java.lang.Object
g1401_1500.s1420_build_array_where_you_can_find_the_maximum_exactly_k_comparisons.Solution

public class Solution extends Object
1420 - Build Array Where You Can Find The Maximum Exactly K Comparisons\. Hard You are given three integers `n`, `m` and `k`. Consider the following algorithm to find the maximum element of an array of positive integers: ![](https://assets.leetcode.com/uploads/2020/04/02/e.png) You should build the array arr which has the following properties: * `arr` has exactly `n` integers. * `1 <= arr[i] <= m` where `(0 <= i < n)`. * After applying the mentioned algorithm to `arr`, the value `search_cost` is equal to `k`. Return _the number of ways_ to build the array `arr` under the mentioned conditions. As the answer may grow large, the answer **must be** computed modulo 109 + 7. **Example 1:** **Input:** n = 2, m = 3, k = 1 **Output:** 6 **Explanation:** The possible arrays are [1, 1], [2, 1], [2, 2], [3, 1], [3, 2] [3, 3] **Example 2:** **Input:** n = 5, m = 2, k = 3 **Output:** 0 **Explanation:** There are no possible arrays that satisify the mentioned conditions. **Example 3:** **Input:** n = 9, m = 1, k = 1 **Output:** 1 **Explanation:** The only possible array is [1, 1, 1, 1, 1, 1, 1, 1, 1] **Constraints:** * `1 <= n <= 50` * `1 <= m <= 100` * `0 <= k <= n`
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • numOfArrays

      public int numOfArrays(int n, int m, int k)