Data update
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7735 changed files with 38060 additions and 199180 deletions
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with Ada.Text_IO, Generic_Root; use Generic_Root;
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procedure Multiplicative_Root is
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procedure Compute is new Compute_Root("*"); -- "*" for multiplicative roots
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package TIO renames Ada.Text_IO;
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package NIO is new TIO.Integer_IO(Number);
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procedure Print_Numbers(Target_Root: Number; How_Many: Natural) is
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Current: Number := 0;
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Root, Pers: Number;
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begin
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for I in 1 .. How_Many loop
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loop
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Compute(Current, Root, Pers);
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exit when Root = Target_Root;
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Current := Current + 1;
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end loop;
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NIO.Put(Current, Width => 6);
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if I < How_Many then
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TIO.Put(",");
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end if;
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Current := Current + 1;
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end loop;
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end Print_Numbers;
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Inputs: Number_Array := (123321, 7739, 893, 899998);
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Root, Pers: Number;
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begin
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TIO.Put_Line(" Number MDR MP");
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for I in Inputs'Range loop
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Compute(Inputs(I), Root, Pers);
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NIO.Put(Inputs(I), Width => 8);
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NIO.Put(Root, Width => 6);
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NIO.Put(Pers, Width => 6);
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TIO.New_Line;
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end loop;
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TIO.New_Line;
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TIO.Put_Line(" MDR first_five_numbers_with_that_MDR");
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for I in 0 .. 9 loop
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TIO.Put(" " & Integer'Image(I) & " ");
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Print_Numbers(Target_Root => Number(I), How_Many => 5);
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TIO.New_Line;
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end loop;
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end Multiplicative_Root;
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@ -1,46 +1,44 @@
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(phixonline)-->
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
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<span style="color: #008080;">function</span> <span style="color: #000000;">mdr_mp</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">m</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">mp</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: #000000;">m</span><span style="color: #0000FF;">></span><span style="color: #000000;">9</span> <span style="color: #008080;">do</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">newm</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
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<span style="color: #008080;">while</span> <span style="color: #000000;">m</span> <span style="color: #008080;">do</span>
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<span style="color: #000000;">newm</span> <span style="color: #0000FF;">*=</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;">10</span><span style="color: #0000FF;">)</span>
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<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: #000000;">m</span><span style="color: #0000FF;">/</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
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<span style="color: #000000;">m</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">newm</span>
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<span style="color: #000000;">mp</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
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<span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">m</span><span style="color: #0000FF;">,</span><span style="color: #000000;">mp</span><span style="color: #0000FF;">}</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
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with javascript_semantics
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function mdr_mp(integer m)
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integer mp = 0
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while m>9 do
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integer newm = 1
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while m do
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newm *= remainder(m,10)
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m = floor(m/10)
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end while
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m = newm
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mp += 1
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end while
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return {m,mp}
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end function
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<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;">123321</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">7739</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">893</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">899998</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;">"Number MDR MP\n"</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;">"====== === ==\n"</span><span style="color: #0000FF;">)</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;">tests</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">ti</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>
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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;">"%6d %6d %6d\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ti</span><span style="color: #0000FF;">&</span><span style="color: #000000;">mdr_mp</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ti</span><span style="color: #0000FF;">))</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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constant tests = {123321, 7739, 893, 899998}
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printf(1,"Number MDR MP\n")
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printf(1,"====== === ==\n")
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for i=1 to length(tests) do
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integer ti = tests[i]
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printf(1,"%6d %6d %6d\n",ti&mdr_mp(ti))
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end for
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<span style="color: #004080;">integer</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">found</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">columnize</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>
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<span style="color: #000080;font-style:italic;">-- (ie {{0},{1},..,{9}})</span>
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<span style="color: #008080;">while</span> <span style="color: #000000;">found</span><span style="color: #0000FF;"><</span><span style="color: #000000;">50</span> <span style="color: #008080;">do</span> <span style="color: #000080;font-style:italic;">-- (ie the full 10*5)</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">mdr1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">mdr_mp</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]+</span><span style="color: #000000;">1</span>
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">m1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">mdr1</span><span style="color: #0000FF;">]</span>
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<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">m1</span><span style="color: #0000FF;">)<</span><span style="color: #000000;">6</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: #000000;">mdr1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> <span style="color: #000080;font-style:italic;">-- (avoid p2js violation)</span>
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<span style="color: #000000;">m1</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">i</span>
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<span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">mdr1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">m1</span>
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<span style="color: #000000;">found</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</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;">i</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
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integer i=0, found = 0
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sequence res = columnize({tagset(9,0)})
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-- (ie {{0},{1},..,{9}})
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while found<50 do -- (ie the full 10*5)
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integer mdr1 = mdr_mp(i)[1]+1
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sequence m1 = res[mdr1]
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if length(m1)<6 then
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res[mdr1] = 0 -- (avoid p2js violation)
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m1 &= i
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res[mdr1] = m1
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found += 1
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end if
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i += 1
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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;">"\nMDR 1 2 3 4 5"</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;">"\n=== ===========================\n"</span><span style="color: #0000FF;">)</span>
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printf(1,"\nMDR 1 2 3 4 5")
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printf(1,"\n=== ===========================\n")
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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;">10</span> <span style="color: #008080;">do</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;">"%2d %5d %5d %5d %5d %5d\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</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;">for</span>
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<!--
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for i=1 to 10 do
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printf(1,"%2d %5d %5d %5d %5d %5d\n",res[i])
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end for
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@ -1,5 +1,3 @@
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(phixonline)-->
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
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<span style="color: #008080;">function</span> <span style="color: #000000;">pdd</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: #008080;">return</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%2d"</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">product</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sq_sub</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">),</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">)))</span> <span style="color: #008080;">end</span> <span style="color: #008080;">function</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;">"Product of the decimal digits of 1..100:\n%s\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #7060A8;">join_by</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">100</span><span style="color: #0000FF;">),</span><span style="color: #000000;">pdd</span><span style="color: #0000FF;">),</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)})</span>
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<!--
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with javascript_semantics
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function pdd(integer n) return sprintf("%2d",product(sq_sub(sprint(n),'0'))) end function
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printf(1,"Product of the decimal digits of 1..100:\n%s\n", {join_by(apply(tagset(100),pdd),1,10)})
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