You are given a sorted array of 'N' integers. You have to generate the power set for this array where each subset of this power set is individually sorted.A set is a well-defined collection of distinct elements. Power set P(ARR) of a set 'ARR' is defined as a set of all possible subsets of 'ARR'.You have to return the array of subsets. The elements in the subset should be sorted in ascending order. The order of subsets in the array does not matter. Hence there can be more than 1 possible solution for a given array.
Question
You are given a sorted array of 'N' integers. You have to generate the power set for this array where each subset of this power set is individually sorted.A set is a well-defined collection of distinct elements. Power set P(ARR) of a set 'ARR' is defined as a set of all possible subsets of 'ARR'.You have to return the array of subsets. The elements in the subset should be sorted in ascending order. The order of subsets in the array does not matter. Hence there can be more than 1 possible solution for a given array.
Solution
Here is a step-by-step solution to generate the power set for a sorted array of 'N' integers:
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Initialize an empty list to store the subsets. Let's call this list 'power_set'.
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Start by adding an empty set to 'power_set' as the power set of any set always includes the empty set.
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For each element in the original array, iterate through the 'power_set' and for each subset in the 'power_set', create a new subset which includes the current element from the original array.
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Add this new subset to the 'power_set'.
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Repeat steps 3 and 4 for all elements in the original array.
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At the end of this process, 'power_set' will contain all possible subsets of the original array, each subset being sorted as the original array was sorted.
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Return 'power_set' as the result.
Here is a Python code snippet that implements the above steps:
def power_set(sorted_array):
power_set = [[]]
for elem in sorted_array:
power_set += [subset + [elem] for subset in power_set]
return power_set
This function takes a sorted array as input and returns the power set of the array. The power set is represented as a list of lists, where each inner list is a subset of the original array. The subsets are sorted as the original array was sorted.
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