{"status": "success", "data": {"description_md": "**POTD June 6, 2024**\n\nLet $x$ and $y$ be integers from $-10$ to $10$, inclusive, with $xy \\neq 1$. Compute the number of ordered pairs of $(x, y)$ such that $\\left| \\frac{x + y}{1 - xy} \\right| \\le 1.$", "description_html": "<p><strong>POTD June 6, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">x</span> and <span class=\"katex--inline\">y</span> be integers from <span class=\"katex--inline\">-10</span> to <span class=\"katex--inline\">10</span>, inclusive, with <span class=\"katex--inline\">xy \\neq 1</span>. Compute the number of ordered pairs of <span class=\"katex--inline\">(x, y)</span> such that <span class=\"katex--inline\">\\left| \\frac{x + y}{1 - xy} \\right| \\le 1.</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #179", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}