{"status": "success", "data": {"description_md": "**POTD September 14, 2024**\n\nMark and William are playing a game with a stored value. On his turn, a player may either multiply the stored value by $2$ and add $1$ or he may multiply the stored value by $4$ and add $3$. The first player to make the stored value exceed $2^{100}$ wins. The stored value starts at $1$ and Mark goes first. Assuming both players play optimally, what is the maximum number of times that William can make a move?", "description_html": "<p><strong>POTD September 14, 2024</strong></p>&#10;<p>Mark and William are playing a game with a stored value. On his turn, a player may either multiply the stored value by <span class=\"katex--inline\">2</span> and add <span class=\"katex--inline\">1</span> or he may multiply the stored value by <span class=\"katex--inline\">4</span> and add <span class=\"katex--inline\">3</span>. The first player to make the stored value exceed <span class=\"katex--inline\">2^{100}</span> wins. The stored value starts at <span class=\"katex--inline\">1</span> and Mark goes first. Assuming both players play optimally, what is the maximum number of times that William can make a move?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #273", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}