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Re^4: How to generate restricted partitions of an integer

by borisz (Canon)
on Nov 11, 2004 at 14:36 UTC ( #407050=note: print w/replies, xml ) Need Help??


in reply to Re^3: How to generate restricted partitions of an integer
in thread How to generate restricted partitions of an integer

Sorry, I can not express it any better. Look at the example please. The answer, 50 is correct. I think 'How many ways' is good. Just search for any combination of 100, 50, 20 , 10 and 5 euro notes where the sum is 100 without repeating a combination. I hope it is clearer to you now.
Boris
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Re^5: How to generate restricted partitions of an integer
by thor (Priest) on Nov 11, 2004 at 17:27 UTC
    Okay...now I understand the problem. If I dust of my math degree...I think this could be solved with generating functions. Basically, calculate (x+ x**5+ x**10 + x**20 + x**50 + x**100)**100 and find the coeffieient of x**100 in the resulting polynomial. Easy...;)

    thor

    Feel the white light, the light within
    Be your own disciple, fan the sparks of will
    For all of us waiting, your kingdom will come

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