2210212
By Ankur Mehta

This puzzle is derived from the popular game 2048, with some key difference. Each cell that spawns in the highest level 4x4 grid reveals itself to be a 3x3 grid, and similarly each cell in the 3x3 grid spawns a 2x2 grid. Each starting cell in every 2x2 grid is populated with either a 0, 1, or 2. This might suggest ternary numbers, which is confirmed by the title 2210212, which is the base-3 representation of the number 2048.

Observing the initial states of the nested grids soon reveals a pattern.

For a given square in the 4x4 grid, each cell of the resulting 3x3 grid always spawns the same 2x2 grid [ with the top-left cell always containing a 0 ]. The initial state of that 2x2 grid can be read off as a ternary number between 1 and 26 and thereby mapped to a letter. The letters thus formed by the 8 border squares in the 3x3 grid, when read clockwise from top-left, form an 8 letter word. Similarly in the same manner each of the 12 border squares in the 4x4 grid spells a different 8 letter word which can be read off clockwise from top-left to yield the phrase:

hitmovie
starring
leonardo
dicaprio
relating
outcomes
suffered
planting
thoughts
insideof
dreaming
citizens

This clues INCEPTION, the answer to the puzzle.