Skip to content

Latest commit

 

History

History

minimum-distance-to-type-a-word-using-two-fingers

Folders and files

NameName
Last commit message
Last commit date

parent directory

..
README.md
README.md
 
 

README.md

< Previous 　　　　　　　　　　　　　　　　 Next >

1320. Minimum Distance to Type a Word Using Two Fingers (Hard)

You have a keyboard layout as shown above in the X-Y plane, where each English uppercase letter is located at some coordinate.

  • For example, the letter 'A' is located at coordinate (0, 0), the letter 'B' is located at coordinate (0, 1), the letter 'P' is located at coordinate (2, 3) and the letter 'Z' is located at coordinate (4, 1).

Given the string word, return the minimum total distance to type such string using only two fingers.

The distance between coordinates (x1, y1) and (x2, y2) is |x1 - x2| + |y1 - y2|.

Note that the initial positions of your two fingers are considered free so do not count towards your total distance, also your two fingers do not have to start at the first letter or the first two letters.

 

Example 1:

Input: word = "CAKE"
Output: 3
Explanation: Using two fingers, one optimal way to type "CAKE" is: 
Finger 1 on letter 'C' -> cost = 0 
Finger 1 on letter 'A' -> cost = Distance from letter 'C' to letter 'A' = 2 
Finger 2 on letter 'K' -> cost = 0 
Finger 2 on letter 'E' -> cost = Distance from letter 'K' to letter 'E' = 1 
Total distance = 3

Example 2:

Input: word = "HAPPY"
Output: 6
Explanation: Using two fingers, one optimal way to type "HAPPY" is:
Finger 1 on letter 'H' -> cost = 0
Finger 1 on letter 'A' -> cost = Distance from letter 'H' to letter 'A' = 2
Finger 2 on letter 'P' -> cost = 0
Finger 2 on letter 'P' -> cost = Distance from letter 'P' to letter 'P' = 0
Finger 1 on letter 'Y' -> cost = Distance from letter 'A' to letter 'Y' = 4
Total distance = 6

 

Constraints:

  • 2 <= word.length <= 300
  • word consists of uppercase English letters.

Related Topics

[String] [Dynamic Programming]

Similar Questions

  1. Minimum Time to Type Word Using Special Typewriter (Easy)

Hints

Hint 1 Use dynamic programming.
Hint 2 dp[i][j][k]: smallest movements when you have one finger on i-th char and the other one on j-th char already having written k first characters from word.