Solution: Generate Binary Numbers From 1 to n Using a Queue
Let’s solve the Generate Binary Numbers From 1 to n Using a Queue problem.
We'll cover the following
Statement
Given a number n
, generate a list of binary numbers from n
in the form of a string using a queue.
Constraints:
n
Solution
The algorithm for generating binary numbers up to a specified count using a queue is straightforward. It begins by placing the binary number "1"
in the queue and creating an empty list to hold the generated binary numbers. In each iteration of the algorithm, a number is removed from the queue, added to the result list, and then two variations of that number are placed back into the queue by appending "0"
and "1"
. This process is repeated until the desired number of binary numbers has been generated.
Below are the detailed steps of the algorithm:
Initialize an empty list
result
to store the binary numbers, and create an empty queue namedqueue
.Enqueue the integer
1
into the queue.Start a loop that iterates
n
times, wheren
is the desired count of binary numbers. Inside the loop, perform the following steps:Dequeue an element from the queue, convert it to a string, and append it to the
result
list.Create two new strings,
s1
ands2
, by appending"0"
and"1"
respectively, to the dequeued string.Enqueue
s1
ands2
back into the queue.
After the loop completes, return the
result
list containing the generated binary numbers.
Let’s look at the illustration below to better understand the solution:
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