Data update
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7735 changed files with 38060 additions and 199180 deletions
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package Sum_To is
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generic
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with procedure Callback(Str: String; Int: Integer);
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procedure Eval;
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generic
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Number: Integer;
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with function Print_If(Sum, Number: Integer) return Boolean;
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procedure Print(S: String; Sum: Integer);
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end Sum_To;
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with Ada.Text_IO, Ada.Containers.Ordered_Maps;
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package body Sum_To is
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procedure Eval is
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procedure Rec_Eval(Str: String; Previous, Current, Next: Integer) is
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Next_Image: String := Integer'Image(Next);
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-- Next_Image(1) holds a blank, Next_Image(2) a digit
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function Sign(N: Integer) return Integer is
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(if N<0 then -1 elsif N>0 then 1 else 0);
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begin
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if Next = 10 then -- end of recursion
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Callback(Str, Previous+Current);
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else -- Next < 10
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Rec_Eval(Str & Next_Image(2), -- concatenate current and Next
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Previous, Sign(Current)*(10*abs(Current)+Next), Next+1);
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Rec_Eval(Str & "+" & Next_Image(2), -- add Next
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Previous+Current, Next, Next+1);
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Rec_Eval(Str & "-" & Next_Image(2), -- subtract Next
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Previous+Current, -Next, Next+1);
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end if;
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end Rec_Eval;
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begin -- Eval
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Rec_Eval("1", 0, 1, 2); -- unary "+", followed by "1"
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Rec_Eval("-1", 0, -1, 2); -- unary "-", followed by "1"
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end Eval;
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procedure Print(S: String; Sum: Integer) is
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-- print solution (S,N), if N=Number
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begin
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if Print_If(Sum, Number) then
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Ada.Text_IO.Put_Line(Integer'Image(Sum) & " = " & S & ";");
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end if;
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end Print;
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end Sum_To;
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@ -1,10 +0,0 @@
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with Sum_To;
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procedure Sum_To_100 is
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procedure Print_100 is new Sum_To.Print(100, "=");
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procedure Eval_100 is new Sum_To.Eval(Print_100);
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begin
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Eval_100;
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end Sum_To_100;
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@ -1,67 +0,0 @@
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with Sum_To, Ada.Containers.Ordered_Maps, Ada.Text_IO;
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use Ada.Text_IO;
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procedure Three_Others is
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package Num_Maps is new Ada.Containers.Ordered_Maps
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(Key_Type => Integer, Element_Type => Positive);
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use Num_Maps;
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Map: Num_Maps.Map;
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-- global Map stores how often a sum did occur
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procedure Insert_Solution(S: String; Sum: Integer) is
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-- inserts a solution into global Map
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use Num_Maps;
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-- use type Num_Maps.Cursor;
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Position: Cursor := Map.Find(Sum);
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begin
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if Position = No_Element then -- first solutions for Sum
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Map.Insert(Key => Sum, New_Item => 1); -- counter is 1
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else -- increase counter for Sum
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Map.Replace_Element(Position => Position,
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New_Item => (Element(Position))+1);
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end if;
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end Insert_Solution;
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procedure Generate_Map is new Sum_To.Eval(Insert_Solution);
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Current: Cursor; -- Points into Map
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Sum: Integer; -- current Sum of interest
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Max: Natural;
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begin
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Generate_Map;
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-- find Sum >= 0 with maximum number of solutions
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Max := 0; -- number of solutions for Sum (so far, none)
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Current := Map.Ceiling(0); -- first element in Map with Sum >= 0
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while Has_Element(Current) loop
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if Element(Current) > Max then
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Max := Element(Current); -- the maximum of solutions, so far
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Sum := Key(Current); -- the Sum with Max solutions
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end if;
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Next(Current);
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end loop;
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Put_Line("Most frequent result:" & Integer'Image(Sum));
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Put_Line("Frequency of" & Integer'Image(Sum) & ":" &
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Integer'Image(Max));
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New_Line;
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-- find smallest Sum >= 0 with no solution
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Sum := 0;
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while Map.Find(Sum) /= No_Element loop
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Sum := Sum + 1;
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end loop;
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Put_Line("Smallest nonnegative impossible sum:" & Integer'Image(Sum));
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New_Line;
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-- find ten highest numbers with a solution
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Current := Map.Last; -- highest element in Map with a solution
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Put_Line("Highest sum:" & Integer'Image(Key(Current)));
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Put("Next nine:");
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for I in 1 .. 9 loop -- 9 steps backward
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Previous(Current);
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Put(Integer'Image(Key(Current)));
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end loop;
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New_Line;
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end Three_others;
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