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First question: is it possible to "force" a const_iterator using auto? For example:

map<int> usa;
//...init usa
auto city_it = usa.find("New York");

I just want to query, instead of changing anything pointed by city_it, so I'd like to have city_it to be map<int>::const_iterator. But by using auto, city_it is the same to the return type of map::find(), which is map<int>::iterator. Any suggestion?

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Sorry, but I just think the best suggestion is not using auto at all, since you want to perform a (implicitly valid) type conversion. auto is meant for deducing the exact type, which is not what you want here.

Just write it this way:

std::map<std::string, int>::const_iterator city_it = usa.find("New York");

As correctly pointed out by MooingDuck, using type aliases can improve the readability and maintainability of your code:

typedef std::map<std::string, int> my_map;
my_map::const_iterator city_it = usa.find("New York");

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