Untouchable numbers: Difference between revisions
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=={{header|Phix}}== |
=={{header|Phix}}== |
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<!--<lang Phix>(phixonline)--> |
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<lang Phix>constant limz = {1,1,8,9,18,64} -- found by experiment |
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<span style="color: #008080;">constant</span> <span style="color: #000000;">limz</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">,</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span><span style="color: #000000;">18</span><span style="color: #0000FF;">,</span><span style="color: #000000;">64</span><span style="color: #0000FF;">}</span> <span style="color: #000080;font-style:italic;">-- found by experiment</span> |
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procedure untouchable(integer n, cols=0, tens=0) |
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<span style="color: #008080;">procedure</span> <span style="color: #000000;">untouchable</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">cols</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">tens</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> |
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atom t0 = time(), t1 = t0+1 |
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<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> <span style="color: #000000;">t1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">t0</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span> |
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bool tell = n>0 |
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<span style="color: #004080;">bool</span> <span style="color: #000000;">tell</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">></span><span style="color: #000000;">0</span> |
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n = abs(n) |
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<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span> |
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sequence sums = repeat(0,n+3) |
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">sums</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">+</span><span style="color: #000000;">3</span><span style="color: #0000FF;">)</span> |
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for i=1 to n do |
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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: #000000;">n</span> <span style="color: #008080;">do</span> |
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integer p = get_prime(i) |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">p</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">get_prime</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)</span> |
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if p>n then exit end if |
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<span style="color: #008080;">if</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">></span><span style="color: #000000;">n</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> |
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sums[p+1] = 1 |
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<span style="color: #000000;">sums</span><span style="color: #0000FF;">[</span><span style="color: #000000;">p</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;">1</span> |
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sums[p+3] = 1 |
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<span style="color: #000000;">sums</span><span style="color: #0000FF;">[</span><span style="color: #000000;">p</span><span style="color: #0000FF;">+</span><span style="color: #000000;">3</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span> |
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end for |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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sums[5] = 0 |
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<span style="color: #000000;">sums</span><span style="color: #0000FF;">[</span><span style="color: #000000;">5</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> |
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integer m = floor(log10(n)) |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">log10</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">))</span> |
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integer lim = limz[m]*n |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">lim</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">limz</span><span style="color: #0000FF;">[</span><span style="color: #000000;">m</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">n</span> |
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for j=2 to lim do |
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<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span> <span style="color: #008080;">to</span> <span style="color: #000000;">lim</span> <span style="color: #008080;">do</span> |
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integer y = sum(factors(j,-1)) |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">y</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">factors</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: #0000FF;">))</span> |
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if y<=n then |
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<span style="color: #008080;">if</span> <span style="color: #000000;">y</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">n</span> <span style="color: #008080;">then</span> |
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sums[y] = 1 |
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<span style="color: #000000;">sums</span><span style="color: #0000FF;">[</span><span style="color: #000000;">y</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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if time()>t1 then |
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">platform</span><span style="color: #0000FF;">()!=</span><span style="color: #004600;">JS</span> <span style="color: #008080;">and</span> <span style="color: #7060A8;">time</span><span style="color: #0000FF;">()></span><span style="color: #000000;">t1</span> <span style="color: #008080;">then</span> |
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progress("j:%,d/%,d (%3.2f%%)\r",{j,lim,(j/lim)*100}) |
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<span style="color: #7060A8;">progress</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"j:%,d/%,d (%3.2f%%)\r"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">j</span><span style="color: #0000FF;">,</span><span style="color: #000000;">lim</span><span style="color: #0000FF;">,(</span><span style="color: #000000;">j</span><span style="color: #0000FF;">/</span><span style="color: #000000;">lim</span><span style="color: #0000FF;">)*</span><span style="color: #000000;">100</span><span style="color: #0000FF;">})</span> |
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t1 = time()+1 |
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<span style="color: #000000;">t1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time</span><span style="color: #0000FF;">()+</span><span style="color: #000000;">1</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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end for |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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progress("") |
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">platform</span><span style="color: #0000FF;">()!=</span><span style="color: #004600;">JS</span> <span style="color: #008080;">then</span> <span style="color: #7060A8;">progress</span><span style="color: #0000FF;">(</span><span style="color: #008000;">""</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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if tell then |
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<span style="color: #008080;">if</span> <span style="color: #000000;">tell</span> <span style="color: #008080;">then</span> |
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printf(1,"The list of all untouchable numbers <= %d:\n",{n}) |
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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 list of all untouchable numbers <= %d:\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">})</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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string line = " 2 5" |
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<span style="color: #004080;">string</span> <span style="color: #000000;">line</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">" 2 5"</span> |
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integer cnt = 2 |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">cnt</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">2</span> |
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for t=6 to n by 2 do |
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<span style="color: #008080;">for</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">=</span><span style="color: #000000;">6</span> <span style="color: #008080;">to</span> <span style="color: #000000;">n</span> <span style="color: #008080;">by</span> <span style="color: #000000;">2</span> <span style="color: #008080;">do</span> |
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if sums[t]=0 then |
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<span style="color: #008080;">if</span> <span style="color: #000000;">sums</span><span style="color: #0000FF;">[</span><span style="color: #000000;">t</span><span style="color: #0000FF;">]=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> |
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cnt += 1 |
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<span style="color: #000000;">cnt</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span> |
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if tell then |
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<span style="color: #008080;">if</span> <span style="color: #000000;">tell</span> <span style="color: #008080;">then</span> |
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line &= sprintf("%,8d",t) |
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<span style="color: #000000;">line</span> <span style="color: #0000FF;">&=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%,8d"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)</span> |
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if remainder(cnt,cols)=0 then |
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cnt</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cols</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> |
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printf(1,"%s\n",line) |
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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\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">line</span><span style="color: #0000FF;">)</span> |
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line = "" |
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<span style="color: #000000;">line</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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end for |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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if tell then |
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<span style="color: #008080;">if</span> <span style="color: #000000;">tell</span> <span style="color: #008080;">then</span> |
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if line!="" then |
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<span style="color: #008080;">if</span> <span style="color: #000000;">line</span><span style="color: #0000FF;">!=</span><span style="color: #008000;">""</span> <span style="color: #008080;">then</span> |
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printf(1,"%s\n",line) |
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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\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">line</span><span style="color: #0000FF;">)</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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printf(1,"\n") |
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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;">"\n"</span><span style="color: #0000FF;">)</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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t0 = time()-t0 |
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<span style="color: #004080;">string</span> <span style="color: #000000;">t</span> <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><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" (%s)"</span><span style="color: #0000FF;">)</span> |
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string t = iff(t0>1?elapsed(t0,fmt:=" (%s)"),"") |
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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;">"%,20d untouchable numbers were found <= %,d%s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">cnt</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">})</span> |
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printf(1,"%,20d untouchable numbers were found <= %,d%s\n",{cnt,n,t}) |
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<span style="color: #008080;">for</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">tens</span> <span style="color: #008080;">do</span> |
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for p=1 to tens do |
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<span style="color: #000000;">untouchable</span><span style="color: #0000FF;">(-</span><span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p</span><span style="color: #0000FF;">))</span> |
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untouchable(-power(10,p)) |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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end for |
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<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span> |
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end procedure |
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<span style="color: #000000;">untouchable</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2000</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">10</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">-(</span><span style="color: #7060A8;">platform</span><span style="color: #0000FF;">()==</span><span style="color: #004600;">JS</span><span style="color: #0000FF;">))</span> |
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untouchable(2000, 10, 6)</lang> |
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<!--</lang>--> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |