Reference no: EM131182162
Problem 1:
Write the function insertion_sort(a) that takes an array of numbers and returns an array of the same values in nondecreasing order, without modifying a.
Your function should use the insert function written in the previous problem.
>> b = Array.new(12) {Random.rand(100)}
=> [30, 81, 43, 95, 24, 38, 64, 56, 74, 70, 33, 60]
>> insertion_sort(b)
=> [24, 30, 33, 38, 43, 56, 60, 64, 70, 74, 81, 95] >> b
=> [30, 81, 43, 95, 24, 38, 64, 56, 74, 70, 33, 60]
>> insertion_sort(b) == b.sort
=> true
Problem 2:
The factorial of an integer n is defined fact(n)=n!=n?(n-1)?(n-2)???1.
Define five different versions of the function fact, named fact1, ... fact5. Try to achieve significant variety among your functions.
>> fact1(5)
=> 120
>> fact2(40)
=> 815915283247897734345611269596115894272000000000
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