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:
# Coding is about expressing your feeling and there is always a better way to express your feeling _feelme
import sys,math
# sys.stdin,sys.stdout=open('input.txt','r'),open('output.txt','w')
from sys import stdin,stdout;mod=int(1e9 + 7)
from collections import deque,defaultdict;from copy import deepcopy;from math import ceil,floor,inf,sqrt,factorial,gcd,log2
ii1=lambda:int(stdin.readline().strip())
is1=lambda:stdin.readline().strip()
iia=lambda:list(map(int,stdin.readline().strip().split()))
isa=lambda:stdin.readline().strip().split()
# print('{:.3f}'.format(1),round(1.123456789,4))
# np.set_printoptions(sign=' ',legacy='1.13') # legacy add space at sign positoin


for _ in range(ii1()):
    arr=iia()
    arr.sort()
    x,y,z=arr[0],arr[1],arr[2]
    if x==y==z:
        print('YES')
        print(x,y,z)
    elif x!=y and y==z:
        print('YES')
        print(x,x,y)
    elif x!=y and y!=z and x!=z:
        print("NO")
    elif x==y and y!=z:
        print('NO')
    else:
        print('NO')