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E. Divisor Count of Odd Parity

E. Divisor Count of Odd Parity

Topic: Divisor + parity

Solution: 

all possible solution at a time.



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 #include<bits/stdc++.h>
using namespace std;
typedef long long ll;
map<ll, ll>M;

bool findParity(ll n)
{
    ll cnt = 0;
    while(n){
        n = n & (n - 1);
        cnt++;
    }
    if(cnt & 1)return true;
    else return false;
}

bool _findParity(ll x)
{
    ll y = x ^ (x >> 1);
    y = y ^ (y >> 2);
    y = y ^ (y >> 4);
    y = y ^ (y >> 8);
    y = y ^ (y >> 16);
    y = y ^ (y >> 32);
 
    // Rightmost bit of y holds the parity value
    // if (y&1) is 1 then parity is odd else even
    if (y & 1)
        return 1;
    return 0;
}

bool findParity_loop(ll n)
{
    ll cnt = __builtin_popcountll(n);
    if(cnt & 1)return true;
    else return false;
}



  ll Divisors(ll n)/// while loop diye
{
    ll cnt = 0;
    for (ll i=1; i<=sqrt(n); i++)
    {
        if (n%i==0)
        {
            if (n/i == i)
            {
               // if(__builtin_parity(i))
                    if(findParity(i))
                {
                    cnt++;
                    M[i]++;
                    //printf("%d ", i);
                }
            }
            else
            {
                //if(__builtin_parity(i))
                    if(findParity(i))
                {
                    cnt++;
                    M[i]++;
                    //rintf("%d ", i);
                }
                //if(__builtin_parity(n/i))
                if(findParity(n/i))
                {
                    cnt++;
                    M[n/i]++;
                    //printf("%d ", n/i);
                }
            }
        }
    }
    return cnt;
}
   ll divisors(ll n)/// builtin function diye
{
    ll cnt = 0;
    for (ll i=1; i<=sqrt(n); i++)
    {
        if (n%i==0)
        {
            if (n/i == i)
            {
               if(__builtin_parityll(i))
               //     if(findParity(i))
                {
                    cnt++;
                    M[i]++;
                    //printf("%d ", i);
                }
            }
            else
            {
                if(__builtin_parityll(i))
                    //if(findParity(i))
                {
                    cnt++;
                    M[i]++;
                   //printf("%d ", i);
                }
                if(__builtin_parityll(n/i))
               // if(findParity(n/i))
                {
                    cnt++;
                    M[n/i]++;
                   // printf("%d ", n/i);
                }
            }
        }
    }
    return cnt;
}

  ll _Divisors(ll n)
{
    ll cnt = 0;
    for (ll i=1; i<=sqrt(n); i++)
    {
        if (n%i==0)
        {
            if (n/i == i)
            {
               //if(__builtin_parity(i))
                    if(_findParity(i))
                {
                    cnt++;
                    M[i]++;
                    //printf("%d ", i);
                }
            }
            else
            {
                //if(__builtin_parity(i))
                    if(_findParity(i))
                {
                    cnt++;
                    M[i]++;
                   //printf("%d ", i);
                }
               // if(__builtin_parity(n/i))
                if(_findParity(n/i))
                {
                    cnt++;
                    M[n/i]++;
                   // printf("%d ", n/i);
                }
            }
        }
    }
    return cnt;
}
 ll Divisors_loop(ll n)
{
    ll cnt = 0;
    for (ll i=1; i<=sqrt(n); i++)
    {
        if (n%i==0)
        {
            if (n/i == i)
            {
               // if(__builtin_parity(i))
                    if(findParity_loop(i))
                {
                    cnt++;
                    M[i]++;
                    //printf("%d ", i);
                }
            }
            else
            {
                //if(__builtin_parity(i))
                    if(findParity_loop(i))
                {
                    cnt++;
                    M[i]++;
                    //rintf("%d ", i);
                }
                //if(__builtin_parity(n/i))
                if(findParity_loop(n/i))
                {
                    cnt++;
                    M[n/i]++;
                    //printf("%d ", n/i);
                }
            }
        }
    }
    return cnt;
}



int  main()
{
   #ifndef ONLINE_JUDGE
    freopen("in.txt", "r", stdin);
    freopen("out.txt", "w", stdout);
  #endif
    ll n;
    scanf("%lld", &n);
   /* int res = 0;
    for(int i = 0; i < (2*n+1); i++)
    {
        int x;
        scanf("%d",&x);
        res ^= x;
    }*/
    cout << "While diye--> "<< Divisors(n)<<endl;
    cout << "Builtin diye--> "<< divisors(n)<<endl;
    cout << "Xor diye--> " << _Divisors(n)<<endl;
    cout << "pOpcount  diye--> " << Divisors_loop(n)<<endl;
    for(auto x: M){
        if(x.second == 4)continue;
        else cout << x.first<<" ";
    }
    fprintf(stdout,"\nTIME: %.4lf sec\n", (double)clock()/(CLOCKS_PER_SEC));
    return 0;
}
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