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:
    x, y, z = list(map(int, input().split()))
    m = max(x, y, z)
    if x == y and y == z:
        a = x
        b = y
        c = y
        print('YES')
        print(a, end = ' ')
        print(b, end = ' ')
        print(c)
    elif x != y and y != z and z != x:
        print('NO')
    elif m == x and x != y and x != z and y == z:
        print('NO')
    elif m == x and x == y:
        a = x
        b = z
        c = z
        print('YES')
        print(a, end = ' ')
        print(b, end = ' ')
        print(c)
    elif m == x and x == z:
        b = x
        a = y
        c = y
        print('YES')
        print(a, end = ' ')
        print(b, end = ' ')
        print(c)
    elif m == y and y != x and y != z:
        print('NO')
    elif m == y and y == x:
        a = y
        b = z
        c = z
        print('YES')
        print(a, end = ' ')
        print(b, end = ' ')
        print(c)
    elif m == y and y == z:
        c = y
        a = x
        b = x
        print('YES')
        print(a, end = ' ')
        print(b, end = ' ')
        print(c)
    elif m == z and z != x and z != y:
        print('NO')
    elif m ==  z and z == x:
        b = z
        a = y
        c = y
        print('YES')
        print(a, end = ' ')
        print(b, end = ' ')
        print(c)
    elif m == z and z == y:
        c = y
        a = x
        b = x
        print('YES')
        print(a, end = ' ')
        print(b, end = ' ')
        print(c)
    t -= 1