Problem Description
Given a string text containing words separated by a single space and a string brokenLetters representing distinct letters that are not working on a keyboard, determine the number of words from text that can be typed completely without using any of the brokenLetters.
Key Insights
- Use a set to store the broken letters for efficient lookup.
- Split the input text into words using the space delimiter.
- For each word, check if it contains any letter from the broken set.
- Count the words that do not include any broken letter.
Space and Time Complexity
Time Complexity: O(n) where n is the total number of characters in text.
Space Complexity: O(b) where b is the number of broken letters, which is bounded by 26.
Solution
We iterate through each word in the provided text and determine if the word can be typed using the keyboard by checking if any of its letters are present in the set of broken letters. If none of the letters are broken, we increment our count. We use a set data structure for the broken letters which provides O(1) lookup time, making our solution efficient.