結果

問題 No.2439 Fragile Apple Tree
ユーザー rniya
提出日時 2023-08-19 00:14:47
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,820 ms / 10,000 ms
コード長 13,821 bytes
コンパイル時間 2,981 ms
コンパイル使用メモリ 219,024 KB
最終ジャッジ日時 2025-02-16 11:09:45
ジャッジサーバーID
(参考情報)
judge3 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 30
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n)) x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
constexpr int bsf_constexpr(unsigned int n) {
int x = 0;
while (!(n & (1 << x))) x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
namespace atcoder {
template <class S,
S (*op)(S, S),
S (*e)(),
class F,
S (*mapping)(F, S),
F (*composition)(F, F),
F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
explicit lazy_segtree(const std::vector<S>& v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++) d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r) return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push((r - 1) >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1) sml = op(sml, d[l++]);
if (r & 1) smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++) update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r) return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1) all_apply(l++, f);
if (r & 1) all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l) update(l >> i);
if (((r >> i) << i) != r) update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n) return _n;
l += size;
for (int i = log; i >= 1; i--) push(l >> i);
S sm = e();
do {
while (l % 2 == 0) l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0) return 0;
r += size;
for (int i = log; i >= 1; i--) push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size) lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
struct HeavyLightDecomposition {
std::vector<std::vector<int>> G; // child of vertex v on heavy edge is G[v].front() if it is not parent of v
int n, time;
std::vector<int> par, // parent of vertex v
sub, // size of subtree whose root is v
dep, // distance bitween root and vertex v
head, // vertex that is the nearest to root on heavy path of vertex v
tree_id, // id of tree vertex v belongs to
vertex_id, // id of vertex v (consecutive on heavy paths)
vertex_id_inv; // vertex_id_inv[vertex_id[v]] = v
HeavyLightDecomposition(int n)
: G(n),
n(n),
time(0),
par(n, -1),
sub(n),
dep(n, 0),
head(n),
tree_id(n, -1),
vertex_id(n, -1),
vertex_id_inv(n) {}
void add_edge(int u, int v) {
assert(0 <= u and u < n);
assert(0 <= v and v < n);
G[u].emplace_back(v);
G[v].emplace_back(u);
}
void build(std::vector<int> roots = {0}) {
int tree_id_cur = 0;
for (int& r : roots) {
assert(0 <= r and r < n);
dfs_sz(r);
head[r] = r;
dfs_hld(r, tree_id_cur++);
}
assert(time == n);
for (int v = 0; v < n; v++) vertex_id_inv[vertex_id[v]] = v;
}
int idx(int v) const { return vertex_id[v]; }
int la(int v, int k) const {
assert(0 <= v and v < n);
assert(0 <= k and k <= dep[v]);
while (1) {
int u = head[v];
if (vertex_id[v] - k >= vertex_id[u]) return vertex_id_inv[vertex_id[v] - k];
k -= vertex_id[v] - vertex_id[u] + 1;
v = par[u];
}
}
int lca(int u, int v) const {
assert(0 <= u and u < n);
assert(0 <= v and v < n);
assert(tree_id[u] == tree_id[v]);
for (;; v = par[head[v]]) {
if (vertex_id[u] > vertex_id[v]) std::swap(u, v);
if (head[u] == head[v]) return u;
}
}
int jump(int s, int t, int i) const {
assert(0 <= s and s < n);
assert(0 <= t and t < n);
assert(0 <= i);
if (tree_id[s] != tree_id[t]) return -1;
if (i == 0) return s;
int p = lca(s, t), d = dep[s] + dep[t] - 2 * dep[p];
if (d < i) return -1;
if (dep[s] - dep[p] >= i) return la(s, i);
return la(t, d - i);
}
int distance(int u, int v) const {
assert(0 <= u and u < n);
assert(0 <= v and v < n);
assert(tree_id[u] == tree_id[v]);
return dep[u] + dep[v] - 2 * dep[lca(u, v)];
}
template <typename F> void query_path(int u, int v, const F& f, bool vertex = false) const {
assert(0 <= u and u < n);
assert(0 <= v and v < n);
assert(tree_id[u] == tree_id[v]);
int p = lca(u, v);
for (auto& e : ascend(u, p)) f(e.second, e.first + 1);
if (vertex) f(vertex_id[p], vertex_id[p] + 1);
for (auto& e : descend(p, v)) f(e.first, e.second + 1);
}
template <typename F> void query_path_noncommutative(int u, int v, const F& f, bool vertex = false) const {
assert(0 <= u and u < n);
assert(0 <= v and v < n);
assert(tree_id[u] == tree_id[v]);
int p = lca(u, v);
for (auto& e : ascend(u, p)) f(e.first + 1, e.second);
if (vertex) f(vertex_id[p], vertex_id[p] + 1);
for (auto& e : descend(p, v)) f(e.first, e.second + 1);
}
template <typename F> void query_subtree(int u, const F& f, bool vertex = false) const {
assert(0 <= u and u < n);
f(vertex_id[u] + !vertex, vertex_id[u] + sub[u]);
}
private:
void dfs_sz(int v) {
sub[v] = 1;
if (!G[v].empty() and G[v].front() == par[v]) std::swap(G[v].front(), G[v].back());
for (int& u : G[v]) {
if (u == par[v]) continue;
par[u] = v;
dep[u] = dep[v] + 1;
dfs_sz(u);
sub[v] += sub[u];
if (sub[u] > sub[G[v].front()]) std::swap(u, G[v].front());
}
}
void dfs_hld(int v, int tree_id_cur) {
vertex_id[v] = time++;
tree_id[v] = tree_id_cur;
for (int& u : G[v]) {
if (u == par[v]) continue;
head[u] = (u == G[v][0] ? head[v] : u);
dfs_hld(u, tree_id_cur);
}
}
std::vector<std::pair<int, int>> ascend(int u, int v) const { // [u, v), v is ancestor of u
std::vector<std::pair<int, int>> res;
while (head[u] != head[v]) {
res.emplace_back(vertex_id[u], vertex_id[head[u]]);
u = par[head[u]];
}
if (u != v) res.emplace_back(vertex_id[u], vertex_id[v] + 1);
return res;
}
std::vector<std::pair<int, int>> descend(int u, int v) const { // (u, v], u is ancestor of v
if (u == v) return {};
if (head[u] == head[v]) return {{vertex_id[u] + 1, vertex_id[v]}};
auto res = descend(u, par[head[v]]);
res.emplace_back(vertex_id[head[v]], vertex_id[v]);
return res;
}
};
using namespace std;
typedef long long ll;
#define all(x) begin(x), end(x)
constexpr int INF = (1 << 30) - 1;
constexpr long long IINF = (1LL << 60) - 1;
constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
template <class T> istream& operator>>(istream& is, vector<T>& v) {
for (auto& x : v) is >> x;
return is;
}
template <class T> ostream& operator<<(ostream& os, const vector<T>& v) {
auto sep = "";
for (const auto& x : v) os << exchange(sep, " ") << x;
return os;
}
template <class T, class U = T> bool chmin(T& x, U&& y) { return y < x and (x = forward<U>(y), true); }
template <class T, class U = T> bool chmax(T& x, U&& y) { return x < y and (x = forward<U>(y), true); }
template <class T> void mkuni(vector<T>& v) {
sort(begin(v), end(v));
v.erase(unique(begin(v), end(v)), end(v));
}
template <class T> int lwb(const vector<T>& v, const T& x) { return lower_bound(begin(v), end(v), x) - begin(v); }
ll op(ll l, ll r) { return min(l, r); }
ll e() { return IINF; }
ll mapping(ll l, ll r) { return l + r; }
ll composition(ll l, ll r) { return l + r; }
ll id() { return 0; }
bool f(ll x) { return x > 0; }
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int N, Q;
cin >> N >> Q;
vector<int> a(N - 1), b(N - 1);
vector<ll> c(N - 1);
for (int i = 0; i < N - 1; i++) cin >> a[i] >> b[i] >> c[i], a[i]--, b[i]--;
HeavyLightDecomposition HLD(N);
for (int i = 0; i < N - 1; i++) HLD.add_edge(a[i], b[i]);
HLD.build();
vector<ll> init(N, e());
vector<int> ch(N), par(N, -1);
vector<vector<int>> G(N);
for (int i = 0; i < N - 1; i++) {
G[a[i]].emplace_back(i);
G[b[i]].emplace_back(i);
if (HLD.dep[a[i]] < HLD.dep[b[i]]) swap(a[i], b[i]);
par[a[i]] = i;
init[HLD.idx(a[i])] = c[i];
ch[HLD.idx(a[i])] = a[i];
}
atcoder::lazy_segtree<ll, op, e, ll, mapping, composition, id> seg(init);
int ans = N;
vector<ll> sum(N, 0);
vector<bool> alive(N - 1, true);
auto kill = [&](int idx) {
alive[idx] = false;
seg.set(HLD.idx(a[idx]), IINF);
ans--;
auto q = [&](int l, int r) { seg.apply(l, r, sum[a[idx]]); };
HLD.query_path(0, a[idx], q);
};
auto dfs = [&](auto self, int v) -> void {
assert(v != 0);
for (int& idx : G[v]) {
int u = a[idx] ^ b[idx] ^ v;
if (not alive[idx]) continue;
kill(idx);
self(self, u);
}
};
auto query = [&](int v, int x) {
sum[v] += x;
auto q = [&](int l, int r) { seg.apply(l, r, -x); };
HLD.query_path(0, v, q);
int e = seg.min_left<f>(N) - 1;
if (e == -1) return;
int idx = par[ch[e]];
kill(idx);
dfs(dfs, a[idx]);
};
for (; Q--;) {
int type;
cin >> type;
if (type == 1) {
int v, x;
cin >> v >> x;
query(--v, x);
} else {
cout << ans << '\n';
}
}
return 0;
}
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0