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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#164875#6740. Functionmendicillin2#AC ✓327ms4008kbC++171.6kb2023-09-05 14:21:062023-09-05 14:21:06

Judging History

你现在查看的是最新测评结果

  • [2023-09-05 14:21:06]
  • 评测
  • 测评结果:AC
  • 用时:327ms
  • 内存:4008kb
  • [2023-09-05 14:21:06]
  • 提交

answer

#pragma GCC optimize ("Ofast")
#include <bits/stdc++.h>
using namespace std;

template <class T> int sz(T&& a) { return int(size(forward<T>(a))); }

template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;

using ll = int64_t;
using vi = vc<int>;

mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());

template <class F>
struct ycr {
	F f;
	template <class T> explicit ycr(T&& f_) : f(forward<T>(f_)) {}

	template <class... Args> decltype(auto) operator()(Args&&... args) {
		return f(ref(*this), forward<Args>(args)...);
	}
};
template <class F> decltype(auto) yc(F&& f) {
	return ycr<decay_t<F>>(forward<F>(f));
}

int main() {
	ios_base::sync_with_stdio(false), cin.tie(nullptr);

	int N; cin >> N;
	const int n2 = int(sqrt(N));
	vector<int> vs;

	{
		int a = N;
		while (a) {
			vs.push_back(a);
			a = N / (N/a+1);
		}
	}

	const int s = int(vs.size());

	auto get_idx = [&](int a) -> int {
		return int(a <= n2 ? s-a : N/a-1);
	};
	assert(vs[s-1] == 1);

	const int M = 20210926;
	const int MOD = 998244353;
	const ll LMOD = ll(MOD) << 32;
	vector<int> f(s);
	for (int i = s-1; i >= 0; i--) {
		int a = vs[i];
		int n = N/a;
		ll v = 1;
		for (int k = 2; k <= M; ) {
			const int cur = n*k;
			if (cur > N) break;
			const int which = N / cur;
			// N / (N / cur)
			const int nxt = N / which;
			const int j = get_idx(which);
			const int nxt_k = min(M, nxt / n);
			v += ll(f[j]) * (nxt_k - k + 1);
			if (v >= LMOD) v -= LMOD;
			k = nxt_k+1;
		}
		f[i] = int(v % MOD);
	}
	cout << f[0] << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3632kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 1ms
memory: 3876kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 1ms
memory: 3660kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 8ms
memory: 3936kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 55ms
memory: 3836kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: 0
Accepted
time: 323ms
memory: 4008kb

input:

1000000000

output:

373787809

result:

ok 1 number(s): "373787809"

Test #12:

score: 0
Accepted
time: 321ms
memory: 3888kb

input:

999999999

output:

997616263

result:

ok 1 number(s): "997616263"

Test #13:

score: 0
Accepted
time: 327ms
memory: 3844kb

input:

999999990

output:

997615701

result:

ok 1 number(s): "997615701"

Test #14:

score: 0
Accepted
time: 323ms
memory: 3860kb

input:

999999900

output:

993928691

result:

ok 1 number(s): "993928691"

Test #15:

score: 0
Accepted
time: 327ms
memory: 3908kb

input:

999999000

output:

754532207

result:

ok 1 number(s): "754532207"

Test #16:

score: 0
Accepted
time: 327ms
memory: 3828kb

input:

999990000

output:

996592686

result:

ok 1 number(s): "996592686"

Test #17:

score: 0
Accepted
time: 323ms
memory: 3812kb

input:

999900000

output:

311678722

result:

ok 1 number(s): "311678722"

Test #18:

score: 0
Accepted
time: 323ms
memory: 3824kb

input:

999000000

output:

60462624

result:

ok 1 number(s): "60462624"

Test #19:

score: 0
Accepted
time: 324ms
memory: 3812kb

input:

990000000

output:

444576800

result:

ok 1 number(s): "444576800"

Test #20:

score: 0
Accepted
time: 302ms
memory: 3892kb

input:

900000000

output:

95615129

result:

ok 1 number(s): "95615129"

Test #21:

score: 0
Accepted
time: 3ms
memory: 3724kb

input:

1361956

output:

813433539

result:

ok 1 number(s): "813433539"

Test #22:

score: 0
Accepted
time: 9ms
memory: 3748kb

input:

7579013

output:

677659797

result:

ok 1 number(s): "677659797"

Test #23:

score: 0
Accepted
time: 6ms
memory: 3732kb

input:

8145517

output:

801509527

result:

ok 1 number(s): "801509527"

Test #24:

score: 0
Accepted
time: 8ms
memory: 3696kb

input:

6140463

output:

869023935

result:

ok 1 number(s): "869023935"

Test #25:

score: 0
Accepted
time: 5ms
memory: 3684kb

input:

3515281

output:

989091505

result:

ok 1 number(s): "989091505"

Test #26:

score: 0
Accepted
time: 9ms
memory: 3692kb

input:

6969586

output:

539840131

result:

ok 1 number(s): "539840131"