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Submission #434609

# Submission time Handle Problem Language Result Execution time Memory
434609 2021-06-21T13:02:33 Z frodakcin Connecting Supertrees (IOI20_supertrees) C++17
96 / 100
 306 ms 22284 KB 
#include "supertrees.h"
#include <algorithm>
#include <vector>

struct DSU
{
	public:
		std::vector<int> p, r;
		DSU(int N): p(N, -1), r(N, 0) {}
		int find(int n) {return p[n] == -1 ? n : p[n] = find(p[n]);}
		bool merge(int u, int v)
		{
			u=find(u), v=find(v);
			if(u==v) return 0;
			if(r[u] < r[v]) std::swap(u, v);
			p[v]=u, r[u]+=r[u]==r[v], r[v]=-1;
			return 1;
		}
};

int construct(std::vector<std::vector<int>> p)
{
	int N = p.size();
	std::vector<std::vector<int>> answer(N, std::vector<int>(N, 0));

	DSU dsu1(N);
	for (int i = 0; i < N; i++)
		for(int j=i+1;j<N;++j)
			if(p[i][j]==1)
			{
				if(dsu1.merge(i, j))
				{
					if(p[i] != p[j]) // must have identical adj lists
						return 0;
					answer[i][j]=1; // this makes a tree among all 1-con components
					answer[j][i]=1;
				}
			}
	std::vector<int> head;
	for(int i=0;i<N;++i) if(dsu1.p[i]==-1) head.push_back(i);

	for(int i=0;i<N;++i)
	{
		bool s2=0, s3=0;
		for(int x:p[i])
			if(x==2) s2=1;
			else if(x==3) s3=1;
		if(s2 && s3) return 0;
	}

	for(int sz: {2,3}) // handle 2/3 case
	{
		std::vector<std::vector<int>> group(N, std::vector<int>());
		DSU dsu2(N);
		for(int i=0;i<(int)head.size();++i)
			for(int j=i+1;j<(int)head.size();++j)
				if(p[head[i]][head[j]]==sz)
					dsu2.merge(head[i], head[j]);
		for(int i=0;i<N;++i)
			group[dsu2.find(i)].push_back(i);
		for(int i=0;i<N;++i)
			if(group[i].size() >= 2)
			{
				if(group[i].size() <= 2) return 0;
				if(sz == 3 && group[i].size() <= 4) return 0;
				for(int j=0;j<(int)group[i].size();++j) // create a simple cycle
				{
					int u=group[i][j], v=group[i][(j+1)%group[i].size()];
					answer[u][v]=answer[v][u]=1;
				}
				if(sz == 3)
					answer[group[i][0]][group[i][2]]=answer[group[i][2]][group[i][0]]=1;

				//identicality test
				for(int j=0;j<(int)group[i].size();++j)
					for(int k=j+1;k<(int)group[i].size();++k)
						if(p[group[i][j]][group[i][k]] != sz)
							return 0;
			}
	}

	build(answer);
	return 1;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 284 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 10 ms 1100 KB Output is correct
7 Correct 238 ms 21992 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 284 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 10 ms 1100 KB Output is correct
7 Correct 238 ms 21992 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 10 ms 1236 KB Output is correct
13 Correct 240 ms 22112 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 716 KB Output is correct
17 Correct 133 ms 12168 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 61 ms 5828 KB Output is correct
21 Correct 248 ms 22140 KB Output is correct
22 Correct 244 ms 22116 KB Output is correct
23 Correct 276 ms 22140 KB Output is correct
24 Correct 248 ms 22196 KB Output is correct
25 Correct 106 ms 12172 KB Output is correct
26 Correct 107 ms 12156 KB Output is correct
27 Correct 261 ms 22100 KB Output is correct
28 Correct 245 ms 22132 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 276 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 12 ms 1204 KB Output is correct
9 Correct 252 ms 22124 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 10 ms 1188 KB Output is correct
13 Correct 246 ms 22108 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 7 ms 712 KB Output is correct
17 Correct 123 ms 12428 KB Output is correct
18 Correct 0 ms 276 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 60 ms 5884 KB Output is correct
22 Correct 241 ms 22156 KB Output is correct
23 Correct 238 ms 22216 KB Output is correct
24 Correct 252 ms 22160 KB Output is correct
25 Correct 106 ms 12288 KB Output is correct
26 Correct 114 ms 12304 KB Output is correct
27 Correct 246 ms 22188 KB Output is correct
28 Correct 255 ms 22084 KB Output is correct
29 Correct 117 ms 12304 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 59 ms 5824 KB Output is correct
5 Correct 242 ms 22084 KB Output is correct
6 Correct 234 ms 22152 KB Output is correct
7 Correct 250 ms 22120 KB Output is correct
8 Correct 0 ms 280 KB Output is correct
9 Correct 60 ms 5884 KB Output is correct
10 Correct 289 ms 22160 KB Output is correct
11 Correct 243 ms 22284 KB Output is correct
12 Correct 263 ms 22068 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 75 ms 5892 KB Output is correct
17 Correct 271 ms 22188 KB Output is correct
18 Correct 239 ms 22160 KB Output is correct
19 Correct 242 ms 22120 KB Output is correct
20 Correct 306 ms 22084 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 284 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 10 ms 1100 KB Output is correct
7 Correct 238 ms 21992 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 10 ms 1236 KB Output is correct
13 Correct 240 ms 22112 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 716 KB Output is correct
17 Correct 133 ms 12168 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 61 ms 5828 KB Output is correct
21 Correct 248 ms 22140 KB Output is correct
22 Correct 244 ms 22116 KB Output is correct
23 Correct 276 ms 22140 KB Output is correct
24 Correct 248 ms 22196 KB Output is correct
25 Correct 106 ms 12172 KB Output is correct
26 Correct 107 ms 12156 KB Output is correct
27 Correct 261 ms 22100 KB Output is correct
28 Correct 245 ms 22132 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 276 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 12 ms 1204 KB Output is correct
37 Correct 252 ms 22124 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 10 ms 1188 KB Output is correct
41 Correct 246 ms 22108 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 7 ms 712 KB Output is correct
45 Correct 123 ms 12428 KB Output is correct
46 Correct 0 ms 276 KB Output is correct
47 Correct 0 ms 204 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 60 ms 5884 KB Output is correct
50 Correct 241 ms 22156 KB Output is correct
51 Correct 238 ms 22216 KB Output is correct
52 Correct 252 ms 22160 KB Output is correct
53 Correct 106 ms 12288 KB Output is correct
54 Correct 114 ms 12304 KB Output is correct
55 Correct 246 ms 22188 KB Output is correct
56 Correct 255 ms 22084 KB Output is correct
57 Correct 117 ms 12304 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 0 ms 204 KB Output is correct
60 Correct 5 ms 716 KB Output is correct
61 Correct 110 ms 12160 KB Output is correct
62 Correct 1 ms 204 KB Output is correct
63 Correct 1 ms 204 KB Output is correct
64 Correct 1 ms 204 KB Output is correct
65 Correct 70 ms 5816 KB Output is correct
66 Correct 104 ms 12160 KB Output is correct
67 Correct 111 ms 12156 KB Output is correct
68 Correct 121 ms 12172 KB Output is correct
69 Correct 137 ms 12228 KB Output is correct

Subtask #6
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 284 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 10 ms 1100 KB Output is correct
7 Correct 238 ms 21992 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 10 ms 1236 KB Output is correct
13 Correct 240 ms 22112 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 716 KB Output is correct
17 Correct 133 ms 12168 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 61 ms 5828 KB Output is correct
21 Correct 248 ms 22140 KB Output is correct
22 Correct 244 ms 22116 KB Output is correct
23 Correct 276 ms 22140 KB Output is correct
24 Correct 248 ms 22196 KB Output is correct
25 Correct 106 ms 12172 KB Output is correct
26 Correct 107 ms 12156 KB Output is correct
27 Correct 261 ms 22100 KB Output is correct
28 Correct 245 ms 22132 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 276 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 12 ms 1204 KB Output is correct
37 Correct 252 ms 22124 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 10 ms 1188 KB Output is correct
41 Correct 246 ms 22108 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 7 ms 712 KB Output is correct
45 Correct 123 ms 12428 KB Output is correct
46 Correct 0 ms 276 KB Output is correct
47 Correct 0 ms 204 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 60 ms 5884 KB Output is correct
50 Correct 241 ms 22156 KB Output is correct
51 Correct 238 ms 22216 KB Output is correct
52 Correct 252 ms 22160 KB Output is correct
53 Correct 106 ms 12288 KB Output is correct
54 Correct 114 ms 12304 KB Output is correct
55 Correct 246 ms 22188 KB Output is correct
56 Correct 255 ms 22084 KB Output is correct
57 Correct 117 ms 12304 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 1 ms 204 KB Output is correct
60 Correct 1 ms 204 KB Output is correct
61 Correct 59 ms 5824 KB Output is correct
62 Correct 242 ms 22084 KB Output is correct
63 Correct 234 ms 22152 KB Output is correct
64 Correct 250 ms 22120 KB Output is correct
65 Correct 0 ms 280 KB Output is correct
66 Correct 60 ms 5884 KB Output is correct
67 Correct 289 ms 22160 KB Output is correct
68 Correct 243 ms 22284 KB Output is correct
69 Correct 263 ms 22068 KB Output is correct
70 Correct 1 ms 204 KB Output is correct
71 Correct 1 ms 204 KB Output is correct
72 Correct 1 ms 204 KB Output is correct
73 Correct 75 ms 5892 KB Output is correct
74 Correct 271 ms 22188 KB Output is correct
75 Correct 239 ms 22160 KB Output is correct
76 Correct 242 ms 22120 KB Output is correct
77 Correct 306 ms 22084 KB Output is correct
78 Correct 1 ms 204 KB Output is correct
79 Correct 0 ms 204 KB Output is correct
80 Correct 5 ms 716 KB Output is correct
81 Correct 110 ms 12160 KB Output is correct
82 Correct 1 ms 204 KB Output is correct
83 Correct 1 ms 204 KB Output is correct
84 Correct 1 ms 204 KB Output is correct
85 Correct 70 ms 5816 KB Output is correct
86 Correct 104 ms 12160 KB Output is correct
87 Correct 111 ms 12156 KB Output is correct
88 Correct 121 ms 12172 KB Output is correct
89 Correct 137 ms 12228 KB Output is correct
90 Correct 0 ms 204 KB Output is correct
91 Correct 1 ms 204 KB Output is correct
92 Correct 5 ms 716 KB Output is correct
93 Correct 109 ms 12172 KB Output is correct
94 Correct 1 ms 204 KB Output is correct
95 Correct 1 ms 204 KB Output is correct
96 Correct 0 ms 204 KB Output is correct
97 Correct 26 ms 3336 KB Output is correct
98 Correct 122 ms 12160 KB Output is correct
99 Correct 106 ms 12160 KB Output is correct
100 Correct 106 ms 12168 KB Output is correct
101 Correct 109 ms 12228 KB Output is correct
102 Incorrect 243 ms 22068 KB Answer gives possible 1 while actual possible 0
103 Halted 0 ms 0 KB -