Package g1401_1500.s1420_build_array_where_you_can_find_the_maximum_exactly_k_comparisons

Class Solution

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.<p>Hard</p> <p>You are given three integers <code>n</code>, <code>m</code> and <code>k</code>. Consider the following algorithm to find the maximum element of an array of positive integers:</p> <p><img src="https://assets.leetcode.com/uploads/2020/04/02/e.png" alt="" /></p> <p>You should build the array arr which has the following properties:</p> <ul> <li><code>arr</code> has exactly <code>n</code> integers.</li> <li><code>1 <= arr[i] <= m</code> where <code>(0 <= i < n)</code>.</li> <li>After applying the mentioned algorithm to <code>arr</code>, the value <code>search_cost</code> is equal to <code>k</code>.</li> </ul> <p>Return <em>the number of ways</em> to build the array <code>arr</code> under the mentioned conditions. As the answer may grow large, the answer <strong>must be</strong> computed modulo <code>10⁹ + 7</code>.</p> <p><strong>Example 1:</strong></p> <p><strong>Input:</strong> n = 2, m = 3, k = 1</p> <p><strong>Output:</strong> 6</p> <p><strong>Explanation:</strong> The possible arrays are [1, 1], [2, 1], [2, 2], [3, 1], [3, 2] [3, 3]</p> <p><strong>Example 2:</strong></p> <p><strong>Input:</strong> n = 5, m = 2, k = 3</p> <p><strong>Output:</strong> 0</p> <p><strong>Explanation:</strong> There are no possible arrays that satisify the mentioned conditions.</p> <p><strong>Example 3:</strong></p> <p><strong>Input:</strong> n = 9, m = 1, k = 1</p> <p><strong>Output:</strong> 1</p> <p><strong>Explanation:</strong> The only possible array is [1, 1, 1, 1, 1, 1, 1, 1, 1]</p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= n <= 50</code></li> <li><code>1 <= m <= 100</code></li> <li><code>0 <= k <= n</code></li> </ul>

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
int	numOfArrays(int n, int m, int k)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

Solution

public Solution()

Method Details

numOfArrays

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