3248. Snake in Matrix
Description
There is a snake in an n x n
matrix grid
and can move in four possible directions. Each cell in the grid
is identified by the position: grid[i][j] = (i * n) + j
.
The snake starts at cell 0 and follows a sequence of commands.
You are given an integer n
representing the size of the grid
and an array of strings commands
where each command[i]
is either "UP"
, "RIGHT"
, "DOWN"
, and "LEFT"
. It's guaranteed that the snake will remain within the grid
boundaries throughout its movement.
Return the position of the final cell where the snake ends up after executing commands
.
Example 1:
Input: n = 2, commands = ["RIGHT","DOWN"]
Output: 3
Explanation:
0 | 1 |
2 | 3 |
0 | 1 |
2 | 3 |
0 | 1 |
2 | 3 |
Example 2:
Input: n = 3, commands = ["DOWN","RIGHT","UP"]
Output: 1
Explanation:
0 | 1 | 2 |
3 | 4 | 5 |
6 | 7 | 8 |
0 | 1 | 2 |
3 | 4 | 5 |
6 | 7 | 8 |
0 | 1 | 2 |
3 | 4 | 5 |
6 | 7 | 8 |
0 | 1 | 2 |
3 | 4 | 5 |
6 | 7 | 8 |
Constraints:
2 <= n <= 10
1 <= commands.length <= 100
commands
consists only of"UP"
,"RIGHT"
,"DOWN"
, and"LEFT"
.- The input is generated such the snake will not move outside of the boundaries.
Solutions
Solution 1: Simulation
We can use two variables $x$ and $y$ to represent the position of the snake. Initially, $x =