{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Unsupervised Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Golub data set" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "suppressPackageStartupMessages(library(multtest))\n", "suppressPackageStartupMessages(library(golubEsets))\n", "suppressPackageStartupMessages(library(tidyverse))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\t
Features
\n", "\t\t
7129
\n", "\t
Samples
\n", "\t\t
72
\n", "
\n" ], "text/latex": [ "\\begin{description*}\n", "\\item[Features] 7129\n", "\\item[Samples] 72\n", "\\end{description*}\n" ], "text/markdown": [ "Features\n", ": 7129Samples\n", ": 72\n", "\n" ], "text/plain": [ "Features Samples \n", " 7129 72 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data(Golub_Merge)\n", "dim(Golub_Merge)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Extract gene expression values" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "golub <- exprs(Golub_Merge)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are 72 patients and 7192 probe sets." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
  1. 7129
    2. \n", "\t
  2. 72
    3. \n", "
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 7129\n", "\\item 72\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 7129\n", "2. 72\n", "\n", "\n" ], "text/plain": [ "[1] 7129 72" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dim(golub)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A matrix: 6 × 72 of type dbl
39404247484941434445⋯35363738282930313233
AFFX-BioB-5_at-342 -87 22-243-130-256 -62 86-146-187⋯ 7-213 -25 -72 -4 15-318 -32-124-135
AFFX-BioB-M_at-200-248-153-218-177-249 -23 -36 -74-187⋯-100-252 -20-139-116-114-192 -49 -79-186
AFFX-BioB-3_at 41 262 17-163 -28-410 -7-141 170 312⋯ -57 136 124 -1-125 2 -95 49 -37 -70
AFFX-BioC-5_at 328 295 276 182 266 24 142 252 174 142⋯ 132 318 325 392 241 193 312 230 330 337
AFFX-BioC-3_at-224-226-211-289-170-535-233-201 -32 114⋯-377-209-396-324-191 -51-139-367-188-407
AFFX-BioDn-5_at-427-493-250-268-326-810-284-384-318-148⋯-478-557-464-510-411-155-344-508-423-566
\n" ], "text/latex": [ "A matrix: 6 × 72 of type dbl\n", "\\begin{tabular}{r|llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n", " & 39 & 40 & 42 & 47 & 48 & 49 & 41 & 43 & 44 & 45 & 46 & 70 & 71 & 72 & 68 & 69 & 67 & 55 & 56 & 59 & 52 & 53 & 51 & 50 & 54 & 57 & 58 & 60 & 61 & 65 & 66 & 63 & 64 & 62 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 34 & 35 & 36 & 37 & 38 & 28 & 29 & 30 & 31 & 32 & 33\\\\\n", "\\hline\n", "\tAFFX-BioB-5\\_at & -342 & -87 & 22 & -243 & -130 & -256 & -62 & 86 & -146 & -187 & -56 & -55 & -59 & -131 & -154 & -79 & -76 & -34 & -95 & -12 & -21 & -202 & -112 & -118 & -90 & -137 & -157 & -172 & -47 & -62 & -58 & -161 & -48 & -176 & -214 & -139 & -76 & -135 & -106 & -138 & -72 & -413 & 5 & -88 & -165 & -67 & -92 & -113 & -107 & -117 & -476 & -81 & -44 & 17 & -144 & -247 & -74 & -120 & -81 & -112 & -273 & -20 & 7 & -213 & -25 & -72 & -4 & 15 & -318 & -32 & -124 & -135\\\\\n", "\tAFFX-BioB-M\\_at & -200 & -248 & -153 & -218 & -177 & -249 & -23 & -36 & -74 & -187 & -43 & -44 & -114 & -126 & -136 & -118 & -98 & -144 & -118 & -172 & -13 & -274 & -185 & -142 & -87 & -51 & -370 & -122 & -442 & -198 & -217 & -215 & -531 & -284 & -153 & -73 & -49 & -114 & -125 & -85 & -144 & -260 & -127 & -105 & -155 & -93 & -119 & -147 & -72 & -219 & -213 & -150 & -51 & -229 & -199 & -90 & -321 & -263 & -150 & -233 & -327 & -207 & -100 & -252 & -20 & -139 & -116 & -114 & -192 & -49 & -79 & -186\\\\\n", "\tAFFX-BioB-3\\_at & 41 & 262 & 17 & -163 & -28 & -410 & -7 & -141 & 170 & 312 & 43 & 12 & 23 & -50 & 49 & -30 & -153 & -17 & 59 & 12 & 8 & 59 & 24 & 212 & 102 & -82 & -77 & 38 & -21 & -5 & 63 & -46 & -124 & -81 & -58 & -1 & -307 & 265 & -76 & 215 & 238 & 7 & 106 & 42 & -71 & 84 & -31 & -118 & -126 & -50 & -18 & -119 & 100 & 79 & -157 & -168 & -11 & -114 & -85 & -78 & -76 & -50 & -57 & 136 & 124 & -1 & -125 & 2 & -95 & 49 & -37 & -70\\\\\n", "\tAFFX-BioC-5\\_at & 328 & 295 & 276 & 182 & 266 & 24 & 142 & 252 & 174 & 142 & 177 & 129 & 146 & 211 & 180 & 68 & 237 & 152 & 270 & 172 & 38 & 309 & 170 & 314 & 319 & 178 & 340 & 31 & 396 & 141 & 95 & 146 & 431 & 9 & 88 & 283 & 309 & 12 & 168 & 71 & 55 & -2 & 268 & 219 & 82 & 25 & 173 & 243 & 149 & 257 & 301 & 78 & 207 & 218 & 132 & -24 & -36 & 255 & 316 & 54 & 81 & 101 & 132 & 318 & 325 & 392 & 241 & 193 & 312 & 230 & 330 & 337\\\\\n", "\tAFFX-BioC-3\\_at & -224 & -226 & -211 & -289 & -170 & -535 & -233 & -201 & -32 & 114 & -116 & -108 & -171 & -206 & -257 & -110 & -215 & -174 & -229 & -137 & -128 & -456 & -197 & -401 & -283 & -135 & -438 & -201 & -351 & -256 & -191 & -172 & -496 & -294 & -295 & -264 & -376 & -419 & -230 & -272 & -399 & -541 & -210 & -178 & -163 & -179 & -233 & -127 & -205 & -218 & -403 & -152 & -146 & -262 & -151 & -308 & -317 & -342 & -418 & -244 & -439 & -369 & -377 & -209 & -396 & -324 & -191 & -51 & -139 & -367 & -188 & -407\\\\\n", "\tAFFX-BioDn-5\\_at & -427 & -493 & -250 & -268 & -326 & -810 & -284 & -384 & -318 & -148 & -184 & -301 & -227 & -287 & -273 & -264 & -122 & -289 & -383 & -205 & -245 & -581 & -400 & -452 & -385 & -320 & -364 & -226 & -394 & -206 & -230 & -596 & -696 & -493 & -558 & -400 & -650 & -585 & -284 & -558 & -551 & -790 & -535 & -246 & -430 & -323 & -227 & -398 & -284 & -402 & -394 & -340 & -221 & -404 & -347 & -571 & -499 & -396 & -461 & -275 & -616 & -529 & -478 & -557 & -464 & -510 & -411 & -155 & -344 & -508 & -423 & -566\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A matrix: 6 × 72 of type dbl\n", "\n", "| | 39 | 40 | 42 | 47 | 48 | 49 | 41 | 43 | 44 | 45 | ⋯ | 35 | 36 | 37 | 38 | 28 | 29 | 30 | 31 | 32 | 33 |\n", "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", "| AFFX-BioB-5_at | -342 | -87 | 22 | -243 | -130 | -256 | -62 | 86 | -146 | -187 | ⋯ | 7 | -213 | -25 | -72 | -4 | 15 | -318 | -32 | -124 | -135 |\n", "| AFFX-BioB-M_at | -200 | -248 | -153 | -218 | -177 | -249 | -23 | -36 | -74 | -187 | ⋯ | -100 | -252 | -20 | -139 | -116 | -114 | -192 | -49 | -79 | -186 |\n", "| AFFX-BioB-3_at | 41 | 262 | 17 | -163 | -28 | -410 | -7 | -141 | 170 | 312 | ⋯ | -57 | 136 | 124 | -1 | -125 | 2 | -95 | 49 | -37 | -70 |\n", "| AFFX-BioC-5_at | 328 | 295 | 276 | 182 | 266 | 24 | 142 | 252 | 174 | 142 | ⋯ | 132 | 318 | 325 | 392 | 241 | 193 | 312 | 230 | 330 | 337 |\n", "| AFFX-BioC-3_at | -224 | -226 | -211 | -289 | -170 | -535 | -233 | -201 | -32 | 114 | ⋯ | -377 | -209 | -396 | -324 | -191 | -51 | -139 | -367 | -188 | -407 |\n", "| AFFX-BioDn-5_at | -427 | -493 | -250 | -268 | -326 | -810 | -284 | -384 | -318 | -148 | ⋯ | -478 | -557 | -464 | -510 | -411 | -155 | -344 | -508 | -423 | -566 |\n", "\n" ], "text/plain": [ " 39 40 42 47 48 49 41 43 44 45 ⋯ 35 36 \n", "AFFX-BioB-5_at -342 -87 22 -243 -130 -256 -62 86 -146 -187 ⋯ 7 -213\n", "AFFX-BioB-M_at -200 -248 -153 -218 -177 -249 -23 -36 -74 -187 ⋯ -100 -252\n", "AFFX-BioB-3_at 41 262 17 -163 -28 -410 -7 -141 170 312 ⋯ -57 136\n", "AFFX-BioC-5_at 328 295 276 182 266 24 142 252 174 142 ⋯ 132 318\n", "AFFX-BioC-3_at -224 -226 -211 -289 -170 -535 -233 -201 -32 114 ⋯ -377 -209\n", "AFFX-BioDn-5_at -427 -493 -250 -268 -326 -810 -284 -384 -318 -148 ⋯ -478 -557\n", " 37 38 28 29 30 31 32 33 \n", "AFFX-BioB-5_at -25 -72 -4 15 -318 -32 -124 -135\n", "AFFX-BioB-M_at -20 -139 -116 -114 -192 -49 -79 -186\n", "AFFX-BioB-3_at 124 -1 -125 2 -95 49 -37 -70\n", "AFFX-BioC-5_at 325 392 241 193 312 230 330 337\n", "AFFX-BioC-3_at -396 -324 -191 -51 -139 -367 -188 -407\n", "AFFX-BioDn-5_at -464 -510 -411 -155 -344 -508 -423 -566" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(golub)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this exercise, we consider the probe values to be variables and the patients to be observations, so it is convenient to work with the matrix transpose. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "golub <- t(golub)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
  1. 72
    2. \n", "\t
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    3. \n", "
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A matrix: 3 × 7129 of type dbl
AFFX-BioB-5_atAFFX-BioB-M_atAFFX-BioB-3_atAFFX-BioC-5_atAFFX-BioC-3_atAFFX-BioDn-5_atAFFX-BioDn-3_atAFFX-CreX-5_atAFFX-CreX-3_atAFFX-BioB-5_st⋯U48730_atU58516_atU73738_atX06956_atX16699_atX83863_atZ17240_atL49218_f_atM71243_f_atZ78285_f_at
39-342-200 41328-224-427-656-292137-144⋯2771023 67214-1351074475 48 168-70
40 -87-248262295-226-493 367-452194 162⋯ 83 529-295352 -67 67263-33 -33-21
42 22-153 17276-211-250 55-141 0 500⋯413 399 16558 24 893297 61971-42
\n" ], "text/latex": [ "A matrix: 3 × 7129 of type dbl\n", "\\begin{tabular}{r|llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll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" & AFFX-BioB-5\\_at & AFFX-BioB-M\\_at & AFFX-BioB-3\\_at & AFFX-BioC-5\\_at & AFFX-BioC-3\\_at & AFFX-BioDn-5\\_at & AFFX-BioDn-3\\_at & AFFX-CreX-5\\_at & AFFX-CreX-3\\_at & AFFX-BioB-5\\_st & AFFX-BioB-M\\_st & AFFX-BioB-3\\_st & AFFX-BioC-5\\_st & AFFX-BioC-3\\_st & AFFX-BioDn-5\\_st & AFFX-BioDn-3\\_st & AFFX-CreX-5\\_st & AFFX-CreX-3\\_st & hum\\_alu\\_at & AFFX-DapX-5\\_at & AFFX-DapX-M\\_at & AFFX-DapX-3\\_at & AFFX-LysX-5\\_at & AFFX-LysX-M\\_at & AFFX-LysX-3\\_at & AFFX-PheX-5\\_at & AFFX-PheX-M\\_at & AFFX-PheX-3\\_at & AFFX-ThrX-5\\_at & AFFX-ThrX-M\\_at & AFFX-ThrX-3\\_at & AFFX-TrpnX-5\\_at & AFFX-TrpnX-M\\_at & AFFX-TrpnX-3\\_at & AFFX-HUMISGF3A/M97935\\_5\\_at & AFFX-HUMISGF3A/M97935\\_MA\\_at & AFFX-HUMISGF3A/M97935\\_MB\\_at & AFFX-HUMISGF3A/M97935\\_3\\_at & AFFX-HUMRGE/M10098\\_5\\_at & AFFX-HUMRGE/M10098\\_M\\_at & AFFX-HUMRGE/M10098\\_3\\_at & AFFX-HUMGAPDH/M33197\\_5\\_at & AFFX-HUMGAPDH/M33197\\_M\\_at & AFFX-HUMGAPDH/M33197\\_3\\_at & AFFX-HSAC07/X00351\\_5\\_at & AFFX-HSAC07/X00351\\_M\\_at & AFFX-HSAC07/X00351\\_3\\_at & AFFX-HUMTFRR/M11507\\_5\\_at & AFFX-HUMTFRR/M11507\\_M\\_at & AFFX-HUMTFRR/M11507\\_3\\_at & AFFX-M27830\\_5\\_at & AFFX-M27830\\_M\\_at & AFFX-M27830\\_3\\_at & AFFX-HSAC07/X00351\\_3\\_st & AFFX-HUMGAPDH/M33197\\_5\\_st & AFFX-HUMGAPDH/M33197\\_M\\_st & AFFX-HUMGAPDH/M33197\\_3\\_st & AFFX-HSAC07/X00351\\_5\\_st & AFFX-HSAC07/X00351\\_M\\_st & A28102\\_at & AB000114\\_at & AB000115\\_at & AB000220\\_at & AB000409\\_at & AB000449\\_at & AB000450\\_at & AB000460\\_at & AB000462\\_at & AB000464\\_at & AB000466\\_at & AB000467\\_at & AB000468\\_at & AB000584\\_at & AB000895\\_at & AB000896\\_at & AB000897\\_at & AB000905\\_at & AB001106\\_at & AB001325\\_at & AB002314\\_at & AB002315\\_at & AB002318\\_at & AB002365\\_at & AB002366\\_at & AB002380\\_at & AB002382\\_at & AB002409\\_at & AB002559\\_at & AB003102\\_at & AB003103\\_at & AB003177\\_at & AB003698\\_at & AB004884\\_at & AB006190\\_at & AC000061\\_cds2\\_at & AC000061\\_cds3\\_at & AC000062\\_at & AC000064\\_cds1\\_at & AC000064\\_cds2\\_at & AC000066\\_at & AC000099\\_at & AC000115\\_cds1\\_at & AC002045\\_xpt1\\_at & AC002073\\_cds1\\_at & AC002077\\_at & AC002086\\_at & AC002115\\_cds1\\_at & AC002115\\_cds3\\_at & AC002115\\_cds4\\_at & AC002115\\_rna2\\_at & AC002450\\_at & AC002464\\_at & AC002486\\_at & AD000092\\_cds1\\_at & AD000092\\_cds2\\_at & AD000684\\_cds1\\_at & AD001527\\_cds1\\_at & AF000177\\_at & AF000231\\_at & AF000234\\_at & AF000430\\_at & AF000545\\_at & AF000560\\_at & AF000562\\_at & AF000573\\_rna1\\_at & AF000959\\_at & AF001294\\_at & AF001620\\_at & AF002020\\_at & AF002224\\_at & AF002700\\_at & AF003743\\_at & AF005037\\_at & AF005043\\_at & AF005361\\_at & AF005775\\_at & AF005887\\_at & AF006041\\_at & AF006084\\_at & AF006087\\_at & AF006609\\_at & AF007111\\_at & AF007551\\_at & AF007875\\_at & AF008445\\_at & AF008937\\_at & AF009301\\_at & AF009368\\_at & AF009426\\_at & AF009674\\_at & AF010193\\_at & AF012270\\_at & AF014958\\_at & AF015910\\_at & AF015913\\_at & AF015950\\_at & AJ000480\\_at & AJ001047\\_at & AJ001421\\_at & AJ001487\\_at & D00017\\_at & D00591\\_at & D00596\\_at & D00632\\_at & D00654\\_at & D00723\\_at & D00726\\_at & D00760\\_at & D00761\\_at & D00762\\_at & D00763\\_at & D10202\\_at & D10495\\_at & D10511\\_at & D10522\\_at & D10523\\_at & D10656\\_at & D10704\\_at & D10923\\_at & D10995\\_at & D11086\\_at & D11094\\_at & D11139\\_at & D11151\\_at & D11428\\_at & D12485\\_at & D12625\\_at & D12676\\_at & D12686\\_at & D12763\\_at & D13118\\_at & D13168\\_at & D13264\\_at & D13305\\_at & D13315\\_at & D13370\\_at & D13435\\_at & D13540\\_at & D13626\\_at & D13627\\_at & D13628\\_at & D13630\\_at & D13633\\_at & D13634\\_at & D13635\\_at & D13636\\_at & D13637\\_at & D13639\\_at & D13640\\_at & D13641\\_at & D13642\\_at & D13643\\_at & D13644\\_at & D13645\\_at & D13748\\_at & D13789\\_at & D13897\\_rna2\\_at & D13900\\_at & D13969\\_at & D13988\\_at & D14043\\_at & D14134\\_at & D14446\\_at & D14497\\_at & D14520\\_at & D14530\\_at & D14533\\_at & D14657\\_at & D14658\\_at & D14659\\_at & D14660\\_at & D14661\\_at & D14662\\_at & D14663\\_at & D14664\\_at & D14678\\_at & D14686\\_at & D14689\\_at & D14694\\_at & D14695\\_at & D14710\\_at & D14811\\_at & D14812\\_at & D14822\\_at & D14823\\_at & D14827\\_at & D14838\\_at & D14874\\_at & D14878\\_at & D14889\\_at & D15049\\_at & D15050\\_at & D15057\\_at & D16181\\_at & D16217\\_at & D16227\\_at & D16294\\_at & D16350\\_at & D16469\\_at & D16532\\_at & D16562\\_at & D16581\\_at & D16583\\_at & D16593\\_at & D16626\\_at & D16815\\_at & D17357\\_at & D17390\\_at & D17391\\_at & D17400\\_at & D17461\\_at & D17516\\_at & D17525\\_at & D17716\\_at & D21063\\_at & D21089\\_at & D21090\\_at & D21163\\_at & D21205\\_at & D21239\\_at & D21255\\_at & D21260\\_at & D21261\\_at & D21262\\_at & D21267\\_at & D21337\\_at & D21851\\_at & D21852\\_at & D21853\\_at & 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D85418\\_at & D85423\\_at & D85429\\_at & D85433\\_at & D85527\\_at & D85758\\_at & D85815\\_at & D85939\\_at & D86096\\_cds3\\_at & D86425\\_at & D86479\\_at & D86519\\_at & D86549\\_at & D86640\\_at & D86956\\_at & D86957\\_at & D86959\\_at & D86960\\_at & D86961\\_at & D86962\\_at & D86963\\_at & D86964\\_at & D86965\\_at & D86966\\_at & D86967\\_at & D86968\\_at & D86969\\_at & D86970\\_at & D86971\\_at & D86972\\_at & D86973\\_at & D86975\\_at & D86976\\_at & D86977\\_at & D86978\\_at & D86979\\_at & D86980\\_at & D86981\\_at & D86982\\_at & D86983\\_at & D86984\\_at & D86985\\_at & D87009\\_cds3\\_at & D87011\\_at & D87012\\_at & D87023\\_cds2\\_at & D87024\\_at & D87071\\_at & D87073\\_at & D87074\\_at & D87075\\_at & D87076\\_at & D87077\\_at & D87078\\_at & D87116\\_at & D87119\\_at & D87120\\_at & D87127\\_at & D87258\\_at & D87292\\_at & D87328\\_at & D87432\\_at & D87433\\_at & D87434\\_at & D87435\\_at & D87436\\_at & D87437\\_at & D87438\\_at & D87440\\_at & D87442\\_at & D87443\\_at & D87444\\_at & D87445\\_at & D87446\\_at & D87447\\_at & D87448\\_at & D87449\\_at & D87450\\_at & D87451\\_at & D87452\\_at & D87453\\_at & D87454\\_at & D87455\\_at & D87457\\_at & D87458\\_at & D87459\\_at & D87460\\_at & D87461\\_at & D87462\\_at & D87463\\_at & D87464\\_at & D87465\\_at & D87466\\_at & D87467\\_at & D87468\\_at & D87469\\_at & D87470\\_at & D87673\\_at & D87682\\_at & D87683\\_at & D87684\\_at & D87685\\_at & D87735\\_at & D87742\\_at & D87743\\_at & D87845\\_at & D87937\\_at & D87953\\_at & D87957\\_at & D87969\\_at & D87989\\_at & D88146\\_at & D88152\\_at & D88213\\_at & D88270\\_at & D88378\\_at & D88422\\_at & D88460\\_at & D88532\\_at & D88613\\_at & D88667\\_at & D88795\\_at & D88797\\_at & D88799\\_at & D89016\\_at & D89050\\_at & D89052\\_at & D89077\\_at & D89289\\_at & D89501\\_at & D89667\\_at & D89858\\_at & D89859\\_at & D90064\\_at & D90084\\_at & D90086\\_at & D90097\\_at & D90209\\_at & D90224\\_at & D90276\\_at & D90282\\_at & D90359\\_at & H46990\\_at & HG1019-HT1019\\_at & HG1071-HT1071\\_at & HG1078-HT1078\\_at & HG1098-HT1098\\_at & HG1102-HT1102\\_at & HG1103-HT1103\\_at & HG1111-HT1111\\_at & HG1112-HT1112\\_at & HG1116-HT1116\\_at & HG1139-HT4910\\_at & HG1148-HT1148\\_at & HG1153-HT1153\\_at & HG1155-HT4822\\_at & HG1205-HT1205\\_at & HG142-HT142\\_at & HG1602-HT1602\\_at & HG1604-HT1604\\_at & HG1612-HT1612\\_at & HG1614-HT1614\\_at & HG1649-HT1652\\_at & HG172-HT3924\\_at & HG1723-HT1729\\_at & HG1733-HT1748\\_at & HG174-HT174\\_at & HG180-HT180\\_at & HG1800-HT1823\\_at & HG1804-HT1829\\_at & HG1828-HT1857\\_at & HG1862-HT1897\\_at & HG1869-HT1904\\_at & HG1872-HT1907\\_at & HG1879-HT1919\\_at & HG2028-HT2082\\_at & HG2036-HT2090\\_at & HG2059-HT2114\\_at & HG2152-HT2222\\_at & HG2161-HT2231\\_at & HG2167-HT2237\\_at & HG2188-HT2258\\_at & HG2190-HT2260\\_at & HG2191-HT2261\\_at & HG2228-HT2305\\_at & HG2229-HT2306\\_at & HG2247-HT2332\\_at & HG2261-HT2352\\_at & HG2264-HT2360\\_at & HG2274-HT2370\\_at & HG2279-HT2375\\_at & HG2280-HT2376\\_at & HG2290-HT2386\\_at & HG2309-HT2405\\_at & HG2314-HT2410\\_at & HG2320-HT2416\\_at & HG2325-HT2421\\_at & HG2339-HT2435\\_at & HG2415-HT2511\\_at & HG2416-HT2512\\_at & HG2417-HT2513\\_at & HG2442-HT2538\\_at & HG2460-HT2556\\_at & HG2463-HT2559\\_at & HG2480-HT2576\\_at & HG2492-HT2588\\_at & HG2507-HT2603\\_at & HG2525-HT2621\\_at & HG2530-HT2626\\_at & HG2538-HT2634\\_at & HG2566-HT4867\\_at & HG2573-HT2669\\_at & HG25930-HT26386\\_at & HG2602-HT2698\\_at & HG2604-HT2700\\_at & HG2614-HT2710\\_at & HG2662-HT2758\\_at & HG2663-HT2759\\_at & HG2668-HT2764\\_at & HG2686-HT2782\\_at & HG2689-HT2785\\_at & HG270-HT270\\_at & HG2706-HT2802\\_at & HG2707-HT2803\\_at & HG2709-HT2805\\_at & HG2714-HT2810\\_at & HG2715-HT2811\\_at & HG2723-HT2819\\_at & HG2724-HT2820\\_at & HG2755-HT2862\\_at & HG2788-HT2896\\_at & HG2796-HT2904\\_at & HG2810-HT2921\\_at & HG2825-HT2949\\_at & HG2855-HT2995\\_at & HG2873-HT3017\\_at & HG2874-HT3018\\_at & HG2936-HT3080\\_at & HG2992-HT5186\\_at & HG3039-HT3200\\_at & HG3063-HT3224\\_at & HG3088-HT3263\\_at & HG3104-HT3280\\_at & HG311-HT311\\_at & HG3111-HT3287\\_at & HG3117-HT3293\\_at & HG3123-HT3299\\_at & HG3132-HT3308\\_at & HG3137-HT3313\\_at & HG315-HT315\\_at & HG3162-HT3339\\_at & HG3175-HT3352\\_at & HG3214-HT3391\\_at & HG3227-HT3404\\_at & HG3231-HT3408\\_at & HG3248-HT3425\\_at & HG3254-HT3431\\_at & HG3255-HT3432\\_at & HG3264-HT3441\\_at & HG3286-HT3463\\_at & HG3288-HT3465\\_at & HG3299-HT3476\\_at & HG33-HT33\\_at & HG331-HT331\\_at & HG3313-HT3490\\_at & HG3344-HT3521\\_at & HG3345-HT3522\\_at & HG3355-HT3532\\_at & HG3364-HT3541\\_at & HG3369-HT3546\\_at & HG3400-HT3579\\_at & HG3405-HT3586\\_at & HG3415-HT3598\\_at & HG3432-HT3618\\_at & HG3432-HT3621\\_at & HG3454-HT3647\\_at & HG3477-HT3670\\_at & HG3492-HT3686\\_at & HG3494-HT3688\\_at & HG3495-HT3689\\_at & HG3502-HT3696\\_at & HG3510-HT3704\\_at & HG3514-HT3708\\_at & HG3517-HT3711\\_at & HG3521-HT3715\\_at & HG3548-HT3749\\_at & HG3549-HT3751\\_at & HG3566-HT3769\\_at & HG3570-HT3773\\_at & HG3578-HT3781\\_at & HG358-HT358\\_at & HG3627-HT3836\\_at & HG363-HT363\\_at & HG37-HT37\\_at & HG3733-HT4003\\_at & HG3740-HT4010\\_at & HG3748-HT4018\\_at & HG3790-HT4060\\_at & HG384-HT384\\_at & HG3872-HT4142\\_at & HG3884-HT4154\\_at & HG3893-HT4163\\_at & HG3897-HT4167\\_at & HG3930-HT4200\\_at & HG3934-HT4204\\_at & HG3936-HT4206\\_at & HG3942-HT4212\\_at & HG3945-HT4215\\_at & HG3962-HT4232\\_at & HG3971-HT4241\\_at & HG3976-HT4246\\_at & HG3985-HT4255\\_at & HG3987-HT4257\\_at & HG3989-HT4259\\_at & HG3992-HT4262\\_at & HG3993-HT4263\\_at & HG3994-HT4264\\_at & HG3995-HT4265\\_at & HG3998-HT4268\\_at & HG3999-HT4269\\_at & HG4018-HT4288\\_at & HG4036-HT4306\\_at & HG4051-HT4321\\_at & HG4052-HT4322\\_at & HG4058-HT4328\\_at & HG406-HT406\\_at & HG4068-HT4338\\_at & HG4073-HT4343\\_at & HG4074-HT4344\\_at & HG4102-HT4372\\_at & HG4114-HT4384\\_at & HG4126-HT4396\\_at & HG4128-HT4398\\_at & HG4144-HT4414\\_at & HG415-HT415\\_at & HG4157-HT4427\\_at & HG4165-HT4435\\_at & HG4167-HT4437\\_at & HG4178-HT4448\\_at & HG4185-HT4455\\_at & HG4188-HT4458\\_at & HG4194-HT4464\\_at & HG4234-HT4504\\_at & HG4243-HT4513\\_at & HG4245-HT4515\\_at & HG4258-HT4528\\_at & HG4263-HT4533\\_at & HG4272-HT4542\\_at & HG429-HT429\\_at & HG4297-HT4567\\_at & HG4310-HT4580\\_at & HG4316-HT4586\\_at & HG4319-HT4589\\_at & HG4321-HT4591\\_at & HG4332-HT4602\\_at & HG4333-HT4603\\_at & HG4336-HT4606\\_at & HG4390-HT4660\\_at & HG4411-HT4681\\_at & HG4433-HT4703\\_at & HG4458-HT4727\\_at & HG4460-HT4729\\_at & HG4462-HT4731\\_at & HG4480-HT4833\\_at & HG4533-HT4938\\_at & HG4542-HT4947\\_at & HG4582-HT4987\\_at & HG4606-HT5011\\_at & HG4638-HT5050\\_at & HG4660-HT5073\\_at & HG4662-HT5075\\_at & HG4704-HT5146\\_at & HG4716-HT5158\\_at & HG4724-HT5166\\_at & HG4740-HT5187\\_at & HG4747-HT5195\\_at & HG4749-HT5197\\_at & HG511-HT511\\_at & HG537-HT537\\_at & HG544-HT544\\_at & HG613-HT613\\_at & HG620-HT620\\_at & HG64-HT64\\_at & HG644-HT644\\_at & HG662-HT662\\_at & HG668-HT4793\\_at & HG732-HT732\\_at & HG742-HT742\\_at & HG821-HT821\\_at & HG825-HT825\\_at & HG830-HT830\\_at & HG831-HT831\\_at & HG846-HT846\\_at & HG870-HT870\\_at & HG896-HT896\\_at & HG907-HT907\\_at & HG908-HT908\\_at & HG909-HT909\\_at & HG919-HT919\\_at & HG921-HT3995\\_at & HG960-HT960\\_at & HG961-HT961\\_at & HG987-HT987\\_at & J00073\\_at & J00123\\_at & J00124\\_at & J00129\\_at & J00287\\_at & J00301\\_at & J00306\\_at & J02611\\_at & J02645\\_at & J02843\\_at & J02854\\_at & J02874\\_at & J02876\\_at & J02883\\_at & J02888\\_at & J02902\\_at & J02906\\_at & J02923\\_at & J02943\\_at & J02963\\_at & J02973\\_rna1\\_at & J03040\\_at & J03068\\_at & J03069\\_rna1\\_at & J03133\\_at & J03161\\_at & J03171\\_at & J03191\\_at & J03258\\_at & J03278\\_at & J03459\\_at & J03473\\_at & J03474\\_at & J03507\\_at & J03589\\_at & J03592\\_at & J03600\\_at & J03756\\_at & J03764\\_at & J03779\\_at & J03798\\_at & J03810\\_at & J03824\\_at & J03827\\_at & J03890\\_rna1\\_at & J03909\\_at & J03925\\_at & J03930\\_at & J04027\\_at & J04031\\_at & J04040\\_at & J04056\\_at & J04058\\_at & J04076\\_at & J04080\\_at & J04088\\_at & J04101\\_at & J04102\\_at & J04111\\_at & J04132\\_at & J04156\\_at & J04162\\_at & J04164\\_at & J04173\\_at & J04177\\_at & J04444\\_at & J04456\\_at & J04469\\_at & J04501\\_at & J04543\\_at & J04599\\_at & J04605\\_at & J04611\\_at & J04615\\_at & J04621\\_at & J04739\\_at & J04742\\_at & J04760\\_at & J04794\\_at & J04809\\_rna1\\_at & J04823\\_rna1\\_at & J04948\\_at & J04970\\_at & J04973\\_at & J04982\\_at & J04988\\_at & J04990\\_at & J05008\\_at & J05032\\_at & J05037\\_at & J05068\\_at & J05070\\_at & J05073\\_at & J05096\\_rna1\\_at & J05125\\_at & J05158\\_at & J05213\\_at & J05243\\_at & J05249\\_at & J05257\\_at & J05272\\_at & J05401\\_at & J05428\\_at & J05448\\_at & J05459\\_at & J05500\\_at & J05556\\_at & J05614\\_at & J05682\\_at & K01383\\_at & K01396\\_at & K01884\\_at & K01911\\_at & K02054\\_at & K02100\\_at & K02215\\_at & K02268\\_at & K02402\\_at & K02545\\_cds2\\_at & K02574\\_at & K02765\\_at & K03008\\_cds1\\_at & K03008\\_cds2\\_at & K03021\\_at & K03195\\_at & K03218\\_at & K03430\\_at & K03460\\_at & K03474\\_at & K03515\\_at & L00137\\_cds1\\_at & L00352\\_at & L00354\\_at & L00635\\_at & L00972\\_at & L01042\\_at & L01087\\_at & L01406\\_at & L01664\\_at & L02320\\_at & L02321\\_at & L02426\\_at & L02547\\_at & L02648\\_at & L02785\\_at & L02840\\_at & L02867\\_at & L02932\\_at & L02950\\_at & L03427\\_at & L03532\\_at & L03785\\_at & L04270\\_at & L04490\\_at & L04510\\_at & L04656\\_at & L04733\\_at & L04947\\_at & L04953\\_at & L05147\\_at & L05148\\_at & L05424\\_cds2\\_at & L05425\\_at & L05500\\_at & L05512\\_at & L05515\\_at & L05568\\_at & L05597\\_at & L05606\\_at & L05779\\_at & L06132\\_at & L06139\\_at & L06147\\_at & L06175\\_at & L06419\\_at & L06499\\_at & L06505\\_at & L06633\\_at & L06845\\_at & L06895\\_at & L07033\\_at & L07044\\_at & L07077\\_at & L07493\\_at & L07515\\_at & L07540\\_at & L07541\\_at & L07548\\_at & L07590\\_at & L07592\\_at & L07594\\_at & L07597\\_at & L07633\\_at & L07738\\_at & L07758\\_at & L07765\\_at & L07868\\_at & L07949\\_at & L07956\\_at & L08069\\_at & L08177\\_at & L08187\\_at & L08246\\_at & L08424\\_at & L08485\\_at & L08488\\_at & L08666\\_at & L09190\\_rna1\\_at & L09234\\_at & L09235\\_at & L09260\\_at & L09604\\_at & L09708\\_at & L09717\\_at & L09749\\_at & L09753\\_at & L10035\\_at & L10102\\_rna1\\_at & L10123\\_at & L10284\\_at & L10343\\_at & L10373\\_at & L10374\\_at & L10378\\_at & L10381\\_at & L10386\\_at & L10403\\_at & L10405\\_at & L10665\\_at & L10678\\_at & L10838\\_at & L10844\\_at & L10910\\_at & L11005\\_at & L11239\\_at & L11285\\_at & L11329\\_at & L11353\\_at & L11369\\_at & L11370\\_at & L11372\\_at & L11373\\_at & L11566\\_at & L11573\\_at & L11669\\_at & L11695\\_at & L11708\\_at & L12168\\_at & L12350\\_at & L12392\\_at & L12468\\_at & L12535\\_at & L12701\\_cds2\\_at & L12723\\_at & L13042\\_at & L13197\\_at & L13203\\_at & L13210\\_at & L13258\\_at & L13278\\_at & L13286\\_at & L13329\\_at & L13391\\_at & L13434\\_at & L13436\\_at & L13689\\_at & L13698\\_at & L13720\\_at & L13738\\_at & L13761\\_rna1\\_at & L13800\\_at & L13848\\_at & L13852\\_at & L13923\\_at & L13972\\_at & L13977\\_at & L13994\\_at & L14076\\_at & L14269\\_at & L14542\\_at & L14565\\_at & L14595\\_at & L14754\\_at & L14787\\_at & L14812\\_at & L14813\\_at & L14837\\_at & L14856\\_at & L14922\\_at & L14927\\_at & L15309\\_at & L15344\\_at & L15388\\_at & L15409\\_at & L15440\\_at & L15533\\_rna1\\_at & L15702\\_at & L16464\\_at & L16782\\_at & L16842\\_at & L16862\\_at & L16895\\_at & L16896\\_at & L16991\\_at & L17128\\_at & L17131\\_rna1\\_at & L17325\\_at & L17327\\_at & L17328\\_at & L17330\\_at & L18960\\_at & L18972\\_at & L18983\\_at & L19058\\_at & L19063\\_at & L19067\\_at & L19161\\_at & L19183\\_at & L19267\\_at & L19297\\_at & L19314\\_at & L19401\\_at & L19437\\_at & L19527\\_at & L19593\\_at & L19605\\_at & L19686\\_rna1\\_at & L19711\\_at & L19778\\_at & L19779\\_at & L19783\\_at & L19871\\_at & L19872\\_at & L20010\\_at & L20298\\_at & L20316\\_at & L20320\\_at & L20321\\_at & L20348\\_at & L20591\\_at & L20773\\_at & L20814\\_at & L20815\\_at & L20826\\_at & L20852\\_at & L20859\\_at & L20861\\_at & L20941\\_at & L20971\\_at & L21715\\_at & L21893\\_at & L21934\\_at & L21936\\_at & L21954\\_at & L21993\\_at & L22005\\_at & L22009\\_at & L22075\\_at & L22206\\_at & L22214\\_at & L22342\\_at & L22343\\_at & L22548\\_at & L22650\\_at & L23116\\_at & L23808\\_at & L23852\\_at & L23959\\_at & L24203\\_at & L24470\\_at & L24559\\_at & L24564\\_at & L24783\\_at & L24804\\_at & L25080\\_at & L25081\\_at & L25085\\_at & L25119\\_at & L25270\\_at & L25441\\_at & L25444\\_at & L25798\\_at & L25851\\_at & L25876\\_at & L26081\\_at & L26234\\_at & L26247\\_at & L26336\\_at & L26339\\_at & L26494\\_at & L26953\\_at & L27050\\_at & L27071\\_at & L27080\\_at & L27476\\_at & L27479\\_at & L27560\\_at & L27586\\_at & L27706\\_at & L27841\\_at & L27943\\_at & L28010\\_at & L28175\\_at & L28821\\_at & L28957\\_at & L28997\\_at & L29008\\_at & L29217\\_at & L29218\\_at & L29277\\_at & L29339\\_at & L29376\\_at & L29433\\_at & L31529\\_at & L31573\\_at & L31584\\_at & L31801\\_at & L31860\\_at & L31881\\_at & L32137\\_at & L32140\\_at & L32163\\_at & L32164\\_at & L32179\\_at & L32866\\_at & L32976\\_at & L32977\\_at & L33243\\_at & L33404\\_at & L33477\\_at & L33798\\_at & L33799\\_at & L33801\\_at & L33842\\_rna1\\_at & L33881\\_at & L34059\\_at & L34060\\_at & L34075\\_at & L34081\\_at & L34155\\_at & L34219\\_at & L34357\\_at & L34409\\_at & L34587\\_at & L34600\\_at & L34657\\_at & L34673\\_at & L34820\\_at & L34838\\_at & L35035\\_at & L35240\\_at & L35251\\_rna1\\_at & L35269\\_at & L35475\\_at & L35545\\_at & L35546\\_at & L35592\\_at & L35854\\_at & L36033\\_at & L36051\\_at & L36069\\_at & L36151\\_at & L36463\\_at & L36529\\_at & L36531\\_at & L36642\\_at & L36645\\_at & L36720\\_at & L36818\\_at & L36844\\_at & L36847\\_at & L36861\\_at & L36922\\_at & L36983\\_at & L37033\\_at & L37042\\_at & L37043\\_at & L37127\\_at & L37199\\_at & L37347\\_at & L37362\\_at & L37368\\_at & L37378\\_at & L37792\\_at & L37882\\_at & L37936\\_at & L38025\\_at & L38486\\_at & L38487\\_at & L38500\\_at & L38503\\_at & L38517\\_at & L38608\\_at & L38616\\_at & L38696\\_at & L38707\\_at & L38810\\_at & L38820\\_at & L38928\\_at & L38929\\_at & L38932\\_at & L38933\\_rna1\\_at & L38935\\_at & L38941\\_at & L38951\\_at & L38961\\_at & L38969\\_at & L39009\\_at & L39059\\_at & L39060\\_at & L39061\\_at & L39064\\_rna1\\_at & L39211\\_at & L39833\\_at & L39874\\_at & L40027\\_at & L40157\\_at & L40357\\_at & L40366\\_at & L40371\\_at & L40377\\_at & L40379\\_at & L40380\\_at & L40387\\_at & L40388\\_at & L40391\\_at & L40392\\_at & L40393\\_at & L40394\\_at & L40395\\_at & L40396\\_at & L40399\\_at & L40400\\_at & L40401\\_at & L40402\\_at & L40403\\_at & L40407\\_at & L40410\\_at & L40411\\_at & L40586\\_at & L40636\\_at & L40904\\_at & L40933\\_at & L40992\\_at & L41066\\_at & L41067\\_at & L41143\\_at & L41147\\_at & L41162\\_at & L41349\\_at & L41351\\_at & L41559\\_at & L41607\\_at & L41668\\_rna1\\_at & L41680\\_at & L41690\\_at & L41816\\_at & L41870\\_at & L41887\\_rna1\\_at & L41913\\_at & L41919\\_rna1\\_at & L41939\\_at & L42025\\_rna1\\_at & L42176\\_at & L42243\\_cds1\\_at & L42324\\_at & L42354\\_at & L42373\\_at & L42379\\_at & L42450\\_at & L42451\\_at & L42452\\_at & L42542\\_at & L42563\\_at & L42572\\_at & L42621\\_at & L43338\\_at & L43366\\_at & L43631\\_at & L43821\\_at & L43964\\_at & L47345\\_at & L47726\\_at & L47738\\_at & L48211\\_at & L48513\\_at & L48516\\_at & L48546\\_at & L48692\\_at & L48728\\_cds1\\_at & L49054\\_at & L49169\\_at & L75847\\_at & L76159\\_at & L76191\\_at & L76200\\_at & L76224\\_at & L76380\\_at & L76465\\_at & L76571\\_at & L76687\\_at & L76702\\_at & L76703\\_at & L76927\\_rna1\\_at & L76937\\_rna1\\_at & L77213\\_at & L77559\\_at & L77561\\_at & L77563\\_at & L77566\\_at & L77571\\_at & L77701\\_at & L77730\\_at & L77864\\_at & L77886\\_at & L78132\\_at & L78267\\_at & L78440\\_at & L78833\\_cds2\\_at & M10014\\_cds1\\_at & M10050\\_at & M10058\\_at & M10612\\_at & M10901\\_at & M10950\\_cds2\\_at & M11058\\_at & M11119\\_at & M11147\\_at & M11186\\_at & M11321\\_at & M11353\\_at & M11433\\_at & M11437\\_cds1\\_at & M11437\\_cds2\\_at & M11567\\_rna1\\_at & M11591\\_at & M11717\\_rna1\\_at & M11718\\_at & M11722\\_at & M11726\\_at & M11749\\_at & M11973\\_cds1\\_at & M12036\\_at & M12174\\_at & M12529\\_at & M12625\\_at & M12759\\_at & M12886\\_at & M13143\\_at & M13149\\_at & M13194\\_at & M13207\\_at & M13241\\_at & M13450\\_at & M13666\\_at & M13699\\_at & M13755\\_at & M13792\\_at & M13903\\_at & M13934\\_cds1\\_at & M13934\\_cds2\\_at & M13955\\_at & M13982\\_at & M14016\\_at & M14058\\_at & M14091\\_at & M14113\\_at & M14123\\_xpt2\\_at & M14123\\_xpt3\\_at & M14123\\_xpt4\\_at & M14158\\_cds4\\_at & M14159\\_cds2\\_at & M14200\\_rna1\\_at & M14218\\_at & M14219\\_at & M14338\\_at & M14539\\_at & M14565\\_at & M14636\\_at & M14648\\_at & M14660\\_at & M14676\\_at & M14764\\_at & M14949\\_at & M15059\\_at & M15182\\_at & M15205\\_at & M15353\\_at & M15517\\_cds5\\_at & M15656\\_at & M15661\\_at & M15780\\_at & M15796\\_at & M15841\\_at & M15856\\_at & M15881\\_at & M15958\\_at & M15990\\_at & M16038\\_at & M16279\\_at & M16282\\_at & M16404\\_at & M16405\\_at & M16424\\_at & M16441\\_cds1\\_at & M16447\\_at & M16505\\_at & M16801\\_at & M16937\\_at & M16961\\_at & M16967\\_at & M16973\\_at & M17219\\_at & M17262\\_at & M17316\\_at & M17466\\_at & M17733\\_at & M17754\\_at & M17885\\_at & M17886\\_at & M18000\\_at & M18079\\_at & M18185\\_at & M18533\\_at & M18728\\_at & M18731\\_at & M18737\\_rna1\\_at & M19159\\_at & M19283\\_at & M19301\\_at & M19481\\_at & M19483\\_at & M19507\\_at & M19645\\_at & M19684\\_at & M19720\\_rna1\\_at & M19720\\_rna2\\_at & M19722\\_at & M19961\\_at & M19989\\_cds1\\_at & M19989\\_cds2\\_at & M20137\\_at & M20218\\_at & M20471\\_at & M20530\\_at & M20543\\_at & M20681\\_at & M20777\\_at & M20786\\_at & M20902\\_at & M20919\\_at & M21005\\_at & M21056\\_at & M21121\\_at & M21154\\_at & M21186\\_at & M21188\\_at & M21259\\_at & M21389\\_at & M21494\\_at & M21551\\_rna1\\_at & M21574\\_at & M21624\\_at & M21812\\_at & M21904\\_at & M21934\\_at & M21984\\_at & M21985\\_at & M22005\\_at & M22092\\_at & M22324\\_at & M22382\\_at & M22430\\_at & M22489\\_at & M22490\\_at & M22538\\_at & M22632\\_at & M22638\\_at & M22760\\_at & M22877\\_at & M22898\\_at & M22919\\_rna2\\_at & M22960\\_at & M22976\\_at & M22995\\_at & M23114\\_at & M23161\\_at & M23197\\_at & M23254\\_at & M23294\\_at & M23379\\_at & M23533\\_at & M23613\\_at & M23668\\_at & M24194\\_at & M24248\\_at & M24351\\_cds2\\_at & M24364\\_at & M24398\\_at & M24400\\_at & M24439\\_at & M24461\\_at & M24470\\_at & M24594\\_at & M24899\\_at & M24902\\_at & M25077\\_at & M25164\\_at & M25269\\_at & M25280\\_at & M25322\\_at & M25393\\_at & M25629\\_at & M25753\\_at & M25756\\_at & M25809\\_at & M25897\\_at & M26061\\_at & M26062\\_at & M26167\\_rna1\\_at & M26576\\_cds2\\_at & M26602\\_at & M26679\\_at & M26682\\_at & M26683\\_at & M26880\\_at & M27160\\_at & M27161\\_at & M27281\\_at & M27288\\_at & M27492\\_at & M27543\\_at & M27819\\_at & M27826\\_at & M27878\\_at & M27891\\_at & M28209\\_at & M28210\\_at & M28211\\_at & M28212\\_at & M28214\\_at & M28215\\_at & M28219\\_at & M28249\\_at & M28713\\_at & M28825\\_at & M28826\\_at & M28827\\_at & M28879\\_at & M28983\\_at & M29064\\_at & M29194\\_at & M29204\\_at & M29273\\_at & M29458\\_at & M29474\\_at & M29536\\_at & M29540\\_at & M29550\\_at & M29551\\_at & M29580\\_at & M29581\\_at & M29696\\_at & M29877\\_at & M29927\\_at & M29960\\_at & M29971\\_at & M30135\\_at & M30185\\_at & M30269\\_at & M30496\\_at & M30773\\_at & M30818\\_at & M30894\\_at & M30938\\_at & M31013\\_at & M31153\\_at & M31158\\_at & M31165\\_at & M31166\\_at & M31210\\_at & M31303\\_rna1\\_at & M31328\\_at & M31520\\_at & M31525\\_at & M31606\\_at & M31627\\_at & M31642\\_at & M31651\\_at & M31659\\_at & M31661\\_at & M31682\\_at & M31899\\_at & M31951\\_at & M31994\\_at & M32011\\_at & M32053\\_at & M32313\\_at & M32315\\_at & M32334\\_at & M32373\\_at & M32402\\_at & M32405\\_at & M32598\\_at & M32639\\_at & M32886\\_at & M33195\\_at & M33308\\_at & M33336\\_at & M33374\\_at & M33478\\_at & M33518\\_at & M33521\\_at & M33552\\_at & M33653\\_at & M33680\\_at & M33764\\_at & M33882\\_at & M33987\\_at & M34041\\_at & M34057\\_at & M34065\\_at & M34079\\_at & M34175\\_at & M34181\\_at & M34182\\_at & M34192\\_at & M34309\\_at & M34344\\_at & M34423\\_at & M34455\\_at & M34539\\_at & M34667\\_at & M34668\\_at & M34677\\_at & M35128\\_at & M35198\\_at & M35252\\_at & M35296\\_at & M35416\\_at & M35531\\_at & M35878\\_at & M36067\\_at & M36089\\_at & M36200\\_at & M36205\\_at & M36341\\_at & M36803\\_at & M37033\\_at & M37104\\_at & M37190\\_at & M37197\\_at & M37245\\_at & M37400\\_at & M37435\\_at & M37583\\_at & M37721\\_at & M37763\\_at & M37766\\_at & M37815\\_cds1\\_at & M37825\\_at & M37984\\_rna1\\_at & M38591\\_at & M38690\\_at & M54927\\_at & M54951\\_at & M54968\\_at & M54992\\_at & M54995\\_at & M55040\\_at & M55047\\_at & M55067\\_at & M55131\\_at & M55150\\_at & M55153\\_at & M55172\\_at & M55210\\_at & M55265\\_at & M55267\\_at & M55268\\_at & M55284\\_at & M55420\\_at & M55531\\_at & M55542\\_at & M55543\\_at & M55593\\_at & M55621\\_at & M55671\\_at & M55905\\_at & M57230\\_at & M57293\\_at & M57399\\_at & M57471\\_at & M57506\\_rna1\\_at & M57567\\_at & M57609\\_at & M57710\\_at & M57730\\_at & M57732\\_at & M57763\\_at & M57892\\_at & M58028\\_at & M58285\\_at & M58297\\_at & M58378\\_cds1\\_at & M58459\\_at & M58583\\_at & M58597\\_at & M58600\\_rna1\\_at & M58603\\_at & M59371\\_at & M59465\\_at & M59488\\_at & M59499\\_at & M59807\\_at & M59815\\_at & M59820\\_at & M59829\\_at & M59830\\_at & M59911\\_at & M59916\\_at & M59941\\_at & M59964\\_at & M59979\\_at & M60047\\_at & M60052\\_at & M60091\\_at & M60092\\_at & M60094\\_rna1\\_at & M60165\\_cds1\\_at & M60278\\_at & M60298\\_at & M60299\\_at & M60314\\_at & M60315\\_at & M60331\\_at & M60459\\_at & M60527\\_at & M60556\\_rna2\\_at & M60626\\_at & M60721\\_at & M60724\\_at & M60748\\_at & M60749\\_at & M60752\\_at & M60830\\_at & M60854\\_at & M60858\\_rna1\\_at & M60922\\_at & M61156\\_at & M61176\\_at & M61199\\_at & M61733\\_at & M61764\\_at & M61906\\_at & M61916\\_at & M62302\\_at & M62324\\_at & M62397\\_at & M62400\\_at & M62402\\_at & M62424\\_at & M62486\\_at & M62505\\_at & M62762\\_at & M62783\\_at & M62800\\_at & M62810\\_at & M62831\\_at & M62840\\_at & M62843\\_at & M62958\\_at & M62982\\_at & M62994\\_at & M63138\\_at & M63154\\_at & M63167\\_at & M63175\\_at & M63180\\_at & M63256\\_at & M63262\\_at & M63379\\_at & M63391\\_rna1\\_at & M63483\\_at & M63488\\_at & M63573\\_at & M63582\\_at & M63589\\_at & M63603\\_at & M63623\\_at & M63835\\_at & M63896\\_at & M63904\\_at & M63928\\_at & M63959\\_at & M63962\\_rna1\\_at & M63967\\_at & M64082\\_at & M64098\\_at & M64099\\_at & M64108\\_at & M64174\\_at & M64347\\_at & M64358\\_at & M64497\\_at & M64554\\_rna1\\_at & M64571\\_at & M64572\\_at & M64590\\_at & M64595\\_at & M64673\\_at & M64676\\_at & M64716\\_at & M64788\\_at & M64925\\_at & M64929\\_at & M64930\\_at & M64934\\_at & M64936\\_at & M64992\\_at & M65066\\_at & M65085\\_at & M65131\\_rna1\\_at & M65199\\_at & M65217\\_at & M65254\\_at & M65290\\_at & M65291\\_at & M67439\\_at & M68516\\_rna1\\_at & M68520\\_at & M68840\\_at & M68864\\_at & M68874\\_at & M68891\\_at & M68895\\_rna1\\_at & M68941\\_at & M69023\\_at & M69039\\_at & M69043\\_at & M69066\\_at & M69177\\_at & M69225\\_at & M69238\\_at & M73047\\_at & M73077\\_at & M73481\\_at & M73482\\_at & M73489\\_at & M73547\\_at & M73720\\_at & M73780\\_at & M74002\\_at & M74047\\_at & M74089\\_at & M74091\\_at & M74093\\_at & M74096\\_at & M74099\\_at & M74161\\_at & M74290\\_at & M74297\\_at & M74447\\_at & M74491\\_at & M74524\\_at & M74525\\_at & M74542\\_at & M74558\\_at & M74719\\_at & M74826\\_at & M75099\\_at & M75106\\_at & M75110\\_at & M75126\\_at & M76180\\_at & M76231\\_at & M76378\\_at & M76424\\_at & M76446\\_at & M76482\\_at & M76558\\_at & M76559\\_at & M76665\\_at & M76766\\_at & M77016\\_at & M77140\\_at & M77142\\_at & M77232\\_rna1\\_at & M77235\\_at & M77349\\_at & M77698\\_at & M77810\\_at & M77836\\_at & M79462\\_at & M80244\\_at & M80254\\_at & M80333\\_at & M80335\\_at & M80359\\_at & M80478\\_at & M80482\\_at & M80563\\_at & M80629\\_at & M80647\\_at & M80783\\_at & M80899\\_at & M81057\\_at & M81118\\_at & M81379\\_at & M81601\\_at & M81637\\_at & M81750\\_at & M81757\\_at & M81758\\_at & M81780\\_cds3\\_at & M81780\\_cds4\\_at & M81780\\_cds5\\_at & M81829\\_at & M81830\\_at & M81882\\_at & M81933\\_at & M82809\\_at & M82882\\_at & M82919\\_at & M82962\\_at & M83088\\_at & M83181\\_at & M83186\\_at & M83221\\_at & M83233\\_at & M83308\\_at & M83363\\_at & M83554\\_at & M83651\\_at & M83738\\_at & M83751\\_at & M83772\\_at & M83822\\_at & M83941\\_at & M84332\\_at & M84349\\_at & M84526\\_at & M84605\\_at & M84711\\_at & M84739\\_at & M85085\\_at & M85164\\_at & M85165\\_at & M85169\\_at & M85217\\_at & M85220\\_at & M85247\\_at & M85276\\_at & M86400\\_at & M86406\\_at & M86407\\_at & M86528\\_at & M86546\\_at & M86667\\_at & M86699\\_at & M86707\\_at & M86737\\_at & M86752\\_at & M86808\\_at & M86826\\_at & M86849\\_at & M86852\\_at & M86868\\_at & M86917\\_at & M86934\\_at & M87284\\_at & M87338\\_at & M87339\\_at & M87434\\_at & M87499\\_at & M87503\\_at & M87860\\_at & M88108\\_at & M88163\\_at & M88279\\_at & M88282\\_at & M88338\\_at & M88458\\_at & M88468\\_at & M88579\\_at & M89473\\_at & M89796\\_rna1\\_at & M89955\\_at & M89957\\_at & M90299\\_at & M90359\\_at & M90366\\_at & M90516\\_at & M90656\\_at & M90657\\_at & M90696\\_at & M90820\\_at & M91029\\_cds2\\_at & M91036\\_rna1\\_at & M91083\\_at & M91196\\_at & M91432\\_at & M91438\\_at & M91467\\_at & M91585\\_at & M91592\\_at & M91670\\_at & M92287\\_at & M92303\\_at & M92357\\_at & M92424\\_at & M92432\\_at & M92439\\_at & M92449\\_at & M92934\\_at & M93036\\_at & M93056\\_at & M93107\\_at & M93119\\_at & M93221\\_at & M93283\\_at & M93284\\_at & M93405\\_at & M93415\\_at & M93425\\_at & M93426\\_at & M93650\\_at & M93718\\_at & M94065\\_at & M94077\\_at & M94151\\_at & M94167\\_at & M94250\\_at & M94345\\_at & M94362\\_at & M94547\\_at & M94556\\_at & M94630\\_at & M94633\\_at & M94856\\_at & M94893\\_at & M95167\\_at & M95178\\_at & M95549\\_at & M95610\\_at & M95623\\_cds1\\_at & M95627\\_at & M95678\\_at & M95712\\_at & M95724\\_at & M95767\\_at & M95787\\_at & M95809\\_at & M95925\\_at & M95929\\_at & M96326\\_rna1\\_at & M96684\\_at & M96739\\_at & M96740\\_at & M96759\\_rna1\\_at & M96789\\_at & M96803\\_at & M96859\\_at & M96944\\_at & M96980\\_at & M96982\\_at & M97287\\_at & M97388\\_at & M97496\\_at & M97639\\_at & M97675\\_at & M97815\\_at & M97856\\_at & M97925\\_rna1\\_at & M97936\\_at & M98045\\_at & M98343\\_at & M98447\\_rna1\\_at & M98528\\_at & M98539\\_at & M98776\\_rna1\\_at & M98833\\_at & M99063\\_at & M99487\\_at & M99564\\_at & M99701\\_at & S34389\\_at & S39329\\_at & S42303\\_at & S42457\\_at & S43646\\_at & S45630\\_at & S46622\\_at & S48983\\_at & S50223\\_at & S53911\\_at & S55606\\_at & S57235\\_at & S57887\\_at & S58544\\_at & S58733\\_at & S59049\\_at & S59184\\_at & S61953\\_at & S62539\\_at & S63912\\_at & S65583\\_rna1\\_at & S65738\\_at & S66431\\_at & S66793\\_at & S67070\\_at & S67156\\_at & S67325\\_at & S67798\\_at & S67970\\_at & S68616\\_at & S69115\\_at & S69189\\_at & S69232\\_at & S69790\\_at & S69965\\_at & S70004\\_at & S70348\\_at & S70585\\_rna1\\_at & S70609\\_at & S71018\\_at & S71129\\_at & S71824\\_at & S72008\\_at & S72370\\_at & S72487\\_at & S72869\\_at & S72904\\_at & S73149\\_at & S73205\\_at & S73591\\_at & S73813\\_at & S74017\\_at & S74221\\_at & S74445\\_at & S74683\\_at & S74728\\_at & S75168\\_rna1\\_at & S75174\\_at & S75295\\_at & S75313\\_at & S75463\\_at & S75989\\_at & S76067\\_at & S76475\\_at & S76617\\_at & S76965\\_at & S76992\\_at & S77094\\_at & S77356\\_at & S77361\\_at & S77393\\_at & S77415\\_at & S77575\\_at & S77576\\_at & S77583\\_at & S77763\\_at & S77812\\_at & S78085\\_at & S78187\\_at & S78203\\_at & S78296\\_at & S78432\\_xpt1\\_at & S78569\\_at & S78653\\_at & S78723\\_rna2\\_at & S79048\\_at & S79267\\_at & S79281\\_at & S79522\\_at & S79639\\_at & S79781\\_at & S79854\\_at & S80050\\_at & S80335\\_at & S80343\\_at & S80562\\_at & S81003\\_at & S81083\\_cds1\\_at & S81221\\_at & S81294\\_at & S81419\\_at & S81439\\_at & S81578\\_at & S81893\\_at & S81914\\_at & S81916\\_at & S81944\\_at & S81957\\_at & S82024\\_at & S82075\\_at & S82185\\_at & S82198\\_at & S82240\\_at & S82470\\_at & S82472\\_at & S82592\\_at & S83198\\_at & S83249\\_at & S83308\\_at & S83364\\_at & S83365\\_at & S83366\\_cds1\\_at & S83366\\_cds3\\_at & S83549\\_at & S85655\\_at & S85963\\_at & S87759\\_at & S90469\\_at & S94421\\_at & S95936\\_at & U00115\\_at & U00238\\_rna1\\_at & U00672\\_at & U00921\\_at & U00930\\_at & U00943\\_at & U00944\\_at & U00946\\_at & U00951\\_at & U00952\\_at & U00954\\_at & U00957\\_at & U00968\\_at & U01038\\_at & U01062\\_at & U01102\\_at & U01120\\_at & U01147\\_at & U01157\\_at & U01160\\_at & U01212\\_at & U01317\\_cds1\\_at & U01317\\_cds6\\_at & U01824\\_at & U01833\\_at & U01877\\_at & U01922\\_at & U01923\\_at & U02019\\_at & U02020\\_at & U02031\\_at & U02081\\_at & U02082\\_at & U02310\\_at & U02493\\_at & U02556\\_at & U02570\\_at & U02609\\_at & U02619\\_at & U02632\\_at & U02680\\_at & U02687\\_at & U03056\\_at & U03057\\_at & U03090\\_at & U03100\\_at & U03105\\_at & U03187\\_at & U03270\\_at & U03272\\_at & U03274\\_at & U03398\\_at & U03399\\_at & U03486\\_at & U03634\\_at & U03642\\_at & U03644\\_at & U03688\\_at & U03851\\_at & U03877\\_at & U03886\\_at & U03891\\_at & U03905\\_at & U03911\\_at & U04209\\_at & U04270\\_at & U04313\\_at & U04325\\_cds3\\_at & U04343\\_at & U04520\\_at & U04735\\_at & U04810\\_at & U04811\\_at & U04840\\_at & U04847\\_at & U04898\\_at & U05040\\_at & U05227\\_at & U05237\\_at & U05259\\_rna1\\_at & U05291\\_at & U05321\\_at & U05340\\_at & U05589\\_at & U05659\\_at & U05875\\_at & U06088\\_at & U06233\\_at & U06452\\_at & U06454\\_at & U06631\\_at & U06632\\_at & U06681\\_at & U06698\\_at & U06863\\_at & U07000\\_cds4\\_at & U07132\\_at & U07151\\_at & U07158\\_at & U07223\\_at & U07225\\_at & U07231\\_at & U07349\\_at & U07358\\_at & U07418\\_at & U07424\\_at & U07550\\_at & U07559\\_at & U07563\\_cds1\\_at & U07620\\_at & U07664\\_at & U07681\\_at & U07695\\_at & U07794\\_cds2\\_at & U07802\\_at & U07807\\_at & U07856\\_at & U07857\\_at & U07882\\_at & U07919\\_at & U08015\\_at & U08023\\_at & U08049\\_at & U08096\\_at & U08198\\_rna1\\_at & U08316\\_at & U08336\\_at & U08377\\_at & U08438\\_at & U08471\\_at & U08815\\_at & U08989\\_at & U08998\\_at & U09002\\_at & U09117\\_at & U09196\\_at & U09210\\_at & U09278\\_at & U09284\\_at & U09303\\_at & U09366\\_at & U09367\\_at & U09368\\_at & U09410\\_at & U09411\\_at & U09412\\_at & U09413\\_at & U09414\\_at & U09477\\_at & U09550\\_at & U09564\\_at & U09578\\_at & U09579\\_at & U09584\\_at & U09607\\_at & U09646\\_at & U09759\\_at & U09770\\_at & U09813\\_at & U09825\\_at & U09848\\_at & U09850\\_at & U09860\\_at & U09877\\_at & U09953\\_at & U10117\\_at & U10323\\_at & U10324\\_at & U10362\\_at & U10439\\_at & U10485\\_at & U10492\\_at & U10550\\_at & U10685\\_at & U10686\\_at & U10693\\_at & U10868\\_at & U10991\\_at & U11036\\_at & U11037\\_at & U11090\\_at & U11292\\_at & U11313\\_at & U11690\\_at & U11701\\_at & U11732\\_at & U11791\\_at & U11861\\_at & U11870\\_rna1\\_at & U11872\\_at & U11877\\_at & U11878\\_at & U12139\\_at & U12255\\_at & U12404\\_at & U12465\\_at & U12471\\_cds1\\_at & U12535\\_at & U12595\\_at & U12622\\_at & U12775\\_at & U12778\\_at & U12779\\_at & U12897\\_at & U12978\\_at & U13044\\_at & U13045\\_at & U13061\\_rna1\\_at & U13219\\_at & U13220\\_at & U13369\\_at & U13395\\_at & U13616\\_at & U13666\\_at & U13680\\_at & U13695\\_at & U13706\\_at & U13737\\_at & U13896\\_at & U13948\\_at & U13991\\_at & U14193\\_at & U14383\\_at & U14391\\_at & U14407\\_at & U14417\\_at & U14518\\_at & U14528\\_at & U14550\\_at & U14575\\_at & U14588\\_at & U14603\\_at & U14747\\_at & U14910\\_at & U14968\\_at & U14969\\_at & U14970\\_at & U14971\\_at & U14972\\_at & U14973\\_at & U15008\\_at & U15009\\_at & U15085\\_at & U15128\\_at & U15131\\_at & U15172\\_at & U15173\\_at & U15174\\_at & U15177\\_at & U15197\\_at & U15306\\_at & U15422\\_cds2\\_at & U15460\\_at & U15552\\_at & U15555\\_at & U15590\\_at & U15655\\_at & U15782\\_at & U15932\\_at & U16031\\_at & U16126\\_at & U16127\\_at & U16129\\_at & U16258\\_at & U16261\\_at & U16282\\_at & U16296\\_at & U16306\\_at & U16660\\_at & U16861\\_at & U16954\\_at & U16997\\_at & U17032\\_at & U17033\\_at & U17034\\_at & U17077\\_at & U17163\\_at & U17195\\_at & U17280\\_at & U17327\\_at & U17418\\_at & U17566\\_at & U17579\\_rna1\\_at & U17714\\_at & U17760\\_rna1\\_at & U17886\\_at & U17894\\_at & U17977\\_at & U17989\\_at & U18004\\_at & U18009\\_at & U18018\\_at & U18062\\_at & U18235\\_at & U18237\\_at & U18242\\_at & U18244\\_at & U18271\\_cds1\\_at & U18288\\_at & U18291\\_at & U18300\\_at & U18321\\_at & U18467\\_at & U18543\\_at & U18548\\_at & U18549\\_at & U18671\\_rna1\\_at & U18914\\_at & U18919\\_at & U18932\\_at & U18937\\_at & U18985\\_at & U18991\\_at & U19107\\_rna1\\_at & U19142\\_at & U19180\\_at & U19261\\_at & U19345\\_at & U19487\\_at & U19517\\_at & U19523\\_at & U19718\\_at & U19796\\_at & U19878\\_at & U19906\\_at & U19948\\_at & U19977\\_at & U20158\\_at & U20230\\_at & U20240\\_at & U20285\\_at & U20325\\_at & U20350\\_at & U20362\\_at & U20391\\_rna6\\_at & U20428\\_at & U20530\\_at & U20582\\_at & U20647\\_at & U20648\\_at & U20657\\_at & U20758\\_rna1\\_at & U20860\\_at & U20908\\_at & U20979\\_at & U20980\\_at & U20998\\_at & U21049\\_at & U21051\\_rna1\\_at & U21090\\_at & U21128\\_at & U21551\\_at & U21858\\_at & U21931\\_at & U21936\\_at & U21943\\_at & U22055\\_at & U22233\\_at & U22377\\_at & U22398\\_at & U22526\\_at & U22662\\_at & U22897\\_at & U22963\\_at & U23028\\_at & U23070\\_at & U23143\\_at & U23752\\_at & U23803\\_at & U23942\\_at & U23946\\_at & U24105\\_at & U24152\\_at & U24166\\_at & U24169\\_at & U24186\\_at & U24266\\_at & U24576\\_at & U24577\\_at & U24704\\_at & U25029\\_at & U25041\\_at & U25128\\_at & U25138\\_at & U25165\\_at & U25182\\_at & U25265\\_at & U25433\\_at & U25435\\_at & U25750\\_at & U25789\\_at & U25801\\_at & U25826\\_at & U25849\\_at & U25956\\_at & U25997\\_at & U26032\\_at & U26174\\_at & U26398\\_at & U26403\\_at & U26591\\_at & U26648\\_at & U26710\\_at & U26712\\_at & U26726\\_at & U26727\\_at & U26914\\_at & U27109\\_at & U27185\\_at & U27193\\_at & U27330\\_at & U27459\\_at & U27655\\_at & U27699\\_at & U27768\\_at & U27831\\_at & U28042\\_at & U28043\\_at & U28131\\_at & U28150\\_at & U28249\\_at & U28251\\_cds2\\_at & U28281\\_at & U28368\\_at & U28369\\_at & U28386\\_at & U28413\\_at & U28686\\_at & U28687\\_at & U28727\\_at & U28811\\_at & U28831\\_at & U28833\\_at & U28963\\_at & U29091\\_at & U29171\\_at & U29195\\_at & U29343\\_at & U29589\\_at & U29607\\_at & U29615\\_at & U29656\\_at & U29680\\_at & U29700\\_at & U29725\\_at & U29953\\_rna1\\_at & U30185\\_at & U30245\\_at & U30246\\_at & U30255\\_at & U30313\\_at & U30521\\_at & U30610\\_at & U30825\\_at & U30828\\_at & U30872\\_at & U30888\\_at & U30894\\_at & U30930\\_at & U30998\\_at & U30999\\_at & U31099\\_at & U31116\\_at & U31120\\_rna1\\_at & U31176\\_at & U31201\\_cds1\\_at & U31248\\_at & U31342\\_at & U31382\\_at & U31383\\_at & U31384\\_at & U31449\\_at & U31501\\_at & U31628\\_at & U31799\\_at & U31814\\_at & U31875\\_at & U31930\\_at & U31986\\_at & U32114\\_at & U32315\\_at & U32324\\_at & U32331\\_at & U32376\\_at & U32439\\_at & U32519\\_at & U32576\\_rna1\\_at & U32581\\_at & U32645\\_at & U32659\\_at & U32680\\_at & U32849\\_at & U32907\\_at & U32944\\_at & U32989\\_at & U33017\\_at & U33053\\_at & U33054\\_at & U33147\\_at & U33267\\_at & U33286\\_at & U33317\\_rna1\\_at & U33429\\_at & U33447\\_at & U33761\\_at & U33818\\_at & U33821\\_at & U33822\\_at & U33837\\_at & U33839\\_at & U33849\\_at & U33920\\_at & U33921\\_at & U34038\\_at & U34044\\_at & U34252\\_at & U34343\\_at & U34360\\_at & U34605\\_at & U34683\\_at & U34844\\_at & U34877\\_at & U34879\\_rna1\\_at & U34880\\_at & U34962\\_at & U34976\\_at & U35048\\_at & U35100\\_at & U35113\\_at & U35139\\_at & U35246\\_at & U35340\\_at & U35407\\_at & U35451\\_at & U35459\\_at & U35735\\_at & U36221\\_at & U36448\\_at & U36500\\_at & U36501\\_at & U36601\\_at & U36621\\_cds2\\_at & U36764\\_at & U36787\\_at & U36798\\_at & U36922\\_at & U37012\\_at & U37022\\_rna1\\_at & U37122\\_at & U37139\\_at & U37143\\_at & U37219\\_at & U37221\\_at & U37248\\_at & U37251\\_at & U37283\\_at & U37352\\_at & U37359\\_at & U37408\\_at & U37431\\_at & U37518\\_at & U37519\\_at & U37529\\_at & U37547\\_at & U37673\\_at & U37689\\_at & U37690\\_at & U37707\\_at & U38175\\_at & U38268\\_at & U38372\\_at & U38480\\_at & U38545\\_at & U38810\\_at & U38846\\_at & U38847\\_at & U38864\\_at & U38896\\_at & U38904\\_at & U38980\\_at & U39196\\_at & U39226\\_at & U39231\\_at & U39317\\_at & U39318\\_at & U39400\\_at & U39412\\_at & U39447\\_at & U39487\\_at & U39573\\_at & U39576\\_at & U39657\\_at & U39817\\_at & U39840\\_at & U39905\\_at & U40038\\_at & U40215\\_at & U40223\\_at & U40282\\_at & U40343\\_at & U40369\\_rna1\\_at & U40370\\_at & U40371\\_at & U40372\\_at & U40380\\_at & U40391\\_rna1\\_at & U40434\\_at & U40462\\_at & U40490\\_at & U40572\\_at & U40622\\_at & U40714\\_at & U40990\\_at & U40992\\_at & U40998\\_at & U41060\\_at & U41344\\_at & U41371\\_at & U41387\\_at & U41515\\_at & U41635\\_at & U41668\\_at & U41737\\_at & U41745\\_at & U41763\\_at & U41804\\_at & U41813\\_at & U41815\\_at & U41816\\_at & U41898\\_at & U42031\\_at & U42359\\_at & U42360\\_cds2\\_at & U42387\\_at & U42390\\_at & U42408\\_at & U42412\\_at & U43030\\_at & U43077\\_at & U43083\\_at & U43142\\_at & U43148\\_at & U43177\\_at & U43279\\_at & U43286\\_at & U43292\\_at & U43318\\_at & U43328\\_at & U43374\\_at & U43408\\_at & U43431\\_at & U43519\\_at & U43522\\_at & U43527\\_at & U43586\\_at & U43672\\_at & U43753\\_cds2\\_at & U43843\\_at & U43885\\_at & U43899\\_at & U43923\\_at & U43959\\_at & U43965\\_at & U44059\\_at & U44060\\_at & U44111\\_at & U44378\\_at & U44429\\_at & U44754\\_at & U44755\\_at & U44772\\_at & U44839\\_at & U44848\\_at & U44975\\_at & U45285\\_at & U45880\\_at & U45955\\_at & U45973\\_at & U45974\\_at & U45975\\_at & U45976\\_at & U45982\\_at & U45983\\_at & U46023\\_at & U46024\\_at & U46025\\_at & U46116\\_at & U46194\\_at & U46461\\_at & U46499\\_at & U46569\\_at & U46570\\_at & U46571\\_at & U46689\\_at & U46692\\_rna1\\_at & U46751\\_at & U46752\\_at & U46767\\_at & U46901\\_at & U47007\\_at & U47011\\_cds1\\_at & U47050\\_at & U47054\\_at & U47101\\_at & U47105\\_at & U47334\\_at & U47414\\_at & U47621\\_at & U47634\\_at & U47635\\_at & U47742\\_at & U47926\\_at & U47927\\_at & U47928\\_at & U47931\\_at & U48213\\_at & U48231\\_at & U48250\\_at & U48251\\_at & U48263\\_at & U48296\\_at & U48405\\_at & U48408\\_at & U48437\\_at & U48697\\_at & U48707\\_at & U48736\\_at & U48807\\_at & U48861\\_at & U48936\\_at & U48959\\_at & U49065\\_at & U49070\\_at & U49082\\_at & U49089\\_at & U49114\\_at & U49187\\_at & U49188\\_at & U49248\\_at & U49250\\_at & U49260\\_at & U49278\\_at & U49352\\_at & U49379\\_at & U49395\\_at & U49436\\_at & U49742\\_at & U49785\\_at & U49837\\_at & U49844\\_at & U49857\\_at & U49869\\_rna1\\_at & U49928\\_at & U49973\\_xpt1\\_at & U49973\\_xpt2\\_at & U50062\\_at & U50078\\_at & U50136\\_rna1\\_at & U50146\\_at & U50315\\_at & U50330\\_at & U50383\\_at & U50523\\_at & U50531\\_at & U50534\\_at & U50535\\_at & U50553\\_at & U50708\\_at & U50733\\_at & U50743\\_at & U50839\\_at & U50928\\_at & U50929\\_at & U50939\\_at & U50950\\_at & U51004\\_at & U51095\\_at & U51096\\_at & U51127\\_at & U51166\\_at & U51205\\_at & U51240\\_at & U51241\\_at & U51269\\_at & U51334\\_at & U51336\\_at & U51432\\_at & U51477\\_at & U51478\\_at & U51561\\_at & U51586\\_at & U51587\\_at & U51678\\_at & U51711\\_at & U51903\\_at & U51920\\_at & U51990\\_at & U52100\\_at & U52101\\_at & U52111\\_rna3\\_at & U52111\\_rna4\\_at & U52112\\_rna1\\_at & U52112\\_rna5\\_at & U52152\\_at & U52153\\_at & U52154\\_at & U52155\\_at & U52426\\_at & U52427\\_rna1\\_at & U52513\\_at & U52518\\_at & U52521\\_at & U52522\\_at & U52682\\_at & U52700\\_at & U52827\\_at & U52830\\_at & U52840\\_at & U52960\\_at & U52969\\_at & U53003\\_at & U53174\\_at & U53209\\_at & U53225\\_at & U53347\\_at & U53442\\_at & U53445\\_at & U53446\\_at & U53468\\_at & U53476\\_at & U53506\\_at & U53786\\_at & U53830\\_at & U54617\\_at & U54778\\_at & U54804\\_at & U54999\\_at & U55054\\_at & U55206\\_at & U55209\\_at & U55258\\_at & U55764\\_at & U55766\\_at & U55853\\_at & U55936\\_at & U56085\\_at & U56102\\_at & U56244\\_at & U56417\\_at & U56418\\_at & U56637\\_at & U56814\\_at & U56816\\_at & U56833\\_at & U56976\\_at & U56998\\_at & U57057\\_at & U57092\\_at & U57093\\_at & U57094\\_at & U57099\\_at & U57316\\_at & U57317\\_at & U57342\\_at & U57352\\_at & U57450\\_at & U57452\\_at & U57592\\_at & U57629\\_at & U57650\\_at & U57721\\_at & U57796\\_at & U57877\\_at & U57911\\_at & U58032\\_at & U58033\\_at & U58034\\_at & U58048\\_at & U58087\\_at & U58089\\_at & U58090\\_at & U58091\\_at & U58096\\_at & U58130\\_at & U58331\\_at & U58334\\_at & U58522\\_at & U58658\\_at & U58681\\_at & U58682\\_at & U58766\\_at & U58970\\_at & U59057\\_at & U59111\\_at & U59228\\_at & U59286\\_at & U59289\\_at & U59302\\_at & U59309\\_at & U59321\\_at & U59325\\_at & U59423\\_at & U59736\\_at & U59748\\_at & U59752\\_at & U59863\\_at & U59878\\_at & U59913\\_at & U59914\\_at & U59919\\_at & U60060\\_at & U60062\\_at & U60115\\_at & U60116\\_at & U60205\\_at & U60269\\_cds1\\_at & U60269\\_cds2\\_at & U60269\\_cds3\\_at & U60276\\_at & U60319\\_at & U60325\\_at & U60415\\_at & U60519\\_at & U60521\\_at & U60644\\_at & U60665\\_at & U60666\\_at & U60800\\_at & U60805\\_at & U60873\\_at & U60975\\_at & U61145\\_at & U61166\\_at & U61167\\_at & U61232\\_at & U61234\\_at & U61262\\_at & U61263\\_at & U61374\\_at & U61538\\_at & U61741\\_at & U61836\\_at & U61849\\_at & U62015\\_at & U62136\\_at & U62317\\_rna3\\_at & U62317\\_rna6\\_at & U62317\\_rna7\\_at & U62325\\_at & U62389\\_at & U62431\\_at & U62433\\_at & U62437\\_at & U62531\\_at & U62739\\_at & U62800\\_at & U62801\\_at & U62961\\_at & U62962\\_at & U62966\\_at & U63090\\_at & U63139\\_at & U63289\\_at & U63295\\_at & U63312\\_at & U63329\\_at & U63332\\_at & U63336\\_at & U63455\\_at & U63541\\_at & U63542\\_at & U63717\\_at & U63743\\_at & U63824\\_at & U63825\\_at & U63842\\_at & U64105\\_at & U64197\\_at & U64198\\_at & U64444\\_at & U64520\\_at & U64675\\_at & U64863\\_at & U64871\\_at & U64998\\_at & U65002\\_at & U65011\\_at & U65092\\_at & U65093\\_at & U65402\\_at & U65404\\_at & U65406\\_rna4\\_at & U65410\\_at & U65437\\_rna1\\_at & U65579\\_at & U65581\\_at & U65676\\_at & U65785\\_at & U65928\\_at & U65932\\_at & U66033\\_at & U66036\\_at & U66048\\_at & U66052\\_at & U66059\\_cds7\\_at & U66075\\_at & U66083\\_at & U66088\\_at & U66198\\_at & U66359\\_at & U66406\\_at & U66464\\_at & U66468\\_at & U66469\\_at & U66497\\_at & U66559\\_at & U66561\\_at & U66578\\_at & U66580\\_at & U66581\\_at & U66615\\_at & U66616\\_at & U66617\\_at & U66618\\_at & U66619\\_at & U66661\\_at & U66669\\_at & U66702\\_at & U66838\\_at & U66879\\_at & U67156\\_at & U67171\\_at & U67191\\_at & U67319\\_at & U67369\\_at & U67611\\_at & U67614\\_at & U67674\\_at & U67733\\_at & U67784\\_at & U67849\\_at & U67934\\_at & U67963\\_at & U67988\\_at & U68018\\_at & U68019\\_at & U68030\\_at & U68031\\_at & U68063\\_at & U68111\\_at & U68133\\_at & U68142\\_at & U68233\\_at & U68385\\_at & U68485\\_at & U68488\\_at & U68494\\_at & U68536\\_at & U68566\\_at & U68723\\_at & U68727\\_at & U69108\\_at & U69127\\_at & U69141\\_at & U69263\\_at & U69546\\_at & U69645\\_at & U69961\\_at & U70063\\_at & U70136\\_at & U70321\\_at & U70322\\_at & U70323\\_at & U70370\\_at & U70426\\_at & U70451\\_at & U70660\\_at & U70663\\_at & U70671\\_at & U70732\\_rna1\\_at & U70735\\_at & U70862\\_at & U70867\\_at & U70981\\_at & U70987\\_at & U71087\\_at & U71088\\_at & U71092\\_at & U71207\\_at & U71300\\_at & U71364\\_at & U71374\\_at & U71598\\_at & U71601\\_at & U72066\\_at & U72206\\_at & U72209\\_at & U72342\\_at & U72507\\_at & U72508\\_at & U72511\\_at & U72512\\_at & U72514\\_at & U72515\\_at & U72517\\_at & U72621\\_at & U72661\\_at & U72671\\_at & U72761\\_at & U73167\\_cds3\\_at & U73167\\_cds4\\_at & U73167\\_cds5\\_at & U73167\\_cds7\\_at & U73191\\_at & U73304\\_rna1\\_at & U73328\\_at & U73330\\_at & U73338\\_at & U73377\\_at & U73379\\_at & U73499\\_at & U73514\\_at & U73524\\_at & U73682\\_at & U73704\\_at & U73737\\_at & U73799\\_at & U73824\\_at & U73843\\_at & U73960\\_at & U74612\\_at & U74667\\_at & U75308\\_at & U75362\\_at & U75370\\_at & U75679\\_at & U75968\\_at & U76010\\_at & U76189\\_at & U76272\\_at & U76369\\_at & U76421\\_at & U76456\\_at & U76638\\_at & U76992\\_at & U77129\\_at & U77180\\_at & U77396\\_at & U77413\\_at & U77456\\_at & U77594\\_at & U77604\\_at & U77643\\_at & U77664\\_at & U77665\\_at & U77718\\_at & U77735\\_at & U77827\\_at & U77845\\_at & U77948\\_at & U77949\\_at & U77968\\_at & U77970\\_at & U77975\\_at & U78027\\_rna3\\_at & U78027\\_rna4\\_at & U78095\\_at & U78107\\_at & U78180\\_at & U78190\\_rna1\\_at & U78313\\_at & U78521\\_at & U78524\\_at & U78525\\_at & U78551\\_at & U78556\\_at & U78575\\_at & U78628\\_at & U78678\\_at & U78722\\_at & U78735\\_at & U78793\\_at & U78798\\_at & U78876\\_at & U79241\\_at & U79242\\_at & U79245\\_at & U79246\\_at & U79247\\_at & U79248\\_at & U79249\\_at & U79251\\_at & U79252\\_at & U79253\\_at & U79254\\_at & U79255\\_at & U79256\\_at & U79257\\_at & U79258\\_at & U79259\\_at & U79260\\_at & U79262\\_at & U79263\\_at & U79265\\_at & U79266\\_at & U79267\\_at & U79270\\_at & U79271\\_at & U79272\\_at & U79273\\_at & U79274\\_at & U79275\\_at & U79277\\_at & U79280\\_at & U79282\\_at & U79285\\_at & U79286\\_at & U79287\\_at & U79288\\_at & U79289\\_at & U79290\\_at & U79291\\_at & U79293\\_at & U79294\\_at & U79295\\_at & U79296\\_at & U79297\\_at & U79298\\_at & U79299\\_at & U79300\\_at & U79301\\_at & U79302\\_at & U79303\\_at & U79304\\_at & U79526\\_at & U79716\\_at & U79718\\_at & U79725\\_at & U79734\\_at & U79751\\_at & U80017\\_rna1\\_at & U80017\\_rna2\\_at & U80017\\_rna3\\_at & U80034\\_at & U80040\\_at & U80073\\_at & U80184\\_rna1\\_at & U80456\\_at & U80457\\_at & U80628\\_at & U80669\\_at & U80811\\_at & U81001\\_at & U81006\\_at & U81262\\_at & U81375\\_at & U81523\\_at & U81554\\_at & U81556\\_at & U81599\\_at & U81600\\_at & U81607\\_at & U81787\\_at & U81802\\_at & U81984\\_at & U82010\\_rna1\\_at & U82130\\_at & U82169\\_at & U82256\\_at & U82275\\_at & U82303\\_at & U82306\\_at & U82310\\_at & U82311\\_at & U82313\\_at & U82319\\_at & U82320\\_at & U82321\\_at & U82468\\_at & U82532\\_at & U82535\\_at & U82613\\_at & U82668\\_rna1\\_at & U82671\\_cds2\\_at & U82759\\_at & U82818\\_at & U82970\\_at & U82987\\_at & U83115\\_at & U83192\\_at & U83246\\_at & U83303\\_cds2\\_at & U83410\\_at & U83411\\_at & U83461\\_at & U83463\\_at & U83600\\_at & U83601\\_at & U83843\\_at & U83908\\_at & U84487\\_at & U84540\\_at & U84551\\_cds2\\_at & U84569\\_at & U84573\\_at & U84720\\_at & U85193\\_at & U85245\\_at & U85265\\_at & U85267\\_at & U85430\\_at & U85611\\_at & U85658\\_at & U85707\\_at & U85767\\_at & U85943\\_at & U85946\\_at & U85992\\_at & U86070\\_at & U86136\\_at & U86214\\_at & U86358\\_at & U86409\\_at & U86529\\_at & U86602\\_at & U86782\\_at & U87223\\_at & U87269\\_at & U87309\\_at & U87408\\_at & U87459\\_at & U87460\\_at & U87964\\_at & U87972\\_at & U88047\\_at & U88629\\_at & U88666\\_at & U88667\\_at & U88726\\_at & U88871\\_at & U88892\\_at & U88964\\_at & U89012\\_at & U89278\\_at & U89326\\_at & U89335\\_cds2\\_at & U89336\\_cds1\\_at & U89336\\_cds3\\_at & U89336\\_cds4\\_at & U89336\\_cds6\\_at & U89336\\_cds7\\_at & U89336\\_cds8\\_at & U89355\\_at & U89505\\_at & U89606\\_at & U89717\\_at & U89896\\_at & U89916\\_at & U89942\\_at & U89995\\_at & U90268\\_at & U90304\\_at & U90306\\_at & U90313\\_at & U90336\\_at & U90426\\_at & U90437\\_at & U90544\\_at & U90547\\_at & U90549\\_at & U90550\\_at & U90551\\_at & U90651\\_at & U90716\\_at & U90878\\_at & U90902\\_at & U90904\\_at & U90905\\_at & U90907\\_at & U90908\\_at & U90909\\_at & U90910\\_at & U90911\\_at & U90912\\_at & U90913\\_at & U90914\\_at & U90915\\_at & U90916\\_at & U90918\\_at & U90919\\_at & U91316\\_at & U91327\\_at & U91521\\_at & U91616\\_at & U91618\\_at & U91903\\_at & U91930\\_at & U91931\\_at & U91932\\_at & U91985\\_at & U92014\\_at & U92015\\_at & U92436\\_at & U92458\\_at & U92459\\_at & U92971\\_at & U93049\\_at & U93091\\_at & U93205\\_at & U93237\\_rna2\\_at & U93553\\_at & U93867\\_at & U94319\\_at & U94320\\_at & U94332\\_at & U94333\\_at & U94585\\_at & U94586\\_at & U94592\\_at & U94747\\_at & U94831\\_at & U94855\\_at & U95006\\_at & U95020\\_at & U95040\\_at & U95090\\_at & U95626\\_rna1\\_at & U95740\\_rna1\\_at & U95740\\_rna2\\_at & U96094\\_at & U96113\\_at & U96114\\_at & U96115\\_at & U96191\\_at & U96629\\_rna1\\_at & U96629\\_rna2\\_at & U96769\\_rna1\\_at & U96781\\_cds1\\_at & U96915\\_at & U96922\\_at & U97018\\_at & U97105\\_at & U97188\\_at & U97502\\_rna1\\_at & V00503\\_at & V00563\\_at & V00571\\_rna1\\_at & V00572\\_at & V01510\\_rna1\\_at & V01512\\_rna1\\_at & V01514\\_at & V01515\\_cds1\\_at & X00129\\_at & X00237\\_at & X00274\\_at & X00368\\_xpt2\\_at & X00371\\_rna1\\_at & X00588\\_at & X00734\\_at & X01057\\_at & X01059\\_at & X01060\\_at & X01388\\_at & X01630\\_at & X01715\\_at & X02152\\_at & X02158\\_rna1\\_at & X02317\\_at & X02404\\_at & X02530\\_at & X02544\\_at & X02596\\_at & X02612\\_at & X02750\\_at & X02751\\_at & X02874\\_at & X02910\\_at & X03066\\_at & X03072\\_at & X03100\\_cds2\\_at & X03168\\_at & X03342\\_at & X03473\\_at & X03484\\_at & X03635\\_at & X03656\\_rna1\\_at & X03663\\_at & X03934\\_at & X04011\\_at & X04085\\_rna1\\_at & X04106\\_at & X04143\\_at & X04145\\_at & X04201\\_at & X04297\\_at & X04325\\_at & X04327\\_at & X04366\\_at & X04391\\_at & X04412\\_at & X04434\\_at & X04500\\_at & X04571\\_at & X04688\\_at & X04707\\_at & X04741\\_at & X04828\\_at & X04898\\_rna1\\_at & X05153\\_rna1\\_at & X05196\\_at & X05232\\_at & X05246\\_at & X05276\\_at & X05299\\_at & X05323\\_at & X05360\\_at & X05409\\_at & X05608\\_at & X05615\\_at & X05908\\_at & X05997\\_at & X06256\\_at & X06272\\_at & X06290\\_at & X06323\\_at & X06389\\_at & X06482\\_at & X06562\\_at & X06614\\_at & X06617\\_at & X06661\\_at & X06745\\_at & X06948\\_at & X06985\\_at & X07024\\_at & X07109\\_at & X07173\\_at & X07290\\_at & X07315\\_at & X07384\\_at & X07495\\_at & X07695\\_at & X07696\\_at & X07732\\_at & X07743\\_at & X07767\\_at & X07820\\_at & X07834\\_at & X07876\\_at & X07948\\_at & X07979\\_at & X07994\\_at & X12433\\_at & X12447\\_at & X12451\\_at & X12453\\_at & X12458\\_rna1\\_at & X12492\\_at & X12517\\_at & X12556\\_at & X12662\\_rna1\\_at & X12791\\_at & X12794\\_at & X12901\\_at & X13227\\_at & X13238\\_at & X13255\\_at & X13293\\_at & X13334\\_at & X13444\\_at & X13482\\_at & X13546\\_rna1\\_at & X13589\\_at & X13794\\_rna1\\_at & X13839\\_at & X13916\\_at & X13956\\_at & X13967\\_at & X13973\\_at & X14046\\_at & X14329\\_at & X14346\\_at & X14362\\_at & X14445\\_at & X14448\\_at & X14675\\_at & X14787\\_at & X14789\\_at & X14813\\_at & X14830\\_at & X14850\\_at & X14894\\_at & X14968\\_at & X14975\\_at & X15088\\_at & X15183\\_at & X15187\\_at & X15217\\_at & X15218\\_at & X15306\\_rna1\\_at & X15341\\_at & X15357\\_at & X15376\\_at & X15393\\_rna1\\_at & X15414\\_at & X15525\\_rna1\\_at & X15573\\_at & X15722\\_at & X15822\\_at & X15875\\_at & X15880\\_at & X15882\\_at & X15940\\_at & X15943\\_at & X15949\\_at & X16064\\_at & X16135\\_at & X16282\\_at & X16316\\_at & X16354\\_at & X16396\\_at & X16416\\_at & X16560\\_at & X16662\\_at & X16663\\_at & X16665\\_at & X16667\\_at & X16706\\_at & X16707\\_at & X16832\\_at & X16901\\_at & X16983\\_at & X17025\\_at & X17042\\_at & X17094\\_at & X17098\\_at & X17206\\_at & X17254\\_at & X17576\\_at & X17620\\_at & X17622\\_at & X17648\\_at & X17651\\_at & X51405\\_at & X51408\\_at & X51417\\_at & X51420\\_at & X51466\\_at & X51521\\_at & X51602\\_at & X51630\\_at & X51688\\_at & X51730\\_at & X51757\\_at & X51801\\_at & X51804\\_at & X51952\\_xpt1\\_at & X51953\\_at & X51954\\_at & X51956\\_rna1\\_at & X51985\\_at & X52001\\_at & X52003\\_at & X52005\\_at & X52008\\_at & X52011\\_at & X52056\\_at & X52142\\_at & X52151\\_at & X52192\\_at & X52221\\_at & X52425\\_at & X52479\\_at & X52520\\_at & X52541\\_at & X52599\\_at & X52638\\_at & X52730\\_rna1\\_at & X52773\\_at & X52851\\_rna1\\_at & X52882\\_at & X52943\\_at & X52947\\_at & X52966\\_at & X53331\\_at & X53414\\_at & X53416\\_at & X53586\\_rna1\\_at & X53587\\_at & X53742\\_at & X53777\\_at & X53793\\_at & X53795\\_at & X53961\\_at & X54131\\_at & X54150\\_at & X54162\\_at & X54232\\_at & X54304\\_at & X54326\\_at & X54380\\_at & X54637\\_at & X54673\\_at & X54816\\_at & X54870\\_at & X54871\\_at & X54925\\_at & X54936\\_at & X54938\\_at & X54941\\_at & X54942\\_at & X55079\\_rna1\\_at & X55330\\_at & X55448\\_cds2\\_at & X55544\\_at & X55666\\_at & X55668\\_at & X55715\\_at & X55733\\_at & X55740\\_at & X55777\\_cds2\\_at & X55885\\_at & X55889\\_at & X55954\\_at & X56199\\_at & X56253\\_rna1\\_at & X56411\\_rna1\\_at & X56465\\_at & X56468\\_at & X56494\\_at & X56654\\_at & X56667\\_at & X56677\\_at & X56692\\_at & X56741\\_at & X56807\\_at & X56932\\_at & X56997\\_rna1\\_at & X57025\\_at & X57129\\_at & X57206\\_at & X57303\\_at & X57346\\_at & X57398\\_at & X57522\\_at & X57766\\_at & X57830\\_at & X57959\\_at & X58022\\_at & X58079\\_at & X58234\\_at & X58255\\_at & X58288\\_at & X58377\\_at & X58521\\_at & X58529\\_at & X58723\\_at & X58964\\_at & X58987\\_at & X59065\\_at & X59131\\_at & X59350\\_at & X59372\\_at & X59373\\_at & X59405\\_at & X59417\\_at & X59434\\_at & X59543\\_at & X59618\\_at & X59656\\_at & X59710\\_at & X59711\\_at & X59727\\_at & X59766\\_at & X59770\\_at & X59798\\_at & X59812\\_at & X59834\\_at & X59841\\_at & X59871\\_at & X59892\\_at & X60036\\_at & X60188\\_at & X60221\\_at & X60382\\_rna1\\_at & X60483\\_at & X60484\\_at & X60486\\_at & X60489\\_at & X60592\\_at & X60655\\_at & X60673\\_rna1\\_at & X60708\\_at & X60957\\_at & X60992\\_at & X61070\\_at & X61072\\_at & X61079\\_at & X61100\\_rna1\\_at & X61118\\_rna1\\_at & X61123\\_at & X61177\\_at & X61373\\_at & X61587\\_at & X61615\\_at & X61970\\_at & X62025\\_rna1\\_at & X62048\\_at & X62055\\_at & X62078\\_at & X62320\\_at & X62466\\_at & X62535\\_at & X62573\\_at & X62654\\_rna1\\_at & X62691\\_at & X62744\\_at & X62822\\_at & X63097\\_at & X63187\\_at & X63337\\_at & X63359\\_at & X63380\\_at & X63417\\_at & X63422\\_at & X63454\\_at & X63469\\_at & X63527\\_at & X63546\\_at & X63563\\_at & X63578\\_rna1\\_at & X63597\\_at & X63629\\_at & X63657\\_at & X63679\\_at & X63692\\_at & X63753\\_at & X63755\\_at & X63759\\_at & X64037\\_at & X64044\\_at & X64229\\_at & X64269\\_at & X64330\\_at & X64364\\_at & X64559\\_at & X64594\\_at & X64643\\_at & X64707\\_at & X64728\\_at & X64810\\_at & X64838\\_at & X64878\\_at & X65233\\_at & X65293\\_at & X65550\\_at & X65614\\_at & X65633\\_at & X65644\\_at & X65663\\_at & X65724\\_at & X65867\\_at & X65873\\_at & X65977\\_at & X66079\\_at & X66114\\_rna1\\_at & X66141\\_at & X66171\\_at & X66358\\_at & X66360\\_at & X66362\\_at & X66363\\_at & X66364\\_at & X66365\\_at & X66397\\_at & X66401\\_cds1\\_at & X66403\\_at & X66417\\_at & X66436\\_at & X66503\\_at & X66533\\_at & X66534\\_at & X66610\\_at & X66839\\_at & X66867\\_cds1\\_at & X66899\\_at & X66922\\_at & X66945\\_at & X67081\\_at & X67098\\_at & X67155\\_at & X67247\\_rna1\\_at & X67318\\_at & X67325\\_at & X67337\\_at & X67594\\_at & X67683\\_at & X67697\\_at & X67698\\_at & X67734\\_at & X67951\\_at & X68149\\_at & X68194\\_at & X68242\\_at & X68264\\_rna1\\_at & X68277\\_at & X68314\\_at & X68486\\_at & X68487\\_at & X68560\\_at & X68561\\_at & X68733\\_rna1\\_at & X68742\\_at & X68836\\_at & X68994\\_at & X69089\\_at & X69090\\_at & X69111\\_at & X69141\\_at & X69150\\_at & X69391\\_at & X69398\\_at & X69433\\_at & X69550\\_at & X69636\\_at & X69699\\_at & X69819\\_at & X69838\\_at & X69878\\_at & X69908\\_rna1\\_at & X69910\\_at & X69978\\_at & X70040\\_at & X70070\\_at & X70083\\_at & X70218\\_at & X70297\\_at & X70340\\_at & X70394\\_at & X70476\\_at & X70649\\_at & X70683\\_at & X70991\\_at & X71125\\_at & X71129\\_at & X71135\\_at & X71348\\_at & X71428\\_at & X71490\\_at & X71874\\_cds1\\_at & X71877\\_at & X71973\\_at & X72012\\_at & X72177\\_rna1\\_at & X72308\\_at & X72755\\_at & X72790\\_at & X72841\\_at & X72879\\_at & X72882\\_at & X72925\\_at & X72964\\_at & X73079\\_at & X73113\\_at & X73460\\_at & X73501\\_at & X73608\\_at & X73874\\_at & X73882\\_at & X74008\\_at & X74039\\_at & X74104\\_at & X74262\\_at & X74295\\_at & X74328\\_rna1\\_at & X74330\\_at & X74331\\_at & X74496\\_at & X74570\\_at & X74614\\_at & X74764\\_at & X74794\\_at & X74795\\_at & X74801\\_at & X74819\\_at & X74837\\_at & X75042\\_at & X75208\\_at & X75252\\_at & X75304\\_at & X75308\\_at & X75315\\_at & X75342\\_at & X75535\\_at & X75546\\_at & X75593\\_at & X75756\\_at & X75861\\_at & X75917\\_at & X75958\\_at & X75962\\_at & X76013\\_at & X76029\\_at & X76040\\_at & X76057\\_at & X76059\\_at & X76061\\_at & X76092\\_at & X76104\\_at & X76105\\_at & X76132\\_at & X76180\\_at & X76228\\_at & X76302\\_at & X76342\\_at & X76383\\_at & X76498\\_at & X76534\\_at & X76538\\_at & X76648\\_at & X76717\\_at & X76732\\_at & X76770\\_at & X77094\\_at & X77166\\_at & X77197\\_at & X77307\\_at & X77366\\_at & X77383\\_at & X77533\\_at & X77548\\_at & X77584\\_at & X77737\\_at & X77744\\_at & X77748\\_at & X77794\\_at & X77909\\_at & X78031\\_at & X78121\\_at & X78136\\_at & X78342\\_at & X78520\\_at & X78549\\_at & X78565\\_at & X78578\\_at & X78627\\_at & X78669\\_at & X78678\\_at & X78687\\_at & X78706\\_at & X78710\\_at & X78817\\_at & X78924\\_at & X78925\\_at & X78926\\_at & X78933\\_at & X78992\\_at & X79066\\_at & X79067\\_at & X79201\\_at & X79204\\_at & X79234\\_at & X79353\\_at & X79439\\_at & X79440\\_at & X79483\\_at & X79510\\_at & X79536\\_at & X79568\\_at & X79780\\_at & X79781\\_at & X79865\\_at & X79882\\_at & X79888\\_at & X79981\\_at & X79984\\_at & X80026\\_at & X80062\\_at & X80198\\_at & X80199\\_at & X80200\\_at & X80230\\_at & X80343\\_at & X80497\\_at & X80507\\_at & X80590\\_at & X80692\\_at & X80695\\_at & X80754\\_at & X80822\\_at & X80907\\_at & X80909\\_at & X80910\\_at & X80915\\_rna1\\_at & X80923\\_at & X81003\\_at & X81198\\_at & X81333\\_at & X81372\\_at & X81420\\_at & X81438\\_at & X81479\\_at & X81636\\_at & X81788\\_at & X81817\\_at & X81882\\_at & X81889\\_at & X81892\\_at & X81895\\_at & X82018\\_at & X82068\\_at & X82103\\_at & X82125\\_at & X82153\\_at & X82200\\_at & X82207\\_at & X82224\\_at & X82240\\_rna1\\_at & X82324\\_at & X82434\\_at & X82456\\_at & X82494\\_at & X82539\\_at & X82554\\_rna1\\_at & X82629\\_at & X82634\\_at & X82676\\_at & X82693\\_at & X82877\\_at & X82895\\_at & X83107\\_at & X83127\\_at & X83218\\_at & X83368\\_at & X83378\\_at & X83412\\_at & X83425\\_at & X83441\\_at & X83543\\_at & X83572\\_at & X83573\\_at & X83618\\_at & X83703\\_at & X83928\\_at & X83973\\_at & X84002\\_at & X84003\\_at & X84194\\_at & X84195\\_at & X84373\\_at & X84707\\_rna1\\_at & X84709\\_at & X84740\\_at & X84746\\_at & X84908\\_at & X85106\\_at & X85133\\_at & X85134\\_rna1\\_at & X85178\\_at & X85237\\_at & X85372\\_at & X85373\\_at & X85545\\_at & X85740\\_at & X85750\\_at & X85753\\_at & X85785\\_rna1\\_at & X85786\\_at & X86012\\_at & X86018\\_at & X86019\\_at & X86098\\_at & X86163\\_at & X86400\\_at & X86564\\_at & X86570\\_at & X86681\\_at & X86691\\_at & X86693\\_at & X86779\\_at & X86809\\_at & X86816\\_at & X87159\\_at & X87160\\_at & X87176\\_at & X87212\\_at & X87237\\_at & X87241\\_at & X87342\\_at & X87613\\_at & X87767\\_at & X87838\\_at & X87843\\_at & X87852\\_at & X87870\\_at & X87904\\_at & X89059\\_at & X89066\\_at & X89067\\_at & X89211\\_at & X89267\\_at & X89398\\_cds2\\_at & X89416\\_at & X89426\\_at & X89576\\_at & X89750\\_at & X89894\\_at & X89960\\_at & X89984\\_at & X89985\\_at & X90568\\_at & X90761\\_at & X90763\\_at & X90780\\_rna1\\_at & X90828\\_at & X90840\\_at & X90857\\_at & X90858\\_at & X90872\\_at & X90908\\_at & X90978\\_at & X90999\\_at & X91103\\_at & X91117\\_rna1\\_at & X91141\\_at & X91148\\_at & X91220\\_at & X91247\\_at & X91249\\_at & X91257\\_at & X91348\\_at & X91504\\_at & X91648\\_at & X91788\\_at & X91809\\_at & X91868\\_at & X91992\\_at & X92098\\_at & X92106\\_at & X92110\\_at & X92396\\_at & X92475\\_at & X92521\\_at & X92689\\_at & X92715\\_at & X92720\\_at & X92744\\_at & X92762\\_at & X92814\\_at & X92896\\_at & 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Z83821\\_cds2\\_at & Z84483\\_at & Z84718\\_cds1\\_at & Z84721\\_cds1\\_at & Z84721\\_cds2\\_at & Z84722\\_at & Z93784\\_at & Z95624\\_at & Z96810\\_at & Z97054\\_xpt2\\_at & Z97074\\_at & AB002332\\_at & AB002533\\_at & AB006782\\_at & AF001548\\_rna1\\_at & D00860\\_at & D10040\\_at & D10925\\_at & D13146\\_cds1\\_at & D16105\\_at & D16480\\_at & D16481\\_at & D17532\\_at & D21235\\_at & D25304\\_at & D26070\\_at & D28791\\_at & D29805\\_at & D31889\\_at & D38073\\_at & D38081\\_at & D38122\\_at & D38502\\_at & D43968\\_at & D45132\\_at & D50405\\_at & D50550\\_at & D64108\\_at & D80000\\_at & D82347\\_at & D83646\\_at & D86550\\_at & D86958\\_at & D86988\\_at & D87002\\_cds2\\_at & HG162-HT3165\\_at & HG2465-HT4871\\_at & HG2743-HT2845\\_at & HG2841-HT2970\\_at & HG2846-HT2983\\_at & HG3543-HT3739\\_at & HG3859-HT4129\\_at & HG4679-HT5104\\_at & HG651-HT4201\\_at & J00220\\_cds4\\_at & J02783\\_at & J02986\\_cds1\\_at & J03027\\_at & J04168\\_at & J04182\\_at & J04449\\_at & J04513\\_at & J05633\\_at & K01900\\_at & K02766\\_at & L00058\\_at & L00205\\_at & L04282\\_at & L04569\\_at & L04731\\_at & L04751\\_at & L06133\\_at & L07615\\_at & L07648\\_at & L07919\\_at & L08895\\_at & L10413\\_at & L11066\\_at & L11284\\_at & L11702\\_at & L12052\\_at & L13744\\_at & L13773\\_at & L20688\\_at & L20860\\_at & L20965\\_at & L21998\\_at & L22454\\_at & L22569\\_at & L33075\\_at & L35263\\_at & L36870\\_at & L40397\\_at & L43576\\_at & L46353\\_at & L49380\\_at & L76517\\_at & L76569\\_at & L76627\\_at & L78833\\_cds1\\_at & M12783\\_at & M13577\\_at & M14123\\_xpt1\\_at & M14745\\_at & M14758\\_at & M15169\\_at & M16276\\_at & M16342\\_at & M19154\\_at & M20566\\_at & M21535\\_at & M24283\\_at & M24900\\_at & M27691\\_at & M31724\\_at & M34276\\_at & M34715\\_at & M37712\\_at & M38258\\_at & M55683\\_at & M58026\\_at & M60503\\_at & M60828\\_at & M61853\\_at & M64231\\_rna1\\_at & M65062\\_at & M69013\\_at & M69181\\_at & M73548\\_at & M76729\\_at & M81883\\_at & M83664\\_at & M84424\\_at & M85289\\_at & M87770\\_at & M91463\\_rna1\\_at & M93651\\_at & M94046\\_at & M94055\\_at & M96843\\_at & M97252\\_at & M97676\\_at & S41458\\_at & S60415\\_at & S66427\\_at & S66896\\_at & S68805\\_at & S69369\\_at & S76638\\_at & S77410\\_at & S78234\\_at & U04636\\_rna1\\_at & U07139\\_at & U08021\\_at & U09279\\_at & U09609\\_at & U10886\\_at & U11287\\_at & U12767\\_at & U13022\\_at & U14394\\_at & U16307\\_at & U17838\\_at & U17969\\_at & U18259\\_at & U18422\\_at & U18550\\_at & U20760\\_at & U20938\\_at & U22680\\_at & U22815\\_at & U22816\\_at & U25771\\_at & U25988\\_at & U26424\\_at & U28049\\_at & U28055\\_at & U31556\\_at & U33632\\_at & U33841\\_at & U34587\\_at & U35376\\_at & U36341\\_rna1\\_at & U37146\\_at & U37426\\_at & U38276\\_at & U38291\\_rna1\\_at & U40571\\_at & U40705\\_at & U41518\\_at & U41654\\_at & U41740\\_at & U43653\\_at & U47077\\_at & U47292\\_at & U49516\\_at & U50196\\_at & U53204\\_at & U57627\\_at & U58675\\_cds1\\_at & 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D10326\\_s\\_at & D10537\\_s\\_at & L24893\\_s\\_at & D10922\\_s\\_at & L06797\\_s\\_at & L09230\\_s\\_at & D11327\\_s\\_at & D12620\\_s\\_at & D12775\\_s\\_at & M19650\\_s\\_at & S50017\\_s\\_at & M15465\\_s\\_at & D79206\\_s\\_at & HG1686-HT4572\\_s\\_at & D13413\\_rna1\\_s\\_at & D13631\\_s\\_at & D13638\\_s\\_at & D13666\\_s\\_at & D13705\\_s\\_at & D13720\\_s\\_at & D13814\\_s\\_at & HG1400-HT1400\\_s\\_at & HG2348-HT2444\\_s\\_at & HG3362-HT3539\\_s\\_at & HG1699-HT1704\\_s\\_at & U41766\\_s\\_at & D14826\\_s\\_at & S68271\\_s\\_at & HG2075-HT2137\\_s\\_at & X52213\\_s\\_at & Z49835\\_s\\_at & HG4541-HT4946\\_s\\_at & D16611\\_s\\_at & D16688\\_s\\_at & D16827\\_s\\_at & D17408\\_s\\_at & X83929\\_s\\_at & U00802\\_s\\_at & Z11685\\_s\\_at & S69231\\_s\\_at & D17570\\_s\\_at & X91653\\_s\\_at & D21241\\_xpt1\\_s\\_at & U23850\\_s\\_at & D26155\\_s\\_at & D26156\\_s\\_at & U62293\\_rna1\\_s\\_at & X77922\\_s\\_at & D87716\\_s\\_at & D26535\\_s\\_at & L15326\\_s\\_at & D28235\\_s\\_at & D28473\\_s\\_at & D28539\\_s\\_at & X59842\\_rna1\\_s\\_at & S78467\\_s\\_at & D29640\\_s\\_at & D29675\\_at & D29675\\_s\\_at & U34380\\_rna1\\_s\\_at & U10473\\_s\\_at & X14085\\_s\\_at & L00190\\_s\\_at & L27624\\_s\\_at & D30715\\_xpt5\\_s\\_at & D31628\\_s\\_at & X68688\\_rna1\\_s\\_at & D31833\\_s\\_at & L10377\\_s\\_at & D31840\\_s\\_at & S79862\\_s\\_at & X82279\\_s\\_at & D32002\\_s\\_at & HG4312-HT4582\\_s\\_at & D37781\\_s\\_at & HG4169-HT4439\\_s\\_at & D37984\\_s\\_at & X62153\\_s\\_at & U27325\\_s\\_at & U11821\\_s\\_at & D38163\\_s\\_at & D38251\\_s\\_at & S68874\\_s\\_at & D38496\\_s\\_at & U38964\\_s\\_at & D38537\\_s\\_at & S78771\\_s\\_at & D42040\\_s\\_at & Z84497\\_s\\_at & D43682\\_s\\_at & X90976\\_s\\_at & X89109\\_s\\_at & U23736\\_s\\_at & M19311\\_at & M19311\\_s\\_at & D45917\\_s\\_at & D49354\\_s\\_at & D49372\\_s\\_at & D49487\\_s\\_at & D49824\\_at & D49824\\_s\\_at & L38593\\_s\\_at & U50079\\_s\\_at & D50477\\_s\\_at & X86371\\_s\\_at & Z75190\\_s\\_at & D50855\\_s\\_at & U58046\\_s\\_at & D55643\\_s\\_at & D63479\\_s\\_at & D63861\\_s\\_at & D63882\\_s\\_at & D63940\\_s\\_at & S82447\\_s\\_at & M96954\\_s\\_at & Z79693\\_s\\_at & Y10807\\_s\\_at & D78132\\_s\\_at & D78577\\_s\\_at & D79984\\_s\\_at & S78271\\_s\\_at & U50822\\_rna1\\_s\\_at & D83017\\_s\\_at & D83260\\_s\\_at & D85131\\_s\\_at & D85425\\_s\\_at & D85759\\_s\\_at & U52373\\_s\\_at & D86043\\_s\\_at & Y10375\\_s\\_at & D86062\\_s\\_at & D86096\\_cds1\\_s\\_at & HG3238-HT4861\\_s\\_at & X83857\\_s\\_at & D86331\\_s\\_at & U19713\\_s\\_at & Z35085\\_s\\_at & U65533\\_s\\_at & X51755\\_cds5\\_s\\_at & U52191\\_s\\_at & L33930\\_s\\_at & Y08682\\_rna1\\_s\\_at & D88155\\_s\\_at & D89377\\_at & D89377\\_s\\_at & Z74792\\_s\\_at & X17059\\_s\\_at & D90070\\_s\\_at & J03260\\_s\\_at & HG1728-HT1734\\_at & HG1728-HT1734\\_s\\_at & D90279\\_s\\_at & M64710\\_s\\_at & HG2271-HT2367\\_at & HG2271-HT2367\\_s\\_at & X55448\\_cds1\\_s\\_at & HG110-HT110\\_s\\_at & HG1140-HT4817\\_s\\_at & HG1227-HT1227\\_s\\_at & M19828\\_s\\_at & HG1322-HT5143\\_s\\_at & HG1327-HT1327\\_s\\_at & M25079\\_s\\_at & HG1428-HT1428\\_s\\_at & HG1437-HT1437\\_s\\_at & HG1471-HT3923\\_s\\_at & HG1496-HT1496\\_s\\_at & X57351\\_at & X57351\\_s\\_at & HG1595-HT4788\\_s\\_at & M76125\\_s\\_at & HG167-HT167\\_s\\_at & HG1747-HT1764\\_s\\_at & HG1751-HT1768\\_at & HG1751-HT1768\\_s\\_at & U19247\\_rna1\\_s\\_at & HG1761-HT1778\\_s\\_at & HG1763-HT1780\\_s\\_at & J03915\\_s\\_at & U47025\\_s\\_at & M14199\\_s\\_at & U43901\\_rna1\\_s\\_at & HG1783-HT1803\\_s\\_at & HG1827-HT1856\\_s\\_at & U24183\\_s\\_at & M29874\\_s\\_at & HG1877-HT1917\\_s\\_at & Z26248\\_s\\_at & HG2007-HT2056\\_s\\_at & HG2090-HT2152\\_s\\_at & HG210-HT210\\_s\\_at & HG2175-HT2245\\_s\\_at & HG2197-HT2267\\_s\\_at & HG2238-HT2321\\_s\\_at & HG4069-HT4339\\_s\\_at & HG2259-HT2348\\_s\\_at & HG2260-HT2349\\_s\\_at & HG2261-HT2351\\_s\\_at & M86757\\_s\\_at & HG2358-HT4858\\_s\\_at & L14778\\_s\\_at & HG2367-HT2463\\_s\\_at & HG2379-HT3996\\_s\\_at & HG2379-HT3997\\_s\\_at & HG2380-HT2476\\_s\\_at & HG2383-HT4824\\_s\\_at & HG2414-HT2510\\_s\\_at & HG243-HT243\\_s\\_at & HG2441-HT2537\\_s\\_at & X52611\\_s\\_at & U10099\\_s\\_at & HG2479-HT2575\\_at & HG2479-HT2575\\_s\\_at & L08835\\_rna2\\_s\\_at & M87313\\_s\\_at & S52028\\_s\\_at & L26584\\_s\\_at & X06182\\_s\\_at & HG2562-HT2658\\_s\\_at & X13451\\_s\\_at & HG2564-HT2660\\_s\\_at & X16666\\_s\\_at & X52009\\_s\\_at & HG2591-HT2687\\_s\\_at & U22376\\_cds2\\_s\\_at & M29037\\_s\\_at & X55019\\_s\\_at & HG2639-HT2735\\_s\\_at & HG2649-HT2745\\_s\\_at & U48705\\_rna1\\_s\\_at & M90391\\_s\\_at & HG2705-HT2801\\_s\\_at & HG273-HT273\\_at & HG273-HT273\\_s\\_at & HG2730-HT2827\\_s\\_at & HG2730-HT2828\\_s\\_at & M58569\\_s\\_at & X16609\\_s\\_at & HG274-HT274\\_s\\_at & HG2743-HT2846\\_s\\_at & HG2743-HT3926\\_s\\_at & M83216\\_s\\_at & HG2797-HT2906\\_s\\_at & HG2797-HT2905\\_at & HG2797-HT2905\\_s\\_at & M91556\\_s\\_at & M13452\\_s\\_at & HG2809-HT2920\\_s\\_at & X04654\\_s\\_at & HG2815-HT2931\\_at & HG2815-HT2931\\_s\\_at & HG2815-HT4023\\_s\\_at & M58509\\_cds1\\_s\\_at & HG2841-HT2969\\_s\\_at & U22961\\_s\\_at & HG2841-HT2968\\_s\\_at & J00139\\_s\\_at & HG2850-HT4814\\_s\\_at & HG2868-HT3012\\_s\\_at & M89914\\_s\\_at & HG2981-HT3127\\_s\\_at & HG2981-HT3938\\_s\\_at & HG2981-HT3125\\_s\\_at & HG2987-HT3136\\_s\\_at & HG2994-HT4850\\_s\\_at & X52896\\_s\\_at & U77846\\_rna1\\_at & U77846\\_rna1\\_s\\_at & HG2999-HT4756\\_s\\_at & L07807\\_s\\_at & HG3044-HT3742\\_s\\_at & X02761\\_s\\_at & HG3075-HT3236\\_s\\_at & HG3076-HT3238\\_s\\_at & HG3085-HT3254\\_s\\_at & X75755\\_rna1\\_s\\_at & HG3105-HT3281\\_s\\_at & HG3107-HT3283\\_s\\_at & HG3125-HT3301\\_s\\_at & HG3148-HT3324\\_s\\_at & HG3187-HT3366\\_s\\_at & M31520\\_rna1\\_at & M31520\\_rna1\\_s\\_at & HG3242-HT4231\\_s\\_at & HG3242-HT3419\\_s\\_at & U05572\\_s\\_at & HG3319-HT3496\\_s\\_at & HG3327-HT3504\\_s\\_at & HG3342-HT3519\\_s\\_at & M97016\\_s\\_at & HG3395-HT3573\\_s\\_at & X68505\\_s\\_at & HG3412-HT3593\\_s\\_at & HG3417-HT3600\\_s\\_at & HG3426-HT3610\\_s\\_at & HG3431-HT3616\\_s\\_at & HG3432-HT3620\\_s\\_at & HG3437-HT3628\\_s\\_at & HG3484-HT3678\\_s\\_at & HG3523-HT4899\\_s\\_at & M13929\\_s\\_at & J03242\\_s\\_at & M17863\\_s\\_at & HG36-HT4101\\_s\\_at & HG3638-HT3849\\_s\\_at & HG3638-HT3993\\_s\\_at & HG3703-HT3915\\_s\\_at & J04093\\_s\\_at & HG371-HT1063\\_s\\_at & HG371-HT26388\\_at & HG371-HT26388\\_s\\_at & HG3725-HT3981\\_s\\_at & HG3730-HT4000\\_s\\_at & S80267\\_s\\_at & U10687\\_s\\_at & HG3914-HT4184\\_s\\_at & HG3920-HT4521\\_s\\_at & HG3925-HT4195\\_at & HG3925-HT4195\\_s\\_at & HG3928-HT4198\\_at & HG3928-HT4198\\_s\\_at & HG3954-HT4224\\_s\\_at & X77588\\_s\\_at & HG4011-HT4804\\_s\\_at & HG4020-HT4290\\_s\\_at & M74509\\_s\\_at & HG4063-HT4333\\_s\\_at & HG4094-HT4364\\_s\\_at & HG4099-HT4369\\_s\\_at & M13150\\_s\\_at & HG4116-HT4386\\_s\\_at & HG4113-HT4383\\_s\\_at & HG4120-HT4392\\_s\\_at & HG4155-HT4425\\_s\\_at & HG417-HT417\\_s\\_at & L13266\\_s\\_at & U09937\\_rna1\\_s\\_at & M20867\\_s\\_at & HG4264-HT4534\\_s\\_at & HG4318-HT4588\\_s\\_at & HG4334-HT4604\\_s\\_at & HG4517-HT4920\\_s\\_at & HG4535-HT4940\\_s\\_at & U19251\\_s\\_at & HG4668-HT5083\\_s\\_at & M57464\\_s\\_at & HG4683-HT5108\\_s\\_at & HG4755-HT5203\\_s\\_at & HG4757-HT5207\\_s\\_at & M79463\\_s\\_at & M82827\\_s\\_at & HG627-HT5097\\_s\\_at & HG627-HT5098\\_s\\_at & X54867\\_s\\_at & X57110\\_s\\_at & L07261\\_s\\_at & HG651-HT5209\\_s\\_at & Z68280\\_cds2\\_s\\_at & X07618\\_s\\_at & HG721-HT4828\\_s\\_at & HG721-HT4827\\_s\\_at & HG759-HT759\\_s\\_at & HG855-HT855\\_s\\_at & HG862-HT862\\_s\\_at & HG880-HT880\\_at & HG880-HT880\\_s\\_at & HG884-HT884\\_s\\_at & L08096\\_s\\_at & HG944-HT944\\_s\\_at & S76942\\_s\\_at & HG945-HT945\\_s\\_at & X54457\\_s\\_at & X77777\\_s\\_at & HG982-HT982\\_s\\_at & HG998-HT998\\_s\\_at & M10277\\_s\\_at & M97935\\_s\\_at & X01038\\_rna1\\_s\\_at & J00105\\_s\\_at & J00116\\_s\\_at & V00535\\_rna2\\_s\\_at & J00219\\_s\\_at & L00022\\_s\\_at & S71043\\_rna1\\_s\\_at & M87789\\_s\\_at & J00268\\_s\\_at & V00594\\_at & V00594\\_s\\_at & V00574\\_s\\_at & M29386\\_s\\_at & V00599\\_s\\_at & J02621\\_s\\_at & J02683\\_s\\_at & J02758\\_s\\_at & X05130\\_s\\_at & M27436\\_s\\_at & J02871\\_s\\_at & M13232\\_s\\_at & M22403\\_s\\_at & J02947\\_s\\_at & J02960\\_cds1\\_s\\_at & M29610\\_at & M29610\\_s\\_at & U05255\\_at & U05255\\_s\\_at & M17446\\_s\\_at & Y00339\\_s\\_at & U50327\\_s\\_at & J03077\\_s\\_at & J03241\\_s\\_at & U07804\\_s\\_at & U07806\\_s\\_at & J03263\\_s\\_at & Z74616\\_s\\_at & X51441\\_at & X51441\\_s\\_at & L25878\\_s\\_at & Y00285\\_s\\_at & M26004\\_s\\_at & S62696\\_s\\_at & M17183\\_s\\_at & M24351\\_cds3\\_s\\_at & M31551\\_s\\_at & J03626\\_rna1\\_s\\_at & X57579\\_s\\_at & U01691\\_s\\_at & X04729\\_s\\_at & J03778\\_s\\_at & M21119\\_s\\_at & M24349\\_s\\_at & M26958\\_s\\_at & J03805\\_s\\_at & M96233\\_s\\_at & U72648\\_s\\_at & J05253\\_s\\_at & J03934\\_s\\_at & J04029\\_s\\_at & J04046\\_s\\_at & M69203\\_s\\_at & J04130\\_s\\_at & J04152\\_rna1\\_s\\_at & M61827\\_rna1\\_s\\_at & X14684\\_s\\_at & J04430\\_s\\_at & U75272\\_s\\_at & M27968\\_s\\_at & X17567\\_s\\_at & X52979\\_rna1\\_s\\_at & S40719\\_s\\_at & J04617\\_s\\_at & X03689\\_s\\_at & J04810\\_s\\_at & J05016\\_rna1\\_s\\_at & J05036\\_s\\_at & J05200\\_rna1\\_s\\_at & J05252\\_s\\_at & J05582\\_s\\_at & M32304\\_s\\_at & X53002\\_s\\_at & M34996\\_s\\_at & K01160\\_s\\_at & S77835\\_s\\_at & X00695\\_s\\_at & X02176\\_s\\_at & K02777\\_s\\_at & M13058\\_s\\_at & M69197\\_xpt2\\_s\\_at & K03494\\_s\\_at & K03498\\_xpt1\\_s\\_at & M26901\\_s\\_at & M21642\\_at & M21642\\_s\\_at & X69920\\_s\\_at & L00634\\_s\\_at & X66113\\_s\\_at & L03411\\_s\\_at & L03840\\_s\\_at & U09851\\_s\\_at & L04483\\_s\\_at & L05072\\_s\\_at & L12760\\_s\\_at & M26665\\_at & M26665\\_s\\_at & L05624\\_s\\_at & L05628\\_s\\_at & Z94753\\_s\\_at & U50360\\_s\\_at & Z31560\\_s\\_at & M88461\\_s\\_at & U06643\\_s\\_at & U51003\\_s\\_at & L08044\\_s\\_at & S57212\\_s\\_at & L09209\\_s\\_at & L10333\\_s\\_at & L10338\\_s\\_at & X70940\\_s\\_at & M30607\\_s\\_at & X13766\\_s\\_at & L10615\\_s\\_at & L10955\\_cds1\\_s\\_at & U89922\\_s\\_at & L15189\\_s\\_at & L11238\\_s\\_at & L11244\\_s\\_at & L11701\\_s\\_at & U40002\\_s\\_at & U37055\\_rna1\\_s\\_at & U67932\\_s\\_at & L12060\\_s\\_at & L12711\\_s\\_at & U03397\\_s\\_at & X65727\\_cds2\\_s\\_at & L13939\\_s\\_at & X68285\\_s\\_at & X69886\\_s\\_at & L14848\\_s\\_at & L15296\\_s\\_at & U58837\\_s\\_at & X67235\\_s\\_at & L17075\\_s\\_at & L17418\\_cds2\\_s\\_at & U33838\\_at & U33838\\_s\\_at & Z22951\\_rna1\\_s\\_at & U23430\\_s\\_at & M67468\\_s\\_at & L19493\\_s\\_at & U11875\\_s\\_at & X64624\\_s\\_at & L20469\\_s\\_at & U59632\\_s\\_at & S75213\\_s\\_at & U18088\\_s\\_at & X63575\\_s\\_at & U24389\\_s\\_at & U02683\\_s\\_at & U18383\\_s\\_at & L22524\\_s\\_at & L23333\\_s\\_at & M27394\\_s\\_at & M60974\\_s\\_at & L24774\\_s\\_at & L25286\\_s\\_at & M89470\\_s\\_at & U45255\\_s\\_at & L25931\\_s\\_at & U35005\\_s\\_at & S69265\\_s\\_at & L27213\\_s\\_at & M62782\\_s\\_at & L27559\\_s\\_at & L27584\\_s\\_at & X69962\\_s\\_at & L29306\\_s\\_at & M96995\\_s\\_at & S77893\\_s\\_at & L32831\\_s\\_at & S75578\\_s\\_at & U80226\\_s\\_at & L33262\\_s\\_at & L34363\\_s\\_at & L35249\\_s\\_at & L35253\\_s\\_at & L46720\\_s\\_at & U19495\\_s\\_at & X95097\\_rna1\\_s\\_at & X95425\\_s\\_at & U17743\\_s\\_at & L37036\\_s\\_at & X94628\\_rna1\\_s\\_at & L37360\\_s\\_at & M34458\\_rna1\\_s\\_at & L37868\\_s\\_at & L38490\\_s\\_at & U15637\\_s\\_at & U32986\\_s\\_at & L40384\\_s\\_at & L40386\\_s\\_at & U61734\\_s\\_at & U43185\\_s\\_at & M97347\\_s\\_at & L49209\\_s\\_at & L42374\\_s\\_at & L43575\\_s\\_at & L43579\\_at & L43579\\_s\\_at & L44140\\_cds4\\_s\\_at & U28749\\_s\\_at & X92518\\_s\\_at & L47125\\_s\\_at & Z37987\\_s\\_at & L47276\\_s\\_at & Y08765\\_s\\_at & Y08766\\_s\\_at & U37546\\_s\\_at & U45878\\_s\\_at & L76528\\_s\\_at & U48436\\_s\\_at & X95463\\_s\\_at & U31215\\_s\\_at & U31216\\_s\\_at & L77567\\_s\\_at & U64315\\_s\\_at & U64805\\_s\\_at & U72882\\_s\\_at & V00565\\_s\\_at & M10051\\_s\\_at & M10321\\_s\\_at & M11025\\_s\\_at & X62891\\_s\\_at & M11313\\_s\\_at & X05855\\_at & X05855\\_s\\_at & X07438\\_s\\_at & X03363\\_s\\_at & X02875\\_s\\_at & M12963\\_s\\_at & X83705\\_s\\_at & M12959\\_s\\_at & M13560\\_s\\_at & M13690\\_s\\_at & M13686\\_s\\_at & M13829\\_s\\_at & M34353\\_s\\_at & M13928\\_s\\_at & X04445\\_rna1\\_s\\_at & X81851\\_s\\_at & M13994\\_s\\_at & M60891\\_s\\_at & U59058\\_s\\_at & M14328\\_s\\_at & M16336\\_s\\_at & M14483\\_rna1\\_s\\_at & X04602\\_s\\_at & Y00081\\_s\\_at & M26708\\_s\\_at & X64072\\_s\\_at & M15517\\_cds3\\_s\\_at & M27396\\_s\\_at & M16364\\_s\\_at & M16474\\_s\\_at & M36429\\_s\\_at & M16591\\_s\\_at & M16652\\_at & M16652\\_s\\_at & M16707\\_rna1\\_at & M16707\\_rna1\\_s\\_at & M16750\\_s\\_at & M16938\\_s\\_at & M31423\\_s\\_at & U08006\\_s\\_at & M28130\\_rna1\\_s\\_at & Y00787\\_s\\_at & M17236\\_at & M17236\\_s\\_at & M26856\\_s\\_at & M17254\\_s\\_at & Y00414\\_s\\_at & M18255\\_cds2\\_s\\_at & M18391\\_s\\_at & Z19554\\_s\\_at & Y00083\\_s\\_at & X54667\\_at & X54667\\_s\\_at & M19267\\_s\\_at & M19309\\_s\\_at & M19508\\_xpt3\\_s\\_at & M19878\\_at & M19878\\_s\\_at & M27783\\_s\\_at & M20203\\_s\\_at & X58298\\_s\\_at & M20642\\_s\\_at & M20747\\_s\\_at & M20778\\_s\\_at & M26311\\_s\\_at & M84371\\_rna1\\_s\\_at & M21142\\_cds2\\_s\\_at & M54914\\_s\\_at & M26692\\_s\\_at & Z20656\\_rna1\\_s\\_at & M21665\\_s\\_at & M35851\\_s\\_at & M33772\\_s\\_at & M26730\\_s\\_at & M22348\\_s\\_at & M23234\\_s\\_at & M23323\\_s\\_at & Z68228\\_s\\_at & M23892\\_s\\_at & X95325\\_s\\_at & M24122\\_s\\_at & M55024\\_s\\_at & M24485\\_s\\_at & M24486\\_s\\_at & M24736\\_s\\_at & M24748\\_cds2\\_s\\_at & M24766\\_s\\_at & M54915\\_s\\_at & X12876\\_s\\_at & X72632\\_s\\_at & U16799\\_s\\_at & M31776\\_s\\_at & S66541\\_s\\_at & M26041\\_s\\_at & Z80345\\_rna1\\_s\\_at & M26657\\_s\\_at & M27093\\_s\\_at & M27504\\_s\\_at & M27533\\_s\\_at & X60003\\_s\\_at & M28213\\_s\\_at & S72493\\_s\\_at & M29277\\_at & M29277\\_s\\_at & M28882\\_s\\_at & U20734\\_s\\_at & M29335\\_at & M29335\\_s\\_at & Z47055\\_s\\_at & M29932\\_s\\_at & M29994\\_s\\_at & M33493\\_s\\_at & M31516\\_s\\_at & M30257\\_s\\_at & M30448\\_s\\_at & X57152\\_rna1\\_s\\_at & M30625\\_s\\_at & M30703\\_s\\_at & M74587\\_rna1\\_s\\_at & X97748\\_s\\_at & M31169\\_s\\_at & M31211\\_s\\_at & M31241\\_s\\_at & M65214\\_s\\_at & M33684\\_s\\_at & U05681\\_s\\_at & M31774\\_s\\_at & X68090\\_s\\_at & X51435\\_s\\_at & X54199\\_s\\_at & M65292\\_s\\_at & M32879\\_at & M32879\\_s\\_at & M58286\\_s\\_at & M86873\\_s\\_at & M34338\\_s\\_at & U22178\\_s\\_at & M34376\\_s\\_at & M35093\\_s\\_at & S37730\\_s\\_at & U50648\\_s\\_at & M36118\\_s\\_at & X13955\\_s\\_at & M36284\\_s\\_at & M36542\\_s\\_at & X13810\\_s\\_at & M36653\\_s\\_at & Z38133\\_s\\_at & M57731\\_s\\_at & X53800\\_s\\_at & M37238\\_s\\_at & M37457\\_at & M37457\\_s\\_at & M86383\\_s\\_at & M38449\\_s\\_at & M55409\\_s\\_at & M86933\\_at & M86933\\_s\\_at & M55513\\_s\\_at & M60450\\_s\\_at & X54993\\_s\\_at & M55682\\_s\\_at & M55998\\_s\\_at & M57466\\_s\\_at & U16720\\_rna1\\_s\\_at & M57703\\_s\\_at & M65134\\_s\\_at & X13461\\_s\\_at & M58525\\_s\\_at & M59216\\_s\\_at & X52282\\_s\\_at & M60284\\_s\\_at & M60483\\_rna1\\_s\\_at & X69950\\_s\\_at & M60784\\_s\\_at & S81661\\_s\\_at & M61826\\_s\\_at & M61832\\_s\\_at & X65962\\_s\\_at & S82362\\_s\\_at & M62403\\_s\\_at & S38742\\_s\\_at & M62628\\_s\\_at & X53595\\_s\\_at & M73746\\_s\\_at & M63438\\_s\\_at & M92843\\_s\\_at & M63838\\_s\\_at & M64269\\_s\\_at & X51823\\_at & X51823\\_s\\_at & M81886\\_s\\_at & Z26491\\_s\\_at & M68907\\_s\\_at & S67247\\_s\\_at & M72885\\_rna1\\_s\\_at & M73239\\_s\\_at & M74088\\_s\\_at & X63131\\_s\\_at & M74715\\_s\\_at & U04285\\_s\\_at & Z31690\\_s\\_at & M75715\\_s\\_at & M76732\\_s\\_at & X74929\\_s\\_at & M77348\\_rna1\\_s\\_at & X90824\\_s\\_at & M77829\\_s\\_at & M80397\\_s\\_at & X62083\\_s\\_at & M81181\\_s\\_at & X58528\\_s\\_at & M81182\\_s\\_at & M81695\\_s\\_at & M81778\\_s\\_at & X80763\\_s\\_at & M83652\\_s\\_at & X62534\\_s\\_at & M83667\\_rna1\\_s\\_at & M83712\\_s\\_at & M84820\\_s\\_at & U84011\\_s\\_at & X15673\\_s\\_at & X62515\\_s\\_at & M87507\\_s\\_at & M91368\\_s\\_at & M91669\\_s\\_at & X03794\\_s\\_at & S54005\\_s\\_at & U33202\\_s\\_at & U33203\\_s\\_at & S57132\\_s\\_at & X57348\\_s\\_at & X56088\\_s\\_at & X75091\\_s\\_at & M94172\\_s\\_at & Y10141\\_s\\_at & M95585\\_s\\_at & X68985\\_s\\_at & S49592\\_s\\_at & M96738\\_s\\_at & M97796\\_s\\_at & X14253\\_s\\_at & X60299\\_s\\_at & X59303\\_s\\_at & M98399\\_s\\_at & S76978\\_s\\_at & S38953\\_s\\_at & X63741\\_s\\_at & X66142\\_s\\_at & X57809\\_at & X57809\\_s\\_at & S62028\\_s\\_at & S52969\\_cds1\\_s\\_at & X65784\\_s\\_at & S56151\\_s\\_at & S57153\\_s\\_at & U95019\\_s\\_at & U12387\\_s\\_at & S62904\\_s\\_at & S68134\\_s\\_at & X86401\\_s\\_at & S69272\\_s\\_at & S69370\\_s\\_at & X51362\\_s\\_at & S72024\\_s\\_at & S72503\\_s\\_at & U24056\\_s\\_at & S73885\\_s\\_at & U31929\\_s\\_at & U15641\\_s\\_at & S75256\\_s\\_at & U33052\\_s\\_at & S75881\\_s\\_at & S76473\\_s\\_at & U05012\\_s\\_at & U20816\\_s\\_at & S76756\\_s\\_at & S77154\\_s\\_at & U00001\\_s\\_at & S78798\\_s\\_at & S78873\\_s\\_at & S79219\\_s\\_at & S79873\\_s\\_at & S80437\\_s\\_at & X58199\\_s\\_at & S81243\\_s\\_at & S81264\\_s\\_at & S81737\\_s\\_at & S82471\\_s\\_at & S82597\\_rna1\\_s\\_at & S83309\\_s\\_at & S83325\\_s\\_at & S83362\\_s\\_at & S83390\\_s\\_at & S83513\\_s\\_at & U22322\\_s\\_at & X04347\\_s\\_at & U00947\\_s\\_at & U12259\\_cds2\\_s\\_at & U02566\\_s\\_at & U04806\\_s\\_at & X73358\\_s\\_at & U06155\\_at & U06155\\_s\\_at & U08854\\_s\\_at & Z48314\\_s\\_at & U29463\\_s\\_at & U07969\\_s\\_at & U51010\\_s\\_at & U08191\\_s\\_at & U09087\\_s\\_at & U18271\\_cds3\\_s\\_at & U09178\\_s\\_at & U09510\\_s\\_at & U09716\\_s\\_at & U72935\\_cds3\\_s\\_at & U09820\\_s\\_at & Z29066\\_s\\_at & U11717\\_s\\_at & U13913\\_s\\_at & U28758\\_s\\_at & U11862\\_s\\_at & U27516\\_s\\_at & U12424\\_s\\_at & U29943\\_s\\_at & U12707\\_s\\_at & X75346\\_s\\_at & U13021\\_s\\_at & U13696\\_s\\_at & U14577\\_s\\_at & U15642\\_s\\_at & U16120\\_s\\_at & X91911\\_s\\_at & U16812\\_s\\_at & U16811\\_s\\_at & X84213\\_s\\_at & X74301\\_s\\_at & U18297\\_s\\_at & U19147\\_s\\_at & U19252\\_s\\_at & U19557\\_s\\_at & U31973\\_s\\_at & U20536\\_s\\_at & U20759\\_s\\_at & U22314\\_s\\_at & U22431\\_s\\_at & U22970\\_rna1\\_s\\_at & X78416\\_s\\_at & U23435\\_s\\_at & U23852\\_s\\_at & U24488\\_s\\_at & U25034\\_s\\_at & U32499\\_s\\_at & U26173\\_s\\_at & U26266\\_s\\_at & U26312\\_s\\_at & U60206\\_s\\_at & Z16411\\_s\\_at & U27333\\_at & U27333\\_s\\_at & U27326\\_s\\_at & U28488\\_s\\_at & U75276\\_s\\_at & Z50115\\_s\\_at & U30827\\_s\\_at & U31201\\_cds2\\_s\\_at & U45328\\_s\\_at & U31903\\_s\\_at & U41068\\_cds2\\_s\\_at & U32674\\_s\\_at & U33448\\_s\\_at & U90065\\_s\\_at & U40271\\_s\\_at & U43203\\_s\\_at & X82850\\_s\\_at & U67092\\_at & U67092\\_s\\_at & X91196\\_s\\_at & X85116\\_rna1\\_s\\_at & U33936\\_s\\_at & U34070\\_s\\_at & X89986\\_s\\_at & U40317\\_s\\_at & U35637\\_s\\_at & U35835\\_s\\_at & U41163\\_s\\_at & U36759\\_s\\_at & Z69030\\_s\\_at & X85137\\_s\\_at & U38227\\_s\\_at & Z47038\\_s\\_at & X81832\\_s\\_at & U40152\\_s\\_at & U74382\\_s\\_at & X93511\\_s\\_at & U40763\\_s\\_at & U40846\\_s\\_at & U76366\\_s\\_at & U41315\\_rna1\\_s\\_at & X76942\\_s\\_at & U41767\\_s\\_at & X96506\\_s\\_at & U51333\\_s\\_at & U43189\\_s\\_at & U43747\\_s\\_at & U43916\\_s\\_at & U44799\\_s\\_at & U45448\\_s\\_at & U46746\\_s\\_at & X51698\\_s\\_at & U47686\\_s\\_at & U48865\\_s\\_at & U49020\\_cds2\\_s\\_at & Z49148\\_s\\_at & U49835\\_s\\_at & U49957\\_s\\_at & U50361\\_s\\_at & U50527\\_s\\_at & U52077\\_s\\_at & X99374\\_s\\_at & X92493\\_s\\_at & U52696\\_s\\_at & U52828\\_s\\_at & Z54367\\_s\\_at & U54644\\_s\\_at & U66711\\_rna1\\_s\\_at & U56402\\_s\\_at & U59877\\_s\\_at & U57623\\_s\\_at & U57971\\_s\\_at & X60787\\_s\\_at & U59831\\_rna1\\_s\\_at & U69140\\_s\\_at & U60808\\_s\\_at & U61276\\_s\\_at & U67122\\_s\\_at & X99586\\_s\\_at & U61397\\_s\\_at & U79261\\_s\\_at & Y08417\\_s\\_at & U72263\\_s\\_at & U67368\\_s\\_at & U64573\\_s\\_at & U65416\\_rna1\\_s\\_at & X56687\\_s\\_at & X00437\\_s\\_at & U66726\\_at & U66726\\_s\\_at & Z70276\\_s\\_at & U66828\\_s\\_at & U70064\\_s\\_at & U68105\\_s\\_at & Z48501\\_s\\_at & U68135\\_s\\_at & U68162\\_cds1\\_s\\_at & U69126\\_s\\_at & U86755\\_s\\_at & U70439\\_s\\_at & U71203\\_s\\_at & Y07565\\_s\\_at & U72509\\_s\\_at & Y09943\\_s\\_at & U72936\\_s\\_at & U73167\\_cds2\\_s\\_at & U73477\\_s\\_at & Y09392\\_s\\_at & U79528\\_s\\_at & U75309\\_s\\_at & U76764\\_s\\_at & U79115\\_s\\_at & U79667\\_s\\_at & X99897\\_s\\_at & U80987\\_s\\_at & Y10262\\_s\\_at & U82108\\_s\\_at & U83239\\_s\\_at & U83326\\_s\\_at & X99393\\_s\\_at & U83598\\_at & U83598\\_s\\_at & U86759\\_s\\_at & U90543\\_at & U90543\\_s\\_at & U90552\\_at & U90552\\_s\\_at & Y07827\\_s\\_at & U92314\\_s\\_at & U92457\\_s\\_at & Y08265\\_s\\_at & X17644\\_s\\_at & X58822\\_rna1\\_s\\_at & X05839\\_rna1\\_s\\_at & X04470\\_s\\_at & X04706\\_s\\_at & Z11518\\_s\\_at & X06700\\_s\\_at & X12530\\_s\\_at & X07619\\_s\\_at & X65965\\_s\\_at & X13100\\_s\\_at & X14885\\_rna1\\_s\\_at & X52426\\_s\\_at & X14690\\_s\\_at & X15954\\_rna1\\_s\\_at & X15729\\_s\\_at & X16260\\_s\\_at & X16504\\_s\\_at & X16660\\_cds1\\_s\\_at & X70944\\_s\\_at & X56681\\_s\\_at & X60955\\_s\\_at & X53296\\_s\\_at & X61755\\_rna1\\_s\\_at & X53390\\_s\\_at & X55037\\_s\\_at & Y00451\\_s\\_at & X58431\\_rna2\\_s\\_at & X59932\\_s\\_at & X60104\\_s\\_at & X63522\\_s\\_at & X74874\\_rna1\\_s\\_at & X83492\\_at & X83492\\_s\\_at & X83490\\_s\\_at & X89101\\_s\\_at & X64877\\_at & X64877\\_s\\_at & X66276\\_s\\_at & X66894\\_s\\_at & X98337\\_s\\_at & X69116\\_s\\_at & Z25521\\_s\\_at & X85781\\_s\\_at & X86428\\_s\\_at & X74987\\_s\\_at & X76223\\_s\\_at & X77567\\_s\\_at & X79200\\_at & X79200\\_s\\_at & Z34974\\_s\\_at & X79683\\_s\\_at & X97267\\_rna1\\_s\\_at & X81836\\_s\\_at & X82206\\_s\\_at & Z70218\\_s\\_at & X83301\\_s\\_at & X83535\\_s\\_at & X87871\\_s\\_at & Z49825\\_s\\_at & Z69043\\_s\\_at & X90846\\_at & X90846\\_s\\_at & X95240\\_s\\_at & X95632\\_s\\_at & X98178\\_s\\_at & X98534\\_s\\_at & X99886\\_s\\_at & Y10514\\_s\\_at & Y10508\\_s\\_at & Z11899\\_s\\_at & Z35402\\_rna1\\_s\\_at & Z48519\\_s\\_at & AF000424\\_s\\_at & D83174\\_s\\_at & U46006\\_s\\_at & HG3546-HT3744\\_s\\_at & HG4677-HT5102\\_s\\_at & K02882\\_cds1\\_s\\_at & M36430\\_s\\_at & M95936\\_s\\_at & S82297\\_at & X89399\\_s\\_at & HG3996-HT4266\\_at & M21305\\_at & M58460\\_at & S77582\\_at & U33880\\_at & X14474\\_at & HG2147-HT2217\\_at & HG2147-HT2217\\_r\\_at & HG2171-HT2241\\_at & HG2171-HT2241\\_r\\_at & HG2239-HT2324\\_at & HG2239-HT2324\\_r\\_at & HG2365-HT2461\\_at & HG3033-HT3194\\_at & HG3033-HT3194\\_r\\_at & HG3115-HT3291\\_at & HG3565-HT3768\\_at & HG3565-HT3768\\_r\\_at & HG3731-HT4001\\_at & HG3731-HT4001\\_r\\_at & HG3991-HT4261\\_at & HG3991-HT4261\\_r\\_at & HG4340-HT4610\\_at & HG4518-HT4921\\_at & HG4518-HT4921\\_r\\_at & HG4557-HT4962\\_at & HG4557-HT4962\\_r\\_at & L11672\\_at & L11672\\_r\\_at & M21388\\_at & M21388\\_r\\_at & M55422\\_at & M96132\\_at & U57341\\_at & U57341\\_r\\_at & U90546\\_at & U90546\\_r\\_at & X87344\\_cds10\\_at & X87344\\_cds10\\_r\\_at & X98482\\_at & X98482\\_r\\_at & HG1067-HT1067\\_r\\_at & HG2566-HT4792\\_r\\_at & HG2702-HT2798\\_r\\_at & HG2887-HT3031\\_at & HG2887-HT3031\\_r\\_at & U34301\\_at & U34301\\_r\\_at & X94563\\_xpt2\\_r\\_at & Z46632\\_at & Z46632\\_r\\_at & AF001359\\_f\\_at & HG1034-HT1034\\_f\\_at & HG2148-HT2218\\_f\\_at & HG3141-HT3317\\_f\\_at & HG3236-HT3413\\_f\\_at & HG3576-HT3779\\_f\\_at & HG3597-HT3800\\_f\\_at & HG3635-HT3845\\_f\\_at & HG3729-HT3999\\_f\\_at & HG3921-HT4191\\_f\\_at & HG4417-HT4687\\_f\\_at & HG688-HT688\\_f\\_at & J02982\\_f\\_at & J03801\\_f\\_at & L05514\\_f\\_at & L49173\\_f\\_at & L49219\\_f\\_at & L49229\\_f\\_at & L76670\\_f\\_at & M19045\\_f\\_at & M23575\\_f\\_at & S78693\\_f\\_at & X14008\\_rna1\\_f\\_at & X59244\\_f\\_at & X97230\\_f\\_at & D16154\\_at & D17793\\_at & D38024\\_at & D49728\\_at & D87017\\_cds3\\_at & D90042\\_at & HG1980-HT2023\\_at & HG1996-HT2044\\_at & HG2149-HT2219\\_at & HG2160-HT2230\\_at & HG2600-HT2696\\_at & HG3491-HT3685\\_at & HG3513-HT3707\\_at & HG3636-HT3846\\_at & HG4108-HT4378\\_at & HG4109-HT4379\\_at & HG4115-HT4385\\_at & HG4322-HT4592\\_at & HG4593-HT4998\\_at & HG491-HT491\\_at & HG881-HT881\\_at & J00146\\_at & J00207\\_rna2\\_at & J00210\\_rna1\\_at & J00220\\_cds5\\_at & J03910\\_rna1\\_at & J05412\\_at & K03431\\_cds1\\_at & L05187\\_at & L08010\\_at & L13740\\_at & L14430\\_at & L20433\\_at & L32606\\_at & L34035\\_at & M10942\\_at & M10943\\_at & M12125\\_at & M13485\\_at & M14306\\_at & M16714\\_at & M19888\\_at & M21302\\_at & M21539\\_at & M23263\\_at & M30838\\_at & M31523\\_at & M31932\\_at & M32578\\_at & M35999\\_at & M36072\\_at & M37075\\_at & M37981\\_at & M38180\\_rna1\\_at & M55418\\_at & M55419\\_at & M60746\\_at & M60751\\_at & M61855\\_at & M68519\\_rna1\\_at & M77144\\_rna1\\_at & M81650\\_rna1\\_at & M90354\\_at & M92642\\_at & M93311\\_at & M99435\\_at & M99436\\_at & M99438\\_at & M99439\\_at & S68287\\_at & S72043\\_rna1\\_at & S73840\\_at & S74720\\_at & S78774\\_at & U00928\\_at & U01317\\_cds4\\_at & U02388\\_at & U03858\\_at & U05861\\_at & U12140\\_at & U19765\\_at & U21556\\_at & U24153\\_at & U24683\\_at & U24685\\_at & U25975\\_at & U27460\\_at & U28014\\_at & U28015\\_at & U40279\\_at & U43944\\_at & 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398 & -123 & 154 & 12 & 214 & -55 & 43 & 159 & 342 & 762 & 253 & 427 & 166 & -111 & 260 & 444 & 2203 & 625 & 205 & 74 & 622 & 43 & 255 & 1351 & 118 & 144 & 388 & -125 & -108 & 482 & 21 & 371 & 31 & -176 & 4 & 123 & 70 & 347 & 65 & 632 & 224 & 627 & 519 & 2 & -31 & 381 & 115 & 1344 & -41 & 299 & 494 & -96 & 9 & 675 & -241 & 226 & 149 & -53 & 33 & 284 & -82 & 14 & 777 & 328 & -219 & 65 & -28 & 651 & -113 & 2640 & 1453 & 188 & 847 & 43 & 197 & -28 & -205 & 318 & -345 & 2544 & 231 & 74 & 1969 & 567 & -43 & 292 & 200 & 383 & -200 & 79 & -202 & -318 & -142 & 120 & 468 & 154 & -4 & 774 & 724 & -31 & -1216 & 4 & 94 & -79 & 644 & 96 & -28 & 82 & 731 & 21 & 1347 & 130 & 3859 & 154 & 20347 & 2708 & 651 & -130 & -176 & 101 & -60 & -190 & 176 & 7 & 284 & 251 & 31 & 2 & -12 & 96 & 147 & -374 & 1738 & 499 & -289 & 48 & 8786 & -627 & -26 & -19 & -412 & 241 & 951 & -67 & 656 & 202 & 296 & -173 & 207 & 403 & -395 & 1269 & 84 & 712 & 748 & 347 & 77 & -53 & -214 & 31 & 1057 & -828 & 444 & -164 & 84 & -108 & 248 & 12 & 267 & 340 & 171 & -171 & 31 & -33 & 634 & -383 & 53 & 255 & -137 & -111 & 12943 & -1202 & 1426 & -84 & -103 & 200 & 4 & 581 & 33 & 337 & 224 & -465 & 67 & 506 & 79 & 31 & -212 & -135 & 579 & -214 & 538 & 26 & 965 & 193 & 207 & 111 & 224 & 7285 & 3538 & 84 & -38 & -70 & -70 & -321 & -492 & -137 & 241 & 26 & 197 & 57 & 922 & 33 & -38 & -2 & 137 & 140 & 410 & 94 & -214 & 41 & -106 & 1557 & -28 & 195 & -335 & 135 & 2739 & 304 & 417 & -246 & 190 & 333 & -149 & -417 & 683 & 103 & -210 & 178 & -195 & 236 & 149 & 181 & -82 & 67 & 33 & 10442 & -144 & 111 & 666 & -584 & 550 & 132 & 528 & -135 & 610 & 118 & -67 & -2414 & 296 & -241 & 335 & -243 & 234 & 391 & 214 & 7 & -106 & 847 & 41 & 9 & 20016 & 598 & 140 & -263 & 523 & 393 & 898 & 108 & 94 & 260 & 697 & 161 & -16 & 777 & 854 & -53 & 1202 & -45 & -1185 & 38 & -164 & 120 & -38 & 465 & -255 & -123 & -89 & 2708 & 57 & -323 & 72 & 13721 & 1962 & 24 & 342 & 251 & -144 & -236 & -391 & 642 & 270 & 3215 & -166 & -111 & 14 & 709 & 1267 & 74 & 207 & 569 & 82 & 72 & -1472 & -202 & -48 & -560 & 144 & 147 & 700 & -26 & 347 & 646 & 45 & 955 & -294 & 1682 & 246 & 1235 & -7 & 441 & 127 & 2022 & 82 & 188 & -57 & -89 & 2751 & 543 & -308 & 267 & 70 & 197 & -36 & 57 & -7 & 849 & -4 & 405 & 149 & 335 & 205 & 308 & 429 & 504 & 579 & 3633 & 736 & -84 & 72 & -547 & 185 & 509 & 3418 & 197 & 125 & 644 & 45 & 147 & 861 & 292 & 745 & -137 & 183 & 72 & 729 & 1981 & 74 & -434 & -41 & -434 & 7184 & 1409 & 1134 & -41 & 446 & 1610 & 195 & 345 & -567 & -82 & 477 & 470 & 321 & 311 & 1289 & 1165 & 861 & 120 & 197 & 60 & 222 & -36 & -67 & 627 & -485 & 830 & 31 & 53 & -603 & 1643 & 420 & 132 & 514 & 1100 & 1356 & 108 & 45 & 127 & -36 & 663 & 1245 & 572 & -753 & 1158 & -154 & 337 & -135 & 832 & 777 & 195 & 555 & -159 & -60 & 634 & 224 & 33 & 28 & 149 & 272 & 168 & 337 & -91 & 43 & 869 & -7 & -1474 & -79 & 45 & 388 & 550 & -24 & -207 & 79 & 799 & 808 & 200 & 135 & -7 & 835 & 91 & 144 & 178 & 9 & 1182 & 267 & 164 & 96 & -74 & -123 & -113 & 149 & -260 & 354 & -231 & 67 & 410 & 719 & -185 & 50 & -12 & 120 & 1781 & 67 & 6124 & 140 & -118 & 465 & 989 & 265 & 480 & 516 & -113 & 62 & -62 & 1301 & 111 & 16 & 31 & -241 & 173 & 509 & -284 & 907 & 86 & -123 & 301 & -41 & 217 & 62 & 188 & 907 & 253 & 166 & 147 & 449 & 335 & 26 & 337 & 108 & 142 & 330 & -159 & 10039 & 200 & -12 & -519 & 185 & -19 & -234 & 45 & 439 & 108 & -415 & -62 & 468 & 366 & -260 & 253 & 183 & 33 & -120 & 70 & 234 & -357 & -60 & 1349 & -70 & 876 & 4 & 16 & -482 & -200 & 31 & 106 & -613 & 101 & 159 & -567 & 306 & 62 & 321 & 439 & -844 & 82 & 289 & 190 & 234 & 352 & 106 & 550 & 45 & -137 & -212 & 639 & -251 & 36 & 685 & 960 & 282 & -7 & 115 & 364 & 217 & 48 & 1692 & -485 & 123 & 704 & 21 & 53 & -417 & -24 & 140 & 43 & -214 & 248 & 304 & 284 & 4210 & 422 & 366 & -282 & 671 & 468 & 98 & -171 & -24 & 1793 & 142 & 547 & 803 & -253 & 605 & 376 & -1812 & 924 & 0 & 393 & 301 & 251 & 89 & 16 & 434 & -130 & 118 & 57 & -308 & 24 & -62 & 214 & 2 & 248 & 251 & 159 & 36 & -333 & 330 & 127 & -9 & -74 & 953 & -96 & 552 & 12968 & 700 & -149 & 1788 & -118 & 1141 & -439 & 465 & 147 & 238 & -41 & 96 & 7 & 241 & -74 & 354 & 103 & 62 & 108 & 258 & 362 & -205 & -31 & -485 & 451 & 485 & 680 & 164 & 296 & -106 & 111 & 1419 & 255 & 1202 & -168 & 1911 & 43 & -33 & 1385 & 9 & 359 & -82 & 65 & -9 & 60 & -357 & 183 & 395 & 28 & -1013 & -357 & 154 & 57 & -156 & 345 & 296 & 936 & -197 & 45 & 132 & 680 & -164 & 248 & -21 & 243 & 149 & 277 & 38 & 296 & 342 & -905 & 270 & 0 & 929 & 526 & 287 & 77 & 248 & 1011 & 1351 & 871 & 374 & 598 & -57 & -731 & 11396 & 265 & 3374 & -41 & 154 & 779 & 260 & 444 & 91 & 125 & 282 & 26 & 453 & 164 & -33 & 564 & 1192 & 82 & 2 & -43 & -38 & 0 & 183 & 2266 & 118 & 301 & 89 & 89 & 277 & 10071 & 10718 & 9257 & -14 & -2 & 50 & 231 & 101 & 48 & 593 & 149 & -113 & 21 & 28 & 111 & 275 & 378 & -108 & 620 & -255 & 393 & -62 & 212 & 473 & -45 & -127 & 12 & 313 & 238 & 67 & 444 & -9 & 267 & 79 & 48 & 84 & 352 & 666 & 1923 & 84 & 149 & 12994 & 21552 & 17547 & 12934 & 10278 & 28844 & 4212 & 313 & 2273 & 50 & -654 & 712 & -9 & 251 & 659 & 159 & 65 & -395 & -222 & 424 & 19 & -62 & 248 & 458 & 98 & 161 & -130 & 267 & -43 & 149 & -70 & 451 & 280 & 14 & 359 & 168 & 79 & -195 & 50 & -12 & -72 & 91 & 656 & 202 & -127 & 444 & -82 & 19 & 354 & 108 & -168 & -2 & 1129 & -238 & 33 & -55 & 253 & 441 & 589 & -388 & 195 & 350 & -168 & 535 & 296 & 94 & 608 & 108 & 185 & 229 & 852 & 140 & -9 & 101 & -111 & -207 & 258 & 26 & 53 & -14 & 120 & 72 & 1158 & 383 & 149 & 7 & -57 & -168 & 980 & 98 & 55 & 439 & 509 & 217 & -381 & 55 & 1192 & 497 & 70 & -125 & -673 & 540 & -84 & 193 & 183 & -14 & 267 & 89 & -62 & 1035 & 453 & -470 & 359 & -48 & -33 & -415 & 36 & 173 & 325 & 350 & 33 & -36 & 907 & 7 & 200 & 96 & -38 & -38 & 193 & 371 & 171 & 125 & 195 & 120 & 1771 & 36 & 284 & 2172 & 704 & 1322 & -176 & 96 & 115 & -101 & -65 & 359 & 36 & -195 & 38 & 207 & 280 & 125 & 497 & -9 & 260 & 526 & 3176 & 219 & -132 & 185 & 72 & -214 & -14 & 127 & 106 & -86 & -383 & 446 & 140 & 2 & -634 & 202 & -135 & 7 & -33 & -86 & 350 & 38 & 115 & -755 & -79 & 794 & 149 & -267 & 251 & 94 & -120 & -224 & -12 & -101 & 24 & 441 & -118 & 700 & 569 & -719 & 0 & 275 & 236 & 779 & -125 & 540 & -53 & 166 & -70 & 2981 & 888 & 453 & 50 & 639 & 272 & 342 & -294 & 94 & 219 & 412 & -108 & 1308 & -323 & 984 & -19 & 147 & 364 & 270 & 325 & 106 & 4 & 96 & -168 & 50 & 480 & -130 & 217 & 712 & 294 & 77 & 620 & 130 & 837 & -171 & -231 & 374 & 453 & 1221 & 190 & -50 & 14 & -16 & 31 & -118 & 171 & 427 & 200 & 140 & -183 & 226 & 74 & 282 & -108 & 306 & -72 & -598 & 709 & -91 & 185 & 147 & 289 & 183 & -243 & -538 & 197 & 304 & 724 & 376 & -260 & 395 & -784 & 166 & 115 & 183 & 161 & -7 & 477 & -328 & 178 & 185 & 222 & 234 & -185 & 709 & 550 & 123 & 560 & -1190 & -28 & -475 & 9 & -142 & -24 & 181 & 149 & -21 & 569 & -115 & -407 & 132 & -31 & -38 & 861 & 178 & 62 & 166 & 1373 & 395 & 1441 & 45 & 111 & 1349 & -683 & 101 & 226 & -74 & 50 & 57 & 374 & 36 & 26 & 400 & 16 & 156 & -540 & 1004 & 1424 & 1021 & -453 & 374 & -137 & 188 & 125 & 33 & 1156 & 212 & -902 & -2 & 224 & 1356 & -38 & -130 & -24 & 519 & 1127 & 538 & 424 & -132 & -41 & -57 & -519 & -125 & -152 & 72 & 470 & 55 & 94 & -60 & 369 & 424 & 400 & 89 & 77 & -642 & -308 & 808 & 2 & 185 & 210 & 166 & 31 & 321 & 340 & 135 & 608 & 26 & 135 & 1165 & 132 & 89 & 2582 & 395 & 166 & -82 & -750 & 65 & -2 & 231 & 207 & -456 & 96 & 84 & -224 & -176 & -325 & 311 & 601 & 101 & 509 & 241 & -376 & 535 & 306 & -31 & 449 & 243 & 398 & 41 & 120 & 86 & -654 & -217 & 576 & 755 & 205 & 4 & 226 & -60 & 140 & -19 & 432 & -374 & 127 & 1004 & -77 & 7 & 72 & -168 & 38 & 378 & 135 & 3915 & 178 & 3748 & 808 & -130 & -2 & 531 & 970 & 1687 & -41 & 1158 & -50 & 449 & 45 & 2887 & -45 & 234 & 243 & 91 & 289 & 2336 & 50 & -265 & 231 & 687 & 57 & 137 & 14 & 53 & -253 & 9 & -2 & 60 & 586 & 308 & 195 & -176 & 468 & 94 & 799 & -499 & 446 & -113 & 1436 & -1095 & 82 & -79 & 656 & 528 & 470 & 357 & 1098 & 441 & -277 & 19 & 96 & 101 & -946 & 1487 & 108 & 96 & 786 & 398 & 337 & -89 & -147 & 135 & 190 & 212 & 168 & 400 & 164 & 50 & 687 & 156 & 118 & 639 & 680 & 190 & 301 & 14551 & -67 & 1670 & -222 & 374 & 84 & 1122 & -154 & 675 & -347 & -214 & 1013 & 94 & -43 & 760 & 323 & -55 & 366 & 480 & 265 & 354 & -91 & 308 & -26 & 721 & 140 & 98 & 1530 & 113 & 50 & 11027 & 176 & 760 & 1062 & 1035 & 86 & 605 & 1733 & 50 & 1006 & 299 & 427 & -74 & 313 & 36 & 289 & 111 & 306 & -200 & -736 & 1257 & 902 & -280 & -137 & 86 & 45 & 625 & 1305 & 422 & 294 & 289 & 1134 & -98 & -48 & 21 & 543 & -743 & -72 & 89 & -9 & 33 & 1240 & -229 & 36 & -101 & 4 & 226 & -14 & 226 & -241 & 335 & 350 & 149 & 1228 & 120 & -132 & 9 & -53 & 127 & 482 & 219 & 77 & 125 & 111 & -166 & -79 & 487 & 965 & 308 & 504 & 185 & 1108 & 106 & -135 & 7 & -82 & 70 & -74 & 313 & -106 & 591 & -318 & 1431 & -490 & 0 & 9 & 292 & -36 & 1134 & 255 & 4 & 675 & 9 & 70 & 36 & 98 & 755 & 690 & 417 & 21 & 86 & 48 & 337 & -57 & 946 & -12 & 123 & 596 & 9366 & 690 & 1069 & 183 & 173 & 140 & -222 & -19 & 258 & 72 & 16 & -26 & 236 & 164 & -2 & 972 & 2 & 231 & 36 & 14 & 0 & 74 & 164 & 1069 & 222 & -120 & 12 & 337 & 475 & -910 & -113 & 214 & -118 & 2 & -304 & -36 & -243 & 164 & -1209 & -103 & -519 & 675 & 243 & 400 & -234 & 214 & 610 & -91 & 644 & 7 & -26 & -185 & -352 & -14 & -86 & 195 & 2218 & -473 & -193 & 118 & 79 & -125 & 325 & 328 & 103 & 1648 & -190 & 335 & 9 & 1549 & -26 & 427 & 79 & -113 & 82 & -393 & -424 & -113 & 45 & 434 & 552 & -65 & 36 & 176 & -60 & 697 & 757 & 1651 & 226 & -67 & 955 & 57 & -231 & 222 & -38 & -2 & 33 & -38 & 57 & 1042 & 975 & -103 & 9 & -113 & 19 & 265 & 1670 & 120 & 1255 & 168 & 465 & -82 & 229 & 280 & 284 & 796 & -106 & 301 & 195 & -67 & -335 & 405 & 560 & -55 & 103 & 28 & 171 & 38 & 366 & -106 & -24 & 1231 & 509 & 1100 & 555 & -1122 & 178 & -127 & -43 & 485 & 1576 & -21 & 654 & -55 & 156 & 603 & -48 & 214 & 337 & -185 & 31 & -284 & 292 & 366 & -7 & 173 & -31 & -96 & -24 & 1310 & -2 & 7 & 637 & 634 & 53 & 362 & 193 & 28 & 0 & 680 & 422 & -38 & -45 & 45 & 197 & 164 & 340 & 275 & -67 & 77 & -43 & 1482 & 391 & 465 & -205 & 407 & 1013 & -21 & 207 & 1388 & -383 & 1136 & 14 & 934 & -67 & -185 & 53 & 398 & -395 & 33 & 154 & -144 & 125 & 111 & 130 & 523 & 1503 & 492 & 4 & 67 & 432 & 449 & 2223 & -94 & 74 & 2220 & 108 & -166 & -41 & 347 & -251 & -205 & 106 & 53 & 86 & -7 & 301 & 4 & 57 & 101 & 1074 & -74 & -284 & 164 & 149 & -24 & 366 & -168 & 2563 & 574 & 26 & -272 & -166 & 53 & 222 & -84 & 108 & 955 & 1028 & -67 & 412 & 282 & -140 & 57 & 251 & 458 & 123 & -337 & 149 & -118 & -28 & 9 & 1093 & -313 & 48 & 84 & 340 & 253 & 487 & 323 & 856 & -79 & -405 & -195 & 190 & 5776 & 156 & 1465 & 306 & -224 & 311 & 91 & 1880 & 234 & 113 & -535 & 499 & 432 & -132 & 1025 & 120 & 231 & 687 & 791 & -366 & -55 & 205 & -98 & -7 & -4 & 72 & 0 & 176 & 214 & 65 & 173 & -388 & 311 & 77 & 185 & 166 & 757 & 936 & -9 & 316 & 531 & 36 & 26 & -118 & -106 & 1303 & 429 & 847 & 125 & 251 & 118 & 106 & -166 & 721 & 321 & 62 & -16 & -31 & 106 & 1103 & 77 & 79 & -21 & -62 & 183 & 12 & 21 & -21 & 480 & -123 & -60 & 376 & 538 & 282 & -238 & -28 & 149 & 159 & 135 & -127 & 243 & 446 & -659 & -140 & 482 & 36 & -292 & -178 & 142 & 140 & -70 & 308 & -325 & 130 & 953 & 287 & 547 & 60 & 31 & 622 & 219 & 852 & -106 & 108 & 31 & 946 & 634 & 103 & 347 & 1404 & -14 & 67 & -282 & 31 & -1252 & 164 & 149 & 67 & -115 & 101 & 67 & 72 & -458 & 311 & 125 & 236 & 1767 & -103 & 57 & -531 & 212 & 50 & -574 & -45 & 591 & 89 & 77 & 103 & -118 & 1547 & -31 & -57 & 265 & 374 & 74 & -132 & 94 & 243 & 490 & -181 & 33 & 106 & 241 & -246 & 724 & 226 & 205 & -436 & 504 & 837 & 238 & 142 & 183 & -292 & -45 & 842 & 463 & 4 & -340 & 381 & 275 & 212 & 171 & -272 & -50 & -45 & -161 & 2290 & -16 & 1361 & -82 & 337 & 1257 & 905 & 1441 & 77 & 197 & 318 & 62 & 864 & -255 & -509 & 275 & 48 & -57 & -14 & -120 & -164 & 284 & 837 & 60 & 972 & -7 & -67 & 393 & 113 & 936 & 386 & 181 & 243 & 958 & -111 & 323 & 147 & 521 & 45 & 557 & 74 & 246 & 108 & -352 & -12 & 1552 & -4 & 82 & -4 & -164 & 190 & 43 & -304 & -185 & 45 & 407 & 345 & 417 & 181 & 234 & 381 & 313 & 14 & -70 & 948 & 154 & -60 & 3592 & 543 & 21 & 96 & 480 & -45 & -4 & -444 & 823 & 1004 & 1361 & -43 & 325 & 3326 & 306 & -306 & 9450 & 366 & -4 & 147 & -125 & 226 & 328 & 362 & 101 & 21 & -84 & 190 & -352 & -173 & 1197 & -101 & 89 & 813 & 72 & -28 & 202 & 15978 & 14 & 2315 & -707 & 6319 & -26 & 181 & 60 & 84 & 21598 & 12 & 2 & -89 & -545 & -21 & -41 & 212 & 878 & 4 & 519 & 989 & -147 & 523 & 62 & -45 & -132 & 1354 & 231 & 514 & -67 & 89 & 270 & 475 & 89 & 4690 & -572 & 20622 & 461 & 608 & -181 & 28 & -127 & 465 & -12 & 847 & 1455 & -207 & -38 & 176 & 14 & 166 & 31 & 528 & 514 & 753 & -7 & 987 & -2 & -57 & 224 & -248 & 1774 & -41 & -354 & 509 & 7 & 28 & 403 & -1045 & 318 & 65 & -70 & 45 & 43 & -24 & 72 & -185 & 115 & 12 & 98 & -371 & 127 & -26 & -540 & 21250 & 24 & 154 & 125 & 900 & 519 & 1443 & 43 & 613 & 236 & -330 & -43 & 456 & -24 & -142 & 77 & 284 & 55 & 84 & 120 & 255 & 731 & -103 & 506 & 3232 & 222 & -132 & 0 & 813 & -801 & -224 & 7 & 509 & 668 & 43 & 306 & 1021 & 55 & 724 & -1219 & 1153 & 400 & 3304 & -113 & 815 & -113 & 193 & 258 & 492 & 678 & 2073 & 994 & -26 & -26 & 200 & 970 & 584 & -45 & 581 & 195 & -16 & 1214 & -57 & -224 & -9 & 152 & 5021 & 777 & -77 & -337 & 115 & 2867 & 786 & 65 & 673 & 1076 & 403 & -890 & -181 & 1870 & -70 & 243 & 147 & 15068 & 57 & 171 & 31379 & 2196 & 65 & 2334 & 89 & -65 & 272 & 2121 & -36 & 1110 & 115 & 214 & -267 & -1308 & 251 & -50 & 82 & 799 & 33 & 296 & -43 & 21262 & 345 & -65 & 719 & 292 & 45 & 531 & 77 & 275 & -926 & 65 & 6500 & 1870 & -67 & 12 & 321 & -16 & -41 & -70 & 120 & -514 & -306 & -43 & -12 & -859 & -79 & 55 & 108 & 316 & 183 & -574 & 14 & 376 & 589 & -248 & 173 & 323 & 91 & 453 & -16 & -55 & 1170 & 142 & 4627 & 504 & 446 & 2 & 5474 & 449 & -14 & -43 & 53 & -675 & -620 & 8627 & 86 & 325 & -678 & -103 & -57 & -41 & 1088 & 287 & 94 & 4 & 251 & 94 & 50 & 318 & -2 & 86 & 60 & 642 & 330 & 1122 & 490 & -26 & -62 & 33 & 685 & -333 & 14143 & 2252 & 24 & -393 & 79 & 36 & 12164 & 359 & 422 & 427 & -108 & 2013 & 2771 & -248 & 352 & 130 & 231 & 289 & 82 & 23717 & 8263 & 53 & 922 & -171 & 270 & 803 & 625 & 666 & 999 & -214 & 5846 & -84 & -214 & -132 & 487 & -57 & 50 & 453 & 13407 & 72 & -388 & 0 & 86 & -127 & 1375 & -120 & 60 & -53 & 4646 & 589 & 36 & 144 & -552 & 70 & 166 & 36 & 98 & 181 & -241 & -79 & 366 & 164 & -50 & 2090 & 2515 & 1248 & 1018 & -43 & 115 & -98 & 936 & 3063 & 321 & -477 & 168 & -62 & 333 & -50 & -123 & 427 & -12 & -2 & 267 & 1547 & 74 & 137 & 62 & 132 & 490 & 482 & 24 & 593 & -12 & 282 & 2824 & 784 & 453 & 649 & 14911 & 3645 & -243 & 38 & 226 & 161 & 67 & 115 & -89 & 514 & 77 & 321 & 20415 & 41 & 21 & 16 & -41 & -123 & -14 & 869 & 407 & 219 & 352 & 7 & 963 & 70 & 354 & 620 & 574 & 615 & -217 & -103 & -48 & 5803 & 560 & 45 & -168 & 26 & -16 & -43 & -156 & 357 & 65 & 33 & -28 & 115 & 340 & 755 & -36 & 917 & -86 & 362 & -893 & -166 & -38 & 91 & 576 & 786 & 137 & 509 & 1815 & 634 & 634 & 760 & -12 & -28 & -28 & -38 & 292 & 125 & 789 & 41 & 140 & 26 & 70 & 195 & 15372 & -229 & -1132 & 16 & 318 & 745 & 176 & 813 & -540 & 4907 & -214 & 176 & 234 & 318 & 14056 & -147 & 970 & 296 & 193 & 217 & 871 & -106 & -130 & 263 & -154 & -567 & 1960 & 96 & 15015 & 7251 & 149 & 2068 & 3826 & 521 & 1445 & 395 & 866 & 777 & 2348 & 702 & 108 & 992 & 354 & -36 & 1187 & 299 & 120 & 306 & 96 & 84 & 7312 & -50 & 38 & 576 & -84 & -236 & 4637 & 502 & 4246 & 212 & 3213 & -72 & 531 & 308 & 422 & 144 & 386 & 217 & -289 & -161 & 697 & 45 & 1028 & 16869 & -214 & 55 & 45 & 43 & 499 & 152 & 572 & 176 & 292 & 98 & 94 & 0 & 16 & 50 & 1165 & 1170 & 977 & 2307 & 243 & 24 & 57 & 197 & 427 & 1132 & 388 & 2 & 253 & 98 & -219 & 263 & 738 & 94 & 511 & -333 & 7 & 226 & 924 & 96 & 149 & 65 & 24 & 77 & -173 & 680 & -231 & 376 & -260 & 439 & 581 & 16 & -31 & -140 & -4 & 446 & 637 & 579 & 132 & 815 & 774 & 14 & 43 & 226 & 195 & -77 & -89 & 38 & 485 & 243 & -45 & 16 & 267 & 424 & 306 & -62 & 6232 & -193 & -137 & 14 & -12 & -45 & 294 & 120 & -168 & 65 & -127 & -168 & 1803 & 267 & 84 & 152 & 43 & 9129 & 296 & 774 & 91 & 7 & 13013 & 400 & 557 & -140 & -226 & -219 & 1827 & -210 & 9 & 236 & 231 & -106 & 67 & 424 & 111 & 376 & -62 & 195 & 1105 & 1443 & 859 & -444 & 318 & 101 & 403 & 854 & 714 & 1496 & 25158 & 832 & 5793 & 132 & 666 & 246 & 207 & 405 & 176 & 67 & -77 & -659 & 16 & 60 & 70 & 1342 & 118 & 115 & 60 & -72 & -16 & -234 & 393 & -70 & 142 & 533 & 509 & -275 & 2302 & 137 & 989 & 1132 & -222 & -74 & 202 & 89 & 357 & -57 & -156 & 308 & 1115 & -41 & 386 & 1079 & 234 & 251 & -50 & 519 & 132 & 347 & 4 & -84 & -265 & -135 & 103 & 593 & 50 & -12 & 118 & 33 & 231 & -289 & -94 & 193 & -98 & -7 & -45 & -72 & -7 & -453 & 142 & 325 & 135 & 154 & -393 & 55 & -7 & 856 & 637 & 458 & 323 & 159 & 82 & -111 & -101 & -106 & 272 & 965 & -246 & 4 & 1146 & 74 & -103 & -62 & 166 & -62 & -173 & 16 & 38 & -140 & -38 & -60 & 687 & -272 & -144 & 166 & 736 & 142 & -16 & 123 & 378 & 2841 & 217 & -567 & 14 & -415 & 801 & 226 & 615 & 106 & 700 & 24 & 458 & 371 & -666 & -33 & 207 & -168 & 178 & 214 & 65 & 492 & -246 & 224 & 335 & 9 & -149 & 4 & 1016 & 106 & 958 & -111 & 791 & -67 & 79 & 893 & 7 & -36 & 202 & 130 & 212 & -137 & 449 & 289 & -178 & 296 & 453 & 101 & 340 & 60 & 270 & -234 & -45 & -381 & 79 & 21 & -745 & 584 & 977 & 241 & 642 & 354 & -347 & -2 & 60 & -36 & -31 & 700 & 31 & 137 & -21 & 86 & -1038 & 200 & 28 & 26 & 9 & -181 & 13129 & 16 & 613 & 33 & 86 & 41 & -106 & 178 & -231 & 193 & 301 & 975 & 7 & 277 & 296 & 108 & 130 & -103 & 417 & 345 & 1684 & 461 & 2 & 53 & -156 & 900 & 482 & 856 & 716 & 94 & 784 & -147 & 1112 & 94 & 719 & 60 & 14 & -736 & 53 & -50 & 275 & 1103 & 149 & 89 & -72 & 521 & 84 & 634 & 994 & 210 & 12 & -84 & 190 & -72 & 576 & 376 & 550 & 965 & 55 & 113 & 125 & -1554 & 398 & 106 & 364 & 977 & 828 & -147 & -422 & -625 & 642 & -89 & 808 & 190 & 499 & -103 & -673 & 422 & 487 & 1907 & 108 & 24 & 306 & -439 & -118 & -120 & -260 & 94 & 176 & 89 & -21 & 883 & 1136 & -106 & -94 & -101 & 8149 & 963 & -89 & -36 & -270 & -181 & 1057 & -195 & 125 & -405 & -60 & 38 & 82 & -241 & 38 & 702 & 299 & -26 & -38 & 147 & -89 & -26 & 2 & 127 & -801 & 106 & -60 & 463 & 48 & 1296 & 202 & 564 & 135 & 120 & 289 & 333 & -123 & 333 & -407 & 354 & 41 & 26 & -7 & 412 & 1742 & 55 & -683 & 19 & 1081 & -36 & -67 & 127 & -60 & 173 & -185 & 38 & 1409 & -173 & 137 & -695 & 55 & 229 & 492 & -106 & 219 & 111 & -301 & -41 & -243 & -420 & -130 & 36 & 142 & 671 & 219 & 115 & 62 & 120 & -28 & -132 & -12 & -19 & 14 & 185 & -55 & 7 & 1021 & 378 & -103 & 12 & 352 & 294 & 28 & -427 & 9 & 941 & -224 & 803 & 634 & -468 & -45 & -178 & -511 & 465 & 98 & -72 & 289 & 176 & 38 & 388 & 154 & 91 & 1139 & -214 & 219 & -118 & 84 & -526 & 31 & -55 & -53 & 207 & 29371 & 2237 & -272 & 692 & 782 & 149 & -253 & 456 & 36 & 243 & -374 & 16 & 185 & -521 & -345 & -164 & 330 & 2619 & -60 & -41 & -7 & -62 & 586 & 642 & 229 & 1684 & 149 & 67 & 132 & 992 & 12475 & 581 & 41 & 195 & -60 & 106 & 70 & 33 & 5636 & 388 & -576 & -200 & 125 & -214 & 12675 & 753 & 4 & 10078 & 142 & 79 & -366 & 113 & -67 & 60 & -38 & 538 & 1643 & 231 & 82 & 311 & 552 & 837 & 494 & 31 & 1409 & 7 & -115 & 195 & 316 & -82 & 475 & 456 & 900 & 36 & 224 & 197 & 127 & 183 & -79 & 794 & 3024 & 195 & 1243 & -231 & -251 & -72 & 202 & -183 & 188 & -210 & 301 & 48 & 337 & 697 & 161 & 294 & 449 & -1694 & 463 & -70 & 115 & 451 & -144 & 50 & 82 & 67 & 84 & 166 & -57 & 267 & 15447 & 963 & 205 & 757 & -31 & 26 & 656 & -123 & 572 & 168 & -142 & 222 & 62 & -294 & 217 & 4074 & 613 & 926 & 755 & 584 & 260 & 74 & 277 & 2131 & 898 & 161 & 485 & -451 & -263 & -171 & 53 & 26442 & -492 & 1520 & 637 & -391 & 369 & -545 & 4 & 183 & -26 & 38 & 98 & 159 & -48 & -70 & -79 & 77 & 1151 & 7 & -538 & -72 & 57 & -579 & 111 & -65 & -36 & -36 & 366 & -1134 & 57 & 4876 & -521 & 277 & 113 & -36 & 299 & -132 & 185 & 20963 & 6271 & 202 & 321 & 65 & -405 & 2010 & 1233 & -813 & 77 & 210 & 866 & -173 & 103 & 16 & 547 & 14 & 335 & 21 & -24 & -115 & -210 & 741 & 417 & 142 & -103 & 265 & 82 & 352 & 444 & 84 & 1508 & -371 & -231 & 193 & 111 & 53 & 243 & 514 & 77 & -4 & 634 & -101 & -21 & 241 & 144 & 125 & 598 & -144 & 12 & 241 & 70 & -31 & 72 & 144 & 528 & -446 & 26 & 137 & 96 & 74 & 79 & 41 & 613 & 610 & 569 & 137 & 241 & -106 & 12 & 398 & 9762 & 164 & 485 & -311 & 193 & -202 & 506 & -28 & 231 & 101 & 202 & 74 & 3283 & 417 & 43 & -19 & 111 & -405 & -181 & 26 & 193 & 79 & 217 & 101 & 849 & -26 & -98 & 330 & 185 & 354 & -72 & 465 & 246 & 185 & 207 & 275 & -292 & 91 & 89 & 226 & 28 & 200 & -260 & 318 & 557 & 91 & -598 & 48 & 504 & 147 & -4 & 185 & 135 & 1226 & 4598 & -21 & 649 & -166 & 531 & 241 & -101 & 161 & 24 & 2 & -234 & 16 & 147 & 62 & -48 & 171 & -509 & -7 & 181 & 7 & -111 & 41 & 154 & 697 & 2 & 287 & -258 & 178 & -86 & -181 & 72 & 41 & -57 & -19 & -154 & 125 & 350 & -4 & 48 & 72 & 205 & 53 & 248 & 328 & -7 & 494 & 721 & 154 & 700 & -16 & 108 & -287 & 231 & 415 & 154 & -16 & 57 & 0 & -113 & 152 & 864 & -214 & 33 & 231 & 41 & 137 & -4 & 36 & -115 & 3258 & -28 & -202 & 60 & 721 & 376 & 41 & -67 & 403 & 82 & 137 & 277 & -19 & 164 & 2059 & -57 & 130 & 195 & -7 & 5832 & 830 & 36 & -33 & -14 & 74 & 48 & 178 & 50 & 0 & 354 & -456 & 499 & 234 & 1501 & 1395 & -33 & 65 & 82 & 98 & 115 & 43 & 1127 & 236 & 21 & 468 & 226 & -96 & 1375 & 21 & 801 & -50 & -26 & 113 & 569 & 57 & -74 & 3295 & 304 & -4 & -28 & -98 & 258 & -36 & -50 & 16 & -19 & 106 & 70 & -89 & -420 & 4101 & 108 & 70 & -470 & -555 & 861 & 15874 & -4 & -161 & -43 & -103 & -111 & 130 & -296 & -255 & 7 & 1467 & 494 & 86 & 50 & 2491 & 316 & 2018 & -45 & 750 & -485 & -125 & -168 & 28 & 111 & 1764 & 82 & 89 & -984 & 72 & 96 & 127 & -176 & 340 & 523 & 436 & 514 & 958 & 1062 & 434 & 89 & 50 & -1484 & 308 & 38 & -43 & 6199 & -190 & 277 & 45 & 185 & 140 & 567 & 666 & 972 & 132 & 13120 & 43 & -212 & -9 & 811 & 137 & 234 & 91 & 236 & 84 & -91 & 12 & 79 & 4 & -26 & -89 & 741 & 2766 & 60 & -118 & -255 & 152 & 19 & 854 & -4 & -762 & -347 & 161 & 55 & 272 & 4 & 4048 & 243 & 45 & -36 & 337 & -161 & -50 & 301 & -111 & -72 & 19 & 171 & -60 & 446 & 393 & 48 & 1397 & -19 & -197 & 403 & 7 & 458 & -321 & -72 & 38 & -55 & 62 & -468 & 1897 & -21 & 70 & -41 & 572 & 1252 & 7 & -38 & 456 & 335 & 321 & 497 & -96 & 1484 & 900 & 1219 & 2059 & -490 & 634 & 108 & -231 & 1207 & 120 & 135 & 207 & 304 & -1062 & 42904 & 178 & 1163 & 7 & 521 & 260 & 391 & 57 & 366 & 796 & 98 & -82 & -130 & 98 & 591 & 12 & 1996 & 168 & 1544 & 936 & 362 & -255 & 60 & 362 & 439 & -111 & -135 & -224 & 98 & 62 & -166 & 48 & 53 & 16 & -2 & 818 & 231 & -50 & -569 & 84 & 3099 & 217 & 265 & 16 & 200 & -41 & 31 & 651 & 357 & -241 & 2445 & 301 & -605 & -316 & -439 & 1127 & 1605 & 316 & -113 & -627 & 2488 & -74 & 9233 & 10351 & 335 & 137 & -171 & 989 & 4137 & 608 & -60 & -427 & 328 & 1117 & -299 & 173 & 67 & 371 & 441 & 480 & 14474 & 19768 & 210 & 142 & -74 & 188 & 427 & -451 & -2 & 236 & 144 & 412 & 289 & 1204 & 490 & -106 & -60 & 45 & -627 & -506 & 630 & 9 & -393 & -31 & 284 & 24 & -876 & 434 & 195 & 393 & 313 & -299 & 2 & 922 & -362 & 50 & 36 & 48 & 123 & -21 & -24 & -229 & 70 & -248 & 2037 & 120 & 649 & 304 & 113 & 26 & -79 & 683 & 255 & 557 & 357 & 91 & -77 & -19 & 60 & -2 & -70 & -60 & 137 & -511 & -154 & 144 & 429 & 231 & 3599 & 7975 & 2003 & 7925 & -21 & -41 & 212 & 137 & 2 & 41 & 1211 & -205 & 91 & -306 & -132 & 270 & 791 & 67 & 111 & 533 & 202 & -222 & -140 & -217 & 190 & 3068 & -9 & 294 & 260 & 427 & 135 & 434 & -224 & 149 & 4982 & 193 & 70 & -328 & 579 & -873 & 267 & -519 & 463 & 86 & 214 & 62 & 200 & -127 & 94 & 197 & 1158 & 28 & 2 & 311 & 354 & 98 & 197 & 275 & -70 & 65 & -96 & -2452 & 72 & 412 & 214 & 86 & 103 & -533 & 248 & 28 & 106 & -403 & -562 & 214 & 605 & 591 & 1436 & 634 & 217 & 86 & -330 & -77 & -62 & 490 & 234 & -60 & 294 & 243 & 958 & 350 & 292 & 101 & -135 & -89 & 1262 & 152 & 434 & 65 & 910 & 91 & 16 & 43 & 2 & 1095 & 299 & 77 & 362 & 200 & 115 & 1474 & 386 & 400 & 185 & -111 & 9 & -304 & 340 & -395 & 193 & 485 & -883 & 1013 & 50 & -161 & -321 & 596 & 364 & 21240 & 243 & -420 & 18109 & -21 & 149 & -9 & -376 & -120 & -267 & 584 & -2339 & 630 & -190 & 313 & 15140 & 2035 & 2503 & 14 & 649 & 77 & -31 & 277 & 55 & 458 & 217 & 178 & 161 & -144 & -415 & -485 & -19 & 197 & 1228 & 321 & -113 & 321 & 543 & -171 & -28 & -444 & 0 & 726 & 9 & -125 & -12 & 45 & -236 & 31 & 306 & 531 & 410 & 21 & -33 & 50 & -2 & 323 & 731 & -222 & 376 & -321 & 376 & 1537 & 154 & 709 & 12 & 1059 & 420 & 161 & 393 & -12 & 2153 & 1646 & 1170 & 35196 & 22889 & -101 & 236 & 82 & -193 & -197 & -135 & 584 & 84 & 3577 & 123 & -161 & 72 & 26 & -270 & 345 & 325 & -929 & 357 & 79 & 14 & 57 & 323 & 106 & 260 & 444 & 82 & 74 & 18665 & 1641 & 142 & 55 & 123 & -89 & -557 & 111 & -156 & 277 & 140 & -444 & -637 & 79 & 1581 & 7 & 277 & 704 & 347 & -16 & -28 & 289 & -185 & 1779 & 560 & 38 & -168 & 166 & -1035 & 231 & 98 & 224 & 2158 & 156 & -306 & 2216 & -120 & 55 & 144 & -24 & 77 & 354 & -106 & 7 & -72 & 415 & 1752 & 147 & -130 & 294 & 251 & 424 & -101 & 181 & 663 & -333 & 28 & -41 & 159 & -106 & -16 & 586 & 82 & 579 & 321 & 0 & -130 & -260 & 490 & 171 & 987 & -893 & -497 & -19 & -1718 & -36 & 94 & 1190 & -398 & 828 & 342 & 449 & -181 & -154 & 137 & 154 & 154 & -53 & -96 & -43 & 111 & 118 & -391 & 434 & 202 & 53 & 615 & 659 & 748 & -161 & 181 & 236 & 444 & 7 & 200 & 137 & 316 & 282 & 572 & 101 & 79 & 968 & -111 & 96 & 313 & 782 & 910 & 31 & 533 & -519 & -50 & -519 & -168 & -277 & -680 & 270 & 48 & 161 & -282 & 159 & -226 & 207 & -659 & 168 & -2148 & 1009 & 241 & 72 & 168 & 70 & 741 & 753 & 24864 & 176 & 304 & 808 & 272 & 171 & -716 & -123 & 1083 & -941 & 108 & 3495 & -333 & 13624 & 82 & -140 & 18988 & 0 & 463 & -7 & -719 & 4 & 905 & -24 & 1629 & -82 & 429 & 1494 & 2088 & 432 & 43 & 159 & 335 & 741 & 195 & -152 & -511 & -48 & 625 & 794 & 135 & 6824 & 24 & -207 & 1091 & 19 & -229 & 1182 & -231 & 9 & 108 & -212 & -140 & 7 & 470 & 84 & 422 & 1477 & 12089 & -43 & -38 & -108 & 7 & -45 & -123 & 895 & 506 & -103 & 1827 & 6271 & 19 & 1629 & 238 & 24 & 2998 & 9 & 111 & -12 & -70 & 3548 & 86 & 519 & -74 & 502 & -545 & 1216 & 337 & -615 & -60 & 243 & -144 & 523 & 152 & 1033 & 832 & -140 & 545 & 2947 & -267 & -241 & 441 & 905 & 388 & 57 & 135 & 140 & 1687 & 1648 & -70 & -41 & 156 & 144 & -14 & 475 & -9 & 1192 & 378 & 1385 & -197 & -45 & 130 & -7 & 31 & 284 & 596 & -161 & 4 & 992 & 45 & -38 & -1535 & 449 & 1441 & 19 & -79 & 545 & -555 & -270 & -219 & 60 & -14 & -60 & 473 & 1426 & -275 & -168 & 685 & 8700 & 65 & 299 & 181 & -70 & 108 & -337 & 441 & 3205 & 120 & -45 & 96 & 560 & 395 & 166 & -53 & 803 & 243 & -378 & 1079 & 98 & 335 & 702 & 881 & 16 & 144 & -41 & 644 & 219 & -33 & -207 & 1421 & 490 & 202 & -984 & 60 & -147 & 436 & -57 & 89 & -311 & -41 & 9 & -84 & 374 & 72 & -19 & 115 & -238 & -224 & 526 & 1351 & -473 & 366 & 2546 & 569 & -4 & -89 & 393 & 89 & 538 & 135 & 1738 & -135 & 86 & 74 & 130 & 1286 & 374 & 36 & 130 & 137 & 74 & 9349 & 55 & 41 & 395 & -422 & 7 & 924 & 516 & 135 & 103 & 253 & 931 & -178 & 3041 & -65 & 91 & 610 & 86 & -84 & 316 & 0 & 581 & -9 & 910 & 67 & 1226 & 584 & 1298 & -67 & 2 & 202 & -376 & -16 & -45 & 111 & 79 & 436 & 748 & 1824 & 799 & -9 & 400 & 79 & -135 & 164 & -137 & 96 & -33 & -410 & 171 & 67 & -4 & 236 & -96 & 649 & 57 & 376 & 337 & 275 & 410 & -120 & 118 & 316 & 164 & -21 & 181 & -362 & 806 & -41 & 10493 & 5554 & -393 & 328 & 149 & 1059 & -41 & 21098 & 106 & -632 & -19 & -393 & -164 & -265 & 94 & 282 & -4 & 627 & 132 & 98 & 533 & 53 & -183 & 28 & 82 & -176 & -149 & -24 & -144 & 1424 & 219 & -547 & -101 & 152 & 89 & -2 & 38 & 451 & -202 & 296 & 473 & -111 & 142 & 154 & 318 & -31 & -84 & -111 & -53 & 441 & -60 & 243 & 207 & 736 & -656 & 342 & -222 & 398 & 306 & 337 & -130 & 127 & -200 & 304 & 144 & 91 & 137 & 637 & 905 & -282 & 926 & 1412 & 910 & -57 & -1339 & 9 & -57 & 50 & -393 & -101 & 1769 & 103 & 41 & 120 & -627 & -144 & -412 & -7 & 24 & -840 & 381 & 265 & 226 & -195 & 724 & -458 & -94 & 77 & 50 & 70 & 306 & 748 & -108 & 253 & 1062 & 1658 & 808 & 434 & 21 & -229 & 31 & 1025 & -115 & -41 & 72 & -415 & 222 & 10341 & 591 & -24 & -45 & 12 & 171 & -36 & 161 & 3705 & 265 & 434 & 876 & 2652 & -19 & -492 & 422 & 183 & -378 & 441 & -113 & -142 & 391 & 340 & 120 & 333 & -156 & 53 & -123 & 108 & 41 & 1018 & 260 & 103 & -603 & 86 & 118 & 799 & 569 & 2319 & 4197 & -31 & 79 & 738 & -26 & 3251 & 280 & 111 & 427 & -1856 & 207 & -453 & 2 & 82 & 1047 & -79 & 615 & 190 & -181 & -552 & -671 & 212 & 120 & 1938 & -65 & 144 & 178 & 79 & -253 & -289 & 550 & -91 & 369 & -2 & -284 & 152 & 620 & -364 & -38 & 12 & 296 & -127 & 89 & 57 & 161 & 53 & 1923 & 108 & -72 & 422 & 9 & -190 & 2290 & 202 & -642 & -895 & 1100 & 22228 & -156 & 333 & -403 & 424 & 579 & 166 & 311 & 1503 & -168 & -197 & 567 & 284 & 135 & -2 & 323 & 57 & -96 & 164 & 683 & 96 & 43 & 461 & -24 & -509 & 94 & 70 & 258 & 745 & 36 & -144 & 120 & 1178 & 26 & 243 & -94 & -258 & -1409 & 661 & 1537 & 1004 & 543 & -3003 & -67 & 33 & 113 & -53 & 94 & 7 & -161 & 811 & 398 & 147 & 226 & 473 & 214 & -19 & 272 & 345 & 1542 & 898 & 23488 & 1182 & -547 & 9721 & -28 & 120 & 4 & 14 & 603 & 178 & -1721 & -2090 & -837 & 729 & 135 & -844 & 2237 & -31 & 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17858 & 50 & 70 & -195 & 70 & 94 & 494 & 330 & 183 & 142 & -9 & -7 & -84 & -24 & 429 & 856 & 815 & 429 & -605 & -2 & 603 & 381 & 2435 & 20818 & 12869 & 835 & 388 & -118 & 16456 & 12103 & 451 & 3239 & -352 & 41 & 547 & -50 & 156 & 41 & 19 & 323 & 420 & 231 & 246 & 533 & -101 & -451 & 2112 & 277 & 1023 & 67 & 214 & -135 & 1074 & 475 & 48 & 168 & -70\\\\\n", "\t40 & -87 & -248 & 262 & 295 & -226 & -493 & 367 & -452 & 194 & 162 & 207 & -960 & -622 & 175 & 171 & -71 & -163 & -445 & 20958 & 21 & 137 & -83 & 30 & 81 & 300 & -76 & -234 & -49 & 24 & -52 & -370 & -35 & -616 & -409 & -417 & -589 & 96 & 373 & -175 & -304 & -371 & 10756 & 10207 & 21238 & 9857 & 13271 & 17671 & 218 & -8 & -61 & 92 & 2029 & 344 & 601 & -68 & 257 & 440 & -155 & 660 & 430 & 4 & 131 & 68 & 181 & 70 & 406 & 1963 & 81 & 1021 & -1036 & -800 & 16 & -260 & -891 & 114 & -23 & 79 & 228 & 521 & -202 & -8 & 510 & 551 & -266 & -16 & 604 & 105 & 1080 & 537 & 187 & 1037 & 175 & 585 & 859 & 860 & -77 & 30 & 632 & 286 & -86 & 262 & 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395 & -1 & 52 & 1585 & 96 & -177 & 158 & 161 & 232 & 961 & 518 & 522 & 215 & 866 & -710 & 1639 & 29 & 106 & -786 & 149 & -103 & 136 & 1007 & 630 & 83 & 680 & 333 & 335 & -1521 & 825 & -1004 & -802 & -768 & 234 & 70 & 898 & 2671 & -127 & 26 & -673 & 64 & -745 & 219 & 207 & 67 & 27 & 38 & 528 & -112 & 363 & 579 & -39 & 60 & 418 & 177 & 846 & 354 & -566 & 187 & -13 & 62 & 273 & 650 & 120 & 317 & 92 & -32 & 93 & 159 & 256 & 294 & 76 & 541 & 137 & 136 & 923 & 960 & 551 & 1046 & 500 & -109 & 1193 & 243 & -426 & 196 & 163 & 118 & -216 & 61 & 267 & 849 & 177 & 581 & 207 & 428 & 84 & 61 & -980 & 1219 & 159 & -23 & 554 & 326 & 585 & 3358 & 279 & 752 & 335 & 966 & 161 & -23 & 691 & 196 & 650 & 452 & 1046 & 720 & 235 & -46 & 130 & -840 & 62 & 84 & -93 & 991 & 310 & 175 & 982 & 954 & 27 & -20 & 241 & -43 & 57 & 24 & 6137 & 190 & -54 & -4 & 215 & 28306 & 155 & -1317 & 800 & -1111 & 196 & 174 & 486 & 723 & 374 & 286 & 348 & 273 & 636 & -46 & -266 & 1119 & 32 & 2696 & -5 & 401 & 588 & 592 & -177 & 163 & 140 & 248 & -124 & 827 & 54 & 115 & 393 & 89 & -130 & 109 & 147 & 245 & 884 & 163 & 680 & 326 & -1335 & 549 & 183 & 941 & 191 & -363 & 122 & 111 & 147 & 281 & 46 & 405 & -250 & 393 & 711 & -307 & 5 & -483 & 310 & 14 & 297 & 180 & 62 & 144 & 616 & -55 & 291 & 149 & -1010 & -121 & 54 & 629 & 213 & 373 & 136 & -336 & -35 & 109 & 60 & 487 & 860 & 633 & 118 & 36 & -26 & 748 & 250 & 289 & 106 & 33 & -89 & 127 & 105 & -102 & 831 & 607 & 46 & 469 & 1289 & 1057 & -421 & 99 & 797 & -131 & 196 & 96 & 87 & 765 & 600 & 360 & 714 & 23 & 98 & 202 & 3771 & -120 & -16 & -188 & -121 & -395 & 338 & 579 & 352 & 455 & 13 & 55 & 472 & 32 & 363 & 161 & 149 & 39 & 115 & 163 & 490 & -445 & 39 & 4 & 96 & 174 & 221 & 686 & 528 & -109 & 1182 & -20 & 204 & 207 & 272 & 117 & 115 & 0 & 139 & 313 & 319 & 408 & -2340 & 333 & -146 & -38 & 144 & 2106 & 48 & 1554 & 156 & 98 & 92 & 344 & 603 & -203 & 1136 & 101 & 568 & 76 & 187 & 390 & 133 & 8037 & 136 & 62 & 101 & 674 & 1068 & -330 & 273 & 827 & -301 & -42 & 402 & 1803 & 142 & 84 & -209 & -65 & 792 & -772 & 45 & 137 & 108 & 711 & -144 & 633 & 286 & 98 & 459 & 1663 & 133 & 40 & -26 & 427 & 794 & 96 & 1171 & -8 & 778 & 80 & 8 & -38 & 595 & 288 & 2250 & -57 & 248 & 77 & 139 & 1011 & 569 & -7 & -240 & 4028 & 1560 & 449 & -244 & 705 & -266 & 1585 & 711 & 2155 & 181 & 576 & -29 & -223 & -76 & 19456 & 426 & 304 & 1828 & 963 & 1247 & 313 & 601 & 125 & 815 & -805 & -2133 & 1049 & -528 & -917 & 10 & -434 & -405 & -237 & -447 & 474 & 257 & 2036 & 982 & 272 & -137 & -103 & 650 & 245 & -414 & 358 & -142 & 17 & 414 & 79 & 531 & 423 & -689 & -4 & 1143 & -58 & 109 & 1668 & 71 & 184 & 163 & -332 & 204 & -437 & -42 & 837 & -190 & -203 & -144 & -80 & -570 & 367 & -244 & 374 & -143 & -1406 & -161 & 2521 & 241 & 278 & 469 & 1390 & 21816 & 259 & 79 & 166 & 522 & -320 & 134 & -1447 & 5853 & -61 & -267 & -108 & -21 & -79 & 305 & 922 & -213 & 26201 & -109 & 241 & 127 & 377 & 424 & 156 & 278 & 180 & -415 & 16269 & -168 & -263 & 326 & -84 & 1373 & 18443 & 21 & -717 & 184 & 98 & 95 & 131 & 734 & -797 & 1822 & 36 & -122 & 79 & 36 & 3017 & 112 & 655 & 325 & 19238 & 2622 & -532 & 732 & 603 & 213 & 611 & 125 & -421 & 204 & 263 & -231 & 11624 & -169 & -379 & 114 & -55 & 67 & -46 & 279 & -535 & -654 & -1089 & 221 & 102 & 76 & -421 & 13 & 49 & -550 & 755 & 964 & 64 & -1434 & 431 & 1664 & -206 & -140 & 207 & 276 & 524 & 402 & 371 & 223 & 1147 & 266 & -142 & -159 & -538 & 87 & 2 & 363 & -330 & 122 & -114 & -130 & 62 & -21 & 23 & -314 & -144 & 670 & 57 & 424 & -446 & -546 & 18352 & -16 & 1753 & 106 & 622 & 58 & -543 & -305 & -39 & 281 & -90 & -158 & 569 & 5760 & 184 & 433 & -109 & 525 & 2275 & 319 & 216 & -221 & -64 & -125 & 673 & 13 & -229 & -2898 & 14278 & 351 & 159 & -139 & 3785 & 1 & 125 & -83 & 13948 & -563 & 772 & 58 & 639 & -98 & -241 & -1655 & 371 & 300 & 320 & -26 & 524 & 244 & 2239 & 569 & 147 & 121 & 231 & -743 & -247 & 487 & 953 & 259 & -39 & 24 & -27 & -1297 & 4 & 404 & 1285 & 1005 & 714 & 187 & 284 & -213 & 426 & 153 & 3045 & 297 & 547 & 223 & 6532 & -203 & 111 & 1338 & 872 & -531 & 30 & 2 & 6167 & -102 & 1614 & 412 & 3545 & 142 & -19 & 68 & 3544 & -434 & 445 & 175 & 469 & 231 & 344 & 115 & -83 & 143 & -21 & 70 & 165 & 319 & -237 & 60 & -24 & 14 & 535 & 3226 & 1547 & 207 & 38 & 1856 & 183 & 427 & 90 & 1261 & 181 & 231 & 1102 & 128 & 60 & -96 & -345 & 1311 & 374 & 1835 & 323 & -61 & 197 & -20 & 6453 & 650 & -19 & 366 & -723 & -150 & 23 & -348 & 89 & -17 & 51 & 64 & 994 & 1278 & 149 & 475 & -114 & 13 & -180 & -364 & 680 & 181 & 361 & 127 & 455 & 106 & -58 & -98 & 106 & 115 & -103 & 187 & -13 & -4 & 1415 & 616 & 108 & 294 & 185 & 639 & 61 & 169 & 540 & 95 & 812 & 187 & 292 & -39 & 462 & 264 & 127 & -156 & -209 & -21 & -33 & 305 & 676 & 42 & -133 & 187 & 103 & -46 & 83 & -60 & -155 & 497 & 718 & -480 & 603 & 35 & 308 & 273 & -644 & 401 & -368 & 308 & -572 & 124 & -367 & 629 & -133 & 335 & -23 & -573 & 298 & 1064 & -206 & -953 & 159 & -563 & 28622 & 11659 & 102 & -288 & -977 & 360 & -229 & -35 & 311 & 61 & -912 & 8 & 585 & 232 & -190 & -14 & 320 & 2295 & -33 & 497 & 291 & -20 & 8 & 165 & 200 & -181 & 585 & 128 & -42 & 106 & 86 & 961 & 194 & -23 & 49 & 486 & 2094 & 446 & -7 & -106 & -139 & -112 & 86 & 77 & 2336 & 206 & 282 & -2 & 191 & -73 & -250 & -339 & 367 & 5 & -263 & 717 & 121 & 576 & -55 & -140 & 705 & -825 & -29 & -335 & 1926 & 163 & 566 & 12307 & 46 & 248 & 13 & 161 & 2103 & 35 & 825 & 114 & 442 & 89 & -13 & 229 & -188 & 547 & -857 & -20 & 216 & -45 & 52 & -57 & 683 & -161 & 531 & -7 & -1136 & 610 & 383 & 232 & 390 & 2933 & 406 & 464 & 180 & -221 & 614 & 101 & -46 & -693 & 98 & 670 & 45 & 204 & 2932 & 109 & 818 & 42 & -3042 & 177 & -445 & 191 & 73 & -1191 & -52 & 701 & 200 & 70 & 382 & 1320 & 679 & 74 & 483 & 172 & 1320 & -68 & 298 & 163 & -120 & 1534 & 390 & 2642 & 202 & -35 & 818 & 55 & 140 & 488 & -190 & 202 & 222 & 1468 & 17493 & 42 & 1215 & 2052 & -79 & 71 & 1033 & 42 & 108 & 411 & 890 & 1466 & 1276 & 51 & 11 & -11 & 43 & 794 & 131 & 323 & 311 & 24 & -86 & 61 & 461 & 292 & -171 & 1409 & 38 & 550 & 682 & -366 & -433 & 1600 & -70 & -920 & -199 & 958 & 169 & -282 & -46 & -68 & -193 & 221 & -1074 & -112 & 57 & 256 & -856 & 291 & 412 & 4785 & 247 & 828 & 96 & 866 & 67 & 30 & 105 & 286 & 414 & -248 & 58 & 3402 & 257 & -857 & 102 & 35 & -168 & 32 & -35 & 92 & 165 & -84 & 163 & 254 & 603 & 1171 & 626 & -199 & -336 & 207 & 73 & 732 & -1323 & 793 & 732 & -161 & 185 & -453 & -29 & -488 & 513 & 874 & 5 & 150 & -99 & -29 & 76 & -48 & -39 & 269 & 238 & 638 & -234 & -553 & -127 & -724 & 49 & 221 & 834 & 241 & 326 & 209 & 184 & -32 & -17 & 70 & 199 & 125 & 146 & -20 & 478 & -152 & 207 & -671 & 298 & 143 & 55 & 295 & 540 & -40 & 118 & 243 & 171 & 51 & -95 & -601 & 1581 & -51 & 86 & 314 & -43 & 366 & -764 & 565 & 180 & 93 & -79 & 434 & -197 & 1242 & 134 & 833 & 386 & 5 & 57 & -349 & 1073 & -16 & 437 & 19 & 235 & -450 & 445 & 446 & -1 & 289 & 68 & 52 & 547 & 500 & 512 & 973 & -74 & 251 & 285 & 1447 & 177 & 332 & 16904 & 1043 & 35 & -163 & -11 & 215 & -127 & 87 & -106 & -71 & 10 & 2790 & 535 & 58 & 465 & -90 & -77 & -128 & -26 & 121 & 278 & -23 & 749 & 382 & 61 & 229 & 582 & 57 & -357 & 389 & 295 & -134 & 16 & 117 & 513 & 183 & 81 & 147 & -89 & -93 & 254 & 114 & 383 & 626 & 133 & -592 & -117 & -355 & 174 & 80 & 115 & -207 & 654 & -748 & 305 & 250 & 10 & 17 & -366 & 166 & 58 & 58 & 257 & -654 & 589 & 269 & -58 & 518 & -89 & 579 & 396 & 245 & 588 & -58 & 171 & 589 & -270 & -42 & 193 & 86 & 180 & -130 & 502 & 64 & 396 & -17 & 194 & 16 & 600 & 35 & 281 & 418 & 393 & 585 & 363 & 33 & -80 & 13 & -144 & 155 & -130 & -2 & -64 & -73 & 900 & -155 & -253 & -923 & -1430 & 165 & -1147 & 5 & 76 & 108 & 446 & -262 & 152 & -137 & -455 & 43 & 346 & -17 & -74 & 1250 & 3412 & 368 & -172 & 9013 & -7 & 2 & 33 & -755 & 64 & 443 & -322 & 4614 & 508 & -57 & -338 & -633 & 414 & -467 & -581 & 5381 & 1316 & 222 & 27 & 229 & 705 & 120 & 1430 & 256 & 143 & -581 & 1462 & 46 & -81 & 15423 & -77 & -371 & 445 & 232 & -43 & 20 & 218 & 115 & -183 & 240 & 142 & 471 & -792 & 251 & -30 & -163 & -74 & 46 & 33 & 103 & 1847 & 393 & -19 & 525 & 1166 & 462 & 24 & -92 & -1064 & 1049 & -262 & 152 & 155 & 17 & 183 & -426 & 216 & 797 & 3706 & 367 & -30 & 310 & -200 & -1323 & 142 & -68 & 42 & 39 & 178 & -117 & 352 & 89 & 376 & -105 & 166 & 10723 & 464 & 25880 & 23159 & 18982 & -20 & -112 & 4 & -180 & -449 & 424 & 1128 & 7440 & 43 & -71 & 2538 & -49 & 235 & 46 & 139 & -80 & 846 & 767 & -86 & 32 & 137 & -17 & 2127 & 136 & 51 & 250 & -333 & -954 & 229 & -307 & -251 & -282 & 55 & 81 & 1878 & 103 & 1453 & -319 & -629 & 363 & 70 & 137 & 815 & -2034 & 245 & -23 & 262 & -168 & -174 & -203 & 2649 & 250 & -46 & 1077 & 458 & -153 & 445 & 718 & 191 & 569 & 1436 & 30 & 746 & 156 & 238 & 285 & 244 & 1111 & -105 & 225 & -529 & 7016 & -156 & 17509 & 322 & 180 & 87 & -723 & -125 & 2001 & 20 & 385 & 21 & -385 & -5 & 7 & 257 & 314 & 267 & -42 & 13 & 73 & 111 & 120 & 11 & 14 & 24 & 105 & 48 & 563 & -70 & -102 & 273 & 439 & 5197 & -54 & 521 & 165 & -1636 & -204 & 40 & 57 & 351 & -136 & 68 & 166 & -1229 & -332 & 87 & -225 & 93 & -1 & 43 & 279 & -153 & 30 & -267 & 122 & 150 & 1118 & -89 & 442 & 418 & 60 & 54 & 655 & 5 & 23 & -65 & -114 & 565 & 502 & 443 & 57 & 125 & 70 & -162 & 191 & 127 & 109 & 35 & 292 & 2377 & 957 & 1916 & -827 & 259 & 488 & -40 & 1 & 2364 & 800 & 15831 & 1586 & -910 & 7208 & 443 & 177 & 70 & -39 & -789 & 155 & -434 & 414 & 374 & 226 & 366 & 642 & 1319 & -70 & -26 & 6858 & 36 & -285 & 183 & 95 & 1578 & 837 & -114 & 49 & 161 & 718 & 294 & 39 & 2881 & 1220 & -853 & 215 & -508 & 73 & -163 & 556 & 1023 & 411 & 3479 & 213 & 105 & 54 & 607 & 660 & 196 & 389 & 73 & -251 & -169 & 81 & -45 & 177 & 127 & 288 & 339 & 185 & 344 & 295 & 48 & 509 & -673 & 3336 & 521 & 11 & 99 & 1365 & 30 & 297 & 831 & 250 & 46 & 366 & -114 & -117 & 620 & 737 & 891 & 70 & 117 & 61 & 55 & 67 & 361 & 336 & 633 & -109 & 503 & 130 & -120 & 76 & 430 & 86 & 806 & -168 & 149 & 2826 & 42 & 392 & 753 & 137 & 241 & 101 & -183 & 80 & 163 & 5 & -449 & 177 & 361 & 282 & 42 & -272 & 13 & -29 & 1805 & 1497 & -620 & 696 & 142 & 204 & 240 & -374 & 723 & 19 & 367 & -286 & 21 & 1955 & 98 & -251 & 487 & 128 & -120 & -582 & 20 & -143 & -193 & -345 & -458 & 764 & 125 & 122 & 664 & -7 & 60 & -1704 & -285 & 156 & -131 & -95 & 231 & -144 & 152 & -313 & 115 & -336 & -32 & 14 & 417 & 20081 & 3611 & 677 & -42 & 105 & 136 & 115 & 7 & 112 & 74 & -30 & 260 & 90 & -109 & 13 & 29 & 140 & -547 & 708 & 686 & -693 & -57 & 1455 & -342 & -228 & 24 & -96 & 765 & 1008 & -118 & 576 & 374 & 175 & -140 & -190 & 276 & 55 & 568 & 64 & -977 & 415 & -23 & 203 & 54 & -156 & 19 & -142 & -540 & 426 & -614 & 92 & -60 & 477 & -408 & 856 & 354 & 52 & 11 & 95 & -68 & 563 & 360 & 121 & 93 & 849 & -120 & 12985 & -1016 & 349 & 367 & -155 & 609 & 46 & 377 & 112 & 250 & 223 & -917 & 103 & 537 & 0 & 238 & -721 & -237 & 142 & 143 & 633 & -8 & 478 & 150 & 127 & 307 & 1654 & 2210 & 5916 & 46 & -43 & 102 & 14 & -285 & -74 & 36 & 355 & 521 & 308 & 174 & 1879 & -122 & 74 & 61 & -96 & 65 & 172 & 58 & -297 & 67 & -98 & 1888 & 373 & 163 & -294 & 106 & 1856 & 196 & 600 & 27 & 74 & 494 & -106 & -140 & 630 & 248 & -404 & 183 & -516 & 125 & 14 & 172 & -11 & 23 & 150 & 14654 & -159 & 48 & 424 & -137 & 471 & 103 & 398 & 45 & 295 & 171 & 101 & -2641 & 171 & 2654 & 335 & -824 & 225 & 2103 & 373 & 92 & -90 & 639 & 117 & -2 & 18686 & -718 & 177 & -122 & 1671 & 200 & 806 & 7 & 27 & 635 & 139 & 36 & 38 & 1074 & 572 & 99 & 660 & 54 & -241 & 243 & -307 & -366 & 20 & 373 & -38 & -2 & 36 & 1556 & 96 & -524 & 81 & 18701 & 477 & -130 & 316 & -93 & 780 & -87 & 98 & 554 & 172 & 2639 & -180 & -232 & -96 & 464 & 1707 & 117 & 396 & 664 & -171 & 93 & -272 & -21 & 43 & -702 & 87 & 196 & 491 & -96 & 259 & 368 & -52 & 1216 & -156 & 1389 & 150 & 1654 & 11 & 96 & 471 & 1950 & 108 & 314 & -4 & -695 & -270 & 925 & -778 & 314 & -46 & -14 & -62 & 153 & -219 & 550 & 223 & 617 & 1 & 382 & -5 & 172 & -24 & 194 & -27 & 522 & 357 & 33 & 247 & 45 & 159 & 970 & 221 & 90 & 1181 & 156 & 24 & 669 & 581 & 197 & 232 & 108 & 267 & 106 & 626 & 1364 & 197 & -38 & -17 & -118 & 512 & 114 & 370 & -746 & 849 & 1767 & 48 & 734 & -23 & -80 & 222 & 344 & 510 & 528 & 1288 & 1774 & 688 & 120 & 130 & 423 & -2 & -275 & 197 & 827 & -243 & 442 & 150 & 420 & -143 & 1027 & 301 & -2 & 30 & 1140 & 1067 & 124 & -127 & -319 & -95 & 576 & 456 & 732 & -1029 & 486 & -1007 & 304 & -184 & 607 & 811 & 108 & 54 & -114 & -219 & 1089 & 54 & -106 & -48 & 16 & 427 & 447 & 218 & -223 & 373 & 4712 & 131 & -2721 & 19 & 49 & 40 & 30 & 81 & -127 & -40 & 311 & 582 & 569 & -26 & -76 & 33 & 103 & 216 & 89 & -10 & 1256 & 295 & 139 & -84 & 19 & -323 & 33 & 237 & -128 & 307 & -16 & 310 & 335 & 477 & -36 & 213 & 27 & 235 & 1540 & 32 & 3560 & 317 & 327 & 288 & -219 & 161 & 234 & 440 & -587 & 30 & 60 & 1402 & 54 & -43 & 96 & -125 & 159 & 630 & 40 & 9674 & 77 & 40 & 45 & -147 & 490 & -90 & 174 & 491 & 516 & 430 & 257 & 295 & -49 & -51 & 86 & 114 & -109 & 169 & -8 & 13597 & 152 & -33 & -390 & 175 & -319 & 209 & 38 & 589 & -204 & -423 & -26 & 165 & 134 & 2 & 149 & -84 & 131 & -109 & -33 & 143 & -477 & 13 & 1626 & -118 & 1487 & -1 & 96 & -934 & -149 & 89 & 165 & -411 & 332 & -17 & -595 & 431 & -212 & 178 & -36 & -478 & 139 & -80 & 183 & 57 & 150 & 338 & 445 & -114 & -291 & -316 & 767 & -317 & -77 & 727 & 834 & -417 & -342 & 691 & 341 & -24 & 73 & 901 & 478 & 128 & 724 & -74 & 98 & -401 & 235 & 58 & 112 & -344 & 529 & -11 & 298 & 3292 & 333 & 1005 & -557 & 661 & 276 & 55 & -71 & -200 & 718 & 180 & 121 & 392 & -140 & 486 & 276 & -936 & 1141 & 250 & 240 & 654 & 666 & 48 & -17 & 317 & -95 & 172 & 339 & -603 & -61 & 203 & -254 & 131 & 45 & 180 & 46 & 13 & -379 & 222 & 103 & -4 & 58 & 516 & -121 & 898 & 1813 & 578 & -231 & 392 & -133 & 481 & 190 & 39 & 64 & 291 & -19 & 273 & -4 & 330 & -33 & 742 & 229 & 430 & -80 & 467 & 380 & -1 & 106 & -1197 & 689 & 426 & 122 & 218 & 355 & 118 & 49 & 931 & 200 & 1043 & 35 & 710 & -111 & -52 & 2037 & -42 & 382 & 155 & 124 & 168 & 115 & -389 & 559 & 32 & 67 & -1469 & -423 & 149 & 184 & -509 & 131 & 1698 & 595 & -368 & -108 & 172 & 377 & 412 & 122 & -30 & 524 & 459 & 338 & -43 & 282 & 317 & -1017 & 453 & -213 & 465 & 1 & 708 & -54 & 174 & 2074 & 1446 & 734 & 781 & -55 & 13 & -951 & 14700 & 263 & 2067 & -730 & -367 & 609 & 175 & 81 & 86 & 54 & 667 & -128 & 392 & 619 & -468 & 232 & 1137 & 424 & 68 & 216 & -276 & 300 & 222 & 923 & 163 & 510 & -193 & 57 & 361 & 1787 & 12138 & 10785 & 411 & -2 & 24 & 177 & 30 & 58 & 380 & 24 & -48 & 14 & 131 & 32 & 106 & 155 & -184 & 781 & -67 & 273 & -109 & 389 & 215 & -54 & 74 & 36 & 146 & 636 & 112 & 323 & 29 & 938 & 42 & 77 & 90 & 106 & 215 & 1219 & 105 & 453 & 12840 & 21867 & 17910 & 7975 & 13117 & 23397 & 4829 & 512 & 2340 & 8 & -1240 & 871 & 83 & 118 & 1218 & -144 & -52 & -1118 & -346 & 67 & 206 & -188 & 114 & 632 & -11 & -62 & -202 & 576 & 137 & -2 & -70 & 272 & 313 & 284 & 24 & 226 & 36 & -161 & -26 & -7 & 23 & -84 & 163 & 80 & -142 & 317 & 108 & -288 & 541 & 62 & -228 & 200 & 966 & -424 & 120 & -42 & 623 & 35 & 402 & -480 & -30 & 406 & -153 & 70 & 16 & 428 & 430 & 480 & 183 & 130 & 604 & 68 & -40 & 40 & 169 & -229 & 657 & 17 & -103 & 74 & 275 & -35 & 573 & 237 & 55 & -238 & -5 & -210 & 471 & -10 & 155 & 406 & 456 & 234 & -424 & -7 & 1017 & 647 & 389 & -70 & -67 & 417 & -5 & 360 & 458 & -2 & 177 & 108 & -8 & 699 & 92 & -385 & 805 & 213 & -7 & 23 & 33 & 288 & 317 & 756 & 117 & 81 & 1240 & 54 & 79 & 180 & -134 & -32 & 478 & 352 & 221 & 40 & 276 & -108 & 424 & 48 & 755 & 2371 & 1270 & 737 & -251 & 131 & 118 & -79 & -11 & 234 & 166 & -200 & 80 & -904 & 284 & 114 & 449 & 133 & 188 & 292 & 4772 & 178 & -209 & 218 & -139 & -120 & 81 & 27 & 79 & 98 & -447 & 327 & 386 & 16 & -199 & -285 & 159 & 102 & -38 & 17 & 325 & 146 & 389 & -680 & 169 & 1117 & 83 & -105 & 314 & 81 & -206 & -496 & 143 & -36 & -73 & 888 & -54 & 651 & 300 & -1086 & 500 & 1105 & 92 & 619 & -215 & 568 & -74 & 282 & 127 & 6065 & 382 & 358 & 124 & 510 & -52 & 177 & -325 & -21 & 83 & -199 & -125 & 737 & 89 & 1286 & 84 & 256 & 828 & 303 & 95 & 80 & 282 & -245 & -52 & 86 & 623 & -168 & 351 & 439 & 408 & 439 & 240 & 30 & 433 & -509 & -40 & 453 & 398 & 1199 & 572 & 152 & 127 & 118 & 102 & -48 & 77 & 513 & -431 & 231 & -551 & 204 & 591 & 212 & 71 & 759 & -143 & -853 & 178 & -346 & 554 & 117 & 319 & 180 & -685 & -714 & 45 & 487 & 746 & -461 & -442 & 456 & 39 & 105 & 142 & 651 & 106 & 38 & 998 & -199 & 127 & 71 & 58 & 200 & -90 & 67 & 515 & 21 & 383 & -1639 & -364 & -440 & -57 & -206 & -80 & 269 & 289 & 103 & 755 & -222 & -452 & -127 & -42 & -366 & 852 & 199 & 317 & 213 & 890 & 360 & 768 & 367 & -11 & 1206 & -136 & 98 & 494 & -40 & 172 & 106 & 190 & 55 & 87 & 254 & -73 & 143 & -150 & 1049 & 1452 & 370 & 426 & 475 & -118 & 411 & 174 & -80 & 594 & 292 & -1098 & -32 & 196 & 1488 & 7 & -103 & 40 & 19 & 674 & 588 & 415 & -1 & -361 & 426 & -499 & -235 & 228 & 62 & 532 & 54 & 24 & 105 & 565 & 404 & 250 & 40 & 99 & -1122 & -405 & 1515 & 54 & 654 & 291 & 64 & -2 & 223 & 518 & 190 & 1786 & 105 & 33 & 743 & 481 & 361 & 1260 & 171 & -140 & 36 & -1138 & 202 & -2 & 124 & 121 & -49 & 270 & 0 & -292 & -87 & 43 & -881 & 745 & 469 & 610 & 377 & -534 & 1360 & 111 & 61 & 284 & 423 & 43 & -32 & 203 & -241 & -231 & 177 & 1437 & 421 & -263 & 4 & -5 & 120 & 295 & 73 & 705 & -319 & 300 & 658 & -125 & 76 & 139 & -76 & 114 & 589 & 341 & 4602 & 234 & 765 & 825 & 57 & 80 & 955 & 1364 & 1152 & 279 & 895 & -45 & 231 & -2 & 2266 & 61 & 92 & -202 & 70 & 847 & 1813 & 225 & -112 & 1054 & 582 & 99 & -49 & 386 & 83 & -237 & 184 & 130 & 286 & 152 & 509 & 39 & -84 & 562 & 327 & 1076 & -954 & 105 & 33 & 1100 & -562 & -61 & -89 & 830 & 850 & 250 & 431 & 891 & 404 & -639 & 131 & 40 & 115 & -73 & 1409 & -162 & 17 & 423 & 1160 & 743 & -62 & -29 & 383 & 202 & 301 & -559 & 161 & 364 & -27 & 652 & 115 & 162 & 992 & 421 & 221 & 203 & 14339 & -241 & 1500 & 146 & 210 & 286 & 1016 & -229 & 137 & -2 & -121 & 2326 & 39 & 23 & 1155 & 193 & -84 & 812 & 794 & 210 & 506 & -4 & 177 & 143 & 3068 & -253 & 120 & 740 & 65 & 229 & 3004 & 412 & 491 & 753 & 692 & 439 & 816 & 1190 & 89 & -298 & 8 & 360 & 51 & 821 & 269 & 190 & 332 & 3326 & -1138 & -1261 & 1475 & 907 & -162 & 8 & 152 & 8 & 527 & 762 & 300 & 938 & 300 & 828 & -147 & -81 & 0 & 774 & -982 & -20 & -185 & -70 & -178 & 948 & -566 & 329 & -106 & -10 & 450 & 29 & 122 & -229 & 368 & 51 & 108 & 1810 & 62 & 226 & 247 & 17 & -120 & 281 & 124 & 11 & 128 & 30 & -235 & -38 & 323 & 1029 & 232 & 1759 & 317 & 117 & 247 & -106 & -1603 & 29 & 149 & 64 & 185 & -247 & 557 & -344 & 1941 & -200 & 263 & -1 & 267 & 178 & 854 & 212 & 51 & 442 & 16 & 109 & -4 & -84 & 682 & 219 & 374 & -8 & 45 & 197 & 491 & 39 & 566 & 51 & 172 & 985 & 8063 & 499 & 925 & -175 & 87 & -264 & -98 & 70 & 607 & 225 & 2147 & -11 & 1485 & 566 & -67 & 547 & 68 & 275 & -26 & 70 & 174 & 90 & 632 & 4055 & 402 & -36 & 90 & 259 & 519 & -774 & -29 & 361 & -13 & 730 & -169 & 125 & -472 & 531 & -578 & -24 & 155 & 966 & 23 & 478 & -247 & 140 & 183 & 144 & 437 & 4 & 48 & -257 & 859 & -11 & -42 & 144 & 1560 & 58 & -505 & 26 & 279 & -95 & 45 & 405 & -1674 & 1772 & -223 & -884 & 207 & 2355 & 248 & 68 & -26 & 174 & 51 & -469 & 395 & -7 & -45 & -17 & 521 & -153 & 674 & 163 & -87 & 481 & 395 & 1399 & 336 & -101 & 496 & -35 & 162 & -718 & 11 & -202 & 4 & -4 & 150 & -225 & 1358 & 303 & 67 & -125 & 7 & -248 & 1194 & -153 & 629 & 259 & 3083 & -103 & 96 & 401 & 440 & 557 & -36 & 120 & 83 & -146 & -387 & 121 & 370 & -80 & 210 & 45 & 556 & 26 & 335 & -163 & -203 & 541 & 1781 & 996 & 800 & -1232 & 133 & 86 & 228 & 178 & 882 & 2 & 639 & -178 & 304 & 661 & -40 & 67 & 554 & -231 & 20 & -576 & 133 & 326 & -57 & 595 & -262 & -108 & -40 & 556 & 115 & 0 & 872 & 8 & 23 & 614 & 52 & 95 & -29 & 1058 & -298 & -51 & -7 & 52 & 281 & 204 & 1305 & 440 & -196 & 238 & 55 & 1279 & 257 & 859 & -658 & 518 & 803 & 92 & -1529 & 1061 & -111 & 818 & 61 & 1338 & 24 & -222 & 130 & 510 & -524 & -60 & 115 & -418 & 51 & 150 & -33 & 450 & 1510 & 341 & 749 & -124 & 257 & 2229 & 2175 & 80 & 573 & 1630 & 38 & -196 & -166 & 134 & -297 & -124 & 71 & -99 & 124 & 5 & 368 & 4 & 125 & -108 & 2131 & -203 & -717 & 149 & 168 & 118 & 163 & -332 & 1414 & 326 & -7 & -191 & 80 & -40 & 98 & 162 & 204 & 1111 & 860 & 86 & 187 & 210 & -102 & 218 & 178 & 289 & 196 & -424 & 121 & 516 & 90 & -273 & 1581 & 89 & 207 & 213 & 693 & -98 & 486 & -263 & 761 & -67 & 5 & -292 & 197 & 9890 & 488 & 449 & 77 & -247 & -263 & -21 & 2200 & 114 & 417 & -1625 & 644 & 739 & 364 & 1392 & 112 & 177 & 370 & 200 & -420 & 23 & 144 & 46 & -26 & -8 & 43 & -32 & 136 & 316 & -48 & 821 & -175 & -279 & 105 & 158 & 751 & 834 & 636 & 0 & 247 & 901 & 61 & 76 & -121 & 112 & 710 & 813 & 512 & 11 & 390 & 92 & 406 & -269 & 210 & 204 & -35 & -1 & 46 & -45 & 907 & 105 & 114 & 291 & -61 & -52 & -40 & 124 & 269 & 996 & -36 & -106 & 131 & 499 & 724 & -338 & -62 & 109 & 155 & 294 & -377 & 691 & 421 & -207 & -472 & -10 & 83 & -178 & -279 & 360 & 237 & -127 & 363 & -161 & 137 & 1207 & 450 & 232 & 60 & 181 & 333 & 216 & 919 & 124 & 562 & 206 & 58 & 319 & 45 & 197 & 1453 & -58 & 39 & -566 & -73 & -1491 & -292 & 130 & 345 & -43 & 440 & 68 & 225 & -137 & -2 & 163 & -13 & 2261 & -528 & 118 & -894 & 125 & 103 & -57 & -264 & 456 & -46 & -188 & -60 & -79 & 647 & 301 & -557 & 339 & 383 & -36 & 112 & 178 & 464 & 178 & -42 & 611 & 279 & 272 & 568 & 471 & 218 & -40 & -1017 & 975 & 888 & 292 & 108 & 279 & -292 & 52 & 469 & 442 & -20 & 389 & 551 & 270 & 854 & 165 & 90 & 163 & -98 & -430 & 503 & 1 & 1166 & -278 & 300 & 805 & 879 & 329 & 218 & -557 & 278 & 156 & 322 & -459 & -1295 & 323 & -21 & 35 & 92 & -147 & 46 & 475 & 1115 & -569 & 1111 & -10 & -48 & 837 & 449 & 674 & 61 & 210 & 305 & 3030 & -65 & 180 & 79 & 345 & -431 & 442 & 130 & 330 & 133 & -386 & 23 & 2622 & 223 & 109 & 146 & 43 & 383 & -57 & -92 & 109 & 90 & 275 & 325 & 824 & 137 & 333 & 366 & 159 & -48 & -125 & 361 & -171 & 38 & 4364 & 734 & -153 & 162 & 247 & -99 & 155 & -658 & 1144 & 1405 & 1421 & -51 & 560 & 1175 & 392 & -521 & 2421 & 263 & -77 & 187 & 55 & -944 & 162 & 442 & 247 & -1 & -109 & -1 & 127 & 169 & 297 & -61 & 4 & 566 & 14 & 267 & 14 & 929 & 5 & 1440 & -664 & 387 & -131 & 54 & -8 & 298 & 25969 & 14 & 76 & -8 & -611 & 354 & 178 & 206 & 591 & 358 & 172 & 3800 & -36 & 1313 & 165 & 51 & -478 & 424 & 149 & 620 & -2 & 120 & -155 & 840 & 607 & 8939 & -339 & 25681 & 26 & 518 & -65 & -95 & 144 & 386 & 226 & 784 & 1723 & -367 & -248 & 33 & 57 & 203 & 83 & 163 & 446 & 67 & -142 & 223 & 0 & -54 & 38 & -93 & -512 & -689 & 86 & 155 & 13 & 14 & 966 & -1324 & 398 & 40 & 313 & -7 & -133 & 939 & -81 & -456 & 285 & -5 & 327 & -49 & -11 & 1 & 147 & 20250 & 17 & 61 & 81 & 257 & 367 & 2241 & 10 & 93 & -19 & -30 & 17 & 263 & -106 & -768 & 124 & 247 & 99 & 64 & 228 & 275 & 2059 & 89 & 147 & 2540 & 257 & 67 & 143 & 792 & -1059 & -52 & 17 & 496 & 925 & 10 & 585 & 976 & 159 & -292 & -1210 & 1295 & 320 & 1484 & -64 & 2626 & -79 & -231 & 87 & 472 & 380 & 550 & 323 & -228 & -24 & -357 & 1360 & 967 & -38 & 185 & -93 & 184 & 282 & -8 & -266 & 35 & -30 & 2970 & 592 & -102 & 86 & 101 & 4535 & 134 & 181 & -45 & 992 & 159 & -865 & -193 & 2349 & 197 & 2187 & 284 & 19260 & 11 & 275 & 27912 & 1654 & -81 & 931 & 84 & 152 & 868 & 3569 & 32 & 1223 & 443 & 445 & -96 & -799 & 234 & -49 & 385 & 102 & 1269 & -43 & 58 & 26504 & -153 & -1 & 2548 & 161 & 87 & 522 & 30 & 223 & -272 & 191 & 11000 & 2771 & -117 & -26 & -54 & 33 & 58 & -118 & 402 & -544 & -139 & 52 & -7 & -904 & 17 & 61 & -204 & -152 & 61 & -348 & 81 & 310 & 1138 & -241 & 449 & 509 & 120 & 118 & 234 & 903 & 1081 & 86 & 8877 & 938 & 573 & -57 & 7137 & 392 & 1037 & 765 & 1336 & -500 & -161 & 10133 & 301 & 392 & -939 & -62 & -20 & -269 & -481 & 808 & 131 & -114 & 345 & -184 & 387 & 565 & 159 & -46 & 11 & 549 & 169 & 222 & 651 & 5 & -235 & 21 & 617 & -332 & 14345 & 1216 & 174 & -188 & 644 & 45 & 18304 & 496 & 989 & -49 & 5 & 1524 & 2441 & 89 & 180 & 140 & 20 & 260 & 26 & 21940 & 9950 & 45 & -163 & -30 & 241 & 1010 & 982 & 1307 & 319 & -133 & 7789 & -16 & -430 & -71 & 133 & 36 & 60 & 423 & 1073 & 1 & -525 & -71 & 11 & -443 & 415 & -396 & -64 & 204 & 2141 & 532 & 52 & -125 & -303 & 23 & 42 & 332 & 209 & 486 & -464 & 142 & 484 & 595 & 52 & 1408 & 3244 & 606 & 2124 & -90 & -150 & -13 & 834 & 6715 & 386 & -749 & 301 & 52 & 604 & -202 & -316 & 465 & 159 & 103 & 652 & 108 & -64 & 650 & 273 & 623 & 777 & 472 & 11 & 1071 & -122 & 1092 & 3968 & 322 & 737 & 671 & 16811 & 3746 & 76 & -4 & 140 & 183 & 300 & -269 & 168 & 546 & 169 & 225 & 25795 & 156 & 335 & 73 & 60 & 42 & 121 & 335 & 304 & 486 & -7 & -35 & 843 & -1 & 165 & 562 & 1374 & 300 & -121 & -20 & 11 & 11559 & 158 & 20 & 21 & -83 & 21 & -65 & 11 & 327 & -115 & 130 & -14 & 223 & 591 & 172 & -26 & 878 & 385 & 592 & -118 & -300 & -87 & -307 & 471 & 859 & 720 & 547 & 1585 & 371 & 726 & -112 & 32 & -65 & 67 & 52 & 478 & 70 & 308 & 55 & -118 & -146 & 19 & 17 & 23731 & -357 & -792 & -103 & 62 & 16 & 142 & 446 & -904 & 3255 & -60 & 114 & 17 & 288 & 767 & -404 & 960 & 243 & 128 & 165 & 743 & -20 & 234 & 314 & 101 & -825 & 3200 & 199 & 26391 & 10196 & 212 & 770 & 3159 & 469 & 1137 & 614 & -30 & 212 & 1875 & 386 & 357 & 541 & 263 & -40 & 638 & 373 & -68 & 515 & 535 & 80 & 917 & -61 & 45 & 576 & -191 & -17 & 2376 & 926 & 830 & -229 & 1942 & 264 & 349 & 51 & 327 & 320 & 276 & 303 & -401 & -206 & 462 & 122 & 835 & 12135 & -163 & 48 & 90 & -42 & 452 & 89 & 1345 & 490 & 661 & 103 & 257 & 159 & 396 & 68 & 663 & 197 & 509 & 1213 & 777 & 102 & -96 & 125 & 721 & 1152 & 642 & 13 & -4 & 532 & 83 & 46 & 1570 & 40 & 955 & -223 & 10 & 352 & 1606 & 83 & 102 & 209 & -93 & 199 & -68 & 127 & -291 & 456 & 89 & 212 & 393 & -5 & -13 & 131 & -52 & 560 & 860 & 1787 & 122 & 945 & 368 & 7 & 84 & 64 & 222 & -54 & -292 & 215 & 1692 & -105 & 29 & 65 & 209 & -64 & 655 & -115 & 5066 & 43 & -140 & 515 & 155 & -19 & 506 & 213 & -361 & -11 & -423 & -23 & 2229 & 7 & 17 & 86 & 16 & 2400 & -973 & 143 & 45 & 243 & 9893 & 221 & 406 & 190 & 19 & 420 & 1146 & -541 & -313 & -1 & 819 & -171 & 168 & 759 & 103 & 630 & 62 & 691 & 1805 & 1125 & 300 & -667 & 355 & 118 & 266 & 247 & 427 & 1390 & 20106 & 715 & 7195 & 222 & 399 & 146 & 240 & 619 & 131 & 286 & 61 & -464 & -115 & 65 & 159 & 1528 & 144 & 172 & 124 & -58 & -89 & 49 & 459 & -125 & 39 & 1497 & 363 & 459 & -111 & -11 & 1302 & 1361 & -187 & -62 & 142 & -90 & 240 & -87 & -127 & -2 & 1179 & -52 & -61 & 1010 & 184 & 169 & -101 & 792 & 67 & -206 & -1 & 165 & -225 & -174 & 305 & 286 & 49 & -17 & 163 & 30 & 505 & -42 & -207 & 311 & -76 & 155 & 607 & 30 & 99 & -553 & -166 & 387 & 333 & 178 & 70 & -111 & -251 & 673 & 751 & 194 & 7 & 166 & 58 & -14 & -20 & -40 & 639 & 688 & 418 & 128 & 1067 & 723 & -8 & 13 & 222 & 174 & 550 & 893 & -20 & -857 & 21 & 228 & 1109 & -26 & -532 & -144 & 241 & 156 & 38 & -48 & 213 & 1784 & 166 & 562 & 19 & -325 & 704 & 67 & 124 & 114 & 327 & 149 & 966 & 447 & -79 & -62 & 260 & 194 & 393 & 163 & 7 & 478 & -49 & 71 & 90 & 43 & -139 & 35 & 948 & -36 & 1317 & -294 & 623 & 39 & 295 & 705 & 98 & 89 & 297 & 843 & 281 & 363 & 178 & 430 & 20 & 379 & 587 & -96 & 398 & 68 & 185 & -213 & 4 & -771 & 62 & 124 & -221 & 67 & 256 & 165 & -200 & 264 & -303 & 131 & 276 & -155 & -228 & 759 & -366 & 70 & 54 & 96 & -1035 & -351 & -109 & -71 & -184 & 55 & 7926 & -93 & 584 & 10 & 57 & -2 & -11 & 105 & -333 & 184 & 565 & 598 & 120 & 515 & 247 & 1625 & 387 & 38 & -462 & 259 & 669 & 900 & 120 & 13 & -345 & 1158 & 800 & 635 & 364 & -162 & 859 & -14 & 133 & 204 & 373 & -73 & 48 & -871 & -33 & -311 & 314 & 831 & 784 & 202 & -65 & 395 & -11 & 575 & 748 & 124 & -13 & 79 & 250 & -30 & 491 & 216 & 550 & 1320 & -54 & 11 & 200 & -2332 & 389 & 408 & 240 & -178 & 464 & -223 & -300 & 38 & 693 & -122 & 1083 & 54 & 821 & -895 & 142 & 303 & 398 & 1240 & 443 & 156 & 409 & -270 & -557 & 120 & -13 & 101 & 1427 & 35 & -39 & 1005 & 1323 & -254 & -96 & 269 & 8741 & 1532 & -68 & 240 & -183 & -71 & 1305 & 58 & 153 & 48 & 68 & -8 & 48 & 23 & -74 & 531 & 228 & 136 & 10 & 210 & -49 & -96 & 163 & 715 & -759 & 238 & -111 & 414 & 5 & 1199 & 363 & 267 & 40 & 36 & 313 & 733 & -26 & 338 & 543 & 576 & 118 & 568 & 7 & 541 & 2160 & 204 & -87 & -346 & 636 & 122 & 46 & 153 & -117 & 447 & 20 & 29 & 1692 & 111 & 342 & -522 & 64 & 250 & 194 & -87 & -81 & 109 & 294 & 27 & -169 & -178 & -49 & 43 & 172 & 1005 & 273 & -134 & -20 & 61 & 23 & -184 & 5 & 131 & -105 & 81 & -8 & -478 & 1115 & 345 & -93 & 114 & 866 & 313 & 193 & -193 & 11 & 323 & -491 & 833 & 705 & -565 & 46 & -541 & -787 & 639 & -13 & -45 & 83 & 428 & 102 & 491 & -143 & 46 & 1117 & 76 & 147 & -121 & 95 & -62 & 67 & -96 & -45 & 272 & 20737 & 1283 & -263 & 330 & 191 & 169 & -146 & 657 & 175 & 191 & -494 & 633 & 111 & -481 & -155 & -165 & 800 & 1469 & -61 & -120 & -4 & -62 & 775 & -326 & 183 & 133 & 259 & 67 & 111 & 707 & 7592 & 430 & -102 & 513 & 58 & 140 & 174 & 260 & 6920 & 923 & 219 & 80 & -207 & -13 & 18102 & 632 & 49 & 6605 & 149 & 219 & -159 & 120 & 263 & 90 & 0 & 595 & 2286 & 115 & 90 & 354 & 330 & 408 & 440 & -16 & 2100 & -62 & -358 & 137 & 275 & -73 & 609 & 346 & 266 & -70 & 24 & -215 & 124 & 155 & -446 & 730 & 3387 & 136 & 786 & -469 & 92 & 76 & -106 & -272 & 61 & -80 & 177 & 33 & 775 & 853 & 112 & 301 & 461 & -2020 & 693 & -43 & -13 & -39 & -77 & -13 & 39 & 89 & -17 & 692 & 366 & 370 & 4337 & 1213 & 326 & 0 & -153 & 27 & 559 & -806 & 417 & -165 & -80 & 374 & 266 & -244 & 218 & 1184 & 297 & 691 & 349 & 297 & 35 & 95 & 273 & 320 & 320 & -58 & 188 & -183 & -445 & -32 & -10 & 27044 & -136 & 830 & 292 & -578 & 109 & -815 & 11 & 102 & 10 & -259 & 223 & -65 & 84 & -83 & -89 & -118 & -57 & 103 & -370 & -58 & 32 & -844 & 133 & 374 & -55 & -106 & 256 & -938 & 39 & 5289 & -46 & 180 & 140 & -122 & 556 & 165 & 423 & 13900 & 3419 & 301 & 234 & 45 & -426 & 790 & 881 & -840 & 392 & -48 & 973 & -124 & 240 & 24 & 824 & 90 & 472 & 175 & -8 & -556 & 311 & 98 & 647 & -194 & -71 & 180 & 5 & 357 & 153 & 83 & 800 & -576 & 193 & 93 & 83 & 35 & 162 & 860 & 10 & 26 & 825 & 368 & 1095 & 288 & 144 & 237 & 559 & -314 & -1 & -180 & 90 & 86 & 718 & 411 & 338 & -641 & -1 & 125 & 13 & 4 & 449 & 46 & 2018 & 1220 & 1004 & 339 & 188 & -166 & 114 & 402 & 10798 & 43 & 481 & 657 & 29 & -1200 & 1510 & 172 & 0 & 51 & 184 & 60 & 1608 & 392 & -272 & -48 & 90 & 23 & -241 & -1 & 408 & 84 & -35 & 1427 & 1367 & -2 & 35 & 288 & 270 & 396 & 178 & 262 & 478 & 159 & 62 & -395 & -118 & 213 & 17 & 64 & 118 & 238 & -16 & 364 & 633 & 33 & -724 & 19 & 311 & 174 & 139 & 196 & 142 & 1206 & 2114 & 134 & 226 & -185 & 462 & 209 & -149 & 81 & 17 & -71 & -60 & -81 & 26 & 29 & -115 & -95 & -408 & 38 & 165 & 19 & -4 & 374 & 237 & 569 & 131 & 203 & 775 & 742 & -114 & -405 & 259 & 210 & -247 & -1 & 26 & 35 & 575 & 54 & 71 & -23 & 96 & 23 & 36 & 90 & -17 & 737 & 720 & -16 & 1040 & 120 & 134 & 185 & 493 & 431 & 99 & -74 & 203 & -20 & -32 & 326 & 540 & -64 & 24 & 373 & 140 & 115 & 65 & 68 & 108 & 357 & 14 & -289 & -177 & 1178 & 326 & -510 & 35 & 96 & 92 & -35 & 108 & -221 & 1 & 1774 & 149 & 114 & -62 & 458 & 2730 & 275 & 33 & -64 & -102 & 65 & -212 & -16 & 128 & 48 & -446 & -1184 & 241 & 326 & 1354 & -61 & 71 & 127 & 89 & 139 & 191 & -285 & 508 & 305 & 102 & 1951 & 74 & -27 & 945 & 363 & 263 & -33 & -36 & 137 & 758 & 48 & -2 & 1594 & 200 & -185 & -106 & -111 & 159 & -161 & -4 & 7 & 177 & 42 & 406 & 695 & -607 & 2427 & 203 & -77 & -364 & -958 & 803 & 19660 & 1307 & -87 & 14 & -193 & -24 & 33 & -282 & 71 & -21 & 869 & 512 & 30 & 13 & 1264 & 76 & 3384 & -2 & 235 & -897 & -137 & -106 & -27 & 5 & 317 & 40 & 399 & -973 & -49 & 117 & 64 & -70 & 70 & 409 & 666 & 412 & 976 & 430 & 1037 & 84 & 349 & -1832 & 181 & -83 & -19 & 310 & -335 & 199 & -497 & 165 & 234 & 518 & 89 & 165 & -33 & 13752 & 32 & -83 & -2 & 620 & 180 & 76 & 218 & 121 & -52 & -42 & 36 & 64 & 68 & 106 & 216 & 767 & 1263 & 187 & -95 & -270 & -65 & -1 & -461 & 102 & -269 & -174 & -13 & 122 & 177 & 67 & 879 & -120 & 93 & 165 & 303 & 57 & 68 & 355 & -190 & 821 & -30 & 168 & 418 & 745 & 259 & -71 & 638 & -1 & -48 & 307 & -26 & 1081 & -33 & -639 & 206 & 7 & 117 & -427 & 2067 & -87 & 16 & 29 & 497 & 1264 & 65 & 231 & 117 & 282 & 153 & 556 & -156 & 953 & 115 & 1096 & 3318 & -796 & 502 & -127 & -96 & 3184 & 244 & 70 & 105 & 295 & -834 & 26196 & 38 & 629 & -206 & 527 & 108 & 33 & 238 & 127 & 245 & 43 & -43 & 8 & -67 & 772 & 120 & 2302 & 389 & 1179 & 1661 & 323 & -96 & -180 & 323 & 27 & -128 & 11 & -204 & -278 & 705 & -314 & 67 & 2 & -16 & 272 & 243 & 307 & -262 & -210 & 131 & 273 & 143 & 218 & 336 & 70 & 219 & 87 & 35 & 133 & -226 & 975 & -24 & -925 & -174 & -850 & 743 & 1266 & 276 & -221 & -566 & 2336 & 77 & 10164 & 15736 & -576 & 386 & -162 & 1443 & 29136 & 237 & -137 & -847 & 215 & 575 & -418 & 184 & 183 & 385 & 871 & 693 & 14398 & 17254 & 81 & -24 & -663 & 32 & 286 & -250 & -49 & 225 & 185 & 194 & 354 & 1316 & 496 & -112 & -109 & -26 & -942 & -213 & 895 & -36 & -510 & 13 & 209 & 62 & -931 & 758 & 134 & -307 & -322 & -73 & 149 & 745 & -866 & 86 & -20 & 102 & -17 & -401 & 45 & -518 & -45 & -1143 & 1497 & 38 & 532 & 496 & 109 & -462 & -109 & 310 & -136 & 562 & 95 & 21 & -93 & -103 & 472 & 45 & -40 & -1 & -376 & -357 & -194 & 36 & 727 & 376 & 2405 & 4405 & 622 & 9376 & 153 & 19 & 144 & 146 & 89 & 39 & 613 & -361 & -5 & -830 & 95 & 194 & 821 & 147 & 142 & 805 & 39 & -226 & -150 & -188 & 109 & 1881 & 77 & 461 & 27 & -206 & 184 & 32 & 257 & 202 & 6003 & 174 & 40 & -745 & 603 & -1244 & 1604 & -611 & 74 & 136 & -45 & 33 & 161 & -90 & 225 & -194 & 285 & 1111 & 1125 & 521 & 187 & 55 & 231 & 40 & -30 & 64 & -203 & -2222 & 149 & 426 & 212 & -2 & 194 & -294 & 367 & 95 & -169 & -183 & -988 & 2 & 746 & 317 & 2245 & 1090 & 244 & 264 & -278 & 226 & -185 & 257 & 7 & -169 & 149 & -117 & 502 & 655 & 478 & 61 & 89 & -8 & 1162 & 137 & 122 & 131 & 111 & 237 & 812 & 408 & -5 & 1475 & 152 & 39 & 226 & 0 & 30 & 966 & -222 & 480 & 111 & -16 & 98 & -351 & 1629 & -7 & 130 & -4 & -691 & 1424 & 108 & -297 & -383 & 374 & 152 & 18237 & 332 & -124 & 23728 & -300 & 68 & -51 & -264 & 770 & 39 & -500 & -1292 & 4143 & 188 & 127 & 2809 & 597 & 1121 & -106 & 922 & -32 & -137 & 256 & 0 & 363 & 221 & 125 & 313 & -180 & -947 & -86 & -42 & 245 & 2152 & 184 & -68 & 893 & 420 & -8 & 98 & -474 & -196 & 503 & 101 & -153 & 46 & 112 & -188 & 26 & 307 & 342 & -35 & -40 & 64 & 163 & 216 & 475 & 1144 & -292 & 307 & -114 & 127 & 673 & 5 & 486 & -80 & 1436 & 884 & -74 & 115 & -7 & 2339 & 1207 & 1789 & 22123 & 21349 & 128 & 140 & 40 & -221 & 48 & -80 & 1226 & -49 & 5478 & 64 & -200 & 87 & 32 & 199 & 411 & -260 & -1018 & 383 & 115 & -73 & 62 & 111 & 43 & 231 & 80 & -121 & 313 & 22936 & 537 & 10 & 390 & 17 & -652 & -534 & 84 & -30 & 121 & 360 & -467 & 380 & 209 & 1267 & 360 & 134 & 1225 & 111 & 93 & 118 & 1355 & -417 & -377 & 380 & -73 & -114 & 178 & -1468 & -483 & 137 & 276 & 686 & 172 & -93 & 469 & -35 & -196 & 424 & -17 & -140 & 505 & -62 & -62 & 99 & 122 & 1055 & -1 & -26 & 295 & 187 & -38 & 152 & -76 & 1354 & -48 & 62 & 193 & -76 & -130 & 74 & 456 & 225 & 289 & 253 & -7 & 163 & -292 & 295 & 71 & 171 & -879 & -650 & -74 & -1294 & 20 & 83 & 1273 & -250 & 480 & 642 & 515 & -114 & -36 & 207 & 301 & 671 & 52 & -196 & -84 & 73 & 218 & -465 & 238 & 35 & -579 & 484 & 264 & 1184 & -266 & -115 & 382 & 644 & 64 & 45 & 118 & 270 & 219 & 443 & 674 & -10 & 1048 & -124 & -21 & 73 & 341 & 544 & -4 & 976 & -67 & -5 & -692 & -74 & -180 & -323 & 344 & -19 & 174 & 38 & -13 & -187 & 158 & -1018 & -48 & -2093 & 1102 & -101 & 234 & 169 & -278 & 698 & 2941 & 20769 & 456 & 143 & 1408 & 341 & -19 & -462 & -108 & 1007 & -699 & 128 & 8754 & -121 & 7442 & -42 & -42 & 11347 & 194 & 95 & 40 & -64 & 175 & 364 & -30 & 922 & -163 & -572 & -139 & 308 & 677 & -20 & 67 & 166 & 200 & 619 & -450 & -1005 & 279 & 568 & 695 & 96 & 15865 & 57 & -197 & 856 & 21 & -137 & 493 & 349 & 89 & 169 & -360 & -204 & 48 & 330 & 144 & 58 & 2758 & 2431 & -35 & -46 & -128 & 49 & -26 & 166 & 1212 & 351 & -70 & 1916 & 598 & 140 & 1525 & 196 & -124 & 2652 & -262 & 67 & -99 & 122 & 1418 & 199 & 373 & -30 & 114 & -712 & 751 & -86 & -562 & 79 & 19 & -16 & 496 & 93 & 490 & 1153 & 80 & 1739 & 101 & 226 & 57 & 537 & 689 & 206 & 194 & 102 & 108 & 3043 & 1910 & -664 & -71 & 109 & -554 & 385 & 251 & 62 & 1229 & 332 & 1570 & 90 & -122 & 581 & 92 & 301 & -2338 & 209 & 162 & -215 & 834 & 130 & 61 & -1368 & -402 & 1042 & -27 & -24 & 2010 & -344 & 755 & -529 & -40 & -166 & 80 & 512 & 1289 & -1300 & -335 & 1496 & 12066 & -8 & 229 & 812 & -89 & 106 & -461 & 442 & 4787 & 114 & 89 & 29 & 658 & 1037 & 257 & 58 & 540 & 193 & -307 & 638 & 17 & 140 & 890 & 568 & 29 & 1545 & -33 & 603 & -17 & -1 & 622 & 613 & 865 & 159 & -1592 & -38 & -322 & 1950 & -54 & 270 & -96 & 38 & -23 & -124 & 550 & 114 & 257 & 159 & 21 & -218 & -178 & 472 & -931 & 89 & 1259 & 231 & 190 & 38 & 802 & -10 & 650 & 1030 & 674 & -166 & -73 & -17 & 174 & 1289 & 70 & 58 & 159 & -57 & -670 & 5624 & 67 & 98 & 308 & -58 & -17 & 673 & 447 & 86 & 11 & 502 & 734 & -278 & 849 & 20 & -115 & -250 & 87 & -57 & 136 & -62 & 635 & -253 & 297 & 62 & 269 & 701 & 995 & -165 & -51 & 35 & -468 & -51 & -43 & 1178 & -30 & 152 & 1035 & 961 & 919 & -120 & 863 & -266 & -270 & 601 & -30 & 149 & -134 & -314 & 152 & 87 & -7 & 93 & -79 & 314 & 98 & 743 & 537 & -26 & 1002 & -289 & 184 & -48 & 81 & -206 & -26 & -758 & 598 & 5 & 5828 & 6396 & -174 & 215 & 206 & 866 & 32 & 22267 & 158 & -436 & 316 & -7 & -342 & -650 & 5 & 149 & 380 & 355 & 178 & 253 & 734 & 7 & -76 & -13 & -137 & -54 & -95 & -8 & 181 & 1076 & 122 & -254 & -128 & -458 & 140 & -29 & 301 & 212 & 68 & 101 & 525 & -70 & 76 & 244 & 272 & -55 & -42 & -257 & 215 & 111 & -650 & 10 & 86 & 247 & -714 & 357 & -98 & 191 & 136 & 200 & -2 & 19 & 450 & -76 & 360 & -64 & 112 & 83 & 712 & -434 & 499 & 1954 & 895 & 802 & -480 & -149 & -215 & 120 & -264 & -71 & 1818 & 134 & 286 & 243 & -761 & -49 & -207 & 24 & 108 & -36 & 875 & 494 & 267 & -147 & 972 & -549 & -30 & 177 & 99 & 55 & 248 & -307 & -325 & 67 & 799 & 881 & 136 & 341 & 300 & 393 & 33 & 1191 & -65 & -114 & 248 & -1105 & 386 & 13413 & 409 & 19 & -7 & 93 & 292 & -90 & 115 & 7650 & -29 & 199 & 1813 & 1455 & -398 & -575 & 418 & 354 & -226 & 250 & 87 & -177 & 13 & 361 & 89 & 297 & -781 & -24 & 29 & 136 & 38 & 792 & 196 & -405 & -464 & 23 & -30 & 366 & 544 & 5785 & 7696 & 35 & -29 & 701 & 193 & 2371 & 430 & 90 & 289 & -2367 & 423 & -505 & 506 & 90 & 989 & -7 & 1809 & 74 & -221 & -521 & -717 & 156 & 669 & 1869 & -58 & 39 & -256 & 55 & 1398 & -248 & 159 & -575 & 1526 & 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-794 & 541 & -57 & 68 & 480 & 360 & -73 & -86 & 399 & 677 & 775 & 1483 & 61 & 1464 & -161 & 516 & -10 & -547 & 45 & 24 & 503 & 307 & 367 & -68 & -42 & 408 & -181 & 582 & 16 & -13 & 46 & 76 & -308 & 443 & 780 & 1668 & 411 & 762 & -4 & -414 & -796 & -199 & 1238 & 335 & 190 & 65 & -49 & 43 & -74 & -174 & 461 & 264 & 784 & 606 & 1118 & 4599 & 93 & 12818 & -153 & 29 & 2 & 103 & 7 & -10 & 36 & 51 & -607 & -130 & 149 & -54 & 2437 & -55 & -253 & -55 & -137 & 951 & -115 & 1118 & 1 & -222 & -162 & -42 & 401 & -161 & 264 & 30 & 190 & 142 & -206 & 2 & -222 & 387 & 660 & 286 & 904 & -101 & 70 & 174 & -2 & -61 & 575 & -1 & 257 & 215 & 780 & -166 & -36 & 111 & 598 & 357 & -234 & 83 & 17 & 1020 & -10 & 86 & -354 & 188 & 9530 & 10 & 203 & -103 & -13 & -38 & 464 & 9516 & -127 & 412 & -401 & 222 & 342 & -235 & 532 & -674 & 105 & 142 & 35 & 841 & 1784 & -288 & -267 & 383 & 155 & -13 & 8 & 540 & 320 & 1815 & -90 & 199 & 77 & 122 & -29 & -14 & -279 & -90 & -19 & 270 & 300 & 180 & 67 & 105 & 535 & -27 & 1526 & 27 & -125 & -500 & -821 & 936 & 241 & 253 & 437 & 23 & 61 & 206 & -199 & 125 & 83 & -49 & 1444 & -17 & 165 & 1690 & 821 & 739 & -162 & 1433 & -1136 & 1026 & -143 & 459 & -10 & 281 & -136 & 21 & -89 & 344 & -99 & 1196 & 232 & -156 & 93 & 461 & 1420 & -60 & 95 & 42 & -23 & 1052 & -74 & 780 & 529 & -193 & -1294 & -262 & 691 & 519 & -270 & 45 & -878 & 1308 & -1472 & 543 & 117 & 4074 & 61 & -619 & 14975 & 231 & 257 & 4071 & -140 & -33 & 6078 & 6946 & 2449 & -803 & -10 & 216 & 999 & -285 & -543 & -881 & -304 & 0 & 354 & 55 & 4279 & 651 & 970 & 221 & -723 & 370 & 304 & 529 & 275 & 212 & 74 & 557 & 368 & 1172 & 732 & 115 & -338 & 7 & -58 & 169 & 14307 & 871 & 70 & 338 & 45 & 130 & -124 & -87 & 144 & 185 & -150 & 273 & 13 & -51 & -307 & -245 & -4 & 544 & -262 & 617 & 111 & -644 & 117 & -96 & 288 & -23 & 9499 & 17954 & 569 & 276 & -229 & 18764 & 10349 & 204 & 9883 & -304 & -109 & 383 & -13 & 303 & 117 & 87 & -142 & 212 & 5 & 325 & 80 & -518 & -2406 & 1323 & 83 & 529 & -295 & 352 & -67 & 67 & 263 & -33 & -33 & -21\\\\\n", "\t42 & 22 & -153 & 17 & 276 & -211 & -250 & 55 & -141 & 0 & 500 & 58 & -517 & -24 & -99 & 13 & -77 & -182 & -150 & 25880 & 41 & 70 & -12 & 37 & -15 & 49 & -52 & -120 & -23 & -37 & -70 & -254 & 51 & -340 & -149 & -153 & -124 & 194 & 532 & -55 & -341 & -313 & 15439 & 14345 & 17735 & 15363 & 20794 & 20166 & 497 & 399 & 859 & 207 & 2582 & 822 & 1041 & 129 & 8 & 158 & -232 & 435 & 96 & 31 & 138 & 40 & -120 & 283 & 113 & 1082 & 111 & 530 & -1281 & -703 & 272 & -315 & -124 & -63 & -114 & 163 & 261 & 695 & -6 & 311 & 1111 & 13 & 33 & 149 & 176 & -171 & 1053 & 868 & 41 & 887 & 189 & 864 & 525 & 217 & -105 & -27 & 253 & 84 & -19 & 163 & -53 & 165 & 222 & -161 & 58 & 2152 & 506 & -1198 & 385 & 62 & -4 & 129 & 157 & -168 & 67 & 153 & 189 & -161 & -630 & 6 & -284 & 73 & 1291 & -95 & -454 & -116 & 55 & 149 & 186 & 443 & 26 & 23 & 88 & -15 & 288 & -203 & 211 & 348 & 854 & 413 & 300 & 270 & 194 & 84 & 269 & 204 & 421 & 26 & -215 & 591 & 100 & 283 & 1829 & 566 & -529 & 468 & -280 & 815 & -329 & 590 & 287 & 2972 & 373 & 11 & 35 & 3048 & 905 & 1036 & 399 & 913 & -117 & -200 & 143 & 70 & 507 & 168 & 77 & 23 & 107 & 2062 & 583 & 73 & 88 & -64 & 51 & 34 & 29 & -1468 & -135 & 2668 & 47 & -47 & 0 & 1137 & 1252 & 98 & 52 & 34 & 978 & 110 & 609 & 207 & 91 & 40 & -60 & -94 & 655 & 1751 & 793 & 6 & -298 & 12 & -183 & 4543 & -453 & 146 & 1809 & -297 & 1218 & 1093 & -132 & 225 & 5 & -223 & 16061 & -82 & 1541 & 583 & 76 & 12 & 1100 & 494 & 720 & 1 & 2 & 692 & 447 & 1569 & 330 & 3358 & 315 & 2553 & 27 & -2 & 239 & 31 & 389 & 439 & 286 & 311 & 2517 & 593 & 77 & 775 & 15 & 363 & -23 & 770 & -20 & 2939 & 1493 & -248 & 13 & -116 & -4 & -26 & -1041 & -45 & 87 & -312 & -5 & 746 & 405 & 1779 & 290 & 248 & -66 & -706 & -95 & 6 & 1126 & 5790 & 125 & -44 & 31 & 62 & 416 & 1356 & -143 & 12489 & 1479 & 2188 & -136 & 973 & 363 & 152 & 236 & 450 & 374 & 167 & -94 & 208 & 11 & 622 & 9 & 150 & 5350 & 165 & -67 & -110 & 4844 & -74 & 206 & 818 & 8 & -2 & 20 & 2 & 16 & 233 & 1657 & 1072 & 1578 & 192 & 438 & 633 & 601 & 208 & 170 & 1715 & 3249 & 847 & 215 & 128 & 438 & 197 & 365 & 1388 & 335 & 103 & -178 & 760 & 153 & 74 & -15 & 924 & 91 & -264 & 653 & 241 & 80 & 4436 & 175 & 291 & 165 & 1140 & 185 & 48 & 62 & -149 & 810 & 535 & 3170 & 34 & 95 & 17 & 1302 & 605 & 956 & 1531 & -127 & 197 & 247 & 1179 & 261 & 116 & 770 & 356 & 175 & 211 & -51 & 266 & 2078 & 980 & 1142 & -1473 & 344 & -42 & 510 & -16 & -38 & 109 & -188 & -8 & 457 & -33 & 258 & 749 & 1136 & 363 & 284 & 1111 & 176 & 120 & 193 & 4 & -564 & -45 & -178 & 789 & 1501 & 20 & -6 & 431 & 170 & -374 & 215 & 23 & 124 & 8 & -2 & 282 & 699 & 316 & 95 & 891 & 123 & 121 & 143 & 1646 & 67 & -127 & 44 & 88 & 293 & 158 & 291 & 530 & 110 & 1653 & -19 & 362 & 42 & 67 & -109 & 219 & -96 & 88 & 685 & 474 & 56 & 826 & -23 & 100 & -391 & 1122 & -174 & 517 & 347 & 35 & 52 & 612 & 5071 & -139 & 29 & -235 & 129 & -76 & 240 & -138 & -193 & 63 & -45 & 118 & -118 & 26 & -160 & -136 & 842 & 100 & 223 & 611 & 223 & 399 & 456 & 387 & 110 & 259 & 406 & 6 & 464 & 218 & -138 & 48 & 381 & 536 & 228 & 217 & 478 & -203 & -217 & 410 & 472 & -761 & 1212 & 295 & 103 & 1310 & -95 & -293 & 47 & -154 & 158 & 4 & 69 & 1128 & 1219 & 84 & 951 & 188 & 847 & -27 & 110 & -588 & 580 & 413 & 388 & 236 & 13 & 501 & 7074 & 178 & 550 & 251 & 623 & 163 & 376 & 984 & 76 & 27 & 656 & 7696 & 479 & 358 & -45 & 391 & -611 & 51 & 212 & -70 & 555 & 80 & 248 & 1838 & 1607 & 33 & -82 & 396 & -45 & -41 & -84 & 13871 & 192 & 22 & 237 & 651 & 30820 & -37 & -1834 & 2835 & -374 & 138 & 178 & 342 & 551 & 352 & 143 & 124 & 58 & 457 & 78 & -474 & 558 & 170 & 996 & 114 & 264 & 264 & 535 & 175 & 153 & 81 & 11 & -161 & 481 & 60 & 519 & 326 & 150 & -141 & 141 & 92 & 235 & 525 & 327 & 434 & 276 & -1202 & 358 & 88 & 1101 & 114 & 106 & 105 & 77 & 269 & -218 & 95 & 165 & 35 & 385 & 1769 & 13 & -33 & -158 & 459 & 230 & 183 & 19 & 186 & 58 & -17 & -31 & 746 & 183 & -559 & 11 & 69 & 875 & 134 & 435 & 27 & -301 & 44 & 23 & 51 & 258 & 1180 & 768 & 38 & -37 & -9 & 554 & 282 & 167 & 98 & -76 & 103 & 116 & 174 & -70 & 264 & 496 & 280 & 1580 & 774 & 2947 & -222 & 37 & 1146 & -52 & 340 & 331 & -69 & 558 & 461 & 258 & 514 & -27 & 59 & 4 & 416 & -175 & 219 & -64 & -102 & -447 & 236 & 139 & 647 & 327 & 106 & 85 & 348 & 128 & 59 & 4935 & 403 & -8 & 178 & 71 & 450 & -257 & -188 & -294 & 95 & 116 & 251 & 1198 & 453 & 17 & 293 & 88 & 85 & 139 & 188 & 204 & 109 & 255 & 179 & 3629 & 532 & 236 & -1328 & 247 & -52 & 12 & 77 & 800 & 67 & 508 & -143 & -22 & 389 & 135 & 223 & 5 & 172 & 91 & 808 & -253 & 40 & 403 & 45 & 8357 & 77 & 153 & 123 & 904 & 2447 & -276 & 146 & 559 & -410 & -66 & 360 & 3110 & 254 & 189 & -92 & 22 & 211 & -535 & 27 & 73 & 161 & 261 & -1 & 1204 & 22 & 109 & 40 & 1226 & 19 & 117 & 16 & 651 & 656 & -11 & 3506 & -52 & 410 & 13 & 277 & -63 & -147 & 47 & 2884 & -24 & 229 & 52 & 208 & 1208 & 312 & 45 & -53 & 1462 & 1545 & 452 & -89 & 363 & -601 & 3600 & 1274 & 1830 & 106 & 344 & 188 & -19 & 138 & 21200 & 489 & 233 & 4721 & 659 & 987 & 330 & 207 & 70 & 741 & 49 & -2730 & 467 & -329 & -810 & -580 & -629 & -301 & 128 & -207 & 210 & 457 & 2496 & 656 & 395 & -6 & -211 & 511 & 580 & -196 & 154 & -78 & 142 & 134 & 23 & 568 & 384 & -428 & -153 & 467 & 41 & 59 & 1768 & 59 & 63 & -225 & -334 & 92 & -927 & 62 & 612 & 84 & -288 & -142 & -123 & -335 & 241 & -63 & 832 & -106 & 335 & -37 & 1237 & 20 & 226 & 53 & 1160 & 24207 & 467 & 237 & 241 & 2006 & -117 & 197 & -634 & 7380 & -27 & -105 & 131 & 11 & -67 & -17 & 485 & 62 & 23136 & 225 & 16 & -41 & 128 & 297 & -506 & 221 & 60 & -287 & 22868 & -212 & -150 & 306 & -87 & 1153 & 16397 & -64 & -677 & 183 & -96 & 48 & 30 & 304 & -407 & 953 & 225 & 78 & -77 & 13 & 7076 & -164 & 511 & 185 & 29047 & 1213 & -413 & 494 & 886 & -66 & 734 & 17 & -212 & 257 & -125 & -4 & 7500 & -24 & 175 & -1 & 123 & -27 & 294 & 280 & -702 & -27 & -511 & 56 & 24 & 30 & 414 & -105 & 264 & -384 & 537 & 359 & -134 & -20 & 590 & 1552 & -22 & 41 & 5 & 226 & 265 & 605 & 403 & 179 & 584 & -11 & -306 & -143 & -250 & 113 & -94 & 283 & 13 & 282 & -226 & 92 & 24 & 494 & -1 & 105 & -76 & 489 & 11 & 998 & -194 & -387 & 13667 & -55 & 1039 & 96 & 210 & 156 & -266 & -96 & -11 & 153 & -85 & -77 & 427 & 8030 & 142 & 507 & -12 & 204 & 24 & 219 & 544 & 15 & 85 & 91 & 219 & 129 & 4 & -1713 & 16958 & 4487 & 91 & -44 & 6299 & -62 & -76 & 157 & 13223 & -323 & 620 & 77 & 109 & -73 & -304 & -717 & 536 & 627 & 604 & -111 & 294 & -111 & 212 & 746 & 41 & 206 & 206 & -118 & -42 & 297 & 579 & 132 & -12 & -6 & -11 & -884 & 197 & 474 & 1581 & 476 & 576 & 150 & 185 & -67 & -273 & -246 & 1556 & 82 & 738 & -280 & 6777 & -15 & 217 & 785 & 844 & -269 & 84 & 99 & 8816 & 1773 & 637 & 356 & 3047 & 185 & 60 & 442 & 7214 & 421 & 167 & 31 & 356 & 51 & 399 & 85 & -64 & 175 & 4 & 11 & 207 & -633 & 1319 & 73 & -284 & -22 & 168 & 2188 & 1092 & 269 & -212 & 179 & 165 & 19 & 602 & 1115 & 206 & 1267 & 1125 & -102 & 52 & 15 & -31 & 864 & 153 & 2100 & 616 & -13 & 681 & -12 & 7602 & 550 & -110 & 113 & -109 & -16 & 211 & -291 & 1 & -78 & -207 & -48 & 233 & 1024 & 887 & 938 & -87 & 48 & 44 & 41 & 1189 & 200 & 3893 & 76 & 235 & 344 & -73 & 3943 & 26 & 33 & 2 & 192 & -15 & 110 & 2685 & -541 & -80 & 255 & 323 & 2358 & 163 & 221 & 717 & -203 & 936 & 331 & 255 & -17 & 467 & 128 & -42 & -270 & -182 & 141 & 55 & 217 & 1487 & -13 & 286 & 58 & 91 & -183 & 76 & 121 & -6 & 1775 & 279 & -459 & 472 & 20 & 145 & 298 & -237 & 99 & -145 & 365 & -80 & 132 & -258 & 44 & -197 & 158 & -2 & -244 & 327 & 840 & -96 & -1460 & -23 & -806 & 28380 & 9357 & 190 & -255 & -541 & 226 & 294 & 19 & 311 & 4 & -279 & 49 & 293 & 29 & 142 & -94 & -85 & 4595 & -572 & 290 & -53 & -105 & -4 & 33 & 724 & -37 & 743 & 1726 & -77 & 8 & -102 & 2404 & 99 & -11 & 89 & 438 & 2704 & 228 & 1 & -45 & -82 & 30 & 82 & 42 & 2621 & 16 & 702 & 1 & 829 & -84 & -1014 & -255 & 22 & 78 & -52 & 2752 & -145 & 1089 & 35 & 324 & 876 & 102 & 6 & -370 & 1046 & 62 & 832 & 8948 & 15 & 1032 & 128 & -74 & 1379 & 105 & 924 & 34 & 352 & 138 & 35 & 116 & -38 & 702 & 716 & -110 & 100 & 30 & 31 & 59 & 649 & 406 & 423 & 67 & -1176 & 337 & 427 & 95 & 1220 & 1112 & 154 & 808 & 109 & -369 & 548 & 2 & -4 & 241 & -199 & 788 & 313 & 204 & 3112 & 67 & 366 & 178 & -1717 & 117 & -380 & -347 & 116 & -1794 & 92 & 1526 & 138 & 235 & 981 & 898 & 58 & -13 & 452 & -19 & 4245 & -40 & 434 & 109 & -185 & 1583 & 456 & 1614 & 29 & -60 & 1042 & 858 & 181 & -110 & -77 & 280 & 138 & 1931 & 13078 & 4 & 1262 & 1244 & 270 & 16 & 4481 & 58 & 268 & 62 & 1735 & 714 & 1097 & 110 & 20 & 152 & 42 & 846 & 81 & 276 & 261 & 47 & 64 & 141 & 4866 & 4006 & -63 & 511 & 63 & 308 & 666 & -843 & 490 & 1964 & 465 & -666 & 479 & 605 & 42 & 116 & 53 & -26 & -141 & 189 & 26 & -51 & 30 & 1596 & -866 & 226 & 671 & 5152 & 161 & 738 & 91 & -388 & 44 & 225 & -66 & 179 & 783 & -320 & 76 & 16136 & 143 & -287 & 170 & 9 & -163 & 20 & -235 & 214 & -105 & -26 & 60 & 637 & 409 & 799 & 494 & 199 & 222 & 218 & 161 & 347 & -1233 & 442 & 228 & -219 & 1 & -154 & -80 & -382 & 443 & 794 & 217 & 157 & 175 & -17 & 29 & 88 & 17 & -49 & 110 & 1378 & 340 & -423 & -40 & -533 & -121 & 149 & 998 & 154 & 110 & 566 & 176 & 55 & -264 & 199 & 33 & 63 & 1301 & 105 & 251 & -5 & 129 & -275 & 276 & 138 & -20 & 161 & 588 & 118 & 217 & 62 & 24 & 42 & -38 & -793 & 1596 & 183 & 210 & 467 & -41 & 37 & -329 & 454 & 49 & 103 & -20 & 417 & 171 & 3717 & 465 & 514 & 929 & -211 & -4 & 98 & 1425 & -8 & 80 & 23 & 416 & -251 & 678 & -526 & 11 & 175 & -637 & 22 & 212 & 919 & 410 & 824 & -42 & 136 & 26 & 1099 & 167 & 120 & 16685 & 1147 & 248 & -193 & -19 & 165 & 27 & 80 & 29 & -42 & 37 & 879 & 906 & 47 & 1048 & -66 & 41 & -201 & -139 & 4 & -132 & 110 & 363 & 432 & -1 & 99 & 329 & 56 & 105 & 288 & 387 & -81 & -157 & -8 & 449 & 149 & 298 & 146 & 840 & -293 & -193 & -55 & 270 & -176 & -226 & -723 & -13 & -277 & -17 & 38 & 1 & -453 & 358 & -728 & 175 & 246 & -1 & -45 & -295 & 223 & 106 & 38 & 188 & 301 & 510 & 879 & 16 & 496 & -163 & 517 & 30 & 272 & 257 & 157 & 136 & 634 & -85 & -100 & 294 & 59 & 273 & 2 & -38 & 233 & 1020 & 24 & 226 & 5 & 1504 & 4 & 237 & 1867 & 3818 & 519 & 232 & 53 & -70 & 27 & 283 & 312 & 60 & 182 & 474 & -129 & 352 & -59 & 82 & -215 & -749 & 99 & -973 & 167 & 45 & 88 & 428 & 125 & 176 & -127 & -569 & 247 & 476 & -52 & -34 & 833 & 10245 & -251 & -283 & 13379 & 6 & -27 & 158 & -402 & 27 & 211 & 100 & 4357 & 239 & -22 & 141 & -482 & 1222 & -181 & 468 & 114 & 265 & 217 & 175 & 304 & -276 & 8 & 1288 & 152 & 60 & 1142 & 2208 & 156 & -192 & 13773 & -42 & -507 & 1288 & -41 & -16 & 73 & 127 & 170 & -138 & 229 & -402 & 174 & -345 & 175 & -161 & 752 & -60 & 63 & -17 & 134 & 1193 & 295 & 98 & 241 & 1265 & 1822 & 31 & -152 & -17 & 1392 & -66 & 468 & 265 & 27 & -107 & -623 & 128 & 265 & 3903 & 230 & -45 & 721 & -94 & -710 & 142 & -23 & 11 & 85 & 55 & -70 & -85 & 35 & 264 & -15 & -33 & 20812 & 373 & 17117 & 21466 & 16934 & -29 & 1 & 16 & -27 & -453 & 206 & -179 & 5996 & -9 & -30 & 2737 & 989 & 1758 & -915 & 247 & -165 & 800 & 956 & -160 & 730 & 124 & 26 & 506 & 228 & 62 & 562 & -319 & -724 & 634 & -102 & 2780 & -351 & 110 & 577 & 3113 & 13 & 1419 & 174 & 1 & 199 & 114 & 58 & 694 & 2241 & 76 & -41 & 91 & -189 & -160 & 42 & 1638 & 253 & 1349 & 547 & 895 & 190 & 420 & 806 & 389 & 548 & 89 & 207 & 442 & 424 & 446 & 141 & 154 & 1057 & 370 & 116 & 69 & 6355 & -30 & 20975 & 1450 & -8 & 59 & 341 & -344 & 192 & 23 & 1031 & 174 & -713 & 16 & 2 & 106 & 413 & 262 & 153 & 11 & 51 & 147 & 100 & 194 & 31 & 135 & -16 & 6 & 302 & 6365 & 15 & 305 & 194 & 7521 & 20 & 320 & 30 & -712 & 55 & 125 & 308 & -81 & 48 & 250 & 334 & -410 & -84 & 125 & -235 & 178 & -322 & 69 & 1005 & -194 & 8 & -253 & -6 & 66 & 1601 & -82 & 146 & 114 & 96 & 102 & 742 & -88 & 178 & 105 & -124 & 579 & 559 & 338 & 1050 & 48 & 403 & -222 & 163 & 181 & 131 & 37 & 192 & 222 & 499 & 944 & -588 & 485 & 111 & -8 & 38 & 2158 & 658 & 16866 & 280 & -541 & 5941 & 983 & 73 & -13 & -89 & -470 & 26 & 91 & 546 & -33 & 319 & 273 & 322 & 277 & 4 & 98 & 7547 & -13 & -64 & 329 & 99 & 145 & 544 & 2 & 52 & 699 & 1560 & 822 & -258 & 5451 & 3528 & 991 & 70 & 554 & 49 & -5 & 985 & 1072 & 80 & 2644 & 33 & 78 & 84 & 295 & 116 & 767 & 287 & 82 & 1130 & 298 & -17 & -13 & -197 & 82 & 342 & 230 & 349 & 739 & 161 & -298 & 832 & -535 & 1504 & 1117 & 45 & 176 & 275 & 80 & 62 & 2976 & 81 & 88 & 576 & -66 & -29 & 580 & 344 & 3842 & 9 & 134 & 105 & 58 & 60 & 373 & 192 & 478 & 118 & 1565 & 67 & -118 & 99 & 235 & 33 & 465 & 23 & 95 & 403 & -27 & -27 & 381 & -812 & 270 & 168 & -66 & 5 & 176 & -17 & -461 & 423 & -226 & 4508 & -353 & -601 & 1065 & -24 & 3940 & 806 & -168 & 230 & 71 & 139 & 37 & -59 & 817 & -203 & 8339 & 8 & 6 & 1931 & 963 & 175 & 396 & 206 & 226 & -331 & -41 & -62 & -153 & -67 & -286 & 156 & 47 & 13 & 376 & 1952 & 1905 & -463 & -96 & -147 & -51 & 298 & 450 & -283 & -85 & 648 & 52 & 161 & -8 & 548 & 229 & 15196 & 6487 & 944 & -40 & 102 & 118 & 123 & 618 & 353 & 35 & -132 & 439 & 16 & -12 & 33 & 5 & 153 & -385 & 2274 & 412 & -442 & 142 & 12700 & -340 & -24 & -78 & -76 & 210 & 1107 & -58 & 1096 & 768 & 667 & -167 & 689 & 233 & -124 & 771 & 1 & 317 & 1237 & 319 & -30 & 59 & -168 & 19 & 2573 & 407 & 832 & -139 & 84 & -12 & 338 & -207 & 459 & 331 & 99 & -99 & 120 & -37 & 540 & -142 & 81 & 56 & 100 & -107 & 11210 & -526 & 4339 & 240 & 23 & 677 & 62 & 865 & -465 & 84 & 189 & -1471 & 425 & 356 & 1 & 120 & -593 & -145 & 627 & 123 & 176 & -12 & 157 & 19 & 150 & 127 & 919 & 9757 & 9632 & 77 & -74 & 38 & 111 & -253 & -306 & -92 & 264 & 255 & 251 & 74 & 1121 & -53 & 165 & 62 & 235 & 152 & 276 & 27 & -457 & -215 & -226 & 602 & 266 & 24 & -884 & 53 & 2501 & 138 & 551 & 22 & 118 & 1822 & -64 & -214 & 631 & -1464 & -475 & 262 & -92 & 192 & 73 & 409 & 253 & 53 & 49 & 10503 & -204 & 81 & 193 & -47 & 588 & 294 & 2383 & 179 & 286 & 380 & 331 & -873 & 269 & 287 & 362 & -240 & 41 & 171 & 398 & 125 & -26 & 2102 & 37 & -5 & 19153 & 12 & 183 & -456 & 212 & 73 & 300 & 30 & 371 & 246 & 373 & -26 & 99 & 388 & 186 & -150 & 525 & -22 & -1176 & 100 & -435 & -342 & -40 & 413 & -143 & 94 & -51 & 3474 & 232 & -124 & 73 & 6181 & 2469 & -71 & 358 & 121 & 109 & -161 & -275 & 385 & 421 & 7271 & -301 & -74 & 129 & 706 & 2021 & 76 & 127 & 490 & -476 & 26 & -547 & -80 & 23 & -286 & 181 & 168 & 400 & 44 & 218 & 334 & 29 & 1226 & -259 & 1697 & 73 & 1121 & 92 & 319 & 494 & 1609 & -1 & 255 & 8 & -742 & 2578 & 301 & -312 & 163 & 45 & 785 & -51 & 59 & -88 & 503 & 2693 & 334 & -248 & 553 & 84 & 300 & 897 & 394 & 1519 & 5358 & 269 & 81 & 215 & -385 & 255 & 312 & 864 & 253 & 164 & 428 & 37 & 118 & 230 & 113 & 533 & 2 & 391 & 80 & 582 & 1399 & -24 & -114 & -37 & -358 & 414 & 649 & 1013 & -312 & 1216 & 2163 & 232 & 850 & -423 & 82 & -246 & 259 & 445 & 2084 & 876 & 2376 & 300 & 67 & 27 & 91 & -44 & 38 & 42 & 344 & -283 & 347 & -17 & 562 & -380 & 807 & 99 & -84 & 134 & 4288 & 667 & 60 & 243 & -270 & 29 & 120 & 837 & 600 & -604 & 568 & -257 & -35 & 179 & 445 & 1168 & 179 & 287 & -33 & -142 & 882 & 208 & -88 & 11 & -17 & 398 & 370 & 251 & -64 & 127 & 1507 & 58 & -2073 & 66 & 29 & 327 & 392 & 29 & 103 & -15 & 606 & 699 & 381 & 128 & 150 & 503 & -22 & 313 & 89 & 40 & 158 & 460 & 107 & -110 & 134 & -315 & -41 & 165 & -196 & 181 & -158 & 157 & 164 & 1972 & -152 & 311 & 9 & 77 & 1562 & 66 & 3587 & 98 & 463 & 584 & -52 & 71 & 141 & 587 & -33 & 253 & 8 & 884 & 161 & 37 & 99 & 257 & 48 & 12 & -382 & 1507 & -15 & 81 & 64 & -41 & 168 & 91 & 1306 & 221 & -226 & 396 & 223 & 304 & 55 & 22 & 64 & 47 & 185 & 394 & 66 & 13353 & 100 & 669 & -423 & 15 & 206 & -59 & 52 & 933 & 467 & -143 & 139 & 111 & 1320 & -129 & 211 & 1255 & 89 & -37 & -103 & 179 & -308 & -59 & 1038 & -78 & 522 & -15 & 64 & -337 & -125 & 154 & 476 & -640 & -23 & 63 & -431 & 96 & -121 & 429 & 421 & -678 & -20 & 38 & 35 & 106 & 801 & 279 & 387 & 67 & 4 & -160 & 653 & -279 & -27 & 721 & 1013 & 210 & -132 & 200 & 308 & 52 & 89 & 830 & -479 & 2503 & 293 & -37 & 185 & -127 & 405 & -66 & 425 & -223 & 392 & 102 & 293 & 7963 & 705 & 199 & -481 & 575 & 152 & 120 & -91 & 30 & 843 & 89 & 154 & 1204 & -859 & 250 & 246 & -978 & 207 & -387 & 283 & 143 & 228 & 143 & -24 & 825 & -67 & 84 & 211 & -243 & -29 & 52 & 716 & -92 & -6 & 105 & 84 & 128 & -330 & 141 & 82 & 98 & -40 & 427 & -27 & 544 & 4750 & 554 & -48 & 512 & -96 & 1818 & 335 & 135 & 37 & 127 & -37 & 605 & 105 & 197 & 20 & 326 & -5 & 806 & 127 & 432 & 200 & -116 & 66 & -948 & 20 & 358 & 247 & 298 & 128 & -127 & -171 & 720 & 276 & 1115 & 40 & 4605 & -40 & 6 & 2947 & -48 & 403 & 92 & 70 & 88 & 5 & -919 & 308 & 407 & 102 & -951 & -246 & 218 & 261 & -351 & 358 & 806 & 356 & 123 & -37 & 41 & 582 & 143 & 246 & -45 & 305 & 62 & 460 & 15 & 208 & 235 & -537 & 530 & -141 & 2824 & 138 & -518 & 20 & 164 & 95 & 1885 & 818 & 301 & 436 & 705 & -1209 & 17702 & 652 & 2798 & 257 & 331 & 718 & 319 & 52 & 13 & 8 & 561 & -5 & 526 & 138 & -138 & 67 & 709 & 211 & 51 & 124 & 13 & -40 & 275 & 2071 & 222 & 757 & -276 & 44 & -56 & 1631 & 17724 & 9136 & 649 & -4 & -24 & 174 & -2 & 29 & 1110 & 80 & -29 & 74 & 117 & 38 & 157 & 76 & -141 & 164 & -92 & 127 & -29 & 365 & 297 & 67 & 2 & 105 & 179 & 966 & 62 & 500 & -40 & 1043 & 24 & 52 & 107 & 272 & 535 & 2084 & 16 & 77 & 10495 & 18640 & 12360 & 7029 & 12529 & 24690 & 3933 & 170 & 1027 & 132 & -153 & 731 & 312 & -17 & 788 & 176 & -37 & -685 & -294 & 893 & -158 & -95 & -156 & 323 & 19 & 123 & -96 & 359 & -4 & 81 & 16 & 508 & 154 & 31 & 219 & 214 & 102 & -164 & -45 & 42 & -35 & 42 & 127 & 24 & -185 & 174 & 55 & -554 & 334 & 106 & -150 & 182 & 969 & -262 & 141 & -60 & 476 & -183 & 535 & -503 & 139 & 547 & -630 & 107 & 117 & 160 & 394 & -99 & 106 & 131 & 317 & 123 & -114 & 197 & -136 & -208 & 118 & -4 & -58 & -24 & 98 & 96 & 966 & 243 & -13 & -172 & 146 & -524 & 501 & 71 & 71 & 269 & 320 & 228 & -468 & 92 & 634 & 219 & 118 & -84 & -1335 & 406 & 37 & 182 & 95 & 67 & 106 & 34 & 8 & 529 & 380 & -35 & 745 & 371 & 89 & 529 & 38 & 33 & 544 & 149 & 66 & 73 & 1370 & 8 & 181 & -30 & 380 & -212 & 470 & 182 & 176 & -27 & 371 & 13 & 56 & 154 & 96 & 2219 & 327 & 1511 & -176 & -42 & 175 & 34 & -51 & 514 & 94 & -241 & 95 & -257 & 342 & 584 & 367 & 156 & 210 & 441 & 7896 & -13 & -171 & 937 & 38 & -16 & 49 & -26 & 160 & -55 & -113 & 255 & 102 & -8 & -395 & 103 & -47 & 4 & 26 & -131 & 38 & 89 & 24 & -265 & -194 & 235 & 11 & -366 & 106 & 388 & -120 & -138 & 239 & -8 & 30 & 785 & 34 & 1627 & 70 & -584 & 203 & 341 & 312 & 897 & 2918 & 2006 & -94 & 105 & -42 & 7432 & 131 & 233 & 167 & 366 & -88 & 63 & -341 & -5 & 141 & 335 & -111 & 689 & -297 & 1079 & 225 & 217 & 825 & 237 & 58 & -35 & 99 & -153 & 29 & 158 & 194 & -161 & 63 & 490 & 185 & 331 & 132 & 42 & 707 & -29 & -64 & 602 & 373 & 2445 & 253 & 23 & 33 & 1 & 66 & 13 & -38 & 305 & -736 & 118 & -96 & 56 & 557 & 463 & -35 & 727 & -95 & -374 & 228 & -154 & 420 & 81 & 298 & 258 & -1552 & -543 & 42 & 663 & 1733 & -363 & -59 & 327 & -423 & 27 & 123 & 394 & 51 & 9 & 638 & -387 & 70 & -73 & 66 & 436 & -94 & 37 & 873 & -1 & 488 & -1812 & 683 & -369 & 111 & -349 & -23 & 136 & 58 & 67 & 402 & -52 & -139 & 172 & -15 & -73 & 891 & 642 & 247 & 700 & 1570 & 306 & 967 & 228 & 152 & 918 & -241 & 67 & 262 & -44 & 160 & 33 & 167 & -37 & 12 & 241 & 27 & 508 & -522 & 351 & 1536 & 270 & 349 & -399 & -44 & 326 & 163 & 5 & 1248 & 272 & -561 & 16 & 277 & 1507 & 20 & 34 & 8 & 717 & 2557 & 428 & 1030 & -106 & 95 & 324 & -666 & -91 & -92 & 98 & 391 & 81 & 114 & 188 & 443 & 1183 & 923 & 76 & 22 & -576 & -1108 & 1061 & -100 & 129 & 257 & -23 & 71 & 128 & 44 & 23 & 41 & 85 & 56 & 1003 & 493 & 378 & 1194 & 240 & 64 & 103 & -998 & -193 & 53 & 241 & 161 & -290 & 282 & 20 & -244 & -174 & -82 & -669 & 431 & 425 & 998 & 175 & -342 & 736 & 147 & -17 & 348 & 156 & -62 & 26 & 116 & -103 & 190 & -123 & 507 & 584 & -533 & 15 & 391 & -71 & 142 & 282 & 501 & -121 & 305 & 822 & -37 & 16 & 124 & -128 & 85 & 392 & 423 & 4048 & 286 & 3260 & -192 & 157 & 27 & 1408 & 1101 & 1377 & 297 & 665 & -76 & 229 & 35 & 1368 & -24 & 353 & 127 & 24 & 341 & 1701 & 323 & -277 & 1364 & 3181 & -49 & 74 & 2250 & -30 & -240 & 237 & 150 & 916 & 335 & 294 & 394 & -327 & 716 & 211 & 824 & -747 & 215 & -225 & 840 & -754 & 4 & -30 & 1183 & 363 & 583 & 514 & 937 & 171 & -240 & -124 & 142 & 168 & -949 & 445 & -246 & 64 & 789 & 461 & 284 & -188 & -11 & 405 & 74 & 167 & -201 & 324 & -37 & -5 & 1002 & 551 & -176 & 459 & 264 & 157 & 161 & 23350 & -149 & 908 & -22 & 338 & 258 & 64 & -80 & 1183 & -331 & 121 & 1179 & 19 & -51 & 493 & 851 & -47 & 680 & 42 & 64 & 178 & 76 & 425 & 142 & 2079 & 60 & 82 & 894 & 73 & 70 & 10820 & 290 & 470 & 836 & 1560 & 826 & 396 & 2242 & 53 & 626 & 19 & 720 & -62 & 463 & 107 & 420 & 11 & 4713 & 311 & -1301 & 1371 & 779 & -190 & 69 & 0 & 80 & 481 & 691 & 425 & -214 & 100 & 436 & -71 & 44 & -70 & 613 & -504 & -6 & 52 & 315 & -221 & 2125 & -429 & 1708 & -377 & 17 & 147 & 110 & 124 & -152 & -15 & 107 & 80 & 1372 & 76 & 64 & 266 & 186 & 17 & -161 & 147 & 128 & 121 & 13 & -6 & -111 & 193 & 1038 & 412 & 709 & 147 & 1220 & 1103 & -175 & 470 & -98 & -327 & -17 & 33 & -66 & 550 & -160 & 1661 & -519 & 344 & 78 & 141 & 179 & 1462 & 167 & 12 & 514 & 11 & 15 & 12 & 56 & 759 & 454 & 420 & 277 & 117 & 12 & 102 & 35 & 924 & 84 & 49 & 1180 & 7998 & 510 & 517 & 31 & 111 & 329 & -69 & 110 & 106 & 99 & 35 & -88 & 192 & 147 & 15 & 859 & 73 & 181 & 27 & 17 & 51 & 94 & -80 & 1043 & 194 & -64 & 210 & 189 & 254 & -772 & -8 & 85 & -27 & 11 & -15 & -214 & -283 & 49 & -1078 & -73 & -73 & 746 & 98 & 420 & 13 & -45 & 797 & -44 & 833 & 64 & 105 & 142 & -132 & 2 & -9 & 208 & 1625 & -31 & -230 & 22 & 100 & -189 & 76 & 91 & -597 & 1034 & -109 & -323 & 30 & 3358 & -265 & 152 & 8 & -164 & 116 & -313 & -1068 & -8 & 128 & 229 & 414 & -13 & 103 & 121 & -41 & 131 & 367 & 1428 & 264 & -82 & 1092 & 82 & -228 & -582 & -26 & -362 & 12 & -23 & -197 & 1400 & 777 & 742 & -1 & 69 & -37 & -168 & 978 & 134 & 801 & 450 & 759 & -69 & 84 & 135 & 434 & 203 & 22 & 62 & 243 & -38 & -34 & 410 & 550 & 308 & 309 & 51 & 31 & 6 & 138 & -35 & 19 & 369 & 261 & 518 & 822 & -980 & -38 & 13 & 80 & 221 & 519 & 63 & 405 & -63 & 156 & 497 & 6 & 120 & 306 & -13 & 407 & -369 & 136 & 593 & -45 & 342 & 13 & -60 & 13 & 1289 & 121 & -51 & 550 & 449 & 6 & 582 & 74 & 577 & 94 & 868 & 246 & 8 & 44 & 53 & 230 & 132 & 429 & 490 & -58 & 105 & 77 & 1157 & 446 & 392 & -479 & 1132 & 963 & 743 & -338 & 1291 & -637 & 1179 & 6 & 413 & -100 & -221 & 0 & 344 & -233 & 2 & 24 & -497 & 99 & 114 & 85 & 717 & 859 & 273 & 217 & 156 & 329 & 1711 & 933 & -168 & 147 & 1349 & 74 & 33 & -44 & 283 & -174 & -222 & 526 & -26 & 52 & -33 & 460 & -42 & 124 & 67 & 1071 & -102 & -208 & 167 & 38 & -41 & 156 & -56 & 3940 & -228 & 486 & 158 & -128 & -17 & 389 & 157 & 927 & 978 & 781 & -15 & 288 & -161 & -35 & -49 & 185 & 389 & 315 & -335 & 70 & 261 & 270 & -206 & 1157 & 31 & 109 & 199 & 666 & 1059 & 439 & 69 & 1171 & -47 & 959 & -338 & 196 & 17803 & 312 & 811 & 192 & -77 & -420 & 16 & 956 & 265 & 1208 & -671 & 463 & 507 & 355 & 1024 & 96 & 129 & 438 & 142 & -1032 & 31 & 125 & -102 & -13 & 128 & -24 & -73 & 147 & 251 & -807 & 475 & -633 & 208 & 59 & -91 & 253 & 724 & 681 & 118 & 342 & 138 & 117 & 179 & -69 & -15 & 942 & 356 & 229 & 9 & -233 & 27 & 206 & -127 & 615 & 179 & 16 & 5 & 193 & -6 & 1258 & 42 & 41 & 170 & 105 & 196 & 16 & 20 & -167 & -128 & 4 & 164 & 196 & 320 & 670 & 73 & -59 & 8 & 37 & 317 & -504 & 486 & 749 & -183 & -156 & -294 & -128 & 84 & -19 & 181 & 113 & -45 & 551 & 96 & 329 & 949 & 139 & 360 & -29 & 269 & 501 & -80 & 582 & 81 & 154 & 82 & 743 & 348 & -160 & 197 & 1292 & -17 & 76 & -425 & 12 & -804 & -297 & -351 & -128 & -30 & 11 & 472 & 87 & -347 & -377 & 478 & 327 & 1706 & 244 & 100 & -695 & 124 & 248 & -528 & -175 & 746 & 40 & -107 & -35 & -154 & 388 & -35 & 714 & 176 & 460 & 113 & 42 & 74 & 305 & 261 & -56 & 286 & 60 & 208 & 197 & 457 & 207 & 87 & -1099 & 725 & 1209 & 179 & 229 & 275 & -116 & 2 & 446 & 431 & 23 & 200 & -2 & 351 & 633 & 145 & 89 & 74 & -78 & -301 & 1400 & -56 & 774 & -107 & 223 & 1003 & 506 & 1018 & 143 & -337 & 286 & 320 & 626 & -341 & -186 & 116 & -6 & -17 & 51 & 51 & 42 & 38 & 1007 & -178 & 1023 & 45 & -34 & 134 & 345 & 423 & 17 & 121 & 272 & 1349 & 33 & 230 & 64 & 291 & -94 & 1189 & 163 & 305 & 66 & -125 & 150 & 3012 & 221 & 27 & 217 & -134 & 871 & 35 & -315 & -11 & -16 & 172 & 167 & 985 & 27 & 161 & 167 & 172 & 9 & -9 & 413 & -13 & 2 & 2501 & 465 & 99 & 52 & 571 & -30 & 89 & -353 & 370 & 3005 & 1877 & -22 & -579 & 4866 & 525 & -407 & 2960 & 160 & -51 & 555 & 9 & 452 & 515 & 309 & 170 & -69 & 73 & 268 & 190 & 186 & 474 & -91 & -612 & 897 & -62 & 179 & 34 & 5093 & 59 & 5302 & -728 & 6520 & 5 & 2 & 59 & -33 & 15333 & 49 & -38 & -120 & -461 & 5 & 76 & 3749 & 1169 & 247 & 264 & 2340 & -49 & 4760 & 138 & 81 & -129 & 743 & 63 & 232 & 189 & 118 & 1204 & 435 & 526 & 3167 & -1526 & 24462 & 82 & 362 & -27 & -165 & -124 & 268 & 1005 & 5517 & 2266 & -369 & -113 & -347 & 105 & 335 & 1447 & 482 & 288 & 801 & 82 & 324 & 63 & -16 & -22 & -564 & 186 & 142 & -468 & 17 & -5 & 33 & 226 & -1236 & 37 & 52 & 23 & 80 & -53 & 1 & 53 & -145 & 92 & 45 & 179 & -240 & 566 & 27 & 275 & 17283 & 30 & 233 & 38 & 714 & 369 & 767 & 24 & 395 & 366 & -197 & 27 & 223 & -94 & -360 & 258 & -6 & 88 & 301 & 87 & 81 & 1248 & 1 & 179 & 3560 & 306 & 88 & -410 & 176 & -1548 & -67 & 149 & 514 & 139 & -34 & 153 & 2126 & 163 & 1823 & -1248 & 564 & 497 & 4804 & -76 & 1638 & -143 & -2 & -181 & 284 & 973 & 1682 & 548 & 42 & -31 & 156 & 774 & 416 & -42 & 98 & 268 & 60 & 1160 & -73 & -258 & 116 & -42 & 6848 & 1014 & -105 & 179 & 207 & 3359 & 489 & 42 & 942 & 1443 & 395 & -1230 & -63 & 2784 & -53 & 204 & 308 & 19110 & -63 & 113 & 25307 & 2303 & -229 & 1227 & 80 & 284 & 250 & 2534 & -34 & 1393 & 110 & -27 & -200 & -1761 & 800 & -31 & 165 & -56 & 1045 & 431 & -138 & 20899 & 367 & 56 & 1366 & 135 & 91 & -106 & -2 & 15 & -591 & -91 & 8363 & 4818 & -100 & 15 & 170 & 11 & 20 & -20 & 432 & -598 & 22 & 17 & -1 & -476 & 23 & 74 & -118 & -41 & -11 & -244 & -20 & 103 & 817 & -435 & 335 & 360 & 80 & 619 & -118 & 413 & 1205 & -282 & 7405 & 1999 & 254 & 17 & 4948 & 255 & -105 & 141 & 125 & -446 & 136 & 14267 & 382 & -87 & 230 & -11 & 74 & 12 & 518 & 471 & 129 & -40 & 459 & -96 & 146 & 369 & -143 & 24 & 89 & 199 & 612 & 605 & 273 & 23 & 70 & 98 & 1142 & 449 & 16216 & 2079 & -34 & -124 & -111 & 88 & 16241 & 129 & 1104 & 116 & -66 & 2767 & 1168 & -62 & 584 & -17 & -33 & 441 & 62 & 22200 & 10440 & 15 & 120 & 189 & 273 & 955 & 645 & 406 & 342 & -447 & 8418 & -80 & 124 & -117 & 460 & -63 & 40 & 47 & 5681 & 17 & -906 & -1 & 74 & -204 & 341 & -96 & 154 & 124 & 3090 & 417 & 251 & 168 & -116 & 13 & 176 & -88 & -105 & 182 & -439 & -88 & 1220 & 149 & 37 & 1576 & 3867 & 828 & 1088 & -20 & 300 & -123 & 873 & 5668 & 764 & -8 & 163 & -9 & -29 & 163 & -91 & 298 & 9 & 163 & 402 & 2014 & -34 & 331 & 500 & 145 & 447 & 385 & 67 & 223 & -69 & 503 & 1674 & 20 & 994 & 586 & 13145 & 1375 & -49 & -91 & 2 & 33 & 627 & -535 & 223 & 612 & 81 & 157 & 22761 & 106 & 257 & 147 & -13 & 111 & 59 & 771 & 528 & 344 & -774 & 51 & 645 & 232 & 797 & 297 & 826 & 8780 & -222 & 1903 & 76 & 9983 & 24 & 20 & -38 & -16 & 13 & -163 & 190 & 257 & 45 & -41 & 63 & 114 & 341 & 457 & 374 & 742 & -340 & 200 & -718 & -190 & 15 & -106 & 468 & 239 & 138 & 514 & 1237 & 288 & 566 & -193 & -40 & 8 & 78 & 88 & -24 & -40 & 510 & 22 & -248 & 23 & 116 & 105 & 21466 & -77 & 2000 & 77 & 327 & -35 & 258 & 1548 & -500 & 2871 & -208 & 136 & 56 & -102 & 4298 & -161 & 837 & 141 & 237 & 143 & 651 & 30 & -12 & 181 & -114 & -323 & 1270 & 341 & 21267 & 10080 & 298 & 2644 & 4073 & 464 & 837 & 416 & 360 & 880 & 1684 & 129 & 161 & 836 & -503 & -280 & 1093 & -16 & -49 & 141 & 85 & 70 & 2604 & 312 & 26 & 400 & 176 & -266 & 4084 & -233 & 1081 & 125 & 1800 & 409 & 344 & 16 & 305 & 158 & 1450 & 16 & -579 & -298 & 678 & -929 & 728 & 13698 & -116 & -20 & -77 & 12 & 1075 & -37 & 1364 & 678 & 114 & 293 & 349 & 80 & 261 & 164 & 1072 & 172 & 929 & 2629 & 634 & 47 & 302 & 102 & 388 & 794 & 380 & 102 & 4081 & 288 & -60 & 34 & 764 & 71 & 1211 & -111 & 44 & 595 & 1775 & 366 & 178 & 30 & -308 & 98 & 23 & 327 & 128 & 41 & -5 & 331 & 420 & 64 & 4 & -261 & 38 & 302 & 539 & 1634 & 223 & 913 & 351 & -35 & 51 & 66 & -197 & -188 & -275 & 2047 & 2220 & 13752 & -19 & -30 & 687 & 424 & 525 & -49 & 8518 & -114 & -152 & 248 & -60 & -9 & 268 & 203 & -241 & 116 & -294 & 70 & 2850 & 147 & 127 & 70 & 40 & 11261 & 4 & 1233 & 35 & -38 & 11265 & 1007 & 1263 & -8 & 111 & -179 & 2339 & -250 & 134 & 232 & 158 & -313 & 22 & 324 & 13 & 248 & 71 & 114 & 1065 & 1580 & 512 & -1269 & 447 & 123 & 365 & 676 & 439 & 944 & 19165 & 499 & 5981 & 378 & 371 & 189 & 233 & 586 & 146 & 80 & 279 & -102 & -396 & 52 & 31 & 2848 & 55 & 78 & 153 & 56 & 13 & -128 & 475 & 5 & 33 & 313 & 266 & -276 & 116 & 69 & 1544 & 1808 & -30 & 55 & 136 & 5 & 124 & -92 & 62 & 172 & 547 & -12 & 203 & 1153 & 291 & 170 & -293 & 287 & 16 & 120 & 168 & -64 & -206 & 20 & 345 & 223 & 106 & 37 & 156 & 56 & 1028 & -688 & -197 & 239 & -152 & 95 & -714 & -16 & 87 & -355 & 337 & 457 & 265 & 95 & -44 & 22 & -110 & 623 & 449 & 330 & 77 & 19 & 92 & -164 & -49 & -58 & 73 & 449 & 64 & 4 & 891 & 669 & -48 & 282 & 84 & 135 & -20 & 121 & -17 & -228 & 19 & 58 & 826 & -284 & -334 & 153 & 77 & 189 & -22 & 13 & 240 & 1999 & 201 & -811 & 20 & -363 & 920 & 259 & 418 & 189 & 548 & -33 & 376 & 276 & 109 & -100 & -270 & 658 & 183 & 330 & 51 & 113 & 569 & 84 & -47 & -66 & -8 & -13 & 1003 & 96 & 1233 & -99 & 1248 & 91 & 201 & 821 & 127 & 103 & 595 & 398 & 230 & 543 & 272 & 226 & -34 & 204 & 483 & 53 & 283 & -42 & 858 & 459 & -67 & -506 & 67 & 246 & -82 & -11 & 786 & 255 & 233 & 550 & -1027 & -15 & 52 & -134 & -52 & 674 & -499 & 124 & -62 & 67 & -1056 & 111 & 20 & 2 & -92 & -6 & 9628 & -20 & 671 & 211 & 171 & 24 & -51 & 92 & 147 & 136 & 517 & 1129 & -27 & 306 & 300 & 794 & 306 & -192 & 174 & -26 & 611 & 259 & 80 & -4 & 9 & 1838 & 499 & 825 & 441 & -262 & 616 & 84 & 228 & 96 & 341 & 87 & 70 & -356 & 42 & 266 & 300 & 1356 & 326 & 16 & -48 & 551 & 105 & 879 & 895 & 134 & 29 & -70 & 66 & -1 & 342 & -1 & 667 & 602 & -163 & 113 & 69 & -1381 & 506 & 521 & 304 & 734 & 363 & -66 & -217 & -326 & 930 & -116 & 568 & 139 & 833 & 16 & -319 & 385 & 190 & 1309 & 454 & 276 & 482 & -510 & -366 & 432 & -204 & -4 & 241 & 41 & 19 & 1180 & 1729 & -118 & -44 & 124 & 9176 & 546 & -153 & 100 & -185 & -29 & 818 & 623 & 51 & 6 & 94 & 143 & 91 & -103 & 19 & 973 & 204 & 67 & -2 & 23 & -49 & -84 & 29 & 463 & -728 & 356 & -100 & 320 & 26 & 1292 & -22 & -223 & 348 & 2 & -88 & 530 & -42 & 471 & -58 & 582 & 265 & 626 & 29 & 1259 & 1356 & 45 & -353 & -335 & 330 & -91 & 114 & 111 & -38 & 78 & -239 & 0 & 1001 & -295 & 160 & -80 & -77 & 855 & 120 & 0 & -4 & 51 & 228 & 290 & -347 & -486 & -134 & 67 & 201 & 913 & 223 & -48 & -23 & 124 & -40 & -103 & 41 & 76 & 37 & 2 & 8 & -348 & 1278 & 362 & -41 & -6 & 45 & 164 & 446 & -78 & 129 & 384 & -103 & 598 & 941 & -237 & 84 & -335 & -420 & 450 & 470 & 4 & 236 & 286 & 121 & 167 & 698 & -58 & 837 & -96 & 40 & -158 & 894 & -316 & 53 & -91 & 19 & 424 & 20122 & 1233 & -347 & 2198 & 319 & 124 & -175 & 461 & 91 & 194 & -182 & 30 & 282 & -210 & -594 & -62 & 275 & 1403 & -85 & 194 & -19 & -110 & 270 & 5694 & 337 & 258 & 40 & 22 & 129 & 1556 & 1418 & 2409 & -44 & 400 & 20 & 121 & 316 & 620 & 5274 & 417 & -525 & 67 & -31 & -5 & 10827 & 662 & 58 & 14149 & 521 & -117 & -564 & 37 & -8 & 156 & 825 & 490 & 3177 & 96 & 161 & 421 & 257 & 2622 & 443 & 333 & 1939 & -120 & -145 & 190 & 91 & -40 & 497 & 95 & 637 & 193 & 110 & -206 & 481 & 106 & -553 & 304 & 2625 & 82 & 2156 & 344 & -2 & -37 & -132 & 197 & 70 & -102 & 644 & 82 & 436 & 1114 & 70 & 620 & 323 & -2343 & 240 & -69 & 85 & 326 & 9 & 82 & 62 & 48 & 116 & 134 & 80 & 193 & 13803 & 3170 & 17 & 291 & -120 & 29 & 483 & -530 & 246 & -381 & -257 & 683 & 135 & -324 & 167 & 11698 & 244 & 324 & 392 & 797 & 100 & 181 & 105 & 1681 & 695 & -100 & 237 & -62 & -503 & -164 & -15 & 23935 & -290 & 1018 & 869 & -449 & 201 & -443 & 95 & 199 & -29 & -120 & -42 & 15 & -99 & -23 & -194 & -107 & 214 & -35 & -150 & -19 & 58 & -894 & -47 & -154 & 4 & 13260 & 33 & -584 & 1338 & 8808 & -110 & 275 & 156 & -6 & 866 & 88 & -91 & 10749 & 3121 & 17 & 587 & 326 & -136 & 2224 & 2094 & -120 & 447 & -22 & 2104 & 613 & 109 & 94 & 1071 & 154 & 543 & 60 & 142 & -427 & -143 & 663 & 356 & -709 & -38 & 665 & 12 & 182 & 1475 & 117 & 1240 & -684 & 26 & 99 & 88 & 45 & 553 & 123 & 52 & -69 & 1237 & 135 & 872 & 121 & 111 & 60 & 1234 & -8 & 23 & 71 & 147 & -2 & 153 & 139 & 486 & -223 & -30 & -283 & 41 & -6 & 2568 & -31 & 504 & 683 & 1641 & 193 & 77 & -96 & 80 & 568 & 11579 & -5 & 438 & 309 & 102 & -255 & 730 & 129 & 132 & 590 & 95 & 27 & 2310 & 251 & -80 & 4 & 84 & -223 & -193 & -29 & 280 & 38 & 38 & 48 & 1396 & -30 & -9 & 241 & 246 & 207 & 52 & 714 & 247 & 70 & 6 & 225 & -110 & 261 & 49 & 53 & 9 & 235 & 113 & 428 & 747 & -37 & -609 & 9 & 124 & 380 & -179 & 204 & 170 & 1813 & 3851 & -24 & 750 & -117 & 796 & 59 & -142 & 154 & 62 & -1 & -127 & 37 & 9 & 164 & 1 & 45 & -546 & 35 & 16 & 63 & -2 & 329 & 391 & 417 & 66 & 63 & 850 & 132 & -27 & -432 & -8 & 35 & -55 & -6 & -178 & -5 & 1269 & 53 & 201 & -16 & 189 & 58 & 11 & 190 & -30 & 2380 & 1165 & 111 & 908 & 134 & 12 & 12 & 927 & 384 & 199 & -80 & 228 & 31 & -31 & 179 & 765 & -63 & 70 & 269 & 70 & 95 & 55 & 24 & -92 & 4836 & -17 & -91 & 51 & 1151 & 663 & -78 & 20 & 355 & 52 & 78 & 141 & -171 & 20 & 1807 & 192 & 131 & -17 & 51 & 6575 & 348 & 49 & -8 & -88 & 63 & 127 & 326 & 175 & -35 & -123 & -1106 & 330 & 201 & 2008 & 77 & -60 & 55 & 56 & 102 & 225 & 2 & 1313 & 327 & 63 & 796 & 154 & 99 & 2899 & 66 & 1190 & 27 & 1172 & 58 & 568 & 51 & -4 & 1757 & 541 & -5 & -120 & -2 & 123 & 251 & -167 & 63 & 52 & -9 & 616 & 67 & -341 & 2003 & 125 & -47 & -345 & -494 & 1425 & 10744 & -402 & -200 & 38 & -85 & 24 & 33 & -270 & -163 & -94 & 1164 & 134 & 200 & -16 & 2447 & 161 & 2163 & -59 & 840 & -13 & -125 & -81 & -41 & 109 & 1489 & 44 & 146 & -459 & -29 & 333 & 323 & -85 & -9 & 378 & 669 & 593 & 897 & 1010 & 551 & 8 & 67 & -2036 & 406 & -64 & -33 & 11483 & 89 & -2 & 94 & 311 & 35 & 273 & 577 & 688 & -129 & 16646 & 670 & -15 & 78 & 550 & 99 & 35 & 297 & -229 & 85 & -13 & 5 & 118 & 81 & -45 & 176 & 1299 & 2875 & 218 & 13 & -394 & 17 & 4 & -284 & 98 & -483 & -22 & 128 & 127 & 124 & 58 & 1140 & -49 & 31 & 51 & 107 & -219 & -1 & 335 & -118 & -2 & 40 & 269 & -111 & 1104 & 149 & -38 & 1057 & 118 & 1 & 53 & -157 & 188 & -24 & -4 & 324 & 15 & -71 & -439 & 2416 & -100 & 120 & 1 & 822 & 794 & 0 & -136 & 515 & 562 & 185 & 291 & 659 & 1825 & 971 & 1162 & 1309 & -800 & -170 & -23 & 73 & 2700 & 102 & 53 & 127 & 92 & -1219 & 37529 & 398 & 653 & -71 & 246 & 48 & 125 & 190 & 127 & 1035 & 141 & -60 & 333 & 298 & 529 & -24 & 1061 & 441 & 1688 & 532 & 431 & -19 & -24 & 633 & 222 & -258 & -138 & -134 & -308 & 24 & -120 & 143 & -4974 & -478 & -384 & 562 & 835 & -396 & -208 & 1 & 2709 & 243 & -94 & 170 & 70 & 232 & 116 & 576 & 185 & -29 & 2284 & 163 & -485 & -331 & -165 & 818 & 2296 & 308 & -145 & -377 & 2314 & 81 & 1 & 17323 & -204 & 359 & 29 & 1269 & 12046 & 940 & -35 & -52 & 251 & 268 & -265 & 239 & 70 & -64 & 512 & 463 & 14947 & 13481 & 26 & 84 & -105 & 20 & 253 & 598 & -5 & 127 & 196 & 1630 & 208 & 1447 & 488 & 770 & -193 & -16 & -714 & -406 & 382 & 341 & 20 & 125 & 113 & 41 & -1060 & 272 & -38 & -143 & -89 & -118 & 94 & 562 & 0 & -16 & -89 & 37 & 13 & -301 & -15 & -1023 & 91 & 283 & 2105 & 82 & 222 & 541 & 30 & 40 & 45 & 837 & -183 & 417 & 207 & -15 & -53 & 557 & 322 & 11 & -31 & -47 & -266 & -554 & -164 & 53 & 262 & 768 & 2138 & 5150 & 1652 & 8075 & -869 & 31 & 59 & 225 & 99 & 5 & 963 & -223 & 123 & -240 & 222 & 214 & 26 & -335 & 176 & 212 & -138 & 359 & -153 & -250 & 161 & 2516 & 20 & 814 & 160 & 352 & 132 & 481 & -229 & 323 & 6478 & 131 & 11 & -87 & 557 & -880 & 250 & -385 & 76 & 78 & 118 & 218 & 149 & 23 & 74 & 179 & 2068 & 835 & 181 & 420 & -22 & 288 & 217 & 69 & -69 & 76 & -19 & -3072 & 153 & 351 & -26 & 55 & 105 & -248 & 612 & 15 & -421 & -2017 & -689 & 273 & 799 & -150 & 1154 & 833 & 29 & 66 & -340 & -11 & -250 & 127 & 60 & -100 & 1538 & 309 & 728 & 418 & 524 & 230 & 190 & -29 & 2897 & 161 & 12 & 51 & 237 & 13 & -24 & 558 & -82 & 3304 & 2188 & 0 & 42 & 135 & -125 & 1219 & 37 & 305 & 291 & -275 & -26 & -494 & 593 & -421 & 100 & -49 & -1650 & 208 & 142 & -316 & -161 & 226 & 206 & 18759 & 414 & 100 & 23444 & -13 & 103 & -17 & -300 & 735 & 2879 & 134 & -1371 & 2913 & -222 & 66 & 12425 & 5587 & 5723 & 4 & 1660 & 73 & 55 & 188 & -12 & -70 & 48 & 324 & 2014 & 96 & 5119 & 88 & 2113 & 199 & 2998 & 287 & 80 & 1078 & 569 & 98 & 35 & -2422 & 42 & 434 & 67 & -153 & 89 & 60 & -150 & 45 & 161 & 915 & 286 & 13 & 966 & 59 & 15 & 436 & 605 & -1001 & 158 & 15 & 418 & 1794 & 237 & 420 & 26 & 1285 & 872 & -87 & 78 & 35 & 4064 & 1880 & 1216 & 21202 & 26646 & 53 & 1725 & 467 & -131 & -55 & 66 & 586 & -123 & 754 & 27 & 2 & 1 & 218 & -56 & 147 & 360 & -1223 & 320 & 399 & 30 & 52 & 223 & 264 & 208 & 290 & -308 & 645 & 19003 & 1628 & 58 & 6 & 170 & -167 & 141 & 192 & -81 & 384 & 84 & -248 & -590 & -145 & 1154 & 911 & 132 & 254 & 447 & 23 & -358 & 941 & -197 & 819 & 517 & 100 & -157 & 66 & -1173 & 125 & 107 & 45 & 2217 & 40 & 141 & 1757 & -17 & -88 & -12 & -142 & 128 & 707 & 15 & -118 & -19 & 201 & 788 & 253 & 141 & 376 & 211 & 800 & -52 & 158 & 562 & -208 & 85 & -41 & -71 & -100 & -5 & 714 & -99 & 808 & 207 & 19 & -12 & -311 & 898 & 76 & 428 & -489 & -272 & 5 & -454 & 33 & -49 & 945 & 1291 & 1631 & 145 & 244 & -76 & -71 & 338 & 85 & -59 & -13 & 734 & -40 & 71 & 98 & -398 & 374 & 139 & -157 & 436 & 496 & 1312 & -49 & 150 & 363 & 536 & -6 & 145 & 326 & 559 & 179 & 913 & -465 & 41 & 730 & 291 & -89 & 312 & 333 & 349 & -27 & 203 & 58 & 89 & -138 & -113 & -279 & -633 & 189 & 22 & 241 & -342 & 94 & -229 & -16 & -293 & 53 & -2266 & 2290 & 265 & -95 & -19 & 67 & 351 & 412 & 10706 & 273 & 62 & 1819 & 355 & 164 & -483 & -203 & -44 & 1030 & 212 & 3733 & -73 & 15337 & 2 & -105 & 16101 & 313 & 229 & 135 & -465 & -11 & 499 & 34 & 1751 & -34 & -453 & 512 & 2552 & 306 & 19 & 129 & 222 & 1012 & 312 & -494 & -258 & -136 & 275 & 407 & -31 & 14536 & -13 & -181 & 609 & 76 & -52 & 1002 & 153 & -170 & 1162 & 315 & -172 & 34 & 470 & -33 & 2542 & 721 & 8509 & 5 & -64 & -145 & 44 & -105 & 193 & 1515 & 709 & -8 & 2285 & 2657 & 31 & 5117 & -678 & -56 & 2744 & 31 & 35 & -153 & -761 & 4045 & 11 & 638 & -117 & 378 & -640 & 967 & -64 & -1074 & 73 & 189 & -105 & 425 & 244 & 554 & 1034 & 153 & 290 & 1328 & -295 & -107 & 602 & 450 & 417 & 11 & 381 & 31 & 2349 & 2568 & 208 & 1 & 176 & 203 & 497 & 362 & 95 & 647 & 266 & 1193 & -6 & 29 & 326 & -175 & 49 & -1266 & 212 & -573 & -58 & 510 & 250 & -38 & -785 & -641 & 1697 & -116 & 594 & 3384 & 1006 & -488 & -110 & 91 & 11 & 67 & 284 & 1404 & -341 & -91 & 638 & 8765 & -95 & 900 & 59 & 0 & 156 & -254 & 235 & 2017 & 382 & 100 & 67 & 506 & 843 & 81 & 81 & 1070 & 304 & 136 & 683 & 38 & 963 & 763 & 576 & 64 & 250 & -141 & -145 & 59 & 11 & 959 & 3923 & 409 & 157 & -409 & -22 & -311 & 800 & 88 & -37 & 24 & 9 & -55 & 429 & 277 & 405 & 219 & 334 & -546 & -33 & -283 & 1096 & -284 & -439 & 2206 & 265 & 95 & -27 & 772 & 47 & 330 & 6 & 2730 & -103 & 70 & 11 & 105 & 641 & 67 & -38 & 56 & 82 & -371 & 6745 & 5 & 92 & 204 & 0 & -19 & 1045 & 313 & -277 & 2 & 170 & 955 & -217 & 2566 & 63 & 59 & 418 & 696 & -62 & 228 & 207 & 619 & -135 & 605 & 82 & 734 & 431 & 591 & 58 & -23 & 132 & -276 & -15 & 102 & 660 & -165 & 335 & 926 & 1144 & 385 & 641 & 282 & -15 & 522 & 132 & -208 & 91 & -230 & -157 & 31 & 2449 & 27 & 519 & 497 & 111 & 150 & 301 & 649 & -85 & 284 & -107 & 150 & 268 & 84 & -190 & 78 & -369 & 756 & 19 & 11265 & 10697 & -594 & 206 & 250 & 842 & -9 & 21475 & 95 & -12 & 24 & 41 & -317 & -244 & 135 & 524 & -45 & 905 & 250 & 228 & 481 & 29 & -210 & -20 & -40 & 56 & -2 & -53 & 59 & 1757 & 588 & -55 & -247 & -335 & 45 & -40 & 154 & 300 & 69 & 453 & 92 & -81 & 100 & 203 & 197 & -27 & 6 & -113 & -204 & 1018 & -418 & 31 & 203 & 261 & -712 & 633 & -194 & 178 & 138 & 622 & -22 & 85 & -414 & 297 & 152 & -118 & -29 & 441 & 1523 & -222 & 1079 & 1512 & 739 & 152 & -1744 & -117 & -279 & 8 & 254 & -73 & 1495 & 69 & 2682 & 305 & -268 & -167 & -149 & 29 & 142 & -551 & 395 & 608 & 237 & -121 & 948 & -904 & 775 & 258 & 128 & 176 & 1 & 369 & 1151 & 172 & 835 & 866 & 905 & 403 & 145 & -165 & 188 & 259 & -31 & 11 & 221 & -250 & 207 & 15468 & 743 & 1 & -30 & 103 & 221 & -63 & 269 & 1895 & 105 & 152 & 1110 & 1578 & 77 & -84 & 300 & 331 & -297 & 226 & 9 & -70 & 111 & 1074 & 226 & 705 & 141 & 55 & 15 & -12 & -38 & 1043 & 208 & -2 & -1017 & 45 & 116 & 554 & 208 & 4790 & 5775 & 20 & 11 & 781 & 12 & 6343 & 519 & 96 & 163 & -880 & 398 & 175 & 351 & 182 & 868 & 9 & 1050 & -194 & -235 & -417 & -311 & 94 & 338 & 1661 & 53 & 100 & 275 & -110 & -110 & -814 & 138 & -223 & 771 & 19 & -309 & -555 & 674 & 1128 & -164 & -110 & 109 & -264 & 106 & -13 & 19 & -174 & 4048 & -9 & 4 & -822 & 116 & -315 & 3403 & 456 & -703 & -525 & 1554 & 16600 & -91 & 503 & -889 & 373 & 539 & 142 & 239 & 1045 & 134 & -2 & 443 & 239 & 128 & 56 & 255 & 80 & -5 & 272 & 667 & 92 & 31 & 1064 & -89 & -532 & -35 & 360 & -69 & 465 & -13 & -261 & 77 & 919 & 12 & 472 & -41 & -62 & -1260 & -206 & 623 & 2266 & 305 & -3108 & 82 & -40 & 172 & 488 & 73 & 47 & -118 & 442 & 373 & 1 & 630 & 630 & 48 & 160 & 84 & 143 & 983 & 460 & 15662 & 2472 & -790 & 5323 & -12 & 73 & -23 & 48 & 702 & -95 & -1017 & -2148 & -905 & 824 & -232 & -1135 & 1171 & -70 & -1248 & 2640 & 70 & 48 & -615 & 2454 & -113 & -67 & -12 & 926 & 633 & 3585 & 2530 & -23 & 3159 & 385 & -204 & 4937 & 3864 & 6 & 240 & 206 & -29 & 9 & 10852 & -457 & -2741 & -4192 & -10481 & -698 & 237 & 669 & 851 & -142 & -59 & -52 & -211 & 410 & -400 & 3186 & 3925 & 10592 & 118 & -12 & 536 & 56 & 3522 & 1736 & 4057 & -62 & 100 & 179 & 123 & -463 & 4259 & 117 & 51 & 2635 & 371 & -161 & -9 & 127 & 232 & 890 & 1331 & 127 & 8291 & -70 & 89 & -37 & -824 & -29 & 66 & 653 & 436 & 5 & -257 & 463 & 494 & -139 & 326 & 35 & -55 & -74 & -16 & -258 & 508 & 901 & 566 & 186 & 1136 & -34 & -338 & -11 & 0 & 117 & 239 & 288 & 291 & 20 & 85 & -26 & -394 & 257 & 291 & 441 & 1751 & 1140 & -33 & -55 & 11284 & -20 & 0 & 13 & 80 & -27 & 259 & 77 & 125 & -721 & 51 & -1 & -42 & 1024 & 89 & 63 & 34 & -128 & 44 & -102 & -76 & 88 & -95 & -235 & 129 & 16028 & -98 & 287 & -158 & 117 & 291 & -105 & -76 & -4 & -44 & 254 & 199 & 117 & -41 & 117 & 100 & 183 & -9 & 605 & 4 & 179 & 135 & 429 & -69 & -129 & 40 & 95 & 384 & -74 & -12 & 0 & 1773 & 37 & -30 & 22 & 362 & 572 & 91 & -60 & 194 & 27 & 113 & 402 & 4609 & -345 & 522 & -116 & 334 & 420 & -284 & 649 & -22 & 107 & 19 & -147 & 335 & 1338 & -199 & -88 & 551 & -1 & 77 & 74 & 185 & 627 & 742 & -34 & 460 & 107 & 138 & -33 & 70 & -235 & 855 & 185 & 241 & 172 & -92 & 95 & 176 & -53 & -5 & 819 & 295 & -150 & -74 & -494 & 2358 & 237 & 277 & -22 & -8 & 44 & -280 & 80 & 92 & 23 & -31 & 1648 & 150 & -19 & 2791 & 2014 & 446 & -60 & 506 & -1616 & -602 & -76 & 254 & -13 & 81 & -164 & 12 & -114 & 160 & 201 & 250 & 223 & 327 & 246 & 3456 & 1056 & -154 & 139 & 146 & 30 & -674 & -127 & 815 & 521 & -88 & 222 & 131 & 869 & 2264 & -517 & -62 & 324 & 1215 & -99 & -190 & 59 & 645 & 74 & -172 & 20656 & 215 & 237 & 4227 & -17 & 161 & 9427 & 10929 & 2051 & -565 & 30 & 110 & 388 & -279 & 20 & -767 & -85 & 42 & 215 & 139 & 1220 & -212 & 348 & 9 & -489 & -49 & 598 & 1460 & 131 & 103 & 40 & 337 & 313 & 576 & 113 & -424 & -313 & 19 & -59 & 102 & 4095 & 302 & 194 & 800 & -26 & 337 & -167 & -214 & 131 & 301 & 120 & 63 & -9 & 42 & -149 & -56 & 0 & 519 & 280 & 481 & 186 & -770 & 478 & 374 & 363 & 547 & 20485 & 17102 & 1383 & 96 & 189 & 16180 & 19089 & 6 & 1038 & -131 & 37 & 355 & 15 & 179 & 87 & 77 & 192 & 235 & 95 & 189 & 243 & -189 & -3710 & 826 & 413 & 399 & 16 & 558 & 24 & 893 & 297 & 6 & 1971 & -42\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A matrix: 3 × 7129 of type dbl\n", "\n", "| | AFFX-BioB-5_at | AFFX-BioB-M_at | AFFX-BioB-3_at | AFFX-BioC-5_at | AFFX-BioC-3_at | AFFX-BioDn-5_at | AFFX-BioDn-3_at | AFFX-CreX-5_at | AFFX-CreX-3_at | AFFX-BioB-5_st | ⋯ | U48730_at | U58516_at | U73738_at | X06956_at | X16699_at | X83863_at | Z17240_at | L49218_f_at | M71243_f_at | Z78285_f_at |\n", "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", "| 39 | -342 | -200 | 41 | 328 | -224 | -427 | -656 | -292 | 137 | -144 | ⋯ | 277 | 1023 | 67 | 214 | -135 | 1074 | 475 | 48 | 168 | -70 |\n", "| 40 | -87 | -248 | 262 | 295 | -226 | -493 | 367 | -452 | 194 | 162 | ⋯ | 83 | 529 | -295 | 352 | -67 | 67 | 263 | -33 | -33 | -21 |\n", "| 42 | 22 | -153 | 17 | 276 | -211 | -250 | 55 | -141 | 0 | 500 | ⋯ | 413 | 399 | 16 | 558 | 24 | 893 | 297 | 6 | 1971 | -42 |\n", "\n" ], "text/plain": [ " AFFX-BioB-5_at AFFX-BioB-M_at AFFX-BioB-3_at AFFX-BioC-5_at AFFX-BioC-3_at\n", "39 -342 -200 41 328 -224 \n", "40 -87 -248 262 295 -226 \n", "42 22 -153 17 276 -211 \n", " AFFX-BioDn-5_at AFFX-BioDn-3_at AFFX-CreX-5_at AFFX-CreX-3_at AFFX-BioB-5_st\n", "39 -427 -656 -292 137 -144 \n", "40 -493 367 -452 194 162 \n", "42 -250 55 -141 0 500 \n", " ⋯ U48730_at U58516_at U73738_at X06956_at X16699_at X83863_at Z17240_at\n", "39 ⋯ 277 1023 67 214 -135 1074 475 \n", "40 ⋯ 83 529 -295 352 -67 67 263 \n", "42 ⋯ 413 399 16 558 24 893 297 \n", " L49218_f_at M71243_f_at Z78285_f_at\n", "39 48 168 -70 \n", "40 -33 -33 -21 \n", "42 6 1971 -42 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "golub[1:3, ]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Distances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pairwise distance between first 3 patinets" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " 39 40\n", "40 101530.75 \n", "42 94405.04 89502.29" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist(golub[1:3,])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " 39 40 42\n", "39 0.00 \n", "40 101530.75 0.00 \n", "42 94405.04 89502.29 0.00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist(golub[1:3,], diag = TRUE)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " 39 40 42\n", "39 0.00 101530.75 94405.04\n", "40 101530.75 0.00 89502.29\n", "42 94405.04 89502.29 0.00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist(golub[1:3,], diag = TRUE, upper=TRUE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Manual calculation\n", "\n", "Euclidean distance is just the n-dimensional application of Pythagoras theorem.\n", "\n", "If we have points $x = (0,0)$ and $y = (3, 4)$, then the distance between $x$ and $y$ is \n", "\n", "$$\n", "\\sqrt{(3-0)^2 + (4-0)^2} = 5\n", "$$\n", "\n", "We write a vectorized calculation of the above." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "distance <- function(x, y) { sqrt(sum((x - y)^2))}" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "101530.75" ], "text/latex": [ "101530.75" ], "text/markdown": [ "101530.75" ], "text/plain": [ "[1] 101530.8" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x <- golub[1,]\n", "y <- golub[2,]\n", "round(distance(x, y), 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ordination" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MDS" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "mds <- as.data.frame(cmdscale(dist(golub), k = 2))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
  1. 72
    2. \n", "\t
  2. 2
    3. \n", "
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 72\n", "\\item 2\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 72\n", "2. 2\n", "\n", "\n" ], "text/plain": [ "[1] 72 2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dim(mds)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "phenotype <- Golub_Merge@phenoData@data$ALL.AML" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "mds <- mds %>% mutate(phenotype=phenotype)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 6 × 3
V1V2phenotype
<dbl><dbl><fct>
23228.24839-10207.142ALL
7327.10741 -8114.544ALL
-5088.36719 -2548.717ALL
46738.68452 -8792.756ALL
-39906.71218-23179.919ALL
-37.91955 -9771.907ALL
\n" ], "text/latex": [ "A data.frame: 6 × 3\n", "\\begin{tabular}{r|lll}\n", " V1 & V2 & phenotype\\\\\n", " & & \\\\\n", "\\hline\n", "\t 23228.24839 & -10207.142 & ALL\\\\\n", "\t 7327.10741 & -8114.544 & ALL\\\\\n", "\t -5088.36719 & -2548.717 & ALL\\\\\n", "\t 46738.68452 & -8792.756 & ALL\\\\\n", "\t -39906.71218 & -23179.919 & ALL\\\\\n", "\t -37.91955 & -9771.907 & ALL\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 6 × 3\n", "\n", "| V1 <dbl> | V2 <dbl> | phenotype <fct> |\n", "|---|---|---|\n", "| 23228.24839 | -10207.142 | ALL |\n", "| 7327.10741 | -8114.544 | ALL |\n", "| -5088.36719 | -2548.717 | ALL |\n", "| 46738.68452 | -8792.756 | ALL |\n", "| -39906.71218 | -23179.919 | ALL |\n", "| -37.91955 | -9771.907 | ALL |\n", "\n" ], "text/plain": [ " V1 V2 phenotype\n", "1 23228.24839 -10207.142 ALL \n", "2 7327.10741 -8114.544 ALL \n", "3 -5088.36719 -2548.717 ALL \n", "4 46738.68452 -8792.756 ALL \n", "5 -39906.71218 -23179.919 ALL \n", "6 -37.91955 -9771.907 ALL " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(mds)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ejwf20AAACtgWkenli2bNnBgwdnzZq1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\nuO+++24csdvt69ate+ONN5566infFwYAZnDggIqLlZgoSQ6HSkq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Pv1IpKirqL3/5i++Ku5GPWop17959//79bzVp7ty5kmw3/h4JmEhr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jj951112ff/75G2+88cknn+zatSs8PNw/DRA8eN9suMkAAAtGSURBVDHAK96pYEwO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\nAAAYBMEOAADAIP4/ulY5cq0/fJsAAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(mds$V1, mds$V2, type=\"n\")\n", "text(mds$V1, mds$V2, labels = mds$phenotype, col=as.integer(mds$phenotype))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PCA" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "pca <- as.data.frame(prcomp(golub, center=TRUE, scale=TRUE, rank=2)$x)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
  1. 72
    2. \n", "\t
  2. 2
    3. \n", "
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 72\n", "\\item 2\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 72\n", "2. 2\n", "\n", "\n" ], "text/plain": [ "[1] 72 2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dim(pca)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "pca <- pca %>% mutate(phenotype=phenotype)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 6 × 3
PC1PC2phenotype
<dbl><dbl><fct>
-5.829016 18.985914ALL
-8.364993 22.877479ALL
12.928473 -3.996856ALL
32.254056 -5.525024ALL
-4.218081-56.824360ALL
-65.275849 22.817599ALL
\n" ], "text/latex": [ "A data.frame: 6 × 3\n", "\\begin{tabular}{r|lll}\n", " PC1 & PC2 & phenotype\\\\\n", " & & \\\\\n", "\\hline\n", "\t -5.829016 & 18.985914 & ALL\\\\\n", "\t -8.364993 & 22.877479 & ALL\\\\\n", "\t 12.928473 & -3.996856 & ALL\\\\\n", "\t 32.254056 & -5.525024 & ALL\\\\\n", "\t -4.218081 & -56.824360 & ALL\\\\\n", "\t -65.275849 & 22.817599 & ALL\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 6 × 3\n", "\n", "| PC1 <dbl> | PC2 <dbl> | phenotype <fct> |\n", "|---|---|---|\n", "| -5.829016 | 18.985914 | ALL |\n", "| -8.364993 | 22.877479 | ALL |\n", "| 12.928473 | -3.996856 | ALL |\n", "| 32.254056 | -5.525024 | ALL |\n", "| -4.218081 | -56.824360 | ALL |\n", "| -65.275849 | 22.817599 | ALL |\n", "\n" ], "text/plain": [ " PC1 PC2 phenotype\n", "1 -5.829016 18.985914 ALL \n", "2 -8.364993 22.877479 ALL \n", "3 12.928473 -3.996856 ALL \n", "4 32.254056 -5.525024 ALL \n", "5 -4.218081 -56.824360 ALL \n", "6 -65.275849 22.817599 ALL " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(pca)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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90GAL/6FTB0d/XsWQA4eBAA7r3Xa/zdd2P9ely+DAAPPOA+hzFtmv6vzK9/HZcv\n4+RJ1NVh5Ur37qU//9n90FTXgFW3wRUUFGCq75dFTskVg5tMN7DWVvzsZ7h8WX8l+DOfUdvT\nAcDy5V6t5wD/9nTIzdXGVFRUlH/ySWtLi9ah7kBnpwT88Ac/iPD2dLGJwY6IjEXbP75+Pe6+\nG++/7w55GzcCQHo6ysogy3j//eGnSBIAdHWhowO/+x1mzXKv7b3+OgB8+cu4eNF9JFbV04MD\nBwBg+nSYTDCbMTioXwP2619HXBzi4vDJJ8PLIepiYRBOswZpG9xdd9119OjR2bNn65ZcYfWy\nqRSR3cAY66MLT8USkYGou4jS092nAn0OCf7ylzh2DP/rf8FiQXW173Mlyb1//NFH8fzz6Ohw\np7f4eFRVuZfoVBUV+OST4b/KMtrbAWDXLnzxi17v87OfxZIlcLkQF+fetDcwAPWcZlKS1ztx\nudznLVwuaBU68vN9D9sGpm6Dy8/P99wGt2PHjtOnT8+bN2+M78Rfd3d3W1sbgHPnzn3zm9/0\nPE+qllyZ8HuOaiMcPR7hZPHoA3y6ga1bB0WB/9Fj7TR3Y6N7RRl+9XSmiFZJcZF3CZX29vbq\n6uqmpqaQFdyhMeKKHREZiLp/XN0h5xPyAMiy+6LJhC98AYBXXLv9dvf+8cJC9yFBLXh5blR3\nufDDH7r//N3vQpJQWOj+q+4Chrr6Mjg4XAP2ww91hjU34xe/cP9B3bo0zt1LQdoGt337diHE\nF7/4Rf+ixCaTSa3D0tfXN5l/IuoEqwNHRHYDYy+QqMNgN0WC0WucNy8otk2kLamawGTZ4XCs\nuvrq4ZCnUgsCq7+KMjIAuLccqdSVj0ceGT4keOON7odaW7Fnj/vPzc344APff/eWW3DTTThx\nAnv34tAh391Lg4PuGrCA+xTFxx8Pj/na19xbl9RcWFys7WQa1+6lYNwvE0K8+OKLAFatWqVW\nL+v33vKlruKoVVRUPrVUampqALzvcePbZ8C4Sq5EiGB14AhmN7CJYS+QaMRbsVPB53S67q0T\n9XS6WqfUh9qGcsQ6pUSxxmdRZKwVZT2Cmrvtl2ewM5mG9yQVF6OiAocODT9611340Y+GnlwA\nlwtPPeX1WxZATQ0aGlBejtJSPPXU8HVtae3nP8c//qPvD4Gx1YCdjCDdL9u/f//Zs2cByLJ8\nzTXX+BclNpvNTqezs7NTu6JbE/gDjygc7UWDg9iBQzvN7cNud+8Q9VFQAKcTu62Aa2UAACAA\nSURBVHdj7dpRu4FNDHuBRCMGu6mgnU7PzoaiQLfRinY63Wezi9Zr3HNrNlHM0xZFJty/6C6g\nuLj46QC1QrxCnnpI0JMsw+eXWW4ucnNx8SIeeQTp6SgsHL4Dq1m0CMeO4f77df45mw3PPjty\nDdjJCFLnMfU0xp///OdZs2bJsrxu3TpFUTyDXXJyMoBHH30UgNVqtVqtPu9B3U922223BRoQ\ndYLVgSPI3cAmhr1AohFvxU7aZE6nw7vXOBEB0FsU6df9tgo9zz18/rQ9fP7GUAPWzeVy1331\nfBvxTmWQ7pexKLGuYHXg8DzN7fmm1tPR/SfUleCDB90rwVo9nanDXiDRiCt2k+bZa1xrQ+n/\n6k07nb5xo7u2gio4p9OJoloI2pJO0NAePv1HLRYUFkJRfG/gqtTbu6Mu1zU3w29JA6mpIxyP\nDdL9so6Ojr6+vo8//lj9j8jPz1+9evX27dt37dq1UffOYAwI0tFjnYM+GrWeTm0ttm2Dd1Ng\nIOgrwRSNGOwmLfJOpxNFO59FEf87gGHjedjC38Ru72qsVkzoTmVQ75dVVlaqfygpKVH/YLfb\nYzbY6R49noKwO+pKcGEhnE6dFwzqSrDLNaaVYL80P656OhQtGOwmRz2dnp/vdTp9xw6dvXQA\nVqzAhg0oLx8OdtrpdM8i+ESxLViLIsbVOmLcVO+XqX8edZebNqCtrS0jI4PVy3xoR499rk82\n7EbkSjBFKQa7ydE9nb59O3bt0jnE5Hk6ffbsIJ1OJ4p2wVoUiTo5OaivR1oa/ErgorbWXbrl\n5Zf1z9prdwZqatw3EBwO2GwoLkaAqrk+gnQaI6oFsVRvRK4EU5Ti4YnJ8ew1rr6pbSgDFY4q\nKMCVK8N1SoNwOp0osoy/xKO2KHLv0LfV/6vVY4udEo8+RZR0qUWUdKlFlCaK1ct0sVQvRQWu\n2E1CRJ5OJ4og4y/x6LkoklNVJX7/e2lwcOXKlXF9fdXV1X/4wx++FNIPIHzCWkSJ1cv8jSXs\nbtu2bab/+Qai0GKwmwSfNpSaU6dQXQ1F0Ql2wa9TShRBxp9Ohu8AJifj+9/HokVoa1u6dOlC\ns7m6urq5uTkmgp1/EaXSUviXwF26FC0tcDiwaZPXda2I0kSDHauX+WPYpWjBVDFRPJ1ONLLx\npxOvRZEdOzzTiboo0tHRobd73HDCXUQpGKcxoh3DLkULBruJ4ul0opGNP514LYr4pRNZlt9q\nb/d8asA1j6Iia339bcCTfgNu+8MfHnrlFSCIxw6mAIsoRR6GXYoagSpBk6alpQVAX1+f19WM\nDAGIri7953R1CUBkZAghRE2NAERNzfCjTqcAxI4dw1f27PEaY7cLQP9tz56p/NiIgkeWRWKi\n+OgjIYS4dEkkJYnsbK8B2rfG1q0CEL/6VUZGBoCuri7x9tsCEM895/mt0dXVZVW/C4qLR2hs\nv+8//1PExV2YPVsA/q+BlqvvISFB3H+//rRXrhTx8Trfj8XFQfxceTp7VkyfLmy24Str1oj4\neNHdPXxF+9Spg/Pyhh966imRkCDef1//p0rIPgoKsuzsbABpaWn+D6nfHcWB/69HHUCj6uvr\nA9DS0hLuiejgqdiJam2FEBi5DaX6Ck89ne75aluWIYTXYl5urtcYqxVC6L+x9QpFBbXEoyx7\nlXh0uaDbjWrFCkyfjvLy4f5FWolHDyaTSctzI7QnWnr2LAYHE/fsgSQdWrfO59GamhrAY2Of\nD+3YQRjpFlEaGMCuXTqDPYsoASyiFCO6u7sbGhpSUlI6OzsPj9hujmIQgx0RBUG40okBejez\niBKNRlGUwcHB8vJySZJYZoV8MNgRURCEK52oG/sKCgDAZkNPD+rqdIZpG/t8ar2GvXezVkSp\nrMzrTZZx4gSamnSeohVRAlhEKRYIIex2u9lszsrKyszMrKys7Nd99UKxiocniGiqhbHEY7Qf\nO2ARJRrN/v37u7q6ioqKANhsNqvVWldXFxGdlCkycMWOiKaalk7Wr/d6Ky0FAN07R2o6OXjQ\nnU5WrpxIOpnQxr7hK3ob+0JqLEWUdPs92GyIi2MRpRhRXl6emJiYl5cHQJblpKQk3o0lTwx2\nRDSlwphOov3YwahFlNTPrT+1iNIbb4ypiFJRke8bd99Hj56enn379smyPGvWLAAzZszIy8tz\nuVyndV+9UEziij0RTakwlnjUNvb5sNuxcaPO+ykogNOJ3buxdm1EHDtQ5x/oU2exoLAQiqLz\nqQNQUACXa/T5NzfDryguUlNZHTNaVFRU9PX1rfL4Gli9evX27dt37dq1UfeLnGIPgx0RTalw\npZPExKjv3TxiCVx3ESWVWkTJkyz7fs5zc72qI1mtMGJR3JycnPr6+rS0tI6ODp+HHA6HzWYr\nLi5+OkBl6VEHRCC1AcZiv1cvdrudwY5UDHZENKXClU5WrwZ47CC2+JRzM3wzrra2tqNHj1os\nlkXer17a29urq6ubmpoy/b/IQy7WonYE4h47IgogJweShPR0nYdqa91FTPbu1X9uY6N7QG2t\n+4rDAUnCli1BmSqPHcSkWCvnpi7XlZSUrPdWWloKIBI+A6ycHAkY7IhIT3c3GhqQkoLOzoCb\n6xMS3Dde/dntiI8P3ux88dhB7Im1cm4XL150Op3p6enz/V69mEwms9lcW1vbq/vqJYRiLWpH\nJt53ICI9ioLBQZSXIzsbioKtW3XGaI255s3zuq415mprC81keewgBsVaObeqqqre3l45wBe5\nLMuFhYVOp1M7V+FyuS74nTHKz8/XbliPOmC8/KN2aWnptGnTJvbeaOKC2IfWKFpaWgD09fWF\neyJEoTI4KK6/XpjNQghxzz0iOVn4fP2rTehLSgQgtmzxffrPfiYAsXkzm9BT8MiynJiY+NFH\nHwkhLl26lJSUlJ2d7Tlg1Fb3ow6IKJ/5zGcA3Hbbbf4PaT2UMzIyPP/qb8+ePWMZMDEulwvA\n9u3bRXa2ADqAGu3bf2ieywGhvr38su4H8nVtQGT/6Ojr6wPQ0tIS7ono4K1YIvIT7Y25yOhi\nrZxbd3f3+fPnU1JSjhw5EmjvWnFxcWtrKwCr1erzm16LsLm5uboDNLmeZ5XGSa2c/NA996Ch\nQcyblwY0/sd/6A8NvIvDBog4JpNJ4aePiPz4NOZKStJvF6E25jp5Eo2NwxfVxlw2Wzgbc5HR\n6ZZzGxgY2KVbjDr6Rf7eNS1qX11djcFBaedOAXyppUU/amu7OLx96vLlbwN/9tnaQePEYEdE\n3qK9MRfFAK2cmzQkLS0NwAg3GaOXiIZjIu6oXVAAux1mM7KyLqalPSREpW4MXboUAwNwOHwu\nz//d7z4N/PeNN4ZgwgbGYEdE3qK9MRcZnVbOrcybLMsnTpxoamoK9wSnmHpMpKCgAIDNZuvp\n6anT3RoRVmrU3nz33ejqWtPeLknS2s7OZKD7pz/VGR1gF8eNb7zxFnD2c58LzZyNiqdiichb\ntDfmIqPTyrn5FP44depUdXW1oiiRUKd3Cql71/Ly8gDIsrxu3TpFUSLq/K8WtYvfeefjt9++\n5bvfLbvqqoSPP770/e/nvP++TuVkdRfHE0+gsRH33uu+ePz4506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sxOHD+rt6ExKwc6d+sLPbER+PgYFgT5Mo2o23nJ7u8t727dtbdBsN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\nAEji/wD9d6icp2MRxQAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(pca$PC1, pca$PC2, type=\"n\")\n", "text(pca$PC1, pca$PC2, labels = pca$phenotype, col=as.integer(pca$phenotype))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preserving the distances" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scale to have zero mean and unit standard deviation" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "scexpdat <- scale(golub)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
  1. 72
    2. \n", "\t
  2. 7129
    3. \n", "
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 72\n", "\\item 7129\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 72\n", "2. 7129\n", "\n", "\n" ], "text/plain": [ "[1] 72 7129" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dim(scexpdat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check " ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\t
AFFX-BioB-5_at
\n", "\t\t
-7.84141692068388e-17
\n", "\t
AFFX-BioB-M_at
\n", "\t\t
-4.46028727069731e-18
\n", "\t
AFFX-BioB-3_at
\n", "\t\t
1.49183207261304e-17
\n", "\t
AFFX-BioC-5_at
\n", "\t\t
-5.05117745470191e-17
\n", "
\n" ], "text/latex": [ "\\begin{description*}\n", "\\item[AFFX-BioB-5\\textbackslash{}\\_at] -7.84141692068388e-17\n", "\\item[AFFX-BioB-M\\textbackslash{}\\_at] -4.46028727069731e-18\n", "\\item[AFFX-BioB-3\\textbackslash{}\\_at] 1.49183207261304e-17\n", "\\item[AFFX-BioC-5\\textbackslash{}\\_at] -5.05117745470191e-17\n", "\\end{description*}\n" ], "text/markdown": [ "AFFX-BioB-5_at\n", ": -7.84141692068388e-17AFFX-BioB-M_at\n", ": -4.46028727069731e-18AFFX-BioB-3_at\n", ": 1.49183207261304e-17AFFX-BioC-5_at\n", ": -5.05117745470191e-17\n", "\n" ], "text/plain": [ "AFFX-BioB-5_at AFFX-BioB-M_at AFFX-BioB-3_at AFFX-BioC-5_at \n", " -7.841417e-17 -4.460287e-18 1.491832e-17 -5.051177e-17 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "apply(scexpdat[, 1:4], 2, mean)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\t
AFFX-BioB-5_at
\n", "\t\t
1
\n", "\t
AFFX-BioB-M_at
\n", "\t\t
1
\n", "\t
AFFX-BioB-3_at
\n", "\t\t
1
\n", "\t
AFFX-BioC-5_at
\n", "\t\t
1
\n", "
\n" ], "text/latex": [ "\\begin{description*}\n", "\\item[AFFX-BioB-5\\textbackslash{}\\_at] 1\n", "\\item[AFFX-BioB-M\\textbackslash{}\\_at] 1\n", "\\item[AFFX-BioB-3\\textbackslash{}\\_at] 1\n", "\\item[AFFX-BioC-5\\textbackslash{}\\_at] 1\n", "\\end{description*}\n" ], "text/markdown": [ "AFFX-BioB-5_at\n", ": 1AFFX-BioB-M_at\n", ": 1AFFX-BioB-3_at\n", ": 1AFFX-BioC-5_at\n", ": 1\n", "\n" ], "text/plain": [ "AFFX-BioB-5_at AFFX-BioB-M_at AFFX-BioB-3_at AFFX-BioC-5_at \n", " 1 1 1 1 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "apply(scexpdat[, 1:4], 2, sd)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using `dplyr`" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\n", "
A data.frame: 1 × 4
AFFX-BioB-5_atAFFX-BioB-M_atAFFX-BioB-3_atAFFX-BioC-5_at
<dbl><dbl><dbl><dbl>
0000
\n" ], "text/latex": [ "A data.frame: 1 × 4\n", "\\begin{tabular}{r|llll}\n", " AFFX-BioB-5\\_at & AFFX-BioB-M\\_at & AFFX-BioB-3\\_at & AFFX-BioC-5\\_at\\\\\n", " & & & \\\\\n", "\\hline\n", "\t 0 & 0 & 0 & 0\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 1 × 4\n", "\n", "| AFFX-BioB-5_at <dbl> | AFFX-BioB-M_at <dbl> | AFFX-BioB-3_at <dbl> | AFFX-BioC-5_at <dbl> |\n", "|---|---|---|---|\n", "| 0 | 0 | 0 | 0 |\n", "\n" ], "text/plain": [ " AFFX-BioB-5_at AFFX-BioB-M_at AFFX-BioB-3_at AFFX-BioC-5_at\n", "1 0 0 0 0 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "as.data.frame(scexpdat) %>% \n", "select(1:4) %>%\n", "summarise_all(mean) %>%\n", "round" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\n", "
A data.frame: 1 × 4
AFFX-BioB-5_atAFFX-BioB-M_atAFFX-BioB-3_atAFFX-BioC-5_at
<dbl><dbl><dbl><dbl>
1111
\n" ], "text/latex": [ "A data.frame: 1 × 4\n", "\\begin{tabular}{r|llll}\n", " AFFX-BioB-5\\_at & AFFX-BioB-M\\_at & AFFX-BioB-3\\_at & AFFX-BioC-5\\_at\\\\\n", " & & & \\\\\n", "\\hline\n", "\t 1 & 1 & 1 & 1\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 1 × 4\n", "\n", "| AFFX-BioB-5_at <dbl> | AFFX-BioB-M_at <dbl> | AFFX-BioB-3_at <dbl> | AFFX-BioC-5_at <dbl> |\n", "|---|---|---|---|\n", "| 1 | 1 | 1 | 1 |\n", "\n" ], "text/plain": [ " AFFX-BioB-5_at AFFX-BioB-M_at AFFX-BioB-3_at AFFX-BioC-5_at\n", "1 1 1 1 1 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "as.data.frame(scexpdat) %>% \n", "select(1:4) %>%\n", "summarise_all(sd) %>%\n", "round" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Agglomerative hierarchical clustering (AHC)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "names = c(\"ATL\", \"BOS\", \"ORD\", \"DCA\")\n", "airports <- c(0, 934, 585, 542, 934, 0, 853, 392, \n", " 585, 853, 0, 598, 542, 392, 598, 0)\n", "airports <- matrix(airports, ncol=4, byrow=F, dimnames = list(names, names))" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A matrix: 4 × 4 of type dbl
ATLBOSORDDCA
ATL 0934585542
BOS934 0853392
ORD585853 0598
DCA542392598 0
\n" ], "text/latex": [ "A matrix: 4 × 4 of type dbl\n", "\\begin{tabular}{r|llll}\n", " & ATL & BOS & ORD & DCA\\\\\n", "\\hline\n", "\tATL & 0 & 934 & 585 & 542\\\\\n", "\tBOS & 934 & 0 & 853 & 392\\\\\n", "\tORD & 585 & 853 & 0 & 598\\\\\n", "\tDCA & 542 & 392 & 598 & 0\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A matrix: 4 × 4 of type dbl\n", "\n", "| | ATL | BOS | ORD | DCA |\n", "|---|---|---|---|---|\n", "| ATL | 0 | 934 | 585 | 542 |\n", "| BOS | 934 | 0 | 853 | 392 |\n", "| ORD | 585 | 853 | 0 | 598 |\n", "| DCA | 542 | 392 | 598 | 0 |\n", "\n" ], "text/plain": [ " ATL BOS ORD DCA\n", "ATL 0 934 585 542\n", "BOS 934 0 853 392\n", "ORD 585 853 0 598\n", "DCA 542 392 598 0" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "airports" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " ATL BOS ORD\n", "BOS 934 \n", "ORD 585 853 \n", "DCA 542 392 598" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "as.dist(airports)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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0k9XHXw8/El8B4J9kQvJPXhGbFZ2wkJVkUwJKXmV/T6GyHBpkiGpN46oeUPCQkW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", "text/plain": [ "Plot with title “Cluster Dendrogram”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tree <- hclust(as.dist(airports), method=\"single\")\n", "plot(tree)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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6573WscIcFA8EKyrAP/3Z/CKEKCgSCG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\nJEABIQEKCAlQ8P9Zv66rAPrYggAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title “Cluster Dendrogram”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tree <- hclust(as.dist(airports), method=\"complete\")\n", "plot(tree)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Road-trip USA" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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f2GcHjU797/fp+B5YgSQUg2Q0hmWL8hZCbLHSKEkGyGkMywfkO4dEjoJPUsR5QI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\n9WxCAd0pRB/flKnJBVY248aTtrqMG0I6J5qV4/hfDp3S57ILG1G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QQIZ2+eL7updqC1PaOH0o9kBIIMN86tmE3hRiZfoMpw/FHggJZCi6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\n+AAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title “Cluster Dendrogram”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(hclust(UScitiesD, method=\"complete\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A trip to Europe" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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iFkRFqegA1LvtIfRIiQEUAkQxC+j4QQISOASIaQUeaaHOgPIkTICCCSIQjH2iFE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\nCUAkACTw/1uRFWzbfg3cAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title “Cluster Dendrogram”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(hclust(eurodist, method=\"complete\"))" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "eurotree <- hclust(eurodist, method=\"complete\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Find clusters by height" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 21 × 2
citygroups
<chr><int>
Athens 1
Rome 1
Barcelona 2
Geneva 2
Lyons 2
Marseilles 2
Milan 2
Brussels 3
Calais 3
Cherbourg 3
Cologne 3
Hook of Holland3
Paris 3
Copenhagen 4
Hamburg 4
Stockholm 4
Gibraltar 5
Lisbon 5
Madrid 5
Munich 6
Vienna 6
\n" ], "text/latex": [ "A data.frame: 21 × 2\n", "\\begin{tabular}{r|ll}\n", " city & groups\\\\\n", " & \\\\\n", "\\hline\n", "\t Athens & 1\\\\\n", "\t Rome & 1\\\\\n", "\t Barcelona & 2\\\\\n", "\t Geneva & 2\\\\\n", "\t Lyons & 2\\\\\n", "\t Marseilles & 2\\\\\n", "\t Milan & 2\\\\\n", "\t Brussels & 3\\\\\n", "\t Calais & 3\\\\\n", "\t Cherbourg & 3\\\\\n", "\t Cologne & 3\\\\\n", "\t Hook of Holland & 3\\\\\n", "\t Paris & 3\\\\\n", "\t Copenhagen & 4\\\\\n", "\t Hamburg & 4\\\\\n", "\t Stockholm & 4\\\\\n", "\t Gibraltar & 5\\\\\n", "\t Lisbon & 5\\\\\n", "\t Madrid & 5\\\\\n", "\t Munich & 6\\\\\n", "\t Vienna & 6\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 21 × 2\n", "\n", "| city <chr> | groups <int> |\n", "|---|---|\n", "| Athens | 1 |\n", "| Rome | 1 |\n", "| Barcelona | 2 |\n", "| Geneva | 2 |\n", "| Lyons | 2 |\n", "| Marseilles | 2 |\n", "| Milan | 2 |\n", "| Brussels | 3 |\n", "| Calais | 3 |\n", "| Cherbourg | 3 |\n", "| Cologne | 3 |\n", "| Hook of Holland | 3 |\n", "| Paris | 3 |\n", "| Copenhagen | 4 |\n", "| Hamburg | 4 |\n", "| Stockholm | 4 |\n", "| Gibraltar | 5 |\n", "| Lisbon | 5 |\n", "| Madrid | 5 |\n", "| Munich | 6 |\n", "| Vienna | 6 |\n", "\n" ], "text/plain": [ " city groups\n", "1 Athens 1 \n", "2 Rome 1 \n", "3 Barcelona 2 \n", "4 Geneva 2 \n", "5 Lyons 2 \n", "6 Marseilles 2 \n", "7 Milan 2 \n", "8 Brussels 3 \n", "9 Calais 3 \n", "10 Cherbourg 3 \n", "11 Cologne 3 \n", "12 Hook of Holland 3 \n", "13 Paris 3 \n", "14 Copenhagen 4 \n", "15 Hamburg 4 \n", "16 Stockholm 4 \n", "17 Gibraltar 5 \n", "18 Lisbon 5 \n", "19 Madrid 5 \n", "20 Munich 6 \n", "21 Vienna 6 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "groups <- cutree(tree = eurotree, h = 1500)\n", "data.frame(groups) %>% \n", "rownames_to_column(\"city\") %>% \n", "arrange(groups)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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L6+vk+ePDF1FQBKoZjpThYsWJCdnR0WFpaSknLq1ClpqYljx47t27cvPj4+Pj7+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FjoBYWlpSFMUwK54cQWAH7evVq1dKSkpW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\nBwAAAOAi/geVTb1fYOzb4QAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title “Cluster Dendrogram”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(eurotree)\n", "rect.hclust(eurotree, h=1500, border = \"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Find clusters by number" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 21 × 2
citygroups
<chr><int>
Athens 1
Rome 1
Barcelona 2
Marseilles 2
Brussels 3
Calais 3
Cherbourg 3
Cologne 3
Hook of Holland3
Paris 3
Copenhagen 4
Hamburg 4
Geneva 5
Lyons 5
Milan 5
Gibraltar 6
Lisbon 6
Madrid 6
Munich 7
Vienna 7
Stockholm 8
\n" ], "text/latex": [ "A data.frame: 21 × 2\n", "\\begin{tabular}{r|ll}\n", " city & groups\\\\\n", " & \\\\\n", "\\hline\n", "\t Athens & 1\\\\\n", "\t Rome & 1\\\\\n", "\t Barcelona & 2\\\\\n", "\t Marseilles & 2\\\\\n", "\t Brussels & 3\\\\\n", "\t Calais & 3\\\\\n", "\t Cherbourg & 3\\\\\n", "\t Cologne & 3\\\\\n", "\t Hook of Holland & 3\\\\\n", "\t Paris & 3\\\\\n", "\t Copenhagen & 4\\\\\n", "\t Hamburg & 4\\\\\n", "\t Geneva & 5\\\\\n", "\t Lyons & 5\\\\\n", "\t Milan & 5\\\\\n", "\t Gibraltar & 6\\\\\n", "\t Lisbon & 6\\\\\n", "\t Madrid & 6\\\\\n", "\t Munich & 7\\\\\n", "\t Vienna & 7\\\\\n", "\t Stockholm & 8\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 21 × 2\n", "\n", "| city <chr> | groups <int> |\n", "|---|---|\n", "| Athens | 1 |\n", "| Rome | 1 |\n", "| Barcelona | 2 |\n", "| Marseilles | 2 |\n", "| Brussels | 3 |\n", "| Calais | 3 |\n", "| Cherbourg | 3 |\n", "| Cologne | 3 |\n", "| Hook of Holland | 3 |\n", "| Paris | 3 |\n", "| Copenhagen | 4 |\n", "| Hamburg | 4 |\n", "| Geneva | 5 |\n", "| Lyons | 5 |\n", "| Milan | 5 |\n", "| Gibraltar | 6 |\n", "| Lisbon | 6 |\n", "| Madrid | 6 |\n", "| Munich | 7 |\n", "| Vienna | 7 |\n", "| Stockholm | 8 |\n", "\n" ], "text/plain": [ " city groups\n", "1 Athens 1 \n", "2 Rome 1 \n", "3 Barcelona 2 \n", "4 Marseilles 2 \n", "5 Brussels 3 \n", "6 Calais 3 \n", "7 Cherbourg 3 \n", "8 Cologne 3 \n", "9 Hook of Holland 3 \n", "10 Paris 3 \n", "11 Copenhagen 4 \n", "12 Hamburg 4 \n", "13 Geneva 5 \n", "14 Lyons 5 \n", "15 Milan 5 \n", "16 Gibraltar 6 \n", "17 Lisbon 6 \n", "18 Madrid 6 \n", "19 Munich 7 \n", "20 Vienna 7 \n", "21 Stockholm 8 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "groups <- cutree(tree = eurotree, k = 8)\n", "data.frame(groups) %>% \n", "rownames_to_column(\"city\") %>% \n", "arrange(groups)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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/TokbmrAFAGxUx3Mm/evJycnIiIiLS0tOPHj0tLTRw+fHj37t2JiYmJiYmnTp2y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", "text/plain": [ "Plot with title “Cluster Dendrogram”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(eurotree)\n", "rect.hclust(eurotree, k=8, border = \"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### k-means clustering" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "kmeans.golub <- kmeans(golub, centers=4)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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OAqgh1wDc8JJvPmzVOumj17toioqup3fk5OTk9PT0VFhYjU1tZeunSJbrAAgGCh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\nAEUQ7AAAABRBsAMAAFDEfwApynydbz14vAAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(mds$V1, mds$V2, type=\"n\")\n", "text(mds$V1, mds$V2, labels = mds$phenotype, col=as.integer(kmeans.golub$cluster))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Grouped by data source" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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WHhnDlzRo0a5buKAQC4gmAHXMN1gsmMGTOUK6ZOnSoiFovF6/zMzMz29vbi4mIR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GRPOD5++M2LkzYqc8VH6l60pla6XZ89S0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\nu1fdWHV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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(mds$V1, mds$V2, type=\"n\")\n", "text(mds$V1, mds$V2, labels = mds$phenotype, \n", " col=as.integer(Golub_Merge@phenoData@data$Source))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Semi-supervised learning (Noise discovery)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "suppressPackageStartupMessages(library(genefilter))\n", "suppressPackageStartupMessages(library(pheatmap))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulate noise data set\n", "\n", "Note that EVERY expression value is drawn from a standard normal distribution. Hence there should not be any meaningful distinction between the \"groups\"." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "m <- 20000 # number of genes\n", "n <- 20 # number of subjects\n", "alpha <- 0.005\n", "\n", "grp <- factor(rep(c('N', 'Y'), c(n, n)))\n", "genes <- paste(\"Gene\", 1:m, sep=\"\")\n", "subjects <- paste(\"PID\", 1:(2*n), sep=\"\")\n", "expr <- matrix(rnorm(2 * n * m), m, 2 * n)\n", "rownames(expr) <- genes\n", "colnames(expr) <- subjects" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Find genes that are different across group at specified significance level" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "pvals <- rowttests(expr, grp)$p.value" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "df <- data.frame(expr, pvals)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "top.genes <- df %>% \n", "filter(pvals < alpha) %>%\n", "select(-pvals) " ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
  1. 92
    2. \n", "\t
  2. 40
    3. \n", "
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 92\n", "\\item 40\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 92\n", "2. 40\n", "\n", "\n" ], "text/plain": [ "[1] 92 40" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dim(top.genes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Show heatmap and AHC clustering for top genes" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "annot <- data.frame(grp=grp, row.names=colnames(top.genes))" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 6 × 1
grp
<fct>
PID1N
PID2N
PID3N
PID4N
PID5N
PID6N
\n" ], "text/latex": [ "A data.frame: 6 × 1\n", "\\begin{tabular}{r|l}\n", " & grp\\\\\n", " & \\\\\n", "\\hline\n", "\tPID1 & N\\\\\n", "\tPID2 & N\\\\\n", "\tPID3 & N\\\\\n", "\tPID4 & N\\\\\n", "\tPID5 & N\\\\\n", "\tPID6 & N\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 6 × 1\n", "\n", "| | grp <fct> |\n", "|---|---|\n", "| PID1 | N |\n", "| PID2 | N |\n", "| PID3 | N |\n", "| PID4 | N |\n", "| PID5 | N |\n", "| PID6 | N |\n", "\n" ], "text/plain": [ " grp\n", "PID1 N \n", "PID2 N \n", "PID3 N \n", "PID4 N \n", "PID5 N \n", "PID6 N " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(annot)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Simple version of heatmap" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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4wZM+bPn3/+q22v8RCtJUHee++9mpqatLS0u+666+mnn9ZUr6PrJnZ//vOf9+3b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\nnjl2Fotl0qRJQ1pEdXX1kP6+hoaGhoaGRlwY/ORaVFR0+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orlfEKgtaGrv9eLTB8NxwDg0L4mjsOa5RsIE4B9O0/hrZJlpbkdBnzYTe4x\nkQBA1YEWHTqYvd8dUGRlx45OvFWiqHh7OoUodkypigwAh48GDAbsXN3rFgVB3b69B29VLKb2\ndfdW7TmAzwIA1Y1MfQe2K3qDIMvq9u3d+N8Ph2UlxlGNdCBQX9vZ2YYN3gr6wwCw/YiKD54I\nhCESY7Yfo3AqCEBTvbu3Gzv/REICAOzf24yPefJ7Ixz7lYoaPKp+3bp1y5YtKy8v37lz56BA\nR0FBAcMwl1122V/+8peVK1fqdDoA2LFjh9FoHDmSRpdhGBAfx662tjYSwWpknGNUVfVFuJCA\nTR8TCSHgDlDEyimqEmP1vQzV2mQsIOqiKrYUUQIAcLtjeMdOElUFiLsbq6gCAAD6IGMWWOz8\nIqkAQPr7wvhhKQoyEOL+h7Cmr4EQXUjgJIItQlYIAOn3c3irYoJCVMXdTRGVpqh8WG9RjFj/\nRlUJhGS/L8Rx2KepEBUVAr0CRVy5SoSoAO4BOuFGX4gJxbB1JQhAQO2WkvG/r0BUjIkDaH9o\nEH+Ui0hoq0QVgHj7+vDPLUVWBJXt9dKJukdCIVnERgSLogIA3r4BigEiKsBwfW6K6ZRhmGCE\niOjgxUG90YGBGF4/TBAUIGpPL8VkQghIsXCMYMeUqqoA4PESlsP23phAVBVcPRQh9opCohFB\nlDz4LAAwENHxArauYoIEoLp7Qvjfl2U1JjNumU5HM+CPRSLYVhcEAQB6AxQrVaIcExWuZYBC\nO4mQcDAQE2LYfiKKMgB43V78sBVEwuu+ktrpdDIMo9PpsrOzs7Ozx48fr9PpWJbNy8sDgEce\neWT69OnXXHPNwoULq6urf//73999991x/5BISxwcuzlz5rzzzjvRKIX8wbmE47iZZUpOGlr+\nrQEO15Hrr6ZYflv/l76EJPvMS0bhs7zxp8+nFktFGVj/pq6L23nC8MPLTTzWK4APtwuc3zfX\n0oK36k/+sZNKDaUF2DI6epTNe6XvzXOaTdhZb9OnA4Lbd5WDIlD6FU/J+NGm8tHYtTGvX13/\ncfiiyyYk2LEe6r6dNYGuzh8WULxkv9aQPbrEMbkCKwAhiuraV9sqLqx0OLGyWycOHu3paPvB\ntWPwVq1/qyY3xzx9OoWwyOrVdRdNMWWnYxu9qlasOiXP+f7F+CK2fLAzzSFeMpViQeKlt32V\nE4yFOdhGP9kk7D4Uve67yXit0w82D+jM1ksvo3h3f/3PhyoqnHgli7a20CefdF09N8lkxJr1\n0ae+sGy/4PJ5eKu2vv1GWZm9rAzbFfv6Yhs2dE6ddaHFhn28Hd61L+z3zb7qQrxVG9/aWlCc\nOW5CITK9EJM+eGvnzFklSU6sVQf3NnZ2BC686iq8VTs2vG9IykgtLvv3Sf9Gw6fvTb+wICMT\n+wp3rMpVe9x1/RUWfBHvbA47Jf9FDor55+We0WOnTMzIwcoEttU3HT9QdcUPJuOXBrZ8eCRM\nzI7RU/BW9X6+cVJF5shirAhLW5tvx9bm719mNuixVh2pFV2er7SF2Ww+ceLECy+88Oijjw5q\n1xUWFvp8X4h2VVRUbNy48aGHHvrOd76TlJR09913L1myBH9Hw4Q4OHZPPfVUSUnJ4sWLz33R\nGhoaGhoaGv+1cBxXUlKycuXKlStXBgKBDRs23HbbbV92SGbPnn3o0KE4WvifE/89dmvXrt24\ncWO8rfg7s2bN0o7Q1dDQ0NDQ+BYzd+7cjz/+2Gq1rly58s4774y3Od8k8Xfs3n///ebm5srK\nyngb8gV0J/BpaGhoaGhonG88/vjjP/3pT3fu3Hn33XdHo9Ff/vKX8bboGyP+jh0AzJ49+9ln\nn423FV/w8ssvA1AciqKhoaGhoaFxvqCq6sqVK1988cX29vbMzMwpU6Y8+OCDN9xwQ0ZGxtVX\nXz141NhprrnmmvXr18fL1LNjWDh2GhoaGhoaGhpDjdfrXbhw4bp16x555JEZM2bs3r17yZIl\nhJDGxsaMjAyfzzd9+vT/+7//O50+LY0itmyYwJw+GvXTTz+dM2fO4JEa3xQ5OTlLly6dP3/+\nGdf/9Kc/LV68ePBM2KuvvrqgoGD4rNi99NJLRFXx6lZAgABQfb8drPKhzXLWVlHkgMGuQ1vK\nMLYKm2dw1JwDq4Bmb8AXVg19V6SpKuq7gHNyI+diDJ519Q5lJ4Gzrl6aMv5WxFlYRVfIuakr\n2mJot/Ocw1lxyCeTs7BrqAeIyWT6shOyf//+qVOnVlZW7t27d/BKSUnJqVOnOjo6srOzy8vL\ny8rK1q5dS1HG8CNuK3aqqnq9XgCQJOm0czkcYBhmQkJfqh4rQ9oUsTUKjgsvG4cv4sDuOrtZ\nmTCGQu/nox2hsmR/lgUrr9cRMhwfsF+e1cex2Lrd25PI26xTpqTirdq0qWNMAZeTgVW+6POp\nB2vkS2fY8cHqB6pCkspNnYaN0geArZ+0jhzBFozA9u1gmOw6LMysMFrN2KCZqpOCL2wor5yI\nt+rgZ/tyM9niAmyjSzLZsit4QWWmIxGb5WRNf29vaNZFFIpx23Z6UvWRsckUSssftSRXTEhI\nScYKizQ0R5rbhFmXY2UsAGD3Z612XXTCCAop4I9qrBOK+YwUbAu29agnGuWZs8fhFeMO7W0w\nm6CiAivNAACbNnWMLU0YkY0VA+t1C4er/BdcWIZXpa4+VMcScWplBt6qjze35RTmZOVmItOH\nAqHqA8cnVE40mrE3UnfspBjxXziToq62bHXnpsGoXLRUngSfHpCnTU6wJ2Dnn5pTkZ5+mHJh\nOd6qAzurDPaUpJwifJa2QzsnT7A5k7AtWNcUaWuPXj4BLZ0KsOO4PtHOlaEVnQBg065Y8bgi\nZxpWO6m7o7fpVNuY6ZfifcHGqgMJxlhFOYUU+aZPPePGJWVnY6VeenqiR470T79kDK/DNnpr\nU28k8JWHYEVFxdSpU2tqalasWDF27NiqqqqmpiaWZbOzswHA5/PZ7Xb8LQxP4uPYmc3mtra2\npKQvOlkgQCd8P6QwDJOsEzL12Eddn2gAAdIysKJQAKDTcSajmpVGUfkMQJJBzjRjH3VBkQOA\nDHOMRzt2Bk7VGfmsLArxMIZh7AlsVip2LlZVAgDpKTq8jp3RwDAKl5lJoQ/JMpBgpbDKG1AB\nIM3JORKwWepamGCMS0mnEC9kOS7BwmaloyWmRQCAlBRzSiq2RTraAv19TFaGAW8VzzEWnZJp\npXioAIAzWZeVgX2ouPtFhhEyMilkk3V6zqwjmQ6KrwcMQKKdwTd6IEwAIC0jEe/Y6Q280Uio\nB4hdl5WJdc1lmQBASnqiwYitXqNBT1QlM/P/s/fm8VVV5/7/s4cz5uSck5yTkIkEEkJICJBA\nQBAZJCCDY6/Tz2u59V7bWpsXXv061QG9igPYWux1uFWRWidsFapVBgWZkTAEEggBMs85OcmZ\nxz2u3x+n5aq19lkUSPDu91+wz9pZzxr3s9dez2dRqKCxLJOUbE7LxHpdvJ4HgBRnqgWtY9fR\n1EbEYHYWhbwtxzHJZpKdhm2OmAAAkJbKpzmwY6qtU+A4ko4uOABwPK8zmpIcFK+7AOBMpRgg\nrgGRAchOpdjYrefBbKTo7QnsqVZ82cPBKADY0zPwjh2v05mMEr7gAMAwYLPp8GNKFFUASBth\n1xuwT89Bd1CIfG1+4zhu06ZNTz755H//93+7XK7s7Gy73V5cXJz41e/3t7S0zJ07t6amxmQy\n3Xzzzc8995x2pBiKG2+8cerUqYl/33HHHWfq9KsQQurq6hIntV1IhtXyoYaGhoaGhsY5JCUl\nZfXq1atXrwaARx55ZNWqVStXrgQAQkgoFKqpqXn44YcfffTRHTt2rFq1KhKJrF27dqhNpmNo\nHDuWZfPz8xP/TkpK4vlvMWP//v0zZ868sHYBALzyyisXPlMNDQ0NDQ2NC8ny5ctXrly5du3a\nhOAawzAej8dkMhkMBgCYP39+LBZ74YUXVqxYkZ1NsR1oyBm+SryiKAIAueAkWlRDQ0NDQ0Pj\ne4mqqj/96U9/+ctfvv/++z/60Y/OXLfb7V/1ARYtWkQIaWhoGAobz57h69hpaGhoaGhoaJxb\nBEGYPn36G2+8AQAPP/zwf/3XfwnC/+7De+mll8aOHWswGAoLCzds2DB0Zp49QyN38lWuu+46\nj8dz1VVXfeN6a2vra6+9duF3vL3xxhs2NmpgsHv7wqouJOvSM7DnfAOAZzCo54jdho3rAYA+\nt2w3SCZORaaPyFxQ5DPMAj4wfDCuZ3V8airFgmVfX9SWzJrRdwgS8QbIiDQdfse6xycRwjic\nFDvWXX1hq4VNMmGzUBRwe5V0B8ehrfIGFFllUxwUETMet8diZi1J2FcpAuBySw6nSYeO/woG\n4oKgpKdRbF52D4hGVrEaKEZ9X1jvSNHp0XHNkYgaisgjMiiCJwbcYT2n2k0U+2v7AnyKlUWH\nHEBMAH9ITcuw4weIZzCo45mUFLoBYrfpTCZsCwqC6vWJznQ7w2L7id8bBKI6nRSbu/v6Ipbk\nJHyIqyzLfo8/xZnCcdiChPwhVZWcToqu6HIJFhNY0ANdJUy/R3Wm6nQ6bBsGAlJcYlLTKIat\n1+3l9Ea9mSJ4K+IdoBogobAaicgZqdi5HQDcftagZ2zoYC8A6BtQrPZkPXqExKPxcDBiS6OQ\ncAt5PXpeTbFT7O9y9Ys2u95kwt4Sjys+n+BMt+GfINFIXMebbrzxxq9erKys3L59+/Lly5cu\nXXrkyJH/+I//uO22215++WWfz/fEE0+8+OKLy5cvnzt37vbt21esWMFxnMvlcjopYm6GnKEX\nKF6wYMFHH320bdu2b1xPiKFceFRVZSxG1oDW+wkTRiE6EqLKA1jC0sWFsCzLMBzWKlZlAIC1\nmCkkf0QVGJYwFHMxQJSwBqLHPupURQSIgsfHAHoWIxaGYzkpjLeJYQAkkWHQWSgMgI5hORY/\nGhiVAdXAUaiEABCV0REeGyCpqgQgIKlmVcW2iKzKhMgsULwLEQKgNzBWCq8LwhEmGmHi2N6r\nSjyAjpNoBggBhtex+Ic8AARiDMOw6AFCiAoAwRiPF8VSE2OK9iNHPMoo2K7IKBwATxgdjaQi\nwzAMYehmcg7iBkbEWkVUAGAZFf/mA0BUAipQxRIKwHKsHl0QFQDirCJQdHjCMQAGLkpjFfAc\nY0J7aQAQAWAYyn7CAGui8B0hEAeWZfWUczWwAFjXnBAGAHQcxWTCMEQFXmEp5E4IDALDAoO3\nSgWAiKjDv/lIssTA115cI5HIjh07srOzZ8+e3dHR4XA4Zs2a9fbbb69atUpRlBdffDElJWX8\n+PGqqsbjcQCwWCwXl1cHw8Gxq6qqqqqq+tvrO3fuvPzyyy+8PRzHVYxnczOw/ab2tFxzUl4y\nh+Ih9OGWSIpZqiyjWCZZs0U/aUSkIBUrd3J60Lin07ZwlolHP+o+2R4FQ9LlV5TirfrD7/eN\nLckqHIfV0Ort9u7a2jDP0GZmJOQtW+IFksW2ZDrF/PLmFqbIGZ80Aut1+eL8+gbH7Bk2uw07\nHLbv9Xl8ypLFGXir3n63My/fOWnKKGR6UZTXv1s9dvI0ayp2TmmsPeTtalxSSbF4vO4jz8jc\n5EtnUqigvbHmxFSHL9uEfTrW+lJqA3aqFvxgJzgzTJdfTrFasGZNc1mJoSAX+6g72SLsPRxz\nTrgU79i5a3elp8gLF1LsoX7jjcZSZ2RcKrauOoKGrR2OybOmG4zYl6XqL/aAEq1cVIK36g9v\nHSgqMEwqxnpdAx75o88D0y4rSbZiZ7n9u44H/OG5Cyfirfpo3ZdjCkwVk7G9NxZT3nm/59Ji\nMc2K9Zv3ntR1ek1LllC04Lp17c7szNKp5fhbPn3nw2mTrXjVj5pj4eMNkSVLRuKz+OCDtrQ0\n49y5FMN2zZrGsRNLMnOxZe9obDl+8OgllbPwcid7Nn1hTtLPuHwK3qqP3tlcMj69sAg7xXV0\n+Hdua82aOJ3VYavX23ZKH/vaIlFTUxMhpKenZ8GCBV+93tzcbDabVVUtKCioqqry+/25ubk3\n3XTTH//4x+bm5jFjKLQMhxxtj52GhoaGhobG/wnKysoeeOCBlJSU3bt3R6PRPXv22O32Rx55\npKysrKmpCQBeffVVt9stimJzc/N//ud/AkBjY+NQW03H0K/Y/T0SLwoVFRUXON8f//jHABRn\nQmhoaGhoaGhcLDz77LMul2v27NmJ/952221PPvkkAPj9fgBITv7frSlWq/XM9YuIc+bY+f1+\nr9f7jYuyLJ919MOUKVN+9atfndtgDgz4DcIaGhoaGhoaFxcPPPDAxo0b33333bKysrq6urvu\numvZsmUvv/zy36Y8i1OPhwPnzLG74oorDh069LfXT5w4cXZ/0GKx3Hvvvf+cUWfDRacxraGh\noaGhoYGhs7Pz17/+NSHk1ltvPXPxlVdeue+++1JSUgDgb7fTJa5fRJwzxy4ajT7xxBM//OEP\nv3px1qxZpaUUm/GHCdG4GkLHOwoSAEAoTBGsrhIiK0yILjaLiStcSECfkC2zABCOEo7BrpjK\nCrCKGg5RnLwOAGJcxt8ixGUACKt6Bf0CpACrqISyrkCQGHxdRSQOACJRBb9WK0lEVUkoRLGc\nTAgRRQVfV5KkAIAQjcT06JNGRZEQCIVprFKJKCqhEDZAMkFUZkMSWqFAYQgBqhZUVZAkNRTC\nRtj8JSOB4IehIAIAyPEIMOh9xiqRZZWyrkhcZhMHN2OIyxwAxCJRBf2lQlUURiVUw5YACCJF\nXUVjKgDEogJ+3UKWVUJtFRFFijEVF1QAiMaZEPohJsmMqtL1K1UFWZSjYar4d4jGFfwwFARC\nCKHqV6pKJIm2K4IYj+MLIsQFAIiGI/hGJ6oiy3IkTDHUCUA8LodC2LOq4zEJAKR4lJWxjahI\n36yl5uZmQkhJSclvfvObxJXq6urly5e3tbWNGzcOAIqKil566aXET1u2bHn++ecT1y8izpmO\nXWlp6Z133vmN+FaMjt1w4/XXX9eOi9XQ0NDQ0PgeYDKZvuqEtLW15efnV1RUnPnG+Ktf/er+\n++9va2sbNWqU0WjMyspqbW1N/LRkyZL29vaL7uSJ4Rs8MVSwLDutMJ5hx8p0NfbyJ7t186+c\njM9i344Tdsk7NdmNv+WjwbyKrEiOFfuK1uHXH3VZrp5v5XnsgsSu6hCjM0+dUYC36rNP6iYV\nkNHooHuXl+w/wSwujRh4rOv8ZYtRVpjZ+RQqaJ822ArHOQvHpiLTB0PCzi86Ky93WpOxw+FQ\njd8fILMqi/BWfbG5IS/eM17tQ6aXgNvIT5iTPpiixzb68YCtW0yZtYCiK+794khWqjKpiGIe\n+NN24dJJuhEObL861S6f7oCZCymkiw7v/tJhh6lT0yms+lP7lKkZ2dlYQb6OjmDd0f5rr0xn\n0QsSO/d6DUZ+xgwKRauPPuoqnpCbk5eGTO92+WsPtSxanGc0YFtk375eUWYvuYxiRWHbpqMF\nY7NHFWDHbTAQObDnxILKNEsSdunx4GF/KCBUVlDsTNr4pToid9SoIqyohCgIB77YM3lmRbIN\n2+iN9af9A/2LFmXhrdqypTfTyU4qpgin+9PnofSiMqMNO/8Eutsi7o5FV43FZ7FjW6sjWZky\nXoe/5aMv4lOn2LOzsAVpbYvWHQ9WzF+CX7E7cWCvxaRMm5GDt2rjx6cDhqyYHvuh0ygFbbHO\nqZVX8Gi5k+6WJjH4tdCH0aNHm0ym+vr6devWlZWV1dfXP/fcc1dfffWoUaMAIDk5ua2t7fHH\nH583b97GjRs3b978wQcf4Es0TNAcu2/CMIzVpDrR2kjdHhUAUhwU8pI8z+pl2aGj+E7BACTr\nFacZu/7siXIA4Ezl8Tp2eh0Leo6qIAwDSSbitGHTxwQAgBSzYtZjq1fPEyDgTKJYSGYYMCfp\nHWgt/oSqbWqKHq9jZzCwLEdSHUl4q1iWMYPkIFilZRF4ALDpJacB+53CyCoMy9gdFAKhLMsa\nDYqT4vwFAABbMoO/JcnIMAyxpVKo63EcbzSC00lxxgPDQHIyRaMPDsYAwJmqxwvJ6nhGr2cp\nrWLMSUb8mIpG4wCQmmrEa/Hr9Cxh6IYtyzAmsyHFgVelJgCQYudtVqwnodezHEucNop+xTKM\nwWTE95PEt0KL1YK/xWA0sCxD1YIcx5iMrDOFLqJOZ7YYkrFW8QYjwzAOB4USKs+zBp3itNOp\nlVmtvNOB9YfcAyIAJKek4h07nucNBqAqCMOAzOpFDjuR8qqQsEqHFmc29JrkcPAbF3U6ndPp\nvP3222OxGMdxEydOfP311xM/SZI0YcKEX/7yl08++STHcfPnz7/yyiuReQ0fhqNj53a7d+3a\nNVS5qyrFbjkNDQ0NDQ2NiwVCSDgcNplMK1euLCkp2bFjx6pVqx566KG1a9cSQkKhkNvt/upP\nVVVVF11I5XB07F588cVVq1ZZLDRHrJw7nn766SHJV0NDQ0NDQ+O8wjCMx+MxmUwGgwEA5s+f\nH4vFXnjhhRUrVmRnZ3/HT0NtOAXD0bFTFGXevHlbtmwZktzXrl0LcKHF8zQ0NDQ0NDQuAHb7\n1z6UL1q0aPXq1Q0NDdnZ2d/x04W18Z9iODp2GhoaGhoaGhrnA0EQnn322Xfeeae3tzc7O/tb\nD7iSJKm8vPyiO0wswdDLnaxbt27nzp1fvXLw4EFCSG1t7dlZ8k+yZs0as17RoTfLxmWICYzV\nTrFjNBSM6UAxsxRV7Zd1Zh3Rc9hgUkGGmMzZrRxeMTsYVhmGTbJQ7CwO+KNmAxiw21hBlCAS\nB5tJxVsVijHAQLKBYuOjP8aZTLwBHVeoqCQUFKzJPIcONAmHJYWwyckUdRUMxPVEMhEKDS0/\nY0rWyXglwqjCSYRLTqboiuFQTMcTM0U5wBciFjODHyAxEeICSbZRhHREQmGeh6QkiqA/n09I\nStLp0GYJohKLSnabDr+9PxiWWZaxWChehn0+0WjS69FdURLlWFS02fT4HesJVbakZIqwzaA/\najTq9QZs9cqSEo3G6QZIRFEV1ZpEETzhDxGdwWAwYvuiqqqRUNhsMePPCopH44oi2WzoCQsg\nEJB0PJiNFGEKvqCiM5oZtFWKKCiSaLNTtGAoKPAcJJkoqtcXVJOSeD26v8cFNRZTkqzoyDiA\naDjEc4yZZtgG/HGF1REGO0BYUFlFSLJa8QNEFASz0XjTTTedueLz+ZYuXbpr1661a9eWlZUd\nOXLkhz/8oaqq/f39HMcdOHBgypQpaWlpK1asWLFihaqqLMv29vY6nRTh8EPO0K/YrVmzxuVy\njR8//syVeDzO80NpmMWgmgzYp6k/zMYZxplMoRUZDRG9jkm1UURa+fsZSxKxGLG9ORCFWBBS\nTCJ+6EciHMerDpqCBPxgZqVktIca4fgI6OzpyfgnRKwnCoSkOmkmi27ZaOJtNuwTQhTVUFCw\nGkQ9utPFYwAq60il6KWhIJiS+FR0XKGqgt9FLGZiRBddCYEiEaclhrcqEiIGHaRYaZ5bIcVi\nUPC+oKoygshabFRPiIheByn4qE0Anw+SDIolCTtsAyE1FoUUs4R/QoQjhOd1VAXx+QaMJlNS\nMjboLxqJxaKi3SxzLHqARIlM9CpaMCJxE28wG9HPbEkQolGXzcrraNwChWFTHBTOSiASM5vU\n1FTsK5wsq5EQsMZkDq18wYgehqhmq4PCqmC/Qc+k2Gm8+aCSamfxcc1erxQOMQ6KbgWRMPB6\nvSXaRhE5AAAgAElEQVSV4mXJFxywWPikJKxVgYAYiylpDiYRE42hJwY6njisFCqwAT9kJIvJ\nZuxDJxJj+v1gtxtY9AAJ+L95rqksy5s2bUo4al1dXTU1NbIsG41Gp9M5ODh48803FxYWLl26\n9JlnnikuLj527Nhdd911cXl1MBwcOwC44YYbnnjiiTP/ffjhh48cOTJUxrAsOylPHOnAOit1\nHfqadkPlDKzOAgB8uCWSYhIrJ1G4UG2fm8bnKWMysbPe6W52dz07t1Tg0d7jJweNvFFPVZD2\nnlBRSrTYgVUz7woZPos4LrsszWzGdrzNm3vFmEBl1ZsbwvkFKRMnYcXDfL74R+tDM4oVexK2\nerfX8Z4YX1lJIYj19tvNozLVqcXoF00Z2jeRqaOE9GRsV9zfam7zGiqnUrwwrPtMzhnBziyj\n8JtbNyjlBUqOE1tXR1v4o2268lkz8Vns/nRTRop4+UyK51bbe+7SsfqCXGxBTrZKew/H51Xg\nHxDw8W7CW5IvnVuCt+qDt3aPGps3qjAPmd7V5areeWjWZJ3JgDVr017RIyRlTrgEb1Xzzj9n\n5OXnjhv/j5MCAEDI5zm0ddOMaXabFTtst+3y+P1y5eUUj8O31/WMHm2pqMB6XbGY8s47bZlF\nE8xoxbju+proYM8lc8rxVm1ev2NkFlw6leIlo/Vd96TyzMws7C21R/sajrsqZ1O45h98PGBP\ns18yi0K88I+/3z1hgn30aGxIYkNDcN8+99x5ufivK5981JRkVCtnUbio7evc43LVcSOxvmCb\ni+0/wk69tBi/3txQ1+bp/9q7blpamtlsTk5Orqqq8vv9ubm5U6dObWlpAQCn07lnz57HH3/8\n/vvvVxSlt7eX5/lf/epX+BINE+iEcDQ0NDQ0NDQ0Ll6qqqp8Pt/69esDgcCbb77Z1NR05513\nJn6aOHHi4sWL09PTA4HAI488wnEci9e6HDYMixW7b8Cy7O7duwsKKI5AOIfcf//9Q5KvhoaG\nhoaGxvnm2Wefdblcs2fPTvz3tttue/LJJxP/7uvre/DBB9esWTNUgmvnhOHo2N1xxx15eXlD\ndWArfs+NhoaGhoaGxsXFAw88sHHjxnfffbesrKyuru6uu+5atmzZyy+/DADLli2bMWPG9ddf\nP9Q2/lMMR8du5MiRP/nJT4Yq94tOY1pDQ0NDQ0MDQ2dn5+rVqxcuXPjYY4/19vZmZWVNmTLl\nf/7nf+67777jx49v2bJl/fr1lZWV1dXVHMfJsiwIQkKv+CLiQjh2PT09gvB3z7uMxWLD7RQv\nT4jl0J/VgzEGAHrdFNolkkziEtPrpfhyTwB8IaZXj11N9EcYAOjzcRxLoZAiCypVQYBAQOR6\nw9ioNF+MB4D+/rjBgC27ICiSSKisUlUIB4W+3hAyfUIwwu0n0Tg6FFFkZJn09mKjRgBAVUk4\nSnoHsc0hKwwAeMKsrGKDISICoyikd4BiNCkqicRUqlsAwBNiWPTCdjAKhBCPq5/CKlmOxtVe\nF0V0ESHgC1L03mBIBYDeQRUfPCHKoMRFt8tHZVU4EB5wDWKt8ocAoN9D9DpsP4kLRJWlqG8A\nbxWoSjQc9rldyOTRcBAABgbFSBRbvfG4KsvQ20dxHLaqklBI7u2NItMLAgGAaMCnoCW6pHhM\nVdUBl4fCKkWJRBmqrggAXk8U/90nHBIJgV4X9khoAJBlEovRdUUA8PlEgwFbvYGACACu3hCg\nSyJJagwUuroiEAhDL7pBfGEAgIF+vw4tYRAJx7/x9a+5uVlV1S+++OKpp54qKyvbvXv3008/\nTQhpa2vbsGFDJBJZtGjRV9Mbjcbbb799zZo1WCuHAeddx+6ee+659957v/u76pIlSzZu3Hh2\n+Z5zXnvttaE2QUNDQ0NDQ+McYDKZviqmW19fP2HChAULFnz++eeJK+PHj29oaGhra9PpdA89\n9NDnn3++efNmnU73zjvvPP/88/fee+9dd92VlUWhgTDknPcVO0EQCCEHDx50OL49jn3p0qVT\npkw532bg4Xl+xkhfphUrJHvKbarvN924CCtVBQBbdsesIc90uQV/ywe6KdOn2vNGYlU/2jpi\nB2sCN/wgE68Y98WOQT4enp1D8Rb4YWN6eRE7Bn3USp8HdteSa+cZjWiJ0F2HRZEY5lXm4q36\naENTiXGwyIQtSFDWf+YbufjyZKsFuza2/0jUG+TmXDEBb9XWT4+OyWEmFKFVYRVY/1lk/gyD\nw4ZtwaOn5LY+rqJyMd6qIzs+y7EGp4ymWC34Y7Vlzuy0jBHYbxMnTgZPngzdcO0IfBabtw5Y\n7PbyaRThUxs3HJxRJOY6FWT61n7+UJPuev44i5bp+kIZY8xwzLqMQgXtg/Xdk/Olggzs23Kv\nl9vToL+2ImrgsWuou06aomxa6YzZeKsOfPZJ+uixztx8ZPpYKNByaO/8xePNFuy4PVzdHnEP\nLhxDMZl8fMqRPza1dAJWIUUUlI8/bi2fPTv562dAfQdNx44F3N1XX5mBt+qTT/scmZnjJo7F\n37L1o+2TZ1akOLEiLK2nW9qb2vMumY/PoufonhSHo2jyt5yX8PfY+8lHxRXTHJlY76Svra35\neO01N5TjV+x2bzvN6pNLL6FQ3tnz6ad5JROdOdjp3d/vaj568JrrCvV67Defkw0ez+DX/Jzi\n4uLKysqampp169aVlZXV19e3tLQYjcZRo0YBwJ49e2699dby8nIAyMjI4Dhu5cqV+BINEy7Q\nHru8vLz09PRv/cloNA63eAWznliN2Ik1MQVbLRTfVVkWeCJbgeI7BUPAZOSsydj2MhpYAEi2\n8DyPrVueZziGWPXYR+NfMtIDXl8+EFEBwGJmzGilZZ4DhTDJVootDgwDelax8ljXXAEWACxm\nDu/Y6XiGZRlLMoW6HsOAXkfRT0QJACDJxOBv0fEMy7AmC4XmFsOweh6sJrpAJbOZs6KVlo0G\njmEA33UBgGUZnY6jq14Ak55YzdiCGHQEAKyMyAJ2pHOg8jyDL3jCLiONVb6wCgmBdD32Fp4j\nLMNRNjrD6fSGJGzQnyxJAGBO0iejz7fQ8SzLEKuBYjJhGDAYeKsV6zvGYgoAGE1mM7rsPK9j\nGELVgizL6HQ8XmI6gcFkxN+i1+sYYHQmiiwYhuN1OnzB/5KR0YS/RWc0AIAl2Yh/OLMcy/PU\nVun0BlMS9paIwQ8AlmS9wYCdq/UG/hsOBsdxGzZseOqpp5YvX97T02O1WmVZfuyxxwAgGAy2\nt7dnZmbefvvt69evFwRBluVQKJScTFeoIWcYBU+cPn16165dQ22FFhWroaGhoaHxvcVqtT73\n3HPHjh1raWnhef7FF19M6Ni53W4AeP7553/2s59t27bt0KFD9957b1VV1VtvvTXUJtMxjBy7\nl1566d13383Px34gOE/8+Mc/HloDNDQ0NDQ0NM4rTz755I9+9KPdu3fffffdsVjs//2//5eI\nMZg+ffrjjz8OABUVFd3d3StXrnz++efT0rBHGQ0HhpFjRwiZP3/+H//4x6E1Q5M70dDQ0NDQ\n+H4zbdq0adOm3XLLLSkpKQ8++OAtt9yS+OQ6adKkM2lmzpypqmpTU9PF5dhdfGdlaGhoaGho\naGicBT6fb+fOndXV1ZWVlUlJSRkZGceOHZNlubm5OSsrKykpafv27WPHjjUYDIWFhX/+858B\nwGSi2O87HDjvcic///nPH3roof7+/r8XPFFZWelyucaPH3/06NHU1NQDBw6cnQHnijVr1uhZ\nmUN7vJLKSApjNlHszItGCQeqgWB39wNAhNEbDBw+EkISVVEiSWYOH9MUi6kMUY3ocDwAiEic\nQQc8etlXVkAQwWyi2MYYF4EQMJkolpajUUkHqo7FFkQFJqZwJiPFkYBxgagETCZ0cC9ALCry\nHOjxdxCIxIjJwOCtEkQiK4zBTDEHibE4zypoTSgAgIjAGI0shx4hoqjKsmo2Yzc7A0AsqjAc\na0Cf8w0A0Yhg0BEenYmsgCAxSSBSDBCiYzjWaKQoSCQin4VVZgOhGCASQ4DVGbFhDQAgRKMc\nr+N02OpVVVUW4iaTjkGL/glxmaiqSUcRPBGVOJ5n9XpsZakqicVkvZFi3EqiqCqy2Uw1mSgc\nx+ooxi3EojG90YBXQpUlWZZlTk/RgooksCydVfFoVGcwcBy2ehVZlkTRnESTRUwChtXTaPnG\no1Fer+c4bIuoqiIJgtmswz9CREk1myw333zzmSs1NTUVFRUWi2XOnDl33313W1tbVVWVJEld\nXV05OTnl5eW1tbXLly+fN2/e9u3bV6xYodPpvF7vxXXC2NB/il22bFl1dTUAJEKOh9ocAIBM\nwWslMWTiPtY6wNnGpFKEuJ4UdGY9yUuhcKHqepkMm5xiwcbKDQaZ7kG2IEPBuwWnu4BnoSAT\nbxTUtkJquj3VgY3nCgaiXR2+UZFeHWBn/GYmjSSZCwspBtWxY36HWU63YF9RYhLT6DHlZXFG\nA3a2aO2URBnG5lA8t443kZQkNcuBbUFFgeMdXFp2hjkJOyj6ugfDoejoAgphkaaTnTYz5Dgp\numJtK5eW4cCHrLpdfq8nnJRBIRgR72hO1gt5TooxVRfRZ2ZZ7HasszIwIPT0xnLGj8G7Ba2N\nPQYDM3q0lcKqukGLI9uSglW+iAaDAz2do9NknsP2kyYXD7w+v8CGt+rE8Wiq05rqxKqERKOx\nrtbeUXlGfChia1tYFEjhaIr5/HijlJqiy8zAugWyTOobQiNHWkwmbKN3dfoiEZKbTyFI1nSy\nx2ozZGVTVG/9sVhGpj3Jgh8gPq8nNHrMSHwW7Y1tSUncyDyKrlh/LJo+wmq1Yedqz0DQ7fJm\njxqJjyZsa+pgOYM9i6IgruaTmamqIwU7V/sCakcvZOel8+i3pQF3QBG/NsYnT56ck5PT29s7\nd+5cQojP52NZduLEiTk5OQDQ39/Psmxtbe2sWbOsVivLsmaz+eLy6mA4OHbXXXfdddddBwDh\ncDgRkzK0sCxbKLtGKlgx7Do+d5CzTh2FdQQBoNPL243y1JEU5xYc6zXmZypjMrEP4NPdbPcg\nO6WIYrXA5WV4lkwdS7Fke6ydHZmXWjgO60n0dvu6OnyTlC4zYNXJB7kkyWKbOpVCPOzEiUCO\nTZw0Alu9vjjf6DFNKNLbk7HP+FBE9fiUqeMphs+pdiXLQVG9ogzHO7gxxbmpTuxDRZYVIS6W\nTi7EW9XZ2pduF6kavbaVyx+bmZGVgkx/oq7D541kFlFo/gX6exxJsan5FOp6xzr0+flJBfnY\n59bJ06Ge3tiEyWNY9CpUf583yUQqplL4zcePe5zZudkF2BYZ7O0a6OksyxPwcieDIVbk9eUV\nOXirTjX0j8hOGzseG6bm8wS6WnsnlNpsNqwLFQhKfk90ainFmuupNjkr01AxGetuxmJKfUOo\nqDjd4cQ2uigoXV2BiVNG463qaO1PS7dQVW/9sb7RhVkjMrHe/Ina1oA/Ulw+Hp9FX1dfqlM3\nuYLCQ60/1p+Xn5GT9+3fzf6WltPdbpe3pLwY79i5+waBN2cXT8Rb1d96elQOPy4f20/aeuSO\nXrm0bJTegJ17T9R1eL5+qgfDMCzLlpWVvfzyyy6XKzs7+6677lq+fDkANDY29vX1PfbYYxs3\nbrzqqqtSU1MXL168cePG5ubmMWPG4Ms15Gh77DQ0NDQ0NDT+TxAMBjs7O2+55ZZ58+YZDIaB\ngYEzK0pNTU0A8IMf/ODw4cOCIPT19T388MMA0NjYOJQW0zP0K3Zn4Dju448/Tk3FvuicJ55+\n+umhNUBDQ0NDQ0PjfPCtYnWqqr711lt+vx8AvipHbLVaASBx/SJiGDl2jzzyyNVXXz3UVkB7\nezucZQCJhoaGhoaGxvDlO8Tq/jZxIrr0oju2YBg5dunp6fPnU5yXd57QdOw0NDQ0NDS+lyQW\n5D766KNvuGtNTU0pKSkAEAgEzlxM/Dtx/SJiGDl2w4d2Ps3PmpGJXZwNgDnWTRPjLbFB4I/1\nYbMAAALQ6WYjceyeyIEAAMDxNkBvDYdIHFiAujaKLkEI9PUEJAkbHBoMxgDgFJelQy+Khhij\nGlXq6ihWwhVFdYX1+DesmMQCwOlWKXHALgZfgAgi1DVSRMXKCnEHGHz1KioAQEdL32A/9iR1\n32BQkZXGE+0UVkmKJ8hSNToAdLW7/d4wMvGgO0gIDLSewv99RYj7GfZYJ8WYIgCdndFwBNuv\nBtwCADSe6MCPkFg0rsjM8WPYsCoAUFXi7e9VJGyoUCToB4CGHr0OHfMUirMqK5047qKyarDf\ni08fj8YB4FRj2GjEDpBAQIoLUNdI8e1DVsDtFuuOB5HpJYkAQFuLx9UXQt7i9UVlWT5V34W3\nShRlrzdGVb0A0NXu9nmxVg26A6qqNjc04f++JIoBn3LieD/+FkJIT9dAOIwN8vO4gwDQfKIF\n0ItV8WgcOLW/hWKkE0J6+hUBOz7AF1QAoOlUD15uadAdUJWvBWdkZWVxHJeenn7moLDq6url\ny5ebTKaMjAwAaGpqmjx5cuKnxO66cePGYU0cHgy9jt1w47XXXhtqEzQ0NDQ0NDTOASaTaenS\npV+9YrfbJUny+/06nQ4A7r333ldeeWVgYMBisYwdO7aiouK9995LpFyyZEl7e3tDQ8MQ2P1P\ncN5X7A4ePHi+szi38DxfmdE30oJ9s6nzWGsGbf8xM/CPk/6V9UeSU5zmylkU2khr3nNnTZhm\ny8xFpvf3tPfWH/73a414uZNPdomc0bxocR7eqt+tbZgxzVZShNX46eqObfnC86+TvWYdVrdl\nyymrEJKuMZ7GW/VWrKwsK0old7K+wXHD2AG7ASsZvaMrxRNir09pxlv1rnfcuDG6qSXY9hBl\n+P2n0pXXFDnTsGoOB6u7W1tDc39wI96qXR+vHznSWjGjAH/Lut/tXXyZPicd+8Z89JRce0q+\nrYxideHDBoczzXD5VAqxjDUb4jPnFublO5Hpm073H9zXevOPZuLlTj7/tC6JCS6soFimfWMz\nXzx12sgxWLkTd3f3kd27fnit1YReG9u0MxyWU6ZULsJbtWvDutElE3PHYfU1Qj7Poa2bfnDD\neKsNu4a6a3tbwB+54QYKYZG3327OLcwvKcMujQhxYfMHnxfOnG+2YePtuutrIoO9V/wLRV1t\n/dOW/Fz+0ukUX+Je/13nkiUjs7OxH2RqajzHa/r/v96t+Cw+HjF7RPGIuXMplHfWrGm5vDI3\nbxT2oXOqwbP/y55/+4/J+N1ln358SmdMnn75NLxVf353Y+m08twx2H7i6uo5vGv/wpuuwYsz\nNx0/GXR/c33abDa73e7rr79+2bJldXV1L7300t13350Qq3viiSduvfXWwsLCefPmbdy4cfPm\nzR988AG+RMOE8+vYTZ06NeHYiSJ6sVVDQ0NDQ0ND4/wQjUanTJmyc+fOTz75JKFp98gjjyR+\nuuWWW6LR6KpVq1auXDl69Og333zzhhtuGFprz4Lz69itX7++oaFh/PjxeprDTxL09/e/+OKL\nZ/1p+KzJz8fqdmpoaGhoaGhcRBBCQqFQR0fHU089VVJSsmPHjlWrVt19991n4iZvv/3222+/\nfWiN/CcZvsETO3fu/OUvfzl79uwLnO/o0RSfDzQ0NDQ0NDQuFhiG8Xg8JpPJYDAAwPz582Ox\n2AsvvLBixYrs7Oyhtu7cMHwdO0JIamrq1q0UOw/OCZrciYaGhoaGxvcVu/1rJ9ctWrRo9erV\nDQ0N3xvHTjtSTENDQ0NDQ+P/Ctdddx3zFRYuXHjmJ1mWH3/88by8PIPBUFJSsm7duiG086w5\nv3InAJDYY9ff3//pp5++8sor+D/o9XpdLlc0Gj07e86a119/nQGVBewh3AphCDA8i00PALLK\nMAyghXgAAGQFGIbFSwoBUQkh+JBY+ItwGsNS3SITlgUWbRUBUBTCsQQvMqcQBgjBNwcAKMCy\nDMEL+BECCmE4hjDoXGTCMgAsYGN7/2oVsJSNznEMALYkqqoSAixH0YSqojAMg48MBQBFUTma\nnqioQAhQDhBgGIZ2gLAsgxeIVwkhKsGrYQGAoqgMAEc70lmWSrZeVRSOQzf5X4ctQ9OxVEVh\nGJahGSGqqlJ1RUIIIYTjKAouyyRxOjv+FkVRGJbFWwWEABDqLBjgaAaIrBCOo2hzRQFCCKdS\nRFurLAcM0FYvyzIMuuiqQggB6gFyVi1I8QQhRFVVlqbkqqpaLJZbbrnlzBWfzzdnzhyTyXTm\n+NAXXnjhs88+6+vrczqdjz766MqVK5cvXz59+vTf//7377///qZNmxYtooikHg5cuE+x+/fv\nV1X15ptvRqavq6vbvHnzeTXpW2EYpiBVsJuww6w3aOgNcOUOCrmTY16r2WbOL7D/46R/peaQ\nKz+bSbVh+/Ogj23rVSYa3HiXqCHu0OlgbAqFJ33YlTzSJqVbsCoh/hjXNGicOErmOaxVp7p5\nAmzxSIpZr6aJdQz0Ojx9yPSiMak1r3j8aMaAjvBp7iGxiDrBipUOBoAjAccIJ589AjvrqQRq\nTkj5hRnmJKzGRHeHJxgIl02y4q2qrQvYUwx5eRS3HD7UP2a00ZqMdR97XJLLLZWXUYj7HKsP\nWcxMfi6F3MmhY3F7Zq7Jis0l4h309/eWl6fgH8AnTvj1eq6wMPkfJ/0rhw97RubaHE6sYE3A\nH29tHpxUasU/uU41hgmw44opjtg+UuN2Zo5ITXcg0wuRWFtjy/gxOgNa9rupQxJEKC2kiJk7\n0iDanOnOzExkekWWW+rrrVmjeYMReUt4oEeJRfLGleKt6jhZ77CpuVkUD8pDx4XCgqTkZOwt\nPT0xl1uYPBHbSQDg2CnBnJyUOwor7gMAx450FIwy2m1Yq9yDckdXrHDieEA/QdpONpt0YuEo\niro6XK/k5lodTqw0jN8fb232lk2y4j3Ovr5YLPa1fqgoSkNDg91u9/l8Dodjy5YtmzZtuvvu\nu51OpyAIzz///E9+8pPEaWNXXHFFfX39008/rTl238X48eMffPBBZOL3339/x44d59Web4Vl\n2XyHONJOoc/SFzRPcmAF0wGgOWC22QwTJ1EoNh857MrNZMeMxD5NT7fLbb0wweThGeyqUpdk\n5XXspDTsiQIAUNOfnGMTi0fEsVn4dU2DxpKRstmAnSz6vKyoQFk+hWNX28o7fP0FbfXI9KHk\nlNa84qJcsGP1+MAbZDxxZZKV4jyM46GUdAdbNg7rrIgy1JyQRo9Jd6RhPYlYTIxFY2WTKF4Y\nTp4KOR2mSZMonhCHD/Xn5xlzMrHPbEKi7kGpbAKFP9TUEkmxsWXF2Ac2ABw+HrdlZKVmYYUe\nBzpb/P29kyal4NcXOjrCRiNfVkYhaVZT483KthUWpSHTd3X6W5sHS8YlmYzYkd7bF5dUjqoF\na48OOEY4C0qKkOkDHl9bY8u4fJ0tGS3371f8AbWsmMKxO94opjjT8kuw6nqiEG+pr7dm5hqt\n2BaR4lFBEvOKKRy7npZGZ4pIVZBDx4X80ebsLGzvVRQyMChS9famdslmN5dMzMHfcuxIR95I\n4+hcbC4Np6MdXbGCkrH4tce+jh6bUaaqq5oTQnaOtbAI23s7Ovytzd7S0hQD+pQgVYXe3q+Z\n5HQ609PTTSZTVVWV3+/Pzc195plnHnjgAQBobW2Nx+Nz585NpGQY5tprr33mmWei0ajZTHFS\n1JAzfIMnAEBVVZ+PYlFEQ0NDQ0NDQ+M7iEaj5eXlkUikpqYmGAz29PQIgmAymVQ1sbPhf31Z\np9Opqmp7e3tJScnQ2UvN8HXsjEaj2+1OT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+65Z+nSpQmR3ebmZlVVT5w4MW7cuM7OzqysrKlTpxJC2travueO3T9DU1PTa6+9BgD79u2L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\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tDoZxppVqqIb3RFg5M1WompK1XAVq8G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\nXu+Kaw0LM9NIjwcAgOo2ISlRmDmN4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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pheatmap(top.genes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fancy version of heatmap" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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o3+dfsOm9UKqZe5u4+YNu2HfT80NDQAVzFv7ry8S3kVDdAIHh/5eEFlwcWb0Ahm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LldcqDxwDvxY8/buurq73dr0HzK94coVc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TlWinaZQp7568U0eO9MAKZi5axPOjf5Zyx0Gv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\nBSwneFxXAaO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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pheatmap(top.genes,\n", " annotation_col = annot,\n", " color = colorRampPalette(c(\"red3\", \"black\", \"green3\"))(50),\n", " annotation_colors = list(grp = c(Y = \"blue\", N = \"yellow\")),\n", " show_rownames = FALSE, show_colnames = FALSE,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MDS of top genes" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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p07X6YvAtAPK1bIuHHy/fdy/Lj88IP8/LMkJMjgwRIUJLGxSoeDoaDYweDY2dnd\nuHFD69KNGzfs7e0Ld9ht27ZZWVnlP41brVq1jh07RkREFO6wAPTGJ5/I+PHSq9c/E1NT+ewz\nadVKPvtMuVgwLBQ7GJymTZteuXIlKioqzzwrK+vXX39t1qxZ4Q576dKlKlWqmJiY5F+qUaPG\npUuXCndYAPrh/Hk5d07eekvL0ltvye+/6zwQDBTFDganUqVKffr06du3b3x8/ONhZmZm//79\n09PTBw4cWLjD2tra3r59W+vSrVu3SpcuXbjDAtAPN2+KiDg7a1lydpaUFOFCW+gExQ6GKCws\nrFatWp6enh07dhw1alSfPn2qVq0aGRm5adOmQp+K9ff3P336dFxcXJ55VlbWpk2b/P39Xzo1\ngBLMyUlE5OJFLUsXL0q5cmJkpONEMEwUOxgiKyur9evXr1u3rkaNGidOnLCwsJgwYcLx48fr\n1atX6GN6enp26NChd+/eV65ceTzMysoKCQl5+NCToggOoKRydxcvL1m6NO9co5FvvpG2bZXI\nBEPEc+xgoIyMjNq1a9euXbsiPGZ4eHj79u09PDw6depUs2bNxMTEbdu23bt3b/369YXeCASg\nN6ZNk06dpHx5GTZMzMxERO7eleHD5cgR+e47hbPBYLBjBxQZBweHXbt2LVy40MLCYuvWrbdu\n3Ro0aNDx48d9fHyUjgag+LVtK+Hh8tln4uwsLVqIn5+4uEhkpGzdKpUrKx0OhoIdO6AomZqa\nvvXWW29pvTMOgOr16iXt2sm2bXL8uFhayqefSqtWYm6udCwYEIodAABFx85OunVTOgQMF6di\nAQAAVIJiBwAAoBIUOwAAAJWg2AEAAKgExQ4AAEAlKHYAAAAqQbEDAABQCYodAACASlDsAAAA\nVIJiBwAAoBIUOwAAAJWg2AEAAKgExQ4AAEAlKHYAAAAqQbEDAABQCYodAACASlDsAAAAVIJi\nBwAAoBIUOwAAAJWg2AEAAKgExQ4AAEAlKHYAAAAqYap0AAAAgOKk0UhMjMTFiYh4ekrdumJk\npHSm4kKxAwAA6hUTI2+/LbGxUrGiiMiFC+LlJd9/L3XrKp2sWHAqFgAAqNTp09KihXh6SlKS\nJCRIQoIkJYmnp7RoIadPKx2uWFDsAACASo0fLz4+8sMP4uLyaOLiIj/8ID4+Mn68osmKC6di\nAQCAGmVny8aNsmaNGP97G8vYWD78ULp1k+xsMTNTKFxxYccOAACo0Y0bkpkp1ZqFUckAACAA\nSURBVKtrWapeXTIz5cYNnWcqduzYAQBQzB48kHPn5MQJsbMTLy9xcFA6kGEoXVpE5NYtLUsP\nh7a2Os2jE+zYoSR68ODB2bNnN2/efPTo0aysLKXjAMBL+PNP8fSU6tWld29p2VLKlpV335U7\nd5SOZQBsbKRuXfnlFy1L69ZJ3bpiba3zTMWOYocS5+eff65SpUq1atUCAwO9vb3LlSsXGhqa\nm5urdC4AeHGRkfLmm/LGG3L+vNy5I+npsmWL7N0rbdoI/2rVgfHj5auvJCLiX8OICPnqK26e\nAHTh22+/ff/998ePHz9gwAB3d/dbt25FRESMGjXqwoULixYtUjodALwIjUYGD5b+/WXhwkcT\nc3Np1erRHt7ixTJ0qKL5DEBQkMTHS1CQ+PtLgwYiIvv2ye7d8n//J0FBSocrFuzYoQRJSUkZ\nMWLEzJkzJ0+e7O7uLiKvvPJKv379Nm7cuHTp0ujoaKUDAsCLiIuTEydk3Li883LlpH9/+fln\nJTIZnnHj5NAhadBAYmMlNlYaNJBDh7T8pqiFXu7YZWZmJiQkpKamioidnV2lSpXMzc2VDoUi\nsHnzZjMzs8GDB+eZN2zYsFWrVqtWrWrUqJEiwQCgMBISpHRpcXfXslSnjvz4o84DGSpvb/H2\nVjqEjuhTscvIyAgLC/vhhx+OHDny4MGDx3MTExNfX99+/fq98847pqb69CtCHufOnatVq5bW\n30RPT89Tp07pPhIAFJ6VlWRmSk6O5P/PWmqqWFkpkQkqpzc16Pbt2y1atIiJiXFwcGjZsmWF\nChWsra1FJDU19fz58/v373/vvfd++OGHzZs3lypVSumwKKRSpUqlp6drXUpPT+d3FoCeef11\nEZFt26Rdu7xLGzaIn5/uE0H19KbYffLJJ0ePHl24cOGAAQPM8j0nOj09febMmRMnTpwyZUpo\naKgiCfHyfH19x44dm5iY6Orq+uQ8Jydn+/btISEhSgUDgMKwt5f+/WXoUKlT59Eb6B9avFi2\nbpUDB5RLBtUy0mg0Smd4Lm5ubm3atPnmm2+e8ZmePXvu27fv/PnzRftTL168OCQkJDU11cbG\npmiPjDwePHjg5+dnb28fERFh9b+TFBqNZvTo0d9+++2pU6fKli2rbEIAeDH37kmnTnLggPTo\nIa++KnfuyB9/yO7dsmiRvPuu0uFQSFlZWRYWFlFRUSXwym+92bG7fv16nTp1nv2Z1157bd26\ndS902AsXLjRs2DAzM/MZn7l//76I6EsD1mvGxsarVq1q1apVnTp1goODa9asefny5V9//fXk\nyZNr166l1QHQP1ZWsnWr/PijbNggixeLvb14e8vcuVLQ32hA4ehNsXN2do6NjX32Z44ePers\n7PxCh3V1dV24cGF2dvYzPrN9+/YlS5YYGRm90JFROJUrV46JiZk/f/7OnTt//PFHV1fXRo0a\nrV69uuKTZzEAQI+YmEjfvtK3r9I5YBD0pth16dJlwYIFDRo0GDBgQP67JjMzM+fNm7dy5cr/\n/ve/L3RYU1PTLl26PPszt27dWrJkyYvFxUuwtbUdP378eJU+ExwAgOKjN8Vu8uTJkZGRgwYN\n+vjjj318fNzd3W1sbDQaTVpaWkJCwoEDB+7evevn5zdp0iSlkwIAAChDb4qdg4PDnj175s+f\n/+OPP27btu3JK96MjY3r1av39ttvDxw4kCcVAwAAg6U3xU5ErK2tx4wZM2bMmHv37j1884SR\nkVHp0qUrV65saWmpdDoAAACF6VOxe8zKyqp27dpKpwAAAChZjJUOAAAAgKKhlzt2AADon8hI\nWbFC4uLExES8vKRvXy1vFUtMlFWr5NgxycmROnWkWzepXFmJrNBX7NgBAFDMNBoZPlxat5bk\nZOnUSQIC5MIF8feXPE9yWL5cqleXxYslJ0dMTWX5cvHwkHnzlMkM/cSOHQAAxezrr+Wbb+SP\nP6RJk3+GmzbJf/4jnp4SFCQismuX9Osns2bJkCHy+JH4y5dLv37i7i4FPXIVeIgdOwAAitn0\n6TJu3L9anYi0aydDh8qXXz76csoU6d1bhg6VJ1901KePDB+ed2MPeDqKHQAAxen6dTl7Vjp1\n0rLUsaMcOiTZ2ZKbK3/+Kb16aflMz55y5IjculXcMaEOFDsAAIpTWpqIiK2tliU7O3nwQO7d\nk9RUycmRcuW0fMbJSUQodnhOFDsAAIqTi4uYm8vJk1qWTpwQe3uxtRU7O7GykgsXtHwmIUGM\njR/VO6AgFDsAAIpTqVLSvr3MmCEPHvxrnp0tc+ZIYKAYGYmRkbRrJ4sWyRMvzHxk0SJp2lRK\nl9ZZXug1ih0AAMVs2jQ5eFC6d5czZx5Njh2Tjh3l0iWZPPnRZMoU2b1bQkLk7t1Hk/R0GTNG\n1qyRL75QIDP0E8UOAIBiVr267Nolly5J9eryyitiZyeenpKZKbt2iavro8/UqiVbtsi2beLk\nJK+/Lr6+4uQky5fLr79KgwaKpoc+4Tl20JGkpKQlS5bExMQkJyfXqlXrzTffDAoKMjbmnxYA\nDIOnp+zbJ2fOSGzsozdP5H+lROPGcvq0REbK0aOSmyuentKihVhaKhEX+opiB13YunVrjx49\n3N3dW7du7evre+zYsX79+i1dunTdunXW1tZKpwMAXalWTapVe9YHzMykdWtp3VpXgaA2FDsU\nu0uXLgUGBg4ZMuTzzz9/vEWXkJDQunXrIUOGLFu2TNl4AACoBifCUOzmzZvn4eERGhr65InX\nSpUqLVmyJDw8PCkpScFsAACoCcUOxS4qKqpz585GT74kR0REmjVrZmtru2fPHkVSAQCgPhQ7\nFLu0tDR7e/v8cyMjI3t7+7SHz2QHAAAvjWKHYufu7n769On889TU1KSkJHd3d91HAgBAlSh2\nKHZdu3b98ccfr169mmc+b948e3t7f39/RVIBAKA+FDsUu759+3p4eLRo0SIqKkqj0YhIamrq\n559/PnHixK+++src3FzpgAAAqASPO0GxMzU13bRp05AhQ5o2bWplZeXo6Hjp0qWyZcsuX768\nZ8+eSqcDAEA9KHbQBXt7+x9++GHatGl///33wzdPeHt7W/I4dQAAihTFDrrj6urq+vitiE9x\n48aNffv2xcfHu7q61q9fv3L+V+4AAICnoNihpNBoNJ9//vnUqVNNTEyqVat2+fLlW7duvfXW\nWwsXLrSxsVE6HQAAeoCbJ1BSTJkyZdq0aUuXLr1z505MTExycvJff/21Z8+eoKCgh7dcAACA\nZ6PYoUS4cuXK559/vmzZsuDg4MdvHmvUqNGWLVt27dq1YcMGZeMBAKAXKHYoEbZs2VKmTJmu\nXbvmmVetWrVdu3br169XJBUAAPqFYocSITExsUqVKvnfJysiVatWvXz5su4jAQCgdyh2KBHs\n7Oxu3bqldenGjRtaXzULAADyoNihRGjatOmJEyfi4uLyzO/du7dp06amTZsqkgoAAP2i/XEn\nM2bMKNzhRo0a9RJhYLi8vb07dOjQq1evTZs2ubu7Pxzeu3evb9++FhYWffr0UTYeAAB6QXux\nGz16dOEOR7FDoYWHh3fu3NnDwyMgIKBGjRqJiYnbt28vVarUxo0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169YtXrw4LS1NB4EAAABQOAXfPFGxYsUuXbqEhISEhIQ4ODjkf3zd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\nKMD+8eYJoOXq0aNH69atN2zYUPfg6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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mds <- cmdscale(dist(t(top.genes)))\n", "plot(mds, col=as.integer(grp))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise 1**\n", "\n", "Load the `iris` data set. Each row has 4 features and a Species label. \n", "\n", "- Reduce the dimensionality of the features to 2 using each of the methods described above (PCA, MDS). \n", "- Plot scatter plots for each method, coloring by Species. \n", "- Are the Species separate in these dimensionality-reduced plots?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise 2**\n", "\n", "Load the `iris` data set. Each row has 4 features and a Species label. \n", "\n", "- Scale the data to have zero mean and unit standard deviation\n", "- Calculate a pairwise distance matrix (explore different distance measures)\n", "- Perform hierarchical clustering (explore different linkage measures)\n", "- Plot a dendrogram for the hierarchical clustering, showing 3 clusters (see the `rect.hclust` function)\n", "- Create a scatter plot of the first two features colored by the cluster label (see teh `cutree` function)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise 3**\n", "\n", "Load the `iris` data set. Each row has 4 features and a Species label. \n", "\n", "- Scale the data to have zero mean and unit standard deviation\n", "- Perform k-means clustering using 2,3,4 and 10 clusters\n", "- Create a scatter plot of the first two features colored by the cluster label for each cluster number \n", "- How could you assess how many clusters is appropriate?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.6.0" } }, "nbformat": 4, "nbformat_minor": 2 }