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())):
    lst = list(map(int,input().split()))
    copy = lst
    lst = list(set(lst))
    if(len(lst)==1):
        print("YES")
        for i in range(3):
            print(lst[0],end=" ")
        print()
    elif(len(lst)==2):
        a = -1
        b = -1
        c = -1
        if(copy[0]==copy[1]):
            a = copy[0]
            if(copy[2]>a):
                print("NO")
            else:
                print("YES")
                print(max(copy), end=" ")
                print(min(copy), end=" ")
                print(min(copy))
        elif(copy[0]==copy[2]):
            b = copy[0]
            if(copy[1]<=copy[0]):
                print("YES")
                print(max(copy),end=" ")
                print(min(copy),end=" ")
                print(min(copy))
            else:
                print("NO")
        elif(copy[1]==copy[2]):
            c = copy[1]
            if(copy[0]<=c):
                print("YES")
                print(min(copy),end=" ")
                print(min(copy),end=" ")
                print(max(copy))
            else:
                print("NO")
    elif(len(lst)==3):
        print("NO")