joining me now to discuss these latest developments, aaron david miller, senior fellow at the carnegient for international peace. is, of course, a former u.s. middle east negotiator. erin, it's great to see you again. i'll start with these comments. because we know that hamas officials were also in cairo today for negotiations. a little bit of confusion as to whether the israelis were gonna go there or send someone there. they are accepting this offer, if you will, by the americans. but what are the chances that they would agree, that hamas would agree, to a deal that does not specifically spell out a permanent cease-fire? >> if that's hamas's demand, and it certainly hold out for that, it will be a cessation of hostilities, and probably in the withdrawal of israeli forces around gaza, chances are -- i do believe, and thanks for having me, that -- we've probably reached the best opportunity in the next week or so in order to do a limited exchange. 45 hostages, initially, the elderly, the sick, and women, for a 45-day, one hostage per one day, temporary cease-fire. and an unknown and as