Submission #946293

# Submission time Handle Problem Language Result Execution time Memory
946293 2024-03-14T13:25:46 Z PM1 LOSTIKS (INOI20_lostiks) C++17
100 / 100
1390 ms 345140 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define fr first
#define sc second
const int mxn=1e6+5,sz=(1<<22);
int n,dis[40][40],par[mxn][22],c[mxn],key[25],door[25],cnt=0,d[mxn];
ll dp[sz][25],ans=1e9;
vector<pair<int,int>>v[mxn];
void dfs(int z,int f=0){
	for(int i=1;i<=20;i++)
		par[z][i]=par[par[z][i-1]][i-1];
	for(auto i:v[z]){
		if(par[z][0]!=i.fr){
			par[i.fr][0]=z;
			c[i.fr]=c[z];
			d[i.fr]=d[z]+1;
			if(i.sc){
				door[++cnt]=z;
				key[cnt]=i.sc;
				c[i.fr]|=(1<<(cnt-1));
			}
			dfs(i.fr);
		}
	}
}
int lca(int x,int y){
	if(x==0 || y==0)return 0;
	if(d[x]<d[y])swap(x,y);
	int res=0;
	for(int i=20;i>=0;i--){
		if((1<<i)<=d[x]-d[y])x=par[x][i],res+=(1<<i);
	}
	if(x==y)return res;
	for(int i=20;i>=0;i--){
		if(par[x][i]!=par[y][i])x=par[x][i],y=par[y][i],res+=(1<<(i+1));
	}
	return res+2;
}
int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	cin>>n;
	cin>>door[21]>>key[21];
	for(int i=1;i<n;i++){
		int x,y,w;
		cin>>x>>y>>w;
		v[x].push_back({y,w});
		v[y].push_back({x,w});
	}
	dfs(door[21]);
	for(int i=1;i<=21;i++){
		for(int j=1;j<=21;j++){
			dis[i][j]=lca(door[i],key[j]);
		}
	}
	for(int i=0;i<cnt;i++){
		if(!c[door[i+1]] && !c[key[i+1]])
			dp[(1<<i)][i]=dis[21][i+1]+dis[i+1][i+1];
		else
			dp[(1<<i)][i]=1e9;
	}
	for(int i=1;i<(1<<cnt);i++){
		for(int j=0;j<cnt;j++){
			if(__builtin_popcount(i)!=1)dp[i][j]=1e9;
			if((i&(1<<j)) && (i&c[door[j+1]])==c[door[j+1]] && (i&c[key[j+1]])==c[key[j+1]]) {
				for(int w=0;w<cnt;w++){
					if(i&(1<<w)){
						if(w!=j  && dp[i-(1<<j)][w]!=1e9){
							dp[i][j]=min(dp[i][j],dis[j+1][j+1]+dis[w+1][j+1]+dp[i-(1<<j)][w]);
							
						}
					}
				}
				if((i&(c[key[21]]))==c[key[21]]){
					ans=min(ans,dp[i][j]+dis[j+1][21]);
				}
			}
		}
	
	}
	if(c[key[21]]==0)ans=dis[21][21];
	if(ans==1e9)ans=-1;
	cout<<ans;
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 27224 KB Output is correct
2 Correct 6 ms 27224 KB Output is correct
3 Correct 55 ms 41480 KB Output is correct
4 Correct 53 ms 41304 KB Output is correct
5 Correct 57 ms 41564 KB Output is correct
6 Correct 63 ms 41552 KB Output is correct
7 Correct 54 ms 41552 KB Output is correct
8 Correct 62 ms 41436 KB Output is correct
9 Correct 80 ms 41552 KB Output is correct
10 Correct 61 ms 41512 KB Output is correct
11 Correct 68 ms 41560 KB Output is correct
12 Correct 76 ms 43008 KB Output is correct
13 Correct 57 ms 42572 KB Output is correct
14 Correct 57 ms 41980 KB Output is correct
15 Correct 59 ms 43092 KB Output is correct
16 Correct 61 ms 43884 KB Output is correct
17 Correct 75 ms 45140 KB Output is correct
18 Correct 74 ms 45516 KB Output is correct
19 Correct 86 ms 49736 KB Output is correct
20 Correct 76 ms 49492 KB Output is correct
21 Correct 77 ms 49252 KB Output is correct
22 Correct 7 ms 27228 KB Output is correct
23 Correct 6 ms 27228 KB Output is correct
24 Correct 6 ms 27228 KB Output is correct
25 Correct 6 ms 27228 KB Output is correct
26 Correct 6 ms 27228 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 27224 KB Output is correct
2 Correct 6 ms 27224 KB Output is correct
3 Correct 6 ms 27228 KB Output is correct
4 Correct 6 ms 27268 KB Output is correct
5 Correct 158 ms 130780 KB Output is correct
6 Correct 133 ms 130656 KB Output is correct
7 Correct 177 ms 130672 KB Output is correct
8 Correct 146 ms 130788 KB Output is correct
9 Correct 159 ms 130708 KB Output is correct
10 Correct 101 ms 130764 KB Output is correct
11 Correct 102 ms 130644 KB Output is correct
12 Correct 102 ms 130800 KB Output is correct
13 Correct 106 ms 130720 KB Output is correct
14 Correct 103 ms 130644 KB Output is correct
15 Correct 134 ms 130752 KB Output is correct
16 Correct 179 ms 130740 KB Output is correct
17 Correct 154 ms 130800 KB Output is correct
18 Correct 103 ms 130772 KB Output is correct
19 Correct 102 ms 130812 KB Output is correct
20 Correct 100 ms 130900 KB Output is correct
21 Correct 100 ms 131012 KB Output is correct
22 Correct 106 ms 131180 KB Output is correct
23 Correct 105 ms 131268 KB Output is correct
24 Correct 100 ms 131176 KB Output is correct
25 Correct 800 ms 232408 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 27224 KB Output is correct
2 Correct 6 ms 27224 KB Output is correct
3 Correct 55 ms 41480 KB Output is correct
4 Correct 53 ms 41304 KB Output is correct
5 Correct 57 ms 41564 KB Output is correct
6 Correct 63 ms 41552 KB Output is correct
7 Correct 54 ms 41552 KB Output is correct
8 Correct 62 ms 41436 KB Output is correct
9 Correct 80 ms 41552 KB Output is correct
10 Correct 61 ms 41512 KB Output is correct
11 Correct 68 ms 41560 KB Output is correct
12 Correct 76 ms 43008 KB Output is correct
13 Correct 57 ms 42572 KB Output is correct
14 Correct 57 ms 41980 KB Output is correct
15 Correct 59 ms 43092 KB Output is correct
16 Correct 61 ms 43884 KB Output is correct
17 Correct 75 ms 45140 KB Output is correct
18 Correct 74 ms 45516 KB Output is correct
19 Correct 86 ms 49736 KB Output is correct
20 Correct 76 ms 49492 KB Output is correct
21 Correct 77 ms 49252 KB Output is correct
22 Correct 7 ms 27228 KB Output is correct
23 Correct 6 ms 27228 KB Output is correct
24 Correct 6 ms 27228 KB Output is correct
25 Correct 6 ms 27228 KB Output is correct
26 Correct 6 ms 27228 KB Output is correct
27 Correct 5 ms 27224 KB Output is correct
28 Correct 6 ms 27224 KB Output is correct
29 Correct 6 ms 27228 KB Output is correct
30 Correct 6 ms 27268 KB Output is correct
31 Correct 158 ms 130780 KB Output is correct
32 Correct 133 ms 130656 KB Output is correct
33 Correct 177 ms 130672 KB Output is correct
34 Correct 146 ms 130788 KB Output is correct
35 Correct 159 ms 130708 KB Output is correct
36 Correct 101 ms 130764 KB Output is correct
37 Correct 102 ms 130644 KB Output is correct
38 Correct 102 ms 130800 KB Output is correct
39 Correct 106 ms 130720 KB Output is correct
40 Correct 103 ms 130644 KB Output is correct
41 Correct 134 ms 130752 KB Output is correct
42 Correct 179 ms 130740 KB Output is correct
43 Correct 154 ms 130800 KB Output is correct
44 Correct 103 ms 130772 KB Output is correct
45 Correct 102 ms 130812 KB Output is correct
46 Correct 100 ms 130900 KB Output is correct
47 Correct 100 ms 131012 KB Output is correct
48 Correct 106 ms 131180 KB Output is correct
49 Correct 105 ms 131268 KB Output is correct
50 Correct 100 ms 131176 KB Output is correct
51 Correct 800 ms 232408 KB Output is correct
52 Correct 1098 ms 178448 KB Output is correct
53 Correct 1113 ms 179012 KB Output is correct
54 Correct 1010 ms 175996 KB Output is correct
55 Correct 1063 ms 175804 KB Output is correct
56 Correct 1075 ms 176740 KB Output is correct
57 Correct 1034 ms 178400 KB Output is correct
58 Correct 6 ms 27312 KB Output is correct
59 Correct 6 ms 27228 KB Output is correct
60 Correct 6 ms 27228 KB Output is correct
61 Correct 1059 ms 178536 KB Output is correct
62 Correct 1045 ms 200120 KB Output is correct
63 Correct 1053 ms 187700 KB Output is correct
64 Correct 97 ms 45008 KB Output is correct
65 Correct 72 ms 45084 KB Output is correct
66 Correct 1033 ms 178136 KB Output is correct
67 Correct 1037 ms 178644 KB Output is correct
68 Correct 973 ms 276096 KB Output is correct
69 Correct 970 ms 276780 KB Output is correct
70 Correct 963 ms 276052 KB Output is correct
71 Correct 1016 ms 276008 KB Output is correct
72 Correct 971 ms 275712 KB Output is correct
73 Correct 892 ms 277980 KB Output is correct
74 Correct 926 ms 278368 KB Output is correct
75 Correct 977 ms 278428 KB Output is correct
76 Correct 926 ms 279032 KB Output is correct
77 Correct 915 ms 277228 KB Output is correct
78 Correct 1062 ms 280684 KB Output is correct
79 Correct 1052 ms 280236 KB Output is correct
80 Correct 1129 ms 279180 KB Output is correct
81 Correct 1148 ms 295356 KB Output is correct
82 Correct 1186 ms 296916 KB Output is correct
83 Correct 1134 ms 296836 KB Output is correct
84 Correct 1104 ms 308144 KB Output is correct
85 Correct 1256 ms 345140 KB Output is correct
86 Correct 1368 ms 344708 KB Output is correct
87 Correct 1390 ms 344796 KB Output is correct