답안 #853975

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
853975 2023-09-25T17:46:51 Z FairyWinx 가장 긴 여행 (IOI23_longesttrip) C++17
40 / 100
19 ms 856 KB
#include <bits/stdc++.h>
#ifndef LOCAL
    #include "longesttrip.h"
#endif

#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()

using namespace std;

// #ifdef LOCAL
// vector<vector<int>> G_secret;
// int n;

// bool are_connected(vector<int> a, vector<int> b) {
//     for (int i : a) {
//         for (int j : b) {
//             if (G_secret[i][j])
//                 return true;
//         }
//     }
//     return false;
// }
// #endif


#ifdef LOCAL

#include <cassert>
#include <cstdio>
#include <string>
#include <vector>

static inline constexpr int maxNumberOfCalls = 32640;
static inline constexpr int maxTotalNumberOfCalls = 150000;
static inline constexpr int maxTotalNumberOfLandmarksInCalls = 1500000;
static int call_counter = 0;
static int total_call_counter = 0;
static int landmark_counter = 0;

static int C, N, D;
static std::vector<std::vector<int>> U;
static std::vector<bool> present;

static inline void protocol_violation(std::string message)
{
    printf("Protocol Violation: %s\n", message.c_str());
    exit(0);
}

bool are_connected(std::vector<int> A, std::vector<int> B)
{
    ++call_counter;
    ++total_call_counter;
    if (call_counter > maxNumberOfCalls || total_call_counter > maxTotalNumberOfCalls)
    {
        protocol_violation("too many calls");
    }

    int nA = A.size(), nB = B.size();
    landmark_counter += nA + nB;
    if (landmark_counter > maxTotalNumberOfLandmarksInCalls)
    {
        protocol_violation("too many elements");
    }

    if (nA == 0 || nB == 0)
    {
        protocol_violation("invalid array");
    }
    for (int i = 0; i < nA; ++i)
    {
        if (A[i] < 0 || N <= A[i])
        {
            protocol_violation("invalid array");
        }
        if (present[A[i]])
        {
            protocol_violation("invalid array");
        }
        present[A[i]] = true;
    }
    for (int i = 0; i < nA; ++i)
    {
        present[A[i]] = false;
    }
    for (int i = 0; i < nB; ++i)
    {
        if (B[i] < 0 || N <= B[i])
        {
            protocol_violation("invalid array");
        }
        if (present[B[i]])
        {
            protocol_violation("invalid array");
        }
        present[B[i]] = true;
    }
    for (int i = 0; i < nB; ++i)
    {
        present[B[i]] = false;
    }

    for (int i = 0; i < nA; ++i)
    {
        for (int j = 0; j < nB; ++j)
        {
            if (A[i] == B[j])
            {
                protocol_violation("non-disjoint arrays");
            }
        }
    }

    for (int i = 0; i < nA; ++i)
    {
        for (int j = 0; j < nB; ++j)
        {
            if (U[std::max(A[i], B[j])][std::min(A[i], B[j])] == 1)
            {
                return true;
            }
        }
    }

    return false;
}

#endif


struct dsu {
    vector<int> p;

    dsu(int n) {
        p.resize(n);
        iota(all(p), 0);
    }

    int get(int a) {
        if (p[a] == a)
            return a;
        return p[a] = get(p[a]);
    }

    void merge(int a, int b) {
        a = get(a), b = get(b);
        p[a] = b;
    }
};

vector<int> get_comp(int n, int v, dsu &d) {
    vector<int> comp;
    for (int i = 0; i < n; ++i) {
        if (d.get(i) == v) {
            comp.push_back(i);
        }
    }
    return comp;
}

void add_comp(vector<int> &ans, vector<int> &comp, pair<int, int> end) {
    ans.push_back(end.first);
    for (int j : comp) {
        if (j != end.first && j != end.second) {
            ans.push_back(j);
        }
    }
    if (end.first != end.second) {
        ans.push_back(end.second);
    }
}

vector<int> longest_trip(int n, int D) { // Случай, когда отдельная вершинка - 0
    dsu d(n);
    vector<vector<int>> path;
    vector<pair<int, int>> ends;
    ends.push_back({0, 0});
    path.push_back({0});
    vector<int> ost(n - 1);
    iota(all(ost), 1);
    while (true) {
        int ind_comp = ost[0];
        bool find = false;
        bool was_merge = false;
        for (int i = 0; i < (int) ost.size(); ++i) {
            if (are_connected({ends.back().second}, get_comp(n, ost[i], d))) {
                path.push_back(get_comp(n, ost[i], d));
                int last_end = ends.back().second;
                ends.emplace_back();
                for (int i : path.back()) { // поиск вершины.
                    if (are_connected({last_end}, {i})) {
                        ends.back().first = i;
                    }
                }
                if (path.back().size() == 1) {
                    ends.back().second = ends.back().first;
                } else {
                    if (ends.back().first != path.back()[0]) {
                        ends.back().second = path.back()[0];
                    } else {
                        ends.back().second = path.back().back();
                    }
                }
                swap(ost[i], ost.back());
                ost.pop_back();
                find = true;
                break;
            } else {
                was_merge = true;
                d.merge(ost[i], ind_comp);
                swap(ost[i], ost.back());
                ost.pop_back();
                --i;
            }
        }
        if (was_merge)
            ost.push_back(ind_comp);
        if (!ost.size()) {
            vector<int> ans;
            for (int i = 0; i < (int) path.size(); ++i) {
                add_comp(ans, path[i], ends[i]);
            }
            // cout << "MEOW1\n";
            return ans;
        }
        if (!find) {
            vector<int> last_comp = get_comp(n, ost[0], d);
            for (int i = 0; i < (int) path.size(); ++i) {
                if (are_connected({last_comp[0]}, {ends[i].first})) {
                    vector<int> ans;
                    for (int j : last_comp) {
                        if (j != last_comp[0]) {
                            ans.push_back(j);
                        }
                    }
                    ans.push_back(last_comp[0]);
                    for (int j = i; j < (int) path.size(); ++j) {
                        add_comp(ans, path[j], ends[j]);
                    }
                    for (int j = 0; j < i; ++j) {
                        add_comp(ans, path[j], ends[j]);
                    }
                    // cout << "MEOW2\n";
                    return ans;
                }
            }
            vector<int> ans;
            if (last_comp.size() > n - last_comp.size()) {
                for (int i : last_comp)
                    ans.push_back(i);
            } else {
                for (auto i : path) {
                    for (int j : i)
                        ans.push_back(j);
                }
            }
            return ans;
        }
    }
    assert(0);
    return {-1};
}

#ifdef LOCAL

int main()
{
    assert(1 == scanf("%d", &C));
    int maximumCalls = 0;
    for (int c = 0; c < C; ++c)
    {
        call_counter = 0;
        assert(2 == scanf("%d %d", &N, &D));

        present.assign(N, false);
        U.resize(N);
        for (int i = 1; i < N; ++i)
        {
            U[i].resize(i);
            for (int j = 0; j < i; ++j)
            {
                assert(1 == scanf("%d", &U[i][j]));
            }
        }

        for (int i = 2; i < N; ++i)
        {
            for (int j = 1; j < i; ++j)
            {
                for (int k = 0; k < j; ++k)
                {
                    if (U[i][j] + U[i][k] + U[j][k] < D)
                    {
                        printf("Insufficient Density\n");
                        exit(0);
                    }
                }
            }
        }

        std::vector<int> t = longest_trip(N, D);
        int l = t.size();
        printf("%d\n", l);
        for (int i = 0; i < l; ++i)
        {
            printf(i == 0 ? "%d" : " %d", t[i]);
        }
        printf("\n");
        // printf("%d\n", call_counter);

        maximumCalls = std::max(maximumCalls, call_counter);
        call_counter = 0;
    }
    // printf("%d\n", maximumCalls);

    return 0;
}

#endif
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 3 ms 344 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 344 KB Output is correct
2 Correct 13 ms 344 KB Output is correct
3 Correct 8 ms 344 KB Output is correct
4 Correct 11 ms 600 KB Output is correct
5 Correct 10 ms 600 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 344 KB Output is correct
2 Correct 10 ms 344 KB Output is correct
3 Correct 8 ms 344 KB Output is correct
4 Correct 10 ms 600 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 10 ms 344 KB Output is correct
10 Correct 11 ms 344 KB Output is correct
11 Correct 12 ms 344 KB Output is correct
12 Correct 10 ms 344 KB Output is correct
13 Correct 10 ms 344 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 12 ms 344 KB Output is correct
2 Correct 9 ms 344 KB Output is correct
3 Correct 9 ms 344 KB Output is correct
4 Correct 12 ms 856 KB Output is correct
5 Correct 13 ms 344 KB Output is correct
6 Correct 9 ms 344 KB Output is correct
7 Correct 10 ms 344 KB Output is correct
8 Correct 9 ms 344 KB Output is correct
9 Correct 9 ms 344 KB Output is correct
10 Correct 10 ms 344 KB Output is correct
11 Correct 11 ms 344 KB Output is correct
12 Correct 10 ms 344 KB Output is correct
13 Correct 9 ms 344 KB Output is correct
14 Correct 14 ms 344 KB Output is correct
15 Correct 9 ms 344 KB Output is correct
16 Correct 10 ms 356 KB Output is correct
17 Correct 9 ms 344 KB Output is correct
18 Correct 11 ms 600 KB Output is correct
19 Correct 10 ms 344 KB Output is correct
20 Correct 11 ms 344 KB Output is correct
21 Correct 11 ms 344 KB Output is correct
22 Correct 13 ms 600 KB Output is correct
23 Correct 14 ms 600 KB Output is correct
24 Correct 11 ms 444 KB Output is correct
25 Correct 9 ms 344 KB Output is correct
26 Correct 13 ms 344 KB Output is correct
27 Correct 13 ms 344 KB Output is correct
28 Correct 12 ms 344 KB Output is correct
29 Correct 14 ms 344 KB Output is correct
30 Correct 17 ms 344 KB Output is correct
31 Correct 12 ms 440 KB Output is correct
32 Correct 10 ms 432 KB Output is correct
33 Correct 14 ms 344 KB Output is correct
34 Correct 13 ms 596 KB Output is correct
35 Correct 14 ms 344 KB Output is correct
36 Correct 14 ms 600 KB Output is correct
37 Correct 15 ms 344 KB Output is correct
38 Correct 19 ms 608 KB Output is correct
39 Correct 18 ms 856 KB Output is correct
40 Correct 16 ms 612 KB Output is correct
41 Correct 18 ms 696 KB Output is correct
42 Correct 13 ms 604 KB Output is correct
43 Correct 13 ms 696 KB Output is correct
44 Correct 13 ms 448 KB Output is correct
45 Correct 10 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 18 ms 344 KB Output is correct
49 Correct 11 ms 344 KB Output is correct
50 Correct 10 ms 344 KB Output is correct
51 Correct 10 ms 432 KB Output is correct
52 Correct 10 ms 692 KB Output is correct
53 Correct 11 ms 600 KB Output is correct
54 Correct 14 ms 344 KB Output is correct
55 Correct 14 ms 600 KB Output is correct
56 Correct 13 ms 608 KB Output is correct
57 Correct 14 ms 848 KB Output is correct
58 Correct 12 ms 696 KB Output is correct
59 Correct 14 ms 700 KB Output is correct
60 Correct 13 ms 704 KB Output is correct
61 Correct 14 ms 696 KB Output is correct
62 Correct 12 ms 696 KB Output is correct
63 Correct 13 ms 448 KB Output is correct
64 Correct 16 ms 608 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 9 ms 344 KB Output is correct
2 Correct 10 ms 344 KB Output is correct
3 Correct 9 ms 344 KB Output is correct
4 Correct 10 ms 800 KB Output is correct
5 Partially correct 9 ms 344 KB Output is partially correct
6 Correct 9 ms 344 KB Output is correct
7 Correct 10 ms 344 KB Output is correct
8 Correct 9 ms 600 KB Output is correct
9 Correct 10 ms 600 KB Output is correct
10 Partially correct 9 ms 344 KB Output is partially correct
11 Partially correct 11 ms 344 KB Output is partially correct
12 Partially correct 11 ms 344 KB Output is partially correct
13 Partially correct 13 ms 344 KB Output is partially correct
14 Correct 9 ms 344 KB Output is correct
15 Correct 11 ms 344 KB Output is correct
16 Correct 11 ms 344 KB Output is correct
17 Correct 9 ms 596 KB Output is correct
18 Correct 10 ms 344 KB Output is correct
19 Correct 11 ms 600 KB Output is correct
20 Correct 11 ms 344 KB Output is correct
21 Correct 10 ms 344 KB Output is correct
22 Correct 9 ms 344 KB Output is correct
23 Correct 12 ms 344 KB Output is correct
24 Correct 13 ms 344 KB Output is correct
25 Correct 13 ms 344 KB Output is correct
26 Correct 16 ms 600 KB Output is correct
27 Correct 13 ms 440 KB Output is correct
28 Correct 11 ms 432 KB Output is correct
29 Correct 15 ms 600 KB Output is correct
30 Correct 17 ms 344 KB Output is correct
31 Correct 13 ms 344 KB Output is correct
32 Correct 11 ms 344 KB Output is correct
33 Incorrect 1 ms 344 KB Incorrect
34 Halted 0 ms 0 KB -