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Submission #630994

# Submission time Handle Problem Language Result Execution time Memory
630994 2022-08-17T12:23:44 Z bachhoangxuan Toll (BOI17_toll) C++17
100 / 100
 131 ms 20684 KB 
#include<bits/stdc++.h>
using namespace std;
#define maxn 50005
#define maxl 20
#define maxk 5
const int inf=1e9;
int dp[maxn][maxl][maxk],n,m,k,t,Min[maxk],nMin[maxk];
int query(int u,int v){
    for(int i=0;i<k;i++) Min[i]=nMin[i]=inf;
    Min[u%k]=0;
    int ub=u/k,vb=v/k;
    for(int i=15;i>=0;i--){
        if((vb-ub)&(1<<i)){
            for(int j=0;j<k;j++) nMin[j]=inf;
            for(int p=0;p<k;p++){
                for(int j=0;j<k;j++){
                    int cur=ub*k+p;
                    nMin[j]=min(nMin[j],Min[p]+dp[cur][i][j]);
                }
            }
            ub+=(1<<i);
            for(int j=0;j<k;j++) Min[j]=nMin[j];
        }
    }
    return Min[v%k];
}
signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);cout.tie(NULL);
    cin >> k >> n >> m >> t;
    for(int u=0;u<n;u++){
        for(int i=0;i<=15;i++){
            for(int j=0;j<k;j++) dp[u][i][j]=inf;
        }
    }
    for(int i=1;i<=m;i++){
        int u,v,w;cin >> u >> v >> w;
        dp[u][0][v%k]=w;
    }
    for(int i=1;i<=15;i++){
        for(int u=0;u<n;u++){
            for(int j=0;j<k;j++){
                dp[u][i][j]=inf;
                for(int p=0;p<k;p++){
                    int nxt=((u/k)+(1<<(i-1)))*k+p;
                    if(nxt>=n) continue;
                    dp[u][i][j]=min(dp[u][i][j],dp[u][i-1][p]+dp[nxt][i-1][j]);
                }
            }
        }
    }
    for(int i=1;i<=t;i++){
        int u,v;cin >> u >> v;
        int x=query(u,v);
        if(x==inf) cout << -1 << '\n';
        else cout << x << '\n';
    }
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 20684 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 728 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 46 ms 20516 KB Output is correct
9 Correct 42 ms 20472 KB Output is correct
10 Correct 25 ms 20024 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 20684 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 4 ms 772 KB Output is correct
8 Correct 4 ms 852 KB Output is correct
9 Correct 38 ms 20544 KB Output is correct
10 Correct 91 ms 20584 KB Output is correct
11 Correct 64 ms 20556 KB Output is correct
12 Correct 60 ms 20532 KB Output is correct
13 Correct 71 ms 12708 KB Output is correct
14 Correct 44 ms 12656 KB Output is correct
15 Correct 56 ms 12696 KB Output is correct
16 Correct 59 ms 12656 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 728 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 2 ms 724 KB Output is correct
9 Correct 2 ms 728 KB Output is correct
10 Correct 32 ms 20564 KB Output is correct
11 Correct 55 ms 20556 KB Output is correct
12 Correct 84 ms 20636 KB Output is correct
13 Correct 73 ms 20536 KB Output is correct
14 Correct 62 ms 20648 KB Output is correct
15 Correct 55 ms 13012 KB Output is correct
16 Correct 52 ms 12800 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 728 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 2 ms 724 KB Output is correct
9 Correct 2 ms 728 KB Output is correct
10 Correct 32 ms 20564 KB Output is correct
11 Correct 55 ms 20556 KB Output is correct
12 Correct 84 ms 20636 KB Output is correct
13 Correct 73 ms 20536 KB Output is correct
14 Correct 62 ms 20648 KB Output is correct
15 Correct 55 ms 13012 KB Output is correct
16 Correct 52 ms 12800 KB Output is correct
17 Correct 57 ms 20648 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 2 ms 764 KB Output is correct
24 Correct 2 ms 728 KB Output is correct
25 Correct 4 ms 724 KB Output is correct
26 Correct 3 ms 724 KB Output is correct
27 Correct 39 ms 20520 KB Output is correct
28 Correct 84 ms 20448 KB Output is correct
29 Correct 93 ms 20520 KB Output is correct
30 Correct 74 ms 20428 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 20684 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 728 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 46 ms 20516 KB Output is correct
9 Correct 42 ms 20472 KB Output is correct
10 Correct 25 ms 20024 KB Output is correct
11 Correct 57 ms 20684 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 4 ms 772 KB Output is correct
18 Correct 4 ms 852 KB Output is correct
19 Correct 38 ms 20544 KB Output is correct
20 Correct 91 ms 20584 KB Output is correct
21 Correct 64 ms 20556 KB Output is correct
22 Correct 60 ms 20532 KB Output is correct
23 Correct 71 ms 12708 KB Output is correct
24 Correct 44 ms 12656 KB Output is correct
25 Correct 56 ms 12696 KB Output is correct
26 Correct 59 ms 12656 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 728 KB Output is correct
33 Correct 1 ms 724 KB Output is correct
34 Correct 2 ms 724 KB Output is correct
35 Correct 2 ms 728 KB Output is correct
36 Correct 32 ms 20564 KB Output is correct
37 Correct 55 ms 20556 KB Output is correct
38 Correct 84 ms 20636 KB Output is correct
39 Correct 73 ms 20536 KB Output is correct
40 Correct 62 ms 20648 KB Output is correct
41 Correct 55 ms 13012 KB Output is correct
42 Correct 52 ms 12800 KB Output is correct
43 Correct 57 ms 20648 KB Output is correct
44 Correct 0 ms 340 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 2 ms 764 KB Output is correct
50 Correct 2 ms 728 KB Output is correct
51 Correct 4 ms 724 KB Output is correct
52 Correct 3 ms 724 KB Output is correct
53 Correct 39 ms 20520 KB Output is correct
54 Correct 84 ms 20448 KB Output is correct
55 Correct 93 ms 20520 KB Output is correct
56 Correct 74 ms 20428 KB Output is correct
57 Correct 131 ms 20604 KB Output is correct
58 Correct 38 ms 20508 KB Output is correct
59 Correct 58 ms 20528 KB Output is correct