What I propose was to be used with your inheritance method. The else part
should also be changed to

```
            # the number of non-zero elements is smaller than the subregion
            smat = {}
            for rk, ck in self._smat:
                if rlo <= rk <= rhi and clo <= ck <= chi:
                    smat[(rk-rlo, ck-clo)] = self._smat[(rk, ck)]
            return self._new(r, c, smat)
```

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