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  • Initialize array in amortized constant time -- what is this trick called?

    - by user946850
    There is this data structure that trades performance of array access against the need to iterate over it when clearing it. You keep a generation counter with each entry, and also a global generation counter. The "clear" operation increases the generation counter. On each access, you compare local vs. global generation counters; if they differ, the value is treated as "clean". This has come up in this answer on Stack Overflow recently, but I don't remember if this trick has an official name. Does it? One use case is Dijkstra's algorithm if only a tiny subset of the nodes has to be relaxed, and if this has to be done repeatedly.

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  • Initialize array in O(1) -- how is this trick called?

    - by user946850
    There is this pattern that trades performance of array access against the need to iterate it when clearing it. You keep a generation counter with each entry, and also a global generation counter. The "clear" operation increases the generation counter. On each access, you compare local vs. global generation counters; if they differ, the array has been reset. This has come up in StackOverflow recently, but I don't remember if this trick has an official name. Does it? One use case is Dijkstra's algorithm if only a tiny subset of the nodes has to be relaxed, and if this has to be done repeatedly.

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  • Save Java frame as a Microsoft Word or PDF document?

    - by Jason
    I am working on a billing program - right now when you click the appropriate button it generates a frame that shows the various charges etc, basically an invoice. Is there a way to give the user an option of saving that frame as a document, either Microsoft Word, Microsoft Works or PDF?

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  • Is there a good free (prefrerably PDF) bash tutorial online?

    - by morpheous
    I am finding myself doing a lot more messing around with scripts than I used to and my lack of knowledge in this area (and linux sysadmin/security in general), is becoming a hindrance. Can anyone recommend a good online resource for bash scripting/linux admin. Preferably, it will be in pdf format, so I can copy it (single file) onto my PDA.

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  • fPDF: how to strikeout/strikethrough justified text in multicell?

    - by SWilk
    Hi, I am generating a PDF with fPDF. I need to strikethrough a long text inside a MultiCell. The text is justified to left and right, which probably is the source of the problem. Here is my code: //get the starting x and y of the cell to strikeout $strikeout_y_start = $pdf->GetY(); $strikeout_x = $pdf->getX(); $strikeText = "Some text with no New Lines (\n), which is wrapped automaticly, cause it is very very very very very very very very very very long long long long long long long long long long long long long long long long long long" //draw the text $pdf->MultiCell(180, 4, $strikeText); //get the y end of cell $strikeout_y_end = $pdf->GetY(); $strikeout_y = $strikeout_y_start+2; $strikeCount = 0; for ($strikeout_y; $strikeout_y < $strikeout_y_end - 4; $strikeout_y+=4) { $strikeCount++; //strike out the full width of all lines but last one - works OK $pdf->Line($strikeout_x, $strikeout_y, $strikeout_x + 180, $strikeout_y); } //this works, but gives incorrect results $width = $pdf->GetStringWidth($strikeText); $width = $width - $strikeCount*180; //the line below will strike out some text, but not all the letters of last line $pdf->line($strikeout_x, $strikeout_y, $strikeout_x+$width, $strikeout_y); The problem is that as the text in multicell is justified (and have to be), the spacec in previous lines are wider than the GetStringWidth assumes, so GetStringWidth underestimates the full width of this text. As a result, the last line is stroked out in, say, 70%, and some letters on the end of it are not stroked out. Any ideas how to calculate the width of last line in multicell?

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  • Minimal-change algorithm which maximises 'swapping'

    - by Kim Bastin
    This is a question on combinatorics from a non-mathematician, so please try to bear with me! Given an array of n distinct characters, I want to generate subsets of k characters in a minimal-change order, i.e. an order in which generation n+1 contains exactly one character that was not in generation n. That's not too hard in itself. However, I also want to maximise the number of cases in which the character that is swapped out in generation n+1 is the same character that was swapped in in generation n. To illustrate, for n=7, k=3: abc abd abe* abf* abg* afg aeg* adg* acg* acd ace* acf* aef adf* ade bde bdf bef bcf* bce bcd* bcg* bdg beg* bfg* cfg ceg* cdg* cde cdf* cef def deg dfg efg The asterisked strings indicate the case I want to maximise; e.g. the e that is new in generation 3, abe, replaces a d that was new in generation 2, abd. It doesn't seem possible to have this happen in every generation, but I want it to happen as often as possible. Typical array sizes that I use are 20-30 and subset sizes around 5-8. I'm using an odd language, Icon (or actually its derivative Unicon), so I don't expect anyone to post code that I can used directly. But I will be grateful for answers or hints in pseudo-code, and will do my best to translate C etc. Also, I have noticed that problems of this kind are often discussed in terms of arrays of integers, and I can certainly apply solutions posted in such terms to my own problem. Thanks Kim Bastin

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