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You are given an integer array arr. Sort the integers in the array in ascending order by the number of 1's in their binary representation and in case of two or more integers have the same number of 1's you have to sort them in ascending order.

Question

You are given an integer array arr. Sort the integers in the array in ascending order by the number of 1's in their binary representation and in case of two or more integers have the same number of 1's you have to sort them in ascending order.

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Solution

Here is a step-by-step guide on how to solve this problem in Python:

  1. First, you need to define a function that will count the number of 1's in the binary representation of a number. You can use the built-in bin function to convert the number to binary, and then count the 1's using the count method.
def count_ones(n):
    return bin(n).count('1')
  1. Next, you need to sort the array. Python's built-in sorted function can take a key argument, which is a function that will be used to determine the sort order. You can use the count_ones function as the key.
arr = sorted(arr, key=count_ones)
  1. However, this will only sort the numbers by the number of 1's in their binary representation. If two numbers have the same number of 1's, you need to sort them in ascending order. To do this, you can modify the key function to return a tuple. The sorted function will first sort by the first element of the tuple, and then by the second element.
arr = sorted(arr, key=lambda x: (count_ones(x), x))
  1. Finally, return the sorted array.
return arr

Here is the complete code:

def sortByBits(arr):
    def count_ones(n):
        return bin(n).count('1')

    arr = sorted(arr, key=lambda x: (count_ones(x), x))
    return arr

This function will sort the array in ascending order by the number of 1's in the binary representation of each number, and in case of a tie, it will sort the numbers in ascending order.

This problem has been solved

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