# Tag Info

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So first is to note that I’d imagine that Julia got nothing because As it turns out, To Agnes, I bequeath 12,000 pounds. To Eli, I bequeath 201,000 pounds. To Eric, I bequeath 95,000 pounds. To Levi, I bequeath 101,000 pounds. To Ron, I bequeath 69,000 pounds. To Tim, I bequeath 51,000 pounds. To Toni, I bequeath 94,000 pounds. Sam gets Julia then ...

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The answer could be: Therefore the output of $F(601, 81)$ would be

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I believe this is the largest number that meets that criteria: Reasoning:

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This is a good problem to attack by computer: So I thought, how far can we go? Code used (Python 3 IDLE):

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Okay so the first step is to realize that: Also, Hence, Also, we see that Eliminating all of those, we get that the answer is

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A number which fits is Hint 1: Hint 2:

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Ok, so a ben number is a number that when split like a clock number, and put on a clock, make an acute angle (< 90º) Proof: 17 -> 01:07 -> 12º 20 -> 02:00 -> 60º 24 -> 02:04 -> 36º 49 -> 04:09 -> 66º 121 -> 01:21 -> 66º 158 -> 01:58 -> 42º 538 -> 05:38 -> 78º 830 -> 08:30 -> 60º 1059 -> 10:59 -> 54º 1144 -> 11:44 -> 66º ...

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I'm a very impatient person so I've decided not to wait around to post an answer at the right time which I think will be Reasoning

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A Heptagon number is For each listed number: The numbers in the other column do not have this property.

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OH MY GOD I just got it. Like, as I was looking at my own question. Boy do I feel silly. The next number is PHEW that was bugging the bejeezus out of me! Hahaha

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The constant is Because the dates are

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I think it is Reasoning:

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What is the correct answer depends on the number system that is used. In Hexadecimal, a common thing to display data from computers, the highest number is (with a space separating each block) In Decimal, as you usually use it in normal math, it is Nonal however is a little shorter, as is Octal (like it was used in some game cartridges): The order of ...

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Having 5 divisors means A standard number-theoretical way to observe this is So what we need to do now is Here is the code in Factor: The output is

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Since the actual question is: Can you find the two numbers? Which two students spoke wrongly?, technically no one has answered it! The right answer is: Solution:

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In Mandarin Chinese: 十二 and 二十 Am I cheating? In Braille: In Arabic: In Sino-Korean Cardinal Numerals written in Hangul: In Morse Code: In Roman Numerals: For Binaries if... Note for Latin: Note for Hindi, maybe this is gonna help someone on this one:

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I think the answer is as follows. Case One: Case Two: Case Three: Bonus:

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Since we are only asked to sort, not give actual counts, there is an easy proof that

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This is the Essentially,

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This is a type of puzzle called a "cryptarithm" or an "alphametic". We have many examples of this type of puzzle under the alphametic tag.

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Question 1: Question 2: Question 3: Algorithm used:

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A Voluminous Number™️ is

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Possibly right answer To find the number in the middle of a strip, This suggests that the required code is Certainly wrong answer posted earlier, left here so as not to hide my old mistakes: I will be astonished if this is the intended answer, but it is consistent with the information provided [EDITED to add: ... no, it turned out not to be, because I'd ...

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TL;DR Long explanation: That are Those four exceptions and the ones stated in the Hints are (tanks to @Will): So the Simple Pokémon™ associated to each letter is (thanks @Stiv) the Pokémon which name starts with that letter and So the Simple Pokémon™ starting with Z is since A note about the Moderate Hint:

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The missing number is To get the value in a box from its two preceding inputs, you

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So it is

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I used the following k program to compute it: 2*{~1=#?{x@<x}'$1 2 4*x}(1+)/1 {...}(1+)/1 means start from 1 and increment (1+) while the condition in curly braces is true 1 2 4*x is a list of 1, 2, and 4 times the current value$ convert to string {x@<x}' sort each ? unique # count 1= equal to 1 ~ not 2* multiply by 2

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