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For Loop and Array related


Hi All,

I have an array with 100 elements, all set to zero initially.  Then I
want to randomly choose one element and increase its value by one, and
repeat this 16000 times. Here is my code:

Lattice = Table[0, {n, 100}];
For[i = 1, i = 16000, i++, Lattice[[Random[Integer, {1, 100}]]]++]

So now if I add all the elements in the list Lattice together, I should
get 16000 (I use Total[Lattice] to get the sum of the list).  But this
doesn't happen, and strangely, each time I run this, the sum of the
list is different!  What am I doing wrong?

Also I'm aware that a lot of Mathematica newbies try and write code
like it were C++ and I think i've fallen into this trap as well.  So is
there a different (more Mathematica) way which I can implement the
above?

Thanks in advanced.


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