QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#291072 | #2858. 序列计数 | MoRanSky | 100 ✓ | 87ms | 29184kb | C++14 | 1.2kb | 2023-12-26 04:44:22 | 2023-12-26 04:44:23 |
Judging History
answer
// luogu-judger-enable-o2
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
int readint(){
int x=0,f=1; char ch=getchar();
while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
return x*f;
}
const int cys=20170408;
int n,m,p,tot,ret;
int A[105],B[105],ans[105],prime[10000005];
bool fl[20000005];
int mod(int x){return x>=p?x-p:x;}
void mul(int *A,int *B,int *C){
memset(ans,0,sizeof(ans));
for(int i=0;i<p;i++) for(int j=0;j<p;j++) ans[mod(i+j)]=(ans[mod(i+j)]+1ll*B[i]*C[j]%cys)%cys;
for(int i=0;i<p;i++) A[i]=ans[i];
}
void solve(int p){for(;p;p>>=1,mul(B,B,B)) if(p&1) mul(A,A,B);}
void getprime(int g){
fl[1]=true;
for(int i=2;i<=g;i++){
if(!fl[i]) prime[++tot]=i;
for(int j=1;j<=tot&&i*prime[j]<=g;j++){
fl[i*prime[j]]=true;
if(i%prime[j]==0) break;
}
}
}
int main(){
n=readint(); m=readint(); p=readint();
getprime(m);
for(int i=0;i<p;i++) A[i]=B[i]=m/p+(m%p>=i)-(i==0);
solve(n-1);
ret=A[0];
// cout<<"TEST "<<ret<<endl;
for(int i=0;i<p;i++) A[i]=B[i]=m/p+(m%p>=i)-(i==0);
for(int i=1;i<=m;i++) if(!fl[i]) A[i%p]--,B[i%p]--;
solve(n-1);
printf("%d\n",(ret-A[0]+cys)%cys);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 10
Accepted
time: 0ms
memory: 5804kb
input:
59 74 92
output:
12897479
result:
ok single line: '12897479'
Test #2:
score: 10
Accepted
time: 1ms
memory: 5780kb
input:
69 67 96
output:
1349436
result:
ok single line: '1349436'
Test #3:
score: 10
Accepted
time: 2ms
memory: 5848kb
input:
943671998 73 85
output:
18207212
result:
ok single line: '18207212'
Test #4:
score: 10
Accepted
time: 2ms
memory: 5760kb
input:
746634527 62 94
output:
17351056
result:
ok single line: '17351056'
Test #5:
score: 10
Accepted
time: 2ms
memory: 5840kb
input:
564722714 95 81
output:
2784012
result:
ok single line: '2784012'
Test #6:
score: 10
Accepted
time: 6ms
memory: 8564kb
input:
611369852 733282 81
output:
18549852
result:
ok single line: '18549852'
Test #7:
score: 10
Accepted
time: 5ms
memory: 7912kb
input:
844122870 626526 95
output:
15263765
result:
ok single line: '15263765'
Test #8:
score: 10
Accepted
time: 5ms
memory: 7868kb
input:
502354839 648479 83
output:
10550324
result:
ok single line: '10550324'
Test #9:
score: 10
Accepted
time: 87ms
memory: 29184kb
input:
594910299 19953853 95
output:
14988503
result:
ok single line: '14988503'
Test #10:
score: 10
Accepted
time: 85ms
memory: 29020kb
input:
504926671 19227699 90
output:
6598138
result:
ok single line: '6598138'