Nowadays, there are three types of CAPTCHAs, including text-based,
picture-based, and sound-based. One of the most complicated picture-based
CAPTCHAs is to match a given number which is equal to the total sum of many
other numbers into a picture.
Suppose
CAPTCHA gives you a picture of twelve dices and asks you to match a given
number such as 48 which is equal to the total sum of some dices in the picture.
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It could be impossible because you have to solve 2^12 scenarios (4096
scenarios) in a very short time.
This analytic model can help us to find the
answer.
As you can see, we enter the given number
into cell “B2” then all numbers of the dices into cell “B3”. If the status is
“OK”, this is the answer. Otherwise, the answer is negative or “REJECTED”.
Please see the video of this model:
First, I assume all 12 dices are equal to 6.
Then I changed some numbers where the total sum would be equal to the given
number.
When the status returns to “OK”, we can
obtain one answer or more, which are the alternative answers.
If you have any question, please do not
hesitate to send it to my email: