#line 1 "Verify/verify-yuki/yuki-117.test.cpp" #define PROBLEM "https://yukicoder.me/problems/no/117" #line 2 "Template.hpp" //https://tatyam.hatenablog.com/entry/2019/12/15/003634 #include using namespace std; using ll=long long; template using pq=priority_queue,greater>; using pll=pair; const ll LINF=1LL<<60; #define _overload3(_1,_2,_3,name,...) name #define _overload4(_1,_2,_3,_4,name,...) name #define _rep1(i,n) for(ll i=0; i<(n); i++) #define _rep2(i,a,b) for(ll i=(a); i<(b); i++) #define _rep3(i,a,b,c) for(ll i=(a); i<(b); i+=(c)) #define rep(...) _overload4(__VA_ARGS__,_rep3,_rep2,_rep1)(__VA_ARGS__) #define _rrep1(i,n) for(ll i=(n); i-->0;) #define _rrep2(i,a,b) for(ll i=(b); i-->(a);) #define rrep(...) _overload3(__VA_ARGS__,_rrep2,_rrep1)(__VA_ARGS__) #define each(i,...) for(auto&& i:__VA_ARGS__) #define all(i) begin(i),end(i) #define rall(i) rbegin(i),rend(i) template bool chmin(T &a,const T &b){if(a>b){a=b;return true;}else return false;} template bool chmax(T &a,const T &b){if(a ll sum(const T &a){return accumulate(all(a),0LL);} template auto min(const T &a){return *min_element(all(a));} template auto max(const T &a){return *max_element(all(a));} inline int scan(){ return getchar(); } inline void scan(int &a){ scanf("%d", &a); } inline void scan(unsigned &a){ scanf("%u", &a); } inline void scan(long &a){ scanf("%ld", &a); } inline void scan(long long &a){ scanf("%lld", &a); } inline void scan(unsigned long long &a){ scanf("%llu", &a); } inline void scan(char &a){ cin >> a; } inline void scan(float &a){ scanf("%f", &a); } inline void scan(double &a){ scanf("%lf", &a); } inline void scan(long double &a){ scanf("%Lf", &a); } inline void scan(vector &vec){ for(unsigned i = 0; i < vec.size(); i++) { int a; scan(a); vec[i] = a; } } inline void scan(char a[]){ scanf("%s", a); } inline void scan(string &a){ cin >> a; } template inline void scan(vector &vec); template inline void scan(array &vec); template inline void scan(pair &p); template inline void scan(T (&vec)[size]); template inline void scan(vector &vec){ for(auto &i : vec) scan(i); } template inline void scan(deque &vec){ for(auto &i : vec) scan(i); } template inline void scan(array &vec){ for(auto &i : vec) scan(i); } template inline void scan(pair &p){ scan(p.first); scan(p.second); } template inline void scan(T (&vec)[size]){ for(auto &i : vec) scan(i); } template inline void scan(T &a){ cin >> a; } inline void in(){} template inline void in(Head &head, Tail&... tail){ scan(head); in(tail...); } inline void print(){ putchar(' '); } inline void print(const bool &a){ printf("%d", a); } inline void print(const int &a){ printf("%d", a); } inline void print(const unsigned &a){ printf("%u", a); } inline void print(const long &a){ printf("%ld", a); } inline void print(const long long &a){ printf("%lld", a); } inline void print(const unsigned long long &a){ printf("%llu", a); } inline void print(const char &a){ printf("%c", a); } inline void print(const char a[]){ printf("%s", a); } inline void print(const float &a){ printf("%.15f", a); } inline void print(const double &a){ printf("%.15f", a); } inline void print(const long double &a){ printf("%.15Lf", a); } inline void print(const string &a){ for(auto&& i : a) print(i); } template inline void print(const vector &vec); template inline void print(const array &vec); template inline void print(const pair &p); template inline void print(const T (&vec)[size]); template inline void print(const vector &vec){ if(vec.empty()) return; print(vec[0]); for(auto i = vec.begin(); ++i != vec.end(); ){ putchar(' '); print(*i); } } template inline void print(const deque &vec){ if(vec.empty()) return; print(vec[0]); for(auto i = vec.begin(); ++i != vec.end(); ){ putchar(' '); print(*i); } } template inline void print(const array &vec){ print(vec[0]); for(auto i = vec.begin(); ++i != vec.end(); ){ putchar(' '); print(*i); } } template inline void print(const pair &p){ print(p.first); putchar(' '); print(p.second); } template inline void print(const T (&vec)[size]){ print(vec[0]); for(auto i = vec; ++i != end(vec); ){ putchar(' '); print(*i); } } template inline void print(const T &a){ cout << a; } inline int out(){ putchar('\n'); return 0; } template inline int out(const T &t){ print(t); putchar('\n'); return 0; } template inline int out(const Head &head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; } using ld=long double; using ull=unsigned long long; using uint=unsigned int; using pii=pair; using pdd=pair; using tuplis=array; #define vec(type,name,...) vector name(__VA_ARGS__); #define vv(type,name,h,...)vector> name(h,vector(__VA_ARGS__)); #define INT(...) int __VA_ARGS__; in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; in(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__; in(__VA_ARGS__) #define STR(...) string __VA_ARGS__; in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__; in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; in(__VA_ARGS__) #define VEC(type,name,size) vector name(size); in(name) #define VV(type, name, h, w) vector> name(h, vector(w)); in(name) template ld dsum(const T &a){return accumulate(all(a),0.0L);} const int INF=INT_MAX>>1; const ll MINF=1LL<<40; const ld DINF=numeric_limits::infinity(); const int MODD=1000000007; const int MOD=998244353; const ld EPS=1e-9; const ld PI=3.1415926535897932; const ll four[]={0,1,0,-1,0}; const ll eight[]={0,1,1,0,-1,-1,1,-1,0}; ll intpow(ll a,ll b){ll ret=1;while(b){if(b&1)ret*=a;a*=a;b>>=1;}return ret;} int Yes(bool i=true){return out(i?"Yes":"No");} int No(bool i=true){return out(i?"No":"Yes");} #define len(x) ((int)(x).size()) #define fi first #define se second #line 2 "Math/MontgomeryModint.hpp" template struct MontgomeryModint{ static constexpr uint64_t _rev(){ uint64_t Nd=0; uint64_t t=0; uint64_t r=1ULL<<32; uint64_t i=1; while(r){ if(!(t&1)){ t+=N; Nd+=i; } t>>=1; r>>=1; i<<=1; } return Nd; } static constexpr uint32_t _phi(){ uint32_t prime_fact=N; uint32_t ret=N; for(int i=2; i*i>32; static constexpr uint64_t MASK=R-1; static constexpr uint32_t inv_power=_phi()-1; static_assert(1>32; if(ret>=N)return ret-N; return ret; } constexpr uint64_t val()noexcept{ return _reduction(x); } friend ostream &operator<<(ostream &os,MontgomeryModint &b){ return os<=N)x-=N; return *this; } constexpr MontgomeryModint operator-=(MontgomeryModint rhs)noexcept{ x-=rhs.x; if(x<0)x+=N; return *this; } constexpr MontgomeryModint operator*=(MontgomeryModint rhs)noexcept{ x=_reduction(x*rhs.x); return *this; } constexpr MontgomeryModint operator/=(MontgomeryModint rhs){ (*this)*=rhs.inv(); return *this; } constexpr MontgomeryModint& operator++(){ (*this)+=1; return *this; } constexpr MontgomeryModint& operator--(){ (*this)-=1; return *this; } constexpr MontgomeryModint operator++(int){ (*this)+=1; return *this; } constexpr MontgomeryModint operator--(int){ (*this)-=1; return *this; } constexpr bool operator==(MontgomeryModint rhs)noexcept{ return (x>=N?x-N:x)==(rhs.x>=N?rhs.x-N:rhs.x); } constexpr bool operator!=(MontgomeryModint rhs)noexcept{ return (x>=N?x-N:x)!=(rhs.x>=N?rhs.x-N:rhs.x); } constexpr MontgomeryModint inv(){ MontgomeryModint ret=(*this).pow(inv_power); assert(ret*(*this)==1); return ret; } constexpr MontgomeryModint pow(uint64_t x)noexcept{ MontgomeryModint ret=1; MontgomeryModint bin=(*this); while(x){ if(x&1)ret*=bin; bin*=bin; x>>=1; } return ret; } }; template struct ArbitraryMontgomeryModint{ static uint64_t _rev(uint32_t N){ uint64_t Nd=0; uint64_t t=0; uint64_t r=1ULL<<32; uint64_t i=1; while(r){ if(!(t&1)){ t+=N; Nd+=i; } t>>=1; r>>=1; i<<=1; } return Nd; } static uint32_t _phi(uint32_t N){ uint32_t prime_fact=N; uint32_t ret=N; for(int i=2; i*i>32; MASK=R-1; inv_power=_phi(N)-1; assert(1>32; if(ret>=N)return ret-N; return ret; } uint64_t val()noexcept{ return _reduction(x); } friend ostream &operator<<(ostream &os,ArbitraryMontgomeryModint &b){ return os<=N)x-=N; return *this; } ArbitraryMontgomeryModint operator-=(ArbitraryMontgomeryModint rhs)noexcept{ x-=rhs.x; if(x<0)x+=N; return *this; } ArbitraryMontgomeryModint operator*=(ArbitraryMontgomeryModint rhs)noexcept{ x=_reduction(x*rhs.x); return *this; } ArbitraryMontgomeryModint operator/=(ArbitraryMontgomeryModint rhs){ (*this)*=rhs.inv(); return *this; } ArbitraryMontgomeryModint& operator++(){ (*this)+=1; return *this; } ArbitraryMontgomeryModint& operator--(){ (*this)-=1; return *this; } ArbitraryMontgomeryModint operator++(int){ (*this)+=1; return *this; } ArbitraryMontgomeryModint operator--(int){ (*this)-=1; return *this; } bool operator==(ArbitraryMontgomeryModint rhs)noexcept{ return (x>=N?x-N:x)==(rhs.x>=N?rhs.x-N:rhs.x); } bool operator!=(ArbitraryMontgomeryModint rhs)noexcept{ return (x>=N?x-N:x)!=(rhs.x>=N?rhs.x-N:rhs.x); } ArbitraryMontgomeryModint inv(){ ArbitraryMontgomeryModint ret=(*this).pow(inv_power); assert(ret*(*this)==1); return ret; } ArbitraryMontgomeryModint pow(uint64_t x)noexcept{ ArbitraryMontgomeryModint ret=1; ArbitraryMontgomeryModint bin=(*this); while(x){ if(x&1)ret*=bin; bin*=bin; x>>=1; } return ret; } }; templateuint64_t ArbitraryMontgomeryModint::N; templateuint64_t ArbitraryMontgomeryModint::R; templateuint64_t ArbitraryMontgomeryModint::Nd; templateuint64_t ArbitraryMontgomeryModint::Rr; templateuint64_t ArbitraryMontgomeryModint::MASK; templateuint32_t ArbitraryMontgomeryModint::inv_power; template inline void print(MontgomeryModint a){ cout << a; } template inline void print(ArbitraryMontgomeryModint a){ cout << a; } #line 2 "Math/BinomialCoefficient_Primemod.hpp" template struct BinomialCoefficient_Primemod{ vector fact={1},rev{1}; void resize(uint32_t sz){ sz++; if(fact.size()>=sz)return; uint32_t before=fact.size(); fact.resize(sz); rev.resize(sz); for(uint32_t i=before; i; void solve(){ LL(T); BinomialCoefficient_Primemod comb; comb.resize(2000000); rep(i,T){ STR(S); ll N=0,K=0; bool flg=false; each(j,S){ if(0<=j-'0'&&j-'0'<=9){ if(flg){ K*=10; K+=j-'0'; } else{ N*=10; N+=j-'0'; } } else if(j==','){ flg=true; } } if(i<=50000)out("s"); else if(S[0]=='C')out(comb.comb(N,K)); else if(S[0]=='P')out(comb.perm(N,K)); else if(S[0]=='H')out(comb.multi_comb(N,K)); } } int main(){ solve(); return 0; }