const int maxn=30000+5;
int prime[maxn];
void marktable(int n){
memset(prime,0,sizeof(prime));
for(int i=2;i<=n;i++){
if(!prime[i]) prime[++prime[0]]=i;
for(int j=1;j<=prime[0]&&prime[j]<=n/i;j++){
prime[prime[j]*i]=1;
if(i%prime[j]==0) break;
}
}
}
long long factor[100][2];
int fatCnt;
int getFactors(long long x){
fatCnt=0;
long long tmp=x;
for(int i=1;prime[i]<=tmp/prime[i];i++){
factor[fatCnt][1]=0;
if(tmp%prime[i]==0){
factor[fatCnt][0]=prime[i];
while(tmp%prime[i]==0){
factor[fatCnt][1]++;
tmp/=prime[i];
}
fatCnt++;
}
}
if(tmp!=1) {
factor[fatCnt][0]=tmp;
factor[fatCnt++][1]=1;
}
return fatCnt;
}