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Submission #699468

# Submission time Handle Problem Language Result Execution time Memory
699468 2023-02-17T04:09:02 Z Cross_Ratio Olympic Bus (JOI20_ho_t4) C++14
100 / 100
 189 ms 5580 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int INF = 1e18;
int dis[205][205];
array<int, 4> Edge[50005];
vector<array<int, 3>> adj1[205];
int dist[205];
bool vis[205];
int adj[205][205];
int opt[205];
signed main() {
    cin.sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int N, M;
    cin >> N >> M;
    int i, j;
    clock_t st = clock();
    for(i=0;i<N;i++) {
        for(j=0;j<N;j++) dis[i][j] = INF;
        dis[i][i] = 0;
    }
    for(i=0;i<M;i++) {
        int a, b, c, d;
        //a = rand()%N+1, b = rand()%N+1, c = rand(), d = rand();
        cin >> a >> b >> c >> d;
        Edge[i] = {a-1, b-1, c, d};
        dis[a-1][b-1] = min(dis[a-1][b-1], c);
    }
    for(int k = 0; k < N; k++) {
        for(i=0;i<N;i++) {
            for(j=0;j<N;j++) {
                dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]);
            }
        }
    }
    for(i=0;i<M;i++) {
        adj1[Edge[i][0]].push_back({Edge[i][1], i});
    }
    set<int> S;
    for(i=0;i<N;i++) dist[i] = INF;
    for(i=0;i<N;i++) vis[i] = false;
    dist[0] = 0;
    priority_queue<array<int, 2>, vector<array<int, 2>>, greater<array<int,2>>> PQ;
    PQ.push({0, 0});
    while(!PQ.empty()) {
        auto k = PQ.top();
        PQ.pop();
        int id = k[1];
        if(vis[id]) continue;
        vis[id] = true;
        for(auto n : adj1[id]) {
            if(dist[n[0]] > dist[id] + Edge[n[1]][2]) {
                dist[n[0]] = dist[id] + Edge[n[1]][2];
                opt[n[0]] = n[1];
                PQ.push({dist[n[0]], n[0]});
            }
        }
    }
    for(i=0;i<N;i++) vis[i] = false;
    int pt = N-1;
    if(dist[N-1]!=INF) {
        while(pt != 0) {
            S.insert(opt[pt]);
            pt = Edge[opt[pt]][0];
        }
    }
    for(i=0;i<N;i++) dist[i] = INF;
    for(i=0;i<N;i++) vis[i] = false;
    dist[N-1] = 0;
    PQ = priority_queue<array<int, 2>, vector<array<int, 2>>, greater<array<int,2>>> {};
    PQ.push({0, N-1});
    while(!PQ.empty()) {
        auto k = PQ.top();
        PQ.pop();
        int id = k[1];
        if(vis[id]) continue;
        vis[id] = true;
        for(auto n : adj1[id]) {
            if(dist[n[0]] > dist[id] + Edge[n[1]][2]) {
                dist[n[0]] = dist[id] + Edge[n[1]][2];
                opt[n[0]] = n[1];
                PQ.push({dist[n[0]], n[0]});
            }
        }
    }
    for(i=0;i<N;i++) vis[i] = false;
    pt = 0;
    if(dist[0]!=INF) {
        while(pt != N-1) {
            S.insert(opt[pt]);
            pt = Edge[opt[pt]][0];
        }
    }
    int mi = dis[0][N-1] + dis[N-1][0];
    for(i=0;i<M;i++) {
        if(S.find(i) != S.end()) continue;
        int val = Edge[i][3];
        int d1 = dis[0][N-1], d2 = dis[N-1][0];
        int a = Edge[i][0], b = Edge[i][1], c = Edge[i][2];
        d1 = min(d1, dis[0][b] + c + dis[a][N-1]);
        d2 = min(d2, dis[N-1][b] + c + dis[a][0]);
        mi = min(mi, val + d1 + d2);
        //cout << i << " : " << val << ' ' << d1 << ' ' << d2 << '\n';
    }
    assert(S.size() < 2*N);
    for(int n : S) {
        int val = Edge[n][3];
        for(i=0;i<N;i++) {
            for(j=0;j<N;j++) adj[i][j] = INF;
            adj[i][i] = 0;
        }
        for(i=0;i<M;i++) {
            if(i==n) {
                adj[Edge[i][1]][Edge[i][0]] = min(adj[Edge[i][1]][Edge[i][0]], Edge[i][2]);
            }
            else adj[Edge[i][0]][Edge[i][1]] = min(adj[Edge[i][0]][Edge[i][1]], Edge[i][2]);
        }
        for(i=0;i<N;i++) vis[i] = false;
        for(i=0;i<N;i++) dist[i] = INF;
        dist[0] = 0;
        while(true) {
            int mi = INF, pt = -1;
            for(i=0;i<N;i++) {
                if(!vis[i] && mi > dist[i]) {
                    mi = dist[i];
                    pt = i;
                }
            }
            if(pt == -1) break;
            vis[pt] = true;
            for(i=0;i<N;i++) {
                if(dist[i] > dist[pt] + adj[pt][i]) {
                    dist[i] = dist[pt] + adj[pt][i];
                }
            }
        }
        if(dist[N-1]==INF) continue;
        val += dist[N-1];
        for(i=0;i<N;i++) vis[i] = false;
        for(i=0;i<N;i++) dist[i] = INF;
        dist[N-1] = 0;
        while(true) {
            int mi = INF, pt = -1;
            for(i=0;i<N;i++) {
                if(!vis[i] && mi > dist[i]) {
                    mi = dist[i];
                    pt = i;
                }
            }
            if(pt == -1) break;
            vis[pt] = true;
            for(i=0;i<N;i++) {
                if(dist[i] > dist[pt] + adj[pt][i]) {
                    dist[i] = dist[pt] + adj[pt][i];
                }
            }
        }
        if(dist[0]==INF) continue;
        val += dist[0];
        mi = min(mi, val);
    }
    cout << (mi <= 1e17 ? mi : -1);
    //cout << '\n' << clock() - st <<"ms";
}

Compilation message

In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from ho_t4.cpp:1:
ho_t4.cpp: In function 'int main()':
ho_t4.cpp:107:21: warning: comparison of integer expressions of different signedness: 'std::set<long long int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
  107 |     assert(S.size() < 2*N);
      |            ~~~~~~~~~^~~~~
ho_t4.cpp:19:13: warning: unused variable 'st' [-Wunused-variable]
   19 |     clock_t st = clock();
      |             ^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 980 KB Output is correct
2 Correct 8 ms 596 KB Output is correct
3 Correct 11 ms 980 KB Output is correct
4 Correct 14 ms 972 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 11 ms 676 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 70 ms 1100 KB Output is correct
11 Correct 96 ms 1076 KB Output is correct
12 Correct 103 ms 1072 KB Output is correct
13 Correct 10 ms 716 KB Output is correct
14 Correct 11 ms 988 KB Output is correct
15 Correct 9 ms 980 KB Output is correct
16 Correct 11 ms 972 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 4356 KB Output is correct
2 Correct 30 ms 4424 KB Output is correct
3 Correct 30 ms 4308 KB Output is correct
4 Correct 11 ms 1108 KB Output is correct
5 Correct 13 ms 980 KB Output is correct
6 Correct 11 ms 680 KB Output is correct
7 Correct 12 ms 672 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 25 ms 4092 KB Output is correct
10 Correct 25 ms 4148 KB Output is correct
11 Correct 29 ms 4308 KB Output is correct
12 Correct 30 ms 4400 KB Output is correct
13 Correct 30 ms 4528 KB Output is correct
14 Correct 29 ms 4652 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 952 KB Output is correct
2 Correct 8 ms 980 KB Output is correct
3 Correct 23 ms 4184 KB Output is correct
4 Correct 12 ms 596 KB Output is correct
5 Correct 33 ms 5272 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 24 ms 4920 KB Output is correct
9 Correct 23 ms 5076 KB Output is correct
10 Correct 25 ms 5324 KB Output is correct
11 Correct 25 ms 5148 KB Output is correct
12 Correct 26 ms 5432 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 29 ms 5432 KB Output is correct
20 Correct 32 ms 5220 KB Output is correct
21 Correct 25 ms 5320 KB Output is correct
22 Correct 25 ms 5148 KB Output is correct

Subtask #4
63.0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 980 KB Output is correct
2 Correct 8 ms 596 KB Output is correct
3 Correct 11 ms 980 KB Output is correct
4 Correct 14 ms 972 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 11 ms 676 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 70 ms 1100 KB Output is correct
11 Correct 96 ms 1076 KB Output is correct
12 Correct 103 ms 1072 KB Output is correct
13 Correct 10 ms 716 KB Output is correct
14 Correct 11 ms 988 KB Output is correct
15 Correct 9 ms 980 KB Output is correct
16 Correct 11 ms 972 KB Output is correct
17 Correct 28 ms 4356 KB Output is correct
18 Correct 30 ms 4424 KB Output is correct
19 Correct 30 ms 4308 KB Output is correct
20 Correct 11 ms 1108 KB Output is correct
21 Correct 13 ms 980 KB Output is correct
22 Correct 11 ms 680 KB Output is correct
23 Correct 12 ms 672 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 25 ms 4092 KB Output is correct
26 Correct 25 ms 4148 KB Output is correct
27 Correct 29 ms 4308 KB Output is correct
28 Correct 30 ms 4400 KB Output is correct
29 Correct 30 ms 4528 KB Output is correct
30 Correct 29 ms 4652 KB Output is correct
31 Correct 11 ms 952 KB Output is correct
32 Correct 8 ms 980 KB Output is correct
33 Correct 23 ms 4184 KB Output is correct
34 Correct 12 ms 596 KB Output is correct
35 Correct 33 ms 5272 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 24 ms 4920 KB Output is correct
39 Correct 23 ms 5076 KB Output is correct
40 Correct 25 ms 5324 KB Output is correct
41 Correct 25 ms 5148 KB Output is correct
42 Correct 26 ms 5432 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 0 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 29 ms 5432 KB Output is correct
50 Correct 32 ms 5220 KB Output is correct
51 Correct 25 ms 5320 KB Output is correct
52 Correct 25 ms 5148 KB Output is correct
53 Correct 29 ms 5260 KB Output is correct
54 Correct 35 ms 5340 KB Output is correct
55 Correct 32 ms 5452 KB Output is correct
56 Correct 11 ms 992 KB Output is correct
57 Correct 10 ms 980 KB Output is correct
58 Correct 119 ms 4460 KB Output is correct
59 Correct 137 ms 4396 KB Output is correct
60 Correct 189 ms 4464 KB Output is correct
61 Correct 141 ms 4408 KB Output is correct
62 Correct 137 ms 4456 KB Output is correct
63 Correct 181 ms 4432 KB Output is correct
64 Correct 141 ms 4716 KB Output is correct
65 Correct 153 ms 4700 KB Output is correct
66 Correct 184 ms 4640 KB Output is correct
67 Correct 16 ms 4160 KB Output is correct
68 Correct 26 ms 5300 KB Output is correct
69 Correct 27 ms 5196 KB Output is correct
70 Correct 31 ms 5580 KB Output is correct
71 Correct 30 ms 5300 KB Output is correct
72 Correct 29 ms 5392 KB Output is correct
73 Correct 29 ms 5516 KB Output is correct
74 Correct 37 ms 5452 KB Output is correct