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#define PROBLEM "https://judge.yosupo.jp/problem/vertex_add_subtree_sum" #include "../../data_structure/fenwick_tree.hpp" #include "../../template/template.hpp" #include "../../tree/dsu_on_tree.hpp" #include "../../tree/heavy_light_decomposition.hpp" namespace ebi { void main_() { int n, q; std::cin >> n >> q; std::vector<i64> a(n); std::cin >> a; Graph<int> g(n); g.read_parents(0); std::vector<std::tuple<int, int, i64>> qs(q); std::vector q1(n, std::vector<int>()), q2(n, std::vector<int>()); for (int i = 0; auto &[t, u, x] : qs) { std::cin >> t >> u; if (t == 0) { q1[u].emplace_back(i); std::cin >> x; } else { q2[u].emplace_back(i); } i++; } i64 sum = 0; std::vector<i64> ans(q, -1); fenwick_tree<i64> fw(q); auto add = [&](int v) -> void { sum += a[v]; for (auto i : q1[v]) { i64 x = std::get<2>(qs[i]); fw.add(i, x); } }; auto query = [&](int v) -> void { for (auto i : q2[v]) { ans[i] = sum + fw.prefix_sum(i); } }; auto clear = [&](int v) -> void { sum -= a[v]; for (auto i : q1[v]) { i64 x = std::get<2>(qs[i]); fw.add(i, -x); } }; auto reset = [&]() -> void { }; heavy_light_decomposition hld(g); hld.dsu_on_tree(add, query, clear, reset); rep(i, 0, q) { if (ans[i] == -1) continue; std::cout << ans[i] << '\n'; } } } // namespace ebi int main() { ebi::fast_io(); int t = 1; // std::cin >> t; while (t--) { ebi::main_(); } return 0; }
#line 1 "test/tree/Vertex_Add_Subtree_Sum_Dsu_on_Tree.test.cpp" #define PROBLEM "https://judge.yosupo.jp/problem/vertex_add_subtree_sum" #line 2 "data_structure/fenwick_tree.hpp" #include <cassert> #include <vector> namespace ebi { template <class T> struct fenwick_tree { private: int n; std::vector<T> data; public: fenwick_tree(int _n) : n(_n), data(std::vector<T>(_n + 1, T(0))) {} void add(int i, T val) { i++; for (int x = i; x <= n; x += x & -x) { data[x] += val; } } T prefix_sum(int i) const { assert(0 <= i && i <= n); T ret = 0; for (int x = i; x > 0; x -= x & -x) { ret += data[x]; } return ret; } T sum(int l, int r) const { return prefix_sum(r) - prefix_sum(l); } T all_sum() const { return prefix_sum(n); } // prefix_sum(x) >= key となる最小のxを返す関数 O(log N) int lower_bound(T key) { if (key <= 0) return 0; int x = 0; int max = 1; while ((max << 1) <= n) max <<= 1; for (int k = max; k > 0; k >>= 1) { if (x + k <= n && data[x + k] < key) { x += k; key -= data[x]; } } return x + 1; } }; } // namespace ebi #line 1 "template/template.hpp" #include <bits/stdc++.h> #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 <typename Head, typename... Tail> void debug_out(Head h, Tail... t) { std::cerr << " " << h; if (sizeof...(t) > 0) std::cerr << " :"; debug_out(t...); } } // namespace ebi #line 2 "template/int_alias.hpp" #line 4 "template/int_alias.hpp" namespace ebi { using ld = long double; 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; } // namespace ebi #line 2 "template/io.hpp" #line 5 "template/io.hpp" #include <optional> #line 7 "template/io.hpp" namespace ebi { template <typename T1, typename T2> std::ostream &operator<<(std::ostream &os, const std::pair<T1, T2> &pa) { return os << pa.first << " " << pa.second; } template <typename T1, typename T2> std::istream &operator>>(std::istream &os, std::pair<T1, T2> &pa) { return os >> pa.first >> pa.second; } template <typename T> std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec) { for (std::size_t i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " "); return os; } template <typename T> std::istream &operator>>(std::istream &os, std::vector<T> &vec) { for (T &e : vec) std::cin >> e; return os; } template <typename T> std::ostream &operator<<(std::ostream &os, const std::optional<T> &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 2 "graph/base.hpp" #line 5 "graph/base.hpp" #include <ranges> #line 7 "graph/base.hpp" #line 2 "data_structure/simple_csr.hpp" #line 6 "data_structure/simple_csr.hpp" namespace ebi { template <class E> struct simple_csr { simple_csr() = default; simple_csr(int n, const std::vector<std::pair<int, E>>& elements) : start(n + 1, 0), elist(elements.size()) { for (auto e : elements) { start[e.first + 1]++; } for (auto i : std::views::iota(0, n)) { start[i + 1] += start[i]; } auto counter = start; for (auto [i, e] : elements) { elist[counter[i]++] = e; } } simple_csr(const std::vector<std::vector<E>>& es) : start(es.size() + 1, 0) { int n = es.size(); for (auto i : std::views::iota(0, n)) { start[i + 1] = (int)es[i].size() + start[i]; } elist.resize(start.back()); for (auto i : std::views::iota(0, n)) { std::copy(es[i].begin(), es[i].end(), elist.begin() + start[i]); } } int size() const { return (int)start.size() - 1; } const auto operator[](int i) const { return std::ranges::subrange(elist.begin() + start[i], elist.begin() + start[i + 1]); } auto operator[](int i) { return std::ranges::subrange(elist.begin() + start[i], elist.begin() + start[i + 1]); } const auto operator()(int i, int l, int r) const { return std::ranges::subrange(elist.begin() + start[i] + l, elist.begin() + start[i + 1] + r); } auto operator()(int i, int l, int r) { return std::ranges::subrange(elist.begin() + start[i] + l, elist.begin() + start[i + 1] + r); } private: std::vector<int> start; std::vector<E> elist; }; } // namespace ebi #line 9 "graph/base.hpp" namespace ebi { template <class T> struct Edge { int from, to; T cost; int id; }; template <class E> struct Graph { using cost_type = E; using edge_type = Edge<cost_type>; Graph(int n_) : n(n_) {} Graph() = default; void add_edge(int u, int v, cost_type c) { buff.emplace_back(u, edge_type{u, v, c, m}); edges.emplace_back(edge_type{u, v, c, m++}); } void add_undirected_edge(int u, int v, cost_type c) { buff.emplace_back(u, edge_type{u, v, c, m}); buff.emplace_back(v, edge_type{v, u, c, m}); edges.emplace_back(edge_type{u, v, c, m}); m++; } void read_tree(int offset = 1, bool is_weighted = false) { read_graph(n - 1, offset, false, is_weighted); } void read_parents(int offset = 1) { for (auto i : std::views::iota(1, n)) { int p; std::cin >> p; p -= offset; add_undirected_edge(p, i, 1); } build(); } void read_graph(int e, int offset = 1, bool is_directed = false, bool is_weighted = false) { for (int i = 0; i < e; i++) { int u, v; std::cin >> u >> v; u -= offset; v -= offset; if (is_weighted) { cost_type c; std::cin >> c; if (is_directed) { add_edge(u, v, c); } else { add_undirected_edge(u, v, c); } } else { if (is_directed) { add_edge(u, v, 1); } else { add_undirected_edge(u, v, 1); } } } build(); } void build() { assert(!prepared); csr = simple_csr<edge_type>(n, buff); buff.clear(); prepared = true; } int size() const { return n; } int node_number() const { return n; } int edge_number() const { return m; } edge_type get_edge(int i) const { return edges[i]; } std::vector<edge_type> get_edges() const { return edges; } const auto operator[](int i) const { return csr[i]; } auto operator[](int i) { return csr[i]; } private: int n, m = 0; std::vector<std::pair<int,edge_type>> buff; std::vector<edge_type> edges; simple_csr<edge_type> csr; bool prepared = false; }; } // namespace ebi #line 8 "template/utility.hpp" namespace ebi { template <class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template <class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template <class T> T safe_ceil(T a, T b) { if (a % b == 0) return a / b; else if (a >= 0) return (a / b) + 1; else return -((-a) / b); } template <class T> T safe_floor(T a, T b) { if (a % b == 0) return a / b; else if (a >= 0) return a / b; else return -((-a) / b) - 1; } constexpr i64 LNF = std::numeric_limits<i64>::max() / 4; constexpr int INF = std::numeric_limits<int>::max() / 2; const std::vector<int> dy = {1, 0, -1, 0, 1, 1, -1, -1}; const std::vector<int> dx = {0, 1, 0, -1, 1, -1, 1, -1}; } // namespace ebi #line 2 "tree/dsu_on_tree.hpp" #line 2 "tree/heavy_light_decomposition.hpp" #line 6 "tree/heavy_light_decomposition.hpp" #line 8 "tree/heavy_light_decomposition.hpp" namespace ebi { template <class T> struct heavy_light_decomposition { private: void dfs_sz(int v) { for (auto &e : g[v]) { if (e.to == par[v]) continue; par[e.to] = v; depth_[e.to] = depth_[v] + 1; dist[e.to] = dist[v] + e.cost; dfs_sz(e.to); sz[v] += sz[e.to]; if (sz[e.to] > sz[g[v][0].to] || g[v][0].to == par[v]) std::swap(e, g[v][0]); } } void dfs_hld(int v) { in[v] = num++; rev[in[v]] = v; for (auto e : g[v]) { if (e.to == par[v]) continue; nxt[e.to] = (e.to == g[v][0].to ? nxt[v] : e.to); dfs_hld(e.to); } out[v] = num; } // [u, v) パスの取得 (v は u の祖先) std::vector<std::pair<int, int>> ascend(int u, int v) const { std::vector<std::pair<int, int>> 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<std::pair<int, int>> 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 Graph<T> &gh, int root_ = 0) : n(gh.size()), root(root_), g(gh), sz(n, 1), in(n), out(n), nxt(n), par(n, -1), depth_(n, 0), rev(n), dist(n, 0) { nxt[root] = root; dfs_sz(root); dfs_hld(root); } int idx(int u) const { return in[u]; } int rev_idx(int i) const { return rev[i]; } 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<int> path(int s, int t) const { int l = lca(s, t); std::vector<int> 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 root_of_heavy_path(int u) const { return nxt[u]; } int parent(int u) const { return par[u]; } T distance(int u, int v) const { return dist[u] + dist[v] - 2 * dist[lca(u, v)]; } T distance_from_root(int v) const { return dist[v]; } T depth(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); } std::pair<int, int> subtree_section(int v) const { return {in[v], out[v]}; } bool is_subtree(int u, int v) const { return in[u] <= in[v] && in[v] < out[u]; } template <class F> 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); } std::vector<std::pair<int, int>> path_sections(int u, int v, bool vertex) const { int l = lca(u, v); std::vector<std::pair<int, int>> sections; for (auto [a, b] : ascend(u, l)) sections.emplace_back(a + 1, b); if (vertex) sections.emplace_back(in[l], in[l] + 1); for (auto [a, b] : descend(l, v)) sections.emplace_back(a, b + 1); return sections; } template <class F> int max_path(int u, int v, bool vertex, F binary_search) const { int prev = -1; int l = lca(u, v); for (auto [a, b] : ascend(u, l)) { a++; int m = binary_search(a, b); if (m == b) { prev = rev[b]; } else { return (m == a ? prev : rev[m]); } } if (vertex) { int m = binary_search(in[l], in[l] + 1); if (m == in[l]) { return prev; } else { prev = l; } } for (auto [a, b] : descend(l, v)) { b++; int m = binary_search(a, b); if (m == b) { prev = rev[b - 1]; } else { return m == a ? prev : rev[m - 1]; } } return v; } template <class F> void subtree_query(int u, bool vertex, const F &f) { f(in[u] + int(!vertex), out[u]); } const std::vector<int> &dfs_order() const { return rev; } template <class ADD, class QUERY, class CLEAR, class RESET> void dsu_on_tree(const ADD &add, const QUERY &query, const CLEAR &clear, const RESET &reset) const; std::vector<std::pair<int, int>> lca_based_auxiliary_tree_dfs_order( std::vector<int> vs) const; std::pair<std::vector<int>, Graph<T>> lca_based_auxiliary_tree( std::vector<int> vs) const; private: int n, root; Graph<T> g; std::vector<int> sz, in, out, nxt, par, depth_, rev; std::vector<T> dist; int num = 0; }; } // namespace ebi #line 4 "tree/dsu_on_tree.hpp" namespace ebi { template <class T> template <class ADD, class QUERY, class CLEAR, class RESET> void heavy_light_decomposition<T>::dsu_on_tree(const ADD &add, const QUERY &query, const CLEAR &clear, const RESET &reset) const { auto dfs = [&](auto &&self, int v) -> void { for (auto e : g[v].next()) { if (e.to == parent(v)) continue; self(self, e.to); } if (sz[v] != 1) { self(self, g[v][0].to); for (int i = out[g[v][0].to]; i < out[v]; i++) { add(rev[i]); } } add(v); query(v); if (nxt[v] == v) { for (int i = in[v]; i < out[v]; i++) { clear(rev[i]); } reset(); } return; }; dfs(dfs, root); return; } } // namespace ebi #line 7 "test/tree/Vertex_Add_Subtree_Sum_Dsu_on_Tree.test.cpp" namespace ebi { void main_() { int n, q; std::cin >> n >> q; std::vector<i64> a(n); std::cin >> a; Graph<int> g(n); g.read_parents(0); std::vector<std::tuple<int, int, i64>> qs(q); std::vector q1(n, std::vector<int>()), q2(n, std::vector<int>()); for (int i = 0; auto &[t, u, x] : qs) { std::cin >> t >> u; if (t == 0) { q1[u].emplace_back(i); std::cin >> x; } else { q2[u].emplace_back(i); } i++; } i64 sum = 0; std::vector<i64> ans(q, -1); fenwick_tree<i64> fw(q); auto add = [&](int v) -> void { sum += a[v]; for (auto i : q1[v]) { i64 x = std::get<2>(qs[i]); fw.add(i, x); } }; auto query = [&](int v) -> void { for (auto i : q2[v]) { ans[i] = sum + fw.prefix_sum(i); } }; auto clear = [&](int v) -> void { sum -= a[v]; for (auto i : q1[v]) { i64 x = std::get<2>(qs[i]); fw.add(i, -x); } }; auto reset = [&]() -> void { }; heavy_light_decomposition hld(g); hld.dsu_on_tree(add, query, clear, reset); rep(i, 0, q) { if (ans[i] == -1) continue; std::cout << ans[i] << '\n'; } } } // namespace ebi int main() { ebi::fast_io(); int t = 1; // std::cin >> t; while (t--) { ebi::main_(); } return 0; }