Please write comments in your code and show output You are required to write the following problem using recursion and backtracking.Write the program in: MIPS Assembly using MARS simulator.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Please write comments in your code and show output
You are required to write the following problem using recursion and backtracking.Write the program in: MIPS Assembly using MARS simulator.
3
You are required to write a program that identifies all prime numbers. Your program should
receive 2 input integers. The first input is an upper bound value that your program should
identify all prime numbers smaller than it. The second integer is the number of 1s in the binary
representation of the prime numbers that your program should print as an output. In other
words, if your program receives as an input n and y, your program should identify all prime
numbers between 0 and n, and print only those prime numbers whose binary representation
contains a number of 1s exactly equals to y.
You are required to solve this problem using the Sieve bitwise algorithm. The idea behind the
Sieve algorithm is to exclude all the even numbers bigger than 2 as they are definitely not
prime numbers. If your upper bound input is n, you should create a bit map array of size n/2
bits; a bit for each odd numbers. You should loop over all odd numbers and mark their multiples
in the bit map by setting their corresponding bits in the bitmap. After finishing all numbers, bits
set to zero in the bit map designates the prime numbers. Iterate over the prime number through
the bitmap and only print those whose number of 1s in their binary representation is equal to
y; the second program parameter.
Transcribed Image Text:Please write comments in your code and show output You are required to write the following problem using recursion and backtracking.Write the program in: MIPS Assembly using MARS simulator. 3 You are required to write a program that identifies all prime numbers. Your program should receive 2 input integers. The first input is an upper bound value that your program should identify all prime numbers smaller than it. The second integer is the number of 1s in the binary representation of the prime numbers that your program should print as an output. In other words, if your program receives as an input n and y, your program should identify all prime numbers between 0 and n, and print only those prime numbers whose binary representation contains a number of 1s exactly equals to y. You are required to solve this problem using the Sieve bitwise algorithm. The idea behind the Sieve algorithm is to exclude all the even numbers bigger than 2 as they are definitely not prime numbers. If your upper bound input is n, you should create a bit map array of size n/2 bits; a bit for each odd numbers. You should loop over all odd numbers and mark their multiples in the bit map by setting their corresponding bits in the bitmap. After finishing all numbers, bits set to zero in the bit map designates the prime numbers. Iterate over the prime number through the bitmap and only print those whose number of 1s in their binary representation is equal to y; the second program parameter.
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