結果
問題 | No.2214 Products on Tree |
ユーザー |
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提出日時 | 2023-02-10 22:34:29 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 101 ms / 3,000 ms |
コード長 | 13,762 bytes |
コンパイル時間 | 2,177 ms |
コンパイル使用メモリ | 208,224 KB |
最終ジャッジ日時 | 2025-02-10 13:02:58 |
ジャッジサーバーID (参考情報) |
judge3 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 35 |
ソースコード
// >>> TEMPLATES#include <bits/stdc++.h>using namespace std;using ll = long long;using ld = long double;using i32 = int32_t;using i64 = int64_t;using u32 = uint32_t;using u64 = uint64_t;#define int llusing pii = pair<int, int>;#define rep(i, n) if (const int _rep_n = n; true) for (int i = 0; i < _rep_n; i++)#define rep1(i, n) if (const int _rep_n = n; true) for (int i = 1; i <= _rep_n; i++)#define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--)#define rep1R(i, n) for (int i = (int)(n); i >= 1; i--)#define loop(i, a, B) for (int i = a; i B; i++)#define loopR(i, a, B) for (int i = a; i B; i--)#define all(x) begin(x), end(x)#define allR(x) rbegin(x), rend(x)#define pb push_back#define eb emplace_back#define fst first#define snd secondtemplate <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1;auto constexpr INF32 = inf_<int32_t>;auto constexpr INF64 = inf_<int64_t>;auto constexpr INF = inf_<int>;#ifdef LOCAL#include "debug.hpp"#define oj_local(x, y) (y)#else#define dump(...) (void)(0)#define debug if (0)#define oj_local(x, y) (x)#endiftemplate <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> {vector<T> &data() { return this->c; }void clear() { this->c.clear(); }};template <class T> using pque_max = pque<T, less<T>>;template <class T> using pque_min = pque<T, greater<T>>;template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>ostream& operator<<(ostream& os, T const& a) {bool f = true;for (auto const& x : a) os << (f ? "" : " ") << x, f = false;return os;}template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>ostream& operator<<(ostream& os, const T (&a)[N]) {bool f = true;for (auto const& x : a) os << (f ? "" : " ") << x, f = false;return os;}template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) {return os << p.first << " " << p.second;}template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) {return is >> p.first >> p.second;}template <class... T> ostream& operator<<(ostream& os, tuple<T...> const& t) {bool f = true;apply([&](auto&&... x) { ((os << (f ? f = false, "" : " ") << x), ...); }, t);return os;}template <class... T> istream& operator>>(istream& is, tuple<T...>& t) {apply([&](auto&&... x) { ((is >> x), ...); }, t);return is;}struct IOSetup {IOSetup() {cin.tie(nullptr);ios::sync_with_stdio(false);cout << fixed << setprecision(15);}} iosetup;template <class F> struct FixPoint : private F {constexpr FixPoint(F&& f) : F(forward<F>(f)) {}template <class... T> constexpr auto operator()(T&&... x) const {return F::operator()(*this, forward<T>(x)...);}};struct MakeFixPoint {template <class F> constexpr auto operator|(F&& f) const {return FixPoint<F>(forward<F>(f));}};#define def(name, ...) auto name = MakeFixPoint() | [&](auto &&name, __VA_ARGS__)template <class F> struct FixPoint_d : private F {const char* const name;constexpr FixPoint_d(F&& f, const char* name) : F(forward<F>(f)), name(name) {}template <class... T> constexpr auto operator()(T&&... x) const {auto ret = F::operator()(*this, forward<T>(x)...);#ifdef LOCALcerr << name << to_s(tuple(x...)) << " -> " << to_s(ret) << '\n';#endifreturn ret;}};struct MakeFixPoint_d {const char* const name;MakeFixPoint_d(const char* name) : name(name) {}template <class F> constexpr auto operator|(F&& f) const {return FixPoint_d<F>(forward<F>(f), name);}};#ifdef LOCAL#define def_d(name, ...) auto name = MakeFixPoint_d(#name) | [&](auto &&name, __VA_ARGS__)#else#define def_d def#endiftemplate <class T, size_t d> struct vec_impl {using type = vector<typename vec_impl<T, d-1>::type>;template <class... U> static type make_v(size_t n, U&&... x) {return type(n, vec_impl<T, d-1>::make_v(forward<U>(x)...));}};template <class T> struct vec_impl<T, 0> {using type = T;static type make_v(T const& x = {}) { return x; }};template <class T, size_t d = 1> using vec = typename vec_impl<T, d>::type;template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) {return vec_impl<T, d>::make_v(forward<Args>(args)...);}template <class T> void quit(T const& x) { cout << x << '\n'; exit(0); }template <class T, class U> constexpr bool chmin(T& x, U const& y) {return x > (T)y ? x = (T)y, true : false;}template <class T, class U> constexpr bool chmax(T& x, U const& y) {return x < (T)y ? x = (T)y, true : false;}template <class It> constexpr auto sumof(It b, It e) {return accumulate(b, e, typename iterator_traits<It>::value_type{});}template <class T, class = decltype(begin(declval<T&>()))>constexpr auto min(T const& a) { return *min_element(begin(a), end(a)); }template <class T, class = decltype(begin(declval<T&>()))>constexpr auto max(T const& a) { return *max_element(begin(a), end(a)); }template <class T> constexpr T min(set<T> const& st) { assert(st.size()); return *st.begin(); }template <class T> constexpr T max(set<T> const& st) { assert(st.size()); return *prev(st.end()); }template <class T> constexpr T min(multiset<T> const& st) { assert(st.size()); return *st.begin(); }template <class T> constexpr T max(multiset<T> const& st) { assert(st.size()); return *prev(st.end()); }constexpr ll max(signed x, ll y) { return max<ll>(x, y); }constexpr ll max(ll x, signed y) { return max<ll>(x, y); }constexpr ll min(signed x, ll y) { return min<ll>(x, y); }constexpr ll min(ll x, signed y) { return min<ll>(x, y); }template <class T> int sz(T const& x) { return x.size(); }template <class C, class T>int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x) - begin(v); }template <class C, class T>int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x) - begin(v); }constexpr ll mod(ll x, ll m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; }constexpr ll div_floor(ll x, ll y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); }constexpr ll div_ceil(ll x, ll y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); }constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 };constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 };template <class Comp> vector<int> iota(int n, Comp comp) {vector<int> idx(n);iota(begin(idx), end(idx), 0);stable_sort(begin(idx), end(idx), comp);return idx;}constexpr int popcnt(ll x) { return __builtin_popcountll(x); }mt19937_64 seed_{random_device{}()};template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); }i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b]u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } //template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); }template <class V> V &operator--(V &v) { for (auto &x : v) --x; return v; }template <class V> V &operator++(V &v) { for (auto &x : v) ++x; return v; }bool next_product(vector<int> &v, int m) {repR (i, v.size()) if (++v[i] < m) return true; else v[i] = 0;return false;}bool next_product(vector<int> &v, vector<int> const& s) {repR (i, v.size()) if (++v[i] < s[i]) return true; else v[i] = 0;return false;}template <class Vec> int sort_unique(Vec &v) {sort(begin(v), end(v));v.erase(unique(begin(v), end(v)), end(v));return v.size();}template <class Vec, class Comp> int sort_unique(Vec &v, Comp comp) {sort(begin(v), end(v), comp);v.erase(unique(begin(v), end(v)), end(v));return v.size();}template <class It> auto prefix_sum(It l, It r) {vector<typename It::value_type> s = { 0 };while (l != r) s.emplace_back(s.back() + *l++);return s;}template <class It> auto suffix_sum(It l, It r) {vector<typename It::value_type> s = { 0 };while (l != r) s.emplace_back(*--r + s.back());reverse(s.begin(), s.end());return s;}template <class T> T pop(vector<T> &a) { auto x = a.back(); a.pop_back(); return x; }template <class T> T pop_back(vector<T> &a) { auto x = a.back(); a.pop_back(); return x; }template <class T, class V, class C> T pop(priority_queue<T, V, C> &a) { auto x = a.top(); a.pop(); return x; }template <class T> T pop(queue<T> &a) { auto x = a.front(); a.pop(); return x; }template <class T> T pop_front(deque<T> &a) { auto x = a.front(); a.pop_front(); return x; }template <class T> T pop_back(deque<T> &a) { auto x = a.back(); a.pop_back(); return x; }template <class T> T pop_front(set<T> &a) { auto x = *a.begin(); a.erase(a.begin()); return x; }template <class T> T pop_back(set<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; }template <class T> T pop_front(multiset<T> &a) { auto it = a.begin(); auto x = *it; a.erase(it); return x; }template <class T> T pop_back(multiset<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; }// <<<// >>> modinttemplate <uint32_t md>class modint {static_assert(md < (1u<<31), "");using M = modint;using i64 = int64_t;uint32_t x;public:static constexpr uint32_t mod = md;constexpr modint(i64 x = 0) : x((x%=md) < 0 ? x+md : x) { }constexpr i64 val() const { return x; }constexpr explicit operator i64() const { return x; }constexpr bool operator==(M r) const { return x == r.x; }constexpr bool operator!=(M r) const { return x != r.x; }constexpr M operator+() const { return *this; }constexpr M operator-() const { return M()-*this; }constexpr M& operator+=(M r) { x += r.x; x = (x < md ? x : x-md); return *this; }constexpr M& operator-=(M r) { x += md-r.x; x = (x < md ? x : x-md); return *this; }constexpr M& operator*=(M r) { x = (uint64_t(x)*r.x)%md; return *this; }constexpr M& operator/=(M r) { return *this *= r.inv(); }constexpr M operator+(M r) const { return M(*this) += r; }constexpr M operator-(M r) const { return M(*this) -= r; }constexpr M operator*(M r) const { return M(*this) *= r; }constexpr M operator/(M r) const { return M(*this) /= r; }friend constexpr M operator+(i64 x, M y) { return M(x)+y; }friend constexpr M operator-(i64 x, M y) { return M(x)-y; }friend constexpr M operator*(i64 x, M y) { return M(x)*y; }friend constexpr M operator/(i64 x, M y) { return M(x)/y; }constexpr M inv() const { assert(x > 0); return pow(md-2); }constexpr M pow(i64 n) const {// assert(not (x == 0 and n == 0));if (n < 0) return inv().pow(-n);M v = *this, r = 1;for (; n > 0; n >>= 1, v *= v) if (n&1) r *= v;return r;}#ifdef LOCALfriend string to_s(M r) { return to_s(r.val(), mod); }#endiffriend ostream& operator<<(ostream& os, M r) { return os << r.val(); }friend istream& operator>>(istream& is, M &r) { i64 x; is >> x; r = x; return is; }};// <<<constexpr int64_t MOD = 998244353;//constexpr int64_t MOD = 1e9+7;using mint = modint<MOD>;mint sign(int n) { return n & 1 ? -1 : +1; }// >>> mod tabletemplate <uint32_t mod> struct ModTable {static_assert(mod > 1, "");vector<uint32_t> fact = { 1, 1 }, finv = { 1, 1 }, inv = { 0, 1 };ModTable(int n = 0) {calc(n);}void calc(int n) {const int now = fact.size();if (n < now) return;assert(n < int(1e9));int nxt = now;do nxt <<= 1; while (nxt <= n);fact.resize(nxt);finv.resize(nxt);inv.resize(nxt);for (uint32_t i = now; i < nxt; i++) {fact[i] = uint64_t(fact[i-1]) * i % mod;inv[i] = mod - uint64_t(inv[mod%i]) * (mod/i) % mod;finv[i] = uint64_t(finv[i-1]) * inv[i] % mod;}}};ModTable<MOD> mod_tab;modint<MOD> fact(int n) {assert(0 <= n);mod_tab.calc(n);return mod_tab.fact[n];}modint<MOD> finv(int n) {assert(0 <= n);mod_tab.calc(n);return mod_tab.finv[n];}modint<MOD> inv(int n) {assert(0 <= n);mod_tab.calc(n);return mod_tab.inv[n];}modint<MOD> comb(int n, int k) {if (k < 0) {return 0;} else if (n >= k) {mod_tab.calc(n);return mod_tab.finv[k] * mod_tab.finv[n-k] % MOD * mod_tab.fact[n];} else if (n < 0) {n = -n+k-1;mod_tab.calc(n);int ans = mod_tab.finv[k] * mod_tab.finv[n-k] % MOD * mod_tab.fact[n];if (k & 1) ans = -ans;return ans;} else {return 0;}}// modint<MOD> comb(int n, int k) {// if (n < 0 or k < 0 or n < k) return 0;// mod_tab.calc(n);// return mod_tab.finv[k] * mod_tab.finv[n-k] % MOD * mod_tab.fact[n];// }// <<<int32_t main() {int n; cin >> n;vector<vector<int>> g(n);rep (i, n-1) {int x, y; cin >> x >> y; --x, --y;g[x].eb(y);g[y].eb(x);}vector<mint> dp0(n), dp1(n);def (dfs, int x, int p) -> void {mint dp[2] = { 1, 0 };dp1[x] = 1;for (int y : g[x]) {if (y == p) continue;dfs(y, x);mint ndp[2] = {};ndp[0] = dp[0] * (dp0[y] + dp1[y]);ndp[1] = dp[1] * (dp0[y] + dp1[y]) + dp[0] * dp0[y];swap(dp, ndp);dp1[x] *= dp0[y] + dp1[y];}dp0[x] = dp[0] + dp[1];};dfs(0, -1);dump(dp0);dump(dp1);cout << dp0[0] << '\n';}