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Submission #980390

# Submission time Handle Problem Language Result Execution time Memory
980390 2024-05-12T06:59:02 Z Seb Longest Trip (IOI23_longesttrip) C++17
40 / 100
 18 ms 1364 KB 
#include "longesttrip.h"
#include <bits/stdc++.h>

#include <vector>
#define MP make_pair
#define f first
#define s second
#define mid ((l+r)>>1)
typedef long long ll;
using namespace std;

mt19937_64 rnd(chrono::steady_clock::now().time_since_epoch().count());

const int INF = (int)1e6;

vector <int> auxa,auxb;

bool conectados(int A, int B) {
    auxa.clear(); auxb.clear();
    auxa.push_back(A);
    auxb.push_back(B);
    return are_connected(auxa,auxb);
}

struct linea{
    deque <int> lin;
    linea(){}
    linea(int A) {
        lin.push_front(A);
    }
    void unir(linea &B, int NB, int NA) {
        if (NA == lin.front() && NB == B.lin.front()) {
            while (!B.lin.empty()) {
                lin.push_front(B.lin.front());
                B.lin.pop_front();
            }
            return;
        }
        if (NA == lin.front() && NB == B.lin.back()) {
            while (!B.lin.empty()) {
                lin.push_front(B.lin.back());
                B.lin.pop_back();
            }
            return;
        }
        if (NA == lin.back() && NB == B.lin.front()) {
            while (!B.lin.empty()) {
                lin.push_back(B.lin.front());
                B.lin.pop_front();
            }
            return;
        }
        if (NA == lin.back() && NB == B.lin.back()) {
            while (!B.lin.empty()) {
                lin.push_back(B.lin.back());
                B.lin.pop_back();
            }
            return;
        }
        return;
    }
};

vector <int> caso_base(int N) {
    auxa.clear();
    auxa.push_back(0);
    if (conectados(0, 1)) auxa.push_back(1);
    return auxa;
}

void dfs(int nodo, vector <bool> &vis, vector <vector<int>> &g, vector <int> &ans, int anc1, int anc2) {
    ans.push_back(nodo);
    if (ans.size() > 1) {
        anc1 = -1;
        anc2 = -1;
    }
    vis[nodo] = true;
    for (auto &it : g[nodo]) {
        if (vis[it] || it == anc1 || it == anc2) continue;
        dfs(it, vis, g, ans, anc1, anc2);
    }
    return;
}

int bin(int l, int r, vector <int> &ar, vector <int> &bus) {
    if (l == r) return ar[l];
    auxa.clear();
    for (int i = l; i <= mid; i++) auxa.push_back(ar[i]);
    if (are_connected(auxa, bus)) return bin(l, mid, ar, bus);
    else return bin(mid + 1, r, ar, bus);
}

std::vector<int> longest_trip(int N, int D) {
    if (N <= 2) return caso_base(N);
    vector <linea> V;
    vector <int> ans;
    for (int i = 0; i < N; i++)
        V.push_back(linea(i));

    shuffle(V.begin(), V.end(), rnd);
    while (V.size() >= 5) {
        linea A = V.back();
        V.pop_back();
        linea B = V.back();
        V.pop_back();
        linea C = V.back();
        V.pop_back();
        linea D = V.back();
        V.pop_back();
        linea E = V.back();
        V.pop_back();

        if (conectados(A.lin.front(), B.lin.front())) {
            A.unir(B, B.lin.front(), A.lin.front());
            V.push_back(A);
            V.push_back(C);
            V.push_back(D);
            V.push_back(E);
            shuffle(V.begin(), V.end(), rnd);
            continue;
        }

        if (conectados(C.lin.front(), D.lin.front())) {
            C.unir(D, D.lin.front(), C.lin.front());
            if (conectados(E.lin.front(), A.lin.front())) {
                E.unir(A, A.lin.front(), E.lin.front());
                V.push_back(B);
            }
            else {
                E.unir(B, B.lin.front(), E.lin.front());
                V.push_back(A);
            }
            V.push_back(E);
            V.push_back(C);
            shuffle(V.begin(), V.end(), rnd);
            continue;
        }

        if (conectados(A.lin.front(), C.lin.front()) && conectados(B.lin.front(), D.lin.front())) {
            A.unir(C, C.lin.front(), A.lin.front());
            B.unir(D, D.lin.front(), B.lin.front());
            V.push_back(A);
            V.push_back(B);
            V.push_back(E);
            shuffle(V.begin(), V.end(), rnd);
            continue;
        }
        else {
            A.unir(D, D.lin.front(), A.lin.front());
            B.unir(C, C.lin.front(), B.lin.front());
            V.push_back(A);
            V.push_back(B);
            V.push_back(E);
            shuffle(V.begin(), V.end(), rnd);
            continue;
        }
    }


    shuffle(V.begin(), V.end(), rnd);
    while (V.size() >= 3) {
        linea A = V.back();
        V.pop_back();
        linea B = V.back();
        V.pop_back();
        linea C = V.back();
        V.pop_back();
        if (conectados(A.lin.front(), B.lin.front())) {
            A.unir(B, B.lin.front(), A.lin.front());
            V.push_back(A);
            V.push_back(C);
        }
        else if (conectados(A.lin.front(), C.lin.front())) {
            A.unir(C, C.lin.front(), A.lin.front());
            V.push_back(A);
            V.push_back(B);
        }
        else {
            B.unir(C, C.lin.front(), B.lin.front());
            V.push_back(B);
            V.push_back(A);
        }
        shuffle(V.begin(), V.end(), rnd);
    }

    linea A = V[0], B = V[1];
    vector <int> VA, VB;
    while (!V[1].lin.empty()) {
        VB.push_back(V[1].lin.front());
        V[1].lin.pop_front();
    }
    while (!V[0].lin.empty()) {
        VA.push_back(V[0].lin.front());
        V[0].lin.pop_front();
    }

    if (!are_connected(VA,VB)) {
        if (VA.size() > VB.size()) return VA;
        return VB;
    }

    V[0] = A; V[1] = B;

    bool c1 = false, c2 = false, c3 = false, c4 = false;
    c1 = conectados(V[0].lin.front(), V[1].lin.front());
    if (!c1) c2 = conectados(V[0].lin.front(), V[1].lin.back());
    if (!c1 && !c2) c3 = conectados(V[0].lin.back(), V[1].lin.back());
    if (!c1 && !c2 && !c3) c4 = conectados(V[0].lin.back(), V[1].lin.front());
    if (c1 || c2 || c3 || c4) {
        if (c1) V[1].unir(V[0], V[0].lin.front(), V[1].lin.front());
        else if (c2) V[1].unir(V[0], V[0].lin.front(), V[1].lin.back());
        else if (c3) V[1].unir(V[0], V[0].lin.back(), V[1].lin.back());
        else if (c4) V[1].unir(V[0], V[0].lin.back(), V[1].lin.front());

        while (!V[1].lin.empty()) {
            ans.push_back(V[1].lin.front());
            V[1].lin.pop_front();
        }
        return ans;
    }

    int ancla = bin(0, VA.size() - 1, VA, VB);
    vector <int> vancla;
    vancla.push_back(ancla);
    int ancla2 = bin(0, VB.size() - 1, VB, vancla);

    vector <vector<int>> g(N + 2);
    vector <bool> vis(N + 2);
    for (int i = 0; i < N + 2; i++)
        vis[i] = false;

    for (int i = 0; i < VA.size() - 1; i++) {
        g[VA[i]].push_back(VA[i + 1]);
        g[VA[i + 1]].push_back(VA[i]);
    }
    for (int i = 0; i < VB.size() - 1; i++) {
        g[VB[i]].push_back(VB[i + 1]);
        g[VB[i + 1]].push_back(VB[i]);
    }
    g[VA[VA.size() - 1]].push_back(VA[0]);
    g[VA[0]].push_back(VA[VA.size() - 1]);

    g[VB[VB.size() - 1]].push_back(VB[0]);
    g[VB[0]].push_back(VB[VB.size() - 1]);

    g[ancla].push_back(ancla2);
    g[ancla2].push_back(ancla);

    if (VA.size() != 1) {
        for (auto &it : g[ancla]) {
            if (it != ancla2) {
                dfs(it, vis, g, ans, ancla, ancla2);
                break;
            }
        }
    }
    else {
        for (auto &it : g[ancla2]) {
            if (it != ancla) {
                dfs(it, vis, g, ans, ancla, ancla2);
                break;
            }
        }
    }
    return ans;
}

Compilation message

longesttrip.cpp: In function 'std::vector<int> longest_trip(int, int)':
longesttrip.cpp:232:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  232 |     for (int i = 0; i < VA.size() - 1; i++) {
      |                     ~~^~~~~~~~~~~~~~~
longesttrip.cpp:236:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  236 |     for (int i = 0; i < VB.size() - 1; i++) {
      |                     ~~^~~~~~~~~~~~~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 344 KB Incorrect
2 Halted 0 ms 0 KB -

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 7 ms 600 KB Output is correct
4 Correct 10 ms 600 KB Output is correct
5 Correct 14 ms 940 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 344 KB Output is correct
2 Correct 6 ms 344 KB Output is correct
3 Correct 8 ms 600 KB Output is correct
4 Correct 10 ms 604 KB Output is correct
5 Correct 15 ms 932 KB Output is correct
6 Correct 10 ms 344 KB Output is correct
7 Correct 8 ms 344 KB Output is correct
8 Correct 7 ms 1108 KB Output is correct
9 Correct 9 ms 856 KB Output is correct
10 Correct 14 ms 940 KB Output is correct
11 Correct 13 ms 856 KB Output is correct
12 Correct 14 ms 676 KB Output is correct
13 Correct 15 ms 856 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 344 KB Output is correct
2 Correct 7 ms 344 KB Output is correct
3 Correct 7 ms 600 KB Output is correct
4 Correct 10 ms 344 KB Output is correct
5 Correct 14 ms 944 KB Output is correct
6 Correct 9 ms 344 KB Output is correct
7 Correct 8 ms 344 KB Output is correct
8 Correct 9 ms 852 KB Output is correct
9 Correct 9 ms 600 KB Output is correct
10 Correct 15 ms 856 KB Output is correct
11 Correct 15 ms 1364 KB Output is correct
12 Correct 14 ms 856 KB Output is correct
13 Correct 15 ms 932 KB Output is correct
14 Correct 7 ms 344 KB Output is correct
15 Correct 11 ms 344 KB Output is correct
16 Correct 9 ms 344 KB Output is correct
17 Correct 8 ms 344 KB Output is correct
18 Correct 8 ms 596 KB Output is correct
19 Correct 9 ms 600 KB Output is correct
20 Correct 9 ms 600 KB Output is correct
21 Correct 15 ms 1112 KB Output is correct
22 Correct 13 ms 684 KB Output is correct
23 Correct 13 ms 856 KB Output is correct
24 Correct 15 ms 676 KB Output is correct
25 Correct 7 ms 344 KB Output is correct
26 Correct 7 ms 344 KB Output is correct
27 Correct 9 ms 596 KB Output is correct
28 Correct 7 ms 344 KB Output is correct
29 Correct 7 ms 344 KB Output is correct
30 Correct 8 ms 496 KB Output is correct
31 Correct 8 ms 500 KB Output is correct
32 Correct 8 ms 496 KB Output is correct
33 Correct 9 ms 600 KB Output is correct
34 Correct 11 ms 344 KB Output is correct
35 Correct 9 ms 344 KB Output is correct
36 Correct 14 ms 676 KB Output is correct
37 Correct 15 ms 856 KB Output is correct
38 Correct 13 ms 680 KB Output is correct
39 Correct 14 ms 680 KB Output is correct
40 Correct 14 ms 856 KB Output is correct
41 Correct 14 ms 676 KB Output is correct
42 Correct 16 ms 1104 KB Output is correct
43 Correct 13 ms 856 KB Output is correct
44 Correct 16 ms 856 KB Output is correct
45 Correct 9 ms 448 KB Output is correct
46 Correct 11 ms 344 KB Output is correct
47 Correct 13 ms 344 KB Output is correct
48 Correct 9 ms 600 KB Output is correct
49 Correct 11 ms 344 KB Output is correct
50 Correct 11 ms 760 KB Output is correct
51 Correct 12 ms 752 KB Output is correct
52 Correct 10 ms 496 KB Output is correct
53 Correct 10 ms 344 KB Output is correct
54 Correct 10 ms 556 KB Output is correct
55 Correct 11 ms 344 KB Output is correct
56 Correct 17 ms 684 KB Output is correct
57 Correct 15 ms 856 KB Output is correct
58 Correct 16 ms 856 KB Output is correct
59 Correct 13 ms 676 KB Output is correct
60 Correct 13 ms 684 KB Output is correct
61 Correct 13 ms 704 KB Output is correct
62 Correct 15 ms 856 KB Output is correct
63 Correct 14 ms 672 KB Output is correct
64 Correct 16 ms 708 KB Output is correct

Subtask #4
0.0 / 60.0

# 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 8 ms 760 KB Output is correct
4 Correct 11 ms 856 KB Output is correct
5 Correct 14 ms 944 KB Output is correct
6 Correct 11 ms 344 KB Output is correct
7 Correct 8 ms 344 KB Output is correct
8 Correct 9 ms 748 KB Output is correct
9 Correct 10 ms 600 KB Output is correct
10 Correct 14 ms 688 KB Output is correct
11 Correct 15 ms 940 KB Output is correct
12 Correct 17 ms 692 KB Output is correct
13 Correct 18 ms 940 KB Output is correct
14 Correct 7 ms 344 KB Output is correct
15 Correct 7 ms 344 KB Output is correct
16 Incorrect 4 ms 344 KB Incorrect
17 Halted 0 ms 0 KB -