結果

問題 No.890 移調の限られた旋法
コンテスト
ユーザー firiexp
提出日時 2019-09-20 23:01:16
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,641 bytes
コンパイル時間 826 ms
コンパイル使用メモリ 90,748 KB
最終ジャッジ日時 2024-11-14 21:40:02
合計ジャッジ時間 1,358 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge5
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ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
main.cpp:17:39: error: '::numeric_limits' has not been declared
   17 | template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
      |                                       ^~~~~~~~~~~~~~
main.cpp:17:55: error: expected primary-expression before '>' token
   17 | template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
      |                                                       ^
main.cpp:17:61: error: no matching function for call to 'max()'
   17 | template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
      |                                                        ~~~~~^~
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/string:50,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/locale_classes.h:40,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/ios_base.h:41,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/ios:42,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/ostream:38,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/iostream:39,
                 from main.cpp:1:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:254:5: note: candidate: 'template<class _Tp> constexpr const _Tp& std::max(const _Tp&, const _Tp&)'
  254 |     max(const _Tp& __a, const _Tp& __b)
      |     ^~~
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:254:5: note:   template argument deduction/substitution failed:
main.cpp:17:61: note:   candidate expects 2 arguments, 0 provided
   17 | template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
      |                                                        ~~~~~^~
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:300:5: note: candidate: 'templat

ソースコード

diff # 

#include <iostream>
#include <algorithm>
#include <iomanip>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
#include <cmath>

static const int MOD = 1000000007;
using ll = long long;
using u32 = uint32_t;
using namespace std;

template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;

template <ll M = MOD> struct modint {
    ll val;
    modint(const ll x = 0) : val(x) {
        val = x;
        while(val < 0) val += M;
        while(val > M) val -= M;
    }

    modint operator+(const modint a) const { return modint(*this) += a; }
    modint operator-(const modint a) const { return modint(*this) -= a; }
    modint operator*(const modint a) const { return modint(*this) *= a; }
    modint operator/(const modint a) const { return modint(*this) /= a; }
    modint operator-() const { return modint(M-val); }
    modint inv() const {
        ll u = 1, v = 0, s = 0, t = 1, m = M, x = val;
        while (x) {ll q = m/x; swap(s -= q*u, u); swap(t -= q*v, v); swap(m -= q*x, x); }
        if(s < 0) s += M;
        return modint(s);
    }
    modint pow(ll n) const {
        ll u = 1, xx = val;
        while (n > 0){ if (n&1) u = u * xx % M; xx = xx * xx % M; n >>= 1; }
        return modint(u);
    }
    modint& operator+=(const modint a){ val += a.val; if(val >= M) val -= M; return *this; }
    modint& operator-=(const modint a){ val -= a.val; if(val < 0) val += M; return *this; }
    modint& operator*=(const modint a){ val = val * a.val % M; return *this; }
    modint& operator/=(const modint a){ val = val * a.inv().val % M; return *this;}

    modint& operator=(const int& x){
        val = x;
        while(val < 0) val += M;
        while(val > M) val -= M;
        return *this;
    }
};


class Factorial {
    using mint = modint<MOD>;
    vector<mint> facts, factinv;

public:
    explicit Factorial(int n) : facts(static_cast<u32>(n+1)), factinv(static_cast<u32>(n+1)) {
        facts[0] = 1;
        for (int i = 1; i < n+1; ++i) facts[i] = facts[i-1]*mint(i);
        factinv[n] = facts[n].inv();
        for (int i = n-1; i >= 0; --i) factinv[i] = factinv[i+1] * mint(i+1);
    }

    mint fact(int k) const {
        if(k >= 0) return facts[k]; else return factinv[-k];
    }

    mint operator[](const int &k) const {
        if(k >= 0) return facts[k]; else return factinv[-k];
    }

    mint C(int p, int q) const {
        if(q < 0 || p < q) return 0;
        return facts[p] * factinv[q] * factinv[p-q];
    }

    mint P(int p, int q) const {
        if(q < 0 || p < q) return 0;
        return facts[p] * factinv[p-q];
    }

    mint H(int p, int q) const {
        if(p < 0 || q < 0) return 0;
        return q == 0 ? 1 : C(p+q-1, q);
    }
};


using mint = modint<MOD>;

template<class T>
vector<T> divisor(T n){
    vector<T> ret;
    for(T i = 1; i * i <= n; i++) {
        if(n % i == 0) {
            ret.push_back(i);
            if(i * i != n) ret.push_back(n / i);
        }
    }
    sort(begin(ret), end(ret));
    return(ret);
}

int main() {
    int n, k;
    cin >> n >> k;
    if(k == 1) cout << 0 << "\n";
    else {
        Factorial f(n);
        auto v = divisor(n);
        int m = v.size();
        vector<mint> dp(m);
        mint ans = 0;
        for (int i = 0; i < m; ++i) {
            if(n != v[i] && n%v[i] == 0 && k % (n/v[i]) == 0){
                dp[i] = f.C(v[i], k/(n/v[i]));
                for (int j = 0; j < i; ++j) {
                    if(v[i]%v[j] == 0) dp[i] -= dp[j];
                }
            }
            ans += dp[i];
        }
        cout << ans.val << "\n";
    }
    return 0;
}
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