Data update
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Ingy döt Net
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7735 changed files with 38060 additions and 199180 deletions
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@ -1,86 +1,81 @@
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(phixonline)-->
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<span style="color: #008080;">with</span> <span style="color: #000000;">javascript_semantics</span>
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<span style="color: #008080;">enum</span> <span style="color: #000000;">SUB</span><span style="color: #0000FF;">=-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">NOP</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ADD</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span>
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with javascript_semantics
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enum SUB=-1, NOP=0, ADD=1
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<span style="color: #008080;">function</span> <span style="color: #000000;">evaluate</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">integer</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: #000000;">tmp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">op</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">ADD</span>
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<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;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]=</span><span style="color: #000000;">NOP</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">tmp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tmp</span><span style="color: #0000FF;">*</span><span style="color: #000000;">10</span><span style="color: #0000FF;">+</span><span style="color: #000000;">i</span>
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<span style="color: #008080;">else</span>
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<span style="color: #000000;">res</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">*</span><span style="color: #000000;">tmp</span>
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<span style="color: #000000;">tmp</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">i</span>
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<span style="color: #000000;">op</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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<span style="color: #008080;">return</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">op</span><span style="color: #0000FF;">*</span><span style="color: #000000;">tmp</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
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function evaluate(sequence s)
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integer res = 0, tmp = 0, op = ADD
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for i=1 to length(s) do
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if s[i]=NOP then
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tmp = tmp*10+i
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else
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res += op*tmp
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tmp = i
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op = s[i]
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end if
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end for
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return res + op*tmp
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end function
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<span style="color: #008080;">procedure</span> <span style="color: #000000;">show</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">string</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
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<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;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]!=</span><span style="color: #000000;">NOP</span> <span style="color: #008080;">then</span>
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<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;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #000000;">res</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">'0'</span><span style="color: #0000FF;">+</span><span style="color: #000000;">i</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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<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;">"%s = %d\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">evaluate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)})</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
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procedure show(sequence s)
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string res = ""
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for i=1 to length(s) do
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if s[i]!=NOP then
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res &= ','-s[i]
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end if
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res &= '0'+i
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end for
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printf(1,"%s = %d\n",{res,evaluate(s)})
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end procedure
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<span style="color: #000080;font-style:italic;">-- Logically this intersperses -/nop/+ between each digit, but you do not actually need the digit.</span>
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">SUB</span><span style="color: #0000FF;">,</span><span style="color: #000000;">9</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (==> ..nop+add*8)</span>
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-- Logically this intersperses -/nop/+ between each digit, but you do not actually need the digit.
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sequence s = repeat(SUB,9) -- (==> ..nop+add*8)
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<span style="color: #004080;">bool</span> <span style="color: #000000;">done</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">maxl</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">maxr</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">count</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
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<span style="color: #008080;">while</span> <span style="color: #008080;">not</span> <span style="color: #000000;">done</span> <span style="color: #008080;">do</span>
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<span style="color: #000000;">count</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">r</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">evaluate</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">getd_index</span><span style="color: #0000FF;">(</span><span style="color: #000000;">r</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">solns</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">?{}:</span><span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">getd_by_index</span><span style="color: #0000FF;">(</span><span style="color: #000000;">k</span><span style="color: #0000FF;">)))</span>
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<span style="color: #000000;">solns</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solns</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">))</span>
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<span style="color: #7060A8;">setd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">r</span><span style="color: #0000FF;">,</span><span style="color: #000000;">solns</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">r</span><span style="color: #0000FF;">></span><span style="color: #000000;">0</span> <span style="color: #008080;">and</span> <span style="color: #000000;">maxl</span><span style="color: #0000FF;"><</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solns</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">maxl</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solns</span><span style="color: #0000FF;">)</span>
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<span style="color: #000000;">maxr</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">r</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">to</span> <span style="color: #000000;">1</span> <span style="color: #008080;">by</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">and</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]=</span><span style="color: #000000;">NOP</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">done</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">true</span>
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<span style="color: #008080;">exit</span>
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<span style="color: #008080;">elsif</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]!=</span><span style="color: #000000;">ADD</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
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<span style="color: #008080;">exit</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">SUB</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
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bool done = false
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integer maxl = 0, maxr, count = 0
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while not done do
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count += 1
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integer r = evaluate(s), k = getd_index(r)
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sequence solns = iff(k=0?{}:deep_copy(getd_by_index(k)))
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solns = append(solns,deep_copy(s))
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setd(r,solns)
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if r>0 and maxl<length(solns) then
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maxl = length(solns)
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maxr = r
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end if
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for i=length(s) to 1 by -1 do
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if i=1 and s[i]=NOP then
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done = true
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exit
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elsif s[i]!=ADD then
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s[i] += 1
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exit
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end if
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s[i] = SUB
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end for
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end while
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<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;">"%d solutions considered (dictionary size: %d)\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">count</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">dict_size</span><span style="color: #0000FF;">()})</span>
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printf(1,"%d solutions considered (dictionary size: %d)\n",{count,dict_size()})
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">s100</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">getd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">100</span><span style="color: #0000FF;">)</span>
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<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;">"There are %d sums to 100:\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s100</span><span style="color: #0000FF;">)})</span>
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<span style="color: #7060A8;">papply</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s100</span><span style="color: #0000FF;">,</span><span style="color: #000000;">show</span><span style="color: #0000FF;">)</span>
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sequence s100 = getd(100)
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printf(1,"There are %d sums to 100:\n",{length(s100)})
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papply(s100,show)
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<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;">"The positive sum of %d has the maximum number of solutions: %d\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">maxr</span><span style="color: #0000FF;">,</span><span style="color: #000000;">maxl</span><span style="color: #0000FF;">})</span>
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printf(1,"The positive sum of %d has the maximum number of solutions: %d\n",{maxr,maxl})
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<span style="color: #004080;">integer</span> <span style="color: #000000;">prev</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
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<span style="color: #008080;">function</span> <span style="color: #000000;">missing</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">key</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000080;font-style:italic;">/*data*/</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000080;font-style:italic;">/*pkey*/</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">object</span> <span style="color: #000080;font-style:italic;">/*user_data=-2*/</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">key</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">prev</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
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<span style="color: #008080;">return</span> <span style="color: #000000;">0</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #000000;">prev</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">key</span>
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<span style="color: #008080;">return</span> <span style="color: #000000;">1</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
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<span style="color: #7060A8;">traverse_dict_partial_key</span><span style="color: #0000FF;">(</span><span style="color: #000000;">missing</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
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<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;">"The lowest positive sum that cannot be expressed: %d\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">prev</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">})</span>
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integer prev = 0
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function missing(integer key, sequence /*data*/, integer /*pkey*/, object /*user_data=-2*/)
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if key!=prev+1 then
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return 0
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end if
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prev = key
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return 1
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end function
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traverse_dict_partial_key(missing,1)
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printf(1,"The lowest positive sum that cannot be expressed: %d\n",{prev+1})
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">highest</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
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<span style="color: #008080;">function</span> <span style="color: #000000;">top10</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">key</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000080;font-style:italic;">/*data*/</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">object</span> <span style="color: #000080;font-style:italic;">/*user_data*/</span><span style="color: #0000FF;">)</span>
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<span style="color: #000000;">highest</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">key</span>
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<span style="color: #008080;">return</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">highest</span><span style="color: #0000FF;">)<</span><span style="color: #000000;">10</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
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<span style="color: #000080;font-style:italic;">--DEV named params on builtins need pre-loading...:
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--traverse_dict(top10,rev:=1)</span>
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<span style="color: #7060A8;">traverse_dict</span><span style="color: #0000FF;">(</span><span style="color: #000000;">top10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">)</span>
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<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;">"The 10 highest sums: %v\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">highest</span><span style="color: #0000FF;">})</span>
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<!--
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sequence highest = {}
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function top10(integer key, sequence /*data*/, object /*user_data*/)
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highest &= key
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return length(highest)<10
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end function
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traverse_dict(top10,rev:=1)
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printf(1,"The 10 highest sums: %v\n",{highest})
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