結果

問題 No.2277 Honest or Dishonest ?
ユーザー 👑 seekworserseekworser
提出日時 2023-04-22 03:25:35
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 45 ms / 2,000 ms
コード長 15,802 bytes
コンパイル時間 3,667 ms
コンパイル使用メモリ 267,684 KB
実行使用メモリ 12,544 KB
最終ジャッジ日時 2024-11-08 06:49:44
合計ジャッジ時間 6,764 ms
ジャッジサーバーID
(参考情報)
judge4 / judge1
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
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 36 ms
9,728 KB
testcase_04 AC 38 ms
11,136 KB
testcase_05 AC 18 ms
9,216 KB
testcase_06 AC 29 ms
7,808 KB
testcase_07 AC 25 ms
7,680 KB
testcase_08 AC 18 ms
10,240 KB
testcase_09 AC 26 ms
8,960 KB
testcase_10 AC 18 ms
6,144 KB
testcase_11 AC 10 ms
5,248 KB
testcase_12 AC 15 ms
5,248 KB
testcase_13 AC 32 ms
8,704 KB
testcase_14 AC 19 ms
5,248 KB
testcase_15 AC 16 ms
8,192 KB
testcase_16 AC 24 ms
7,552 KB
testcase_17 AC 13 ms
5,248 KB
testcase_18 AC 35 ms
10,880 KB
testcase_19 AC 36 ms
10,880 KB
testcase_20 AC 28 ms
8,960 KB
testcase_21 AC 23 ms
6,400 KB
testcase_22 AC 25 ms
8,064 KB
testcase_23 AC 30 ms
6,656 KB
testcase_24 AC 23 ms
8,064 KB
testcase_25 AC 29 ms
10,240 KB
testcase_26 AC 15 ms
9,984 KB
testcase_27 AC 16 ms
5,248 KB
testcase_28 AC 16 ms
7,808 KB
testcase_29 AC 22 ms
9,088 KB
testcase_30 AC 16 ms
5,248 KB
testcase_31 AC 26 ms
6,400 KB
testcase_32 AC 21 ms
8,832 KB
testcase_33 AC 37 ms
10,496 KB
testcase_34 AC 34 ms
7,936 KB
testcase_35 AC 10 ms
7,040 KB
testcase_36 AC 23 ms
6,016 KB
testcase_37 AC 31 ms
7,040 KB
testcase_38 AC 8 ms
5,248 KB
testcase_39 AC 11 ms
5,248 KB
testcase_40 AC 8 ms
6,144 KB
testcase_41 AC 36 ms
7,936 KB
testcase_42 AC 26 ms
6,656 KB
testcase_43 AC 38 ms
8,576 KB
testcase_44 AC 44 ms
12,416 KB
testcase_45 AC 44 ms
12,544 KB
testcase_46 AC 45 ms
12,416 KB
testcase_47 AC 45 ms
12,288 KB
testcase_48 AC 45 ms
12,288 KB
testcase_49 AC 39 ms
8,576 KB
testcase_50 AC 39 ms
8,576 KB
testcase_51 AC 38 ms
8,576 KB
testcase_52 AC 39 ms
8,576 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 #

// line 1 "answer.cpp"
#if !__INCLUDE_LEVEL__
#include __FILE__
int main() {
    ll n,q;
    input(n,q);
    UnionFind uf(n);
    vi from(q), to(q), cost(q);
    rep(i, q) {
        ll a,b,c;
        input(a,b,c);
        if (!uf.same(a-1, b-1)) { uf.merge(a-1, b-1); }
        from[i] = a-1;
        to[i] = b-1;
        cost[i] = c;
    }
    Graph g(n, from, to, cost, true);
    vl color(n,-1);
    auto dfs = [&] (auto self, ll x, ll c) -> bool {
        // debug(x, c);
        if (color[x] != -1) {
            return c == color[x];
        }
        color[x] = c;
        bool rev = true;
        repe(e, g[x]) {
            if (!self(self, e.to, c ^ e.cost)) rev = false;
        }
        return rev;
    };
    // debug(g);
    rep(i, n) {
        if (color[i] != -1) continue;
        if (!dfs(dfs, i, 0)) {
            print(0);
            return 0;
        }
        // debug(color);
    }
    print(powm(2, sz(uf.groups()), MODINT998244353));
}
#else
// line 2 "/home/seekworser/.cpp_lib/competitive_library/competitive/std/std.hpp"
#include <bits/stdc++.h>
#ifndef LOCAL_TEST
#pragma GCC target ("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#endif // LOCAL_TEST
using namespace std;
// 型名の短縮
using ll = long long;
using pii = pair<int, int>; using pll = pair<ll, ll>;
using vi = vector<int>;  using vvi = vector<vi>; using vvvi = vector<vvi>;
using vl = vector<ll>;  using vvl = vector<vl>; using vvvl = vector<vvl>;
using vb = vector<bool>; using vvb = vector<vb>; using vvvb = vector<vvb>;
using vc = vector<char>; using vvc = vector<vc>; using vvvc = vector<vvc>;
using vd = vector<double>; using vvd = vector<vd>; using vvvd = vector<vvd>;
using vs = vector<string>; using vvs = vector<vector<string>>; using vvvs = vector<vector<vector<string>>>;
template<typename T> vector<vector<T>> vv(int h, int w, T val = T()) { return vector(h, vector<T>(w, val)); }
template<typename T> vector<vector<vector<T>>> vvv(int h1, int h2, int h3, T val = T()) { return vector(h1, vector(h2, vector<T>(h3, val))); }
template<typename T> vector<vector<vector<vector<T>>>> vvvv(int h1, int h2, int h3, int h4, T val = T()) { return vector(h1, vector(h2, vector(h3, vector<T>(h4, val)))); }
template <class T> using priority_queue_min = priority_queue<T, vector<T>, greater<T>>;
// 定数の定義
constexpr double PI = 3.14159265358979323;
constexpr int INF = 100100111; constexpr ll INFL = 3300300300300300491LL;
float EPS = 1e-8; double EPSL = 1e-16;
template<typename T> bool eq(const T x, const T y) { return x == y; }
template<> bool eq<double>(const double x, const double y) { return abs(x - y) < EPSL; }
template<> bool eq<float>(const float x, const float y) { return abs(x - y) < EPS; }
template<typename T> bool neq(const T x, const T y) { return !(eq<T>(x, y)); }
template<typename T> bool ge(const T x, const T y) { return (eq<T>(x, y) || (x > y)); }
template<typename T> bool le(const T x, const T y) { return (eq<T>(x, y) || (x < y)); }
template<typename T> bool gt(const T x, const T y) { return !(le<T>(x, y)); }
template<typename T> bool lt(const T x, const T y) { return !(ge<T>(x, y)); }
constexpr int MODINT998244353 = 998244353;
constexpr int MODINT1000000007 = 1000000007;
// 入出力高速化
struct Nyan { Nyan() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } nyan;
// 汎用マクロの定義
#define all(a) (a).begin(), (a).end()
#define sz(x) ((ll)(x).size())
#define rep1(n) for(ll dummy_iter = 0LL; dummy_iter < n; ++dummy_iter) // 0 から n-1 まで昇順
#define rep2(i, n) for(ll i = 0LL, i##_counter = 0LL; i##_counter < ll(n); ++(i##_counter), (i) = i##_counter) // 0 から n-1 まで昇順
#define rep3(i, s, t) for(ll i = ll(s), i##_counter = ll(s); i##_counter < ll(t); ++(i##_counter), (i) = (i##_counter)) // s から t まで昇順
#define rep4(i, s, t, step) for(ll i##_counter = step > 0 ? ll(s) : -ll(s), i##_end = step > 0 ? ll(t) : -ll(t), i##_step = abs(step), i = ll(s); i##_counter < i##_end; i##_counter += i##_step, i = step > 0 ? i##_counter : -i##_counter) // s から t まで stepずつ
#define overload4(a, b, c, d, e, ...) e
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define repe(a, v) for(auto& a : (v)) // v の全要素(変更可能)
#define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod
#define sdiv(n, m) (((n) - smod(n, m)) / (m)) // 非負div
#define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去
void Yes(bool b=true) { cout << (b ? "Yes\n" : "No\n"); return; };
void YES(bool b=true) { cout << (b ? "YES\n" : "NO\n"); return; };
void No(bool b=true) {Yes(!b);};
void NO(bool b=true) {YES(!b);};
template<typename T, size_t N> T max(array<T, N>& a) { return *max_element(all(a)); };
template<typename T, size_t N> T min(array<T, N>& a) { return *min_element(all(a)); };
template<typename T> T max(vector<T>& a) { return *max_element(all(a)); };
template<typename T> T min(vector<T>& a) { return *min_element(all(a)); };
template<typename T> vector<T> vec_slice(const vector<T>& a, int l, int r) { vector<T> rev; rep(i, l, r) rev.push_back(a[i]); return rev; };
template<typename T> T sum(vector<T>& a, T zero = T(0)) { T rev = zero; rep(i, sz(a)) rev += a[i]; return rev; };
template<typename T> bool in_range(const T& val, const T& s, const T& t) { return s <= val && val < t; };

template <class T> inline vector<T>& operator--(vector<T>& v) { repe(x, v) --x; return v; }
template <class T> inline vector<T>& operator++(vector<T>& v) { repe(x, v) ++x; return v; }

// modでのpow
ll powm(ll a, ll n, ll mod=INFL) {
    ll res = 1;
    while (n > 0) {
        if (n & 1) res = (res * a) % mod;
        if (n > 1) a = (a * a) % mod;
        n >>= 1;
    }
    return res;
}
// 整数Sqrt
ll sqrtll(ll x) {
    assert(x >= 0);
    ll rev = sqrt(x);
    while(rev * rev > x) --rev;
    while((rev+1) * (rev+1)<=x) ++rev;
    return rev;
}
template <class T> inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す)
template <class T> inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す)
int digit(ll x, int d=10) { int rev=0; while (x > 0) { rev++; x /= d;}; return rev; } // xのd進数桁数
/**
 * @brief std.hpp
 * @docs docs/std/std.md
 */
// line 5 "/home/seekworser/.cpp_lib/competitive_library/atcoder/dsu.hpp"

namespace atcoder {

// Implement (union by size) + (path compression)
// Reference:
// Zvi Galil and Giuseppe F. Italiano,
// Data structures and algorithms for disjoint set union problems
struct dsu {
  public:
    dsu() : _n(0) {}
    explicit 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 atcoder
// line 4 "/home/seekworser/.cpp_lib/competitive_library/competitive/data_structure/union_find.hpp"
ostream& operator<<(ostream& os, atcoder::dsu& uf) {
    repe(g, uf.groups()) rep(i, sz(g)) {
        cout << g[i];
        if (i != sz(g) - 1) cout << " ";
        else cout << "\n";
    }
    return os;
}
using UnionFind = atcoder::dsu;
/**
 * @brief Union Find
 * @docs docs/data_structure/union_find.md
 */
// line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/graph/graph.hpp"
template <class Cost> struct Graph{
public:
    struct Edge {
        int to;
        Cost cost;
        Edge() {};
        Edge(int _to, Cost _cost) : to(_to), cost(_cost) {};
    };
    struct AdjacencyListRange{
        using iterator = typename std::vector<Edge>::const_iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)distance(begi, endi); }
        const Edge& operator[](int i) const { return begi[i]; }
    };
private:
public:
    vector<Edge> E;
    vector<int> I;
    int n;
    Graph() : n(0) {}
    Graph(int _n) : n(_n) {}
    Graph(int _n, const vector<int>& from, vector<int>& to, vector<Cost>& cost, bool rev = false) : n(_n) {
        vector<int> buf(n+1, 0);
        for(int i=0; i<(int)from.size(); i++){
            ++buf[from[i]];
            if (rev) ++buf[to[i]];
        }
        for(int i=1; i<=_n; i++) buf[i] += buf[i-1];
        E.resize(buf[n]);
        for(int i=(int)from.size()-1; i>=0; i--){
            int u = from[i];
            int v = to[i];
            Cost c = cost[i];
            E[--buf[u]] = Edge(v, c);
            if(rev) E[--buf[v]] = Edge(u, c);
        }
        I = move(buf);
    }
    AdjacencyListRange operator[](int u) const {
        return AdjacencyListRange{ E.begin() + I[u], E.begin() + I[u+1] };
    }
    int num_vertices() const { return n; }
    int size() const { return num_vertices(); }
    int num_edges() const { return E.size(); }
    Graph<Cost> reversed_edges() const {
        Graph<Cost> res;
        int _n = res.n = n;
        vi buf(n+1, 0);
        for(auto v : E) ++buf[v.to];
        for(int i=1; i<=n; i++) buf[i] += buf[i-1];
        res.E.resize(buf[n]);
        for(int u=0; u<n; u++) for(auto v : operator[](u)) res.E[--buf[v.to]] = {u, v.cost};
        res.I = std::move(buf);
        return res;
    }
};
template <class T> ostream& operator<<(ostream& os, Graph<T> g) {
    bool first = true;
    rep(i, g.n) repe(e, g[i]) {
        if (first) first = false;
        else os << endl;
        os << i << "->" << e.to << ": " << e.cost;
    }
    return os;
}
/**
 * @brief graph.hpp
 * @docs docs/graph/graph.md
 */
// line 3 "/home/seekworser/.cpp_lib/competitive_library/competitive/std/io.hpp"
// 演算子オーバーロード(プロトタイプ宣言)
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p);
template <class T> inline istream& operator>>(istream& is, vector<T>& v);
template <class T, class U> inline ostream& operator<<(ostream& os, const pair<T, U>& p);
template <class T> inline ostream& operator<<(ostream& os, const vector<T>& v);
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp);
template <typename T> ostream &operator<<(ostream &os, const set<T> &st);
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st);
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &st);
template <typename T> ostream &operator<<(ostream &os, queue<T> q);
template <typename T> ostream &operator<<(ostream &os, deque<T> q);
template <typename T> ostream &operator<<(ostream &os, stack<T> st);
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq);

// 演算子オーバーロード
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; }
template <class T> inline istream& operator>>(istream& is, vector<T>& v) { repe(x, v) is >> x; return is; }
template <class T, class U> inline ostream& operator<<(ostream& os, const pair<T, U>& p) { os << p.first << " " << p.second; return os; }
template <class T> inline ostream& operator<<(ostream& os, const vector<T>& v) { rep(i, sz(v)) { os << v.at(i); if (i != sz(v) - 1) os << " "; } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp) { for (auto &[key, val] : mp) { os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st) { auto itr = st.begin(); for (int i = 0; i < (int)st.size(); i++) { os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st) { auto itr = st.begin(); for (int i = 0; i < (int)st.size(); i++) { os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &st) { ll cnt = 0; for (auto &e : st) { os << e << (++cnt != (int)st.size() ? " " : ""); } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q) { while (q.size()) { os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q) { while (q.size()) { os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st) { while (st.size()) { os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq) { while (pq.size()) { os << pq.top() << " "; pq.pop(); } return os; }

template <typename T> void print_sep_end(string sep, string end, const T& val) { (void)sep; cout << val << end; };
template <typename T1, typename... T2> void print_sep_end(string sep, string end, const T1 &val, const T2 &...remain) {
    cout << val << sep;
    print_sep_end(sep, end, remain...);
};
template <typename... T> void print(const T &...args) { print_sep_end(" ", "\n", args...); };
template <typename... T> void flush() { cout << flush; };
template <typename... T> void print_and_flush(const T &...args) { print(args...); flush(); };
#define debug(...) debug_func(0, #__VA_ARGS__, __VA_ARGS__) // debug print
template <typename T> void input(T &a) { cin >> a; };
template <typename T1, typename... T2> void input(T1&a, T2 &...b) { cin >> a; input(b...); };
#ifdef LOCAL_TEST
template <typename T>
void debug_func(int i, T name) { (void)i; (void)name; cerr << endl; }
template <typename T1, typename T2, typename... T3> void debug_func(int i, const T1 &name, const T2 &a, const T3 &...b) {
    int scope = 0;
    for ( ; (scope != 0 || name[i] != ',') && name[i] != '\0'; i++ ) {
        cerr << name[i];
        if (name[i] == '(' || name[i] == '{') scope++;
        if (name[i] == ')' || name[i] == '}') scope--;
    }
    cerr << ":" << a << " ";
    debug_func(i + 1, name, b...);
}
#endif
#ifndef LOCAL_TEST
template <typename... T>
void debug_func(const T &...) {}
#endif
/**
 * @brief io.hpp
 * @docs docs/std/io.md
 */
// line 46 "answer.cpp"
#endif
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