<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def _stage(self, accepted, count=0):
 """This is a repeated state in the state removal algorithm"""

        new5 = self._combine_rest_push()
        new1 = self._combine_push_pop()
        new2 = self._combine_push_rest()
        new3 = self._combine_pop_rest()
        new4 = self._combine_rest_rest()
        new = new1 + new2 + new3 + new4 + new5
        del new1
        del new2
        del new3
        del new4
        del new5
        if len(new) == 0:
            # self.printer()
            # print 'PDA is empty'
            # logging.debug('PDA is empty')
            return None

        self.statediag = self.statediag + new
        del new
        # print 'cleaning...'

        # It is cheaper to create a new array than to use the old one and
        # delete a key
        newstates = []
        for key in self.statediag:
            if len(key.trans) == 0 or key.trans == {}:
                # rint 'delete '+`key.id`
                # self.statediag.remove(key)
                pass
            else:
                newstates.append(key)

        del self.statediag
        self.statediag = newstates
        self.quickresponse = {}
        self.quickresponse_types = {}
        self.quickresponse_types[0] = []
        self.quickresponse_types[1] = []
        self.quickresponse_types[2] = []
        self.quickresponse_types[3] = []
        self.quickresponse_types[4] = []
        for state in self.statediag:
            if state.id not in self.quickresponse:
                self.quickresponse[state.id] = [state]
            else:
                self.quickresponse[state.id].append(state)
            self.quickresponse_types[state.type].append(state)

            # else:
            #     print `key.id`+' (type: '+`key.type`+' and sym:'+`key.sym`+')'
            #     print key.trans
        # print 'checking...'
        exists = self._check(accepted)
        if exists == -1:
            # DEBUGself.printer()
            # raw_input('next step?')
            return self._stage(accepted, count + 1)
        else:
            # DEBUGself.printer()
            # print 'Found '
            print exists
            # return self._stage(accepted, count+1)
            return exists