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
from functools import reduce
import bisect


def getN():
    return int(input())


def getNM():
    return map(int, input().split())


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


def input():
    return sys.stdin.readline().rstrip()


# input = sys.stdin.buffer.readline

def index(a, x):
    i = bisect.bisect_left(a, x)
    if i != len(a) and a[i] == x:
        return i
    return i


#############
# MAIN CODE #
#############

for i in range(int(input())):
    x, y, z = getNM()
    if x == y == z:
        print("YES")
        print(x, y, z)
        continue
    a, b, c = -1, -1, -1
    if len({x, y, z}):
        if x == y:
            a = x
            b = z
            c = 1
        if x == z:
            a = 1
            b = x
            c = y
        if y == z:
            a = x
            b = 1
            c = z
    if x == max(a, b) and y == max(a, c) and z == max(b, c):
        print("YES")
        print(a, b, c)
    else:
        print("NO")