You write a positive integer on each of 100 cards. The interviewer sees them, shuffles, guesses the top card and wins its value if right. How do you minimise the expected win?

You are given 100 blank cards and write one positive integer on each. The interviewer looks at all the cards, shuffles them and guesses the value of the top card. If the guess is right, the interviewer wins that number of dollars. What should you write to minimise the interviewer's expected winnings?