Suppose in a class of 100 students, there is a homework due every week. The professor wants to encourage students to hand in their homework early so, for each homework, he gives extra credit to the first 25 students who turn their homework in. The professor wants to have a record of which students get the extra credit for each week. So, for each week, he stores the list of 25 students who will get extra credit for that week.

Devise an encoding scheme that allows for 100 weeks of data into 1kb (Describe the scheme and also how many bits of data you need for each week)