diff --git a/src/Problems.rs b/src/Problems.rs index f50f26c..c1c5780 100644 --- a/src/Problems.rs +++ b/src/Problems.rs @@ -52,3 +52,4 @@ pub mod Problem26; pub mod Problem27; pub mod Problem28; pub mod Problem29; +pub mod Problem30; diff --git a/src/Problems/Problem30.rs b/src/Problems/Problem30.rs new file mode 100644 index 0000000..8e2523d --- /dev/null +++ b/src/Problems/Problem30.rs @@ -0,0 +1,80 @@ +//ProjectEulerRust/src/Problems/Problems30.rs +//Matthew Ellison +// Created: 06-17-20 +//Modified: 06-17-20 +//Find the sum of all the numbers that can be written as the sum of the fifth powers of their digits. +//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 . +*/ + + +extern crate myClasses; +use crate::Problems::Answer::Answer; + +pub fn getDescription() -> String{ + "Find the sum of all the numbers that can be written as the sum of the fifth powers of their digits.".to_string() +} + +pub fn solve() -> Answer{ + let TOP_NUM = 1_000_000; //This is the largest number that will be checked + let BOTTOM_NUM = 2; //Starts with 2 because 0 and 1 don't count + let POWER_RAISED = 5; //This is the power that the digits are raised to + let mut sumOfFifthNumbers = Vec::::new(); //Sum of the power of the fifth powers of their digits + + //Start the timer + let mut timer = myClasses::Stopwatch::Stopwatch::new(); + timer.start(); + + //Start with the lowest number and increment until you reach the largest number + for currentNum in BOTTOM_NUM..=TOP_NUM{ + //Get the digits of the number + let digits = getDigits(currentNum); + //Get the sum of the powers + let mut sumOfPowers = 0; + for num in digits{ + sumOfPowers += num.pow(POWER_RAISED); + } + //Check if the sum of the powers is the same as the number + //If it is add it to the list, otherwise continue to the next number + if(sumOfPowers == currentNum){ + sumOfFifthNumbers.push(currentNum); + } + } + + //Stop the timer + timer.stop(); + + //Return the results + return Answer::new(format!("The sum of all the numbers that can be written as the sum of the fifth powers of their digits is {}", sumOfFifthNumbers.iter().sum::()), timer.getString()); +} +//Returns a vector with the individual digits of the number passed to it +fn getDigits(num: i64) -> Vec::{ + let mut listOfDigits = Vec::::new(); //This ArrayList holds the individual digits of num + //The easiest way to get the individual digits of a number is by converting it to a string + let digits = num.to_string(); + //Start with the first digit, convert it to an integer, store it in the ArrayList, and move to the next digit + for character in digits.chars(){ + listOfDigits.push(character.to_digit(10).unwrap() as i64); + } + //Return the list of digits + return listOfDigits; +} + +/* Results: +The sum of all the numbers that can be written as the sum of the fifth powers of their digits is 443839 +It took 320.693 milliseconds to solve this problem +*/ diff --git a/src/main.rs b/src/main.rs index 91af293..df7492f 100644 --- a/src/main.rs +++ b/src/main.rs @@ -33,9 +33,10 @@ mod Problems; #[derive(PartialEq)] enum Selections{EMPTY, SOLVE, DESCRIPTION, LIST, EXIT, SIZE} -static problemNumbers: [u32; 30] = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, +static problemNumbers: [u32; 31] = [ 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]; + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, + 30]; fn main(){ let mut selection = Selections::EMPTY; @@ -248,6 +249,10 @@ fn solveProblem(problemNumber: u32){ println!("{}", Problems::Problem29::getDescription()); println!("{}", Problems::Problem29::solve()); } + else if(problemNumber == 30){ + println!("{}", Problems::Problem30::getDescription()); + println!("{}", Problems::Problem30::solve()); + } } fn descriptionMenu(){ //Give some extra space to print the description @@ -360,6 +365,9 @@ fn printDescription(problemNumber: u32){ else if(problemNumber == 29){ println!("{}", Problems::Problem29::getDescription()); } + else if(problemNumber == 30){ + println!("{}", Problems::Problem30::getDescription()); + } } fn getProblemNumber() -> u32{ println!("Enter a problem number: ");