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# i need While a subset of N can be small (cardinal) and contain  very large numbers,it  is hollow in the sense that only few  numbers belong to it.on this exercice please&nbsp;

INSTRUCTIONS TO CANDIDATES

# Lists and sets

In set theory, a set intuitively designates a collection of objects (the elements of the set).

Example: A set of natural inties is rated N: No.0; 1; 2; 3; . . .

While a subset of N can be small (cardinal) and contain  very large numbers,it  is hollow in the sense that only few  numbers belong to it.

For example SN  is a hollow set of 5 elements..

We will use in this part the chained lists  to represent seeded  whole numbers. The most practical method in this case is to represent a hollow set  by u double-chained  list of its elements,  pointed by a left pointer  PGauche  and  a  right pointer   PDroite. The  itemsare  placplaced  on the list  in  ascending order. .

An item on the doubly chained list will therefore be characterized by the following information:

1. A pointer on the left element;
2. The value of the item;
3. A pointer on the rightelement.

1. After defining, in C, the EnsCreux data structure representing a hollow set, write a program allowing:
1. Inserting an item in accordance with the growing order of the list;;
2. Deleting an item based on its value;
3. The display of the elements of the set in ascending order and respecting the following display format " 2; 37 ; 55 ; 231 ; 9999";
4. The display ofelements of the set inthe déascending order;
5. The destruction of the whole.
2. Knowing that the elements appear only once in a set.
1. Write the cardinal function returning the number of items in a set  (our list);
2. Writing the function belongs to return 1 if an x element belongs to a set and 0 if not;
3. Write the union function flipping the whole union of two sets entered into parameters;
1. Definition: A C-unit of two sets A and B contains all the elements of A and all the elements of B without repetition.

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