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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#791778 | #9553. The Hermit | hhu_yjh | AC ✓ | 904ms | 24644kb | C++20 | 2.0kb | 2024-11-28 20:50:14 | 2024-11-28 20:50:17 |
Judging History
answer
#include <bits/stdc++.h>
#define dbg() cout<<"-------"
typedef long long ll;
using namespace std;
typedef pair<int,int> PII;
typedef unsigned long long ull;
const int N=2e6+10;
const int mod=998244353;
ll n,m;
ll dp[N][20];
ll fact[N];
ll qmi(ll x,ll y,ll mod){
ll res=1,t=x%mod;
while(y){
if(y&1) res=res*t%mod;
t=t*t%mod;
y>>=1;
}
return res;
}
ll c(int n,int m){
if(m>n) return 0;
return fact[n]*qmi(fact[m],mod-2,mod)%mod*qmi(fact[n-m],mod-2,mod)%mod;
//return fact[n]*qmi(fact[m]*fact[n-m]%mod,mod-2,mod)%mod;
}
void solve(){
cin>>m>>n;
fact[0]=1;for(int i=1;i<=m;i++) fact[i]=fact[i-1]*i%mod;
//cout<<c(3,0)<<'\n';
// cout<<"*****"<<'\n';
for(int i=1;i<=m;i++) dp[i][1]=1;
for(int len=1;len<=17;len++){
for(int i=1;i<=m;i++){
for(int j=2*i;j<=m;j+=i){
dp[j][len+1]+=dp[i][len];
dp[j][len+1]%=mod;
}
}
}
// cout<<dp[1][1]<<' '<<dp[1][2]<<'\n';
// cout<<"..."<<'\n';
ll ans=0;
for(int i=1;i<=m;i++){
int cnt=m/i-1;
ans+=(c(m-i,n-1)-c(cnt,n-1))*n%mod;
//cout<<i<<"..."<<ans<<'\n';
ans%=mod;
}
//cout<<ans<<'\n';
// exit(0);
//ans=0;/////////////////
for(int g=1;g<=m;g++){
for(int len=1;len<=min(17ll,n-1);len++){
if(!dp[g][len]) break;
for(int t=2*g;t<=m;t+=g){
int cnt=m/g-t/g;
int cnt2=m/t-1;
ans+=(c(cnt,n-len-1)-c(cnt2,n-len-1))%mod*dp[g][len]%mod*(n-len)%mod;
// if((c(cnt,n-len-1)-c(cnt2,n-len-1))*dp[g][len]%mod*(n-len)%mod){
// cout<<g<<' '<<len<<" "<<t<<'\n';
// }
ans%=mod;
}
}
// cout<<g<<"..."<<ans<<'\n';
}
cout<<((ans%mod)+mod)%mod<<'\n';
}
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
int t;
//cin>>t;
t=1;
while(t--){
solve();
}
}
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: 5568kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5756kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 86ms
memory: 24620kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 14ms
memory: 7848kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 171ms
memory: 24404kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 110ms
memory: 22708kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 782ms
memory: 24324kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 1ms
memory: 5636kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 1ms
memory: 5752kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5756kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 1ms
memory: 5672kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 1ms
memory: 5708kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 1ms
memory: 5756kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 1ms
memory: 5692kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 2ms
memory: 5708kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 1ms
memory: 5636kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 1ms
memory: 5716kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 96ms
memory: 24352kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 43ms
memory: 12104kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 70ms
memory: 7896kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 5708kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 183ms
memory: 22924kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 90ms
memory: 22776kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 97ms
memory: 20808kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 57ms
memory: 7744kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 599ms
memory: 22780kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 904ms
memory: 24644kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 86ms
memory: 20748kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 86ms
memory: 22920kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 11ms
memory: 7832kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 756ms
memory: 22680kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 762ms
memory: 20868kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 753ms
memory: 22848kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 749ms
memory: 20752kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 86ms
memory: 20868kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 84ms
memory: 20704kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 83ms
memory: 20780kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 1ms
memory: 5708kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 1ms
memory: 5692kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 1ms
memory: 5748kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 1ms
memory: 5692kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 1ms
memory: 5608kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 1ms
memory: 5624kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 1ms
memory: 5700kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 1ms
memory: 5692kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 1ms
memory: 5692kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 85ms
memory: 16420kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 461ms
memory: 16388kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 461ms
memory: 16388kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 435ms
memory: 22864kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 438ms
memory: 20784kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 593ms
memory: 22796kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 113ms
memory: 20744kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed