{"status": "success", "data": {"description_md": "Let $a,b,c,d,e,f,g$ and $h$ be distinct elements in the set\n\n$$\\{-7,-5,-3,-2,2,4,6,13\\}.$$<br>What is the minimum possible value of\n\n$$(a+b+c+d)^{2}+(e+f+g+h)^{2}?$$\n\n$\\mathrm{(A)}\\ 30     \\qquad<br>\\mathrm{(B)}\\ 32     \\qquad<br>\\mathrm{(C)}\\ 34     \\qquad<br>\\mathrm{(D)}\\ 40     \\qquad<br>\\mathrm{(E)}\\ 50$\n___\nFull 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>Let  <span class=\"katex--inline\">a,b,c,d,e,f,g</span>  and  <span class=\"katex--inline\">h</span>  be distinct elements in the set</p>&#10;<p> <span class=\"katex--display\">\\{-7,-5,-3,-2,2,4,6,13\\}.</span> <br/>What is the minimum possible value of</p>&#10;<p> <span class=\"katex--display\">(a+b+c+d)^{2}+(e+f+g+h)^{2}?</span> </p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 30     \\qquad\\mathrm{(B)}\\ 32     \\qquad\\mathrm{(C)}\\ 34     \\qquad\\mathrm{(D)}\\ 40     \\qquad\\mathrm{(E)}\\ 50</span> </p>&#10;<hr><p>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": 3, "problem_name": "2005 AMC 12B Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p21", "prev": "/problem/05_amc12B_p19"}}