Problem 1: Mouse in a Grid Maze (50 pts)

You are applying for your dream job and the interviewer asks you to solve the following problem using dynamic programming as efficiently (shortest run time) as possible:

A researcher is running an experiment where a mouse is placed at the top left position on a m x n grid maze.  The mouse can only either move 1 position to right or one position down at a time in order to reach a piece of cheese at the lower right corner of the grid.

The researcher needs to know how many unique paths are possible for different sized grid    mazes.  You need to write an application that uses command line arguments to input the     number of rows and the number of columns of the grid maze and output the total number of possible unique paths to a text file (NumberPaths.txt).  The first command line argument is  the number of rows and the second argument is the number of columns.  The output file is    overwritten each time the program is executed.  You need to write a function contained in a separate implementation file (numberGridPaths.cpp) to calculate the total number of paths using the function prototype show below:

uint64_t numberGridPaths(unsigned int nRows, unsigned int nCols);

Sample Results:

Turn-In Instructions:

Your application needs to be made up of two files for this problem:

1)   main.cpp

2)  numberGridPaths.cpp

Place the two files into a zip file called Lab1Prob1.zip and upload to the Canvas assignment.

Example Program Input\Output: (m & n values will be restricted to not exceed 18 in either direction)

Ex 1:

Lab1Prob1.out 2 3

NumberPaths.txt contains single line 今 Total Number Paths: 3

Ex 2:

Lab1Prob1.out 2  (only one argument, invalid)

NumberPaths.txt contains single line 今 Invalid Input!

Sample Invalid Values:

000, 01, abcd, also having only one argument or more than two is invalid.

Reference Material:

https://www.tutorialspoint.com/command-line-arguments-in-c-cplusplus

https://cplusplus.com/reference/fstream/ofstream/ofstream/

https://collegenote.net/curriculum/data-structures-and-algorithms/41/451/

Hint:

Draw a recursion tree to understand the recursive nature for a 2x3 grid maze.  This problem is just a slight modification to the Fibonacci problem covered in class.

Problem 2: Su Doku (50 pts)

(www.projecteuler.net) Su Doku (Japanese meaning number place) is the name given to a

popular puzzle concept. Its origin is unclear, but credit must be attributed to Leonhard Euler who invented a similar, and much more difficult, puzzle idea called Latin Squares. The objective of Su Doku puzzles, however, is to replace the blanks (or zeros) in a 9 by 9 grid in such that each row, column, and 3 by 3 box contains each of the digits 1 to 9. Below is an example of a typical starting puzzle grid and its solution grid.

Write a program that takes as a command line argument that is the path to an input file. There is a

sample input file called input_sudoku.txt included in the assignment.

Your program must include the following:

•   Using std::thread to create a multi-threaded program to solve a set of sudoku puzzles.

•   Create a class called SudokuGrid that is used to hold a single puzzle with a constant 9 x 9 array of unsigned char elements.

•    Create the following member variables for SudokuGrid:

o std::string m_strGridName;

o unsigned char gridElement[9][9];

•    Create the following member functions for SudokuGrid

o friend fstream& operator>>(fstream& os, const SudokuGrid & gridIn);

1 reads a single SudokuGrid object from a fstream file.

o friend fstream& operator<<(fstream& os, const SudokuGrid & gridIn);

1 writes the SudokuGrid object to a file in the same format that is used in

reading in the object

o solve();

•   Your main() function needs to dynamically determine the maximum number of threads (numThreads) that can run concurrently.  Your main() function should then spawn        (numThreads- 1) threads calling the function solveSudokuPuzzles().

•    Use global variables

o std::mutex outFileMutex;

o std::mutex inFileMutex;

o std::fstream outFile;

1 In the main() function, open the output file Lab2Prob2.txt using the        command line argument. Use the same format for the output file as in the input file.

o std::fstream inFile;

1 In the main() function open the file using the command line argument.

•   In the function solveSudokuPuzzles() use a std::mutex(s) to protect the global variables inFile and outFile.

o The function needs to have a do-while loop to continue to read in and solve puzzles and then write out the solution until the end of the file is reached.

o once the end of the file is reached the function should return.

•    After all threads are finished close both the global fstream variables.

•   You are free to add any other member functions you think are needed.

You are free to use online solutions for solving the Sudoku problems.  Here is one such example: https://www.tutorialspoint.com/sudoku-solver-in-cplusplus.  I have not tested this solution so it is up to you to find and/or implement code that works.  Make sure you add a comment referencing  any online solutions you use.

Turn-In Instructions:

Place all the files used in your solution into a zip file called Lab1Prob2.zip and upload to the Canvas assignment.

Grading Rubric

If a student’s program runs correctly and produces the desired output, the student has the potential to get a 100 on his or her homework; however, TA’s will randomly look through this set of “perfect-output” programs to look for other         elements of meeting the lab requirements. The table below shows typical deductions that could occur.

   Execution Time is importantfor this lab.

AUTOMATIC GRADING POINT DEDUCTIONS PER PROBLEM:

LATE POLICY

***You are free to post solution times on pizza so that other students can gauge their run times.

Appendix A: Coding Standards

Indentation:

When using if/for/while statements, make sure you indent 4 spaces for the content inside those.  Also make sure that you use spaces to make the code more readable.

For example:

for (int i; i < 10; i++)

{

j = j + i;

}

If you have nested statements, you should use multiple indentions. Each { should be on its own line (like the for loop) If you have else or else if statements after your if statement, they should be on their own line.

for (int i; i < 10; i++)

{

if (i < 5)

{

counter++;

k -= i;

}

else

{

k +=1;

}

j += i;

}

Camel Case:

This naming convention has the first letter of the variable be lower case, and the first letter in each new word be capitalized (e.g. firstSecondThird). This applies for functions and member functions as well! The main     exception to this is class names, where the first letter should also be capitalized.

Variable and Function Names:

Your variable and function names should be clear about what that variable or function is. Do not use one     letter variables, but use abbreviations when it is appropriate (for example: “imag" instead of                        “imaginary”). The more descriptive your variable and function names are, the more readable your code will be.  This is the idea behind self-documenting code.

File Headers:

Every file should have the following header at the top

/*

Author: your name

Class: ECE4122 or ECE6122 (section)

Last Date Modified: date

Description:

What is the purpose of this file?

*/