結果

問題 No.1276 3枚のカード
ユーザー 👑 emthrmemthrm
提出日時 2020-11-01 23:54:25
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,637 ms / 2,000 ms
コード長 4,740 bytes
コンパイル時間 1,843 ms
コンパイル使用メモリ 200,304 KB
実行使用メモリ 4,380 KB
最終ジャッジ日時 2023-09-29 11:38:38
合計ジャッジ時間 50,758 ms
ジャッジサーバーID
(参考情報)
judge13 / judge12
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 1 ms
4,376 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 2 ms
4,376 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 1 ms
4,376 KB
testcase_05 AC 1 ms
4,380 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 1 ms
4,380 KB
testcase_09 AC 1 ms
4,376 KB
testcase_10 AC 1,379 ms
4,376 KB
testcase_11 AC 644 ms
4,376 KB
testcase_12 AC 822 ms
4,376 KB
testcase_13 AC 862 ms
4,380 KB
testcase_14 AC 73 ms
4,376 KB
testcase_15 AC 693 ms
4,376 KB
testcase_16 AC 1,506 ms
4,380 KB
testcase_17 AC 803 ms
4,376 KB
testcase_18 AC 604 ms
4,376 KB
testcase_19 AC 991 ms
4,380 KB
testcase_20 AC 573 ms
4,380 KB
testcase_21 AC 598 ms
4,376 KB
testcase_22 AC 1,529 ms
4,380 KB
testcase_23 AC 63 ms
4,376 KB
testcase_24 AC 937 ms
4,380 KB
testcase_25 AC 307 ms
4,380 KB
testcase_26 AC 1,163 ms
4,380 KB
testcase_27 AC 1,338 ms
4,380 KB
testcase_28 AC 1,289 ms
4,380 KB
testcase_29 AC 731 ms
4,376 KB
testcase_30 AC 136 ms
4,380 KB
testcase_31 AC 59 ms
4,380 KB
testcase_32 AC 329 ms
4,376 KB
testcase_33 AC 18 ms
4,376 KB
testcase_34 AC 225 ms
4,376 KB
testcase_35 AC 212 ms
4,376 KB
testcase_36 AC 12 ms
4,380 KB
testcase_37 AC 197 ms
4,376 KB
testcase_38 AC 129 ms
4,376 KB
testcase_39 AC 347 ms
4,380 KB
testcase_40 AC 1,463 ms
4,376 KB
testcase_41 AC 1,202 ms
4,376 KB
testcase_42 AC 1,303 ms
4,376 KB
testcase_43 AC 1,133 ms
4,376 KB
testcase_44 AC 1,622 ms
4,380 KB
testcase_45 AC 1,468 ms
4,376 KB
testcase_46 AC 1,469 ms
4,376 KB
testcase_47 AC 1,202 ms
4,380 KB
testcase_48 AC 1,155 ms
4,376 KB
testcase_49 AC 1,312 ms
4,380 KB
testcase_50 AC 1,450 ms
4,380 KB
testcase_51 AC 1,243 ms
4,380 KB
testcase_52 AC 1,061 ms
4,376 KB
testcase_53 AC 1,254 ms
4,380 KB
testcase_54 AC 1,447 ms
4,376 KB
testcase_55 AC 1,108 ms
4,376 KB
testcase_56 AC 1,074 ms
4,380 KB
testcase_57 AC 1,384 ms
4,380 KB
testcase_58 AC 1,439 ms
4,376 KB
testcase_59 AC 1,256 ms
4,376 KB
testcase_60 AC 1,637 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 _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr ll LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(20);
  }
} iosetup;

template <int MOD>
struct MInt {
  unsigned val;
  MInt(): val(0) {}
  MInt(long long x) : val(x >= 0 ? x % MOD : x % MOD + MOD) {}
  static int get_mod() { return MOD; }
  static void set_mod(int divisor) { assert(divisor == MOD); }
  MInt pow(long long exponent) const {
    MInt tmp = *this, res = 1;
    while (exponent > 0) {
      if (exponent & 1) res *= tmp;
      tmp *= tmp;
      exponent >>= 1;
    }
    return res;
  }
  MInt &operator+=(const MInt &x) { if((val += x.val) >= MOD) val -= MOD; return *this; }
  MInt &operator-=(const MInt &x) { if((val += MOD - x.val) >= MOD) val -= MOD; return *this; }
  MInt &operator*=(const MInt &x) { val = static_cast<unsigned long long>(val) * x.val % MOD; return *this; }
  MInt &operator/=(const MInt &x) {
    // assert(std::__gcd(static_cast<int>(x.val), MOD) == 1);
    unsigned a = x.val, b = MOD; int u = 1, v = 0;
    while (b) {
      unsigned tmp = a / b;
      std::swap(a -= tmp * b, b);
      std::swap(u -= tmp * v, v);
    }
    return *this *= u;
  }
  bool operator==(const MInt &x) const { return val == x.val; }
  bool operator!=(const MInt &x) const { return val != x.val; }
  bool operator<(const MInt &x) const { return val < x.val; }
  bool operator<=(const MInt &x) const { return val <= x.val; }
  bool operator>(const MInt &x) const { return val > x.val; }
  bool operator>=(const MInt &x) const { return val >= x.val; }
  MInt &operator++() { if (++val == MOD) val = 0; return *this; }
  MInt operator++(int) { MInt res = *this; ++*this; return res; }
  MInt &operator--() { val = (val == 0 ? MOD : val) - 1; return *this; }
  MInt operator--(int) { MInt res = *this; --*this; return res; }
  MInt operator+() const { return *this; }
  MInt operator-() const { return MInt(val ? MOD - val : 0); }
  MInt operator+(const MInt &x) const { return MInt(*this) += x; }
  MInt operator-(const MInt &x) const { return MInt(*this) -= x; }
  MInt operator*(const MInt &x) const { return MInt(*this) *= x; }
  MInt operator/(const MInt &x) const { return MInt(*this) /= x; }
  friend std::ostream &operator<<(std::ostream &os, const MInt &x) { return os << x.val; }
  friend std::istream &operator>>(std::istream &is, MInt &x) { long long val; is >> val; x = MInt(val); return is; }
};
namespace std { template <int MOD> MInt<MOD> abs(const MInt<MOD> &x) { return x; } }
template <int MOD>
struct Combinatorics {
  using ModInt = MInt<MOD>;
  int val;  // "val!" and "mod" must be disjoint.
  std::vector<ModInt> fact, fact_inv, inv;
  Combinatorics(int val = 10000000) : val(val), fact(val + 1), fact_inv(val + 1), inv(val + 1) {
    fact[0] = 1;
    for (int i = 1; i <= val; ++i) fact[i] = fact[i - 1] * i;
    fact_inv[val] = ModInt(1) / fact[val];
    for (int i = val; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i;
    for (int i = 1; i <= val; ++i) inv[i] = fact[i - 1] * fact_inv[i];
  }
  ModInt nCk(int n, int k) const {
    if (n < 0 || n < k || k < 0) return 0;
    assert(n <= val && k <= val);
    return fact[n] * fact_inv[k] * fact_inv[n - k];
  }
  ModInt nPk(int n, int k) const {
    if (n < 0 || n < k || k < 0) return 0;
    assert(n <= val);
    return fact[n] * fact_inv[n - k];
  }
  ModInt nHk(int n, int k) const {
    if (n < 0 || k < 0) return 0;
    return k == 0 ? 1 : nCk(n + k - 1, k);
  }
};
using ModInt = MInt<MOD>;

ll solve(ll k) {
  ll res = 0;
  for (ll i = 1; i <= k;) {
    ll fr = k / i, nx = k / fr;
    res += (nx - i + 1) * (fr - 1);
    i = nx + 1;
  }
  return res;
}

int main() {
  ll n; cin >> n;
  ModInt ans = 0;
  for (ll b = 1; b <= n;) {
    ll fr = n / b, nx = n / fr;
    assert(b <= nx);
    ans += ModInt(nx - b + 1) * (fr - 1) * (n - fr);
    b = nx + 1;
  }
  for (ll a = 1; a <= n;) {
    ll fr = n / a, nx = n / fr;
    ans -= ModInt(nx - a + 1) * (solve(fr) - (fr - 1));
    a = nx + 1;
  }
  cout << ans << '\n';
  return 0;
}
0