結果
問題 | No.2360 Path to Integer |
ユーザー |
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提出日時 | 2023-06-26 11:35:36 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 153 ms / 2,500 ms |
コード長 | 6,187 bytes |
コンパイル時間 | 1,422 ms |
コンパイル使用メモリ | 134,392 KB |
最終ジャッジ日時 | 2025-02-15 02:22:24 |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 15 |
ソースコード
#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))#endifusing namespace std;#define rep(i,n) for(int i=0; i<(n); i++)#define rrep(i,n) for(int i=(n)-1; i>=0; i--)#define FOR(i,a,b) for(int i=(a); i<(b); i++)#define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--)#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_backusing ll = long long;using D = double;using LD = long double;using P = pair<int, int>;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& operator /= (const Fp& r) noexcept {long long a = r.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);}val = val * u % mod;if (val < 0) val += mod;return *this;}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, const 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;}friend constexpr Fp<mod> modpow(const Fp<mod> &a, long long n) noexcept {if (n == 0) return 1;auto t = modpow(a, n / 2);t = t * t;if (n & 1) t = t * a;return t;}};//const int mod = 1e9+7;const int mod = 998244353;using mint = Fp<mod>;const int MAX_N = 100005;vector<ll> a(MAX_N);vector<mint> ten(11);vector<int> g[MAX_N];struct var {mint dp; mint sz;var(mint dp = 0, mint sz = 0): dp(dp), sz(sz) {}var operator+ (const var& a) const {return {dp + a.dp, sz + a.sz};}var addRoot(const int u) const {return {dp * ten[to_string(a[u]).size()] + (sz+1)*a[u], sz+1};}};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);a.resize(n); in(a);rep(i,n-1){int u,v; in(u,v); u--; v--;g[u].pb(v);g[v].pb(u);}ten[0] = 1;rep(i,10) ten[i+1] = ten[i] * 10;dfs1(0);dfs2(0);mint res = 0;rep(i,n) res += ans[i].dp;out(res);}