結果
| 問題 | No.1216 灯籠流し/Lanterns |
| ユーザー |
 maspy
|
| 提出日時 | 2022-10-15 09:51:57 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 291 ms / 4,500 ms |
| コード長 | 35,590 bytes |
| コンパイル時間 | 6,799 ms |
| コンパイル使用メモリ | 296,852 KB |
| 実行使用メモリ | 39,624 KB |
| 最終ジャッジ日時 | 2023-09-09 02:19:38 |
| 合計ジャッジ時間 | 14,866 ms |
|
ジャッジサーバーID （参考情報） |
judge15 / judge14 |
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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 | 1 ms
4,380 KB |
| testcase_01 | AC | 2 ms
4,380 KB |
| testcase_02 | AC | 1 ms
4,380 KB |
| testcase_03 | AC | 2 ms
4,376 KB |
| testcase_04 | AC | 17 ms
9,768 KB |
| testcase_05 | AC | 168 ms
26,280 KB |
| testcase_06 | AC | 16 ms
5,836 KB |
| testcase_07 | AC | 160 ms
24,020 KB |
| testcase_08 | AC | 134 ms
18,944 KB |
| testcase_09 | AC | 68 ms
12,812 KB |
| testcase_10 | AC | 74 ms
12,800 KB |
| testcase_11 | AC | 37 ms
10,688 KB |
| testcase_12 | AC | 14 ms
8,456 KB |
| testcase_13 | AC | 44 ms
13,792 KB |
| testcase_14 | AC | 27 ms
11,764 KB |
| testcase_15 | AC | 45 ms
13,636 KB |
| testcase_16 | AC | 43 ms
17,560 KB |
| testcase_17 | AC | 159 ms
18,784 KB |
| testcase_18 | AC | 51 ms
13,656 KB |
| testcase_19 | AC | 248 ms
30,908 KB |
| testcase_20 | AC | 112 ms
22,100 KB |
| testcase_21 | AC | 60 ms
16,140 KB |
| testcase_22 | AC | 186 ms
22,584 KB |
| testcase_23 | AC | 24 ms
15,160 KB |
| testcase_24 | AC | 21 ms
6,584 KB |
| testcase_25 | AC | 12 ms
5,268 KB |
| testcase_26 | AC | 116 ms
16,196 KB |
| testcase_27 | AC | 39 ms
10,984 KB |
| testcase_28 | AC | 27 ms
10,820 KB |
| testcase_29 | AC | 56 ms
14,796 KB |
| testcase_30 | AC | 89 ms
17,368 KB |
| testcase_31 | AC | 157 ms
20,664 KB |
| testcase_32 | AC | 82 ms
17,420 KB |
| testcase_33 | AC | 23 ms
9,008 KB |
| testcase_34 | AC | 176 ms
26,808 KB |
| testcase_35 | AC | 231 ms
31,464 KB |
| testcase_36 | AC | 60 ms
20,152 KB |
| testcase_37 | AC | 178 ms
22,608 KB |
| testcase_38 | AC | 263 ms
35,796 KB |
| testcase_39 | AC | 204 ms
26,764 KB |
| testcase_40 | AC | 198 ms
29,888 KB |
| testcase_41 | AC | 205 ms
29,868 KB |
| testcase_42 | AC | 194 ms
30,064 KB |
| testcase_43 | AC | 194 ms
29,920 KB |
| testcase_44 | AC | 197 ms
29,932 KB |
| testcase_45 | AC | 283 ms
38,704 KB |
| testcase_46 | AC | 286 ms
38,532 KB |
| testcase_47 | AC | 284 ms
39,624 KB |
| testcase_48 | AC | 284 ms
38,664 KB |
| testcase_49 | AC | 291 ms
38,628 KB |
ソースコード
#line 1 "/home/maspy/compro/library/my_template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pi = pair<ll, ll>;
using vi = vector<ll>;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define vv(type, name, h, ...) \
vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) \
vector<vector<vector<type>>> name( \
h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name( \
a, vector<vector<vector<type>>>( \
b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define FOR4_R(i, a, b, c) for (ll i = (b)-1; i >= ll(a); i -= (c))
#define overload4(a, b, c, d, e, ...) e
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) \
overload4(__VA_ARGS__, FOR4_R, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)
#define FOR_subset(t, s) for (ll t = s; t >= 0; t = (t == 0 ? -1 : (t - 1) & s))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second
#define stoi stoll
template <typename T, typename U>
T SUM(const vector<U> &A) {
T sum = 0;
for (auto &&a: A) sum += a;
return sum;
}
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
template <typename T>
T pick(deque<T> &que) {
T a = que.front();
que.pop_front();
return a;
}
template <typename T>
T pick(pq<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T pick(pqg<T> &que) {
assert(que.size());
T a = que.top();
que.pop();
return a;
}
template <typename T>
T pick(vc<T> &que) {
assert(que.size());
T a = que.back();
que.pop_back();
return a;
}
template <typename T, typename U>
T ceil(T x, U y) {
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <typename T, typename U>
T floor(T x, U y) {
return (x > 0 ? x / y : (x - y + 1) / y);
}
template <typename T, typename U>
pair<T, T> divmod(T x, U y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename F>
ll binary_search(F check, ll ok, ll ng) {
assert(check(ok));
while (abs(ok - ng) > 1) {
auto x = (ng + ok) / 2;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));
}
return ok;
}
template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
FOR(iter) {
double x = (ok + ng) / 2;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));
}
return (ok + ng) / 2;
}
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);
}
vc<int> s_to_vi(const string &S, char first_char) {
vc<int> A(S.size());
FOR(i, S.size()) { A[i] = S[i] - first_char; }
return A;
}
template <typename T, typename U>
vector<T> cumsum(vector<U> &A, int off = 1) {
int N = A.size();
vector<T> B(N + 1);
FOR(i, N) { B[i + 1] = B[i] + A[i]; }
if (off == 0) B.erase(B.begin());
return B;
}
template <typename CNT, typename T>
vc<CNT> bincount(const vc<T> &A, int size) {
vc<CNT> C(size);
for (auto &&x: A) { ++C[x]; }
return C;
}
// stable
template <typename T>
vector<int> argsort(const vector<T> &A) {
vector<int> ids(A.size());
iota(all(ids), 0);
sort(all(ids),
[&](int i, int j) { return A[i] < A[j] || (A[i] == A[j] && i < j); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
int n = len(I);
vc<T> B(n);
FOR(i, n) B[i] = A[I[i]];
return B;
}
#line 1 "/home/maspy/compro/library/other/io.hpp"
// based on yosupo's fastio
#include <unistd.h>
namespace detail {
template <typename T, decltype(&T::is_modint) = &T::is_modint>
std::true_type check_value(int);
template <typename T>
std::false_type check_value(long);
} // namespace detail
template <typename T>
struct is_modint : decltype(detail::check_value<T>(0)) {};
template <typename T>
using is_modint_t = enable_if_t<is_modint<T>::value>;
template <typename T>
using is_not_modint_t = enable_if_t<!is_modint<T>::value>;
struct Scanner {
FILE *fp;
char line[(1 << 15) + 1];
size_t st = 0, ed = 0;
void reread() {
memmove(line, line + st, ed - st);
ed -= st;
st = 0;
ed += fread(line + ed, 1, (1 << 15) - ed, fp);
line[ed] = '\0';
}
bool succ() {
while (true) {
if (st == ed) {
reread();
if (st == ed) return false;
}
while (st != ed && isspace(line[st])) st++;
if (st != ed) break;
}
if (ed - st <= 50) {
bool sep = false;
for (size_t i = st; i < ed; i++) {
if (isspace(line[i])) {
sep = true;
break;
}
}
if (!sep) reread();
}
return true;
}
template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
while (true) {
size_t sz = 0;
while (st + sz < ed && !isspace(line[st + sz])) sz++;
ref.append(line + st, sz);
st += sz;
if (!sz || st != ed) break;
reread();
}
return true;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
bool neg = false;
if (line[st] == '-') {
neg = true;
st++;
}
ref = T(0);
while (isdigit(line[st])) { ref = 10 * ref + (line[st++] & 0xf); }
if (neg) ref = -ref;
return true;
}
template <class T, is_modint_t<T> * = nullptr>
bool read_single(T &ref) {
long long val = 0;
bool f = read_single(val);
ref = T(val);
return f;
}
bool read_single(double &ref) {
string s;
if (!read_single(s)) return false;
ref = std::stod(s);
return true;
}
bool read_single(char &ref) {
string s;
if (!read_single(s) || s.size() != 1) return false;
ref = s[0];
return true;
}
template <class T>
bool read_single(vector<T> &ref) {
for (auto &d: ref) {
if (!read_single(d)) return false;
}
return true;
}
template <class T, class U>
bool read_single(pair<T, U> &p) {
return (read_single(p.first) && read_single(p.second));
}
template <class A, class B, class C>
bool read_single(tuple<A, B, C> &p) {
return (read_single(get<0>(p)) && read_single(get<1>(p))
&& read_single(get<2>(p)));
}
template <class A, class B, class C, class D>
bool read_single(tuple<A, B, C, D> &p) {
return (read_single(get<0>(p)) && read_single(get<1>(p))
&& read_single(get<2>(p)) && read_single(get<3>(p)));
}
void read() {}
template <class H, class... T>
void read(H &h, T &... t) {
bool f = read_single(h);
assert(f);
read(t...);
}
Scanner(FILE *fp) : fp(fp) {}
};
struct Printer {
Printer(FILE *_fp) : fp(_fp) {}
~Printer() { flush(); }
static constexpr size_t SIZE = 1 << 15;
FILE *fp;
char line[SIZE], small[50];
size_t pos = 0;
void flush() {
fwrite(line, 1, pos, fp);
pos = 0;
}
void write(const char &val) {
if (pos == SIZE) flush();
line[pos++] = val;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
void write(T val) {
if (pos > (1 << 15) - 50) flush();
if (val == 0) {
write('0');
return;
}
if (val < 0) {
write('-');
val = -val; // todo min
}
size_t len = 0;
while (val) {
small[len++] = char(0x30 | (val % 10));
val /= 10;
}
for (size_t i = 0; i < len; i++) { line[pos + i] = small[len - 1 - i]; }
pos += len;
}
void write(const string &s) {
for (char c: s) write(c);
}
void write(const char *s) {
size_t len = strlen(s);
for (size_t i = 0; i < len; i++) write(s[i]);
}
void write(const double &x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
void write(const long double &x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
template <class T, is_modint_t<T> * = nullptr>
void write(T &ref) {
write(ref.val);
}
template <class T>
void write(const vector<T> &val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
template <class T, class U>
void write(const pair<T, U> &val) {
write(val.first);
write(' ');
write(val.second);
}
template <class A, class B, class C>
void write(const tuple<A, B, C> &val) {
auto &[a, b, c] = val;
write(a), write(' '), write(b), write(' '), write(c);
}
template <class A, class B, class C, class D>
void write(const tuple<A, B, C, D> &val) {
auto &[a, b, c, d] = val;
write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d);
}
template <class A, class B, class C, class D, class E>
void write(const tuple<A, B, C, D, E> &val) {
auto &[a, b, c, d, e] = val;
write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e);
}
template <class A, class B, class C, class D, class E, class F>
void write(const tuple<A, B, C, D, E, F> &val) {
auto &[a, b, c, d, e, f] = val;
write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e), write(' '), write(f);
}
template <class T, size_t S>
void write(const array<T, S> &val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
void write(i128 val) {
string s;
bool negative = 0;
if(val < 0){
negative = 1;
val = -val;
}
while (val) {
s += '0' + int(val % 10);
val /= 10;
}
if(negative) s += "-";
reverse(all(s));
if (len(s) == 0) s = "0";
write(s);
}
};
Scanner scanner = Scanner(stdin);
Printer printer = Printer(stdout);
void flush() { printer.flush(); }
void print() { printer.write('\n'); }
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
printer.write(head);
if (sizeof...(Tail)) printer.write(' ');
print(forward<Tail>(tail)...);
}
void read() {}
template <class Head, class... Tail>
void read(Head &head, Tail &... tail) {
scanner.read(head);
read(tail...);
}
#define INT(...) \
int __VA_ARGS__; \
read(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
read(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
read(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
read(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
read(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
read(name)
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
read(name)
void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 2 "/home/maspy/compro/library/graph/base.hpp"
template <typename T>
struct Edge {
int frm, to;
T cost;
int id;
};
template <typename T = int, bool directed = false>
struct Graph {
int N, M;
using cost_type = T;
using edge_type = Edge<T>;
vector<edge_type> edges;
vector<int> indptr;
vector<edge_type> csr_edges;
vc<int> vc_deg, vc_indeg, vc_outdeg;
bool prepared;
class OutgoingEdges {
public:
OutgoingEdges(const Graph* G, int l, int r) : G(G), l(l), r(r) {}
const edge_type* begin() const {
if (l == r) { return 0; }
return &G->csr_edges[l];
}
const edge_type* end() const {
if (l == r) { return 0; }
return &G->csr_edges[r];
}
private:
const Graph* G;
int l, r;
};
bool is_prepared() { return prepared; }
constexpr bool is_directed() { return directed; }
Graph() : N(0), M(0), prepared(0) {}
Graph(int N) : N(N), M(0), prepared(0) {}
void resize(int n) { N = n; }
void add(int frm, int to, T cost = 1, int i = -1) {
assert(!prepared);
assert(0 <= frm && 0 <= to && to < N);
if (i == -1) i = M;
auto e = edge_type({frm, to, cost, i});
edges.eb(e);
++M;
}
// wt, off
void read_tree(bool wt = false, int off = 1) { read_graph(N - 1, wt, off); }
void read_graph(int M, bool wt = false, int off = 1) {
for (int m = 0; m < M; ++m) {
INT(a, b);
a -= off, b -= off;
if (!wt) {
add(a, b);
} else {
T c;
read(c);
add(a, b, c);
}
}
build();
}
void read_parent(int off = 1) {
for (int v = 1; v < N; ++v) {
INT(p);
p -= off;
add(p, v);
}
build();
}
void build() {
assert(!prepared);
prepared = true;
indptr.assign(N + 1, 0);
for (auto&& e: edges) {
indptr[e.frm + 1]++;
if (!directed) indptr[e.to + 1]++;
}
for (int v = 0; v < N; ++v) { indptr[v + 1] += indptr[v]; }
auto counter = indptr;
csr_edges.resize(indptr.back() + 1);
for (auto&& e: edges) {
csr_edges[counter[e.frm]++] = e;
if (!directed)
csr_edges[counter[e.to]++] = edge_type({e.to, e.frm, e.cost, e.id});
}
}
OutgoingEdges operator[](int v) const {
assert(prepared);
return {this, indptr[v], indptr[v + 1]};
}
vc<int> deg_array() {
if (vc_deg.empty()) calc_deg();
return vc_deg;
}
pair<vc<int>, vc<int>> deg_array_inout() {
if (vc_indeg.empty()) calc_deg_inout();
return {vc_indeg, vc_outdeg};
}
int deg(int v) {
if (vc_deg.empty()) calc_deg();
return vc_deg[v];
}
int in_deg(int v) {
if (vc_indeg.empty()) calc_deg_inout();
return vc_indeg[v];
}
int out_deg(int v) {
if (vc_outdeg.empty()) calc_deg_inout();
return vc_outdeg[v];
}
void debug() {
print("Graph");
if (!prepared) {
print("frm to cost id");
for (auto&& e: edges) print(e.frm, e.to, e.cost, e.id);
} else {
print("indptr", indptr);
print("frm to cost id");
FOR(v, N) for (auto&& e: (*this)[v]) print(e.frm, e.to, e.cost, e.id);
}
}
private:
void calc_deg() {
assert(vc_deg.empty());
vc_deg.resize(N);
for (auto&& e: edges) vc_deg[e.frm]++, vc_deg[e.to]++;
}
void calc_deg_inout() {
assert(vc_indeg.empty());
vc_indeg.resize(N);
vc_outdeg.resize(N);
for (auto&& e: edges) { vc_indeg[e.to]++, vc_outdeg[e.frm]++; }
}
};
#line 3 "/home/maspy/compro/library/graph/tree.hpp"
// HLD euler tour をとっていろいろ。
// 木以外、非連結でも dfs 順序や親がとれる。
template <typename Graph>
struct TREE {
Graph &G;
using Graph_type = Graph;
using WT = typename Graph::cost_type;
int N;
bool hld;
vector<int> LID, RID, head, V, parent, root;
vc<int> depth;
vc<WT> depth_weighted;
vector<bool> in_tree;
TREE(Graph &G, int r = -1, bool hld = 1)
: G(G),
N(G.N),
hld(hld),
LID(G.N),
RID(G.N),
head(G.N, r),
V(G.N),
parent(G.N, -1),
root(G.N, -1),
depth(G.N, -1),
depth_weighted(G.N, 0),
in_tree(G.M, 0) {
assert(G.is_prepared());
int t1 = 0;
if (r != -1) {
dfs_sz(r, -1);
dfs_hld(r, t1);
} else {
for (int r = 0; r < N; ++r) {
if (parent[r] == -1) {
head[r] = r;
dfs_sz(r, -1);
dfs_hld(r, t1);
}
}
}
for (auto &&v: V) root[v] = (parent[v] == -1 ? v : root[parent[v]]);
}
void dfs_sz(int v, int p) {
auto &sz = RID;
parent[v] = p;
depth[v] = (p == -1 ? 0 : depth[p] + 1);
sz[v] = 1;
int l = G.indptr[v], r = G.indptr[v + 1];
auto &csr = G.csr_edges;
// 使う辺があれば先頭にする
for (int i = r - 2; i >= l; --i) {
if (depth[csr[i + 1].to] == -1) swap(csr[i], csr[i + 1]);
}
int hld_sz = 0;
for (int i = l; i < r; ++i) {
auto e = csr[i];
if (depth[e.to] != -1) continue;
in_tree[e.id] = 1;
depth_weighted[e.to] = depth_weighted[v] + e.cost;
dfs_sz(e.to, v);
sz[v] += sz[e.to];
if (hld && chmax(hld_sz, sz[e.to]) && l < i) { swap(csr[l], csr[i]); }
}
}
void dfs_hld(int v, int ×) {
LID[v] = times++;
RID[v] += LID[v];
V[LID[v]] = v;
bool heavy = true;
for (auto &&e: G[v]) {
if (!in_tree[e.id] || depth[e.to] <= depth[v]) continue;
head[e.to] = (heavy ? head[v] : e.to);
heavy = false;
dfs_hld(e.to, times);
}
}
vc<int> heavy_path_at(int v) {
vc<int> P = {v};
while (1) {
int a = P.back();
for (auto &&e: G[a]) {
if (e.to != parent[a] && head[e.to] == v) {
P.eb(e.to);
break;
}
}
if (P.back() == a) break;
}
return P;
}
int e_to_v(int eid) {
auto e = G.edges[eid];
return (parent[e.frm] == e.to ? e.frm : e.to);
}
int ELID(int v) { return 2 * LID[v] - depth[v]; }
int ERID(int v) { return 2 * RID[v] - depth[v] - 1; }
/* k: 0-indexed */
int LA(int v, int k) {
assert(k <= depth[v]);
while (1) {
int u = head[v];
if (LID[v] - k >= LID[u]) return V[LID[v] - k];
k -= LID[v] - LID[u] + 1;
v = parent[u];
}
}
int LCA(int u, int v) {
for (;; v = parent[head[v]]) {
if (LID[u] > LID[v]) swap(u, v);
if (head[u] == head[v]) return u;
}
}
int lca(int u, int v) { return LCA(u, v); }
int la(int u, int v) { return LA(u, v); }
int subtree_size(int v) { return RID[v] - LID[v]; }
int dist(int a, int b) {
int c = LCA(a, b);
return depth[a] + depth[b] - 2 * depth[c];
}
WT dist(int a, int b, bool weighted) {
assert(weighted);
int c = LCA(a, b);
return depth_weighted[a] + depth_weighted[b] - WT(2) * depth_weighted[c];
}
// a is in b
bool in_subtree(int a, int b) { return LID[b] <= LID[a] && LID[a] < RID[b]; }
int jump(int a, int b, ll k = 1) {
if (k == 1) {
if (a == b) return -1;
return (in_subtree(b, a) ? LA(b, depth[b] - depth[a] - 1) : parent[a]);
}
int c = LCA(a, b);
int d_ac = depth[a] - depth[c];
int d_bc = depth[b] - depth[c];
if (k > d_ac + d_bc) return -1;
if (k <= d_ac) return LA(a, k);
return LA(b, d_ac + d_bc - k);
}
vc<int> collect_child(int v) {
vc<int> res;
for (auto &&e: G[v])
if (e.to != parent[v]) res.eb(e.to);
return res;
}
vc<pair<int, int>> get_path_decomposition(int u, int v, bool edge) {
// [始点, 終点] の"閉"区間列。
vc<pair<int, int>> up, down;
while (1) {
if (head[u] == head[v]) break;
if (LID[u] < LID[v]) {
down.eb(LID[head[v]], LID[v]);
v = parent[head[v]];
} else {
up.eb(LID[u], LID[head[u]]);
u = parent[head[u]];
}
}
if (LID[u] < LID[v]) down.eb(LID[u] + edge, LID[v]);
elif (LID[v] + edge <= LID[u]) up.eb(LID[u], LID[v] + edge);
reverse(all(down));
up.insert(up.end(), all(down));
return up;
}
void debug() {
print("V", V);
print("LID", LID);
print("RID", RID);
print("parent", parent);
print("depth", depth);
print("head", head);
print("in_tree(edge)", in_tree);
print("root", root);
}
};
#line 2 "/home/maspy/compro/library/ds/segtree.hpp"
template <class Monoid>
struct SegTree {
using X = typename Monoid::value_type;
using value_type = X;
vector<X> dat;
int n, log, size;
SegTree() : SegTree(0) {}
SegTree(int n) : SegTree(vector<X>(n, Monoid::unit())) {}
SegTree(vector<X> v) : n(v.size()) {
log = 1;
while ((1 << log) < n) ++log;
size = 1 << log;
dat.assign(size << 1, Monoid::unit());
for (int i = 0; i < n; ++i) dat[size + i] = v[i];
for (int i = size - 1; i >= 1; --i) update(i);
}
template <typename F>
SegTree(int n, F f) : n(n) {
log = 1;
while ((1 << log) < n) ++log;
size = 1 << log;
dat.assign(size << 1, Monoid::unit());
for (int i = 0; i < n; ++i) dat[size + i] = f(i);
for (int i = size - 1; i >= 1; --i) update(i);
}
void reset() { fill(all(dat), Monoid::unit()); }
void set_all(const vector<X>& v) {
dat.assign(size << 1, Monoid::unit());
for (int i = 0; i < n; ++i) dat[size + i] = v[i];
for (int i = size - 1; i >= 1; --i) update(i);
}
X operator[](int i) { return dat[size + i]; }
void update(int i) { dat[i] = Monoid::op(dat[2 * i], dat[2 * i + 1]); }
void set(int i, const X& x) {
assert(i < n);
dat[i += size] = x;
while (i >>= 1) update(i);
}
void multiply(int i, const X& x) {
assert(i < n);
i += size;
dat[i] = Monoid::op(dat[i], x);
while (i >>= 1) update(i);
}
X prod(int L, int R) {
assert(L <= R);
assert(R <= n);
X vl = Monoid::unit(), vr = Monoid::unit();
L += size, R += size;
while (L < R) {
if (L & 1) vl = Monoid::op(vl, dat[L++]);
if (R & 1) vr = Monoid::op(dat[--R], vr);
L >>= 1, R >>= 1;
}
return Monoid::op(vl, vr);
}
X prod_all() { return dat[1]; }
template <class F>
int max_right(F& check, int L) {
assert(0 <= L && L <= n && check(Monoid::unit()));
if (L == n) return n;
L += size;
X sm = Monoid::unit();
do {
while (L % 2 == 0) L >>= 1;
if (!check(Monoid::op(sm, dat[L]))) {
while (L < size) {
L = 2 * L;
if (check(Monoid::op(sm, dat[L]))) {
sm = Monoid::op(sm, dat[L]);
L++;
}
}
return L - size;
}
sm = Monoid::op(sm, dat[L]);
L++;
} while ((L & -L) != L);
return n;
}
template <class F>
int min_left(F& check, int R) {
assert(0 <= R && R <= n && check(Monoid::unit()));
if (R == 0) return 0;
R += size;
X sm = Monoid::unit();
do {
--R;
while (R > 1 && (R % 2)) R >>= 1;
if (!check(Monoid::op(dat[R], sm))) {
while (R < size) {
R = 2 * R + 1;
if (check(Monoid::op(dat[R], sm))) {
sm = Monoid::op(dat[R], sm);
R--;
}
}
return R + 1 - size;
}
sm = Monoid::op(dat[R], sm);
} while ((R & -R) != R);
return 0;
}
// モノイドが可換なら、prod_{l<=i<r}A[i^x] が計算可能
// https://codeforces.com/contest/1401/problem/F
X Xor_prod(int l, int r, int xor_val) {
assert(Monoid::commute);
X x = Monoid::unit();
for (int k = 0; k < log + 1; ++k) {
if (l >= r) break;
if (l & 1) { x = Monoid::op(x, dat[(size >> k) + ((l++) ^ xor_val)]); }
if (r & 1) { x = Monoid::op(x, dat[(size >> k) + ((--r) ^ xor_val)]); }
l /= 2, r /= 2, xor_val /= 2;
}
return x;
}
void debug() { print("segtree", dat); }
};
#line 2 "/home/maspy/compro/library/alg/monoid_reverse.hpp"
template <class Monoid>
struct Monoid_Reverse {
using value_type = typename Monoid::value_type;
using X = value_type;
static constexpr X op(const X &x, const X &y) { return Monoid::op(y, x); }
static constexpr X unit() { return Monoid::unit(); }
static const bool commute = Monoid::commute;
};
#line 5 "/home/maspy/compro/library/graph/treemonoid.hpp"
template <typename TREE, typename Monoid, bool edge = false>
struct TreeMonoid {
using RevMonoid = Monoid_Reverse<Monoid>;
using X = typename Monoid::value_type;
TREE &tree;
int N;
SegTree<Monoid> seg;
SegTree<RevMonoid> seg_r;
TreeMonoid(TREE &tree) : tree(tree), N(tree.N), seg(tree.N) {
if (!Monoid::commute) seg_r = SegTree<RevMonoid>(tree.N);
}
TreeMonoid(TREE &tree, vc<X> &dat) : tree(tree), N(tree.N) {
vc<X> seg_raw(N, Monoid::unit());
if (!edge) {
FOR(v, N) seg_raw[tree.LID[v]] = dat[v];
} else {
FOR(e, N - 1) {
int v = tree.e_to_v(e);
seg_raw[tree.LID[v]] = dat[e];
}
}
seg = SegTree<Monoid>(seg_raw);
if (!Monoid::commute) seg_r = SegTree<RevMonoid>(seg_raw);
}
void set(int i, X x) {
if (edge) i = tree.e_to_v(i);
i = tree.LID[i];
seg.set(i, x);
if (!Monoid::commute) seg_r.set(i, x);
}
X prod_path(int u, int v) {
auto pd = tree.get_path_decomposition(u, v, edge);
X val = Monoid::unit();
for (auto &&[a, b]: pd) {
X x = (a <= b ? seg.prod(a, b + 1)
: (Monoid::commute ? seg.prod(b, a + 1)
: seg_r.prod(b, a + 1)));
val = Monoid::op(val, x);
}
return val;
}
// uv path 上で prod_path(u, x) が check を満たす最後の x
// なければ -1
// https://codeforces.com/contest/1059/problem/E
// https://codeforces.com/contest/1230/problem/E
// edge: https://atcoder.jp/contests/tkppc3/tasks/tkppc3_i
// edge が特に怪しいかも
template <class F>
int max_path(F &check, int u, int v) {
if (edge) return max_path_edge(check, u, v);
if (!check(prod_path(u, u))) return -1;
auto pd = tree.get_path_decomposition(u, v, edge);
X val = Monoid::unit();
for (auto &&[a, b]: pd) {
X x = (a <= b ? seg.prod(a, b + 1)
: (Monoid::commute ? seg.prod(b, a + 1)
: seg_r.prod(b, a + 1)));
if (check(Monoid::op(val, x))) {
val = Monoid::op(val, x);
u = (tree.V[b]);
continue;
}
auto check_tmp = [&](X x) -> bool { return check(Monoid::op(val, x)); };
if (a <= b) {
// 下り
auto i = seg.max_right(check_tmp, a);
return (i == a ? u : tree.V[i - 1]);
} else {
// 上り
auto i = (Monoid::commute ? seg.min_left(check_tmp, a + 1)
: seg_r.min_left(check_tmp, a + 1));
if (i == a + 1) return u;
return tree.V[i];
}
}
return v;
}
X prod_subtree(int u) {
int l = tree.LID[u], r = tree.RID[u];
return seg.prod(l + edge, r);
}
void debug() {
print("tree_monoid");
tree.debug();
seg.debug();
seg_r.debug();
}
private:
template <class F>
int max_path_edge(F &check, int u, int v) {
assert(edge);
if (!check(Monoid::unit())) return -1;
int lca = tree.lca(u, v);
auto pd = tree.get_path_decomposition(u, lca, edge);
X val = Monoid::unit();
// climb
for (auto &&[a, b]: pd) {
assert(a >= b);
X x = (Monoid::commute ? seg.prod(b, a + 1) : seg_r.prod(b, a + 1));
if (check(Monoid::op(val, x))) {
val = Monoid::op(val, x);
u = (tree.parent[tree.V[b]]);
continue;
}
auto check_tmp = [&](X x) -> bool { return check(Monoid::op(val, x)); };
auto i = (Monoid::commute ? seg.min_left(check_tmp, a + 1)
: seg_r.min_left(check_tmp, a + 1));
if (i == a + 1) return u;
return tree.parent[tree.V[i]];
}
// down
pd = tree.get_path_decomposition(lca, v, edge);
for (auto &&[a, b]: pd) {
assert(a <= b);
X x = seg.prod(a, b + 1);
if (check(Monoid::op(val, x))) {
val = Monoid::op(val, x);
u = (tree.V[b]);
continue;
}
auto check_tmp = [&](X x) -> bool { return check(Monoid::op(val, x)); };
auto i = seg.max_right(check_tmp, a);
return (i == a ? u : tree.V[i - 1]);
}
return v;
}
};
#line 2 "/home/maspy/compro/library/alg/group_add.hpp"
template <typename E>
struct Group_Add {
using X = E;
using value_type = X;
static constexpr X op(const X &x, const X &y) noexcept { return x + y; }
static constexpr X inverse(const X &x) noexcept { return -x; }
static constexpr X power(const X &x, ll n) noexcept { return X(n) * x; }
static constexpr X unit() { return X(0); }
static constexpr bool commute = true;
};
#line 2 "/home/maspy/compro/library/ds/fenwick2d.hpp"
template <typename AbelGroup, typename XY, bool SMALL = false>
struct Fenwick2D {
using E = typename AbelGroup::value_type;
int N;
vc<XY> keyX;
XY min_X;
vc<int> indptr;
vc<XY> keyY;
vc<E> dat;
Fenwick2D(vc<XY>& X, vc<XY>& Y, vc<E>& wt) { build(X, Y, wt); }
Fenwick2D(vc<XY>& X, vc<XY>& Y) {
vc<E> wt(len(X), AbelGroup::unit());
build(X, Y, wt);
}
inline int xtoi(XY x) {
return (SMALL ? clamp<int>(x - min_X, 0, N) : LB(keyX, x));
}
inline int nxt(int i) {
i += 1;
return i + (i & -i) - 1;
}
inline int prev(int i) {
i += 1;
return i - (i & -i) - 1;
}
void build(vc<XY>& X, vc<XY>& Y, vc<E>& wt) {
if (!SMALL) {
keyX = X;
UNIQUE(keyX);
N = len(keyX);
} else {
min_X = (len(X) == 0 ? 0 : MIN(X));
N = (len(X) == 0 ? 0 : MAX(X)) - min_X + 1;
keyX.resize(N);
FOR(i, N) keyX[i] = min_X + i;
}
vvc<XY> keyY_raw(N);
vc<vc<E>> dat_raw(N);
auto I = argsort(Y);
for (auto&& i: I) {
int ix = xtoi(X[i]);
ll y = Y[i];
while (ix < N) {
auto& KY = keyY_raw[ix];
if (len(KY) == 0 || KY.back() < y) {
KY.eb(y);
dat_raw[ix].eb(wt[i]);
} else {
dat_raw[ix].back() = AbelGroup::op(dat_raw[ix].back(), wt[i]);
}
ix = nxt(ix);
}
}
indptr.assign(N + 1, 0);
FOR(i, N) indptr[i + 1] = indptr[i] + len(keyY_raw[i]);
keyY.resize(indptr.back());
dat.resize(indptr.back());
FOR(i, N) FOR(j, indptr[i + 1] - indptr[i]) {
keyY[indptr[i] + j] = keyY_raw[i][j];
dat[indptr[i] + j] = dat_raw[i][j];
}
FOR(i, N) {
int n = indptr[i + 1] - indptr[i];
FOR(j, n - 1) {
int k = nxt(j);
if (k < n)
dat[indptr[i] + k]
= AbelGroup::op(dat[indptr[i] + k], dat[indptr[i] + j]);
}
}
}
void multiply(XY x, XY y, E val) {
int i = xtoi(x);
assert(keyX[i] == x);
while (i < N) {
multiply_i(i, y, val);
i = nxt(i);
}
}
void add(XY x, XY y, E val) { multiply(x, y, val); }
E prod(XY lx, XY ly, XY rx, XY ry) {
E pos = AbelGroup::unit();
E neg = AbelGroup::unit();
int L = xtoi(lx) - 1;
int R = xtoi(rx) - 1;
while (L < R) {
pos = AbelGroup::op(pos, prod_i(R, ly, ry));
R = prev(R);
}
while (R < L) {
neg = AbelGroup::op(neg, prod_i(L, ly, ry));
L = prev(L);
}
E ret = AbelGroup::op(pos, AbelGroup::inverse(neg));
return ret;
}
E prefix_prod(XY rx, XY ry) {
E pos = AbelGroup::unit();
int R = xtoi(rx) - 1;
while (R >= 0) {
pos = AbelGroup::op(pos, prefix_prod_i(R, ry));
R = prev(R);
}
return pos;
}
E sum(XY lx, XY ly, XY rx, XY ry) { return prod(lx, ly, rx, ry); }
E prefix_sum(XY rx, XY ry) { return prefix_prod(rx, ry); }
void debug() {
print("keyX", keyX);
print("indptr", indptr);
print("keyY", keyY);
print("dat", dat);
}
private:
void multiply_i(int i, XY y, E val) {
int LID = indptr[i], n = indptr[i + 1] - indptr[i];
auto it = keyY.begin() + LID;
int j = lower_bound(it, it + n, y) - it;
assert(keyY[LID + j] == y);
while (j < n) {
dat[LID + j] = AbelGroup::op(dat[LID + j], val);
j = nxt(j);
}
}
E prod_i(int i, XY ly, XY ry) {
E pos = AbelGroup::unit();
E neg = AbelGroup::unit();
int LID = indptr[i], n = indptr[i + 1] - indptr[i];
auto it = keyY.begin() + LID;
int L = lower_bound(it, it + n, ly) - it - 1;
int R = lower_bound(it, it + n, ry) - it - 1;
while (L < R) {
pos = AbelGroup::op(pos, dat[LID + R]);
R = prev(R);
}
while (R < L) {
neg = AbelGroup::op(neg, dat[LID + L]);
L = prev(L);
}
return AbelGroup::op(pos, AbelGroup::inverse(neg));
}
E prefix_prod_i(int i, XY ry) {
E pos = AbelGroup::unit();
int LID = indptr[i], n = indptr[i + 1] - indptr[i];
auto it = keyY.begin() + LID;
int R = lower_bound(it, it + n, ry) - it - 1;
while (R >= 0) {
pos = AbelGroup::op(pos, dat[LID + R]);
R = prev(R);
}
return pos;
}
};
#line 6 "main.cpp"
void solve() {
LL(N, Q);
Graph<ll, 0> G(N);
G.read_tree(1);
TREE<decltype(G)> tree(G);
vi dat(N - 1);
FOR(i, N - 1) dat[i] = G.edges[i].cost;
TreeMonoid<decltype(tree), Group_Add<ll>, 1> TM(tree, dat);
auto& dist = tree.depth_weighted;
/*
・頂点 v に、根に着くのが時刻 t であるようなものを追加
・（消す）はじめて消えて到達するのが w であるとき、w に -1 個追加
euler tour をとって
*/
using T = tuple<ll, ll, ll>;
vc<T> query;
auto& LID = tree.LID;
FOR(Q) {
LL(tp, v, t, l);
--v;
if (tp == 0) {
// 追加クエリ
// 消えないで到達できる最大の頂点
auto check = [&](auto e) -> bool { return e <= l; };
auto to = TM.max_path(check, v, 0);
int w = tree.parent[to];
query.eb(1, LID[v], t + dist[v]);
if (w != -1) query.eb(-1, LID[w], t + dist[v]);
}
if (tp == 1) { query.eb(0, v, t); }
}
vi X, Y;
for (auto&& [t, x, y]: query) {
if (t == 0) continue;
X.eb(x);
Y.eb(y);
}
Fenwick2D<Group_Add<int>, ll, false> bit(X, Y);
for (auto&& [tp, x, t]: query) {
if (tp == 0) {
int v = x;
int l = tree.LID[v], r = tree.RID[v];
t += dist[v];
ll ANS = bit.sum(l, 0, r, t + 1);
print(ANS);
}
if (tp == 1) { bit.add(x, t, 1); }
if (tp == -1) { bit.add(x, t, -1); }
}
}
signed main() {
cout << fixed << setprecision(15);
ll T = 1;
// LL(T);
FOR(T) solve();
return 0;
}