Submission #1102655

# Submission time Handle Problem Language Result Execution time Memory
1102655 2024-10-18T15:04:15 Z xnqs Topical (NOI23_topical) C++17
61 / 100
1000 ms 290004 KB
#pragma GCC optimize("Ofast")
//#pragma GCC target("avx2,bmi2,popcnt,lzcnt")

#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::unordered_set<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(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(); it++) {
		auto [key, node] = *it;
		if (key > cap[pos]) {
			break;
		}
		if (node->pfx_cnt <= 0) {
			continue;
		}

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

	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 2384 KB Output is correct
4 Correct 336 ms 290004 KB Output is correct
5 Correct 379 ms 289984 KB Output is correct
6 Correct 379 ms 290000 KB Output is correct
7 Correct 248 ms 211784 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 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 2384 KB Output is correct
8 Correct 3 ms 2384 KB Output is correct
9 Correct 3 ms 2128 KB Output is correct
10 Correct 4 ms 2128 KB Output is correct
11 Correct 5 ms 2128 KB Output is correct
12 Correct 4 ms 2384 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 38 ms 11996 KB Output is correct
5 Correct 38 ms 12112 KB Output is correct
6 Correct 608 ms 117832 KB Output is correct
7 Correct 589 ms 117832 KB Output is correct
8 Correct 596 ms 117832 KB Output is correct
9 Correct 615 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 2384 KB Output is correct
4 Correct 336 ms 290004 KB Output is correct
5 Correct 379 ms 289984 KB Output is correct
6 Correct 379 ms 290000 KB Output is correct
7 Correct 248 ms 211784 KB Output is correct
8 Correct 1 ms 336 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 2384 KB Output is correct
15 Correct 3 ms 2384 KB Output is correct
16 Correct 3 ms 2128 KB Output is correct
17 Correct 4 ms 2128 KB Output is correct
18 Correct 5 ms 2128 KB Output is correct
19 Correct 4 ms 2384 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 38 ms 11996 KB Output is correct
24 Correct 38 ms 12112 KB Output is correct
25 Correct 608 ms 117832 KB Output is correct
26 Correct 589 ms 117832 KB Output is correct
27 Correct 596 ms 117832 KB Output is correct
28 Correct 615 ms 117832 KB Output is correct
29 Correct 329 ms 196936 KB Output is correct
30 Correct 329 ms 196400 KB Output is correct
31 Execution timed out 1059 ms 217248 KB Time limit exceeded
32 Halted 0 ms 0 KB -