[LintCode] Drop Eggs II

There is a building of n floors. If an egg drops from the k th floor or above, it will break. If it's dropped from any floor below, it will not break.

You're given m eggs, Find k while minimize the number of drops for the worst case. Return the number of drops in the worst case.

Example

Given m = 2, n = 100 return 14
Given m = 2, n = 36 return 8

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https://www.geeksforgeeks.org/dynamic-programming-set-11-egg-dropping-puzzle/

public class Solution {
    /*
     * @param m: the number of eggs
     * @param n: the number of floors
     * @return: the number of drops in the worst case
     */
    public int dropEggs2(int m, int n) {
        // write your code here
        int[][] dp = new int[m + 1][n + 1];
        
        //one trial at floor 1, 0 trial at floor 0
        for (int i = 1; i <= m; i++) {
            dp[i][1] = 1;
            dp[i][0] = 0;
        }
        
        //1 eggs at floor j, need j trial
        for (int j = 1; j <= n; j++) {
            dp[1][j] = j;
        }
        
        for (int i = 2; i <= m; i++) {
            for (int j = 2; j <= n; j++) {
                dp[i][j] = Integer.MAX_VALUE;
                for (int k = 1; k <= j; k++) {
                    dp[i][j] = Math.min(dp[i][j], 
                                        1 + Math.max(dp[i - 1][k - 1], dp[i][j - k]));
                }
            }
        }
        return dp[m][n];
    }
}