Write a program that counts the number of negative values, the number of positive values and the number of zeros in a floating point array. instead of performing these counts inside the main program, each count should be calculated by a user-defined function.

specificially, the program should:

• greet the user,

• prompt for and input the length of the array;

• idiotproof the array length;

• dynamically allocate the array;

• check that the allocation was successful;

• prompt for and input the values in the array

• count the number of negative values by calling a user-defined function;

• count the number of positive values by calling a user-defined function;

• count the number of zeros by calling a user-defined function;

• output the numbers of negative, positive and zero values in the array;

• deallocate the array.

note: you must calculate each of the three counts in its own user-defined function; you are absolutely forbidden to calculate more than one of them in the same user-defined function.