2025.3.16
【模板】二维前缀和
https://www.nowcoder.com/practice/99eb8040d116414ea3296467ce81cbbc
#include <iostream>
#include <vector>
using namespace std;
int main() {
int n = 0, m = 0, q = 0;
cin >> n >> m >> q;
vector<vector<int>> arr(n + 1,vector<int>(m + 1));
for(int i = 1; i <= n; i++){
for(int j = 1; j <= m; j++){
cin >> arr[i][j];
}
}
//前缀和矩阵
vector<vector<long long>> dp(n + 1,vector<long long>(m + 1));
for(int i = 1; i <= n; i++){
for(int j = 1; j <=m ;j++){
dp[i][j] = dp[i - 1][j] + dp[i][j - 1] + arr[i][j] - dp[i - 1][j - 1];
}
}
//计算
int x1 = 0,y1 = 0,x2 = 0,y2 = 0;
while (q--){
cin >> x1 >> y1 >> x2 >> y2;
cout << dp[x2][y2] - dp[x1 - 1][y2] - dp[x2][y1 - 1] + dp[x1 - 1][y1 -1] << endl;
}
return 0;
}
// 64 位输出请用 printf("%lld")

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