If I have a point lie on an edge of triangle, then move it by very small distance, is it considered inside the triangle

After the contest the problem description was changed (as I found out). The new requirement was added:
"The distance between any new point and given triangle sides must be at least 0.1"

When I was solving this problem during the contest this requirement was absent. So I didn't get AC

This requirement WAS there during the contest (at least, when I was solving the problem in the first two hours of the contest). Probably, you didn't notic it.