10 foods account for half of heart & diabetes deaths?

It seems that the number 10 is the new nice round number. Not 5-a-day, but 10-a-day last week. This week the headlines were about 10 foods linked to half of heart, stroke and diabetes (type 2) deaths.

The original study can be seen here (abstract only, but I’ve got the full PDF). Typical headlines were as follows: “Poor diet tied to nearly half of U.S. deaths from heart disease, stroke, diabetes” and “These 10 Foods Affect Your Risk of Heart Disease the Most”.

So what were these 10 foods and how did researchers arrive at the claim that they affect half of deaths from two of our biggest killers diseases (cardiovascular disease and diabetes)?