Quickest Route
The
Problem :
Bertie Wooster is a worried man. He was sitting quietly at (0, 0) by the side of the pool, which occupies the space -1 � x � 4, 0 � y � 2, when he heard that Madeline Bassett (who, you will recall, thinks that �the stars are God�s daisy-chain�) has broken off her engagement to Gussie Fink-Nottle, and is looking for him. He needs a pretty stiff brandy and soda as soon as he can get it. Fortunately, Jeeves has just brought out a tray of drinks and put it down on a table at (3, 3).
Bertie could
(i)
amble around the pool to Jeeves, via (4, 0)
(ii)
ditto, via (-1, 0)
(iii)
splash straight across the pool to (0, 2) and then amble over to
Jeeves
(iv)
make a bee-line straight for Jeeves, along y = x,
ambling or splashing as appropriate.
He
can amble twice as fast as he can splash ...
Should he adopt plan (i), (ii), (iii) or (iv)? Or is there maybe a still better plan?
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