Day 15: Perfect Timing

Previously

After the explosion, you were transported to the Forgotten Dreamscape by the Guardian of the Veil of Wonder. Anticipating the arrival of the evil force, the Guardian split the Veil of Wonder into six fragments and scattered them across the six islands of the Dreamscape. Now, your mission is to collect each fragment and restore the Veil on the main island. With the Guardian too weak to continue, the journey to save Christmas rests entirely in your hands.

Narrative

As you stand at the edge of the Forgotten Dreamscape, the Guardian of the Veil of Wonder reappears, her form flickering. Her voice is soft but urgent.

"Time doesn’t flow the same way on each island. It bends and shifts — some islands will slow you down, others will speed time up. To retrieve the fragments of the Veil, you'll need to carefully calculate your journey." She gestures to the islands, each pulsing with its own strange rhythm. "Misjudge the timing, and you may arrive too late."

You study the islands — some shimmer with vibrant energy, others seem slow and distant. The path to the main island is far from simple.

"While you make your way through the islands, I will rest," the Guardian continues. "If your timing is correct, I will meet you at the main island to help restore the Veil. But remember, if you miscalculate, you could lose precious time."

She waits, her eyes on you, as the weight of the task settles in. You must calculate the timings perfectly.

Objective

Carefully calculate the time it will take to travel through all six islands and meet the Guardian at the main island to restore the Veil of Wonder.

Challenge

The Forgotten Dreamscape is made up of six islands surrounding the main island at the center. To collect the fragments of the Veil of Wonder, you must travel from your starting island, pass through the main island, and continue to the six surrounding islands. Time flows differently on each island, and the cloud bridges between islands take no time to travel.

Below are the estimated times you will spend on each island, along with the time dilation factor for each island. Your task is to calculate how long it will take to complete the journey and meet the Guardian at the main island.

Island Estimated Local Duration Time Dilation Factor
1 30 minutes x2 (time moves twice as fast)
2 50 minutes x0.5 (time moves half as fast)
3 5 minutes x1 (normal time)
4 25 minutes x3 (time moves three times as fast)
5 40 minutes x0.25 (time moves very slowly)
6 12 minutes x1.5 (time moves faster than normal)
Main Island 10 minutes to reactivate bridges,
10 minutes for each displacement between bridges
x1 (normal time)

Notice that:

  • You start at Island 3.
  • When reaching the main island to travel to another island, you must account 10 minutes for each displacement between bridges.
  • The answer is the total number of minutes.
Hint 1 For each island, you need to multiply the time dilation factor for the time spent there.
Hint 2 Each time you go to the main island to get to another island, you need to sum 10 minutes to account for internal displacement.

Answer

Wrong answer!

Outcome

After presenting your calculations, the Guardian smiles faintly. "Your plan is sound," she says, "but there's something you didn’t realize. The fragment from this island is already with you — I gave it to you when I brought you here."

A soft glow within you confirms it. You’ve already taken the first step.

"Now, go to the Main Island to restore the missing bridges. Only then can you reach the other islands and gather the remaining fragments. Time is short."

With the first fragment in hand, you prepare to journey to the Main Island and continue your quest.