MediumNo. 0789

Escape The Ghosts — LeetCode 789 Python Solution

Topics
Array, Math
Reading time
2 min

The problem

You are playing a simplified PAC-MAN game on an infinite 2-D grid. You start at the point [0, 0], and you are given a destination point target = [xtarget, ytarget] that you are trying to get to.

Example

Input
ghosts = [[1,0],[0,3]], target = [0,1]
Output
true
Explanation
You can reach the destination (0, 1) after 1 turn, while the ghosts located at (1, 0) and (0, 3) cannot catch up with you.

Python solution

PythonSolution
class Solution:
    def escapeGhosts(self, ghosts: List[List[int]], target: List[int]) -> bool:
        tx, ty = target
        return all(abs(tx - x) + abs(ty - y) > abs(tx) + abs(ty) for x, y in ghosts)

Complexity

Time
O(n) or O(1)
Space · auxiliary
O(1)

Pattern: Math and Number Theory

Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 789. Escape The Ghosts is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Math.

The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.

Related problems

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0335Self CrossingHard
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Frequently asked questions

How hard is LeetCode 789. Escape The Ghosts?

LeetCode 789. Escape The Ghosts is rated Medium on LeetCode.

What topics does LeetCode 789. Escape The Ghosts cover?

LeetCode 789. Escape The Ghosts is tagged Array and Math on LeetCode.

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