write c code for this questions $.$ please give c codes also the resuot screenshots $.$

$1.$ Implement the master method theorem$$

$$Sample Input:$$T$($n$)$

$=3$T$($n$/2)+$ n$2$

$$Sample Output $=$ O$($n$2)$

$2.$ Implement the BFS algorithm

$$ Input: You have to provide a graph either using adjacency matrix or adjacency list$$

$$ Output: You have to show distance and previous node of each vertex from a specific source node

$3.$ Implement the DFS algorithm

$$ Input: You have to provide a graph either using adjacency matrix or adjacency list$$ Output: You have to show discovery and finishing time of each vertex from a specific source node

$4.$ Implement the Topological sort algorithm

$$ Input: You have to provide a graph either using adjacency matrix or adjacency list$$ Output: You have to show the sorted order of each event