reference book

Question

Evaluate the time complexity of following recurrence relation:

    T(x,c) = Θ(x)                         for c<=2
    T(c,x) = Θ(y)                         for c<=2
    T(x,y) = Θ(x+y) + T(x/2,y/2) otherwise

Comments

what values can x and y have ?

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that's the actual question was given on internet

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Ɵ(x+y) is what i got. is it correct?