시간 제한메모리 제한제출정답맞은 사람정답 비율
1 초 (추가 시간 없음) 1024 MB101463744.048%

문제

이 문제는 잘 알려진 하노이 탑 문제의 변형이다.

하노이 탑 문제는 다음과 같다. 세 개의 막대기, 즉 막대기-1, 막대기-2, 막대기-3 이 있고, 막대기1 에 크기가 다른 $n$ 개의 디스크가 내림차순으로 쌓여 있다. 즉, 가장 작은 디스크가 가장 위에, 가장 큰 디스크가 가장 아래에 놓여 있다. 문제의 목표는 막대기-1 에 쌓여 있는 모든 디스크를 막대기-3 으로 옮기는 것이다. 단, 옮기는 과정에서, 한 번에 하나의 디스크만 옮길 수 있으며, 어떤 경우에도 큰 디스크가 작은 디스크 위에 놓여서는 안 된다.

원래의 하노이 탑 문제가 아래와 같이 변형된다.

  1. 동일한 크기의 디스크가 허용된다. 따라서 디스크를 이동하는 과정에서 어떤 디스크는 크기가 동일하거나 또는 더 큰 디스크 위에 놓을 수 있다.
  2. 각 디스크는 빨간색(R), 녹색(G) 또는 파란색(B)의 세 가지 색상 중 하나로 칠해져 있다. 하지만, 동일한 크기의 디스크는 동일한 색상을 가진다.
  3. 동일한 크기의 디스크가 둘 이상일 경우, 디스크를 옮긴 후 이들 간의 상대적 순서가 유지될 수도 있고, 반대로 될 수 있는데, 이를 디스크 색이 결정한다. 즉, 디스크 색이 빨간색이면 모든 디스크를 최종적으로 이동한 후 동일한 크기의 디스크의 상대적인 순서가 반대로 되어야 한다. 디스크의 색이 파란색이면 모든 디스크의 이동이 완료된 후의 상대적인 순서가 처음의 순서와 동일해야 한다. 그리고 색이 녹색이면 이동 후의 상대적인 순서가 중요하지 않다. 다만, 디스크를 이동시키는 중간 과정에서는 상대적인 순서에 대한 조건을 만족할 필요는 없다.
  4. 디스크 이동의 총 횟수를 최소화해야 한다.

그림 C.1 은 디스크를 모두 옮긴 후, 크기가 같은 디스크의 색상에 따른 상대적 순서의 조건을 만족시키는 예를 보여준다.

그림 C.1

입력

입력은 표준입력을 사용한다. 첫 번째 줄에는 정수 $m$ ($1 \le m \le 25$)이 주어진다. 여기서, $m$은 가장 큰 디스크의 지름을 나타낸다. 이어지는 $m$ 줄에서, $i$ ($1 \le i \le m$) 번째 줄에는 하나의 영어 대문자와 정수 $𝑘$ ($\ge 1$)가 주어지는데, 이는 지름의 크기가 $i$ 인 디스크에 관한 정보를 나타낸다. 즉, 영어 대문자는 디스크의 색을, 정수 $k$는 동일한 크기의 디스크 개수를 나타낸다. 문자 ‘R’은 빨간색, ‘G’는 녹색, ‘B’는 파란색을 각각 의미한다. $1$부터 $m$까지의 디스크 지름 각각에 대해서, 그 지름을 가진 디스크가 적어도 하나 이상 존재한다.

참고로, 쌓여 있는 디스크의 총 개수는 50 을 넘지 않는다.

출력

출력은 표준출력을 사용한다. 결과를 한 줄에 출력하되, 디스크의 색에 따른 상대적인 순서의 조건을 만족시키면서 막대기-1 에 쌓여 있는 모든 디스크를 막대기-3 으로 이동하기 위한 최소 이동 횟수를 출력한다.

예제 입력 1

2
R 1
B 3

예제 출력 1

9

예제 입력 2

3
G 1
B 2
R 3

예제 출력 2

11

예제 입력 3

5
G 2
R 3
R 2
G 3
B 3

예제 출력 3

120
[{"problem_id":"23240","problem_lang":"0","title":"Colorful Tower of Hanoi","description":"<p>\uc774 \ubb38\uc81c\ub294 \uc798 \uc54c\ub824\uc9c4 \ud558\ub178\uc774 \ud0d1 \ubb38\uc81c\uc758 \ubcc0\ud615\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud558\ub178\uc774 \ud0d1 \ubb38\uc81c\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4. \uc138 \uac1c\uc758 \ub9c9\ub300\uae30, \uc989 \ub9c9\ub300\uae30-1, \ub9c9\ub300\uae30-2, \ub9c9\ub300\uae30-3 \uc774 \uc788\uace0, \ub9c9\ub300\uae301 \uc5d0 \ud06c\uae30\uac00 \ub2e4\ub978 $n$ \uac1c\uc758 \ub514\uc2a4\ud06c\uac00 \ub0b4\ub9bc\ucc28\uc21c\uc73c\ub85c \uc313\uc5ec \uc788\ub2e4. \uc989, \uac00\uc7a5 \uc791\uc740 \ub514\uc2a4\ud06c\uac00 \uac00\uc7a5 \uc704\uc5d0, \uac00\uc7a5 \ud070 \ub514\uc2a4\ud06c\uac00 \uac00\uc7a5 \uc544\ub798\uc5d0 \ub193\uc5ec \uc788\ub2e4. \ubb38\uc81c\uc758 \ubaa9\ud45c\ub294 \ub9c9\ub300\uae30-1 \uc5d0 \uc313\uc5ec \uc788\ub294 \ubaa8\ub4e0 \ub514\uc2a4\ud06c\ub97c \ub9c9\ub300\uae30-3 \uc73c\ub85c \uc62e\uae30\ub294 \uac83\uc774\ub2e4. \ub2e8, \uc62e\uae30\ub294 \uacfc\uc815\uc5d0\uc11c, \ud55c \ubc88\uc5d0 \ud558\ub098\uc758 \ub514\uc2a4\ud06c\ub9cc \uc62e\uae38 \uc218 \uc788\uc73c\uba70, \uc5b4\ub5a4 \uacbd\uc6b0\uc5d0\ub3c4 \ud070 \ub514\uc2a4\ud06c\uac00 \uc791\uc740 \ub514\uc2a4\ud06c \uc704\uc5d0 \ub193\uc5ec\uc11c\ub294 \uc548 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc6d0\ub798\uc758 \ud558\ub178\uc774 \ud0d1 \ubb38\uc81c\uac00 \uc544\ub798\uc640 \uac19\uc774 \ubcc0\ud615\ub41c\ub2e4.<\/p>\r\n\r\n<ol>\r\n\t<li>\ub3d9\uc77c\ud55c \ud06c\uae30\uc758 \ub514\uc2a4\ud06c\uac00 \ud5c8\uc6a9\ub41c\ub2e4. \ub530\ub77c\uc11c \ub514\uc2a4\ud06c\ub97c \uc774\ub3d9\ud558\ub294 \uacfc\uc815\uc5d0\uc11c \uc5b4\ub5a4 \ub514\uc2a4\ud06c\ub294 \ud06c\uae30\uac00 \ub3d9\uc77c\ud558\uac70\ub098 \ub610\ub294 \ub354 \ud070 \ub514\uc2a4\ud06c \uc704\uc5d0 \ub193\uc744 \uc218 \uc788\ub2e4.<\/li>\r\n\t<li>\uac01 \ub514\uc2a4\ud06c\ub294 \ube68\uac04\uc0c9(<code>R<\/code>), \ub179\uc0c9(<code>G<\/code>) \ub610\ub294 \ud30c\ub780\uc0c9(<code>B<\/code>)\uc758 \uc138 \uac00\uc9c0 \uc0c9\uc0c1 \uc911 \ud558\ub098\ub85c \uce60\ud574\uc838 \uc788\ub2e4. \ud558\uc9c0\ub9cc, \ub3d9\uc77c\ud55c \ud06c\uae30\uc758 \ub514\uc2a4\ud06c\ub294 \ub3d9\uc77c\ud55c \uc0c9\uc0c1\uc744 \uac00\uc9c4\ub2e4.<\/li>\r\n\t<li>\ub3d9\uc77c\ud55c \ud06c\uae30\uc758 \ub514\uc2a4\ud06c\uac00 \ub458 \uc774\uc0c1\uc77c \uacbd\uc6b0, \ub514\uc2a4\ud06c\ub97c \uc62e\uae34 \ud6c4 \uc774\ub4e4 \uac04\uc758 \uc0c1\ub300\uc801 \uc21c\uc11c\uac00 \uc720\uc9c0\ub420 \uc218\ub3c4 \uc788\uace0, \ubc18\ub300\ub85c \ub420 \uc218 \uc788\ub294\ub370, \uc774\ub97c \ub514\uc2a4\ud06c \uc0c9\uc774 \uacb0\uc815\ud55c\ub2e4. \uc989, \ub514\uc2a4\ud06c \uc0c9\uc774 \ube68\uac04\uc0c9\uc774\uba74 \ubaa8\ub4e0 \ub514\uc2a4\ud06c\ub97c \ucd5c\uc885\uc801\uc73c\ub85c \uc774\ub3d9\ud55c \ud6c4 \ub3d9\uc77c\ud55c \ud06c\uae30\uc758 \ub514\uc2a4\ud06c\uc758 \uc0c1\ub300\uc801\uc778 \uc21c\uc11c\uac00 \ubc18\ub300\ub85c \ub418\uc5b4\uc57c \ud55c\ub2e4. \ub514\uc2a4\ud06c\uc758 \uc0c9\uc774 \ud30c\ub780\uc0c9\uc774\uba74 \ubaa8\ub4e0 \ub514\uc2a4\ud06c\uc758 \uc774\ub3d9\uc774 \uc644\ub8cc\ub41c \ud6c4\uc758 \uc0c1\ub300\uc801\uc778 \uc21c\uc11c\uac00 \ucc98\uc74c\uc758 \uc21c\uc11c\uc640 \ub3d9\uc77c\ud574\uc57c \ud55c\ub2e4. \uadf8\ub9ac\uace0 \uc0c9\uc774 \ub179\uc0c9\uc774\uba74 \uc774\ub3d9 \ud6c4\uc758 \uc0c1\ub300\uc801\uc778 \uc21c\uc11c\uac00 \uc911\uc694\ud558\uc9c0 \uc54a\ub2e4. \ub2e4\ub9cc, \ub514\uc2a4\ud06c\ub97c \uc774\ub3d9\uc2dc\ud0a4\ub294 \uc911\uac04 \uacfc\uc815\uc5d0\uc11c\ub294 \uc0c1\ub300\uc801\uc778 \uc21c\uc11c\uc5d0 \ub300\ud55c \uc870\uac74\uc744 \ub9cc\uc871\ud560 \ud544\uc694\ub294 \uc5c6\ub2e4.<\/li>\r\n\t<li>\ub514\uc2a4\ud06c \uc774\ub3d9\uc758 \ucd1d \ud69f\uc218\ub97c \ucd5c\uc18c\ud654\ud574\uc57c \ud55c\ub2e4.<\/li>\r\n<\/ol>\r\n\r\n<p>\uadf8\ub9bc C.1 \uc740 \ub514\uc2a4\ud06c\ub97c \ubaa8\ub450 \uc62e\uae34 \ud6c4, \ud06c\uae30\uac00 \uac19\uc740 \ub514\uc2a4\ud06c\uc758 \uc0c9\uc0c1\uc5d0 \ub530\ub978 \uc0c1\ub300\uc801 \uc21c\uc11c\uc758 \uc870\uac74\uc744 \ub9cc\uc871\uc2dc\ud0a4\ub294 \uc608\ub97c \ubcf4\uc5ec\uc900\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/793f7a4f-d11f-4366-abbc-55d995186e3c\/-\/preview\/\" style=\"width: 400px; height: 197px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\uadf8\ub9bc C.1<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \ud45c\uc900\uc785\ub825\uc744 \uc0ac\uc6a9\ud55c\ub2e4. \uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \uc815\uc218 $m$ ($1 \\le m \\le 25$)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uc5ec\uae30\uc11c, $m$\uc740 \uac00\uc7a5 \ud070 \ub514\uc2a4\ud06c\uc758 \uc9c0\ub984\uc744 \ub098\ud0c0\ub0b8\ub2e4. \uc774\uc5b4\uc9c0\ub294 $m$ \uc904\uc5d0\uc11c, $i$ ($1 \\le i \\le m$) \ubc88\uc9f8 \uc904\uc5d0\ub294 \ud558\ub098\uc758 \uc601\uc5b4 \ub300\ubb38\uc790\uc640 \uc815\uc218 $\ud835\udc58$ ($\\ge 1$)\uac00 \uc8fc\uc5b4\uc9c0\ub294\ub370, \uc774\ub294 \uc9c0\ub984\uc758 \ud06c\uae30\uac00 $i$ \uc778 \ub514\uc2a4\ud06c\uc5d0 \uad00\ud55c \uc815\ubcf4\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uc989, \uc601\uc5b4 \ub300\ubb38\uc790\ub294 \ub514\uc2a4\ud06c\uc758 \uc0c9\uc744, \uc815\uc218 $k$\ub294 \ub3d9\uc77c\ud55c \ud06c\uae30\uc758 \ub514\uc2a4\ud06c \uac1c\uc218\ub97c \ub098\ud0c0\ub0b8\ub2e4. \ubb38\uc790 &lsquo;<code>R<\/code>&rsquo;\uc740 \ube68\uac04\uc0c9, &lsquo;<code>G<\/code>&rsquo;\ub294 \ub179\uc0c9, &lsquo;<code>B<\/code>&rsquo;\ub294 \ud30c\ub780\uc0c9\uc744 \uac01\uac01 \uc758\ubbf8\ud55c\ub2e4. $1$\ubd80\ud130 $m$\uae4c\uc9c0\uc758 \ub514\uc2a4\ud06c \uc9c0\ub984 \uac01\uac01\uc5d0 \ub300\ud574\uc11c, \uadf8 \uc9c0\ub984\uc744 \uac00\uc9c4 \ub514\uc2a4\ud06c\uac00 \uc801\uc5b4\ub3c4 \ud558\ub098 \uc774\uc0c1 \uc874\uc7ac\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ucc38\uace0\ub85c, \uc313\uc5ec \uc788\ub294 \ub514\uc2a4\ud06c\uc758 \ucd1d \uac1c\uc218\ub294 50 \uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\ucd9c\ub825\uc740 \ud45c\uc900\ucd9c\ub825\uc744 \uc0ac\uc6a9\ud55c\ub2e4. \uacb0\uacfc\ub97c \ud55c \uc904\uc5d0 \ucd9c\ub825\ud558\ub418, \ub514\uc2a4\ud06c\uc758 \uc0c9\uc5d0 \ub530\ub978 \uc0c1\ub300\uc801\uc778 \uc21c\uc11c\uc758 \uc870\uac74\uc744 \ub9cc\uc871\uc2dc\ud0a4\uba74\uc11c \ub9c9\ub300\uae30-1 \uc5d0 \uc313\uc5ec \uc788\ub294 \ubaa8\ub4e0 \ub514\uc2a4\ud06c\ub97c \ub9c9\ub300\uae30-3 \uc73c\ub85c \uc774\ub3d9\ud558\uae30 \uc704\ud55c \ucd5c\uc18c \uc774\ub3d9 \ud69f\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"23240","problem_lang":"1","title":"Colorful Tower of Hanoi","description":"<p>This problem is a variant of the well-known Tower of Hanoi problem.<\/p>\r\n\r\n<p>The Tower of Hanoi problem can be described as follows. There are three rods, say, rod-1, rod-2, and rod-3. On rod-1, $n$ disks of different sizes are stacked in decreasing order. That is, the smallest disk is at the top and the largest is at the bottom. The goal of the problem is to move all the disks stacked on rod-1 to rod-3. However, during the transfer process, only one disk can be moved from on rod to another at a time, and a disk must not be placed on top of a smaller one.<\/p>\r\n\r\n<p>The original problem is changed as follows.<\/p>\r\n\r\n<ol>\r\n\t<li>Disks of the same size are allowed. Therefore, in the process of moving disks, a disk can be placed on top of a disk of the same size or larger.<\/li>\r\n\t<li>Each disk is painted in one of three colors: red, green, or blue. However, disks of the same size are painted in the same color.<\/li>\r\n\t<li>If there are two or more disks of the same size, the relative order between them may be maintained or reversed after moving the disks, which is determined by the disk color. That is, if the disk color is red, the relative order of disks of the same size should be reversed after all disks are finally moved. If the color of the disk is blue, the relative order must be the same as the initial order. And if the color is green, the relative order after movement is not important. However, it is not necessary to satisfy the condition for the relative order in the intermediate process of moving the disks.<\/li>\r\n\t<li>The total number of disk moves should be minimized.<\/li>\r\n<\/ol>\r\n\r\n<p>Figure C.1 shows an example which satisfies the conditions of relative order depending on the colors after moving all the disks from rod-1 to rod-3.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/793f7a4f-d11f-4366-abbc-55d995186e3c\/-\/preview\/\" style=\"width: 400px; height: 197px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure C.1<\/p>\r\n","input":"<p>Your program is to read from standard input. The input starts with a line containing an integer $m$ ($1 \\le m \\le 25$), where $m$&nbsp;indicates the largest diameter of disks. For each disk of size $1$ to $m$, the disk information is given in turn in the following $m$ lines. More specifically, the $i$-th ($1 \\le i \\le m$) line contains an upper-case character and an integer $k$ ($\\ge 1$), which indicate the color and the number of the disks with diameter $i$, respectively. The character to specify the color is either &lsquo;<code>R<\/code>&rsquo; for red, &lsquo;<code>G<\/code>&rsquo; for green, or &lsquo;<code>B<\/code>&rsquo; for blue. Note that for each size of $1$ to $m$, there is at least one disk with that size.<\/p>\r\n\r\n<p>Note that the total number of disks is no more than 50.<\/p>\r\n","output":"<p>Your program is to write to standard output. Print exactly one line. The line should contain the minimum number of moves to move all the disks initially stacked on rod-1 to rod-3 satisfying the conditions on relative order depending on colors.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English"}]