Developing a LoR-Meta score

I Introduction

If you are/were interested in Hearthstone, its metagame and its “data” you probable know about vicioussyndicate (vS)

Among the data they provide probably one of the most interesting is the “Meta Score”

From their F.A.Q.

Q: What is the meaning of the Meta Score and how do you compute it?

The Meta Score is a supplementary metric that measures each archetype’s relative standing in the meta, based on both win rate and prevalence, and in comparison to the theoretical “best deck”.

How is it computed?

…

1. We take the highest win rate recorded by a current archetype in a specific rank group, and set it to a fixed value of 100. We then determine the fixed value of 0 by deducting the highest win rate from 100%. For example, if the highest win rate recorded is 53%, a win rate of 47% will be set as the fixed value of 0. This is a deck’s Power Score. The range of 47% – 53%, whose power score ranges from 0 to 100, will contain “viable” decks. The length of this range will vary depending on the current state of the meta. Needless to say, it is possible for a deck to have a negative power score, but it can never have a power score that exceeds 100.

2. We take the highest frequency recorded by a current archetype in a specific rank group, and set it to a fixed value of 100. The fixed value of 0 will then always be 0% popularity. This is a deck’s Frequency Score. A deck’s frequency score cannot be a negative number.

3. We calculate the simple average of a deck’s Power Score and Frequency Score to find its vS Meta Score. The vS Meta Score is a deck’s relative distance to the hypothetical strongest deck in the game. Think of Power Score and Frequency Score as the coordinates (x, y) of a deck within a Scatter Plot. The Meta Score represents its relative placement in the plane between the fixed values of (0, 0) and (100,100).

4. If a deck records both the highest popularity and the highest win rate, its Meta Score will be 100. It will be, undoubtedly, the best deck in the game.

The final result usually looks like this

The size of the circles represent the meta score, the bigger it is the bigger the value.

Now, before asking ourselves to translate this methodology in LoR, what’s the theory behind the Meta Score?

The Meta Score, in this case a LoR-Meta Index (LMI) is an extremely simple example of a Composite Indicator (CI).

A composite indicator is the result of combining multiple variables usually into a single value. If you ever heard of a ranking among cities / companies / universities, and so on, chances are that it’s done with a Composite Indicator.

In my opinion, even among other statistic’s fields, creating a CI is more like an art. There is no perfect indicator (as there’s no perfect model ) at most there good and bad indicators. Even if their creation can be entirely data driven, most of the works stem from a theoretical framework that it’s very subjective. There are 10 main steps and each one of them can highly change the overall result. This doesn’t mean that one can’t trust a CI, there are ways of checking the quality of a CI but that’s almost an entirely problem I won’t tackle for this case-study.

While building a CI can be quite the challenge, creating a LMI is not as hard as some of the required steps are (in this case) not necessary or quite simplified.

1 Defining our parameter of interest (Framework)

The objective of the CI is to measure the “strength” of the current meta decks. Usually the context and more details are added but overall that stength is a combination of “win rates”, “play rates”, “consistency” and probably other variables I don’t remember here, in the context of LoR I would probably add something like maybe “the ability to interact with the opponent”.

The definition I’ll use is the following

The performance of a deck is defined by its own strength and popularity inside the metagame.

2 Data selection

Sadly, for now, this step it’s way simplified: to measure the strength I’m going to use the win rate and to measure the popularity I’ll use the play rate. ¹

The variables have been selected, but what about their values? Do we keep everything or filter them? To check this point let’s try to simply compute the LMI and take the 10 highest values without filters. (Fig. 2.1)

Figure 2.1: LMI no filter

While it may seems like there’s an error, sadly the graph is not wrong. If we keep all data (Appendix A.1 ) , aside for the first 2 values of the LMI (corresponding to Nasus/Thresh and Azir/Irelia) the remaining 8 points are all at the coordinate (0,1) with Meta Score of 0.5.

Without filtering we left the outlier cases of 100% WR decks that also have a very small playrate. With this the “WR index” correspond the raw WR² and just the frequencies are modified.

In order to find just the third point that’s not an outlier, we have to reach the 72° deck (Draven/Ez with a meta score of 0.45). While some choices about how to measure the index could deal with these extreme cases it’s not a good choice, it’s best to remove them from the start. Let’s try to remove the cases with less than 100/200/300 games.

A quick look at the summary (below) of WR suggest that 200/300 gives similar results. Looking at PlayRate doesn’t really makes sense as the value is directly tied to the number of games played.

Summary with Filter at 100:

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  0.2901  0.4271  0.4694  0.4599  0.4968  0.5932

Summary with Filter at 200:

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  0.3394  0.4463  0.4750  0.4691  0.4940  0.5932

Summary with Filter at 300:

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##  0.3394  0.4487  0.4761  0.4730  0.4975  0.5932

To help me deciding I also created the Meta-score plots with the vS methodoly at the 3 benchmark for the filter.

Note: the following plots only needs to give an idea about the distribution of the decks on WR and Play Rate. The specific values for each deck are not of interest here.

Figure 2.2: LMI filter at 100 (vS)

Figure 2.3: LMI filter at 200 (vS)

Figure 2.4: LMI filter at 300 (vS)

The first thing that comes to notice is that no matter what there are probably too many values near 0 of the Freq Index. This will be important in the next steps.

Overall, there are some minor changes jumping from 100 to 200 games min and a bit less from 200 to 300.

Filtering at 100 games may be too low as benchmark as the values are still too sensible to the sample size.

300 games seems ok but may be too harsh at removing “sleeper decks”, one need to consider that the sample sizes of LoR - Master rank data are not that high, so now it the filter may be too harsh, for now.

Also, worth noticing, the point’s radius doesn’t seems to change much for the plotted points and the radius here is proportional the LMI suggesting that the range of the index (for positive values) is a bit limited and it is confirmed when looking at the tabular data. (Appendix A.2 )

So are we done? No, we haven’t even started. Let’s explain the following point to consider when creating a CI.

3 Normalization

Normalization usually refer to the process of rescaling a variable so that its domain is [0,1]

To compute the vS Meta score we don’t use the raw values of WR and playrate but the rescaled ones obtained following the rules described at the start. Usually this is done in order to bring the different variables to a more common scale, and, from a certain point of view the raw data are already like that, or at least they have theoretically the same range, but, their effect range is quite different and so is their variability.

In order to understand the value (and necessity of this process) it’s better to also show what would have been the results without such process.

Figure 3.1: LMI with no Normalization

From 3.1 it’s possible to see how, without normalization, we are completely at the mercy of the raw data and their “limitations”.

For WR we have the problem that the values are limited to a small interval.

For Play rate not only it’s limited to a small interval but the data are quite skewed too with an heavy right tail and everything else concentrated around of the 0.005. This is most likely a sistematic problem in the data compared to HS, at least looking at vS. In their latest meta report (#197) even the smallest (reported) archetype have a decent 2.62% play rate. Sure there are many more decks that have a lower playrate but still the distribution looks less skewed without a huge discrepancy from the top.

The variables’ limitation is reflected of course in the LMI. See Fig. 3.2 to compare the LMI distribution with and without normalization and Table A.3 to consult the data without normalization.

Figure 3.2: Comparing LMI distribution with and without normalizazion (vS methodology)

It can be seen the normalization here allows for a wider range of values being able to discern better the differences between each deck. As written at the start, it’s not that without normalization the index is not working as intended, that the index is wrong, but it’s not doing a good job, it’s a bad index. So, now that the role of normalization is clearer, how is it done? The choice is actually tied with the following step but here are the most common methods:

• Min-max: \(I_i= \frac{x_i - max(x)}{max(x) - min(x)}\) the min and max value are 0 and 1, everything else is scaled between them
• Standardization \(I_i = \frac{x_i - \mu_x}{\sigma_x}\) centered around the mean and with standard deviation equal to 1
• Distance to a reference \(I_i = \frac{x_i}{x_c}\) each value is the ratio against a reference value
• Rank \(I_i = rank(x_i)\) self-explanatory
• Quantile empircal distribution \(I_i = \frac{rank(x_i)}{N+1}\)

and so many more.

The normalization used for the vS-Meta score are modified example of of the min-max normalization. For the “Freq Score” there’s almost no difference from minmax as long as there’s a value with playrate almost equal to 0. For the “Power Score” (WR Index) the “min” and 1-max(WR) instead of the min(WR) in the data. I think the reason for using such method for the Power Score, is as follows: while by itself the distribution of WR is overall quite good. it wouldn’t be surprising if top decks had a win rate too much similar so limiting the effect of the power-score.

3.1 MinMax normalization

The resulting values of the Freq Index are the ones I’m more interested too see how how they are affected by the normalization.

In addition to testing the rescaling to the raw values I’ll also test with the log-transformation and root-squared-transformation (sqrt) of playrate in order to deal with the high unbalance of its values. I’m aware that both transformations are not scale-invariant and for some people it may give too much value to deck with a small playrate.

Yet, not being stuck with scale-invariant processes is really limiting and I think this is a point worth considering in the context of Legends of Runeterra (and MtG most likely). In LoR decks are created around champions and regions, so the possible combinations are quite a lot and many of these can be good without being “meme decks”. This is the sistematic problem mentioned before this section and it means that the game is bound to be filled of decks with small playrates deck and only a selected few with a very high value resulting in a distribution that’s very right tailed.

I’ll start by showing the different distribution on Freq Index (Fig. 3.3) and then showing the resulting LMI (Fig. 3.4)

Figure 3.3: Boxplot of Freq Index when applying minmax normalization to: raw values / log-transformation / sqrt

The log-transformation seems to reduce well the skewness, the question is if it reduce it too much and the sqrt is more appropriate for this case study. I computed LMI for each case (Appendix A.4) and looked at the LMI distribution (Fig. 3.4)

Figure 3.4: Boxplot of LMI when applying: vS / minmax / log trasnformation + minmax / sqrt + minmax

Compared to the vS-methodology, just using the minmax normalization gives the most similar results. When using the log or sqrt transformation of playrate all the values of LMI are bigger, which is as expected as we don’t penalize as much small playrates. Again, There is no correct answer, it depends on what’s the objective of the index. For example if we wanted to limit the results to just the top n highest decks, not adding a transformation may actually be more interesting as we would see bigger differences. Since I want to convey all the values then reducing the skewness may be more appropriate and would opt for the log-transformation.

Figure 3.5: LMI / filter at 200 / log-tranformation of playrate / Minmax normalization

In the scatter plot it seems that the main “aestetic” difference is that the points are more aggregated to the right side of the chart because of all the high values of WR index. It’s not like this is wrong and it’s sort of obvious that the highest values of LMI correspond at high values of WR. Compared to the vS-methology it’s also possible to notice an higher variance of LMI among the top values. This approach seems to work “better” overall.

3.2 Quantile normalization

Note: instead of the proper formula, I’ll use \(I_i = \frac{rank(x_i)}{N}\). The reason being so that the highest value is always 1.

When using the quantile normalization, boxplots and other summaries of the transformed distributions are useless since such normalization will result into a uniform distribution. (Fig. B.1 )

Figure 3.6: LMI / filter at 200 / Quantile normalization

I actually like this result compared to the minmax one. While the obvious critique is that decks like Azir/Irelia and Nasus/Thresh are not “a class of their own” like the raw data suggest (high WR but also extremely high playrate) this methodology not only cover well the spectrum of values for LMI but also for WR and Freq. Since it can further be improved I’ll continue now with the next steps using the Quantile normalization.

Another type of normalization is working with ranks. But since that directly translate in the following steps I’ll cover it later.

4 Aggregation (and weighting)

This step comprehend two equally important procedures: Decide how the importance/relevance of each variable when computing the index and how to aggregate those values.

Regarding the weighting we can’t really do that much. Either we opt for the same weight (0.50/0.50) without changing anything from the current metholody or the opt for any other justified convex combination.

Since in my opinion the Win rate is more important than play rate to measure the strength of a deck I’ll try assigning the (0.75,0.25) and (\(\frac{2}{3}\),\(\frac{1}{3}\)) more as a test. If people are interested in this topic I may try to poll the general opinion about the proper weight (Weight by public opinion / Delphi).

Regarding the aggregation methods, while there are infinite possibilities the main question is: should the variable have compensatory properties?

What it means in this case is: can a drop in Win rate be compensated by an higher value in play rate for the overall results (and viceversa)? By using an arithmetic mean we have full compensability, a drop of 0.2 in WR score can be compensated with an increase of 0.2 of Freq score. This property is problably the main reason I wanted to tackle the vS methodolgy as not only I don’t think this should be a case of full compensability but the results are affected by their normalization of choice. Again, it’s not that their method is wrong. But I think it can be improved, at least for LoR.

So, what are the alternatives to the aritmetic means? All the power mean of order r actually, and all of the other have different level of compensability. Usually the most common choices are:

• Geometric mean: \(\mu = \prod_{i=1}^{n}x_{i}^{w_i}\)

partial compensability, equal to zero if any variable is zero

• Harmonic mean: \(\mu = \left(\sum_{i=1}^{n}\frac{w_i}{x_{i}}\right)^{-1}\)

partial compensability, less than the geometric mean, not defined is a variable is equal to zero

\(x_i\) are the variable values of index i and \(w_i\) their corresponding weight

This two formulas are also a reason why I can appreciate the quantile normalization more than the minmax, because of the values I would obtain. With the minmax I would also have at most two decks with a zero in them and I wanted to avoid this case.

So, with 3 different weighting vectors and 3 aggregation methods to compare we have 9 different results to compare (Tab.A.6. And this is as extremely simple case…

… still, my decision about how to compute the LMI in this process is relatively simple. Unless I want to give to “Freq Ind” compared to “WR Ind”, I don’t think there’s the necessity to use a weighted mean, it would only accentuate the skewness I wanted to deal with. The remaining choice is between the 3 proposed means, I don’t want full compensability so I exclude the aritmetic mean, then since I used a quantile normalization that gives a uniform distribution but I still want to penalize “the origina small values”, the harmonic mean is the harsher of the two.

Figure 4.1: LMI / filter at 200 / Quantile normalization / Harmonic mean

5 Ranking methods

The remaining steps are related to the validation of an Index, the visualization process and other quality checks, the aggregation was the last steps of the “computation phase”. This “quality checks” are a vast topic but it’s not really necessary for such simple CI. So, now, as mentioned right before the aggregation step, I’ want to I’ll try to use a different approach to Normalization and Aggregation: working with ranks. It means that the variable are reduced to their ranking order. Of course this is only possibles with variables that can be ordered, so for example not with most categorical data. The order of course doesn’t have to be from the max to the min, it depends of the correlation between the variables and the objective of the Index. For example if we won’t an “Environmental Index”, CO2 levels can be ranked from the min to the max. Transforming the direction of a variable can be used also in the previous context but here it’s as, if not more important. I’ll only introduce one ranking method: Borda ranking method.

5.1 Aggregating Ranks: Borda

The method is quite simple: first of all, for each item in a variable we assign a value corresponding at how high the item is ranked.

Example If we have 5 values for the variable X: (0.6,0.4,1,0,0.2) their ranking is -> (2,3,1,5,4) -> if we give 0 point to the min value, 1 to the second to last and so on until N-1 (with N the number of values of X) we have the result points -> (3,2,4,0,1). In order to improve a little the results and readability I’ll change a little the rules by giving from 1 to N points.

We repeat this for each variable and then we sums the point by rows.

It’s also possible to aggregate ranks simply by computing their mean / median. There are also more complex method like Copeland, CKYL but they are “wasted” with only two variables. In case this Index is expanded in the future I may try to use them.

As usual the results can be consulted in the Appendix A.7

Figure 5.1: LMI / filter at 200 / Borda method

Fig.5.1 is the only case it this case study where we can’t maintain the same axis range as we are dealing with the ranks. Also, here it’s possible to understand why I decided to assign N and not N-1 point to the first ranked, so that the theoretical best deck would be at coordinate (N,N) instead of (N-1,N-1) which would have been a bit less intuitive. it also mean that the worst theoretical deck instead of being at (0,0) now it would be at (1,1).

If the plot seems similar to the Quantile one (4.1) it’s because it is, the quantile normalization is pretty much a conversion to the ranks. Does it means that they are equal? No. There are advantage and disadvantage for each choice. Personally I would give an edge to the Quantile and the other (not-ranbking methods) as there are more options when using a linear scale.

6 LMI

As explained in the previous steps, to compute the LMI I currently decide to use the following methodology:

• Filtering data with less than 200 games
• Using the variables: Win Rates / Play Rate
• Quantile normalization
• Harmonic Mean as aggregation

The result is the following plot. In this case it’s possible to hover on each point to see their values. I also modified the range of the points’ radius to accentuate the differences.

And of course the data in a tabular format, ordered by decreasing LMI.

To conclude, I hope this work can be a foundation for more elaborate discussions and think how the index can be improved / expanded. The Riot API may not provide a lot of data, but there is still already so much can be done.

Appendix

A Appendix

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Table A.1: Data filtered of decks without at least 200 games

n	Deck	WR index	Freq ind	LMI
1	Azir / Irelia	0.55	1.00	0.78
2	Nasus / Thresh	0.54	0.81	0.67
3	Draven (NX/SH)	1.00	0.00	0.50
4	Jarvan IV / Taric / Zoe	1.00	0.00	0.50
5	Darius / Draven / Teemo	1.00	0.00	0.50
6	Aphelios / Leona (IO/MT)	1.00	0.00	0.50
7	Sivir / Taliyah (FR/SH)	1.00	0.00	0.50
8	Fiora / Garen / Shyvana (DE/FR)	1.00	0.00	0.50
9	Lissandra / Renekton / Sivir	1.00	0.00	0.50
10	Draven / LeBlanc / Lucian / Riven	1.00	0.00	0.50
11	Karma / Lee Sin / Riven	1.00	0.00	0.50
12	Draven / LeBlanc / Teemo	1.00	0.00	0.50
13	Garen / Jarvan IV / Shyvana (DE/MT)	1.00	0.00	0.50
14	Aurelion Sol / Trundle / Zoe	1.00	0.00	0.50
15	Aphelios / Tahm Kench	1.00	0.00	0.50
16	Darius / Riven (FR/NX)	1.00	0.00	0.50
17	Vi (IO/PZ)	1.00	0.00	0.50
18	Braum / Garen / Trundle	1.00	0.00	0.50
19	Lulu / Shen / Zed (DE/IO)	1.00	0.00	0.50
20	Taric / Vi	1.00	0.00	0.50
21	Championless (NX)	1.00	0.00	0.50
22	Aphelios / Taric (DE/MT)	1.00	0.00	0.50
23	Aphelios / Aurelion Sol / Zoe (FR/MT)	1.00	0.00	0.50
24	Aphelios / Draven	1.00	0.00	0.50
25	Trundle / Zed	1.00	0.00	0.50
26	Swain / Teemo	1.00	0.00	0.50
27	Tahm Kench / Taliyah	1.00	0.00	0.50
28	Renekton (SI/SH)	1.00	0.00	0.50
29	Lissandra / Shyvana	1.00	0.00	0.50
30	Tryndamere / Zed	1.00	0.00	0.50
31	Maokai	1.00	0.00	0.50
32	Taric / Zoe (MT/PZ)	1.00	0.00	0.50
33	Ashe / Zed	1.00	0.00	0.50
34	Kalista / Nocturne (SI/SH)	1.00	0.00	0.50
35	Sivir (IO/SH)	1.00	0.00	0.50
36	Kalista / Zilean	1.00	0.00	0.50
37	Lux / Shen	1.00	0.00	0.50
38	Ashe / Vi	1.00	0.00	0.50
39	Soraka (BW/MT)	1.00	0.00	0.50
40	Fizz / Twisted Fate (BW/SI)	1.00	0.00	0.50
41	Braum / Irelia	1.00	0.00	0.50
42	Trundle / Vladimir	1.00	0.00	0.50
43	Zed (IO/SI)	1.00	0.00	0.50
44	Ashe / Trundle (FR/SI)	1.00	0.00	0.50
45	Anivia / Aurelion Sol	1.00	0.00	0.50
46	Kindred / Maokai (BW/SI)	1.00	0.00	0.50
47	Riven / Swain (FR/NX)	1.00	0.00	0.50
48	Ashe / Draven	1.00	0.00	0.50
49	Elise / Kalista / Nocturne (DE/SI)	1.00	0.00	0.50
50	Thresh / Twisted Fate	1.00	0.00	0.50
51	Braum / Sejuani / Tryndamere / Zoe	1.00	0.00	0.50
52	Aphelios / Zoe (FR/MT)	1.00	0.00	0.50
53	Tahm Kench (BW/SI)	1.00	0.00	0.50
54	Elise / Riven	1.00	0.00	0.50
55	Karma / Lee Sin / Teemo	1.00	0.00	0.50
56	Sivir / Zilean (DE/SH)	1.00	0.00	0.50
57	Renekton / Taliyah	1.00	0.00	0.50
58	Garen (DE/IO)	1.00	0.00	0.50
59	Elise / Maokai / Nautilus	1.00	0.00	0.50
60	Lissandra / Trundle / Yasuo	1.00	0.00	0.50
61	Draven / Ezreal / Riven	1.00	0.00	0.50
62	Swain / Vladimir (BW/NX)	1.00	0.00	0.50
63	Elise / Hecarim / Nocturne (SI/SH)	1.00	0.00	0.50
64	Garen / Katarina / Riven	1.00	0.00	0.50
65	Gangplank / Sivir / Zilean	1.00	0.00	0.50
66	Azir / Sivir (FR/SH)	1.00	0.00	0.50
67	Sejuani / Viktor	1.00	0.00	0.50
68	Anivia / Sejuani / Swain	1.00	0.00	0.50
69	Sivir / Swain / Zilean	1.00	0.00	0.50
70	Sejuani (FR/NX)	1.00	0.00	0.50
71	Jarvan IV / Lucian / Thresh	1.00	0.00	0.50
72	Draven / Ezreal	0.52	0.37	0.45
73	Gangplank / Thresh / Twisted Fate	0.89	0.00	0.44
74	Kalista	0.86	0.00	0.43
75	Anivia / Sejuani (FR/SI)	0.86	0.00	0.43
76	Irelia / Zed (DE/IO)	0.83	0.00	0.42
77	Elise / Kindred (FR/SI)	0.83	0.00	0.42
78	Aurelion Sol / Braum / Taric / Zoe	0.83	0.00	0.42
79	Lissandra / Trundle (FR/SI)	0.51	0.29	0.40
80	Darius / Gangplank / Miss Fortune	0.78	0.00	0.39
81	Anivia / Braum (FR/SI)	0.78	0.00	0.39
82	Draven / Jinx	0.53	0.24	0.38
83	Azir / Elise	0.75	0.00	0.38
84	Kalista (SI/SH)	0.75	0.00	0.38
85	Hecarim (SI/SH)	0.75	0.00	0.38
86	Karma / Zilean	0.75	0.00	0.38
87	Azir / Nasus (SI/SH)	0.75	0.00	0.38
88	Azir / LeBlanc	0.75	0.00	0.38
89	Draven / Teemo / Vi	0.75	0.00	0.38
90	Lissandra / Trundle / Tryndamere (FR/SI)	0.75	0.00	0.38
91	Aurelion Sol / Shyvana / Zoe	0.49	0.25	0.37
92	Diana / LeBlanc	0.71	0.00	0.36
93	Sejuani / Tryndamere (FR/SI)	0.71	0.00	0.36
94	Nasus / Renekton (SI/SH)	0.71	0.00	0.35
95	Kalista / Zoe	0.69	0.00	0.35
96	Draven / Riven (DE/NX)	0.68	0.00	0.34
97	Draven / Teemo	0.67	0.00	0.33
98	Elise / Kalista (BW/SI)	0.67	0.00	0.33
99	Aphelios / Aurelion Sol / Shyvana	0.67	0.00	0.33
100	Renekton / Zoe	0.67	0.00	0.33
101	Sejuani / Zilean	0.67	0.00	0.33
102	Kindred / Thresh (NX/SI)	0.67	0.00	0.33
103	Garen / Shyvana (BW/DE)	0.67	0.00	0.33
104	Elise / Thresh (DE/SI)	0.67	0.00	0.33
105	Leona / Zed	0.67	0.00	0.33
106	Garen / Renekton / Sivir	0.67	0.00	0.33
107	Jinx / Teemo (IO/PZ)	0.67	0.00	0.33
108	Nautilus / Twisted Fate (BW/IO)	0.67	0.00	0.33
109	Aphelios / Yasuo	0.67	0.00	0.33
110	Hecarim / LeBlanc	0.67	0.00	0.33
111	Taric / Zoe (DE/MT)	0.67	0.00	0.33
112	Draven / Ezreal / Vi / Viktor	0.67	0.00	0.33
113	Kalista / Nasus / Thresh	0.67	0.00	0.33
114	Nasus / Sejuani / Trundle	0.67	0.00	0.33
115	Zilean (MT/SH)	0.67	0.00	0.33
116	Championless (IO/MT)	0.67	0.00	0.33
117	Lee Sin / Zed (IO/NX)	0.67	0.00	0.33
118	Maokai (SI/SH)	0.67	0.00	0.33
119	Elise / Kalista / Nocturne (SI/SH)	0.67	0.00	0.33
120	Jarvan IV / Shyvana / Taric	0.67	0.00	0.33
121	Kalista / Renekton	0.67	0.00	0.33
122	Sivir (DE/SH)	0.65	0.00	0.32
123	Fiora / Shen / Shyvana	0.64	0.00	0.32
124	Garen / Sivir	0.64	0.00	0.32
125	Katarina / Sejuani	0.64	0.00	0.32
126	Draven / LeBlanc (DE/NX)	0.64	0.00	0.32
127	Azir / Irelia / Zed	0.64	0.00	0.32
128	Draven / Sivir	0.64	0.00	0.32
129	Renekton / Sejuani / Sivir	0.52	0.11	0.32
130	Aurelion Sol (DE/MT)	0.62	0.00	0.31
131	Nasus / Sivir (FR/SH)	0.62	0.00	0.31
132	Darius / Sejuani	0.62	0.00	0.31
133	Vi / Zoe	0.51	0.11	0.31
134	Lissandra / Taliyah	0.48	0.13	0.31
135	Swain / Trundle	0.61	0.00	0.31
136	Draven / Swain (NX/PZ)	0.61	0.00	0.30
137	Draven / Ezreal / Vi	0.59	0.01	0.30
138	Elise / Vi	0.60	0.00	0.30
139	Leona / Vi / Viktor / Zoe	0.60	0.00	0.30
140	LeBlanc / Riven (BW/NX)	0.60	0.00	0.30
141	Fiora / Garen / Shen	0.60	0.00	0.30
142	Nasus / Shyvana	0.60	0.00	0.30
143	LeBlanc / Riven (FR/NX)	0.60	0.00	0.30
144	Darius / Sejuani / Tryndamere	0.60	0.00	0.30
145	Aurelion Sol / Trundle / Tryndamere	0.60	0.00	0.30
146	Aphelios / Soraka (FR/MT)	0.60	0.00	0.30
147	Championless (NX/SI)	0.60	0.00	0.30
148	Darius / Teemo	0.60	0.00	0.30
149	Garen / Shyvana (DE/SI)	0.60	0.00	0.30
150	Nasus / Sivir / Thresh	0.59	0.00	0.30
151	Renekton / Sivir (FR/SH)	0.59	0.00	0.29
152	Elise / Kalista	0.59	0.00	0.29
153	Elise / Kalista (FR/SI)	0.58	0.00	0.29
154	Ashe / LeBlanc	0.48	0.11	0.29
155	Sivir / Zilean (NX/SH)	0.57	0.00	0.29
156	Renekton (DE/SH)	0.58	0.00	0.29
157	Ezreal / Renekton	0.57	0.00	0.29
158	Aurelion Sol / Fiora / Shyvana / Zoe	0.57	0.00	0.29
159	Diana / Viktor	0.57	0.00	0.29
160	Elise / Kalista (SI/SH)	0.57	0.00	0.29
161	Karma (IO/SI)	0.57	0.00	0.29
162	Nocturne / Renekton	0.57	0.00	0.29
163	Aurelion Sol / Kindred / Thresh	0.57	0.00	0.29
164	Elise / Kindred / Twisted Fate	0.57	0.00	0.29
165	Lucian / Renekton	0.57	0.00	0.29
166	Leona / Zoe (MT/NX)	0.57	0.00	0.29
167	Azir / Darius	0.50	0.07	0.28
168	Aurelion Sol / Shyvana	0.48	0.08	0.28
169	Heimerdinger / Zoe	0.56	0.00	0.28
170	Lissandra / Taliyah / Trundle	0.56	0.00	0.28
171	Jarvan IV / Shyvana (DE/MT)	0.56	0.00	0.28
172	Aphelios / Viktor	0.56	0.00	0.28
173	Aphelios / Teemo / Zoe	0.56	0.00	0.28
174	Gangplank / Miss Fortune (BW/NX)	0.52	0.03	0.28
175	Karma / Leona	0.55	0.00	0.28
176	Draven / Katarina / LeBlanc / Teemo	0.55	0.00	0.27
177	Draven (NX/PZ)	0.55	0.00	0.27
178	Aurelion Sol / Lux / Shyvana	0.55	0.00	0.27
179	Fiora / Shyvana (DE/SI)	0.55	0.00	0.27
180	LeBlanc / Lucian	0.55	0.00	0.27
181	Aurelion Sol / Garen	0.54	0.00	0.27
182	Ashe / LeBlanc / Sejuani	0.54	0.00	0.27
183	Trundle / Tryndamere (FR/SI)	0.54	0.00	0.27
184	Draven / Twisted Fate	0.54	0.00	0.27
185	Maokai / Nautilus	0.48	0.06	0.27
186	Darius / Draven (NX/SI)	0.54	0.00	0.27
187	Draven / Riven / Vi	0.54	0.00	0.27
188	Nasus (SI/SH)	0.54	0.00	0.27
189	Miss Fortune / Twisted Fate (BW/PZ)	0.54	0.00	0.27
190	Draven / Ezreal / Swain	0.54	0.00	0.27
191	Draven / Swain (FR/NX)	0.54	0.00	0.27
192	Renekton (NX/SH)	0.54	0.00	0.27
193	Aurelion Sol / Zoe (DE/MT)	0.50	0.04	0.27
194	Diana / Nocturne	0.49	0.04	0.27
195	Jarvan IV / Shen	0.49	0.05	0.27
196	Lee Sin / Zed (IO/MT)	0.53	0.00	0.27
197	Braum (FR/PZ)	0.53	0.00	0.27
198	Elise (NX/SI)	0.47	0.07	0.27
199	Leona / Zoe (MT/SI)	0.53	0.00	0.27
200	Azir / Darius / Draven	0.53	0.00	0.27
201	Lee Sin / Shen / Zed (FR/IO)	0.53	0.00	0.27
202	Jinx / Lulu	0.53	0.00	0.27
203	Aurelion Sol / Shyvana / Soraka	0.53	0.00	0.26
204	Jarvan IV / Shyvana (DE/FR)	0.53	0.00	0.26
205	Braum / Shyvana	0.53	0.00	0.26
206	Lissandra / Taliyah / Zilean	0.51	0.02	0.26
207	Elise / Teemo	0.53	0.00	0.26
208	Aurelion Sol / Leona (DE/MT)	0.52	0.00	0.26
209	Leona / Swain	0.52	0.00	0.26
210	Draven / Jinx / Teemo	0.52	0.00	0.26
211	Ezreal / LeBlanc	0.52	0.00	0.26
212	Draven / Vi	0.52	0.01	0.26
213	Aurelion Sol / Jarvan IV / Shyvana	0.51	0.01	0.26
214	Maokai / Nautilus / Thresh	0.52	0.00	0.26
215	Garen / Kalista	0.51	0.00	0.26
216	Fizz / Twisted Fate (BW/PZ)	0.49	0.03	0.26
217	Fiora / Shyvana (DE/FR)	0.50	0.02	0.26
218	Vi / Viktor / Zoe	0.50	0.01	0.26
219	Ashe / Katarina / LeBlanc	0.50	0.01	0.25
220	Championless (FR/IO)	0.51	0.00	0.25
221	Jarvan IV / Renekton	0.50	0.00	0.25
222	Renekton / Sejuani	0.47	0.03	0.25
223	Teemo (NX/PZ)	0.50	0.00	0.25
224	Lucian / Zed	0.50	0.01	0.25
225	Ashe / Sejuani (FR/NX)	0.50	0.00	0.25
226	Aphelios / Diana (MT/SI)	0.50	0.00	0.25
227	Aphelios / Karma / Zoe	0.50	0.00	0.25
228	Braum / Zoe	0.50	0.00	0.25
229	Katarina / LeBlanc / Sivir	0.50	0.00	0.25
230	Lucian (DE/SI)	0.50	0.00	0.25
231	Gangplank / Renekton	0.50	0.00	0.25
232	Nasus / Swain	0.50	0.00	0.25
233	Sejuani / Tryndamere (FR/MT)	0.50	0.00	0.25
234	Renekton / Shyvana	0.50	0.00	0.25
235	Darius / Trundle	0.50	0.00	0.25
236	Fizz / Gangplank / Twisted Fate (BW/PZ)	0.50	0.00	0.25
237	Renekton	0.50	0.00	0.25
238	Irelia / Quinn	0.50	0.00	0.25
239	Elise / Garen / Shyvana	0.50	0.00	0.25
240	Diana / Sejuani	0.50	0.00	0.25
241	Gangplank / Miss Fortune / Renekton	0.50	0.00	0.25
242	Fizz / Gangplank (BW/PZ)	0.50	0.00	0.25
243	Jarvan IV	0.50	0.00	0.25
244	Kindred (PZ/SI)	0.50	0.00	0.25
245	Hecarim / Sejuani / Tryndamere	0.50	0.00	0.25
246	Darius / Gangplank / LeBlanc	0.50	0.00	0.25
247	Darius / Riven / Taric	0.50	0.00	0.25
248	Draven / Elise	0.50	0.00	0.25
249	Lissandra / Trundle (FR/NX)	0.50	0.00	0.25
250	Darius / LeBlanc (MT/NX)	0.50	0.00	0.25
251	Garen / Jarvan IV (DE/PZ)	0.50	0.00	0.25
252	Leona (DE/MT)	0.50	0.00	0.25
253	Heimerdinger / Vi (PZ/SH)	0.50	0.00	0.25
254	Gangplank / Miss Fortune (BW/IO)	0.50	0.00	0.25
255	Hecarim / Teemo	0.50	0.00	0.25
256	Diana / Draven	0.50	0.00	0.25
257	Championless (BW/FR)	0.50	0.00	0.25
258	Renekton (FR/SH)	0.50	0.00	0.25
259	Elise / Jarvan IV / Shyvana	0.50	0.00	0.25
260	Lulu / Zed (IO/SH)	0.50	0.00	0.25
261	Karma / Shyvana	0.50	0.00	0.25
262	Lissandra / Renekton	0.50	0.00	0.25
263	Lulu / Teemo	0.50	0.00	0.25
264	Braum (FR/IO)	0.50	0.00	0.25
265	Diana / Taric (DE/MT)	0.50	0.00	0.25
266	Braum / Trundle (FR/MT)	0.50	0.00	0.25
267	Darius / LeBlanc (NX/SI)	0.50	0.00	0.25
268	Jarvan IV / Shyvana (DE/SH)	0.50	0.00	0.25
269	Elise / Nocturne (PZ/SI)	0.50	0.00	0.25
270	Sejuani / Trundle (FR/MT)	0.50	0.00	0.25
271	Kindred / Renekton	0.50	0.00	0.25
272	Garen / Jarvan IV / Riven	0.50	0.00	0.25
273	Draven / Katarina / LeBlanc (NX/PZ)	0.50	0.00	0.25
274	Irelia / Thresh	0.50	0.00	0.25
275	Aphelios / Vi / Viktor	0.50	0.00	0.25
276	Ezreal / Vi (BW/PZ)	0.50	0.00	0.25
277	Renekton / Sivir / Zed	0.50	0.00	0.25
278	Aurelion Sol / Sejuani	0.50	0.00	0.25
279	Lulu / Sivir	0.50	0.00	0.25
280	Azir / Kalista	0.50	0.00	0.25
281	Sejuani / Tryndamere (FR/SH)	0.50	0.00	0.25
282	Zed (IO/MT)	0.50	0.00	0.25
283	Ashe / Lucian	0.50	0.00	0.25
284	Azir / Irelia / Taliyah	0.50	0.00	0.25
285	Braum / Sejuani (FR/MT)	0.50	0.00	0.25
286	Ashe (FR/SI)	0.50	0.00	0.25
287	Draven / Lee Sin / Riven	0.50	0.00	0.25
288	Aphelios / Hecarim	0.50	0.00	0.25
289	Kalista (IO/SI)	0.50	0.00	0.25
290	Hecarim / Zoe	0.50	0.00	0.25
291	Riven / Swain / Yasuo	0.50	0.00	0.25
292	Draven / Riven (NX/SH)	0.50	0.00	0.25
293	Irelia / Zed (IO/SH)	0.50	0.00	0.25
294	Miss Fortune / Sejuani / Twisted Fate	0.50	0.00	0.25
295	Renekton / Zilean (BW/SH)	0.50	0.00	0.25
296	Fizz / Lee Sin	0.50	0.00	0.25
297	Elise / Kindred / Zilean	0.50	0.00	0.25
298	Braum / Gangplank	0.50	0.00	0.25
299	Aphelios / Heimerdinger	0.50	0.00	0.25
300	Championless (SI)	0.50	0.00	0.25
301	Aphelios / Zilean	0.50	0.00	0.25
302	Braum / Trundle (FR/NX)	0.50	0.00	0.25
303	Braum / Trundle (FR/SH)	0.50	0.00	0.25
304	Taric / Zoe (IO/MT)	0.50	0.00	0.25
305	Darius / Vi	0.50	0.00	0.25
306	Darius / Riven (IO/NX)	0.50	0.00	0.25
307	Shyvana / Sivir	0.50	0.00	0.25
308	Ashe / Jarvan IV	0.50	0.00	0.25
309	Aurelion Sol / Vi / Viktor / Zoe	0.50	0.00	0.25
310	Azir / Nasus / Renekton / Zilean (SI/SH)	0.50	0.00	0.25
311	Braum / Trundle / Tryndamere (FR/SI)	0.50	0.00	0.25
312	Nasus / Renekton / Sejuani	0.50	0.00	0.25
313	Kalista / Kindred / LeBlanc	0.50	0.00	0.25
314	Gangplank / Kindred / Twisted Fate	0.50	0.00	0.25
315	Elise / Hecarim (SI/SH)	0.50	0.00	0.25
316	Elise / Lulu	0.50	0.00	0.25
317	Aurelion Sol / Zoe	0.50	0.00	0.25
318	Garen / Shyvana (DE/NX)	0.50	0.00	0.25
319	Garen / Shyvana / Soraka	0.50	0.00	0.25
320	Gangplank / Swain	0.50	0.00	0.25
321	Irelia / Sivir / Zed	0.50	0.00	0.25
322	Braum / Teemo	0.50	0.00	0.25
323	Sejuani (FR/MT)	0.50	0.00	0.25
324	Katarina / LeBlanc (NX/PZ)	0.50	0.00	0.25
325	Hecarim / Thresh (BW/SI)	0.50	0.00	0.25
326	Lissandra / Trundle (DE/FR)	0.50	0.00	0.25
327	Gangplank / Twisted Fate	0.50	0.00	0.25
328	Braum / Kindred / Sejuani	0.50	0.00	0.25
329	Garen / Zed	0.50	0.00	0.25
330	Miss Fortune / Twisted Fate (BW/NX)	0.50	0.00	0.25
331	Elise / Kalista (MT/SI)	0.50	0.00	0.25
332	Garen / Leona / Shyvana / Zoe	0.50	0.00	0.25
333	Aphelios / Teemo	0.50	0.00	0.25
334	Draven / Lucian	0.50	0.00	0.25
335	Taliyah / Zilean (MT/SH)	0.50	0.00	0.25
336	Garen / Lucian (DE/MT)	0.50	0.00	0.25
337	Fiora / Taric / Zoe	0.50	0.00	0.25
338	Kalista / Teemo	0.50	0.00	0.25
339	Darius / Sivir	0.50	0.00	0.25
340	Anivia (FR/IO)	0.50	0.00	0.25
341	Braum / Jarvan IV / Shyvana / Trundle	0.50	0.00	0.25
342	Fiora / Garen (DE/FR)	0.50	0.00	0.25
343	Braum / Nautilus	0.50	0.00	0.25
344	Azir / Zoe	0.50	0.00	0.25
345	Katarina / Riven (FR/NX)	0.50	0.00	0.25
346	Swain (NX/SH)	0.49	0.01	0.25
347	Darius / Zed	0.49	0.01	0.25
348	Miss Fortune / Quinn	0.49	0.01	0.25
349	Sejuani / Tryndamere (FR/NX)	0.49	0.00	0.25
350	Fiora / Shen	0.49	0.01	0.25
351	Kalista (DE/SI)	0.45	0.04	0.25
352	Lissandra / Zilean	0.48	0.01	0.25
353	Aphelios / Ezreal	0.49	0.00	0.25
354	LeBlanc / Sivir	0.47	0.02	0.25
355	Aurelion Sol / Thresh	0.48	0.01	0.24
356	Aurelion Sol / Thresh / Zoe	0.49	0.00	0.24
357	Draven / Riven / Zed	0.49	0.00	0.24
358	Gangplank / Sejuani	0.47	0.02	0.24
359	Renekton / Sivir (DE/SH)	0.47	0.02	0.24
360	Elise / Kalista (DE/SI)	0.48	0.01	0.24
361	Ezreal / Sivir	0.49	0.00	0.24
362	Kindred / Nasus	0.48	0.01	0.24
363	Draven / Zed	0.48	0.00	0.24
364	Sejuani / Swain	0.48	0.01	0.24
365	Ezreal / Sejuani / Teemo	0.47	0.01	0.24
366	Championless (DE/SI)	0.45	0.03	0.24
367	Kindred / Nasus / Zilean	0.48	0.00	0.24
368	Diana / Zoe (MT/NX)	0.48	0.00	0.24
369	Darius / Draven (NX/SH)	0.48	0.00	0.24
370	Hecarim / Kindred / Zoe	0.48	0.00	0.24
371	Aphelios / Zoe (IO/MT)	0.48	0.00	0.24
372	Elise / Garen	0.48	0.00	0.24
373	Championless (NX/SH)	0.48	0.00	0.24
374	Lucian / Shyvana (DE/SI)	0.48	0.00	0.24
375	Fiora / Zoe	0.46	0.02	0.24
376	Elise (DE/SI)	0.47	0.00	0.24
377	Championless (SI/SH)	0.47	0.00	0.24
378	Sivir / Teemo	0.48	0.00	0.24
379	Fiora (DE/FR)	0.43	0.05	0.24
380	Lee Sin / Zoe	0.46	0.02	0.24
381	Darius (NX/SH)	0.47	0.00	0.24
382	Shyvana / Taric	0.47	0.00	0.24
383	Aurelion Sol / Zoe (MT/NX)	0.47	0.01	0.24
384	Aphelios / Zoe (MT/SI)	0.47	0.00	0.24
385	Nasus / Zilean (SI/SH)	0.45	0.02	0.24
386	Soraka / Tahm Kench	0.45	0.02	0.24
387	Diana / Zoe (MT/SI)	0.47	0.00	0.24
388	Shyvana (DE/PZ)	0.47	0.00	0.24
389	LeBlanc / Renekton / Sivir	0.47	0.00	0.23
390	Braum / Karma	0.47	0.00	0.23
391	Swain / Twisted Fate	0.46	0.01	0.23
392	Sejuani / Teemo	0.46	0.00	0.23
393	Aurelion Sol / Lissandra	0.47	0.00	0.23
394	Braum / Sejuani / Vladimir	0.47	0.00	0.23
395	Aurelion Sol / Zoe (MT/SI)	0.47	0.00	0.23
396	Fiora / Taric	0.46	0.00	0.23
397	Azir (NX/SH)	0.46	0.01	0.23
398	Zed (FR/IO)	0.43	0.03	0.23
399	Braum / Vi	0.46	0.00	0.23
400	Ezreal / Sejuani	0.46	0.00	0.23
401	Lissandra / Trundle (FR/PZ)	0.46	0.00	0.23
402	Nasus / Zilean (NX/SH)	0.46	0.00	0.23
403	Lissandra (FR/SH)	0.44	0.02	0.23
404	Nautilus (BW/SI)	0.45	0.01	0.23
405	Malphite / Zilean	0.46	0.00	0.23
406	Darius / Renekton	0.46	0.00	0.23
407	Braum / Vladimir	0.44	0.02	0.23
408	Azir / Lucian	0.46	0.00	0.23
409	Viktor / Zoe	0.45	0.01	0.23
410	Shyvana (DE/SI)	0.43	0.03	0.23
411	Twisted Fate (BW/SI)	0.45	0.00	0.23
412	Aurelion Sol / Jarvan IV	0.45	0.00	0.23
413	Aurelion Sol / Jarvan IV / Shyvana / Zoe	0.45	0.00	0.23
414	Sejuani / Trundle (FR/NX)	0.45	0.00	0.23
415	Katarina / Shyvana	0.45	0.00	0.23
416	Elise (FR/SI)	0.45	0.00	0.23
417	Aurelion Sol / Braum	0.45	0.00	0.23
418	Braum / Swain	0.45	0.00	0.23
419	Lissandra / Trundle (FR/SH)	0.45	0.00	0.23
420	Gangplank / Twisted Fate (BW/NX)	0.45	0.00	0.23
421	Shen / Shyvana	0.45	0.00	0.23
422	Shyvana / Zoe	0.45	0.00	0.23
423	Elise / Kindred (PZ/SI)	0.45	0.00	0.22
424	Kindred / Twisted Fate	0.45	0.00	0.22
425	Elise / Renekton	0.45	0.00	0.22
426	Gangplank / Swain / Twisted Fate	0.45	0.00	0.22
427	Zed (IO/NX)	0.43	0.01	0.22
428	Azir (SI/SH)	0.44	0.00	0.22
429	Garen / Jarvan IV (DE/SH)	0.44	0.00	0.22
430	Swain / Zilean	0.44	0.01	0.22
431	Shyvana (DE/SH)	0.44	0.00	0.22
432	Championless (BW/SI)	0.44	0.00	0.22
433	Swain (FR/NX)	0.44	0.00	0.22
434	Jinx / Zoe	0.44	0.00	0.22
435	Lulu (IO/NX)	0.44	0.00	0.22
436	Darius (FR/NX)	0.44	0.00	0.22
437	Renekton / Sivir (MT/SH)	0.44	0.00	0.22
438	Ezreal / Swain	0.44	0.00	0.22
439	Miss Fortune / Renekton	0.44	0.00	0.22
440	Elise / Jinx	0.44	0.00	0.22
441	Draven / Yasuo / Zed	0.44	0.00	0.22
442	Gangplank / Sejuani / Twisted Fate	0.44	0.00	0.22
443	Elise / Swain	0.43	0.00	0.22
444	Azir / Draven	0.43	0.00	0.22
445	Elise (PZ/SI)	0.43	0.00	0.22
446	Elise / Zilean	0.43	0.00	0.22
447	Lucian / Shyvana (DE/NX)	0.43	0.00	0.22
448	Zilean / Zoe	0.42	0.01	0.22
449	Nautilus / Thresh	0.43	0.00	0.22
450	Jarvan IV / Renekton / Sivir	0.43	0.00	0.22
451	Ezreal / Gangplank / Twisted Fate	0.43	0.00	0.22
452	Lulu / Zed (BW/IO)	0.43	0.00	0.21
453	Zoe (IO/MT)	0.43	0.00	0.21
454	Aurelion Sol / Jarvan IV / Zoe	0.42	0.00	0.21
455	Ezreal (PZ/SI)	0.43	0.00	0.21
456	LeBlanc / Riven / Sivir	0.43	0.00	0.21
457	Aurelion Sol / Trundle	0.43	0.00	0.21
458	Braum / Taric	0.43	0.00	0.21
459	Sejuani (BW/FR)	0.43	0.00	0.21
460	Darius / Riven / Sivir	0.43	0.00	0.21
461	Lux / Zilean	0.43	0.00	0.21
462	Fizz / Renekton	0.43	0.00	0.21
463	Kalista / Lux	0.43	0.00	0.21
464	Malphite / Renekton / Sivir	0.43	0.00	0.21
465	Lissandra / Swain	0.42	0.01	0.21
466	Aurelion Sol / Zoe (FR/MT)	0.42	0.00	0.21
467	Riven / Vi	0.43	0.00	0.21
468	Shyvana (DE/FR)	0.42	0.00	0.21
469	Draven / Riven (IO/NX)	0.41	0.01	0.21
470	Lee Sin / Riven	0.42	0.00	0.21
471	Renekton / Sivir (NX/SH)	0.42	0.00	0.21
472	Ezreal / Karma	0.42	0.00	0.21
473	Ezreal (PZ/SH)	0.42	0.00	0.21
474	Aphelios / Zoe (BW/MT)	0.42	0.00	0.21
475	Jinx (PZ/SH)	0.42	0.00	0.21
476	Aurelion Sol / Leona / Zoe	0.42	0.00	0.21
477	Miss Fortune / Sejuani	0.42	0.00	0.21
478	Sejuani (FR/SH)	0.42	0.00	0.21
479	Trundle (FR/PZ)	0.41	0.01	0.21
480	LeBlanc / Renekton	0.41	0.00	0.21
481	Elise / Nocturne (SI/SH)	0.41	0.00	0.21
482	Gangplank / Twisted Fate (BW/SI)	0.41	0.01	0.21
483	Jarvan IV / Shyvana (DE/SI)	0.41	0.00	0.21
484	Lissandra / Trundle (FR/IO)	0.41	0.00	0.21
485	Draven / Fizz	0.41	0.00	0.21
486	Elise / Kalista (PZ/SI)	0.41	0.00	0.21
487	Yasuo (IO/NX)	0.41	0.00	0.20
488	Teemo / Zoe	0.41	0.00	0.20
489	Zoe (MT/PZ)	0.41	0.00	0.20
490	Ezreal / Teemo (FR/PZ)	0.39	0.02	0.20
491	Teemo / Zed	0.41	0.00	0.20
492	Quinn / Riven	0.40	0.01	0.20
493	Karma / Lux	0.41	0.00	0.20
494	Karma / Zoe	0.40	0.00	0.20
495	Leona / Malphite / Yasuo	0.40	0.00	0.20
496	Elise / Shyvana	0.40	0.00	0.20
497	Anivia (FR/SI)	0.40	0.01	0.20
498	Elise / Gangplank / Twisted Fate	0.40	0.00	0.20
499	Gangplank / Twisted Fate (BW/PZ)	0.40	0.00	0.20
500	Gangplank / Miss Fortune (BW/PZ)	0.40	0.00	0.20
501	Lulu / Renekton	0.40	0.00	0.20
502	Heimerdinger / Lux	0.40	0.00	0.20
503	Katarina / Lee Sin / Riven	0.40	0.00	0.20
504	Ezreal / Teemo (PZ/SI)	0.40	0.00	0.20
505	Maokai / Nasus	0.40	0.00	0.20
506	Karma (FR/IO)	0.40	0.00	0.20
507	Trundle / Tryndamere (FR/MT)	0.40	0.00	0.20
508	Katarina / Zed	0.40	0.00	0.20
509	Gangplank / Miss Fortune (BW/FR)	0.40	0.00	0.20
510	Gangplank / LeBlanc	0.40	0.00	0.20
511	Ezreal / Zoe	0.40	0.00	0.20
512	Irelia / Zed (FR/IO)	0.40	0.00	0.20
513	Draven (IO/NX)	0.40	0.00	0.20
514	Garen / Lucian (BW/DE)	0.40	0.00	0.20
515	Kalista / Karma	0.40	0.00	0.20
516	Lux / Thresh	0.40	0.00	0.20
517	Draven / Ezreal / Riven / Swain / Vi / Viktor	0.40	0.00	0.20
518	Fiora / Sivir	0.40	0.00	0.20
519	Championless (IO/SH)	0.40	0.00	0.20
520	Jarvan IV (DE/FR)	0.40	0.00	0.20
521	Vi / Viktor (PZ/SH)	0.40	0.00	0.20
522	Hecarim / Renekton	0.40	0.00	0.20
523	Jarvan IV / LeBlanc	0.40	0.00	0.20
524	Trundle / Tryndamere (DE/FR)	0.40	0.00	0.20
525	Kalista (FR/SI)	0.40	0.00	0.20
526	Anivia / Sejuani / Tryndamere (FR/SI)	0.40	0.00	0.20
527	Sejuani / Swain / Trundle	0.40	0.00	0.20
528	Gangplank / Zed	0.40	0.00	0.20
529	Riven / Zed	0.40	0.00	0.20
530	Garen / Shyvana (DE/FR)	0.40	0.00	0.20
531	Ezreal / Vi (PZ/SH)	0.40	0.00	0.20
532	Championless (PZ/SI)	0.39	0.01	0.20
533	Kindred / Zilean	0.39	0.01	0.20
534	Malphite / Taliyah	0.39	0.01	0.20
535	Aurelion Sol / Tryndamere / Zoe	0.39	0.00	0.20
536	Karma / Yasuo (IO/NX)	0.39	0.00	0.20
537	Sivir / Zed	0.38	0.02	0.20
538	Jinx (NX/PZ)	0.39	0.00	0.20
539	Katarina / Swain / Yasuo	0.39	0.00	0.20
540	Irelia / Miss Fortune	0.38	0.01	0.19
541	Lucian / Miss Fortune	0.39	0.00	0.19
542	Lulu / Zed (DE/IO)	0.38	0.00	0.19
543	Sivir / Viktor	0.38	0.00	0.19
544	Swain / Yasuo	0.38	0.01	0.19
545	Gangplank / Teemo	0.38	0.00	0.19
546	LeBlanc / Leona	0.38	0.00	0.19
547	Hecarim / Lucian	0.38	0.00	0.19
548	Riven / Viktor	0.38	0.00	0.19
549	Aphelios / Zoe (MT/PZ)	0.38	0.00	0.19
550	Kalista / Lucian	0.37	0.00	0.19
551	Draven / Riven (BW/NX)	0.38	0.00	0.19
552	Garen / LeBlanc	0.38	0.00	0.19
553	Malphite / Taliyah / Zoe	0.38	0.00	0.19
554	Malphite / Taliyah / Zilean	0.38	0.00	0.19
555	Tahm Kench / Twisted Fate (BW/MT)	0.38	0.00	0.19
556	Lissandra (DE/FR)	0.38	0.00	0.19
557	Aurelion Sol / Sejuani / Tryndamere	0.38	0.00	0.19
558	Renekton / Swain / Zilean	0.38	0.00	0.19
559	Zed (DE/IO)	0.37	0.00	0.19
560	Lulu / Shen (DE/IO)	0.37	0.00	0.19
561	Sejuani / Tryndamere (FR/IO)	0.37	0.00	0.18
562	Aurelion Sol / Garen / Shyvana	0.36	0.00	0.18
563	Gangplank / Twisted Fate / Zilean	0.36	0.00	0.18
564	Jarvan IV / Taric	0.36	0.00	0.18
565	Ezreal / Riven	0.36	0.00	0.18
566	Azir / Nasus / Zilean (SI/SH)	0.36	0.00	0.18
567	Ashe / Riven	0.36	0.00	0.18
568	Draven / Zoe	0.36	0.00	0.18
569	Irelia / Teemo	0.36	0.00	0.18
570	Lissandra / Sejuani / Swain	0.36	0.00	0.18
571	Kalista / Shyvana	0.35	0.00	0.18
572	Riven / Sivir	0.35	0.00	0.18
573	Leona / Yasuo	0.35	0.00	0.18
574	Garen (DE/SI)	0.35	0.00	0.18
575	Twisted Fate / Zilean	0.34	0.01	0.18
576	Aurelion Sol / Vi / Zoe	0.35	0.00	0.17
577	Azir / Darius / Sivir	0.35	0.00	0.17
578	Zed / Zoe	0.35	0.00	0.17
579	Ashe / Kindred	0.35	0.00	0.17
580	Sejuani / Vladimir	0.35	0.00	0.17
581	Aurelion Sol / Tryndamere	0.34	0.00	0.17
582	Malphite / Renekton	0.33	0.00	0.17
583	Yasuo / Zoe	0.33	0.00	0.17
584	Garen / Jarvan IV	0.33	0.00	0.17
585	Fiora / Jarvan IV / Shen	0.33	0.00	0.17
586	Aurelion Sol / Diana / Zoe (MT/SI)	0.33	0.00	0.17
587	Yasuo / Zed (IO/NX)	0.33	0.00	0.17
588	Draven / Garen	0.33	0.00	0.17
589	Azir / Ezreal	0.33	0.00	0.17
590	Championless (FR/SI)	0.33	0.00	0.17
591	Heimerdinger (FR/PZ)	0.33	0.00	0.17
592	Darius / Draven / Renekton	0.33	0.00	0.17
593	Garen / Taric	0.33	0.00	0.17
594	Lucian / Riven	0.33	0.00	0.17
595	Kindred (DE/SI)	0.33	0.00	0.17
596	Ezreal / Twisted Fate	0.33	0.00	0.17
597	Sejuani / Trundle (BW/FR)	0.33	0.00	0.17
598	Zoe (MT/NX)	0.33	0.00	0.17
599	Garen / Jarvan IV / Shyvana (DE/SI)	0.33	0.00	0.17
600	Garen / Miss Fortune	0.33	0.00	0.17
601	Lucian / Maokai	0.33	0.00	0.17
602	Aurelion Sol / Garen / Zoe	0.33	0.00	0.17
603	Diana / Zed	0.33	0.00	0.17
604	Azir / Nasus / Zilean	0.33	0.00	0.17
605	Diana (MT/SI)	0.33	0.00	0.17
606	Taliyah (MT/SH)	0.33	0.00	0.17
607	Championless (MT/SI)	0.33	0.00	0.17
608	Yasuo / Zed (FR/IO)	0.33	0.00	0.17
609	Diana / Sivir	0.33	0.00	0.17
610	Lee Sin / Zed (IO/SI)	0.33	0.00	0.17
611	Jarvan IV / Lucian (DE/FR)	0.33	0.00	0.17
612	Ezreal (FR/PZ)	0.33	0.00	0.17
613	Aurelion Sol / Fiora / Shyvana	0.33	0.00	0.17
614	Ezreal / Vi (FR/PZ)	0.33	0.00	0.17
615	Garen / Sejuani	0.33	0.00	0.17
616	Diana / Zoe (DE/MT)	0.33	0.00	0.17
617	Irelia / Zed (IO/NX)	0.33	0.00	0.17
618	Teemo / Vi (PZ/SI)	0.33	0.00	0.17
619	Lee Sin / Zed (IO/SH)	0.33	0.00	0.17
620	Renekton / Sivir (BW/SH)	0.33	0.00	0.17
621	Championless (DE/PZ)	0.33	0.00	0.17
622	LeBlanc / Zoe	0.33	0.00	0.17
623	Aphelios / Vi	0.33	0.00	0.17
624	Draven / Renekton	0.33	0.00	0.17
625	Vi (PZ/SI)	0.33	0.00	0.17
626	Nasus / Renekton / Zilean (SI/SH)	0.33	0.00	0.17
627	Ashe / Shyvana	0.33	0.00	0.17
628	Malphite / Zoe (MT/NX)	0.33	0.00	0.17
629	Diana / Riven / Zoe	0.33	0.00	0.17
630	Maokai / Teemo	0.33	0.00	0.17
631	Diana / Kindred	0.33	0.00	0.17
632	Renekton / Zilean (DE/SH)	0.33	0.00	0.17
633	Darius / Draven / Katarina (NX/SI)	0.33	0.00	0.17
634	LeBlanc / Vi	0.33	0.00	0.17
635	Lux / Zoe	0.33	0.00	0.17
636	Sivir / Taliyah / Zoe	0.33	0.00	0.17
637	Elise / Gangplank	0.33	0.00	0.17
638	Aurelion Sol / Shyvana / Taric	0.33	0.00	0.17
639	Garen / Swain	0.33	0.00	0.17
640	Draven / Katarina (NX/PZ)	0.33	0.00	0.17
641	Nasus (NX/SH)	0.33	0.00	0.17
642	Lulu / Zoe	0.33	0.00	0.17
643	Elise / Kalista / Kindred / Lucian	0.33	0.00	0.17
644	Renekton (PZ/SH)	0.33	0.00	0.17
645	Azir / Sivir (NX/SH)	0.33	0.00	0.17
646	Lissandra / Tryndamere (FR/SI)	0.33	0.00	0.17
647	Aurelion Sol / Diana / Zoe (MT/NX)	0.33	0.00	0.17
648	Braum / Taric / Zoe	0.33	0.00	0.17
649	Malphite / Tryndamere	0.33	0.00	0.17
650	Renekton / Riven	0.33	0.00	0.17
651	Darius / Lulu / Shen	0.33	0.00	0.17
652	Aphelios / Diana (DE/MT)	0.33	0.00	0.17
653	Aurelion Sol / Garen / Malphite	0.33	0.00	0.17
654	Elise / LeBlanc	0.33	0.00	0.17
655	Jarvan IV / Kalista / Shyvana	0.33	0.00	0.17
656	Azir / Miss Fortune	0.33	0.00	0.17
657	Lissandra / Sivir / Taliyah	0.33	0.00	0.17
658	Darius / LeBlanc / Renekton	0.33	0.00	0.17
659	LeBlanc / Swain (NX/SI)	0.33	0.00	0.17
660	Azir / Irelia / Sivir / Yasuo / Zed	0.33	0.00	0.17
661	Lucian / Quinn (DE/SI)	0.33	0.00	0.17
662	Shyvana / Soraka	0.33	0.00	0.17
663	Lulu / Riven	0.33	0.00	0.17
664	Garen / Shyvana (DE/MT)	0.33	0.00	0.17
665	Braum / Kindred	0.33	0.00	0.16
666	Katarina / Yasuo	0.33	0.00	0.16
667	Fiora (DE/SH)	0.32	0.00	0.16
668	Darius / Elise	0.32	0.00	0.16
669	Elise / Twisted Fate	0.32	0.00	0.16
670	Zilean (PZ/SH)	0.32	0.00	0.16
671	Darius / Draven (NX/PZ)	0.32	0.00	0.16
672	Championless (IO/SI)	0.32	0.00	0.16
673	Sejuani / Trundle (FR/SI)	0.32	0.00	0.16
674	Garen / Riven	0.32	0.00	0.16
675	LeBlanc / Yasuo	0.32	0.00	0.16
676	Braum / Trundle (FR/SI)	0.32	0.00	0.16
677	Sejuani / Trundle (FR/SH)	0.32	0.00	0.16
678	Darius / Draven (MT/NX)	0.32	0.00	0.16
679	Garen / Renekton	0.31	0.00	0.16
680	Draven / Viktor	0.31	0.00	0.16
681	Aphelios / Viktor / Zoe	0.31	0.00	0.16
682	Ashe / Thresh	0.31	0.00	0.16
683	Braum / Garen	0.31	0.00	0.16
684	Malphite / Yasuo / Zoe	0.31	0.00	0.16
685	Fiora (DE/MT)	0.31	0.00	0.16
686	Azir / Nasus / Renekton	0.30	0.01	0.16
687	Braum / Tahm Kench	0.31	0.00	0.15
688	Ezreal / Gangplank	0.31	0.00	0.15
689	Azir / Nasus	0.30	0.00	0.15
690	Karma / Thresh	0.30	0.00	0.15
691	Darius / Draven / Sejuani	0.30	0.00	0.15
692	Leona / Lucian	0.30	0.00	0.15
693	Azir / Hecarim	0.30	0.00	0.15
694	Azir / Maokai	0.30	0.00	0.15
695	Championless (DE/MT)	0.30	0.00	0.15
696	Riven / Swain (NX/PZ)	0.30	0.00	0.15
697	Lucian / Sivir	0.30	0.00	0.15
698	Ashe / Shen	0.30	0.00	0.15
699	Braum / Sejuani (FR/PZ)	0.30	0.00	0.15
700	Jinx / Zilean	0.30	0.00	0.15
701	Azir / Renekton	0.29	0.01	0.15
702	Draven / Yasuo	0.29	0.00	0.14
703	Braum / Fiora / Shyvana	0.29	0.00	0.14
704	Aurelion Sol / Leona / Zoe (MT/NX)	0.29	0.00	0.14
705	Kindred / Lucian	0.29	0.00	0.14
706	Ashe / Elise	0.29	0.00	0.14
707	Vi (FR/PZ)	0.29	0.00	0.14
708	Ashe / Renekton	0.29	0.00	0.14
709	Elise / Irelia / Maokai	0.29	0.00	0.14
710	Jarvan IV / Kalista	0.29	0.00	0.14
711	Ashe (FR/NX)	0.29	0.00	0.14
712	Garen / Jarvan IV / Sivir	0.29	0.00	0.14
713	Gangplank / Twisted Fate (BW/SH)	0.29	0.00	0.14
714	Lee Sin / Taric	0.29	0.00	0.14
715	Championless (NX/PZ)	0.29	0.00	0.14
716	Malphite (FR/MT)	0.29	0.00	0.14
717	Draven / Fiora	0.29	0.00	0.14
718	Swain / Vladimir (DE/NX)	0.29	0.00	0.14
719	Zoe (FR/MT)	0.29	0.00	0.14
720	Aurelion Sol / Karma / Zoe	0.29	0.00	0.14
721	Sejuani / Sivir	0.28	0.00	0.14
722	Kindred / Swain	0.28	0.00	0.14
723	Taric / Zoe (FR/MT)	0.27	0.00	0.14
724	Sivir / Zilean (BW/SH)	0.27	0.00	0.14
725	Hecarim / Zed	0.27	0.00	0.14
726	Azir / Darius / Renekton	0.27	0.00	0.13
727	Lee Sin / Zed / Zoe	0.27	0.00	0.13
728	Fizz / Teemo	0.27	0.00	0.13
729	Jarvan IV / Sivir	0.27	0.00	0.13
730	Teemo (PZ/SI)	0.26	0.00	0.13
731	Malphite / Yasuo	0.26	0.00	0.13
732	Garen / Jarvan IV (DE/SI)	0.26	0.00	0.13
733	Lulu / Taric	0.26	0.00	0.13
734	Twisted Fate (BW/PZ)	0.26	0.00	0.13
735	Kalista / Kindred (DE/SI)	0.26	0.00	0.13
736	Elise (IO/SI)	0.25	0.00	0.13
737	Fizz (BW/FR)	0.25	0.00	0.13
738	Teemo (IO/PZ)	0.25	0.00	0.13
739	Garen / Jarvan IV (DE/NX)	0.25	0.00	0.13
740	Braum / Sejuani / Sivir / Tryndamere	0.25	0.00	0.13
741	Aurelion Sol / LeBlanc	0.25	0.00	0.13
742	Aphelios / Diana / Zoe (MT/SI)	0.25	0.00	0.13
743	Malphite / Renekton / Taliyah	0.25	0.00	0.13
744	Maokai / Nautilus / Twisted Fate	0.25	0.00	0.13
745	Kindred (FR/SI)	0.25	0.00	0.13
746	Maokai (BW/SI)	0.25	0.00	0.13
747	Elise / Kalista / Shyvana	0.25	0.00	0.13
748	Aphelios / Aurelion Sol / Shyvana / Zoe	0.25	0.00	0.13
749	Draven / Gangplank	0.25	0.00	0.13
750	Irelia / Lucian	0.25	0.00	0.13
751	Aurelion Sol / Zilean / Zoe	0.25	0.00	0.13
752	Sejuani / Twisted Fate	0.25	0.00	0.13
753	Aurelion Sol / Shyvana / Taric / Zoe	0.25	0.00	0.13
754	Renekton / Sivir (SI/SH)	0.25	0.00	0.13
755	Vladimir (FR/NX)	0.25	0.00	0.13
756	Fiora / Renekton	0.25	0.00	0.13
757	Azir / Gangplank	0.25	0.00	0.13
758	Elise / Karma	0.25	0.00	0.13
759	Sivir (NX/SH)	0.25	0.00	0.13
760	Garen (DE/SH)	0.25	0.00	0.13
761	LeBlanc (BW/NX)	0.25	0.00	0.13
762	Lux / Taric	0.25	0.00	0.13
763	Gangplank / Thresh	0.25	0.00	0.13
764	Gangplank / Miss Fortune	0.25	0.00	0.13
765	Aphelios / Diana (MT/PZ)	0.25	0.00	0.13
766	Heimerdinger / Vi (IO/PZ)	0.25	0.00	0.13
767	Ashe / Sivir	0.25	0.00	0.13
768	Ashe / Lissandra / Trundle (FR/IO)	0.25	0.00	0.13
769	Darius / Draven (FR/NX)	0.25	0.00	0.13
770	Ezreal / Trundle	0.25	0.00	0.12
771	Karma / LeBlanc	0.24	0.00	0.12
772	Gangplank / Zilean	0.24	0.00	0.12
773	Karma / Kindred	0.24	0.00	0.12
774	Ezreal / Zilean	0.24	0.00	0.12
775	Braum / Soraka	0.23	0.00	0.12
776	Vi / Zilean	0.23	0.00	0.11
777	Viktor / Zilean	0.22	0.00	0.11
778	Heimerdinger / Lee Sin / Vi / Viktor	0.22	0.00	0.11
779	Diana / Twisted Fate	0.22	0.00	0.11
780	Taric / Zed	0.22	0.00	0.11
781	Leona / Sejuani	0.22	0.00	0.11
782	Lissandra / Tryndamere (DE/FR)	0.22	0.00	0.11
783	LeBlanc / Taric	0.22	0.00	0.11
784	Fizz / Vi	0.22	0.00	0.11
785	Irelia / Lulu (IO/MT)	0.22	0.00	0.11
786	Aurelion Sol / Leona (MT/SI)	0.22	0.00	0.11
787	Fizz / Tahm Kench / Twisted Fate (BW/FR)	0.22	0.00	0.11
788	Azir / Zilean	0.22	0.00	0.11
789	Darius / Renekton / Sivir	0.21	0.00	0.11
790	Kalista / Nasus	0.21	0.00	0.11
791	Maokai / Zilean	0.20	0.00	0.10
792	Vi / Viktor (IO/PZ)	0.20	0.00	0.10
793	Kalista (PZ/SI)	0.20	0.00	0.10
794	Heimerdinger / Vi (FR/PZ)	0.20	0.00	0.10
795	Gangplank / Kalista	0.20	0.00	0.10
796	Hecarim / Lucian / Maokai	0.20	0.00	0.10
797	Twisted Fate / Vi	0.20	0.00	0.10
798	Leona / Malphite / Zoe (MT/SH)	0.20	0.00	0.10
799	Braum / Lux	0.20	0.00	0.10
800	Aurelion Sol (MT/NX)	0.20	0.00	0.10
801	Riven / Taric	0.20	0.00	0.10
802	Jarvan IV / Miss Fortune / Quinn	0.20	0.00	0.10
803	Leona / Zoe (IO/MT)	0.20	0.00	0.10
804	Maokai / Zoe	0.20	0.00	0.10
805	Ezreal / Vi (PZ/SI)	0.20	0.00	0.10
806	Gangplank / Twisted Fate (BW/IO)	0.20	0.00	0.10
807	Garen / Jarvan IV / Shen	0.20	0.00	0.10
808	Ezreal / Vi / Zoe	0.20	0.00	0.10
809	Lux / Shyvana (DE/MT)	0.20	0.00	0.10
810	Jinx / Kalista	0.20	0.00	0.10
811	Renekton / Trundle	0.20	0.00	0.10
812	Azir	0.19	0.00	0.10
813	Azir / Zed	0.18	0.00	0.09
814	Elise / Kindred (NX/SI)	0.18	0.00	0.09
815	Fizz / Zed	0.18	0.00	0.09
816	Garen / Jarvan IV (DE/FR)	0.18	0.00	0.09
817	Aphelios / Zoe	0.17	0.00	0.09
818	Elise / Kindred (DE/SI)	0.17	0.00	0.08
819	Elise / Kindred / Swain	0.17	0.00	0.08
820	Garen	0.17	0.00	0.08
821	Azir / Renekton / Zilean	0.17	0.00	0.08
822	Jinx (FR/PZ)	0.17	0.00	0.08
823	Zilean (SI/SH)	0.16	0.00	0.08
824	Zilean (IO/SH)	0.15	0.00	0.08
825	Anivia / Thresh	0.14	0.00	0.07
826	Hecarim / Kalista (IO/SI)	0.14	0.00	0.07
827	Aurelion Sol / Leona / Zoe (DE/MT)	0.14	0.00	0.07
828	Aurelion Sol / Viktor / Zoe	0.14	0.00	0.07
829	Taric (MT/SI)	0.14	0.00	0.07
830	Taric / Teemo	0.14	0.00	0.07
831	Draven / Riven (NX/PZ)	0.14	0.00	0.07
832	Azir / Jinx	0.14	0.00	0.07
833	Braum / Viktor	0.14	0.00	0.07
834	Garen / Lucian (DE/SH)	0.14	0.00	0.07
835	Draven / Ezreal / Teemo	0.13	0.00	0.07
836	Braum / Sivir	0.12	0.00	0.06
837	Azir / Renekton (NX/SH)	0.12	0.00	0.06
838	Ashe / Draven / Sejuani	0.12	0.00	0.06
839	Aurelion Sol / Vi	0.12	0.00	0.06
840	Viktor (PZ/SI)	0.12	0.00	0.06
841	Twisted Fate / Zoe	0.12	0.00	0.06
842	Jarvan IV / Kindred	0.12	0.00	0.06
843	Ashe / Tahm Kench	0.11	0.00	0.06
844	Fizz / Twisted Fate (BW/FR)	0.11	0.00	0.06
845	Garen / Trundle	0.11	0.00	0.06
846	Zed / Zilean	0.11	0.00	0.06
847	Yasuo (FR/IO)	0.11	0.00	0.06
848	Viktor (IO/PZ)	0.11	0.00	0.06
849	Teemo / Zilean	0.11	0.00	0.05
850	Championless (FR/PZ)	0.10	0.00	0.05
851	Karma / Taliyah	0.10	0.00	0.05
852	Elise / Kalista (NX/SI)	0.09	0.00	0.05
853	Aurelion Sol / Lissandra / Trundle	0.09	0.00	0.05
854	Elise (SI/SH)	0.00	0.00	0.00
855	Azir (IO/SH)	0.00	0.00	0.00
856	Sivir / Viktor / Zilean	0.00	0.00	0.00
857	Yasuo / Zed (IO/MT)	0.00	0.00	0.00
858	Leona (IO/MT)	0.00	0.00	0.00
859	Yasuo (IO/MT)	0.00	0.00	0.00
860	Karma / Nautilus	0.00	0.00	0.00
861	Darius / LeBlanc (FR/NX)	0.00	0.00	0.00
862	Championless (IO/NX)	0.00	0.00	0.00
863	Zilean (FR/SH)	0.00	0.00	0.00
864	Darius / Shen	0.00	0.00	0.00
865	Fiora / Lulu	0.00	0.00	0.00
866	Nautilus / Zilean	0.00	0.00	0.00
867	Maokai (DE/SI)	0.00	0.00	0.00
868	Zilean (NX/SH)	0.00	0.00	0.00
869	Teemo / Viktor (FR/PZ)	0.00	0.00	0.00
870	Draven / Zilean	0.00	0.00	0.00
871	Heimerdinger / Viktor (MT/PZ)	0.00	0.00	0.00
872	Lee Sin / Renekton	0.00	0.00	0.00
873	Heimerdinger / Vi / Viktor (MT/PZ)	0.00	0.00	0.00
874	Kalista / Kindred (FR/SI)	0.00	0.00	0.00
875	Irelia / Sejuani	0.00	0.00	0.00
876	Leona / Lulu	0.00	0.00	0.00
877	Ezreal / Kindred	0.00	0.00	0.00
878	Aphelios / Vi / Zoe	0.00	0.00	0.00
879	Garen (DE/FR)	0.00	0.00	0.00
880	Azir / Braum	0.00	0.00	0.00
881	Sejuani / Trundle (FR/PZ)	0.00	0.00	0.00
882	Elise / Nocturne (DE/SI)	0.00	0.00	0.00
883	Malphite / Zoe (MT/SH)	0.00	0.00	0.00
884	Jarvan IV / Trundle	0.00	0.00	0.00
885	Vi / Viktor (FR/PZ)	0.00	0.00	0.00
886	Karma / Viktor	0.00	0.00	0.00
887	Malphite / Zoe (FR/MT)	0.00	0.00	0.00
888	LeBlanc / Shyvana	0.00	0.00	0.00
889	Azir / Taliyah / Zilean	0.00	0.00	0.00
890	Lee Sin (IO/MT)	0.00	0.00	0.00
891	Aurelion Sol / Malphite (FR/MT)	0.00	0.00	0.00
892	Elise / Jarvan IV	0.00	0.00	0.00
893	Lee Sin / Riven / Zed	0.00	0.00	0.00
894	Fizz / Tahm Kench (BW/FR)	0.00	0.00	0.00
895	Kindred / Taric	0.00	0.00	0.00
896	Gangplank / Miss Fortune / Sejuani	0.00	0.00	0.00
897	Sivir / Zoe	0.00	0.00	0.00
898	Diana / Leona (IO/MT)	0.00	0.00	0.00
899	LeBlanc / Zilean	0.00	0.00	0.00
900	Zoe (MT/SH)	0.00	0.00	0.00
901	Nasus / Renekton (FR/SH)	0.00	0.00	0.00
902	Darius / Sejuani / Swain	0.00	0.00	0.00
903	Taliyah / Zilean (FR/SH)	0.00	0.00	0.00
904	Lucian / Renekton / Sivir	0.00	0.00	0.00
905	Sivir / Swain	0.00	0.00	0.00
906	Yasuo / Zilean	0.00	0.00	0.00
907	Darius (NX/SI)	0.00	0.00	0.00
908	Trundle / Zilean	0.00	0.00	0.00
909	Vi / Viktor (MT/PZ)	0.00	0.00	0.00
910	Championless (FR/SH)	0.00	0.00	0.00
911	Tahm Kench / Twisted Fate (BW/FR)	0.00	0.00	0.00
912	Lulu / Zed (IO/SI)	0.00	0.00	0.00
913	Anivia / Sejuani / Trundle	0.00	0.00	0.00
914	Darius / Thresh	0.00	0.00	0.00
915	Teemo (FR/PZ)	0.00	0.00	0.00
916	Lissandra / Malphite	0.00	0.00	0.00
917	Lee Sin / Yasuo (IO/NX)	0.00	0.00	0.00
918	Lulu (FR/IO)	0.00	0.00	0.00
919	Draven / Riven / Viktor	0.00	0.00	0.00
920	Fizz / Twisted Fate (BW/IO)	0.00	0.00	0.00
921	Jarvan IV / Shyvana (DE/NX)	0.00	0.00	0.00
922	Kindred / Nocturne (MT/SI)	0.00	0.00	0.00
923	Riven / Sejuani	0.00	0.00	0.00
924	Lucian / Vi	0.00	0.00	0.00
925	Fizz / Zoe	0.00	0.00	0.00
926	Katarina (NX/SH)	0.00	0.00	0.00
927	Aurelion Sol / Zoe (MT/PZ)	0.00	0.00	0.00
928	Fiora / Zilean	0.00	0.00	0.00
929	Irelia (IO/SI)	0.00	0.00	0.00
930	Renekton / Zilean (MT/SH)	0.00	0.00	0.00
931	Lissandra / Trundle (FR/MT)	0.00	0.00	0.00
932	Gangplank (BW/PZ)	0.00	0.00	0.00
933	Irelia / Zed (IO/SI)	0.00	0.00	0.00
934	Zed (IO/SH)	0.00	0.00	0.00
935	Leona / Malphite (MT/SH)	0.00	0.00	0.00
936	Renekton / Twisted Fate	0.00	0.00	0.00
937	Aphelios / Twisted Fate	0.00	0.00	0.00
938	Ezreal / Fizz / Twisted Fate	0.00	0.00	0.00
939	LeBlanc / Riven (IO/NX)	0.00	0.00	0.00
940	Nocturne / Viktor	0.00	0.00	0.00
941	Darius / Zilean	0.00	0.00	0.00
942	Irelia / Zed (IO/MT)	0.00	0.00	0.00
943	Lee Sin (IO/PZ)	0.00	0.00	0.00
944	Lee Sin / Zilean	0.00	0.00	0.00
945	Ashe / Katarina	0.00	0.00	0.00
946	Garen / Lissandra / Trundle	0.00	0.00	0.00
947	Zilean (DE/SH)	0.00	0.00	0.00
948	Lissandra / Sejuani (BW/FR)	0.00	0.00	0.00
949	LeBlanc / Swain (IO/NX)	0.00	0.00	0.00
950	Lux / Shyvana (DE/PZ)	0.00	0.00	0.00
951	Malphite / Soraka / Taliyah	0.00	0.00	0.00
952	Elise / Ezreal	0.00	0.00	0.00
953	Garen / Nasus	0.00	0.00	0.00
954	Draven / Riven / Twisted Fate	0.00	0.00	0.00
955	Fiora / Jarvan IV (DE/FR)	0.00	0.00	0.00
956	Sivir / Tahm Kench / Zilean	0.00	0.00	0.00
957	Renekton / Zed	0.00	0.00	0.00
958	Taliyah / Zoe	0.00	0.00	0.00
959	Jarvan IV / Miss Fortune	0.00	0.00	0.00
960	Heimerdinger (IO/PZ)	0.00	0.00	0.00
961	Lux / Swain	0.00	0.00	0.00
962	Renekton (MT/SH)	0.00	0.00	0.00
963	Swain / Zoe	0.00	0.00	0.00
964	Elise / Zoe	0.00	0.00	0.00
965	Twisted Fate / Viktor	0.00	0.00	0.00
966	Teemo (PZ/SH)	0.00	0.00	0.00
967	Nasus / Renekton	0.00	0.00	0.00
968	Anivia / Zed	0.00	0.00	0.00
969	Karma / Lee Sin (FR/IO)	0.00	0.00	0.00
970	Katarina / Swain (FR/NX)	0.00	0.00	0.00
971	Karma / Yasuo / Zoe	0.00	0.00	0.00
972	Braum / Twisted Fate	0.00	0.00	0.00
973	Taliyah / Teemo / Zilean	0.00	0.00	0.00
974	Kindred (MT/SI)	0.00	0.00	0.00
975	Heimerdinger (PZ/SH)	0.00	0.00	0.00
976	Lissandra / Swain / Trundle	0.00	0.00	0.00
977	Jarvan IV / Lulu / Shen	0.00	0.00	0.00
978	Championless (BW/PZ)	0.00	0.00	0.00
979	Aurelion Sol / Sivir / Zoe	0.00	0.00	0.00
980	Braum / Lissandra / Trundle (FR/SI)	0.00	0.00	0.00
981	Garen / Jarvan IV / Renekton	0.00	0.00	0.00
982	Darius / Kalista	0.00	0.00	0.00
983	Darius / Gangplank	0.00	0.00	0.00
984	Championless (IO/PZ)	0.00	0.00	0.00
985	Ezreal / Viktor / Zilean	0.00	0.00	0.00
986	Aurelion Sol / Zoe (MT/SH)	0.00	0.00	0.00
987	Garen / Malphite	0.00	0.00	0.00
988	Hecarim / Kalista / Zed	0.00	0.00	0.00
989	Ashe / Fiora	0.00	0.00	0.00
990	Irelia (IO/MT)	0.00	0.00	0.00
991	Elise / Ezreal / Kindred	0.00	0.00	0.00
992	Azir / Swain	0.00	0.00	0.00
993	Anivia / Ashe / Braum / Lissandra / Tryndamere (FR/SI)	0.00	0.00	0.00
994	Hecarim / Shyvana	0.00	0.00	0.00
995	Braum / Jinx	0.00	0.00	0.00
996	LeBlanc (NX/SI)	0.00	0.00	0.00
997	Renekton / Zilean (SI/SH)	0.00	0.00	0.00
998	Kindred	0.00	0.00	0.00
999	Fizz / Miss Fortune / Twisted Fate (BW/FR)	0.00	0.00	0.00
1000	Gangplank / Jinx / Twisted Fate	0.00	0.00	0.00
1001	Shyvana / Zed	0.00	0.00	0.00
1002	Garen / Katarina	0.00	0.00	0.00
1003	Anivia / Tryndamere (FR/SI)	0.00	0.00	0.00
1004	Anivia / Elise	0.00	0.00	0.00
1005	Leona / Zoe (FR/MT)	0.00	0.00	0.00
1006	Renekton / Zilean (NX/SH)	0.00	0.00	0.00
1007	Braum / Fizz	0.00	0.00	0.00
1008	Kalista / Tryndamere	0.00	0.00	0.00
1009	Fiora / Zed	0.00	0.00	0.00
1010	Leona (FR/MT)	0.00	0.00	0.00
1011	Lissandra / Trundle / Tryndamere (DE/FR)	0.00	0.00	0.00
1012	Jinx / Nautilus / Twisted Fate	0.00	0.00	0.00
1013	Aphelios / Aurelion Sol / Diana (MT/SI)	0.00	0.00	0.00
1014	Riven / Yasuo	0.00	0.00	0.00
1015	Gangplank (BW/FR)	0.00	0.00	0.00
1016	Nasus / Viktor / Zilean	0.00	0.00	0.00
1017	Jarvan IV (DE/SI)	0.00	0.00	0.00
1018	Lissandra / Tryndamere (FR/SH)	0.00	0.00	0.00
1019	Ashe / Braum / Tryndamere (FR/SI)	0.00	0.00	0.00
1020	Elise / Kalista / Zed	0.00	0.00	0.00
1021	Trundle / Zoe	0.00	0.00	0.00
1022	Azir / Irelia / Nasus / Zed	0.00	0.00	0.00
1023	Lulu / Shen	0.00	0.00	0.00
1024	Draven (FR/NX)	0.00	0.00	0.00
1025	Aphelios / Zoe (MT/NX)	0.00	0.00	0.00
1026	Renekton / Vladimir	0.00	0.00	0.00
1027	Azir / Elise / Maokai	0.00	0.00	0.00
1028	Garen / Lux (DE/FR)	0.00	0.00	0.00
1029	Fizz / Miss Fortune (BW/IO)	0.00	0.00	0.00
1030	Kindred (SI/SH)	0.00	0.00	0.00
1031	Nasus / Zilean (PZ/SH)	0.00	0.00	0.00
1032	Ashe / Garen	0.00	0.00	0.00
1033	Kindred / Zoe	0.00	0.00	0.00
1034	Quinn / Renekton	0.00	0.00	0.00
1035	Irelia (IO/NX)	0.00	0.00	0.00
1036	Renekton / Zilean (FR/SH)	0.00	0.00	0.00
1037	Renekton / Sejuani / Trundle	0.00	0.00	0.00
1038	Trundle / Tryndamere (FR/NX)	0.00	0.00	0.00
1039	Irelia / Twisted Fate	0.00	0.00	0.00
1040	Diana / Riven	0.00	0.00	0.00
1041	Renekton / Swain	0.00	0.00	0.00
1042	Aurelion Sol / Lissandra / Zoe	0.00	0.00	0.00
1043	Leona / Taric (DE/MT)	0.00	0.00	0.00
1044	Ezreal / Sejuani / Teemo / Trundle / Tryndamere / Vi	0.00	0.00	0.00
1045	Karma / Yasuo (IO/SI)	0.00	0.00	0.00
1046	Ezreal / Kindred / Vi	0.00	0.00	0.00
1047	Aphelios / Zilean / Zoe	0.00	0.00	0.00
1048	Fiora / LeBlanc	0.00	0.00	0.00
1049	Kindred / Nasus / Thresh	0.00	0.00	0.00
1050	Soraka / Twisted Fate	0.00	0.00	0.00
1051	Tahm Kench / Zoe	0.00	0.00	0.00
1052	Aphelios / Aurelion Sol / Viktor / Zoe	0.00	0.00	0.00
1053	Lee Sin / Sivir	0.00	0.00	0.00
1054	Elise / Kalista (IO/SI)	0.00	0.00	0.00
1055	Garen (DE/PZ)	0.00	0.00	0.00
1056	Malphite / Teemo	0.00	0.00	0.00
1057	Braum / Trundle (FR/PZ)	0.00	0.00	0.00
1058	Teemo / Viktor (PZ/SI)	0.00	0.00	0.00
1059	Irelia / Kalista / Maokai	0.00	0.00	0.00
1060	Gangplank / Irelia / Miss Fortune	0.00	0.00	0.00
1061	Lux / Nasus / Zilean	0.00	0.00	0.00
1062	Jinx / Twisted Fate	0.00	0.00	0.00
1063	Darius / Draven	0.00	0.00	0.00
1064	Sivir / Teemo / Vi	0.00	0.00	0.00
1065	Taliyah / Zilean / Zoe	0.00	0.00	0.00
1066	Hecarim / Thresh / Trundle	0.00	0.00	0.00
1067	Shen (DE/IO)	0.00	0.00	0.00
1068	Garen / Jarvan IV / LeBlanc	0.00	0.00	0.00
1069	Renekton / Taliyah (MT/SH)	0.00	0.00	0.00
1070	Braum / Zilean	0.00	0.00	0.00
1071	Viktor (FR/PZ)	0.00	0.00	0.00
1072	Aurelion Sol / Kindred	0.00	0.00	0.00
1073	Jarvan IV / Shen / Shyvana	0.00	0.00	0.00
1074	Lucian (DE/MT)	0.00	0.00	0.00
1075	Gangplank / Teemo / Twisted Fate	0.00	0.00	0.00
1076	Lulu / Shyvana	0.00	0.00	0.00
1077	Heimerdinger / Vi / Viktor (IO/PZ)	0.00	0.00	0.00
1078	Diana / Vi / Viktor / Zoe	0.00	0.00	0.00
1079	Braum / Lissandra (DE/FR)	0.00	0.00	0.00
1080	Draven / Katarina (NX/SH)	0.00	0.00	0.00
1081	Malphite / Riven	0.00	0.00	0.00
1082	Renekton / Shen	0.00	0.00	0.00
1083	Gangplank / Lux	0.00	0.00	0.00
1084	Hecarim (DE/SI)	0.00	0.00	0.00
1085	LeBlanc (MT/NX)	0.00	0.00	0.00
1086	Diana / Zoe (IO/MT)	0.00	0.00	0.00
1087	Hecarim / Kalista (DE/SI)	0.00	0.00	0.00
1088	Elise / Lucian	0.00	0.00	0.00
1089	Ezreal / Heimerdinger / Karma	0.00	0.00	0.00
1090	Kalista / Nocturne (PZ/SI)	0.00	0.00	0.00
1091	Teemo (BW/PZ)	0.00	0.00	0.00
1092	Aurelion Sol / Soraka (FR/MT)	0.00	0.00	0.00
1093	Tryndamere (FR/PZ)	0.00	0.00	0.00
1094	Nautilus / Twisted Fate (BW/MT)	0.00	0.00	0.00
1095	Ezreal (MT/PZ)	0.00	0.00	0.00
1096	Teemo / Twisted Fate	0.00	0.00	0.00
1097	Nocturne (PZ/SI)	0.00	0.00	0.00
1098	Hecarim / Thresh / Zed	0.00	0.00	0.00
1099	Sivir / Zilean (FR/SH)	0.00	0.00	0.00
1100	Ashe / Sejuani (DE/FR)	0.00	0.00	0.00
1101	Swain / Thresh	0.00	0.00	0.00
1102	Elise / Kindred (BW/SI)	0.00	0.00	0.00
1103	Karma (IO/NX)	0.00	0.00	0.00
1104	Darius / LeBlanc	0.00	0.00	0.00
1105	LeBlanc / Malphite	0.00	0.00	0.00
1106	Braum / Katarina	0.00	0.00	0.00
1107	Elise (BW/SI)	0.00	0.00	0.00
1108	Sejuani / Trundle (DE/FR)	0.00	0.00	0.00
1109	LeBlanc / Zed	0.00	0.00	0.00
1110	Lux / Shyvana / Zoe	0.00	0.00	0.00
1111	Thresh / Tryndamere	0.00	0.00	0.00
1112	Riven / Shyvana	0.00	0.00	0.00
1113	Karma / Lee Sin (IO/MT)	0.00	0.00	0.00
1114	Vi / Zed	0.00	0.00	0.00
1115	Fizz (BW/SI)	0.00	0.00	0.00
1116	Karma / Maokai	0.00	0.00	0.00
1117	Lissandra / Sejuani / Zoe	0.00	0.00	0.00
1118	Diana / Leona / Yasuo	0.00	0.00	0.00
1119	Aphelios / Aurelion Sol / Ezreal / Zoe	0.00	0.00	0.00
1120	Trundle / Tryndamere	0.00	0.00	0.00
1121	Lux (DE/IO)	0.00	0.00	0.00
1122	Maokai (PZ/SI)	0.00	0.00	0.00
1123	Renekton / Sejuani / Sivir / Trundle	0.00	0.00	0.00
1124	Darius / Katarina / Thresh	0.00	0.00	0.00
1125	Elise / Kalista / Kindred (FR/SI)	0.00	0.00	0.00
1126	Darius / Draven / Trundle	0.00	0.00	0.00
1127	Braum / Lulu	0.00	0.00	0.00
1128	Championless (MT/SH)	0.00	0.00	0.00
1129	Renekton / Taric	0.00	0.00	0.00
1130	Renekton / Vi	0.00	0.00	0.00
1131	Renekton / Zilean	0.00	0.00	0.00
1132	Swain (NX/PZ)	0.00	0.00	0.00
1133	Aurelion Sol / Kindred / Zoe	0.00	0.00	0.00
1134	Gangplank / Nasus	0.00	0.00	0.00
1135	Draven / Shyvana	0.00	0.00	0.00
1136	Azir / Hecarim / Sivir	0.00	0.00	0.00
1137	Jarvan IV / Leona	0.00	0.00	0.00
1138	Tryndamere / Vi	0.00	0.00	0.00
1139	Gangplank / Miss Fortune / Twisted Fate	0.00	0.00	0.00
1140	Lee Sin / Swain	0.00	0.00	0.00
1141	Vi / Viktor / Zilean	0.00	0.00	0.00
1142	Aphelios / Diana / Nocturne	0.00	0.00	0.00
1143	Azir / Renekton / Sivir (NX/SH)	0.00	0.00	0.00
1144	Lucian	0.00	0.00	0.00
1145	Aurelion Sol / Braum / Soraka	0.00	0.00	0.00
1146	Aurelion Sol / Garen / Jarvan IV	0.00	0.00	0.00
1147	Braum / Zed	0.00	0.00	0.00
1148	Fizz / Miss Fortune / Twisted Fate (BW/PZ)	0.00	0.00	0.00
1149	LeBlanc / Trundle	0.00	0.00	0.00
1150	Fizz / Taric	0.00	0.00	0.00
1151	Elise / Zed	0.00	0.00	0.00
1152	Malphite / Renekton / Zoe	0.00	0.00	0.00
1153	Draven / Ezreal / Riven / Vi / Viktor	0.00	0.00	0.00
1154	Garen / Sejuani / Trundle / Tryndamere	0.00	0.00	0.00
1155	Lux (DE/NX)	0.00	0.00	0.00
1156	Ezreal / Viktor (PZ/SI)	0.00	0.00	0.00
1157	Aurelion Sol / Leona / Thresh	0.00	0.00	0.00
1158	Draven / Nasus	0.00	0.00	0.00
1159	Heimerdinger / Zilean	0.00	0.00	0.00
1160	Ashe / Lissandra / Sejuani / Trundle (FR/IO)	0.00	0.00	0.00
1161	Lulu / Renekton / Sivir	0.00	0.00	0.00
1162	Aphelios / Zoe (MT/SH)	0.00	0.00	0.00
1163	Aphelios / Diana (FR/MT)	0.00	0.00	0.00
1164	Sejuani / Shyvana / Tryndamere	0.00	0.00	0.00
1165	Shen / Zed (DE/IO)	0.00	0.00	0.00
1166	Fizz / Lucian	0.00	0.00	0.00
1167	Elise / Hecarim (IO/SI)	0.00	0.00	0.00
1168	Miss Fortune / Twisted Fate (BW/SI)	0.00	0.00	0.00
1169	Anivia / Swain	0.00	0.00	0.00
1170	LeBlanc / Swain	0.00	0.00	0.00
1171	Darius / Draven / LeBlanc / Teemo	0.00	0.00	0.00
1172	Fiora / Nasus / Shyvana	0.00	0.00	0.00
1173	Lulu / Zed (FR/IO)	0.00	0.00	0.00
1174	LeBlanc / Sejuani / Vladimir	0.00	0.00	0.00
1175	Karma / Maokai / Thresh	0.00	0.00	0.00
1176	Darius / Draven / Elise	0.00	0.00	0.00
1177	LeBlanc / Vladimir (FR/NX)	0.00	0.00	0.00
1178	Draven / Renekton / Zilean	0.00	0.00	0.00
1179	Fiora / Garen / Jarvan IV (DE/FR)	0.00	0.00	0.00
1180	Malphite / Nasus	0.00	0.00	0.00
1181	Anivia / Aphelios / Ashe	0.00	0.00	0.00
1182	Trundle (FR/SH)	0.00	0.00	0.00
1183	Karma / Trundle	0.00	0.00	0.00
1184	Teemo / Twisted Fate / Vi	0.00	0.00	0.00
1185	Braum / Lissandra / Taliyah	0.00	0.00	0.00
1186	Viktor (MT/PZ)	0.00	0.00	0.00
1187	Aphelios / Soraka / Zoe (FR/MT)	0.00	0.00	0.00
1188	Garen / Lucian (DE/NX)	0.00	0.00	0.00
1189	Ezreal / Jinx (NX/PZ)	0.00	0.00	0.00
1190	Jarvan IV / Lee Sin	0.00	0.00	0.00
1191	Azir / Darius / Zilean	0.00	0.00	0.00
1192	Tahm Kench / Zilean	0.00	0.00	0.00
1193	Gangplank	0.00	0.00	0.00
1194	Braum / Soraka / Trundle	0.00	0.00	0.00
1195	Draven / Lucian / Riven	0.00	0.00	0.00
1196	Jarvan IV / LeBlanc / Shyvana	0.00	0.00	0.00
1197	Jarvan IV / Shyvana / Zoe	0.00	0.00	0.00
1198	Aphelios / Soraka (MT/PZ)	0.00	0.00	0.00
1199	Darius (NX/PZ)	0.00	0.00	0.00
1200	Karma (IO/MT)	0.00	0.00	0.00
1201	Kindred / Sivir	0.00	0.00	0.00
1202	Leona / Lux	0.00	0.00	0.00
1203	Darius / Fizz / Gangplank	0.00	0.00	0.00
1204	Hecarim / Thresh (FR/SI)	0.00	0.00	0.00
1205	Riven (IO/NX)	0.00	0.00	0.00
1206	Elise / Sejuani	0.00	0.00	0.00
1207	Aphelios / Lux	0.00	0.00	0.00
1208	Championless (FR/NX)	0.00	0.00	0.00
1209	Taric (FR/MT)	0.00	0.00	0.00
1210	Twisted Fate (BW/FR)	0.00	0.00	0.00
1211	Anivia / Irelia / Sejuani	0.00	0.00	0.00

---

Table A.2: Data filtered of decks without at least 200 games

n	Deck	WR index	Freq ind	LMI
1	Azir / Irelia	0.77	1.00	0.89
2	Nasus / Thresh	0.69	0.81	0.75
3	Draven / Ezreal / Vi	1.00	0.01	0.51
4	Draven / Ezreal	0.62	0.37	0.49
5	Draven / Jinx	0.66	0.24	0.45
6	Lissandra / Trundle (FR/SI)	0.54	0.29	0.41
7	Renekton / Sejuani / Sivir	0.61	0.11	0.36
8	Aurelion Sol / Shyvana / Zoe	0.45	0.25	0.35
9	Vi / Zoe	0.54	0.11	0.32
10	Gangplank / Miss Fortune (BW/NX)	0.60	0.03	0.32
11	Azir / Darius	0.51	0.07	0.29
12	Aurelion Sol / Jarvan IV / Shyvana	0.55	0.01	0.28
13	Lissandra / Taliyah / Zilean	0.53	0.02	0.28
14	Lissandra / Taliyah	0.40	0.13	0.27
15	Aurelion Sol / Zoe (DE/MT)	0.49	0.04	0.26
16	Vi / Viktor / Zoe	0.50	0.01	0.26
17	Diana / Nocturne	0.46	0.04	0.25
18	Fiora / Shyvana (DE/FR)	0.48	0.02	0.25
19	Jarvan IV / Shen	0.44	0.05	0.24
20	Ashe / LeBlanc	0.38	0.11	0.24
21	Aurelion Sol / Shyvana	0.39	0.08	0.24
22	Swain (NX/SH)	0.45	0.01	0.23
23	Maokai / Nautilus	0.39	0.06	0.23
24	Fizz / Twisted Fate (BW/PZ)	0.42	0.03	0.22
25	Fiora / Shen	0.43	0.01	0.22
26	Darius / Zed	0.42	0.01	0.22
27	Lissandra / Zilean	0.39	0.01	0.20
28	Renekton / Sejuani	0.36	0.03	0.20
29	Elise (NX/SI)	0.33	0.07	0.20
30	Elise / Kalista (DE/SI)	0.37	0.01	0.19
31	Sejuani / Swain	0.37	0.01	0.19
32	Aurelion Sol / Thresh	0.37	0.01	0.19
33	Gangplank / Sejuani	0.35	0.02	0.18
34	Ezreal / Sejuani / Teemo	0.35	0.01	0.18
35	LeBlanc / Sivir	0.34	0.02	0.18
36	Renekton / Sivir (DE/SH)	0.33	0.02	0.17
37	Fiora / Zoe	0.30	0.02	0.16
38	Lee Sin / Zoe	0.27	0.02	0.14
39	Kalista (DE/SI)	0.24	0.04	0.14
40	Championless (DE/SI)	0.25	0.03	0.14
41	Azir (NX/SH)	0.27	0.01	0.14
42	Nautilus (BW/SI)	0.25	0.01	0.13
43	Nasus / Zilean (SI/SH)	0.22	0.02	0.12
44	Soraka / Tahm Kench	0.22	0.02	0.12
45	Viktor / Zoe	0.23	0.01	0.12
46	Lissandra (FR/SH)	0.19	0.02	0.10
47	Braum / Vladimir	0.18	0.02	0.10
48	Zed (FR/IO)	0.15	0.03	0.09
49	Swain / Zilean	0.16	0.01	0.09
50	Fiora (DE/FR)	0.11	0.05	0.08
51	Zed (IO/NX)	0.15	0.01	0.08
52	Shyvana (DE/SI)	0.12	0.03	0.07
53	Zilean / Zoe	0.08	0.01	0.05
54	Lissandra / Swain	0.07	0.01	0.04
55	Draven / Riven (IO/NX)	0.04	0.01	0.02
56	Trundle (FR/PZ)	-0.01	0.01	0.00
57	Ezreal / Teemo (FR/PZ)	-0.10	0.02	-0.04
58	Championless (PZ/SI)	-0.10	0.01	-0.05
59	Sivir / Zed	-0.17	0.02	-0.07
60	Twisted Fate / Zilean	-0.36	0.01	-0.18

---

Table A.3: No filter data

n	Deck	WR index	Freq ind	LMI
1	Azir / Irelia	0.55	1.00	0.37
2	Nasus / Thresh	0.54	0.81	0.35
3	Draven / Ezreal	0.52	0.37	0.30
4	Lissandra / Trundle (FR/SI)	0.51	0.29	0.28
5	Draven / Jinx	0.53	0.24	0.29
6	Aurelion Sol / Shyvana / Zoe	0.49	0.25	0.27
7	Renekton / Sejuani / Sivir	0.52	0.11	0.27
8	Vi / Zoe	0.51	0.11	0.26
9	Lissandra / Taliyah	0.48	0.13	0.25
10	Draven / Ezreal / Vi	0.59	0.01	0.30
11	Ashe / LeBlanc	0.48	0.11	0.25
12	Azir / Darius	0.50	0.07	0.26
13	Aurelion Sol / Shyvana	0.48	0.08	0.25
14	Gangplank / Miss Fortune (BW/NX)	0.52	0.03	0.26
15	Maokai / Nautilus	0.48	0.06	0.25
16	Aurelion Sol / Zoe (DE/MT)	0.50	0.04	0.25
17	Diana / Nocturne	0.49	0.04	0.25
18	Jarvan IV / Shen	0.49	0.05	0.25
19	Elise (NX/SI)	0.47	0.07	0.24
20	Lissandra / Taliyah / Zilean	0.51	0.02	0.26
21	Aurelion Sol / Jarvan IV / Shyvana	0.51	0.01	0.26
22	Fizz / Twisted Fate (BW/PZ)	0.49	0.03	0.25
23	Fiora / Shyvana (DE/FR)	0.50	0.02	0.25
24	Vi / Viktor / Zoe	0.50	0.01	0.25
25	Renekton / Sejuani	0.47	0.03	0.24
26	Swain (NX/SH)	0.49	0.01	0.25
27	Darius / Zed	0.49	0.01	0.24
28	Fiora / Shen	0.49	0.01	0.24
29	Kalista (DE/SI)	0.45	0.04	0.23
30	Lissandra / Zilean	0.48	0.01	0.24
31	LeBlanc / Sivir	0.47	0.02	0.24
32	Aurelion Sol / Thresh	0.48	0.01	0.24
33	Gangplank / Sejuani	0.47	0.02	0.24
34	Renekton / Sivir (DE/SH)	0.47	0.02	0.24
35	Elise / Kalista (DE/SI)	0.48	0.01	0.24
36	Sejuani / Swain	0.48	0.01	0.24
37	Ezreal / Sejuani / Teemo	0.47	0.01	0.24
38	Championless (DE/SI)	0.45	0.03	0.23
39	Fiora / Zoe	0.46	0.02	0.23
40	Fiora (DE/FR)	0.43	0.05	0.22
41	Lee Sin / Zoe	0.46	0.02	0.23
42	Nasus / Zilean (SI/SH)	0.45	0.02	0.23
43	Soraka / Tahm Kench	0.45	0.02	0.23
44	Azir (NX/SH)	0.46	0.01	0.23
45	Zed (FR/IO)	0.43	0.03	0.22
46	Lissandra (FR/SH)	0.44	0.02	0.22
47	Nautilus (BW/SI)	0.45	0.01	0.23
48	Braum / Vladimir	0.44	0.02	0.22
49	Viktor / Zoe	0.45	0.01	0.23
50	Shyvana (DE/SI)	0.43	0.03	0.22
51	Zed (IO/NX)	0.43	0.01	0.22
52	Swain / Zilean	0.44	0.01	0.22
53	Zilean / Zoe	0.42	0.01	0.21
54	Lissandra / Swain	0.42	0.01	0.21
55	Draven / Riven (IO/NX)	0.41	0.01	0.21
56	Trundle (FR/PZ)	0.41	0.01	0.20
57	Ezreal / Teemo (FR/PZ)	0.39	0.02	0.20
58	Championless (PZ/SI)	0.39	0.01	0.19
59	Sivir / Zed	0.38	0.02	0.19
60	Twisted Fate / Zilean	0.34	0.01	0.17

---

Table A.4: Minmax table

deck_v1	vS	deck_v2	LMI	deck_v3	LMI (log)	deck_v4	LMI (sqrt)
Azir / Irelia	0.89	Azir / Irelia	0.92	Azir / Irelia	0.92	Azir / Irelia	0.92
Nasus / Thresh	0.75	Nasus / Thresh	0.79	Nasus / Thresh	0.87	Nasus / Thresh	0.83
Draven / Ezreal / Vi	0.51	Draven / Ezreal	0.54	Draven / Ezreal	0.76	Draven / Ezreal	0.65
Draven / Ezreal	0.49	Draven / Ezreal / Vi	0.50	Draven / Jinx	0.73	Draven / Jinx	0.59
Draven / Jinx	0.45	Draven / Jinx	0.49	Lissandra / Trundle (FR/SI)	0.70	Lissandra / Trundle (FR/SI)	0.58
Lissandra / Trundle (FR/SI)	0.41	Lissandra / Trundle (FR/SI)	0.47	Aurelion Sol / Shyvana / Zoe	0.66	Aurelion Sol / Shyvana / Zoe	0.52
Renekton / Sejuani / Sivir	0.36	Aurelion Sol / Shyvana / Zoe	0.42	Renekton / Sejuani / Sivir	0.63	Draven / Ezreal / Vi	0.51
Aurelion Sol / Shyvana / Zoe	0.35	Renekton / Sejuani / Sivir	0.41	Vi / Zoe	0.60	Renekton / Sejuani / Sivir	0.49
Vi / Zoe	0.32	Vi / Zoe	0.38	Lissandra / Taliyah	0.57	Vi / Zoe	0.46
Gangplank / Miss Fortune (BW/NX)	0.32	Gangplank / Miss Fortune (BW/NX)	0.37	Draven / Ezreal / Vi	0.55	Lissandra / Taliyah	0.43
Azir / Darius	0.29	Azir / Darius	0.35	Ashe / LeBlanc	0.54	Azir / Darius	0.41
Aurelion Sol / Jarvan IV / Shyvana	0.28	Lissandra / Taliyah	0.34	Azir / Darius	0.54	Gangplank / Miss Fortune (BW/NX)	0.41
Lissandra / Taliyah / Zilean	0.28	Lissandra / Taliyah / Zilean	0.34	Aurelion Sol / Shyvana	0.52	Ashe / LeBlanc	0.40
Lissandra / Taliyah	0.27	Aurelion Sol / Jarvan IV / Shyvana	0.34	Gangplank / Miss Fortune (BW/NX)	0.50	Aurelion Sol / Shyvana	0.38
Aurelion Sol / Zoe (DE/MT)	0.26	Aurelion Sol / Zoe (DE/MT)	0.33	Maokai / Nautilus	0.49	Aurelion Sol / Zoe (DE/MT)	0.37
Vi / Viktor / Zoe	0.26	Ashe / LeBlanc	0.32	Diana / Nocturne	0.48	Diana / Nocturne	0.37
Diana / Nocturne	0.25	Diana / Nocturne	0.32	Jarvan IV / Shen	0.48	Jarvan IV / Shen	0.37
Fiora / Shyvana (DE/FR)	0.25	Vi / Viktor / Zoe	0.32	Aurelion Sol / Zoe (DE/MT)	0.48	Maokai / Nautilus	0.36
Jarvan IV / Shen	0.24	Jarvan IV / Shen	0.31	Elise (NX/SI)	0.47	Lissandra / Taliyah / Zilean	0.36
Ashe / LeBlanc	0.24	Fiora / Shyvana (DE/FR)	0.31	Lissandra / Taliyah / Zilean	0.44	Elise (NX/SI)	0.35
Aurelion Sol / Shyvana	0.24	Aurelion Sol / Shyvana	0.31	Fizz / Twisted Fate (BW/PZ)	0.43	Aurelion Sol / Jarvan IV / Shyvana	0.34
Swain (NX/SH)	0.23	Maokai / Nautilus	0.30	Renekton / Sejuani	0.41	Fizz / Twisted Fate (BW/PZ)	0.33
Maokai / Nautilus	0.23	Fizz / Twisted Fate (BW/PZ)	0.30	Kalista (DE/SI)	0.39	Fiora / Shyvana (DE/FR)	0.33
Fizz / Twisted Fate (BW/PZ)	0.22	Swain (NX/SH)	0.30	Fiora / Shyvana (DE/FR)	0.38	Vi / Viktor / Zoe	0.32
Fiora / Shen	0.22	Darius / Zed	0.29	Aurelion Sol / Jarvan IV / Shyvana	0.37	Renekton / Sejuani	0.32
Darius / Zed	0.22	Fiora / Shen	0.29	Championless (DE/SI)	0.36	Darius / Zed	0.30
Lissandra / Zilean	0.20	Elise (NX/SI)	0.28	Fiora (DE/FR)	0.36	Swain (NX/SH)	0.30
Renekton / Sejuani	0.20	Renekton / Sejuani	0.28	LeBlanc / Sivir	0.36	Fiora / Shen	0.29
Elise (NX/SI)	0.20	Lissandra / Zilean	0.28	Renekton / Sivir (DE/SH)	0.35	Lissandra / Zilean	0.29
Elise / Kalista (DE/SI)	0.19	Elise / Kalista (DE/SI)	0.27	Darius / Zed	0.35	LeBlanc / Sivir	0.29
Sejuani / Swain	0.19	Aurelion Sol / Thresh	0.27	Vi / Viktor / Zoe	0.34	Aurelion Sol / Thresh	0.28
Aurelion Sol / Thresh	0.19	Sejuani / Swain	0.27	Gangplank / Sejuani	0.34	Kalista (DE/SI)	0.28
Gangplank / Sejuani	0.18	Gangplank / Sejuani	0.27	Nasus / Zilean (SI/SH)	0.33	Gangplank / Sejuani	0.28
Ezreal / Sejuani / Teemo	0.18	LeBlanc / Sivir	0.27	Soraka / Tahm Kench	0.33	Renekton / Sivir (DE/SH)	0.28
LeBlanc / Sivir	0.18	Ezreal / Sejuani / Teemo	0.26	Aurelion Sol / Thresh	0.33	Elise / Kalista (DE/SI)	0.28
Renekton / Sivir (DE/SH)	0.17	Renekton / Sivir (DE/SH)	0.26	Lee Sin / Zoe	0.33	Sejuani / Swain	0.27
Fiora / Zoe	0.16	Fiora / Zoe	0.25	Lissandra / Zilean	0.33	Ezreal / Sejuani / Teemo	0.27
Lee Sin / Zoe	0.14	Kalista (DE/SI)	0.24	Zed (FR/IO)	0.33	Championless (DE/SI)	0.27
Kalista (DE/SI)	0.14	Lee Sin / Zoe	0.24	Fiora / Zoe	0.32	Fiora / Zoe	0.27
Championless (DE/SI)	0.14	Championless (DE/SI)	0.24	Elise / Kalista (DE/SI)	0.31	Lee Sin / Zoe	0.26
Azir (NX/SH)	0.14	Azir (NX/SH)	0.23	Ezreal / Sejuani / Teemo	0.31	Nasus / Zilean (SI/SH)	0.25
Nautilus (BW/SI)	0.13	Nasus / Zilean (SI/SH)	0.22	Swain (NX/SH)	0.31	Soraka / Tahm Kench	0.25
Nasus / Zilean (SI/SH)	0.12	Nautilus (BW/SI)	0.22	Shyvana (DE/SI)	0.30	Fiora (DE/FR)	0.25
Soraka / Tahm Kench	0.12	Soraka / Tahm Kench	0.22	Fiora / Shen	0.30	Zed (FR/IO)	0.23
Viktor / Zoe	0.12	Viktor / Zoe	0.22	Lissandra (FR/SH)	0.30	Azir (NX/SH)	0.23
Lissandra (FR/SH)	0.10	Lissandra (FR/SH)	0.21	Sejuani / Swain	0.29	Lissandra (FR/SH)	0.23
Braum / Vladimir	0.10	Braum / Vladimir	0.20	Braum / Vladimir	0.29	Nautilus (BW/SI)	0.22
Zed (FR/IO)	0.09	Zed (FR/IO)	0.20	Zed (IO/NX)	0.24	Braum / Vladimir	0.22
Swain / Zilean	0.09	Fiora (DE/FR)	0.19	Azir (NX/SH)	0.24	Shyvana (DE/SI)	0.22
Fiora (DE/FR)	0.08	Swain / Zilean	0.19	Nautilus (BW/SI)	0.23	Viktor / Zoe	0.22
Zed (IO/NX)	0.08	Zed (IO/NX)	0.19	Viktor / Zoe	0.22	Zed (IO/NX)	0.20
Shyvana (DE/SI)	0.07	Shyvana (DE/SI)	0.19	Zilean / Zoe	0.21	Swain / Zilean	0.19
Zilean / Zoe	0.05	Zilean / Zoe	0.17	Swain / Zilean	0.19	Zilean / Zoe	0.18
Lissandra / Swain	0.04	Lissandra / Swain	0.16	Ezreal / Teemo (FR/PZ)	0.19	Lissandra / Swain	0.16
Draven / Riven (IO/NX)	0.02	Draven / Riven (IO/NX)	0.15	Trundle (FR/PZ)	0.17	Draven / Riven (IO/NX)	0.15
Trundle (FR/PZ)	0.00	Trundle (FR/PZ)	0.13	Draven / Riven (IO/NX)	0.17	Trundle (FR/PZ)	0.14
Ezreal / Teemo (FR/PZ)	-0.04	Ezreal / Teemo (FR/PZ)	0.10	Lissandra / Swain	0.16	Ezreal / Teemo (FR/PZ)	0.13
Championless (PZ/SI)	-0.05	Championless (PZ/SI)	0.09	Sivir / Zed	0.15	Championless (PZ/SI)	0.10
Sivir / Zed	-0.07	Sivir / Zed	0.08	Championless (PZ/SI)	0.10	Sivir / Zed	0.09
Twisted Fate / Zilean	-0.18	Twisted Fate / Zilean	0.00	Twisted Fate / Zilean	0.04	Twisted Fate / Zilean	0.01

---

Table A.5: Quantile table

deck_v1	LMI	deck_v2	LMI (log)	deck_v3	LMI (v)
Azir / Irelia	0.99	Azir / Irelia	0.99	Azir / Irelia	0.99
Nasus / Thresh	0.98	Nasus / Thresh	0.98	Nasus / Thresh	0.98
Draven / Ezreal	0.95	Draven / Ezreal	0.95	Draven / Ezreal	0.95
Draven / Jinx	0.93	Draven / Jinx	0.93	Draven / Jinx	0.93
Lissandra / Trundle (FR/SI)	0.91	Lissandra / Trundle (FR/SI)	0.91	Lissandra / Trundle (FR/SI)	0.91
Renekton / Sejuani / Sivir	0.90	Renekton / Sejuani / Sivir	0.90	Renekton / Sejuani / Sivir	0.90
Vi / Zoe	0.86	Vi / Zoe	0.86	Vi / Zoe	0.86
Aurelion Sol / Shyvana / Zoe	0.82	Aurelion Sol / Shyvana / Zoe	0.82	Aurelion Sol / Shyvana / Zoe	0.82
Azir / Darius	0.81	Azir / Darius	0.81	Azir / Darius	0.81
Gangplank / Miss Fortune (BW/NX)	0.79	Gangplank / Miss Fortune (BW/NX)	0.79	Gangplank / Miss Fortune (BW/NX)	0.79
Lissandra / Taliyah	0.77	Lissandra / Taliyah	0.77	Lissandra / Taliyah	0.77
Diana / Nocturne	0.74	Diana / Nocturne	0.74	Diana / Nocturne	0.74
Aurelion Sol / Zoe (DE/MT)	0.74	Aurelion Sol / Zoe (DE/MT)	0.74	Aurelion Sol / Zoe (DE/MT)	0.74
Jarvan IV / Shen	0.72	Jarvan IV / Shen	0.72	Jarvan IV / Shen	0.72
Aurelion Sol / Shyvana	0.72	Aurelion Sol / Shyvana	0.72	Aurelion Sol / Shyvana	0.72
Ashe / LeBlanc	0.71	Ashe / LeBlanc	0.71	Ashe / LeBlanc	0.71
Maokai / Nautilus	0.70	Maokai / Nautilus	0.70	Maokai / Nautilus	0.70
Lissandra / Taliyah / Zilean	0.69	Lissandra / Taliyah / Zilean	0.69	Lissandra / Taliyah / Zilean	0.69
Draven / Ezreal / Vi	0.66	Draven / Ezreal / Vi	0.66	Draven / Ezreal / Vi	0.66
Fizz / Twisted Fate (BW/PZ)	0.64	Fizz / Twisted Fate (BW/PZ)	0.64	Fizz / Twisted Fate (BW/PZ)	0.64
Elise (NX/SI)	0.62	Elise (NX/SI)	0.62	Elise (NX/SI)	0.62
Renekton / Sejuani	0.58	Renekton / Sejuani	0.58	Renekton / Sejuani	0.58
Fiora / Shyvana (DE/FR)	0.58	Fiora / Shyvana (DE/FR)	0.58	Fiora / Shyvana (DE/FR)	0.58
Aurelion Sol / Jarvan IV / Shyvana	0.56	Aurelion Sol / Jarvan IV / Shyvana	0.56	Aurelion Sol / Jarvan IV / Shyvana	0.56
Kalista (DE/SI)	0.52	Kalista (DE/SI)	0.52	Kalista (DE/SI)	0.52
Darius / Zed	0.51	Darius / Zed	0.51	Darius / Zed	0.51
Championless (DE/SI)	0.50	Championless (DE/SI)	0.50	Championless (DE/SI)	0.50
Vi / Viktor / Zoe	0.49	Vi / Viktor / Zoe	0.49	Vi / Viktor / Zoe	0.49
LeBlanc / Sivir	0.48	LeBlanc / Sivir	0.48	LeBlanc / Sivir	0.48
Renekton / Sivir (DE/SH)	0.48	Renekton / Sivir (DE/SH)	0.48	Renekton / Sivir (DE/SH)	0.48
Fiora (DE/FR)	0.46	Fiora (DE/FR)	0.46	Fiora (DE/FR)	0.46
Lissandra / Zilean	0.44	Lissandra / Zilean	0.44	Lissandra / Zilean	0.44
Aurelion Sol / Thresh	0.44	Aurelion Sol / Thresh	0.44	Aurelion Sol / Thresh	0.44
Gangplank / Sejuani	0.44	Gangplank / Sejuani	0.44	Gangplank / Sejuani	0.44
Lee Sin / Zoe	0.43	Lee Sin / Zoe	0.43	Lee Sin / Zoe	0.43
Swain (NX/SH)	0.43	Swain (NX/SH)	0.43	Swain (NX/SH)	0.43
Soraka / Tahm Kench	0.43	Soraka / Tahm Kench	0.43	Soraka / Tahm Kench	0.43
Nasus / Zilean (SI/SH)	0.42	Nasus / Zilean (SI/SH)	0.42	Nasus / Zilean (SI/SH)	0.42
Zed (FR/IO)	0.41	Zed (FR/IO)	0.41	Zed (FR/IO)	0.41
Fiora / Shen	0.40	Fiora / Shen	0.40	Fiora / Shen	0.40
Fiora / Zoe	0.40	Fiora / Zoe	0.40	Fiora / Zoe	0.40
Elise / Kalista (DE/SI)	0.40	Elise / Kalista (DE/SI)	0.40	Elise / Kalista (DE/SI)	0.40
Ezreal / Sejuani / Teemo	0.38	Ezreal / Sejuani / Teemo	0.38	Ezreal / Sejuani / Teemo	0.38
Shyvana (DE/SI)	0.38	Shyvana (DE/SI)	0.38	Shyvana (DE/SI)	0.38
Lissandra (FR/SH)	0.37	Lissandra (FR/SH)	0.37	Lissandra (FR/SH)	0.37
Sejuani / Swain	0.35	Sejuani / Swain	0.35	Sejuani / Swain	0.35
Braum / Vladimir	0.34	Braum / Vladimir	0.34	Braum / Vladimir	0.34
Ezreal / Teemo (FR/PZ)	0.27	Ezreal / Teemo (FR/PZ)	0.27	Ezreal / Teemo (FR/PZ)	0.27
Zed (IO/NX)	0.26	Zed (IO/NX)	0.26	Zed (IO/NX)	0.26
Azir (NX/SH)	0.24	Azir (NX/SH)	0.24	Azir (NX/SH)	0.24
Sivir / Zed	0.23	Sivir / Zed	0.23	Sivir / Zed	0.23
Nautilus (BW/SI)	0.20	Nautilus (BW/SI)	0.20	Nautilus (BW/SI)	0.20
Zilean / Zoe	0.20	Zilean / Zoe	0.20	Zilean / Zoe	0.20
Viktor / Zoe	0.16	Viktor / Zoe	0.16	Viktor / Zoe	0.16
Trundle (FR/PZ)	0.15	Trundle (FR/PZ)	0.15	Trundle (FR/PZ)	0.15
Draven / Riven (IO/NX)	0.13	Draven / Riven (IO/NX)	0.13	Draven / Riven (IO/NX)	0.13
Swain / Zilean	0.12	Swain / Zilean	0.12	Swain / Zilean	0.12
Twisted Fate / Zilean	0.11	Twisted Fate / Zilean	0.11	Twisted Fate / Zilean	0.11
Lissandra / Swain	0.08	Lissandra / Swain	0.08	Lissandra / Swain	0.08
Championless (PZ/SI)	0.07	Championless (PZ/SI)	0.07	Championless (PZ/SI)	0.07

---

Table A.6: Aggregation table

n	Deck	Freq Ind	WR Ind	LMI	LMI weight1	LMI weight2	geom LMI	geom LMI weight1	geom LMI weight2	harm LMI	harm LMI weight1	harm LMI weight2
1	Lissandra / Trundle (FR/SI)	0.95	0.87	0.91	0.93	0.92	0.91	0.93	0.92	0.91	0.93	0.92
2	Nasus / Thresh	0.98	0.97	0.98	0.98	0.98	0.97	0.98	0.98	0.97	0.98	0.98
3	Azir / Irelia	1.00	0.98	0.99	1.00	0.99	0.99	1.00	0.99	0.99	1.00	0.99
4	Aurelion Sol / Shyvana / Zoe	0.93	0.72	0.82	0.88	0.86	0.82	0.87	0.85	0.81	0.87	0.85
5	Diana / Nocturne	0.73	0.75	0.74	0.74	0.74	0.74	0.74	0.74	0.74	0.74	0.74
6	Draven / Ezreal	0.97	0.93	0.95	0.96	0.96	0.95	0.96	0.96	0.95	0.96	0.96
7	Aurelion Sol / Shyvana	0.83	0.60	0.72	0.78	0.76	0.71	0.77	0.75	0.70	0.76	0.74
8	Draven / Jinx	0.92	0.95	0.93	0.92	0.93	0.93	0.92	0.93	0.93	0.92	0.93
9	Ashe / LeBlanc	0.85	0.57	0.71	0.78	0.76	0.69	0.77	0.74	0.68	0.76	0.73
10	Zed (FR/IO)	0.62	0.20	0.41	0.51	0.48	0.35	0.47	0.42	0.30	0.41	0.36
11	Elise (NX/SI)	0.82	0.42	0.62	0.72	0.68	0.58	0.69	0.65	0.55	0.66	0.62
12	Ezreal / Teemo (FR/PZ)	0.47	0.07	0.27	0.37	0.33	0.18	0.29	0.24	0.12	0.19	0.16
13	Fiora (DE/FR)	0.77	0.15	0.46	0.61	0.56	0.34	0.51	0.45	0.25	0.38	0.32
14	Soraka / Tahm Kench	0.58	0.27	0.43	0.50	0.48	0.39	0.48	0.45	0.37	0.45	0.42
15	Renekton / Sejuani	0.67	0.50	0.58	0.62	0.61	0.58	0.62	0.61	0.57	0.62	0.60
16	Aurelion Sol / Zoe (DE/MT)	0.70	0.78	0.74	0.72	0.73	0.74	0.72	0.73	0.74	0.72	0.73
17	Zed (IO/NX)	0.33	0.18	0.26	0.30	0.28	0.25	0.29	0.27	0.24	0.28	0.26
18	LeBlanc / Sivir	0.52	0.45	0.48	0.50	0.49	0.48	0.50	0.49	0.48	0.50	0.49
19	Lee Sin / Zoe	0.50	0.37	0.43	0.47	0.46	0.43	0.46	0.45	0.42	0.46	0.45
20	Jarvan IV / Shen	0.75	0.70	0.72	0.74	0.73	0.72	0.74	0.73	0.72	0.74	0.73
21	Aurelion Sol / Jarvan IV / Shyvana	0.23	0.88	0.56	0.40	0.45	0.45	0.33	0.36	0.37	0.29	0.31
22	Lissandra / Taliyah / Zilean	0.55	0.83	0.69	0.62	0.64	0.68	0.61	0.63	0.66	0.60	0.62
23	Azir (NX/SH)	0.10	0.38	0.24	0.17	0.19	0.20	0.14	0.16	0.16	0.12	0.13
24	Vi / Zoe	0.87	0.85	0.86	0.86	0.86	0.86	0.86	0.86	0.86	0.86	0.86
25	Sejuani / Swain	0.15	0.55	0.35	0.25	0.28	0.29	0.21	0.23	0.24	0.18	0.20
26	Maokai / Nautilus	0.78	0.62	0.70	0.74	0.73	0.70	0.74	0.72	0.69	0.73	0.72
27	Lissandra / Taliyah	0.90	0.63	0.77	0.83	0.81	0.75	0.82	0.80	0.74	0.81	0.79
28	Azir / Darius	0.80	0.82	0.81	0.80	0.81	0.81	0.80	0.81	0.81	0.80	0.81
29	Vi / Viktor / Zoe	0.18	0.80	0.49	0.34	0.39	0.38	0.26	0.30	0.30	0.23	0.25
30	Braum / Vladimir	0.45	0.23	0.34	0.40	0.38	0.32	0.38	0.36	0.31	0.37	0.34
31	Fizz / Twisted Fate (BW/PZ)	0.63	0.65	0.64	0.64	0.64	0.64	0.64	0.64	0.64	0.64	0.64
32	Ezreal / Sejuani / Teemo	0.28	0.48	0.38	0.33	0.35	0.37	0.32	0.34	0.36	0.32	0.33
33	Renekton / Sejuani / Sivir	0.88	0.92	0.90	0.89	0.89	0.90	0.89	0.89	0.90	0.89	0.89
34	Championless (DE/SI)	0.65	0.35	0.50	0.58	0.55	0.48	0.56	0.53	0.45	0.54	0.51
35	Renekton / Sivir (DE/SH)	0.53	0.43	0.48	0.51	0.50	0.48	0.51	0.50	0.48	0.50	0.50
36	Swain / Zilean	0.03	0.22	0.12	0.08	0.09	0.08	0.05	0.06	0.06	0.04	0.05
37	Viktor / Zoe	0.02	0.30	0.16	0.09	0.11	0.07	0.03	0.04	0.03	0.02	0.02
38	Draven / Riven (IO/NX)	0.17	0.10	0.13	0.15	0.14	0.13	0.15	0.14	0.12	0.14	0.14
39	Gangplank / Miss Fortune (BW/NX)	0.68	0.90	0.79	0.74	0.76	0.78	0.73	0.75	0.78	0.73	0.74
40	Lissandra (FR/SH)	0.48	0.25	0.37	0.42	0.41	0.35	0.41	0.39	0.33	0.39	0.37
41	Lissandra / Zilean	0.30	0.58	0.44	0.37	0.39	0.42	0.35	0.37	0.40	0.34	0.36
42	Nasus / Zilean (SI/SH)	0.57	0.28	0.42	0.50	0.47	0.40	0.48	0.45	0.38	0.45	0.42
43	Draven / Ezreal / Vi	0.32	1.00	0.66	0.49	0.54	0.56	0.42	0.46	0.48	0.38	0.41
44	Nautilus (BW/SI)	0.07	0.33	0.20	0.13	0.16	0.15	0.10	0.11	0.11	0.08	0.09
45	Twisted Fate / Zilean	0.20	0.02	0.11	0.15	0.14	0.06	0.11	0.09	0.03	0.05	0.04
46	Darius / Zed	0.35	0.67	0.51	0.43	0.46	0.48	0.41	0.43	0.46	0.40	0.42
47	Elise / Kalista (DE/SI)	0.26	0.53	0.40	0.33	0.35	0.37	0.31	0.33	0.35	0.30	0.31
48	Trundle (FR/PZ)	0.22	0.08	0.15	0.18	0.17	0.13	0.17	0.16	0.12	0.15	0.14
49	Fiora / Shen	0.12	0.68	0.40	0.26	0.31	0.28	0.18	0.21	0.20	0.15	0.16
50	Shyvana (DE/SI)	0.60	0.17	0.38	0.49	0.46	0.32	0.44	0.39	0.26	0.36	0.32
51	Kalista (DE/SI)	0.72	0.32	0.52	0.62	0.58	0.48	0.58	0.55	0.44	0.54	0.50
52	Zilean / Zoe	0.26	0.13	0.20	0.23	0.22	0.19	0.22	0.21	0.18	0.21	0.20
53	Lissandra / Swain	0.05	0.12	0.08	0.07	0.07	0.08	0.06	0.07	0.07	0.06	0.06
54	Sivir / Zed	0.43	0.03	0.23	0.33	0.30	0.12	0.23	0.18	0.06	0.11	0.09
55	Aurelion Sol / Thresh	0.37	0.52	0.44	0.40	0.42	0.44	0.40	0.41	0.43	0.40	0.41
56	Championless (PZ/SI)	0.08	0.05	0.07	0.07	0.07	0.06	0.07	0.07	0.06	0.07	0.07
57	Fiora / Zoe	0.40	0.40	0.40	0.40	0.40	0.40	0.40	0.40	0.40	0.40	0.40
58	Gangplank / Sejuani	0.42	0.47	0.44	0.43	0.43	0.44	0.43	0.43	0.44	0.43	0.43
59	Swain (NX/SH)	0.13	0.73	0.43	0.28	0.33	0.31	0.20	0.24	0.23	0.17	0.18
60	Fiora / Shyvana (DE/FR)	0.38	0.77	0.58	0.48	0.51	0.54	0.46	0.48	0.51	0.44	0.46

---

Table A.7: Borda table

Deck	WR	PlayRate	rank Freq	rank WR	points Freq	points WR	Borda	LMI
Lissandra / Trundle (FR/SI)	0.51	0.06	4	9	57	52	109	0.91
Nasus / Thresh	0.54	0.16	2	3	59	58	117	0.98
Azir / Irelia	0.55	0.19	1	2	60	59	119	1.00
Aurelion Sol / Shyvana / Zoe	0.49	0.05	5	18	56	43	99	0.82
Diana / Nocturne	0.49	0.01	17	16	44	45	89	0.73
Draven / Ezreal	0.52	0.07	3	5	58	56	114	0.95
Aurelion Sol / Shyvana	0.48	0.02	11	25	50	36	86	0.70
Draven / Jinx	0.53	0.05	6	4	55	57	112	0.94
Ashe / LeBlanc	0.48	0.02	10	27	51	34	85	0.69
Zed (FR/IO)	0.43	0.01	24	49	37	12	49	0.37
Elise (NX/SI)	0.47	0.01	12	36	49	25	74	0.59
Ezreal / Teemo (FR/PZ)	0.39	0.00	33	57	28	4	32	0.22
Fiora (DE/FR)	0.43	0.01	15	52	46	9	55	0.42
Soraka / Tahm Kench	0.45	0.00	26	45	35	16	51	0.39
Renekton / Sejuani	0.47	0.01	21	31	40	30	70	0.56
Aurelion Sol / Zoe (DE/MT)	0.50	0.01	19	14	42	47	89	0.73
Zed (IO/NX)	0.43	0.00	41	50	20	11	31	0.21
LeBlanc / Sivir	0.47	0.00	30	34	31	27	58	0.45
Lee Sin / Zoe	0.46	0.00	31	39	30	22	52	0.40
Jarvan IV / Shen	0.49	0.01	16	19	45	42	87	0.71
Aurelion Sol / Jarvan IV / Shyvana	0.51	0.00	47	8	14	53	67	0.53
Lissandra / Taliyah / Zilean	0.51	0.00	28	11	33	50	83	0.68
Azir (NX/SH)	0.46	0.00	55	38	6	23	29	0.19
Vi / Zoe	0.51	0.02	9	10	52	51	103	0.86
Sejuani / Swain	0.48	0.00	52	28	9	33	42	0.31
Maokai / Nautilus	0.48	0.01	14	24	47	37	84	0.68
Lissandra / Taliyah	0.48	0.03	7	23	54	38	92	0.76
Azir / Darius	0.50	0.01	13	12	48	49	97	0.80
Vi / Viktor / Zoe	0.50	0.00	50	13	11	48	59	0.46
Braum / Vladimir	0.44	0.00	34	47	27	14	41	0.30
Fizz / Twisted Fate (BW/PZ)	0.49	0.01	23	22	38	39	77	0.62
Ezreal / Sejuani / Teemo	0.47	0.00	44	32	17	29	46	0.34
Renekton / Sejuani / Sivir	0.52	0.02	8	6	53	55	108	0.90
Championless (DE/SI)	0.45	0.01	22	40	39	21	60	0.47
Renekton / Sivir (DE/SH)	0.47	0.00	29	35	32	26	58	0.45
Swain / Zilean	0.44	0.00	59	48	2	13	15	0.06
Viktor / Zoe	0.45	0.00	60	43	1	18	19	0.10
Draven / Riven (IO/NX)	0.41	0.00	51	55	10	6	16	0.07
Gangplank / Miss Fortune (BW/NX)	0.52	0.01	20	7	41	54	95	0.78
Lissandra (FR/SH)	0.44	0.00	32	46	29	15	44	0.32
Lissandra / Zilean	0.48	0.00	43	26	18	35	53	0.41
Nasus / Zilean (SI/SH)	0.45	0.00	27	44	34	17	51	0.39
Draven / Ezreal / Vi	0.59	0.00	42	1	19	60	79	0.64
Nautilus (BW/SI)	0.45	0.00	57	41	4	20	24	0.14
Twisted Fate / Zilean	0.34	0.00	49	60	12	1	13	0.05
Darius / Zed	0.49	0.00	40	21	21	40	61	0.48
Elise / Kalista (DE/SI)	0.48	0.00	46	29	16	32	48	0.36
Trundle (FR/PZ)	0.41	0.00	48	56	13	5	18	0.09
Fiora / Shen	0.49	0.00	54	20	7	41	48	0.36
Shyvana (DE/SI)	0.43	0.01	25	51	36	10	46	0.34
Kalista (DE/SI)	0.45	0.01	18	42	43	19	62	0.49
Zilean / Zoe	0.42	0.00	46	53	16	8	24	0.14
Lissandra / Swain	0.42	0.00	58	54	3	7	10	0.02
Sivir / Zed	0.38	0.00	35	59	26	2	28	0.18
Aurelion Sol / Thresh	0.48	0.00	39	30	22	31	53	0.41
Championless (PZ/SI)	0.39	0.00	56	58	5	3	8	0.00
Fiora / Zoe	0.46	0.00	37	37	24	24	48	0.36
Gangplank / Sejuani	0.47	0.00	36	33	25	28	53	0.41
Swain (NX/SH)	0.49	0.00	53	17	8	44	52	0.40
Fiora / Shyvana (DE/FR)	0.50	0.00	38	15	23	46	69	0.55

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B Appendix

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Figure B.1: Boxplot of LMI when applying: vS / quantile / minmax+log trasnformation to playrate / minmax+sqrt transformation to playrate

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C Appendix - Reference Data

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The following is the table of the data I used for this analysis. I already filtered the cases with less than 100 games.

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1. If anyone reading this document have a good idea to suggest feel free to suggest it by contacting me for example via twitter.↩︎

2. With the max WR = 100% and its complementary to 100 which is 100-100=0, the scale still remain 0 to 100%↩︎