Having a graph add digits to rise

I have a field of data that I want charted. As the attachment shows, some cells in the area have a digit (marked red). Now, I would like to chart this data with a line graph so that the line starts at the bottom left and then rises as the digits are added up as it goes along. Where the colums have no digits the line would go horizontal (as there will be nothing to add or subtract). Eventually the line will end up in the upper right corner having added all 36 digits. Hopefully that was somewhat understandable. I would appreciate it