{"status": "success", "data": {"description_md": "**POTD Challenge December 11, 2023**\n**Author:** munch\n\nGiven a $16 \\times 12$ grid, color exactly $96$ squares such that two squares touching at a single vertex may not both be colored. (It is possible for two squares sharing an edge to both be colored).\n\nLet $K$ be the number of possible colorings in this grid, where two colorings are considered to be distinct if they differ by a rotation or reflection of the square. Find the value of $\\sqrt{K}$.", "description_html": "<p><strong>POTD Challenge December 11, 2023</strong><br/>&#10;<strong>Author:</strong> munch</p>&#10;<p>Given a <span class=\"katex--inline\">16 \\times 12</span> grid, color exactly <span class=\"katex--inline\">96</span> squares such that two squares touching at a single vertex may not both be colored. (It is possible for two squares sharing an edge to both be colored).</p>&#10;<p>Let <span class=\"katex--inline\">K</span> be the number of possible colorings in this grid, where two colorings are considered to be distinct if they differ by a rotation or reflection of the square. Find the value of <span class=\"katex--inline\">\\sqrt{K}</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "Problem of the Day #22 (Challenge)", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}