For the past few years, Farmer Tim has been planting the same nine vegetables in a three-plot-by-three-plot square garden. In preparation for this year’s planting, he went out to his tool shed to create a planting layout. Unfortunately, he discovered that the layouts for the last two years were missing!
After a long search, he was able to track down the empty seed packets from the two years in question. On the backs of some of the packets he had scrawled notes about where the crops were planted each year. It is vital that he reconstructs these layouts, because all crops must be rotated on a multi-year basis, so that the exact same crop does not occupy the same plot of land within several consecutive years. Can you help Farmer Tim reconstruct his missing planting layouts?
One note: The clues below use directions (north, south, east, west) and the words "right next to" to compare the locations of crop plots. In all cases, these clues mean that the specified crop plots are contiguous, in that they share a common border.
Seed packet notes from two summers ago
- The green peppers were just north of the yellow corn, and just west of the tomatoes.
- The red peppers were just north of the lettuce, and just west of the green beans.
- The lettuce was right next to the broccoli.
Seed packet notes from last summer
- The yellow beans were just north of the red peppers, and just east of the tomatoes.
- The green peppers were just south of the lettuce, and just west of the carrots.
- The green beans were just north of the yellow corn.