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())
for i in range(T):
    l1=[]
    l=list(map(int,input().split(" ")))
    x=l[0]
    y=l[1]
    z=l[2]
    d=len(list(set(l)))
    e=list(set(l))
    if(d==3):
        print("NO")
    elif(d==1):
        print("YES")
        print(x,y,z)
    elif(d==2):
        a=max(e)
        b=min(e)
        c=min(e)-1
        if(c==0):
            c=1
        elif(a==0):
            a=1
        elif(b==0):
            b=1
        l1.append(max(a,b))
        l1.append(max(a,c))
        l1.append(max(b,c))
        l.sort()
        l1.sort()
        if(l==l1):
            print("YES")
            print(a,b,c)
        else:
            print("NO")