A$.$ Assume you are currently planning for retirement. You want to deposit $X amount of money today $($year $0),$ so that when you retire in $35$ years from now, you can make annual withdrawals for the subsequent $22$ years, with your first withdrawal being at time $36.$ You want your first withdrawal $($in year $36)$ to be $$59,000$ and then increase this payment by $2\%$ each year thereafter to compensate for inflation. If your interest rate is $6\%$ APR, how much is $X$?$