Added solution to problem 20

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2020-06-17 11:43:22 -04:00
parent 92030866e9
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3 changed files with 76 additions and 2 deletions

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src/Problems/Problem20.rs Normal file
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//ProjectEulerRust/src/Problems/Problems20.rs
//Matthew Ellison
// Created: 06-17-20
//Modified: 06-17-20
//What is the sum of the digits of 100!?
//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{
"What is the sum of the digits of 100!?".to_string()
}
pub fn solve() -> Answer{
let TOP_NUM = 100;
//The number that is being generated
let mut number = num::BigInt::from(1);
let mut sum = 0;
//Start the timer
let mut timer = myClasses::Stopwatch::Stopwatch::new();
timer.start();
//Run through every number from 1 to 100 and multiply it by the current num to generate 100!
for cnt in (2..=TOP_NUM).rev(){
number *= num::BigInt::from(cnt);
}
//Get a string of the number because it is easier to pull apart the individual characters
let numString = number.to_string();
//Run through every character in the string, convert it back to an integer and add it to the running sum
for cnt in numString.chars(){
sum += cnt.to_digit(10).unwrap();
}
//Stop the timer
timer.stop();
//Return the results
return Answer::new(format!("{}! = {}\nThe sum of the digits is: {}", TOP_NUM, number, sum), timer.getString());
}
/* Results:
100! = 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
The sum of the digits is: 648
It took 18.000 microseconds to solve this problem
*/