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Task/Weird-numbers/Mathematica/weird-numbers.math
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30
Task/Weird-numbers/Mathematica/weird-numbers.math
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ClearAll[WeirdNumberQ, HasSumQ]
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HasSumQ[n_Integer, xs_List] := HasSumHelperQ[n, ReverseSort[xs]]
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HasSumHelperQ[n_Integer, xs_List] := Module[{h, t},
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If[Length[xs] > 0,
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h = First[xs];
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t = Drop[xs, 1];
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If[n < h,
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HasSumHelperQ[n, t]
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,
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n == h \[Or] HasSumHelperQ[n - h, t] \[Or] HasSumHelperQ[n, t]
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]
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,
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False
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]
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]
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WeirdNumberQ[n_Integer] := Module[{divs},
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divs = Most[Divisors[n]];
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If[Total[divs] > n,
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! HasSumQ[n, divs]
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,
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False
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]
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]
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r = {};
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n = 0;
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While[
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Length[r] < 25,
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If[WeirdNumberQ[++n], AppendTo[r, n]]
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]
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Print[r]
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