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답안 #434560

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
434560 2021-06-21T12:04:35 Z frodakcin 슈퍼트리 잇기 (IOI20_supertrees) C++17
96 / 100
 284 ms 24100 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 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

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 9 ms 1100 KB Output is correct
7 Correct 243 ms 21996 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 9 ms 1100 KB Output is correct
7 Correct 243 ms 21996 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 10 ms 1168 KB Output is correct
13 Correct 237 ms 21932 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 4 ms 716 KB Output is correct
17 Correct 98 ms 12100 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 64 ms 5744 KB Output is correct
21 Correct 240 ms 23912 KB Output is correct
22 Correct 227 ms 23920 KB Output is correct
23 Correct 232 ms 23920 KB Output is correct
24 Correct 284 ms 23900 KB Output is correct
25 Correct 96 ms 14048 KB Output is correct
26 Correct 91 ms 14056 KB Output is correct
27 Correct 236 ms 23996 KB Output is correct
28 Correct 236 ms 24000 KB Output is correct

Subtask #3
19.0 / 19.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 9 ms 1100 KB Output is correct
9 Correct 221 ms 21956 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 10 ms 1144 KB Output is correct
13 Correct 226 ms 22016 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 6 ms 716 KB Output is correct
17 Correct 106 ms 12152 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 55 ms 5724 KB Output is correct
22 Correct 240 ms 21956 KB Output is correct
23 Correct 219 ms 22008 KB Output is correct
24 Correct 237 ms 22152 KB Output is correct
25 Correct 95 ms 12140 KB Output is correct
26 Correct 94 ms 12144 KB Output is correct
27 Correct 231 ms 22016 KB Output is correct
28 Correct 231 ms 21956 KB Output is correct
29 Correct 92 ms 12100 KB Output is correct

Subtask #4
35.0 / 35.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 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 56 ms 6212 KB Output is correct
5 Correct 222 ms 23912 KB Output is correct
6 Correct 221 ms 23876 KB Output is correct
7 Correct 236 ms 23928 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 61 ms 6160 KB Output is correct
10 Correct 225 ms 23920 KB Output is correct
11 Correct 223 ms 23916 KB Output is correct
12 Correct 243 ms 23880 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 0 ms 276 KB Output is correct
16 Correct 59 ms 6236 KB Output is correct
17 Correct 241 ms 23972 KB Output is correct
18 Correct 229 ms 23904 KB Output is correct
19 Correct 224 ms 23988 KB Output is correct
20 Correct 221 ms 24100 KB Output is correct

Subtask #5
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 9 ms 1100 KB Output is correct
7 Correct 243 ms 21996 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 10 ms 1168 KB Output is correct
13 Correct 237 ms 21932 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 4 ms 716 KB Output is correct
17 Correct 98 ms 12100 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 64 ms 5744 KB Output is correct
21 Correct 240 ms 23912 KB Output is correct
22 Correct 227 ms 23920 KB Output is correct
23 Correct 232 ms 23920 KB Output is correct
24 Correct 284 ms 23900 KB Output is correct
25 Correct 96 ms 14048 KB Output is correct
26 Correct 91 ms 14056 KB Output is correct
27 Correct 236 ms 23996 KB Output is correct
28 Correct 236 ms 24000 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 0 ms 204 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 9 ms 1100 KB Output is correct
37 Correct 221 ms 21956 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 10 ms 1144 KB Output is correct
41 Correct 226 ms 22016 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 0 ms 204 KB Output is correct
44 Correct 6 ms 716 KB Output is correct
45 Correct 106 ms 12152 KB Output is correct
46 Correct 0 ms 204 KB Output is correct
47 Correct 0 ms 204 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 55 ms 5724 KB Output is correct
50 Correct 240 ms 21956 KB Output is correct
51 Correct 219 ms 22008 KB Output is correct
52 Correct 237 ms 22152 KB Output is correct
53 Correct 95 ms 12140 KB Output is correct
54 Correct 94 ms 12144 KB Output is correct
55 Correct 231 ms 22016 KB Output is correct
56 Correct 231 ms 21956 KB Output is correct
57 Correct 92 ms 12100 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 1 ms 204 KB Output is correct
60 Correct 4 ms 800 KB Output is correct
61 Correct 96 ms 14064 KB Output is correct
62 Correct 1 ms 204 KB Output is correct
63 Correct 1 ms 204 KB Output is correct
64 Correct 0 ms 204 KB Output is correct
65 Correct 56 ms 6232 KB Output is correct
66 Correct 97 ms 14044 KB Output is correct
67 Correct 92 ms 14060 KB Output is correct
68 Correct 96 ms 14056 KB Output is correct
69 Correct 94 ms 14152 KB Output is correct

Subtask #6
0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 9 ms 1100 KB Output is correct
7 Correct 243 ms 21996 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 10 ms 1168 KB Output is correct
13 Correct 237 ms 21932 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 4 ms 716 KB Output is correct
17 Correct 98 ms 12100 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 64 ms 5744 KB Output is correct
21 Correct 240 ms 23912 KB Output is correct
22 Correct 227 ms 23920 KB Output is correct
23 Correct 232 ms 23920 KB Output is correct
24 Correct 284 ms 23900 KB Output is correct
25 Correct 96 ms 14048 KB Output is correct
26 Correct 91 ms 14056 KB Output is correct
27 Correct 236 ms 23996 KB Output is correct
28 Correct 236 ms 24000 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 0 ms 204 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 9 ms 1100 KB Output is correct
37 Correct 221 ms 21956 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 10 ms 1144 KB Output is correct
41 Correct 226 ms 22016 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 0 ms 204 KB Output is correct
44 Correct 6 ms 716 KB Output is correct
45 Correct 106 ms 12152 KB Output is correct
46 Correct 0 ms 204 KB Output is correct
47 Correct 0 ms 204 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 55 ms 5724 KB Output is correct
50 Correct 240 ms 21956 KB Output is correct
51 Correct 219 ms 22008 KB Output is correct
52 Correct 237 ms 22152 KB Output is correct
53 Correct 95 ms 12140 KB Output is correct
54 Correct 94 ms 12144 KB Output is correct
55 Correct 231 ms 22016 KB Output is correct
56 Correct 231 ms 21956 KB Output is correct
57 Correct 92 ms 12100 KB Output is correct
58 Correct 0 ms 204 KB Output is correct
59 Correct 0 ms 204 KB Output is correct
60 Correct 1 ms 204 KB Output is correct
61 Correct 56 ms 6212 KB Output is correct
62 Correct 222 ms 23912 KB Output is correct
63 Correct 221 ms 23876 KB Output is correct
64 Correct 236 ms 23928 KB Output is correct
65 Correct 1 ms 204 KB Output is correct
66 Correct 61 ms 6160 KB Output is correct
67 Correct 225 ms 23920 KB Output is correct
68 Correct 223 ms 23916 KB Output is correct
69 Correct 243 ms 23880 KB Output is correct
70 Correct 0 ms 204 KB Output is correct
71 Correct 1 ms 204 KB Output is correct
72 Correct 0 ms 276 KB Output is correct
73 Correct 59 ms 6236 KB Output is correct
74 Correct 241 ms 23972 KB Output is correct
75 Correct 229 ms 23904 KB Output is correct
76 Correct 224 ms 23988 KB Output is correct
77 Correct 221 ms 24100 KB Output is correct
78 Correct 1 ms 204 KB Output is correct
79 Correct 1 ms 204 KB Output is correct
80 Correct 4 ms 800 KB Output is correct
81 Correct 96 ms 14064 KB Output is correct
82 Correct 1 ms 204 KB Output is correct
83 Correct 1 ms 204 KB Output is correct
84 Correct 0 ms 204 KB Output is correct
85 Correct 56 ms 6232 KB Output is correct
86 Correct 97 ms 14044 KB Output is correct
87 Correct 92 ms 14060 KB Output is correct
88 Correct 96 ms 14056 KB Output is correct
89 Correct 94 ms 14152 KB Output is correct
90 Correct 1 ms 204 KB Output is correct
91 Correct 1 ms 204 KB Output is correct
92 Correct 4 ms 800 KB Output is correct
93 Correct 96 ms 14044 KB Output is correct
94 Correct 1 ms 204 KB Output is correct
95 Correct 0 ms 204 KB Output is correct
96 Correct 1 ms 204 KB Output is correct
97 Correct 24 ms 3676 KB Output is correct
98 Correct 98 ms 14060 KB Output is correct
99 Correct 93 ms 14056 KB Output is correct
100 Correct 91 ms 14044 KB Output is correct
101 Correct 101 ms 14200 KB Output is correct
102 Incorrect 245 ms 23916 KB Answer gives possible 1 while actual possible 0
103 Halted 0 ms 0 KB -