{"status": "success", "data": {"description_md": "There exist $N$ functions $P: \\{1,2,3,\\ldots,9\\} \\to \\{1,2,3,\\ldots,9\\}$ such that $$P(1)^1\\cdot P(2)^2\\cdot P(3)^3\\cdot P(4)^4 = 2025. $$\n\nFind the number of factors of $N$.", "description_html": "<p>There exist <span class=\"katex--inline\">N</span> functions <span class=\"katex--inline\">P: \\{1,2,3,\\ldots,9\\} \\to \\{1,2,3,\\ldots,9\\}</span> such that <span class=\"katex--display\">P(1)^1\\cdot P(2)^2\\cdot P(3)^3\\cdot P(4)^4 = 2025.</span></p>&#10;<p>Find the number of factors of <span class=\"katex--inline\">N</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "TxO Math Bowl 2024 - Team Contest - Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/txo2024team-p18", "prev": "/problem/txo2024team-p16"}}