結果
| 問題 | No.117 組み合わせの数 |
| ユーザー |
|
| 提出日時 | 2018-09-24 23:52:16 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 66 ms / 5,000 ms |
| コード長 | 6,940 bytes |
| コンパイル時間 | 2,888 ms |
| コンパイル使用メモリ | 215,240 KB |
| 実行使用メモリ | 19,088 KB |
| 最終ジャッジ日時 | 2024-09-24 17:30:08 |
| 合計ジャッジ時間 | 3,255 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge1 |
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ソースコード
#pragma GCC optimize ("O3")
#include "bits/stdc++.h"
using namespace std;
using ll = long long int;
#define debugos cout
#define debug(v) {printf("L%d %s > ",__LINE__,#v);debugos<<(v)<<endl;}
#define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:(v)){debugos<<e<<" ";}debugos<<endl;}
#define debuga(m,w) {printf("L%d %s > ",__LINE__,#m);for(int x=0;x<(w);x++){debugos<<(m)[x]<<" ";}debugos<<endl;}
#define debugaa(m,h,w) {printf("L%d %s >\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){debugos<<(m)[y][x]<<" ";}debugos<<endl;}}
#define ALL(v) (v).begin(),(v).end()
#define repeat(cnt,l) for(remove_reference<remove_const<decltype(l)>::type>::type cnt=0;(cnt)<(l);++(cnt))
#define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt))
#define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt))
#define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt))
const ll MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L;
inline void assert_call(bool assertion, function<void()> f) { if (!assertion) { cerr << "assertion fault:" << endl; f(); abort(); } }
template<typename T1, typename T2> inline ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << '(' << p.first << ':' << p.second << ')'; return o; }
template<typename Vec> inline ostream& _ostream_vecprint(ostream& os, const Vec& a) {
os << '['; for (const auto& e : a) os << ' ' << e << ' '; os << ']'; return os;
}
template<typename T> inline ostream& operator<<(ostream& o, const vector<T>& v) { return _ostream_vecprint(o, v); }
template<typename T, size_t S> inline ostream& operator<<(ostream& o, const array<T, S>& v) { return _ostream_vecprint(o, v); }
template<typename T> inline T& maxset(T& to, const T& val) { return to = max(to, val); }
template<typename T> inline T& minset(T& to, const T& val) { return to = min(to, val); }
void bye(string s, int code = 0) { cout << s << endl; exit(code); }
mt19937_64 randdev(8901016);
template<typename T> inline T rand(T l, T h) { return uniform_int_distribution<T>(l, h)(randdev); }
template<> inline double rand<double>(double l, double h) { return uniform_real_distribution<double>(l, h)(randdev); }
template<> inline float rand<float>(float l, float h) { return uniform_real_distribution<float>(l, h)(randdev); }
#if defined(_WIN32) || defined(_WIN64)
#define getchar_unlocked _getchar_nolock
#define putchar_unlocked _putchar_nolock
#elif defined(__GNUC__)
#else
#define getchar_unlocked getchar
#define putchar_unlocked putchar
#endif
namespace {
#define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E)
class MaiScanner {
public:
template<typename T> void input_integer(T& var) noexcept {
var = 0; T sign = 1;
int cc = getchar_unlocked();
for (; cc < '0' || '9' < cc; cc = getchar_unlocked())
if (cc == '-') sign = -1;
for (; '0' <= cc && cc <= '9'; cc = getchar_unlocked())
var = (var << 3) + (var << 1) + cc - '0';
var = var * sign;
}
inline int c() noexcept { return getchar_unlocked(); }
inline MaiScanner& operator>>(int& var) noexcept { input_integer<int>(var); return *this; }
inline MaiScanner& operator>>(long long& var) noexcept { input_integer<long long>(var); return *this; }
inline MaiScanner& operator>>(string& var) {
int cc = getchar_unlocked();
for (; !isvisiblechar(cc); cc = getchar_unlocked());
for (; isvisiblechar(cc); cc = getchar_unlocked())
var.push_back(cc);
return *this;
}
template<typename IT> void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; }
};
class MaiPrinter {
public:
template<typename T>
void output_integer(T var) noexcept {
if (var == 0) { putchar_unlocked('0'); return; }
if (var < 0)
putchar_unlocked('-'),
var = -var;
char stack[32]; int stack_p = 0;
while (var)
stack[stack_p++] = '0' + (var % 10),
var /= 10;
while (stack_p)
putchar_unlocked(stack[--stack_p]);
}
inline MaiPrinter& operator<<(char c) noexcept { putchar_unlocked(c); return *this; }
inline MaiPrinter& operator<<(int var) noexcept { output_integer<int>(var); return *this; }
inline MaiPrinter& operator<<(long long var) noexcept { output_integer<long long>(var); return *this; }
inline MaiPrinter& operator<<(char* str_p) noexcept { while (*str_p) putchar_unlocked(*(str_p++)); return *this; }
inline MaiPrinter& operator<<(const string& str) {
const char* p = str.c_str();
const char* l = p + str.size();
while (p < l) putchar_unlocked(*p++);
return *this;
}
template<typename IT> void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; }
};
}
MaiScanner scanner;
MaiPrinter printer;
template<int MaxN, long long Mod>
class Combinatorics {
using value_type = long long;
value_type fact_[MaxN + 1];
// value_type inv_[MaxN + 1]; // iranai
value_type mypow(value_type x, value_type p, value_type mod = MD) {
value_type y = 1; x = x % mod;
for (; 0 < p; p >>= 1) {
if (p & 1) y = y * x % mod;
x = x * x % mod;
}
return y;
}
public:
Combinatorics() :fact_() {
fact_[0] = 1;
fact_[1] = 1;
for (value_type n = 2; n <= MaxN; ++n)
fact_[n] = (fact_[n - 1] * n) % Mod;
// inv_[Max] := calculate;
// iterate => inv_[i] = inv_[i+1] * (i+1) % MD;
}
inline value_type fact(int n) const {
return fact_[n];
}
inline value_type inv(value_type n) {
return mypow(n, MD - 2, MD);
}
inline value_type nPr(value_type n, value_type r) {
if (r < 0 || n < r) return 0;
return fact_[n] * inv(fact_[n - r]) % MD;
}
inline value_type nCr(value_type n, value_type r) {
if (n < r) return 0;
return ((fact_[n] * inv(fact_[n - r]) % MD) * inv(fact_[r])) % MD;
}
inline value_type nHr(value_type n, value_type r) {
if (n == 0 && r == 0) return 1;
if (n == 0) return 0;
return nCr(n - 1 + r, n - 1);
}
};
Combinatorics<2000100, MD> wakame;
int main() {
int T;
scanner >> T;
repeat(_, T) {
int c = scanner.c();
while ('A' > c || c > 'Z') c = scanner.c();
ll n, r;
scanner >> n >> r;
if (c == 'C') {
printer << wakame.nCr(n, r) << '\n';
}
else if (c == 'P') {
printer << wakame.nPr(n, r) << '\n';
}
else if (c == 'H') {
printer << wakame.nHr(n, r) << '\n';
}
}
return 0;
}