Chessboard Colouring

Probability Level 3

How many different colorings of a 10×1010 \times 10 square grid are there such that the following 2 conditions are met?

  1. Each square must be either black or white.
  2. Each 2×22 \times 2 square in the grid must contain an odd number of 1×11 \times 1 black squares.

An example of how the grid can be colored An example of how the grid can be colored

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