*** using JavaScript, higher order programming, and the Google Chart API. ***

The benford function must be implemented solely using, String's split method (Links to an external site.)Links to an external site., Array's map (Links to an external site.)Links to an external site., Array's filter (Links to an external site.)Links to an external site., and Array's reduce (Links to an external site.)Links to an external site..

Finally, you will create a file named benford.html. It will allow the user to select one of the example benford datasets (by name) in a dropdown menu. Whichever the user selects, the frequency data (as computed by your benford function) will be computed to percentages, and will be displayed using a Google Charts column chart

** You will fill in the functions implementing them according to the comments Bottom javascript file***

/** * Takes an array of numbers and returns an array of size 2, * where the first element is the smallest element in items, * and the second element is the largest element in items. * * Must do this by using a single call to reduce. * * For example, minMax([4, 1, 2, 7, 6]) returns [1, 7] */ function minMax(items) { }

/** * Takes an array of items, and returns a Map with the * frequencies (counts) of each item in the array. * * Must do this by using a single call to reduce. * * For example, * freqs([1, 2, 3, 2, 7, 2, 1]) returns Map {1 => 2, 2 => 3, 3 => 1, 7 => 1} * freqs("One fish two fish red fish blue fish".split(' ')) * returns Map {"One" => 1, "fish" => 4, "two" => 1, "red" => 1, "blue" => 1} */ function freqs(items) {

}

/** * Takes as input a string containing numbers separated by newlines (see data below). * Uses string split, and then map, filter, and reduce solely to compute * the frequency, as a Map, of the first digit of each number * (except for numbers starting with 0). * It must throw away numbers that start with 0 and blank entries. * The returned Map must contain numbers as keys -- NOT strings containing numbers! * * For example, benford(sample1) returns Map {1 => 3, 2 => 2, 3 => 2, 7 => 2, 9 => 1} * benford(sample2) returns Map {1 => 3, 2 => 2, 3 => 2, 7 => 2, 9 => 1} */ function benford(strNums) {

}

// data for benford // NOTE: So you don't have to search to find the variables, the names of the variables are // sample1, sample2, livejournal, librarybooks, & sunspots let sample1 = '101481 10974 1013 28292 35040 35372 7155 7284 96110 26175 '; let sample2 = '101481 10974 1013 0 28292 35040 35372 7155 7284 96110 26175 '; let livejournal = '10 4 12 5 7 8 5 15 11 3 3 2 6 2 9 6 6 3 9 7 7 13 7 11 6 12 14 4 15 9 12 6 11 9 8 6 9 7 10 5 9 12 3 6 5 13 8 5 9 12 6 7 8 12 6 7 9 12 9 11 8 8 3 9 13 13 8 5 13 5 13 10 10 10 7 13 37 8 9 8 6 12 7 8 8 8 7 4 2 12 15 10 9 23 13 14 24 13 10 9 15 25 24 23 16 12 12 12 24 14 9 18 18 19 27 27 39 46 46 30 26 69 72 47 61 32 34 38 89 57 71 63 60 31 45 38 45 53 46 64 47 40 65 59 65 62 59 39 73 82 65 95 75 74 54 60 78 68 83 89 59 76 82 104 92 74 91 80 80 82 90 76 86 78 67 60 76 62 76 85 79 72 72 85 77 62 78 69 78 83 96 90 100 88 98 94 82 87 111 126 118 120 101 73 79 110 87 97 95 98 78 119 111 113 144 109 108 87 133 109 96 112 139 108 92 129 151 176 127 132 129 115 132 152 147 144 145 119 113 115 134 130 130 136 152 133 141 149 157 157 141 109 137 159 184 172 158 122 131 130 154 144 177 147 130 122 129 121 101 113 132 136 113 112 145 152 156 151 161 138 108 165 192 197 191 181 158 148 202 182 188 185 164 161 177 188 208 194 179 162 137 147 181 180 146 180 178 135 166 200 183 148 177 164 197 272 302 259 276 274 254 235 201 258 253 249 228 222 198 217 287 241 252 243 274 228 210 262 287 312 287 261 264 266 273 288 250 252 280 248 313 314 291 313 372 268 286 287 241 219 157 259 244 271 309 269 382 334 254 197 21 446 257 285 322 370 353 348 419 431 446 433 440 412 390 446 533 496 470 460 517 464 467 484 539 530 509 523 457 464 460 539 546 538 478 521 463 601 504 499 436 517 476 434 558 628 603 636 640 539 553 603 675 696 635 575 537 562 678 704 701 651 612 585 548 657 678 745 721 702 590 680 758 803 678 835 764 707 678 842 892 856 823 799 722 702 845 951 929 888 851 840 695 963 898 905 924 907 872 809 979 1184 1157 1172 1050 938 1002 1200 1152 993 911 854 999 1021 1159 1160 1152 1055 1135 1037 1087 1241 1341 1236 1222 1191 1107 1119 1358 1433 1339 1351 1275 1154 1014 1403 1498 1515 1439 1420 1256 1221 1434 1605 1735 1670 1542 1445 1389 1758 1789 1636 1828 1684 1506 1449 1683 1630 1928 1788 1874 1621 1605 2484 2060 2215 2080 2205 1870 1686 2073 2302 2217 2271 2304 1993 1810 2052 2332 2418 1861 2464 2171 1949 2464 2598 2602 2422 2402 2021 1747 2149 2125 2398 2280 2307 2110 1861 1923 2036 1982 1890 1943 1883 1686 1791 1725 2227 2213 2255 2113 1541 2086 2514 2364 2204 2295 2166 1966 2201 2072 1900 2300 2348 2056 2033 2350 2256 2136 2185 1798 1344 648 764 1333 923 780 692 590 713 712 703 458 585 575 527 631 697 694 717 753 731 661 698 828 790 744 783 737 581 622 896 803 804 817 695 661 695 858 842 763 731 860 695 675 901 844 687 753 727 612 621 828 930 839 794 728 579 597 800 880 282 687 603 680 744 814 974 937 832 775 728 679 812 921 882 824 763 611 585 656 661 659 677 592 618 644 797 720 723 621 610 621 616 684 643 587 600 533 436 598 745 729 789 758 626 613 615 771 749 810 676 488 611 551 650 485 515 618 754 739 695 844 652 906 1040 1014 859 831 924 736 918 930 869 787 773 1047 880 993 919 908 856 868 992 1200 1098 934 954 848 825 1014 1073 1022 1020 1008 848 796 922 739 928 919 889 814 820 840 948 1023 885 784 790 772 1021 1207 1099 1102 1030 904 862 946 1031 944 970 960 810 837 923 1018 937 929 904 730 748 930 884 917 967 930 804 752 1008 1088 1178 1062 1039 849 878 1070 1159 1067 1186 1048 966 908 1106 1229 1094 1292 1186 963 1015 1167 1306 1265 1152 1152 994 954 1165 1074 1016 971 1003 841 912 1158 1147 1074 1134 1048 876 882 1142 1086 1094 1070 1084 902 841 1032 1185 1102 1084 1059 882 860 942 1129 1115 1152 977 935 935 1114 1244 1206 1151 1122 1012 880 984 1188 1245 1384 1253 1029 953 1092 1320 1292 1256 1219 1016 972 969 1308 1271 1219 1243 1075 944 1117 1300 1276 1261 1208 1074 911 1125 1291 1291 1324 1283 1141 956 1162 1355 1340 1242 956 1030 1048 1241 1452 1390 1346 1180 1116 1039 1238 1384 1409 1288 1183 1172 998 1231 1287 1415 1414 1274 1122 971 1137 1359 1457 1349 1301 1154 943 1166 1321 1270 1297 1262 1101 946 1218 1249 1339 1302 1239 1142 1067 1189 1286 1314 1278 1302 1057 1054 1154 1283 1241 1286 1140 1049 1003 1100 1435 1326 1252 1254 1026 1040 1247 1268 1334 1192 1038 1072 1058 1292 1276 1201 1213 1113 948 973 1224 1310 1312 1191 1086 997 937 1244 1281 1339 1229 1167 983 914 1251 1228 1293 1167 1128 967 974 1247 1393 1267 1221 1117 974 910 1198 1290 1320 1223 1145 940 892 1301 1352 1289 1251 937 1017 1034 1267 1349 1364 1289 1251 1042 1019 1391 1509 1304 1324 1243 1001 996 1299 1393 1337 1351 1181 1059 982 1241 1339 1261 1110 900 1002 1019 1352 1419 1335 1370 1296 1081 1034 1365 1386 1397 1367 1308 1108 1056 1335 1417 1325 1236 1113 1078 931 1094 1215 1011 897 1091 1146 1086 1367 1464 1085 1489 1755 1674 1540 1734 1547 1601 1559 1139 1375 1395 1694 1627 1521 1692 1571 1388 1316 1603 1778 1624 1627 1517 1431 1302 1568 1727 1596 1493 1532 1360 1309 1627 1559 1557 1488 1543 1585 1289 1737 1854 1678 1681 1473 1165 1388 1690 1915 2008 1187 1151 1481 1453 1913 1801 1688 1722 1574 1431 1389 1757 1835 1860 1746 1755 1489 1365 1835 1957 1847 1851 1770 1439 1430 1767 1825 1813 1854 1744 1542 1492 1800 1937 1936 1843 1787 1520 1491 2106 2156 1980 1970 1800 1617 1519 1949 2274 2057 2008 1938 1614 1477 1871 1593 2012 1890 1848 1760 1472 1894 2267 2147 2099 1989 1646 1597 2058 2061 2048 1967 1757 1557 1547 1764 2069 1918 1923 1878 1642 1571 1831 2010 1940 1774 1799 1474 1402 1669 1922 1638 1840 1737 1575 1397 1762 2045 1889 1755 1896 1722 1668 2000 2292 2205 2215 1878 1796 1720 2055 2327 2297 2201 2172 1852 1717 2093 2160 2275 2397 2340 2016 1731 1997 2315 2146 2384 2100 2050 1797 2031 2408 2241 2237 2101 1642 1759 2104 2535 2475 2474 2386 2087 1810 2131 2499 2458 2505 2324 2029 1648 2172 2521 2561 2554 2417 2059 1840 2314 2354 2547 2532 2644 2192 1913 2306 2754 2674 2494 2532 2319 1998 2288 2560 2612 2596 2333 2095 1931 2201 2523 2324 2567 2402 2161 1967 2311 2497 2343 2266 2257 2032 2005 2223 2631 2553 2409 2212 1941 2082 2511 2355 2353 2255 2122 1871 1919 2436 2273 2229 2131 2088 1795 1807 2365 2590 2337 2292 2089 1808 1914 2497 2466 2249 2081 2019 1870 1854 2356\;

let librarybooks = '12201 600778 14926 37863 14866 9896 8064 9047 3388 21625 8779 7150 9441 10993 7850 7445 276157 13902 13078 8658 22852 21803 17050 34419 3240 106000 8365 74343 55626 65248 15390 11693 8248 14566 11296 11300 17926 2199 42999 7842 28966 11068 2733 11538 29684 57448 11824 34681 10701 4000 13555 7685 6850 11500 46628 57232 21774 45531 8700 6520 10741 8458 43690 11735 18558 3213 4802 6500 4952 9255 4600 1050 7178 3817 991 14064 4200 4680 2566 4830 2781 5884 6564 1770 8150 1200 6274 9209 6730 9736 9577 54347 10750 17744 22453 15495 88085 23106 23881 14369 13288 13342 26620 138631 29630 6456 51633 15024 55406 6560 5269 11154 11754 14327 69097 13712 34644 41658 7411 11049 14406 39325 12748 16919 11355 18477 8413 10575 120267 30003 10964 10797 56317 54178 32269 4585 21266 16778 81866 23214 9286 36808 22391 60835 80181 15646 4595 15938 9427 18406 11948 5194 9703 25570 3379 55179 97155 28351 31501 13491 35222 48916 39503 48070 7462 4844 29115 34509 12115 68787 118471 38206 27880 54581 21749 84371 195148 39567 39269 33270 12361 30505 37559 63084 91828 24002 838199 79263 6795 36426 37444 7296 71540 39958 19368 202166 26299 45832 27269 6935 6544 43506 48289 49780 82463 12723 42096 19472 20769 25133 8079 15416 37707 6741 57895 16424 10223 9546 11191 17386 11239 14107 5074 30045 15093 24360 130751 48702 31434 3488 194374 29466 18207 19836 66204 64165 27097 7081 555157 15157 30990 13139 24089 20136 19702 19883 13268 41111 27591 15572 10690 9594 12098 75849 45096 31572 457317 548606 10524 13403 11173 8708 72595 24567 64146 73135 181323 42924 25447 80336 63823 9941 9803 20787 10975 37746 14269 13948 6840 6884 4669 7360 26544 12848 5750 20679 5903 11108 6066 6000 6012 3576 626802 323714 68950 256432 146451 113823 169210 167050 128452 125888 232511 137767 135473 141629 85552 154027 161829 94505 65116 109057 79587 39405 50078 80361 55431 85707 32564 66274 33645 41525 66650 305203 161068 105987 10600 28347 80294 89581 106637 97307 69884 15817 69033 47380 13431 60125 20692 62714 292561 289798 25450 76888 28834 516480 31116 26232 336551 553520 688918 1569039 684252 465367 21309 36489 188376 12027 364599 1287502 59218 11881 471204 238364 12650 39278 177256 50731 258261 13433 26111 13926 174283 4096 1010590 207224 153206 13719 134678 80796 451345 158548 292661 122653 433829 317077 46777 98397 324340 233170 280172 84372 58375 280458 86599 197680 415154 80902 99826 77408 101488 1109564 133059 94504 157165 50040 41198 122170 122775 331712 166878 229846 294739 1051127 260375 643741 75207 187754 70277 455137 62105 26859 460092 87357 996400 196968 89976 48381 17900 198899 135550 112096 973297 8146469 5765741 203094 369012 172779 140942 352997 123411 70083 95143 127276 333091 111953 161317 282374 162955 164321 176684 359139 1085403 256474 189563 2694942 276443 63836 329335 100272 122449 152913 237365 243647 51837 751950 50403 110969 73324 306248 83950 211363 210989 215493 415140 214747 1874695 215071 48086 116472 1045178 241439 100285 1286024 2897216 2165833 1574771 8717 241222 420249 107871 465719 306789 121846 349895 373602 296616 1373197 467184 80400 189748 356077 71841 66028 196297 56530 147957 485814 674819 122199 179161 619439 91451 756806 301785 143816 102494 558155 55000 1264321 96870 78826 140786 759378 120605 313134 74467 97324 417847 125323 114711 146474 22818 2350 91544 111580 99957 25943 65887 48414 298705 51729 67978 139051 42742 50198 54264 126575 961529 95825 19018 27362 171557 295000 6394 31157 439970 28746 425101 11292 30742 15060 23372 409740 129390 30360 15969 20156 48247 25086 44844 4669 6100 60947 10028 5595 2276148 19911 20605 425556 82522 153335 30979 119963 47560 19780 344330 42328 9000 142512 22237 75238 29726 7300 21486 5858 16200 14500 7117 17269 1036496 8338 8349 37012 11373 106853 11135 23525 46401 13267 19684 137449 240932 53882 131338 14603 11842 14711 10872 25314 266137 11250 74811 9644 4899 6840 15500 42420 9310 855590 87858 399240 17000 23502 13255 19275 60000 34564 65043 19000 55341 62329 4993 95848 11902 33393 32517 50000 13879 193071 46181 24750 14300 18235 20000 32105 89980 418997 53245 9883 10654 8561 10570 8864 8500 6119 6800 59885 16505 78417 19653 76626 7616 73846 84509 73846 35156 90477 24118 74111 41000 81050 17500 471705 29058 150210 60321 21285 35963 26935 10771 47352 12589 14680 52059 43777 35666 16658 61681 94836 364782 149940 23750 46940 40181 45956 26692 20842 15675 45459 46175 161197 60986 104773 56366 41834 32019 46177 118095 27080 8000 350837 108955 144501 16923 121289 2230 25200 59032 367915 61566 20377 21000 111549 42492 105517 22582 175724 407561 28668 41918 9200 57518 56280 37237 69578 9388 48170 23319 95301 170213 62942 30136 229841 50995 24735 175459 108091 69697 23185 15506 75205 236508 154765 46286 11000 35554 427510 112919 77392 89044 93197 27805 64859 21653 94117 43626 21600 247286 27545 104163 39951 59205 87247 29266 27801 59661 70025 91533 9009 53879 25834 20839 60510 23028 39062 37324 34047 106464 71784 31464 17670 29176 8811 51318 23480 137121 22400 136131 43856 85433 133255 107998 19620 31835 395754 17259 24104 150747 80651 50128 40802 52737 49001 151590 11800 54957 11704 188705 10081 35434 245801 103717 67858 39036 275154 154629 47898 190525 105242 17846 108951 50256 8491 57126 8821 112141 57073 49899 67343 68377 9785 18300 9103 14900 106339 49914 11802 12422 6814 16000 15177 2649693 13747 24682 20414 38431 42185 52699 25726 33094 32400 53022 24419 15467 268769 17042 33212 21936 19999 98736 93735 13560 544883 374808 163374 2127175 196964 1977768 152483 383160 765155 1180220 2109636 46225 38704 20650 154658 205290 456233 106674 51391 139875 53631 4215101 18232 84956 103898 90076 2254918 329783 269346 116111 60149 981948 65104 491763 347472 239881 166814 69064 113292 146344 47339 69292 577793 124294 255631 310155 800974 37729 510377 42098 763519 46303 106570 41214 217002 343205 166245 95892 1981430 23000 95358 146392 38978 69201 1520031 107897 251225 638913 11291 228857 20982 157544 59932 187243 77637 58670 454480 50675 179225 494290 674404 41155 241541 334263 308636 828747 140975 115007 139184 792744 247516 304337 69550 426194 2255387 271677 54886 689844 201325 65839 51920 202007 53952 141520 209916 106563 137347 193148 327267 93710 64845 563570 96768 85496 369573 199713 113880 85074 324068 96564 233702 152764 298254 94874 118249 182811 111704 34989 168195 171074 79650 3052053 60743 5964 39367 7631 18455 26554 30334 17955 28651 7758 71264 4947 7847 11031 9604 27016 15456 8552 7155 12089 26584 56679 7634 10203 427008 17386 8099 5493 1685 5377 41184 10805 18900 16293 16627 12549 47031 148096 10800 4841 26898 13677 4553 54437 35185 11189 8291 14073 182589 70868 7722 17528 16459 10413 21485 7948 56015 10478 9147 12842 38498 16791 12716 8539 7285 25736 136613 15216 5129 11127 23186 97321 44423 8542 11536 11227 13708 6075 9072 10498 32928 15977 6838 12854 7081 6074 53234 8682 14978 7651 24692 6662 6499 5605 10622 30037 11185 6960 54946 10532 10880 15074 10090 8580 7103 37068 19201 10781 18753 7916 11317 9097 12339 19673 37751 31690 9336 14038 17892 41963 6203 11727 14987 9349 6321 14554 24926 14843 16245 18938 15120 13005 12217 15343 6228 7758 10213 13051 34118 214862 37779 4670 60610 12996 107913 127996 37910 31556 8350 17330 28909 6926 70329 15052 18209 4811 69877 29062 60110 11237 1373 13838 6711 8038 9691 23567 17326 8594 2358 10895 21337 25386 18208 41411 30273 41535 7272 15547 15008 7688 13334 27023 6349 6774 66639 14655 12462 7672 3475 8121 5645 11305 7346 58115 5926 4058 19145 15263 7964 7587 14189 8627 88555 9837 8478 7300 6348 10447 9687 19921 102779 16372 46945 9176 11727 4513 200737 8237 6673 11945 50001 7920 23348 16542 8094 17365 18879 7880 5922 9681 4916 46053 11126 5795 18320 3761 22160 7489 6938 12136 5421 4880 41517 14430 8220 5064 15988 8154 6455 13944 15430 7449 11289 74268 9260 6577 6880 9852 20366 24452 5143 6787 18124 7030 18870 30269 4875 8101 9884 11887 5251 5686 6376 14720 21431 36634 10996 9696 10120 50744 5257 7873 22078 10101 27888 4555 13292 4066 4984 18622\;

let sunspots = '58 63 70 56 85 84 95 66 76 76 159 85 73 76 89 88 90 100 85 103 91 66 63 75 70 44 45 56 61 51 66 60 24 23 29 44 35 50 71 59 60 40 78 29 27 47 38 40 44 32 46 38 36 32 22 39 28 25 20 7 0 3 2 14 21 27 19 12 8 24 13 4 10 11 7 7 0 0 9 3 18 24 7 20 13 7 5 9 13 13 4 6 12 14 17 9 14 21 26 30 38 13 25 51 40 33 65 34 38 52 49 72 46 45 44 39 63 38 43 43 48 44 47 47 49 50 51 71 77 60 46 57 67 60 75 58 72 48 66 76 61 51 60 61 70 91 81 72 107 99 94 91 101 89 90 46 44 73 46 60 40 77 34 68 69 69 78 77 57 32 34 33 33 36 54 27 68 46 61 61 60 60 40 34 44 30 30 30 28 28 26 26 24 26 25 22 20 20 27 30 16 14 14 13 12 11 37 6 27 3 3 4 4 5 6 19 27 30 43 33 30 33 22 41 43 44 55 53 54 66 46 43 78 77 53 67 75 78 91 112 74 64 64 97 74 94 119 120 149 158 148 112 104 143 80 51 70 83 110 126 104 104 132 102 36 46 47 65 153 120 68 59 101 90 100 96 101 91 31 92 38 57 77 56 51 79 61 64 55 29 51 33 41 28 28 13 29 26 41 43 47 65 56 44 51 29 18 7 8 14 18 12 4 0 12 11 4 12 1 8 3 6 15 8 22 12 6 22 11 19 1 24 16 30 35 40 45 37 39 96 80 81 95 112 116 107 146 157 177 109 134 145 239 172 153 140 172 156 150 105 115 166 118 145 140 114 143 112 111 124 114 110 70 98 98 95 107 88 86 86 94 77 60 59 99 75 53 68 105 98 74 66 51 27 67 35 54 38 37 41 54 38 37 44 34 23 32 30 28 39 27 28 23 25 32 20 18 8 15 11 13 8 11 10 6 9 6 10 10 8 17 14 7 8 9 16 21 26 36 20 32 47 40 27 37 48 48 85 92 59 83 90 112 112 116 113 135 106 87 127 135 99 128 137 157 157 142 174 138 129 143 109 113 154 142 136 141 142 95 130 114 125 120 123 124 120 117 103 112 90 134 136 103 128 96 94 93 91 69 87 77 84 82 74 73 62 74 77 74 64 71 43 67 62 67 66 58 64 63 76 62 61 46 60 59 59 57 56 56 55 56 53 52 51 50 29 24 47 44 46 45 44 38 28 56 42 41 40 11 29 67 51 21 40 13 19 31 17 13 26 14 20 25 18 22 24 16 32 21 7 27 2 18 11 8 5 14 4 4 4 7 11 4 6 6 7 6 3 2 4 12 1 0 0 0 3 2 2 13 10 2 13 22 8 8 11 2 0 0 5 3 9 7 9 14 0 5 24 21 20 12 12 11 40 27 29 30 31 32 31 35 39 34 33 40 48 48 47 41 42 44 46 48 50 52 39 35 50 50 51 30 25 44 36 48 34 45 54 51 48 45 48 48 51 33 35 30 43 53 62 61 60 61 44 51 38 39 41 38 43 44 29 41 38 39 30 33 28 26 26 30 26 24 27 25 24 12 12 10 24 10 12 13 12 6 8 3 0 0 5 0 12 14 14 7 8 12 5 11 12 7 9 1 3 2 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 2 6 1 1 11 2 1 0 1 1 1 16 5 4 8 10 0 10 2 17 6 11 18 8 15 28 17 14 22 12 6 24 6 15 19 2 8 19 15 20 19 32 26 32 10 56 36 47 32 34 37 65 26 69 74 59 44 44 39 23 48 56 38 30 36 58 96 26 21 40 50 45 37 26 29 28 35 22 25 35 53 36 28 32 26 32 11 26 33 21 4 20 20 35 31 26 15 28 25 31 19 27 5 19 29 11 21 26 5 9 8 9 22 4 6 9 2 2 3 5 4 19 4 0 0 1 16 14 2 6 8 2 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 20 22 11 0 19 3 0 0 1 21 25 0 1 5 16 22 4 16 15 31 26 16 16 12 22 18 18 37 24 32 37 53 40 19 51 40 68 35 47 58 46 56 57 42 54 50 56 48 46 53 64 65 61 89 98 54 76 50 55 57 47 43 49 72 95 67 74 91 78 53 57 68 57 52 72 85 106 66 65 44 51 62 84 81 82 48 50 93 55 38 33 45 55 38 46 44 29 31 56 55 27 41 27 14 9 8 21 14 28 11 15 12 3 13 1 7 6 12 8 6 10 5 18 4 1 9 8 9 4 12 25 31 35 8 25 20 62 44 33 60 59 101 95 100 78 89 108 98 143 111 125 117 108 95 137 121 206 188 176 135 138 112 158 163 134 96 124 107 130 145 85 141 127 138 95 108 79 74 91 77 80 106 103 78 62 54 55 85 131 133 91 69 64 81 88 68 66 69 49 61 58 74 55 54 54 24 30 30 40 68 56 31 39 37 29 20 39 20 22 22 27 25 21 13 27 18 38 41 18 13 4 8 10 21 11 10 12 4 5 19 13 9 15 14 21 12 4 21 24 7 22 11 22 26 44 43 57 48 31 31 32 30 41 39 60 39 51 64 69 60 65 47 55 107 56 60 66 63 45 86 45 75 85 52 141 161 180 139 110 159 112 109 107 102 129 139 133 100 132 115 160 157 132 96 103 81 81 78 68 94 72 99 97 78 89 83 44 62 70 39 62 86 71 55 61 76 105 65 57 63 63 36 57 68 63 51 71 68 66 61 65 55 47 42 40 38 67 54 45 41 43 38 48 35 40 46 50 34 42 29 23 15 20 21 27 24 21 19 16 22 13 28 22 12 11 17 4 9 5 0 3 0 10 4 3 1 5 0 7 0 5 5 6 4 5 8 7 14 7 5 11 29 16 22 17 42 41 31 37 39 35 58 38 41 45 57 55 80 91 52 67 84 88 90 86 91 87 95 107 106 115 97 81 82 88 99 71 107 109 117 100 92 90 98 96 62 78 101 99 57 88 78 83 80 67 54 81 63 65 44 54 64 84 73 63 67 42 51 41 48 57 66 41 54 41 33 48 22 40 38 41 58 47 66 36 41 58 55 55 29 34 58 29 49 39 40 29 35 34 27 38 22 17 25 13 32 38 25 18 13 17 9 13 7 14 9 2 0 1 9 5 3 2 5 5 10 14 10 25 16 16 27 37 27 31 29 34 47 62 59 68 61 60 53 41 104 108 59 80 81 59 78 104 77 115 158 160 176 136 132 154 136 146 148 130 88 125 143 162 146 92 103 110 80 89 105 90 80 120 88 102 108 110 106 93 115 103 112 84 87 107 98 76 48 45 67 68 47 47 55 49 61 64 46 32 45 38 68 61 28 34 29 29 15 22 34 29 12 24 13 15 2 13 18 10 14 15 31 2 5 2 15 9 10 14 10 8 24 9 12 16 22 14 6 6 17 7 14 2 3 7 8 0 6 6 0 0 5 1 4 1 1 1 0 6 2 5 8 11 6 12 13 7 24 27 19 20 24 34 22 48 66 43 31 30 36 53 52 52 44 61 77 58 53 64 55 47 45 70 67 96 64 45 45 40 58 59 84 42 61 47 43 82 32 76 81 46 53 84 85 76 92 87 88 76 67 51 53 56 62 48 37 47 43 72 50 55 73 84 67 50 40 39 31 22 30 26 57 44 31 27 30 17 21 9 0 13 10 13 4 7 20 16 23 21 7 7 7 21 13 7 8 5 7 7 3 3 9 2 11 7 1 9 7 4 2 6 9 21 7 2 0 7 5 1 5 2 5 1 12 9 17 11 10 8 14 22 10 21 41 48 59 33 54 52 42 33 69 76 50 70 80 76 77 101 63 71 65 79 75 73 66 88 85 90 89 129 78 80 75 94 83 85 52 82 101 99 106 70 66 76 57 60 63 67 61 77 68 72 48 69 58 68 47 71 29 57 52 44 28 49 45 27 61 29 38 43 41 29 29 31 20 11 28 22 48 14 8 33 30 36 38 15 26 22 9 31 35 34 31 13 20 9 18 14 8 21 14 3 8 13 8 11 9 14 9 16 15 12 8 4 8 13 5 0 0 2 5 0 10 6 1 1 1 4 4 0 6 0 12 0 3 1 1 2 8 16 10 1 8 17 14 26 15 16 28 29 11 39 45 46 32 25 37 43 40 42 51 58 30 54 38 55 55 86 57 39 48 49 73 59 55 79 107 56 46 31 65 55 58 63 104 48 56 18 39 65 76 108 61 53 43 40 50 54 85 65 62 47 39 34 29 58 41 48 40 91 87 32 46 40 57 47 66 32 36 23 36 23 39 58 56 54 26 32 21 8 22 12 14 12 26 38 5 6 3 9 8 17 9 2 4 4 4 3 4 2 0 0 5 5 4 4 3 0 10 5 1 6 2 3 1 1 0 0 2 0 1 3 1 4 3 3 3 17 5 11 5 8 13 8 16 22 23 42 39 41 33 69 72 70 50 54 43 35 45 55 67 72 75 68 54 35 45 51 66 53 75 72 95 75 114 115 120 155 129 72 96 129 96 65 72 81 77 59 108 102 80 85 83 59 48 80 67 52 88 111 65 69 55 53 42 35 51 54 70 15 33 39 28 19 36 50 27 30 32 28 27 32 22 34 42 23 18 18 18 20 12 26 55 11 8 6 11 7 5 6 7 18 5 2 3 6 3 9 4 1 13 12 10 3 1 5 2 11 21 24 28 19 25 26 23 17 6 23 18 32 43 48 39 38 60 69 59 99 72 70 63 39 64 74 52 62 61 72 61 79 82 93 70 94 79 59 55 54 68 63 67 45 84 74 85 81 77 91 98 84 90 61 50 59 69 63 50 53 58 72 70 66 34 54 81 108 65 50 35 38 37 29 22 25 32 34 36 26 15 43 30 31 25 15 17 13 19 10 19 18 12 11 11 11 18 22 10 7 4 9 8 11 12 22 10 3 3 5 3 0 5 3 1 0 3 8 4 11 20 7 9 8 4 6 9 15 19 21 23 12 27 46 34 30 42 53 64 62 63 74 77 75 55 70 52 87 76 89 115 123 133 129 84 109 117 130 145 138 101 125 74 89 98 119 87 101 127 98 165 116 90 99 122 93 80 77 65 109 118 101 98 106 113 88 68 42 51 59 83 61 54 84 68 106 67 55 58 68 46 45 46 33 30 60 67 60 66 46 38 34 36 53 54 61 25 11 18 20 17 19 31 23 12 29 27 26 14 8 13 19 10 8 10 19 4 1 11 0 3 5 5 17 14 17 11 28 19 13 22 32 31 36 43 26 35 69 46 27 48 86 77\;