False coin |

In order to detect the false coin the bank employees numbered all coins by the
integers from 1 to *N*, thus assigning each coin a unique integer identifier.
After that they began to weight various groups of coins by placing equal
numbers of coins in the left pan and in the right pan. The identifiers of
coins and the results of the weightings were carefully recorded.

You are to write a program that will help the bank employees to determine the identifier of the false coin using the results of these weightings.

The first line of each dataset contains two integers *N* and *K*, separated
by spaces, where *N* is the number of coins (
)
and *K* is the
number of weightings fulfilled (
). The following 2*K* lines
describe all weightings. Two consecutive lines describe each weighting. The
first of them starts with a number *P*_{i} (
), representing the number
of coins placed in the left and in the right pans, followed by *P*_{i}
identifiers of coins placed in the left pan and *P*_{i} identifiers of coins
placed in the right pan. All numbers are separated by spaces.

The second line
contains one of the following characters: ``<`', ``>`', or ``=`'.
It represents the result of the weighting:

- `
`<`' means that the weight of coins in the left pan is less than the weight of coins in the right pan, - `
`>`' means that the weight of coins in the left pan is greater than the weight of coins in the right pan, - `
`=`' means that the weight of coins in the left pan is equal to the weight of coins in the right pan.

1 5 3 2 1 2 3 4 < 1 1 4 = 1 2 5 =

3