oj.uz

Submission #853418

# Submission time Handle Problem Language Result Execution time Memory
853418 2023-09-24T10:11:41 Z FairyWinx Closing Time (IOI23_closing) C++17
0 / 100
 1000 ms 37040 KB 
#include <bits/stdc++.h>

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

using namespace std;

vector<vector<pair<int, int>>> G;
vector<int> ban;

void dfs_calc_dist(int v, int par, long long d, vector<long long> &dist) {
    dist[v] = d;
    for (auto i : G[v]) {
        if (i.first != par) {
            dfs_calc_dist(i.first, v, d + i.second, dist);
        }
    }
}

void dfs_find_par(int v, int p, vector<int> &par) {
    par[v] = p;
    for (auto i : G[v]) {
        if (i.first != p) {
            dfs_find_par(i.first, v, par);
        }
    }
}

void init(int n) {
    G.clear();
    ban.clear();;

    G.resize(n);
    ban.resize(n);
}

void dfs(int v, int par, long long d, vector<pair<long long, int>> &value) {
    if (!ban[v])
        value.emplace_back(d, v);
    for (auto i : G[v]) {
        if (i.first == par || ban[i.first])
            continue;
        dfs(i.first, v, d + i.second, value);
    }
}

int solve(int n, int l, int r, long long k, vector<int> &path, vector<long long> &dist1, 
            vector<long long> &dist2, int x, int y) {

    fill(all(ban), 0);
    for (int i = l; i < r; ++i) {
        ban[path[i]] = 1;
    }
    vector<pair<long long, int>> value1;
    vector<pair<long long, int>> value2;
    // добавить иф, чтобы не добавлялись единицы, если забанены эти вершины
    if (r != (int) path.size())
        dfs(x, -1, 0, value1);
    if (l != 0)
        dfs(y, -1, 0, value1);
    long long sum = 0;
    vector<pair<int, int>> ans; // добавить эти вершины в самом начале
    for (int i : path) {
        if (ban[i]) {
            if (l != r) {
                ans.emplace_back(i, 2);
                sum += max(dist1[i], dist2[i]);
            }
        } else {
            if (l != r) {
                ans.emplace_back(i, 1);
                sum += min(dist1[i], dist2[i]);
            }
        }
    }
    for (int i : path)
        ban[i] = 1;
    // cout << sum << ' ' << k << '\n';
    vector<int> used(n);
    if (l != r) {
        for (int i : path) {
            used[i] = 1;
        }
    }
    if (sum > k)
        return -1;
    else
        k -= sum;
    for (int i = l; i < r; ++i) {
        dfs(path[i], -1, max(dist1[path[i]], dist2[path[i]]), value2);
    }
    sort(rall(value1));
    sort(rall(value2));
    // for (auto i : value1) {
    //     cout << i.first << ' ' << i.second << '\n';
    // }
    while (value1.size() || value2.size()) {
        if (value1.size() && used[value1.back().second]) {
            value1.pop_back();
            continue;
        } else if (value2.size() && used[value2.back().second]) {
            value2.pop_back();
            continue;
        }
        // добавить used, чтобы вершина не бралась дважды + не брать на пути.
        if (!value1.size()) {
            if (value2.back().first > k) {
                break;
            } else {
                ans.emplace_back(value2.back().second, 2);
                k -= value2.back().first;
                used[value2.back().second] = 1;
                value2.pop_back();
            }
        } else if (!value2.size()) {
            if (value1.back().first > k) {
                break;
            } else {
                ans.emplace_back(value1.back().second, 1);
                k -= value1.back().first;
                used[value1.back().second] = 1;
                value1.pop_back();
            }
        } else {
            if (!used[value1.back().second] && k >= value1.back().first && 
                    (k > value2.back().first || 
                    (2 * value1.back().first <= value2.back().first))) {

                // value1 оптимальнее
                ans.emplace_back(value1.back().second, 1);
                k -= value1.back().first;
                used[value1.back().second] = 1;
                value1.pop_back();
            } else if (!used[value2.back().second] && k >= value2.back().first) {
                ans.emplace_back(value2.back().second, 1);
                k -= value2.back().first;
                used[value2.back().second] = 1;
                value2.pop_back();
            } else {
                break;
            }
        }
    }
    while (value2.size() && used[value2.back().second]) {
        value2.pop_back();
    }
    if (value2.size()) {
        for (int i = (int) ans.size() - 1; i >= 0; --i) {
            if (ans[i].second == 1) {
                if (k + ans[i].second >= value2.back().first) {
                    swap(ans[i], ans.back());
                    ans.pop_back();
                    ans.emplace_back(value2.back().second, 2);
                    value2.pop_back();
                }

                break;
            }
        }
    }
    int cnt = 0;
    for (auto i : ans) {
        cnt += i.second;
    }
    return cnt;
}

int max_score(int n, int x, int y, long long k, 
    vector<int> u, vector<int> v, vector<int> w) {

    init(n);

    for (int i = 0; i < n - 1; ++i) {
        G[u[i]].emplace_back(v[i], w[i]);
        G[v[i]].emplace_back(u[i], w[i]);
    }

    vector<long long> dist1(n), dist2(n);
    dfs_calc_dist(x, -1, 0, dist1);
    dfs_calc_dist(y, -1, 0, dist2);

    vector<int> path;
    {
        vector<int> par(n);
        dfs_find_par(x, -1, par);
        int tmp = y;
        while (tmp != x) {
            path.push_back(tmp);
            tmp = par[tmp];
        }
        path.push_back(tmp);
    }

    int ans = solve(n, -1, -1, k, path, dist1, dist2, x, y);

    for (int l = 0; l < (int) path.size(); ++l) {
        for (int r = l + 1; r <= (int) path.size(); ++r) {
            ans = max(ans, solve(n, l, r, k, path, dist1, dist2, x, y));
            // cout << l << ' ' << r << ' ' << solve(n, l, r, k, path, dist1, dist2, x, y) << '\n';
        }
    }
    // return solve(n, 1, 3, k, path, dist1, dist2, x, y);
    return ans;
}

#ifdef LOCAL

int main()
{
    // BEGIN SECRET
    {
        std::string in_secret = "cc61ad56a4797fb3f5c9529f73ce6fcedd85669b";
        std::string out_secret = "081ce3c351cbf526b37954b9ad30f2b531a7585c";
        char secret[1000];
        assert(1 == scanf("%s", secret));
        if (std::string(secret) != in_secret)
        {
            printf("%s\n", out_secret.c_str());
            printf("SV\n");
            fclose(stdout);
            return 0;
        }
    }
    // END SECRET

    int Q;
    assert(1 == scanf("%d", &Q));

    std::vector<int> N(Q), X(Q), Y(Q);
    std::vector<long long> K(Q);
    std::vector<std::vector<int>> U(Q), V(Q), W(Q);

    for (int q = 0; q < Q; q++)
    {
        assert(4 == scanf("%d %d %d %lld", &N[q], &X[q], &Y[q], &K[q]));

        U[q].resize(N[q] - 1);
        V[q].resize(N[q] - 1);
        W[q].resize(N[q] - 1);
        for (int i = 0; i < N[q] - 1; ++i)
        {
            assert(3 == scanf("%d %d %d", &U[q][i], &V[q][i], &W[q][i]));
        }
    }
    fclose(stdin);

    std::vector<int> result(Q);
    for (int q = 0; q < Q; q++)
    {
        result[q] = max_score(N[q], X[q], Y[q], K[q], U[q], V[q], W[q]);
    }

    // BEGIN SECRET
    {
        std::string out_secret = "081ce3c351cbf526b37954b9ad30f2b531a7585c";
        printf("%s\n", out_secret.c_str());
        printf("OK\n");
    }
    // END SECRET
    for (int q = 0; q < Q; q++)
    {
        printf("%d\n", result[q]);
    }
    fclose(stdout);

    return 0;
}

#endif

Subtask #0
0.0 / 0.0

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

Subtask #1
0.0 / 8.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1044 ms 37040 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #2
0.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Incorrect 1 ms 344 KB 1st lines differ - on the 1st token, expected: '74', found: '73'
9 Halted 0 ms 0 KB -

Subtask #3
0.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Incorrect 1 ms 344 KB 1st lines differ - on the 1st token, expected: '74', found: '73'
9 Halted 0 ms 0 KB -

Subtask #4
0.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Incorrect 1 ms 344 KB 1st lines differ - on the 1st token, expected: '74', found: '73'
9 Halted 0 ms 0 KB -

Subtask #5
0.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '9', found: '8'
10 Halted 0 ms 0 KB -

Subtask #6
0.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Incorrect 1 ms 344 KB 1st lines differ - on the 1st token, expected: '74', found: '73'
10 Halted 0 ms 0 KB -

Subtask #7
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Incorrect 1 ms 344 KB 1st lines differ - on the 1st token, expected: '74', found: '73'
10 Halted 0 ms 0 KB -

Subtask #8
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Incorrect 1 ms 344 KB 1st lines differ - on the 1st token, expected: '74', found: '73'
10 Halted 0 ms 0 KB -

Subtask #9
0.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Incorrect 1 ms 344 KB 1st lines differ - on the 1st token, expected: '74', found: '73'
10 Halted 0 ms 0 KB -