Judge's notes for Jungle: If you want to check out the final, most complicated graph by hand, here is a text-graphic representation with a rectangle of 8 x 4 vertices joined horizontally, vertically, and diagonally from top left to bottom right, and it wraps around the edges. All the top vertices are linked to A and all the bottom ones to Z. ORIGINAL (left and right sides connect. Vertices for opposite side shown a second time in parentheses) ----------------A---------------- / / / | \ \ \ / / / | \ \ \ / / / / \ \ \ \ / / / / \ \ \ \ rt 17 41 18 42 19 43 20 44 to left end end | | | | | | | | (I)48 -B--1--C--4--D-45--E--7--F-46--G-10--H-47--I-48-(B) |\ |\ |\ |\ |\ |\ |\ |\ |\ 59 60 21 29 53 54 23 31 55 56 25 33 57 58 27 35 59 60 | \| \| \| \| \| \| \| \| \ (Q)40 -J-37--K--2--L--5--M-38--N--8--O-39--P-11--Q-40-(J) |\ |\ |\ |\ |\ |\ |\ |\ |\ 67 68 22 30 61 62 24 32 63 64 26 34 65 66 28 36 67 68 | \| \| \| \| \| \| \| \| \ (Y)12 -R-49--S-50--T--3--U--6--V-51--W--9--X-52--Y-12-(R) \ \ \ \ / / / / 13 69 14 70 15 71 16 72 \ \ \ \ / / / / \ \ \ | / / / -----------------Z---------------- MINIMAL SPANNING TREE ---------------A---------------- / | \ \ / | \ \ / \ \ \ / \ \ \ 17 19 20 44 | | | | B--1--C--4--D E--7--F G-10--H I | | | | 21 23 25 27 | | | | J K--2--L--5--M N--8--O P-11--Q |\ 22 30 | \ Y--12--R S T--3--U--6--V W--9--X from \ \ / rt 13 14 16 \ \ / \ \ / -----------------Z-----------