Problem Statement:
Given an input string s, reverse the order of the words. A word is defined as a sequence of non-space characters. The words in s will be separated by at least one space. Return a string of the words in reverse order concatenated by a single space.
Note that s may contain leading or trailing spaces or multiple spaces between two words. The returned string should only have a single space separating the words. Do not include any extra spaces.
Example 1:
- Input: s = "the sky is blue"
- Output: "blue is sky the"
Example 2:
- Input: s = " hello world "
- Output: "world hello"
- Explanation: Your reversed string should not contain leading or trailing spaces.
Example 3:
- Input: s = "a good example"
- Output: "example good a"
- Explanation: You need to reduce multiple spaces between two words to a single space in the reversed string.
Constraints:
- 1 <= s.length <= 10^4
-
s contains English letters (upper-case and lower-case), digits, and spaces ' '.
- There is at least one word in s.
Initial Thought Process:
To solve this problem, we need to:
- Split the string into words.
- Reverse the order of the words.
- Join the words back together with a single space between each.
Basic Solution:
Code:
function reverseWordsBruteForce(s: string): string {
// Split the string by spaces and filter out empty strings
let words = s.trim().split(/\s+/);
// Reverse the array of words
words.reverse();
// Join the words with a single space
return words.join(' ');
}
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Time Complexity Analysis:
-
Time Complexity: O(n), where n is the length of the string. Splitting, reversing, and joining all take linear time.
-
Space Complexity: O(n), where n is the length of the string. We store the words in an array and the final result in a string.
Limitations:
This solution is efficient given the constraints. However, it uses additional space for the array of words.
Optimized Solution:
If the string data type is mutable and we need to solve it in-place with O(1) extra space, we can use a two-pointer technique to reverse the words within the original string.
Code:
function reverseWordsOptimized(s: string): string {
// Trim the string and convert it to an array of characters
let chars = s.trim().split('');
// Helper function to reverse a portion of the array in place
function reverse(arr: string[], left: number, right: number) {
while (left < right) {
[arr[left], arr[right]] = [arr[right], arr[left]];
left++;
right--;
}
}
// Reverse the entire array of characters
reverse(chars, 0, chars.length - 1);
// Reverse each word in the reversed array
let start = 0;
for (let end = 0; end <= chars.length; end++) {
if (end === chars.length || chars[end] === ' ') {
reverse(chars, start, end - 1);
start = end + 1;
}
}
// Join the characters back into a string and split by spaces to remove extra spaces
return chars.join('').split(/\s+/).join(' ');
}
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Time Complexity Analysis:
-
Time Complexity: O(n), where n is the length of the string. Each character is processed a constant number of times.
-
Space Complexity: O(1), as we are modifying the array in place and using only a constant amount of extra space.
Improvements Over Basic Solution:
- The optimized solution reduces space complexity by performing in-place operations on the array of characters.
Edge Cases and Testing:
Edge Cases:
- The string contains leading and trailing spaces.
- The string contains multiple spaces between words.
- The string contains only one word.
- The string length is at the minimum or maximum limit.
Test Cases:
console.log(reverseWordsBruteForce("the sky is blue")); // "blue is sky the"
console.log(reverseWordsBruteForce(" hello world ")); // "world hello"
console.log(reverseWordsBruteForce("a good example")); // "example good a"
console.log(reverseWordsBruteForce("singleWord")); // "singleWord"
console.log(reverseWordsBruteForce(" ")); // ""
console.log(reverseWordsOptimized("the sky is blue")); // "blue is sky the"
console.log(reverseWordsOptimized(" hello world ")); // "world hello"
console.log(reverseWordsOptimized("a good example")); // "example good a"
console.log(reverseWordsOptimized("singleWord")); // "singleWord"
console.log(reverseWordsOptimized(" ")); // ""
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General Problem-Solving Strategies:
-
Understand the Problem: Carefully read the problem statement to understand the requirements and constraints.
-
Identify Key Operations: Determine the key operations needed, such as splitting, reversing, and joining words.
-
Optimize for Readability: Use clear and concise logic to ensure the code is easy to follow.
-
Test Thoroughly: Test the solution with various cases, including edge cases, to ensure correctness.
Identifying Similar Problems:
-
String Manipulation:
- Problems where you need to modify strings based on specific conditions.
- Example: Reversing the order of characters in each word of a sentence.
-
Two-Pointer Technique:
- Problems where using two pointers can help optimize the solution.
- Example: Removing duplicates from a sorted array.
-
In-Place Algorithms:
- Problems where operations need to be performed in place with limited extra space.
- Example: Rotating an array to the right by k steps.
Conclusion:
- The problem of reversing words in a string can be efficiently solved using both a brute force approach and an optimized in-place approach.
- Understanding the problem and breaking it down into manageable parts is crucial.
- Using clear logic and optimizing for readability ensures the solution is easy to follow.
- Testing with various edge cases ensures robustness.
- Recognizing patterns in problems can help apply similar solutions to other challenges.
By practicing such problems and strategies, you can improve your problem-solving skills and be better prepared for various coding challenges.
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