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487 lines
13 KiB
C++
487 lines
13 KiB
C++
//myClasses/Algorithms.cpp
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//Matthew Ellison
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// Created: 11-14-18
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//Modified: 02-28-19
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//This is the file that tests all my algorithms, both for speed and accuracy
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/*
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Copyright (C) 2019 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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#include <iostream>
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#include <vector>
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#include <string>
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#include <random>
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#include <gmpxx.h>
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#include "Algorithms.hpp"
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#include "Stopwatch.hpp"
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//Defines a type for functions so there can be an array of functions
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typedef bool (*boolFn)();
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//A function to test every set of funtions in Algorithms.hpp
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//Some of the functions are overloaded, so I test all overloaded functions in each function
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bool testGetPrimes();
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bool testGetNumPrimes();
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bool testGetFactors();
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bool tetsGetDivisors();
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bool testGetSum();
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bool testGetProduct();
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bool testIsFound();
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bool testGetPermutations();
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bool testGetFib();
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bool testGetAllFib();
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bool testBubbleSort();
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bool testQuickSort();
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bool testSearch();
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bool testFindMin();
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bool testFindMax();
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int main(){
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mee::Stopwatch timer;
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bool passedTest = false;
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std::vector<boolFn> functions {testGetPrimes, testGetNumPrimes, testGetFactors, tetsGetDivisors, testGetSum, testGetProduct, testIsFound, testGetPermutations,
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testGetFib, testGetAllFib, testBubbleSort, testQuickSort, testSearch, testFindMin, testFindMax};
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std::vector<std::string> names {"getPrimes", "getNumPrimes", "getFactors", "getDivisors", "getSum", "getProduct", "isFound", "getPermutations",
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"getFib", "getAllFib", "bubbleSort", "quickSort", "search", "findMin", "findMax"};
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//Start doing tests and print out the results of each
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for(int cnt = 0;cnt < functions.size();++cnt){
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timer.start();
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passedTest = functions[cnt]();
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timer.stop();
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if(passedTest){
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std::cout << "Function " << names.at(cnt) << "() passed the test\n";
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}
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else{
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std::cout << "Function " << names.at(cnt) << "() failed the test\n";
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}
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std::cout << "The test took " << timer.getStr() << "\n\n" << std::endl;
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}
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return 0;
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}
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bool testGetPrimes(){
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std::vector<uint64_t> correctAnswer {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97};
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uint64_t topNum = 100;
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std::vector<uint64_t> answer = mee::getPrimes(topNum);
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if(correctAnswer != answer){
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return false;
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}
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//If the false was not triggered it must have passed all tests
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return true;
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}
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bool testGetNumPrimes(){
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std::vector<uint64_t> correctAnswer {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97};
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uint64_t numPrimes = 25;
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std::vector<uint64_t> answer = mee::getNumPrimes(numPrimes);
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if(correctAnswer != answer){
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return false;
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}
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//If the false was not triggered it must have passed all tests
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return true;
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}
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bool testGetFactors(){
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std::vector<uint64_t> correctAnswer {2, 2, 5, 5};
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uint64_t number = 100;
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std::vector<uint64_t> answer = mee::getFactors(number);
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if(correctAnswer != answer){
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return false;
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}
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correctAnswer = {2, 7, 7};
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number = 98;
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answer = mee::getFactors(number);
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if(correctAnswer != answer){
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return false;
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}
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//If a false was not triggered it must have passed all tests
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return true;
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}
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bool tetsGetDivisors(){
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std::vector<uint64_t> correctAnswer {1, 2, 4, 5, 10, 20, 25, 50, 100};
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uint64_t topNum = 100;
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std::vector<uint64_t> answer = mee::getDivisors(topNum);
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if(correctAnswer != answer){
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return false;
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}
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//If the false was not triggered it must have passed all tests
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return true;
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}
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bool testGetSum(){
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uint64_t correctAnswer = 1060;
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uint64_t topNum = 100;
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uint64_t answer = mee::getSum(mee::getPrimes(topNum));
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if(correctAnswer != answer){
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return false;
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}
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//If the false was not triggered it must have passed all tests
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return true;
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}
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bool testGetProduct(){
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uint64_t correctAnswer = 0;
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std::vector<uint64_t> numbers = {};
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uint64_t answer = mee::getProduct(numbers);
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if(correctAnswer != answer){
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return false;
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}
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correctAnswer = 57600;
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numbers = {2, 2, 3, 3, 4, 4, 100};
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answer = mee::getProduct(numbers);
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if(correctAnswer != answer){
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return false;
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}
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//If a false was not triggered it must have passed all tests
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return true;
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}
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bool testIsFound(){
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bool correctAnswer = true;
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std::vector<uint64_t> testVector = mee::getPrimes((uint64_t)100);
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uint64_t searchFor = 79;
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bool answer = mee::isFound(testVector, searchFor);
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if(answer != correctAnswer){
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std::cout << "isFound() is failed at test 1" << std::endl;
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return false;
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}
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searchFor = 97;
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answer = mee::isFound(testVector, searchFor);
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if(answer != correctAnswer){
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std::cout << "isFound() is failed at test 2" << std::endl;
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return false;
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}
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searchFor = 88;
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correctAnswer = false;
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answer = mee::isFound(testVector, searchFor);
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if(answer != correctAnswer){
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std::cout << "isFound() is failed at test 3" << std::endl;
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return false;
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}
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//If the false was not triggered it must have passed all tests
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return true;
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}
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bool testGetPermutations(){
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std::string permString = "012";
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std::vector<std::string> correctAnswer {"012", "021", "102", "120", "201", "210"};
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std::vector<std::string> answer = mee::getPermutations(permString);
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if(answer != correctAnswer){
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return false;
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}
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//If the false was not triggered it must have passed all tests
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return true;
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}
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bool testGetFib(){
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//Test the imbeded type getFib function
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uint64_t correctAnswer = 144;
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uint64_t number = 12;
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uint64_t answer = mee::getFib(number);
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if(correctAnswer != answer){
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std::cout << "getFit() failed at test 1" << std::endl;
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return false;
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}
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number = 20;
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correctAnswer = 6765;
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answer = mee::getFib(number);
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if(correctAnswer != answer){
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std::cout << "getFit() failed at test 2" << std::endl;
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return false;
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}
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//Test the gmp integer function
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mpz_class mpzNumber = 12;
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mpz_class longCorrectAnswer = 144;
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mpz_class longAnswer = mee::getFib(mpzNumber);
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if(longCorrectAnswer != longAnswer){
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std::cout << "getFib() for mpz failed at test 3" << std::endl;
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return false;
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}
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mpzNumber = 4782;
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longCorrectAnswer = "1070066266382758936764980584457396885083683896632151665013235203375314520604694040621889147582489792657804694888177591957484336466672569959512996030461262748092482186144069433051234774442750273781753087579391666192149259186759553966422837148943113074699503439547001985432609723067290192870526447243726117715821825548491120525013201478612965931381792235559657452039506137551467837543229119602129934048260706175397706847068202895486902666185435124521900369480641357447470911707619766945691070098024393439617474103736912503231365532164773697023167755051595173518460579954919410967778373229665796581646513903488154256310184224190259846088000110186255550245493937113651657039447629584714548523425950428582425306083544435428212611008992863795048006894330309773217834864543113205765659868456288616808718693835297350643986297640660000723562917905207051164077614812491885830945940566688339109350944456576357666151619317753792891661581327159616877487983821820492520348473874384736771934512787029218636250627816";
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longAnswer = mee::getFib(mpzNumber);
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if(longCorrectAnswer != longAnswer){
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std::cout << "getFib() for mpzfailed at test 4" << std::endl;
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return false;
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}
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//If the false was not triggered it must have passed all tests
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return true;
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}
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bool testGetAllFib(){
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std::vector<uint64_t> correctAnswer {1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89};
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uint64_t highestNumber = 100;
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std::vector<uint64_t> answer = mee::getAllFib(highestNumber);
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if(correctAnswer != answer){
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return false;
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}
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correctAnswer = {1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987};
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highestNumber = 1000;
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answer = mee::getAllFib(highestNumber);
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if(correctAnswer != answer){
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return false;
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}
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//If a false was not triggered it must have passed all tests
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return true;
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}
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bool testBubbleSort(){
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unsigned int NUM_TO_GENERATE = 10000;
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std::default_random_engine generator(std::random_device{}());
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std::uniform_int_distribution<int> dist(1, INT_MAX);
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std::vector<int> nums;
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//Run through the appropriate number of numbers to generate and add them to the vector
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for(int cnt = 0;cnt < NUM_TO_GENERATE;++cnt){
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nums.push_back(dist(generator));
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}
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//Sort the numbers with my algorithm
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mee::bubbleSort(nums);
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//Make sure each number is not < the one in behind it
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for(int cnt = 1;cnt < nums.size();++cnt){
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if(nums.at(cnt) < nums.at(cnt - 1)){
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return false;
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std::cout << "nums.size() " << nums.size() << "\ncnt " << cnt << std::endl;
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}
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}
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//If the false was not triggered then everything must have been sorted correctly
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return true;
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}
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bool testQuickSort(){
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unsigned int NUM_TO_GENERATE = 10000;
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std::default_random_engine generator(std::random_device{}());
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std::uniform_int_distribution<int> dist(1, INT_MAX);
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std::vector<int> nums;
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//Run through the appropriate number of numbers to generate and add them to the vector
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for(int cnt = 0;cnt < NUM_TO_GENERATE;++cnt){
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nums.push_back(dist(generator));
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}
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//Sort the numbers with my algorithm
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mee::quickSort(nums);
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//Make sure each number is not < the one in behind it
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for(int cnt = 1;cnt < nums.size();++cnt){
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if(nums.at(cnt) < nums.at(cnt - 1)){
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return false;
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}
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}
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//If the false was not triggered then everything must have been sorted correctly
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return true;
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}
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bool testSearch(){
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int64_t found = -1;
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//Create a vector of numbers
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std::vector<int> nums {1, 20, 3, 40, 5, 60, 7, 80, 9};
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//Search for one that is in the vector
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found = mee::search(nums, 1);
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if(found != 0){ //This number is in the vector, if it was not found in the vector there is a problem
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return false;
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}
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//Search for another that is in the vector
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found = mee::search(nums, 9);
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if(found != 8){ //This number is in the vector, if it was not found in the vector there is a problem
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return false;
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}
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//Search for another that is in the vector
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found = mee::search(nums, 60);
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if(found != 5){ //This number is in the vector, if it was not found in the vector there is a problem
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return false;
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}
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//Search for a number that is not in the vector
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found = mee::search(nums, 6);
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if(found != -1){
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return false;
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}
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//If it didn't trigger a false then everything went through correctly
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return true;
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}
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bool testFindMin(){
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std::vector<int> arr {1, 2, 3, 4, 5, 6, 7, 8, 9};
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int answer = 0;
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//Test first
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answer = mee::findMin(arr);
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if(answer != 1){
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return false;
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}
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//Test last
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answer = 0;
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arr = {9, 8, 7, 6, 5, 4, 3, 2, 1};
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answer = mee::findMin(arr);
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if(answer != 1){
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return false;
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}
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//Test middle
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answer = 0;
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arr = {9, 5, 3, 6, 8, 1, 7, 2, 4};
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answer = mee::findMin(arr);
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if(answer != 1){
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return false;
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}
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//Test negative
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answer = 0;
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arr = {-1, -2, -3, -4, -5, -6, -7, -8, -9};
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answer = mee::findMin(arr);
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if(answer != -9){
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return false;
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}
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//If it hasn't failed a test then return true for passing all the tests
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return true;
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}
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bool testFindMax(){
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std::vector<int> arr {1, 2, 3, 4, 5, 6, 7, 8, 9};
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int answer = 0;
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//Test last
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answer = mee::findMax(arr);
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if(answer != 9){
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return false;
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}
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//Test first
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answer = 0;
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arr = {9, 8, 7, 6, 5, 4, 3, 2, 1};
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answer = mee::findMax(arr);
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if(answer != 9){
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return false;
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}
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//Test middle
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answer = 0;
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arr = {9, 5, 3, 6, 8, 1, 7, 2, 4};
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answer = mee::findMax(arr);
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if(answer != 9){
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return false;
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}
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//Test negative
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answer = 0;
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arr = {-1, -2, -3, -4, -5, -6, -7, -8, -9};
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answer = mee::findMax(arr);
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if(answer != -1){
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return false;
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}
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//If it hasn't failed a test then return true for passing all the tests
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return true;
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}
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/* Results:
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Function getPrimes() passed the test
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The test took 0.000 nanoseconds
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Function getNumPrimes() passed the test
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The test took 0.000 nanoseconds
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Function getFactors() passed the test
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The test took 0.000 nanoseconds
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Function getDivisors() passed the test
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The test took 0.000 nanoseconds
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Function getSum() passed the test
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The test took 0.000 nanoseconds
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Function getProduct() passed the test
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The test took 0.000 nanoseconds
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Function isFound() passed the test
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The test took 0.000 nanoseconds
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Function getPermutations() passed the test
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The test took 0.000 nanoseconds
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Function getFib() passed the test
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The test took 0.000 nanoseconds
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Function getAllFib() passed the test
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The test took 0.000 nanoseconds
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Function bubbleSort() passed the test
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The test took 142.002 milliseconds
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Function quickSort() passed the test
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The test took 1.003 milliseconds
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Function search() passed the test
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The test took 0.000 nanoseconds
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Function findMin() passed the test
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The test took 0.000 nanoseconds
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Function findMax() passed the test
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The test took 0.000 nanoseconds
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*/
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