Day 12

2 files changed, 2035 insertions, 0 deletions

diff --git a/2017/12.hs b/2017/12.hs
new file mode 100644
index 0000000..44ef729
--- /dev/null
+++ b/2017/12.hs
@@ -0,0 +1,35 @@
+import Control.Monad
+import Data.Char
+import qualified Data.Map.Strict as Map
+import Data.Map.Strict ((!))
+import qualified Data.Set as Set
+
+
+parseLine :: String -> (Int, [Int])
+parseLine s =
+    let from : "<->" : tos = words s
+    in (read from, read from : map (read . takeWhile isDigit) tos)
+
+fixpoint :: Eq a => (a -> a) -> a -> a
+fixpoint f x = let x' = f x in if x == x' then x else fixpoint f x'
+
+pipeGroup :: Int -> Map.Map Int [Int] -> Set.Set Int
+pipeGroup start pipemap = fixpoint (expand pipemap) (Set.singleton start)
+  where
+    expand pm gr = Set.fromList (concatMap (pm !) (Set.toList gr))
+
+pipeGroups :: Map.Map Int [Int] -> [Set.Set Int]
+pipeGroups pipemap = go pipemap (Set.fromList (Map.keys pipemap))
+  where
+    go pm set
+        | Set.null set = []
+        | otherwise =
+            let (i, set') = Set.deleteFindMin set
+                grp = pipeGroup i pipemap
+            in grp : go pm (set' Set.\\ grp)
+
+main :: IO ()
+main = do
+    pipemap <- liftM (Map.fromList . map parseLine . lines) (readFile "12.in")
+    print $ Set.size (pipeGroup 0 pipemap)
+    print $ length (pipeGroups pipemap)
diff --git a/2017/12.in b/2017/12.in
new file mode 100644
index 0000000..1055030
--- /dev/null
+++ b/2017/12.in
@@ -0,0 +1,2000 @@
+0 <-> 1352, 1864
+1 <-> 430
+2 <-> 1202, 1416
+3 <-> 303, 363, 635
+4 <-> 1041, 1383
+5 <-> 143, 1513
+6 <-> 6
+7 <-> 619
+8 <-> 167, 1246, 1822
+9 <-> 577, 1274, 1347
+10 <-> 10, 899
+11 <-> 790
+12 <-> 606
+13 <-> 1134, 1894
+14 <-> 539, 1974
+15 <-> 683, 1783
+16 <-> 438, 1235
+17 <-> 17
+18 <-> 760, 1162
+19 <-> 1146
+20 <-> 678, 1235, 1397, 1911
+21 <-> 127, 615, 980
+22 <-> 22, 187
+23 <-> 192, 552
+24 <-> 169
+25 <-> 471
+26 <-> 1030, 1329, 1333
+27 <-> 1404
+28 <-> 1249
+29 <-> 1755
+30 <-> 198
+31 <-> 510, 1884
+32 <-> 1088
+33 <-> 54, 372, 616, 938, 1548
+34 <-> 1574
+35 <-> 238, 1411
+36 <-> 114
+37 <-> 1962
+38 <-> 1554, 1633
+39 <-> 72, 486, 1002
+40 <-> 40, 1224, 1342, 1511, 1886
+41 <-> 1244, 1644
+42 <-> 1784
+43 <-> 169, 1142
+44 <-> 96, 827
+45 <-> 842, 1512
+46 <-> 1248
+47 <-> 283, 1125, 1130
+48 <-> 212, 327, 1922
+49 <-> 490
+50 <-> 359, 1386
+51 <-> 1186
+52 <-> 414
+53 <-> 808
+54 <-> 33, 673
+55 <-> 614
+56 <-> 56
+57 <-> 257
+58 <-> 482, 701, 1702, 1921
+59 <-> 515, 695, 1073
+60 <-> 809
+61 <-> 865
+62 <-> 106, 764
+63 <-> 416, 1119, 1360
+64 <-> 552
+65 <-> 978, 1042
+66 <-> 97, 130, 168
+67 <-> 180, 339
+68 <-> 1076
+69 <-> 1550, 1621
+70 <-> 1163, 1574, 1834
+71 <-> 163, 1789
+72 <-> 39, 1461, 1693
+73 <-> 266, 652, 1612, 1877
+74 <-> 860, 936, 1685
+75 <-> 502, 768
+76 <-> 1064
+77 <-> 1685, 1967
+78 <-> 501
+79 <-> 743, 1261, 1608
+80 <-> 80, 1901
+81 <-> 1684
+82 <-> 82
+83 <-> 234, 504, 1159
+84 <-> 1529
+85 <-> 705
+86 <-> 362, 644
+87 <-> 223
+88 <-> 1870
+89 <-> 1412, 1633
+90 <-> 191, 1141, 1993, 1999
+91 <-> 588
+92 <-> 92
+93 <-> 918
+94 <-> 972, 1401
+95 <-> 1043, 1299
+96 <-> 44
+97 <-> 66, 1089
+98 <-> 1300
+99 <-> 243, 1220, 1957
+100 <-> 1327
+101 <-> 815, 1700, 1782
+102 <-> 427, 723, 780, 1033
+103 <-> 589, 1586
+104 <-> 486
+105 <-> 1296
+106 <-> 62, 1677
+107 <-> 1855
+108 <-> 174, 1792
+109 <-> 1518
+110 <-> 1943
+111 <-> 1799
+112 <-> 112, 845
+113 <-> 1189
+114 <-> 36, 1895
+115 <-> 775, 894, 987, 1832
+116 <-> 455, 1317
+117 <-> 436, 630, 944, 1229
+118 <-> 1316
+119 <-> 282
+120 <-> 1022
+121 <-> 446, 685
+122 <-> 908, 1189
+123 <-> 850, 1058, 1400
+124 <-> 124, 867
+125 <-> 316, 1198
+126 <-> 1938
+127 <-> 21
+128 <-> 514, 871
+129 <-> 597
+130 <-> 66, 187, 541, 952
+131 <-> 637, 728, 1951
+132 <-> 1480
+133 <-> 921, 1443
+134 <-> 506, 576
+135 <-> 1510
+136 <-> 755
+137 <-> 842
+138 <-> 1077, 1219
+139 <-> 1284, 1664
+140 <-> 403
+141 <-> 452, 1400
+142 <-> 142, 442, 1462, 1463
+143 <-> 5, 331, 492
+144 <-> 144
+145 <-> 844
+146 <-> 774, 1141
+147 <-> 351, 458
+148 <-> 1984
+149 <-> 499, 909, 935
+150 <-> 153, 1300
+151 <-> 151
+152 <-> 1331
+153 <-> 150
+154 <-> 783
+155 <-> 155, 1985
+156 <-> 1752
+157 <-> 716, 1144
+158 <-> 647, 750
+159 <-> 583
+160 <-> 493, 770, 1669, 1675
+161 <-> 161, 291, 1890
+162 <-> 744, 1088, 1250
+163 <-> 71, 803
+164 <-> 231
+165 <-> 1799
+166 <-> 1101
+167 <-> 8, 167
+168 <-> 66, 441
+169 <-> 24, 43, 1015
+170 <-> 414, 509, 1222, 1392, 1947
+171 <-> 180, 260, 1448
+172 <-> 1894
+173 <-> 585, 1662
+174 <-> 108, 1300, 1304, 1789
+175 <-> 574, 1245
+176 <-> 1776, 1809
+177 <-> 1625
+178 <-> 1463
+179 <-> 1469, 1648
+180 <-> 67, 171
+181 <-> 506, 1333
+182 <-> 1703
+183 <-> 370, 745, 816, 961
+184 <-> 1143, 1608, 1696
+185 <-> 431, 447, 633
+186 <-> 352, 752
+187 <-> 22, 130, 201, 232, 279
+188 <-> 921
+189 <-> 1460
+190 <-> 445, 891, 972
+191 <-> 90, 1078, 1383, 1957
+192 <-> 23, 1057
+193 <-> 1438
+194 <-> 196, 819, 873
+195 <-> 1403
+196 <-> 194, 508
+197 <-> 865, 1625
+198 <-> 30, 855, 1397
+199 <-> 399, 401
+200 <-> 458
+201 <-> 187, 457, 796
+202 <-> 754, 964, 1736, 1737
+203 <-> 937, 1890
+204 <-> 676, 1148, 1472
+205 <-> 205
+206 <-> 206, 872, 1504
+207 <-> 1575, 1717
+208 <-> 1349, 1582, 1619, 1952
+209 <-> 375, 523
+210 <-> 1029
+211 <-> 588, 623
+212 <-> 48, 404, 820
+213 <-> 213
+214 <-> 1370
+215 <-> 360, 412, 1507, 1800, 1874
+216 <-> 287, 634, 1023, 1986
+217 <-> 662, 1863
+218 <-> 417, 1154
+219 <-> 1250, 1442, 1962
+220 <-> 595, 935, 1153, 1181
+221 <-> 290
+222 <-> 1328, 1407
+223 <-> 87, 464, 925, 1131
+224 <-> 1398
+225 <-> 225, 768
+226 <-> 999
+227 <-> 311, 581, 697
+228 <-> 983, 1019
+229 <-> 719, 1469, 1820
+230 <-> 453, 806, 1205, 1449
+231 <-> 164, 451, 1741
+232 <-> 187
+233 <-> 664, 1419
+234 <-> 83, 295, 482, 1684
+235 <-> 622
+236 <-> 236, 1662
+237 <-> 287
+238 <-> 35, 1308, 1608, 1805
+239 <-> 1365
+240 <-> 1177
+241 <-> 387, 778, 1051
+242 <-> 1233
+243 <-> 99, 806, 1614
+244 <-> 609, 1468
+245 <-> 625, 1618
+246 <-> 841, 1835
+247 <-> 1720
+248 <-> 1382, 1859
+249 <-> 601, 1882
+250 <-> 250, 1189, 1603, 1673, 1793
+251 <-> 511
+252 <-> 627
+253 <-> 1195
+254 <-> 400, 1562, 1893, 1951
+255 <-> 285, 588, 1180
+256 <-> 1408, 1468
+257 <-> 57, 1211, 1940
+258 <-> 695, 1174
+259 <-> 610, 1176, 1516
+260 <-> 171
+261 <-> 268
+262 <-> 502, 837, 1963
+263 <-> 263
+264 <-> 622, 638, 1815, 1945
+265 <-> 570, 1590
+266 <-> 73
+267 <-> 336, 1040
+268 <-> 261, 1815
+269 <-> 652, 966, 1487
+270 <-> 508, 522
+271 <-> 1259, 1298, 1477, 1767
+272 <-> 553, 1103, 1982
+273 <-> 593, 1919
+274 <-> 934, 1361
+275 <-> 1839
+276 <-> 329
+277 <-> 1017, 1047
+278 <-> 671
+279 <-> 187, 853
+280 <-> 1097, 1370
+281 <-> 629
+282 <-> 119, 1431
+283 <-> 47, 974
+284 <-> 1359, 1471
+285 <-> 255
+286 <-> 321, 883
+287 <-> 216, 237
+288 <-> 630, 880
+289 <-> 289, 1853
+290 <-> 221, 1307
+291 <-> 161, 691, 1213
+292 <-> 808
+293 <-> 877, 1031, 1192
+294 <-> 294, 1935
+295 <-> 234
+296 <-> 520, 1725
+297 <-> 578, 702, 1184, 1209, 1431
+298 <-> 979
+299 <-> 1297, 1506
+300 <-> 540, 995, 1187, 1774
+301 <-> 675
+302 <-> 739, 842
+303 <-> 3, 1149, 1369, 1484
+304 <-> 690
+305 <-> 1306
+306 <-> 481
+307 <-> 474, 1723
+308 <-> 323
+309 <-> 995
+310 <-> 544, 797, 1000
+311 <-> 227, 927, 1127
+312 <-> 1519
+313 <-> 1989
+314 <-> 314
+315 <-> 536, 560, 1758
+316 <-> 125, 582, 679, 1362
+317 <-> 317, 510
+318 <-> 1382, 1678
+319 <-> 682
+320 <-> 1733
+321 <-> 286, 575
+322 <-> 905, 1898
+323 <-> 308, 366, 788, 1022, 1119, 1615
+324 <-> 1151, 1390, 1540
+325 <-> 1022
+326 <-> 335, 1858
+327 <-> 48
+328 <-> 1076, 1456
+329 <-> 276, 329, 1268
+330 <-> 796, 919, 1330, 1565, 1926
+331 <-> 143, 1522
+332 <-> 831
+333 <-> 1746
+334 <-> 1254, 1844
+335 <-> 326
+336 <-> 267, 913
+337 <-> 454, 1365, 1618
+338 <-> 1800
+339 <-> 67
+340 <-> 1061
+341 <-> 957
+342 <-> 1130, 1242
+343 <-> 782, 1629
+344 <-> 350, 1216
+345 <-> 898
+346 <-> 586, 1372
+347 <-> 1537
+348 <-> 1899
+349 <-> 378
+350 <-> 344
+351 <-> 147, 381, 993
+352 <-> 186
+353 <-> 353, 646, 913
+354 <-> 465
+355 <-> 1423, 1695
+356 <-> 573, 1241
+357 <-> 1695
+358 <-> 1100, 1271
+359 <-> 50, 1472, 1910
+360 <-> 215
+361 <-> 1512
+362 <-> 86, 1768, 1997
+363 <-> 3, 1731
+364 <-> 657, 1713, 1992
+365 <-> 475, 1490, 1968
+366 <-> 323, 1482, 1765
+367 <-> 831
+368 <-> 1393
+369 <-> 1135
+370 <-> 183, 592
+371 <-> 637, 1518
+372 <-> 33
+373 <-> 1494
+374 <-> 1761
+375 <-> 209
+376 <-> 1587
+377 <-> 1522
+378 <-> 349, 686, 1006, 1946
+379 <-> 379, 487
+380 <-> 1763
+381 <-> 351, 1048
+382 <-> 1895
+383 <-> 1623
+384 <-> 1423, 1450
+385 <-> 1350, 1770
+386 <-> 798, 890
+387 <-> 241, 894
+388 <-> 1756
+389 <-> 629
+390 <-> 507
+391 <-> 1780
+392 <-> 1144
+393 <-> 1240, 1279
+394 <-> 1227
+395 <-> 1361
+396 <-> 396
+397 <-> 397, 1228
+398 <-> 454
+399 <-> 199
+400 <-> 254, 1147
+401 <-> 199, 1068, 1445, 1918
+402 <-> 636, 1601, 1934
+403 <-> 140, 921
+404 <-> 212, 430, 468, 1064, 1346, 1434
+405 <-> 633
+406 <-> 949
+407 <-> 512, 951
+408 <-> 1900, 1908
+409 <-> 409
+410 <-> 1724
+411 <-> 624, 733
+412 <-> 215, 1455
+413 <-> 1612
+414 <-> 52, 170
+415 <-> 907, 1600
+416 <-> 63
+417 <-> 218, 835
+418 <-> 418, 1116
+419 <-> 1531
+420 <-> 1154, 1538
+421 <-> 485, 511
+422 <-> 422
+423 <-> 665
+424 <-> 1891
+425 <-> 1140
+426 <-> 1409
+427 <-> 102
+428 <-> 463
+429 <-> 575, 1432, 1779
+430 <-> 1, 404
+431 <-> 185, 1473
+432 <-> 1065, 1720
+433 <-> 1554
+434 <-> 965
+435 <-> 562, 1577
+436 <-> 117
+437 <-> 960
+438 <-> 16, 926, 1342
+439 <-> 1171
+440 <-> 1198, 1622
+441 <-> 168
+442 <-> 142
+443 <-> 443
+444 <-> 1399, 1836
+445 <-> 190
+446 <-> 121
+447 <-> 185, 1249
+448 <-> 1505
+449 <-> 542, 1433
+450 <-> 1859
+451 <-> 231, 590, 1641, 1651
+452 <-> 141, 452
+453 <-> 230
+454 <-> 337, 398, 511
+455 <-> 116, 455
+456 <-> 1231, 1368
+457 <-> 201, 1294
+458 <-> 147, 200, 1799
+459 <-> 1113
+460 <-> 1521, 1841
+461 <-> 882
+462 <-> 683, 1744, 1887
+463 <-> 428, 1221
+464 <-> 223, 1310
+465 <-> 354, 880
+466 <-> 960, 1216
+467 <-> 511, 1185
+468 <-> 404
+469 <-> 469
+470 <-> 470
+471 <-> 25, 494, 747, 1078
+472 <-> 855, 1358
+473 <-> 473
+474 <-> 307, 1288
+475 <-> 365, 688, 1881
+476 <-> 1129, 1496, 1753
+477 <-> 828, 1032, 1376
+478 <-> 1474, 1950
+479 <-> 479
+480 <-> 480, 1318
+481 <-> 306, 487
+482 <-> 58, 234, 902, 1003
+483 <-> 1681, 1730
+484 <-> 484, 1071
+485 <-> 421, 800, 975, 1124
+486 <-> 39, 104
+487 <-> 379, 481, 918
+488 <-> 488, 1297
+489 <-> 897, 1216, 1384
+490 <-> 49, 1286
+491 <-> 1283
+492 <-> 143, 1098
+493 <-> 160, 1120
+494 <-> 471, 1781
+495 <-> 495, 642, 714, 1004
+496 <-> 1227
+497 <-> 513, 1349, 1382
+498 <-> 1846
+499 <-> 149, 499
+500 <-> 621, 1005, 1640
+501 <-> 78, 1254
+502 <-> 75, 262, 1008, 1404, 1915
+503 <-> 1707
+504 <-> 83
+505 <-> 1809
+506 <-> 134, 181, 506
+507 <-> 390, 621, 1630
+508 <-> 196, 270
+509 <-> 170, 1819
+510 <-> 31, 317, 656
+511 <-> 251, 421, 454, 467, 1532
+512 <-> 407, 1258, 1430
+513 <-> 497
+514 <-> 128, 840
+515 <-> 59, 619, 662
+516 <-> 1649
+517 <-> 517
+518 <-> 731
+519 <-> 1522
+520 <-> 296, 847
+521 <-> 1667
+522 <-> 270, 690, 1047, 1246
+523 <-> 209, 1087
+524 <-> 1267
+525 <-> 714, 1126, 1896
+526 <-> 1788
+527 <-> 1660, 1733
+528 <-> 1309, 1955
+529 <-> 1912
+530 <-> 838
+531 <-> 1167, 1515
+532 <-> 532, 1128
+533 <-> 1602
+534 <-> 564, 1108
+535 <-> 535, 810
+536 <-> 315, 1842
+537 <-> 1947
+538 <-> 1208, 1445
+539 <-> 14, 825
+540 <-> 300
+541 <-> 130, 1188
+542 <-> 449, 1197
+543 <-> 1302
+544 <-> 310, 1131
+545 <-> 1409
+546 <-> 772
+547 <-> 1954
+548 <-> 1662
+549 <-> 1601
+550 <-> 875, 1899
+551 <-> 1208
+552 <-> 23, 64, 1140
+553 <-> 272, 1616, 1632, 1988
+554 <-> 554, 622, 1169
+555 <-> 555, 705, 772
+556 <-> 625
+557 <-> 867, 1210
+558 <-> 870, 1039, 1320, 1509, 1995
+559 <-> 835, 968
+560 <-> 315
+561 <-> 1335
+562 <-> 435
+563 <-> 658
+564 <-> 534, 640, 1456, 1610
+565 <-> 1130
+566 <-> 741
+567 <-> 1018
+568 <-> 839
+569 <-> 1544, 1767
+570 <-> 265
+571 <-> 1006, 1852
+572 <-> 1320
+573 <-> 356, 787, 816, 1947
+574 <-> 175, 1287, 1381, 1413
+575 <-> 321, 429
+576 <-> 134
+577 <-> 9, 668, 1979
+578 <-> 297, 1576
+579 <-> 1779
+580 <-> 798
+581 <-> 227, 832
+582 <-> 316, 1033
+583 <-> 159, 1550
+584 <-> 1988
+585 <-> 173, 1275
+586 <-> 346, 1343
+587 <-> 1499, 1911
+588 <-> 91, 211, 255
+589 <-> 103, 703
+590 <-> 451, 1686
+591 <-> 828, 1746
+592 <-> 370
+593 <-> 273
+594 <-> 1358, 1607
+595 <-> 220
+596 <-> 1050, 1375
+597 <-> 129, 1463
+598 <-> 598, 1804
+599 <-> 1606, 1671
+600 <-> 1930
+601 <-> 249, 869, 1233, 1336
+602 <-> 1150, 1203
+603 <-> 603
+604 <-> 604, 620
+605 <-> 835, 1556, 1770
+606 <-> 12, 696, 1634, 1897
+607 <-> 1629
+608 <-> 608
+609 <-> 244, 738
+610 <-> 259, 684, 1309
+611 <-> 1398
+612 <-> 612, 1178, 1808
+613 <-> 1245
+614 <-> 55, 1701, 1969
+615 <-> 21, 759
+616 <-> 33, 1160
+617 <-> 617, 824
+618 <-> 725, 840
+619 <-> 7, 515
+620 <-> 604, 1247
+621 <-> 500, 507, 1039
+622 <-> 235, 264, 554, 665, 1476
+623 <-> 211, 773, 1382, 1839
+624 <-> 411, 943
+625 <-> 245, 556, 794, 1277
+626 <-> 988, 1429, 1495
+627 <-> 252, 708, 1780
+628 <-> 981
+629 <-> 281, 389, 1132
+630 <-> 117, 288, 802, 1438, 1492
+631 <-> 753, 1279, 1716, 1843
+632 <-> 1715
+633 <-> 185, 405
+634 <-> 216
+635 <-> 3
+636 <-> 402, 1983
+637 <-> 131, 371
+638 <-> 264, 1157
+639 <-> 815
+640 <-> 564
+641 <-> 1473, 1727
+642 <-> 495
+643 <-> 967, 1996
+644 <-> 86, 1586
+645 <-> 1063, 1994
+646 <-> 353
+647 <-> 158, 1732
+648 <-> 910, 1758
+649 <-> 685, 704
+650 <-> 1443, 1490
+651 <-> 891
+652 <-> 73, 269, 1374
+653 <-> 756
+654 <-> 1026
+655 <-> 1177
+656 <-> 510
+657 <-> 364
+658 <-> 563, 1264, 1402, 1457, 1617
+659 <-> 899, 1543
+660 <-> 874, 1691
+661 <-> 1979
+662 <-> 217, 515
+663 <-> 953, 1147
+664 <-> 233, 820, 1152
+665 <-> 423, 622, 856
+666 <-> 1020
+667 <-> 1093, 1611
+668 <-> 577, 892
+669 <-> 1563
+670 <-> 984, 1927
+671 <-> 278, 803, 982
+672 <-> 1143
+673 <-> 54, 1650, 1902
+674 <-> 1624, 1694
+675 <-> 301, 1473
+676 <-> 204, 1726
+677 <-> 786, 1772
+678 <-> 20
+679 <-> 316
+680 <-> 722, 1885
+681 <-> 845
+682 <-> 319, 777, 1935
+683 <-> 15, 462
+684 <-> 610
+685 <-> 121, 649, 836, 1137
+686 <-> 378, 1709
+687 <-> 687
+688 <-> 475
+689 <-> 1950
+690 <-> 304, 522, 1357, 1814
+691 <-> 291
+692 <-> 838, 1183
+693 <-> 1298
+694 <-> 1493
+695 <-> 59, 258, 1529
+696 <-> 606
+697 <-> 227, 1590
+698 <-> 870
+699 <-> 1699
+700 <-> 1740
+701 <-> 58, 1535
+702 <-> 297
+703 <-> 589, 703
+704 <-> 649, 1289, 1652
+705 <-> 85, 555
+706 <-> 1523
+707 <-> 1606
+708 <-> 627, 710, 1498, 1598
+709 <-> 852, 1835
+710 <-> 708
+711 <-> 711
+712 <-> 1786
+713 <-> 991, 1558
+714 <-> 495, 525
+715 <-> 1185, 1473
+716 <-> 157
+717 <-> 1425
+718 <-> 718, 1316
+719 <-> 229, 1568
+720 <-> 1977
+721 <-> 721, 1272
+722 <-> 680, 734, 1547
+723 <-> 102
+724 <-> 1982
+725 <-> 618, 807
+726 <-> 1771
+727 <-> 1447
+728 <-> 131, 1232, 1972
+729 <-> 1345, 1875
+730 <-> 730, 991
+731 <-> 518, 1201, 1484
+732 <-> 1972
+733 <-> 411, 1596
+734 <-> 722
+735 <-> 1253
+736 <-> 936, 1160
+737 <-> 799, 865, 957, 1319
+738 <-> 609
+739 <-> 302, 1047
+740 <-> 1532
+741 <-> 566, 1226, 1395
+742 <-> 742, 1215
+743 <-> 79, 1552
+744 <-> 162, 1110
+745 <-> 183
+746 <-> 1861
+747 <-> 471
+748 <-> 1671
+749 <-> 1099, 1899
+750 <-> 158
+751 <-> 751
+752 <-> 186, 804, 1013, 1403
+753 <-> 631, 753
+754 <-> 202, 1423, 1670
+755 <-> 136, 803, 1343
+756 <-> 653, 756
+757 <-> 819
+758 <-> 758
+759 <-> 615
+760 <-> 18, 1044
+761 <-> 1636
+762 <-> 1184, 1251
+763 <-> 879, 1227
+764 <-> 62, 1486
+765 <-> 1993
+766 <-> 966, 1665
+767 <-> 773, 925, 1295
+768 <-> 75, 225
+769 <-> 1675
+770 <-> 160
+771 <-> 801, 916, 985, 996, 1984
+772 <-> 546, 555
+773 <-> 623, 767, 927, 1447
+774 <-> 146, 979, 1583
+775 <-> 115, 947
+776 <-> 1055
+777 <-> 682, 1114, 1480
+778 <-> 241
+779 <-> 1735
+780 <-> 102, 781, 1942
+781 <-> 780, 1062
+782 <-> 343, 809, 881, 1766
+783 <-> 154, 1389, 1763
+784 <-> 1168, 1935
+785 <-> 1286
+786 <-> 677, 833, 1140
+787 <-> 573, 1801
+788 <-> 323, 1036
+789 <-> 983, 1599
+790 <-> 11, 1322, 1503, 1667
+791 <-> 956
+792 <-> 1708
+793 <-> 1431
+794 <-> 625, 1842
+795 <-> 795
+796 <-> 201, 330
+797 <-> 310, 1425, 1749
+798 <-> 386, 580
+799 <-> 737, 1561, 1722
+800 <-> 485
+801 <-> 771
+802 <-> 630, 1363
+803 <-> 163, 671, 755, 1897, 1953
+804 <-> 752, 1356
+805 <-> 1459
+806 <-> 230, 243
+807 <-> 725, 855
+808 <-> 53, 292, 1303, 1494
+809 <-> 60, 782
+810 <-> 535, 1713
+811 <-> 1670
+812 <-> 1910
+813 <-> 1458
+814 <-> 896, 1098
+815 <-> 101, 639, 815, 898
+816 <-> 183, 573
+817 <-> 817, 1021, 1262
+818 <-> 818, 1077
+819 <-> 194, 757, 861
+820 <-> 212, 664, 1944
+821 <-> 1081, 1109
+822 <-> 1769
+823 <-> 1758
+824 <-> 617
+825 <-> 539
+826 <-> 1150, 1844
+827 <-> 44, 831
+828 <-> 477, 591
+829 <-> 1947
+830 <-> 1165, 1669
+831 <-> 332, 367, 827
+832 <-> 581
+833 <-> 786
+834 <-> 1022, 1530
+835 <-> 417, 559, 605
+836 <-> 685, 1647
+837 <-> 262, 1560, 1944
+838 <-> 530, 692, 1717
+839 <-> 568, 843, 1021, 1788
+840 <-> 514, 618, 1390
+841 <-> 246, 1190, 1646
+842 <-> 45, 137, 302, 1306
+843 <-> 839
+844 <-> 145, 1715, 1833
+845 <-> 112, 681
+846 <-> 1136, 1718
+847 <-> 520, 1818
+848 <-> 1916
+849 <-> 1641
+850 <-> 123
+851 <-> 1072
+852 <-> 709
+853 <-> 279, 941
+854 <-> 1188
+855 <-> 198, 472, 807, 1469
+856 <-> 665
+857 <-> 1318
+858 <-> 1608
+859 <-> 1901
+860 <-> 74
+861 <-> 819, 920
+862 <-> 1378
+863 <-> 1683
+864 <-> 1880
+865 <-> 61, 197, 737, 1289
+866 <-> 866, 1221
+867 <-> 124, 557
+868 <-> 1485
+869 <-> 601, 1029
+870 <-> 558, 698
+871 <-> 128, 1738
+872 <-> 206
+873 <-> 194
+874 <-> 660, 1100
+875 <-> 550, 900
+876 <-> 1029
+877 <-> 293, 1087, 1486
+878 <-> 1726
+879 <-> 763, 1252, 1597
+880 <-> 288, 465
+881 <-> 782
+882 <-> 461, 1223, 1252, 1585
+883 <-> 286, 954, 1046, 1491
+884 <-> 1184
+885 <-> 1393, 1487
+886 <-> 907, 995, 1123
+887 <-> 988, 997
+888 <-> 1218, 1679
+889 <-> 1544
+890 <-> 386, 1867
+891 <-> 190, 651, 917, 1593
+892 <-> 668
+893 <-> 893
+894 <-> 115, 387
+895 <-> 1378, 1857
+896 <-> 814
+897 <-> 489, 1829
+898 <-> 345, 815
+899 <-> 10, 659
+900 <-> 875
+901 <-> 901, 1132, 1550
+902 <-> 482
+903 <-> 1172, 1271, 1657
+904 <-> 1954
+905 <-> 322
+906 <-> 1716
+907 <-> 415, 886, 1929
+908 <-> 122
+909 <-> 149
+910 <-> 648
+911 <-> 911
+912 <-> 1292, 1962
+913 <-> 336, 353
+914 <-> 914
+915 <-> 1744
+916 <-> 771, 1421
+917 <-> 891, 1084, 1428
+918 <-> 93, 487
+919 <-> 330, 1672
+920 <-> 861
+921 <-> 133, 188, 403, 1418, 1921
+922 <-> 1020, 1515
+923 <-> 1597
+924 <-> 1102
+925 <-> 223, 767, 1175, 1920
+926 <-> 438
+927 <-> 311, 773
+928 <-> 1162, 1317, 1571
+929 <-> 929
+930 <-> 1485, 1875
+931 <-> 1809
+932 <-> 1130, 1190, 1553
+933 <-> 1303
+934 <-> 274
+935 <-> 149, 220
+936 <-> 74, 736, 1574
+937 <-> 203, 1942
+938 <-> 33
+939 <-> 1616
+940 <-> 940, 1577
+941 <-> 853
+942 <-> 1315, 1345
+943 <-> 624
+944 <-> 117, 1531
+945 <-> 1130
+946 <-> 1789
+947 <-> 775
+948 <-> 1275
+949 <-> 406, 1279, 1795
+950 <-> 1803
+951 <-> 407, 1440, 1785
+952 <-> 130
+953 <-> 663, 1460
+954 <-> 883
+955 <-> 1954
+956 <-> 791, 1625
+957 <-> 341, 737
+958 <-> 1932
+959 <-> 1624
+960 <-> 437, 466, 1501
+961 <-> 183, 994
+962 <-> 1663
+963 <-> 963, 1734
+964 <-> 202, 1784
+965 <-> 434, 1240
+966 <-> 269, 766, 1395
+967 <-> 643, 1414
+968 <-> 559, 1523
+969 <-> 1664
+970 <-> 1670
+971 <-> 1485
+972 <-> 94, 190
+973 <-> 984
+974 <-> 283
+975 <-> 485, 1584
+976 <-> 1835
+977 <-> 977
+978 <-> 65
+979 <-> 298, 774
+980 <-> 21, 1217, 1897
+981 <-> 628, 981
+982 <-> 671
+983 <-> 228, 789, 1321, 1933
+984 <-> 670, 973, 1105
+985 <-> 771, 1703
+986 <-> 1478
+987 <-> 115, 1725
+988 <-> 626, 887, 1266
+989 <-> 1366, 1601, 1964
+990 <-> 1990
+991 <-> 713, 730, 1932
+992 <-> 1183
+993 <-> 351
+994 <-> 961
+995 <-> 300, 309, 886, 995, 1305
+996 <-> 771, 1048, 1203
+997 <-> 887
+998 <-> 1787
+999 <-> 226, 1093, 1367
+1000 <-> 310
+1001 <-> 1468, 1913
+1002 <-> 39, 1718
+1003 <-> 482
+1004 <-> 495
+1005 <-> 500
+1006 <-> 378, 571
+1007 <-> 1256
+1008 <-> 502
+1009 <-> 1127
+1010 <-> 1567
+1011 <-> 1011, 1122, 1840
+1012 <-> 1012
+1013 <-> 752
+1014 <-> 1538, 1775
+1015 <-> 169, 1426
+1016 <-> 1016, 1960
+1017 <-> 277
+1018 <-> 567, 1619
+1019 <-> 228, 1495
+1020 <-> 666, 922
+1021 <-> 817, 839
+1022 <-> 120, 323, 325, 834
+1023 <-> 216, 1271
+1024 <-> 1502
+1025 <-> 1097
+1026 <-> 654, 1455, 1739
+1027 <-> 1823, 1906
+1028 <-> 1903
+1029 <-> 210, 869, 876, 1474, 1756
+1030 <-> 26
+1031 <-> 293, 1458
+1032 <-> 477
+1033 <-> 102, 582
+1034 <-> 1984
+1035 <-> 1977
+1036 <-> 788
+1037 <-> 1037
+1038 <-> 1312, 1796, 1855
+1039 <-> 558, 621, 1831
+1040 <-> 267, 1478, 1776
+1041 <-> 4
+1042 <-> 65, 1881
+1043 <-> 95, 1202, 1794
+1044 <-> 760
+1045 <-> 1426
+1046 <-> 883
+1047 <-> 277, 522, 739
+1048 <-> 381, 996, 1578
+1049 <-> 1554, 1779
+1050 <-> 596
+1051 <-> 241, 1117
+1052 <-> 1533, 1637
+1053 <-> 1797
+1054 <-> 1814
+1055 <-> 776, 1380
+1056 <-> 1732, 1965
+1057 <-> 192
+1058 <-> 123
+1059 <-> 1114
+1060 <-> 1282
+1061 <-> 340, 1325, 1517
+1062 <-> 781, 1810
+1063 <-> 645, 1567
+1064 <-> 76, 404
+1065 <-> 432
+1066 <-> 1081, 1384, 1592
+1067 <-> 1139
+1068 <-> 401
+1069 <-> 1327, 1873
+1070 <-> 1070
+1071 <-> 484, 1334
+1072 <-> 851, 1072
+1073 <-> 59
+1074 <-> 1948
+1075 <-> 1227
+1076 <-> 68, 328, 1076
+1077 <-> 138, 818, 1906
+1078 <-> 191, 471, 1966
+1079 <-> 1869
+1080 <-> 1735, 1811, 1855
+1081 <-> 821, 1066, 1895
+1082 <-> 1740
+1083 <-> 1083
+1084 <-> 917
+1085 <-> 1111
+1086 <-> 1440, 1916
+1087 <-> 523, 877
+1088 <-> 32, 162
+1089 <-> 97, 1854, 1948
+1090 <-> 1102, 1896
+1091 <-> 1466
+1092 <-> 1655
+1093 <-> 667, 999, 1159
+1094 <-> 1248, 1961
+1095 <-> 1243
+1096 <-> 1635
+1097 <-> 280, 1025
+1098 <-> 492, 814
+1099 <-> 749
+1100 <-> 358, 874
+1101 <-> 166, 1846
+1102 <-> 924, 1090
+1103 <-> 272, 1766
+1104 <-> 1712
+1105 <-> 984, 1105
+1106 <-> 1106, 1620
+1107 <-> 1107
+1108 <-> 534, 1529
+1109 <-> 821
+1110 <-> 744
+1111 <-> 1085, 1111, 1207
+1112 <-> 1373
+1113 <-> 459, 1430
+1114 <-> 777, 1059
+1115 <-> 1115
+1116 <-> 418
+1117 <-> 1051
+1118 <-> 1474, 1583
+1119 <-> 63, 323, 1194, 1302
+1120 <-> 493
+1121 <-> 1464
+1122 <-> 1011
+1123 <-> 886, 1848
+1124 <-> 485
+1125 <-> 47, 1705
+1126 <-> 525
+1127 <-> 311, 1009, 1566
+1128 <-> 532
+1129 <-> 476
+1130 <-> 47, 342, 565, 932, 945
+1131 <-> 223, 544
+1132 <-> 629, 901
+1133 <-> 1133, 1526
+1134 <-> 13, 1913
+1135 <-> 369, 1871
+1136 <-> 846, 1879
+1137 <-> 685
+1138 <-> 1752
+1139 <-> 1067, 1202
+1140 <-> 425, 552, 786
+1141 <-> 90, 146
+1142 <-> 43, 1818
+1143 <-> 184, 672, 1411
+1144 <-> 157, 392, 1851
+1145 <-> 1145, 1628
+1146 <-> 19, 1574
+1147 <-> 400, 663, 1265
+1148 <-> 204, 1289, 1499, 1899
+1149 <-> 303, 1797
+1150 <-> 602, 826
+1151 <-> 324
+1152 <-> 664, 1518
+1153 <-> 220, 1990
+1154 <-> 218, 420, 1811
+1155 <-> 1658
+1156 <-> 1581, 1778, 1865
+1157 <-> 638, 1849
+1158 <-> 1445
+1159 <-> 83, 1093, 1680
+1160 <-> 616, 736
+1161 <-> 1161
+1162 <-> 18, 928
+1163 <-> 70
+1164 <-> 1868
+1165 <-> 830, 1769
+1166 <-> 1687
+1167 <-> 531
+1168 <-> 784, 1761
+1169 <-> 554
+1170 <-> 1206, 1327, 1754
+1171 <-> 439, 1307, 1525
+1172 <-> 903, 1172, 1542
+1173 <-> 1173
+1174 <-> 258
+1175 <-> 925, 1869
+1176 <-> 259
+1177 <-> 240, 655, 1738
+1178 <-> 612
+1179 <-> 1537
+1180 <-> 255, 1675
+1181 <-> 220
+1182 <-> 1377, 1877
+1183 <-> 692, 992
+1184 <-> 297, 762, 884, 1718
+1185 <-> 467, 715, 1369
+1186 <-> 51, 1600
+1187 <-> 300
+1188 <-> 541, 854
+1189 <-> 113, 122, 250, 1653
+1190 <-> 841, 932, 1448
+1191 <-> 1225, 1345, 1427
+1192 <-> 293, 1927
+1193 <-> 1193, 1436
+1194 <-> 1119
+1195 <-> 253, 1864
+1196 <-> 1432
+1197 <-> 542, 1368, 1825
+1198 <-> 125, 440
+1199 <-> 1199, 1570, 1740
+1200 <-> 1565
+1201 <-> 731
+1202 <-> 2, 1043, 1139, 1303
+1203 <-> 602, 996, 1250
+1204 <-> 1204
+1205 <-> 230, 1514
+1206 <-> 1170
+1207 <-> 1111
+1208 <-> 538, 551, 1904
+1209 <-> 297
+1210 <-> 557
+1211 <-> 257, 1629
+1212 <-> 1999
+1213 <-> 291
+1214 <-> 1977
+1215 <-> 742, 1311, 1502, 1721
+1216 <-> 344, 466, 489, 1457, 1810
+1217 <-> 980
+1218 <-> 888, 1294
+1219 <-> 138
+1220 <-> 99
+1221 <-> 463, 866
+1222 <-> 170
+1223 <-> 882, 1817
+1224 <-> 40, 1267
+1225 <-> 1191, 1857
+1226 <-> 741, 1309
+1227 <-> 394, 496, 763, 1075, 1673
+1228 <-> 397
+1229 <-> 117, 1237
+1230 <-> 1435, 1551, 1555
+1231 <-> 456, 1885
+1232 <-> 728
+1233 <-> 242, 601
+1234 <-> 1699
+1235 <-> 16, 20, 1335
+1236 <-> 1417
+1237 <-> 1229, 1554
+1238 <-> 1561
+1239 <-> 1731, 1864
+1240 <-> 393, 965, 1624
+1241 <-> 356, 1241
+1242 <-> 342
+1243 <-> 1095, 1540
+1244 <-> 41, 1802
+1245 <-> 175, 613
+1246 <-> 8, 522
+1247 <-> 620
+1248 <-> 46, 1094, 1430
+1249 <-> 28, 447
+1250 <-> 162, 219, 1203
+1251 <-> 762
+1252 <-> 879, 882
+1253 <-> 735, 1867
+1254 <-> 334, 501
+1255 <-> 1396
+1256 <-> 1007, 1366, 1636
+1257 <-> 1257
+1258 <-> 512, 1488
+1259 <-> 271
+1260 <-> 1898, 1978
+1261 <-> 79
+1262 <-> 817
+1263 <-> 1387, 1405, 1580
+1264 <-> 658
+1265 <-> 1147, 1943
+1266 <-> 988
+1267 <-> 524, 1224
+1268 <-> 329
+1269 <-> 1537, 1608
+1270 <-> 1540
+1271 <-> 358, 903, 1023, 1398
+1272 <-> 721, 1410
+1273 <-> 1379
+1274 <-> 9
+1275 <-> 585, 948
+1276 <-> 1920
+1277 <-> 625
+1278 <-> 1483
+1279 <-> 393, 631, 949
+1280 <-> 1572, 1842
+1281 <-> 1281, 1833
+1282 <-> 1060, 1283, 1422
+1283 <-> 491, 1282
+1284 <-> 139
+1285 <-> 1893
+1286 <-> 490, 785, 1598, 1661
+1287 <-> 574
+1288 <-> 474, 1600, 1824
+1289 <-> 704, 865, 1148, 1681
+1290 <-> 1660
+1291 <-> 1291, 1301
+1292 <-> 912, 1416
+1293 <-> 1293, 1605
+1294 <-> 457, 1218
+1295 <-> 767
+1296 <-> 105, 1859
+1297 <-> 299, 488
+1298 <-> 271, 693
+1299 <-> 95, 1445
+1300 <-> 98, 150, 174, 1422
+1301 <-> 1291
+1302 <-> 543, 1119
+1303 <-> 808, 933, 1202, 1883
+1304 <-> 174
+1305 <-> 995
+1306 <-> 305, 842
+1307 <-> 290, 1171
+1308 <-> 238, 1385
+1309 <-> 528, 610, 1226
+1310 <-> 464, 1520
+1311 <-> 1215, 1830
+1312 <-> 1038
+1313 <-> 1835
+1314 <-> 1916
+1315 <-> 942
+1316 <-> 118, 718
+1317 <-> 116, 928
+1318 <-> 480, 857
+1319 <-> 737
+1320 <-> 558, 572
+1321 <-> 983
+1322 <-> 790, 1368
+1323 <-> 1846
+1324 <-> 1920
+1325 <-> 1061, 1409, 1459
+1326 <-> 1486
+1327 <-> 100, 1069, 1170, 1441, 1641
+1328 <-> 222, 1328
+1329 <-> 26
+1330 <-> 330
+1331 <-> 152, 1358, 1380, 1690, 1888
+1332 <-> 1776
+1333 <-> 26, 181
+1334 <-> 1071
+1335 <-> 561, 1235
+1336 <-> 601
+1337 <-> 1689
+1338 <-> 1528, 1689
+1339 <-> 1422, 1588
+1340 <-> 1911, 1964
+1341 <-> 1887
+1342 <-> 40, 438
+1343 <-> 586, 755, 1806, 1956
+1344 <-> 1344, 1354, 1623, 1923
+1345 <-> 729, 942, 1191
+1346 <-> 404
+1347 <-> 9, 1524, 1757, 1945, 1978
+1348 <-> 1828
+1349 <-> 208, 497
+1350 <-> 385
+1351 <-> 1399
+1352 <-> 0
+1353 <-> 1731
+1354 <-> 1344, 1587, 1870
+1355 <-> 1522, 1625
+1356 <-> 804, 1356
+1357 <-> 690
+1358 <-> 472, 594, 1331
+1359 <-> 284, 1934
+1360 <-> 63, 1403
+1361 <-> 274, 395, 1361
+1362 <-> 316
+1363 <-> 802, 1779, 1975
+1364 <-> 1377
+1365 <-> 239, 337
+1366 <-> 989, 1256, 1420
+1367 <-> 999, 1483
+1368 <-> 456, 1197, 1322
+1369 <-> 303, 1185
+1370 <-> 214, 280, 1747, 1764
+1371 <-> 1371
+1372 <-> 346, 1546
+1373 <-> 1112, 1665
+1374 <-> 652
+1375 <-> 596, 1375
+1376 <-> 477, 1730, 1807
+1377 <-> 1182, 1364
+1378 <-> 862, 895, 1378, 1391
+1379 <-> 1273, 1698, 1715
+1380 <-> 1055, 1331, 1847
+1381 <-> 574, 1654
+1382 <-> 248, 318, 497, 623
+1383 <-> 4, 191
+1384 <-> 489, 1066
+1385 <-> 1308
+1386 <-> 50
+1387 <-> 1263
+1388 <-> 1567
+1389 <-> 783
+1390 <-> 324, 840, 1772
+1391 <-> 1378
+1392 <-> 170, 1641
+1393 <-> 368, 885
+1394 <-> 1645, 1655
+1395 <-> 741, 966
+1396 <-> 1255, 1396, 1965
+1397 <-> 20, 198
+1398 <-> 224, 611, 1271, 1549
+1399 <-> 444, 1351, 1660
+1400 <-> 123, 141
+1401 <-> 94
+1402 <-> 658
+1403 <-> 195, 752, 1360
+1404 <-> 27, 502
+1405 <-> 1263
+1406 <-> 1514
+1407 <-> 222
+1408 <-> 256
+1409 <-> 426, 545, 1325, 1980, 1981
+1410 <-> 1272
+1411 <-> 35, 1143, 1444
+1412 <-> 89
+1413 <-> 574
+1414 <-> 967, 1680
+1415 <-> 1593
+1416 <-> 2, 1292
+1417 <-> 1236, 1599
+1418 <-> 921, 1464
+1419 <-> 233
+1420 <-> 1366, 1564
+1421 <-> 916
+1422 <-> 1282, 1300, 1339
+1423 <-> 355, 384, 754
+1424 <-> 1488
+1425 <-> 717, 797
+1426 <-> 1015, 1045
+1427 <-> 1191
+1428 <-> 917
+1429 <-> 626, 1911
+1430 <-> 512, 1113, 1248
+1431 <-> 282, 297, 793, 1663
+1432 <-> 429, 1196
+1433 <-> 449
+1434 <-> 404
+1435 <-> 1230
+1436 <-> 1193, 1827
+1437 <-> 1809
+1438 <-> 193, 630
+1439 <-> 1773
+1440 <-> 951, 1086
+1441 <-> 1327
+1442 <-> 219, 1808
+1443 <-> 133, 650
+1444 <-> 1411, 1527, 1689
+1445 <-> 401, 538, 1158, 1299
+1446 <-> 1831
+1447 <-> 727, 773
+1448 <-> 171, 1190
+1449 <-> 230, 1751
+1450 <-> 384
+1451 <-> 1451
+1452 <-> 1607
+1453 <-> 1453
+1454 <-> 1454
+1455 <-> 412, 1026
+1456 <-> 328, 564
+1457 <-> 658, 1216
+1458 <-> 813, 1031
+1459 <-> 805, 1325
+1460 <-> 189, 953
+1461 <-> 72, 1461, 1573
+1462 <-> 142
+1463 <-> 142, 178, 597
+1464 <-> 1121, 1418, 1905
+1465 <-> 1810
+1466 <-> 1091, 1751
+1467 <-> 1484, 1697
+1468 <-> 244, 256, 1001, 1503
+1469 <-> 179, 229, 855
+1470 <-> 1889
+1471 <-> 284
+1472 <-> 204, 359, 1748
+1473 <-> 431, 641, 675, 715, 1753
+1474 <-> 478, 1029, 1118
+1475 <-> 1475, 1595
+1476 <-> 622
+1477 <-> 271
+1478 <-> 986, 1040
+1479 <-> 1479
+1480 <-> 132, 777
+1481 <-> 1481
+1482 <-> 366
+1483 <-> 1278, 1367
+1484 <-> 303, 731, 1467, 1778
+1485 <-> 868, 930, 971
+1486 <-> 764, 877, 1326
+1487 <-> 269, 885
+1488 <-> 1258, 1424
+1489 <-> 1839
+1490 <-> 365, 650
+1491 <-> 883, 1655
+1492 <-> 630, 1505, 1710, 1866
+1493 <-> 694, 1785
+1494 <-> 373, 808, 1838
+1495 <-> 626, 1019
+1496 <-> 476, 1666
+1497 <-> 1916
+1498 <-> 708
+1499 <-> 587, 1148, 1596
+1500 <-> 1800, 1974
+1501 <-> 960
+1502 <-> 1024, 1215, 1676
+1503 <-> 790, 1468
+1504 <-> 206
+1505 <-> 448, 1492
+1506 <-> 299
+1507 <-> 215, 1579
+1508 <-> 1678
+1509 <-> 558
+1510 <-> 135, 1693
+1511 <-> 40
+1512 <-> 45, 361, 1635
+1513 <-> 5
+1514 <-> 1205, 1406
+1515 <-> 531, 922, 1730
+1516 <-> 259
+1517 <-> 1061
+1518 <-> 109, 371, 1152
+1519 <-> 312, 1835
+1520 <-> 1310
+1521 <-> 460
+1522 <-> 331, 377, 519, 1355, 1852, 1871
+1523 <-> 706, 968, 1607
+1524 <-> 1347
+1525 <-> 1171, 1728
+1526 <-> 1133
+1527 <-> 1444
+1528 <-> 1338
+1529 <-> 84, 695, 1108
+1530 <-> 834
+1531 <-> 419, 944
+1532 <-> 511, 740
+1533 <-> 1052
+1534 <-> 1572
+1535 <-> 701, 1606
+1536 <-> 1536
+1537 <-> 347, 1179, 1269
+1538 <-> 420, 1014
+1539 <-> 1648
+1540 <-> 324, 1243, 1270
+1541 <-> 1952
+1542 <-> 1172
+1543 <-> 659
+1544 <-> 569, 889
+1545 <-> 1545
+1546 <-> 1372
+1547 <-> 722
+1548 <-> 33
+1549 <-> 1398
+1550 <-> 69, 583, 901
+1551 <-> 1230, 1907
+1552 <-> 743, 1841
+1553 <-> 932
+1554 <-> 38, 433, 1049, 1237
+1555 <-> 1230
+1556 <-> 605
+1557 <-> 1728, 1980
+1558 <-> 713
+1559 <-> 1573
+1560 <-> 837, 1803
+1561 <-> 799, 1238, 1712
+1562 <-> 254
+1563 <-> 669, 1610
+1564 <-> 1420, 1832
+1565 <-> 330, 1200
+1566 <-> 1127
+1567 <-> 1010, 1063, 1388
+1568 <-> 719
+1569 <-> 1851
+1570 <-> 1199
+1571 <-> 928, 1752
+1572 <-> 1280, 1534
+1573 <-> 1461, 1559
+1574 <-> 34, 70, 936, 1146
+1575 <-> 207
+1576 <-> 578
+1577 <-> 435, 940
+1578 <-> 1048
+1579 <-> 1507
+1580 <-> 1263, 1610
+1581 <-> 1156
+1582 <-> 208, 1839
+1583 <-> 774, 1118, 1902
+1584 <-> 975
+1585 <-> 882
+1586 <-> 103, 644, 1637
+1587 <-> 376, 1354
+1588 <-> 1339, 1913
+1589 <-> 1791, 1855
+1590 <-> 265, 697
+1591 <-> 1631
+1592 <-> 1066, 1692, 1707
+1593 <-> 891, 1415, 1723
+1594 <-> 1594, 1959
+1595 <-> 1475
+1596 <-> 733, 1499
+1597 <-> 879, 923, 1991
+1598 <-> 708, 1286, 1965
+1599 <-> 789, 1417
+1600 <-> 415, 1186, 1288
+1601 <-> 402, 549, 989
+1602 <-> 533, 1602
+1603 <-> 250
+1604 <-> 1784
+1605 <-> 1293
+1606 <-> 599, 707, 1535
+1607 <-> 594, 1452, 1523
+1608 <-> 79, 184, 238, 858, 1269
+1609 <-> 1638
+1610 <-> 564, 1563, 1580
+1611 <-> 667
+1612 <-> 73, 413, 1612
+1613 <-> 1997
+1614 <-> 243
+1615 <-> 323
+1616 <-> 553, 939
+1617 <-> 658
+1618 <-> 245, 337, 1618
+1619 <-> 208, 1018
+1620 <-> 1106
+1621 <-> 69
+1622 <-> 440, 1876
+1623 <-> 383, 1344
+1624 <-> 674, 959, 1240
+1625 <-> 177, 197, 956, 1355
+1626 <-> 1626, 1790
+1627 <-> 1722
+1628 <-> 1145
+1629 <-> 343, 607, 1211
+1630 <-> 507
+1631 <-> 1591, 1886
+1632 <-> 553
+1633 <-> 38, 89
+1634 <-> 606
+1635 <-> 1096, 1512
+1636 <-> 761, 1256
+1637 <-> 1052, 1586
+1638 <-> 1609, 1638
+1639 <-> 1978
+1640 <-> 500, 1712
+1641 <-> 451, 849, 1327, 1392, 1994
+1642 <-> 1785
+1643 <-> 1960
+1644 <-> 41, 1644
+1645 <-> 1394
+1646 <-> 841, 1646, 1936
+1647 <-> 836
+1648 <-> 179, 1539
+1649 <-> 516, 1717
+1650 <-> 673
+1651 <-> 451
+1652 <-> 704
+1653 <-> 1189
+1654 <-> 1381, 1654, 1928
+1655 <-> 1092, 1394, 1491
+1656 <-> 1755, 1767
+1657 <-> 903
+1658 <-> 1155, 1658
+1659 <-> 1659, 1747
+1660 <-> 527, 1290, 1399
+1661 <-> 1286
+1662 <-> 173, 236, 548
+1663 <-> 962, 1431
+1664 <-> 139, 969, 1664
+1665 <-> 766, 1373
+1666 <-> 1496
+1667 <-> 521, 790, 1919
+1668 <-> 1668
+1669 <-> 160, 830
+1670 <-> 754, 811, 970
+1671 <-> 599, 748
+1672 <-> 919
+1673 <-> 250, 1227
+1674 <-> 1771, 1838
+1675 <-> 160, 769, 1180, 1729
+1676 <-> 1502
+1677 <-> 106
+1678 <-> 318, 1508
+1679 <-> 888
+1680 <-> 1159, 1414
+1681 <-> 483, 1289
+1682 <-> 1905
+1683 <-> 863, 1798, 1891
+1684 <-> 81, 234
+1685 <-> 74, 77
+1686 <-> 590
+1687 <-> 1166, 1709
+1688 <-> 1820
+1689 <-> 1337, 1338, 1444
+1690 <-> 1331
+1691 <-> 660
+1692 <-> 1592
+1693 <-> 72, 1510, 1957
+1694 <-> 674
+1695 <-> 355, 357, 1755
+1696 <-> 184, 1828
+1697 <-> 1467
+1698 <-> 1379
+1699 <-> 699, 1234, 1699, 1784
+1700 <-> 101
+1701 <-> 614, 1728, 1743
+1702 <-> 58
+1703 <-> 182, 985
+1704 <-> 1704
+1705 <-> 1125
+1706 <-> 1706
+1707 <-> 503, 1592
+1708 <-> 792, 1880, 1882
+1709 <-> 686, 1687
+1710 <-> 1492
+1711 <-> 1711
+1712 <-> 1104, 1561, 1640
+1713 <-> 364, 810
+1714 <-> 1714, 1845
+1715 <-> 632, 844, 1379
+1716 <-> 631, 906
+1717 <-> 207, 838, 1649, 1717
+1718 <-> 846, 1002, 1184
+1719 <-> 1719
+1720 <-> 247, 432, 1720, 1914
+1721 <-> 1215
+1722 <-> 799, 1627
+1723 <-> 307, 1593
+1724 <-> 410, 1756, 1887
+1725 <-> 296, 987
+1726 <-> 676, 878, 1837
+1727 <-> 641
+1728 <-> 1525, 1557, 1701, 1875
+1729 <-> 1675
+1730 <-> 483, 1376, 1515, 1916
+1731 <-> 363, 1239, 1353
+1732 <-> 647, 1056
+1733 <-> 320, 527, 1733
+1734 <-> 963
+1735 <-> 779, 1080
+1736 <-> 202
+1737 <-> 202
+1738 <-> 871, 1177
+1739 <-> 1026
+1740 <-> 700, 1082, 1199, 1941
+1741 <-> 231
+1742 <-> 1936
+1743 <-> 1701
+1744 <-> 462, 915
+1745 <-> 1798
+1746 <-> 333, 591
+1747 <-> 1370, 1659
+1748 <-> 1472, 1930
+1749 <-> 797
+1750 <-> 1949
+1751 <-> 1449, 1466
+1752 <-> 156, 1138, 1571
+1753 <-> 476, 1473
+1754 <-> 1170
+1755 <-> 29, 1656, 1695
+1756 <-> 388, 1029, 1724
+1757 <-> 1347
+1758 <-> 315, 648, 823, 1851
+1759 <-> 1759
+1760 <-> 1760, 1889
+1761 <-> 374, 1168
+1762 <-> 1814
+1763 <-> 380, 783, 1863
+1764 <-> 1370, 1949
+1765 <-> 366
+1766 <-> 782, 1103
+1767 <-> 271, 569, 1656
+1768 <-> 362
+1769 <-> 822, 1165
+1770 <-> 385, 605, 1800
+1771 <-> 726, 1674, 1907
+1772 <-> 677, 1390
+1773 <-> 1439, 1773
+1774 <-> 300
+1775 <-> 1014
+1776 <-> 176, 1040, 1332
+1777 <-> 1841
+1778 <-> 1156, 1484
+1779 <-> 429, 579, 1049, 1363
+1780 <-> 391, 627
+1781 <-> 494
+1782 <-> 101
+1783 <-> 15
+1784 <-> 42, 964, 1604, 1699, 1996
+1785 <-> 951, 1493, 1642
+1786 <-> 712, 1786
+1787 <-> 998, 1787
+1788 <-> 526, 839
+1789 <-> 71, 174, 946, 1973
+1790 <-> 1626
+1791 <-> 1589
+1792 <-> 108, 1842
+1793 <-> 250
+1794 <-> 1043
+1795 <-> 949
+1796 <-> 1038
+1797 <-> 1053, 1149
+1798 <-> 1683, 1745, 1830
+1799 <-> 111, 165, 458
+1800 <-> 215, 338, 1500, 1770
+1801 <-> 787
+1802 <-> 1244
+1803 <-> 950, 1560
+1804 <-> 598
+1805 <-> 238
+1806 <-> 1343
+1807 <-> 1376
+1808 <-> 612, 1442
+1809 <-> 176, 505, 931, 1437
+1810 <-> 1062, 1216, 1465
+1811 <-> 1080, 1154
+1812 <-> 1832, 1858
+1813 <-> 1813
+1814 <-> 690, 1054, 1762
+1815 <-> 264, 268
+1816 <-> 1816
+1817 <-> 1223
+1818 <-> 847, 1142
+1819 <-> 509
+1820 <-> 229, 1688
+1821 <-> 1976
+1822 <-> 8
+1823 <-> 1027
+1824 <-> 1288
+1825 <-> 1197
+1826 <-> 1894, 1977
+1827 <-> 1436
+1828 <-> 1348, 1696
+1829 <-> 897
+1830 <-> 1311, 1798
+1831 <-> 1039, 1446
+1832 <-> 115, 1564, 1812
+1833 <-> 844, 1281
+1834 <-> 70
+1835 <-> 246, 709, 976, 1313, 1519
+1836 <-> 444
+1837 <-> 1726
+1838 <-> 1494, 1674
+1839 <-> 275, 623, 1489, 1582
+1840 <-> 1011
+1841 <-> 460, 1552, 1777
+1842 <-> 536, 794, 1280, 1792
+1843 <-> 631
+1844 <-> 334, 826
+1845 <-> 1714
+1846 <-> 498, 1101, 1323, 1846
+1847 <-> 1380
+1848 <-> 1123
+1849 <-> 1157
+1850 <-> 1850
+1851 <-> 1144, 1569, 1758
+1852 <-> 571, 1522
+1853 <-> 289
+1854 <-> 1089
+1855 <-> 107, 1038, 1080, 1589
+1856 <-> 1947
+1857 <-> 895, 1225
+1858 <-> 326, 1812
+1859 <-> 248, 450, 1296
+1860 <-> 1860
+1861 <-> 746, 1861
+1862 <-> 1882
+1863 <-> 217, 1763
+1864 <-> 0, 1195, 1239
+1865 <-> 1156, 1925
+1866 <-> 1492
+1867 <-> 890, 1253, 1867
+1868 <-> 1164, 1893
+1869 <-> 1079, 1175
+1870 <-> 88, 1354
+1871 <-> 1135, 1522, 1940
+1872 <-> 1872
+1873 <-> 1069
+1874 <-> 215
+1875 <-> 729, 930, 1728
+1876 <-> 1622, 1903
+1877 <-> 73, 1182
+1878 <-> 1970
+1879 <-> 1136, 1912, 1958, 1989
+1880 <-> 864, 1708
+1881 <-> 475, 1042
+1882 <-> 249, 1708, 1862
+1883 <-> 1303
+1884 <-> 31
+1885 <-> 680, 1231
+1886 <-> 40, 1631
+1887 <-> 462, 1341, 1724
+1888 <-> 1331
+1889 <-> 1470, 1760
+1890 <-> 161, 203
+1891 <-> 424, 1683
+1892 <-> 1892
+1893 <-> 254, 1285, 1868
+1894 <-> 13, 172, 1826
+1895 <-> 114, 382, 1081
+1896 <-> 525, 1090
+1897 <-> 606, 803, 980
+1898 <-> 322, 1260
+1899 <-> 348, 550, 749, 1148
+1900 <-> 408, 1900
+1901 <-> 80, 859
+1902 <-> 673, 1583
+1903 <-> 1028, 1876
+1904 <-> 1208
+1905 <-> 1464, 1682
+1906 <-> 1027, 1077
+1907 <-> 1551, 1771
+1908 <-> 408
+1909 <-> 1909
+1910 <-> 359, 812
+1911 <-> 20, 587, 1340, 1429
+1912 <-> 529, 1879
+1913 <-> 1001, 1134, 1588
+1914 <-> 1720
+1915 <-> 502
+1916 <-> 848, 1086, 1314, 1497, 1730
+1917 <-> 1951
+1918 <-> 401
+1919 <-> 273, 1667
+1920 <-> 925, 1276, 1324
+1921 <-> 58, 921
+1922 <-> 48
+1923 <-> 1344
+1924 <-> 1993
+1925 <-> 1865
+1926 <-> 330
+1927 <-> 670, 1192
+1928 <-> 1654
+1929 <-> 907
+1930 <-> 600, 1748
+1931 <-> 1931
+1932 <-> 958, 991
+1933 <-> 983
+1934 <-> 402, 1359
+1935 <-> 294, 682, 784
+1936 <-> 1646, 1742
+1937 <-> 1937, 1971
+1938 <-> 126, 1938
+1939 <-> 1998
+1940 <-> 257, 1871
+1941 <-> 1740
+1942 <-> 780, 937
+1943 <-> 110, 1265
+1944 <-> 820, 837
+1945 <-> 264, 1347
+1946 <-> 378
+1947 <-> 170, 537, 573, 829, 1856
+1948 <-> 1074, 1089
+1949 <-> 1750, 1764
+1950 <-> 478, 689
+1951 <-> 131, 254, 1917
+1952 <-> 208, 1541
+1953 <-> 803
+1954 <-> 547, 904, 955, 1954
+1955 <-> 528
+1956 <-> 1343
+1957 <-> 99, 191, 1693
+1958 <-> 1879
+1959 <-> 1594
+1960 <-> 1016, 1643
+1961 <-> 1094
+1962 <-> 37, 219, 912
+1963 <-> 262
+1964 <-> 989, 1340
+1965 <-> 1056, 1396, 1598
+1966 <-> 1078
+1967 <-> 77
+1968 <-> 365
+1969 <-> 614
+1970 <-> 1878, 1970
+1971 <-> 1937
+1972 <-> 728, 732
+1973 <-> 1789
+1974 <-> 14, 1500
+1975 <-> 1363
+1976 <-> 1821, 1976
+1977 <-> 720, 1035, 1214, 1826
+1978 <-> 1260, 1347, 1639
+1979 <-> 577, 661
+1980 <-> 1409, 1557
+1981 <-> 1409
+1982 <-> 272, 724
+1983 <-> 636
+1984 <-> 148, 771, 1034
+1985 <-> 155
+1986 <-> 216
+1987 <-> 1987
+1988 <-> 553, 584
+1989 <-> 313, 1879
+1990 <-> 990, 1153
+1991 <-> 1597
+1992 <-> 364
+1993 <-> 90, 765, 1924
+1994 <-> 645, 1641
+1995 <-> 558
+1996 <-> 643, 1784
+1997 <-> 362, 1613
+1998 <-> 1939, 1998
+1999 <-> 90, 1212