# (PPDIV) Perfect Power Divisors - Video Solution (APRIL20)

Hi,
I have created a video solution for the problem Perfect Power Divisors(PPDIV) under April long challenge 2020. The solution is presented in such a way that it shows the steps I took to arrive at the solution. I hope this video helps you understand the solution to the fullest.

If you understood the solution please do leave a like on the video.

Happy coding!

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``````for(ll i=sqrn; i > 1; --i) {
ll cnt = n / (i*i);
ll j = n / (cnt+1);
j = sqrt(j);
if(j == i)
--j;
cout<<cnt<<" : "<<i<<" "<<j<<endl;
ll sum = (i * (i+1LL))%MOD;
sum = (sum * (2LL*i+1LL))%MOD;
sum = (sum * inv6)%MOD;
// assert(sum>=0);
ll sum2 = (j * (j+1LL))%MOD;
sum2 = (sum2 * (2LL*j+1LL))%MOD;
sum2 = (sum2 * inv6)%MOD;
// assert(sum2>=0);
sum = (sum - sum2 + MOD)%MOD;
// assert(sum>=0);
ans += (sum * cnt)%MOD;
ans %= MOD;
// assert(j > 0);
i = j+1;
}
``````

In you code, you wrote a logic
if(j == i)
–j;
what’s the need of it? and in which case i and j could be equal?

1 Like

While debugging i found that i is equal to j for few i values. In that case I want to still add i. So im doing j–.

1 Like