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:
cases = int(input())

for i in range(cases):
    l1 = input().split(' ')
    x = int(l1[0])
    y = int(l1[1])
    z = int(l1[2])

    #if x == y, a = x, b = z, c <a and c<z
    #if x>y, then b>c, z == b, a<z, c<=a
    #if x<y, then c>b, z == c, a<c
    pos = False
    if x == y == z:
        print ("YES")
        print (x,y,z)
    else:
        if x == y:
            if z >x:
                print ("NO")
            else:
                if x-1<=0:
                    print("NO")
                else:
                    b = c = z
                    print("YES")
                    print(x,b,c)
        if x>y:
            if z != x:
                print ("NO")
            else:
                b = z
                if b-1>0:
                    print ("YES")
                    a = c = y
                    print (a,b,c)
                else:
                    print("NO")
        if x<y:
            if z != y:
                print ("NO")
            else:
                c = y = z
                if c-1>0:
                    print("YES")
                    print(x,x,c)
                else:
                    print("NO")