結果

問題 No.2598 Kadomatsu on Tree
ユーザー ゆにぽけゆにぽけ
提出日時 2024-01-01 09:14:41
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 226 ms / 2,000 ms
コード長 4,434 bytes
コンパイル時間 1,947 ms
コンパイル使用メモリ 139,884 KB
実行使用メモリ 21,300 KB
最終ジャッジ日時 2024-09-27 17:14:57
合計ジャッジ時間 11,727 ms
ジャッジサーバーID
(参考情報)
judge2 / judge1
このコードへのチャレンジ
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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 2 ms
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 2 ms
6,944 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 2 ms
6,944 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 2 ms
6,944 KB
testcase_10 AC 2 ms
6,940 KB
testcase_11 AC 2 ms
6,940 KB
testcase_12 AC 2 ms
6,940 KB
testcase_13 AC 4 ms
6,940 KB
testcase_14 AC 5 ms
6,940 KB
testcase_15 AC 4 ms
6,940 KB
testcase_16 AC 5 ms
6,944 KB
testcase_17 AC 3 ms
6,944 KB
testcase_18 AC 4 ms
6,940 KB
testcase_19 AC 4 ms
6,940 KB
testcase_20 AC 3 ms
6,940 KB
testcase_21 AC 4 ms
6,940 KB
testcase_22 AC 4 ms
6,940 KB
testcase_23 AC 205 ms
15,260 KB
testcase_24 AC 216 ms
15,608 KB
testcase_25 AC 215 ms
15,624 KB
testcase_26 AC 208 ms
15,260 KB
testcase_27 AC 209 ms
15,392 KB
testcase_28 AC 207 ms
15,584 KB
testcase_29 AC 211 ms
15,632 KB
testcase_30 AC 210 ms
15,344 KB
testcase_31 AC 208 ms
15,636 KB
testcase_32 AC 206 ms
15,504 KB
testcase_33 AC 212 ms
15,788 KB
testcase_34 AC 206 ms
15,132 KB
testcase_35 AC 217 ms
15,880 KB
testcase_36 AC 211 ms
15,736 KB
testcase_37 AC 209 ms
15,696 KB
testcase_38 AC 214 ms
15,852 KB
testcase_39 AC 214 ms
15,812 KB
testcase_40 AC 225 ms
15,680 KB
testcase_41 AC 226 ms
15,700 KB
testcase_42 AC 217 ms
15,776 KB
testcase_43 AC 220 ms
15,792 KB
testcase_44 AC 215 ms
15,696 KB
testcase_45 AC 216 ms
15,672 KB
testcase_46 AC 213 ms
15,740 KB
testcase_47 AC 220 ms
15,824 KB
testcase_48 AC 226 ms
20,560 KB
testcase_49 AC 14 ms
6,944 KB
testcase_50 AC 138 ms
14,336 KB
testcase_51 AC 29 ms
6,944 KB
testcase_52 AC 54 ms
8,064 KB
testcase_53 AC 57 ms
9,104 KB
testcase_54 AC 48 ms
8,264 KB
testcase_55 AC 17 ms
6,944 KB
testcase_56 AC 88 ms
12,252 KB
testcase_57 AC 30 ms
6,944 KB
testcase_58 AC 178 ms
15,512 KB
testcase_59 AC 172 ms
15,528 KB
testcase_60 AC 210 ms
20,276 KB
testcase_61 AC 221 ms
21,300 KB
testcase_62 AC 208 ms
19,824 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 #

#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <array>
#include <cctype>
#include <cstring>
#include <cstdlib>
#include <cassert>
#include <cmath>
#include <ctime>
#include <iomanip>
#include <numeric>
#include <stack>
#include <queue>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <bitset>
#include <random>
#include <utility>
#include <functional>
using namespace std;
template<int m> struct modint
{
	private:
	unsigned int value;
	static constexpr int mod() {return m;}

	public:
	constexpr modint(const long long x = 0) noexcept
	{
		long long y = x;
		if(y < 0 || y >= mod())
		{
			y %= mod();
			if(y < 0) y += mod();
		}
		value = (unsigned int)y;
	}
	constexpr unsigned int val() noexcept {return value;}
	constexpr modint &operator+=(const modint &other) noexcept
	{
		value += other.value;
		if(value >= mod()) value -= mod();
		return *this;
	}
	constexpr modint &operator-=(const modint &other) noexcept
	{
		unsigned int x = value;
		if(x < other.value) x += mod();
		x -= other.value;
		value = x;
		return *this;
	}
	constexpr modint &operator*=(const modint &other) noexcept
	{
		unsigned long long x = value;
		x *= other.value;
		value = (unsigned int) (x % mod());
		return *this;
	}
	constexpr modint &operator/=(const modint &other) noexcept
	{
		return *this *= other.inverse();
	}
	constexpr modint inverse() const noexcept
	{
		assert(value);
		long long a = value,b = mod(),x = 1,y = 0;
		while(b)
		{
			long long q = a/b;
			a -= q*b; swap(a,b);
			x -= q*y; swap(x,y);
		}
		return modint(x);
	}
	constexpr modint power(long long N) const noexcept
	{
		assert(N >= 0);
		modint p = *this,ret = 1;
		while(N)
		{
			if(N & 1) ret *= p;
			p *= p;
			N >>= 1;
		}
		return ret;
	}
	constexpr modint operator+() {return *this;}
	constexpr modint operator-() {return modint() - *this;}
	constexpr modint &operator++(int) noexcept {return *this += 1;}
	constexpr modint &operator--(int) noexcept {return *this -= 1;}
	friend modint operator+(const modint& lhs, const modint& rhs) {return modint(lhs) += rhs;}
	friend modint operator-(const modint& lhs, const modint& rhs) {return modint(lhs) -= rhs;}
	friend modint operator*(const modint& lhs, const modint& rhs) {return modint(lhs) *= rhs;}
	friend modint operator/(const modint& lhs, const modint& rhs) {return modint(lhs) /= rhs;}
	friend ostream &operator<<(ostream &os,const modint &x) {return os << x.value;}
};
using mint = modint<998244353>;
/* using mint = modint<1000000007>; */

template<class S>
struct combination
{
	vector<S> f,invf;

	combination(int N = 0) : f(1,1),invf(1,1)
	{
		update(N);
	}

	void update(int N)
	{
		if((int)f.size() > N) return;
		int pi = (int)f.size();
		N = max(N,pi*2);

		f.resize(N+1),invf.resize(N+1);

		for(int i = pi;i <= N;i++) f[i] = f[i-1]*i;
		invf[N] = S(1)/f[N];
		for(int i = N-1;i >= pi;i--) invf[i] = invf[i+1]*(i+1);
	}

	S factorial(int N)
	{
		update(N);
		return f[N];
	}

	S invfactorial(int N)
	{
		update(N);
		return invf[N];
	}

	S P(int N,int K)
	{
		assert(0 <= K && K <= N);
		update(N);
		return f[N]*invf[N-K];
	}

	S C(int N,int K)
	{
		assert(0 <= K && K <= N);
		update(N);
		return f[N]*invf[K]*invf[N-K];
	}

	S H(int N,int K)
	{
		if(!N) return K == 0 ? 1:0;
		return C(N+K-1,K);
	}
};
combination<mint> C;

void solve()
{
	int N;
	cin >> N;
	vector<vector<int>> G(N);
	for(int i = 1;i < N;i++)
	{
		int u,v;
		cin >> u >> v;
		u--; v--;
		G[u].push_back(v);
		G[v].push_back(u);
	}
	vector<int> ch(N);
	auto dfs = [&](auto dfs,int u,int p) -> void
	{
		ch[u] = 1;
		for(int v : G[u]) if(v != p)
		{
			dfs(dfs,v,u);
			ch[u] += ch[v];
		}
	};
	dfs(dfs,0,-1);
	vector<int> A(N);
	for(int i = 0;i < N;i++) cin >> A[i];
	mint ans = 0;
	for(int u = 0;u < N;u++)
	{
		vector<int> P,Q;
		for(int v : G[u])
		{
			if(ch[v] >= ch[u])
			{
				if(A[v] > A[u]) P.push_back(N - ch[u]);
				else if(A[v] < A[u]) Q.push_back(N - ch[u]);
			}
			else
			{
				if(A[v] > A[u]) P.push_back(ch[v]);
				else if(A[v] < A[u]) Q.push_back(ch[v]);
			}
		}
		{
			mint S = 0;
			for(int i = 0;i < (int)P.size();i++)
			{
				ans += S * P[i];
				S += P[i];
			}
		}
		{
			mint S = 0;
			for(int i = 0;i < (int)Q.size();i++)
			{
				ans += S * Q[i];
				S += Q[i];
			}
		}
	}
	cout << ans << endl;
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int tt = 1;
	/* cin >> tt; */
	while(tt--) solve();
}
0