Sailors, coconuts and a monkey problem: Difference between revisions
Sailors, coconuts and a monkey problem (view source)
Revision as of 15:50, 4 April 2021
, 3 years ago→{{header|Phix}}: added syntax colouring the hard way
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The morning pile must be a multiple of sailors, so this only tries multiples of sailors! Needed an ugly kludge for solve(1),
the limit of 1 billion suffices for solve(9), above that gets run-time type check errors as capacity of ints are blown anyway.
<!--<lang Phix>
<span style="color: #008080;">procedure</span> <span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">sailors</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">m</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">sm1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sailors</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">sm1</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #000080;font-style:italic;">-- edge condition for solve(1) [ avoid /0 ]</span>
<span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sailors</span>
<span style="color: #008080;">else</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">sailors</span> <span style="color: #008080;">to</span> <span style="color: #000000;">1_000_000_000</span> <span style="color: #008080;">by</span> <span style="color: #000000;">sailors</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- morning pile divisible by #sailors</span>
<span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">sailors</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- see if all of the sailors could..</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">sm1</span><span style="color: #0000FF;">)!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #000080;font-style:italic;">-- ..have pushed together sm1 piles</span>
<span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> <span style="color: #000080;font-style:italic;">-- (no: try a higher n)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sailors</span><span style="color: #0000FF;">*</span><span style="color: #000000;">m</span><span style="color: #0000FF;">/</span><span style="color: #000000;">sm1</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span> <span style="color: #000080;font-style:italic;">-- add sailor j's stash and one for the monkey</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">m</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</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;">"Solution with %d sailors: %d\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">sailors</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">sailors</span> <span style="color: #008080;">do</span>
<span style="color: #000000;">m</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">1</span> <span style="color: #000080;font-style:italic;">-- one for the monkey</span>
<span style="color: #000000;">m</span> <span style="color: #0000FF;">/=</span> <span style="color: #000000;">sailors</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;">"Sailor #%d takes %d, giving 1 to the monkey and leaving %d\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">*</span><span style="color: #000000;">sm1</span><span style="color: #0000FF;">})</span>
<span style="color: #000000;">m</span> <span style="color: #0000FF;">*=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">sm1</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;">"In the morning each sailor gets %d nuts\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">/</span><span style="color: #000000;">sailors</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #000000;">6</span><span style="color: #0000FF;">)</span>
<!--</lang>-->
{{out}}
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