結果

問題 No.2277 Honest or Dishonest ?
ユーザー kaikeykaikey
提出日時 2023-04-21 21:52:21
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 84 ms / 2,000 ms
コード長 9,123 bytes
コンパイル時間 2,843 ms
コンパイル使用メモリ 231,896 KB
実行使用メモリ 13,696 KB
最終ジャッジ日時 2024-11-08 06:30:13
合計ジャッジ時間 6,772 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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 56 ms
10,752 KB
testcase_04 AC 67 ms
12,032 KB
testcase_05 AC 40 ms
9,984 KB
testcase_06 AC 44 ms
9,344 KB
testcase_07 AC 37 ms
8,448 KB
testcase_08 AC 39 ms
10,880 KB
testcase_09 AC 42 ms
9,600 KB
testcase_10 AC 26 ms
7,040 KB
testcase_11 AC 13 ms
5,248 KB
testcase_12 AC 19 ms
6,272 KB
testcase_13 AC 50 ms
9,984 KB
testcase_14 AC 22 ms
6,656 KB
testcase_15 AC 32 ms
8,832 KB
testcase_16 AC 38 ms
8,320 KB
testcase_17 AC 17 ms
5,760 KB
testcase_18 AC 59 ms
11,648 KB
testcase_19 AC 60 ms
11,776 KB
testcase_20 AC 44 ms
9,728 KB
testcase_21 AC 33 ms
7,936 KB
testcase_22 AC 38 ms
8,704 KB
testcase_23 AC 43 ms
9,344 KB
testcase_24 AC 33 ms
8,320 KB
testcase_25 AC 52 ms
10,880 KB
testcase_26 AC 33 ms
10,368 KB
testcase_27 AC 23 ms
6,400 KB
testcase_28 AC 31 ms
8,320 KB
testcase_29 AC 44 ms
9,856 KB
testcase_30 AC 22 ms
6,528 KB
testcase_31 AC 39 ms
8,832 KB
testcase_32 AC 39 ms
9,472 KB
testcase_33 AC 56 ms
11,392 KB
testcase_34 AC 56 ms
11,136 KB
testcase_35 AC 19 ms
7,424 KB
testcase_36 AC 35 ms
8,192 KB
testcase_37 AC 51 ms
9,984 KB
testcase_38 AC 11 ms
5,248 KB
testcase_39 AC 15 ms
5,580 KB
testcase_40 AC 16 ms
6,400 KB
testcase_41 AC 66 ms
11,520 KB
testcase_42 AC 44 ms
9,344 KB
testcase_43 AC 76 ms
13,568 KB
testcase_44 AC 76 ms
13,568 KB
testcase_45 AC 78 ms
13,696 KB
testcase_46 AC 81 ms
13,440 KB
testcase_47 AC 73 ms
13,568 KB
testcase_48 AC 76 ms
13,440 KB
testcase_49 AC 76 ms
13,568 KB
testcase_50 AC 77 ms
13,568 KB
testcase_51 AC 84 ms
13,696 KB
testcase_52 AC 83 ms
13,568 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 # 

#include "bits/stdc++.h"
#include <random>
#include <chrono>
#define ALL(x) (x).begin(), (x).end()
#define RALL(x) (x).rbegin(), (x).rend()
#define SZ(x) ((lint)(x).size())
#define FOR(i, begin, end) for(lint i=(begin),i##_end_=(end);i<i##_end_;++i)
#define IFOR(i, begin, end) for(lint i=(end)-1,i##_begin_=(begin);i>=i##_begin_;--i)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
#define endk '\n'
using namespace std; typedef unsigned long long _ulong; typedef long long int lint; typedef double ld; typedef pair<lint, lint> plint; typedef pair<ld, ld> pld;
struct fast_ios { fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(30); }; } fast_ios_;
template<class T> auto add = [](T a, T b) -> T { return a + b; };
template<class T> auto mul = [](T a, T b) -> T { return a * b; };
template<class T> auto f_max = [](T a, T b) -> T { return max(a, b); };
template<class T> auto f_min = [](T a, T b) -> T { return min(a, b); };
template<class T> using V = vector<T>;
using Vl = V<lint>; using VVl = V<Vl>; using VVVl = V<V<Vl>>;
template< typename T > ostream& operator<<(ostream& os, const vector< T >& v) {
    for (int i = 0; i < (int)v.size(); i++) os << v[i] << (i + 1 != v.size() ? " " : "");
    return os;
}
template< typename T >istream& operator>>(istream& is, vector< T >& v) {
    for (T& in : v) is >> in;
    return is;
}
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; }
template <class T>
T div_floor(T a, T b) {
    if (b < 0) a *= -1, b *= -1;
    return a >= 0 ? a / b : (a + 1) / b - 1;
}
template <class T>
T div_ceil(T a, T b) {
    if (b < 0) a *= -1, b *= -1;
    return a > 0 ? (a - 1) / b + 1 : a / b;
}
template <class F> struct rec {
    F f;
    rec(F&& f_) : f(std::forward<F>(f_)) {}
    template <class... Args> auto operator()(Args &&... args) const {
        return f(*this, std::forward<Args>(args)...);
    }
};
lint gcd(lint a, lint b) { if (b == 0) return a; else return gcd(b, a % b); }
lint digit(lint a) { return (lint)log10(a); }
lint e_dist(plint a, plint b) { return abs(a.first - b.first) * abs(a.first - b.first) + abs(a.second - b.second) * abs(a.second - b.second); }
lint m_dist(plint a, plint b) { return abs(a.first - b.first) + abs(a.second - b.second); }
bool check_overflow(lint a, lint b, lint limit) { if (b == 0) return false; return a > limit / b; } // a * b > c => true
void Worshall_Floyd(VVl& g) { REP(k, SZ(g)) REP(i, SZ(g)) REP(j, SZ(g)) chmin(g[i][j], g[i][k] + g[k][j]); }
const long long MOD1000000007 = 1000000007, MOD998244353 = 998244353, INF = 1e18;
lint dx[8] = { 0, 1, 0, -1, 1, -1, 1, -1 }, dy[8] = { 1, 0, -1, 0, -1, -1, 1, 1 };
bool YN(bool flag) { cout << (flag ? "YES" : "NO") << endk; return flag; } bool yn(bool flag) { cout << (flag ? "Yes" : "No") << endk; return flag; }
struct Edge {
    lint from, to;
    lint cost;
    Edge() {

    }
    Edge(lint u, lint v, lint c) {
        cost = c;
        from = u;
        to = v;
    }
    bool operator<(const Edge& e) const {
        return cost < e.cost;
    }
};
struct WeightedEdge {
    lint to;
    lint cost;
    WeightedEdge(lint v, lint c) {
        to = v;
        cost = c;
    }
    bool operator<(const WeightedEdge& e) const {
        return cost < e.cost;
    }
};
using WeightedGraph = V<V<WeightedEdge>>;
typedef pair<plint, lint> tlint;
typedef pair<ld, ld> pld;
typedef pair<plint, plint> qlint;
typedef pair<lint, string> vstr;
typedef pair<lint, Vl> valv;
typedef pair<set<lint>, set<lint>> pset;


template <std::int_fast64_t Modulus>
class modint
{
	using u64 = std::int_fast64_t;

public:
	u64 a;
	constexpr modint(const u64 x = 0) noexcept : a(x% Modulus) {}
	constexpr u64& value() noexcept { return a; }
	constexpr const u64& value() const noexcept { return a; }
	constexpr modint operator+(const modint rhs) const noexcept
	{
		return modint(*this) += rhs;
	}
	constexpr modint operator-(const modint rhs) const noexcept
	{
		return modint(*this) -= rhs;
	}
	constexpr modint operator*(const modint rhs) const noexcept
	{
		return modint(*this) *= rhs;
	}
	constexpr modint operator/(const modint rhs) const noexcept
	{
		return modint(*this) /= rhs;
	}
	constexpr modint& operator+=(const modint rhs) noexcept
	{
		a += rhs.a;
		if (a >= Modulus)
		{
			a -= Modulus;
		}
		return *this;
	}
	constexpr modint& operator-=(const modint rhs) noexcept
	{
		if (a < rhs.a)
		{
			a += Modulus;
		}
		a -= rhs.a;
		return *this;
	}
	constexpr modint& operator*=(const modint rhs) noexcept
	{
		a = a * rhs.a % Modulus;
		return *this;
	}
	constexpr modint& operator/=(modint rhs) noexcept
	{
		u64 exp = Modulus - 2;
		while (exp)
		{
			if (exp % 2)
			{
				*this *= rhs;
			}
			rhs *= rhs;
			exp /= 2;
		}
		return *this;
	}
};
typedef modint<MOD998244353> ModInt;

ModInt mod_pow(ModInt x, lint n) {
	ModInt ret = 1;
	while (n > 0) {
		if (n & 1) (ret *= x);
		(x *= x);
		n >>= 1;
	}
	return ret;
}

ModInt func[200000];
void funcinit(int N)
{
	func[0] = 1;
	for (int i = 1; i <= N; i++)
	{
		func[i] = func[i - 1] * i;
	}
}
ModInt comb(ModInt n, ModInt r)
{
	if (n.a <= 0 || n.a < r.a)
	{
		return 1;
	}
	return func[n.a] / (func[r.a] * func[(n - r).a]);
}

struct UnionFind {
public:
    UnionFind() : _n(0) {}
    UnionFind(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);
        if (used_count) {
            if (count_in_set[x].size() < count_in_set[y].size()) {
                std::swap(count_in_set[x], count_in_set[y]);
            }
            for (auto p : count_in_set[y]) {
                count_in_set[x][p.first] += p.second;
            }
        }
        if (set_operate) {
            root_values[x] = f(root_values[y], root_values[x]);
        }
        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;
    }
    //update root calc
    //set by set operations
    void set_operate_and_value(std::vector<lint> array, function<lint(lint, lint)> _f) {
        f = _f;
        root_values = array;
        set_operate = true;
    }
    lint get_set_value(int a) {
        return root_values[leader(a)];
    }

    //regist count
    void regist_count(int a, int label) {
        if (!used_count) {
            used_count = true;
            count_in_set.assign(_n, std::map<int, int>());
        }
        count_in_set[leader(a)][label]++;
    }

    int get_count(int a, int label) {
        if (!used_count) return -1;
        return count_in_set[leader(a)][label];
    }

private:
    int _n;
    std::vector<int> parent_or_size;
    std::vector<std::map<int, int>> count_in_set;
    bool used_count = false;
    std::vector<lint> root_values;
    function<lint(lint, lint)> f;
    bool set_operate = false;
};

int main() {
	lint N, Q;
	cin >> N >> Q;
	WeightedGraph g(N);
    UnionFind tree(N);
	REP(i, Q) {
		lint A, B, C;
		cin >> A >> B >> C; A--; B--;
        g[A].push_back({ B, C });
        g[B].push_back({ A, C });
        tree.merge(A, B);
	}

    ModInt ans = 1;
	Vl color(N, -1);
    auto dfs = [&](auto&& dfs, lint curr) -> void {
        for (auto e : g[curr]) {
            if (color[e.to] == -1) {
                color[e.to] = color[curr] ^ e.cost;
                dfs(dfs, e.to);
            }
            else {
                if (color[e.to] != (color[curr] ^ e.cost)) ans = 0;
            }
        }
    };
    set<lint> st;
    REP(i, N) {
        if (st.count(tree.leader(i))) continue;
        st.insert(tree.leader(i));
        color[i] = 0;
        dfs(dfs, i);
    }
    REP(i, N) {
        for (auto e : g[i]) {
            if (color[e.to] != (color[i] ^ e.cost)) ans = 0;
        }
    }
    ans *= mod_pow(2, SZ(st));
    cout << ans.a << endk;
}
0