mirror of
https://bitbucket.org/Mattrixwv/projecteulerts.git
synced 2025-12-06 17:43:59 -05:00
Added solution to problem 9
This commit is contained in:
@@ -32,11 +32,12 @@ import { Problem5 } from "./Problems/Problem5";
|
||||
import { Problem6 } from "./Problems/Problem6";
|
||||
import { Problem7 } from "./Problems/Problem7";
|
||||
import { Problem8 } from "./Problems/Problem8";
|
||||
import { Problem9 } from "./Problems/Problem9";
|
||||
|
||||
|
||||
export class ProblemSelection{
|
||||
//Holds the valid problem numbers
|
||||
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8];
|
||||
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9];
|
||||
|
||||
//Returns the problem corresponding to the given problem number
|
||||
public static getProblem(problemNumber: number): Problem{
|
||||
@@ -50,6 +51,7 @@ export class ProblemSelection{
|
||||
case 6 : problem = new Problem6(); break;
|
||||
case 7 : problem = new Problem7(); break;
|
||||
case 8 : problem = new Problem8(); break;
|
||||
case 9 : problem = new Problem9(); break;
|
||||
}
|
||||
return problem;
|
||||
}
|
||||
|
||||
145
Problems/Problem9.ts
Normal file
145
Problems/Problem9.ts
Normal file
@@ -0,0 +1,145 @@
|
||||
//ProjectEulerTS/Problems/Problem9.ts
|
||||
//Matthew Ellison
|
||||
// Created: 03-24-21
|
||||
//Modified: 03-24-21
|
||||
//There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.
|
||||
//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 { Problem } from "./Problem";
|
||||
import { Unsolved } from "../Unsolved";
|
||||
|
||||
|
||||
export class Problem9 extends Problem{
|
||||
//Variables
|
||||
//Static variables
|
||||
private static GOAL_SUM: number = 1000; //The number that we want the sum of a, b, and c to equal
|
||||
//Instance variables
|
||||
private a: number; //The size of the first side
|
||||
private b: number; //The size of the second side
|
||||
private c: number; //The size of the hyp
|
||||
private found: boolean; //A flag to determine if we have found the solution yet
|
||||
|
||||
//Functions
|
||||
//Constructor
|
||||
public constructor(){
|
||||
super(`There exists exactly one Pythagorean triplet for which a + b + c = ${Problem9.GOAL_SUM}. Find the product abc.`);
|
||||
this.a = 1;
|
||||
this.b = 0;
|
||||
this.c = 0;
|
||||
this.found = false;
|
||||
}
|
||||
//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();
|
||||
|
||||
//Loop through all possible a's
|
||||
while((this.a < Problem9.GOAL_SUM) && (!this.found)){
|
||||
this.b = this.a + 1; //b must be larger than a
|
||||
this.c = Math.hypot(this.a, this.b); //Compute the hyp
|
||||
|
||||
//Loop through all possible b's for this a
|
||||
while((this.a + this.b + this.c) < Problem9.GOAL_SUM){
|
||||
++this.b;
|
||||
this.c = Math.hypot(this.a, this.b);
|
||||
}
|
||||
|
||||
//If the sum == 1000 you found the number, otherwise go to the next possible a
|
||||
if((this.a + this.b + this.c) == Problem9.GOAL_SUM){
|
||||
this.found = true;
|
||||
}
|
||||
else{
|
||||
++this.a;
|
||||
}
|
||||
}
|
||||
|
||||
//Stop the timer
|
||||
this.timer.stop();
|
||||
|
||||
//Throw a flag to show the problem is solved
|
||||
if(this.found){
|
||||
this.solved = true;
|
||||
}
|
||||
else{
|
||||
throw new Unsolved("The problem was not solved!");
|
||||
}
|
||||
}
|
||||
//Reset the problem so it can be run again
|
||||
public reset(): void{
|
||||
super.reset();
|
||||
this.a = 1;
|
||||
this.b = 0;
|
||||
this.c = 0;
|
||||
this.found = false;
|
||||
}
|
||||
//Gets
|
||||
//Returns the result of solving the problem
|
||||
public getResult(): string{
|
||||
//If the problem hasn't been solved throw an exception
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return `The Pythagorean triplet is ${this.a} + ${this.b} + ${this.c}\nThe numbers' product is ${this.getProduct()}`;
|
||||
}
|
||||
//Returns the length of the first side
|
||||
public getSideA(): number{
|
||||
//If the problem hasn't been solved throw an exception
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return this.a;
|
||||
}
|
||||
//Returns the length of the second side
|
||||
public getSideB(): number{
|
||||
//If the problem hasn't been solved throw an exception
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return this.b;
|
||||
}
|
||||
//Returns the length of the hyp
|
||||
public getSideC(): number{
|
||||
//If the problem hasn't been solved throw an exception
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return this.c;
|
||||
}
|
||||
//Returns the product of the 3 sides
|
||||
public getProduct(): number{
|
||||
//If the problem hasn't been solved throw an exception
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return this.a * this.b * this.c;
|
||||
}
|
||||
}
|
||||
|
||||
/* Results:
|
||||
The Pythagorean triplet is 200 + 375 + 425
|
||||
The numbers' product is 31875000
|
||||
It took an average of 2.191 milliseconds to run this problem through 100 iterations
|
||||
*/
|
||||
Reference in New Issue
Block a user