Here is the Answer
Basic

Lecture Notes

This method focuses on constructing an answer directly to solve the given problem, proving to be extremely powerful when tackling 'fill in the blank' and 'multiple choice' questions, where no procedural steps are required. Even in the case of proofs, this approach can offer significant advantages. If it is possible to deduce the final answer initially, one can then work backwards to bridge the gap in reasoning, detailing how this answer can be systematically reached.

One example is given below. There are multiple ways to solve it. One intuitive method is just to find such a number that meets the requirement.

Examples

(4786) Show that there exists a perfect sqaure whose leading $2024$ digits are all $1$. |