#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
const int N=1e6;
const int M=20;
const int INF=1e9+7;
vector<pair<int,int>> e[N+10];
int dep[N+10];
int jmp[N+10][M+2];
int keys[N+10];
int doors[M+10];
int dp[(1<<M)+10][M+2];
int dk[M+2][M+2];
int wh_k[M+2];
int wh_d[M+2];
void find_doors(int x,int p,int msk,int t)
{
if(x==t)
doors[M]=msk;
dep[x]=dep[p]+1;
jmp[x][0]=p;
for(int i=1;jmp[x][i-1]!=-0;i++)
jmp[x][i]=jmp[jmp[x][i-1]][i-1];
for(int i=0;i<M;i++)
{
if(keys[x]&(1<<i))
doors[i]|=msk;
}
for(auto [v,c]:e[x])
{
if(v==p)
continue;
for(int i=0;i<M;i++)
{
if(c&(1<<i))
{
wh_d[i]=x;
doors[i]|=msk;
}
}
find_doors(v,x,msk|c,t);
}
return;
}
int dis(int x,int y)
{
int ans=0;
if(dep[x]<dep[y])
swap(x,y);
for(int i=M;i>=0;i--)
{
if(dep[jmp[x][i]]>=dep[y])
{
x=jmp[x][i];
ans+=(1<<i);
}
}
if(x==y)
return ans;
for(int i=M;i>=0;i--)
{
if(jmp[x][i]!=jmp[y][i])
{
x=jmp[x][i];
y=jmp[y][i];
ans+=(2<<i);
}
}
return ans+2;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int n,m=0;
int s,t;
int ans=INF;
cin>>n;
cin>>s>>t;
for(int i=1;i<n;i++)
{
int a,b,c;
cin>>a>>b>>c;
if(c!=0)
{
wh_k[m]=c;
keys[c]|=(1<<m);
c=(1<<m);
m++;
}
e[a].emplace_back(b,c);
e[b].emplace_back(a,c);
}
find_doors(s,0,0,t);
wh_k[m]=t;
wh_d[m]=s;
for(int i=0;i<=m;i++)
{
for(int j=0;j<=m;j++)
dk[i][j]=dis(wh_d[i],wh_k[j]);
}
for(int i=0;i<m;i++)
dp[0][i]=INF;
for(int msk=1;msk<(1<<m);msk++)
{
for(int i=0;i<=m;i++)
{
dp[msk][i]=INF;
if((msk&(1<<i))==0 || ((msk^(1<<i))|doors[i])!=(msk^(1<<i)))
continue;
for(int j=0;j<=m;j++)
dp[msk][i]=min(dp[msk][i],dp[msk^(1<<i)][j]+dk[j][i]);
dp[msk][i]+=dk[i][i];
}
if((msk|doors[M])==msk)
{
for(int i=0;i<=m;i++)
ans=min(ans,dp[msk][i]+dk[i][m]);
}
}
if(doors[M]==0)
ans=min(ans,dk[m][m]);
cout<<(ans==INF ? -1:ans)<<"\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
29276 KB |
Output is correct |
2 |
Correct |
9 ms |
29276 KB |
Output is correct |
3 |
Correct |
61 ms |
46008 KB |
Output is correct |
4 |
Correct |
71 ms |
46020 KB |
Output is correct |
5 |
Correct |
62 ms |
46088 KB |
Output is correct |
6 |
Correct |
63 ms |
45916 KB |
Output is correct |
7 |
Correct |
60 ms |
46044 KB |
Output is correct |
8 |
Correct |
58 ms |
46152 KB |
Output is correct |
9 |
Correct |
59 ms |
46168 KB |
Output is correct |
10 |
Correct |
59 ms |
45908 KB |
Output is correct |
11 |
Correct |
59 ms |
45904 KB |
Output is correct |
12 |
Correct |
63 ms |
47448 KB |
Output is correct |
13 |
Correct |
58 ms |
46932 KB |
Output is correct |
14 |
Correct |
57 ms |
46740 KB |
Output is correct |
15 |
Correct |
59 ms |
47700 KB |
Output is correct |
16 |
Correct |
61 ms |
48208 KB |
Output is correct |
17 |
Correct |
61 ms |
48460 KB |
Output is correct |
18 |
Correct |
62 ms |
48720 KB |
Output is correct |
19 |
Correct |
80 ms |
52796 KB |
Output is correct |
20 |
Correct |
65 ms |
52820 KB |
Output is correct |
21 |
Correct |
63 ms |
52560 KB |
Output is correct |
22 |
Correct |
8 ms |
29528 KB |
Output is correct |
23 |
Correct |
8 ms |
29396 KB |
Output is correct |
24 |
Correct |
8 ms |
29276 KB |
Output is correct |
25 |
Correct |
8 ms |
29500 KB |
Output is correct |
26 |
Correct |
8 ms |
29368 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
29272 KB |
Output is correct |
2 |
Correct |
8 ms |
29276 KB |
Output is correct |
3 |
Correct |
9 ms |
29532 KB |
Output is correct |
4 |
Correct |
8 ms |
29532 KB |
Output is correct |
5 |
Correct |
81 ms |
77068 KB |
Output is correct |
6 |
Correct |
77 ms |
77080 KB |
Output is correct |
7 |
Correct |
87 ms |
76884 KB |
Output is correct |
8 |
Correct |
74 ms |
77088 KB |
Output is correct |
9 |
Correct |
78 ms |
77096 KB |
Output is correct |
10 |
Correct |
61 ms |
77140 KB |
Output is correct |
11 |
Correct |
64 ms |
77132 KB |
Output is correct |
12 |
Correct |
62 ms |
77140 KB |
Output is correct |
13 |
Correct |
64 ms |
76884 KB |
Output is correct |
14 |
Correct |
61 ms |
77092 KB |
Output is correct |
15 |
Correct |
73 ms |
76884 KB |
Output is correct |
16 |
Correct |
86 ms |
77864 KB |
Output is correct |
17 |
Correct |
76 ms |
76880 KB |
Output is correct |
18 |
Correct |
62 ms |
77136 KB |
Output is correct |
19 |
Correct |
61 ms |
77140 KB |
Output is correct |
20 |
Correct |
60 ms |
77280 KB |
Output is correct |
21 |
Correct |
66 ms |
77412 KB |
Output is correct |
22 |
Correct |
61 ms |
77580 KB |
Output is correct |
23 |
Correct |
61 ms |
77392 KB |
Output is correct |
24 |
Correct |
61 ms |
77396 KB |
Output is correct |
25 |
Correct |
299 ms |
117720 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
29276 KB |
Output is correct |
2 |
Correct |
9 ms |
29276 KB |
Output is correct |
3 |
Correct |
61 ms |
46008 KB |
Output is correct |
4 |
Correct |
71 ms |
46020 KB |
Output is correct |
5 |
Correct |
62 ms |
46088 KB |
Output is correct |
6 |
Correct |
63 ms |
45916 KB |
Output is correct |
7 |
Correct |
60 ms |
46044 KB |
Output is correct |
8 |
Correct |
58 ms |
46152 KB |
Output is correct |
9 |
Correct |
59 ms |
46168 KB |
Output is correct |
10 |
Correct |
59 ms |
45908 KB |
Output is correct |
11 |
Correct |
59 ms |
45904 KB |
Output is correct |
12 |
Correct |
63 ms |
47448 KB |
Output is correct |
13 |
Correct |
58 ms |
46932 KB |
Output is correct |
14 |
Correct |
57 ms |
46740 KB |
Output is correct |
15 |
Correct |
59 ms |
47700 KB |
Output is correct |
16 |
Correct |
61 ms |
48208 KB |
Output is correct |
17 |
Correct |
61 ms |
48460 KB |
Output is correct |
18 |
Correct |
62 ms |
48720 KB |
Output is correct |
19 |
Correct |
80 ms |
52796 KB |
Output is correct |
20 |
Correct |
65 ms |
52820 KB |
Output is correct |
21 |
Correct |
63 ms |
52560 KB |
Output is correct |
22 |
Correct |
8 ms |
29528 KB |
Output is correct |
23 |
Correct |
8 ms |
29396 KB |
Output is correct |
24 |
Correct |
8 ms |
29276 KB |
Output is correct |
25 |
Correct |
8 ms |
29500 KB |
Output is correct |
26 |
Correct |
8 ms |
29368 KB |
Output is correct |
27 |
Correct |
8 ms |
29272 KB |
Output is correct |
28 |
Correct |
8 ms |
29276 KB |
Output is correct |
29 |
Correct |
9 ms |
29532 KB |
Output is correct |
30 |
Correct |
8 ms |
29532 KB |
Output is correct |
31 |
Correct |
81 ms |
77068 KB |
Output is correct |
32 |
Correct |
77 ms |
77080 KB |
Output is correct |
33 |
Correct |
87 ms |
76884 KB |
Output is correct |
34 |
Correct |
74 ms |
77088 KB |
Output is correct |
35 |
Correct |
78 ms |
77096 KB |
Output is correct |
36 |
Correct |
61 ms |
77140 KB |
Output is correct |
37 |
Correct |
64 ms |
77132 KB |
Output is correct |
38 |
Correct |
62 ms |
77140 KB |
Output is correct |
39 |
Correct |
64 ms |
76884 KB |
Output is correct |
40 |
Correct |
61 ms |
77092 KB |
Output is correct |
41 |
Correct |
73 ms |
76884 KB |
Output is correct |
42 |
Correct |
86 ms |
77864 KB |
Output is correct |
43 |
Correct |
76 ms |
76880 KB |
Output is correct |
44 |
Correct |
62 ms |
77136 KB |
Output is correct |
45 |
Correct |
61 ms |
77140 KB |
Output is correct |
46 |
Correct |
60 ms |
77280 KB |
Output is correct |
47 |
Correct |
66 ms |
77412 KB |
Output is correct |
48 |
Correct |
61 ms |
77580 KB |
Output is correct |
49 |
Correct |
61 ms |
77392 KB |
Output is correct |
50 |
Correct |
61 ms |
77396 KB |
Output is correct |
51 |
Correct |
299 ms |
117720 KB |
Output is correct |
52 |
Correct |
1384 ms |
178512 KB |
Output is correct |
53 |
Correct |
1329 ms |
178512 KB |
Output is correct |
54 |
Correct |
1270 ms |
176212 KB |
Output is correct |
55 |
Correct |
1474 ms |
173748 KB |
Output is correct |
56 |
Correct |
1344 ms |
174520 KB |
Output is correct |
57 |
Correct |
1385 ms |
176124 KB |
Output is correct |
58 |
Correct |
8 ms |
29276 KB |
Output is correct |
59 |
Correct |
8 ms |
29276 KB |
Output is correct |
60 |
Correct |
8 ms |
29276 KB |
Output is correct |
61 |
Correct |
1431 ms |
176308 KB |
Output is correct |
62 |
Correct |
1367 ms |
185848 KB |
Output is correct |
63 |
Correct |
1356 ms |
179536 KB |
Output is correct |
64 |
Correct |
77 ms |
49232 KB |
Output is correct |
65 |
Correct |
77 ms |
47700 KB |
Output is correct |
66 |
Correct |
1468 ms |
176524 KB |
Output is correct |
67 |
Correct |
1467 ms |
176352 KB |
Output is correct |
68 |
Correct |
1113 ms |
219076 KB |
Output is correct |
69 |
Correct |
1115 ms |
219376 KB |
Output is correct |
70 |
Correct |
1077 ms |
218740 KB |
Output is correct |
71 |
Correct |
1080 ms |
216656 KB |
Output is correct |
72 |
Correct |
1064 ms |
216608 KB |
Output is correct |
73 |
Correct |
1152 ms |
220344 KB |
Output is correct |
74 |
Correct |
1150 ms |
221108 KB |
Output is correct |
75 |
Correct |
1132 ms |
220772 KB |
Output is correct |
76 |
Correct |
1148 ms |
221716 KB |
Output is correct |
77 |
Correct |
1153 ms |
220568 KB |
Output is correct |
78 |
Correct |
1245 ms |
223256 KB |
Output is correct |
79 |
Correct |
1171 ms |
223168 KB |
Output is correct |
80 |
Correct |
1219 ms |
221760 KB |
Output is correct |
81 |
Correct |
1421 ms |
236016 KB |
Output is correct |
82 |
Correct |
1510 ms |
239488 KB |
Output is correct |
83 |
Correct |
1494 ms |
237324 KB |
Output is correct |
84 |
Correct |
1506 ms |
250936 KB |
Output is correct |
85 |
Correct |
1792 ms |
288468 KB |
Output is correct |
86 |
Correct |
1823 ms |
287568 KB |
Output is correct |
87 |
Correct |
1720 ms |
285208 KB |
Output is correct |