COMP 429/529: Assignment 1-Part 2


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COMP 429/529: Assignment 1-Part 2

In this assignment you will parallelize an n-queens solver using OpenMP. This application
will help you exercise your knowledge in task parallelism. You are provided with the serial
version of this application and you must develop your parallel implementation on top of it.
Be aware that each part requires you to collect performance data with several runs so allow
yourself enough time to conduct those experiments before the deadline.
PART II: Parallel N-Queens Solver
In the second part of this assignment, you are asked to parallelize a serial n-queens solver
with OpenMP. Similar to Part I, you are provided with a serial n-queens solver code, which
takes an n-queens problem as an input and finds all possible solutions from it. We are
using a brute force search for searching for all possible solutions to the problem.
For a given nxn chessboard, the idea is to generate every possible move by trying each cell
within a column i, such that 0 ≤ i < n, and then, testing to see whether queen placement
in the cell satisfies the n-queens’ constraint (no chess queen in the board/matrix can kill each
other). After finding a cell in column i that satisfies the constraints, the program moves
to column i+1 to find another queen placement in that column. This process is repeated
recursively until the last column n – 1.
A solution is printed after there is a queen in every column of the matrix with the n-queens’
constraint being satisfied. After finding a solution by placing the last queen in column n –
1, the program backtracks to the previous column n-2 to try other cells in the column and
moves forward again to find another placement of the last queen in column n – 1. This
backtracking process is repeated so that when the program backtracks to a column i, all
possible placements in columns j, s.t. i < j < n, have been found. By the time the
backtracking process completes, all possible solutions for n-queens problem have been found.
Part-II-A Task Parallelism COMP 429/529 ( ): Assignment 1-Part 2 PART II: PARALLEL N-QUEENS SOLVER
Part-II-A Task Parallelism
In the first part, you are required to parallelize the n-queens solver with task parallelism.
Similar to the serial version, the parallel version is expected to find all possible solutions to
a given n-queens problem.
Part-II-B Task Parallelism with Cutoff
The first implementation results in too many tasks in the system which can easily degrade
the performance. As a result, you may not experience any speedup or very disappointing
speedup. In this part, you will implement an optimization to improve the performance of
the parallel code by using a cutoff parameter to limit the number of parallel tasks in your
code. To limit task generations, beyond certain depth in the call-path tree of the recursive
function, switch to the serial execution and do not generate tasks. This depth is determined
by the cutoff parameter you choose.
Part-II-C Task Parallelism with Early Termination
In this part, you will start working from the parallel code that you implemented in Part-II-A.
You are going to modify the code so that it stops after finding one solution instead of all
possible solutions. To make a fair performance comparison, you should also modify the serial
version so that it also stops after finding one solution to n-queens.
Experimental Study
You must collect the performance data on the KUACC cluster. Plot your data as figures
and include them in your report along with some description for your observations and
explanations. Do the experiments with the input size of 14 and with thread count of 1, 2, 4,
8, 16, and 32 threads unless stated otherwise..
a) Scalability Test
Perform the same strong scaling experiment on your implementation.
• For the parallel code from Part-II-A and B, you must compute the speedup with respect
to the given serial n-queens solver.
• For the parallel code from Part-II-C, you must compute the speedup with respect to
a modified version of the given serial n-queens solver that also terminates after finding
one valid solution.
b) Thread Binding Test
Perform the strong scaling experiment under 2 different thread mapping schemes; compact
mapping and scatter mapping. If you run the previous test with compact mapping, then you
just need to repeat the same test with scatter mapping. See lecture 8 for more explanations.
Student Name: Page 2 of 5
COMP 429/529 ( ): Assignment 1-Part 2 ENVIRONMENT
c) Tests on n-queens Problems of Different Sizes
For this test, you will report the running times of the parallel code from Part-II-A on nqueens problems of different sizes by using 32 threads. The sizes that you will test are 13,
14, and 15.
Even if you develop and test your implementations on your local machine or on the computer
labs on campus, you must collect performance data on the KUACC cluster.
• Accessing KUACC outside of campus requires VPN. You can install VPN through this
• A detailed explanation is provided in to run programs in
the KUACC cluster. In this document, we briefly explain it for the Unix-based systems.
For other platforms you can refer to the above link.
• In order to log in to the KUACC cluster, you can use ssh (Secure Shell) in a command
line as follows: The user name and passwords are the same as your email account.
1 bash$ ssh $<[email protected]
2 bash$ ssh [email protected] //example
• The machine you logged into is called login node or front-end node. You are not
supposed to run jobs in the login node but only compile them at the login node.
The jobs run on the compute nodes by submitting job scripts.
• To run jobs in the cluster, you have to change your directory to your scratch folder and
work from there. The path to your scratch folder is
1 bash$ cd /scratch/users/username/
• To submit a job to the cluster, you can create and run a shell script with the following
1 bash$ sbatch <
A sample of the shell script is provided in Blackboard along with the assignment folder.
In the website of the KUACC cluster, a lot more details are provided.
• To copy any file from your local machine to the cluster, you can use the scp (secure
copy) command on your local machine as follows:
1 scp -r <filename <[email protected]:/kuacc/users/<username/
2 scp -r src_folder [email protected]:/kuacc/users/dunat/ //example
-r stands for recursive, so it will copy the src folder with its subfolders.
Student Name: Page 3 of 5
Grading COMP 429/529 ( ): Assignment 1-Part 2 ENVIRONMENT
• Likewise, in order to copy files from the cluster into the current directory in your local
machine, you can use the following command on your local machine:
1 scp -r <[email protected]:/kuacc/users/<username/fileToBeCopied ./
2 scp -r [email protected]:/kuacc/users/dunat/src_code ./ //example
• To compile the assignment on the cluster, you can use the GNU or Intel compiler. The
compilation commands and flags for the compilers are provided in a Makefile in the
assignment folder. Before using the compilers, you firstly need to load their module if
they are not already loaded as follows:
1 bash$ module avail //shows all available modules in KUACC
2 bash$ module list //list currently loaded modules.
3 bash$ module load intel/ipsxe2019-u1ce //loads Intel compiler
4 bash$ module load gcc/7.2.1/gcc //loads GNU compiler
• If you have problems compiling or running jobs on KUACC, first check the website
provided by the KU IT. If you cannot find the solution there, you can always post a
question on Blackboard.
• Don’t leave the experiments on KUACC to the last minutes of the deadline as the
machine gets busy time to time. Note that there are many other people on campus
using the cluster.
• Parallel Version of n-queens Part II-A (15 pts), Part II-B (10), Part II-C (15 pts),
Performance Study for Part II (10 pts)
• A Written Report with Explanations about Implementation, Speedup Figures and Discussions (10 pts)
• Important Note: You may lose points both for parallelization bugs (e.g., race condition, inappropriate private or shared variable usage etc) and performance bugs (e.g.
unnecessary synchronization point) in your implementations.
• Document your work in a well-written report which discusses your findings (10 pts).
• Explain your implementation in the report, if needed, provide a pseuedo code.
• Identify performance bottlenecks and discuss them in your report.
• Report scalability and performance study figures.
• If you achieve good performance, explain why. Similarly, if you don’t achieve good
performance or scaling, explain why.
Student Name: Page 4 of 5
Submission COMP 429/529 ( ): Assignment 1-Part 2 ENVIRONMENT
• Submit both the report and source codes electronically through blackboard.
• In the report, first paragraph should clearly mention which parts you have
completed in this assignment.
• Please create a parent folder named after your KUSIS ID. Your parent folder should
include a report in pdf and a directory of n-queens solver code. If you have intermediate implementations that are less optimized, number them with an increasing version
number. Makefile should compile the most optimized version. Be sure to delete all
object and executable files before creating a zip file.

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