Problem: You are given three positive (i.e. strictly greater than zero) integers x, y and z.

Your task is to find positive integers a, b and c such that x = max(a, b), y = max(a, c) and z = max(b, c), or determine that it is impossible to find such a, b and c.

You have to answer t independent test cases. Print required a, b and c in any (arbitrary) order.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 2 ⋅ 10^4) — the number of test cases. Then t test cases follow.

The only line of the test case contains three integers x, y, and z (1 ≤ x, y, z ≤ 10^9).

Output

For each test case, print the answer:

  * "NO" in the only line of the output if a solution doesn't exist; 
  * or "YES" in the first line and any valid triple of positive integers a, b and c (1 ≤ a, b, c ≤ 10^9) in the second line. You can print a, b and c in any order. 

Example

Input


5
3 2 3
100 100 100
50 49 49
10 30 20
1 1000000000 1000000000


Output


YES
3 2 1
YES
100 100 100
NO
NO
YES
1 1 1000000000

Solution (in PYTHON3):

Solution:
for _ in range(int(input())):
	x,y,z=map(int,input().split())
	if x==y and x==z and y==z :
		print("YES")
		print(x,y,z)
		
	elif x!=y and x!=z and y!=z :
		print("NO")
	
	else :
		lis=[x,y,z]
		mx=max(lis)
		m=0
		mn=min(lis)
		mi=0
		for i in lis :
			if i==mx :
				m+=1
			elif i==mn :
				mi+=1		
		if m==2:
			print("YES")
			print(mx,mn,1)
		else :
			print("NO")