Suppose That $f ( n )$ Satisfies the Divide-And-Conquer Recurrence Relation $f ( n ) = 3 f ( n / 4 ) + n ^ { 2 } / 8 \text { with } f ( 1 ) = 2$

question 12

Essay

Suppose that $f ( n )$ satisfies the divide-and-conquer recurrence relation $f ( n ) = 3 f ( n / 4 ) + n ^ { 2 } / 8 \text { with } f ( 1 ) = 2$ What is $f ( 64 )$ ?

---

Definitions:

Bedsore

A type of pressure ulcer that develops on skin and tissues as a result of prolonged pressure, commonly affecting individuals who are bedridden or immobilized.

Decubitus Ulcer

A pressure sore or ulcer that forms on the skin due to prolonged pressure, often affecting bedridden individuals.

Nail Root

The part of the nail beneath the skin, from where the nail starts to grow.

Nail Body

The visible part of the nail, made of keratin, that covers and protects the tips of the fingers and toes.