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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#335696#6740. Functionucup-team1198AC ✓352ms42752kbC++201.4kb2024-02-23 19:52:332024-02-23 19:52:33

Judging History

你现在查看的是最新测评结果

  • [2024-02-23 19:52:33]
  • 评测
  • 测评结果:AC
  • 用时:352ms
  • 内存:42752kb
  • [2024-02-23 19:52:33]
  • 提交

answer

#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>

using namespace std;

const int MOD = 998244353;

int add(int a, int b) {
	return a + b >= MOD ? a + b - MOD : a + b;
}

int sub(int a, int b) {
	return a >= b ? a - b :  a + MOD - b;
}

int mul(int a, int b) {
	return (1ll * a * b) % MOD;
}

int pw(int x, int n) {
	int res = 1;
	while (n) {
		if (n % 2 == 0) {
			x = mul(x, x);
			n /= 2;
		} else {
			res = mul(res, x);
			--n;
		}
	}
	return res;
}

const int K = 20210926;
const int MAXN = 5000000;

int vals[MAXN];
int pref_sums[MAXN];

int get_ans(int n) {
	if (n < MAXN)
		return pref_sums[n];
	int ans = 1;
	int left = 2;
	while (left <= n && left <= K) {
		int right = min(K + 1, (n / (n / left)) + 1);
		ans = add(ans, mul(get_ans(n / left), (right - left) % MOD));
		left = right;
	}
	return ans;
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	
	vals[1] = 1;
	for (int i = 1; i < MAXN; ++i) {
		pref_sums[i] = add(pref_sums[i - 1], vals[i]);
		for (int j = 2 * i; j < MAXN; j += i)
			vals[j] = add(vals[j], vals[i]);
	}

	int n;
	cin >> n;
	cout << get_ans(n) << '\n';
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 197ms
memory: 42692kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 195ms
memory: 42640kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 203ms
memory: 42644kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 198ms
memory: 42736kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

score: 0
Accepted
time: 195ms
memory: 42696kb

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 197ms
memory: 42648kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 204ms
memory: 42652kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 217ms
memory: 42692kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 207ms
memory: 42668kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 203ms
memory: 42692kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: 0
Accepted
time: 339ms
memory: 42752kb

input:

1000000000

output:

373787809

result:

ok 1 number(s): "373787809"

Test #12:

score: 0
Accepted
time: 341ms
memory: 42684kb

input:

999999999

output:

997616263

result:

ok 1 number(s): "997616263"

Test #13:

score: 0
Accepted
time: 352ms
memory: 42700kb

input:

999999990

output:

997615701

result:

ok 1 number(s): "997615701"

Test #14:

score: 0
Accepted
time: 341ms
memory: 42696kb

input:

999999900

output:

993928691

result:

ok 1 number(s): "993928691"

Test #15:

score: 0
Accepted
time: 346ms
memory: 42636kb

input:

999999000

output:

754532207

result:

ok 1 number(s): "754532207"

Test #16:

score: 0
Accepted
time: 350ms
memory: 42632kb

input:

999990000

output:

996592686

result:

ok 1 number(s): "996592686"

Test #17:

score: 0
Accepted
time: 351ms
memory: 42612kb

input:

999900000

output:

311678722

result:

ok 1 number(s): "311678722"

Test #18:

score: 0
Accepted
time: 336ms
memory: 42752kb

input:

999000000

output:

60462624

result:

ok 1 number(s): "60462624"

Test #19:

score: 0
Accepted
time: 332ms
memory: 42644kb

input:

990000000

output:

444576800

result:

ok 1 number(s): "444576800"

Test #20:

score: 0
Accepted
time: 320ms
memory: 42660kb

input:

900000000

output:

95615129

result:

ok 1 number(s): "95615129"

Test #21:

score: 0
Accepted
time: 200ms
memory: 42692kb

input:

1361956

output:

813433539

result:

ok 1 number(s): "813433539"

Test #22:

score: 0
Accepted
time: 194ms
memory: 42680kb

input:

7579013

output:

677659797

result:

ok 1 number(s): "677659797"

Test #23:

score: 0
Accepted
time: 199ms
memory: 42608kb

input:

8145517

output:

801509527

result:

ok 1 number(s): "801509527"

Test #24:

score: 0
Accepted
time: 212ms
memory: 42632kb

input:

6140463

output:

869023935

result:

ok 1 number(s): "869023935"

Test #25:

score: 0
Accepted
time: 201ms
memory: 42688kb

input:

3515281

output:

989091505

result:

ok 1 number(s): "989091505"

Test #26:

score: 0
Accepted
time: 196ms
memory: 42632kb

input:

6969586

output:

539840131

result:

ok 1 number(s): "539840131"