結果
| 問題 | No.1038 TreeAddQuery |
| ユーザー |
 suisen
|
| 提出日時 | 2022-08-05 21:26:35 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 671 ms / 4,000 ms |
| コード長 | 8,713 bytes |
| コンパイル時間 | 1,587 ms |
| コンパイル使用メモリ | 108,616 KB |
| 実行使用メモリ | 71,844 KB |
| 最終ジャッジ日時 | 2024-09-15 17:31:02 |
| 合計ジャッジ時間 | 13,474 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
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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 | 7 ms
5,376 KB |
| testcase_04 | AC | 7 ms
5,376 KB |
| testcase_05 | AC | 7 ms
5,376 KB |
| testcase_06 | AC | 7 ms
5,376 KB |
| testcase_07 | AC | 8 ms
5,376 KB |
| testcase_08 | AC | 412 ms
51,120 KB |
| testcase_09 | AC | 432 ms
51,740 KB |
| testcase_10 | AC | 437 ms
51,876 KB |
| testcase_11 | AC | 467 ms
51,952 KB |
| testcase_12 | AC | 462 ms
52,016 KB |
| testcase_13 | AC | 671 ms
71,844 KB |
| testcase_14 | AC | 556 ms
56,608 KB |
| testcase_15 | AC | 521 ms
54,412 KB |
| testcase_16 | AC | 520 ms
53,584 KB |
| testcase_17 | AC | 502 ms
52,960 KB |
| testcase_18 | AC | 211 ms
50,356 KB |
| testcase_19 | AC | 218 ms
50,500 KB |
| testcase_20 | AC | 209 ms
50,592 KB |
| testcase_21 | AC | 228 ms
50,436 KB |
| testcase_22 | AC | 242 ms
50,420 KB |
| testcase_23 | AC | 270 ms
50,512 KB |
| testcase_24 | AC | 305 ms
50,768 KB |
| testcase_25 | AC | 650 ms
71,664 KB |
| testcase_26 | AC | 428 ms
61,604 KB |
ソースコード
#include <iostream>
#include <chrono>
#include <algorithm>
#include <array>
#include <cassert>
#include <deque>
#include <iostream>
#include <queue>
#include <utility>
#include <vector>
namespace suisen {
namespace default_operator {
template <typename T>
auto zero() -> decltype(T { 0 }) { return T { 0 }; }
template <typename T>
auto one() -> decltype(T { 1 }) { return T { 1 }; }
template <typename T>
auto add(const T &x, const T &y) -> decltype(x + y) { return x + y; }
template <typename T>
auto sub(const T &x, const T &y) -> decltype(x - y) { return x - y; }
template <typename T>
auto mul(const T &x, const T &y) -> decltype(x * y) { return x * y; }
template <typename T>
auto div(const T &x, const T &y) -> decltype(x / y) { return x / y; }
template <typename T>
auto mod(const T &x, const T &y) -> decltype(x % y) { return x % y; }
template <typename T>
auto neg(const T &x) -> decltype(-x) { return -x; }
template <typename T>
auto inv(const T &x) -> decltype(one<T>() / x) { return one<T>() / x; }
} // default_operator
namespace default_operator_noref {
template <typename T>
auto zero() -> decltype(T { 0 }) { return T { 0 }; }
template <typename T>
auto one() -> decltype(T { 1 }) { return T { 1 }; }
template <typename T>
auto add(T x, T y) -> decltype(x + y) { return x + y; }
template <typename T>
auto sub(T x, T y) -> decltype(x - y) { return x - y; }
template <typename T>
auto mul(T x, T y) -> decltype(x * y) { return x * y; }
template <typename T>
auto div(T x, T y) -> decltype(x / y) { return x / y; }
template <typename T>
auto mod(T x, T y) -> decltype(x % y) { return x % y; }
template <typename T>
auto neg(T x) -> decltype(-x) { return -x; }
template <typename T>
auto inv(T x) -> decltype(one<T>() / x) { return one<T>() / x; }
} // default_operator
} // namespace suisen
namespace suisen {
template <typename T, T(*_add)(T, T) = default_operator_noref::add<T>, T(*_zero)() = default_operator_noref::zero<T>, T(*_neg)(T) = default_operator_noref::neg<T>>
struct PointGetRangeContourAddOnTree {
using value_type = T;
private:
struct InternalFenwickTree {
InternalFenwickTree() = default;
InternalFenwickTree(int n) : _n(n), _dat(_n + 1, _zero()) {}
value_type get(int i) const {
value_type res = _zero();
for (++i; i; i -= i & -i) res = _add(res, _dat[i]);
return res;
}
void add(int l, int r, const value_type& val) {
l = std::max(0, l), r = std::min(r, _n);
if (l < r) add(l, val), add(r, _neg(val));
}
private:
int _n;
std::vector<value_type> _dat;
void add(int r, const value_type& val) {
for (++r; r <= _n; r += r & -r) _dat[r] = _add(_dat[r], val);
}
};
using sequence_type = InternalFenwickTree;
struct AuxInfo {
int child_index;
int dist;
};
struct TreeNode {
std::vector<int> adj;
typename std::array<AuxInfo, 30>::iterator info_it;
};
public:
PointGetRangeContourAddOnTree(int n = 0, const value_type& fill_value = _zero()) : PointGetRangeContourAddOnTree(std::vector<value_type>(n, fill_value)) {}
PointGetRangeContourAddOnTree(const std::vector<value_type>& dat) : _n(dat.size()), _dat(dat), _nodes(_n), _par(_n, -1), _info(_n), _subtrees(_n), _trees(_n) {
_par.reserve(2 * _n);
_subtrees.reserve(2 * _n);
for (int i = 0; i < _n; ++i) {
_nodes[i].info_it = _info[i].begin();
}
}
void add_edge(int u, int v) {
_nodes[u].adj.push_back(v);
_nodes[v].adj.push_back(u);
}
void build() {
std::vector<int> sub_size(_n, 0);
auto build_sequence = [this](int root, const int child_index) {
std::deque<std::pair<int, int>> dq { { root, -1 } };
int dist = -1, nxt = root;
while (dq.size()) {
const auto [u, pu] = dq.front();
dq.pop_front();
if (u == nxt) ++dist, nxt = -1;
auto& node = _nodes[u];
if (child_index >= 0) *node.info_it++ = { child_index, dist };
for (int v : node.adj) if (v != pu) {
dq.emplace_back(v, u);
if (nxt < 0) nxt = v;
}
}
return sequence_type(dist + 1);
};
auto rec = [&](auto rec, int r, int siz) -> int {
int c = -1;
auto get_centroid = [&](auto get_centroid, int u, int p) -> void {
sub_size[u] = 1;
for (int v : _nodes[u].adj) if (v != p) {
get_centroid(get_centroid, v, u);
if (v == c) {
sub_size[u] = siz - sub_size[c];
break;
}
sub_size[u] += sub_size[v];
}
if (c < 0 and sub_size[u] * 2 > siz) c = u;
};
get_centroid(get_centroid, r, -1);
const int ch_num = _nodes[c].adj.size();
_subtrees[c].resize(ch_num);
for (int i = 0; i < ch_num; ++i) {
const int v = _nodes[c].adj[i];
_nodes[v].adj.erase(std::find(_nodes[v].adj.begin(), _nodes[v].adj.end(), c));
_par[rec(rec, v, sub_size[v])] = c;
_subtrees[c][i] = build_sequence(v, i);
}
_trees[c] = build_sequence(c, -1);
for (int v : _nodes[c].adj) _nodes[v].adj.push_back(c);
return c;
};
rec(rec, 0, _n);
}
value_type get(int u) const {
value_type res = _dat[u] + _trees[u].get(0);
int v = _par[u];
const auto it_end = _nodes[u].info_it;
for (auto it = _info[u].begin(); it != it_end; ++it) {
res = _add(res, _trees[v].get(it->dist + 1));
res = _add(res, _subtrees[v][it->child_index].get(it->dist));
v = _par[v];
}
return res;
}
void set(int u, const value_type& new_val) {
add(u, _add(new_val, _neg(get(u))));
}
void add(int u, const value_type &val) {
_nodes[u].dat = _add(_dat[u], val);
}
void add(int u, int dl, int dr, const value_type &val) {
_trees[u].add(dl, dr, val);
int v = _par[u];
const auto it_end = _nodes[u].info_it;
for (auto it = _info[u].begin(); it != it_end; ++it) {
int ql = dl - it->dist - 1, qr = dr - it->dist - 1;
_trees[v].add(ql, qr, val);
_subtrees[v][it->child_index].add(ql - 1, qr - 1, _neg(val));
v = _par[v];
}
}
private:
int _n;
std::vector<value_type> _dat;
std::vector<TreeNode> _nodes;
std::vector<int> _par;
std::vector<std::array<AuxInfo, 30>> _info;
std::vector<std::vector<sequence_type>> _subtrees;
std::vector<sequence_type> _trees;
};
} // namespace suisen
int main() {
auto beg_time = std::chrono::system_clock::now();
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n, q;
std::cin >> n >> q;
suisen::PointGetRangeContourAddOnTree<long long> g(n);
for (int i = 0; i < n - 1; ++i) {
int u, v;
std::cin >> u >> v;
--u, --v;
g.add_edge(u, v);
}
g.build();
auto mid_time = std::chrono::system_clock::now();
std::cerr << "build time : " << std::chrono::duration_cast<std::chrono::milliseconds>(mid_time - beg_time).count() << std::endl;
for (int i = 0; i < q; ++i) {
int x, y, z;
std::cin >> x >> y >> z;
--x, ++y;
std::cout << g.get(x) << '\n';
g.add(x, 0, y, z);
}
auto end_time = std::chrono::system_clock::now();
std::cerr << "query time : " << std::chrono::duration_cast<std::chrono::milliseconds>(end_time - mid_time).count() << std::endl;
return 0;
}