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Why is pow(a, d, n) so much faster than a**d % n?

I was trying to implement a Miller-Rabin primality test , and was puzzled why it was taking so long (> 20 seconds) for midsize numbers (~7 digits). I eventually found the following line of code to be the source of the problem: ...
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Querying DynamoDB by date

I'm coming from a relational database background and trying to work with amazon's DynamoDB 7 Answers ...
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What makes a keychain item unique (in iOS)?

...ws (derived from open source files from Apple, see Schema.m4, KeySchema.m4 and SecItem.cpp): For a keychain item of class kSecClassGenericPassword, the primary key is the combination of kSecAttrAccount and kSecAttrService. For a keychain item of class kSecClassInternetPassword, the primary key is...
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Highlight a word with jQuery

...ipt-text-higlighting-jquery-plugin.html * * Code a little bit refactored and cleaned (in my humble opinion). * Most important changes: * - has an option to highlight only entire words (wordsOnly - false by default), * - has an option to be case sensitive (caseSensitive - false by default) * ...
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Sell me on const correctness

... be changed, It protects you from making accidental variable assignments, and The compiler can optimize it. For instance, you are protected from if( x = y ) // whoops, meant if( x == y ) At the same time, the compiler can generate more efficient code because it knows exactly what the state of...
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Is there a max array length limit in C++?

... the restrictions of the size type used to describe an index in the array (and the size thereof). It is given by the maximum value the system's std::size_t can take. This data type is large enough to contain the size in bytes of any object The other limit is a physical memory limit. The larger your...
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Generate a Hash from string in Javascript

...same as hash * 31 + char but a LOT faster. It's nice because it's so fast, and 31 is a small prime. Win win there. – corsiKa Sep 30 '11 at 21:59 43 ...
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What are the use(s) for tags in Go?

...ues of struct fields. Basically we need to acquire the Type of our struct, and then we can query fields e.g. with Type.Field(i int) or Type.FieldByName(name string). These methods return a value of StructField which describes / represents a struct field; and StructField.Tag is a value of type Struct...
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Test if lists share any items in python

... generally the fastest. There are four common ways to test if two lists a and b share any items. The first option is to convert both to sets and check their intersection, as such: bool(set(a) & set(b)) Because sets are stored using a hash table in Python, searching them is O(1) (see here for...
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What do the plus and minus signs mean in Objective-C next to a method?

In Objective-C, I would like to know what the + and - signs next to a method definition mean. 4 Answers ...