結果
| 問題 | No.2772 Appearing Even Times |
| ユーザー |
 hamamu
|
| 提出日時 | 2024-06-24 03:59:43 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 62,353 bytes |
| コンパイル時間 | 5,962 ms |
| コンパイル使用メモリ | 314,228 KB |
| 実行使用メモリ | 10,880 KB |
| 最終ジャッジ日時 | 2024-06-24 03:59:55 |
| 合計ジャッジ時間 | 12,327 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge2 |
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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 | 5 ms
6,820 KB |
| testcase_01 | AC | 6 ms
5,376 KB |
| testcase_02 | AC | 13 ms
5,376 KB |
| testcase_03 | AC | 6 ms
5,376 KB |
| testcase_04 | AC | 7 ms
5,376 KB |
| testcase_05 | AC | 6 ms
5,376 KB |
| testcase_06 | AC | 7 ms
5,376 KB |
| testcase_07 | AC | 3 ms
5,376 KB |
| testcase_08 | TLE | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
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);
}
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; }
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();
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>;
template<class T> vector<T> cinv(ll nm){ return vector<T>(nm,[](ll i){return cin1<T>();}); }
template<class T> vector<vector<T>> cinvv(ll H,ll W){ return vector<vector<T>>(H,[&](ll i){return cinv<T>(W);}); }
namespace dumpstring{
using ll=long long;
using vss =vector<string>;
using vvss=vector<vss>;
template<class T> using V = vector<T>;
template<class T> using VV = V<V<T>>;
template<class T> using VVV = V<VV<T>>;
template<class T> using VVVV = V<VVV<T>>;
/*---- dumpstring用転置関数 ----*/
template<class T> VV<T> transpose2d(const VV<T> &A){
ll xl=A.size(),yl=A[0].size();
VV<T> ret(yl,V<T>(xl));
for (ll i=0;i<xl;++i) for (ll j=0;j<yl;++j) ret[j][i]=A[i][j];
return ret;
}
template<class T> VVV<T> transpose3d(const VVV<T> &A,array<ll,3> axes){
array<ll,3> shape={A.size(),A[0].size(),A[0][0].size()};
auto [xl,yl,zl]=shape;
auto [Xl,Yl,Zl]=array<ll,3>{shape[axes[0]],shape[axes[1]],shape[axes[2]]};
VVV<T> ret(Xl,VV<T>(Yl,V<T>(Zl)));
for (ll i=0;i<xl;++i) for (ll j=0;j<yl;++j) for (ll k=0;k<zl;++k){
array<ll,3> co={i,j,k};
auto [I,J,K]=array<ll,3>{co[axes[0]],co[axes[1]],co[axes[2]]};
ret[I][J][K]=A[i][j][k];
}
return ret;
}
template<class T> VVVV<T> transpose4d(const VVVV<T> &A,array<ll,4> axes){
array<ll,4> 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<ll,4>{shape[axes[0]],shape[axes[1]],shape[axes[2]],shape[axes[3]]};
VVVV<T> ret(Xl,VVV<T>(Yl,VV<T>(Zl,V<T>(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){
array<ll,4> co={i,j,k,l};
auto [I,J,K,L]=array<ll,4>{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<vector<string>> 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<string> &&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<string> flush2str(const string &sep=" ",bool clear_=true){
vector<int> len(W());//len[j]:j列の文字列長max
for (int j=0;j<W();++j){
for (const auto &s:field[j]) len[j]=max(len[j],(int)s.size());
}
vector<string> ret;
for (int i=0;i<H();++i){
string line;
for (int j=0;j<W();++j){
int nSpace=len[j];
if (i<field[j].size()){
const string &s=field[j][i];
line+=string(nSpace-(int)s.size(),' ');
line+=s;
}
else line+=string(nSpace,' ');
if (j<W()-1) line+=sep;
}
ret.push_back(move(line));
}
if (clear_) this->clear();
return ret;
}
void flush(const string &sep=" ",bool clear_=true){
for (auto&& s: flush2str(sep,clear_)) os<<s<<'\n';
}
};
string stringf(const char *format,...){
char bf[1000];
va_list ap;
va_start(ap,format);
vsprintf(bf,format,ap);
va_end(ap);
return string(bf);
}
string stringfx(int x,int wd=1){
return stringf("%*d",wd,x);
}
string stringfx(ll x,int wd=1){
if (x==INF) return stringf("%*s",wd,"OO");
if (x>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){
return stringf("%*d",wd,(int)round(x));
}
string stringfx(mll x,int wd=1){
return stringfx(x.val(),wd);
}
template <int m> string stringfx(static_modint<m> x,int wd=1){
return stringfx((ll)x.val(),wd);
}
template <int id> string stringfx(dynamic_modint<id> x,int wd=1){
return stringfx((ll)x.val(),wd);
}
template<class T> string stringf1d(const vector<T> &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<Int> tr_;
vector<string> 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<size_t DIM> args &rngs(array<array<Int,DIM>,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<Int> tr__){ tr_=tr__; return *this; }
args &tr(){ tr_={1,0}; return *this; }
args &labels(vector<string> 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<Int,Int,Int,bool> getargs1d()const{ return {wd_,sx_,dx_,xrev_}; }
tuple<Int,Int,Int,Int,Int,bool,bool,bool> getargs2d()const{
return {wd_,sx_,sy_,dx_,dy_,tr_[0]==1&&tr_[1]==0,xrev_,yrev_};
}
tuple<Int,Int,Int,Int,Int,Int,Int,array<Int,3>,bool,bool,bool> getargs3d()const{
return {wd_,sx_,sy_,sz_,dx_,dy_,dz_,
{tr_[0],tr_[1],tr_[2]},xrev_,yrev_,zrev_};
}
tuple<Int,Int,Int,Int,Int,Int,Int,Int,Int,array<Int,4>,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<class T> vector<string> sdumpNd(
const string &header,const vector<T> &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<T> 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<N;++j) dbgd.set(j,stringf("%s%lld",p.label(0),sx+j*dx));//上目盛
for (ll j=0;j<N;++j) dbgd.set(j,stringfx(v[j],(int)wd));//中身
vss ret=dbgd.flush2str();
ret.insert(ret.begin(),header);//ヘッダを上に挿入
ret.insert(ret.begin()+2,string(ret[1].size(),'-'));//横線を上目盛の下に挿入
return ret;
}
template<class T> vss sdumpNd(
const string &header,const vector<vector<T>> &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<vector<T>> 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<h;++i) dbgd.set(0,stringf("%s%lld |",p.label(0),sx+i*dx));//左目盛
for (ll j=0;j<w;++j) dbgd.set(j+1,stringf("%s%lld",p.label(1),sy+j*dy));//上目盛
for (ll i=0;i<h;++i) for (ll j=0;j<w;++j){//中身
dbgd.set(j+1,stringfx(fd[i][j],(int)wd));
}
vss ret=dbgd.flush2str();
ret.insert(ret.begin()+1,string(ret[0].size(),'-'));//横線を上目盛の下に挿入
if (!header.empty()) ret.insert(ret.begin(),header);//ヘッダを上に挿入
return ret;
}
template<class T> vss sdumpNd(const string &header,
const vector<vector<vector<T>>> &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<vector<vector<T>>> fd=transpose3d(fd_,tr);
array<ll,3> 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<class T> vss sdumpNd(const string &header,
const vector<vector<vector<vector<T>>>> &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<vector<vector<vector<T>>>> fd=transpose4d(fd_,tr);
array<ll,4> 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<class NdT> void dumpNd(const string &h,const NdT &fd,const args &p=args(),ostream &os=cerr){ for (auto&&e: sdumpNd(h,fd,p)) os<<e<<endl; }
#else
template<class NdT> 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対応
string s=stringf1d(v,wd);
- -------- 1D配列ダンプ -------- ll,int,dd,mll対応
vector<string> 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対応
vector<string> 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対応
vector<string> 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対応
vector<string> 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<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);
}
};
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;
rangeNd(const NInt &sv_,const NInt &ev_): sv(sv_),ev(ev_){
for (Int i=0;i<DIM;++i) lv[i]=abs(sv[i]-ev[i])+1;
for (Int i=0;i<DIM;++i) dv[i]=sign(ev[i]-sv[i]);
for (Int i=0;i<DIM;++i) size_*=lv[i];
}
Int size()const{ return size_; }
Int csize()const{ return size_/lv[0]; }
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; }
Int toID(const NInt &vx){ //-1:範囲外
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;
}
return id;
}
NInt fromID(Int id){
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 第dMn軸まで対象 @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 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<VAL> dp_;
bool autoResize = true;
bool nextdp = false;//true:nextDP
ll R = -1; //nextDP時のdp_サイズ 0~R-1を%Rで使う
//-------- 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<class RNG> 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.size(),ini),autoResize(false){}
//nextDP用コンストラクタ 第1軸をサイズdiだけ取る
template<class RNG> PushBasedDP(STATE,VAL,Ope ope_,Tran tran_,ToID toID_,
FromID fromID_,VAL ini_,const RNG &rng,Int nxtWidth)
: ope(ope_),tran(tran_),toID(toID_),fromID(fromID_),ini(ini_),dmy(ini_),
dp_(rng.csize()*nxtWidth,ini),autoResize(false),
nextdp(true),R(rng.csize()*nxtWidth){}
//-------- アクセス・計算実行 --------
template<class... Args> VAL &operator()(Args&&... args){ return Dp(STATE{args...}); }
template<class... Args> void calc(Args&&... args){ calcSt({args...}); }
template<class RNG> void calcall(const RNG &rng){
if (nextdp) calcallNextDp(rng);
else calcallNoNextDp(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,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<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,ini);
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,ini);
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){
ll id=toID(vx);
if (id<0) return dmy=ini;
if (nextdp) id%=R;
if (autoResize && (ll)dp_.size()<=id) dp_.resize(id+1,ini);
return dp_[id];
//if (autoResize && (ll)dp_.size()<=id) dp_.resize(id+1,ini);
//return id<0 ? (dmy=ini) : dp_[id];
}
void calcSt(const STATE &vx){
auto dstVal=[&](const STATE &nvx,VAL val){
VAL &DpNvx=Dp(nvx);
VAL nval=ope(DpNvx,val);
if (DpNvx!=nval) DpNvx=nval,preRenew(nvx,vx);
};
tran(vx,Dp(vx),dstVal);
}
template<class RNG> void calcallNextDp(const RNG &rng){
auto [sx,ex,xl,dx]=rng.SELDx();
for (ll xx=0;xx<xl;++xx){
//1つ前を消去
if (xx>0){
ll id=toID(rng.start(xx-1))%R;
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));
}
}
template<class RNG> void calcallNoNextDp(const RNG &rng){
STATE vx=rng.start();
do calcSt(vx); while (rng.next(vx));
}
//-------- ダンプ --------
public:
#if 1
template<int N>
void dump(rangeNd<N> &rng,vector<string> labels={},const vector<ll> axes={0,1,2,3}){
args a=args().rngs(rng.rngs()).labels(labels).tr(axes);
auto ls=rng.ls();
if (nextdp){
a.sx(0).dx(1);
ls[0]=R/rng.csize();
}
dumpstring::dumpNd("",tov(ls),a);
}
#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 (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)const{}
#endif
};
void cin2solve()
{
auto S_=cin1<string>();
ll N=sz(S_);
wrapVector1d S(S_,'0');
/*
dp(i,s,u,z)
*/
using STATE=array<ll,4>; //i,s,u,z
using VAL=mll;
auto operation=[&](VAL a,VAL b){return a+b;}; VAL ini=0;
auto transition=[&](const STATE &vx,VAL va,auto dstVal){
auto[i,s,u,z]=vx;
ll mxdg= u==1 ? S[i+1]-'0' : 9;
rep(dg,0,mxdg){
ll zz = z && dg==0;
dstVal(STATE{i+1,zz ? 0 : s^(1ll<<dg), u && dg==mxdg, zz}, va);
}
};
auto [s1,e1]=pll{-1,N-1}; //1つ目の変数の範囲
auto [s2,e2]=pll{0,1023}; //2つ目の変数の範囲
auto [s3,e3]=pll{0,1}; //3つ目の変数の範囲
auto [s4,e4]=pll{0,1}; //4つ目の変数の範囲
rangeNd<4> rng({s1,s2,s3,s4},{e1,e2,e3,e4});
auto toID =[&rng](const STATE &vx){ return rng.toID(vx); };
auto fromID=[&rng](ll id){ return rng.fromID(id); };
//PushBasedDP dp(STATE(),VAL(),operation,transition,toID,fromID,ini,rng);
PushBasedDP dp(STATE(),VAL(),operation,transition,toID,fromID,ini,rng,2);
dp(-1,0,1,1)=1;
//dp.calcall(rng);
dp.calcall(rng);
VAL ans=dp(e1,0,0,0)+dp(e1,0,1,0);
cout << ans << '\n';
//dp.dump(rng,{"i","s","u","z"},{2,3,1,0});
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;
}