結果

問題 No.1976 Cut then Connect
ユーザー stoqstoq
提出日時 2022-06-10 23:13:04
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 156 ms / 2,000 ms
コード長 8,174 bytes
コンパイル時間 4,294 ms
コンパイル使用メモリ 280,648 KB
実行使用メモリ 17,228 KB
最終ジャッジ日時 2023-08-16 02:41:58
合計ジャッジ時間 7,570 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge13
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 7 ms
5,524 KB
testcase_01 AC 6 ms
5,340 KB
testcase_02 AC 147 ms
16,508 KB
testcase_03 AC 82 ms
11,960 KB
testcase_04 AC 31 ms
7,860 KB
testcase_05 AC 73 ms
11,216 KB
testcase_06 AC 121 ms
14,224 KB
testcase_07 AC 73 ms
11,252 KB
testcase_08 AC 151 ms
17,228 KB
testcase_09 AC 124 ms
15,572 KB
testcase_10 AC 38 ms
8,264 KB
testcase_11 AC 147 ms
17,044 KB
testcase_12 AC 11 ms
5,940 KB
testcase_13 AC 110 ms
14,120 KB
testcase_14 AC 106 ms
13,644 KB
testcase_15 AC 98 ms
13,020 KB
testcase_16 AC 137 ms
16,032 KB
testcase_17 AC 49 ms
9,516 KB
testcase_18 AC 16 ms
6,372 KB
testcase_19 AC 108 ms
14,200 KB
testcase_20 AC 156 ms
16,956 KB
testcase_21 AC 86 ms
12,564 KB
testcase_22 AC 6 ms
5,540 KB
testcase_23 AC 6 ms
5,276 KB
testcase_24 AC 6 ms
5,376 KB
testcase_25 AC 6 ms
5,364 KB
testcase_26 AC 6 ms
5,552 KB
testcase_27 AC 7 ms
5,496 KB
testcase_28 AC 6 ms
5,440 KB
testcase_29 AC 7 ms
5,488 KB
testcase_30 AC 7 ms
5,352 KB
testcase_31 AC 7 ms
5,308 KB
testcase_32 AC 7 ms
5,356 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#define MOD_TYPE 2

#include <bits/stdc++.h>
using namespace std;

#include <atcoder/all>
//#include <atcoder/modint>
//#include <atcoder/lazysegtree>
//#include <atcoder/segtree>

using namespace atcoder;

#if 0
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
using Int = boost::multiprecision::cpp_int;
using lld = boost::multiprecision::cpp_dec_float_100;
#endif

#if 0
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tag_and_trait.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
template <typename T>
using extset =
    tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#endif

#if 0
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif

#pragma region Macros

using ll = long long int;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
template <typename Q_type>
using smaller_queue = priority_queue<Q_type, vector<Q_type>, greater<Q_type>>;

#if MOD_TYPE == 1
constexpr ll MOD = ll(1e9 + 7);
#else
#if MOD_TYPE == 2
constexpr ll MOD = 998244353;
#else
constexpr ll MOD = 1000003;
#endif
#endif

using mint = static_modint<MOD>;
constexpr int INF = (int)1e9 + 10;
constexpr ll LINF = (ll)4e18;
const double PI = acos(-1.0);
constexpr double EPS = 1e-11;
constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0};
constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0};

#define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i)
#define rep(i, n) REP(i, 0, n)
#define REPI(i, m, n) for (int i = m; i < (int)(n); ++i)
#define repi(i, n) REPI(i, 0, n)
#define YES(n) cout << ((n) ? "YES" : "NO") << "\n"
#define Yes(n) cout << ((n) ? "Yes" : "No") << "\n"
#define possible(n) cout << ((n) ? "possible" : "impossible") << "\n"
#define Possible(n) cout << ((n) ? "Possible" : "Impossible") << "\n"
#define all(v) v.begin(), v.end()
#define NP(v) next_permutation(all(v))
#define dbg(x) cerr << #x << ":" << x << "\n";
#define UNIQUE(v) v.erase(unique(all(v)), v.end())

struct io_init {
  io_init() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << setprecision(30) << setiosflags(ios::fixed);
  };
} io_init;
template <typename T>
inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
inline ll floor(ll a, ll b) {
  if (b < 0) a *= -1, b *= -1;
  if (a >= 0) return a / b;
  return -((-a + b - 1) / b);
}
inline ll ceil(ll a, ll b) { return floor(a + b - 1, b); }
template <typename A, size_t N, typename T>
inline void Fill(A (&array)[N], const T &val) {
  fill((T *)array, (T *)(array + N), val);
}
template <typename T>
vector<T> compress(vector<T> &v) {
  vector<T> val = v;
  sort(all(val)), val.erase(unique(all(val)), val.end());
  for (auto &&vi : v) vi = lower_bound(all(val), vi) - val.begin();
  return val;
}
template <typename T, typename U>
constexpr istream &operator>>(istream &is, pair<T, U> &p) noexcept {
  is >> p.first >> p.second;
  return is;
}
template <typename T, typename U>
constexpr ostream &operator<<(ostream &os, pair<T, U> p) noexcept {
  os << p.first << " " << p.second;
  return os;
}
ostream &operator<<(ostream &os, mint m) {
  os << m.val();
  return os;
}
ostream &operator<<(ostream &os, modint m) {
  os << m.val();
  return os;
}
template <typename T>
constexpr istream &operator>>(istream &is, vector<T> &v) noexcept {
  for (int i = 0; i < v.size(); i++) is >> v[i];
  return is;
}
template <typename T>
constexpr ostream &operator<<(ostream &os, vector<T> &v) noexcept {
  for (int i = 0; i < v.size(); i++)
    os << v[i] << (i + 1 == v.size() ? "" : " ");
  return os;
}
template <typename T>
constexpr void operator--(vector<T> &v, int) noexcept {
  for (int i = 0; i < v.size(); i++) v[i]--;
}

random_device seed_gen;
mt19937_64 engine(seed_gen());

struct BiCoef {
  vector<mint> fact_, inv_, finv_;
  BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
    fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
    for (int i = 2; i < n; i++) {
      fact_[i] = fact_[i - 1] * i;
      inv_[i] = -inv_[MOD % i] * (MOD / i);
      finv_[i] = finv_[i - 1] * inv_[i];
    }
  }
  mint C(ll n, ll k) const noexcept {
    if (n < k || n < 0 || k < 0) return 0;
    return fact_[n] * finv_[k] * finv_[n - k];
  }
  mint P(ll n, ll k) const noexcept { return C(n, k) * fact_[k]; }
  mint H(ll n, ll k) const noexcept { return C(n + k - 1, k); }
  mint Ch1(ll n, ll k) const noexcept {
    if (n < 0 || k < 0) return 0;
    mint res = 0;
    for (int i = 0; i < n; i++)
      res += C(n, i) * mint(n - i).pow(k) * (i & 1 ? -1 : 1);
    return res;
  }
  mint fact(ll n) const noexcept {
    if (n < 0) return 0;
    return fact_[n];
  }
  mint inv(ll n) const noexcept {
    if (n < 0) return 0;
    return inv_[n];
  }
  mint finv(ll n) const noexcept {
    if (n < 0) return 0;
    return finv_[n];
  }
};

BiCoef bc(200010);

#pragma endregion

// -------------------------------

template <typename T>
struct ReRooting {
  using F_f = function<T(T, int, int)>;
  using F_g = function<T(T, int)>;
  using F_merge = function<T(T, T)>;
  int V;
  vector<vector<int>> G;
  vector<vector<T>> dp;
  // dp_v = g(merge(f(dp_c1,c1,v), f(dp_c2,c2,v), ..., f(dp_ck,ck,v)), v)
  F_f f;
  F_g g;
  F_merge merge;
  T mi;  // identity of merge

  ReRooting() {}
  ReRooting(int V, F_f f, F_merge merge, T mi, F_g g)
      : V(V), f(f), merge(merge), mi(mi), g(g) {
    G.resize(V);
    dp.resize(V);
  }

  void read(int idx = 1) {
    int a, b;
    for (int i = 0; i < V - 1; ++i) {
      cin >> a >> b;
      a -= idx, b -= idx;
      G[a].emplace_back(b);
      G[b].emplace_back(a);
    }
  }

  void add_edge(int a, int b) {
    G[a].emplace_back(b);
    G[b].emplace_back(a);
  }

  T dfs1(int p, int v) {
    T res = mi;
    for (int i = 0; i < G[v].size(); ++i) {
      if (G[v][i] == p) continue;
      dp[v][i] = dfs1(v, G[v][i]);
      res = merge(res, f(dp[v][i], G[v][i], v));
    }
    return g(res, v);
  }

  void dfs2(int p, int v, T from_par) {
    for (int i = 0; i < G[v].size(); ++i) {
      if (G[v][i] == p) {
        dp[v][i] = from_par;
        break;
      }
    }
    vector<T> pR(G[v].size() + 1);
    pR[G[v].size()] = mi;
    for (int i = G[v].size(); i > 0; --i)
      pR[i - 1] = merge(pR[i], f(dp[v][i - 1], G[v][i - 1], v));
    T pL = mi, val;
    for (int i = 0; i < G[v].size(); ++i) {
      if (G[v][i] != p) {
        val = merge(pL, pR[i + 1]);
        dfs2(v, G[v][i], g(val, v));
      }
      pL = merge(pL, f(dp[v][i], G[v][i], v));
    }
  }

  void calc(int root = 0) {
    for (int i = 0; i < V; ++i) dp[i].resize(G[i].size());
    dfs1(-1, root);
    dfs2(-1, root, mi);
  }

  T solve(int v) {
    T ans = mi;
    for (int i = 0; i < G[v].size(); ++i)
      ans = merge(ans, f(dp[v][i], G[v][i], v));
    return g(ans, v);
  }
};

struct dat {
  int dp0 = -1, dp1 = -INF;
  int dp02 = -INF;
  int val() { return max(dp0, dp1); }
};

void solve() {
  int n;
  cin >> n;
  auto f = [&](dat A, int tmp, int tmp2) { return A; };
  auto merge = [&](dat A, dat B) {
    dat res;
    res.dp1 = max(A.dp1, B.dp1);
    vector<int> v;
    v.push_back(A.dp0);
    v.push_back(A.dp02);
    v.push_back(B.dp0);
    v.push_back(B.dp02);
    sort(all(v));
    reverse(all(v));
    res.dp0 = v[0];
    res.dp02 = v[1];
    return res;
  };
  auto g = [&](dat A, int tmp) {
    dat res = A;
    chmax(res.dp1, A.dp0 + A.dp02 + 2);
    res.dp0++;
    res.dp02 = -INF;
    return res;
  };
  ReRooting<dat> tr(n, f, merge, dat{}, g);
  tr.read();
  rep(i, n) { sort(all(tr.G[i])); }
  tr.calc();
  int ans = INF;
  rep(u, n) {
    rep(j, tr.G[u].size()) {
      int v = tr.G[u][j];
      int L = tr.dp[u][j].val();
      int i = lower_bound(all(tr.G[v]), u) - tr.G[v].begin();
      int R = tr.dp[v][i].val();
      int r = max(L, R);
      chmax(r, (int)ceil(L, 2) + (int)ceil(R, 2) + 1);
      chmin(ans, r);
    }
  }
  cout << ans << "\n";
}

int main() { solve(); }
0