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문제

2048 게임을 플레이하는 프로그램을 만들어 보자.

이 링크에서 원본 2048 게임을 해볼 수 있다. 원본 2048 게임과 이 문제에서의 2048 게임의 규칙 차이점은 아래와 같으며, 자세한 규칙은 하단 노트 탭에서 확인할 수 있다.

  • 새로 생성되는 블록은 반드시 2가 적혀 있다. 원본 게임에서는 낮은 확률로 4가 적힌 블록이 생성될 수도 있다.
  • 게임 시작과 동시에 블록이 1개만 생성된다. 원본 게임에서는 2개가 생성된다.
  • 2048점을 달성하더라도 게임이 종료되지는 않는다.

인터랙션

당신의 프로그램은 아래의 과정을 통해 표준입력과 표준출력으로 인터랙터와 상호작용해야 한다. 인터랙션은 게임이 종료될 때까지 아래 절차를 반복한다.

  • 인터랙터는 2가 적힌 블록을 생성할 좌표를 나타내는 1 이상 16 이하의 정수를 하나 출력한다. 왼쪽 위의 칸부터 1, 2, 3, 4로 번호가 매겨지며 맨 오른쪽 아래 칸에 16이 매겨진다. 즉, $i$행 $j$열은 $4(i-1)+j$로 나타낸다.
  • 프로그램은 어떤 방향으로 이동할지 "UP", "DOWN", "LEFT", "RIGHT" 중 하나를 출력한다. 이는 각각 상하좌우를 의미한다.

게임은 아래와 같은 상황에서 종료된다.

  • 2가 적힌 블록을 생성해야 할 때 빈칸이 없는 상황
  • 이동할 수 없는 방향을 출력한 상황
  • "UP", "DOWN", "LEFT", "RIGHT" 이외의 문자열을 출력한 상황

게임이 종료되면 인터랙터는 2가 적힌 블록을 생성할 좌표 대신 -1을 출력하며, 이후에도 프로그램이 종료되지 않는다면 예기치 못한 채점 결과를 받을 수 있다.

점수

  • 각 실행에서의 점수는 게임 종료 시점에서 각 블록이 나타내는 수들의 최댓값이다. 단, 점수가 8점 이하인 경우 0점 처리된다.
  • 문제의 점수는 16회 실행했을 때 점수의 평균이다.

예제 입력 1

10

4

6

15

8

-1

예제 출력 1


UP

LEFT

RIGHT

DOWN

DOWN

노트

이 문제에서의 2048 게임의 규칙은 아래와 같다.

  • 2048 게임은 4×4 크기의 격자판 위에서 진행된다.
  • 처음에는 판에 아무 블록도 없고, 게임 시작과 동시에 판의 랜덤한 칸 하나에 2가 적힌 블록이 생성된다.
  • 플레이어는 상하좌우 중 한 방향을 선택한 후 이동할 수 있다. 한 번의 이동에서는 격자 위의 블록이 전부 그 방향으로 움직인다. 블록들은 격자판의 끝이나 다른 수 블록과 충돌하면 멈춘다. 같은 수가 적힌 수 블록끼리 충돌할 경우 하나로 합쳐지며, 합쳐진 블록에 적힌 수는 두 블록에 적힌 수의 합과 같다. 모든 블록이 멈춘다면 한 번의 이동이 끝난다.
  • 한 번의 이동이 끝날 때마다 격자판 위의 빈칸들 중 하나가 무작위로 선택되어 2가 적힌 블록이 생성된다.
  • 한 번의 이동에서 이미 합쳐진 블록은 다시 합쳐질 수 없다. 예를 들어, 2가 적힌 블록 4개가 가로로 연속되어 있을 때, 왼쪽으로 한 번 이동하면 8이 적힌 블록이 생기는 대신 4가 적힌 블록 2개가 생긴다.
  • 한 번의 이동에서 블록이 합쳐지는 우��순위는 이동 방향과 같다. 예를 들어, 2가 적힌 블록 3개가 가로로 연속되어 있을 때, 왼쪽으로 한 번 이동하면 합쳐진 4가 적힌 블록은 남은 2가 적힌 블록의 왼쪽에 있게 된다.
  • 이동 결과 게임판 위에 실제로 움직이는 블록이 하나도 없다면 그 방향으로는 이동할 수 없다.
  • 어떤 방향으로도 이동할 수 없는 경우 게임이 종료된다.

예제의 빈 줄은 입출력이 어떤 방식으로 이루어지는지 이해를 돕기 위해 의도적으로 추가된 것이며, 실제 입출력에는 빈 줄이 나타나지 않는다.

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\uc54a\ub294\ub2e4.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"Korean","custom_interaction":"<p>\ub2f9\uc2e0\uc758 \ud504\ub85c\uadf8\ub7a8\uc740 \uc544\ub798\uc758 \uacfc\uc815\uc744 \ud1b5\ud574 \ud45c\uc900\uc785\ub825\uacfc \ud45c\uc900\ucd9c\ub825\uc73c\ub85c \uc778\ud130\ub799\ud130\uc640 \uc0c1\ud638\uc791\uc6a9\ud574\uc57c \ud55c\ub2e4. \uc778\ud130\ub799\uc158\uc740 \uac8c\uc784\uc774 \uc885\ub8cc\ub420 \ub54c\uae4c\uc9c0 \uc544\ub798 \uc808\ucc28\ub97c \ubc18\ubcf5\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc778\ud130\ub799\ud130\ub294 2\uac00 \uc801\ud78c \ube14\ub85d\uc744 \uc0dd\uc131\ud560 \uc88c\ud45c\ub97c \ub098\ud0c0\ub0b4\ub294 1 \uc774\uc0c1 16 \uc774\ud558\uc758 \uc815\uc218\ub97c \ud558\ub098 \ucd9c\ub825\ud55c\ub2e4. \uc67c\ucabd \uc704\uc758 \uce78\ubd80\ud130 1, 2, 3, 4\ub85c \ubc88\ud638\uac00 \ub9e4\uaca8\uc9c0\uba70 \ub9e8 \uc624\ub978\ucabd \uc544\ub798 \uce78\uc5d0 16\uc774 \ub9e4\uaca8\uc9c4\ub2e4. \uc989, $i$\ud589 $j$\uc5f4\uc740 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\uc778\ud130\ub799\ud130\ub294 2\uac00 \uc801\ud78c \ube14\ub85d\uc744 \uc0dd\uc131\ud560 \uc88c\ud45c \ub300\uc2e0 -1\uc744 \ucd9c\ub825\ud558\uba70, \uc774\ud6c4\uc5d0\ub3c4 \ud504\ub85c\uadf8\ub7a8\uc774 \uc885\ub8cc\ub418\uc9c0 \uc54a\ub294\ub2e4\uba74 \uc608\uae30\uce58 \ubabb\ud55c \ucc44\uc810 \uacb0\uacfc\ub97c \ubc1b\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n","custom_scoring":"<ul>\r\n\t<li>\uac01 \uc2e4\ud589\uc5d0\uc11c\uc758 \uc810\uc218\ub294 \uac8c\uc784 \uc885\ub8cc \uc2dc\uc810\uc5d0\uc11c \uac01 \ube14\ub85d\uc774 \ub098\ud0c0\ub0b4\ub294 \uc218\ub4e4\uc758 \ucd5c\ub313\uac12\uc774\ub2e4. \ub2e8, \uc810\uc218\uac00 8\uc810 \uc774\ud558\uc778 \uacbd\uc6b0 0\uc810 \ucc98\ub9ac\ub41c\ub2e4.<\/li>\r\n\t<li>\ubb38\uc81c\uc758 \uc810\uc218\ub294 16\ud68c \uc2e4\ud589\ud588\uc744 \ub54c \uc810\uc218\uc758 \ud3c9\uade0\uc774\ub2e4.<\/li>\r\n<\/ul>\r\n"},{"problem_id":"28489","problem_lang":"1","title":"2048 Game","description":"<p>Let&#39;s write a program to play the 2048 game.<\/p>\r\n\r\n<p>You can try the original 2048 game at <a href=\"https:\/\/play2048.co\/\">this link<\/a>. The differences between the original 2048 game and the 2048 game in this problem are as follows, and you can check the detailed rules in the note tab below.<\/p>\r\n\r\n<ul>\r\n\t<li>The newly generated blocks always have a value of 2. In the original game, there is a low probability of generating blocks with a value of 4.<\/li>\r\n\t<li>Only one block is generated at the start of the game. In the original game, two blocks are generated.<\/li>\r\n\t<li>The game does not end even if you reach a score of 2048.<\/li>\r\n<\/ul>\r\n","input":"","output":"","hint":"<p>The rules of the 2048 game in this problem are as follows:<\/p>\r\n\r\n<ul>\r\n\t<li>The 2048 game is played on a 4x4 grid.<\/li>\r\n\t<li>At the beginning, there are no blocks on the grid, and a block with a value of 2 is randomly generated on one of the cells when the game starts.<\/li>\r\n\t<li>The player can choose one of the directions: up, down, left, or right to move. In one move, all the blocks on the grid move in the chosen direction. The blocks stop when they reach the edge of the grid or collide with another number block. When two blocks with the same value collide, they merge into one block with the sum of the values. After all the blocks have stopped, one empty cell on the grid is randomly selected, and a block with a value of 2 is generated.<\/li>\r\n\t<li>Once merged, a block cannot merge again in the same move. For example, if there are four blocks with a value of 2 arranged horizontally, moving them to the left will create two blocks with a value of 4 instead of one block with a value of 8.<\/li>\r\n\t<li>The priority of merging blocks in one move is the same as the direction of the movement. For example, if there are three blocks with a value of 2 arranged horizontally, moving them to the left will leave a block with a value of 4 on the left side of the remaining block with a value of 2.<\/li>\r\n\t<li>If there are no blocks actually moving on the grid after a move, it means that the movement in that direction is not possible.<\/li>\r\n\t<li>The game ends when there is no possible move in any direction.<\/li>\r\n<\/ul>\r\n\r\n<p>Note that the empty lines in the example input and output are for the sake of clarity, and do not occur in the real interaction.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"English","custom_interaction":"<p>Your program should interact with the interactor through standard input and standard output by following the steps below. The interaction repeats the following procedure until the game is over.<\/p>\r\n\r\n<ul>\r\n\t<li>The interactor outputs an integer from 1 to 16 representing the coordinates to generate a block with a value of 2. The cells are numbered from the top left corner as 1, 2, 3, 4, and the bottom right cell is numbered as 16. In other words, the $i$-th row and $j$-th column are represented as $4(i-1)+j$.<\/li>\r\n\t<li>The program outputs one of the directions &quot;UP&quot;, &quot;DOWN&quot;, &quot;LEFT&quot;, &quot;RIGHT&quot; to indicate which direction to move.<\/li>\r\n<\/ul>\r\n\r\n<p>The game ends in the following situations:<\/p>\r\n\r\n<ul>\r\n\t<li>When there are no empty cells to generate a block with a value of 2.<\/li>\r\n\t<li>When an invalid direction is output.<\/li>\r\n\t<li>When a string other than &quot;UP&quot;, &quot;DOWN&quot;, &quot;LEFT&quot;, &quot;RIGHT&quot; is output.<\/li>\r\n<\/ul>\r\n\r\n<p>When the game ends, the interactor outputs -1 instead of the coordinates to generate a block with a value of 2. If the program does not terminate after that, unexpected scoring results may be received.<\/p>\r\n","custom_scoring":"<ul>\r\n\t<li>The score for each execution is the maximum value among the numbers represented by each block at the end of the game. However, if the score is less than or equal to 8, it is treated as 0.<\/li>\r\n\t<li>The score for the problem is the average score after 16 executions.<\/li>\r\n<\/ul>\r\n"}]

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School > 한국과학영재학교 > 2022 Fall PPS Final Mock Exam A번

채점 및 기타 정보

  • 2048점 이상을 획득해야 를 받는다.
  • 예제는 채점하지 않는다.
  • 이 문제의 채점 우선 순위는 2이다.