You need to make a movie.h file and declare your vector in that:
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#ifndef _MOVIE_H_
#define _MOVIE_H_
#include <vector>
#include <string>
// declare the vector from your movie.cpp file as "extern" here
extern std::vector<std::string> movilist;
#endif // _MOVIE_H_
Then you need to #include "movie.h" in any file that wants to access the vector.