Credit cards typically use a 4 digit pin. You've recently come across a credit card and are trying to guess the pin so that you can buy yourself a new TV or a pony.
You have a machine that lets you continuously enter digits until you've entered the correct 4 digit sequence. If the pin was 1234, then you could enter 1234, 096791234, 111234, etc to get in. Thus you can brute force the problem in around 40,000 steps. You don't want to spend the entire day entering numbers though. How can you solve this in less than 40,000 steps?
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