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MPI Parallel Computing Assignment

This repository contains solutions for the MPI parallel computing assignment, which includes two problems: Counting Prime Numbers and Caesar Cipher Encryption.

Problem 1: Counting Prime Numbers

Description

The task is to write a parallel C program to count prime numbers between a given range using MPI_Send and MPI_Receive only.

Parallelization Scenario

  • Master Process:

    • Calculates the sub-range size r = (y - x) / p.
    • Broadcasts x and r to each slave process using MPI_Send.
    • Receives sub-count from each slave process using MPI_Receive.
    • Prints the total count of primes between x and y.
  • Slave Process:

    • Receives x and r through MPI_Receive.
    • Calculates the lower bound a and upper bound b according to its rank.
    • Counts primes in its sub-range (between a and b).
    • Prints the partial count.
    • Sends this partial count to the master process using MPI_Send.

How to Run

  1. Compile the program using MPI: mpicc -g counting_primes.c -o counting_primes -lmpi -lmpi_cxx
  2. Run the program using mpiexec: mpirun -n <num_processes> ./counting_primes

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