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 math
import bisect
from sys import stdin, stdout
from math import gcd, floor, sqrt, log
from collections import defaultdict as dd
from bisect import bisect_left as bl, bisect_right as br
from collections import Counter

#sys.setrecursionlimit(100000000)

inp = lambda: int(input())
strng = lambda: input().strip()
jn = lambda x, l: x.join(map(str, l))
strl = lambda: list(input().strip())
mul = lambda: map(int, input().strip().split())
mulf = lambda: map(float, input().strip().split())
seq = lambda: list(map(int, input().strip().split()))

ceil = lambda x: int(x) if (x == int(x)) else int(x) + 1
ceildiv = lambda x, d: x // d if (x % d == 0) else x // d + 1

flush = lambda: stdout.flush()
stdstr = lambda: stdin.readline()
stdint = lambda: int(stdin.readline())
stdpr = lambda x: stdout.write(str(x))
stdarr = lambda: map(int, stdstr().split())

mod = 1000000007


for _ in range(stdint()):
    s = list(stdarr())
    s = sorted(s)

    if(s[1] != s[2]):
        print("NO")
    else:
        print("YES")
        print(max(s), min(s), min(s))