The king of Glanebridge had 9 beautiful daughters. However
beautiful they were, they could not find a man. But the king had
more problems than that: the prison was more than full. But on
April 7, 1990, the day that a rare meteorite struck one of the
houses in his kingdom*, he was struck by a smart idea: "let's
combine these two problems that I have!". So he put all 24
prisoners in the central court of the prison, and in each cell he
put either one of his daughters or a hungry tiger. Each prisoner
could choose a cell: was it a tiger, that meant the end of the
prisoner; was it the daughter, then he was allowed to marry the
daughter and life long and happy ever after.
It was no blind choice, however, so that the smartest prisoners
would marry his daughters. Each door contained a hint: if there was
a tiger in the cell, the hint on that cell door was not true; if
there was a daughter in the cell, then the hint was certainly true.
A group of 4 cells is called a block, and the group of 6 cells with
the same number is called a ring. A neighbour is only counted
within a block, so the neighbours of A2 are A1 and A3, and B1 has
only one neighbour: B2.
This is the layout plan:
And these are the hints on the doors:
- A1: The neighbour is not a tiger
- A2: None of the neighbours is a tiger
- A3: In this cell is a daughter
- A4: Cell C1 has a daughter
- B1: This ring has at least three daughters
- B2: The only daughter in this block has an even cell
number
- B3: The neighbours are tigers
- B4: Better choose F2 to avoid the tiger
- C1: This ring has at least one daughter
- C2: There are only tigers in this block
- C3: At least one of the following statements is true: 1) there
are no tigers in ring 3; 2) there are only tigers in ring 2
- C4: This one makes no difference with C1
- D1: This cell hosts a tiger and the E2 hosts a tiger too
- D2: This block has exactly two tigers
- D3: The two daughters in this block are neighbours
- D4: The neighbour is a tiger
- E1: At least one tiger in this block has an even cell
number
- E2: All daughters in this block have even cell numbers
- E3: This ring has at least one daughter
- E4: Meet your future wife!
- F1: It's a gamble: this cell or cell D2 has a daughter to
marry!
- F2: This is the only tiger in this block
- F3: The neighbours are both tigers
- F4: This ring has the lowest number of tigers
You are the first prisoner to solve the puzzle. Do so and you
are allowed to marry the king's daughter and find the dowry at N 52
13.ABC, E 6 57.DEF
There is no need to climb over barbed wire, and do not scare the
nearby prison animals by you searching around. It is not allowed to
drive your car on the dirt road, if you're not visiting the houses
along the road, so better keep it on the asphalt. Biking and
walking is no problem.
*) The original name of the kingdom was 'Glanerbrug', but on
international CNN TV it was pronounced as 'Glanebridge', and under
that name it became a world renowned kingdom.
And the checksum is the fact that (ABC+DEF)%44=0
(hint). Idea and
concept borrowed from: the lady and tiger by
Raymond Smullyan, this particular puzzle and visualisation is
my own.