careening = 1
foehn = 4

bonus = {}
bonus['atk'] = .1*foehn
bonus['fire'] = bonus['atk']
bonus['hp'] = .2*careening + .1*foehn

trials = 1000

navy = {
  'Galley':   {'n':   0, 'atk': 150, 'hp':  2000, 'fire':   0, 'chains':   0},
  'Galleon':  {'n':   4, 'atk': 500, 'hp': 15000, 'fire':   0, 'chains':   0},
  'Fireship': {'n':   1, 'atk':   0, 'hp':  4000, 'fire': 100, 'chains':   0},
  'Caravel':  {'n':   7, 'atk': 200, 'hp':  6000, 'fire':   0, 'chains':  75}
}
enemies = {
  'Boat':        {'n':  0, 'atk':   50, 'hp':   300, 'fire': 0, 'chains': 0},
  'Trireme':     {'n': 26, 'atk':  200, 'hp':  3000, 'fire': 0, 'chains': 0},
  'Turtle Ship': {'n': 13, 'atk':  150, 'hp': 10000, 'fire': 0, 'chains': 0},
  'Blast Ship':  {'n':  7, 'atk':  800, 'hp':  8000, 'fire': 0, 'chains': 0}
}

A = ['atk', 'hp', 'fire', 'chains']
enemy_totals = {}
for a in A: enemy_totals[a] = 0
for unit in enemies:
  for a in A: enemy_totals[a] += enemies[unit]['n'] * enemies[unit][a]
#print enemy_totals
navy_totals = {}
for a in A: navy_totals[a] = 0
for unit in navy:
  for a in A: navy_totals[a] += navy[unit]['n'] * navy[unit][a] * (1+bonus[a] if a in bonus else 1)
#print navy_totals
from numpy.random import rand
def randomize(n): return n * (1 + 1.0/3 * (rand() - rand()))
def fight(d):
  my_hp = navy_totals['hp']
  enemy_hp = enemy_totals['hp']
  fire, chains = 0, 0
  i = 0
  while enemy_hp > 0 and i < 50:
    i += 1
    fire += randomize(navy_totals['fire'])
    atk = randomize(navy_totals['atk'])
    my_dmg = (fire + atk)
    enemy_dmg = max(randomize(enemy_totals['atk']) - chains, 0)
    enemy_hp -= my_dmg
    my_hp -= enemy_dmg
    chains += randomize(navy_totals['chains'])
  return my_hp > 0 and i < 50
print sum(map(fight, range(trials))), "/", trials