Lah numbers: Difference between revisions
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Maximum value from the L(100, *) row: |
Maximum value from the L(100, *) row: |
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44519005448993144810881324947684737529186447692709328597242209638906324913313742508392928375354932241404408343800007105650554669129521241784320000000000000000000000</pre> |
44519005448993144810881324947684737529186447692709328597242209638906324913313742508392928375354932241404408343800007105650554669129521241784320000000000000000000000</pre> |
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=={{header|Dyalect}}== |
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<lang dyalect>func fact(n) => |
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n is 0 ? 1 : (n^-1..<0).Fold(1, (acc, val) => acc * val) |
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func lah(n, k) { |
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return fact(n) when k is 1 |
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return 1 when k == n |
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return 0 when k > n || k < 1 || n < 1 |
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(fact(n) * fact(n - 1)) / (fact(k) * fact(k - 1)) / fact(n - k) |
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} |
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print("Unsigned Lah numbers: L(n, k):"); |
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print("n/k ", terminator: ""); |
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(0..12).ForEach(i => i >> "{0,10} ".Format >> print(terminator: "")) |
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print("") |
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(0..12).ForEach(row => { |
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row >> "{0,-3}".Format >> print(terminator: "") |
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(0..row).ForEach(i => lah(row, i) >> "{0,11}".Format >> print(terminator: "")) |
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print("") |
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})</lang> |
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{{out}} |
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<pre>Unsigned Lah numbers: L(n, k): |
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n/k 0 1 2 3 4 5 6 7 8 9 10 11 12 |
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0 1 |
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1 0 1 |
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2 0 2 1 |
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3 0 6 6 1 |
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4 0 24 36 12 1 |
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5 0 120 240 120 20 1 |
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6 0 720 1800 1200 300 30 1 |
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7 0 5040 15120 12600 4200 630 42 1 |
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8 0 40320 141120 141120 58800 11760 1176 56 1 |
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9 0 362880 1451520 1693440 846720 211680 28224 2016 72 1 |
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10 0 3628800 16329600 21772800 12700800 3810240 635040 60480 3240 90 1 |
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11 0 39916800 199584000 299376000 199584000 69854400 13970880 1663200 118800 4950 110 1 |
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12 0 479001600 2634508800 4390848000 3293136000 1317254400 307359360 43908480 3920400 217800 7260 132 1</pre> |
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=={{header|Factor}}== |
=={{header|Factor}}== |