結果
| 問題 |
No.900 aδδitivee
|
| コンテスト | |
| ユーザー |
haruki_K
|
| 提出日時 | 2020-03-06 05:44:50 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 152 ms / 2,000 ms |
| コード長 | 10,405 bytes |
| コンパイル時間 | 2,360 ms |
| コンパイル使用メモリ | 194,056 KB |
| 実行使用メモリ | 19,332 KB |
| 最終ジャッジ日時 | 2024-10-14 02:35:11 |
| 合計ジャッジ時間 | 7,146 ms |
|
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 27 |
ソースコード
// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
#define int ll
#define double ld
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define rep1(i,n) for (int i = 1; i <= (int)(n); i++)
#define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i,n) for (int i = (int)(n); i >= 1; i--)
#define loop(i,a,B) for (int i = a; i B; i++)
#define loopR(i,a,B) for (int i = a; i B; i--)
#define all(x) (x).begin(), (x).end()
#define allR(x) (x).rbegin(), (x).rend()
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fst first
#define snd second
auto constexpr INF32 = numeric_limits<int32_t>::max()/2-1;
auto constexpr INF64 = numeric_limits<int64_t>::max()/2-1;
auto constexpr INF = numeric_limits<int>::max()/2-1;
#ifdef LOCAL
#include "debug.hpp"
#define dump(...) cerr << "[" << setw(3) << __LINE__ << ":" << __FUNCTION__ << "] ", dump_impl(#__VA_ARGS__, __VA_ARGS__)
#define say(x) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] " << x << endl
#define debug if (1)
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T> using pque_max = priority_queue<T>;
template <class T> using pque_min = priority_queue<T, vector<T>, greater<T> >;
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; }
template <class T, class S> istream& operator>>(istream& is, pair<T,S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint {
template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); }
};
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
using type = vector<typename vec_impl<T,d-1>::type>;
template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T,d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T,0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T,d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T,d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T> constexpr bool chmin(T& x, T const& y) { if (x > y) { x = y; return true; } return false; }
template <class T> constexpr bool chmax(T& x, T const& y) { if (x < y) { x = y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b,e,typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) {
return lower_bound(v.begin(), v.end(), x)-v.begin();
}
template <class C, class T> int ubd(C const& v, T const& x) {
return upper_bound(v.begin(), v.end(), x)-v.begin();
}
template <class C, class F> int ppt(C const& v, F f) {
return partition_point(v.begin(), v.end(), f)-v.begin();
}
// <<<
// >>> HLD
struct HLD {
vector<vector<int32_t>> g;
vector<int32_t> vid,inv,head,sz,dep,par;
bool built = false;
void dfs1(int x) {
for (auto &y : g[x]) {
if (y == par[x]) {
swap(y, g[x].back());
g[x].pop_back();
break;
}
}
for (auto &y : g[x]) {
par[y] = x;
dep[y] = dep[x] + 1;
dfs1(y);
sz[x] += sz[y];
if (sz[y] > sz[g[x][0]]) swap(y, g[x][0]);
}
}
void dfs2(int x, int &id) {
vid[x] = id++;
for (auto y : g[x]) {
head[y] = (y == g[x][0] ? head[x] : y);
dfs2(y,id);
}
}
HLD(int n) : g(n),vid(n),inv(n),head(n),sz(n,1),dep(n,0),par(n,-1) {}
void add_edge(int x, int y) {
g[x].push_back(y);
g[y].push_back(x);
built = false;
}
void build(int root = 0) {
dfs1(root);
head[root] = root;
int id = 0;
dfs2(root,id);
rep (x,g.size()) inv[vid[x]] = x;
built = true;
}
int lca(int x, int y) const {
assert(built);
while (1) {
if (vid[x] > vid[y]) swap(x,y);
if (head[x] == head[y]) return x;
y = par[head[y]];
}
}
int dist(int x, int y) const {
assert(built);
return dep[x] + dep[y] - 2*dep[lca(x,y)];
}
int edge_id(int x, int y) const {
assert(built);
if (x == par[y]) return vid[y];
if (y == par[x]) return vid[x];
return -1;
}
vector<pair<int,int>> path(int x, int y, bool with_lca) const {
assert(built);
vector<pair<int,int>> ret;
while (1) {
if (vid[x] > vid[y]) swap(x,y);
if (head[x] == head[y]) {
ret.emplace_back(vid[x] + (with_lca ? 0 : 1), vid[y]+1);
return ret;
} else {
ret.emplace_back(vid[head[y]], vid[y]+1);
y = par[head[y]];
}
}
}
vector<pair<int,int>> vertices(int x, int y) const {
return path(x,y,true);
}
vector<pair<int,int>> edges(int x, int y) const {
return path(x,y,false);
}
};
// <<<
// >>> lazy segment tree
template <class Handler>
struct LazySegtree : Handler {
static int32_t btmbit(int64_t x) { return x ? __builtin_ctzll(x) : -1; }
// static int32_t btmbit(int32_t x) { return x ? __builtin_ctz(x) : -1; }
using Value = typename Handler::Value;
using Lazy = typename Handler::Lazy;
using Handler::unit_value; // () -> Value
using Handler::unit_action; // () -> Lazy
using Handler::merge; // (Value,Value) -> Value
using Handler::act; // (Lazy,Lazy&,Value&) -> void
vector<Value> v;
vector<Lazy> lz;
int n;
mutable Lazy tmp;
LazySegtree() {}
template <class... T> LazySegtree(T&&... x) { init(forward<T>(x)...); }
template <class F, class = decltype(declval<F>()(0))>
void init(int n, F gen) {
assert(n >= 0); this->n = n;
v.resize(2*n); lz.assign(n, unit_action());
for (int i = 0; i < n; i++) v[n+i] = gen(i);
for (int i = n-1; i >= 1; i--) v[i] = merge(v[2*i],v[2*i+1]);
}
void init(int n) { init(n, [&](int) { return unit_value(); }); }
void init(int n, Value const& x) { init(n, [&](int) { return x; }); }
void init(vector<Value> const& v) { init(v.size(), [&](int i) { return v[i]; }); }
int size() const { return n; }
void act(Lazy const& x, int i) { act(x, (i < n ? lz[i] : tmp), v[i]); }
void flush(int k) {
if (n <= k || lz[k] == unit_action()) return;
act(lz[k], 2*k);
act(lz[k], 2*k+1);
lz[k] = unit_action();
}
void flush(int l, int r) {
for (int p = __lg(l += n), q = __lg(r += n-1); q; --p,--q) {
flush(l >> p); flush(r >> q);
}
}
void build(int i) {
i += n; i >>= btmbit(i);
while (i >>= 1) v[i] = merge(v[2*i],v[2*i+1]);
}
Value get(int l, int r) {
assert(0 <= l); assert(l <= r); assert(r <= n);
flush(l,r);
Value x = unit_value(), y = unit_value();
for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
if (l&1) x = merge(x,v[l++]);
if (r&1) y = merge(v[--r],y);
}
return merge(x,y);
}
void apply(int l, int r, Lazy const& x) {
assert(0 <= l); assert(l <= r); assert(r <= n);
flush(l,r);
for (int a = l+n, b = r+n; a < b; a >>= 1, b >>= 1) {
if (a&1) act(x, a++);
if (b&1) act(x, --b);
}
build(l); build(r);
}
Value operator[](int i) const { return get(i); }
Value get(int i) const {
assert(0 <= i); assert(i < n);
Value x = v[i += n];
while (i >>= 1) act(lz[i], tmp, x);
return x;
}
void set(int i, Value const& x) {
assert(0 <= i); assert(i < n);
for (int p = __lg(i += n); p; --p) flush(i >> p);
for (v[i] = x; i >>= 1; ) v[i] = merge(v[2*i],v[2*i+1]);
}
vector<Value> dat() const {
vector<Value> ret(size());
for (int i = 0; i < size(); i++) ret[i] = get(i);
return ret;
}
};
// <<<
struct RangeSumAdd {
using Value = pair<int,int>; // (value, node length)
using Lazy = int;
constexpr static Value unit_value() { return {0,0}; }
constexpr static Lazy unit_action() { return 0; }
constexpr static Value merge(Value const& x, Value const& y) {
return { x.fst + y.fst, x.snd + y.snd };
}
static void act(Lazy x, Lazy &y, Value &z) {
y += x;
z.fst += x * z.snd;
}
};
int32_t main() {
int n; cin >> n;
HLD hld(n);
vector<tuple<int,int,int>> es;
rep (i,n-1) {
int u,v,w; cin >> u >> v >> w;
hld.add_edge(u,v);
es.eb(u,v,w);
}
hld.build();
LazySegtree<RangeSumAdd> seg(n);
for (auto tup : es) {
int u,v,w; tie(u,v,w) = tup;
seg.set(hld.edge_id(u,v), mp(w,1LL));
}
int q; cin >> q;
rep (_,q) {
int type; cin >> type;
if (type == 1) {
int a,x; cin >> a >> x;
int l = hld.vid[a]+1, r = hld.vid[a] + hld.sz[a];
seg.apply(l,r,x);
} else {
int b; cin >> b;
int sum = 0;
for (auto p : hld.edges(0,b)) {
int l,r; tie(l,r) = p;
sum += seg.get(l,r).fst;
}
cout << sum << "\n";
}
}
}
haruki_K