{"status": "success", "data": {"description_md": "The symbolism $\\lfloor x \\rfloor$ denotes the largest integer not exceeding $x$. For example, $\\lfloor 3 \\rfloor = 3,$ and $\\lfloor 9/2 \\rfloor = 4$. Compute\n$$\\lfloor \\sqrt{1} \\rfloor + \\lfloor \\sqrt{2} \\rfloor + \\lfloor \\sqrt{3} \\rfloor + \\cdots + \\lfloor \\sqrt{16} \\rfloor.$$\n\n$\\textbf{(A) } 35 \\qquad\\textbf{(B) } 38 \\qquad\\textbf{(C) } 40 \\qquad\\textbf{(D) } 42 \\qquad\\textbf{(E) } 136$", "description_html": "<p>The symbolism  <span class=\"katex--inline\">\\lfloor x \\rfloor</span>  denotes the largest integer not exceeding  <span class=\"katex--inline\">x</span> . For example,  <span class=\"katex--inline\">\\lfloor 3 \\rfloor = 3,</span>  and  <span class=\"katex--inline\">\\lfloor 9/2 \\rfloor = 4</span> . Compute<br/>\n <span class=\"katex--display\">\\lfloor \\sqrt{1} \\rfloor + \\lfloor \\sqrt{2} \\rfloor + \\lfloor \\sqrt{3} \\rfloor + \\cdots + \\lfloor \\sqrt{16} \\rfloor.</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 35 \\qquad\\textbf{(B) } 38 \\qquad\\textbf{(C) } 40 \\qquad\\textbf{(D) } 42 \\qquad\\textbf{(E) } 136</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": "2003 AMC 10B Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10B_p08", "prev": "/problem/03_amc10B_p06"}}