Submission #878410

# Submission time Handle Problem Language Result Execution time Memory
878410 2023-11-24T10:19:35 Z SanguineChameleon Closing Time (IOI23_closing) C++17
59 / 100
1000 ms 35684 KB
#include "closing.h"
#include <bits/stdc++.h>
using namespace std;

const long long inf = 1e18L + 20;

namespace cardboard {
	vector<pair<int, long long>> boxes;
	long long K;

	bool cmp(pair<int, int> p1, pair<int, int> p2) {
		return boxes[p1.second].second - boxes[p1.first].second > boxes[p2.second].second - boxes[p2.first].second;
	}

	namespace whole {
		struct half {
			set<int> ids;
			set<pair<long long, int>> ones;
			set<pair<long long, int>> twos;
			long long sum = 0;
			int cnt = 0;
			int side;

			half(int _side): side(_side) {};

			void clear() {
				ids.clear();
				ones.clear();
				twos.clear();
				sum = 0;
				cnt = 0;
			}

			void add(int id) {
				if (side == 1) {
					sum += boxes[id].second;
				}
				ids.insert(id);
				if (boxes[id].first == 1) {
					ones.emplace(boxes[id].second, id);
					cnt += 1;
				}
				else {
					twos.emplace(boxes[id].second, id);
					cnt += 2;
				}
			}

			void rem(int id) {
				if (side == 1) {
					sum -= boxes[id].second;
				}
				ids.erase(id);
				if (boxes[id].first == 1) {
					ones.erase({boxes[id].second, id});
					cnt -= 1;
				}
				else {
					twos.erase({boxes[id].second, id});
					cnt -= 2;
				}
			}
		} left_half(1), right_half(2);

		set<int> ids;

		void fix() {
			left_half.clear();
			right_half.clear();
			bool flag = false;
			for (auto id: ids) {
				if (!flag && left_half.sum + boxes[id].second <= K) {
					left_half.add(id);
				}
				else {
					flag = true;
					right_half.add(id);
				}
			}
		}

		void add(int id) {
			ids.insert(id);
			fix();
		}

		void rem(int id) {
			ids.erase(id);
			fix();
		}

		int get() {
			vector<long long> cur_dp = {0};
			for (auto id: ids) {
				vector<long long> nxt_dp = cur_dp;
				nxt_dp.resize(nxt_dp.size() + boxes[id].first, inf);
				for (int j = 0; j < (int)cur_dp.size(); j++) {
					nxt_dp[j + boxes[id].first] = min(nxt_dp[j + boxes[id].first], cur_dp[j] + boxes[id].second);
				}
				cur_dp.swap(nxt_dp);
			}
			for (int i = (int)cur_dp.size() - 1; i >= 0; i--) {
				if (cur_dp[i] <= K) {
					return i;
				}
			}
			return 0;
/*			int res = left_half.ids.size();
			if (!right_half.ones.empty() && left_half.sum + right_half.ones.begin()->first <= K) {
				res++;
			}
			else if (!left_half.ones.empty() && !right_half.twos.empty() && left_half.sum - left_half.ones.rbegin()->first + right_half.twos.begin()->first <= K) {
				res++;
			}
			return res;*/
		}
	}

	int solve(int N, long long _K, vector<pair<long long, long long>> costs) {
		K = _K;
		vector<pair<long long, int>> order(N << 1);
		for (int i = 0; i < N; i++) {
			order[i << 1] = {costs[i].first << 1, i << 1};
			order[i << 1 | 1] = {costs[i].second, i << 1 | 1};
		}
		sort(order.begin(), order.end());
		vector<pair<int, int>> ids(N);
		boxes.resize(N << 1);
		for (int i = 0; i < (N << 1); i++) {
			if (order[i].second & 1) {
				boxes[i] = {2, order[i].first};
				ids[order[i].second >> 1].second = i;
			}
			else {
				boxes[i] = {1, order[i].first >> 1};
				ids[order[i].second >> 1].first = i;
			}
		}
		sort(ids.begin(), ids.end(), cmp);
		whole::ids.clear();
		for (int i = 0; i < N; i++) {
			whole::add(ids[i].second);
		}
		int res = whole::get();
		for (int i = 0; i < N; i++) {
			whole::add(ids[i].first);
			whole::rem(ids[i].second);
			res = max(res, whole::get());
		}
		return res;
	}
}

namespace tree {
	vector<vector<pair<int, int>>> adj;

	void init(int N) {
		adj.resize(N);
		for (int i = 0; i < N; i++) {
			adj[i].clear();
		}
	}

	void add_edge(int u, int v, int w) {
		adj[u].emplace_back(v, w);
		adj[v].emplace_back(u, w);
	}

	void dfs(int u, int p, vector<long long> &dist) {
		for (auto [v, w]: adj[u]) {
			if (v != p) {
				dist[v] = dist[u] + w;
				dfs(v, u, dist);
			}
		}
	}
}

int max_score(int N, int X, int Y, long long K, vector<int> U, vector<int> V, vector<int> W) {
	tree::init(N);
	for (int i = 0; i < N - 1; i++) {
		tree::add_edge(U[i], V[i], W[i]);
	}
	vector<long long> distX(N), distY(N);
	tree::dfs(X, -1, distX);
	tree::dfs(Y, -1, distY);
	vector<long long> dists(distX.begin(), distX.end());
	dists.insert(dists.end(), distY.begin(), distY.end());
	sort(dists.begin(), dists.end());
	int res = 0;
	long long sum = 0;
	for (auto d: dists) {
		if (sum + d <= K) {
			sum += d;
			res++;
		}
		else {
			break;
		}
	}
	int cnt = 0;
	vector<pair<long long, long long>> costs(N);
	for (int i = 0; i < N; i++) {
		if (distX[i] + distY[i] == distX[Y]) {
			cnt++;
			K -= min(distX[i], distY[i]);
			costs[i] = {max(distX[i], distY[i]) - min(distX[i], distY[i]), inf};
		}
		else {
			costs[i] = {min(distX[i], distY[i]), max(distX[i], distY[i])};
		}
	}
	if (K >= 0) {
		res = max(res, cnt + cardboard::solve(N, K, costs));
	}
	return res;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 114 ms 30740 KB Output is correct
2 Correct 126 ms 35684 KB Output is correct
3 Correct 62 ms 2896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 372 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 372 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 344 KB Output is correct
13 Correct 4 ms 348 KB Output is correct
14 Correct 4 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 348 KB Output is correct
19 Correct 187 ms 700 KB Output is correct
20 Correct 165 ms 600 KB Output is correct
21 Correct 163 ms 604 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 372 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 344 KB Output is correct
13 Correct 4 ms 348 KB Output is correct
14 Correct 4 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 4 ms 348 KB Output is correct
19 Correct 187 ms 700 KB Output is correct
20 Correct 165 ms 600 KB Output is correct
21 Correct 163 ms 604 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 51 ms 508 KB Output is correct
26 Execution timed out 1024 ms 2212 KB Time limit exceeded
27 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 372 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 448 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 372 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 5 ms 344 KB Output is correct
14 Correct 4 ms 348 KB Output is correct
15 Correct 4 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 448 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 2 ms 348 KB Output is correct
39 Correct 5 ms 348 KB Output is correct
40 Correct 4 ms 348 KB Output is correct
41 Correct 5 ms 348 KB Output is correct
42 Correct 0 ms 600 KB Output is correct
43 Correct 4 ms 348 KB Output is correct
44 Correct 4 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 4 ms 348 KB Output is correct
47 Correct 5 ms 348 KB Output is correct
48 Correct 3 ms 348 KB Output is correct
49 Correct 2 ms 348 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 372 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 5 ms 344 KB Output is correct
14 Correct 4 ms 348 KB Output is correct
15 Correct 4 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 4 ms 348 KB Output is correct
20 Correct 187 ms 700 KB Output is correct
21 Correct 165 ms 600 KB Output is correct
22 Correct 163 ms 604 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 344 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 448 KB Output is correct
41 Correct 0 ms 344 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 2 ms 348 KB Output is correct
46 Correct 5 ms 348 KB Output is correct
47 Correct 4 ms 348 KB Output is correct
48 Correct 5 ms 348 KB Output is correct
49 Correct 0 ms 600 KB Output is correct
50 Correct 4 ms 348 KB Output is correct
51 Correct 4 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 4 ms 348 KB Output is correct
54 Correct 5 ms 348 KB Output is correct
55 Correct 3 ms 348 KB Output is correct
56 Correct 2 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 5 ms 348 KB Output is correct
59 Correct 18 ms 600 KB Output is correct
60 Correct 21 ms 348 KB Output is correct
61 Correct 37 ms 348 KB Output is correct
62 Correct 31 ms 348 KB Output is correct
63 Correct 205 ms 812 KB Output is correct
64 Correct 168 ms 664 KB Output is correct
65 Correct 150 ms 660 KB Output is correct
66 Correct 176 ms 848 KB Output is correct
67 Correct 0 ms 348 KB Output is correct
68 Correct 141 ms 676 KB Output is correct
69 Correct 173 ms 696 KB Output is correct
70 Correct 1 ms 348 KB Output is correct
71 Correct 1 ms 348 KB Output is correct
72 Correct 187 ms 680 KB Output is correct
73 Correct 108 ms 604 KB Output is correct
74 Correct 132 ms 600 KB Output is correct
75 Correct 16 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 372 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 5 ms 344 KB Output is correct
14 Correct 4 ms 348 KB Output is correct
15 Correct 4 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 4 ms 348 KB Output is correct
20 Correct 187 ms 700 KB Output is correct
21 Correct 165 ms 600 KB Output is correct
22 Correct 163 ms 604 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 51 ms 508 KB Output is correct
27 Execution timed out 1024 ms 2212 KB Time limit exceeded
28 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 372 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 5 ms 344 KB Output is correct
14 Correct 4 ms 348 KB Output is correct
15 Correct 4 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 4 ms 348 KB Output is correct
20 Correct 187 ms 700 KB Output is correct
21 Correct 165 ms 600 KB Output is correct
22 Correct 163 ms 604 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 51 ms 508 KB Output is correct
27 Execution timed out 1024 ms 2212 KB Time limit exceeded
28 Halted 0 ms 0 KB -