0101

class CodeVector:
    def __init__(self, symbols: list[int]) -> None:
        self.positionsList: list[int] = symbols

    def __str__(self) -> str:
        return "".join(list(map(str, self.positionsList)))


def sum_code_vectors(v1: CodeVector, v2: CodeVector) -> CodeVector:
    if len(str(v1)) != len(str(v2)):
        raise Exception("Нельзя складывать разной длины")

    result_symbols: list[int] = []
    for i in range(len(str(v1))):
        symbol_1 = int(str(v1)[i])
        symbol_2 = int(str(v2)[i])

        res_symb = sum_symbols(symbol_1, symbol_2)
        result_symbols.append(res_symb)

    return CodeVector(symbols=result_symbols)

def sum_symbols(s1: int, s2: int) -> int:
    return (s1 + s2) % 2

def string_to_code_vector(s: str) -> CodeVector:
    symbs: list[int] = []
    for c in s:
        if c not in ['0', '1']:
            raise Exception("Нельзя")
        symb = int(c)
        symbs.append(symb)

    return CodeVector(symbols=symbs)

def number_to_code_vector(n: int, leng: int) -> CodeVector:
    b = bin(n)[2:]
    if len(str(b)) < leng:
        b = "".join(['0' for i in range(leng - len(str(b)))]) + b
    return string_to_code_vector(s = b)

def ntcv(n: int, leng: int = 4) -> CodeVector:
    return number_to_code_vector(n=n, leng=leng)

def sum_list_of_vectors(vectors: list[CodeVector]) -> CodeVector:
    summ: CodeVector = vectors[0]
    for i in range(1, len(vectors)):
        summ = sum_code_vectors(summ, vectors[i])

    return summ

codes = list(map(ntcv, [2, 4, 5, 9, 12, 13, 14]))
print(sum_list_of_vectors(codes))