{"status": "success", "data": {"description_md": "A rectangle is partitioned into $5$ regions as shown. Each region is to be painted a solid color - red, orange, yellow, blue, or green - so that regions that touch are painted different colors, and colors can be used more than once. How many different colorings are possible?<br><center><img class=\"problem-image\" alt=\"[asy] size(5.5cm); draw((0,0)--(0,2)--(2,2)--(2,0)--cycle); draw((2,0)--(8,0)--(8,2)--(2,2)--cycle); draw((8,0)--(12,0)--(12,2)--(8,2)--cycle); draw((0,2)--(6,2)--(6,4)--(0,4)--cycle); draw((6,2)--(12,2)--(12,4)--(6,4)--cycle); [/asy]\" class=\"latexcenter\" height=\"88\" src=\"https://latex.artofproblemsolving.com/c/5/3/c53adae322a3fcf0e0d1d0d2aa43ce0ad69527c9.png\" width=\"262\"/></center>\n\n$\\textbf{(A) }120\\qquad\\textbf{(B) }270\\qquad\\textbf{(C) }360\\qquad\\textbf{(D) }540\\qquad\\textbf{(E) }720$\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>A rectangle is partitioned into  <span class=\"katex--inline\">5</span>  regions as shown. Each region is to be painted a solid color - red, orange, yellow, blue, or green - so that regions that touch are painted different colors, and colors can be used more than once. How many different colorings are possible?<br/><center><img class=\"latexcenter\" alt=\"[asy] size(5.5cm); draw((0,0)--(0,2)--(2,2)--(2,0)--cycle); draw((2,0)--(8,0)--(8,2)--(2,2)--cycle); draw((8,0)--(12,0)--(12,2)--(8,2)--cycle); draw((0,2)--(6,2)--(6,4)--(0,4)--cycle); draw((6,2)--(12,2)--(12,4)--(6,4)--cycle); [/asy]\" height=\"88\" src=\"https://latex.artofproblemsolving.com/c/5/3/c53adae322a3fcf0e0d1d0d2aa43ce0ad69527c9.png\" width=\"262\"/></center></p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }120\\qquad\\textbf{(B) }270\\qquad\\textbf{(C) }360\\qquad\\textbf{(D) }540\\qquad\\textbf{(E) }720</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": 2, "problem_name": "2022 AMC 12A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc12A_p08", "prev": "/problem/22_amc12A_p06"}}