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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#116903#6667. Prosjekhos_lyric#16 285ms25348kbC++145.3kb2023-06-30 10:16:542024-05-31 18:34:14

Judging History

你现在查看的是最新测评结果

  • [2024-05-31 18:34:14]
  • 评测
  • 测评结果:16
  • 用时:285ms
  • 内存:25348kb
  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-30 10:16:54]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }


map<vector<Int>, pair<int, int>> cache;
pair<int, int> brute(const vector<Int> &as) {
  const int asLen = as.size();
  if (asLen <= 1) return make_pair(-2, -2);
  
  auto it = cache.find(as);
  if (it != cache.end()) return it->second;
  pair<int, int> ret(-1, -1);
  
  for (int i = 0; i < asLen; ++i) for (int j = i + 1; j < asLen; ++j) {
    if ((as[i] + as[j]) % 2 == 0) {
      auto bs = as;
      bs[i] += bs[j];
      bs[i] /= 2;
      bs.erase(bs.begin() + j);
      sort(bs.begin(), bs.end());
      const auto res = brute(bs);
      if (~res.first) {
        ret = make_pair(i, j);
        goto found;
      }
    }
  }
 found:{}
  
  return cache[as] = ret;
}


Int solveSame(int h, vector<Int> as, vector<pair<Int, Int>> &ops) {
  int n = as.size();
  for (int i = 0; i < n; ++i) {
    assert((as[i] & 1) == h);
  }
  if (n == 1) {
    return as[0];
  }
  assert(n >= 2);
  for (; n >= 3; --n) {
    Int &a = as[n - 3], &b = as[n - 2], &c = as[n - 1];
    if (false) {}
    else if ((((b + c) / 2) & 1) == h) { ops.emplace_back(b, c); b = (b + c) / 2; }
    else if ((((a + c) / 2) & 1) == h) { ops.emplace_back(a, c); a = (a + c) / 2; }
    else if ((((a + b) / 2) & 1) == h) { ops.emplace_back(a, b); a = (a + b) / 2; b = c; }
    else {
      assert(false);
    }
  }
  ops.emplace_back(as[0], as[1]);
  return (as[0] + as[1]) / 2;
}

vector<pair<Int, Int>> solve(const vector<Int> &A) {
  const int N = A.size();
  vector<Int> bss[2];
  for (int i = 0; i < N; ++i) {
    bss[A[i] & 1].push_back(A[i]);
  }
  vector<pair<Int, Int>> ops;
  for (int h = 0; h < 2; ++h) {
    if (bss[h].empty()) {
      solveSame(h ^ 1, bss[h ^ 1], ops);
      return ops;
    }
  }
  for (int h = 0; h < 2; ++h) {
    Int g = 0;
    for (const Int b : bss[h]) {
      g = __gcd(g, b - bss[h][0]);
    }
    if (g != 0 && __builtin_ctzll(g) < (int)bss[h].size()) {
      // TODO
      ops.emplace_back(-2, -2);
      return ops;
    }
  }
  return ops;
}


void judge(const vector<Int> &A, const vector<pair<Int, Int>> &ops) {
  multiset<Int> as(A.begin(), A.end());
  for (const auto &op : ops) {
    for (const Int x : {op.first, op.second}) {
      auto it = as.find(x);
      assert(it != as.end());
      as.erase(it);
    }
    assert((op.first + op.second) % 2 == 0);
    as.insert((op.first + op.second) / 2);
  }
  assert(as.size() == 1);
}

void test(const vector<Int> &as) {
  const int n = as.size();
  const auto res = brute(as);
  set<Int> ss[2];
  for (int i = 0; i < n; ++i) {
    ss[as[i] & 1].insert(as[i]);
  }
  Int gs[2] = {};
  for (int h = 0; h < 2; ++h) {
    for (const Int a : ss[h]) {
      gs[h] = __gcd(gs[h], a - *ss[h].begin());
    }
  }
  
  if (!~res.first) {
    // cout << as << ": " << res << " " << gs[0] << " " << gs[1] << endl;
  }
  bool good = false;
  for (int h = 0; h < 2; ++h) {
    const int sz = ss[h].size();
    good = good || (sz == 0 || gs[h] % (1 << sz) != 0);
  }
  if (good) {
    if (!~res.first) {
      cerr << as << ": " << res << " " << gs[0] << " " << gs[1] << endl;
    }
    assert(~res.first);
  }
  
  if (ss[0].empty() || ss[1].empty()) {
    const auto slv = solve(as);
    assert(!as.empty());
    judge(as, slv);
  }
}
void dfs(int n, int limA, int i, vector<Int> &as) {
  if (i == n) {
    test(as);
  } else {
    for (as[i] = i ? as[i - 1] : 0; as[i] < limA; ++as[i]) {
      dfs(n, limA, i + 1, as);
    }
  }
}
void stress() {
  for (int n = 2; n <= 11; ++n) {
    vector<Int> as(n);
    dfs(n, 17, 0, as);
    cerr << "DONE n = " << n << endl;
  }
}

int main() {
  // stress(); return 0;
  
  for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
    int N;
    scanf("%d", &N);
    vector<Int> A(N);
    for (int i = 0; i < N; ++i) {
      scanf("%lld", &A[i]);
    }
    sort(A.begin(), A.end());
    
    const auto ans = solve(A);
    if (!ans.empty()) {
      for (const auto &op : ans) {
        printf("%lld %lld\n", op.first, op.second);
      }
    } else {
      puts("-1");
    }
  }
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

详细

Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 0
Wrong Answer
time: 1ms
memory: 3804kb

input:

99
4
739880851158065302 19206582949872932 883064254701115295 222072661880779376
7
148399819461615003 209088712310207988 53191076581680214 445068618251612752 230505279594622109 115754892157516718 804173775829453588
2
77979357045500669 41693388829622019
3
341612949433488278 609808714829036935 19994167...

output:

-2 -2
-2 -2
41693388829622019 77979357045500669
-2 -2
-2 -2
-1
-1
-2 -2
153422622425090619 677471552430420695
-1
-2 -2
-1
-1
-2 -2
3994747905204313 884562752552611953
-2 -2
-1
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
841634384550345462 880394701391566042
306233065082806734 861014542970955752
-2 -2
-1
-2 -2
-1
...

result:

wrong answer Integer -2 violates the range [0, 10^18] (test case 1)

Subtask #2:

score: 0
Wrong Answer

Test #16:

score: 0
Wrong Answer
time: 0ms
memory: 3772kb

input:

100
3
3 3 2
3
4 1 1
4
1 3 4 4
6
4 4 2 3 1 2
4
0 2 1 4
3
0 2 0
7
3 3 1 1 3 4 0
2
0 4
4
1 4 2 3
7
4 0 0 3 2 3 4
4
4 2 0 3
7
0 2 2 1 4 2 4
7
3 0 3 1 2 0 3
4
4 3 1 4
6
2 3 0 1 3 4
5
1 4 0 3 4
5
4 2 0 4 2
3
0 1 2
6
4 1 4 2 0 4
7
4 2 4 3 1 3 1
4
1 4 4 0
2
1 1
6
0 3 3 0 0 4
7
4 3 0 3 3 3 4
4
4 1 1 3
6
2 0 ...

output:

-1
-1
-2 -2
-2 -2
-2 -2
0 0
0 2
-2 -2
0 4
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
4 4
2 2
0 4
2 2
-2 -2
-2 -2
-2 -2
-2 -2
1 1
-2 -2
-2 -2
-2 -2
-2 -2
3 3
-2 -2
-1
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
4 4
0 4
0 2
-2 -2
-1
-2 -2
-2 -2
-1
-2 -2
-2 -2
4 4
0 4
2 2
-2 -2
-2 -2
-2 -2
-2 -2
-1
-2 -2
...

result:

wrong answer Integer -2 violates the range [0, 10^18] (test case 3)

Subtask #3:

score: 16
Accepted

Test #34:

score: 16
Accepted
time: 155ms
memory: 3796kb

input:

100000
5
846784256447769304 457696478728961702 128469521648960690 597630796847754190 104256763714529164
5
658897822238868978 472135077337628566 399538027669313322 622703684108675696 425723088635325654
5
917704960887390986 140817562615382054 877934664521057998 782212806618666818 616380973421914538
8
...

output:

457696478728961702 597630796847754190
128469521648960690 527663637788357946
104256763714529164 846784256447769304
475520510081149234 328066579718659318
472135077337628566 658897822238868978
565516449788248772 622703684108675696
425723088635325654 594110066948462234
399538027669313322 509916577791893...

result:

ok correct (100000 test cases)

Test #35:

score: 0
Accepted
time: 155ms
memory: 4060kb

input:

100000
4
132941437397264810 143141501854884272 958712444844113692 341497234016264540
7
923004266892618172 15365813785503270 930609521602302292 819335542601433618 213670074288711286 150311691204302148 244405681344585926
5
371893080714371800 575829750571342010 292988012239447120 115093373296591180 268...

output:

341497234016264540 958712444844113692
143141501854884272 650104839430189116
132941437397264810 396623170642536694
923004266892618172 930609521602302292
244405681344585926 819335542601433618
531870611973009772 926806894247460232
213670074288711286 729338753110235002
150311691204302148 471504413699473...

result:

ok correct (100000 test cases)

Test #36:

score: 0
Accepted
time: 150ms
memory: 3808kb

input:

100000
4
928198344825292264 690070772109811286 244045206839989604 561025252182682906
3
627239866615848210 42470017740412280 54251562555326842
3
490057757292451598 818062735467254804 348318035919019310
2
551686081736618768 194488231774246450
3
112852023970360962 332810104058707034 451110399052627062
...

output:

561025252182682906 690070772109811286
625548012146247096 928198344825292264
244045206839989604 776873178485769680
54251562555326842 627239866615848210
42470017740412280 340745714585587526
348318035919019310 490057757292451598
419187896605735454 818062735467254804
194488231774246450 55168608173661876...

result:

ok correct (100000 test cases)

Test #37:

score: 0
Accepted
time: 216ms
memory: 3812kb

input:

50000
15
970453612553526824 403854393807928174 722892131244078370 35115189723455662 375191889860000444 915405723947874872 635574780184696680 264400470199418708 859039596531178468 27938184881043946 553805664139227226 876314307095280030 571028682295683456 30435765695090076 81051167961127742
20
7987413...

output:

915405723947874872 970453612553526824
859039596531178468 942929668250700848
900984632390939658 876314307095280030
635574780184696680 888649469743109844
762112124963903262 722892131244078370
571028682295683456 742502128103990816
403854393807928174 553805664139227226
478830028973577700 656765405199837...

result:

ok correct (50000 test cases)

Test #38:

score: 0
Accepted
time: 209ms
memory: 4060kb

input:

50000
20
998788559176849620 191593882411529926 342711646561735406 56435783243285828 213144199738872896 552932543009462260 862655508602678778 197769932466201968 649107231900330578 606332158266321414 679519095246181928 69228654018660218 907522706303602556 706594708190768848 317996892998797510 98299001...

output:

982990013470682716 998788559176849620
907522706303602556 990889286323766168
862655508602678778 949205996313684362
706594708190768848 801974222113409124
754284465152088986 905930752458181570
649107231900330578 830107608805135278
739607420352732928 679519095246181928
552932543009462260 709563257799457...

result:

ok correct (50000 test cases)

Test #39:

score: 0
Accepted
time: 213ms
memory: 3800kb

input:

50000
19
687533614023914694 738663892302361454 628044408557611320 475365328934162610 242048409095362442 254414508714647088 415287407545536222 333427085181162020 691789987581261114 501496830456417768 370865072857248388 610878478005084624 460491699469405256 995621599317911412 72184531803437802 5221300...

output:

691789987581261114 738663892302361454
715226939941811284 995621599317911412
628044408557611320 855424269629861348
741734339093736334 687533614023914694
522130070969414520 610878478005084624
501496830456417768 566504274487249572
534000552471833670 714633976558825514
473640262986677202 475365328934162...

result:

ok correct (50000 test cases)

Test #40:

score: 0
Accepted
time: 194ms
memory: 4096kb

input:

30000
25
701453932981408346 465306500019836282 792774089369512740 928134668660137906 489548012753296822 563069662510759842 456553328586506700 752651620972947846 610563120623014800 946872198162810216 382124190056540228 528408240467204940 156080508230960224 755279683495886594 353003950140523154 726814...

output:

792774089369512740 946872198162810216
869823143766161478 928134668660137906
759546580482469476 898978906213149692
752651620972947846 755279683495886594
753965652234417220 829262743347809584
726814281386478566 791614197791113402
691288776835558270 701453932981408346
696371354908483308 759214239588795...

result:

ok correct (30000 test cases)

Test #41:

score: 0
Accepted
time: 182ms
memory: 4100kb

input:

30000
24
802553849623129746 211707666543464912 78106851365388652 41150834245659428 824295231323480318 65220471583082028 504011063830422278 582465764474213950 653316240753155704 254391730000013712 73470169815090336 70058062306145696 320805890715812130 762434076887201766 107191591092647094 66623182252...

output:

824295231323480318 973662733681459690
801262516027000718 802553849623129746
801908182825065232 898978982502470004
762434076887201766 850443582663767618
713862378171374300 806438829775484692
684143755784659968 760150603973429496
653316240753155704 722147179879044732
582465764474213950 687731710316100...

result:

ok correct (30000 test cases)

Test #42:

score: 0
Accepted
time: 211ms
memory: 3820kb

input:

30000
27
457692759396051910 105542225399435134 28952855744712754 551775949854678384 243201017518706110 830727952675976422 770508119165800012 202072001288194376 842102259870000526 184524967708115324 636362069740656520 654459612358466674 183209892432401444 100513548134942846 72707763558771580 42597951...

output:

938142428437837892 968793307366073360
932151312699294980 935240383379985812
859029090720613882 953467867901955626
842102259870000526 906248479311284754
874175369590642640 933695848039640396
830727952675976422 903935608815141518
654459612358466674 867331780745558970
636362069740656520 770508119165800...

result:

ok correct (30000 test cases)

Test #43:

score: 0
Accepted
time: 278ms
memory: 25348kb

input:

100
365633
240280625535601202 938026129049958522 147115906397155306 652580989323075650 725975096118295602 205776298062652394 601103849421971138 331987681752388762 840580362429635958 835259996207496842 119358021292888398 319502650126227206 963133797479057582 879470558738716974 741484002023142690 3370...

output:

999994459947143802 999998314036225950
999988952471980734 999993322572884726
999979646944405746 999991137522432730
999978113138479830 999985392233419238
999974952944140930 999981752685949534
999978352815045232 999996386991684876
999973946008257674 999987369903365054
999965491644962478 999973746139480...

result:

ok correct (100 test cases)

Test #44:

score: 0
Accepted
time: 285ms
memory: 22808kb

input:

100
468798
784219641558971418 868193736931466770 709669653094040434 820342537947112058 551143489403660526 267279653811163658 370522601251248390 368960240455457934 377406818992348662 446571520515917398 203417725700526758 781465163407686018 793863659816666930 689102809204233742 460833182899194594 8845...

output:

999997480227244470 999998051535839950
999994057763429462 999997765881542210
999988131520223090 999989314391800150
999988722956011620 999995911822485836
999985194878496546 999987712064706606
999986453471601576 999992317389248728
999981059853276314 999983479480313094
999982269666794704 999989385430425...

result:

ok correct (100 test cases)

Test #45:

score: 0
Accepted
time: 283ms
memory: 19268kb

input:

100
335003
576606818757903242 39138102231712338 101565358810296722 500967049719563958 60093483316193590 435418544638688670 883896893287765898 482015906798694930 208166390296394766 603169642587608970 697598340090102702 37116072285605102 692409274069565602 359039270687175358 598214522887322026 9588135...

output:

999988200378028302 999998172490495542
999986031944739378 999993186434261922
999985235589577006 999989609189500650
999974808021380542 999980006688674814
999974031844918374 999977407355027678
999971393566384006 999975719599973026
999973556583178516 999987422389538828
999967718126434994 999969994107613...

result:

ok correct (100 test cases)

Subtask #4:

score: 0
Wrong Answer

Test #46:

score: 0
Wrong Answer
time: 152ms
memory: 10192kb

input:

100
211957
911918942087402387 344230223346742784 16289402153237664 528890583619159010 886281719684850237 865484734102017297 321851390502278959 754268375474197153 237414161302130571 135637002716682378 824412491959977735 162505521049217610 246319278060116103 666703181591704279 650875500699154233 96397...

output:

-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-2 -2
-1
-2 -2
-2 -2
-1
-2 -2
-2 -2
-1
-2 -2
742536530921432840 74...

result:

wrong answer Integer -2 violates the range [0, 10^18] (test case 1)