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 sys
import random
from fractions import Fraction
from math import *
 
def input():
    return sys.stdin.readline().strip()
 
def iinput():
    return int(input())

def finput():
    return float(input())

def tinput():
    return input().split()

def linput():
    return list(input())
 
def rinput():
    return map(int, tinput())

def fiinput():
    return map(float, tinput())
 
def rlinput():
    return list(map(int, input().split()))
def trinput():
    return tuple(rinput())

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

def NOYES(fl):
    if fl:
        print("NO")
    else:
        print("YES")
def YESNO(fl):
    if fl:
        print("YES")
    else:
        print("NO")
    
def main():  
    #n = iinput()
    #k = iinput() 
    #m = iinput() 
    #n = int(sys.stdin.readline().strip()) 
    #n, k = rinput()
    #n, m = rinput()
    #m, k = rinput()
    #n, k, m = rinput()
    #n, m, k = rinput()
    #k, n, m = rinput()
    #k, m, n = rinput() 
    #m, k, n = rinput()
    #m, n, k = rinput()
    #q = srlinput()
    #q = linput()
    q = rlinput()
    if q.count(max(q)) == 1:
        print("NO")
        
    else:
        print("YES")
        if q[0] == max(q):
            q[0] = min(q)
        elif q[1] == max(q):
            q[1] = min(q)
        else:
            q[2] = min(q)
        
        print(q[0], q[1], q[2])
            
            
    
        
    

for i in range(iinput()):
    main()