AC Bridge Circuit

An AC voltage source excites a bridge circuit as shown below. What is the magnitude of the current flowing out of the source?

Details and Assumptions:
1) $V_S = 10 + j 0$
2) $Z_1 = 3 + j 0$
3) $Z_2 = 0 + j 2$
4) $Z_3 = 0 - j 1$
5) $Z_4 = 1 + j 1$
6) $Z_5 = 2 - j 1$
7) $j = \sqrt{-1}$