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Submission #741552

# Submission time Handle Problem Language Result Execution time Memory
741552 2023-05-14T10:25:27 Z Stickfish Village (BOI20_village) C++17
100 / 100
 191 ms 17748 KB 
#include <iostream>
#include <vector>
#include <bitset>
#include <algorithm>
#include <numeric>
using namespace std;
using ll = long long;;

const int MAXN = 1e5 + 123;
vector<int> edg[MAXN];
bitset<MAXN> used;
int rt[MAXN];

bool dfs_getmark(int v, bitset<MAXN>& mark) {
    bool is_edge = false;
    for (auto u : edg[v]) {
        if (u == rt[v])
            continue;
        rt[u] = v;
        is_edge |= dfs_getmark(u, mark);
    }
    if (v == 0) {
        mark[v] = 1;
        if (is_edge)
            return true;
        for (auto u : edg[v]) {
            if (u == rt[v])
                continue;
            mark[u] = 0;
            return true;
        }
    }
    if (is_edge)
        mark[v] = 1;
    return !is_edge;
}

void dfs_onmark(int v, bitset<MAXN>& mark, vector<int>& ans) {
    ans.push_back(v);
    for (auto u : edg[v]) {
        if (u == rt[v] || mark[u])
            continue;
        dfs_onmark(u, mark, ans);
    }
}

pair<int, vector<int>> solve_min(int n) {
    used = 0;
    bitset<MAXN> mark;
    dfs_getmark(0, mark);
    vector<int> ans(n);
    for (int i = 0; i < n; i = mark._Find_next(i)) {
        vector<int> ccl;
        dfs_onmark(i, mark, ccl);
        int m = ccl.size();
        for (int j = 0; j < m; ++j) {
            ans[ccl[j]] = ccl[(j + 1) % m];
        }
    }
    return {2 * (n - mark.count()), ans};
}

int depth[MAXN];
int sz[MAXN];

void init_dfs(int v) {
    sz[v] = 1;
    for (auto u : edg[v]) {
        if (u == rt[v])
            continue;
        rt[u] = v;
        depth[u] = depth[v] + 1;
        init_dfs(u);
        sz[v] += sz[u];
    }
}

int find_centroid(int v) {
    for (auto u : edg[v]) {
        if (u == rt[v])
            continue;
        if (sz[u] * 2 > sz[0])
            return find_centroid(u);
    }
    return v;
}

void dfs_tin(int v, vector<int>& ans) {
    ans.push_back(v);
    for (auto u : edg[v]) {
        if (u == rt[v])
            continue;
        dfs_tin(u, ans);
    }
}

pair<ll, vector<int>> solve_max(int n) {
    used = 0;
    for (int i = 0; i < n; ++i)
        rt[i] = -1;
    init_dfs(0);
    int ctr = find_centroid(0);
    for (int i = 0; i < n; ++i)
        rt[i] = -1;
    depth[ctr] = 0;
    init_dfs(ctr);
    vector<int> tin;
    dfs_tin(ctr, tin);
    vector<int> ans(n);
    ll smd = 0;
    //for (auto x : tin)
        //cout << x + 1 << ' ';
    //cout << endl;
    for (int i = 0; i < n; ++i) {
        ans[tin[i]] = tin[(i + n / 2) % n];
        smd += depth[i];
    }
    return {smd * 2, ans};
}

signed main() {
    int n;
    cin >> n;
    for (int i = 0; i < n - 1; ++i) {
        int u, v;
        cin >> u >> v;
        --u, --v;
        edg[u].push_back(v);
        edg[v].push_back(u);
    }
    auto ansmn = solve_min(n);
    auto ansmx = solve_max(n);
    cout << ansmn.first << ' ' << ansmx.first << '\n';
    for (auto x : ansmn.second)
        cout << x + 1 << ' ';
    cout << '\n';
    for (auto x : ansmx.second)
        cout << x + 1 << ' ';
    cout << '\n';
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 1 ms 2660 KB Output is correct
4 Correct 2 ms 2660 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2572 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 2 ms 2656 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 1 ms 2656 KB Output is correct
16 Correct 2 ms 2664 KB Output is correct
17 Correct 2 ms 2660 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2660 KB Output is correct
3 Correct 3 ms 2644 KB Output is correct
4 Correct 3 ms 2644 KB Output is correct
5 Correct 3 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 3 ms 2772 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2668 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 3 ms 2664 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 3 ms 2644 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 3 ms 2664 KB Output is correct
18 Correct 3 ms 2644 KB Output is correct
19 Correct 2 ms 2644 KB Output is correct
20 Correct 3 ms 2664 KB Output is correct
21 Correct 2 ms 2644 KB Output is correct
22 Correct 2 ms 2644 KB Output is correct
23 Correct 2 ms 2644 KB Output is correct
24 Correct 3 ms 2644 KB Output is correct
25 Correct 2 ms 2644 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 3 ms 2644 KB Output is correct
29 Correct 3 ms 2772 KB Output is correct
30 Correct 3 ms 2660 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 1 ms 2660 KB Output is correct
4 Correct 2 ms 2660 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 2 ms 2572 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 2 ms 2656 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 1 ms 2656 KB Output is correct
16 Correct 2 ms 2664 KB Output is correct
17 Correct 2 ms 2660 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 2 ms 2660 KB Output is correct
20 Correct 3 ms 2644 KB Output is correct
21 Correct 3 ms 2644 KB Output is correct
22 Correct 3 ms 2644 KB Output is correct
23 Correct 2 ms 2644 KB Output is correct
24 Correct 3 ms 2772 KB Output is correct
25 Correct 2 ms 2644 KB Output is correct
26 Correct 2 ms 2668 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 3 ms 2664 KB Output is correct
29 Correct 2 ms 2644 KB Output is correct
30 Correct 2 ms 2644 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 3 ms 2644 KB Output is correct
33 Correct 2 ms 2644 KB Output is correct
34 Correct 3 ms 2664 KB Output is correct
35 Correct 3 ms 2644 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 3 ms 2664 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 2 ms 2644 KB Output is correct
40 Correct 2 ms 2644 KB Output is correct
41 Correct 3 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 2 ms 2644 KB Output is correct
45 Correct 3 ms 2644 KB Output is correct
46 Correct 3 ms 2772 KB Output is correct
47 Correct 3 ms 2660 KB Output is correct
48 Correct 116 ms 9808 KB Output is correct
49 Correct 126 ms 10676 KB Output is correct
50 Correct 112 ms 10700 KB Output is correct
51 Correct 90 ms 8860 KB Output is correct
52 Correct 146 ms 10520 KB Output is correct
53 Correct 107 ms 9656 KB Output is correct
54 Correct 68 ms 9964 KB Output is correct
55 Correct 191 ms 17748 KB Output is correct
56 Correct 131 ms 14020 KB Output is correct
57 Correct 157 ms 12812 KB Output is correct
58 Correct 122 ms 11776 KB Output is correct
59 Correct 112 ms 10076 KB Output is correct
60 Correct 87 ms 11248 KB Output is correct
61 Correct 91 ms 10876 KB Output is correct
62 Correct 101 ms 10956 KB Output is correct
63 Correct 90 ms 10428 KB Output is correct
64 Correct 103 ms 10848 KB Output is correct
65 Correct 120 ms 10956 KB Output is correct
66 Correct 94 ms 10480 KB Output is correct
67 Correct 69 ms 8656 KB Output is correct
68 Correct 86 ms 9704 KB Output is correct
69 Correct 107 ms 10840 KB Output is correct
70 Correct 96 ms 10516 KB Output is correct
71 Correct 61 ms 8388 KB Output is correct
72 Correct 69 ms 9196 KB Output is correct
73 Correct 107 ms 11068 KB Output is correct
74 Correct 97 ms 10348 KB Output is correct
75 Correct 137 ms 10416 KB Output is correct
76 Correct 161 ms 10360 KB Output is correct
77 Correct 108 ms 10708 KB Output is correct
78 Correct 70 ms 7932 KB Output is correct
79 Correct 78 ms 8908 KB Output is correct
80 Correct 120 ms 10464 KB Output is correct
81 Correct 94 ms 10732 KB Output is correct
82 Correct 94 ms 10820 KB Output is correct