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:
for _ in range(int(input())):
                             x,y,z=map(int,input().split())
                             l=[x,y,z]
                             k=l.copy()
                             k.sort()
                             
                             if len(set(l))<3:
                                          if len(set(l))==1:print("YES");print(*l)
                                          else:
                                               if k[1]>k[0]:
                                                            if l[0]>l[1]:
                                                                         print("YES")
                                                                         print(max(l),min(l),1)
                                                            else:
                                                                         print("YES")                        
                                                                         print(min(l),min(l),max(l))                        
                                               else:print("NO")                                     
                                                                                    
                                                                                    
                             else:print("NO")