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Submission #535512

# Submission time Handle Problem Language Result Execution time Memory
535512 2022-03-10T12:16:50 Z Vladth11 Boat (APIO16_boat) C++14
9 / 100
 2000 ms 6084 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 = 501;
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[501][2001];

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 235 ms 4324 KB Output is correct
2 Correct 238 ms 4276 KB Output is correct
3 Correct 243 ms 4396 KB Output is correct
4 Correct 251 ms 4336 KB Output is correct
5 Correct 275 ms 4344 KB Output is correct
6 Correct 262 ms 4236 KB Output is correct
7 Correct 250 ms 4248 KB Output is correct
8 Correct 251 ms 4320 KB Output is correct
9 Correct 264 ms 4324 KB Output is correct
10 Correct 261 ms 4268 KB Output is correct
11 Correct 259 ms 4236 KB Output is correct
12 Correct 253 ms 4248 KB Output is correct
13 Correct 261 ms 4224 KB Output is correct
14 Correct 260 ms 4428 KB Output is correct
15 Correct 260 ms 4352 KB Output is correct
16 Correct 249 ms 4280 KB Output is correct
17 Correct 300 ms 4296 KB Output is correct
18 Correct 261 ms 4300 KB Output is correct
19 Correct 266 ms 4272 KB Output is correct
20 Correct 246 ms 4312 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 235 ms 4324 KB Output is correct
2 Correct 238 ms 4276 KB Output is correct
3 Correct 243 ms 4396 KB Output is correct
4 Correct 251 ms 4336 KB Output is correct
5 Correct 275 ms 4344 KB Output is correct
6 Correct 262 ms 4236 KB Output is correct
7 Correct 250 ms 4248 KB Output is correct
8 Correct 251 ms 4320 KB Output is correct
9 Correct 264 ms 4324 KB Output is correct
10 Correct 261 ms 4268 KB Output is correct
11 Correct 259 ms 4236 KB Output is correct
12 Correct 253 ms 4248 KB Output is correct
13 Correct 261 ms 4224 KB Output is correct
14 Correct 260 ms 4428 KB Output is correct
15 Correct 260 ms 4352 KB Output is correct
16 Correct 249 ms 4280 KB Output is correct
17 Correct 300 ms 4296 KB Output is correct
18 Correct 261 ms 4300 KB Output is correct
19 Correct 266 ms 4272 KB Output is correct
20 Correct 246 ms 4312 KB Output is correct
21 Incorrect 719 ms 6084 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 2090 ms 484 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 235 ms 4324 KB Output is correct
2 Correct 238 ms 4276 KB Output is correct
3 Correct 243 ms 4396 KB Output is correct
4 Correct 251 ms 4336 KB Output is correct
5 Correct 275 ms 4344 KB Output is correct
6 Correct 262 ms 4236 KB Output is correct
7 Correct 250 ms 4248 KB Output is correct
8 Correct 251 ms 4320 KB Output is correct
9 Correct 264 ms 4324 KB Output is correct
10 Correct 261 ms 4268 KB Output is correct
11 Correct 259 ms 4236 KB Output is correct
12 Correct 253 ms 4248 KB Output is correct
13 Correct 261 ms 4224 KB Output is correct
14 Correct 260 ms 4428 KB Output is correct
15 Correct 260 ms 4352 KB Output is correct
16 Correct 249 ms 4280 KB Output is correct
17 Correct 300 ms 4296 KB Output is correct
18 Correct 261 ms 4300 KB Output is correct
19 Correct 266 ms 4272 KB Output is correct
20 Correct 246 ms 4312 KB Output is correct
21 Incorrect 719 ms 6084 KB Output isn't correct
22 Halted 0 ms 0 KB -