Zumkeller numbers: Difference between revisions
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=={{header|Phix}}== |
=={{header|Phix}}== |
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{{trans|Go}} |
{{trans|Go}} |
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<lang Phix> |
<!--<lang Phix>(phixonline)--> |
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<span style="color: #008080;">function</span> <span style="color: #000000;">isPartSum</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">f</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">)</span> |
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if t=0 then return true end if |
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<span style="color: #008080;">if</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #004600;">true</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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if l=0 then return false end if |
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<span style="color: #008080;">if</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #004600;">false</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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integer last = f[l] |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">last</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">f</span><span style="color: #0000FF;">[</span><span style="color: #000000;">l</span><span style="color: #0000FF;">]</span> |
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return (t>=last and isPartSum(f, l-1, t-last)) |
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<span style="color: #008080;">return</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">>=</span><span style="color: #000000;">last</span> <span style="color: #008080;">and</span> <span style="color: #000000;">isPartSum</span><span style="color: #0000FF;">(</span><span style="color: #000000;">f</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">-</span><span style="color: #000000;">last</span><span style="color: #0000FF;">))</span> |
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or isPartSum(f, l-1, t) |
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<span style="color: #008080;">or</span> <span style="color: #000000;">isPartSum</span><span style="color: #0000FF;">(</span><span style="color: #000000;">f</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">l</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">)</span> |
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end function |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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function isZumkeller(integer n) |
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<span style="color: #008080;">function</span> <span style="color: #000000;">isZumkeller</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span> |
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sequence f = factors(n,1) |
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">f</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">factors</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> |
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integer t = sum(f) |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #000000;">f</span><span style="color: #0000FF;">)</span> |
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-- an odd sum cannot be split into two equal sums |
<span style="color: #000080;font-style:italic;">-- an odd sum cannot be split into two equal sums</span> |
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if remainder(t,2)=1 then return false end if |
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #004600;">false</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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-- if n is odd use 'abundant odd number' optimization |
<span style="color: #000080;font-style:italic;">-- if n is odd use 'abundant odd number' optimization</span> |
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if remainder(n,2)=1 then |
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> |
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integer abundance := t - 2*n |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">abundance</span> <span style="color: #0000FF;">:=</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">-</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">*</span><span style="color: #000000;">n</span> |
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return abundance>0 and remainder(abundance,2)=0 |
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<span style="color: #008080;">return</span> <span style="color: #000000;">abundance</span><span style="color: #0000FF;">></span><span style="color: #000000;">0</span> <span style="color: #008080;">and</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">abundance</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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-- if n and t both even check for any partition of t/2 |
<span style="color: #000080;font-style:italic;">-- if n and t both even check for any partition of t/2</span> |
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return isPartSum(f, length(f), t/2) |
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<span style="color: #008080;">return</span> <span style="color: #000000;">isPartSum</span><span style="color: #0000FF;">(</span><span style="color: #000000;">f</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">f</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span> |
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end function |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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sequence tests = {{220,1,0,20,"%3d "}, |
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">tests</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">220</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">20</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%3d "</span><span style="color: #0000FF;">},</span> |
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{40,2,0,10,"%5d "}, |
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<span style="color: #0000FF;">{</span><span style="color: #000000;">40</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%5d "</span><span style="color: #0000FF;">},</span> |
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{40,2,5,8,"%7d "}} |
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<span style="color: #0000FF;">{</span><span style="color: #000000;">40</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%7d "</span><span style="color: #0000FF;">}}</span> |
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integer lim, step, rem, cr; string fmt |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">lim</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">step</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">rem</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">cr</span><span style="color: #0000FF;">;</span> <span style="color: #004080;">string</span> <span style="color: #000000;">fmt</span> |
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for t=1 to length(tests) do |
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<span style="color: #008080;">for</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> |
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{lim, step, rem, cr, fmt} = tests[t] |
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<span style="color: #0000FF;">{</span><span style="color: #000000;">lim</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">step</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">rem</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">cr</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">fmt</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">t</span><span style="color: #0000FF;">]</span> |
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string odd = iff(step=1?"":"odd "), |
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<span style="color: #004080;">string</span> <span style="color: #000000;">odd</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">step</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span><span style="color: #0000FF;">?</span><span style="color: #008000;">""</span><span style="color: #0000FF;">:</span><span style="color: #008000;">"odd "</span><span style="color: #0000FF;">),</span> |
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wch = iff(rem=0?"":"which don't end in 5 ") |
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<span style="color: #000000;">wch</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">rem</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">?</span><span style="color: #008000;">""</span><span style="color: #0000FF;">:</span><span style="color: #008000;">"which don't end in 5 "</span><span style="color: #0000FF;">)</span> |
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printf(1,"The first %d %sZumkeller numbers %sare:\n",{lim,odd,wch}) |
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<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"The first %d %sZumkeller numbers %sare:\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">lim</span><span style="color: #0000FF;">,</span><span style="color: #000000;">odd</span><span style="color: #0000FF;">,</span><span style="color: #000000;">wch</span><span style="color: #0000FF;">})</span> |
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integer i = step+1, count = 0 |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">i</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">step</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">count</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> |
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while count<lim do |
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<span style="color: #008080;">while</span> <span style="color: #000000;">count</span><span style="color: #0000FF;"><</span><span style="color: #000000;">lim</span> <span style="color: #008080;">do</span> |
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if (rem=0 or remainder(i,10)!=rem) |
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<span style="color: #008080;">if</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">rem</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">or</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)!=</span><span style="color: #000000;">rem</span><span style="color: #0000FF;">)</span> |
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and isZumkeller(i) then |
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<span style="color: #008080;">and</span> <span style="color: #000000;">isZumkeller</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> |
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printf(1,fmt,i) |
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<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fmt</span><span style="color: #0000FF;">,</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)</span> |
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count += 1 |
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<span style="color: #000000;">count</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span> |
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if remainder(count,cr)=0 then puts(1,"\n") end if |
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">count</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cr</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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i += step |
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<span style="color: #000000;">i</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">step</span> |
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end while |
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span> |
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printf(1,"\n") |
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<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">)</span> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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