Munchausen numbers: Difference between revisions

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→‎{{header|Phix}}: use pygments, handle 0 correctly, check full range, clearer output
(added Easylang)
m (→‎{{header|Phix}}: use pygments, handle 0 correctly, check full range, clearer output)
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=={{header|Phix}}==
<!--<syntaxhighlight lang="phix">(phixonline)-->
<!--</syntaxhighlight>-- lang="phix">
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
with javascript_semantics
<span style="color: #008080;">constant</span> <span style="color: #000000;">powers</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sq_power</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">))</span>
constant powers = sq_power(tagset(9),tagset(9))
<span style="color: #008080;">function</span> <span style="color: #000000;">munchausen</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
function munchausen(integer n)
<span style="color: #004080;">integer</span> <span style="color: #000000;">n0</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n</span>
integer n0 = n
<span style="color: #004080;">atom</span> <span style="color: #000000;">total</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
atom total = 0
<span style="color: #008080;">while</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">do</span>
while n!=0 do
<span style="color: #000000;">total</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">powers</span><span style="color: #0000FF;">[</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;">10</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
integer r = remainder(n,10)
<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">/</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)</span>
if r then total += powers[r] end if
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
n = floor(n/10)
<span style="color: #008080;">return</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">total</span><span style="color: #0000FF;">==</span><span style="color: #000000;">n0</span><span style="color: #0000FF;">)</span>
end while
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
return (total==n0)
end function
<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;">5000</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">munchausen</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span> <span style="color: #0000FF;">?</span><span style="color: #000000;">i</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
for m in tagset(5000) & 438579088 do
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
if munchausen(m) then ?m end if
<!--</syntaxhighlight>-->
end for
</syntaxhighlight>
{{out}}
Checking every number between 5,000 and 438,579,088 would take/waste a couple of minutes, and it wouldn't prove anything unless it went to 99,999,999,999 which would take a ''very'' long time!
<pre>
1
3435
438579088
</pre>
=== Alternative ===
<!--<syntaxhighlight lang="phix">(phixonline)-->
function munchausen(integer lo, maxlen)
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
string digits = sprint(lo)
<span style="color: #008080;">function</span> <span style="color: #000000;">munchausen</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">lo</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">hi</span><span style="color: #0000FF;">)</span>
sequence res = {}
<span style="color: #004080;">integer</span> <span style="color: #000000;">maxlen</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hi</span><span style="color: #0000FF;">))</span>
integer count = 0
<span style="color: #004080;">string</span> <span style="color: #000000;">digits</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lo</span><span style="color: #0000FF;">)</span>
while length(digits)<=maxlen do
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
count += 1
<span style="color: #008080;">while</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">digits</span><span style="color: #0000FF;">)<=</span><span style="color: #000000;">maxlen</span> <span style="color: #008080;">do</span>
atom tot = 0
<span style="color: #004080;">atom</span> <span style="color: #000000;">tot</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
for j=1 to length(digits) do
<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: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">digits</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
integer d = digits[j]-'0'
<span style="color: #004080;">integer</span> <span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">digits</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]-</span><span style="color: #008000;">'0'</span>
if d then tot += power(d,d) end if
<span style="color: #008080;">if</span> <span style="color: #000000;">d</span> <span style="color: #008080;">then</span> <span style="color: #000000;">tot</span> <span style="color: #0000FF;">+=</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">,</span><span style="color: #000000;">d</span><span style="color: #0000FF;">)</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>
if sort(sprint(tot))=digits then
<span style="color: #008080;">if</span> <span style="color: #7060A8;">sort</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tot</span><span style="color: #0000FF;">))=</span><span style="color: #000000;">digits</span> <span style="color: #008080;">then</span>
res &= tot
<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">tot</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
for j=length(digits) to 0 by -1 do
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">digits</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">to</span> <span style="color: #000000;">0</span> <span style="color: #008080;">by</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
if j=0 then
<span style="color: #008080;">if</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
digits = repeat('0',length(digits)+1)
<span style="color: #000000;">digits</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">digits</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">exit</span>
elsif digits[j]<'9' then
<span style="color: #008080;">elsif</span> <span style="color: #000000;">digits</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]<</span><span style="color: #008000;">'9'</span> <span style="color: #008080;">then</span>
digits[j..$] = digits[j]+1
<span style="color: #000000;">digits</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">..$]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">digits</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]+</span><span style="color: #000000;">1</span>
<span style="color: #008080;">exit</span>
end if
<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 while
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
return {count,res}
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
end function
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
atom t0 = time()
<span style="color: #004080;">atom</span> <span style="color: #000000;">t0</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time</span><span style="color: #0000FF;">()</span>
printf(1,"Munchausen 1..4 digits (%d combinations checked): %v\n",munchausen(1,4))
<span style="color: #0000FF;">?</span><span style="color: #000000;">munchausen</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5000</span><span style="color: #0000FF;">)</span>
printf(1,"All Munchausen, 0..11 digits (%d combinations): %v\n",munchausen(0,11))
<span style="color: #0000FF;">?</span><span style="color: #000000;">munchausen</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">500_000_000</span><span style="color: #0000FF;">)</span>
?elapsed(time()-t0)
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">elapsed</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">time</span><span style="color: #0000FF;">()-</span><span style="color: #000000;">t0</span><span style="color: #0000FF;">)</span>
<!--</syntaxhighlight>-->
{{out}}
<pre>
Munchausen 1..4 digits (999 combinations checked): {1,3435}
{1,3435}
All Munchausen, 0..11 digits (352715 combinations): {0,1,3435,438579088}
"01.3s1s"
</pre>
 
7,820

edits