histcat

histcat

P1169 [ZJOI2007] 棋盤製作

題目#

link

題解#

懸線法

正方形最大面積可以統計最大變成的平方

最大邊長等於min(r[i][j] - l[i][j] + 1, h[i][j])

#

i==1時候 l 與 r 數組不要更新。。。。。

代碼#

#include<bits/stdc++.h>

using namespace std;
const int N = 2100;
int M[N][N];
int zhuan[N][N];
int n, m;
int h[N][N], l[N][N], r[N][N];
int main()
{
// 	freopen("in.in", "r", stdin);
// 	freopen("out.out", "w", stdout);
	ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
	cin >> n >> m;
	for(int i = 1;i <= n;i++)
	{
		for(int j = 1;j <= m;j++)
		{
			cin >> M[i][j];
			h[i][j] = 1;
			l[i][j] = r[i][j] = j;
		}
	}

	for(int i = 2;i <= n;i++)
	{
		for(int j = 1;j <= m;j++)
		{
			if(M[i - 1][j] != M[i][j])
			{
				h[i][j] = h[i - 1][j] + 1;
			}
		}
	}

	for(int i = 1;i <= n;i++)
	{
		for(int j = 2;j <= m;j++)
		{
			if(M[i][j - 1] != M[i][j])
			{
				l[i][j] = l[i][j - 1];
			}
		}
	}

	for(int i = 1;i <= n;i++)
	{
		for(int j = m - 1;j >= 1;j--)
		{
			if(M[i][j + 1] != M[i][j])
			{
				r[i][j] = r[i][j + 1];
			}
		}
	}
	int maxsquare = 0;
	int maxlen = 0;
	for(int i = 1;i <= n;i++)
	{
		for(int j = 1;j <= m;j++)
		{
			if(M[i - 1][j] != M[i][j])
			{
				if(i == 1) continue;
				l[i][j] = max(l[i][j], l[i - 1][j]);
				r[i][j] = min(r[i][j], r[i - 1][j]);
			}

			int b = min(r[i][j] - l[i][j] + 1, h[i][j]);
			maxlen = max(maxlen, b * b);
			maxsquare = max(maxsquare, (r[i][j] - l[i][j] + 1) * h[i][j]);
		}
	}
	cout << maxlen << endl;
	cout << maxsquare << endl;

	return 0;
}
載入中......
此文章數據所有權由區塊鏈加密技術和智能合約保障僅歸創作者所有。