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Ingy döt Net 2023-07-01 11:58:00 -04:00
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with Ada.Text_IO;
with Ada.Containers.Hashed_Sets;
procedure Mian_Chowla_Sequence
is
type Natural_Array is array(Positive range <>) of Natural;
function Hash(P : in Positive) return Ada.Containers.Hash_Type is
begin
return Ada.Containers.Hash_Type(P);
end Hash;
package Positive_Sets is new Ada.Containers.Hashed_Sets(Positive, Hash, "=");
function Mian_Chowla(N : in Positive) return Natural_Array
is
return_array : Natural_Array(1 .. N) := (others => 0);
nth : Positive := 1;
candidate : Positive := 1;
seen : Positive_Sets.Set;
begin
while nth <= N loop
declare
sums : Positive_Sets.Set;
terms : constant Natural_Array := return_array(1 .. nth-1) & candidate;
found : Boolean := False;
begin
for term of terms loop
if seen.Contains(term + candidate) then
found := True;
exit;
else
sums.Insert(term + candidate);
end if;
end loop;
if not found then
return_array(nth) := candidate;
seen.Union(sums);
nth := nth + 1;
end if;
candidate := candidate + 1;
end;
end loop;
return return_array;
end Mian_Chowla;
length : constant Positive := 100;
sequence : constant Natural_Array(1 .. length) := Mian_Chowla(length);
begin
Ada.Text_IO.Put_Line("Mian Chowla sequence first 30 terms :");
for term of sequence(1 .. 30) loop
Ada.Text_IO.Put(term'Img);
end loop;
Ada.Text_IO.New_Line;
Ada.Text_IO.Put_Line("Mian Chowla sequence terms 91 to 100 :");
for term of sequence(91 .. 100) loop
Ada.Text_IO.Put(term'Img);
end loop;
end Mian_Chowla_Sequence;