#include #if __has_include() #include #include #include #endif using namespace std; #define LL(...) ll __VA_ARGS__;lin(__VA_ARGS__) #define fo(i,...) for(auto[i,i##stop,i##step]=for_range(0,__VA_ARGS__);ivoid pp(const auto&...a){[[maybe_unused]]const char*c="";((o<(a...);} #define entry defpp void main();void main2();}int main(){my::io();my::main();}namespace my{ #define use_ml998244353 using ml=atcoder::modint998244353; namespace my{ auto&operator<<(ostream&o,const atcoder::modint998244353&x){return o<<(int)x.val();} void io(){cin.tie(nullptr)->sync_with_stdio(0);cout<concept modulary=requires(T t){t.mod();}; templateconstexpr auto for_range(T s,T b){T a=0;if(s)swap(a,b);return array{a-s,b,1-s*2};} void lin(auto&...a){(cin>>...>>a);} auto cinen(const string&b){char c;lin(c);return b.find_first_of(c);} auto min(auto...a){return min(initializer_list>{a...});} templatestruct pair{ A a;B b; pair()=default; pair(A aa,B bb):a(aa),b(bb){} auto operator<=>(const pair&)const=default; }; templateusing pack_back_t=tuple_element_t>; } namespace my{ templateconcept vectorial=is_base_of_v::value_type>,remove_cvref_t>; templatestruct core_t_helper{using type=T;}; templateusing core_t=core_t_helper::type; templatestruct vec; templatestruct hvec_helper{using type=vec::type>;}; templatestruct hvec_helper<0,T>{using type=T;}; templateusing hvec=hvec_helper::type; templatestruct vec:vector{ using C=core_t; using vector::vector; vec(const vector&v):vector(v){} ll size()const{return vector::size();} auto fold(const auto&f)const{ pairr{}; fe(*this,e){ if constexpr(!vectorial){ if(r.b)f(r.a,e); else r={e,1}; }else { } } return r; } auto sum()const{return fold([](auto&a,const auto&b){a+=b;}).a;} auto max()const{return fold([](auto&a,auto b){if(arequires(sizeof...(A)>=2)vec(const A&...a)->vec>>; } namespace my{ templatestruct formal_power_series:vec{ using vec::vec; using fps=formal_power_series; static fps mul(const fps&a,const fps&b){ if constexpr(!modulary){ } else if constexpr(is_same_v)return atcoder::convolution(a,b); else { } } fps&operator*=(const fps&g){return*this=(this->size()&&g.size()?mul(*this,g):fps{});} binary_operator(*,fps) }; templateusing fps=formal_power_series; } namespace my{entry void main(){ LL(N); vecs(N),a(N); fo(i,N){ s[i]=cinen("UFWP"); lin(a[i]); } use_ml998244353 ll su=a.sum(); ll M=min(su,a.max()*3)+1; vec>f(3,fps(M)); fo(i,N){ if(s[i]<3){ f[s[i]][a[i]]+=ml(N-1).pow(a[i])-ml(N-2).pow(a[i]); } } auto g=f[0]*f[1]*f[2]; ml ans=0; fo(i,M)ans+=g[i]*ml(N-1).pow(su-i); pp(ans); }}