约瑟夫问题有原始的约瑟夫和发展了的约瑟夫两种。 原始的约瑟夫的描述： 古代某法官要判决N个犯人的死刑，他有一条荒唐的法律，将犯人站成一个圆圈，从第S个人开始数起，每数到第D个犯人，就拉出来处决，然后再数D个，数到的人再处决———直到剩下的最后一个可赦免。 发展的约瑟夫的描述： 古代某法官要判决N个犯人的死刑，但这N个人每人持有一个密码，他有一条荒唐的法律，将犯人站成一个圆圈，法官先给出一个密码M，从第S个人开始数起，每数到第M个犯人，就拉出来处决，再根据这个人所持有的密码F，然后再数F个，数到的人再处决，以此类推———直到剩下的最后一个可赦免。-Joseph problems have original development of the Joseph and Joseph two. The original Joseph Descr iption : Ancient a judge to sentence N inmates of the death penalty, he is a ridiculous law, prisoners station into a circle, from S began a few individuals, every few months to D prisoners, pull out executions, then D, the number of people to be re-executed--- until the last one left to be pardoned. The development of the Joseph Descr iption : Ancient a judge to sentence N inmates of the death penalty, but each individual N holders a password, he is a ridiculous law, prisoners station into a circle, the judges first gave a password M, S individuals from the beginning of several, each of the first few inmates M , pull him out executions, in accordance with the password held by the F, then F fe