A package includes a package substrate, which includes a middle layer selected from the group consisting of a core and a middle metal layer, a top metal layer overlying the middle layer, and a bottom metal layer underlying the middle layer. All metal layers overlying the middle layer have a first total metal density that is equal to a sum of all densities of all metal layers over the middle layer. All metal layers underlying the middle layer have a second total metal density that is equal to a sum of all densities of all metal layers under the middle layer. An absolute value of a difference between the first total metal density and the second total metal density is lower than about 0.1.