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#!/usr/bin/env python3
import sys, re
from copy import deepcopy
VALVES = {'V': [], 'E': [], 'w': {}}
def parse(line):
g = re.compile(r"Valve (?P<valve>\w{2}) has flow rate=(?P<fr>\d+); tunnel(s)? lead(s)? to valve(s)? (?P<tunnel>(\w{2}(, )?)*)").search(line)
vc = g.group('valve') + 'C'
vo = g.group('valve') + 'O'
es = g.group('tunnel').split(', ')
VALVES['V'] += [vc,vo]
VALVES['E'].append((vc,vo))
for e in es:
VALVES['E'].append((vo,e+'C'))
VALVES['E'].append((vc,e+'C'))
VALVES['w'][(vo,e+'C')] = 0
VALVES['w'][(vc,e+'C')] = 0
VALVES['w'][(vc,vo)] = int(g.group('fr'))
def Init(G,s,k):
d = {}
o = {}
for v in G['V']:
d[v] = [-1] * k
o[v] = [[]] * k
d[s] = [0] * k
return d, o
def anti_relax(u,v,w,i,d,k,o):
if d[v][i] < d[u][i-1] + w[(u,v)] * (k-i):
d[v][i] = d[u][i-1] + w[(u,v)] * (k-i)
o[v][i] = o[u][i-1] + [u]
def find_path(G,s,k):
d,o = Init(G,s,k)
for i in range(k):
di = deepcopy(d)
for (u,v) in G['E']:
if d[u][i-1] > -1 and not (u[:2] == v[:2] and v in o[u][i-1]): anti_relax(u,v,G['w'],i,di,k,o)
d = deepcopy(di)
return max(map(max,d.values()))
def Init_double(G,s,k):
d = {}
o = {}
for v in G['V']:
d[v] = [-1] * k
o[v] = [[]] * k
d[s] = [0] * k
return d, o
def anti_relax_double(u,v,w,i,d,k,o):
if d[v][i] < d[u][i-1] + w[(u,v)] * (k-i):
d[v][i] = d[u][i-1] + w[(u,v)] * (k-i)
o[v][i] = o[u][i-1] + [u]
def find_double_path(G,s,k):
d,o = Init_double(G,s,k)
for i in range(k):
di = deepcopy(d)
for (u,v) in G['E']:
if d[u][i-1] > -1 and not (u[:2] == v[:2] and v in o[u][i-1]):
anti_relax_double(u,v,G['w'],i,di,k,o)
for (u,v) in G['E']:
if d[u][i-1] > -1 and not (u[:2] == v[:2] and (v in o[u][i-1] or v in o[u][i])):
anti_relax_double(u,v,G['w'],i,di,k,o)
d = deepcopy(di)
return max(map(max,d.values()))
if __name__ == '__main__':
[parse(line.strip('\n')) for line in open(sys.argv[1])]
m = find_path(VALVES,'AAC',29)
# start (s): AA, length (k): 30,
# challenge 1
res1 = str(m)
print("challenge 1:" + "\n" + res1 + "\n")
# challenge 2
m = find_double_path(VALVES,'AAC',25)
# missing: magic!
print(m)
res2 = ""
print("challenge 2:" + "\n" + res2 + "\n")