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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]

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)

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