Merriam purchased a cottage with a price of $$250000.$ The annual appreciation rate for real estate is assumed to be variable from one year to the next. Assuming that the annual appreciation rates are $1\mathrm{.}4\%,2\mathrm{.}5\%$ and $3\mathrm{.}7\%$ after one year, two years and three years of a property purchase, respectively, write a Python program called cottage$\_$val.py to compute and print the following: The value of Merriam's cottage three years after the purchase date. The total cottage appreciation value accumulated three years after the purchase date.