Submission #1102662

# Submission time Handle Problem Language Result Execution time Memory
1102662 2024-10-18T15:10:26 Z xnqs Topical (NOI23_topical) C++17
61 / 100
1000 ms 274400 KB
#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>
#include <map>
#include <unordered_set>

struct Module {
	int n;
	std::vector<int> req;
	std::vector<int> add;

	Module(int n = 0): n(n) {
		req.assign(n, 0);
		add.assign(n, 0);
	}
};

struct TrieNode {
	std::vector<int> idx;
	int pfx_cnt = 0;
	std::map<int, TrieNode*> next;

	~TrieNode() {
		for (auto& [key, val] : next) {
			if (val) {
				delete val;
			}
		}
		next.clear();
	}
};

int x, k;
std::vector<Module> arr;
TrieNode* root = new TrieNode;

void add_word(TrieNode* root, const std::vector<int>& word, int val) {
	for (int i = 0; i < k; i++) {
		if (!root->next[word[i]]) {
			root->next[word[i]] = new TrieNode;
		}

		root = root->next[word[i]];
		++root->pfx_cnt;
	}

	root->idx.emplace_back(val);
}

int search(TrieNode* root, const std::vector<int64_t>& cap, std::vector<int64_t>& add, int pos = 0) {
	if (pos == k) {
		for (int i = 0; i < k; i++) {
			for (const auto& j : root->idx) {
				add[i] += arr[j].add[i];
			}
		}

		int ret = (int)root->idx.size();
		root->pfx_cnt -= root->idx.size();
		root->idx.clear();
		return ret;
	}

	int ret = 0;
	for (auto it = root->next.begin(); it != root->next.end();) {
		auto [key, node] = *it;
		if (key > cap[pos]) {
			break;
		}

		int tmp = search(node, cap, add, pos+1);
		ret += tmp;
		root->pfx_cnt -= tmp;

		if (node->pfx_cnt <= 0) {
			it = root->next.erase(it);
		}
		else {
			++it;
		}
	}

	return ret;
}

void solve_k1() {
	std::sort(arr.begin(), arr.end(), [](const Module& a, const Module& b) {
		return a.req[0] < b.req[0];
	});

	int ans = 0;
	int64_t curr_skill = 0;
	for (const auto& it : arr) {
		int req = it.req[0];
		int add = it.add[0];

		if (curr_skill < req) {
			break;
		}

		++ans;
		curr_skill += add;
	}

	std::cout << ans << "\n";
}

int main() {
	std::ios_base::sync_with_stdio(false);
	std::cin.tie(NULL);
	std::cout.tie(NULL);

	std::cin >> x >> k;
	arr.reserve(x);
	for (int i = 0; i < x; i++) {
		arr.emplace_back(k);
		for (int j = 0; j < k; j++) {
			std::cin >> arr[i].req[j];
		}
	}
	for (int i = 0; i < x; i++) {
		for (int j = 0; j < k; j++) {
			std::cin >> arr[i].add[j];
		}
	}

	if (k==1) {
		solve_k1();
		return 0;
	}
	
	for (int i = 0; i < x; i++) {
		add_word(root, arr[i].req, i);
	}

	std::vector<int64_t> cap(k, 0);
	int ans = 0;
	while (1) {
		std::vector<int64_t> add(k, 0);
		int nodes = search(root, cap, add);
		if (!nodes) {
			break;
		}

		ans += nodes;
		for (int i = 0; i < k; i++) {
			cap[i] += add[i];
		}
	}

	std::cout << ans << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 3 ms 2128 KB Output is correct
4 Correct 400 ms 274380 KB Output is correct
5 Correct 426 ms 274368 KB Output is correct
6 Correct 414 ms 274400 KB Output is correct
7 Correct 204 ms 180452 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 4 ms 1872 KB Output is correct
8 Correct 5 ms 1872 KB Output is correct
9 Correct 3 ms 1872 KB Output is correct
10 Correct 3 ms 1616 KB Output is correct
11 Correct 3 ms 1872 KB Output is correct
12 Correct 4 ms 1872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 4 ms 1616 KB Output is correct
4 Correct 36 ms 12116 KB Output is correct
5 Correct 34 ms 12112 KB Output is correct
6 Correct 564 ms 117780 KB Output is correct
7 Correct 557 ms 117832 KB Output is correct
8 Correct 588 ms 117840 KB Output is correct
9 Correct 601 ms 117832 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 3 ms 2128 KB Output is correct
4 Correct 400 ms 274380 KB Output is correct
5 Correct 426 ms 274368 KB Output is correct
6 Correct 414 ms 274400 KB Output is correct
7 Correct 204 ms 180452 KB Output is correct
8 Correct 1 ms 504 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 4 ms 1872 KB Output is correct
15 Correct 5 ms 1872 KB Output is correct
16 Correct 3 ms 1872 KB Output is correct
17 Correct 3 ms 1616 KB Output is correct
18 Correct 3 ms 1872 KB Output is correct
19 Correct 4 ms 1872 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 4 ms 1616 KB Output is correct
23 Correct 36 ms 12116 KB Output is correct
24 Correct 34 ms 12112 KB Output is correct
25 Correct 564 ms 117780 KB Output is correct
26 Correct 557 ms 117832 KB Output is correct
27 Correct 588 ms 117840 KB Output is correct
28 Correct 601 ms 117832 KB Output is correct
29 Correct 309 ms 165708 KB Output is correct
30 Correct 307 ms 164836 KB Output is correct
31 Execution timed out 1075 ms 174920 KB Time limit exceeded
32 Halted 0 ms 0 KB -