A pension plan is obligated to make disbursements of $$1\mathrm{.}9$ million, $$2\mathrm{.}9$ million, and $$1\mathrm{.}9$ million at the end of each of the next three years, respectively. The annual interest rate is $11\%.$ If the plan wants to fully fund and immunize its position, how much of its portfolio should it allocate to one$-$year zero$-$coupon bonds and perpetuities, respectively, if these are the only two assets funding the plan?