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loj1028.cpp
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loj1028.cpp
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//{ Template
//{ C-headers
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
#include <climits>
#include <cfloat>
#include <cctype>
#include <cassert>
#include <ctime>
//}
//{ C++-headers
#include <iostream>
#include <iomanip>
#include <sstream>
#include <algorithm>
#include <utility>
#include <string>
#include <stack>
#include <queue>
#include <vector>
#include <set>
#include <map>
using namespace std;
//}
//}
//{ Floating-points
#define EPS DBL_EPSILON
#define abs(x) (((x) < 0) ? - (x) : (x))
#define zero(x) (abs (x) < EPS)
#define equal(a,b) (zero ((a) - (b)))
#define PI 2 * acos (0.0)
//}
#define max(a,b) (a)>(b)?(a):(b)
#define min(a,b) (a)<(b)?(a):(b)
#define memo(a,v) memset(a,v,sizeof(a))
#define all(a) a.begin(),a.end()
#define INF 1<<29
#define ll long long
#define db double
#define pii pair<int ,int >
#define NL puts("")
#define G getchar()
//}
//compute b^p
ll Pow(ll b,ll p){
ll ret = 1;
while(p){
if(p&1) ret *= b ;
p >>= (1ll) , b *= b ;
}
return ret ;
}
//compute b^p%m
ll BigMod(ll b,ll p ,ll m ){
ll ret = 1 ;
while(p) {
if(p&1) ret = (ret * b ) % m ;
p >>= (1ll) , b = (b*b)%m ;
}
return ret ;
}
//compute gcd of (a,b)
ll GCD(ll a , ll b){
while(b) b ^= a ^= b ^= a %= b ;
return a;
}
//compute lcm of (a,b)
ll LCM(ll a , ll b) {
return (a / GCD(a,b)*b);
}
#define N 1000000+10
vector<int>primes;
bool prime[N];
void sieve()
{
int i,j,sqr = sqrt(N);
prime[0]=prime[1]=true;
primes.push_back(2);
for(i=4;i<N;i+=2)
prime[i]=true;
for(i=3;i<sqr;i+=2)
{
if(prime[i]==false)
{
primes.push_back(i);
for(j=i*i;j<N;j+=2*i)
prime[j]=true;
}
}
while(i<N)
{
if(prime[i]==false)
primes.push_back(i);
i+=2;
}
}
ll finding_divisor(ll num)
{
int j, sz = primes.size(), sq = sqrt(num),cnt;
ll ans = 1;
for(j=0;j<sz&&primes[j]<=sq;j++)
{
if(num%primes[j]==0)
{
cnt=0;
while(num%primes[j]==0) {
num/=primes[j];
cnt++;
}
ans*=(cnt+1);
}
sq = sqrt(num);
}
if(num>1) ans*=2;
return ans-1;
}
int main ()
{
sieve();
int t,Case = 1;
ll num;
scanf("%d",&t);
while(t--)
{
scanf("%lld",&num);
printf("Case %d: %lld\n",Case++,finding_divisor(num));
}
return 0;
}