## co.combinatorics – Combinatorics and geometry underlying a refined Pascal matrix/Newton identities

The partition polynomials of OEIS A263633 give the coefficients of the power series/o.g.f of the multiplicative inverse (reciprocal) of a power series/o.g.f. and so give the Newton identities for transforming between complete homogeneous symmetric polynomials/functions and elementary symmetric polynomials/functions. Certain Koszul duals are related to this.

The algebraic combinatorics of the complementary reciprocal of a Taylor series/e.g.f. is governed by the antipode/refined Euler characteristic classes of the permutahedra or, equivalently, by surjective mappings, so I have an indirect geometric combinatorial interpretation of ‘scaled’ versions of the Newton identities, but I’m looking for more direct interpretations.

What combinatoric/geometric structures are enumerated by the integer coefficients of these partition polynomials for conversion of an o.g.f. into a reciprocal o.g.f.?

## Error with conditional on pascal

The error I have in my program is the following, I want to create a program in which the user digits numbers from 1 to 7 but I also need to establish a condition, which is that if the user digits a number less than 1 and greater than 7 The program does not run. This condition is what is giving me problems since it is not fulfilling any of the possibilities.

``````program dias;
USES CRT;
var num:integer;
begin

writeln('Digite un numero del 1 al 7');
num:=2;

if ((num>=7) and (num<=1) ) then
begin
writeln('LUNES');
end

else
begin
writeln('ERROR');
end;

end.
``````

## Create ChatBot in Pascal

Hi, I need to create a chat bot in pascal, lazarus but I have no idea how to start.
What kind of method is necessary or procedures / functions.

## Element repeated within the matrix – Pascal

I have tried for a long time to produce code that identifies and informs the user if there are repeated elements in a 5×5 random number matrix in pascal. I tried searching the matrix using one or two variables and also with a complete matrix to search, but it didn't work.
Some people have told me that it is not necessary to have a code too large or complex for the task. Then my despair increases.

I ask if anyone has any solution to the problem.

PasteBin link for failed attempt (and the busiest) – https://pastebin.com/uzPLACXe

## Dijkstra Algorithm in Pascal — OBI Question

Hi I am practicing for OBI Phase 2 and I need help with the following link problem:

How would the implementation of Dijkstra be in this problem in Pascal?

## pascal – Incompatibility of types and difficulty to read a vector

I have difficulties in a problem, which at first I thought was very trivial, but in the end I did not manage to do it. It is an exercise of an Algorithm test that is below:

MASTERMIND GAME

CONSIDER THE FOLLOWING DEFINITIONS:

const MAX = 20; CORINI = 1; CORFIM = 30;

Types of colors: CORINI..CORFIM; (range of values, subtype of integer)

vector = matrix [1..MAX] of colors;

1. Present, in Pascal, procedures or functions for:

(a) Read a vector with n ∈ ∈.[2..MAX] elements of the type colors, ensuring that all the elements belong to the interval[CORINI,CORFIM] and that there is no element repeated in the read vector;

In the paschal language, the program in the paschal language, but I have the following error: I do not know how, accept any value of the user, integrate let's say, and assign it in a variable of type of color.
My code is below:

```program mastermind; const MAX = 20; CORINI = 1; CORFIM = 30;```

Types of colors = CORINI..CORFIM; (range of values, subtype of integer)
vector = matrix [1..MAX] of colors;

var vector_of_cores: vector; n: integer;

(s): Boolean;
start
this_no_interval: = False;
if (n> = 1) and (n <= 30) then
this_no_interval: = True;
finish;

(in the event of an error).
var i: integer;
start
eh_repetido: = True;
if limiter = 1 then
eh_repetido: = False
other
start
for i: = 1 to limiter-1 of.
start
yes vector_of_cores[i] = x then
eh_repetido: = False;
finish;
finish;

finish;

(in the event of an error).
start
(this_no_interval (x) = False) or (eh_repetido (vector_of_cores, i, x) = True)
start
writeln (& # 39; invalid entry & # 39;);
valid_value: = x;
finish;

finish;

(in the event of an error).
var i: integer; x: integer;
start
for i: = 1 to n
start
vector_of_cores: = valid_value (x, vector_of_cores, i);

``````finish;
``````

finish;

(MAIN PROGRAM)
start
read (n); (n is a vector tam between 2 and MAX)
ler_vetor (n vetor_de_cores);

final.

## algorithm in pascal with execution error

I did that algorithm but it does not run, an error appears, "else not expected":
Program of maximum value of detail;
male
valorn, finalvalue: integer;
start
writeln (& # 39; Write a value & # 39;);