結果

問題 No.2807 Have Another Go (Easy)
ユーザー nouka28nouka28
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
このコードへのチャレンジ
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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
権限があれば一括ダウンロードができます

ソースコード

diff #

#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);
	}
}
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