What is the determinant of the 4×44 \times 44×4 matrix AAA where Aij=0A_{ij} = 0Aij=0 if i+j≤4i+j \leq 4i+j≤4 and Aij=1A_{ij} = 1Aij=1 if i+j>4i+j > 4i+j>4?
000
111
−1-1−1
222