Translate below programming statement to RISC$-$V assembly instructions, then into machin instructions. Present machine instructions in both binary and hexadecimal formats.

$A[30]=h+A[30]$

Assume $x10$ has the base of the array A and $x21$ corresponds to $h.$

$[1$ point$]$ What is an algorithm? What is the importance of the algorithm? Provided an example.

$[1$ point$]$ Show the steps to find the list of prime numbers for $n=30$ using the Sieve of Eratosthenes.

point $(0\mathrm{.}5+0\mathrm{.}5)$

a$.$ What is the minimum number of divisions made by Euclid's algorithm among all inputs $1m,n15?$

b$.$ What is the maximum number of divisions made by Euclid's algorithm among all inputs $1m,n15?$

$[2$ points$]$ Provide one real$-$life example for each of the following $5$ important algorithmic problem types

a$.$ Sorting

b$.$ Searching

c$.$ String processing

d$.$ Graph problems

e$.$ Combinatorial problems

$[1$ point$]$ Describe the difference between a connected and complete graph with example?

$[2$ points$]$ Consider the following algorithm

ALGORITHM Enigma$($A$[0..$n$-1,0..$n$-1])$

$//$Input: A matrix $A[0..n-1,0..n-1]$ of real numbers

for ilarr$0$ to $n-2$ do

for jlarri$+1$ to $n-1$ do

if $A[i,j]A[j,i]$

return false

return true

a$.$ What does the algorithm compute?

b$.$ What is the basic operation?

c$.$ How many times does the basic operation execute?

d$.$ Analyze the worst, best, and average case complexity.

$[2$ points$]$ Consider the following algorithm

ALGORITHM $GE(A[0..n-1,0..n])$

$//$Input: An $n(n+1)$ matrix $A[0..n-1,0..n]$ of real numbers

for ilarr$0$ to $n-2$ do

for jlarri$+1$ to $n-1$ do

for klarri to $n$ do

$A[j,k]larrA[j,k]-A[i,k]**A\frac{j,i}{A}[i,i]$

a$.$ What does the algorithm compute?

b$.$ What is the basic operation?

c$.$ How many times does the basic operation execute?

d$.$ Analyze the worst, best, and average case complexity.