Please explain it with as much details! Thank you very much!

Alice and Bob found a treasure chest with different golden coins, jewelry and vari- ous old and expensive goods. After evaluating the price of each object they created a list P = {P1, ..., Pn} for all n objects, where pi {1,...,K} is the price of the object i. Help Alice and Bob to check if the treasure can be divided equally, i.e. if it is possible to break the set of all abjects P into two parts Pa and PB such that PA U PB = P, Pan PB = 0 and Liepa Pi = EiePg Pi