Binghamton University said its Red Cross shelters are full and not accepting any more evacuees from severe flooding caused by Tropical Storm Lee.

A Broome County state of emergency still remains in effect and all university classes have been canceled for Friday.

The swelling waters of the Susquehanna River forced about 20,000 people to seek higher ground as heavy rains pushed already swollen rivers to record levels. Binghamton was banned to all but emergency workers.

The situation is dire, Binghamton Mayor Matt Ryan told The Associated Press. It's the worst flooding in the history of Binghamton at least since the flood walls were built in the 1930s and '40s.

Tropical Storm Lee has dumped between four and seven inches of rainfall, an up to 10 inches in isolated pockets, of the U.S. Northeast -- an area still recovering from Hurrican Irene last week. Tropical Storm Lee formed off the Louisiana coast late last week and gained strength while it stayed in the Gulf of Mexico. The slow-moving system dumped more than a foot of rain in New Orleans before moving onto Mississippi and Alabama.