You are playing the following simple game against your classmates in a econ course.

Each student picks an integer number between 0 and 100 (inclusive).

You will be a winner if you are the one who chooses a number closest to 2/3 of the class average.

For instance, if the class average is 50, the person who chooses the closest number to 100/3 (i.e., 33) will win.

Write down your number from {0, 1, 2, ..., 100}.