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:
from sys import stdin,stdout
from itertools import combinations
from collections import defaultdict,Counter
import math
 
def listIn():
    return list((map(int,stdin.readline().strip().split())))
 
def stringListIn():
    return([x for x in stdin.readline().split()])
    
def intIn():
    return (int(stdin.readline()))
 
def stringIn():
    return (stdin.readline().strip())
    
 
if __name__=="__main__":
    t=intIn()
    while(t>0):
        t-=1
        x,y,z=listIn()
        if x!=y and y!=z and x!=z:
            print("NO")
        else:
            if x==y and y==z:
                print("YES")
                print(x,y,z)
            else:
                if x==z:
                    if y<x:
                        print("YES")
                        print(y,x,y)
                    else:
                        print("NO")
                elif x==y:
                    if z<x:
                        print("YES")
                        print(x,z,z)
                    else:
                        print("NO")
                else:#y==z
                    if x<y:
                        print("YES")
                        print(x,x,y)
                    else:
                        print("NO")