Min Steps to One Using Dynamic Programming

Given a positive integer N, your task is to determine the minimum number of steps required to reduce N to 1.

Allowed Operations:

1) Subtract 1 from it: n = n - 1
2) If n is divisible by 2, divide it by 2: if n % 2 == 0, then n = n / 2
3) If n is divisible by 3, divide it by 3: if n % 3 == 0, then n = n / 3

Input:

The input starts with an integer 'T', the number of test cases.
Each of the next 'T' lines contains a single integer 'N'.

Output:

Return an integer for each test case which denotes the minimum steps needed to reduce the number to 1.

Example:

Input:

T = 1
N = 4

Output:

2

Explanation:

Starting from N = 4, divide by 2 to get 2, then subtract 1 to reach 1.

Constraints:

• 1 <= T <= 5
• 1 <= N <= 10⁵

Time Limit: 1 second

Note:

This problem requires the implementation of the function that calculates the minimum steps, without printing the output.