oj.uz

Submission #634738

# Submission time Handle Problem Language Result Execution time Memory
634738 2022-08-24T19:02:57 Z Olympia Village (BOI20_village) C++17
100 / 100
 221 ms 34836 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
vector<vector<int> > adj;
vector<int> ord;
int t = 0;
int c = 0;
vector<int64_t> pre, post, depth, sub;
vector<vector<int> > dp;
 
bool isAncestor(int u, int v) {
    return (pre[u] <= pre[v] && post[u] >= post[v]);
}
 
int lca(int u, int v) {
    if (isAncestor(u, v)) {
        return u;
    }
    if (isAncestor(v, u)) {
        return v;
    }
    for (int i = 19; i >= 0; i--) {
        if (!isAncestor(dp[u][i], v)) {
            u = dp[u][i];
        }
    }
    return dp[u][0];
}
 
void find_sub(int curNode, int prevNode) {
    sub[curNode] = 1;
    for (int i: adj[curNode]) {
        if (i != prevNode) {
            find_sub(i, curNode), sub[curNode] += sub[i];
        }
    }
}
 
int get_centroid(int curNode, int prevNode) {
    for (int i: adj[curNode]) {
        if (i == prevNode) continue;
        if (sub[i] > (int) adj.size() / 2) return get_centroid(i, curNode);
    }
    return curNode;
}
 
void f(int curNode, int prevNode) {
    depth[curNode] = depth[prevNode] + 1;
    dp[curNode].resize(20);
    dp[curNode][0] = prevNode;
    for (int i = 1; i < 20; i++)dp[curNode][i] = dp[dp[curNode][i - 1]][i - 1];
    ord[curNode] = t++, pre[curNode] = c++;
    for (int i:adj[curNode]) if (i != prevNode)f(i, curNode);
    post[curNode] = c++;
}
 
vector<int> ans;
int tot = 0;
void dfs (int curNode, int prevNode) {
    for (int i: adj[curNode]) {
        if (i == prevNode) continue;
        dfs(i, curNode);
        if (ans[curNode] == -1 && ans[i] == -1) {
            ans[curNode] = i, ans[i] = curNode, tot++;
        } else if (ans[i] == -1) {
            ans[i] = ans[curNode], ans[curNode] = i, tot++;
        }
    }
 
}
 
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n;
    cin >> n;
    adj.resize(n), depth.assign(n, false), dp.resize(n), pre.resize(n), post.resize(n), sub.resize(n);
    for (int i = 0; i < n - 1; i++) {
        int u, v;
        cin >> u >> v;
        u--, v--, adj[u].push_back(v), adj[v].push_back(u);
    }
    find_sub(0, -1);
    ord.resize(n), ans.assign(n, -1);
    int centroid = get_centroid(0, -1);
    f(centroid, centroid);
    dfs(0, -1);
    if (ans[0] == -1) {
        ans[0] = ans[adj[0].back()], ans[adj[0].back()] = 0, tot++;
    }
    int64_t al = 0;
    map<int, int> myMap;
    for (int i = 0; i < ord.size(); i++) {
        myMap[ord[i]] = i;
    }
    vector<int> ansr(n);
    for (int i = 0; i < n; i++) {
        ansr[myMap[i]] = myMap[(i + n / 2 + n) % n];
    }
    for (int i = 0; i < n; i++) {
        al += depth[i] + depth[ansr[i]] - 2 * depth[lca(i, ansr[i])];
    }
    cout << tot * 2 << " " << al << '\n';
    for (int i = 0; i < n; i++) {
        cout << ans[i] + 1 << ' ';
    }
    cout << '\n';
    for (int i: ansr) {
        cout << i + 1 << ' ';
    }
 
 
}

Compilation message

Village.cpp: In function 'int main()':
Village.cpp:94:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   94 |     for (int i = 0; i < ord.size(); i++) {
      |                     ~~^~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 320 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 320 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 316 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 596 KB Output is correct
5 Correct 2 ms 580 KB Output is correct
6 Correct 2 ms 596 KB Output is correct
7 Correct 1 ms 584 KB Output is correct
8 Correct 1 ms 584 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 584 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 1 ms 596 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 2 ms 576 KB Output is correct
15 Correct 1 ms 532 KB Output is correct
16 Correct 1 ms 580 KB Output is correct
17 Correct 1 ms 596 KB Output is correct
18 Correct 1 ms 572 KB Output is correct
19 Correct 1 ms 596 KB Output is correct
20 Correct 1 ms 596 KB Output is correct
21 Correct 2 ms 596 KB Output is correct
22 Correct 1 ms 596 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 596 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 2 ms 596 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 320 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 320 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 316 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 596 KB Output is correct
22 Correct 2 ms 580 KB Output is correct
23 Correct 2 ms 596 KB Output is correct
24 Correct 1 ms 584 KB Output is correct
25 Correct 1 ms 584 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 584 KB Output is correct
28 Correct 1 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 2 ms 576 KB Output is correct
32 Correct 1 ms 532 KB Output is correct
33 Correct 1 ms 580 KB Output is correct
34 Correct 1 ms 596 KB Output is correct
35 Correct 1 ms 572 KB Output is correct
36 Correct 1 ms 596 KB Output is correct
37 Correct 1 ms 596 KB Output is correct
38 Correct 2 ms 596 KB Output is correct
39 Correct 1 ms 596 KB Output is correct
40 Correct 2 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 596 KB Output is correct
46 Correct 1 ms 596 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 141 ms 26328 KB Output is correct
49 Correct 157 ms 28992 KB Output is correct
50 Correct 157 ms 28968 KB Output is correct
51 Correct 117 ms 22604 KB Output is correct
52 Correct 147 ms 28648 KB Output is correct
53 Correct 136 ms 25844 KB Output is correct
54 Correct 83 ms 17392 KB Output is correct
55 Correct 221 ms 34836 KB Output is correct
56 Correct 207 ms 31820 KB Output is correct
57 Correct 200 ms 30432 KB Output is correct
58 Correct 189 ms 29900 KB Output is correct
59 Correct 163 ms 29072 KB Output is correct
60 Correct 130 ms 29124 KB Output is correct
61 Correct 149 ms 29328 KB Output is correct
62 Correct 154 ms 29364 KB Output is correct
63 Correct 143 ms 27540 KB Output is correct
64 Correct 150 ms 29248 KB Output is correct
65 Correct 144 ms 29420 KB Output is correct
66 Correct 134 ms 27596 KB Output is correct
67 Correct 99 ms 21644 KB Output is correct
68 Correct 120 ms 24908 KB Output is correct
69 Correct 139 ms 29444 KB Output is correct
70 Correct 140 ms 27620 KB Output is correct
71 Correct 93 ms 20624 KB Output is correct
72 Correct 104 ms 23292 KB Output is correct
73 Correct 142 ms 29420 KB Output is correct
74 Correct 123 ms 26852 KB Output is correct
75 Correct 157 ms 28816 KB Output is correct
76 Correct 154 ms 28792 KB Output is correct
77 Correct 133 ms 27708 KB Output is correct
78 Correct 92 ms 19528 KB Output is correct
79 Correct 116 ms 22572 KB Output is correct
80 Correct 153 ms 28868 KB Output is correct
81 Correct 151 ms 27764 KB Output is correct
82 Correct 138 ms 29044 KB Output is correct