Hermit
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After some thought, I came to the conclusion that it won't be possible to swim perpendicularly to the maniac's movement...
Most likely, the trajectory should be such that the tangent to it at any given moment passes through both characters in this problem (the girl will naturally be the point of tangency).;) An Archimedean spiral or something similar...
Regarding this answer, I can say almost the same thing as last time.
The answer cannot be considered satisfactory because it is at least very incomplete and not essential, and at least some explanations should be given as to what this will lead to.
Всё не так плохо как Вы думаете. Всё намного хуже!