Count of Non-Consecutive Arrangements

Problem Statement

Count of Non-Consecutive Arrangements Problem Description You are provided with the initial N positive integers (i.e., 1, 2, ..., N). Your task is to organize these integers into an array A of size N such that there is no position i (where 0 ≤ i A[i] + 1 = A[i + 1] holds true. Determine the total number of valid arrangements that can be formed using the initial N positive integers. Function Description Implement the solve function. This function accepts the following parameter and returns the count of all valid configurations. N : An integer representing the number of positive integers to be arranged. The return value should be the count of valid arrangements modulo 10 9 + 7. Input Format The first line contains an integer T , indicating the number of test cases. For each test case: The first line contains a single integer N . Output Format For each test case, output on a new line the count of arrays that can be formed, modulo 10 9 + 7. Constraints 1 ≤ T ≤ 10 5 1 ≤ N ≤ 1