TopCoder Statistics - Problem Statement

Problem Statement

There are several guideposts on one side of a highway indicating the distance to a gas station that has not yet been built. Unfortunately, the guideposts are not synchronized, so they might not all refer to the same location. You must build the gas station at a location that will minimize the cost of moving the guideposts to their correct positions. It costs one dollar per kilometer to move each guidepost. In addition, there is a limit to how far each guidepost can be moved without incurring further taxes. If a guidepost is moved further than than its limit, it costs an additional C dollars for each kilometer that exceeds the limit.

You are given a String[] guideposts, each element of which describes a single guidepost. Each element is formatted as "position distance limit" (quotes for clarity only), where position is a nonnegative integer specifying the location of the guidepost relative to the entry point of the highway, distance is an integer specifying the distance to the gas station that's written on the guidepost (negative values mean that the guidepost is located beyond the gas station), and limit is a nonnegative integer specifying the maximum distance the guidepost can be moved without paying further taxes. All values are given in kilometers. The position of the gas station relative to the entry point of the highway must be a nonnegative integer. Return the minimum cost of moving the guideposts as a long.

Definition

Class:: SynchronizingGuideposts
Method:: minCost
Parameters:: String[], int
Returns:: long
Method signature:: long minCost(String[] guideposts, int C)
(be sure your method is public)

Notes

Since the position of the gas station has to be a nonnegative integer, there is no need to move a guidepost by a fractional amount.

Constraints

guideposts will contain between 1 and 50 elements, inclusive.
Each element of guideposts will contain between 5 and 50 characters, inclusive.
Each element of guideposts will be formatted as described in the problem statement.
Each position will be an integer between 1 and 1,000,000,000, inclusive.
Each distance will be an integer between -1,000,000,000 and 1,000,000,000, inclusive.
Each limit will be an integer between 0 and 1,000,000,000, inclusive.
Each position, distance, and limit may include leading zeros.
C will be between 1 and 1000, inclusive.

Examples

{"6 -1 5","2 10 4","10 0 5","8 6 5","20 -6 4"}

1000

Returns: 15

With C being so high, we better make sure that none of the guideposts are moved beyond their limits. We can do this by placing the gas station at position 10.
{"59 23 13","9 8 28","91 18 50","32 10 80","110 61 120","54 45 18","73 24 118","30 8 73"}

5

Returns: 479

Placing the gas station at position 81 yields the optimum cost.
{"79 4 114","68 41 102","80 80 68","48 1 50","59 17 34","118 59 17","29 3 11","31 26 48","74 27 2"}

46

Returns: 5731
{"61 -55 20","35 -25 6","53 -14 78","52 -16 78","71 49 21","80 71 72","70 61 7","23 68 125","20 -16 9","99 44 82","78 -58 100","56 -16 70","14 9 3","86 63 99"}

735

Returns: 207977
{"109 -99 82","23 9 62","104 39 88","64 17 86","100 -96 23","101 -86 87","11 10 5","58 -24 25","34 -26 65","26 21 113","110 -25 116","42 9 10","57 14 105"}

908

Returns: 39432
{"126 31 35","122 -116 17","21 18 4","32 2 11","92 -98 35","110 115 106","82 -67 98","101 43 77","63 -46 2","45 -26 54","122 115 15","50 89 109","78 -67 90","113 89 87","22 19 17","76 -44 117","82 19 40","22 104 32","55 2 73","54 -46 5","15 -12 12","27 -13 43","100 -12 74","80 18 7","77 32 53","108 -52 76","80 -16 37","61 29 94","54 -122 10","93 74 46","78 14 100","9 -4 95"}

386

Returns: 320706
{"108 -22 119","13 -2 7","3 1 9","1 0 0","18 -3 121","107 -33 52","4 0 0","4 1 123","27 -4 25","4 -4 106","6 4 18","117 -50 7","96 -13 10","77 -22 92","109 -55 67","4 2 2","19 -16 65","2 -2 0","99 7 68","22 -20 82","44 14 6","83 33 59","108 28 59","11 -9 66","32 -103 119","63 39 39","59 23 58","61 -14 71","82 -26 10","63 -34 45","66 -15 85","74 -2 95","78 -58 84","38 -30 104","14 -1 7","21 -1 111","51 35 11","70 -4 91","84 -64 110","9 3 84","111 -41 6","85 -75 84","69 39 126","32 -13 26","48 43 45","16 -42 111","41 -115 4","34 20 15","25 -19 11","32 10 19"}

462

Returns: 267034
{"66 40 47","37 25 50","6 -3 59","88 85 110","31 -31 1","84 6 36","52 1 6","1 0 106","107 56 109","64 -52 37","51 -31 89","76 25 117","81 40 42","121 34 48","117 90 90","126 -60 26","98 -31 85","31 -5 120","106 83 110","121 -92 50","79 -12 51","67 -80 30","77 21 116","58 -6 48","85 -75 55","17 -3 2"}

26

Returns: 9212
{"914 -586 752","215 -40 1782","3282 -1317 429","3513 2972 2189","1771 1169 1778","3478 -424 3568","3014 1464 780","1261 644 862","3106 -1570 2075","157 90 111","1504 1131 71","3604 -2492 3245","1789 -958 168","2686 226 363","2053 -1649 2491","2485 2228 809","2310 1367 2265","3269 124 911","3665 -1524 3283","316 96 2696","3714 -2822 3179","3489 -1241 1531","2477 3579 1240","1216 -3658 3737","2464 1914 833","2239 3743 2223","1436 133 3080","3 1 3035","4080 -2088 1849","376 -273 172","599 -467 1239","2746 285 975","3605 -2414 3369","2605 -1235 3415","1819 1114 1619","2061 46 74","1469 -729 2651","1264 571 590","193 499 459","2399 1666 783","2511 -1830 137","358 -341 7","141 115 1457","2129 935 836","3301 904 1154","3052 1237 788","3914 3670 446","3075 -1715 3394","1532 -554 778","503 -272 460"}

693

Returns: 24433960
{"2519 2284 3482","540 -61 3943","328 227 4030","1914 1477 630","312 -134 9","744 234 227","2159 462 2844","2532 -2498 1335","3430 523 3851","2868 1741 3784","3013 1381 4018","3748 165 293","232 92 2415","3807 284 53","2223 -2045 611","2695 -2579 610","26 -25 2711","1286 220 3728","2432 -1597 643"}

485

Returns: 4314813
{"655 219 1638","3458 -1985 2795","261 -17 1349","2528 -2432 3426","1202 811 3510","833 -136 2074","1891 -1077 993","2078 2519 181","3851 -3307 3112","2715 -2534 1988","800 -282 2652","3686 -1024 66","931 -724 3074","553 290 2927","3965 -1780 886","2218 1283 3365","1825 16 366","4036 3102 103"}

861

Returns: 7326648
{"2661 162 4060","4030 3268 3319","2111 -1747 3218","1436 -1071 1041","1149 846 143","2135 -1822 2243","2406 -2114 2406","1098 947 2218","3476 -1436 1614","1652 787 2287","658 -278 3913","1239 -249 1414","443 79 773","3763 2881 2875","3447 21 83","3900 3542 1130","74 21 1605","2949 1056 1721","90 41 79","1193 -412 468","1351 116 2188","2435 2318 365","3992 -2700 60","1907 -65 230"}

870

Returns: 14747172
{"4068 -2164 4093","1260 -970 63","3257 2079 332","3091 411 3849","820 54 2517","1493 -1048 508","1042 -914 516","2744 2060 2355","3255 -3091 654","1335 -471 274","3920 -3335 3775","1200 5 205","3697 3646 2975","2416 4 512","1711 460 616","3987 2191 387","1471 -3583 3596","1724 -1560 1051","3614 -588 2882","3850 3752 3261","3930 -1681 3125","4006 -3214 710","3683 -2944 2358","2527 887 1914","1693 -1679 2031","3003 -463 1738","896 711 475","1876 11 2472","1033 -580 210","2180 1871 466","1108 -573 653","2226 773 2232","3848 -1571 3796","2229 62 3323","1924 1416 1413","804 525 730","1776 2926 214","1440 -640 977","2458 1435 1890","3525 -2702 3255","1865 -726 2300","1774 205 1825","2157 1676 676","2038 -90 466","2898 1586 2433","1168 -1166 3454","1986 -967 753","3060 -582 3630","1216 -528 715","1778 1427 1794"}

461

Returns: 13122982
{"1495 -911 423","449 12 2502","685 3724 37","92 -63 90","165 34 1470","2057 45 582","822 -780 780","3754 -52 3072","3902 -3080 3875","3423 2362 1016","1249 167 2399","1140 -976 563","3457 1164 3019","2231 319 295","175 -34 464","1643 -858 1716","3145 -491 2585","630 623 3312","3866 -1165 1283","131 49 89","693 -214 2914","1318 -606 551","2163 -791 2194","3400 -877 3939","3751 -667 2826","2151 -1388 3577","3726 -1496 769","2413 1270 315","2186 97 1363","2600 1711 1344","927 -128 3565","1960 1554 722","3670 -1328 574","2581 738 2750","613 -598 355","2236 -1058 213","2519 -1669 644","2898 1346 3199","2952 -544 3134","3029 -1087 2665","1579 559 3334","105 63 70","3134 1361 3522","2843 2087 1345","2188 234 1512","1408 -427 1100","563 -1570 1063","2175 1941 917","78 -38 1563","3277 -2277 208"}

491

Returns: 12630335
{"593 298 3802","2715 249 553","561 226 332","177 -148 2780","2889 161 2872","4009 -480 698","241 -173 945","294 -109 1962","3283 2402 623","1338 428 1095","3384 2064 1434","881 3587 626","1259 -724 1782","3724 3418 3010","48 41 41","1457 1017 3388","3952 -1634 756","3619 -1967 271","3967 1334 2576","699 55 2074","2216 2795 2709","2746 2644 3719","2281 -950 205","4013 -1308 460","768 2288 2723","632 172 958","2870 -1603 2277","2500 -1797 1449","1042 620 1875","101 -90 3972","84 -82 80","2161 -182 2747","3307 1647 2857","2078 1401 1320","3263 2931 1244","1960 676 2090","396 -163 1875","3014 2620 1506","2079 1776 1674","3706 3557 733","944 -806 298","63 -1 50","818 -509 1234","1508 847 2142","1230 -329 1050","920 -77 4004","3819 1548 3334","1000 436 2813","865 2292 2222","2504 -216 1622"}

457

Returns: 14481872
{"1020 -3395 3803","279 -240 1893"}

649

Returns: 2414
{"4006 -1387 1711","1643 -1022 2460","618 199 257","3377 2102 2782","2711 -1148 3492","3910 -1978 2980","1121 364 431","3756 -2678 3733","56 25 3953","1361 930 949","790 86 644","1406 3638 2251","2010 10 1077"}

822

Returns: 2394939
{"552 -187 33","405 147 3399","387 1 1927","1243 -2422 1088","465 -435 3760","3277 -91 1013","2252 -2169 1544","2391 554 449","874 -677 3046","2986 2912 3068","2169 1565 2086","2250 1146 1655","2626 1938 491","3876 -726 351","709 -100 3376","1427 -839 1158","3136 3008 3749","3951 3758 1937","40 -11 3772","168 -115 78","186 -69 3470","1530 1315 543","3532 1708 1968","2229 -172 723","905 -3741 3271","694 278 484","573 -292 1666","3713 -2249 3326","92 35 3588","154 6 2815","3170 -2833 3774","658 90 1649","2635 -910 328","3429 -1561 756","171 1983 3527","19 1 3834","942 610 886","2213 -2412 142","2186 1560 1760","2293 311 3498","2606 -895 1563","3575 -1960 984","2086 -789 2668","1875 -497 1014","2842 2199 2177","3726 990 575","3661 -2342 3188","2073 -1145 1486","1022 486 1188"}

945

Returns: 22101742
{"253 -206 680","2477 327 304","357 114 879","2938 -404 1566","919 825 1588","3376 1173 2576","455 226 3627","1467 -632 1676","3111 -669 2544","3142 -1209 1705","1099 -909 3169","3329 -3228 754","1151 532 4050","706 -550 1248","678 -827 844","896 297 1257","3494 -3003 2558","2051 -804 212","3434 2479 3846","825 3815 1273","251 83 3128","3083 -2071 4034","842 -364 153","3251 2856 3801","1687 534 920","3285 1532 813","1950 -1374 1112","4079 -3992 2269","1266 -486 2175","2018 -2009 3809","3112 2614 1134","920 -772 1850","3528 2308 2465"}

769

Returns: 11873011
{"3765 1545 1969","378 -315 3704","2924 -2303 3131","676 -267 4029","1599 1457 1611","2633 -784 1841","3481 -2352 2108","3191 -670 3834","37 -37 3289","1752 1123 3628","1176 -1167 806","1572 -1537 1596","1946 -907 4049","1098 2739 1484","531 -118 427","2434 -187 3366","1649 865 1341","3499 857 3302","420 190 190","1178 -94 1437","3284 -1540 928","1872 1173 3956","3886 -2652 1280","3369 -2413 795","818 507 623","896 -45 6","2412 644 1621","1894 488 3653","2681 -707 3555"}

476

Returns: 2537025
{"3386 -1125 1223","3619 1363 1027","1550 1005 3715","74 2 3800","3014 2407 623","3711 -1419 2711","617 293 3795","3825 -8 893","2021 -2528 4005","401 -250 3197","495 115 106","2044 915 646","4087 2186 341","1742 -480 1495","1056 462 1145","3227 -2001 3246","3926 2335 1885","1817 -610 702","4085 2031 216","3396 1781 2362","4000 1337 1893","1405 -1189 2590","1088 -690 252","257 -10 4090","2360 482 4005","2587 -1073 36","341 -240 1831","2311 316 977","1802 1171 1129","2913 1779 26","4074 2545 2616","1162 -323 3622","397 -342 2370","2427 -1960 462","2362 1276 3998","2254 431 2772","1292 1247 1112","12 -10 2223","1135 118 842","384 -256 303","1831 324 3603","543 432 249","3392 -1977 106","3398 -2134 4012","3990 2839 3970","1115 766 3472","2007 1120 1172","2708 -2389 1219","2095 1290 416","2421 -1124 1481"}

491

Returns: 15757037
{"854 486 406","2020 -628 2088","872 761 672","1900 -1685 349","2837 -1936 341","3823 860 3744","2882 -674 1373","353 -140 136","2989 1555 1698","1701 -316 91","3372 -2561 3223","149 -36 497","3483 -446 3261","708 627 3276","207 7 123","1958 1583 2437","3903 771 3370","3663 82 472","592 1488 1806","3560 -2303 3253","1886 1409 4005","130 47 2519","3573 -2902 3185","3322 2394 2242","2788 -1766 1395","5 0 348","2308 1719 822","3738 -1127 3969","2540 -2021 3915","2143 -824 3640","3053 2605 3107","3767 1637 1662","2052 -989 103","1452 983 95","426 46 74","1479 -568 1396","939 2339 2516","2704 -323 60","101 75 1862","3929 -2404 912","286 -22 523","1134 -233 978","3930 370 2963","237 183 13","3155 255 3268","468 295 131","3581 773 116","1281 -478 3769","1604 -657 1801","3896 1644 3763"}

8

Returns: 260614
{"130501868 -78439607 410738284","627713394 294343512 698237294","914629404 -660218913 525045223","603475360 -449940104 268744491","707180251 582029971 351078386","335101517 206044276 156524955","456653143 -25753898 319781179","473635774 35966201 776955574","925084666 662053272 809403408","55154043 39129892 266375903","286792625 -207089366 168271375","623149211 677621814 374629080","204548201 182930704 70041669","135889147 -46315858 608959456","619959457 -390281852 326449263","558301399 282518712 78839957","356522574 -307779852 125330815","298671649 -247213626 130199385","871980382 815529172 686230419","553237371 433798217 492573857","818633114 783130959 278886523","966566606 -857087545 572862687","747743425 312205650 71450124","285729229 -32235813 484491490","939607817 -375921357 585530059","189745892 13482070 447557859","12572011 8506879 1012019","637846375 520254471 988673431","84702826 -55043477 306164688","490276858 -479829112 381346810","356471082 43866050 221408017","104817289 -72161798 199751609","830343199 -657735767 2078436","675168590 -572027392 414947675","330456984 -232619399 68844258","340739245 -178689531 732049568","651892198 -257994553 680338665","225509882 128350418 197620398","805971460 787817126 782810814","474739547 346366422 456870632","994137817 993174413 433483298","458778985 -281261243 335245040","83387027 72807462 748516305","94069053 963755484 471163028","875781809 353377283 954124352","80638474 76140921 593232627","354706600 56938275 182196338","191178613 169585875 837828210","696556625 -543933061 336972991","461709893 -164022074 598419623"}

478

Returns: 3583006828654
{"53936489 40535521 497372971","349394190 169721143 227386994","488133577 -274062128 2554796","202668443 -178878251 86009894","511537370 192131136 752655212","205369098 -315848449 645287415","361712707 -251412314 437763189","375484971 109287658 3660158","943502852 312779740 40109874","373887435 36891874 490856350","169160539 -156030932 148457256","27093590 5219036 7249936","558250354 -352554401 660499390","888897984 -457835601 896915986","965137465 702791575 554386579","968336271 -778844107 921378326","392806165 -148810008 11385131","898831620 838378160 780557161","780758090 39699353 655250437","426083241 -265761209 292634994","372900172 92607809 53427015","474512596 197090678 45652535","579240287 426564628 424041913","376707813 -35611867 58718152","978791719 -8722971 48349851","162542911 -571759707 103820248","130550039 656747133 6230416","18778190 1580276 337034851","752397803 -185875436 644794828","733966111 -657160529 546525654","78500225 31095288 11688443","430372425 -82029337 792167820","819309527 -422608841 388307748","745080903 -731150616 865523683","168413948 146440863 68698975","444371303 259300480 683470706","219341351 -218498677 84611541","803612156 -307873418 246064812","245035873 -192713872 423350048","58720635 -2178002 30817241","734507097 -89573774 127976207","345064871 98422220 555541298","430335586 -627787403 24190916","594591988 294709823 614499251","713788078 -227255865 846932546","107829195 5794067 71518912","649090867 -527435662 898985132","26445410 -16470887 56765278","878751218 390617211 80229320","407222579 -253501540 519828590"}

155

Returns: 1293777711499
{"683284131 -338824445 778947674","542951223 137377931 534362749","209871405 657570447 879697518","543349341 86271352 810651425","795739898 -578438009 856741763","877082885 702184469 728210043","724150950 -918126516 388810111","849649388 -845584305 847071843","230502449 -956713697 78102760","48848422 48792129 4891270","600124206 341304821 615481807","507271232 219053952 421855176","659233596 -275117268 364844882","94456815 -761554298 276087524","934819012 -68022984 213448294","742825398 -426404245 676590681","680559899 -576940589 367793226","496569846 363121341 444667550","247014253 219789558 232526425","11535161 7960755 777117882","119713057 36025699 145939666"}

569

Returns: 1710002948986
{"621542837 365433207 99505048","925283426 -854137623 270979999","122366235 -92589629 438145653"}

132

Returns: 73213745045
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894

Returns: 5413998293033
{"861387829 -231552827 955316948","503976572 495638932 100916737","307490216 -89740579 946727666","576687375 -334537615 41542791","543719196 392258855 497305881","15787589 -8536669 308248346","368120740 -260560822 224462696","832887592 133800159 635045510","723857797 -866774699 22301955","121552095 86505298 20840681","986343539 -328523936 977541137","531863430 -75961203 48338195","861828386 -662596308 214703856","48397346 20999928 495654531","627517932 -254156315 92394715","701372784 -665757915 791108526"}

768

Returns: 1056176643628
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317

Returns: 2464566848176
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11

Returns: 58215174062
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894

Returns: 5989129778178
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443

Returns: 2368569095689
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101

Returns: 927830808646
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662

Returns: 919923287020
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5

Returns: 3678392855
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203

Returns: 1458182107969
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920

Returns: 7900972072264
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322

Returns: 151179806757
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928

Returns: 4537090554826
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475

Returns: 3410948711807
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393

Returns: 1846173484155
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925

Returns: 6748448040269
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548

Returns: 990892984494
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216

Returns: 629480533965
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46

Returns: 384234242676
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120

Returns: 1160058845223
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447

Returns: 2832951604757
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143

Returns: 413938068806
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891

Returns: 662412213864
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121

Returns: 1009214935708
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78

Returns: 203506020053
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664

Returns: 2732381579451
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485

Returns: 3948561079036
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328

Returns: 1206573869999
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279

Returns: 2036110737191
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338

Returns: 570743352649
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74

Returns: 383340964089
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380

Returns: 1468834634154
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601

Returns: 4991615621727
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554

Returns: 2969191443775
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105

Returns: 298158125590
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425

Returns: 1279043462481
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819

Returns: 4263522011864
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482

Returns: 1872028884486
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354

Returns: 2103018533736
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152

Returns: 1169076836281
{"697983213 -629350591 12488519","425580967 -115472505 834640586"}

98

Returns: 241475840
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487

Returns: 4602919209426
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220

Returns: 185018477453
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50

Returns: 141888844771
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426

Returns: 1007469774513
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743

Returns: 5721820980777
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976

Returns: 5826594998531
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185

Returns: 485494034882
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773

Returns: 5269993617863
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592

Returns: 957038035111
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872

Returns: 2781346405312
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879

Returns: 4732791364999
{"81364514 -57440881 12303112","931847454 -840209242 630308717","961495442 305941369 746439646","893770866 597824017 17723109","62799103 4367147 480656973","454959368 432258864 339993488","583118386 206692019 450407487","277981116 -255700232 285812069","59187797 33366225 235724857","593333506 -437404095 31893628","761596291 -378715659 812118720","44607076 25920422 859454651","42631848 -13295568 133827166","674630606 360175066 935111986","148717758 126183583 321450430","109422423 -37723581 715284969","125275692 -29838806 882758767","115550552 69099933 68986681","864470466 -659500452 114250323"}

530

Returns: 1193829210039
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504

Returns: 4294183871439
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587

Returns: 4959599648614
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449

Returns: 2649935286936
{"493896466 -20408930 7975929","956485428 328274358 393248245","100433941 93468810 94037538"}

711

Returns: 430230017207
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420

Returns: 1612375958522
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608

Returns: 2847620536872
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232

Returns: 2147402077823
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586

Returns: 2995127108063
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38

Returns: 208283696578
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485

Returns: 2006956940397
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14

Returns: 115912967016
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168

Returns: 801164239513
{"55171095 -28049637 9859137","336835172 8018711 213219030","631229035 -464803886 905560323","556061638 -111977517 537092175","394401318 162462292 290852884","461610202 29432509 44280194","349519897 198149818 540523418","592729478 -576826149 328180632","391586011 277368275 147550710","547026100 454272223 994177350","782069010 258773824 915000133","328209644 180288721 562547798","185024560 127682138 635205633","54855413 -3495224 244231152","562861607 -377710033 273327362","810303576 398363357 241229845","432483252 -125801777 14605275"}

559

Returns: 721210345731
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388

Returns: 3459537497174
{"39528455 -19777453 200415647","919245616 718024954 349584079","737326675 -87007873 86251808","51884722 37291337 764988987","203828541 88859457 155730667","978039590 -792646431 396346850","314915341 -269394571 545365230","570612138 -342858463 452464155","105662421 -57032711 838744011","790489158 -733449109 270015135","594556064 364974270 275590587","586671933 459203190 888076958","591057742 214014562 271383403","339365001 -308679778 430150334","977889948 -171312858 491540721"}

893

Returns: 1446615640903
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559

Returns: 2388218735888
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903

Returns: 5888227203336
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57

Returns: 111465415561
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934

Returns: 6263051763485
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448

Returns: 2887356196108
{"5 -6 4"}

315

Returns: 1
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417

Returns: 2947929185199
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529

Returns: 2644981560885
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590

Returns: 1948763872392
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889

Returns: 3601414933052
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518

Returns: 4269570392655
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489

Returns: 2098457691616
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855

Returns: 6601418586100
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423

Returns: 1968617855083
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954

Returns: 6500067309634
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891

Returns: 5815418785768
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197

Returns: 852352883753
{"528271656 -6694813 935445213","923809563 -673715296 584989449","455321870 -257598731 200617824","361127440 -292977799 186100972","939860513 882899072 604985219","814032642 150792826 135651979","659114491 126359156 469915726","694764623 -4854117 50246771","444415732 -169084976 50428852","38393028 -995256889 4324372","131218198 36492391 304454825","507079833 207129562 62240890","278289868 -55038135 175321401","896391948 -157089297 788232516","45107168 -10860791 725521478","681494676 -37398620 984558377","182154423 -41328393 297408497","43512838 -465381412 8302826","294890733 -74854406 123917297","65984292 -3215487 807446468","548045257 -365238576 72367058","123029871 61900501 87541843","908694045 610551387 24399804","312107047 194132416 299331571","122818692 46986863 48023635","437095659 -145099563 679220810","244333608 -155524417 504041943","471577692 -366315009 632507971","172472438 -112038123 3187677","513019033 -90263793 770913623","501037919 -567427363 34587299","11363234 981431906 5131753","780278050 456642349 484542906","492386275 -73057478 221335376","643878319 156827581 615099717","243130217 189818978 337981384","183834402 -93483132 72882705","60980889 3292635 39529902","242242024 -10566985 12047253","238186340 463600408 786582197","2842252 2209740 819300","805438528 562601280 898781938","89176639 -828379730 297898096","929465981 -953166452 516324088","419262100 -99048243 356095867","157108646 -22462383 3287887","37708304 15908265 34929006","986617357 568112000 439584020","47540337 -42375948 805917523","145350329 30527067 757488264"}

452

Returns: 4428455235935
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366

Returns: 2028415667614
{"922375248 372337934 157147084","570912151 -473727018 87857330","873645923 -791381775 412963169","803095144 -450674451 22824775","835409960 582012476 730030618","569015669 -134487383 481578439","926974401 -683855877 239855500","29056129 9647741 440144573","439110842 357228023 298095213","453685686 -883175240 326340229","267085137 35687545 380412321","13697864 -2905886 13534905","865466239 -757231793 518231055","72219756 28064131 839173634","268048251 -74163912 45044488","82784390 7620540 70621597","814728347 -683005225 31429460","209525713 108192946 946312080","964371896 -644381380 943654501","17092403 14132624 12990555","350865794 132922658 553483488","483245781 459426340 80458334","724388447 -418110126 738440896","885105059 -265846904 73192464","588547290 -422246138 426733350","639377912 -516490153 761966176","422275233 -506545698 73763268","90705911 -23409096 21172325","513712033 360509037 272860930","884652637 -804499894 394504818","733258704 -95295923 976526747","884558551 766933374 827372766","231453586 58950497 34520720","813593885 -408379137 83117725","41708517 -18729102 663463352","494043746 -276099459 1859206","72309443 18118742 911099758","164444378 -143314562 82412043","398190916 -99247764 392240486","185243491 -84681129 4958180","556207250 -502991221 607627065","290842518 195717103 240502549","424466873 178666450 129485472","493999304 476772063 987193085","160795585 140223493 468130782","475763909 -411830136 233275947","939647172 62707976 7554338","645222222 632235616 510322837","188475870 -522803160 120125011","934142879 407683555 705475355"}

598

Returns: 4605745218645
{"942632189 518617687 314638207","630283028 142695088 163580114","912281395 554547506 188105144","798278153 -131966028 260154214","124231592 -94508189 276949472","53316696 -107642697 48105483","503573335 -151567190 808251860","532119716 -478171521 474613189","483707395 260732423 94792037","857774 380053 685864309","484612999 -67089373 468163319","299493908 -371084692 949767159","156862982 64081358 130248744","820150038 516630193 66341222","311485472 238496115 558976955","66727657 466867760 345398732","414395796 398804112 663900761","505823084 -497556026 426198052","627145208 -465519529 720683494","31048241 29881127 8886051","600872040 494023288 35057527","71558971 53460195 27931126","135557219 -19627743 800396857","255585255 236676943 874287557","139178801 -48987531 694046143","235371727 -156386815 419898778","899555960 -581502249 68914316","331895213 -27969219 39779404","788904954 -628520935 384039907","705432714 362766234 60018521","487750543 -335902881 172781593","445417916 14301341 102588328","736047054 -203461008 965692670"}

765

Returns: 4218415485648
{"557890090 -353523988 397214476","600101320 -373934008 388041753","889029841 -628179218 546561434","739233514 -516503829 896888874","833080673 -249826074 587157345","31967263 -1390264 40310284","399565990 -291093357 350301614","846216724 -168637980 451733688","367764090 -185354309 959792208","30819535 30621204 15520717","737822249 -271739702 347569756","700875773 -673584565 672288039","460218807 327565679 25346160"}

723

Returns: 610021407738
{"477687807 349987645 267314095","397827020 -191974542 5806640","232650318 -199078619 108852566","861545625 -415960689 49323367","888361981 294958726 184041356","636139475 -447407407 342491594","32246339 -22658302 677807250","977620095 542531392 499741315","202600653 -34877856 109599780","388869264 -273479312 236989585","802221547 602271558 791987776","941266586 -182404336 47526883","666102041 258342340 640334917","53855307 -28152278 48898809","67801118 4891385 643165146","826505606 -2966231 648569060","710528149 -107130302 538369971","583145497 -36802643 581096832","11259035 10423804 9630957","557669983 -242831918 6159692","358439681 -75204561 408956930","341623634 -247358591 352654902","558663719 -346661810 250156540","133062867 40463346 95978623","691212911 303560719 550244778","716905789 -316730042 722584096","96251890 3250345 30397271","362174325 98663494 213254618","500673736 -17921662 524258647","381865231 -298928667 639762170","205740603 -128165290 368702566","392124499 -539317782 4858968","223867020 -2378426 20609918","522783766 125408183 935717416","49676341 -30030141 723725965","647114185 143764313 305910141","175929560 -171328351 529214521","934718000 -912396892 150191551","500213547 -485008331 533210635","13477269 3668931 202912620","32968363 -22729187 278441291","707242112 244122978 793567426","306458337 168970388 15484657","746173486 -324092442 257123416","22396268 13674678 291356803","581959267 314728780 176817835","67006780 -48940300 524435940","668307024 -559176371 679533860","436040869 824712566 16160841","303783070 -68324651 604422700"}

20

Returns: 137342371042
{"253428869 -233799721 179194585","999952348 -900288817 6420754","217375628 -78706216 62715050","334395906 216110249 584550055","723652819 142088804 380510939","917805012 -706236333 457796322","7085228 -2576525 2554185","187057749 157722753 67332962","537029385 -90238936 468375016","663530360 -643395383 550508339","502508788 -81466528 686149841","676358722 203153452 28045850","748003550 -883223639 98418645","528635928 -136019971 972387041","54269104 8455900 90804943","97770860 895850879 752920240","26803636 10213580 109396952","781162595 -60980560 574729348","675571160 341022368 35929088","634320428 -11203304 4832054","56336606 19481120 425594617","984438815 589338787 496220596","695069039 -41329229 255872761","789154784 705356638 159503707","422469416 173072576 950838283","47182359 -6025144 40810896","139696678 -125840405 367836456","982103422 -261106591 339965711","14958995 -6917563 245655281","66335314 44036038 336172674","740454978 -892357750 260336646","868161646 -588918147 390316387","109339487 -9501771 212585801","862123661 -304452325 40761659","655497918 195372518 340356237","761035672 110331842 237775023","336721230 189435691 313754244","478785250 -306803588 281841411","721584051 629599775 332183786","750981818 -487480294 716447225","923638821 464163231 354751547","445149382 17822746 904177974","925961719 152081219 149785717","236598781 40209049 178685338"}

436

Returns: 3536879497002
{"638075384 -281014094 961270332","219920436 142768076 29685093"}

165

Returns: 5627222
{"321015831 -40934532 687311633","590224913 559204348 287738490","560043118 21729139 8683830","194762957 -116065208 64986371","249182872 -199881532 594700561","855622016 -162766117 284652366","607411544 226222757 428572983","192385964 -75146873 633992804","840477562 -237155759 143269884","310799414 -45345330 3925041","365101293 -51579956 776688809","562321749 -331731928 194836131","66579922 63585376 52853849","60521771 -27707931 187792645","675464636 596313634 273791230","467837841 318535605 603594179","864570477 644217460 738417462","332896727 -52918419 294230515","167641814 112786726 624794987","754501516 -297915551 79771995","6328880 -993848415 369595343","268863880 -137522856 528731343","926843986 -511379812 572073445","955430092 109599672 31259670","73563075 -5752067 15924959","272039160 264218927 136777661","911700752 -758360073 210001161","149279331 50993662 3840633","579764335 -309177986 736440872","510408221 247636106 178074899","936207291 -356149631 43548744","898731618 166083501 114980485","144394309 -139697576 878769216","435340354 -94711617 212588672","883192083 162585950 73195936","2632078 168639204 561229537","202001795 -71846991 115139545","424626261 -1836192 340677997","80086379 -67845217 72445096","206821722 -101539162 699533201","677918514 -414163165 455821225","752055681 -746669438 175179426","126760816 104557469 32919485"}

479

Returns: 3330986557578
{"1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1 -1 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0","1000000000 1000000000 0"}}

1000

Returns: 50050000000000
{"1 -2 10","2 -3 20","3 -4 30","4 -5 40","5 -6 50"}

333

Returns: 5

Interestingly, all guideposts refer to the same position. Since this position is slightly off the highway, you should move each guidepost one kilometer.
{"20000000 0 10", "40000000 10000000 10", "60000000 20000000 10", "80000000 30000000 10", "100000000 40000000 10", "120000000 50000000 10", "140000000 60000000 10", "160000000 70000000 10", "180000000 80000000 10", "200000000 90000000 10", "220000000 0 10", "240000000 10000000 10", "260000000 20000000 10", "280000000 30000000 10", "300000000 40000000 10", "320000000 50000000 10", "340000000 60000000 10", "360000000 70000000 10", "380000000 80000000 10", "400000000 90000000 10", "420000000 0 10", "440000000 10000000 10", "460000000 20000000 10", "480000000 30000000 10", "500000000 40000000 10", "520000000 50000000 10", "540000000 60000000 10", "560000000 70000000 10", "580000000 80000000 10", "600000000 90000000 10", "620000000 0 10", "640000000 10000000 10", "660000000 20000000 10", "680000000 30000000 10", "700000000 40000000 10", "720000000 50000000 10", "740000000 60000000 10", "760000000 70000000 10", "780000000 80000000 10", "800000000 90000000 10", "820000000 0 10", "840000000 10000000 10", "860000000 20000000 10", "880000000 30000000 10", "900000000 40000000 10", "920000000 50000000 10", "940000000 60000000 10", "960000000 70000000 10", "980000000 80000000 10", "1000000000 90000000 10" }

500

Returns: 6387749750000
{"79 4 114", "68 41 102", "80 80 68", "48 1 50", "59 17 34", "118 59 17", "29 3 11", "31 26 48", "74 27 2" }

46

Returns: 5731
{"59 23 13", "9 8 28", "91 18 50", "32 10 80", "110 61 120", "54 45 18", "73 24 118", "30 8 73" }

5

Returns: 479
{"1 -2 10", "2 -3 20", "3 -4 30", "4 -1000000000 40", "5 -6 50" }

333

Returns: 333999985348
{"1 0 0", "1000000000 0 0", "1 -1000000000 0", "1000000000 1000000000 0" }

1000

Returns: 4003999997998
{"6 -1 5", "2 10 4", "10 0 5", "8 6 5", "20 -6 4" }

1000

Returns: 15
{"1 -2 10", "2 -3 20", "3 -4 30", "4 -5 40", "5 -6 50", "1000000000 1000000000 1000000000", "58245425 24569456 3281452", "54864654 48454512 18152584" }

1000

Returns: 1166886088110
{"123123222 12321323 500", "1 1 4", "1000000 10000000 20", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "1 1 4", "1 1 4", "1 1 4", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "123123222 12321323 500", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400", "21312 1232 400" }

333

Returns: 817848649440

Statistics

Problem Statement for "SynchronizingGuideposts"

Problem Statement

Definition

Notes

Constraints

Examples