The new computers are here! However, we made a mistake during the order: we thought we were ordering machines with qubits; in fact, we ordered several hundred computers powered by cube-bits.</p>

The programs and data we had ready were prepared in base 10. To feed the data into the new computer, which uses a cubic system of counting, we will need to convert it to base 3 first.

Write a program to convert a stream of decimal numbers into ternary format, so they fit the new system’s input bus.

입력 형식

The input consists of:</p>

• One line with an integer n (1 ≤ n ≤ 10⁶), the size of the data stream.
• n lines with one decimal integer v_i (0 ≤ v < 3²⁰), the decimal representation of the i-th integer in the data stream.

Output n lines, giving the numbers converted to base-3, in the same order as given. In the interest of conserving disk space, do not print leading zeroes.

예제 입력 1

4
12
14
13
15

예제 출력 1

110
112
111
120

예제 입력 2

2
2147483648
3486784400

예제 출력 2

12112122212110202102
22222222222222222222