from typing import Tuple


def get_overlap_len(indices_1: Tuple[int, int], indices_2: Tuple[int, int]) -> int:
    if indices_1[0] > indices_2[0]:
        tmp = indices_1
        indices_1 = indices_2
        indices_2 = tmp
    if indices_1[1] <= indices_2[0]:
        return 0
    return min(indices_1[1] - indices_2[0], indices_2[1] - indices_2[0])


def have_overlap(start_end: Tuple[int, int], other_start_end: Tuple[int, int]) -> bool:
    other_start_overlaps = start_end[0] <= other_start_end[0] < start_end[1]
    other_end_overlaps = start_end[0] < other_start_end[1] <= start_end[1]
    start_overlaps_other = other_start_end[0] <= start_end[0] < other_start_end[1]
    end_overlaps_other = other_start_end[0] < start_end[1] <= other_start_end[1]
    return other_start_overlaps or other_end_overlaps or start_overlaps_other or end_overlaps_other


def is_contained_in(start_end: Tuple[int, int], other_start_end: Tuple[int, int]) -> bool:
    return other_start_end[0] <= start_end[0] and start_end[1] <= other_start_end[1]


def distance_center(start_end: Tuple[int, int], other_start_end: Tuple[int, int]) -> float:
    center = (start_end[0] + start_end[1]) / 2
    center_other = (other_start_end[0] + other_start_end[1]) / 2
    return abs(center - center_other)


def distance_outer(start_end: Tuple[int, int], other_start_end: Tuple[int, int]) -> float:
    _max = max(start_end[0], start_end[1], other_start_end[0], other_start_end[1])
    _min = min(start_end[0], start_end[1], other_start_end[0], other_start_end[1])
    return float(_max - _min)


def distance_inner(start_end: Tuple[int, int], other_start_end: Tuple[int, int]) -> float:
    dist_start_other_end = abs(start_end[0] - other_start_end[1])
    dist_end_other_start = abs(start_end[1] - other_start_end[0])
    dist = float(min(dist_start_other_end, dist_end_other_start))
    if not have_overlap(start_end, other_start_end):
        return dist
    else:
        return -dist


def distance(
    start_end: Tuple[int, int], other_start_end: Tuple[int, int], distance_type: str
) -> float:
    if distance_type == "center":
        return distance_center(start_end, other_start_end)
    elif distance_type == "inner":
        return distance_inner(start_end, other_start_end)
    elif distance_type == "outer":
        return distance_outer(start_end, other_start_end)
    else:
        raise ValueError(
            f"unknown distance_type={distance_type}. use one of: center, inner, outer"
        )