Submission #839872

# Submission time Handle Problem Language Result Execution time Memory
839872 2023-08-30T19:15:21 Z jtnydv25 Longest Trip (IOI23_longesttrip) C++17
100 / 100
25 ms 416 KB
#include "longesttrip.h"

#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define all(c) ((c).begin()), ((c).end())
#define sz(x) ((int)(x).size())

#ifdef LOCAL
#include <print.h>
#else
#define trace(...)
#define endl "\n" // remove in interactive
#endif

vector<vector<int>>  remove(vector<vector<int>> P, int a, int b){
    vector<vector<int>> ret;
    for(int i = 0; i < sz(P); i++) if(i != a && i != b) ret.push_back(P[i]);
    return ret;
}

vector<int> longest_trip(int n, int d){
    vector<vector<int>> paths;
    
    vector<int> nodes(n), b(n - 1);
    iota(all(nodes), 0);
    random_shuffle(all(nodes));
    for(int i = 0; i < n - 1; i++){
        b[i] = are_connected({nodes[i]}, {nodes[i + 1]});
    }
    vector<int> vis(n);
    for(int i = 0; i < n; i++) if(!vis[i]){
        int j = i;
        vector<int> path;
        while(j < n){
            path.push_back(nodes[j]);
            vis[j] = true;
            if(j == n - 1) break;
            if(j < n - 1 && b[j]){
                j++;
                continue;
            } else if(j < n - 2 && !b[j + 1]){
                j += 2;
                continue;
            }
            break;
        }
        paths.push_back(path);
    }
    if(sz(paths) == 1) return paths[0];
    // for(int i = 0; i < n; i++) paths.push_back({i});
    // return {};
    while(sz(paths) > 2){
        int k = sz(paths);
        int p = rand() % k, q = rand() % k, r = rand() % k;
        while(p == q || q == r || p == r){
            p = rand() % k, q = rand() % k, r = rand() % k;
        }
        int pp = p, qq = q;
        if(!are_connected({paths[p][0]}, {paths[q][0]})){
            if(rand() % 2) swap(p, q);
            if(are_connected({paths[q][0]}, {paths[r][0]})){
                pp = q; qq = r;
            } else{
                // qq = r;
                pp = p; qq = r;
            }
        }
        vector<int> newpath = paths[pp];
        reverse(all(newpath));
        copy(all(paths[qq]), back_inserter(newpath));
        paths = remove(paths, pp, qq);
        paths.push_back(newpath);
    }

    for(int i = 0; i < 2; i++){
        for(int j = 0; j < 2; j++){
            if(are_connected({paths[0][0]}, {paths[1][0]})){
                vector<int> Q = paths[0];
                reverse(all(Q));
                copy(all(paths[1]), back_inserter(Q));
                return Q;
            }
            reverse(all(paths[1]));
        }
        reverse(all(paths[0]));
    }

    vector<int> P = paths[0], Q = paths[1];
    if(are_connected(paths[0], paths[1])){
        for(int i = 0; i < 2; i++){
            while(sz(paths[i]) > 1){
                int k = sz(paths[i]) / 2;
                vector<int> lft(paths[i].begin(), paths[i].begin() + k);
                vector<int> rgt(paths[i].begin() + k, paths[i].end());
                if(are_connected(lft, paths[i ^ 1])){
                    paths[i] = lft;
                } else paths[i] = rgt;
            }
        }
        // assert(are_connected({paths[0][0]}, {paths[1][0]}));
        vector<int> final_path;
        int posP = find(all(P), paths[0][0]) - P.begin();
        int posQ = find(all(Q), paths[1][0]) - Q.begin();
        posP = (posP + 1) % sz(P);
        rotate(P.begin(), P.begin() + posP, P.end());
        rotate(Q.begin(), Q.begin() + posQ, Q.end());
        copy(all(Q), back_inserter(P));
        return P;
    }

    return sz(paths[0]) > sz(paths[1]) ? paths[0] : paths[1];
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 2 ms 308 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 208 KB Output is correct
2 Correct 10 ms 208 KB Output is correct
3 Correct 9 ms 208 KB Output is correct
4 Correct 9 ms 208 KB Output is correct
5 Correct 12 ms 304 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 208 KB Output is correct
2 Correct 9 ms 208 KB Output is correct
3 Correct 10 ms 208 KB Output is correct
4 Correct 9 ms 208 KB Output is correct
5 Correct 7 ms 208 KB Output is correct
6 Correct 12 ms 208 KB Output is correct
7 Correct 9 ms 208 KB Output is correct
8 Correct 9 ms 300 KB Output is correct
9 Correct 8 ms 208 KB Output is correct
10 Correct 6 ms 300 KB Output is correct
11 Correct 7 ms 304 KB Output is correct
12 Correct 11 ms 208 KB Output is correct
13 Correct 9 ms 304 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 208 KB Output is correct
2 Correct 8 ms 208 KB Output is correct
3 Correct 12 ms 208 KB Output is correct
4 Correct 13 ms 336 KB Output is correct
5 Correct 11 ms 300 KB Output is correct
6 Correct 12 ms 208 KB Output is correct
7 Correct 7 ms 208 KB Output is correct
8 Correct 7 ms 208 KB Output is correct
9 Correct 9 ms 208 KB Output is correct
10 Correct 10 ms 304 KB Output is correct
11 Correct 10 ms 308 KB Output is correct
12 Correct 9 ms 292 KB Output is correct
13 Correct 8 ms 308 KB Output is correct
14 Correct 25 ms 208 KB Output is correct
15 Correct 18 ms 208 KB Output is correct
16 Correct 13 ms 208 KB Output is correct
17 Correct 8 ms 208 KB Output is correct
18 Correct 9 ms 208 KB Output is correct
19 Correct 12 ms 208 KB Output is correct
20 Correct 11 ms 208 KB Output is correct
21 Correct 9 ms 336 KB Output is correct
22 Correct 11 ms 332 KB Output is correct
23 Correct 13 ms 336 KB Output is correct
24 Correct 8 ms 400 KB Output is correct
25 Correct 16 ms 256 KB Output is correct
26 Correct 20 ms 208 KB Output is correct
27 Correct 11 ms 256 KB Output is correct
28 Correct 14 ms 208 KB Output is correct
29 Correct 15 ms 208 KB Output is correct
30 Correct 10 ms 208 KB Output is correct
31 Correct 10 ms 208 KB Output is correct
32 Correct 15 ms 208 KB Output is correct
33 Correct 11 ms 208 KB Output is correct
34 Correct 10 ms 208 KB Output is correct
35 Correct 8 ms 208 KB Output is correct
36 Correct 10 ms 208 KB Output is correct
37 Correct 7 ms 208 KB Output is correct
38 Correct 11 ms 340 KB Output is correct
39 Correct 9 ms 344 KB Output is correct
40 Correct 11 ms 336 KB Output is correct
41 Correct 8 ms 320 KB Output is correct
42 Correct 10 ms 336 KB Output is correct
43 Correct 14 ms 304 KB Output is correct
44 Correct 13 ms 304 KB Output is correct
45 Correct 13 ms 208 KB Output is correct
46 Correct 9 ms 208 KB Output is correct
47 Correct 14 ms 208 KB Output is correct
48 Correct 9 ms 208 KB Output is correct
49 Correct 10 ms 208 KB Output is correct
50 Correct 11 ms 304 KB Output is correct
51 Correct 10 ms 208 KB Output is correct
52 Correct 13 ms 316 KB Output is correct
53 Correct 10 ms 208 KB Output is correct
54 Correct 10 ms 208 KB Output is correct
55 Correct 10 ms 340 KB Output is correct
56 Correct 10 ms 208 KB Output is correct
57 Correct 10 ms 208 KB Output is correct
58 Correct 8 ms 336 KB Output is correct
59 Correct 10 ms 336 KB Output is correct
60 Correct 11 ms 300 KB Output is correct
61 Correct 11 ms 344 KB Output is correct
62 Correct 14 ms 336 KB Output is correct
63 Correct 13 ms 344 KB Output is correct
64 Correct 14 ms 300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 208 KB Output is correct
2 Correct 8 ms 208 KB Output is correct
3 Correct 4 ms 208 KB Output is correct
4 Correct 9 ms 296 KB Output is correct
5 Correct 11 ms 416 KB Output is correct
6 Correct 6 ms 208 KB Output is correct
7 Correct 7 ms 208 KB Output is correct
8 Correct 10 ms 304 KB Output is correct
9 Correct 9 ms 280 KB Output is correct
10 Correct 9 ms 292 KB Output is correct
11 Correct 7 ms 208 KB Output is correct
12 Correct 9 ms 308 KB Output is correct
13 Correct 6 ms 208 KB Output is correct
14 Correct 25 ms 208 KB Output is correct
15 Correct 12 ms 208 KB Output is correct
16 Correct 13 ms 208 KB Output is correct
17 Correct 7 ms 308 KB Output is correct
18 Correct 9 ms 208 KB Output is correct
19 Correct 11 ms 300 KB Output is correct
20 Correct 11 ms 300 KB Output is correct
21 Correct 21 ms 208 KB Output is correct
22 Correct 20 ms 208 KB Output is correct
23 Correct 13 ms 208 KB Output is correct
24 Correct 11 ms 208 KB Output is correct
25 Correct 13 ms 208 KB Output is correct
26 Correct 10 ms 208 KB Output is correct
27 Correct 9 ms 208 KB Output is correct
28 Correct 15 ms 316 KB Output is correct
29 Correct 8 ms 208 KB Output is correct
30 Correct 10 ms 224 KB Output is correct
31 Correct 10 ms 208 KB Output is correct
32 Correct 13 ms 208 KB Output is correct
33 Correct 14 ms 208 KB Output is correct
34 Correct 13 ms 208 KB Output is correct
35 Correct 14 ms 208 KB Output is correct
36 Correct 14 ms 208 KB Output is correct
37 Correct 12 ms 336 KB Output is correct
38 Correct 13 ms 208 KB Output is correct
39 Correct 7 ms 296 KB Output is correct
40 Correct 9 ms 208 KB Output is correct
41 Correct 10 ms 208 KB Output is correct
42 Correct 11 ms 208 KB Output is correct
43 Correct 7 ms 328 KB Output is correct
44 Correct 9 ms 332 KB Output is correct
45 Correct 9 ms 336 KB Output is correct
46 Correct 12 ms 208 KB Output is correct
47 Correct 9 ms 208 KB Output is correct
48 Correct 9 ms 256 KB Output is correct
49 Correct 10 ms 340 KB Output is correct
50 Correct 12 ms 348 KB Output is correct
51 Correct 14 ms 352 KB Output is correct
52 Correct 14 ms 356 KB Output is correct
53 Correct 10 ms 336 KB Output is correct
54 Correct 10 ms 324 KB Output is correct
55 Correct 16 ms 336 KB Output is correct
56 Correct 10 ms 208 KB Output is correct
57 Correct 6 ms 368 KB Output is correct
58 Correct 19 ms 336 KB Output is correct
59 Correct 12 ms 340 KB Output is correct
60 Correct 13 ms 344 KB Output is correct
61 Correct 10 ms 360 KB Output is correct
62 Correct 8 ms 208 KB Output is correct
63 Correct 9 ms 328 KB Output is correct
64 Correct 8 ms 336 KB Output is correct
65 Correct 14 ms 308 KB Output is correct
66 Correct 13 ms 344 KB Output is correct
67 Correct 11 ms 336 KB Output is correct
68 Correct 16 ms 336 KB Output is correct
69 Correct 15 ms 340 KB Output is correct
70 Correct 13 ms 348 KB Output is correct
71 Correct 10 ms 316 KB Output is correct
72 Correct 12 ms 324 KB Output is correct
73 Correct 10 ms 340 KB Output is correct
74 Correct 17 ms 352 KB Output is correct
75 Correct 18 ms 340 KB Output is correct
76 Correct 10 ms 320 KB Output is correct
77 Correct 9 ms 256 KB Output is correct
78 Correct 14 ms 336 KB Output is correct
79 Correct 19 ms 344 KB Output is correct
80 Correct 18 ms 348 KB Output is correct
81 Correct 9 ms 340 KB Output is correct
82 Correct 10 ms 340 KB Output is correct