Binary search done!

It was interesting that int in jave has a bigger range than int in C++
Java: https://cs.fit.edu/~ryan/java/language/java-data.html
C++: https://stackoverflow.com/questions/1819189/what-range-of-values-can-integer-types-store-in-c
I used vector<int> initially, which failed on grader's test case 17/36.
Changing that to vector<long> fixed it! Also interesting that recursive
approach appears to be slightly faster with slighter bigger memory
usage.

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