The 5*5 grid shown contains a collection of squares with sizes from 1*1 to 5*5. How many of these squares contain the black square?
1*1 squares: only 1
2*2 squares: the black square could either go top left, top right, bottom left, or bottom right, so 4
3*3 squares: also 4, since 5 of the squares would go off-screen
4*4 squares: there is only a total of 4 4*4 squares in the 5*5 square, and all 4 of them contains the black square
5*5 square: only 1 and contains all the squares
1 + 4 + 4 + 4 + 1 = 14
