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The cache is not at the listed coordinates although it is within a few miles. Find the coorect coordinates from the puzzle below. (Note: the puzzle is an old chestnut. However, I have recast it completely to slow down the googlers. There are enough clues for someone who has seen the puzzle before to remember how to find it.)
The Saylor family consists of Mr. and Mrs. Saylor, their five children--Abigail, Bernard, Cynthia, Donald, and Eugenie--and their pet chimpanzee, Fifi.
One Halloween, Mr. and Mrs. Saylor took the five children out trick-or-treating. They stayed out late (for children, that is) and managed to get a huge haul. Because it was a school night, the parents made the kids go to bed as soon as they got home and had a hot cup of cocoa. They would hold the candy and divide it up the next day.
Of course, anyone could predict approximately what happened next.
Abigail woke up about an hour later, thinking about the pile of candy downstairs. Not trusting her siblings--with good reason, as we shall see--she decided not to wait and to take her portion immediately. Therefore, she crept downstairs and, with what passes for honor among school children, divided the candy up into five equal portions. There was exactly one piece of candy left over, which she gave to Fifi. She then hid her portion of the stash and put the other four portions back into the trick-or-treat bags.
A little later, Bernard also woke up thinking about the candy. Proving himself to be his sister's brother, he also went downstairs and divided the remaining candy into five equal portions. Again there was exactly one piece of candy left over, which he gave to Fifi. He then hid his portion and put the other four back into the bags.
Throughout the rest of the night, Cynthia, Donald, and Eugenie each in turn woke up and snuck downstairs to take their portion of the candy "first." Each divided the pile they saw into five equal portions. Each time exactly one piece of candy was left over. Each time the child gave the leftover piece of candy to Fifi. Each time the children then hid their individual portion and put the remaining four portions back into the bags.
The next day, the family gathered round to divide up the candy equally among the five children. If anyone noticed the diminished pile, he/she didn't say anything, and of course Fifi wasn't talking. The parents divided the candy up into five equal piles. Exactly one piece was left over, which everyone agreed should be given to Fifi. Then the children put their portions into their rooms and went off to school.
The puzzle question: How many pieces of candy did the children have originally?
Okay...This is not a trick puzzle. In order to make the problem clearer: you are looking for the smallest positive integer that satisfies the conditions. There are six divisions: One for each of the children and one at the end. Each time exactly one piece of candy is left over.
The cache is at N 37:33.ABC, W 122:17.DEF.
A = the absolute value of the difference between the first and last digits in the solution.
B = the number of digits in the solution plus 1.
C = the third digit in the solution.
D = the sum of the first two digits in the solution.
E = the sum of the last three digits in the solution.
F = the last digit in the sum of the digits of Abigail's portion (from the very first division)
If you get a two-digit number, keep adding the digits until you get a single digit.
Again, this is not a trick puzzle. To make the coordinate directions clearer, assume that the answer is 7654321 (it is not). Then the coordinates would be 37:33.685; 122:17.467. (These are not the coordinates; I don't know what is at that spot.)
The FTF prize is a Susan B. Anthony dollar. I do ask that it go to someone who actually solves the problem. (I don't care whether you solve it by Diophantine analysis, by calculator trial-and-error work, or by programming a spreadsheet.) If you simply googled the answer, please leave it for the next person.
Additional Hints
(Decrypt)
Zbfg jvyy ernpu hc. Zntargvp. Orgjrra gur cbyr naq gur punva yvax. Vtaber gur irtrgngvba.
[checksum] Svsgl-Fvk