A new ki idea for increasing monk damage 5th edition

Is this idea for a Ki option for a monk starting at 2nd level balanced? Based on playing experience, are there any foreseeable problems with it?

Iron Palm

Immediately before you take the attack action on your turn, you can spend 1 ki point to increase your unarmed strike damage dice to the next rank. This lasts until the end of your turn, and does not effect hand held weapons or other monk weapons only the unarmed strikes.

Does increasing the dice pool make messy criticals more likely?

I just read the mechanics for dice rolling in Vampire: the Masquerade 5th edition and something is bothering me. It seems to me that the larger your dicepool is, the more likely it is to get a messy critical.

Just in case somebody wants to answer without knowing the rules, here is a very brief rundown:

A character rolls a number of d10s called a dicepool. For the vast majority of rolls, at least one of those dice would be a hunger die. Let’s just assume it’s a single one for simplicity. If at least two dice come up as 10s, that’s considered a critical. If at least one of those 10s is on a hunger die, then it’s a messy critical where the character succeeds spectacularly but in the most direct and brutal way possible. Picking a lock with a messy critical can lead to the character ripping the door off the hinges – grants passage but it’s not subtle.

These are the relevant rules here. It seems to me that the larger the dicepool is, the more of a chance for a messy critical. My intuition is the following:

  • with a dicepool of 3, if the hunger die comes up at 10, then you have 2 chances to roll a 10 on the other dice.
  • with a dicepool of 7, if the hunger die comes up at 10, then you have 6 chances to roll a 10 on the other dice.

Is my intuition here correct? Is a master at picking locks would be more likely to let the Beast do his job than somebody who’s just average at locks? I am not sure how to properly calculate the odds of messy criticals.

How could a key could be inserted in a heap without increasing the size of an array?

MAX-HEAP-INSERT(A, key)     A.heap-size = A.heap-size + 1     A[A.heap-size] = -infinity     HEAP-INCREASE-KEY(A,A.heap-size,key) 

How could a key could be inserted in a heap without increasing the size of an array? With this code from Introduction To Algorithms, you can’t just randomly increase the heap size upon wish. Did I miss something? All all online lectures I have seen do no talk about this issue. Neither does the book touch this issue. Or is it that the lowest key in an array would be dropped automatically?

What’s the historical interaction between the Wish spell and increasing ability scores?

I vaguely recall Wishes in 1e affecting ability score increases going something like this:

  • a single Wish spell could increase any ability score to 16
  • you needed another Wish spell to get to 18
  • then it was one Wish spell per point over that (with like 5 Wishes needed to get to 18/00 STR)

But now, looking through the 1e DMG, I can’t find any of this. Ideally, I’d like information on how a Wish spell would interact with ability score increases for each edition of D&D.

What’s the historical interaction between the Wish spell and increasing ability scores?

How does increasing in size affect adjacent squares and enemies?

Inspired by this question and effectively asking the opposite question. Assuming play is on a grid, what squares can a creature occupy when it goes from being medium size (1×1) to large size (2×2)? Does the square it already occupied when it was medium need to be included in its new form? What are the options for the three additional squares, can they simply be any that would make the creature 2×2? How does increasing in size interact with the “Moving Around Other Creatures” rule which states:

Whether a creature is a friend or an enemy, you can’t willingly end your move in its space.

So if there were a creature in one direction would you not be able to include its current space in your new form/size? What if you were surrounded by creatures, could you increase in size at all?

Some hopefully helpful diagrams: You are C, monsters are X, empty spaces are #.

Can

###   #C#   ###    

change into:

CC#   CC#   ###   

or

#CC   #CC   ###   

What can

XXX   #C#   ###   

change into?

What can happen from this last scenario:

XXX   XCX   XXX 

Note: I am looking for an answer that is rooted in RAW, but if no answer exists there an answer from experience with this issue would also work.

Examples of why this might matter:. If you end up occupying the same space as an enemy then a spell like fireball would no longer be able to target you.
If you push the creatures out of the way this could do things such as pushing then into a moonbeam spell.
If you are not allowed to occupy the same space as the monsters then I am confused what would happen if you were initially surrounded.

What squares can you occupy when your size increases, and do other nearby creatures impact this?

Finding largest farthest increasing pairs in array?

Is there a simple linear algorithm for finding in an array A two such elements that $ A[i] > A[j]$ and $ i – j$ is as large as possible? If one wants to actually return the indices, then linear memory usage seems impossible to avoid. If the only result needed is the value $ i – j$ , i.e. the distance, can we get away with less than linear memory?

Obviously, one can use constant memory if one is willing to loop over all pairs (i, j).

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How does Wild Shape interact with stat increasing items?

I got two sub questions for particular magic items. The first are tomes and manuals which I supposed, are ‘consumed’. Does a druid who just wild shaped can benefit from it (i.e. Dex, Con, Str)?

Second is, for the item like Ioun Stone of Mastery, how would you identify what stat a creature is proficient with to benefit from the item?

Thanks.

Increasing point size in 3D + color plot

I have a “4D” plot (3D + color) that I want to increase the point size of the points. Seems easy enough right? Just use the following is what I thought:

PlotStyle -> PointSize[0.01] 

However, whenever I add this to my code, it makes all the color from my “4th” dimension go away and just turns into one uniform color. How do I get past this?

Also! I’ve had people help me here on Stack Exchange to get to the code I am posting so a lot of credit goes to them for the 3d + color plot. 🙂

Here is my code and a picture of the plot that I want the point sizes to be increased.

enter image description here

normdSi =    Table[(p - Min[Sidata1[[All, 2]]])/(Max[Sidata1[[All, 2]]] -        Min[Sidata1[[All, 2]]]), {p, Sidata1[[All, 2]]}]; colorsSi = Table[ColorData["BlueGreenYellow"][d], {d, normdSi}]; Si4dplot =   ListPointPlot3D[{#[[3 ;; 5]]} & /@ Sidata1, PlotStyle -> colorsSi,    AxesLabel -> {"q", "\!\(\*SuperscriptBox[\(s\), \(2\)]\)",      "\[Alpha]"}, ImageSize -> Full, LabelStyle -> {18},    ViewPoint -> {-2, -.7, 0}, PlotLabel -> Style["Si", 24]] 

Here is my data:

{{0, 0.00586554, 1.85613, 4.76551*10^-28, 5.26926}, {1, 0.00586038,    1.85857, 0.00496208, 5.26553}, {2, 0.00583292, 1.86694, 0.00737286,    5.28264}, {3, 0.00578611, 1.88105, 0.00995626, 5.31438}, {4,    0.00572788, 1.90041, 0.0195179, 5.34518}, {5, 0.0056491, 1.92576,    0.026371, 5.3971}, {6, 0.00555664, 1.95654, 0.0357567, 5.4579}, {7,    0.005454, 1.99256, 0.0488175, 5.52469}, {8, 0.00533414, 2.03443,    0.0587529, 5.61315}, {9, 0.00520924, 2.08121, 0.0728039,    5.70511}, {10, 0.00507624, 2.13333, 0.0868532, 5.80991}, {11,    0.00493048, 2.19114, 0.0969574, 5.937}, {12, 0.00479085, 2.25265,    0.111276, 6.06199}, {13, 0.00464483, 2.31891, 0.12169,    6.20612}, {14, 0.00449348, 2.3895, 0.12767, 6.36945}, {15,    0.00435635, 2.46022, 0.134399, 6.52873}, {16, 0.00421573, 2.53408,    0.13467, 6.70861}, {17, 0.00408066, 2.60798, 0.130038,    6.89764}, {18, 0.003962, 2.67731, 0.122165, 7.08088}, {19,    0.0038446, 2.74659, 0.107359, 7.27855}, {20, 0.0037445, 2.80767,    0.0891022, 7.46372}, {21, 0.00366125, 2.85969, 0.0685708,    7.63264}, {22, 0.00358362, 2.90781, 0.0439095, 7.80201}, {23,    0.00353606, 2.93743, 0.0254055, 7.91445}, {24, 0.00350441, 2.9569,    0.0112019, 7.99332}, {25, 0.00348267, 2.96992, 4.2709*10^-28,    8.05004}, {26, 0.00350619, 2.95655, 0.0140871, 7.98594}, {27,    0.00354397, 2.9359, 0.0380519, 7.88204}, {28, 0.0036054, 2.90368,    0.077481, 7.71557}, {29, 0.00371579, 2.84915, 0.145356,    7.43302}, {30, 0.00384706, 2.78696, 0.22453, 7.10949}, {31,    0.00402225, 2.70695, 0.319264, 6.71886}, {32, 0.00425262, 2.60492,    0.42526, 6.26836}, {33, 0.00451347, 2.4927, 0.533519, 5.80028}, {34,    0.00484984, 2.35888, 0.635259, 5.31261}, {35, 0.0052487, 2.21331,    0.726175, 4.82797}, {36, 0.00569123, 2.06324, 0.807586,    4.35526}, {37, 0.00625698, 1.90488, 0.858761, 3.92207}, {38,    0.00689091, 1.74683, 0.894649, 3.51698}, {39, 0.00759815, 1.59081,    0.915479, 3.14207}, {40, 0.00847396, 1.44051, 0.907596,    2.82513}, {41, 0.00943069, 1.29475, 0.890287, 2.53427}, {42,    0.0105185, 1.15519, 0.860229, 2.27889}, {43, 0.0117991, 1.02388,    0.81632, 2.06547}, {44, 0.0131859, 0.897942, 0.767916,    1.87227}, {45, 0.0147797, 0.780792, 0.713042, 1.70999}, {46,    0.0165753, 0.670983, 0.65441, 1.57258}, {47, 0.0184995, 0.565447,    0.594737, 1.44957}, {48, 0.0207039, 0.467657, 0.533712,    1.35086}, {49, 0.0230828, 0.374668, 0.47279, 1.26641}, {50,    0.025591, 0.285255, 0.412327, 1.1928}, {51, 0.0283735, 0.201725,    0.353629, 1.13931}, {52, 0.0312372, 0.119185, 0.295722,    1.09523}, {53, 0.0341712, 0.0377658, 0.238978, 1.06272}, {54,    0.0370919, -0.0411159, 0.184837, 1.04753}, {55, 0.03991, -0.118284,    0.132156, 1.04359}, {56, 0.0424219, -0.189196, 0.0842067,    1.05721}, {57, 0.0443678, -0.245829, 0.0451427, 1.09405}, {58,    0.0458307, -0.287877, 0.0134487, 1.15053}, {59,    0.0461722, -0.273939, 0.00724523, 1.25192}, {60, 0.04547, -0.189799,    0.029489, 1.40789}, {61, 0.0439536, -0.040825, 0.0760268,    1.61787}, {62, 0.0410509, 0.287135, 0.188407, 1.98092}, {63,    0.0374884, 0.737128, 0.339519, 2.48104}, {64, 0.0334165, 1.32035,    0.529929, 3.15253}, {65, 0.0292259, 2.16715, 0.792678,    4.24807}, {66, 0.0249774, 3.20952, 1.09423, 5.70677}, {67,    0.0209618, 4.54328, 1.4547, 7.76466}, {68, 0.0175535, 6.37734,    1.90226, 10.9599}, {69, 0.0142979, 8.71509, 2.3962, 15.3082}, {70,    0.0116484, 11.9196, 2.96614, 21.8363}, {71, 0.00952234, 16.4455,    3.46263, 31.8198}, {72, 0.00756156, 22.4422, 3.69173, 45.7099}, {73,    0.00637376, 29.2974, 3.10612, 62.8753}, {74, 0.00557852, 35.9338,    1.7877, 80.5131}, {75, 0.0050232, 41.7985, 8.59236*10^-27,    96.93}, {76, 0.00564134, 35.4285, 2.17511, 78.8748}, {77,    0.00664996, 27.396, 4.4568, 56.9122}, {78, 0.00830127, 18.7827,    5.93387, 34.9235}, {79, 0.0112518, 12.1619, 5.34133, 20.6996}, {80,    0.0147477, 7.27342, 4.38667, 11.0649}, {81, 0.0192714, 4.31069,    3.28923, 6.07815}, {82, 0.0249166, 2.64861, 2.36017, 3.78892}, {83,    0.0310646, 1.44104, 1.61259, 2.25868}, {84, 0.038089, 0.763281,    1.11354, 1.51843}, {85, 0.0455155, 0.323334, 0.756884,    1.08172}, {86, 0.0530392, -0.00833097, 0.480004, 0.764547}, {87,    0.0602388, -0.191606, 0.314908, 0.599}, {88, 0.0669456, -0.322307,    0.19112, 0.476188}, {89, 0.0729913, -0.407595, 0.101166,    0.385506}, {90, 0.0773187, -0.422702, 0.0563086, 0.338125}, {91,    0.0808823, -0.415833, 0.0252911, 0.301559}, {92,    0.0833385, -0.387366, 0.00888385, 0.276938}, {93,    0.0845245, -0.347873, 0.00355736, 0.262038}, {94,    0.085323, -0.310296, 0.000716217, 0.249179}, {95,    0.0854916, -0.278922, 0.00021299, 0.239806}, {96,    0.0853257, -0.253975, 0.000358958, 0.232963}, {97,    0.0851545, -0.232974, 0.000267074, 0.227071}, {98,    0.0848481, -0.218693, 0.000354803, 0.223956}, {99,    0.084646, -0.209427, 0.000303089, 0.222006}, {100,    0.0846189, -0.204535, 3.2539*10^-31, 0.220639}, {101,    0.084646, -0.209427, 0.000303089, 0.222006}, {102,    0.0848481, -0.218693, 0.000354803, 0.223956}, {103,    0.0851545, -0.232974, 0.000267074, 0.227071}, {104,    0.0853257, -0.253975, 0.000358958, 0.232963}, {105,    0.0854916, -0.278922, 0.00021299, 0.239806}, {106,    0.085323, -0.310296, 0.000716217, 0.249179}, {107,    0.0845245, -0.347873, 0.00355736, 0.262038}, {108,    0.0833385, -0.387366, 0.00888385, 0.276938}, {109,    0.0808823, -0.415833, 0.0252911, 0.301559}, {110,    0.0773187, -0.422702, 0.0563086, 0.338125}, {111,    0.0729913, -0.407595, 0.101166, 0.385506}, {112,    0.0669456, -0.322307, 0.19112, 0.476188}, {113,    0.0602388, -0.191606, 0.314908, 0.599}, {114,    0.0530392, -0.00833097, 0.480004, 0.764547}, {115, 0.0455155,    0.323334, 0.756884, 1.08172}, {116, 0.038089, 0.763281, 1.11354,    1.51843}, {117, 0.0310646, 1.44104, 1.61259, 2.25868}, {118,    0.0249166, 2.64861, 2.36017, 3.78892}, {119, 0.0192714, 4.31069,    3.28923, 6.07815}, {120, 0.0147477, 7.27342, 4.38667,    11.0649}, {121, 0.0112518, 12.1619, 5.34133, 20.6996}, {122,    0.00830127, 18.7827, 5.93387, 34.9235}, {123, 0.00664996, 27.396,    4.4568, 56.9122}, {124, 0.00564134, 35.4285, 2.17511,    78.8748}, {125, 0.0050232, 41.7985, 5.2584*10^-27, 96.93}, {126,    0.00557852, 35.9338, 1.7877, 80.5131}, {127, 0.00637376, 29.2974,    3.10612, 62.8753}, {128, 0.00756156, 22.4422, 3.69173,    45.7099}, {129, 0.00952234, 16.4455, 3.46263, 31.8198}, {130,    0.0116484, 11.9196, 2.96614, 21.8363}, {131, 0.0142979, 8.71509,    2.3962, 15.3082}, {132, 0.0175535, 6.37734, 1.90226, 10.9599}, {133,    0.0209618, 4.54328, 1.4547, 7.76466}, {134, 0.0249774, 3.20952,    1.09423, 5.70677}, {135, 0.0292259, 2.16715, 0.792678,    4.24807}, {136, 0.0334165, 1.32035, 0.529929, 3.15253}, {137,    0.0374884, 0.737128, 0.339519, 2.48104}, {138, 0.0410509, 0.287135,    0.188407, 1.98092}, {139, 0.0439536, -0.040825, 0.0760268,    1.61787}, {140, 0.04547, -0.189799, 0.029489, 1.40789}, {141,    0.0461722, -0.273939, 0.00724523, 1.25192}, {142,    0.0458307, -0.287877, 0.0134487, 1.15053}, {143,    0.0443678, -0.245829, 0.0451427, 1.09405}, {144,    0.0424219, -0.189196, 0.0842067, 1.05721}, {145, 0.03991, -0.118284,    0.132156, 1.04359}, {146, 0.0370919, -0.0411159, 0.184837,    1.04753}, {147, 0.0341712, 0.0377658, 0.238978, 1.06272}, {148,    0.0312372, 0.119185, 0.295722, 1.09523}, {149, 0.0283735, 0.201725,    0.353629, 1.13931}, {150, 0.025591, 0.285255, 0.412327,    1.1928}, {151, 0.0230828, 0.374668, 0.47279, 1.26641}, {152,    0.0207039, 0.467657, 0.533712, 1.35086}, {153, 0.0184995, 0.565447,    0.594737, 1.44957}, {154, 0.0165753, 0.670983, 0.65441,    1.57258}, {155, 0.0147797, 0.780792, 0.713042, 1.70999}, {156,    0.0131859, 0.897942, 0.767916, 1.87227}, {157, 0.0117991, 1.02388,    0.81632, 2.06547}, {158, 0.0105185, 1.15519, 0.860229,    2.27889}, {159, 0.00943069, 1.29475, 0.890287, 2.53427}, {160,    0.00847396, 1.44051, 0.907596, 2.82513}, {161, 0.00759815, 1.59081,    0.915479, 3.14207}, {162, 0.00689091, 1.74683, 0.894649,    3.51698}, {163, 0.00625698, 1.90488, 0.858761, 3.92207}, {164,    0.00569123, 2.06324, 0.807586, 4.35526}, {165, 0.0052487, 2.21331,    0.726175, 4.82797}, {166, 0.00484984, 2.35888, 0.635259,    5.31261}, {167, 0.00451347, 2.4927, 0.533519, 5.80028}, {168,    0.00425262, 2.60492, 0.42526, 6.26836}, {169, 0.00402225, 2.70695,    0.319264, 6.71886}, {170, 0.00384706, 2.78696, 0.22453,    7.10949}, {171, 0.00371579, 2.84915, 0.145356, 7.43302}, {172,    0.0036054, 2.90368, 0.077481, 7.71557}, {173, 0.00354397, 2.9359,    0.0380519, 7.88204}, {174, 0.00350619, 2.95655, 0.0140871,    7.98594}, {175, 0.00348267, 2.96992, 4.34023*10^-27, 8.05004}, {176,    0.00350441, 2.9569, 0.0112019, 7.99332}, {177, 0.00353606, 2.93743,    0.0254055, 7.91445}, {178, 0.00358362, 2.90781, 0.0439095,    7.80201}, {179, 0.00366125, 2.85969, 0.0685708, 7.63264}, {180,    0.0037445, 2.80767, 0.0891022, 7.46372}, {181, 0.0038446, 2.74659,    0.107359, 7.27855}, {182, 0.003962, 2.67731, 0.122165,    7.08088}, {183, 0.00408066, 2.60798, 0.130038, 6.89764}, {184,    0.00421573, 2.53408, 0.13467, 6.70861}, {185, 0.00435635, 2.46022,    0.134399, 6.52873}, {186, 0.00449348, 2.3895, 0.12767,    6.36945}, {187, 0.00464483, 2.31891, 0.12169, 6.20612}, {188,    0.00479085, 2.25265, 0.111276, 6.06199}, {189, 0.00493048, 2.19114,    0.0969574, 5.937}, {190, 0.00507624, 2.13333, 0.0868532,    5.80991}, {191, 0.00520924, 2.08121, 0.0728039, 5.70511}, {192,    0.00533414, 2.03443, 0.0587529, 5.61315}, {193, 0.005454, 1.99256,    0.0488175, 5.52469}, {194, 0.00555664, 1.95654, 0.0357567,    5.4579}, {195, 0.0056491, 1.92576, 0.026371, 5.3971}, {196,    0.00572788, 1.90041, 0.0195179, 5.34518}, {197, 0.00578611, 1.88105,    0.00995626, 5.31438}, {198, 0.00583292, 1.86694, 0.00737286,    5.28264}, {199, 0.00586038, 1.85857, 0.00496208, 5.26553}, {200,    0.00586554, 1.85613, 4.76551*10^-28, 5.26926}}