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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.

For example :

If we are given an array ARR=[1,2,3] then the power set P(ARR) of the set ARR is: [ [], [1], [2], [1,2], [3], [1,3], [2,3], [1,2,3] ]

Note :

For every subset 'X' present in power set P(ARR) of set ARR, X must be sorted i.e. in the example above:
P1(ARR) =  [ [], [1], [2], [1,2], [3], [1,3], [2,3], [1,2,3] ]
P2(ARR) =  [ [], [1], [1,2,3], [2], [1,2], [3], [1,3], [2,3] ]
P3(ARR) =  [ [], [1], [2], [1,2], [3], [1,3], [2,3], [2,3,1] ]
P1(ARR) and P2(ARR) will be considered correct power sets but P3(ARR) will not be considered correct because there the last subset [2, 3, 1] is not sorted.

We are suffering from the Second wave of Covid-19. The Government is trying to increase its vaccination drives. Ninja wants to help the Government to plan an effective method to help increase vaccination following safety measures. Time is running out. Can you help the nation?

You are given two positive integers: ‘n,’ ‘maxVaccines’ denoting the number of days for which this vaccination drive will go on and the total number of vaccines available for the drive, respectively. You have to find the number of vaccines administered each day. You are also given a number ‘dayNumber,’ and we are interested to know the maximum number of vaccines that can be administered on ‘dayNumber’ th day.

The rules of the vaccination drive :

1. There should be a positive number of vaccines administered each day during the vaccination drive.

2. The absolute difference between the number of vaccines in two consecutive days should not exceed 1.

3. The sum of all the elements of the vaccines array does not exceed maxVaccines, that is, you cannot administer more vaccines than what is provided to you.

4. Vaccines administered on ‘dayNumber’ th day should be maximized.

Design Youtube.

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