Write a program that displays all the leap years, ten per line, from 2014 to 2114 , separated by

Write a program that displays all the leap years, ten per...

Key Concepts

Leap Year Determination

A leap year is a year that contains an extra day, February 29th, to keep the calendar year synchronized with the astronomical year. The common rule used is that a year is a leap year if it is divisible by 4, except for years divisible by 100, unless they are also divisible by 400. This concept is crucial for correctly determining which years qualify as leap years in any given range.

Looping and Iteration

Looping is a programming construct used to repeat a block of code a specified number of times or until a condition is met. It is essential for tasks such as iterating through a sequence of numbers, like a range of years, to check each one for a specific property. This helps efficiently process and analyze large datasets or continuous intervals.

Conditional Statements

Conditional statements allow a program to make decisions based on specific criteria or conditions. In the context of checking for leap years, conditional statements are used to apply the leap year rules to each year, executing the appropriate actions only when the condition (being a leap year) is met.

Formatted Output

Formatted output involves controlling the appearance of data when it is displayed. This includes specifying the spacing between output values and organizing data into a structured format like printing a fixed number of items per line. Proper formatting enhances the readability and usability of the output, which is important in user interfaces and reports.

Counting Mechanism

A counting mechanism is used in programming to keep track of the number of occurrences that meet a specific condition. In this context, it is used to count the number of leap years within a given range, ensuring that the final output accurately reflects the total count. This concept is fundamental in problems that require aggregation or summarization of data.

Transcript

00:01 And this problem, we want to print out a list of leap years, years that have a leap day.

00:09 I'm going to end up using a string, so i'm going to say answer string, and i'm going to start off by making it an empty string.

00:21 And i need to keep track of how many i've done, because as soon as i get 10, i want to start a new line.

00:32 And so i'm going to start with four year in range.

00:41 And they want us to do the year 2001 through the year 2100, so i'll put 2101.

00:49 Always want to put one more right there for the in order for the for loop to actually include 2100 when it's cycling through the different numbers.

01:02 I'm going to start, if you know anything, about leap years.

01:06 One, you should know it's a leap year occurs every four years, but if it's an even numbered year, take that back.

01:13 If it's a, if it's a century, like 2 ,100, 2 ,200, 2 ,300, there's no leap year.

01:21 There's another exemption of that.

01:23 Let me write this first, though.

01:24 So if year, modulus, 100, so if i divide it by 100 and i have a remainder of zero, that means the year is exactly divisible by 100.

01:38 I am not going to do anything because the year 2100 is not a leap year.

01:44 If we were doing a wider range of numbers that included the year 2000, we would have to include the fact that every fourth hundred years, you do get a leap year.

01:56 2000s a leap year, 2400 will be a leap year, et cetera.

02:00 More information that you want, i'm sure, but i'm going to press on.

02:03 The one that we're expecting if year divided by, if the remainder when i divide year by 4 is equal to 0, that means it's a leap year.

02:17 I'm going to say answer string, let's say plus equals.

02:26 I'm just going to add onto it.

02:28 I'm going to convert the year to a string.

02:35 And i want to put spaces between...