Update 4_Silver_BinSearch.md
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---
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slug: /silver/binary-search
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title: "Binary Search"
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author: Nathan Chen (incomplete)
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author: Unknown
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order: 4
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prerequisites:
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-
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<!-- END DESCRIPTION -->
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## The Basic Application
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Find an element in a sorted array in O(log N) time.
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### Tutorial
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- [GeeksForGeeks]([https://www.geeksforgeeks.org/binary-search/](https://www.geeksforgeeks.org/binary-search/))
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- [Wikipedia]([https://en.wikipedia.org/wiki/Binary_search_algorithm](https://en.wikipedia.org/wiki/Binary_search_algorithm))
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### Problems
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- [USACO Silver Counting Haybales]([http://www.usaco.org/index.php?page=viewproblem2&cpid=666](http://www.usaco.org/index.php?page=viewproblem2&cpid=666))
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## Binary Searching on the Answer
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Oftentimes used when you need to find the "minimum" or "maximum" of some quantity that satisfies a property.
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### Tutorial
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- [CPH Section 12.1]([https://www.overleaf.com/project/5e73f65cde1d010001224d8a](https://www.overleaf.com/project/5e73f65cde1d010001224d8a))
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### Problems
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- [USACO Silver Cownvention]([http://www.usaco.org/index.php?page=viewproblem2&cpid=858](http://www.usaco.org/index.php?page=viewproblem2&cpid=858))
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- [USACO Silver Cow Dance]([http://www.usaco.org/index.php?page=viewproblem2&cpid=690](http://www.usaco.org/index.php?page=viewproblem2&cpid=690))
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- [USACO Silver Social Distancing]([http://www.usaco.org/index.php?page=viewproblem2&cpid=1038](http://www.usaco.org/index.php?page=viewproblem2&cpid=1038))
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- [USACO Silver Loan Repayment]([http://www.usaco.org/index.php?page=viewproblem2&cpid=991](http://www.usaco.org/index.php?page=viewproblem2&cpid=991))
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- Also needs some math and "sqrt" analysis
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- [USACO Silver Angry Cows]([http://usaco.org/index.php?page=viewproblem2&cpid=594](http://usaco.org/index.php?page=viewproblem2&cpid=594))
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