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( 1 0 points ) Construct a Turing Machine ( using a transition graph ) that computes the function f ( n ) = n

(10 points) Construct a Turing Machine (using a transition graph) that computes the
function f(n)=n-3 if n3 and f(n)=0 for n=0,1,2,dots (for all nonegative
integers). You may assume that the tape input is in unary notation.
f(n)={n-3,ifn30,if0n3
Example 1:
n=5,w(n)=11111
Input w(n)
Output w(n-3)
Computation
q0w(n)|--?*w(n-3)qa
Example 2:
n=2,w(n)=11
Input w(n)
Output w(0)
Computation
q0w(n)|--?*w(0)qb
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