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Added solution to problem 8
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src/Problems/Problem8.rs
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86
src/Problems/Problem8.rs
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//ProjectEulerRust/src/Problems/Problems8.rs
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//Matthew Ellison
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// Created: 06-15-20
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//Modified: 06-15-20
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//Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?
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/*
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73167176531330624919225119674426574742355349194934
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96983520312774506326239578318016984801869478851843
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85861560789112949495459501737958331952853208805511
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12540698747158523863050715693290963295227443043557
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66896648950445244523161731856403098711121722383113
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62229893423380308135336276614282806444486645238749
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30358907296290491560440772390713810515859307960866
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70172427121883998797908792274921901699720888093776
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65727333001053367881220235421809751254540594752243
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52584907711670556013604839586446706324415722155397
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53697817977846174064955149290862569321978468622482
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83972241375657056057490261407972968652414535100474
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82166370484403199890008895243450658541227588666881
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16427171479924442928230863465674813919123162824586
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17866458359124566529476545682848912883142607690042
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24219022671055626321111109370544217506941658960408
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07198403850962455444362981230987879927244284909188
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84580156166097919133875499200524063689912560717606
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05886116467109405077541002256983155200055935729725
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71636269561882670428252483600823257530420752963450
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*/
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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 10001th prime number?".to_string()
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}
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pub fn solve() -> Answer{
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//Setup the variables
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let NUMBER = "7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450";
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let mut maxNums = "".to_string();
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let mut maxProduct = 0u64; //u64 because 2^32 < 9^13
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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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//Cycle through the string of number looking for the maximum product
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for cnt in 12..NUMBER.len(){
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let currentProduct = NUMBER.chars().nth(cnt - 12).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 11).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 10).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 9).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 8).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 7).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 6).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 5).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 4).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 3).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 2).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt - 1).unwrap().to_digit(10).unwrap() as u64 * NUMBER.chars().nth(cnt).unwrap().to_digit(10).unwrap() as u64;
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//Check if the product is greater than the current maximum
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if(currentProduct > maxProduct){
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maxNums = NUMBER.chars().skip(cnt - 12).take(13).collect();
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maxProduct = currentProduct;
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}
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}
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//Start the timer
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timer.stop();
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//Return the results
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return Answer::new(format!("The greatest product is {}\nThe numbers are {}", maxProduct, maxNums), timer.getString());
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}
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/* Results:
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The greatest product is 23514624000
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The numbers are 5576689664895
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It took 2.778 milliseconds to solve this problem
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*/
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