{"status": "success", "data": {"description_md": "Define $x\\diamond y$ to be $|x-y|$ for all real numbers $x$ and $y.$ What is the value of $$(1\\diamond(2\\diamond3))-((1\\diamond2)\\diamond3)?$$\n\n$\\textbf{(A)}\\ {-}2 \\qquad\n\\textbf{(B)}\\ {-}1 \\qquad\n\\textbf{(C)}\\ 0 \\qquad\n\\textbf{(D)}\\ 1 \\qquad\n\\textbf{(E)}\\ 2$", "description_html": "<p>Define  <span class=\"katex--inline\">x\\diamond y</span>  to be  <span class=\"katex--inline\">|x-y|</span>  for all real numbers  <span class=\"katex--inline\">x</span>  and  <span class=\"katex--inline\">y.</span>  What is the value of  <span class=\"katex--display\">(1\\diamond(2\\diamond3))-((1\\diamond2)\\diamond3)?</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ {-}2 \\qquad\n\\textbf{(B)}\\ {-}1 \\qquad\n\\textbf{(C)}\\ 0 \\qquad\n\\textbf{(D)}\\ 1 \\qquad\n\\textbf{(E)}\\ 2</span> </p>\n<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": 1, "problem_name": "2022 AMC 10B Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/22_amc10B_p02", "prev": ""}}