Write a C program to implement the binary search algorithm. The program should search for a given integer in a sorted array and print the index at which the integer is found. If the integer is not found, the program should print $-1.$ Analyze and comment on the time complexity of your algorithm.

Write a C program to find the minimum element in an array of integers. The program should print the minimum element found. Analyze and comment on the time complexity of your algorithm.