{ "data": { "question": { "questionId": "805", "questionFrontendId": "789", "categoryTitle": "Algorithms", "boundTopicId": 1476, "title": "Escape The Ghosts", "titleSlug": "escape-the-ghosts", "content": "
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.
\n\nYou 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.
\n\nReturn true
if it is possible to escape regardless of how the ghosts move, otherwise return false
.
\n
Example 1:
\n\n\nInput: ghosts = [[1,0],[0,3]], target = [0,1]\nOutput: true\nExplanation: 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.\n\n\n
Example 2:
\n\n\nInput: ghosts = [[1,0]], target = [2,0]\nOutput: false\nExplanation: You need to reach the destination (2, 0), but the ghost at (1, 0) lies between you and the destination.\n\n\n
Example 3:
\n\n\nInput: ghosts = [[2,0]], target = [1,0]\nOutput: false\nExplanation: The ghost can reach the target at the same time as you.\n\n\n
\n
Constraints:
\n\n1 <= ghosts.length <= 100
ghosts[i].length == 2
-104 <= xi, yi <= 104
target.length == 2
-104 <= xtarget, ytarget <= 104
你在进行一个简化版的吃豆人游戏。你从 [0, 0]
点开始出发,你的目的地是 target = [xtarget, ytarget]
。地图上有一些阻碍者,以数组 ghosts
给出,第 i
个阻碍者从 ghosts[i] = [xi, yi]
出发。所有输入均为 整数坐标 。
每一回合,你和阻碍者们可以同时向东,西,南,北四个方向移动,每次可以移动到距离原位置 1 个单位 的新位置。当然,也可以选择 不动 。所有动作 同时 发生。
\n\n如果你可以在任何阻碍者抓住你 之前 到达目的地(阻碍者可以采取任意行动方式),则被视为逃脱成功。如果你和阻碍者 同时 到达了一个位置(包括目的地) 都不算 是逃脱成功。
\n\n如果不管阻碍者怎么移动都可以成功逃脱时,输出 true
;否则,输出 false
。
示例 1:
\n\n\n输入:ghosts = [[1,0],[0,3]], target = [0,1]\n输出:true\n解释:你可以直接一步到达目的地 (0,1) ,在 (1, 0) 或者 (0, 3) 位置的阻碍者都不可能抓住你。 \n\n\n
示例 2:
\n\n\n输入:ghosts = [[1,0]], target = [2,0]\n输出:false\n解释:你需要走到位于 (2, 0) 的目的地,但是在 (1, 0) 的阻碍者位于你和目的地之间。 \n\n\n
示例 3:
\n\n\n输入:ghosts = [[2,0]], target = [1,0]\n输出:false\n解释:阻碍者可以和你同时达到目的地。 \n\n\n
\n\n
提示:
\n\n1 <= ghosts.length <= 100
ghosts[i].length == 2
-104 <= xi, yi <= 104
target.length == 2
-104 <= xtarget, ytarget <= 104
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