Submission #827857

#	Time	Username	Problem	Language	Result	Execution time	Memory
827857		OrazB	Rectangles (IOI19_rect)	C++14	38 / 100	5077 ms	131416 KiB

rect

#include <bits/stdc++.h>
using namespace std;
#define all(x) (x).begin(), (x).end()
#define ll long long int
#define pii pair <int, int>
#define pb push_back
#define ff first
#define ss second

const int N = 205;
int mxc[N][N][N]; 
int mxr[N][N][N];
int row[N][N][N], col[N][N][N];

ll count_rectangles(vector<vector<int>> a){
	
	int ans = 0, sub6 = 0;
	int n = a.size(), m = a[0].size();
	for (int i = 0; i < n; i++){
		for (int j = 0; j < m; j++) sub6 |= (a[i][j]>1);
	}

	if (n < 3) return 0;

	if (n == 3){
		vector<vector<vector<int>>> mx(n, vector<vector<int>>(m, vector<int>(m,0)));
		vector<int> P(m, 0);
		
		for (int i = 0; i < n; i++){
			for (int x = 0; x < m; x++){
				for (int j = 0; j < m-x; j++){
					if (!x) 
						mx[i][j][j] = a[i][j];
					else
						mx[i][j][j+x] = max(mx[i][j][j+x-1], a[i][j+x]);
				}
			}
		}

		for (int i = 0; i < m; i++){
			if (a[0][i] <= a[1][i] or a[2][i] <= a[1][i]) P[i] = 1;
			if (i) P[i] += P[i-1];
		}

		int ans = 0;
		for (int i = 0; i < m; i++){
			for (int j = i+2; j < m; j++){
				if (a[1][i] > mx[1][i+1][j-1] and a[1][j] > mx[1][i+1][j-1] and !(P[j-1]-P[i])) ans++;
			}
		} 
		
		return ans;
	}

	if (!sub6){
		vector<vector<int>> rw(m, vector<int>(n,0));
		vector<vector<int>> c(n, vector<int>(m,0));
		vector<vector<int>> mat(n, vector<int>(m,0));
		for (int i = 0; i < n; i++){
			for (int j = 0; j < m; j++){
				mat[i][j] = a[i][j];
				if (j) mat[i][j] += mat[i][j-1];
			}
		}
		for (int i = 1; i < n; i++){
			for (int j = 0; j < m; j++){
				mat[i][j] += mat[i-1][j];
			}
		}
		for (int i = 0; i < n; i++){
			for (int j = 0; j < m; j++){
				c[i][j] = a[i][j];
				if (j) c[i][j] += c[i][j-1];
			}
		}
		for (int i = 0; i < m; i++){
			for (int j = 0; j < n; j++){
				rw[i][j] = a[j][i];
				if (j) rw[i][j] += rw[i][j-1];
			}
		}
		for (int i = 1; i < n; i++){
			for (int j = 0; j < m; j++){
				if (a[i][j+1] == 1 or a[i][j] == 0) continue;
				int l = j+2, r = m-1, pos = -1;
				while(l <= r){
					int md = (l+r)>>1;
					if (c[i][md]-c[i][j] > 1) r = md - 1;
					else if (c[i][md]-c[i][j] == 1){pos=md;r=md-1;}
					else l = md + 1;
				}
				if (pos == -1) continue;
				if (c[i-1][pos-1]-c[i-1][j] != pos-j-1) continue;
				l = i+1, r = n-1;
				int pos1 = -1;
				while(l <= r){
					int md = (l+r)>>1;
					if (rw[j+1][md]-rw[j+1][i] > 1) r = md - 1;
					else if (rw[j+1][md]-rw[j+1][i] == 1){pos1=md;r=md-1;}
					else l = md + 1;
				}
				if (pos1 == -1) continue;
				if (c[pos1][pos-1]-c[pos1][j] != pos-j-1) continue;
				pos1--;
				if (rw[j][pos1]-rw[j][i] != pos1-i or rw[pos][pos1]-rw[pos][i] != pos1-i) continue;
				if (mat[pos1][pos-1]-mat[pos1][j]-mat[i-1][pos-1]+mat[i-1][j]) continue;
				ans++;
			}
		}
		return ans;
	}

	for (int i = 0; i < n; i++){
		for (int x = 0; x < m; x++){
			for (int j = 0; j < m-x; j++){
				
				if (!x) 
					mxc[i][j][j] = a[i][j];
				else
					mxc[i][j][j+x] = max(mxc[i][j][j+x-1], a[i][j+x]);
			}
		}
	}

	for (int i = 0; i < m; i++){
		for (int x = 0; x < n; x++){
			for (int j = 0; j < n-x; j++){
 
				if (!x) 
					mxr[i][j][j] = a[j][i];
				else
					mxr[i][j][j+x] = max(mxr[i][j][j+x-1], a[j+x][i]);
			}
		}
	}

	for (int i = 0; i < n; i++){
		for (int j = 0; j < m; j++){
			for (int k = j+2; k < m; k++){
				row[i][j][k] = (a[i][j] > mxc[i][j+1][k-1] and a[i][k] > mxc[i][j+1][k-1]);
				if (i) row[i][j][k] += row[i-1][j][k];
			}
		}
	}
	for (int i = 0; i < m; i++){
		for (int j = 0; j < n; j++){
			for (int k = j+2; k < n; k++){
				col[i][j][k] = (a[j][i] > mxr[i][j+1][k-1] and a[k][i] > mxr[i][j+1][k-1]);
				if (i) col[i][j][k] += col[i-1][j][k];
			}
		}
	}
	for (int x = 2; x < n; x++){
		for (int y = 2; y < m; y++){
			for (int i = 0; i < n; i++){
				for (int j = 0; j < m; j++){
					if (row[i+x-1][j][j+y]-row[i][j][j+y] != x-1) continue;
					if (col[j+y-1][i][i+x]-col[j][i][i+x] != y-1) continue;
					ans++;
				}
			}
		}
	}
	return ans;
}

// int main ()
// {
// 	ios::sync_with_stdio(false);
// 	cin.tie(0);
// 	int n, m;
// 	cin >> n >> m;
// 	vector<vector<int>> a(n, vector<int>(m));
// 	for (int i = 0; i < n; i++){
// 		for (int j = 0; j < m; j++) cin >> a[i][j];
// 	}
// 	cout << count_rectangles(a);
// }	

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