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Updated for performance
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@@ -1,11 +1,11 @@
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//ProjectEuler/Java/Problem27.java
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//ProjectEulerJava/src/main/java/mattrixwv/ProjectEuler/Problems/Problem27.java
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//Matthew Ellison
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//Matthew Ellison
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// Created: 09-15-19
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// Created: 09-15-19
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//Modified: 09-15-19
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//Modified: 06-17-20
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//Find the product of the coefficients, |a| < 1000 and |b| <= 1000, for the quadratic expression that produces the maximum number of primes for consecutive values of n, starting with n=0.
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//Find the product of the coefficients, |a| < 1000 and |b| <= 1000, for the quadratic expression that produces the maximum number of primes for consecutive values of n, starting with n=0.
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/JavaClasses
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/JavaClasses
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/*
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/*
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Copyright (C) 2019 Matthew Ellison
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Copyright (C) 2020 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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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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it under the terms of the GNU Lesser General Public License as published by
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@@ -30,11 +30,11 @@ import java.util.ArrayList;
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public class Problem27 extends Problem{
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public class Problem27 extends Problem{
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//The A for the most n's generated
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//The A for the most n's generated
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private Integer topA = 0;
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private int topA = 0;
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//The B for the most n's generated
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//The B for the most n's generated
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private Integer topB = 0;
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private int topB = 0;
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//The most n's generated
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//The most n's generated
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private Integer topN = 0;
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private int topN = 0;
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//A list of all primes that could possibly be generated with this formula
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//A list of all primes that could possibly be generated with this formula
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private ArrayList<Integer> primes = Algorithms.getPrimes(12000);
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private ArrayList<Integer> primes = Algorithms.getPrimes(12000);
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@@ -46,12 +46,12 @@ public class Problem27 extends Problem{
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timer.start();
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timer.start();
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//Start with the lowest possible A and check all possibilities after that
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//Start with the lowest possible A and check all possibilities after that
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for(Integer a = -999;a <= 999;++a){
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for(int a = -999;a <= 999;++a){
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//Start with the lowest possible B and check all possibilities after that
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//Start with the lowest possible B and check all possibilities after that
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for(Integer b = -1000;b <=1000;++b){
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for(int b = -1000;b <=1000;++b){
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//Start with n=0 and check the formula to see how many primes you can get get with concecutive n's
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//Start with n=0 and check the formula to see how many primes you can get with concecutive n's
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Integer n = 0;
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int n = 0;
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Integer quadratic = (n * n) + (a * n) + b;
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int quadratic = (n * n) + (a * n) + b;
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while(Algorithms.isFound(primes, quadratic)){
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while(Algorithms.isFound(primes, quadratic)){
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++n;
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++n;
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quadratic = (n * n) + (a * n) + b;
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quadratic = (n * n) + (a * n) + b;
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@@ -79,5 +79,5 @@ public class Problem27 extends Problem{
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The greatest number of primes found is 70
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The greatest number of primes found is 70
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It was found with A = -61, B = 971
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It was found with A = -61, B = 971
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The product of A and B is -59231
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The product of A and B is -59231
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It took 4.772 seconds to solve this problem.
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It took 3.184 seconds to solve this problem.
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*/
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*/
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