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Q7. (a) Calculate the following values of the neighbourhood state coun ing function

`N_(t)^(a)(x,y)`

for the two-dimensional cellular automato shown: (i)

`N_(0)^(1)(1,1)`

(ii)

`N_(0)^(1)(2,1)`

(iii)

`N_(0)^(0)(4,2)`

(iv)

`N_(0)^(1)(2,2)`

. (Q7 continued next page 4 (b) Fill in the grids for times

`t=1`

and

`t=2`

using the rule:

`c_(t+1)(x,y)={(1, if N_(t)^(1)(x,y)>=2 and c_(t)(x,y)=0),(0, otherwise ):}`

\table[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]] Time

`t=0`

Time

`t=1`

Time

`t=2`