Submission #987148

#	Time	Username	Problem	Language	Result	Execution time	Memory
987148		cig32	Rectangles (IOI19_rect)	C++17	0 / 100	60 ms	51796 KiB

rect

#include "rect.h"
#include "bits/stdc++.h"
using namespace std;
#define int long long


const int MAXN = 60;
int32_t upBad[MAXN][MAXN];
int32_t downBad[MAXN][MAXN];
int32_t leftBad[MAXN][MAXN];
int32_t rightBad[MAXN][MAXN];

int32_t up[MAXN][10][MAXN], down[MAXN][10][MAXN];
int32_t Left[MAXN][10][MAXN], Right[MAXN][10][MAXN];

int n,m;

int up_query(int i, int l, int r) {
  int32_t mx = -1;
  for(int j=l; j<=r; j++) mx = max(mx, upBad[i][j]);
  return mx;
  int k = 32 - __builtin_clz(r - l + 1) - 1;
  return max(up[i][k][l], up[i][k][r - (1<<k) + 1]);
}

int down_query(int i, int l, int r) {
  int32_t mn = n;
  for(int j=l; j<=r; j++) mn = min(mn, downBad[i][j]);
  return mn;
  int k = 32 - __builtin_clz(r - l + 1) - 1;
  return min(down[i][k][l], down[i][k][r - (1<<k) + 1]);
}

int left_query(int i, int l, int r) {
  int32_t mx = -1;
  for(int j=l; j<=r; j++) mx = max(mx, leftBad[j][i]);
  return mx;
  int k = 32 - __builtin_clz(r - l + 1) - 1;
  return max(Left[i][k][l], Left[i][k][r - (1<<k) + 1]);
}

int right_query(int i, int l, int r) {
  int32_t mn = m;
  for(int j=l; j<=r; j++) mn = min(mn, rightBad[j][i]);
  return mn;
  int k = 32 - __builtin_clz(r - l + 1) - 1;
  return min(Right[i][k][l], Right[i][k][r - (1<<k) + 1]);
}

int count_rectangles(std::vector<std::vector<int32_t> > a) {
	
  n = a.size(), m = a[0].size();

  for(int i=0; i<n; i++) {
    for(int j=0; j<m; j++) {
      rightBad[i][j] = m;
      downBad[i][j] = n;
      upBad[i][j] = -1;
      leftBad[i][j] = -1;
      for(int k=j+1; k<m; k++) {
        if(a[i][k] >= a[i][j]) {
          rightBad[i][j] = k; break;
        }
      }
      for(int k=j-1; k>=0; k--) {
        if(a[i][k] >= a[i][j]) {
          leftBad[i][j] = k; break;
        }
      }
      for(int k=i+1; k<n; k++) {
        if(a[k][j] >= a[i][j]) {
          downBad[i][j] = k; break;
        }
      }
      for(int k=i-1; k>=0; k--) {
        if(a[k][j] >= a[i][j]) {
          upBad[i][j] = k; break;
        }
      }
    }
  }
  for(int i=0; i<n; i++) {
    for(int j=0; j<m; j++) {
      Left[j][0][i] = leftBad[i][j];
      Right[j][0][i] = rightBad[i][j];
      up[i][0][j] = upBad[i][j];
      down[i][0][j] = downBad[i][j];
    }
  }

  for(int k=1; k<10; k++) {
    for(int i=0; i<n; i++) {
      for(int j=0; j+(1<<k)-1<m; j++) {
        up[i][k][j] = max(up[i][k-1][j], up[i][k-1][j+(1<<(k-1))]);
        down[i][k][j] = min(down[i][k-1][j], down[i][k-1][j+(1<<(k-1))]);
      }
    }
    for(int i=0; i<m; i++) {
      for(int j=0; j+(1<<k)-1<n; j++) {
        Left[i][k][j] = max(Left[i][k-1][j], Left[i][k-1][j+(1<<(k-1))]);
        Right[i][k][j] = min(Right[i][k-1][j], Right[i][k-1][j+(1<<(k-1))]);
      }
    }
  }
  int ans = 0;

  for(int u=1; u+1<n; u++) {
    for(int d=u; d+1<n; d++) {
      for(int l=1; l+1<m; l++) {
        for(int r=l; r+1<n; r++) {
          bool alive = 1;
          alive &= (right_query(l - 1, u, d) > r);
          alive &= (left_query(r + 1, u, d) < l);
          alive &= (down_query(u - 1, l, r) > d);
          alive &= (up_query(d + 1, l, r) < u);
          ans += alive;
        }
      }
    }
  }

  return ans;

  /*
  for(int len=1; len<=n-2; len++) {
    for(int i=1; i+len-1<=n-2; i++) {
      for(int x=1; x+1<m; x++) {
        int u, d, l, r;
        bool alive;
        u = i, d = i + len - 1;
        // as left
        l = x, r = right_query(x - 1, u, d) - 1;
        if(u <= d && l <= r) {
          alive = 1;
          alive &= (right_query(l - 1, u, d) > r);
          alive &= (left_query(r + 1, u, d) < l);
          alive &= (down_query(u - 1, l, r) > d);
          alive &= (up_query(d + 1, l, r) < u);
          for(int i=u; i<=d; i++) {
            for(int j=l; j<=r; j++) {
              alive &= (a[i][j] < a[u-1][j]);
              alive &= (a[i][j] < a[d+1][j]);
              alive &= (a[i][j] < a[i][l-1]);
              alive &= (a[i][j] < a[i][r+1]);
            }
          }
          ans += alive;
          //if(alive) cout << "u = " << u << ", d = " << d << ", l = " << l << ", r = "<<r<<"\n";
        }
        // as right
        l = left_query(x + 1, u, d) + 1, r = x;
        if(right_query(l - 1, u, d) == r + 1 && left_query(r + 1, u, d) == l - 1) continue;
        if(u <= d && l <= r) {
          alive = 1;
          alive &= (right_query(l - 1, u, d) > r);
          alive &= (left_query(r + 1, u, d) < l);
          alive &= (down_query(u - 1, l, r) > d);
          alive &= (up_query(d + 1, l, r) < u);
          for(int i=u; i<=d; i++) {
            for(int j=l; j<=r; j++) {
              alive &= (a[i][j] < a[u-1][j]);
              alive &= (a[i][j] < a[d+1][j]);
              alive &= (a[i][j] < a[i][l-1]);
              alive &= (a[i][j] < a[i][r+1]);
            }
          }
          ans += alive;
          //if(alive) cout << "u = " << u << ", d = " << d << ", l = " << l << ", r = "<<r<<"\n";
        }
      }
    }
  }
  */

  return ans;
}

/*
g++ -std=c++17 -O2 -o rect grader.cpp rect.cpp
./rect < input.txt

*/

• Subtask 1: 0 / 8
• Subtask 2: 0 / 7
• Subtask 3: 0 / 12
• Subtask 4: 0 / 22
• Subtask 5: 0 / 10
• Subtask 6: 0 / 13
• Subtask 7: 0 / 28