結果
| 問題 | No.2163 LCA Sum Query |
| ユーザー |
 maspy
|
| 提出日時 | 2022-12-23 09:53:29 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 41,211 bytes |
| コンパイル時間 | 5,444 ms |
| コンパイル使用メモリ | 284,892 KB |
| 実行使用メモリ | 20,868 KB |
| 最終ジャッジ日時 | 2024-04-29 04:13:30 |
| 合計ジャッジ時間 | 20,892 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
（要ログイン）
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 | 2 ms
6,812 KB |
| testcase_01 | AC | 2 ms
6,816 KB |
| testcase_02 | WA | - |
| testcase_03 | WA | - |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | WA | - |
| testcase_09 | WA | - |
| testcase_10 | WA | - |
| testcase_11 | WA | - |
| testcase_12 | WA | - |
| testcase_13 | WA | - |
| testcase_14 | WA | - |
| testcase_15 | WA | - |
| testcase_16 | WA | - |
| testcase_17 | WA | - |
| testcase_18 | WA | - |
| testcase_19 | WA | - |
| testcase_20 | WA | - |
| testcase_21 | WA | - |
| testcase_22 | AC | 662 ms
16,452 KB |
| testcase_23 | WA | - |
| testcase_24 | AC | 634 ms
16,440 KB |
| testcase_25 | WA | - |
| testcase_26 | AC | 852 ms
16,452 KB |
| testcase_27 | WA | - |
| testcase_28 | AC | 877 ms
16,584 KB |
| testcase_29 | WA | - |
| testcase_30 | AC | 358 ms
20,112 KB |
| testcase_31 | WA | - |
| testcase_32 | AC | 404 ms
19,164 KB |
| testcase_33 | AC | 253 ms
20,116 KB |
| testcase_34 | AC | 305 ms
16,404 KB |
| testcase_35 | WA | - |
| testcase_36 | AC | 311 ms
16,564 KB |
| testcase_37 | AC | 197 ms
16,472 KB |
| testcase_38 | AC | 420 ms
18,116 KB |
| testcase_39 | WA | - |
| testcase_40 | AC | 438 ms
17,684 KB |
| testcase_41 | WA | - |
ソースコード
#line 1 "/home/maspy/compro/library/my_template.hpp"
#if defined(LOCAL)
#include <my_template_compiled.hpp>
#else
#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()), x.shrink_to_fit()
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;
}
#endif
#line 1 "/home/maspy/compro/library/other/io.hpp"
// based on yosupo's fastio
#include <unistd.h>
namespace fastio {
// クラスが read(), print() を持っているかを判定するメタ関数
struct has_write_impl {
template <class T>
static auto check(T &&x) -> decltype(x.write(), std::true_type{});
template <class T>
static auto check(...) -> std::false_type;
};
template <class T>
class has_write : public decltype(has_write_impl::check<T>(std::declval<T>())) {
};
struct has_read_impl {
template <class T>
static auto check(T &&x) -> decltype(x.read(), std::true_type{});
template <class T>
static auto check(...) -> std::false_type;
};
template <class T>
class has_read : public decltype(has_read_impl::check<T>(std::declval<T>())) {};
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 <typename T,
typename enable_if<has_read<T>::value>::type * = nullptr>
inline bool read_single(T &x) {
x.read();
return true;
}
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 <size_t N = 0, typename T>
void read_single_tuple(T &t) {
if constexpr (N < std::tuple_size<T>::value) {
auto &x = std::get<N>(t);
read_single(x);
read_single_tuple<N + 1>(t);
}
}
template <class... T>
bool read_single(tuple<T...> &tpl) {
read_single_tuple(tpl);
return true;
}
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 <typename T,
typename enable_if<has_write<T>::value>::type * = nullptr>
inline void write(T x) {
x.write();
}
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 <size_t N = 0, typename T>
void write_tuple(const T t) {
if constexpr (N < std::tuple_size<T>::value) {
if constexpr (N > 0) { write(' '); }
const auto x = std::get<N>(t);
write(x);
write_tuple<N + 1>(t);
}
}
template <class... T>
bool write(tuple<T...> tpl) {
write_tuple(tpl);
return true;
}
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...);
}
} // namespace fastio
using fastio::print;
using fastio::flush;
using fastio::read;
#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 1 "/home/maspy/compro/library/alg/monoid/add_tuple_3.hpp"
template <typename E1, typename E2, typename E3>
struct Monoid_Add_Tuple_3 {
using value_type = tuple<E1, E2, E3>;
using X = value_type;
static X op(X x, X y) {
auto [x0, x1, x2] = x;
auto [y0, y1, y2] = y;
return {x0 + y0, x1 + y1, x2 + y2};
}
static X inverse(X x) {
auto [x0, x1, x2] = x;
return {-x0, -x1, -x2};
}
static constexpr X unit() { return {E1(0), E2(0), E3(0)}; }
static constexpr bool commute = 1;
};
#line 2 "/home/maspy/compro/library/alg/monoid/add.hpp"
template <typename X>
struct Monoid_Add {
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 3 "/home/maspy/compro/library/alg/acted_monoid/powersums_add_3.hpp"
// 重み付き多重集合 S の要素に対する、0,1,2 乗和を管理。
template <typename T>
struct ActedMonoid_PowerSum_Add_3 {
using Monoid_X = Monoid_Add_Tuple_3<T, T, T>;
using Monoid_A = Monoid_Add<T>;
using X = typename Monoid_X::value_type;
using A = typename Monoid_A::value_type;
static X act(const X &x, const A &a, const ll &size) {
auto [x0, x1, x2] = x;
return {x0, x1 + x0 * a, x2 + (a + a) * x1 + a * a * x0};
}
};
#line 2 "/home/maspy/compro/library/ds/segtree/lazy_segtree.hpp"
template <typename ActedMonoid>
struct Lazy_SegTree {
using AM = ActedMonoid;
using MX = typename AM::Monoid_X;
using MA = typename AM::Monoid_A;
static_assert(MX::commute);
using X = typename MX::value_type;
using A = typename MA::value_type;
int n, log, size;
vc<X> dat;
vc<A> laz;
Lazy_SegTree() {}
Lazy_SegTree(int n) { build(n); }
template <typename F>
Lazy_SegTree(int n, F f) {
build(n, f);
}
Lazy_SegTree(const vc<X>& v) { build(v); }
void build(int m) {
build(m, [](int i) -> X { return MX::unit(); });
}
void build(const vc<X>& v) {
build(len(v), [&](int i) -> X { return v[i]; });
}
template <typename F>
void build(int m, F f) {
n = m, log = 1;
while ((1 << log) < n) ++log;
size = 1 << log;
dat.assign(size << 1, MX::unit());
laz.assign(size, MA::unit());
FOR(i, n) dat[size + i] = f(i);
FOR_R(i, 1, size) update(i);
}
void update(int k) { dat[k] = MX::op(dat[2 * k], dat[2 * k + 1]); }
void set(int p, X x) {
assert(0 <= p && p < n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
dat[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
}
X get(int p) {
assert(0 <= p && p < n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
return dat[p];
}
vc<X> get_all() {
FOR(k, 1, size) { push(k); }
return {dat.begin() + size, dat.begin() + size + n};
}
X prod(int l, int r) {
assert(0 <= l && l <= r && r <= n);
if (l == r) return MX::unit();
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);
}
X x = MX::unit();
while (l < r) {
if (l & 1) x = MX::op(x, dat[l++]);
if (r & 1) x = MX::op(x, dat[--r]);
l >>= 1, r >>= 1;
}
return x;
}
X prod_all() { return dat[1]; }
void apply(int l, int r, A a) {
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) apply_at(l++, a);
if (r & 1) apply_at(--r, a);
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 <typename F>
int max_right(const F check, int l) {
assert(0 <= l && l <= n);
assert(check(MX::unit()));
if (l == n) return n;
l += size;
for (int i = log; i >= 1; i--) push(l >> i);
X sm = MX::unit();
do {
while (l % 2 == 0) l >>= 1;
if (!check(MX::op(sm, dat[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (check(MX::op(sm, dat[l]))) { sm = MX::op(sm, dat[l++]); }
}
return l - size;
}
sm = MX::op(sm, dat[l++]);
} while ((l & -l) != l);
return n;
}
template <typename F>
int min_left(const F check, int r) {
assert(0 <= r && r <= n);
assert(check(MX::unit()));
if (r == 0) return 0;
r += size;
for (int i = log; i >= 1; i--) push((r - 1) >> i);
X sm = MX::unit();
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!check(MX::op(dat[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (check(MX::op(dat[r], sm))) { sm = MX::op(dat[r--], sm); }
}
return r + 1 - size;
}
sm = MX::op(dat[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
void apply_at(int k, A a) {
ll sz = 1 << (log - topbit(k));
dat[k] = AM::act(dat[k], a, sz);
if (k < size) laz[k] = MA::op(laz[k], a);
}
void push(int k) {
if (laz[k] == MA::unit()) return;
apply_at(2 * k, laz[k]), apply_at(2 * k + 1, laz[k]);
laz[k] = MA::unit();
}
};
#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 GT>
struct TREE {
GT &G;
using WT = typename GT::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(GT &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 (hld && 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) {
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 3 "/home/maspy/compro/library/graph/ds/lazy_tree_monoid.hpp"
template <typename TREE, typename ActedMonoid, bool edge = false>
struct Lazy_Tree_Monoid {
using MonoX = typename ActedMonoid::Monoid_X;
using MonoA = typename ActedMonoid::Monoid_A;
static_assert(MonoX::commute);
using X = typename MonoX::value_type;
using A = typename MonoA::value_type;
TREE &tree;
int N;
Lazy_SegTree<ActedMonoid> seg;
Lazy_Tree_Monoid(TREE &tree) : tree(tree), N(tree.N), seg(tree.N) {}
Lazy_Tree_Monoid(TREE &tree, vc<X> dat) : tree(tree), N(tree.N) {
vc<X> seg_raw(N, MonoX::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 = Lazy_SegTree<ActedMonoid>(seg_raw);
}
template <typename F>
Lazy_Tree_Monoid(TREE &tree, F f) : tree(tree), N(tree.N) {
vc<X> seg_raw(N, MonoX::unit());
if (!edge) {
FOR(v, N) seg_raw[tree.LID[v]] = f(v);
} else {
FOR(e, N - 1) {
int v = tree.e_to_v(e);
seg_raw[tree.LID[v]] = f(e);
}
}
seg = Lazy_SegTree<ActedMonoid>(seg_raw);
}
void set(int i, X x) {
if (edge) i = tree.e_to_v(i);
i = tree.LID[i];
seg.set(i, x);
}
X get(int v) { return seg.get(tree.LID[v]); }
vc<X> get_all() {
vc<X> dat = seg.get_all();
vc<X> res(N);
FOR(v, N) res[v] = dat[tree.LID[v]];
return res;
}
X prod_path(int u, int v) {
auto pd = tree.get_path_decomposition(u, v, edge);
X val = MonoX::unit();
for (auto &&[a, b]: pd) {
X x = (a <= b ? seg.prod(a, b + 1) : seg.prod(b, a + 1));
val = MonoX::op(val, x);
}
return val;
}
X prod_subtree(int u) {
int l = tree.LID[u], r = tree.RID[u];
return seg.prod(l + edge, r);
}
X prod_all() { return seg.prod_all(); }
void apply_path(int u, int v, A a) {
auto pd = tree.get_path_decomposition(u, v, edge);
for (auto &&[x, y]: pd) {
int l = min(x, y), r = max(x, y);
seg.apply(l, r + 1, a);
}
}
void apply_subtree(int u, A a) {
int l = tree.LID[u], r = tree.RID[u];
return seg.apply(l + edge, r, a);
}
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 = MonoX::unit();
for (auto &&[a, b]: pd) {
X x = (a <= b ? seg.prod(a, b + 1) : seg.prod(b, a + 1));
if (check(MonoX::op(val, x))) {
val = MonoX::op(val, x);
u = (tree.V[b]);
continue;
}
auto check_tmp = [&](X x) -> bool { return check(MonoX::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 = seg.min_left(check_tmp, a + 1);
if (i == a + 1) return u;
return tree.V[i];
}
}
return v;
}
private:
template <class F>
int max_path_edge(F &check, int u, int v) {
assert(edge);
if (!check(MonoX::unit())) return -1;
int lca = tree.lca(u, v);
auto pd = tree.get_path_decomposition(u, lca, edge);
X val = MonoX::unit();
// climb
for (auto &&[a, b]: pd) {
assert(a >= b);
X x = seg.prod(b, a + 1);
if (check(MonoX::op(val, x))) {
val = MonoX::op(val, x);
u = (tree.parent[tree.V[b]]);
continue;
}
auto check_tmp = [&](X x) -> bool { return check(MonoX::op(val, x)); };
auto i = seg.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(MonoX::op(val, x))) {
val = MonoX::op(val, x);
u = (tree.V[b]);
continue;
}
auto check_tmp = [&](X x) -> bool { return check(MonoX::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/graph/ds/tree_monoid.hpp"
#line 2 "/home/maspy/compro/library/ds/segtree/segtree.hpp"
template <class Monoid>
struct SegTree {
using MX = Monoid;
using X = typename MX::value_type;
using value_type = X;
vc<X> dat;
int n, log, size;
SegTree() {}
SegTree(int n) { build(n); }
template <typename F>
SegTree(int n, F f) {
build(n, f);
}
SegTree(const vc<X>& v) { build(v); }
void build(int m) {
build(m, [](int i) -> X { return MX::unit(); });
}
void build(const vc<X>& v) {
build(len(v), [&](int i) -> X { return v[i]; });
}
template <typename F>
void build(int m, F f) {
n = m, log = 1;
while ((1 << log) < n) ++log;
size = 1 << log;
dat.assign(size << 1, MX::unit());
FOR(i, n) dat[size + i] = f(i);
FOR_R(i, 1, size) update(i);
}
X get(int i) { return dat[size + i]; }
vc<X> get_all() { return {dat.begin() + size, dat.begin() + size + n}; }
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(0 <= L && L <= R && 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++]); }
}
return L - size;
}
sm = Monoid::op(sm, dat[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); }
}
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 xor x] が計算可能
X xor_prod(int l, int r, int xor_val) {
static_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;
}
};
#line 2 "/home/maspy/compro/library/alg/monoid/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 6 "/home/maspy/compro/library/graph/ds/tree_monoid.hpp"
template <typename TREE, typename Monoid, bool edge = false>
struct Tree_Monoid {
using RevMonoid = Monoid_Reverse<Monoid>;
using X = typename Monoid::value_type;
TREE &tree;
int N;
SegTree<Monoid> seg;
SegTree<RevMonoid> seg_r;
Tree_Monoid(TREE &tree) : tree(tree), N(tree.N), seg(tree.N) {
if (!Monoid::commute) seg_r = SegTree<RevMonoid>(tree.N);
}
Tree_Monoid(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);
}
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/monoid/add_pair.hpp"
template <typename E>
struct Monoid_Add_Pair {
using value_type = pair<E, E>;
using X = value_type;
static constexpr X op(const X &x, const X &y) {
return {x.fi + y.fi, x.se + y.se};
}
static constexpr X inverse(const X &x) { return {-x.fi, -x.se}; }
static constexpr X unit() { return {0, 0}; }
static constexpr bool commute = true;
};
#line 7 "main.cpp"
void solve() {
LL(N, Q);
Graph<int, 0> G(N);
G.read_tree();
TREE<decltype(G)> tree(G);
auto par = tree.parent;
/*
・subtree(v) にある pair が xv 個であるとする
・xv * (v - p) を加算。v が根なら p = 0 として
*/
using T3 = tuple<ll, ll, ll>;
using AM = ActedMonoid_PowerSum_Add_3<ll>;
Lazy_Tree_Monoid<decltype(tree), AM, 0> TM1(tree, [&](int v) -> T3 {
return {v - par[v], 0, 0};
});
Tree_Monoid<decltype(tree), Monoid_Add<int>, 0> TM2(tree);
Lazy_Tree_Monoid<decltype(tree), AM, 0> TM3(tree, [&](int v) -> T3 {
return {par[v] - v, 0, 0};
});
vc<bool> in_S(N);
FOR(Q) {
LL(u, r, v);
--u, --r, --v;
// update
if (!in_S[u]) {
in_S[u] = 1;
TM1.apply_path(0, u, 1);
TM2.set(u, 1);
TM3.apply_subtree(0, 1);
TM3.apply_path(0, u, -1);
} else {
in_S[u] = 0;
TM1.apply_path(0, u, -1);
TM2.set(u, 0);
TM3.apply_subtree(0, -1);
TM3.apply_path(0, u, 1);
}
auto calc_inside = [&](int v) -> ll {
auto [a, b, c] = TM1.prod_subtree(v);
ll k = TM2.prod_subtree(v);
ll x = (c - b) / 2;
x += k * (k - 1) / 2 * (1 + par[v]);
return x;
};
auto calc_outside = [&](int v) -> ll {
ll x = 0;
{
auto [a, b, c] = TM1.prod_subtree(0);
x += (c - b) / 2;
}
{
auto [a, b, c] = TM1.prod_subtree(v);
x -= (c - b) / 2;
}
if (v != 0) {
auto [a, b, c] = TM1.prod_path(0, par[v]);
x -= (c - b) / 2;
}
{
auto [a, b, c] = TM3.prod_path(0, v);
x += (c - b) / 2;
}
ll k = TM2.prod_subtree(0) - TM2.prod_subtree(v) + TM2.prod_path(v, v);
x += k * (k - 1) / 2 * (1 + v);
return x;
};
// solve query
if (r == v) {
ll x = 0;
x += calc_inside(v);
x += calc_outside(v);
ll n = TM2.prod_subtree(0);
ll a = TM2.prod_subtree(v) - (in_S[v] ? 1 : 0);
ll b = n - a - (in_S[v] ? 1 : 0);
x += a * b * (1 + v);
print(x);
}
elif (!tree.in_subtree(r, v)) { print(calc_inside(v)); }
else {
print(calc_outside(v));
}
}
}
signed main() {
int T = 1;
// INT(T);
FOR(T) solve();
return 0;
}