The following is a statement of a programming problem i encountered
I don't know how to solve it.
Any ideas??

The owner of shop Jell Bells has order a large consignment of jell

balls which is about to arrive. He has
hired you as an assistant to help him sort the balls and put them in

their respective containers at the shop (pretty
simple ? HuH!!).

Now the Job Profile Is:-
The balls are of different colors (say n), though many of the colors

are repeated. Whenever the balls are removed
from the consignment, they have to be kept in some temporary sack
(say

a stack) with each ball on top of other in
no particular order. Each sack is of infinite capacity and you can
use

as many sacks as u like. When all the balls are
removed from the consignment, they are then to be put in their

respective colored containers at the store. Here
comes the tricky thing, any colored container can be given to you by

the owner to be filled. All the balls of that
particular color have to be put in container at once. It may be

possible that that particular colored ball is at the
bottom of the sack, then you have to first move all the balls above
it

in some other sack. The owner wants that the
number of temporary sacks multiplied by the number of moves is

minimum. (How moves are counted  when a ird
move) and so on, then finally to the container (last move) for that

particular ball). Once the things are sorted, you
get your pay (and some jell balls too. Yummy!!)

INPUT
The first line of input contains an integer X, specifying the number

of test cases. Second line contains number of
containers N, and the number of balls M. the third line is the

sequence in which the balls are removed from the
consignment. Fourth is the order in which the owner of shop gives you

the containers to be filled.


OUTPUT
The first line of output will be the number of moves P, and the
number

of sacks used Q.
>From second line onwards you have to specify each and every move as

described in the example below.

EXAMPLE

Say the N colors are represented by numbers 1 to n, the temporary

sacks as temp1,

Sample input
1
3 6
3 3 2 2 1 1
1 2 3

Sample output
12 1
Move 1 :: put ball 3 in temp1
Move 2 :: put ball 3 in temp1
Move 3 :: put ball 2 in temp1
Move 4 :: put ball 2 in temp1
Move 5 :: put ball 1 in temp1
Move 6 :: put ball 1 in temp1
Move 7 :: put ball 1 in cont1
Move 8 :: put ball 1 in cont1
Move 9 :: put ball 2 in cont2
Move 10 :: put ball 2 in cont2
Move 11 :: put ball 3 in cont3
Move 12 :: put ball 3 in cont3
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