結果
| 問題 | No.117 組み合わせの数 |
| ユーザー |
 hirayuu_yc
|
| 提出日時 | 2024-03-12 17:14:39 |
| 言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 16,546 bytes |
| コンパイル時間 | 3,147 ms |
| コンパイル使用メモリ | 257,216 KB |
| 実行使用メモリ | 34,772 KB |
| 最終ジャッジ日時 | 2024-09-29 22:22:46 |
| 合計ジャッジ時間 | 4,409 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
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ソースコード
#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<bits/stdc++.h>
using namespace std;
using ll=long long;
template<class T> using pq=priority_queue<T,vector<T>,greater<T>>;
using pll=pair<ll,ll>;
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<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return true;}else return false;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return true;}else return false;}
template<class T> ll sum(const T &a){return accumulate(all(a),0LL);}
template<class T> auto min(const T &a){return *min_element(all(a));}
template<class T> 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<bool> &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<class T> inline void scan(vector<T> &vec);
template<class T, size_t size> inline void scan(array<T, size> &vec);
template<class T, class L> inline void scan(pair<T, L> &p);
template<class T, size_t size> inline void scan(T (&vec)[size]);
template<class T> inline void scan(vector<T> &vec){ for(auto &i : vec) scan(i); }
template<class T> inline void scan(deque<T> &vec){ for(auto &i : vec) scan(i); }
template<class T, size_t size> inline void scan(array<T, size> &vec){ for(auto &i : vec) scan(i); }
template<class T, class L> inline void scan(pair<T, L> &p){ scan(p.first); scan(p.second); }
template<class T, size_t size> inline void scan(T (&vec)[size]){ for(auto &i : vec) scan(i); }
template<class T> inline void scan(T &a){ cin >> a; }
inline void in(){}
template <class Head, class... Tail> 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<class T> inline void print(const vector<T> &vec);
template<class T, size_t size> inline void print(const array<T, size> &vec);
template<class T, class L> inline void print(const pair<T, L> &p);
template<class T, size_t size> inline void print(const T (&vec)[size]);
template<class T> inline void print(const vector<T> &vec){ if(vec.empty()) return; print(vec[0]); for(auto i = vec.begin(); ++i != vec.end(); ){ putchar(' '); print(*i); } }
template<class T> inline void print(const deque<T> &vec){ if(vec.empty()) return; print(vec[0]); for(auto i = vec.begin(); ++i != vec.end(); ){ putchar(' '); print(*i); } }
template<class T, size_t size> inline void print(const array<T, size> &vec){ print(vec[0]); for(auto i = vec.begin(); ++i != vec.end(); ){ putchar(' '); print(*i); } }
template<class T, class L> inline void print(const pair<T, L> &p){ print(p.first); putchar(' '); print(p.second); }
template<class T, size_t size> inline void print(const T (&vec)[size]){ print(vec[0]); for(auto i = vec; ++i != end(vec); ){ putchar(' '); print(*i); } }
template<class T> inline void print(const T &a){ cout << a; }
inline int out(){ putchar('\n'); return 0; }
template<class T> inline int out(const T &t){ print(t); putchar('\n'); return 0; }
template<class Head, class... Tail> 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<int,int>;
using pdd=pair<ld,ld>;
using tuplis=array<ll,3>;
#define vec(type,name,...) vector<type> name(__VA_ARGS__);
#define vv(type,name,h,...)vector<vector<type>> name(h,vector<type>(__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<type> name(size); in(name)
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)
template<class T> 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<ld>::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<uint32_t N>
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<prime_fact; i++){
if(prime_fact%i==0){
ret-=ret/i;
while(prime_fact%i==0){
prime_fact/=i;
}
}
}
if(prime_fact!=1){
ret-=ret/prime_fact;
}
return ret;
}
static constexpr uint64_t R=(1ULL<<32);
static constexpr uint64_t Nd=_rev();
static constexpr uint64_t Rr=(Nd*N+1)>>32;
static constexpr uint64_t MASK=R-1;
static constexpr uint32_t inv_power=_phi()-1;
static_assert(1<N);
static_assert(N<(1<<30));
static_assert(N&1);
int64_t x;
constexpr uint32_t mod(){
return N;
}
constexpr MontgomeryModint()noexcept{
x=0;
}
constexpr MontgomeryModint(int64_t val)noexcept{
x=(((val%N)+N)%N<<32)%N;
}
constexpr uint64_t _reduction(uint64_t val)noexcept{
uint64_t ret=(val+(((val&MASK)*Nd)&MASK)*N)>>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<<b.val();
}
constexpr MontgomeryModint operator+()noexcept{return *this;}
constexpr MontgomeryModint operator-()noexcept{return MontgomeryModint()-(*this);}
constexpr friend MontgomeryModint operator+(MontgomeryModint lhs,MontgomeryModint rhs)noexcept{
return MontgomeryModint(lhs)+=rhs;
}
constexpr friend MontgomeryModint operator-(MontgomeryModint lhs,MontgomeryModint rhs)noexcept{
return MontgomeryModint(lhs)-=rhs;
}
constexpr friend MontgomeryModint operator*(MontgomeryModint lhs,MontgomeryModint rhs)noexcept{
return MontgomeryModint(lhs)*=rhs;
}
constexpr friend MontgomeryModint operator/(MontgomeryModint lhs,MontgomeryModint rhs){
return MontgomeryModint(lhs)/=rhs;
}
constexpr MontgomeryModint operator+=(MontgomeryModint rhs)noexcept{
x+=rhs.x;
if(x>=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<int32_t id>
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<prime_fact; i++){
if(prime_fact%i==0){
ret-=ret/i;
while(prime_fact%i==0){
prime_fact/=i;
}
}
}
if(prime_fact!=1){
ret-=ret/prime_fact;
}
return ret;
}
static uint64_t N,R,Nd,Rr,MASK;
static uint32_t inv_power;
int64_t x;
static void set_mod(uint32_t mod){
N=mod;
R=(1ULL<<32);
Nd=_rev(N);
Rr=(Nd*N+1)>>32;
MASK=R-1;
inv_power=_phi(N)-1;
assert(1<mod);
assert(mod<(1<<30));
assert(mod&1);
}
uint32_t mod(){
return N;
}
ArbitraryMontgomeryModint()noexcept{
x=0;
}
ArbitraryMontgomeryModint(int64_t val)noexcept{
x=(((val%N)+N)%N<<32)%N;
}
uint64_t _reduction(uint64_t val)noexcept{
uint64_t ret=(val+(((val&MASK)*Nd)&MASK)*N)>>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<<b.val();
}
ArbitraryMontgomeryModint operator+()noexcept{return *this;}
ArbitraryMontgomeryModint operator-()noexcept{return ArbitraryMontgomeryModint()-(*this);}
friend ArbitraryMontgomeryModint operator+(ArbitraryMontgomeryModint lhs,ArbitraryMontgomeryModint rhs)noexcept{
return ArbitraryMontgomeryModint(lhs)+=rhs;
}
friend ArbitraryMontgomeryModint operator-(ArbitraryMontgomeryModint lhs,ArbitraryMontgomeryModint rhs)noexcept{
return ArbitraryMontgomeryModint(lhs)-=rhs;
}
friend ArbitraryMontgomeryModint operator*(ArbitraryMontgomeryModint lhs,ArbitraryMontgomeryModint rhs)noexcept{
return ArbitraryMontgomeryModint(lhs)*=rhs;
}
friend ArbitraryMontgomeryModint operator/(ArbitraryMontgomeryModint lhs,ArbitraryMontgomeryModint rhs){
return ArbitraryMontgomeryModint(lhs)/=rhs;
}
ArbitraryMontgomeryModint operator+=(ArbitraryMontgomeryModint rhs)noexcept{
x+=rhs.x;
if(x>=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;
}
};
template<int id>uint64_t ArbitraryMontgomeryModint<id>::N;
template<int id>uint64_t ArbitraryMontgomeryModint<id>::R;
template<int id>uint64_t ArbitraryMontgomeryModint<id>::Nd;
template<int id>uint64_t ArbitraryMontgomeryModint<id>::Rr;
template<int id>uint64_t ArbitraryMontgomeryModint<id>::MASK;
template<int id>uint32_t ArbitraryMontgomeryModint<id>::inv_power;
template<uint32_t N> inline void print(MontgomeryModint<N> a){ cout << a; }
template<int32_t id> inline void print(ArbitraryMontgomeryModint<id> a){ cout << a; }
#line 2 "Math/BinomialCoefficient_Primemod.hpp"
template<typename T>
struct BinomialCoefficient_Primemod{
vector<T> 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<sz; i++){
fact[i]=fact[i-1]*i;
rev[i]=rev[i-1]/i;
}
}
T comb(int32_t n,int32_t k){
if(n<0||k<0||n<k)return 0;
resize(n);
return fact[n]*rev[n-k]*rev[k];
}
T perm(int32_t n,int32_t k){
if(n<0||k<0||n<k)return 0;
resize(n);
return fact[n]*rev[n-k];
}
T multi_comb(int32_t n,int32_t k){
return comb(n+k-1,k);
}
};
#line 5 "Verify/verify-yuki/yuki-117.test.cpp"
using mint=MontgomeryModint<MODD>;
void solve(){
LL(T);
BinomialCoefficient_Primemod<mint> 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;
}