{"status": "success", "data": {"description_md": "A $100\\times 100\\times 100$ cube $PQRSTUVW$ is made of $1\\times1\\times1$ non-overlapping cubes. $Z$ is a point on $PS$ such that $PZ = 33$. Through how many of these $1\\times1\\times1$ cubes does $VZ$ pass?", "description_html": "<p>A <span class=\"katex--inline\">100\\times 100\\times 100</span> cube <span class=\"katex--inline\">PQRSTUVW</span> is made of <span class=\"katex--inline\">1\\times1\\times1</span> non-overlapping cubes. <span class=\"katex--inline\">Z</span> is a point on <span class=\"katex--inline\">PS</span> such that <span class=\"katex--inline\">PZ = 33</span>. Through how many of these <span class=\"katex--inline\">1\\times1\\times1</span> cubes does <span class=\"katex--inline\">VZ</span> pass?</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Christmas Contest - Individual Round - Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_individual-p10", "prev": "/problem/christmas1_individual-p08"}}