Problem B. 4678. (January 2015)
B. 4678. Ann and Bill take turns writing digits on a sheet of paper, left to right. Ann starts with a nonzero digit, and they continue until a 100-digit number is formed. Bill wins if the resulting number divided by 11 leaves a remainder of 5, otherwise Ann wins. Both players are good at mathematics. Who will win the game?
Suggested by Gy. Károlyi, Budajenő
Deadline expired on 10 February 2015.
|176 students sent a solution.|
|4 points:||85 students.|
|3 points:||42 students.|
|2 points:||26 students.|
|1 point:||21 students.|
|0 point:||2 students.|