結果

問題 No.117 組み合わせの数
ユーザー FF256grhy
提出日時 2017-10-24 15:10:22
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 98 ms / 5,000 ms
コード長 3,182 bytes
コンパイル時間 1,601 ms
コンパイル使用メモリ 171,444 KB
実行使用メモリ 34,824 KB
最終ジャッジ日時 2024-11-21 17:37:20
合計ジャッジ時間 2,205 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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ファイルパターン 結果
other AC * 1
権限があれば一括ダウンロードができます
コンパイルメッセージ
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/istream:39,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/sstream:38,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/complex:45,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/ccomplex:39,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/x86_64-pc-linux-gnu/bits/stdc++.h:54,
                 from main.cpp:1:
In member function 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long long int) [with _CharT = char; _Traits = std::char_traits<char>]',
    inlined from 'int main()' at main.cpp:105:11:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/ostream:202:25: warning: 'ans' may be used uninitialized [-Wmaybe-uninitialized]
  202 |       { return _M_insert(__n); }
      |                ~~~~~~~~~^~~~~
main.cpp: In function 'int main()':
main.cpp:100:20: note: 'ans' was declared here
  100 |                 LL ans;
      |                    ^~~

ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;

typedef long long   signed int LL;
typedef long long unsigned int LU;

#define incID(i, l, r) for(int i = (l)    ; i <  (r); i++)
#define incII(i, l, r) for(int i = (l)    ; i <= (r); i++)
#define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--)
#define decII(i, l, r) for(int i = (r)    ; i >= (l); i--)
#define  inc(i, n) incID(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define  dec(i, n) decID(i, 0, n)
#define dec1(i, n) decII(i, 1, n)

#define inII(v, l, r) ((l) <= (v) && (v) <= (r))
#define inID(v, l, r) ((l) <= (v) && (v) <  (r))

#define PB push_back
#define EB emplace_back
#define MP make_pair
#define FI first
#define SE second
#define PQ priority_queue

#define  ALL(v)  v.begin(),  v.end()
#define RALL(v) v.rbegin(), v.rend()
#define  FOR(it, v) for(auto it =  v.begin(); it !=  v.end(); ++it)
#define RFOR(it, v) for(auto it = v.rbegin(); it != v.rend(); ++it)

template<typename T> bool   setmin(T & a, T b) { if(b <  a) { a = b; return true; } else { return false; } }
template<typename T> bool   setmax(T & a, T b) { if(b >  a) { a = b; return true; } else { return false; } }
template<typename T> bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } }
template<typename T> bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } }
template<typename T> T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); }
template<typename T> T lcm(T a, T b) { return a / gcd(a, b) * b; }

// ---- ----

LL MOD;
LL mod(LL x, LL m = MOD) { return (x % m + m) % m; }
pair<LL, LL> ex_gcd(LL a, LL b) {
	if(b == 0) { return MP(1, 0); }
	auto p = ex_gcd(b, a % b);
	return MP(p.SE, p.FI - (a / b) * p.SE);
}
LL inv(LL x, LL m = MOD) {
	assert(gcd(x, m) == 1);
	auto p = ex_gcd(x, m);
	return mod(p.FI, m);
}
LL promod(LL x, LL y, LL m = MOD) { return mod((x % m) * (y % m), m); }
LL divmod(LL x, LL y, LL m = MOD) { return promod(x, inv(y, m), m); }

// ----

struct CombMod {
	LL lim = 0, mod;
	LL * fact; // fact[i]: i の階乗
	LL * finv; // finv[i]: i の階乗の逆元
	
	CombMod() { }
	CombMod(LL lim, LL mod = MOD) { init(lim, mod); }
	void init(LL arg_lim, LL arg_mod = MOD) {
		lim = arg_lim;
		mod = arg_mod;
		fact = new LL[lim + 1];
		finv = new LL[lim + 1];
		fact[0] = 1;
		inc1(i, lim) { fact[i] = promod(fact[i - 1], i, mod); }
		finv[lim] = inv(fact[lim], mod);
		dec(i, lim) { finv[i] = promod(finv[i + 1], i + 1, mod); }
	}
	LL P(LL a, LL b) {
		assert(inII(a, 0, lim) && inII(b, 0, lim));
		return (a < b ? 0 : promod(fact[a], finv[a - b], mod));
	}
	LL C(LL a, LL b) {
		assert(inII(a, 0, lim) && inII(b, 0, lim));
		return (a < b ? 0 : promod(P(a, b), finv[b], mod));
	}
	LL H(LL a, LL b) {
		assert(inII(a, 0, lim) && inII(b, 0, lim) && inII(a + b - 1, -1, lim));
		return (a == 0 ? (b == 0) : C(a + b - 1, b));
	}
};

// ----

int main() {
	MOD = 1e9 + 7;
	CombMod cm(2000000);
	
	int t, n, k;
	char c;
	scanf("%d\n", &t);
	inc(i, t) {
		scanf("%c(%d,%d)\n", &c, &n, &k);
		
		LL ans;
		if(c == 'P') { ans = cm.P(n, k); }
		if(c == 'C') { ans = cm.C(n, k); }
		if(c == 'H') { ans = cm.H(n, k); }
		
		cout << ans << "\n";
	}
	
	return 0;
}
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