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:
See Also:
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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