{"status": "success", "data": {"description_md": "Johnny arrives at a Carnival at $0:00$ with 4 tickets. Each hour starting at $1:00$, he collects a ticket. At $1:31$ he spends one ticket. At $3:01$ he spends two tickets. At $4:31$ he spends three tickets, and so on: every one and a half hour after $1:31$, he spends one more ticket than an hour and a half ago.\n\nAt what time does Johnny not have enough tickets to continue this pattern? Express your answer as a time, with the colon removed (so if your answer was $5:43$, input $543$).", "description_html": "<p>Johnny arrives at a Carnival at <span class=\"katex--inline\">0:00</span> with 4 tickets. Each hour starting at <span class=\"katex--inline\">1:00</span>, he collects a ticket. At <span class=\"katex--inline\">1:31</span> he spends one ticket. At <span class=\"katex--inline\">3:01</span> he spends two tickets. At <span class=\"katex--inline\">4:31</span> he spends three tickets, and so on: every one and a half hour after <span class=\"katex--inline\">1:31</span>, he spends one more ticket than an hour and a half ago.</p>&#10;<p>At what time does Johnny not have enough tickets to continue this pattern? Express your answer as a time, with the colon removed (so if your answer was <span class=\"katex--inline\">5:43</span>, input <span class=\"katex--inline\">543</span>).</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Christmas Contest - Team Round - Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_team-p13", "prev": "/problem/christmas1_team-p11"}}