Types / Tree

Average Questions Per Test4.2
Predicted Questions on Modern Test11.7
Tree rules: what they are, how to recognize them, how to diagram them, and details on their interactions with a few other rule types.

Tree rules occur in the context of a sequencing game, where the game revolves around the order in which different actors appear. Examples include games based on races, rankings, or prioritizing to-do lists.

A tree rule describes the relative order in which at least two actors or groups are sequenced. Common examples are "A appears before C," or "C appears after A." Both would be diagrammed like the example on the right, as they mean the same thing. Note that on its own, a tree rule doesn't tell you where in the sequence the actors must fall, just their relative position; in the example on the right, A could be in 1, 2, or 3, as long as C appeared somewhere after it. Compare this rule interaction to Slots, Barriers, and Together rules once I post about those.

Importantly, the only time A and C have to be next to each other is when we know that A is in 3. Can you explain why? If not, look ahead to our discussion of min and max relating to tree rules!

Here is an example breakdown of how a series of tree rules combine to create a "tree" of events. The first panel is a summary of an example LG stimulus that would let you know you have a sequencing game. The following panels present new rules (in red) and how they should be diagrammed (in red). Always be on the lookout for ways to synthesize, or combine, the rules into a single tree, as that makes recognizing important parts of the game much easier.


 

Let's use a series of questions about F in the situation above as a test for how to read the tree diagram: 
  • Do we know anything about the relative order between A and F?
    • Only that both must appear somewhere before D. A could appear before or after F.
  • C and F?
    • Same as above. C and F don't have any rules or deductions that tell us which must come before or after the other.
  • F and G?
    • F must come before G. Visually you can see this because there's a "line" connecting F to D, then two blank slots, to G. Logically, you can say: D must come before G and F must come before D, thus F must also have to come before G.  
Where are you going to find these tree rules? Tree rules are never contained in the game's stimulus, instead appearing in the list following the stimulus. They almost always travel in packs, so be prepared to combine your multiple "saprolings" into a single "tree."

Finally, let's talk about MMFR (min, max, free and restricted) in relation to tree rules. Thinking about MMFR will help you focus on the most important parts of logic games, and reliably lead you to the "aha" moment when your diagram becomes much easier to use.

In the game above, we had two actors with no rules, B and E. By definition, then, these two actors are our "least restricted." We have no information about where they must go, although other rule interactions could (and indeed do) restrict their placement.

 Recognizing your most restrictive actors is fairly easy in tree diagrams, as they will be the actors with the most chains leading to and from them. Pulling from the above example, both D and G have six slots that we know must come either before (in the case of G) or before and after (3 each, in the case of D).

The diagram below utilizes both of these issues and combines the min/max information from the stimulus--that there are only 7 available slots--to draw our most restricted actors from our tree diagram into the slots they must fill in the slot diagram.

In the second panel, D must have three actors before it (some order of A, C, and F), and three actors after it (two unknowns and then G). The only slot where D can have 3 actors both before and after it is the fourth slot, so we can go ahead and draw that deduction into the diagram.

Similarly, and depicted in the third panel, G must have 6 actors appear before it: some order of A, C, F, and D, along with the two other actors. Only the seventh slot has six spaces before it, so G can be drawn in there.

What about our "free actors?" Where could they go? Is there space for them before D? Not with three spots and A, C, and F having to fit into them. 

After D? But there are only two spots! Maybe they're not so "free" after all... Welcome to logic games.
GroupTestQ #SectionAnswerYour AnswerDistractorDifficulty
June 2007 11-17 (2/6)June 2007111AMedium
June 2007 11-17 (2/6)June 2007121AMedium
June 2007 11-17 (2/6)June 2007131DMedium
June 2007 11-17 (2/6)June 2007141EMedium
June 2007 11-17 (2/6)June 2007151AMedium
June 2007 11-17 (2/6)June 2007161AMedium
June 2007 11-17 (2/6)June 2007171DCHard
PT 65 1-5 (3/6)PT 6512DMedium
PT 65 1-5 (3/6)PT 6522AEasy
PT 65 1-5 (3/6)PT 6532CMedium
PT 65 1-5 (3/6)PT 6542EBVery Hard
PT 65 1-5 (3/6)PT 6552BEasy
PT 65 6-11 (2/6)PT 6562CEasy
PT 65 6-11 (2/6)PT 6572DMedium
PT 65 6-11 (2/6)PT 6582EMedium
PT 65 6-11 (2/6)PT 6592BAHard
PT 65 6-11 (2/6)PT 65102BAHard
PT 65 6-11 (2/6)PT 65112CMedium
PT 65 17-23 (2/6)PT 65172BAHard
PT 65 17-23 (2/6)PT 65182BAHard
PT 65 17-23 (2/6)PT 65192DCVery Hard
PT 65 17-23 (2/6)PT 65202ECVery Hard
PT 65 17-23 (2/6)PT 65212CHard
PT 65 17-23 (2/6)PT 65222BCVery Hard
PT 65 17-23 (2/6)PT 65232CAHard
PT 64 1-6 (3/6)PT 6412EMedium
PT 64 1-6 (3/6)PT 6422BMedium
PT 64 1-6 (3/6)PT 6432CAHard
PT 64 1-6 (3/6)PT 6442DBVery Hard
PT 64 1-6 (3/6)PT 6452AVery Easy
PT 64 1-6 (3/6)PT 6462EEasy
PT 64 19-23 (2/8)PT 64192BMedium
PT 64 19-23 (2/8)PT 64202ADHard
PT 64 19-23 (2/8)PT 64212ACMedium
PT 64 19-23 (2/8)PT 64222DMedium
PT 64 19-23 (2/8)PT 64232CMedium
PT 63 6-10 (2/7)PT 6362BMedium
PT 63 6-10 (2/7)PT 6372DMedium
PT 63 6-10 (2/7)PT 6382CMedium
PT 63 6-10 (2/7)PT 6392DMedium
PT 63 6-10 (2/7)PT 63102AEasy
PT 63 11-17 (3/9)PT 63112BMedium
PT 63 11-17 (3/9)PT 63122EMedium
PT 63 11-17 (3/9)PT 63132CDHard
PT 63 11-17 (3/9)PT 63142EAVery Hard
PT 63 11-17 (3/9)PT 63152AEHard
PT 63 11-17 (3/9)PT 63162BHard
PT 63 11-17 (3/9)PT 63172BEHard
PT 63 18-23 (1/7)PT 63182BAHard
PT 63 18-23 (1/7)PT 63192CAHard
PT 63 18-23 (1/7)PT 63202ECVery Hard
PT 63 18-23 (1/7)PT 63212AEMedium
PT 63 18-23 (1/7)PT 63222CBHard
PT 63 18-23 (1/7)PT 63232DMedium
PT 62 1-6 (2/7)PT 6213DMedium
PT 62 1-6 (2/7)PT 6223DMedium
PT 62 1-6 (2/7)PT 6233ECHard
PT 62 1-6 (2/7)PT 6243EEasy
PT 62 1-6 (2/7)PT 6253BAMedium
PT 62 1-6 (2/7)PT 6263AEMedium
PT 62 19-23 (1/7)PT 62193BMedium
PT 62 19-23 (1/7)PT 62203EMedium
PT 62 19-23 (1/7)PT 62213AEasy
PT 62 19-23 (1/7)PT 62223AEasy
PT 62 19-23 (1/7)PT 62233DEasy
PT 61 6-11 (2/5)PT 6163AEasy
PT 61 6-11 (2/5)PT 6173CMedium
PT 61 6-11 (2/5)PT 6183AVery Easy
PT 61 6-11 (2/5)PT 6193CEasy
PT 61 6-11 (2/5)PT 61103BMedium
PT 61 6-11 (2/5)PT 61113DBHard
PT 61 18-23 (2/7)PT 61183DAMedium
PT 61 18-23 (2/7)PT 61193CDHard
PT 61 18-23 (2/7)PT 61203DAHard
PT 61 18-23 (2/7)PT 61213BAHard
PT 61 18-23 (2/7)PT 61223BMedium
PT 61 18-23 (2/7)PT 61233AMedium
PT 60 1-6 (1/11)PT 6012BEasy
PT 60 1-6 (1/11)PT 6022DEasy
PT 60 1-6 (1/11)PT 6032AMedium
PT 60 1-6 (1/11)PT 6042AMedium
PT 60 1-6 (1/11)PT 6052EEasy
PT 60 1-6 (1/11)PT 6062CEasy
PT 60 7-12 (3/7)PT 6072EVery Easy
PT 60 7-12 (3/7)PT 6082CEasy
PT 60 7-12 (3/7)PT 6092DEasy
PT 60 7-12 (3/7)PT 60102ADMedium
PT 60 7-12 (3/7)PT 60112CEasy
PT 60 7-12 (3/7)PT 60122CEasy
PT 59 1-5 (1/9)PT 5911CVery Easy
PT 59 1-5 (1/9)PT 5921AVery Easy
PT 59 1-5 (1/9)PT 5931CEasy
PT 59 1-5 (1/9)PT 5941DMedium
PT 59 1-5 (1/9)PT 5951CEHard
PT 59 6-10 (2/6)PT 5961CEasy
PT 59 6-10 (2/6)PT 5971EEasy
PT 59 6-10 (2/6)PT 5981DAMedium
PT 59 6-10 (2/6)PT 5991BEasy
PT 59 6-10 (2/6)PT 59101DBHard
PT 59 17-23 (3/6)PT 59171AEasy
PT 59 17-23 (3/6)PT 59181EMedium
PT 59 17-23 (3/6)PT 59191DCHard
PT 59 17-23 (3/6)PT 59201EMedium
PT 59 17-23 (3/6)PT 59211EDHard
PT 59 17-23 (3/6)PT 59221BMedium
PT 59 17-23 (3/6)PT 59231BDMedium
PT 58 1-6 (1/6)PT 5813EVery Easy
PT 58 1-6 (1/6)PT 5823CMedium
PT 58 1-6 (1/6)PT 5833EMedium
PT 58 1-6 (1/6)PT 5843AEasy
PT 58 1-6 (1/6)PT 5853EBHard
PT 58 1-6 (1/6)PT 5863CVery Easy
PT 58 13-17 (1/9)PT 58133DVery Easy
PT 58 13-17 (1/9)PT 58143DMedium
PT 58 13-17 (1/9)PT 58153BEasy
PT 58 13-17 (1/9)PT 58163BVery Easy
PT 58 13-17 (1/9)PT 58173CAMedium
PT 57 1-5 (4/5)PT 5711DEasy
PT 57 1-5 (4/5)PT 5721BEasy
PT 57 1-5 (4/5)PT 5731CEasy
PT 57 1-5 (4/5)PT 5741DMedium
PT 57 1-5 (4/5)PT 5751CMedium
PT 57 6-11 (1/6)PT 5761BEasy
PT 57 6-11 (1/6)PT 5771BMedium
PT 57 6-11 (1/6)PT 5781EA/CHard
PT 57 6-11 (1/6)PT 5791DMedium
PT 57 6-11 (1/6)PT 57101CMedium
PT 57 6-11 (1/6)PT 57111BMedium
PT 56 1-6 (3/5)PT 5611EEasy
PT 56 1-6 (3/5)PT 5621BAMedium
PT 56 1-6 (3/5)PT 5631CMedium
PT 56 1-6 (3/5)PT 5641CDHard
PT 56 1-6 (3/5)PT 5651AMedium
PT 56 1-6 (3/5)PT 5661EAHard
PT 56 17-23 (3/7)PT 56171AEasy
PT 56 17-23 (3/7)PT 56181AMedium
PT 56 17-23 (3/7)PT 56191CDHard
PT 56 17-23 (3/7)PT 56201DBHard
PT 56 17-23 (3/7)PT 56211EBHard
PT 56 17-23 (3/7)PT 56221EMedium
PT 56 17-23 (3/7)PT 56231BEMedium
PT 55 7-12 (1/7)PT 5574DVery Easy
PT 55 7-12 (1/7)PT 5584CMedium
PT 55 7-12 (1/7)PT 5594AEasy
PT 55 7-12 (1/7)PT 55104EEasy
PT 55 7-12 (1/7)PT 55114DEasy
PT 55 7-12 (1/7)PT 55124BCHard
PT 55 13-18 (5/7)PT 55134DVery Easy
PT 55 13-18 (5/7)PT 55144BEasy
PT 55 13-18 (5/7)PT 55154CEasy
PT 55 13-18 (5/7)PT 55164CDMedium
PT 55 13-18 (5/7)PT 55174CMedium
PT 55 13-18 (5/7)PT 55184EMedium
PT 55 19-23 (2/8)PT 55194EEasy
PT 55 19-23 (2/8)PT 55204DMedium
PT 55 19-23 (2/8)PT 55214DMedium
PT 55 19-23 (2/8)PT 55224CBHard
PT 55 19-23 (2/8)PT 55234DBHard
PT 54 6-12 (1/5)PT 5463AEasy
PT 54 6-12 (1/5)PT 5473AMedium
PT 54 6-12 (1/5)PT 5483DEasy
PT 54 6-12 (1/5)PT 5493EEasy
PT 54 6-12 (1/5)PT 54103DMedium
PT 54 6-12 (1/5)PT 54113EEasy
PT 54 6-12 (1/5)PT 54123BDMedium
PT 54 13-17 (3/5)PT 54133AVery Easy
PT 54 13-17 (3/5)PT 54143BMedium
PT 54 13-17 (3/5)PT 54153EMedium
PT 54 13-17 (3/5)PT 54163BEasy
PT 54 13-17 (3/5)PT 54173BEasy
PT 54 18-23 (1/8)PT 54183BEMedium
PT 54 18-23 (1/8)PT 54193AMedium
PT 54 18-23 (1/8)PT 54203BMedium
PT 54 18-23 (1/8)PT 54213DMedium
PT 54 18-23 (1/8)PT 54223CAHard
PT 54 18-23 (1/8)PT 54233ADHard
PT 53 6-11 (1/5)PT 5362CEasy
PT 53 6-11 (1/5)PT 5372AVery Easy
PT 53 6-11 (1/5)PT 5382AEasy
PT 53 6-11 (1/5)PT 5392DMedium
PT 53 6-11 (1/5)PT 53102CVery Easy
PT 53 6-11 (1/5)PT 53112BEasy
PT 53 12-17 (4/12)PT 53122BEasy
PT 53 12-17 (4/12)PT 53132EEasy
PT 53 12-17 (4/12)PT 53142AMedium
PT 53 12-17 (4/12)PT 53152EEasy
PT 53 12-17 (4/12)PT 53162AMedium
PT 53 12-17 (4/12)PT 53172DEasy
PT 53 18-23 (2/8)PT 53182EEasy
PT 53 18-23 (2/8)PT 53192AMedium
PT 53 18-23 (2/8)PT 53202BMedium
PT 53 18-23 (2/8)PT 53212CMedium
PT 53 18-23 (2/8)PT 53222EDHard
PT 53 18-23 (2/8)PT 53232BEasy
PT 52 1-7 (5/6)PT 5212EEasy
PT 52 1-7 (5/6)PT 5222CMedium
PT 52 1-7 (5/6)PT 5232BMedium
PT 52 1-7 (5/6)PT 5242BEasy
PT 52 1-7 (5/6)PT 5252EMedium
PT 52 1-7 (5/6)PT 5262BEasy
PT 52 1-7 (5/6)PT 5272BEasy
PT 52 13-17 (2/5)PT 52132BEasy
PT 52 13-17 (2/5)PT 52142EMedium
PT 52 13-17 (2/5)PT 52152CEasy
PT 52 13-17 (2/5)PT 52162BDHard
PT 52 13-17 (2/5)PT 52172DEasy
PT 52 18-23 (2/5)PT 52182CEasy
PT 52 18-23 (2/5)PT 52192AEasy
PT 52 18-23 (2/5)PT 52202EMedium
PT 52 18-23 (2/5)PT 52212CMedium
PT 52 18-23 (2/5)PT 52222CE/DHard
PT 52 18-23 (2/5)PT 52232EMedium
PT 51 6-10 (4/9)PT 5164BEasy
PT 51 6-10 (4/9)PT 5174CHard
PT 51 6-10 (4/9)PT 5184AMedium
PT 51 6-10 (4/9)PT 5194DBMedium
PT 51 6-10 (4/9)PT 51104DMedium
PT 51 11-15 (1/11)PT 51114DEasy
PT 51 11-15 (1/11)PT 51124EMedium
PT 51 11-15 (1/11)PT 51134DEasy
PT 51 11-15 (1/11)PT 51144DMedium
PT 51 11-15 (1/11)PT 51154EDHard
PT 51 16-22 (6/8)PT 51164DEasy
PT 51 16-22 (6/8)PT 51174CEasy
PT 51 16-22 (6/8)PT 51184DEasy
PT 51 16-22 (6/8)PT 51194AEasy
PT 51 16-22 (6/8)PT 51204BEasy
PT 51 16-22 (6/8)PT 51214CMedium
PT 51 16-22 (6/8)PT 51224CMedium
PT 50 12-17 (3/8)PT 50123BEasy
PT 50 12-17 (3/8)PT 50133BEasy
PT 50 12-17 (3/8)PT 50143CA/BHard
PT 50 12-17 (3/8)PT 50153AEasy
PT 50 12-17 (3/8)PT 50163EMedium
PT 50 12-17 (3/8)PT 50173EMedium
PT 50 18-22 (2/8)PT 50183BMedium
PT 50 18-22 (2/8)PT 50193DMedium
PT 50 18-22 (2/8)PT 50203ECHard
PT 50 18-22 (2/8)PT 50213DMedium
PT 50 18-22 (2/8)PT 50223AEMedium
PT 49 18-22 (3/6)PT 49181BEasy
PT 49 18-22 (3/6)PT 49191EEasy
PT 49 18-22 (3/6)PT 49201BCMedium
PT 49 18-22 (3/6)PT 49211DCVery Hard
PT 49 18-22 (3/6)PT 49221CEasy
PT 48 7-12 (4/7)PT 4872CEasy
PT 48 7-12 (4/7)PT 4882BMedium
PT 48 7-12 (4/7)PT 4892CEasy
PT 48 7-12 (4/7)PT 48102EVery Easy
PT 48 7-12 (4/7)PT 48112DVery Easy
PT 48 7-12 (4/7)PT 48122EEasy
PT 48 18-22 (2/8)PT 48182AMedium
PT 48 18-22 (2/8)PT 48192AEasy
PT 48 18-22 (2/8)PT 48202AMedium
PT 48 18-22 (2/8)PT 48212DCMedium
PT 48 18-22 (2/8)PT 48222BMedium
PT 47 1-5 (2/7)PT 4714EVery Easy
PT 47 1-5 (2/7)PT 4724AEasy
PT 47 1-5 (2/7)PT 4734CVery Easy
PT 47 1-5 (2/7)PT 4744AEasy
PT 47 1-5 (2/7)PT 4754DEasy
PT 46 1-6 (2/4)PT 4614AVery Easy
PT 46 1-6 (2/4)PT 4624AVery Easy
PT 46 1-6 (2/4)PT 4634DVery Easy
PT 46 1-6 (2/4)PT 4644AEasy
PT 46 1-6 (2/4)PT 4654EVery Easy
PT 46 1-6 (2/4)PT 4664AVery Easy
PT 46 12-16 (1/7)PT 46124AVery Easy
PT 46 12-16 (1/7)PT 46134CMedium
PT 46 12-16 (1/7)PT 46144EMedium
PT 46 12-16 (1/7)PT 46154DEasy
PT 46 12-16 (1/7)PT 46164BEasy
PT 45 1-6 (3/5)PT 4513EVery Easy
PT 45 1-6 (3/5)PT 4523BCMedium
PT 45 1-6 (3/5)PT 4533CVery Easy
PT 45 1-6 (3/5)PT 4543DVery Easy
PT 45 1-6 (3/5)PT 4553BVery Easy
PT 45 1-6 (3/5)PT 4563EEasy
PT 44 1-6 (1/6)PT 4413CVery Easy
PT 44 1-6 (1/6)PT 4423DVery Easy
PT 44 1-6 (1/6)PT 4433EVery Easy
PT 44 1-6 (1/6)PT 4443EMedium
PT 44 1-6 (1/6)PT 4453DEasy
PT 44 1-6 (1/6)PT 4463AVery Easy
PT 44 13-17 (1/8)PT 44133EMedium
PT 44 13-17 (1/8)PT 44143CMedium
PT 44 13-17 (1/8)PT 44153AEasy
PT 44 13-17 (1/8)PT 44163EDMedium
PT 44 13-17 (1/8)PT 44173DCHard
PT 44 18-22 (1/10)PT 44183AEasy
PT 44 18-22 (1/10)PT 44193EVery Easy
PT 44 18-22 (1/10)PT 44203EMedium
PT 44 18-22 (1/10)PT 44213DMedium
PT 44 18-22 (1/10)PT 44223CEasy
PT 43 1-5 (2/7)PT 4314DEasy
PT 43 1-5 (2/7)PT 4324EEasy
PT 43 1-5 (2/7)PT 4334ABMedium
PT 43 1-5 (2/7)PT 4344EDMedium
PT 43 1-5 (2/7)PT 4354BCHard
PT 43 6-12 (3/4)PT 4364CMedium
PT 43 6-12 (3/4)PT 4374EEasy
PT 43 6-12 (3/4)PT 4384EMedium
PT 43 6-12 (3/4)PT 4394AVery Easy
PT 43 6-12 (3/4)PT 43104DVery Easy
PT 43 6-12 (3/4)PT 43114AMedium
PT 43 6-12 (3/4)PT 43124CMedium
PT 43 13-17 (1/9)PT 43134BMedium
PT 43 13-17 (1/9)PT 43144BMedium
PT 43 13-17 (1/9)PT 43154DEasy
PT 43 13-17 (1/9)PT 43164BDMedium
PT 43 13-17 (1/9)PT 43174BVery Easy
PT 42 6-12 (3/7)PT 4261AEasy
PT 42 6-12 (3/7)PT 4271AEasy
PT 42 6-12 (3/7)PT 4281CEasy
PT 42 6-12 (3/7)PT 4291DEasy
PT 42 6-12 (3/7)PT 42101CVery Easy
PT 42 6-12 (3/7)PT 42111CEasy
PT 42 6-12 (3/7)PT 42121CMedium
PT 42 13-18 (1/9)PT 42131AVery Easy
PT 42 13-18 (1/9)PT 42141AMedium
PT 42 13-18 (1/9)PT 42151CEasy
PT 42 13-18 (1/9)PT 42161DEasy
PT 42 13-18 (1/9)PT 42171AEasy
PT 42 13-18 (1/9)PT 42181EBMedium
PT 41 1-7 (2/5)PT 4112AEasy
PT 41 1-7 (2/5)PT 4122BEasy
PT 41 1-7 (2/5)PT 4132EVery Easy
PT 41 1-7 (2/5)PT 4142EVery Easy
PT 41 1-7 (2/5)PT 4152BVery Easy
PT 41 1-7 (2/5)PT 4162DEasy
PT 41 1-7 (2/5)PT 4172DEasy
PT 41 8-12 (1/8)PT 4182BEasy
PT 41 8-12 (1/8)PT 4192EEasy
PT 41 8-12 (1/8)PT 41102CDMedium
PT 41 8-12 (1/8)PT 41112EEasy
PT 41 8-12 (1/8)PT 41122AMedium
PT 41 18-24 (2/13)PT 41182CEasy
PT 41 18-24 (2/13)PT 41192DEasy
PT 41 18-24 (2/13)PT 41202AEasy
PT 41 18-24 (2/13)PT 41212CD/EMedium
PT 41 18-24 (2/13)PT 41222ACMedium
PT 41 18-24 (2/13)PT 41232BCMedium
PT 41 18-24 (2/13)PT 41242CEasy
PT 40 1-5 (2/7)PT 4012DVery Easy
PT 40 1-5 (2/7)PT 4022CVery Easy
PT 40 1-5 (2/7)PT 4032AEasy
PT 40 1-5 (2/7)PT 4042CMedium
PT 40 1-5 (2/7)PT 4052DMedium
PT 39 1-5 (3/10)PT 3911DVery Easy
PT 39 1-5 (3/10)PT 3921CDMedium
PT 39 1-5 (3/10)PT 3931AVery Easy
PT 39 1-5 (3/10)PT 3941CEasy
PT 39 1-5 (3/10)PT 3951CVery Easy
PT 39 12-18 (2/13)PT 39121EVery Easy
PT 39 12-18 (2/13)PT 39131DVery Easy
PT 39 12-18 (2/13)PT 39141CVery Easy
PT 39 12-18 (2/13)PT 39151BDMedium
PT 39 12-18 (2/13)PT 39161DVery Easy
PT 39 12-18 (2/13)PT 39171DEasy
PT 39 12-18 (2/13)PT 39181DVery Easy
PT 38 1-7 (5/7)PT 3812EEasy
PT 38 1-7 (5/7)PT 3822DEasy
PT 38 1-7 (5/7)PT 3832CEasy
PT 38 1-7 (5/7)PT 3842DEasy
PT 38 1-7 (5/7)PT 3852DEasy
PT 38 1-7 (5/7)PT 3862EVery Easy
PT 38 1-7 (5/7)PT 3872EEasy
PT 38 8-13 (2/12)PT 3882CMedium
PT 38 8-13 (2/12)PT 3892AEasy
PT 38 8-13 (2/12)PT 38102BEasy
PT 38 8-13 (2/12)PT 38112AMedium
PT 38 8-13 (2/12)PT 38122DEasy
PT 38 8-13 (2/12)PT 38132EEasy
PT 37 6-11 (3/7)PT 3763AVery Easy
PT 37 6-11 (3/7)PT 3773BEasy
PT 37 6-11 (3/7)PT 3783CEasy
PT 37 6-11 (3/7)PT 3793AEasy
PT 37 6-11 (3/7)PT 37103BEasy
PT 37 6-11 (3/7)PT 37113EVery Easy
PT 37 19-24 (1/8)PT 37193AEasy
PT 37 19-24 (1/8)PT 37203AVery Easy
PT 37 19-24 (1/8)PT 37213DVery Easy
PT 37 19-24 (1/8)PT 37223BCMedium
PT 37 19-24 (1/8)PT 37233BEasy
PT 37 19-24 (1/8)PT 37243CEasy
PT 36 7-13 (1/8)PT 3674EVery Easy
PT 36 7-13 (1/8)PT 3684AEasy
PT 36 7-13 (1/8)PT 3694CEasy
PT 36 7-13 (1/8)PT 36104CMedium
PT 36 7-13 (1/8)PT 36114AEasy
PT 36 7-13 (1/8)PT 36124ABMedium
PT 36 7-13 (1/8)PT 36134BEasy
PT 36 14-18 (1/13)PT 36144EHard
PT 36 14-18 (1/13)PT 36154ADHard
PT 36 14-18 (1/13)PT 36164DBHard
PT 36 14-18 (1/13)PT 36174BDHard
PT 36 14-18 (1/13)PT 36184CBHard
PT 36 19-23 (1/10)PT 36194AEasy
PT 36 19-23 (1/10)PT 36204CMedium
PT 36 19-23 (1/10)PT 36214DEHard
PT 36 19-23 (1/10)PT 36224CMedium
PT 36 19-23 (1/10)PT 36234DMedium
PT 35 13-17 (1/11)PT 35133AVery Easy
PT 35 13-17 (1/11)PT 35143BEasy
PT 35 13-17 (1/11)PT 35153CVery Easy
PT 35 13-17 (1/11)PT 35163EEasy
PT 35 13-17 (1/11)PT 35173EEasy
PT 35 18-23 (1/13)PT 35183CEasy
PT 35 18-23 (1/13)PT 35193ACMedium
PT 35 18-23 (1/13)PT 35203EVery Easy
PT 35 18-23 (1/13)PT 35213DEasy
PT 35 18-23 (1/13)PT 35223AVery Easy
PT 35 18-23 (1/13)PT 35233EEasy
PT 34 1-7 (2/11)PT 3414CVery Easy
PT 34 1-7 (2/11)PT 3424EAHard
PT 34 1-7 (2/11)PT 3434BMedium
PT 34 1-7 (2/11)PT 3444DMedium
PT 34 1-7 (2/11)PT 3454AMedium
PT 34 1-7 (2/11)PT 3464ECHard
PT 34 1-7 (2/11)PT 3474BMedium
PT 34 13-18 (2/7)PT 34134CEasy
PT 34 13-18 (2/7)PT 34144AMedium
PT 34 13-18 (2/7)PT 34154EVery Easy
PT 34 13-18 (2/7)PT 34164BMedium
PT 34 13-18 (2/7)PT 34174EEasy
PT 34 13-18 (2/7)PT 34184CEasy
PT 33 1-5 (4/5)PT 3314CVery Easy
PT 33 1-5 (4/5)PT 3324AVery Easy
PT 33 1-5 (4/5)PT 3334EEasy
PT 33 1-5 (4/5)PT 3344DEasy
PT 33 1-5 (4/5)PT 3354BVery Easy
PT 32 12-18 (2/9)PT 32123AEasy
PT 32 12-18 (2/9)PT 32133EEasy
PT 32 12-18 (2/9)PT 32143AMedium
PT 32 12-18 (2/9)PT 32153EEasy
PT 32 12-18 (2/9)PT 32163CEasy
PT 32 12-18 (2/9)PT 32173CMedium
PT 32 12-18 (2/9)PT 32183DEasy
PT 30 6-10 (2/14)PT 3061DMedium
PT 30 6-10 (2/14)PT 3071AEasy
PT 30 6-10 (2/14)PT 3081AVery Easy
PT 30 6-10 (2/14)PT 3091DMedium
PT 30 6-10 (2/14)PT 30101CMedium
PT 30 11-16 (3/12)PT 30111BEasy
PT 30 11-16 (3/12)PT 30121AEasy
PT 30 11-16 (3/12)PT 30131BEasy
PT 30 11-16 (3/12)PT 30141EEasy
PT 30 11-16 (3/12)PT 30151BMedium
PT 30 11-16 (3/12)PT 30161AB/DHard
PT 30 17-23 (2/8)PT 30171BEasy
PT 30 17-23 (2/8)PT 30181CEasy
PT 30 17-23 (2/8)PT 30191CMedium
PT 30 17-23 (2/8)PT 30201DVery Easy
PT 30 17-23 (2/8)PT 30211AMedium
PT 30 17-23 (2/8)PT 30221AMedium
PT 30 17-23 (2/8)PT 30231DEasy
PT 29 14-19 (4/8)PT 29143AVery Easy
PT 29 14-19 (4/8)PT 29153EEasy
PT 29 14-19 (4/8)PT 29163CMedium
PT 29 14-19 (4/8)PT 29173CMedium
PT 29 14-19 (4/8)PT 29183AEasy
PT 29 14-19 (4/8)PT 29193DCVery Hard
PT 29 20-24 (3/13)PT 29203EEasy
PT 29 20-24 (3/13)PT 29213AEasy
PT 29 20-24 (3/13)PT 29223BEMedium
PT 29 20-24 (3/13)PT 29233DMedium
PT 29 20-24 (3/13)PT 29243EBMedium
PT 28 1-5 (2/7)PT 2812BVery Easy
PT 28 1-5 (2/7)PT 2822EVery Easy
PT 28 1-5 (2/7)PT 2832EVery Easy
PT 28 1-5 (2/7)PT 2842BEMedium
PT 28 1-5 (2/7)PT 2852CVery Easy
PT 28 13-18 (1/8)PT 28132DVery Easy
PT 28 13-18 (1/8)PT 28142CEasy
PT 28 13-18 (1/8)PT 28152BEasy
PT 28 13-18 (1/8)PT 28162BVery Easy
PT 28 13-18 (1/8)PT 28172DMedium
PT 28 13-18 (1/8)PT 28182DEasy
PT 27 1-6 (1/9)PT 2712EEasy
PT 27 1-6 (1/9)PT 2722EMedium
PT 27 1-6 (1/9)PT 2732CEasy
PT 27 1-6 (1/9)PT 2742CEasy
PT 27 1-6 (1/9)PT 2752DMedium
PT 27 1-6 (1/9)PT 2762BVery Easy
PT 26 1-7 (1/10)PT 2611CVery Easy
PT 26 1-7 (1/10)PT 2621BVery Easy
PT 26 1-7 (1/10)PT 2631AVery Easy
PT 26 1-7 (1/10)PT 2641DVery Easy
PT 26 1-7 (1/10)PT 2651EVery Easy
PT 26 1-7 (1/10)PT 2661AMedium
PT 26 1-7 (1/10)PT 2671DVery Easy
PT 26 8-12 (2/11)PT 2681CVery Easy
PT 26 8-12 (2/11)PT 2691EEasy
PT 26 8-12 (2/11)PT 26101AVery Easy
PT 26 8-12 (2/11)PT 26111CEasy
PT 26 8-12 (2/11)PT 26121AVery Easy
PT 25 13-18 (4/16)PT 25133CEasy
PT 25 13-18 (4/16)PT 25143ABVery Hard
PT 25 13-18 (4/16)PT 25153DVery Easy
PT 25 13-18 (4/16)PT 25163CEasy
PT 25 13-18 (4/16)PT 25173BAHard
PT 25 13-18 (4/16)PT 25183CMedium
PT 25 19-24 (1/12)PT 25193EVery Easy
PT 25 19-24 (1/12)PT 25203DVery Easy
PT 25 19-24 (1/12)PT 25213AMedium
PT 25 19-24 (1/12)PT 25223ABHard
PT 25 19-24 (1/12)PT 25233AHard
PT 25 19-24 (1/12)PT 25243DEasy
PT 24 6-10 (2/6)PT 2464AVery Easy
PT 24 6-10 (2/6)PT 2474BEasy
PT 24 6-10 (2/6)PT 2484CVery Easy
PT 24 6-10 (2/6)PT 2494EEasy
PT 24 6-10 (2/6)PT 24104AEasy
PT 23 1-5 (3/6)PT 2311BVery Easy
PT 23 1-5 (3/6)PT 2321DEasy
PT 23 1-5 (3/6)PT 2331BVery Easy
PT 23 1-5 (3/6)PT 2341CVery Easy
PT 23 1-5 (3/6)PT 2351DMedium
PT 22 8-14 (1/8)PT 2283BVery Easy
PT 22 8-14 (1/8)PT 2293BMedium
PT 22 8-14 (1/8)PT 22103DMedium
PT 22 8-14 (1/8)PT 22113BEasy
PT 22 8-14 (1/8)PT 22123BMedium
PT 22 8-14 (1/8)PT 22133AEasy
PT 22 8-14 (1/8)PT 22143AVery Easy
PT 21 12-17 (3/7)PT 21121DEasy
PT 21 12-17 (3/7)PT 21131DMedium
PT 21 12-17 (3/7)PT 21141BMedium
PT 21 12-17 (3/7)PT 21151EMedium
PT 21 12-17 (3/7)PT 21161EAMedium
PT 21 12-17 (3/7)PT 21171AMedium
PT 20 1-5 (1/6)PT 2013AMedium
PT 20 1-5 (1/6)PT 2023AEasy
PT 20 1-5 (1/6)PT 2033DEasy
PT 20 1-5 (1/6)PT 2043AEasy
PT 20 1-5 (1/6)PT 2053BMedium
PT 20 19-24 (2/7)PT 20193EMedium
PT 20 19-24 (2/7)PT 20203CEasy
PT 20 19-24 (2/7)PT 20213DEasy
PT 20 19-24 (2/7)PT 20223DEasy
PT 20 19-24 (2/7)PT 20233BEasy
PT 20 19-24 (2/7)PT 20243CMedium
PT 19 1-7 (2/5)PT 1911BVery Easy
PT 19 1-7 (2/5)PT 1921EVery Easy
PT 19 1-7 (2/5)PT 1931CVery Easy
PT 19 1-7 (2/5)PT 1941EMedium
PT 19 1-7 (2/5)PT 1951DMedium
PT 19 1-7 (2/5)PT 1961DEasy
PT 19 1-7 (2/5)PT 1971CBHard
PT 67 6-11 (3/11)PT 6763B
PT 67 6-11 (3/11)PT 6773BD
PT 67 6-11 (3/11)PT 6783E
PT 67 6-11 (3/11)PT 6793A
PT 67 6-11 (3/11)PT 67103E
PT 67 6-11 (3/11)PT 67113C
PT 67 12-16 (3/8)PT 67123E
PT 67 12-16 (3/8)PT 67133D
PT 67 12-16 (3/8)PT 67143A
PT 67 12-16 (3/8)PT 67153B
PT 67 12-16 (3/8)PT 67163A
PT 68 1-5 (2/12)PT 6814CEHard
PT 68 1-5 (2/12)PT 6824AVery Easy
PT 68 1-5 (2/12)PT 6834BAHard
PT 68 1-5 (2/12)PT 6844CAHard
PT 68 1-5 (2/12)PT 6854EBHard
PT 68 11-16 (3/10)PT 68114BAVery Hard
PT 68 11-16 (3/10)PT 68124EAVery Hard
PT 68 11-16 (3/10)PT 68134AVery Easy
PT 68 11-16 (3/10)PT 68144CAVery Hard
PT 68 11-16 (3/10)PT 68154EAVery Hard
PT 68 11-16 (3/10)PT 68164CAVery Hard
PT 68 17-23 (3/12)PT 68174CAVery Hard
PT 68 17-23 (3/12)PT 68184ACHard
PT 68 17-23 (3/12)PT 68194EAVery Hard
PT 68 17-23 (3/12)PT 68204BAVery Hard
PT 68 17-23 (3/12)PT 68214EAVery Hard
PT 68 17-23 (3/12)PT 68224DAHard
PT 68 17-23 (3/12)PT 68234CAVery Hard
PT 66 1-5 (1/6)PT 6613E
PT 66 1-5 (1/6)PT 6623E
PT 66 1-5 (1/6)PT 6633B
PT 66 1-5 (1/6)PT 6643A
PT 66 1-5 (1/6)PT 6653C
PT 66 6-11 (1/6)PT 6663E
PT 66 6-11 (1/6)PT 6673A
PT 66 6-11 (1/6)PT 6683C
PT 66 6-11 (1/6)PT 6693D
PT 66 6-11 (1/6)PT 66103B
PT 66 6-11 (1/6)PT 66113D
PT 66 18-23 (1/7)PT 66183A
PT 66 18-23 (1/7)PT 66193C
PT 66 18-23 (1/7)PT 66203A
PT 66 18-23 (1/7)PT 66213C
PT 66 18-23 (1/7)PT 66223B
PT 66 18-23 (1/7)PT 66233C