Max rope cutting

PROBLEM :

Given a rope of length n meters, cut the rope in different parts of integer lengths in a way that maximizes product of lengths of all parts. You must make at least one cut.

Input:

The first line of input contains an integer T denoting the number of test cases.
The first line of each test case is length of rope denoted by N.

Output:

Print the maximizes product of lengths of all parts.

Constraints:

1 = T = 50
1 = N = 100

Example:

Input:
2
2
5

Output:
1
6

--------------------------------------------------------------------------------
SIMPLE c++ IMPLEMENTATION :(Using Auxilary arry)
--------------------------------------------------------------------------------

#include<iostream>
using namespace std;
long long Max_rope_cutting(int ) ;
int main()
 {
int t,no ;
long long ans ;
cin>>t ;
while(t--)
{
   cin>>no ;
   ans=Max_rope_cutting(no) ;
   cout<<ans<<endl ;
}
return 0;
}

long long Max_rope_cutting(int no)
{
    long long multi=1 ;
   
    if(no==1||no==2||no==3)
        return no-1 ;
       
    while(no>4)
    {
        no=no-3 ;
        multi=multi*3 ;
    }
    multi=multi*no ;
    return multi ;
}

---------------------------------------------------------------------------------

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