Sequencer | StrangerCoug's turn
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Plotinus Kitten Caboodle
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Too many subparts, any sequence of numbers can be made into a bingo by adding arbitrary restrictions until it applies to less than half the deck.The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 15 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
Chord: StrangerCoug, D3f3nd3r: 0 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [10, 20, 200] Numbers with only one nonzero digit
's turn.StrangerCoug
Code: Select all
In [149]: rule = [1, 3, 6, 8, 13, 20, 26] In [150]: len([n for n in range(1,101) if sum([int(m) for m in str(n)]) in rule]) Out[150]: 29
This applies to 29/100 cards so it looks like a valid bingo to me. And a pretty cool one at that. The numbers below 101 that it applies to are [1, 3, 6, 8, 10, 12, 15, 17, 21, 24, 26, 30, 33, 35, 42, 44, 49, 51, 53, 58, 60, 62, 67, 71, 76, 80, 85, 94, 100]
It turns out that I don't have the time or energy to do this kind of evaluation multiple times per turn, so from now on, when you submit a bingo you should prove that it meets the "applies to less than half the numbers under 100" requirement on your own.The failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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If we phrase 993 as "numbers that are odd mod 5" then it looks fine to me. I think we've settled on a soft limit of 2 filters*: odd(mod5(n)) is okay. "one or three" is two things but "odd" is only one thing, and they are equivalent in mod 5.
We allowed "within 2 of a perfect square" in a previous game, and I'd allow it again. Within 8 feels a little less on the nose -- 56 doesn't feel like almost 43 to me -- but it does apply to less than half the deck so I guess that'd be okay too.
I don't necessarily object to helping people who aren't your teammates if everyone else is okay with it.
* if someone shows me something that needs 3 filters yet still feels like a single coherent thing that doesn't feel overengineered then I might change my mind, but I think the chances of this are lowThe failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 15 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
Chord: StrangerCoug, D3f3nd3r: 14 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [10, 20, 200] Numbers with only one nonzero digit
's turn.ErrantParabolaThe failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 15 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [9, 27, 35, 36] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
Chord: StrangerCoug, D3f3nd3r: 14 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [10, 20, 200] Numbers with only one nonzero digit
's turn.Nancy Drew 39
That's clever, Errant, I like this sequence. Is Sirius's summary right? Are only numbers <= 88 allowed?The failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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prodded nancyThe failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 15 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [9, 27, 35, 36] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20 and 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
Chord: StrangerCoug, D3f3nd3r: 14 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [10, 20, 200] Numbers with only one nonzero digit
's turn.D3f3nder
Your sequence is fine, Nancy.The failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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prodded d3f3nd3rThe failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 15 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [9, 27, 35, 36] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20 and 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
Chord: StrangerCoug, D3f3nd3r: 14 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [10, 20, 200] Numbers with only one nonzero digit
- [18, 29, 37, 82] Numbers whose digit sum is between 9 and 11 inclusive
's turn.vincentwThe failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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prodded vincentThe failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 15 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [9, 27, 35, 36] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20 and 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
Chord: StrangerCoug, D3f3nd3r: 14 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [10, 20, 200] Numbers with only one nonzero digit
- [18, 29, 37, 82] Numbers whose digit sum is between 9 and 11 inclusive
's turn.Sirius9121The failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 15 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [9, 27, 35, 36] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
Chord: StrangerCoug, D3f3nd3r: 14 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [10, 20, 200] Numbers with only one nonzero digit
- [18, 29, 37, 82] Numbers whose digit sum is between 9 and 11 inclusive
's turn.StrangerCoug
edit: i accidentally edited this post instead of quoting it to post the next one, but now i've edited it back to what it was.Last edited by Plotinus on Wed Aug 26, 2020 3:20 am, edited 2 times in total.The failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 15 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [9, 27, 35, 36] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
Chord: StrangerCoug, D3f3nd3r: 14 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [10, 20, 200] Numbers with only one nonzero digit
- [18, 29, 37, 82] Numbers whose digit sum is between 9 and 11 inclusive
- [11, 32, 34] Numbers whose digit sum is prime
's turn.ErrantParabolaThe failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 22 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [9, 27, 35, 36] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
Chord: StrangerCoug, D3f3nd3r: 14 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [10, 20, 200] Numbers with only one nonzero digit
- [11, 32, 34] Numbers whose digit sum is prime
's turn.Nancy Drew 39
yep, and now you have 7 more pointsErrantparabola wrote:can I complete numbers whose digit sum is between 9 and 11 inclusive with 243, 81, and 55?The failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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Haversine has half as many points as Exsecant so Exsecant shouldn't be as worried as they seem to be.
Nancy Drew has requested an extra day for personal reasons -- she can have an extra day if she submits her own sequence, but the deadline is 2 days after 1021 (a bit less than a day from now) if someone else does.
We can require that incompleteable sequences be resubmitted if we catch them in time, if we don't catch them in time then the cards are just wasted. When crafting the rules, I assumed this would only happen by accident because it doesn't seem like a very good strategy.The failure mode of clever is asshole.
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Since only 6 numbers match that sequence in the deck, it's not valid.The failure mode of clever is asshole.
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The > 50% rule only applies to bingos because bingos are supposed to be rare. To start a sequence, they just have to have something in common with each other without repeats or excluding numbers from a sequence they naturally belong to.
Multiple of two or seven: 2, 14, 64, 35, 144, 56 (6 numbers, but you don't have to play all of them right now, to reduce the chances it'll be completed before it gets back to you)
You could also do one of:
multiple of 2: 2, 14, 64, 144, 56, (5 numbers, or fewer if you don't want to spend them all)
multiple of 7: 14, 35, 56, (3 numbers)
Or something else.
These are all legal movesThe failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 22 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [9, 27, 35, 36] numbers that, when mapped onto the 88 keys of the keyboard with 1 being the lowest and 88 being the highest, represent notes that are members of a G7b9 chord (namely, the notes G, B, D, F, and Ab)
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [11, 32, 34] Numbers whose digit sum is prime
I'm accepting this because it's a component of the sequence you thought of for yourself and submitted before the deadline. Good job, Nancy, you're getting the hang of this!Nancy Drew 39 wrote:Is it to late to change it to the latter?:
multiple of 7: 14, 35, 56 (3 numbers)
FINAL ANSWER
Chord gets 8 points for completing that sequence.
It is's turn.vincentwThe failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 29 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 44 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [11, 32, 34] Numbers whose digit sum is prime
It is's turn.Sirius9121
Siriuis has submitted his turn by PM
[34, 400, 9, 15, 27, 87, 53] as x2's first digit is a term of 'a(n) is the number of palindromic numbers with 7 digits in base n which are also palindromic in base n+1.'
There are exactly 50 such numbers in between 1 and 100 inclusive. Complaints? Quibbles?Last edited by Plotinus on Sun Aug 30, 2020 4:29 am, edited 1 time in total.The failure mode of clever is asshole.
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I think I am too. He included this screenshot, and clarified that it means that x2 starts with 1, 2, 7, or 8
As for the rest though, I think it means:
There is only one seven digit number that is palindromic in base 1 and it's palindromic in base 2 as well 11111111 = 1012 = 710
Numbers that are palindromic in base 2: 10000012 = 21023, 10010012 = 22013 , 10101012 = 100113, 10111012 = 101103, 11000112 = 102003, 11101112 = 111023, 11111112 = 112013, so there are no such numbers that are also palindromic in base 3.
If I look up this sequence in the OEIS, I find https://oeis.org/A308918, which is worded exactly as Sirius worded it. It looks like the sequence is increasing, but do we know that it will always increase, that we'll never find a large base that has only a small number that fits this pattern?
Also, if your meta algorithm is to look up four single-digit numbers in the OEIS then this algorithm generates a bingo 100% of the time, which is 63/64 too many.The failure mode of clever is asshole.
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That makes senseThe failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 29 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 54 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [11, 32, 34] Numbers whose digit sum is prime
The failure mode of clever is asshole.
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63 isn't squarefree, it has a 9 in it. do you want to just do [5, 17, 70] or something else?The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 29 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 54 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [11, 32, 34] Numbers whose digit sum is prime
- [5, 17, 70] squarefree
ErrantParabola's turn.
oh sorry, thanks for the reminder.The failure mode of clever is asshole.
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prodding errantThe failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 29 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 54 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [11, 32, 34] Numbers whose digit sum is prime
- [5, 17, 70] squarefree
Nancy Drew 39's turn.The failure mode of clever is asshole.
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Yeah, you can do it, Nancy!The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 29 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 54 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [11, 32, 34] Numbers whose digit sum is prime
- [5, 17, 70] squarefree
D3f3nd3r's turn.
It's great, good job Nancy!The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 43 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 54 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [11, 32, 34] Numbers whose digit sum is prime
- [5, 17, 70] squarefree
- [13, 16, 343] numbers containing a double letter when written out
Sirius9121's turn.
Haversine gains 14 points.
No, it's the 7-smooth numbers.Sirius9121 wrote:Isn't this 5-smooth numbers w/ 7?
pedit: it's Sirius' turn, you can play that when it's your turn, nancy if you want to.The failure mode of clever is asshole.
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I hadn't updated the topic title after her turn so it's understandable that she got confused.The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 43 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 62 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [5, 17, 70] squarefree
- [13, 16, 343] numbers containing a double letter when written out
StrangerCoug's turn. Exsecant gains 8 pointsThe failure mode of clever is asshole.
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They need to finish 3 sequences (or 1 bingo and 1 sequence) to overtake youThe failure mode of clever is asshole.
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Your handicap goes away if your team falls into second place.
Next game, bingos will be worth 8 points each and we won't do handicaps. I think this will make the game be less stressful for everyone.
Ideally, the scores should be neck and neck for most of the game -- players get discouraged if they fall so far behind that they have no chance of winning, and players also lose interest if they get so far ahead that they can win even if they just phone it in.The failure mode of clever is asshole.
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I went back through the game, and if we were playing with "bingos are worth 8 points each for everybody", the scores would be
haversine: 37
exsecant: 48
chord: 16
we could switch to that scoring mechanism retroactively if all 6 players agree but if anyone disagrees then we can keep on as we are. (also feel free to check my math that i didnt do any miscounting)The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 43 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 62 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [5, 17, 70] squarefree
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
ErrantParabola's turn.The failure mode of clever is asshole.
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prodding errantThe failure mode of clever is asshole.
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Playing Errant's leftmost card to the topmost sequence it fits: 49 to square numbers
Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 43 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36, 49] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 62 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [5, 17, 70] squarefree
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
Nancy Drew 39's turn.The failure mode of clever is asshole.
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It's all right. Feel better soon <3The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 43 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36, 49] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 62 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
- [2, 64, 50, 6, 84] {2n} multiples of 2
Chord: StrangerCoug, D3f3nd3r: 22 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [5, 17, 70] squarefree
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
D3f3nd3r's's turn.The failure mode of clever is asshole.
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prodding d3f3nd3rThe failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 50 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [841, 576, 36, 49] {n2}square numbers
Exsecant: Sirius9121, Nancy Drew 39: 72 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 29 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
StrangerCoug's's turn.The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 50 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
Exsecant: Sirius9121, Nancy Drew 39: 72 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 37 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
ErrantParabola's's turn.The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 50 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [2, 86, 165] within 3 of a multiple of 83
Exsecant: Sirius9121, Nancy Drew 39: 72 points- [1, 8, 9] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 37 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
Nancy Drew 39's's turn.Last edited by Plotinus on Mon Sep 14, 2020 3:02 am, edited 1 time in total.The failure mode of clever is asshole.
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FixedThe failure mode of clever is asshole.
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Suppose my hand is 101, 102, 103, 104, 105, 106, 107 and I look at the sequence you have put, and I want to know if any of my cards fit your sequence. What should I ask myself about my cards?
Like if I want to know if my cards fit Errant's 2024 sequence, I can look at a calendar and check what day of the week the 100th day of the year falls on. The question is "Is the 101st day of the year a Saturday or Sunday?" Or if I want to know if they fit the divisible by 7 sequence, then the question I ask is "Is 105 divisible by 7?" For each sequence, there is one thing I can ask myself about each of my cards to see if they fit it or not.
For 2, 29, 32, 1, it's true that 2 + 29 = 32 - 1 but what is the rule that I could look at each of my cards and say "oh this is true of x so it fits" or "this is not true of y so it does not fit?"
It looks like you're thinking about the sums of digits, that's a good step. You can sum the digits of each of the numbers in your hand and see if there's anything special about the resulting digit sums. If I did that with my fictious hand I would get 2, 3, 4, 5, 6, 7, 8 and then I see I could make a "digit sums are even" sequence or "a digit sums are odd sequence" or a "digit sums are prime sequence" or a "digit sums are composite sequence"The failure mode of clever is asshole.
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Actually, I couldn't do "digit sum is prime" because that one was already done by someone this game. But I could do "digit sum is a power of two" with my fictious hand.The failure mode of clever is asshole.
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Nancy Drew 39 has run out of time, so she plays her leftmost card to the topmost sequence it fits into, starting with her team's sequences. This card is a 2 and it fits into the single digit numbers sequence.
Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 50 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [2, 86, 165] within 3 of a multiple of 83
Exsecant: Sirius9121, Nancy Drew 39: 72 points- [1, 8, 9, 2] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 37 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
D3f3nd3r's's turn.The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 50 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [2, 86, 165] within 3 of a multiple of 83
Exsecant: Sirius9121, Nancy Drew 39: 72 points- [1, 8, 9, 2] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 51 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
vincentw's's turn.
Sirius, it's rude to insult people. Please stop.Last edited by Plotinus on Thu Sep 17, 2020 2:51 am, edited 1 time in total.The failure mode of clever is asshole.
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thank youThe failure mode of clever is asshole.
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Sirius has submitted his turn by PM
I think this is okay -- the "starts with 0" part can be ignored, since no integers start with 0 and all of his numbers start with one of {1, 3, 4}. Wikipedia takes me to a disambiguation page with other possible meanings of binomial but I'm pretty sure binomial refers to the the n choose k thing, so the first number in the sequence is 1 choose 0 = 1, the second is 2 choose 0 = 1, the third is 3 choose 1 = 3, the fourth is 4 choose 1 = 4, the fifth is 5 choose 2 = 10 and then they get larger from there. I'll let people weigh in until I wake up tomorrow.the first digit of x fulfills 'a(n) = binomial(n, floor((n-1)/2)).'
equalivent to 'starts with 0,1,3,4'
Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 50 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [2, 86, 165] within 3 of a multiple of 83
- [41, 51, 89] numbers equivalent to ±1 mod 10
Exsecant: Sirius9121, Nancy Drew 39: 72 points- [1, 8, 9, 2] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 51 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
Sirus's's turn.The failure mode of clever is asshole.
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I do think you can tie any four numbers to each other. What percent of hands will have at most four different digits in any of the places?The failure mode of clever is asshole.
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Which is more than the 1/64th of hands.
My attempt at calculating it: 210 is 10 choose 4, the number of ways of choosing which 4 digits, and the rest is choosing 7 cards out of 100 that have one of those 4 numbers in that place. And then doubling it because it's the same calculation whether we get only 4 digits in the tens place or only 4 digits in the ones place -- the bingo seeker will choose tens place or ones place based on the hand they've drawn
In [223]: 210*40*39*38*37*36*35*34/100/99/98/97/96/95/94*2
Out[223]: 0.48916229635685654
or 48.9% of hands will have either at most of 4 of the same digit in at least one of the tens place or the ones place.
The true number is going to be a little higher because there's also "starts with" which means there'll be 11 numbers that start with each of the four digits, not ten.
It's true that there's an extra step here of finding something that fits those [up to four] digits that doesn't fit the other numbers below ten, but the required 1/64 is 0.015625, about 1.5%. If 95% of possible combinations of 4 numbers are hard to find a sequence for, then that's still okay, but I think a lot of them are quite trivial. For example about a quarter of them should fit a "x mod 3" pattern (3 choose 1) × 34/1000 -- chosen with replacement because it's possible to draw cards such that all of them start with the same number)
On the other hand, Sirius hasn't been doing "x mod 3" for the second half, he's doing something with binomials this time, it's clear that he's put work and thought into it.
Next game with the different scoring rules it won't matter so much because getting a bingo won't always be the move that give the most points, so we won't have to think so hard about whether each individual bingo is rare enough to be worth it. This game, I'm thinking that since we have accepted digit stuff before, Sirius could have reasonably expected this sequence to be fine, so if we want to disallow digit stuff for bingos it might be best to do it starting after this turn, especially since his turn is almost up.The failure mode of clever is asshole.
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I guess we should vote on it.
Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 50 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [2, 86, 165] within 3 of a multiple of 83
- [41, 51, 89] numbers equivalent to ±1 mod 10
Exsecant: Sirius9121, Nancy Drew 39: 82 points- [1, 8, 9, 2] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 51 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
StrangerCoug's turn.The failure mode of clever is asshole.
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Spoiler: completed sequences
Haversine: vincentw, ErrantParabola: 50 points- [9, 73, 90, 7] numbers that, when written in English, have its most common letter represent at least one third of all the letters in the name
- [62, 97, 68, 23, 84] numbers that, when represented in month/date format with leading zeroes removed, land on a weekend in the year 2024
- [2, 86, 165] within 3 of a multiple of 83
- [41, 51, 89] numbers equivalent to ±1 mod 10
- [8, 18, 44, 1, 324] digit sum is a perfect power (k^n with n > 1, k and n are integers)
Exsecant: Sirius9121, Nancy Drew 39: 82 points- [1, 8, 9, 2] {n < 10} single digit numbers
- [12, 20, 28] {n ≡ 4 (mod 8)} divided by 8 leaves a remainder of 4
- [1, 8, 15] {7n+1} divided by 7 leaves a remainder of 1
- [14, 35, 56] {7n} divisible by 7
- [144, 75, 93] either the digits sum to 12, or the number is a multiple of 12
Chord: StrangerCoug, D3f3nd3r: 51 points- [8, 10, 40] numbers that, when spelled normally in English, have no duplicated letters
- [13, 16, 343] numbers containing a double letter when written out
- [3, 63, 600] Numbers, all of whose digits are divisible by 3 (0 counts)
Nancy Drew 39's turn. There are 48 cards left in the deck.
I also feel like the bingo thing has broken the game in a bad way. I've been trying to find ways to unbreak it but it's been pretty unfun. I want to keep it as fun for all of you guys as we can. I think 8 point bingos for next game will fix a lot of the problem.
I thought "the consequence of posting your hand is that the other teams can see your cards" would be enough of a deterrent most of the time -- and when we nerf bingos it will be?
Maybe the rule can be "first time players may (but don't have to) post their very first hand if they need help for their turn but after that no more posting hands"?
votes to not allow "nth digit is / starts with / ends with" in bingos: strangercoug, presumably d3f3nd3r and vincent?
I apparently didn't send vincentw a new hand earlier so i'm doing that now
edit: actually added Errant's moved to the board this time.The failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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prodding Nancy Drew 39The failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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This was the last move made, and it was made 38 hours ago, on Sun, 2020.09.20 17:02:05 (Europe time), so I should have prodded you yesterday afternoon (24 hours after Errant made her move), but because I was late to prod you, you can have until (expired on 2020-09-23 07:00:00).In post 1161, Errantparabola wrote:and for expediency's sake, if you accept that I will add to that as my turn (the numbers being 1 and 324)The failure mode of clever is asshole.
Modding checklists | Sequencer is in Game 5 | Space II is in Day 4-
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Plotinus Kitten Caboodle
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Do players dislike the "your timer starts as soon as the last person goes" rule? Would players prefer it to instead start when I update the game?The failure mode of clever is asshole.
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Plotinus Kitten Caboodle
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The way I see it is that you usually have about a few days to think of something from the time to get your cards to the time it's your turn and then you get two days after that, so it's basically a week the way things are right now.The failure mode of clever is asshole.
Modding checklists | Sequencer is in Game 5 | Space II is in Day 4-
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Plotinus Kitten Caboodle
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I agree, that's a reasonable accommodation for players with disabilities. Thanks for speaking up, Nancy. Your turn can start when I update the thread and I'll prod you even if it looks like you're actively posting.
About allowing a combination of numbers to add up to or subtract to 13 or 31 -- until now the rules for sequences have had to apply to each number individually, but this one is well defined enough that I think it could work if we limit it to addition and subtraction and no more than two separate cards per combination? It does pass the test of "can i figure out which of the cards in my hand is allowed?" What do you guys think.The failure mode of clever is asshole.
Modding checklists | Sequencer is in Game 5 | Space II is in Day 4-
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Plotinus Kitten Caboodle
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I PMed Nancy to ask her to clarify, since it's her rule.
In favour of yes: sequences are many-to-many relationship -- if the rule is "divisible by 7" then all the numbers have divisibility-by-sevenness in common with each other, so if we allow combinations between two numbers then it shouldn't matter whether the numbers are played at the same time or at diferent times.
In favour of no: without looking at anybody's hands, whoever goes next is probably going to be able to complete this sequence, and it's in the best interests of the team that played the sequence for the rule to be interpreted as narrowly as possible, requiring players to play the two cards that are being combined at the same time.The failure mode of clever is asshole.
Modding checklists | Sequencer is in Game 5 | Space II is in Day 4-
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Plotinus Kitten Caboodle
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If we don't hear from Nancy by (expired on 2020-09-24 14:53:55), then the rule will be interpreted as "The card is itself 13, 31; or the digit sum of the card is 13 or 31; or two cards played together have a digit sum of 13, 31; or two cards played together can be added to or subtracted from each other to achieve 13 or 31." I think this is closest to the spirit of what Nancy was trying to say without making the sequence be "whoever goes next gets 11 points".
I think allowing combinations like this doesn't break the game too much because it's never going to come up in a bingo (applies to too much of the deck), so it doesn't put the team that creates the sequence at an unfair point advantage.The failure mode of clever is asshole.
Modding checklists | Sequencer is in Game 5 | Space II is in Day 4-
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Plotinus Kitten Caboodle
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