結果
問題 | No.2531 Coloring Vertices on Namori |
ユーザー |
|
提出日時 | 2023-11-03 22:01:08 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 134 ms / 2,000 ms |
コード長 | 8,399 bytes |
コンパイル時間 | 2,307 ms |
コンパイル使用メモリ | 207,980 KB |
最終ジャッジ日時 | 2025-02-17 18:15:59 |
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 31 |
ソースコード
#include <bits/stdc++.h>using namespace std;#define rep(i, n) for (int i = 0; i < (n); i++)#define per(i, n) for (int i = (n)-1; i >= 0; i--)#define rep2(i, l, r) for (int i = (l); i < (r); i++)#define per2(i, l, r) for (int i = (r)-1; i >= (l); i--)#define each(e, v) for (auto &e : v)#define MM << " " <<#define pb push_back#define eb emplace_back#define all(x) begin(x), end(x)#define rall(x) rbegin(x), rend(x)#define sz(x) (int)x.size()using ll = long long;using pii = pair<int, int>;using pil = pair<int, ll>;using pli = pair<ll, int>;using pll = pair<ll, ll>;template <typename T>using minheap = priority_queue<T, vector<T>, greater<T>>;template <typename T>using maxheap = priority_queue<T>;template <typename T>bool chmax(T &x, const T &y) {return (x < y) ? (x = y, true) : false;}template <typename T>bool chmin(T &x, const T &y) {return (x > y) ? (x = y, true) : false;}template <typename T>int flg(T x, int i) {return (x >> i) & 1;}int pct(int x) { return __builtin_popcount(x); }int pct(ll x) { return __builtin_popcountll(x); }int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }template <typename T>void print(const vector<T> &v, T x = 0) {int n = v.size();for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');if (v.empty()) cout << '\n';}template <typename T>void printn(const vector<T> &v, T x = 0) {int n = v.size();for (int i = 0; i < n; i++) cout << v[i] + x << '\n';}template <typename T>int lb(const vector<T> &v, T x) {return lower_bound(begin(v), end(v), x) - begin(v);}template <typename T>int ub(const vector<T> &v, T x) {return upper_bound(begin(v), end(v), x) - begin(v);}template <typename T>void rearrange(vector<T> &v) {sort(begin(v), end(v));v.erase(unique(begin(v), end(v)), end(v));}template <typename T>vector<int> id_sort(const vector<T> &v, bool greater = false) {int n = v.size();vector<int> ret(n);iota(begin(ret), end(ret), 0);sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });return ret;}template <typename T>void reorder(vector<T> &a, const vector<int> &ord) {int n = a.size();vector<T> b(n);for (int i = 0; i < n; i++) b[i] = a[ord[i]];swap(a, b);}template <typename T>T floor(T x, T y) {assert(y != 0);if (y < 0) x = -x, y = -y;return (x >= 0 ? x / y : (x - y + 1) / y);}template <typename T>T ceil(T x, T y) {assert(y != 0);if (y < 0) x = -x, y = -y;return (x >= 0 ? (x + y - 1) / y : x / y);}template <typename S, typename T>pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {return make_pair(p.first + q.first, p.second + q.second);}template <typename S, typename T>pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {return make_pair(p.first - q.first, p.second - q.second);}template <typename S, typename T>istream &operator>>(istream &is, pair<S, T> &p) {S a;T b;is >> a >> b;p = make_pair(a, b);return is;}template <typename S, typename T>ostream &operator<<(ostream &os, const pair<S, T> &p) {return os << p.first << ' ' << p.second;}struct io_setup {io_setup() {ios_base::sync_with_stdio(false);cin.tie(NULL);cout << fixed << setprecision(15);cerr << fixed << setprecision(15);}} io_setup;constexpr int inf = (1 << 30) - 1;constexpr ll INF = (1LL << 60) - 1;// constexpr int MOD = 1000000007;constexpr int MOD = 998244353;template <int mod>struct Mod_Int {int x;Mod_Int() : x(0) {}Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}static int get_mod() { return mod; }Mod_Int &operator+=(const Mod_Int &p) {if ((x += p.x) >= mod) x -= mod;return *this;}Mod_Int &operator-=(const Mod_Int &p) {if ((x += mod - p.x) >= mod) x -= mod;return *this;}Mod_Int &operator*=(const Mod_Int &p) {x = (int)(1LL * x * p.x % mod);return *this;}Mod_Int &operator/=(const Mod_Int &p) {*this *= p.inverse();return *this;}Mod_Int &operator++() { return *this += Mod_Int(1); }Mod_Int operator++(int) {Mod_Int tmp = *this;++*this;return tmp;}Mod_Int &operator--() { return *this -= Mod_Int(1); }Mod_Int operator--(int) {Mod_Int tmp = *this;--*this;return tmp;}Mod_Int operator-() const { return Mod_Int(-x); }Mod_Int operator+(const Mod_Int &p) const { return Mod_Int(*this) += p; }Mod_Int operator-(const Mod_Int &p) const { return Mod_Int(*this) -= p; }Mod_Int operator*(const Mod_Int &p) const { return Mod_Int(*this) *= p; }Mod_Int operator/(const Mod_Int &p) const { return Mod_Int(*this) /= p; }bool operator==(const Mod_Int &p) const { return x == p.x; }bool operator!=(const Mod_Int &p) const { return x != p.x; }Mod_Int inverse() const {assert(*this != Mod_Int(0));return pow(mod - 2);}Mod_Int pow(long long k) const {Mod_Int now = *this, ret = 1;for (; k > 0; k >>= 1, now *= now) {if (k & 1) ret *= now;}return ret;}friend ostream &operator<<(ostream &os, const Mod_Int &p) { return os << p.x; }friend istream &operator>>(istream &is, Mod_Int &p) {long long a;is >> a;p = Mod_Int<mod>(a);return is;}};using mint = Mod_Int<MOD>;struct Graph {struct edge {int to, id;edge(int to, int id) : to(to), id(id) {}};vector<vector<edge>> es;const int n;int m;vector<int> used;Graph(int n) : es(n), n(n), m(0), used(n) {}void add_edge(int from, int to) {es[from].emplace_back(to, m);es[to].emplace_back(from, m);m++;}bool detect_path(int now, int t, vector<int> &ret, bool use_id = false) {used[now] = true;if (now == t) {if (!use_id) ret.push_back(now);return true;}for (auto &e : es[now]) {if (used[e.to]) continue;if (detect_path(e.to, t, ret, use_id)) {ret.push_back(use_id ? e.id : now);return true;}}return false;}// 点素な s-t パスを 1 つ検出vector<int> find_path(int s, int t, bool use_id = false) {vector<int> ret;fill(begin(used), end(used), 0);detect_path(s, t, ret, use_id);reverse(begin(ret), end(ret));return ret;}int detect_cycle(int now, vector<int> &ret, int pre = -1, bool use_id = false) {if (used[now]++) return 1;for (auto &e : es[now]) {if (e.id == pre) continue;int k = detect_cycle(e.to, ret, e.id, use_id);if (k == 2) return 2;if (k == 1) {ret.push_back(use_id ? e.id : now);return used[now];}}return 0;}// 辺素な閉路を 1 つ検出vector<int> find_cycle(bool use_id = false) {vector<int> ret;fill(begin(used), end(used), 0);for (int i = 0; i < n; i++) {if (used[i]) continue;detect_cycle(i, ret, -1, use_id);if (!ret.empty()) {reverse(begin(ret), end(ret));return ret;}}return {};}};void solve() {int N, K;cin >> N >> K;Graph G(N);rep(i, N) {int u, v;cin >> u >> v;u--, v--;G.add_edge(u, v);}auto C = G.find_cycle();int L = sz(C);vector<mint> dp(2, 0);dp[1] = K;rep(i, L - 1) {vector<mint> ndp(2, 0);ndp[1] += dp[0];ndp[0] += dp[1] * (K - 1);ndp[0] += dp[0] * (K - 2);swap(dp, ndp);}cout << dp[0] * mint(K - 1).pow(N - L) << '\n';}int main() {int T = 1;// cin >> T;while (T--) solve();}