Question: (a) Give the pseudo-code for a bi-directional breadth first search , and explain the data structures required for an optimal implementation. 4 marks (b) Pentominoes

  1. (a) Give the pseudo-code for a bi-directional breadth first search, and explain the data structures required for an optimal implementation.

4 marks

  1. (b) Pentominoes are connected shapes that are formed by five equal size squares that have at least one edge in common. There are 12 of these up to reflection and rotation. A well known puzzle, is given some starting arrangement of the twelve pentominoes, add the remaining pentominoes to completely fill a 10 by 6 grid, as in the picture.

Name an uninformed search algorithm to solve this problem, and justify your answer if terms of time and space complexity.

3 marks

  1. (c) Suppose we are using the A* algorithm to solve the pentominoes puzzle. Propose a heuristic for the algorithm and show that it is admissible and monotonic.

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