Question: unsigned int fun(unsigned int n) { int i, hello_fun = 0; if(n <2) return 5; for(i=0; i

unsigned int fun(unsigned int n) { int i, hello_fun = 0; if(n<2) return 5; for(i=0; i 

Which of the following recurrence relations more accurately represents the runtime of this function?

a) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = 5 + n for n 2
b) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = 5 + T(n) for n 2
c) Initial Condition: T(0) = T(1) = 5
Recurrence: T(n) = 5 + n for n 2
d) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = c1 + n for n 2
e) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = c1 + T(n) for n 2
f) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = c1 + T(n-1) for n 2
g) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = c1 + T(n-2) for n 2
h) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = c1 + n + T(n) for n 2
i) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = c1 + n + T(n-1) for n 2
j) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = c1 + n + T(n-2) for n 2
k) Initial Condition: T(0) = T(1) = c0
Recurrence: T(n) = c1 + n + 2T(n-1) for n 2

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