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i stopped at a street corner and asked for directions to burger jack. unfortunat

ID: 3142125 • Letter: I

Question

i stopped at a street corner and asked for directions to burger jack. unfortunately, the person i asked was larry longway, whose directions are guaranteed to be too complicated. he said" you are now facing north. go straight for three blocks. turn right. go straight for five blocks. turn right.go straight for three blocks.turn right. go straight for five blocks. turn right.go straight for three blocks. turn left.go straight for one block.turn right.go straight for four blocks.turn left.go straight for two blocks.turn left.go straight for one block.turn left. go straight for five blocks and you are there." by the time i arrived, i was out of breath and burger jack was closed. please give me directions for the shortest path from my original spot to burger jack.

Explanation / Answer

Solution:

Initially you and Larry Longway are at (0, 0).

Going north for three blocks puts you at (0, 3),

Now,

Turning right and going five blocks puts you at (5, 3),

again

turning right (and, hence, facing south) and going three blocks puts you at (5, 0),

again

turning right (and, hence, facing west) and going west five blocks puts you back at (0, 0),

again

turning right (and, hence, facing north) and going straight for three blocks puts you at (0, 3),

Now this time

turning left (and, hence, facing west) and going straight for a block puts you at (-1, 3),

again

turning right (and, hence, facing north) and going straight for four blocks puts you at (-1, 7),

again

turning left (and, hence, facing west) and going straight for two blocks puts you at (-3, 7),

again

turning left (and, hence, facing south) and going straight for one block puts you at (-3, 6),

again

turning left (and, hence, facing west) and walking straight five blocks puts you at (-8, 6).

Therefore,

you should walk eight blocks east and 6 blocks south to return to the original spot.

Answer: