AcWing 798. 差分矩阵
原题链接
简单
作者:
blalalt
,
2020-05-03 12:12:44
,
所有人可见
,
阅读 575
C++ 代码
// b[i][j] = a[i][j] - sum(b[1...i][1...j])
#include <iostream>
using namespace std;
const int N = 1010;
int b[N][N];
void insert(int x1, int y1, int x2, int y2, int c) {
b[x1][y1] += c;
b[x2+1][y2+1] += c;
b[x2+1][y1] -= c;
b[x1][y2+1] -= c;
}
int main() {
int n, m, q;
cin >> n >> m >> q;
int tmp;
for (int i=1; i<=n; i++) {
for (int j=1; j<=m; j++) {
cin >> tmp;
insert(i, j, i, j, tmp); // 构造差分矩阵
}
}
int x1, y1, x2, y2, c;
while (q --) {
cin >> x1 >> y1 >> x2 >> y2 >> c;
insert(x1, y1, x2, y2, c);
}
// 前缀和复原
for (int i=1; i<=n; i++) {
for (int j=1; j<=m; j++) {
b[i][j] += b[i-1][j] + b[i][j-1] - b[i-1][j-1];
cout << b[i][j] << ' ';
}
cout << endl;
}
return 0;
}