Talk:2021 Fall AMC 12B Problems/Problem 17
Solution 3
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Use generating function, define be
ways for the end point be
unit away from the origins.
$$ (Error compiling LaTeX. Unknown error_msg)
Therefore,
if the current point is origin, need to
\\if the current point on vertex of the unit hexagon, need to
, where there is one way to return to the origin and there are two ways to keep distance = 1
\\Now let's start
\\init ;
\\1st step:
\r\n
\\2nd step:
\\3rd step:
\\4th step:
\\5th step:
\\So there are ways for the bug never moves more than 1 unit away from orign, and
% \\-wwei.yu \end{left}