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We show all the winning solutions,
because mostly they are different.
After the Contest's finish we've got quite nonstandard solution to
this problem from Emilie Johannes. We think it is worth to be included
here along with other solutions. Therefore, we show it below as
Solution 7. 





Solution 1 by Jensen Lai 


put 7 pigs in each of 3
stalls and put all three stalls inside a fourth stall. 





Solution 2 by Nicole Takahashi 


I think that there are many
solns to this problem, but the common link between them all is that
one stall can contain another stall. For example if I have stalls A,
B, C and D set up as follows:
A: 5 pigs
B: 5 pigs
C: 5 pigs
Now there are 6 pigs remaining. That is not an odd number. But I can
put stall C and the 6 remaining pigs inside of stall D. Then I have...
C: 5 pigs (as before)
D: 11 pigs (C + 6 pigs) 





Solution 3 by Ben Liu 


The trick is to have the
stalls inside the stalls. the very inside stall has three the next
stall has 2 but since it conatains the smallest stall it adds up to
five. The next stall has 6 which eqaulls 11 and the next stall has 10
which eqauls 21. 





Solution 4 by Chase Brechlin 


You place three pigs in the
first stall, four pigs in the second stall (placed around the first
stall so there are actually 7 pigs in the second, five in the third
stall, and 9 in the fourth stall, for a total of 21 pigs in 4 stalls. 








Solution 5 by Nigel Wilson 


Stall 1 : 5 pigs
Stall 2 : 7 pigs
Stall 3 : 9 pigs
Stall 4 is a large stall containing all 3 (smaller) stalls
Therefore it contains 21 pigs.
I think the puzzle is supposed to state that each stall should also
contain a DIFFERENT number of pigs (?) 





Solution 6 by Alex Packard 


My solution is to put 7 pigs
in 3 different stalls
and then put one stall around the other 3 stalls.
The fourth stall actually holds 21 pigs. 





Solution 7 by Emilie Johannes 


Couldn't the puzzle of
fitting 21 "pigs" in 4 stalls with an odd number in each stall, be
solved in the following way?



Stall 1 
Stall 2 
Stall 3 
Stall 4 
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P
P

I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I 
G
G
G
G
G
G
G
G
G
G
G
G
G
G
G
G
G
G
G
G
G 
S
S
S
S
S
S
S
S
S
S
S
S
S
S
S
S
S
S
S
S
S 






Last Updated: September 30, 2007  Posted:
February 2, 2002 






