## dnd 5e – What is the highest minimum and maximum roll possible on a Dexterity (Sleight of Hand) check?

Being attuned to and having an Ioun Stone of Mastery float around your head will increase your proficiency bonus by +1, which will total to +2 because of Expertise.

You also aren’t capped at 20 in an ability score, A Manual of Quickness of Action, the Star card from a Deck of Many Things, and The Book of Vile Darkness allow you to boost Dexterity by 2 and can exceed 20. Now as such you can get Dex to 30 which is a +10 modifier compared to a 20 Dex giving +5 but you’ll need to be one hell of a thief to steal that many of these items.

Lastly the boons on DMG 232. The Boon of Luck allows you to add 1d10 to an ability check, attack roll, or saving throw once per long rest. And if someone else has the Boon of Fate they can add 1d10 to your ability check aswell

Since the OP asked for things that may increase the total my numbers are all in addition to the numbers he came up with. So a list of effects I have suggested to increase the ability check result:

Ioun Stone of Mastery: Adds +2

Boon of Luck: Adds +1 to +10

Boon of Fate: Adds +1 to +10 but since this is an ability someone else must have my final answer has two sets of numbers since this isn’t something this character would be able to do by themselves.

So adding these numbers to OP’s numbers results in a minimum modifier (on their own) of +37 with a maximum modifier (on their own) of +64. Once more should you have a companion with the Boon of Fate they can increase the minimum modifier to +38 and the maximum modifier of +74. Factoring in the roll of a 20 on a d20 this results in a final maximum ability check of 84 or 94

Hopefully this is the last edit I make, but I would like to add my answer only covers bonuses from the PHB and DMG so if one of the published campaigns contains a magic item that can boost it further then I do not know about it. I can however mention that the character is attuned to a Stone of Good Luck, and an Ioun Stone of Mastery so this character is able to attune to one more item if one exists (Gloves of Thievery don’t require attunement).

## How to determine the maximum memory card size that an Olympus E500 is compatible with?

I have an E500 with some 1 GB XD cards. It also takes CompactFlash. I can’t find any information about what the max limit on card size is.

I also looked through the entire review here: https://www.dpreview.com/reviews/olympuse500

That review does mention using a 4GB card at one point, but nothing says that this is a maximum.

Now, on an Olympus website it says the following:

What size CompactFlash cards can the EVOLT E-500 accept, and does it support the benefits of Write Acceleration cards?

The EVOLT E-500 accepts CompactFlash cards up to 8 GB in capacity
and supports Write Acceleration CompactFlash cards. When the camera
polls the card at power up, if it detects Write Acceleration
technology, it enables its own Write Acceleration firmware.

This initially sounded authoritative… but web searches turn up claims of people using much larger cards, maybe even up to 128 GB (!?)

• I have used a 16gb card in mine, no problems

• Any Cf over 8 gig will work however the camere will not recognize the extra storage room. In other words with a 128gig card you will
only get the same numbers of photos as you would get with an 8 gig cf

• With a 16 gig card the camera will only estimate space for the same number of photos on the card.. it will however continue to save shots
even after the counter nears zero.

Is there any way to determine this with good confidence? I realize it is an older camera and it sounds like it wasn’t designed for modern card sizes (no surprise) but nonetheless they may work.

## 8 – How do I modify the email maximum length to 320 characters?

You can using hook_element_info_alter.

mymodule.module

``````/*
* Implements hook_element_info_alter().
*/
function mymodule_element_info_alter(array &\$info) {
if (!empty(\$info('email'))) {
\$info('email')('#maxlength') = 320;
}
}
``````

Flush all caches so hook gets pickedup.

## graphs – Polynomial-time algorithm to solve the maximum vertex bipartite subgraph problem

I’m trying to find an algorithm that solves the maximum vertex biclique problem. I know that that algorithm can be solved in polynomial time (in contrast with the maximum edge biclique problem, which is NP-hard), and it’s related somehow to transform the problem to a network flow problem, but I’m having a hard time finding it because most of the results from google are about NP-hard problems with similar wordings like maximum edge biclique problem, maximum vertex coverage and such.

Could anyone provide a link, explanation or even a pseudocode algorithm about how to solve the maximum vertex biclique problem in polynomial time?

## On Tarjan’s paper “Finding a Maximum Clique”

In his paper, “Finding a Maximum Clique” from 1972 Robert Tarjan introduced an algorithm that finds maximum cliques in $$O(1.286^n)$$. You can find a link to his paper here.

In the second page of the introduction he states the following lemma.

Let $$(V,G)$$ be a graph and $$S subseteq V.$$ Then
$$||G|| = max_{text{clique } C text{ in } G_S} {|C| + ||G_{A(C)setminus S}||}$$

where $$||G||$$ is the size of the maximum clique in $$G$$ and $$A(C)$$ is the set of adjacent vertices to one or more elements in $$C$$.

This does not make sense to me, for example if we let $$S$$ be the set containing just one isolated vertex, then $$max_{text{clique } C text{ in } G_S} {|C| + ||G_{A(C)setminus S}||} = 1$$, since $$A(C) setminus S = emptyset setminus S = emptyset$$.

Even worse, we can take $$S = emptyset$$ and then the lemma falls apart.

What am I missing?

## Is there a maximum number of people who can simultaneously view a public Google Sheet?

I want to publicly share a link to a Google Sheet for viewing only (not editing). Is there a maximum number of people who will be able to view the sheet simultaneously?

Does Google even know how many are viewing it simultaneously? Assume 200 people go to the link and the
sheet is downloaded to each person’s browser. At that instant, does Google even know that 200 are currently viewing it. Or can 200 more people then go to the link and also retrieve and view the sheet?

## dnd 5e – What is the highest minimum and maximum roll possible on a (Dex) sleight of hand/pickpocket check?

Being attuned to and having an Ioun Stone of Mastery float around your head will increase your proficiency bonus by +1, which will total to +2 because of Expertise.

You also aren’t capped at 20 in an ability score, A Manual of Quickness of Action, the Star card from a Deck of Many Things, and The Book of Vile Darkness allow you to boost Dexterity by 2 and can exceed 20. Now as such you can get Dex to 30 which is a +10 modifier compared to a 20 Dex giving +5 but you’ll need to be one hell of a thief to steal that many of these items.

Lastly the boons on DMG 232. The Boon of Luck allows you to add 1d10 to an ability check, attack roll, or saving throw once per long rest. And if someone else has the Boon of Fate they can add 1d10 to your ability check aswell

Since the OP asked for things that may increase the total my numbers are all in addition to the numbers he came up with. So a list of effects I have suggested to increase the ability check result:

Ioun Stone of Mastery: Adds +2

Boon of Luck: Adds +1 to +10

Boon of Fate: Adds +1 to +10 but since this is an ability someone else must have my final answer has two sets of numbers since this isn’t something this character would be able to do by themselves.

So adding these numbers to OP’s numbers results in a minimum modifier (on their own) of +37 with a maximum modifier (on their own) of +64. Once more should you have a companion with the Boon of Fate they can increase the minimum modifier to +38 and the maximum modifier of +74. Factoring in the roll of a 20 on a d20 this results in a final maximum ability check of 84 or 94

Hopefully this is the last edit I make, but I would like to add my answer only covers bonuses from the PHB and DMG so if one of the published campaigns contains a magic item that can boost it further then I do not know about it. I can however mention that the character is attuned to a Stone of Good Luck, and an Ioun Stone of Mastery so this character is able to attune to one more item if one exists (Gloves of Thievery don’t require attunement).

## Determine maximum hard drive I can use in my computer (Ubuntu Server)

Is there a command I can run to see the maximum disk I can connect to my computer? I have an old (5 years) computer I use as a server. So far it has two small hard drives and an external 3tb drive connected via USB. I’m looking to attach an internal drive, maybe 6TB. But first, I would like to know if it will work. Not sure what the steps are to determine this.

## maximum spanning tree in a complete graph

Given a complete graph how do I find weight maximum spanning tree.
where $$w(u, v) = sum_{i=1}^{k} |w_{i,u} – w_{i,v}|$$

assuming $$k lt 7$$ and $$n le 500000$$.

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