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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#149157#6740. FunctionUFRJAC ✓520ms5800kbC++202.8kb2023-08-24 02:55:382023-08-24 02:55:39

Judging History

你现在查看的是最新测评结果

  • [2023-08-24 02:55:39]
  • 评测
  • 测评结果:AC
  • 用时:520ms
  • 内存:5800kb
  • [2023-08-24 02:55:38]
  • 提交

answer

#include<bits/stdc++.h>

using lint = int64_t;
using namespace std;

int minv(int a, int m) {
	a %= m; assert(a);
	return a == 1 ? 1 : int(m - int64_t(minv(m, a)) * m / a);
}

template<unsigned M_> struct modnum {
	static constexpr unsigned M = M_;
	using ll = int64_t; using ull = uint64_t; unsigned x;
	modnum& norm(unsigned a) { x = a < M ? a : a - M; return *this; }
	constexpr modnum(ll a = 0U) : x(unsigned((a %= ll(M)) < 0 ? a + ll(M) : a)) {}
	explicit operator int() const { return x; }
	modnum& operator+=(const modnum& a) { return norm(x + a.x); }
	modnum& operator-=(const modnum& a) { return norm(x - a.x + M); }
	modnum& operator*=(const modnum& a) { x = unsigned(ull(x) * a.x % M); return *this; }
	modnum& operator/=(const modnum& a) { return (*this *= a.inv()); }
	modnum operator+(const modnum& a) const { return (modnum(*this) += a); }
	modnum operator-(const modnum& a) const { return (modnum(*this) -= a); }
	modnum operator*(const modnum& a) const { return (modnum(*this) *= a); }
	modnum operator/(const modnum& a) const { return (modnum(*this) /= a); }
	template<typename T> friend modnum operator+(T a, const modnum& b) { return (modnum(a) += b); }
	template<typename T> friend modnum operator-(T a, const modnum& b) { return (modnum(a) -= b); }
	template<typename T> friend modnum operator*(T a, const modnum& b) { return (modnum(a) *= b); }
	template<typename T> friend modnum operator/(T a, const modnum& b) { return (modnum(a) /= b); }
	modnum operator+() const { return *this; }
	modnum operator-() const { return modnum() - *this; }
	modnum pow(ll e) const {
		if (e < 0) return inv().pow(-e);
		modnum b = x, xe = 1U;
		for (; e; e >>= 1) { if (e & 1) xe *= b; b *= b; }
		return xe;
	}
	modnum inv() const { return minv(x, M); }
	friend modnum inv(const modnum& a) { return a.inv(); }
	explicit operator bool() const { return x; }
	friend bool operator==(const modnum& a, const modnum& b) { return a.x == b.x; }
	friend bool operator!=(const modnum& a, const modnum& b) { return a.x != b.x; }
	friend ostream &operator<<(ostream& os, const modnum& a) { return os << a.x; }
	friend istream &operator>>(istream& in, modnum& n) { ll v_; in >> v_; n = modnum(v_); return in; }
};

using lint = int64_t;

using mod = modnum<998244353>;

unordered_map<lint, mod> memo;

mod solve(lint n) {
  //cout << "N: " << n << endl;
  mod ans = 1;
  if(memo.count(n)) return memo[n];
  for(lint a = 2, b; a <= n; a = b + 1) {
    b = n / (n / a);
    if(b > 20210926) {
      lint cur = (20210926-a+1);
      return memo[n] = (ans) + (cur * solve(n/a));
    }
    lint cur = (b-a+1);
    ans += cur * solve(n/a);
  }
  return memo[n] = ans;
}

int main(void) {
  cin.tie(nullptr)->sync_with_stdio(false);

  lint n;
  cin >> n;
  cout << solve(n) << endl;

  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3448kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3448kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3516kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 1ms
memory: 3452kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3520kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 2ms
memory: 3544kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 4ms
memory: 3544kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 16ms
memory: 3752kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 91ms
memory: 4088kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: 0
Accepted
time: 504ms
memory: 5800kb

input:

1000000000

output:

373787809

result:

ok 1 number(s): "373787809"

Test #12:

score: 0
Accepted
time: 512ms
memory: 5752kb

input:

999999999

output:

997616263

result:

ok 1 number(s): "997616263"

Test #13:

score: 0
Accepted
time: 510ms
memory: 5704kb

input:

999999990

output:

997615701

result:

ok 1 number(s): "997615701"

Test #14:

score: 0
Accepted
time: 505ms
memory: 5736kb

input:

999999900

output:

993928691

result:

ok 1 number(s): "993928691"

Test #15:

score: 0
Accepted
time: 520ms
memory: 5796kb

input:

999999000

output:

754532207

result:

ok 1 number(s): "754532207"

Test #16:

score: 0
Accepted
time: 510ms
memory: 5764kb

input:

999990000

output:

996592686

result:

ok 1 number(s): "996592686"

Test #17:

score: 0
Accepted
time: 510ms
memory: 5692kb

input:

999900000

output:

311678722

result:

ok 1 number(s): "311678722"

Test #18:

score: 0
Accepted
time: 508ms
memory: 5728kb

input:

999000000

output:

60462624

result:

ok 1 number(s): "60462624"

Test #19:

score: 0
Accepted
time: 503ms
memory: 5692kb

input:

990000000

output:

444576800

result:

ok 1 number(s): "444576800"

Test #20:

score: 0
Accepted
time: 463ms
memory: 5688kb

input:

900000000

output:

95615129

result:

ok 1 number(s): "95615129"

Test #21:

score: 0
Accepted
time: 5ms
memory: 3580kb

input:

1361956

output:

813433539

result:

ok 1 number(s): "813433539"

Test #22:

score: 0
Accepted
time: 14ms
memory: 3764kb

input:

7579013

output:

677659797

result:

ok 1 number(s): "677659797"

Test #23:

score: 0
Accepted
time: 14ms
memory: 3752kb

input:

8145517

output:

801509527

result:

ok 1 number(s): "801509527"

Test #24:

score: 0
Accepted
time: 12ms
memory: 3652kb

input:

6140463

output:

869023935

result:

ok 1 number(s): "869023935"

Test #25:

score: 0
Accepted
time: 4ms
memory: 3724kb

input:

3515281

output:

989091505

result:

ok 1 number(s): "989091505"

Test #26:

score: 0
Accepted
time: 13ms
memory: 3720kb

input:

6969586

output:

539840131

result:

ok 1 number(s): "539840131"