oj.uz

Submission #1030306

# Submission time Handle Problem Language Result Execution time Memory
1030306 2024-07-22T02:29:11 Z Agreb Longest Trip (IOI23_longesttrip) C++17
85 / 100
 25 ms 700 KB 
#include <bits/stdc++.h>
#include "longesttrip.h"
using namespace std;

int binary_search(vector <int> & path, int v){
    int l = -1, r = (int)path.size()-1;
    while (r-l > 1){
        int m = (l + r) / 2;
        vector <int> cur(m+1);
        for (int i = 0; i <= m; i++) cur[i] = path[i];
        if (are_connected(cur, {v})) r = m;
        else l = m;
    }
    return r;
}

vector <int> longest_trip(int N, int D){
    vector <int> path, clique, used(N);
    for (int i = 0; i <= 2; i++){
        for (int j = 0; j < i; j++){
            if (are_connected({i}, {j})){
                path = {i, j};
                used[i] = used[j] = 1;
                break;
            }
        }
        if (!path.empty()) break;
    }

    vector <int> non_edge;
    mt19937 rnd(239);
    for (int v = 0; v < N; v++){
        if (used[v]) continue;

        if (rnd() % 2) reverse(path.begin(), path.end());
        int P = path.size();
        int C = clique.size();
        int st = path[0], fin = path[P-1];

        // cout << v << endl;
        // for (int x : path) cout << x << " ";
        // cout << endl;
        // for (int y : clique) cout << y << endl;
        // cout << endl;

        if (!clique.empty()){
            int cp = are_connected(path, {v});
            int cc = are_connected(clique, {v});
            if (cp && cc){
                non_edge = {clique[0], path[0]};

                int ip = binary_search(path, v);
                int ic = binary_search(clique, v);

                vector <int> npath;
                for (int j = 0; j < P; j++) npath.push_back(path[(j+ip+1)%P]);
                npath.push_back(v);
                for (int j = 0; j < C; j++) npath.push_back(clique[(j+ic)%C]);
                path = npath;
                clique.clear();
                continue;
            }
            else if (cc){
                clique.push_back(v);
                continue;
            }
            else if (cp){
                path.push_back(v);
                continue;
            }
        }

        if (!non_edge.empty()){
            if (are_connected({st}, {fin})){
                int u = (are_connected({non_edge[0]}, {v}) ? non_edge[0] : non_edge[1]); 
                int i = -1;
                for (int ii = 0; ii < P; ii++)
                    if (path[ii] == u) i = ii;
                             
                vector <int> npath;
                for (int j = 0; j < P; j++) 
                    npath.push_back(path[(j+i+1)%P]);
                npath.push_back(v);
                path = npath;
                continue;
            }
            else{
                if (are_connected({st}, {v})){
                    reverse(path.begin(), path.end());
                    path.push_back(v);
                    continue;
                }
                else{
                    path.push_back(v);
                    continue;
                }
            }
        }

        if (are_connected({st}, {v})){
            reverse(path.begin(), path.end());
            path.push_back(v);
            continue;
        }

        if (!are_connected(path, {v})){
            clique.push_back(v);
            continue;
        }

        if (non_edge.empty()) non_edge = {st, v};   
        
        if (are_connected({fin}, {v})){
            path.push_back(v);
            continue;
        }     

        int i = binary_search(path, v);
        vector <int> npath;
        for (int j = 0; j < P; j++) 
            npath.push_back(path[(j+i+1)%P]);
        npath.push_back(v);
        path = npath;
    }
    assert(path.size() + clique.size() == N);
    if (path.size() >= clique.size()) return path;
    else return clique;
}

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 longesttrip.cpp:1:
longesttrip.cpp: In function 'std::vector<int> longest_trip(int, int)':
longesttrip.cpp:125:40: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  125 |     assert(path.size() + clique.size() == N);
      |            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 3 ms 344 KB Output is correct

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 344 KB Output is correct
2 Correct 8 ms 344 KB Output is correct
3 Correct 4 ms 344 KB Output is correct
4 Correct 6 ms 344 KB Output is correct
5 Correct 6 ms 344 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 344 KB Output is correct
2 Correct 5 ms 344 KB Output is correct
3 Correct 5 ms 344 KB Output is correct
4 Correct 8 ms 344 KB Output is correct
5 Correct 6 ms 344 KB Output is correct
6 Correct 10 ms 344 KB Output is correct
7 Correct 7 ms 344 KB Output is correct
8 Correct 9 ms 600 KB Output is correct
9 Correct 7 ms 344 KB Output is correct
10 Correct 8 ms 448 KB Output is correct
11 Correct 8 ms 600 KB Output is correct
12 Correct 7 ms 600 KB Output is correct
13 Correct 6 ms 600 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 344 KB Output is correct
2 Correct 5 ms 368 KB Output is correct
3 Correct 5 ms 344 KB Output is correct
4 Correct 6 ms 344 KB Output is correct
5 Correct 5 ms 344 KB Output is correct
6 Correct 7 ms 344 KB Output is correct
7 Correct 7 ms 344 KB Output is correct
8 Correct 7 ms 344 KB Output is correct
9 Correct 7 ms 344 KB Output is correct
10 Correct 9 ms 344 KB Output is correct
11 Correct 6 ms 340 KB Output is correct
12 Correct 6 ms 444 KB Output is correct
13 Correct 8 ms 344 KB Output is correct
14 Correct 9 ms 344 KB Output is correct
15 Correct 8 ms 344 KB Output is correct
16 Correct 8 ms 344 KB Output is correct
17 Correct 8 ms 432 KB Output is correct
18 Correct 9 ms 432 KB Output is correct
19 Correct 8 ms 344 KB Output is correct
20 Correct 10 ms 440 KB Output is correct
21 Correct 10 ms 344 KB Output is correct
22 Correct 10 ms 452 KB Output is correct
23 Correct 11 ms 600 KB Output is correct
24 Correct 13 ms 600 KB Output is correct
25 Correct 7 ms 344 KB Output is correct
26 Correct 10 ms 344 KB Output is correct
27 Correct 8 ms 344 KB Output is correct
28 Correct 9 ms 344 KB Output is correct
29 Correct 7 ms 344 KB Output is correct
30 Correct 8 ms 344 KB Output is correct
31 Correct 11 ms 344 KB Output is correct
32 Correct 13 ms 344 KB Output is correct
33 Correct 11 ms 344 KB Output is correct
34 Correct 8 ms 340 KB Output is correct
35 Correct 12 ms 344 KB Output is correct
36 Correct 20 ms 344 KB Output is correct
37 Correct 21 ms 344 KB Output is correct
38 Correct 25 ms 344 KB Output is correct
39 Correct 16 ms 344 KB Output is correct
40 Correct 20 ms 344 KB Output is correct
41 Correct 17 ms 344 KB Output is correct
42 Correct 16 ms 344 KB Output is correct
43 Correct 20 ms 700 KB Output is correct
44 Correct 24 ms 600 KB Output is correct
45 Correct 7 ms 344 KB Output is correct
46 Correct 9 ms 344 KB Output is correct
47 Correct 9 ms 344 KB Output is correct
48 Correct 9 ms 344 KB Output is correct
49 Correct 9 ms 344 KB Output is correct
50 Correct 9 ms 600 KB Output is correct
51 Correct 12 ms 344 KB Output is correct
52 Correct 13 ms 344 KB Output is correct
53 Correct 10 ms 600 KB Output is correct
54 Correct 11 ms 344 KB Output is correct
55 Correct 11 ms 344 KB Output is correct
56 Correct 6 ms 344 KB Output is correct
57 Correct 10 ms 344 KB Output is correct
58 Correct 13 ms 444 KB Output is correct
59 Correct 21 ms 600 KB Output is correct
60 Correct 14 ms 344 KB Output is correct
61 Correct 10 ms 344 KB Output is correct
62 Correct 13 ms 448 KB Output is correct
63 Correct 16 ms 344 KB Output is correct
64 Correct 18 ms 344 KB Output is correct

Subtask #4
45.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 344 KB Output is correct
2 Correct 5 ms 344 KB Output is correct
3 Correct 4 ms 344 KB Output is correct
4 Correct 5 ms 344 KB Output is correct
5 Correct 4 ms 344 KB Output is correct
6 Correct 7 ms 344 KB Output is correct
7 Correct 7 ms 344 KB Output is correct
8 Correct 7 ms 344 KB Output is correct
9 Correct 6 ms 344 KB Output is correct
10 Partially correct 8 ms 464 KB Output is partially correct
11 Partially correct 7 ms 600 KB Output is partially correct
12 Partially correct 7 ms 600 KB Output is partially correct
13 Partially correct 7 ms 440 KB Output is partially correct
14 Correct 8 ms 344 KB Output is correct
15 Correct 9 ms 344 KB Output is correct
16 Correct 10 ms 344 KB Output is correct
17 Correct 9 ms 344 KB Output is correct
18 Correct 12 ms 444 KB Output is correct
19 Correct 9 ms 344 KB Output is correct
20 Correct 12 ms 600 KB Output is correct
21 Correct 8 ms 344 KB Output is correct
22 Correct 13 ms 344 KB Output is correct
23 Correct 7 ms 344 KB Output is correct
24 Correct 8 ms 344 KB Output is correct
25 Correct 8 ms 344 KB Output is correct
26 Correct 8 ms 344 KB Output is correct
27 Correct 11 ms 344 KB Output is correct
28 Correct 11 ms 344 KB Output is correct
29 Correct 10 ms 344 KB Output is correct
30 Correct 9 ms 344 KB Output is correct
31 Correct 11 ms 344 KB Output is correct
32 Correct 8 ms 344 KB Output is correct
33 Correct 8 ms 344 KB Output is correct
34 Correct 13 ms 344 KB Output is correct
35 Correct 8 ms 344 KB Output is correct
36 Correct 9 ms 344 KB Output is correct
37 Correct 6 ms 344 KB Output is correct
38 Correct 10 ms 340 KB Output is correct
39 Correct 11 ms 344 KB Output is correct
40 Correct 10 ms 440 KB Output is correct
41 Correct 10 ms 344 KB Output is correct
42 Correct 10 ms 344 KB Output is correct
43 Partially correct 10 ms 344 KB Output is partially correct
44 Partially correct 10 ms 344 KB Output is partially correct
45 Partially correct 10 ms 456 KB Output is partially correct
46 Partially correct 10 ms 344 KB Output is partially correct
47 Partially correct 19 ms 344 KB Output is partially correct
48 Partially correct 21 ms 456 KB Output is partially correct
49 Partially correct 21 ms 600 KB Output is partially correct
50 Partially correct 18 ms 344 KB Output is partially correct
51 Partially correct 15 ms 344 KB Output is partially correct
52 Partially correct 16 ms 344 KB Output is partially correct
53 Partially correct 20 ms 344 KB Output is partially correct
54 Partially correct 16 ms 344 KB Output is partially correct
55 Partially correct 21 ms 600 KB Output is partially correct
56 Partially correct 18 ms 600 KB Output is partially correct
57 Partially correct 17 ms 344 KB Output is partially correct
58 Partially correct 18 ms 344 KB Output is partially correct
59 Partially correct 16 ms 612 KB Output is partially correct
60 Partially correct 21 ms 344 KB Output is partially correct
61 Partially correct 18 ms 344 KB Output is partially correct
62 Correct 7 ms 344 KB Output is correct
63 Partially correct 12 ms 344 KB Output is partially correct
64 Partially correct 15 ms 344 KB Output is partially correct
65 Partially correct 18 ms 600 KB Output is partially correct
66 Partially correct 17 ms 600 KB Output is partially correct
67 Partially correct 11 ms 344 KB Output is partially correct
68 Partially correct 14 ms 600 KB Output is partially correct
69 Partially correct 18 ms 344 KB Output is partially correct
70 Partially correct 12 ms 344 KB Output is partially correct
71 Partially correct 12 ms 344 KB Output is partially correct
72 Partially correct 11 ms 344 KB Output is partially correct
73 Partially correct 12 ms 432 KB Output is partially correct
74 Partially correct 17 ms 440 KB Output is partially correct
75 Partially correct 11 ms 344 KB Output is partially correct
76 Partially correct 17 ms 344 KB Output is partially correct
77 Partially correct 18 ms 444 KB Output is partially correct
78 Partially correct 16 ms 600 KB Output is partially correct
79 Partially correct 11 ms 452 KB Output is partially correct
80 Partially correct 15 ms 596 KB Output is partially correct
81 Partially correct 17 ms 432 KB Output is partially correct
82 Partially correct 14 ms 592 KB Output is partially correct