Ada the Ladybug is playing a games against her good friend Velvet Mite Vinit. They are playing a game which they call Fimber: There will be a few piles of seeds. In each move, the one who is in move can choose a pile and take K seeds from it, where K is equal to some Fibonacci number. They alternate in their turns. The one who can't move will lose.

Fibonacci number will be defined as F₀=1, F₁=1, F_N=F_N-1+F_N-2

As ladies go first Ada starts. Can you determine who will if both will play optimally?

Input

The first line of each test-case will contain an integer 1 ≤ N ≤ 10⁵, the number of piles.

The next line will contain N integers 0 ≤ A_i ≤ 3*10⁶, the number of seeds in each pile.

Output

For each test-case, print the name of winner (so either "Ada" or "Vinit").

Example Input

6
3 3 1 8 3 4

Example Output

Ada

Example Input

1
10

Example Output

Vinit

Example Input

4
3 9 5 2

Example Output

Ada

Example Input

5
10 10 6 8 10

Example Output

Ada

Example Input

1
4

Example Output

Vinit

Example Input

4
6 1 7 3

Example Output

Ada

Example Input

5
7 10 9 3 10

Example Output

Ada

Example Input

6
4 6 10 9 3 8

Example Output

Vinit