Contest Duration: - (local time) (100 minutes) Back to Home
D - Hachi /

Time Limit: 2 sec / Memory Limit: 1024 MB

### 問題文

19 の数字のみからなる数字列 S が与えられます。

8 の倍数を作れるかどうか判定してください。

### 制約

• 1 \leq |S| \leq 2 \times 10^5
• S の各文字は 19 のいずれか

S

1234

Yes

1333

### 出力例 2

No

1333 をどう並べ替えても 8 の倍数を作ることはできません。

8

### 出力例 3

Yes

Score : 400 points

### Problem Statement

Given is a digit sequence S consisting of the digits from 1 through 9.

Takahashi, the bee, loves multiples of 8.

He is trying to make a multiple of 8 by permuting the digit sequence S.

Determine whether it is possible.

### Constraints

• 1 \leq |S| \leq 2 \times 10^5
• Each character of S is one of the digits from 1 through 9.

### Input

Input is given from Standard Input in the following format:

S

### Output

If it is possible to make a multiple of 8 by permuting the digit sequence S, print Yes; otherwise, print No.

1234

### Sample Output 1

Yes

For example, permuting 1234 into 1432 results in a multiple of 8.

1333

### Sample Output 2

No

There is no way to permute 1333 into a multiple of 8.

8

Yes