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Submission #1049884

# Submission time Handle Problem Language Result Execution time Memory
1049884 2024-08-09T05:54:18 Z aykhn Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 136 ms 24148 KB 
#include "supertrees.h"
#include <bits/stdc++.h>

using namespace std;

struct DSU
{
	vector<int> e;
	void init(int n)
	{
		e.assign(n, -1);
	}
	int get(int x)
	{
		if (e[x] < 0) return x;
		return e[x] = get(e[x]);
	}
	int unite(int x, int y)
	{
		x = get(x), y = get(y);
		if (x == y) return 0;
		if (e[x] > e[y]) swap(x, y);
		e[x] += e[y];
		e[y] = x;
		return 1;
	}
};

int construct(std::vector<std::vector<int>> p) {
	int n = p.size();
	vector<vector<int>> ans(n, vector<int> (n, 0));
	DSU dsu;
	dsu.init(n);
	for (int i = 0; i < n; i++)
	{
		for (int j = 0; j < n; j++)
		{
			if (p[i][j] == 3) return 0;
			if (p[i][j] == 1 && dsu.unite(i, j)) ans[i][j] = ans[j][i] = 1;
		}
	}
	vector<int> comp[n];
	for (int i = 0; i < n; i++) comp[dsu.get(i)].push_back(i);
	DSU d1;
	d1.init(n);
	for (int i = 0; i < n; i++)
	{
		if (i != dsu.get(i)) continue;
		for (int &j : comp[i])
		{
			for (int k = 0; k < n; k++)
			{
				if ((p[j][k] == 2) != (p[i][k] == 2)) return 0;
			}
		}
		for (int j = 0; j < n; j++)
		{
			if (p[i][j] == 2) d1.unite(i, dsu.get(j));
		}
	}
	vector<int> con[n];
	for (int i = 0; i < n; i++) 
	{
		for (int &j : con[d1.get(i)])
		{
			for (int &k : comp[j])
			{
				for (int &l : comp[i])
				{
					if (p[k][l] != 2) return 0;
				}
			}
		}
		con[d1.get(i)].push_back(i);
	}
	for (int i = 0; i < n; i++)
	{
		if (con[i].size() <= 1) continue;
		if (con[i].size() == 2) return 0;
		int prev = con[i].back();
		for (int &j : con[i]) 
		{
			dsu.unite(prev, j);
			ans[prev][j] = ans[j][prev] = 1;
			prev = j;
		}
	}
	for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) if (dsu.get(i) == dsu.get(j) && !p[i][j]) return 0;
	build(ans);
	return 1;
}

Subtask #1
11.0 / 11.0

# 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 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 8 ms 1116 KB Output is correct
7 Correct 102 ms 22040 KB Output is correct

Subtask #2
10.0 / 10.0

# 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 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 8 ms 1116 KB Output is correct
7 Correct 102 ms 22040 KB Output is correct
8 Correct 0 ms 600 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 4 ms 1116 KB Output is correct
13 Correct 136 ms 22120 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 59 ms 12096 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 47 ms 5780 KB Output is correct
21 Correct 100 ms 22096 KB Output is correct
22 Correct 97 ms 22096 KB Output is correct
23 Correct 103 ms 22100 KB Output is correct
24 Correct 97 ms 22096 KB Output is correct
25 Correct 43 ms 12120 KB Output is correct
26 Correct 54 ms 12116 KB Output is correct
27 Correct 104 ms 22096 KB Output is correct
28 Correct 101 ms 22100 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 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 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 4 ms 1116 KB Output is correct
9 Correct 109 ms 22288 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 6 ms 1108 KB Output is correct
13 Correct 116 ms 22080 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 932 KB Output is correct
17 Correct 64 ms 14216 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 604 KB Output is correct
21 Correct 28 ms 6388 KB Output is correct
22 Correct 100 ms 24072 KB Output is correct
23 Correct 101 ms 24144 KB Output is correct
24 Correct 120 ms 24148 KB Output is correct
25 Correct 43 ms 14088 KB Output is correct
26 Correct 86 ms 14072 KB Output is correct
27 Correct 103 ms 24052 KB Output is correct
28 Correct 123 ms 24060 KB Output is correct
29 Correct 43 ms 14088 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 352 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 24 ms 5756 KB Output is correct
5 Correct 100 ms 22044 KB Output is correct
6 Correct 103 ms 22044 KB Output is correct
7 Correct 103 ms 22036 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 25 ms 5788 KB Output is correct
10 Correct 105 ms 22044 KB Output is correct
11 Correct 99 ms 22100 KB Output is correct
12 Correct 105 ms 22196 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 30 ms 5916 KB Output is correct
17 Correct 100 ms 22096 KB Output is correct
18 Correct 100 ms 22100 KB Output is correct
19 Correct 96 ms 22096 KB Output is correct
20 Correct 96 ms 22100 KB Output is correct

Subtask #5
21.0 / 21.0

# 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 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 8 ms 1116 KB Output is correct
7 Correct 102 ms 22040 KB Output is correct
8 Correct 0 ms 600 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 4 ms 1116 KB Output is correct
13 Correct 136 ms 22120 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 59 ms 12096 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 47 ms 5780 KB Output is correct
21 Correct 100 ms 22096 KB Output is correct
22 Correct 97 ms 22096 KB Output is correct
23 Correct 103 ms 22100 KB Output is correct
24 Correct 97 ms 22096 KB Output is correct
25 Correct 43 ms 12120 KB Output is correct
26 Correct 54 ms 12116 KB Output is correct
27 Correct 104 ms 22096 KB Output is correct
28 Correct 101 ms 22100 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 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 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 4 ms 1116 KB Output is correct
37 Correct 109 ms 22288 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 6 ms 1108 KB Output is correct
41 Correct 116 ms 22080 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 3 ms 932 KB Output is correct
45 Correct 64 ms 14216 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 604 KB Output is correct
49 Correct 28 ms 6388 KB Output is correct
50 Correct 100 ms 24072 KB Output is correct
51 Correct 101 ms 24144 KB Output is correct
52 Correct 120 ms 24148 KB Output is correct
53 Correct 43 ms 14088 KB Output is correct
54 Correct 86 ms 14072 KB Output is correct
55 Correct 103 ms 24052 KB Output is correct
56 Correct 123 ms 24060 KB Output is correct
57 Correct 43 ms 14088 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 2 ms 860 KB Output is correct
61 Correct 50 ms 14164 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 25 ms 6360 KB Output is correct
66 Correct 44 ms 14252 KB Output is correct
67 Correct 43 ms 14088 KB Output is correct
68 Correct 43 ms 14084 KB Output is correct
69 Correct 44 ms 14216 KB Output is correct

Subtask #6
4.0 / 4.0

# 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 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 8 ms 1116 KB Output is correct
7 Correct 102 ms 22040 KB Output is correct
8 Correct 0 ms 600 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 4 ms 1116 KB Output is correct
13 Correct 136 ms 22120 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 59 ms 12096 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 47 ms 5780 KB Output is correct
21 Correct 100 ms 22096 KB Output is correct
22 Correct 97 ms 22096 KB Output is correct
23 Correct 103 ms 22100 KB Output is correct
24 Correct 97 ms 22096 KB Output is correct
25 Correct 43 ms 12120 KB Output is correct
26 Correct 54 ms 12116 KB Output is correct
27 Correct 104 ms 22096 KB Output is correct
28 Correct 101 ms 22100 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 348 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 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 4 ms 1116 KB Output is correct
37 Correct 109 ms 22288 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 6 ms 1108 KB Output is correct
41 Correct 116 ms 22080 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 3 ms 932 KB Output is correct
45 Correct 64 ms 14216 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 604 KB Output is correct
49 Correct 28 ms 6388 KB Output is correct
50 Correct 100 ms 24072 KB Output is correct
51 Correct 101 ms 24144 KB Output is correct
52 Correct 120 ms 24148 KB Output is correct
53 Correct 43 ms 14088 KB Output is correct
54 Correct 86 ms 14072 KB Output is correct
55 Correct 103 ms 24052 KB Output is correct
56 Correct 123 ms 24060 KB Output is correct
57 Correct 43 ms 14088 KB Output is correct
58 Correct 0 ms 352 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 24 ms 5756 KB Output is correct
62 Correct 100 ms 22044 KB Output is correct
63 Correct 103 ms 22044 KB Output is correct
64 Correct 103 ms 22036 KB Output is correct
65 Correct 0 ms 344 KB Output is correct
66 Correct 25 ms 5788 KB Output is correct
67 Correct 105 ms 22044 KB Output is correct
68 Correct 99 ms 22100 KB Output is correct
69 Correct 105 ms 22196 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 1 ms 348 KB Output is correct
73 Correct 30 ms 5916 KB Output is correct
74 Correct 100 ms 22096 KB Output is correct
75 Correct 100 ms 22100 KB Output is correct
76 Correct 96 ms 22096 KB Output is correct
77 Correct 96 ms 22100 KB Output is correct
78 Correct 0 ms 348 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 2 ms 860 KB Output is correct
81 Correct 50 ms 14164 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 0 ms 348 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 25 ms 6360 KB Output is correct
86 Correct 44 ms 14252 KB Output is correct
87 Correct 43 ms 14088 KB Output is correct
88 Correct 43 ms 14084 KB Output is correct
89 Correct 44 ms 14216 KB Output is correct
90 Correct 1 ms 344 KB Output is correct
91 Correct 0 ms 348 KB Output is correct
92 Correct 4 ms 856 KB Output is correct
93 Correct 45 ms 14164 KB Output is correct
94 Correct 0 ms 348 KB Output is correct
95 Correct 0 ms 348 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Correct 11 ms 3672 KB Output is correct
98 Correct 44 ms 14084 KB Output is correct
99 Correct 44 ms 14164 KB Output is correct
100 Correct 50 ms 14164 KB Output is correct
101 Correct 75 ms 14160 KB Output is correct
102 Correct 42 ms 14160 KB Output is correct
103 Correct 91 ms 14088 KB Output is correct
104 Correct 41 ms 14224 KB Output is correct
105 Correct 57 ms 14164 KB Output is correct