1 Pipe matrix You are given the type type pipe= LeftRight | UpDown | DownRight | DownLeft Up Right UpDownRight | DownLeftRight;; Each of the cases represent one of the following characters (in the same order): let chars=[ |"\u{02550}";"\u{02551}";"\u{0255 4}";"\u{02557}";"\u{0255A}"; "\u{02560}"; "\u{02566}"|]; ; Note that these wont print via print_string in older OCaml versions, but they work in https://try.ocamlpro.com/. a. Write a function \(\verb+getleaks: pipe array array -> (int * int) list = +\) whose input is a rectangular pipe matrix. The pipe at (0,0) has flow and spreads it through the neighboring pipes if the corresponding pipes match / characters visually match. Note that the lack of an "UpLeft" piece implies there are no cycles and the flow can essentially only move right or down, however it can split into multiple streams. The functions should print the original matrix via the corresponding characters, followed by printing the pipes with flow, replacing pipes without flow with \(\verb+"\u{2588}"+\). A leak happens at (i,j), if a pipe at (i,j) has flow and attempts to spread it to a neighboring pipe that cannot receive flow from such direction (disregarding pipes that exit the matrix). Return the locations of leaks as a list of pairs (in any order). getleaks pl ;; 1}}} === - : (int * int) list = [(1, 0); (1, 2); (3, 5); (1, 5)] getleaks p2 ;; ל ל י =H - : (int * int) list = [(3, 3); (2, 2); (1, 1); (2, 3); (0, 2)]

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