E. Array Gametime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputAlice and Bob are playing a game. They are given an array A of length N. The array consists of integers. They are building a sequence together. In the beginning, the sequence is empty. In one turn a player can remove a number from the left or right side of the array and append it to the sequence. The rule is that the sequence they are building must be strictly increasing. The winner is the player that makes the last move. Alice is playing first. Given the starting array, under the assumption that they both play optimally, who wins the game?InputThe first line contains one integer N (1 \leq N \leq 2*10^5) - the length of the array A.The second line contains N integers A_1, A_2,...,A_N (0 \leq A_i \leq 10^9)OutputThe first and only line of output consists of one string, the name of the winner. If Alice won, print "Alice", otherwise, print "Bob".ExamplesInput
1
5
Output
Alice
Input
3
5 4 5
Output
Alice
Input
6
5 8 2 1 10 9
Output
Bob

1
5

Alice 
['games', 'greedy', 'two pointers', '*1900']