CheatSheet for Searching Algorithms 1. Linear Search int search(int arr[], int x) { int n = arr.length; for(int i = 0; i < n; i++) { if(arr[i] == x) return i; } return -1; } The time complexity of above algorithm is O(n). 2. Binary Search // Returns location of key, or -1 if not found // Returns location of key, or -1 if not found int BinarySearch(int A[], int l, int r, int key) { int m; while( l <= r ) { m = l + (r-l)/2; if( A[m] == key ) // first comparison return m; if( A[m] < key ) // second comparison l = m + 1; else r = m - 1; } return -1; } The time complexity of Binary Search Theta(log(n)) Auxiliary Space: O(1) in case of iterative implementation. In case of recursive implementation, O(Logn) recursion call stack space. 3. The Ubiquitous Binary Search // Invariant: A[l] <= key and A[r] > key // Boundar...