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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#115777#6630. Triangle Collectionhos_lyric0 2ms3752kbC++144.1kb2023-06-27 03:11:572023-06-27 03:12:00

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-27 03:12:00]
  • 评测
  • 测评结果:0
  • 用时:2ms
  • 内存:3752kb
  • [2023-06-27 03:11:57]
  • 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; }


int N, Q;
vector<Int> C;

Int brute() {
  auto check = [&](Int tar) -> bool {
    vector<Int> one(N + 1), two(N + 1);
    {
      Int lot = tar;
      for (int i = N; i >= 1; --i) {
        const Int t = min(C[i] / 2, lot);
        lot -= t;
        one[i] = C[i] - 2 * t;
        two[i] = t;
      }
    }
    int i = 1;
    for (int j = 1; j <= N; ++j) {
      for (; two[j] > 0; ) {
        const int limI = min(2 * j - 1, N);
        if (i > limI) {
          return false;
        } else if (one[i] == 0) {
          ++i;
        } else {
          const Int t = min(one[i], two[j]);
          one[i] -= t;
          two[j] -= t;
        }
      }
    }
    return true;
  };
  Int lo = 0, hi = 0;
  for (int i = 1; i <= N; ++i) {
    hi += C[i] / 2;
  }
  hi += 1;
  for (; lo + 1 < hi; ) {
    const Int mid = (lo + hi) / 2;
    (check(mid) ? lo : hi) = mid;
  }
// cerr<<"brute "<<C<<" = "<<lo<<endl;
  return lo;
}

Int slow() {
  Int sumTwo = 0;
  vector<Int> fs(N + 1, 0);
  for (int i = 1; i <= N; ++i) {
    const Int one = C[i] % 2;
    const Int two = C[i] / 2;
    sumTwo += two;
    fs[i] += one;
    fs[min(2 * i - 1, N)] -= two;
  }
  Int mn = 0;
  Int now = 0;
  for (int i = 1; i <= N; ++i) {
    now += fs[i];
    chmin(mn, now);
  }
  Int ans = sumTwo;
  // 2 -> 1,1
  ans -= (-mn + 2) / 3;
  return ans;
}


struct Data {
  Int sum, mn;
  Data(Int val = 0) : sum(val), mn(min(val, 0LL)) {}
  void pull(const Data &l, const Data &r) {
    sum = l.sum + r.sum;
    mn = min(l.mn, l.sum + r.mn);
  }
};

int main() {
  for (; ~scanf("%d%d", &N, &Q); ) {
    C.assign(N + 1, 0);
    for (int i = 1; i <= N; ++i) {
      scanf("%lld", &C[i]);
    }
    
    Int sumTwo = 0;
    vector<Int> fs(N + 1, 0);
    auto add = [&](int i, int sig) -> void {
      const Int one = C[i] % 2;
      const Int two = C[i] / 2;
      sumTwo += sig * two;
      fs[i] += sig * one;
      fs[min(2 * i - 1, N)] -= sig * two;
    };
    
    for (int i = 1; i <= N; ++i) {
      add(i, +1);
    }
    
    int segN;
    for (segN = 1; segN < N + 1; segN <<= 1) {}
    vector<Data> seg(segN << 1);
    for (int i = 0; i < N; ++i) {
      seg[segN + i] = Data(fs[i]);
    }
    for (int u = segN; --u; ) {
      seg[u].pull(seg[u << 1], seg[u << 1 | 1]);
    }
    auto update = [&](int i) -> void {
      int u = segN + i;
      seg[u] = Data(fs[i]);
      for (; u >>= 1; ) {
        seg[u].pull(seg[u << 1], seg[u << 1 | 1]);
      }
    };
    
    for (int q = 0; q < Q; ++q) {
      int L;
      Int D;
      scanf("%d%lld", &L, &D);
      
      add(L, -1);
      C[L] += D;
      add(L, +1);
      
      update(L);
      update(min(2 * L - 1, N));
      
      Int ans = sumTwo;
      ans -= (-seg[1].mn + 2) / 3;
      printf("%lld\n", ans);
#ifdef LOCAL
const Int brt=brute();
if(brt!=ans){
 cerr<<C<<": "<<brt<<" "<<ans<<endl;
 assert(brt==ans);
}
#endif
    }
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 5
Accepted
time: 1ms
memory: 3648kb

input:

1 23
1485
1 -12
1 -30
1 -20
1 6
1 24
1 5
1 31
1 14
1 -34
1 -22
1 -45
1 37
1 46
1 9
1 22
1 -9
1 9
1 -46
1 -47
1 39
1 36
1 -36
1 50

output:

491
481
474
476
484
486
496
501
489
482
467
479
495
498
505
502
505
490
474
487
499
487
504

result:

ok 23 numbers

Test #2:

score: -5
Wrong Answer
time: 0ms
memory: 3656kb

input:

12 1
13 79 59 21 32 13 85 40 74 15 49 56
3 31

output:

241

result:

wrong answer 1st numbers differ - expected: '189', found: '241'

Subtask #2:

score: 0
Skipped

Dependency #1:

0%

Subtask #3:

score: 0
Wrong Answer

Test #28:

score: 5
Accepted
time: 2ms
memory: 3744kb

input:

1999 2000
1 1 1 1 0 2 0 2 1 0 2 1 2 2 2 1 2 0 0 1 2 2 0 1 0 1 0 2 0 0 2 1 1 1 1 0 1 2 1 2 1 1 1 1 1 0 2 2 0 2 1 1 2 0 0 2 0 0 2 1 2 0 0 1 1 2 0 2 2 2 1 2 0 2 1 2 0 1 2 2 2 1 1 2 1 1 1 1 0 0 1 1 0 1 2 1 0 0 2 0 2 2 2 0 1 1 2 0 0 1 0 0 2 1 2 1 2 0 1 1 2 2 0 0 1 2 2 1 2 1 2 2 2 0 0 1 1 2 1 1 2 2 2 2 2 ...

output:

660
660
660
661
661
661
661
660
660
660
660
661
662
662
663
663
662
661
662
662
661
660
661
660
660
660
661
661
661
661
662
661
661
660
661
660
659
658
658
659
659
658
659
660
660
660
660
660
660
659
659
659
659
659
659
659
659
660
659
658
658
658
658
657
657
657
658
657
656
657
657
657
656
656
655
...

result:

ok 2000 numbers

Test #29:

score: -5
Wrong Answer
time: 2ms
memory: 3740kb

input:

2000 2000
0 1 1 0 0 0 0 1 1 2 0 2 1 2 0 0 0 0 1 0 0 1 2 0 1 1 0 0 1 2 1 1 2 2 2 1 1 2 0 2 2 0 1 0 1 2 2 0 2 0 0 2 0 1 2 2 0 1 0 1 0 1 0 2 0 2 1 2 1 1 0 1 2 0 1 1 1 2 0 2 1 1 2 1 2 0 1 0 0 0 0 2 2 0 2 2 0 2 2 1 0 1 2 1 0 2 0 1 1 2 2 0 0 0 0 2 0 2 2 1 1 1 2 2 0 1 2 0 2 1 0 1 1 2 2 2 0 0 0 0 1 0 0 2 1 ...

output:

694
693
679
679
679
679
679
678
679
678
678
678
679
678
679
678
678
678
678
678
677
678
677
678
678
678
679
678
678
678
678
678
677
677
677
678
677
678
678
678
678
678
678
678
679
678
679
679
679
680
680
680
680
680
680
679
678
677
676
677
676
676
677
676
675
674
674
674
674
674
674
673
673
672
672
...

result:

wrong answer 1st numbers differ - expected: '679', found: '694'

Subtask #4:

score: 0
Wrong Answer

Test #35:

score: 0
Wrong Answer
time: 2ms
memory: 3752kb

input:

2000 1999
0 1 0 3 0 1 0 0 0 0 0 0 0 2 0 0 0 0 3 1 1 0 2 0 0 3 0 0 0 0 0 4 0 0 1 0 1 0 0 0 0 1 2 1 0 0 0 0 7 0 1 3 1 0 1 1 0 3 2 1 0 1 1 3 3 1 0 2 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 1 2 3 0 1 0 3 3 0 0 0 0 1 0 1 2 0 0 2 2 0 1 2 1 2 0 0 0 1 1 0 1 2 0 0 0 0 2 0 5 0 0 0 0 0 1 0 0 2 0 1 2 0 1 0 0 0 2 0 ...

output:

670
670
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
666
665
665
665
665
665
665
665
665
665
665
665
665
665
665
665
665
665
666
666
666
666
666
666
666
666
666
666
666
666
666
665
...

result:

wrong answer 1st numbers differ - expected: '666', found: '670'

Subtask #5:

score: 0
Skipped

Dependency #1:

0%