Submission #1017788

#TimeUsernameProblemLanguageResultExecution timeMemory
1017788VMaksimoski008Village (BOI20_village)C++17
100 / 100
46 ms15564 KiB
#include <bits/stdc++.h>

#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
//#define int long long

using namespace std;

using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;

int n;
vector<int> graph[maxn];
ll mn=0, mx=0;
vector<int> ansMn(maxn), ansMx(maxn), sub(maxn), euler;

void dfs(int u, int p) {
    sub[u] = 1;
    euler.push_back(u);
    for(int &v : graph[u]) {
        if(v == p) continue;
        dfs(v, u);
        sub[u] += sub[v];
    }

    mx += min(sub[u], n - sub[u]);

    if(u == ansMn[u]) {
        mn += 2;
        if(p) swap(ansMn[u], ansMn[p]);
        else swap(ansMn[u], ansMn[graph[u].back()]);
    }
}

signed main() {
    ios_base::sync_with_stdio(false);
    cout.tie(0); cin.tie(0);

    cin >> n;
    for(int i=1; i<=n; i++) ansMn[i] = ansMx[i] = i;
    for(int i=0; i<n-1; i++) {
        int a, b;
        cin >> a >> b;
        graph[a].push_back(b);
        graph[b].push_back(a);
    }

    dfs(1, 0);
    cout << mn << " " << 2 * mx << '\n';
    for(int i=0; i<n; i++) ansMx[euler[i]] = euler[(i+n/2)%n];
    for(int i=1; i<=n; i++) cout << ansMn[i] << " ";
    cout << '\n';
    for(int i=1; i<=n; i++) cout << ansMx[i] << " ";
    return 0;
}
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