ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#213790 | #2157. 数列 | cheatme | 100 | 5067ms | 44464kb | C++ | 1.3kb | 2024-11-13 19:43:24 | 2024-11-13 23:02:53 |
answer
#include<stdio.h>
#include<iostream>
using namespace std;
#define maxnn 2000100
#define ll long long
ll zhi[maxnn];
ll n,p;
ll phi[maxnn];
ll cnt[maxnn];
ll len=0;
ll is[maxnn];
void init()
{
phi[1]=1;
for(ll i=2;i<=2000000;i++)
{
if(!phi[i])
zhi[++len]=i;
for(int j=1;j<=len&&zhi[j]*i<=2000000;j++)
{
phi[zhi[j]*i]=1;
if(i%zhi[j]==0) break;
}
}
}
void iiit(){
for(ll i=2*n;i>=1;i--)
{
if(is[i])
{
if(zhi[lower_bound(zhi+1,zhi+len+1,i)-zhi]==i) continue;
for(int j=2;j*j<=i;j++)
{
if(i%j==0)
{
is[j]+=is[i];
is[i/j]+=is[i];
break;
}
}
}
}
for(int i=1;i<=len&&zhi[i]<=2*n;i++)
{
if(is[zhi[i]]) cnt[zhi[i]]+=is[zhi[i]];
}
}
ll ksm(ll a,ll b)
{
ll ans=1;
while(b)
{
if(b&1) ans=ans*a%p;
a=a*a%p;
b>>=1;
}
return ans;
}
int main(){
cin>>n>>p;
for(ll i=n+2;i<=2*n;i++) is[i]=1;
for(ll i=1;i<=n;i++) is[i]=-1;
init();
iiit();
ll tot=1;
for(ll i=1;i<=len&&zhi[i]<=2*n;i++)
{
if(cnt[zhi[i]]) tot=tot*ksm(zhi[i],cnt[zhi[i]])%p;
}
cout<<tot%p;
}
Details
小提示:点击横条可展开更详细的信息
Test #1:
score: 5
Accepted
time: 35ms
memory: 18020kb
input:
921 998054347
output:
345389219
result:
ok single line: '345389219'
Test #2:
score: 5
Accepted
time: 24ms
memory: 18020kb
input:
926 998064329
output:
458756691
result:
ok single line: '458756691'
Test #3:
score: 5
Accepted
time: 28ms
memory: 18020kb
input:
1000 998074327
output:
457273797
result:
ok single line: '457273797'
Test #4:
score: 5
Accepted
time: 22ms
memory: 18020kb
input:
952 998084303
output:
329700115
result:
ok single line: '329700115'
Test #5:
score: 5
Accepted
time: 25ms
memory: 18020kb
input:
989 998094347
output:
94788253
result:
ok single line: '94788253'
Test #6:
score: 5
Accepted
time: 29ms
memory: 18016kb
input:
902 998104313
output:
911969455
result:
ok single line: '911969455'
Test #7:
score: 5
Accepted
time: 29ms
memory: 18016kb
input:
914 998114333
output:
827812986
result:
ok single line: '827812986'
Test #8:
score: 5
Accepted
time: 25ms
memory: 18020kb
input:
986 998124313
output:
169699253
result:
ok single line: '169699253'
Test #9:
score: 5
Accepted
time: 25ms
memory: 18016kb
input:
947 998134339
output:
761932751
result:
ok single line: '761932751'
Test #10:
score: 5
Accepted
time: 29ms
memory: 18016kb
input:
934 998144339
output:
42889072
result:
ok single line: '42889072'
Test #11:
score: 5
Accepted
time: 412ms
memory: 44464kb
input:
991572 998154343
output:
277089318
result:
ok single line: '277089318'
Test #12:
score: 5
Accepted
time: 386ms
memory: 42916kb
input:
932800 998164337
output:
945072504
result:
ok single line: '945072504'
Test #13:
score: 5
Accepted
time: 378ms
memory: 42128kb
input:
903603 998174341
output:
29916736
result:
ok single line: '29916736'
Test #14:
score: 5
Accepted
time: 438ms
memory: 43588kb
input:
958646 998184331
output:
802903490
result:
ok single line: '802903490'
Test #15:
score: 5
Accepted
time: 592ms
memory: 44244kb
input:
983016 998194349
output:
802900579
result:
ok single line: '802900579'
Test #16:
score: 5
Accepted
time: 538ms
memory: 42632kb
input:
922347 998204353
output:
228575331
result:
ok single line: '228575331'
Test #17:
score: 5
Accepted
time: 586ms
memory: 44064kb
input:
976053 998214317
output:
982618317
result:
ok single line: '982618317'
Test #18:
score: 5
Accepted
time: 395ms
memory: 43544kb
input:
957300 998224351
output:
514549818
result:
ok single line: '514549818'
Test #19:
score: 5
Accepted
time: 538ms
memory: 42612kb
input:
921760 998234353
output:
470386410
result:
ok single line: '470386410'
Test #20:
score: 5
Accepted
time: 533ms
memory: 42372kb
input:
912948 998244353
output:
129235345
result:
ok single line: '129235345'