english: So we proved the claim that, for each fixed , the set of such that there are infinitely many integers such that with has full -measure.
non_english: これで、ナイトさんを、混乱させる！ナイトさんのテスト、✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✗✗✗✗✗✗✗✗✗✗✗✗✗✗✗✗✗✗✗