华容道高性能计算引擎
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#!/usr/bin/env python3
import pickle
import igraph as ig
from klotski import FastCal
from klotski import Block, Layout
from klotski import Group, GroupUnion
def is_valid_solution(code: Layout) -> bool:
if str(code)[0] != 'D':
return False
seq = code.dump_seq()
is_z_valid = seq[9] == Block.SPACE and seq[10] == Block.SPACE
is_x_valid = seq[12] == Block.SPACE and seq[16] == Block.SPACE
is_y_valid = seq[15] == Block.SPACE and seq[19] == Block.SPACE
return is_x_valid or is_y_valid or is_z_valid
def build_step_map(code: str) -> dict[Layout, int]:
cal = FastCal(Layout(code))
cal.build_all()
data = cal.exports()
result = {}
for step_num, cases in enumerate(data):
for case in cases:
result[case] = step_num
return result
def build_min_step_scope(group: Group, targets: list[str]) -> dict[Layout, dict[Layout, int]]:
targets = [Layout(x) for x in targets]
all_solution = set([x for x in group.cases() if str(x).startswith('D')])
not_solved = all_solution - set(targets)
step_data = {x: {} for x in group.cases() if x not in not_solved}
for target in targets:
for code, step_num in build_step_map(target).items():
if code in not_solved:
continue
step_data[code][target] = step_num
min_step_data = {}
for code, step_info in step_data.items():
min_step = min([x for x in step_info.values()])
min_step_cases = [x for x, y in step_info.items() if y == min_step]
min_step_data[code] = (min_step, min_step_cases)
result = {}
for target in targets:
tmp = [(x, info[0]) for x, info in min_step_data.items() if target in info[1]]
result[target] = dict(sorted(tmp, key=lambda x: (x[1], x[0])))
return result
def build_graph(nodes: dict[Layout, int]) -> ig.Graph:
edges = []
for code, step in nodes.items():
for next_case in code.next_cases():
if next_case not in nodes:
continue
assert step - nodes[next_case] in [-1, 0, 1]
if nodes[next_case] - step == 1:
edges.append((code, next_case))
graph = ig.Graph(n=len(nodes))
graph.vs['code'] = [x.to_string(shorten=False)[:7] for x in nodes]
graph.vs['step'] = list(nodes.values())
nodes_index = {y: x for x, y in enumerate(nodes)}
graph.add_edges([(nodes_index[x], nodes_index[y]) for x, y in edges])
return graph
def save_graph(name: str, graph: ig.Graph) -> None:
with open(f'{name}.pkl', 'wb') as fp:
pickle.dump(graph, fp)
def build_data(group: Group) -> None:
print(f'Start building: {group}')
targets = [str(x)[:7] for x in list(group.cases()) if is_valid_solution(x)]
if not targets:
return
data = build_min_step_scope(group, targets)
for target in targets:
save_graph(target, build_graph(data[Layout(target)]))
def main() -> None:
group = GroupUnion(169).groups()[1]
build_data(group)
# type_ids = [149, 154, 159, 164, 169, 174]
# groups = [y for x in type_ids for y in GroupUnion(x).groups()]
# for group in groups:
# build_data(group)
if __name__ == '__main__':
main()