{"status": "success", "data": {"description_md": "The graphs of $y=x$, $y=-x$, and $x^2+y^2=4$ bound four finite regions in the $xy$ cartesian plane. The sum of the perimeters of these four regions can be written as $a + b \\pi$, for positive integers $a$ and $b$. Compute $a+b$.", "description_html": "<p>The graphs of <span class=\"katex--inline\">y=x</span>, <span class=\"katex--inline\">y=-x</span>, and <span class=\"katex--inline\">x^2+y^2=4</span> bound four finite regions in the <span class=\"katex--inline\">xy</span> cartesian plane. The sum of the perimeters of these four regions can be written as <span class=\"katex--inline\">a + b \\pi</span>, for positive integers <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span>. Compute <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Mock Euclid 2025 - Problem 3 Part A", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}