Package g1301_1400.s1320_minimum_distance_to_type_a_word_using_two_fingers

Class Solution

java.lang.Object
g1301_1400.s1320_minimum_distance_to_type_a_word_using_two_fingers.Solution
public class Solution extends java.lang.Object
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.

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    minimumDistance(java.lang.String word)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • minimumDistance

      public int minimumDistance(java.lang.String word)