According to one embodiment, a controller manages a first set of blocks and a second set of blocks. The controller allocates a second block included in the second set of blocks to a first block included in the first set of blocks. In response to receiving one or more write command specifying the first block, the controller writes data associated with the one or more received write commands to the second block in units of a second minimum write size. When the first block is filled with data that has been written to the first block and unwritten region remains in the second block, the controller deallocates the second block from the first block, and allocates the deallocated second block to a write destination block other than the first block.