Problem: Overlooking the captivating blend of myriads of vernal hues, Arkady the painter lays out a long, long canvas.

Arkady has a sufficiently large amount of paint of three colours: cyan, magenta, and yellow. On the one-dimensional canvas split into n consecutive segments, each segment needs to be painted in one of the colours.

Arkady has already painted some (possibly none or all) segments and passes the paintbrush to you. You are to determine whether there are at least two ways of colouring all the unpainted segments so that no two adjacent segments are of the same colour. Two ways are considered different if and only if a segment is painted in different colours in them.

Input

The first line contains a single positive integer n (1 ≤ n ≤ 100) — the length of the canvas.

The second line contains a string s of n characters, the i-th of which is either 'C' (denoting a segment painted in cyan), 'M' (denoting one painted in magenta), 'Y' (one painted in yellow), or '?' (an unpainted one).

Output

If there are at least two different ways of painting, output "Yes"; otherwise output "No" (both without quotes).

You can print each character in any case (upper or lower).

Examples

Input

5
CY??Y


Output

Yes


Input

5
C?C?Y


Output

Yes


Input

5
?CYC?


Output

Yes


Input

5
C??MM


Output

No


Input

3
MMY


Output

No

Note

For the first example, there are exactly two different ways of colouring: CYCMY and CYMCY.

For the second example, there are also exactly two different ways of colouring: CMCMY and CYCMY.

For the third example, there are four ways of colouring: MCYCM, MCYCY, YCYCM, and YCYCY.

For the fourth example, no matter how the unpainted segments are coloured, the existing magenta segments will prevent the painting from satisfying the requirements. The similar is true for the fifth example.

Solution (in PYTHON3):

Solution:
"""
Usage:
    python solution.py < input.txt > solution_output.txt

Testing:
    pytest test_solution.py

Submit:
    Just copy and paste all the code or upload the whole file
"""
from itertools import product


def get_input_list() -> str:
    """
    Loops throw the stdio to fetch input data
    Generally used on problems with 'n' inputs

    Returns:
        raw_input_data: The input of a problem
    """
    canvas_lenght = input()
    canvas_caracters = input()
        
    return canvas_lenght, canvas_caracters
    

def get_input() -> str:
    """
    Fetch input data from stdio
    Generally used on problems with discrete inputs
    Returns:
        raw_input_data: The input of a problem
    """
    raw_input_data = ""
    raw_input_data += input()
    return raw_input_data


def solve(raw_input_data: str):
    """
    Here you solve the problem, happy coding!!
    Args:
        raw_input_data: the data you test the solution

    Returns:
        answer: the solution of the problem
    """
    chars, word = raw_input_data
    chars = int(chars)

    yes = False
    
    if word[0] == '?' or word[-1] == '?':
        yes = True

    for i in range(1, chars):
        if word[i] != '?' and word[i] == word[i - 1]:
            return 'No'
        elif word[i] == '?':
            if i + 1 < chars and word[i - 1] == word[i + 1]:
                yes = True
            elif word[i - 1] == '?':
                yes = True
            elif i + 1 < chars and word[i + 1] == '?':
                yes = True
    if yes:
        return 'Yes'
    return 'No'
        

if __name__ == "__main__":
    
    while True:
        try:
            # Use this with simple inputs
            # input_data = get_input()
            
            # Use this with the problem have many inputs
            input_data = get_input_list()
            
            answer = solve(input_data)
            print(answer, end="\n")
        except:
            break