QOJ.ac

QOJ

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
#437857#8782. Schoolgirlsucup-team1198WA 14ms6948kbC++145.1kb2024-06-09 18:54:022024-06-09 18:54:02

Judging History

你现在查看的是最新测评结果

  • [2024-06-14 13:48:47]
  • hack成功,自动添加数据
  • (/hack/679)
  • [2024-06-14 13:05:18]
  • hack成功,自动添加数据
  • (/hack/678)
  • [2024-06-14 12:22:35]
  • hack成功,自动添加数据
  • (/hack/676)
  • [2024-06-09 18:54:02]
  • 评测
  • 测评结果:WA
  • 用时:14ms
  • 内存:6948kb
  • [2024-06-09 18:54:02]
  • 提交

answer

#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>

using namespace std;

int P;

int reduce(int x) {
  x %= P;
  if (x < 0) return x + P;
  return x;
}

int add(int a, int b) {
  return reduce(a - P + b);
}

int sub(int a, int b) {
  return reduce(a - b);
}

int mul(int a, int b) {
  return (1ll * a * b) % P;
}

int pw(int x, int n) {
  int res = 1;
  while (n) {
    if (n % 2 == 0) {
      x = mul(x, x);
      n /= 2;
    } else {
      res = mul(res, x);
      --n;
    }
  }
  return res;
}

int XI;

vector<int> operator+(vector<int> a, const vector<int>& b) {
  for (int i = 0; i < (int)a.size(); ++i) {
    a[i] = add(a[i], b[i]);
  }
  return a;
}

vector<int> operator-(vector<int> a, const vector<int>& b) {
  for (int i = 0; i < (int)a.size(); ++i) {
    a[i] = sub(a[i], b[i]);
  }
  return a;
}

vector<int> operator*(vector<int> a, const vector<int>& b) {
  for (int i = 0; i < (int)a.size(); ++i) {
    a[i] = mul(a[i], b[i]);
  }
  return a;
}

vector<int> operator*(vector<int> a, int n) {
  for (int& x : a) {
    x = mul(n, x);
  }
  return a;
}

const int MAXN = 4e4 + 100;
vector<int> coord[MAXN];

const int B = 5757, HMOD2 = 1e9 + 1000 - 7;

/**int hsh(const vector<int>& a) {
  int res = 0;
  for (int x : a) {
    res = (1ll * res * B + x) % HMOD2;
  }
  return res;
}*/

const int START = 2e9;

vector<int> query[MAXN];
array<int, 3> pts[MAXN];

vector<int> pw(vector<int> x, int n) {
    vector<int> res(x.size(), 1);
    while (n) {
        if (n % 2 == 0) {
            x = x * x;
            n /= 2;
        } else {
            res = res * x;
            --n;
        }
    }
    return res;
}

vector<bool> solve(int n, int m, int k, int start) {
  for (int i = (start + n - 1) / n * n + 1;; i += n) {
    bool f = true;
    for (int x = 2; x * x <= i && f; ++x) {
      f &= (i % x != 0);
    }
    if (f) {
      P = i;
      break;
    }
  }
  int p1 = P - 1;
  vector<int> prm;
  for (int i = 2; i * i <= p1; ++i) {
    if (p1 % i == 0) {
      prm.push_back(i);
      while (p1 % i == 0) p1 /= i;
    }
  }
  if (p1 != 1) {
    prm.push_back(p1);
  }
  for (int g = 2;; ++g) {
    bool f = true;
    for (int q : prm) {
      if (pw(g, (P - 1) / q) == 1) {
        f = false;
        break;
      }
    }
    if (f) {
      XI = pw(g, (P - 1) / n); /// nth root of unity
      break;
    }
  }
  vector<int> x(n);
  x[0] = 1;
  for (int i = 1; i < n; ++i) {
    x[i] = mul(x[i - 1], XI);
    assert(x[i] != 1);
  }
  assert(mul(x.back(), XI) == 1);

  coord[0] = vector<int>(n, 1);
  for (int i = 1; i < n; ++i) {
    coord[i] = coord[i - 1] * x;
  }
  for (int i = 0; i < m; ++i) {
    int a, b, c;
    a = pts[i][0]; b = pts[i][1]; c = pts[i][2];
    --a; --b; --c;
    coord[i + n] = coord[a] + coord[c] - coord[b];
  }
  vector<bool> ans(k);
  for (int id = 0; id < k; ++id) {
    int r = query[id].size();
    vector<int> pos = query[id];
    vector<int> sum(n, 0);
    for (int i = 0; i < r; ++i) {
      --pos[i];
      sum = sum + coord[pos[i]];
    }
    bool all_same = true;
    for (int i = 1; i < r; ++i) {
        all_same &= (coord[pos[i]] == coord[pos[0]]);
    }
    if (all_same) {
        ans[id] = true;
        continue;
    }
    vector<int> cur_rot;
    if (n % r == 0) {
      cur_rot = coord[n / r];
    } else if (n % 2 == 1 && (2 * n) % r == 0) {
      cur_rot = vector<int>(n, 0) - coord[(n + 1) / 2];
      int val = 2 * n / r;
      val = (val - 1) / 2;
      cur_rot = cur_rot * coord[val];
    } else {
      ans[id] = 0;
      continue;
    }
    assert(pw(cur_rot, r) == vector<int>(n, 1));
    vector<vector<int>> check, rot;
    for (int i = 0; i < r; ++i) {
      vector<int> cur = (coord[pos[i]] * r - sum);
      check.push_back(cur);
      cur = cur * cur_rot;
      rot.push_back(cur);
    }
    sort(check.begin(), check.end());
    sort(rot.begin(), rot.end());
    if (check == rot) {
      ans[id] = 1;
    } else {
      ans[id] = 0;
    }
  }
  return ans;
}


int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);

  int n, m, k;
  cin >> n >> m >> k;
  for (int i = 0; i < m; ++i) {
    cin >> pts[i][0] >> pts[i][1] >> pts[i][2];
  }

  for (int i = 0; i < k; ++i) {
    int r;
    cin >> r;
    query[i].resize(r);
    for (int& x : query[i]) {
        cin >> x;
    }
  }

  vector<int> starts;
  /**for (int i = 1; i <= 20; ++i) {
    starts.push_back(i * 50'000'000);
  }*/
  starts.push_back(1'000'000'000);
  vector<bool> ans(k, 1);
  for (int s : starts) {
    auto res = solve(n, m, k, s);
    for (int i = 0; i < k; ++i) {
      ans[i] = ans[i] & res[i];
    }
  }

  for (int i = 0; i < k; ++i) {
    if (ans[i]) {
      cout << "Yes\n";
    } else {
      cout << "No\n";
    }
  }


  return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 5460kb

input:

3 6 8
1 2 3
3 1 4
5 4 3
3 1 2
4 5 3
4 5 2
6 4 7 6 5 1 2
3 1 3 2
3 1 1 8
4 2 5 6 7
3 2 1 4
3 6 5 9
3 4 7 9
4 1 3 2 8

output:

Yes
Yes
Yes
No
No
No
Yes
No

result:

ok 8 token(s): yes count is 4, no count is 4

Test #2:

score: 0
Accepted
time: 1ms
memory: 6128kb

input:

12 0 1
12 12 11 10 9 8 7 6 5 4 3 2 1

output:

Yes

result:

ok YES

Test #3:

score: 0
Accepted
time: 7ms
memory: 5908kb

input:

3 0 6685
5 1 3 1 2 2
3 1 2 3
5 3 1 3 3 1
4 1 1 1 3
3 3 2 1
5 2 3 2 1 3
6 2 2 3 2 3 1
5 3 1 2 3 2
3 3 3 2
5 3 2 2 2 3
5 2 2 3 3 1
6 3 3 1 3 1 3
6 2 3 3 2 2 1
5 2 2 3 2 2
6 2 3 3 2 1 3
6 2 2 2 2 1 3
3 3 1 2
4 3 2 1 1
5 3 1 3 2 3
4 3 1 1 2
4 2 2 2 3
3 1 2 2
4 2 3 3 1
3 2 2 2
4 1 2 2 3
3 3 3 3
4 1 3 1 3...

output:

No
Yes
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
Yes
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
Yes
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
N...

result:

ok 6685 token(s): yes count is 680, no count is 6005

Test #4:

score: 0
Accepted
time: 6ms
memory: 5932kb

input:

3 1 6654
3 3 1
5 1 2 2 3 3
4 2 1 4 2
4 3 3 2 1
5 4 1 2 1 4
3 1 4 4
6 3 1 2 1 1 4
4 1 2 1 2
5 1 4 3 4 4
4 2 4 4 1
6 3 2 4 2 4 3
3 1 2 1
3 3 2 4
5 4 3 2 1 2
4 3 2 2 1
4 2 1 4 2
4 4 4 2 1
6 2 1 4 2 2 3
4 4 1 2 1
5 2 2 3 3 3
4 2 2 1 4
3 4 3 1
6 4 2 2 4 2 2
6 1 4 1 1 2 2
5 1 4 1 4 3
6 3 2 1 4 1 2
5 2 4 3...

output:

No
No
No
No
Yes
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
Yes
Yes
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
Yes
No
Yes
No
Yes
No
Yes
Yes
No
No
Yes
No
Yes
...

result:

ok 6654 token(s): yes count is 768, no count is 5886

Test #5:

score: 0
Accepted
time: 7ms
memory: 5976kb

input:

3 3 6656
2 3 2
1 2 1
2 3 4
5 3 1 2 3 5
5 3 2 2 2 2
6 5 3 1 4 1 1
5 3 1 5 5 4
3 1 3 6
6 6 3 3 1 4 6
4 2 2 3 1
3 6 4 3
3 5 1 4
3 4 1 5
4 4 2 4 5
3 4 3 5
3 6 4 6
4 3 1 6 5
6 1 1 3 6 1 1
3 4 6 3
6 3 2 2 4 1 6
5 6 2 3 2 1
3 5 3 3
6 1 3 1 2 1 6
4 3 1 3 2
4 4 5 6 3
6 5 6 3 1 4 3
6 5 1 2 4 3 6
3 4 3 5
3 5 4...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 6656 token(s): yes count is 100, no count is 6556

Test #6:

score: 0
Accepted
time: 7ms
memory: 6300kb

input:

3 7 6638
1 2 1
3 1 2
4 3 2
6 1 5
3 1 5
5 2 1
7 3 8
5 7 2 9 10 7
5 1 4 1 4 6
3 5 4 1
3 1 2 8
4 9 8 1 7
4 4 4 2 7
4 2 2 3 9
4 2 5 6 9
4 5 3 3 1
3 1 3 4
4 2 8 4 5
3 9 6 10
6 2 8 4 4 6 7
3 5 3 6
3 5 8 6
4 3 2 2 1
4 9 2 5 2
6 9 6 5 4 8 9
6 9 7 5 9 5 3
3 5 6 2
6 8 4 3 8 1 8
4 7 8 8 7
4 10 3 5 10
6 7 7 2 1...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
N...

result:

ok 6638 token(s): yes count is 144, no count is 6494

Test #7:

score: 0
Accepted
time: 8ms
memory: 5736kb

input:

3 15 6655
2 3 1
3 4 1
2 3 4
6 2 3
6 1 2
4 1 6
8 8 1
1 5 4
4 9 6
6 1 5
12 11 7
12 3 12
8 10 1
7 10 4
10 17 12
4 12 8 10 4
6 14 16 15 9 1 12
5 10 16 18 3 10
6 2 11 9 11 2 2
4 1 8 1 13
4 12 13 12 7
5 16 12 5 18 8
5 14 13 13 12 3
5 3 6 18 5 16
4 1 16 17 16
3 10 10 10
6 17 8 16 14 11 14
3 5 3 13
3 13 9 1...

output:

No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
Yes
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
N...

result:

ok 6655 token(s): yes count is 92, no count is 6563

Test #8:

score: 0
Accepted
time: 14ms
memory: 6948kb

input:

3 30000 6650
1 2 1
4 3 4
3 5 5
3 2 3
6 4 7
2 1 6
7 8 1
5 3 6
1 2 10
11 1 1
8 6 12
7 1 3
11 13 12
7 6 15
10 7 13
1 6 7
13 1 1
19 3 18
4 21 15
3 18 22
19 16 18
16 24 18
19 20 7
21 9 17
27 20 3
21 13 7
22 1 27
2 11 20
31 28 4
15 29 2
22 1 12
19 29 9
6 28 30
23 18 27
2 2 5
37 10 20
25 4 27
32 29 33
41 3...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 6650 token(s): yes count is 0, no count is 6650

Test #9:

score: 0
Accepted
time: 5ms
memory: 5916kb

input:

4 0 5533
3 3 3 2
8 2 3 1 3 4 1 3 4
8 4 2 3 4 3 4 3 2
7 4 4 4 4 4 1 2
5 1 1 4 1 2
3 3 2 1
5 2 1 1 1 2
6 2 3 2 3 4 4
6 4 4 3 2 3 1
4 2 2 1 1
5 2 1 4 1 4
3 4 1 2
3 2 3 3
5 4 2 3 2 1
8 4 2 1 3 2 1 3 4
4 2 2 4 4
4 1 2 3 2
3 3 3 4
7 3 3 2 4 1 3 2
3 2 1 3
6 2 1 2 1 1 2
4 3 4 2 1
6 2 2 1 2 3 4
8 4 4 4 1 2 1...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 5533 token(s): yes count is 162, no count is 5371

Test #10:

score: 0
Accepted
time: 4ms
memory: 6184kb

input:

4 1 5458
3 4 4
8 5 3 3 1 4 3 2 4
3 4 2 5
4 2 2 4 1
4 1 1 5 4
5 2 5 5 5 3
4 4 2 4 1
4 5 5 1 4
6 2 5 1 3 2 2
5 3 2 2 1 4
5 1 2 5 2 3
3 1 5 3
5 5 1 5 1 2
4 3 2 1 3
4 2 5 1 2
3 3 2 5
5 3 3 1 1 4
3 3 5 4
4 5 1 2 5
8 5 3 4 5 5 1 3 5
3 5 5 4
8 5 5 2 3 5 1 2 3
4 3 2 2 3
8 1 4 2 5 5 3 1 3
6 2 2 5 4 5 3
8 5 5...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 5458 token(s): yes count is 194, no count is 5264

Test #11:

score: 0
Accepted
time: 0ms
memory: 5736kb

input:

4 3 5462
3 4 2
3 4 2
3 4 2
7 7 3 3 7 5 2 1
6 4 1 5 3 2 4
8 5 2 3 7 4 3 6 7
4 1 4 6 5
8 3 2 6 1 7 6 1 3
4 7 5 3 4
6 7 1 7 1 2 3
8 6 2 7 7 7 2 3 3
7 2 3 7 6 3 5 7
5 2 4 5 4 3
5 7 2 2 2 1
5 4 5 5 3 1
3 1 6 3
7 7 5 4 2 6 5 1
6 6 2 4 1 6 1
3 4 3 5
4 3 5 2 7
7 4 4 7 3 7 7 1
5 7 5 3 6 6
4 7 5 3 4
6 1 3 1 6...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
...

result:

ok 5462 token(s): yes count is 149, no count is 5313

Test #12:

score: -100
Wrong Answer
time: 5ms
memory: 5708kb

input:

4 7 5463
4 2 1
1 3 1
5 5 2
2 1 1
3 2 2
4 1 7
10 9 7
6 2 11 2 10 6 1
4 11 4 4 3
3 5 5 3
4 7 7 10 8
5 9 7 11 9 5
4 11 8 1 6
5 5 9 1 6 6
5 2 11 7 8 1
3 5 8 8
7 9 6 10 9 10 3 3
6 5 1 9 6 3 7
4 5 1 7 9
5 8 9 6 11 2
3 6 6 3
3 11 8 3
4 7 2 6 4
7 4 5 8 6 11 10 3
5 11 1 4 8 10
6 1 3 10 4 6 3
8 9 5 11 2 11 1 ...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No...

result:

wrong answer expected YES, found NO [57th token]