Nimble is a game played on a 1×N rectangle. The rectangle is divided into 1×1 squares. The leftmost square is number 0, the square to its right is number 1, and so on until the rightmost square, number N−1. Coins sit on the squares, and one square can hold two or more coins.
Two players take turns. On a turn a player picks one coin and moves it left by at least one square. A coin cannot move past square 0.
The game ends once every coin is on square 0, and the player who moves the last coin onto square 0 wins.
koosaga and cubelover play Nimble. koosaga moves first. Print the player who wins when both play optimally.
Input
The first line contains the number of coins M (1≤M≤100).
The second line contains the numbers of the squares holding the coins, P1,P2,…,PM, separated by spaces (1≤Pi≤109).
The rectangle is always 1×1010.
Output
Print koosaga if koosaga wins, or cubelover if cubelover wins.