Solution

### 1. Cracking the Base Code Starting at the map symbol matching the task title, you discover three interconnected notes. They display digital timestamps, which are navigation coordinates mapping out a trail: * **Hour (HH):** Indicates the direction on a standard 12-hour analog clock face (where 12:00 points due North). * **Minutes (MM):** Indicates the baseline distance to travel in meters. *Example:* A timestamp of `04:02` tells you to head toward the 4 o'clock position for a distance of 2 meters. ### 2. The First Twist (The Tree) Following this initial chain leads you 56 meters East, where you encounter a fourth note displaying `14:07`. Adjusting for a standard 12-hour clock, 14:00 translates to the 2 o'clock direction (14 mod 12 = 2). However, looking 7 meters away in that direction reveals absolutely nothing. If you continue in the same direction you eventually find the next note in a tree (as indicated by the previous note). The next note turns out to be roughly 84 meters away. **The Breakthrough:** You realize that because the hour hand passed 12, the base distance is multiplied by 12: > **7 meters * 12 = 84 meters** ### 3. Into Hall D and the Ponds The note found in the tree reads `23:07`. Applying your new rule: * **Direction:** 11 o'clock (23 - 12 = 11) * **Distance:** 84 meters (7 * 12), which guides you to the edge of **Hall D**. There is a new note at that position following the same pattern which brings you to the edge of one of the ponds. There, you spot a note reading `29:01`. The hour hand has now wrapped past 12 for a second time. * **Direction:** 5 o'clock (29 mod 12 = 5) * **Distance:** Does a second wrap mean an additive scaling (+12m for 24 meters) or an exponential scaling (* 12 again for 144 meters)? Searching the 5 o'clock vector yields nothing at the 24-meter mark. You keep walking and find the next note exactly **144 meters** away, proving the distance multiplier compounds exponentially with each 12-hour cycle: > **1 meter * 12 * 12 = 144 meters** ### 4. The Final Leap The note waiting for you at the 144-meter mark reads `51:13`. With the understanding we now have of the system, you can run the final calculation: * **Direction:** 3 o'clock, meaning due East (51 mod 12 = 3) * **Distance:** The hour hand has wrapped past the 12-hour threshold a total of 4 times. Using the compounding multiplier formula: > **Distance = MM * 12^(number of 12-hour wraps)** > **13 * 12^4 = 13 * 20,736 = 269,568 meters** Traveling **269 km due East** takes you to the island of GOTLAND.