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You are given an array of integers distance.

You start at point (0,0) on an X-Y plane and you move distance[0] meters to the north, then distance[1] meters to the west, distance[2] meters to the south, distance[3] meters to the east, and so on. In other words, after each move, your direction changes counter-clockwise.

Return true if your path crosses itself, and false if it does not.

 

Example 1:

Input: distance = [2,1,1,2]
Output: true

Example 2:

Input: distance = [1,2,3,4]
Output: false

Example 3:

Input: distance = [1,1,1,1]
Output: true

 

Constraints:

  • 1 <= distance.length <= 105
  • 1 <= distance[i] <= 105

class Solution { public boolean isSelfCrossing(int[] distance) { } }