結果
| 問題 | No.1778 括弧列クエリ / Bracketed Sequence Query |
| ユーザー |
 noimi
|
| 提出日時 | 2021-12-07 00:11:49 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 99 ms / 2,000 ms |
| コード長 | 26,800 bytes |
| コンパイル時間 | 3,883 ms |
| コンパイル使用メモリ | 352,548 KB |
| 実行使用メモリ | 19,896 KB |
| 最終ジャッジ日時 | 2024-07-07 09:53:40 |
| 合計ジャッジ時間 | 7,896 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / 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 | 48 ms
5,248 KB |
| testcase_01 | AC | 50 ms
5,376 KB |
| testcase_02 | AC | 49 ms
5,376 KB |
| testcase_03 | AC | 43 ms
5,376 KB |
| testcase_04 | AC | 51 ms
5,376 KB |
| testcase_05 | AC | 49 ms
7,656 KB |
| testcase_06 | AC | 28 ms
5,376 KB |
| testcase_07 | AC | 8 ms
5,632 KB |
| testcase_08 | AC | 99 ms
14,012 KB |
| testcase_09 | AC | 17 ms
6,960 KB |
| testcase_10 | AC | 48 ms
11,340 KB |
| testcase_11 | AC | 40 ms
8,796 KB |
| testcase_12 | AC | 52 ms
7,664 KB |
| testcase_13 | AC | 95 ms
13,732 KB |
| testcase_14 | AC | 45 ms
10,492 KB |
| testcase_15 | AC | 1 ms
6,940 KB |
| testcase_16 | AC | 97 ms
14,016 KB |
| testcase_17 | AC | 96 ms
14,016 KB |
| testcase_18 | AC | 96 ms
14,024 KB |
| testcase_19 | AC | 97 ms
14,016 KB |
| testcase_20 | AC | 96 ms
14,024 KB |
| testcase_21 | AC | 2 ms
6,944 KB |
| testcase_22 | AC | 1 ms
6,940 KB |
| testcase_23 | AC | 64 ms
12,404 KB |
| testcase_24 | AC | 68 ms
14,764 KB |
| testcase_25 | AC | 81 ms
14,912 KB |
| testcase_26 | AC | 90 ms
19,896 KB |
| testcase_27 | AC | 74 ms
19,728 KB |
ソースコード
#pragma region Macros
//#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma comment(linker, "/stack:200000000")
#ifdef ONLINE_JUDGE
#pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,fma,abm,mmx,avx,avx2,tune=native")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,fma,abm,mmx,avx,avx2")
// #pragma GCC target("avx2")
#endif
#pragma GCC optimize("Ofast")
#ifdef noimi
#define oj_local(a, b) b
#else
#define oj_local(a, b) a
#endif
#define LOCAL if(oj_local(0, 1))
#define OJ if(oj_local(1, 0))
#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 <immintrin.h>
#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>
using namespace std;
using ll = long long;
using ull = unsigned long long int;
using i128 = __int128_t;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using ld = long double;
template <typename T> using vc = vector<T>;
template <typename T> using vvc = vector<vc<T>>;
template <typename T> using vvvc = vector<vvc<T>>;
using vi = vc<int>;
using vl = vc<ll>;
using vpi = vc<pii>;
using vpl = vc<pll>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
template <typename T> int si(const T &x) { return x.size(); }
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); }
vi iota(int n) {
vi a(n);
return iota(a.begin(), a.end(), 0), a;
}
template <typename T> vi iota(const vector<T> &a, bool greater = false) {
vi res(a.size());
iota(res.begin(), res.end(), 0);
sort(res.begin(), res.end(), [&](int i, int j) {
if(greater) return a[i] > a[j];
return a[i] < a[j];
});
return res;
}
// macros
#define overload5(a, b, c, d, e, name, ...) name
#define overload4(a, b, c, d, name, ...) name
#define endl '\n'
#define rep0(n) for(int jidlsjf = 0; jidlsjf < n; ++jidlsjf)
#define rep1(i, n) for(ll i = 0; i < (n); ++i)
#define rep2(i, a, b) for(ll i = (a); i < (b); ++i)
#define rep3(i, a, b, c) for(ll i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep3, rep2, rep1, rep0)(__VA_ARGS__)
#define per0(n) for(int jidlsjf = 0; jidlsjf < n; ++jidlsjf)
#define per1(i, n) for(ll i = (n)-1; i >= 0; --i)
#define per2(i, a, b) for(ll i = (a)-1; i >= b; --i)
#define per3(i, a, b, c) for(ll i = (a)-1; i >= b; i -= c)
#define per(...) overload4(__VA_ARGS__, per3, per2, per1, per0)(__VA_ARGS__)
#define fore0(a) rep(a.size())
#define fore1(i, a) for(auto &&i : a)
#define fore2(a, b, v) for(auto &&[a, b] : v)
#define fore3(a, b, c, v) for(auto &&[a, b, c] : v)
#define fore4(a, b, c, d, v) for(auto &&[a, b, c, d] : v)
#define fore(...) overload5(__VA_ARGS__, fore4, fore3, fore2, fore1, fore0)(__VA_ARGS__)
#define fi first
#define se second
#define pb push_back
#define ppb pop_back
#define ppf pop_front
#define eb emplace_back
#define drop(s) cout << #s << endl, exit(0)
#define si(c) (int)(c).size()
#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 all(c) begin(c), end(c)
#define rall(c) rbegin(c), rend(c)
#define SORT(v) sort(all(v))
#define REV(v) reverse(all(v))
#define UNIQUE(x) SORT(x), x.erase(unique(all(x)), x.end())
template <typename T = ll, typename S> T SUM(const S &v) { return accumulate(all(v), T(0)); }
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define overload2(_1, _2, name, ...) name
#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__))))
constexpr pii dx4[4] = {pii{1, 0}, pii{0, 1}, pii{-1, 0}, pii{0, -1}};
constexpr pii dx8[8] = {{1, 0}, {1, 1}, {0, 1}, {-1, 1}, {-1, 0}, {-1, -1}, {0, -1}, {1, -1}};
namespace yesno_impl {
const string YESNO[2] = {"NO", "YES"};
const string YesNo[2] = {"No", "Yes"};
const string yesno[2] = {"no", "yes"};
const string firstsecond[2] = {"second", "first"};
const string FirstSecond[2] = {"Second", "First"};
const string possiblestr[2] = {"impossible", "possible"};
void YES(bool t = 1) { cout << YESNO[t] << endl; }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { cout << YesNo[t] << endl; }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { cout << yesno[t] << endl; }
void no(bool t = 1) { yes(!t); }
void first(bool t = 1) { cout << firstsecond[t] << endl; }
void First(bool t = 1) { cout << FirstSecond[t] << endl; }
void possible(bool t = 1) { cout << possiblestr[t] << endl; }
}; // namespace yesno_impl
using namespace yesno_impl;
#define INT(...) \
int __VA_ARGS__; \
IN(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
IN(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
IN(__VA_ARGS__)
#define CHR(...) \
char __VA_ARGS__; \
IN(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
IN(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
IN(name)
#define VEC2(type, name1, name2, size) \
vector<type> name1(size), name2(size); \
for(int i = 0; i < size; i++) IN(name1[i], name2[i])
#define VEC3(type, name1, name2, name3, size) \
vector<type> name1(size), name2(size), name3(size); \
for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i])
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
IN(name)
int scan() { return getchar(); }
void scan(int &a) { cin >> a; }
void scan(long long &a) { cin >> a; }
void scan(char &a) { cin >> a; }
void scan(double &a) { cin >> a; }
void scan(string &a) { cin >> a; }
template <class T, class S> void scan(pair<T, S> &p) { scan(p.first), scan(p.second); }
template <class T> void scan(vector<T> &);
template <class T> void scan(vector<T> &a) {
for(auto &i : a) scan(i);
}
template <class T> void scan(T &a) { cin >> a; }
void IN() {}
template <class Head, class... Tail> void IN(Head &head, Tail &...tail) {
scan(head);
IN(tail...);
}
template <typename T, typename S> T ceil(T x, S y) {
assert(y);
return (y < 0 ? ceil(-x, -y) : (x > 0 ? (x + y - 1) / y : x / y));
}
template <typename T, typename S> T floor(T x, S y) {
assert(y);
return (y < 0 ? floor(-x, -y) : (x > 0 ? x / y : x / y - (x % y == 0 ? 0 : 1)));
}
template <class T> T POW(T x, int n) {
T res = 1;
for(; n; n >>= 1, x *= x)
if(n & 1) res *= x;
return res;
}
template <class T, class S> T POW(T x, S n, const ll &mod) {
T res = 1;
x %= mod;
for(; n; n >>= 1, x = x * x % mod)
if(n & 1) res = res * x % mod;
return res;
}
vector<pll> factor(ll x) {
vector<pll> ans;
for(ll i = 2; i * i <= x; i++)
if(x % i == 0) {
ans.push_back({i, 1});
while((x /= i) % i == 0) ans.back().second++;
}
if(x != 1) ans.push_back({x, 1});
return ans;
}
template <class T> vector<T> divisor(T x) {
vector<T> ans;
for(T i = 1; i * i <= x; i++)
if(x % i == 0) {
ans.pb(i);
if(i * i != x) ans.pb(x / i);
}
return ans;
}
template <typename T> void zip(vector<T> &x) {
vector<T> y = x;
UNIQUE(y);
for(int i = 0; i < x.size(); ++i) { x[i] = lb(y, x[i]); }
}
template <class S> void fold_in(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void fold_in(vector<S> &v, Head &&a, Tail &&...tail) {
for(auto e : a) v.emplace_back(e);
fold_in(v, tail...);
}
template <class S> void renumber(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void renumber(vector<S> &v, Head &&a, Tail &&...tail) {
for(auto &&e : a) e = lb(v, e);
renumber(v, tail...);
}
template <class S, class... Args> vector<S> zip(vector<S> &head, Args &&...args) {
vector<S> v;
fold_in(v, head, args...);
sort(all(v)), v.erase(unique(all(v)), v.end());
renumber(v, head, args...);
return v;
}
template <typename T> vector<T> RUI(const vector<T> &v) {
vector<T> res(v.size() + 1);
for(int i = 0; i < v.size(); i++) res[i + 1] = res[i] + v[i];
return res;
}
// x in [l, r)
template <class T, class S> bool inc(const T &x, const S &l, const S &r) { return l <= x and x < r; }
constexpr ll ten(int n) { return n == 0 ? 1 : ten(n - 1) * 10; }
// bit 演算系
ll pow2(int i) { return 1LL << i; }
int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int lowbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); }
// int allbit(int n) { return (1 << n) - 1; }
constexpr ll mask(int n) { return (1LL << n) - 1; }
// int popcount(signed t) { return __builtin_popcount(t); }
// int popcount(ll t) { return __builtin_popcountll(t); }
int popcount(uint64_t t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }
ll rnd(ll l, ll r) { //[l, r)
#ifdef noimi
static mt19937_64 gen;
#else
static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
#endif
return uniform_int_distribution<ll>(l, r - 1)(gen);
}
ll rnd(ll n) { return rnd(0, n); }
template <class t> void random_shuffle(vc<t> &a) { rep(i, si(a)) swap(a[i], a[rnd(0, i + 1)]); }
int in() {
int x;
cin >> x;
return x;
}
ll lin() {
unsigned long long x;
cin >> x;
return x;
}
template <class T, class S> pair<T, S> operator-(const pair<T, S> &x, const pair<T, S> &y) { return pair<T, S>(x.fi - y.fi, x.se - y.se); }
template <class T, class S> pair<T, S> operator+(const pair<T, S> &x, const pair<T, S> &y) { return pair<T, S>(x.fi + y.fi, x.se + y.se); }
template <class T> pair<T, T> operator&(const pair<T, T> &l, const pair<T, T> &r) { return pair<T, T>(max(l.fi, r.fi), min(l.se, r.se)); }
template <class T, class S> pair<T, S> operator+=(pair<T, S> &l, const pair<T, S> &r) { return l = l + r; }
template <class T, class S> pair<T, S> operator-=(pair<T, S> &l, const pair<T, S> &r) { return l = l - r; }
template <class T> bool intersect(const pair<T, T> &l, const pair<T, T> &r) { return (l.se < r.se ? r.fi < l.se : l.fi < r.se); }
template <typename T> struct edge {
int from, to;
T cost;
int id;
edge(int to, T cost) : from(-1), to(to), cost(cost) {}
edge(int from, int to, T cost) : from(from), to(to), cost(cost) {}
edge(int from, int to, T cost, int id) : from(from), to(to), cost(cost), id(id) {}
constexpr bool operator<(const edge<T> &rhs) const noexcept { return cost < rhs.cost; }
edge &operator=(const int &x) {
to = x;
return *this;
}
operator int() const { return to; }
friend ostream operator<<(ostream &os, edge &e) { return os << e.to; }
};
template <typename T> using Edges = vector<edge<T>>;
using Tree = vector<vector<int>>;
using Graph = vector<vector<int>>;
template <class T> using Wgraph = vector<vector<edge<T>>>;
Graph getG(int n, int m = -1, bool directed = false, int margin = 1) {
Tree res(n);
if(m == -1) m = n - 1;
while(m--) {
int a, b;
cin >> a >> b;
a -= margin, b -= margin;
res[a].emplace_back(b);
if(!directed) res[b].emplace_back(a);
}
return res;
}
Graph getTreeFromPar(int n, int margin = 1) {
Graph res(n);
for(int i = 1; i < n; i++) {
int a;
cin >> a;
res[a - margin].emplace_back(i);
}
return res;
}
template <class T> Wgraph<T> getWg(int n, int m = -1, bool directed = false, int margin = 1) {
Wgraph<T> res(n);
if(m == -1) m = n - 1;
while(m--) {
int a, b;
T c;
scan(a), scan(b), scan(c);
a -= margin, b -= margin;
res[a].emplace_back(b, c);
if(!directed) res[b].emplace_back(a, c);
}
return res;
}
void add(Graph &G, int x, int y) { G[x].eb(y), G[y].eb(x); }
template <class S, class T> void add(Wgraph<S> &G, int x, int y, T c) { G[x].eb(y, c), G[y].eb(x, c); }
#define TEST \
INT(testcases); \
while(testcases--)
namespace aux {
template <typename T, unsigned N, unsigned L> struct tp {
static void output(std::ostream &os, const T &v) {
os << std::get<N>(v) << (&os == &cerr ? ", " : " ");
tp<T, N + 1, L>::output(os, v);
}
};
template <typename T, unsigned N> struct tp<T, N, N> {
static void output(std::ostream &os, const T &v) { os << std::get<N>(v); }
};
} // namespace aux
template <typename... Ts> std::ostream &operator<<(std::ostream &os, const std::tuple<Ts...> &t) {
if(&os == &cerr) { os << '('; }
aux::tp<std::tuple<Ts...>, 0, sizeof...(Ts) - 1>::output(os, t);
if(&os == &cerr) { os << ')'; }
return os;
}
template <class T, class S> ostream &operator<<(ostream &os, const pair<T, S> &p) {
if(&os == &cerr) { return os << "(" << p.first << ", " << p.second << ")"; }
return os << p.first << " " << p.second;
}
template <class Ch, class Tr, class Container> std::basic_ostream<Ch, Tr> &operator<<(std::basic_ostream<Ch, Tr> &os, const Container &x) {
bool f = true;
if(&os == &cerr) os << "[";
for(auto &y : x) {
if(&os == &cerr)
os << (f ? "" : ", ") << y;
else
os << (f ? "" : " ") << y;
f = false;
}
if(&os == &cerr) os << "]";
return os;
}
#ifdef noimi
#undef endl
void debug() { cerr << endl; }
void debug(bool) { cerr << endl; }
template <class Head, class... Tail> void debug(bool is_front, Head head, Tail... tail) {
if(!is_front) cerr << ", ";
cerr << head;
debug(false, tail...);
}
#define dump(args...) \
{ \
vector<string> _debug = _split(#args, ','); \
err(true, begin(_debug), args); \
}
vector<string> _split(const string &s, char c) {
vector<string> v;
stringstream ss(s);
string x;
while(getline(ss, x, c)) {
if(empty(v))
v.eb(x);
else {
bool flag = false;
for(auto [c, d] : {pair('(', ')'), pair('[', ']'), pair('{', '}')}) {
if(count(all(v.back()), c) != count(all(v.back()), d)) flag = true;
}
if(flag)
v.back() += "," + x;
else
v.eb(x);
}
}
return move(v);
}
void err(bool, vector<string>::iterator) { cerr << endl; }
template <typename T, typename... Args> void err(bool is_front, vector<string>::iterator it, T a, Args... args) {
if(!is_front) cerr << ", ";
cerr << it->substr((*it)[0] == ' ', (*it).size()) << " = " << a, err(false, ++it, args...);
}
// #define dump(...) cerr << #__VA_ARGS__ << " : ", debug(true, __VA_ARGS__)
#else
#define dump(...) static_cast<void>(0)
#define dbg(...) static_cast<void>(0)
#endif
void OUT() { cout << endl; }
template <class Head, class... Tail> void OUT(const Head &head, const Tail &...tail) {
cout << head;
if(sizeof...(tail)) cout << ' ';
OUT(tail...);
}
template <typename T> static constexpr T inf = numeric_limits<T>::max() / 2;
template <class F> struct REC {
F f;
REC(F &&f_) : f(std::forward<F>(f_)) {}
template <class... Args> auto operator()(Args &&...args) const { return f(*this, std::forward<Args>(args)...); }
};
template <class S> vector<pair<S, int>> runLength(const vector<S> &v) {
vector<pair<S, int>> res;
for(auto &e : v) {
if(res.empty() or res.back().fi != e)
res.eb(e, 1);
else
res.back().se++;
}
return res;
}
vector<pair<char, int>> runLength(const string &v) {
vector<pair<char, int>> res;
for(auto &e : v) {
if(res.empty() or res.back().fi != e)
res.eb(e, 1);
else
res.back().se++;
}
return res;
}
template <class T, class F> T bin_search(T ok, T ng, const F &f) {
while(abs(ok - ng) > 1) {
T mid = ok + ng >> 1;
(f(mid) ? ok : ng) = mid;
}
return ok;
}
template <class T, class F> T bin_search_double(T ok, T ng, const F &f, int iter = 80) {
while(iter--) {
T mid = (ok + ng) / 2;
(f(mid) ? ok : ng) = mid;
}
return ok;
}
struct Setup_io {
Setup_io() {
ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
cout << fixed << setprecision(11);
}
} setup_io;
#pragma endregion
template <typename G> struct HLDecomposition {
G &g;
vector<int> sz, in, out, head, rev, par, d, vis, roots;
HLDecomposition(G &g, vector<int> r = vector<int>())
: g(g), d(g.size()), sz(g.size()), in(g.size()), out(g.size()), head(g.size()), rev(g.size()), par(g.size()) {
if(empty(r)) {
vector<bool> vis(g.size());
for(int i = 0; i < g.size(); i++) {
if(vis[i]) continue;
roots.emplace_back(i);
queue<int> q;
q.emplace(i);
while(!empty(q)) {
int x = q.front();
vis[x] = true;
q.pop();
for(auto e : g[x]) {
if(!vis[e]) q.emplace(e);
}
}
}
} else
roots = r;
}
void dfs_sz(int idx, int p) {
par[idx] = p;
sz[idx] = 1;
if(g[idx].size() and g[idx][0] == p) swap(g[idx][0], g[idx].back());
for(auto &to : g[idx]) {
if(to == p) continue;
d[to] = d[idx] + 1;
dfs_sz(to, idx);
sz[idx] += sz[to];
if(sz[g[idx][0]] < sz[to]) swap(g[idx][0], to);
}
}
void dfs_hld(int idx, int par, int ×) {
in[idx] = times++;
rev[in[idx]] = idx;
for(auto &to : g[idx]) {
if(to == par) continue;
head[to] = (g[idx][0] == to ? head[idx] : to);
dfs_hld(to, idx, times);
}
out[idx] = times;
}
template <typename T> void dfs_hld(int idx, int par, int ×, vector<T> &v) {
in[idx] = times++;
rev[in[idx]] = idx;
for(auto &to : g[idx]) {
if(to == par) {
v[in[idx]] = to.cost;
continue;
}
head[to] = (g[idx][0] == to ? head[idx] : to);
dfs_hld(to, idx, times, v);
}
out[idx] = times;
}
template <typename T> void dfs_hld(int idx, int par, int ×, vector<T> &v, vector<T> &a) {
in[idx] = times++;
rev[in[idx]] = idx;
v[in[idx]] = a[idx];
for(auto &to : g[idx]) {
if(to == par) continue;
head[to] = (g[idx][0] == to ? head[idx] : to);
dfs_hld(to, idx, times, v, a);
}
out[idx] = times;
}
void build() {
int t = 0;
for(auto root : roots) {
head[root] = root;
dfs_sz(root, -1);
dfs_hld(root, -1, t);
}
}
template <typename T> vector<T> build(int root = 0) {
vector<T> res(g.size());
int t = 0;
for(auto root : roots) {
head[root] = root;
dfs_sz(root, -1);
dfs_hld(root, -1, t, res);
}
return res;
}
template <typename T> vector<T> build(vector<T> &a, int root = 0) {
vector<T> res(g.size());
for(auto root : roots) {
head[root] = root;
dfs_sz(root, -1);
int t = 0;
dfs_hld(root, -1, t, res, a);
}
return res;
}
int la(int v, int k) {
while(1) {
int u = head[v];
if(in[v] - k >= in[u]) return rev[in[v] - k];
k -= in[v] - in[u] + 1;
v = par[u];
}
}
int lca(int u, int v) {
for(;; v = par[head[v]]) {
if(in[u] > in[v]) swap(u, v);
if(head[u] == head[v]) return u;
}
}
template <typename T, typename Q, typename F> T query(int u, int v, const T &e, const Q &q, const F &f, bool edge = false) {
T l = e, r = e;
for(;; v = par[head[v]]) {
if(in[u] > in[v]) swap(u, v), swap(l, r);
if(head[u] == head[v]) break;
l = f(q(in[head[v]], in[v] + 1), l);
}
return f(f(q(in[u] + edge, in[v] + 1), l), r);
}
template <typename T, typename Q, typename Q2, typename F> T query(int u, int v, const T &e, const Q &q1, const Q2 &q2, const F &f, bool edge = false) {
T l = e, r = e;
for(;;) {
if(head[u] == head[v]) break;
if(in[u] > in[v]) {
l = f(l, q2(in[head[u]], in[u] + 1));
u = par[head[u]];
} else {
r = f(q1(in[head[v]], in[v] + 1), r);
v = par[head[v]];
}
}
if(in[u] > in[v]) return f(f(l, q2(in[v] + edge, in[u] + 1)), r);
return f(f(l, q1(in[u] + edge, in[v] + 1)), r);
}
template <typename Q> void add(int u, int v, const Q &q, bool edge = false) {
for(;; v = par[head[v]]) {
if(in[u] > in[v]) swap(u, v);
if(head[u] == head[v]) break;
q(in[head[v]], in[v] + 1);
}
q(in[u] + edge, in[v] + 1);
}
constexpr int operator[](int k) { return in[k]; }
constexpr int dist(int u, int v) { return d[u] + d[v] - 2 * d[lca(u, v)]; }
// u -> v の unique path
vector<int> road(int u, int v) {
int l = lca(u, v);
vector<int> a, b;
for(; v != l; v = par[v]) b.eb(v);
for(; u != l; u = par[u]) a.eb(u);
a.eb(l);
per(i, si(b) - 1, 0) a.eb(b[i]);
return a;
}
};
int main() {
INT(n, Q);
STR(s);
s.insert(begin(s), '(');
s.pb(')');
vi w;
vi num(n + 2);
vpi v;
int id = 0;
rep(i, n + 2) {
if(s[i] == '(')
w.eb(i), num[i] = id++;
else {
int x = w.back();
num[i] = num[x];
w.pop_back();
if(!empty(w)) v.eb(num[w.back()], num[i]);
}
}
Graph g(id);
fore(x, y, v) { add(g, x, y); }
HLDecomposition hld(g);
hld.build();
vpi res(id);
rep(i, n + 2) {
if(s[i] == '(')
res[num[i]].fi = i;
else
res[num[i]].se = i;
}
while(Q--) {
INT(x, y);
int r = hld.lca(num[x], num[y]);
if(r == 0)
OUT(-1);
else {
OUT(res[r]);
}
}
}