{"status": "success", "data": {"description_md": "On an island there are two types of inhabitants: Heroes who always tell the truth and Villains who always lie. Four inhabitants are seated around a table. When each is asked \"Are you a Hero or a Villain?\", all four reply \"Hero\". When asked \"Is the person on your right a Hero or a Villain?\", all four reply \"Villain\". How many Heroes are present?\n\n$\\text{(A)}\\ 0\\qquad\\text{(B)}\\ 1\\qquad\\text{(C)}\\ 2\\qquad\\text{(D)}\\ 3\\qquad\\text{(E)}\\ 4$\n\n___\n\n**[Cayley](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>On an island there are two types of inhabitants: Heroes who always tell the truth and Villains who always lie. Four inhabitants are seated around a table. When each is asked \"Are you a Hero or a Villain?\", all four reply \"Hero\". When asked \"Is the person on your right a Hero or a Villain?\", all four reply \"Villain\". How many Heroes are present?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 0\\qquad\\text{(B)}\\ 1\\qquad\\text{(C)}\\ 2\\qquad\\text{(D)}\\ 3\\qquad\\text{(E)}\\ 4</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2007 Cayley Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/07_cayley_p18", "prev": "/problem/07_cayley_p16"}}