{"status": "success", "data": {"description_md": "**POTD June 2, 2024**\n\nFind the value of:\n$$\\left\\lfloor\\prod_{n = 2}^{2022}\\frac{2n + 2}{2n + 1}\\right\\rfloor $$ Given that the answer is relatively prime to $2022$.", "description_html": "<p><strong>POTD June 2, 2024</strong></p>&#10;<p>Find the value of:<br/>&#10;<span class=\"katex--display\">\\left\\lfloor\\prod_{n = 2}^{2022}\\frac{2n + 2}{2n + 1}\\right\\rfloor</span> Given that the answer is relatively prime to <span class=\"katex--inline\">2022</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #175", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}