Snuke the Wizard

There are N squares numbered 1 to N from left to right. Each square has a character written on it, and Square i has a letter s_i. Besides, there is initially one golem on each square.

Snuke cast Q spells to move the golems.

The i-th spell consisted of two characters t_i and d_i, where d_i is L or R. When Snuke cast this spell, for each square with the character t_i, all golems on that square moved to the square adjacent to the left if d_i is L, and moved to the square adjacent to the right if d_i is R.

However, when a golem tried to move left from Square 1 or move right from Square N, it disappeared.

Find the number of golems remaining after Snuke cast the Q spells.

Constraints

• 1 \leq N,Q \leq 2 \times 10^{5}
• |s| = N
• s_i and t_i are uppercase English letters.
• d_i is L or R.

Input

Input is given from Standard Input in the following format:

N Q s t_1 d_1 \vdots t_{Q} d_Q

Output

Print the answer.

Examples

Input

3 4 ABC A L B L B R A R

Output

2

Input

8 3 AABCBDBA A L B R A R

Output

5

Input

10 15 SNCZWRCEWB B R R R E R W R Z L S R Q L W L B R C L A L N L E R Z L S L

Output

3

inputFormat

Input

Input is given from Standard Input in the following format:

N Q s t_1 d_1 \vdots t_{Q} d_Q

outputFormat

Output

Print the answer.

Examples

Input

3 4 ABC A L B L B R A R

Output

2

Input

8 3 AABCBDBA A L B R A R

Output

5

Input

10 15 SNCZWRCEWB B R R R E R W R Z L S R Q L W L B R C L A L N L E R Z L S L

Output

3

样例

10 15
SNCZWRCEWB
B R
R R
E R
W R
Z L
S R
Q L
W L
B R
C L
A L
N L
E R
Z L
S L

3