#!/usr/bin/env python3 import pickle import igraph as ig from klotski import FastCal from klotski import CommonCode from klotski import Group, GroupUnion def build_step_map(code: str) -> dict[CommonCode, int]: cal = FastCal(CommonCode(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[CommonCode, dict[CommonCode, int]]: targets = [CommonCode(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[CommonCode, 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 main() -> None: targets = [ 'DAAF4CC', 'DABFD20', 'DAEF720', 'DAEFD20', 'DAFED20', 'DBAB4CC', 'DBAFD20', 'DEAB4CC', 'DEAFD20', 'DEEB60C', 'DFAA4CC', 'DFAED20', 'DAA7F30', 'DAB9F30', 'DABDF80', 'DAE9F30', 'DAEDF80', 'DAFA730', 'DAFB780', 'DBADF80', 'DBAF780', 'DBBE930', 'DEADF80', 'DFAB780', 'DAF60EC', 'DBE60EC', 'DBE70AC', 'DBF682C', 'DFA70AC', 'DFE90AC', ] group = GroupUnion(169).groups()[1] data = build_min_step_scope(group, targets) for target in targets: save_graph(target, build_graph(data[CommonCode(target)])) if __name__ == '__main__': main()