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								id: 5900f37f1000cf542c50fe92
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								title: 'Problem 19: Counting Sundays'
							 
						 
					
						
							
								
									
										
										
										
											2020-11-27 19:02:05 +01:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								challengeType: 5
							 
						 
					
						
							
								
									
										
										
										
											2019-08-05 09:17:33 -07:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								forumTopicId: 301827
							 
						 
					
						
							
								
									
										
										
										
											2021-01-13 03:31:00 +01:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								dashedName: problem-19-counting-sundays
							 
						 
					
						
							
								
									
										
										
										
											2018-09-30 23:01:58 +01:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								---
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
									
										
										
										
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								# --description--
  
						 
					
						
							
								
									
										
										
										
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											2018-09-30 23:01:58 +01:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								You are given the following information, but you may prefer to do some research for yourself.
							 
						 
					
						
							
								
									
										
										
										
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								< ul >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  < li > 1 Jan 1900 was a Monday.< / li > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  < li > Thirty days has September,< br > April, June and November.< br > All the rest have thirty-one,< br > Saving February alone,< br > Which has twenty-eight, rain or shine.< br > And on leap years, twenty-nine.< / li > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  < li > A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.< / li > 
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< / ul >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
									
										
										
										
											2018-09-30 23:01:58 +01:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)?
							 
						 
					
						
							
								
									
										
										
										
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								# --hints--
  
						 
					
						
							
								
									
										
										
										
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								`countingSundays(1943, 1946)`  should return a number. 
						 
					
						
							
								
									
										
										
										
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								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								assert(typeof countingSundays(1943, 1946) === 'number');
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```
							 
						 
					
						
							
								
									
										
										
										
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								`countingSundays(1943, 1946)`  should return 6. 
						 
					
						
							
								
									
										
										
										
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								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								assert.strictEqual(countingSundays(1943, 1946), 6);
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								`countingSundays(1995, 2000)`  should return 10. 
						 
					
						
							
								
									
										
										
										
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								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								assert.strictEqual(countingSundays(1995, 2000), 10);
							 
						 
					
						
							
								
									
										
										
										
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								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
									
										
										
										
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								`countingSundays(1901, 2000)`  should return 171. 
						 
					
						
							
								
									
										
										
										
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								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								assert.strictEqual(countingSundays(1901, 2000), 171);
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# --seed--
  
						 
					
						
							
								
									
										
										
										
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								## --seed-contents--
  
						 
					
						
							
								
									
										
										
										
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								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								function countingSundays(firstYear, lastYear) {
							 
						 
					
						
							
								
									
										
										
										
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								  return true;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								}
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								countingSundays(1943, 1946);
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
									
										
										
										
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								# --solutions--
  
						 
					
						
							
								
									
										
										
										
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								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								function countingSundays(firstYear, lastYear) {
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  let sundays = 0;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  for (let year = firstYear; year < = lastYear; year++) {
							 
						 
					
						
							
								
									
										
										
										
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								    for (let month = 0; month < = 11; month++) {
							 
						 
					
						
							
								
									
										
										
										
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								      const thisDate = new Date(year, month, 1);
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								      if (thisDate.getDay() === 0) {
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								        sundays++;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								      }
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    }
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  }
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  return sundays;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								}
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```