結果

問題 No.2674 k-Walk on Bipartite
ユーザー coindarwcoindarw
提出日時 2024-03-15 22:33:08
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 7,410 bytes
コンパイル時間 5,497 ms
コンパイル使用メモリ 319,344 KB
実行使用メモリ 19,564 KB
最終ジャッジ日時 2024-09-30 01:58:49
合計ジャッジ時間 8,746 ms
ジャッジサーバーID
(参考情報)
judge5 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,816 KB
testcase_01 AC 2 ms
6,820 KB
testcase_02 AC 2 ms
6,820 KB
testcase_03 AC 2 ms
6,816 KB
testcase_04 WA -
testcase_05 WA -
testcase_06 AC 2 ms
6,816 KB
testcase_07 AC 89 ms
13,556 KB
testcase_08 AC 123 ms
15,488 KB
testcase_09 AC 70 ms
13,344 KB
testcase_10 AC 167 ms
17,792 KB
testcase_11 AC 98 ms
13,056 KB
testcase_12 AC 142 ms
17,684 KB
testcase_13 AC 61 ms
12,032 KB
testcase_14 AC 17 ms
9,232 KB
testcase_15 AC 180 ms
18,836 KB
testcase_16 AC 121 ms
14,836 KB
testcase_17 AC 121 ms
14,920 KB
testcase_18 AC 35 ms
9,472 KB
testcase_19 AC 83 ms
13,696 KB
testcase_20 AC 68 ms
13,076 KB
testcase_21 AC 131 ms
15,744 KB
testcase_22 AC 191 ms
19,564 KB
testcase_23 AC 2 ms
6,816 KB
testcase_24 WA -
testcase_25 WA -
testcase_26 AC 2 ms
6,816 KB
testcase_27 AC 2 ms
6,816 KB
testcase_28 WA -
testcase_29 WA -
testcase_30 AC 2 ms
6,816 KB
testcase_31 AC 2 ms
6,820 KB
testcase_32 AC 2 ms
6,816 KB
testcase_33 AC 2 ms
6,816 KB
testcase_34 AC 2 ms
6,816 KB
testcase_35 AC 2 ms
6,820 KB
testcase_36 AC 2 ms
6,816 KB
testcase_37 AC 2 ms
6,820 KB
testcase_38 AC 2 ms
6,816 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#ifdef ONLINE_JUDGE
#include <bits/stdc++.h>

#include <atcoder/all>
#else
#include <mylibs/all.h>
#endif

using ll = long long;
using lll = __int128_t;
#define rep(i, n) for (int i = 0, i##_len = (n); i < i##_len; ++i)
#define reps(i, n) for (int i = 1, i##_len = (n); i <= i##_len; ++i)
#define rrep(i, n) for (int i = ((int)(n)-1); i >= 0; --i)
#define rreps(i, n) for (int i = ((int)(n)); i > 0; --i)
#define rep2(i, s, n) for (int i = (s); i < (int)(n); i++)
#define repc2(i, s, n) for (int i = (s); i <= (int)(n); i++)
#define length(v) ((int)(v).size())
constexpr int inf = 2'000'000'000;
constexpr ll linf = 4'000'000'000'000'000'000, M7 = 1'000'000'007, M9 = 998'244'353;
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
using namespace std;
using namespace atcoder;

// clang-format off
#define Vec(type, ...) __make_vec<type>(__VA_ARGS__)
template <class T> vector<T> __make_vec(size_t a) {return vector<T>(a);}template <class T, class... Ts>
auto __make_vec(size_t a, Ts... ts) {return vector<decltype(__make_vec<T>(ts...))>(a, __make_vec<T>(ts...));}
#define VecI(init, type, ...) __make_vecI<type, init>(__VA_ARGS__)
template <class T, T init>vector<T> __make_vecI(size_t a) {return vector<T>(a, init);}
template <class T, T init, class... Ts>
auto __make_vecI(size_t a, Ts... ts) {return vector<decltype(__make_vecI<T, init>(ts...))>(a, __make_vecI<T, init>(ts...));}

template <typename T, typename U>inline ostream& operator<<(ostream& os, const pair<T, U>& p) noexcept {return os << p.first << " " << p.second;}
inline ostream& operator<<(ostream& os, const modint& m) noexcept { return os << m.val(); }
template <int M>inline ostream& operator<<(ostream& os, const static_modint<M>& m) noexcept { return os << m.val(); }

template <typename T> struct is_static_modint : std::false_type {}; template <int MOD> struct is_static_modint<static_modint<MOD>> : std::true_type {};
template <template <typename...> typename C, typename Number>concept MyContainer = std::is_same_v<C<Number>, std::vector<Number>> || std::is_same_v<C<Number>, std::deque<Number>> || std::is_same_v<C<Number>, std::set<Number>> || std::is_same_v<C<Number>, std::unordered_set<Number>> || std::is_same_v<C<Number>, std::unordered_multiset<Number>> || std::is_same_v<C<Number>, std::multiset<Number>>;
template <typename Number>concept MyNumber = std::is_same_v<Number, int> || std::is_same_v<Number, ll> || std::is_same_v<Number, char> || std::is_same_v<Number, modint> || is_static_modint<Number>::value;
template <template <typename...> typename C, typename Number>concept MyContainerNumber = MyContainer<C, Number> && MyNumber<Number>;
template <template <typename...> typename OutCon, template <typename...> typename InCon, typename Number>concept MyNestedContainerNumber = MyContainer<OutCon, InCon<Number>> && MyContainerNumber<InCon, Number>;
template <template <typename...> typename C, typename Number>requires MyContainerNumber<C, Number>std::ostream& operator<<(std::ostream& os, const C<Number>& t) {auto itr = t.begin();auto end = t.end();if (itr != end) {os << *itr++;for (; itr != end; ++itr) os << ' ' << *itr;}return os;}
template <template <typename...> typename OutCon, template <typename...> typename InCon, typename Number>requires MyNestedContainerNumber<OutCon, InCon, Number>std::ostream& operator<<(std::ostream& os, const OutCon<InCon<Number>>& t) {auto itr = t.begin();auto end = t.end();if (itr != end) {os << *itr++;for (; itr != end; ++itr) os << '\n' << *itr;}return os;}
template <typename T, typename U>istream& operator>>(istream& is, pair<T, U>& p) {return is >> p.first >> p.second;}
template <typename T>istream& operator>>(istream& is, vector<T>& v) {for (auto& e : v) is >> e;return is;}
void inp() {}
template <typename T, typename... Args>void inp(T& a, Args&... args) {cin >> a, inp(args...);}
template <typename T>void inp1(vector<T>& v, int offset = 1, int len = -1) {if (len == -1) len = int(v.size()) - offset;assert(offset >= 0 && len >= 0);for (int i = offset; i < offset + len; ++i) cin >> v[i];}
template <typename T>void oup(const T& a) {cout << a << "\n";}
template <typename T, typename... Args>void oup(const T& a, const Args&... args) {cout << a << " ", oup(args...);}

inline string YESNO(bool cond) { return cond ? "YES" : "NO"; }inline string yesno(bool cond) { return cond ? "yes" : "no"; }inline string YesNo(bool cond) { return cond ? "Yes" : "No"; }
inline auto add1(auto vec, ll offset = 1) {for (auto& e : vec) e += offset;return vec;}
#ifdef ONLINE_JUDGE
#define debug(...)
#else
#define debug(...) cerr << "<" << #__VA_ARGS__ << ">: ", debug_out(__VA_ARGS__)
template <typename T>void debug_out(T t) {cerr << t << "\n";}
template <typename T, typename... Args>void debug_out(T t, Args... args) {cerr << t << ", ";debug_out(args...);}
#endif

#ifdef ONLINE_JUDGE
#define todo(...) static_assert(false)
#else
#define todo(...)
#endif
// clang-format on

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n, m;
    inp(n, m);
    int s, t, k;
    inp(s, t, k);
    struct edge {
        int to;
        edge(int to) : to(to) {}
    };
    vector<vector<edge>> G(n);
    s--, t--;

    rep(i, m) {
        int a, b;
        inp(a, b);
        a--, b--;
        G[a].emplace_back(b);
        G[b].emplace_back(a);
    }

    vector<int> col(n, -1);
    vector<bool> seen(n);
    auto dfs = [&](auto dfs, int u) -> void {
        seen.at(u) = true;
        for (const auto& e : G.at(u)) {
            if (seen.at(e.to)) {
                assert(col.at(e.to) != col.at(u));
                continue;
            }
            col.at(e.to) = col.at(u) ^ 1;
            dfs(dfs, e.to);
        }
    };
    int acc = 0;
    rep(i, n) {
        if (seen.at(i)) continue;
        col.at(i) = acc;
        dfs(dfs, i);
        acc += 2;
    }

    auto dijkstra = [&](int ip) {
        using P = pair<ll, int>;
        priority_queue<P, vector<P>, greater<P>> pq;
        vector<ll> dist(G.size(), linf);
        dist.at(ip) = 0;
        pq.emplace(0ll, ip);
        while (!pq.empty()) {
            auto u = pq.top();
            auto [curDist, curPos] = u;
            pq.pop();
            if (curDist > dist.at(curPos)) continue;
            for (const auto& eg : G.at(curPos)) {
                if (dist.at(eg.to) > dist.at(curPos) + 1) {
                    dist.at(eg.to) = dist.at(curPos) + 1;
                    pq.emplace(dist.at(eg.to), eg.to);
                }
            }
        }
        return dist;
    };
    auto distS = dijkstra(s);

    if (col.at(s) == col.at(t)) {
        // 偶数長が確定
        if (k % 2 != 0) {
            oup("No");
        } else {
            if (distS.at(t) <= k) {  // kが最短経路以上→適当に偶数回消費すればいい
                oup("Yes");
            } else {  // ちょうどいい箇所に辺が必要
                oup("Unknown");
            }
        }
    } else if (col.at(s) / 2 == col.at(t) / 2) {
        // 奇数長が確定
        if (k % 2 == 0) {
            oup("No");
        } else {
            if (distS.at(t) <= k) {  // kが最短経路以上→適当に偶数回消費すればいい
                oup("Yes");
            } else {  // ちょうどいい箇所に辺が必要
                oup("Unknown");
            }
        }
    } else {  // 連結でない
        oup("Unknown");
    }
    return 0;
}
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