Problem: You are storing an integer array of length m in a database. To maintain internal integrity and protect data, the database stores n copies of this array.

Unfortunately, the recent incident may have altered the stored information in every copy in the database.

It's believed, that the incident altered at most two elements in every copy. You need to recover the original array based on the current state of the database.

In case there are multiple ways to restore the array, report any. If there is no array that differs from every copy in no more than two positions, report that as well.

Input

The first line contains integers n and m (2 ≤ n; 1 ≤ m; n ⋅ m ≤ 250 000) — the number of copies and the size of the array.

Each of the following n lines describes one of the currently stored copies in the database, it consists of m integers s_{i, 1}, s_{i, 2}, ..., s_{i, m} (1 ≤ s_{i, j} ≤ 10^9).

Output

If there is an array consistent with all given copies, print "Yes" and then the array itself. The array must have length m and contain integers between 1 and 10^9 only.

Otherwise, print "No".

If there are multiple possible arrays, print any of them.

Examples

Input


3 4
1 10 10 100
1 1 1 100
10 100 1 100


Output


Yes
1 10 1 100


Input


10 7
1 1 1 1 1 1 1
1 1 1 1 1 1 2
1 1 1 1 1 2 2
1 1 1 1 2 2 1
1 1 1 2 2 1 1
1 1 2 2 1 1 1
1 2 2 1 1 1 1
2 2 1 1 1 1 1
2 1 1 1 1 1 1
1 1 1 1 1 1 1


Output


Yes
1 1 1 1 1 1 1


Input


2 5
2 2 1 1 1
1 1 2 2 2


Output


No

Note

In the first example, the array [1, 10, 1, 100] differs from first and second copies in just one position, and from the third copy in two positions.

In the second example, array [1, 1, 1, 1, 1, 1, 1] is the same as the first copy and differs from all other copies in at most two positions.

In the third example, there is no array differing in at most two positions from every database's copy.

Solution (in PYTHON3):

Solution:
from collections import deque
from typing import List, Optional


class ContestParser:
    """Helper module to read/write

    Commonly in programming competition input for a problem is given with space separated numbers and strings.
    Standard python input() functionality is clunky when dealing with such input. This parser can tokenize inputs and convert them to proper types.
    """

    def __init__(self):
        self.buffer = deque()

    def next_token(self) -> str:
        if len(self.buffer) == 0:
            self.buffer.extend(input().split())
        return self.buffer.popleft()

    def next_int(self) -> int:
        return int(self.next_token())

    def get_int_list(self, n: int) -> List[int]:
        return [self.next_int() for i in range(n)]


def find_diffs(a1: List[int], a2: List[int]) -> List[int]:
    return [i for i, (e1, e2) in enumerate(zip(a1, a2)) if e1 != e2]


def attempt(arrays: List[List[int]], guess: List[int], changes_left: int, max_changes: int) -> Optional[List[int]]:
    for array in arrays:
        diffs = find_diffs(guess, array)
        if len(diffs) <= max_changes:
            continue
        if len(diffs) > max_changes + changes_left:
            return None
        for d in diffs:
            new_guess = guess.copy()
            new_guess[d] = array[d]
            result = attempt(arrays, new_guess, changes_left - 1, max_changes)
            if result is not None:
                return result
        return None
    return guess


if __name__ == '__main__':
    parser = ContestParser()
    n = parser.next_int()
    m = parser.next_int()
    arrays = [parser.get_int_list(m) for i in range(n)]
    result = attempt(arrays, arrays[0], 2, 2)
    if result is not None:
        print("Yes")
        print(" ".join((str(x) for x in result)))
    else:
        print("No")