Maximum Multiple

Maximum Multiple

Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1576    Accepted Submission(s): 677

Problem Description

Given an integer n, Chiaki would like to find three positive integers x, y and z such that: n=x+y+z, x∣n, y∣n, z∣n and xyz is maximum.

 

 

Input

There are multiple test cases. The first line of input contains an integer T (1≤T≤106), indicating the number of test cases. For each test case:
The first line contains an integer n (1≤n≤106).

 

 

Output

For each test case, output an integer denoting the maximum xyz. If there no such integers, output −1 instead.

 

 

Sample Input

3

1

2

3

 

 

Sample Output

-1

-1

1

 

 

Source

2018 Multi-University Training Contest 1

 

#include <iostream>

using namespace std;

int main(){
    int t;
    long long int n;
    scanf("%d",&t);
    while(t--){
        scanf("%lld",&n);
        if(n%3==0){
            printf("%lld\n",n*n*n/27);
        }else if(n%4==0){
            printf("%lld\n",n*n*n/32);
        }else{
            puts("-1");
        }
    }
    return 0;
}