Submission #1275747

#TimeUsernameProblemLanguageResultExecution timeMemory
1275747rtriPlus Minus (BOI17_plusminus)C++20
0 / 100
0 ms332 KiB
#include <bits/stdc++.h>
using namespace std;

int powmod(int b, int e, int m) {
  b %= m;
  int res = 1;
  while (0 < e) {
    if (e & 1)
      res = (res * b) % m;
    b = (b * b) % m;
    e >>= 1;
  }
  return res;
}

int main() {
  int n, m, k;
  cin >> n >> m >> k;

  vector<tuple<int, int, int>> given;
  for (int i = 0; i < k; i++) {
    char pm;
    int y, x;
    cin >> pm >> y >> x;
    y--;
    x--;
    if (pm == '+')
      given.push_back({y, x, 1});
    else if (pm == '-')
      given.push_back({y, x, 0});
    else
      cerr << "BAD!" << "\n";
  }

  int freehor = n, freever;
  bool possiblehor = true, possiblever = false;
  vector<int> statushor(n, -1), statusver(m, -1);
  for (int i = 0; i < k; i++) {
    auto [y, x, flip] = given[i];

    int fliphor = (flip + x) % 2;
    if (statushor[y] == -1) {
      freehor--;
      statushor[y] = fliphor;
    } else if (statushor[y] != fliphor)
      possiblehor = false;

    int flipver = (flip + y) % 2;
    if (statusver[x] == -1) {
      freever--;
      statusver[x] = flipver;
    } else if (statusver[x] != flipver)
      possiblever = false;
  }

  int ans = 0;
  if (possiblehor)
    ans += powmod(2, freehor, 1e9 + 7);
  if (possiblever)
    ans += powmod(2, freever, 1e9 + 7);

  if (possiblever && possiblehor) {
    int t1 = 1, t2 = 1;
    for (int i = 0; i < n; i++) {
      if (statushor[i] != -1 && statushor[i] == i % 2)
        t1 = 0;
      if (statushor[i] != -1 && statushor[i] == (i + 1) % 2)
        t2 = 0;
    }
    ans -= t1 + t2;
  }

  cout << ans << endl;

  return 0;
}
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