please write a C program includes

#include

Observe the usual guidelines regarding the initial comment section, indenting, and so on. In addition, when functions are required, place function definitions following main. At the beginning of the program and before each function use comments to explain what the function does. Do not use global variables.

1. The Pascal triangle can be used to compute the coefficients of the terms in the expansion of (a+b)ⁿ. In a Pascal triangle, each element is the sum of the element directly above it and the element to the left of the element directly above it (if any).

An example of a triangle of size 7 is shown below:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

Declare a two-dimensional array in function main (allow the array to contain up to 25 rows and 25 columns) and initialize elements to 0. Have the user input the size of the Pascal triangle (up to 25).

Write a function to compute the coefficients of the Pascal triangle. Call the function to calculate values for the triangle for the given size. Function parameters should be the array and the size of the triangle. Print the triangle from function main (do not print the elements that have been initialized to 0 but are not part of the triangle).

Hint: Note that triangle[0][0], triangle[1][0], triangle[1][1] as well as all other values in column 0 are equal to 1.