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Added solution to problem 28
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@@ -50,3 +50,4 @@ pub mod Problem24;
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pub mod Problem25;
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pub mod Problem25;
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pub mod Problem26;
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pub mod Problem26;
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pub mod Problem27;
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pub mod Problem27;
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pub mod Problem28;
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137
src/Problems/Problem28.rs
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137
src/Problems/Problem28.rs
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@@ -0,0 +1,137 @@
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//ProjectEulerRust/src/Problems/Problems28.rs
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//Matthew Ellison
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// Created: 06-17-20
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//Modified: 06-17-20
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//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
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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 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()
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}
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pub fn solve() -> Answer{
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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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//Setup the grid
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let grid = setupGrid();
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//Find the sum of the diagonals in the grid
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let sumOfDiagonals = findSum(grid);
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//Stop the timer
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timer.stop();
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//Return the answer
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return Answer::new(format!("The sum of the diagonals in the given grid is {}", sumOfDiagonals), timer.getString());
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}
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fn setupGrid() -> Vec::<Vec::<i64>>{
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let mut grid = Vec::<Vec::<i64>>::new();
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//Fill the grid with 0's
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for cnt in 0..1001{
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//Add a blank vector
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grid.push(Vec::<i64>::new());
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for _ in 0..1001{
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grid[cnt].push(0);
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}
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}
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let mut finalLocation = false; //A flag to indicate if the final location to be filled has been reached
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//Set the number that is going to be put at each location
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let mut currentNum = 1;
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//Start with the middle location and set it correctly and advance the tracker to the next number
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let mut xLocation = 500;
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let mut yLocation = 500;
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grid[yLocation][xLocation] = currentNum;
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currentNum += 1;
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//Move right the first time
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xLocation += 1;
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//Move in a circular pattern until you reach the final location
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while(!finalLocation){
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//Move down until you reach a blank location on the left
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while(!(grid[yLocation][xLocation - 1] == 0)){
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grid[yLocation][xLocation] = currentNum;
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currentNum += 1;
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yLocation += 1;
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}
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//Move left until you reach a blank location above
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while(!(grid[yLocation - 1][xLocation] == 0)){
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grid[yLocation][xLocation] = currentNum;
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currentNum += 1;
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xLocation -= 1;
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}
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//Move up until you reach a blank location above
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while(!(grid[yLocation][xLocation + 1] == 0)){
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grid[yLocation][xLocation] = currentNum;
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currentNum += 1;
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yLocation -= 1;
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}
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//Move right until you reach a blank location below
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while(!(grid[yLocation + 1][xLocation] == 0)){
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grid[yLocation][xLocation] = currentNum;
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currentNum += 1;
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xLocation += 1;
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//Check if you are at the final location and break the loop if you are
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if(xLocation == grid.len()){
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finalLocation = true;
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break;
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}
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}
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}
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return grid;
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}
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//Finds the sum of the diagonals in the grid
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fn findSum(grid: Vec::<Vec::<i64>>) -> i64{
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//Start at the top corners and work your way down moving toward the opposite side
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let mut sumOfDiagonals = 0;
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let mut leftSide: i32 = 0;
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let mut rightSide: i32 = (grid.len() - 1) as i32;
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let mut row: i32 = 0;
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//println!("grid {}", grid.len());
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while(row < grid.len() as i32){
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//This ensures the middle location is only counted once
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if(leftSide == rightSide){
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sumOfDiagonals += grid[row as usize][leftSide as usize];
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}
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else{
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sumOfDiagonals += grid[row as usize][leftSide as usize];
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sumOfDiagonals += grid[row as usize][rightSide as usize];
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}
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row += 1;
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leftSide += 1;
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rightSide -= 1;
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}
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//Return the sum
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return sumOfDiagonals;
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}
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/* Results:
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The sum of the diagonals in the given grid is 669171001
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It took 7.651 milliseconds to solve this problem
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*/
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11
src/main.rs
11
src/main.rs
@@ -33,9 +33,9 @@ mod Problems;
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#[derive(PartialEq)]
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#[derive(PartialEq)]
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enum Selections{EMPTY, SOLVE, DESCRIPTION, LIST, EXIT, SIZE}
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enum Selections{EMPTY, SOLVE, DESCRIPTION, LIST, EXIT, SIZE}
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static problemNumbers: [u32; 28] = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
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static problemNumbers: [u32; 29] = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
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10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
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10, 11, 12, 13, 14, 15, 16, 17, 18, 19,
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20, 21, 22, 23, 24, 25, 26, 27];
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20, 21, 22, 23, 24, 25, 26, 27, 28];
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fn main(){
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fn main(){
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let mut selection = Selections::EMPTY;
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let mut selection = Selections::EMPTY;
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@@ -240,6 +240,10 @@ fn solveProblem(problemNumber: u32){
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println!("{}", Problems::Problem27::getDescription());
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println!("{}", Problems::Problem27::getDescription());
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println!("{}", Problems::Problem27::solve());
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println!("{}", Problems::Problem27::solve());
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}
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}
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else if(problemNumber == 28){
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println!("{}", Problems::Problem28::getDescription());
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println!("{}", Problems::Problem28::solve());
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}
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}
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}
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fn descriptionMenu(){
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fn descriptionMenu(){
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//Give some extra space to print the description
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//Give some extra space to print the description
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@@ -346,6 +350,9 @@ fn printDescription(problemNumber: u32){
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else if(problemNumber == 27){
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else if(problemNumber == 27){
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println!("{}", Problems::Problem27::getDescription());
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println!("{}", Problems::Problem27::getDescription());
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}
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}
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else if(problemNumber == 28){
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println!("{}", Problems::Problem28::getDescription());
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}
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}
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}
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fn getProblemNumber() -> u32{
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fn getProblemNumber() -> u32{
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println!("Enter a problem number: ");
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println!("Enter a problem number: ");
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