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yo (⌐■_■)

Herro

http://prntscr.com/85qp9w

|dw:1439845105204:dw|

|dw:1439845339882:dw|

|dw:1439845520781:dw|

the arragenment u have there is also since its increasing wrt to the sum of the indices too

how about a coming with bounds like

difference of 2 cannot exist for top and bottom

|dw:1439845851729:dw|

as 2 cannot be placed so we know that one side must always have a +1 to it

Hmmm one bound I see is that for a 3x3 matrix we have:
\(b_1 \ge 1\), \(b_2 \ge 3\), \(b_3 \ge 1\)

lets come back to this -.-
lets do this
http://prntscr.com/85qvgt

Hmmm I think this is related to triangular numbers isn't it?

its all related to something alright

3 lines either intersect 0, 1, 2, or 3 times.

okay right and for this question 0 is not possible becase of the no 3 concurrent rule

how does that scale with more lines

Is that what concurrent means? Parallel?

ya i googled it one of the synonyms said parallel so i went with it lol

yes concurrent = parallel

it was written by some dude that had a notion of a line

Waste of a word imo

hehehe

Then 3 lines must intersect:
1 or 3 points only.

|dw:1439847255272:dw|

wait 2 is possible since we are allowed 2 concurrent just not 3

Oh ok

now the problem looks more algebraic

we can be solving like a general problem then!

the last one doesnt make sense, i dunno but something like this

lol eggheads