{"status": "success", "data": {"description_md": "In $\\triangle ABC$,  $\\angle C = 90^{\\circ}, AC = 5, BC = 12$. The side length of the largest square that can fit in $\\triangle ABC$, where one side of the square must be on the hypotenuse, can be expressed as $\\frac{m}{n}$, where $\\gcd(m, n)=1$. Compute $m -n$.", "description_html": "<p>In <span class=\"katex--inline\">\\triangle ABC</span>,  <span class=\"katex--inline\">\\angle C = 90^{\\circ}, AC = 5, BC = 12</span>. The side length of the largest square that can fit in <span class=\"katex--inline\">\\triangle ABC</span>, where one side of the square must be on the hypotenuse, can be expressed as <span class=\"katex--inline\">\\frac{m}{n}</span>, where <span class=\"katex--inline\">\\gcd(m, n)=1</span>. Compute <span class=\"katex--inline\">m -n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Christmas Contest - Guts Round - Set 3 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}