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:
t = int(input())
resp = list()
number = list()

for i in range(0,t):
    string = input().split()
    a = [0] * 3
    maior = -1
    c1 = 0

    for j in range(0,3):
        a[j] = int(string[j])

    a = sorted(a,reverse=True)

    for j in range(0,3):    
        if a[j] >= maior:
            c1 += 1
            maior = a[j]

    if c1 >= 2:
        resp.append('YES')

        if c1 == 3:
            number.append(maior)
            number.append(maior)
            number.append(maior)

        else:
            j = 0
            aux = a[j]

            while aux == maior:
                j += 1
                aux = a[j]

            number.append(aux)
            number.append(aux)
            number.append(maior)    

    else:
        resp.append('NO')            

cont = "".join(resp[:])
tam = len(cont)
k = 0

for i in range(0,t):
    print(resp[i])

    if resp[i] == 'YES':
        for j in range(k,k+3):
            print(number[j], end = ' ')
            k += 1  

        print()