which stores in the file name all decimal integers of n digits for which: - the digits of weight 101,102,104,106, etc., have an even value (e.g.,0,2,4,6,8) - the digits of weight 101,103,105,107, etc., have an odd value (e.g.,1,3,5,7,9) - the sum of all even digits equals the sum of all odd digits. For example, with n=4 digits, the following numbers satisfy the specified properties: 1430 (with sum 0+4=3+1=4 ), 3652( with sum 2+6=5+3=8 ), 5676 (with sum 6+6=7+5=12 ). The solution must prune the recursion tree as soon as possible, i.e., solutions that generate all integer numbers of n digits and display only the numbers satisfying the requested properties will be penalized in terms of the final mark. Write the entire function using only C standard libraries and implement all required personal libraries. Modularize the program adequately, and report a brief description of the data structure and the logic adopted in plain English. Unclear or awkward programs, complex, or impossible to understand, will be penalized in terms of the final evaluation