Solve hanging lantern problem: Difference between revisions

→‎fast analytical 1..N count only: replaced with more flexible version, now needs/copes with eg {1,3,3}
m (Markjreed moved page Lantern Problem to Solve hanging lantern problem: Better fit for naming conventions)
(→‎fast analytical 1..N count only: replaced with more flexible version, now needs/copes with eg {1,3,3})
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=={{header|Phix}}==
===fast analytical 1..N count only===
<!--<lang Phix>(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">include</span> <span style="color: #004080;">mpfr</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
<span style="color: #008080;">function</span> <span style="color: #000000;">get_lantern</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integersequence</span> <span style="color: #000000;">ns</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">mpz</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">z</span><span style="color: #0000FF;">,</span><span style="color: #000000;">f</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_initmpz_inits</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">mpz_bin_uiuimpz_fac_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">z</span><span style="color: #0000FF;">,</span><span style="color: #0000007060A8;">nsum</span><span style="color: #0000FF;">*(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1s</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">iffor</span> <span style="color: #000000;">nd</span> <span style="color: #0000FF008080;">>in</span> <span style="color: #000000;">1s</span> <span style="color: #008080;">thendo</span>
<span style="color: #7060A8;">mpz_mulmpz_fac_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">zf</span><span style="color: #0000FF;">,</span><span style="color: #000000;">zd</span><span style="color: #0000FF;">,</span><span style="color: #000000;">get_lantern</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>
<span style="color: #0080807060A8;">endmpz_fdiv_q</span><span style="color: #0000FF;">(</span><span style="color: #000000;">z</span><span style="color: #0000FF;">,</span><span style="color: #000000;">z</span><span style="color: #0000FF;">,</span><span style="color: #000000;">f</span><span style="color: #0080800000FF;">if)</span>
<span style="color: #008080;">returnend</span> <span style="color: #000000008080;">zfor</span>
<span style="color: #008080;">return</span> <span style="color: #7060A8;">mpz_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">z</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">8</span> <span style="color: #008080;">do</span>
<span style="color: #7060A8004080;">printfsequence</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1t</span> <span style="color: #0000FF;">,</span><span style="color: #008000;">"%v = %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">mpz_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">get_lantern</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">))})</span>
<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;">"%v = %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">get_lantern</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<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;">"%v = %s\n"</span><span style="color: #0000FF;">,{{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">},</span><span style="color: #000000;">get_lantern</span><span style="color: #0000FF;">({</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">})})</span>
<!--</lang>-->
{{out}}
<pre>
{1} = 1 1
{1,2} = 3 3
{1,2,3} = 60 60
{1,2,3,4} = 12600 12600
{1,2,3,4,5} = 37837800 37837800
{1,2,3,4,5,6} = 2053230379200 2053230379200
{1,2,3,4,5,6,7} = 2431106898187968000 2431106898187968000
{1,2,3,4,5,6,7,8} = 73566121315513295589120000 73566121315513295589120000
{1,3,3} = 140
</pre>
 
=== full solution ===
<!--<lang Phix>(phixonline)-->
7,820

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