#include <bits/stdc++.h> using namespace std; #define name "TENBAI" #define fi first #define se second #define endl '\n' #define setmin(x, y) x = min((x), (y)) #define setmax(x, y) x = max((x), (y)) #define sqr(x) ((x) * (x)) #define all(x) x.begin(), x.end() mt19937 hdp(chrono::high_resolution_clock::now().time_since_epoch().count()); int rand(int l, int r){return l + ((hdp() % (r - l + 1)) + r - l + 1) % (r - l + 1);} const int NM = 1e5 + 5; const int LG = 20; pair<int, int> st[NM][LG]; int n, dep[NM], tin[NM], timer; vector<int> g[NM]; void dfs(int u) { st[++timer][0] = {dep[u], u}; tin[u] = timer; for (int v : g[u]) { g[v].erase(find(all(g[v]), u)); dep[v] = dep[u] + 1; dfs(v); st[++timer][0] = {dep[u], u}; } } int lca(int u, int v) { u = tin[u], v = tin[v]; if (u > v) swap(u, v); int lg = __lg(v - u + 1); return min(st[u][lg], st[v - (1 << lg) + 1][lg]).se; } int dist(int u, int v) { return dep[u] + dep[v] - 2 * dep[lca(u, v)]; } #define rep(i, a, b) for(int i = a; i < (b); ++i) #define sz(x) (int)(x).size() typedef long long ll; typedef pair<int, int> pii; typedef vector<int> vi; #include <bits/extc++.h> /// include-line, keep-include const ll INF = numeric_limits<ll>::max() / 4; struct MCMF { struct edge { int from, to, rev; ll cap, cost, flow; }; int N; vector<vector<edge>> ed; vi seen; vector<ll> dist, pi; vector<edge*> par; MCMF(int N) : N(N), ed(N), seen(N), dist(N), pi(N), par(N) {} void addEdge(int from, int to, ll cap, ll cost) { if (from == to) return; ed[from].push_back(edge{ from,to,sz(ed[to]),cap,cost,0 }); ed[to].push_back(edge{ to,from,sz(ed[from])-1,0,-cost,0 }); } void path(int s) { fill(all(seen), 0); fill(all(dist), INF); dist[s] = 0; ll di; __gnu_pbds::priority_queue<pair<ll, int>> q; vector<decltype(q)::point_iterator> its(N); q.push({ 0, s }); while (!q.empty()) { s = q.top().second; q.pop(); seen[s] = 1; di = dist[s] + pi[s]; for (edge& e : ed[s]) if (!seen[e.to]) { ll val = di - pi[e.to] + e.cost; if (e.cap - e.flow > 0 && val < dist[e.to]) { dist[e.to] = val; par[e.to] = &e; if (its[e.to] == q.end()) its[e.to] = q.push({ -dist[e.to], e.to }); else q.modify(its[e.to], { -dist[e.to], e.to }); } } } rep(i,0,N) pi[i] = min(pi[i] + dist[i], INF); } pair<ll, ll> maxflow(int s, int t) { ll totflow = 0, totcost = 0; while (path(s), seen[t]) { ll fl = INF; for (edge* x = par[t]; x; x = par[x->from]) fl = min(fl, x->cap - x->flow); totflow += fl; for (edge* x = par[t]; x; x = par[x->from]) { x->flow += fl; ed[x->to][x->rev].flow -= fl; } } rep(i,0,N) for(edge& e : ed[i]) totcost += e.cost * e.flow; return {totflow, totcost/2}; } // If some costs can be negative, call this before maxflow: void setpi(int s) { // (otherwise, leave this out) fill(all(pi), INF); pi[s] = 0; int it = N, ch = 1; ll v; while (ch-- && it--) rep(i,0,N) if (pi[i] != INF) for (edge& e : ed[i]) if (e.cap) if ((v = pi[i] + e.cost) < pi[e.to]) pi[e.to] = v, ch = 1; assert(it >= 0); // negative cost cycle } }; int ans1[NM], ans2[NM]; void solve() { cin >> n; for (int i = 1; i < n; i++) { int u, v; cin >> u >> v; g[u].push_back(v); g[v].push_back(u); } dfs(1); for (int i = 1; (1 << i) <= timer; i++) for (int j = 1; j + (1 << i) - 1 <= timer; j++) st[j][i] = min(st[j][i - 1], st[j + (1 << i - 1)][i - 1]); MCMF mcmf(2 * n + 2); for (int i = 1; i <= n; i++) { mcmf.addEdge(0, i, 1, 0); mcmf.addEdge(n + i, 2 * n + 1, 1, 0); } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) if (i != j) mcmf.addEdge(i, n + j, 1, dist(i, j)); cout << mcmf.maxflow(0, 2 * n + 1).se << ' ' << 0 << endl; for (auto x : mcmf.ed) for (auto y : x) if (y.flow && y.from >= 1 && y.from <= n) ans1[y.from] = y.to - n; for (int i = 1; i <= n; i++) cout << ans1[i] << " \n"[i == n]; for (int i = 1; i <= n; i++) cout << i << ' '; } signed main() { if (fopen("in.txt", "r")) { freopen("in.txt", "r", stdin); freopen("ans.txt", "w", stdout); } else if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); } ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); int tc = 1; // cin >> tc; while (tc--) solve(); }

Village.cpp: In function 'int main()':
Village.cpp:177:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  177 |         freopen("in.txt", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
Village.cpp:178:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  178 |         freopen("ans.txt", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Village.cpp:182:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  182 |         freopen(name".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Village.cpp:183:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  183 |         freopen(name".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~