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Added solution to Problem 9
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@@ -31,3 +31,4 @@ pub mod Problem5;
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pub mod Problem6;
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pub mod Problem7;
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pub mod Problem8;
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pub mod Problem9;
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79
src/Problems/Problem9.rs
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79
src/Problems/Problem9.rs
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@@ -0,0 +1,79 @@
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//ProjectEulerRust/src/Problems/Problems9.rs
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//Matthew Ellison
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// Created: 06-15-20
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//Modified: 06-15-20
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//There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/RustClasses
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/*
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Copyright (C) 2020 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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extern crate myClasses;
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use crate::Problems::Answer::Answer;
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pub fn getDescription() -> String{
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"There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.".to_string()
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}
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pub fn solve() -> Answer{
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let mut a = 1.0; //Holds the length of the first side
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let mut b = 0.0; //Holds the length of the second side
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let mut c = 0.0;//Holds the length of the hyp
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let mut found = false; //A flag to show whether the solution has been found
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//Start the timer
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let mut timer = myClasses::Stopwatch::Stopwatch::new();
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timer.start();
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//Loop through all possible a's
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while((a < 1000.0) && !found){
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b = a + 1.0; //b must be larget than a
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c = (((a * a) + (b * b)) as f64).sqrt();
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//Loop through all possible b's for this a
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while((a + b + c) < 1000.0){
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b += 1.0;
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c = (((a * a) + (b * b)) as f64).sqrt();
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}
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//If the sum is 1000 you found the number, otherwise go to the next possible a
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if(a + b + c == 1000.0){
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found = true;
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}
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else{
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a += 1.0;
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}
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}
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//Stop the timer
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timer.stop();
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//Save the results
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if(found){
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return Answer::new(format!("The Pythagorean triplet is {} + {} + {}\nThe numbers' product is {}", a, b, c, a * b * c), timer.getString());
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}
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else{
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return Answer::new(format!("The number was not found!"), timer.getString());
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}
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}
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/* Result:
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The Pythagorean triplet is 200 + 375 + 425
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The numbers' product is 31875000
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It took 141.900 microseconds to solve this problem
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*/
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@@ -33,7 +33,7 @@ mod Problems;
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#[derive(PartialEq)]
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enum Selections{EMPTY, SOLVE, DESCRIPTION, LIST, EXIT, SIZE}
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static problemNumbers: [u32; 9] = [0, 1, 2, 3, 4, 5, 6, 7, 8];
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static problemNumbers: [u32; 10] = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9];
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fn main(){
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let mut selection = Selections::EMPTY;
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@@ -162,6 +162,10 @@ fn solveProblem(problemNumber: u32){
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println!("{}", Problems::Problem8::getDescription());
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println!("{}", Problems::Problem8::solve());
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}
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else if(problemNumber == 9){
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println!("{}", Problems::Problem9::getDescription());
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println!("{}", Problems::Problem9::solve());
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}
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}
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fn descriptionMenu(){
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//Give some extra space to print the description
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@@ -211,6 +215,9 @@ fn printDescription(problemNumber: u32){
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else if(problemNumber == 8){
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println!("{}", Problems::Problem8::getDescription());
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}
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else if(problemNumber == 9){
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println!("{}", Problems::Problem9::getDescription());
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}
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}
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fn getProblemNumber() -> u32{
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println!("Enter a problem number: ");
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