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


#def solve(a,b,c,d):
def solve(x,y,z):
    srtd = sorted([(x,0),(y,1),(z,2)])
    xyz = sorted([x,y,z])
    if len(set(xyz)) == 3:
        return None
    
    if x == y and x == z:
        abc = [x,x,x]
    # otherwise two are the same
    elif min(xyz) == xyz[1]: # biggest alone
        return None
    else: #smallest alone
        return [xyz[0],xyz[0],xyz[2]]
    '''
    xyz = [x,y,z]
    if max(xyz) == x:
        if x == y:
            a = x
            b = z if
            b = z if
            c = x-1
        else:
            b = x
    elif max(xyz) == y:
        if x < y:
            a = 
            

    else: # z max
        if x < z:
    '''
    #print( srtd)
    return sorted(abc)


if __name__ == '__main__':
    IN = [x.strip() for x in sys.stdin.readlines()]

    T = int(IN[0])
    cur = 0
    for ti in range(T):
        #a = int(IN[cur])
        #a = [int(x) for x in IN[cur].split(' ')]
        x,y,z = [int(x) for x in IN[cur+1].split(' ')]
        res = solve(x,y,z)
        if res == None:
            print('NO')
        else:
            print('YES')
            print(' '.join([str(x) for x in res]))
        #print(' '.join([str(a) for a in result]))
        cur += 1