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Path Crossing

Given a string path, where path[i] = 'N', 'S', 'E' or 'W', each representing moving one unit north, south, east, or west, respectively.

Given a string path, where path[i] = 'N', 'S', 'E' or 'W', each representing moving one unit north, south, east, or west, respectively. You start at the origin (0, 0) on a 2D plane and walk on the path specified by path.

Return true if the path crosses itself at any point, that is, if at any time you are on a location you have previously visited. Return false otherwise.

Path Crossing diagram

Example 1

Input: path = "NES"

Output: false

Explanation: Notice that the path doesn't cross any point more than once.

Example 2

Input: path = "NESWW"

Output: true

Explanation: Notice that the path visits the origin twice.

Constraints

  • 1 <= path.length <= 10^4
  • path[i] is either 'N', 'S', 'E', or 'W'.

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