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:
def sol(a,b,c):
    if(max(a,b)==x and max(a,c)==y and max(b,c)==z):
        return 1;
    else:
        return 0;
r=int(input())
for i in range(r):
    x,y,z=map(int,input().split())
    t=[x,y,z]
    if(len(set(t))==2):
        if(t.count(max(t))==1):
            print('NO')
            continue;
        else:
            print('YES')
            print(min(t),min(t),max(t))
            continue;
    a=x
    b=y
    c=z
    if(sol(a,b,c)):
        print('YES')
        print(a,b,c)
        continue;
    a=x
    b=z
    c=y
    if(sol(a,b,c)):
        print('YES')
        print(a,b,c)
        continue;
    a=y
    b=x
    c=z
    if(sol(a,b,c)):
        print('YES')
        print(a,b,c)
        continue;
    a=y
    b=z
    c=x
    if(sol(a,b,c)):
        print('YES')
        print(a,b,c)
        continue;
    a=z
    b=y
    c=x
    if(sol(a,b,c)):
        print('YES')
        print(a,b,c)
        continue;
    a=z
    b=x
    c=y
    if(sol(a,b,c)):
        print('YES')
        print(a,b,c)
        continue;
    print('NO')