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Submission #1041336

# Submission time Handle Problem Language Result Execution time Memory
1041336 2024-08-01T22:02:26 Z sssamui Sirni (COCI17_sirni) C++17
140 / 140
 1002 ms 747208 KB 
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>

using std::cout;
using std::endl;
using std::pair;
using std::vector;

class DisjointSets {
  private:
	vector<int> parents;
	vector<int> sizes;

  public:
	DisjointSets(int size) : parents(size), sizes(size, 1) {
		for (int i = 0; i < size; i++) { parents[i] = i; }
	}

	int find(int n) {
		return parents[n] == n ? n : (parents[n] = find(parents[n]));
	}

	bool unite(int n1, int n2) {
		n1 = find(n1);
		n2 = find(n2);
		if (n1 == n2) { return false; }
		if (sizes[n1] < sizes[n2]) { std::swap(n1, n2); }
		sizes[n1] += sizes[n2];
		parents[n2] = n1;
		return true;
	}
};

int main() {
	int card_num;
	std::cin >> card_num;
	vector<int> cards(card_num);
	for (int &c : cards) {
		std::cin >> c;
		assert(c >= 1);
	}

	std::sort(cards.begin(), cards.end());
	// we can erase the dupes bc modding them with the original one = 0
	cards.erase(std::unique(cards.begin(), cards.end()), cards.end());

	int largest = cards.back();  // since we sorted the cards already
	// next_largest[i] contains the index of lowest card value that's >= i
	vector<int> next_largest(largest + 1, -1);
	for (int i = 0; i < cards.size(); i++) { next_largest[cards[i]] = i; }
	for (int c = largest - 1; c >= 0; c--) {
		// if this isn't assigned yet, assign it the previous one
		if (next_largest[c] == -1) { next_largest[c] = next_largest[c + 1]; }
	}

	vector<vector<pair<int, int>>> good_links(largest + 1);
	for (int i = 0; i < cards.size() - 1; i++) {
		// get all relevant cards this card could be connected to
		good_links[cards[i + 1] % cards[i]].push_back({i, i + 1});
		for (int at = 2 * cards[i]; at <= largest; at += cards[i]) {
			int good_mod = next_largest[at];
			good_links[cards[good_mod] % cards[i]].push_back({i, good_mod});
		}
	}

	long long total_cost = 0;
	DisjointSets linked_cards(cards.size());
	for (int c = 0; c <= largest; c++) {
		for (const pair<int, int> &link : good_links[c]) {
			bool result = linked_cards.unite(link.first, link.second);
			total_cost += c * result;
		}
	}

	cout << total_cost << endl;
}

Compilation message

sirni.cpp: In function 'int main()':
sirni.cpp:52:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   52 |  for (int i = 0; i < cards.size(); i++) { next_largest[cards[i]] = i; }
      |                  ~~^~~~~~~~~~~~~~
sirni.cpp:59:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   59 |  for (int i = 0; i < cards.size() - 1; i++) {
      |                  ~~^~~~~~~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 111 ms 274132 KB Output is correct
2 Correct 168 ms 302588 KB Output is correct
3 Correct 107 ms 273496 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 689 ms 668504 KB Output is correct
3 Correct 100 ms 275064 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 109 ms 274452 KB Output is correct
2 Correct 114 ms 273916 KB Output is correct
3 Correct 104 ms 274452 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 38924 KB Output is correct
2 Correct 89 ms 70596 KB Output is correct
3 Correct 71 ms 50680 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 29736 KB Output is correct
2 Correct 68 ms 51500 KB Output is correct
3 Correct 43 ms 25336 KB Output is correct

Subtask #6
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 50304 KB Output is correct
2 Correct 103 ms 87232 KB Output is correct
3 Correct 66 ms 48264 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 9920 KB Output is correct
2 Correct 108 ms 85616 KB Output is correct
3 Correct 56 ms 52656 KB Output is correct

Subtask #8
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 156 ms 289132 KB Output is correct
2 Correct 739 ms 632872 KB Output is correct
3 Correct 160 ms 291876 KB Output is correct

Subtask #9
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 293160 KB Output is correct
2 Correct 1002 ms 747208 KB Output is correct
3 Correct 257 ms 348508 KB Output is correct

Subtask #10
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 276836 KB Output is correct
2 Correct 845 ms 634976 KB Output is correct
3 Correct 57 ms 52884 KB Output is correct