Added solution to Problem 9

This commit is contained in:
2020-06-15 20:31:49 -04:00
parent 743e7c5435
commit 579f7765a2
3 changed files with 88 additions and 1 deletions

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@@ -31,3 +31,4 @@ pub mod Problem5;
pub mod Problem6; pub mod Problem6;
pub mod Problem7; pub mod Problem7;
pub mod Problem8; pub mod Problem8;
pub mod Problem9;

79
src/Problems/Problem9.rs Normal file
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@@ -0,0 +1,79 @@
//ProjectEulerRust/src/Problems/Problems9.rs
//Matthew Ellison
// Created: 06-15-20
//Modified: 06-15-20
//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/RustClasses
/*
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/>.
*/
extern crate myClasses;
use crate::Problems::Answer::Answer;
pub fn getDescription() -> String{
"There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.".to_string()
}
pub fn solve() -> Answer{
let mut a = 1.0; //Holds the length of the first side
let mut b = 0.0; //Holds the length of the second side
let mut c = 0.0;//Holds the length of the hyp
let mut found = false; //A flag to show whether the solution has been found
//Start the timer
let mut timer = myClasses::Stopwatch::Stopwatch::new();
timer.start();
//Loop through all possible a's
while((a < 1000.0) && !found){
b = a + 1.0; //b must be larget than a
c = (((a * a) + (b * b)) as f64).sqrt();
//Loop through all possible b's for this a
while((a + b + c) < 1000.0){
b += 1.0;
c = (((a * a) + (b * b)) as f64).sqrt();
}
//If the sum is 1000 you found the number, otherwise go to the next possible a
if(a + b + c == 1000.0){
found = true;
}
else{
a += 1.0;
}
}
//Stop the timer
timer.stop();
//Save the results
if(found){
return Answer::new(format!("The Pythagorean triplet is {} + {} + {}\nThe numbers' product is {}", a, b, c, a * b * c), timer.getString());
}
else{
return Answer::new(format!("The number was not found!"), timer.getString());
}
}
/* Result:
The Pythagorean triplet is 200 + 375 + 425
The numbers' product is 31875000
It took 141.900 microseconds to solve this problem
*/

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@@ -33,7 +33,7 @@ mod Problems;
#[derive(PartialEq)] #[derive(PartialEq)]
enum Selections{EMPTY, SOLVE, DESCRIPTION, LIST, EXIT, SIZE} enum Selections{EMPTY, SOLVE, DESCRIPTION, LIST, EXIT, SIZE}
static problemNumbers: [u32; 9] = [0, 1, 2, 3, 4, 5, 6, 7, 8]; static problemNumbers: [u32; 10] = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9];
fn main(){ fn main(){
let mut selection = Selections::EMPTY; let mut selection = Selections::EMPTY;
@@ -162,6 +162,10 @@ fn solveProblem(problemNumber: u32){
println!("{}", Problems::Problem8::getDescription()); println!("{}", Problems::Problem8::getDescription());
println!("{}", Problems::Problem8::solve()); println!("{}", Problems::Problem8::solve());
} }
else if(problemNumber == 9){
println!("{}", Problems::Problem9::getDescription());
println!("{}", Problems::Problem9::solve());
}
} }
fn descriptionMenu(){ fn descriptionMenu(){
//Give some extra space to print the description //Give some extra space to print the description
@@ -211,6 +215,9 @@ fn printDescription(problemNumber: u32){
else if(problemNumber == 8){ else if(problemNumber == 8){
println!("{}", Problems::Problem8::getDescription()); println!("{}", Problems::Problem8::getDescription());
} }
else if(problemNumber == 9){
println!("{}", Problems::Problem9::getDescription());
}
} }
fn getProblemNumber() -> u32{ fn getProblemNumber() -> u32{
println!("Enter a problem number: "); println!("Enter a problem number: ");