{"status": "success", "data": {"description_md": "**POTD February 13, 2024**\n\nFor any positive integer $x_{}$, let $S(x)$ be the sum of the digits of $x_{}$, and let $T(x)$ be $|S(x+2)-S(x)|.$ How many values of $T(x)$ do not exceed $2024$?", "description_html": "<p><strong>POTD February 13, 2024</strong></p>&#10;<p>For any positive integer <span class=\"katex--inline\">x_{}</span>, let <span class=\"katex--inline\">S(x)</span> be the sum of the digits of <span class=\"katex--inline\">x_{}</span>, and let <span class=\"katex--inline\">T(x)</span> be <span class=\"katex--inline\">|S(x+2)-S(x)|.</span> How many values of <span class=\"katex--inline\">T(x)</span> do not exceed <span class=\"katex--inline\">2024</span>?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #68", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}