Max is planning to take part in a Diwali contest at a Diwali party that will begin at 8 PM and will run until midnight ( 12 AM

Question

Max is planning to take part in a Diwali contest at a Diwali party that will begin at 8 PM and will run until midnight ( 12 AM ) i.e.,for 4 hours .He also needs to travel to the party venue within this time which takes him P minutes. The contest comprises of N problems that are arranged in order of difficulty, with problem 1 being the simplest and problem N being the most difficult.Max is aware that he will require 5*i minutes to solve the i th problem.
Your task is help max find and return an integer value, representing the number of problems Max can solve and reach the party venue within the given time frame of 4 hours

Answer 1

The future of coding...
prompting for answer.

Answer 2

Wong Hei Ming
I fed the question to Sololearn's AI. I got this reply:

Given:
- The party starts at 8 PM and ends at midnight (12 AM), which is a total of 4 hours.
- Max needs to travel to the party venue, which takes him P minutes.
- It takes Max 5*i minutes to solve the i-th problem.

Total time to solve problems = 4 hours (240 minutes) - P minutes

Next, we need to calculate how many problems Max can solve within the remaining time frame:

The time required to solve X problems = 5*1 + 5*2 + ... + 5*X = 5*(1+2+...+X) = 5*X*(X+1)/2

So, we solve the following inequality:
5*X*(X+1)/2 <= total time to solve problems

Now, solve for X:
5*X*(X+1)/2 <= 240 - P
5*X*(X+1) <= 480 - 2*P
X*(X+1) <= (480 - 2*P)/5

The valid solutions for X are the integer values that satisfy the inequality above.

Finally, return the maximum integer value of X that satisfies the inequality as the number of problems Max can solve and still reach the party venue within the given time frame.

Answer 3

Wong Hei Ming
Your solution is even simpler and more elegant. 😎 minimising p while maximising x.

AI actually proposed a more complicated solution that prevented me from seeing a simpler solution.

I guess unnecessary complication is also one of the potential danger of AI. It could end up complicating everything that we could end up having to totally relly on it instead of using simpler and more maintainable solutions.

Answer 4

Bob_Li
Interesting...I'm not good at math and didn't know 5*(1+2+...+x) can simplify to 5*x*(x+1)/2
It would work much faster when the party last for much longer period like infinity.

Answer 5

Do I miss something?

He also needs to travel to the party venue within this time which takes him P minutes.
...Max can solve and reach the party venue within the given time frame of 4 hours

If Max takes 0 minute to arrive to the venue, he starts at 8:00 PM.
If he takes 10 minutes to arrive, he starts at 8:10PM.
If he takes 236 minutes or more to arrive?

Answer 6

you'd still have to solve the quadratic equation... and the answer will be a list of values depending on p.
Idk if it's correct, but I got 9 if p is minimally small .

Answer 7

Bob_Li
Yeah, P minutes has a big impact, and I solved it with Excel.
I think Max can cook an instance noodle and finish it before step into the venue, yet still solve 9 problems if he does arrive early.

Answer 8

ok, here's a no quadratic formula solution

https://sololearn.com/compiler-playground/cYdL5iCBVOI8/?ref=app

Answer 9

solution using cmath for quadratic formula proposed by AI.

https://sololearn.com/compiler-playground/cZX8HN3CbGV8/?ref=app

Answer 10

Not sure is it a good idea or not, since you already posted your code, I post my too with a different solution.

I think our solutions works, unless OP is concerning the "return" part, as we didn't defined any function.

https://sololearn.com/compiler-playground/c1I5m1GjZ7im/?ref=app

Answer 11

Bob_Li sorry Didn't notice

Answer 12

I need answer for this question

Answer 13

Bob_Li
Actually, I'm confused why a quadratic equation is needed.
It is my Excel solution less than 1 minute, nothing fancy.

https://i.ibb.co/RQTndRV/time.jpg

I guess AI purpose a complicated solution due to the training material, which quantity over quality...

Answer 14

Wong Hei Ming

x*(x+1) = (480 - 2*p)/5

is a quadratic equation...

x² + x - (489-2p)/5 = 0

AI gave me that, which is surprising. So maybe some of the training data might have used the equation. It also knows how to simplify the arithmetic series

5*1 + 5*2 + ... + 5*x
to
5*(1+2+...+x)
to
5*x*(x+1)/2

Answer 15

Arjuna Prasad
Not meant to be rude, but please don't randomly add unrelated codes in other people's Q&A topic. It confuses people and is not helpful at all.