結果

問題 No.1778 括弧列クエリ / Bracketed Sequence Query
ユーザー hotman78hotman78
提出日時 2021-12-07 00:36:45
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 266 ms / 2,000 ms
コード長 14,100 bytes
コンパイル時間 5,370 ms
コンパイル使用メモリ 273,660 KB
実行使用メモリ 49,048 KB
最終ジャッジ日時 2023-09-21 16:14:01
合計ジャッジ時間 12,006 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
このコードへのチャレンジ(β)

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 60 ms
4,376 KB
testcase_01 AC 62 ms
4,376 KB
testcase_02 AC 60 ms
4,380 KB
testcase_03 AC 55 ms
4,380 KB
testcase_04 AC 63 ms
4,376 KB
testcase_05 AC 90 ms
19,132 KB
testcase_06 AC 46 ms
6,888 KB
testcase_07 AC 19 ms
11,520 KB
testcase_08 AC 196 ms
42,588 KB
testcase_09 AC 36 ms
16,864 KB
testcase_10 AC 102 ms
32,772 KB
testcase_11 AC 83 ms
23,516 KB
testcase_12 AC 95 ms
19,204 KB
testcase_13 AC 186 ms
41,452 KB
testcase_14 AC 91 ms
29,744 KB
testcase_15 AC 1 ms
4,380 KB
testcase_16 AC 197 ms
42,588 KB
testcase_17 AC 202 ms
42,656 KB
testcase_18 AC 199 ms
42,632 KB
testcase_19 AC 200 ms
42,616 KB
testcase_20 AC 207 ms
42,776 KB
testcase_21 AC 2 ms
4,376 KB
testcase_22 AC 1 ms
4,376 KB
testcase_23 AC 155 ms
34,996 KB
testcase_24 AC 177 ms
43,392 KB
testcase_25 AC 214 ms
43,392 KB
testcase_26 AC 266 ms
48,916 KB
testcase_27 AC 131 ms
49,048 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#line 2 "cpplib/util/template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}}__INIT__;
typedef long long lint;
#define INF (1LL<<60)
#define IINF (1<<30)
#define EPS (1e-10)
#define endl ('\n')
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
template<typename T>using V=vector<T>;
template<typename T>using VV=V<V<T>>;
template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}
template<typename T>inline void output2(T t){for(auto i:t)output(i);}
template<typename T>inline void debug(T t){bool f=0;for(auto i:t){cerr<<(f?" ":"")<<i;f=1;}cerr<<endl;}
template<typename T>inline void debug2(T t){for(auto i:t)debug(i);}
#define loop(n) for(long long _=0;_<(long long)(n);++_)
#define _overload4(_1,_2,_3,_4,name,...) name
#define __rep(i,a) repi(i,0,a,1)
#define _rep(i,a,b) repi(i,a,b,1)
#define repi(i,a,b,c) for(long long i=(long long)(a);i<(long long)(b);i+=c)
#define rep(...) _overload4(__VA_ARGS__,repi,_rep,__rep)(__VA_ARGS__)
#define _overload3_rev(_1,_2,_3,name,...) name
#define _rep_rev(i,a) repi_rev(i,0,a)
#define repi_rev(i,a,b) for(long long i=(long long)(b)-1;i>=(long long)(a);--i)
#define rrep(...) _overload3_rev(__VA_ARGS__,repi_rev,_rep_rev)(__VA_ARGS__)

// #define rep(i,...) for(auto i:range(__VA_ARGS__)) 
// #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__)))
// #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)
// #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)
// #define irep(i) for(lint i=0;;++i)
// inline vector<long long> range(long long n){if(n<=0)return vector<long long>();vector<long long>v(n);iota(v.begin(),v.end(),0LL);return v;}
// inline vector<long long> range(long long a,long long b){if(b<=a)return vector<long long>();vector<long long>v(b-a);iota(v.begin(),v.end(),a);return v;}
// inline vector<long long> range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector<long long>();vector<long long>v((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;}
// template<typename T>inline T reversed(T v){reverse(v.begin(),v.end());return v;}
#define all(n) begin(n),end(n)
template<typename T,typename E>bool chmin(T& s,const E& t){bool res=s>t;s=min<T>(s,t);return res;}
template<typename T,typename E>bool chmax(T& s,const E& t){bool res=s<t;s=max<T>(s,t);return res;}
const string ds="DRUL";
const vector<lint> dx={1,0,-1,0,1,1,-1,-1};
const vector<lint> dy={0,1,0,-1,1,-1,1,-1};
#define SUM(v) accumulate(all(v),0LL)
#if __cplusplus>=201703L
    template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else return vector(arg,make_vector<T>(x,args...));}
#endif
#define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__}))
#define bit(n,a) ((n>>a)&1)
vector<vector<long long>> __MAKE_MAT__(vector<long long> v){if(v.empty())return vector<vector<long long>>(1,vector<long long>());long long n=v.back();v.pop_back();vector<vector<long long>> ret;vector<vector<long long>> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);}return ret;}
using graph=vector<vector<int>>;
template<typename T>using graph_w=vector<vector<pair<int,T>>>;
template<typename T,typename E>ostream& operator<<(ostream& out,pair<T,E>v){out<<"("<<v.first<<","<<v.second<<")";return out;}
#if __cplusplus>=201703L
    constexpr inline long long powll(long long a,long long b){long long res=1;while(b--)res*=a;return res;}
#endif

template<typename T,typename E>pair<T,E>& operator+=(pair<T,E>&s,const pair<T,E>&t){s.first+=t.first;s.second+=t.second;return s;}
template<typename T,typename E>pair<T,E>& operator-=(pair<T,E>&s,const pair<T,E>&t){s.first-=t.first;s.second-=t.second;return s;}
template<typename T,typename E>pair<T,E> operator+(const pair<T,E>&s,const pair<T,E>&t){auto res=s;return res+=t;}
template<typename T,typename E>pair<T,E> operator-(const pair<T,E>&s,const pair<T,E>&t){auto res=s;return res-=t;}
#define BEGIN_STACK_EXTEND(size) void * stack_extend_memory_ = malloc(size);void * stack_extend_origin_memory_;char * stack_extend_dummy_memory_ = (char*)alloca((1+(int)(((long long)stack_extend_memory_)&127))*16);*stack_extend_dummy_memory_ = 0;asm volatile("mov %%rsp, %%rbx\nmov %%rax, %%rsp":"=b"(stack_extend_origin_memory_):"a"((char*)stack_extend_memory_+(size)-1024));
#define END_STACK_EXTEND asm volatile("mov %%rax, %%rsp"::"a"(stack_extend_origin_memory_));free(stack_extend_memory_);
#line 5 "cpplib/graph_tree/graph_template.hpp"
/**
 * @brief グラフテンプレート
 */

using graph=std::vector<std::vector<int>>;
template<typename T>
using graph_w=std::vector<std::vector<std::pair<int,T>>>;

graph load_graph(int n,int m){graph g(n);for(int i=0;i<m;++i){int s,t;std::cin>>s>>t;--s;--t;g[s].push_back(t);g[t].push_back(s);}return g;}
graph load_digraph(int n,int m){graph g(n);for(int i=0;i<m;++i){int s,t;std::cin>>s>>t;--s;--t;g[s].push_back(t);}return g;}
graph load_graph0(int n,int m){graph g(n);for(int i=0;i<m;++i){int s,t;std::cin>>s>>t;g[s].push_back(t);g[t].push_back(s);}return g;}
graph load_digraph0(int n,int m){graph g(n);for(int i=0;i<m;++i){int s,t;std::cin>>s>>t;g[s].push_back(t);}return g;}
graph load_tree(int n){graph g(n);for(int i=0;i<n-1;++i){int s,t;std::cin>>s>>t;--s;--t;g[s].push_back(t);g[t].push_back(s);}return g;}
graph load_tree0(int n){graph g(n);for(int i=0;i<n-1;++i){int s,t;std::cin>>s>>t;g[s].push_back(t);g[t].push_back(s);}return g;}
graph load_treep(int n){graph g(n);for(int i=0;i<n-1;++i){int t;std::cin>>t;g[i+1].push_back(t);g[t].push_back(i+1);}return g;}
template<typename T>graph_w<T> load_graph_weight(int n,int m){graph_w<T> g(n);for(int i=0;i<m;++i){int s,t;T u;std::cin>>s>>t>>u;--s;--t;g[s].emplace_back(t,u);g[t].emplace_back(s,u);}return g;}
template<typename T>graph_w<T> load_digraph_weight(int n,int m){graph_w<T> g(n);for(int i=0;i<m;++i){int s,t;T u;std::cin>>s>>t>>u;--s;--t;g[s].emplace_back(t,u);}return g;}
template<typename T>graph_w<T> load_graph0_weight(int n,int m){graph_w<T> g(n);for(int i=0;i<m;++i){int s,t;T u;std::cin>>s>>t>>u;g[s].emplace_back(t,u);g[t].emplace_back(s,u);}return g;}
template<typename T>graph_w<T> load_digraph0_weight(int n,int m){graph_w<T> g(n);for(int i=0;i<m;++i){int s,t;T u;std::cin>>s>>t>>u;g[s].emplace_back(t,u);}return g;}
template<typename T>graph_w<T> load_tree_weight(int n){graph_w<T> g(n);for(int i=0;i<n-1;++i){int s,t;T u;std::cin>>s>>t>>u;--s;--t;g[s].emplace_back(t,u);g[t].emplace_back(s,u);}return g;}
template<typename T>graph_w<T> load_tree0_weight(int n){graph_w<T> g(n);for(int i=0;i<n-1;++i){int s,t;T u;std::cin>>s>>t>>u;g[s].emplace_back(t,u);g[t].emplace_back(s,u);}return g;}
template<typename T>graph_w<T> load_treep_weight(int n){graph_w<T> g(n);for(int i=0;i<n-1;++i){int t;T u;std::cin>>t>>u;g[i+1].emplace_back(t,u);g[t].emplace_back(i+1,u);}return g;}
#line 5 "cpplib/graph_tree/depth.hpp"

/**
 * @brief 根からの深さ
 */

std::vector<int> depth(const graph& g,int start){
	std::vector<int>memo(g.size());
	auto f=[&](auto f,int v,int p)->int{
		int mx=0;
		for(auto t:g[v]){
			if(t==p)continue;
			mx=std::max(mx,f(f,t,v));
		}
		return memo[v]=mx+1;
	};
	f(f,start,-1);
	return memo;
}
#line 1 "cpplib/graph_tree/distance.hpp"
std::vector<int> distance(const graph& G,int start){
    std::vector<int>memo(G.size());
    auto f=[&](auto f,int v,int p,int i)->void{
        for(auto t:G[v]){
            if(t==p)continue;
            f(f,t,v,i+1);
        }
        memo[v]=i;
    };
    f(f,start,-1,0);
    return memo;
}
#line 3 "cpplib/data_structure/small_rmq.hpp"

/**
 * RMQ(small) &amp;lt;O(N),O(1)&amp;gt;(N<=64)
 */

template<typename T>
class small_rmq{
    using u64=unsigned long long;
    std::vector<u64>table;
    std::vector<T> v;
    public:
    small_rmq(std::vector<T> v):v(v){
        assert(v.size()<=64);
        std::vector<int>tmp(v.size());
        table.resize(v.size(),0);
        std::stack<T>stk;
        for(int i=0;i<(int)v.size();++i){
            tmp.resize(v.size());
            while(!stk.empty()&&v[stk.top()]>=v[i]){
                stk.pop();
            }
            tmp[i]=stk.empty()?-1:stk.top();
            stk.emplace(i);
        }
        for(int i=0;i<(int)v.size();++i){
            if(tmp[i]!=-1)table[i]=table[tmp[i]]|(1ULL<<(tmp[i]));
        }
    }
    T query(int l,int r){
        assert(l!=r);
        const u64 tmp=table[r-1]&~((1ULL<<l)-1);
        if(tmp==0)return r-1;
        else return __builtin_ctzll(tmp);
    }
};
#line 3 "cpplib/alga/maybe.hpp"

/**
 * @brief Maybe
 * @see https://ja.wikipedia.org/wiki/%E3%83%A2%E3%83%8A%E3%83%89_(%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%9F%E3%83%B3%E3%82%B0)#Maybe%E3%83%A2%E3%83%8A%E3%83%89
 */

template<typename T>
struct maybe{
    bool _is_none;
    T val;
    maybe():_is_none(true){}
    maybe(T val):_is_none(false),val(val){}
    T unwrap()const{
        assert(!_is_none);
        return val;
    }
    T unwrap_or(T e)const{
        return _is_none?e:val;
    }
    bool is_none()const{return _is_none;}
    bool is_some()const{return !_is_none;}
};

template<typename T,typename F>
auto expand(F op){
    return [&op](const maybe<T>& __s,const maybe<T>& __t)->maybe<T>{
        if(__s.is_none())return __t;
        if(__t.is_none())return __s;
        return maybe<T>(op(__s.unwrap(),__t.unwrap()));
    };
}
#line 7 "cpplib/data_structure/sparse_table.hpp"
/**
 * @brief SparseTable
 */

template<typename T,typename F>
class sparse_table{
    F f;
    std::vector<std::vector<T>>data;
    public:
    sparse_table(std::vector<T> v,F f=F()):f(f){
        int n=v.size(),log=log2(n)+1;
        data.resize(n,std::vector<T>(log));
        for(int i=0;i<n;i++)data[i][0]=v[i];
        for(int j=1;j<log;j++)for(int i=0;i+(1<<(j-1))<n;i++){
            data[i][j]=f(data[i][j-1],data[i+(1<<(j-1))][j-1]);
        }
    }
    maybe<T> get(int l,int r){
        if(l==r)return maybe<T>();
        if(r<l)std::swap(l,r);
        int k=std::log2(r-l);
        return maybe<T>(f(data[l][k],data[r-(1<<k)][k]));
    }
};
#line 3 "cpplib/functional/argmin.hpp"

/**
 * @brief 最小値とその位置
 */

template<typename T,typename E>
struct argmin{
    std::pair<T,E> operator()(const std::pair<T,E>& s,const std::pair<T,E>& t){
        return s.second<=t.second?s:t;
    }
};
#line 11 "cpplib/data_structure/arg_rmq.hpp"

/**
 * @brief RangeArgminQuery &amp;lt;O(N),O(1)&amp;gt;
 * @see https://noshi91.hatenablog.com/entry/2018/08/16/125415
 */

template<typename T>
class arg_rmq{
    constexpr static int b=64;
    std::vector<T>v;
    std::vector<small_rmq<T>*>backet;
    sparse_table<std::pair<int,T>,argmin<int,T>>* st=0;
    public:
    arg_rmq(std::vector<T>v):v(v){
        std::vector<std::pair<int,T>>tmp2;
        for(int i=0;i<(int)v.size();i+=b){
            std::vector<T>tmp;
            T mn=std::numeric_limits<T>::max();
            int idx=-1;
            for(int j=0;i+j<(int)v.size()&&j<b;j++){
                tmp.push_back(v[i+j]);
                if(mn>v[i+j]){
                    mn=v[i+j];
                    idx=i+j;
                }
            }
            tmp2.emplace_back(idx,mn);
            backet.push_back(new small_rmq<T>(tmp));
        }
        st=new sparse_table<std::pair<int,T>,argmin<int,T>>(tmp2);
    }
    maybe<std::pair<int,T>> query(int s,int t){
        if(s==t)return maybe<std::pair<int,T>>();
        if(s/b==t/b){
            int idx=s/b*b+backet[s/b]->query(s%b,t%b);
            return maybe<std::pair<int,T>>(std::make_pair(idx,v[idx]));
        }
        std::pair<int,T> res=std::make_pair(-1,std::numeric_limits<T>::max());

        {
            int idx=s/b*b+backet[s/b]->query(s%b,b);
            res=argmin<int,T>()(res,std::make_pair(idx,v[idx]));
        }

        if(s/b+1!=t/b)res=argmin<int,T>()(res,st->get(s/b+1,t/b).unwrap());

        if(t%b!=0){
            int idx=t/b*b+backet[t/b]->query(0,t%b);
            res=argmin<int,T>()(res,std::make_pair(idx,v[idx]));
        }

        return maybe<std::pair<int,T>>(res);
    }
};
#line 9 "cpplib/graph_tree/lca.hpp"

/**
 * @brief LCA &amp;lt;O(N),O(1)&amp;gt;(HL分解と同等の速さ)
 */

class lca{
    std::vector<int>data;
    std::vector<int>comp_data;
    std::vector<int>start;
    arg_rmq<int>*st;
    std::vector<int> __dist;
    public:
    lca(){}
    lca(std::vector<std::vector<int>>v,int s){
        data.resize(v.size()*2-1);
        comp_data.resize(v.size()*2-1);
        start.resize(v.size());
        int i=0;
        __dist=distance(v,s);
        auto f=[&](auto f,int n,int p)->void{
            start[n]=i;
            data[i]=n;
            comp_data[i++]=__dist[n];
            for(int t:v[n]){
                if(t==p)continue;
                f(f,t,n);
                data[i]=n;
                comp_data[i++]=__dist[n];
            }
        };
        f(f,s,-1);
        st=new arg_rmq<int>(comp_data);
    }
    int query(int p,int q){
        return data[st->query(std::min(start[p],start[q]),std::max(start[p],start[q])+1).unwrap().first];
    }
    int dist(int p,int q){
        return __dist[p]+__dist[q]-2*__dist[query(p,q)];
    }
};
#line 3 "main.cpp"
int main(){
	lint n,m;
	cin>>n>>m;
	string s;
	cin>>s;
	graph g(n+3);
	stack<lint>stk;
	lint cnt=1;
	stk.emplace(0);
	vec a(n+3);
	mat b(n+3);
	s="("+s+')';
	rep(i,n+2){
		if(s[i]=='('){
			a[i]=cnt;
			b[cnt].emplace_back(i);
			g[stk.top()].emplace_back(cnt);
			g[cnt].emplace_back(stk.top());
			stk.emplace(cnt);
			cnt++;
		}else{
			lint now=stk.top();
			stk.pop();
			a[i]=now;
			b[now].emplace_back(i);
		}
	}
	lca l(g,0);
	rep(i,m){
		lint s,t;
		cin>>s>>t;
		if(l.query(a[s],a[t])==1){
			cout<<-1<<endl;
		}else{
			cout<<b[l.query(a[s],a[t])][0]<<" "<<b[l.query(a[s],a[t])][1]<<endl;
		}
	}
}
0