Abababcb and perfect square puzzle

In summary, the Abababcb and perfect square puzzle is a mathematical problem that involves filling in a grid with the letters "A" and "B" in a specific pattern, while also creating a perfect square shape. It can be solved using a systematic approach and has real-world applications in areas such as coding and cryptography. There are multiple solutions to this puzzle, and it can also be solved using a computer program.
  • #1
K Sengupta
113
0
P is a base ten positive integer of the form abababcb, such that (P-1) is a perfect square ; where a, b and c denote three different digits from 0 to 9, with a being nonzero.

Determine all possible value(s) of P for which this is possible.
 
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  • #2
I did this programatically and got 2 results. Is this correct and may I post them?
 
  • #3
My solution:
a=4 b=5 c=6
a=8 b=2 c=0
 

Related to Abababcb and perfect square puzzle

1. What is the Abababcb and perfect square puzzle?

The Abababcb and perfect square puzzle is a mathematical problem that involves filling in a grid with the letters "A" and "B" in a specific pattern, while also creating a perfect square shape. The challenge is to find the smallest possible grid size that can accommodate this pattern.

2. How do you solve the Abababcb and perfect square puzzle?

The solution to this puzzle involves using a systematic approach to fill in the grid with the letters "A" and "B" in a specific pattern, while also ensuring that the grid forms a perfect square. This can be achieved by starting with a smaller grid size and gradually increasing it until the desired pattern is formed.

3. What is the significance of the Abababcb and perfect square puzzle?

The Abababcb and perfect square puzzle is a popular problem in mathematics and computer science. It is often used as a test of problem-solving skills and critical thinking abilities. Additionally, the solution to this puzzle has real-world applications in areas such as coding and cryptography.

4. Is there only one solution to the Abababcb and perfect square puzzle?

No, there are multiple solutions to this puzzle. The goal is to find the smallest possible grid size that can accommodate the given pattern, but there can be different ways of achieving this. Some solutions may involve rotating or reflecting the grid, while still forming a perfect square and following the specified pattern.

5. Can the Abababcb and perfect square puzzle be solved using a computer program?

Yes, this puzzle can be solved using a computer program. In fact, many computer programs have been created specifically to find the solution to this puzzle. These programs use algorithms and logic to systematically fill in the grid and find the smallest possible grid size that satisfies the given conditions.

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