Clean up day 2 solution and reduce time complexity
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@ -4,7 +4,7 @@ with Ada.Containers.Vectors;
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procedure Day_2 is
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type Safety is (Unsafe, Safe);
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type Ordering is (Increasing, Decreasing, Equal);
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type Ordering is (Increasing, Decreasing);
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type Levels is array (Natural range <> ) of Integer;
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@ -15,123 +15,129 @@ procedure Day_2 is
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end record;
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type Reports is array (Natural range <>) of Report;
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type Orderings is array (Natural range <>) of Ordering;
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type Safeties is array (Natural range <>) of Safety;
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type Level_Report is
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record
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Order : Orderings( 0 .. 9 ) := (others => Equal);
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Diff : Levels( 0 .. 9 ) := (others => 0);
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Count : Natural := 0;
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end record;
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function Calculate_Levels( R : Report ) return Level_Report is
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Out_R : Level_Report;
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function Is_Level_Safe( First, Second : Integer; Prev : Ordering ) return Safety is
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Diff : Integer := Second - First;
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ADiff : Natural := abs(Diff);
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begin
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for I in 0 .. R.Count - 2 loop
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if ADiff < 1 or ADiff > 3 then
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return Unsafe;
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else
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if Diff > 0 and Prev = Increasing then
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return Safe;
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elsif Diff < 0 and Prev = Decreasing then
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return Safe;
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else
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return Unsafe;
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end if;
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end if;
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end Is_Level_Safe;
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-- Safe for day 2 2:
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-- 5 6 4 3 2 1
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-- 5 4 6 7 8 9
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-- 5 5 6 7 8 9
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-- 5 5 4 3 2 1
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-- For all wrong levels in the middle of the report, where a prevailing
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-- order can already be determined, and easy algorithm is to jump ahead
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-- n levels from the unsafe integer and determine if that is safe. If the
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-- jump is less than the amount of chances, then it will catch all errors.
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--
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-- The problem resides in determining the correct order. In previous
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-- iterations, I used the first two levels to determine the errors,
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-- but in the above examples, the first order was incorrect.
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--
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-- The easiest solution I have found is to nest the above algorithm
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-- in another loop that skips ahead from the report. This does increase
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-- the time complexity, although in the case of day 2.2 only to 2*n.
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function Calculate_Report( R : Report; Chances : Integer ) return Safety is
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Current_Chances : Integer := Chances;
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Skip_Ahead : Natural := 0;
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Prev_Order : Ordering;
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Sum : Integer := 0;
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begin
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for I in R.Values'First .. R.Values'Last - 1 loop
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declare
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Diff : Integer := R.Values(I+1) - R.Values(I);
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begin
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if Diff > 0 then
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Out_R.Order(I) := Increasing;
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Sum := @ + 1;
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elsif Diff < 0 then
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Out_R.Order(I) := Decreasing;
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else
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Out_R.Order(I) := Equal;
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Sum := @ - 1;
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end if;
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Out_R.Diff(I) := abs(Diff);
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end;
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end loop;
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Out_R.Count := R.Count - 1;
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if abs(Sum) < Chances then
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return Unsafe;
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else
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if Sum > 0 then
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Prev_Order := Increasing;
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else
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Prev_Order := Decreasing;
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end if;
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end if;
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return Out_R;
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end Calculate_Levels;
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while Skip_Ahead <= Chances loop
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Current_Chances := Chances - Skip_Ahead;
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function Calculate_Report( Levels : Level_Report ) return Safety is
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declare
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First_Index : Natural := R.Values'First + Skip_Ahead;
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Second_Index : Natural := First_Index + 1;
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Diff : Integer := R.Values(Second_Index) - R.Values(First_Index);
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begin
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if Levels.Diff(0) < 1 or Levels.Diff(0) > 3 then
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return Unsafe;
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end if;
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for I in 0 .. Levels.Count - 2 loop
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if not (Levels.Order(I+1) = Levels.Order(I)) then
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return Unsafe;
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end if;
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if Levels.Diff(I+1) < 1 or Levels.Diff(I+1) > 3 then
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return Unsafe;
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while (Second_Index < R.Count) and (Current_Chances >= 0) loop
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if Is_Level_Safe(R.Values(First_Index), R.Values(Second_Index), Prev_Order) = Safe then
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First_Index := Second_Index;
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Second_Index := @ + 1;
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else
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Current_Chances := @ - 1;
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Second_Index := @ + 1;
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end if;
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end loop;
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if Levels.Order(0) = Equal then
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return Unsafe;
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end if;
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if Current_Chances >= 0 then
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return Safe;
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else
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Skip_Ahead := @ + 1;
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end if;
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end;
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end loop;
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return Unsafe;
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end Calculate_Report;
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function Calculate_Report_Lossy( R : Report ) return Safety is
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Levels : Level_Report := Calculate_Levels(R);
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begin
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if Calculate_Report( Levels ) = Safe then
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return Safe;
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else
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for I in 0 .. R.Count - 1 loop
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declare
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New_Report : Report;
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begin
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for J in 0 .. I-1 loop
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New_Report.Values(J) := R.Values(J);
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end loop;
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for J in I+1 .. R.Count -1 loop
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New_Report.Values(J-1) := R.Values(J);
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end loop;
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New_Report.Count := R.Count - 1;
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Put_Line("Check level reduced report @" & Integer'Image(I));
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Put_Line(R'Image);
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Put_Line(New_Report'Image);
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if Calculate_Report(Calculate_Levels( New_Report)) = Safe then
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return Safe;
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end if;
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end;
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end loop;
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return Unsafe;
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end if;
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end Calculate_Report_Lossy;
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function Get_Safe_Reports_Lossy( R : Reports ) return Natural is
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function Get_Safe_Reports( R : Reports; Chances : Integer ) return Natural is
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Sum : Natural := 0;
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begin
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for Rep of R loop
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declare
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Result : Safety := Calculate_Report_Lossy(Rep);
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begin
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if Result = Safe then
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if Calculate_Report( Rep, Chances ) = Safe then
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Sum := @ + 1;
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end if;
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end;
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end loop;
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return Sum;
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end Get_Safe_Reports_Lossy;
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function Get_Safe_Reports( R : Reports ) return Natural is
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Sum : Natural := 0;
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begin
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for Rep of R loop
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declare
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Result : Safety := Calculate_Report(Calculate_Levels(Rep));
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begin
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if Result = Safe then
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Sum := @ + 1;
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end if;
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end;
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end loop;
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return Sum;
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end Get_Safe_Reports;
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procedure Diff_Reports( R : Reports ) is
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begin
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Put_Line("Running diff");
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for Rep of R loop
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declare
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Result_First : Safety := Calculate_Report(Rep, 0);
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Result_Second : Safety := Calculate_Report(Rep, 1);
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begin
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if Result_First /= Result_Second then
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Put_Line("Result First: " & Result_First'Image);
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Put_Line("Result Second: " & Result_Second'Image);
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Put_Line("Report: " & Rep'Image);
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end if;
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end;
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end loop;
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end;
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function ToNum( Num : String ) return Integer is
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begin
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return Integer'Value(Num);
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@ -195,7 +201,10 @@ procedure Day_2 is
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File_Name : String := "input_day_2.txt";
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Reps : Reports := Read_File(File_Name);
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begin
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Put_Line("Day 2 1:" & Get_Safe_Reports(Read_File(File_Name))'Image);
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Put_Line("Day 2 2:" & Get_Safe_Reports_Lossy(Read_File(File_Name))'Image);
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Put_Line("Day 2 1:" & Get_Safe_Reports(Reps, 0)'Image);
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Put_Line("Day 2 2:" & Get_Safe_Reports(Reps, 1)'Image);
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Put_Line("Day 2 3:" & Get_Safe_Reports(Reps, 2)'Image);
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end Day_2;
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