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#601
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In short, I don't know how it is with tangents, but if the girl swims north, gradually shifting to the left (assuming the maniac is on the southern side of the lake and started moving counterclockwise), describing an Archimedean spiral so that by the time she lands, she ends up in the south, then she will travel a distance less than a quarter of a circle (calculated using the formula). Accordingly, the maniac with his 4x speed will not have time to complete a full circle.

Something like that...

Ничто не возникает из ничего и ничто не пропадает бесследно.
Если где-то чего-то убудет, то в другом месте добавится.

(Закон сохранения).