{"status": "success", "data": {"description_md": "*This is a user suggested problem. The TopsOJ staff thanks and gives full credit to [Lamp](https://www.topsoj.com/users/Lamp/profile) for their contribution.*\n\n****\n\nGleb is a $2\\text{-d}$ shape with $12$ edges. Each edge of Gleb is colored either red, green or blue. The probability of choosing a blue edge is $\\frac{1}{12}$. The probability of choosing a red edge is $\\frac{1}{6}$. If the probability of choosing a green edge is $\\frac{a}{b}$, where $a$ and $b$ are relatively prime, positive integers, find $a+b$.", "description_html": "<p><em>This is a user suggested problem. The TopsOJ staff thanks and gives full credit to <a href=\"https://www.topsoj.com/users/Lamp/profile\">Lamp</a> for their contribution.</em></p>&#10;<hr/>&#10;<p>Gleb is a <span class=\"katex--inline\">2\\text{-d}</span> shape with <span class=\"katex--inline\">12</span> edges. Each edge of Gleb is colored either red, green or blue. The probability of choosing a blue edge is <span class=\"katex--inline\">\\frac{1}{12}</span>. The probability of choosing a red edge is <span class=\"katex--inline\">\\frac{1}{6}</span>. If the probability of choosing a green edge is <span class=\"katex--inline\">\\frac{a}{b}</span>, where <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are relatively prime, positive integers, find <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "Gleb's Shape Theorem", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}