Summary Ranges
To solve this coding challenge, we need to develop a function that takes a sorted unique integer array and returns the smallest sorted list of ranges that covers all the numbers in the array exactly. Each range should be represented as "a->b" if there's more than one number in the range, otherwise just "a".
We will walk through the logical steps to achieve this solution:
# Explanation
- Input Recognition : First, we need to check if the input array is empty. If it is, we should return an empty list immediately.
-
Initialization
: We need to initialize variables to keep track of the start and end of the current range. Initially, both
start
end
-
Iteration through the Array
: We iterate through the array starting from the second element. For each element, we check if it is exactly one greater than the current
end
end
- Range Representation : We need to determine whether to represent a range as "a" or "a->b". If the start and end of the range are the same, it's a single number range; otherwise, it spans multiple numbers.
- Final Range : After the iteration, there might be a remaining range that has not been added to the result list, so we add the final range to the list.
- Return Result : Finally, we return the constructed list of ranges.
- Check for Empty Input:
- Check if the input list is empty, and if so, return an empty list since there are no ranges to process.
- Initialize Variables:
-
Initialize an empty list
result_list
-
Set both
start
end
- Iterate Through the Array:
- Start a loop from the second element to the end of the input array.
-
If the current element is exactly one greater than
end
end
- If the current element is not consecutive, determine how to represent and add the completed range to the result list. Then, start a new range beginning with the current element.
- Add Final Range:
- After iterating through the array, add the final range (either as a single number or as a range) to the result list.
- Return Result:
- Return the list containing all the ranges formed from the input array.
Detailed Steps in Pseudocode
if input_array is empty
return empty list
result_list = empty list
start = first element of input_array
end = first element of input_array
for i from 1 to length of input_array - 1
if input_array[i] == end + 1
end = input_array[i]
else
if start == end
add start as string to result_list
else
add start + "->" + end as string to result_list
start = input_array[i]
end = input_array[i]
if start == end
add start as string to result_list
else
add start + "->" + end as string to result_list
return result_list
Pseudocode with Comments
# Check if the input array is empty
if input_array is empty:
# If empty, return an empty list
return empty list
# Initialize result list to store range outputs
result_list = empty list
# Initialize start and end to the first element
start = input_array[0]
end = input_array[0]
# Iterate from the second element to the end of the input array
for i from 1 to length of input_array - 1:
# Check if current element extends the current range
if input_array[i] == end + 1:
# Extend the current range
end = input_array[i]
else:
# Finalize the current range and add it to the result list
if start == end:
result_list append start as string
else:
result_list append start + "->" + end as string
# Start a new range
start = input_array[i]
end = input_array[i]
# Add the final range to the result list
if start == end:
result_list append start as string
else:
result_list append start + "->" + end as string
# Return the result containing all ranges
return result_list
In this highly detailed explanation and pseudocode, each step corresponds to concrete operations and logical checks designed to form the smallest sorted list of ranges from the given sorted unique integer array. Each comment explains the purpose of the code statements, ensuring clarity and completeness in understanding how to tackle this coding challenge.