How to resolve the algorithm Evaluate binomial coefficients step by step in the Ada programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Evaluate binomial coefficients step by step in the Ada programming language

Table of Contents

Problem Statement

This programming task, is to calculate ANY binomial coefficient. However, it has to be able to output

(

5 3

)

{\displaystyle {\binom {5}{3}}}

,   which is   10. This formula is recommended:

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Let's start with the solution:

Step by Step solution about How to resolve the algorithm Evaluate binomial coefficients step by step in the Ada programming language

Source code in the ada programming language

with Ada.Text_IO;  use Ada.Text_IO;
procedure Test_Binomial is
   function Binomial (N, K : Natural) return Natural is
      Result : Natural := 1;
      M      : Natural;
   begin
      if N < K then
         raise Constraint_Error;
      end if;
      if K > N/2 then -- Use symmetry
         M := N - K;
      else
         M := K;
      end if;
      for I in 1..M loop
         Result := Result * (N - M + I) / I;
      end loop;
      return Result;
   end Binomial;
begin
   for N in 0..17 loop
      for K in 0..N loop
         Put (Integer'Image (Binomial (N, K)));
      end loop;
      New_Line;
   end loop;
end Test_Binomial;


  

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