【全】差分模板

文章目录

• 一维差分
• 二维差分

一维差分

#include 
using namespace std;
 const int N = 1e5 + 10;
 int s[N], a[N];void insert(int l, int r, int x){
 a[l] += x;
 a[r + 1] -= x;
 }int main(){
 int n, m;
 cin >> n >> m;

for (int i = 1; i <= n; i ++){
    cin >> s[i];
    insert(i, i, s[i]);
} 

while(m --){
    int l, r, c;
    cin >> l >> r >> c;
    insert(l, r, c);
}

for (int i = 1; i <= n; i ++){
    s[i] = a[i] + s[i - 1];
    cout << s[i] << ' ';
}

}

二维差分

#include <iostream>

using namespace std;
const int N = 1010;
int s[N][N], a[N][N];

void insert(int x1, int y1, int x2, int y2, int x){
    a[x1][y1] += x;
    a[x2+1][y1] -= x;
    a[x1][y2+1] -= x;
    a[x2+1][y2+1] += x;
}
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 >> s[i][j];
            insert(i,j,i,j,s[i][j]);
        }
    }
    
    while(q --){
        int x1, y1, x2, y2, x;
        cin >> x1 >> y1 >> x2 >> y2 >> x;
        insert(x1, y1, x2, y2, x);
    }
    
    for (int i = 1; i <= n; i ++){
        for(int j = 1; j <= m; j ++){
            s[i][j] = a[i][j] + s[i-1][j] + s[i][j-1] - s[i-1][j-1];
            cout << s[i][j] << ' ';
        }
        cout << endl;
    }
    
    return 0;
}