# (c) 2022 Exaloop Inc. All rights reserved.

def filter_overlaps(v: Generator[int], n: int) -> Generator[int]:
    prev = -1
    for pos in v:
        if prev < 0 or pos - prev >= n:
            prev = pos
            yield pos


def rfilter_overlaps(v: Generator[int], n: int) -> Generator[int]:
    prev = -1
    for pos in v:
        if prev < 0 or prev - pos >= n:
            prev = pos
            yield pos


def string_search_slow(text: str, pattern: str) -> Generator[int]:
    """
    Return a list containing the non-overlapping position of each index
    the pattern is found.
    """

    if pattern == "":
        for i in range(len(text) + 1):
            yield i
        return

    for i in range(len(text) - len(pattern) + 1):
        if text[i : i + len(pattern)] == pattern:
            yield i


def rstring_search_slow(text: str, pattern: str) -> Generator[int]:
    """
    Return a list containing the non-overlapping position of each index
    the pattern is found from right to left.
    """

    if pattern == "":
        for i in range(len(text), -1, -1):
            yield i
        return

    for i in range(len(text), len(pattern) - 1, -1):
        if text[i - len(pattern) : i] == pattern:
            yield i - len(pattern)


def string_search_rabin_karp(
    text: str, pattern: str, prime: int = 645419
) -> Generator[int]:
    """
    Return a list containing the position of each index
    the pattern is found.
    """
    BASE = 256

    # hash formula
    hash = 1
    for i in range(len(pattern) - 1):
        hash = (hash * BASE) % prime

    # calculate hash value of the pattern and the hash value of the
    # first section of text
    p, t = 0, 0
    for i in range(len(pattern)):
        p = (BASE * p + ord(pattern[i])) % prime
        t = (BASE * t + ord(text[i])) % prime

    # shift pattern over text one bye one
    for i in range(len(text) - len(pattern)):
        # check the hash values of current position of text and
        # pattern if the hash values are equal then compare
        # characters one by one
        if p == t and text[i : i + len(pattern)] == pattern:
            yield i

        # calculate hash value for next position of text.
        # the leading digit is removed while trailing digit is added
        t = BASE * (t - (ord(text[i]) * hash) % prime + prime) % prime
        t = (t + ord(text[i + len(pattern)])) % prime

    if p == t and text[-len(pattern) :] == pattern:
        yield len(text) - len(pattern)


def compute_lp_array(pattern: str, len_pat: int) -> List[int]:
    """
    Return a list containing the length of the maximum matching
    proper prefix of the pattern[0, 1, ..., i]
    """
    len = 0  # length of the previous longest prefix
    lp = [0]  # longest proper prefix will hold the longest prefix values for pattern
    i = 1

    while i < len_pat:
        if pattern[i] == pattern[len]:
            len += 1
            lp.append(len)
            i += 1
        else:
            if len != 0:
                len = lp[len - 1]
            else:
                lp.append(0)
                i += 1
    return lp


def string_search_kmp(text: str, pattern: str) -> Generator[int]:
    """
    Knuth-Morris-Pratt algorithm
    Return a list containing the position of each index
    the pattern is found.
    """
    if not pattern:
        for i in range(len(text) + 1):
            yield i
        return

    lp_array = compute_lp_array(pattern, len(pattern))
    i, j = 0, 0  # indices for text and pattern
    while i < len(text):
        if pattern[j] == text[i]:
            i += 1
            j += 1
        if j == len(pattern):
            yield i - j
            j = lp_array[j - 1]
        # mismatch after j matches
        elif i < len(text) and pattern[j] != text[i]:
            # do not match lp[0...lp[j-1]] characters,
            # they will match anyways
            if j != 0:
                j = lp_array[j - 1]
            else:
                i += 1


def replace_interleave(self, new: str, maxcount: int) -> str:
    """
    Returns a string inserting the 'new' string everywhere.
    """

    j = 0
    res = []
    # insert the new string for maxcount <= len(self) times.
    for i in range(len(self)):
        if i + 1 > maxcount:
            break
        res.append(new)
        res.append(self[i])
        j = i
    if maxcount - 1 == len(self) or maxcount > len(self) or maxcount < 0:
        res.append(new)
    else:
        res.append(self[j + 1 :])
    return str.cat(res)


def replace_delete_substring(self, old: str, new: str, maxcount: int) -> str:
    """
    Returns a string deleting any instances of the 'old' string in self and
    replaceing it with the 'new' string.
    """
    li = list(string_search_kmp(self, old))

    # no matches
    if len(li) == 0:
        return self

    # when the whole string is replaced by ''
    if len(li) * len(old) == len(self) and maxcount >= len(self):
        return ""

    if maxcount > len(li):
        maxcount = len(li)

    result_len = len(self) - (maxcount * len(old))
    assert result_len >= 0

    j = li[0]
    res = []
    res.append(self[0:j])

    # replace the old substring with the new substring
    for i in range(1, maxcount):
        res.append(new)
        res.append(self[j + len(old) : li[i]])
        j = li[i]
    res.append(new)
    res.append(self[j + len(old) :])
    return str.cat(res)