mirror of
https://bitbucket.org/Mattrixwv/projecteulerts.git
synced 2025-12-06 17:43:59 -05:00
Added solution to problem 23
This commit is contained in:
@@ -32,7 +32,7 @@ enum BenchmarkOptions{runSpecific = 1, runAllShort, runAll, exit, size};
|
||||
|
||||
|
||||
export class Benchmark{
|
||||
private static tooLong: number[] = [14, 15];
|
||||
private static tooLong: number[] = [14, 15, 23];
|
||||
//The driver function for the benchmark selection
|
||||
public static benchmarkMenu(): void{
|
||||
let selection: BenchmarkOptions = BenchmarkOptions.size;
|
||||
|
||||
@@ -46,12 +46,13 @@ import { Problem19 } from "./Problems/Problem19";
|
||||
import { Problem20 } from "./Problems/Problem20";
|
||||
import { Problem21 } from "./Problems/Problem21";
|
||||
import { Problem22 } from "./Problems/Problem22";
|
||||
import { Problem23 } from "./Problems/Problem23";
|
||||
|
||||
|
||||
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];
|
||||
21, 22, 23];
|
||||
|
||||
//Returns the problem corresponding to the given problem number
|
||||
public static getProblem(problemNumber: number): Problem{
|
||||
@@ -79,6 +80,7 @@ export class ProblemSelection{
|
||||
case 20: problem = new Problem20(); break;
|
||||
case 21: problem = new Problem21(); break;
|
||||
case 22: problem = new Problem22(); break;
|
||||
case 23: problem = new Problem23(); break;
|
||||
}
|
||||
return problem;
|
||||
}
|
||||
|
||||
142
Problems/Problem23.ts
Normal file
142
Problems/Problem23.ts
Normal file
@@ -0,0 +1,142 @@
|
||||
//ProjectEulerTS/Problems/Problem23.ts
|
||||
//Matthew Ellison
|
||||
// Created: 04-08-21
|
||||
//Modified: 04-08-21
|
||||
//Find the sum of all the positive integers which cannot be written as the sum of two abundant numbers
|
||||
//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 { getDivisors, getSum } from "../../../Typescript/typescriptClasses/Algorithms";
|
||||
import { Unsolved } from "../Unsolved";
|
||||
import { Problem } from "./Problem";
|
||||
|
||||
|
||||
export class Problem23 extends Problem{
|
||||
//Variables
|
||||
//Static variables
|
||||
private static MAX_NUM: number = 28123; //The largest number to be checked
|
||||
//Instance variables
|
||||
private divisorSums: number[]; //This gives the sum of the divisors at subscripts
|
||||
private sum: number; //The sum of all the numbers we are looking for
|
||||
|
||||
//Functions
|
||||
//Constructor
|
||||
public constructor(){
|
||||
super(`Find the sum of all the positive integers which cannot be written as the sum of two abundant numbers`);
|
||||
this.divisorSums = [];
|
||||
this.reserveArray();
|
||||
this.sum = 0;
|
||||
}
|
||||
//Operational functions
|
||||
//Reserve the size of the array to speed up insertion
|
||||
private reserveArray(): void{
|
||||
//It is faster to reserve the appropriate amount of ram now
|
||||
//Make sure every element has a 0 in it's location
|
||||
while(this.divisorSums.length <= Problem23.MAX_NUM){
|
||||
this.divisorSums.push(0);
|
||||
}
|
||||
}
|
||||
//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();
|
||||
|
||||
//Get the sum of the divisors of all numbers < MAX_NUM
|
||||
for(let cnt = 1;cnt < Problem23.MAX_NUM;++cnt){
|
||||
let div: number[] = getDivisors(cnt);
|
||||
//Remove the last element, which is the number itself. This gives us the propper divisors
|
||||
if(div.length > 1){
|
||||
div.pop();
|
||||
}
|
||||
this.divisorSums[cnt] = getSum(div);
|
||||
}
|
||||
|
||||
//Get the abundant numbers
|
||||
let abund: number[] = [];
|
||||
for(let cnt = 0;cnt < this.divisorSums.length;++cnt){
|
||||
if(this.divisorSums[cnt] > cnt){
|
||||
abund.push(cnt);
|
||||
}
|
||||
}
|
||||
|
||||
//Check if each number can be the sum of 2 abundant numbers and add to the sum if no
|
||||
for(let cnt = 1;cnt < Problem23.MAX_NUM;++cnt){
|
||||
if(!this.isSum(abund, cnt)){
|
||||
this.sum += cnt;
|
||||
}
|
||||
}
|
||||
|
||||
//Stop the timer
|
||||
this.timer.stop();
|
||||
|
||||
//Throw a flag to show the problem is solved
|
||||
this.solved = true;
|
||||
}
|
||||
//A function that returns true if num can be created by adding two elements from abund and false if it cannot
|
||||
private isSum(abund: number[], num: number): boolean{
|
||||
let sum: number = 0;
|
||||
//Pick a number for the first part of the sum
|
||||
for(let firstNum = 0;firstNum < abund.length;++firstNum){
|
||||
//Pick a number for the second part of the sum
|
||||
for(let secondNum = firstNum;secondNum < abund.length;++secondNum){
|
||||
sum = abund[firstNum] + abund[secondNum];
|
||||
if(sum == num){
|
||||
return true;
|
||||
}
|
||||
else if(sum > num){
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
//If you have run through the entire list and did not find a sum then it is false
|
||||
return false;
|
||||
}
|
||||
//Reset the problem so it can be run again
|
||||
public reset(): void{
|
||||
super.reset();
|
||||
this.divisorSums = [];
|
||||
this.reserveArray();
|
||||
this.sum = 0;
|
||||
}
|
||||
//Gets
|
||||
//Returns the result of solving the problem
|
||||
public getResult(): string{
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return `The answer is ${this.sum}`;
|
||||
}
|
||||
//Returns the sum of the numbers asked for
|
||||
public getSum(): number{
|
||||
if(!this.solved){
|
||||
throw new Unsolved();
|
||||
}
|
||||
return this.sum;
|
||||
}
|
||||
}
|
||||
|
||||
/* Results:
|
||||
The answer is 4179871
|
||||
It took an average of 7.798 seconds to run this problem through 100 iterations
|
||||
*/
|
||||
Reference in New Issue
Block a user