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:
import math, sys
from collections import defaultdict, Counter, deque

INF = float('inf')
MOD = 1000000007

def gcd(a, b):
	while b:
		a, b = b, a%b
	return a

def isPrime(n):
	if (n <= 1): 
		return False
	i = 2
	while i ** 2 <= n:
		if n % i == 0:
			return False
		i += 1
	return True

def primeFactors(n):
	factors = []
	i = 2
	while i ** 2 <= n:
		while n % i == 0:
			factors.append(i)
			n //= i 
		i += 1
	if n > 1:
		factors.append(n)
	return factors

def vars():
	return map(int, input().split())

def array():
	return list(map(int, input().split()))

ans = 0

def dfs(visited, node, digits, tree):
	if not visited[node]:
		visited[node] = True
		digits += str(node)
		leafNode = True
		
		for child in tree[node]:
			leafNode = False
			dfs(visited, child, digits, tree)
			
		if leafNode:
			global ans
			ans += int(digits)


def main():
	x, y, z = vars()
	if x == y == z:
		print('YES')
		print(x, x, x) 
	elif x == y and x > z:
		print('YES')
		print(x, z, z)
	elif y == z and y > x:
		print('YES')
		print(x, x, y)
	elif x == z and x > y:
		print("YES")
		print(y, x, y)
	else:
		print("NO") 

if __name__ == "__main__":
	t = int(input())
	# t = 1
	for _ in range(t):
		main()