差分

//洛谷p2367语文成绩
一维差分

#include<iostream>
using namespace std;
const int N = 10000010;
int a[N], b[N];
int n;
int p;
void insert(int l, int r, int c) {
	b[l] += c;
	b[r + 1] -= c;
}

int main() {
	cin >> n >> p;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
		insert(i, i, a[i]);//初始化b数组 a[k]=b[1]+b[2]+b[]+...+b[k]
	}
	while(p--){
		int x, y, z;
		cin >> x >> y >> z;
		insert(x, y, z);
	}
	for (int i = 1; i <= n; i++) {
		b[i] += b[i - 1];//将b数组变成自己的前缀和
	}
	//如果用其他数组存s[i]=s[i-1]+a[i];
	int tmp = b[1];
	
	for (int i = 2; i <= n; i++) {
		if (tmp > b[i])tmp = b[i];
	}
	cout << tmp;
}

//洛谷p3397地毯
二维差分

#include<iostream>
using namespace std;

const int N=10010;
int n, m;
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() {
	cin >> n >> m;
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			insert(i, j, i, j, a[i][j]);
		}
	}
	while (m--) {
		int x1, y1, x2, y2;
		cin >> x1 >> y1 >> x2 >> y2 ;
		insert(x1, y1, x2, y2, 1);
	}
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			b[i][j] = b[i - 1][j] + b[i][j - 1] - b[i - 1][j - 1] + b[i][j];
		}
	}
	for (int i = 1; i <= n; i++)
	{
		for (int j = 1; j <= n; j++) {
			cout << b[i][j]<<' ';
		}
		cout << endl;
	}
}