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:
test_case=int(input())
for i in range(test_case):
    values=list(map(int,input().split(' ')))
    if(values[0]==values[1]==values[2]):
        print("YES")
        print(values[0],values[1],values[2])
    else:
        if(values[0]==values[2]):
            a=values[0]
            b=values[1]
            c=b
            if(max(a,b)==values[0] and max(b,c)==values[1] and max(c,a)==values[2]):
                print("YES")
                print(a,b,c)
            else:
                print("NO")
        elif(values[0]==values[1]):
            c=values[2]
            b=values[0]
            a=c
            if(max(a,b)==values[0] and max(b,c)==values[1] and max(c,a)==values[2]):
                print("YES")
                print(str(a)+" "+str(b)+" "+str(c))
            else:
                print("NO")
        else:
            c=values[1]
            a=values[0]
            b=a
            if(max(a,b)==values[0] and max(b,c)==values[1] and max(c,a)==values[2]):
                print("YES")
                print(str(a)+" "+str(b)+" "+str(c))
            else:
                print("NO")