結果

問題 No.1332 Range Nearest Query
ユーザー rniya
提出日時 2021-01-08 22:37:46
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 236 ms / 2,500 ms
コード長 6,819 bytes
コンパイル時間 3,561 ms
コンパイル使用メモリ 216,568 KB
最終ジャッジ日時 2025-01-17 12:55:39
ジャッジサーバーID
(参考情報)
judge4 / judge4
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ファイルパターン 結果
other AC * 48
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ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
const long long MOD=1000000007;
// const long long MOD=998244353;
#define LOCAL
#pragma region Macros
typedef long long ll;
typedef __int128_t i128;
typedef unsigned int uint;
typedef unsigned long long ull;
#define ALL(x) (x).begin(),(x).end()
const int INF=INT_MAX;
const long long IINF=1e18;
const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1};
const char dir[4]={'D','R','U','L'};
template<typename T>
istream &operator>>(istream &is,vector<T> &v){
for (T &x:v) is >> x;
return is;
}
template<typename T>
ostream &operator<<(ostream &os,const vector<T> &v){
for (int i=0;i<v.size();++i){
os << v[i] << (i+1==v.size()?"": " ");
}
return os;
}
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,typename V>
ostream&operator<<(ostream &os,const tuple<T,U,V> &t){
os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ')';
return os;
}
template<typename T,typename U,typename V,typename W>
ostream&operator<<(ostream &os,const tuple<T,U,V,W> &t){
os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ',' << get<3>(t) << ')';
return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const map<T,U> &m){
os << '{';
for (auto itr=m.begin();itr!=m.end();){
os << '(' << itr->first << ',' << itr->second << ')';
if (++itr!=m.end()) os << ',';
}
os << '}';
return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const unordered_map<T,U> &m){
os << '{';
for (auto itr=m.begin();itr!=m.end();){
os << '(' << itr->first << ',' << itr->second << ')';
if (++itr!=m.end()) os << ',';
}
os << '}';
return os;
}
template<typename T>
ostream &operator<<(ostream &os,const set<T> &s){
os << '{';
for (auto itr=s.begin();itr!=s.end();){
os << *itr;
if (++itr!=s.end()) os << ',';
}
os << '}';
return os;
}
template<typename T>
ostream &operator<<(ostream &os,const multiset<T> &s){
os << '{';
for (auto itr=s.begin();itr!=s.end();){
os << *itr;
if (++itr!=s.end()) os << ',';
}
os << '}';
return os;
}
template<typename T>
ostream &operator<<(ostream &os,const unordered_set<T> &s){
os << '{';
for (auto itr=s.begin();itr!=s.end();){
os << *itr;
if (++itr!=s.end()) os << ',';
}
os << '}';
return os;
}
template<typename T>
ostream &operator<<(ostream &os,const deque<T> &v){
for (int i=0;i<v.size();++i){
os << v[i] << (i+1==v.size()?"": " ");
}
return os;
}
void debug_out(){cerr << '\n';}
template<class Head,class... Tail>
void debug_out(Head&& head,Tail&&... tail){
cerr << head;
if (sizeof...(Tail)>0) cerr << ", ";
debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...) cerr << " ";\
cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n';\
cerr << " ";\
debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
template<typename T> T gcd(T x,T y){return y!=0?gcd(y,x%y):x;}
template<typename T> T lcm(T x,T y){return x/gcd(x,y)*y;}
template<class T1,class T2> inline bool chmin(T1 &a,T2 b){
if (a>b){a=b; return true;} return false;
}
template<class T1,class T2> inline bool chmax(T1 &a,T2 b){
if (a<b){a=b; return true;} return false;
}
#pragma endregion
template<typename Monoid>
struct SegmentTree{
typedef function<Monoid(Monoid,Monoid)> F;
int n;
F f;
Monoid id;
vector<Monoid> dat;
SegmentTree(int n_,F f,Monoid id):f(f),id(id){init(n_);}
void init(int n_){
n=1;
while(n<n_) n<<=1;
dat.assign(n<<1,id);
}
void build(const vector<Monoid> &v){
for (int i=0;i<v.size();++i) dat[i+n]=v[i];
for (int i=n-1;i;--i) dat[i]=f(dat[i<<1|0],dat[i<<1|1]);
}
void update(int k,Monoid x){
dat[k+=n]=x;
while(k>>=1) dat[k]=f(dat[k<<1|0],dat[k<<1|1]);
}
Monoid query(int a,int b){
if (a>=b) return id;
Monoid vl=id,vr=id;
for (int l=a+n,r=b+n;l<r;l>>=1,r>>=1){
if (l&1) vl=f(vl,dat[l++]);
if (r&1) vr=f(dat[--r],vr);
}
return f(vl,vr);
}
template<typename C>
int find_subtree(int k,const C &check,Monoid &M,bool type){
while(k<n){
Monoid nxt=type?f(dat[k<<1|type],M):f(M,dat[k<<1|type]);
if (check(nxt)) k=k<<1|type;
else M=nxt,k=k<<1|(type^1);
}
return k-n;
}
// min i s.t. f(seg[a],seg[a+1],...,seg[i]) satisfy "check"
template<typename C>
int find_first(int a,const C &check){
Monoid L=id;
if (a<=0){
if (check(f(L,dat[1]))) return find_subtree(1,check,L,false);
return -1;
}
int b=n;
for (int l=a+n,r=b+n;l<r;l>>=1,r>>=1){
if (l&1){
Monoid nxt=f(L,dat[l]);
if (check(nxt)) return find_subtree(l,check,L,false);
L=nxt; ++l;
}
}
return -1;
}
// max i s.t. f(seg[i],...,seg[b-2],seg[b-1]) satisfy "check"
template<typename C>
int find_last(int b,const C &check){
Monoid R=id;
if (b>=n){
if (check(f(dat[1],R))) return find_subtree(1,check,R,true);
return -1;
}
int a=n;
for (int l=a,r=b+n;l<r;l>>=1,r>>=1){
if (r&1){
Monoid nxt=f(dat[--r],R);
if (check(nxt)) return find_subtree(r,check,R,true);
R=nxt;
}
}
return -1;
}
Monoid operator[](int i){return dat[i+n];}
};
int main(){
cin.tie(0);
ios::sync_with_stdio(false);
int N; cin >> N;
vector<pair<int,int>> X;
for (int i=0;i<N;++i){
int x; cin >> x;
X.emplace_back(x,i);
}
sort(ALL(X));
int Q; cin >> Q;
vector<tuple<int,int,int,int>> query;
for (int i=0;i<Q;++i){
int l,r,x; cin >> l >> r >> x; --l;
query.emplace_back(x,l,r,i);
}
sort(ALL(query));
vector<ll> ans(Q,IINF);
SegmentTree<ll> seg1(N,[](ll a,ll b){return min(a,b);},IINF)
,seg2(N,[](ll a,ll b){return max(a,b);},-IINF);
for (int i=Q-1,j=N-1;i>=0;--i){
int l,r,x,id;
tie(x,l,r,id)=query[i];
while (j>=0&&X[j].first>=x) seg1.update(X[j].second,X[j].first),--j;
chmin(ans[id],seg1.query(l,r)-x);
}
for (int i=0,j=0;i<Q;++i){
int l,r,x,id;
tie(x,l,r,id)=query[i];
while (j<N&&X[j].first<=x) seg2.update(X[j].second,X[j].first),++j;
chmin(ans[id],x-seg2.query(l,r));
}
for (int a:ans) cout << a << '\n';
}
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