Added solution to problem 9

This commit is contained in:
2020-08-23 16:29:05 -04:00
parent 549e6d7fd4
commit bd91547c8e
2 changed files with 136 additions and 1 deletions

View File

@@ -30,7 +30,7 @@ namespace ProjectEulerCS{
public class ProblemSelection{
//Holds the valid problem numbers
private static readonly List<int> _PROBLEM_NUMBERS = new List<int>()
{0, 1, 2, 3, 4, 5, 6, 7, 8};
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9};
public static System.Collections.Generic.List<int> PROBLEM_NUMBERS{
get { return _PROBLEM_NUMBERS; }
}
@@ -47,6 +47,7 @@ namespace ProjectEulerCS{
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;
}

View File

@@ -0,0 +1,134 @@
//ProjectEuler/ProjectEulerCS/src/Problems/Problem9.cs
//Matthew Ellison
// Created: 08-23-20
//Modified: 08-23-20
//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/CSClasses
/*
Copyright (C) 2020 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/>.
*/
namespace ProjectEulerCS{
public class Problem9 : Problem{
//Variables
//Instance variables
private int a; //Holds the size of the first side
public int sideA{
get{
if(!solved){
throw new Unsolved();
}
return a;
}
}
private int b; //Holds the size of the second side
public int sideB{
get{
if(!solved){
throw new Unsolved();
}
return b;
}
}
private double c; //Holds the size of the hyp
public int sideC{
get{
if(!solved){
throw new Unsolved();
}
return (int)c;
}
}
private bool found; //A flag to determine if we have found the solution yet
public int product{
get{
if(!solved){
throw new Unsolved();
}
return a * b * (int)c;
}
}
//Functions
//Constrcutor
public Problem9() : base("There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc."){
a = 1;
b = 0;
c = 0;
found = false;
}
//Operational functions
//Solve the problem
public override void solve(){
//If the problem has already been solved do nothing and end the function
if(solved){
return;
}
//Start the timer
_timer.start();
//Loop through all possible a's
while((a < 1000) && !found){
b = a + 1; //b must be larget than a
c = System.Math.Sqrt((a * a) + (b * b)); //Compute the hyp
//Loop through all possible b's for this a
while((a + b + c) < 1000){
++b;
c = System.Math.Sqrt((a * a) + (b * b));
}
//If the sum == 1000 you found the number, otherwise go to the next possible a
if((a + b + c) == 1000){
found = true;
}
else{
++a;
}
}
//Stop the timer
_timer.stop();
//Throw a flag to show the problem is solved
solved = true;
if(found){
_result = "The Pythagorean triplet is " + a + " + " + b + " + " + System.Math.Round(c) +
"\nThe numbers' product is " + product;
}
else{
_result = "The number was not found!";
}
}
//Reset the problem so it can be run again
public override void reset(){
base.reset();
a = 1;
b = 0;
c = 0;
found = false;
}
}
}
/* Results:
The Pythagorean triplet is 200 + 375 + 425
The numbers' product is 31875000
It took an average of 149.040 microseconds to run this problem through 100 iterations
*/