i am sorry if i heart anyone's feelings. that person really did a hard job, maybe because he don't know some packages. but that's why practice makes perfect.

If I am coding for me its ok to avoid most of the data validation.
I hope most of the members hear for improving the skills and adapt new ideas to be a bug free coding.
When practicing do concentrate in perfection, it’s my vision.

I am sorry to both of you if I heart you in some way.

Why iterate the list?

Did a lot of effort for creating the dict

good one, at least no one can reverse engineer you code

At last Done, Every function and operations have a basic method and it is using minimum processor resources.

Time: 11877msExit Code: 137
Response received but no data was written to STDOUT or STDERR.

hope its the same time out

Sorry before opening the page i remember to type Python but forgot, but i did not use any loop except index function

Your answer to "Coyotious" is not visible for me. your equation is ((P-1)! + 1) / (P * P) but his equation looks like `((P)! - 1) / (P * P),

got it you want us to think from the answer...?

but i used your equation, do you expect me to research and use other methords? if so this must not be in Kyu8