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Programming Puzzle 24 - So you think you know long division?

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  • Programming Puzzle 24 - So you think you know long division?

    Puzzle 24 - So you think you know long division?

    The professor has discovered a number that has unique properties.

    If you divide this number by 2 you get a remainder of 1.
    If you divide this number by 3 you get a remainder of 2.
    If you divide this number by 4 you get a remainder of 3.
    And so on...
    The sequence continues until finally, if you divide
    this number by 10 you get a remainder of 9!

    Your task grasshopper is to write an xbasic program that will
    find this number, and display your proof in the Alpha Five
    trace window.

    In order to avoid negatively impacting the nation's gross
    domestic product the professor has a hint for you. The
    number is more than 2,000 and less than 3,000.

    Bonus points will be awarded to the most efficient solutions.
    So include a timer in your code and report the results in
    your solution if you try for the bonus points.

    Have fun.




    Credit EasyCalculation.com for the idea behind this puzzle.

  • #2
    Re: Programming Puzzle 24 - So you think you know long division?

    hello
    here is my solution...
    i have not tried timer yet. so i will lose my bonus point
    i am also using message box so i will not qualify for anything...
    Code:
    dim x as n
    for x = 2000 to 3000
    	if mod(x,10)=9
    		if mod(x,9)=8
    			if mod(x,8)=7
    				if mod(x,7)=6
    					if mod(x,6)=5
    						if mod(x,5)= 4
    							if mod(x,4)=3
    								if mod(x,3)=2
    		msgbox("The number is ",str(x))
    								end if
    							end if
    						end if
    					end if
    				end if
    			end if
    		end if
    	end if
    		next
    thanks for reading

    gandhi

    version 11 3381 - 4096
    mysql backend
    http://www.alphawebprogramming.blogspot.com
    ggandhi344@gmail.com
    Skype:ggandhi344@gmail.com
    1 914 924 5171

    Comment


    • #3
      Re: Programming Puzzle 24 - So you think you know long division?

      hello
      now i have added elapsed time, also using msgbox - not eligible for anything.
      elapsed time shows "0 secs" i am not certain if i am doing the calculation correct.

      Code:
      dim t1 as y
      t1=ctot(time())
      dim t2 as y
      dim x as n
      for x = 2000 to 3000
      	if mod(x,10)=9
      		if mod(x,9)=8
      			if mod(x,8)=7
      				if mod(x,7)=6
      					if mod(x,6)=5
      						if mod(x,5)=4
      							if mod(x,4)=3
      								if mod(x,3)=2
      									t2=ctot(time())
      				d=(t2-t1)/60				
      				msgbox("The answer is",str(x))
      				msgbox("Elapsed time","It took "+alltrim(str(d))+" seconds")
      								end if
      							end if
      						end if
      					end if
      				end if
      			end if
      		end if
      	end if
      next
      Last edited by GGandhi; 05-29-2012, 05:55 AM. Reason: added alltrim
      thanks for reading

      gandhi

      version 11 3381 - 4096
      mysql backend
      http://www.alphawebprogramming.blogspot.com
      ggandhi344@gmail.com
      Skype:ggandhi344@gmail.com
      1 914 924 5171

      Comment


      • #4
        Re: Programming Puzzle 24 - So you think you know long division?

        gandhi,

        Very nice! You got the correct answer.

        I asked Professor Pickypicky to look at your script. Unfortunately, he was a bit cranky since I woke him from his nap. Anyway, he had a few small observations for you.

        1) He thinks you should learn to use the trace window. Unlike the message box, the flow of the program is not interrupted when the script writes information to the trace window. Focus does not shift from the running program to the trace window. This can be a real problem in some cases when using msg boxes so it's very useful to know how to work with the trace window.

        2) He thinks your program keeps running after the solution is found, does it not? He thinks it unnecessary to keep testing values after the msgbox is displayed. In the interest of efficiency why not exit the For ... Next code block once the solution is found?

        3) The professor recommends that you compare the precision of the TIME() and NOW() functions that Alpha supplies. TIME() can't be used to measure intervals smaller than one second.

        Thanks for playing. Hope you found it an interesting exercise.

        -- tom

        Comment


        • #5
          Re: Programming Puzzle 24 - So you think you know long division?

          thanks
          1> i changed time() to now() in my test script and it does show result less than 0 secs. (i did not resubmit the code)
          2> while building the script i did not exit for loop to see any other number pops up. none popped. i got distracted and did not add exit to the finished product.
          3> also i used trace.writeln in my test script and can see the results when i view the trace window.
          thanks again.
          thanks for reading

          gandhi

          version 11 3381 - 4096
          mysql backend
          http://www.alphawebprogramming.blogspot.com
          ggandhi344@gmail.com
          Skype:ggandhi344@gmail.com
          1 914 924 5171

          Comment


          • #6
            Re: Programming Puzzle 24 - So you think you know long division?

            Very good!

            The professor is working on another puzzle, so stand by for more fun!

            Comment

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