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Upper bound and lower bound
What is the difference between upper_bound() and lower_bound() in c++?
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lower_bound - http://www.cplusplus.com/reference/algorithm/lower_bound/
"Returns an iterator pointing to the first element in the range [first,last) which does not compare less than val"
upper_bound - http://www.cplusplus.com/reference/algorithm/upper_bound/
"Returns an iterator pointing to the first element in the range [first,last) which compares greater than val."