1165. Single-Row Keyboard π
SourceBiweekly Contest 7 Q1DifficultyEasyRating1199
Description
There is a special keyboard with all keys in a single row.
Given a string keyboard of length 26 indicating the layout of the keyboard (indexed from 0 to 25). Initially, your finger is at index 0. To type a character, you have to move your finger to the index of the desired character. The time taken to move your finger from index i to index j is |i - j|.
You want to type a string word. Write a function to calculate how much time it takes to type it with one finger.
Example 1:
Input: keyboard = "abcdefghijklmnopqrstuvwxyz", word = "cba" Output: 4 Explanation: The index moves from 0 to 2 to write 'c' then to 1 to write 'b' then to 0 again to write 'a'. Total time = 2 + 1 + 1 = 4.
Example 2:
Input: keyboard = "pqrstuvwxyzabcdefghijklmno", word = "leetcode" Output: 73
Constraints:
keyboard.length == 26keyboardcontains each English lowercase letter exactly once in some order.1 <= word.length <= 104word[i]is an English lowercase letter.
Solutions
Solution 1: Hash Table or Array
Thinking
Each move costs the absolute index difference on the keyboard. Map characters to positions, start at index \(0\), add \(|\textit{pos}[c]-i|\) and move the finger. There is no need to scan the keyboard string on every letter.
We can use a hash table or an array \(\textit{pos}\) of length \(26\) to store the position of each character on the keyboard, where \(\textit{pos}[c]\) represents the position of character \(c\) on the keyboard.
Then we traverse the string \(\textit{word}\), using a variable \(i\) to record the current position of the finger, initially \(i = 0\). Each time, we calculate the position \(j\) of the current character \(c\) on the keyboard, and increase the answer by \(|i - j|\), then update \(i\) to \(j\). Continue to traverse the next character until the entire string \(\textit{word}\) is traversed.
After traversing the string \(\textit{word}\), we can get the answer.
The time complexity is \(O(n)\), and the space complexity is \(O(C)\), where \(n\) is the length of the string \(\textit{word}\), and \(C\) is the size of the character set. In this problem, \(C = 26\).
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