Shortest path from 1 to n

PROBLEM :

Consider a directed graph whose vertices are numbered from 1 to n. There is an edge from a vertex i to a vertex j iff either j = i + 1 or j = 3i. The task is to find the minimum number of edges in a path in G from vertex 1 to vertex n.

Input:  The first line of input contains an integer T denoting the number of test cases. The description of T test cases follows.

Each test case contains a value of n.

Output:  Print the number of edges in the shortest path from 1 to n.
Constraints: 1<=T<=30
Example:  1<=n <=1000

Example:
Input:
2
9
4

Output:
2
2

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SIMPLE c++ IMPLEMENTATION :
--------------------------------------------------------------------------------

#include<iostream>
using namespace std;
int main()
{
    int t ;
    cin>>t ;
    while(t--)
    {
        int no ;
        cin>>no ;
       
        int count=0 ;
       
        while(no!=1)
        {
            if(no%3==0)
                no=no/3 ;
            else
                no=no-1 ;
               
            count++ ;
        }
        cout<<count<<endl ;
    }
return 0;
}

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