Leetcode 375 Solution

This article provides solution to leetcode question 375 (guess-number-higher-or-lower-ii)
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https://leetcode.com/problems/guess-number-higher-or-lower-ii

Solution

class Solution {
public:
    int getMoneyAmount(int n) {
        vector<vector<int>> dp;



        for (int i = 0; i <= n; i++)
        {
            vector<int> b(n + 1);
            dp.push_back(b);
        }



        for (int i = 0; i < n; i++)
        {
            for (int j = 1; i + j <= n; j++)
            {
                int l = j;
                int r = i + j;



                if (l == r)
                    dp[l][r] = 0;
                else
                {
                    dp[l][r] = min(l + dp[l + 1][r], r + dp[l][r - 1]);



                    for (int k = l + 1; k <= r - 1; k++)
                    {
                        dp[l][r] = min(dp[l][r], k + max(dp[l][k - 1], dp[k + 1][r]));
                    }
                }
            }
        }



        return dp[1][n];
    }
};