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// @Title: 最大正方形 (Maximal Square)
// @Author: 15816537946@163.com
// @Date: 2020-06-25 07:15:36
// @Runtime: 4 ms
// @Memory: 4.3 MB
/*
 * @lc app=leetcode.cn id=221 lang=golang
 *
 * [221] 最大正方形
 *
 * https://leetcode-cn.com/problems/maximal-square/description/
 *
 * algorithms
 * Medium (38.18%)
 * Likes:    131
 * Dislikes: 0
 * Total Accepted:    11.4K
 * Total Submissions: 29.7K
 * Testcase Example:  '[["1","0","1","0","0"],["1","0","1","1","1"],["1","1","1","1","1"],["1","0","0","1","0"]]'
 *
 * 在一个由 0 和 1 组成的二维矩阵内,找到只包含 1 的最大正方形,并返回其面积。
 *
 * 示例:
 *
 * 输入:
 *
 * 1 0 1 0 0
 * 1 0 1 1 1
 * 1 1 1 1 1
 * 1 0 0 1 0
 *
 * 输出: 4
 *
 */
func maximalSquare(matrix [][]byte) int {
	m := len(matrix)
	if m == 0 {
		return 0
	}
	n := len(matrix[0])
	if n == 0 {
		return 0
	}

	var maxEdage int
	dp := make([][]int, m)

	for i := 0; i < m; i++ {
		dp[i] = make([]int, n)
		if matrix[i][0] == '1' {
			dp[i][0] = 1
			maxEdage = 1
		}
	}

	for i := 0; i < n; i++ {
		if matrix[0][i] == '1' {
			dp[0][i] = 1
			maxEdage = 1
		}
	}

	for i := 1; i < m; i++ {
		for j := 1; j < n; j++ {
			if matrix[i][j] == '1' {
				dp[i][j] = 1 + min(
					dp[i-1][j-1], min(
						dp[i-1][j], dp[i][j-1],
					),
				)
				maxEdage = max(dp[i][j], maxEdage)
			}

		}
	}

	return maxEdage * maxEdage
}

func max(a, b int) int {
	if a > b {
		return a
	}
	return b
}

func min(a, b int) int {
	if a > b {
		return b
	}
	return a
}