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 PYTHON):

Solution:
FAST_IO = 0
if FAST_IO:
    import io, sys, atexit
    rr = iter(sys.stdin.read().splitlines()).next
    sys.stdout = _OUTPUT_BUFFER = io.BytesIO()

    @atexit.register
    def write():
        sys.__stdout__.write(_OUTPUT_BUFFER.getvalue())
else:
    rr = raw_input
rri = lambda: int(rr())
rrm = lambda: map(int, rr().split())
rrmm = lambda n: [rrm() for _ in xrange(n)]

####
MOD = 10**9 + 7
YES, NO = "YES", "NO"
from collections import defaultdict as ddic


def solve(X, Y, Z):
    # x=max(a,b), y=max(a,c) and z=max(b,c)
    # say z is small, so b = c = small, a = big
    # say y is small, a = c = small, b
    if X == Y == Z: return X, X, X
    vals = sorted({X, Y, Z})
    if len(vals) != 2: return False
    small, big = vals
    if [X, Y, Z].count(big) != 2:
        return False

    A = B = C = big
    if X == small:
        A = B = small
    elif Y == small:
        A = C = small
    else:
        B = C = small
    return A, B, C


for TC in xrange(rri()):
    ans = solve(*rrm())
    if ans is False:
        print NO
    else:
        print YES
        print "{} {} {}".format(*ans)