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g0701_0800.s0789_escape_the_ghosts.readme.md Maven / Gradle / Ivy

789\. Escape The Ghosts

Medium

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. There are several ghosts on the map with their starting positions given as a 2D array `ghosts`, where ghosts[i] = [xi, yi] represents the starting position of the ith ghost. All inputs are **integral coordinates**.

Each turn, you and all the ghosts may independently choose to either **move 1 unit** in any of the four cardinal directions: north, east, south, or west, or **stay still**. All actions happen **simultaneously**.

You escape if and only if you can reach the target **before** any ghost reaches you. If you reach any square (including the target) at the **same time** as a ghost, it **does not** count as an escape.

Return `true` _if it is possible to escape regardless of how the ghosts move, otherwise return_ `false`_._

**Example 1:**

**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. 

**Example 2:**

**Input:** ghosts = [[1,0]], target = [2,0]

**Output:** false

**Explanation:** You need to reach the destination (2, 0), but the ghost at (1, 0) lies between you and the destination. 

**Example 3:**

**Input:** ghosts = [[2,0]], target = [1,0]

**Output:** false

**Explanation:** The ghost can reach the target at the same time as you. 

**Constraints:**

*   `1 <= ghosts.length <= 100`
*   `ghosts[i].length == 2`
*   -104 <= xi, yi <= 104
*   There can be **multiple ghosts** in the same location.
*   `target.length == 2`
*   -104 <= xtarget, ytarget <= 104