QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#752688 | #9553. The Hermit | ucup-team5697# | AC ✓ | 67ms | 27608kb | C++23 | 1.1kb | 2024-11-16 09:16:39 | 2024-11-16 09:16:39 |
Judging History
你现在查看的是测评时间为 2024-11-16 09:16:39 的历史记录
- [2024-11-18 19:43:48]
- hack成功,自动添加数据
- (/hack/1196)
- [2024-11-16 09:16:39]
- 提交
answer
#include<bits/stdc++.h>
using namespace std;bool Mbe;
namespace MAOJUN{
typedef long long ll;
const int N=1e5+5,MOD=998244353;
int n,m;
inline ll ksm(ll x){ll r=1;for(int y=MOD-2;y;y>>=1,x=x*x%MOD)if(y&1)r=r*x%MOD;return r;}
ll F[N],I[N];
inline ll C(int n,int m){return n<m?0:F[n]*I[m]%MOD*I[n-m]%MOD;}
vector<int>pr[N];
inline void ad(int&x,int y){x+=y;x>=MOD&&(x-=MOD);}
int dp[N][30];
inline void main(){
scanf("%d%d",&m,&n);
F[0]=1;for(int i=1;i<N;i++)F[i]=F[i-1]*i%MOD;
I[N-1]=ksm(F[N-1]);for(int i=N-2;~i;i--)I[i]=I[i+1]*(i+1)%MOD;
for(int i=1;i<N;i++)for(int j=i*2;j<N;j+=i)pr[j].emplace_back(i);
for(int i=1;i<N;i++){
dp[i][0]=1;
for(int p:pr[i])for(int j=1;j<30;j++)
ad(dp[i][j],dp[p][j-1]);
}
ll rs=C(m,n)*n%MOD;
for(int i=1;i<=m;i++)
for(int j=1;j<=n&&dp[i][j-1];j++)
rs=(rs-dp[i][j-1]*C(m/i-1,n-j))%MOD;
printf("%lld\n",(rs+MOD)%MOD);
}
}bool Med;int main(){
#ifdef LOCAL
freopen("3.in","r",stdin);
freopen("data.out","w",stdout);
#endif
MAOJUN::main();
#ifdef LOCAL
fprintf(stderr,"%lfs\n",clock()/1000.);
fprintf(stderr,"%lfMB\n",(&Mbe-&Med)/1024./1024);
#endif
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: 59ms
memory: 27596kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 63ms
memory: 27500kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 59ms
memory: 27544kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 47ms
memory: 27544kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 55ms
memory: 27596kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 58ms
memory: 27600kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 45ms
memory: 27604kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 59ms
memory: 27544kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 61ms
memory: 27464kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 61ms
memory: 27608kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 57ms
memory: 27600kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 62ms
memory: 27416kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 45ms
memory: 27408kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 50ms
memory: 27604kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 56ms
memory: 27604kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 50ms
memory: 27600kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 44ms
memory: 27420kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 55ms
memory: 27568kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 54ms
memory: 27548kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 60ms
memory: 27460kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 48ms
memory: 27564kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 65ms
memory: 27496kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 64ms
memory: 27500kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 67ms
memory: 27560kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 60ms
memory: 27556kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 53ms
memory: 27608kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 46ms
memory: 27424kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 57ms
memory: 27600kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 58ms
memory: 27608kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 59ms
memory: 27548kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 63ms
memory: 27548kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 61ms
memory: 27608kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 50ms
memory: 27560kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 49ms
memory: 27500kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 53ms
memory: 27500kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 56ms
memory: 27476kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 44ms
memory: 27476kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 57ms
memory: 27596kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 59ms
memory: 27548kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 52ms
memory: 27424kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 65ms
memory: 27416kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 56ms
memory: 27420kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 59ms
memory: 27564kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 58ms
memory: 27564kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 46ms
memory: 27480kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 39ms
memory: 27484kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 63ms
memory: 27556kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 56ms
memory: 27396kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 47ms
memory: 27568kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 65ms
memory: 27604kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 54ms
memory: 27556kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 57ms
memory: 27404kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 51ms
memory: 27560kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed