C. Brutality Educational Codeforces Round 59 (Rated for Div. 2) 贪心+思维

C. Brutality

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

You are playing a new famous fighting game: Kortal Mombat XII. You have to perform a brutality on your opponent's character.

You are playing the game on the new generation console so your gamepad have 2626 buttons. Each button has a single lowercase Latin letter from 'a' to 'z' written on it. All the letters on buttons are pairwise distinct.

You are given a sequence of hits, the ii-th hit deals aiai units of damage to the opponent's character. To perform the ii-th hit you have to press the button sisi on your gamepad. Hits are numbered from 11 to nn.

You know that if you press some button more than kk times in a row then it'll break. You cherish your gamepad and don't want to break any of its buttons.

To perform a brutality you have to land some of the hits of the given sequence. You are allowed to skip any of them, however changing the initial order of the sequence is prohibited. The total damage dealt is the sum of aiai over all ii for the hits which weren't skipped.

Note that if you skip the hit then the counter of consecutive presses the button won't reset.

Your task is to skip some hits to deal the maximum possible total damage to the opponent's character and not break your gamepad buttons.

Input

The first line of the input contains two integers nn and kk (1≤k≤n≤2⋅1051≤k≤n≤2⋅105) — 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 nn integers a1,a2,…,ana1,a2,…,an (1≤ai≤1091≤ai≤109), where aiai is the damage of the ii-th hit.

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

Output

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

Examples

input

Copy

7 3
1 5 16 18 7 2 10
baaaaca

output

Copy

54

input

Copy

5 5
2 4 1 3 1000
aaaaa

output

Copy

1010

input

Copy

5 4
2 4 1 3 1000
aaaaa

output

Copy

1009

input

Copy

8 1
10 15 2 1 4 8 15 16
qqwweerr

output

Copy

41

input

Copy

6 3
14 18 9 19 2 15
cccccc

output

Copy

52

input

Copy

2 1
10 10
qq

output

Copy

10

Note

In the first example you can choose hits with numbers [1,3,4,5,6,7][1,3,4,5,6,7] with the total damage 1+16+18+7+2+10=541+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=10102+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=10092+4+3+1000=1009.

In the fourth example you can choose hits with numbers [2,3,6,8][2,3,6,8]. Only this way you can reach the maximum total damage 15+2+8+16=4115+2+8+16=41.

In the fifth example you can choose only hits with numbers [2,4,6][2,4,6] with the total damage 18+19+15=5218+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 1010.

题目大意：

给你一个数字n和k，n代表有n次操作，k代表一个按钮最大连续按的次数。

接下来就是一行数字，代表这一次的伤害值，

接下来又是一串字母，这个代表第i次操作要按的按钮，这个与上面的相对应，让你求最大的伤害值。

这个就是一个贪心的题目，需要你仔细一点，这个题目读懂就好写了，这个就是如果要连续按下同一个按钮就超过k次这个按钮就错了，

但是呢，如果中途有别的按钮按了，这个按钮之前的次数就会消除。