前缀和与差分 图文并茂 超详细整理（全网最通俗易懂）_前缀和差分_林小鹿@的博客-CSDN博客

 代码展示：

#include<iostream>
#include<cstdio>
using namespace std;
const int N = 1e3 + 10;
int a[N][N], b[N][N];
void insert(int x1, int y1, int x2, int y2, int c)
{b[x1][y1] += c;b[x2 + 1][y1] -= c;b[x1][y2 + 1] -= c;b[x2 + 1][y2 + 1] += c;
}
int main()
{int n, m, q;cin >> n >> m >> q;for (int i = 1; i <= n; i++)for (int j = 1; j <= m; j++)cin >> a[i][j];for (int i = 1; i <= n; i++){for (int j = 1; j <= m; j++){insert(i, j, i, j, a[i][j]);      //构建差分数组}}while (q--){int x1, y1, x2, y2, c;cin >> x1 >> y1 >> x2 >> y2 >> c;insert(x1, y1, x2, y2, c);}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];  //二维前缀和}}for (int i = 1; i <= n; i++){for (int j = 1; j <= m; j++){printf("%d ", b[i][j]);}printf("\n");}return 0;
}