Update ugly day 16.
This commit is contained in:
Mikael CAPELLE
parent
b1578f5709
commit
15b987a590
250
2022/day16.py
250
2022/day16.py
@ -1,80 +1,221 @@
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# -*- encoding: utf-8 -*-
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from __future__ import annotations
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import heapq
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import itertools
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import re
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import sys
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from collections import defaultdict
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from typing import NamedTuple
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from docplex.mp.model import Model
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from docplex.mp.vartype import BinaryVarType
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class Pipe(NamedTuple):
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name: str
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flow: int
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tunnels: list[str]
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def __lt__(self, other: object) -> bool:
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return isinstance(other, Pipe) and other.name < self.name
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def __eq__(self, other: object) -> bool:
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return isinstance(other, Pipe) and other.name == self.name
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def __hash__(self) -> int:
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return hash(self.name)
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def __str__(self) -> str:
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return self.name
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def __repr__(self) -> str:
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return self.name
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def breadth_first_search(pipes: dict[str, Pipe], pipe_1: Pipe, pipe_2: Pipe) -> int:
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queue = [(0, pipe_1)]
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visited = set()
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while queue:
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distance, current = heapq.heappop(queue)
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if current in visited:
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continue
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visited.add(current)
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if current == pipe_2:
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return distance
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for tunnel in current.tunnels:
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heapq.heappush(queue, (distance + 1, pipes[tunnel]))
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return -1
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lines = sys.stdin.read().splitlines()
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pipes: dict[str, tuple[int, list[str]]] = {}
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pipes: dict[str, Pipe] = {}
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for line in lines:
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r = re.match(
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R"Valve ([A-Z]+) has flow rate=([0-9]+); tunnels? leads? to valves? (.+)",
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line,
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).groups()
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)
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assert r
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pipes[r[0]] = (int(r[1]), r[2].split(", "))
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g = r.groups()
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pipes[g[0]] = Pipe(g[0], int(g[1]), g[2].split(", "))
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# compute distances from one valve to any other
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distances: dict[tuple[Pipe, Pipe], int] = {}
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for pipe_1 in pipes.values():
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for pipe_2 in pipes.values():
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distances[pipe_1, pipe_2] = breadth_first_search(pipes, pipe_1, pipe_2)
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# valves with flow
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relevant_pipes = [pipe for pipe in pipes.values() if pipe.flow > 0]
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start_pipe = "AA"
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max_time = 30
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# nodes: list[tuple[Pipe, int, int, list[Pipe]]] = [(start_pipe, 0, 0, [])]
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# best_flow: int = 0
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# while nodes:
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# current, time, flow, flowing = nodes.pop(0)
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# if time == max_time:
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# if flow > best_flow:
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# best_flow = flow
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# continue
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# next_nodes: list[tuple[Pipe, int, int, list[Pipe]]] = []
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# for target in relevant_pipes:
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# if target is current or target in flowing:
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# continue
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# distance = distances[current, target] + 1
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# if time + distance >= max_time:
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# continue
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# next_nodes.append(
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# (
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# target,
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# time + distance,
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# flow + distance * sum(pipe.flow for pipe in flowing) + target.flow,
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# flowing + [target],
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# )
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# )
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# # print(time, current, flow, next_nodes)
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# if not next_nodes:
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# next_nodes.append(
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# (
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# current,
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# max_time,
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# flow + sum(pipe.flow for pipe in flowing) * (max_time - time - 1),
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# flowing,
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# )
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# )
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# nodes.extend(next_nodes)
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# # if time >= 4:
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# # break
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# print(best_flow)
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# nodes = [best]
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# while nodes[-1].parent is not None:
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# nodes.append(nodes[-1].parent)
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# nodes = list(reversed(nodes))
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# for node in nodes:
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# print(node.time, node.valve, node.flow, node.flowing)
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#
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max_time = 26
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ee = [0, 1]
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start_pipe = pipes["AA"]
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max_time = 30
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ee = [0]
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# max_time = 26
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# ee = [0, 1]
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m = Model()
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present_at = m.binary_var_dict(
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(e, t, pipe) for e, t, pipe in itertools.product(ee, range(max_time), pipes)
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)
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open_at = m.binary_var_dict(
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(e, t, pipe) for e, t, pipe in itertools.product(ee, range(max_time), pipes)
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var_out: dict[Pipe, dict[Pipe, BinaryVarType]] = {
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pipe: m.binary_var_dict(relevant_pipes) for pipe in relevant_pipes + [start_pipe]
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}
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var_in: dict[Pipe, dict[Pipe, BinaryVarType]] = {pipe: {} for pipe in relevant_pipes}
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for p1 in var_out:
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for p2 in var_out[p1]:
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var_in[p2][p1] = var_out[p1][p2]
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open_at: dict[tuple[int, Pipe], BinaryVarType] = m.continuous_var_dict(
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(
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(t, pipe)
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for t, pipe in itertools.product(range(max_time), [start_pipe] + relevant_pipes)
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),
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lb=0,
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ub=1,
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)
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for time, pipe in itertools.product(range(max_time), relevant_pipes):
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m.add_constraint(open_at[time, pipe] <= m.sum())
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for e in ee:
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m.add_constraint(present_at[e, 0, start_pipe] == 1)
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m.add_constraint(open_at[e, 0, start_pipe] == 1)
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for e, pipe in itertools.product(ee, pipes):
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for e, pipe in itertools.product(ee, relevant_pipes):
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m.add_constraint(open_at[e, 0, pipe] == 0)
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for e, t in itertools.product(ee, range(max_time)):
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m.add_constraint(m.sum(present_at[e, t, pipe] for pipe in pipes) == 1)
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for e, t, p1 in itertools.product(ee, range(max_time), relevant_pipes):
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from_time_and_pipe = [
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(p2, t - distances[p2, p1] - 1)
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for p2 in relevant_pipes + [start_pipe]
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if t - distances[p2, p1] - 1 >= 0 and p2 is not p1
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]
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for e, t, pipe in itertools.product(ee, range(1, max_time), pipes):
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if from_time_and_pipe:
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m.add_constraint(
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open_at[e, t, p1]
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<= m.sum(open_at[e, t2, p2] for p2, t2 in from_time_and_pipe)
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)
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else:
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m.add_constraint(open_at[e, t, p1] == 0)
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for pipe in relevant_pipes + [start_pipe]:
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m.add_constraint(
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present_at[e, t, pipe]
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<= present_at[e, t - 1, pipe]
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+ m.sum(present_at[e, t - 1, pipe2] for pipe2 in pipes[pipe][1])
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m.sum(open_at[e, t, pipe] for e, t in itertools.product(ee, range(max_time)))
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<= 1
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)
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for e, t in itertools.product(ee, range(max_time)):
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m.add_constraint(
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m.sum(open_at[e, t, pipe] for pipe in relevant_pipes + [start_pipe]) <= 1
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)
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for pipe2 in pipes:
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if pipe2 != pipe:
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m.add_constraint(present_at[e, t, pipe] <= 1 - open_at[e, t - 1, pipe2])
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for e, t, pipe in itertools.product(ee, range(1, max_time), pipes):
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m.add_constraint(open_at[e, t, pipe] <= present_at[e, t, pipe])
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# keeps flowing
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flowing_at = m.binary_var_dict(
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(t, pipe) for t, pipe in itertools.product(range(max_time), pipes)
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)
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for t, pipe in itertools.product(range(max_time), pipes):
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m.add_constraint(
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flowing_at[t, pipe]
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== m.sum(open_at[e, t2, pipe] for e, t2 in itertools.product(ee, range(0, t)))
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flowing_at = {
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(t, pipe): m.sum(
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open_at[e, t2, pipe] for e, t2 in itertools.product(ee, range(0, t))
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)
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for t, pipe in itertools.product(range(max_time), relevant_pipes)
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}
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# objective
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m.set_objective(
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"max",
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m.sum(
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flowing_at[t, pipe] * pipes[pipe][0]
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for t, pipe in itertools.product(range(max_time), pipes)
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flowing_at[t, pipe] * pipe.flow
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for t, pipe in itertools.product(range(max_time), relevant_pipes)
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),
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)
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@ -84,22 +225,23 @@ s = m.solve()
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print(s.get_objective_value())
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# for t in range(max_time):
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# present = {
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# e: [pipe for pipe in pipes if s.get_value(present_at[e, t, pipe]) > 1e-6]
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# for e in ee
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# }
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# opent = {
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# e: [pipe for pipe in pipes if s.get_value(open_at[e, t, pipe]) > 1e-6]
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# for e in ee
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# }
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# flowing = [
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# pipe
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# for pipe in pipes
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# if any(s.get_value(flowing_at[e, t, pipe]) > 1e-6 for e in ee)
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# ]
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for t in range(max_time):
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opent = {
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e: [
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pipe
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for pipe in relevant_pipes + [start_pipe]
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if s.get_value(open_at[e, t, pipe]) > 1e-8
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]
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for e in ee
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}
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flowing = [
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pipe
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for pipe in relevant_pipes
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if any(s.get_value(flowing_at[t, pipe]) > 1e-8 for e in ee)
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]
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# p = [present[e][0] for e in ee]
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# o = [opent[e][0] if opent[e] else "-" for e in ee]
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assert all(len(opent[e]) <= 1 for e in ee)
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# print(f"t={t}, at={p}, open={o}, flowing={flowing}")
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o = [opent[e][0] if opent[e] else "-" for e in ee]
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print(f"t={t}, open={o}, flowing={flowing}")
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@ -1,64 +1,64 @@
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Valve MU has flow rate=0; tunnels lead to valves VT, LA
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Valve TQ has flow rate=0; tunnels lead to valves HU, SU
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Valve YH has flow rate=0; tunnels lead to valves CN, BN
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Valve EO has flow rate=0; tunnels lead to valves IK, CN
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Valve MH has flow rate=0; tunnels lead to valves GG, HG
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Valve RJ has flow rate=0; tunnels lead to valves AA, RI
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Valve XZ has flow rate=0; tunnels lead to valves PX, VT
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Valve UU has flow rate=0; tunnels lead to valves DT, XG
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Valve KV has flow rate=13; tunnels lead to valves HN, CV, PE, XD, TA
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Valve SU has flow rate=19; tunnels lead to valves TQ, HF, OL, SF
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Valve BB has flow rate=0; tunnels lead to valves NS, HR
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Valve RI has flow rate=4; tunnels lead to valves ML, EE, TZ, RJ, PE
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Valve TZ has flow rate=0; tunnels lead to valves VT, RI
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Valve LY has flow rate=0; tunnels lead to valves EE, RP
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Valve PX has flow rate=0; tunnels lead to valves XZ, JQ
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Valve VH has flow rate=0; tunnels lead to valves DT, TA
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Valve HN has flow rate=0; tunnels lead to valves KV, LR
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Valve LR has flow rate=0; tunnels lead to valves HR, HN
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Valve NJ has flow rate=0; tunnels lead to valves QF, JC
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Valve AA has flow rate=0; tunnels lead to valves AM, AN, BN, LA, RJ
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Valve AM has flow rate=0; tunnels lead to valves OJ, AA
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Valve FM has flow rate=0; tunnels lead to valves VT, RP
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Valve VT has flow rate=5; tunnels lead to valves IP, XZ, TZ, FM, MU
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Valve HF has flow rate=0; tunnels lead to valves NR, SU
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Valve HR has flow rate=11; tunnels lead to valves BB, KO, LR
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Valve WX has flow rate=0; tunnels lead to valves CN, IP
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Valve PE has flow rate=0; tunnels lead to valves KV, RI
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Valve QF has flow rate=17; tunnels lead to valves YI, NJ
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Valve EE has flow rate=0; tunnels lead to valves LY, RI
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Valve UH has flow rate=25; tunnel leads to valve YI
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Valve CV has flow rate=0; tunnels lead to valves KV, NS
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Valve SF has flow rate=0; tunnels lead to valves YN, SU
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Valve RP has flow rate=3; tunnels lead to valves HG, FM, OJ, IK, LY
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Valve XD has flow rate=0; tunnels lead to valves IL, KV
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Valve GG has flow rate=12; tunnels lead to valves ML, IL, MH, OL, KA
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Valve XG has flow rate=0; tunnels lead to valves LI, UU
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Valve YA has flow rate=21; tunnels lead to valves UJ, GQ
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Valve OL has flow rate=0; tunnels lead to valves GG, SU
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Valve AN has flow rate=0; tunnels lead to valves AA, IX
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Valve LI has flow rate=15; tunnel leads to valve XG
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Valve BB has flow rate=0; tunnels lead to valves NS, HR
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Valve BN has flow rate=0; tunnels lead to valves AA, YH
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Valve CN has flow rate=7; tunnels lead to valves YH, EO, WX, NR, OM
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Valve CV has flow rate=0; tunnels lead to valves KV, NS
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Valve DT has flow rate=16; tunnels lead to valves UU, HU, KA, VH
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Valve EE has flow rate=0; tunnels lead to valves LY, RI
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Valve EO has flow rate=0; tunnels lead to valves IK, CN
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Valve FM has flow rate=0; tunnels lead to valves VT, RP
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Valve GG has flow rate=12; tunnels lead to valves ML, IL, MH, OL, KA
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Valve GQ has flow rate=0; tunnels lead to valves YA, KO
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Valve HF has flow rate=0; tunnels lead to valves NR, SU
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Valve HG has flow rate=0; tunnels lead to valves MH, RP
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Valve HN has flow rate=0; tunnels lead to valves KV, LR
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Valve HR has flow rate=11; tunnels lead to valves BB, KO, LR
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Valve HU has flow rate=0; tunnels lead to valves TQ, DT
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Valve OJ has flow rate=0; tunnels lead to valves RP, AM
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Valve YN has flow rate=0; tunnels lead to valves SF, JQ
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Valve ML has flow rate=0; tunnels lead to valves RI, GG
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Valve UJ has flow rate=0; tunnels lead to valves YA, NS
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Valve IK has flow rate=0; tunnels lead to valves EO, RP
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Valve IL has flow rate=0; tunnels lead to valves GG, XD
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Valve IP has flow rate=0; tunnels lead to valves WX, VT
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Valve IX has flow rate=0; tunnels lead to valves AN, JQ
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Valve JC has flow rate=0; tunnels lead to valves JQ, NJ
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Valve TA has flow rate=0; tunnels lead to valves KV, VH
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Valve DT has flow rate=16; tunnels lead to valves UU, HU, KA, VH
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Valve NR has flow rate=0; tunnels lead to valves HF, CN
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Valve YI has flow rate=0; tunnels lead to valves QF, UH
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Valve AA has flow rate=0; tunnels lead to valves AM, AN, BN, LA, RJ
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Valve BN has flow rate=0; tunnels lead to valves AA, YH
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Valve KA has flow rate=0; tunnels lead to valves GG, DT
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Valve IL has flow rate=0; tunnels lead to valves GG, XD
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Valve CN has flow rate=7; tunnels lead to valves YH, EO, WX, NR, OM
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Valve IP has flow rate=0; tunnels lead to valves WX, VT
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Valve OM has flow rate=0; tunnels lead to valves CN, JQ
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Valve KO has flow rate=0; tunnels lead to valves GQ, HR
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Valve LA has flow rate=0; tunnels lead to valves AA, MU
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Valve JQ has flow rate=6; tunnels lead to valves IX, JC, PX, YN, OM
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Valve IK has flow rate=0; tunnels lead to valves EO, RP
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Valve HG has flow rate=0; tunnels lead to valves MH, RP
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Valve KA has flow rate=0; tunnels lead to valves GG, DT
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Valve KO has flow rate=0; tunnels lead to valves GQ, HR
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Valve KV has flow rate=13; tunnels lead to valves HN, CV, PE, XD, TA
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Valve LA has flow rate=0; tunnels lead to valves AA, MU
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Valve LI has flow rate=15; tunnel leads to valve XG
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Valve LR has flow rate=0; tunnels lead to valves HR, HN
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Valve LY has flow rate=0; tunnels lead to valves EE, RP
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Valve MH has flow rate=0; tunnels lead to valves GG, HG
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Valve ML has flow rate=0; tunnels lead to valves RI, GG
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Valve MU has flow rate=0; tunnels lead to valves VT, LA
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Valve NJ has flow rate=0; tunnels lead to valves QF, JC
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Valve NR has flow rate=0; tunnels lead to valves HF, CN
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Valve NS has flow rate=23; tunnels lead to valves CV, BB, UJ
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Valve OJ has flow rate=0; tunnels lead to valves RP, AM
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Valve OL has flow rate=0; tunnels lead to valves GG, SU
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Valve OM has flow rate=0; tunnels lead to valves CN, JQ
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Valve PE has flow rate=0; tunnels lead to valves KV, RI
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Valve PX has flow rate=0; tunnels lead to valves XZ, JQ
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Valve QF has flow rate=17; tunnels lead to valves YI, NJ
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Valve RI has flow rate=4; tunnels lead to valves ML, EE, TZ, RJ, PE
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Valve RJ has flow rate=0; tunnels lead to valves AA, RI
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Valve RP has flow rate=3; tunnels lead to valves HG, FM, OJ, IK, LY
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Valve SF has flow rate=0; tunnels lead to valves YN, SU
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Valve SU has flow rate=19; tunnels lead to valves TQ, HF, OL, SF
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Valve TA has flow rate=0; tunnels lead to valves KV, VH
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Valve TQ has flow rate=0; tunnels lead to valves HU, SU
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Valve TZ has flow rate=0; tunnels lead to valves VT, RI
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Valve UH has flow rate=25; tunnel leads to valve YI
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Valve UJ has flow rate=0; tunnels lead to valves YA, NS
|
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Valve UU has flow rate=0; tunnels lead to valves DT, XG
|
||||
Valve VH has flow rate=0; tunnels lead to valves DT, TA
|
||||
Valve VT has flow rate=5; tunnels lead to valves IP, XZ, TZ, FM, MU
|
||||
Valve WX has flow rate=0; tunnels lead to valves CN, IP
|
||||
Valve XD has flow rate=0; tunnels lead to valves IL, KV
|
||||
Valve XG has flow rate=0; tunnels lead to valves LI, UU
|
||||
Valve XZ has flow rate=0; tunnels lead to valves PX, VT
|
||||
Valve YA has flow rate=21; tunnels lead to valves UJ, GQ
|
||||
Valve YH has flow rate=0; tunnels lead to valves CN, BN
|
||||
Valve YI has flow rate=0; tunnels lead to valves QF, UH
|
||||
Valve YN has flow rate=0; tunnels lead to valves SF, JQ
|
||||
|
||||
Loading…
Reference in New Issue
Block a user