your magic dice to cheat.
The game is played on a board, made of $N$ cells arranged in a circle. The cells are numbered from $0$ to $N-1$, with cells $N-1$ and $0$ being adjacent.

Each cell has a tax value T ~i~ associated with it. Every time a player lands on a cell, he has to pay the tax value of that cell (the tax value can be negative, meaning that the player receives money).

Each cell has a tax value <tex> T_i </tex> associated with it. Every time a player lands on a cell, he has to pay the tax value of that cell (the tax value can be negative, meaning that the player receives money).

Carlo starts on cell $0$ and will play $K$ turns of monopoly. Each turn he rolls two $6$-sided dice and moves forward by the sum of the two values.
He then pays the tax value of the cell he lands on. If the two dice value are equal, after moving and paying, he {**must**} continue and roll the dice again.

h2. Date de intrare
The first line contains the integers $N$ and $K$.

The second line contains $N$ integers T ~i~.

The second line contains $N$ integers <tex> T_i </tex>.

h2. Date de ieşire

* 1 ≤ $N$ ≤ $1000$
* 1 ≤ $K$ ≤ $1000$

* -10^9^ ≤ T ~i~ ≤ 10^9^

* -10^9^ &le; <tex> T_i </tex> &le; 10^9^

* For the first subtask, $K = 1$.
* For the second subtask, (1 ≤ $N$ ≤ $100$), (1 ≤ $K$ ≤ $100$).