I am given a sequential algorithm that does a routine search
on an unordered list. N = 20.
The probability that the value x does NOT appear in the list
is exactly 60%, and the probability that x DOES appear is 40%.
The 3 questions that I could not get were:
A) What is the avg number of element comparisons performed
when n = 20 and x does NOT appear in the List.
(my answer was 20, is this correct?)
B) What is the avg number of element comparisons peformed
when n = 20 and x DOES appear in the list?
C) What is the avg number of element comparisons performed
when n = 20. This should be a single number answer they said.
Let the G be a graph with 100 vertices numbered 1 to 100
Two vertices i and j are adjecnt if | i-j| =8 or | i-j|
=12. The Number of connected components in G is ?
Q # 1 : in which graph algorithm do we start finding
vertices that should be first in the topological order and
then apploy the fact that every vertex must come before its
successors in the topolgical order.
Q#1: An algorithm is made up of 2 modules M1 and M2.If
order of M1 is F(n) and order of M2 is g (n) then what is
the order of the algorithm.
Q # 2 : How many binary trees are possible with 3 nodes?
with 4 nodes?
1) Program A and B are analyzed and found to have worst-
case running times no greater than 150nlog2n and n2
respectively.Answer the folloWing questions if possible..
i) which program has the better guarantee on the running
time,for larger values of n(n>10000) ?
ii) which program has the better guarantee on the running
time,for small values of n(n<100) ?
iii) which program will run faster on average for n =1000
2) wRite a program to compute the number of collisions
required in a long random sequence of
insertions using linear probing ,quadratic probing and
double hashing
3) what is the optimal way to compute A1 A2 A3 A4 A5 A6
where the dimensions of the matrices are
A1:10*20 A2 : 20 * 1 A3 : 1 * 40 A4 : 40*5 A5 : 5 * 30
A6 : 30 X 15
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