Optimize a trip plan for a fixed budget

Create a day-by-day trip plan from the preferences and budget, covering transport, accommodation, meals, and sightseeing. If the plan may exceed the budget, rank practical alternatives by priority.

Three days in Fukuoka with a ¥60,000 budget, focused on food and public transport.

Day 1: Hakata ramen and Nakasu walk
Day 2: Dazaifu and food stalls
Day 3: Market breakfast and departure
Alternative: Save about ¥8,000 by choosing a business hotel