Arnulfo and Berenice play the following game: One of the two starts by writing a number from 1 to 30, the other chooses a number from 1 to 30 and adds it to the initial number, the first player chooses a number from 1 to 30 and adds it to the previous result, they continue doing the same until someone manages to add 2018. When Arnulfo was about to start, Berenice told him that it was unfair, because whoever started had a winning strategy, so the numbers had better change. So they asked the following question:
Adding chosen numbers from 1 to a, until reaching the number b, what conditions must meet a and b so that the first player does not have a winning strategy?
Indicate if Arnulfo and Berenice are right and answer the question asked by them. combinatoricsgamegame strategywinning strategy