結果

問題 No.2115 Making Forest Easy
ユーザー kwm_tkwm_t
提出日時 2022-10-29 18:01:12
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 650 ms / 2,000 ms
コード長 3,196 bytes
コンパイル時間 4,051 ms
コンパイル使用メモリ 273,088 KB
実行使用メモリ 396,540 KB
最終ジャッジ日時 2024-07-06 15:37:43
合計ジャッジ時間 21,825 ms
ジャッジサーバーID
(参考情報)
judge5 / judge1
このコードへのチャレンジ
(要ログイン)

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
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 650 ms
395,776 KB
testcase_03 AC 358 ms
101,592 KB
testcase_04 AC 603 ms
313,600 KB
testcase_05 AC 444 ms
235,584 KB
testcase_06 AC 614 ms
395,920 KB
testcase_07 AC 349 ms
51,244 KB
testcase_08 AC 613 ms
396,032 KB
testcase_09 AC 316 ms
43,648 KB
testcase_10 AC 622 ms
396,416 KB
testcase_11 AC 365 ms
101,268 KB
testcase_12 AC 317 ms
43,648 KB
testcase_13 AC 321 ms
91,040 KB
testcase_14 AC 354 ms
43,644 KB
testcase_15 AC 370 ms
49,276 KB
testcase_16 AC 351 ms
101,584 KB
testcase_17 AC 32 ms
12,460 KB
testcase_18 AC 100 ms
68,576 KB
testcase_19 AC 327 ms
207,356 KB
testcase_20 AC 289 ms
43,844 KB
testcase_21 AC 39 ms
25,472 KB
testcase_22 AC 68 ms
23,468 KB
testcase_23 AC 442 ms
270,592 KB
testcase_24 AC 354 ms
101,568 KB
testcase_25 AC 211 ms
112,256 KB
testcase_26 AC 311 ms
43,776 KB
testcase_27 AC 181 ms
55,464 KB
testcase_28 AC 347 ms
51,540 KB
testcase_29 AC 67 ms
46,080 KB
testcase_30 AC 350 ms
49,460 KB
testcase_31 AC 547 ms
309,988 KB
testcase_32 AC 626 ms
396,540 KB
testcase_33 AC 617 ms
395,716 KB
testcase_34 AC 41 ms
14,696 KB
testcase_35 AC 135 ms
91,392 KB
testcase_36 AC 630 ms
395,904 KB
testcase_37 AC 173 ms
52,496 KB
testcase_38 AC 91 ms
29,900 KB
testcase_39 AC 252 ms
162,308 KB
testcase_40 AC 346 ms
49,160 KB
testcase_41 AC 312 ms
43,600 KB
testcase_42 AC 357 ms
101,352 KB
testcase_43 AC 158 ms
28,848 KB
testcase_44 AC 91 ms
29,548 KB
testcase_45 AC 265 ms
39,024 KB
testcase_46 AC 352 ms
101,352 KB
testcase_47 AC 141 ms
24,912 KB
testcase_48 AC 542 ms
299,588 KB
testcase_49 AC 562 ms
321,832 KB
testcase_50 AC 216 ms
63,888 KB
testcase_51 AC 145 ms
42,548 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 <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
//using mint = modint1000000007;
//const int mod = 1000000007;
using mint = modint998244353;
const int mod = 998244353;
//const int INF = 1e9;
//const long long LINF = 1e18;
//const bool debug = false;
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep2(i,l,r)for(int i=(l);i<(r);++i)
#define rrep(i, n) for (int i = (n-1); i >= 0; --i)
#define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i)
#define all(x) (x).begin(),(x).end()
#define allR(x) (x).rbegin(),(x).rend()
#define endl "\n"
#define P pair<long long,long long>
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
struct ReRooting {
	struct Edge {
		int to;
		Edge(int _to) :to(_to) {}
	};
	using arr = array<mint, 1001>;
	vector<int>a;
	vector<vector<Edge>>g;
	vector<arr>dp, ans;
	arr e(int x = -1) {
		arr ret;
		rep(i, 1001)ret[i] = 0;
		if (x >= 0)ret[x] = 1;
		return ret;
	}
	int sz;
	ReRooting(int _sz) :sz(_sz) {
		a.resize(sz);
		g.resize(sz);
		dp.resize(sz);
		ans.resize(sz);
	}
	void ReadGraph() {
		rep(i, sz - 1) {
			int a, b; cin >> a >> b; a--; b--;
			g[a].push_back({ b });
			g[b].push_back({ a });
		}
	}
	arr mergeSub(const arr &lh, const arr &rh) {
		arr ret = e();
		arr lsub = lh, rsub = rh;
		rep2(i, 1, 1001)rsub[0] += rsub[i];
		rep2(i, 1, lsub.size())lsub[i] = lsub[i - 1] + lh[i];
		rep2(i, 1, rsub.size())rsub[i] = rsub[i - 1] + rh[i];
		rep(i, ret.size()) ret[i] = lsub[i] * rsub[i];
		rrep2(i, 1, ret.size())ret[i] -= ret[i - 1];
		return ret;
	}
	arr merge(const arr &lh, const arr &rh) {
		arr ret = e();
		arr lsub = lh, rsub = rh;
		rep2(i, 1, lsub.size())lsub[i] = lsub[i - 1] + lh[i];
		rep2(i, 1, rsub.size())rsub[i] = rsub[i - 1] + rh[i];
		rep(i, ret.size()) ret[i] = lsub[i] * rsub[i];
		rrep2(i, 1, ret.size())ret[i] -= ret[i - 1];
		return ret;
	}
	void dfs(int v, int p = -1) {
		auto sub = e(0);
		for (auto e : g[v]) {
			if (p == e.to)continue;
			dfs(e.to, v);
			sub = mergeSub(sub, dp[e.to]);
		}
		dp[v] = e(a[v]);
		dp[v] = merge(dp[v], sub);
	}
	void dfsR(int v, int p = -1) {
		ans[v] = dp[v];
		if (-1 != p) ans[v] = mergeSub(ans[v], dp[p]);
		vector<arr>vdata;
		for (auto e : g[v]) vdata.push_back(dp[e.to]);
		int sz = vdata.size();
		vector<arr>sumL(sz + 1), sumR(sz + 1);
		sumL[0] = e(0), sumR[0] = e(0);
		rep(i, sz)sumL[i + 1] = mergeSub(sumL[i], vdata[i]);
		rep(i, sz)sumR[i + 1] = mergeSub(sumR[i], vdata[sz - i - 1]);
		for (int i = 0; i < g[v].size(); ++i) {
			auto nv = g[v][i].to;
			if (p == nv)continue;
			auto chi = merge(sumL[i], sumR[sz - (i + 1)]);
			arr sub = e(a[v]);
			dp[v] = merge(sub, chi);
			dfsR(nv, v);
		}
	}
	void output() {
		mint ret = 0;
		rep(i, sz) rep(j, 1001) ret += ans[i][j] * j;
		cout << ret.val() << endl;
	}
	void solve() {
		rep(i, sz)cin >> a[i];
		ReadGraph();
		dfs(0);
		dfsR(0);
		output();
	}
};
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int n; cin >> n;
	ReRooting reroot(n);
	reroot.solve();
	return 0;
}
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