Submission #471857

# Submission time Handle Problem Language Result Execution time Memory
471857 2021-09-11T09:10:11 Z FatihSolak Olympic Bus (JOI20_ho_t4) C++17
100 / 100
109 ms 13504 KB
#include <bits/stdc++.h>
#define N 205
#define M 50005
#define int long long
using namespace std;
struct edge{
    int u,v,c,d,i;
};
vector<edge> edges(M);
vector<edge> adj[N];
int dp[N][N],dp2[N][N],dp3[N][N];
vector<pair<int,int>> dijkstra(int st,int nd){
    vector<int> dist(N,1e18);
    vector<pair<int,int>> par(N);
    dist[st] = 0;
    priority_queue<pair<int,int>> q;
    q.push({0,st});
    while(q.size()){
        auto tp = q.top();
        q.pop();
        tp.first *=-1;
        if(tp.second == nd){
            vector<pair<int,int>> path;
            int now = nd;
            path.push_back({nd,0});
            while(now != st){
                path.push_back(par[now]);
                now = par[now].first;
            }
            reverse(path.begin(),path.end());
            return path;
        }
        if(tp.first != dist[tp.second])continue;
        for(auto u:adj[tp.second]){
            if(dist[u.v] > dist[u.u] + u.c){
                dist[u.v] = dist[u.u] + u.c;
                par[u.v] = {u.u,u.i};
                q.push({-dist[u.v],u.v});
            }
        }
    }
    return {};
}
void solve(){
    int n,m;
    cin >> n >> m;
    for(int i=1;i<=m;i++){
        int u,v,c,d;
        cin >> u >> v >> c >> d;
        adj[u].push_back({u,v,c,d,i});
        edges[i] = {u,v,c,d};
    }
    auto path1 = dijkstra(1,n);
    auto path2 = dijkstra(n,1);
    map<int,int> mp1,mp2;
    for(int i = 0;i<(int)path1.size()-1;i++){
        mp1[path1[i].second] = i+1;
    }
    for(int i = 0;i<(int)path2.size()-1;i++){
        mp2[path2[i].second] = i+1;
    }
    for(int i=0;i<N;i++){
        for(int j=0;j<N;j++){
            dp[i][j] = dp2[i][j] = dp3[i][j] = 1e18;
        }
        dp[i][i] = dp2[i][i] = dp3[i][i] = 0;
    }
    for(int i=1;i<=m;i++){
        dp[edges[i].u][edges[i].v] = min(dp[edges[i].u][edges[i].v],edges[i].c);
        if(!mp1[i]){
            dp2[edges[i].u][edges[i].v] = min(dp2[edges[i].u][edges[i].v],edges[i].c);
        }
        if(!mp2[i]){
            dp3[edges[i].u][edges[i].v] = min(dp3[edges[i].u][edges[i].v],edges[i].c);
        }
    }
    for(int x=1;x<=n;x++){
        for(int i=1;i<=n;i++){
            for(int j=1;j<=n;j++){
                dp[i][j] = min(dp[i][j],dp[i][x] + dp[x][j]);
                dp2[i][j] = min(dp2[i][j],dp2[i][x] + dp2[x][j]);
                dp3[i][j] = min(dp3[i][j],dp3[i][x] + dp3[x][j]);
            }
        }
    }
    int ans = 1e18;
    ans = min(ans,dp[1][n] + dp[n][1]);
    for(int i=1;i<=m;i++){
        int now = edges[i].d;
        if(mp1[i]){
            int mini = 1e18;
            for(int l=0;l<=mp1[i]-1;l++){
                for(int r = mp1[i];r<path1.size();r++){
                    int x = path1[l].first;
                    int y = path1[r].first;
                    mini = min(mini, dp[1][x] + dp2[x][y] + dp[y][n]);
                }
            }
            now += mini;
        }
        else{
            now += min(dp[1][n],dp[1][edges[i].v] + edges[i].c + dp[edges[i].u][n]);
        }
        if(mp2[i]){
            int mini = 1e18;
            for(int l=0;l<=mp2[i]-1;l++){
                for(int r = mp2[i];r<path2.size();r++){
                    int x = path2[l].first;
                    int y = path2[r].first;
                    mini = min(mini, dp[n][x] + dp3[x][y] + dp[y][1]);
                }
            }
            now += mini;
        }
        else{
            now += min(dp[n][1],dp[n][edges[i].v] + edges[i].c + dp[edges[i].u][1]);
        }
        ans = min(ans,now);
    }
    cout << (ans < 1e18?ans:-1);
}

int32_t main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    #ifdef Local
    freopen("in.txt","r",stdin);
    freopen("out.txt","w",stdout);
    #endif
    int t=1;
    //cin>>t;
    while(t--){
        solve();
    }
    #ifdef Local
    cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
    #endif
}

Compilation message

ho_t4.cpp: In function 'void solve()':
ho_t4.cpp:93:37: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |                 for(int r = mp1[i];r<path1.size();r++){
      |                                    ~^~~~~~~~~~~~~
ho_t4.cpp:107:37: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  107 |                 for(int r = mp2[i];r<path2.size();r++){
      |                                    ~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 33 ms 3404 KB Output is correct
2 Correct 31 ms 3276 KB Output is correct
3 Correct 27 ms 3404 KB Output is correct
4 Correct 26 ms 3408 KB Output is correct
5 Correct 3 ms 3408 KB Output is correct
6 Correct 24 ms 3280 KB Output is correct
7 Correct 2 ms 3284 KB Output is correct
8 Correct 2 ms 3196 KB Output is correct
9 Correct 3 ms 3412 KB Output is correct
10 Correct 46 ms 3404 KB Output is correct
11 Correct 40 ms 3404 KB Output is correct
12 Correct 47 ms 3464 KB Output is correct
13 Correct 26 ms 3404 KB Output is correct
14 Correct 26 ms 3468 KB Output is correct
15 Correct 26 ms 3404 KB Output is correct
16 Correct 26 ms 3404 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 89 ms 12356 KB Output is correct
2 Correct 109 ms 12488 KB Output is correct
3 Correct 87 ms 12548 KB Output is correct
4 Correct 34 ms 3588 KB Output is correct
5 Correct 35 ms 3404 KB Output is correct
6 Correct 27 ms 3276 KB Output is correct
7 Correct 25 ms 3276 KB Output is correct
8 Correct 2 ms 3276 KB Output is correct
9 Correct 87 ms 12736 KB Output is correct
10 Correct 83 ms 12752 KB Output is correct
11 Correct 87 ms 12312 KB Output is correct
12 Correct 84 ms 12316 KB Output is correct
13 Correct 88 ms 12544 KB Output is correct
14 Correct 87 ms 13504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 30 ms 3408 KB Output is correct
2 Correct 27 ms 3328 KB Output is correct
3 Correct 71 ms 10660 KB Output is correct
4 Correct 24 ms 3276 KB Output is correct
5 Correct 82 ms 12504 KB Output is correct
6 Correct 2 ms 3276 KB Output is correct
7 Correct 2 ms 3276 KB Output is correct
8 Correct 83 ms 12708 KB Output is correct
9 Correct 88 ms 12616 KB Output is correct
10 Correct 81 ms 12356 KB Output is correct
11 Correct 85 ms 12488 KB Output is correct
12 Correct 80 ms 12484 KB Output is correct
13 Correct 2 ms 3148 KB Output is correct
14 Correct 2 ms 3276 KB Output is correct
15 Correct 2 ms 3276 KB Output is correct
16 Correct 2 ms 3252 KB Output is correct
17 Correct 2 ms 3276 KB Output is correct
18 Correct 2 ms 3276 KB Output is correct
19 Correct 94 ms 12744 KB Output is correct
20 Correct 82 ms 12484 KB Output is correct
21 Correct 84 ms 12888 KB Output is correct
22 Correct 87 ms 12792 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 33 ms 3404 KB Output is correct
2 Correct 31 ms 3276 KB Output is correct
3 Correct 27 ms 3404 KB Output is correct
4 Correct 26 ms 3408 KB Output is correct
5 Correct 3 ms 3408 KB Output is correct
6 Correct 24 ms 3280 KB Output is correct
7 Correct 2 ms 3284 KB Output is correct
8 Correct 2 ms 3196 KB Output is correct
9 Correct 3 ms 3412 KB Output is correct
10 Correct 46 ms 3404 KB Output is correct
11 Correct 40 ms 3404 KB Output is correct
12 Correct 47 ms 3464 KB Output is correct
13 Correct 26 ms 3404 KB Output is correct
14 Correct 26 ms 3468 KB Output is correct
15 Correct 26 ms 3404 KB Output is correct
16 Correct 26 ms 3404 KB Output is correct
17 Correct 89 ms 12356 KB Output is correct
18 Correct 109 ms 12488 KB Output is correct
19 Correct 87 ms 12548 KB Output is correct
20 Correct 34 ms 3588 KB Output is correct
21 Correct 35 ms 3404 KB Output is correct
22 Correct 27 ms 3276 KB Output is correct
23 Correct 25 ms 3276 KB Output is correct
24 Correct 2 ms 3276 KB Output is correct
25 Correct 87 ms 12736 KB Output is correct
26 Correct 83 ms 12752 KB Output is correct
27 Correct 87 ms 12312 KB Output is correct
28 Correct 84 ms 12316 KB Output is correct
29 Correct 88 ms 12544 KB Output is correct
30 Correct 87 ms 13504 KB Output is correct
31 Correct 30 ms 3408 KB Output is correct
32 Correct 27 ms 3328 KB Output is correct
33 Correct 71 ms 10660 KB Output is correct
34 Correct 24 ms 3276 KB Output is correct
35 Correct 82 ms 12504 KB Output is correct
36 Correct 2 ms 3276 KB Output is correct
37 Correct 2 ms 3276 KB Output is correct
38 Correct 83 ms 12708 KB Output is correct
39 Correct 88 ms 12616 KB Output is correct
40 Correct 81 ms 12356 KB Output is correct
41 Correct 85 ms 12488 KB Output is correct
42 Correct 80 ms 12484 KB Output is correct
43 Correct 2 ms 3148 KB Output is correct
44 Correct 2 ms 3276 KB Output is correct
45 Correct 2 ms 3276 KB Output is correct
46 Correct 2 ms 3252 KB Output is correct
47 Correct 2 ms 3276 KB Output is correct
48 Correct 2 ms 3276 KB Output is correct
49 Correct 94 ms 12744 KB Output is correct
50 Correct 82 ms 12484 KB Output is correct
51 Correct 84 ms 12888 KB Output is correct
52 Correct 87 ms 12792 KB Output is correct
53 Correct 100 ms 12864 KB Output is correct
54 Correct 84 ms 12924 KB Output is correct
55 Correct 83 ms 12796 KB Output is correct
56 Correct 25 ms 3404 KB Output is correct
57 Correct 26 ms 3404 KB Output is correct
58 Correct 79 ms 11004 KB Output is correct
59 Correct 79 ms 11044 KB Output is correct
60 Correct 79 ms 11048 KB Output is correct
61 Correct 78 ms 11076 KB Output is correct
62 Correct 82 ms 11044 KB Output is correct
63 Correct 75 ms 11116 KB Output is correct
64 Correct 84 ms 11208 KB Output is correct
65 Correct 87 ms 11200 KB Output is correct
66 Correct 82 ms 11084 KB Output is correct
67 Correct 58 ms 10784 KB Output is correct
68 Correct 87 ms 13384 KB Output is correct
69 Correct 86 ms 13408 KB Output is correct
70 Correct 84 ms 13140 KB Output is correct
71 Correct 107 ms 13012 KB Output is correct
72 Correct 84 ms 13148 KB Output is correct
73 Correct 85 ms 13200 KB Output is correct
74 Correct 84 ms 13272 KB Output is correct