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### Problem 761

Posted: **Wed Jul 14, 2021 8:41 pm**

by **david-kerr**

This problem is driving me up the walls. I fairly easily got 4.60339314 for the circular pool (which is correct) but the same strategy gives 5.90143057 for the square pool. Can someone please confirm that the figure given in the problem for the square pool is correct.

### Re: Problem 761

Posted: **Thu Jul 15, 2021 2:22 am**

by **brob26**

david-kerr wrote: ↑Wed Jul 14, 2021 8:41 pm
This problem is driving me up the walls. I fairly easily got 4.60339314 for the circular pool (which is correct) but the same strategy gives 5.90143057 for the square pool. Can someone please confirm that the figure given in the problem for the square pool is correct.

What exactly do you mean by the "same strategy" between the circle and square cases? It'll likely be valuable to figure out why your supposed solution for the square pool does not actually work.

### Re: Problem 761

Posted: **Fri Jul 16, 2021 9:03 am**

by **david-kerr**

I think I have spotted my stupidity. An improved strategy for the runner.

### Re: Problem 761

Posted: **Sun Jul 18, 2021 8:35 pm**

by **Kaladin1**

I've had a similar problem, but I got a strategy that appears to work for any v<5.82842 (3+sqrt(8)) for the square pool.

The strategy accounts for any actions by the runner, and I'm really struggling to find any errors in my reasoning. Are we sure that v_{square} is 5.78859314.

### Re: Problem 761

Posted: **Mon Jul 19, 2021 12:14 pm**

by **Kaladin1**

Nevermind, I have seen my mistake.