A12278 | Brutality

The first line of the input contains two integers $n$ and $k$ ( $1 \le k \le n \le 2 \cdot 10^5$ ) — the number of hits and the maximum number of times you can push the same button in a row.

The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ( $1 \le a_i \le 10^9$ ), where $a_i$ is the damage of the $i$ -th hit.

The third line of the input contains the string $s$ consisting of exactly $n$ lowercase Latin letters — the sequence of hits (each character is the letter on the button you need to press to perform the corresponding hit).

Print one integer $dmg$ — the maximum possible damage to the opponent's character you can deal without breaking your gamepad buttons.

In the first example you can choose hits with numbers $[1, 3, 4, 5, 6, 7]$ with the total damage $1 + 16 + 18 + 7 + 2 + 10 = 54$ .

In the second example you can choose all hits so the total damage is $2 + 4 + 1 + 3 + 1000 = 1010$ .

In the third example you can choose all hits expect the third one so the total damage is $2 + 4 + 3 + 1000 = 1009$ .

In the fourth example you can choose hits with numbers $[2, 3, 6, 8]$ . Only this way you can reach the maximum total damage $15 + 2 + 8 + 16 = 41$ .

In the fifth example you can choose only hits with numbers $[2, 4, 6]$ with the total damage $18 + 19 + 15 = 52$ .

In the sixth example you can change either first hit or the second hit (it does not matter) with the total damage $10$ .