#include "supertrees.h"
#include <vector>
#include <iostream>
using namespace std;
void line(vector<int>& v,vector<vector<int>>& ans,vector<int>& id){
for(int i=1;i<v.size();i++){
ans[v[i]][v[i-1]]=1;
id[id[v[i]]]=id[v[0]];
}
}
bool check(int a,int b,vector<vector<int>>& p,vector<bool>& seen){
seen[a]=seen[b]=true;
for(int i=0;i<p.size();i++){
if(p[a][i]!=p[b][i])return false;
}
return true;
}
int build_1(vector<vector<int>>& ans,vector<int>& id,vector<vector<int>>& p){
int n=ans.size();
vector<bool> seen(n,false);
vector<vector<int>> lines(n);
for(int i=0;i<n;i++){
if(seen[i])continue;
lines[i].push_back(i);
for(int j=0;j<n;j++){
if(i==j)continue;
if(p[i][j]==1){
if(!check(i,j,p,seen))return 0;
lines[i].push_back(j);
}
}
}
for(int i=0;i<n;i++)line(lines[i],ans,id);
return 1;
}
int cycle(vector<int>& v,vector<vector<int>>& ans,vector<int>& id){
if(v.size()==2)return 0;
if(v.size()<=1)return 1;
//for(int x:v)cout<<x<<' ';
line(v,ans,id);
ans[v[0]][v[v.size()-1]]=1;
return 1;
}
int build_2(vector<vector<int>>& ans,vector<int>& id,vector<vector<int>>& p){
if(!build_1(ans,id,p))return 0;
int n=ans.size();
for(int i=0;i<n;i++){
for(int j=0;j<n;j++)if(p[i][j]==1)p[i][j]=2;
}
vector<bool> seen(n,false);
vector<vector<int>> cycles(n);
for(int i=0;i<n;i++){
if(seen[i]||id[i]!=i)continue;
cycles[i].push_back(i);
for(int j=0;j<n;j++){
if(i==j)continue;
if(p[i][j]==2&&!seen[j]&&id[j]==j){
if(!check(i,j,p,seen))return 0;
cycles[i].push_back(j);
}
}
}
for(int i=0;i<n;i++)if(!cycle(cycles[i],ans,id))return 0;
return 1;
}
int construct(vector<vector<int>> p){
int n = p.size();
vector<int> id(n);
for(int i=0;i<n;i++){
p[i][i]=0;
id[i]=i;
}
vector<vector<int>> answer(n,vector<int>(n));
int mx=0;
for(int i=0;i<n;i++)for(int j=0;j<n;j++)mx=max(mx,p[i][j]);
for(int i=0;i<n;i++)p[i][i]=1;
if(mx==3)return 0;
if(mx==1){
if(!build_1(answer,id,p))return 0;
}
if(mx==2){
if(!build_2(answer,id,p))return 0;
}
for(int i=0;i<n;i++)for(int j=0;j<n;j++)if(answer[i][j])answer[j][i]=1;
/*for(int i=0;i<n;i++){
for(int j=0;j<n;j++)cout<<answer[i][j]<<' ';
cout<<'\n';
}*/
build(answer);
return 1;
}
/*int main(){
vector<vector<int>> v={{1,1,2,2},{1,1,2,2},{2,2,1,2},{2,2,2,1}};
//vector<vector<int>> w={{1,1},{1,1}};
construct (v);
}*/
Compilation message
supertrees.cpp: In function 'void line(std::vector<int>&, std::vector<std::vector<int> >&, std::vector<int>&)':
supertrees.cpp:6:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
6 | for(int i=1;i<v.size();i++){
| ~^~~~~~~~~
supertrees.cpp: In function 'bool check(int, int, std::vector<std::vector<int> >&, std::vector<bool>&)':
supertrees.cpp:13:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
13 | for(int i=0;i<p.size();i++){
| ~^~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
296 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
304 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
8 ms |
1236 KB |
Output is correct |
7 |
Correct |
180 ms |
23928 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
296 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
304 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
8 ms |
1236 KB |
Output is correct |
7 |
Correct |
180 ms |
23928 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
300 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
8 ms |
1164 KB |
Output is correct |
13 |
Correct |
175 ms |
23924 KB |
Output is correct |
14 |
Correct |
1 ms |
304 KB |
Output is correct |
15 |
Correct |
1 ms |
300 KB |
Output is correct |
16 |
Correct |
3 ms |
852 KB |
Output is correct |
17 |
Correct |
78 ms |
13996 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
45 ms |
6220 KB |
Output is correct |
21 |
Correct |
191 ms |
23920 KB |
Output is correct |
22 |
Correct |
171 ms |
23900 KB |
Output is correct |
23 |
Correct |
182 ms |
23940 KB |
Output is correct |
24 |
Correct |
189 ms |
24012 KB |
Output is correct |
25 |
Correct |
72 ms |
14080 KB |
Output is correct |
26 |
Correct |
72 ms |
14072 KB |
Output is correct |
27 |
Correct |
199 ms |
23956 KB |
Output is correct |
28 |
Correct |
207 ms |
24012 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
300 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
256 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
300 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
8 ms |
1236 KB |
Output is correct |
9 |
Correct |
196 ms |
23924 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
304 KB |
Output is correct |
12 |
Correct |
8 ms |
1252 KB |
Output is correct |
13 |
Correct |
222 ms |
24048 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
5 ms |
828 KB |
Output is correct |
17 |
Correct |
89 ms |
14148 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
296 KB |
Output is correct |
20 |
Correct |
1 ms |
296 KB |
Output is correct |
21 |
Correct |
50 ms |
6264 KB |
Output is correct |
22 |
Correct |
195 ms |
23916 KB |
Output is correct |
23 |
Correct |
218 ms |
23932 KB |
Output is correct |
24 |
Correct |
214 ms |
23972 KB |
Output is correct |
25 |
Correct |
85 ms |
14064 KB |
Output is correct |
26 |
Correct |
77 ms |
14084 KB |
Output is correct |
27 |
Correct |
244 ms |
23924 KB |
Output is correct |
28 |
Correct |
213 ms |
23936 KB |
Output is correct |
29 |
Correct |
109 ms |
14120 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
300 KB |
Output is correct |
2 |
Correct |
1 ms |
304 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
47 ms |
6260 KB |
Output is correct |
5 |
Correct |
186 ms |
23952 KB |
Output is correct |
6 |
Correct |
184 ms |
23988 KB |
Output is correct |
7 |
Correct |
181 ms |
23936 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
49 ms |
6264 KB |
Output is correct |
10 |
Correct |
191 ms |
23896 KB |
Output is correct |
11 |
Correct |
184 ms |
23936 KB |
Output is correct |
12 |
Correct |
185 ms |
24052 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
44 ms |
6264 KB |
Output is correct |
17 |
Correct |
206 ms |
23964 KB |
Output is correct |
18 |
Correct |
176 ms |
23960 KB |
Output is correct |
19 |
Correct |
181 ms |
24048 KB |
Output is correct |
20 |
Correct |
185 ms |
24012 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
296 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
304 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
8 ms |
1236 KB |
Output is correct |
7 |
Correct |
180 ms |
23928 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
300 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
8 ms |
1164 KB |
Output is correct |
13 |
Correct |
175 ms |
23924 KB |
Output is correct |
14 |
Correct |
1 ms |
304 KB |
Output is correct |
15 |
Correct |
1 ms |
300 KB |
Output is correct |
16 |
Correct |
3 ms |
852 KB |
Output is correct |
17 |
Correct |
78 ms |
13996 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
45 ms |
6220 KB |
Output is correct |
21 |
Correct |
191 ms |
23920 KB |
Output is correct |
22 |
Correct |
171 ms |
23900 KB |
Output is correct |
23 |
Correct |
182 ms |
23940 KB |
Output is correct |
24 |
Correct |
189 ms |
24012 KB |
Output is correct |
25 |
Correct |
72 ms |
14080 KB |
Output is correct |
26 |
Correct |
72 ms |
14072 KB |
Output is correct |
27 |
Correct |
199 ms |
23956 KB |
Output is correct |
28 |
Correct |
207 ms |
24012 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
300 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
256 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
300 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
8 ms |
1236 KB |
Output is correct |
37 |
Correct |
196 ms |
23924 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
304 KB |
Output is correct |
40 |
Correct |
8 ms |
1252 KB |
Output is correct |
41 |
Correct |
222 ms |
24048 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
5 ms |
828 KB |
Output is correct |
45 |
Correct |
89 ms |
14148 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
296 KB |
Output is correct |
48 |
Correct |
1 ms |
296 KB |
Output is correct |
49 |
Correct |
50 ms |
6264 KB |
Output is correct |
50 |
Correct |
195 ms |
23916 KB |
Output is correct |
51 |
Correct |
218 ms |
23932 KB |
Output is correct |
52 |
Correct |
214 ms |
23972 KB |
Output is correct |
53 |
Correct |
85 ms |
14064 KB |
Output is correct |
54 |
Correct |
77 ms |
14084 KB |
Output is correct |
55 |
Correct |
244 ms |
23924 KB |
Output is correct |
56 |
Correct |
213 ms |
23936 KB |
Output is correct |
57 |
Correct |
109 ms |
14120 KB |
Output is correct |
58 |
Correct |
0 ms |
300 KB |
Output is correct |
59 |
Correct |
0 ms |
212 KB |
Output is correct |
60 |
Correct |
3 ms |
820 KB |
Output is correct |
61 |
Correct |
71 ms |
14028 KB |
Output is correct |
62 |
Correct |
0 ms |
212 KB |
Output is correct |
63 |
Correct |
1 ms |
212 KB |
Output is correct |
64 |
Correct |
1 ms |
300 KB |
Output is correct |
65 |
Correct |
50 ms |
6172 KB |
Output is correct |
66 |
Correct |
78 ms |
14064 KB |
Output is correct |
67 |
Correct |
70 ms |
14068 KB |
Output is correct |
68 |
Correct |
68 ms |
14064 KB |
Output is correct |
69 |
Correct |
72 ms |
14068 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
296 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
304 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
8 ms |
1236 KB |
Output is correct |
7 |
Correct |
180 ms |
23928 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
300 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
8 ms |
1164 KB |
Output is correct |
13 |
Correct |
175 ms |
23924 KB |
Output is correct |
14 |
Correct |
1 ms |
304 KB |
Output is correct |
15 |
Correct |
1 ms |
300 KB |
Output is correct |
16 |
Correct |
3 ms |
852 KB |
Output is correct |
17 |
Correct |
78 ms |
13996 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
45 ms |
6220 KB |
Output is correct |
21 |
Correct |
191 ms |
23920 KB |
Output is correct |
22 |
Correct |
171 ms |
23900 KB |
Output is correct |
23 |
Correct |
182 ms |
23940 KB |
Output is correct |
24 |
Correct |
189 ms |
24012 KB |
Output is correct |
25 |
Correct |
72 ms |
14080 KB |
Output is correct |
26 |
Correct |
72 ms |
14072 KB |
Output is correct |
27 |
Correct |
199 ms |
23956 KB |
Output is correct |
28 |
Correct |
207 ms |
24012 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
300 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
256 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
300 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
8 ms |
1236 KB |
Output is correct |
37 |
Correct |
196 ms |
23924 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
304 KB |
Output is correct |
40 |
Correct |
8 ms |
1252 KB |
Output is correct |
41 |
Correct |
222 ms |
24048 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
5 ms |
828 KB |
Output is correct |
45 |
Correct |
89 ms |
14148 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
296 KB |
Output is correct |
48 |
Correct |
1 ms |
296 KB |
Output is correct |
49 |
Correct |
50 ms |
6264 KB |
Output is correct |
50 |
Correct |
195 ms |
23916 KB |
Output is correct |
51 |
Correct |
218 ms |
23932 KB |
Output is correct |
52 |
Correct |
214 ms |
23972 KB |
Output is correct |
53 |
Correct |
85 ms |
14064 KB |
Output is correct |
54 |
Correct |
77 ms |
14084 KB |
Output is correct |
55 |
Correct |
244 ms |
23924 KB |
Output is correct |
56 |
Correct |
213 ms |
23936 KB |
Output is correct |
57 |
Correct |
109 ms |
14120 KB |
Output is correct |
58 |
Correct |
1 ms |
300 KB |
Output is correct |
59 |
Correct |
1 ms |
304 KB |
Output is correct |
60 |
Correct |
1 ms |
212 KB |
Output is correct |
61 |
Correct |
47 ms |
6260 KB |
Output is correct |
62 |
Correct |
186 ms |
23952 KB |
Output is correct |
63 |
Correct |
184 ms |
23988 KB |
Output is correct |
64 |
Correct |
181 ms |
23936 KB |
Output is correct |
65 |
Correct |
0 ms |
212 KB |
Output is correct |
66 |
Correct |
49 ms |
6264 KB |
Output is correct |
67 |
Correct |
191 ms |
23896 KB |
Output is correct |
68 |
Correct |
184 ms |
23936 KB |
Output is correct |
69 |
Correct |
185 ms |
24052 KB |
Output is correct |
70 |
Correct |
0 ms |
212 KB |
Output is correct |
71 |
Correct |
1 ms |
212 KB |
Output is correct |
72 |
Correct |
1 ms |
212 KB |
Output is correct |
73 |
Correct |
44 ms |
6264 KB |
Output is correct |
74 |
Correct |
206 ms |
23964 KB |
Output is correct |
75 |
Correct |
176 ms |
23960 KB |
Output is correct |
76 |
Correct |
181 ms |
24048 KB |
Output is correct |
77 |
Correct |
185 ms |
24012 KB |
Output is correct |
78 |
Correct |
0 ms |
300 KB |
Output is correct |
79 |
Correct |
0 ms |
212 KB |
Output is correct |
80 |
Correct |
3 ms |
820 KB |
Output is correct |
81 |
Correct |
71 ms |
14028 KB |
Output is correct |
82 |
Correct |
0 ms |
212 KB |
Output is correct |
83 |
Correct |
1 ms |
212 KB |
Output is correct |
84 |
Correct |
1 ms |
300 KB |
Output is correct |
85 |
Correct |
50 ms |
6172 KB |
Output is correct |
86 |
Correct |
78 ms |
14064 KB |
Output is correct |
87 |
Correct |
70 ms |
14068 KB |
Output is correct |
88 |
Correct |
68 ms |
14064 KB |
Output is correct |
89 |
Correct |
72 ms |
14068 KB |
Output is correct |
90 |
Correct |
1 ms |
212 KB |
Output is correct |
91 |
Correct |
1 ms |
212 KB |
Output is correct |
92 |
Correct |
4 ms |
824 KB |
Output is correct |
93 |
Correct |
81 ms |
13976 KB |
Output is correct |
94 |
Correct |
1 ms |
212 KB |
Output is correct |
95 |
Correct |
1 ms |
212 KB |
Output is correct |
96 |
Correct |
1 ms |
212 KB |
Output is correct |
97 |
Correct |
17 ms |
3772 KB |
Output is correct |
98 |
Correct |
99 ms |
14064 KB |
Output is correct |
99 |
Correct |
71 ms |
14064 KB |
Output is correct |
100 |
Correct |
68 ms |
14080 KB |
Output is correct |
101 |
Correct |
72 ms |
13996 KB |
Output is correct |
102 |
Correct |
69 ms |
14080 KB |
Output is correct |
103 |
Correct |
84 ms |
13996 KB |
Output is correct |
104 |
Correct |
66 ms |
14080 KB |
Output is correct |
105 |
Correct |
72 ms |
14072 KB |
Output is correct |