Question 37
Cutting papers - At the beginning of a joke, André had seven pieces of paper. In the first round of the game, he took some of these pieces and cut each one of them into seven pieces, which were mixed with the pieces of paper that were not cut in that round. In the second round, he again took some pieces and cut each one of them into seven pieces, which were mixed with the other papers. Continuing in this way, at the end of some round, can André have exactly $2009$ pieces of paper?