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 os

is_dev = 'vscode' in os.environ

if is_dev:
    inF = open('in.txt', 'r')
    outF = open('out.txt', 'w')

def ins(r):
    return list(map(int, r.split(' ')))

def inputT():
    if is_dev:
        return inF.readline()
    else:
        return input()

def printT(data):
    if is_dev:
        return outF.write(data+'\n')
    else:
        return print(data)

    
# Main:
for _ in range(int(inputT())):
    x,y,z = ins(inputT())
    
    xyz = set([x,y,z])
    
    maxyz = max([x,y,z])
    how_many_equal_max = len([i for i in [x,y,z] if i == maxyz])
#     print(how_many_equal_max)
    if  how_many_equal_max >= 2:
        if x == y:
            a = x
            b = z
            c = z
        elif y == z:
            c = y
            b = x
            a = x
        else:
            b = x
            a = y
            c = y
        printT('YES')
        printT(f'{a} {b} {c}')
    else:
        printT('NO')
    
if is_dev:
    print(open('out.txt', 'r') == open('outactual.txt', 'r'))