{"status": "success", "data": {"description_md": "**POTD December 7, 2023**\n**Author:** munch\n\nMunch is standing in front of an evil ATM. He has $100$ credit cards on him, and he knows that for every positive integer $k \\le 100$ one of the cards contains exactly $k$ dollars. However, the cards are visually indistinguishable and Munch does not know which card contains how many dollars. Whenever Munch inserts a card into the ATM and punches in a positive integer $n$, one of two things happens. If the card contains fewer than $n$ dollars, the ATM eats it without giving Munch any of the money in it. Otherwise, the ATM gives Munch exactly $n$ dollars and then eats the card anyway. What is the largest number of dollars that Munch can be sure to gain?", "description_html": "<p><strong>POTD December 7, 2023</strong><br/>&#10;<strong>Author:</strong> munch</p>&#10;<p>Munch is standing in front of an evil ATM. He has <span class=\"katex--inline\">100</span> credit cards on him, and he knows that for every positive integer <span class=\"katex--inline\">k \\le 100</span> one of the cards contains exactly <span class=\"katex--inline\">k</span> dollars. However, the cards are visually indistinguishable and Munch does not know which card contains how many dollars. Whenever Munch inserts a card into the ATM and punches in a positive integer <span class=\"katex--inline\">n</span>, one of two things happens. If the card contains fewer than <span class=\"katex--inline\">n</span> dollars, the ATM eats it without giving Munch any of the money in it. Otherwise, the ATM gives Munch exactly <span class=\"katex--inline\">n</span> dollars and then eats the card anyway. What is the largest number of dollars that Munch can be sure to gain?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "Problem of the Day #18", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}