Added solution to problem14

This commit is contained in:
2021-03-26 14:27:05 -04:00
parent 1087d2b0e7
commit f9522b13d6
2 changed files with 132 additions and 1 deletions

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@@ -37,11 +37,12 @@ import { Problem10 } from "./Problems/Problem10";
import { Problem11 } from "./Problems/Problem11";
import { Problem12 } from "./Problems/Problem12";
import { Problem13 } from "./Problems/Problem13";
import { Problem14 } from "./Problems/Problem14";
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];
public static PROBLEM_NUMBERS: number[] = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14];
//Returns the problem corresponding to the given problem number
public static getProblem(problemNumber: number): Problem{
@@ -60,6 +61,7 @@ export class ProblemSelection{
case 11: problem = new Problem11(); break;
case 12: problem = new Problem12(); break;
case 13: problem = new Problem13(); break;
case 14: problem = new Problem14(); break;
}
return problem;
}

129
Problems/Problem14.ts Normal file
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@@ -0,0 +1,129 @@
//ProjectEulerTS/Problems/Problem14.ts
//Matthew Ellison
// Created: 03-26-21
//Modified: 03-26-21
/*
The following iterative sequence is defined for the set of positive integers:
n → n/2 (n is even)
n → 3n + 1 (n is odd)
Which starting number, under one million, produces the longest chain?
*/
//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 { Unsolved } from "../Unsolved";
import { Problem } from "./Problem";
export class Problem14 extends Problem{
//Variables
//Static variables
private static MAX_NUM: number = 1000000 - 1; //This is the top number that you will be checking against the series
//Instance variables
private maxLength: number; //This is the length of the longest chain
private maxNum: number; //This is the starting number of the longest chain
//Functions
//Constructor
public constructor(){
super(`Which starting number, under ${Problem14.MAX_NUM + 1}, produces the longest chain using the iterative sequence?`);
this.maxLength = 0;
this.maxNum = 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();
//Loop through all numbers <= MAX_NUM and check them against the series
for(let currentNum = 1;currentNum <= Problem14.MAX_NUM;++currentNum){
let currentLength: number = this.checkSeries(currentNum);
//If the current number has a longer series than the max then the current becomes the max
if(currentLength > this.maxLength){
this.maxLength = currentLength;
this.maxNum = currentNum;
}
}
//Stop the timer
this.timer.stop();
//Throw a flag to show the problem is solved
this.solved = true;
}
//This function follows the rules of the sequence and returns its length
private checkSeries(num: number): number{
let length: number = 1; //Start at 1 because you need to count the starting number
//Follow the series, adding 1 for each step you take
while(num > 1){
if((num % 2) == 0){
num /= 2;
}
else{
num = (3 * num) + 1;
}
++length;
}
//Returns the length of the series
return length;
}
//Reset the problem so it can be run again
public reset(): void{
super.reset();
this.maxLength = 0;
this.maxNum = 0;
}
//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 number ${this.maxNum} produced a chain of ${this.maxLength} steps`;
}
//Returns the length of the requested chain
public getLength(): number{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.maxLength;
}
//Returns the starting number of the requested chain
public getStartingNumber(): number{
//If the problem hasn't been solved throw an exception
if(!this.solved){
throw new Unsolved();
}
return this.maxNum;
}
}
/* Results:
The number 837799 produced a chain of 525 steps
It took an average of 1.178 seconds to run this problem through 100 iterations
*/