結果

問題 No.2504 NOT Path Painting
ユーザー haruki_Kharuki_K
提出日時 2023-10-13 23:13:33
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 131 ms / 2,000 ms
コード長 16,950 bytes
コンパイル時間 2,032 ms
コンパイル使用メモリ 208,024 KB
最終ジャッジ日時 2025-02-17 07:31:06
ジャッジサーバーID
(参考情報)
judge4 / judge6
このコードへのチャレンジ
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ファイルパターン 結果
other AC * 21
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ソースコード

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プレゼンテーションモードにする

// >>> 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 ll
using pii = pair<int, int>;
#define overload3(_1, _2, _3, f, ...) f
#define v1_rep(n) for (int _n = (n); _n--; )
#define v2_rep(i, n) if (const int _n = (n); true) for (int i = 0; i < _n; i++)
#define v3_rep(i, a, b) if (const int _b = (b); true) for (int i = (a); i < _b; i++)
#define rep(...) overload3(__VA_ARGS__, v3_rep, v2_rep, v1_rep)(__VA_ARGS__)
#define v2_repR(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define v3_repR(i, a, b) if (const int _a = (a); true) for (int i = int(b)-1; i >= _a; i--)
#define repR(...) overload3(__VA_ARGS__, v3_repR, v2_repR, v1_rep)(__VA_ARGS__)
#define rep1(i, n) if (const int _rep_n = n; true) for (int i = 1; i <= _rep_n; 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 second
template <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(...) ([]() { return false; }())
#define if_debug if (0)
#define oj_local(x, y) (x)
#endif
template <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 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;
}
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; }
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;
static inline int level = 0;
constexpr FixPoint_d(F&& f, const char* name) : F(forward<F>(f)), name(name) {}
template <class... T> constexpr auto operator()(T&&... x) const {
if constexpr (is_same_v<void, decltype(F::operator()(*this, forward<T>(x)...))>) {
#ifdef LOCAL
cerr << string(level, '|') << name << to_s(tuple(x...)) << '\n';
#endif
++level;
F::operator()(*this, forward<T>(x)...);
--level;
#ifdef LOCAL
cerr << string(level, '|') << name << to_s(tuple(x...)) << " -> void" << '\n';
#endif
} else {
#ifdef LOCAL
cerr << string(level, '|') << name << to_s(tuple(x...)) << '\n';
#endif
++level;
auto ret = F::operator()(*this, forward<T>(x)...);
--level;
#ifdef LOCAL
cerr << string(level, '|') << name << to_s(tuple(x...)) << " -> " << to_s(ret) << '\n';
#endif
return 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
#endif
struct Reader {
template <class T> T get() const{ T x; cin >> x; return x; }
template <class T> operator T() const { return get<T>(); }
template <class... T> void operator()(T&... args) const { ((cin >> args), ...); }
} input;
namespace impl {
template <class T, size_t d> struct mvec { using type = vector<typename mvec<T, d-1>::type>; };
template <class T> struct mvec<T, 0> { using type = T; };
template <size_t i, size_t... j>
constexpr size_t head(index_sequence<i, j...>) { return i; }
template <size_t i, size_t... j>
constexpr auto tail(index_sequence<i, j...>) { return index_sequence<j...>{}; }
template <class T, size_t... i, size_t d, class Value>
auto make_v(index_sequence<i...>, const int (&s)[d], Value const& x) {
if constexpr (sizeof...(i) == 0) {
return (T)x;
} else {
typename mvec<T, sizeof...(i)>::type ret;
auto idx = index_sequence<i...>{};
int n = s[head(idx)];
if (n < 0) cerr << "[error] negative size: {" << s << "}\n", abort();
ret.reserve(n);
while (n-- > 0) ret.emplace_back(make_v<T>(tail(idx), s, x));
return ret;
}
}
} // namespace impl
template <class T, size_t d = 1> using mvec = typename impl::mvec<T, d>::type;
template <class T, size_t d, class Value> auto make_v(const int (&s)[d], Value const& x) {
return impl::make_v<T>(make_index_sequence<d>{}, s, x);
}
template <class T, size_t d> auto make_v(const int (&s)[d]) {
return impl::make_v<T>(make_index_sequence<d>{}, s, T{});
}
template <class T, class... Size> auto make_v(Size... s) {
return impl::make_v<T>(make_index_sequence<sizeof...(s)>{}, (int[sizeof...(s)]){s...}, T{});
}
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 > y ? x = y, true : false;
}
template <class T, class U> constexpr bool chmax(T& x, U const& y) {
return x < y ? x = 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 };
vector<int> iota(int n) {
vector<int> idx(n);
iota(begin(idx), end(idx), 0);
return idx;
}
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; }
template <class A, class B>
pair<vector<A>, vector<B>> unzip(vector<pair<A, B>> const& c) {
vector<A> a;
vector<B> b;
for (auto const& [x, y] : c) {
a.push_back(x);
b.push_back(y);
}
return { a, b };
}
template <class A, class B>
pair<vector<A>, vector<B>> unzip(map<A, B> const& c) {
vector<A> a;
vector<B> b;
for (auto const& [x, y] : c) {
a.push_back(x);
b.push_back(y);
}
return { a, b };
}
template <class T, class... Int> auto read_v(Int... s) {
auto x = make_v<T>(s...);
cin >> x;
return x;
}
template <class T> auto read_v() {
T x;
cin >> x;
return x;
}
template <class... T, class... Int>
auto read(Int... s) {
if constexpr (sizeof...(T) >= 2) {
return read_v<tuple<T...>>(s...);
} else {
return read_v<T...>(s...);
}
}
template <class T, size_t d, class... Int>
auto read(Int... s) {
return read_v<array<T, d>>(s...);
}
// <<<
constexpr int64_t MOD = 998244353;
// >>> modint, mod table
// >>> modint
template <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 LOCAL
friend string to_s(M r) { return to_s(r.val(), mod); }
#endif
friend 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; }
};
// <<<
using mint = modint<MOD>;
mint sign(int n) { return n & 1 ? -1 : +1; }
// >>> mod table
template <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 (uint64_t)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 = (uint64_t)mod_tab.finv[k] * mod_tab.finv[n-k] % MOD * mod_tab.fact[n];
if (k & 1) ans = -ans;
return ans;
} else {
return 0;
}
}
// <<<
// <<<
auto solve() {
int n = input;
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);
}
int total = n*(n+1)/2;
mint ans = 0;
def (dfs, int x, int p) -> int {
int s = 1, sum = 0;
for (int y : g[x]) {
if (y == p) continue;
int t = dfs(y, x);
int u = n-t;
ans -= mint(total)/(total-u*t);
s += t;
sum += t*(t+1)/2;
}
sum += (n-s)*(n-s+1)/2;
ans += mint(total)/sum;
return s;
};
dfs(0, -1);
cout << ans << '\n';
}
int32_t main() {
int t; cin >> t;
while (t--) {
solve();
// cout << (solve() ? "Yes" : "No") << '\n';
// cout << (solve() ? "YES" : "NO") << '\n';
if_debug { cerr << endl; }
}
}
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