My son has been playing the old SNES game Final Fantasy VI on iOS. Being one of the truly cherished games from my childhood, we decided to make a fun data project out of it. It's a great way to expose him to data science and programming with a topic he enjoys.
For any RPG one of the best sources of data is its (likely) extensive bestiary. Final Fantasy VI is no exception, upping the enemy count from its predecessors as well as the range of their abilities. The mobile re-releases of the game in the 2010s brought numerous end-game enemy additions for high level players. After searching online we found a pair of text file bestiary guides, one covering only the original SNES enemies and one with the recent mobile version enemy roster. We chose the modern version which would allow us to do some investigation of the newly included baddies.
We did some further work using the Final Fantasy Wiki to label each enemy as a boss or normal encounter. We thought this would allows us to see if we could predict whether or not an enemy was a boss based on their basic character data (see below). In addition to building a basic classification model we also did some exploratory data analysis on the stats for each enemy.
There are various text categories for each enemy as well, such as their location, spells and abilities they're weak against, items to steal or dropped, and their attack animations. These variables could be dummied and investigated in a model, but they also make for a simple dataset ripe for text analysis.
(SNES in parenthesis)
| Feature | Description | Var Type | Min | Max |
|---|---|---|---|---|
| Name | Mobile version name | str | Abaddon | Zurvan |
| SNES Name | Original SNES name | str | 1st Class | Zone Eater |
| Location | Place encountered | str | Airship | Zozo |
| Level | Level | int | Yes | 99 |
| HP | Hit Points | int | Yes | 65,500 (63,000) |
| MP | Magic Points | int | 0 | 65,000 (60,000) |
| Attack | Physical Att. Power | int | Yes | 250 |
| Magic Attack | Magical Att. Power | int | 0 | 100 (55) |
| Defense | Physical Def. Power | int | 0 | 255 |
| Magic Defense | Magical Def. Power | int | Yes | 255 |
| Evasion | Physical Evasion | int | 0 | 255 (250) |
| Magic Evasion | Magical Evasion | int | 0 | 255 (250) |
| Speed | Speed | int | Yes | 99 |
| Gil | Gil won by player | int | 0 | 50,000 (30,000) |
| EXP | Experience won | int | 0 | 50,000 (14,396) |
| Steal | Items to steal | list | Air Anchor | X-Potion |
| Drops | Items dropped at death | list | Air Knife | Zwill Crossblade |
| Elemental Immunity | Elements immune to | list | Earth | Wind |
| Weak Against | Elements weak vs. | list | Earth | Wind |
| Absorbs | Elements absorbed | list | Earth | Wind |
| Type | Special monster type | category | N/A | Undead |
| Status Immunity | Statuses immune to | list | Berserk | Zombie |
| Vulnerable To | Statuses weak vs. | list | Berserk | Zombie |
| Inherent Status | Default statuses | list | Berserk | Zombie |
| Other Immunity | Ability immunities | list | Control | None |
| Rage | Attack by Gau's Rage | str | 1000 Needles | Wing Snap |
| Sketch | Attacks by Relm's Sketch | list | Absolute Zero | Yawn |
| Control | Attack by Relm's Control | str | Acid Rain | Zombie Fang |
| Metamorphose | Items Metamorphosed into | list | Angel Ring | Viper Darts |
| MP Kill | Kill with MP attack | bool | False | True |
| Imp Criticals | Critical hits as Imp | bool | False | True |
| Run Difficulty | Ease to run from | category | Easy | Can't Run Away |
| Attack Visual | Animation for each attack | str | Chain Flail | Trident |
Can We Predict if an Enemy is, Like, a Boss?
In the interest of keeping things simple we ran an out-of-the-box Random Forest classifier as our model.
To get a more robust picture of the model's learning of the dataset we ran the model fifteen times using a random splitting of the dataset each time (70% train, 30% test) to make our predictions. We aggregated the results and report them below.
The total number of enemies in the bestiary is 406. Of these, 110 are classified as being a, or part of a, boss encounter. This gives a 72:27 ratio of normal-to-boss enemies. This imbalance means that our baseline for any model classifying enemies as boss-or-not is ~72%, since if we blindly labeled every single enemy in the bestiary as "not boss" we'd be right 72% of the time.
| Category | Count |
|---|---|
| Total Enemies | 406 |
| Bosses | 110 |
There are a few steps we can take counteract this inherent imbalance; we'll use only two basic ones here, but they're still effective and smart to utilize. The first method was to stratify the data when we split it, ensuring a proportionate distribution of classes in both the training and testing data. The second was to use a weighted scoring metric which mathematically rewards or diminishes the value of each classification based on the class weights.
Using the weighted F1 Score, we were able to achieve appreciable success. The average training data F1 score was around 94.55% with the average testing data F1 score slightly below at 92.13%, as expected. Pruning of the trees in the Random Forest helped reduce overfitting to narrow the gap between the two. (If there's a wide gap between your training and testing scores, you're likely overfitting your model). Also as expected, the variance in the training scores for all fifteen predictions was smaller (0.0083) than that for the testing scores (0.0220).
| Run | Train F1 (%) | Test F1 (%) | ∆ |
|---|---|---|---|
| 1 | 94.17 | 89.75 | 4.42 |
| 2 | 93.50 | 92.83 | 0.67 |
| 3 | 95.85 | 92.72 | 3.13 |
| 4 | 94.50 | 88.99 | 5.51 |
| 5 | 93.15 | 94.29 | -1.14 |
| 6 | 94.18 | 88.99 | 5.19 |
| 7 | 93.17 | 92.10 | 1.07 |
| 8 | 95.19 | 95.92 | -0.73 |
| 9 | 94.85 | 89.48 | 5.37 |
| 10 | 95.85 | 93.60 | 2.25 |
| 11 | 95.50 | 92.83 | 2.67 |
| 12 | 94.17 | 90.57 | 3.60 |
| 13 | 94.50 | 91.28 | 3.22 |
| 14 | 94.45 | 95.96 | -1.51 |
| 15 | 95.13 | 92.59 | 2.54 |
| Avg. | 94.55 | 92.13 | 2.42 |
| Std. | 0.0083 | 0.0220 | -.0137 |
The most predictive feature in the dataset for determining whether an enemy was a boss or not was (*drumroll emoji*)... Experience Won and Gil Won!
| Rank | Feature | Importance |
|---|---|---|
| 1 | Experience | 31.51% |
| 2 | Gil | 22.24% |
| 3 | MP | 14.38% |
| 4 | HP | 10.90% |
| 5 | Level | 5.29% |
| 6 | Magic_Attack | 5.25% |
| 7 | Speed | 2.58% |
| 8 | Attack | 1.98% |
| 9 | Defense | 1.36% |
| 10 | Evasion | 1.34% |
| 11 | Dragon_Den | 1.02% |
| 12 | Magic_Defense | 0.93% |
| 13 | iOS | 0.72% |
| 14 | Magic_Evasion | 0.49% |
This is somewhat surprising initially because our first hunch was that the characteristics of the bosses, such as their magic attack or physical defense or evasion would separate them from normal enemies. But this is where understanding the data comes into play.
We must remember that feature importance doesn't tell us whether having more or less of something is important for predicting the target, only that having one of those two characteristics -- high or low in some variable -- is important. A quick glance at the mean values for the experience that bosses give the player when defeated shows the reason why: bosses don't give Experience or Gil!
That's an unexpected finding. Generally speaking, bosses are the toughest enemies in the game at the point in which they're encountered. You'd expect to get the most experience and the most money upon victory. In many RPGs this is the case. In Final Fantasy VI (and, perhaps, in other early-generation Final Fantasies) it isn't. The reward for beating most bosses is, apparently, continuation of the story and a bit of personal satisfaction. Actually, we all know the real purpose of boss fights is getting to hear the decisively awesome boss battle theme. Awwwww yeahhhhh!
There is a distinction to make here, however. As mentioned earlier the mobile versions of the game released in the last few years brought about the addition of end-game bosses (and an end-game dungeon). These bosses do give experience. Considering they have no relevance to the story, which is originally what defined a boss battle -- an enemy the player must defeat in order to advance the game's story -- and that they weren't originally included in the game, I think a fair investigation can exclude them from the analysis.
Doing so gives a smaller dataset of only 366 enemies with 96 bosses, and ups the predictive ability of the model since only one of the bosses of those 96 gives experience.
| Category | Count | Num. Giving Exp | % Giving Exp | Num. Giving Gil | % Giving Gil |
|---|---|---|---|---|---|
| Total Enemies | 366 | 246 | 67.2% | 249 | 68.0% |
| Non-Bosses | 270 | 245 | 90.7% | 238 | 88.1% |
| Bosses | 96 | 1 | 1.04% | 11 | 11.4% |
With this trimmed, SNES-only dataset we can see why the model latches onto Experience as the biggest predictor for whether an enemy is a boss or not. Over 90% of non-bosses give the player some experience upon being defeated, while only 1% of bosses do (side note: the only boss to give experience is the "Hell's Rider" enemy, the mounted soldier patrolling the wintry peaks above Narshe during Kefka's World of Balance assault). The same goes for Gil as well, with bosses giving none.
The feature importances remain the same as well, with slightly increased Experience importance and zero importance for Dragon Den.
The classification results improve as well, showing that the SNES-only database is slightly easier to make predictions on because of the lack of experience-giving bosses. With a mean test F1 score of 96.87% from fifteen randomized runs, it's clear we can detect whether an enemy would be a boss or not in the original SNES version of Final Fantasy VI.
Here are the results from running the model fifteen times with only the SNES enemies list.
| Measure | Train F1 | Test F1 | ∆ |
|---|---|---|---|
| Mean | 98.14% | 96.87% | 1.27 |
| Std. | .0047 | .0124 | -.0076 |
With the results from our model in hand, it is usually fun to do some visual inspection of the features or trends reported above.
With bosses colored red and non-bosses blue, we see that bosses just don't give experience regardless of how high their level is. As non-bosses become higher in level they give more experience. This plot confirms what our model picked up, as shown in their trend line that climbs rapidly. Bosses would have a flat trend line, of course.
Referencing the feature importances above, HP and MP are ranked 3rd and 4th, respectively. This makes sense as we'd expect bosses to have more of both statistics since they are meant to be more challenging enemies. Their values in these two stats just happens to vary some, which makes sense, while Experience does not, giving it the stronger predictive power. The mean for the SNES-only population of enemies is marked by dashed lines for both axes. We see an indistinguishable cluster of non-bosses (blue) in the bottom left of the plot, while bosses are distributed at a much higher range of both HP and MP. We will quantify this below.
To belabor the point, bosses have more health per level as we'd expect from the previous plot. The same is true for MP.
We'd think bosses would have higher values in all stats than normal enemies, but this isn't the case. It's only true for HP and MP. Here we look at their Defense and Magic Defense and see no separation at all from non-bosses.
For each enemy in the database the model makes a prediction: is this enemy a boss or not? While the final classification is binary (yes or no), the degree to which the model "believes" in this classification is not. For each enemy the model assigns a probability that they are indeed what the model has classified them as; in other words, the model tells us how confident it is about each enemy being a boss or not.
I thought it would be fun to look at these probabilities to see exactly which enemies the model says are the most "boss-like". Here's a table of the fifteen most probable bosses according to this model (again, after aggregating fifteen randomly selected runs), with a full list in the appendix at the end of this post.
| Rank | SNES_Name | Actual Boss? | Probability | Prediction | Correct? | Location |
|---|---|---|---|---|---|---|
| 1 | White Drgn | Yes | 95.64% | Boss | Yes | Cultists' Tower |
| 2 | Doom | Yes | 95.62% | Boss | Yes | Kefka's Tower (Final Battle) |
| 3 | Blue Drgn | Yes | 95.32% | Boss | Yes | Ancient Castle |
| 4 | Sleep | Yes | 95.30% | Boss | Yes | Kefka's Tower (Final Battle) |
| 5 | Master Pug | Yes | 95.28% | Boss | Yes | Cave to Ancient Castle |
| 6 | Red Dragon | Yes | 95.28% | Boss | Yes | Phoenix Cave |
| 7 | Storm Drgn | Yes | 95.26% | Boss | Yes | Mt. Zozo |
| 8 | Tiger | Yes | 95.21% | Boss | Yes | Kefka's Tower (Final Battle) |
| 9 | Ice Dragon | Yes | 95.15% | Boss | Yes | Narshe Cliffs |
| 10 | Gold Drgn | Yes | 95.04% | Boss | Yes | Kefka's Tower |
| 11 | Tools | Yes | 94.85% | Boss | Yes | Kefka's Tower (Final Battle) |
| 12 | Inferno | Yes | 94.80% | Boss | Yes | Kefka's Tower |
| 13 | Short Arm | Yes | 94.61% | Boss | Yes | Kefka's Tower (Final Battle) |
| 14 | Striker | Yes | 94.57% | Boss | Yes | Kefka's Tower |
| 15 | Face | Yes | 94.40% | Boss | Yes | Kefka's Tower (Final Battle) |
For fun let's look at the least likely bosses.
| Rank | SNES_Name | Actual Boss? | Probability | Prediction | Correct? | Location |
|---|---|---|---|---|---|---|
| 1 | Vindr | No | 3.06% | Normal | Yes | Owzer's Mansion (WoR) |
| 2 | Ralph | No | 3.18% | Normal | Yes | Grass Areas (WoR) |
| 3 | Muus | No | 3.18% | Normal | Yes | Grass Areas (WoR) |
| 4 | Maliga | No | 3.19% | Normal | Yes | Figaro Continent (WoR) |
| 5 | Exoray | No | 3.20% | Normal | Yes | Darril's Tomb (WoR) |
| 6 | Wild Cat | No | 3.22% | Normal | Yes | Owzer's Mansion (WoR) |
| 7 | Poppers | No | 3.22% | Normal | Yes | Umaro's Cave |
| 8 | Iron Fist | No | 3.23% | Normal | Yes | Kohlingen Forest |
| 9 | Osprey | No | 3.23% | Normal | Yes | Southern Continent (WoR) |
| 10 | Gigan Toad | No | 3.24% | Normal | Yes | Southern Continent (WoR) |
These results fit well with common sense. Many of the top fifteen probable bosses are dragons or are found in Kefka's Tower, the game's final dungeon. Indeed six of the fifteen most probable are from the final battle itself. Conversely the least likely to be bosses are nearly all random Overworld enemies.
Hypothesis testing is one way we can determine whether or not two groups or classes -- such as bosses vs. non-bosses -- are mathematically different from each other (in whatever metric we choose). Once analyzed, if they are statistically separated beyond a given threshold, we can say they independent from each other with an certain level of confidence (chosen by us; higher confidence means more difficult threshold to pass). If they are not different enough we can't say that they are actually the same. Instead all we can say is that the two groups are not different enough to rule out that their measurements merely occurred by chance (again, we determine how strict "chance" is here).
As an example if we measured the difference between bosses' Experience given and non-bosses, we'd find that yes, there is clear statistical evidence that they are different groups (one being basically zero, the other in the hundreds or thousands).
(Bold if at least double the other)
| Attribute | Non-Bosses Mean | Bosses Mean | Larger | X-times Larger |
|---|---|---|---|---|
| Exp | 1,029.4 | 4.1 | Non | 251.0x |
| Gil (No KatanaSoul) * | 577.1 | 53.8 | Non | 10.7x |
| HP | 2,775.7 | 19,841 | Boss | 7.1x |
| MP | 1,392.2 | 7,101.6 | Boss | 5.1x |
| Evasion | 10.4 | 5.8 | Non | 1.8x |
| Level | 28.6 | 42.1 | Boss | 1.4x |
| Attack | 15.6 | 23 | Boss | 1.4x |
| Speed | 34.2 | 42.8 | Boss | 1.2x |
| Magic_Attack | 10.3 | 8.8 | Non | 1.1x |
| Magic_Evasion | 1.85 | 1.6 | Non | 1.1x |
| Defense | 112.0 | 116.4 | Boss | 1.0x |
| Magic_Defense | 139.3 | 143.6 | Boss | 1.0x |
| Sample Size | 272 | 96 | Non | (2.8x) |
* Only seven bosses give over 100 gil. Only one boss, KatanaSoul, gives appreciable gil. In fact, he gives 30,000 Gil which not only skews the entire category for bosses but is also the single largest purse rewarded by any enemy in the entire SNES game (second highest in the mobile versions). Taking him out, the mean gil given by bosses becomes a paltry 53 gil which is far more representative of the other 95 Bosses.
This breakdown of the means per category between the two classes of enemies gives us great insight into what we could investigate with a hypothesis test. It is not surprising to see the categories of the four largest percentage differences are also the four features the model identified as being most important in predicting whether an enemy is a boss or not. Thus the four features we'd like to test are the four largely different ones, and Evasion because it might be close to being significant as well.
The basic Z-test and t-test make the assumption that our population is normally distributed -- after all, that's what the Z-score and t-score mean: how far our observed sample mean is from the population's/other sample's mean in a normal distribution. So, we need to test to see if our data is normally distributed.
To do this we can use a QQ plot to analyze the residuals of our data. Keeping it simple, we want to see our data follow the straight line which would match the theoretical distribution (i.e. normal distribution in this case) our of data. Since HP and MP are quite similar, I will only use HP.
Well, that's not a good result. Of the three features that were important for the model, none are normally distributed. The QQ plot is just a visual check but is very instructive in this case. To be fair, we saw above in the scatter plots and % Giving table that Exp and Gil are very much not normally distributed. The QQ plots only confirm this. Defense is also the feature which is "most normal." If the other features were also as close to normality we could do further tests like the Shapiro-Wilk analysis to try to quantify "how normal" they were. But we don't even need to do that as they very clearly are not.
We can still do the Z-test (since we do have over 30 samples and know the standard deviations), but its meaning is left uncertain. If the results say that the mean for Exp for non-bosses is 10σ greater than the mean for bosses, what meaning does that really have when the underlying distribution itself isn't even remotely close to normal? Pushing it farther is beyond the scope of this write-up, so instead we will simply carry out the tests per normal just to get a sense of these categories between bosses and non-bosses for demonstrational purposes.
| Category | Boss Z Score (σ) |
|---|---|
| Exp. | -10.04 |
| Gil | -7.97 |
| HP | 9.08 |
| MP | 4.75 |
| Defense | -1.59 |
Pretending these features did come from roughly normal distributions, we'd be able to reject the null hypothesis that bosses and non-bosses have indistinguishable statistics in the four most "important" categories according to our model. Again, intuitively this fits well -- the model deemed these as the most predictive features so it is sensible to see that there are real distinctions between bosses and non-bosses in them. Defense, the one variable whose roughly Gaussian distribution makes this hypothesis test valid, just misses passing our threshold of the 95-percent confidence level (-1.65), meaning we could not say statistically that a boss' defense was different than a non-bosses beyond chance.
- Parse text features like Location, Steal, or Drop to get the items, rates, etc. for each and dummy those for more insight. I bet immunities scale well with bosses....
| SNES_Name | Actual Boss | Probability | Prediction | Right Prediction? |
|---|---|---|---|---|
| White Drgn | Yes | 0.956485 | Boss | Yes |
| Doom | Yes | 0.956232 | Boss | Yes |
| Blue Drgn | Yes | 0.953287 | Boss | Yes |
| Sleep | Yes | 0.953098 | Boss | Yes |
| Master Pug | Yes | 0.952831 | Boss | Yes |
| Red Dragon | Yes | 0.952810 | Boss | Yes |
| Storm Drgn | Yes | 0.952680 | Boss | Yes |
| Tiger | Yes | 0.952158 | Boss | Yes |
| Ice Dragon | Yes | 0.951512 | Boss | Yes |
| Gold Drgn | Yes | 0.950414 | Boss | Yes |
| Tools | Yes | 0.948505 | Boss | Yes |
| Inferno | Yes | 0.948053 | Boss | Yes |
| Short Arm | Yes | 0.946134 | Boss | Yes |
| Striker | Yes | 0.945745 | Boss | Yes |
| Face | Yes | 0.944032 | Boss | Yes |
| Phunbaba #3 | Yes | 0.943571 | Boss | Yes |
| Dullahan | Yes | 0.942945 | Boss | Yes |
| Phunbaba #4 | Yes | 0.942805 | Boss | Yes |
| Skull Drgn | Yes | 0.942409 | Boss | Yes |
| Phunbaba | Yes | 0.941779 | Boss | Yes |
| Ultros #3 | Yes | 0.940362 | Boss | Yes |
| Doom Gaze | Yes | 0.940050 | Boss | Yes |
| Hit | Yes | 0.939855 | Boss | Yes |
| Magic | Yes | 0.936566 | Boss | Yes |
| Atma | Yes | 0.933805 | Boss | Yes |
| Hidon | Yes | 0.932706 | Boss | Yes |
| Kefka | Yes | 0.932470 | Boss | Yes |
| Phunbaba #2 | Yes | 0.931509 | Boss | Yes |
| Wrexsoul | Yes | 0.930727 | Boss | Yes |
| Chadarnook | Yes | 0.929414 | Boss | Yes |
| Chadarnook #2 | Yes | 0.929391 | Boss | Yes |
| Umaro | Yes | 0.927943 | Boss | Yes |
| AtmaWeapon | Yes | 0.927535 | Boss | Yes |
| Poltrgeist | Yes | 0.927480 | Boss | Yes |
| SrBehemoth #2 | Yes | 0.926387 | Boss | Yes |
| SrBehemoth | Yes | 0.920595 | Boss | Yes |
| Girl | Yes | 0.920220 | Boss | Yes |
| Tritoch #3 | Yes | 0.919888 | Boss | Yes |
| Number 128 | Yes | 0.919850 | Boss | Yes |
| Moe | Yes | 0.919292 | Boss | Yes |
| Dirt Drgn | Yes | 0.918232 | Boss | Yes |
| Goddess | Yes | 0.917442 | Boss | Yes |
| FlameEater | Yes | 0.916002 | Boss | Yes |
| Tentacle #2 | Yes | 0.915898 | Boss | Yes |
| Larry | Yes | 0.915078 | Boss | Yes |
| Tentacle | Yes | 0.914851 | Boss | Yes |
| Curley | Yes | 0.913987 | Boss | Yes |
| Tritoch #2 | Yes | 0.913260 | Boss | Yes |
| SoulSaver | Yes | 0.909669 | Boss | Yes |
| Tentacle #4 | Yes | 0.908459 | Boss | Yes |
| MissileBay | Yes | 0.905828 | Boss | Yes |
| Tritoch | Yes | 0.905649 | Boss | Yes |
| Tentacle #3 | Yes | 0.904011 | Boss | Yes |
| Chupon #2 | Yes | 0.900924 | Boss | Yes |
| Chupon | Yes | 0.900552 | Boss | Yes |
| Guardian | Yes | 0.899279 | Boss | Yes |
| Ultros | Yes | 0.898088 | Boss | Yes |
| Ultros #2 | Yes | 0.896964 | Boss | Yes |
| Rough | Yes | 0.894461 | Boss | Yes |
| Ultros #4 | Yes | 0.894097 | Boss | Yes |
| Crane #2 | Yes | 0.892818 | Boss | Yes |
| Number 024 | Yes | 0.891203 | Boss | Yes |
| Ifrit | Yes | 0.888766 | Boss | Yes |
| Kefka #2 | Yes | 0.884097 | Boss | Yes |
| Long Arm | Yes | 0.881370 | Boss | Yes |
| Hidonite | Yes | 0.878668 | Boss | Yes |
| Crane | Yes | 0.877504 | Boss | Yes |
| Hidonite #4 | Yes | 0.874953 | Boss | Yes |
| Hidonite #2 | Yes | 0.874386 | Boss | Yes |
| Guardian #2 | Yes | 0.872717 | Boss | Yes |
| Hidonite #3 | Yes | 0.868432 | Boss | Yes |
| Shiva | Yes | 0.867825 | Boss | Yes |
| Left Blade | Yes | 0.862286 | Boss | Yes |
| Siegfried #2 | Yes | 0.861657 | Boss | Yes |
| Pugs | Yes | 0.845212 | Boss | Yes |
| Laser Gun | Yes | 0.838951 | Boss | Yes |
| Head | Yes | 0.834829 | Boss | Yes |
| Air Force | Yes | 0.826384 | Boss | Yes |
| Specter | 0 | 0.824626 | Boss | No |
| KatanaSoul | Yes | 0.810851 | Boss | Yes |
| Whelk | Yes | 0.809127 | Boss | Yes |
| GhostTrain | Yes | 0.802074 | Boss | Yes |
| Intangir | 0 | 0.801050 | Boss | No |
| Vargas | Yes | 0.788006 | Boss | Yes |
| Whelk Head | Yes | 0.774232 | Boss | Yes |
| MagiMaster | Yes | 0.756835 | Boss | Yes |
| M-TekArmor | Yes | 0.750494 | Boss | Yes |
| Nerapa | Yes | 0.737887 | Boss | Yes |
| Presenter | Yes | 0.736911 | Boss | Yes |
| RightBlade | Yes | 0.736239 | Boss | Yes |
| Speck | Yes | 0.724175 | Boss | Yes |
| Rizopas | Yes | 0.699169 | Boss | Yes |
| Allo Ver | 0 | 0.684843 | Boss | No |
| Dadaluma | Yes | 0.679066 | Boss | Yes |
| Ipooh | Yes | 0.639694 | Boss | Yes |
| Naughty | 0 | 0.633450 | Boss | No |
| Telstar | 0 | 0.618884 | Boss | No |
| Marshal | Yes | 0.568641 | Boss | Yes |
| Siegfried | Yes | 0.567093 | Boss | Yes |
| TunnelArmr | Yes | 0.566835 | Boss | Yes |
| Piranha | 0 | 0.482761 | No | Yes |
| Soldier #2 | 0 | 0.423284 | No | Yes |
| Brachosaur | 0 | 0.414558 | No | Yes |
| Land Worm | 0 | 0.411210 | No | Yes |
| L.90 Magic | 0 | 0.404199 | No | Yes |
| Nohrabbit | 0 | 0.377637 | No | Yes |
| Scullion | 0 | 0.358531 | No | Yes |
| L.60 Magic | 0 | 0.340282 | No | Yes |
| L.80 Magic | 0 | 0.340156 | No | Yes |
| L.50 Magic | 0 | 0.327576 | No | Yes |
| L.70 Magic | 0 | 0.316479 | No | Yes |
| Magic Urn | 0 | 0.299061 | No | Yes |
| Dragon | 0 | 0.298808 | No | Yes |
| Gigantos | 0 | 0.297205 | No | Yes |
| Tyranosaur | 0 | 0.297165 | No | Yes |
| L.30 Magic | 0 | 0.291166 | No | Yes |
| L.40 Magic | 0 | 0.289285 | No | Yes |
| Cadet | 0 | 0.283220 | No | Yes |
| L.20 Magic | 0 | 0.283132 | No | Yes |
| L.10 Magic | 0 | 0.274864 | No | Yes |
| Behemoth | 0 | 0.269365 | No | Yes |
| Doberman | 0 | 0.269022 | No | Yes |
| Didalos | 0 | 0.268025 | No | Yes |
| Leader | 0 | 0.259767 | No | Yes |
| Rider | Yes | 0.251856 | No | No |
| EarthGuard | 0 | 0.248088 | No | Yes |
| Hoover | 0 | 0.244752 | No | Yes |
| Veteran | 0 | 0.243489 | No | Yes |
| Templar | 0 | 0.240711 | No | Yes |
| Soldier | 0 | 0.235018 | No | Yes |
| Cactrot | 0 | 0.229134 | No | Yes |
| Mover | 0 | 0.221985 | No | Yes |
| Prometheus | 0 | 0.217618 | No | Yes |
| Mega Armor | 0 | 0.214704 | No | Yes |
| Grunt | 0 | 0.212900 | No | Yes |
| Doom Drgn | 0 | 0.210766 | No | Yes |
| Peepers | 0 | 0.207570 | No | Yes |
| Sp Forces | 0 | 0.206382 | No | Yes |
| Zone Eater | 0 | 0.192845 | No | Yes |
| Vomammoth | 0 | 0.176938 | No | Yes |
| Steroidite | 0 | 0.176694 | No | Yes |
| Brontaur | 0 | 0.176499 | No | Yes |
| GtBehemoth | 0 | 0.170180 | No | Yes |
| HeavyArmor | 0 | 0.163533 | No | Yes |
| Mantodea | 0 | 0.157745 | No | Yes |
| Dark Force | 0 | 0.155472 | No | Yes |
| Fortis | 0 | 0.152340 | No | Yes |
| Lethal Wpn | 0 | 0.147822 | No | Yes |
| Trixter | 0 | 0.145940 | No | Yes |
| Necromancr | 0 | 0.141195 | No | Yes |
| Outsider | 0 | 0.140026 | No | Yes |
| Goblin | 0 | 0.138056 | No | Yes |
| Retainer | 0 | 0.136109 | No | Yes |
| Dahling | 0 | 0.134894 | No | Yes |
| Crawler | 0 | 0.134885 | No | Yes |
| Grenade | 0 | 0.131588 | No | Yes |
| Evil Oscar | 0 | 0.129909 | No | Yes |
| Vectagoyle | 0 | 0.126831 | No | Yes |
| Sky Base | 0 | 0.126471 | No | Yes |
| Chaos Drgn | 0 | 0.123935 | No | Yes |
| Hemophyte | 0 | 0.119457 | No | Yes |
| Aspik | 0 | 0.118851 | No | Yes |
| Pug | 0 | 0.114497 | No | Yes |
| Mad Oscar | 0 | 0.108689 | No | Yes |
| Rhyos | 0 | 0.107101 | No | Yes |
| Displayer | 0 | 0.105119 | No | Yes |
| Phase | 0 | 0.105027 | No | Yes |
| Brainpan | 0 | 0.102843 | No | Yes |
| Madam | 0 | 0.102532 | No | Yes |
| Black Drgn | 0 | 0.101233 | No | Yes |
| Geckorex | 0 | 0.097787 | No | Yes |
| Dueller | 0 | 0.096390 | No | Yes |
| Opinicus | 0 | 0.095093 | No | Yes |
| FossilFang | 0 | 0.094904 | No | Yes |
| Allosaurus | 0 | 0.094897 | No | Yes |
| Warlock | 0 | 0.093887 | No | Yes |
| Borras | 0 | 0.093219 | No | Yes |
| Aquila | 0 | 0.089355 | No | Yes |
| TumbleWeed | 0 | 0.086053 | No | Yes |
| Samurai | 0 | 0.084244 | No | Yes |
| Sprinter | 0 | 0.083980 | No | Yes |
| Crusher | 0 | 0.083612 | No | Yes |
| Uroburos | 0 | 0.083260 | No | Yes |
| Lobo | 0 | 0.083017 | No | Yes |
| Spek Tor | 0 | 0.081628 | No | Yes |
| Still Life | 0 | 0.080982 | No | Yes |
| IronHitman | 0 | 0.079793 | No | Yes |
| HadesGigas | 0 | 0.079664 | No | Yes |
| Parasoul | 0 | 0.078744 | No | Yes |
| Reach Frog | 0 | 0.076804 | No | Yes |
| Boxed Set | 0 | 0.076108 | No | Yes |
| Pterodon | 0 | 0.076019 | No | Yes |
| ChickenLip | 0 | 0.075282 | No | Yes |
| Nightshade | 0 | 0.074196 | No | Yes |
| Chaser | 0 | 0.073190 | No | Yes |
| Sky Cap | 0 | 0.072534 | No | Yes |
| Over-Mind | 0 | 0.071715 | No | Yes |
| Harvester | 0 | 0.071584 | No | Yes |
| Ninja | 0 | 0.071427 | No | Yes |
| Vectaur | 0 | 0.071297 | No | Yes |
| Parasite | 0 | 0.070652 | No | Yes |
| Spit Fire | 0 | 0.070560 | No | Yes |
| Mag Roader #2 | 0 | 0.069588 | No | Yes |
| Test Rider | 0 | 0.069105 | No | Yes |
| PlutoArmor | 0 | 0.068910 | No | Yes |
| Bomb | 0 | 0.068097 | No | Yes |
| Ghost | 0 | 0.068014 | No | Yes |
| Anguiform | 0 | 0.068003 | No | Yes |
| Sky Armor | 0 | 0.067638 | No | Yes |
| Chimera | 0 | 0.066827 | No | Yes |
| Orog | 0 | 0.065812 | No | Yes |
| Pm Stalker | 0 | 0.063962 | No | Yes |
| Guard | 0 | 0.062936 | No | Yes |
| Spectre | 0 | 0.062709 | No | Yes |
| HermitCrab | 0 | 0.062582 | No | Yes |
| ProtoArmor | 0 | 0.062444 | No | Yes |
| Mag Roader #3 | 0 | 0.061996 | No | Yes |
| Scorpion | 0 | 0.061475 | No | Yes |
| Cruller | 0 | 0.060974 | No | Yes |
| Osteosaur | 0 | 0.059527 | No | Yes |
| Hazer | 0 | 0.059419 | No | Yes |
| Wirey Drgn | 0 | 0.059264 | No | Yes |
| PowerDemon | 0 | 0.059185 | No | Yes |
| Were-Rat | 0 | 0.059065 | No | Yes |
| Bloompire | 0 | 0.059044 | No | Yes |
| Gobbler | 0 | 0.058531 | No | Yes |
| Zombone | 0 | 0.057317 | No | Yes |
| Enuo | 0 | 0.056991 | No | Yes |
| Latimeria | 0 | 0.056326 | No | Yes |
| Sand Horse | 0 | 0.056161 | No | Yes |
| Innoc | 0 | 0.055614 | No | Yes |
| Dark Side | 0 | 0.055513 | No | Yes |
| Woolly | 0 | 0.054749 | No | Yes |
| Covert | 0 | 0.054392 | No | Yes |
| Tap Dancer | 0 | 0.054212 | No | Yes |
| Wart Puck | 0 | 0.054150 | No | Yes |
| Figaliz | 0 | 0.051151 | No | Yes |
| Adamanchyt | 0 | 0.049496 | No | Yes |
| Toe Cutter | 0 | 0.049348 | No | Yes |
| Pan Dora | 0 | 0.048148 | No | Yes |
| Ogor | 0 | 0.047425 | No | Yes |
| Harpy | 0 | 0.046430 | No | Yes |
| Dante | 0 | 0.046291 | No | Yes |
| Rhinotaur | 0 | 0.045741 | No | Yes |
| Prussian | 0 | 0.045635 | No | Yes |
| Karkass | 0 | 0.045020 | No | Yes |
| Critic | 0 | 0.044856 | No | Yes |
| Repo Man | 0 | 0.044146 | No | Yes |
| Rain Man | 0 | 0.044016 | No | Yes |
| SoulDancer | 0 | 0.043891 | No | Yes |
| Barb-e | 0 | 0.042255 | No | Yes |
| Tusker | 0 | 0.042229 | No | Yes |
| Sea Flower | 0 | 0.042116 | No | Yes |
| Sand Ray | 0 | 0.041879 | No | Yes |
| Punisher | 0 | 0.041182 | No | Yes |
| Vaporite | 0 | 0.040921 | No | Yes |
| Suriander | 0 | 0.040680 | No | Yes |
| Misfit | 0 | 0.040589 | No | Yes |
| NeckHunter | 0 | 0.040583 | No | Yes |
| B.Day Suit | 0 | 0.040286 | No | Yes |
| Bleary | 0 | 0.040172 | No | Yes |
| Crawly | 0 | 0.039902 | No | Yes |
| Leafer | 0 | 0.039794 | No | Yes |
| GloomShell | 0 | 0.039641 | No | Yes |
| Areneid | 0 | 0.039485 | No | Yes |
| Hornet | 0 | 0.039323 | No | Yes |
| Fidor | 0 | 0.038872 | No | Yes |
| Vermin | 0 | 0.038824 | No | Yes |
| Merchant | 0 | 0.038788 | No | Yes |
| Slatter | 0 | 0.038727 | No | Yes |
| Dark Wind | 0 | 0.038556 | No | Yes |
| GreaseMonk | 0 | 0.038168 | No | Yes |
| Gold Bear | 0 | 0.037579 | No | Yes |
| Buffalax | 0 | 0.037375 | No | Yes |
| Rhodox | 0 | 0.037348 | No | Yes |
| Ursus | 0 | 0.037269 | No | Yes |
| Junk | 0 | 0.036831 | No | Yes |
| Exocite | 0 | 0.036805 | No | Yes |
| Balloon | 0 | 0.036685 | No | Yes |
| Luridan | 0 | 0.036630 | No | Yes |
| Nautiloid | 0 | 0.036600 | No | Yes |
| Apokryphos | 0 | 0.036367 | No | Yes |
| CrassHoppr | 0 | 0.035995 | No | Yes |
| Officer | 0 | 0.035746 | No | Yes |
| Lich | 0 | 0.035712 | No | Yes |
| Cluck | 0 | 0.035675 | No | Yes |
| Actaneon | 0 | 0.035647 | No | Yes |
| Wizard | 0 | 0.035519 | No | Yes |
| Vector Pup | 0 | 0.035478 | No | Yes |
| Trilium | 0 | 0.035296 | No | Yes |
| Stray Cat | 0 | 0.035245 | No | Yes |
| Ing | 0 | 0.035186 | No | Yes |
| Red Fang | 0 | 0.035175 | No | Yes |
| Deep Eye | 0 | 0.035053 | No | Yes |
| 1st Class | 0 | 0.035032 | No | Yes |
| Bogy | 0 | 0.035026 | No | Yes |
| Poplium | 0 | 0.034955 | No | Yes |
| Scrapper | 0 | 0.034948 | No | Yes |
| Beakor | 0 | 0.034876 | No | Yes |
| Coelecite | 0 | 0.034795 | No | Yes |
| Harpiai | 0 | 0.034790 | No | Yes |
| Over Grunk | 0 | 0.034785 | No | Yes |
| Eland | 0 | 0.034767 | No | Yes |
| Hipocampus | 0 | 0.034668 | No | Yes |
| Wild Rat | 0 | 0.034617 | No | Yes |
| Flan | 0 | 0.034463 | No | Yes |
| Brawler | 0 | 0.034407 | No | Yes |
| Commando | 0 | 0.034361 | No | Yes |
| Rhobite | 0 | 0.034350 | No | Yes |
| Primordite | 0 | 0.034315 | No | Yes |
| Pipsqueak | 0 | 0.034295 | No | Yes |
| Trooper | 0 | 0.034293 | No | Yes |
| Rinn | 0 | 0.034253 | No | Yes |
| Bug | 0 | 0.034186 | No | Yes |
| Vulture | 0 | 0.034129 | No | Yes |
| Commander | 0 | 0.034110 | No | Yes |
| Mind Candy | 0 | 0.034093 | No | Yes |
| Iron Fist | 0 | 0.033971 | No | Yes |
| Cirpius | 0 | 0.033947 | No | Yes |
| Joker | 0 | 0.033837 | No | Yes |
| Insecare | 0 | 0.033769 | No | Yes |
| Osprey | 0 | 0.033757 | No | Yes |
| Lizard | 0 | 0.033739 | No | Yes |
| Whisper | 0 | 0.033726 | No | Yes |
| Wyvern | 0 | 0.033643 | No | Yes |
| Bounty Man | 0 | 0.033454 | No | Yes |
| Apparite | 0 | 0.033447 | No | Yes |
| Ralph | 0 | 0.033380 | No | Yes |
| StillGoing | 0 | 0.033345 | No | Yes |
| Mag Roader #4 | 0 | 0.033289 | No | Yes |
| Slurm | 0 | 0.033252 | No | Yes |
| Gabbldegak | 0 | 0.033203 | No | Yes |
| Abolisher | 0 | 0.033131 | No | Yes |
| Trapper | 0 | 0.033092 | No | Yes |
| Garm | 0 | 0.033058 | No | Yes |
| Kiwok | 0 | 0.033018 | No | Yes |
| Sewer Rat | 0 | 0.033017 | No | Yes |
| Ceritops | 0 | 0.032941 | No | Yes |
| Mandrake | 0 | 0.032885 | No | Yes |
| Rhinox | 0 | 0.032847 | No | Yes |
| Cephaler | 0 | 0.032830 | No | Yes |
| Mesosaur | 0 | 0.032787 | No | Yes |
| Baskervor | 0 | 0.032756 | No | Yes |
| WeedFeeder | 0 | 0.032740 | No | Yes |
| General | 0 | 0.032627 | No | Yes |
| Lunaris | 0 | 0.032595 | No | Yes |
| Delta Bug | 0 | 0.032422 | No | Yes |
| Chitonid | 0 | 0.032390 | No | Yes |
| Mag Roader | 0 | 0.032380 | No | Yes |
| Poppers | 0 | 0.032245 | No | Yes |
| Nastidon | 0 | 0.032228 | No | Yes |
| Tomb Thumb | 0 | 0.032145 | No | Yes |
| Red Wolf | 0 | 0.032122 | No | Yes |
| Trilobiter | 0 | 0.032074 | No | Yes |
| Wild Cat | 0 | 0.032006 | No | Yes |
| SlamDancer | 0 | 0.031907 | No | Yes |
| Drop | 0 | 0.031773 | No | Yes |
| Humpty | 0 | 0.031675 | No | Yes |
| Gilomantis | 0 | 0.031628 | No | Yes |
| Anemone | 0 | 0.031534 | No | Yes |
| Psychot | 0 | 0.031447 | No | Yes |
| Muus | 0 | 0.031393 | No | Yes |
| Maliga | 0 | 0.031201 | No | Yes |
| Vindr | 0 | 0.030892 | No | Yes |
| Gigan Toad | 0 | 0.030774 | No | Yes |
| Exoray | 0 | 0.030213 | No | Yes |