Grant felt perfect confidence only in four prime elements of victory: first, in his ability to wear Lee down by sheer attrition if other means failed; next, in his own magnificent army; then in Sherman's; and lastly in Sheridan's cavalry. His supply and transport services were nearly perfect, even in his own most critical eyes. "There never was a corps better organized than was the quartermaster's corps with the Army of the Potomac in 1864." His field engineering and his signal service were also exceedingly good. At every halt the army threw up earth and timber entrenchments with wonderful rapidity and skill. At the same time the telegraph and signal corps was busy laying insulated wires by means of reels on muleback. Parallel lines would be led to the rear of each brigade till quite clear, when their ends would be joined by a wire at right angles, from which headquarters could communicate with every unit at the front. Sherman's army was equally efficient, and Sheridan's cavalry soon proved that sweeping raids could be carried out by one side as well as by the other. Crossing the Rapidan at the Germanna Ford, Grant marched south through the Wilderness on the fifth of May. The Wilderness was densely wooded; the roads were few and bad; the clearings rare and too small for large units. When Lee attacked from the west and Grant turned to face him the fighting soon became desperate, close, and somewhat confused. Neither side gained any substantial advantage on the first day. Next morning Grant, preparing to attack at five, was forestalled by Lee, who wished to keep him at arm's length till Longstreet came up on the southern flank. Again the opposing armies closed and fought with the greatest determination for over an hour, when the Confederates fell back in some confusion. Then Longstreet arrived and restored the battle till he was severely wounded. After this Lee took command of his right, or southern, wing and kept up the fight all day. Meanwhile Sheridan had countered the Confederate cavalry under Stuart, which had been trying to swing round the same southern flank. The main bodies of infantry swayed back and forth till dark, with the woods and breastworks on fire in several places, and many of the wounded smothering in the smoke. On the seventh reassuring news came in from Sherman and Butler, Sheridan drove off the Confederate cavalry at Todd's Tavern, and the southward march continued. As Grant and Meade rode south that evening, past Hancock's corps, and the men saw they were heading straight for Richmond, there was such a burst of cheering that the Confederates, thinking it meant a night attack, deluged the intervening woods with a heavy barrage till they found out their mistake.