思路
因为最外围已经全为0且不可以更改,所以想要满足条件只能是所有数全为0;
遍历矩阵,如果一个数能通过操作变为0,那么这个点就满足条件;
如果一个数想变为0,有两种方法,本来就是0,周围四个数和该点异号或为0;
最后只需要判断所有点是否全为0即可;
临时用别人电脑写的,代码很丑,见谅
代码
#include<bits/stdc++.h>
using namespace std;
#define vi vector<int>
int a[505][505];
void solve() {
int n;
cin >> n;
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= n; j++)
{
cin >> a[i][j];
}
}
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= n; j++)
{
if (a[i][j] == 0)
{
continue;
}
if (a[i + 1][j] >= 0 && a[i][j + 1] >= 0 && a[i - 1][j] >= 0 &&a[i][j - 1] >= 0 && a[i][j] < 0)
{
a[i][j] = 0;
}
if (a[i + 1][j] <= 0 && a[i][j + 1] <= 0 && a[i - 1][j] <= 0 && a[i][j - 1] <= 0 && a[i][j] > 0)
{
a[i][j] = 0;
}
}
}
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= n; j++)
{
if (a[i][j] != 0)
{
cout << "NO" << endl;
return;
}
}
}
cout << "YES" << endl;
}
signed main() {
int qwq = 1;
//cin>>qwq;
while (qwq--)
{
solve();
}
return 0;
}
数据特别小,所以这种做法的时间复杂度完全可以接受

京公网安备 11010502036488号