Clear Circles on the World Map by Main City

Oh no, the world map has been covered up with circles! To clear a circle you have to type a city inside it that is either:
A) a world capital
B) one of the 2 largest cities
C) one of the 2 cities furthest from a larger city

Explanation of colours:
Big circles:
- blue indicates presence of capital cities
- red indicates lack of cities

City circles:
- red means it's not one of the largest
- green means it's not one of the furthest from a larger city
- blue means it's a capital city

So:
- a white dot means it has all 3 colours, hence it indicates a capital city that is neither one of the largest or one of the furthest to a larger city inside its circle
- a black dot means it as none of the 3 colours, hence it indicates a non-capital city that is both one of the largest and one of the furthest from a larger city in its circle.