Added solution to problem27

This commit is contained in:
2021-05-24 14:09:37 -04:00
parent 59512d8f93
commit e622d3500d
2 changed files with 144 additions and 1 deletions

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@@ -50,12 +50,13 @@ import { Problem23 } from "./Problems/Problem23";
import { Problem24 } from "./Problems/Problem24";
import { Problem25 } from "./Problems/Problem25";
import { Problem26 } from "./Problems/Problem26";
import { Problem27 } from "./Problems/Problem27";
export class ProblemSelection{
//Holds the valid problem numbers
public static PROBLEM_NUMBERS: number[] = [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23, 24, 25, 26];
21, 22, 23, 24, 25, 26, 27];
//Returns the problem corresponding to the given problem number
public static getProblem(problemNumber: number): Problem{
@@ -87,6 +88,7 @@ export class ProblemSelection{
case 24: problem = new Problem24(); break;
case 25: problem = new Problem25(); break;
case 26: problem = new Problem26(); break;
case 27: problem = new Problem27(); break;
}
return problem;
}

141
Problems/Problem27.ts Normal file
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@@ -0,0 +1,141 @@
//ProjectEulerTS/Problems/Problem26.ts
//Matthew Ellison
// Created: 05-24-21
//Modified: 05-24-21
//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.
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/typescriptClasses
/*
Copyright (C) 2021 Matthew Ellison
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
import { isPrime } from "../../../Typescript/typescriptClasses/Algorithms";
import { Unsolved } from "../Unsolved";
import { Problem } from "./Problem";
export class Problem27 extends Problem{
//Variables
//Static variables
private static LARGEST_POSSIBLE_A: number = 999;
private static LARGEST_POSSIBLE_B: number = 1000;
//Instance variables
private topA: number; //The A for the most n's generated
private topB: number; //The B for the most n's generated
private topN: number; //The most n's generated
//Functions
//Constructor
public constructor(){
super(`Find the product of the coefficients, |a| <= ${Problem27.LARGEST_POSSIBLE_A} and |b| <= ${Problem27.LARGEST_POSSIBLE_B}, for the quadratic expression that produces the maximum number of primes for consecutive values of n, starting with n=0`);
this.topA = 0;
this.topB = 0;
this.topN = 0;
}
//Operational functions
//Solve the problem
public solve(): void{
//If the problem has already been solved do nothing and end the function
if(this.solved){
return;
}
//Start the timer
this.timer.start();
//Start with the lowest possible A and check all possibilities after that
for(let a: number = -Problem27.LARGEST_POSSIBLE_A; a <= Problem27.LARGEST_POSSIBLE_A;++a){
//Start witht he lowest possible B and check all possibilities after that
for(let b: number = -Problem27.LARGEST_POSSIBLE_B;b <= Problem27.LARGEST_POSSIBLE_B;++b){
//Start with n=0 and check the formula to see how many primes you can get the concecutive n's
let n: number = 0;
let quadratic: number = (n * n) + (a * n) + b;
while(isPrime(quadratic)){
++n;
quadratic = (n * n) + (a * n) + b;
}
--n; //Negate an n because the last formula failed
//Set all the largest number if this created more primes than any other
if(n > this.topN){
this.topN = n;
this.topB = b;
this.topA = a;
}
}
}
//Stop the timer
this.timer.stop();
//Throw a flag to show the problem solved
this.solved = true;
}
//Reset the problem so it can be run again
public reset(): void{
super.reset();
this.topA = 0;
this.topB = 0;
this.topN = 0;
}
//Gets
//Returns the result of solving the problem
public getResult(): string{
if(!this.solved){
throw new Unsolved();
}
return `The greatest number of primes found is ${this.topN}\nIt was found with A = ${this.topA}, B = ${this.topB}\nThe product of A and B is ${this.getProduct()}`;
}
//Returns the top A that was generated
public getTopA(): number{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.topA;
}
//Returns the top B that was generated
public getTopB(): number{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.topB;
}
//Returns the top N that was generated
public getTopN(): number{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.topN;
}
//Returns the product of A and B for the answer
public getProduct(): number{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.topA * this.topB;
}
}
/* Results:
The greatest number of primes found is 70
It was found with A = -61, B = 971
The product of A and B is -59231
It took an average of 50.251 milliseconds to run this problem through 100 iterations
*/