結果
| 問題 | No.2242 Cities and Teleporters |
| ユーザー |
 maspy
|
| 提出日時 | 2024-09-09 03:09:59 |
| 言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 620 ms / 3,000 ms |
| コード長 | 22,362 bytes |
| コンパイル時間 | 5,970 ms |
| コンパイル使用メモリ | 315,976 KB |
| 実行使用メモリ | 44,332 KB |
| 最終ジャッジ日時 | 2024-09-09 03:10:19 |
| 合計ジャッジ時間 | 19,389 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge3 |
（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
6,816 KB |
| testcase_01 | AC | 2 ms
6,940 KB |
| testcase_02 | AC | 3 ms
6,940 KB |
| testcase_03 | AC | 3 ms
6,940 KB |
| testcase_04 | AC | 3 ms
6,940 KB |
| testcase_05 | AC | 474 ms
44,208 KB |
| testcase_06 | AC | 392 ms
44,204 KB |
| testcase_07 | AC | 499 ms
44,204 KB |
| testcase_08 | AC | 620 ms
44,332 KB |
| testcase_09 | AC | 424 ms
44,328 KB |
| testcase_10 | AC | 233 ms
44,332 KB |
| testcase_11 | AC | 340 ms
44,136 KB |
| testcase_12 | AC | 357 ms
44,132 KB |
| testcase_13 | AC | 356 ms
44,264 KB |
| testcase_14 | AC | 405 ms
44,136 KB |
| testcase_15 | AC | 379 ms
44,260 KB |
| testcase_16 | AC | 418 ms
44,136 KB |
| testcase_17 | AC | 506 ms
44,140 KB |
| testcase_18 | AC | 345 ms
43,640 KB |
| testcase_19 | AC | 474 ms
43,340 KB |
| testcase_20 | AC | 333 ms
42,212 KB |
| testcase_21 | AC | 327 ms
42,380 KB |
| testcase_22 | AC | 466 ms
42,320 KB |
| testcase_23 | AC | 524 ms
44,132 KB |
| testcase_24 | AC | 502 ms
44,140 KB |
| testcase_25 | AC | 497 ms
44,136 KB |
ソースコード
#line 1 "main.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/2242"
#line 1 "library/my_template.hpp"
#if defined(LOCAL)
#include <my_template_compiled.hpp>
#else
// https://codeforces.com/blog/entry/96344
#pragma GCC optimize("Ofast,unroll-loops")
// いまの CF だとこれ入れると動かない？
// #pragma GCC target("avx2,popcnt")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
using u128 = unsigned __int128;
using f128 = __float128;
template <class T>
constexpr T infty = 0;
template <>
constexpr int infty<int> = 1'010'000'000;
template <>
constexpr ll infty<ll> = 2'020'000'000'000'000'000;
template <>
constexpr u32 infty<u32> = infty<int>;
template <>
constexpr u64 infty<u64> = infty<ll>;
template <>
constexpr i128 infty<i128> = i128(infty<ll>) * 2'000'000'000'000'000'000;
template <>
constexpr double infty<double> = infty<ll>;
template <>
constexpr long double infty<long double> = infty<ll>;
using pi = pair<ll, ll>;
using vi = vector<ll>;
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 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 overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, 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
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); }
int popcnt_mod_2(int x) { return __builtin_parity(x); }
int popcnt_mod_2(u32 x) { return __builtin_parity(x); }
int popcnt_mod_2(ll x) { return __builtin_parityll(x); }
int popcnt_mod_2(u64 x) { return __builtin_parityll(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 floor(T a, T b) {
return a / b - (a % b && (a ^ b) < 0);
}
template <typename T>
T ceil(T x, T y) {
return floor(x + y - 1, y);
}
template <typename T>
T bmod(T x, T y) {
return x - y * floor(x, y);
}
template <typename T>
pair<T, T> divmod(T x, T y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename T, typename U>
T SUM(const vector<U> &A) {
T sm = 0;
for (auto &&a: A) sm += a;
return sm;
}
#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()
template <typename T>
T POP(deque<T> &que) {
T a = que.front();
que.pop_front();
return a;
}
template <typename T>
T POP(pq<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T POP(pqg<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T POP(vc<T> &que) {
T a = que.back();
que.pop_back();
return a;
}
template <typename F>
ll binary_search(F check, ll ok, ll ng, bool check_ok = true) {
if (check_ok) assert(check(ok));
while (abs(ok - ng) > 1) {
auto x = (ng + ok) / 2;
(check(x) ? ok : ng) = 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;
(check(x) ? ok : ng) = 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);
}
// ? は -1
vc<int> s_to_vi(const string &S, char first_char) {
vc<int> A(S.size());
FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); }
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;
}
// stable sort
template <typename T>
vector<int> argsort(const vector<T> &A) {
vector<int> ids(len(A));
iota(all(ids), 0);
sort(all(ids), [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
vc<T> B(len(I));
FOR(i, len(I)) B[i] = A[I[i]];
return B;
}
template <typename T, typename... Vectors>
void concat(vc<T> &first, const Vectors &... others) {
vc<T> &res = first;
(res.insert(res.end(), others.begin(), others.end()), ...);
}
#endif
#line 1 "library/other/io.hpp"
#define FASTIO
#include <unistd.h>
// https://judge.yosupo.jp/submission/21623
namespace fastio {
static constexpr uint32_t SZ = 1 << 17;
char ibuf[SZ];
char obuf[SZ];
char out[100];
// pointer of ibuf, obuf
uint32_t pil = 0, pir = 0, por = 0;
struct Pre {
char num[10000][4];
constexpr Pre() : num() {
for (int i = 0; i < 10000; i++) {
int n = i;
for (int j = 3; j >= 0; j--) {
num[i][j] = n % 10 | '0';
n /= 10;
}
}
}
} constexpr pre;
inline void load() {
memcpy(ibuf, ibuf + pil, pir - pil);
pir = pir - pil + fread(ibuf + pir - pil, 1, SZ - pir + pil, stdin);
pil = 0;
if (pir < SZ) ibuf[pir++] = '\n';
}
inline void flush() {
fwrite(obuf, 1, por, stdout);
por = 0;
}
void rd(char &c) {
do {
if (pil + 1 > pir) load();
c = ibuf[pil++];
} while (isspace(c));
}
void rd(string &x) {
x.clear();
char c;
do {
if (pil + 1 > pir) load();
c = ibuf[pil++];
} while (isspace(c));
do {
x += c;
if (pil == pir) load();
c = ibuf[pil++];
} while (!isspace(c));
}
template <typename T>
void rd_real(T &x) {
string s;
rd(s);
x = stod(s);
}
template <typename T>
void rd_integer(T &x) {
if (pil + 100 > pir) load();
char c;
do
c = ibuf[pil++];
while (c < '-');
bool minus = 0;
if constexpr (is_signed<T>::value || is_same_v<T, i128>) {
if (c == '-') { minus = 1, c = ibuf[pil++]; }
}
x = 0;
while ('0' <= c) { x = x * 10 + (c & 15), c = ibuf[pil++]; }
if constexpr (is_signed<T>::value || is_same_v<T, i128>) {
if (minus) x = -x;
}
}
void rd(int &x) { rd_integer(x); }
void rd(ll &x) { rd_integer(x); }
void rd(i128 &x) { rd_integer(x); }
void rd(u32 &x) { rd_integer(x); }
void rd(u64 &x) { rd_integer(x); }
void rd(u128 &x) { rd_integer(x); }
void rd(double &x) { rd_real(x); }
void rd(long double &x) { rd_real(x); }
void rd(f128 &x) { rd_real(x); }
template <class T, class U>
void rd(pair<T, U> &p) {
return rd(p.first), rd(p.second);
}
template <size_t N = 0, typename T>
void rd_tuple(T &t) {
if constexpr (N < std::tuple_size<T>::value) {
auto &x = std::get<N>(t);
rd(x);
rd_tuple<N + 1>(t);
}
}
template <class... T>
void rd(tuple<T...> &tpl) {
rd_tuple(tpl);
}
template <size_t N = 0, typename T>
void rd(array<T, N> &x) {
for (auto &d: x) rd(d);
}
template <class T>
void rd(vc<T> &x) {
for (auto &d: x) rd(d);
}
void read() {}
template <class H, class... T>
void read(H &h, T &... t) {
rd(h), read(t...);
}
void wt(const char c) {
if (por == SZ) flush();
obuf[por++] = c;
}
void wt(const string s) {
for (char c: s) wt(c);
}
void wt(const char *s) {
size_t len = strlen(s);
for (size_t i = 0; i < len; i++) wt(s[i]);
}
template <typename T>
void wt_integer(T x) {
if (por > SZ - 100) flush();
if (x < 0) { obuf[por++] = '-', x = -x; }
int outi;
for (outi = 96; x >= 10000; outi -= 4) {
memcpy(out + outi, pre.num[x % 10000], 4);
x /= 10000;
}
if (x >= 1000) {
memcpy(obuf + por, pre.num[x], 4);
por += 4;
} else if (x >= 100) {
memcpy(obuf + por, pre.num[x] + 1, 3);
por += 3;
} else if (x >= 10) {
int q = (x * 103) >> 10;
obuf[por] = q | '0';
obuf[por + 1] = (x - q * 10) | '0';
por += 2;
} else
obuf[por++] = x | '0';
memcpy(obuf + por, out + outi + 4, 96 - outi);
por += 96 - outi;
}
template <typename T>
void wt_real(T x) {
ostringstream oss;
oss << fixed << setprecision(15) << double(x);
string s = oss.str();
wt(s);
}
void wt(int x) { wt_integer(x); }
void wt(ll x) { wt_integer(x); }
void wt(i128 x) { wt_integer(x); }
void wt(u32 x) { wt_integer(x); }
void wt(u64 x) { wt_integer(x); }
void wt(u128 x) { wt_integer(x); }
void wt(double x) { wt_real(x); }
void wt(long double x) { wt_real(x); }
void wt(f128 x) { wt_real(x); }
template <class T, class U>
void wt(const pair<T, U> val) {
wt(val.first);
wt(' ');
wt(val.second);
}
template <size_t N = 0, typename T>
void wt_tuple(const T t) {
if constexpr (N < std::tuple_size<T>::value) {
if constexpr (N > 0) { wt(' '); }
const auto x = std::get<N>(t);
wt(x);
wt_tuple<N + 1>(t);
}
}
template <class... T>
void wt(tuple<T...> tpl) {
wt_tuple(tpl);
}
template <class T, size_t S>
void wt(const array<T, S> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) wt(' ');
wt(val[i]);
}
}
template <class T>
void wt(const vector<T> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) wt(' ');
wt(val[i]);
}
}
void print() { wt('\n'); }
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
wt(head);
if (sizeof...(Tail)) wt(' ');
print(forward<Tail>(tail)...);
}
// gcc expansion. called automaticall after main.
void __attribute__((destructor)) _d() { flush(); }
} // namespace fastio
using fastio::read;
using fastio::print;
using fastio::flush;
#if defined(LOCAL)
#define SHOW(...) SHOW_IMPL(__VA_ARGS__, SHOW6, SHOW5, SHOW4, SHOW3, SHOW2, SHOW1)(__VA_ARGS__)
#define SHOW_IMPL(_1, _2, _3, _4, _5, _6, NAME, ...) NAME
#define SHOW1(x) print(#x, "=", (x)), flush()
#define SHOW2(x, y) print(#x, "=", (x), #y, "=", (y)), flush()
#define SHOW3(x, y, z) print(#x, "=", (x), #y, "=", (y), #z, "=", (z)), flush()
#define SHOW4(x, y, z, w) print(#x, "=", (x), #y, "=", (y), #z, "=", (z), #w, "=", (w)), flush()
#define SHOW5(x, y, z, w, v) print(#x, "=", (x), #y, "=", (y), #z, "=", (z), #w, "=", (w), #v, "=", (v)), flush()
#define SHOW6(x, y, z, w, v, u) print(#x, "=", (x), #y, "=", (y), #z, "=", (z), #w, "=", (w), #v, "=", (v), #u, "=", (u)), flush()
#else
#define SHOW(...)
#endif
#define INT(...) \
int __VA_ARGS__; \
read(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
read(__VA_ARGS__)
#define U32(...) \
u32 __VA_ARGS__; \
read(__VA_ARGS__)
#define U64(...) \
u64 __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 "library/ds/segtree/dynamic_segtree_sparse.hpp"
// 常にほとんどの要素が unit であることが保証されるような動的セグ木
// したがって、default_prod の類は持たせられず、acted monoid も一般には扱えない
// 追加 N 回のときノード数 N 以下が保証される
template <typename Monoid, bool PERSISTENT>
struct Dynamic_SegTree_Sparse {
using MX = Monoid;
using X = typename MX::value_type;
struct Node {
ll idx;
Node *l, *r;
X prod, x;
};
const int NODES;
const ll L0, R0;
Node *pool;
int pid;
using np = Node *;
vc<np> FREE;
Dynamic_SegTree_Sparse(int NODES, ll L0, ll R0) : NODES(NODES), L0(L0), R0(R0), pid(0) { pool = new Node[NODES]; }
~Dynamic_SegTree_Sparse() { delete[] pool; }
// 木 dp のマージのときなどに使用すると MLE 回避できることがある
// https://codeforces.com/problemset/problem/671/D
void free_subtree(np c) {
auto dfs = [&](auto &dfs, np c) -> void {
if (c->l) dfs(dfs, c->l);
if (c->r) dfs(dfs, c->r);
FREE.eb(c);
};
dfs(dfs, c);
}
np new_root() { return nullptr; }
np new_node(ll idx, const X x) {
if (!FREE.empty()) {
np c = POP(FREE);
c->idx = idx, c->l = c->r = nullptr;
c->prod = c->x = x;
return c;
}
assert(pid < NODES);
pool[pid].idx = idx;
pool[pid].l = pool[pid].r = nullptr;
pool[pid].x = pool[pid].prod = x;
return &(pool[pid++]);
}
X prod(np root, ll l, ll r) {
assert(L0 <= l && l <= r && r <= R0);
if (l == r) return MX::unit();
X x = MX::unit();
prod_rec(root, L0, R0, l, r, x);
return x;
}
X prod_all(np root) { return prod(root, L0, R0); }
np set(np root, ll i, const X &x) {
assert(L0 <= i && i < R0);
return set_rec(root, L0, R0, i, x);
}
np multiply(np root, ll i, const X &x) {
assert(L0 <= i && i < R0);
return multiply_rec(root, L0, R0, i, x);
}
template <typename F>
ll max_right(np root, F check, ll L) {
assert(L0 <= L && L <= R0 && check(MX::unit()));
X x = MX::unit();
return max_right_rec(root, check, L0, R0, L, x);
}
template <typename F>
ll min_left(np root, F check, ll R) {
assert(L0 <= R && R <= R0 && check(MX::unit()));
X x = MX::unit();
return min_left_rec(root, check, L0, R0, R, x);
}
void reset() {
pid = 0;
FREE.clear();
}
vc<pair<ll, X>> get_all(np root) {
vc<pair<ll, X>> res;
auto dfs = [&](auto &dfs, np c) -> void {
if (!c) return;
dfs(dfs, c->l);
res.eb(c->idx, c->x);
dfs(dfs, c->r);
};
dfs(dfs, root);
return res;
}
X get(np root, ll idx) {
auto dfs = [&](auto &dfs, np c) -> X {
if (!c) return Monoid::unit();
if (idx == c->idx) return c->x;
if (idx < (c->idx)) return dfs(dfs, c->l);
return dfs(dfs, c->r);
};
return dfs(dfs, root);
}
private:
void update(np c) {
c->prod = c->x;
if (c->l) c->prod = MX::op(c->l->prod, c->prod);
if (c->r) c->prod = MX::op(c->prod, c->r->prod);
}
np copy_node(np c) {
if (!c || !PERSISTENT) return c;
assert(pid < NODES);
pool[pid].idx = c->idx;
pool[pid].l = c->l;
pool[pid].r = c->r;
pool[pid].x = c->x;
pool[pid].prod = c->prod;
return &(pool[pid++]);
}
np set_rec(np c, ll l, ll r, ll i, X x) {
if (!c) {
c = new_node(i, x);
return c;
}
c = copy_node(c);
if (c->idx == i) {
c->x = x;
update(c);
return c;
}
ll m = (l + r) / 2;
if (i < m) {
if (c->idx < i) swap(c->idx, i), swap(c->x, x);
c->l = set_rec(c->l, l, m, i, x);
}
if (m <= i) {
if (i < c->idx) swap(c->idx, i), swap(c->x, x);
c->r = set_rec(c->r, m, r, i, x);
}
update(c);
return c;
}
np multiply_rec(np c, ll l, ll r, ll i, X x) {
if (!c) {
c = new_node(i, x);
return c;
}
c = copy_node(c);
if (c->idx == i) {
c->x = MX::op(c->x, x);
update(c);
return c;
}
ll m = (l + r) / 2;
if (i < m) {
if (c->idx < i) swap(c->idx, i), swap(c->x, x);
c->l = multiply_rec(c->l, l, m, i, x);
}
if (m <= i) {
if (i < c->idx) swap(c->idx, i), swap(c->x, x);
c->r = multiply_rec(c->r, m, r, i, x);
}
update(c);
return c;
}
void prod_rec(np c, ll l, ll r, ll ql, ll qr, X &x) {
chmax(ql, l);
chmin(qr, r);
if (ql >= qr || !c) return;
if (l == ql && r == qr) {
x = MX::op(x, c->prod);
return;
}
ll m = (l + r) / 2;
prod_rec(c->l, l, m, ql, qr, x);
if (ql <= (c->idx) && (c->idx) < qr) x = MX::op(x, c->x);
prod_rec(c->r, m, r, ql, qr, x);
}
template <typename F>
ll max_right_rec(np c, const F &check, ll l, ll r, ll ql, X &x) {
if (!c || r <= ql) return R0;
if (check(MX::op(x, c->prod))) {
x = MX::op(x, c->prod);
return R0;
}
ll m = (l + r) / 2;
ll k = max_right_rec(c->l, check, l, m, ql, x);
if (k != R0) return k;
if (ql <= (c->idx)) {
x = MX::op(x, c->x);
if (!check(x)) return c->idx;
}
return max_right_rec(c->r, check, m, r, ql, x);
}
template <typename F>
ll min_left_rec(np c, const F &check, ll l, ll r, ll qr, X &x) {
if (!c || qr <= l) return L0;
if (check(MX::op(c->prod, x))) {
x = MX::op(c->prod, x);
return L0;
}
ll m = (l + r) / 2;
ll k = min_left_rec(c->r, check, m, r, qr, x);
if (k != L0) return k;
if (c->idx < qr) {
x = MX::op(c->x, x);
if (!check(x)) return c->idx + 1;
}
return min_left_rec(c->l, check, l, m, qr, x);
}
};
#line 2 "library/alg/monoid/max.hpp"
template <typename E>
struct Monoid_Max {
using X = E;
using value_type = X;
static constexpr X op(const X &x, const X &y) noexcept { return max(x, y); }
static constexpr X unit() { return -infty<E>; }
static constexpr bool commute = true;
};
#line 2 "library/alg/monoid/add.hpp"
template <typename E>
struct Monoid_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 "library/ds/doubling.hpp"
// 状態 a から 1 回操作すると、状態 b に遷移し、モノイドの元 x を加える。
// 行き先がない場合：-1 （add 不要）
template <typename Monoid, int LOG>
struct Doubling {
using X = typename Monoid::value_type;
int N;
bool is_prepared;
vvc<int> TO;
vvc<X> DP;
Doubling(int N) : N(N), is_prepared(0) {
TO.assign(LOG, vc<int>(N, -1));
DP.assign(LOG, vc<X>(N, Monoid::unit()));
}
void add(int i, int to, X x) {
assert(!is_prepared);
assert(-1 <= to && to < N);
TO[0][i] = to;
DP[0][i] = x;
}
void build() {
assert(!is_prepared);
is_prepared = 1;
FOR(k, LOG - 1) {
FOR(v, N) {
int w = TO[k][v];
if (w == -1) {
TO[k + 1][v] = -1;
DP[k + 1][v] = DP[k][v];
continue;
}
TO[k + 1][v] = TO[k][w];
DP[k + 1][v] = Monoid::op(DP[k][v], DP[k][w]);
}
}
}
// (to, val)
pair<int, X> calc(int i, ll step) {
assert(is_prepared);
assert(0 <= step && step < (1LL << LOG));
X x = Monoid::unit();
while (step && i != -1) {
int k = topbit(step);
step ^= 1LL << k;
x = Monoid::op(x, DP[k][i]);
i = TO[k][i];
}
return {i, x};
}
// check(to, monoid_sum)
template <typename F>
ll max_step(F check, int i) {
assert(is_prepared);
X x = Monoid::unit();
ll step = 0;
assert(check(i, x));
FOR_R(k, LOG) {
int j = TO[k][i];
if (j == -1) continue;
X y = Monoid::op(x, DP[k][i]);
if (check(j, y)) {
step |= 1LL << k;
i = j;
x = y;
assert(i != -1);
}
}
return step;
}
void debug() {
print("TO");
FOR(k, LOG) print(TO[k]);
print("DP");
FOR(k, LOG) print(DP[k]);
}
};
#line 7 "main.cpp"
void solve() {
/*
T を増やしていく → 最後に目的のところに行く
欲しいもの：
T → H<=T に対する max T
*/
LL(N);
VEC(int, H, N);
VEC(int, T, N);
Dynamic_SegTree_Sparse<Monoid_Max<int>, 0> seg(N, 0, infty<int> + 10);
auto root = seg.new_root();
FOR(i, N) { root = seg.multiply(root, H[i], T[i]); }
auto X = T;
UNIQUE(X);
int n = len(X);
Doubling<Monoid_Add<int>, 20> D(n);
FOR(i, n) {
int x = X[i];
int y = seg.prod(root, 0, X[i] + 1);
chmax(y, x);
int to = LB(X, y);
D.add(i, to, to - i);
}
D.build();
auto F = [&](int a, int b) -> int {
if (a == b) return 0;
// T >= h となる最小
int s = LB(X, T[a]);
int t = LB(X, H[b]);
if (s >= t) { return 1; }
auto check = [&](int i, auto e) -> bool { return e < t - s; };
ll step = D.max_step(check, s);
ll ANS = step + 2;
if (ANS > N) ANS = -1;
return ANS;
};
INT(Q);
FOR(Q) {
INT(a, b);
--a, --b;
print(F(a, b));
}
}
signed main() {
solve();
return 0;
}