def minMax(L): n = len(L) counter = 0 if n == 0: return elif n == 1: min = max = L[0] elif n == 2: # 1 compare for 2 elements counter +=1 if L[0] < L[n-1]: min = L[0] max = L[n-1] else: min = L[n-1] max = L[0] else: # 1 compare between 1st and last element counter +=1 if L[0] < L[n-1]: min = L[0] max = L[n-1] else: min = L[n-1] max = L[0] mid = int((n-2)/2) + ((n-2) % 2 > 0) for i in range (1,mid+1): # maximum 3 compares for any 2 elements counter += 1 if L[i] < L[n-i-1]: counter += 1 if L[i] < min: min = L[i] counter += 1 if L[n-i-1] > max: max = L[n-i-1] else: counter += 1 if L[n-i-1] < min: min = L[n-i-1] counter += 1 if L[i] > max: max = L[i] print "\noriginal list: " , str(L)[1:-1] print "min: " , min print "max: " , max print "Length of list: " , n print "total comparisons: ", counter , "\n" def main(): minMax([9, 3, 5, 10, 1, 7, 12]) #minMax([5,78,99,4,890,76543,8]) #minMax([9, 3, 5, 10, 1, 7]) #minMax([1, 3, 5, 8, 4, 10]) #minMax([10, 3, 5, 8, 7, 1]) #minMax([4, 3, 5, 1, 7, 10]) minMax([9, 3, 5, 10, 1, 7 , 5,78,99,4,890,76543,8,67,89,34,2,1,6,7,0,56,58]) minMax([]) minMax([3]) minMax([5,4]) minMax([5,4,3]) if __name__ == "__main__": main()
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