시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 (추가 시간 없음) 256 MB217322620.800%

문제

어피치는 전설 속의 보물을 찾기 위해 여행을 떠났고, 여러 관문을 돌파한 끝에 보물이 들어 있으리라 추정되는 상자를 찾았다. 하지만 그 상자는 잠금이 걸려 있었고, 거기에는 “상자를 열려면 상자 아래의 글자들을 잘 바꾸어 앞으로 읽으나 뒤로 읽으나 똑같아지도록 하라”라는 글귀가 쓰여 있었다.

상자 근처를 탐색해 보니 상자 아래에 알파벳이 쓰여 있는 석판 여러 장이 일렬로 놓여 있었다. 또한 상자의 주위에는 알파벳이 쓰여 있는 석판이 매우 많이 있었다. 아무래도 석판들을 잘 교체하여 상자 아래 일렬로 놓인 석판들을 회문(앞에서 뒤로 읽으나 뒤에서 앞으로 읽으나 똑같은 낱말이나 숫자 또는 문장)으로 만들면 상자가 열리는 듯하다. 어피치는 체력이 얼마 없기 때문에, 소모하는 체력을 최소로 하여 보물을 얻고자 한다. 각 석판은 교체하는 데 소모되는 체력이 다르다. 또한, 한 번 이동하는 데 c 만큼 체력이 소모된다. 즉, 이전 위치가 i 번째 석판이었는데 이번에 j 번째 석판을 교체하고자 한다면 그 위치까지 이동하는 동안 c * |j - i| 의 체력이 소모된다. N 개의 석판에 대해, 각각의 석판이 있는 위치에서 시작할 때 보물을 얻기 위해 소모되는 최소 체력을 구하시오.

입력

첫 줄에 테스트 케이스의 개수 T 가 주어진다. (1 ≤ T ≤ 100,000)

다음 줄부터 T 개의 테스트 케이스가 다음과 같은 형식으로 주어진다.

첫째 줄에 상자 아래 석판의 개수 N(1 ≤ N ≤ 1,000,000)과 한 칸 이동할 때 소모되는 체력 c 가 주어진다. (1 ≤ c ≤ 109)

둘째 줄에 길이 N 인 문자열이 주어진다. 문자열의 i 번째 문자는 i 번째 석판에 쓰여 있는 문자를 나타낸다. 각 문자는 알파벳 대문자이다.

셋째 줄에는 N 개의 수가 주어진다. i 번째 수는 i 번째 석판을 교체하는 데 소모되는 체력을 나타낸다. 하나의 석판을 교체할 때 소모되는 체력은 1 이상 109 이하이다.

주어지는 모든 N 의 합은 1,000,000을 초과하지 않는다.

출력

각 테스트 케이스에 대해, 각 석판이 있는 위치에서 시작했을 때 어피치가 소모해야 하는 최소 체력을 공백을 사이에 두고 한 줄로 출력한다.

예제 입력 1

2
5 1
ABCDE
7 1 4 5 1
5 1
ABCDA
7 1 4 5 1

예제 출력 1

6 5 6 6 5
2 1 2 3 4

첫 번째 테스트 케이스에 대해, 시작 위치가 첫 번째 석판일 때 최적의 방법 중 하나는 오른쪽으로 1칸 이동하여 B를 D로 바꾼 후, 3칸 이동하여 E를 A로 바꾸는 것이다.

[{"problem_id":"16001","problem_lang":"0","title":"\ubcf4\ubb3c \uc0c1\uc790 \uc5f4\uae30","description":"<p>\uc5b4\ud53c\uce58\ub294 \uc804\uc124 \uc18d\uc758 \ubcf4\ubb3c\uc744 \ucc3e\uae30 \uc704\ud574 \uc5ec\ud589\uc744 \ub5a0\ub0ac\uace0, \uc5ec\ub7ec \uad00\ubb38\uc744 \ub3cc\ud30c\ud55c \ub05d\uc5d0 \ubcf4\ubb3c\uc774 \ub4e4\uc5b4 \uc788\uc73c\ub9ac\ub77c \ucd94\uc815\ub418\ub294 \uc0c1\uc790\ub97c \ucc3e\uc558\ub2e4. \ud558\uc9c0\ub9cc \uadf8 \uc0c1\uc790\ub294 \uc7a0\uae08\uc774 \uac78\ub824 \uc788\uc5c8\uace0, \uac70\uae30\uc5d0\ub294 &ldquo;\uc0c1\uc790\ub97c \uc5f4\ub824\uba74 \uc0c1\uc790 \uc544\ub798\uc758 \uae00\uc790\ub4e4\uc744 \uc798 \ubc14\uafb8\uc5b4 \uc55e\uc73c\ub85c \uc77d\uc73c\ub098 \ub4a4\ub85c \uc77d\uc73c\ub098 \ub611\uac19\uc544\uc9c0\ub3c4\ub85d \ud558\ub77c&rdquo;\ub77c\ub294 \uae00\uadc0\uac00 \uc4f0\uc5ec \uc788\uc5c8\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/e9644285-f6a0-4f8c-afe0-0dcd811149cb\/-\/preview\/\" \/><\/p>\r\n\r\n<p>\uc0c1\uc790 \uadfc\ucc98\ub97c \ud0d0\uc0c9\ud574 \ubcf4\ub2c8 \uc0c1\uc790 \uc544\ub798\uc5d0 \uc54c\ud30c\ubcb3\uc774 \uc4f0\uc5ec \uc788\ub294 \uc11d\ud310 \uc5ec\ub7ec \uc7a5\uc774 \uc77c\ub82c\ub85c \ub193\uc5ec \uc788\uc5c8\ub2e4. \ub610\ud55c \uc0c1\uc790\uc758 \uc8fc\uc704\uc5d0\ub294 \uc54c\ud30c\ubcb3\uc774 \uc4f0\uc5ec \uc788\ub294 \uc11d\ud310\uc774 \ub9e4\uc6b0 \ub9ce\uc774 \uc788\uc5c8\ub2e4. \uc544\ubb34\ub798\ub3c4 \uc11d\ud310\ub4e4\uc744 \uc798 \uad50\uccb4\ud558\uc5ec \uc0c1\uc790 \uc544\ub798 \uc77c\ub82c\ub85c \ub193\uc778 \uc11d\ud310\ub4e4\uc744 \ud68c\ubb38(\uc55e\uc5d0\uc11c \ub4a4\ub85c \uc77d\uc73c\ub098 \ub4a4\uc5d0\uc11c \uc55e\uc73c\ub85c \uc77d\uc73c\ub098 \ub611\uac19\uc740 \ub0b1\ub9d0\uc774\ub098 \uc22b\uc790 \ub610\ub294 \ubb38\uc7a5)\uc73c\ub85c \ub9cc\ub4e4\uba74 \uc0c1\uc790\uac00 \uc5f4\ub9ac\ub294 \ub4ef\ud558\ub2e4. \uc5b4\ud53c\uce58\ub294 \uccb4\ub825\uc774 \uc5bc\ub9c8 \uc5c6\uae30 \ub54c\ubb38\uc5d0, \uc18c\ubaa8\ud558\ub294 \uccb4\ub825\uc744 \ucd5c\uc18c\ub85c \ud558\uc5ec \ubcf4\ubb3c\uc744 \uc5bb\uace0\uc790 \ud55c\ub2e4. \uac01 \uc11d\ud310\uc740 \uad50\uccb4\ud558\ub294 \ub370 \uc18c\ubaa8\ub418\ub294 \uccb4\ub825\uc774 \ub2e4\ub974\ub2e4. \ub610\ud55c, \ud55c \ubc88 \uc774\ub3d9\ud558\ub294 \ub370 <em>c <\/em>\ub9cc\ud07c \uccb4\ub825\uc774 \uc18c\ubaa8\ub41c\ub2e4. \uc989, \uc774\uc804 \uc704\uce58\uac00 <em>i <\/em>\ubc88\uc9f8 \uc11d\ud310\uc774\uc5c8\ub294\ub370 \uc774\ubc88\uc5d0 <em>j <\/em>\ubc88\uc9f8 \uc11d\ud310\uc744 \uad50\uccb4\ud558\uace0\uc790 \ud55c\ub2e4\uba74 \uadf8 \uc704\uce58\uae4c\uc9c0 \uc774\ub3d9\ud558\ub294 \ub3d9\uc548 <em>c<\/em> * |<em>j <\/em>- <em>i<\/em>| \uc758 \uccb4\ub825\uc774 \uc18c\ubaa8\ub41c\ub2e4. <em>N <\/em>\uac1c\uc758 \uc11d\ud310\uc5d0 \ub300\ud574, \uac01\uac01\uc758 \uc11d\ud310\uc774 \uc788\ub294 \uc704\uce58\uc5d0\uc11c \uc2dc\uc791\ud560 \ub54c \ubcf4\ubb3c\uc744 \uc5bb\uae30 \uc704\ud574 \uc18c\ubaa8\ub418\ub294 \ucd5c\uc18c \uccb4\ub825\uc744 \uad6c\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 <em>T <\/em>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; <em>T<\/em> &le; 100,000)<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\ubd80\ud130 T \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uac00 \ub2e4\uc74c\uacfc \uac19\uc740 \ud615\uc2dd\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uccab\uc9f8 \uc904\uc5d0 \uc0c1\uc790 \uc544\ub798 \uc11d\ud310\uc758 \uac1c\uc218 <em>N<\/em>(1 &le; <em>N<\/em> &le; 1,000,000)\uacfc \ud55c \uce78 \uc774\ub3d9\ud560 \ub54c \uc18c\ubaa8\ub418\ub294 \uccb4\ub825 <em>c <\/em>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; c &le; 10<sup>9<\/sup>)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0 \uae38\uc774 <em>N <\/em>\uc778 \ubb38\uc790\uc5f4\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ubb38\uc790\uc5f4\uc758 <em>i <\/em>\ubc88\uc9f8 \ubb38\uc790\ub294 <em>i <\/em>\ubc88\uc9f8 \uc11d\ud310\uc5d0 \uc4f0\uc5ec \uc788\ub294 \ubb38\uc790\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uac01 \ubb38\uc790\ub294 \uc54c\ud30c\ubcb3 \ub300\ubb38\uc790\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc14b\uc9f8 \uc904\uc5d0\ub294 <em>N <\/em>\uac1c\uc758 \uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. <em>i <\/em>\ubc88\uc9f8 \uc218\ub294 <em>i <\/em>\ubc88\uc9f8 \uc11d\ud310\uc744 \uad50\uccb4\ud558\ub294 \ub370 \uc18c\ubaa8\ub418\ub294 \uccb4\ub825\uc744 \ub098\ud0c0\ub0b8\ub2e4. \ud558\ub098\uc758 \uc11d\ud310\uc744 \uad50\uccb4\ud560 \ub54c \uc18c\ubaa8\ub418\ub294 \uccb4\ub825\uc740 1 \uc774\uc0c1 10<sup>9<\/sup> \uc774\ud558\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc8fc\uc5b4\uc9c0\ub294 \ubaa8\ub4e0 <em>N <\/em>\uc758 \ud569\uc740 1,000,000\uc744 \ucd08\uacfc\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574, \uac01 \uc11d\ud310\uc774 \uc788\ub294 \uc704\uce58\uc5d0\uc11c \uc2dc\uc791\ud588\uc744 \ub54c \uc5b4\ud53c\uce58\uac00 \uc18c\ubaa8\ud574\uc57c \ud558\ub294 \ucd5c\uc18c \uccb4\ub825\uc744 \uacf5\ubc31\uc744 \uc0ac\uc774\uc5d0 \ub450\uace0 \ud55c \uc904\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","sample_explain_1":"<p>\uccab \ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574, \uc2dc\uc791 \uc704\uce58\uac00 \uccab \ubc88\uc9f8 \uc11d\ud310\uc77c \ub54c \ucd5c\uc801\uc758 \ubc29\ubc95 \uc911 \ud558\ub098\ub294 \uc624\ub978\ucabd\uc73c\ub85c 1\uce78 \uc774\ub3d9\ud558\uc5ec B\ub97c D\ub85c \ubc14\uafbc \ud6c4, 3\uce78 \uc774\ub3d9\ud558\uc5ec E\ub97c A\ub85c \ubc14\uafb8\ub294 \uac83\uc774\ub2e4.<\/p>\r\n"},{"problem_id":"16001","problem_lang":"1","title":"Treasure Box","description":"<p>You are playing a VR game about adventures in an ancient world. You were on a journey to find the legendary treasure, and after breaking through several gates, you found a box that was supposed to contain the treasure. But the box had a lock on it with the following message: &quot;To open the box, change the letters under the box well, so that it reads the same forward and backward.&quot;<\/p>\r\n\r\n<p>After looking under the box, you found a string consisting of $N$ characters in a row. The $i$-th character is located at position $(i, 0)$, so distances between adjacent characters are $1$.<\/p>\r\n\r\n<p>It seems that the box can be opened by replacing the characters under the box and making it a palindrome. To do that, you start at some position, and you can repeatedly move to another position and replace the character at that position by any other character, until the string becomes a palindrome.<\/p>\r\n\r\n<p>Since your HP is limited, you want to gain the treasure using minimum HP. Each position requires a different amount of HP to replace the respective character. Also, it consumes $C$ HP to move a unit distance. That is, if you were at position $(i, 0)$, and you want to move to position $(j, 0)$ to replace the $j$-th character, the movement will decrease your HP by $C \\cdot |j - i|$.<\/p>\r\n\r\n<p>For each integer $i$ such that $1 \\le i \\le N$, find the minimum HP consumed to obtain the treasure if you start at position $(i, 0)$.<\/p>\r\n","input":"<p>The first line contains an integer $T$, the number of test cases ($1 \\le T \\le 100\\,000$). The test cases follow.<\/p>\r\n\r\n<p>The first line of each test case contains two integers: $N$, the number of characters under the box ($1 \\le N \\le 1\\,000\\,000$), and $C$, the amount of HP consumed when moving a unit distance ($1 \\le C \\le 10^9$).<\/p>\r\n\r\n<p>The second line consists of $N$ characters. It represents the string under the box. Each letter is an uppercase English letter.<\/p>\r\n\r\n<p>The third line contains $N$ integers. The $i$-th integer represents the HP consumed to replace the $i$-th character. Each of these integers is between $1$ and $10^9$.<\/p>\r\n\r\n<p>The sum of $N$ over all test cases does not exceed $1\\,000\\,000$.<\/p>\r\n","output":"<p>For each test case, print $N$ integers on a single line. The $i$-th integer must be the minimum HP consumed when starting at position $(i, 0)$.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","sample_explain_1":"<p>For the first test case, when the starting position is $(1, 0)$, one of the optimal ways is to first move to position $(2, 0)$ and change &quot;<code>B<\/code>&quot; to &quot;<code>D<\/code>&quot;, then move to position $(5, 0)$ and change &quot;<code>E<\/code>&quot; to &quot;<code>A<\/code>&quot;.<\/p>\r\n"}]