Let's play a game
Time Limit: 1 Second Memory Limit: 32768 KB
Elves from the Lothvain forest have created a very interesting game. The rules are very simple:
- There are two players.
- In the beginning there are n groups of stones. The i-th group contains a_i stones.
- A player has to take a positive number of stones from exactly one of the groups in his turn.
- A player who can't make a move (each group is empty) wins.
Very soon they have learnt how to always make the best possible move. Your task is to write a program that computes which of the players has a winning strategy for a given situation.
Input
The first number appearing in the input is number of datasets t (5<=t<=50). Each dataset is given in following format. The first row contains a single number n (1<=n<=10000). The next row contains exactly n numbers: a_1, a_2,..., a_n (0<=a_i<=1000000000). There are no empty lines between the datasets. You may assume that at least one group of stones is not empty.
Output
For each of datasets your program should write:
- 1 if the first player has a winning strategy
- 2 otherwise
in a separate row.
Sample Input
2 3 1 1 1 5 1 0 1 1 1
Sample Output
2 1Submit
Source: 3MG_Contest