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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#204870#6740. FunctionkiwiHM#AC ✓966ms4348kbC++14786b2023-10-07 14:13:252023-10-07 14:13:26

Judging History

你现在查看的是最新测评结果

  • [2023-10-07 14:13:26]
  • 评测
  • 测评结果:AC
  • 用时:966ms
  • 内存:4348kb
  • [2023-10-07 14:13:25]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

const int INF = 998244353;

int n;
int f[100005];
vector<int> vec;

int main(){
	scanf("%d", &n);
	for(int i = 1, j, k; i <= n; i = j + 1){
		k = n / i, j = n / k;
		vec.push_back(i);
	}
	for(int i = vec.size() - 1; i >= 0; --i){
		f[i] = 1;
		for(int j = 2; j <= 20210926 && vec[i] * j <= n; ){
			int pos = upper_bound(vec.begin(), vec.end(), vec[i] * j) - vec.begin() - 1;
			int l = vec[pos];
			int r;
			if(pos == vec.size() - 1) r = n;
			else r = vec[pos + 1] - 1;
			
			int k = min(20210926, r / vec[i]);
			
			// printf("i = %d (%d %d) j = %d k = %d\n", vec[i], l, r, j, k);
			
			f[i] = (f[i] + 1ll * (k - j + 1) * f[pos]) % INF;
			j = k + 1;
		}
	}
	
	printf("%d\n", f[0]);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3936kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3916kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

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

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3976kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 4ms
memory: 3812kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 19ms
memory: 4020kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 148ms
memory: 4048kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: 0
Accepted
time: 964ms
memory: 4300kb

input:

1000000000

output:

373787809

result:

ok 1 number(s): "373787809"

Test #12:

score: 0
Accepted
time: 964ms
memory: 4216kb

input:

999999999

output:

997616263

result:

ok 1 number(s): "997616263"

Test #13:

score: 0
Accepted
time: 966ms
memory: 4164kb

input:

999999990

output:

997615701

result:

ok 1 number(s): "997615701"

Test #14:

score: 0
Accepted
time: 965ms
memory: 4300kb

input:

999999900

output:

993928691

result:

ok 1 number(s): "993928691"

Test #15:

score: 0
Accepted
time: 965ms
memory: 4248kb

input:

999999000

output:

754532207

result:

ok 1 number(s): "754532207"

Test #16:

score: 0
Accepted
time: 965ms
memory: 4164kb

input:

999990000

output:

996592686

result:

ok 1 number(s): "996592686"

Test #17:

score: 0
Accepted
time: 965ms
memory: 4288kb

input:

999900000

output:

311678722

result:

ok 1 number(s): "311678722"

Test #18:

score: 0
Accepted
time: 965ms
memory: 4348kb

input:

999000000

output:

60462624

result:

ok 1 number(s): "60462624"

Test #19:

score: 0
Accepted
time: 958ms
memory: 4220kb

input:

990000000

output:

444576800

result:

ok 1 number(s): "444576800"

Test #20:

score: 0
Accepted
time: 882ms
memory: 4156kb

input:

900000000

output:

95615129

result:

ok 1 number(s): "95615129"

Test #21:

score: 0
Accepted
time: 5ms
memory: 3828kb

input:

1361956

output:

813433539

result:

ok 1 number(s): "813433539"

Test #22:

score: 0
Accepted
time: 18ms
memory: 3980kb

input:

7579013

output:

677659797

result:

ok 1 number(s): "677659797"

Test #23:

score: 0
Accepted
time: 20ms
memory: 4048kb

input:

8145517

output:

801509527

result:

ok 1 number(s): "801509527"

Test #24:

score: 0
Accepted
time: 16ms
memory: 4004kb

input:

6140463

output:

869023935

result:

ok 1 number(s): "869023935"

Test #25:

score: 0
Accepted
time: 10ms
memory: 3916kb

input:

3515281

output:

989091505

result:

ok 1 number(s): "989091505"

Test #26:

score: 0
Accepted
time: 17ms
memory: 3984kb

input:

6969586

output:

539840131

result:

ok 1 number(s): "539840131"