Problem: 

Input

The first line of the input contains a single integer N (1 ≤ N ≤ 24). The next N lines contain 5 space-separated integers each. The first three integers will be between 0 and 2, inclusive. The last two integers will be between 0 and 3, inclusive. The sum of the first three integers will be equal to the sum of the last two integers.

Output

Output the result – a string of lowercase English letters.

Examples

Input


1
1 0 0 1 0


Output


a


Input


10
2 0 0 1 1
1 1 1 2 1
2 1 0 1 2
1 1 0 1 1
2 1 0 2 1
1 1 1 2 1
1 2 1 3 1
2 0 0 1 1
1 1 0 1 1
1 1 2 2 2


Output


codeforcez

Solution (in PYTHON3):

Solution:
for s in[*open(0)][1:]:print(chr(97+[10010,11020,20011,21012,11011,21021,22022,12021,00000,12012,10120,11130,20121,21122,11121,21131,22132,12131,11111,12122,10221,11231,12113,20222,21223,11222].index(int(s.replace(' ','')))),end='')