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- #include <bits/stdc++.h>
- using namespace std;
- #define ll long long
- #define test int t; cin>>t; for(int cs=1;cs<=t;cs++)
- #define maX 1000008
- bool marked[maX];
- vector<ll>p;
- void sieve()
- {
- marked[0]=1;
- marked[1]=1;
- for(ll i=4;i<=maX;i+=2)
- {
- marked[i]=1;
- }
- p.push_back(2);
- for(ll i=3;i<=maX;i+=2)
- {
- if(marked[i]==0)
- {
- p.push_back(i);
- for(ll j=i*i; j<=maX; j+=i+i)
- {
- marked[j]=1;
- }
- }
- }
- }
- int main()
- {
- ios_base::sync_with_stdio(0);
- cin.tie(0);cout.tie(0);
- sieve();
- test
- {
- ll a,b,c,i,j,k,l=1;
- cin>>a>>b;
- k=a;
- if(b*b>=a) l=0;
- else
- {
- for(i=0;p[i]*p[i]<=a && i<p.size();i++)
- {
- c=0;
- while(a%p[i]==0)
- {
- c++;
- a/=p[i];
- }
- l*=(c+1);
- }
- if(a>1) l*=2;
- l/=2;
- for(i=1;i<b;i++)
- {
- if(k%i==0) l--;
- }
- }
- cout<<"Case "<<cs<<": "<<l<<endl;
- }
- return 0;
- }
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