Given a matrix consisting of characters of the type:
- Single digits
- '-'
- '+'
Find the maximum value which can be evaluated using a valid expression in the matrix.
A valid expression is defined as a contiguous array:
- Starts from any cell with a numeric value and is either in the left to right direction or in top to bottom direction.
- The final expression doesn't contain any consecutive operators. Eg. '3' '+' '-' '1' is not allowed.
Example TC:
n = 7, m = 5
matrix =
'1' '+' '3' '-' '2'
'-' '2' '+' '3' '+'
'1' '-' '4' '-' '4'
'+' '2' '-' '7' '+'
'2' '+' '5' '+' '9'
'+' '1' '+' '8' '-'
'2' '-' '0' '-' '2'
Answer: 2 + 5 + 9 = 16 evaluates to the maximum value. Hence the answer is 16.
Caution: We may have a matrix like ['4' '4' '5' '-' '-' '5' '1'], in this case we are free to take 445 or 4, 5, 5, or 44 to 45