oj.uz

Submission #1002737

# Submission time Handle Problem Language Result Execution time Memory
1002737 2024-06-19T18:50:25 Z toast12 Connecting Supertrees (IOI20_supertrees) C++14
11 / 100
 116 ms 24144 KB 
/*
	idea for subtask 4:
	- separate the nodes into different components according to input
	- in each component, find the nodes that require exactly one path 
	  from that node to some other node in the component
	- create a tree using these nodes
	- assign one node "root" node and create a cycle with all the 2-path
	  nodes and this node

*/

#include "supertrees.h"
#include <vector>
#include <map>
#include <iostream>
#include <set>
using namespace std;

#define sz(x) (int)x.size()

struct DSU {
	int n;
	vector<int> link, size;
	DSU(int sz) {
		n = sz;
		link.resize(sz);
		size.resize(sz);
		for (int i = 0; i < n; i++) {
			link[i] = i;
			size[i] = 1;
		}
	}
	int find(int x) {
		while (x != link[x])
			x = link[x];
		return x;
	} 
	bool same(int a, int b) {
		return find(a) == find(b);
	}
	void unite(int a, int b) {
		a = find(a);
		b = find(b);
		if (a == b)
			return;
		if (size[a] < size[b])
			swap(a, b);
		link[b] = a;
		size[a] += size[b];
	}
};

int construct(std::vector<vector<int>> p) {
	int n = p.size();
	vector<vector<int>> answer(n, vector<int>(n));
	vector<vector<int>> c(n);
	DSU d(n+1);
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			if (i == j)
				continue;
			if (p[i][j]) {
				if (!d.same(i, j)) {
					d.unite(i, j);
					int x = d.find(i);
					c[x].push_back(j);
					c[x].push_back(i);
				}
			}
		}
	}
	for (int i = 0; i < n; i++) {
		if (sz(c[i]) <= 1)
			continue;
		vector<bool> done(n);
		vector<int> x;
		for (int j = 0; j < sz(c[i]); j++) {
			if (!done[c[i][j]])
				x.push_back(c[i][j]);
			done[c[i][j]] = true;
		}
		vector<int> one, two;
		for (int j = 0; j < sz(x); j++) {
			int r = x[j];
			bool o = false;
			for (int k = 0; k < n; k++) {
				if (k == r)
					continue;
				if (p[r][k] == 1) {
					o = true;
					break;
				}
			}
			if (!o)
				two.push_back(x[j]);
			else
				one.push_back(x[j]);
		}
		int root = -1;
		if (!one.empty()) {
			for (int j = 0; j < sz(one)-1; j++) {
				answer[one[j]][one[j+1]] = 1;
				answer[one[j+1]][one[j]] = 1;
			}
			root = one[0];
		}
		if (!two.empty()) {
			two.push_back(root);
			for (int j = 0; j < sz(two)-1; j++) {
				answer[two[j]][two[j+1]] = 1;
				answer[two[j+1]][two[j]] = 1;
			}
			answer[two.back()][two[0]] = 1;
			answer[two[0]][two.back()] = 1;
		}
	}
	for (int i = 0; i < n; i++) {
		answer[i][i] = 0;
	}
	build(answer);
	return 1;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 4 ms 1372 KB Output is correct
7 Correct 107 ms 24144 KB Output is correct

Subtask #2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 4 ms 1372 KB Output is correct
7 Correct 107 ms 24144 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 116 ms 24076 KB Output is correct
14 Incorrect 0 ms 348 KB Answer gives possible 1 while actual possible 0
15 Halted 0 ms 0 KB -

Subtask #3
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 432 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Runtime error 0 ms 348 KB Execution killed with signal 11
5 Halted 0 ms 0 KB -

Subtask #4
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Runtime error 0 ms 348 KB Execution killed with signal 11
3 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 4 ms 1372 KB Output is correct
7 Correct 107 ms 24144 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 116 ms 24076 KB Output is correct
14 Incorrect 0 ms 348 KB Answer gives possible 1 while actual possible 0
15 Halted 0 ms 0 KB -

Subtask #6
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 4 ms 1372 KB Output is correct
7 Correct 107 ms 24144 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 116 ms 24076 KB Output is correct
14 Incorrect 0 ms 348 KB Answer gives possible 1 while actual possible 0
15 Halted 0 ms 0 KB -