How an Allied Norway could have shortened the war

How might an Allied victory in Norway in 1940 have changed the Second World War?

It could have shortened the war by denying German bases and Norwegian resources, constraining U-boats, and making the Arctic supply route to the Soviet Union much easier to protect.

An Allied Norway would place airfields and bases on both sides of the North Sea, allowing stronger patrol coverage and mine barriers against German submarines. Germany would lose Norwegian iron ore, fish-oil lubricants, and forward bases used against Arctic convoys. The scenario could also improve aid to the Soviet Union and complicate German movement through Scandinavia; it remains a reasoned counterfactual rather than a claim of certainty.