2. Consider the following procedure, which takes a list L, ts length n < and a...

 

Transcribed Image Text:

2. Consider the following procedure, which takes a list L, ts length n< and a positive integer l as parameters function MYSTERY(L, n, l) for i from 1 to n - l + 1 do for j from i+ 1 to n-l+ 1 do matched-true for k from 0 to l - 1 do if Li+k Lj+k then matched-false end if end for if matched is still true then return (i, j) end if end for end for return reporting failure end function (a) Walk through this procedure with some examples (some promising samples might be L = [3, 1, 7, 2, 7, 2,5] with n = 7 and k = 2, or L = [1, 2, 3, 1, 2, 4, 2] with n = 6 and k = 3). What does it seem to do? When it returns an ordered pair, what information is it conveying? (b) What is the worst-case runtime of this algorithm, in big-O notation as a function of n and k? Explain your reasoning. 2. Consider the following procedure, which takes a list L, ts length n< and a positive integer l as parameters function MYSTERY(L, n, l) for i from 1 to n - l + 1 do for j from i+ 1 to n-l+ 1 do matched-true for k from 0 to l - 1 do if Li+k Lj+k then matched-false end if end for if matched is still true then return (i, j) end if end for end for return reporting failure end function (a) Walk through this procedure with some examples (some promising samples might be L = [3, 1, 7, 2, 7, 2,5] with n = 7 and k = 2, or L = [1, 2, 3, 1, 2, 4, 2] with n = 6 and k = 3). What does it seem to do? When it returns an ordered pair, what information is it conveying? (b) What is the worst-case runtime of this algorithm, in big-O notation as a function of n and k? Explain your reasoning.