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@ -5,4 +5,11 @@ Several project euler problems solved in C++
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# Euler problem 1 :
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<p>If we list all the natural numbers below $10$ that are multiples of $3$ or $5$, we get $3, 5, 6$ and $9$. The sum of these multiples is $23$.</p>
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<p>Find the sum of all the multiples of $3$ or $5$ below $1000$.</p>
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<p>Find the sum of all the multiples of $3$ or $5$ below $1000$.</p>
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# Euler problem 2 :
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<p>Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with $1$ and $2$, the first $10$ terms will be:
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$$1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \dots$$</p>
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<p>By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.</p>
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@ -4,12 +4,14 @@
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#include <iostream>
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#include <cassert>
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#include "euler_p1.h"
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#include "euler_p2.h"
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void unit_tests() {
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assert(euler1(10) == 23);
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assert(euler2(10) == 10);
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std::cout << "All tests passed! continues main." << std::endl;
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}
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@ -19,10 +21,16 @@ int euler_p1() {
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return res;
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}
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int euler_p2() {
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int res = euler2(4000000);
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return res;
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}
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int main()
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{
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unit_tests();
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std::cout << "the result for problem 1 = " << euler_p1() << std::endl;
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std::cout << "the result for problem 2 = " << euler_p2() << std::endl;
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}
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@ -129,9 +129,11 @@
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<ItemGroup>
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<ClCompile Include="euler.cpp" />
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<ClCompile Include="euler_p1.cpp" />
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<ClCompile Include="euler_p2.cpp" />
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</ItemGroup>
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<ItemGroup>
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<ClInclude Include="euler_p1.h" />
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<ClInclude Include="euler_p2.h" />
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</ItemGroup>
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<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
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<ImportGroup Label="ExtensionTargets">
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@ -21,10 +21,16 @@
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<ClCompile Include="euler_p1.cpp">
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<Filter>Source Files</Filter>
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</ClCompile>
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<ClCompile Include="euler_p2.cpp">
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<Filter>Source Files</Filter>
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</ClCompile>
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</ItemGroup>
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<ItemGroup>
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<ClInclude Include="euler_p1.h">
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<Filter>Source Files</Filter>
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</ClInclude>
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<ClInclude Include="euler_p2.h">
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<Filter>Source Files</Filter>
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</ClInclude>
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</ItemGroup>
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</Project>
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26
euler/euler/euler_p2.cpp
Normal file
26
euler/euler/euler_p2.cpp
Normal file
@ -0,0 +1,26 @@
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#include "euler_p2.h"
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/*
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Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:
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1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
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By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.
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*/
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int euler2(int limit) {
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int current = 1;
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int previous = 1;
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int temp = 0;
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int result = 0;
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while (temp < limit) {
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temp = current + previous;
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previous = current;
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current = temp;
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if (temp % 2 == 0)
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{
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result += temp;
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}
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}
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return result;
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}
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13
euler/euler/euler_p2.h
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13
euler/euler/euler_p2.h
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@ -0,0 +1,13 @@
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#pragma once
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#pragma once
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/**
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* @brief Solves Euler problem 2: Even Fibonacci Numbers
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*
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* This function calculates the sum of all the even numbers in the fibonacchi sequence with the upper limit as close to given limit
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*
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* @param limit The upper limit for the range to consider (should be positive).
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* @return The sum of every even fibbonachi number lower then the limit.
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*
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* @note This function only works with positive integer inputs.
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*/
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int euler2(int limit);
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