Who inherits a deceased woman who left a full sister, the children of a full sister, and two maternal half-brothers?

If the deceased leaves behind only a full sister and two maternal half-brothers, the sister receives one-half, and the two maternal half-brothers receive one-third, equally divided between them. The remainder is returned to the full sister and the two maternal half-brothers. Thus, the inheritance is divided into five shares: the sister receives three shares (as her prescribed portion and as return), and each of the two maternal half-brothers receives one share (as their prescribed portion and as return). As for the full sister's children, they are considered distant kin (dhawu al-arham) and do not inherit when there are heirs with prescribed shares. Inheritance cases must be submitted to the Sharia (definition) courts for investigation.