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Partition an integer x into n primes: Difference between revisions

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Partition an integer x into n primes (view source)

Revision as of 20:57, 19 March 2022

8,273 bytes added ,  2 years ago
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→‎{{header|Phix}}: syntax coloured
m (→‎{{header|Phix}}: syntax coloured)
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=={{header|Phix}}==
<!--<lang Phix>function partition(integer v, n, idx=0phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
if n=1 then
<span style="color: #7060A8;">requires</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"1.0.2"</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (join(fmt))</span>
return iff(is_prime(v)?{v}:0)
<span style="color: #008080;">function</span> <span style="color: #000000;">partition</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
end if
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
object res
<span style="color: #008080;">return</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">is_prime</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">)?{</span><span style="color: #000000;">v</span><span style="color: #0000FF;">}:</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
while 1 do
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
idx += 1
<span style="color: #008080;">while</span> <span style="color: #004600;">true</span> <span style="color: #008080;">do</span>
integer np = get_prime(idx)
<span style="color: #000000;">idx</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
if np>=floor(v/2) then exit end if
<span style="color: #004080;">integer</span> <span style="color: #000000;">np</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">get_prime</span><span style="color: #0000FF;">(</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">)</span>
res = partition(v-np, n-1, idx)
<span style="color: #008080;">if</span> <span style="color: #000000;">np</span><span style="color: #0000FF;">>=</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</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>
if sequence(res) then return np&res end if
<span style="color: #004080;">object</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">partition</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">-</span><span style="color: #000000;">np</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: #000000;">idx</span><span style="color: #0000FF;">)</span>
end while
<span style="color: #008080;">if</span> <span style="color: #004080;">sequence</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
return 0
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">prepend</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">np</span><span style="color: #0000FF;">)</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
constant tests = {{99809, 1},
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
{18, 2},
<span style="color: #008080;">return</span> <span style="color: #000000;">0</span>
{19, 3},
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
{20, 4},
{2017, 24},
<span style="color: #008080;">constant</span> <span style="color: #000000;">tests</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">99809</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">},</span>
{22699, 1},
<span style="color: #0000FF;">{</span><span style="color: #000000;">18</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},</span>
{22699, 2},
<span style="color: #0000FF;">{</span><span style="color: #000000;">19</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">},</span>
{22699, 3},
<span style="color: #0000FF;">{</span><span style="color: #000000;">20</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">},</span>
{22699, 4},
<span style="color: #0000FF;">{</span><span style="color: #000000;">2017</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">24</span><span style="color: #0000FF;">},</span>
{40355, 3}}
<span style="color: #0000FF;">{</span><span style="color: #000000;">22699</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">},</span>
 
<span style="color: #0000FF;">{</span><span style="color: #000000;">22699</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">},</span>
for i=1 to length(tests) do
<span style="color: #0000FF;">{</span><span style="color: #000000;">22699</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">},</span>
integer {v,n} = tests[i]
<span style="color: #0000FF;">{</span><span style="color: #000000;">22699</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">},</span>
object res = partition(v,n)
<span style="color: #0000FF;">{</span><span style="color: #000000;">40355</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">3</span><span style="color: #0000FF;">}}</span>
res = iff(res=0?"not possible":substitute(trim(sprint(res),"{}"),","," + "))
printf(1,"Partition %d into %d primes: %s\n",{v,n,res})
<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: #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>
end for</lang>▼
<span style="color: #004080;">integer</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">v</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</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;">i</span><span style="color: #0000FF;">]</span>
<span style="color: #004080;">object</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">partition</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">?</span><span style="color: #008000;">"not possible"</span><span style="color: #0000FF;">:</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" + "</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fmt</span><span style="color: #0000FF;">:=</span><span style="color: #008000;">"%d"</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;">"Partition %d into %d primes: %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">v</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
▲end for<!--</lang>-->
{{out}}
<pre>
Petelomax
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