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// @Title: 完全平方数 (Perfect Squares)
// @Author: 15816537946@163.com
// @Date: 2020-06-25 07:15:36
// @Runtime: 36 ms
// @Memory: 5.7 MB
/*
 * @lc app=leetcode.cn id=279 lang=golang
 *
 * [279] 完全平方数
 *
 * https://leetcode-cn.com/problems/perfect-squares/description/
 *
 * algorithms
 * Medium (50.98%)
 * Likes:    180
 * Dislikes: 0
 * Total Accepted:    18.2K
 * Total Submissions: 35.8K
 * Testcase Example:  '12'
 *
 * 给定正整数 n,找到若干个完全平方数(比如 1, 4, 9, 16, ...)使得它们的和等于 n。你需要让组成和的完全平方数的个数最少。
 * 
 * 示例 1:
 * 
 * 输入: n = 12
 * 输出: 3 
 * 解释: 12 = 4 + 4 + 4.
 * 
 * 示例 2:
 * 
 * 输入: n = 13
 * 输出: 2
 * 解释: 13 = 4 + 9.
 * 
 */
 /*
func numSquares(n int) int {
	dp := make([]int,n+1)
	// dp[0] = 0
	for i :=1;i<n+1;i++ {
		dp[i] = i
		for j :=1;i-j*j>=0;j++ {
			dp[i] = min(dp[i], dp[i-j*j]+1)
		}
	}
	return dp[n]
}

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

func numSquares(n int) int {
	dp := make([]int, n+1)
	for i := 1; i < n+1; i++ {
		dp[i] = i
		for j := 1; i-j*j >= 0; j++ {
			dp[i] = min(dp[i], dp[i-j*j]+1)
		}
	}

	return dp[n]
}

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