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Sailors, coconuts and a monkey problem: Difference between revisions

m
→‎{{header|Phix}}: added syntax colouring the hard way
m (→‎{{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>procedure solve(integer sailorsphixonline)-->
<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>
integer m, sm1 = sailors-1
<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>
if sm1=0 then -- edge condition for solve(1) [ avoid /0 ]
<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>
m = sailors
<span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sailors</span>
else
<span style="color: #008080;">else</span>
for n=sailors to 1_000_000_000 by sailors do -- morning pile divisible by #sailors
<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>
m = n
<span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n</span>
for j=1 to sailors do -- see if all of the sailors could..
<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>
if remainder(m,sm1)!=0 then -- ..have pushed together sm1 piles
<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>
m = 0 -- (no: try a higher n)
<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>
exit
end if <span style="color: #008080;">exit</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
m = sailors*m/sm1+1 -- add sailor j's stash and one for the monkey
<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>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
if m!=0 then exit end if
<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>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
printf(1,"Solution with %d sailors: %d\n",{sailors,m})
<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>
for i=1 to sailors do
<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>
m -= 1 -- one for the monkey
<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>
m /= sailors
<span style="color: #000000;">m</span> <span style="color: #0000FF;">/=</span> <span style="color: #000000;">sailors</span>
printf(1,"Sailor #%d takes %d, giving 1 to the monkey and leaving %d\n",{i,m,m*sm1})
<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>
m *= (sm1)
<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>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
printf(1,"In the morning each sailor gets %d nuts\n",m/sailors)
<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>
end procedure
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
 
solve(5)
<span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5</span><span style="color: #0000FF;">)</span>
solve(6)</lang>
<span style="color: #000000;">solve</span><span style="color: #0000FF;">(</span><span style="color: #000000;">6</span><span style="color: #0000FF;">)</span>
<!--</lang>-->
{{out}}
<pre>
7,805

edits

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