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
import sys
from sys import *
from bisect import insort
import heapq
import collections
from collections import deque, defaultdict, Counter
from itertools import permutations, combinations, combinations_with_replacement
import random
import os

mod = 10**9+7 #1000000007
MAX = sys.maxsize #maximum size
MIN = -sys.maxsize-1 #minimum size

#----------Check Prime numbers----------------
def isPrime(n):
    if n>1:
        for i in range(2,n):
            if (n%i) == 0:
                return False
        else:
            return True
    else:
        return False
#----------Check Panagram-----------------------
def isPanagram(s):
    alphabet = 'abcdefghijklmnopqrstuvwxyz'
    for char in alphabet:
        if char not in s.lower():
            return False
    return True

#----------List with same elements--------------
def isEqual(list1):
    if len(list1)<0:
        res = True
    res = all(ele == list1[0] for ele in list1)
    if(res):
        return True
    else:
        return False

#-----Removing duplicate elements from a list---
def remove_duplicate(list1):
    final_list = []
    for i in list1:
        if i not in final_list:
            final_list.append(i)
    return final_list%mod

#-----------------Solve it----------------------
def solve():
    lis = list(map(int, input().split()))
    if isEqual(lis):
        print('YES')
        print(*lis)
    else:
        lis.sort()
        if lis[1]==lis[2]:
            print('YES')
            print(str(lis[2])+' '+str(lis[0])+' '+str(lis[0]))
        else:
            print('NO')
        
#------------------Main-------------------------
if __name__ == '__main__':
    t = int(stdin.readline())
    for i in range (t):
        result = solve()
        #stdout.write(str(result)+'\n')