結果
| 問題 | No.2242 Cities and Teleporters |
| コンテスト | |
| ユーザー |
 Misuki
|
| 提出日時 | 2026-06-10 16:19:40 |
| 言語 | C++23 (gcc 15.2.0 + boost 1.89.0) |
| 結果 |
AC
|
| 実行時間 | 342 ms / 3,000 ms |
| コード長 | 17,322 bytes |
| 記録 | |
| コンパイル時間 | 3,364 ms |
| コンパイル使用メモリ | 303,336 KB |
| 実行使用メモリ | 36,272 KB |
| 最終ジャッジ日時 | 2026-06-10 16:19:51 |
| 合計ジャッジ時間 | 9,746 ms |
|
ジャッジサーバーID （参考情報） |
judge1_0 / judge2_1 |
| 純コード判定待ち |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| other | AC * 26 |
ソースコード
#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 <variant>
#include <bit>
#include <compare>
#include <concepts>
#include <numbers>
#include <ranges>
#include <span>
//#define int ll
#define INT128_MAX (__int128)(((unsigned __int128) 1 << ((sizeof(__int128) * __CHAR_BIT__) - 1)) - 1)
#define INT128_MIN (-INT128_MAX - 1)
#define pb push_back
#define eb emplace_back
#define clock chrono::steady_clock::now().time_since_epoch().count()
using namespace std;
template<size_t I = 0, typename... args>
ostream& print_tuple(ostream& os, const tuple<args...> tu) {
os << get<I>(tu);
if constexpr (I + 1 != sizeof...(args)) {
os << ' ';
print_tuple<I + 1>(os, tu);
}
return os;
}
template<typename... args>
ostream& operator<<(ostream& os, const tuple<args...> tu) {
return print_tuple(os, tu);
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2> pr) {
return os << pr.first << ' ' << pr.second;
}
template<class T, size_t N>
ostream& operator<<(ostream& os, const array<T, N> &arr) {
for(size_t i = 0; T x : arr) {
os << x;
if (++i != N) os << ' ';
}
return os;
}
template<class T>
ostream& operator<<(ostream& os, const vector<T> &vec) {
for(size_t i = 0; T x : vec) {
os << x;
if (++i != size(vec)) os << ' ';
}
return os;
}
template<class T>
ostream& operator<<(ostream& os, const set<T> &s) {
for(size_t i = 0; T x : s) {
os << x;
if (++i != size(s)) os << ' ';
}
return os;
}
template<class T>
ostream& operator<<(ostream& os, const multiset<T> &s) {
for(size_t i = 0; T x : s) {
os << x;
if (++i != size(s)) os << ' ';
}
return os;
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const map<T1, T2> &m) {
for(size_t i = 0; pair<T1, T2> x : m) {
os << x.first << " : " << x.second;
if (++i != size(m)) os << ", ";
}
return os;
}
template<class T>
ostream& operator<<(ostream&os, span<T> &s) {
for(size_t i = 0; T &x : s) {
os << x;
if (++i != size(s)) os << ' ';
}
return os;
}
#ifdef DEBUG
#define dbg(...) cerr << '(', _do(#__VA_ARGS__), cerr << ") = ", _do2(__VA_ARGS__)
template<typename T> void _do(T &&x) { cerr << x; }
template<typename T, typename ...S> void _do(T &&x, S&&...y) { cerr << x << ", "; _do(y...); }
template<typename T> void _do2(T &&x) { cerr << x << endl; }
template<typename T, typename ...S> void _do2(T &&x, S&&...y) { cerr << x << ", "; _do2(y...); }
#else
#define dbg(...)
#endif
using ll = long long;
using ull = unsigned long long;
using ldb = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
//#define double ldb
template<typename T> using vc = vector<T>;
template<typename T> using vvc = vc<vc<T>>;
template<typename T> using vvvc = vc<vvc<T>>;
using vi = vc<int>;
using vll = vc<ll>;
using vvi = vvc<int>;
using vvll = vvc<ll>;
template<typename T> using min_heap = priority_queue<T, vc<T>, greater<T>>;
template<typename T> using max_heap = priority_queue<T>;
template<typename R, typename F, typename... Args>
concept R_invocable = requires(F&& f, Args&&... args) {
{ std::invoke(std::forward<F>(f), std::forward<Args>(args)...) } -> std::same_as<R>;
};
template<ranges::forward_range rng, class T = ranges::range_value_t<rng>, typename F>
requires R_invocable<T, F, T, T>
void pSum(rng &&v, F f) {
if (!v.empty())
for(T p = *v.begin(); T &x : v | views::drop(1))
x = p = f(p, x);
}
template<ranges::forward_range rng, class T = ranges::range_value_t<rng>>
void pSum(rng &&v) {
if (!v.empty())
for(T p = *v.begin(); T &x : v | views::drop(1))
x = p = p + x;
}
template<ranges::forward_range rng>
void Unique(rng &v) {
ranges::sort(v);
v.resize(unique(v.begin(), v.end()) - v.begin());
}
template<ranges::random_access_range rng>
rng invPerm(rng p) {
rng ret = p;
for(int i = 0; i < ssize(p); i++)
ret[p[i]] = i;
return ret;
}
template<ranges::random_access_range rng>
vi argSort(rng p) {
vi id(size(p));
iota(id.begin(), id.end(), 0);
ranges::sort(id, {}, [&](int i) { return pair(p[i], i); });
return id;
}
template<ranges::random_access_range rng, class T = ranges::range_value_t<rng>, typename F>
requires invocable<F, T&>
vi argSort(rng p, F proj) {
vi id(size(p));
iota(id.begin(), id.end(), 0);
ranges::sort(id, {}, [&](int i) { return pair(proj(p[i]), i); });
return id;
}
template<bool directed>
vvi read_graph(int n, int m, int base) {
vvi g(n);
for(int i = 0; i < m; i++) {
int u, v; cin >> u >> v;
u -= base, v -= base;
g[u].emplace_back(v);
if constexpr (!directed)
g[v].emplace_back(u);
}
return g;
}
template<bool directed>
vvi adjacency_list(int n, vc<pii> e, int base) {
vvi g(n);
for(auto [u, v] : e) {
u -= base, v -= base;
g[u].emplace_back(v);
if constexpr (!directed)
g[v].emplace_back(u);
}
return g;
}
template<class T>
vc<pii> equal_subarrays(vc<T> &v) {
vc<pii> lr;
for(int i = 0, j = 0; i < ssize(v); i = j) {
while(j < ssize(v) and v[i] == v[j]) j++;
lr.eb(i, j);
}
return lr;
}
template<class T, typename F>
requires invocable<F, T&>
vc<pii> equal_subarrays(vc<T> &v, F proj) {
vc<pii> lr;
for(int i = 0, j = 0; i < ssize(v); i = j) {
while(j < ssize(v) and proj(v[i]) == proj(v[j])) j++;
lr.eb(i, j);
}
return lr;
}
template<class T>
void setBit(T &msk, int bit, bool x) { (msk &= ~(T(1) << bit)) |= T(x) << bit; }
template<class T> void onBit(T &msk, int bit) { setBit(msk, bit, true); }
template<class T> void offBit(T &msk, int bit) { setBit(msk, bit, false); }
template<class T> void flipBit(T &msk, int bit) { msk ^= T(1) << bit; }
template<class T> bool getBit(T msk, int bit) { return msk >> bit & T(1); }
template<class T>
T floorDiv(T a, T b) {
if (b < 0) a *= -1, b *= -1;
return a >= 0 ? a / b : (a - b + 1) / b;
}
template<class T>
T ceilDiv(T a, T b) {
if (b < 0) a *= -1, b *= -1;
return a >= 0 ? (a + b - 1) / b : a / b;
}
template<class T> bool chmin(T &a, T b) { return a > b ? a = b, 1 : 0; }
template<class T> bool chmax(T &a, T b) { return a < b ? a = b, 1 : 0; }
//constantly used templates
struct HLD {
int n, root;
vi dep, sz, p, head, tin, tout, inv_tin, child_list, c, v_to_e;
vc<int32_t> lb;
inline int head_parent(int v) const { return p[head[v]]; }
HLD(vc<pii> e, int _root = 0) : root(_root) { precompute(e); }
HLD(vi _p) {
vc<pii> e;
root = -1;
for(int v = 0; v < ssize(_p); v++) {
if (_p[v] == -1 or _p[v] == v)
root = v;
else
e.eb(v, _p[v]);
}
assert(root != -1);
precompute(e);
}
void precompute(vc<pii> &e) {
n = ssize(e) + 1;
dep = p = head = tin = tout = v_to_e = vi(n);
sz = vi(n, 1);
vi mx_child_sz(n, -1);
{
vi d(n);
for(auto [u, v] : e)
p[u] ^= v, p[v] ^= u, d[u]++, d[v]++;
d[root] = 0;
for(int i = 0; i < n; i++) {
int v = i;
while(d[v] == 1) {
d[v] = 0, d[p[v]]--, p[p[v]] ^= v;
sz[p[v]] += sz[v];
chmax(mx_child_sz[p[v]], sz[v]);
v = p[v];
}
}
p[root] = root;
}
vi ord(n);
{
vi f(n + 2);
for(int x : sz) f[x + 1]++;
pSum(f);
for(int v = 0; v < n; v++)
ord[n - 1 - (f[sz[v]]++)] = v;
}
{
head[root] = root, tout[root] = n;
vi add(n, 1);
for(int v : ord | views::drop(1)) {
dep[v] = dep[p[v]] + 1;
tin[v] = tin[p[v]] + add[p[v]];
add[p[v]] += sz[v];
tout[v] = tin[v] + sz[v];
if (mx_child_sz[p[v]] == sz[v])
mx_child_sz[p[v]] = 0, head[v] = head[p[v]];
else
head[v] = v;
}
}
inv_tin = invPerm(tin);
lb = vc<int32_t>(n + 1);
child_list = vi(n + 1);
for(int v = 0; v < n; v++)
if (v != root)
lb[p[v]]++;
pSum(lb);
for(int v = 0; v < n; v++)
if (v != root and head[v] == v)
child_list[--lb[p[v]]] = v;
for(int v = 0; v < n; v++)
if (v != root and head[v] != v)
child_list[--lb[p[v]]] = v;
v_to_e[root] = -1;
for(int i = 0; auto [u, v] : e) {
if (dep[u] > dep[v]) swap(u, v);
v_to_e[v] = i++;
}
}
auto query_path(int u, int v, bool edge = false) {
vc<pii> lr;
while(head[u] != head[v]) {
if (dep[head[u]] > dep[head[v]])
swap(u, v);
lr.emplace_back(tin[head[v]], tin[v] + 1);
v = head_parent(v);
}
if (tin[u] > tin[v]) swap(u, v);
if (tin[u] + edge <= tin[v])
lr.emplace_back(tin[u] + edge, tin[v] + 1);
return lr;
}
//l < r: op(l, op(l + 1, ...))
//l > r: op(r - 1, op(r - 2, ...))
auto query_path_non_commutative(int u, int v, bool edge = false) {
vc<pii> lr1, lr2;
while(head[u] != head[v]) {
if (dep[head[u]] > dep[head[v]]) {
lr1.emplace_back(tin[u] + 1, tin[head[u]]);
u = head_parent(u);
} else {
lr2.emplace_back(tin[head[v]], tin[v] + 1);
v = head_parent(v);
}
}
if (tin[u] + edge <= tin[v])
lr2.emplace_back(tin[u] + edge, tin[v] + 1);
else if (tin[v] + edge <= tin[u])
lr1.emplace_back(tin[u] + 1, tin[v] + edge);
lr1.insert(end(lr1), lr2.rbegin(), lr2.rend());
return lr1;
}
auto query_subtree(int v) { return pii(tin[v], tout[v]); }
int query_point(int v) { return tin[v]; }
int lca(int u, int v) {
while(head[u] != head[v]) {
if (dep[head[u]] > dep[head[v]])
swap(u, v);
v = head_parent(v);
}
return tin[u] < tin[v] ? u : v;
}
int dis(int u, int v) {
return dep[u] + dep[v] - 2 * dep[lca(u, v)];
}
int kth(int s, int t, int k) {
int l = lca(s, t);
if (int d = dep[s] + dep[t] - 2 * dep[l]; k > d)
return -1;
else if (k > dep[s] - dep[l])
k = d - k, swap(s, t);
while(k > dep[s] - dep[head[s]]) {
k -= dep[s] - dep[head[s]] + 1;
s = head_parent(s);
}
return inv_tin[tin[s] - k];
}
int median(int u, int v, int w) {
return lca(u, v) ^ lca(u, w) ^ lca(v, w);
}
template<class M>
vc<M> reorder_init(vc<M> init) {
assert(ssize(init) == ssize(dep));
auto r = init;
for(int i = 0; i < ssize(init); i++)
r[tin[i]] = init[i];
return r;
}
const span<int> childs(int v) {
return span(child_list.begin() + lb[v], lb[v + 1] - lb[v]);
}
const span<int> light_childs(int v) {
return span(child_list.begin() + lb[v] + 1, max(lb[v + 1] - lb[v] - 1, 0));
}
inline int heavy_child(int v) {
return lb[v] == lb[v + 1] ? -1 : child_list[lb[v]];
}
inline int parent(int v) {
return p[v];
}
inline int depth(int v) { return dep[v]; }
inline int size(int v) { return sz[v]; }
bool in_subtree_of(int a, int b) { return tin[b] <= tin[a] and tout[a] <= tout[b]; }
const span<int> centroid() {
if (c.empty()) {
vc<bool> ok(n, true);
for(int v = 0; v < n; v++) {
if (2 * (n - sz[v]) > n)
ok[v] = false;
if (v != root and 2 * sz[v] > n)
ok[p[v]] = false;
}
for(int v = 0; v < n; v++)
if (ok[v])
c.eb(v);
}
return c;
}
inline int parent_eid(int v) { return v_to_e[v]; }
};
template<uint32_t mod>
struct Montgomery_modint {
using mint = Montgomery_modint;
using i32 = int32_t;
using u32 = uint32_t;
using u64 = uint64_t;
static constexpr u32 get_r() {
u32 res = 1, base = mod;
for(i32 i = 0; i < 31; i++)
res *= base, base *= base;
return -res;
}
static constexpr u32 get_mod() {
return mod;
}
static constexpr u32 n2 = -u64(mod) % mod; //2^64 % mod
static constexpr u32 r = get_r(); //-P^{-1} % 2^32
u32 a;
static u32 reduce(const u64 &b) {
return (b + u64(u32(b) * r) * mod) >> 32;
}
static u32 transform(const u64 &b) {
return reduce(u64(b) * n2);
}
Montgomery_modint() : a(0) {}
Montgomery_modint(const int64_t &b)
: a(transform(b % mod + mod)) {}
mint pow(u64 k) const {
mint res(1), base(*this);
while(k) {
if (k & 1)
res *= base;
base *= base, k >>= 1;
}
return res;
}
mint inverse() const { return (*this).pow(mod - 2); }
u32 get() const {
u32 res = reduce(a);
return res >= mod ? res - mod : res;
}
mint& operator+=(const mint &b) {
if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod;
return *this;
}
mint& operator-=(const mint &b) {
if (i32(a -= b.a) < 0) a += 2 * mod;
return *this;
}
mint& operator*=(const mint &b) {
a = reduce(u64(a) * b.a);
return *this;
}
mint& operator/=(const mint &b) {
a = reduce(u64(a) * b.inverse().a);
return *this;
}
mint operator-() { return mint() - mint(*this); }
bool operator==(mint b) const {
return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a);
}
bool operator!=(mint b) const {
return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a);
}
friend mint operator+(mint c, mint d) { return c += d; }
friend mint operator-(mint c, mint d) { return c -= d; }
friend mint operator*(mint c, mint d) { return c *= d; }
friend mint operator/(mint c, mint d) { return c /= d; }
friend ostream& operator<<(ostream& os, const mint& b) {
return os << b.get();
}
friend istream& operator>>(istream& is, mint& b) {
int64_t val;
is >> val;
b = mint(val);
return is;
}
};
//using mint = Montgomery_modint<1'000'000'007>;
using mint = Montgomery_modint<998'244'353>;
template<class T = int, typename F = void*>
struct doubling {
vvi jp;
vvc<T> data;
T id;
F op;
doubling(int LOG, vi to) : jp(LOG) {
jp[0].swap(to);
for(int i = 1; i < LOG; i++) {
jp[i] = jp[i - 1];
for(int &k : jp[i])
if (k != -1)
k = jp[i - 1][k];
}
}
doubling(int LOG, vi to, vc<T> init, T _id, F f)
requires R_invocable<T, F, T, T>
: jp(LOG), data(LOG), id(_id), op(f) {
jp[0].swap(to), data[0].swap(init);
for(int i = 1; i < LOG; i++) {
jp[i] = jp[i - 1], data[i] = data[i - 1];
for(int j = -1; int &k : jp[i]) {
j++;
if (k != -1) {
if (jp[i - 1][k] != -1)
data[i][j] = op(data[i][j], data[i - 1][k]);
k = jp[i - 1][k];
}
}
}
}
int jump(int v, uint64_t k) {
for(; k > 0 and v != -1; k -= k & (-k))
v = jp[countr_zero(k)][v];
return v;
}
pair<int, T> jump(int v, uint64_t k)
requires (!same_as<F, void*>) {
T prod = id;
for(; k > 0 and v != -1; k -= k & (-k)) {
if (jp[countr_zero(k)][v] != -1)
prod = op(prod, data[countr_zero(k)][v]);
v = jp[countr_zero(k)][v];
}
return pair(v, prod);
}
template<typename P>
requires R_invocable<bool, P, int>
int jump_while_true(int v, P pred) {
if (!pred(v)) return v;
for(int i = ssize(jp) - 1; i >= 0; i--) {
if (jp[i][v] == -1) continue;
if (pred(jp[i][v]))
v = jp[i][v];
}
return v;
}
template<typename P>
requires R_invocable<bool, P, int, T> && (!same_as<F, void*>)
pair<int, T> jump_while_true(int v, P pred) {
T prod = id;
if (!pred(v, prod)) return pair(v, prod);
for(int i = ssize(jp) - 1; i >= 0; i--) {
if (jp[i][v] == -1) continue;
if (T tmp = op(prod, data[i][v]); pred(jp[i][v], tmp))
prod = tmp, v = jp[i][v];
}
return pair(v, prod);
}
};
signed main() {
ios::sync_with_stdio(false), cin.tie(NULL);
int n; cin >> n;
vi h(n), t(n);
for(int &x : h) cin >> x;
for(int &x : t) cin >> x;
int q; cin >> q;
vc<pii> ab(q);
for(auto &[a, b] : ab) { cin >> a >> b; a--, b--; }
{
auto p = invPerm(argSort(h));
vi v(n);
for(int i = 0; i < n; i++)
v[p[i]] = h[i];
h.swap(v);
for(int i = 0; i < n; i++)
v[p[i]] = t[i];
t.swap(v);
for(auto &[a, b] : ab)
a = p[a], b = p[b];
}
vi argmax(n);
for(int i = 1; i < n; i++) {
argmax[i] = argmax[i - 1];
if (t[i] > t[argmax[i]])
argmax[i] = i;
}
vi to(n);
for(int i = 0; i < n; i++)
to[i] = argmax[ranges::upper_bound(h, t[i]) - h.begin() - 1];
for(int i = 0; i < n; i++)
if (t[to[i]] <= t[i])
to[i] = -1;
doubling db(18, to, vi(n, 1), 0, [](int a, int b) { return a + b; });
dbg(to);
for(auto [a, b] : ab) {
dbg(a, b);
auto [v, step] = db.jump_while_true(a, [&](int x, int) { return t[x] < h[b]; });
if (t[a] >= h[b])
cout << 1 << '\n';
else if (to[v] == -1)
cout << -1 << '\n';
else
cout << step + 2 << '\n';
}
return 0;
}