Mr. A writes an article. The article originally is error free. Each day Mr. B introduces one new error into the article. At the end of the day, Mr. A checks the article and has `(2)/(3)` chance of catching each individual error still in the article. After 3 days, the probability that the article is error free can be expressed as `(p)/(q)` where p and q are relatively prime positive integers. Let `lambda=q-p`, then find the sum of the digits of `lambda`.

Answer

7