{"status": "success", "data": {"description_md": "**POTD June 16, 2024**  \n(we apologize for the double monster trig)  \n  \nIf  \n$$\\prod\\limits_{\\theta=1}^{90^\\circ}\\sin\\theta $$  \n  \ncan be expressed as $a^{-b}\\cdot\\sqrt{c}$, where $a, b, c \\in \\mathbb{Z}^+$, and $a^2$ cannot divide into $c$, find $a+b+c$.", "description_html": "<p><strong>POTD June 16, 2024</strong><br/>&#10;(we apologize for the double monster trig)</p>&#10;<p>If<br/>&#10;<span class=\"katex--display\">\\prod\\limits_{\\theta=1}^{90^\\circ}\\sin\\theta</span></p>&#10;<p>can be expressed as <span class=\"katex--inline\">a^{-b}\\cdot\\sqrt{c}</span>, where <span class=\"katex--inline\">a, b, c \\in \\mathbb{Z}^+</span>, and <span class=\"katex--inline\">a^2</span> cannot divide into <span class=\"katex--inline\">c</span>, find <span class=\"katex--inline\">a+b+c</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #189", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}