結果
問題 | No.2823 PEX (Predecessing Excluded Value) Game |
ユーザー |
![]() |
提出日時 | 2024-07-27 04:03:11 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
(最新)
AC
(最初)
|
実行時間 | - |
コード長 | 55,989 bytes |
コンパイル時間 | 5,641 ms |
コンパイル使用メモリ | 296,924 KB |
実行使用メモリ | 8,008 KB |
最終ジャッジ日時 | 2024-07-27 21:22:33 |
合計ジャッジ時間 | 7,601 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge1 |
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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
6,812 KB |
testcase_02 | AC | 2 ms
6,944 KB |
testcase_03 | AC | 84 ms
7,440 KB |
testcase_04 | AC | 56 ms
6,944 KB |
testcase_05 | AC | 107 ms
8,008 KB |
testcase_06 | AC | 2 ms
6,940 KB |
testcase_07 | AC | 2 ms
6,940 KB |
testcase_08 | AC | 3 ms
6,944 KB |
testcase_09 | AC | 5 ms
6,940 KB |
testcase_10 | AC | 3 ms
6,944 KB |
testcase_11 | AC | 3 ms
6,940 KB |
testcase_12 | AC | 2 ms
6,940 KB |
testcase_13 | AC | 3 ms
6,940 KB |
testcase_14 | AC | 2 ms
6,940 KB |
testcase_15 | AC | 3 ms
6,944 KB |
testcase_16 | AC | 2 ms
6,944 KB |
testcase_17 | AC | 2 ms
6,940 KB |
testcase_18 | AC | 2 ms
6,940 KB |
testcase_19 | AC | 2 ms
6,940 KB |
testcase_20 | AC | 2 ms
6,940 KB |
testcase_21 | AC | 2 ms
6,944 KB |
testcase_22 | AC | 2 ms
6,940 KB |
testcase_23 | AC | 2 ms
6,940 KB |
testcase_24 | AC | 2 ms
6,940 KB |
testcase_25 | AC | 2 ms
6,944 KB |
testcase_26 | AC | 2 ms
6,944 KB |
testcase_27 | AC | 2 ms
6,940 KB |
testcase_28 | AC | 2 ms
6,940 KB |
testcase_29 | AC | 2 ms
6,944 KB |
testcase_30 | AC | 2 ms
6,944 KB |
testcase_31 | AC | 2 ms
6,944 KB |
testcase_32 | AC | 2 ms
6,948 KB |
testcase_33 | AC | 2 ms
6,940 KB |
testcase_34 | AC | 2 ms
6,944 KB |
testcase_35 | AC | 2 ms
6,940 KB |
testcase_36 | AC | 1 ms
6,944 KB |
testcase_37 | AC | 2 ms
6,944 KB |
testcase_38 | AC | 2 ms
6,940 KB |
testcase_39 | AC | 2 ms
6,940 KB |
testcase_40 | AC | 2 ms
6,944 KB |
testcase_41 | AC | 2 ms
6,940 KB |
testcase_42 | AC | 2 ms
6,940 KB |
testcase_43 | AC | 2 ms
6,944 KB |
testcase_44 | AC | 2 ms
6,940 KB |
testcase_45 | AC | 2 ms
6,944 KB |
testcase_46 | AC | 2 ms
6,944 KB |
testcase_47 | AC | 2 ms
6,944 KB |
testcase_48 | AC | 2 ms
6,944 KB |
testcase_49 | AC | 2 ms
6,944 KB |
testcase_50 | AC | 2 ms
6,940 KB |
testcase_51 | AC | 2 ms
6,944 KB |
testcase_52 | WA | - |
ソースコード
#if !defined(MYLOCAL)//提出時用テンプレート #pragma GCC optimize("Ofast") #if defined(NDEBUG) #undef NDEBUG #endif #include "bits/stdc++.h" #if !defined(_MSC_VER) && __has_include(<atcoder/all>) #include <atcoder/all> using namespace atcoder; #endif using namespace std; using ll=long long; using dd=double; using vll=vector< ll>; using vdd=vector< dd>; using vvll=vector< vll>; using vvdd=vector<vdd>; using vvvll=vector< vvll>; using vvvdd=vector<vvdd>; using vvvvll=vector<vvvll>; using pll=pair<ll,ll>; using tll=tuple<ll,ll,ll>; using qll=tuple<ll,ll,ll,ll>; using vpll=vector< pll>; using vtll=vector< tll>; using vqll=vector< qll>; using vvpll=vector<vpll>; using vvtll=vector<vtll>; using vvqll=vector<vqll>; using namespace chrono; constexpr ll INF = 1001001001001001001; struct Fast{ Fast(){ cin.tie(0); ios::sync_with_stdio(false); cout<<fixed<<setprecision(numeric_limits<double>::max_digits10); } } fast; #define REPS(i, S, E) for (ll i = (S); i <= (E); i++) #define REP(i, N) REPS(i, 0, (N)-1) #define DEPS(i, S, E) for (ll i = (E); i >= (S); i--) #define DEP(i, N) DEPS(i, 0, (N)-1) #define EXPAND( x ) x//VS用おまじない #define overload3(_1,_2,_3,name,...) name #define overload4(_1,_2,_3,_4,name,...) name #define overload5(_1,_2,_3,_4,_5,name,...) name #define rep3(i, S, E) for (ll i = (S); i <= (E); i++) #define rep4(i, S, E, t) for (ll i = (S); i <= (E); i+=(t)) #define rep(...) EXPAND(overload4(__VA_ARGS__,rep4,rep3,_,_)(__VA_ARGS__)) #define dep3(i, E, S) for (ll i = (E); i >= (S); i--) #define dep4(i, E, S, t) for (ll i = (E); i >= (S); i-=(t)) #define dep(...) EXPAND(overload4(__VA_ARGS__, dep4, dep3,_,_)(__VA_ARGS__)) #define each2(e,v) for (auto && e:v) #define each3(a,b,v) for (auto &&[a,b]:v) #define each4(a,b,c,v) for (auto &&[a,b,c]:v) #define each5(a,b,c,d,v) for (auto &&[a,b,c,d]:v) #define each(...) EXPAND(overload5(__VA_ARGS__,each5,each4,each3,each2,_)(__VA_ARGS__)) #define ALL1(v) (v).begin(), (v).end() #define ALL2(v,E) (v).begin(), (v).begin()+((E)+1) #define ALL3(v,S,E) (v).begin()+(S), (v).begin()+((E)+1) #define ALL(...) EXPAND(overload3(__VA_ARGS__, ALL3, ALL2, ALL1)(__VA_ARGS__)) #define all ALL #define RALL1(v) (v).rbegin(), (v).rend() #define RALL2(v,E) (v).rbegin(), (v).rbegin()+((E)+1) #define RALL3(v,S,E) (v).rbegin()+(S), (v).rbegin()+((E)+1) #define RALL(...) EXPAND(overload3(__VA_ARGS__, RALL3, RALL2, RALL1)(__VA_ARGS__)) #define rall RALL template<class T> inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; }return false; } template<class T> inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; }return false; } template<class T> inline T MaxE(vector<T>&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmax(m,v[i]); return m; } template<class T> inline T MinE(vector<T>&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmin(m,v[i]); return m; } template<class T> inline T MaxE(vector<T> &v) { return MaxE(v,0,(ll)v.size()-1); } template<class T> inline T MinE(vector<T> &v) { return MinE(v,0,(ll)v.size()-1); } template<class T> inline auto maxe(T &&v,ll S,ll E){ return *max_element(ALL(v,S,E)); } template<class T> inline auto maxe(T &&v){ return *max_element(ALL(v)); } template<class T> inline auto mine(T &&v,ll S,ll E){ return *min_element(ALL(v,S,E)); } template<class T> inline auto mine(T &&v){ return *min_element(ALL(v)); } template<class T> inline T Sum(vector<T> &v,ll S,ll E){ T s=T(); rep(i,S,E)s+=v[i]; return s; } template<class T> inline T Sum(vector<T> &v) { return Sum(v,0,v.size()-1); } template<class T,class U=typename remove_reference<T>::type::value_type> inline U sum(T &&v,ll S,ll E) {return accumulate(all(v,S,E),U());} template<class T> inline auto sum(T &&v) {return sum(v,0,v.end()-v.begin()-1);} template<class T> inline ll sz(T &&v){ return (ll)v.size(); } inline ll CEIL(ll a,ll b){ return (a<0) ? -(-a/b) : (a+b-1)/b; } //負もOK inline ll FLOOR(ll a,ll b){ return -CEIL(-a,b); } //負もOK //pair用テンプレート template<class T,class S> inline pair<T,S>& operator+=(pair<T,S> &a,const pair<T,S> &b){ a.first+=b.first; a.second+=b.second; return a; } template<class T,class S> inline pair<T,S>& operator-=(pair<T,S> &a,const pair<T,S> &b){ a.first-=b.first; a.second-=b.second; return a; } template<class T,class S> inline pair<T,S>& operator*=(pair<T,S> &a,const pair<T,S> &b){ a.first*=b.first; a.second*=b.second; return a; } template<class T,class S> inline pair<T,S>& operator/=(pair<T,S> &a,const pair<T,S> &b){ a.first/=b.first; a.second/=b.second; return a; } template<class T,class S> inline pair<T,S>& operator%=(pair<T,S> &a,const pair<T,S> &b){ a.first%=b.first; a.second%=b.second; return a; } template<class T,class S,class R> inline pair<T,S>& operator+=(pair<T,S> &a,R b){ a.first+=b; a.second+=b; return a; } template<class T,class S,class R> inline pair<T,S>& operator-=(pair<T,S> &a,R b){ a.first-=b; a.second-=b; return a; } template<class T,class S,class R> inline pair<T,S>& operator*=(pair<T,S> &a,R b){ a.first*=b; a.second*=b; return a; } template<class T,class S,class R> inline pair<T,S>& operator/=(pair<T,S> &a,R b){ a.first/=b; a.second/=b; return a; } template<class T,class S,class R> inline pair<T,S>& operator%=(pair<T,S> &a,R b){ a.first%=b; a.second%=b; return a; } template<class T,class S,class R> inline pair<T,S> operator+(const pair<T,S> &a,R b){ pair<T,S> c=a; return c+=b; } template<class T,class S,class R> inline pair<T,S> operator-(const pair<T,S> &a,R b){ pair<T,S> c=a; return c-=b; } template<class T,class S,class R> inline pair<T,S> operator*(const pair<T,S> &a,R b){ pair<T,S> c=a; return c*=b; } template<class T,class S,class R> inline pair<T,S> operator/(const pair<T,S> &a,R b){ pair<T,S> c=a; return c/=b; } template<class T,class S,class R> inline pair<T,S> operator%(const pair<T,S> &a,R b){ pair<T,S> c=a; return c%=b; } template<class T,class S,class R> inline pair<T,S> operator-(R b,const pair<T,S> &a){ pair<T,S> c=-a; return c+=b; } template<class T,class S> inline pair<T,S> operator-(const pair<T,S> &a,const pair<T,S> &b){ pair<T,S> c=a; return c-=b; } template<class T,class S> inline pair<T,S> operator-(const pair<T,S> &a){ pair<T,S> c=a; return c*=(-1); } template<class T,class S> inline ostream &operator<<(ostream &os,const pair<T,S> &a){ return os << a.first << ' ' << a.second; } //tuple用テンプレート 出力用のみ template<class T,class S,class R> inline ostream &operator<<(ostream &os,const tuple<T,S,R> &a){ return os << get<0>(a) << ' ' << get<1>(a) << ' ' << get<2>(a); } template<class T,class S,class R,class Q> inline ostream &operator<<(ostream &os,const tuple<T,S,R,Q> &a){ return os << get<0>(a) << ' ' << get<1>(a) << ' ' << get<2>(a) << ' ' << get<3>(a); } //vector用テンプレート template<class T> inline ostream &operator<<(ostream &os,const vector<T> &a){ for (ll i=0; i<(ll)a.size(); i++) os<<(i>0?" ":"")<<a[i]; return os; } //array用テンプレート template<class T,size_t S> inline array<T,S>& operator+=(array<T,S> &a,const array<T,S> &b){ for (ll i=0; i<(ll)S; i++) a[i]+=b[i]; return a; } template<class T,size_t S> inline array<T,S>& operator-=(array<T,S> &a,const array<T,S> &b){ for (ll i=0; i<(ll)S; i++) a[i]-=b[i]; return a; } template<class T,size_t S> inline array<T,S>& operator*=(array<T,S> &a,const array<T,S> &b){ for (ll i=0; i<(ll)S; i++) a[i]*=b[i]; return a; } template<class T,size_t S> inline array<T,S>& operator/=(array<T,S> &a,const array<T,S> &b){ for (ll i=0; i<(ll)S; i++) a[i]/=b[i]; return a; } template<class T,size_t S> inline array<T,S>& operator%=(array<T,S> &a,const array<T,S> &b){ for (ll i=0; i<(ll)S; i++) a[i]%=b[i]; return a; } template<class T,size_t S,class R> inline array<T,S>& operator+=(array<T,S> &a,R b){ for (T &e: a) e+=b; return a; } template<class T,size_t S,class R> inline array<T,S>& operator-=(array<T,S> &a,R b){ for (T &e: a) e-=b; return a; } template<class T,size_t S,class R> inline array<T,S>& operator*=(array<T,S> &a,R b){ for (T &e: a) e*=b; return a; } template<class T,size_t S,class R> inline array<T,S>& operator/=(array<T,S> &a,R b){ for (T &e: a) e/=b; return a; } template<class T,size_t S,class R> inline array<T,S>& operator%=(array<T,S> &a,R b){ for (T &e: a) e%=b; return a; } template<class T,size_t S,class R> inline array<T,S> operator+(const array<T,S> &a,R b){ array<T,S> c=a; return c+=b; } template<class T,size_t S,class R> inline array<T,S> operator-(const array<T,S> &a,R b){ array<T,S> c=a; return c-=b; } template<class T,size_t S,class R> inline array<T,S> operator*(const array<T,S> &a,R b){ array<T,S> c=a; return c*=b; } template<class T,size_t S,class R> inline array<T,S> operator/(const array<T,S> &a,R b){ array<T,S> c=a; return c/=b; } template<class T,size_t S,class R> inline array<T,S> operator%(const array<T,S> &a,R b){ array<T,S> c=a; return c%=b; } template<class T,size_t S,class R> inline array<T,S> operator-(R b,const array<T,S> &a){ array<T,S> c=-a; return c+=b; } template<class T,size_t S> inline array<T,S> operator-(const array<T,S> &a,const array<T,S> &b){ array<T,S> c=a; return c-=b; } template<class T,size_t S> inline array<T,S> operator-(const array<T,S> &a){ array<T,S> c=a; return c*=(-1); } template<class T,size_t S> inline ostream &operator<<(ostream &os,const array<T,S> &a){ for (ll i=0; i<(ll)S; i++) os<<(i>0?" ":"")<<a[i]; return os; } template<class T,size_t S,class R> struct view1d; template<class T,size_t S,class R> struct view1dIter{ view1d<T,S,R> *vw=nullptr; ll idx=INF; view1dIter(){} view1dIter(view1d<T,S,R> *vw_,ll idx_):vw(vw_),idx(idx_){} view1dIter(const view1dIter<T,S,R> &it):vw(it.vw),idx(it.idx){} R &operator*() { return (*vw)[idx]; } R &operator*() const{ return (*vw)[idx]; } R &operator[](ll i) { return (*vw)[idx+i]; } R &operator[](ll i)const{ return (*vw)[idx+i]; } auto &operator++(){ idx++; return *this; } auto &operator--(){ idx--; return *this; } auto operator++(int){ auto it=*this; idx++; return it; } auto operator--(int){ auto it=*this; idx--; return it; } auto &operator+=(ll n){ idx+=n; return *this; } auto &operator-=(ll n){ idx-=n; return *this; } auto operator+(ll n){ auto it=*this; return it+=n; } auto operator-(ll n){ auto it=*this; return it-=n; } ll operator- (const view1dIter<T,S,R> &it)const{ return idx- it.idx; } bool operator< (const view1dIter<T,S,R> &it)const{ return idx< it.idx; } bool operator> (const view1dIter<T,S,R> &it)const{ return idx> it.idx; } bool operator<=(const view1dIter<T,S,R> &it)const{ return idx<=it.idx; } bool operator>=(const view1dIter<T,S,R> &it)const{ return idx>=it.idx; } bool operator!=(const view1dIter<T,S,R> &it)const{ return idx!=it.idx; } bool operator==(const view1dIter<T,S,R> &it)const{ return idx==it.idx; } using iterator_category = random_access_iterator_tag; using value_type = R; using difference_type = ll; using pointer = R*; using reference = R&; }; template<class T,size_t S,class R> struct view1d{ using Sll=array<ll,S>; T &data; //参照先データ Sll dsize; //参照先データ各軸のサイズ Sll s=Sll(); //view先頭 Sll d=Sll(); //view方向 ll len; //view長さ R &dummy; //範囲外の値参照 R dummyj=R(); //範囲外の値実体 /*---- コンストラクタ ----*/ view1d(T &v): data(v),dummy(dummyj){ SetDsize(v,dsize); d[S-1]=1; len=dsize[S-1]; } //このコンストラクタは、マイナス座標指定を末尾にしない(暫定) //代入時Array<ll,2>{...}等と書くため、使い勝手悪い。将来廃止するかも。 view1d(T &v,Sll s,Sll e,Sll d): data(v),s(s),d(d),len(Len(s,e,d)),dummy(dummyj){ SetDsize(v,dsize); } view1d(T &v,Sll s,Sll d,ll len,R &dmy_): data(v),s(s),d(d),len(len),dummy(dmy_){ SetDsize(v,dsize); } /*---- 演算 ----*/ template<class Q> auto &operator =(const Q &b){ rep(i,0,len-1) (*this)[i] =b; return *this; } template<class Q> auto &operator+=(const Q &b){ rep(i,0,len-1) (*this)[i]+=b; return *this; } template<class Q> auto &operator-=(const Q &b){ rep(i,0,len-1) (*this)[i]-=b; return *this; } template<class Q> auto &operator*=(const Q &b){ rep(i,0,len-1) (*this)[i]*=b; return *this; } template<class Q> auto &operator/=(const Q &b){ rep(i,0,len-1) (*this)[i]/=b; return *this; } template<class Q> auto &operator%=(const Q &b){ rep(i,0,len-1) (*this)[i]%=b; return *this; } auto &operator =(const string &b){ return CpSeq(b); } template<size_t Q> auto &operator =(const char (&b)[Q]){ return *this=string(b); } template<class Q> auto &operator =(const vector<Q> &b){ return CpSeq(b); } template<class Q> auto &operator+=(const vector<Q> &b){ return PlSeq(b); } template<class Q> auto &operator-=(const vector<Q> &b){ return MnSeq(b); } template<class Q> auto &operator*=(const vector<Q> &b){ return PrSeq(b); } template<class Q> auto &operator/=(const vector<Q> &b){ return DvSeq(b); } template<class Q> auto &operator%=(const vector<Q> &b){ return RmSeq(b); } template<class Q,size_t P,class O> auto &operator =(const view1d<Q,P,O> &b){ return CpSeq(b); } template<class Q,size_t P,class O> auto &operator+=(const view1d<Q,P,O> &b){ return PlSeq(b); } template<class Q,size_t P,class O> auto &operator-=(const view1d<Q,P,O> &b){ return MnSeq(b); } template<class Q,size_t P,class O> auto &operator*=(const view1d<Q,P,O> &b){ return PrSeq(b); } template<class Q,size_t P,class O> auto &operator/=(const view1d<Q,P,O> &b){ return DvSeq(b); } template<class Q,size_t P,class O> auto &operator%=(const view1d<Q,P,O> &b){ return RmSeq(b); } template<class Q> auto &CpSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i] =b[i]; return *this; } template<class Q> auto &PlSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]+=b[i]; return *this; } template<class Q> auto &MnSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]-=b[i]; return *this; } template<class Q> auto &PrSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]*=b[i]; return *this; } template<class Q> auto &DvSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]/=b[i]; return *this; } template<class Q> auto &RmSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]%=b[i]; return *this; } //template<class Q,class P> static bool eq(const Q &a,const P &b){ // return equals(ALL(a),ALL(b)); //} template<class Q,class P> static bool eq(const Q &a,const P &b){ if ((ll)a.size()!=(ll)b.size()) return false; rep(i,0,(ll)a.size()-1){ if (a[i]!=b[i]) return false; } return true; } template<class Q,class P> static bool lt(const Q &a,const P &b){ ll n=min((ll)a.size(),(ll)b.size()); rep(i,0,n-1){ if (a[i]<b[i])return true; if (a[i]>b[i])return false; } return (ll)a.size()<(ll)b.size(); } template<class Q,size_t P,class O> bool operator==( const view1d<Q,P,O> &b){ return eq(*this,b); } template<class Q> bool operator==( const Q &b){ return eq(*this,b); } template<class Q> friend bool operator==(const Q &a,const view1d<T,S,R> &b){ return eq( a,b); } template<size_t Q> bool operator==( const char (&b)[Q]){ return eq(*this,string(b)); } template<class Q,size_t P,class O> bool operator!=( const view1d<Q,P,O> &b){ return !(*this==b); } template<class Q> bool operator!=( const Q &b){ return !(*this==b); } template<class Q> friend bool operator!=(const Q &a,const view1d<T,S,R> &b){ return !( a==b); } template<class Q,size_t P,class O> bool operator< ( const view1d<Q,P,O> &b){ return lt(*this,b); } template<class Q> bool operator< ( const Q &b){ return lt(*this,b); } template<class Q> friend bool operator< (const Q &a,const view1d<T,S,R> &b){ return lt( a,b); } template<class Q,size_t P,class O> bool operator> ( const view1d<Q,P,O> &b){ return lt(b,*this); } template<class Q> bool operator> ( const Q &b){ return lt(b,*this); } template<class Q> friend bool operator> (const Q &a,const view1d<T,S,R> &b){ return lt(b,a ); } template<class Q,size_t P,class O> bool operator<=( const view1d<Q,P,O> &b){ return !(*this>b); } template<class Q> bool operator<=( const Q &b){ return !(*this>b); } template<class Q> friend bool operator<=(const Q &a,const view1d<T,S,R> &b){ return !( a>b); } template<class Q,size_t P,class O> bool operator>=( const view1d<Q,P,O> &b){ return !(*this<b); } template<class Q> bool operator>=( const Q &b){ return !(*this<b); } template<class Q> friend bool operator>=(const Q &a,const view1d<T,S,R> &b){ return !( a<b); } /*---- getter ----*/ ll size() const { return len; } R &operator[](ll i){ return const_cast<R&>(OrgAt(s+d*i)); } const R &operator[](ll i) const { return OrgAt(s+d*i); } R &at(ll i){ if(i<0)i+=len; return (*this)[i]; } //vector<R> tov(){ vector<R> vvv(len); rep(i,0,len-1) vvv[i]=(*this)[i]; return vvv; } operator vector<R>(){ vector<R> v(len); rep(i,0,len-1) v[i]=(*this)[i]; return v; } bool contains(R a){ rep(i,0,len-1) if((*this)[i]==a)return true; return false; } auto begin(){ return view1dIter<T,S,R>(this,0); } auto end(){ return view1dIter<T,S,R>(this,len); } /*---- view設定 ----*/ view1d<T,S,R> &dmy(R dmy_) { dummy=dmy_; return *this; }//ダミー値セット template<class...Q> view1d<T,S,R> &st(Q... s_){//始点set 負は末尾からの位置 this->s=RevIfNeg(SllD(s_...)); this->len=AutoLen(this->s,this->d,this->dsize); return *this; } template<class...Q> view1d<T,S,R> &en(Q... e_){//終了条件再設定 負は末尾から this->len=Len(s, RevIfNeg(SllD(e_...)), d); return *this; } template<class...Q> view1d<T,S,R> &dir(Q... d_){//方向set、長さはdata端まで this->d=SllD(d_...); this->len=AutoLen(this->s,this->d,this->dsize); return *this; } template<class...Q> view1d<T,S,R> &mv(Q... s_){ this->s+=SllD(s_...); return *this; }//平行移動 view1d<T,S,R> &size(ll len_) { len=len_; return *this; }//長さset template<class Q> view1d<T,S,R> &size(Q &v){ len=(ll)v.size(); return *this; }//長さset view1d<T,S,R> &rev() { s+=d*(len-1); d*=-1; return *this; }//反転 /*---- utility ----*/ template<class Q> inline static ll sz(Q &v){ return (ll)v.size(); } Sll RevIfNeg(Sll pos){//!< 負なら末尾からの位置に変換 rep(i,0,S-1) if (pos[i]<0) pos[i]+=dsize[i]; return pos; } static ll AutoLen(Sll s_,Sll d_,Sll dsz){//位置s_から方向d_ではみ出すまでの長さ Sll e=dsz-1; rep(i,0,S-1) e[i] *= (d_[i]>=0);//方向が負の軸を0にする return Len(s_,e,d_); } /*---- 先頭位置s、方向d、終了条件eから長さlen計算 ----*/ //template<size_t Q> static ll Len(array<ll,Q> s,array<ll,Q> e,array<ll,Q> d){ // ll ret=INF; // rep(i,0,Q-1) chmin(ret, Len1(s[i],e[i],d[i])); // return ret; //} static ll Len(Sll s,Sll e,Sll d){ ll ret=INF; rep(i,0,S-1) chmin(ret, Len1(s[i],e[i],d[i])); return ret; } static ll Len1(ll s,ll e,ll d){ if (d==0) return INF; if (d<0){ s=-s; e=-e; d=-d; } if (s>e) return 0; return (e-s)/d+1; } /*---- 可変長引数をSllに変換 ----*/ template<class...Q> static Sll SllD(Q... args){ return SllRec(0,args...); } template<class...Q> static Sll SllRec(ll i,ll first,Q... rest) { Sll sll = (i==S-1) ? Sll() : SllRec(i+1,rest...); sll[i]=first; return sll; } static Sll SllRec(ll i){ return Sll(); } /*---- dataの位置posの値取得 ----*/ const R &OrgAt(Sll pos) const { rep(i,0,S-1){ if (pos[i]<0 || dsize[i]<=pos[i]) return dummy; } return OrgAt_(data,pos); } template<class Q> using V = vector<Q>; template<class Q> using VV = V<V<Q>>; template<class Q> using VVV = V<V<V<Q>>>; using Vs = V<string>; using VVs = VV<string>; using ll1 = array<ll,1>; using ll2 = array<ll,2>; using ll3 = array<ll,3>; auto &OrgAt_(V<R> &dat,ll1 pos)const{ auto [i] =pos; return dat[i]; } auto &OrgAt_(string &dat,ll1 pos)const{ auto [i] =pos; return dat[i]; } auto &OrgAt_(VV<R> &dat,ll2 pos)const{ auto [i,j] =pos; return dat[i][j]; } auto &OrgAt_(Vs &dat,ll2 pos)const{ auto [i,j] =pos; return dat[i][j]; } auto &OrgAt_(VVV<R> &dat,ll3 pos)const{ auto [i,j,k]=pos; return dat[i][j][k]; } auto &OrgAt_(VVs &dat,ll3 pos)const{ auto [i,j,k]=pos; return dat[i][j][k]; } /*---- dataの各軸size取得 ----*/ static void SetDsize(V<R> &dat,ll1 &dsz){ dsz={sz(dat)}; } static void SetDsize(string &dat,ll1 &dsz){ dsz={sz(dat)}; } static void SetDsize(VV<R> &dat,ll2 &dsz){ dsz={sz(dat),sz(dat[0])}; } static void SetDsize(Vs &dat,ll2 &dsz){ dsz={sz(dat),sz(dat[0])}; } static void SetDsize(VVV<R> &dat,ll3 &dsz){ dsz={sz(dat),sz(dat[0]),sz(dat[0][0])}; } static void SetDsize(VVs &dat,ll3 &dsz){ dsz={sz(dat),sz(dat[0]),sz(dat[0][0])}; } typedef view1dIter<T,S,R> iterator; using value_type = R; }; template<class Q> using V = vector<Q>; template<class Q> using VV = V<V<Q>>; template<class Q> using VVV = V<V<V<Q>>>; template<class T> view1d( VVV<T> ) -> view1d< VVV<T>,3,T>; template<class T> view1d( VV<T> ) -> view1d< VV<T>,2,T>; template<class T> view1d( V<T> ) -> view1d< V<T>,1,T>; ; view1d(VV<string> ) -> view1d<VV<string>,3,char>; ; view1d( V<string> ) -> view1d< V<string>,2,char>; ; view1d( string ) -> view1d< string ,1,char>; template<class T,class S> view1d( VVV<T>,S,S,S) -> view1d< VVV<T>,3,T>; template<class T,class S> view1d( VV<T>,S,S,S) -> view1d< VV<T>,2,T>; template<class T,class S> view1d( V<T>,S,S,S) -> view1d< V<T>,1,T>; template<class S> view1d(VV<string>,S,S,S) -> view1d<VV<string>,3,char>; template<class S> view1d( V<string>,S,S,S) -> view1d< V<string>,2,char>; template<class S> view1d( string ,S,S,S) -> view1d< string ,1,char>; template<class VIEW2D> struct view2dIter{ VIEW2D *vw=nullptr; ll idx=INF; view2dIter(){} view2dIter(VIEW2D *vw_,ll idx_):vw(vw_),idx(idx_){} view2dIter(const view2dIter &it):vw(it.vw),idx(it.idx){} auto &operator*() { return (*vw)[x(idx)][y(idx)]; } auto &operator*() const{ return (*vw)[x(idx)][y(idx)]; } auto &operator[](ll i) { return (*vw)[x(idx+i)][y(idx+i)]; } auto &operator[](ll i)const{ return (*vw)[x(idx+i)][y(idx+i)]; } auto &operator++(){ idx++; return *this; } auto &operator--(){ idx--; return *this; } auto operator++(int){ auto it=*this; idx++; return it; } auto operator--(int){ auto it=*this; idx--; return it; } auto &operator+=(ll n){ idx+=n; return *this; } auto &operator-=(ll n){ idx-=n; return *this; } auto operator+(ll n){ auto it=*this; return it+=n; } auto operator-(ll n){ auto it=*this; return it-=n; } ll operator- (const view2dIter &it)const{ return idx- it.idx; } bool operator< (const view2dIter &it)const{ return idx< it.idx; } bool operator> (const view2dIter &it)const{ return idx> it.idx; } bool operator<=(const view2dIter &it)const{ return idx<=it.idx; } bool operator>=(const view2dIter &it)const{ return idx>=it.idx; } bool operator!=(const view2dIter &it)const{ return idx!=it.idx; } bool operator==(const view2dIter &it)const{ return idx==it.idx; } ll x(ll i)const{ return i/vw->leny(); } ll y(ll i)const{ return i%vw->leny(); } using iterator_category = random_access_iterator_tag; using value_type = typename VIEW2D::value_type; using difference_type = ll; using pointer = value_type*; using reference = value_type&; }; template<class T,size_t S,class R> struct view2d{ using Sll=array<ll,S>; T &data; //参照先データ Sll dsize; //参照先データ各軸のサイズ Sll s=Sll(); //view始点 Sll dx=Sll(); //view x軸方向 Sll dy=Sll(); //view y軸方向 ll xl; //view x軸長さ ll yl; //view y軸長さ R dummy=R(); //範囲外の値 /*---- コンストラクタ ----*/ view2d(T &v): data(v){ view1d<T,S,R>::SetDsize(v,dsize); dx[S-2]=1; dy[S-1]=1; xl=dsize[S-2]; yl=dsize[S-1]; } /*---- 演算 ----*/ //template<class Q> auto &operator =(const Q &b){ rep(i,0,xl-1) (*this)[i] =b; return *this; } //template<class Q,size_t P,class O> auto &operator+=(const view2d<Q,P,O> &b){ // rep(i,0,xl-1) (*this)[i] // return PlSeq(b); } /*---- getter ----*/ ll size() const { return xl; } array<ll,2> shape() const { return {xl,yl}; } ll lenx() const { return xl; } ll leny() const { return yl; } ///pll shape() const { return {xl,yl}; } view1d<T,S,R> operator[](ll i){ return view1d(data,s+dx*i,dy,yl,dummy); } const view1d<T,S,R> operator[](ll i) const { return view1d(data,s+dx*i,dy,yl,dummy); } R &at(ll i,ll j){ if(i<0)i+=xl; if(j<0)j+=yl; return (*this)[i][j]; } //vector<vector<R>> tovv(){ // vector<vector<R>> vvv(xl); // ///rep(i,0,xl-1) vvv[i]=(*this)[i].tov(); return vvv; // rep(i,0,xl-1) vvv[i]=(*this)[i]; return vvv; //} operator vector<vector<R>>(){ vector<vector<R>> v(xl); rep(i,0,xl-1){ v[i]=(*this)[i]; } return v; } auto begin(){ return view2dIter(this,0); } auto end(){ return view2dIter(this,xl*yl); } #if defined(_DEBUG) void dump(){ ::dump(tovv()); } #endif /*---- view設定 ----*/ view2d<T,S,R> &dmy(R dmy_) { dummy=dmy_; return *this; }//ダミー値セット template<class...Q> view2d<T,S,R> &st(Q... s_){//始点set 負は末尾からの位置 this->s=RevIfNeg(view1d<T,S,R>::SllD(s_...)); this->xl=view1d<T,S,R>::AutoLen(this->s,this->dx,this->dsize); this->yl=view1d<T,S,R>::AutoLen(this->s,this->dy,this->dsize); return *this; } template<class...Q> view2d<T,S,R> &dirx(Q... d_){//x軸set、長さはdata端まで this->dx=view1d<T,S,R>::SllD(d_...); this->xl=view1d<T,S,R>::AutoLen(this->s,this->dx,this->dsize); return *this; } template<class...Q> view2d<T,S,R> &diry(Q... d_){//y軸set、長さはdata端まで this->dy=view1d<T,S,R>::SllD(d_...); this->yl=view1d<T,S,R>::AutoLen(this->s,this->dy,this->dsize); return *this; } template<class...Q> view2d<T,S,R> &mv(Q... s_){//平行移動 this->s += view1d<T,S,R>::SllD(s_...); return *this; } view2d<T,S,R> &lenx(ll xl_) { xl=xl_; return *this; } view2d<T,S,R> &leny(ll yl_) { yl=yl_; return *this; } view2d<T,S,R> &shape(ll xl_,ll yl_) { xl=xl_; yl=yl_; return *this; } template<class Q> view2d<T,S,R> &shape(Q &v) { xl=v.lenx(); yl=v.leny(); return *this; } view2d<T,S,R> &rot90 () { s+=dx*(xl-1); swap(xl,yl); swap(dx,dy); dy*=-1; return *this; } view2d<T,S,R> &rot270() { s+=dy*(yl-1); swap(xl,yl); swap(dx,dy); dx*=-1; return *this; } view2d<T,S,R> &rot180() { s+=dx*(xl-1)+dy*(yl-1); dx*=-1; dy*=-1; return *this; } view2d<T,S,R> &revx() { s+=dx*(xl-1); dx*=-1; return *this; } view2d<T,S,R> &revy() { s+=dy*(yl-1); dy*=-1; return *this; } view2d<T,S,R> &swapxy() { swap(xl,yl); swap(dx,dy); return *this; }//xy軸入替 /*---- utility ----*/ Sll RevIfNeg(Sll pos){//!< 負なら末尾からの位置に変換 rep(i,0,S-1) if (pos[i]<0) pos[i]+=dsize[i]; return pos; } using value_type = R; }; template<class T> view2d( VVV<T>) -> view2d< VVV<T>,3,T>; template<class T> view2d( VV<T>) -> view2d< VV<T>,2,T>; ; view2d(VV<string>) -> view2d<VV<string>,3,char>; ; view2d( V<string>) -> view2d< V<string>,2,char>; /* zipは参照のpairを返す。それをさらに参照するのはまずいので、コピーする。 */ template<class ZIP> struct zipIter{ ZIP *z=nullptr; ll idx=INF; zipIter(){} zipIter(ZIP *z_,ll idx_):z(z_),idx(idx_){} zipIter(const zipIter<ZIP> &it):z(it.z),idx(it.idx){} auto operator*() { return (*z)[idx]; }//参照ではなく値戻し auto operator*() const{ return (*z)[idx]; }//同上 auto operator[](ll i) { return (*z)[idx+i]; }//同上 auto operator[](ll i)const{ return (*z)[idx+i]; }//同上 auto &operator++(){ idx++; return *this; } auto &operator--(){ idx--; return *this; } auto operator++(int){ auto it=*this; idx++; return it; } auto operator--(int){ auto it=*this; idx--; return it; } auto &operator+=(ll n){ idx+=n; return *this; } auto &operator-=(ll n){ idx-=n; return *this; } auto operator+(ll n){ auto it=*this; return it+=n; } auto operator-(ll n){ auto it=*this; return it-=n; } ll operator- (const zipIter<ZIP> &it)const{ return idx- it.idx; } bool operator< (const zipIter<ZIP> &it)const{ return idx< it.idx; } bool operator> (const zipIter<ZIP> &it)const{ return idx> it.idx; } bool operator<=(const zipIter<ZIP> &it)const{ return idx<=it.idx; } bool operator>=(const zipIter<ZIP> &it)const{ return idx>=it.idx; } bool operator!=(const zipIter<ZIP> &it)const{ return idx!=it.idx; } bool operator==(const zipIter<ZIP> &it)const{ return idx==it.idx; } using iterator_category = random_access_iterator_tag; using value_type = typename ZIP::value_type; using difference_type = ll; using pointer = value_type*; using reference = value_type&; }; template<class T,class S> struct zip2{ T &t; S &s; zip2(T &t_,S &s_):t(t_),s(s_){} ll size() const { return t.end()-t.begin(); } auto operator[](ll i) { return make_pair(ref(t.begin()[i]),ref(s.begin()[i])); } auto operator[](ll i)const{ return make_pair(ref(t.begin()[i]),ref(s.begin()[i])); } auto begin(){ return zipIter(this,0); } auto end(){ return zipIter(this,size()); } using value_type = pair<typename T::value_type,typename S::value_type>; }; template<class T,class S,class R> struct zip3{ T &t; S &s; R &r; zip3(T &t_,S &s_,R &r_):t(t_),s(s_),r(r_){} ll size() const { return t.end()-t.begin(); } auto operator[](ll i) { return make_tuple(ref(t.begin()[i]),ref(s.begin()[i]),ref(r.begin()[i])); } auto operator[](ll i)const{ return make_tuple(ref(t.begin()[i]),ref(s.begin()[i]),ref(r.begin()[i])); } auto begin(){ return zipIter(this,0); } auto end(){ return zipIter(this,size()); } using value_type = tuple<typename T::value_type,typename S::value_type,typename R::value_type>; }; #endif//テンプレートend #if defined(_MSC_VER) && __has_include(<atcoder/all>) #include <atcoder/all> using namespace atcoder; #endif #if defined(_MSC_VER) #pragma warning( disable : 4996 ) #endif struct{ system_clock::time_point st = system_clock::now(); ll operator()()const{return duration_cast<microseconds>(system_clock::now()-st).count()/1000;} } timeget; ////////////////////////////////////////// struct cinutil{ template<class T> static void cin1core(T &a){ cin>>a; } template<class T,class S> static void cin1core(pair<T,S> &a){ cin1core(a.first), cin1core(a.second); } template<class... Args> static void cin1core(tuple<Args...> &a){ cinTplRec<tuple<Args...>,sizeof...(Args)-1>()(a); } template<class T,size_t N> static void cin1core(array<T,N> &a){for(int i=0;i<(int)N;++i) cin>>a[i];} private: template<class Tpl,int i> struct cinTplRec{ void operator()(Tpl &a){ cinTplRec<Tpl,i-1>()(a); cin1core(get<i>(a)); } }; template<class Tpl> struct cinTplRec<Tpl,0>{ void operator()(Tpl &a){ cin1core(get<0>(a)); } }; }; template<class T> T cin1(){ T a; cinutil::cin1core(a); return a; } template<class... Args> tuple<Args...> cins(){ return cin1<tuple<Args...>>(); } template<long long MOD> struct mll_{ using Int = long long; using ll = long long; ll val_=0; /*---- utility ----*/ mll_ &norm(){ return normR().normS(); }//正規化 mll_ &normR(){ val_%=MOD; return *this; }//剰余正規化のみ mll_ &normS(){ if (val_<0) val_+=MOD; return *this; }//正負正規化のみ mll_ &normP(){ if (val_>=MOD) val_-=MOD; return *this; }//加算時正規化 mll_ &invsg(){ val_=-val_; return normS(); }//正負反転 ll modinv(int a){//a^-1 mod MOD int ypre=0,y=1,apre=MOD; while (a>1){ int t=apre/a; apre-=a*t,swap(a,apre); ypre-=y*t,swap(y,ypre); } return y<0 ? y+MOD: y; } /*---- I/F ----*/ mll_(){} mll_(ll v): val_(v){ norm(); } mll_(ll v,bool b): val_(v){} //正規化無のコンストラクタ Int val()const{ return (Int)val_; } bool isnone() const { return val_==-1; } //true:値なし mll_ &none() { val_=-1; return *this; } //値なしにする mll_ &inv(){ val_=modinv((int)val_); return *this; } mll_ &operator+=(mll_ b){ val_+=b.val_; return normP(); } mll_ &operator-=(mll_ b){ val_-=b.val_; return normS(); } mll_ &operator*=(mll_ b){ val_*=b.val_; return normR(); } mll_ &operator/=(mll_ b){ return *this*=b.inv(); } mll_ &operator+=(ll b){ return *this+=mll_(b); } mll_ &operator-=(ll b){ return *this-=mll_(b); } mll_ &operator*=(ll b){ return *this*=mll_(b); } mll_ &operator/=(ll b){ return *this/=mll_(b); } mll_ operator-()const{ return mll_(*this).invsg(); } mll_ operator+(mll_ b)const{ return mll_(*this)+=b; } mll_ operator-(mll_ b)const{ return mll_(*this)-=b; } mll_ operator*(mll_ b)const{ return mll_(*this)*=b; } mll_ operator/(mll_ b)const{ return mll_(*this)/=b; } mll_ operator+(ll b)const{ return mll_(*this)+=b; } mll_ operator-(ll b)const{ return mll_(*this)-=b; } mll_ operator*(ll b)const{ return mll_(*this)*=b; } mll_ operator/(ll b)const{ return mll_(*this)/=b; } friend mll_ operator+(ll a,mll_ b){ return b+a; } friend mll_ operator-(ll a,mll_ b){ return -b+a; } friend mll_ operator*(ll a,mll_ b){ return b*a; } friend mll_ operator/(ll a,mll_ b){ return mll_(a)/b; } bool operator==(mll_ b)const{ return val_==b.val_; } bool operator!=(mll_ b)const{ return val_!=b.val_; } bool operator==(ll b)const{ return *this==mll_(b); } bool operator!=(ll b)const{ return *this!=mll_(b); } friend bool operator==(ll a,mll_ b){ return mll_(a)==b; } friend bool operator!=(ll a,mll_ b){ return mll_(a)!=b; } friend ostream &operator<<(ostream &os,mll_ a){ return os << a.val_; } friend istream &operator>>(istream &is,mll_ &a){ return is >> a.val_; } mll_ pow(ll k)const{ mll_ ret(1,false),a(*this); for (; k>0; k>>=1,a*=a) if (k&1)ret*=a; return ret; } static constexpr int mod() { return MOD; } //enum{ modll=MOD }; }; #if 0 #define MODLL (1000000007LL) #else #define MODLL (998244353LL) #endif using mll = mll_<MODLL>; //using mll = fraction; using vmll = std::vector<mll>; using vvmll = std::vector<vmll>; using vvvmll = std::vector<vvmll>; using vvvvmll = std::vector<vvvmll>; template<class T> struct Vector: vector<T>{ using Int = long long; using vT=vector<T>; using cvT=const vector<T>; using cT=const T; using vT::vT; //親クラスのコンストラクタの隠蔽を回避 using vT::begin,vT::end,vT::insert,vT::erase; auto it(Int i){ return begin()+i; } auto it(Int i)const{ return begin()+i; } Vector(cvT& b):vT(b){} Vector(vT&& b):vT(move(b)){} template<class S> Vector(const Vector<S>& b):vT(b.begin(),b.end()){} template<class S> Vector(const vector<S>& b):vT(b.begin(),b.end()){} Vector(Int n,T s,T d){ iota(n,s,d); } Vector(Int n,function<T(Int)> g):vT(n){ for(Int i=0;i<n;++i) (*this)[i]=g(i); } template<class S> Vector &operator+=(S x){ for(T &e: *this) e+=x; return *this; } template<class S> Vector &operator-=(S x){ for(T &e: *this) e-=x; return *this; } template<class S> Vector &operator*=(S x){ for(T &e: *this) e*=x; return *this; } template<class S> Vector &operator/=(S x){ for(T &e: *this) e/=x; return *this; } template<class S> Vector &operator%=(S x){ for(T &e: *this) e%=x; return *this; } template<class S> Vector operator+(S x)const{ return Vector(*this)+=x; } template<class S> Vector operator-(S x)const{ return Vector(*this)-=x; } template<class S> Vector operator*(S x)const{ return Vector(*this)*=x; } template<class S> Vector operator/(S x)const{ return Vector(*this)/=x; } template<class S> Vector operator%(S x)const{ return Vector(*this)%=x; } Vector operator-()const{ return Vector(*this)*=-1; } template<class S> friend Vector operator-(S x,const Vector &a){ return -a+=x; } Int size()const{ return (Int)vT::size(); } Vector &push_back(cT& x){ vT::push_back(x); return *this; } Vector &pop_back(){ vT::pop_back(); return *this; } Vector &push_front(cT& x){ insert(begin(),x); return *this; } Vector &pop_front(){ erase(0); return *this; } T pull_back(){ T x=move(vT::back()); vT::pop_back(); return x; } T pull_front(){ T x=move(vT::front()); erase(0); return x; } Vector &insert(Int i,cT& x){ insert(it(i),x); return *this; } Vector &insert(Int i,cvT& b){ insert(it(i),b.begin(),b.end()); return *this; } Vector &erase(Int i){ erase(it(i)); return *this; } Vector &erase(Int l,Int r){ erase(it(l),it(r+1)); return *this; } Vector &concat(cvT &b){ insert(end(),b.begin(),b.end()); return *this; } Vector &concat(cvT &b,Int n){ for(int i=0;i<n;++i) concat(b); return *this; } Vector &repeat(Int n){ concat(vT(*this),n-1); return *this; } Vector &reverse(){ std::reverse(begin(),end()); return *this; } Vector &sort(){ std::sort(begin(),end()); return *this; } Vector &rsort(){ std::sort(vT::rbegin(),vT::rend()); return *this; } template<class Pr> Vector &sort(Pr pr){ std::sort(begin(),end(),pr); return *this; } Vector &uniq(){ erase(unique(begin(),end()),end()); return *this; } Vector &sortq(){ return sort().uniq(); } Vector &fill(Int l,Int r,cT& x){ std::fill(it(l),it(r+1),x); return *this; } template<class S=Int> Vector &iota(Int n,T s=0,S d=1){ vT::resize(n); if(n==0) return *this; (*this)[0]=s; for(int i=1;i<n;++i) (*this)[i]=(*this)[i-1]+d; return *this; } Int count(cT& x)const{ return Int(std::count(begin(),end(),x)); } Int count(Int l,Int r,cT& x)const{ return Int(std::count(it(l),it(r+1),x)); } template<class Pr> Int countif(Pr pr)const{ return Int(count_if(begin(),end(),pr)); } template<class Pr> Int countif(Int l,Int r,Pr pr)const{ return Int(count_if(it(l),it(r+1),pr)); } Int find(cT& x)const{ return Int(std::find(begin(),end(),x)-begin()); } Int find(Int l,Int r,cT& x)const{ return Int(std::find(it(l),it(r+1),x)-begin()); } template<class Pr> Int findif(Pr pr)const{ return Int(find_if(begin(),end(),pr)-begin()); } template<class Pr> Int findif(Int l,Int r,Pr pr)const{ return Int(find_if(it(l),it(r+1),pr)-begin()); } Vector<Int> findall(cT& x)const{ return findall(0,size()-1,x); } Vector<Int> findall(Int l,Int r,cT& x)const{ return findallif(l,r,[&](cT& y){return y==x;}); } template<class Pr> Vector<Int> findallif(Pr pr)const{ return findallif(0,size()-1,pr); } template<class Pr> Vector<Int> findallif(Int l,Int r,Pr pr)const{ Vector<Int> ret; for(Int i=l;i<=r;++i) if(pr((*this)[i])) ret.push_back(i); return ret; } Int flooridx(cT& x)const{ return Int(upper_bound(begin(),end(),x)-begin()-1); } Int ceilidx(cT& x)const{ return Int(lower_bound(begin(),end(),x)-begin()); } Int leftnmof(cT& x)const{ return flooridx(x)+1; } Int rightnmof(cT& x)const{ return size()-ceilidx(x); } bool contains(cT& x)const{ Int i=flooridx(x); return i>=0 && (*this)[i]==x; } template<class Pr> Int flooridx(cT& x,Pr pr)const{ return Int(upper_bound(begin(),end(),x,pr)-begin()-1); } template<class Pr> Int ceilidx(cT& x,Pr pr)const{ return Int(lower_bound(begin(),end(),x,pr)-begin()); } template<class Pr> Int leftnmof(cT& x,Pr pr)const{ return flooridx(x,pr)+1; } template<class Pr> Int rightnmof(cT& x,Pr pr)const{ return size()-ceilidx(x,pr); } template<class Pr> bool contains(cT& x,Pr pr)const{ Int i=flooridx(x,pr); return i>=0 && (*this)[i]==x; } }; /* vll a={9,8,7},b={1,2,3}; vpll p={{5,3},{7,8},{0,2},}; - -------- 操作系 -------- a+=x a-=x a*=x a/=x a%=x a+x a-x a*x a/x a%x -a x-a //∀i a[i]にxを演算 a.push_front(x); a.push_back(x); a.pop_front(); a.pop_back(); ll x=a.pull_front(); //pop_front()と同時に値取得 ll x=a.pull_back(); //pop_back()と同時に値取得 a.insert(i,x); //a[i]にx挿入 a.insert(i,b); //a[i]にvll b挿入 a.erase(i); //a[i]削除 a.erase(l,r); //区間[l,r]削除 a.concat(b); //aにbを結合 a.concat(b,n); //aにbをn回結合 a.repeat(n); //aをn回繰り返す a.reverse(); //反転 a.sort(); //ソート a.rsort(); //逆順ソート p.sort([&](pll x,pll y){return x.second<y.second;});//比較関数指定ソート a.uniq(); //連続同値を1つにする a.sortq(); //ソートしてユニーク a.fill(l,r,x); //[l,r]にx代入 a.iota(n,s,d); //aを等差数列にする 長さn,初項s,公差d vll a(n,s,d); //コンストラクタ版iota - -------- 検索系 -------- auto pr=[&](auto &x){ return x>0; }; //検索条件 ll m=a.count(x); //xの個数 ll m=a.count(l,r,x); //xの個数in[l,r] ll m=a.countif(pr); //条件満たす個数 ll m=a.countif(l,r,pr); //条件満たす個数in[l,r] ll i=a.find(x); //xの最左位置i ない時N(配列長) ll i=a.find(l,r,x); //xの最左位置i in[l,r] ない時r+1 ll i=a.findif(pr); //条件満たす最左位置i ない時N(配列長) ll i=a.findif(l,r,pr); //条件満たす最左位置i in[l,r] ない時r+1 vll is=a.findall(x); //xの位置i列挙 vll is=a.findall(l,r,x); //xの位置i列挙in[l,r] vll is=a.findallif(pr); //条件満たす位置i列挙 vll is=a.findallif(l,r,pr); //条件満たす位置i列挙in[l,r] - -------- 昇順sort済み配列用 -------- ll i=a.flooridx(x); //x以下の最近傍位置i ない時-1 ll i=a.ceilidx(x); //x以上の最近傍位置i ない時N(配列長) ll m=a.leftnmof(x); //x以下の個数 ll m=a.rightnmof(x); //x以上の個数 bool b=a.contains(x); //xを含む - -------- 比較関数prでsort済みの配列用 -------- auto pr=[&](auto &x,auto &y){ return x>y; }; //降順ソート時 ll i=a.flooridx(x,pr); //x以左の最近傍位置i ない時-1 ll i=a.ceilidx(x,pr); //x以右の最近傍位置i ない時N(配列長) ll m=a.leftnmof(x,pr); //x以左の個数 ll m=a.rightnmof(x,pr); //x以右の個数 bool b=a.contains(x,pr); //xを含む a.concat(b,n).pop_back().rsort().uniq(); //連続適用できる */ namespace SolvingSpace{ template<class T> using vector = Vector<T>; using vll=vector< ll>; using vmll=vector< mll>; using vdd=vector< dd>; using vvll=vector< vll>; using vvmll=vector< vmll>; using vvdd=vector< vdd>; using vvvll=vector< vvll>; using vvvmll=vector< vvmll>; using vvvdd=vector<vvdd>; using vvvvll=vector<vvvll>; using vvvvmll=vector<vvvmll>; using vpll=vector< pll>; using vtll=vector< tll>; using vqll=vector< qll>; using vvpll=vector< vpll>; using vvtll=vector< vtll>; using vvqll=vector<vqll>; using vss=vector<string>; using ll2=array<ll,2>; using ll3=array<ll,3>; using ll4=array<ll,4>; using vll2=vector< ll2>; using vll3=vector< ll3>; using vll4=vector< ll4>; using vvll2=vector< vll2>; using vvll3=vector< vll3>; using vvll4=vector< vll4>; using vvvll2=vector<vvll2>; using vvvll3=vector<vvll3>; using vvvll4=vector<vvll4>; template<class T> vector<T> cinv(ll nm){ return vector<T>(nm,[](ll i){ (void)i; return cin1<T>(); }); } template<class T> vector<vector<T>> cinvv(ll H,ll W){ return vector<vector<T>>(H,[&](ll i){ (void)i; return cinv<T>(W); }); } template<int DIM> struct rangeNd{ using Int = long long; using NInt = array<Int,DIM>; NInt sv,ev,lv,dv; //各変数の初期値,終了値,項数,公差(通常±1) Int size_=1; NInt cyclemask; rangeNd(const NInt &sv_,const NInt &ev_,Int cycle=-1): sv(sv_),ev(ev_){ for(ll i=0;i<DIM;++i) lv[i]=abs(sv[i]-ev[i])+1; for(ll i=0;i<DIM;++i) dv[i]=sign(ev[i]-sv[i]); for(ll i=0;i<DIM;++i) size_*=lv[i]; for(ll i=0;i<DIM;++i) cyclemask[i]=~0; if(cycle!=-1) cyclemask[0]=cycle-1; } Int size()const{ return size_; } Int csize()const{ return size_/lv[0]; } bool isCycle()const{ return cyclemask[0]!=~0; } Int cycle()const{ return isCycle() ? cyclemask[0]+1 : -1; } tuple<Int,Int,Int,Int> SELDx()const{ return SELDof(0); } tuple<Int,Int,Int,Int> SELDy()const{ return SELDof(1); } tuple<Int,Int,Int,Int> SELDz()const{ return SELDof(2); } tuple<Int,Int,Int,Int> SELDw()const{ return SELDof(3); } array<NInt,2> rngs()const{ return {sv,dv}; } NInt ls()const{ return lv; } NInt v2i(const NInt &vx)const{ NInt ret; for(Int i=0;i<DIM;++i) ret[i]=(vx[i]-sv[i])*dv[i]; return ret; } auto toID(){ return [this](const NInt &vx)->Int{ Int id=0; for(Int i=0;i<DIM;++i){ Int x=vx[i],s=sv[i],l=lv[i],d=dv[i],xx=(x-s)*d; if(xx<0 || l<=xx) return -1; id=id*l+(xx&cyclemask[i]); } return id; }; } auto fromID(){ return [this](Int id)->NInt{ NInt ret; for(Int i=DIM-1;i>=0;--i){ Int s=sv[i],l=lv[i],d=dv[i],nid=id/l,xx=id-nid*l; ret[i]=s+xx*d; id=nid; } return ret; }; } bool out(const NInt &vx){ for(Int i=0;i<DIM;++i){ Int x=vx[i],s=sv[i],l=lv[i],d=dv[i]; Int xx=(x-s)*d; if(xx<0 || l<=xx) return true; } return false; } NInt start(Int xx=0)const{ NInt ret=sv; ret[0]=sv[0]+dv[0]*xx; return ret; } bool next(NInt &vx,Int dMn=0)const{ //次へ進める 対象:第dMn以降 @return true:次有 for(int d=DIM-1;d>=dMn;--d){ if(vx[d]==ev[d]) vx[d]=sv[d]; else{ vx[d]+=dv[d]; return true; } } return false; } private: tuple<Int,Int,Int,Int> SELDof(Int i)const{ if(i>=DIM) return {-1,-1,-1,-1}; return {sv[i],ev[i],lv[i],dv[i]}; } static Int sign(Int x){ return x==0 ? 0 : x>0 ? 1 : -1; } }; template<class STATE,class VAL,class Ope,class Tran,class ToID,class FromID> struct memoDP{ using Int = long long; using ll = long long; Ope ope; //貰うときの演算 Tran tran; ToID toID; FromID fromID; VAL yet,ini,dmy; //yet:未計算印の値 ini:ope演算の初期値 vector<VAL> dp_; bool autoResize = true; bool nextdp = false; //true:nextDP //-------- コンストラクタ -------- memoDP(STATE,VAL,Ope ope_,Tran tran_,ToID toID_,FromID fromID_,VAL yet_,VAL ini_) : ope(ope_),tran(tran_),toID(toID_),fromID(fromID_),yet(yet_),ini(ini_),dmy(ini_){} //事前メモリ確保用コンストラクタ template<class RNG> memoDP(STATE,VAL,Ope ope_,Tran tran_,ToID toID_, FromID fromID_,VAL yet_,VAL ini_,const RNG &rng) : ope(ope_),tran(tran_),toID(toID_),fromID(fromID_),yet(yet_),ini(ini_),dmy(ini_), dp_(rng.isCycle() ? rng.csize()*rng.cycle() : rng.size(),yet), autoResize(false),nextdp(rng.isCycle()){} //-------- アクセス・計算実行 -------- template<class... Args> VAL &operator()(Args&&... args){ return Dp({args...}); } template<class... Args> VAL calcIfAny(Args&&... args){ return calcIfAnySt({args...}); } template<class... Args> void calc(Args&&... args){ calcSt({args...}); } template<class RNG> void calcall(const RNG &rng){ if(nextdp) calcallNextDp(rng); else calcallNormal(rng); } using vVAL = vector< VAL>; using vvVAL = vector< vVAL>; using vvvVAL = vector<vvVAL>; using vvvvVAL = vector<vvvVAL>; vVAL tov(array<Int,1> ls){ return tov(ls[0]); } vvVAL tov(array<Int,2> ls){ return tov(ls[0],ls[1]); } vvvVAL tov(array<Int,3> ls){ return tov(ls[0],ls[1],ls[2]); } vvvvVAL tov(array<Int,4> ls){ return tov(ls[0],ls[1],ls[2],ls[3]); } vVAL tov(Int xl){ dp_.resize(xl,yet); return vVAL(dp_); } vvVAL tov(Int xl,Int yl){ dp_.resize(xl*yl,yet); vvVAL ret(xl,vVAL(yl)); for(ll i=0;i<xl;++i) for(ll j=0;j<yl;++j) ret[i][j]=dp_[i*yl+j]; return ret; } vvvVAL tov(Int xl,Int yl,Int zl){ dp_.resize(xl*yl*zl,yet); vvvVAL ret(xl,vvVAL(yl,vVAL(zl))); for(ll i=0;i<xl;++i) for(ll j=0;j<yl;++j) for(ll k=0;k<zl;++k){ ret[i][j][k]=dp_[i*yl*zl+j*zl+k]; } return ret; } vvvvVAL tov(Int xl,Int yl,Int zl,Int wl){ dp_.resize(xl*yl*zl*wl,yet); vvvvVAL ret(xl,vvvVAL(yl,vvVAL(zl,vVAL(wl)))); for(ll i=0;i<xl;++i) for(ll j=0;j<yl;++j) for(ll k=0;k<zl;++k){ for(ll l=0;l<wl;++l) ret[i][j][k][l]=dp_[i*yl*zl*wl+j*zl*wl+k*wl+l]; } return ret; } private: VAL &Dp(const STATE &vx){ //dp_がreallocされると参照が無効になることに注意 ll id=toID(vx); if(autoResize && (ll)dp_.size()<=id) dp_.resize(id+1,yet); return id<0 ? (dmy=ini) : dp_[id]; } VAL calcIfAnySt(const STATE &vx){ VAL &Dpvx=Dp(vx); if(Dpvx!=yet) return Dpvx; Dpvx=ini; auto src_calc2srcVa=[&](const STATE &src,auto calc2srcVa){ VAL srcVa=calcIfAnySt(src); VAL &DpvxL = autoResize ? Dp(vx) : Dpvx; //resizeすると参照が無効になるため VAL nVa=ope(DpvxL,calc2srcVa(srcVa)); if(DpvxL!=nVa) DpvxL=nVa,preRenew(vx,src); }; auto dpWrap=[this](auto &&... args)->VAL{ return calcIfAny(args...); }; auto setVal=[&](VAL va){ (autoResize ? Dp(vx) : Dpvx) = va; //resizeすると参照が無効になるため }; tran(vx,src_calc2srcVa,dpWrap,setVal); return autoResize ? Dp(vx) : Dpvx; //resizeすると参照が無効になるため } void calcSt(const STATE &vx,bool force=false){ //force=true:計算済でも再計算 VAL &Dpvx=Dp(vx); if(!force && Dpvx!=yet) return; Dpvx=ini; auto src_calc2srcVa=[&](const STATE &src,auto calc2srcVa){ VAL srcVa=Dp(src); VAL nVa=ope(Dpvx,calc2srcVa(srcVa)); if(Dpvx!=nVa) Dpvx=nVa,preRenew(vx,src); }; auto dpWrap=[this](auto &&... args)->VAL{ return (*this)(args...); }; auto setVal=[&](VAL va){ Dpvx=va; }; tran(vx,src_calc2srcVa,dpWrap,setVal); } template<class RNG> void calcallNormal(const RNG &rng){ STATE vx=rng.start(); do calcSt(vx); while(rng.next(vx)); } template<class RNG> void calcallNextDp(const RNG &rng){ assert(rng.isCycle()); for(ll xx=0;xx<rng.ls()[0];++xx){ STATE vx=rng.start(xx); bool force = rng.cycle()<=xx; do calcSt(vx,force); while(rng.next(vx,1)); } } //-------- ダンプ -------- public: #if 0 template<int N> void dump(rangeNd<N> &rng,vector<string> labels={},const vector<ll> axes={0,1,2,3}){ auto ls=rng.ls(); if(nextdp) ls[0]=rng.cycle(); dumpstring::dumpNd("",tov(ls),args().rngs(rng.rngs()).tr(axes).labels(labels)); } #endif //-------- 最適パス -------- #if 0 private: vector<ll> pre; ll preini=-1,predmy=-1; ll &Pre(const STATE &vx){ ll id=toID(vx); if((ll)pre.size()<=id) pre.resize(id+1,preini); return id<0 ? (predmy=preini) : pre[id]; } void preRenew(const STATE &vx,const STATE &src){ Pre(vx)=toID(src); } public: template<class... Args> vector<STATE> pathget(Args&&... endargs){ vector<ll> ids{toID({endargs...})}; while(ids.back()<(ll)pre.size() && pre[ids.back()]!=preini) ids.push_back(pre[ids.back()]); reverse(ids.begin(),ids.end()); vector<STATE> path; for(auto&& id: ids) path.push_back(fromID(id)); return path; } #else void preRenew(const STATE &vx,const STATE &src){ (void)vx,(void)src; } #endif }; struct bll{ //第0~62bitまで対応 ll s; bll(ll s_=0): s(s_){} struct ref { bll &b; const ll msk; ref(bll &b_,ll pos):b(b_),msk(1LL<<pos){} operator ll() const { return (b.s&msk)!=0; } ref &operator=(bool x){ if(x) b.s|=msk; else b.s&=~msk; return *this; } }; ref operator[](ll pos){ return ref(*this,pos); } ll operator[](ll pos) const { return (s>>pos)&1; } bll &operator=(ll b){ s=b; return *this; } bll operator++(int){ bll b(*this); s++; return b; } bll operator--(int){ bll b(*this); s--; return b; } operator ll() const noexcept { return s; } bll &on(ll l,ll r){ s|= rangemask(l,r); return *this; } bll &off(ll l,ll r){ s&=~rangemask(l,r); return *this; } bll &flip(ll l,ll r){ s^= rangemask(l,r); return *this; } bll &on(ll i){ s|= (1LL<<i); return *this; } bll &off(ll i){ s&=~(1LL<<i); return *this; } bll &flip(ll i){ s^= (1LL<<i); return *this; } static ll rangemask(ll l,ll r){ return (1LL<<(r+1))-(1LL<<l); } ll msbit()const{ for(ll o=63,x=-1;;){ ll m=(o+x)/2; if(s < (1LL<<m)) o=m; else x=m; if(o-x==1) return x; } } ll lsbit()const{ return bll(lsb()).msbit(); } ll msb()const{ ll pos=msbit(); return (pos<0) ? 0LL : 1LL<<pos; } ll lsb()const{ return s&-s; } ll count()const{ return bitset<64>(s).count(); } vll idxes()const{ vll v; for(ll i=0,t=s; t; t>>=1,i++) if(t&1)v.push_back(i); return v; } }; /* bll b(s); b[3]=1; //第3bitを1に b.on(4,7).off(9,59).flip(0,3); //第4~7bitを1に、等 b.s+=10; //普通に数値として扱いたい時 //0000001000101100 b ll c=b.msb(); //0000001000000000 b.msb() ll c=b.msbit(); // ^第9bit b.msbit() ll c=b.lsb(); //0000000000000100 b.lsb() ll c=b.lsbit(); // 第2bit^ b.lsbit() ll c=b.count(); //1の数 (4個) vll idxes=b.idxes(); //1のidxのvll {2,3,5,9} */ struct mex{ ll N; vector<bool> b; template<class T> mex(T &&v): N((ll)v.size()),b(N) { for(ll x:v){ assert(x>=0); if(x<N) b[x]=true; } } ll get(){ for(ll i=0;i<N;i++) if(!b[i])return i; return N; } }; /* ll mexval=mex(buf).get(); //コンテナbufのmexを得る */ void labo() { using STATE=array<ll,1>; //i using VAL=ll; VAL yet=-INF*7; auto operation=[&](VAL a,VAL b){return a+b;}; VAL ini=0; auto transition=[&](const STATE &vx,auto src_calc2srcVa,auto dp,auto setVal){ auto [i]=vx; //dp(現在位置)をdp(…)から計算 bll b=i; ll msb=b.msbit(); ll dst=-1; vll me; rep(k,0,msb){ if(b[k]==0) dst=k; else if(dst==-1)continue; else{ bll bb=b; bb.off(k).on(dst); me.push_back(dp(bb)); } } ll va=0; if (me.size()) va=mex(me).get(); //コンテナbufのmexを得る //結果セット setVal(va); }; ll MM=256; auto [s1,e1]=pll{0,MM-1}; //1つ目の変数の範囲 rangeNd<1> rng({s1,},{e1,}); memoDP dp(STATE(),VAL(),operation,transition,rng.toID(),rng.fromID(),yet,ini,rng); dp.calcall(rng); vll v=dp.tov(MM); rep(i,0,MM-1){ bitset<10> bs(i); cout << bs.to_string() << " " << v[i]<<endl; } return; } template<class T> struct wrapVector1d{ using S=typename T::value_type; using Int = long long; const T *v; S Ini; wrapVector1d(const T &v_,S ini_=S()):v(&v_),Ini(ini_){} S operator[](Int i)const{ return (i<0 || (Int)v->size()<=i) ? Ini : (*v)[i]; } }; template<class T> struct wrapVector2d{ using S=typename T::value_type; using Int = long long; const vector<T> *v; S Ini; T dmy; wrapVector2d(const vector<T> &v_,S ini_=S()):v(&v_),Ini(ini_){} wrapVector1d<T> operator[](ll i)const{ return (i<0 || (Int)v->size()<=i) ? wrapVector1d(dmy,Ini) : wrapVector1d((*v)[i],Ini); } }; void cin2solve() { auto N=cin1<ll>(); auto lr_=cinv<ll2>(N); wrapVector1d lr(lr_,{0,0}); ll sm=0; ll x=0; rep(i,0,N-1){ auto [l,r]=lr[i]; auto[pl,pr]=lr[i-1]; sm+=l-pr-1; if(sm%2==1) x^=r-l+1; } if(x>0){ cout << "First" << '\n'; } else{ cout << "Second" << '\n'; } return; } };//SolvingSpace ////////////////////////////////////////// int main(){ #if 1 //SolvingSpace::labo(); SolvingSpace::cin2solve(); //SolvingSpace::generand(); #else ll t; cin >> t; rep(i,0,t-1){ SolvingSpace::cin2solve(); //SolvingSpace::generand(); } #endif cerr << timeget() <<"ms"<< '\n'; return 0; }