For the following four problems write a complete algorithm. Also make sure include the three step analysis part to receive full credit.

All years that are evenly divisible by $400$ are always a leap year. They are also a leap year if they are evenly divisible by $4$ AND are not evenly divisible by $100.$ For example, $1600$ was a leap year because it is evenly divisible by $400.$ Likewise $1988$ was a leap year because it was evenly divisible by $4$ AND not evenly divisible by $100.$ Write an algorithm to solve this problem for entering any year, providing a positive integer. Output should display either it is a leap year or not.

A store is having a sale on shirts. The shirts cost $$15\mathrm{.}75$ individually, but if four to ten shirts are bought they are only $$12\mathrm{.}50$ a shirt, and if more than ten are purchased then they cost only $$8$ a shirt. Have the problem calculate the price for all the shirts, the sales tax $($at $6\%,$ and the total price based on the number of shirts purchased. Also make sure to display all the data, i$.$e$.$ shirts sold, price of shirts, sales tax and total price.

Solve a problem that has the user continually entering integers, one at a time, and assume these integers are in the range of $0$ to $10,$ but don't test for this, and calculates their sum until the sum is over $35.$ When done the sum and last numbered entered should be displayed. You will need to use a loop of some kind for this one.

A problem that has a user enter positive numbers and keeps record of how many even numbers are entered. When user enters $0$ problem stops and then displays the number of even numbers entered. For example, if user enters $3,56,4,13,779,46$ and $0,$ then problem would display something like "User entered $3$ even numbers". You need to use a loop structure for this one.