What is the time complexity of the following dynamic programming implementation of the boolean parenthesization problem?

int count_bool_parenthesization(char *sym, char *op)
{
      int str_len = strlen(sym);
      int True[str_len][str_len],False[str_len][str_len];
      int row,col,length,l;
      for(row = 0, col = 0; row < str_len; row++,col++)
      {
          if(sym[row] == 'T')
          {
              True[row][col] = 1;
              False[row][col] = 0;
          }
          else
          {
              True[row][col] = 0;
              False[row][col] = 1;
          }
      }
      for(length = 1; length < str_len; length++)
      {
          for(row = 0, col = length; col < str_len; col++, row++)
          {
              True[row][col] = 0;
              False[row][col] = 0;
              for(l = 0; l < length; l++)
              {
                  int pos = row + l;
                  int t_row_pos = True[row][pos] + False[row][pos];
                  int t_pos_col = True[pos+1][col] + False[pos+1][col];
                  if(op[pos] == '|')
                  {
                      False[row][col] += False[row][pos] * False[pos+1][col];
                      True[row][col] += t_row_pos * t_pos_col - False[row][pos] * False[pos+1][col];;
                  }
                  if(op[pos] == '&')
                  {
                     True[row][col] += True[row][pos] * True[pos+1][col];
                     False[row][col] += t_row_pos * t_pos_col - True[row][pos] * True[pos+1][col];
                  }
                  if(op[pos] == '^')
                  {
                     True[row][col] += True[row][pos] * False[pos+1][col] 
                                      + False[row][pos] * True[pos + 1][col];
                     False[row][col] += True[row][pos] * True[pos+1][col] 
                                       + False[row][pos] * False[pos+1][col];
                  }
              }
          }
      }
      return True[0][str_len-1];
}

A. O(1)

B. O(n)

C. O(n²)

D. O(n³)

Answer: Option D