TopCoder Statistics - Problem Statement

Problem Statement

This problem has a non-standard time limit: 8 seconds.

We work in a depot in which various packages are stored. Currently, the depot is empty. We know a precise schedule in which the packages will arrive to the depot. The schedule is given in the String[] arrivals. Each element of arrivals has the form "D I M S" and specifies that on each of the days numbered D, D+I, D+2*I, ..., D+(M-1)*I one package of size S will be delivered to the depot.

We are expecting exactly one transport ship. The transport ship will arrive at the end of some day and it will have some capacity, but we do not know either. In order to be prepared for various alternatives, we need you to write a program that will answer many queries.

Formally, let Q(D,S) be the following query: "Suppose that the ship arrives at the end of day D and that it can carry packages with total size S. Will we be able to fill the ship perfectly?" In other words, Q(D,S) is true if and only if there is a subset of packages that have been delivered during days 1 through D (inclusive) such that the sum of their sizes is exactly S.

The queries you should answer are given in the String[] queries. Each element of queries is a string of the form either "D S" or "D S A₁ B₁ A₂ B₂ N". The first form corresponds to a single query Q(D,S). The second form corresponds to N queries: for each i = 0,1,...,N-1 we ask the query Q(D_i,S_i), where D_i = ((D + i*A₁ - 1) mod B₁ + 1) and S_i = ((S + i*A₂ - 1) mod B₂ + 1).

Return the total number of queries with a positive answer. (If you were asked multiple queries with the same parameters, you should still count each of them as a separate query.)

Definition

Class:: Depot
Method:: countPositive
Parameters:: String[], String[]
Returns:: int
Method signature:: int countPositive(String[] arrivals, String[] queries)
(be sure your method is public)

Constraints

arrivals will contain between 1 and 20 elements, inclusive.
Each element in arrivals will be of form "D I M S", where D, I, M, and S are integers.
queries will contain between 1 and 20 elements, inclusive.
Each element in queries will be of form "D S" or "D S A1 B1 A2 B2 N", where D, S, A1, B1, A2, B2, and N are integers.
The integers D, I, M, A1, and B1 in arrivals and queries will be between 1 and 10^9, inclusive.
The integers S, A2, B2, and N in arrivals and queries will be between 1 and 300,000, inclusive.
All integers will be specified without leading zeros.
Consecutive integers in a string will always be separated by a single space. There will be no other spaces anywhere.

Examples

{"3 2 4 2", "4 3 2 3"}

{"3 1", "3 2", "3 4", "4 2", "5 3", "5 5", "7 6", "9 1"}

Returns: 5

The image shows arrivals of four packages of size 2 (denoted by letters A) and two packages of size 3 (denoted by letters B): B A B A A A ---------------------------------------------> 1 2 3 4 5 6 7 8 9 days On day 3 we have only one package of size 2, thus answers to queries "3 1", "3 2", and "3 4" are negative, positive, and negative, respectively. On day 4 we could use package of size 2 which have arrived day before, so query "4 2" is positive. On day 5 we could use single package of size 3 or combine packages of size 2 and 3, thus both queries "5 3" and "5 5" are positive. On day 7 we could use a set of three packages of size 2 or two packages of size 3 to get total sum of 6, thus "7 6" is also positive. We don't have packages of size 1, thus "9 1" is negative.
{"3 2 4 2", "4 3 2 3"}

{"3 4 2 10 1 6 4", "5 3 8 9 8 9 3", "3 2"}

Returns: 5

This is exactly the same set of queries as in test #0. The first compressed entry specifies queries "3 4", "5 5", "7 6", and "9 1". The second compressed entry specifies "5 3", "4 2", and "3 1".
{"1 1 1 3"}

{"1 1 1 5 1 5 100"}

Returns: 20

We have exactly one package of size 3 (obtained on day 1). There are queries "1 1", "2 2", "3 3", "4 4", and "5 5" repeated 20 times.
{"1 1 20000 1"}

{"1 10000 2 20000 10000 10000 10000", "2 10000 2 20000 10000 10000 10000"}

Returns: 10001
{"1 1 1 1"}

{"1 1"}

Returns: 1
{"89384 30887 681692778 16", "47794 38336 719885387 13", "16650 41422 25202363 8", "68691 20060 44897764 7", "80541 83427 304089173 17", "5212 95369 294702568 10", "65783 21531 278722863 4", "74068 3136 101513930 3", "34023 23059 369133070 8", "61394 18457 628175012 3", "76230 77374 859484422 20", "13785 98538 734575199 5", "98316 64371 129566414 7", "76092 68981 911759957 14", "6863 99171 982906997 2", "2306 20926 937477085 8", "60337 26506 805750847 10", "61314 25858 141616125 16", "19583 546 998898815 8", "15435 90365 374344044 11"}

{"477171088 26809 945117277 889947179 45789 43585 5404", "918502652 42755 474612400 53999933 45061 49677 43369", "943947740 10013 855636227 749698587 48095 47540 40796", "463480571 1435 975960379 317097468 16602 10098 12903", "330573318 20493 687926653 660260757 47302 10281 24287", "593209442 3866 894429690 364228445 46620 8441 44730", "63958032 8118 114738098 7905772 34482 40676 20710", "791698928 4568 498777857 255179498 22354 4587 26966", "269455307 14684 352406220 600028625 1529 32872 5733", "120048830 9504 515530020 713258271 13369 9709 36716", "373226341 18150 200747797 289700724 42619 2246 22847", "439493452 42922 760243556 231192380 47489 37765 38229", "147469842 42351 911165194 269441501 7035 37765 20125", "155324915 36988 982275857 275373744 46492 22228 48366", "960709860 31937 771151433 186452552 16438 49229 3276", "213975408 1475 626276122 653468859 44396 36030 11238", "605908236 23794 76065819 605894429 16144 31012 35929", "784639530 18777 597322405 939964444 5764 14614 4539", "352118607 36841 909002905 165344819 35129 20689 47370", "492067918 19918 680466997 706043325 37744 9471 12184"}

Returns: 501185
{"98491 95500 96689773 6", "85645 55591 544617506 20", "2955 69787 27907670 3", "8543 88465 933110198 8", "59356 28805 789376349 12", "73623 27829 34949300 4", "95747 35569 335354341 3", "23312 13811 447267606 2", "25662 73731 308044879 6", "29321 78737 590079445 7", "48523 3466 402586709 17", "8283 13259 559412925 18", "42063 5625 238962601 17", "33453 11900 431419380 11", "47469 90072 707900974 12", "3882 84931 776808934 15", "58661 70164 58657200 2", "48900 52997 260152960 14", "72814 39669 25187191 16", "52927 16467 704365085 1"}

{"638422091 27685 953443377 876855543 5937 29108 17446", "588219757 19180 57418419 995706888 39413 3349 32173", "387451660 12010 562402337 298625211 16343 17588 28207", "555319302 47714 476667373 70575322 1256 14820 44600", "697517722 29905 950955940 335939812 23941 15668 11706", "719346229 11128 414829151 307565985 46659 13921 39225", "231602423 17270 780821397 619054082 45631 40085 29293", "6811973 7673 570073851 414647626 5386 41223 39300", "896306641 6043 111783899 446340714 2299 6191 30525", "846942591 38210 700108582 566288820 49337 37733 21156", "927495995 18005 882160380 11614770 35274 31777 18851", "246247256 21861 548348143 105575580 45885 21994 23206", "452867622 29568 857962505 201690614 1962 12755 31327", "411154260 18945 282828203 110613203 23507 36785 2022", "486222843 40869 255789529 266235190 8873 49909 49959", "777210499 48037 908518809 23457754 36249 33304 33334", "329132134 21649 501772891 781999755 17568 1747 40369", "364319530 14501 484238047 775473789 49798 16250 36991", "739273304 3034 415505364 78012498 10254 44893 47687", "795519126 11153 474613997 425245976 9189 49158 3730"}

Returns: 574430
{"95437 32461 430253415 2", "70461 26305 496060029 8", "78051 66749 192707557 3", "4795 97698 655858700 4", "1040 32003 186090429 4", "44501 682 498617648 19", "36160 95152 144522536 15", "4340 71693 113502216 8", "20505 55630 722060050 5", "98286 36430 136495344 16", "3178 2901 503885239 12", "16950 60290 655495368 9", "92293 85796 389040744 5", "2830 58391 402961683 1", "53542 570 337453827 13", "72262 56043 941690361 18", "28024 66762 866000082 10", "3191 95426 500618997 8", "14678 4235 61730691 7", "64525 26058 748349615 9"}

{"411328206 40359 9726313 696947387 15101 4347 2727", "630634995 4917 707056553 564325579 43530 28947 32291", "708302648 6971 874799052 426819081 49632 18594 30858", "386418628 41313 318561887 243439215 38356 43513 20091", "788014413 9480 241909611 51858970 16190 2275 6356", "826047642 6621 970925434 309198988 27889 48339 24567", "37487771 27285 232056857 745790418 607 22261 25850", "137100238 7206 159473060 376035218 48519 34946 40784", "353436874 28459 584710874 993967638 4290 20484 26608", "37770479 22758 647149315 716334472 45730 41101 33460", "39723619 39439 899058026 77211389 33075 31234 18158", "645933682 3494 553160359 635550271 10700 33418 1840", "204275570 18364 336092623 410228795 13174 19848 46432", "968217463 6683 302539391 858504293 45792 5058 5116", "388391522 46158 452888575 280631492 1948 12952 9232", "521035022 10538 738393741 19485055 14031 4099 35326", "905241082 37517 371653517 962033003 22232 46140 11797", "73785405 32339 628974581 894519219 39022 13971 39863", "21784813 35380 32894978 262692686 31537 49905 24177", "985433484 29208 606199760 358984858 39745 43500 19912"}

Returns: 454957
{"20128 63951 33505237 1", "67819 75106 991810564 10", "21245 88712 319041806 15", "63292 77376 937558956 15", "33590 43769 215828994 19", "52806 76883 747844823 3", "26718 24031 76593094 15", "30127 86594 502781487 14", "50544 3075 733327815 14", "78180 38378 500474763 16", "27089 32920 615935711 13", "10295 11018 269400347 16", "71138 45692 524305154 4", "22574 66329 910300926 12", "6711 94019 7277218 17", "96964 75056 255387091 19", "78131 14905 130698572 2", "69634 89686 567304790 14", "22605 56852 419806 11", "67869 36504 861109486 7"}

{"460082196 14640 952062950 577721121 30968 30227 36764", "630387678 40597 467963982 34740866 37561 39037 27956", "690367771 33519 131359212 821066343 22533 45197 22380", "104627322 8271 312994985 140384173 44428 44235 2041", "738647284 20073 94307399 51245831 1064 20348 16951", "520982031 574 89653715 3886060 7523 34048 26925", "982945083 39436 181271233 525829205 22955 30444 11899", "64945487 25641 356684279 22089160 263 29263 39684", "242561042 39849 597141724 981208325 26273 49123 4155", "217927336 35822 513937458 738909366 2748 41172 11777", "372160270 25219 633938702 207621704 14654 9934 908", "487053960 6729 932862807 404515798 48721 47085 21309", "174515335 42699 294110992 417076377 48899 2716 1053", "452825172 18190 135771560 670752507 4011 9017 28225", "82173110 16540 857490001 454333379 8110 45054 5082", "931489115 21339 395405990 271059427 28068 35148 25224", "687776788 32232 954696533 862292123 41282 23876 34851", "380390180 26591 235202255 833215351 11132 23814 17858", "158381495 49182 766146082 240554604 15721 2434 37983", "803590182 47488 209359416 735079297 18826 15405 38723"}

Returns: 394427
{"96893 50552 534230298 13", "99135 43182 78898507 16", "67058 99709 623380596 20", "1963 12298 420687484 17", "80155 68978 395191310 8", "39933 23383 907895022 7", "13564 8861 428903683 12", "77686 69087 476564286 11", "35991 94584 305197315 17", "54117 95821 875641893 6", "95529 38840 787897526 11", "51137 1361 267889619 4", "70338 80929 610506583 2", "4311 17956 384370889 6", "26816 74571 390543438 14", "60009 7723 304811784 11", "18658 9098 856363828 7", "21270 22072 287726652 10", "60911 40529 892430640 19", "41889 36611 627992394 18"}

{"528433891 48977 646755200 270754553 16932 26088 38778", "413360100 658 286448567 629580953 27018 22642 42736", "620089369 41299 396918185 476453196 46777 5806 25267", "664423429 38955 849552529 445080309 19594 47279 22198", "372556 39673 916250775 528806446 5001 22326 10998", "332238284 48413 695466128 745598383 15422 14694 29335", "539942440 37335 162088422 12548160 44986 22958 1355", "953691762 28763 402492973 470631542 17717 11853 11851", "737703663 25483 202550400 738076218 15155 1174 49016", "610486507 39852 771476365 942724791 38264 42492 23173", "829570038 23538 916018860 222028829 10872 7281 26988", "866355857 46591 723578342 672563971 25353 37666 45512", "599893070 49518 58907362 190113084 41352 24113 39301", "931706507 41639 900104668 394709365 31490 31033 34155", "158136105 39876 878273680 987706142 13413 42539 34970", "434290637 16171 444311957 153162845 12761 6650 26815", "769304466 44315 968922327 221713887 10184 46040 26970", "978701536 20153 192532622 762924394 11791 37290 110", "404259632 34674 347584265 562395736 24549 24296 1878", "752704314 16834 612353199 186994950 49356 15156 7794"}

Returns: 497532
{"78469 88157 18400961 14", "98824 23287 213213172 19", "85678 40141 399493246 2", "72762 33991 499150324 11", "84101 9955 379461076 5", "22043 35625 451042660 20", "56290 25845 333293470 19", "41552 74977 972125384 20", "63134 26344 840019305 17", "65982 32476 373953667 12", "88968 46913 970090193 10", "80903 56869 111088132 3", "83175 49208 38649719 17", "1184 92378 116945488 13", "34574 38958 554725063 6", "13934 66798 698312497 19", "93142 48154 522971727 15", "96981 25394 455843486 9", "72306 50031 28264030 20", "6899 52161 124734563 5"}

{"482417720 34281 926411642 812718903 43011 23481 42727", "24027584 28790 995234141 21303709 42724 939 32558", "461152494 10432 962980711 984124221 35906 27691 49614", "105629392 13639 403938271 384079422 27668 7830 2672", "107096181 8744 367209096 589513900 43025 37089 49155", "213952387 10570 695258233 237979970 5711 42374 31", "984498434 9664 683932588 298167280 20095 29650 41500", "16922352 7340 15857465 122551743 37331 12087 47516", "666231350 19916 195950187 625843882 45012 25635 24134", "240854388 12723 322623288 454806774 39644 31520 36743", "549495355 40245 657103125 386510140 16260 2064 27419", "845636354 31713 819485270 862558706 5405 42734 26800", "2992735 4820 196774316 521740436 41088 40854 670", "332702451 16488 67974803 573556838 45563 48090 13611", "531585206 45961 573666705 933596912 2558 19830 23404", "5418817 21893 857300822 703571523 3606 2444 46580", "274325362 11529 256273379 129834448 32701 14046 24883", "125023788 4900 651675552 310242590 21387 354 49427", "286966949 14795 912163037 671068507 27108 46093 15418", "750679665 15922 777288821 756098481 4167 5995 36355"}

Returns: 588565
{"74124 8438 730832934 5", "86318 6313 219933932 18", "86710 25166 240959157 9", "17070 1746 907712996 3", "1172 96296 763148570 20", "64802 25677 538026653 12", "5341 58926 805251744 13", "13092 74090 510906528 7", "98879 55813 564003051 17", "62125 53334 363304214 7", "78500 63371 775056795 9", "65116 86142 389079343 20", "82438 44264 642663199 11", "69940 6203 181226514 12", "65129 78258 485511805 12", "52347 34684 124898139 6", "90496 17541 245036422 13", "87227 40635 956134159 6", "20357 90953 832077646 13", "93447 73340 663568112 4"}

{"78417604 47662 707255826 922587543 20217 32340 29175", "37335345 10597 547407331 540846268 29295 42014 10758", "3980520 48861 912194651 101533293 17833 31877 40280", "25251991 13954 627510636 608959296 41599 46108 2742", "91714938 30571 281944977 170132541 44585 802 20084", "419914801 49493 154615610 309766497 26441 22940 12764", "316505736 31305 221389874 173002607 30165 34524 2252", "64564350 32752 689442531 89816340 46705 3166 41987", "132688303 15626 131761080 76919592 12548 22408 18485", "609707132 39562 44804920 29621932 39054 20529 38428", "295815495 9820 42517544 464837582 41124 23769 40188", "700287640 24644 764892439 764851989 7395 1321 34681", "145854099 4487 110993019 131058753 36464 4099 44696", "728149011 26506 160063180 337856143 16067 18099 44426", "307571473 4979 559382854 603386967 14798 16749 24548", "568122273 40517 558581087 268409913 15160 39878 11901", "704572554 41198 592962933 702943004 12036 5952 18108", "453048499 10050 599529155 33713862 2907 42335 20004", "777635326 26785 591564429 85206798 31764 13634 10116", "84546561 30382 461851015 505185186 20898 32101 45098"}

Returns: 506211
{"2409 38330 659373350 14", "95880 52635 814634317 15", "8586 68776 649022766 7", "97931 36627 916237893 17", "6630 89570 234799753 10", "96367 81516 354367396 14", "44429 47777 487073848 14", "85027 22301 376941063 7", "60630 30764 212295101 9", "83398 29417 989230776 3", "14545 53541 263043321 7", "6519 97566 456651795 20", "87135 51547 578716909 14", "33063 84304 87522687 3", "48433 96535 701539808 11", "18835 80870 244453597 16", "27985 48697 989352325 3", "94466 99452 468519717 2", "69344 63038 460654188 2", "60603 5982 575705361 9"}

{"461273880 38621 256363942 313823294 22925 36629 17136", "390387709 33163 113556943 386753871 1997 4164 7467", "49197812 48501 940472516 891066488 26235 33333 32291", "851445951 8694 896551634 435525340 12881 27495 2294", "781485214 32855 245466383 95275445 21476 30324 48739", "767110752 16952 821115874 10014812 16466 39169 18682", "322334814 9684 880492500 224048978 24536 15015 15465", "636600770 48347 542314108 340563073 23392 15741 38412", "217852624 9588 680007058 999337837 8794 23440 13282", "330546621 20115 356228372 97657372 3419 10597 38535", "594769884 49765 209473568 917104698 25801 16068 3675", "607500336 47434 108785491 96617458 12133 15950 30530", "919785524 31691 65785293 137638148 7630 42350 42336", "981766423 32141 936621969 312313044 2256 340 36767", "634172026 10937 75191654 81458261 27053 15221 12958", "198619205 31288 992232984 806119541 28722 34827 36998", "556707206 17128 192433879 476492729 15170 19171 47228", "582972799 11521 456139564 564739222 43661 27884 18617", "183912268 28224 992055383 818084293 5512 47036 42554", "705632564 28609 750621863 904251769 9896 21199 37661"}

Returns: 528322
{"54969 22377 318141010 14", "89504 74888 455371255 14", "94058 18482 251243824 10", "74397 83045 5631943 1", "68013 44210 866596856 8", "44855 52367 162403135 20", "1282 31743 215341974 2", "91639 13172 310273414 19", "51900 14423 346941485 16", "5662 29091 296528781 12", "63924 72604 238138001 1", "72001 69943 988506953 13", "30505 3808 856979760 19", "72526 82895 758179118 19", "14637 21091 173059561 7", "50615 32974 405201938 6", "63749 43422 182176621 10", "88864 5401 421101833 7", "78005 39834 201407459 17", "26128 14411 709606369 12"}

{"897534570 36129 39848342 37623447 35375 27459 13606", "824700011 14902 488873166 861838990 31868 22491 40927", "667250733 36239 871700700 701943706 22001 39563 15458", "18373833 42349 59643462 530130018 49808 26170 22498", "63880570 32539 179529129 961415140 35019 27471 38586", "574620393 21281 167368543 251836755 2534 41708 25744", "459834401 30551 233233022 979601486 16789 33721 45191", "572255141 39635 714710648 443145326 31984 20462 41695", "782648143 46631 963964192 699045064 45521 43321 26555", "339980539 37143 364531493 914600931 8423 35 37686", "284327309 8095 132629781 744161709 38645 12803 29546", "349121785 46523 110341088 921376926 36158 1736 38603", "320634493 38549 42830297 955798987 1531 10841 44050", "995097052 20513 20336957 335077590 7655 18449 44873", "8532429 18483 268632558 145376089 26577 12338 37798", "331565221 25140 318333695 680687006 38015 24783 30283", "502390524 42870 524135237 823025016 31418 31885 40354", "54449300 42725 138700755 49546351 13237 37711 40293", "57337243 6159 339335165 918386024 24642 17722 12112", "270617570 46411 805816261 602182791 37903 49956 36148"}

Returns: 659441
{"25917 41090 442482782 20", "83959 18018 749757807 16", "99902 14512 976714675 19", "15266 77378 504038567 17", "17670 92162 75259135 14", "94537 50128 915736907 20", "67698 83317 906889261 20", "87571 55568 249152987 7", "13009 35768 609946278 7", "70137 20436 427778694 18", "34947 9720 266795368 13", "87097 33935 202019541 18", "26096 78675 559473951 12", "28803 27209 470593631 12", "10526 99243 291079691 8", "71162 32677 752327935 10", "84796 90564 760481136 12", "27352 76181 344541321 18", "85901 36689 396028862 17", "86975 48402 537794115 10"}

{"727843429 34417 641450053 246088583 11626 43683 1434", "235238503 9278 714481124 304352950 46791 30152 47236", "120630961 14947 123987800 733628448 36230 31503 4629", "983827550 43800 72190529 447680590 39014 29877 17564", "680503767 23991 954296985 408347195 24760 47037 35777", "975886385 7072 77837210 63641239 32701 34685 10540", "620529491 14836 129707776 741160451 29782 11927 5251", "435482363 43429 101709879 271826265 3580 16759 6854", "278608945 46635 254390770 959112712 36978 4106 26258", "831661737 1143 874412035 660064473 24566 15596 5711", "677157266 16633 944216250 150203108 31468 40377 13559", "850377602 2303 71185161 285859964 12083 45039 36228", "296082015 11797 129709434 574690959 8431 16555 3670", "717295408 20660 753779928 401473496 21802 8314 37968", "877062719 40261 637760030 406736336 6893 42632 39444", "346804713 33008 300819354 197182314 1663 4514 8629", "346030097 49552 893244857 642112111 27700 20642 3070", "33252482 37196 603123091 750547890 7855 19370 37737", "217196009 27683 66075705 94258727 34296 35734 11415", "120741188 28365 910450858 320062252 27725 20211 44565"}

Returns: 395012
{"1 147 1 1"}

{"107 107 107 2 107 2 10"}

Returns: 5

A single package of size 1 arrives on day 1. There are five queries of the form "1 1" (which have a positive answer) and five queries of the form "2 2" (negative). Note that when a query is compressed the values D, S, and Aj may be bigger than the corresponding Bj. Make sure you compute the Di and Si correctly.
{"1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1", "1 1 50000 1"}

{"1 10000 2 20000 10000 10000 10000"}

Returns: 9750
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Returns: 3009303
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Returns: 3212678
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{"18391403 101008 178959368 12311333 128897 223691 2733","17211486 89838 478632243 15363205 122676 250919 253223","2774237 175301 585669838 11093078 248996 210868 115310","4851166 223881 248295446 13734063 282158 257619 251042","15009148 237074 237687411 13200668 268419 283078 146518","9643896 161318 573121706 16350552 242740 208039 200222","16218 276340 295878396 17280255 77016 234448 251000","16447024 128088 426592246 17766124 101047 237285 94871","19425447 198113 704648951 12468432 293667 243087 68179","14470099 244994 535915256 13240776 82975 204025 201949","1554816 149353 924117557 13939844 245903 205396 252113","5750907 177719 131439386 17526787 133971 209052 294108","837539 93559 870609855 11542559 20947 260711 45616","46055 182761 189067984 10302251 245095 253170 208358","17575805 244372 26130866 13660787 70297 258414 151909","305907 96661 929412122 14007425 43023 235636 240502","5823583 82628 376288025 15746481 86798 216547 167254","5680707 233572 517293402 17232671 270450 248958 71502","12996212 295447 686724993 13893571 83502 242212 198196","1442939 122377 973783443 15465324 48261 240627 6358"}

Returns: 3066208
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{"16934087 20255 852994416 12853653 50477 223907 98237","1612672 84976 107712474 18754781 95148 254340 43546","18083491 275940 107496760 18642126 103055 291431 259215","4430298 21635 996050678 14705181 155177 202695 81439","3014112 238641 717864333 19026270 30735 254130 209891","11907839 216529 714972511 11643865 178349 214039 296479","17795752 238409 854758832 19222413 23970 276672 203635","19325736 246776 231691767 12197856 249710 229491 166667","1782970 228196 605421243 11476474 82776 292059 146613","148870 73169 751142497 15209285 285937 254900 3998","6145896 110665 503105813 18760268 45379 245013 57020","13672883 30801 159634442 15757380 269993 272056 218569","18033114 9638 463139919 11547910 126435 200384 172267","15274504 216706 449287191 12868225 158073 297090 92955","18933603 171686 462212541 12121158 7679 246266 231639","3146465 167916 122594145 17655440 265072 265465 56812","11521751 231782 293920363 18992136 144180 293711 285347","796574 191407 314211090 19406652 278228 242666 7846","3841186 215266 250641815 17348819 280127 220906 76111","1571880 108934 453849082 13049759 291210 274238 13175"}

Returns: 2604959
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{"2112923 68914 327116468 18708736 105955 234566 295948","7418531 265070 241817830 17088011 12356 293795 54129","5215854 131914 562044713 12311777 20138 227190 24137","1939107 228860 772778695 12022958 98485 239619 114355","1650641 259308 659614162 15878140 242198 278299 219786","12320965 187589 530676600 12944671 149028 249053 235854","2015079 112025 574087631 14272713 136439 210690 253314","5328497 260602 50257799 17815639 144441 289792 252918","3378148 9305 956203853 13684290 93254 283919 84362","19999001 122679 159915366 16686078 253364 237117 26264","11283037 112468 756798817 17024541 290851 241215 217993","15825300 144029 626081115 18492158 265230 202150 23392","10490659 216795 104799344 18226098 173447 204722 273678","3447121 35281 429803974 15110841 281289 244281 241970","8024016 42313 995345915 11362114 49696 255960 232764","16094946 43461 854215446 16996134 1464 235493 173217","540675 134638 435050251 18832952 141199 217671 208129","15202974 28234 577011127 10974931 59778 278357 290885","1487680 209529 178134402 16363701 24103 287636 51810","13162103 167398 920126545 17342117 153838 282439 299988"}

Returns: 3470118
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Returns: 3229242
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{"15586706 243252 901835259 17795962 252914 273247 158788","8076240 100954 105504252 16105088 129124 269120 277523","16390282 156536 459229261 19519414 214972 264454 15158","18420497 173323 799956887 10839122 279500 259304 114564","1596836 181387 375944087 15598070 105708 237662 229002","6656659 200662 464620959 12928632 140089 265293 168542","18000873 225076 250831338 15130586 132418 276377 233660","16902566 202083 435313481 15742077 32112 239372 42681","5144620 175504 105187970 12843664 128027 280326 124985","15982018 226108 308186038 16115132 283301 255857 129688","5509896 178199 475815238 19074428 108204 294463 298889","4552542 250728 403904541 12172997 119124 256637 20659","8872920 79125 908787354 19453209 139996 286244 127532","11060194 286752 14872060 10632424 148991 288383 139805","8128987 126096 262863512 18411231 205033 286180 50096","3244961 216521 642016900 17590004 114193 288682 68376","9289005 291052 324415083 13110466 124867 268536 108391","13711981 291593 719311466 12053655 71513 267892 70717","6343642 175871 236325108 15843620 148866 269141 109462","181011 130584 499387155 19676408 173271 261851 239273"}

Returns: 2596413
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Returns: 2600578
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Returns: 2147625
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Returns: 2100144
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Returns: 2976332
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Returns: 3083737
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Returns: 2985236
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Returns: 3151147
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Returns: 3054635
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Returns: 2931432
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{"14503158 286966 454715862 11326783 82797 273376 110675","14413411 138656 183695721 19442307 140646 263568 125570","507892 45883 779446150 18376523 85814 285177 180737","4365718 1877 791924568 15210593 113979 269491 233160","1112960 226994 405598313 18416129 269057 295996 95759","17609431 289418 608033563 16670569 38365 204256 174380","19224738 275794 769555086 11794990 82375 241993 103663","4299404 37907 30211549 19870320 141309 204251 140670","6666160 76832 676872293 12358510 146135 258597 1041","8552100 278157 417722866 13057270 77854 230303 177448","8850541 156111 828206137 19514049 23200 298582 141994","4991999 81418 485327744 10728461 186717 205172 200058","12186698 158521 435839783 19661647 50295 274005 203817","3037159 35721 310616488 10787699 209826 200059 22724","3404403 203078 757021084 15289562 81809 252595 157073","18366251 195219 114669999 12210299 80892 228537 56034","5822723 93284 775712933 18452354 253316 275045 80414","14358674 166402 405809962 11680118 191987 298353 132396","2565912 255228 218662227 10892730 87621 204043 41131","18437161 183735 426463010 18413084 222424 275338 210109"}

Returns: 2484556
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{"7497591 295917 440511456 14935590 205846 293361 74649","8279946 276035 423566186 10102940 294740 226524 29098","14098379 114379 604264886 13492462 51678 243896 6853","18108472 157449 810359631 17227006 180700 295209 172955","6690436 116893 363125908 15876977 70333 287831 273123","11008385 158859 612869859 10948215 47625 245953 252943","11572243 45145 858671139 15018177 292467 237898 159361","2631413 156720 483694991 13704742 190248 203281 182733","12252325 270089 986965606 13842225 299459 204191 65811","8952152 242956 148133556 15669222 88989 220081 185199","11168213 264003 403438591 10928098 197019 280348 176244","19401261 183691 187416242 18094976 131829 208588 108975","9206869 251313 120835517 19627757 24709 226508 295161","6316847 208594 214639778 15066200 189764 252671 276882","655629 211231 534257370 17099341 242155 262245 128504","5077006 225766 878489031 15269455 238569 277051 100962","3548084 249772 592079846 17419805 228270 200071 47874","17082068 200480 86204614 16737100 231177 274438 191556","8023548 64323 342971673 10973411 214273 232142 57539","2137220 223194 867044526 10211791 248494 256887 210174"}

Returns: 2845770
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Returns: 2901670
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Returns: 3032174
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Returns: 3627310
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Returns: 2618836
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Returns: 2831910
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Returns: 2663083
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Returns: 2460365
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Returns: 3350232
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Returns: 3369629
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Returns: 2094070
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Returns: 1948112
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Returns: 2895681
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Returns: 3530066
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Returns: 2610229
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Returns: 3033196
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Returns: 2735493
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Returns: 2544335
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Returns: 2443179
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Returns: 2865052
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Returns: 3093301
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Returns: 3333916
{"4281312 9 252842 2","4164000 3 201501 3","3793591 8 294345 4","3689592 1 253523 5","3544707 2 243928 6","3169917 5 201822 7","2805191 4 234299 8","2881863 5 239586 9","2494233 3 286849 10","2328368 4 232397 11","2256377 2 289947 12","2018813 7 251140 13","1818443 5 234769 14","1783348 8 237000 15","1599816 4 232384 16","1141668 8 295281 17","951670 3 279719 18","676607 5 222640 19","702115 1 202025 20","322362 7 262526 21"}

{"66606 262259 700901636 16198052 84245 269701 57651","19937061 102491 905439894 16287739 61761 209077 74959","16825950 163050 960307797 10184868 15758 278219 48893","18916504 76621 346973566 11797933 186889 203756 149041","15471421 165046 946817961 16566813 98041 296613 106165","18177543 204211 320216713 15701629 17652 216472 199442","14477274 17565 970254325 10394573 156377 235217 72764","19498604 95107 400364719 10826835 124725 268545 253998","14092666 281324 394150721 10172748 218006 239699 197821","13721556 190789 369258614 13072480 177242 265597 183127","5256139 175081 538673080 11615106 155838 294395 51625","8522020 87425 31569182 18640715 84012 269504 274215","3787978 55186 775241808 12822929 196912 296981 118953","3823852 106964 809406953 17520573 145386 212512 44817","14951539 142597 706190729 16600780 160536 214279 20010","4302852 249899 2026652 10319200 148915 253637 185457","5277070 44006 175537809 11747963 97086 221658 174506","14543851 211839 817752476 16276353 106329 280389 151128","16239235 290020 358567900 18443602 216593 262753 74836","6777490 163670 675641653 15710133 133452 214547 281317"}

Returns: 2584860

Statistics

Problem Statement for "Depot"

Problem Statement

Definition

Constraints

Examples