Enumerating all 7-Move solutions of today's puzzle, I expected some kind simple pattern, like some key moves with a few permutations. I found that it is far more complex:

- there are 1536 solutions

- almost all moves are useful, non are required

- for every row-xoring move there is exactly one column-xoring move that appears in the same number of solutions (and no move appears twice in a solution)

Here is the number of solutions a move appears in (0-based indices):

  C3→2    R2→3    0
  C3→1    R2→1    82
  C2→0    R3→0    93
  C0→3    R0→2    163
  C2→1    R3→1    342
  C1→3    R1→2    426
  C1→2    R1→3    558
  C3→0    R2→0    614
  C2→3    R3→2    640
  C1→0    R1→0    726
  C0→1    R0→1    810
  C0→2    R0→3    922