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답안 #1081795

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1081795 2024-08-30T10:58:17 Z vuavisao Chase (CEOI17_chase) C++14
40 / 100
 282 ms 524288 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
using namespace std;

using ll = long long;

const int N = 100'000 + 1;

int n, breads;
int pigeons[N];
vector<int> g[N];

// namespace sub1 {
// 	bool check() {
// 		return (n <= 10);
// 	}

// 	int parent[N];
// 	ll curPigeons[N];

// 	ll getDiff(int u, ll cur) {
// 		ll after = 0;
// 		while (u != 0) {
// 			after += curPigeons[u];
// 			u = parent[u];
// 		}
// 		return abs(after - cur);
// 	}

// 	ll dfs(int u, ll cur, int use) {
// 		ll res = 0;
// 		// doesn't drop the breadcrumb
// 		cur += curPigeons[u];
// 		res = max(res, getDiff(u, cur));
// 		for (const auto& v : g[u]) {
// 			if (v == parent[u]) continue;
// 			parent[v] = u;
// 			res = max(res, dfs(v, cur, use));
// 		}

// 		// drop the breadcrumb
// 		if (use < breads) {
// 			vector<ll> oldPigeons(n + 1, 0);
// 			oldPigeons[u] = curPigeons[u];
// 			for (const auto& v : g[u]) {
// 				oldPigeons[v] = curPigeons[v];
// 			}
// 			for (const auto& v : g[u]) {
// 				curPigeons[u] += curPigeons[v];
// 				curPigeons[v] = 0;
// 			}

// 			res = max(res, getDiff(u, cur));
			
// 			for (const auto& v : g[u]) {
// 				if (v == parent[u]) continue;
// 				parent[v] = u;
// 				res = max(res, dfs(v, cur, use + 1));
// 			}

// 			curPigeons[u] = oldPigeons[u];
// 			for (const auto& v : g[u]) {
// 				curPigeons[v] = oldPigeons[v];
// 			}
// 		}
// 		return res;
// 	}

// 	void solve() {
// 		ll res = 0;
// 		for (int root = 1; root <= n; ++ root) {
// 			for (int u = 1; u <= n; ++ u) {
// 				curPigeons[u] = pigeons[u];
// 				parent[u] = 0;
// 			}
// 			res = max(res, dfs(root, 0, 0));
// 		}
// 		cout << res;
// 	}
// }

// namespace sub2 {
// 	bool check() {
// 		return (n <= 1'000);
// 	}

// 	ll dp[N][110];

// 	void dfs(int u, int p) {
// 		ll bonus = -pigeons[p];
// 		for (const auto& v : g[u]) {
// 			bonus += pigeons[v];
// 		}
// 		for (int use = breads - 1; use >= 0; -- use) {
// 			dp[u][use + 1] = max(dp[u][use + 1], dp[u][use] + bonus);
// 		}
// 		for (const auto& v : g[u]) {
// 			if (v == p) continue;
// 			for (int use = 0; use <= breads; ++ use) {
// 				dp[v][use] = max(dp[v][use], dp[u][use]);
// 			}
// 			dfs(v, u);
// 		}
// 	}

// 	ll calc(int root) {
// 		for (int u = 0; u <= n + 1; ++ u) {
// 			for (int use = 0; use <= breads + 1; ++ use) {
// 				dp[u][use] = 0;
// 			}
// 		}
// 		dfs(root, 0);
// 		ll res = 0;
// 		for (int u = 1; u <= n; ++ u) {
// 			for (int use = 0; use <= breads; ++ use) {
// 				res = max(res, dp[u][use]);
// 			}
// 		}
// 		return res;
// 	}

// 	void solve() {
// 		ll res = 0;
// 		for (int root = 1; root <= n; ++ root) {
// 			res = max(res, calc(root));
// 		}
// 		cout << res;
// 	}
// }

namespace sub4 {
	pair<ll, int> dpOut[N][101][2];
	pair<ll, int> dpIn[N][101][2];
	ll cost[N];
	ll res = 0;

	ll getCost(int u, int p) {
		return cost[u] - pigeons[p];
	}

	void update(pair<ll, int> cur[], pair<ll, int> val) {
		pair<ll, int> old = cur[0];
		if (val.first > cur[0].first) {
			cur[0] = val;
			cur[1] = max(cur[1], old);
		}
		else {
			cur[1] = max(cur[1], val);
		}
	}

	void dfsInOut(int u, int p) {
		// out is u can accept len >= 1
		for (int use = 0; use <= breads; ++ use) {
			dpOut[u][use][0] = (use == 0 ? make_pair(0ll, u) : make_pair(getCost(u, 0), u));
		}
		// in is u can accept len >= 2
		for (int use = 0; use <= breads; ++ use) {
			dpIn[u][use][0] = (use == 0 ? make_pair(0ll, -1) : make_pair(getCost(u, p), u));
		}

		for (const auto& v : g[u]) {
			if (v == p) continue;
			dfsInOut(v, u);

			// case out:
			// prefix u = v
			for (int use = 0; use <= breads; ++ use) {
				pair<ll, int> cur = make_pair(dpOut[v][use][0].first, v);
				update(dpOut[u][use], cur);
				if (use < breads) {
					cur.first += getCost(u, v);
					update(dpOut[u][use + 1], cur);
				}
			}

			// case in:
			// prefix v = u
			for (int use = 0; use <= breads; ++ use) {
				pair<ll, int> cur = make_pair(dpIn[v][use][0].first, v);
				update(dpIn[u][use], cur);
				if (use < breads) {
					cur.first += getCost(u, p);
					update(dpIn[u][use + 1], cur);
				}
			}
		}

		for (const auto& v : g[u]) {
			if (v == p) continue;
			
			for (int useOut = 0; useOut <= breads; ++ useOut) {
				int useIn = breads - useOut;
				for (int typeOut = 0; typeOut < 2; ++ typeOut) {
					for (int typeIn = 0; typeIn < 2; ++ typeIn) {
						if (dpOut[u][useOut][typeOut].second == v) continue;
						res = max(res, dpOut[u][useOut][typeOut].first + dpIn[v][useIn][typeIn].first);
					}
				}
			}
		}
		for (int useOut = 0; useOut <= breads; ++ useOut) {
			res = max(res, dpOut[u][useOut][0].first);
		}
	}

	void solve() {
		for (int u = 1; u <= n; ++ u) {
			for (const auto& v : g[u]) {
				cost[v] += pigeons[u];
			}
		}
		dfsInOut(1, 0);
		cout << res;
	}

}

int32_t main() {
	std::ios_base::sync_with_stdio(false);
	std::cin.tie(nullptr); std::cout.tie(nullptr);
	cin >> n >> breads;
	for (int u = 1; u <= n; ++ u) cin >> pigeons[u];
	for (int i = 2; i <= n; ++ i) {
		int u, v; cin >> u >> v;
		g[u].push_back(v);
		g[v].push_back(u);
	}
	// if (sub1::check()) {
	// 	sub1::solve();
	// 	return 0;
	// }
	// if (sub2::check()) {
	// 	sub2::solve();
	// 	return 0;
	// }
	// cout << sub2::calc(1);
	sub4::solve();
	return (0 ^ 0);
}

/// Code by vuavisao

Subtask #1
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct

Subtask #2
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 6 ms 9052 KB Output is correct
8 Correct 4 ms 9052 KB Output is correct
9 Correct 4 ms 9052 KB Output is correct
10 Correct 5 ms 9052 KB Output is correct
11 Correct 4 ms 9052 KB Output is correct
12 Correct 4 ms 9052 KB Output is correct

Subtask #3
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 282 ms 524288 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #4
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 6 ms 9052 KB Output is correct
8 Correct 4 ms 9052 KB Output is correct
9 Correct 4 ms 9052 KB Output is correct
10 Correct 5 ms 9052 KB Output is correct
11 Correct 4 ms 9052 KB Output is correct
12 Correct 4 ms 9052 KB Output is correct
13 Runtime error 282 ms 524288 KB Execution killed with signal 9
14 Halted 0 ms 0 KB -