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In a kingdom far far away, the King decided that the time
has come to find a husband for his princess daughter. The
King wanted to find a worthy lad for his princess, so he
promised to give his daughter away to the first young (or
old) man who would solve the puzzle that has stumped the
best of his court mathematicians for years. The puzzle is
very simple: in a palace, there are 25 rooms arranged in a
square--5 rows of rooms with 5 rooms in each row. In every
room there is a light switch which not only switches on/off
the light in that room, but also switches the lights in the
adjacent rooms--the room to the right, to the left, the
room above and the room below. Initially, all of the
lights are turned off. The goal is to turn the lights on
in every room of the palace.
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Answer / sajjad
10110
11111
11111
01101
11111
0 - room to switch on the light.
Now where is the princess. :)
| Is This Answer Correct ? | 0 Yes | 1 No |
Answer / andy
01101
01110
00111
11011
11000
... and rotations of this.
The problem can be written as a system of 25 equations in 25
unknown over the field Z mod two, and then solved using
linear algebra (hopefully with the aid of a computer).
| Is This Answer Correct ? | 3 Yes | 5 No |
Answer / guest
just switch on the 5 lights in the rooms to the right
| Is This Answer Correct ? | 3 Yes | 5 No |
Answer / govind
SWitch ON light frm the 13 room, it will switches light frm
al other adjacen ROOMS .... Imagine it....
00000
00000
00000
00000
00000
0-> Indicates the ROOMS
go & switch on frm 3rd row n 3rd column light..
| Is This Answer Correct ? | 1 Yes | 3 No |
Answer / md
f6b2b
gfabc
7a1a3
geadc
e5d4d
1,2,3,4,5,6,7 indicate switch-rooms in order of switching
on their switches.
a corresponds to adjuscent rooms which lit due to step 1
b corresponds to adjuscent rooms which lit due to step 2
....
g corresponds to adjuscent rooms which lit due to step 7
| Is This Answer Correct ? | 4 Yes | 7 No |
Answer / manish verma
Only 1 light needs to be switched ON, & it will switch on
the rest of the lighhts.
| Is This Answer Correct ? | 2 Yes | 5 No |
Answer / pooja devraj
only 1 light need to switch on, gradually the remaining all
will become on.
1 0 0 0 0
0 0 0 0 0
0 0 0 0 0---->
0 0 0 0 0
0 0 0 0 0
1 1 0 0 0
1 0 0 0 0
0 0 0 0 0---->
0 0 0 0 0
0 0 0 0 0
1 1 1 0 0
1 1 0 0 0
1 0 0 0 0----> like this
0 0 0 0 0
0 0 0 0 0
this is the answer given by "ALPHY"
tz an excellent answer..
i agree....
bt litting frm room one takes a long tym to lite up all 25
rooms..
so to save time lets lit up the room at the center
y waste its advantage like it can lite its adjacent rooms..
quiet quick ryt.
SO.............
it can also be as...
0 0 0 0 0
0 0 0 0 0
0 0 1 0 0---->
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 1 0 0
0 1 1 1 0---->
0 0 1 0 0
0 0 0 0 0
0 0 1 0 0
0 1 1 1 0
1 1 1 1 1---->
0 1 1 1 0
0 0 1 0 0
0 1 1 1 0
1 1 1 1 1
1 1 1 1 1---->
1 1 1 1 1
0 1 1 1 0
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1---->
1 1 1 1 1
1 1 1 1 1
ryt?? :)
| Is This Answer Correct ? | 3 Yes | 6 No |
Answer / superman
U have to on 4 light only.
The room of which light need to on is indicated by 0,
11111
10101
11111
10101
11111
| Is This Answer Correct ? | 2 Yes | 13 No |
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