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Submission #535516

# Submission time Handle Problem Language Result Execution time Memory
535516 2022-03-10T12:20:15 Z Vladth11 Boat (APIO16_boat) C++14
9 / 100
 2000 ms 6060 KB 
#include <bits/stdc++.h>
#define debug(x) cerr << #x << " " << x << "\n"
#define debugs(x) cerr << #x << " " << x << " "

using namespace std;
typedef long long ll;
typedef pair <ll, ll> pii;
typedef pair <long double, pii> muchie;

const ll NMAX = 1001;
const ll VMAX = 1000001;
const ll INF = (1LL << 60);
const ll MOD = 1000000007;
const ll BLOCK = 1000000;
const ll nr_of_bits = 21;

vector <pii> polls;

pii v[NMAX * 2];
pii intervals[NMAX * 2];
ll m;

ll precalc[] = {1, 641102369, 578095319, 5832229, 259081142, 974067448, 316220877, 690120224, 251368199, 980250487, 682498929, 134623568, 95936601, 933097914, 167332441, 598816162, 336060741, 248744620, 626497524, 288843364, 491101308, 245341950, 565768255, 246899319, 968999, 586350670, 638587686, 881746146, 19426633, 850500036, 76479948, 268124147, 842267748, 886294336, 485348706, 463847391, 544075857, 898187927, 798967520, 82926604, 723816384, 156530778, 721996174, 299085602, 323604647, 172827403, 398699886, 530389102, 294587621, 813805606, 67347853, 497478507, 196447201, 722054885, 228338256, 407719831, 762479457, 746536789, 811667359, 778773518, 27368307, 438371670, 59469516, 5974669, 766196482, 606322308, 86609485, 889750731, 340941507, 371263376, 625544428, 788878910, 808412394, 996952918, 585237443, 1669644, 361786913, 480748381, 595143852, 837229828, 199888908, 526807168, 579691190, 145404005, 459188207, 534491822, 439729802, 840398449, 899297830, 235861787, 888050723, 656116726, 736550105, 440902696, 85990869, 884343068, 56305184, 973478770, 168891766, 804805577, 927880474, 876297919, 934814019, 676405347, 567277637, 112249297, 44930135, 39417871, 47401357, 108819476, 281863274, 60168088, 692636218, 432775082, 14235602, 770511792, 400295761, 697066277, 421835306, 220108638, 661224977, 261799937, 168203998, 802214249, 544064410, 935080803, 583967898, 211768084, 751231582, 972424306, 623534362, 335160196, 243276029, 554749550, 60050552, 797848181, 395891998, 172428290, 159554990, 887420150, 970055531, 250388809, 487998999, 856259313, 82104855, 232253360, 513365505, 244109365, 1559745, 695345956, 261384175, 849009131, 323214113, 747664143, 444090941, 659224434, 80729842, 570033864, 664989237, 827348878, 195888993, 576798521, 457882808, 731551699, 212938473, 509096183, 827544702, 678320208, 677711203, 289752035, 66404266, 555972231, 195290384, 97136305, 349551356, 785113347, 83489485, 66247239, 52167191, 307390891, 547665832, 143066173, 350016754, 917404120, 296269301, 996122673, 23015220, 602139210, 748566338, 187348575, 109838563, 574053420, 105574531, 304173654, 542432219, 34538816, 325636655, 437843114, 630621321, 26853683, 933245637, 616368450, 238971581, 511371690, 557301633, 911398531, 848952161, 958992544, 925152039, 914456118, 724691727, 636817583, 238087006, 946237212, 910291942, 114985663, 492237273, 450387329, 834860913, 763017204, 368925948, 475812562, 740594930, 45060610, 806047532, 464456846, 172115341, 75307702, 116261993, 562519302, 268838846, 173784895, 243624360, 61570384, 481661251, 938269070, 95182730, 91068149, 115435332, 495022305, 136026497, 506496856, 710729672, 113570024, 366384665, 564758715, 270239666, 277118392, 79874094, 702807165, 112390913, 730341625, 103056890, 677948390, 339464594, 167240465, 108312174, 839079953, 479334442, 271788964, 135498044, 277717575, 591048681, 811637561, 353339603, 889410460, 839849206, 192345193, 736265527, 316439118, 217544623, 788132977, 618898635, 183011467, 380858207, 996097969, 898554793, 335353644, 54062950, 611251733, 419363534, 965429853, 160398980, 151319402, 990918946, 607730875, 450718279, 173539388, 648991369, 970937898, 500780548, 780122909, 39052406, 276894233, 460373282, 651081062, 461415770, 358700839, 643638805, 560006119, 668123525, 686692315, 673464765, 957633609, 199866123, 563432246, 841799766, 385330357, 504962686, 954061253, 128487469, 685707545, 299172297, 717975101, 577786541, 318951960, 773206631, 306832604, 204355779, 573592106, 30977140, 450398100, 363172638, 258379324, 472935553, 93940075, 587220627, 776264326, 793270300, 291733496, 522049725, 579995261, 335416359, 142946099, 472012302, 559947225, 332139472, 499377092, 464599136, 164752359, 309058615, 86117128, 580204973, 563781682, 954840109, 624577416, 895609896, 888287558, 836813268, 926036911, 386027524, 184419613, 724205533, 403351886, 715247054, 716986954, 830567832, 383388563, 68409439, 6734065, 189239124, 68322490, 943653305, 405755338, 811056092, 179518046, 825132993, 343807435, 985084650, 868553027, 148528617, 160684257, 882148737, 591915968, 701445829, 529726489, 302177126, 974886682, 241107368, 798830099, 940567523, 11633075, 325334066, 346091869, 115312728, 473718967, 218129285, 878471898, 180002392, 699739374, 917084264, 856859395, 435327356, 808651347, 421623838, 105419548, 59883031, 322487421, 79716267, 715317963, 429277690, 398078032, 316486674, 384843585, 940338439, 937409008, 940524812, 947549662, 833550543, 593524514, 996164327, 987314628, 697611981, 636177449, 274192146, 418537348, 925347821, 952831975, 893732627, 1277567, 358655417, 141866945, 581830879, 987597705, 347046911, 775305697, 125354499, 951540811, 247662371, 343043237, 568392357, 997474832, 209244402, 380480118, 149586983, 392838702, 309134554, 990779998, 263053337, 325362513, 780072518, 551028176, 990826116, 989944961, 155569943, 596737944, 711553356, 268844715, 451373308, 379404150, 462639908, 961812918, 654611901, 382776490, 41815820, 843321396, 675258797, 845583555, 934281721, 741114145, 275105629, 666247477, 325912072, 526131620, 252551589, 432030917, 554917439, 818036959, 754363835, 795190182, 909210595, 278704903, 719566487, 628514947, 424989675, 321685608, 50590510, 832069712, 198768464, 702004730, 99199382, 707469729, 747407118, 302020341, 497196934, 5003231, 726997875, 382617671, 296229203, 183888367, 703397904, 552133875, 732868367, 350095207, 26031303, 863250534, 216665960, 561745549, 352946234, 784139777, 733333339, 503105966, 459878625, 803187381, 16634739, 180898306, 68718097, 985594252, 404206040, 749724532, 97830135, 611751357, 31131935, 662741752, 864326453, 864869025, 167831173, 559214642, 718498895, 91352335, 608823837, 473379392, 385388084, 152267158, 681756977, 46819124, 313132653, 56547945, 442795120, 796616594, 256141983, 152028387, 636578562, 385377759, 553033642, 491415383, 919273670, 996049638, 326686486, 160150665, 141827977, 540818053, 693305776, 593938674, 186576440, 688809790, 565456578, 749296077, 519397500, 551096742, 696628828, 775025061, 370732451, 164246193, 915265013, 457469634, 923043932, 912368644, 777901604, 464118005, 637939935, 956856710, 490676632, 453019482, 462528877, 502297454, 798895521, 100498586, 699767918, 849974789, 811575797, 438952959, 606870929, 907720182, 179111720, 48053248, 508038818, 811944661, 752550134, 401382061, 848924691, 764368449, 34629406, 529840945, 435904287, 26011548, 208184231, 446477394, 206330671, 366033520, 131772368, 185646898, 648711554, 472759660, 523696723, 271198437, 25058942, 859369491, 817928963, 330711333, 724464507, 437605233, 701453022, 626663115, 281230685, 510650790, 596949867, 295726547, 303076380, 465070856, 272814771, 538771609, 48824684, 951279549, 939889684, 564188856, 48527183, 201307702, 484458461, 861754542, 326159309, 181594759, 668422905, 286273596, 965656187, 44135644, 359960756, 936229527, 407934361, 267193060, 456152084, 459116722, 124804049, 262322489, 920251227, 816929577, 483924582, 151834896, 167087470, 490222511, 903466878, 361583925, 368114731, 339383292, 388728584, 218107212, 249153339, 909458706, 322908524, 202649964, 92255682, 573074791, 15570863, 94331513, 744158074, 196345098, 334326205, 9416035, 98349682, 882121662, 769795511, 231988936, 888146074, 137603545, 582627184, 407518072, 919419361, 909433461, 986708498, 310317874, 373745190, 263645931, 256853930, 876379959, 702823274, 147050765, 308186532, 175504139, 180350107, 797736554, 606241871, 384547635, 273712630, 586444655, 682189174, 666493603, 946867127, 819114541, 502371023, 261970285, 825871994, 126925175, 701506133, 314738056, 341779962, 561011609, 815463367, 46765164, 49187570, 188054995, 957939114, 64814326, 933376898, 329837066, 338121343, 765215899, 869630152, 978119194, 632627667, 975266085, 435887178, 282092463, 129621197, 758245605, 827722926, 201339230, 918513230, 322096036, 547838438, 985546115, 852304035, 593090119, 689189630, 555842733, 567033437, 469928208, 212842957, 117842065, 404149413, 155133422, 663307737, 208761293, 206282795, 717946122, 488906585, 414236650, 280700600, 962670136, 534279149, 214569244, 375297772, 811053196, 922377372, 289594327, 219932130, 211487466, 701050258, 398782410, 863002719, 27236531, 217598709, 375472836, 810551911, 178598958, 247844667, 676526196, 812283640, 863066876, 857241854, 113917835, 624148346, 726089763, 564827277, 826300950, 478982047, 439411911, 454039189, 633292726, 48562889, 802100365, 671734977, 945204804, 508831870, 398781902, 897162044, 644050694, 892168027, 828883117, 277714559, 713448377, 624500515, 590098114, 808691930, 514359662, 895205045, 715264908, 628829100, 484492064, 919717789, 513196123, 748510389, 403652653, 574455974, 77123823, 172096141, 819801784, 581418893, 15655126, 15391652, 875641535, 203191898, 264582598, 880691101, 907800444, 986598821, 340030191, 264688936, 369832433, 785804644, 842065079, 423951674, 663560047, 696623384, 496709826, 161960209, 331910086, 541120825, 951524114, 841656666, 162683802, 629786193, 190395535, 269571439, 832671304, 76770272, 341080135, 421943723, 494210290, 751040886, 317076664, 672850561, 72482816, 493689107, 135625240, 100228913, 684748812, 639655136, 906233141, 929893103, 277813439, 814362881, 562608724, 406024012, 885537778, 10065330, 60625018, 983737173, 60517502, 551060742, 804930491, 823845496, 727416538, 946421040, 678171399, 842203531, 175638827, 894247956, 538609927, 885362182, 946464959, 116667533, 749816133, 241427979, 871117927, 281804989, 163928347, 563796647, 640266394, 774625892, 59342705, 256473217, 674115061, 918860977, 322633051, 753513874, 393556719, 304644842, 767372800, 161362528, 754787150, 627655552, 677395736, 799289297, 846650652, 816701166, 687265514, 787113234, 358757251, 701220427, 607715125, 245795606, 600624983, 10475577, 728620948, 759404319, 36292292, 491466901, 22556579, 114495791, 647630109, 586445753, 482254337, 718623833, 763514207, 66547751, 953634340, 351472920, 308474522, 494166907, 634359666, 172114298, 865440961, 364380585, 921648059, 965683742, 260466949, 117483873, 962540888, 237120480, 620531822, 193781724, 213092254, 107141741, 602742426, 793307102, 756154604, 236455213, 362928234, 14162538, 753042874, 778983779, 25977209, 49389215, 698308420, 859637374, 49031023, 713258160, 737331920, 923333660, 804861409, 83868974, 682873215, 217298111, 883278906, 176966527, 954913, 105359006, 390019735, 10430738, 706334445, 315103615, 567473423, 708233401, 48160594, 946149627, 346966053, 281329488, 462880311, 31503476, 185438078, 965785236, 992656683, 916291845, 881482632, 899946391, 321900901, 512634493, 303338827, 121000338, 967284733, 492741665, 152233223, 165393390, 680128316, 917041303, 532702135, 741626808, 496442755, 536841269, 131384366, 377329025, 301196854, 859917803, 676511002, 373451745, 847645126, 823495900, 576368335, 73146164, 954958912, 847549272, 241289571, 646654592, 216046746, 205951465, 3258987, 780882948, 822439091, 598245292, 869544707, 698611116};

unordered_map <ll, ll> _fact;

ll lgput(ll n, ll p) {
    ll r = 1;
    while(p) {
        if(p % 2) {
            r *= n;
            r %= MOD;
        }
        n *= n;
        n %= MOD;
        p /= 2;
    }
    return r;
}

ll invmod(ll x) {
    return lgput(x, MOD - 2);
}

ll fact(ll x) {
    if(_fact.find(x) != _fact.end()) {
        return _fact[x];
    }
    ll r = precalc[x / BLOCK];
    for(ll i = x / BLOCK * BLOCK + 1; i <= x; i++) {
        r *= i;
        r %= MOD;
    }
    return _fact[x] = r;
}

ll comb(ll a, ll b) {
    return (fact(a) * invmod(fact(b))) % MOD * invmod(fact(a - b)) % MOD;
}

ll dp[2001][4001];

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    ll n, i, j;
    cin >> n;
    for(i = 1; i <= n; i++) {
        cin >> v[i].first >> v[i].second;
        polls.push_back({v[i].first, 0});
        polls.push_back({v[i].second, 1});
    }
    sort(polls.begin(), polls.end());
    ll open = 0;
    for(i = 0; i < polls.size(); i++) {
        if(polls[i].second == 0)
            open++;
        else
            open--;
        if(polls[i].second == 0 && intervals[m].first != polls[i].first) {
            if(open == 1)
                intervals[++m] = {polls[i].first, 0};
            else {
                intervals[m].second = polls[i].first - 1;
                intervals[++m] = {polls[i].first, 0};
            }
        } else if(polls[i].second == 1) {
            intervals[m].second = polls[i].first;
            if(open > 0) {
                intervals[++m] = {polls[i].first + 1, 0}; /// grija cu +1, dar oricum astea care incep sunt primeel
            }
        }
    }
    for(i = 1; i <= m; i++) {
        dp[0][i] = 1;
    }
    dp[0][0] = 1;
    ll maxi = 0;
    for(i = 1; i <= n; i++) {
        for(ll k = 1; k <= m; k++) {
            ll lung = intervals[k].second - intervals[k].first + 1;
            dp[i][k] = dp[i][k - 1]; /// nu facem nimic cu k-ul asta
            if(dp[i][k] >= MOD)
                dp[i][k] -= MOD;
            ll sum = 0;
            for(ll j = i; j >= 1; j--) {
                if((i - j + 1 <= lung) && (v[j].first <= intervals[k].first && intervals[k].second <= v[j].second)) {
                    /// o secventa continuea j .. i  va llra aici, nu punem break ca sa luam si variantele cand unele lipsesc
                    ll cnt = (i - j + 1);
                    sum += comb(lung, cnt);
                    maxi = max(maxi, lung);
                    sum %= MOD;
                }
                dp[i][k] += (dp[j - 1][k - 1] * sum) % MOD;
                if(dp[i][k] >= MOD)
                    dp[i][k] -= MOD;
            }
        }
    }
    ll sol = 0;
    for(i =  1; i <= n; i++) {
        sol += dp[i][m];
        sol %= MOD;
    }
    cout << sol;
    return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:76:18: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   76 |     for(i = 0; i < polls.size(); i++) {
      |                ~~^~~~~~~~~~~~~~
boat.cpp:67:14: warning: unused variable 'j' [-Wunused-variable]
   67 |     ll n, i, j;
      |              ^

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 249 ms 4480 KB Output is correct
2 Correct 284 ms 4448 KB Output is correct
3 Correct 260 ms 4360 KB Output is correct
4 Correct 317 ms 4348 KB Output is correct
5 Correct 244 ms 4244 KB Output is correct
6 Correct 254 ms 4280 KB Output is correct
7 Correct 260 ms 4348 KB Output is correct
8 Correct 247 ms 4412 KB Output is correct
9 Correct 300 ms 4336 KB Output is correct
10 Correct 242 ms 4344 KB Output is correct
11 Correct 252 ms 4344 KB Output is correct
12 Correct 281 ms 4280 KB Output is correct
13 Correct 249 ms 4424 KB Output is correct
14 Correct 256 ms 4272 KB Output is correct
15 Correct 280 ms 4340 KB Output is correct
16 Correct 269 ms 4300 KB Output is correct
17 Correct 277 ms 4300 KB Output is correct
18 Correct 264 ms 4340 KB Output is correct
19 Correct 281 ms 4244 KB Output is correct
20 Correct 249 ms 4448 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 249 ms 4480 KB Output is correct
2 Correct 284 ms 4448 KB Output is correct
3 Correct 260 ms 4360 KB Output is correct
4 Correct 317 ms 4348 KB Output is correct
5 Correct 244 ms 4244 KB Output is correct
6 Correct 254 ms 4280 KB Output is correct
7 Correct 260 ms 4348 KB Output is correct
8 Correct 247 ms 4412 KB Output is correct
9 Correct 300 ms 4336 KB Output is correct
10 Correct 242 ms 4344 KB Output is correct
11 Correct 252 ms 4344 KB Output is correct
12 Correct 281 ms 4280 KB Output is correct
13 Correct 249 ms 4424 KB Output is correct
14 Correct 256 ms 4272 KB Output is correct
15 Correct 280 ms 4340 KB Output is correct
16 Correct 269 ms 4300 KB Output is correct
17 Correct 277 ms 4300 KB Output is correct
18 Correct 264 ms 4340 KB Output is correct
19 Correct 281 ms 4244 KB Output is correct
20 Correct 249 ms 4448 KB Output is correct
21 Incorrect 766 ms 6060 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2035 ms 508 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 249 ms 4480 KB Output is correct
2 Correct 284 ms 4448 KB Output is correct
3 Correct 260 ms 4360 KB Output is correct
4 Correct 317 ms 4348 KB Output is correct
5 Correct 244 ms 4244 KB Output is correct
6 Correct 254 ms 4280 KB Output is correct
7 Correct 260 ms 4348 KB Output is correct
8 Correct 247 ms 4412 KB Output is correct
9 Correct 300 ms 4336 KB Output is correct
10 Correct 242 ms 4344 KB Output is correct
11 Correct 252 ms 4344 KB Output is correct
12 Correct 281 ms 4280 KB Output is correct
13 Correct 249 ms 4424 KB Output is correct
14 Correct 256 ms 4272 KB Output is correct
15 Correct 280 ms 4340 KB Output is correct
16 Correct 269 ms 4300 KB Output is correct
17 Correct 277 ms 4300 KB Output is correct
18 Correct 264 ms 4340 KB Output is correct
19 Correct 281 ms 4244 KB Output is correct
20 Correct 249 ms 4448 KB Output is correct
21 Incorrect 766 ms 6060 KB Output isn't correct
22 Halted 0 ms 0 KB -