Now, we know the number is greater than 700, but less than 750. So, you guess half of 50 plus 700 which is 725. However, the number is lower, so we guess 5 down, which is 720. The number is still wrong, so we go 10 down, making the number 710. The number was correct, but if it wasn't, it would tell you if it was greater or less, so you would add or subtract 5, and work from there. This time, I only had to guess 5 times, which is a record, but it may take up to 15 tries if you use this method.
Oh, if you want to practice this method, you can play it here
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