結果
| 問題 | No.117 組み合わせの数 |
| ユーザー |
 shimomire
|
| 提出日時 | 2015-01-05 02:10:03 |
| 言語 | C++11 (gcc 11.4.0) |
| 結果 |
AC
|
| 実行時間 | 292 ms / 5,000 ms |
| コード長 | 5,817 bytes |
| コンパイル時間 | 5,642 ms |
| コンパイル使用メモリ | 234,636 KB |
| 実行使用メモリ | 18,940 KB |
| 最終ジャッジ日時 | 2024-06-13 02:39:29 |
| 合計ジャッジ時間 | 5,734 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge4 |
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ソースコード
#include <cassert>// c
#include <iostream>// io
#include <iomanip>
#include <fstream>
#include <sstream>
#include <vector>// container
#include <map>
#include <set>
#include <queue>
#include <bitset>
#include <stack>
#include <algorithm>// other
#include <complex>
#include <numeric>
#include <functional>
#include <random>
#include <regex>
using namespace std;
using i32=int32_t;using i64=int64_t;using ll =i64;using uint=uint32_t;using ull=uint64_t;
template<typename T> using matrix=vector<vector<T> >;
#define ALL(c) (begin(c)),(end(c))
#define REP(i,n) FOR(i,0,n)
#define REPr(i,n) FORr(i,0,n)
#define FOR(i,l,r) for(int i=(int)(l);i<(int)(r);++i)
#define FORr(i,l,r) for(int i=(int)(r)-1;i>=(int)(l);--i)
#define EACH(it,o) for(auto it = (o).begin(); it != (o).end(); ++it)
#define IN(l,v,r) ((l)<=(v) && (v)<(r))
#define UNIQUE(v) v.erase(unique(ALL(v)),v.end())
//debug
#define DUMP(x) cerr << #x << " = " << (x)
#define LINE() cerr<< " (L" << __LINE__ << ")"
class range {
private:
struct Iter{
int v;
int operator*(){return v;}
bool operator!=(Iter& itr) {return v < itr.v;}
void operator++() {++v;}
};
Iter i, n;
public:
range(int n) : i({0}), n({n}) {}
range(int i, int n) : i({i}), n({n}) {}
Iter& begin() {return i;}
Iter& end() {return n;}
};
//output
template<typename T> ostream& operator << (ostream& os, const vector<T>& as){REP(i,as.size()){if(i!=0)os<<" "; os<<as[i];}return os;}
template<typename T> ostream& operator << (ostream& os, const vector<vector<T>>& as){REP(i,as.size()){if(i!=0)os<<endl; os<<as[i];}return os;}
template<typename T> ostream& operator << (ostream& os, const set<T>& ss){for(auto a:ss){if(a!=ss.begin())os<<" "; os<<a;}return os;}
template<typename T1,typename T2> ostream& operator << (ostream& os, const pair<T1,T2>& p){os<<p.first<<" "<<p.second;return os;}
template<typename K,typename V> ostream& operator << (ostream& os, const map<K,V>& m){bool isF=true;for(auto& p:m){if(!isF)os<<endl;os<<p;isF=false;}return os;}
template<typename T1> ostream& operator << (ostream& os, const tuple<T1>& t){os << get<0>(t);return os;}
template<typename T1,typename T2> ostream& operator << (ostream& os, const tuple<T1,T2>& t){os << get<0>(t)<<" "<<get<1>(t);return os;}
template<typename T1,typename T2,typename T3> ostream& operator << (ostream& os, const tuple<T1,T2,T3>& t){os << get<0>(t)<<" "<<get<1>(t)<<" "<<get<2>(t);return os;}
template<typename T1,typename T2,typename T3,typename T4> ostream& operator << (ostream& os, const tuple<T1,T2,T3,T4>& t){os << get<0>(t)<<" "<<get<1>(t)<<" "<<get<2>(t)<<" "<<get<3>(t);return os;}
template<typename T1,typename T2,typename T3,typename T4,typename T5> ostream& operator << (ostream& os, const tuple<T1,T2,T3,T4,T5>& t){os << get<0>(t)<<" "<<get<1>(t)<<" "<<get<2>(t)<<" "<<get<3>(t)<<" "<<get<4>(t);return os;}
template<typename T1,typename T2,typename T3,typename T4,typename T5,typename T6> ostream& operator << (ostream& os, const tuple<T1,T2,T3,T4,T5,T6>& t){os << get<0>(t)<<" "<<get<1>(t)<<" "<<get<2>(t)<<" "<<get<3>(t)<<" "<<get<4>(t)<<" "<<get<5>(t);return os;}
template<typename T1,typename T2,typename T3,typename T4,typename T5,typename T6,typename T7> ostream& operator << (ostream& os, const tuple<T1,T2,T3,T4,T5,T6,T7>& t){os << get<0>(t)<<" "<<get<1>(t)<<" "<<get<2>(t)<<" "<<get<3>(t)<<" "<<get<4>(t)<<" "<<get<5>(t)<<" "<<get<6>(t);return os;}
//input
char tmp[1000];
#define nextInt(n) scanf("%d",&n)
#define nextLong(n) scanf("%lld",&n) //I64d
#define nextDouble(n) scanf("%lf",&n)
#define nextChar(n) scanf("%c",&n)
#define nextString(n) scanf("%s",tmp);n=tmp
// values
template<typename T> T INF(){assert(false);};
template<> int INF<int>(){return 1<<28;};
template<> ll INF<ll>(){return 1LL<<58;};
template<> double INF<double>(){return 1e16;};
template<class T> T EPS(){assert(false);};
template<> int EPS<int>(){return 1;};
template<> ll EPS<ll>(){return 1LL;};
template<> double EPS<double>(){return 1e-8;};
template<> long double EPS<long double>(){return 1e-8;};
template<typename T,typename U> T pmod(T v,U M){return (v%M+M)%M;}
ll gcd_positive(ll a,ll b) { return b == 0 ? a : gcd_positive(b,a%b); }
ll gcd(ll a,ll b) { return gcd_positive(abs(a), abs(b)); }
ll lcm(ll a,ll b){return a/gcd(a,b)*b;}
template <ll M=(ll)1e9+7> class modU{
public:
ll pmod(ll v){return (v%M+M)%M;}
ll ainv(ll a){return pmod(-a);}
ll add(ll a,ll b){return pmod(a+b);}
ll mul(ll a,ll b){return pmod(a*b);}
ll mpow(ll x, ll N){
ll res=1;
while(N>0){
if(N%2)res=mul(res,x);
x=mul(x,x);
N/=2;
}
return res;
}
ll minv(ll a){return mpow(a,M-2);}
//条件 N>=0
vector<ll> factmemo=vector<ll>(2000050,-1);
inline ll fact(const int N){
if(factmemo[N]!=-1)return factmemo[N];
return factmemo[N]=N==0?1:mul(N,fact(N-1));
}
//条件 N>=0
ll nPr(const int N,const int r){
if(r>N)return 0;
return mul(fact(N),minv(fact(N-r)));
}
ll nCr(const int N,const int r){
if(N<0){
if(0 <= r) return (r%2?-1:+1)*nCr(-N +r-1,r);
else if(r<=N) return ((N-r)%2?-1:+1)*nCr(-r-1,N-r);
else return 0;
}
if(0<= r && r<=N) return mul(mul(fact(N),minv(fact(r))),minv(fact(N-r)));
return 0;
}
};
class Main{
public:
modU<> mu;
void run(){
int T;cin >> T;
REP(i,2000050)mu.fact(i); //rec nest
regex re("(.)\\(([[:digit:]]+),([[:digit:]]+)\\)");
for(int t=0;t<T;t++){
int N,M;string type;
string s;cin >> s;
smatch match;
try{
regex_match(s,match,re);
}catch(regex_error err){
while(1);
}
type=match[1]; N=stoi(match[2]); M=stoi(match[3]);
if(type[0]=='C') cout << mu.nCr(N,M) <<endl;
if(type[0]=='P') cout << mu.nPr(N,M) <<endl;
if(type[0]=='H') cout << mu.nCr(N+M-1,M) <<endl;
}
}
};
int main(){
cout <<fixed<<setprecision(20);
cin.tie(0);
ios::sync_with_stdio(false);
Main().run();
return 0;
}