The least common multiple of the denominators 100, 50, and 100 is 100, so let's try N=100.
There will be [1/100] * 100 = 1 ticket with a 0, [81/100] * 100 = 81 tickets with a 2, and [9/50 * 100] = 18 tickets with a 1, for 1 + 81 + 18 = 100 tickets in all.
No rounding was needed, so the box exactly reproduces the desired probabilities.