The six sides of a convex hexagon $$A_{1}A_{2}A_{3}A_{4}A_{5}A_{6}$$ are colored red. Each of the diagonals of the hexagon is colored either red or blue. If $$N$$ is the number of colorings such that every triangle $$A_{i}A_{j}A_{k}$$, where $$1\le i<j<k\le 6$$, has at least one red side, find the sum of the squares of the digits of $$N$$.