CS494/594 -- Lab 0

To be clear on what you should submit:

This is split into two labs: Lab-0-A and Lab-0-B. For Lab-0-A, you submit Alice.cpp and for Lab-0-B, you submit Board-Folding.cpp

Please submit on Canvas.

Part 1

Do the 250 point problem from D1 in Topcoder SRM 639 (AliceGame). As of 2024, the writeup was taken off Topcoder, so please use the writeup in my class presentation as the definition of the program. That is in https://web.eecs.utk.edu/~jplank/plank/classes/cs494/494/notes/Alice/AliceGame.pdf. You are not to implement the class, but instead a C++ program that takes the two values on the command line. You need to be able to handle x+y < 263.

You can compare your code with the executable Alice in the lab directory. 

UNIX> cd /home/plank/cs494/labs/Lab-0
UNIX> ./Alice 17 8
3
UNIX> ./Alice 5000 5000
30
UNIX> ./Alice 500000000000000000 500000000000000000
292893220
UNIX> time ./Alice 500000000000000000 500000000000000000
292893220
0.000u 0.000s 0:00.00 0.0%	0+0k 0+0io 0pf+0w
UNIX>
There is a shell script there named Alice-Test.sh. Alice-Test.sh should run in well under 1 second (mine runs in about 0.14 seconds), and the output of Alice-Test.sh should be identical to Alice-Answers.txt.

Part 2

Do the 500 point problem from D1 in Topcoder SRM 639 (BoardFolding). Again, take the problem specification not from Topcoder, but from the lecture notes: http://web.eecs.utk.edu/~jplank/plank/classes/cs494/494/notes/Board-Folding/BoardFolding.pdf.

You are to write the program Board-Folding.cpp, which takes the grid on standard input as strings of 0's and 1's, and prints the answer on standard output. For example: 

UNIX> pwd
/home/jplank/classes/494/labs/Lab-0-SRM-639/public
UNIX> cat Boards/TC0.txt
10
11
UNIX> ./Board-Folding < Boards/TC0.txt
1
UNIX> cat Boards/TC1.txt
1111111
1111111
UNIX> ./Board-Folding < Boards/TC1.txt
84
UNIX>
You should implement the fastest variant in the presentation, where starting_places() is O(n2), and you are comparing integers rather than strings.

I have example boards in the directory Boards. They get as big as 3000x300.

I have two shell scripts. Board-Test.sh tests the executable in ./Board-Folding against the boards in Boards. To test yourself, you should copy both the shell script and the Boards directory to your own directory.

Board-Timings.sh times the executable in ./Board-Folding against the boards in Boards. I have the file Board-Timings.txt, which contains the timings of my executable running on hydra3.eecs.utk.edu in January, 2024. Your timings on a hydra machine should be within a factor of two.

Here are examples: 

UNIX> sh -c 'time ./Board-Folding < Boards/BF7.txt'
8994001

real	0m0.235s
user	0m0.230s
sys	0m0.004s
UNIX> sh Board-Test.sh > ~/junk.txt
UNIX> wc ~/junk.txt
 63  63 333 /home/jplank/junk.txt
UNIX> diff ~/junk.txt Board-Answers.txt 
UNIX> sh -c 'time sh Board-Test.sh > /dev/null'

real	0m3.785s
user	0m3.661s
sys	0m0.110s
UNIX>
Finally, here are links to every file in Boards, in case you need them for some reason.

Boards/TC0.txt
Boards/TC1.txt
Boards/TC2.txt
Boards/TC3.txt
Boards/TC4.txt
Boards/D001.txt
Boards/D002.txt
Boards/D003.txt
Boards/D004.txt
Boards/D005.txt
Boards/D006.txt
Boards/D007.txt
Boards/D008.txt
Boards/D009.txt
Boards/D010.txt
Boards/D011.txt
Boards/D012.txt
Boards/D013.txt
Boards/D014.txt
Boards/D015.txt
Boards/D016.txt
Boards/D017.txt
Boards/D018.txt
Boards/D019.txt
Boards/D020.txt
Boards/D021.txt
Boards/D022.txt
Boards/D023.txt
Boards/D024.txt
Boards/D025.txt
Boards/D026.txt
Boards/D027.txt
Boards/D028.txt
Boards/D029.txt
Boards/D030.txt
Boards/D031.txt
Boards/D032.txt
Boards/D033.txt
Boards/D034.txt
Boards/D035.txt
Boards/D036.txt
Boards/D037.txt
Boards/D038.txt
Boards/D039.txt
Boards/D040.txt
Boards/D041.txt
Boards/D042.txt
Boards/D043.txt
Boards/D044.txt
Boards/D045.txt
Boards/D046.txt
Boards/D047.txt
Boards/D048.txt
Boards/D049.txt
Boards/D050.txt
Boards/BF0.txt
Boards/BF1.txt
Boards/BF2.txt
Boards/BF3.txt
Boards/BF4.txt
Boards/BF5.txt
Boards/BF6.txt
Boards/BF7.txt