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Consider the following recursive function: unsigned int foo(unsigned int n) { int i, tralalala_pointless_for_loop = 0; if (n < 2) return 5; for (i =

Consider the following recursive function: unsigned int foo(unsigned int n) { int i, tralalala_pointless_for_loop = 0; if (n < 2) return 5; for (i = 0; i < n; i++) tralalala_pointless_for_loop++; return foo(n-2); } Which of the following recurrence relations most 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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