truc de ouf (#2) with function to *help* to find time of encounter between 2 spiders

# Tableau des points de rencontres:
# (spider 1, spider 2, Hero) = (n° de tour, distance entre les 2 araignées, coordonnées du point de rencontre pour pouvoir faire le Wind)
# https://www.codingame.com/share-replay/630295305

def time_when_spiders_are_closest_discord(s1: Spider, s2: Spider) -> int:
    # minimize (dx + vx * t) ** 2 + (dy + vy * t ) ** 2
    dx, dy = s1.location - s2.location  # relative position
    vx, vy = s1.velocity - s2.velocity  # relative velocity
    return -(dx * vx + dy * vy) / 400 ** 2


def time_when_spiders_are_closest(s1: Spider, s2: Spider) -> int:
    relative_location = s1.location - s2.location  # relative position
    relative_velocity = s1.velocity - s2.velocity  # relative velocity
    return -np.dot(relative_velocity, relative_location) / 400 ** 2

[((16, 29, 2), (1, 1901, '[3901. 5091.]')),
 ((29, 16, 2), (1, 1901, '[3901. 5091.]')),
 ((12, 29, 1), (3, 5579, '[5345.  -13.]')),
 ((29, 12, 1), (3, 5579, '[5345.  -13.]')),
 ((11, 29, 1), (3, 5837, '[5520. -241.]')),
 ((29, 11, 1), (3, 5837, '[5520. -241.]')),
 ((24, 23, 1), (4, 2362, '[5926. 3576.]')),
 ((23, 24, 1), (4, 2362, '[5926. 3576.]')),
 ((24, 23, 2), (4, 2362, '[5926. 3576.]')),
 ((23, 24, 2), (4, 2362, '[5926. 3576.]')),
 ((7, 19, 2), (4, 4761, '[ 238. 3718.]')),
 ((19, 7, 2), (4, 4761, '[ 238. 3718.]')),
 ((15, 24, 2), (4, 5939, '[-138. 5552.]')),
 ((24, 15, 2), (4, 5939, '[-138. 5552.]')),
 ((18, 27, 0), (5, 1513, '[13244.  6234.]')),
 ((27, 18, 0), (5, 1513, '[13244.  6234.]')),
 ((19, 24, 2), (5, 2002, '[3336. 1370.]')),
 ((24, 19, 2), (5, 2002, '[3336. 1370.]')),
 ((19, 24, 1), (5, 2002, '[4630.  598.]')),
 ((24, 19, 1), (5, 2002, '[4630.  598.]')),
 ((16, 26, 1), (8, 2722, '[3149. 1677.]')),
 ((26, 16, 1), (8, 2722, '[3149. 1677.]')),
 ((16, 26, 2), (8, 2722, '[3149. 1677.]')),
 ((26, 16, 2), (8, 2722, '[3149. 1677.]')),
 ((16, 24, 2), (10, 4244, '[ 301. 2971.]')),
 ((24, 16, 2), (10, 4244, '[ 301. 2971.]')),
 ((16, 24, 1), (10, 4244, '[2697.  -45.]')),
 ((24, 16, 1), (10, 4244, '[2697.  -45.]')),
 ((7, 24, 1), (12, 6244, '[ 6954. -3106.]')),
 ((24, 7, 1), (12, 6244, '[ 6954. -3106.]')),
 ((7, 24, 2), (12, 6244, '[ 6954. -3106.]')),
 ((24, 7, 2), (12, 6244, '[ 6954. -3106.]')),
 ((26, 29, 0), (16, 4591, '[3858. 2486.]')),
 ((29, 26, 0), (16, 4591, '[3858. 2486.]')),
 ((26, 29, 1), (16, 4591, '[3858. 2486.]')),
 ((29, 26, 1), (16, 4591, '[3858. 2486.]')),
 ((26, 29, 2), (16, 4591, '[3858. 2486.]')),
 ((29, 26, 2), (16, 4591, '[3858. 2486.]')),
 ((29, 24, 0), (17, 6011, '[2356.  675.]')),
 ((24, 29, 0), (17, 6011, '[2356.  675.]')),
 ((29, 24, 1), (17, 6011, '[2356.  675.]')),
 ((24, 29, 1), (17, 6011, '[2356.  675.]')),
 ((29, 24, 2), (17, 6011, '[2356.  675.]')),
 ((24, 29, 2), (17, 6011, '[2356.  675.]'))]