結果

問題 No.117 組み合わせの数
ユーザー maimai
提出日時 2018-01-21 20:00:44
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 6,513 bytes
コンパイル時間 3,389 ms
コンパイル使用メモリ 215,788 KB
実行使用メモリ 34,688 KB
最終ジャッジ日時 2024-06-07 15:32:57
合計ジャッジ時間 4,020 ms
ジャッジサーバーID
(参考情報)
judge5 / judge2
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 WA -
権限があれば一括ダウンロードができます

ソースコード

diff #

#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 n < k ? 0 : (muls[n] * divs[(n - k)]) % MD;
}

inline ll my_nCk(ll n, ll k) {
    assert(n < HIGH && k < HIGH);
    return n < k ? 0 : (((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 << my_nCk(n, k) << '\n';
        }
        else {
            printer << my_nPk(n, k) << '\n';
        }
    }

    return 0;
}
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