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Submission #486336

# Submission time Handle Problem Language Result Execution time Memory
486336 2021-11-11T10:10:21 Z Jarif_Rahman Olympic Bus (JOI20_ho_t4) C++17
100 / 100
 730 ms 6520 KB 
#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
const ll inf = 1e17;
 
vector<ll> dijkstra(vector<vector<array<int, 3>>> v, int source){
    int n = v.size();
 
    vector<ll> dis(n, inf);
    vector<bool> bl(n, 0);
    priority_queue<pair<ll, int>> pq;
 
    dis[source] = 0;
    pq.push({0, source});
 
    while(!pq.empty()){
        int nd = pq.top().sc; pq.pop();
        if(bl[nd]) continue;
        bl[nd] = 1;
        for(auto [w, c, x]: v[nd]) if(dis[nd]+w < dis[x]){
            dis[x] = dis[nd]+w;
            pq.push({-dis[x], x});
        }
    }
 
    return dis;
}
 
int e[50000][4];
 
vector<ll> d1, d2, d3, d4;
vector<vector<array<int, 3>>> v, vr;
vector<bool> s1, s2;
vector<bool> bl1, bl2;
int ddd1[200], ddd2[200];
 
void dfs_1(int nd, int d){
    if(bl1[nd]){
        return;
    }
    bl1[nd] = 1;
    ddd1[nd] = d;
    for(auto [w, c, x]: v[nd]) dfs_1(x, d+1);
}
 
void dfs_2(int nd, int d){
    if(bl2[nd]){
        return;
    }
    bl2[nd] = 1;
    ddd2[nd] = d;
    for(auto [w, c, x]: v[nd]) dfs_2(x, d+1);
}
 
void dfs1(int nd){
    for(auto [w, c, x]: vr[nd]) if((d1[x] < d1[nd] || (d1[x] == d1[nd] && ddd1[x] < ddd1[nd])) && d1[x]+w == d1[nd]){
        s1[c] = 1;
        dfs1(x);
        break;
    }
}
 
void dfs2(int nd){
    for(auto [w, c, x]: vr[nd]) if((d3[x] < d3[nd] || (d3[x] == d3[nd] && ddd2[x] < ddd2[nd])) && d3[x]+w == d3[nd]){
        s2[c] = 1;
        dfs2(x);
        break;
    }
}
 
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n, m; cin >> n >> m;
 
    v.resize(n);
    vr.resize(n);
 
    for(int i = 0; i < m; i++){
        cin >> e[i][0] >> e[i][1] >> e[i][2] >> e[i][3];
        e[i][0]--, e[i][1]--;
 
        v[e[i][0]].pb({e[i][2], i, e[i][1]});
        vr[e[i][1]].pb({e[i][2], i, e[i][0]});
    }
 
    s1.assign(m, 0), s2.assign(m, 0);
 
    d1 = dijkstra(v, 0), d2 = dijkstra(vr, n-1), d3 = dijkstra(v, n-1), d4 = dijkstra(vr, 0);
 
    bl1.assign(n, 0);
    bl2.assign(n, 0);
    
    dfs_1(0, 0);
    dfs_2(n-1, 0);
 
    dfs1(n-1);
    dfs2(0);
 
    ll ans = inf;
 
    ans = min(ans, d1[n-1]+d3[0]);
 
    for(int i = 0; i < m; i++){
        int a = e[i][0], b = e[i][1];
        ll w = e[i][2], c = e[i][3];
        if(!s2[i] && !s1[i]){
            ans = min(ans, c+d1[b]+w+d2[a]+d3[0]);
            ans = min(ans, c+d1[n-1]+d3[b]+w+d4[a]);
            ans = min(ans, c+d1[b]+w+d2[a]+d3[b]+w+d4[a]);
            continue;
        }
 
        vector<vector<array<int, 3>>> v0(n);
 
        for(int j = 0; j < m; j++){
            if(j == i) v0[e[j][1]].pb({e[j][2], e[j][3], e[j][0]});
            else v0[e[j][0]].pb({e[j][2], e[j][3], e[j][1]});
        }

        if(!s2[i]){
            auto dd1 = dijkstra(v0, 0);
            ans = min(ans, dd1[n-1]+d3[0]+e[i][3]);
            ans = min(ans, dd1[n-1]+d3[b]+w+d4[a]+e[i][3]);
        }
        else if(!s1[i]){
            auto dd2 = dijkstra(v0, n-1);
            ans = min(ans, d1[n-1]+dd2[0]+e[i][3]);
            ans = min(ans, d1[b]+w+d2[a]+dd2[0]+e[i][3]);
        }
        else{
            auto dd1 = dijkstra(v0, 0), dd2 = dijkstra(v0, n-1);
            ans = min(ans, dd1[n-1]+dd2[0]+e[i][3]);
        }
    }
 
    if(ans >= inf) ans = -1;
    cout << ans << "\n";
 
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 460 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 2 ms 460 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 34 ms 460 KB Output is correct
11 Correct 34 ms 460 KB Output is correct
12 Correct 32 ms 588 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 2 ms 460 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 2 ms 460 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 5196 KB Output is correct
2 Correct 29 ms 5224 KB Output is correct
3 Correct 31 ms 5196 KB Output is correct
4 Correct 3 ms 460 KB Output is correct
5 Correct 2 ms 460 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 20 ms 5296 KB Output is correct
10 Correct 20 ms 5288 KB Output is correct
11 Correct 35 ms 5324 KB Output is correct
12 Correct 28 ms 5280 KB Output is correct
13 Correct 29 ms 5276 KB Output is correct
14 Correct 36 ms 5452 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 460 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 30 ms 4044 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 52 ms 5188 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 18 ms 5316 KB Output is correct
9 Correct 17 ms 5332 KB Output is correct
10 Correct 36 ms 5168 KB Output is correct
11 Correct 40 ms 5152 KB Output is correct
12 Correct 34 ms 5324 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 89 ms 5308 KB Output is correct
20 Correct 50 ms 5252 KB Output is correct
21 Correct 30 ms 5188 KB Output is correct
22 Correct 61 ms 5196 KB Output is correct

Subtask #4
63.0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 460 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 2 ms 460 KB Output is correct
4 Correct 2 ms 460 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 34 ms 460 KB Output is correct
11 Correct 34 ms 460 KB Output is correct
12 Correct 32 ms 588 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 2 ms 460 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 2 ms 460 KB Output is correct
17 Correct 27 ms 5196 KB Output is correct
18 Correct 29 ms 5224 KB Output is correct
19 Correct 31 ms 5196 KB Output is correct
20 Correct 3 ms 460 KB Output is correct
21 Correct 2 ms 460 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 20 ms 5296 KB Output is correct
26 Correct 20 ms 5288 KB Output is correct
27 Correct 35 ms 5324 KB Output is correct
28 Correct 28 ms 5280 KB Output is correct
29 Correct 29 ms 5276 KB Output is correct
30 Correct 36 ms 5452 KB Output is correct
31 Correct 5 ms 460 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 30 ms 4044 KB Output is correct
34 Correct 0 ms 332 KB Output is correct
35 Correct 52 ms 5188 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 18 ms 5316 KB Output is correct
39 Correct 17 ms 5332 KB Output is correct
40 Correct 36 ms 5168 KB Output is correct
41 Correct 40 ms 5152 KB Output is correct
42 Correct 34 ms 5324 KB Output is correct
43 Correct 0 ms 204 KB Output is correct
44 Correct 0 ms 204 KB Output is correct
45 Correct 0 ms 204 KB Output is correct
46 Correct 0 ms 204 KB Output is correct
47 Correct 0 ms 204 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 89 ms 5308 KB Output is correct
50 Correct 50 ms 5252 KB Output is correct
51 Correct 30 ms 5188 KB Output is correct
52 Correct 61 ms 5196 KB Output is correct
53 Correct 25 ms 5164 KB Output is correct
54 Correct 34 ms 5196 KB Output is correct
55 Correct 42 ms 5176 KB Output is correct
56 Correct 2 ms 460 KB Output is correct
57 Correct 2 ms 460 KB Output is correct
58 Correct 254 ms 4152 KB Output is correct
59 Correct 292 ms 4172 KB Output is correct
60 Correct 364 ms 4132 KB Output is correct
61 Correct 257 ms 4132 KB Output is correct
62 Correct 331 ms 4172 KB Output is correct
63 Correct 367 ms 4172 KB Output is correct
64 Correct 730 ms 4312 KB Output is correct
65 Correct 669 ms 4264 KB Output is correct
66 Correct 675 ms 4228 KB Output is correct
67 Correct 17 ms 4792 KB Output is correct
68 Correct 26 ms 6476 KB Output is correct
69 Correct 22 ms 6520 KB Output is correct
70 Correct 32 ms 6364 KB Output is correct
71 Correct 29 ms 6404 KB Output is correct
72 Correct 29 ms 6340 KB Output is correct
73 Correct 34 ms 6420 KB Output is correct
74 Correct 32 ms 6476 KB Output is correct