#include <bits/stdc++.h>
using namespace std;
const int N=50000+7;
const int T=10;
int n;
int k;
vector<int> g[N];
bool active[N];
int deg[N];
set<pair<int,int>> _set_;
int sol;
int id[N];
int bits[1<<T];
int mask[1<<T];
int some_bit[1<<T];
bool is_edge(int x,int y)
{
if (active[x]==0||active[y]==0)
return 0;
if ((int)g[x].size()>(int)g[y].size())
swap(x,y);
int l=0,r=(int)g[x].size()-1;
while (l<=r)
{
int m=(l+r)/2;
if (g[x][m]==y)
return 1;
if (g[x][m]<y)
l=m+1;
else
r=m-1;
}
return 0;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
for (int i=1;i<(1<<T);i++)
{
bits[i]=bits[i/2]+i%2;
if (i&1)
some_bit[i]=1;
else
some_bit[i]=2*some_bit[i/2];
}
/** read the input **/
cin>>n>>k;
for (int i=0;i<n;i++)
{
int len;
cin>>len;
g[i].resize(len);
for (int j=0;j<len;j++)
cin>>g[i][j];
sort(g[i].begin(),g[i].end());
deg[i]=len;
active[i]=1;
_set_.insert({len,i});
}
for (int i=0;i<n;i++)
id[i]=-1;
/** maximum clique algorithm **/
while (!_set_.empty())
{
int node=_set_.begin()->second;
_set_.erase({deg[node],node});
if (active[node]==0)
continue;
for (auto &j:g[node])
{
if (active[j])
{
_set_.erase({deg[j],j});
deg[j]--;
_set_.insert({deg[j],j});
}
}
active[node]=0;
vector<int> real_g;
for (auto &x : g[node])
if (active[x])
real_g.push_back(x);
int t=(int) real_g.size();
mask[0]=(1<<t);
for (int i=1;i<(1<<t);i++)
mask[i]=0;
for (int i=0;i<t;i++)
mask[1<<i]+=1<<i;
for (int i=0;i<(int)real_g.size();i++)
for (int j=0;j<i;j++)
if (is_edge(real_g[i],real_g[j]))
mask[1<<i]+=1<<j,
mask[1<<j]+=1<<i;
for (int i=1;i<(1<<t);i++)
{
if (mask[i]==0)
{
int j=some_bit[i];
mask[i]=mask[j]&mask[i^j];
}
if ((mask[i]&i)==i)
sol=max(sol,bits[i]);
}
}
sol++;
cout<<sol<<"\n";
}
/**
war plan :
(.) get the node with minimum degree using a priority_queue
(.)
(.)
(.)
(.)
(.)
(.)
(.)
(.)
(.)
**/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1536 KB |
Output is correct |
2 |
Correct |
1 ms |
1536 KB |
Output is correct |
3 |
Correct |
6 ms |
1920 KB |
Output is correct |
4 |
Correct |
5 ms |
2048 KB |
Output is correct |
5 |
Correct |
8 ms |
2048 KB |
Output is correct |
6 |
Correct |
6 ms |
2048 KB |
Output is correct |
7 |
Correct |
6 ms |
1920 KB |
Output is correct |
8 |
Correct |
4 ms |
1792 KB |
Output is correct |
9 |
Correct |
1 ms |
1536 KB |
Output is correct |
10 |
Correct |
4 ms |
1792 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1536 KB |
Output is correct |
2 |
Correct |
1 ms |
1536 KB |
Output is correct |
3 |
Correct |
6 ms |
1920 KB |
Output is correct |
4 |
Correct |
5 ms |
2048 KB |
Output is correct |
5 |
Correct |
8 ms |
2048 KB |
Output is correct |
6 |
Correct |
6 ms |
2048 KB |
Output is correct |
7 |
Correct |
6 ms |
1920 KB |
Output is correct |
8 |
Correct |
4 ms |
1792 KB |
Output is correct |
9 |
Correct |
1 ms |
1536 KB |
Output is correct |
10 |
Correct |
4 ms |
1792 KB |
Output is correct |
11 |
Correct |
8 ms |
1920 KB |
Output is correct |
12 |
Correct |
6 ms |
1920 KB |
Output is correct |
13 |
Correct |
1 ms |
1536 KB |
Output is correct |
14 |
Correct |
7 ms |
2048 KB |
Output is correct |
15 |
Correct |
1 ms |
1536 KB |
Output is correct |
16 |
Correct |
6 ms |
1920 KB |
Output is correct |
17 |
Correct |
1 ms |
1536 KB |
Output is correct |
18 |
Correct |
7 ms |
1920 KB |
Output is correct |
19 |
Correct |
3 ms |
1792 KB |
Output is correct |
20 |
Correct |
4 ms |
1920 KB |
Output is correct |
21 |
Correct |
4 ms |
1920 KB |
Output is correct |
22 |
Correct |
4 ms |
1792 KB |
Output is correct |
23 |
Correct |
7 ms |
1920 KB |
Output is correct |
24 |
Correct |
3 ms |
1792 KB |
Output is correct |
25 |
Correct |
7 ms |
1920 KB |
Output is correct |
26 |
Correct |
8 ms |
1920 KB |
Output is correct |
27 |
Correct |
6 ms |
1920 KB |
Output is correct |
28 |
Correct |
7 ms |
1920 KB |
Output is correct |
29 |
Correct |
6 ms |
1920 KB |
Output is correct |
30 |
Correct |
7 ms |
1920 KB |
Output is correct |
31 |
Correct |
7 ms |
1920 KB |
Output is correct |
32 |
Correct |
7 ms |
1920 KB |
Output is correct |
33 |
Correct |
7 ms |
1920 KB |
Output is correct |
34 |
Correct |
7 ms |
2048 KB |
Output is correct |
35 |
Correct |
4 ms |
1792 KB |
Output is correct |
36 |
Correct |
4 ms |
1792 KB |
Output is correct |
37 |
Correct |
4 ms |
1792 KB |
Output is correct |
38 |
Correct |
3 ms |
1664 KB |
Output is correct |
39 |
Correct |
3 ms |
1664 KB |
Output is correct |
40 |
Correct |
10 ms |
1920 KB |
Output is correct |
41 |
Correct |
3 ms |
1664 KB |
Output is correct |
42 |
Correct |
10 ms |
2048 KB |
Output is correct |
43 |
Correct |
10 ms |
1920 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1792 KB |
Output is correct |
2 |
Correct |
1 ms |
1536 KB |
Output is correct |
3 |
Correct |
1 ms |
1536 KB |
Output is correct |
4 |
Correct |
1 ms |
1536 KB |
Output is correct |
5 |
Correct |
1 ms |
1536 KB |
Output is correct |
6 |
Correct |
1 ms |
1536 KB |
Output is correct |
7 |
Correct |
1 ms |
1536 KB |
Output is correct |
8 |
Correct |
2 ms |
1536 KB |
Output is correct |
9 |
Correct |
1 ms |
1536 KB |
Output is correct |
10 |
Correct |
1 ms |
1536 KB |
Output is correct |
11 |
Correct |
274 ms |
6776 KB |
Output is correct |
12 |
Correct |
1 ms |
1536 KB |
Output is correct |
13 |
Correct |
303 ms |
6648 KB |
Output is correct |
14 |
Correct |
2 ms |
1536 KB |
Output is correct |
15 |
Correct |
284 ms |
6648 KB |
Output is correct |
16 |
Correct |
284 ms |
6712 KB |
Output is correct |
17 |
Correct |
285 ms |
6648 KB |
Output is correct |
18 |
Correct |
283 ms |
6776 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1536 KB |
Output is correct |
2 |
Correct |
1 ms |
1536 KB |
Output is correct |
3 |
Correct |
6 ms |
1920 KB |
Output is correct |
4 |
Correct |
5 ms |
2048 KB |
Output is correct |
5 |
Correct |
8 ms |
2048 KB |
Output is correct |
6 |
Correct |
6 ms |
2048 KB |
Output is correct |
7 |
Correct |
6 ms |
1920 KB |
Output is correct |
8 |
Correct |
4 ms |
1792 KB |
Output is correct |
9 |
Correct |
1 ms |
1536 KB |
Output is correct |
10 |
Correct |
4 ms |
1792 KB |
Output is correct |
11 |
Correct |
8 ms |
1920 KB |
Output is correct |
12 |
Correct |
6 ms |
1920 KB |
Output is correct |
13 |
Correct |
1 ms |
1536 KB |
Output is correct |
14 |
Correct |
7 ms |
2048 KB |
Output is correct |
15 |
Correct |
1 ms |
1536 KB |
Output is correct |
16 |
Correct |
6 ms |
1920 KB |
Output is correct |
17 |
Correct |
1 ms |
1536 KB |
Output is correct |
18 |
Correct |
7 ms |
1920 KB |
Output is correct |
19 |
Correct |
3 ms |
1792 KB |
Output is correct |
20 |
Correct |
4 ms |
1920 KB |
Output is correct |
21 |
Correct |
4 ms |
1920 KB |
Output is correct |
22 |
Correct |
4 ms |
1792 KB |
Output is correct |
23 |
Correct |
7 ms |
1920 KB |
Output is correct |
24 |
Correct |
3 ms |
1792 KB |
Output is correct |
25 |
Correct |
7 ms |
1920 KB |
Output is correct |
26 |
Correct |
8 ms |
1920 KB |
Output is correct |
27 |
Correct |
6 ms |
1920 KB |
Output is correct |
28 |
Correct |
7 ms |
1920 KB |
Output is correct |
29 |
Correct |
6 ms |
1920 KB |
Output is correct |
30 |
Correct |
7 ms |
1920 KB |
Output is correct |
31 |
Correct |
7 ms |
1920 KB |
Output is correct |
32 |
Correct |
7 ms |
1920 KB |
Output is correct |
33 |
Correct |
7 ms |
1920 KB |
Output is correct |
34 |
Correct |
7 ms |
2048 KB |
Output is correct |
35 |
Correct |
4 ms |
1792 KB |
Output is correct |
36 |
Correct |
4 ms |
1792 KB |
Output is correct |
37 |
Correct |
4 ms |
1792 KB |
Output is correct |
38 |
Correct |
3 ms |
1664 KB |
Output is correct |
39 |
Correct |
3 ms |
1664 KB |
Output is correct |
40 |
Correct |
10 ms |
1920 KB |
Output is correct |
41 |
Correct |
3 ms |
1664 KB |
Output is correct |
42 |
Correct |
10 ms |
2048 KB |
Output is correct |
43 |
Correct |
10 ms |
1920 KB |
Output is correct |
44 |
Correct |
13 ms |
2048 KB |
Output is correct |
45 |
Correct |
1 ms |
1536 KB |
Output is correct |
46 |
Correct |
10 ms |
1920 KB |
Output is correct |
47 |
Correct |
20 ms |
2048 KB |
Output is correct |
48 |
Correct |
11 ms |
1920 KB |
Output is correct |
49 |
Correct |
18 ms |
2048 KB |
Output is correct |
50 |
Correct |
18 ms |
2168 KB |
Output is correct |
51 |
Correct |
38 ms |
2304 KB |
Output is correct |
52 |
Correct |
6 ms |
2048 KB |
Output is correct |
53 |
Correct |
34 ms |
2176 KB |
Output is correct |
54 |
Correct |
46 ms |
2176 KB |
Output is correct |
55 |
Correct |
6 ms |
1920 KB |
Output is correct |
56 |
Correct |
6 ms |
1920 KB |
Output is correct |
57 |
Correct |
3 ms |
1792 KB |
Output is correct |
58 |
Correct |
34 ms |
2176 KB |
Output is correct |
59 |
Correct |
8 ms |
1920 KB |
Output is correct |
60 |
Correct |
6 ms |
1920 KB |
Output is correct |
61 |
Correct |
8 ms |
1920 KB |
Output is correct |
62 |
Correct |
8 ms |
1920 KB |
Output is correct |
63 |
Correct |
13 ms |
2048 KB |
Output is correct |
64 |
Correct |
12 ms |
2048 KB |
Output is correct |
65 |
Correct |
9 ms |
1920 KB |
Output is correct |
66 |
Correct |
8 ms |
1920 KB |
Output is correct |
67 |
Correct |
23 ms |
2048 KB |
Output is correct |
68 |
Correct |
12 ms |
2048 KB |
Output is correct |
69 |
Correct |
9 ms |
1920 KB |
Output is correct |
70 |
Correct |
16 ms |
2048 KB |
Output is correct |
71 |
Correct |
21 ms |
2048 KB |
Output is correct |
72 |
Correct |
20 ms |
2048 KB |
Output is correct |
73 |
Correct |
6 ms |
1920 KB |
Output is correct |
74 |
Correct |
17 ms |
2048 KB |
Output is correct |
75 |
Correct |
21 ms |
2048 KB |
Output is correct |
76 |
Correct |
12 ms |
1920 KB |
Output is correct |
77 |
Correct |
26 ms |
2048 KB |
Output is correct |
78 |
Correct |
6 ms |
1920 KB |
Output is correct |
79 |
Correct |
13 ms |
1792 KB |
Output is correct |
80 |
Correct |
11 ms |
2048 KB |
Output is correct |
81 |
Correct |
26 ms |
2048 KB |
Output is correct |
82 |
Correct |
3 ms |
1664 KB |
Output is correct |
83 |
Correct |
13 ms |
1792 KB |
Output is correct |
84 |
Correct |
20 ms |
2176 KB |
Output is correct |
85 |
Correct |
3 ms |
1664 KB |
Output is correct |
86 |
Correct |
19 ms |
2048 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1536 KB |
Output is correct |
2 |
Correct |
1 ms |
1536 KB |
Output is correct |
3 |
Correct |
6 ms |
1920 KB |
Output is correct |
4 |
Correct |
5 ms |
2048 KB |
Output is correct |
5 |
Correct |
8 ms |
2048 KB |
Output is correct |
6 |
Correct |
6 ms |
2048 KB |
Output is correct |
7 |
Correct |
6 ms |
1920 KB |
Output is correct |
8 |
Correct |
4 ms |
1792 KB |
Output is correct |
9 |
Correct |
1 ms |
1536 KB |
Output is correct |
10 |
Correct |
4 ms |
1792 KB |
Output is correct |
11 |
Correct |
8 ms |
1920 KB |
Output is correct |
12 |
Correct |
6 ms |
1920 KB |
Output is correct |
13 |
Correct |
1 ms |
1536 KB |
Output is correct |
14 |
Correct |
7 ms |
2048 KB |
Output is correct |
15 |
Correct |
1 ms |
1536 KB |
Output is correct |
16 |
Correct |
6 ms |
1920 KB |
Output is correct |
17 |
Correct |
1 ms |
1536 KB |
Output is correct |
18 |
Correct |
7 ms |
1920 KB |
Output is correct |
19 |
Correct |
3 ms |
1792 KB |
Output is correct |
20 |
Correct |
4 ms |
1920 KB |
Output is correct |
21 |
Correct |
4 ms |
1920 KB |
Output is correct |
22 |
Correct |
4 ms |
1792 KB |
Output is correct |
23 |
Correct |
7 ms |
1920 KB |
Output is correct |
24 |
Correct |
3 ms |
1792 KB |
Output is correct |
25 |
Correct |
7 ms |
1920 KB |
Output is correct |
26 |
Correct |
8 ms |
1920 KB |
Output is correct |
27 |
Correct |
6 ms |
1920 KB |
Output is correct |
28 |
Correct |
7 ms |
1920 KB |
Output is correct |
29 |
Correct |
6 ms |
1920 KB |
Output is correct |
30 |
Correct |
7 ms |
1920 KB |
Output is correct |
31 |
Correct |
7 ms |
1920 KB |
Output is correct |
32 |
Correct |
7 ms |
1920 KB |
Output is correct |
33 |
Correct |
7 ms |
1920 KB |
Output is correct |
34 |
Correct |
7 ms |
2048 KB |
Output is correct |
35 |
Correct |
4 ms |
1792 KB |
Output is correct |
36 |
Correct |
4 ms |
1792 KB |
Output is correct |
37 |
Correct |
4 ms |
1792 KB |
Output is correct |
38 |
Correct |
3 ms |
1664 KB |
Output is correct |
39 |
Correct |
3 ms |
1664 KB |
Output is correct |
40 |
Correct |
10 ms |
1920 KB |
Output is correct |
41 |
Correct |
3 ms |
1664 KB |
Output is correct |
42 |
Correct |
10 ms |
2048 KB |
Output is correct |
43 |
Correct |
10 ms |
1920 KB |
Output is correct |
44 |
Correct |
1 ms |
1664 KB |
Output is correct |
45 |
Correct |
177 ms |
6288 KB |
Output is correct |
46 |
Correct |
80 ms |
6008 KB |
Output is correct |
47 |
Correct |
190 ms |
6264 KB |
Output is correct |
48 |
Correct |
181 ms |
6264 KB |
Output is correct |
49 |
Correct |
55 ms |
6144 KB |
Output is correct |
50 |
Correct |
161 ms |
9080 KB |
Output is correct |
51 |
Correct |
183 ms |
8104 KB |
Output is correct |
52 |
Correct |
55 ms |
6780 KB |
Output is correct |
53 |
Correct |
56 ms |
6784 KB |
Output is correct |
54 |
Correct |
20 ms |
4352 KB |
Output is correct |
55 |
Correct |
161 ms |
9208 KB |
Output is correct |
56 |
Correct |
41 ms |
6272 KB |
Output is correct |
57 |
Correct |
55 ms |
6800 KB |
Output is correct |
58 |
Correct |
77 ms |
6952 KB |
Output is correct |
59 |
Correct |
42 ms |
6264 KB |
Output is correct |
60 |
Correct |
48 ms |
6392 KB |
Output is correct |
61 |
Correct |
69 ms |
6776 KB |
Output is correct |
62 |
Correct |
57 ms |
6520 KB |
Output is correct |
63 |
Correct |
139 ms |
7168 KB |
Output is correct |
64 |
Correct |
41 ms |
6272 KB |
Output is correct |
65 |
Correct |
136 ms |
7544 KB |
Output is correct |
66 |
Correct |
58 ms |
6520 KB |
Output is correct |
67 |
Correct |
110 ms |
7032 KB |
Output is correct |
68 |
Correct |
132 ms |
7288 KB |
Output is correct |
69 |
Correct |
137 ms |
7416 KB |
Output is correct |
70 |
Correct |
61 ms |
6520 KB |
Output is correct |
71 |
Correct |
139 ms |
7416 KB |
Output is correct |
72 |
Correct |
88 ms |
7032 KB |
Output is correct |
73 |
Correct |
151 ms |
7548 KB |
Output is correct |
74 |
Correct |
61 ms |
6520 KB |
Output is correct |
75 |
Correct |
51 ms |
4300 KB |
Output is correct |
76 |
Correct |
91 ms |
7160 KB |
Output is correct |
77 |
Correct |
163 ms |
7544 KB |
Output is correct |
78 |
Correct |
65 ms |
4472 KB |
Output is correct |
79 |
Correct |
50 ms |
4352 KB |
Output is correct |
80 |
Correct |
24 ms |
2944 KB |
Output is correct |
81 |
Correct |
66 ms |
4600 KB |
Output is correct |
82 |
Correct |
122 ms |
7168 KB |
Output is correct |
83 |
Correct |
23 ms |
2944 KB |
Output is correct |
84 |
Correct |
114 ms |
7168 KB |
Output is correct |