The SELECT algorithm uses median of sub-medians as the pivot (let us call it s). Show that if n ≥ 140, then at least ⌈n/4⌉ elements are greater than p and at least ⌈n/4⌉ elements are less than p. Note that, in the lecture, we showed that the lower bounds of these two numbers are 3 ∗ (⌈ m/2 ⌉ − 2) with m = n/5

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