Kabra is a very good friend of JP. So JP has assigned him a task. Given an array, two operations can be performed on it. They are
1) L X : Rotate the array towards left by X.
2) R X : Rotate the array towards right by X.
Now you will be given 2 arrays containing N unique elements. The first one is the inital array(A) and the second one is target array(T).
Also you will be given a list of M operations having ids from 1 to M to be serially performed on it. If after performing any operation the array becomes same as the target array print the id of the operation. If it is not possible print "-1"(without quotes).
First line will contain two space separated integers N and M.
Second line will contain N space separated integers Ai denoting the initial array.
Third line will contain N space separated integers Ti denoting the target array.
Next M lines contain the operations of type 1 or 2.
Print a single line containing the required answer.
1 <= N , M <= 105
1 <= Ai , Ti <= 109
1 <= X <= 1000
Note: It is guaranteed that the initial and target arrays are different.
Note: Target array will always be a rotated version of the initial array
The initial array is 2 1 3 4. Target array is 3 4 2 1.
After the first operation the array becomes 4 2 1 3.
After the second operation it becomes 1 3 4 2.
After the third operation it becomes 3 4 2 1. At this moment the array is equal to the target array hence the answer is 3.