QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#335706#6740. Functionucup-team1198TL 144ms5236kbC++141.4kb2024-02-23 20:05:492024-02-23 20:05:49

Judging History

你现在查看的是最新测评结果

  • [2024-02-23 20:05:49]
  • 评测
  • 测评结果:TL
  • 用时:144ms
  • 内存:5236kb
  • [2024-02-23 20:05:49]
  • 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 = 200000;

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: 4ms
memory: 5188kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 4ms
memory: 5236kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 3ms
memory: 5232kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 4ms
memory: 5196kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

score: 0
Accepted
time: 0ms
memory: 5236kb

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 4ms
memory: 5168kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 3ms
memory: 5112kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 4ms
memory: 5132kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 6ms
memory: 5176kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 144ms
memory: 5196kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: -100
Time Limit Exceeded

input:

1000000000

output:


result: