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())):
    l = list(map(int,input().split(' ')))
    x = l[0]
    y = l[1]
    z = l[2]
    # x = max(a,b) y = max(a,c) z = max(b,c)
    #if x = a 
    a,b,c = x,0,0
    isValid = 1
    if(y == a):
        #c <= a and b <= a
        if(z > a):
            isValid = 0
        else:
            isValid = 1
            if(z == a):
                b = a
                c = a
            else:
                b = z
                c = z
    elif(y > a):
        # c > a and b <= a
        c = y
        if(z == c):
            isValid = 1
            b = a
        else:
            isValid = 0
    else:
        isValid = 0
        
    if(isValid == 0):
        # x = max(a,b) y = max(a,c) z = max(b,c)
        # b = x
        a,b,c = 0,x,0
        # a <= b
        if(z == b):
            #c <= b and a <= b
            if(y > b):
                isValid = 0
            else:
                isValid = 1
                if(y == b):
                    a = b
                    c = b
                else:
                    a = y
                    c = y
        elif(z > b):
            # a <= b and c > b
            c = z
            if(y == c):
                isValid = 1
                a = b
            else:
                isValid = 0

    if(isValid == 1):
        print("YES")
        print(a,b,c)
    else:
        print("NO")