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 <span id="projectnumber">1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="files"></a>
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Files</h2></td></tr>
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<tr class="memitem:d4/d5d/math_2armstrong__number_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d4/d5d/math_2armstrong__number_8cpp.html">armstrong_number.cpp</a></td></tr>
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<tr class="memdesc:d4/d5d/math_2armstrong__number_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Program to check if a number is an <a href="https://en.wikipedia.org/wiki/Narcissistic_number">Armstrong/Narcissistic number</a> in decimal system. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:de/dcf/binary__exponent_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="de/dcf/binary__exponent_8cpp.html">binary_exponent.cpp</a></td></tr>
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<tr class="memdesc:de/dcf/binary__exponent_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">C++ Program to find Binary Exponent Iteratively and Recursively. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d5/df6/check__amicable__pair_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d5/df6/check__amicable__pair_8cpp.html">check_amicable_pair.cpp</a></td></tr>
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<tr class="memdesc:d5/df6/check__amicable__pair_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">A C++ Program to check whether a pair of number is <a href="https://en.wikipedia.org/wiki/Amicable_numbers">amicable pair</a> or not. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:db/d93/check__prime_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="db/d93/check__prime_8cpp.html">check_prime.cpp</a></td></tr>
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<tr class="memdesc:db/d93/check__prime_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Reduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only. If number is <= 1 or if it is even except 2, break the loop and return false telling number is not prime. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d5/d67/complex__numbers_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d5/d67/complex__numbers_8cpp.html">complex_numbers.cpp</a></td></tr>
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<tr class="memdesc:d5/d67/complex__numbers_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">An implementation of <a class="el" href="da/d5a/class_complex.html" title="Class Complex to represent complex numbers as a field.">Complex</a> Number as Objects. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d7/d89/double__factorial_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d7/d89/double__factorial_8cpp.html">double_factorial.cpp</a></td></tr>
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<tr class="memdesc:d7/d89/double__factorial_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Compute <a href="https://en.wikipedia.org/wiki/Double_factorial">double factorial</a>: \(n!!\). <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:da/d23/eulers__totient__function_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="da/d23/eulers__totient__function_8cpp.html">eulers_totient_function.cpp</a></td></tr>
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<tr class="memdesc:da/d23/eulers__totient__function_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">C++ Program to find <a href="https://en.wikipedia.org/wiki/Euler%27s_totient_function">Euler's Totient</a> function. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d9/d5d/extended__euclid__algorithm_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d9/d5d/extended__euclid__algorithm_8cpp.html">extended_euclid_algorithm.cpp</a></td></tr>
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<tr class="memdesc:d9/d5d/extended__euclid__algorithm_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">GCD using <a href="https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm">extended Euclid's algorithm</a> <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d9/d00/factorial_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d9/d00/factorial_8cpp.html">factorial.cpp</a></td></tr>
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<tr class="memdesc:d9/d00/factorial_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">C++ program to find factorial of given number. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d2/d0b/fast__power_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d2/d0b/fast__power_8cpp.html">fast_power.cpp</a></td></tr>
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<tr class="memdesc:d2/d0b/fast__power_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Faster computation for \(a^b\). <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d9/d89/fibonacci_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d9/d89/fibonacci_8cpp.html">fibonacci.cpp</a></td></tr>
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<tr class="memdesc:d9/d89/fibonacci_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Generate fibonacci sequence. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d4/d32/fibonacci__fast_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d4/d32/fibonacci__fast_8cpp.html">fibonacci_fast.cpp</a></td></tr>
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<tr class="memdesc:d4/d32/fibonacci__fast_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Faster computation of Fibonacci series. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:de/de4/fibonacci__large_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="de/de4/fibonacci__large_8cpp.html">fibonacci_large.cpp</a></td></tr>
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<tr class="memdesc:de/de4/fibonacci__large_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d4/da0/gcd__iterative__euclidean_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d4/da0/gcd__iterative__euclidean_8cpp.html">gcd_iterative_euclidean.cpp</a></td></tr>
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<tr class="memdesc:d4/da0/gcd__iterative__euclidean_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Compute the greatest common denominator of two integers using <em>iterative form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d1/d11/gcd__of__n__numbers_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d1/d11/gcd__of__n__numbers_8cpp.html">gcd_of_n_numbers.cpp</a></td></tr>
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<tr class="memdesc:d1/d11/gcd__of__n__numbers_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">This program aims at calculating the GCD of n numbers by division method. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d4/d45/gcd__recursive__euclidean_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html">gcd_recursive_euclidean.cpp</a></td></tr>
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<tr class="memdesc:d4/d45/gcd__recursive__euclidean_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Compute the greatest common denominator of two integers using <em>recursive form</em> of <a href="https://en.wikipedia.org/wiki/Euclidean_algorithm">Euclidean algorithm</a> <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d6/d9d/large__factorial_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d6/d9d/large__factorial_8cpp.html">large_factorial.cpp</a></td></tr>
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<tr class="memdesc:d6/d9d/large__factorial_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Compute factorial of any arbitratily large number/. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d4/d86/large__number_8h"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d4/d86/large__number_8h.html">large_number.h</a> <a href="d4/d86/large__number_8h_source.html">[code]</a></td></tr>
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<tr class="memdesc:d4/d86/large__number_8h"><td class="mdescLeft"> </td><td class="mdescRight">Library to perform arithmatic operations on arbitrarily large numbers. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d4/d21/least__common__multiple_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d4/d21/least__common__multiple_8cpp.html">least_common_multiple.cpp</a></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d6/d42/miller__rabin_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d6/d42/miller__rabin_8cpp.html">miller_rabin.cpp</a></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d8/d53/modular__inverse__fermat__little__theorem_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html">modular_inverse_fermat_little_theorem.cpp</a></td></tr>
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<tr class="memdesc:d8/d53/modular__inverse__fermat__little__theorem_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">C++ Program to find the modular inverse using <a href="https://en.wikipedia.org/wiki/Fermat%27s_little_theorem">Fermat's Little Theorem</a> <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d0/da2/number__of__positive__divisors_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html">number_of_positive_divisors.cpp</a></td></tr>
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<tr class="memdesc:d0/da2/number__of__positive__divisors_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">C++ Program to calculate number of divisors. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:df/def/power__for__huge__numbers_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="df/def/power__for__huge__numbers_8cpp.html">power_for_huge_numbers.cpp</a></td></tr>
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<tr class="memdesc:df/def/power__for__huge__numbers_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Compute powers of large numbers. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:db/d0d/prime__factorization_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="db/d0d/prime__factorization_8cpp.html">prime_factorization.cpp</a></td></tr>
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<tr class="memdesc:db/d0d/prime__factorization_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Prime factorization of positive integers. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:de/d9b/prime__numbers_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="de/d9b/prime__numbers_8cpp.html">prime_numbers.cpp</a></td></tr>
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<tr class="memdesc:de/d9b/prime__numbers_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Get list of prime numbers. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d4/d9c/primes__up__to__billion_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html">primes_up_to_billion.cpp</a></td></tr>
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<tr class="memdesc:d4/d9c/primes__up__to__billion_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Compute prime numbers upto 1 billion. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d0/d08/realtime__stats_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d0/d08/realtime__stats_8cpp.html">realtime_stats.cpp</a></td></tr>
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<tr class="memdesc:d0/d08/realtime__stats_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Compute statistics for data entered in rreal-time. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:d8/ddf/sieve__of__eratosthenes_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html">sieve_of_eratosthenes.cpp</a></td></tr>
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<tr class="memdesc:d8/ddf/sieve__of__eratosthenes_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Get list of prime numbers using Sieve of Eratosthenes Sieve of Eratosthenes is an algorithm to find the primes that is between 2 to N (as defined in main). <br /></td></tr>
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<tr class="memitem:da/d24/sqrt__double_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="da/d24/sqrt__double_8cpp.html">sqrt_double.cpp</a></td></tr>
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<tr class="memdesc:da/d24/sqrt__double_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using <a href="https://en.wikipedia.org/wiki/Bisection_method">bisection method</a> of root-finding. <br /></td></tr>
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<tr class="memitem:de/d47/string__fibonacci_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="de/d47/string__fibonacci_8cpp.html">string_fibonacci.cpp</a></td></tr>
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<tr class="memdesc:de/d47/string__fibonacci_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">This Programme returns the Nth fibonacci as a string. <br /></td></tr>
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<tr class="memitem:d4/d83/sum__of__digits_8cpp"><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="d4/d83/sum__of__digits_8cpp.html">sum_of_digits.cpp</a></td></tr>
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<tr class="memdesc:d4/d83/sum__of__digits_8cpp"><td class="mdescLeft"> </td><td class="mdescRight">A C++ Program to find the Sum of Digits of input integer. <br /></td></tr>
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