Your employer offers a $401($k$)$ plan with a $35\%$ match, and you set a goal of retiring in $29$ years with an amount of money which has the same buying power that $1\mathrm{.}6$ million dollars has today. If the account earns an annual interest rate of $3\mathrm{.}7\%$ and the expected annual rate of inflation is $1\mathrm{.}9\%,$ how much should you contribute each month?