Provide a tight theoretical lower bound for the problems given below. Provide justification for your answer. a) Given a list of sizencontaining Trues and Falses, determine whether True or False is more common (or if there is a tie). b) Given a list ofnnumbers, all assumed to be integers between 1 and 100 , sort them. c) Given ann×narray whose rows are sorted (but whose columns may not be), find the largest overall entry in the array. For example, the array could look like: \[ \left(\begin{array}{ccccccccc} -2 & 4 & 7 & 8 & 10 & 12 & 20 & 21 & 50 \\ -30 & -20 & -10 & 0 & 1 & 2 & 3 & 21 & 23 \\ -10 & -2 & 0 & 2 & 4 & 6 & 30 & 31 & 35 \end{array}\right) \] This is ann×narray, withn=9(there are 3 rows and 9 columns). Each row is sorted, but the columns aren't. Please give proper explanation and typed answer only.
Provide a tight theoretical lower bound for the problems given below. Provide justification for your answer. a) Given a list of sizencontaining Trues and Falses, determine whether True or False is more common (or if there is a tie). b) Given a list ofnnumbers, all assumed to be integers between 1 and 100 , sort them. c) Given ann×narray whose rows are sorted (but whose columns may not be), find the largest overall entry in the array. For example, the array could look like: \[ \left(\begin{array}{ccccccccc} -2 & 4 & 7 & 8 & 10 & 12 & 20 & 21 & 50 \\ -30 & -20 & -10 & 0 & 1 & 2 & 3 & 21 & 23 \\ -10 & -2 & 0 & 2 & 4 & 6 & 30 & 31 & 35 \end{array}\right) \] This is ann×narray, withn=9(there are 3 rows and 9 columns). Each row is sorted, but the columns aren't.
Please give proper explanation and typed answer only.
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