n is a natural number. Given 3n⋅3n table, the unit cells are colored white and black such that starting from the left up corner diagonals are colored in pure white or black in ratio of 2:1 respectively. ( See the picture below). In one step any chosen 2⋅2 square's white cells are colored orange, orange are colored black and black are colored white. Find all n such that with finite steps, all the white cells in the table turns to black, and all black cells in the table turns to white. ( From starting point) combinatoricsAzerbaijanJuniorJBMOJBMO TSTJunior Balkantable