{"status": "success", "data": {"description_md": "The graphs of the equations $$ y=k, \\qquad y=\\sqrt{3}x+2k, \\qquad y=-\\sqrt{3}x+2k, $$ are drawn in the coordinate plane for $k=-10,-9,-8,\\ldots,9,10.$ These 63 lines cut part of the plane into equilateral triangles of side $2/\\sqrt{3}.$ How many such triangles are formed?\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The graphs of the equations <span class=\"katex--display\"> y=k, \\qquad y=\\sqrt{3}x+2k, \\qquad y=-\\sqrt{3}x+2k, </span> are drawn in the coordinate plane for <span class=\"katex--inline\">k=-10,-9,-8,\\ldots,9,10.</span> These 63 lines cut part of the plane into equilateral triangles of side <span class=\"katex--inline\">2/\\sqrt{3}.</span> How many such triangles are formed?</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "1994 AIME Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/94_aime_p07", "prev": "/problem/94_aime_p05"}}