A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every square exactly once. Use the following steps: (a) Represent the allowed moves of a knight on a 6 x 6 chessboard as a graph, from one location. Label the vertices with the location on the board. (b) Generalise this for the allowed moves from any position (c) Outline a graph algorithm to find a path of length 6x61 where every vertex on the graph is visited exactly once.

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