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1 modulo 3 =

1

cuemath.com › questions › what-is-1-mod-3

To find 1 mod 3 using the modulus method, we first find the highest multiple of the divisor, 3 that is equal to or less than the dividend, 1.

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math - Explanation of 1 mod 3 - Stack Overflow

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1 of 2

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The remainder in 1%3 refers to what remains of 1 (not 3) after you divide by 3. As you have already said, 3 goes into 1 zero times. So -- when you remove 0 multiples of 3 from 1, all of 1 remains. Thus 1 % 3 = 1.

2 of 2

14

The result of a modulo operation n % m is just that number r for which q * m + r = n (q may be anything). The only requirement we have is that 0 <= r < m.

So for instance:

7 % 5 --> 1 * 5 + 2 == 7 --> r = 2
1 % 3 --> 0 * 3 + 1 == 1 --> r = 1

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Modulo Calculator

If you did not use the mod operator you would have to do the math in your code. For example you would have to calculate "is 496 a multiple of 4?". You would divide 496 by 4, so 496 / 4 = 124 with no remainder.

Discussions

Getting started. Springfield Mod 3? - Miscellaneous BEginners - Brian Enos's Forums... Maku mozo!

Shot USPSA years ago. But had to get away from it. Thinking of starting to shoot again and am looking for some ideas on what pistol to start with. Right now I have quite a few hand guns but each has a small issue to use them for competition. I have a Kimber 1911. Thought about shooting Single sta... More on forums.brianenos.com

forums.brianenos.com

June 18, 2025

I have the solution to this problem, but I don't understand the logic behind the solution.

First, tripling the range and then only considering the multiples of 3 is the same as using the original range and tripling each integer. The multiples of 3 will have all of their digits sum to a multiple of 3, as you mention. So, now we just want to know how many of the integers in the range consist of only odd digits, and whose digits sum to a multiple of 3. Next, you can consider mod results as negatives, but it isn’t actually necessary. 2 mod 3 = -1 mod 3. They used -1 so that it was (more) obvious that when you add it to 1 the result is 0. But 1 mod 3 plus 2 mod 3 is also 0. The only reason to use mods in this solution is to reduce the number of cases to consider. Rather than considering each possible odd digit at each location, using mods least you combine cases. The 0 mod 3 (odd) digits are 3 and 9. 1 mod 3 are 1 and 7. 2 mod 3 (or -1) is 5. The difference bullet points are just the different ways that the groups of digits can be combined to result in the digits summing to 0 mod 3. Then the counts are the size of that group (1 or 2), and they are multiplied together along with the number of permutations for that case. More on reddit.com

r/askmath

6

1

October 22, 2023

Any rootless One UI 3 mods out yet? (miss One UI 1 & 2 style :c )

Hex works for me fine. Even has custom fonts now

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