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Pascal's Triangle: Mathematical Patterns

Can Pascal's Triangle be solved using a 2D array?

The answer

Yes, and this is the most common interview approach. You generate a 2D array where arr[i][j] = arr[i-1][j-1] + arr[i-1][j].

More FAQs in Pascal's Triangle: Mathematical Patterns

It is a triangular array of binomial coefficients where the edges are 1, and each internal number is the sum of the two numbers directly above it.

It serves as an introductory problem for Dynamic Programming (using previous state to calculate current state) and combinatorial mathematics.

You can calculate it using the combinations formula nCr, or calculate the next item in a row on the fly using: current * (row - col) / col.

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