Now you have an idea about how to solve the coding challenges (or at least) how they are structured, read and solved. Probably you noticed that it is easy to follow through the steps if you stick to the
framework to solve coding challenges. So let’s see the second challenge
Note: remember that at this point you should know about the basis of Ruby and Data Structures.
Challenge #2
Given two non-empty arrays of integers, write a function that determines whether the second array is a subsequence of the first one.
A subsequence of an array is a set of numbers that aren’t necessarily adjacent in the array but that are in the same order as they appear in the array. For instance, the numbers [1, 2, 3] for a sequence of the array [1, 2, 3, 4], and so do the numbers [2, 4]. Note that a single number in an array itself are both valid sequences of the array
Expected Results
As you will see the expected results talk by themselves and can explain the expected behavior of your algorithm. When we see different inputs you have to return the output accordingly.
Sample Input
Array = [5, 1, 22, 25, 6, -1, 8, 10]
Sequence = [1, 6, -1, 10]
Sample Output
true
----------------------------------
Sample Input
Array = [5, 1, 22, 25, 6, -1, 8, 10]
Sequence = [5, 1, 22, 25, 6, -1, 8, 10]
Sample Output
true
----------------------------------
Sample Input
Array = [5, 1, 22, 25, 6, -1, 8, 10]
Sequence = [22, 25, 6]
Sample Output
true
----------------------------------
Sample Input
Array = [1, 1, 1, 1, 1],
Sequence = [1, 1, 1]
Sample Output
true
----------------------------------
Sample Input
Array = [5, 1, 22, 25, 6, -1, 8, 10],
Sequence = [1, 6, -1, -1]
Sample Output
false
----------------------------------
Sample Input
Array = [5, 1, 22, 25, 6, -1, 8, 10],
Sequence = [1, 6, -1, 5]
Sample Output
false
As you can see, we have a bit more examples to test in this challenge. Some of them should return true while others should return false. It depends on the sequence.
Following the Framework to Solve Coding Challenges
- - Use an online stopwatch
- - Read carefully the problem
- - Never try to see the result until you try it by yourself.
- - What's the expected output from the challenge?
- - Did I solve a similar problem before? How?
- - Start your own documentation or cheatsheet
- - Solve problem first in a paper or a whiteboard
- - Start using the Ruby Interactive Console (IRB) or the text editor
- - Solve it first via "brute force"
- - Review the time & space complexity
Please take your time to do it by yourself now...
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Our solution
Remember that there are always different ways to solve the same problem. So it is probably that you solved it with a different approach and that's ok, even that what matters: “you solve it”. Now let’s check this solution
def is_valid_sequence(array, sequence)
sequence_arr = []
original_sequence_length = sequence.length
# O(n*m) Time | O(n*m) Space
sequence.each do |i|
array.each do |x|
if x == i
sequence_arr << true
next_position_array = array.index(x) + 1
next_position_sequence = sequence.index(i) + 1
p array = array[next_position_array..-1]
p sequence = sequence[next_position_sequence..-1]
# break
end
end
end
return sequence_arr.length == original_sequence_length ? true : false
end
p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [1, 6, -1, 10])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [5, 1, 22, 25, 6, -1, 8, 10])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [5, 1, 22, 6, -1, 8, 10])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [22, 25, 6])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [1, 6, 10])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [5, 1, 22, 10])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [5, -1, 8, 10])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [25])
# p is_valid_sequence([1, 1, 1, 1, 1], [1, 1, 1])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [5, 1, 22, 25, 6, -1, 8, 10, 12])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [4, 5, 1, 22, 25, 6, -1, 8, 10])
# p is_valid_sequence([5, 1, 22, 25, 6, -1, 8, 10], [5, 1, 22, 23, 6, -1, 8, 10])
Take a time while you try to figure out what's happening here. You should know what we’re doing here
Next step should be to refactor a while or even rethink the solution to have better code. You can start figuring out other kinds of solutions and that’s ok. However for now is enough to continue
I hope you learned a lot with this excescrise and let’s keep our progress
Thanks for reading
DanielM