{"status": "success", "data": {"description_md": "On the $xy$ cartesian plane, the $x$-axis, the $y$-axis, and the line $y=ax+b$ form a triangle. Compute the number of ordered pairs $(a, b)$, where $a$ and $b$ are positive integers less than $20$, such that the area of this triangle is equal to $4$.", "description_html": "<p>On the <span class=\"katex--inline\">xy</span> cartesian plane, the <span class=\"katex--inline\">x</span>-axis, the <span class=\"katex--inline\">y</span>-axis, and the line <span class=\"katex--inline\">y=ax+b</span> form a triangle. Compute the number of ordered pairs <span class=\"katex--inline\">(a, b)</span>, where <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are positive integers less than <span class=\"katex--inline\">20</span>, such that the area of this triangle is equal to <span class=\"katex--inline\">4</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Mock Euclid 2025 - Problem 4 Part B", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}