How can the inheritance be calculated for heirs who include 5 sons, 6 daughters, a wife, and a paternal half-brother, with a debt owed to his mother of 100,0 Saudi Riyals for a house that was also valued at that amount at the time of the debt, and its ownership was not transferred before the death of the inheritor who suffered from Alzheimer's?

The inheritance is to be divided as follows: The wife receives one-eighth (16 shares), and the sons and daughters receive the remainder by ta'sib (agnatic inheritance), with the male receiving the share of two females (each son receives 14 shares, and each daughter receives 7 shares). The paternal half-brother does not inherit due to the presence of a son. As for the mother's debt owed by the father, it requires proof through evidence (two men and one woman, or one man and the claimant's oath) or by the acknowledgment of the heirs. If the debt is proven, it must be paid from the estate before its division. If the mother claims that the father told her to take the house in exchange for the debt, she must prove this with evidence. If it is proven, she takes the house because it is a settlement in the sense of a sale. If this is not proven, she takes her share of the debt in cash or by agreement with the heirs.