343. Integer Break
Given a positive integer n, break it into the sum of at least two positive integers and maximize the product of those integers. Return the maximum product you can get.
Example 1:
Input: 2
Output: 1
Explanation: 2 = 1 + 1, 1 × 1 = 1.
Example 2:
Input: 10
Output: 36
Explanation: 10 = 3 + 3 + 4, 3 × 3 × 4 = 36.
Note: You may assume that n is not less than 2 and not larger than 58.
class Solution { public int integerBreak(int n) { int[] dp = new int[n + 1]; dp[1] = 1; for(int i = 2; i <= n; i ++) { for(int j = 1; j*2 <= i; j ++) { dp[i] = Math.max(dp[i], (Math.max(j,dp[j])) * (Math.max(i - j, dp[i - j]))); } } return dp[n]; } }
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