好，开始没做出来 guess-number-higher-or-lower-ii

https://leetcode.com/mockinterview/session/result/xsicjnm/

https://leetcode.com/problems/guess-number-higher-or-lower-ii/

// https://discuss.leetcode.com/topic/51353/simple-dp-solution-with-explanation
// https://en.wikipedia.org/wiki/Minimax
// 开始我的思路有问题，我是先选择区间，最后收敛到结果数
// 实际上work的思路是，先选择数字，再走向某个区间，然后取两个区间中的更大值

class Solution {
    int ** table;
    int DP(int s, int e) {
        if (s >= e) {
            return 0;
        }
        
        if (table[s][e] != INT_MAX) {
            return table[s][e];
        }
        int local_max = INT_MAX;
        for (int k=s; k<=e; ++k) {
            // 下面这个表达式很重要
            local_max = min(k + max(DP(s, k-1), DP(k+1, e)), local_max);
        }
        table[s][e] = local_max;
        return local_max;
    }
    
public:
    int getMoneyAmount(int n) {
        
        table = new int*[n+1];
        for (int i=0; i<n+1; ++i) {
            table[i] = new int[n+1];
            for (int j=0; j<n+1; ++j) {
                table[i][j] = INT_MAX;
            }
        }
        
        int ret = DP(1, n);
        
        for (int i=0; i<n+1; ++i) {
            delete[] table[i];
        }
        delete[] table;
        
        return ret;
    }
    
};

// 用Java又做了一遍

package com.company;


import java.util.ArrayList;
import java.util.List;

class Solution {
    int[][] dp;

    int get(int s, int e) {
        if (s >= e) {
            // 注意,只有一个的话,不用猜
            return 0;
        }

        if (dp[s][e] != 0) {
            return dp[s][e];
        }

        // 注意Java的是这种形式的MIN/MAX
        int min = Integer.MAX_VALUE;
        for (int i=s; i<=e; i++) {
            int tmp = Math.max(get(s, i-1), get(i+1, e)) + i;
            if (tmp < min) {
                min = tmp;
            }
        }
        dp[s][e] = min;
        return min;
    }

    public int getMoneyAmount(int n) {
        // 看了之前做的内容,思路还是很清晰的
        // 要用DP的时候,不要犹豫

        dp =new int[n+1][n+1];
        int ret = get(1, n);
        return ret;
    }
}

public class Main {

    public static void main(String[] args) {
        // write your code here
        System.out.println("Hello");
        Solution solution = new Solution();

        int ret = solution.getMoneyAmount(3);
        System.out.printf("Get ret: %d\n", ret);

    }
}