What is the brute force solution for Minimum Time to Type Word Using Special Typewriter?

The brute force approach for Minimum Time to Type Word Using Special Typewriter is Brute Force, with O(n²) time complexity and O(1) space complexity. The brute force approach involves calculating the time taken to move the pointer to each character in the word and type it. We check both clockwise and counterclockwise movements for each character and sum the total time. The optimal Optimal Solution approach improves this to O(n).

What algorithm or data structure is used to solve Minimum Time to Type Word Using Special Typewriter?

Minimum Time to Type Word Using Special Typewriter uses the following concepts: String, Greedy. The recommended patterns to study are: Circular Array, Greedy Algorithms.

What are the interview tips for Minimum Time to Type Word Using Special Typewriter?

Always clarify the problem constraints and edge cases before diving into coding. Think about how to optimize your solution after implementing the brute force version. Practice explaining your thought process clearly, as communication is key in interviews.

What are common mistakes when solving Minimum Time to Type Word Using Special Typewriter?

Not considering the circular arrangement of the typewriter, leading to incorrect distance calculations. Overcomplicating the problem by trying to track every possible path instead of focusing on the minimum distance.

#1974

Minimum Time to Type Word Using Special Typewriter

Easy

StringGreedyCircular ArrayGreedy Algorithms

LeetCode ↗

Approaches

Brute ForceOptimal

Complexity Comparison

	Brute Force	Optimal Solution★
Time	O(n²)	O(n)
Space	O(1)	O(1)

💡

Intuition

Time O(n)Space O(1)

The optimal solution leverages the fact that the typewriter is circular. We only need to calculate the minimum distance to the next character efficiently, reducing unnecessary calculations.

⚙️

Algorithm

3 steps

1Step 1: Initialize total time and set the pointer to 'a'.
2Step 2: For each character in the word, calculate the distance to the next character using modulo arithmetic to handle the circular nature.
3Step 3: Add the minimum distance and 1 (for typing) to the total time, then update the pointer.

solution.py8 lines

1def minTimeToType(word):
2    total_time = 0
3    current_position = 'a'
4    for char in word:
5        distance = abs(ord(char) - ord(current_position))
6        total_time += min(distance, 26 - distance) + 1
7        current_position = char
8    return total_time

ℹ

Complexity note: The time complexity is O(n) because we only traverse the word once, calculating the distance for each character in constant time. The space complexity is O(1) since we are using a fixed amount of space regardless of input size.

1The typewriter's circular nature allows for two possible paths to each character, making it essential to calculate both distances.
2Using modulo arithmetic helps efficiently determine the shortest path between characters.

Solutions and explanations are original Tejav content. Problem titles © LeetCode — use the LeetCode button above for the full problem statement.