クラスカル法 (lib/graph/kruskal.hpp)

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Last update: 2025-06-10 13:56:45+09:00
Include: #include "lib/graph/kruskal.hpp"

Depends on

Verified with

test/aoj/grl/kruskal.test.cpp

Code

#pragma once
#include <algorithm>
#include <vector>
#include "graph/graph.hpp"
#include "tree/union_find.hpp"

/// @brief クラスカル法
template <class T>
std::vector<typename Graph<T>::edge_type> kruskal(const Graph<T> &g) {
    using _edge = typename Graph<T>::edge_type;
    union_find uf(g.size());
    std::vector<_edge> res;
    std::vector<_edge> edge_list;
    for (auto &v : g) {
        for (auto &e : v) edge_list.emplace_back(e);
    }
    std::sort(edge_list.begin(), edge_list.end());
    for (auto &e : edge_list) {
        if (uf.unite(e.from(), e.to())) res.emplace_back(e);
    }
    return res;
}

Traceback (most recent call last):
  File "/home/runner/.local/lib/python3.12/site-packages/competitive_verifier/oj/resolver.py", line 291, in resolve
    bundled_code = language.bundle(path, basedir=basedir)
                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/home/runner/.local/lib/python3.12/site-packages/competitive_verifier/oj/verify/languages/cplusplus.py", line 242, in bundle
    bundler.update(path)
  File "/home/runner/.local/lib/python3.12/site-packages/competitive_verifier/oj/verify/languages/cplusplus_bundle.py", line 479, in update
    self._resolve(pathlib.Path(included), included_from=path)
  File "/home/runner/.local/lib/python3.12/site-packages/competitive_verifier/oj/verify/languages/cplusplus_bundle.py", line 286, in _resolve
    raise BundleErrorAt(path, -1, "no such header")
competitive_verifier.oj.verify.languages.cplusplus_bundle.BundleErrorAt: graph/graph.hpp: line -1: no such header