Add ugly day 16, to be improved...

This commit is contained in:
Mikael CAPELLE 2022-12-16 09:21:54 +01:00
parent d80dbb6c7c
commit b1578f5709
2 changed files with 169 additions and 0 deletions

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# -*- encoding: utf-8 -*-
import itertools
import re
import sys
from docplex.mp.model import Model
lines = sys.stdin.read().splitlines()
pipes: dict[str, tuple[int, list[str]]] = {}
for line in lines:
r = re.match(
R"Valve ([A-Z]+) has flow rate=([0-9]+); tunnels? leads? to valves? (.+)",
line,
).groups()
pipes[r[0]] = (int(r[1]), r[2].split(", "))
start_pipe = "AA"
max_time = 30
#
max_time = 26
ee = [0, 1]
m = Model()
present_at = m.binary_var_dict(
(e, t, pipe) for e, t, pipe in itertools.product(ee, range(max_time), pipes)
)
open_at = m.binary_var_dict(
(e, t, pipe) for e, t, pipe in itertools.product(ee, range(max_time), pipes)
)
for e in ee:
m.add_constraint(present_at[e, 0, start_pipe] == 1)
for e, pipe in itertools.product(ee, pipes):
m.add_constraint(open_at[e, 0, pipe] == 0)
for e, t in itertools.product(ee, range(max_time)):
m.add_constraint(m.sum(present_at[e, t, pipe] for pipe in pipes) == 1)
for e, t, pipe in itertools.product(ee, range(1, max_time), pipes):
m.add_constraint(
present_at[e, t, pipe]
<= present_at[e, t - 1, pipe]
+ m.sum(present_at[e, t - 1, pipe2] for pipe2 in pipes[pipe][1])
)
for pipe2 in pipes:
if pipe2 != pipe:
m.add_constraint(present_at[e, t, pipe] <= 1 - open_at[e, t - 1, pipe2])
for e, t, pipe in itertools.product(ee, range(1, max_time), pipes):
m.add_constraint(open_at[e, t, pipe] <= present_at[e, t, pipe])
# keeps flowing
flowing_at = m.binary_var_dict(
(t, pipe) for t, pipe in itertools.product(range(max_time), pipes)
)
for t, pipe in itertools.product(range(max_time), pipes):
m.add_constraint(
flowing_at[t, pipe]
== m.sum(open_at[e, t2, pipe] for e, t2 in itertools.product(ee, range(0, t)))
)
# objective
m.set_objective(
"max",
m.sum(
flowing_at[t, pipe] * pipes[pipe][0]
for t, pipe in itertools.product(range(max_time), pipes)
),
)
m.log_output = True
s = m.solve()
print(s.get_objective_value())
# for t in range(max_time):
# present = {
# e: [pipe for pipe in pipes if s.get_value(present_at[e, t, pipe]) > 1e-6]
# for e in ee
# }
# opent = {
# e: [pipe for pipe in pipes if s.get_value(open_at[e, t, pipe]) > 1e-6]
# for e in ee
# }
# flowing = [
# pipe
# for pipe in pipes
# if any(s.get_value(flowing_at[e, t, pipe]) > 1e-6 for e in ee)
# ]
# p = [present[e][0] for e in ee]
# o = [opent[e][0] if opent[e] else "-" for e in ee]
# print(f"t={t}, at={p}, open={o}, flowing={flowing}")

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Valve MU has flow rate=0; tunnels lead to valves VT, LA
Valve TQ has flow rate=0; tunnels lead to valves HU, SU
Valve YH has flow rate=0; tunnels lead to valves CN, BN
Valve EO has flow rate=0; tunnels lead to valves IK, CN
Valve MH has flow rate=0; tunnels lead to valves GG, HG
Valve RJ has flow rate=0; tunnels lead to valves AA, RI
Valve XZ has flow rate=0; tunnels lead to valves PX, VT
Valve UU has flow rate=0; tunnels lead to valves DT, XG
Valve KV has flow rate=13; tunnels lead to valves HN, CV, PE, XD, TA
Valve SU has flow rate=19; tunnels lead to valves TQ, HF, OL, SF
Valve BB has flow rate=0; tunnels lead to valves NS, HR
Valve RI has flow rate=4; tunnels lead to valves ML, EE, TZ, RJ, PE
Valve TZ has flow rate=0; tunnels lead to valves VT, RI
Valve LY has flow rate=0; tunnels lead to valves EE, RP
Valve PX has flow rate=0; tunnels lead to valves XZ, JQ
Valve VH has flow rate=0; tunnels lead to valves DT, TA
Valve HN has flow rate=0; tunnels lead to valves KV, LR
Valve LR has flow rate=0; tunnels lead to valves HR, HN
Valve NJ has flow rate=0; tunnels lead to valves QF, JC
Valve AM has flow rate=0; tunnels lead to valves OJ, AA
Valve FM has flow rate=0; tunnels lead to valves VT, RP
Valve VT has flow rate=5; tunnels lead to valves IP, XZ, TZ, FM, MU
Valve HF has flow rate=0; tunnels lead to valves NR, SU
Valve HR has flow rate=11; tunnels lead to valves BB, KO, LR
Valve WX has flow rate=0; tunnels lead to valves CN, IP
Valve PE has flow rate=0; tunnels lead to valves KV, RI
Valve QF has flow rate=17; tunnels lead to valves YI, NJ
Valve EE has flow rate=0; tunnels lead to valves LY, RI
Valve UH has flow rate=25; tunnel leads to valve YI
Valve CV has flow rate=0; tunnels lead to valves KV, NS
Valve SF has flow rate=0; tunnels lead to valves YN, SU
Valve RP has flow rate=3; tunnels lead to valves HG, FM, OJ, IK, LY
Valve XD has flow rate=0; tunnels lead to valves IL, KV
Valve GG has flow rate=12; tunnels lead to valves ML, IL, MH, OL, KA
Valve XG has flow rate=0; tunnels lead to valves LI, UU
Valve YA has flow rate=21; tunnels lead to valves UJ, GQ
Valve OL has flow rate=0; tunnels lead to valves GG, SU
Valve AN has flow rate=0; tunnels lead to valves AA, IX
Valve LI has flow rate=15; tunnel leads to valve XG
Valve GQ has flow rate=0; tunnels lead to valves YA, KO
Valve HU has flow rate=0; tunnels lead to valves TQ, DT
Valve OJ has flow rate=0; tunnels lead to valves RP, AM
Valve YN has flow rate=0; tunnels lead to valves SF, JQ
Valve ML has flow rate=0; tunnels lead to valves RI, GG
Valve UJ has flow rate=0; tunnels lead to valves YA, NS
Valve IX has flow rate=0; tunnels lead to valves AN, JQ
Valve JC has flow rate=0; tunnels lead to valves JQ, NJ
Valve TA has flow rate=0; tunnels lead to valves KV, VH
Valve DT has flow rate=16; tunnels lead to valves UU, HU, KA, VH
Valve NR has flow rate=0; tunnels lead to valves HF, CN
Valve YI has flow rate=0; tunnels lead to valves QF, UH
Valve AA has flow rate=0; tunnels lead to valves AM, AN, BN, LA, RJ
Valve BN has flow rate=0; tunnels lead to valves AA, YH
Valve KA has flow rate=0; tunnels lead to valves GG, DT
Valve IL has flow rate=0; tunnels lead to valves GG, XD
Valve CN has flow rate=7; tunnels lead to valves YH, EO, WX, NR, OM
Valve IP has flow rate=0; tunnels lead to valves WX, VT
Valve OM has flow rate=0; tunnels lead to valves CN, JQ
Valve KO has flow rate=0; tunnels lead to valves GQ, HR
Valve LA has flow rate=0; tunnels lead to valves AA, MU
Valve JQ has flow rate=6; tunnels lead to valves IX, JC, PX, YN, OM
Valve IK has flow rate=0; tunnels lead to valves EO, RP
Valve HG has flow rate=0; tunnels lead to valves MH, RP
Valve NS has flow rate=23; tunnels lead to valves CV, BB, UJ