solve in matlab code.Clearly state the input parameters $($ nelx, nely, penal, volfrac, r min$)$ and final objective function compliance values for all the three problems. Also, please discuss the final designs $($results$).$Add an algorithm so that it can handle two$-$load case problem shown in Figure $2.$ Compare and contrast the result with the one$-$load case solution from figure $1.($a$).($Hint:You have to consider each loading separately in this case. Each element will have two separate displacements, two separate elemental compliance values and thus two separate sensitivity values. Compute the average sensitivity $($or you can simply add$)$ and supply this average sensitivity field to your optimizer. The implementation can be done in less than $10$ addtional lines.$)$

Figure $2$: $($a$)$ Two separate downward loadings at the top. This is multi$-$loading scenario.

You are strongly encouraged to read the original paper; Sigmund, Ole. $"$A $99$ line topology optimization code written in Matlab." Structural and multidisciplinary optimization $21\mathrm{.}2(2001)$: $120-127.$