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Saleh127

UVA 10061

Aug 13th, 2020
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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3. #define ll long long
  4. ll zero(ll n,ll m)
  5. {
  6. ll ans=n,i,j,k=m,l;
  7. for(i=2;i<=m;i++)
  8. {
  9. if(m%i==0)
  10. {
  11. ll pwr=0;
  12. while(m%i==0)
  13. {
  14. pwr++;
  15. m/=i;
  16. }
  17. j=0;
  18. l=n;
  19. while(l/i>0)
  20. {
  21. j+=(l/i);
  22. l/=i;
  23. }
  24. ans=min(ans,j/pwr);
  25. }
  26. }
  27. return ans;
  28. }
  29. int main()
  30. {
  31. ios_base::sync_with_stdio(0);
  32. cin.tie(0);cout.tie(0);
  33.  
  34. ll a,c,i;
  35. while(cin>>a>>c)
  36. {
  37. double d=0;
  38. for(i=1;i<=a;i++)
  39. {
  40. d+=log(i);
  41. }
  42. d=double((d/log(c))+1.00);
  43. cout<<zero(a,c)<<" "<<(ll)d<<endl;
  44. }
  45.  
  46. return 0;
  47. }
  48.  
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