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())):
    j = list(map(int,input().split()))
    j.sort()
    a = 1
    b = max(j)
    c = min(j)
    e = max(a,b)
    f = max(c,a)
    g = max(b,c)
    h = [e,f,g]
    h.sort()
    if j[0] == j[1] == j[2]:
        print("YES")
        print(j[0],j[1],j[2])
    else:
        if (h[0] == j[0] and h[1] == j[1] and h[2] == j[2]):
            print("Yes")
            print(a, b, c)
        else:
            print("NO")