Roman Citadels

Divide the grid into seven provinces, each consisting of seven orthogonally connected cells. Every row, column and province must contain the digits 1 to 7 once each.

Every province contains a Citadel (circle). The seven citadels form a set of the digits 1-7.

Digits in caged cells indicate how many cells of the same province are seen orthogonally from that position, including itself. Other provinces block vision.

Digits separated by an X sum to 10. Digits separated by a V sum to 5. Additionally, X's and V's lie on the boundary between two provinces.