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Peter Taylor
Peter Taylor
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CJam (25 24 22 2221 bytes)

{:X!X{X\2*)%!4*+~)4*\-}/z}

Online demoOnline demo

This runs in pseudoquasilinear time* and uses the statement from the OEIS that

Moebius transform is period 4 sequence [ 4, 0, -4, 0, ...]. - Michael Somos, Sep 17 2007

The input 0 is obviously a special case (Möbius tranforms and annihilators don't go well together), but ended up only costing one char.

* Pseudo- because it's quasilinear in the value of the input, not the size of the input; quasi because it does Theta(n) operations on integers of size on the order of n; a b-bit mod operation should take b lg b time, so overall this takes Theta(n lg n lg lg n) time.

CJam (25 24 22 bytes)

{:X!X{X\2*)%!4*+~)}/z}

Online demo

This runs in pseudoquasilinear time* and uses the statement from the OEIS that

Moebius transform is period 4 sequence [ 4, 0, -4, 0, ...]. - Michael Somos, Sep 17 2007

The input 0 is obviously a special case (Möbius tranforms and annihilators don't go well together), but ended up only costing one char.

* Pseudo- because it's quasilinear in the value of the input, not the size of the input; quasi because it does Theta(n) operations on integers of size on the order of n; a b-bit mod operation should take b lg b time, so overall this takes Theta(n lg n lg lg n) time.

CJam (25 24 22 21 bytes)

{:X!X{X\2*)%!4*\-}/z}

Online demo

This runs in pseudoquasilinear time* and uses the statement from the OEIS that

Moebius transform is period 4 sequence [ 4, 0, -4, 0, ...]. - Michael Somos, Sep 17 2007

The input 0 is obviously a special case (Möbius tranforms and annihilators don't go well together), but ended up only costing one char.

* Pseudo- because it's quasilinear in the value of the input, not the size of the input; quasi because it does Theta(n) operations on integers of size on the order of n; a b-bit mod operation should take b lg b time, so overall this takes Theta(n lg n lg lg n) time.

deleted 4 characters in body
Source Link
Peter Taylor
Peter Taylor
  • 43.1k
  • 4
  • 70
  • 169

CJam (25 24 2422 bytes)

{:X!X{X1$2*X\2*)%!W@#*4*+4*+~)}/z}

Online demoOnline demo

This runs in pseudoquasilinear time* and uses the statement from the OEIS that

Moebius transform is period 4 sequence [ 4, 0, -4, 0, ...]. - Michael Somos, Sep 17 2007

The input 0 is obviously a special case (Möbius tranforms and annihilators don't go well together), but ended up only costing one char.

* Pseudo- because it's quasilinear in the value of the input, not the size of the input; quasi because it does Theta(n) operations on integers of size on the order of n; a b-bit mod operation should take b lg b time, so overall this takes Theta(n lg n lg lg n) time.

CJam (25 24 bytes)

{:X!X{X1$2*)%!W@#*4*+}/}

Online demo

This runs in pseudoquasilinear time* and uses the statement from the OEIS that

Moebius transform is period 4 sequence [ 4, 0, -4, 0, ...]. - Michael Somos, Sep 17 2007

The input 0 is obviously a special case (Möbius tranforms and annihilators don't go well together), but ended up only costing one char.

* Pseudo- because it's quasilinear in the value of the input, not the size of the input; quasi because it does Theta(n) operations on integers of size on the order of n; a b-bit mod operation should take b lg b time, so overall this takes Theta(n lg n lg lg n) time.

CJam (25 24 22 bytes)

{:X!X{X\2*)%!4*+~)}/z}

Online demo

This runs in pseudoquasilinear time* and uses the statement from the OEIS that

Moebius transform is period 4 sequence [ 4, 0, -4, 0, ...]. - Michael Somos, Sep 17 2007

The input 0 is obviously a special case (Möbius tranforms and annihilators don't go well together), but ended up only costing one char.

* Pseudo- because it's quasilinear in the value of the input, not the size of the input; quasi because it does Theta(n) operations on integers of size on the order of n; a b-bit mod operation should take b lg b time, so overall this takes Theta(n lg n lg lg n) time.

added 16 characters in body
Source Link
Peter Taylor
Peter Taylor
  • 43.1k
  • 4
  • 70
  • 169

CJam (2525 24 bytes)

{:X!X{X1$2*)X1$%%!*[T4T-4]=+W@#*4*+}/}

Online demoOnline demo

This runs in pseudoquasilinear time* and uses the statement from the OEIS that

Moebius transform is period 4 sequence [ 4, 0, -4, 0, ...]. - Michael Somos, Sep 17 2007

The input 0 is obviously a special case (Möbius tranforms and annihilators don't go well together), but ended up only costing one char.

* Pseudo- because it's quasilinear in the value of the input, not the size of the input; quasi because it does Theta(n) operations on integers of size on the order of n; a b-bit mod operation should take b lg b time, so overall this takes Theta(n lg n lg lg n) time.

CJam (25 bytes)

{:X!X{)X1$%!*[T4T-4]=+}/}

Online demo

This runs in pseudoquasilinear time* and uses the statement from the OEIS that

Moebius transform is period 4 sequence [ 4, 0, -4, 0, ...]. - Michael Somos, Sep 17 2007

The input 0 is obviously a special case (Möbius tranforms and annihilators don't go well together), but ended up only costing one char.

* Pseudo- because it's quasilinear in the value of the input, not the size of the input; quasi because it does Theta(n) operations on integers of size on the order of n; a b-bit mod operation should take b lg b time, so overall this takes Theta(n lg n lg lg n) time.

CJam (25 24 bytes)

{:X!X{X1$2*)%!W@#*4*+}/}

Online demo

This runs in pseudoquasilinear time* and uses the statement from the OEIS that

Moebius transform is period 4 sequence [ 4, 0, -4, 0, ...]. - Michael Somos, Sep 17 2007

The input 0 is obviously a special case (Möbius tranforms and annihilators don't go well together), but ended up only costing one char.

* Pseudo- because it's quasilinear in the value of the input, not the size of the input; quasi because it does Theta(n) operations on integers of size on the order of n; a b-bit mod operation should take b lg b time, so overall this takes Theta(n lg n lg lg n) time.

Post Undeleted by Peter Taylor
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Source Link
Peter Taylor
Peter Taylor
  • 43.1k
  • 4
  • 70
  • 169
Post Deleted by Peter Taylor
Source Link
Peter Taylor
Peter Taylor
  • 43.1k
  • 4
  • 70
  • 169