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say partitions(6666) # very fast
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23
Task/Partition-function-P/Sidef/partition-function-p-2.sidef
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Task/Partition-function-P/Sidef/partition-function-p-2.sidef
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func partitionsP(n) {
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func (n) is cached {
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n <= 1 && return n
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var a = sum(1..floor((sqrt(24*n + 1) + 1)/6), {|k|
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(-1)**(k-1) * __FUNC__(n - ((k*(3*k - 1)) >> 1))
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})
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var b = sum(1..ceil((sqrt(24*n + 1) - 7)/6), {|k|
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(-1)**(k-1) * __FUNC__(n - ((k*(3*k + 1)) >> 1))
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})
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a + b
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}(n+1)
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}
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var t = Time.micro
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say partitionsP.map(0..25).join(' ')
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say partitionsP(6666)
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say ("Took %.4f seconds" % Time.micro-t)
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