On a nice day, Babai, a computer scientist, received back all 6 pairs of my \(\color{blue}{blue}\) and \(\color{red}{red}\) socks in a laundry basket. He needed to pair them up into pairs of same color for me.

Being a computer scientist, he wondered what would be a good way to sort them out. Can you help him by figuring out the faster way to sort these?

**Swap and Go:**

- Lay the socks on the table side by side.
- While there are some \(\color{blue}{blue}\) socks in the last 6 socks, do the following:
- Going from left to right, if there is a \(\color{red}{red}\) sock to the right of a \(\color{blue}{blue}\) sock, exchange them.

- Now, all 6 pairs of adjacent socks are each of the same color. So, take two at a time and pair them up.

**Throw into Buckets:**

- Lay the socks on the table side by side. Take two buckets, \(\color{red}{red}\) and \(\color{blue}{blue}\).
- For all the socks on the table, check which of them are \(\color{red}{red}\), one by one:
- if a sock is \(\color{red}{red}\), put it in the \(\color{red}{red}\) bucket;
- if a sock is \(\color{blue}{blue}\), put it in the \(\color{blue}{blue}\) bucket.

- Now, we know that all the \(\color{red}{red}\) and \(\color{blue}{blue}\) socks are each in the bucket of the same color. Taking two of them at a time from the same bucket, pair them up.

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