@ Pradeep
Steps to solve finding Nemo puzzle
For the first time I listed a sequence of correct guesses by providing all possible combinations and I got
the below sequence
1353273474....
And I tabulating arrangement of fishes with respect to the above sequence as below
N
G
B
ST
F
P
S
ST
N
P
G
B
ST
F
P
S
N
G
S
ST
N
P
G
B
S
N
G
B
ST
F
P
G
B
F
S
ST
P
S
N
G
B
ST
F
S
ST
N
P
G
 N- Nemo , S-Stinger , ST-SharkTooth ,G-Gill , B-Bubbles , P-Phamplet , F-Flow
S
F
B
F
P
N
F
B
From the above table I observed that there are only two arrangement of fishes exist for that particular
sequence (connected circular) and for alternate guesses the arrangement are same
From the above table the fishes are arranged in same sequence for row 1,3,5,7 and the arrangement is
like follows
N,G,B,ST,F,P,S
And the fishes in row 2,4,6,8 are in the following sequence
S,ST,N,P,G,B,F
So I re arranged the sequence of correct guesses with respect to the above arrangements as follows in
order to find some logic behind it but no luck 
Arrangement 1:
1,5,2,3,7
Arrangement2:
3,3,7,4,4
So I moved forward to generate another sequence of correct guesses by increasing the minimum
number of guesses and I got the same sequence for number of guess value 11 but I found different
sequence for value 12 and the sequence is
4,3,5,7,2,7,6,4,7,1
After tabulating the sequence as above I observed that the same arrangements of fishes in this
sequence also and I split the sequence according to the arrangements and it looks as follows
Arrangement 1:
4,5,2,6,7
Arrangement2:
3,7,7,4,1
And when I tried to generate one more correct guess sequence I observed that no more possible
sequence exists, so I extended the above sequences up to 16 correct guesses and noted according to the
possible arrangement that looks as follows
Sequence 1:
1,3,5,3,2,7,3,4,7,4,4,1,5,5,2,5 and the arrangement is as follows
Arrangement 1:
1,5,2,3,7,4,5,2
Arrangement2:
3,3,7,4,4,1,5,5
Sequence 2:
4,3,5,7,2,7,6,4,7,1,4,1,1,5,2,2 and the arrangement is as follows
Arrangement1:
4,5,2,6,7,4,1,2
Arrangement2:
3,7,7,4,1,1,5,2
Steps to generate an infinite sequence:
After observing the above two sequences and arrangements I found the following things
second correct guess will always be 3
In Arrangement 1:


values at positions 1,4,7,10 and so on are incremented by value 2
Values at position {2,3},{5,6},{8,9}, and so on are remains same in both sequences and the
values in the set increases by value 2 when they move from one set to other
a. for set {2,3} the values are {5,2}
b. for set {5,6} the values are {7,4}
c. for set {8,9} the values are {2,6}( 7+2=9 but as the max value of guess is 7 we have to
start again from 1 after crossing 7)
In arrangement 2:


After every set of two numbers the value increment by 1
And the set of numbers also increment by one
How to choose the correct sequence:
According to above work I observed that
If the sum of minimum attempts value is not a multiple of 3 then the answer is sequence 1 and if the
sum of minimum attempts value is multiple of 3 then the answer is sequence 2.