#line 2 "library/template/template.hpp" #include #line 3 "library/template/macro.hpp" #define SELECT4(a,b,c,d,e,...) e #define SELECT3(a,b,c,d,...) d #define REP1(a) for(ll i=0;i<(ll)(a);++i) #define REP2(i,a) for(ll i=0;i<(ll)(a);++i) #define REP3(i,a,b) for(ll i=(ll)(a);i<(ll)(b);++i) #define REP4(i,a,b,c) for(ll i=(ll)(a);i<(ll)(b);i+=(ll)(c)) #define rep(...) SELECT4(__VA_ARGS__,REP4,REP3,REP2,REP1)(__VA_ARGS__) #define RREP1(a) for(ll i=(ll)(a)-1;i>=0;--i) #define RREP2(i,a) for(ll i=(ll)(a)-1;i>=0;--i) #define RREP3(i,a,b) for(ll i=(ll)(b)-1;i>=(ll)(a);--i) #define rrep(...) SELECT3(__VA_ARGS__,RREP3,RREP2,RREP1)(__VA_ARGS__) #define all(v) std::begin(v),std::end(v) #define rall(v) std::rbegin(v),std::rend(v) #define INT(...) int __VA_ARGS__;scan(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__) #define STR(...) string __VA_ARGS__;scan(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__) #define pb push_back #define eb emplace_back #line 3 "library/template/alias.hpp" using ll=long long; using ull=unsigned long long; using ld=long double; using pi=std::pair; using pl=std::pair; using vi=std::vector; using vl=std::vector; using vs=std::vector; using vc=std::vector; using vvl=std::vector; using vd=std::vector; using vp=std::vector; using vb=std::vector; template struct infinity{ static constexpr T max=std::numeric_limits::max(); static constexpr T min=std::numeric_limits::min(); static constexpr T value=std::numeric_limits::max()/2; static constexpr T mvalue=std::numeric_limits::min()/2; }; templateconstexpr T INF=infinity::value; constexpr ll inf=INF; constexpr ld EPS=1e-8; constexpr ld PI=3.1415926535897932384626; constexpr int dx[8]={-1,0,1,0,1,-1,-1,1}; constexpr int dy[8]={0,1,0,-1,1,1,-1,-1}; #line 5 "library/template/func.hpp" inline constexpr int msb(ull x){ int res=x?0:-1; if(x&0xffffffff00000000)x&=0xffffffff00000000,res+=32; if(x&0xffff0000ffff0000)x&=0xffff0000ffff0000,res+=16; if(x&0xff00ff00ff00ff00)x&=0xff00ff00ff00ff00,res+=8; if(x&0xf0f0f0f0f0f0f0f0)x&=0xf0f0f0f0f0f0f0f0,res+=4; if(x&0xcccccccccccccccc)x&=0xcccccccccccccccc,res+=2; return res+(x&0xaaaaaaaaaaaaaaaa?1:0); } inline constexpr int ceil_log2(ull x){return x?msb(x-1)+1:0;} inline constexpr ull reverse(ull x){ x=((x&0x5555555555555555)<<1)|((x&0xaaaaaaaaaaaaaaaa)>>1); x=((x&0x3333333333333333)<<2)|((x&0xcccccccccccccccc)>>2); x=((x&0x0f0f0f0f0f0f0f0f)<<4)|((x&0xf0f0f0f0f0f0f0f0)>>4); x=((x&0x00ff00ff00ff00ff)<<8)|((x&0xff00ff00ff00ff00)>>8); x=((x&0x0000ffff0000ffff)<<16)|((x&0xffff0000ffff0000)>>16); return (x<<32)|(x>>32); } inline constexpr ull reverse(ull x,int len){return reverse(x)>>(64-len);} inline constexpr int popcnt(ull x){ #if __cplusplus>=202002L return std::popcount(x); #endif x=(x&0x5555555555555555)+((x>>1)&0x5555555555555555); x=(x&0x3333333333333333)+((x>>2)&0x3333333333333333); x=(x&0x0f0f0f0f0f0f0f0f)+((x>>4)&0x0f0f0f0f0f0f0f0f); x=(x&0x00ff00ff00ff00ff)+((x>>8)&0x00ff00ff00ff00ff); x=(x&0x0000ffff0000ffff)+((x>>16)&0x0000ffff0000ffff); return (x&0x00000000ffffffff)+((x>>32)&0x00000000ffffffff); } template inline constexpr bool chmin(T&a,U b){return a>b&&(a=b,true);} template inline constexpr bool chmax(T&a,U b){return a>=1; } return res; } inline constexpr ll mod_pow(ll a,ll b,const ll&mod){ if(mod==1)return 0; a%=mod; ll res=1; while(b){ if(b&1)(res*=a)%=mod; (a*=a)%=mod; b>>=1; } return res; } inline ll mod_inv(ll a,const ll&mod){ ll b=mod,x=1,u=0,t; while(b){ t=a/b; std::swap(a-=t*b,b); std::swap(x-=t*u,u); } if(x<0)x+=mod; return x; } template std::ostream &operator<<(std::ostream&os,const std::pair&p){os< std::istream &operator>>(std::istream&is,std::pair&p){is>>p.first>>p.second;return is;} template std::ostream &operator<<(std::ostream&os,const std::vector&v){for(auto it=std::begin(v);it!=std::end(v);){os<<*it<<((++it)!=std::end(v)?" ":"");}return os;} template std::istream &operator>>(std::istream&is,std::vector&v){for(T &in:v){is>>in;}return is;} inline void scan(){} template inline void scan(Head&head,Tail&... tail){std::cin>>head;scan(tail...);} template inline void print(const T &t){std::cout< inline void print(const Head &head, const Tail &... tail){std::cout< inline void fin(const T &... a){print(a...);exit(0);} #line 5 "library/template/util.hpp" struct IOSetup{ IOSetup(){ std::cin.tie(nullptr); std::ios::sync_with_stdio(false); std::cout.tie(0); std::cout< struct REC{ private: F f; public: explicit constexpr REC(F&&f_):f(std::forward(f_)){} template constexpr auto operator()(Args&&...args)const{ return f(*this, std::forward(args)...); } }; template> struct compressor{ private: std::vectordata; Comp cmp; bool sorted=false; public: compressor():compressor(Comp()){} compressor(const Comp&cmp):cmp(cmp){} compressor(const std::vector&dat,const Comp&cmp=Comp()):data(dat),cmp(cmp){} compressor(std::vector&&dat,const Comp&cmp=Comp()):data(std::move(dat)),cmp(cmp){} compressor(std::initializer_listli,const Comp&cmp=Comp()):data(li.begin(),li.end()),cmp(cmp){} void push_back(const T&v){assert(!sorted);data.push_back(v);} void push_back(T&&v){assert(!sorted);data.push_back(std::move(v));} templatevoid emplace_back(Args&&...args){assert(!sorted);data.emplace_back(std::forward(args)...);} void push(const std::vector&v){ assert(!sorted); const int n=data.size(); data.resize(v.size()+n); for(int i=0;i<(int)v.size();i++)data[i+n]=v[i]; } void build(){ assert(!sorted);sorted=1; std::sort(data.begin(),data.end(),cmp); data.erase(unique(data.begin(),data.end(),[&](const T&l,const T&r)->bool {return !cmp(l,r)&&!cmp(r,l);}),data.end()); } const T&operator[](int k)const& { assert(sorted); return data[k]; } int get_index(const T&v)const { assert(sorted); return int(lower_bound(data.begin(),data.end(),v,cmp)-data.begin()); } void press(std::vector&v)const { assert(sorted); for(auto&&i:v)i=get_index(i); } std::vectorpressed(const std::vector&v)const { assert(sorted); std::vectorret(v.size()); for(int i=0;i<(int)v.size();i++)ret[i]=get_index(v[i]); return ret; } int size()const { assert(sorted); return data.size(); } }; #line 4 "library/template/debug.hpp" template struct is_specialize:std::false_type{}; template struct is_specialize::type>:std::true_type{}; template struct is_specialize::type>:std::true_type{}; template struct is_specialize::value,void>>:std::true_type{}; inline void dump(const char&t){std::cerr<::value,std::nullptr_t> =nullptr> inline void dump(const T&t){std::cerr< inline void dump(const T&t,std::enable_if_t::value>* =nullptr){std::string tmp;if(t==infinity::value||t==infinity::max)tmp="inf";if(std::is_signed::value&&(t==infinity::mvalue||t==infinity::min))tmp="-inf";if(tmp.empty())tmp=std::to_string(t);std::cerr< inline void dump(const std::pair&); template inline void dump(const T&t,std::enable_if_t::value>* =nullptr){std::cerr<<"{";for(auto it=std::begin(t);it!=std::end(t);){dump(*it);std::cerr<<(++it==t.end()?"":",");}std::cerr<<"}";} template inline void dump(const std::pair&t){std::cerr<<"(";dump(t.first);std::cerr<<",";dump(t.second);std::cerr<<")";} inline void trace(){std::cerr< inline void trace(Head&&head,Tail&&... tail){dump(head);if(sizeof...(tail))std::cerr<<",";trace(std::forward(tail)...);} #ifdef ONLINE_JUDGE #define debug(...) (void(0)) #else #define debug(...) do{std::cerr<<#__VA_ARGS__<<"=";trace(__VA_ARGS__);}while(0) #endif #line 4 "library/template/type-traits.hpp" template struct int_least{ static_assert(size<=128,"size must be less than or equal to 128"); using type=typename std::conditional< size<=8,std::int_least8_t, typename std::conditional< size<=16,std::int_least16_t, typename std::conditional< size<=32,std::int_least32_t, typename std::conditional::type>::type>::type>::type; }; templateusing int_least_t=typename int_least::type; template struct uint_least{ static_assert(size<=128,"size must be less than or equal to 128"); using type=typename std::conditional< size<=8,std::uint_least8_t, typename std::conditional< size<=16,std::uint_least16_t, typename std::conditional< size<=32,std::uint_least32_t, typename std::conditional::type>::type>::type>::type; }; templateusing uint_least_t=typename uint_least::type; template using double_size_int=int_least::digits*2+1>; templateusing double_size_int_t=typename double_size_int::type; template using double_size_uint=uint_least::digits*2>; templateusing double_size_uint_t=typename double_size_uint::type; template using double_size=typename std::conditional::value,double_size_int,double_size_uint>::type; templateusing double_size_t=typename double_size::type; #line 9 "library/template/template.hpp" using namespace std; #line 3 "library/math/modular/modint.hpp" namespace internal{ struct modint_base{}; }//naespace internal templateusing is_modint=is_base_of; template struct StaticModInt:internal::modint_base{ static_assert(is_integral::value,"T must be integral"); static_assert(is_unsigned::value,"T must be unsgined"); static_assert(mod>0,"mod must be positive"); static_assert(mod<=INF,"mod*2 must be less than or equal to T::max()"); private: using large_t=typename double_size_uint::type; using signed_t=typename make_signed::type; T val; public: constexpr StaticModInt():val(0){} template::value&&is_unsigned::value>::type* =nullptr> constexpr StaticModInt(U x):val(x%mod){} template::value&&is_signed::value>::type* =nullptr> constexpr StaticModInt(U x):val{}{ x%=static_cast(mod); if(x<0)x+=static_cast(mod); val=static_cast(x); } T get()const{return val;} static constexpr T get_mod(){return mod;} static StaticModInt raw(T v){ StaticModInt res; res.val=v; return res; } StaticModInt inv()const{ return mod_inv(val,mod); } StaticModInt& operator++(){ ++val; if(val==mod)val=0; return *this; } StaticModInt operator++(int){ StaticModInt res=*this; ++*this; return res; } StaticModInt& operator--(){ if(val==0)val=mod; --val; return *this; } StaticModInt operator--(int){ StaticModInt res=*this; --*this; return res; } StaticModInt& operator+=(const StaticModInt&x){ val+=x.val; if(val>=mod)val-=mod; return *this; } StaticModInt& operator-=(const StaticModInt&x){ if(val((static_cast(val)*x.val)%mod); return *this; } StaticModInt& operator/=(const StaticModInt&x){ return *this*=x.inv(); } friend StaticModInt operator+(const StaticModInt&l,const StaticModInt&r){return StaticModInt(l)+=r;} friend StaticModInt operator-(const StaticModInt&l,const StaticModInt&r){return StaticModInt(l)-=r;} friend StaticModInt operator*(const StaticModInt&l,const StaticModInt&r){return StaticModInt(l)*=r;} friend StaticModInt operator/(const StaticModInt&l,const StaticModInt&r){return StaticModInt(l)/=r;} StaticModInt operator+()const{return StaticModInt(*this);} StaticModInt operator-()const{return StaticModInt()-*this;} friend bool operator==(const StaticModInt&l,const StaticModInt&r){return l.val==r.val;} friend bool operator!=(const StaticModInt&l,const StaticModInt&r){return l.val!=r.val;} StaticModInt pow(ll a)const{ StaticModInt v=*this,res=1; while(a){ if(a&1)res*=v; v*=v; a>>=1; } return res; } friend ostream &operator<<(ostream &os,const StaticModInt&x){ return os<>(istream &is,StaticModInt&x){ ll tmp; is>>tmp; x=StaticModInt(tmp); return is; } }; templateusing ModInt=StaticModInt; /** * @brief ModInt */ #line 3 "code.cpp" using mint=ModInt<998244353>; void solve(); int main(){ IOSetup(); ll t=1; //cin>>t; while(t--)solve(); } void solve(){ LL(n,m,k); vvl valid(1<=k)valid[i][j]=1; } vectordp(1<ndp(1<