Added solution to problem 28

This commit is contained in:
2020-06-17 23:20:44 -04:00
parent 2e239d1013
commit 13fda69f20
3 changed files with 147 additions and 2 deletions

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@@ -50,3 +50,4 @@ pub mod Problem24;
pub mod Problem25;
pub mod Problem26;
pub mod Problem27;
pub mod Problem28;

137
src/Problems/Problem28.rs Normal file
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@@ -0,0 +1,137 @@
//ProjectEulerRust/src/Problems/Problems28.rs
//Matthew Ellison
// Created: 06-17-20
//Modified: 06-17-20
//What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed by starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral
//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 numbers on the diagonals in a 1001 by 1001 spiral formed by starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral".to_string()
}
pub fn solve() -> Answer{
//Start the timer
let mut timer = myClasses::Stopwatch::Stopwatch::new();
timer.start();
//Setup the grid
let grid = setupGrid();
//Find the sum of the diagonals in the grid
let sumOfDiagonals = findSum(grid);
//Stop the timer
timer.stop();
//Return the answer
return Answer::new(format!("The sum of the diagonals in the given grid is {}", sumOfDiagonals), timer.getString());
}
fn setupGrid() -> Vec::<Vec::<i64>>{
let mut grid = Vec::<Vec::<i64>>::new();
//Fill the grid with 0's
for cnt in 0..1001{
//Add a blank vector
grid.push(Vec::<i64>::new());
for _ in 0..1001{
grid[cnt].push(0);
}
}
let mut finalLocation = false; //A flag to indicate if the final location to be filled has been reached
//Set the number that is going to be put at each location
let mut currentNum = 1;
//Start with the middle location and set it correctly and advance the tracker to the next number
let mut xLocation = 500;
let mut yLocation = 500;
grid[yLocation][xLocation] = currentNum;
currentNum += 1;
//Move right the first time
xLocation += 1;
//Move in a circular pattern until you reach the final location
while(!finalLocation){
//Move down until you reach a blank location on the left
while(!(grid[yLocation][xLocation - 1] == 0)){
grid[yLocation][xLocation] = currentNum;
currentNum += 1;
yLocation += 1;
}
//Move left until you reach a blank location above
while(!(grid[yLocation - 1][xLocation] == 0)){
grid[yLocation][xLocation] = currentNum;
currentNum += 1;
xLocation -= 1;
}
//Move up until you reach a blank location above
while(!(grid[yLocation][xLocation + 1] == 0)){
grid[yLocation][xLocation] = currentNum;
currentNum += 1;
yLocation -= 1;
}
//Move right until you reach a blank location below
while(!(grid[yLocation + 1][xLocation] == 0)){
grid[yLocation][xLocation] = currentNum;
currentNum += 1;
xLocation += 1;
//Check if you are at the final location and break the loop if you are
if(xLocation == grid.len()){
finalLocation = true;
break;
}
}
}
return grid;
}
//Finds the sum of the diagonals in the grid
fn findSum(grid: Vec::<Vec::<i64>>) -> i64{
//Start at the top corners and work your way down moving toward the opposite side
let mut sumOfDiagonals = 0;
let mut leftSide: i32 = 0;
let mut rightSide: i32 = (grid.len() - 1) as i32;
let mut row: i32 = 0;
//println!("grid {}", grid.len());
while(row < grid.len() as i32){
//This ensures the middle location is only counted once
if(leftSide == rightSide){
sumOfDiagonals += grid[row as usize][leftSide as usize];
}
else{
sumOfDiagonals += grid[row as usize][leftSide as usize];
sumOfDiagonals += grid[row as usize][rightSide as usize];
}
row += 1;
leftSide += 1;
rightSide -= 1;
}
//Return the sum
return sumOfDiagonals;
}
/* Results:
The sum of the diagonals in the given grid is 669171001
It took 7.651 milliseconds to solve this problem
*/

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@@ -33,9 +33,9 @@ mod Problems;
#[derive(PartialEq)]
enum Selections{EMPTY, SOLVE, DESCRIPTION, LIST, EXIT, SIZE}
static problemNumbers: [u32; 28] = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
static problemNumbers: [u32; 29] = [ 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];
20, 21, 22, 23, 24, 25, 26, 27, 28];
fn main(){
let mut selection = Selections::EMPTY;
@@ -240,6 +240,10 @@ fn solveProblem(problemNumber: u32){
println!("{}", Problems::Problem27::getDescription());
println!("{}", Problems::Problem27::solve());
}
else if(problemNumber == 28){
println!("{}", Problems::Problem28::getDescription());
println!("{}", Problems::Problem28::solve());
}
}
fn descriptionMenu(){
//Give some extra space to print the description
@@ -346,6 +350,9 @@ fn printDescription(problemNumber: u32){
else if(problemNumber == 27){
println!("{}", Problems::Problem27::getDescription());
}
else if(problemNumber == 28){
println!("{}", Problems::Problem28::getDescription());
}
}
fn getProblemNumber() -> u32{
println!("Enter a problem number: ");