The Hidden Delivery Route

A delivery driver for "Swift & Sure Logistics" must follow a specific, hidden route to deliver packages. The route is a sequence of stops through a small town. The driver must start at the Warehouse and end at the Post Office, visiting every other location exactly once along the way.

The town has the following nine locations:

• Warehouse (Start)
• House A
• House B
• House C
• House D
• Bakery
• Post Office (End)
• Park
• Cafe

The driver has forgotten the exact order of the stops, but they remember these seven clues:

1. The Bakery is the third stop on the route.
2. The Park is never visited.
3. The delivery to House A happens immediately before the delivery to the Cafe.
4. House B and House C are not visited one after the other.
5. The Bakery is visited immediately after the delivery to House D.
6. The Cafe is not the second-to-last stop.
7. The route must start at the Warehouse and end at the Post Office.

Can you determine the correct order of the delivery route?

Let's Solve It Together

Here is a step-by-step breakdown of the logic to uncover the hidden route.

Step 1: Set up the framework

First, let's create a sequence of seven empty slots, representing the seven stops between the start and the end.

• Stop 1: (Must be the Warehouse)
• Stop 2:
• Stop 3:
• Stop 4:
• Stop 5:
• Stop 6:
• Stop 7: (Must be the Post Office)

Step 2: Place the most definite clues

We can immediately fill in the start and end points based on Clue 7.

• Stop 1: Warehouse
• Stop 2:
• Stop 3:
• Stop 4:
• Stop 5:
• Stop 6:
• Stop 7: Post Office

Next, Clue 1 tells us the Bakery is the third stop.

• Stop 1: Warehouse
• Stop 2:
• Stop 3: Bakery
• Stop 4:
• Stop 5:
• Stop 6:
• Stop 7: Post Office

Step 3: Use the sequential clues

Clue 5 states that the Bakery is visited immediately after House D. This means the sequence is [House D, Bakery]. Since we know the Bakery is at Stop 3, House D must be at Stop 2.

• Stop 1: Warehouse
• Stop 2: House D
• Stop 3: Bakery
• Stop 4:
• Stop 5:
• Stop 6:
• Stop 7: Post Office

Now let's look at Clue 3: The delivery to House A happens immediately before the delivery to the Cafe. This gives us the block [House A, Cafe]. This block of two stops must fit into the remaining empty slots (4, 5, and 6). The only way to fit a two-stop block into three consecutive slots is for it to occupy the first two of them.

• Stop 4: House A
• Stop 5: Cafe

Step 4: Use the process of elimination

Let's look at our current route:

• Stop 1: Warehouse
• Stop 2: House D
• Stop 3: Bakery
• Stop 4: House A
• Stop 5: Cafe
• Stop 6:
• Stop 7: Post Office

The locations we have used so far are: Warehouse, House D, Bakery, House A, Cafe, and Post Office. The only remaining location from our original list that hasn't been placed is House C. Therefore, House C must be the sixth stop.

• Stop 1: Warehouse
• Stop 2: House D
• Stop 3: Bakery
• Stop 4: House A
• Stop 5: Cafe
• Stop 6: House C
• Stop 7: Post Office

Step 5: Verify the solution with the remaining clues

Let's check our proposed route against the clues we haven't used yet.

• Clue 2: The Park is never visited.
  • Our route is: Warehouse, House D, Bakery, House A, Cafe, House C, Post Office. The Park is not on this list. (Checks out)
• Clue 4: House B and House C are not visited one after the other.
  • House C is at Stop 6. The stop before it is Cafe (Stop 5). House B is not on the route at all, so this condition is met. (Checks out)
• Clue 6: The Cafe is not the second-to-last stop.
  • The second-to-last stop is Stop 6, which is House C. The Cafe is at Stop 5. (Checks out)

All clues are satisfied.

The Solution

The hidden delivery route is:

Warehouse → 2. House D → 3. Bakery → 4. House A → 5. Cafe → 6. House C → 7. Post Office