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 datetime
import collections
import statistics
import itertools


def is_prime(num):
    for i in range(2, int(math.sqrt(num)) + 1):
        if num % i == 0:
            return False
    return True


def input_list():
    ll = list(map(int, input().split(" ")))
    return ll



tc = int(input())
for _ in range(tc):
    x,y,z = map(int,input().split())
    a,b,c = -1,-1,-1
    fl = False
    if x == y == z:
        print("YES")
        a,b,c = x,y,z
        fl = True
    elif x == y and x >z:
        print("YES")
        a,b,c = x,z,1
        fl = True
    elif x == z and x > y:
        print("YES")
        a,b,c = x,y,1
        fl = True
    elif y == z and y > x:
        print("YES")
        a,b,c = y,x,1
        fl = True
    if fl:
        print(a,b,c)
    else:
        print("NO")