Added solution to Problem 9

src/Problems/Problem9.rs

@@ -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
+*/