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())
while t>0:
    t-=1
    x,y,z = map(int,input().strip().split(" "))
    
    a = [x,y]
    b = [x,z]
    c = [y,z]
    ans = []
    
    found = False
    for i in a:
        for j in b:
            for k in c:
                x1 = max(i,j)
                x2 = max(i,k)
                x3 = max(j,k)
                
                if x1==x and x2==y and x3==z:
                    found = True
                    ans.append([i,j,k])
    if found:
        print("YES")
        print(ans[0][0],ans[0][1],ans[0][2])
    else:
        print("NO")