Place non-overlapping digits like those below so that every gray square is covered, and each digit covers exactly that many squares. Rotations of digits are allowed, but reflections are not. Note that the 6 and 9 are different.

1. | 2. | 3. | 4. |

5. | 6. | 7. | 8. |

9. | 10. | 11. |

12. | 13. | 14. |

The solutions are here.