#!/usr/bin/env python3

import sys
from collections import Counter
from copy import deepcopy

def step(cons,s):
    for _ in range(s):
        ncons = {}
        for (a,b),v in cons.items():
            if (a, rules[a+b]) not in ncons: ncons[(a, rules[a+b])] = 0
            if (rules[a+b], b) not in ncons: ncons[(rules[a+b], b)] = 0
            ncons[(a, rules[a+b])] += v
            ncons[(rules[a+b],b)] += v
        cons = deepcopy(ncons)
    return cons

def countp(cons):
    ex = {}
    for k in nex.keys():
        ex[k[0]] = 0
        ex[k[1]] = 0
    ex[start[0]] += 1
    ex[start[-1]] += 1
    for k,v in nex.items():
        ex[k[0]] += v
        ex[k[1]] += v
    return ex

if __name__ == '__main__':
    start, rules = open(sys.argv[1]).read().split('\n\n')
    rules = [r.split(' -> ') for r in rules.split('\n')]
    rules = {a[0]:a[1] for a in rules[:-1]}
    nex = {}
    for a,b in zip(start[:-1],start[1:]):
        if (a,b) not in nex: nex[(a,b)] = 0
        nex[(a,b)] +=1
    # challenge 1
    nex = step(nex,10)
    res = countp(nex)
    res1 = str(max(res.values())//2-min(res.values())//2)
    print("challenge 1:" +"\n" +  res1 + "\n")

    # challenge 2
    nex = step(nex,30)
    res = countp(nex)
    res2 = str(max(res.values())//2-min(res.values())//2)
    print("challenge 2:" +"\n" +  res2 + "\n")