#!/usr/bin/env python3
from functools import reduce
import re, sys
import math
import numpy as np

def tpl(l):
    me, rest = l.split() # e.g.
    return me, rest

fn = sys.argv[1] if len(sys.argv) > 1 else 'input%s' % 13
with open(fn) as f:

    lines = [l.strip() for l in f.readlines()]
    start = int(lines[0])
    mehs = [int(x) for x in lines[1].split(',') if x != 'x']
    print(mehs)
    mods = [x - (start % x) for x in mehs]
    dups = sorted(zip(mods, mehs))
    print(np.prod(dups[0]))

    sched = enumerate(x for x in lines[1].split(','))
    sched = [(a, int(b)) for (a, b) in sched if b != 'x']
    print(sched)
    i = 0
    j = 0
    inc = 1
    while True:
        if (i + sched[j][0]) % sched[j][1] == 0:
            inc *= sched[j][1] # prime
            j += 1
            print(j, f'{i:_}')
            if j == len(sched): # done!
                print(i)
                break
        i += inc