{"status": "success", "data": {"description_md": "A list of $2018$ positive integers has a unique mode, which occurs exactly $10$ times. What is the least number of distinct values that can occur in the list?\n\n$\\textbf{(A) }202 \\qquad\n\\textbf{(B) }223 \\qquad\n\\textbf{(C) }224 \\qquad\n\\textbf{(D) }225 \\qquad\n\\textbf{(E) }234 \\qquad$", "description_html": "<p>A list of  <span class=\"katex--inline\">2018</span>  positive integers has a unique mode, which occurs exactly  <span class=\"katex--inline\">10</span>  times. What is the least number of distinct values that can occur in the list?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }202 \\qquad\n\\textbf{(B) }223 \\qquad\n\\textbf{(C) }224 \\qquad\n\\textbf{(D) }225 \\qquad\n\\textbf{(E) }234 \\qquad</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": 3, "problem_name": "2018 AMC 10B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p15", "prev": "/problem/18_amc10B_p13"}}