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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#873595#9553. The HermitxielirenAC ✓28ms8332kbC++141.3kb2025-01-26 18:01:022025-01-26 18:01:03

Judging History

This is the latest submission verdict.

  • [2025-01-26 18:01:03]
  • Judged
  • Verdict: AC
  • Time: 28ms
  • Memory: 8332kb
  • [2025-01-26 18:01:02]
  • Submitted

answer

#include<bits/stdc++.h>
#define int __int128
using namespace std;
int read(){
	int s = 0, f = 1;char ch = getchar();
	while(!isdigit(ch)){if(ch == '-')f = -1;ch = getchar();}
	while(isdigit(ch)){s = s * 10 + ch - '0';ch = getchar();}
	return s * f;
}
void write(int x){
    if(x < 0){putchar('-'); x = -x;}
    if(x > 9) write(x / 10);
    putchar(x % 10 + '0');
}
const int MAXN = 1e5 + 5, MOD = 998244353;
int n, m, ans, fac[MAXN], inv[MAXN], f[MAXN];
int fpow(int a, int b){
	int res = 1;
	while(b){
		if(b & 1ll)res = res * a % MOD;
		a = a * a % MOD;
		b >>= 1ll;
	}
	return res;
}
int C(int a, int b){
	return fac[a] * inv[b] % MOD * inv[a - b] % MOD;
}
signed main(){
	m = read(), n = read();
	fac[0] = 1;
	for(int i = 1;i <= m;i ++)fac[i] = fac[i - 1] * i % MOD;
	inv[m] = fpow(fac[m], MOD - 2);
	for(int i = m - 1;i >= 0;i --)inv[i] = inv[i + 1] * (i + 1) % MOD;
	for(int i = 1;i <= m;i ++)f[i] = 1;
	ans = n * C(m, n);
	for(int t = 0;t < min(n, (int)17);t ++){
		int p = m / (n - t);
		for(int i = 1;i <= p;i ++)ans -= f[i] * C(m / i - 1, n - t - 1);
		if(t != min(n, (int)17) - 1){
			for(int i = m;i >= 0;i --){
				if(f[i]){
					for(int j = i * 2;j <= m;j += i){
						f[j] += f[i];
						f[j] %= MOD;
					}
					f[i] = 0;
				}
			}
		} 
	}
	write((ans % MOD + MOD) % MOD);
	return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

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Test #1:

score: 100
Accepted
time: 0ms
memory: 5704kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 0ms
memory: 7756kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 21ms
memory: 8192kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 3ms
memory: 5892kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 22ms
memory: 8100kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 3ms
memory: 8268kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 25ms
memory: 8264kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5704kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 0ms
memory: 5708kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5712kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 0ms
memory: 5708kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 0ms
memory: 7756kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 0ms
memory: 7708kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 0ms
memory: 5668kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 0ms
memory: 5712kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 0ms
memory: 7756kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 0ms
memory: 5708kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 21ms
memory: 8252kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 6ms
memory: 8140kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 2ms
memory: 6036kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 0ms
memory: 5672kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 21ms
memory: 8332kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 21ms
memory: 8284kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 21ms
memory: 8136kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 2ms
memory: 5840kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 9ms
memory: 8264kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 14ms
memory: 8212kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 23ms
memory: 8268kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 20ms
memory: 8276kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 2ms
memory: 6044kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 26ms
memory: 8240kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 28ms
memory: 8268kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 25ms
memory: 8268kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 25ms
memory: 8268kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 22ms
memory: 8272kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 20ms
memory: 8104kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 19ms
memory: 8000kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 1ms
memory: 5704kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 0ms
memory: 5708kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 0ms
memory: 7588kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 0ms
memory: 7756kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 0ms
memory: 7752kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 0ms
memory: 5708kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 0ms
memory: 5496kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 0ms
memory: 7756kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 0ms
memory: 5712kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 13ms
memory: 7840kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 14ms
memory: 7800kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 16ms
memory: 7752kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 23ms
memory: 8264kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 19ms
memory: 8168kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 9ms
memory: 8100kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 21ms
memory: 8100kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed