{"status": "success", "data": {"description_md": "If $a_1 + a_2 + ... + a_n = 64$, Find the minimum value of:\n\n$\\dfrac{{a_1}^4}{{a_1}^3 + {a_1}^2a_2 + a_1{a_2}^2 + {a_2}^3} + \\dfrac{{a_2}^4}{{a_2}^3 + {a_2}^2a_3 + a_2{a_3}^2 + {a_3}^3} + ... + \\dfrac{{a_n}^4}{{a_n}^3 + {a_n}^2a_1 + a_n{a_1}^2 + {a_1}^3}$", "description_html": "<p>If <span class=\"katex--inline\">a_1 + a_2 + ... + a_n = 64</span>, Find the minimum value of:</p>&#10;<p><span class=\"katex--inline\">\\dfrac{{a_1}^4}{{a_1}^3 + {a_1}^2a_2 + a_1{a_2}^2 + {a_2}^3} + \\dfrac{{a_2}^4}{{a_2}^3 + {a_2}^2a_3 + a_2{a_3}^2 + {a_3}^3} + ... + \\dfrac{{a_n}^4}{{a_n}^3 + {a_n}^2a_1 + a_n{a_1}^2 + {a_1}^3}</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "Christmas Contest - Team Round - Problem 29", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_team-p30", "prev": "/problem/christmas1_team-p28"}}