# 0789. Escape The Ghosts

<https://leetcode.com/problems/escape-the-ghosts>

## Description

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.
```

**Example 4:**

```
**Input:** ghosts = [[5,0],[-10,-2],[0,-5],[-2,-2],[-7,1]], target = [7,7]
**Output:** false
```

**Example 5:**

```
**Input:** ghosts = [[-1,0],[0,1],[-1,0],[0,1],[-1,0]], target = [0,0]
**Output:** true
```

**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`

## ac

```java
```
