{"status": "success", "data": {"description_md": "Sandy is a zookeeper in charge of the monkey enclosures. She has three types of monkeys: red, green, and blue. Blue monkeys are aggressive towards other blue monkeys, red monkeys are aggressive towards any non-red monkey, green monkeys are neutral, and if any monkey is aggressive towards another, they will attack and start a fight. Given that Sandy has at least one of each monkey, what is the maximum amount of blue monkeys Sandy can own such that they can be placed into $2024$ enclosures without any fights breaking out?\n\n $\\textbf{(A)}~2023\\qquad\\textbf{(B)}~2024\\qquad\\textbf{(C)}~4048\\qquad\\textbf{(D)}~8096$\n$\\textbf{(E)}~\\text{Sandy can own an infinite amount of blue monkeys}$", "description_html": "<p>Sandy is a zookeeper in charge of the monkey enclosures. She has three types of monkeys: red, green, and blue. Blue monkeys are aggressive towards other blue monkeys, red monkeys are aggressive towards any non-red monkey, green monkeys are neutral, and if any monkey is aggressive towards another, they will attack and start a fight. Given that Sandy has at least one of each monkey, what is the maximum amount of blue monkeys Sandy can own such that they can be placed into <span class=\"katex--inline\">2024</span> enclosures without any fights breaking out?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}~2023\\qquad\\textbf{(B)}~2024\\qquad\\textbf{(C)}~4048\\qquad\\textbf{(D)}~8096</span><br/>&#10;<span class=\"katex--inline\">\\textbf{(E)}~\\text{Sandy can own an infinite amount of blue monkeys}</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2024 Mock AMC 12 - Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/2024_mock_amc12-p07", "prev": "/problem/2024_mock_amc12-p05"}}