public class Solution
extends Object
576 - Out of Boundary Paths\.
Medium
There is an `m x n` grid with a ball. The ball is initially at the position `[startRow, startColumn]`. You are allowed to move the ball to one of the four adjacent cells in the grid (possibly out of the grid crossing the grid boundary). You can apply **at most** `maxMove` moves to the ball.
Given the five integers `m`, `n`, `maxMove`, `startRow`, `startColumn`, return the number of paths to move the ball out of the grid boundary. Since the answer can be very large, return it **modulo** 109 + 7
.
**Example 1:**

**Input:** m = 2, n = 2, maxMove = 2, startRow = 0, startColumn = 0
**Output:** 6
**Example 2:**

**Input:** m = 1, n = 3, maxMove = 3, startRow = 0, startColumn = 1
**Output:** 12
**Constraints:**
* `1 <= m, n <= 50`
* `0 <= maxMove <= 50`
* `0 <= startRow < m`
* `0 <= startColumn < n`