how to get started with TopCoder to update/develop algorithm skills?

The only way to get started would be to pick problems. Division I is the more difficult division, so you will probably find that the division I medium and hard problems will be somewhat interesting and challenging (unless you are quite clever.)

If you check the event calendar, you can see what algorithm competition rounds are coming up in your time zone. The competitions have the added virtue of forcing you to read and analyze other people’s code in the challenge phase, so even if you would just as soon practice without a clock, you may find them interesting.

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