Sums

Memory limit: 32 MB

We are given a set of positive integers . Consider a set of non-negative integers , such that a number belongs to if and only if is a sum of some elements from (the elements may be repeated). For example, if , then sample numbers belonging to the set are: 0 (the sum of 0 elements), 2, 4 and 12 or or ; and the following do not belong to : 1 and 3.

Task

Write a program which:

• reads from the standard input the description of the set and the sequence of numbers ,
• for each number determines whether it belongs to the set ,
• writes the result to the standard output.

Input

In the first line there is one integer : the number of elements of the set , . The following lines contain the elements of the set , one per line. In the -st line there is one positive integer , . , .

In the -nd line there is one integer , . Each of the following lines contains one integer in the range from to , they are respectively the numbers .

Output

The output should consist of lines. The -th line should contain the word TAK ("yes" in Polish), if belongs to , and it should contain the word NIE ("no") otherwise.

Example

For the input data:

3
2
5
7
6
0
1
4
12
3
2

the correct result is:

TAK
NIE
TAK
TAK
NIE
TAK

Task author: Krzysztof Onak.