結果

問題 No.1216 灯籠流し/Lanterns
ユーザー hashiryohashiryo
提出日時 2023-11-04 14:37:00
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 599 ms / 4,500 ms
コード長 17,682 bytes
コンパイル時間 3,451 ms
コンパイル使用メモリ 249,212 KB
実行使用メモリ 43,628 KB
最終ジャッジ日時 2024-09-25 22:03:32
合計ジャッジ時間 16,298 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
このコードへのチャレンジ
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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 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 25 ms
8,216 KB
testcase_05 AC 265 ms
25,296 KB
testcase_06 AC 21 ms
5,872 KB
testcase_07 AC 262 ms
23,472 KB
testcase_08 AC 228 ms
19,648 KB
testcase_09 AC 102 ms
12,808 KB
testcase_10 AC 110 ms
12,884 KB
testcase_11 AC 51 ms
9,944 KB
testcase_12 AC 21 ms
7,016 KB
testcase_13 AC 63 ms
12,068 KB
testcase_14 AC 35 ms
8,916 KB
testcase_15 AC 62 ms
11,728 KB
testcase_16 AC 57 ms
12,332 KB
testcase_17 AC 336 ms
28,828 KB
testcase_18 AC 67 ms
12,604 KB
testcase_19 AC 456 ms
39,604 KB
testcase_20 AC 181 ms
21,932 KB
testcase_21 AC 82 ms
14,176 KB
testcase_22 AC 356 ms
32,240 KB
testcase_23 AC 29 ms
8,876 KB
testcase_24 AC 28 ms
7,040 KB
testcase_25 AC 15 ms
5,504 KB
testcase_26 AC 197 ms
21,312 KB
testcase_27 AC 55 ms
11,360 KB
testcase_28 AC 39 ms
9,880 KB
testcase_29 AC 81 ms
14,976 KB
testcase_30 AC 137 ms
18,960 KB
testcase_31 AC 315 ms
27,712 KB
testcase_32 AC 117 ms
18,988 KB
testcase_33 AC 33 ms
8,800 KB
testcase_34 AC 291 ms
26,088 KB
testcase_35 AC 331 ms
25,980 KB
testcase_36 AC 133 ms
17,288 KB
testcase_37 AC 325 ms
26,216 KB
testcase_38 AC 441 ms
43,472 KB
testcase_39 AC 298 ms
25,928 KB
testcase_40 AC 308 ms
25,996 KB
testcase_41 AC 293 ms
25,996 KB
testcase_42 AC 294 ms
26,000 KB
testcase_43 AC 306 ms
25,996 KB
testcase_44 AC 297 ms
25,996 KB
testcase_45 AC 588 ms
43,480 KB
testcase_46 AC 581 ms
43,628 KB
testcase_47 AC 599 ms
43,476 KB
testcase_48 AC 580 ms
43,468 KB
testcase_49 AC 577 ms
43,336 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 # 

#include <bits/stdc++.h>
// clang-format off
std::ostream&operator<<(std::ostream&os,std::int8_t x){return os<<(int)x;}
std::ostream&operator<<(std::ostream&os,std::uint8_t x){return os<<(int)x;}
std::ostream&operator<<(std::ostream&os,const __int128_t &v){if(!v)os<<"0";__int128_t tmp=v<0?(os<<"-",-v):v;std::string s;while(tmp)s+='0'+(tmp%10),tmp/=10;return std::reverse(s.begin(),s.end()),os<<s;}
std::ostream&operator<<(std::ostream&os,const __uint128_t &v){if(!v)os<<"0";__uint128_t tmp=v;std::string s;while(tmp)s+='0'+(tmp%10),tmp/=10;return std::reverse(s.begin(),s.end()),os<<s;}

#define checkpoint() (void(0))
#define debug(...) (void(0))
#define debugArray(x,n) (void(0))
#define debugMatrix(x,h,w) (void(0))
// clang-format on
#ifdef __LOCAL
// clang-format off
#undef checkpoint
#undef debug
#undef debugArray
#undef debugMatrix
template<class T>std::ostream &operator<<(std::ostream&,const std::vector<T>&);
template<class T>std::ostream &operator<<(std::ostream&,const std::set<T>&);
template<class T,class U>std::ostream &operator<<(std::ostream&os,const std::pair<T,U>&x){return os<<"("<<x.first<<", "<<x.second<<")";}
template<class T,std::size_t _Nm>std::ostream&operator<<(std::ostream &os,const std::array<T, _Nm> &arr) {os<<'['<<arr[0];for(std::size_t _=1;_<_Nm;++_)os<<", "<<arr[_];return os<<']';}
template<class Tup,std::size_t... I>void print(std::ostream&os,const Tup &x,std::index_sequence<I...>){(void)(int[]){(os<<std::get<I>(x)<<", ",0)...};}
template<class... Args>std::ostream &operator<<(std::ostream&os,const std::tuple<Args...> &x) {static constexpr std::size_t N = sizeof...(Args);os<<"(";if constexpr(N>=2)print(os,x,std::make_index_sequence<N-1>());return os<<std::get<N-1>(x)<<")";}
template<class T>std::ostream &operator<<(std::ostream&os,const std::vector<T>&vec){os<<'[';for(int _=0,__= vec.size();_<__;++_)os<<(_ ?", ":"")<<vec[_];return os<<']';}
template<class T>std::ostream &operator<<(std::ostream&os,const std::set<T>&s){os<<'{';int _=0;for(const auto &x:s)os<<(_++ ? ", " : "")<<x; return os << '}';}
const std::string COLOR_RESET="\033[0m",BRIGHT_GREEN="\033[1;32m",BRIGHT_RED="\033[1;31m",BRIGHT_CYAN="\033[1;36m",NORMAL_CROSSED="\033[0;9;37m",ITALIC="\033[3m",BOLD="\033[1m",RED_BACKGROUND="\033[1;41m",NORMAL_FAINT="\033[0;2m";
#define func_LINE_FILE  NORMAL_FAINT<<" in "<<BOLD<<__func__<<NORMAL_FAINT<<ITALIC<<" (L"<<__LINE__<<") "<< __FILE__<<COLOR_RESET
#define checkpoint() std::cerr<<BRIGHT_RED<<"< check point! >"<<func_LINE_FILE<<'\n'
template <class T, class... Args> void debug__(const std::string &s, const T &a, const Args &...x) {std::cerr << BRIGHT_CYAN << s << COLOR_RESET << " = ";std::cerr << a;(std::cerr << ... << (std::cerr << ", ", x));std::cerr << func_LINE_FILE << std::endl;}
#define debug(...) debug__(#__VA_ARGS__,__VA_ARGS__)
#define debugArray(x, n) do{std::cerr<<BRIGHT_CYAN<<#x<<COLOR_RESET<<" = ["<<x[0];for(int _=1;_<(int)(n);++_)std::cerr<<", "<<x[_];std::cerr<<"]"<<func_LINE_FILE<<'\n';}while(0)
#define debugMatrix(x, h, w) do{std::cerr<<BRIGHT_CYAN<<#x<<"\n"<<COLOR_RESET<<"= ";for(int _=0;(_)<(int)(h);++_){std::cerr<<((_?"   [":"[["));for(int __=0;__<(int)(w);++__)std::cerr<<((__?", ":""))<<x[_][__];std::cerr<<"]"<<(_+1==(int)(h)?"]":",\n");}std::cerr<<func_LINE_FILE<<'\n';}while(0)
#endif
// clang-format on
template <class T> static constexpr bool tuple_like_v= false;
template <class... Args> static constexpr bool tuple_like_v<std::tuple<Args...>> = true;
template <class T, class U> static constexpr bool tuple_like_v<std::pair<T, U>> = true;
template <class T, size_t K> static constexpr bool tuple_like_v<std::array<T, K>> = true;
template <class T> auto to_tuple(const T &t) {
 if constexpr (tuple_like_v<T>) return std::apply([](auto &&...x) { return std::make_tuple(x...); }, t);
}
template <class T> auto forward_tuple(const T &t) {
 if constexpr (tuple_like_v<T>) return std::apply([](auto &&...x) { return std::forward_as_tuple(x...); }, t);
}
template <class T> static constexpr bool array_like_v= false;
template <class T, size_t K> static constexpr bool array_like_v<std::array<T, K>> = true;
template <class T, class U> static constexpr bool array_like_v<std::pair<T, U>> = std::is_convertible_v<T, U>;
template <class T> static constexpr bool array_like_v<std::tuple<T>> = true;
template <class T, class U, class... Args> static constexpr bool array_like_v<std::tuple<T, U, Args...>> = array_like_v<std::tuple<T, Args...>> && std::is_convertible_v<U, T>;
template <class T> auto to_array(const T &t) {
 if constexpr (array_like_v<T>) return std::apply([](auto &&...x) { return std::array{x...}; }, t);
}
template <class T> using to_tuple_t= decltype(to_tuple(T()));
template <class T> using to_array_t= decltype(to_array(T()));
template <class pos_t, class M> class SegmentTree_2D {
public:
 using T= typename M::T;
 using Pos= std::array<pos_t, 2>;
 std::vector<pos_t> xs;
 std::vector<Pos> yxs;
 std::vector<int> id, tol;
 std::vector<T> val;
 template <class P> using canbe_Pos= std::is_convertible<to_tuple_t<P>, std::tuple<pos_t, pos_t>>;
 template <class P> using canbe_PosV= std::is_convertible<to_tuple_t<P>, std::tuple<pos_t, pos_t, T>>;
 template <class P, class U> static constexpr bool canbe_Pos_and_T_v= std::conjunction_v<canbe_Pos<P>, std::is_convertible<U, T>>;
 int sz;
 inline int x2i(pos_t x) const { return std::lower_bound(xs.begin(), xs.end(), x) - xs.begin(); }
 inline int y2i(pos_t y) const {
  return std::lower_bound(yxs.begin(), yxs.end(), Pos{y, 0}, [](const Pos &a, const Pos &b) { return a[0] < b[0]; }) - yxs.begin();
 }
 inline int xy2i(pos_t x, pos_t y) const {
  Pos p{y, x};
  auto it= std::lower_bound(yxs.begin(), yxs.end(), p);
  return assert(p == *it), it - yxs.begin();
 }
 template <bool z, size_t k, class P> inline auto get_(const P &p) {
  if constexpr (z) return std::get<k>(p);
  else return std::get<k>(p.first);
 }
 template <bool z, class XYW> inline void build(const XYW *xyw, int n, const T &v= M::ti()) {
  xs.resize(n), yxs.resize(n);
  for (int i= n; i--;) xs[i]= get_<z, 0>(xyw[i]);
  std::sort(xs.begin(), xs.end()), xs.erase(std::unique(xs.begin(), xs.end()), xs.end()), id.resize((sz= 1 << (32 - __builtin_clz(xs.size()))) * 2 + 1);
  std::vector<int> ix(n), ord(n);
  for (int i= n; i--;) ix[i]= x2i(get_<z, 0>(xyw[i]));
  for (int i: ix)
   for (i+= sz; i; i>>= 1) ++id[i + 1];
  for (int i= 1, e= sz * 2; i < e; ++i) id[i + 1]+= id[i];
  val.assign(id.back() * 2, M::ti()), tol.resize(id[sz] + 1), std::iota(ord.begin(), ord.end(), 0), std::sort(ord.begin(), ord.end(), [&](int i, int j) { return get_<z, 1>(xyw[i]) == get_<z, 1>(xyw[j]) ? get_<z, 0>(xyw[i]) < get_<z, 0>(xyw[j]) : get_<z, 1>(xyw[i]) < get_<z, 1>(xyw[j]); });
  for (int i= n; i--;) yxs[i]= {get_<z, 1>(xyw[ord[i]]), get_<z, 0>(xyw[ord[i]])};
  std::vector<int> ptr= id;
  for (int r: ord)
   for (int i= ix[r] + sz, j= -1; i; j= i, i>>= 1) {
    int p= ptr[i]++;
    if constexpr (z) {
     if constexpr (std::tuple_size_v<XYW> == 3) val[id[i + 1] + p]= std::get<2>(xyw[r]);
     else val[id[i + 1] + p]= v;
    } else val[id[i + 1] + p]= xyw[r].second;
    if (j != -1) tol[p + 1]= !(j & 1);
   }
  for (int i= 1, e= id[sz]; i < e; ++i) tol[i + 1]+= tol[i];
  for (int i= 0, e= sz * 2; i < e; ++i) {
   auto dat= val.begin() + id[i] * 2;
   for (int j= id[i + 1] - id[i]; --j > 0;) dat[j]= M::op(dat[j * 2], dat[j * 2 + 1]);
  }
 }
 inline T fold(int i, int a, int b) const {
  int n= id[i + 1] - id[i];
  T ret= M::ti();
  auto dat= val.begin() + id[i] * 2;
  for (a+= n, b+= n; a < b; a>>= 1, b>>= 1) {
   if (a & 1) ret= M::op(ret, dat[a++]);
   if (b & 1) ret= M::op(dat[--b], ret);
  }
  return ret;
 }
 template <bool z> inline void seti(int i, int j, T v) {
  auto dat= val.begin() + id[i] * 2;
  j+= id[i + 1] - id[i];
  if constexpr (z) dat[j]= v;
  else dat[j]= M::op(dat[j], v);
  for (; j;) j>>= 1, dat[j]= M::op(dat[2 * j], dat[2 * j + 1]);
 }
 template <bool z> inline void set_(pos_t x, pos_t y, T v) {
  for (int i= 1, p= xy2i(x, y);;) {
   if (seti<z>(i, p - id[i], v); i >= sz) break;
   if (int lc= tol[p] - tol[id[i]], rc= (p - id[i]) - lc; tol[p + 1] - tol[p]) p= id[2 * i] + lc, i= 2 * i;
   else p= id[2 * i + 1] + rc, i= 2 * i + 1;
  }
 }
public:
 template <class P, typename= std::enable_if_t<std::disjunction_v<canbe_Pos<P>, canbe_PosV<P>>>> SegmentTree_2D(const P *p, size_t n) { build<1>(p, n); }
 template <class P, typename= std::enable_if_t<std::disjunction_v<canbe_Pos<P>, canbe_PosV<P>>>> SegmentTree_2D(const std::vector<P> &p): SegmentTree_2D(p.data(), p.size()) {}
 template <class P, typename= std::enable_if_t<canbe_Pos<P>::value>> SegmentTree_2D(const std::set<P> &p): SegmentTree_2D(std::vector(p.begin(), p.end())) {}
 template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const P *p, size_t n, const U &v) { build<1>(p, n, v); }
 template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::vector<P> &p, const U &v): SegmentTree_2D(p.data(), p.size(), v) {}
 template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::set<P> &p, const U &v): SegmentTree_2D(std::vector(p.begin(), p.end()), v) {}
 template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::pair<P, U> *p, size_t n) { build<0>(p, n); }
 template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::vector<std::pair<P, U>> &p): SegmentTree_2D(p.data(), p.size()) {}
 template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::map<P, U> &p): SegmentTree_2D(std::vector(p.begin(), p.end())) {}
 // [l,r) x [u,d)
 T fold(pos_t l, pos_t r, pos_t u, pos_t d) const {
  T ret= M::ti();
  int L= x2i(l), R= x2i(r);
  auto dfs= [&](auto &dfs, int i, int a, int b, int c, int d) -> void {
   if (c == d || R <= a || b <= L) return;
   if (L <= a && b <= R) return ret= M::op(ret, fold(i, c, d)), void();
   int m= (a + b) / 2, ac= tol[id[i] + c] - tol[id[i]], bc= c - ac, ad= tol[id[i] + d] - tol[id[i]], bd= d - ad;
   dfs(dfs, i * 2, a, m, ac, ad), dfs(dfs, i * 2 + 1, m, b, bc, bd);
  };
  return dfs(dfs, 1, 0, sz, y2i(u), y2i(d)), ret;
 }
 void set(pos_t x, pos_t y, T v) { set_<1>(x, y, v); }
 void mul(pos_t x, pos_t y, T v) { set_<0>(x, y, v); }
 T get(pos_t x, pos_t y) const { return val[xy2i(x, y) + id[2]]; }
};
template <class T> struct ListRange {
 using Iterator= typename std::vector<T>::const_iterator;
 Iterator bg, ed;
 Iterator begin() const { return bg; }
 Iterator end() const { return ed; }
 size_t size() const { return std::distance(bg, ed); }
 const T &operator[](int i) const { return bg[i]; }
};
template <class T> class CsrArray {
 std::vector<T> csr;
 std::vector<int> pos;
public:
 CsrArray()= default;
 CsrArray(const std::vector<T> &c, const std::vector<int> &p): csr(c), pos(p) {}
 size_t size() const { return pos.size() - 1; }
 const ListRange<T> operator[](int i) const { return {csr.cbegin() + pos[i], csr.cbegin() + pos[i + 1]}; }
};
template <class Cost= void, bool weight= false> class Tree {
 template <class D, class T> struct Edge_B {
  int to;
  T cost;
  operator int() const { return to; }
 };
 template <class D> struct Edge_B<D, void> {
  int to;
  operator int() const { return to; }
 };
 using Edge= Edge_B<void, Cost>;
 using C= std::conditional_t<std::is_void_v<Cost>, std::nullptr_t, Cost>;
 std::vector<std::conditional_t<std::is_void_v<Cost>, std::pair<int, int>, std::tuple<int, int, Cost>>> es;
 std::vector<Edge> g;
 std::vector<int> P, PP, D, I, L, R, pos;
 std::vector<C> DW, W;
public:
 Tree(int n): P(n, -2) {}
 template <class T= Cost> std::enable_if_t<std::is_void_v<T>, void> add_edge(int u, int v) { es.emplace_back(u, v), es.emplace_back(v, u); }
 template <class T> std::enable_if_t<std::is_convertible_v<T, Cost>, void> add_edge(int u, int v, T c) { es.emplace_back(u, v, c), es.emplace_back(v, u, c); }
 template <class T, class U, std::enable_if_t<std::conjunction_v<std::is_convertible<T, Cost>, std::is_convertible<U, Cost>>, std::nullptr_t> = nullptr> void add_edge(int u, int v, T c, U d) /* c:u->v, d:v->u */ { es.emplace_back(u, v, c), es.emplace_back(v, u, d); }
 void build(int root= 0) {
  size_t n= P.size();
  I.resize(n), PP.resize(n), std::iota(PP.begin(), PP.end(), 0), D.assign(n, 0), L.assign(n, 0), R.assign(n, 0), pos.resize(n + 1), g.resize(es.size());
  for (const auto &e: es) ++pos[std::get<0>(e)];
  std::partial_sum(pos.begin(), pos.end(), pos.begin());
  if constexpr (std::is_void_v<Cost>)
   for (const auto &[f, t]: es) g[--pos[f]]= {t};
  else
   for (const auto &[f, t, c]: es) g[--pos[f]]= {t, c};
  auto f= [&, i= 0, v= 0, t= 0](int r) mutable {
   for (P[r]= -1, I[t++]= r; i < t; ++i)
    for (int u: operator[](v= I[i]))
     if (P[v] != u) P[I[t++]= u]= v;
  };
  f(root);
  for (size_t r= 0; r < n; ++r)
   if (P[r] == -2) f(r);
  std::vector<int> Z(n, 1), nx(n, -1);
  for (int i= n, v; i--;) {
   if (P[v= I[i]] == -1) continue;
   if (Z[P[v]]+= Z[v]; nx[P[v]] == -1) nx[P[v]]= v;
   if (Z[nx[P[v]]] < Z[v]) nx[P[v]]= v;
  }
  for (int v: I)
   if (nx[v] != -1) PP[nx[v]]= v;
  for (int v: I)
   if (P[v] != -1) PP[v]= PP[PP[v]], D[v]= D[P[v]] + 1;
  for (int i= n; i--;) L[I[i]]= i;
  for (int v: I) {
   int ir= R[v]= L[v] + Z[v];
   for (int u: operator[](v))
    if (u != P[v] && u != nx[v]) L[u]= ir-= Z[u];
   if (nx[v] != -1) L[nx[v]]= L[v] + 1;
  }
  if constexpr (weight) {
   DW.resize(n), W.resize(n);
   for (int v: I)
    for (auto &[u, c]: operator[](v)) {
     if (u != P[v]) DW[u]= DW[v] + c;
     else W[v]= c;
    }
  }
  for (int i= n; i--;) I[L[i]]= i;
 }
 size_t size() const { return P.size(); }
 const ListRange<Edge> operator[](int v) const { return {g.cbegin() + pos[v], g.cbegin() + pos[v + 1]}; }
 int depth(int v) const { return D[v]; }
 C depth_w(int v) const {
  static_assert(weight, "\'depth_w\' is not available");
  return DW[v];
 }
 int to_seq(int v) const { return L[v]; }
 int to_node(int i) const { return I[i]; }
 int parent(int v) const { return P[v]; }
 int root(int v) const {
  for (v= PP[v];; v= PP[P[v]])
   if (P[v] == -1) return v;
 }
 bool connected(int u, int v) const { return root(u) == root(v); }
 int lca(int u, int v) const {
  for (;; v= P[PP[v]]) {
   if (L[u] > L[v]) std::swap(u, v);
   if (PP[u] == PP[v]) return u;
  }
 }
 int la(int v, int k) const {
  assert(k <= D[v]);
  for (int u;; k-= L[v] - L[u] + 1, v= P[u])
   if (L[v] - k >= L[u= PP[v]]) return I[L[v] - k];
 }
 int la_w(int v, Cost w) const {
  static_assert(weight, "\'la_w\' is not available");
  for (Cost c;; w-= c) {
   int u= PP[v];
   c= DW[v] - DW[u] + W[u];
   if (w < c) {
    int ok= L[v], ng= L[u] - 1;
    while (ok - ng > 1) {
     if (int m= (ok + ng) / 2; DW[v] - DW[I[m]] <= w) ok= m;
     else ng= m;
    }
    return I[ok];
   }
   if (v= P[u]; v == -1) return u;
  }
 }
 int jump(int u, int v, int k) const {
  if (!k) return u;
  if (u == v) return -1;
  if (k == 1) return in_subtree(v, u) ? la(v, D[v] - D[u] - 1) : P[u];
  int w= lca(u, v), d_uw= D[u] - D[w], d_vw= D[v] - D[w];
  return k > d_uw + d_vw ? -1 : k <= d_uw ? la(u, k) : la(v, d_uw + d_vw - k);
 }
 int jump_w(int u, int v, Cost w) const {
  static_assert(weight, "\'jump_w\' is not available");
  if (u == v) return u;
  int z= lca(u, v);
  Cost d_uz= DW[u] - DW[z], d_vz= DW[v] - DW[z];
  return w >= d_uz + d_vz ? v : w <= d_uz ? la_w(u, w) : la_w(v, d_uz + d_vz - w);
 }
 int dist(int u, int v) const { return D[u] + D[v] - D[lca(u, v)] * 2; }
 C dist_w(int u, int v) const {
  static_assert(weight, "\'dist_w\' is not available");
  return DW[u] + DW[v] - DW[lca(u, v)] * 2;
 }
 // u is in v
 bool in_subtree(int u, int v) const { return L[v] <= L[u] && L[u] < R[v]; }
 int subtree_size(int v) const { return R[v] - L[v]; }
 // half-open interval
 std::array<int, 2> subtree(int v) const { return std::array{L[v], R[v]}; }
 // sequence of closed intervals
 template <bool edge= 0> std::vector<std::array<int, 2>> path(int u, int v) const {
  std::vector<std::array<int, 2>> up, down;
  while (PP[u] != PP[v]) {
   if (L[u] < L[v]) down.emplace_back(std::array{L[PP[v]], L[v]}), v= P[PP[v]];
   else up.emplace_back(std::array{L[u], L[PP[u]]}), u= P[PP[u]];
  }
  if (L[u] < L[v]) down.emplace_back(std::array{L[u] + edge, L[v]});
  else if (L[v] + edge <= L[u]) up.emplace_back(std::array{L[u], L[v] + edge});
  return up.insert(up.end(), down.rbegin(), down.rend()), up;
 }
};
using namespace std;
struct RSQ {
 using T= int;
 static T ti() { return 0; }
 static T op(T l, T r) { return l + r; }
};
signed main() {
 cin.tie(0);
 ios::sync_with_stdio(0);
 int N, Q;
 cin >> N >> Q;
 debug(N, Q);
 Tree<long long, true> tree(N);
 for (int i= 1; i < N; ++i) {
  int A, B;
  long long C;
  cin >> A >> B >> C;
  tree.add_edge(--A, --B, C);
 }
 tree.build(0);

 set<array<long long, 2>> st;
 vector<tuple<int, int, int, long long>> query;
 for (int i= 0; i < Q; ++i) {
  int tp, v;
  long long t, l;
  cin >> tp >> v >> t >> l, --v;
  if (tp == 0) {
   long long x= tree.to_seq(v), y= t + tree.depth_w(v);
   query.emplace_back(1, 0, x, y);
   st.insert({x, y});
   // debug(v, l, tree.la_w(v, l));
   if (int u= tree.parent(tree.la_w(v, l)); u != -1) {
    debug(v, u);
    x= tree.to_seq(u);
    query.emplace_back(-1, 0, x, y);
    st.insert({x, y});
   }
  } else {
   auto [l, r]= tree.subtree(v);
   query.emplace_back(0, l, r, t + tree.depth_w(v));
  }
 }
 SegmentTree_2D<long long, RSQ> seg(st);
 for (auto [t, a, b, y]: query) {
  if (t == 0) cout << seg.fold(a, b, 0, y + 1) << '\n';
  else seg.mul(b, y, t);
 }
 return 0;
}
0