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:
from sys import stdin,stdout                           #
import math                                            #
import heapq                                           #
                                                       #
t = 1                                                  #
def aint():                                            #
	return int(input().strip())                        #
def lint():                                            #
	return list(map(int,input().split()))              #
def fint():                                            #
	return list(map(int,stdin.readline().split()))     #
                                                       #	
########################################################

def main():
	l=lint()
	l.sort()
	if l[1]!=l[2]:
		print("NO")
	elif l[0]==l[1]:
		print("YES")
		print(*l)
	else:
		print("YES")
		print(1,l[0],l[2])

	#code here
	return

t=int(input())

########################################################
for i in range(t):                                     #
	#print("Case #"+str(i+1)+":",end=" ")		       #
	main()                                             #