it easy version problem the difference version node choose colorsTheofanis starving wants eat favorite food sheftalia however finish homework can help problemyou perfect binary tree 2k 1 node binary tree vertex 1 2k 1 1 exactly child vertex 2i 2i 1 vertex 2k 1 2k 1 do not child you want color vertex 6 Rubiks cube color White Green Red Blue Orange YellowLets color good edge connect node color neighboring side Rubiks cube a picture Rubiks cube 2D map more formally white node neighboring white yellow node yellow node neighboring white yellow node green node neighboring green blue node blue node neighboring green blue node red node neighboring red orange node orange node neighboring red orange node you want calculate number good coloring binary tree two coloring consider different node color different colorthe answer large output answer modulo 1097