Solution: Self Crossing

Explore how to determine if a path crosses itself on an X-Y plane by analyzing sequential movements in north, west, south, and east directions. Understand three key cases of self crossing using distance comparisons without explicit coordinates. This lesson helps you apply mathematical conditions to solve geometry-related coding challenges efficiently.

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Statement
Solution
- Time complexity
- Space complexity

Statement

You are given an array of integers, distance, where each element represents the length of a move you will make on an X-Y plane. You start at the origin, which is point $(0, 0)$ , and move according to the array. Specifically, you move distance[0] meters north, distance[1] meters west, distance[2] meters south, distance[3] meters east, and continue this pattern in a counterclockwise direction. Each step follows the sequence—north, west, south, east—repeating as long as there are remaining distances in the array.

Your task is to determine whether this path crosses itself at any point. This means checking whether you revisit any previously visited position (including the origin or any other point) at any step. Return TRUE if the path intersects itself, and FALSE otherwise.

Constraints: ...