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Added solution to problem 12
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src/Problems/Problem12.rs
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69
src/Problems/Problem12.rs
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//ProjectEulerRust/src/Problems/Problems12.rs
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//Matthew Ellison
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// Created: 06-16-20
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//Modified: 06-16-20
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//What is the value of the first triangle number to have over five hundred divisors?
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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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"What is the value of the first triangle number to have over five hundred divisors?".to_string()
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}
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pub fn solve() -> Answer{
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//Setup the other variables
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let GOAL_DIVISORS = 500i64;
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let mut foundNumber = false; //To flag whether the number has been found
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let mut sum = 1i64;
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let mut counter = 2i64; //The next number to be added to the sum to make a triangular number
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let mut divisors = Vec::<i64>::new();
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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 until you find the appropriate number
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while((!foundNumber) && (sum > 0)){
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divisors = myClasses::Algorithms::getDivisors(sum);
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//If the number of divisors is correct set the flag
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if(divisors.len() as i64 > GOAL_DIVISORS){
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foundNumber = true;
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}
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//Otherwise add to the sum and increase the next number
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else{
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sum += counter;
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counter += 1;
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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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//Return the solution
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return Answer::new(format!("The triangular number {} is the sum of all numbers >= {} and has {} divisors", sum, counter - 1, divisors.len()), timer.getString());
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}
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/* Results:
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The triangular number 76576500 is the sum of all numbers >= 12375 and has 576 divisors
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It took 266.976 milliseconds to solve this problem
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*/
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