Two sailboats, the Breeze Sneeze and the Wind Faire, were racing by tacking back and forth upwind. Note: Tacking means changing direction.
The Breeze Sneeze sailed $D$ units east then $D$ units north. The Wind Faire sailed $D+1$ units east and $D-1$ units north. Both boats began sailing at time $t=0$ and sailed for $T$ seconds.
Which boat had the greatest displacement during this time?