SE-SKOLORNAS 1963 Problem 5

A road has constant width. It is made up of finitely many straight segments joined by corners, where the inner corner is a point and the outer side is a circular arc. The direction of the straight sections is always between $NE$ ( $45^o$ ) and $SSE$ ( $157 1/2^o$ ). A person wishes to walk along the side of the road from point $A$ to point $B$ on the same side. He may only cross the street perpendicularly. What is the shortest route?

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