#line 1 "a.cpp" #include #line 2 "graph/template.hpp" #include namespace ebi { template struct Edge { int to; T cost; Edge(int _to, T _cost = 1) : to(_to), cost(_cost) {} }; template struct Graph : std::vector>> { using std::vector>>::vector; void add_edge(int u, int v, T w, bool directed = false) { (*this)[u].emplace_back(v, w); if (directed) return; (*this)[v].emplace_back(u, w); } }; struct graph : std::vector> { using std::vector>::vector; void add_edge(int u, int v, bool directed = false) { (*this)[u].emplace_back(v); if (directed) return; (*this)[v].emplace_back(u); } }; } // namespace ebi #line 1 "template/template.hpp" #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #line 31 "template/template.hpp" #define rep(i, a, n) for (int i = (int)(a); i < (int)(n); i++) #define rrep(i, a, n) for (int i = ((int)(n)-1); i >= (int)(a); i--) #define Rep(i, a, n) for (i64 i = (i64)(a); i < (i64)(n); i++) #define RRep(i, a, n) for (i64 i = ((i64)(n)-i64(1)); i >= (i64)(a); i--) #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #line 2 "template/debug_template.hpp" #line 4 "template/debug_template.hpp" namespace ebi { #ifdef LOCAL #define debug(...) \ std::cerr << "LINE: " << __LINE__ << " [" << #__VA_ARGS__ << "]:", \ debug_out(__VA_ARGS__) #else #define debug(...) #endif void debug_out() { std::cerr << std::endl; } template void debug_out(Head h, Tail... t) { std::cerr << " " << h; if (sizeof...(t) > 0) std::cerr << " :"; debug_out(t...); } } #line 2 "template/int_alias.hpp" #line 4 "template/int_alias.hpp" namespace ebi { using std::size_t; using i8 = std::int8_t; using u8 = std::uint8_t; using i16 = std::int16_t; using u16 = std::uint16_t; using i32 = std::int32_t; using u32 = std::uint32_t; using i64 = std::int64_t; using u64 = std::uint64_t; using i128 = __int128_t; using u128 = __uint128_t; } #line 2 "template/io.hpp" #line 6 "template/io.hpp" namespace ebi { template std::ostream &operator<<(std::ostream &os, const std::pair &pa) { return os << pa.first << " " << pa.second; } template std::istream &operator>>(std::istream &os, std::pair &pa) { return os >> pa.first >> pa.second; } template std::ostream &operator<<(std::ostream &os, const std::vector &vec) { for (std::size_t i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " "); return os; } template std::istream &operator>>(std::istream &os, std::vector &vec) { for (T &e : vec) std::cin >> e; return os; } template std::ostream &operator<<(std::ostream &os, const std::optional &opt) { if (opt) { os << opt.value(); } else { os << "invalid value"; } return os; } void fast_io() { std::cout << std::fixed << std::setprecision(15); std::cin.tie(nullptr); std::ios::sync_with_stdio(false); } } // namespace ebi #line 2 "template/utility.hpp" #line 5 "template/utility.hpp" #line 7 "template/utility.hpp" namespace ebi { template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } constexpr i64 LNF = std::numeric_limits::max() / 4; constexpr int INF = std::numeric_limits::max() / 2; const std::vector dy = {1, 0, -1, 0, 1, 1, -1, -1}; const std::vector dx = {0, 1, 0, -1, 1, -1, 1, -1}; } // namespace ebi #line 2 "tree/heavy_light_decomposition.hpp" #line 6 "tree/heavy_light_decomposition.hpp" namespace ebi { struct heavy_light_decomposition { private: void dfs_sz(int v) { for (auto &nv : g[v]) { if (nv == par[v]) continue; par[nv] = v; depth[nv] = depth[v] + 1; dfs_sz(nv); sz[v] += sz[nv]; if (sz[nv] > sz[g[v][0]] || g[v][0] == par[v]) std::swap(nv, g[v][0]); } } void dfs_hld(int v) { static int t = 0; in[v] = t++; rev[in[v]] = v; for (auto nv : g[v]) { if (nv == par[v]) continue; nxt[nv] = (nv == g[v][0] ? nxt[v] : nv); dfs_hld(nv); } out[v] = t; } // [u, v) パスの取得 (v は u の祖先) std::vector> ascend(int u, int v) const { std::vector> res; while (nxt[u] != nxt[v]) { res.emplace_back(in[u], in[nxt[u]]); u = par[nxt[u]]; } if (u != v) res.emplace_back(in[u], in[v] + 1); return res; } // (u, v] パスの取得 (u は v の祖先) std::vector> descend(int u, int v) const { if (u == v) return {}; if (nxt[u] == nxt[v]) return {{in[u] + 1, in[v]}}; auto res = descend(u, par[nxt[v]]); res.emplace_back(in[nxt[v]], in[v]); return res; } public: heavy_light_decomposition(const std::vector> &gh, int root = 0) : n(gh.size()), g(gh), sz(n, 1), in(n), out(n), nxt(n), par(n, -1), depth(n, 0), rev(n) { dfs_sz(root); dfs_hld(root); } int idx(int u) const { return in[u]; } int la(int v, int k) const { while (1) { int u = nxt[v]; if (in[u] <= in[v] - k) return rev[in[v] - k]; k -= in[v] - in[u] + 1; v = par[u]; } } int lca(int u, int v) const { while (nxt[u] != nxt[v]) { if (in[u] < in[v]) std::swap(u, v); u = par[nxt[u]]; } return depth[u] < depth[v] ? u : v; } int jump(int s, int t, int i) const { if (i == 0) return s; int l = lca(s, t); int d = depth[s] + depth[t] - depth[l] * 2; if (d < i) return -1; if (depth[s] - depth[l] >= i) return la(s, i); i = d - i; return la(t, i); } std::vector path(int s, int t) const { int l = lca(s, t); std::vector a, b; for (; s != l; s = par[s]) a.emplace_back(s); for (; t != l; t = par[t]) b.emplace_back(t); a.emplace_back(l); std::reverse(b.begin(), b.end()); a.insert(a.end(), b.begin(), b.end()); return a; } int distance(int u, int v) const { return depth[u] + depth[v] - 2 * depth[lca(u, v)]; } int distance_from_root(int v) const { return depth[v]; } bool at_path(int u, int v, int s) const { return distance(u, v) == distance(u, s) + distance(s, v); } template void path_noncommutative_query(int u, int v, bool vertex, const F &f) const { int l = lca(u, v); for (auto [a, b] : ascend(u, l)) f(a + 1, b); if (vertex) f(in[l], in[l] + 1); for (auto [a, b] : descend(l, v)) f(a, b + 1); } template void subtree_query(int u, bool vertex, const F &f) { f(in[u] + int(!vertex), out[u]); } private: int n; std::vector> g; std::vector sz, in, out, nxt, par, depth, rev; }; } // namespace ebi #line 6 "a.cpp" namespace ebi { i64 op(i64 a, i64 b) { return a < b ? a : b; } i64 e() { return LNF; } i64 mapping(i64 f, i64 x) { return f + x; } i64 composition(i64 f, i64 g) { return f + g; } i64 id() { return 0; } void main_() { int n, q; std::cin >> n >> q; std::vector d(n, LNF); Graph g(n); graph gh(n); rep(i, 0, n - 1) { int a, b; i64 c; std::cin >> a >> b >> c; a--; b--; assert(0 <= a && a < n && 0 <= b && b < n); g.add_edge(a, b, c); gh.add_edge(a, b); } std::vector par(n, -1); auto dfs_par = [&](auto &&self, int v) -> void { for (auto [nv, w] : g[v]) { if (nv == par[v]) continue; par[nv] = v; d[nv] = w; self(self, nv); } }; dfs_par(dfs_par, 0); int ans = n; std::vector mark(n, -1); std::vector apple(n, 0); auto dfs_break = [&](auto &&self, int v) -> i64 { assert(mark[v] < 0); mark[v] = 1; ans--; i64 ret = apple[v]; for (auto nv : gh[v]) { if (nv == par[v] || mark[nv] > 0) continue; ret += self(self, nv); } return ret; }; heavy_light_decomposition hld(gh); atcoder::lazy_segtree seg(n); rep(i, 0, n) { seg.set(hld.idx(i), d[i]); } i64 res = e(); i64 add_val = 0; auto path_add_f = [&](int l, int r) -> void { if (l <= r) seg.apply(l, r, add_val); else seg.apply(r, l, add_val); }; auto path_min_f = [&](int l, int r) -> void { if (l <= r) res = op(res, seg.prod(l, r)); else res = op(res, seg.prod(r, l)); }; auto path_add = [&](int u, int v, i64 x) -> void { add_val = x; hld.path_noncommutative_query(u, v, false, path_add_f); }; auto path_min = [&](int u, int v) -> i64 { res = e(); hld.path_noncommutative_query(u, v, false, path_min_f); return res; }; while (q--) { int t; std::cin >> t; if (t == 1) { int v; i64 x; std::cin >> v >> x; v--; assert(mark[v] < 0); apple[v] += x; path_add(0, v, -x); if (path_min(0, v) > 0) continue; int ng = 0, ok = hld.distance_from_root(v); while (std::abs(ok - ng) > 1) { int mid = (ok + ng) / 2; if (path_min(v, hld.la(v, mid)) > 0) { ng = mid; } else { ok = mid; } } int broken_v = hld.la(v, ok - 1); i64 sum = dfs_break(dfs_break, broken_v); path_add(broken_v, 0, sum); } else { std::cout << ans << '\n'; } } } } // namespace ebi int main() { ebi::fast_io(); int t = 1; // std::cin >> t; while (t--) { ebi::main_(); } return 0; }