Count the coins: Difference between revisions
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(+Maple) |
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ways(100000,[1,5,10,25,50,100]); |
ways(100000,[1,5,10,25,50,100]); |
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# 13398445413854501</lang> |
# 13398445413854501</lang> |
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A faster implementation. |
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<lang maple>ways2:=proc(amount,purse) |
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local a,n,k; |
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a:=Array(1..amount,0); |
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for k in purse do |
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for n from k to amount do |
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if n=k then |
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a[n]++; |
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else |
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a[n]+=a[n-k] |
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fi |
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od |
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od; |
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a[-1] |
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end: |
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ways2(100,[1,5,10,25]); |
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# 242 |
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ways2(1000,[1,5,10,25,50,100]); |
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# 2103596 |
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ways2(10000,[1,5,10,25,50,100]); |
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# 139946140451 |
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ways2(100000,[1,5,10,25,50,100]); |
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# 13398445413854501 |
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ways2(1000000,[1,5,10,25,50,100]); |
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# 1333983445341383545001</lang> |
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=={{header|Mathematica}} / {{header|Wolfram Language}}== |
=={{header|Mathematica}} / {{header|Wolfram Language}}== |
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