A year with 366 days is called a leap year. Leap years are necessary to keep the calendar synchronized with the sun because the earth revolves around the sun once every 365.25 days. Actually, that figure is not entirely precise, and for all dates after 1582 the Gregorian correction applies. Usually years that are divisible by 4 are leap years, for example 1996. However, years that are divisible by 100 (for example, 1900) are not leap years, but years that are divisible by 400 are leap years (for example, 2000). Write a
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- A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: The year must be divisible by 4 If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Ex: If the input is 1712, the output is: 1712 is a leap year. Ex: If the input is 1913, the output is: 1913 is not a leap year. 1 2 3 4 5 6 7 8 9 10 11 Put("{} is a leap year.".format(i_year)) print("{} is not a leap year.".format(i_year)) inputYear = Get next input What would be the code?arrow_forwardLeap years have 366 days (29 Any year that is divisible by 4 but not by 100 is a leap year. If a year is divisible by 400 then it is also a leap year. So in short any year that is divisible by 4 is a leap year, unless it is divisible by 100, in which case it must also be divisible by 400 for it to be a leap year. Example: 1996 and 2000 were leap years, but 1900 was not. days in February).arrow_forwardA perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors. The first perfect number is 6, because 1, 2 and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: (1 + 2 + 3 + 6) / 2 = 6.Write a program to display the of sum all perfect numbers found in the first 1000 integers in javaarrow_forward
- In number theory, a happy number is a number which eventually reaches 1 when replaced by the sum of the square of each digit. For instance, 13 is a happy number because 1² +3² = 10 and 1² + 0² = 1. On the other hand, 4 is not a happy number because the sequence starting with 4² 16 and 126² = 37 and eventually reaches to 4 that is the number that started the sequence, and so the process continues in an infinite cycle without ever reaching 1. Write, Compile and Execute a Java method that computes whether a given number is happy or sad.arrow_forwardA number is called a perfect number if it is equal to the sum of all of its divisors, not including the number itself. For instance, 6 is a perfect number because the divisors of 6 are 1, 2, 3, 6 and 6 = 1 + 2 + 3. As another example, 28 is a perfect number because its divisors are 1, 2, 4, 7, 14, 28 and 28 = 1 + 2 + 4 + 7+ 14. However, 15 is not a perfect number because its divisors are 1, 3, 5, 15 and 15 6= 1 + 3 + 5. Write an algorithm that asks the user to enter a positive integer n and prints all the perfect numbers that are less than n.arrow_forwardIf a year contains additional day (366), it is called "leap year". This extra day makes Februay 29 days long. Every 4 years a leap year occurs; However, it also depends on some additional conditions. A leap year is exactly divisible by 4 except for century years ending with 100. The century year can be leap year if it is divisible by 400. Examples: 2020, 2024 are leap year 2018, 2019 are not leap year 2000, 1600 are leap year, 1800 are not leap year. Write a code in C or Python that calculates if a year is a leap year or not that entered by user.arrow_forward
- Scenario As you surely know, due to some astronomical reasons, years may be leap or common. The former are 366 days long, while the latter are 365 days long. Since the introduction of the Gregorian calendar (in 1582), the following rule is used to determine the kind of year: if the year number isn't divisible by four, it's a common year, otherwise, if the year number isn't divisible by 100, it's a leap year. otherwise, if the year number isn't divisible by 400, it's a common year. otherwise, it's a leap year. none of the above year int(input("enter the year")) if (year%4 1-0) and (year%400 -0) or (year % 1000): print (year is common year") else: print(year, is leap year") year= int(input ("enter the year")) if (years !-0) or (year480 1-0) and (year % 1001-0): print(year is common year") else: print(year, "is leap year") D year= int(input("enter the year"))arrow_forwardThe nth Fibonacci number F, is defined as follows: Fo = 1, F1 = 1, and F = Fn-1 + Fn-2 for n> 1 In other words, each number is the sum of the two previous numbers in the sequence. Thus, the first several Fibonacci numbers are 1, 1, 2, 3, 5, and 8. Interestingly, certain population growth rates are characterized by the Fibonacci numbers. If a population has no deaths, then the series gives the size of the population after each time period. Assume that a population of green crud grows at a rate described by the Fibonacci numbers and has a time period of 5 days. Hence, if a green crud population starts out as 10 pounds of crud, then after 5 days, there is still 10 pounds of crud; in 10 days, there is 20 pounds of crud; in 15 days, 30 pounds of crud; in 20 days, 50 pounds of crud, and so on. Write a program that takes both the initial size of a green crud population (in pounds) and some number of days as input from the keyboard, and computes from that information the size of the population…arrow_forwardThe mitotic index is a calculated value that represents the percentage of cells in a sample that are actively dividing. It involves counting the total number of cells present including those actively dividing or those in interphase, the total number of cells that are actively dividing (not including interphase), and then calculating what percentage of the total cells are actively dividing (the percentage undergoing mitosis). The formula is: Mitotic index= # of cells in mitosis / # of cells in total x 100% Use this formula to calculate the mitotic index for the diagram seen in Question 5. Show your calculations (you can use * for multiplication and / for division if you prefer) and indicate your final answer as a percentage rounded to the nearest tenth of a percentage (1 decimal place). Note: The mitotic index seen in this simulation is much higher than you would see in a real tissue sample. The sample was simulated this way so that the counting and calculations would be easier…arrow_forward
- the odd numbers are the numbers in the sequence 1,3,5,7,9, .... Define the sequence of S - numbers as follows: the first S - number is 1 The second S - number is the sum of the first S - number and the second odd number the third s - number is the sum of the second S- number and the third odd number. the fourth S- number is the sum of the third S- number and the fourth odd number, etc..,... compute the first seven S- numbers. make a note of any patterns you notice. enter the first seven S- numbers as a comma - seperated list: first seven S- numbers = ________________arrow_forwardA number in base 2 (binary) is a number such that each of its digits is 0 or 1. To convert frombinary to decimal (base 10), the digits starting from the right are multiplied by powers of 2(starting at 0) and added. For example, the value in decimal of 10011 is calculated as follows:arrow_forwardWe usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 different “digits” {0,1,…,9}.{0,1,…,9}. Sometimes though it is useful to write numbers hexadecimal or base 16. Now there are 16 distinct digits that can be used to form numbers: {0,1,…,9,A,B,C,D,E,F}.{0,1,…,9,A,B,C,D,E,F}.So for example, a 3 digit hexadecimal number might be 2B8. How many 2-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)?arrow_forward
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage LearningC++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr