{"status": "success", "data": {"description_md": "**POTD April 12, 2024**\n\nPoints $A,B,C,D$ lie on a circle in that order. Let $AC, BD$ intersect at a point $E$ inside the circle. Given that $[ABE]\\cdot[CDE] = 2024$, find the value of $[ADE] \\cdot [BCE]$.", "description_html": "<p><strong>POTD April 12, 2024</strong></p>&#10;<p>Points <span class=\"katex--inline\">A,B,C,D</span> lie on a circle in that order. Let <span class=\"katex--inline\">AC, BD</span> intersect at a point <span class=\"katex--inline\">E</span> inside the circle. Given that <span class=\"katex--inline\">[ABE]\\cdot[CDE] = 2024</span>, find the value of <span class=\"katex--inline\">[ADE] \\cdot [BCE]</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "Problem of the Day #125", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}