{ "data": { "question": { "questionId": "1324", "questionFrontendId": "1706", "categoryTitle": "Algorithms", "boundTopicId": 176037, "title": "Where Will the Ball Fall", "titleSlug": "where-will-the-ball-fall", "content": "

You have a 2-D grid of size m x n representing a box, and you have n balls. The box is open on the top and bottom sides.

\n\n

Each cell in the box has a diagonal board spanning two corners of the cell that can redirect a ball to the right or to the left.

\n\n\n\n

We drop one ball at the top of each column of the box. Each ball can get stuck in the box or fall out of the bottom. A ball gets stuck if it hits a "V" shaped pattern between two boards or if a board redirects the ball into either wall of the box.

\n\n

Return an array answer of size n where answer[i] is the column that the ball falls out of at the bottom after dropping the ball from the ith column at the top, or -1 if the ball gets stuck in the box.

\n\n

 

\n

Example 1:

\n\n

\"\"

\n\n
\nInput: grid = [[1,1,1,-1,-1],[1,1,1,-1,-1],[-1,-1,-1,1,1],[1,1,1,1,-1],[-1,-1,-1,-1,-1]]\nOutput: [1,-1,-1,-1,-1]\nExplanation: This example is shown in the photo.\nBall b0 is dropped at column 0 and falls out of the box at column 1.\nBall b1 is dropped at column 1 and will get stuck in the box between column 2 and 3 and row 1.\nBall b2 is dropped at column 2 and will get stuck on the box between column 2 and 3 and row 0.\nBall b3 is dropped at column 3 and will get stuck on the box between column 2 and 3 and row 0.\nBall b4 is dropped at column 4 and will get stuck on the box between column 2 and 3 and row 1.\n
\n\n

Example 2:

\n\n
\nInput: grid = [[-1]]\nOutput: [-1]\nExplanation: The ball gets stuck against the left wall.\n
\n\n

Example 3:

\n\n
\nInput: grid = [[1,1,1,1,1,1],[-1,-1,-1,-1,-1,-1],[1,1,1,1,1,1],[-1,-1,-1,-1,-1,-1]]\nOutput: [0,1,2,3,4,-1]\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "球会落何处", "translatedContent": "

用一个大小为 m x n 的二维网格 grid 表示一个箱子。你有 n 颗球。箱子的顶部和底部都是开着的。

\n\n

箱子中的每个单元格都有一个对角线挡板,跨过单元格的两个角,可以将球导向左侧或者右侧。

\n\n\n\n

在箱子每一列的顶端各放一颗球。每颗球都可能卡在箱子里或从底部掉出来。如果球恰好卡在两块挡板之间的 \"V\" 形图案,或者被一块挡导向到箱子的任意一侧边上,就会卡住。

\n\n

返回一个大小为 n 的数组 answer ,其中 answer[i] 是球放在顶部的第 i 列后从底部掉出来的那一列对应的下标,如果球卡在盒子里,则返回 -1

\n\n

 

\n\n

示例 1:

\n\n

\"\"

\n\n
\n输入:grid = [[1,1,1,-1,-1],[1,1,1,-1,-1],[-1,-1,-1,1,1],[1,1,1,1,-1],[-1,-1,-1,-1,-1]]\n输出:[1,-1,-1,-1,-1]\n解释:示例如图:\nb0 球开始放在第 0 列上,最终从箱子底部第 1 列掉出。\nb1 球开始放在第 1 列上,会卡在第 2、3 列和第 1 行之间的 \"V\" 形里。\nb2 球开始放在第 2 列上,会卡在第 2、3 列和第 0 行之间的 \"V\" 形里。\nb3 球开始放在第 3 列上,会卡在第 2、3 列和第 0 行之间的 \"V\" 形里。\nb4 球开始放在第 4 列上,会卡在第 2、3 列和第 1 行之间的 \"V\" 形里。\n
\n\n

示例 2:

\n\n
\n输入:grid = [[-1]]\n输出:[-1]\n解释:球被卡在箱子左侧边上。\n
\n\n

示例 3:

\n\n
\n输入:grid = [[1,1,1,1,1,1],[-1,-1,-1,-1,-1,-1],[1,1,1,1,1,1],[-1,-1,-1,-1,-1,-1]]\n输出:[0,1,2,3,4,-1]\n
\n\n

 

\n\n

提示:

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