Please solve both the questions

In the fourth and final iteration, data[5] = 3 > 2 but hi = 2 ? 4/2, so med becomes 3 and lo becomes 2. BadMedian returns 3, which is the median of data.

1. Prove that lo + hi = i after every iteration of the for loop.

2. Prove that BadMedian is incorrect.

Answer the following questions about the algorithm below, which attempts to find the median element of an odd-length array Input: data: an array with an odd number of integers Input: n: the length of data (odd) Output: element m in data such that (n 1)/2 elements are smaller and (n - 1)/2 elements are larger Algorithm: BadMedian 2 med= data[1] s lo hi 0 4 fori1 to n 1 do sif datamed then if lo 2 and hi = 0