CS$240$ HOMEWORK $4$ Write a C program that meets the following requirements: Input: There are $2$ lines of input: $-$ First line: the list of integers S $=$ S$1,$S$2,$S$3...$Sn $($n$<10000).$ Each integer is in the range of $[-100000,100000]($can be positive, negative or zero$)-$ Second line: an integer X Output: The program will $1.$ Read from stdin and save list S into a linked list. $2.$ Remove all nodes in the list where the values are less than X$.3.$ Sort the remaining list in ascending order Finally, print $2$ lines into stdout: $1.$ The sorted list of integer, each integer is separate by comma $,2.$ The original index of the sorted integers, separate by comma $,$ If no integers remain after filtering, print nothing into stdout. Note: $-$ If two numbers are the same, the smaller index will appear first. $-$ Please use a linked list to store and process the integers, you CANNOT use arrays. $$ SAMPLE INPUT $110,20,0,-10$ SAMPLE OUTPUT $10,10,202,0,1$ SAMPLE INPUT $2-1,-2,-3,-4,1,4,3,2-1$ SAMPLE OUTPUT $2-1,1,2,3,40,4,7,6,5$ SAMPLE INPUT $3-1000,-21,-37,-490$ SAMPLE OUTPUT $3$