Problem $1.[30$ points$]$ Random walk of a drunk man. A drunk man is $100$ steps

away from his home. His probability of taking a step toward his home $($position$+1)$

is $\frac{5}{8},$ and taking a step away $($position$-1)$ is $\frac{3}{8}.$ Write a C$++$ program that

simulates his random walk starting at position equals $0$ until he reaches his home

$($position equals $100).$ The program should count and display how many steps he

took to reach his home.