Package g1401_1500.s1420_build_array_where_you_can_find_the_maximum_exactly_k_comparisons

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    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:

    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 <code>10<sup>9</sup> + 7</code>.

    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, 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 &lt;= n &lt;= 50

    • 1 &lt;= m &lt;= 100

    • 0 &lt;= k &lt;= n

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

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

      • Methods inherited from class java.lang.Object

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