from lib import get_data
from lib import ints
from collections import defaultdict

rows = 103
cols = 101
data = get_data(__file__)


def score(robots):
    quadrants = defaultdict(int)
    for _, r, c in robots:
        if r < rows // 2 and c < cols // 2:
            quadrants[1] += 1
        elif r < rows // 2 and c > cols // 2:
            quadrants[2] += 1
        elif r > rows // 2 and c < cols // 2:
            quadrants[3] += 1
        elif r > rows // 2 and c > cols // 2:
            quadrants[4] += 1
    t = 1
    for q in quadrants.values():
        t *= q
    return t


def print_from_xy(xs):
    x_min = min(v[1] for v in xs)
    x_max = max(v[1] for v in xs)
    y_min = min(v[0] for v in xs)
    y_max = max(v[0] for v in xs)
    for y in range(y_min, y_max + 1):
        row = ""
        for x in range(x_min, x_max + 1):
            if (x, y) in xs:
                row += "#"
            else:
                row += " "
        print(row)


robots_speed = {}
robots = list()
for i, line in enumerate(data.splitlines()):
    c, r, vc, vr = ints(line)
    robots_speed[i] = (vr, vc)
    robots.append((i, r, c))

for j in range(rows * cols):
    nrobots = list()
    count = 0
    for i, r, c in robots:
        vr, vc = robots_speed[i]
        nr = (r + vr) % rows
        nc = (c + vc) % cols
        nrobots.append((i, nr, nc))
    robots = nrobots
    if j == 99:
        print(score(robots))
    robots_coords = [(r, c) for _, r, c in robots]
    if len(robots_coords) == len(set(robots_coords)):
        print(j + 1)
        # print_from_xy(robots_coords)
        break