結果

問題 No.2949 Product on Tree
ユーザー apricity
提出日時 2024-10-26 03:09:51
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 449 ms / 2,000 ms
コード長 7,260 bytes
コンパイル時間 2,709 ms
コンパイル使用メモリ 130,300 KB
最終ジャッジ日時 2025-02-25 00:09:59
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
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 46
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 #
プレゼンテーションモードにする

#include<iostream>
#include<string>
#include<vector>
#include<algorithm>
#include<numeric>
#include<cmath>
#include<utility>
#include<tuple>
#include<cstdint>
#include<cstdio>
#include<iomanip>
#include<map>
#include<queue>
#include<set>
#include<stack>
#include<deque>
#include<unordered_map>
#include<unordered_set>
#include<bitset>
#include<cctype>
#include<chrono>
#include<random>
#include<cassert>
#include<cstddef>
#include<iterator>
#include<string_view>
#include<type_traits>
#ifdef LOCAL
# include "debug_print.hpp"
# define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
# define debug(...) (static_cast<void>(0))
#endif
using namespace std;
#define rep1(a) for(int i = 0; i < a; i++)
#define rep2(i, a) for(int i = 0; i < a; i++)
#define rep3(i, a, b) for(int i = a; i < b; i++)
#define rep4(i, a, b, c) for(int i = a; i < b; i += c)
#define overload4(a, b, c, d, e, ...) e
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(a) for(int i = (a)-1; i >= 0; i--)
#define rrep2(i, a) for(int i = (a)-1; i >= 0; i--)
#define rrep3(i, a, b) for(int i = (b)-1; i >= a; i--)
#define rrep4(i, a, b, c) for(int i = (b)-1; i >= a; i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define ALL(v) v.begin(), v.end()
#define RALL(v) v.rbegin(), v.rend()
#define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() );
#define pb push_back
using ll = long long;
using D = double;
using LD = long double;
using P = pair<int, int>;
using vi = vector<int>;
using vl = vector<ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vector<vc<T>>;
template <class T> using vvvc = vector<vvc<T>>;
template <class T> using vvvvc = vector<vvvc<T>>;
template <class T> using vvvvvc = vector<vvvvc<T>>;
#define vv(type, name, h, ...) \
vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) \
vector<vector<vector<type>>> name( \
h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name( \
a, vector<vector<vector<type>>>( \
b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
template<typename T> using PQ = priority_queue<T,vector<T>>;
template<typename T> using minPQ = priority_queue<T, vector<T>, greater<T>>;
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; }
void yesno(bool flag) {cout << (flag?"Yes":"No") << "\n";}
template<typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << p.first << " " << p.second;
return os;
}
template<typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
is >> p.first >> p.second;
return is;
}
template<typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
int s = (int)v.size();
for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
return os;
}
template<typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (auto &x : v) is >> x;
return is;
}
void in() {}
template<typename T, class... U>
void in(T &t, U &...u) {
cin >> t;
in(u...);
}
void out() { cout << "\n"; }
template<typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
cout << t;
if (sizeof...(u)) cout << sep;
out(u...);
}
void outr() {}
template<typename T, class... U, char sep = ' '>
void outr(const T &t, const U &...u) {
cout << t;
outr(u...);
}
template<int mod> struct Fp {
long long val;
constexpr Fp(long long v = 0) noexcept : val(v % mod) {
if (val < 0) val += mod;
}
constexpr int getmod() { return mod; }
constexpr Fp operator - () const noexcept {
return val ? mod - val : 0;
}
constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
constexpr Fp& operator += (const Fp& r) noexcept {
val += r.val;
if (val >= mod) val -= mod;
return *this;
}
constexpr Fp& operator -= (const Fp& r) noexcept {
val -= r.val;
if (val < 0) val += mod;
return *this;
}
constexpr Fp& operator *= (const Fp& r) noexcept {
val = val * r.val % mod;
return *this;
}
constexpr Fp inv() const noexcept {
long long a = val, b = mod, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b; swap(a, b);
u -= t * v; swap(u, v);
}
assert(a == 1);
return u;
}
constexpr Fp& operator /= (const Fp& r) noexcept {
return *this *= r.inv();
}
constexpr Fp pow(long long n) const noexcept {
assert(0 <= n);
Fp x = *this, r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
constexpr bool operator == (const Fp& r) const noexcept {
return this->val == r.val;
}
constexpr bool operator != (const Fp& r) const noexcept {
return this->val != r.val;
}
friend constexpr istream& operator >> (istream &is, Fp<mod>& x) noexcept {
int val; is >> val;
x = Fp<mod>(val);
return is;
}
friend constexpr ostream& operator << (ostream &os, const Fp<mod>& x) noexcept {
return os << x.val;
}
};
//const int mod = 1e9+7;
const int mod = 998244353;
using mint = Fp<mod>;
const int MAX_N = 200005;
vector<int> g[MAX_N];
mint a[MAX_N];
struct var {
mint s;
var(mint s_ = 0): s(s_) {}
var operator+ (const var& a) const {
return {s+a.s};
}
var addRoot(int u) const {
return {(s+1)*a[u]};
}
};
vector<var> dp[MAX_N];
var ans[MAX_N];
var dfs1(int v, int p = -1) {
var dpsum;
dp[v] = vector<var> (g[v].size());
rep(i, g[v].size()) {
int u = g[v][i];
if(u == p) continue;
dp[v][i] = dfs1(u, v);
dpsum = dpsum + dp[v][i];
}
return dpsum.addRoot(v);
}
void dfs2(int v, const var& dpParent = var(), int p = -1) {
int deg = g[v].size();
rep(i, deg) if(g[v][i] == p) dp[v][i] = dpParent;
vector<var> dpSum_Left(deg+1), dpSum_Right(deg+1);
rep(i,deg) dpSum_Left[i+1] = dpSum_Left[i] + dp[v][i];
rrep(i, deg) dpSum_Right[i] = dpSum_Right[i+1] + dp[v][i];
ans[v] = dpSum_Left[deg].addRoot(v);
rep(i,deg) {
int u = g[v][i];
if(u == p) continue;
var d = dpSum_Left[i] + dpSum_Right[i+1];
dfs2(u, d.addRoot(v), v);
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n; in(n);
rep(i,n) in(a[i]);
rep(i,n-1){
int u,v; in(u,v); u--; v--;
g[u].pb(v);
g[v].pb(u);
}
dfs1(0); dfs2(0);
mint res = 0;
rep(i,n) res += ans[i].s;
rep(i,n) res -= a[i];
out(res/2);
}
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