{"status": "success", "data": {"description_md": "Let $N=100^2+99^2-98^2-97^2+96^2+\\cdots+4^2+3^2-2^2-1^2$, where the additions and subtractions alternate in pairs. Find the remainder when $N$ is divided by $1000$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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\">N=100^2+99^2-98^2-97^2+96^2+\\cdots+4^2+3^2-2^2-1^2</span>, where the additions and subtractions alternate in pairs. Find the remainder when <span class=\"katex--inline\">N</span> is divided by <span class=\"katex--inline\">1000</span>.</p>&#10;<hr/>&#10;<p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2008 AIME II Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/08_aime_II_p02", "prev": ""}}