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:
if __name__ == "__main__":
	t = int(input())
	for i in range(t):
		l = list(map(int, input().split()))
		x,y,z = l[0],l[1],l[2]
		if x!=y and x!=z and y!=z:
			print("NO")
			continue

		if x==y:
			if z<=x:
				a = x
				b = z
				c = max(b-1,1)
			else:
				print("NO")
				continue
		elif y==z:
			if x<=y:
				c = y
				a = x
				b = max(a-1,1)
			else:
				print("NO")
				continue
		elif x==z:
			if y<=x:
				b = x
				c = y
				a = max(c-1,1)
			else:
				print("NO")
				continue
		print("YES")
		print(a,b,c)