oj.uz

Submission #555277

# Submission time Handle Problem Language Result Execution time Memory
555277 2022-04-30T11:09:10 Z ddy888 Village (BOI20_village) C++17
100 / 100
 116 ms 20320 KB 
#undef _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
void debug_out() {cerr<<endl;}
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {cerr<<" "<<to_string(H);debug_out(T...);}
#define debug(...) cerr<<"["<<#__VA_ARGS__<<"]:",debug_out(__VA_ARGS__)
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define int long long 
#define pb push_back
#define fi first
#define si second
typedef pair<int,int> pi;
typedef vector<int> vi;
typedef tuple<int,int,int> ti;  
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const int MAXN = 100010;
int n, c, cnt;
vector<int> g[MAXN], nodes;
int minans, maxans;
int par[MAXN];
int sz[MAXN];
int vis[MAXN];
int pos[MAXN], dep[MAXN];
int mnc[MAXN], mxc[MAXN];
vector<int> order;

void getsz(int x, int fa) {
    sz[x] = 1;
    par[x] = fa;
    dep[x] = dep[fa] + 1;
    for (auto i: g[x]) {
        if (i == fa) 
            continue;
        getsz(i, x);
        sz[x] += sz[i];
    }
}

int centroid(int x, int fa) {
    for (auto i: g[x]) {
        if (i == fa)
            continue;
        if (sz[i] * 2 > n)
            return centroid(i, x);
    }
    return x;
}

void dfs(int x, int fa) {
    order.pb(x);
    for (auto i: g[x]) {
        if (i == fa)
            continue;
        dfs(i, x);
    }
}

signed main() {
    fast;
    cin >> n;
    for (int i = 1; i < n; ++i) {
        int u, v; cin >> u >> v;
        g[u].pb(v);
        g[v].pb(u);
    }
    getsz(1, 1);
    c = centroid(1, 1);
    // Minimum
    for (int i = 1; i <= n; ++i) { 
        nodes.pb(i);
        pos[i] = i;
    }
    sort(nodes.begin(), nodes.end(), [](int a, int b) {
        return sz[a] < sz[b];
    });
    for (auto i: nodes) {
        if (vis[i])
            continue;
        bool ok = false;
        for (auto j: g[i]) {
            if (vis[j])
                continue;
            minans += 2, vis[j] = 1, ok = true;
            swap(pos[i], pos[j]);
            break;
        }
        if (!ok) {
            minans += 2;
            swap(pos[i], pos[par[i]]);
            if (i == par[i])
                swap(pos[i], pos[g[i].back()]);
        }
        vis[i] = 1;
    }
    for (int i = 1; i <= n; ++i)
        mnc[pos[i]] = i;

    // Maximum
    getsz(c, c);
    for (int i = 1; i <= n; ++i) {
        for (auto j: g[i]) {
            int hi = i, lo = j;
            if (dep[i] > dep[j])
                swap(lo, hi);
            maxans += min(n - sz[lo] + 1, sz[lo]);
        }
    }
    dfs(c, c);
    for (int i = 0; i < n; ++i) {
        int u = order[i], v = order[(i + n / 2) % n];
        mxc[u] = v;
    }

    cout << minans << ' ' << maxans << '\n';
    for (int i = 1; i <= n; ++i)
        cout << mnc[i] << ' ';
    cout << '\n';
    for (int i = 1; i <= n; ++i)
        cout << mxc[i] << ' ';
    return 0;
}

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 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 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 2644 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 1 ms 2644 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 1 ms 2644 KB Output is correct
15 Correct 1 ms 2644 KB Output is correct
16 Correct 1 ms 2644 KB Output is correct
17 Correct 2 ms 2644 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 2772 KB Output is correct
3 Correct 2 ms 2772 KB Output is correct
4 Correct 2 ms 2772 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2764 KB Output is correct
7 Correct 2 ms 2772 KB Output is correct
8 Correct 2 ms 2772 KB Output is correct
9 Correct 2 ms 2772 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 2 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2772 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 2 ms 2772 KB Output is correct
16 Correct 3 ms 2772 KB Output is correct
17 Correct 2 ms 2772 KB Output is correct
18 Correct 4 ms 2772 KB Output is correct
19 Correct 3 ms 2772 KB Output is correct
20 Correct 2 ms 2772 KB Output is correct
21 Correct 2 ms 2772 KB Output is correct
22 Correct 3 ms 2772 KB Output is correct
23 Correct 2 ms 2772 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 2 ms 2772 KB Output is correct
26 Correct 2 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 2 ms 2772 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 2 ms 2772 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 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 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 2644 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 1 ms 2644 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 1 ms 2644 KB Output is correct
15 Correct 1 ms 2644 KB Output is correct
16 Correct 1 ms 2644 KB Output is correct
17 Correct 2 ms 2644 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 2 ms 2772 KB Output is correct
20 Correct 2 ms 2772 KB Output is correct
21 Correct 2 ms 2772 KB Output is correct
22 Correct 2 ms 2772 KB Output is correct
23 Correct 2 ms 2764 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 2 ms 2772 KB Output is correct
26 Correct 2 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 2 ms 2772 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 2 ms 2772 KB Output is correct
31 Correct 2 ms 2772 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 3 ms 2772 KB Output is correct
34 Correct 2 ms 2772 KB Output is correct
35 Correct 4 ms 2772 KB Output is correct
36 Correct 3 ms 2772 KB Output is correct
37 Correct 2 ms 2772 KB Output is correct
38 Correct 2 ms 2772 KB Output is correct
39 Correct 3 ms 2772 KB Output is correct
40 Correct 2 ms 2772 KB Output is correct
41 Correct 2 ms 2772 KB Output is correct
42 Correct 2 ms 2772 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2772 KB Output is correct
45 Correct 2 ms 2772 KB Output is correct
46 Correct 2 ms 2772 KB Output is correct
47 Correct 2 ms 2772 KB Output is correct
48 Correct 76 ms 13764 KB Output is correct
49 Correct 102 ms 14820 KB Output is correct
50 Correct 83 ms 14772 KB Output is correct
51 Correct 63 ms 12092 KB Output is correct
52 Correct 98 ms 14696 KB Output is correct
53 Correct 74 ms 13504 KB Output is correct
54 Correct 48 ms 11252 KB Output is correct
55 Correct 116 ms 20320 KB Output is correct
56 Correct 98 ms 17504 KB Output is correct
57 Correct 96 ms 16504 KB Output is correct
58 Correct 94 ms 15740 KB Output is correct
59 Correct 76 ms 14908 KB Output is correct
60 Correct 52 ms 14928 KB Output is correct
61 Correct 57 ms 15000 KB Output is correct
62 Correct 59 ms 15140 KB Output is correct
63 Correct 57 ms 14420 KB Output is correct
64 Correct 73 ms 15168 KB Output is correct
65 Correct 62 ms 15296 KB Output is correct
66 Correct 56 ms 14464 KB Output is correct
67 Correct 43 ms 11752 KB Output is correct
68 Correct 52 ms 13444 KB Output is correct
69 Correct 62 ms 15376 KB Output is correct
70 Correct 54 ms 14616 KB Output is correct
71 Correct 40 ms 11552 KB Output is correct
72 Correct 45 ms 12616 KB Output is correct
73 Correct 59 ms 15304 KB Output is correct
74 Correct 52 ms 14224 KB Output is correct
75 Correct 81 ms 15292 KB Output is correct
76 Correct 87 ms 14680 KB Output is correct
77 Correct 69 ms 14840 KB Output is correct
78 Correct 43 ms 11020 KB Output is correct
79 Correct 49 ms 12204 KB Output is correct
80 Correct 79 ms 15296 KB Output is correct
81 Correct 65 ms 14972 KB Output is correct
82 Correct 63 ms 14932 KB Output is correct