Package g3401_3500.s3443_maximum_manhattan_distance_after_k_changes

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    3443 - Maximum Manhattan Distance After K Changes.

    Medium

    You are given a string s consisting of the characters 'N', 'S', 'E', and 'W', where s[i] indicates movements in an infinite grid:

    • 'N' : Move north by 1 unit.

    • 'S' : Move south by 1 unit.

    • 'E' : Move east by 1 unit.

    • 'W' : Move west by 1 unit.

    Initially, you are at the origin (0, 0). You can change at most k characters to any of the four directions.

    Find the maximum Manhattan distance from the origin that can be achieved at any time while performing the movements in order.

    The Manhattan Distance between two cells <code>(x<sub>i</sub>, y<sub>i</sub>)</code> and <code>(x<sub>j</sub>, y<sub>j</sub>)</code> is <code>|x<sub>i</sub> - x<sub>j</sub>| + |y<sub>i</sub> - y<sub>j</sub>|</code>.

    Example 1:

    Input: s = "NWSE", k = 1

    Output: 3

    Explanation:

    Change s[2] from 'S' to 'N'. The string s becomes "NWNE".

    The maximum Manhattan distance from the origin that can be achieved is 3. Hence, 3 is the output.

    Example 2:

    Input: s = "NSWWEW", k = 3

    Output: 6

    Explanation:

    Change s[1] from 'S' to 'N', and s[4] from 'E' to 'W'. The string s becomes "NNWWWW".

    The maximum Manhattan distance from the origin that can be achieved is 6. Hence, 6 is the output.

    Constraints:

    • <code>1 <= s.length <= 10<sup>5</sup></code>

    • 0 &lt;= k &lt;= s.length

    • s consists of only 'N', 'S', 'E', and 'W'.

    • 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 maxDistance(String s, Integer k)

      • Methods inherited from class java.lang.Object

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