Convert N to Ok by multiplying by A or B in minimal steps

Given two numbers N and Ok, and a pair A and B, the duty is to multiply N by A or B as many instances to get Ok in minimal steps. If it isn’t attainable to acquire Ok from N, return -1;

Examples:

Enter: n = 4, okay = 5184, a = 2, b = 3
Output: 8
Rationalization: 4→12→24→72→144→432→1296→2592→5184

Enter: n = 5, okay = 13, a = 2, b = 3
Output: -1

Method: The given downside might be solved by utilizing recursion.

Comply with the steps to resolve this downside:

• Initialize a depend variable, Cnt = 0.
• Name a recursive operate to resolve with a parameter n, okay, a, b, Cnt.
• Examine, if n == okay, return Cnt.
• Else if, n > okay, return INT_MAX;
• Name, min(remedy(a*n, okay, a, b, Cnt + 1), remedy(b*n, okay, a, b, Cnt + 1)).
• If, the return worth will not be equal to INT_MAX then print it else print -1.

Beneath is the implementation of the above strategy.

Time Complexity: O(2^okay)
Auxiliary House: O(2^okay)