結果
問題 | No.117 組み合わせの数 |
ユーザー | mai |
提出日時 | 2018-01-21 19:54:20 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 6,517 bytes |
コンパイル時間 | 3,234 ms |
コンパイル使用メモリ | 216,056 KB |
実行使用メモリ | 34,688 KB |
最終ジャッジ日時 | 2024-06-07 15:31:46 |
合計ジャッジ時間 | 4,030 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
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ソースコード
#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" // define macro "/D__MAI" using namespace std; typedef long long int ll; #define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:v){cout<<e<<" ";}cout<<endl;} #define debuga(m,w) {printf("L%d %s > ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout<<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++){cout<<(m)[y][x]<<" ";}cout<<endl;}} #define ALL(v) (v).begin(),(v).end() #define repeat(cnt,l) for(auto cnt=0ll;(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 MD 1000000007ll #define PI 3.1415926535897932384626433832795 template<typename T1, typename T2> ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << "(" << p.first << ":" << p.second << ")"; return o; } template<typename T> T& maxset(T& to, const T& val) { return to = max(to, val); } template<typename T> 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); inline ll rand_range(ll l, ll h) { return uniform_int_distribution<ll>(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) { 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() { return getchar_unlocked(); } inline MaiScanner& operator>>(int& var) { input_integer<int>(var); return *this; } inline MaiScanner& operator>>(long long& var) { 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) { 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) { putchar_unlocked(c); return *this; } inline MaiPrinter& operator<<(int var) { output_integer<int>(var); return *this; } inline MaiPrinter& operator<<(long long var) { output_integer<long long>(var); return *this; } inline MaiPrinter& operator<<(char* str_p) { 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 = '\n') { for (auto it = begin; it != end; ++it) *this << *it << sep; } }; } MaiScanner scanner; MaiPrinter printer; template<typename T> inline T gcd(T a, T b) { while (b) { T t = a % b; a = b; b = t; }return a; } template<typename T> inline T lcm(T a, T b) { return a * b / gcd(a, b); } // MEMO : 逆元...pow_md(n,MOD-2,MOD) template<typename T> T pow_md(T x, T p, T mod = MD) { T y = 1; x = x % mod; while (0<p) { if (p & 1) y = (y*x) % mod; x = (x*x) % mod; p >>= 1; } return y; } template<typename T> T fact_md(T n, T mod = MD) { T p = 1; for (; 1<n; p = (p*n--) % mod); return p; } template<typename T> T nPr_md(T n, T r, T mod = MD) { T p = 1; for (r=n-r; r<n; p = (p*n--) % mod); return p; } template<typename T> T nCr_md(T n, T r, T mod = MD) { if (n / 2 < r) return nCr_md(n, n - r); T p = 1; for (; 0<r; r--) p = (((p*(n - r + 1)) % mod)*pow_md(r, mod - 2)) % mod; return p; } template<typename T> T nHr_md(T n, T r, T mod = MD) { return nCr_md(n - 1 + r, n - 1, mod); } const ll HIGH = 2000000; ll muls_d[HIGH+10]; ll divs_d[HIGH+10]; ll *muls = muls_d + 1; ll *divs = divs_d + 1; inline ll my_nPk(ll n, ll k) { return (muls[n] * divs[(n - k)]) % MD; } inline ll my_nCk(ll n, ll k) { assert(n < HIGH && k < HIGH); return (((muls[n] * divs[(n - k)]) % MD) * divs[k]) % MD; } inline ll my_nHr(ll n, ll r) { return my_nCk(n - 1 + r, n - 1); } int main() { muls[-1] = muls[0] = muls[1] = divs[-1] = divs[0] = divs[1] = 1; iterate(i, 2ll, HIGH+5) { muls[i] = (muls[i - 1] * i) % MD; divs[i] = (divs[i - 1] * pow_md(i, MD - 2)) % MD; } // iterate(y, 1ll, 5) { // iterate(x, y, 6) { // cout << " " << make_pair(x,y) << endl; // cout << make_pair(my_nCk(x, y),nCr_md(x, y)) << endl; // cout << make_pair(my_nPk(x, y),nPr_md(x, y)) << endl; // cout << make_pair(my_nHr(x, y),nHr_md(x, y)) << endl; // assert(my_nCk(x, y) == nCr_md(x, y)); // assert(my_nPk(x, y) == nPr_md(x, y)); // assert(my_nHr(x, y) == nHr_md(x, y)); // } // } // return 0; ll q; cin >> q; repeat(i, q) { char c; ll n, k; scanf("\n%c(%lld,%lld)", &c, &n, &k); // cerr << c << make_pair(n, k) << endl; if (c == 'H') { printer << my_nHr(n, k) << '\n'; } else if (c == 'C') { printer << (n < k ? 0 : my_nCk(n, k)) << '\n'; } else { printer << (n < k ? 0 : my_nPk(n, k)) << '\n'; } } return 0; }