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:
# input = open('file.txt').readline

def check( x , y , z , a , b , c ):

  if x == max( a , b ) and y == max( a , c ) and z == max( b , c ):
    return True
  else:
    return False

for _ in range( int(input()) ):

  x , y , z = map( int , input().strip().split(" ") )

  aa = [ x  , y ]
  bb = [ x , z ]
  cc = [ y , z ]

  #
  a , b , c = x , x , y

  if check( x , y , z , a , b , c ):
    print('YES')
    print(a , b , c)
    continue
  
  a , b , c = x , z , y

  if check( x , y , z , a , b , c ):
    print('YES')
    print(a , b , c)
    continue

  a , b , c = x , x , z

  if check( x , y , z , a , b , c ):
    print('YES')
    print(a , b , c)
    continue

  a , b , c = x , z , z


  if check( x , y , z , a , b , c ):
    print('YES')
    print(a , b , c)
    continue

  
  ##
  a , b , c = y , x , y

  if check( x , y , z , a , b , c ):
    print('YES')
    print(a , b , c)
    continue
  
  a , b , c = y , z , y

  if check( x , y , z , a , b , c ):
    print('YES')
    print(a , b , c)
    continue

  a , b , c = y , x , z

  if check( x , y , z , a , b , c ):
    print('YES')
    print(a , b , c)
    continue

  a , b , c = y , z , z

  if check( x , y , z , a , b , c ):
    print('YES')
    print(a , b , c)
    continue

  else:
    print('NO')