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An office building with an adjusted basis of $$320,000$ was destroyed by fire on December $30,2021.$ On January $11,2022,$ the insurance company paid the owner $$450,000.$ The fair market value of the building was $$500,000,$ but the insurance company is responsible for only $90$ percent of the loss. The owner reinvested $$410,000$ in a new office building on February $12,2022,$ that was smaller than the original office building. What is the recognized gain and the basis of the new building if $1033($nonrecognition of gain from an involuntary conversion$)$ is elected?

a$.$ $$40,000$ and $$320,000.$

b$.$ $$0$ and $$410,000.$

c$.$ $$130,000$ and $410,000.$

d$.$ $$0$ and $$320,000.$