結果

問題 No.1260 たくさんの多項式
ユーザー 👑 tute7627tute7627
提出日時 2020-10-16 22:25:05
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 104 ms / 2,000 ms
コード長 4,887 bytes
コンパイル時間 2,260 ms
コンパイル使用メモリ 205,216 KB
実行使用メモリ 4,504 KB
最終ジャッジ日時 2023-09-28 03:46:56
合計ジャッジ時間 6,968 ms
ジャッジサーバーID
(参考情報)
judge14 / judge15
このコードへのチャレンジ
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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 AC 2 ms
4,380 KB
testcase_01 AC 2 ms
4,384 KB
testcase_02 AC 3 ms
4,384 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 2 ms
4,376 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 2 ms
4,376 KB
testcase_09 AC 2 ms
4,380 KB
testcase_10 AC 3 ms
4,376 KB
testcase_11 AC 3 ms
4,380 KB
testcase_12 AC 2 ms
4,384 KB
testcase_13 AC 2 ms
4,376 KB
testcase_14 AC 2 ms
4,380 KB
testcase_15 AC 3 ms
4,376 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 2 ms
4,384 KB
testcase_18 AC 2 ms
4,376 KB
testcase_19 AC 2 ms
4,384 KB
testcase_20 AC 103 ms
4,380 KB
testcase_21 AC 32 ms
4,380 KB
testcase_22 AC 94 ms
4,384 KB
testcase_23 AC 75 ms
4,384 KB
testcase_24 AC 76 ms
4,380 KB
testcase_25 AC 61 ms
4,376 KB
testcase_26 AC 72 ms
4,380 KB
testcase_27 AC 58 ms
4,376 KB
testcase_28 AC 103 ms
4,380 KB
testcase_29 AC 76 ms
4,380 KB
testcase_30 AC 49 ms
4,376 KB
testcase_31 AC 75 ms
4,380 KB
testcase_32 AC 76 ms
4,384 KB
testcase_33 AC 65 ms
4,380 KB
testcase_34 AC 102 ms
4,380 KB
testcase_35 AC 43 ms
4,376 KB
testcase_36 AC 40 ms
4,380 KB
testcase_37 AC 77 ms
4,380 KB
testcase_38 AC 81 ms
4,380 KB
testcase_39 AC 99 ms
4,376 KB
testcase_40 AC 77 ms
4,380 KB
testcase_41 AC 95 ms
4,384 KB
testcase_42 AC 69 ms
4,380 KB
testcase_43 AC 98 ms
4,380 KB
testcase_44 AC 62 ms
4,380 KB
testcase_45 AC 58 ms
4,504 KB
testcase_46 AC 55 ms
4,380 KB
testcase_47 AC 70 ms
4,380 KB
testcase_48 AC 15 ms
4,376 KB
testcase_49 AC 53 ms
4,380 KB
testcase_50 AC 27 ms
4,376 KB
testcase_51 AC 96 ms
4,376 KB
testcase_52 AC 33 ms
4,380 KB
testcase_53 AC 46 ms
4,376 KB
testcase_54 AC 101 ms
4,380 KB
testcase_55 AC 103 ms
4,380 KB
testcase_56 AC 49 ms
4,384 KB
testcase_57 AC 68 ms
4,380 KB
testcase_58 AC 44 ms
4,376 KB
testcase_59 AC 75 ms
4,380 KB
testcase_60 AC 104 ms
4,380 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());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
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; }
};
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;
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  ll n;cin>>n;
  modint ret=0;
  ll l=0;
  while(l*l<=n)l++;
  ret+=modint(n-l+1)*n;
  while(l<=n){
    ll r=n/(n/l)+1;
    //cout<<ret spa l spa r spa (modint)r*(r-1)/2-modint(l-1)*(l)/2<<endl;
    ret+=(n/l)*((r-l)-(modint)r*(r-1)/2+modint(l-1)*(l)/2);
    l=r;
  }
  //cout<<ret<<endl;
  for(ll i=2;i*i<=n;i++){
    ll now=n;
    while(now){
      ret+=now%i;
      now/=i;
    }
  }
  cout<<ret<<endl;
  return 0;
}
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