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 j in range(t):
    temp = input()
    x, y, z = temp.split(' ')
    x = int(x)
    y = int(y)
    z = int(z)
    count=0
    maxnum = max(max(x, y), z)
    minnum = min(min(x, y), z)
    cmax=0
    cmin=0
    # count maxnum
    if x==maxnum:
        cmax+=1
    elif x==minnum:
        cmin+=1
    if y==maxnum:
        cmax+=1
    elif y==minnum:
        cmin+=1
    if z==maxnum:
        cmax+=1
    elif z == minnum:
        cmin += 1

    if cmax>=2 :
        print("YES")
        print(minnum, minnum, maxnum)
    else:
        print("NO")