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Logic puzzles require you to think. You will have to be logical in your reasoning.


Puzzle ID:#18358
Fun:*** (2.4)
Difficulty:*** (2.81)
Submitted By:jmcleod****
Corrected By:calmsavior




A road leading to a secret military base is 20 feet wide. Private Roberts was ordered to plant 20 land mines on the road in a 20-foot by 20-foot area. He laid out the area in a grid, with 100 2-foot squares arranged in 10 columns (running parallel with the road) and 10 rows (running perpendicular with the road). He planted each land mine within a square on the grid so that there were exactly two mines in each row and two in each column. When he was finished, he found himself on the wrong side of the minefield, and he couldn't get back to the base without crossing the minefield.

He labeled the columns A-J from left to right, and numbered the rows 1-10 starting with the row closest to the base.

-- A B C D E F G H I J
01X X X X X X X X X X
02X X X X X X X X X X
03X X X X X X X X X X
04X X X X X X X X X X
05X X X X X X X X X X
06X X X X X X X X X X
07X X X X X X X X X X
08X X X X X X X X X X
09X X X X X X X X X X
10X X X X X X X X X X

He could remember the following facts about where the mines were planted:

1. There was no mine in any of the four corners.
2. Row 10 was the only row where the two mines were next to each other.
3. The two mines in column C were in the same rows as the two mines in column H.
4. One of the mines in column B was in row 7.
5. In row 9, there were 3 empty squares between the two mines.
6. Both mines in column E were in row 5 or higher.
7. One of the mines in column I was in row 9 or 10.
8. Both mines in column H were in odd number rows.
9. The two mines in column D were in the same rows as the two mines in column J.
10. One of the mines in column A was in row 5.

Can you find a safe path to the other side of the mine field moving one square at a time (either horizontally, vertically, or diagonally), starting in row 10 and moving through row one?

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Jul 26, 2004

Wow. This one was good!!!
Jul 27, 2004

A good teaser, I enjoyed working it out. I used column H for the path back. I started there because half the rows were already deemed safe. Your solution almost shows this path: only H1 and H3 are not safe, from the information provided. These must be mines. From clue 2, G1, I1, G3 and I3 must be safe, so take the route H10 up to H4, move diagonally to either G3 or I3, diagonally to H2, then diagonally to either G1 or I1. One step shorter than the path you gave as the answer.
Jan 20, 2005

I would have liked the puzzle to say that I diagonal moves were permitted. I assumed they were not until I came to this point and could go no further:
(* are mines, X are safe,? is 50% chance of mine)

A fun teaser to work out!
Jan 20, 2005

sorry about the formatting above.
Mar 19, 2005

Got me there
Apr 25, 2005

wow, that was hard, i got about half way and gave up
but it was fun
Oct 21, 2009

That was much easier than I expected.

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