結果
| 問題 | No.3106 Toptree is but what is not. |
| ユーザー |
 NyaanNyaan
|
| 提出日時 | 2023-03-31 22:49:21 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 23,830 bytes |
| コンパイル時間 | 4,522 ms |
| コンパイル使用メモリ | 294,080 KB |
| 実行使用メモリ | 29,784 KB |
| 最終ジャッジ日時 | 2023-10-24 09:09:00 |
| 合計ジャッジ時間 | 6,705 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge14 |
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ソースコード
/**
* date : 2023-03-31 22:49:14
*/
#define NDEBUG
using namespace std;
// intrinstic
#include <immintrin.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
// utility
namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;
template <typename T, typename U>
struct P : pair<T, U> {
template <typename... Args>
P(Args... args) : pair<T, U>(args...) {}
using pair<T, U>::first;
using pair<T, U>::second;
P &operator+=(const P &r) {
first += r.first;
second += r.second;
return *this;
}
P &operator-=(const P &r) {
first -= r.first;
second -= r.second;
return *this;
}
P &operator*=(const P &r) {
first *= r.first;
second *= r.second;
return *this;
}
template <typename S>
P &operator*=(const S &r) {
first *= r, second *= r;
return *this;
}
P operator+(const P &r) const { return P(*this) += r; }
P operator-(const P &r) const { return P(*this) -= r; }
P operator*(const P &r) const { return P(*this) *= r; }
template <typename S>
P operator*(const S &r) const {
return P(*this) *= r;
}
P operator-() const { return P{-first, -second}; }
};
using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;
constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;
template <typename T>
int sz(const T &t) {
return t.size();
}
template <typename T, typename U>
inline bool amin(T &x, U y) {
return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
return (x < y) ? (x = y, true) : false;
}
template <typename T>
inline T Max(const vector<T> &v) {
return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
return accumulate(begin(v), end(v), 0LL);
}
template <typename T>
int lb(const vector<T> &v, const T &a) {
return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
return upper_bound(begin(v), end(v), a) - begin(v);
}
constexpr long long TEN(int n) {
long long ret = 1, x = 10;
for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
return ret;
}
template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
return make_pair(t, u);
}
template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
vector<T> ret(v.size() + 1);
if (rev) {
for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
} else {
for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
}
return ret;
};
template <typename T>
vector<T> mkuni(const vector<T> &v) {
vector<T> ret(v);
sort(ret.begin(), ret.end());
ret.erase(unique(ret.begin(), ret.end()), ret.end());
return ret;
}
template <typename F>
vector<int> mkord(int N,F f) {
vector<int> ord(N);
iota(begin(ord), end(ord), 0);
sort(begin(ord), end(ord), f);
return ord;
}
template <typename T>
vector<int> mkinv(vector<T> &v) {
int max_val = *max_element(begin(v), end(v));
vector<int> inv(max_val + 1, -1);
for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
return inv;
}
vector<int> mkiota(int n) {
vector<int> ret(n);
iota(begin(ret), end(ret), 0);
return ret;
}
template <typename T>
T mkrev(const T &v) {
T w{v};
reverse(begin(w), end(w));
return w;
}
template <typename T>
bool nxp(vector<T> &v) {
return next_permutation(begin(v), end(v));
}
template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;
} // namespace Nyaan
// bit operation
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
return _mm_popcnt_u64(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
template <typename T>
inline int gbit(const T &a, int i) {
return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
} // namespace Nyaan
// inout
namespace Nyaan {
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
int s = (int)v.size();
for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (auto &x : v) is >> x;
return is;
}
istream &operator>>(istream &is, __int128_t &x) {
string S;
is >> S;
x = 0;
int flag = 0;
for (auto &c : S) {
if (c == '-') {
flag = true;
continue;
}
x *= 10;
x += c - '0';
}
if (flag) x = -x;
return is;
}
istream &operator>>(istream &is, __uint128_t &x) {
string S;
is >> S;
x = 0;
for (auto &c : S) {
x *= 10;
x += c - '0';
}
return is;
}
ostream &operator<<(ostream &os, __int128_t x) {
if (x == 0) return os << 0;
if (x < 0) os << '-', x = -x;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
if (x == 0) return os << 0;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
void in() {}
template <typename T, class... U>
void in(T &t, U &...u) {
cin >> t;
in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
cout << t;
if (sizeof...(u)) cout << sep;
out(u...);
}
struct IoSetupNya {
IoSetupNya() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetupnya;
} // namespace Nyaan
// debug
#ifdef NyaanDebug
#define trc(...) (void(0))
#else
#define trc(...) (void(0))
#endif
#ifdef NyaanLocal
#define trc2(...) (void(0))
#else
#define trc2(...) (void(0))
#endif
// macro
#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define fi first
#define se second
#define ini(...) \
int __VA_ARGS__; \
in(__VA_ARGS__)
#define inl(...) \
long long __VA_ARGS__; \
in(__VA_ARGS__)
#define ins(...) \
string __VA_ARGS__; \
in(__VA_ARGS__)
#define in2(s, t) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i]); \
}
#define in3(s, t, u) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i]); \
}
#define in4(s, t, u, v) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i], v[i]); \
}
#define die(...) \
do { \
Nyaan::out(__VA_ARGS__); \
return; \
} while (0)
namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }
//
struct bit_vector {
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
static constexpr u32 w = 64;
vector<u64> block;
vector<u32> count;
u32 n, zeros;
inline u32 get(u32 i) const { return u32(block[i / w] >> (i % w)) & 1u; }
inline void set(u32 i) { block[i / w] |= 1LL << (i % w); }
bit_vector() {}
bit_vector(int _n) { init(_n); }
__attribute__((optimize("O3", "unroll-loops"))) void init(int _n) {
n = zeros = _n;
block.resize(n / w + 1, 0);
count.resize(block.size(), 0);
}
__attribute__((target("popcnt"))) void build() {
for (u32 i = 1; i < block.size(); ++i)
count[i] = count[i - 1] + _mm_popcnt_u64(block[i - 1]);
zeros = rank0(n);
}
inline u32 rank0(u32 i) const { return i - rank1(i); }
__attribute__((target("bmi2,popcnt"))) inline u32 rank1(u32 i) const {
return count[i / w] + _mm_popcnt_u64(_bzhi_u64(block[i / w], i % w));
}
};
template <typename T>
struct WaveletMatrix {
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
int n, lg;
vector<T> a;
vector<bit_vector> bv;
WaveletMatrix(u32 _n) : n(max<u32>(_n, 1)), a(n) {}
WaveletMatrix(const vector<T>& _a) : n(_a.size()), a(_a) { build(); }
__attribute__((optimize("O3"))) void build() {
lg = __lg(max<T>(*max_element(begin(a), end(a)), 1)) + 1;
bv.assign(lg, n);
vector<T> cur = a, nxt(n);
for (int h = lg - 1; h >= 0; --h) {
for (int i = 0; i < n; ++i)
if ((cur[i] >> h) & 1) bv[h].set(i);
bv[h].build();
array<decltype(begin(nxt)), 2> it{begin(nxt), begin(nxt) + bv[h].zeros};
for (int i = 0; i < n; ++i) *it[bv[h].get(i)]++ = cur[i];
swap(cur, nxt);
}
return;
}
void set(u32 i, const T& x) {
assert(x >= 0);
a[i] = x;
}
inline pair<u32, u32> succ0(int l, int r, int h) const {
return make_pair(bv[h].rank0(l), bv[h].rank0(r));
}
inline pair<u32, u32> succ1(int l, int r, int h) const {
u32 l0 = bv[h].rank0(l);
u32 r0 = bv[h].rank0(r);
u32 zeros = bv[h].zeros;
return make_pair(l + zeros - l0, r + zeros - r0);
}
// return a[k]
T access(u32 k) const {
T ret = 0;
for (int h = lg - 1; h >= 0; --h) {
u32 f = bv[h].get(k);
ret |= f ? T(1) << h : 0;
k = f ? bv[h].rank1(k) + bv[h].zeros : bv[h].rank0(k);
}
return ret;
}
// k-th (0-indexed) smallest number in a[l, r)
T kth_smallest(u32 l, u32 r, u32 k) const {
T res = 0;
for (int h = lg - 1; h >= 0; --h) {
u32 l0 = bv[h].rank0(l), r0 = bv[h].rank0(r);
if (k < r0 - l0)
l = l0, r = r0;
else {
k -= r0 - l0;
res |= (T)1 << h;
l += bv[h].zeros - l0;
r += bv[h].zeros - r0;
}
}
return res;
}
// k-th (0-indexed) largest number in a[l, r)
T kth_largest(int l, int r, int k) {
return kth_smallest(l, r, r - l - k - 1);
}
// count i s.t. (l <= i < r) && (v[i] < upper)
int range_freq(int l, int r, T upper) {
if (upper >= (T(1) << lg)) return r - l;
int ret = 0;
for (int h = lg - 1; h >= 0; --h) {
bool f = (upper >> h) & 1;
u32 l0 = bv[h].rank0(l), r0 = bv[h].rank0(r);
if (f) {
ret += r0 - l0;
l += bv[h].zeros - l0;
r += bv[h].zeros - r0;
} else {
l = l0;
r = r0;
}
}
return ret;
}
int range_freq(int l, int r, T lower, T upper) {
return range_freq(l, r, upper) - range_freq(l, r, lower);
}
// max v[i] s.t. (l <= i < r) && (v[i] < upper)
T prev_value(int l, int r, T upper) {
int cnt = range_freq(l, r, upper);
return cnt == 0 ? T(-1) : kth_smallest(l, r, cnt - 1);
}
// min v[i] s.t. (l <= i < r) && (lower <= v[i])
T next_value(int l, int r, T lower) {
int cnt = range_freq(l, r, lower);
return cnt == r - l ? T(-1) : kth_smallest(l, r, cnt);
}
};
/*
* @brief Wavelet Matrix
* @docs docs/data-structure-2d/wavelet-matrix.md
*/
//
template <typename T>
struct edge {
int src, to;
T cost;
edge(int _to, T _cost) : src(-1), to(_to), cost(_cost) {}
edge(int _src, int _to, T _cost) : src(_src), to(_to), cost(_cost) {}
edge &operator=(const int &x) {
to = x;
return *this;
}
operator int() const { return to; }
};
template <typename T>
using Edges = vector<edge<T>>;
template <typename T>
using WeightedGraph = vector<Edges<T>>;
using UnweightedGraph = vector<vector<int>>;
// Input of (Unweighted) Graph
UnweightedGraph graph(int N, int M = -1, bool is_directed = false,
bool is_1origin = true) {
UnweightedGraph g(N);
if (M == -1) M = N - 1;
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
if (is_1origin) x--, y--;
g[x].push_back(y);
if (!is_directed) g[y].push_back(x);
}
return g;
}
// Input of Weighted Graph
template <typename T>
WeightedGraph<T> wgraph(int N, int M = -1, bool is_directed = false,
bool is_1origin = true) {
WeightedGraph<T> g(N);
if (M == -1) M = N - 1;
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
T c;
cin >> c;
if (is_1origin) x--, y--;
g[x].emplace_back(x, y, c);
if (!is_directed) g[y].emplace_back(y, x, c);
}
return g;
}
// Input of Edges
template <typename T>
Edges<T> esgraph(int N, int M, int is_weighted = true, bool is_1origin = true) {
Edges<T> es;
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
T c;
if (is_weighted)
cin >> c;
else
c = 1;
if (is_1origin) x--, y--;
es.emplace_back(x, y, c);
}
return es;
}
// Input of Adjacency Matrix
template <typename T>
vector<vector<T>> adjgraph(int N, int M, T INF, int is_weighted = true,
bool is_directed = false, bool is_1origin = true) {
vector<vector<T>> d(N, vector<T>(N, INF));
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
T c;
if (is_weighted)
cin >> c;
else
c = 1;
if (is_1origin) x--, y--;
d[x][y] = c;
if (!is_directed) d[y][x] = c;
}
return d;
}
/**
* @brief グラフテンプレート
* @docs docs/graph/graph-template.md
*/
//
template <typename G>
struct HeavyLightDecomposition {
private:
void dfs_sz(int cur) {
size[cur] = 1;
for (auto& dst : g[cur]) {
if (dst == par[cur]) {
if (g[cur].size() >= 2 && int(dst) == int(g[cur][0]))
swap(g[cur][0], g[cur][1]);
else
continue;
}
depth[dst] = depth[cur] + 1;
par[dst] = cur;
dfs_sz(dst);
size[cur] += size[dst];
if (size[dst] > size[g[cur][0]]) {
swap(dst, g[cur][0]);
}
}
}
void dfs_hld(int cur) {
down[cur] = id++;
for (auto dst : g[cur]) {
if (dst == par[cur]) continue;
nxt[dst] = (int(dst) == int(g[cur][0]) ? nxt[cur] : int(dst));
dfs_hld(dst);
}
up[cur] = id;
}
// [u, v)
vector<pair<int, int>> ascend(int u, int v) const {
vector<pair<int, int>> res;
while (nxt[u] != nxt[v]) {
res.emplace_back(down[u], down[nxt[u]]);
u = par[nxt[u]];
}
if (u != v) res.emplace_back(down[u], down[v] + 1);
return res;
}
// (u, v]
vector<pair<int, int>> descend(int u, int v) const {
if (u == v) return {};
if (nxt[u] == nxt[v]) return {{down[u] + 1, down[v]}};
auto res = descend(u, par[nxt[v]]);
res.emplace_back(down[nxt[v]], down[v]);
return res;
}
public:
G& g;
int id;
vector<int> size, depth, down, up, nxt, par;
HeavyLightDecomposition(G& _g, int root = 0)
: g(_g),
id(0),
size(g.size(), 0),
depth(g.size(), 0),
down(g.size(), -1),
up(g.size(), -1),
nxt(g.size(), root),
par(g.size(), root) {
dfs_sz(root);
dfs_hld(root);
}
void build(int root) {
dfs_sz(root);
dfs_hld(root);
}
pair<int, int> idx(int i) const { return make_pair(down[i], up[i]); }
template <typename F>
void path_query(int u, int v, bool vertex, const F& f) {
int l = lca(u, v);
for (auto&& [a, b] : ascend(u, l)) {
int s = a + 1, t = b;
s > t ? f(t, s) : f(s, t);
}
if (vertex) f(down[l], down[l] + 1);
for (auto&& [a, b] : descend(l, v)) {
int s = a, t = b + 1;
s > t ? f(t, s) : f(s, t);
}
}
template <typename F>
void path_noncommutative_query(int u, int v, bool vertex, const F& f) {
int l = lca(u, v);
for (auto&& [a, b] : ascend(u, l)) f(a + 1, b);
if (vertex) f(down[l], down[l] + 1);
for (auto&& [a, b] : descend(l, v)) f(a, b + 1);
}
template <typename F>
void subtree_query(int u, bool vertex, const F& f) {
f(down[u] + int(!vertex), up[u]);
}
int lca(int a, int b) {
while (nxt[a] != nxt[b]) {
if (down[a] < down[b]) swap(a, b);
a = par[nxt[a]];
}
return depth[a] < depth[b] ? a : b;
}
int dist(int a, int b) { return depth[a] + depth[b] - depth[lca(a, b)] * 2; }
};
/**
* @brief Heavy Light Decomposition(重軽分解)
* @docs docs/tree/heavy-light-decomposition.md
*/
template <typename G>
struct Tree {
private:
G& g;
int root;
vector<vector<int>> bl;
vector<int> dp;
void build() {
bl.resize(g.size());
dp.resize(g.size());
dfs(root, -1, 0);
}
void dfs(int c, int p, int _dp) {
dp[c] = _dp;
for (int i = p, x = -1; i != -1;) {
bl[c].push_back(i);
i = ++x < (int)bl[i].size() ? bl[i][x] : -1;
}
for (auto& d : g[c]) {
if (d == p) continue;
dfs(d, c, _dp + 1);
}
}
public:
Tree(G& _g, int _r = 0) : g(_g), root(_r) { build(); }
int depth(int u) const { return dp[u]; }
int par(int u) const { return u == root ? -1 : bl[u][0]; }
int kth_ancestor(int u, int k) const {
if (dp[u] < k) return -1;
for (int i = k ? __lg(k) : -1; i >= 0; --i) {
if ((k >> i) & 1) u = bl[u][i];
}
return u;
}
int nxt(int s, int t) const {
if (dp[s] >= dp[t]) return par(s);
int u = kth_ancestor(t, dp[t] - dp[s] - 1);
return bl[u][0] == s ? u : bl[s][0];
}
vector<int> path(int s, int t) const {
vector<int> pre, suf;
while (dp[s] > dp[t]) {
pre.push_back(s);
s = bl[s][0];
}
while (dp[s] < dp[t]) {
suf.push_back(t);
t = bl[t][0];
}
while (s != t) {
pre.push_back(s);
suf.push_back(t);
s = bl[s][0];
t = bl[t][0];
}
pre.push_back(s);
reverse(begin(suf), end(suf));
copy(begin(suf), end(suf), back_inserter(pre));
return pre;
}
int lca(int u, int v) {
if (dp[u] != dp[v]) {
if (dp[u] > dp[v]) swap(u, v);
v = kth_ancestor(v, dp[v] - dp[u]);
}
if (u == v) return u;
for (int i = __lg(dp[u]); i >= 0; --i) {
if (dp[u] < (1 << i)) continue;
if (bl[u][i] != bl[v][i]) u = bl[u][i], v = bl[v][i];
}
return bl[u][0];
}
};
/**
* @brief 木に対する一般的なクエリ
* @docs docs/tree/tree-query.md
*/
using namespace Nyaan;
void q() {
inl(N);
auto g = graph(N, N - 1, false, false);
{
vl A(N);
in(A);
}
HeavyLightDecomposition hld{g};
Tree tree{g};
vi init(N);
rep(i, N) init[hld.down[i]] = i;
WaveletMatrix wm{init};
WaveletMatrix wm2{hld.down};
auto invdown = mkinv(hld.down);
ini(Q);
ll a = 0, b = 0, xsum = 0;
rep(q, Q) {
{
inl(A, B, K);
// 手元だとオフラインにする 脳が壊れるので
a = A;
b = B;
#ifndef NyaanLocal
a += xsum;
b += xsum * 2;
a %= N;
b %= N;
#endif
}
inl(delta);
int L = min(a, b);
int R = max(a, b) + 1;
trc(L, R);
// サイズ 1 -> 例外処理
if (L + 1 == R) {
out(L);
xsum += L, xsum %= N;
continue;
}
// HLD 順の中央値付近について調べればよい
int S = R - L;
vi kouho;
if (S % 2 == 0) {
kouho.push_back(invdown[wm2.kth_smallest(L, R, S / 2 - 1)]);
kouho.push_back(invdown[wm2.kth_smallest(L, R, S / 2)]);
} else {
kouho.push_back(invdown[wm2.kth_smallest(L, R, S / 2)]);
}
// 答えが複数ある場合は lambda との距離で判定
ll ans = -1, dist = inf;
auto upd = [&](int x) {
int d = hld.dist(delta, x);
if (amin(dist, d)) ans = x;
};
each(mh, kouho) {
trc(mh);
// 根から m_h へのパス上の頂点
vp path;
auto f = [&](int u, int v) { path.emplace_back(u, v); };
hld.path_query(mh, 0, true, f);
reverse(all(path));
trc(path);
// 根から辿る。部分木のサイズが t 以上である最も深い点は？
auto calc = [&](int t) {
pi res{-1, -1};
int ok = 0, ng = sz(path);
while (ok + 1 < ng) {
int m = (ok + ng) / 2;
int x = path[m].first;
int xd = hld.down[x];
int xu = hld.up[x];
int num = wm.range_freq(xd, xu, L, R);
(num >= t ? ok : ng) = m;
}
res.first = ok;
ok = path[res.first].first;
ng = path[res.first].second;
while (ok + 1 < ng) {
int m = (ok + ng) / 2;
int xd = hld.down[m];
int xu = hld.up[m];
int num = wm.range_freq(xd, xu, L, R);
(num >= t ? ok : ng) = m;
}
res.second = ok;
return res;
};
int th = (S + 1) / 2;
// 最も深い頂点は？
pi deep = calc(th);
// 部分木のサイズが th 以上になる最も浅い頂点は？
pi shallow{-1, -1};
// S が偶数の場合
if (S % 2 == 0) {
// th + 1 以上で最も深い点
shallow = calc(th + 1);
// 部分木のサイズの最大が S/2 ならば shallow は valid
// それ以外は 1 個深い所に行く
pi nxt = shallow;
if (nxt.second + 1 == path[nxt.first].second) {
assert(nxt.first + 1 != sz(path));
nxt.first++;
nxt.second = path[nxt.first].first;
} else {
nxt.second++;
}
int nd = hld.down[nxt.second];
int nu = hld.up[nxt.second];
if (S % 2 == 0 and wm2.range_freq(nd, nu, L, R) == S / 2) {
// do nothing
} else {
shallow = nxt;
}
} else {
// 1 択
shallow = deep;
}
trc(shallow);
trc(deep);
int u = shallow.second;
int v = deep.second;
assert(hld.depth[u] <= hld.depth[v]);
upd(u), upd(v);
// u-v パスのうち delta への最近点は？
// -> LCA を見る
int w = hld.lca(v, delta);
// w がパス上に載っているか？
if (hld.dist(u, w) + hld.dist(w, v) == hld.dist(u, v)) {
upd(w);
}
}
out(ans);
xsum += ans;
xsum %= N;
}
}
void Nyaan::solve() {
int t = 1;
// in(t);
while (t--) q();
}