Managing empty values within a two-dimensional array

Exploring an out of bounds check issue, I'm struggling with managing undefined values within a 2d array.

My attempted solutions include verifying if both the column and row index are present using if(!arr[x][y]), checking if both are undefined with if(arr[x][y] === undefined), and finally ensuring that the indexes are within range (the array is 10x10).

Unfortunately, none of these approaches have been successful. Even when combining the conditions, I still encounter

TypeError: Cannot set property '' of undefined
.

Is there a workaround for this situation?

Edit:

The TypeError occurs at

if (arr[x + i * dx][y + i * dy] === undefined)
, specifically at [y + i * dy] where x and y represent the column and row indexes, while dx and dy are either 0 or 1 to enable vertical or horizontal checks.

No errors are encountered when verifying vertically, only horizontally triggers the TypeError.

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