1. Write a program that calculates the annual instalments and the interest on a loan charged by a bank. The instalment of the debt is the same in each year, and the instalment is payed once a year. The program asks the user to give the loan sum in the beginning, the interest rate and the time to pay the loan.
2. Write a function int samat (eka[], toka[]) that checks if the string eka is the same than the string toka. The function returns 1 if the strings are same and 0 if they are not.
3. Write a function int lueluku() that reads from the input an integer given as digits ( for example 200, 153, 32) and returns the value of the integer. If the input string is not an integer the function returns -1.Your function should be able to read integers up to 8 digits.
4. Write a function int alkuluku(int luku) that tells if the number given as parameter is a prime number or not. A number is a prime if it is divisible only by itself and 1. Write a main program that prints prime numbers between 1-n, where n is read from input. You can use either your function from problem 3 or the example functions from the course book for reading. You can expect n to be of type int.
5. Write the function int itob(int n, char s[], int b) that converts the interger n into a base b character representation in the string s. The base b is between 2-36. The function returns the length of the written string or -1 if the base was illegal. Then write a prgram that prints a number from its input in all bases between 2-36.
6. Write a program that reads two datums in the form dd.mm.yyyy and calculates the difference between them in days. Your solution should also take into account the leap years. A year is a leap year if is divisiple by 4. However from years divisible by 100 only years divisible by 400 are leap years.