1. In an arm wrestling tournament, $2^{n}$ athletes participate, where $n$ is a natural number greater than 7. One point is awarded for a win, and zero points for a loss. Before each round, pairs are formed by drawing lots among participants with the same number of points (those who do not find a pair are simply given a point). After the seventh round, it turned out that exactly 42 participants had 5 points. What is $n$?