Blücher and Schwarzenberg agreed to attack Napoleon from both sides with all their united forces, and thus, if possible, to put an end to the war with one blow. Blücher, therefore, marched from Rheims to Châlons, Schwarzenberg from Arcis-sur-Aube to Vitry, in search of Napoleon: instead of falling back before him at some distance from one another, and thus giving Napoleon plenty of room, as he had expected, they boldly formed a junction of their several divisions behind him. The Allies hoped that Napoleon might turn back when he found his expectations foiled, and that they would then fight him in the great plains between the Marne and the Aube, where the Allies could make use of their numerical superiority in cavalry against the very inferior French cavalry. But Napoleon was already on his