mirror of
https://bitbucket.org/Mattrixwv/projecteulerrust.git
synced 2025-12-06 17:43:58 -05:00
Added solution to Problem 14
This commit is contained in:
@@ -36,3 +36,4 @@ pub mod Problem10;
|
|||||||
pub mod Problem11;
|
pub mod Problem11;
|
||||||
pub mod Problem12;
|
pub mod Problem12;
|
||||||
pub mod Problem13;
|
pub mod Problem13;
|
||||||
|
pub mod Problem14;
|
||||||
|
|||||||
90
src/Problems/Problem14.rs
Normal file
90
src/Problems/Problem14.rs
Normal file
@@ -0,0 +1,90 @@
|
|||||||
|
//ProjectEulerRust/src/Problems/Problems14.rs
|
||||||
|
//Matthew Ellison
|
||||||
|
// Created: 06-16-20
|
||||||
|
//Modified: 06-16-20
|
||||||
|
//Work out the first ten digits of the sum of the following one-hundred 50-digit numbers
|
||||||
|
/*
|
||||||
|
The following iterative sequence is defined for the set of positive integers:
|
||||||
|
n → n/2 (n is even)
|
||||||
|
n → 3n + 1 (n is odd)
|
||||||
|
Which starting number, under one million, produces the longest chain?
|
||||||
|
*/
|
||||||
|
//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{
|
||||||
|
"Which starting number, under one million, produces the longest chain using the itterative sequence?".to_string()
|
||||||
|
}
|
||||||
|
|
||||||
|
pub fn solve() -> Answer{
|
||||||
|
let MAX_NUM = 1_000_000_i64;
|
||||||
|
//This is the length of the longest chain
|
||||||
|
let mut maxLength = 0i64;
|
||||||
|
//This is the starting number of the longest chain
|
||||||
|
let mut maxNum = 0i64;
|
||||||
|
|
||||||
|
//Start the timer
|
||||||
|
let mut timer = myClasses::Stopwatch::Stopwatch::new();
|
||||||
|
timer.start();
|
||||||
|
|
||||||
|
//Loop through all numbers less than MAX_NUM and check them against the series
|
||||||
|
for currentNum in 1i64..MAX_NUM{
|
||||||
|
let currentLength = checkSeries(currentNum);
|
||||||
|
//If the current number has a longer series than the max then the current becomes the max
|
||||||
|
if(currentLength > maxLength){
|
||||||
|
maxLength = currentLength;
|
||||||
|
maxNum = currentNum;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
//Stop the timer
|
||||||
|
timer.stop();
|
||||||
|
|
||||||
|
//Return the results
|
||||||
|
return Answer::new(format!("The number {} produced a chain of {} steps", maxNum, maxLength), timer.getString());
|
||||||
|
}
|
||||||
|
|
||||||
|
fn checkSeries(startNum: i64) -> i64{
|
||||||
|
let mut num = startNum;
|
||||||
|
//Start at 1 because you need to count the starting number
|
||||||
|
let mut length = 1i64;
|
||||||
|
|
||||||
|
//Follow the series, adding 1 for each step you take
|
||||||
|
while(num > 1){
|
||||||
|
if((num % 2) == 0){
|
||||||
|
num /= 2;
|
||||||
|
}
|
||||||
|
else{
|
||||||
|
num = (3 * num) + 1;
|
||||||
|
}
|
||||||
|
length += 1;
|
||||||
|
}
|
||||||
|
|
||||||
|
//Return the length of the series
|
||||||
|
return length;
|
||||||
|
}
|
||||||
|
|
||||||
|
/* Results:
|
||||||
|
The number 837799 produced a chain of 525 steps
|
||||||
|
It took 98.253 milliseconds to solve this problem
|
||||||
|
*/
|
||||||
@@ -33,7 +33,7 @@ mod Problems;
|
|||||||
#[derive(PartialEq)]
|
#[derive(PartialEq)]
|
||||||
enum Selections{EMPTY, SOLVE, DESCRIPTION, LIST, EXIT, SIZE}
|
enum Selections{EMPTY, SOLVE, DESCRIPTION, LIST, EXIT, SIZE}
|
||||||
|
|
||||||
static problemNumbers: [u32; 14] = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13];
|
static problemNumbers: [u32; 15] = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14];
|
||||||
|
|
||||||
fn main(){
|
fn main(){
|
||||||
let mut selection = Selections::EMPTY;
|
let mut selection = Selections::EMPTY;
|
||||||
@@ -182,6 +182,10 @@ fn solveProblem(problemNumber: u32){
|
|||||||
println!("{}", Problems::Problem13::getDescription());
|
println!("{}", Problems::Problem13::getDescription());
|
||||||
println!("{}", Problems::Problem13::solve());
|
println!("{}", Problems::Problem13::solve());
|
||||||
}
|
}
|
||||||
|
else if(problemNumber == 14){
|
||||||
|
println!("{}", Problems::Problem14::getDescription());
|
||||||
|
println!("{}", Problems::Problem14::solve());
|
||||||
|
}
|
||||||
}
|
}
|
||||||
fn descriptionMenu(){
|
fn descriptionMenu(){
|
||||||
//Give some extra space to print the description
|
//Give some extra space to print the description
|
||||||
@@ -246,6 +250,9 @@ fn printDescription(problemNumber: u32){
|
|||||||
else if(problemNumber == 13){
|
else if(problemNumber == 13){
|
||||||
println!("{}", Problems::Problem13::getDescription());
|
println!("{}", Problems::Problem13::getDescription());
|
||||||
}
|
}
|
||||||
|
else if(problemNumber == 14){
|
||||||
|
println!("{}", Problems::Problem14::getDescription());
|
||||||
|
}
|
||||||
}
|
}
|
||||||
fn getProblemNumber() -> u32{
|
fn getProblemNumber() -> u32{
|
||||||
println!("Enter a problem number: ");
|
println!("Enter a problem number: ");
|
||||||
|
|||||||
Reference in New Issue
Block a user