To solve the logic puzzle, let's fill out the table step by step using the given clues:

1. **The Wolf lives in the blue house.**
2. **Jim Pig has lavender in his garden.**
3. **The character with tulips in their garden lives in the green house.**
4. **Tim Pig does not live in the red house.**
5. **Kim Pig does not have roses or sunflowers in her garden.**
6. **The character in the yellow house has sunflowers in their garden.**

Let's start filling out the table:

1. The Wolf lives in the blue house.

2. Jim Pig has lavender in his garden.

3. The character with tulips in their garden lives in the green house.

4. Tim Pig does not live in the red house.

5. Kim Pig does not have roses or sunflowers in her garden.

6. The character in the yellow house has sunflowers in their garden.

We'll use these facts to deduce the rest.

### House Color Assignment:
- Blue House: Wolf (Clue 1)
- Yellow House: Character with sunflowers (Clue 6)
- Green House: Character with tulips (Clue 3)
- Red House: This must be the remaining one, since Tim Pig does not live here (Clue 4)

### Flower Assignment:
- Lavender: Jim Pig (Clue 2)
- Tulips: Green house (Clue 3)
- Sunflowers: Yellow house (Clue 6)

### Deduction Steps:
1. The Wolf is in the blue house.
2. The yellow house has sunflowers.
3. The green house has tulips.
4. Jim Pig has lavender.
5. Tim Pig does not live in the red house, so he must live in the green or yellow house.
6. Kim Pig does not have roses or sunflowers, so she must have tulips or lavender.

Since Jim Pig has lavender, Kim Pig must have tulips and thus lives in the green house. This leaves Tim Pig in the yellow house with sunflowers. The red house, therefore, belongs to the remaining character, who is Jim Pig, and must have roses.

### Final Assignments:
- **Blue House: Wolf**
- **Green House: Kim Pig (Tulips)**
- **Yellow House: Tim Pig (Sunflowers)**
- **Red House: Jim Pig (Lavender)**

### Summary:
- **Wolf**: Blue House, (?)
- **Kim Pig**: Green House, Tulips
- **Tim Pig**: Yellow House, Sunflowers
- **Jim Pig**: Red House, Lavender

Since the only flower not yet assigned is roses, the Wolf must have roses.

### Conclusion:
- **Wolf**: Blue House, Roses
- **Kim Pig**: Green House, Tulips
- **Tim Pig**: Yellow House, Sunflowers
- **Jim Pig**: Red House, Lavender

These are the detailed assignments for the logic puzzle.