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Submission #840619

# Submission time Handle Problem Language Result Execution time Memory
840619 2023-08-31T14:31:39 Z arbuzick Closing Time (IOI23_closing) C++17
59 / 100
 257 ms 51424 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 = 505;

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

long long res[maxn2 * 2], pr_res[maxn2 * 2], suff_res[maxn2][maxn * 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) {
    int mx = 2;
    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 = mx; 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]);
                    }
                }
            }
            mx += sz[u] * 2;
        }
    }
    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 * 2; ++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 <= sz[v] * 2; ++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;
    }
    pr_res[0] = 0;
    for (int i = 1; i <= n * 2; ++i) {
        pr_res[i] = inf;
    }
    suff_res[path.size()][0] = 0;
    for (int i = 1; i <= n * 2; ++i) {
        suff_res[path.size()][i] = inf;
    }
    for (int i = (int)path.size() - 1; i >= 0; --i) {
        for (int cnt_nw = n * 2; cnt_nw >= 0; --cnt_nw) {
            suff_res[i][cnt_nw] = suff_res[i + 1][cnt_nw];
            if (suff_res[i + 1][cnt_nw] == inf) {
                continue;
            }
            for (int cnt_add = 0; cnt_add <= sz[path[i]] * 2 && cnt_nw + cnt_add <= n * 2; ++cnt_add) {
                suff_res[i][cnt_nw + cnt_add] = min(suff_res[i][cnt_nw + cnt_add], suff_res[i + 1][cnt_nw] + dp[path[i]][cnt_add][2]);
            }
        }
    }
    for (int l = 0; l < (int)path.size(); ++l) {
        for (int i = 0; i <= n * 2; ++i) {
            res[i] = pr_res[i];
        }
        for (int r = l + 1; r <= (int)path.size(); ++r) {
            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 i = l; i < r; ++i) {
                add_ans += 2;
                add_k += max(dist_x[path[i]], dist_y[path[i]]);
                if (i == r - 1) {
                    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]];
            }
            while (true) {
                bool change = false;
                if (add_k > k) {
                    break;
                }
                if (add_ans > ans) {
                    ans = add_ans;
                }
                for (int cnt = 0; cnt <= n * 2; ++cnt) {
                    while (ans < n * 2) {
                        if (res[cnt] + add_k + suff_res[r][ans + 1 - cnt - add_ans] <= k) {
                            change = true;
                            ans++;
                        } else {
                            break;
                        }
                    }
                }
                if (!change) {
                    break;
                }
            }
        }
        for (int cnt_nw = n * 2; cnt_nw >= 0; --cnt_nw) {
            if (pr_res[cnt_nw] == inf) {
                continue;
            }
            for (int cnt_add = 0; cnt_add <= sz[path[l]] * 2 && cnt_nw + cnt_add <= n * 2; ++cnt_add) {
                pr_res[cnt_nw + cnt_add] = min(pr_res[cnt_nw + cnt_add], pr_res[cnt_nw] + dp[path[l]][cnt_add][1]);
            }
        }
    }
    return ans;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5204 KB Output is correct

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 220 ms 45560 KB Output is correct
2 Correct 237 ms 51424 KB Output is correct
3 Correct 91 ms 7624 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5076 KB Output is correct
2 Correct 3 ms 5716 KB Output is correct
3 Correct 2 ms 5716 KB Output is correct
4 Correct 2 ms 5844 KB Output is correct
5 Correct 2 ms 5716 KB Output is correct
6 Correct 3 ms 6612 KB Output is correct
7 Correct 3 ms 6484 KB Output is correct
8 Correct 3 ms 6740 KB Output is correct
9 Correct 3 ms 6740 KB Output is correct
10 Correct 3 ms 6996 KB Output is correct
11 Correct 3 ms 6996 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5076 KB Output is correct
2 Correct 3 ms 5716 KB Output is correct
3 Correct 2 ms 5716 KB Output is correct
4 Correct 2 ms 5844 KB Output is correct
5 Correct 2 ms 5716 KB Output is correct
6 Correct 3 ms 6612 KB Output is correct
7 Correct 3 ms 6484 KB Output is correct
8 Correct 3 ms 6740 KB Output is correct
9 Correct 3 ms 6740 KB Output is correct
10 Correct 3 ms 6996 KB Output is correct
11 Correct 3 ms 6996 KB Output is correct
12 Correct 4 ms 8276 KB Output is correct
13 Correct 4 ms 8148 KB Output is correct
14 Correct 5 ms 8404 KB Output is correct
15 Correct 5 ms 8148 KB Output is correct
16 Correct 5 ms 9208 KB Output is correct
17 Correct 5 ms 9172 KB Output is correct
18 Correct 4 ms 5844 KB Output is correct
19 Correct 10 ms 20948 KB Output is correct
20 Correct 9 ms 19668 KB Output is correct
21 Correct 162 ms 25196 KB Output is correct
22 Correct 31 ms 24276 KB Output is correct
23 Correct 145 ms 28884 KB Output is correct
24 Correct 141 ms 28892 KB Output is correct

Subtask #4
0.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5076 KB Output is correct
2 Correct 3 ms 5716 KB Output is correct
3 Correct 2 ms 5716 KB Output is correct
4 Correct 2 ms 5844 KB Output is correct
5 Correct 2 ms 5716 KB Output is correct
6 Correct 3 ms 6612 KB Output is correct
7 Correct 3 ms 6484 KB Output is correct
8 Correct 3 ms 6740 KB Output is correct
9 Correct 3 ms 6740 KB Output is correct
10 Correct 3 ms 6996 KB Output is correct
11 Correct 3 ms 6996 KB Output is correct
12 Correct 4 ms 8276 KB Output is correct
13 Correct 4 ms 8148 KB Output is correct
14 Correct 5 ms 8404 KB Output is correct
15 Correct 5 ms 8148 KB Output is correct
16 Correct 5 ms 9208 KB Output is correct
17 Correct 5 ms 9172 KB Output is correct
18 Correct 4 ms 5844 KB Output is correct
19 Correct 10 ms 20948 KB Output is correct
20 Correct 9 ms 19668 KB Output is correct
21 Correct 162 ms 25196 KB Output is correct
22 Correct 31 ms 24276 KB Output is correct
23 Correct 145 ms 28884 KB Output is correct
24 Correct 141 ms 28892 KB Output is correct
25 Correct 13 ms 7124 KB Output is correct
26 Incorrect 4 ms 5588 KB 1st lines differ - on the 1st token, expected: '5595', found: '4163'
27 Halted 0 ms 0 KB -

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 2 ms 5716 KB Output is correct
5 Correct 2 ms 5844 KB Output is correct
6 Correct 2 ms 5716 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 2 ms 5204 KB Output is correct
9 Correct 2 ms 5332 KB Output is correct
10 Correct 2 ms 5588 KB Output is correct
11 Correct 2 ms 5588 KB Output is correct
12 Correct 3 ms 5460 KB Output is correct
13 Correct 2 ms 5716 KB Output is correct
14 Correct 2 ms 5588 KB Output is correct
15 Correct 3 ms 5716 KB Output is correct
16 Correct 2 ms 5588 KB Output is correct
17 Correct 3 ms 5588 KB Output is correct
18 Correct 3 ms 5716 KB Output is correct
19 Correct 2 ms 5716 KB Output is correct
20 Correct 2 ms 5716 KB Output is correct
21 Correct 3 ms 5588 KB Output is correct
22 Correct 3 ms 5716 KB Output is correct
23 Correct 3 ms 5716 KB Output is correct
24 Correct 2 ms 5588 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 2 ms 5716 KB Output is correct
5 Correct 2 ms 5844 KB Output is correct
6 Correct 2 ms 5716 KB Output is correct
7 Correct 3 ms 6612 KB Output is correct
8 Correct 3 ms 6484 KB Output is correct
9 Correct 3 ms 6740 KB Output is correct
10 Correct 3 ms 6740 KB Output is correct
11 Correct 3 ms 6996 KB Output is correct
12 Correct 3 ms 6996 KB Output is correct
13 Correct 4 ms 8276 KB Output is correct
14 Correct 4 ms 8148 KB Output is correct
15 Correct 5 ms 8404 KB Output is correct
16 Correct 5 ms 8148 KB Output is correct
17 Correct 5 ms 9208 KB Output is correct
18 Correct 5 ms 9172 KB Output is correct
19 Correct 3 ms 5204 KB Output is correct
20 Correct 2 ms 5204 KB Output is correct
21 Correct 2 ms 5332 KB Output is correct
22 Correct 2 ms 5588 KB Output is correct
23 Correct 2 ms 5588 KB Output is correct
24 Correct 3 ms 5460 KB Output is correct
25 Correct 2 ms 5716 KB Output is correct
26 Correct 2 ms 5588 KB Output is correct
27 Correct 3 ms 5716 KB Output is correct
28 Correct 2 ms 5588 KB Output is correct
29 Correct 3 ms 5588 KB Output is correct
30 Correct 3 ms 5716 KB Output is correct
31 Correct 2 ms 5716 KB Output is correct
32 Correct 2 ms 5716 KB Output is correct
33 Correct 3 ms 5588 KB Output is correct
34 Correct 3 ms 5716 KB Output is correct
35 Correct 3 ms 5716 KB Output is correct
36 Correct 2 ms 5588 KB Output is correct
37 Correct 3 ms 5716 KB Output is correct
38 Correct 3 ms 6484 KB Output is correct
39 Correct 4 ms 8276 KB Output is correct
40 Correct 4 ms 8148 KB Output is correct
41 Correct 4 ms 8148 KB Output is correct
42 Correct 4 ms 8148 KB Output is correct
43 Correct 4 ms 8788 KB Output is correct
44 Correct 4 ms 8276 KB Output is correct
45 Correct 4 ms 8532 KB Output is correct
46 Correct 4 ms 8276 KB Output is correct
47 Correct 4 ms 8276 KB Output is correct
48 Correct 5 ms 7764 KB Output is correct
49 Correct 4 ms 6868 KB Output is correct
50 Correct 3 ms 5844 KB Output is correct

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 2 ms 5716 KB Output is correct
5 Correct 2 ms 5844 KB Output is correct
6 Correct 2 ms 5716 KB Output is correct
7 Correct 3 ms 6612 KB Output is correct
8 Correct 3 ms 6484 KB Output is correct
9 Correct 3 ms 6740 KB Output is correct
10 Correct 3 ms 6740 KB Output is correct
11 Correct 3 ms 6996 KB Output is correct
12 Correct 3 ms 6996 KB Output is correct
13 Correct 4 ms 8276 KB Output is correct
14 Correct 4 ms 8148 KB Output is correct
15 Correct 5 ms 8404 KB Output is correct
16 Correct 5 ms 8148 KB Output is correct
17 Correct 5 ms 9208 KB Output is correct
18 Correct 5 ms 9172 KB Output is correct
19 Correct 4 ms 5844 KB Output is correct
20 Correct 10 ms 20948 KB Output is correct
21 Correct 9 ms 19668 KB Output is correct
22 Correct 162 ms 25196 KB Output is correct
23 Correct 31 ms 24276 KB Output is correct
24 Correct 145 ms 28884 KB Output is correct
25 Correct 141 ms 28892 KB Output is correct
26 Correct 3 ms 5204 KB Output is correct
27 Correct 2 ms 5204 KB Output is correct
28 Correct 2 ms 5332 KB Output is correct
29 Correct 2 ms 5588 KB Output is correct
30 Correct 2 ms 5588 KB Output is correct
31 Correct 3 ms 5460 KB Output is correct
32 Correct 2 ms 5716 KB Output is correct
33 Correct 2 ms 5588 KB Output is correct
34 Correct 3 ms 5716 KB Output is correct
35 Correct 2 ms 5588 KB Output is correct
36 Correct 3 ms 5588 KB Output is correct
37 Correct 3 ms 5716 KB Output is correct
38 Correct 2 ms 5716 KB Output is correct
39 Correct 2 ms 5716 KB Output is correct
40 Correct 3 ms 5588 KB Output is correct
41 Correct 3 ms 5716 KB Output is correct
42 Correct 3 ms 5716 KB Output is correct
43 Correct 2 ms 5588 KB Output is correct
44 Correct 3 ms 5716 KB Output is correct
45 Correct 3 ms 6484 KB Output is correct
46 Correct 4 ms 8276 KB Output is correct
47 Correct 4 ms 8148 KB Output is correct
48 Correct 4 ms 8148 KB Output is correct
49 Correct 4 ms 8148 KB Output is correct
50 Correct 4 ms 8788 KB Output is correct
51 Correct 4 ms 8276 KB Output is correct
52 Correct 4 ms 8532 KB Output is correct
53 Correct 4 ms 8276 KB Output is correct
54 Correct 4 ms 8276 KB Output is correct
55 Correct 5 ms 7764 KB Output is correct
56 Correct 4 ms 6868 KB Output is correct
57 Correct 3 ms 5844 KB Output is correct
58 Correct 4 ms 6100 KB Output is correct
59 Correct 5 ms 8148 KB Output is correct
60 Correct 11 ms 9168 KB Output is correct
61 Correct 8 ms 10068 KB Output is correct
62 Correct 8 ms 10068 KB Output is correct
63 Correct 10 ms 20948 KB Output is correct
64 Correct 10 ms 20052 KB Output is correct
65 Correct 19 ms 20052 KB Output is correct
66 Correct 9 ms 19924 KB Output is correct
67 Correct 10 ms 20820 KB Output is correct
68 Correct 101 ms 25812 KB Output is correct
69 Correct 257 ms 26980 KB Output is correct
70 Correct 29 ms 22100 KB Output is correct
71 Correct 40 ms 22740 KB Output is correct
72 Correct 12 ms 20688 KB Output is correct
73 Correct 9 ms 17492 KB Output is correct
74 Correct 9 ms 18132 KB Output is correct
75 Correct 6 ms 8276 KB Output is correct

Subtask #8
0.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 2 ms 5716 KB Output is correct
5 Correct 2 ms 5844 KB Output is correct
6 Correct 2 ms 5716 KB Output is correct
7 Correct 3 ms 6612 KB Output is correct
8 Correct 3 ms 6484 KB Output is correct
9 Correct 3 ms 6740 KB Output is correct
10 Correct 3 ms 6740 KB Output is correct
11 Correct 3 ms 6996 KB Output is correct
12 Correct 3 ms 6996 KB Output is correct
13 Correct 4 ms 8276 KB Output is correct
14 Correct 4 ms 8148 KB Output is correct
15 Correct 5 ms 8404 KB Output is correct
16 Correct 5 ms 8148 KB Output is correct
17 Correct 5 ms 9208 KB Output is correct
18 Correct 5 ms 9172 KB Output is correct
19 Correct 4 ms 5844 KB Output is correct
20 Correct 10 ms 20948 KB Output is correct
21 Correct 9 ms 19668 KB Output is correct
22 Correct 162 ms 25196 KB Output is correct
23 Correct 31 ms 24276 KB Output is correct
24 Correct 145 ms 28884 KB Output is correct
25 Correct 141 ms 28892 KB Output is correct
26 Correct 13 ms 7124 KB Output is correct
27 Incorrect 4 ms 5588 KB 1st lines differ - on the 1st token, expected: '5595', found: '4163'
28 Halted 0 ms 0 KB -

Subtask #9
0.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5204 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 2 ms 5716 KB Output is correct
5 Correct 2 ms 5844 KB Output is correct
6 Correct 2 ms 5716 KB Output is correct
7 Correct 3 ms 6612 KB Output is correct
8 Correct 3 ms 6484 KB Output is correct
9 Correct 3 ms 6740 KB Output is correct
10 Correct 3 ms 6740 KB Output is correct
11 Correct 3 ms 6996 KB Output is correct
12 Correct 3 ms 6996 KB Output is correct
13 Correct 4 ms 8276 KB Output is correct
14 Correct 4 ms 8148 KB Output is correct
15 Correct 5 ms 8404 KB Output is correct
16 Correct 5 ms 8148 KB Output is correct
17 Correct 5 ms 9208 KB Output is correct
18 Correct 5 ms 9172 KB Output is correct
19 Correct 4 ms 5844 KB Output is correct
20 Correct 10 ms 20948 KB Output is correct
21 Correct 9 ms 19668 KB Output is correct
22 Correct 162 ms 25196 KB Output is correct
23 Correct 31 ms 24276 KB Output is correct
24 Correct 145 ms 28884 KB Output is correct
25 Correct 141 ms 28892 KB Output is correct
26 Correct 13 ms 7124 KB Output is correct
27 Incorrect 4 ms 5588 KB 1st lines differ - on the 1st token, expected: '5595', found: '4163'
28 Halted 0 ms 0 KB -