A. Nastia and Nearly Good Numbers

傳送門

Nastia has 2 positive integers A and B. She defines that:

The integer is good if it is divisible by A⋅B;

Otherwise, the integer is nearly good, if it is divisible by A.

For example, if A=6 and B=4, the integers 24 and 72 are good, the integers 6, 660 and 12 are nearly good, the integers 16, 7 are neither good nor nearly good.

Find 3 different positive integers x, y, and z such that exactly one of them is good and the other 2 are nearly good, and x+y=z.

Input

The first line contains a single integer t (1≤t≤10000) — the number of test cases.

The first line of each test case contains two integers A and B (1≤A≤106, 1≤B≤106) — numbers that Nastia has.

Output

For each test case print:

“YES” and 3 different positive integers x, y, and z (1≤x,y,z≤1018) such that exactly one of them is good and the other 2 are nearly good, and x+y=z.

“NO” if no answer exists.

You can print each character of “YES” or “NO” in any case.

If there are multiple answers, print any.

#include <bits/stdc++.h>
using namespace std;
#define ll long long

int main()
{
	int t;
	cin>>t;
	while(t--)
	{
		ll a,b;
		cin>>a>>b;
		ll k = b;
		if(b == 1)
		{
			printf("NO\n");
		}
		else
		{
			printf("YES\n");
			ll k2 = b+1,k3 = b+1;
			printf("%lld %lld %lld\n",a*(b+1),a*(b-1),2*b*a);
		}
	}
}