For Deterministic Quicksort, which operates by selecting the first element as the pivot, consider a scenario where the pivot consistently divides the array into segments of 1/3 and 2/3 for all recursive calls. (a) The runtime recurrence for this case needs to be determined. (b) Use a recursion tree to justify that this recurrence resolves to Theta(n log n). (c) Provide distinct sequences of 4 and 13 numbers that prompt this behavior.
Answer:
1.312 in
Explanation:
The details provided in the question are:
The weight of the compressor, W is 227 pounds.
It has 4 legs.
The maximum permissible pressure is 42 psi.
Let F represent the force exerted by each leg.
Thus,
W = 4F,
or
227 pounds = 4F,
implying that:
F = 56.75 pounds.
Furthermore,
Force = Pressure × Area,
therefore:
56.75 pounds = 42 psi × πr² [ r signifies the radius of one leg]
Consequently, we find:
r² = 0.4301,
and thus:
r = 0.656;
resulting in a diameter equal to 2r = 2 × 0.656,
which equals 1.312 in.
