SAMV (algorithm)
Okay, imagine you and your friends want to share some candy equally, but you have different amounts. So you decide to use an algorithm called SAMV (Successive Averaging Mean Value).
First, you and your friends add up all the candy you have together. Let's say you have a total of 20 pieces.
Then, you divide the total candy by the number of friends to find out how many pieces each person should get. If there are 4 friends, then 20 pieces divided by 4 is 5 pieces each.
Now, say one of your friends only has 3 pieces of candy, and another friend has 7. To make it fair, you take turns giving each person some of the extra candy until everyone has the same amount.
So first, you give the friend who has 3 pieces 2 extra pieces to make it 5. Now, everyone has 5 pieces.
But then, the friend who initially had 7 pieces realizes they have too much, and they give 1 piece to each of the other friends. Now, everyone has 6 pieces of candy.
You keep repeating this process of giving and taking until everyone has the same amount of candy, or until it's impossible to make it any more fair.
And that's basically how the SAMV algorithm works - it helps you divide things equally among a group of people by taking turns giving and taking until everyone has the same amount.
First, you and your friends add up all the candy you have together. Let's say you have a total of 20 pieces.
Then, you divide the total candy by the number of friends to find out how many pieces each person should get. If there are 4 friends, then 20 pieces divided by 4 is 5 pieces each.
Now, say one of your friends only has 3 pieces of candy, and another friend has 7. To make it fair, you take turns giving each person some of the extra candy until everyone has the same amount.
So first, you give the friend who has 3 pieces 2 extra pieces to make it 5. Now, everyone has 5 pieces.
But then, the friend who initially had 7 pieces realizes they have too much, and they give 1 piece to each of the other friends. Now, everyone has 6 pieces of candy.
You keep repeating this process of giving and taking until everyone has the same amount of candy, or until it's impossible to make it any more fair.
And that's basically how the SAMV algorithm works - it helps you divide things equally among a group of people by taking turns giving and taking until everyone has the same amount.