A Simple Task

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

Problem Description

Given a positive integer n and the odd integer o and the nonnegative integer p such that n = o2^p.

Example

For n = 24, o = 3 and p = 3.

Task

Write a program which for each data set:

reads a positive integer n,

computes the odd integer o and the nonnegative integer p such that n = o2^p,

writes the result.

Input

The first line of the input contains exactly one positive integer d equal to the number of data sets, 1 <= d <= 10. The data sets follow.

Each data set consists of exactly one line containing exactly one integer n, 1 <= n <= 10^6.

Output

The output should consists of exactly d lines, one line for each data set.

Line i, 1 <= i <= d, corresponds to the i-th input and should contain two integers o and p separated by a single space such that n = o2^p.

Sample Input

1
24

Sample Output

3 3

Source

Central Europe 2001, Practice

一开始 常规暴力，怎么该都超时。百度了一下。教训是，数学一一般都有规律，或技巧可言。

#include<iostream>
#include<cmath>
using namespace std;
int main()
{
	int n,N;
	cin>>N;
	for(int k=0;k<N;k++)
	{
		cin>>n;int count=0;
		while(n%2==0)
		{
			count++;
			n/=2;
		}
		cout<<n<<" "<<count<<endl;
	}
	return 0;
}