結果
問題 | No.2807 Have Another Go (Easy) |
ユーザー | nouka28 |
提出日時 | 2024-07-12 23:22:08 |
言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 382 ms / 3,000 ms |
コード長 | 18,655 bytes |
コンパイル時間 | 7,324 ms |
コンパイル使用メモリ | 335,564 KB |
実行使用メモリ | 38,036 KB |
最終ジャッジ日時 | 2024-07-12 23:22:28 |
合計ジャッジ時間 | 18,824 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
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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 | 4 ms
7,492 KB |
testcase_01 | AC | 365 ms
37,896 KB |
testcase_02 | AC | 358 ms
37,776 KB |
testcase_03 | AC | 178 ms
22,536 KB |
testcase_04 | AC | 179 ms
22,616 KB |
testcase_05 | AC | 358 ms
37,908 KB |
testcase_06 | AC | 349 ms
37,904 KB |
testcase_07 | AC | 24 ms
8,968 KB |
testcase_08 | AC | 86 ms
14,724 KB |
testcase_09 | AC | 168 ms
22,520 KB |
testcase_10 | AC | 175 ms
22,556 KB |
testcase_11 | AC | 367 ms
37,780 KB |
testcase_12 | AC | 357 ms
37,908 KB |
testcase_13 | AC | 366 ms
38,036 KB |
testcase_14 | AC | 382 ms
37,908 KB |
testcase_15 | AC | 356 ms
37,904 KB |
testcase_16 | AC | 360 ms
37,780 KB |
testcase_17 | AC | 381 ms
37,908 KB |
testcase_18 | AC | 357 ms
37,776 KB |
testcase_19 | AC | 355 ms
37,908 KB |
testcase_20 | AC | 351 ms
37,908 KB |
testcase_21 | AC | 359 ms
38,032 KB |
testcase_22 | AC | 359 ms
37,904 KB |
testcase_23 | AC | 368 ms
37,784 KB |
testcase_24 | AC | 359 ms
38,032 KB |
testcase_25 | AC | 354 ms
37,964 KB |
testcase_26 | AC | 356 ms
37,908 KB |
testcase_27 | AC | 353 ms
37,780 KB |
testcase_28 | AC | 362 ms
37,908 KB |
testcase_29 | AC | 359 ms
38,032 KB |
testcase_30 | AC | 359 ms
37,780 KB |
testcase_31 | AC | 9 ms
7,860 KB |
testcase_32 | AC | 6 ms
7,720 KB |
testcase_33 | AC | 8 ms
7,996 KB |
testcase_34 | AC | 4 ms
7,524 KB |
testcase_35 | AC | 8 ms
7,860 KB |
testcase_36 | AC | 4 ms
7,716 KB |
testcase_37 | AC | 4 ms
7,628 KB |
testcase_38 | AC | 5 ms
7,544 KB |
testcase_39 | AC | 4 ms
7,552 KB |
testcase_40 | AC | 5 ms
7,624 KB |
testcase_41 | AC | 4 ms
7,720 KB |
testcase_42 | AC | 5 ms
7,536 KB |
testcase_43 | AC | 4 ms
7,644 KB |
testcase_44 | AC | 5 ms
7,512 KB |
testcase_45 | AC | 5 ms
7,616 KB |
ソースコード
#pragma region template /* template made by nouka28 last update 2024.7.7 */ //include #include<bits/stdc++.h> using namespace std; //atcoder #include<atcoder/all> using namespace atcoder; using mint=atcoder::modint998244353; // using mint=atcoder::modint1000000007; // using mint=atcoder::modint; istream& operator>>(istream&is,mint &x){long long x_;is>>x_;x=x_;return is;} ostream& operator<<(ostream&os,mint &x){os<<x.val();return os;} //pragma #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") //define // #define int long long #define pb push_back #define eb emplace_back #define ep emplace #define fi first #define se second #define ALL(x) begin(x),end(x) #define LEN(x) (signed int)(x.size()) #define BIT(x,i) ((x)>>(i)&1) //using using u32=unsigned int; using u64=unsigned long long; using ull=unsigned long long; using i32=signed int; using i64=signed long long; using ll=signed long long; using f64=double; using f80=long double; using pi=pair<i32,i32>; using pl=pair<i64,i64>; using pd=pair<f80,f80>; template<class T>using V=vector<T>; template<class T>using VV=V<V<T>>; template<class T>using VVV=V<V<V<T>>>; template<class T>using VVVV=V<V<V<V<T>>>>; template<class T>using VVVVV=V<V<V<V<V<T>>>>>; template<class T>using pqmax=priority_queue<T>; template<class T>using pqmin=priority_queue<T,vector<T>,greater<T>>; using u128=__uint128_t; using i128=__int128_t; //io INT128 i128 i128_parse(string &s){i128 ret=0;for(i32 i=0;i<(i32)s.length();i++)if('0'<=s[i]&&s[i]<='9')ret=10*ret+s[i]-'0';return ret;} u128 u128_parse(string &s){u128 ret=0;for(i32 i=0;i<(i32)s.length();i++)if('0'<=s[i]&&s[i]<='9')ret=10*ret+s[i]-'0';return ret;} istream &operator>>(istream &is,i128 &x){string s;is>>s;x=i128_parse(s);return is;} istream &operator>>(istream &is,u128 &x){string s;is>>s;x=u128_parse(s);return is;} ostream &operator<<(ostream &os,i128 x){ ostream::sentry s(os); if(s){u128 tmp=x<0?-x:x;char buffer[128];char *d=end(buffer); do{--d;*d="0123456789"[tmp%10];tmp/=10;}while(tmp!=0); if(x<0){--d;*d='-';} int len=end(buffer)-d; if (os.rdbuf()->sputn(d,len)!=len){os.setstate(ios_base::badbit);} } return os; } //const const i64 LINF=0x1fffffffffffffff; const i32 INF=0x3fffffff; const i64 MOD=998244353; const i64 MOD2=1000000007; const f80 PI=3.1415926535897932384626433832795028841971; const f80 DINF=numeric_limits<f80>::infinity(); const f80 EPS=1e-9; const i64 di[]={0,1,0,-1,1,-1,1,-1}; const i64 dj[]={1,0,-1,0,1,1,-1,-1}; //function #define overload4(_1,_2,_3,_4,name,...) name #define overload3(_1,_2,_3,name,...) name #define rep1(n) for(i64 i=0;i<n;i++) #define rep2(i,n) for(i64 i=0;i<n;i++) #define rep3(i,a,b) for(i64 i=a;i<b;i++) #define rep4(i,a,b,c) for(i64 i=a;i<b;i+=c) #define rep(...) overload4(__VA_ARGS__,rep4,rep3,rep2,rep1)(__VA_ARGS__) #define rrep1(n) for(i64 i=n;i--;) #define rrep2(i,n) for(i64 i=n;i--;) #define rrep3(i,a,b) for(i64 i=b;i-->(a);) #define rrep4(i,a,b,c) for(i64 i=(a)+((b)-(a)-1)/(c)*(c)i>=a;i-=c) #define rrep(...) overload4(__VA_ARGS__,rrep4,rrep3,rrep2,rrep1)(__VA_ARGS__) #define SUM(...) accumulate(ALL(__VA_ARGS__),i64(0)) #define DSUM(...) accumulate(ALL(__VA_ARGS__),f80(0)) template<class T>bool chmin(T &x,const T&y){if(x>y){x=y;return true;}return false;} template<class T>bool chmax(T &x,const T&y){if(x<y){x=y;return true;}return false;} template<class T>i32 lob(const V<T>&arr,const T&v){return (i32)(lower_bound(ALL(arr),v)-arr.begin());} template<class T>i32 upb(const V<T>&arr,const T&v){return (i32)(upper_bound(ALL(arr),v)-arr.begin());} template<class T>constexpr auto min(T a,T b,T c){return min(a,min(b,c));} template<class... T>constexpr auto min(T... a){return min(initializer_list<common_type_t<T...>>{a...});} template<class T>constexpr auto max(T a,T b,T c){return max(a,max(b,c));} template<class... T>constexpr auto max(T... a){return max(initializer_list<common_type_t<T...>>{a...});} //io struct SetUpIO{ SetUpIO(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout<<fixed<<setprecision(15); } }set_up_io; //in void scan(char &x){cin>>x;} void scan(u32&x){cin>>x;} void scan(u64 &x){cin>>x;} void scan(i32 &x){cin>>x;} void scan(i64 &x){cin>>x;} void scan(string &x){cin>>x;} void scan(mint &x){cin>>x;} template<class T1,class T2>void scan(pair<T1,T2> &x){scan(x.first);scan(x.second);} template<class T>void scan(V<T> &x){for(T &ele:x){scan(ele);}} template<class T>void scan(deque<T> &x){for(T &ele:x){scan(ele);}} template<class T,i32 size>void scan(array<T,size> &x){for(T &ele:x){scan(ele);}} template<class T,i32 size>void scan(T (&x)[size]){for(T &ele:x){scan(ele);}} void rd(){} template<class Head,class... Tail>void rd(Head &head,Tail &...tail){scan(head);rd(tail...);} #define CHR(...) char __VA_ARGS__;rd(__VA_ARGS__) #define U32(...) u32 __VA_ARGS__;rd(__VA_ARGS__) #define U64(...) u64 __VA_ARGS__;rd(__VA_ARGS__) #define I32(...) i32 __VA_ARGS__;rd(__VA_ARGS__) #define I64(...) i64 __VA_ARGS__;rd(__VA_ARGS__) #define UINT(...) u32 __VA_ARGS__;rd(__VA_ARGS__) #define ULL(...) u64 __VA_ARGS__;rd(__VA_ARGS__) #define INT(...) i32 __VA_ARGS__;rd(__VA_ARGS__) #define LL(...) i64 __VA_ARGS__;rd(__VA_ARGS__) #define STR(...) string __VA_ARGS__;rd(__VA_ARGS__) #define VEC(type,name,size) V<type> name(size);rd(name); #define VVEC(type,name,size1,size2) VV<type> name(size1,V<type>(size2));rd(name) //out void print(){putchar(' ');} void print(bool x){printf("%d",x);} void print(u32 x){printf("%u",x);} void print(u64 x){printf("%llu",x);} void print(i32 x){printf("%d",x);} void print(i64 x){printf("%lld",x);} void print(char x){printf("%c",x);} void print(f64 x){printf("%.15f",x);} void print(f80 x){printf("%.15Lf",x);} void print(const string &x){for(auto&&i:x)print(i);} void print(mint x){printf("%d",x.val());} template<class T>void print(const V<T>&); template<class T1,class T2>void print(const pair<T1,T2>&x){print(x.first);putchar(' ');print(x.second);} template<class T>void print(complex<T>&x){if(x.real()>=0)print('+');print(x.real());if(x.imag()>=0)print('+');print(x.imag());print('i');} template<class T>void print(const V<T>&x){if(x.empty())return;print(x[0]);for(auto i=x.begin();++i!=x.end();){putchar(' ');print(*i);}} template<class T>void print(const deque<T>&x){if(x.empty())return;print(x[0]);for(auto i=x.begin();++i!=x.end();){putchar(' ');print(*i);}} template<class T>void print(const set<T>&x){if(x.empty())return;print(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(' ');print(*i);}} template<class T>void print(const unordered_set<T>&x){if(x.empty())return;print(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(' ');print(*i);}} template<class T>void print(const multiset<T>&x){if(x.empty())return;print(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(' ');print(*i);}} template<class T>void print(const unordered_multiset<T>&x){if(x.empty())return;print(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(' ');print(*i);}} template<class T1,class T2>void print(map<T1,T2>&x){if(x.empty())return;print(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(' ');print(*i);}} template<class T1,class T2>void print(unordered_map<T1,T2>&x){if(x.empty())return;print(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(' ');print(*i);}} template<class T, size_t size> void print(const array<T, size>& x){ print(x[0]); for(auto i = x.begin(); ++i != x.end(); ){ putchar(' '); print(*i); } } template<class T,i32 size>void print(const T(&x)[size]){print(x[0]);for(auto i=x;++i!=end(x);){/*putchar(' ');*/print(*i);}} template<class T>void print(const T&a){cout<<a;} int out(){putchar('\n');return 0;} template<class T>int out(const T&t){print(t);putchar('\n');return 0;} template<class Head,class... Tail>int out(const Head&head,const Tail&...tail){print(head);putchar(' ');out(tail...);return 0;} #ifdef LOCAL void dbg(){putchar(' ');} void dbg(bool x){printf("%d",x);} void dbg(u32 x){printf("%u",x);} void dbg(u64 x){printf("%llu",x);} void dbg(i32 x){printf("%d",x);} void dbg(i64 x){printf("%lld",x);} void dbg(char x){printf("%c",x);} void dbg(f64 x){printf("%.15f",x);} void dbg(f80 x){printf("%.15Lf",x);} void dbg(const string &x){for(auto&&i:x)dbg(i);} void dbg(mint x){printf("%d",x.val());} template<class T>void dbg(const V<T>&); template<class T1,class T2>void dbg(const pair<T1,T2>&x){putchar('(');dbg(x.first);putchar(',');dbg(x.second);putchar(')');} template<class T>void dbg(complex<T>&x){if(x.real()>=0)dbg('+');dbg(x.real());if(x.imag()>=0)dbg('+');dbg(x.imag());dbg('i');} template<class T>void dbg(const V<T>&x){putchar('[');if(!x.empty()){dbg(x[0]);for(auto i=x.begin();++i!=x.end();){putchar(',');dbg(*i);}}putchar(']');} template<class T>void dbg(const deque<T>&x){putchar('[');if(!x.empty()){dbg(x[0]);for(auto i=x.begin();++i!=x.end();){putchar(',');dbg(*i);}}putchar(']');} template<class T>void dbg(const set<T>&x){putchar('{');if(!x.empty()){dbg(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(',');dbg(*i);}}putchar('}');} template<class T>void dbg(const unordered_set<T>&x){putchar('{');if(!x.empty()){dbg(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(',');dbg(*i);}}putchar('}');} template<class T>void dbg(const multiset<T>&x){putchar('{');if(!x.empty()){dbg(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(',');dbg(*i);}}putchar('}');} template<class T>void dbg(const unordered_multiset<T>&x){putchar('{');if(!x.empty()){dbg(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(',');dbg(*i);}}putchar('}');} template<class T1,class T2>void dbg(map<T1,T2>&x){putchar('{');if(!x.empty()){dbg(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(',');dbg(*i);}}putchar('}');} template<class T1,class T2>void dbg(unordered_map<T1,T2>&x){putchar('{');if(!x.empty()){dbg(*x.begin());for(auto i=x.begin();++i!=x.end();){putchar(',');dbg(*i);}}putchar('}');} template<class T, size_t size> void dbg(const array<T, size>& x){ putchar('[');dbg(x[0]); for(auto i = x.begin(); ++i != x.end(); ){ putchar(','); dbg(*i); } putchar(']');} template<class T,i32 size>void dbg(const T(&x)[size]){/*putchar('[');*/dbg(x[0]);for(auto i=x;++i!=end(x);){/*putchar(' ')*/;dbg(*i);}/*putchar(']');*/} template<class T>void dbg(const T&a){cout<<a;} int dbg2(){putchar('\n');return 0;} template<class T>int dbg2(const T&t){dbg(t);putchar('\n');return 0;} template<class Head,class... Tail>int dbg2(const Head&head,const Tail&...tail){dbg(head);putchar(' ');dbg2(tail...);return 0;} #define debug(...) {dbg((string)(#__VA_ARGS__));dbg(":");dbg2(__VA_ARGS__);} #else #define debug(...) void(0) #endif //random random_device rnd;mt19937 mt(rnd());const i64 MT_MAX=LINF; uniform_int_distribution<i64> RAND(0,MT_MAX); f64 randd(){return 1.0*RAND(mt)/MT_MAX;} //random value [a,b] i64 randint(i64 a,i64 b){return a+RAND(mt)%(b-a+1);} //funtion2 #define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__})) vector<vector<i64>> __MAKE_MAT__(vector<i64> v){ if(v.empty())return vector<vector<i64>>(1,vector<i64>()); i64 n=v.back();v.pop_back();vector<vector<i64>> ret,tmp=__MAKE_MAT__(v); for(auto e:tmp)for(i64 i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);} return ret; } //V',Pを返す。PはVを昇順に並べた時のidx template<class T> pair<vector<T>,vector<i32>> sortperm(vector<T> v){ vector<pair<T,int>> sv; for(i32 i=0;i<(i32)v.size();i++){sv.push_back({v[i],i});} sort(sv.begin(),sv.end());vector<T> rv;vector<i32> p; for(auto[x,idx]:sv){rv.push_back(x);p.push_back(idx);} return {rv,p}; } i64 pow(i64 a,i64 b){i64 x=1;while(b){if(b&1){x*=a;}a=a*a;b>>=1;}return x;} bool isupper(char x){return('A'<=x&&x<='Z');} bool islower(char x){return('a'<=x&&x<='z');} char upper(char &x){if(isupper(x)){return x;}return x-'a'+'A';} char lower(char &x){if(islower(x)){return x;}return x-'A'+'a';} string upper(string s){for(auto&e:s)e=upper(e);return s;} string lower(string s){for(auto&e:s)e=lower(e);return s;} bool isdigit(char x){return('0'<=x&&x<='9');} bool ingrid(int x,int y,int h,int w){return 0<=x&&x<h&&0<=y&&y<w;} #pragma endregion template<class mint> struct FormalPowerSeries:vector<mint>{ using vector<mint>::vector; using vector<mint>::operator=; using fps=FormalPowerSeries; using sfps=vector<pair<int,mint>>; fps& operator+=(const fps& g){ if(g.size()>this->size())this->resize(g.size()); for(int i=0;i<(int)g.size();i++)(*this)[i]+=g[i]; return *this; } fps& operator+=(const mint& v){ if(this->empty())this->resize(1); (*this)[0]+=v; return *this; } fps operator+(const fps& g)const{return fps(*this)+=g;} fps operator+(const mint& v)const{return fps(*this)+=v;} friend fps operator+(const mint& v,const fps& f){return f+v;} fps& operator+=(const int& v){*this+=mint(v);return *this;} fps operator+(const int& v){return fps(*this)+=v;;} friend fps operator+(const int& v,const fps& f){return f+v;} fps& operator-=(const fps& g){ if(g.size()>this->size())this->resize(g.size()); for(int i=0;i<(int)g.size();i++)(*this)[i]-=g[i]; return *this; } fps& operator-=(const mint& v){ if(this->empty())this->resize(1); (*this)[0]-=v; return *this; } fps operator-(const fps& g)const{return fps(*this)-=g;} fps operator-(const mint& v)const{return fps(*this)-=v;} friend fps operator-(const mint& v,const fps& f){return -(f-v);} fps& operator-=(const int& v){*this-=v;return *this;} fps operator-(const int& v){return fps(*this)-=v;} friend fps operator-(const int& v,const fps& f){return -(f-v);} fps operator-()const{return fps(*this)*=-1;} fps& operator*=(const mint& v){for(auto&e:*this)e*=v;return *this;} fps operator*(const mint& v)const{return fps(*this)*=v;} friend fps operator*(const mint& v,const fps& f){return f*v;} fps& operator*=(const int& v){*this*=mint(v);return *this;} fps operator*(const int& v)const{return fps(*this)*=v;} friend fps operator*(const int&v,const fps& f){return f*v;} fps& operator<<=(const int d){ this->insert(this->begin(),d,0); return *this; } fps operator<<(const int d)const{return fps(*this)<<=d;} fps& operator>>=(const int d){ this->erase(this->begin(),this->begin()+min((int)this->size(),d)); return *this; } fps operator>>(const int d)const{return fps(*this)>>=d;} //fast fps& operator*=(const fps& g){ *this=atcoder::convolution(*this,g); return *this; } //naive // fps& operator*=(const fps& g){ // this->resize(this->size()+g.size()-1); // for(int i=(int)this->size()-1;i>=0;i--){ // for(int j=1;j<=(int)g.size();j++){ // if(i+j>=(int)this->size())break; // (*this)[i+j]+=(*this)[i]*g[j]; // } // (*this)[i]*=g[0]; // } // return *this; // } fps operator*(const fps& g)const{return fps(*this)*=g;} fps inv(int d)const{ fps g={(*this)[0].inv()}; for(int k=1;k<d;k*=2){ g=(2-*this*g)*g; g.resize(2*k); } g.resize(d+1); return g; } fps& operator/=(const fps& g){return *this=fps(*this*=g.inv()).pre(this->size());} fps& operator/=(const mint& v){for(auto&e:*this)e/=v;return *this;} fps operator/(const fps& g)const{return fps(*this)/=g;} fps operator/(const mint& v)const{return fps(*this)/=v;} fps quotient(const fps& g)const{ if(this->size()<g.size())return fps(); return (fps(this->rev()/g.rev()).pre(this->size()-g.size()+1)).rev(); } fps reminder(const fps& g)const{return fps(*this-this->quotient(g)*g).pre(g.size()-1);} pair<fps,fps> quotient_reminder(const fps& g)const{ pair<fps,fps> res; res.first=this->quotient(g); res.second=fps(*this-res.first*g).pre(g.size()-1); return res; } void shrink(){ while(this->size()&&this->back()==mint(0))this->pop_back(); } fps rev()const{fps g(*this);reverse(g.begin(),g.end());return g;} fps dot(fps g)const{ fps res(min(this->size(),g.size())); for(int i=0;i<(int)res.size();i++)res[i]=(*this)[i]*g[i]; return res; } fps pre(int d)const{ fps res(begin(*this),begin(*this)+min((int)this->size(),d)); if((int)res.size()<d)res.resize(d); return res; } fps& operator*=(const sfps& g){ auto it0=g.begin(); mint g0=0; if(it0->first==0){ g0=it0->second; it0++; } for(int i=this->size()-1;i>=0;i--){ for(auto it=it0;it!=g.end();it++){ auto[j,gj]=*it; if(i+j>=this->size())break; (*this)[i+j]+=(*this)[i]*gj; } (*this)[i]*=g0; } return *this; } fps operator*(const sfps& g)const{return fps(*this)*=g;} fps& operator/=(const sfps& g){ auto it0=g.begin(); assert(it0->first==0&&it0->second!=0); mint g0_inv=it0->second.inv(); it0++; for(int i=0;i<(int)this->size();i++){ (*this)[i]*=g0_inv; for(auto it=it0;it!=g.begin();it++){ auto[j,gj]=*it; if(i+j>=this->size())break; (*this)[i+j]-=(*this)[i]*gj; } } return *this; } fps operator/(const sfps& g)const{return fps(*this)/=g;} fps pow(long long d,const fps& g)const{ fps res={1},pow2=*this; while(d>0){ if(d&1)res=(res*pow2).reminder(g); pow2=(pow2*pow2).reminder(g); d>>=1; } return res; } fps derivative()const{ fps res; for(int i=1;i<(int)this->size();i++)res.push_back((*this)[i]*i); return res; } fps integral()const{ fps res={0}; for(int i=0;i<(int)this->size();i++)res.push_back((*this)[i]/(i+1)); return res; } fps log(int d)const{ return fps(this->derivative()*this->inv(d)).integral().pre(d); } fps exp(int d)const{ fps g={1}; for(int k=1;k<d;k*=2){ g=g*(*this+1-g.log(2*k)); g.resize(2*k); } return g.pre(d); } fps pow(long long k,int d)const{ if(k==0){ fps res(d,mint(0)); if(d)res[0]=1; return res; } int i0=0; while(i0<(int)this->size()&&(*this)[i0]==mint(0))i0++; if(i0==(int)this->size())return fps(d,mint(0)); mint c0=(*this)[i0]; fps fs=(*this>>i0)/c0; if(i0>=(d+k-1)/k)return fps(d,mint(0)); int ds=(int)(d-k*i0); fps gs=fps(mint(k)*fs.log(ds)).exp(ds); fps g=fps(gs*c0.pow(k))<<(int)(k*i0); return g; } friend istream& operator>>(istream& is,fps&f){ for(auto&e:f)cin>>e; return is; } friend ostream& operator<<(ostream& os,const fps& f){ if((int)f.size()==0)os<<0; else{ for(int i=0;i<(int)f.size();i++){ os<<f[i].val(); if(i<(int)f.size()-1)os<<" "; } return os; } return os; } }; using fps=FormalPowerSeries<mint>; using sfps=vector<pair<int,mint>>; mint f[1000009]; int main(){ INT(n,m,k); VEC(int,c,k); //( -1+x^2+2*x^3+3*x^4+4*x^5 ) / ( -1+x+x^2+x^3+x^4+x^5+x^6 ) fps f1={-1,0,1,2,3,4},g={-1,1,1,1,1,1,1}; f1*=g.inv(2*n+10); // cout<<f1<<endl; f[0]=1; rep(i,2*n+1){ rep(j,1,7){ f[i+j]+=f[i]; } } // rep(i,2*n+1)cout<<f[i]<<" "; // cout<<endl; rep(i,k){ mint ans=f[c[i]]*f1[2*n-c[i]+5]; ans+=f[n+c[i]]*f1[n-c[i]+5]; ans-=f[c[i]]*f[n]*f1[n-c[i]+5]; out(ans); } }