Problem:
Score : 100 points

Problem Statement

Decades have passed since the beginning of AtCoder Beginner Contest.

The contests are labeled as ABC001, ABC002, ... from the first round, but after the 999-th round ABC999, a problem occurred: how the future rounds should be labeled?

In the end, the labels for the rounds from the 1000-th to the 1998-th are decided: ABD001, ABD002, ..., ABD999.

You are given an integer N between 1 and 1998 (inclusive). Print the first three characters of the label of the N-th round of AtCoder Beginner Contest.

Constraints

1 \leq N \leq 1998

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

Print the first three characters of the label of the N-th round of AtCoder Beginner Contest.

Sample Input 1

999

Sample Output 1

ABC

The 999-th round of AtCoder Beginner Contest is labeled as ABC999.

Sample Input 2

1000

Sample Output 2

ABD

The 1000-th round of AtCoder Beginner Contest is labeled as ABD001.

Sample Input 3

1481

Sample Output 3

ABD

The 1481-th round of AtCoder Beginner Contest is labeled as ABD482.

Solution in PyPy3 (2.4.0) (judge verdict: Wrong Answer)

n = int(input())
dp = [i for i in range(n+1)]

for i in range(n):
    dp[i + 1] = min(dp[i + 1], dp[i] + 1)
    j = 1
    while (n >= i + j * 6):
        j *= 6
        dp[i + j] = min(dp[i + j], dp[i] + 1)
    j = 1
    while (n >= i + j * 9):
        j *= 9
        dp[i + j] = min(dp[i + j], dp[i] + 1)
print(dp[n])