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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#752754#9553. The Hermitucup-team4938#AC ✓60ms12540kbC++141.3kb2024-11-16 09:37:002024-11-16 09:37:00

Judging History

你现在查看的是测评时间为 2024-11-16 09:37:00 的历史记录

  • [2024-11-18 19:44:41]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:59ms
  • 内存:12548kb
  • [2024-11-18 19:43:48]
  • hack成功,自动添加数据
  • (/hack/1196)
  • [2024-11-16 09:37:00]
  • 评测
  • 测评结果:100
  • 用时:60ms
  • 内存:12540kb
  • [2024-11-16 09:37:00]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int mod = 998244353;
int n, m, ans, fac[100010], ifac[100010], f[100010][20];
void add(int &x,int y){x+=y;if(x>=mod)x-=mod;}
int qmd(int x){return x<mod?x:x-mod;}
int qpw(int x,int y=mod-2){int res=1;while(y>0){if(y&1)res=(ll)res*x%mod;x=(ll)x*x%mod;y>>=1;}return res;}
int C(int x,int y){return y<0||x<y?0:(ll)fac[x]*ifac[y]%mod*ifac[x-y]%mod;}
int main()
{
	int i, j, p;
	scanf("%d%d", &m, &n);
	for(i = 1, fac[0] = 1; i <= m; i++) fac[i] = (ll)fac[i - 1] * i % mod;
	for(i = m, ifac[m] = qpw(fac[m]); i > 0; i--) ifac[i - 1] = (ll)ifac[i] * i % mod;
	ans = (ll)C(m, n) * n % mod;
	for(i = 1; i <= m; i++){
		for(j = 1; j <= 19; j++) f[i][j] = 0;
		f[i][1] = 1;
		for(j = 1; j * j < i; j++){
			if(i % j == 0){
				for(p = 1; p < 19; p++){
					add(f[i][p + 1], f[j][p]);
				}
				if(j != 1){
					for(p = 1; p < 19; p++){
						add(f[i][p + 1], f[i / j][p]);
					}
				}
			}
		}
		if(i > 1 && j * j == i){
			for(p = 1; p < 19; p++){
				add(f[i][p + 1], f[j][p]);
			}
		}
		for(j = 1; j <= 19; j++){
//			if(f[i][j] > 0) printf("%d %d %d %d\n", i, j, f[i][j], C(m / i - 1, n - j));
			add(ans, mod - (ll)f[i][j] * C(m / i - 1, n - j) % mod);
		}
	}
	printf("%d", ans);
	return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5748kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 1ms
memory: 6004kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 53ms
memory: 12540kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 4ms
memory: 4800kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 58ms
memory: 12336kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 55ms
memory: 12412kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 59ms
memory: 12336kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

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

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3952kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3920kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3896kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3932kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 1ms
memory: 4036kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 1ms
memory: 4072kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 1ms
memory: 4012kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 1ms
memory: 3912kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 50ms
memory: 12540kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 15ms
memory: 10200kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 4ms
memory: 4956kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 1ms
memory: 5756kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 57ms
memory: 12296kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 57ms
memory: 12420kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 57ms
memory: 12392kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 3ms
memory: 4820kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 60ms
memory: 12336kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 59ms
memory: 12416kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 54ms
memory: 12540kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 57ms
memory: 12492kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 5ms
memory: 7052kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 55ms
memory: 12292kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 59ms
memory: 12456kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 59ms
memory: 12500kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 58ms
memory: 12416kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 57ms
memory: 12420kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 52ms
memory: 12476kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 52ms
memory: 12472kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

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

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 1ms
memory: 5760kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

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

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 3904kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 1ms
memory: 3956kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 37ms
memory: 11588kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 30ms
memory: 12236kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 34ms
memory: 12156kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 56ms
memory: 12496kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 54ms
memory: 12480kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 55ms
memory: 12532kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 57ms
memory: 12496kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed