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:
def maths(m, n, o):
    if len({m, n, o}) == 3:
        print('NO')
    elif m == n == o:
        a = b = c = m
        print("YES")
        print(a, b, c)
    elif m == o:
        b = m
        if n > b:
            print("NO")
        else:
            a = n
            if a - 1 < 1:
                c = a
            else:
                c = a - 1
            print("YES")
            print(a, b, c)
    elif m == n:
        a = m
        if o > a:
            print("NO")
        else:
            b = o
            if b - 1 < 1:
                c = b
            else:
                c = b - 1
            print("YES")
            print(a, b, c)
    elif n == o:
        c = n
        if m > c:
            print("NO")
        else:
            a = m
            if a - 1 < 1:
                b = a
            else:
                b = a - 1
            print("YES")
            print(a, b, c)


testCases = int(input())
x_s = []
y_s = []
z_s = []

for _ in range(testCases):
    x, y, z = map(int, input().split())
    x_s.append(x)
    y_s.append(y)
    z_s.append(z)

for i in range(testCases):
    maths(x_s[i], y_s[i], z_s[i])