結果

問題 No.1259 スイッチ
ユーザー 👑 tute7627tute7627
提出日時 2020-10-16 22:03:56
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 37 ms / 2,000 ms
コード長 5,627 bytes
コンパイル時間 2,167 ms
コンパイル使用メモリ 207,056 KB
実行使用メモリ 18,708 KB
最終ジャッジ日時 2023-09-28 03:09:37
合計ジャッジ時間 5,389 ms
ジャッジサーバーID
(参考情報)
judge12 / judge11
このコードへのチャレンジ(β)

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 AC 18 ms
14,560 KB
testcase_01 AC 17 ms
14,608 KB
testcase_02 AC 19 ms
14,900 KB
testcase_03 AC 18 ms
14,708 KB
testcase_04 AC 18 ms
14,768 KB
testcase_05 AC 17 ms
14,588 KB
testcase_06 AC 17 ms
14,580 KB
testcase_07 AC 18 ms
14,760 KB
testcase_08 AC 19 ms
14,568 KB
testcase_09 AC 18 ms
14,600 KB
testcase_10 AC 28 ms
17,136 KB
testcase_11 AC 35 ms
18,360 KB
testcase_12 AC 29 ms
17,080 KB
testcase_13 AC 23 ms
16,028 KB
testcase_14 AC 27 ms
16,628 KB
testcase_15 AC 23 ms
16,204 KB
testcase_16 AC 30 ms
17,772 KB
testcase_17 AC 26 ms
16,620 KB
testcase_18 AC 33 ms
18,116 KB
testcase_19 AC 32 ms
18,108 KB
testcase_20 AC 28 ms
17,116 KB
testcase_21 AC 35 ms
18,416 KB
testcase_22 AC 23 ms
16,084 KB
testcase_23 AC 32 ms
18,124 KB
testcase_24 AC 29 ms
17,408 KB
testcase_25 AC 27 ms
17,456 KB
testcase_26 AC 33 ms
18,652 KB
testcase_27 AC 32 ms
18,088 KB
testcase_28 AC 29 ms
17,044 KB
testcase_29 AC 32 ms
17,920 KB
testcase_30 AC 27 ms
16,604 KB
testcase_31 AC 30 ms
17,612 KB
testcase_32 AC 23 ms
16,044 KB
testcase_33 AC 32 ms
18,708 KB
testcase_34 AC 26 ms
16,868 KB
testcase_35 AC 30 ms
17,572 KB
testcase_36 AC 29 ms
17,352 KB
testcase_37 AC 29 ms
17,400 KB
testcase_38 AC 28 ms
17,016 KB
testcase_39 AC 33 ms
18,388 KB
testcase_40 AC 32 ms
18,352 KB
testcase_41 AC 31 ms
17,876 KB
testcase_42 AC 33 ms
18,328 KB
testcase_43 AC 28 ms
16,944 KB
testcase_44 AC 32 ms
18,304 KB
testcase_45 AC 35 ms
18,596 KB
testcase_46 AC 27 ms
16,788 KB
testcase_47 AC 36 ms
18,588 KB
testcase_48 AC 27 ms
16,472 KB
testcase_49 AC 37 ms
18,376 KB
testcase_50 AC 29 ms
17,024 KB
testcase_51 AC 23 ms
16,012 KB
testcase_52 AC 32 ms
18,260 KB
testcase_53 AC 25 ms
16,332 KB
testcase_54 AC 33 ms
18,300 KB
testcase_55 AC 23 ms
15,800 KB
testcase_56 AC 27 ms
16,476 KB
testcase_57 AC 33 ms
18,056 KB
testcase_58 AC 30 ms
17,120 KB
testcase_59 AC 30 ms
17,732 KB
testcase_60 AC 37 ms
18,660 KB
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 #

//#define _GLIBCXX_DEBUG

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

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T>void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout spa v[i][j];cout<<endl;}};
void debug(vector<string>&v,ll h,ll w){for(ll i=0;i<h;i++){for(ll j=0;j<w;j++)cout<<v[i][j];cout<<endl;}};
template<typename T>void debug(vector<T>&v,ll n){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout spa v[i];cout<<endl;};
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
template< int mod >
struct ModInt {
  int x;

  ModInt() : x(0) {}

  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

  ModInt &operator+=(const ModInt &p) {
    if((x += p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator-=(const ModInt &p) {
    if((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator*=(const ModInt &p) {
    x = (int) (1LL * x * p.x % mod);
    return *this;
  }

  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }

  ModInt operator-() const { return ModInt(-x); }

  friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) += rhs;
  }
  friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) -= rhs;
  }
  friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) *= rhs;
  }
  friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) {
        return ModInt(lhs) /= rhs;
  }

  bool operator==(const ModInt &p) const { return x == p.x; }

  bool operator!=(const ModInt &p) const { return x != p.x; }

  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }

  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while(n > 0) {
      if(n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }
  friend ostream &operator<<(ostream &os, const ModInt &p) {
    return os << p.x;
  }

  friend istream &operator>>(istream &is, ModInt &a) {
    int64_t t;
    is >> t;
    a = ModInt< mod >(t);
    return (is);
  }

  static int get_mod() { return mod; }
};

template< typename T >
struct Combination {
  vector< T > _fact, _rfact, _inv;

  Combination(ll sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) {
    _fact[0] = _rfact[sz] = _inv[0] = 1;
    for(ll i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i;
    _rfact[sz] /= _fact[sz];
    for(ll i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1);
    for(ll i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1];
  }

  inline T fact(ll k) const { return _fact[k]; }

  inline T rfact(ll k) const { return _rfact[k]; }

  inline T inv(ll k) const { return _inv[k]; }

  T P(ll n, ll r) const {
    if(r < 0 || n < r) return 0;
    return fact(n) * rfact(n - r);
  }

  T C(ll p, ll q) const {
    if(q < 0 || p < q) return 0;
    return fact(p) * rfact(q) * rfact(p - q);
  }
  
  T RC(ll p, ll q) const {
    if(q < 0 || p < q) return 0;
    return rfact(p) * fact(q) * fact(p - q);
  }

  T H(ll n, ll r) const {
    if(n < 0 || r < 0) return (0);
    return r == 0 ? 1 : C(n + r - 1, r);
  }
};
using modint = ModInt< MOD1 >;modint pow(ll n, ll x){return modint(n).pow(x);}modint pow(modint n, ll x){return n.pow(x);}
//using modint=ld;
using Comb=Combination<modint>;


int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  Comb comb(1000005);
  ll n,k,m;cin>>n>>k>>m;
  modint ret=0;
  vector<modint>v(n+1,1);
  rep(i,0,n)v[i+1]=v[i]*n;
  rep(i,1,n+1){
    if(k%i!=0)continue;
    ret+=comb.P(n-1,i-1)*v[n-i];
  }
  if(m==1)cout<<ret<<endl;
  else cout<<(v[n]-ret)/(n-1)<<endl;
  return 0;
}
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