flynger

After inputting something like 9, realize that the arrow just adds a 0 where its pointing when calculating the factors for that column. This is consistent with the first column.

Step 5

So we need a number like abc, such that 0abc, a0bc, ab0c, abc0 are divisible by 1-9. We still don't know how long the answer is, but we can still go forward.

Step 6

Recall the divisibility rules for 1-9. 1,2,3,4,6 are factors if 5,7,8,9 are factors.

Step 7

A number ending in 000 is a multiple of 1000, and is always divisible by 5 and 8.

Step 8

To make 7 and 9 a factor, we need to determine the digits at the front. Divisibility by 9 requires the digits to sum to a multiple of 9. We'd also like the digits at the front to be divisible by 7. Is there an easy expression that is clearly divisible by 7 and 9, regardless of any 0s added in between?

Step 9

Yes! A row of 9 7s as such: 777777777. Their sum is 7*9, and each digit is clearly divisible by 7. Combining the two, an answer is 777777777000. Any zero that is added anywhere will not impact our construction.

itch.io Community » itch.io » itch.io tips · Replied to Nebulaoblivion in Adding Spoiler Text to your Game Description

flynger9 days ago (1 edit)

Step 1

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Step 2

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Swordfight!! comments · Posted in Swordfight!! comments

flynger1 year ago

nice