{"status": "success", "data": {"description_md": "Find the smallest positive integer $n$ such that the following expression is an integer.\n\n$$\\sqrt{2\\sqrt{4\\sqrt{8\\sqrt{16\\sqrt{32\\sqrt{2^n}}}}}} $$", "description_html": "<p>Find the smallest positive integer <span class=\"katex--inline\">n</span> such that the following expression is an integer.</p>&#10;<p><span class=\"katex--display\">\\sqrt{2\\sqrt{4\\sqrt{8\\sqrt{16\\sqrt{32\\sqrt{2^n}}}}}} </span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Christmas Contest - Team Round - Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_team-p07", "prev": "/problem/christmas1_team-p05"}}