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Consider a set G consisting of m integers.
a) Design an algorithm that finds and gives as output the k smallest numbers of the whole G sorted in ascending order and has time complexity O(m*lg(m)) and spatial complexity O(m).
Note: lg denote the logarithm base 2.
b) Design an algorithm that solves the above problem using a mandatory heap and has time complexity O(m + k*lg(m)) and space complexity O(m).
In response give either pseudocode or the description of the steps of the algorithm and justify the complexities.
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1 consider searching algorithms on the following array of datanbsp22 21 9 4 16 2 10 14 20 31 26 19 17 28 8
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