N:B :- Language is C as spoj shows TLE in C++
#include <stdio.h>
#define n 100005
long long int p[n],k=1,size;
long long int a[n];
long long int prime()
{
long long i,j;
a[0]=a[1]=1;
for(i=4;i<=n;i=i+2)
{
a[i]=1;
}
for(i=3;i<=sqrt(n);i=i+2)
{
for(j=i*i;j<=n;j=j+2*i)
{
a[j]=1;
}
}
p[0]=2;
for(i=3;i<=n;i=i+2)
{
if(a[i]==0)
{
p[k]=i;
//cout<<p[k]<<endl;
k++;
}
}
}
int main()
{
long long int u,w,z,y,cnt;
//freopen("factor.txt","w",stdout);
prime();
for(u=2;u<=100000;u++)
{
y=u;
printf("%llu:",u);
for(w=0;w<=k && p[w]<=sqrt(u);w++)
{
if(y%p[w]==0)
{
while(y%p[w]==0)
{
y=y/p[w];
z=p[w];
}
printf(" %lld",p[w]);
}
if(y==1)
{
break;
}
}
if(y>1)
{
printf(" %lld",y);
}
printf("\n");
}
return 0;
}
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