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Counting Problem

Expert replies

by HPengineer » Tue Aug 17, 2010 7:40 am
kvcpk,

How would your formula work for say finding 5 for the range from 500 to 10,000?

Would you start your first set still as (5-0)+ 1 = 6 +5 +4 +3 +2 +1? What if some of these values are below 500? how do we account?
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by kvcpk » Tue Aug 17, 2010 7:51 am
HPengineer wrote:kvcpk,

How would your formula work for say finding 5 for the range from 500 to 10,000?

Would you start your first set still as (5-0)+ 1 = 6 +5 +4 +3 +2 +1? What if some of these values are below 500? how do we account?
Assuming 500 is not included,

The problem you are asking for is same as finding sum of 5 for the range 1000 to 10000.
Because, there will be no value between 501 and 999, that has a sum of digits as 5.

So my first range header will be 1.

Hope this helps!!
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by HPengineer » Tue Aug 17, 2010 7:54 am
ok lets say 500 was included... it should still work cause header would be (5-5) +1 = 1

there would only be one value from 500 to 999 thats adds up to 5...

nice solution...
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