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:
# @author --> ajaymodi
# Naive approach
import sys
# sys.stdin=open("input.in","r")
# sys.stdout=open("output.out","w")

input=lambda : sys.stdin.readline().strip()
char = [chr(i) for i in range(97,123)]
CHAR = [chr(i) for i in range(65,91)]
mp = lambda:list(map(int,input().split()))
INT = lambda:int(input())
rn = lambda:range(INT())

from math import ceil,sqrt,factorial,gcd

for _ in rn():
	x,y,z = sorted(mp())
	if x==y==z:
		print("YES")
		print(x,y,z)
	elif x!=y and y==z:
		print("YES")
		if x==1:
			print(x,x,y)
		else:
			print(x-1,x,y)
	else:
		print("NO")