Comments on: HP. Happy Root 10 Day!

By: Brett Barbaro

Brett Barbaro — Wed, 18 Jul 2012 16:33:17 +0000

Hey! Episode HP is broken – I can only download 2.3MB worth. Any chance of getting it fixed? I can’t stand to miss even a second of your amazing show! :)

By: gpeace

gpeace — Fri, 23 Mar 2012 01:39:54 +0000

I found [spoiler] two solutions for 4 lines, one for 5 lines and none for 6 lines.
In general, the sum of the numbers in the second column equals twice the number of lines, since each number in each of the two columns must be counted once. So for 4 lines, a + b + c + d = 8 (where a is the number of 1’s, b is the number of 2’s, etc.).
Also, we can multiply the number of 1’s in the second column (a-1, since there is one in the first column) by 1, add it to the number of 2’s in the second column (b-1) multiplied by 2, and so on. This must also equal 8.
1*(a-1)+2*(b-1)+3*(c-1)+4*(d-1)=8
a + 2b + 3c + 4d = 18
Since I only have two equations for four variables, I had to use some trial and error to get two solutions for four lines, which are:
(a,b,c,d) = (2,3,2,1) and (a,b,c,d) = (3,1,3,1)
For five lines, a+b+c+d+e=10 and a+2b+3c+4d+5e=25 and I found one solution:
(a,b,c,d,e) = (3,2,3,1,1)
I am interested to know if there are more precise general principles than my two equations that would not make it unpleasant to look for solutions beyond 6 lines. [/spoiler]

By: Shawn

Shawn — Mon, 19 Mar 2012 06:25:11 +0000

[spoiler] Quiz A The number of 1?s in this quiz is 2
The number of 2?s in this quiz is 3
The number of 3?s in this quiz is 2
The number of 4?s in this quiz is 1 Quiz B
The number of 1?s in this quiz is 3
The number of 2?s in this quiz is 1
The number of 3?s in this quiz is 3
The number of 4?s in this quiz is 1
[/spoiler]

By: martin

martin — Sat, 17 Mar 2012 20:42:12 +0000

I wrote a python program to simulate 5 (not 100) ppl getting on the plane. http://pastebin.com/6rhxv0yA the last guy gets his seat about 0.499045 of the time.