#!/usr/bin/env python

import sys, random

# finds the highest occuring roll (should almost always be 7)
def common_roll(history):
  highest = (0,0)
  for k in history:
    if history[k] > highest[1]:
      highest = (k, history[k])
  return highest

def roll(history):
  r = random.randint(1, 6) + random.randint(1, 6)
  if r not in history:
    history[r] = 0
  history[r] += 1
  return r

def craps(history, num):
  wins = 0
  losses = 0
  rolls = []
  for x in xrange(num):
    point = 0
    r = roll(history)
    n_rolls = 1
    if r in (2, 3, 12):
      losses += 1
    elif r in (7, 11):
      wins += 1
    else:
      point = r
      r = roll(history)
      n_rolls += 1
      while r not in (point, 7):
        r = roll(history)
        n_rolls += 1
      if r == point:
        wins += 1
      elif r == 7:
        losses += 1
    rolls.append(n_rolls)
  return (wins, losses), rolls

if __name__ == '__main__':
  n = int(sys.argv[1])
  history = {}
  wl, rolls = craps(history,n)
  print 'Most common roll (roll, occurances):  %d: %d' % common_roll(history)
  print 'Average winning percentage: {}%'.format(float(wl[0]) / n * 100)
  print 'Average number of rolls in a game: {}'.format(
      sum(rolls) / float(len(rolls)))
  print 'Maximum rolls: {}'.format(max(rolls))