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Checkmate or not?

Answer: Yes

the 5b-Rook controls : 1b-square and 2b-square.

the 5d-Bishop controls: 2a-square.

Get out of check

Solution

K8h

Get out of check

Solution

K7i

Checkmate in 1

Solution

1.B3b+

Checkmate in 3

Solution

1.B5c+ 2.Gx5c 3.+R3b

Get out of check

Solution

K9i

Get out of check

Solution

K9h

Checkmate in 3

Solution

1.+R3a 2.Sx3a 3.R2a+

Checkmate in 3

Solution

1.R*1a 2.Kx1a 3.+R2a

Get out of check

Solution

K7h