{"status": "success", "data": {"description_md": "Let $A, B, C$, and $D$ be integers between $0$ and $9$, inclusive, such that $A,B\\neq  0$ and $\\overline{ABC} + \\overline{BCA} = \\overline{ADBD}$. Compute $A+B+C+D$. Note that $\\overline{ABCD}$ denotes the four digit base-$10$ integer with digits $A, B, C$, and $D$.", "description_html": "<p>Let <span class=\"katex--inline\">A, B, C</span>, and <span class=\"katex--inline\">D</span> be integers between <span class=\"katex--inline\">0</span> and <span class=\"katex--inline\">9</span>, inclusive, such that <span class=\"katex--inline\">A,B\\neq  0</span> and <span class=\"katex--inline\">\\overline{ABC} + \\overline{BCA} = \\overline{ADBD}</span>. Compute <span class=\"katex--inline\">A+B+C+D</span>. Note that <span class=\"katex--inline\">\\overline{ABCD}</span> denotes the four digit base-<span class=\"katex--inline\">10</span> integer with digits <span class=\"katex--inline\">A, B, C</span>, and <span class=\"katex--inline\">D</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Holiday Contest 2025 - Team Round - Problem 10", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}