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.
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.
- A board that redirects the ball to the right spans the top-left corner to the bottom-right corner and is represented in the grid as
1
. - A board that redirects the ball to the left spans the top-right corner to the bottom-left corner and is represented in the grid as
-1
.
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.
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.
Input: 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]] Output: [1,-1,-1,-1,-1] Explanation: This example is shown in the photo. Ball b0 is dropped at column 0 and falls out of the box at column 1. Ball b1 is dropped at column 1 and will get stuck in the box between column 2 and 3 and row 1. Ball b2 is dropped at column 2 and will get stuck on the box between column 2 and 3 and row 0. Ball b3 is dropped at column 3 and will get stuck on the box between column 2 and 3 and row 0. Ball b4 is dropped at column 4 and will get stuck on the box between column 2 and 3 and row 1.
Input: grid = [[-1]] Output: [-1] Explanation: The ball gets stuck against the left wall.
Input: 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]] Output: [0,1,2,3,4,-1]
m == grid.length
n == grid[i].length
1 <= m, n <= 100
grid[i][j]
is1
or-1
.
impl Solution {
pub fn find_ball(grid: Vec<Vec<i32>>) -> Vec<i32> {
let n = grid[0].len();
let mut answer = (0..n as i32).collect::<Vec<_>>();
for row in &grid {
for ball in 0..n {
if answer[ball] != -1 {
if row[answer[ball] as usize] == 1
&& answer[ball] + 1 < n as i32
&& row[answer[ball] as usize + 1] == 1
{
answer[ball] += 1;
} else if row[answer[ball] as usize] == -1
&& answer[ball] > 0
&& row[answer[ball] as usize - 1] == -1
{
answer[ball] -= 1;
} else {
answer[ball] = -1;
}
}
}
}
answer
}
}