{"status": "success", "data": {"description_md": "**POTD May 3, 2024**\n\nExcept for the first two terms, each term of the sequence $1000, x, 1000 - x,\\ldots$ is obtained by subtracting the preceding term from the one before that. The last term of the sequence is the first negative term encountered. What positive integer $x$ produces a sequence of maximum length?", "description_html": "<p><strong>POTD May 3, 2024</strong></p>&#10;<p>Except for the first two terms, each term of the sequence <span class=\"katex--inline\">1000, x, 1000 - x,\\ldots</span> is obtained by subtracting the preceding term from the one before that. The last term of the sequence is the first negative term encountered. What positive integer <span class=\"katex--inline\">x</span> produces a sequence of maximum length?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #145", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}