If ∣z−1∣=1|z-1|=1∣z−1∣=1 and ∣z−i∣=1|z-i|=1∣z−i∣=1, which of the following is a possible value for zzz?
1+i1+i1+i
000
1+i2\frac{1+i}{2}21+i
1−i1-i1−i