Smith numbers: Difference between revisions
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Not a robot (talk | contribs) (Add CLU) |
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9760 9778 9840 9843 9849 9861 9880 9895 9924 9942 9968 9975 9985) |
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</pre> |
</pre> |
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=={{header|CLU}}== |
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<lang clu>% Get all digits of a number |
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digits = iter (n: int) yields (int) |
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while n > 0 do |
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yield(n // 10) |
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n := n / 10 |
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end |
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end digits |
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% Get all prime factors of a number |
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prime_factors = iter (n: int) yields (int) |
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% Take factors of 2 out first (the compiler should optimize) |
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while n // 2 = 0 do yield(2) n := n/2 end |
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% Next try odd factors |
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fac: int := 3 |
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while fac <= n do |
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while n // fac = 0 do |
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yield(fac) |
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n := n/fac |
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end |
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fac := fac + 2 |
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end |
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end prime_factors |
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% See if a number is a Smith number |
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smith = proc (n: int) returns (bool) |
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dsum: int := 0 |
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fac_dsum: int := 0 |
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% Find the sum of the digits |
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for d: int in digits(n) do dsum := dsum + d end |
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% Find the sum of the digits of all factors |
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nfac: int := 0 |
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for fac: int in prime_factors(n) do |
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nfac := nfac + 1 |
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for d: int in digits(fac) do fac_dsum := fac_dsum + d end |
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end |
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% The number is a Smith number if these two are equal, |
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% and the number is not prime (has more than one factor) |
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return(fac_dsum = dsum cand nfac > 1) |
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end smith |
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% Yield all Smith numbers up to a limit |
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smiths = iter (max: int) yields (int) |
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for i: int in int$from_to(1, max-1) do |
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if smith(i) then yield(i) end |
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end |
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end smiths |
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% Display all Smith numbers below 10,000 |
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start_up = proc () |
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po: stream := stream$primary_output() |
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count: int := 0 |
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for s: int in smiths(10000) do |
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stream$putright(po, int$unparse(s), 5) |
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count := count + 1 |
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if count // 16 = 0 then stream$putl(po, "") end |
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end |
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stream$putl(po, "\nFound " || int$unparse(count) || " Smith numbers.") |
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end start_up</lang> |
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{{out}} |
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<pre> 4 22 27 58 85 94 121 166 202 265 274 319 346 355 378 382 |
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391 438 454 483 517 526 535 562 576 588 627 634 636 645 648 654 |
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663 666 690 706 728 729 762 778 825 852 861 895 913 915 922 958 |
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985 1086 1111 1165 1219 1255 1282 1284 1376 1449 1507 1581 1626 1633 1642 1678 |
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1736 1755 1776 1795 1822 1842 1858 1872 1881 1894 1903 1908 1921 1935 1952 1962 |
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1966 2038 2067 2079 2155 2173 2182 2218 2227 2265 2286 2326 2362 2366 2373 2409 |
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2434 2461 2475 2484 2515 2556 2576 2578 2583 2605 2614 2679 2688 2722 2745 2751 |
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2785 2839 2888 2902 2911 2934 2944 2958 2964 2965 2970 2974 3046 3091 3138 3168 |
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3174 3226 3246 3258 3294 3345 3366 3390 3442 3505 3564 3595 3615 3622 3649 3663 |
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3690 3694 3802 3852 3864 3865 3930 3946 3973 4054 4126 4162 4173 4185 4189 4191 |
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4198 4209 4279 4306 4369 4414 4428 4464 4472 4557 4592 4594 4702 4743 4765 4788 |
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4794 4832 4855 4880 4918 4954 4959 4960 4974 4981 5062 5071 5088 5098 5172 5242 |
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5248 5253 5269 5298 5305 5386 5388 5397 5422 5458 5485 5526 5539 5602 5638 5642 |
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5674 5772 5818 5854 5874 5915 5926 5935 5936 5946 5998 6036 6054 6084 6096 6115 |
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6171 6178 6187 6188 6252 6259 6295 6315 6344 6385 6439 6457 6502 6531 6567 6583 |
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6585 6603 6684 6693 6702 6718 6760 6816 6835 6855 6880 6934 6981 7026 7051 7062 |
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7068 7078 7089 7119 7136 7186 7195 7227 7249 7287 7339 7402 7438 7447 7465 7503 |
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7627 7674 7683 7695 7712 7726 7762 7764 7782 7784 7809 7824 7834 7915 7952 7978 |
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8005 8014 8023 8073 8077 8095 8149 8154 8158 8185 8196 8253 8257 8277 8307 8347 |
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8372 8412 8421 8466 8518 8545 8568 8628 8653 8680 8736 8754 8766 8790 8792 8851 |
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8864 8874 8883 8901 8914 9015 9031 9036 9094 9166 9184 9193 9229 9274 9276 9285 |
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9294 9296 9301 9330 9346 9355 9382 9386 9387 9396 9414 9427 9483 9522 9535 9571 |
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9598 9633 9634 9639 9648 9657 9684 9708 9717 9735 9742 9760 9778 9840 9843 9849 |
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9861 9880 9895 9924 9942 9968 9975 9985 |
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Found 376 Smith numbers.</pre> |
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=={{header|D}}== |
=={{header|D}}== |