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Submission #840599

# Submission time Handle Problem Language Result Execution time Memory
840599 2023-08-31T14:18:11 Z arbuzick Closing Time (IOI23_closing) C++17
29 / 100
 1000 ms 105760 KB 
#include <bits/stdc++.h>

using namespace std;

constexpr int maxn = 2e5 + 5;

constexpr long long inf = (long long)(1e18) + 7;

vector<pair<int, int>> g[maxn];

long long dist_x[maxn], dist_y[maxn];

int prv[maxn];

vector<int> path;

void dfs(int v, long long* dist) {
    for (auto [u, c] : g[v]) {
        if (u != prv[v]) {
            prv[u] = v;
            dist[u] = dist[v] + c;
            dfs(u, dist);
        }
    }
}

void calc_dist(int x, int y) {
    prv[x] = x;
    dfs(x, dist_x);
    prv[y] = y;
    dfs(y, dist_y);
    int nw = x;
    while (nw != y) {
        path.push_back(nw);
        nw = prv[nw];
    }
    path.push_back(y);
}

bool used[maxn];

constexpr int maxn2 = 3e3 + 5;

long long dp[maxn2][maxn2 * 2][4];

long long res[maxn2 * 2];

int sz[maxn];

void calc_sz(int v, int prv) {
    sz[v] = 1;
    for (auto [u, c] : g[v]) {
        if (!used[u] && u != prv) {
            calc_sz(u, v);
            sz[v] += sz[u];
        }
    }
}

void calc_dp(int v, int prv) {
    for (auto [u, c] : g[v]) {
        if (!used[u] && u != prv) {
            calc_dp(u, v);
            for (int mask = 0; mask < 4; ++mask) {
                for (int cnt_nw = sz[v] * 2; cnt_nw >= 0; --cnt_nw) {
                    if (dp[v][cnt_nw][mask] == inf) {
                        continue;
                    }
                    for (int cnt_add = 0; cnt_add <= sz[u] * 2 && cnt_nw + cnt_add <= sz[v] * 2; ++cnt_add) {
                        dp[v][cnt_nw + cnt_add][mask] = min(dp[v][cnt_nw + cnt_add][mask], dp[v][cnt_nw][mask] + dp[u][cnt_add][mask]);
                    }
                }
            }
        }
    }
    for (int cnt = 0; cnt <= sz[v] * 2; ++cnt) {
        dp[v][cnt][1] = min(dp[v][cnt][1], dp[v][cnt][0]);
        dp[v][cnt][2] = min(dp[v][cnt][2], dp[v][cnt][0]);
        dp[v][cnt][3] = min(dp[v][cnt][3], min(dp[v][cnt][1], dp[v][cnt][2]));
    }
}

int max_score(int n, int x, int y, long long k, vector<int> u,
              vector<int> v, vector<int> w) {
    path.clear();
    for (int i = 0; i < n; ++i) {
        g[i].clear();
        dist_x[i] = dist_y[i] = 0;
        used[i] = false;
    }
    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]);
    }
    calc_dist(x, y);
    int ans = 0;
    long long k_old = k;
    multiset<long long> ms;
    for (int i = 0; i < n; ++i) {
        ms.insert(dist_x[i]);
        ms.insert(dist_y[i]);
    }
    while (!ms.empty() && *ms.begin() <= k) {
        k -= *ms.begin();
        ms.erase(ms.begin());
        ans++;
    }
    if (n > maxn2) {
        return ans;
    }
    for (int i = 0; i < n; ++i) {
        for (int cnt = 0; cnt < maxn2; ++cnt) {
            for (int mask = 0; mask < 4; ++mask) {
                dp[i][cnt][mask] = inf;
            }
        }
        dp[i][0][0] = 0;
        dp[i][1][1] = dist_x[i];
        dp[i][1][2] = dist_y[i];
        dp[i][2][3] = max(dist_x[i], dist_y[i]);
    }
    k = k_old;
    for (auto v : path) {
        used[v] = true;
    }
    for (auto v : path) {
        calc_sz(v, v);
        for (int cnt = 0; cnt < maxn2; ++cnt) {
            for (int mask = 0; mask < 4; ++mask) {
                dp[v][cnt][mask] = inf;
            }
        }
        dp[v][0][0] = dp[v][0][1] = dp[v][0][2] = dp[v][0][3] = 0;
        calc_dp(v, v);
        // cout << "!" << ' ' << v << ' ' << dp[v][2][0] << ' ' << dp[v][2][1] << ' ' << dp[v][2][2] << ' ' << dp[v][2][3] << endl;
    }
    for (int l = 0; l < (int)path.size(); ++l) {
        for (int r = l + 1; r <= (int)path.size(); ++r) {
            res[0] = 0;
            for (int i = 1; i <= n * 2; ++i) {
                res[i] = inf;
            }
            int add_ans = 0;
            long long add_k = 0;
            for (int i = 0; i < l; ++i) {
                add_ans++;
                add_k += dist_x[path[i]];
                for (int cnt_nw = n * 2; cnt_nw >= 0; --cnt_nw) {
                    if (res[cnt_nw] == inf) {
                        continue;
                    }
                    for (int cnt_add = 0; cnt_add <= sz[path[i]] * 2 && cnt_nw + cnt_add <= n * 2; ++cnt_add) {
                        res[cnt_nw + cnt_add] = min(res[cnt_nw + cnt_add], res[cnt_nw] + dp[path[i]][cnt_add][1]);
                    }
                }
            }
            for (int i = l; i < r; ++i) {
                add_ans += 2;
                add_k += max(dist_x[path[i]], dist_y[path[i]]);
                for (int cnt_nw = n * 2; cnt_nw >= 0; --cnt_nw) {
                    if (res[cnt_nw] == inf) {
                        continue;
                    }
                    for (int cnt_add = 0; cnt_add <= sz[path[i]] * 2 && cnt_nw + cnt_add <= n * 2; ++cnt_add) {
                        res[cnt_nw + cnt_add] = min(res[cnt_nw + cnt_add], res[cnt_nw] + dp[path[i]][cnt_add][3]);
                    }
                }
            }
            for (int i = r; i < (int)path.size(); ++i) {
                add_ans++;
                add_k += dist_y[path[i]];
                for (int cnt_nw = n * 2; cnt_nw >= 0; --cnt_nw) {
                    if (res[cnt_nw] == inf) {
                        continue;
                    }
                    for (int cnt_add = 0; cnt_add <= sz[path[i]] * 2 && cnt_nw + cnt_add <= n * 2; ++cnt_add) {
                        res[cnt_nw + cnt_add] = min(res[cnt_nw + cnt_add], res[cnt_nw] + dp[path[i]][cnt_add][2]);
                    }
                }
            }
            for (int cnt = 0; cnt <= n * 2; ++cnt) {
                if (res[cnt] + add_k <= k) {
                    ans = max(ans, cnt + add_ans);
                } else {
                    break;
                }
            }
        }
    }
    return ans;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5588 KB Output is correct

Subtask #1
0.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 268 ms 45604 KB Output is correct
2 Correct 251 ms 51392 KB Output is correct
3 Execution timed out 1042 ms 105760 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 3 ms 6996 KB Output is correct
3 Correct 3 ms 6996 KB Output is correct
4 Correct 3 ms 6928 KB Output is correct
5 Correct 3 ms 6868 KB Output is correct
6 Correct 5 ms 9812 KB Output is correct
7 Correct 4 ms 9556 KB Output is correct
8 Correct 5 ms 9556 KB Output is correct
9 Correct 6 ms 9428 KB Output is correct
10 Correct 10 ms 9820 KB Output is correct
11 Correct 9 ms 9940 KB Output is correct

Subtask #3
0.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 3 ms 6996 KB Output is correct
3 Correct 3 ms 6996 KB Output is correct
4 Correct 3 ms 6928 KB Output is correct
5 Correct 3 ms 6868 KB Output is correct
6 Correct 5 ms 9812 KB Output is correct
7 Correct 4 ms 9556 KB Output is correct
8 Correct 5 ms 9556 KB Output is correct
9 Correct 6 ms 9428 KB Output is correct
10 Correct 10 ms 9820 KB Output is correct
11 Correct 9 ms 9940 KB Output is correct
12 Correct 6 ms 14804 KB Output is correct
13 Correct 8 ms 14756 KB Output is correct
14 Correct 32 ms 13980 KB Output is correct
15 Correct 7 ms 14012 KB Output is correct
16 Correct 78 ms 14804 KB Output is correct
17 Correct 78 ms 14864 KB Output is correct
18 Correct 7 ms 6996 KB Output is correct
19 Correct 21 ms 54248 KB Output is correct
20 Correct 21 ms 50028 KB Output is correct
21 Execution timed out 1087 ms 52072 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #4
0.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 3 ms 6996 KB Output is correct
3 Correct 3 ms 6996 KB Output is correct
4 Correct 3 ms 6928 KB Output is correct
5 Correct 3 ms 6868 KB Output is correct
6 Correct 5 ms 9812 KB Output is correct
7 Correct 4 ms 9556 KB Output is correct
8 Correct 5 ms 9556 KB Output is correct
9 Correct 6 ms 9428 KB Output is correct
10 Correct 10 ms 9820 KB Output is correct
11 Correct 9 ms 9940 KB Output is correct
12 Correct 6 ms 14804 KB Output is correct
13 Correct 8 ms 14756 KB Output is correct
14 Correct 32 ms 13980 KB Output is correct
15 Correct 7 ms 14012 KB Output is correct
16 Correct 78 ms 14804 KB Output is correct
17 Correct 78 ms 14864 KB Output is correct
18 Correct 7 ms 6996 KB Output is correct
19 Correct 21 ms 54248 KB Output is correct
20 Correct 21 ms 50028 KB Output is correct
21 Execution timed out 1087 ms 52072 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5588 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 3 ms 6996 KB Output is correct
4 Correct 3 ms 6996 KB Output is correct
5 Correct 3 ms 6928 KB Output is correct
6 Correct 3 ms 6868 KB Output is correct
7 Correct 3 ms 5332 KB Output is correct
8 Correct 3 ms 5392 KB Output is correct
9 Correct 2 ms 5716 KB Output is correct
10 Correct 3 ms 6740 KB Output is correct
11 Correct 3 ms 6868 KB Output is correct
12 Correct 3 ms 6484 KB Output is correct
13 Correct 3 ms 6996 KB Output is correct
14 Correct 3 ms 6868 KB Output is correct
15 Correct 4 ms 6752 KB Output is correct
16 Correct 3 ms 6740 KB Output is correct
17 Correct 4 ms 6740 KB Output is correct
18 Correct 3 ms 6868 KB Output is correct
19 Correct 3 ms 6996 KB Output is correct
20 Correct 3 ms 6740 KB Output is correct
21 Correct 3 ms 6740 KB Output is correct
22 Correct 3 ms 6996 KB Output is correct
23 Correct 3 ms 6996 KB Output is correct
24 Correct 3 ms 6740 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5588 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 3 ms 6996 KB Output is correct
4 Correct 3 ms 6996 KB Output is correct
5 Correct 3 ms 6928 KB Output is correct
6 Correct 3 ms 6868 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 4 ms 9556 KB Output is correct
9 Correct 5 ms 9556 KB Output is correct
10 Correct 6 ms 9428 KB Output is correct
11 Correct 10 ms 9820 KB Output is correct
12 Correct 9 ms 9940 KB Output is correct
13 Correct 6 ms 14804 KB Output is correct
14 Correct 8 ms 14756 KB Output is correct
15 Correct 32 ms 13980 KB Output is correct
16 Correct 7 ms 14012 KB Output is correct
17 Correct 78 ms 14804 KB Output is correct
18 Correct 78 ms 14864 KB Output is correct
19 Correct 3 ms 5332 KB Output is correct
20 Correct 3 ms 5392 KB Output is correct
21 Correct 2 ms 5716 KB Output is correct
22 Correct 3 ms 6740 KB Output is correct
23 Correct 3 ms 6868 KB Output is correct
24 Correct 3 ms 6484 KB Output is correct
25 Correct 3 ms 6996 KB Output is correct
26 Correct 3 ms 6868 KB Output is correct
27 Correct 4 ms 6752 KB Output is correct
28 Correct 3 ms 6740 KB Output is correct
29 Correct 4 ms 6740 KB Output is correct
30 Correct 3 ms 6868 KB Output is correct
31 Correct 3 ms 6996 KB Output is correct
32 Correct 3 ms 6740 KB Output is correct
33 Correct 3 ms 6740 KB Output is correct
34 Correct 3 ms 6996 KB Output is correct
35 Correct 3 ms 6996 KB Output is correct
36 Correct 3 ms 6740 KB Output is correct
37 Correct 3 ms 6868 KB Output is correct
38 Correct 6 ms 9300 KB Output is correct
39 Correct 7 ms 14804 KB Output is correct
40 Correct 7 ms 14420 KB Output is correct
41 Correct 6 ms 14748 KB Output is correct
42 Correct 8 ms 14420 KB Output is correct
43 Correct 54 ms 14156 KB Output is correct
44 Correct 8 ms 14448 KB Output is correct
45 Correct 18 ms 14860 KB Output is correct
46 Correct 8 ms 14548 KB Output is correct
47 Correct 7 ms 14804 KB Output is correct
48 Correct 6 ms 13396 KB Output is correct
49 Correct 5 ms 10452 KB Output is correct
50 Correct 4 ms 7380 KB Output is correct

Subtask #7
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5588 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 3 ms 6996 KB Output is correct
4 Correct 3 ms 6996 KB Output is correct
5 Correct 3 ms 6928 KB Output is correct
6 Correct 3 ms 6868 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 4 ms 9556 KB Output is correct
9 Correct 5 ms 9556 KB Output is correct
10 Correct 6 ms 9428 KB Output is correct
11 Correct 10 ms 9820 KB Output is correct
12 Correct 9 ms 9940 KB Output is correct
13 Correct 6 ms 14804 KB Output is correct
14 Correct 8 ms 14756 KB Output is correct
15 Correct 32 ms 13980 KB Output is correct
16 Correct 7 ms 14012 KB Output is correct
17 Correct 78 ms 14804 KB Output is correct
18 Correct 78 ms 14864 KB Output is correct
19 Correct 7 ms 6996 KB Output is correct
20 Correct 21 ms 54248 KB Output is correct
21 Correct 21 ms 50028 KB Output is correct
22 Execution timed out 1087 ms 52072 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #8
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5588 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 3 ms 6996 KB Output is correct
4 Correct 3 ms 6996 KB Output is correct
5 Correct 3 ms 6928 KB Output is correct
6 Correct 3 ms 6868 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 4 ms 9556 KB Output is correct
9 Correct 5 ms 9556 KB Output is correct
10 Correct 6 ms 9428 KB Output is correct
11 Correct 10 ms 9820 KB Output is correct
12 Correct 9 ms 9940 KB Output is correct
13 Correct 6 ms 14804 KB Output is correct
14 Correct 8 ms 14756 KB Output is correct
15 Correct 32 ms 13980 KB Output is correct
16 Correct 7 ms 14012 KB Output is correct
17 Correct 78 ms 14804 KB Output is correct
18 Correct 78 ms 14864 KB Output is correct
19 Correct 7 ms 6996 KB Output is correct
20 Correct 21 ms 54248 KB Output is correct
21 Correct 21 ms 50028 KB Output is correct
22 Execution timed out 1087 ms 52072 KB Time limit exceeded
23 Halted 0 ms 0 KB -

Subtask #9
0.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5588 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 3 ms 6996 KB Output is correct
4 Correct 3 ms 6996 KB Output is correct
5 Correct 3 ms 6928 KB Output is correct
6 Correct 3 ms 6868 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 4 ms 9556 KB Output is correct
9 Correct 5 ms 9556 KB Output is correct
10 Correct 6 ms 9428 KB Output is correct
11 Correct 10 ms 9820 KB Output is correct
12 Correct 9 ms 9940 KB Output is correct
13 Correct 6 ms 14804 KB Output is correct
14 Correct 8 ms 14756 KB Output is correct
15 Correct 32 ms 13980 KB Output is correct
16 Correct 7 ms 14012 KB Output is correct
17 Correct 78 ms 14804 KB Output is correct
18 Correct 78 ms 14864 KB Output is correct
19 Correct 7 ms 6996 KB Output is correct
20 Correct 21 ms 54248 KB Output is correct
21 Correct 21 ms 50028 KB Output is correct
22 Execution timed out 1087 ms 52072 KB Time limit exceeded
23 Halted 0 ms 0 KB -