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Submission #1070614

# Submission time Handle Problem Language Result Execution time Memory
1070614 2024-08-22T16:05:49 Z Plurm Longest Trip (IOI23_longesttrip) C++17
85 / 100
 18 ms 864 KB 
#include "longesttrip.h"
#include <bits/stdc++.h>
using namespace std;

int dc_left(vector<int> a, vector<int> b) {
    if (a.size() == 1)
        return a.back();
    vector<int> left(a.begin(), a.begin() + a.size() / 2);
    vector<int> right(a.begin() + a.size() / 2, a.end());
    if (are_connected(left, b))
        return dc_left(left, b);
    else
        return dc_left(right, b);
}

int dc_right(vector<int> a, vector<int> b) {
    if (b.size() == 1)
        return b.back();
    vector<int> left(b.begin(), b.begin() + b.size() / 2);
    vector<int> right(b.begin() + b.size() / 2, b.end());
    if (are_connected(a, left))
        return dc_right(a, left);
    else
        return dc_right(a, right);
}

void join(vector<deque<int>> &comp, int u, int v) {
    int a = -1;
    int b = -1;
    for (int i = 0; i < comp.size(); i++) {
        if (!comp[i].empty()) {
            if (comp[i].front() == u) {
                reverse(comp[i].begin(), comp[i].end());
                a = i;
            } else if (comp[i].back() == u) {
                a = i;
            }
            if (comp[i].front() == v) {
                b = i;
            } else if (comp[i].back() == v) {
                reverse(comp[i].begin(), comp[i].end());
                b = i;
            }
        }
    }
    comp[a].insert(comp[a].end(), comp[b].begin(), comp[b].end());
    comp.erase(comp.begin() + b);
}

vector<int> longest_trip(int N, int D) {
    vector<deque<int>> comp(N);
    for (int i = 0; i < N; i++)
        comp[i].push_back(i);
    set<pair<int, int>> known;
    default_random_engine engine;
    engine.seed(time(NULL));
    while (comp.size() > 2) {
        shuffle(comp.begin(), comp.end(), engine);
        int i = 0;
        int j = 1;
        int k = 2;
        int u = comp[i].back();
        int v = comp[j].back();
        int w = comp[k].back();
        int vv = comp[j].front();
        int ww = comp[k].front();
        if (known.count(minmax(u, v)) + known.count(minmax(v, w)) +
                known.count(minmax(u, w)) ==
            2) {
            if (!known.count(minmax(u, v)))
                join(comp, u, v);
            else if (!known.count(minmax(u, w)))
                join(comp, u, w);
            else
                join(comp, v, w);
            continue;
        }
        swap(v, vv);
        if (known.count(minmax(u, v)) + known.count(minmax(v, w)) +
                known.count(minmax(u, w)) ==
            2) {
            if (!known.count(minmax(u, v)))
                join(comp, u, v);
            else if (!known.count(minmax(u, w)))
                join(comp, u, w);
            else
                join(comp, v, w);
            continue;
        }
        swap(w, ww);
        if (known.count(minmax(u, v)) + known.count(minmax(v, w)) +
                known.count(minmax(u, w)) ==
            2) {
            if (!known.count(minmax(u, v)))
                join(comp, u, v);
            else if (!known.count(minmax(u, w)))
                join(comp, u, w);
            else
                join(comp, v, w);
            continue;
        }
        swap(v, vv);
        if (known.count(minmax(u, v)) + known.count(minmax(v, w)) +
                known.count(minmax(u, w)) ==
            2) {
            if (!known.count(minmax(u, v)))
                join(comp, u, v);
            else if (!known.count(minmax(u, w)))
                join(comp, u, w);
            else
                join(comp, v, w);
            continue;
        }
        if (!known.count(minmax(u, v)) && are_connected({u}, {v})) {
            join(comp, u, v);
        } else if (!known.count(minmax(vv, ww)) && are_connected({vv}, {ww})) {
            known.insert(minmax(u, v));
            join(comp, ww, vv);
        } else {
            known.insert(minmax(u, v));
            known.insert(minmax(vv, ww));
            if (!known.count(minmax(u, w)) && are_connected({u}, {w})) {
                reverse(comp[j].begin(), comp[j].end());
                join(comp, u, w);
            } else {
                reverse(comp[i].begin(), comp[i].end());
                known.insert(minmax(u, w));
                join(comp, v, w);
            }
        }
    }
    if (comp[0].size() < comp[1].size()) {
        swap(comp[0], comp[1]);
    }
    if (are_connected({comp[0].back()}, {comp[1].back()})) {
        reverse(comp[1].begin(), comp[1].end());
        comp[0].insert(comp[0].end(), comp[1].begin(), comp[1].end());
    } else if (are_connected({comp[0].back()}, {comp[1].front()})) {
        comp[0].insert(comp[0].end(), comp[1].begin(), comp[1].end());
    } else if (are_connected({comp[0].front()}, {comp[1].front()})) {
        reverse(comp[0].begin(), comp[0].end());
        comp[0].insert(comp[0].end(), comp[1].begin(), comp[1].end());
    } else if (are_connected({comp[0].front()}, {comp[1].back()})) {
        reverse(comp[0].begin(), comp[0].end());
        reverse(comp[1].begin(), comp[1].end());
        comp[0].insert(comp[0].end(), comp[1].begin(), comp[1].end());
    } else if (are_connected(vector<int>(comp[0].begin(), comp[0].end()),
                             vector<int>(comp[1].begin(), comp[1].end()))) {
        // two cycles, connected
        int l = dc_left(vector<int>(comp[0].begin(), comp[0].end()),
                        vector<int>(comp[1].begin(), comp[1].end()));
        int r = dc_right({l}, vector<int>(comp[1].begin(), comp[1].end()));
        int l_idx = find(comp[0].begin(), comp[0].end(), l) - comp[0].begin();
        int r_idx = find(comp[1].begin(), comp[1].end(), r) - comp[1].begin();
        vector<int> ret;
        for (int i = 0; i < comp[0].size(); i++)
            ret.push_back(comp[0][(l_idx + 1 + i) % comp[0].size()]);
        for (int i = 0; i < comp[1].size(); i++)
            ret.push_back(comp[1][(r_idx + i) % comp[1].size()]);
        return ret;
    }
    return vector<int>(comp[0].begin(), comp[0].end());
}

Compilation message

longesttrip.cpp: In function 'void join(std::vector<std::deque<int> >&, int, int)':
longesttrip.cpp:30:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::deque<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   30 |     for (int i = 0; i < comp.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
longesttrip.cpp: In function 'std::vector<int> longest_trip(int, int)':
longesttrip.cpp:156:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::deque<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  156 |         for (int i = 0; i < comp[0].size(); i++)
      |                         ~~^~~~~~~~~~~~~~~~
longesttrip.cpp:158:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::deque<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  158 |         for (int i = 0; i < comp[1].size(); i++)
      |                         ~~^~~~~~~~~~~~~~~~

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 600 KB Output is correct

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 340 KB Output is correct
2 Correct 6 ms 344 KB Output is correct
3 Correct 6 ms 344 KB Output is correct
4 Correct 8 ms 344 KB Output is correct
5 Correct 8 ms 600 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 344 KB Output is correct
2 Correct 5 ms 344 KB Output is correct
3 Correct 7 ms 344 KB Output is correct
4 Correct 8 ms 344 KB Output is correct
5 Correct 10 ms 600 KB Output is correct
6 Correct 9 ms 344 KB Output is correct
7 Correct 9 ms 344 KB Output is correct
8 Correct 9 ms 344 KB Output is correct
9 Correct 7 ms 344 KB Output is correct
10 Correct 10 ms 600 KB Output is correct
11 Correct 8 ms 600 KB Output is correct
12 Correct 11 ms 604 KB Output is correct
13 Correct 9 ms 600 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 344 KB Output is correct
2 Correct 8 ms 344 KB Output is correct
3 Correct 6 ms 344 KB Output is correct
4 Correct 7 ms 344 KB Output is correct
5 Correct 9 ms 604 KB Output is correct
6 Correct 10 ms 344 KB Output is correct
7 Correct 6 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 608 KB Output is correct
11 Correct 9 ms 608 KB Output is correct
12 Correct 8 ms 600 KB Output is correct
13 Correct 11 ms 608 KB Output is correct
14 Correct 17 ms 344 KB Output is correct
15 Correct 9 ms 344 KB Output is correct
16 Correct 12 ms 344 KB Output is correct
17 Correct 10 ms 344 KB Output is correct
18 Correct 8 ms 344 KB Output is correct
19 Correct 8 ms 600 KB Output is correct
20 Correct 7 ms 504 KB Output is correct
21 Correct 9 ms 852 KB Output is correct
22 Correct 13 ms 600 KB Output is correct
23 Correct 9 ms 856 KB Output is correct
24 Correct 10 ms 600 KB Output is correct
25 Correct 17 ms 344 KB Output is correct
26 Correct 13 ms 344 KB Output is correct
27 Correct 12 ms 344 KB Output is correct
28 Correct 9 ms 596 KB Output is correct
29 Correct 10 ms 344 KB Output is correct
30 Correct 11 ms 600 KB Output is correct
31 Correct 9 ms 344 KB Output is correct
32 Correct 11 ms 612 KB Output is correct
33 Correct 7 ms 504 KB Output is correct
34 Correct 11 ms 504 KB Output is correct
35 Correct 9 ms 344 KB Output is correct
36 Correct 9 ms 600 KB Output is correct
37 Correct 10 ms 600 KB Output is correct
38 Correct 12 ms 600 KB Output is correct
39 Correct 11 ms 600 KB Output is correct
40 Correct 11 ms 596 KB Output is correct
41 Correct 13 ms 600 KB Output is correct
42 Correct 13 ms 600 KB Output is correct
43 Correct 12 ms 600 KB Output is correct
44 Correct 18 ms 600 KB Output is correct
45 Correct 8 ms 344 KB Output is correct
46 Correct 8 ms 344 KB Output is correct
47 Correct 10 ms 344 KB Output is correct
48 Correct 6 ms 344 KB Output is correct
49 Correct 9 ms 344 KB Output is correct
50 Correct 7 ms 344 KB Output is correct
51 Correct 12 ms 344 KB Output is correct
52 Correct 10 ms 344 KB Output is correct
53 Correct 9 ms 500 KB Output is correct
54 Correct 9 ms 344 KB Output is correct
55 Correct 10 ms 344 KB Output is correct
56 Correct 10 ms 600 KB Output is correct
57 Correct 12 ms 616 KB Output is correct
58 Correct 12 ms 600 KB Output is correct
59 Correct 14 ms 856 KB Output is correct
60 Correct 14 ms 600 KB Output is correct
61 Correct 13 ms 600 KB Output is correct
62 Correct 13 ms 600 KB Output is correct
63 Correct 13 ms 600 KB Output is correct
64 Correct 13 ms 600 KB Output is correct

Subtask #4
45.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 344 KB Output is correct
2 Correct 5 ms 344 KB Output is correct
3 Correct 9 ms 344 KB Output is correct
4 Correct 9 ms 344 KB Output is correct
5 Correct 9 ms 600 KB Output is correct
6 Correct 11 ms 344 KB Output is correct
7 Correct 7 ms 340 KB Output is correct
8 Correct 6 ms 344 KB Output is correct
9 Correct 7 ms 344 KB Output is correct
10 Correct 12 ms 600 KB Output is correct
11 Correct 11 ms 608 KB Output is correct
12 Correct 11 ms 600 KB Output is correct
13 Correct 8 ms 600 KB Output is correct
14 Correct 14 ms 344 KB Output is correct
15 Correct 11 ms 340 KB Output is correct
16 Correct 9 ms 344 KB Output is correct
17 Correct 9 ms 600 KB Output is correct
18 Correct 10 ms 340 KB Output is correct
19 Correct 11 ms 344 KB Output is correct
20 Correct 7 ms 344 KB Output is correct
21 Correct 12 ms 344 KB Output is correct
22 Correct 12 ms 344 KB Output is correct
23 Correct 9 ms 344 KB Output is correct
24 Correct 9 ms 344 KB Output is correct
25 Correct 8 ms 344 KB Output is correct
26 Correct 7 ms 344 KB Output is correct
27 Correct 10 ms 344 KB Output is correct
28 Correct 10 ms 344 KB Output is correct
29 Correct 7 ms 344 KB Output is correct
30 Correct 8 ms 600 KB Output is correct
31 Correct 9 ms 340 KB Output is correct
32 Correct 13 ms 344 KB Output is correct
33 Correct 10 ms 344 KB Output is correct
34 Correct 9 ms 344 KB Output is correct
35 Correct 9 ms 344 KB Output is correct
36 Correct 9 ms 344 KB Output is correct
37 Correct 10 ms 344 KB Output is correct
38 Correct 12 ms 484 KB Output is correct
39 Correct 11 ms 344 KB Output is correct
40 Correct 7 ms 344 KB Output is correct
41 Correct 9 ms 344 KB Output is correct
42 Correct 9 ms 344 KB Output is correct
43 Correct 9 ms 608 KB Output is correct
44 Correct 9 ms 600 KB Output is correct
45 Correct 10 ms 600 KB Output is correct
46 Correct 10 ms 600 KB Output is correct
47 Correct 9 ms 600 KB Output is correct
48 Correct 11 ms 600 KB Output is correct
49 Partially correct 11 ms 600 KB Output is partially correct
50 Partially correct 12 ms 600 KB Output is partially correct
51 Partially correct 13 ms 608 KB Output is partially correct
52 Partially correct 13 ms 596 KB Output is partially correct
53 Partially correct 14 ms 600 KB Output is partially correct
54 Partially correct 13 ms 600 KB Output is partially correct
55 Partially correct 13 ms 600 KB Output is partially correct
56 Correct 10 ms 600 KB Output is correct
57 Partially correct 15 ms 864 KB Output is partially correct
58 Partially correct 12 ms 600 KB Output is partially correct
59 Partially correct 14 ms 600 KB Output is partially correct
60 Partially correct 13 ms 600 KB Output is partially correct
61 Partially correct 18 ms 600 KB Output is partially correct
62 Correct 9 ms 600 KB Output is correct
63 Correct 12 ms 856 KB Output is correct
64 Partially correct 12 ms 600 KB Output is partially correct
65 Partially correct 13 ms 600 KB Output is partially correct
66 Partially correct 13 ms 600 KB Output is partially correct
67 Partially correct 18 ms 600 KB Output is partially correct
68 Partially correct 13 ms 600 KB Output is partially correct
69 Partially correct 13 ms 612 KB Output is partially correct
70 Partially correct 16 ms 600 KB Output is partially correct
71 Correct 11 ms 600 KB Output is correct
72 Partially correct 13 ms 600 KB Output is partially correct
73 Partially correct 13 ms 608 KB Output is partially correct
74 Partially correct 12 ms 600 KB Output is partially correct
75 Partially correct 18 ms 856 KB Output is partially correct
76 Partially correct 14 ms 600 KB Output is partially correct
77 Correct 14 ms 612 KB Output is correct
78 Partially correct 11 ms 600 KB Output is partially correct
79 Partially correct 13 ms 600 KB Output is partially correct
80 Partially correct 15 ms 600 KB Output is partially correct
81 Partially correct 13 ms 600 KB Output is partially correct
82 Partially correct 14 ms 856 KB Output is partially correct