Package g1301_1400.s1320_minimum_distance_to_type_a_word_using_two_fingers

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    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 <code>(x<sub>1</sub>, y<sub>1</sub>)</code> and <code>(x<sub>2</sub>, y<sub>2</sub>)</code> is <code>|x<sub>1</sub> - x<sub>2</sub>| + |y<sub>1</sub> - y<sub>2</sub>|</code>.

    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 &lt;= word.length &lt;= 300

    • word consists of uppercase English letters.

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer minimumDistance(String word)

      • Methods inherited from class java.lang.Object

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