Implement solution for guessing game cost calculation

GuessNumberhigherorlower

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+class Solution {
+    public int getMoneyAmount(int n) {
+        int[][] dp = new int[n + 1][n + 1];
+
+        return calculateCost(1, n, dp);
+    }
+
+    private int calculateCost(int start, int end, int[][] dp) {
+        if (start >= end) return 0;
+
+        if (dp[start][end] != 0) return dp[start][end];
+
+        int minCost = Integer.MAX_VALUE;
+
+        for (int guess = (start + end) / 2; guess <= end; guess++) {
+            int cost = guess + Math.max(calculateCost(start, guess - 1, dp), calculateCost(guess + 1, end, dp));
+            minCost = Math.min(minCost, cost);
+        }
+
+        dp[start][end] = minCost;
+        return minCost;
+    }
+}