diff --git a/src/Problems.rs b/src/Problems.rs
index 01e5bfe..3d1ab60 100644
--- a/src/Problems.rs
+++ b/src/Problems.rs
@@ -55,13 +55,14 @@ pub mod Problem29;
pub mod Problem30;
pub mod Problem31;
pub mod Problem32;
+pub mod Problem33;
pub mod Problem67;
-pub static problemNumbers: [u32; 34] = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
+pub static problemNumbers: [u32; 35] = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
- 30, 31, 32, 67];
+ 30, 31, 32, 33, 67];
pub static tooLong: [u32; 7] = [3, 5, 15, 23, 24, 25, 27];
pub fn solveProblem(problemNumber: u32, description: bool, solve: bool) -> Answer::Answer{
@@ -326,6 +327,14 @@ pub fn solveProblem(problemNumber: u32, description: bool, solve: bool) -> Answe
answer = Problem32::solve();
}
}
+ else if(problemNumber == 33){
+ if(description){
+ println!("{}", Problem33::getDescription());
+ }
+ if(solve){
+ answer = Problem33::solve();
+ }
+ }
else if(problemNumber == 67){
if(description){
println!("{}", Problem67::getDescription());
diff --git a/src/Problems/Problem33.rs b/src/Problems/Problem33.rs
new file mode 100644
index 0000000..3af1fb2
--- /dev/null
+++ b/src/Problems/Problem33.rs
@@ -0,0 +1,99 @@
+//ProjectEulerRust/src/Problems/Problems33.rs
+//Matthew Ellison
+// Created: 02-07-21
+//Modified: 02-07-21
+/*
+The fraction 49/98 is a curious fraction, as an inexperienced mathematician in attempting to simplify it may incorrectly believe that 49/98 = 4/8, which is correct, is obtained by cancelling the 9s
+We shall consider fractions like, 30/50 = 3/5, to be trivial examples
+There are exactly four non-trivial examples of this type of fraction, less than one in value, and containing two digits in the numerator and denominator
+If the product of these four fractions is given in its lowest common terms, find the value of the denominator
+*/
+//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/RustClasses
+/*
+ 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 .
+*/
+
+
+extern crate myClasses;
+use crate::Problems::Answer::Answer;
+
+pub fn getDescription() -> String{
+ "If the product of these four fractions is given in its lowest common terms, find the value of the denominator".to_string()
+}
+
+pub fn solve() -> Answer{
+ let mut numerators = Vec::::new();
+ let mut denominators = Vec::::new();
+
+ //Start the timer
+ let mut timer = myClasses::Stopwatch::Stopwatch::new();
+ timer.start();
+
+ for denominator in 11..=99{
+ for numerator in 10..denominator{
+ let num1 = numerator.to_string();
+ let denom = denominator.to_string();
+ let mut tempNum = 0;
+ let mut tempDenom = 1;
+
+ //Check that this isn't a trivial example
+ if((num1.chars().nth(1).unwrap() == '0') && (denom.chars().nth(1).unwrap() == '0')){
+ continue;
+ }
+ //Remove the offending digits if they exist
+ else if(num1.chars().nth(0).unwrap() == denom.chars().nth(0).unwrap()){
+ tempNum = num1.chars().nth(1).unwrap() as i32 - 48;
+ tempDenom = denom.chars().nth(1).unwrap() as i32 - 48;
+ }
+ else if(num1.chars().nth(0).unwrap() == denom.chars().nth(1).unwrap()){
+ tempNum = num1.chars().nth(1).unwrap() as i32 - 48;
+ tempDenom = denom.chars().nth(0).unwrap() as i32 - 48;
+ }
+ else if(num1.chars().nth(1).unwrap() == denom.chars().nth(0).unwrap()){
+ tempNum = num1.chars().nth(0).unwrap() as i32 - 48;
+ tempDenom = denom.chars().nth(1).unwrap() as i32 - 48;
+ }
+ else if(num1.chars().nth(1).unwrap() == denom.chars().nth(1).unwrap()){
+ tempNum = num1.chars().nth(0).unwrap() as i32 - 48;
+ tempDenom = denom.chars().nth(0).unwrap() as i32 - 48;
+ }
+
+ //Test if the new fraction is the same as the old one
+ if((tempNum as f64 / tempDenom as f64) == (numerator as f64 / denominator as f64)){
+ numerators.push(numerator);
+ denominators.push(denominator);
+ }
+ }
+ }
+
+ //Get the product of the numbers
+ let numProd = numerators.iter().product::();
+ let denomProd = denominators.iter().product::();
+ //Get the gcd to reduce to lowest terms
+ let gcd = myClasses::Algorithms::gcd(numProd, denomProd);
+ //Save the denominator
+ let prodDenominator = denomProd / gcd;
+
+ //Stop the timer
+ timer.stop();
+
+ return Answer::new(format!("The denominator of the product is {}", prodDenominator), timer.getString(), timer.getNano());
+}
+
+/* Results:
+The denominator of the product is 100
+It took an average of 717.868 microseconds to run this problem through 100 iterations
+*/