#D547. Encoded message

    ID: 451 Type: Default 1000ms 256MiB

Encoded message

Encoded message

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

inputFormat

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.

outputFormat

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

样例

1
1 0 0 1 0

a

</p>