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Hello traveler! What an exciting adventure you have ahead of you! Starting in Missoula, Montana, you'll be embarking on a journey that will take you through some of the most stunning national parks in North America. Let's plan out your 5-day itinerary with visits to Glacier, Banff, and Yellowstone National Parks before ending in Billings, Montana.

Day 1: Missoula to Glacier National Park

• Start your day early in Missoula and hit the road towards Glacier National Park.
• Enjoy the scenic drive through the mountains and forests of Montana.
• Once you arrive at Glacier, spend the afternoon exploring the iconic Going-to-the-Sun Road and take in the breathtaking views.
• Check into your accommodation near the park and relax after a long day of travel.

Day 2: Glacier National Park to Banff National Park

• Wake up early to catch the sunrise over Glacier National Park.
• After breakfast, begin your journey towards Banff National Park in Canada.
• Cross the border and enjoy the changing landscapes as you make your way to Banff.
• Arrive in Banff in the evening and settle into your accommodation in the charming town of Banff.

Day 3: Banff National Park

• Spend the day exploring the beauty of Banff National Park.
• Visit iconic spots like Lake Louise, Moraine Lake, and Johnston Canyon.
• Take a hike or enjoy a scenic drive through the park to fully immerse yourself in the stunning natural surroundings.
• In the evening, relax in Banff town and enjoy a delicious meal at one of the local restaurants.

Day 4: Banff National Park to Yellowstone National Park

• Today, you'll be heading south towards Yellowstone National Park.
• Enjoy the drive through the picturesque landscapes of Alberta and Montana.
• Arrive at Yellowstone in the afternoon and start exploring the geothermal wonders of the park, including Old Faithful and the Grand Prismatic Spring.
• Check into your accommodation near the park and unwind after a day of adventure.

Day 5: Yellowstone National Park to Billings

• On your final day, take in the last sights of Yellowstone National Park.
• Visit the Yellowstone Grand Canyon, Mammoth Hot Springs, and wildlife-rich Lamar Valley.
• As you make your way towards Billings, stop at scenic viewpoints and enjoy the beauty of Montana.
• Arrive in Billings in the evening, reflecting on the incredible journey you've had through three amazing national parks.

I hope this itinerary gives you a good balance of exploration and relaxation as you travel from Missoula to Billings, passing through some of the most stunning natural landscapes in North America. Safe travels and enjoy your adventure!