I went through all of your answers and picked three students' solutions as a sample solution because I thought they were very intriguing and outstanding. Thanks to Danny Wyatt, Charles Reis and Tal Shaked for sharing their solutions. 
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This assignment was graded based on the relative quality of your argument. There's no right or wrong answer for most problems. Grading scale : Letter grading from A+ to C- for each problem.
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<a href="DannyWyatt.pdf">Danny Wyatt<br>
<a href="TalShaked.doc">Tal Shaked<br>
<a href="CharlesReis.txt">Charles Reis<br>