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  1. cobolist

    Square splitting

    A mistake in my computations. x_{i+1}=3x_i+4n_i+1 n_{i+1}=2x_i+3n_i+1 is the recursion which gives the solutions.
  2. cobolist

    Square splitting

    For those who didn't read the previous post beyond the first line (who wants to spoil the fun by getting a bad solution early?), here's an extra twist to the original problem: The maximum number of rectangles of different area we can put into any shape is clearly 1+2+3+4...+x (since this uses...
  3. cobolist

    Square splitting

    Let us take a trivial example: square board of 2x2. Then there isn't a solution. If I try e.g. AB xB" There is a solution: AA AA I'm sorry using the word Lebesgue measure. As a mathematician I just think areas as Lebesgue measures. So nxn board has measure n^2.
  4. cobolist

    Square splitting

    As I understand it, you have to split up an integer-sized square into the maximum number of integer-sized rectangles, where no two rectangles have the same size." True. And no two rectangles overlaps. "Do the rectangles have to be, well, rectangles? Are squares allowed?" Squares are allowed...
  5. cobolist

    Square splitting

    I have to list the lengths of every A_i " Sorry. Sctually I have to list width and height of every A_i and their position on a board. So for example 6x6 board can be split into four pieces like this: SSSS)) SSSS)) hhhh)) $$$$$$ $$$$$$ $$$$$$
  6. cobolist

    Square splitting

    I meant that I have an nxn-board (or chessboard). Then I have to find rectangles A_1,...,A_m with integer sides such that A_i intersection A_j = emptyset for every i < j, |A_1|<|A_2|<...<|A_m| (|A_i| means the size of A_i, 2-dimensional Lebesgue measure) if they are ordered by size, and A_1...
  7. cobolist

    Square splitting

    I have been given a square board with side length n. I have to split it as many rectangles as possible with different areas. What is a suitable algorithm to do the job? (n is not very large, say n about 50).
  8. cobolist

    String editing

    I found that in Cobol there are alphanumeric strings and numeric strings. I wondered how to make a program where we have an input like "A30" and we want to multiply the number 30 by 11 to get output "A330".

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