from lib import str_to_ints


def part_1(data):
    counts = {}
    x_min, x_max, y_min, y_max = 10**9, 0, 10**9, 0
    for line in data.splitlines():
        x, y = str_to_ints(line)
        x_min = min(x_min, x)
        x_max = max(x_max, x)
        y_min = min(y_min, y)
        y_max = max(y_max, y)
        counts[(x, y)] = 0

    infs = set()
    for x in range(x_min, x_max + 1):
        for y in range(y_min, y_max + 1):
            if (x, y) in counts:
                counts[(x, y)] += 1
                continue

            min_dist = 10**9
            min_fields = []
            for (nx, ny) in counts.keys():
                d = abs(nx - x) + abs(ny - y)
                if d == min_dist:
                    min_fields.append((nx, ny))
                elif d < min_dist:
                    min_dist = d
                    min_fields = [(nx, ny)]

            if len(min_fields) == 1:
                (nx, ny), = min_fields
                if x == x_min or y == y_min or x == x_max or y == y_max:
                    infs.add((nx, ny))
                else:
                    counts[(nx, ny)] += 1
    for c in infs:
        del counts[c]
    print(max(list(counts.values())))


def part_2(data):
    coords = []
    for line in data.splitlines():
        coords.append(str_to_ints(line))

    r = 0
    for x in range(-500, 500):
        for y in range(-500, 500):
            d = sum([abs(nx - x) + abs(ny - y) for (nx, ny) in coords])
            if d < 10_000:
                r += 1
    print(r)


def main():
    input_file = __file__.replace(".py", ".txt")
    with open(input_file) as f:
        data = f.read()
    part_1(data)
    part_2(data)


if __name__ == "__main__":
    main()