{"status": "success", "data": {"description_md": "Find the number of ways to place a digit in each cell of a $2 \\times 3$ grid so that the sum of the two numbers formed by reading left to right is $999$, and the sum of the three numbers formed by reading top to bottom is $99$. The grid below is an example of such an arrangement because $8+991 = 999$ and $9+9+81 = 99$.<br>$\\includegraphics[width=51, height=34, totalheight=34]{https://latex.artofproblemsolving.com/b/9/d/b9dbad4b2c75165c30be7737c6195600dc96e7fa.png}$\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>Find the number of ways to place a digit in each cell of a <span class=\"katex--inline\">2 \\times 3</span> grid so that the sum of the two numbers formed by reading left to right is <span class=\"katex--inline\">999</span>, and the sum of the three numbers formed by reading top to bottom is <span class=\"katex--inline\">99</span>. The grid below is an example of such an arrangement because <span class=\"katex--inline\">8+991 = 999</span> and <span class=\"katex--inline\">9+9+81 = 99</span>.<br/><img src=\"https://latex.artofproblemsolving.com/b/9/d/b9dbad4b2c75165c30be7737c6195600dc96e7fa.png\" width=\"51\" height=\"34\" class=\"problem-image\"/></p>&#10;<hr><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>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2024 AIME II Problem 3", "can_next": true, "can_prev": true, "nxt": "/problem/24_aime_II_p04", "prev": "/problem/24_aime_II_p02"}}