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답안 #546662

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
546662 2022-04-08T02:10:59 Z Olympia Village (BOI20_village) C++17
100 / 100
 222 ms 34828 KB 
#include <cmath>
#include <iostream>
#include <set>
#include <climits>
#include <cstdio>
#include <algorithm>
#include <cassert>
#include <string>
#include <vector>
#include <iomanip>
#include <unordered_map>
#include <type_traits>
#include <string>
#include <queue>
#include <map>

#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")


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) {
    //cout << curNode << " " << prevNode << endl;
    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:18: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
   18 | #pragma GCC optimization ("O3")
      | 
Village.cpp:19: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
   19 | #pragma GCC optimization ("unroll-loops")
      | 
Village.cpp: In function 'int main()':
Village.cpp:120:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  120 |     for (int i = 0; i < ord.size(); i++) myMap[ord[i]] = i;
      |                     ~~^~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct

Subtask #2
38.0 / 38.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 340 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 1 ms 596 KB Output is correct
6 Correct 2 ms 596 KB Output is correct
7 Correct 2 ms 584 KB Output is correct
8 Correct 2 ms 576 KB Output is correct
9 Correct 2 ms 580 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 2 ms 596 KB Output is correct
12 Correct 1 ms 596 KB Output is correct
13 Correct 3 ms 596 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 580 KB Output is correct
17 Correct 2 ms 596 KB Output is correct
18 Correct 1 ms 596 KB Output is correct
19 Correct 2 ms 596 KB Output is correct
20 Correct 2 ms 576 KB Output is correct
21 Correct 2 ms 596 KB Output is correct
22 Correct 2 ms 596 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 2 ms 596 KB Output is correct
27 Correct 1 ms 448 KB Output is correct
28 Correct 2 ms 596 KB Output is correct
29 Correct 2 ms 596 KB Output is correct
30 Correct 2 ms 596 KB Output is correct

Subtask #3
50.0 / 50.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 316 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 340 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 1 ms 596 KB Output is correct
23 Correct 2 ms 596 KB Output is correct
24 Correct 2 ms 584 KB Output is correct
25 Correct 2 ms 576 KB Output is correct
26 Correct 2 ms 580 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 2 ms 596 KB Output is correct
29 Correct 1 ms 596 KB Output is correct
30 Correct 3 ms 596 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 1 ms 580 KB Output is correct
34 Correct 2 ms 596 KB Output is correct
35 Correct 1 ms 596 KB Output is correct
36 Correct 2 ms 596 KB Output is correct
37 Correct 2 ms 576 KB Output is correct
38 Correct 2 ms 596 KB Output is correct
39 Correct 2 ms 596 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 468 KB Output is correct
43 Correct 2 ms 596 KB Output is correct
44 Correct 1 ms 448 KB Output is correct
45 Correct 2 ms 596 KB Output is correct
46 Correct 2 ms 596 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 153 ms 26356 KB Output is correct
49 Correct 178 ms 28956 KB Output is correct
50 Correct 161 ms 28976 KB Output is correct
51 Correct 144 ms 22628 KB Output is correct
52 Correct 153 ms 28600 KB Output is correct
53 Correct 136 ms 25804 KB Output is correct
54 Correct 88 ms 17268 KB Output is correct
55 Correct 222 ms 34828 KB Output is correct
56 Correct 208 ms 31792 KB Output is correct
57 Correct 210 ms 30460 KB Output is correct
58 Correct 189 ms 29820 KB Output is correct
59 Correct 167 ms 29004 KB Output is correct
60 Correct 129 ms 29072 KB Output is correct
61 Correct 147 ms 29260 KB Output is correct
62 Correct 160 ms 29296 KB Output is correct
63 Correct 148 ms 27588 KB Output is correct
64 Correct 145 ms 29376 KB Output is correct
65 Correct 167 ms 29460 KB Output is correct
66 Correct 132 ms 27520 KB Output is correct
67 Correct 104 ms 21732 KB Output is correct
68 Correct 119 ms 24908 KB Output is correct
69 Correct 143 ms 29544 KB Output is correct
70 Correct 139 ms 27544 KB Output is correct
71 Correct 96 ms 20632 KB Output is correct
72 Correct 108 ms 23300 KB Output is correct
73 Correct 140 ms 29460 KB Output is correct
74 Correct 131 ms 26932 KB Output is correct
75 Correct 171 ms 28824 KB Output is correct
76 Correct 153 ms 28752 KB Output is correct
77 Correct 139 ms 27760 KB Output is correct
78 Correct 93 ms 19532 KB Output is correct
79 Correct 107 ms 22572 KB Output is correct
80 Correct 151 ms 28940 KB Output is correct
81 Correct 147 ms 27844 KB Output is correct
82 Correct 143 ms 29000 KB Output is correct