Files
ProjectEulerTS/Problems/Problem17.ts

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6.6 KiB
TypeScript

//ProjectEulerTS/Problems/Problem17.ts
//Matthew Ellison
// Created: 03-29-21
//Modified: 07-14-21
//If all the numbers from 1 to 1000 (one thousand) inclusive were written out in words, how many letters would be used?
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/typescriptClasses
/*
Copyright (C) 2021 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/>.
*/
import { Unsolved } from "../Unsolved";
import { Problem } from "./Problem";
export class Problem17 extends Problem{
//Variables
//Static variables
private static START_NUM: number = 1; //This is the smallest number to get the words of
private static STOP_NUM: number = 1000; //This is the largest number to get the words of
//Instance variables
private letterCount: number; //This is the cumulative number of letters in the words of the numbers
//Functions
//Constructor
public constructor(){
super(`If all of teh numbers from ${Problem17.START_NUM} to ${Problem17.STOP_NUM} inclusive were written out in words, how many letters would be used?`);
this.letterCount = 0;
}
//Operational functions
//Solve the problem
public solve(): void{
//If the problem has already been solved do nothing and end the function
if(this.solved){
return;
}
//Start the timer
this.timer.start();
//Start with 1 and increment
for(let num: number = Problem17.START_NUM;num <= Problem17.STOP_NUM;++num){
//Pass the number to a function that will create a string for the number
let currentNumString: string = this.makeWordFromNum(num);
//Pass the string to the function that will count the number of letters in it, ignoring whitespace and punctuation and add that number to the running tally
this.letterCount += this.getNumberChars(currentNumString);
}
//Stop the timer
this.timer.stop();
//Throw a flag to show the problem is solved
this.solved = true;
}
//Reset the problem so it can be run again
public reset(): void{
super.reset();
this.letterCount = 0;
}
//This function makes a word out of the number passed into it
private makeWordFromNum(orgNum: number): string{
let num: number = orgNum;
let numberString: string = "";
//Starting with the largest digit create a string based on the number passed in
//Check for negative
if(num < 0){
numberString += "negative ";
}
//Check if the number is zero
if(num == 0){
numberString += "zero";
}
//Start with the thousands place
if((num / 1000) >= 1){
numberString += this.makeWordFromNum(Math.floor(num / 1000));
numberString += " thousand";
num -= (Math.floor(num / 1000) * 1000);
}
//Check the hundreds place
if((num / 100) >= 1){
numberString += this.makeWordFromNum(Math.floor(num / 100));
numberString += " hundred";
num -= (Math.floor(num / 100) * 100);
}
//Insert an and if there is need
if((numberString.trim().length > 0) && (num > 0)){
numberString += " and ";
}
//Check for tens place
if((num / 10) >= 2){
//For the tens you need to do something special
let tensPlace: number = Math.floor(num / 10);
switch(tensPlace){
case 9: numberString += "ninety"; break;
case 8: numberString += "eighty"; break;
case 7: numberString += "seventy"; break;
case 6: numberString += "sixty"; break;
case 5: numberString += "fifty"; break;
case 4: numberString += "forty"; break;
case 3: numberString += "thirty"; break;
case 2: numberString += "twenty"; break;
}
num -= (tensPlace * 10);
//If there is something left in the number you will need a dash to separate the tens and ones place
if(num > 0){
numberString += "-";
}
}
//Check for teens
else if((num / 10) >= 1){
let onesPlace: number = (num % 10);
switch(onesPlace){
case 9: numberString += "nineteen"; break;
case 8: numberString += "eighteen"; break;
case 7: numberString += "seventeen"; break;
case 6: numberString += "sixteen"; break;
case 5: numberString += "fifteen"; break;
case 4: numberString += "fourteen"; break;
case 3: numberString += "thirteen"; break;
case 2: numberString += "twelve"; break;
case 1: numberString += "eleven"; break;
case 0: numberString += "ten"; break;
}
//If this was hit the number was completed
num = 0;
}
//Check for the ones place
if(num >= 1){
switch(num){
case 9: numberString += "nine"; break;
case 8: numberString += "eight"; break;
case 7: numberString += "seven"; break;
case 6: numberString += "six"; break;
case 5: numberString += "five"; break;
case 4: numberString += "four"; break;
case 3: numberString += "three"; break;
case 2: numberString += "two"; break;
case 1: numberString += "one"; break;
}
//If this was hit the number was completed
num = 0;
}
//If the number is not 0 there was a problem
if(num != 0){
throw new Unsolved("The number " + orgNum + " was not completely reduced!\nRemainder is " + num);
}
//Return the string
return numberString;
}
//This counts the number of letters in the string that is passed in (ignoring numbers and puctuation)
private getNumberChars(num: string): number{
let sumOfLetters: number = 0;
//Start at location 0 and count the number of letters, ignoring punctuation and whitespace
for(let location: number = 0;location < num.length;++location){
let char = num.charAt(location).toLowerCase();
if((char >= "a") && (char <= "z")){
sumOfLetters += 1;
}
}
//Returns the number of letters
return sumOfLetters;
}
//Gets
//Returns the result of solving the problem
public getResult(): string{
this.solvedCheck("result");
return `The sum of all the letters in all the numbers ${Problem17.START_NUM}-${Problem17.STOP_NUM} is ${this.letterCount}`;
}
//Returns the number of letters asked for
public getLetterCount(): number{
this.solvedCheck("letter count");
return this.letterCount;
}
}
/* Results:
The sum of all the letters in all the numbers 1-1000 is 21124
It took an average of 485.744 microseconds to run this problem through 100 iterations
*/