 Every day I have that test. Everything I do. You know, not only am I campaigning, but I'm running the world. And that's not how it sounds like hyperbole. But we are the central nation in the world. There is new hope. Israel and Hamas could agree on a plan for peace. A Palestinian official tells the BBC Hamas is no longer demanding a full ceasefire to forge a deal. The BBC's Sebastian Usher is in Jerusalem.