python - Numpy combine two 2d martixs -

i working puzzle in python .

what trying cover piece map .

for example :

 gamemap = np.array([[1 0 0]                      [0 1 0]                      [0 1 1]])  piece = np.array([[0, 1],                    [1, 1]]) 

how can put piece on map can result

[[1 1 0]  [1 2 0]  [0 1 1]] 

or

[[1 0 0]  [0 1 1]  [0 2 2]] 

thanks in advance .

one way "add" piece map use slicing. key selecting slice of gamemap same shape piece.

gamemap[0:2, 0:2] += piece 

output:

[[1 1 0]  [1 2 0]  [0 1 1]] 

or

gamemap[1:3, 1:3] += piece 

output:

[[1 0 0]  [0 1 1]  [0 2 2]]