#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() #include 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; using vvvll=vector< vvll>; using vvvdd=vector; using vvvvll=vector; using pll=pair; using tll=tuple; using qll=tuple; using vpll=vector< pll>; using vtll=vector< tll>; using vqll=vector< qll>; using vvpll=vector; using vvtll=vector; using vvqll=vector; using namespace chrono; constexpr ll INF = 1001001001001001001; struct Fast{ Fast(){ cin.tie(0); ios::sync_with_stdio(false); cout<::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 inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; }return false; } template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; }return false; } template inline T MaxE(vector&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmax(m,v[i]); return m; } template inline T MinE(vector&v,ll S,ll E){ T m=v[S]; rep(i,S,E)chmin(m,v[i]); return m; } template inline T MaxE(vector &v) { return MaxE(v,0,(ll)v.size()-1); } template inline T MinE(vector &v) { return MinE(v,0,(ll)v.size()-1); } template inline auto maxe(T &&v,ll S,ll E){ return *max_element(ALL(v,S,E)); } template inline auto maxe(T &&v){ return *max_element(ALL(v)); } template inline auto mine(T &&v,ll S,ll E){ return *min_element(ALL(v,S,E)); } template inline auto mine(T &&v){ return *min_element(ALL(v)); } template inline T Sum(vector &v,ll S,ll E){ T s=T(); rep(i,S,E)s+=v[i]; return s; } template inline T Sum(vector &v) { return Sum(v,0,v.size()-1); } template::type::value_type> inline U sum(T &&v,ll S,ll E) {return accumulate(all(v,S,E),U());} template inline auto sum(T &&v) {return sum(v,0,v.end()-v.begin()-1);} template 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 inline pair& operator+=(pair &a,const pair &b){ a.first+=b.first; a.second+=b.second; return a; } template inline pair& operator-=(pair &a,const pair &b){ a.first-=b.first; a.second-=b.second; return a; } template inline pair& operator*=(pair &a,const pair &b){ a.first*=b.first; a.second*=b.second; return a; } template inline pair& operator/=(pair &a,const pair &b){ a.first/=b.first; a.second/=b.second; return a; } template inline pair& operator%=(pair &a,const pair &b){ a.first%=b.first; a.second%=b.second; return a; } template inline pair& operator+=(pair &a,R b){ a.first+=b; a.second+=b; return a; } template inline pair& operator-=(pair &a,R b){ a.first-=b; a.second-=b; return a; } template inline pair& operator*=(pair &a,R b){ a.first*=b; a.second*=b; return a; } template inline pair& operator/=(pair &a,R b){ a.first/=b; a.second/=b; return a; } template inline pair& operator%=(pair &a,R b){ a.first%=b; a.second%=b; return a; } template inline pair operator+(const pair &a,R b){ pair c=a; return c+=b; } template inline pair operator-(const pair &a,R b){ pair c=a; return c-=b; } template inline pair operator*(const pair &a,R b){ pair c=a; return c*=b; } template inline pair operator/(const pair &a,R b){ pair c=a; return c/=b; } template inline pair operator%(const pair &a,R b){ pair c=a; return c%=b; } template inline pair operator-(R b,const pair &a){ pair c=-a; return c+=b; } template inline pair operator-(const pair &a,const pair &b){ pair c=a; return c-=b; } template inline pair operator-(const pair &a){ pair c=a; return c*=(-1); } template inline ostream &operator<<(ostream &os,const pair &a){ return os << a.first << ' ' << a.second; } //tuple用テンプレート 出力用のみ template inline ostream &operator<<(ostream &os,const tuple &a){ return os << get<0>(a) << ' ' << get<1>(a) << ' ' << get<2>(a); } template inline ostream &operator<<(ostream &os,const tuple &a){ return os << get<0>(a) << ' ' << get<1>(a) << ' ' << get<2>(a) << ' ' << get<3>(a); } //vector用テンプレート template inline ostream &operator<<(ostream &os,const vector &a){ for (ll i=0; i<(ll)a.size(); i++) os<<(i>0?" ":"")< inline array& operator+=(array &a,const array &b){ for (ll i=0; i<(ll)S; i++) a[i]+=b[i]; return a; } template inline array& operator-=(array &a,const array &b){ for (ll i=0; i<(ll)S; i++) a[i]-=b[i]; return a; } template inline array& operator*=(array &a,const array &b){ for (ll i=0; i<(ll)S; i++) a[i]*=b[i]; return a; } template inline array& operator/=(array &a,const array &b){ for (ll i=0; i<(ll)S; i++) a[i]/=b[i]; return a; } template inline array& operator%=(array &a,const array &b){ for (ll i=0; i<(ll)S; i++) a[i]%=b[i]; return a; } template inline array& operator+=(array &a,R b){ for (T &e: a) e+=b; return a; } template inline array& operator-=(array &a,R b){ for (T &e: a) e-=b; return a; } template inline array& operator*=(array &a,R b){ for (T &e: a) e*=b; return a; } template inline array& operator/=(array &a,R b){ for (T &e: a) e/=b; return a; } template inline array& operator%=(array &a,R b){ for (T &e: a) e%=b; return a; } template inline array operator+(const array &a,R b){ array c=a; return c+=b; } template inline array operator-(const array &a,R b){ array c=a; return c-=b; } template inline array operator*(const array &a,R b){ array c=a; return c*=b; } template inline array operator/(const array &a,R b){ array c=a; return c/=b; } template inline array operator%(const array &a,R b){ array c=a; return c%=b; } template inline array operator-(R b,const array &a){ array c=-a; return c+=b; } template inline array operator-(const array &a,const array &b){ array c=a; return c-=b; } template inline array operator-(const array &a){ array c=a; return c*=(-1); } template inline ostream &operator<<(ostream &os,const array &a){ for (ll i=0; i<(ll)S; i++) os<<(i>0?" ":"")< struct view1d; template struct view1dIter{ view1d *vw=nullptr; ll idx=INF; view1dIter(){} view1dIter(view1d *vw_,ll idx_):vw(vw_),idx(idx_){} view1dIter(const view1dIter &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 &it)const{ return idx- it.idx; } bool operator< (const view1dIter &it)const{ return idx< it.idx; } bool operator> (const view1dIter &it)const{ return idx> it.idx; } bool operator<=(const view1dIter &it)const{ return idx<=it.idx; } bool operator>=(const view1dIter &it)const{ return idx>=it.idx; } bool operator!=(const view1dIter &it)const{ return idx!=it.idx; } bool operator==(const view1dIter &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 struct view1d{ using Sll=array; 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{...}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 auto &operator =(const Q &b){ rep(i,0,len-1) (*this)[i] =b; return *this; } template auto &operator+=(const Q &b){ rep(i,0,len-1) (*this)[i]+=b; return *this; } template auto &operator-=(const Q &b){ rep(i,0,len-1) (*this)[i]-=b; return *this; } template auto &operator*=(const Q &b){ rep(i,0,len-1) (*this)[i]*=b; return *this; } template auto &operator/=(const Q &b){ rep(i,0,len-1) (*this)[i]/=b; return *this; } template auto &operator%=(const Q &b){ rep(i,0,len-1) (*this)[i]%=b; return *this; } auto &operator =(const string &b){ return CpSeq(b); } template auto &operator =(const char (&b)[Q]){ return *this=string(b); } template auto &operator =(const vector &b){ return CpSeq(b); } template auto &operator+=(const vector &b){ return PlSeq(b); } template auto &operator-=(const vector &b){ return MnSeq(b); } template auto &operator*=(const vector &b){ return PrSeq(b); } template auto &operator/=(const vector &b){ return DvSeq(b); } template auto &operator%=(const vector &b){ return RmSeq(b); } template auto &operator =(const view1d &b){ return CpSeq(b); } template auto &operator+=(const view1d &b){ return PlSeq(b); } template auto &operator-=(const view1d &b){ return MnSeq(b); } template auto &operator*=(const view1d &b){ return PrSeq(b); } template auto &operator/=(const view1d &b){ return DvSeq(b); } template auto &operator%=(const view1d &b){ return RmSeq(b); } template auto &CpSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i] =b[i]; return *this; } template auto &PlSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]+=b[i]; return *this; } template auto &MnSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]-=b[i]; return *this; } template auto &PrSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]*=b[i]; return *this; } template auto &DvSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]/=b[i]; return *this; } template auto &RmSeq(const Q &b){ rep(i,0,min(sz(b),len)-1) (*this)[i]%=b[i]; return *this; } //template static bool eq(const Q &a,const P &b){ // return equals(ALL(a),ALL(b)); //} template 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 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 false; } return (ll)a.size()<(ll)b.size(); } template bool operator==( const view1d &b){ return eq(*this,b); } template bool operator==( const Q &b){ return eq(*this,b); } template friend bool operator==(const Q &a,const view1d &b){ return eq( a,b); } template bool operator==( const char (&b)[Q]){ return eq(*this,string(b)); } template bool operator!=( const view1d &b){ return !(*this==b); } template bool operator!=( const Q &b){ return !(*this==b); } template friend bool operator!=(const Q &a,const view1d &b){ return !( a==b); } template bool operator< ( const view1d &b){ return lt(*this,b); } template bool operator< ( const Q &b){ return lt(*this,b); } template friend bool operator< (const Q &a,const view1d &b){ return lt( a,b); } template bool operator> ( const view1d &b){ return lt(b,*this); } template bool operator> ( const Q &b){ return lt(b,*this); } template friend bool operator> (const Q &a,const view1d &b){ return lt(b,a ); } template bool operator<=( const view1d &b){ return !(*this>b); } template bool operator<=( const Q &b){ return !(*this>b); } template friend bool operator<=(const Q &a,const view1d &b){ return !( a>b); } template bool operator>=( const view1d &b){ return !(*this bool operator>=( const Q &b){ return !(*this friend bool operator>=(const Q &a,const view1d &b){ return !( a(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 tov(){ vector vvv(len); rep(i,0,len-1) vvv[i]=(*this)[i]; return vvv; } operator vector(){ vector 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(this,0); } auto end(){ return view1dIter(this,len); } /*---- view設定 ----*/ view1d &dmy(R dmy_) { dummy=dmy_; return *this; }//ダミー値セット template view1d &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 view1d &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 view1d &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 view1d &mv(Q... s_){ this->s+=SllD(s_...); return *this; }//平行移動 view1d &size(ll len_) { len=len_; return *this; }//長さset template view1d &size(Q &v){ len=(ll)v.size(); return *this; }//長さset view1d &rev() { s+=d*(len-1); d*=-1; return *this; }//反転 /*---- utility ----*/ template 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 static ll Len(array s,array e,array 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 static Sll SllD(Q... args){ return SllRec(0,args...); } template 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 using V = vector; template using VV = V>; template using VVV = V>>; using Vs = V; using VVs = VV; using ll1 = array; using ll2 = array; using ll3 = array; auto &OrgAt_(V &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 &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 &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 &dat,ll1 &dsz){ dsz={sz(dat)}; } static void SetDsize(string &dat,ll1 &dsz){ dsz={sz(dat)}; } static void SetDsize(VV &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 &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 iterator; using value_type = R; }; template using V = vector; template using VV = V>; template using VVV = V>>; template view1d( VVV ) -> view1d< VVV,3,T>; template view1d( VV ) -> view1d< VV,2,T>; template view1d( V ) -> view1d< V,1,T>; ; view1d(VV ) -> view1d,3,char>; ; view1d( V ) -> view1d< V,2,char>; ; view1d( string ) -> view1d< string ,1,char>; template view1d( VVV,S,S,S) -> view1d< VVV,3,T>; template view1d( VV,S,S,S) -> view1d< VV,2,T>; template view1d( V,S,S,S) -> view1d< V,1,T>; template view1d(VV,S,S,S) -> view1d,3,char>; template view1d( V,S,S,S) -> view1d< V,2,char>; template view1d( string ,S,S,S) -> view1d< string ,1,char>; template 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 struct view2d{ using Sll=array; 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::SetDsize(v,dsize); dx[S-2]=1; dy[S-1]=1; xl=dsize[S-2]; yl=dsize[S-1]; } /*---- 演算 ----*/ //template auto &operator =(const Q &b){ rep(i,0,xl-1) (*this)[i] =b; return *this; } //template auto &operator+=(const view2d &b){ // rep(i,0,xl-1) (*this)[i] // return PlSeq(b); } /*---- getter ----*/ ll size() const { return xl; } array shape() const { return {xl,yl}; } ll lenx() const { return xl; } ll leny() const { return yl; } ///pll shape() const { return {xl,yl}; } view1d operator[](ll i){ return view1d(data,s+dx*i,dy,yl,dummy); } const view1d 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> tovv(){ // vector> 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> 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 &dmy(R dmy_) { dummy=dmy_; return *this; }//ダミー値セット template view2d &st(Q... s_){//始点set 負は末尾からの位置 this->s=RevIfNeg(view1d::SllD(s_...)); this->xl=view1d::AutoLen(this->s,this->dx,this->dsize); this->yl=view1d::AutoLen(this->s,this->dy,this->dsize); return *this; } template view2d &dirx(Q... d_){//x軸set、長さはdata端まで this->dx=view1d::SllD(d_...); this->xl=view1d::AutoLen(this->s,this->dx,this->dsize); return *this; } template view2d &diry(Q... d_){//y軸set、長さはdata端まで this->dy=view1d::SllD(d_...); this->yl=view1d::AutoLen(this->s,this->dy,this->dsize); return *this; } template view2d &mv(Q... s_){//平行移動 this->s += view1d::SllD(s_...); return *this; } view2d &lenx(ll xl_) { xl=xl_; return *this; } view2d &leny(ll yl_) { yl=yl_; return *this; } view2d &shape(ll xl_,ll yl_) { xl=xl_; yl=yl_; return *this; } template view2d &shape(Q &v) { xl=v.lenx(); yl=v.leny(); return *this; } view2d &rot90 () { s+=dx*(xl-1); swap(xl,yl); swap(dx,dy); dy*=-1; return *this; } view2d &rot270() { s+=dy*(yl-1); swap(xl,yl); swap(dx,dy); dx*=-1; return *this; } view2d &rot180() { s+=dx*(xl-1)+dy*(yl-1); dx*=-1; dy*=-1; return *this; } view2d &revx() { s+=dx*(xl-1); dx*=-1; return *this; } view2d &revy() { s+=dy*(yl-1); dy*=-1; return *this; } view2d &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 view2d( VVV) -> view2d< VVV,3,T>; template view2d( VV) -> view2d< VV,2,T>; ; view2d(VV) -> view2d,3,char>; ; view2d( V) -> view2d< V,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 struct zipIter{ ZIP *z=nullptr; ll idx=INF; zipIter(){} zipIter(ZIP *z_,ll idx_):z(z_),idx(idx_){} zipIter(const zipIter &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 &it)const{ return idx- it.idx; } bool operator< (const zipIter &it)const{ return idx< it.idx; } bool operator> (const zipIter &it)const{ return idx> it.idx; } bool operator<=(const zipIter &it)const{ return idx<=it.idx; } bool operator>=(const zipIter &it)const{ return idx>=it.idx; } bool operator!=(const zipIter &it)const{ return idx!=it.idx; } bool operator==(const zipIter &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 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; }; template 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; }; #endif//テンプレートend #if defined(_MSC_VER) && __has_include() #include 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(system_clock::now()-st).count()/1000;} } timeget; ////////////////////////////////////////// struct cinutil{ template static void cin1core(T &a){ cin>>a; } template static void cin1core(pair &a){ cin1core(a.first), cin1core(a.second); } template static void cin1core(tuple &a){ cinTplRec,sizeof...(Args)-1>()(a); } template static void cin1core(array &a){for(int i=0;i>a[i];} private: template struct cinTplRec{ void operator()(Tpl &a){ cinTplRec()(a); cin1core(get(a)); } }; template struct cinTplRec{ void operator()(Tpl &a){ cin1core(get<0>(a)); } }; }; template T cin1(){ T a; cinutil::cin1core(a); return a; } template tuple cins(){ return cin1>(); } template 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_; //using mll = fraction; using vmll = std::vector; using vvmll = std::vector; using vvvmll = std::vector; using vvvvmll = std::vector; template struct Vector: vector{ using Int = long long; using vT=vector; using cvT=const vector; 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 Vector(const Vector& b):vT(b.begin(),b.end()){} template Vector(const vector& b):vT(b.begin(),b.end()){} Vector(Int n,T s,T d){ iota(n,s,d); } Vector(Int n,function g):vT(n){ for (Int i=0;i Vector &operator+=(S x){ for (T &e: *this) e+=x; return *this; } template Vector &operator-=(S x){ for (T &e: *this) e-=x; return *this; } template Vector &operator*=(S x){ for (T &e: *this) e*=x; return *this; } template Vector &operator/=(S x){ for (T &e: *this) e/=x; return *this; } template Vector &operator%=(S x){ for (T &e: *this) e%=x; return *this; } template Vector operator+(S x)const{ return Vector(*this)+=x; } template Vector operator-(S x)const{ return Vector(*this)-=x; } template Vector operator*(S x)const{ return Vector(*this)*=x; } template Vector operator/(S x)const{ return Vector(*this)/=x; } template Vector operator%(S x)const{ return Vector(*this)%=x; } Vector operator-()const{ return Vector(*this)*=-1; } template 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 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 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 Int countif(Pr pr)const{ return Int(count_if(begin(),end(),pr)); } template 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 Int findif(Pr pr)const{ return Int(find_if(begin(),end(),pr)-begin()); } template Int findif(Int l,Int r,Pr pr)const{ return Int(find_if(it(l),it(r+1),pr)-begin()); } Vector findall(cT& x)const{ return findall(0,size()-1,x); } Vector findall(Int l,Int r,cT& x)const{ return findallif(l,r,[&](cT& y){return y==x;}); } template Vector findallif(Pr pr)const{ return findallif(0,size()-1,pr); } template Vector findallif(Int l,Int r,Pr pr)const{ Vector 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 Int flooridx(cT& x,Pr pr)const{ return Int(upper_bound(begin(),end(),x,pr)-begin()-1); } template Int ceilidx(cT& x,Pr pr)const{ return Int(lower_bound(begin(),end(),x,pr)-begin()); } template Int leftnmof(cT& x,Pr pr)const{ return flooridx(x,pr)+1; } template Int rightnmof(cT& x,Pr pr)const{ return size()-ceilidx(x,pr); } template 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(); 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.second0; }; //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 using vector = Vector; 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; using vvvvll=vector; using vvvvmll=vector; using vpll=vector< pll>; using vtll=vector< tll>; using vqll=vector< qll>; using vvpll=vector< vpll>; using vvtll=vector< vtll>; using vvqll=vector; using vss=vector; using ll2=array; using ll3=array; using ll4=array; 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; using vvvll3=vector; using vvvll4=vector; template vector cinv(ll nm){ return vector(nm,[](ll i){ (void)i; return cin1(); }); } template vector> cinvv(ll H,ll W){ return vector>(H,[&](ll i){ (void)i; return cinv(W); }); } namespace dumpstring{ using ll=long long; using vss =vector; using vvss=vector; template using V = vector; template using VV = V>; template using VVV = V>; template using VVVV = V>; /*---- dumpstring用転置関数 ----*/ template VV transpose2d(const VV &A){ ll xl=A.size(),yl=A[0].size(); VV ret(yl,V(xl)); for(ll i=0;i VVV transpose3d(const VVV &A,array axes){ array shape={A.size(),A[0].size(),A[0][0].size()}; auto [xl,yl,zl]=shape; auto [Xl,Yl,Zl]=array{shape[axes[0]],shape[axes[1]],shape[axes[2]]}; VVV ret(Xl,VV(Yl,V(Zl))); for(ll i=0;i co={i,j,k}; auto [I,J,K]=array{co[axes[0]],co[axes[1]],co[axes[2]]}; ret[I][J][K]=A[i][j][k]; } return ret; } template VVVV transpose4d(const VVVV &A,array axes){ array shape={A.size(),A[0].size(),A[0][0].size(),A[0][0][0].size()}; auto [xl,yl,zl,wl]=shape; auto [Xl,Yl,Zl,Wl]= array{shape[axes[0]],shape[axes[1]],shape[axes[2]],shape[axes[3]]}; VVVV ret(Xl,VVV(Yl,VV(Zl,V(Wl)))); for(ll i=0;i co={i,j,k,l}; auto [I,J,K,L]=array{co[axes[0]],co[axes[1]],co[axes[2]],co[axes[3]]}; ret[I][J][K][L]=A[i][j][k][l]; } } return ret; } struct DbgDump{ using Int=long long; vector> field; //field[j][i]:j列のi行目文字列 ostream &os; DbgDump(ostream &os_=cout):os(os_){} int W()const{ return (int)field.size(); } int H()const { int ret=0; for(const auto &ss:field) ret=max(ret,(int)ss.size()); return ret; } void clear(){ field.clear(); } DbgDump &set(Int j,string &&str){ //j列に文字列追加 if(j>=(int)field.size()) field.resize(j+1); field[j].push_back(move(str)); return *this; } DbgDump &set(Int j,vector &&strs){ //j列に文字列複数追加 if(j>=(int)field.size()) field.resize(j+1); for(string &str:strs) field[j].push_back(move(str)); return *this; } vector flush2str(const string &sep=" ",bool clear_=true){ vector len(W());//len[j]:j列の文字列長max for(int j=0;j ret; for(int i=0;iclear(); return ret; } void flush(const string &sep=" ",bool clear_=true){ for(auto&& s: flush2str(sep,clear_)) os<INF/2) return stringf("%*s",wd,"oo"); if(x==-INF) return stringf("%*s",wd,"-OO"); if(x<-INF/2) return stringf("%*s",wd,"-oo"); return stringf("%*lld",wd,x); } string stringfx(double x,int wd=1,int fr=4){ return stringf("%*.*f",wd,fr,x); } template string stringfx(mll_ x,int wd=1){ return stringfx(x.val(),wd); } template string stringfx(static_modint x,int wd=1){ return stringfx((ll)x.val(),wd); } template string stringfx(dynamic_modint x,int wd=1){ return stringfx((ll)x.val(),wd); } template string stringfx(pair x,int wd=1){ return stringfx(x.first,wd)+","+stringfx(x.second,wd); } template string stringfx(const array &x,int wd=1){ string ret; for(int i=0;i<(int)N;++i) ret+=stringfx(x[i],wd)+(i string stringfx(T x,int wd=1){ return stringf("%*s",wd,x.to_string().c_str()); } template string stringf1d(const vector &v,ll wd){ string ret; for(int i=0; i<(int)v.size(); ++i) ret+=stringfx(v[i],(int)wd); return ret; } struct args{ using Int = long long; Int wd_=1,sx_=0,sy_=0,sz_=0,sw_=0,dx_=1,dy_=1,dz_=1,dw_=1; vector tr_; vector labels_; bool xrev_=false,yrev_=false,zrev_=false,wrev_=false; args():tr_({0,1,2,3,4,5}){} args &wd(Int wd__){ wd_=wd__; return *this; } args &sx(Int s){ sx_=s; return *this; } args &sy(Int s){ sy_=s; return *this; } args &sz(Int s){ sz_=s; return *this; } args &sw(Int s){ sw_=s; return *this; } args &dx(Int d){ dx_=d; return *this; } args &dy(Int d){ dy_=d; return *this; } args &dz(Int d){ dz_=d; return *this; } args &dw(Int d){ dw_=d; return *this; } template args &rngs(array,2> rngs){ if(DIM>=1) sx_=rngs[0][0],dx_=rngs[1][0]; if(DIM>=2) sy_=rngs[0][1],dy_=rngs[1][1]; if(DIM>=3) sz_=rngs[0][2],dz_=rngs[1][2]; if(DIM>=4) sw_=rngs[0][3],dw_=rngs[1][3]; return *this; } args &tr(vector tr__){ tr_=tr__; return *this; } args &tr(){ tr_={1,0}; return *this; } args &labels(vector labels__){ labels_=labels__; return *this; } args &xrev(){ xrev_=true; return *this; } args &yrev(){ yrev_=true; return *this; } args &zrev(){ zrev_=true; return *this; } args &wrev(){ wrev_=true; return *this; } tuple getargs1d()const{ return {wd_,sx_,dx_,xrev_}; } tuple getargs2d()const{ return {wd_,sx_,sy_,dx_,dy_,tr_[0]==1&&tr_[1]==0,xrev_,yrev_}; } tuple,bool,bool,bool> getargs3d()const{ return {wd_,sx_,sy_,sz_,dx_,dy_,dz_, {tr_[0],tr_[1],tr_[2]},xrev_,yrev_,zrev_}; } tuple,bool,bool,bool,bool> getargs4d()const { return {wd_,sx_,sy_,sz_,sw_,dx_,dy_,dz_,dw_, {tr_[0],tr_[1],tr_[2],tr_[3]},xrev_,yrev_,zrev_,wrev_}; } const char *label(Int i)const{//転置後第i軸(0-origin)のラベル return tr_[i]<(Int)labels_.size() ? labels_[tr_[i]].c_str() : ""; } }; template vector sdumpNd( const string &header,const vector &v_,const args &p=args()) { //-- パラメータ取り出し ll N=(ll)v_.size(); auto [wd,sx,dx,xrv]=p.getargs1d(); //-- 反転を吸収 vector v=v_; if(xrv) sx+=dx*(N-1),dx*=-1,reverse(v.begin(),v.end()); //-- 文字列化 DbgDump dbgd; for(ll j=0;j vss sdumpNd( const string &header,const vector> &fd_,const args &p=args()) { //-- パラメータ取り出し ll h=(ll)fd_.size(),w=(ll)fd_[0].size(); auto [wd,sx,sy,dx,dy,tr,xrv,yrv]=p.getargs2d(); //-- fdで反転・transを吸収(反転は未実装) vector> fd = tr ? transpose2d(fd_) : fd_; if(tr) swap(sx,sy),swap(dx,dy),swap(h,w); //-- 文字列化 DbgDump dbgd; dbgd.set(0,"|"); for(ll i=0;i vss sdumpNd(const string &header, const vector>> &fd_,const args &p=args()) { //-- パラメータ取り出し auto [wd,sx,sy,sz,dx,dy,dz,tr,xrv,yrv,zrv]=p.getargs3d(); //-- fdで反転・transを吸収(反転は未実装) vector>> fd=transpose3d(fd_,tr); array sxyz={sx,sy,sz},dxyz={dx,dy,dz}; sx=sxyz[tr[0]]; sy=sxyz[tr[1]]; sz=sxyz[tr[2]]; dx=dxyz[tr[0]]; dy=dxyz[tr[1]]; dz=dxyz[tr[2]]; //-- 文字列化 DbgDump dbgd; for(ll i=0;i<(ll)fd.size();++i){ vss s2d=sdumpNd(string(),fd[i], args().sx(sy).dx(dy).sy(sz).dy(dz).labels({p.label(1),p.label(2)})); string header=stringf("<%s%d>",p.label(0),sx+i*dx); header.resize(s2d[0].size(),' '); dbgd.set(i*2,move(header)); dbgd.set(i*2,move(s2d)); if(i>0){ for(ll t=0;t<(ll)s2d.size()+1;++t) dbgd.set(i*2-1,"||"); } } vss ret=dbgd.flush2str(); if(!header.empty()) ret.insert(ret.begin(),header);//ヘッダを上に挿入 return ret; } template vss sdumpNd(const string &header, const vector>>> &fd_,const args &p=args() ){ //-- パラメータ取り出し auto [wd,sx,sy,sz,sw,dx,dy,dz,dw,tr,xrv,yrv,zrv,wrv]=p.getargs4d(); //-- fdで反転・transを吸収(反転は未実装) vector>>> fd=transpose4d(fd_,tr); array sxyzw={sx,sy,sz,sw},dxyzw={dx,dy,dz,dw}; sx=sxyzw[tr[0]]; sy=sxyzw[tr[1]]; sz=sxyzw[tr[2]]; sw=sxyzw[tr[3]]; dx=dxyzw[tr[0]]; dy=dxyzw[tr[1]]; dz=dxyzw[tr[2]]; dw=dxyzw[tr[3]]; //-- 文字列化 vss ret; if(!header.empty()) ret.push_back(header); for(ll i=0;i<(ll)fd.size();++i){ if(i>0) ret.push_back(""); ret.push_back(stringf("---<%s%lld>---",p.label(0),sx+i*dx)); vss s3d=sdumpNd(string(),fd[i],args().sx(sy).dx(dy).sy(sz).dy(dz) .sz(sw).dz(dw).labels({p.label(1),p.label(2),p.label(3)})); ret.insert(ret.end(),s3d.begin(),s3d.end()); } return ret; } #if defined(_DEBUG) template void dumpNd(const string &h,const NdT &fd,const args &p=args(),ostream &os=cerr){ for(auto&&e: sdumpNd(h,fd,p)) os< void dumpNd(const string &h,const NdT &fd,const args &p=args(),ostream &os=cerr){} #endif }; using dumpstring::stringf; using dumpstring::stringfx; using dumpstring::stringf1d; using dumpstring::args; using dumpstring::sdumpNd; using dumpstring::dumpNd; /* - -------- printfと同じ書式でstringを生成 -------- string s=stringf("(%2lld,%2lld) E:%5.3f",x,y,E*100) - -------- 幅wdの整数で値xをstring化 -------- string s=stringfx(x,wd); - -------- 幅wdの整数で配列vをstring化 -------- ll,int,dd,mll,fraction,pair,array対応 string s=stringf1d(v,wd); - -------- 1D配列ダンプ -------- ll,int,dd,mll,fraction,pair,array対応 vector ss=sdumpNd("タイトル",v); dumpNd("タイトル",v); dumpNd("タイトル",v,args().sx(N).dx(-1).xrev().wd(5)); . ↑パラメータ wd:表示幅 - -------- 2D配列ダンプ -------- ll,int,dd,mll,fraction,pair,array対応 vector ss=sdumpNd("タイトル",fd); dumpNd("タイトル",fd); dumpNd("タイトル",fd,args().sx(N).dx(-1).sy(-5).dy(1).wd(5).tr().labels({"i","s"})); . ↑パラメータ wd:表示幅 tr:転置 xrev,yrevは未実装 - -------- 3D配列ダンプ -------- ll,int,dd,mll,fraction,pair,array対応 vector ss=sdumpNd("タイトル",fd); dumpNd("タイトル",fd); dumpNd("タイトル",fd,args().sx(2).dx(-1).sy(5).dy(1).sz(-3).dz(-1).tr({2,1,0}).labels({"i","s","u"})); . ↑パラメータ wd:表示幅 tr:軸順指定 反転(xrev等)は未実装 - -------- 4D配列ダンプ -------- ll,int,dd,mll,fraction,pair,array対応 vector ss=sdumpNd("タイトル",fd); dumpNd("タイトル",fd); dumpNd("タイトル",fd,args().sx(2).dx(-1).sy(5).dy(1).sz(-3).dz(-1).sw(-1).dw(1).tr({2,1,3,0}).labels({"t","u","i","s"})); . ↑パラメータ wd:表示幅 tr:軸順指定 反転(xrev等)は未実装 */ template struct rangeNd{ using Int = long long; using NInt = array; 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 SELDx()const{ return SELDof(0); } tuple SELDy()const{ return SELDof(1); } tuple SELDz()const{ return SELDof(2); } tuple SELDw()const{ return SELDof(3); } array rngs()const{ return {sv,dv}; } NInt ls()const{ return lv; } NInt v2i(const NInt &vx)const{ NInt ret; for(Int i=0;iInt{ Int id=0; for(Int i=0;iNInt{ 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=dMn;--d){ if(vx[d]==ev[d]) vx[d]=sv[d]; else{ vx[d]+=dv[d]; return true; } } return false; } private: tuple 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 struct PushBasedDP{ using Int = long long; using ll = long long; Ope ope; //配るときの演算 Tran tran; ToID toID; FromID fromID; VAL ini,dmy; //ini:dpテーブルの初期値 vector dp_; bool autoResize = true; bool nextdp = false; //true:nextDP //-------- コンストラクタ -------- PushBasedDP(STATE,VAL,Ope ope_,Tran tran_,ToID toID_,FromID fromID_,VAL ini_) : ope(ope_),tran(tran_),toID(toID_),fromID(fromID_),ini(ini_),dmy(ini_){} //事前メモリ確保用コンストラクタ template PushBasedDP(STATE,VAL,Ope ope_,Tran tran_,ToID toID_, FromID fromID_,VAL ini_,const RNG &rng) : ope(ope_),tran(tran_),toID(toID_),fromID(fromID_),ini(ini_),dmy(ini_), dp_(rng.isCycle() ? rng.csize()*rng.cycle() : rng.size(),ini), autoResize(false),nextdp(rng.isCycle()){} //-------- アクセス・計算実行 -------- template VAL &operator()(Args&&... args){ return Dp(STATE{args...}); } template void calc(Args&&... args){ calcSt({args...}); } template void calcall(const RNG &rng){ if(nextdp) calcallNextDp(rng); else calcallNormal(rng); } using vVAL = vector< VAL>; using vvVAL = vector< vVAL>; using vvvVAL = vector; using vvvvVAL = vector; vVAL tov(array ls){ return tov(ls[0]); } vvVAL tov(array ls){ return tov(ls[0],ls[1]); } vvvVAL tov(array ls){ return tov(ls[0],ls[1],ls[2]); } vvvvVAL tov(array ls){ return tov(ls[0],ls[1],ls[2],ls[3]); } vVAL tov(Int xl){ dp_.resize(xl,ini); return vVAL(dp_); } vvVAL tov(Int xl,Int yl){ dp_.resize(xl*yl,ini); vvVAL ret(xl,vVAL(yl)); for(ll i=0;i void calcallNormal(const RNG &rng){ STATE vx=rng.start(); do calcSt(vx); while(rng.next(vx)); } template void calcallNextDp(const RNG &rng){ auto [sx,ex,xl,dx]=rng.SELDx(); for(ll xx=0;xx0){ ll id=toID(rng.start(xx-1)); auto it=dp_.begin()+id; fill(it,it+rng.csize(),ini);//dp_[id~id+csize-1]を消去 } //現在位置xxを処理 STATE vx=rng.start(xx); do calcSt(vx); while(rng.next(vx,1)); } } //-------- ダンプ -------- public: #if 1 template void dump(rangeNd &rng,vector labels={},const vector axes={0,1,2,3}){ auto ls=rng.ls(); if(nextdp) ls[0]=rng.cycle(); dumpstring::dumpNd("",tov(ls),args().rngs(rng.rngs()).labels(labels).tr(axes)); } #endif //-------- 最適パス -------- #if 0 private: vector 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 vector pathget(Args&&... endargs){ vector 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 path; for(auto&& id: ids) path.push_back(fromID(id)); return path; } #else void preRenew(const STATE &vx,const STATE &src)const{ (void)vx,(void)src; } #endif }; namespace MonotoneMinima{ using Int=long long; using ll=long long; template vector monotoneMinima(F f,Int H,Int W,Comp comp){ vector ret(H); auto dfs=[&](auto dfs,ll si,ll ei,ll sj,ll ej){ if(si>ei) return; ll mi=(si+ei)/2; ll minj=sj; for(ll j=sj+1;j<=ej;++j){ if(comp(f(mi,j),f(mi,minj))) minj=j; } ret[mi]=minj; dfs(dfs,si,mi-1,sj,minj); dfs(dfs,mi+1,ei,minj,ej); }; dfs(dfs,0,H-1,0,W-1); return ret; } template void onlineMonotoneMinima(DP dp,Int st,Int en,Tran F,Comp comp){ auto Chmin=[&](auto &a,const auto &b){if(comp(b,a)) a=b;}; auto induce=[&](ll l,ll m,ll r){//[l,m]→[m+1,r] auto f=[&](ll i,ll j){ return F(i+m+1,j+l,dp(j+l)); }; vector minjs=monotoneMinima(f,r-m,m-l+1,comp); for(ll i=0;i(); auto A=cinv(N); auto X=cinv(N); auto Y=cinv(N); /* dp(i) 人iが回収した後のコストmin */ using STATE=array; //i using VAL=ll; auto operation=[&](VAL a,VAL b){return min(a,b);}; VAL ini=INF; auto transition=[&](const STATE &vx,VAL va,auto dstVal){}; auto [s1,e1]=pll{-1,N-1}; //1つ目の変数の範囲 rangeNd<1> rng({s1,},{e1,}); PushBasedDP dp(STATE(),VAL(),operation,transition,rng.toID(),rng.fromID(),ini,rng); dp(-1)=0; auto comp=less(); //最小化 auto F=[&](ll i,ll j,const VAL &dpj){ //j→i遷移で配られる値 ll ax=A[i],ay=0; ll bx=X[j+1],by=Y[j+1]; ll sax=abs(ax-bx); ll say=abs(ay-by); return dpj+sax*sax*sax+say*say*say; }; auto Dp=[&](ll i)->VAL& { return dp(i); }; onlineMonotoneMinima(Dp,s1,e1,F,comp); ll ans=dp(N-1); cout << ans << '\n'; //dp.dump(rng,{"i"}); 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; }