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:
'''
read input boiler plate
'''
from sys import stdin, stdout
def read_input():
    lines = []
    for line in stdin:
        if 'exit' == line.lower().rstrip():
            break
        lines.append(line.rstrip())
    return lines

def write(s):
    stdout.write(s+'\n')

def finish():
    stdout.flush()


lines = read_input()
t = int(lines[0])

for case in range(1,t+1):
    x_n,y_n,z_n = map(int,lines[case].split())

    x = {'a','b'}
    y = {'a','c'}
    z = {'b','c'}

    a = min([x_n,y_n,z_n])
    b,c = a,a

    if x_n > y_n:
        x.remove('a')
        b = x_n
    if y_n > x_n:
        y.remove('a')
        c = y_n
    if x_n > z_n:
        x.remove('b')
        a = x_n
    if z_n > x_n:
        z.remove('b')
        c = z_n
    if y_n > z_n:
        y.remove('c')
        a = y_n
    if z_n > y_n:
        z.remove('c')
        b = z_n

    if len(x) == 0 or len(y) == 0 or len(z) == 0:
        write("NO")
    else:
        write("YES")
        write(str(a)+' '+str(b)+' '+str(c))
finish()