#960004 (C++23) No.2674 k-Walk on Bipartite

提出ソース

結果

問題	No.2674 k-Walk on Bipartite
ユーザー	noya2
提出日時	2024-03-15 21:40:55
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	57 ms / 2,000 ms
コード長	14,071 bytes
コンパイル時間	3,813 ms
コンパイル使用メモリ	269,856 KB
実行使用メモリ	11,736 KB
最終ジャッジ日時	2024-09-30 00:34:59
合計ジャッジ時間	5,093 ms
ジャッジサーバーID （参考情報）	judge2 / judge4

このコードへのチャレンジ
（要ログイン）

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	1 ms 6,816 KB
testcase_01	AC	2 ms 6,816 KB
testcase_02	AC	1 ms 6,820 KB
testcase_03	AC	2 ms 6,820 KB
testcase_04	AC	2 ms 6,816 KB
testcase_05	AC	1 ms 6,816 KB
testcase_06	AC	2 ms 6,820 KB
testcase_07	AC	33 ms 8,576 KB
testcase_08	AC	47 ms 9,728 KB
testcase_09	AC	24 ms 8,320 KB
testcase_10	AC	57 ms 11,008 KB
testcase_11	AC	26 ms 8,320 KB
testcase_12	AC	55 ms 11,088 KB
testcase_13	AC	21 ms 7,936 KB
testcase_14	AC	8 ms 6,816 KB
testcase_15	AC	56 ms 11,404 KB
testcase_16	AC	43 ms 9,216 KB
testcase_17	AC	39 ms 9,340 KB
testcase_18	AC	13 ms 6,816 KB
testcase_19	AC	29 ms 8,832 KB
testcase_20	AC	31 ms 8,320 KB
testcase_21	AC	41 ms 9,600 KB
testcase_22	AC	44 ms 11,736 KB
testcase_23	AC	2 ms 6,816 KB
testcase_24	AC	2 ms 6,816 KB
testcase_25	AC	1 ms 6,816 KB
testcase_26	AC	1 ms 6,816 KB
testcase_27	AC	2 ms 6,816 KB
testcase_28	AC	2 ms 6,816 KB
testcase_29	AC	2 ms 6,820 KB
testcase_30	AC	1 ms 6,816 KB
testcase_31	AC	2 ms 6,816 KB
testcase_32	AC	2 ms 6,820 KB
testcase_33	AC	2 ms 6,816 KB
testcase_34	AC	2 ms 6,820 KB
testcase_35	AC	2 ms 6,816 KB
testcase_36	AC	1 ms 6,816 KB
testcase_37	AC	2 ms 6,820 KB
testcase_38	AC	2 ms 6,820 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

raw source code

#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
using namespace std;

#include<bits/stdc++.h>
#line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp"
namespace noya2 {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p){
    os << p.first << " " << p.second;
    return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p){
    is >> p.first >> p.second;
    return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
    int s = (int)v.size();
    for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
    return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
    for (auto &x : v) is >> x;
    return is;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
    cin >> t;
    in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
    cout << t;
    if (sizeof...(u)) cout << sep;
    out(u...);
}

template<typename T>
void out(const vector<vector<T>> &vv){
    int s = (int)vv.size();
    for (int i = 0; i < s; i++) out(vv[i]);
}

struct IoSetup {
    IoSetup(){
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(7);
    }
} iosetup_noya2;

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp"
namespace noya2{

const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 =  998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }

} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
namespace noya2{

unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
    if (a == 0 || b == 0) return a + b;
    int n = __builtin_ctzll(a); a >>= n;
    int m = __builtin_ctzll(b); b >>= m;
    while (a != b) {
        int mm = __builtin_ctzll(a - b);
        bool f = a > b;
        unsigned long long c = f ? a : b;
        b = f ? b : a;
        a = (c - b) >> mm;
    }
    return a << min(n, m);
}

template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(abs(a),abs(b))); }

long long sqrt_fast(long long n) {
    if (n <= 0) return 0;
    long long x = sqrt(n);
    while ((x + 1) * (x + 1) <= n) x++;
    while (x * x > n) x--;
    return x;
}

template<typename T> T floor_div(const T n, const T d) {
    assert(d != 0);
    return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}

template<typename T> T ceil_div(const T n, const T d) {
    assert(d != 0);
    return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}

template<typename T> void uniq(vector<T> &v){
    sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
}

template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }

template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }

template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }

} // namespace noya2
#line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"

#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()

using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;

namespace noya2{

/*　~ (. _________ . /)　*/

}

using namespace noya2;


#line 2 "c.cpp"

#line 2 "/Users/noya2/Desktop/Noya2_library/graph/graph_query.hpp"

#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"

#line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"
#include<ranges>
#line 7 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"

namespace noya2::internal {

template<class E>
struct csr final {
    csr () {}
    csr (int _n) : n(_n) {}
    csr (int _n, int m) : n(_n){
        start.reserve(m);
        elist.reserve(m);
    }
    // ACL style constructor (do not have to call build)
    csr (int _n, const std::vector<std::pair<int,E>> &idx_elem) : n(_n), start(_n + 2), elist(idx_elem.size()) {
        for (auto &[i, e] : idx_elem){
            start[i + 2]++;
        }
        for (int i = 1; i < n; i++){
            start[i + 2] += start[i + 1];
        }
        for (auto &[i, e] : idx_elem){
            elist[start[i + 1]++] = e;
        }
        prepared = true;
    }
    int add(int idx, E elem){
        int eid = start.size();
        start.emplace_back(idx);
        elist.emplace_back(elem);
        return eid;
    }
    void build(){
        if (prepared) return ;
        int m = start.size();
        std::vector<E> nelist(m);
        std::vector<int> nstart(n + 2, 0);
        for (int i = 0; i < m; i++){
            nstart[start[i] + 2]++;
        }
        for (int i = 1; i < n; i++){
            nstart[i + 2] += nstart[i + 1];
        }
        for (int i = 0; i < m; i++){
            nelist[nstart[start[i] + 1]++] = elist[i];
        }
        swap(elist,nelist);
        swap(start,nstart);
        prepared = true;
    }
    const auto operator[](int idx) const {
        return std::ranges::subrange(elist.begin()+start[idx],elist.begin()+start[idx+1]);
    }
    auto operator[](int idx){
        return std::ranges::subrange(elist.begin()+start[idx],elist.begin()+start[idx+1]);
    }
    const auto operator()(int idx, int l, int r) const {
        return std::ranges::subrange(elist.begin()+start[idx]+l,elist.begin()+start[idx]+r);
    }
    auto operator()(int idx, int l, int r){
        return std::ranges::subrange(elist.begin()+start[idx]+l,elist.begin()+start[idx]+r);
    }
    int n;
    std::vector<int> start;
    std::vector<E> elist;
    bool prepared = false;
};

} // namespace noya2::internal
#line 5 "/Users/noya2/Desktop/Noya2_library/graph/graph_query.hpp"

namespace noya2 {

template<typename Cost>
struct Graph {
    int n, m;
    internal::csr<pair<int,Cost>> g;
    Cost dist_inf = numeric_limits<Cost>::max() / 2;
    Graph (int n_ = 0) : n(n_), m(-1), g(n_) {}
    Graph (int n_, int m_) : n(n_), m(m_), g(n_,m_) {}
    // 有向辺を追加 (無向辺ではないことに注意！)
    int add_edge(int u, int v, Cost cost = 1){
        int id = g.add(u,pair<int,Cost>(v,cost));
        if (id == m-1) build();
        return id;
    }
    void build(){
        g.build();
    }
    void set_inf(Cost new_inf){
        dist_inf = new_inf;
    }
    vector<Cost> dijkstra(int s){
        vector<Cost> dist(n,dist_inf);
        dist[s] = 0;
        using P = pair<Cost,int>;
        priority_queue<P,vector<P>,greater<P>> pque;
        pque.push(P(0,s));
        while (!pque.empty()){
            auto [d, v] = pque.top(); pque.pop();
            if (dist[v] < d) continue;
            for (auto [u, c] : g[v]){
                if (chmin(dist[u],d+c)){
                    pque.push(P(dist[u],u));
                }
            }
        }
        return dist;
    }
    vector<int> reconstruct(int s, int t, const vector<Cost> &dist){
        if (dist[t] == dist_inf) return {};
        vector<int> from(n,-1);
        queue<int> que;
        que.push(s);
        while (!que.empty()){
            int v = que.front(); que.pop();
            for (auto [u, c] : g[v]){
                if (from[u] == -1 && dist[u] == dist[v] + c){
                    from[u] = v;
                    que.push(u);
                }
            }
        }
        vector<int> ans = {t};
        while (t != s){
            t = from[t];
            ans.emplace_back(t);
        }
        reverse(all(ans));
        return ans;
    }
    vector<Cost> bfs01(int s){
        vector<Cost> dist(n,dist_inf);
        dist[s] = 0;
        deque<int> que;
        que.push_back(s);
        while (!que.empty()){
            int v = que.front(); que.pop_front();
            for (auto [u, c] : g[v]){
                if (chmin(dist[u],dist[v]+c)){
                    if (c == 0) que.push_front(u);
                    else que.push_back(u);
                }
            }
        }
        return dist;
    }
    vector<Cost> bfs1(int s){
        vector<Cost> dist(n,dist_inf);
        dist[s] = 0;
        queue<int> que;
        que.push(s);
        while (!que.empty()){
            int v = que.front(); que.pop();
            for (auto [u, c] : g[v]){
                if (chmin(dist[u],dist[v]+c)){
                    que.push(u);
                }
            }
        }
        return dist;
    }
    vector<Cost> bellman_ford(int s, bool &ng_cycle){
        vector<Cost> dist(n,dist_inf);
        vector<int> ng;
        dist[s] = 0;
        int tm = 0;
        while (tm < n){
            bool finish = true;
            for (int v = 0; v < n; v++){
                if (dist[v] == dist_inf) continue;
                for (auto [u, c] : g[v]){
                    if (chmin(dist[u],dist[v]+c)){
                        finish = false;
                        if (tm == n-1) ng.emplace_back(u);
                    }
                }
            }
            if (finish) break;
            tm++;
        }
        ng_cycle = (tm == n);
        if (ng_cycle){
            for (auto v : ng) dist[v] = -dist_inf;
            tm = n;
            while (tm--){
                for (int v = 0; v < n; v++){
                    if (dist[v] != -dist_inf) continue;
                    for (auto [u, c] : g[v]){
                        dist[u] = -dist_inf;
                    }
                }
            }
        }
        return dist;
    }
    vector<vector<Cost>> warshall_floyd(){
        vector<vector<Cost>> dist(n,vector<Cost>(n,dist_inf));
        rep(v,n){
            dist[v][v] = 0;
            for (auto [u, c] : g[v]){
                chmin(dist[v][u],c);
            }
        }
        rep(k,n) rep(i,n) rep(j,n){
            chmin(dist[i][j],dist[i][k]+dist[k][j]);
        }
        return dist;
    }
    const auto operator[](int idx) const { return g[idx]; }
    auto operator[](int idx) { return g[idx]; }
};

} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/dsu.hpp"

#line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/dsu.hpp"

namespace noya2{

struct dsu {
  public:
    dsu() : _n(0) {}
    dsu(int n) : _n(n), parent_or_size(n, -1) {}

    int merge(int a, int b) {
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        int x = leader(a), y = leader(b);
        if (x == y) return x;
        if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y);
        parent_or_size[x] += parent_or_size[y];
        parent_or_size[y] = x;
        return x;
    }

    bool same(int a, int b) {
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        return leader(a) == leader(b);
    }

    int leader(int a) {
        assert(0 <= a && a < _n);
        if (parent_or_size[a] < 0) return a;
        return parent_or_size[a] = leader(parent_or_size[a]);
    }

    int size(int a) {
        assert(0 <= a && a < _n);
        return -parent_or_size[leader(a)];
    }

    std::vector<std::vector<int>> groups() {
        std::vector<int> leader_buf(_n), group_size(_n);
        for (int i = 0; i < _n; i++) {
            leader_buf[i] = leader(i);
            group_size[leader_buf[i]]++;
        }
        std::vector<std::vector<int>> result(_n);
        for (int i = 0; i < _n; i++) {
            result[i].reserve(group_size[i]);
        }
        for (int i = 0; i < _n; i++) {
            result[leader_buf[i]].push_back(i);
        }
        result.erase(
            std::remove_if(result.begin(), result.end(),
                           [&](const std::vector<int>& v) { return v.empty(); }),
            result.end());
        return result;
    }

  private:
    int _n;
    // root node: -1 * component size
    // otherwise: parent
    std::vector<int> parent_or_size;
};

} // namespace noya2
#line 5 "c.cpp"

void unknown(){
    out("Unknown");
}

void solve(){
    int n, m; in(n,m);
    int s, t, k; in(s,t,k);
    s--, t--;
    Graph<int> g(n,m*2);
    dsu d(n);
    rep(i,m){
        int u, v; in(u,v); u--, v--;
        g.add_edge(u,v);
        g.add_edge(v,u);
        d.merge(u,v);
    }
    g.build();
    if (!d.same(s,t)){
        if (n == 2 && m == 0 && k % 2 == 0){
            no();
            return ;
        }
        unknown();
        return ;
    }
    if (s == t){
        if (k % 2 == 1){
            no();
            return ;
        }
        if (g[s].empty()){
            if (n == 1){
                no();
            }
            else {
                unknown();
            }
        }
        else {
            yes();
        }
        return ;
    }
    vector<int> col(n,-1);
    queue<int> que;
    rep(i,n){
        if (col[i] != -1) continue;
        que.push(i);
        while (!que.empty()){
            int v = que.front(); que.pop();
            for (auto [u, c] : g[v]){
                if (col[u] == -1){
                    col[u] = col[v]^1;
                    que.push(u);
                }
            }
        }
    }
    if (k % 2 != (col[s]^col[t])){
        no();
        return ;
    }
    int dist = g.bfs1(s)[t];
    if (dist <= k){
        yes();
    }
    else {
        out("Unknown");
    }
}

int main(){
    int t = 1; //in(t);
    while (t--) { solve(); }
}

yukicoder

結果

テストケース

ソースコード