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  1. #include<iostream>
  2. #include<cmath>
  3. using namespace std;
  4.  
  5. long long prime(long long n)
  6. {   bool a[n/2];
  7.     for(int i = 0;i<n/2;i++)
  8.     a[i] = 1;
  9.     for(long long s = 2;s<=int(sqrt(n));s++)
  10.     {   if(a[s-1] == 0)
  11.         continue;
  12.         for(long long j = s*s;j<=n/2;j+=s)
  13.         {  a[j-1] = 0;
  14.           /*  if(n == j)
  15.             return s;*/
  16.         }
  17.     }
  18.     for(long long i = 1;i<n/2;i++ )
  19.     {
  20.         if(a[i]==0)
  21.         continue;
  22.         if(n%(i+1) == 0)
  23.         return i+1;
  24.     }
  25.  
  26.     return n;
  27. }
  28.  
  29. int main()
  30. {
  31.    long long n;
  32.    cin>>n;
  33.    long long a[n];
  34.    for(long long j=0;j<=n;j++)
  35.    a[j]=0;
  36.    for(long long i=2;i<=n;i++)
  37.    {   long long p = i;
  38.        long long k = prime(p);//Returns first prime factor of i
  39.        a[k]++;
  40.        p = p/k;
  41.        while(p!=1)
  42.        {
  43.            int s = prime(p);
  44.            a[s]++;
  45.            p = p/s;
  46.        }
  47.    }
  48.  
  49.    long long s=1;
  50.   for(long long i = 0;i<=n;i++)
  51.   {
  52.       if(a[i]==0)
  53.       {
  54.           continue;
  55.       }
  56.      // s*=(1+2*a[i]);
  57.      s = (s *(1+2*a[i]))%1000007;
  58.  
  59.  //cout<<i<<" "<<a[i]<<endl;
  60.   }
  61.   cout<<s%1000007<<endl;
  62.   return 0;
  63. }
  64.  
  65.  
Runtime error #stdin #stdout 0.01s 2724KB
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Standard input is empty
stdout
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Standard output is empty
https://ideone.com/FqBb8
language:
C++ (gcc 8.3)
created:
12 years ago
visibility:
public

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