\n", | |
| " <td>125466</td>\n", | |
| " <td>126223</td>\n", | |
| " <td>123470</td>\n", | |
| " <td>122022</td>\n", | |
| " <td>...</td>\n", | |
| " <td>133348</td>\n", | |
| " <td>132811</td>\n", | |
| " <td>130478</td>\n", | |
| " <td>122024</td>\n", | |
| " <td>112232</td>\n", | |
| " <td>113686</td>\n", | |
| " <td>121117</td>\n", | |
| " <td>138573</td>\n", | |
| " <td>131540</td>\n", | |
| " <td>129817</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>11</th>\n", | |
| " <td>266394</td>\n", | |
| " <td>191398</td>\n", | |
| " <td>108216</td>\n", | |
| " <td>128984</td>\n", | |
| " <td>125923</td>\n", | |
| " <td>106439</td>\n", | |
| " <td>105143</td>\n", | |
| " <td>105016</td>\n", | |
| " <td>101157</td>\n", | |
| " <td>101360</td>\n", | |
| " <td>...</td>\n", | |
| " <td>105642</td>\n", | |
| " <td>105102</td>\n", | |
| " <td>105836</td>\n", | |
| " <td>101391</td>\n", | |
| " <td>94196</td>\n", | |
| " <td>93429</td>\n", | |
| " <td>97779</td>\n", | |
| " <td>107725</td>\n", | |
| " <td>106022</td>\n", | |
| " <td>104306</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>12</th>\n", | |
| " <td>450626</td>\n", | |
| " <td>328946</td>\n", | |
| " <td>169015</td>\n", | |
| " <td>233356</td>\n", | |
| " <td>225582</td>\n", | |
| " <td>166431</td>\n", | |
| " <td>159752</td>\n", | |
| " <td>163941</td>\n", | |
| " <td>160252</td>\n", | |
| " <td>150353</td>\n", | |
| " <td>...</td>\n", | |
| " <td>164634</td>\n", | |
| " <td>150538</td>\n", | |
| " <td>160176</td>\n", | |
| " <td>153400</td>\n", | |
| " <td>137670</td>\n", | |
| " <td>131179</td>\n", | |
| " <td>151723</td>\n", | |
| " <td>177786</td>\n", | |
| " <td>176360</td>\n", | |
| " <td>169096</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>13</th>\n", | |
| " <td>327830</td>\n", | |
| " <td>254358</td>\n", | |
| " <td>131426</td>\n", | |
| " <td>168657</td>\n", | |
| " <td>166383</td>\n", | |
| " <td>127494</td>\n", | |
| " <td>123928</td>\n", | |
| " <td>125991</td>\n", | |
| " <td>122833</td>\n", | |
| " <td>120146</td>\n", | |
| " <td>...</td>\n", | |
| " <td>120719</td>\n", | |
| " <td>122612</td>\n", | |
| " <td>126240</td>\n", | |
| " <td>122763</td>\n", | |
| " <td>109147</td>\n", | |
| " <td>106393</td>\n", | |
| " <td>118522</td>\n", | |
| " <td>138788</td>\n", | |
| " <td>133349</td>\n", | |
| " <td>127255</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>14</th>\n", | |
| " <td>283839</td>\n", | |
| " <td>210887</td>\n", | |
| " <td>114754</td>\n", | |
| " <td>144227</td>\n", | |
| " <td>139952</td>\n", | |
| " <td>114265</td>\n", | |
| " <td>108505</td>\n", | |
| " <td>108886</td>\n", | |
| " <td>107677</td>\n", | |
| " <td>106357</td>\n", | |
| " <td>...</td>\n", | |
| " <td>105374</td>\n", | |
| " <td>106653</td>\n", | |
| " <td>109606</td>\n", | |
| " <td>105961</td>\n", | |
| " <td>95618</td>\n", | |
| " <td>95492</td>\n", | |
| " <td>102768</td>\n", | |
| " <td>115566</td>\n", | |
| " <td>114017</td>\n", | |
| " <td>110920</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>15</th>\n", | |
| " <td>267887</td>\n", | |
| " <td>195488</td>\n", | |
| " <td>106464</td>\n", | |
| " <td>134831</td>\n", | |
| " <td>130746</td>\n", | |
| " <td>108689</td>\n", | |
| " <td>105684</td>\n", | |
| " <td>106619</td>\n", | |
| " <td>103790</td>\n", | |
| " <td>101727</td>\n", | |
| " <td>...</td>\n", | |
| " <td>105477</td>\n", | |
| " <td>104691</td>\n", | |
| " <td>104555</td>\n", | |
| " <td>102616</td>\n", | |
| " <td>94286</td>\n", | |
| " <td>94833</td>\n", | |
| " <td>99256</td>\n", | |
| " <td>108380</td>\n", | |
| " <td>105318</td>\n", | |
| " <td>103582</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>16</th>\n", | |
| " <td>267244</td>\n", | |
| " <td>185984</td>\n", | |
| " <td>104292</td>\n", | |
| " <td>123851</td>\n", | |
| " <td>118391</td>\n", | |
| " <td>98231</td>\n", | |
| " <td>105166</td>\n", | |
| " <td>103635</td>\n", | |
| " <td>102127</td>\n", | |
| " <td>95749</td>\n", | |
| " <td>...</td>\n", | |
| " <td>117332</td>\n", | |
| " <td>105372</td>\n", | |
| " <td>104258</td>\n", | |
| " <td>98124</td>\n", | |
| " <td>90375</td>\n", | |
| " <td>91052</td>\n", | |
| " <td>100520</td>\n", | |
| " <td>105008</td>\n", | |
| " <td>101855</td>\n", | |
| " <td>101107</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>17</th>\n", | |
| " <td>281651</td>\n", | |
| " <td>208789</td>\n", | |
| " <td>115851</td>\n", | |
| " <td>138293</td>\n", | |
| " <td>137622</td>\n", | |
| " <td>108817</td>\n", | |
| " <td>110901</td>\n", | |
| " <td>110972</td>\n", | |
| " <td>106536</td>\n", | |
| " <td>107580</td>\n", | |
| " <td>...</td>\n", | |
| " <td>117444</td>\n", | |
| " <td>115431</td>\n", | |
| " <td>111994</td>\n", | |
| " <td>108242</td>\n", | |
| " <td>99031</td>\n", | |
| " <td>99816</td>\n", | |
| " <td>107231</td>\n", | |
| " <td>119033</td>\n", | |
| " <td>113213</td>\n", | |
| " <td>111645</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>18</th>\n", | |
| " <td>288513</td>\n", | |
| " <td>222642</td>\n", | |
| " <td>116754</td>\n", | |
| " <td>155329</td>\n", | |
| " <td>150549</td>\n", | |
| " <td>120802</td>\n", | |
| " <td>113644</td>\n", | |
| " <td>116542</td>\n", | |
| " <td>112888</td>\n", | |
| " <td>113313</td>\n", | |
| " <td>...</td>\n", | |
| " <td>109185</td>\n", | |
| " <td>112299</td>\n", | |
| " <td>113377</td>\n", | |
| " <td>111006</td>\n", | |
| " <td>100941</td>\n", | |
| " <td>98501</td>\n", | |
| " <td>107583</td>\n", | |
| " <td>122280</td>\n", | |
| " <td>119090</td>\n", | |
| " <td>113673</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>19</th>\n", | |
| " <td>225661</td>\n", | |
| " <td>162098</td>\n", | |
| " <td>92840</td>\n", | |
| " <td>110811</td>\n", | |
| " <td>107891</td>\n", | |
| " <td>91282</td>\n", | |
| " <td>88324</td>\n", | |
| " <td>88631</td>\n", | |
| " <td>88000</td>\n", | |
| " <td>88002</td>\n", | |
| " <td>...</td>\n", | |
| " <td>90859</td>\n", | |
| " <td>89451</td>\n", | |
| " <td>90329</td>\n", | |
| " <td>84262</td>\n", | |
| " <td>80113</td>\n", | |
| " <td>81515</td>\n", | |
| " <td>86101</td>\n", | |
| " <td>92027</td>\n", | |
| " <td>89886</td>\n", | |
| " <td>88478</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>20</th>\n", | |
| " <td>219910</td>\n", | |
| " <td>161352</td>\n", | |
| " <td>90791</td>\n", | |
| " <td>105074</td>\n", | |
| " <td>106550</td>\n", | |
| " <td>90613</td>\n", | |
| " <td>90036</td>\n", | |
| " <td>88330</td>\n", | |
| " <td>88048</td>\n", | |
| " <td>87208</td>\n", | |
| " <td>...</td>\n", | |
| " <td>89856</td>\n", | |
| " <td>92489</td>\n", | |
| " <td>89963</td>\n", | |
| " <td>88927</td>\n", | |
| " <td>82655</td>\n", | |
| " <td>82503</td>\n", | |
| " <td>86180</td>\n", | |
| " <td>93894</td>\n", | |
| " <td>90704</td>\n", | |
| " <td>89253</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "<p>21 rows × 21 columns</p>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| "dist2 0 1 2 3 4 5 6 7 \\\n", | |
| "dist1 \n", | |
| "0 5457303 612584 338507 405882 397016 320998 307573 305187 \n", | |
| "1 486970 331167 186500 218161 218113 195246 187547 179656 \n", | |
| "2 333098 224489 124007 152081 155047 137367 127274 124038 \n", | |
| "3 367551 250934 141367 168680 168201 142969 139492 134670 \n", | |
| "4 335165 232317 130566 154739 153705 132262 129074 125440 \n", | |
| "5 353935 259005 140183 173395 176318 145569 132039 133460 \n", | |
| "6 324198 221879 118778 149179 150432 130115 122158 119764 \n", | |
| "7 371000 277813 152595 170469 173203 141168 144837 141026 \n", | |
| "8 300420 211594 116909 138791 140187 119617 116602 115661 \n", | |
| "9 328361 227203 127434 150068 147907 124270 123210 123217 \n", | |
| "10 326052 239789 134220 160303 156178 124411 125466 126223 \n", | |
| "11 266394 191398 108216 128984 125923 106439 105143 105016 \n", | |
| "12 450626 328946 169015 233356 225582 166431 159752 163941 \n", | |
| "13 327830 254358 131426 168657 166383 127494 123928 125991 \n", | |
| "14 283839 210887 114754 144227 139952 114265 108505 108886 \n", | |
| "15 267887 195488 106464 134831 130746 108689 105684 106619 \n", | |
| "16 267244 185984 104292 123851 118391 98231 105166 103635 \n", | |
| "17 281651 208789 115851 138293 137622 108817 110901 110972 \n", | |
| "18 288513 222642 116754 155329 150549 120802 113644 116542 \n", | |
| "19 225661 162098 92840 110811 107891 91282 88324 88631 \n", | |
| "20 219910 161352 90791 105074 106550 90613 90036 88330 \n", | |
| "\n", | |
| "dist2 8 9 ... 11 12 13 14 15 16 \\\n", | |
| "dist1 ... \n", | |
| "0 304168 299114 ... 308498 298908 305382 290237 266109 263203 \n", | |
| "1 180952 185586 ... 188175 179787 183382 177249 162280 165882 \n", | |
| "2 124279 127289 ... 123284 120842 125691 120550 107013 114532 \n", | |
| "3 135744 136383 ... 141556 138493 140753 131598 121780 128565 \n", | |
| "4 124619 124838 ... 126829 126738 129258 123480 112797 115894 \n", | |
| "5 128563 130577 ... 124402 124121 128717 131971 118673 116313 \n", | |
| "6 121267 122688 ... 123503 118199 121361 117453 105518 109696 \n", | |
| "7 135329 139670 ... 151690 148892 149388 138255 126691 125345 \n", | |
| "8 114401 115437 ... 119479 117430 117595 112376 101849 106331 \n", | |
| "9 123932 119494 ... 135799 125921 127216 118463 107549 110877 \n", | |
| "10 123470 122022 ... 133348 132811 130478 122024 112232 113686 \n", | |
| "11 101157 101360 ... 105642 105102 105836 101391 94196 93429 \n", | |
| "12 160252 150353 ... 164634 150538 160176 153400 137670 131179 \n", | |
| "13 122833 120146 ... 120719 122612 126240 122763 109147 106393 \n", | |
| "14 107677 106357 ... 105374 106653 109606 105961 95618 95492 \n", | |
| "15 103790 101727 ... 105477 104691 104555 102616 94286 94833 \n", | |
| "16 102127 95749 ... 117332 105372 104258 98124 90375 91052 \n", | |
| "17 106536 107580 ... 117444 115431 111994 108242 99031 99816 \n", | |
| "18 112888 113313 ... 109185 112299 113377 111006 100941 98501 \n", | |
| "19 88000 88002 ... 90859 89451 90329 84262 80113 81515 \n", | |
| "20 88048 87208 ... 89856 92489 89963 88927 82655 82503 \n", | |
| "\n", | |
| "dist2 17 18 19 20 \n", | |
| "dist1 \n", | |
| "0 282275 332818 324643 314047 \n", | |
| "1 169046 182202 174268 184291 \n", | |
| "2 111986 122774 120711 134320 \n", | |
| "3 129992 139955 135856 145846 \n", | |
| "4 120887 131013 124734 131685 \n", | |
| "5 122854 142117 137797 139226 \n", | |
| "6 109708 119931 114661 129241 \n", | |
| "7 132695 163590 149781 150309 \n", | |
| "8 110971 121099 115640 120923 \n", | |
| "9 116889 128434 124553 129244 \n", | |
| "10 121117 138573 131540 129817 \n", | |
| "11 97779 107725 106022 104306 \n", | |
| "12 151723 177786 176360 169096 \n", | |
| "13 118522 138788 133349 127255 \n", | |
| "14 102768 115566 114017 110920 \n", | |
| "15 99256 108380 105318 103582 \n", | |
| "16 100520 105008 101855 101107 \n", | |
| "17 107231 119033 113213 111645 \n", | |
| "18 107583 122280 119090 113673 \n", | |
| "19 86101 92027 89886 88478 \n", | |
| "20 86180 93894 90704 89253 \n", | |
| "\n", | |
| "[21 rows x 21 columns]" | |
| ] | |
| }, | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "counts_2d_pos3_costa" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 28, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<matplotlib.colorbar.Colorbar at 0x7fb8c3eab9d0>" | |
| ] | |
| }, | |
| "execution_count": 28, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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8eTJiY2OxdetWVFdXY9myZTY9H1swUSEiIrfSn2NUTpw4gcTERPPrzvEj6enp2L59OxoaGnDp0iW7ygC3pvkuXLgQDQ0NGD58OKZNm4YvvvgCYWFhXWLQaDTIyclBfHw8PD09zeejo6NRUlLS7eBWW+KYP38+rl+/jrVr16K2thbjx49HYWGh1Tj6SlKsrcbiggwGA/z9/XHt47e5hP5tPOuqBATCJfR7rIdL6Fuvh0vod1/PAFtC33SyXFV5w00jRr28EY2NjQ6bRdP5d6JyYTJ8PT1U1dXU1o77P97v0HjpFraoEBGRW7FnZdme6qD+wUSFiIjcykCYnuxOhKeEOTk5mDJlCnx9fTFixAg8+uijOHfuXI9lDh482GVzJUmScPbsWdHhERERkQsR3qJSVlaGFStWYMqUKejo6MDq1auRnJyM//mf/8HgwYN7LHvu3DmLvr7hw4eLDo+IiNwcW1Rci/BE5b//+78tXr///vsYMWIETp48iYSEhB7LjhgxAnfffbfokIiIiMw4RsW1OPxJNzY2AgACAnqfpTFx4kQEBwcjKSkJBw4c6PFao9EIg8FgcRAREdHA4tDBtIqiICsrCw8++CDGjx/f7XXBwcHYunUrYmJiYDQa8cEHHyApKQkHDx7sthUmJycHr732WpfzLffcD81dPXcx9UaW1E8TNWk9e7/IBp7t6qcf3gyfJCASwGfYNSH1GPxDVNcha8RM5fVqaxZSj+4u9dOlG/1GCYgE8OxoVV2HztQmIBKgQ9TPQZv6nwNF0GdGDhorpB5FwNID0iAx0/Q9BPyekWc8oqp8R3MLgP7ZgZhdP67FoYnKs88+i7/+9a84cuRIj9eNHTsWY8f+8MMfGxuLmpoa/P73v+82UVm1apXFxksGgwGjRon5RU9ERAMXu35ci8Oe9HPPPYdPPvkEBw4cwMiRI+0uP23atB43V/Ly8oKfn5/FQURERAOL8BYVRVHw3HPPoaCgAAcPHkR4eHif6qmoqOh2cyUiIqI+kyT1q/EKWM2XbCM8UVmxYgU++ugj7Nu3D76+vubtn/39/eHjc2tp+1WrVuHKlSvIy8sDAGzYsAH33HMPoqKi0NbWhg8//BC7d+/G7t27RYdHRERuTpIEjFFhotJvhCcqmzdvBgDMmDHD4vz777+PJ598EgBQW1uL6uof9kZpa2vDypUrceXKFfj4+CAqKgqfffYZZs+eLTo8IiJycxyj4loc0vXTm85dFztlZ2cjOztbdChERETk4rjXDxERuRVOT3YtTFSIiMitsOvHtfBJExERkdNiiwoREbkVSaO+60bAwsJkIyYqRETkVjhGxbUwJyQiIiKnxRYVIiJyLxrNrUNtHdQvmKgQEZFbkSRJ9cqyXJm2/zAlJCIiIqfFFhUiInIrXEfFtQy4RKXBayRuevuqqsMbrYKiUU8WMAeuWXu3+kAA1Oh+IqSewdoW1XX4KOrrAICbgwYLqadZ5WcOAG6YvAREAgTp6lTX0aYbJCASwKjxEVJPh0eQ6jo0MAmIBLghi7knH80N1XV4wiggEkDyDlBdR117oKryLZ4G1THYirN+XMuAS1SIiIh6JAkYTMuFVPoNnzQRERE5LbaoEBGRexHQ9QN2/fQbtqgQEZFbkSSNkIOATz/9FGPHjkVERATee+89h7wHW1SIiIjIbh0dHcjKysKBAwfg5+eHSZMmYe7cuQgIUD84+8eYEhIRkXvRSGION/fVV18hKioKISEh8PX1xezZs1FUVCT8fZioEBGRW+lcR0XtYYtDhw4hNTUVer0ekiRh7969DinTF7a8z6ZNmxAeHg5vb2/ExMTg8OHD5q9dvXoVISEh5tcjR47ElStXhMfJRIWIiMhBWlpaMGHCBOTm5jqszNGjR9He3t7l/NmzZ1FX1/26Sr29T35+PjIyMrB69WpUVFQgPj4eKSkpqK6uBgAoitKljCO2FuAYFSIiciv9ueBbSkoKUlJS7KrbnjKyLGPFihWIiIjAzp07odVqAQDnz59HYmIiMjMzkZ2d3af3Wb9+PZ555hksWbIEALBhwwYUFRVh8+bNyMnJQUhIiEULyuXLlzF16lRbb9NmbFEhIiL3Ikm3FmxTddxKVKZMmYJx48Zh48aNd+RWNBoNCgsLUVFRgcWLF0OWZVy6dAkPPfQQ5syZ022S0pu2tjacPHkSycnJFueTk5Nx7NgxAMADDzyAb775BleuXEFTUxMKCwsxc+ZM1fd0O7aoEBER9dHx48fh5+d3R2PQ6/UoLS1FQkIC0tLSUF5ejqSkJGzZsqXPdTY0NMBkMiEw0HJrhMDAQHN3kk6nwzvvvIPExETIsozs7GwMHTpU1b1Yw0SFiIjcykDc6yc0NBR5eXmYPn06Ro8ejW3btgkZL3J7HYqiWJybM2cO5syZo/p9esKuHyIici8ajZjDiVy7dg1Lly5FamoqWltbkZmZqaq+YcOGQavVdhmMW19f36WVxdGc60kTERE5mCRJQg5n0dDQgKSkJERGRmLPnj0oLS3Frl27sHLlyj7X6enpiZiYGBQXF1ucLy4uRlxcnNqQ7cKuHyIiIgdpbm7GxYsXza+rqqpQWVmJgIAAhIaGIjc3FwUFBfj8889tLvNjsixj1qxZCAsLQ35+PnQ6HSIjI1FSUoLExESEhIR027rS2/tkZWVh0aJFmDx5MmJjY7F161ZUV1dj2bJloh6PTZioEBGRe5EEdN3YuNfPiRMnkJiYaH6dlZUFAEhPT8f27dvR0NCAS5cu2VXmxzQaDXJychAfHw9PT0/z+ejoaJSUlPQ4uLW395k/fz6uX7+OtWvXora2FuPHj0dhYSHCwsJsundRJMXaii0uyGAwwN/fH1+dOoO7fH1V1eWNVkFRqedpuqG6jmbt3eoDAdBsuktIPYO1Larr8FHU1wEAJo2YXL1ZVveZA4AbJi8BkQBB2u4XeLKVBDG/FowaHyH1dCgequvQwCQgEuCGLOaefDTqf7Y9YRQQiZjvd127unELLc0G/OyBUDQ2NjpsFk3n34krbz8PPx91P2+GG0aEvPhHh8ZLtwy4FpUOaNGhaNXVoVH/S7Fd8ez9Iht4Qv0vM53UISASwKSI6ZO9KXurrsNbwC95ADAqov6Qqv9R8tCI+UP6T6jfEGywRlAiqPJnsZOIJMMk6NfdTZOYn20RiYookiKrrqNdVve9VlueBq4Bl6gQERH1qHPRNrV1UL9gokJERO5FxO7HTraOykDGlJCIiIicFltUiIjIrUiSBpLKrhu15cl2wp/0mjVruiyKExQU1GOZsrIyxMTEwNvbG6NHj1a1PwEREVGPOrt+1B7ULxzSohIVFYWSkhLz685tp62pqqrC7Nmz8ctf/hIffvghjh49iuXLl2P48OGYN2+eI8IjIiIiF+GQREWn0/XaitJpy5YtCA0NxYYNGwAAkZGROHHiBH7/+98zUSEiIuEkjQaSygXf1JYn2znkSV+4cAF6vR7h4eFYsGABvvvuu26vLS8vR3JyssW5mTNn4sSJE2hvb++2nNFohMFgsDiIiIh6JUliDuoXwhOVqVOnIi8vD0VFRfjP//xP1NXVIS4uDtevX7d6fV1dXZedGAMDA9HR0YGGhoZu3ycnJwf+/v7mY9SoUULvg4iIBiiNJGD3ZCYq/UV4opKSkoJ58+YhOjoaP/vZz/DZZ58BAHbs2NFtmdt3oexc1b+n3SlXrVqFxsZG81FTUyMgeiIiInImDp+ePHjwYERHR+PChQtWvx4UFIS6Osu9Serr66HT6XrcTMnLywteXmL2RiEiIjciouuGXT/9xuGjgYxGI86cOYPg4GCrX4+NjUVxcbHFuf3792Py5Mnw8FC/5w4REdGPdQ6mVXtQ/xD+pFeuXImysjJUVVXhyy+/xOOPPw6DwYD09HQAt7psFi9ebL5+2bJl+Pvf/46srCycOXMGf/7zn7Ft2zasXLlSdGhERETkYoR3/Vy+fBkLFy5EQ0MDhg8fjmnTpuGLL75AWFgYAKC2thbV1dXm68PDw1FYWIjMzExs3LgRer0ef/zjHzk1mYiIHIObEroU4YnKzp07e/z69u3bu5ybPn06Tp06JToUIiKiriQBK8tyjEq/YUpIREREToubEhIRkVvhpoSuZcAlKldbhmCw5KeqjgDvFtVxyIqYD7HOs/vVeW1V0zJCQCRAxSUx08HHh3eorsPoLWZGWHObmHs6e9lbdR2BAbKASIBRdzcJqUcEQ9sgIfU03lT/ffL2MAmIBPj272I+M3H3qv9+y4q633Uilf1V3c/AzdY2QZHYQMSmglzwrd8wJSQiIiKnNeBaVIiIiHrEWT8uhYkKERG5F65M61KYqBARkXvp3FhQbR3UL/ikiYiIyGmxRYWIiNwLx6i4FCYqRETkXjg92aUwJSQiIiKnxRYVIiJyL5IkoOuHLSr9hS0qRETkXjqnJ6s9yCaffvopxo4di4iICLz33nt2l2eLChERETlER0cHsrKycODAAfj5+WHSpEmYO3cuAgICbK6DLSpEROReOtdRUXtQr7766itERUUhJCQEvr6+mD17NoqKiuyqg0+aiIjcSz92/Rw6dAipqanQ6/WQJAl79+61qdymTZsQHh4Ob29vxMTE4PDhwxZfX7NmDSRJsjiCgoLsfRJCYu8p1qtXryIkJMT8euTIkbhy5YpdcTBRISIicpCWlhZMmDABubm5NpfJz89HRkYGVq9ejYqKCsTHxyMlJQXV1dUW10VFRaG2ttZ8nD59uts6jx49ivb29i7nz549i7q6uj7H3lusiqJ0KSPZOb6HiQoREbmXzgXf1B42SElJwbp16zB37lybw1u/fj2eeeYZLFmyBJGRkdiwYQNGjRqFzZs3W1yn0+kQFBRkPoYPH261PlmWsWLFCqSlpcFkMpnPnz9/HomJicjLy+tz7L3FGhISYtGCcvnyZQQHB9v8LAAmKkRE5G4kAeNT/pWoTJkyBePGjcPGjRuFhNbW1oaTJ08iOTnZ4nxycjKOHTtmce7ChQvQ6/UIDw/HggUL8N1331mtU6PRoLCwEBUVFVi8eDFkWcalS5fw0EMPYc6cOcjOznZYrA888AC++eYbXLlyBU1NTSgsLMTMmTPtep8BN+snZPD/4q67ujZv2cNHuqE6jjbFS3UdAOCpGFXXETr4moBIgMH3DRFSz10erarr8JZuCogE8NWJ+T75jfFRXYdWkgVEAuikDtV1DNKo/x4BgNbL1PtFNhjh9b+q62iHh4BIAN8I9d9rAPDXGVTX4SWr/10FACaN+j8FP7tf3XTdluYWvK46ChsJ3D35+PHj8PPzExDULQ0NDTCZTAgMDLQ4HxgYaNFFM3XqVOTl5eHee+/FtWvXsG7dOsTFxeHbb7/F0KFDu9Sr1+tRWlqKhIQEpKWloby8HElJSdiyZYtDY9XpdHjnnXeQmJgIWZaRnZ1tNb6eDLhEhYiIyNXdPo5DURSLcykpKeZ/R0dHIzY2FmPGjMGOHTuQlZVltc7Q0FDk5eVh+vTpGD16NLZt22b3eJG+xDpnzhzMmTOnz/Wz64eIiNxLP45RsdewYcOg1Wq7DHCtr6/v0nLxY4MHD0Z0dDQuXLjQ7TXXrl3D0qVLkZqaitbWVmRmZt6RWO3FRIWIiNyLE69M6+npiZiYGBQXF1ucLy4uRlxcXLfljEYjzpw50+1A1YaGBiQlJSEyMhJ79uxBaWkpdu3ahZUrV/Z7rPZi1w8REZGDNDc34+LFi+bXVVVVqKysREBAAEJDQ5Gbm4uCggJ8/vnn5muysrKwaNEiTJ48GbGxsdi6dSuqq6uxbNky8zUrV65EamoqQkNDUV9fj3Xr1sFgMCA9Pb1LDLIsY9asWQgLC0N+fj50Oh0iIyNRUlKCxMREhISEWG1d6S12W2NVi4kKERG5FxEry9pY/sSJE0hMTDS/7hw/kp6eju3bt6OhoQGXLl2yKDN//nxcv34da9euRW1tLcaPH4/CwkKEhYWZr7l8+TIWLlyIhoYGDB8+HNOmTcMXX3xhcc0PoWqQk5OD+Ph4eHp6ms9HR0ejpKSk28GtvcVua6xqSYq11VhckMFggL+/P8pPncNdvr6q6nKmWT8+aFFdR7vk2ftFNrjeNvBm/Yj6PrWYOOvHmpuKt5B6PKBuJh8gbtZPS4eYWT9DPBpV1+FMs37q26yv4WGrlmYDfvZAKBobG4XOovmxzr8TdZ/8B/wGq/s+GlpuIGjOrxwaL93CMSpERETktNj1Q0RE7kWS1M/acdBgWuqKiQoREbkXEdOLHTQ9mbrikyYiIiKnxRYVIiJyK4okQVHZdaO2PNmOiQoREbkXdv24FCYqRETkXgRuSkiOJzwlvOeeeyBJUpdjxYoVVq8/ePCg1evPnj0rOjQiIiJyMcJbVI4fPw6T6Yet3b/55hs8/PDD+D//5//0WO7cuXMWi+YMH65u8SAiIiKr+nFlWlJPeKJye4Lx7//+7xgzZgymT5/eY7kRI0bg7rvvFh0OERGRBQ6mdS0OTQnb2trw4Ycf4umnn4bUyzd14sSJCA4ORlJSEg4cONBr3UajEQaDweIgIiKigcWhg2n37t2Lf/7zn3jyySe7vSY4OBhbt25FTEwMjEYjPvjgAyQlJeHgwYNISEjotlxOTg5ee+21Luc7FB06ZHW31SFg3wudpH5vEgBQFPVZe6s8SEAkgNEkZq8USVK/V8ogD/V7IIl0o0P9fkoeGlPvF9nA28MopB4RNBCzlZiIPYMkQbF8f1PMz5OvTsB+Sk7U+9ChqAtGbXm7cNaPS3FoorJt2zakpKRAr9d3e83YsWMxduxY8+vY2FjU1NTg97//fY+JyqpVq8w7OQK3NpsaNWqUmMCJiGjAUiQNFJWJhtryZDuHJSp///vfUVJSgj179thddtq0afjwww97vMbLywteXmJ2viUiIiLn5LBE5f3338eIESPw85//3O6yFRUVCA4OdkBURETk9riOiktxSKIiyzLef/99pKenQ6ezfItVq1bhypUryMvLAwBs2LAB99xzD6KiosyDb3fv3o3du3c7IjQiInJzCgR0/TjTAKEBziGJSklJCaqrq/H00093+VptbS2qq6vNr9va2rBy5UpcuXIFPj4+iIqKwmeffYbZs2c7IjQiInJ3bFFxKQ5JVJKTk6Eo1kfYb9++3eJ1dnY2srOzHREGERERuTju9UNERO5FkgRMT2aLSn9hokJERG6FK9O6Fo4GIiIiIqfFFhUiInIvXJnWpTBRISIit6JAggKVXT8qy5PtmBISERGR02KLChERuRXu9eNamKgQEZF74RgVl8InTURERE6LLSpERORWuI6Ka2GiQkREboVjVFzLgEtUfKQb8NGouy0PqU11HDK0qusAAK3SobqOQZpWAZEA8BJTzd34X9V1mAR9dL2km0LqudtT/fdb1PdJFtCjq1PaBUQCyIJ+mesk9fF4KkYBkQCmQWJ+tn3Qor4S61uq2U3I7xndXarKyzoxnzmbcFNCl8KUkIiIiJwWExUiInIv/+r6UXPciVk/n376KcaOHYuIiAi89957/f7+d8qA6/ohIiLqiSuuTNvR0YGsrCwcOHAAfn5+mDRpEubOnYuAgIB+jeNOYIsKERGRk/vqq68QFRWFkJAQ+Pr6Yvbs2SgqKrrTYfULJipERORW1Hb79GXW0KFDh5Camgq9Xg9JkrB3794u12zatAnh4eHw9vZGTEwMDh8+bP7a1atXERISYn49cuRIXLlypc/PwJUwUSEiIvci4YeZP30+7HvLlpYWTJgwAbm5uVa/np+fj4yMDKxevRoVFRWIj49HSkoKqqurAQCK0nWKl+QmM484RoWIiKiPDAaDxWsvLy94eXVdyyElJQUpKSnd1rN+/Xo888wzWLJkCQBgw4YNKCoqwubNm5GTk4OQkBCLFpTLly9j6tSpgu7CubFFhYiI3IoCjZADAEaNGgV/f3/zkZOTY3c8bW1tOHnyJJKTky3OJycn49ixYwCABx54AN988w2uXLmCpqYmFBYWYubMmeofhgtgiwoREbkVkUvo19TUwM/Pz3zeWmtKbxoaGmAymRAYGGhxPjAwEHV1dQAAnU6Hd955B4mJiZBlGdnZ2Rg6dKiKO3AdTFSIiIj6yM/PzyJRUeP2MSeKolicmzNnDubMmSPkvVwJExUiInIrzrbXz7Bhw6DVas2tJ53q6+u7tLK4I45RISIit9K54JvaQxRPT0/ExMSguLjY4nxxcTHi4uKEvY+rYosKERG5lTvRotLc3IyLFy+aX1dVVaGyshIBAQEIDQ1FVlYWFi1ahMmTJyM2NhZbt25FdXU1li1bpirOgYCJChERkYOdOHECiYmJ5tdZWVkAgPT0dGzfvh3z58/H9evXsXbtWtTW1mL8+PEoLCxEWFjYnQrZaTBRISIityJy1o+tZsyYYXXRth9bvnw5li9friasAYmJChERuRVX3JTQnQ24ROUu+Z/wNXWoqkPEB1CWtKrrAACtou5eAECjmAREAnijRUg9IkbLa2X1zwUQ83wBwBM31Fci5tskhE5uF1KPh3RTSD0Sev6fqC1E/UwO0fyvkHpE0MltQuoR8fM0VPsPVeU9pWbVMdDANOASFSIiop442/Rk6hkTFSIicivs+nEtTAmJiIjIabFFhYiI3IoCAV0//H9+v7H7SR86dAipqanQ6/WQJAl79+61+LqiKFizZg30ej18fHwwY8YMfPvtt73Wu3v3bowbNw5eXl4YN24cCgoK7A2NiIioV862Mi31zO5EpaWlBRMmTEBubq7Vr7/11ltYv349cnNzcfz4cQQFBeHhhx9GU1NTt3WWl5dj/vz5WLRoEb7++mssWrQITzzxBL788kt7wyMiIqIBRFJ6W4Gmp8KShIKCAjz66KMAbrWm6PV6ZGRk4KWXXgIAGI1GBAYG4s0338SvfvUrq/XMnz8fBoMBf/nLX8znZs2ahSFDhuDjjz+2KRaDwQB/f3+cPXEEvnfd1ddbunUfA2x6sqhYRP0PQsRoeVGxiJqePND+dyVqerIsaGaEM01P7tB4CqlHBGeantym9VZVvqm5GdGTpqCxsVHYbsS36/w78XXFKfj6+qqqq6mpCRMmTnJovHSL0E62qqoq1NXVITk52XzOy8sL06dPx7Fjx7otV15eblEGAGbOnNljGaPRCIPBYHEQERH1hl0/rkVootK5RfXt21IHBgZ22b769nL2lsnJyYG/v7/5GDVqlIrIiYjIXXQuoa/2oP7hkGHL0m3fQEVRupxTW2bVqlVobGw0HzU1NX0PmIiIiJyS0OnJQUFBAG61kAQHB5vP19fXd2kxub3c7a0nvZXx8vKCl5eXyoiJiMjdKIoERVG54JvK8mQ7oS0q4eHhCAoKQnFxsflcW1sbysrKEBcX12252NhYizIAsH///h7LEBER9Y3m1loqKg6ul9p/7G5RaW5uxsWLF82vq6qqUFlZiYCAAISGhiIjIwNvvPEGIiIiEBERgTfeeAODBg1CWlqauczixYsREhKCnJwcAMALL7yAhIQEvPnmm3jkkUewb98+lJSU4MiRIwJukYiIiFyV3YnKiRMnkJiYaH6dlZUFAEhPT8f27duRnZ2NGzduYPny5fj+++8xdepU7N+/32IqWHV1NTSaH7LRuLg47Ny5E6+88gpeffVVjBkzBvn5+Zg6daqaeyMiIuqCe/24FlXrqDgTrqPSPa6j0j2uo2Id11HpHtdRsc6V1lE5UfEt7lK5jkpzUxMmT4ziOir9gJ1sRERE5LS4KSEREbkVdv24lgGXqAxuuoa7lGZVdbR7DlYdh6IR08ys6VDftKvruCkgEkAWdE+yxkN9HToxze+SIoupx6S+6VyCmFg6dD6q69AI6Aq4VY+YLiQR3yeTVsxyBqJ+tkX8oRP1fRLxfH1b/qaqvEdLq+oYbMVExbWw64eIiIic1oBrUSEiIuoJF3xzLUxUiIjIrbDrx7UwUSEiIrfCRMW1cIwKEREROS22qBARkVthi4prYaJCRERuRYGAwbRMVPoNu36IiIjIabFFhYiI3IoMCbLKFhG15cl2TFSIiMitcIyKa2HXDxERETkttqgQEZFb4cq0roWJChERuRUF6rtuFDGhkA3Y9UNEREQO89hjj2HIkCF4/PHH+1SeiQoREbmVzq4ftQfZ5vnnn0deXl6fyzNRISIit9I560ftQbZJTEyEr69vn8sPuDEqutZ/Qie1qaqjQ+etOo42z7tU1wEAXqZ21XVIAuoAAI+bTULqMXn3/QPbqUMS80tCY1L3Wemku9kspB4RtB43Vdchaz0ERAJIiiykHm3bDdV1aDw6BEQCaG8YhNRj9AtUXYekmAREAuhEPN8O4x0tb4/+HEzb1NSEV199FQUFBaivr8fEiRPxhz/8AVOmTOm2zJo1a/Daa69ZnAsMDERdXZ2qmG936NAhvP322zh58iRqa2tRUFCARx991OKaTZs24e2330ZtbS2ioqKwYcMGxMfHC42jN2xRISIicpAlS5aguLgYH3zwAU6fPo3k5GT87Gc/w5UrV3osFxUVhdraWvNx+vTpbq89evQo2tu7/of07NmzPSY3LS0tmDBhAnJzc61+PT8/HxkZGVi9ejUqKioQHx+PlJQUVFdXm6+JiYnB+PHjuxxXr17t8f7sMeBaVIiIiHqiAFDb1mfLrJ8bN25g9+7d2LdvHxISEgDcai3Zu3cvNm/ejHXr1nVbVqfTISgoqNf3kGUZK1asQEREBHbu3AmtVgsAOH/+PBITE5GZmYns7GyrZVNSUpCSktJt3evXr8czzzyDJUuWAAA2bNiAoqIibN68GTk5OQCAkydP9hqjWmxRISIityJyMO2UKVMwbtw4bNy4scv7dHR0wGQywdvbcjiBj48Pjhw50mOMFy5cgF6vR3h4OBYsWIDvvvvO6nUajQaFhYWoqKjA4sWLIcsyLl26hIceeghz5szpNknpTVtbG06ePInk5GSL88nJyTh27Fif6uwrtqgQERH10fHjx+Hn52f1a76+voiNjcXvfvc7REZGIjAwEB9//DG+/PJLREREdFvn1KlTkZeXh3vvvRfXrl3DunXrEBcXh2+//RZDhw7tcr1er0dpaSkSEhKQlpaG8vJyJCUlYcuWLX2+r4aGBphMJgQGWo6l6stYmZkzZ+LUqVNoaWnByJEjUVBQ0OMYndsxUSEiIrfSn3v9fPDBB3j66acREhICrVaLSZMmIS0tDadOneq2zI+7Y6KjoxEbG4sxY8Zgx44dyMrKslomNDQUeXl5mD59OkaPHo1t27ZBEjDp4PY6FEWxu96ioiJVMbDrh4iI3Ep/rqMyZswYlJWVobm5GTU1Nfjqq6/Q3t6O8PBwm+MdPHgwoqOjceHChW6vuXbtGpYuXYrU1FS0trYiMzPT5vqtGTZsGLRabZfWk/r6+i6tLI7GRIWIiMjBBg8ejODgYHz//fcoKirCI488YnNZo9GIM2fOIDg42OrXGxoakJSUhMjISOzZswelpaXYtWsXVq5c2ed4PT09ERMTg+LiYovzxcXFiIuL63O9fcGuHyIiciv92fVTVFQERVEwduxYXLx4ES+++CLGjh2Lp556CgCQm5uLgoICfP755+YyK1euRGpqKkJDQ1FfX49169bBYDAgPT29S/2yLGPWrFkICwtDfn4+dDodIiMjUVJSgsTERISEhHTbutLc3IyLFy+aX1dVVaGyshIBAQEIDQ1FVlYWFi1ahMmTJyM2NhZbt25FdXU1li1bZs+jUo2JChERuRVZuXWorcMWjY2NWLVqFS5fvoyAgADMmzcPr7/+Ojw8bi2q2NDQgEuXLlmUuXz5MhYuXIiGhgYMHz4c06ZNwxdffIGwsLAu9Ws0GuTk5CA+Ph6enp7m89HR0SgpKbE6+LbTiRMnkJiYaH7dOf4lPT0d27dvx/z583H9+nWsXbsWtbW1GD9+PAoLC63G4UiSoigDYhNIg8EAf39/1H62DX6DB6mq66a/9eY1exi9/VXXAQBeRvWrYHrcFLOSpqZd/YqngKCVaT18BEQyMFemlT281NcxAFemlT3UrzgNcGXa7mhVrlxtaGlF8Oyn0djY2O0sGrU6/04UfnEVg+9S9x4tzQbMnqZ3aLx0C1tUiIjIrfRn1w+px0SFiIjcSn/u9UPqMVEhIiK3oii3DrV1UP+we3ryoUOHkJqaCr1eD0mSsHfvXvPX2tvb8dJLLyE6OhqDBw+GXq/H4sWLe92caPv27ZAkqctx86aYMRFERETkmuxOVHrabbG1tRWnTp3Cq6++ilOnTmHPnj04f/485syZ02u9fn5+FjtF1tbWdtkfgYiISC0ZkpCD+ofdXT897bbo7+/fZXGYP/3pT3jggQdQXV2N0NDQbuuVJMmmnSKJiIjU4BgV1+LwlWkbGxshSRLuvvvuHq9rbm5GWFgYRo4ciX/7t39DRUVFj9cbjUYYDAaLg4iIiAYWhw6mvXnzJl5++WWkpaX1OM/8vvvuw/bt2xEdHQ2DwYA//OEP+OlPf4qvv/662x0mc3Jy8Nprr3U5b/K+CyZvdeuoiKCR252mHpOg9SMgiclrO3Tq4xFRBwBoBd2TxlP9ehZt3mLWYhCxdolk6hAQCSBBzDoqGq36eNq97hIQCQBBa8O0C1gLyKOtVUAkgKxV/6dAUvl7RvYQ81xtwcG0rsVhLSrt7e1YsGABZFnGpk2berx22rRp+MUvfoEJEyYgPj4eu3btwr333os//elP3ZZZtWoVGhsbzUdNTY3oWyAiogGocx0VtQf1D4e0qLS3t+OJJ55AVVUVSktL7V61T6PRYMqUKT3uFOnl5QUvL/UrcBIREZHzEt6i0pmkXLhwodd9BrqjKAoqKyu73SmSiIiorzr3+lF7UP+wu0Wlp90W9Xo9Hn/8cZw6dQqffvopTCYT6urqAAABAQHmDZMWL16MkJAQ5OTkAABee+01TJs2DRERETAYDPjjH/+IyspKbNy4UcQ9EhER/UDArB9w1k+/sTtR6Wm3xTVr1uCTTz4BANx///0W5Q4cOIAZM2YAAKqrq6HR/NCY889//hNLly5FXV0d/P39MXHiRBw6dAgPPPCAveERERHRAGJ3ojJjxgz0tOGyLZsxHzx40OL1u+++i3fffdfeUIiIiOzGWT+uhXv9EBGRWxGxsixXpu0/TFSIiMitsEXFtTh8ZVoiIiKivmKLChERuRXu9eNamKgQEZFbEbEOCtdR6T/s+iEiIiKnxRYVIiJyKxxM61qYqBARkVsRsakgNyXsP+z6ISIiIqfFFhUiInIrMgQMphUSCdmCiQoREbkVjlFxLQMuUdG1NEKHdlV1mDy81cfRYVRdBwBIskl1HbobBgGRAJpWMfVIvkNV16FROgREAmiNrULq0Ql4Nh6GBgGRADcD9KrrUAT1CuvabgipR2NsUV2Hp4A4AEB7s0lIPd4arZB6RJAE/NXV/eOyuvKtYj4rNPAMuESFiIioJ2xRcS1MVIiIyK3IigRZ5cqyasuT7ZioEBGRW2GLimvh9GQiIiJyWmxRISIit8IWFdfCRIWIiNyKImBTQiYq/YddP0REROS02KJCRERuRVEkKCpn7agtT7ZjokJERG6FY1RcC7t+iIiIqFePPfYYhgwZgscff7xf35eJChERuRVZEXO4m+effx55eXn9/r5MVIiIyK10dv2oPdxNYmIifH19+/19magQERE5SFNTEzIyMhAWFgYfHx/ExcXh+PHjQt/j0KFDSE1NhV6vhyRJ2Lt3r9XrNm3ahPDwcHh7eyMmJgaHDx8WGoejMFEhIiK30p8tKkuWLEFxcTE++OADnD59GsnJyfjZz36GK1euWL3+6NGjaG9v73L+7NmzqKurs1qmpaUFEyZMQG5ubrdx5OfnIyMjA6tXr0ZFRQXi4+ORkpKC6upq8zUxMTEYP358l+Pq1au23ayDcNYPERG5FRFjTGwpf+PGDezevRv79u1DQkICAGDNmjXYu3cvNm/ejHXr1lnWKctYsWIFIiIisHPnTmi1WgDA+fPnkZiYiMzMTGRnZ3d5n5SUFKSkpPQYy/r16/HMM89gyZIlAIANGzagqKgImzdvRk5ODgDg5MmTvd/UHcAWFSIicisiW1SmTJmCcePGYePGjV3ep6OjAyaTCd7e3hbnfXx8cOTIkS7XazQaFBYWoqKiAosXL4Ysy7h06RIeeughzJkzx2qSYou2tjacPHkSycnJFueTk5Nx7NixPtXZnwZci0rH4CHouGuQqjpMOu/eL+otDp2X6joAQFJk1XUog8Tko5KPn5B6RDxfk9ZTQCSASSvm+6To1MdjElAHAMgino2gkYLGQUOE1OOhVf+rStFoBUQCaNpvCqlHxM+BIgn62RbwewbBo1UVb2tuVR/DHXD8+HH4+Vn/3ejr64vY2Fj87ne/Q2RkJAIDA/Hxxx/jyy+/REREhNUyer0epaWlSEhIQFpaGsrLy5GUlIQtW7b0OcaGhgaYTCYEBgZanA8MDOy2O8mamTNn4tSpU2hpacHIkSNRUFCAKVOm9DkuWw24RIWIiKgnsnzrUFuHLT744AM8/fTTCAkJgVarxaRJk5CWloZTp051WyY0NBR5eXmYPn06Ro8ejW3btkGS1K+Ee3sdiqLYVW9RUZHqGPqCXT9ERORW+nMw7ZgxY1BWVobm5mbU1NTgq6++Qnt7O8LDw7stc+3aNSxduhSpqalobW1FZmamqvsdNmwYtFptl9aT+vr6Lq0szoiJChERkYMNHjwYwcHB+P7771FUVIRHHnnE6nUNDQ1ISkpCZGQk9uzZg9LSUuzatQsrV67s83t7enoiJiYGxcXFFueLi4sRFxfX53r7C7t+iIjIrfTnXj9FRUVQFAVjx47FxYsX8eKLL2Ls2LF46qmnulwryzJmzZqFsLAw5OfnQ6fTITIyEiUlJUhMTERISIjV1pXm5mZcvHjR/LqqqgqVlZUICAhAaGgoACArKwuLFi3C5MmTERsbi61bt6K6uhrLli3r2wPoR3a3qPS2sMyTTz4JSZIsjmnTpvVa7+7duzFu3Dh4eXlh3LhxKCgosDc0IiKiXskQsIS+je/V2NiIFStW4L777sPixYvx4IMPYv/+/fDw8OhyrUajQU5ODnbv3g1Pzx8GxUdHR6OkpKTbPXZOnDiBiRMnYuLEiQBuJSUTJ07Eb37zG/M18+fPx4YNG7B27Vrcf//9OHToEAoLCxEWFmbzc7tT7G5R6VxY5qmnnsK8efOsXjNr1iy8//775tc/fuDWlJeXY/78+fjd736Hxx57DAUFBXjiiSdw5MgRTJ061d4QiYiInMITTzyBJ554wubrH374Yavn77///m7LzJgxA4oNTTzLly/H8uXLbY7FWdidqNiysIyXlxeCgoJsrnPDhg14+OGHsWrVKgDAqlWrUFZWhg0bNuDjjz+2N0QiIqJuKYpi0x/23uqg/uGQwbQHDx7EiBEjcO+99+KXv/wl6uvre7y+vLy8y0I0M2fO7HEhGqPRCIPBYHEQERH1hpsSuhbhiUpKSgr+67/+C6WlpXjnnXdw/PhxPPTQQzAajd2Wqaurs3shmpycHPj7+5uPUaNGCbsHIiIicg7CZ/3Mnz/f/O/x48dj8uTJCAsLw2effYa5c+d2W87ehWhWrVqFrKws82uDwcBkhYiIeqUIWPBNxGK+ZBuHT08ODg5GWFgYLly40O01QUFBdi9E4+XlBS8vMcufExGR++jP6cmknsMXfLt+/TpqamoQHBzc7TWxsbFdFqLZv3+/SyxEQ0RErkX11GQBuy+T7exuUelpYZmAgACsWbMG8+bNQ3BwMP72t7/h17/+NYYNG4bHHnvMXGbx4sUICQkxby39wgsvICEhAW+++SYeeeQR7Nu3DyUlJVZ3lyQiIiL3YXeicuLECSQmJppfd44TSU9Px+bNm3H69Gnk5eXhn//8J4KDg5GYmIj8/Hz4+vqay1RXV0Oj+aExJy4uDjt37sQrr7yCV199FWPGjEF+fj7XUCEiIuHY9eNa7E5UeltYxpbdFQ8ePNjl3OOPP97tqntERESiKLICRWXfjdryZDtuSkhEREROi5sSEhGRWxExGJYNKv1nwCUqxkFDcHPQYFV1yBqt6jgUSX0dAGDS9rxPUn/VAQAaxSSkHpOm62Zc9pIELWIg6tmYfNTX067zFhAJoBHwbLSmNgGRiNPu5dv7Rb0wacT8umse3P2yCfbQyh2q69B13BQQiZjfeUYvP1XlW6Vm1THYimNUXAu7foiIiMhpDbgWFSIiop7IsgJZZd+N2vJkOyYqRETkVtj141rY9UNEREROiy0qRETkVtii4lqYqBARkVuRFQWyykxDbXmyHRMVIiJyK4p861BbB/UPjlEhIiIip8UWFSIicisKlB73rLO1DuofTFSIiMitKDIgs+vHZbDrh4iIiJwWW1SIiMitKIqArh/O+uk3TFSIiMitcPdk18KuHyIiInJabFEhIiK3osgKFJVNImrLk+2YqBARkVvhEvquZcAlKookQZHufI+WrNEKqUdrUl+HSeuhvhIAN3T+QuqRBMzr08ntAiIRR5Ek1XV4dNwUEIm4z54IHTovIfVoZAE/CIIoUP+9BsT8HLR7+AiIBNDIHarrUPszIOJniAamAZeoEBER9USWFcgqu27UlifbMVEhIiK3wunJroWJChERuRVuSuha7vxgDiIiIqJusEWFiIjciqwokFV23agtT7ZjokJERG6FY1RcC7t+iIiIyGmxRYWIiNwKpye7FiYqRETkVrgyrWth1w8RERE5zGOPPYYhQ4bg8ccf71N5JipERORWFEUxb0zY54NNKjZ7/vnnkZeX1+fyTFSIiMitKP+anqzmYKJiu8TERPj6+va5PBMVIiIiB+no6MArr7yC8PBw+Pj4YPTo0Vi7di1kufulbdesWQNJkiyOoKAg4bEdOnQIqamp0Ov1kCQJe/fu7XLNpk2bEB4eDm9vb8TExODw4cPC4+iN3YlKbzd2+8PtPN5+++1u69y+fbvVMjdvitlNloiIqJPqbp9/HbZ48803sWXLFuTm5uLMmTN466238Pbbb+NPf/pTj+WioqJQW1trPk6fPt3ttUePHkV7e9cd5c+ePYu6urpuy7W0tGDChAnIzc21+vX8/HxkZGRg9erVqKioQHx8PFJSUlBdXW2+JiYmBuPHj+9yXL16tcf7s4fds346b+ypp57CvHnzuny9trbW4vVf/vIXPPPMM1av/TE/Pz+cO3fO4py3t7e94REREfXInkSjpzpsUV5ejkceeQQ///nPAQD33HMPPv74Y5w4caLHcjqdzqZWFFmWsWLFCkRERGDnzp3QarUAgPPnzyMxMRGZmZnIzs62WjYlJQUpKSnd1r1+/Xo888wzWLJkCQBgw4YNKCoqwubNm5GTkwMAOHnyZK8xqmV3i0pKSgrWrVuHuXPnWv16UFCQxbFv3z4kJiZi9OjRPdbb2bT144OIiEg0WRFzAMCUKVMwbtw4bNy40ep7Pfjgg/j8889x/vx5AMDXX3+NI0eOYPbs2T3GeOHCBej1eoSHh2PBggX47rvvrF6n0WhQWFiIiooKLF68GLIs49KlS3jooYcwZ86cbpOU3rS1teHkyZNITk62OJ+cnIxjx471qc6+cug6KteuXcNnn32GHTt29Hptc3MzwsLCYDKZcP/99+N3v/sdJk6c2O31RqMRRqPR/NpgMAiJmYiIyFbHjx+Hn59ft19/6aWX0NjYiPvuuw9arRYmkwmvv/46Fi5c2G2ZqVOnIi8vD/feey+uXbuGdevWIS4uDt9++y2GDh3a5Xq9Xo/S0lIkJCQgLS0N5eXlSEpKwpYtW/p8Xw0NDTCZTAgMDLQ4HxgY2GN3kjUzZ87EqVOn0NLSgpEjR6KgoABTpkyxubxDE5UdO3bA19e329aXTvfddx+2b9+O6OhoGAwG/OEPf8BPf/pTfP3114iIiLBaJicnB6+99lqX81pTO7SmNlVxt3v4qCoPALKkVV0HAGgUk+o6JJOY0emKoHsSQRLwXACgQ+slpB4R36cOnZhYJAGzEUxaQZ9fuUNIPSKI+vxqFee5J1EkpfuBnQNRf3b95Ofn48MPP8RHH32EqKgoVFZWIiMjA3q9Hunp6VbL/Lg7Jjo6GrGxsRgzZgx27NiBrKwsq2VCQ0ORl5eH6dOnY/To0di2bRskSbL/xm5zex2Kothdb1FRkaoYHDrr589//jP+7//9v72ONZk2bRp+8YtfYMKECYiPj8euXbtw77339jjYaNWqVWhsbDQfNTU1osMnIqIBqHNTQrWHLV588UW8/PLLWLBgAaKjo7Fo0SJkZmaax3jYYvDgwYiOjsaFCxe6vebatWtYunQpUlNT0draiszMTJvrt2bYsGHQarVdWk/q6+u7tLI4msMSlcOHD+PcuXPmQTj20Gg0mDJlSo/fFC8vL/j5+VkcREREzqS1tRUajeWfWq1W2+P05NsZjUacOXMGwcHBVr/e0NCApKQkREZGYs+ePSgtLcWuXbuwcuXKPsft6emJmJgYFBcXW5wvLi5GXFxcn+vtC4d1/Wzbtg0xMTGYMGGC3WUVRUFlZSWio6MdEBkREbkzWVa/qaCteUZqaipef/11hIaGIioqChUVFVi/fj2efvppAEBubi4KCgrw+eefm8usXLkSqampCA0NRX19PdatWweDwWC1q0iWZcyaNQthYWHIz8+HTqdDZGQkSkpKkJiYiJCQkG5bV5qbm3Hx4kXz66qqKlRWViIgIAChoaHIysrCokWLMHnyZMTGxmLr1q2orq7GsmXL7HhS6tmdqPR2Y8Ctga3/7//9P7zzzjtW61i8eDFCQkLMTV+vvfYapk2bhoiICBgMBvzxj39EZWVlt6OoiYiI+sqerpue6rDFn/70J7z66qtYvnw56uvrodfr8atf/Qq/+c1vANxqDbl06ZJFmcuXL2PhwoVoaGjA8OHDMW3aNHzxxRcICwvrUr9Go0FOTg7i4+Ph6elpPh8dHY2SkhKrg287nThxAomJiebXneNf0tPTsX37dsyfPx/Xr1/H2rVrUVtbi/Hjx6OwsNBqHI4kKXZ+tw4ePGhxY506bwwAtm7dioyMDNTW1sLf37/LtTNmzMA999xjvj4zMxN79uxBXV0d/P39MXHiRKxZswaxsbE2x2UwGODv74+qo/8N37sG23NLXYgYTCtqkKaPsVF1HYokpoevXaf+uYgyEAfTiiJiMK0oor5PIogaTKsIGKAIABpZ/bORNYIGCKucgAAAJq1n7xf1oKm5GfdNfhCNjY0O68rv/Dux6JXv4Ond9yXdAaDtZhM+WDfaofHSLXYnKs6KiUr3mKh0j4mKYzFR6R4TFUv9maj84teXhCQqH74xholKP3Do9GQiIiJn05/Tk0k9bkpIRERETostKkRE5FZkKJBVdpHKYItKf2GiQkREboVdP66FiQoREbmV/pyeTOpxjAoRERE5LbaoEBGRW1FkRfXKtOz66T9MVIiIyK1wjIprYdcPEREROS22qBARkVvhYFrXwkSFiIjciiLLUGzd/riHOqh/DLhEpd3DB+0eg1TVIWJ/EkkR8yE2et6lug6N3CEgEnF7nIjYi0bUvi2i9uhRIObZiNChcs8VAPAwGQVE4lxEfX5Nkphfmyat+nq0ipifbbX79ADqf66daY8qci4DLlEhIiLqiSxg1o/a8mQ7JipERORWOEbFtXDWDxERETkttqgQEZFb4ToqroWJChERuRUmKq6FiQoREbkVGTJklTMzZXB6cn/hGBUiIiJyWmxRISIit6LI6rtuBC2VRTZgokJERG6FY1RcC7t+iIiIyGmxRYWIiNwKF3xzLUxUiIjIrciyDFnlpoJqy5Pt2PVDRERETostKkRE5FY4mNa1MFEhIiK3oigyFJXzi9WWJ9ux64eIiIic1gBsUVH+daioQdKqjkIjKNvWmtpU1yFr1N+PSB0aD9V1eJhuCogEkCX1sQCAIqnP+RVIAiIBtHK76jpMGjG/GhSIeb46AfckiojvNQBIAn5HiPrMiPh9Jat8LmrL24NdP65lACYqREREPRCQqICJSr9hokJERG5FVgRsSsgxKv2GY1SIiIjIabFFhYiI3ArHqLgWu1pUcnJyMGXKFPj6+mLEiBF49NFHce7cOYtrFEXBmjVroNfr4ePjgxkzZuDbb7/tte7du3dj3Lhx8PLywrhx41BQUGDfnRAREdlAUWQossqDXT/9xq5EpaysDCtWrMAXX3yB4uJidHR0IDk5GS0tLeZr3nrrLaxfvx65ubk4fvw4goKC8PDDD6OpqanbesvLyzF//nwsWrQIX3/9NRYtWoQnnngCX375Zd/vjIiIiFyepKjYWekf//gHRowYgbKyMiQkJEBRFOj1emRkZOCll14CABiNRgQGBuLNN9/Er371K6v1zJ8/HwaDAX/5y1/M52bNmoUhQ4bg448/tikWg8EAf39/nP/qIHzvuquvt/Qv6qf8iZrC6EzTk2VBU1ZNkvp6RE1PNgmYKg041/RkjWJSXYeoz6+oexIxPVmRxMTSofEUUo+I6ckivte36rnz05ObmpsROfmnaGxshJ+fn+p4rOn8OzF93gHoPNT9nehob0bZ7kSHxku3qPpkNTY2AgACAgIAAFVVVairq0NycrL5Gi8vL0yfPh3Hjh3rtp7y8nKLMgAwc+bMHssYjUYYDAaLg4iIqDedK9OqPah/9DlRURQFWVlZePDBBzF+/HgAQF1dHQAgMDDQ4trAwEDz16ypq6uzu0xOTg78/f3Nx6hRo/p6K0REROSk+pyoPPvss/jrX/9qtWtGuq2JVVGULufUllm1ahUaGxvNR01NjR3RExGRu5JlQJYVlcedvgv30afBAs899xw++eQTHDp0CCNHjjSfDwoKAnCrhSQ4ONh8vr6+vkuLyY8FBQV1aT3prYyXlxe8vLz6Ej4REbmxzpk7auug/mFXi4qiKHj22WexZ88elJaWIjw83OLr4eHhCAoKQnFxsflcW1sbysrKEBcX1229sbGxFmUAYP/+/T2WISIiov7z2GOPYciQIXj88cf79X3talFZsWIFPvroI+zbtw++vr7mVhB/f3/4+PhAkiRkZGTgjTfeQEREBCIiIvDGG29g0KBBSEtLM9ezePFihISEICcnBwDwwgsvICEhAW+++SYeeeQR7Nu3DyUlJThy5IjAWyUiIuKCb331/PPP4+mnn8aOHTv69X3tSlQ2b94MAJgxY4bF+ffffx9PPvkkACA7Oxs3btzA8uXL8f3332Pq1KnYv38/fH19zddXV1dDo/mhMScuLg47d+7EK6+8gldffRVjxoxBfn4+pk6d2sfbIiIisk7ErB13nPWTmJiIgwcP9vv72t31Y+3oTFKAW4Ni16xZg9raWty8eRNlZWXmWUGdDh48iO3bt1uce/zxx3H27Fm0tbXhzJkzmDt3bp9vioiIqDudLSpqD1t0dHTglVdeQXh4OHx8fDB69GisXbsWssAxLocOHUJqair0ej0kScLevXutXrdp0yaEh4fD29sbMTExOHz4sLAYHIl7/RARETnIm2++iS1btmDHjh2IiorCiRMn8NRTT8Hf3x8vvPBCl+uPHj2KBx54AB4elotRnj17Fnfffbd50sqPtbS0YMKECXjqqacwb948q3Hk5+cjIyMDmzZtwk9/+lP8x3/8B1JSUvA///M/CA0NBQDExMTAaDR2Kbt//37o9fq+3L4QAyZR6Vxgt7m5pZcrbcGVaa3Xw5Vpu8OVabuphyvTdosr01rq/N2tYrF0m3W0NametWPqsO1vTXl5OR555BH8/Oc/BwDcc889+Pjjj3HixIku18qyjBUrViAiIgI7d+6EVnvrd/f58+eRmJiIzMxMZGdndymXkpKClJSUHuNYv349nnnmGSxZsgQAsGHDBhQVFWHz5s3m8aInT5606Z76nTJA1NTUKAB48ODBg4cLHzU1NQ77O3Hjxg0lKChIWKx+fn7K2LFjlcjISCU3N9fqe+bk5ChhYWHKuXPnFEVRlMrKSmXEiBHKRx99ZPX6K1euKGPGjFHS0tIUk8mkXLx4UQkJCVGWLl1q0z0CUAoKCizOGY1GRavVKnv27LE4//zzzysJCQk21dvpwIEDyrx58+wqo9aAaVHR6/WoqamBr69vtwvFGQwGjBo1CjU1NdybwQH4fB2Lz9ex+Hwdq7fnqygKmpqaHNrF4O3tjaqqKrS1qW+pBgBPT094e3v3eM1LL72ExsZG3HfffdBqtTCZTHj99dexcOFCq9fr9XqUlpYiISEBaWlpKC8vR1JSErZs2dLnOBsaGmAymexeAf52M2fOxKlTp9DS0oKRI0eioKAAU6ZM6XNcthowiYpGo7FYfK4nfn5+/EXkQHy+jsXn61h8vo7V0/P19/d3+Pt7e3v3mlyIlJ+fjw8//BAfffQRoqKiUFlZiYyMDOj1eqSnp1stExoairy8PEyfPh2jR4/Gtm3bel3d3RZ9WTX+x4qKilTH0BdiOqKJiIioixdffBEvv/wyFixYgOjoaCxatAiZmZnmcSHWXLt2DUuXLkVqaipaW1uRmZmpKoZhw4ZBq9XavQK8s2CiQkRE5CCtra0W64YBgFar7XZ6ckNDA5KSkhAZGWleBX7Xrl1YuXJln2Pw9PRETExMlxXgi4uLXWIF+AHT9WMLLy8v/Pa3v+UeQQ7C5+tYfL6OxefrWO76fFNTU/H6668jNDQUUVFRqKiowPr16/H00093uVaWZcyaNQthYWHIz8+HTqdDZGQkSkpKkJiYiJCQEKutK83Nzbh48aL5dVVVFSorKxEQEGCeepyVlYVFixZh8uTJiI2NxdatW1FdXY1ly5Y57uYFkRSlH+aCERERuaGmpia8+uqrKCgoQH19PfR6PRYuXIjf/OY38PTsOtW9uLgY8fHxXcbRVFZWYujQoRg1alSXMgcPHkRiYmKX8+np6RaLq27atAlvvfUWamtrMX78eLz77rtISEhQf5MOxkSFiIiInBbHqBAREZHTYqJCRERETouJChERETktt0lUXHXXSGe3Zs0aSJJkcVjbNIts09suqIqiYM2aNdDr9fDx8cGMGTPw7bff3plgXVBvz/fJJ5/s8nmeNm3anQnWBeXk5GDKlCnw9fXFiBEj8Oijj+LcuXMW1/AzTPZyi0Slc9fI1atXo6KiAvHx8UhJSUF1dfWdDm1AiIqKQm1trfk4ffr0nQ7JZXXugpqbm2v162+99RbWr1+P3NxcHD9+HEFBQXj44YfR1NTUz5G6pt6eLwDMmjXL4vNcWFjYjxG6trKyMqxYsQJffPEFiouL0dHRgeTkZLS0/LCBHz/DZLd+3VnoDnnggQeUZcuWWZy77777lJdffvkORTRw/Pa3v1UmTJhwp8MYkHDb5mKyLCtBQUHKv//7v5vP3bx5U/H391e2bNlyByJ0bbc/X0VRlPT0dOWRRx65I/EMRPX19QoApaysTFEUfoapbwZ8i0pbWxtOnjyJ5ORki/PJyck4duzYHYpqYLlw4QL0ej3Cw8OxYMECfPfdd3c6pAGpqqoKdXV1Fp9lLy8vTJ8+nZ9lgQ4ePIgRI0bg3nvvxS9/+UvU19ff6ZBcVmNjIwAgICAAAD/D1DcDPlERtWskWTd16lTk5eWhqKgI//mf/4m6ujrExcXh+vXrdzq0Aafz88rPsuOkpKTgv/7rv1BaWop33nkHx48fx0MPPQSj0XinQ3M5iqIgKysLDz74IMaPHw+An2HqG7dZQl/trpFkXUpKivnf0dHRiI2NxZgxY7Bjxw5kZWXdwcgGLn6WHWf+/Pnmf48fPx6TJ09GWFgYPvvsM8ydO/cORuZ6nn32Wfz1r3/FkSNHunyNn2Gyx4BvUXH1XSNdzeDBgxEdHY0LFy7c6VAGnM7ZVPws95/g4GCEhYXx82yn5557Dp988gkOHDiAkSNHms/zM0x9MeATFVffNdLVGI1GnDlzBsHBwXc6lAEnPDwcQUFBFp/ltrY2lJWV8bPsINevX0dNTQ0/zzZSFAXPPvusedff8PBwi6/zM0x94RZdP668a6SzW7lyJVJTUxEaGor6+nqsW7cOBoMB6enpdzo0l9TbLqgZGRl44403EBERgYiICLzxxhsYNGgQ0tLS7mDUrqOn5xsQEIA1a9Zg3rx5CA4Oxt/+9jf8+te/xrBhw/DYY4/dwahdx4oVK/DRRx9h37598PX1Nbec+Pv7w8fHB5Ik8TNM9rujc4760caNG5WwsDDF09NTmTRpknm6HKkzf/58JTg4WPHw8FD0er0yd+5c5dtvv73TYbmsAwcOKAC6HOnp6Yqi3Jre+dvf/lYJCgpSvLy8lISEBOX06dN3NmgX0tPzbW1tVZKTk5Xhw4crHh4eSmhoqJKenq5UV1ff6bBdhrVnC0B5//33zdfwM0z24u7JRERE5LQG/BgVIiIicl1MVIiIiMhpMVEhIiIip8VEhYiIiJwWExUiIiJyWkxUiIiIyGkxUSEiIiKnxUSFiIiInBYTFSIiInJaTFSIiIjIaTFRISIiIqfFRIWIiIic1v8H/C0CM9g/mpoAAAAASUVORK5CYII=", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.imshow(counts_2d_pos5_costa/counts_2d_pos3_costa, norm=LogNorm(vmin=0.8, vmax=1.2), cmap='coolwarm')\n", | |
| "plt.colorbar()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 163, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "nora1_df = read_pairs('../Data/noraBruneau2017/mAux-R2-L1.mm10.nodups_20.id_pairs.gz')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 164, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "nora1_dup_dists = calculate_dup_dists(nora1_df)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 165, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_nora1 = nora1_dup_dists[['dist1', 'dist2']].value_counts().sort_index()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 166, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_2d_nora1 = counts_nora1.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 167, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_nora1,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 168, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "schwarzer1_df = read_pairs('../Data/schwarzerSpitz2017/HiC-TCC_WT_Rep1.mm10.pairs.gz')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 169, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "schwarzer1_dup_dists = calculate_dup_dists(schwarzer1_df)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 170, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_schwarzer1 = schwarzer1_dup_dists[['dist1', 'dist2']].value_counts().sort_index()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 171, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_2d = counts_schwarzer1.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 172, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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PGzcOf/75J6KiopCSkoIvvvgCy5cvx+TJky31EoiIqJrjZRpxVn2Z5tKlSxgxYgSuXr2K+vXro3Pnzjhy5Ah8fHwAAJmZmUhPT9fv7+vri23btmHSpEmIi4uDt7c3Fi1axGG9REREVsyqi5FvvvmmzO3x8fEl1vXo0QMnTpyopIyIiIgMcdIzcVZdjBAREVk/0SndeZmGBRkRERFZFFtGyiCpihaLU1lDEgrT6SydgfVSK/BjqdRnRon3qRp+fBUjK/RzoEQYpT4zSrwmJV5PFX7H8DKNOBYjREREAkSH5/IiDYsRIiIiIaLDczm0l61DREREZGFsGSEiIhLAPiPiWIwQEREJYJ8RcSzIiIiIyKJYjBAREQmwt3vTrFy5Elu3btU/njJlCurUqYPg4GD8+eefZsVkMUJERCRApcBiS+bMmQNnZ2cAwOHDhxEbG4t58+ahXr16mDRpklkx2WeEiIiIKiwjIwPNmjUDAGzatAnDhg3Dyy+/jK5du6Jnz55mxbS1goyIiMiqSAostqR27dq4du0aAGDHjh14/PHHAQBOTk64deuWWTHZMkJERCTA3iY969OnD1588UW0b98ev//+O5544gkAwJkzZ9C4cWOzYrJlhIiIiCosLi4OXbp0wd9//43169fjgQceAAAcP34cI0aMMCsmW0aIiIgEqOSiReR4W1KnTh3ExsaWWD9z5kyzY7JlhIiISIAEsZE0tnWRpsj+/fvx3HPPITg4GJcvXwYAfPnllzhw4IBZ8ViMEBERCbC3Dqzr169H37594ezsjBMnTiA/Px8AcOPGDcyZM8esmCxGiIiIqMJmz56NpUuX4vPPP4eDg4N+fXBwME6cOGFWTPYZKYvohUAAUFvPKZYkBWpPWSceA1DuvCiUDpVCpcBnRlKLx7AykhLnpSiQMnGUykcJSrwmlQKfmSo8J/Z2o7zU1FR07969xHpXV1f8+++/ZsW0tXNARERkVextOngvLy+cP3++xPoDBw6gSZMmZsVkMUJEREQV9sorr2DChAk4evQoJEnClStXsHr1akyePBkRERFmxbSeawhEREQ2SLQTqm21ixTdGC8nJwe9evXC7du30b17d2g0GkyePBmvvvqqWTFZjBAREQmwtz4jAPD+++/j7bffxtmzZ6HT6eDn54fatWubHc8WzwEREREJSktLQ69eveDn54c2bdogLy+vQsc9//zzuHHjBmrWrInAwEB07NgRtWvXRl5eHp5//nmzcmExQkREJKB44KXIYgljxozBrFmzcPbsWSQmJkKj0VTouJUrVxq9Id6tW7ewatUqs3LhZRoiIiIBtthn5MyZM3BwcEC3bt0AAO7u7uUeo9VqIcsyZFnGjRs34OTkpN9WWFiIbdu2oUGDBmblw5YRIiIiG7Nv3z4MHDgQ3t7ekCQJmzZtKrHP4sWL4evrCycnJwQEBGD//v36befOnUPt2rUxaNAgdOjQoUIzp9apUwfu7u6QJAkPP/ww6tatq1/q1auH559/HpGRkWa9HraMEBERCVCqA6tWqzVYr9FoSr10kpeXB39/f4wdOxZDhw4tsX3t2rWYOHEiFi9ejK5du+Kzzz5DaGgozp49i0aNGuHOnTvYv38/kpOT0aBBA/Tr1w9BQUHo06dPqXnu2bMHsiyjd+/eWL9+vUFriqOjI3x8fODt7W36CQCLESIiIiFKFSMNGzY0WD99+nTMmDHD6DGhoaEIDQ0tNeaCBQvwwgsv4MUXXwQALFy4ENu3b8eSJUsQExODhx56CEFBQfrn7N+/P5KTk8ssRnr06AGgqONrw4YNoVJwlluTipGcnBxs3LgR+/fvx8WLF3Hz5k3Ur18f7du3R9++fREcHKxYYkRERLZAEuyEKv332IyMDLi6uurXV7RD6f0KCgpw/PhxTJ061WB9SEgIDh06BAAICgrCX3/9hevXr8PNzQ379u3DK6+8UqH4Pj4+AICbN28iPT0dBQUFBtvbtm1rcs4VKkYyMzPx7rvvYvXq1fD09ETHjh3Rrl07ODs7459//sGePXvw0UcfwcfHB9OnT0dYWJjJiRAREdkzV1dXg2LEXFevXkVhYSE8PDwM1nt4eCArKwsAUKNGDcyZMwfdu3eHLMsICQnBgAEDKhT/77//xtixY/Hjjz8a3V5YWGhyzhUqRvz9/TF69Gj8/PPPaN26tdF9bt26hU2bNmHBggXIyMjA5MmTTU6GiIjI1ljraBpJMowsy7LBuvIu9ZRm4sSJuH79Oo4cOYJevXph48aN+OuvvzB79mzMnz/frFwrVIycOXMG9evXL3MfZ2dnjBgxAiNGjMDff/9tVjLGNG7cGH/++WeJ9REREYiLiyuxfu/evejVq1eJ9SkpKXjkkUcUy4uIiAiwvhlY69WrB7VarW8FKZadnV2itcQcu3fvxubNmxEUFASVSgUfHx/06dMHrq6uiImJwRNPPGFyzAqdg/IKEdH9y5KUlITMzEz9kpCQAAB4+umnyzwuNTXV4LjmzZsrlhMREZHSgoKC4OfnZ/QPbVM4OjoiICBA//uyWEJCgiJ9O/Py8vTzibi7u+sbINq0aYMTJ06YFdOs0TSpqan49NNPkZKSAkmS8Mgjj+C1115DixYtzEqiLPcXNh988AGaNm2q79VbmgYNGqBOnTqK50NERHQvpVpGkpKSKtxnJDc3F+fPn9c/TktLQ3JyMtzd3dGoUSNERUVh1KhRCAwMRJcuXbBs2TKkp6dj3LhxApkWadGiBVJTU9G4cWO0a9cOn332GRo3boylS5fCy8vLrJgmFyPfffcdRowYoX+BAHDkyBG0bt0aX3/9dbktFiIKCgrw1VdfISoqqsS1sPu1b98et2/fhp+fH9555x2jl26K5efnIz8/X//4/rHeREREpZHk/42IMfd4Ux07dszg91pUVBQAIDw8HPHx8QgLC8O1a9cwa9YsZGZmonXr1ti2bZt+JIyIiRMnIjMzE0DR8OO+ffti9erVcHR0RHx8vFkxJVmWTToNTZo0wXPPPYdZs2YZrJ8+fTq+/PJL/PHHH2YlUhHffvstRo4cifT09FInVklNTcW+ffsQEBCA/Px8fPnll1i6dCn27t2L7t27Gz1mxowZmDlzZon1F3p3gUsNsalYas80bzY6A5IyVxQlB0fxIDXMG2pmFxR6n6DE2H1JLR5DKbLpPeuNUug1SYqcXyubvFptRVNGqazjs6e9kYsG7R5DTk6OIiNUjD6HVgs3Nzd87DUczioHs+Pc0t3BpMxvKzXXynTz5k389ttvaNSoEerVq2dWDJOLkZo1a+L06dNo1qyZwfpz587B398fN2/eNCuRiujbty8cHR3x/fffm3TcwIEDIUkStmzZYnS7sZaRhg0bshgxhsVI6ViMGMdipPKxGCmhKouRTxQoRibYcDGiBJN/onr27Gkwv32xAwcO6G+4Uxn+/PNP7Ny5Uz+bnCk6d+6Mc+fOlbpdo9Hox3crNc6biIjsg0qBxZYMGzYMH3zwQYn1H374odldNUwupwcNGoQ333wTx48fR+fOnQEU9RlZt24dZs6cadD6MGjQILOSMmbFihVo0KCBWUOGTp48aXanGiIiorKoBGdgFTnWEhITEzF9+vQS6/v164ePPvrIrJgmFyMREREAiu4GuHjxYqPbgKLJVsyZhc0YnU6HFStWIDw8HDXuu2wSHR2Ny5cvY9WqVQCK5t9v3LgxWrVqpe/wun79eqxfv16RXIiIiCpDUFAQ1Go1IiMjzb77bVXIzc2Fo2PJy/4ODg5mDwAxuRjR6XRmPZGInTt3Ij09Hc8//3yJbZmZmUhPT9c/LigowOTJk3H58mU4OzujVatW2Lp1K/r371+VKRMRkZ1QagZWU4b2WlLr1q2xdu1avPvuuwbrv/nmG/j5+ZkV04p6PZUuJCQEpfWzvX8Y0ZQpUzBlypQqyIqIiMj6ZmCtbNOmTcPQoUNx4cIF9O7dGwCwa9curFmzBuvWrTMrplnnYNeuXRgwYACaNm2KZs2aYcCAAdi5c6dZCRAREZHtGDRoEDZt2oTz588jIiICr7/+Oi5duoSdO3di8ODBZsU0uRiJjY1Fv3794OLiggkTJmD8+PFwdXVF//79ERsba1YSREREtqq4A6vIYmueeOIJHDx4EHl5ebh69Sp2795d7szoZTH5Mk1MTAw+/vhjvPrqq/p148ePR9euXfH+++8brCciIrIHlXXnXXthcsuIVqtFv379SqwPCQnhNOpERETVkLu7O65evQoAqFu3Ltzd3UtdzGHWPCMbN27EG2+8YbB+8+bNGDhwoFlJEBER2SoVZKhg/rWW4mOteWjvxx9/DBcXFwBFU2gorULFyKJFi/T/btmyJd5//33s3bvX4EZ5Bw8exOuvv654gkRERNZMqUnPrHlob3h4uNF/K6VCxcjHH39s8Lhu3bo4e/Yszp49q19Xp04dfPHFF3jnnXeUzZCIiIgsypRuGOYUVBUqRtLS0kwOTEREZA/sYZ6ROnXqQJLK7qYry7LZs6/bxKRnRERE1kqpGVit2Z49eyo1foWKkQ8++ACvvfYaatWqVe6+R48exdWrV826oR0REZGtUckyVKXMEl7R462dyBwiFVGhYuTs2bPw8fHB008/jUGDBiEwMBD169cHANy9exdnz57FgQMH8NVXXyEzM1N/0zoiIiKqfq5fv47ly5cjJSUFkiShZcuWGDt2bOUO7V21ahVOnz6NuLg4PPvss8jJyYFarYZGo8HNmzcBAO3bt8fLL7+M8PBwaDQas5KxNpKqaLE4lUJJSGoFYiiUi1KvyQI3biyV2sHSGehJSp1fJUhWdjVYVuAzo9jPpFI/Twr8bCtFbSXvdxXmYQ99Ru6VmJiIQYMGwc3NDYGBgQCKRt3OmjULW7ZsMasVpcLvVtu2bfHZZ59h6dKlOH36NC5evIhbt26hXr16aNeuHerVq2fykxMREdk6pfqMWPM8I/eKjIxEWFgYlixZArW6qBAuLCxEREQEIiMj8euvv5oc0+TSUZIk+Pv7w9/f3+QnIyIiIuOseZ6Re124cAHr16/XFyIAoFarERUVZXY3DVtrHSIiIrIqxTOwiiy2pEOHDkhJSSmxPiUlBe3atTMrppVc3CMiIrJNSs3AaivGjx+PCRMm4Pz58+jcuTOAopnY4+Li8MEHH+D06dP6fdu2bVuhmCxGiIiIqMJGjBgBAJgyZYrRbZIkmTwBGosRIiIiARJkSAKXWkSOtYTKmJWdxQgREZEACWIdMG1hBtZ7+fj4KB5TsWLkwoULeOmll7B7926lQhIREZGVKW/EzOjRo02OqVgxkpubi8TERKXCERER2QR7m/RswoQJBo/v3LmDmzdvwtHRETVr1qzcYmTRokVlbr98+bLJT05ERGTrlOozYiuTnl2/fr3EunPnzuE///kP3njjDbNiVrgYmThxIry8vODo6Gh0e0FBgVkJEBER2TKlWkZsZdIzY5o3b44PPvgAzz33HH777TeTj69wMeLj44O5c+di+PDhRrcnJycjICDA5ASIiIjI9qnValy5csWsYytcjAQEBOD48eOlFiPF44qJiIjsib0N7d2yZYvBY1mWkZmZidjYWHTt2tWsmBUuRmbNmqW/Q68xfn5+lTL2mIiIyJqJTulua9PBDx482OCxJEmoX78+evfujfnz55sVs8LFiJ+fX5nbHRwcKmXsMREREVkPnU6neExOekZERCRAJRUtIsfbOxYjlUyqYXz0kUlUCo1CVyvwdiuUi1RDo0gcufCuInGUICn1PilBUigXa3pNSv015ugsHkNXsfttlEvtoEwcJSj1s63UZ09QVeZhD31GoqKiKrzvggULTI7PYoSIiIjKdPLkSYPHx48fR2FhIVq0aAEA+P3336FWq80eVctihIiISIA9zMC6Z88e/b8XLFgAFxcXrFy5EnXr1gVQNBHa2LFj0a1bN7PiC52D27dvixxORERk8yRJFl5syfz58xETE6MvRACgbt26mD17ttmjaUwuRnQ6Hd577z08+OCDqF27Nv744w8AwLRp07B8+XKzkiAiIiLboNVq8ddff5VYn52djRs3bpgV0+RiZPbs2YiPj8e8efMMpoZv06YN/u///s+kWPv27cPAgQPh7e0NSZKwadMmg+2yLGPGjBnw9vaGs7MzevbsiTNnzpQbd/369fDz84NGo4Gfnx82btxoUl5EREQVpZJk4QUoujeNn58f4uLiLPyKyvbUU09h7Nix+O6773Dp0iVcunQJ3333HV544QUMGTLErJgmFyOrVq3CsmXL8Oyzz0KtVuvXt23b1uT56PPy8uDv74/Y2Fij2+fNm4cFCxYgNjYWSUlJ8PT0RJ8+fcqsvA4fPoywsDCMGjUKp06dwqhRozB8+HAcPXrUpNyIiIgqQlJgAYruTXP27FmrvkkeACxduhRPPPEEnnvuOfj4+MDHxwfPPvssQkNDsXjxYrNimtyB9fLly2jWrFmJ9TqdDnfu3DEpVmhoKEJDQ41uk2UZCxcuxNtvv62vtFauXAkPDw98/fXXeOWVV4wet3DhQvTp0wfR0dEAgOjoaCQmJmLhwoVYs2aNSfkRERGVR7qndcPc421JzZo1sXjxYnz44Ye4cOECZFlGs2bNUKtWLbNjmtwy0qpVK+zfv7/E+nXr1qF9+/ZmJ3K/tLQ0ZGVlISQkRL9Oo9GgR48eOHToUKnHHT582OAYAOjbt2+Zx+Tn50Or1RosREREVLpatWqhbdu28Pf3FypEADNaRqZPn45Ro0bh8uXL0Ol02LBhA1JTU7Fq1Sr88MMPQsncKysrCwDg4eFhsN7DwwN//vlnmccZO6Y4njExMTGYOXOmQLZERGSvREfE2FrLSGUwuWVk4MCBWLt2LbZt2wZJkvDuu+8iJSUF33//Pfr06aN4gpJkOE+uLMsl1okeEx0djZycHP2SkZFhfsJERGRXlOrAas/MmvSsb9++6Nu3r9K5GPD09ARQ1NLh5eWlX5+dnV2i5eP+4+5vBSnvGI1GA41GmenJiYiIyDQmt4wkJSUZHZly9OhRHDt2TJGkAMDX1xeenp5ISEjQrysoKEBiYiKCg4NLPa5Lly4GxwDAjh07yjyGiIjIXJIkvli7Dh064Pr16wCAWbNm4ebNm4rGN7kYiYyMNHoZ4/LlyyYPR8rNzUVycjKSk5MBFHVaTU5ORnp6OiRJwsSJEzFnzhxs3LgRv/76K8aMGYOaNWti5MiR+hijR4/Wj5wBgAkTJmDHjh2YO3cufvvtN8ydOxc7d+7ExIkTTX2pRERE5bKHGVhTUlKQl5cHAJg5cyZyc3MVjW/yZZqzZ8+iQ4cOJda3b98eZ8+eNSnWsWPH0KtXL/3j4rsChoeHIz4+HlOmTMGtW7cQERGB69evo1OnTtixYwdcXFz0x6Snp0N1z90mg4OD8c033+Cdd97BtGnT0LRpU6xduxadOnUy9aUSERERgHbt2mHs2LF49NFHIcsyPvroI9SuXdvovu+++67J8SVZlk0qyR544AH88MMP6NKli8H6Q4cO4YknntA349gyrVYLNzc3/PF4F7jUELuXYO33JoknpNRt3Gso0C9Grcy9FSUlcgEgF95VJI4SJKXeJyUodft0a3pNOp0ycRwU+OzpCsVjAIDaQZk4SlDovZaU+uwJ0t7IRf3W3ZCTkwNXV9fKeY7//q442LAvaqvMfy9zdXfQNWN7peYqKjU1FdOnT8eFCxdw4sQJ+Pn5oYaR34+SJOHEiRMmxzf5N0vxhGKbN2+Gm5sbAODff//FW2+9VSmjaYiIiKyZaL8PW+gz0qJFC3zzzTcAAJVKhV27dqFBgwaKxTe5GJk/fz66d+8OHx8f/SRnycnJ8PDwwJdffqlYYkRERGR9dEq1Ut7D5GLkwQcfxOnTp7F69WqcOnUKzs7OGDt2LEaMGAEHBytqclSCBDO6+FYCpd54JeKoy9+lIuS7+coEUuI1KXYpwho+LAqzqvOrkELTblthlFKXImTlv9TNplAqslKBBFXlJVx7nPTswoULWLhwIVJSUiBJElq2bIkJEyagadOmZsUzqwNArVq18PLLL5v1hERERNWJ6MRltjbp2fbt2zFo0CC0a9cOXbt2hSzLOHToEFq1amX2BKhmFSO///479u7di+zs7BLNNeb0oiUiIrJVkkqGpBJoGUHRsUFBQVCr1YiMjLTqO/dOnToVkyZNwgcffFBi/Ztvvlk1xcjnn3+O//znP6hXrx48PT0Nplkvnh6eiIiITJOUlGS1o2nulZKSgm+//bbE+ueffx4LFy40K6bJxcjs2bPx/vvv48033zTrCYmIiKoTCYKjaRTLpGrUr18fycnJaN68ucH65ORks0fYmFyMXL9+HU8//bRZT0ZERFTdSCqIXaaxrS4jeOmll/Dyyy/jjz/+QHBwMCRJwoEDBzB37ly8/vrrZsU0uRh5+umnsWPHDowbN86sJyQiIiLbNW3aNLi4uGD+/Pn627F4e3tjxowZGD9+vFkxTS5GmjVrhmnTpuHIkSNo06ZNieG85iZCRERki+xtaK8kSZg0aRImTZqEGzduAIDBbVrMYXIxsmzZMtSuXRuJiYlITEwskSCLESIisieS4NBeWytG7iVahBQzuRhJS0tT5ImJiIiIADPnGSEiIqIiRR1YBY633YYRxZhVjFy6dAlbtmxBeno6CgoKDLYtWLBAkcSIiIhsgb31GakMJhcju3btwqBBg+Dr64vU1FS0bt0aFy9ehCzL6NChQ2XkSERERFbgzp07CAkJwWeffYaHH35YsbgmNyxFR0fj9ddfx6+//gonJyesX78eGRkZ6NGjB+cfISIiu1M8HbzIYiscHBzw66+/Gsy+rgSTi5GUlBSEh4cDAGrUqIFbt26hdu3amDVrFubOnatockRERNZOksQXWzJ69GgsX75c0ZgmX6apVasW8vOLbv/u7e2NCxcuoFWrVgCAq1evKpocERGRtRO+UZ5sOy0jAFBQUID/+7//Q0JCAgIDA1GrVi2D7eb0HTW5GOncuTMOHjwIPz8/PPHEE3j99dfxyy+/YMOGDejcubPJCRAREZHt+PXXX/V9RH///XeDbeZevjG5GFmwYAFyc3MBADNmzEBubi7Wrl2LZs2a4eOPPzYriWpNJTDeq5ikFo8BAGrxkdxSDY0CiUCZ8wIAhXfFY4iMybuXUq9JqXyshUqpz68yYRRhbZ8ZBUhKvSYFvmeUIDkq8N1Q0eeys5aRPXv2KB7T5E9NkyZN9P+uWbMmFi9erGhCREREtkS034et9Rkpdv78eVy4cAHdu3eHs7MzZFk2u2XE5FK4SZMmuHbtWon1//77r0GhQkRERNXPtWvX8Nhjj+Hhhx9G//79kZmZCQB48cUXzb5rr8nFyMWLF1FYWFhifX5+Pi5fvmxWEkRERLbKnob2AsCkSZPg4OCA9PR01KxZU78+LCwMP/30k1kxK3yZZsuWLfp/b9++HW5ubvrHhYWF2LVrFxo3bmxWEkRERLZKkgSng9cpl0tV2LFjB7Zv346HHnrIYH3z5s3x559/mhWzwsXI4MGDART1lC2eZ6SYg4MDGjdujPnz55uVBBEREdmGvLw8gxaRYlevXoVGY94ghwrXcjqdDjqdDo0aNUJ2drb+sU6nQ35+PlJTUzFgwACzkiAiIrJVxfemEVkAICgoCH5+foiLi7PwKypb9+7dsWrVKv1jSZKg0+nw4YcfolevXmbFNHk0TVpaWol1//77L+rUqWNWAkRERLZM+K69/z02KSkJrq6uyiRViT788EP07NkTx44dQ0FBAaZMmYIzZ87gn3/+wcGDB82KafLpmzt3LtauXat//PTTT8Pd3R0PPvggTp06ZVYSREREZBv8/Pxw+vRpdOzYEX369EFeXh6GDBmCkydPomnTpmbFNLll5LPPPsNXX30FAEhISMDOnTvx008/4dtvv8Ubb7yBHTt2mJUIERGRLRKe9MzGRtMAgKenJ2bOnKlYPJOLkczMTDRs2BAA8MMPP2D48OEICQlB48aN0alTJ8USIyIisgVKXaaxJdevX8fy5cuRkpICSZLQsmVLjB07Fu7u7mbFM/kU1K1bFxkZGQCAn376CY8//jgAQJZlo/OPEBERVWuSLL7YkMTERPj6+mLRokW4fv06/vnnHyxatAi+vr5ITEw0K6bJLSNDhgzByJEj0bx5c1y7dg2hoaEAgOTkZDRr1sysJIiIiMg2REZGYvjw4ViyZAnU6qKbRhUWFiIiIgKRkZH49ddfTY5pcjHy8ccfo3HjxsjIyMC8efNQu3ZtAEWXbyIiIkxOgIiIyJbZ22WaCxcuYP369fpCBADUajWioqIMhvyawuRT4ODggMmTJ+OTTz5B+/bt9esnTpyIF1980aRY+/btw8CBA+Ht7Q1JkrBp0yb9tjt37uDNN99EmzZtUKtWLXh7e2P06NG4cuVKmTHj4+MhSVKJ5fbt2yblRkREVBHFxYjIYks6dOiAlJSUEutTUlLQrl07s2JWqGVky5YtCA0NhYODg8G08MYMGjSowk+el5cHf39/jB07FkOHDjXYdvPmTZw4cQLTpk2Dv78/rl+/jokTJ2LQoEE4duxYmXFdXV2RmppqsM7JyanCeREREdH/nD59Wv/v8ePHY8KECTh//jw6d+4MADhy5Aji4uLwwQcfmBW/QsXI4MGDkZWVhQYNGuinhTdGkiSTOrGGhobq+5zcz83NDQkJCQbrPv30U3Ts2BHp6elo1KhRmXl4enpWOA8iIiJz2cNlmnbt2kGSJMjy/zrbTpkypcR+I0eORFhYmMnxK1SM6HQ6o/+uajk5OZAkqdzZXnNzc+Hj44PCwkK0a9cO7733nsElpfvl5+cjPz9f/1ir1SqVMhERVXcqmNHp4b7jrZyx2deVZHIHVku5ffs2pk6dipEjR5Y5Xe4jjzyC+Ph4tGnTBlqtFp988gm6du2KU6dOoXnz5kaPiYmJUXTyFgMqh8qJaw61Armorewjo8SfFCqFvgmU+vNGpS5/H1tibX/2KfB+Swq9JllW5o87RfJR6ufAWj6/1pJHNeHj41Op8U36zaLT6RAfH48NGzbg4sWLkCQJvr6+GDZsGEaNGgVJkiolyTt37uCZZ56BTqfD4sWLy9y3c+fO+mtYANC1a1d06NABn376KRYtWmT0mOjoaERFRekfa7Va/cRuREREZZEkwcs0lfOrs1JdvnwZBw8e1N84917jx483OV6FixFZljFo0CBs27YN/v7+aNOmDWRZRkpKCsaMGYMNGzYYjIZRyp07dzB8+HCkpaVh9+7dJt9ESKVSISgoCOfOnSt1H41GY/Ztj4mIyM7ZwWWae61YsQLjxo2Do6MjHnjgAYOGCEmSKrcYiY+Px759+7Br164StwjevXs3Bg8ejFWrVmH06NEmJ1Ga4kLk3Llz2LNnDx544AGTY8iyjOTkZLRp00axvIiIiOzVu+++i3fffRfR0dFQKXR5r8JR1qxZg7feeqtEIQIAvXv3xtSpU7F69WqTnjw3NxfJyclITk4GUNRBJjk5Genp6bh79y6GDRuGY8eOYfXq1SgsLERWVhaysrJQUFCgjzF69GhER0frH8+cORPbt2/HH3/8geTkZLzwwgtITk7GuHHjTMqNiIioQkTnGLGxlpGbN2/imWeeUawQAUw4BadPn0a/fv1K3R4aGopTp06Z9OTHjh1D+/bt9SNdoqKi0L59e7z77ru4dOkStmzZgkuXLqFdu3bw8vLSL4cOHdLHSE9PR2Zmpv7xv//+i5dffhktW7ZESEgILl++jH379qFjx44m5UZERFQhKgUWG/LCCy9g3bp1isaU5HsHDZfB0dERf/75J7y8vIxuv3LlCnx9fQ2GyNoqrVYLNzc3/NGnC1wcxEaP1H5/qkJZKcDRWTiE5Ghlk8cV3hWPwdE0lYujaUpVLUfTKDFqTwHaG7mo36IjcnJyTO5rWOHn+O/viosDu8JV4HeF9s5dNP7+YKXmqqTCwkIMGDAAt27dQps2beDgYPieL1iwwOSYFT57hYWFqFGj9N3VajXu3lXgFwMRERFZrTlz5mD79u1o0aIFAJTowGoOk0bTjBkzptRRJ9WhRYSIiMhkdjaaZsGCBfjiiy8wZswYxWJWuBgJDw8vdx8lR9IQERHZAkklQVKZP1mIyLGWoNFo0LVrV0VjVrgYWbFihaJPTERERLZnwoQJZU4kag4rm9ubiIjIxtjZZZqff/4Zu3fvxg8//IBWrVqV6MC6YcMGk2OyGCEiIhKhkooWkeNtSJ06dTBkyBBFY7IYISIiogqrjG4bLEaIiIgESJJgB1ZbvFOewliMEBERibCzPiO+vr5lFlB//PGHyTFZjBAREVGFTZw40eDxnTt3cPLkSfz000944403zIrJYoSIiEiEnXVgnTBhgtH1cXFxOHbsmFkxWYyUQX9HxepCLlQghjL30lDsxCqSjzXlAgAK3JtGp8B7DShznxzFzotCFEhHrk7fC8V0Sv1sW8n3TOEd8RgVZG+TnpUmNDQU0dHRZnVwZTFCREQkws5aRkrz3Xffwd3d3axjWYwQERHZoRo1aqB169YAgMDAQPzf//1fhY5r3769QQdWWZaRlZWFv//+G4sXLzYvF7OOIiIioiI22jJSp04dJCcnm3zc4MGDDR6rVCrUr18fPXv2xCOPPGJWLixGiIiIBEiSJDRXiK3NMzJ9+nTFY1bHblhERETV2r59+zBw4EB4e3tDkiRs2rSpxD6LFy+Gr68vnJycEBAQgP379xts12q1CAgIwKOPPorExMQqytw4FiNEREQiii/TiCwoKg7uXfLz80t9yry8PPj7+yM2Ntbo9rVr12LixIl4++23cfLkSXTr1g2hoaFIT0/X73Px4kUcP34cS5cuxejRo6HVast+mSoV1Gp1mUuNGuZdcOFlGiIiIhEqCPYZKfpfw4YNDVZPnz4dM2bMMHpIaGgoQkNDSw25YMECvPDCC3jxxRcBAAsXLsT27duxZMkSxMTEAAC8vb0BAK1bt4afnx9+//13BAYGlhpz48aNpW47dOgQPv30U8iyXOo+ZWExQkREZAUyMjLg6uqqf6zRaMyKU1BQgOPHj2Pq1KkG60NCQnDo0CEAwPXr11GzZk1oNBpcunQJZ8+eRZMmTcqM++STT5ZY99tvvyE6Ohrff/89nn32Wbz33ntm5cxihIiISIRKVbSIHA/A1dXVoBgx19WrV1FYWAgPDw+D9R4eHsjKygIApKSk4JVXXoFKpYIkSfjkk09MmiPkypUrmD59OlauXIm+ffsiOTlZP0zYHCxGiIiIREiCQ3sraTTN/aN0ZFnWrwsODsYvv/xicsycnBzMmTMHn376Kdq1a4ddu3ahW7duwrmyGCEiIqpG6tWrB7VarW8FKZadnV2itcQU8+bNw9y5c+Hp6Yk1a9YYvWxjLhYjREREApS6N01QUBDUajUiIyMRGRlpdjxHR0cEBAQgISEBTz31lH59QkKCUAExdepUODs7o1mzZli5ciVWrlxpdL8NGzaYHJvFCBERkQiFZmBNSkqqcJ+R3NxcnD9/Xv84LS0NycnJcHd3R6NGjRAVFYVRo0YhMDAQXbp0wbJly5Ceno5x48aZnebo0aMrbYI2FiNEREQiRG/xbsaxx44dQ69evfSPo6KiAADh4eGIj49HWFgYrl27hlmzZiEzMxOtW7fGtm3b4OPjY3aa8fHxZh9bHhYjRERENqZnz57lzukRERGBiIiIKspIDIsRIiIiETZ6ozxrwmKkssk68RgizX/VnVqBj7BOgfcIUCYXACi8Ix5D7SAew9rw56BUsgLfM5JS57fwrngMJX6WqvLzwmJEGH+6iYiIyKJYjBAREQmQVCrhBSga2uvn54e4uDgLv6Kqx8s0REREIiwwtLe6YcsIERERWZRFi5F9+/Zh4MCB8Pb2hiRJ2LRpk8H2MWPGQJIkg6Vz587lxl2/fj38/Pyg0Wjg5+dX5m2PiYiIhBTPMyKy2DmLnoG8vDz4+/sjNja21H369euHzMxM/bJt27YyYx4+fBhhYWEYNWoUTp06hVGjRmH48OE4evSo0ukTERH97zKNyGLnLNpnJDQ0FKGhoWXuo9Fo4OnpWeGYCxcuRJ8+fRAdHQ0AiI6ORmJiIhYuXIg1a9YI5UtERETKs/q2ob1796JBgwZ4+OGH8dJLLyE7O7vM/Q8fPoyQkBCDdX379sWhQ4dKPSY/Px9ardZgISIiqhBJBagEFl6mse5iJDQ0FKtXr8bu3bsxf/58JCUloXfv3sjPzy/1mKysrBK3SPbw8ChxK+V7xcTEwM3NTb80bNhQsddARETVnEKXaTi010qFhYXp/926dWsEBgbCx8cHW7duxZAhQ0o97v67CsqyXOadBqOjo/U3GQIArVbLgoSIiCpGkgRvlMehvVZdjNzPy8sLPj4+OHfuXKn7eHp6lmgFyc7OLtFaci+NRgONRqNYnkRERFRxVn2Z5n7Xrl1DRkYGvLy8St2nS5cuSEhIMFi3Y8cOBAcHV3Z6RERkjziaRphFW0Zyc3Nx/vx5/eO0tDQkJyfD3d0d7u7umDFjBoYOHQovLy9cvHgRb731FurVq4ennnpKf8zo0aPx4IMPIiYmBgAwYcIEdO/eHXPnzsWTTz6JzZs3Y+fOnThw4ECVvz4iIqr+7p3S3dzj7Z1Fi5Fjx46hV69e+sfF/TbCw8OxZMkS/PLLL1i1ahX+/fdfeHl5oVevXli7di1cXFz0x6Snp0N1zxsZHByMb775Bu+88w6mTZuGpk2bYu3atejUqVPVvTAiIiKqMIsWIz179oQsy6Vu3759e7kx9u7dW2LdsGHDMGzYMJHUiIiIKkahe9PYM5vqwEpERGR1RKd05zwjttWBlYiIqLriPCNUedQKnGKlqmZJrUwcJagUyqVQJx5DifdISWoH8RjV8S8tpTr56RT4zChEsqb3yZp+DpT4flDqO6ZCz6XMZRrOM0JERETmKZ7WXeR4O8czQERERBbFlhEiIiIRkqSf0t3s4+0cixEiIiIRkuBlGmvqO2QhLEaIiIhEsM+IMJ4BIiIisii2jBAREYngDKzC2DJCREQkQpL+NwurWUtRMcJJz4iIiMiiOOkZERERmYcdWIWxGCEiIhIgqSRIAv0+RI6tLliOERERkUWxZYSIiEhEcUdUkePtHIsRIiIiEewzIoxngIiIiCyKLSNEREQi2DIijMVIWURn1VOK2kGRMJJagbdbqWub1hRHpRaPAVjVdV9F3muFyLLO0ikYUOTcKHV+lTo3VvTZU+r7SlhVnhPetVeY9XxjERER2SK2jAjjGSAiIiKLYjFCREQkROS+NCoU/yrmvWmIiIjIPApdprHne9OwZYSIiIgsii0jREREIlSSYMsIR9OwGCEiIhLBob3CeJmGiIiILIotI0RERCI4z4gwFiNEREQiWIwI4xkgIiIii2LLCBERkQj95GUCx9s5FiNEREQieJlGmEXPwL59+zBw4EB4e3tDkiRs2rTJYLskSUaXDz/8sNSY8fHxRo+5fft2Jb8aIiKySyJTwYu2qlQTFj0DeXl58Pf3R2xsrNHtmZmZBssXX3wBSZIwdOjQMuO6urqWONbJyakyXgIREREJsuhlmtDQUISGhpa63dPT0+Dx5s2b0atXLzRp0qTMuJIklTiWiIioUvAyjTCbOQN//fUXtm7dihdeeKHcfXNzc+Hj44OHHnoIAwYMwMmTJ8vcPz8/H1qt1mAhIiKqEF6mEWYzHVhXrlwJFxcXDBkypMz9HnnkEcTHx6NNmzbQarX45JNP0LVrV5w6dQrNmzc3ekxMTAxmzpxZGWkro/COImFkBWJI1lbByzrxGAqEKFKoTBiVWjiEfLdAgUQUYmVftLIC6UiFd8WDKMmaTrEC31eSg0Y8hrV9V1VAUFAQ1Go1IiMjERkZael0qpTNFCNffPEFnn322XL7fnTu3BmdO3fWP+7atSs6dOiATz/9FIsWLTJ6THR0NKKiovSPtVotGjZsqEziRERUvSl0mSYpKQmurq4KJWVbbKIY2b9/P1JTU7F27VqTj1WpVAgKCsK5c+dK3Uej0UCjEa/EiYjIDkmCd+3ljfKsqnGvVMuXL0dAQAD8/f1NPlaWZSQnJ8PLy6sSMiMiIiJRFm0Zyc3Nxfnz5/WP09LSkJycDHd3dzRq1AhA0SWTdevWYf78+UZjjB49Gg8++CBiYmIAADNnzkTnzp3RvHlzaLVaLFq0CMnJyYiLi6v8F0RERPaHM7AKs2gxcuzYMfTq1Uv/uLjfRnh4OOLj4wEA33zzDWRZxogRI4zGSE9Ph+qe5rF///0XL7/8MrKysuDm5ob27dtj37596NixY+W9ECIisl8c2itMkmVZiUEW1YpWq4WbmxvSQoPh4iBWr9V6L1o8IaWqZrWDcAjJwVGBRADUUKiPzt188RjW9leJAqNprIrVnV/xfKRq+JoUo8C5UWI0jfZGLuo164CcnJxK6xRa/Lsia9MCuNZyNj9O3i14Do6q1FytnU10YCUiIrJavEwjjMUIERGRCF6mEcZihIiISARbRoTxDBAREZFFsWWEiIhIBC/TCGMxQkREJECS1JAk80fBiRxbXbAcIyIiIotiywgREZEIleC9aVS8Nw2LESIiIhHsMyKMZ4CIiIgsii0jREREIjjPiDAWI2UR/HwBUOQeLJJSTXg1FLivjAL3jACUu7eHIjdWUuj8Smr+OBlVHb9olbp/kBWdG8W+Z6zlNUlV2A9DErxMYy3nzIJ4BoiIiMii+KccERGRCF6mEcYzQEREJEKlFl8ABAUFwc/PD3FxcRZ+QVWPLSNEREQiFGoZSUpKgqurq0JJ2Ra2jBAREZFFsWWEiIhIBCc9E8ZihIiISAQ7sArjGSAiIiKLYssIERGRAElSQZLMnwhPqUkgbRmLESIiIhHsMyKMZ4CIiIgsii0jREREItiBVRiLESIiIhG8TCOMZ4CIiIgsii0jREREIniZRhiLESIiIhH33OzO7OPtHIsRW8CquXRKXGvV6cRjAICkUBxrek1KUOrjq9TPgazEuVHol0fhHWXiqB2UiaMEJc6vrX3nsWVEGM8AERERWRRbRoiIiERIgqNp2DLCYoSIiEiEJElCU7pLkqRgNraJ5RgRERFZlEWLkZiYGAQFBcHFxQUNGjTA4MGDkZqaarCPLMuYMWMGvL294ezsjJ49e+LMmTPlxl6/fj38/Pyg0Wjg5+eHjRs3VtbLICIie1Y86ZnIYucsegYSExMRGRmJI0eOICEhAXfv3kVISAjy8vL0+8ybNw8LFixAbGwskpKS4OnpiT59+uDGjRulxj18+DDCwsIwatQonDp1CqNGjcLw4cNx9OjRqnhZRERkT4pH04gsdk6SZVm2dBLF/v77bzRo0ACJiYno3r07ZFmGt7c3Jk6ciDfffBMAkJ+fDw8PD8ydOxevvPKK0ThhYWHQarX48ccf9ev69euHunXrYs2aNeXmodVq4ebmhrQnguHqINatpub7M4SOBwBJrVDXHiXiOGjEY0C5W2bLSgwjVGgYrGLvU7Ub2qvQF601De1VaiitrlCZOArkI1nTX+cKvNfaGzdQr2l75OTkwNXVVYGkjDzHf39X/P1LIlxdapsf50Yu6rfpUam5Wjsr+vQBOTk5AAB3d3cAQFpaGrKyshASEqLfR6PRoEePHjh06FCpcQ4fPmxwDAD07du31GPy8/Oh1WoNFiIiogopnvRMZLFzVlOMyLKMqKgoPProo2jdujUAICsrCwDg4eFhsK+Hh4d+mzFZWVkmHRMTEwM3Nzf90rBhQ5GXQkRE9oSXaYRZzRl49dVXcfr0aaOXUe4f9iTLcrlDoUw5Jjo6Gjk5OfolIyPDxOyJiIjIXFYxz8hrr72GLVu2YN++fXjooYf06z09PQEUtXR4eXnp12dnZ5do+biXp6dniVaQso7RaDTQaJTpC0FERHZGdESMNfXXsRCLngFZlvHqq69iw4YN2L17N3x9fQ22+/r6wtPTEwkJCfp1BQUFSExMRHBwcKlxu3TpYnAMAOzYsaPMY4iIiMwhSSrhxd5ZtGUkMjISX3/9NTZv3gwXFxd9a4abmxucnZ0hSRImTpyIOXPmoHnz5mjevDnmzJmDmjVrYuTIkfo4o0ePxoMPPoiYmBgAwIQJE9C9e3fMnTsXTz75JDZv3oydO3fiwIEDFnmdRERUjbFlRJhFi5ElS5YAAHr27GmwfsWKFRgzZgwAYMqUKbh16xYiIiJw/fp1dOrUCTt27ICLi4t+//T0dKjueTODg4PxzTff4J133sG0adPQtGlTrF27Fp06dar010RERESmsap5RqwF5xkpA+cZKRXnGSkF5xkpHecZMc7G5hm5ev6E8Dwj9Zp1sOt5RqyiAysREZHNUqnE5gqxpkLQQliMGFHcWHTjzl3hWHdz88rfqRzK/cWtRMvIHfEYYMtImdgyYhxbRkpX7VpGxO9ie+NGLoD/fZ9XJu1/n8tSx1cHvExjxKVLlzjxGRFRNZCRkWEwZYSSbt++DV9f3zIn4awoT09PpKWlwcnJSYHMbA+LESN0Oh2uXLkCFxeXUidK02q1aNiwITIyMuz2Gl9l4vmtXDy/lYvnt3JV5PzKsowbN27A29vbYICD0m7fvo2CggLhOI6OjnZbiAC8TGOUSqWqcCXt6urKL5tKxPNbuXh+KxfPb+Uq7/y6ublVeg5OTk52XUQoxYouEhIREZE9YjFCREREFsVixEwajQbTp0/nPW0qCc9v5eL5rVw8v5WL57f6YQdWIiIisii2jBAREZFFsRghIiIii2IxQkRERBbFYoSIiIgsisWImRYvXgxfX184OTkhICAA+/fvt3RK1cKMGTMgSZLB4unpaem0bNa+ffswcOBAeHt7Q5IkbNq0yWC7LMuYMWMGvL294ezsjJ49e+LMmTOWSdYGlXd+x4wZU+Lz3LlzZ8ska2NiYmIQFBQEFxcXNGjQAIMHD0ZqaqrBPvz8Vh8sRsywdu1aTJw4EW+//TZOnjyJbt26ITQ0FOnp6ZZOrVpo1aoVMjMz9csvv/xi6ZRsVl5eHvz9/REbG2t0+7x587BgwQLExsYiKSkJnp6e6NOnD27cuFHFmdqm8s4vAPTr18/g87xt27YqzNB2JSYmIjIyEkeOHEFCQgLu3r2LkJAQ5OX97+aj/PxWIzKZrGPHjvK4ceMM1j3yyCPy1KlTLZRR9TF9+nTZ39/f0mlUSwDkjRs36h/rdDrZ09NT/uCDD/Trbt++Lbu5uclLly61QIa27f7zK8uyHB4eLj/55JMWyae6yc7OlgHIiYmJsizz81vdsGXERAUFBTh+/DhCQkIM1oeEhODQoUMWyqp6OXfuHLy9veHr64tnnnkGf/zxh6VTqpbS0tKQlZVl8FnWaDTo0aMHP8sK2rt3Lxo0aICHH34YL730ErKzsy2dkk3KyckBALi7uwPg57e6YTFioqtXr6KwsBAeHh4G6z08PBS5jbS969SpE1atWoXt27fj888/R1ZWFoKDg3Ht2jVLp1btFH9e+VmuPKGhoVi9ejV2796N+fPnIykpCb1790Z+fr6lU7MpsiwjKioKjz76KFq3bg2An9/qhnftNZMkSQaPZVkusY5MFxoaqv93mzZt0KVLFzRt2hQrV65EVFSUBTOrvvhZrjxhYWH6f7du3RqBgYHw8fHB1q1bMWTIEAtmZlteffVVnD59GgcOHCixjZ/f6oEtIyaqV68e1Gp1ico7Ozu7RIVO4mrVqoU2bdrg3Llzlk6l2ikepcTPctXx8vKCj48PP88meO2117Blyxbs2bMHDz30kH49P7/VC4sREzk6OiIgIAAJCQkG6xMSEhAcHGyhrKqv/Px8pKSkwMvLy9KpVDu+vr7w9PQ0+CwXFBQgMTGRn+VKcu3aNWRkZPDzXAGyLOPVV1/Fhg0bsHv3bvj6+hps5+e3euFlGjNERUVh1KhRCAwMRJcuXbBs2TKkp6dj3Lhxlk7N5k2ePBkDBw5Eo0aNkJ2djdmzZ0Or1SI8PNzSqdmk3NxcnD9/Xv84LS0NycnJcHd3R6NGjTBx4kTMmTMHzZs3R/PmzTFnzhzUrFkTI0eOtGDWtqOs8+vu7o4ZM2Zg6NCh8PLywsWLF/HWW2+hXr16eOqppyyYtW2IjIzE119/jc2bN8PFxUXfAuLm5gZnZ2dIksTPb3Vi0bE8NiwuLk728fGRHR0d5Q4dOuiHm5GYsLAw2cvLS3ZwcJC9vb3lIUOGyGfOnLF0WjZrz549MoASS3h4uCzLRcMjp0+fLnt6esoajUbu3r27/Msvv1g2aRtS1vm9efOmHBISItevX192cHCQGzVqJIeHh8vp6emWTtsmGDuvAOQVK1bo9+Hnt/qQZFmWq74EIiIiIirCPiNERERkUSxGiIiIyKJYjBAREZFFsRghIiIii2IxQkRERBbFYoSIiIgsisUIERERWRSLESIiIrIoFiNElUCSJGzatMnSaViVUaNGYc6cOfrHjRs3xsKFC4ViZmdno379+rh8+bJgdkRkSSxGiCpozJgxkCQJkiTBwcEBHh4e6NOnD7744gvodDqDfTMzMxEaGlqhuLZUuHz++efo1q0b6tati7p16+Lxxx/Hzz//XO5xp0+fxtatW/Haa68pmk+DBg0watQoTJ8+XdG4RFS1WIwQmaBfv37IzMzExYsX8eOPP6JXr16YMGECBgwYgLt37+r38/T0hEajsWCmlWPv3r0YMWIE9uzZg8OHD6NRo0YICQkpt2UiNjYWTz/9NFxcXBTPaezYsVi9ejWuX7+ueGwiqhosRohMoNFo4OnpiQcffBAdOnTAW2+9hc2bN+PHH39EfHy8fr97WzsKCgrw6quvwsvLC05OTmjcuDFiYmIAFF2qAICnnnoKkiTpH1+4cAFPPvkkPDw8ULt2bQQFBWHnzp0GuTRu3Bhz5szB888/DxcXFzRq1AjLli0z2OfSpUt45pln4O7ujlq1aiEwMBBHjx7Vb//+++8REBAAJycnNGnSBDNnzjQoqu63evVqREREoF27dnjkkUfw+eefQ6fTYdeuXaUeo9PpsG7dOgwaNKjEths3bmDkyJGoXbs2vL298emnnxpslyQJS5YsQWhoKJydneHr64t169YZ7NOmTRt4enpi48aNpeZARNaNxQiRoN69e8Pf3x8bNmwwun3RokXYsmULvv32W6SmpuKrr77SFx1JSUkAgBUrViAzM1P/ODc3F/3798fOnTtx8uRJ9O3bFwMHDkR6erpB7Pnz5yMwMBAnT55EREQE/vOf/+C3337Tx+jRoweuXLmCLVu24NSpU5gyZYr+ktL27dvx3HPPYfz48Th79iw+++wzxMfH4/3336/wa7958ybu3LkDd3f3Uvc5ffo0/v33XwQGBpbY9uGHH6Jt27Y4ceIEoqOjMWnSJCQkJBjsM23aNAwdOhSnTp3Cc889hxEjRiAlJcVgn44dO2L//v0VzpuIrIylbxtMZCvCw8PlJ5980ui2sLAwuWXLlvrHAOSNGzfKsizLr732mty7d29Zp9MZPfbefcvi5+cnf/rpp/rHPj4+8nPPPad/rNPp5AYNGshLliyRZVmWP/vsM9nFxUW+du2a0XjdunWT58yZY7Duyy+/lL28vMrNpVhERITctGlT+datW6Xus3HjRlmtVpd4/T4+PnK/fv0M1oWFhcmhoaH6xwDkcePGGezTqVMn+T//+Y/BukmTJsk9e/ascN5EZF3YMkKkAFmWIUmS0W1jxoxBcnIyWrRogfHjx2PHjh3lxsvLy8OUKVPg5+eHOnXqoHbt2vjtt99KtIy0bdtW/29JkuDp6Yns7GwAQHJyMtq3b19qq8Xx48cxa9Ys1K5dW7+89NJLyMzMxM2bN8vNcd68eVizZg02bNgAJyenUve7desWNBqN0fPTpUuXEo/vb/WoyD7Ozs4VypmIrFMNSydAVB2kpKTA19fX6LYOHTogLS0NP/74I3bu3Inhw4fj8ccfx3fffVdqvDfeeAPbt2/HRx99hGbNmsHZ2RnDhg1DQUGBwX4ODg4GjyVJ0l+GcXZ2LjNnnU6HmTNnYsiQISW2lVVcAMBHH32EOXPmYOfOnQYFkTH16tXDzZs3UVBQAEdHxzL3BVBqUVfWPv/88w/q169f7nFEZJ3YMkIkaPfu3fjll18wdOjQUvdxdXVFWFgYPv/8c6xduxbr16/HP//8A6CooCgsLDTYf//+/RgzZgyeeuopfQfNixcvmpRX27ZtkZycrH+e+3Xo0AGpqalo1qxZiUWlKv2r4cMPP8R7772Hn376yWg/kPu1a9cOAHD27NkS244cOVLi8SOPPGLyPr/++ivat29fbi5EZJ3YMkJkgvz8fGRlZaGwsBB//fUXfvrpJ8TExGDAgAEYPXq00WM+/vhjeHl5oV27dlCpVFi3bh08PT1Rp04dAEWjYnbt2oWuXbtCo9Ggbt26aNasGTZs2ICBAwdCkiRMmzatxFwm5RkxYgTmzJmDwYMHIyYmBl5eXjh58iS8vb3RpUsXvPvuuxgwYAAaNmyIp59+GiqVCqdPn8Yvv/yC2bNnG405b948TJs2DV9//TUaN26MrKwsANBf5jGmfv366NChAw4cOKAvTIodPHgQ8+bNw+DBg5GQkIB169Zh69atBvusW7cOgYGBePTRR7F69Wr8/PPPWL58uX77zZs3cfz4cYMJ1YjIxli60wqRrQgPD5cByADkGjVqyPXr15cff/xx+YsvvpALCwsN9sU9nVKXLVsmt2vXTq5Vq5bs6uoqP/bYY/KJEyf0+27ZskVu1qyZXKNGDdnHx0eWZVlOS0uTe/XqJTs7O8sNGzaUY2Nj5R49esgTJkzQH+fj4yN//PHHBs/r7+8vT58+Xf/44sWL8tChQ2VXV1e5Zs2acmBgoHz06FH99p9++kkODg6WnZ2dZVdXV7ljx47ysmXLSj0HPj4++nNw73LvcxqzdOlSuXPnziVizZw5Ux4+fLhcs2ZN2cPDQ164cGGJ8xgXFyf36dNH1mg0so+Pj7xmzRqDfb7++mu5RYsWZT4/EVk3SZZl2WKVEBHZhdu3b6NFixb45ptvSnRILYskSdi4cSMGDx5c6j4dO3bExIkTMXLkSAUyJSJLYJ8RIqp0Tk5OWLVqFa5evapo3OzsbAwbNgwjRoxQNC4RVS22jBCR1apIywgR2T52YCUiq8W/lYjsAy/TEBERkUWxGCEiIiKLYjFCREREFsVihIiIiCyKxQgRERFZFIsRIiIisigWI0RERGRRLEaIiIjIov4fuuCoVM8SdUIAAAAASUVORK5CYII=", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 173, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "aiden11_df = read_pairs('../Data/aidenDekker2009/GM_HindIII_S1R1.pairs.gz')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 174, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "aiden11_dup_dists = calculate_dup_dists(aiden11_df)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 175, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_aiden11 = aiden11_dup_dists[['dist1', 'dist2']].value_counts().sort_index()\n", | |
| "counts_2d = counts_aiden11.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 176, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 177, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "aidenNcoI_df = read_pairs('../Data/aidenDekker2009/GM_NcoI_R1.pairs.gz')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 178, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "aidenNcoI_dup_dists = calculate_dup_dists(aidenNcoI_df)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 179, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_aidenNcoI = aidenNcoI_dup_dists[['dist1', 'dist2']].value_counts().sort_index()\n", | |
| "counts_2d = counts_aidenNcoI.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 180, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 78, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "RN2_df = read_pairs('../Data/RN2/RN2_test_1ul_plus.pairs.gz')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 80, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "RN2_df = RN2_df.sample(int(1e7))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 83, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "RN2_dup_dists = calculate_dup_dists(RN2_df, rs=50)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 84, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_RN2 = RN2_dup_dists[['dist1', 'dist2']].value_counts().sort_index()\n", | |
| "counts_2d = counts_RN2.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 85, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 51, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "harewood_df = read_pairs('../Data/harewoodFraser2017/SRR3586206.mm10.pairs.gz')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 69, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "harewood_df = harewood_df[harewood_df['chrom1'].isin(['chr1', 'chr2', 'chr3', 'chr4', 'chr5', 'chr6', 'chr7', 'chr8', 'chr9', 'chr10', 'chr11', 'chr12', 'chr13', 'chr14', 'chr15', 'chr16', 'chr17', 'chr18', 'chr19', 'chrX', 'chrY']) & \\\n", | |
| " harewood_df['chrom2'].isin(['chr1', 'chr2', 'chr3', 'chr4', 'chr5', 'chr6', 'chr7', 'chr8', 'chr9', 'chr10', 'chr11', 'chr12', 'chr13', 'chr14', 'chr15', 'chr16', 'chr17', 'chr18', 'chr19', 'chrX', 'chrY'])]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 70, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "harewood_df_sample = harewood_df.sample(int(1e7))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 71, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "harewood_dup_dists_5 = calculate_dup_dists(harewood_df_sample, cols=['pos51', 'pos52'], rs=50)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 72, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_harewood_5 = harewood_dup_dists_5[['dist1', 'dist2']].value_counts().sort_index()\n", | |
| "counts_2d_harewood_5 = counts_harewood_5.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 73, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_harewood_5,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 74, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "harewood_dup_dists_3 = calculate_dup_dists(harewood_df_sample, cols=['pos31', 'pos32'], rs=50)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 75, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_harewood_3 = harewood_dup_dists_3[['dist1', 'dist2']].value_counts().sort_index()\n", | |
| "counts_2d_harewood_3 = counts_harewood_3.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 76, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_harewood_3,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 87, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "ghurie_df = read_pairs('../Data/ghurieKoren2019/SRR6675327.hg19.pairs.gz').sample(int(1e7))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 88, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "ghurie_df = ghurie_df[ghurie_df['chrom1'].isin(['chr1', 'chr2', 'chr3', 'chr4', 'chr5', 'chr6', 'chr7', 'chr8', 'chr9', 'chr10', 'chr11', 'chr12', 'chr13', 'chr14', 'chr15', 'chr16', 'chr17', 'chr18', 'chr19', 'chr20', 'chr21', 'chr22', 'chrX', 'chrY']) & \\\n", | |
| " ghurie_df['chrom2'].isin(['chr1', 'chr2', 'chr3', 'chr4', 'chr5', 'chr6', 'chr7', 'chr8', 'chr9', 'chr10', 'chr11', 'chr12', 'chr13', 'chr14', 'chr15', 'chr16', 'chr17', 'chr18', 'chr19', 'chr20', 'chr21', 'chr22', 'chrX', 'chrY'])]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 93, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "ghurie_dup_dists_5 = calculate_dup_dists(ghurie_df, cols=['pos51', 'pos52'], rs=50)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 99, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_ghurie_5 = ghurie_dup_dists_5[['dist1', 'dist2']].value_counts().sort_index()\n", | |
| "counts_2d_ghurie_5 = counts_ghurie_5.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 100, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_ghurie_5,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 96, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "ghurie_dup_dists_3 = calculate_dup_dists(ghurie_df, cols=['pos31', 'pos32'], rs=50)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 101, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_ghurie_3 = ghurie_dup_dists_3[['dist1', 'dist2']].value_counts().sort_index()\n", | |
| "counts_2d_ghurie_3 = counts_ghurie_3.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 102, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_ghurie_3,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 63, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "abed_df = read_pairs('../Data/abedWu2019/SRR80558291.dm6.pairs.gz')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 64, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "abed_df = abed_df[abed_df['chrom1'].isin(['chr2L', 'chr2R', 'chr3L', 'chr3R', 'chr4', 'chrX']) & abed_df['chrom2'].isin(['chr2L', 'chr2R', 'chr3L', 'chr3R', 'chr4', 'chrX'])]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 65, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# fake_dups = abed_df.sample(frac=0.1)\n", | |
| "# fake_dups['pos1'] = fake_dups['pos1']+np.random.randint(-3, 3, size=fake_dups.shape[0])\n", | |
| "# fake_dups['pos2'] = fake_dups['pos2']+np.random.randint(-3, 3, size=fake_dups.shape[0])\n", | |
| "# abed_df = pd.concat([abed_df, fake_dups])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 66, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "abed_dup_dists = calculate_dup_dists(abed_df, rs=50)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 67, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_abed = abed_dup_dists[['dist1', 'dist2']].value_counts().sort_index()\n", | |
| "counts_2d_abed = counts_abed.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 68, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_abed,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 21, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "abed_dup_dists_5 = calculate_dup_dists(abed_df, cols=['pos51', 'pos52'], rs=50)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_abed_5 = abed_dup_dists_5[['dist1', 'dist2']].value_counts().sort_index()\n", | |
| "counts_2d_abed_5 = counts_abed_5.reset_index().pivot(index='dist1', columns='dist2', values='count')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 25, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 2 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "f, ax = plt.subplots()\n", | |
| "im = ax.imshow(counts_2d_abed_5,\n", | |
| " norm=LogNorm(),\n", | |
| " # vmax=3e5,\n", | |
| " cmap='rocket_r',\n", | |
| " )\n", | |
| "cb = plt.colorbar(im, ax=ax)\n", | |
| "# ax.set_xticks(np.arange(0, 21, 2))\n", | |
| "# ax.set_yticks(np.arange(0, 21, 2))\n", | |
| "ax.set_ylabel('Distance 1 (bp)')\n", | |
| "ax.set_xlabel('Distance 2 (bp)')\n", | |
| "cb.set_label('Number of duplicates')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 36, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "counts_2d_abed.sum(axis=1).plot(label='Distance 1')\n", | |
| "counts_2d_abed.sum(axis=0).plot(label='Distance 2')\n", | |
| "plt.legend()\n", | |
| "plt.title('Abed Wu 2019 3 prime')\n", | |
| "plt.yscale('log')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 37, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "counts_2d_abed_5.sum(axis=1).plot(label='Distance 1')\n", | |
| "counts_2d_abed_5.sum(axis=0).plot(label='Distance 2')\n", | |
| "plt.legend()\n", | |
| "plt.title('Abed Wu 2019 5 prime')\n", | |
| "plt.yscale('log')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 40, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_2d_abed_masked = counts_2d_abed.copy()\n", | |
| "counts_2d_abed_masked.iloc[1:, 0] = np.nan\n", | |
| "counts_2d_abed_masked.iloc[0, 1:] = np.nan" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 43, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "counts_2d_abed_masked_5 = counts_2d_abed_5.copy()\n", | |
| "counts_2d_abed_masked_5.iloc[1:, 0] = np.nan\n", | |
| "counts_2d_abed_masked_5.iloc[0, 1:] = np.nan" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 47, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "Text(0.5, 1.0, 'Abed Wu 2019 3 prime masked')" | |
| ] | |
| }, | |
| "execution_count": 47, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "counts_2d_abed_masked.sum(axis=1).plot(label='Distance 1')\n", | |
| "counts_2d_abed_masked.sum(axis=0).plot(label='Distance 2')\n", | |
| "plt.legend()\n", | |
| "plt.title('Abed Wu 2019 3 prime masked')\n", | |
| "# plt.yscale('log')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 48, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "Text(0.5, 1.0, 'Abed Wu 2019 5 prime masked')" | |
| ] | |
| }, | |
| "execution_count": 48, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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", | |
| "text/plain": [ | |
| "<Figure size 640x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "counts_2d_abed_masked_5.sum(axis=1).plot(label='Distance 1')\n", | |
| "counts_2d_abed_masked_5.sum(axis=0).plot(label='Distance 2')\n", | |
| "plt.legend()\n", | |
| "plt.title('Abed Wu 2019 5 prime masked')\n", | |
| "# plt.yscale('log')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "kernelspec": { | |
| "display_name": "Python 3 (ipykernel)", | |
| "language": "python", | |
| "name": "python3" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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