In January. $2021,$ Siemens Engineering Co$.$ signed a $$240$ million contract to construct a new city hall within two years. The city will pay $$180$ million upfront, and the rest $$60$ million at the end of the project.

Siemens expects that total cost associated with the project would be $$180$ million, with $$72$ million costs incurred during $2021,$ and rest of the cost will incur in $2022.$

Using the cost$-$to$-$cost method, how much revenue should Siemens recognize in $2021$ and $2022$ respectively? What is the recognized gross profit each year?