How to Solve Count the Number of Arrays with K Matching Adjacent Elements Problem
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Count the Number of Arrays with K Matching Adjacent Elements
You are given three integers n, m, k. A good array arr of size n is defined as follows: Each element in arr is in the inclusive range [1, m]. Exactly k indices i (where 1 <= i < n) satisfy the conditi...
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Problem Statement
You are given three integers n, m, k. A good array arr of size n is defined as follows: Each element in arr is in the inclusive range [1, m]. Exactly k indices i (where 1 <= i < n) satisfy the condition arr[i - 1] == arr[i]. Return the number of good arrays that can be formed. Since the answer may be very large, return it modulo 109 + 7.
Count the Number of Arrays with K Matching Adjacent Elements
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Examples
n = 3, m = 2, k = 14There are 4 good arrays. They are [1, 1, 2], [1, 2, 2], [2, 1, 1] and [2, 2, 1]. Hence, the answer is 4.
n = 4, m = 2, k = 26The good arrays are [1, 1, 1, 2], [1, 1, 2, 2], [1, 2, 2, 2], [2, 1, 1, 1], [2, 2, 1, 1] and [2, 2, 2, 1]. Hence, the answer is 6.
n = 5, m = 2, k = 02The good arrays are [1, 2, 1, 2, 1] and [2, 1, 2, 1, 2]. Hence, the answer is 2.
Constraints
1 <= n <= 1051 <= m <= 1050 <= k <= n - 1How Interview Coder Helps with Leetcode Problems
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