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You will need to use Erlang language to solve following task: This question concerns the game of noughts and crosses. We can represent the state

You will need to use Erlang language to solve following task:

This question concerns the game of noughts and crosses. We can represent the state of a noughts and crosses board by a list of three lists, one for each line of the board. For instance, the board:

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is represented by [[x,b,b],[o,x,o],[x,b,o]] where x, b, o are atoms (and b stands for blank). (a) Define a function isxwin in Erlang that will take a line of a board and return a Boolean saying whether or not the line is a winning line of crosses, i.e. it consists of three crosses.

(b) Using your solution to (a) or otherwise, define a function linexwin in Erlang that takes a board and returns a Boolean if the board contains a winning line of crosses.

(c) Define a function pick in Erlang that takes an integer N and a list Xs and returns the Nth element of the list, starting counting from 0. For example pick(0,[a,b,c]) = a pick(2,[a,b,c]) = c You can assume that the function is called with a value of N that makes sense for Xs (in the case of the list [a,b,c] it is 0, 1 or 2).

(d) Using your answer to (c) or otherwise, define a function wincol in Erlang that takes a board and returns true if the board contains a winning column. For example, the board shown at the start of the question does not contain a winning column, but the board [[x,o,b],[o,o,x],[x,o,o]] does (the middle column is a win for o).

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