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())):
    data=[int(x) for x in input().split()]
    if(len(set(data))==3):
        print('NO')
    elif(len(set(data))==1):
        print('YES')
        print(data[0],data[0],data[0])
    else:
        large=max(data)
        large_count=data.count(large)
        if(large_count==1):
            print('NO')
        else:
            print('YES')
            for q in range(3):
                if(large!=data[q]):
                    pos=q
            ans=[0 for x in range(3)]
            ans[pos]=data[pos]
            ans[(pos+1)%3]=data[pos]
            for q in range(3):
                if(ans[q]==0):
                    ans[q]=large
            for q in ans:
                print(q,end=' ')
            print()