結果

問題 No.2115 Making Forest Easy
ユーザー heno239heno239
提出日時 2022-11-01 20:16:38
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 372 ms / 2,000 ms
コード長 6,698 bytes
コンパイル時間 1,914 ms
コンパイル使用メモリ 154,672 KB
実行使用メモリ 20,684 KB
最終ジャッジ日時 2023-09-23 10:21:49
合計ジャッジ時間 8,204 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge11
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 13 ms
19,752 KB
testcase_01 AC 13 ms
20,044 KB
testcase_02 AC 18 ms
20,624 KB
testcase_03 AC 372 ms
20,140 KB
testcase_04 AC 19 ms
20,348 KB
testcase_05 AC 18 ms
20,200 KB
testcase_06 AC 17 ms
20,504 KB
testcase_07 AC 41 ms
20,120 KB
testcase_08 AC 17 ms
20,472 KB
testcase_09 AC 49 ms
20,124 KB
testcase_10 AC 18 ms
20,576 KB
testcase_11 AC 184 ms
20,076 KB
testcase_12 AC 47 ms
20,116 KB
testcase_13 AC 100 ms
20,224 KB
testcase_14 AC 43 ms
20,112 KB
testcase_15 AC 54 ms
20,052 KB
testcase_16 AC 118 ms
20,244 KB
testcase_17 AC 14 ms
19,848 KB
testcase_18 AC 14 ms
19,876 KB
testcase_19 AC 15 ms
20,272 KB
testcase_20 AC 31 ms
20,136 KB
testcase_21 AC 13 ms
19,804 KB
testcase_22 AC 27 ms
19,888 KB
testcase_23 AC 16 ms
20,272 KB
testcase_24 AC 158 ms
20,252 KB
testcase_25 AC 15 ms
19,948 KB
testcase_26 AC 43 ms
20,100 KB
testcase_27 AC 79 ms
19,980 KB
testcase_28 AC 45 ms
20,188 KB
testcase_29 AC 13 ms
19,976 KB
testcase_30 AC 44 ms
20,068 KB
testcase_31 AC 18 ms
20,508 KB
testcase_32 AC 17 ms
20,684 KB
testcase_33 AC 18 ms
20,492 KB
testcase_34 AC 16 ms
19,800 KB
testcase_35 AC 14 ms
19,908 KB
testcase_36 AC 18 ms
20,588 KB
testcase_37 AC 45 ms
19,988 KB
testcase_38 AC 22 ms
19,916 KB
testcase_39 AC 14 ms
20,036 KB
testcase_40 AC 37 ms
20,120 KB
testcase_41 AC 43 ms
20,112 KB
testcase_42 AC 207 ms
20,096 KB
testcase_43 AC 18 ms
19,896 KB
testcase_44 AC 19 ms
19,912 KB
testcase_45 AC 29 ms
20,132 KB
testcase_46 AC 52 ms
20,204 KB
testcase_47 AC 20 ms
19,888 KB
testcase_48 AC 18 ms
20,324 KB
testcase_49 AC 19 ms
20,440 KB
testcase_50 AC 79 ms
19,952 KB
testcase_51 AC 31 ms
19,900 KB
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 # 

#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
#include<chrono>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 998244353;
//constexpr ll mod = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;

#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;

template<typename T>
void chmin(T& a, T b) {
	a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
	a = max(a, b);
}
template<typename T>
void cinarray(vector<T>& v) {
	rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
	rep(i, v.size()) {
		if (i > 0)cout << " "; cout << v[i];
	}
	cout << "\n";
}
ll mod_pow(ll x, ll n, ll m = mod) {
	if (n < 0) {
		ll res = mod_pow(x, -n, m);
		return mod_pow(res, m - 2, m);
	}
	if (abs(x) >= m)x %= m;
	if (x < 0)x += m;
	//if (x == 0)return 0;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
//mod should be <2^31
struct modint {
	int n;
	modint() :n(0) { ; }
	modint(ll m) {
		if (m < 0 || mod <= m) {
			m %= mod; if (m < 0)m += mod;
		}
		n = m;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
bool operator<(modint a, modint b) { return a.n < b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= (int)mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += (int)mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 21;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[a - b];
}

ll gcd(ll a, ll b) {
	a = abs(a); b = abs(b);
	if (a < b)swap(a, b);
	while (b) {
		ll r = a % b; a = b; b = r;
	}
	return a;
}
using ld = long double;
//typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-10;
const ld pi = acosl(-1.0);
template<typename T>
void addv(vector<T>& v, int loc, T val) {
	if (loc >= v.size())v.resize(loc + 1, 0);
	v[loc] += val;
}
/*const int mn = 2000005;
bool isp[mn];
vector<int> ps;
void init() {
	fill(isp + 2, isp + mn, true);
	for (int i = 2; i < mn; i++) {
		if (!isp[i])continue;
		ps.push_back(i);
		for (int j = 2 * i; j < mn; j += i) {
			isp[j] = false;
		}
	}
}*/

//[,val)
template<typename T>
auto prev_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	if (res == st.begin())return st.end();
	res--; return res;
}

//[val,)
template<typename T>
auto next_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	return res;
}
using mP = pair<modint, modint>;
mP operator+(mP a, mP b) {
	return { a.first + b.first,a.second + b.second };
}
mP operator+=(mP& a, mP b) {
	a = a + b; return a;
}
mP operator-(mP a, mP b) {
	return { a.first - b.first,a.second - b.second };
}
mP operator-=(mP& a, mP b) {
	a = a - b; return a;
}
LP operator+(LP a, LP b) {
	return { a.first + b.first,a.second + b.second };
}
LP operator+=(LP& a, LP b) {
	a = a + b; return a;
}
LP operator-(LP a, LP b) {
	return { a.first - b.first,a.second - b.second };
}
LP operator-=(LP& a, LP b) {
	a = a - b; return a;
}

mt19937 mt(time(0));

const string drul = "DRUL";
string senw = "SENW";
//DRUL,or SENW
int dx[4] = { 1,0,-1,0 };
int dy[4] = { 0,1,0,-1 };
//-----------------------------------------

void solve() {
	int n; cin >> n;
	vector<int> a(n);
	rep(i, n)cin >> a[i];
	vector<vector<int>> G(n);
	rep(i, n - 1) {
		int a, b; cin >> a >> b; a--; b--;
		G[a].push_back(b);
		G[b].push_back(a);
	}
	modint inv2 = (1 + mod) / 2;
	modint ans = 0;
	rep(i, n) {
		P mem = { a[i],i };
		function<mP(int, int)> dfs = [&](int id, int fr) {
			mP res = { 1,1 };
			for (int to : G[id])if (to != fr) {
				P pto = { a[to],to };
				if (mem < pto) {
					res.first *= inv2;
					res.second *= inv2;
				}
				else {
					mP nex = dfs(to, id);
					mP nres;
					nres.first = res.first * inv2 + res.first * nex.second * inv2 + res.second*nex.first * inv2;
					nres.second = res.second * inv2 + res.second * inv2 * nex.second;
					swap(res, nres);
				}
			}
			/*modint res = 1;
			modint pro = 1;
			for (int to : G[id])if (to != fr) {
				P pto = { a[to],to };
				if (mem < pto)pro *= inv2;
				else {
					res += dfs(to, id) * inv2;
				}
			}
			res *= pro;*/
			return res;
		};
		modint num = dfs(i, -1).first;
		num *= mod_pow(2, n - 1);
		//cout << i << " " << num << "\n";
		ans += (modint)a[i]*num;
	}
	/*function<void(int, int)> dfs = [&](int id, int fr) {
		dp[id][a[id]] = 1;
		for (int to : G[id])if (to != fr) {
			dfs(to, id);
			modint sum1 = 0, sum2 = 0;
			rep(j, 1001) {
				sum1 += dp[id][j];
				sum2 += dp[to][j]*inv2;
				mem[j] = sum1 * sum2;
			}
			rep(j, 1001) {
				dp[id][j] += mem[j];
				if (j)dp[id][j] -= mem[j - 1];
			}
		}
		rep(j, 1001) {
			ans += dp[id][j];
		}
	};
	dfs(0, -1);*/
	cout << ans << "\n";
}


signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	//init_f();
	//init();
	//expr();
	//while(true)
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}
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