{"status": "success", "data": {"description_md": "**Author:** munch\n\nThe integers from $1$ to $99$ have been written on a blackboard. We define an operation on any $a$, $b$, and $c$ in the board that replaces the three numbers with the number $abc+ab+ac+bc+a+b+c$.\n\nMunch applies this operations some number of times, until the only number remaining on the board is $x$. How many trailing zeros does $x+1$ have? For example, if $x = 1101022999$, there would be $3$ trailing zeroes.", "description_html": "<p><strong>Author:</strong> munch</p>&#10;<p>The integers from <span class=\"katex--inline\">1</span> to <span class=\"katex--inline\">99</span> have been written on a blackboard. We define an operation on any <span class=\"katex--inline\">a</span>, <span class=\"katex--inline\">b</span>, and <span class=\"katex--inline\">c</span> in the board that replaces the three numbers with the number <span class=\"katex--inline\">abc+ab+ac+bc+a+b+c</span>.</p>&#10;<p>Munch applies this operations some number of times, until the only number remaining on the board is <span class=\"katex--inline\">x</span>. How many trailing zeros does <span class=\"katex--inline\">x+1</span> have? For example, if <span class=\"katex--inline\">x = 1101022999</span>, there would be <span class=\"katex--inline\">3</span> trailing zeroes.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Blackboards", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}