Suppose a program takes time proportional to $(log(n){)}^2,$ where $n$ is the input size. If the program

takes $30ms$ to process input of size $100,$ how long will it take to process...

a$)$ input if size $10,{000}_{?}?$

b$)$ input of size $100,000,000?$The runtime of a given computer program is proportional to $5^n,$ where $n$ is the input

size. Suppose the program takes $16ms$ to process input of size $20.$ How long will it take to

process input of size $23?$ Use a rule of thumb and show all calculations.