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Submission #946264

# Submission time Handle Problem Language Result Execution time Memory
946264 2024-03-14T13:11:40 Z PM1 LOSTIKS (INOI20_lostiks) C++17
36 / 100
 778 ms 232644 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];
	assert(ans<1e9);
	cout<<ans;
	return 0;
}

Subtask #1
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 27224 KB Output is correct
2 Correct 6 ms 27224 KB Output is correct
3 Correct 55 ms 41320 KB Output is correct
4 Correct 56 ms 41300 KB Output is correct
5 Correct 65 ms 41300 KB Output is correct
6 Correct 57 ms 41300 KB Output is correct
7 Correct 55 ms 41552 KB Output is correct
8 Correct 58 ms 41556 KB Output is correct
9 Correct 63 ms 41808 KB Output is correct
10 Correct 60 ms 41608 KB Output is correct
11 Correct 56 ms 41556 KB Output is correct
12 Correct 68 ms 42956 KB Output is correct
13 Correct 58 ms 42616 KB Output is correct
14 Correct 66 ms 42068 KB Output is correct
15 Runtime error 97 ms 68844 KB Execution killed with signal 6
16 Halted 0 ms 0 KB -

Subtask #2
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 27228 KB Output is correct
2 Correct 6 ms 27228 KB Output is correct
3 Correct 6 ms 27228 KB Output is correct
4 Correct 6 ms 27228 KB Output is correct
5 Correct 179 ms 130636 KB Output is correct
6 Correct 143 ms 130716 KB Output is correct
7 Correct 176 ms 130796 KB Output is correct
8 Correct 139 ms 130644 KB Output is correct
9 Correct 143 ms 130652 KB Output is correct
10 Correct 104 ms 131136 KB Output is correct
11 Correct 102 ms 130640 KB Output is correct
12 Correct 104 ms 130708 KB Output is correct
13 Correct 101 ms 130644 KB Output is correct
14 Correct 101 ms 130760 KB Output is correct
15 Correct 134 ms 130652 KB Output is correct
16 Correct 166 ms 130640 KB Output is correct
17 Correct 150 ms 130696 KB Output is correct
18 Correct 102 ms 131180 KB Output is correct
19 Correct 102 ms 130828 KB Output is correct
20 Correct 100 ms 130864 KB Output is correct
21 Correct 101 ms 130864 KB Output is correct
22 Correct 101 ms 131224 KB Output is correct
23 Correct 100 ms 131192 KB Output is correct
24 Correct 102 ms 131220 KB Output is correct
25 Correct 778 ms 232644 KB Output is correct

Subtask #3
0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 27224 KB Output is correct
2 Correct 6 ms 27224 KB Output is correct
3 Correct 55 ms 41320 KB Output is correct
4 Correct 56 ms 41300 KB Output is correct
5 Correct 65 ms 41300 KB Output is correct
6 Correct 57 ms 41300 KB Output is correct
7 Correct 55 ms 41552 KB Output is correct
8 Correct 58 ms 41556 KB Output is correct
9 Correct 63 ms 41808 KB Output is correct
10 Correct 60 ms 41608 KB Output is correct
11 Correct 56 ms 41556 KB Output is correct
12 Correct 68 ms 42956 KB Output is correct
13 Correct 58 ms 42616 KB Output is correct
14 Correct 66 ms 42068 KB Output is correct
15 Runtime error 97 ms 68844 KB Execution killed with signal 6
16 Halted 0 ms 0 KB -