This documentation is automatically generated by online-judge-tools/verification-helper
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/dynamic_tree_vertex_add_subtree_sum
#include "../../template/template.hpp"
#include "../../structure/develop/vertex-set-subtree-sum.hpp"
int main() {
int N, Q;
cin >> N >> Q;
LCT lct;
vector< LCT::NP > vs(N);
for(int i = 0; i < N; i++) {
T x;
cin >> x;
vs[i] = lct.alloc(x);
}
for(int i = 1; i < N; i++) {
int a, b;
cin >> a >> b;
lct.evert(vs[a]);
lct.link(vs[a], vs[b]);
}
while(Q--) {
int t;
cin >> t;
if(t == 0) {
int u, v, w, x;
cin >> u >> v >> w >> x;
lct.evert(vs[u]);
lct.cut(vs[v]);
lct.evert(vs[w]);
lct.link(vs[w], vs[x]);
} else if(t == 1) {
int p;
T x;
cin >> p >> x;
lct.set_key(vs[p], lct.get_info(vs[p]).sum + x);
} else {
int v, p;
cin >> v >> p;
lct.evert(vs[p]);
cout << lct.query_subtree(vs[v]).sum_sum << "\n";
}
}
}
#line 1 "test/verify/yosupo-dynamic-tree-vertex-add-subtree-sum-2.test.cpp"
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/dynamic_tree_vertex_add_subtree_sum
#line 1 "template/template.hpp"
#include <bits/stdc++.h>
using namespace std;
using int64 = long long;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
for (int i = 0; i < (int)v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (T &in : v) is >> in;
return is;
}
template <typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {
return a < b && (a = b, true);
}
template <typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {
return a > b && (a = b, true);
}
template <typename T = int64>
vector<T> make_v(size_t a) {
return vector<T>(a);
}
template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
t = v;
}
template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
for (auto &e : t) fill_v(e, v);
}
template <typename F>
struct FixPoint : F {
explicit FixPoint(F &&f) : F(forward<F>(f)) {}
template <typename... Args>
decltype(auto) operator()(Args &&...args) const {
return F::operator()(*this, forward<Args>(args)...);
}
};
template <typename F>
inline decltype(auto) MFP(F &&f) {
return FixPoint<F>{forward<F>(f)};
}
#line 4 "test/verify/yosupo-dynamic-tree-vertex-add-subtree-sum-2.test.cpp"
#line 1 "structure/develop/super-link-cut-tree.hpp"
/**
* @brief 何でもできるLCT
*/
template <typename LInfo, typename Lazy>
struct SplayTree {
struct Node {
Node *l, *r, *p;
LInfo info;
Lazy lazy, lbuf;
explicit Node(const LInfo &info)
: info(info),
l(nullptr),
r(nullptr),
p(nullptr),
lazy(Lazy()),
lbuf(Lazy()) {}
};
const LInfo e;
SplayTree() : e(LInfo()) {}
using NP = Node *;
void rotr(NP t) {
NP x = t->p, y = x->p;
push(x), push(t);
if ((x->l = t->r)) t->r->p = x;
t->r = x, x->p = t;
update(x), update(t);
if ((t->p = y)) {
if (y->l == x) y->l = t;
if (y->r == x) y->r = t;
}
}
void rotl(NP t) {
NP x = t->p, y = x->p;
push(x), push(t);
if ((x->r = t->l)) t->l->p = x;
t->l = x, x->p = t;
update(x), update(t);
if ((t->p = y)) {
if (y->l == x) y->l = t;
if (y->r == x) y->r = t;
}
}
const LInfo &get_info(NP t) { return t ? t->info : e; }
void update(NP t) { t->info.update(get_info(t->l), get_info(t->r)); }
NP get_right(NP t) {
while (t->r) t = t->r;
return t;
}
NP alloc(const LInfo &v) {
auto t = new Node(v);
update(t);
return t;
}
void propagate(NP t, const Lazy &lazy) {
t->info.propagate(lazy);
t->lbuf.propagate(lazy);
t->lazy.propagate(lazy);
}
void push(NP t) {
if (t->l) propagate(t->l, t->lazy);
if (t->r) propagate(t->r, t->lazy);
t->lazy = Lazy();
}
void splay(NP t) {
push(t);
while (t->p) {
NP q = t->p;
if (!q->p) {
if (q->l == t)
rotr(t);
else
rotl(t);
} else {
NP r = q->p;
if (r->l == q) {
if (q->l == t)
rotr(q), rotr(t);
else
rotl(t), rotr(t);
} else {
if (q->r == t)
rotl(q), rotl(t);
else
rotr(t), rotl(t);
}
}
}
}
NP insert(NP t, const LInfo &v) {
if (not t) {
t = alloc(v);
return t;
} else {
NP cur = get_right(t), z = alloc(v);
splay(cur);
z->p = cur;
cur->r = z;
update(cur);
splay(z);
return z;
}
}
NP erase(NP t) {
splay(t);
NP x = t->l, y = t->r;
delete t;
if (not x) {
t = y;
if (t) t->p = nullptr;
} else if (not y) {
t = x;
t->p = nullptr;
} else {
x->p = nullptr;
t = get_right(x);
splay(t);
t->r = y;
y->p = t;
update(t);
}
return t;
}
};
template <template <typename, typename> typename _Info,
template <typename> typename _LInfo, typename Lazy>
struct SuperLinkCutTree {
using LInfo = _LInfo<Lazy>;
using Info = _Info<LInfo, Lazy>;
private:
struct Node {
Node *l, *r, *p;
Info info;
typename SplayTree<LInfo, Lazy>::Node *light, *belong;
bool rev;
Lazy hlazy, llazy;
bool is_root() const { return not p or (p->l != this and p->r != this); }
explicit Node(const Info &info)
: info(info),
l(nullptr),
r(nullptr),
p(nullptr),
rev(false),
light(nullptr),
belong(nullptr),
hlazy(Lazy()),
llazy(Lazy()) {}
};
public:
using NP = Node *;
SplayTree<LInfo, Lazy> splay_tree;
private:
const Info e;
private:
void toggle(NP t) {
swap(t->l, t->r);
t->info.toggle();
t->rev ^= true;
}
void rotr(NP t) {
NP x = t->p, y = x->p;
push(x), push(t);
if ((x->l = t->r)) t->r->p = x;
t->r = x, x->p = t;
update(x), update(t);
if ((t->p = y)) {
if (y->l == x) y->l = t;
if (y->r == x) y->r = t;
}
}
void rotl(NP t) {
NP x = t->p, y = x->p;
push(x), push(t);
if ((x->r = t->l)) t->l->p = x;
t->l = x, x->p = t;
update(x), update(t);
if ((t->p = y)) {
if (y->l == x) y->l = t;
if (y->r == x) y->r = t;
}
}
void propagate_heavy(NP t, const Lazy &hlazy) {
t->hlazy.propagate(hlazy);
t->info.propagate(hlazy);
}
void propagate_light(NP t, const Lazy &llazy) {
t->llazy.propagate(llazy);
t->info.propagate_light(llazy);
}
void propagate_all(NP t, const Lazy &lazy) {
propagate_heavy(t, lazy);
propagate_light(t, lazy);
}
public:
SuperLinkCutTree() : e{Info()}, splay_tree{} {}
void push(NP t) {
if (t->rev) {
if (t->l) toggle(t->l);
if (t->r) toggle(t->r);
t->rev = false;
}
{
if (t->l) {
propagate_heavy(t->l, t->hlazy);
propagate_light(t->l, t->llazy);
}
if (t->r) {
propagate_heavy(t->r, t->hlazy);
propagate_light(t->r, t->llazy);
}
if (t->light) {
splay_tree.propagate(t->light, t->llazy);
}
t->hlazy = Lazy();
t->llazy = Lazy();
}
}
void push_rev(NP t) {
if (t->rev) {
if (t->l) toggle(t->l);
if (t->r) toggle(t->r);
t->rev = false;
}
}
const Info &get_info(NP t) { return t ? t->info : e; }
void update(NP t) {
t->info.update(get_info(t->l), get_info(t->r),
splay_tree.get_info(t->light));
}
void splay(NP t) {
push(t);
{
NP rot = t;
while (not rot->is_root()) rot = rot->p;
t->belong = rot->belong;
if (t != rot) rot->belong = nullptr;
}
while (not t->is_root()) {
NP q = t->p;
if (q->is_root()) {
push_rev(q), push_rev(t);
if (q->l == t)
rotr(t);
else
rotl(t);
} else {
NP r = q->p;
push_rev(r), push_rev(q), push_rev(t);
if (r->l == q) {
if (q->l == t)
rotr(q), rotr(t);
else
rotl(t), rotr(t);
} else {
if (q->r == t)
rotl(q), rotl(t);
else
rotr(t), rotl(t);
}
}
}
}
NP expose(NP t) {
NP rp = nullptr;
for (NP cur = t; cur; cur = cur->p) {
splay(cur);
if (cur->r) {
cur->light = splay_tree.insert(cur->light, cur->r->info.link());
cur->r->belong = cur->light;
}
cur->r = rp;
if (cur->r) {
splay_tree.splay(cur->r->belong);
propagate_all(cur->r, cur->r->belong->lbuf);
push(cur->r);
cur->light = splay_tree.erase(cur->r->belong);
}
update(cur);
rp = cur;
}
splay(t);
return rp;
}
void link(NP child, NP parent) {
expose(parent);
expose(child);
child->p = parent;
parent->r = child;
update(parent);
}
void cut(NP child) {
expose(child);
NP parent = child->l;
child->l = nullptr;
parent->p = nullptr;
update(child);
}
void evert(NP t) {
expose(t);
toggle(t);
push(t);
}
NP alloc(const Info &info) {
NP t = new Node(info);
update(t);
return t;
}
bool is_connected(NP u, NP v) {
expose(u), expose(v);
return u == v or u->p;
}
vector<NP> build(vector<Info> &vs) {
vector<NP> nodes(vs.size());
for (int i = 0; i < (int)vs.size(); i++) {
nodes[i] = alloc(vs[i]);
}
return nodes;
}
NP lca(NP u, NP v) {
if (not is_connected(u, v)) return nullptr;
expose(u);
return expose(v);
}
void set_key(NP t, const Info &v) {
expose(t);
t->info = move(v);
update(t);
}
void set_propagate_path(NP t, const Lazy &lazy) {
expose(t);
propagate_heavy(t, lazy);
push(t);
update(t);
}
void set_propagate_path(NP u, NP v, const Lazy &lazy) {
evert(u);
set_propagate_path(v, lazy);
}
void set_propagate_all(NP t, const Lazy &lazy) {
expose(t);
propagate_all(t, lazy);
push(t);
update(t);
}
void set_propagate_subtree(NP t, const Lazy &lazy) {
expose(t);
NP l = t->l;
t->l = nullptr;
propagate_all(t, lazy);
push(t);
t->l = l;
update(t);
}
const Info &query(NP u) {
expose(u);
return get_info(u);
}
const Info &query_path(NP u, NP v) {
evert(u);
expose(v);
return get_info(v);
}
Info query_subtree(NP u) {
expose(u);
NP l = u->l;
u->l = nullptr;
update(u);
auto ret = u->info;
u->l = l;
update(u);
return ret;
}
};
/*
using T = int64_t;
// 遅延伝搬をするための作用素
struct Lazy {
// 単位元
Lazy() {}
// 初期化
Lazy(T v) {}
// 遅延伝搬
void propagate(const Lazy &p) {}
};
// Light-edge の情報
template< typename Lazy >
struct LInfo {
// 単位元(キーの値はアクセスしないので未初期化でもよい
LInfo() {}
// 初期化
LInfo(T v) {}
// l, r は Splay-tree の子 (原理上、各ノード区別はない)
void update(const LInfo &l, const LInfo &r) {}
// 部分木への遅延伝搬
void propagate(const Lazy &p) {}
};
// Heavy-edge の情報
template< typename LInfo, typename Lazy >
struct Info {
// 単位元(キーの値はアクセスしないので未初期化でもよい
Info() {}
// 初期化
Info(T v) {}
// 反転
void toggle() {}
// pが親, cがheavy-edgeで結ばれた子, lがそれ以外の子
void update(const Info &p, const Info &c, const LInfo &l) {}
// 親と light-edge で繋げる
LInfo link() const { return LInfo(); }
// 遅延伝搬
void propagate(const Lazy &p) {}
// light-edgeに対する遅延伝搬
// pathとsubtreeの遅延伝搬が両方ある場合に実装する
void propagate_light(const Lazy &p) {}
};
using LCT = SuperLinkCutTree< Info, LInfo, Lazy >;
*/
#line 2 "structure/develop/vertex-set-subtree-sum.hpp"
/**
* @brief Vertex Set Subtree Sum
*/
using T = int64_t;
// 遅延伝搬をするための作用素
struct Lazy {
// 単位元
Lazy() {}
// 初期化
Lazy(T v) {}
// 遅延伝搬
void propagate(const Lazy &p) {}
};
// Light-edge の情報
template <typename Lazy>
struct LInfo {
T sum;
T sum_sum;
// 単位元(キーの値はアクセスしないので未初期化でもよい
LInfo() : sum_sum{0} {}
// 初期化
LInfo(T sum) : sum{sum} {}
// l, r は Splay-tree の子 (原理上、各ノード区別はない)
void update(const LInfo &l, const LInfo &r) {
sum_sum = l.sum_sum + sum + r.sum_sum;
}
// 部分木への遅延伝搬
void propagate(const Lazy &p) {}
};
// Heavy-edge の情報
template <typename LInfo, typename Lazy>
struct Info {
T sum;
T sum_sum;
// 単位元(キーの値はアクセスしないので未初期化でもよい
Info() : sum_sum{0} {}
// 初期化
Info(T sum) : sum{sum} {}
// 反転
void toggle() {}
// pが親, cがheavy-edgeで結ばれた子, lがそれ以外の子
void update(const Info &p, const Info &c, const LInfo &l) {
sum_sum = p.sum_sum + sum + (c.sum_sum + l.sum_sum);
}
// 親と light-edge で繋げる
LInfo link() const { return LInfo(sum_sum); }
// 遅延伝搬
void propagate(const Lazy &p) {}
// light-edgeに対する遅延伝搬
// pathとsubtreeの遅延伝搬が両方ある場合に実装する
void propagate_light(const Lazy &p) {}
};
using LCT = SuperLinkCutTree<Info, LInfo, Lazy>;
#line 6 "test/verify/yosupo-dynamic-tree-vertex-add-subtree-sum-2.test.cpp"
int main() {
int N, Q;
cin >> N >> Q;
LCT lct;
vector< LCT::NP > vs(N);
for(int i = 0; i < N; i++) {
T x;
cin >> x;
vs[i] = lct.alloc(x);
}
for(int i = 1; i < N; i++) {
int a, b;
cin >> a >> b;
lct.evert(vs[a]);
lct.link(vs[a], vs[b]);
}
while(Q--) {
int t;
cin >> t;
if(t == 0) {
int u, v, w, x;
cin >> u >> v >> w >> x;
lct.evert(vs[u]);
lct.cut(vs[v]);
lct.evert(vs[w]);
lct.link(vs[w], vs[x]);
} else if(t == 1) {
int p;
T x;
cin >> p >> x;
lct.set_key(vs[p], lct.get_info(vs[p]).sum + x);
} else {
int v, p;
cin >> v >> p;
lct.evert(vs[p]);
cout << lct.query_subtree(vs[v]).sum_sum << "\n";
}
}
}
Env | Name | Status | Elapsed | Memory |
---|---|---|---|---|
g++ | example_00 | AC | 6 ms | 4 MB |
g++ | max_random_00 | AC | 626 ms | 29 MB |
g++ | max_random_01 | AC | 584 ms | 29 MB |
g++ | max_random_02 | AC | 657 ms | 29 MB |
g++ | max_random_03 | AC | 562 ms | 29 MB |
g++ | max_random_04 | AC | 588 ms | 29 MB |
g++ | random_00 | AC | 383 ms | 19 MB |
g++ | random_01 | AC | 425 ms | 22 MB |
g++ | random_02 | AC | 220 ms | 10 MB |
g++ | random_03 | AC | 244 ms | 24 MB |
g++ | random_04 | AC | 138 ms | 6 MB |
g++ | small_00 | AC | 8 ms | 4 MB |
g++ | small_01 | AC | 7 ms | 4 MB |
g++ | small_02 | AC | 7 ms | 4 MB |
g++ | small_03 | AC | 7 ms | 4 MB |
g++ | small_04 | AC | 7 ms | 4 MB |
clang++ | example_00 | AC | 6 ms | 4 MB |
clang++ | max_random_00 | AC | 598 ms | 29 MB |
clang++ | max_random_01 | AC | 591 ms | 29 MB |
clang++ | max_random_02 | AC | 675 ms | 29 MB |
clang++ | max_random_03 | AC | 612 ms | 29 MB |
clang++ | max_random_04 | AC | 603 ms | 29 MB |
clang++ | random_00 | AC | 389 ms | 19 MB |
clang++ | random_01 | AC | 425 ms | 22 MB |
clang++ | random_02 | AC | 223 ms | 10 MB |
clang++ | random_03 | AC | 252 ms | 24 MB |
clang++ | random_04 | AC | 136 ms | 6 MB |
clang++ | small_00 | AC | 8 ms | 4 MB |
clang++ | small_01 | AC | 7 ms | 4 MB |
clang++ | small_02 | AC | 7 ms | 4 MB |
clang++ | small_03 | AC | 8 ms | 4 MB |
clang++ | small_04 | AC | 7 ms | 4 MB |