CP-templates

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View the Project on GitHub Misuki743/CP-templates

:heavy_check_mark: test/jump_on_tree_3.test.cpp

Depends on

Code

#define PROBLEM "https://judge.yosupo.jp/problem/jump_on_tree"

#include "../default/t.cpp"
#include "../tree/HLD.cpp"

signed main() {
  ios::sync_with_stdio(false), cin.tie(NULL);

  int n, q; cin >> n >> q;
  vc<pii> e(n - 1);
  for(auto &[u, v] : e)
    cin >> u >> v;
  mt19937_64 rng(clock);
  HLD hld(std::move(e), rng() % n);
  while(q--) {
    int s, t, k; cin >> s >> t >> k;
    cout << hld.kth(s, t, k) << '\n';
  }

  return 0;
}
#line 1 "test/jump_on_tree_3.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/jump_on_tree"

#line 1 "default/t.cpp"
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <variant>
#include <bit>
#include <compare>
#include <concepts>
#include <numbers>
#include <ranges>
#include <span>

#define INT128_MAX (__int128)(((unsigned __int128) 1 << ((sizeof(__int128) * __CHAR_BIT__) - 1)) - 1)
#define INT128_MIN (-INT128_MAX - 1)

#define pb push_back
#define eb emplace_back
#define clock chrono::steady_clock::now().time_since_epoch().count()

using namespace std;

template<size_t I = 0, typename... args>
ostream& print_tuple(ostream& os, const tuple<args...> tu) {
  os << get<I>(tu);
  if constexpr (I + 1 != sizeof...(args)) {
    os << ' ';
    print_tuple<I + 1>(os, tu);
  }
  return os;
}
template<typename... args>
ostream& operator<<(ostream& os, const tuple<args...> tu) {
  return print_tuple(os, tu);
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2> pr) {
  return os << pr.first << ' ' << pr.second;
}
template<class T, size_t N>
ostream& operator<<(ostream& os, const array<T, N> &arr) {
  for(size_t i = 0; T x : arr) {
    os << x;
    if (++i != N) os << ' ';
  }
  return os;
}
template<class T>
ostream& operator<<(ostream& os, const vector<T> &vec) {
  for(size_t i = 0; T x : vec) {
    os << x;
    if (++i != size(vec)) os << ' ';
  }
  return os;
}
template<class T>
ostream& operator<<(ostream& os, const set<T> &s) {
  for(size_t i = 0; T x : s) {
    os << x;
    if (++i != size(s)) os << ' ';
  }
  return os;
}
template<class T>
ostream& operator<<(ostream& os, const multiset<T> &s) {
  for(size_t i = 0; T x : s) {
    os << x;
    if (++i != size(s)) os << ' ';
  }
  return os;
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const map<T1, T2> &m) {
  for(size_t i = 0; pair<T1, T2> x : m) {
    os << x.first << " : " << x.second;
    if (++i != size(m)) os << ", ";
  }
  return os;
}

#ifdef DEBUG
#define dbg(...) cerr << '(', _do(#__VA_ARGS__), cerr << ") = ", _do2(__VA_ARGS__)
template<typename T> void _do(T &&x) { cerr << x; }
template<typename T, typename ...S> void _do(T &&x, S&&...y) { cerr << x << ", "; _do(y...); }
template<typename T> void _do2(T &&x) { cerr << x << endl; }
template<typename T, typename ...S> void _do2(T &&x, S&&...y) { cerr << x << ", "; _do2(y...); }
#else
#define dbg(...)
#endif

using ll = long long;
using ull = unsigned long long;
using ldb = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

template<typename T> using vc = vector<T>;
template<typename T> using vvc = vc<vc<T>>;
template<typename T> using vvvc = vc<vvc<T>>;

using vi = vc<int>;
using vll = vc<ll>;
using vvi = vvc<int>;
using vvll = vvc<ll>;

template<typename T> using min_heap = priority_queue<T, vc<T>, greater<T>>;
template<typename T> using max_heap = priority_queue<T>;

template<typename R, typename F, typename... Args>
concept R_invocable = requires(F&& f, Args&&... args) {
  { std::invoke(std::forward<F>(f), std::forward<Args>(args)...) } -> std::same_as<R>;
};
template<ranges::forward_range rng, class T = ranges::range_value_t<rng>, typename F>
requires R_invocable<T, F, T, T>
void pSum(rng &&v, F f) {
  if (!v.empty())
    for(T p = *v.begin(); T &x : v | views::drop(1))
      x = p = f(p, x);
}
template<ranges::forward_range rng, class T = ranges::range_value_t<rng>>
void pSum(rng &&v) {
  if (!v.empty())
    for(T p = *v.begin(); T &x : v | views::drop(1))
      x = p = p + x;
}

template<ranges::forward_range rng>
void Unique(rng &v) {
  ranges::sort(v);
  v.resize(unique(v.begin(), v.end()) - v.begin());
}

template<ranges::random_access_range rng>
rng invPerm(rng p) {
  rng ret = p;
  for(int i = 0; i < ssize(p); i++)
    ret[p[i]] = i;
  return ret;
}

template<ranges::random_access_range rng>
vi argSort(rng p) {
  vi id(size(p));
  iota(id.begin(), id.end(), 0);
  ranges::sort(id, {}, [&](int i) { return pair(p[i], i); });
  return id;
}

template<ranges::random_access_range rng, class T = ranges::range_value_t<rng>, typename F>
requires invocable<F, T&>
vi argSort(rng p, F proj) {
  vi id(size(p));
  iota(id.begin(), id.end(), 0);
  ranges::sort(id, {}, [&](int i) { return pair(proj(p[i]), i); });
  return id;
}

template<bool directed>
vvi read_graph(int n, int m, int base) {
  vvi g(n);
  for(int i = 0; i < m; i++) {
    int u, v; cin >> u >> v;
    u -= base, v -= base;
    g[u].emplace_back(v);
    if constexpr (!directed)
      g[v].emplace_back(u);
  }
  return g;
}

template<bool directed>
vvi adjacency_list(int n, vc<pii> e, int base) {
  vvi g(n);
  for(auto [u, v] : e) {
    u -= base, v -= base;
    g[u].emplace_back(v);
    if constexpr (!directed)
      g[v].emplace_back(u);
  }
  return g;
}

template<class T>
void setBit(T &msk, int bit, bool x) { (msk &= ~(T(1) << bit)) |= T(x) << bit; }
template<class T> void onBit(T &msk, int bit) { setBit(msk, bit, true); }
template<class T> void offBit(T &msk, int bit) { setBit(msk, bit, false); }
template<class T> void flipBit(T &msk, int bit) { msk ^= T(1) << bit; }
template<class T> bool getBit(T msk, int bit) { return msk >> bit & T(1); }

template<class T>
T floorDiv(T a, T b) {
  if (b < 0) a *= -1, b *= -1;
  return a >= 0 ? a / b : (a - b + 1) / b;
}
template<class T>
T ceilDiv(T a, T b) {
  if (b < 0) a *= -1, b *= -1;
  return a >= 0 ? (a + b - 1) / b : a / b;
}

template<class T> bool chmin(T &a, T b) { return a > b ? a = b, 1 : 0; }
template<class T> bool chmax(T &a, T b) { return a < b ? a = b, 1 : 0; }

#line 1 "tree/HLD.cpp"
struct HLD {
  static const int MSK = (1 << 30);
  vi dep, p_head, tin, tout, inv_tin;

  inline int head(int v) const { return (p_head[v] & MSK) ? v : p_head[v]; }
  inline int head_parent(int v) const { return p_head[head(v)] & (MSK - 1); }

  HLD(vc<pii> e, int root = 0) {
    const int n = ssize(e) + 1;

    dep = p_head = tin = tout = vi(n);

    vi sz(n, 1), mx_child_sz(n, -1);
    {
      vi d(n);
      for(auto [u, v] : e)
        p_head[u] ^= v, p_head[v] ^= u, d[u]++, d[v]++;
      d[root] = 0;
      for(int i = 0; i < n; i++) {
        int v = i;
        while(d[v] == 1) {
          d[v] = 0, d[p_head[v]]--, p_head[p_head[v]] ^= v;
          sz[p_head[v]] += sz[v];
          chmax(mx_child_sz[p_head[v]], sz[v]);
          v = p_head[v];
        }
      }
    }

    vi ord(n);
    {
      vi f(n + 2);
      for(int x : sz) f[x + 1]++;
      pSum(f);
      for(int v = 0; v < n; v++)
        ord[n - 1 - (f[sz[v]]++)] = v;
    }

    {
      p_head[root] = (root | MSK), tout[root] = n;

      vi add(n, 1);
      for(int v : ord | views::drop(1)) {
        dep[v] = dep[p_head[v]] + 1;
        tin[v] = tin[p_head[v]] + add[p_head[v]];
        add[p_head[v]] += sz[v];
        tout[v] = tin[v] + sz[v];
        if (mx_child_sz[p_head[v]] == sz[v])
          mx_child_sz[p_head[v]] = 0, p_head[v] = head(p_head[v]);
        else
          p_head[v] |= MSK;
      }
    }

    inv_tin = invPerm(tin);
  }

  auto query_path(int u, int v, bool edge = false) {
    vc<pii> lr;
    while(head(u) != head(v)) {
      if (dep[head(u)] > dep[head(v)])
        swap(u, v);
      lr.emplace_back(tin[head(v)], tin[v] + 1);
      v = head_parent(v);
    }

    if (tin[u] > tin[v]) swap(u, v);
    if (tin[u] + edge <= tin[v])
      lr.emplace_back(tin[u] + edge, tin[v] + 1);

    return lr;
  }

  //l < r: op(l, op(l + 1, ...))
  //l > r: op(r - 1, op(r - 2, ...))
  auto query_path_non_commutative(int u, int v, bool edge = false) {
    vc<pii> lr1, lr2;
    while(head(u) != head(v)) {
      if (dep[head(u)] > dep[head(v)]) {
        lr1.emplace_back(tin[u] + 1, tin[head(u)]);
        u = head_parent(u);
      } else {
        lr2.emplace_back(tin[head(v)], tin[v] + 1);
        v = head_parent(v);
      }
    }

    if (tin[u] + edge <= tin[v])
      lr2.emplace_back(tin[u] + edge, tin[v] + 1);
    else if (tin[v] + edge <= tin[u])
      lr1.emplace_back(tin[u] + 1, tin[v] + edge);

    lr1.insert(end(lr1), lr2.rbegin(), lr2.rend());

    return lr1;
  }

  auto query_subtree(int v) { return pii(tin[v], tout[v]); }

  int query_point(int v) { return tin[v]; }

  int lca(int u, int v) {
    while(head(u) != head(v)) {
      if (dep[head(u)] > dep[head(v)])
        swap(u, v);
      v = head_parent(v);
    }
    return tin[u] < tin[v] ? u : v;
  }

  int kth(int s, int t, int k) {
    int l = lca(s, t);
    if (int d = dep[s] + dep[t] - 2 * dep[l]; k > d)
      return -1;
    else if (k > dep[s] - dep[l])
      k = d - k, swap(s, t);
    while(k > dep[s] - dep[head(s)]) {
      k -= dep[s] - dep[head(s)] + 1;
      s = head_parent(s);
    }
    return inv_tin[tin[s] - k];
  }

  template<class M>
  vc<M> reorder_init(vc<M> init) {
    assert(ssize(init) == ssize(dep));
    auto r = init;
    for(int i = 0; i < ssize(init); i++)
      r[tin[i]] = init[i];
    return r;
  }
};
#line 5 "test/jump_on_tree_3.test.cpp"

signed main() {
  ios::sync_with_stdio(false), cin.tie(NULL);

  int n, q; cin >> n >> q;
  vc<pii> e(n - 1);
  for(auto &[u, v] : e)
    cin >> u >> v;
  mt19937_64 rng(clock);
  HLD hld(std::move(e), rng() % n);
  while(q--) {
    int s, t, k; cin >> s >> t >> k;
    cout << hld.kth(s, t, k) << '\n';
  }

  return 0;
}
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