"""A field bot written here: each planet sends just enough ships to take the nearest planet it can win, aiming where an
orbiting target will be when the fleet arrives."""
import math

CENTER = 50.0


def speed(ships, top=6.0):
    return 1.0 + (top - 1.0) * (math.log(max(ships, 1)) / math.log(1000)) ** 1.5


def where(p, init, w, t):
    """An orbiting planet's position t turns from now (static planets stay put)."""
    if init is None:
        return p[2], p[3]
    r = math.hypot(init[2] - CENTER, init[3] - CENTER)
    if r + p[4] >= 50:
        return p[2], p[3]
    a = math.atan2(p[3] - CENTER, p[2] - CENTER) + w * t
    return CENTER + r * math.cos(a), CENTER + r * math.sin(a)


def agent(obs, config=None):
    me, moves = obs['player'], []
    init = {p[0]: p for p in obs.get('initial_planets', [])}
    w = obs.get('angular_velocity', 0.0)
    mine = [p for p in obs['planets'] if p[1] == me]
    for p in mine:
        best = None
        for q in obs['planets']:
            if q[1] == me:
                continue
            need = q[5] + 1 + (q[6] * 10 if q[1] >= 0 else 0)
            if p[5] - 5 < need:
                continue
            d = math.hypot(q[2] - p[2], q[3] - p[3])
            if best is None or d < best[0]:
                best = (d, q, need)
        if best:
            d, q, need = best
            x, y = where(q, init.get(q[0]), w, d / speed(need))
            moves.append([p[0], math.atan2(y - p[3], x - p[2]), int(need)])
    return moves