# (Homework Solution): 14. (6 points) Consider the following code fragment where S is used to represent a

in Python

14. (6 points) Consider the following code fragment where S is used to represent a disjoint set forest. Show the configuration of the S after the code is executed. int [] S = new int [9]; initialize(S); for (int į-1;jcs.length ; İ”1+2) union(S,1,1-1); 15. (14 points) Write a method that receives a disjoint set forest S that was created using union-by beight and prints the number of sets encoded by S and the length of the longest path in S. 10. (14 points) Write a method that receives integers n and k and builds and returns a disjoint set forest encoding n sets, each with k elements. Thius the first k elements would belong to one set, the next k elements to another, and so on. For example, if your method receives n 2 and k 3, it should create s-n {(0,1,2), {3,4,5)); if it receives n a 3 and k 2, it should create S-((0, i }.(2,3). [4,5)) and if it receives n 3 and k 1 it should create S t(0),(), (2)

Question 14 – is bit puzzling, there is not concept of array in Python also, what the union() method does that implementation is missing in the question

Question 15 – reference to using “union-by-height” is missing in the question

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Exercise 16

def disjoint(n,k):

outer_Set=[]
index=0
for num in range(0,n):
inner_set=[]
for element in range(0,k):
inner_set.append(index)
index+=1
outer_Set.append(inner_set)

print(outer_Set)

disjoint(2,3)
disjoint(3,2)
disjoint(3,1)

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Exercise 16 : Image screenshot

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