Problem Statement

Takahashi is playing a game called Chess960.
He has decided to write a code that determines if a random initial state satisfies the conditions of Chess960.

You are given a string S of length eight. S has exactly one K and Q, and exactly two R's, B's , and N's. Determine if S satisfies all of the following conditions.

• Suppose that the x-th and y-th (x < y) characters from the left of S are B; then, x and y have different parities.

• K is between two R's. More formally, suppose that the x-th and y-th (x < y) characters from the left of S are R and the z-th is K; then x< z < y.

Input

The input is given from Standard Input in the following format:
S

Output

Print Yes if S satisfies the conditions; print No otherwise.

Constraints

• S is a string of length 8 that contains exactly one K and Q, and exactly two R's, B's , and N's.

Sample Input 1

RNBQKBNR

Sample Output 1

Yes

The 3-rd and 6-th characters are B, and 3 and 6 have different parities.
Also, K is between the two R's. Thus, the conditions are fulfilled.

Sample Input 2

KRRBBNNQ

Sample Output 2

No

K is not between the two R's.

Sample Input 3

BRKRBQNN

Sample Output 3

No

见题面 Input 部分

见题面 Output 部分