For the final coordinates solve the following logic problem and equation at the bottom.

Logic Problem

In the early 21st century, in the town of LeClaire Iowa, a group of Geocachers known as the six Golden Cachers came under the suspicion of evil doings when a cache appeared at the statue of the town's founding father, Col Davenport. The cache appeared some time during the night of January 25, 2020. The cache was a Mystery Cache, and very evil in nature. In the weeks that followed, five other caches appeared that made the townsfolk suspicious that some evil cachers are up to no good. Each cache, including the Mystery cache, was attributed to a different cacher, each of whom was said to have used one of six different ToTT's to place their cache. See if you can determine the order in which the six cachers were said to have placed their cache, the type of cache each was thought to have placed, and the ToTT that the cacher was accused of using (one cacher was said to have used a flashlight).

1. The first three caches were, in some order: the cache placed by BT, the placement of a Multi cache, and the cache placement that utilized a Extraction Tool.

2. The cache that was a Virtual Cache wasn’t placed by HP.

3. DTC's cache was sometime placed before DK's cache.

4. HP's cache wasn't placed just after the Multi cache.

5. The GPS was used for the fourth or sixth cache placement.

6. The placement of the cache by MH occurred sometime after the Traditional Cache placement, and sometime before the cache said to have been placed with the aid of a Walking Stick.

7. CF's cache was either the second or fourth cache placed after the one that used the Extraction tool.

8. MH and the cacher who was said to have placed a cache using Gloves are, in some order, the cacher whose cache is the Earth Cache and the cacher who placed their cache just after the cacher who used a Compass.

9. Either the second or third cache said to be a placed was a Letter Box Cache.

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