import re
def parse(file):
    robots = []
    for line in file:
        match = re.findall(r'-?\d+', line)
        px,py, vx,vy = [int(x) for x in match]
        robots.append(((px,py),(vx,vy)))
    return robots

def solve(file, W, H):
    robots = parse(file)
    print(robots)
    robots = [iterate(r, 100, W, H) for r in robots]
    print(robots)
    mx = W//2
    my = H//2
    quads = {1:[], 2:[], 3:[], 4:[]}
    print(mx,my)
    for (x,y),_ in robots:
        q = 0
        if x < mx and y < my: q = 1
        if x > mx and y < my: q = 2
        if x < mx and y > my: q = 3
        if x > mx and y > my: q = 4
        if q > 0:
            quads[q].append((x,y))
    print(quads)

    total = 1
    for v in quads.values():
        total *= len(v)

    print(total)

def solve2(file, W, H):
    robots = parse(file)
    mq = float('inf')
    for t in range(0, W*H):
        rs = lambda: (iterate(r, t, W, H) for r in robots)
        q = quads(rs(), W, H)
        qs = q[0]*q[1]*q[2]*q[3]
        if mq > qs:
            mq = qs
        if qs == mq:
            picture = [["."]*W for _ in range(H)]
            for (x,y),_ in rs():
                if y < H:
                    picture[y][x] = "#"
            for line in picture:
                print("".join(line))
            print("t = ", t, "q = ", qs)
            
        #input(">")

        # 442?
        # 493
        

def quads(robots, W, H):
    mx = W//2
    my = H//2
    q1, q2, q3, q4 = 0, 0, 0, 0
    #seen = set()

    for (x,y),_ in robots:
        #if (x,y) in seen:
        #    continue
        #seen.add((x,y))
        if x < mx and y < my: q1 += 1
        if x > mx and y < my: q2 += 1
        if x < mx and y > my: q3 += 1
        if x > mx and y > my: q4 += 1
    return [q1, q2, q3, q4]

def iterate(robot, t, W, H):
    (px,py), (vx,vy) = robot
    px = (px+vx*t)%W
    py = (py+vy*t)%H
    return (px,py), (vx,vy)

#solve(open("sample1.in"), 11, 7)
#solve(open("input"), 101, 103)
solve2(open("input"), 101, 103)