OJ-Problems-Source/HDOJ/3609_autoAC.cpp
2016-09-04 14:13:02 +08:00

69 lines
1.1 KiB
C++

#include<stdio.h>
typedef __int64 ll;
ll mod=100000000;
ll m[205];
ll eular(ll n)
{
ll i,ret=1;
for(i=2;i*i<=n;i++)
{
if(n%i==0)
{
n=n/i;
ret=ret*(i-1);
while(n%i==0)
{
n=n/i;
ret=ret*i;
}
}
if(n==1)
break;
}
if(n>1)
ret=ret*(n-1);
return ret;
}
void init()
{
ll i;
m[1]=mod;
for(i=2;i<=204;i++)
m[i]=eular(m[i-1]);
}
ll power(ll a,ll b,ll c)
{
ll res=1;
while(b)
{
if(b%2==1)
res=res*a%c;
a=(a%c)*(a%c)%c;
b=b/2;
}
return res;
}
int main()
{
ll a,k,i,ans;
init();
while(scanf("%I64d%I64d",&a,&k)!=EOF)
{
ans=a;
if(a==0&&k%2==0)
{
printf("1\n");
continue;
}
for(i=k;i>=2;i--)
{
ans=ans%m[i];
if(ans==0)
ans=m[i];
ans=power(a,ans,m[i-1]);
}
printf("%I64d\n",ans%mod);
}
return 0;
}