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:
'''

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'''

#print("Hello World")
t=int(input())

for _ in range(0,t):
    li=list(map(int,input().split(" ")))
    mx=max(li)
    mn=min(li)
    lis=li[:]
    lis.remove(mx)
    mxx=max(lis)
    count=0
    for x in li:
        if(mx==x):
            count+=1
    count1=0
    for x in li:
        if x==mn:
            count1+=1
    if(count==2):
        print("YES")
        if (li[0]==li[1] or li[1]==li[2]):
            mxx=min(lis)
            print(mx,end=" ")
            print(mxx,end=" ")
            print(mxx)
        else:
            mxx=min(lis)
            print(mx,end=" ")
            print(mxx,end=" ")
            if mxx==1:
                print(mxx)
            else:
                print(mxx-1)
           
    elif (count==3):
        print("YES")
        for x in li:
            print(x,end=" ")
        print(" ")
    
    else:
        print("NO")