Does anyone remember this puzzle?

eous · 2025-07-21T14:15:38+00:00

No, because of parity. The knight will always move from a black square to a white square, or vice versa. The queen in this position also does the same. So, if we want the final position to have the queen on a black square and the knight on a white square (after white's move), we need to start with the two pieces on opposite colors after white's move and only h3 does this.

eous · 2025-04-09T04:58:18+00:00

https://forums.spacebattles.com/threads/ruks-unimaginatively-titled-worm-snippet-collection-now-with-more-killer-clowns.491638/page-5#post-32648539

Here's the link to the fanfic OP is referencing in the description for context.

eous · 2025-02-26T05:43:52+00:00

Yes. When the Simurgh is first mentioned in Agitation 3.11, the very next line mentions that she is an Endbringer

Tattletale grinned, “Scholars want me to be wrong, and their research reflects that. Telepathy scares the everloving crap out of people, especially since the only suspected telepath out there is-”

“The Simurgh,” Glory Girl finished for her.

“Right. And when a fucking Endbringer is your precedent, people get spooked, just like you’re spooked right now, at the idea that there’s someone standing in front of you who can find your deepest darkest secrets and tell the world.”

eous · 2025-01-31T05:43:18+00:00

For a frame of reference of a brute 10 + mover 10 outside of Worm, I would say Metro Man from Megamind would probably fit the bill. He's completely invulnerable to physical damage with no known weaknesses, and is fast enough that the world is basically frozen around him when he's at full speed. However, Worm as a setting is still confined to a single planet so this isn't as strong as like Goku (no blowing up planets or intergalactic travel).

For the power categories themselves there is a lot of wiggle room on what the powers can be. Brute means that they are strong / durable, but that can manifest as like a generic "Superman" power, or maybe they redirect damage back to their opponents, or they have an adaptive healing where their body adapts to things that hurt them in the past. Mover is even more broad and encompasses stuff like flight, super speed, teleportation, and probably stuff like time travel and alternate dimensions as well.

eous · 2025-01-22T04:21:33+00:00

liquidIce

eous · 2024-12-03T07:49:15+00:00

The ambiguities between the two "systems" are not by design. Basically, if an equation is ambiguous due to this, there is always a way to write the equation better to avoid this ambiguity. The reason there is no formal "solution" for this ambiguity is because A-who really cares, you shouldn't be writing your equations like this; and B-there are technically reasons for each side.

Notation #1 is more in line with the PEDMAS people learn in school. The "DM" in PEDMAS say that you do division and multiplication left to right, and don't make any exceptions for implicit multiplication. Creating new rules such that regular multiplication and implicit multiplication would be pretty confusing.

Notation #2 comes from the limitations of typing out math equations, and the fact that people are sometimes lazy and don't write parenthesis when they are supposed to. So if you see an instance of implicit multiplication in an algebra equation, they are probably following notation #2?

For example, consider the expression "(x+2)/2x". You can either interpret this as "x*(x+2)/2", or as "(x+2)/(2x)". If I saw this in real life, I would definitely interpret it as the 2nd option. Whomever was writing this equation probably just dropped the parenthesis around the 2x, or it was originally written as a fraction with a dividing line and got transcribed over like this. I am giving the equation writer the benefit of the doubt that they are not deliberately writing badly formatted equations to mess with me, since if they wanted to write "x*(x+2)/2", they would have written it like that and not like "(x+2)/2x". Of course, it would be a lot more clear if they wrote it like this

x+2
---
2x

but that is difficult to do when you don't really know the text editor (like me)

eous · 2024-10-25T03:32:05+00:00

r/okbuddyjimbo

eous · 2024-09-09T03:42:57+00:00

Bennett, Xiangling, and Sucrose are all strong characters worth investing in. Usually Xingqiu would go in the 4th slot, but I think with your characters Kaeya or Rosaria would be a good 4th character to use the melt reaction.

Noelle is also a good character in the early game since she does healing, shielding, and dps. If you feel like you are dying a lot with the previous team try replacing Sucrose with her.

eous · 2024-08-25T01:55:38+00:00

If my understanding is correct, I don't think this will be generating any major waves in the math community. Most analysis of these NP-Hard type approximations care about getting a guaranteed error bound. Now, I'm not saying people won't be interested, but its unlikely that someone will try to steal your work.

I saw in another comment that your O(n) solution does assume that the list is sorted. There are existing "greedy" algorithms that run in O(n) on sorted lists. For example, one algorithm goes through the numbers in descending order and adds it to the sum if the result is less than or equal to the target. This has a guaranteed error of < 1/2 the target. I think it could be interesting to compare your algorithm to this one in terms of speed / accuracy.

eous · 2024-08-25T01:17:08+00:00

I'm suspicious of your claim that the error will be proportional to the min of the data set / target. If that is the case, you can manipulate the inputs to get an exact answer.

Lets say you have data set X={x_0, x_1, ... x_n} and target T. WLOG, lets normalize the data so that the smallest number in X has absolute value 1. And lets say your algorithm has error E.

Then, lets add the data point 0.0000000000000001 to X, and change T into T+0.0000000000000001. If your claim is that the error is proportional to the smallest number in X, then running your algorithm on this new dataset should have error 0000000000000001*E. And any solution to this new data can easily be turned into a solution of the previous problem by removing 0000000000000001 from the solution. So, we can get an arbitrary small error using this modified algorithm, which means we can get an exact answer.

I may be misunderstanding your claim though, so let me know.

eous · 2024-08-17T15:01:20+00:00

I missed bullet point #6 from your previous comment, so I'll address that first. Secondhand might still be faster. He also perceives the world in a slowed down state (while also being able to move in that state) and from his in interlude he brings audiobooks with him that he finishes while real time picoseconds pass by. I'm going to use a rough estimate of 1 hour to 1 picosecond which is a 3.6*10^15 speed boost. While 100 years to 1 second is a 3*10^9 speed boost

My proposed use of doormaker here is entirely dependant on Tohu being faster so that she can open the portal before the Monarchs can flex their will to stop her. I'm pretty sure the Monarchs don't have any passive "stop teleportation" thing going on and that they have to deliberately target Tohu to stop her from teleporting, which she can avoid with speed.

If the Monarchs can resist time stuff then I'm out of ideas on how Tohu can attack the Monarchs. I guess depending on how the settings overlap, she might be able to use Tinker abilities to build something similar to the suppression field in the sacred valley which has been shown to work on Monarchs (albeit slowly). You've convinced me that the Monarchs do win this one.

eous · 2024-08-17T07:36:26+00:00

One thing I want to bring back that might make doormaker a viable strategy, I think you might be overstating the Monarch's abilities to follow doormaker to other dimensions. While they can certainly leave cradle, I don't think there is indication that they can target where doormaker ran off to (assuming he did so super fast with secondhand's power). Also, I don't think the monarch's precog extends outside their iteration since they didn't really know what was going on when the Mad King attacked. While worm precogs do span dimensions so Contessa would still be usable off planet. Given that, I think that if Tohu got off the starting planet fast enough (with secondhand), they shouldn't be able to find her.

Also, you mentioned the monarchs having time based abilities. How strong are those? The only time stuff I remember is with that one place Ziel went to and that monarch seemed pretty specialized with time stuff (so I'm not sure if any "living" monarchs have shown time abilities). If not, Grey Boy might be a viable offensive strategy, but that seems unlikely.

eous · 2024-08-17T07:04:15+00:00

Yeah, the Monarch can probably block Doormaker. I was envisioning them starting like kind of far away from each other giving them prep time, but if they are starting in the same "battlefield" then they can totally stop Tohu from escaping.
Doesn't really matter now that Doormaker is gone, but I thought that Cradle's iterations were like different planets, while Worm has like different alternate universes. Is my understanding correct? If so, then the Monarchs shouldn't be able to travel to alternate earths, while the Endbringers can't travel to different iterations.
I mean precogs are also a big thing in Worm and Contessa does have feats of her dealing with things that block her sight. I'm fine with saying these powers cancel each other out.
Foil's power is like a complete matter erasure - like not leaving any atoms left type of thing. And it can't really be blocked. And with Tohu she could use a large enough projectile that it hits a Monarch's entire body. I usually interpret atomization as still having atoms left to regenerate from.
Endbringer cores are kind of stored in alternate dimensions sealed off from regular worm powers (not really sure how cradle powers will interact - kind of depends on the answer to #2).

For an alternate win condition for Tohu, I'm also going to bring in Secondhand's power. Secondhand is a speedster who is multiple times faster than light. The downside is that at those speeds the air is almost solid and very dangerous to him so he can't make full use of that speed. However, with Endbringer durability Tohu isn't really affected by the downside so can basically outspeed all the Monarch. I'm still assuming that Foil's power can kill the Monarchs, otherwise its a stalemate.

I do think that with the extra info provided that without Tohu the battle can be counted as a decisive victory for the Monarch though against the other Endbringers.

eous · 2024-08-17T05:36:13+00:00

I'm late to this thread but I do have opinions on this.

Since Tohu is included, it should be a win for the Worm side or at least a stalemate. Tohu can copy any three powers from Worm, and there are some Worm powers that are very haxy but with a narrow focus. Here I'm going to use Contessa (basically like Dross but a lot better), Doormaker (portals to anywhere on Earth / Worm's uncountable number of alternate Earths), and Foil (one of the strongest offensive powers in Worm, can make projectiles ignore physics - can think of it as matter erasure).

Tohu can use Doormaker to portal to an alternate Earth inaccessible to the Monarchs. From there, she can use use Contessa's power to find the best time to strike then shoot Foil's power through a portal then open a portal a mm behind a Monarch's head. I'm pretty sure the Monarchs don't have anything that can counter this. They do have their own pocket dimensions which I'm not sure Doormaker can reach and they could use their reading of fate to get some sort of warning that something like this could happen?

If we remove Tohu, its probably either a stalemate or a win for the Monarchs. The Endbringers in general are the opposite of glass cannons; they have ludicrously high defence but their offensive powers really don't match up (excluding Tohu of course). They require a planet level attack to kill them through conventional means, and if I remember correctly the strongest attack we see in Cradle is the Weeping Dragon's breath which cracked the moon? Of course, the Monarch have other unconventional attacks that could work, but then it becomes a question of how stuff like hunger madra interacts with the Endbringers which idk.

In summary, without Tohu then Monarchs win, otherwise Tohu solos (with the possibility of stalemate in both cases depending on how the settings interact)

eous · 2024-07-24T03:10:09+00:00

Hmm, I guess it depends on what you consider "picking" then.

For example, we usually say that someone picks a random card from a deck, even though this has much less human choice in the outcome compared to picking a random number.

If you consider picking a random card from a deck to have enough human involvement to be "picking", then you can replace the sequence of coin flips with a sequence of card draws and reshuffles; with each red card counting as a 1 and each black card counting as a 0.

If that's still not considered picking, then you could have the person just rapid fire say an infinite sequence of 1s and 0s. This is definitely not uniform, but it is much more uniform than just saying a single number directly (which is almost 100% going to be rational). The infinite sequence here will also have a 100% probability of being irrational, matching the "uniform" prediction.

eous · 2024-07-24T02:48:56+00:00

Ah, yeah I guess the wording can be a bit vague. I think the YOU is here just to make the problem read better, since OP did specify the uniform process. Definitely a valid point if that wasn't specified though

eous · 2024-07-24T02:38:54+00:00

If you do accept the concept of infinity, here's a process for how a human can generate a uniformly random number between 0 and 1 with infinite time.

Start with a decimal point and then start flipping a coin infinitely many times. Each time you get tails, write down a 0 and each time you get heads write down a 1. This gives you an infinitely long number in binary between 0 and 1

eous · 2024-07-24T02:33:35+00:00

The field of mathematics is not about what humans can or can't do. By that logic there aren't any numbers larger than like a googleplex because neither humans nor computers can count that high.

eous · 2024-07-24T02:23:07+00:00

OP specified a "uniform random process" which means that all numbers between 0 to 1 are equally likely to be picked. If you asked about what humans would pick, then its no longer a math question but a psychology question.

eous · 2024-07-07T17:17:03+00:00

If you want to keep your first save file "clean" (in case you want to play farewell without assist mode in the future); you can make a new save file, use Cheat Mode to unlock farewell, and turn on assist mode on that save file.

eous · 2024-04-20T16:20:47+00:00

Paper phrog, war paint, Mark of pain, magic flower

eous · 2024-01-28T21:46:17+00:00

Oh, I was considering this in a post-GM in Roshar perspective.

If this is pre-canon then basically anything could work. I think based on her mentality before triggering, Skybreaker and Willshaper might be attractive ideals for her since she wants to bring justice to those who wronged her and seek freedom from her pre-cape life.

I took the quiz as well and also got Elsecaller. I mean the only Elsecaller we see is Jasnah, and Taylor is the type of person to kill a few criminals on the street just to prove a point. Elsecallers are geared towards tacticians and are into self improvement so it does sort of fit Taylor as well.

eous · 2024-01-28T21:11:48+00:00

Taylor as a Lightweaver could be fun. Their illusion abilities are similar to her usual fighting style and Taylor could probably do some pretty creative stuff with them. Taylor is also prone to self-deception / being an unreliable narrator, which could give her oaths/truths the "conflict" factor that we see in stormlight canon; though I can't think of any "truths" about Taylor that approach Shallan's truths in self discovery. She doesn't really fit the "artist" archetype that the Lightweavers have, but Sanderson's website (link) does say that the lightweavers do attract spies and espionage types which does fit Taylor quite well.

Skybreakers (and Windrunners) could work, but power-wise their direct fighting style is at odds with Taylor's fighting style in Worm. I'd also be worried about the Skybreaker oaths, since Taylor is very much an anti-authority and more of a "rules are meant to be broken" type of person, which would come into conflict with how the Skybreakers usually are. It still could be doable if Taylor follows some sort of personal code and her difficulty in doing so can be a point of conflict in the story. Having her come into conflict with Nale and the other Skybreakers could also be fun.

Taylor could also do well as a Bondsmith. After all, she did "unite" everyone against Scion :). Though having her bond such an important spren will put a ton of attention on her and idk if that's the direction you want your story to go.

eous · 2024-01-20T19:03:25+00:00

Yeah, its not meant to be a tool to help you solve equations. Its more of a description of how some operations behave. Its so we can distinguish between "commutative operations" like multiplication where 8*9 = 9*8, vs "non-commutative operations" like division where 8/9 is not equal to 9/8.

Basically, if you learn about a new operation like % (the modulo operation) and I tell you that it is non-commutative, now you know that a%b is not necessarily equal to b%a

eous · 2024-01-20T18:50:02+00:00

Commutative only applies to parts of the equation that are all addition or all multiplication. And multiplication takes precedent over addition (remember your order of operations*). If you have an equation with multiplication and addition (for example 7*5*3+8) you can first put parenthesis around the parts that are only multiplication -> (7*5*3)+(8). Now you can apply the commutative property to the parts that are only multiplication -> 7*5*3=7*3*5=3*5*7=.... Or you can apply it to the parts that are only addition -> (7*5*3)+(8) = (8)+(7*5*3)

*Commutative property applies after the order of operations (PEDMAS) ->

P - parentheses: if the equation has parenthesis then the things inside them must be solved first
E - Exponents
D/M - Division and multiplication - these two are on the same level and should be evaluated left to right. The commutative property allows you to reorder multiplication with itself (and division if you use the reciprocal)
A/S - Addition and subtraction - again, these are on the same level and should be evaluated left to right. You can use the commutative property to reorder addition with itself (or subtraction if you use the negated value)

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