Give an algorithm for the following problem and determine its time complexity. Given a list of n distinct positive integers, partition the list into two sublists, each of size n/2, such that the difference between the sums of the integers in the two sublists is maximized. You may assume that n is a multiple of 2 (i.e. n is even).

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1. Design a counter which counts 0, 4, 8, 2, 6, and repeats using: 1.a using JK flip flops 1.b using T flip flops 1.c using D flip flops 2. Modify your design in question 1.a so that the circuit works according to the following function table X Y F 0 0 Clear 0 1 No Change 1 0 Parallel Loading 1 1 Count 3. Design a circuit that detects the pattern 010 in a serial input X considering: 3.a Overlapping 3.b No overlapping

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