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    joegonota's Avatar
    joegonota Posts: 2, Reputation: 1
    New Member
    		  
    #1

    Mar 14, 2011, 07:31 AM
    Closed Form Problem
    Hi all,

    Please have a look of following question


    Q:

    Find the exact number of times, in terms of the natural number n that s is executed in the following algorithm


    I:=0

    while I<n do

    s;

    I:i+3;

    od


    Please give me some advise to solve this question... thanks a lot
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
    		  
    #2

    Mar 14, 2011, 11:30 PM

    I'm having trouble understanding your problem...

    I'm particularly not familiar with the functions 'do', 's' and 'od' do...
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
    Senior Member
    		  
    #3

    Mar 15, 2011, 10:30 AM
    The variable i starts at 0, then gets incremented by 3 each time through the loop (assuming I'm reading the syntax correctly; I'm not familiar with whatever language that is). The loop ends when i is no longer less than n. That means the loop runs approximately n/3 times.

    If you want to get really specific, it actually runs (floor(n/3) + 1) times, where the "floor" function means that you round down to the nearest integer.
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