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ProjectEulerTS/Problems/Problem19.ts

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5.8 KiB
TypeScript

//ProjectEulerTS/Problems/Problem18.ts
//Matthew Ellison
// Created: 04-06-21
//Modified: 07-14-21
//How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)?
/*
You are given the following information, but you may prefer to do some research for yourself.
1 Jan 1900 was a Monday.
Thirty days has September,
April, June and November.
All the rest have thirty-one,
Saving February alone,
Which has twenty-eight, rain or shine.
And on leap years, twenty-nine.
A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.
*/
//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 { Problem } from "./Problem";
//An easier way to signal day of the week
enum DAYS {SUNDAY, MONDAY, TUESDAY, WEDNESDAY, THURSDAY, FIRDAY, SATURDAY, NUMBER_OF_DAYS, ERROR};
export class Problem19 extends Problem{
//Variables
//Static variables
private static START_YEAR: number = 1901; //The first year we are going to test
private static END_YEAR: number = 2000; //The last year we are going to test
//Instance variables
private totalSundays: number; //Keep track of the number of sundays
//Functions
//Constructor
public constructor(){
super(`How many Sundays fell on the first of the month during the twentieth century (1 Jan ${Problem19.START_YEAR} to 31 Dec ${Problem19.END_YEAR})?`);
this.totalSundays = 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();
//Run for all years 1901-2000
for(let year = Problem19.START_YEAR;year <= Problem19.END_YEAR;++year){
//Run for all months in the year
for(let month = 1;month <= 12;++month){
let day: DAYS = this.getDay(month, 1, year);
if(day == DAYS.ERROR){
console.log("There was an error with the day");
}
else if(day == DAYS.SUNDAY){
++this.totalSundays;
}
}
}
//Stop the timer
this.timer.stop();
//Throw a flag to show the problem is solved
this.solved = true;
}
//Return the day of the week that the data you pass into it is on
private getDay(month: number, day: number, year: number): DAYS{
//Make sure the numbers are within propper bounds
if((month < 1) || (month > 12) || (day < 1) || (day > 31) || (year < 1)){
return DAYS.ERROR;
}
let numDays: number = 0;
let currentYear: number = 1;
let currentMonth: number = 1;
let currentDay: number = DAYS.SATURDAY;
--day;
//Add the correct number of days for every year
while(currentYear < year){
if(this.isLeapYear(currentYear)){
numDays += 366;
}
else{
numDays += 365;
}
++currentYear;
}
//Add the correct number of days for every month
while(currentMonth < month){
switch(currentMonth){
case 1:
case 3:
case 5:
case 7:
case 8:
case 10:
case 12: numDays += 31; break;
case 4:
case 6:
case 9:
case 11: numDays += 30; break;
case 2:
if(this.isLeapYear(currentYear)){
numDays += 29;
}
else{
numDays += 28;
}
break;
}
++currentMonth;
}
//Account for the weird year of 1752
if(year > 1752){
numDays -= 11;
}
else if(year == 1752){
if(month > 9){
numDays -= 11;
}
else if(month == 9){
if(day >= 14){
numDays -= 11;
}
else if((day > 2) && (day < 14)){
console.log("Hit 1752 error");
return DAYS.ERROR;
}
}
}
//Add the correct number of days for every day
numDays += day;
currentDay += numDays;
currentDay = currentDay % DAYS.NUMBER_OF_DAYS;
switch(currentDay){
case DAYS.SUNDAY: return DAYS.SUNDAY;
case DAYS.MONDAY: return DAYS.MONDAY;
case DAYS.TUESDAY: return DAYS.TUESDAY;
case DAYS.WEDNESDAY: return DAYS.WEDNESDAY;
case DAYS.THURSDAY: return DAYS.THURSDAY;
case DAYS.FIRDAY: return DAYS.FIRDAY;
case DAYS.SATURDAY: return DAYS.SATURDAY;
default: console.log("Hit default error"); return DAYS.ERROR;
}
}
//Returns true if the year passed to it is a leap year
private isLeapYear(year: number): boolean{
if(year < 1){
return false;
}
else if((year % 100) == 0){
//This rule only applies at and after 1800
if(year <= 1700){
return true;
}
else if((year % 400) == 0){
return true;
}
}
else if((year % 4) == 0){
return true;
}
return false;
}
//Reset the problem so it can be run again
public reset(): void{
super.reset();
this.totalSundays = 0;
}
//Gets
//Returns the result of solving the problem
public getResult(): string{
this.solvedCheck("result");
return `There are ${this.totalSundays} Sundays that landed on the first of the months from ${Problem19.START_YEAR} to ${Problem19.END_YEAR}`;
}
//Returns the total sundays that were asked for
public getTotalSundays(): number{
this.solvedCheck("total number of sundays");
return this.totalSundays;
}
}
/* Results:
There are 171 Sundays that landed on the first of the months from 1901 to 2000
It took an average of 4.314 milliseconds to run this problem through 100 iterations
*/