{"status": "success", "data": {"description_md": "Several $1 \\times 1\\times 1$ cubes are stacked into an *isosceles 6-staircase* where each layer is a staircase pattern (see below) of size one less than the one below it.\n\n<img src=\"/static/txoguts-s9p1.png\" width=\"500px\">\n<br><br>\n\n*Left: 2-D view of a layer of size $5$.\nRight: Shape of entire staircase pattern. This 3D-graphic was designed with Minecraft (not endorsed).*\n\nThe entire shape is depicted on the right. How many rectangular prisms can be formed by taking a subset of the cubes in this shape?", "description_html": "<p>Several <span class=\"katex--inline\">1 \\times 1\\times 1</span> cubes are stacked into an <em>isosceles 6-staircase</em> where each layer is a staircase pattern (see below) of size one less than the one below it.</p>&#10;<img src=\"/static/txoguts-s9p1.png\" width=\"500px\"/>&#10;<br/><br/>&#10;<p><em>Left: 2-D view of a layer of size <span class=\"katex--inline\">5</span>.<br/>&#10;Right: Shape of entire staircase pattern. This 3D-graphic was designed with Minecraft (not endorsed).</em></p>&#10;<p>The entire shape is depicted on the right. How many rectangular prisms can be formed by taking a subset of the cubes in this shape?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 7, "problem_name": "TxO Math Bowl 2024 - Guts Contest - Set 9 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}