結果
| 問題 | No.2439 Fragile Apple Tree |
| ユーザー |
👑  rin204
|
| 提出日時 | 2023-09-18 16:42:32 |
| 言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 2,522 ms / 10,000 ms |
| コード長 | 20,880 bytes |
| コンパイル時間 | 5,638 ms |
| コンパイル使用メモリ | 292,524 KB |
| 実行使用メモリ | 107,212 KB |
| 最終ジャッジ日時 | 2023-09-18 16:43:16 |
| 合計ジャッジ時間 | 42,648 ms |
|
ジャッジサーバーID （参考情報） |
judge14 / judge15 |
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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 | 935 ms
75,724 KB |
| testcase_01 | AC | 1,973 ms
103,640 KB |
| testcase_02 | AC | 1,830 ms
103,632 KB |
| testcase_03 | AC | 525 ms
100,380 KB |
| testcase_04 | AC | 1,262 ms
100,480 KB |
| testcase_05 | AC | 1,664 ms
103,552 KB |
| testcase_06 | AC | 1,794 ms
103,724 KB |
| testcase_07 | AC | 2,495 ms
104,440 KB |
| testcase_08 | AC | 2,522 ms
104,376 KB |
| testcase_09 | AC | 2 ms
4,380 KB |
| testcase_10 | AC | 2 ms
4,384 KB |
| testcase_11 | AC | 2 ms
4,380 KB |
| testcase_12 | AC | 1 ms
4,380 KB |
| testcase_13 | AC | 1 ms
4,380 KB |
| testcase_14 | AC | 2,405 ms
101,216 KB |
| testcase_15 | AC | 1,214 ms
103,652 KB |
| testcase_16 | AC | 1,803 ms
103,592 KB |
| testcase_17 | AC | 1,792 ms
103,560 KB |
| testcase_18 | AC | 657 ms
75,032 KB |
| testcase_19 | AC | 588 ms
39,124 KB |
| testcase_20 | AC | 206 ms
33,832 KB |
| testcase_21 | AC | 73 ms
4,672 KB |
| testcase_22 | AC | 994 ms
55,316 KB |
| testcase_23 | AC | 418 ms
28,068 KB |
| testcase_24 | AC | 507 ms
36,720 KB |
| testcase_25 | AC | 408 ms
64,560 KB |
| testcase_26 | AC | 515 ms
71,328 KB |
| testcase_27 | AC | 371 ms
52,520 KB |
| testcase_28 | AC | 2 ms
4,384 KB |
| testcase_29 | AC | 2 ms
4,384 KB |
| testcase_30 | AC | 1 ms
4,380 KB |
| testcase_31 | AC | 1,014 ms
107,212 KB |
| testcase_32 | AC | 1,025 ms
107,128 KB |
ソースコード
// start A.cpp
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
namespace templates {
// type
using ll = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
// for loop
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
// declare and input
// clang-format off
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
// clang-format on
// const value
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
const double PI = acos(-1);
// other macro
#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)
// function
vector<char> stoc(string &S) {
int n = S.size();
vector<char> ret(n);
for (int i = 0; i < n; i++) ret[i] = S[i];
return ret;
}
string ctos(vector<char> &S) {
int n = S.size();
string ret = "";
for (int i = 0; i < n; i++) ret += S[i];
return ret;
}
template <class T>
auto min(const T &a) {
return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
auto b = clamp(a, l, r);
return (a != b ? a = b, 1 : 0);
}
template <typename T>
T sum(vector<T> &A) {
T tot = 0;
for (auto a : A) tot += a;
return tot;
}
template <typename T>
vector<T> compression(vector<T> X) {
sort(all(X));
X.erase(unique(all(X)), X.end());
return X;
}
// input and output
namespace io {
// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << ' ';
}
return os;
}
// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
for (auto &a : A) is >> a;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
is >> A.first >> A.second;
return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
os << A.first << ' ' << A.second;
return os;
}
// vector<pair<S, T>>
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
for (size_t i = 0; i < A.size(); i++) {
os << A[i];
if (i != A.size() - 1) os << endl;
}
return os;
}
// set<T>
template <typename T>
ostream &operator<<(ostream &os, set<T> &A) {
for (auto itr = A.begin(); itr != A.end(); itr++) {
os << *itr;
if (next(itr) != A.end()) os << ' ';
}
return os;
}
// unordered_set<T>
template <typename T>
ostream &operator<<(ostream &os, unordered_set<T> &A) {
for (auto itr = A.begin(); itr != A.end(); itr++) {
os << *itr;
if (next(itr) != A.end()) os << ' ';
}
return os;
}
// multiset<T>
template <typename T>
ostream &operator<<(ostream &os, multiset<T> &A) {
for (auto itr = A.begin(); itr != A.end(); itr++) {
os << *itr;
if (next(itr) != A.end()) os << ' ';
}
return os;
}
// unordered_multiset<T>
template <typename T>
ostream &operator<<(ostream &os, unordered_multiset<T> &A) {
for (auto itr = A.begin(); itr != A.end(); itr++) {
os << *itr;
if (next(itr) != A.end()) os << endl;
}
return os;
}
// map<S, T>
template <typename S, typename T>
ostream &operator<<(ostream &os, map<S, T> &A) {
for (auto itr = A.begin(); itr != A.end(); itr++) {
os << *itr;
if (next(itr) != A.end()) os << endl;
}
return os;
}
// unordered_map<S, T>
template <typename S, typename T>
ostream &operator<<(ostream &os, unordered_map<S, T> &A) {
for (auto itr = A.begin(); itr != A.end(); itr++) {
os << *itr;
if (next(itr) != A.end()) os << endl;
}
return os;
}
// tuple
template <typename T, size_t N>
struct TuplePrint {
static ostream &print(ostream &os, const T &t) {
TuplePrint<T, N - 1>::print(os, t);
os << ' ' << get<N - 1>(t);
return os;
}
};
template <typename T>
struct TuplePrint<T, 1> {
static ostream &print(ostream &os, const T &t) {
os << get<0>(t);
return os;
}
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
return os;
}
// queue<T>
template <typename T>
ostream &operator<<(ostream &os, queue<T> &A) {
auto B = A;
while (!B.empty()) {
os << B.front();
B.pop();
if (!B.empty()) os << ' ';
}
return os;
}
// deque<T>
template <typename T>
ostream &operator<<(ostream &os, deque<T> &A) {
auto B = A;
while (!B.empty()) {
os << B.front();
B.pop_front();
if (!B.empty()) os << ' ';
}
return os;
}
// stack<T>
template <typename T>
ostream &operator<<(ostream &os, stack<T> &A) {
auto B = A;
stack<T> C;
while (!B.empty()) {
C.push(B.top());
B.pop();
}
while (!C.empty()) {
os << C.top();
C.pop();
if (!C.empty()) os << ' ';
}
return os;
}
// priority_queue<T>
template <typename T>
ostream &operator<<(ostream &os, priority_queue<T> &A) {
auto B = A;
while (!B.empty()) {
os << B.top();
B.pop();
if (!B.empty()) os << endl;
}
return os;
}
// bitset<N>
template <size_t N>
ostream &operator<<(ostream &os, bitset<N> &A) {
for (size_t i = 0; i < N; i++) {
os << A[i];
}
return os;
}
// io functions
void FLUSH() {
cout << flush;
}
void print() {
cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
cout << head;
if (sizeof...(Tail)) cout << spa;
print(forward<Tail>(tail)...);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
int n = A.size();
for (int i = 0; i < n; i++) {
cout << A[i];
if (i != n - 1) cout << sep;
}
cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
cout << A << end;
}
template <typename T>
void prispa(T A) {
priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
if (f)
print(A);
else
print(B);
return f;
}
template <class... T>
void inp(T &...a) {
(cin >> ... >> a);
}
} // namespace io
using namespace io;
// read graph
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<int>> edges(n, vector<int>());
for (int i = 0; i < m; i++) {
INT(u, v);
u -= indexed;
v -= indexed;
edges[u].push_back(v);
if (!direct) edges[v].push_back(u);
}
return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
return read_edges(n, n - 1, false, indexed);
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
for (int i = 0; i < m; i++) {
INT(u, v);
T w;
inp(w);
u -= indexed;
v -= indexed;
edges[u].push_back({v, w});
if (!direct) edges[v].push_back({u, w});
}
return edges;
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
return read_wedges<T>(n, n - 1, false, indexed);
}
// yes / no
namespace yesno {
// yes
inline bool yes(bool f = true) {
cout << (f ? "yes" : "no") << endl;
return f;
}
inline bool Yes(bool f = true) {
cout << (f ? "Yes" : "No") << endl;
return f;
}
inline bool YES(bool f = true) {
cout << (f ? "YES" : "NO") << endl;
return f;
}
// no
inline bool no(bool f = true) {
cout << (!f ? "yes" : "no") << endl;
return f;
}
inline bool No(bool f = true) {
cout << (!f ? "Yes" : "No") << endl;
return f;
}
inline bool NO(bool f = true) {
cout << (!f ? "YES" : "NO") << endl;
return f;
}
// possible
inline bool possible(bool f = true) {
cout << (f ? "possible" : "impossible") << endl;
return f;
}
inline bool Possible(bool f = true) {
cout << (f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool POSSIBLE(bool f = true) {
cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// impossible
inline bool impossible(bool f = true) {
cout << (!f ? "possible" : "impossible") << endl;
return f;
}
inline bool Impossible(bool f = true) {
cout << (!f ? "Possible" : "Impossible") << endl;
return f;
}
inline bool IMPOSSIBLE(bool f = true) {
cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
return f;
}
// Alice Bob
inline bool Alice(bool f = true) {
cout << (f ? "Alice" : "Bob") << endl;
return f;
}
inline bool Bob(bool f = true) {
cout << (f ? "Bob" : "Alice") << endl;
return f;
}
// Takahashi Aoki
inline bool Takahashi(bool f = true) {
cout << (f ? "Takahashi" : "Aoki") << endl;
return f;
}
inline bool Aoki(bool f = true) {
cout << (f ? "Aoki" : "Takahashi") << endl;
return f;
}
} // namespace yesno
using namespace yesno;
} // namespace templates
using namespace templates;
// start data_structure/lazySegTree.hpp
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:
explicit lazy_segtree(const vector<S> &v) : _n(int(v.size())) {
size = 1;
log = 0;
while (size < _n) {
log++;
size <<= 1;
}
d = vector<S>(2 * size, e());
lz = 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);
}
explicit lazy_segtree(int n) : lazy_segtree(vector<S>(n, e())) {}
S prod(int l, int r) {
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 l, int r, F f) {
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);
}
}
private:
int _n, size, log;
vector<S> d;
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();
}
};
// end data_structure/lazySegTree.hpp
// restart A.cpp
// start tree/HLD.hpp
struct HLD {
int n, path;
vector<vector<int>> edges;
vector<int> siz;
vector<int> par;
vector<int> depth;
vector<int> path_ind;
vector<int> path_root;
vector<int> heavy_child;
vector<bool> isheavy;
vector<int> L;
vector<int> R;
HLD(int n) : n(n) {
edges.resize(n);
siz.assign(n, -1);
par.assign(n, -1);
depth.assign(n, -1);
path_ind.assign(n, -1);
heavy_child.assign(n, -1);
isheavy.assign(n, false);
L.assign(n, -1);
R.assign(n, -1);
}
void read_edges(int indexed = 1) {
int u, v;
for (int i = 0; i < n - 1; i++) {
cin >> u >> v;
u -= indexed;
v -= indexed;
edges[u].push_back(v);
edges[v].push_back(u);
}
}
void add_edge(int u, int v) {
edges[u].push_back(v);
edges[v].push_back(u);
}
void build(int root = 0) {
depth[root] = 0;
stack<int> st;
vector<int> route;
st.push(root);
route.push_back(root);
while (!st.empty()) {
int pos = st.top();
st.pop();
for (auto npos : edges[pos]) {
if (depth[npos] == -1) {
depth[npos] = depth[pos] + 1;
par[npos] = pos;
st.push(npos);
route.push_back(npos);
}
}
}
reverse(route.begin(), route.end());
for (auto pos : route) {
siz[pos] = 1;
int ma = -1;
for (auto npos : edges[pos]) {
if (depth[npos] > depth[pos]) siz[pos] += siz[npos];
if (siz[npos] > ma) {
ma = siz[npos];
heavy_child[pos] = npos;
}
}
if (heavy_child[pos] != -1) isheavy[heavy_child[pos]] = true;
}
isheavy[root] = true;
path = 0;
st.push(~root);
st.push(root);
path_root.push_back(root);
int cc = 0;
while (!st.empty()) {
int pos = st.top();
st.pop();
if (pos >= 0) {
L[pos] = cc++;
if (!isheavy[pos]) {
path++;
path_root.push_back(pos);
}
path_ind[pos] = path;
for (auto npos : edges[pos]) {
if (npos == par[pos] || npos == heavy_child[pos]) continue;
st.push(~npos);
st.push(npos);
}
if (heavy_child[pos] != -1) {
int npos = heavy_child[pos];
st.push(~npos);
st.push(npos);
}
} else {
pos = ~pos;
R[pos] = cc;
}
}
}
vector<pair<int, int>> get_path(int u, int v) {
vector<int> ll;
vector<int> rr;
ll.push_back(u);
rr.push_back(v);
while (path_ind[u] != path_ind[v]) {
if (depth[path_root[path_ind[u]]] >= depth[path_root[path_ind[v]]]) {
u = path_root[path_ind[u]];
ll.push_back(u);
u = par[u];
ll.push_back(u);
} else {
v = path_root[path_ind[v]];
rr.push_back(v);
v = par[v];
rr.push_back(v);
}
}
reverse(rr.begin(), rr.end());
ll.insert(ll.end(), rr.begin(), rr.end());
int n = ll.size();
vector<pair<int, int>> res(n / 2);
for (int i = 0; i < n; i += 2) {
res[i / 2] = {ll[i], ll[i + 1]};
}
return res;
}
int lca(int u, int v) {
while (path_ind[u] != path_ind[v]) {
if (depth[path_root[path_ind[u]]] >= depth[path_root[path_ind[v]]])
u = par[path_root[path_ind[u]]];
else
v = par[path_root[path_ind[v]]];
}
return (depth[u] <= depth[v]) ? u : v;
}
int dist(int u, int v) {
int p = lca(u, v);
return depth[u] + depth[v] - 2 * depth[p];
}
template <typename T>
vector<T> reorder(vector<T> &A, bool rev = false) {
assert(n == A.size());
vector<T> ret(n);
for (int i = 0; i < n; i++) {
ret[L[i]] = A[i];
}
if (rev) reverse(ret.begin(), ret.end());
return ret;
}
};
// end tree/HLD.hpp
// restart A.cpp
const ll inf = 1LL << 60;
struct S {
ll x;
int idx;
};
S op(S l, S r) {
return l.x < r.x ? l : r;
}
S e() {
return {inf, -1};
}
using F = ll;
S mapping(F f, S x) {
return S{min(inf, f + x.x), x.idx};
}
F composition(F f, F g) {
return min(f + g, inf);
}
F id() {
return 0LL;
}
struct S2 {
ll x;
ll cnt;
};
S2 op2(S2 l, S2 r) {
if (l.x == r.x)
return {l.x, l.cnt + r.cnt};
else
return l.x < r.x ? l : r;
}
S2 e2() {
return S2{inf, 0};
}
using F2 = ll;
S2 mapping2(F2 f, S2 x) {
return S2{min(inf, x.x + f), x.cnt};
}
F2 composition2(F2 f, F2 g) {
return min(f + g, inf);
}
F2 id2() {
return 0LL;
}
void solve() {
INT(n, Q);
using P = pair<int, ll>;
HLD hld(n);
vvec(P, edges, n);
fori(i, n - 1) {
INT(a, b);
LL(c);
a--;
b--;
edges[a].emplace_back(b, c);
edges[b].emplace_back(a, c);
hld.add_edge(a, b);
}
hld.build();
vec(S, C, n);
vec(int, dist, n, -1);
C[0] = e();
dist[0] = 0;
stack<int> st;
st.push(0);
while (!st.empty()) {
int pos = st.top();
st.pop();
for (auto [npos, w] : edges[pos]) {
if (dist[npos] == -1) {
C[npos] = {w, npos};
dist[npos] = dist[pos] + 1;
st.push(npos);
}
}
}
C = hld.reorder(C);
lazy_segtree<S, op, e, F, mapping, composition, id> seg(C);
vec(S2, ini, n, {0, 1});
lazy_segtree<S2, op2, e2, F2, mapping2, composition2, id2> seg2(ini);
fori(Q) {
LL(t);
if (t == 1) {
LL(v, x);
v--;
for (auto [u, v] : hld.get_path(0, v)) {
int uu = hld.L[u];
int vv = hld.L[v];
if (uu > vv) swap(uu, vv);
seg.apply(uu, vv + 1, -x);
}
ll mi = inf;
int ind = 0;
while (1) {
auto res = seg.prod(hld.L[ind] + 1, hld.R[ind]);
if (res.x > 0) break;
ind = res.idx;
}
if (ind != 0) {
ll add = C[hld.L[ind]].x - seg.prod(hld.L[ind], hld.L[ind] + 1).x;
seg.apply(hld.L[ind], hld.R[ind], inf);
int p = hld.par[ind];
for (auto [u, v] : hld.get_path(0, p)) {
int uu = hld.L[u];
int vv = hld.L[v];
if (uu > vv) swap(uu, vv);
seg.apply(uu, vv + 1, add);
}
seg2.apply(hld.L[ind], hld.R[ind], 1);
}
} else {
auto res = seg2.all_prod();
print(res.x == 0 ? res.cnt : 0);
}
}
}
int main() {
cin.tie(0)->sync_with_stdio(0);
// cout << fixed << setprecision(12);
int t;
t = 1;
// cin >> t;
while (t--) solve();
return 0;
}
// end A.cpp